1,1,40,33,0.243773,"\int \frac{\exp \left(-\frac{-10+25 x+e^x (-2+5 x)}{60-50 x+50 x^2+e^x \left(-10 x+10 x^2\right)}\right) \left(720-1400 x+1500 x^2-750 x^3+500 x^4+e^{2 x} \left(4 x+12 x^2-30 x^3+20 x^4\right)+e^x \left(-236 x+300 x^2-300 x^3+200 x^4\right)\right)}{180-300 x+425 x^2-250 x^3+125 x^4+e^{2 x} \left(5 x^2-10 x^3+5 x^4\right)+e^x \left(-60 x+110 x^2-100 x^3+50 x^4\right)} \, dx","Integrate[(720 - 1400*x + 1500*x^2 - 750*x^3 + 500*x^4 + E^(2*x)*(4*x + 12*x^2 - 30*x^3 + 20*x^4) + E^x*(-236*x + 300*x^2 - 300*x^3 + 200*x^4))/(E^((-10 + 25*x + E^x*(-2 + 5*x))/(60 - 50*x + 50*x^2 + E^x*(-10*x + 10*x^2)))*(180 - 300*x + 425*x^2 - 250*x^3 + 125*x^4 + E^(2*x)*(5*x^2 - 10*x^3 + 5*x^4) + E^x*(-60*x + 110*x^2 - 100*x^3 + 50*x^4))),x]","4 x \exp \left(-\frac{\left(e^x+5\right) (5 x-2)}{10 \left(\left(e^x+5\right) x^2-\left(e^x+5\right) x+6\right)}\right)","4 e^{-\frac{x-\frac{2}{5}}{x (2 x-2)+\frac{12}{e^x+5}}} x+4",1,"(4*x)/E^(((5 + E^x)*(-2 + 5*x))/(10*(6 - (5 + E^x)*x + (5 + E^x)*x^2)))","A",1
2,1,26,27,0.3207099,"\int \frac{32+60 x+110 x^2+32 x^3+6 x^4+\left(5 x+5 x^2+5 x^3\right) \log \left(x^2+2 x^3+3 x^4+2 x^5+x^6\right)}{-64 x-96 x^2-100 x^3-36 x^4-4 x^5+\left(16 x+24 x^2+25 x^3+9 x^4+x^5\right) \log \left(x^2+2 x^3+3 x^4+2 x^5+x^6\right)} \, dx","Integrate[(32 + 60*x + 110*x^2 + 32*x^3 + 6*x^4 + (5*x + 5*x^2 + 5*x^3)*Log[x^2 + 2*x^3 + 3*x^4 + 2*x^5 + x^6])/(-64*x - 96*x^2 - 100*x^3 - 36*x^4 - 4*x^5 + (16*x + 24*x^2 + 25*x^3 + 9*x^4 + x^5)*Log[x^2 + 2*x^3 + 3*x^4 + 2*x^5 + x^6]),x]","\log \left(4-\log \left(x^2 \left(x^2+x+1\right)^2\right)\right)-\frac{5}{x+4}","\log \left(4-\log \left(x^2 \left(x^2+x+1\right)^2\right)\right)-\frac{5}{x+4}+3",1,"-5/(4 + x) + Log[4 - Log[x^2*(1 + x + x^2)^2]]","A",1
3,1,26,33,0.0578316,"\int \frac{-36 e^x x^3+\left(-1500-1500 x+e^x (500+500 x)\right) \log \left(3-e^x\right)+\left(900+e^x (-300-300 x)+900 x\right) \log \left(3-e^x\right) \log \left(\log \left(3-e^x\right)\right)+\left(-180-180 x+e^x (60+60 x)\right) \log \left(3-e^x\right) \log ^2\left(\log \left(3-e^x\right)\right)+\left(12+e^x (-4-4 x)+12 x\right) \log \left(3-e^x\right) \log ^3\left(\log \left(3-e^x\right)\right)}{\left(375 x^3-125 e^x x^3\right) \log \left(3-e^x\right)+\left(-225 x^3+75 e^x x^3\right) \log \left(3-e^x\right) \log \left(\log \left(3-e^x\right)\right)+\left(45 x^3-15 e^x x^3\right) \log \left(3-e^x\right) \log ^2\left(\log \left(3-e^x\right)\right)+\left(-3 x^3+e^x x^3\right) \log \left(3-e^x\right) \log ^3\left(\log \left(3-e^x\right)\right)} \, dx","Integrate[(-36*E^x*x^3 + (-1500 - 1500*x + E^x*(500 + 500*x))*Log[3 - E^x] + (900 + E^x*(-300 - 300*x) + 900*x)*Log[3 - E^x]*Log[Log[3 - E^x]] + (-180 - 180*x + E^x*(60 + 60*x))*Log[3 - E^x]*Log[Log[3 - E^x]]^2 + (12 + E^x*(-4 - 4*x) + 12*x)*Log[3 - E^x]*Log[Log[3 - E^x]]^3)/((375*x^3 - 125*E^x*x^3)*Log[3 - E^x] + (-225*x^3 + 75*E^x*x^3)*Log[3 - E^x]*Log[Log[3 - E^x]] + (45*x^3 - 15*E^x*x^3)*Log[3 - E^x]*Log[Log[3 - E^x]]^2 + (-3*x^3 + E^x*x^3)*Log[3 - E^x]*Log[Log[3 - E^x]]^3),x]","\frac{2}{x^2}+\frac{4}{x}+\frac{18}{\left(\log \left(\log \left(3-e^x\right)\right)-5\right)^2}","\frac{1}{2} \left(\left(\frac{2}{x}+2\right)^2+\frac{36}{\left(5-\log \left(\log \left(3-e^x\right)\right)\right)^2}\right)+3",1,"2/x^2 + 4/x + 18/(-5 + Log[Log[3 - E^x]])^2","A",1
4,1,33,27,0.0049608,"\int \frac{-30+30 x+\left(8-4 x+12 x^2\right) \log (3)}{\log (3)} \, dx","Integrate[(-30 + 30*x + (8 - 4*x + 12*x^2)*Log[3])/Log[3],x]","\frac{4 x^3 \log (3)+15 x^2-2 x^2 \log (3)-30 x+8 x \log (3)}{\log (3)}","2-\left(-x^2+2 x-5\right) \left(x+3 \left(x+2+\frac{5}{\log (3)}\right)\right)",1,"(-30*x + 15*x^2 + 8*x*Log[3] - 2*x^2*Log[3] + 4*x^3*Log[3])/Log[3]","A",1
5,1,18,24,0.1379557,"\int e^{-x} \left(36+e^x (-1-6 x)+72 x-36 x^2+(36-36 x) \log (x)\right) \, dx","Integrate[(36 + E^x*(-1 - 6*x) + 72*x - 36*x^2 + (36 - 36*x)*Log[x])/E^x,x]","x \left(-3 x+36 e^{-x} (x+\log (x))-1\right)","-x+x \left(x-4 \left(x-9 e^{-x} (x+\log (x))\right)\right)-4",1,"x*(-1 - 3*x + (36*(x + Log[x]))/E^x)","A",1
6,1,13,26,0.0048817,"\int \frac{5-4 x-5 e^x x}{5 x} \, dx","Integrate[(5 - 4*x - 5*E^x*x)/(5*x),x]","-\frac{4 x}{5}-e^x+\log (x)","\frac{4}{5} \left(\frac{e^3}{3}-x\right)-e^x+\log (2 x)-1",1,"-E^x - (4*x)/5 + Log[x]","A",1
7,1,24,24,0.8969816,"\int \frac{e^{\frac{2 x^2}{10+7 x+x^2+e^{5+x} (10+2 x)}} \left(40 x+14 x^2+e^{5+x} \left(40 x-16 x^2-4 x^3\right)\right)}{100+140 x+69 x^2+14 x^3+x^4+e^{10+2 x} \left(100+40 x+4 x^2\right)+e^{5+x} \left(200+180 x+48 x^2+4 x^3\right)} \, dx","Integrate[(E^((2*x^2)/(10 + 7*x + x^2 + E^(5 + x)*(10 + 2*x)))*(40*x + 14*x^2 + E^(5 + x)*(40*x - 16*x^2 - 4*x^3)))/(100 + 140*x + 69*x^2 + 14*x^3 + x^4 + E^(10 + 2*x)*(100 + 40*x + 4*x^2) + E^(5 + x)*(200 + 180*x + 48*x^2 + 4*x^3)),x]","e^{\frac{2 x^2}{(x+5) \left(x+2 e^{x+5}+2\right)}}","e^{\frac{2 x^2}{(x+5) \left(x+2 e^{x+5}+2\right)}}",1,"E^((2*x^2)/((5 + x)*(2 + 2*E^(5 + x) + x)))","A",1
8,1,75,33,104.9202667,"\int \frac{(-8-3 x) \log ^2(x)+(-4-x) \log ^2(x) \log \left(4 x^2+x^3\right)+\left(-8-2 x+(-8-2 x) \log (x)+\left(20 x^2+5 x^3\right) \log ^2(x)\right) \log ^2\left(4 x^2+x^3\right)}{\left(4 x+x^2\right) \log ^2(x) \log \left(4 x^2+x^3\right)+\left(\left(8 x+2 x^2\right) \log (x)+\left(8 x^2+22 x^3+5 x^4\right) \log ^2(x)\right) \log ^2\left(4 x^2+x^3\right)} \, dx","Integrate[((-8 - 3*x)*Log[x]^2 + (-4 - x)*Log[x]^2*Log[4*x^2 + x^3] + (-8 - 2*x + (-8 - 2*x)*Log[x] + (20*x^2 + 5*x^3)*Log[x]^2)*Log[4*x^2 + x^3]^2)/((4*x + x^2)*Log[x]^2*Log[4*x^2 + x^3] + ((8*x + 2*x^2)*Log[x] + (8*x^2 + 22*x^3 + 5*x^4)*Log[x]^2)*Log[4*x^2 + x^3]^2),x]","-\log \left(\log \left(x^2 (x+4)\right)\right)+\log \left(5 x^2 \log (x) \log \left(x^2 (x+4)\right)+2 x \log (x) \log \left(x^2 (x+4)\right)+2 \log \left(x^2 (x+4)\right)+\log (x)\right)+\log (5 x+2)-\log (x (5 x+2))-\log (\log (x))","\log \left(\frac{\frac{\frac{\log (x)}{\log \left(x^2 (x+4)\right)}+2}{\log (x)}+2 x}{x}+5 x\right)",1,"Log[2 + 5*x] - Log[x*(2 + 5*x)] - Log[Log[x]] - Log[Log[x^2*(4 + x)]] + Log[Log[x] + 2*Log[x^2*(4 + x)] + 2*x*Log[x]*Log[x^2*(4 + x)] + 5*x^2*Log[x]*Log[x^2*(4 + x)]]","B",1
9,1,23,24,0.0371207,"\int \frac{2400+1176 x+102 x^2-6 x^3+\left(800+392 x+34 x^2-2 x^3\right) \log \left(\frac{x+x^2+(-100-25 x) \log (x)}{100+25 x}\right)}{-4 x^2-5 x^3-x^4+\left(400 x+200 x^2+25 x^3\right) \log (x)} \, dx","Integrate[(2400 + 1176*x + 102*x^2 - 6*x^3 + (800 + 392*x + 34*x^2 - 2*x^3)*Log[(x + x^2 + (-100 - 25*x)*Log[x])/(100 + 25*x)])/(-4*x^2 - 5*x^3 - x^4 + (400*x + 200*x^2 + 25*x^3)*Log[x]),x]","\left(\log \left(\frac{x (x+1)}{25 (x+4)}-\log (x)\right)+3\right)^2","\left(\log \left(\frac{x^2+x}{25 (x+4)}-\log (x)\right)+3\right)^2",1,"(3 + Log[(x*(1 + x))/(25*(4 + x)) - Log[x]])^2","A",1
10,1,22,24,0.0928644,"\int \frac{e^2 (-4+x)+2 e^2 \log ^2(x)}{8 x^2+\left(-32 x+8 x^2\right) \log (x)+\left(32-32 x+2 x^2\right) \log ^2(x)+(32-8 x) \log ^3(x)+8 \log ^4(x)} \, dx","Integrate[(E^2*(-4 + x) + 2*E^2*Log[x]^2)/(8*x^2 + (-32*x + 8*x^2)*Log[x] + (32 - 32*x + 2*x^2)*Log[x]^2 + (32 - 8*x)*Log[x]^3 + 8*Log[x]^4),x]","-\frac{e^2 x}{2 (x-2 \log (x)) (\log (x)+2)}","\frac{e^2 x}{2 (\log (x)+2) (2 \log (x)-x)}",1,"-1/2*(E^2*x)/((x - 2*Log[x])*(2 + Log[x]))","A",1
11,1,28,29,0.1586954,"\int \frac{24 x+48 x^2+8 x^3+e^x \left(-4 x-44 x^2-28 x^3-4 x^4\right)+e^{2 x} \left(-4 x+10 x^2+12 x^3+2 x^4\right)+\left(-40-68 x-12 x^2+e^{2 x} \left(-15 x-13 x^2-2 x^3\right)+e^x \left(20+64 x+32 x^2+4 x^3\right)\right) \log (5+x)+\log ^2\left(x^2\right) \left(-4 x+\left(-5 x-x^2\right) \log (5+x)\right)+\log \left(x^2\right) \left(4 x+24 x^2+4 x^3+e^x \left(8 x-10 x^2-12 x^3-2 x^4\right)+\left(-20-44 x-8 x^2+e^x \left(20 x+14 x^2+2 x^3\right)\right) \log (5+x)\right)}{5 x^3+x^4+\left(-10 x^2-2 x^3\right) \log (5+x)+\left(5 x+x^2\right) \log ^2(5+x)} \, dx","Integrate[(24*x + 48*x^2 + 8*x^3 + E^x*(-4*x - 44*x^2 - 28*x^3 - 4*x^4) + E^(2*x)*(-4*x + 10*x^2 + 12*x^3 + 2*x^4) + (-40 - 68*x - 12*x^2 + E^(2*x)*(-15*x - 13*x^2 - 2*x^3) + E^x*(20 + 64*x + 32*x^2 + 4*x^3))*Log[5 + x] + Log[x^2]^2*(-4*x + (-5*x - x^2)*Log[5 + x]) + Log[x^2]*(4*x + 24*x^2 + 4*x^3 + E^x*(8*x - 10*x^2 - 12*x^3 - 2*x^4) + (-20 - 44*x - 8*x^2 + E^x*(20*x + 14*x^2 + 2*x^3))*Log[5 + x]))/(5*x^3 + x^4 + (-10*x^2 - 2*x^3)*Log[5 + x] + (5*x + x^2)*Log[5 + x]^2),x]","-\frac{(x+1) \left(-\log \left(x^2\right)+e^x-2\right)^2}{\log (x+5)-x}","\frac{(x+1) \left(-\log \left(x^2\right)+e^x-2\right)^2}{x-\log (x+5)}+2",1,"-(((1 + x)*(-2 + E^x - Log[x^2])^2)/(-x + Log[5 + x]))","A",1
12,1,13,23,0.0217029,"\int \frac{-3 x \log (x)+(-2+3 x) \log (-2+3 x)}{\left(-2 x+3 x^2\right) \log (x) \log (-2+3 x)} \, dx","Integrate[(-3*x*Log[x] + (-2 + 3*x)*Log[-2 + 3*x])/((-2*x + 3*x^2)*Log[x]*Log[-2 + 3*x]),x]","\log (\log (x))-\log (\log (3 x-2))","\log \left(\frac{4 \left(e^2 x+x\right) \log (x)}{x \log (3 x-2)}\right)",1,"Log[Log[x]] - Log[Log[-2 + 3*x]]","A",1
13,1,42,25,0.2109755,"\int \frac{\left(320 x^2+1280 x^5\right) \log (x)+\left(-192 x-64 x^2-64 x^5+\left(-480 x-160 x^2-160 x^5\right) \log (x)\right) \log \left(3+x+x^4\right)+\left(-2000 x^2-8000 x^5\right) \log (x) \log ^2\left(3+x+x^4\right)+\left(1200 x+400 x^2+400 x^5+\left(6000 x+2000 x^2+2000 x^5\right) \log (x)\right) \log ^3\left(3+x+x^4\right)+\left(-18750 x-6250 x^2-6250 x^5\right) \log (x) \log ^5\left(3+x+x^4\right)+\left(\left(-64 x^2-256 x^5\right) \log (x)+\left(96 x+32 x^2+32 x^5\right) \log (x) \log \left(3+x+x^4\right)+\left(1200 x^2+4800 x^5\right) \log (x) \log ^2\left(3+x+x^4\right)+\left(-480 x-160 x^2-160 x^5+\left(-3600 x-1200 x^2-1200 x^5\right) \log (x)\right) \log ^3\left(3+x+x^4\right)+\left(18750 x+6250 x^2+6250 x^5\right) \log (x) \log ^5\left(3+x+x^4\right)\right) \log (\log (x))+\left(\left(-240 x^2-960 x^5\right) \log (x) \log ^2\left(3+x+x^4\right)+\left(48 x+16 x^2+16 x^5+\left(720 x+240 x^2+240 x^5\right) \log (x)\right) \log ^3\left(3+x+x^4\right)+\left(-7500 x-2500 x^2-2500 x^5\right) \log (x) \log ^5\left(3+x+x^4\right)\right) \log ^2(\log (x))+\left(\left(16 x^2+64 x^5\right) \log (x) \log ^2\left(3+x+x^4\right)+\left(-48 x-16 x^2-16 x^5\right) \log (x) \log ^3\left(3+x+x^4\right)+\left(1500 x+500 x^2+500 x^5\right) \log (x) \log ^5\left(3+x+x^4\right)\right) \log ^3(\log (x))+\left(-150 x-50 x^2-50 x^5\right) \log (x) \log ^5\left(3+x+x^4\right) \log ^4(\log (x))+\left(6 x+2 x^2+2 x^5\right) \log (x) \log ^5\left(3+x+x^4\right) \log ^5(\log (x))}{\left(-9375-3125 x-3125 x^4\right) \log (x) \log ^5\left(3+x+x^4\right)+\left(9375+3125 x+3125 x^4\right) \log (x) \log ^5\left(3+x+x^4\right) \log (\log (x))+\left(-3750-1250 x-1250 x^4\right) \log (x) \log ^5\left(3+x+x^4\right) \log ^2(\log (x))+\left(750+250 x+250 x^4\right) \log (x) \log ^5\left(3+x+x^4\right) \log ^3(\log (x))+\left(-75-25 x-25 x^4\right) \log (x) \log ^5\left(3+x+x^4\right) \log ^4(\log (x))+\left(3+x+x^4\right) \log (x) \log ^5\left(3+x+x^4\right) \log ^5(\log (x))} \, dx","Integrate[((320*x^2 + 1280*x^5)*Log[x] + (-192*x - 64*x^2 - 64*x^5 + (-480*x - 160*x^2 - 160*x^5)*Log[x])*Log[3 + x + x^4] + (-2000*x^2 - 8000*x^5)*Log[x]*Log[3 + x + x^4]^2 + (1200*x + 400*x^2 + 400*x^5 + (6000*x + 2000*x^2 + 2000*x^5)*Log[x])*Log[3 + x + x^4]^3 + (-18750*x - 6250*x^2 - 6250*x^5)*Log[x]*Log[3 + x + x^4]^5 + ((-64*x^2 - 256*x^5)*Log[x] + (96*x + 32*x^2 + 32*x^5)*Log[x]*Log[3 + x + x^4] + (1200*x^2 + 4800*x^5)*Log[x]*Log[3 + x + x^4]^2 + (-480*x - 160*x^2 - 160*x^5 + (-3600*x - 1200*x^2 - 1200*x^5)*Log[x])*Log[3 + x + x^4]^3 + (18750*x + 6250*x^2 + 6250*x^5)*Log[x]*Log[3 + x + x^4]^5)*Log[Log[x]] + ((-240*x^2 - 960*x^5)*Log[x]*Log[3 + x + x^4]^2 + (48*x + 16*x^2 + 16*x^5 + (720*x + 240*x^2 + 240*x^5)*Log[x])*Log[3 + x + x^4]^3 + (-7500*x - 2500*x^2 - 2500*x^5)*Log[x]*Log[3 + x + x^4]^5)*Log[Log[x]]^2 + ((16*x^2 + 64*x^5)*Log[x]*Log[3 + x + x^4]^2 + (-48*x - 16*x^2 - 16*x^5)*Log[x]*Log[3 + x + x^4]^3 + (1500*x + 500*x^2 + 500*x^5)*Log[x]*Log[3 + x + x^4]^5)*Log[Log[x]]^3 + (-150*x - 50*x^2 - 50*x^5)*Log[x]*Log[3 + x + x^4]^5*Log[Log[x]]^4 + (6*x + 2*x^2 + 2*x^5)*Log[x]*Log[3 + x + x^4]^5*Log[Log[x]]^5)/((-9375 - 3125*x - 3125*x^4)*Log[x]*Log[3 + x + x^4]^5 + (9375 + 3125*x + 3125*x^4)*Log[x]*Log[3 + x + x^4]^5*Log[Log[x]] + (-3750 - 1250*x - 1250*x^4)*Log[x]*Log[3 + x + x^4]^5*Log[Log[x]]^2 + (750 + 250*x + 250*x^4)*Log[x]*Log[3 + x + x^4]^5*Log[Log[x]]^3 + (-75 - 25*x - 25*x^4)*Log[x]*Log[3 + x + x^4]^5*Log[Log[x]]^4 + (3 + x + x^4)*Log[x]*Log[3 + x + x^4]^5*Log[Log[x]]^5),x]","x^2 \left(\frac{16}{\log ^4\left(x^4+x+3\right) (\log (\log (x))-5)^4}-\frac{8}{\log ^2\left(x^4+x+3\right) (\log (\log (x))-5)^2}+1\right)","\left(x-\frac{4 x}{\log ^2\left(x^4+x+3\right) (5-\log (\log (x)))^2}\right)^2",1,"x^2*(1 + 16/(Log[3 + x + x^4]^4*(-5 + Log[Log[x]])^4) - 8/(Log[3 + x + x^4]^2*(-5 + Log[Log[x]])^2))","A",1
14,1,40,36,0.1112982,"\int \frac{8 x+15 x^3+2 x^5+e^{5 x} \left(-2 x^2-2 x^3-4 x^4-4 x^5\right)+e^{4 x} \left(-6 x^3-6 x^4-12 x^5-12 x^6\right)+e^x \left(8 x-3 x^2+16 x^3+10 x^4+8 x^6\right)+e^{3 x} \left(-1+4 x+2 x^2+8 x^3-6 x^4-6 x^5-12 x^6-12 x^7\right)+e^{2 x} \left(-3 x+4 x^2+10 x^3+8 x^4+6 x^5-2 x^6-4 x^7-4 x^8\right)}{x^4+2 x^6+e^{3 x} \left(x+2 x^3\right)+e^{2 x} \left(3 x^2+6 x^4\right)+e^x \left(3 x^3+6 x^5\right)} \, dx","Integrate[(8*x + 15*x^3 + 2*x^5 + E^(5*x)*(-2*x^2 - 2*x^3 - 4*x^4 - 4*x^5) + E^(4*x)*(-6*x^3 - 6*x^4 - 12*x^5 - 12*x^6) + E^x*(8*x - 3*x^2 + 16*x^3 + 10*x^4 + 8*x^6) + E^(3*x)*(-1 + 4*x + 2*x^2 + 8*x^3 - 6*x^4 - 6*x^5 - 12*x^6 - 12*x^7) + E^(2*x)*(-3*x + 4*x^2 + 10*x^3 + 8*x^4 + 6*x^5 - 2*x^6 - 4*x^7 - 4*x^8))/(x^4 + 2*x^6 + E^(3*x)*(x + 2*x^3) + E^(2*x)*(3*x^2 + 6*x^4) + E^x*(3*x^3 + 6*x^5)),x]","-\frac{\left(e^x x^2+e^{2 x} x-2\right)^2}{\left(x+e^x\right)^2}+\log \left(2 x^2+1\right)-\log (x)","\log \left(\frac{1}{5} \left(x-\frac{2}{x}\right)-x\right)-\left(e^x x-\frac{2}{x+e^x}\right)^2",1,"-((-2 + E^(2*x)*x + E^x*x^2)^2/(E^x + x)^2) - Log[x] + Log[1 + 2*x^2]","A",1
15,1,28,29,0.9678776,"\int \frac{40+15 x-7 x^2+e^{4+x^2} \left(-24+12 x^2-12 x^3-4 x^5-6 x^6-2 x^7\right)}{1024+3840 x+7040 x^2+8160 x^3+6580 x^4+3843 x^5+1645 x^6+510 x^7+110 x^8+15 x^9+x^{10}} \, dx","Integrate[(40 + 15*x - 7*x^2 + E^(4 + x^2)*(-24 + 12*x^2 - 12*x^3 - 4*x^5 - 6*x^6 - 2*x^7))/(1024 + 3840*x + 7040*x^2 + 8160*x^3 + 6580*x^4 + 3843*x^5 + 1645*x^6 + 510*x^7 + 110*x^8 + 15*x^9 + x^10),x]","\frac{-e^{x^2+4} \left(x^4-2\right)+x-3}{\left(x^2+3 x+4\right)^4}","\frac{-e^{x^2+4} \left(x^4-2\right)+x-3}{\left(x-(x+2)^2\right)^4}",1,"(-3 + x - E^(4 + x^2)*(-2 + x^4))/(4 + 3*x + x^2)^4","A",1
16,1,19,14,0.0113772,"\int \frac{648+8 e^8-8 x^2}{6561+e^{16}+4 e^{12} x+162 x^2+x^4+e^8 \left(162+6 x^2\right)+e^4 \left(324 x+4 x^3\right)} \, dx","Integrate[(648 + 8*E^8 - 8*x^2)/(6561 + E^16 + 4*E^12*x + 162*x^2 + x^4 + E^8*(162 + 6*x^2) + E^4*(324*x + 4*x^3)),x]","\frac{8 x}{x^2+2 e^4 x+e^8+81}","\frac{8 x}{\left(x+e^4\right)^2+81}",1,"(8*x)/(81 + E^8 + 2*E^4*x + x^2)","A",1
17,1,18,15,0.0295786,"\int \left(6+2 x+e^{2-x} (1-x) \log (2)\right) \, dx","Integrate[6 + 2*x + E^(2 - x)*(1 - x)*Log[2],x]","x^2+6 x+e^{2-x} x \log (2)","x \left(x+e^{2-x} \log (2)+6\right)",1,"6*x + x^2 + E^(2 - x)*x*Log[2]","A",1
18,1,12,13,0.0076046,"\int \left(-1119744+(-1119744-1306368 x) \log (x)+\left(-1306368 x-653184 x^2\right) \log ^2(x)+\left(-653184 x^2-181440 x^3\right) \log ^3(x)+\left(-181440 x^3-30240 x^4\right) \log ^4(x)+\left(-30240 x^4-3024 x^5\right) \log ^5(x)+\left(-3024 x^5-168 x^6\right) \log ^6(x)+\left(-168 x^6-4 x^7\right) \log ^7(x)-4 x^7 \log ^8(x)\right) \, dx","Integrate[-1119744 + (-1119744 - 1306368*x)*Log[x] + (-1306368*x - 653184*x^2)*Log[x]^2 + (-653184*x^2 - 181440*x^3)*Log[x]^3 + (-181440*x^3 - 30240*x^4)*Log[x]^4 + (-30240*x^4 - 3024*x^5)*Log[x]^5 + (-3024*x^5 - 168*x^6)*Log[x]^6 + (-168*x^6 - 4*x^7)*Log[x]^7 - 4*x^7*Log[x]^8,x]","-\frac{1}{2} (x \log (x)+6)^8","-\frac{1}{2} (-x \log (x)-6)^8",1,"-1/2*(6 + x*Log[x])^8","A",1
19,1,132,28,0.2648996,"\int \frac{e^{3 x} \left(12-80 x+72 x^2-16 x^3+(12-8 x) \log (4)\right)+e^{2 x} \left(24-328 x+440 x^2-160 x^3+16 x^4+\left(52-80 x+16 x^2\right) \log (4)+4 \log ^2(4)\right)+e^x \left(-288 x+576 x^2-256 x^3+32 x^4+\left(48-128 x+32 x^2\right) \log (4)+8 \log ^2(4)\right)}{-1728 x^3+1728 x^4-576 x^5+64 x^6+\left(864 x^2-576 x^3+96 x^4\right) \log (4)+\left(-144 x+48 x^2\right) \log ^2(4)+8 \log ^3(4)+e^{3 x} \left(-216 x^3+216 x^4-72 x^5+8 x^6+\left(108 x^2-72 x^3+12 x^4\right) \log (4)+\left(-18 x+6 x^2\right) \log ^2(4)+\log ^3(4)\right)+e^{2 x} \left(-1296 x^3+1296 x^4-432 x^5+48 x^6+\left(648 x^2-432 x^3+72 x^4\right) \log (4)+\left(-108 x+36 x^2\right) \log ^2(4)+6 \log ^3(4)\right)+e^x \left(-2592 x^3+2592 x^4-864 x^5+96 x^6+\left(1296 x^2-864 x^3+144 x^4\right) \log (4)+\left(-216 x+72 x^2\right) \log ^2(4)+12 \log ^3(4)\right)} \, dx","Integrate[(E^(3*x)*(12 - 80*x + 72*x^2 - 16*x^3 + (12 - 8*x)*Log[4]) + E^(2*x)*(24 - 328*x + 440*x^2 - 160*x^3 + 16*x^4 + (52 - 80*x + 16*x^2)*Log[4] + 4*Log[4]^2) + E^x*(-288*x + 576*x^2 - 256*x^3 + 32*x^4 + (48 - 128*x + 32*x^2)*Log[4] + 8*Log[4]^2))/(-1728*x^3 + 1728*x^4 - 576*x^5 + 64*x^6 + (864*x^2 - 576*x^3 + 96*x^4)*Log[4] + (-144*x + 48*x^2)*Log[4]^2 + 8*Log[4]^3 + E^(3*x)*(-216*x^3 + 216*x^4 - 72*x^5 + 8*x^6 + (108*x^2 - 72*x^3 + 12*x^4)*Log[4] + (-18*x + 6*x^2)*Log[4]^2 + Log[4]^3) + E^(2*x)*(-1296*x^3 + 1296*x^4 - 432*x^5 + 48*x^6 + (648*x^2 - 432*x^3 + 72*x^4)*Log[4] + (-108*x + 36*x^2)*Log[4]^2 + 6*Log[4]^3) + E^x*(-2592*x^3 + 2592*x^4 - 864*x^5 + 96*x^6 + (1296*x^2 - 864*x^3 + 144*x^4)*Log[4] + (-216*x + 72*x^2)*Log[4]^2 + 12*Log[4]^3)),x]","-\frac{e^x \left(-e^x \left(4 x^2-12 x+1+\log (16)\right) \left(2 x^2-6 x+\log (4)\right)^2-4 \left(8 x^6-72 x^5+4 x^4 (54+\log (64))-4 x^3 (54+28 \log (4)-5 \log (16))+2 x^2 \left(5 \log ^2(4)-\log (4) (\log (16)-20)-3 \log (16)+10 \log (256)\right)-2 x \log (4) \log (262144)+\log ^3(4)\right)\right)}{\left(e^x+2\right)^2 \left(2 x^2-6 x+\log (4)\right)^4}","\left(\frac{e^x}{\left(e^x+2\right) (\log (4)-2 (3-x) x)}+1\right)^2",1,"-((E^x*(-(E^x*(-6*x + 2*x^2 + Log[4])^2*(1 - 12*x + 4*x^2 + Log[16])) - 4*(-72*x^5 + 8*x^6 + Log[4]^3 - 4*x^3*(54 + 28*Log[4] - 5*Log[16]) + 4*x^4*(54 + Log[64]) + 2*x^2*(5*Log[4]^2 - Log[4]*(-20 + Log[16]) - 3*Log[16] + 10*Log[256]) - 2*x*Log[4]*Log[262144])))/((2 + E^x)^2*(-6*x + 2*x^2 + Log[4])^4))","B",0
20,1,35,32,2.026086,"\int \frac{e^{2 e^x-x} \left(2-6 x+6 x^2-6 x^3+3 x^4-x^5+e^x \left(-4+12 x-12 x^2+4 x^3-2 x^4+2 x^5\right)\right)}{-6+18 x-18 x^2+6 x^3} \, dx","Integrate[(E^(2*E^x - x)*(2 - 6*x + 6*x^2 - 6*x^3 + 3*x^4 - x^5 + E^x*(-4 + 12*x - 12*x^2 + 4*x^3 - 2*x^4 + 2*x^5)))/(-6 + 18*x - 18*x^2 + 6*x^3),x]","\frac{1}{6} e^{2 e^x-x} \left(x^2+2 x+\frac{4}{x-1}+\frac{1}{(x-1)^2}+5\right)","\frac{1}{3} \left(\frac{1}{2} e^{2 e^x-x} \left(\frac{x^4}{(x-1)^2}+2\right)-2\right)",1,"(E^(2*E^x - x)*(5 + (-1 + x)^(-2) + 4/(-1 + x) + 2*x + x^2))/6","A",1
21,0,0,28,75.5392327,"\int \frac{e^2 \left(100+40 x+4 x^2\right)+e^2 \left(100+40 x+4 x^2\right) \log (x)+\left(20 x^3-4 e^5 x^3\right) \log ^3(x)}{e^2 \left(-25 x-10 x^2-x^3\right) \log (x)+\left(10 x^4+2 x^5+e^5 \left(10 x^3+2 x^4\right)\right) \log ^3(x)} \, dx","Integrate[(E^2*(100 + 40*x + 4*x^2) + E^2*(100 + 40*x + 4*x^2)*Log[x] + (20*x^3 - 4*E^5*x^3)*Log[x]^3)/(E^2*(-25*x - 10*x^2 - x^3)*Log[x] + (10*x^4 + 2*x^5 + E^5*(10*x^3 + 2*x^4))*Log[x]^3),x]","\int \frac{e^2 \left(100+40 x+4 x^2\right)+e^2 \left(100+40 x+4 x^2\right) \log (x)+\left(20 x^3-4 e^5 x^3\right) \log ^3(x)}{e^2 \left(-25 x-10 x^2-x^3\right) \log (x)+\left(10 x^4+2 x^5+e^5 \left(10 x^3+2 x^4\right)\right) \log ^3(x)} \, dx","\log \left(\left(\frac{2 \left(x+e^5\right)}{x+5}-\frac{e^2}{x^2 \log ^2(x)}\right)^2\right)",1,"Integrate[(E^2*(100 + 40*x + 4*x^2) + E^2*(100 + 40*x + 4*x^2)*Log[x] + (20*x^3 - 4*E^5*x^3)*Log[x]^3)/(E^2*(-25*x - 10*x^2 - x^3)*Log[x] + (10*x^4 + 2*x^5 + E^5*(10*x^3 + 2*x^4))*Log[x]^3), x]","F",-1
22,1,17,16,0.0034576,"\int \left(1+5 e^x+6 x-3 x^2\right) \, dx","Integrate[1 + 5*E^x + 6*x - 3*x^2,x]","-x^3+3 x^2+x+5 e^x","-\left((x-3) x^2\right)+x+5 e^x-2",1,"5*E^x + x + 3*x^2 - x^3","A",1
23,1,20,23,4.391579,"\int \frac{-20 e^{2+\frac{5}{-2+e^2 x^4}} x^4+\left(-4+4 e^2 x^4-e^4 x^8+e^{\frac{5}{-2+e^2 x^4}} \left(4-4 e^2 x^4+e^4 x^8\right)\right) \log \left(-1+e^{\frac{5}{-2+e^2 x^4}}\right)}{-4+4 e^2 x^4-e^4 x^8+e^{\frac{5}{-2+e^2 x^4}} \left(4-4 e^2 x^4+e^4 x^8\right)} \, dx","Integrate[(-20*E^(2 + 5/(-2 + E^2*x^4))*x^4 + (-4 + 4*E^2*x^4 - E^4*x^8 + E^(5/(-2 + E^2*x^4))*(4 - 4*E^2*x^4 + E^4*x^8))*Log[-1 + E^(5/(-2 + E^2*x^4))])/(-4 + 4*E^2*x^4 - E^4*x^8 + E^(5/(-2 + E^2*x^4))*(4 - 4*E^2*x^4 + E^4*x^8)),x]","x \log \left(e^{\frac{5}{e^2 x^4-2}}-1\right)","x \log \left(e^{\frac{5 x}{e^2 x^5-2 x}}-1\right)",1,"x*Log[-1 + E^(5/(-2 + E^2*x^4))]","A",1
24,1,43,27,0.1057071,"\int \frac{e^{\frac{2 x^2-x^6+x^2 \log (x)}{2+5 x+2 x^2}} \left(10 x+15 x^2+2 x^3-12 x^5-25 x^6-8 x^7+\left(4 x+5 x^2\right) \log (x)\right)}{4+20 x+33 x^2+20 x^3+4 x^4} \, dx","Integrate[(E^((2*x^2 - x^6 + x^2*Log[x])/(2 + 5*x + 2*x^2))*(10*x + 15*x^2 + 2*x^3 - 12*x^5 - 25*x^6 - 8*x^7 + (4*x + 5*x^2)*Log[x]))/(4 + 20*x + 33*x^2 + 20*x^3 + 4*x^4),x]","e^{-\frac{x^2 \left(x^4-2\right)}{2 x^2+5 x+2}} x^{\frac{x^2}{2 x^2+5 x+2}}","e^{\frac{x \left(-x^4+\log (x)+2\right)}{2 x+\frac{x+2}{x}+4}}",1,"x^(x^2/(2 + 5*x + 2*x^2))/E^((x^2*(-2 + x^4))/(2 + 5*x + 2*x^2))","A",1
25,1,19,22,0.0756665,"\int \frac{108}{\left(-160-68 x+11 x^2\right) \log \left(\frac{e^{e^4} (80-10 x)}{20+11 x}\right)} \, dx","Integrate[108/((-160 - 68*x + 11*x^2)*Log[(E^E^4*(80 - 10*x))/(20 + 11*x)]),x]","\log \left(\log \left(-\frac{10 e^{e^4} (x-8)}{11 x+20}\right)\right)","\log \left(\log \left(\frac{e^{e^4} (8-x)}{\frac{11 x}{10}+2}\right)\right)",1,"Log[Log[(-10*E^E^4*(-8 + x))/(20 + 11*x)]]","A",1
26,1,15,20,0.0000687,"\int -\frac{50 x^4}{-10-e+e^2} \, dx","Integrate[(-50*x^4)/(-10 - E + E^2),x]","-\frac{10 x^5}{-10-e+e^2}","\frac{2 x^5}{2+\frac{1}{5} \left(e-e^2\right)}",1,"(-10*x^5)/(-10 - E + E^2)","A",1
27,1,51,20,0.1653563,"\int \left(12+e^{2 \left(x-4 x^2\right)} (2-16 x)+50 x+12 x^2+16 x^3+e^{x-4 x^2} \left(14-86 x-12 x^2-32 x^3\right)\right) \, dx","Integrate[12 + E^(2*(x - 4*x^2))*(2 - 16*x) + 50*x + 12*x^2 + 16*x^3 + E^(x - 4*x^2)*(14 - 86*x - 12*x^2 - 32*x^3),x]","4 x^4+4 x^3+25 x^2+e^{2 x-8 x^2}-2 e^{x-4 x^2} \left(-2 x^2-x-6\right)+12 x","\left(e^{x-4 x^2}+2 \left(x^2+3\right)+x\right)^2",1,"E^(2*x - 8*x^2) + 12*x + 25*x^2 + 4*x^3 + 4*x^4 - 2*E^(x - 4*x^2)*(-6 - x - 2*x^2)","B",1
28,1,11,12,0.0017066,"\int \frac{5-x+x^2}{x^2} \, dx","Integrate[(5 - x + x^2)/x^2,x]","x-\frac{5}{x}-\log (x)","x-\frac{5}{x}-\log (x)+3",1,"-5/x + x - Log[x]","A",1
29,1,15,16,0.2108494,"\int \frac{3+x+5 x^2+\left(30 x+10 x^2\right) \log (6+2 x)}{3 x+x^2+\left(15 x^2+5 x^3\right) \log (6+2 x)} \, dx","Integrate[(3 + x + 5*x^2 + (30*x + 10*x^2)*Log[6 + 2*x])/(3*x + x^2 + (15*x^2 + 5*x^3)*Log[6 + 2*x]),x]","\log (x)+\log (5 x \log (2 (x+3))+1)","\log \left(-15 x^2 \log (2 (x+3))-3 x\right)",1,"Log[x] + Log[1 + 5*x*Log[2*(3 + x)]]","A",1
30,1,15,19,0.0873085,"\int \frac{1+2 x+\left(1+x+2 x^2+2 x^3\right) \log \left(\left(x+x^2\right) \log (4)\right)}{\left(x+x^2\right) \log \left(\left(x+x^2\right) \log (4)\right)} \, dx","Integrate[(1 + 2*x + (1 + x + 2*x^2 + 2*x^3)*Log[(x + x^2)*Log[4]])/((x + x^2)*Log[(x + x^2)*Log[4]]),x]","x^2+\log (x)+\log (\log (x (x+1) \log (4)))","\log \left(\frac{1}{40} e^{x^2} x \log (x (x+1) \log (4))\right)",1,"x^2 + Log[x] + Log[Log[x*(1 + x)*Log[4]]]","A",1
31,1,19,19,0.0835513,"\int \frac{-18+3 x^3+2 e^x x^2 \log (5 x)+e^x x^3 \log ^2(5 x)}{x^3} \, dx","Integrate[(-18 + 3*x^3 + 2*E^x*x^2*Log[5*x] + E^x*x^3*Log[5*x]^2)/x^3,x]","\frac{9}{x^2}+3 x+e^x \log ^2(5 x)","\frac{9}{x^2}+3 x+e^x \log ^2(5 x)",1,"9/x^2 + 3*x + E^x*Log[5*x]^2","A",1
32,1,21,19,0.4294237,"\int e^{10 x^2+x^3-e^{x^2} x^4} \left(20 x+3 x^2+e^{x^2} \left(-4 x^3-2 x^5\right)\right) \, dx","Integrate[E^(10*x^2 + x^3 - E^x^2*x^4)*(20*x + 3*x^2 + E^x^2*(-4*x^3 - 2*x^5)),x]","e^{x^3+10 x^2-e^{x^2} x^4}","e^{x^2 \left(-e^{x^2} x^2+x+10\right)}",1,"E^(10*x^2 + x^3 - E^x^2*x^4)","A",1
33,1,26,22,1.0491395,"\int \frac{\exp \left(\frac{-x^2+6 x^3+6 x^4+x^5}{-9+6 x+6 x^2+x^3}\right) \left(18 x-168 x^2-144 x^3+100 x^4+96 x^5+24 x^6+2 x^7\right)}{81-108 x-72 x^2+54 x^3+48 x^4+12 x^5+x^6} \, dx","Integrate[(E^((-x^2 + 6*x^3 + 6*x^4 + x^5)/(-9 + 6*x + 6*x^2 + x^3))*(18*x - 168*x^2 - 144*x^3 + 100*x^4 + 96*x^5 + 24*x^6 + 2*x^7))/(81 - 108*x - 72*x^2 + 54*x^3 + 48*x^4 + 12*x^5 + x^6),x]","e^{x^2+\frac{8 x^2}{x^3+6 x^2+6 x-9}}","e^{x \left(x+\frac{8}{(x+3)^2-\frac{9}{x}-3}\right)}",1,"E^(x^2 + (8*x^2)/(-9 + 6*x + 6*x^2 + x^3))","A",1
34,1,17,20,0.1894318,"\int \frac{e^{e^{-\frac{2 x^2}{-2+6 x}}-\frac{2 x^2}{-2+6 x}} \left(-2 x+3 x^2\right)}{1-6 x+9 x^2} \, dx","Integrate[(E^(E^((-2*x^2)/(-2 + 6*x)) - (2*x^2)/(-2 + 6*x))*(-2*x + 3*x^2))/(1 - 6*x + 9*x^2),x]","-e^{e^{\frac{x^2}{1-3 x}}}","3-e^{e^{\frac{2 x}{\frac{2}{x}-6}}}",1,"-E^E^(x^2/(1 - 3*x))","A",1
35,1,18,18,0.0226968,"\int \left(2 x+e^x \left(-91-95 x-2 x^2\right)\right) \, dx","Integrate[2*x + E^x*(-91 - 95*x - 2*x^2),x]","x^2-e^x \left(2 x^2+91 x\right)","x \left(x-e^x (2 (x+5)+81)\right)+e",1,"x^2 - E^x*(91*x + 2*x^2)","A",1
36,1,30,25,0.1175354,"\int 9765625 e^{22 x-64 x^2+48 x^3-16 x^4+2 x^5} x^9 \left(5+11 x-64 x^2+72 x^3-32 x^4+5 x^5\right) \, dx","Integrate[9765625*E^(22*x - 64*x^2 + 48*x^3 - 16*x^4 + 2*x^5)*x^9*(5 + 11*x - 64*x^2 + 72*x^3 - 32*x^4 + 5*x^5),x]","\frac{9765625}{2} e^{2 x \left(x^4-8 x^3+24 x^2-32 x+11\right)} x^{10}","\frac{1}{2} e^{2 x (x-2)^4+10 (\log (5 x)-x)}",1,"(9765625*E^(2*x*(11 - 32*x + 24*x^2 - 8*x^3 + x^4))*x^10)/2","A",1
37,1,32,21,0.0647706,"\int \frac{-20 x+364 x^2-288 x^4+72 x^6-6 x^8+\left(-20-20 x-576 x^3+288 x^5-36 x^7\right) \log (x)+\left(-288 x^2+432 x^4-90 x^6\right) \log ^2(x)+\left(288 x^3-120 x^5\right) \log ^3(x)+\left(72 x^2-90 x^4\right) \log ^4(x)-36 x^3 \log ^5(x)-6 x^2 \log ^6(x)}{-192 x+144 x^3-36 x^5+3 x^7+\left(288 x^2-144 x^4+18 x^6\right) \log (x)+\left(144 x-216 x^3+45 x^5\right) \log ^2(x)+\left(-144 x^2+60 x^4\right) \log ^3(x)+\left(-36 x+45 x^3\right) \log ^4(x)+18 x^2 \log ^5(x)+3 x \log ^6(x)} \, dx","Integrate[(-20*x + 364*x^2 - 288*x^4 + 72*x^6 - 6*x^8 + (-20 - 20*x - 576*x^3 + 288*x^5 - 36*x^7)*Log[x] + (-288*x^2 + 432*x^4 - 90*x^6)*Log[x]^2 + (288*x^3 - 120*x^5)*Log[x]^3 + (72*x^2 - 90*x^4)*Log[x]^4 - 36*x^3*Log[x]^5 - 6*x^2*Log[x]^6)/(-192*x + 144*x^3 - 36*x^5 + 3*x^7 + (288*x^2 - 144*x^4 + 18*x^6)*Log[x] + (144*x - 216*x^3 + 45*x^5)*Log[x]^2 + (-144*x^2 + 60*x^4)*Log[x]^3 + (-36*x + 45*x^3)*Log[x]^4 + 18*x^2*Log[x]^5 + 3*x*Log[x]^6),x]","-\frac{2}{3} \left(\frac{3 x^2}{2}-\frac{5}{2 \left(x^2+\log ^2(x)+2 x \log (x)-4\right)^2}\right)","-x^2+\frac{5}{3 \left((x+\log (x))^2-4\right)^2}+2",1,"(-2*((3*x^2)/2 - 5/(2*(-4 + x^2 + 2*x*Log[x] + Log[x]^2)^2)))/3","A",1
38,1,187,33,0.6832797,"\int \frac{-x^3 \log (x)+8 e^{e^x+x} x^3 \log (x)+8 e^{2 e^x+x} x^3 \log (x)+\left(x^2-x^3+\left(-2 x^2+2 x^3\right) \log (x)+e^{e^x} \left(8 x^2-16 x^2 \log (x)\right)+e^{2 e^x} \left(4 x^2-8 x^2 \log (x)\right)\right) \log \left(\frac{1}{4} \left(-1-8 e^{e^x}-4 e^{2 e^x}+x\right)\right)+\left(2+16 e^{e^x}+8 e^{2 e^x}-2 x\right) \log ^2\left(\frac{1}{4} \left(-1-8 e^{e^x}-4 e^{2 e^x}+x\right)\right)}{x^5+8 e^{e^x} x^5+4 e^{2 e^x} x^5-x^6+\left(4 x^3+32 e^{e^x} x^3+16 e^{2 e^x} x^3-4 x^4\right) \log \left(\frac{1}{4} \left(-1-8 e^{e^x}-4 e^{2 e^x}+x\right)\right)+\left(4 x+32 e^{e^x} x+16 e^{2 e^x} x-4 x^2\right) \log ^2\left(\frac{1}{4} \left(-1-8 e^{e^x}-4 e^{2 e^x}+x\right)\right)} \, dx","Integrate[(-(x^3*Log[x]) + 8*E^(E^x + x)*x^3*Log[x] + 8*E^(2*E^x + x)*x^3*Log[x] + (x^2 - x^3 + (-2*x^2 + 2*x^3)*Log[x] + E^E^x*(8*x^2 - 16*x^2*Log[x]) + E^(2*E^x)*(4*x^2 - 8*x^2*Log[x]))*Log[(-1 - 8*E^E^x - 4*E^(2*E^x) + x)/4] + (2 + 16*E^E^x + 8*E^(2*E^x) - 2*x)*Log[(-1 - 8*E^E^x - 4*E^(2*E^x) + x)/4]^2)/(x^5 + 8*E^E^x*x^5 + 4*E^(2*E^x)*x^5 - x^6 + (4*x^3 + 32*E^E^x*x^3 + 16*E^(2*E^x)*x^3 - 4*x^4)*Log[(-1 - 8*E^E^x - 4*E^(2*E^x) + x)/4] + (4*x + 32*E^E^x*x + 16*E^(2*E^x)*x - 4*x^2)*Log[(-1 - 8*E^E^x - 4*E^(2*E^x) + x)/4]^2),x]","\frac{\log (x) \left(2 \left(-x^2+8 e^{e^x} x+4 e^{2 e^x} x+8 e^{x+e^x}+8 e^{x+2 e^x}\right) \log \left(\frac{1}{4} \left(x-8 e^{e^x}-4 e^{2 e^x}-1\right)\right)-(x-1) \left(\log (16)-2 \log \left(x-8 e^{e^x}-4 e^{2 e^x}-1\right)\right)\right)}{2 \left(-x^2+8 e^{e^x} x+4 e^{2 e^x} x+x+8 e^{x+e^x}+8 e^{x+2 e^x}-1\right) \left(x^2+2 \log \left(\frac{1}{4} \left(x-8 e^{e^x}-4 e^{2 e^x}-1\right)\right)\right)}","\frac{\log (x)}{\frac{x^2}{\log \left(\frac{x+3}{4}-\left(e^{e^x}+1\right)^2\right)}+2}",1,"(Log[x]*(2*(8*E^(E^x + x) + 8*E^(2*E^x + x) + 8*E^E^x*x + 4*E^(2*E^x)*x - x^2)*Log[(-1 - 8*E^E^x - 4*E^(2*E^x) + x)/4] - (-1 + x)*(Log[16] - 2*Log[-1 - 8*E^E^x - 4*E^(2*E^x) + x])))/(2*(-1 + 8*E^(E^x + x) + 8*E^(2*E^x + x) + x + 8*E^E^x*x + 4*E^(2*E^x)*x - x^2)*(x^2 + 2*Log[(-1 - 8*E^E^x - 4*E^(2*E^x) + x)/4]))","B",1
39,1,26,29,0.1338717,"\int \frac{25 x-1249 x^2-99 x^3-102 x^4-4 x^5-2 x^6+e^{3 x} \left(625 x+50 x^2+51 x^3+2 x^4+x^5\right)+e^{2 x} \left(-1250-100 x+1148 x^2+96 x^3+100 x^4+4 x^5+2 x^6\right)+e^x \left(25-2499 x-199 x^2+421 x^3+42 x^4+47 x^5+2 x^6+x^7\right)+\left(-25 x-2 x^2-3 x^3+e^x \left(-26 x-3 x^2-x^3\right)\right) \log (x)}{625 x^3+50 x^4+51 x^5+2 x^6+x^7+e^{2 x} \left(625 x+50 x^2+51 x^3+2 x^4+x^5\right)+e^x \left(1250 x^2+100 x^3+102 x^4+4 x^5+2 x^6\right)} \, dx","Integrate[(25*x - 1249*x^2 - 99*x^3 - 102*x^4 - 4*x^5 - 2*x^6 + E^(3*x)*(625*x + 50*x^2 + 51*x^3 + 2*x^4 + x^5) + E^(2*x)*(-1250 - 100*x + 1148*x^2 + 96*x^3 + 100*x^4 + 4*x^5 + 2*x^6) + E^x*(25 - 2499*x - 199*x^2 + 421*x^3 + 42*x^4 + 47*x^5 + 2*x^6 + x^7) + (-25*x - 2*x^2 - 3*x^3 + E^x*(-26*x - 3*x^2 - x^3))*Log[x])/(625*x^3 + 50*x^4 + 51*x^5 + 2*x^6 + x^7 + E^(2*x)*(625*x + 50*x^2 + 51*x^3 + 2*x^4 + x^5) + E^x*(1250*x^2 + 100*x^3 + 102*x^4 + 4*x^5 + 2*x^6)),x]","\frac{\log (x)}{\left(x+e^x\right) \left(x^2+x+25\right)}+e^x-2 \log (x)","\frac{\log (x)}{\left(x+e^x\right) \left(x^2+x+25\right)}-\log \left(x^2\right)+e^x+5",1,"E^x - 2*Log[x] + Log[x]/((E^x + x)*(25 + x + x^2))","A",1
40,1,19,21,0.129569,"\int \frac{-92 x^2-92 x \log (x)+(575+92 x+(-575-92 x) \log (x)) \log (25+4 x)}{\left(100 x^2+16 x^3\right) \log ^2(25+4 x)} \, dx","Integrate[(-92*x^2 - 92*x*Log[x] + (575 + 92*x + (-575 - 92*x)*Log[x])*Log[25 + 4*x])/((100*x^2 + 16*x^3)*Log[25 + 4*x]^2),x]","\frac{23 (x+\log (x))}{4 x \log (4 x+25)}","\frac{23 (x+\log (x))}{4 x \log (4 (x+5)+5)}",1,"(23*(x + Log[x]))/(4*x*Log[25 + 4*x])","A",1
41,1,25,28,0.3857606,"\int \frac{e^{-e^2-e^3-\frac{1}{4} e^{-e^2-e^3} x} \left(4 e^{e^2+e^3}+\left(-4 e^{e^2+e^3}-x\right) \log (5 x)\right)}{4 x^2} \, dx","Integrate[(E^(-E^2 - E^3 - (E^(-E^2 - E^3)*x)/4)*(4*E^(E^2 + E^3) + (-4*E^(E^2 + E^3) - x)*Log[5*x]))/(4*x^2),x]","\frac{e^{-\frac{1}{4} e^{-e^2 (1+e)} x} \log (5 x)}{x}","\frac{e^{-\frac{1}{4} e^{-e^2-e^3} x} \log (5 x)}{x}",1,"Log[5*x]/(E^(x/(4*E^(E^2*(1 + E))))*x)","A",1
42,1,18,18,0.4441473,"\int \exp \left(-17+e^{\frac{6 x+e^{17} \left(-5+4 x+x^2\right)}{e^{17}}}+\frac{6 x+e^{17} \left(-5+4 x+x^2\right)}{e^{17}}\right) \left(6+e^{17} (4+2 x)\right) \, dx","Integrate[E^(-17 + E^((6*x + E^17*(-5 + 4*x + x^2))/E^17) + (6*x + E^17*(-5 + 4*x + x^2))/E^17)*(6 + E^17*(4 + 2*x)),x]","e^{e^{x^2+\frac{6 x}{e^{17}}+4 x-5}}","e^{e^{x \left(x+\frac{6}{e^{17}}+4\right)-5}}+5",1,"E^E^(-5 + 4*x + (6*x)/E^17 + x^2)","A",1
43,1,9,9,0.0085314,"\int 90 e^{9 e^{10 x}+10 x} \, dx","Integrate[90*E^(9*E^(10*x) + 10*x),x]","e^{9 e^{10 x}}","e^{9 e^{10 x}}",1,"E^(9*E^(10*x))","A",1
44,1,19,26,0.0542898,"\int \frac{-5+7 x+8 x^2-4 x^3+\left(-6-2 x+8 x^2-8 x^3\right) \log (x)}{1-4 x+4 x^2} \, dx","Integrate[(-5 + 7*x + 8*x^2 - 4*x^3 + (-6 - 2*x + 8*x^2 - 8*x^3)*Log[x])/(1 - 4*x + 4*x^2),x]","x+\left(\frac{6}{2 x-1}-x\right) x \log (x)","x+\left(\frac{2}{\frac{1}{3} (-x-1)+x}-x\right) x \log (x)+2",1,"x + x*(-x + 6/(-1 + 2*x))*Log[x]","A",1
45,1,21,32,0.0617959,"\int \frac{-6 x^2-2 x^3+\left(-12-10 x+8 x^2\right) \log (2-x)}{\left(-6 x^2+x^3+x^4\right) \log (2-x)} \, dx","Integrate[(-6*x^2 - 2*x^3 + (-12 - 10*x + 8*x^2)*Log[2 - x])/((-6*x^2 + x^3 + x^4)*Log[2 - x]),x]","-2 \left(\frac{1}{x}-\log (x)+\log (x+3)+\log (\log (2-x))\right)","3-\log \left(\frac{e^{2/x} (x+3)^2 \log ^2(2-x)}{4 x^2}\right)",1,"-2*(x^(-1) - Log[x] + Log[3 + x] + Log[Log[2 - x]])","A",1
46,1,22,19,0.0042189,"\int \frac{34-2 e^{4/3}+2 \log (2)}{1+4 x+4 x^2} \, dx","Integrate[(34 - 2*E^(4/3) + 2*Log[2])/(1 + 4*x + 4*x^2),x]","-\frac{34-2 e^{4/3}+\log (4)}{2 (2 x+1)}","\frac{-17+e^{4/3}-\log (2)}{2 x+1}",1,"-1/2*(34 - 2*E^(4/3) + Log[4])/(1 + 2*x)","A",1
47,1,18,23,0.0832376,"\int \frac{20-4 x-27 x^2+8 x^3+\left(4-7 x^2+2 x^3\right) \log (x)}{16 x-16 x^2+4 x^3+\left(4 x-4 x^2+x^3\right) \log (x)} \, dx","Integrate[(20 - 4*x - 27*x^2 + 8*x^3 + (4 - 7*x^2 + 2*x^3)*Log[x])/(16*x - 16*x^2 + 4*x^3 + (4*x - 4*x^2 + x^3)*Log[x]),x]","2 x+\frac{4}{x-2}+\log (x)+\log (\log (x)+4)","2 x+\frac{4}{x-2}+\log (2 (x-x (\log (x)+5)))",1,"4/(-2 + x) + 2*x + Log[x] + Log[4 + Log[x]]","A",1
48,1,23,25,0.0391655,"\int \frac{15-15 e^4-20 e x+e^{x^2} \left(-3-6 x^2+e^4 \left(3+6 x^2\right)+e \left(4 x+4 x^3\right)\right)}{e} \, dx","Integrate[(15 - 15*E^4 - 20*E*x + E^x^2*(-3 - 6*x^2 + E^4*(3 + 6*x^2) + E*(4*x + 4*x^3)))/E,x]","\frac{\left(e^{x^2}-5\right) x \left(2 e x+3 e^4-3\right)}{e}","\left(5-e^{x^2}\right) x \left(x-3 \left(x+e^3-\frac{1}{e}\right)\right)",1,"((-5 + E^x^2)*x*(-3 + 3*E^4 + 2*E*x))/E","A",1
49,1,34,34,0.1641099,"\int \frac{-2 e^{e^{x-x^2}}+e^{x-x^2} \left(-5 x+10 x^2\right)+e^{e^{x-x^2}} \log \left(\frac{2 e^{-5 e^{-e^{x-x^2}}} x^2}{\log (\log (2))}\right)}{e^{e^{x-x^2}} x^2+2 e^{e^{x-x^2}} x \log \left(\frac{2 e^{-5 e^{-e^{x-x^2}}} x^2}{\log (\log (2))}\right)+e^{e^{x-x^2}} \log ^2\left(\frac{2 e^{-5 e^{-e^{x-x^2}}} x^2}{\log (\log (2))}\right)} \, dx","Integrate[(-2*E^E^(x - x^2) + E^(x - x^2)*(-5*x + 10*x^2) + E^E^(x - x^2)*Log[(2*x^2)/(E^(5/E^E^(x - x^2))*Log[Log[2]])])/(E^E^(x - x^2)*x^2 + 2*E^E^(x - x^2)*x*Log[(2*x^2)/(E^(5/E^E^(x - x^2))*Log[Log[2]])] + E^E^(x - x^2)*Log[(2*x^2)/(E^(5/E^E^(x - x^2))*Log[Log[2]])]^2),x]","\frac{x}{\log \left(\frac{2 e^{-5 e^{-e^{x-x^2}}} x^2}{\log (\log (2))}\right)+x}","\frac{x}{\log \left(\frac{2 e^{-5 e^{-e^{x-x^2}}} x^2}{\log (\log (2))}\right)+x}",1,"x/(x + Log[(2*x^2)/(E^(5/E^E^(x - x^2))*Log[Log[2]])])","A",1
50,1,34,19,0.008402,"\int \left(36+720 x^4+405 e^6 x^4-432 x^5+63 x^6+e^3 \left(-1080 x^4+324 x^5\right)\right) \, dx","Integrate[36 + 720*x^4 + 405*E^6*x^4 - 432*x^5 + 63*x^6 + E^3*(-1080*x^4 + 324*x^5),x]","9 \left(x^7+2 \left(3 e^3-4\right) x^6+\left(3 e^3-4\right)^2 x^5+4 x\right)","9 x \left(\left(x+3 e^3-4\right)^2 x^4+4\right)",1,"9*(4*x + (-4 + 3*E^3)^2*x^5 + 2*(-4 + 3*E^3)*x^6 + x^7)","A",1
51,1,25,17,0.2132758,"\int \frac{e^{-1+x} (15625-15625 x)+\left(-31250 e^{-1+x}-31250 x\right) \log \left(\frac{x}{e^{-1+x}+x}\right)}{e^{-1+x} x^3+x^4} \, dx","Integrate[(E^(-1 + x)*(15625 - 15625*x) + (-31250*E^(-1 + x) - 31250*x)*Log[x/(E^(-1 + x) + x)])/(E^(-1 + x)*x^3 + x^4),x]","-15625 \left(-\frac{1}{x^2}-\frac{\log \left(\frac{x}{e x+e^x}\right)}{x^2}\right)","\frac{15625 \log \left(\frac{x}{x+e^{x-1}}\right)}{x^2}",1,"-15625*(-x^(-2) - Log[x/(E^x + E*x)]/x^2)","A",1
52,1,28,22,0.0060152,"\int \frac{-160 x^2-240 x^3 \log (5)+\left(2-80 x^4\right) \log ^2(5)}{x \log ^2(5)} \, dx","Integrate[(-160*x^2 - 240*x^3*Log[5] + (2 - 80*x^4)*Log[5]^2)/(x*Log[5]^2),x]","-20 x^4-\frac{80 x^3}{\log (5)}-\frac{80 x^2}{\log ^2(5)}+2 \log (x)","\log \left(x^2 e^{-20 x^2 \left(x+\frac{2}{\log (5)}\right)^2}\right)",1,"-20*x^4 - (80*x^2)/Log[5]^2 - (80*x^3)/Log[5] + 2*Log[x]","A",1
53,1,20,24,0.0729412,"\int \frac{e^3 (-16-4 x)+\left(-4 e^3 x+35 \log (3)\right) \log \left(\frac{-4 e^3 x+35 \log (3)}{\log (3)}\right) \log \left(\log \left(\frac{-4 e^3 x+35 \log (3)}{\log (3)}\right)\right)}{\left(e^3 \left(-16 x-4 x^2\right)+(140+35 x) \log (3)\right) \log \left(\frac{-4 e^3 x+35 \log (3)}{\log (3)}\right) \log \left(\log \left(\frac{-4 e^3 x+35 \log (3)}{\log (3)}\right)\right)} \, dx","Integrate[(E^3*(-16 - 4*x) + (-4*E^3*x + 35*Log[3])*Log[(-4*E^3*x + 35*Log[3])/Log[3]]*Log[Log[(-4*E^3*x + 35*Log[3])/Log[3]]])/((E^3*(-16*x - 4*x^2) + (140 + 35*x)*Log[3])*Log[(-4*E^3*x + 35*Log[3])/Log[3]]*Log[Log[(-4*E^3*x + 35*Log[3])/Log[3]]]),x]","\log (x+4)+\log \left(\log \left(\log \left(35-\frac{4 e^3 x}{\log (3)}\right)\right)\right)","\log (x+4)+\log \left(\log \left(\log \left(25-2 \left(\frac{2 e^3 x}{\log (3)}-5\right)\right)\right)\right)",1,"Log[4 + x] + Log[Log[Log[35 - (4*E^3*x)/Log[3]]]]","A",1
54,1,22,30,0.1433867,"\int \frac{5+e^{2 e^{2 x} \left(1-e^3\right)+2 x-2 e^3 x} \left(2-2 e^3+e^{2 x} \left(4-4 e^3\right)\right)}{-9+e^{2 e^{2 x} \left(1-e^3\right)+2 x-2 e^3 x}+5 x} \, dx","Integrate[(5 + E^(2*E^(2*x)*(1 - E^3) + 2*x - 2*E^3*x)*(2 - 2*E^3 + E^(2*x)*(4 - 4*E^3)))/(-9 + E^(2*E^(2*x)*(1 - E^3) + 2*x - 2*E^3*x) + 5*x),x]","\log \left(5 x+e^{-2 \left(e^3-1\right) \left(x+e^{2 x}\right)}-9\right)","\log \left(5 (1-x)-e^{2 \left(1-e^3\right) \left(x+e^{2 x}\right)}+4\right)",1,"Log[-9 + E^(-2*(-1 + E^3)*(E^(2*x) + x)) + 5*x]","A",1
55,1,42,27,0.0704397,"\int \frac{90-60 e^3+10 e^6-10 x+(-2+10 x) \log \left(\frac{1}{5} (-1+5 x)\right)+(-1+5 x) \log ^2\left(\frac{1}{5} (-1+5 x)\right)}{(-1+5 x) \log ^2\left(\frac{1}{5} (-1+5 x)\right)} \, dx","Integrate[(90 - 60*E^3 + 10*E^6 - 10*x + (-2 + 10*x)*Log[(-1 + 5*x)/5] + (-1 + 5*x)*Log[(-1 + 5*x)/5]^2)/((-1 + 5*x)*Log[(-1 + 5*x)/5]^2),x]","-2 \text{Ei}\left(\log \left(x-\frac{1}{5}\right)\right)+2 \text{li}\left(x-\frac{1}{5}\right)+x+\frac{2 \left(x-e^6+6 e^3-9\right)}{\log \left(x-\frac{1}{5}\right)}","x+\frac{2 \left(x-\left(e^3-3\right)^2-2\right)+4}{\log \left(x-\frac{1}{5}\right)}",1,"x - 2*ExpIntegralEi[Log[-1/5 + x]] + (2*(-9 + 6*E^3 - E^6 + x))/Log[-1/5 + x] + 2*LogIntegral[-1/5 + x]","C",1
56,1,21,20,0.368313,"\int \frac{e^x \left(1+4 \log (2)+6 \log ^2(2)+4 \log ^3(2)+\log ^4(2)\right)+128 x^7 \log ^8(4)}{e^x \left(1+4 \log (2)+6 \log ^2(2)+4 \log ^3(2)+\log ^4(2)\right)+16 x^8 \log ^8(4)} \, dx","Integrate[(E^x*(1 + 4*Log[2] + 6*Log[2]^2 + 4*Log[2]^3 + Log[2]^4) + 128*x^7*Log[4]^8)/(E^x*(1 + 4*Log[2] + 6*Log[2]^2 + 4*Log[2]^3 + Log[2]^4) + 16*x^8*Log[4]^8),x]","\log \left(16 x^8 \log ^8(4)+e^x (1+\log (2))^4\right)","\log \left(\frac{16 x^8 \log ^8(4)}{(1+\log (2))^4}+e^x\right)",1,"Log[E^x*(1 + Log[2])^4 + 16*x^8*Log[4]^8]","A",1
57,1,70,28,0.1847755,"\int \frac{-3 x^2-6 x^3-3 x^4-2 x^3 \log (2)+\left(-3+6 x+13 x^2+6 x^3+4 x^2 \log (2)\right) \log (4)+\left(-3-8 x-3 x^2-2 x \log (2)\right) \log ^2(4)+e^x \left(3 x^2+2 x^3+x^4+\left(-6 x-4 x^2-2 x^3\right) \log (4)+\left(3+2 x+x^2\right) \log ^2(4)\right)}{x^2-2 x \log (4)+\log ^2(4)} \, dx","Integrate[(-3*x^2 - 6*x^3 - 3*x^4 - 2*x^3*Log[2] + (-3 + 6*x + 13*x^2 + 6*x^3 + 4*x^2*Log[2])*Log[4] + (-3 - 8*x - 3*x^2 - 2*x*Log[2])*Log[4]^2 + E^x*(3*x^2 + 2*x^3 + x^4 + (-6*x - 4*x^2 - 2*x^3)*Log[4] + (3 + 2*x + x^2)*Log[4]^2))/(x^2 - 2*x*Log[4] + Log[4]^2),x]","-x^3+e^x \left(x^2+3\right)-\frac{1}{2} x^2 (6+\log (4))+x \left(-3-2 \log ^2(4)+\log (4) (1+\log (16))\right)+\frac{-2 \log ^4(4)+\log ^3(4) (1+\log (16))+\log (64)}{x-\log (4)}","\left(x^2+3\right) \left(-x+e^x+\frac{x}{x-\log (4)}-4-\log (2)\right)",1,"-x^3 + E^x*(3 + x^2) - (x^2*(6 + Log[4]))/2 + x*(-3 - 2*Log[4]^2 + Log[4]*(1 + Log[16])) + (-2*Log[4]^4 + Log[4]^3*(1 + Log[16]) + Log[64])/(x - Log[4])","B",0
58,1,18,19,0.3957654,"\int \frac{-270 x^2-54 e^x x^2+\left(405 x^2+e^x \left(81 x^2-27 x^3\right)\right) \log (x)+\left(25+10 e^x+e^{2 x}\right) \log ^3(x)}{\left(25+10 e^x+e^{2 x}\right) \log ^3(x)} \, dx","Integrate[(-270*x^2 - 54*E^x*x^2 + (405*x^2 + E^x*(81*x^2 - 27*x^3))*Log[x] + (25 + 10*E^x + E^(2*x))*Log[x]^3)/((25 + 10*E^x + E^(2*x))*Log[x]^3),x]","\frac{27 x^3}{\left(e^x+5\right) \log ^2(x)}+x","\frac{27 x^3}{\left(e^x+5\right) \log ^2(x)}+x-1",1,"x + (27*x^3)/((5 + E^x)*Log[x]^2)","A",1
59,1,29,26,0.0164508,"\int \frac{-48-40 x^2+96 x^4-40 x^6+14 x^8}{24 x+x^2-20 x^3+16 x^5-4 x^7+x^9} \, dx","Integrate[(-48 - 40*x^2 + 96*x^4 - 40*x^6 + 14*x^8)/(24*x + x^2 - 20*x^3 + 16*x^5 - 4*x^7 + x^9),x]","2 \left(\log \left(x^8-4 x^6+16 x^4-20 x^2+x+24\right)-\log (x)\right)","\log \left(\frac{\left(4 x^2+\left(\left(x^2-1\right)^2+5\right)^2+x-12\right)^2}{x^2}\right)",1,"2*(-Log[x] + Log[24 + x - 20*x^2 + 16*x^4 - 4*x^6 + x^8])","A",1
60,1,18,24,0.1977837,"\int \frac{2 x-12 e x^2-12 x^3+(-3 e-3 x) \log \left(e^2+2 e x+x^2\right)}{12 e x^3+12 x^4+\left(e x+x^2\right) \log \left(e^2+2 e x+x^2\right)} \, dx","Integrate[(2*x - 12*E*x^2 - 12*x^3 + (-3*E - 3*x)*Log[E^2 + 2*E*x + x^2])/(12*E*x^3 + 12*x^4 + (E*x + x^2)*Log[E^2 + 2*E*x + x^2]),x]","\log \left(12 x^2+\log \left((x+e)^2\right)\right)-3 \log (x)","\log \left(\frac{\log (5) \left(\frac{\log \left((x+e)^2\right)}{4 x^2}+3\right)}{x}\right)-4",1,"-3*Log[x] + Log[12*x^2 + Log[(E + x)^2]]","A",1
61,1,58,35,0.0246814,"\int \frac{1}{81} \left(-9720-81 e^x+e (3240-900 x)+e^5 (3240-900 x)+15660 x-5400 x^2+500 x^3\right) \, dx","Integrate[(-9720 - 81*E^x + E*(3240 - 900*x) + E^5*(3240 - 900*x) + 15660*x - 5400*x^2 + 500*x^3)/81,x]","\frac{125 x^4}{81}-\frac{200 x^3}{9}-\frac{50 e^5 x^2}{9}-\frac{50 e x^2}{9}+\frac{290 x^2}{3}+40 e^5 x+40 e x-120 x-e^x","5 \left(5 \left(\frac{x^2}{9}-x\right)+x-e^5-e+3\right)^2-e^x+1",1,"-E^x - 120*x + 40*E*x + 40*E^5*x + (290*x^2)/3 - (50*E*x^2)/9 - (50*E^5*x^2)/9 - (200*x^3)/9 + (125*x^4)/81","A",1
62,1,22,18,0.0029509,"\int \frac{1}{3} \left(-2+2 e^{5/3}+2 x\right) \, dx","Integrate[(-2 + 2*E^(5/3) + 2*x)/3,x]","\frac{2}{3} \left(\frac{x^2}{2}+e^{5/3} x-x\right)","\frac{1}{3} \left(-x-e^{5/3}+1\right)^2",1,"(2*(-x + E^(5/3)*x + x^2/2))/3","A",1
63,1,19,21,0.2946728,"\int \frac{(-5-2 x) \log (4)+(-7-4 x) \log (4) \log (x)-\log (4) \log ^2(x)}{\left(25 x^2+20 x^3+4 x^4\right) \log ^2(x)+\left(10 x^2+4 x^3\right) \log ^3(x)+x^2 \log ^4(x)} \, dx","Integrate[((-5 - 2*x)*Log[4] + (-7 - 4*x)*Log[4]*Log[x] - Log[4]*Log[x]^2)/((25*x^2 + 20*x^3 + 4*x^4)*Log[x]^2 + (10*x^2 + 4*x^3)*Log[x]^3 + x^2*Log[x]^4),x]","\frac{\log (4)}{x \log (x) (2 x+\log (x)+5)}","\frac{\log (4)}{x \log (x) (2 x+\log (x)+5)}+28",1,"Log[4]/(x*Log[x]*(5 + 2*x + Log[x]))","A",1
64,1,16,19,0.0630766,"\int \frac{50+25 x-50 x \log (x) \log (\log (x))}{\left(32 x+48 x^2+24 x^3+4 x^4\right) \log (25) \log (x)} \, dx","Integrate[(50 + 25*x - 50*x*Log[x]*Log[Log[x]])/((32*x + 48*x^2 + 24*x^3 + 4*x^4)*Log[25]*Log[x]),x]","\frac{25 \log (\log (x))}{4 (x+2)^2 \log (25)}","\frac{25 \log (\log (x))}{4 (x+2)^2 \log (25)}+\log (4)",1,"(25*Log[Log[x]])/(4*(2 + x)^2*Log[25])","A",1
65,1,21,21,0.5002723,"\int \frac{4 e^x x^3-8 e^{\frac{1}{x^2}} \log ^2(2)}{\left(-15 e^x x^3-15 e^{\frac{1}{x^2}} x^3 \log ^2(2)+\left(e^x x^3+e^{\frac{1}{x^2}} x^3 \log ^2(2)\right) \log \left(\frac{e^x+e^{\frac{1}{x^2}} \log ^2(2)}{\log ^2(2)}\right)\right) \log \left(-15+\log \left(\frac{e^x+e^{\frac{1}{x^2}} \log ^2(2)}{\log ^2(2)}\right)\right)} \, dx","Integrate[(4*E^x*x^3 - 8*E^x^(-2)*Log[2]^2)/((-15*E^x*x^3 - 15*E^x^(-2)*x^3*Log[2]^2 + (E^x*x^3 + E^x^(-2)*x^3*Log[2]^2)*Log[(E^x + E^x^(-2)*Log[2]^2)/Log[2]^2])*Log[-15 + Log[(E^x + E^x^(-2)*Log[2]^2)/Log[2]^2]]),x]","4 \log \left(\log \left(\log \left(e^{\frac{1}{x^2}}+\frac{e^x}{\log ^2(2)}\right)-15\right)\right)","4 \log \left(\log \left(\log \left(e^{\frac{1}{x^2}}+\frac{e^x}{\log ^2(2)}\right)-15\right)\right)",1,"4*Log[Log[-15 + Log[E^x^(-2) + E^x/Log[2]^2]]]","A",1
66,1,24,26,0.2473235,"\int \frac{-2-8 x-6 x^8+2 \log \left(x^2\right)}{-8 x^2+4 x^3+x^9+x \log \left(x^2\right)} \, dx","Integrate[(-2 - 8*x - 6*x^8 + 2*Log[x^2])/(-8*x^2 + 4*x^3 + x^9 + x*Log[x^2]),x]","2 \log (x)-\log \left(x^8+4 x^2+\log \left(x^2\right)-8 x\right)","\log \left(\frac{x}{\frac{\frac{1}{4} \left(x^8+\log \left(x^2\right)\right)+x}{x}+x-3}\right)",1,"2*Log[x] - Log[-8*x + 4*x^2 + x^8 + Log[x^2]]","A",1
67,1,55,37,0.1143412,"\int \frac{-78 x^3+36 x^4-3 x^5+e^{\frac{2 \left(5+3 x^2\right)}{3 x}} \left(-45 x+30 x^2-3 x^3\right)+e^{\frac{5+3 x^2}{3 x}} \left(-50-30 x-90 x^2+66 x^3-6 x^4\right)}{768 x^3-672 x^4+243 x^5-42 x^6+3 x^7+e^{\frac{2 \left(5+3 x^2\right)}{3 x}} \left(675 x-540 x^2+198 x^3-36 x^4+3 x^5\right)+e^{\frac{5+3 x^2}{3 x}} \left(1440 x^2-1206 x^3+438 x^4-78 x^5+6 x^6\right)} \, dx","Integrate[(-78*x^3 + 36*x^4 - 3*x^5 + E^((2*(5 + 3*x^2))/(3*x))*(-45*x + 30*x^2 - 3*x^3) + E^((5 + 3*x^2)/(3*x))*(-50 - 30*x - 90*x^2 + 66*x^3 - 6*x^4))/(768*x^3 - 672*x^4 + 243*x^5 - 42*x^6 + 3*x^7 + E^((2*(5 + 3*x^2))/(3*x))*(675*x - 540*x^2 + 198*x^3 - 36*x^4 + 3*x^5) + E^((5 + 3*x^2)/(3*x))*(1440*x^2 - 1206*x^3 + 438*x^4 - 78*x^5 + 6*x^6)),x]","\frac{e^{x+\frac{5}{3 x}} (x-5)+(x-6) x}{x \left(x^2-7 x+16\right)+e^{x+\frac{5}{3 x}} \left(x^2-6 x+15\right)}","\frac{x}{x^2+\frac{10 x}{-\frac{x}{x+e^{x+\frac{5}{3 x}}}+x-5}-x}",1,"(E^(5/(3*x) + x)*(-5 + x) + (-6 + x)*x)/(x*(16 - 7*x + x^2) + E^(5/(3*x) + x)*(15 - 6*x + x^2))","A",1
68,1,45,27,0.0356772,"\int \frac{-30 x-2 x^3+e \left(10 x+x^3\right)+(6+e (-2-10 x)+30 x) \log (x)+(-6+2 e) \log ^2(x)}{8 x^3} \, dx","Integrate[(-30*x - 2*x^3 + E*(10*x + x^3) + (6 + E*(-2 - 10*x) + 30*x)*Log[x] + (-6 + 2*E)*Log[x]^2)/(8*x^3),x]","\frac{1}{8} \left(-\frac{e \log ^2(x)}{x^2}+\frac{3 \log ^2(x)}{x^2}+e x-2 x+\frac{10 e \log (x)}{x}-\frac{30 \log (x)}{x}\right)","\frac{1}{8} \left(x-(3-e) \left(x-\left(\frac{\log (x)}{x}-5\right)^2\right)\right)",1,"(-2*x + E*x - (30*Log[x])/x + (10*E*Log[x])/x + (3*Log[x]^2)/x^2 - (E*Log[x]^2)/x^2)/8","A",1
69,1,17,26,0.0073467,"\int \frac{-43+40 x-10 x^2}{12-12 x+3 x^2} \, dx","Integrate[(-43 + 40*x - 10*x^2)/(12 - 12*x + 3*x^2),x]","\frac{1}{3} \left(\frac{3}{x-2}-10 (x-2)\right)","\frac{5 x}{3}-5 (x+5)-\frac{1}{2-x}-5 e^3+5",1,"(3/(-2 + x) - 10*(-2 + x))/3","A",1
70,1,15,22,0.1258212,"\int \frac{e^{-125/x} \left(2 x-e^{125/x} x+\left(250+2 x-e^{125/x} x\right) \log (x)\right)}{x} \, dx","Integrate[(2*x - E^(125/x)*x + (250 + 2*x - E^(125/x)*x)*Log[x])/(E^(125/x)*x),x]","\left(2 e^{-125/x}-1\right) x \log (x)","-\left(\left(x-2 e^{-125/x} x\right) \log (x)\right)-3+5 \log (3)",1,"(-1 + 2/E^(125/x))*x*Log[x]","A",1
71,1,35,30,0.0678149,"\int \frac{1}{6} \left(-24+e^{\frac{1}{6} \left(-14 x^2+7 x^3\right)} \left(-28 x+21 x^2\right) (i \pi +\log (2-\log (2)))\right) \, dx","Integrate[(-24 + E^((-14*x^2 + 7*x^3)/6)*(-28*x + 21*x^2)*(I*Pi + Log[2 - Log[2]]))/6,x]","-4 x+e^{\frac{7 x^3}{6}-\frac{7 x^2}{3}} (\log (2-\log (2))+i \pi )","-4 x+e^{\frac{7}{6} (x-2) x^2} (\log (2-\log (2))+i \pi )",1,"-4*x + E^((-7*x^2)/3 + (7*x^3)/6)*(I*Pi + Log[2 - Log[2]])","A",1
72,1,33,30,1.5964191,"\int \frac{-147+7308 x-10311 x^2+5733 x^3-1470 x^4+147 x^5+\left(-105 x+42 x^2\right) \log \left(\frac{x}{3}\right)}{2160900 x-3231060 x^2+1928101 x^3-559090 x^4+75411 x^5-3430 x^6+49 x^7+\left(2940 x-2198 x^2+490 x^3-14 x^4\right) \log \left(\frac{x}{3}\right)+x \log ^2\left(\frac{x}{3}\right)} \, dx","Integrate[(-147 + 7308*x - 10311*x^2 + 5733*x^3 - 1470*x^4 + 147*x^5 + (-105*x + 42*x^2)*Log[x/3])/(2160900*x - 3231060*x^2 + 1928101*x^3 - 559090*x^4 + 75411*x^5 - 3430*x^6 + 49*x^7 + (2940*x - 2198*x^2 + 490*x^3 - 14*x^4)*Log[x/3] + x*Log[x/3]^2),x]","\frac{21 \left(x^2-5 x+7\right)}{-7 x^3+245 x^2-1099 x+\log \left(\frac{x}{3}\right)+1470}","\frac{1}{-\frac{x}{3}-\frac{\log \left(\frac{x}{3}\right)}{21 ((5-x) x-7)}+10}",1,"(21*(7 - 5*x + x^2))/(1470 - 1099*x + 245*x^2 - 7*x^3 + Log[x/3])","A",1
73,1,81,26,0.0683744,"\int \frac{e \left(-12+72 x-144 x^2+240 x^3+144 x^4\right)+e \left(-16+84 x-192 x^2+128 x^3+96 x^4\right) \log (2)+e \left(-5+28 x-48 x^2+16 x^3+16 x^4\right) \log ^2(2)}{8+24 x+24 x^2+8 x^3} \, dx","Integrate[(E*(-12 + 72*x - 144*x^2 + 240*x^3 + 144*x^4) + E*(-16 + 84*x - 192*x^2 + 128*x^3 + 96*x^4)*Log[2] + E*(-5 + 28*x - 48*x^2 + 16*x^3 + 16*x^4)*Log[2]^2)/(8 + 24*x + 24*x^2 + 8*x^3),x]","\frac{e \left(-32 (x+1)^3 \left(21+3 \log ^2(2)+\log (65536)\right)-24 (x+1) \left(42+9 \log ^2(2)-25 \log (2)+8 \log (16)+4 \log (256)\right)+16 (x+1)^4 (3+\log (2))^2+324+81 \log ^2(2)+16 \log (256)+49 \log (16)\right)}{16 (x+1)^2}","e \left(x+\frac{(2 x-1)^2 (2+\log (2))}{4 (x+1)}\right)^2",1,"(E*(324 + 81*Log[2]^2 + 16*(1 + x)^4*(3 + Log[2])^2 + 49*Log[16] + 16*Log[256] - 24*(1 + x)*(42 - 25*Log[2] + 9*Log[2]^2 + 8*Log[16] + 4*Log[256]) - 32*(1 + x)^3*(21 + 3*Log[2]^2 + Log[65536])))/(16*(1 + x)^2)","B",1
74,1,30,32,0.2075644,"\int \frac{\exp \left(\frac{x^3}{8 e^3 x^2+e^5 x^3+e^x \left(8 e^3+e^5 x\right)}\right) \left(128 e^6 x^4+16 e^3 x^5+32 e^8 x^5+2 e^{10} x^6+e^{2 x} \left(128 e^6+32 e^8 x+2 e^{10} x^2\right)+e^x \left(256 e^6 x^2+4 e^{10} x^4+e^3 \left(48 x^3-16 x^4\right)+e^5 \left(64 e^3 x^3+4 x^4-2 x^5\right)\right)\right)}{64 e^6 x^4+16 e^8 x^5+e^{10} x^6+e^{2 x} \left(64 e^6+16 e^8 x+e^{10} x^2\right)+e^x \left(128 e^6 x^2+32 e^8 x^3+2 e^{10} x^4\right)} \, dx","Integrate[(E^(x^3/(8*E^3*x^2 + E^5*x^3 + E^x*(8*E^3 + E^5*x)))*(128*E^6*x^4 + 16*E^3*x^5 + 32*E^8*x^5 + 2*E^10*x^6 + E^(2*x)*(128*E^6 + 32*E^8*x + 2*E^10*x^2) + E^x*(256*E^6*x^2 + 4*E^10*x^4 + E^3*(48*x^3 - 16*x^4) + E^5*(64*E^3*x^3 + 4*x^4 - 2*x^5))))/(64*E^6*x^4 + 16*E^8*x^5 + E^10*x^6 + E^(2*x)*(64*E^6 + 16*E^8*x + E^10*x^2) + E^x*(128*E^6*x^2 + 32*E^8*x^3 + 2*E^10*x^4)),x]","2 e^{\frac{x^3}{e^3 \left(e^2 x+8\right) \left(x^2+e^x\right)}} x","2 e^{\frac{x^2}{\left(\frac{8 e^3}{x}+e^5\right) \left(x^2+e^x\right)}} x",1,"2*E^(x^3/(E^3*(8 + E^2*x)*(E^x + x^2)))*x","A",1
75,1,7,23,0.0008101,"\int \frac{-3+x^2}{x^2} \, dx","Integrate[(-3 + x^2)/x^2,x]","x+\frac{3}{x}","x+\frac{3-5 (x+4 x (\log (2)+i \pi ))}{x}",1,"3/x + x","A",1
76,1,54,25,0.0255383,"\int \frac{e^5 \left(-432 e x^2-64 e^2 x^6\right)+288 e^6 x^2 \log (2)-48 e^6 x^2 \log ^2(2)}{81-72 e x^4+16 e^2 x^8+\left(-108+48 e x^4\right) \log (2)+\left(54-8 e x^4\right) \log ^2(2)-12 \log ^3(2)+\log ^4(2)} \, dx","Integrate[(E^5*(-432*E*x^2 - 64*E^2*x^6) + 288*E^6*x^2*Log[2] - 48*E^6*x^2*Log[2]^2)/(81 - 72*E*x^4 + 16*E^2*x^8 + (-108 + 48*E*x^4)*Log[2] + (54 - 8*E*x^4)*Log[2]^2 - 12*Log[2]^3 + Log[2]^4),x]","\frac{4 e^6 x^3 \left(36+4 \log ^2(2)-18 \log (2)-\log (64)\right)}{\left(9+\log ^2(2)-\log (64)\right) \left(4 e x^4-9-\log ^2(2)+\log (64)\right)}","\frac{4 e^5}{x-\frac{(\log (2)-3)^2}{4 e x^3}}",1,"(4*E^6*x^3*(36 - 18*Log[2] + 4*Log[2]^2 - Log[64]))/((9 + Log[2]^2 - Log[64])*(-9 + 4*E*x^4 - Log[2]^2 + Log[64]))","B",1
77,1,58,29,1.7018038,"\int \frac{-2 x+e^x \left(-10 x+10 x^2\right)+e^{2 x} \left(25-25 x+50 x^2\right)}{x-10 e^x x^2+e^{2 x} \left(50 x-25 x^2+25 x^3+25 x \log (4)\right)+25 e^{2 x} x \log (2 x)} \, dx","Integrate[(-2*x + E^x*(-10*x + 10*x^2) + E^(2*x)*(25 - 25*x + 50*x^2))/(x - 10*E^x*x^2 + E^(2*x)*(50*x - 25*x^2 + 25*x^3 + 25*x*Log[4]) + 25*E^(2*x)*x*Log[2*x]),x]","\log \left(25 e^{2 x} x^2-10 e^x x-25 e^{2 x} x+50 e^{2 x}+25 e^{2 x} \log (2 x)+25 e^{2 x} \log (4)+1\right)-2 x","\log \left(-\left(x-\frac{e^{-x}}{5}\right)^2+x-\log (2 x)-2-\log (4)\right)",1,"-2*x + Log[1 + 50*E^(2*x) - 10*E^x*x - 25*E^(2*x)*x + 25*E^(2*x)*x^2 + 25*E^(2*x)*Log[4] + 25*E^(2*x)*Log[2*x]]","A",1
78,1,14,17,0.0023132,"\int \frac{-4 x-\log (x)}{6 x} \, dx","Integrate[(-4*x - Log[x])/(6*x),x]","-\frac{2 x}{3}-\frac{1}{12} \log ^2(x)","\frac{1}{3} \left(-2 x-\frac{1}{4} \log ^2(x)+5\right)",1,"(-2*x)/3 - Log[x]^2/12","A",1
79,1,35,28,0.0040405,"\int \frac{1}{3} \left(-5-e^3-7 x^2+\left(-3-3 x^2\right) \log (x)\right) \, dx","Integrate[(-5 - E^3 - 7*x^2 + (-3 - 3*x^2)*Log[x])/3,x]","-\frac{2 x^3}{3}-\frac{1}{3} x^3 \log (x)-\frac{e^3 x}{3}-\frac{2 x}{3}-x \log (x)","-\frac{1}{3} x \left(x^2+x (x+x \log (x))+e^3+5\right)+x+x (-\log (x))",1,"(-2*x)/3 - (E^3*x)/3 - (2*x^3)/3 - x*Log[x] - (x^3*Log[x])/3","A",1
80,1,50,33,0.2014113,"\int \frac{69 x-141 x^2-135 x^3-315 x^4+135 x^5+\left(300-75 x-1800 x^3+450 x^4\right) \log (4-x)+\left(-38 x+2 x^2+(-160+40 x) \log (4-x)\right) \log (x)+(5 x+(20-5 x) \log (4-x)) \log ^2(x)}{-180 x^2+45 x^3} \, dx","Integrate[(69*x - 141*x^2 - 135*x^3 - 315*x^4 + 135*x^5 + (300 - 75*x - 1800*x^3 + 450*x^4)*Log[4 - x] + (-38*x + 2*x^2 + (-160 + 40*x)*Log[4 - x])*Log[x] + (5*x + (20 - 5*x)*Log[4 - x])*Log[x]^2)/(-180*x^2 + 45*x^3),x]","\frac{1}{45} \left(\frac{5 \log (4-x) \left(45 x^3-135 x+\log ^2(x)-6 \log (x)+9\right)}{x}+45 x \left(x^2-3\right)+\log ^2(x)-6 \log (x)\right)","(x+5 \log (4-x)) \left(x^2+\frac{\left(\frac{\log (x)}{3}-1\right)^2}{5 x}-3\right)",1,"(45*x*(-3 + x^2) - 6*Log[x] + Log[x]^2 + (5*Log[4 - x]*(9 - 135*x + 45*x^3 - 6*Log[x] + Log[x]^2))/x)/45","A",1
81,1,28,22,3.079036,"\int \frac{e^{3 x} \left(2 x-x^2\right)+e^{2 x} \left(-x+625 x^2\right)+e^x \left(x^2+x^3\right)+2 e^{2 x} x \log (x)}{e^{4 x}+1250 e^{3 x} x+x^2+1250 e^x x^2+e^{2 x} \left(2 x+390625 x^2\right)+\left(2 e^{3 x}+2 e^x x+1250 e^{2 x} x\right) \log (x)+e^{2 x} \log ^2(x)} \, dx","Integrate[(E^(3*x)*(2*x - x^2) + E^(2*x)*(-x + 625*x^2) + E^x*(x^2 + x^3) + 2*E^(2*x)*x*Log[x])/(E^(4*x) + 1250*E^(3*x)*x + x^2 + 1250*E^x*x^2 + E^(2*x)*(2*x + 390625*x^2) + (2*E^(3*x) + 2*E^x*x + 1250*E^(2*x)*x)*Log[x] + E^(2*x)*Log[x]^2),x]","\frac{e^x x^2}{625 e^x x+x+e^{2 x}+e^x \log (x)}","\frac{x^2}{e^{-x} x+625 x+e^x+\log (x)}",1,"(E^x*x^2)/(E^(2*x) + x + 625*E^x*x + E^x*Log[x])","A",1
82,0,0,44,40.2381265,"\int \frac{\exp \left(\frac{e^x (-1+x)+x-x^2-x \log \left(\frac{x^2}{3}\right)+x \log \left(1-x^2\right)}{\log \left(\frac{x^2}{3}\right)-\log \left(1-x^2\right)}\right) \left(2 e^x-2 x+\left(-1-2 x-x^2\right) \log ^2\left(\frac{x^2}{3}\right)+\left(-x+x^2+2 x^3+e^x \left(-x^2-x^3\right)\right) \log \left(1-x^2\right)+\left(-1-2 x-x^2\right) \log ^2\left(1-x^2\right)+\log \left(\frac{x^2}{3}\right) \left(x-x^2-2 x^3+e^x \left(x^2+x^3\right)+\left(2+4 x+2 x^2\right) \log \left(1-x^2\right)\right)\right)}{\left(x^2+x^3\right) \log ^2\left(\frac{x^2}{3}\right)+\left(-2 x^2-2 x^3\right) \log \left(\frac{x^2}{3}\right) \log \left(1-x^2\right)+\left(x^2+x^3\right) \log ^2\left(1-x^2\right)} \, dx","Integrate[(E^((E^x*(-1 + x) + x - x^2 - x*Log[x^2/3] + x*Log[1 - x^2])/(Log[x^2/3] - Log[1 - x^2]))*(2*E^x - 2*x + (-1 - 2*x - x^2)*Log[x^2/3]^2 + (-x + x^2 + 2*x^3 + E^x*(-x^2 - x^3))*Log[1 - x^2] + (-1 - 2*x - x^2)*Log[1 - x^2]^2 + Log[x^2/3]*(x - x^2 - 2*x^3 + E^x*(x^2 + x^3) + (2 + 4*x + 2*x^2)*Log[1 - x^2])))/((x^2 + x^3)*Log[x^2/3]^2 + (-2*x^2 - 2*x^3)*Log[x^2/3]*Log[1 - x^2] + (x^2 + x^3)*Log[1 - x^2]^2),x]","\int \frac{\exp \left(\frac{e^x (-1+x)+x-x^2-x \log \left(\frac{x^2}{3}\right)+x \log \left(1-x^2\right)}{\log \left(\frac{x^2}{3}\right)-\log \left(1-x^2\right)}\right) \left(2 e^x-2 x+\left(-1-2 x-x^2\right) \log ^2\left(\frac{x^2}{3}\right)+\left(-x+x^2+2 x^3+e^x \left(-x^2-x^3\right)\right) \log \left(1-x^2\right)+\left(-1-2 x-x^2\right) \log ^2\left(1-x^2\right)+\log \left(\frac{x^2}{3}\right) \left(x-x^2-2 x^3+e^x \left(x^2+x^3\right)+\left(2+4 x+2 x^2\right) \log \left(1-x^2\right)\right)\right)}{\left(x^2+x^3\right) \log ^2\left(\frac{x^2}{3}\right)+\left(-2 x^2-2 x^3\right) \log \left(\frac{x^2}{3}\right) \log \left(1-x^2\right)+\left(x^2+x^3\right) \log ^2\left(1-x^2\right)} \, dx","\frac{\exp \left(\frac{(1-x) \left(x-e^x\right)}{\log \left(\frac{x^2}{3}\right)-\log \left(1-x^2\right)}-x\right)}{x}",1,"Integrate[(E^((E^x*(-1 + x) + x - x^2 - x*Log[x^2/3] + x*Log[1 - x^2])/(Log[x^2/3] - Log[1 - x^2]))*(2*E^x - 2*x + (-1 - 2*x - x^2)*Log[x^2/3]^2 + (-x + x^2 + 2*x^3 + E^x*(-x^2 - x^3))*Log[1 - x^2] + (-1 - 2*x - x^2)*Log[1 - x^2]^2 + Log[x^2/3]*(x - x^2 - 2*x^3 + E^x*(x^2 + x^3) + (2 + 4*x + 2*x^2)*Log[1 - x^2])))/((x^2 + x^3)*Log[x^2/3]^2 + (-2*x^2 - 2*x^3)*Log[x^2/3]*Log[1 - x^2] + (x^2 + x^3)*Log[1 - x^2]^2), x]","F",-1
83,1,27,27,0.0107543,"\int \frac{5 x-15 x^2+x^3+e^2 \left(-5+10 x-x^2\right)}{5 e^2 x^2-5 x^3} \, dx","Integrate[(5*x - 15*x^2 + x^3 + E^2*(-5 + 10*x - x^2))/(5*E^2*x^2 - 5*x^3),x]","\frac{1}{5} \left(-x+\frac{5}{x}+5 \log \left(e^2-x\right)+10 \log (x)\right)","\log \left(\left(e^2-x\right) x^2\right)-\frac{x}{5}+\frac{1}{x}-e^2+1",1,"(5/x - x + 5*Log[E^2 - x] + 10*Log[x])/5","A",1
84,1,28,34,0.1359948,"\int \frac{e^x x^2-4 x^3+e^{\frac{x^2+x^3-2 x \log (3)+\log ^2(3)}{x}} \left(-x^2-2 x^3+\log ^2(3)\right)}{x^2} \, dx","Integrate[(E^x*x^2 - 4*x^3 + E^((x^2 + x^3 - 2*x*Log[3] + Log[3]^2)/x)*(-x^2 - 2*x^3 + Log[3]^2))/x^2,x]","-2 x^2-\frac{1}{9} e^{x^2+x+\frac{\log ^2(3)}{x}}+e^x","-e^{x \left(\frac{(\log (3)-x)^2}{x^2}+x\right)}+(1-2 x) x-x+e^x",1,"E^x - E^(x + x^2 + Log[3]^2/x)/9 - 2*x^2","A",1
85,1,21,23,1.136411,"\int \frac{20 x+\left(3+x^2\right) \log \left(3+x^2\right)}{\left(-96+3 x-32 x^2+x^3-\left(-30-10 x^2\right) \log \left(\frac{4}{3}\right)\right) \log \left(3+x^2\right)+\left(30+10 x^2\right) \log \left(3+x^2\right) \log \left(\log \left(3+x^2\right)\right)} \, dx","Integrate[(20*x + (3 + x^2)*Log[3 + x^2])/((-96 + 3*x - 32*x^2 + x^3 - (-30 - 10*x^2)*Log[4/3])*Log[3 + x^2] + (30 + 10*x^2)*Log[3 + x^2]*Log[Log[3 + x^2]]),x]","\log \left(-10 \log \left(\log \left(x^2+3\right)\right)-x+32-10 \log \left(\frac{4}{3}\right)\right)","\log \left(-10 \left(-\log \left(\log \left(x^2+3\right)\right)+3-\log \left(\frac{4}{3}\right)\right)+x-2\right)",1,"Log[32 - x - 10*Log[4/3] - 10*Log[Log[3 + x^2]]]","A",1
86,1,15,27,0.1943367,"\int \frac{e^{\frac{18}{2 x^2+x^2 \log (x)}} \left(-90+4 x^2+\left(-36+4 x^2\right) \log (x)+x^2 \log ^2(x)\right)}{4 x^2+4 x^2 \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(E^(18/(2*x^2 + x^2*Log[x]))*(-90 + 4*x^2 + (-36 + 4*x^2)*Log[x] + x^2*Log[x]^2))/(4*x^2 + 4*x^2*Log[x] + x^2*Log[x]^2),x]","x e^{\frac{18}{x^2 (\log (x)+2)}}","x e^{\frac{9}{x \left(\frac{x}{2}+\frac{x}{\log (x)}\right) \log (x)}}",1,"E^(18/(x^2*(2 + Log[x])))*x","A",1
87,1,29,19,0.0786909,"\int \left(308+44 e^{4/3}+968 x+e^x \left(14+102 x+44 x^2+e^{4/3} (2+2 x)\right) \log (5)+e^{2 x} \left(2 x+2 x^2\right) \log ^2(5)\right) \, dx","Integrate[308 + 44*E^(4/3) + 968*x + E^x*(14 + 102*x + 44*x^2 + E^(4/3)*(2 + 2*x))*Log[5] + E^(2*x)*(2*x + 2*x^2)*Log[5]^2,x]","x \left(e^x \log (5)+22\right) \left(22 x+e^x x \log (5)+2 e^{4/3}+14\right)","\left(22 x+e^x x \log (5)+e^{4/3}+7\right)^2",1,"x*(22 + E^x*Log[5])*(14 + 2*E^(4/3) + 22*x + E^x*x*Log[5])","A",1
88,1,23,25,0.00492,"\int \frac{12+71 e^{25/4}+\log (2)}{e^{25/2}-2 e^{25/4} x+x^2} \, dx","Integrate[(12 + 71*E^(25/4) + Log[2])/(E^(25/2) - 2*E^(25/4)*x + x^2),x]","\frac{12+71 e^{25/4}+\log (2)}{e^{25/4}-x}","\frac{-x+3 (24 x+4)+\log (2)}{e^{25/4}-x}",1,"(12 + 71*E^(25/4) + Log[2])/(E^(25/4) - x)","A",1
89,1,23,23,0.522763,"\int \frac{e^{14 x/5} \left(-360-165 x-15 x^2\right)+\left(45 x+15 x^2+e^{14 x/5} \left(888 x+447 x^2+42 x^3\right)\right) \log (x)+\left(-360-165 x-15 x^2+\left(-120 x-15 x^2\right) \log (x)\right) \log (8+x)}{\left(360 x+285 x^2+70 x^3+5 x^4\right) \log ^2(x)} \, dx","Integrate[(E^((14*x)/5)*(-360 - 165*x - 15*x^2) + (45*x + 15*x^2 + E^((14*x)/5)*(888*x + 447*x^2 + 42*x^3))*Log[x] + (-360 - 165*x - 15*x^2 + (-120*x - 15*x^2)*Log[x])*Log[8 + x])/((360*x + 285*x^2 + 70*x^3 + 5*x^4)*Log[x]^2),x]","\frac{3 \left(e^{14 x/5}+\log (x+8)\right)}{(x+3) \log (x)}","\frac{3 \left(e^{14 x/5}+\log (x+8)\right)}{(x+3) \log (x)}",1,"(3*(E^((14*x)/5) + Log[8 + x]))/((3 + x)*Log[x])","A",1
90,1,29,26,0.0077127,"\int \frac{1}{2} \left(-e^{e^4}+2 e^{8+4 x}+2 x\right) \, dx","Integrate[(-E^E^4 + 2*E^(8 + 4*x) + 2*x)/2,x]","\frac{x^2}{2}-\frac{e^{e^4} x}{2}+\frac{1}{4} e^{4 x+8}","\frac{1}{4} \left(x^2+\left(e^{e^4}-x\right)^2+e^{4 (x+2)}\right)",1,"E^(8 + 4*x)/4 - (E^E^4*x)/2 + x^2/2","A",1
91,1,46,25,0.0808101,"\int \frac{9-21 x+6 x^2+(3-6 x) \log (4)+(-9+9 x+(-3+3 x) \log (4)) \log \left(-x+x^2\right)+\left(-9+15 x-7 x^2+x^3+\left(-6+8 x-2 x^2\right) \log (4)+(-1+x) \log ^2(4)\right) \log ^2\left(-x+x^2\right)}{\left(-9+15 x-7 x^2+x^3+\left(-6+8 x-2 x^2\right) \log (4)+(-1+x) \log ^2(4)\right) \log ^2\left(-x+x^2\right)} \, dx","Integrate[(9 - 21*x + 6*x^2 + (3 - 6*x)*Log[4] + (-9 + 9*x + (-3 + 3*x)*Log[4])*Log[-x + x^2] + (-9 + 15*x - 7*x^2 + x^3 + (-6 + 8*x - 2*x^2)*Log[4] + (-1 + x)*Log[4]^2)*Log[-x + x^2]^2)/((-9 + 15*x - 7*x^2 + x^3 + (-6 + 8*x - 2*x^2)*Log[4] + (-1 + x)*Log[4]^2)*Log[-x + x^2]^2),x]","x-\frac{x \left(6 x^2-21 x-3 x \log (16)+9+\log (64)\right)}{(2 x-1) (x-3-\log (4))^2 \log ((x-1) x)}","\frac{3 x}{(-x+3+\log (4)) \log \left(x^2-x\right)}+x-1",1,"x - (x*(9 - 21*x + 6*x^2 - 3*x*Log[16] + Log[64]))/((-1 + 2*x)*(-3 + x - Log[4])^2*Log[(-1 + x)*x])","A",0
92,1,21,25,0.0303616,"\int \frac{-75 x^3-75 x^4+\left(300 e^5 x^3-300 x^4-300 x^3 \log (x)\right) \log \left(-e^5+x+\log (x)\right)}{-9 e^5+9 x+9 \log (x)+\left(-30 e^5 x^4+30 x^5+30 x^4 \log (x)\right) \log \left(-e^5+x+\log (x)\right)+\left(-25 e^5 x^8+25 x^9+25 x^8 \log (x)\right) \log ^2\left(-e^5+x+\log (x)\right)} \, dx","Integrate[(-75*x^3 - 75*x^4 + (300*E^5*x^3 - 300*x^4 - 300*x^3*Log[x])*Log[-E^5 + x + Log[x]])/(-9*E^5 + 9*x + 9*Log[x] + (-30*E^5*x^4 + 30*x^5 + 30*x^4*Log[x])*Log[-E^5 + x + Log[x]] + (-25*E^5*x^8 + 25*x^9 + 25*x^8*Log[x])*Log[-E^5 + x + Log[x]]^2),x]","\frac{75}{25 x^4 \log \left(x+\log (x)-e^5\right)+15}","\frac{15}{5 x^4 \log \left(x+\log (x)-e^5\right)+3}+3 e",1,"75/(15 + 25*x^4*Log[-E^5 + x + Log[x]])","A",1
93,1,21,28,0.0121099,"\int \frac{-5+2 x^2-5 e^{1+5 x} x^2+2 x^3}{x^2} \, dx","Integrate[(-5 + 2*x^2 - 5*E^(1 + 5*x)*x^2 + 2*x^3)/x^2,x]","x^2+2 x-e^{5 x+1}+\frac{5}{x}","(x+2)^2-e^{5 x+1}-2 x+\frac{5-x}{x}+2",1,"-E^(1 + 5*x) + 5/x + 2*x + x^2","A",1
94,1,56,35,0.1267254,"\int \frac{72 x \left(i \pi +\log \left(-4+4 e^5\right)\right)^2+\left(\left(-288 x^2-18 x^3\right) \left(i \pi +\log \left(-4+4 e^5\right)\right)+144 x \left(i \pi +\log \left(-4+4 e^5\right)\right)^2 \log (x)\right) \log (\log (x))+\left(-864 x^2-36 x^3\right) \left(i \pi +\log \left(-4+4 e^5\right)\right) \log (x) \log ^2(\log (x))+\left(1152 x^3+72 x^4\right) \log (x) \log ^3(\log (x))}{-\left(i \pi +\log \left(-4+4 e^5\right)\right)^3 \log (x)+12 x \left(i \pi +\log \left(-4+4 e^5\right)\right)^2 \log (x) \log (\log (x))-48 x^2 \left(i \pi +\log \left(-4+4 e^5\right)\right) \log (x) \log ^2(\log (x))+64 x^3 \log (x) \log ^3(\log (x))} \, dx","Integrate[(72*x*(I*Pi + Log[-4 + 4*E^5])^2 + ((-288*x^2 - 18*x^3)*(I*Pi + Log[-4 + 4*E^5]) + 144*x*(I*Pi + Log[-4 + 4*E^5])^2*Log[x])*Log[Log[x]] + (-864*x^2 - 36*x^3)*(I*Pi + Log[-4 + 4*E^5])*Log[x]*Log[Log[x]]^2 + (1152*x^3 + 72*x^4)*Log[x]*Log[Log[x]]^3)/(-((I*Pi + Log[-4 + 4*E^5])^3*Log[x]) + 12*x*(I*Pi + Log[-4 + 4*E^5])^2*Log[x]*Log[Log[x]] - 48*x^2*(I*Pi + Log[-4 + 4*E^5])*Log[x]*Log[Log[x]]^2 + 64*x^3*Log[x]*Log[Log[x]]^3),x]","-\frac{9 x^2 \log (\log (x)) \left(x (x+32) \log (\log (x))-8 i \pi -8 \log \left(4 \left(e^5-1\right)\right)\right)}{\left(4 i x \log (\log (x))+\pi -i \log \left(4 \left(e^5-1\right)\right)\right)^2}","9 \left(-4+\frac{x}{-4+\frac{\log \left(4 e^5-4\right)+i \pi }{x \log (\log (x))}}\right)^2",1,"(-9*x^2*Log[Log[x]]*((-8*I)*Pi - 8*Log[4*(-1 + E^5)] + x*(32 + x)*Log[Log[x]]))/(Pi - I*Log[4*(-1 + E^5)] + (4*I)*x*Log[Log[x]])^2","A",1
95,1,22,22,1.0396018,"\int \frac{\exp \left(\frac{-x+\left(5+x^3\right) \log \left(e^{e^{6 x}} x\right)}{\log \left(e^{e^{6 x}} x\right)}\right) \left(1+6 e^{6 x} x-\log \left(e^{e^{6 x}} x\right)+3 x^2 \log ^2\left(e^{e^{6 x}} x\right)\right)}{\log ^2\left(e^{e^{6 x}} x\right)} \, dx","Integrate[(E^((-x + (5 + x^3)*Log[E^E^(6*x)*x])/Log[E^E^(6*x)*x])*(1 + 6*E^(6*x)*x - Log[E^E^(6*x)*x] + 3*x^2*Log[E^E^(6*x)*x]^2))/Log[E^E^(6*x)*x]^2,x]","e^{x^3-\frac{x}{\log \left(e^{e^{6 x}} x\right)}+5}","e^{x^3-\frac{x}{\log \left(e^{e^{6 x}} x\right)}+5}",1,"E^(5 + x^3 - x/Log[E^E^(6*x)*x])","A",1
96,1,24,24,1.5879804,"\int \frac{\exp \left(-e^x+e^{-e^x+2 x} x \left(-2 x+x^2\right) \log ^4(2)\right) \left(-2 x+x^2\right) \left(e^{3 x} \left(2 x-x^2\right) \log ^4(2)+e^{2 x} \left(-4-x+2 x^2\right) \log ^4(2)\right)}{-2+x} \, dx","Integrate[(E^(-E^x + E^(-E^x + 2*x)*x*(-2*x + x^2)*Log[2]^4)*(-2*x + x^2)*(E^(3*x)*(2*x - x^2)*Log[2]^4 + E^(2*x)*(-4 - x + 2*x^2)*Log[2]^4))/(-2 + x),x]","e^{e^{2 x-e^x} (x-2) x^2 \log ^4(2)}","e^{e^{2 x-e^x} (x-2) x^2 \log ^4(2)}",1,"E^(E^(-E^x + 2*x)*(-2 + x)*x^2*Log[2]^4)","A",1
97,1,13,22,0.0245349,"\int \frac{-1+3 x-x \log (x)}{-3 x+x \log (x)} \, dx","Integrate[(-1 + 3*x - x*Log[x])/(-3*x + x*Log[x]),x]","-x-\log (3-\log (x))","-x-\log (25 (3-\log (x)))-5+16 \log ^2(3)",1,"-x - Log[3 - Log[x]]","A",1
98,1,21,24,0.0405647,"\int \frac{e^{\frac{-e^5-720 x^3+160 x^4+160 x^3 \log (x)}{16 x^3}} \left(3 e^5+160 x^3+160 x^4\right)}{16 x^4} \, dx","Integrate[(E^((-E^5 - 720*x^3 + 160*x^4 + 160*x^3*Log[x])/(16*x^3))*(3*E^5 + 160*x^3 + 160*x^4))/(16*x^4),x]","e^{-\frac{e^5}{16 x^3}+10 x-45} x^{10}","e^{5 (2 (x+\log (x)-5)+1)-\frac{e^5}{16 x^3}}",1,"E^(-45 - E^5/(16*x^3) + 10*x)*x^10","A",1
99,1,70,30,0.3618412,"\int \frac{100-105 x+31 x^2+3 e^{2 x} x^2+e^x \left(-30 x+24 x^2-x^3\right)+\left(30 x-19 x^2-6 e^x x^2\right) \log (x)+3 x^2 \log ^2(x)}{75+10 x-83 x^2+30 x^3+e^{2 x} \left(3 x^2+3 x^3\right)+e^x \left(-30 x-17 x^2+19 x^3\right)+\left(30 x+17 x^2-19 x^3+e^x \left(-6 x^2-6 x^3\right)\right) \log (x)+\left(3 x^2+3 x^3\right) \log ^2(x)} \, dx","Integrate[(100 - 105*x + 31*x^2 + 3*E^(2*x)*x^2 + E^x*(-30*x + 24*x^2 - x^3) + (30*x - 19*x^2 - 6*E^x*x^2)*Log[x] + 3*x^2*Log[x]^2)/(75 + 10*x - 83*x^2 + 30*x^3 + E^(2*x)*(3*x^2 + 3*x^3) + E^x*(-30*x - 17*x^2 + 19*x^3) + (30*x + 17*x^2 - 19*x^3 + E^x*(-6*x^2 - 6*x^3))*Log[x] + (3*x^2 + 3*x^3)*Log[x]^2),x]","\log \left(-3 e^x x^2-10 x^2+3 x^2 \log (x)-3 e^x x+11 x+3 x \log (x)+15\right)+\log (x)+\log (x+1)-\log (x (x+1))-\log \left(-e^x x-3 x+x \log (x)+5\right)","\log \left(x+\frac{1}{3} \left(3-\frac{x-5}{-e^x+\frac{5}{x}+\log (x)-3}\right)\right)",1,"Log[x] + Log[1 + x] - Log[x*(1 + x)] - Log[5 - 3*x - E^x*x + x*Log[x]] + Log[15 + 11*x - 3*E^x*x - 10*x^2 - 3*E^x*x^2 + 3*x*Log[x] + 3*x^2*Log[x]]","B",1
100,1,21,22,0.6731608,"\int \frac{e-9 e^{6562-2 x}+\left(-e+e^{6562-2 x} (9-18 x)\right) \log (x)+\log ^2(x)}{\log ^2(x)} \, dx","Integrate[(E - 9*E^(6562 - 2*x) + (-E + E^(6562 - 2*x)*(9 - 18*x))*Log[x] + Log[x]^2)/Log[x]^2,x]","\frac{x \left(9 e^{6562-2 x}+\log (x)-e\right)}{\log (x)}","x+\frac{e \left(9 e^{6561-2 x} x-x\right)}{\log (x)}",1,"(x*(-E + 9*E^(6562 - 2*x) + Log[x]))/Log[x]","A",1
101,1,64,18,0.0072445,"\int \frac{6 e^4 x+24 e^3 x \log (3)+\left(64+36 e^2 x\right) \log ^2(3)+24 e x \log ^3(3)+6 x \log ^4(3)}{e^4+4 e^3 \log (3)+6 e^2 \log ^2(3)+4 e \log ^3(3)+\log ^4(3)} \, dx","Integrate[(6*E^4*x + 24*E^3*x*Log[3] + (64 + 36*E^2*x)*Log[3]^2 + 24*E*x*Log[3]^3 + 6*x*Log[3]^4)/(E^4 + 4*E^3*Log[3] + 6*E^2*Log[3]^2 + 4*E*Log[3]^3 + Log[3]^4),x]","\frac{3 e^4 x^2+3 x^2 \log ^4(3)+12 e x^2 \log ^3(3)+18 e^2 x^2 \log ^2(3)+12 e^3 x^2 \log (3)+64 x \log ^2(3)}{(e+\log (3))^4}","x \left(3 x+\frac{64 \log ^2(3)}{(e+\log (3))^4}\right)",1,"(3*E^4*x^2 + 12*E^3*x^2*Log[3] + 64*x*Log[3]^2 + 18*E^2*x^2*Log[3]^2 + 12*E*x^2*Log[3]^3 + 3*x^2*Log[3]^4)/(E + Log[3])^4","B",1
102,1,21,17,0.0578946,"\int \left(3 x^2+e^{2 x} \left(3 x^2+2 x^3+e^2 \left(2 x+2 x^2\right)\right)\right) \, dx","Integrate[3*x^2 + E^(2*x)*(3*x^2 + 2*x^3 + E^2*(2*x + 2*x^2)),x]","x^3+e^{2 x} \left(x^3+e^2 x^2\right)","x^2 \left(x+e^{2 x} \left(x+e^2\right)\right)",1,"x^3 + E^(2*x)*(E^2*x^2 + x^3)","A",1
103,1,29,25,0.0615978,"\int \frac{-x^2+e^{\frac{729-9 x+2 x^2+x^3}{x}} \left(729-2 x^2-2 x^3\right)}{3 e^{\frac{2 \left(729-9 x+2 x^2+x^3\right)}{x}} x^2+6 e^{\frac{729-9 x+2 x^2+x^3}{x}} x^3+3 x^4} \, dx","Integrate[(-x^2 + E^((729 - 9*x + 2*x^2 + x^3)/x)*(729 - 2*x^2 - 2*x^3))/(3*E^((2*(729 - 9*x + 2*x^2 + x^3))/x)*x^2 + 6*E^((729 - 9*x + 2*x^2 + x^3)/x)*x^3 + 3*x^4),x]","\frac{e^9}{3 \left(e^{x^2+2 x+\frac{729}{x}}+e^9 x\right)}","\frac{1}{3 \left(e^{x^2+2 x-\frac{9 (x-81)}{x}}+x\right)}",1,"E^9/(3*(E^(729/x + 2*x + x^2) + E^9*x))","A",1
104,1,25,25,0.5384601,"\int \frac{-9+7 x+27 x^2+e^{-x} \left(5 x-3 x^2\right)+\left(-6-2 x+18 x^2+e^{-x} \left(2 x-x^2\right)\right) \log (x)+\left(-1-2 x+3 x^2\right) \log ^2(x)}{9+6 \log (x)+\log ^2(x)} \, dx","Integrate[(-9 + 7*x + 27*x^2 + (5*x - 3*x^2)/E^x + (-6 - 2*x + 18*x^2 + (2*x - x^2)/E^x)*Log[x] + (-1 - 2*x + 3*x^2)*Log[x]^2)/(9 + 6*Log[x] + Log[x]^2),x]","x \left(x^2-x+\frac{\left(e^{-x}+5\right) x}{\log (x)+3}-1\right)","x \left(x^2-x+\frac{\left(e^{-x}+5\right) x}{\log (x)+3}-1\right)",1,"x*(-1 - x + x^2 + ((5 + E^(-x))*x)/(3 + Log[x]))","A",1
105,1,28,25,0.0521381,"\int \left(3 e^{4+3 x} \left(5+4 e^2+2 e^4\right)+e^{2 x} (1+2 x)\right) \, dx","Integrate[3*E^(4 + 3*x)*(5 + 4*E^2 + 2*E^4) + E^(2*x)*(1 + 2*x),x]","e^{2 x} x+\left(5+4 e^2+2 e^4\right) e^{3 x+4}","e^{2 x} \left(x+\left(3+2 \left(1+e^2\right)^2\right) e^{x+4}\right)",1,"E^(4 + 3*x)*(5 + 4*E^2 + 2*E^4) + E^(2*x)*x","A",1
106,1,23,33,0.0607465,"\int \frac{1}{2} e^{3+x} \left(-12 x^2+x^4+e^4 \left(40 x+20 x^2\right)\right) \, dx","Integrate[(E^(3 + x)*(-12*x^2 + x^4 + E^4*(40*x + 20*x^2)))/2,x]","\frac{1}{2} e^{x+3} x^2 \left((x-4) x+20 e^4\right)","10 e^{x+3} \left(\frac{1}{5} \left(\frac{x^2}{4}-x\right)+e^4\right) x^2+e^3",1,"(E^(3 + x)*x^2*(20*E^4 + (-4 + x)*x))/2","A",1
107,1,85,31,0.1189067,"\int \frac{e^6 \left(-162+198 x-90 x^2-18 x^3-6 x^4-10 x^5-18 x^6-4 x^7\right)+e^3 \left(18 x-18 x^2+6 x^4+4 x^5\right) \log (2)+\left(e^6 \left(-36+90 x+72 x^2+18 x^3+30 x^4+54 x^5+12 x^6\right)+e^3 \left(-18+18 x-18 x^3-12 x^4\right) \log (2)\right) \log (x)+\left(e^6 \left(-54 x-30 x^3-54 x^4-12 x^5\right)+e^3 \left(18 x^2+12 x^3\right) \log (2)\right) \log ^2(x)+\left(e^6 \left(-12 x+10 x^2+18 x^3+4 x^4\right)+e^3 \left(-6 x-4 x^2\right) \log (2)\right) \log ^3(x)}{-x^4+3 x^3 \log (x)-3 x^2 \log ^2(x)+x \log ^3(x)} \, dx","Integrate[(E^6*(-162 + 198*x - 90*x^2 - 18*x^3 - 6*x^4 - 10*x^5 - 18*x^6 - 4*x^7) + E^3*(18*x - 18*x^2 + 6*x^4 + 4*x^5)*Log[2] + (E^6*(-36 + 90*x + 72*x^2 + 18*x^3 + 30*x^4 + 54*x^5 + 12*x^6) + E^3*(-18 + 18*x - 18*x^3 - 12*x^4)*Log[2])*Log[x] + (E^6*(-54*x - 30*x^3 - 54*x^4 - 12*x^5) + E^3*(18*x^2 + 12*x^3)*Log[2])*Log[x]^2 + (E^6*(-12*x + 10*x^2 + 18*x^3 + 4*x^4) + E^3*(-6*x - 4*x^2)*Log[2])*Log[x]^3)/(-x^4 + 3*x^3*Log[x] - 3*x^2*Log[x]^2 + x*Log[x]^3),x]","e^3 \left(e^3 x^4+6 e^3 x^3+x^2 \left(5 e^3-\log (4)\right)+\frac{18 \left(e^3 \left(x^2+3 x-2\right)-\log (2)\right)}{x-\log (x)}-6 x \left(2 e^3+\log (2)\right)+\frac{81 e^3}{(x-\log (x))^2}\right)","\left(e^3 \left(-x^2-3 x-\frac{9}{x-\log (x)}+2\right)+\log (2)\right)^2+1",1,"E^3*(6*E^3*x^3 + E^3*x^4 - 6*x*(2*E^3 + Log[2]) + x^2*(5*E^3 - Log[4]) + (81*E^3)/(x - Log[x])^2 + (18*(E^3*(-2 + 3*x + x^2) - Log[2]))/(x - Log[x]))","B",1
108,1,32,30,0.0842167,"\int \frac{-x+x^2+e^5 (-2+2 x)+\left(-x+x^2+e^5 (-2+2 x)\right) \log \left(x^2-2 x^3+x^4\right)+e^5 (-4+8 x) \log \left(\frac{1}{3} \left(1+\log \left(x^2-2 x^3+x^4\right)\right)\right)}{-x+x^2+\left(-x+x^2\right) \log \left(x^2-2 x^3+x^4\right)} \, dx","Integrate[(-x + x^2 + E^5*(-2 + 2*x) + (-x + x^2 + E^5*(-2 + 2*x))*Log[x^2 - 2*x^3 + x^4] + E^5*(-4 + 8*x)*Log[(1 + Log[x^2 - 2*x^3 + x^4])/3])/(-x + x^2 + (-x + x^2)*Log[x^2 - 2*x^3 + x^4]),x]","e^5 \log ^2\left(\frac{1}{3} \left(\log \left((x-1)^2 x^2\right)+1\right)\right)+x+2 e^5 \log (x)","e^5 \left(\log ^2\left(\frac{1}{3} \left(\log \left(\left(x^2-x\right)^2\right)+1\right)\right)+\log \left(x^2\right)\right)+x",1,"x + 2*E^5*Log[x] + E^5*Log[(1 + Log[(-1 + x)^2*x^2])/3]^2","A",1
109,1,24,17,0.0000882,"\int \left(7+e^3-2 x-180 x^3+45 x^4\right) \, dx","Integrate[7 + E^3 - 2*x - 180*x^3 + 45*x^4,x]","9 x^5-45 x^4-x^2+e^3 x+7 x","(x-5) \left(9 x^4-x+e^3+2\right)",1,"7*x + E^3*x - x^2 - 45*x^4 + 9*x^5","A",1
110,1,33,24,0.148763,"\int \frac{-1062882+1023516 x+38880 x^2+484 x^3+2 x^4+e^{2 x} \left(-324+316 x+4 x^2\right)+\left(2125764+78732 x+972 x^2+4 x^3\right) \log (x)}{531441 x^3+19683 x^4+243 x^5+x^6} \, dx","Integrate[(-1062882 + 1023516*x + 38880*x^2 + 484*x^3 + 2*x^4 + E^(2*x)*(-324 + 316*x + 4*x^2) + (2125764 + 78732*x + 972*x^2 + 4*x^3)*Log[x])/(531441*x^3 + 19683*x^4 + 243*x^5 + x^6),x]","\frac{2 \left(-x (x+81)^2+e^{2 x}-(x+81)^2 \log (x)\right)}{x^2 (x+81)^2}","\frac{2 \left(-x+\frac{e^{2 x}}{(x+81)^2}-\log (x)\right)}{x^2}",1,"(2*(E^(2*x) - x*(81 + x)^2 - (81 + x)^2*Log[x]))/(x^2*(81 + x)^2)","A",1
111,1,24,26,0.6322295,"\int \frac{\exp \left(\frac{4+x^2+e^4 \left(3 x-2 x^2\right)}{e^4 \left(4+x^2\right)}\right) \left(40-20 x-14 x^2-3 x^3+x^4\right)}{16+8 x^2+x^4} \, dx","Integrate[(E^((4 + x^2 + E^4*(3*x - 2*x^2))/(E^4*(4 + x^2)))*(40 - 20*x - 14*x^2 - 3*x^3 + x^4))/(16 + 8*x^2 + x^4),x]","e^{\frac{(3-2 x) x}{x^2+4}+\frac{1}{e^4}} (x+2)","e^{\frac{1}{e^4}-\frac{2 x-3}{x+\frac{4}{x}}} (x+2)",1,"E^(E^(-4) + ((3 - 2*x)*x)/(4 + x^2))*(2 + x)","A",1
112,1,10,17,0.0058185,"\int \frac{2 x+5 \log (4)}{x^2+5 x \log (4)} \, dx","Integrate[(2*x + 5*Log[4])/(x^2 + 5*x*Log[4]),x]","\log (x)+\log (x+5 \log (4))","\log \left(\frac{x^2}{\log (4)}+5 x\right)+\log (\log (27))",1,"Log[x] + Log[x + 5*Log[4]]","A",1
113,1,28,23,0.4852895,"\int \frac{2+50 e^6 x^2+600 e^3 x^4+1350 x^6}{3 x+25 e^6 x^3+150 e^3 x^5+225 x^7+2 x \log (x)} \, dx","Integrate[(2 + 50*E^6*x^2 + 600*E^3*x^4 + 1350*x^6)/(3*x + 25*E^6*x^3 + 150*E^3*x^5 + 225*x^7 + 2*x*Log[x]),x]","\log \left(225 x^6+150 e^3 x^4+25 e^6 x^2+2 \log (x)+3\right)","\log \left(25 x^2 \left(3 x^2+e^3\right)^2+2 \log (x)+3\right)",1,"Log[3 + 25*E^6*x^2 + 150*E^3*x^4 + 225*x^6 + 2*Log[x]]","A",1
114,1,34,30,0.0616906,"\int \frac{\left(-5632-12288 x-6144 x^2\right) \log ^2(4)+e^{2 x} \left(-384 x^2-256 x^3\right) \log ^2(4)+e^x \left(3072 x+4608 x^2+1024 x^3\right) \log ^2(4)}{64000+211200 x+462720 x^2+668864 x^3+724224 x^4+581376 x^5+344064 x^6+144384 x^7+36864 x^8+4096 x^9+e^{6 x} x^9+e^x \left(-57600 x^2-165120 x^3-292416 x^4-336768 x^5-265728 x^6-144384 x^7-46080 x^8-6144 x^9\right)+e^{3 x} \left(-2880 x^5-6816 x^6-9024 x^7-5760 x^8-1280 x^9\right)+e^{5 x} \left(-36 x^8-24 x^9\right)+e^{4 x} \left(120 x^6+564 x^7+720 x^8+240 x^9\right)+e^{2 x} \left(4800 x^3+27840 x^4+59376 x^5+70272 x^6+54144 x^7+23040 x^8+3840 x^9\right)} \, dx","Integrate[((-5632 - 12288*x - 6144*x^2)*Log[4]^2 + E^(2*x)*(-384*x^2 - 256*x^3)*Log[4]^2 + E^x*(3072*x + 4608*x^2 + 1024*x^3)*Log[4]^2)/(64000 + 211200*x + 462720*x^2 + 668864*x^3 + 724224*x^4 + 581376*x^5 + 344064*x^6 + 144384*x^7 + 36864*x^8 + 4096*x^9 + E^(6*x)*x^9 + E^x*(-57600*x^2 - 165120*x^3 - 292416*x^4 - 336768*x^5 - 265728*x^6 - 144384*x^7 - 46080*x^8 - 6144*x^9) + E^(3*x)*(-2880*x^5 - 6816*x^6 - 9024*x^7 - 5760*x^8 - 1280*x^9) + E^(5*x)*(-36*x^8 - 24*x^9) + E^(4*x)*(120*x^6 + 564*x^7 + 720*x^8 + 240*x^9) + E^(2*x)*(4800*x^3 + 27840*x^4 + 59376*x^5 + 70272*x^6 + 54144*x^7 + 23040*x^8 + 3840*x^9)),x]","\frac{64 \log ^2(4)}{\left(\left(e^x-4\right)^2 x^3-12 \left(e^x-4\right) x^2+44 x+40\right)^2}","\frac{\log ^2(4)}{\left(\frac{1}{2} x \left(-\frac{e^x x}{2}+2 x+3\right)^2+x+5\right)^2}",1,"(64*Log[4]^2)/(40 + 44*x - 12*(-4 + E^x)*x^2 + (-4 + E^x)^2*x^3)^2","A",1
115,1,30,27,0.0301349,"\int e^{-x} \left(-144 x^3+36 x^4+e^x \left(15+24 x^2-6 x \log (7)\right)\right) \, dx","Integrate[(-144*x^3 + 36*x^4 + E^x*(15 + 24*x^2 - 6*x*Log[7]))/E^x,x]","3 \left(-12 e^{-x} x^4+\frac{8 x^3}{3}-x^2 \log (7)+5 x\right)","x \left(4 \left(2-9 e^{-x} x\right) x^2+3 (5-x \log (7))\right)",1,"3*(5*x + (8*x^3)/3 - (12*x^4)/E^x - x^2*Log[7])","A",1
116,1,15,13,0.3345827,"\int \frac{1-12 x-24 x^2}{\left(10 x-12 x^2-12 x^3+x \log (x)\right) \log \left(10-12 x-12 x^2+\log (x)\right) \log \left(\log \left(10-12 x-12 x^2+\log (x)\right)\right)} \, dx","Integrate[(1 - 12*x - 24*x^2)/((10*x - 12*x^2 - 12*x^3 + x*Log[x])*Log[10 - 12*x - 12*x^2 + Log[x]]*Log[Log[10 - 12*x - 12*x^2 + Log[x]]]),x]","\log \left(\log \left(\log \left(-12 x^2-12 x+\log (x)+10\right)\right)\right)","\log (\log (\log (-12 x (x+1)+\log (x)+10)))",1,"Log[Log[Log[10 - 12*x - 12*x^2 + Log[x]]]]","A",1
117,0,0,30,17.320486,"\int \frac{\exp \left(\frac{-x+\left(-2 x-x^3\right) \log (4)+\left(1+x^2 \log (4)\right) \log (2 x)}{\left(-5 x^2-x^3\right) \log (4)+\left(5 x+x^2\right) \log (4) \log (2 x)}\right) \left(-5 x^2-2 x^3+\left(10 x-8 x^2-4 x^3+5 x^4\right) \log (4)+\left(10 x+4 x^2+\left(2 x^2-10 x^3\right) \log (4)\right) \log (2 x)+\left(-5-2 x+5 x^2 \log (4)\right) \log ^2(2 x)\right)}{\left(25 x^4+10 x^5+x^6\right) \log (4)+\left(-50 x^3-20 x^4-2 x^5\right) \log (4) \log (2 x)+\left(25 x^2+10 x^3+x^4\right) \log (4) \log ^2(2 x)} \, dx","Integrate[(E^((-x + (-2*x - x^3)*Log[4] + (1 + x^2*Log[4])*Log[2*x])/((-5*x^2 - x^3)*Log[4] + (5*x + x^2)*Log[4]*Log[2*x]))*(-5*x^2 - 2*x^3 + (10*x - 8*x^2 - 4*x^3 + 5*x^4)*Log[4] + (10*x + 4*x^2 + (2*x^2 - 10*x^3)*Log[4])*Log[2*x] + (-5 - 2*x + 5*x^2*Log[4])*Log[2*x]^2))/((25*x^4 + 10*x^5 + x^6)*Log[4] + (-50*x^3 - 20*x^4 - 2*x^5)*Log[4]*Log[2*x] + (25*x^2 + 10*x^3 + x^4)*Log[4]*Log[2*x]^2),x]","\int \frac{\exp \left(\frac{-x+\left(-2 x-x^3\right) \log (4)+\left(1+x^2 \log (4)\right) \log (2 x)}{\left(-5 x^2-x^3\right) \log (4)+\left(5 x+x^2\right) \log (4) \log (2 x)}\right) \left(-5 x^2-2 x^3+\left(10 x-8 x^2-4 x^3+5 x^4\right) \log (4)+\left(10 x+4 x^2+\left(2 x^2-10 x^3\right) \log (4)\right) \log (2 x)+\left(-5-2 x+5 x^2 \log (4)\right) \log ^2(2 x)\right)}{\left(25 x^4+10 x^5+x^6\right) \log (4)+\left(-50 x^3-20 x^4-2 x^5\right) \log (4) \log (2 x)+\left(25 x^2+10 x^3+x^4\right) \log (4) \log ^2(2 x)} \, dx","e^{\frac{x+\frac{2}{x-\log (2 x)}+\frac{1}{x \log (4)}}{x+5}}",1,"Integrate[(E^((-x + (-2*x - x^3)*Log[4] + (1 + x^2*Log[4])*Log[2*x])/((-5*x^2 - x^3)*Log[4] + (5*x + x^2)*Log[4]*Log[2*x]))*(-5*x^2 - 2*x^3 + (10*x - 8*x^2 - 4*x^3 + 5*x^4)*Log[4] + (10*x + 4*x^2 + (2*x^2 - 10*x^3)*Log[4])*Log[2*x] + (-5 - 2*x + 5*x^2*Log[4])*Log[2*x]^2))/((25*x^4 + 10*x^5 + x^6)*Log[4] + (-50*x^3 - 20*x^4 - 2*x^5)*Log[4]*Log[2*x] + (25*x^2 + 10*x^3 + x^4)*Log[4]*Log[2*x]^2), x]","F",-1
118,1,23,29,0.1073483,"\int \frac{e^{-x} \left(-45-45 x+e^{-\frac{e^5 x}{5}} \left(5+5 x+e^5 x\right)\right)}{5 x^2} \, dx","Integrate[(-45 - 45*x + (5 + 5*x + E^5*x)/E^((E^5*x)/5))/(5*E^x*x^2),x]","\frac{e^{-x} \left(9-e^{-\frac{e^5 x}{5}}\right)}{x}","\frac{e^{-x} \left(9-e^{\frac{1}{5} \left(x-\left(1+e^5\right) x\right)}\right)}{x}",1,"(9 - E^(-1/5*(E^5*x)))/(E^x*x)","A",1
119,1,22,22,0.0080984,"\int \frac{-4+40 x \log (x)-2 x \log ^2(x)-x \log ^3(x)}{64 x \log (x)} \, dx","Integrate[(-4 + 40*x*Log[x] - 2*x*Log[x]^2 - x*Log[x]^3)/(64*x*Log[x]),x]","\frac{5 x}{8}-\frac{1}{64} x \log ^2(x)-\frac{1}{16} \log (\log (x))","\frac{1}{16} \left(x \left(10-\frac{\log ^2(x)}{4}\right)-\log (\log (x))\right)",1,"(5*x)/8 - (x*Log[x]^2)/64 - Log[Log[x]]/16","A",1
120,1,19,27,0.0250974,"\int \frac{324-432 e^x}{4624+144 e^8+144 e^{2 x}+e^x \left(-1632-288 e^4-216 x\right)+1224 x+81 x^2+e^4 (1632+216 x)} \, dx","Integrate[(324 - 432*E^x)/(4624 + 144*E^8 + 144*E^(2*x) + E^x*(-1632 - 288*E^4 - 216*x) + 1224*x + 81*x^2 + E^4*(1632 + 216*x)),x]","-\frac{36}{9 x-12 e^x+12 e^4+68}","\frac{3}{\frac{1}{4} \left(x-\frac{68}{3}\right)+e^x-x-e^4}-1",1,"-36/(68 + 12*E^4 - 12*E^x + 9*x)","A",1
121,1,25,24,0.0480264,"\int \frac{1}{3} \left(120+e^{5+\frac{x}{3}} (10-10 x)-60 x+e^x \left(-120-60 x+30 x^2\right)\right) \, dx","Integrate[(120 + E^(5 + x/3)*(10 - 10*x) - 60*x + E^x*(-120 - 60*x + 30*x^2))/3,x]","10 (x-4) \left(e^x x-x-e^{\frac{x}{3}+5}\right)","10 (4-x) \left(-e^x x+x+e^{\frac{x}{3}+5}\right)",1,"10*(-4 + x)*(-E^(5 + x/3) - x + E^x*x)","A",1
122,1,21,23,0.1010772,"\int \frac{e^{\frac{4+x^2-2 x^3-6 x^5}{x}} \left(-20+5 x^2-20 x^3-120 x^5\right)}{x^2} \, dx","Integrate[(E^((4 + x^2 - 2*x^3 - 6*x^5)/x)*(-20 + 5*x^2 - 20*x^3 - 120*x^5))/x^2,x]","5 e^{-6 x^4-2 x^2+x+\frac{4}{x}}","5 e^{-2 \left(3 x+\frac{1}{x}\right) x^3+x+\frac{4}{x}}",1,"5*E^(4/x + x - 2*x^2 - 6*x^4)","A",1
123,1,18,20,0.1906261,"\int \frac{\exp \left(6+\frac{1}{80} e^{6-\frac{2 \left(3-x^2\right)}{x}}-\frac{2 \left(3-x^2\right)}{x}\right) \left(3+x^2\right)}{40 x^2} \, dx","Integrate[(E^(6 + E^(6 - (2*(3 - x^2))/x)/80 - (2*(3 - x^2))/x)*(3 + x^2))/(40*x^2),x]","e^{\frac{1}{80} e^{2 x-\frac{6}{x}+6}}","e^{\frac{1}{80} e^{2 x-\frac{6}{x}+6}}-5",1,"E^(E^(6 - 6/x + 2*x)/80)","A",1
124,1,20,30,0.0471522,"\int \frac{-900+e^x (18000-900 x)}{-2500+e^x (2500-125 x)+125 x+(2500-125 x) \log (20-x)+\left(1500-75 x+e^x (-1500+75 x)+(-1500+75 x) \log (20-x)\right) \log \left(1-2 e^x+e^{2 x}+\left(-2+2 e^x\right) \log (20-x)+\log ^2(20-x)\right)+\left(-300+e^x (300-15 x)+15 x+(300-15 x) \log (20-x)\right) \log ^2\left(1-2 e^x+e^{2 x}+\left(-2+2 e^x\right) \log (20-x)+\log ^2(20-x)\right)+\left(20+e^x (-20+x)-x+(-20+x) \log (20-x)\right) \log ^3\left(1-2 e^x+e^{2 x}+\left(-2+2 e^x\right) \log (20-x)+\log ^2(20-x)\right)} \, dx","Integrate[(-900 + E^x*(18000 - 900*x))/(-2500 + E^x*(2500 - 125*x) + 125*x + (2500 - 125*x)*Log[20 - x] + (1500 - 75*x + E^x*(-1500 + 75*x) + (-1500 + 75*x)*Log[20 - x])*Log[1 - 2*E^x + E^(2*x) + (-2 + 2*E^x)*Log[20 - x] + Log[20 - x]^2] + (-300 + E^x*(300 - 15*x) + 15*x + (300 - 15*x)*Log[20 - x])*Log[1 - 2*E^x + E^(2*x) + (-2 + 2*E^x)*Log[20 - x] + Log[20 - x]^2]^2 + (20 + E^x*(-20 + x) - x + (-20 + x)*Log[20 - x])*Log[1 - 2*E^x + E^(2*x) + (-2 + 2*E^x)*Log[20 - x] + Log[20 - x]^2]^3),x]","\frac{225}{\left(\log \left(\left(e^x+\log (20-x)-1\right)^2\right)-5\right)^2}","\frac{25}{\left(\frac{1}{3} \left(\log \left(\left(-e^x-\log (20-x)+1\right)^2\right)+1\right)-2\right)^2}",1,"225/(-5 + Log[(-1 + E^x + Log[20 - x])^2])^2","A",1
125,1,26,22,0.0038895,"\int \frac{-32400000000+10800000000 x^2+60 e^{16} x^4}{e^{16} x^7} \, dx","Integrate[(-32400000000 + 10800000000*x^2 + 60*E^16*x^4)/(E^16*x^7),x]","\frac{60 \left(\frac{90000000}{x^6}-\frac{45000000}{x^4}-\frac{e^{16}}{2 x^2}\right)}{e^{16}}","\frac{3 \left(5-\frac{900000000}{e^{16} x^4}\right) \left(x-\frac{2}{x}\right)}{x}",1,"(60*(90000000/x^6 - 45000000/x^4 - E^16/(2*x^2)))/E^16","A",1
126,1,21,26,0.0118299,"\int \frac{-e^e x^2+8 x^3-4 \log ^2(\log (2))}{4 x^2} \, dx","Integrate[(-(E^E*x^2) + 8*x^3 - 4*Log[Log[2]]^2)/(4*x^2),x]","x^2-\frac{e^e x}{4}+\frac{\log ^2(\log (2))}{x}","x \left(x-\frac{e^e}{4}\right)+\frac{\log ^2(\log (2))-x}{x}-2",1,"-1/4*(E^E*x) + x^2 + Log[Log[2]]^2/x","A",1
127,1,28,28,0.1067483,"\int \frac{(-16+4 x+(4+4 x) \log (5+5 x)) \log (\log (3))}{e^5 \left(-100-75 x+25 x^2\right) \log (5+5 x)+e^5 \left(-40-30 x+10 x^2\right) \log (5+5 x) \log \left(\frac{2}{(-4+x) \log (5+5 x)}\right)+e^5 \left(-4-3 x+x^2\right) \log (5+5 x) \log ^2\left(\frac{2}{(-4+x) \log (5+5 x)}\right)} \, dx","Integrate[((-16 + 4*x + (4 + 4*x)*Log[5 + 5*x])*Log[Log[3]])/(E^5*(-100 - 75*x + 25*x^2)*Log[5 + 5*x] + E^5*(-40 - 30*x + 10*x^2)*Log[5 + 5*x]*Log[2/((-4 + x)*Log[5 + 5*x])] + E^5*(-4 - 3*x + x^2)*Log[5 + 5*x]*Log[2/((-4 + x)*Log[5 + 5*x])]^2),x]","\frac{4 \log (\log (3))}{e^5 \left(\log \left(\frac{2}{(x-4) \log (5 (x+1))}\right)+5\right)}","\frac{4 \log (\log (3))}{e^5 \left(\log \left(\frac{2}{(x-4) \log (5 (x+1))}\right)+5\right)}",1,"(4*Log[Log[3]])/(E^5*(5 + Log[2/((-4 + x)*Log[5*(1 + x)])]))","A",1
128,1,18,26,0.0616968,"\int \frac{497-139 x^2+10 x^4+e^x \left(245+245 x-70 x^2-70 x^3+5 x^4+5 x^5\right)}{49-14 x^2+x^4} \, dx","Integrate[(497 - 139*x^2 + 10*x^4 + E^x*(245 + 245*x - 70*x^2 - 70*x^3 + 5*x^4 + 5*x^5))/(49 - 14*x^2 + x^4),x]","x \left(\frac{1}{7-x^2}+5 e^x+10\right)","\frac{x}{7-x^2}+\frac{5}{4} \left(4 \left(e^x+2\right) x+4\right)",1,"x*(10 + 5*E^x + (7 - x^2)^(-1))","A",1
129,1,50,28,0.189302,"\int \frac{4-4 x^2+6 x^3-8 x^5+e^x \left(-x^3+x^4+x^5-x^6\right)+\left(-x^3+x^5\right) \log \left(-x+x^3\right)}{-x^5+x^7} \, dx","Integrate[(4 - 4*x^2 + 6*x^3 - 8*x^5 + E^x*(-x^3 + x^4 + x^5 - x^6) + (-x^3 + x^5)*Log[-x + x^3])/(-x^5 + x^7),x]","\frac{6 \, _2F_1\left(-\frac{1}{2},1;\frac{1}{2};x^2\right)}{x}+\frac{1}{x^4}-\frac{\log \left(x \left(x^2-1\right)\right)}{x}-\frac{e^x}{x}-\frac{1}{x}+6 \tanh ^{-1}(x)","\frac{1}{x^4}+\frac{-\log \left(x^3-x\right)-x-e^x+5}{x}",1,"x^(-4) - x^(-1) - E^x/x + 6*ArcTanh[x] + (6*Hypergeometric2F1[-1/2, 1, 1/2, x^2])/x - Log[x*(-1 + x^2)]/x","C",1
130,1,15,17,0.0347406,"\int \frac{e^x (4+x)+\left(3 e^x+e^x (12+3 x) \log (4+x)\right) \log (2 \log (5))}{4+x} \, dx","Integrate[(E^x*(4 + x) + (3*E^x + E^x*(12 + 3*x)*Log[4 + x])*Log[2*Log[5]])/(4 + x),x]","e^x (3 \log (\log (25)) \log (x+4)+1)","e^x (3 \log (2 \log (5)) \log (x+4)+1)",1,"E^x*(1 + 3*Log[4 + x]*Log[Log[25]])","A",1
131,1,41,29,0.1852477,"\int e^{-e^4 x-e^4 \log (2)} \left(4+e^{e^4 x+e^4 \log (2)} \left(-3+e^{-2+x} (-1-x)\right)-4 e^4 x\right) \, dx","Integrate[E^(-(E^4*x) - E^4*Log[2])*(4 + E^(E^4*x + E^4*Log[2])*(-3 + E^(-2 + x)*(-1 - x)) - 4*E^4*x),x]","2^{-e^4} \left(-2^{e^4} e^{x-2} x+4 e^{-e^4 x} x-3\ 2^{e^4} x\right)","x \left(-e^{x-2}+\frac{5}{x}+4 e^{-e^4 (x+\log (2))}-3\right)",1,"(-3*2^E^4*x - 2^E^4*E^(-2 + x)*x + (4*x)/E^(E^4*x))/2^E^4","A",1
132,1,59,22,1.4283031,"\int \frac{e^{-2 x} \left(-14 x+16 x^2-2 x^3+8 x \log (7-x)+\left(-28+60 x-8 x^2\right) \log ^2(7-x)\right)}{81 (-7+x)} \, dx","Integrate[(-14*x + 16*x^2 - 2*x^3 + 8*x*Log[7 - x] + (-28 + 60*x - 8*x^2)*Log[7 - x]^2)/(81*E^(2*x)*(-7 + x)),x]","\frac{1}{81} \int \frac{e^{-2 x} \left(-2 x^3+16 x^2+\left(-8 x^2+60 x-28\right) \log ^2(7-x)-14 x+8 x \log (7-x)\right)}{x-7} \, dx","\frac{1}{81} e^{-2 x} x \left(x+4 \log ^2(7-x)\right)",1,"Integrate[(-14*x + 16*x^2 - 2*x^3 + 8*x*Log[7 - x] + (-28 + 60*x - 8*x^2)*Log[7 - x]^2)/(E^(2*x)*(-7 + x)), x]/81","F",1
133,1,27,30,0.1360717,"\int \frac{10 e^x x^2+e^{\frac{-1-e+2 e^5 x+2 x^2}{2 x}} \left(1+e+2 x^2\right)}{10 x^2} \, dx","Integrate[(10*E^x*x^2 + E^((-1 - E + 2*E^5*x + 2*x^2)/(2*x))*(1 + E + 2*x^2))/(10*x^2),x]","e^x+\frac{1}{5} e^{x+\frac{-1-e}{2 x}+e^5}","\frac{1}{5} \left(e^{x-\frac{1+e}{2 x}+e^5}+e^4\right)+e^x+5",1,"E^x + E^(E^5 + (-1 - E)/(2*x) + x)/5","A",1
134,1,23,25,0.3379191,"\int \frac{-27-27 x-9 x^2-x^3+e^{\frac{35+27 x+5 x^2+x^3}{9+6 x+x^2}} \left(11+3 x+9 x^2+x^3\right)}{27+27 x+9 x^2+x^3} \, dx","Integrate[(-27 - 27*x - 9*x^2 - x^3 + E^((35 + 27*x + 5*x^2 + x^3)/(9 + 6*x + x^2))*(11 + 3*x + 9*x^2 + x^3))/(27 + 27*x + 9*x^2 + x^3),x]","e^{x+\frac{24}{x+3}-\frac{28}{(x+3)^2}-1}-x","e^{-\frac{4 \left(x^2-2\right)}{(x+3)^2}+x+3}-x+5 \log (5)",1,"E^(-1 + x - 28/(3 + x)^2 + 24/(3 + x)) - x","A",1
135,1,26,30,0.0600721,"\int \frac{-10+x^2+e^{5 x} (-1+5 x)+e^x \left(4-4 x+x^2\right)-5 \log (4)}{x^2} \, dx","Integrate[(-10 + x^2 + E^(5*x)*(-1 + 5*x) + E^x*(4 - 4*x + x^2) - 5*Log[4])/x^2,x]","\frac{x^2+e^{5 x}+e^x (x-4)+5 (2+\log (4))}{x}","\frac{e^x+e^{5 x}-\left((5-x) \left(x+e^x-2-\log (4)\right)\right)}{x}",1,"(E^(5*x) + E^x*(-4 + x) + x^2 + 5*(2 + Log[4]))/x","A",1
136,1,35,39,0.1569912,"\int \frac{450 x-360 x^2+9 x^3-24 x^4-2 x^5+e^x \left(-450+360 x+15 x^3+2 x^4\right)+\left(-225 x^2+360 x^3-114 x^4-24 x^5-x^6+e^x \left(225 x-360 x^2+114 x^3+24 x^4+x^5\right)+\left(-9 e^x x^3+9 x^4\right) \log \left(-e^x+x\right)\right) \log ^2\left(\frac{225-360 x+114 x^2+24 x^3+x^4-9 x^2 \log \left(-e^x+x\right)}{9 x^2}\right)}{\left(225 x^2-360 x^3+114 x^4+24 x^5+x^6+e^x \left(-225 x+360 x^2-114 x^3-24 x^4-x^5\right)+\left(9 e^x x^3-9 x^4\right) \log \left(-e^x+x\right)\right) \log ^2\left(\frac{225-360 x+114 x^2+24 x^3+x^4-9 x^2 \log \left(-e^x+x\right)}{9 x^2}\right)} \, dx","Integrate[(450*x - 360*x^2 + 9*x^3 - 24*x^4 - 2*x^5 + E^x*(-450 + 360*x + 15*x^3 + 2*x^4) + (-225*x^2 + 360*x^3 - 114*x^4 - 24*x^5 - x^6 + E^x*(225*x - 360*x^2 + 114*x^3 + 24*x^4 + x^5) + (-9*E^x*x^3 + 9*x^4)*Log[-E^x + x])*Log[(225 - 360*x + 114*x^2 + 24*x^3 + x^4 - 9*x^2*Log[-E^x + x])/(9*x^2)]^2)/((225*x^2 - 360*x^3 + 114*x^4 + 24*x^5 + x^6 + E^x*(-225*x + 360*x^2 - 114*x^3 - 24*x^4 - x^5) + (9*E^x*x^3 - 9*x^4)*Log[-E^x + x])*Log[(225 - 360*x + 114*x^2 + 24*x^3 + x^4 - 9*x^2*Log[-E^x + x])/(9*x^2)]^2),x]","\frac{1}{\log \left(\frac{\left(x^2+12 x-15\right)^2}{9 x^2}-\log \left(x-e^x\right)\right)}-x","\frac{1}{\log \left(\left(2-\frac{5-\left(\frac{x}{3}+2\right) x}{x}\right)^2-\log \left(x-e^x\right)\right)}-x",1,"-x + Log[(-15 + 12*x + x^2)^2/(9*x^2) - Log[-E^x + x]]^(-1)","A",1
137,1,28,29,0.0675578,"\int \frac{\left(e^{\frac{x^3}{2+x}} \left(48 x^2+16 x^3\right) \log (\log (2))+\left(-128-128 x-32 x^2\right) \log ^2(\log (2))\right) \log (\log (4))}{e^{\frac{2 x^3}{2+x}} \left(4+4 x+x^2\right)+e^{\frac{x^3}{2+x}} \left(-32 x-32 x^2-8 x^3\right) \log (\log (2))+\left(64 x^2+64 x^3+16 x^4\right) \log ^2(\log (2))} \, dx","Integrate[((E^(x^3/(2 + x))*(48*x^2 + 16*x^3)*Log[Log[2]] + (-128 - 128*x - 32*x^2)*Log[Log[2]]^2)*Log[Log[4]])/(E^((2*x^3)/(2 + x))*(4 + 4*x + x^2) + E^(x^3/(2 + x))*(-32*x - 32*x^2 - 8*x^3)*Log[Log[2]] + (64*x^2 + 64*x^3 + 16*x^4)*Log[Log[2]]^2),x]","-\frac{8 \log (\log (2)) \log (\log (4))}{e^{\frac{x^3}{x+2}}-4 x \log (\log (2))}","\frac{2 \log (\log (4))}{x-\frac{e^{\frac{x^3}{x+2}}}{4 \log (\log (2))}}",1,"(-8*Log[Log[2]]*Log[Log[4]])/(E^(x^3/(2 + x)) - 4*x*Log[Log[2]])","A",1
138,1,17,18,0.0533309,"\int \frac{-1+4 x+\left(1+x-2 x^2\right) \log (5 x)}{-2+x \log (5 x)} \, dx","Integrate[(-1 + 4*x + (1 + x - 2*x^2)*Log[5*x])/(-2 + x*Log[5*x]),x]","-x^2+x+\log (2-x \log (5 x))","-x^2+x+\log (2-x \log (5 x))+4",1,"x - x^2 + Log[2 - x*Log[5*x]]","A",1
139,1,35,28,0.1090903,"\int \frac{-2-2 x-6 x^3-16 x^4-10 x^5+e^x \left(-1-3 x^3-8 x^4-5 x^5\right)+\left(-2 x-e^x x\right) \log \left(\frac{16 x}{25}\right)}{2 x+e^x x} \, dx","Integrate[(-2 - 2*x - 6*x^3 - 16*x^4 - 10*x^5 + E^x*(-1 - 3*x^3 - 8*x^4 - 5*x^5) + (-2*x - E^x*x)*Log[(16*x)/25])/(2*x + E^x*x),x]","-x^5-2 x^4-x^3-x \log \left(\frac{16 x}{25}\right)+\log \left(e^x+2\right)-\log (x)","\log \left(\frac{e^x+2}{x}\right)-x \left(\left(x^2+x\right)^2+\log \left(\frac{16 x}{25}\right)\right)",1,"-x^3 - 2*x^4 - x^5 + Log[2 + E^x] - x*Log[(16*x)/25] - Log[x]","A",1
140,1,55,25,0.2421532,"\int \frac{\exp \left(\frac{1}{9} \left(144-96 x+160 x^2-96 x^3+16 x^4+\left(72-24 x+72 x^2-24 x^3\right) \log \left(7-x^2\right)+\left(9+9 x^2\right) \log ^2\left(7-x^2\right)\right)\right) \left(672-2096 x+1872 x^2+16 x^3-336 x^4+64 x^5+\left(168-972 x+480 x^2+180 x^3-72 x^4\right) \log \left(7-x^2\right)+\left(-126 x+18 x^3\right) \log ^2\left(7-x^2\right)\right)}{-63+9 x^2} \, dx","Integrate[(E^((144 - 96*x + 160*x^2 - 96*x^3 + 16*x^4 + (72 - 24*x + 72*x^2 - 24*x^3)*Log[7 - x^2] + (9 + 9*x^2)*Log[7 - x^2]^2)/9)*(672 - 2096*x + 1872*x^2 + 16*x^3 - 336*x^4 + 64*x^5 + (168 - 972*x + 480*x^2 + 180*x^3 - 72*x^4)*Log[7 - x^2] + (-126*x + 18*x^3)*Log[7 - x^2]^2))/(-63 + 9*x^2),x]","\left(7-x^2\right)^{8-\frac{8}{3} x \left(x^2-3 x+1\right)} \exp \left(\frac{1}{9} \left(x^2+1\right) \left(9 \log ^2\left(7-x^2\right)+16 (x-3)^2\right)\right)","e^{\left(x^2+1\right) \left(\log \left(7-x^2\right)-\frac{4 x}{3}+4\right)^2}",1,"E^(((1 + x^2)*(16*(-3 + x)^2 + 9*Log[7 - x^2]^2))/9)*(7 - x^2)^(8 - (8*x*(1 - 3*x + x^2))/3)","B",1
141,1,27,23,0.1006203,"\int \frac{1}{2} \left(-1+e^{e+\frac{1}{2} e^e \left(10 x+5 x^2\right)} (5+5 x)\right) \, dx","Integrate[(-1 + E^(E + (E^E*(10*x + 5*x^2))/2)*(5 + 5*x))/2,x]","\frac{1}{2} \left(e^{\frac{5 e^e x^2}{2}+5 e^e x}-x\right)","\frac{1}{2} \left(e^{5 e^e \left(\frac{x}{2}+1\right) x}-x\right)",1,"(E^(5*E^E*x + (5*E^E*x^2)/2) - x)/2","A",1
142,1,45,29,0.4787528,"\int \frac{8 x+4 x \log \left(\frac{5}{x^2}\right)+\left(-8+e^{x/4} x\right) \log ^2\left(\frac{5}{x^2}\right)+8 \log ^2\left(\frac{5}{x^2}\right) \log \left(\frac{x}{3}\right)}{4 x^2 \log \left(\frac{5}{x^2}\right)+\left(4 x+4 e^{x/4} x\right) \log ^2\left(\frac{5}{x^2}\right)-8 x \log ^2\left(\frac{5}{x^2}\right) \log \left(\frac{x}{3}\right)+4 x \log ^2\left(\frac{5}{x^2}\right) \log ^2\left(\frac{x}{3}\right)} \, dx","Integrate[(8*x + 4*x*Log[5/x^2] + (-8 + E^(x/4)*x)*Log[5/x^2]^2 + 8*Log[5/x^2]^2*Log[x/3])/(4*x^2*Log[5/x^2] + (4*x + 4*E^(x/4)*x)*Log[5/x^2]^2 - 8*x*Log[5/x^2]^2*Log[x/3] + 4*x*Log[5/x^2]^2*Log[x/3]^2),x]","\log \left(4 \left(\log \left(\frac{5}{x^2}\right) \left(e^{x/4}+\log ^2\left(\frac{x}{3}\right)-2 \log (x)+1+\log (9)\right)+x\right)\right)-\log \left(\log \left(\frac{5}{x^2}\right)\right)","\log \left(\frac{x}{\log \left(\frac{5}{x^2}\right)}+e^{x/4}+\left(\log \left(\frac{x}{3}\right)-1\right)^2\right)",1,"-Log[Log[5/x^2]] + Log[4*(x + Log[5/x^2]*(1 + E^(x/4) + Log[9] + Log[x/3]^2 - 2*Log[x]))]","A",1
143,1,19,19,0.3312042,"\int \frac{-2 x^2+\left(-4 x-2 x^2+2 x^3\right) \log (2-x)+\left(\left(-8 x^2+4 x^3\right) \log (2-x)+\left(-8 x+4 x^2\right) \log (2-x) \log \left(\frac{x}{\log (2-x)}\right)\right) \log \left(x+\log \left(\frac{x}{\log (2-x)}\right)\right)}{\left(-2 x+x^2\right) \log (2-x)+(-2+x) \log (2-x) \log \left(\frac{x}{\log (2-x)}\right)} \, dx","Integrate[(-2*x^2 + (-4*x - 2*x^2 + 2*x^3)*Log[2 - x] + ((-8*x^2 + 4*x^3)*Log[2 - x] + (-8*x + 4*x^2)*Log[2 - x]*Log[x/Log[2 - x]])*Log[x + Log[x/Log[2 - x]]])/((-2*x + x^2)*Log[2 - x] + (-2 + x)*Log[2 - x]*Log[x/Log[2 - x]]),x]","2 x^2 \log \left(x+\log \left(\frac{x}{\log (2-x)}\right)\right)","2 x^2 \log \left(x+\log \left(\frac{x}{\log (2-x)}\right)\right)",1,"2*x^2*Log[x + Log[x/Log[2 - x]]]","A",1
144,1,9,17,0.004712,"\int \frac{12 e^{-\frac{12}{-2+x}}}{4-4 x+x^2} \, dx","Integrate[12/(E^(12/(-2 + x))*(4 - 4*x + x^2)),x]","e^{-\frac{12}{x-2}}","e^{\frac{6}{\frac{x+2}{2}-x}}",1,"E^(-12/(-2 + x))","A",1
145,1,15,20,0.131201,"\int \left(2+2^{2 e^x x} e^x (2+2 x) \log (2)+2^{e^x x} e^x (8+8 x) \log (2)\right) \, dx","Integrate[2 + 2^(2*E^x*x)*E^x*(2 + 2*x)*Log[2] + 2^(E^x*x)*E^x*(8 + 8*x)*Log[2],x]","\left(2^{e^x x}+4\right)^2+2 x","\left(2^{e^x x}+4\right)^2+2 x+1-4 \log (5)",1,"(4 + 2^(E^x*x))^2 + 2*x","A",1
146,1,16,16,0.0027491,"\int -\frac{e^{\frac{5+\left(5-\log ^2(9)\right) \log (x)}{-5+\log ^2(9)}}}{x} \, dx","Integrate[-(E^((5 + (5 - Log[9]^2)*Log[x])/(-5 + Log[9]^2))/x),x]","\frac{e^{\frac{5}{\log ^2(9)-5}}}{x}","\frac{e^{\frac{5}{\log ^2(9)-5}}}{x}",1,"E^(5/(-5 + Log[9]^2))/x","A",1
147,1,25,24,0.1021,"\int \frac{18+9 x-4 x^2+4 x^3-x^4+\left(9 x-3 x^2\right) \log \left(\frac{e^x (-9+3 x)}{x^2}\right)}{-3 x-5 x^2-x^3+x^4} \, dx","Integrate[(18 + 9*x - 4*x^2 + 4*x^3 - x^4 + (9*x - 3*x^2)*Log[(E^x*(-9 + 3*x))/x^2])/(-3*x - 5*x^2 - x^3 + x^4),x]","\frac{3 \log \left(-\frac{3 e^x (3-x)}{x^2}\right)}{x+1}-x","\frac{3 \log \left(\frac{3 e^x (x-3)}{x^2}\right)}{x+1}-x+2",1,"-x + (3*Log[(-3*E^x*(3 - x))/x^2])/(1 + x)","A",1
148,1,38,30,0.0552043,"\int \frac{-\frac{22500 e^8}{x}-22500 e^{20} x^3+22500 e^{20} x^3 \log (x)-900 e^{10} x \log ^2(x)+900 e^{10} x \log ^3(x)+\log ^5(x)+\frac{e^6 \left(-90000 e^5 x^3+22500 e^5 x^3 \log (x)\right)}{x^3}+\frac{e^4 \left(-135000 e^{10} x^3+67500 e^{10} x^3 \log (x)-900 x \log ^2(x)\right)}{x^2}+\frac{e^2 \left(-90000 e^{15} x^3+67500 e^{15} x^3 \log (x)-1800 e^5 x \log ^2(x)+900 e^5 x \log ^3(x)\right)}{x}}{\log ^5(x)} \, dx","Integrate[((-22500*E^8)/x - 22500*E^20*x^3 + 22500*E^20*x^3*Log[x] - 900*E^10*x*Log[x]^2 + 900*E^10*x*Log[x]^3 + Log[x]^5 + (E^6*(-90000*E^5*x^3 + 22500*E^5*x^3*Log[x]))/x^3 + (E^4*(-135000*E^10*x^3 + 67500*E^10*x^3*Log[x] - 900*x*Log[x]^2))/x^2 + (E^2*(-90000*E^15*x^3 + 67500*E^15*x^3*Log[x] - 1800*E^5*x*Log[x]^2 + 900*E^5*x*Log[x]^3))/x)/Log[x]^5,x]","x+\frac{5625 e^8 \left(e^3 x+1\right)^4}{\log ^4(x)}+\frac{450 e^4 \left(e^3 x+1\right)^2}{\log ^2(x)}","9 \left(\frac{25 \left(\frac{e^2}{x}+e^5\right)^2 x^2}{\log ^2(x)}+1\right)^2+x",1,"x + (5625*E^8*(1 + E^3*x)^4)/Log[x]^4 + (450*E^4*(1 + E^3*x)^2)/Log[x]^2","A",1
149,1,20,20,0.0641587,"\int \frac{e^{\frac{9}{e^{10} \log ^2\left(e^5+x\right)}} (-18-18 \log (3))}{\left(e^{15}+e^{10} x\right) \log ^3\left(e^5+x\right)} \, dx","Integrate[(E^(9/(E^10*Log[E^5 + x]^2))*(-18 - 18*Log[3]))/((E^15 + E^10*x)*Log[E^5 + x]^3),x]","(1+\log (3)) e^{\frac{9}{e^{10} \log ^2\left(x+e^5\right)}}","(1+\log (3)) e^{\frac{9}{e^{10} \log ^2\left(x+e^5\right)}}",1,"E^(9/(E^10*Log[E^5 + x]^2))*(1 + Log[3])","A",1
150,1,20,20,0.8695641,"\int \frac{\exp \left(-\frac{2 x^2}{36+4 e^2+e (24-8 x)-24 x+4 x^2}\right) \left(1350+50 e^3+e^2 (450-150 x)-1350 x+300 x^2-50 x^3+e \left(1350-900 x+100 x^2\right)\right)}{27+e^3+e^2 (9-3 x)-27 x+9 x^2-x^3+e \left(27-18 x+3 x^2\right)} \, dx","Integrate[(1350 + 50*E^3 + E^2*(450 - 150*x) - 1350*x + 300*x^2 - 50*x^3 + E*(1350 - 900*x + 100*x^2))/(E^((2*x^2)/(36 + 4*E^2 + E*(24 - 8*x) - 24*x + 4*x^2))*(27 + E^3 + E^2*(9 - 3*x) - 27*x + 9*x^2 - x^3 + E*(27 - 18*x + 3*x^2))),x]","50 e^{-\frac{x^2}{2 (-x+e+3)^2}} x","50 e^{-\frac{x^2}{2 (-x+e+3)^2}} x",1,"(50*x)/E^(x^2/(2*(3 + E - x)^2))","A",1
151,1,32,33,0.024635,"\int \frac{e^{-\log ^2(x)} \left(25-48 x+42 x^2-16 x^3+5 x^4+\left(-50+48 x-28 x^2+8 x^3-2 x^4\right) \log (x)\right)}{4 \log (3)} \, dx","Integrate[(25 - 48*x + 42*x^2 - 16*x^3 + 5*x^4 + (-50 + 48*x - 28*x^2 + 8*x^3 - 2*x^4)*Log[x])/(4*E^Log[x]^2*Log[3]),x]","\frac{x \left(x^4-4 x^3+14 x^2-24 x+25\right) e^{-\log ^2(x)}}{\log (81)}","\frac{x \left(\left(\frac{1}{2} \left(-x^2-5\right)+x\right)^2-x\right) e^{-\log ^2(x)}}{\log (3)}",1,"(x*(25 - 24*x + 14*x^2 - 4*x^3 + x^4))/(E^Log[x]^2*Log[81])","A",1
152,1,28,33,1.0282904,"\int \frac{e^{\frac{4 x^3}{11 x-2 e^2 x-2 x^2+2 \log (x)}} \left(-8 x^2+88 x^3-16 e^2 x^3-8 x^4+24 x^2 \log (x)\right)}{121 x^2+4 e^4 x^2-44 x^3+4 x^4+e^2 \left(-44 x^2+8 x^3\right)+\left(44 x-8 e^2 x-8 x^2\right) \log (x)+4 \log ^2(x)} \, dx","Integrate[(E^((4*x^3)/(11*x - 2*E^2*x - 2*x^2 + 2*Log[x]))*(-8*x^2 + 88*x^3 - 16*E^2*x^3 - 8*x^4 + 24*x^2*Log[x]))/(121*x^2 + 4*E^4*x^2 - 44*x^3 + 4*x^4 + E^2*(-44*x^2 + 8*x^3) + (44*x - 8*E^2*x - 8*x^2)*Log[x] + 4*Log[x]^2),x]","e^{\frac{4 x^3}{-2 x^2-2 e^2 x+11 x+2 \log (x)}}","e^{\frac{2 x^2}{-x+\frac{\log (x)}{x}-e^2+\frac{11}{2}}}-\frac{4}{e^2}",1,"E^((4*x^3)/(11*x - 2*E^2*x - 2*x^2 + 2*Log[x]))","A",1
153,1,24,22,0.0289739,"\int \frac{-40 x^3+8 x^4+\left(-60 x^2-120 x^3+12 x^4+e \left(-20 x^6+4 x^7\right)\right) \log \left(5+10 x-x^2\right)+e \left(-30 x^5-60 x^6+6 x^7\right) \log ^2\left(5+10 x-x^2\right)}{e \left(-5-10 x+x^2\right)} \, dx","Integrate[(-40*x^3 + 8*x^4 + (-60*x^2 - 120*x^3 + 12*x^4 + E*(-20*x^6 + 4*x^7))*Log[5 + 10*x - x^2] + E*(-30*x^5 - 60*x^6 + 6*x^7)*Log[5 + 10*x - x^2]^2)/(E*(-5 - 10*x + x^2)),x]","\frac{\left(e x^3 \log \left(-x^2+10 x+5\right)+2\right)^2}{e^2}","\left(x^3 \log ((10-x) x+5)+\frac{2}{e}\right)^2",1,"(2 + E*x^3*Log[5 + 10*x - x^2])^2/E^2","A",1
154,1,24,25,0.8598966,"\int \frac{e^{x+x^2} \left(4 x+2 x^3-4 x^4+e^x \left(-2 x-x^2+2 x^4\right)+\left(-1-x-x^2+2 x^3\right) \log (4)\right)}{1-2 x+x^2} \, dx","Integrate[(E^(x + x^2)*(4*x + 2*x^3 - 4*x^4 + E^x*(-2*x - x^2 + 2*x^4) + (-1 - x - x^2 + 2*x^3)*Log[4]))/(1 - 2*x + x^2),x]","\frac{e^{x^2+x} x \left(\left(e^x-2\right) x+\log (4)\right)}{x-1}","\frac{e^{x^2+x} x \left(e^x x-2 x+\log (4)\right)}{x-1}",1,"(E^(x + x^2)*x*((-2 + E^x)*x + Log[4]))/(-1 + x)","A",1
155,1,29,25,0.194528,"\int \frac{1+e^x (1-x)+e^{5+x} (-2+x)}{5 e^{10+2 x}-10 e^{5+x} x+5 x^2} \, dx","Integrate[(1 + E^x*(1 - x) + E^(5 + x)*(-2 + x))/(5*E^(10 + 2*x) - 10*E^(5 + x)*x + 5*x^2),x]","\frac{-e^5 x+x+e^5}{5 e^5 \left(e^{x+5}-x\right)}","\frac{-x+e^x+1}{5 \left(e^{x+5}-x\right)}+8",1,"(E^5 + x - E^5*x)/(5*E^5*(E^(5 + x) - x))","A",1
156,1,28,25,0.0223543,"\int \frac{10602576-29160 x-2916 x^2+23328 \log (\log (12))+2916 \log ^2(\log (12))}{1-1454 x+528531 x^2-1454 x^3+x^4+\left(-4+2904 x+2904 x^2-4 x^3\right) \log (\log (12))+\left(6-1446 x+6 x^2\right) \log ^2(\log (12))+(-4-4 x) \log ^3(\log (12))+\log ^4(\log (12))} \, dx","Integrate[(10602576 - 29160*x - 2916*x^2 + 23328*Log[Log[12]] + 2916*Log[Log[12]]^2)/(1 - 1454*x + 528531*x^2 - 1454*x^3 + x^4 + (-4 + 2904*x + 2904*x^2 - 4*x^3)*Log[Log[12]] + (6 - 1446*x + 6*x^2)*Log[Log[12]]^2 + (-4 - 4*x)*Log[Log[12]]^3 + Log[Log[12]]^4),x]","\frac{2916 (x+5)}{x^2-x (727+2 \log (\log (12)))+(\log (\log (12))-1)^2}","\frac{4 (x+5)}{\frac{1}{729} (x+1-\log (\log (12)))^2-x}",1,"(2916*(5 + x))/(x^2 + (-1 + Log[Log[12]])^2 - x*(727 + 2*Log[Log[12]]))","A",1
157,0,0,30,4.0910284,"\int \frac{\left(-20+14 x-2 x^2+25 x^4-5 x^5+e^{2 x} \left(15 x^2+7 x^3-2 x^4\right)+e^x \left(40 x^3+2 x^4-2 x^5\right)+(-5+x) \log (4)\right) \log (x)+\left(-4+x+e^{2 x} x^2+2 e^x x^3+x^4-\log (4)+\left(4 x-x^2-e^{2 x} x^3-2 e^x x^4-x^5+x \log (4)\right) \log (x)\right) \log \left(-4 x+x^2+e^{2 x} x^3+2 e^x x^4+x^5-x \log (4)\right)+\left(-4+2 x+5 x^4+e^{2 x} \left(3 x^2+2 x^3\right)+e^x \left(8 x^3+2 x^4\right)-\log (4)\right) \log (x) \log (\log (x))}{\left(-4 x+x^2+e^{2 x} x^3+2 e^x x^4+x^5-x \log (4)\right) \log (x)} \, dx","Integrate[((-20 + 14*x - 2*x^2 + 25*x^4 - 5*x^5 + E^(2*x)*(15*x^2 + 7*x^3 - 2*x^4) + E^x*(40*x^3 + 2*x^4 - 2*x^5) + (-5 + x)*Log[4])*Log[x] + (-4 + x + E^(2*x)*x^2 + 2*E^x*x^3 + x^4 - Log[4] + (4*x - x^2 - E^(2*x)*x^3 - 2*E^x*x^4 - x^5 + x*Log[4])*Log[x])*Log[-4*x + x^2 + E^(2*x)*x^3 + 2*E^x*x^4 + x^5 - x*Log[4]] + (-4 + 2*x + 5*x^4 + E^(2*x)*(3*x^2 + 2*x^3) + E^x*(8*x^3 + 2*x^4) - Log[4])*Log[x]*Log[Log[x]])/((-4*x + x^2 + E^(2*x)*x^3 + 2*E^x*x^4 + x^5 - x*Log[4])*Log[x]),x]","\int \frac{\left(-20+14 x-2 x^2+25 x^4-5 x^5+e^{2 x} \left(15 x^2+7 x^3-2 x^4\right)+e^x \left(40 x^3+2 x^4-2 x^5\right)+(-5+x) \log (4)\right) \log (x)+\left(-4+x+e^{2 x} x^2+2 e^x x^3+x^4-\log (4)+\left(4 x-x^2-e^{2 x} x^3-2 e^x x^4-x^5+x \log (4)\right) \log (x)\right) \log \left(-4 x+x^2+e^{2 x} x^3+2 e^x x^4+x^5-x \log (4)\right)+\left(-4+2 x+5 x^4+e^{2 x} \left(3 x^2+2 x^3\right)+e^x \left(8 x^3+2 x^4\right)-\log (4)\right) \log (x) \log (\log (x))}{\left(-4 x+x^2+e^{2 x} x^3+2 e^x x^4+x^5-x \log (4)\right) \log (x)} \, dx","\log \left(x \left(x^2 \left(x+e^x\right)^2+x-4-\log (4)\right)\right) (-x+\log (\log (x))+5)",1,"Integrate[((-20 + 14*x - 2*x^2 + 25*x^4 - 5*x^5 + E^(2*x)*(15*x^2 + 7*x^3 - 2*x^4) + E^x*(40*x^3 + 2*x^4 - 2*x^5) + (-5 + x)*Log[4])*Log[x] + (-4 + x + E^(2*x)*x^2 + 2*E^x*x^3 + x^4 - Log[4] + (4*x - x^2 - E^(2*x)*x^3 - 2*E^x*x^4 - x^5 + x*Log[4])*Log[x])*Log[-4*x + x^2 + E^(2*x)*x^3 + 2*E^x*x^4 + x^5 - x*Log[4]] + (-4 + 2*x + 5*x^4 + E^(2*x)*(3*x^2 + 2*x^3) + E^x*(8*x^3 + 2*x^4) - Log[4])*Log[x]*Log[Log[x]])/((-4*x + x^2 + E^(2*x)*x^3 + 2*E^x*x^4 + x^5 - x*Log[4])*Log[x]), x]","F",-1
158,1,27,20,0.0385461,"\int \frac{-12+2 x^3+e^x \left(-8 x+8 x^2+2 x^3+e^4 \left(-2 x+2 x^2\right)\right)}{x^3} \, dx","Integrate[(-12 + 2*x^3 + E^x*(-8*x + 8*x^2 + 2*x^3 + E^4*(-2*x + 2*x^2)))/x^3,x]","2 \left(\frac{e^x \left(x^2+\left(4+e^4\right) x\right)}{x^2}+\frac{3}{x^2}+x\right)","\frac{2 \left(x \left(x+e^4+4\right) \left(x+e^x\right)+3\right)}{x^2}",1,"2*(3/x^2 + x + (E^x*((4 + E^4)*x + x^2))/x^2)","A",1
159,1,48,30,0.0413308,"\int \frac{\left(-120 x^2+240 x^3-40 x^4+e \left(24-24 x^2-16 x^3\right)\right) \log (2)}{225 x^2-150 x^3+25 x^4+e^2 \left(1+2 x+x^2\right)+e \left(-30 x-20 x^2+10 x^3\right)} \, dx","Integrate[((-120*x^2 + 240*x^3 - 40*x^4 + E*(24 - 24*x^2 - 16*x^3))*Log[2])/(225*x^2 - 150*x^3 + 25*x^4 + E^2*(1 + 2*x + x^2) + E*(-30*x - 20*x^2 + 10*x^3)),x]","-8 \left(\frac{e^2 x-35 e x+150 x+e^2-15 e}{25 \left(5 x^2+e x-15 x+e\right)}+\frac{x}{5}\right) \log (2)","\frac{8 x \left(3-x^2\right) \log (2)}{e-(5 (3-x)-e) x}",1,"-8*(x/5 + (-15*E + E^2 + 150*x - 35*E*x + E^2*x)/(25*(E - 15*x + E*x + 5*x^2)))*Log[2]","A",1
160,0,0,28,1.7037599,"\int \frac{\exp \left(\frac{2 \left(3 x-3 x^3+\left(x-x^3\right) \log (4) \log \left(x^2\right)\right)}{8+3 x+x \log (4) \log \left(x^2\right)}\right) \left(48-144 x^2-36 x^3+\left(32-32 x^2\right) \log (4)+\left(16-48 x^2-24 x^3\right) \log (4) \log \left(x^2\right)-4 x^3 \log ^2(4) \log ^2\left(x^2\right)\right)}{64+48 x+9 x^2+\left(16 x+6 x^2\right) \log (4) \log \left(x^2\right)+x^2 \log ^2(4) \log ^2\left(x^2\right)} \, dx","Integrate[(E^((2*(3*x - 3*x^3 + (x - x^3)*Log[4]*Log[x^2]))/(8 + 3*x + x*Log[4]*Log[x^2]))*(48 - 144*x^2 - 36*x^3 + (32 - 32*x^2)*Log[4] + (16 - 48*x^2 - 24*x^3)*Log[4]*Log[x^2] - 4*x^3*Log[4]^2*Log[x^2]^2))/(64 + 48*x + 9*x^2 + (16*x + 6*x^2)*Log[4]*Log[x^2] + x^2*Log[4]^2*Log[x^2]^2),x]","\int \frac{\exp \left(\frac{2 \left(3 x-3 x^3+\left(x-x^3\right) \log (4) \log \left(x^2\right)\right)}{8+3 x+x \log (4) \log \left(x^2\right)}\right) \left(48-144 x^2-36 x^3+\left(32-32 x^2\right) \log (4)+\left(16-48 x^2-24 x^3\right) \log (4) \log \left(x^2\right)-4 x^3 \log ^2(4) \log ^2\left(x^2\right)\right)}{64+48 x+9 x^2+\left(16 x+6 x^2\right) \log (4) \log \left(x^2\right)+x^2 \log ^2(4) \log ^2\left(x^2\right)} \, dx","e^{\frac{2 \left(x-x^3\right)}{\frac{8}{\log (4) \log \left(x^2\right)+3}+x}}",1,"Integrate[(E^((2*(3*x - 3*x^3 + (x - x^3)*Log[4]*Log[x^2]))/(8 + 3*x + x*Log[4]*Log[x^2]))*(48 - 144*x^2 - 36*x^3 + (32 - 32*x^2)*Log[4] + (16 - 48*x^2 - 24*x^3)*Log[4]*Log[x^2] - 4*x^3*Log[4]^2*Log[x^2]^2))/(64 + 48*x + 9*x^2 + (16*x + 6*x^2)*Log[4]*Log[x^2] + x^2*Log[4]^2*Log[x^2]^2), x]","F",-1
161,1,20,20,0.5559364,"\int \frac{e^{e^{2 x^2}} \left(16+8 x-7 x^2-2 x^3+x^4\right)^{e^{e^{2 x^2}}} \left(-2+4 x+e^{2 x^2} \left(-16 x-4 x^2+4 x^3\right) \log \left(16+8 x-7 x^2-2 x^3+x^4\right)\right)}{-4-x+x^2} \, dx","Integrate[(E^E^(2*x^2)*(16 + 8*x - 7*x^2 - 2*x^3 + x^4)^E^E^(2*x^2)*(-2 + 4*x + E^(2*x^2)*(-16*x - 4*x^2 + 4*x^3)*Log[16 + 8*x - 7*x^2 - 2*x^3 + x^4]))/(-4 - x + x^2),x]","\left(\left(-x^2+x+4\right)^2\right)^{e^{e^{2 x^2}}}","\left(\left(-x^2+x+4\right)^2\right)^{e^{e^{2 x^2}}}",1,"((4 + x - x^2)^2)^E^E^(2*x^2)","A",1
162,1,24,19,0.0110708,"\int \left(1+e^x \left(4800 x+2400 x^2\right) \log (5)+\left(3+7200 x^2\right) \log (5)\right) \, dx","Integrate[1 + E^x*(4800*x + 2400*x^2)*Log[5] + (3 + 7200*x^2)*Log[5],x]","2400 x^3 \log (5)+2400 e^x x^2 \log (5)+x+3 x \log (5)","3 \left(800 \left(x+e^x\right) x^2+x\right) \log (5)+x-3",1,"x + 3*x*Log[5] + 2400*E^x*x^2*Log[5] + 2400*x^3*Log[5]","A",1
163,1,16,15,0.0651905,"\int \frac{e^{-2 x} \left(-100-240 x-40 x^2\right)}{25 x^2+10 x^3+x^4} \, dx","Integrate[(-100 - 240*x - 40*x^2)/(E^(2*x)*(25*x^2 + 10*x^3 + x^4)),x]","\frac{20 e^{-2 x}}{x^2+5 x}","\frac{20 e^{-2 x}}{x (x+5)}",1,"20/(E^(2*x)*(5*x + x^2))","A",1
164,1,36,32,0.0743982,"\int \frac{-18 x^4-24 x^5-8 x^6+e^{10} \left(-18-24 x-8 x^2\right)+e^5 \left(36 x^2+48 x^3+16 x^4\right)+\left(e^{10} (-18-12 x)+108 x^4+156 x^5+56 x^6+e^5 \left(-90 x^2-144 x^3-56 x^4\right)\right) \log (x)+\left(-180 x^4-360 x^5-160 x^6+e^5 \left(120 x^3+80 x^4\right)\right) \log ^2(x)+\left(450 x^4+900 x^5+400 x^6\right) \log ^3(x)}{25 x^3 \log ^3(x)} \, dx","Integrate[(-18*x^4 - 24*x^5 - 8*x^6 + E^10*(-18 - 24*x - 8*x^2) + E^5*(36*x^2 + 48*x^3 + 16*x^4) + (E^10*(-18 - 12*x) + 108*x^4 + 156*x^5 + 56*x^6 + E^5*(-90*x^2 - 144*x^3 - 56*x^4))*Log[x] + (-180*x^4 - 360*x^5 - 160*x^6 + E^5*(120*x^3 + 80*x^4))*Log[x]^2 + (450*x^4 + 900*x^5 + 400*x^6)*Log[x]^3)/(25*x^3*Log[x]^3),x]","\frac{(2 x+3)^2 \left(-x^2+5 x^2 \log (x)+e^5\right)^2}{25 x^2 \log ^2(x)}","(2 x+3)^2 \left(\frac{x-\frac{e^5}{x}}{5 \log (x)}-x\right)^2",1,"((3 + 2*x)^2*(E^5 - x^2 + 5*x^2*Log[x])^2)/(25*x^2*Log[x]^2)","A",1
165,1,21,26,0.0505789,"\int \frac{7+10 x+2 e^x x+6 x^2+\left(10 x+12 x^2+e^x \left(2 x+2 x^2\right)\right) \log (x)}{12 x} \, dx","Integrate[(7 + 10*x + 2*E^x*x + 6*x^2 + (10*x + 12*x^2 + E^x*(2*x + 2*x^2))*Log[x])/(12*x),x]","\frac{1}{12} \left(6 x^2+2 \left(e^x+5\right) x+7\right) \log (x)","\frac{1}{2} x \left(\frac{1}{3} \left(e^x+\frac{7}{2 x}-4\right)+x+3\right) \log (x)",1,"((7 + 2*(5 + E^x)*x + 6*x^2)*Log[x])/12","A",1
166,1,30,32,0.0958022,"\int \frac{-15-258 x-79 x^2+40 x^3+12 x^4+e^x \left(-45-30 x-5 x^2\right)}{45+30 x+5 x^2} \, dx","Integrate[(-15 - 258*x - 79*x^2 + 40*x^3 + 12*x^4 + E^x*(-45 - 30*x - 5*x^2))/(45 + 30*x + 5*x^2),x]","\frac{1}{5} \left(4 x^3-16 x^2+5 x-5 e^x+\frac{60}{x+3}\right)","4 \left(\frac{3}{x+3}-\frac{1}{5} (4-x) x^2\right)+x-e^x-2+\log (6)",1,"(-5*E^x + 5*x - 16*x^2 + 4*x^3 + 60/(3 + x))/5","A",1
167,1,28,30,1.91459,"\int \frac{-1024+13760 x^2-75025 x^4+193500 x^6-202500 x^8+e^{x+\frac{25 e^x x^2}{32-215 x^2+450 x^4}} \left(1600 x+800 x^2-5375 x^4-22500 x^5+11250 x^6\right)}{1024-13760 x^2+75025 x^4-193500 x^6+202500 x^8} \, dx","Integrate[(-1024 + 13760*x^2 - 75025*x^4 + 193500*x^6 - 202500*x^8 + E^(x + (25*E^x*x^2)/(32 - 215*x^2 + 450*x^4))*(1600*x + 800*x^2 - 5375*x^4 - 22500*x^5 + 11250*x^6))/(1024 - 13760*x^2 + 75025*x^4 - 193500*x^6 + 202500*x^8),x]","e^{\frac{25 e^x x^2}{450 x^4-215 x^2+32}}-x","e^{\frac{5 e^x}{10 \left(\frac{4}{5 x}-3 x\right)^2+5}}-x",1,"E^((25*E^x*x^2)/(32 - 215*x^2 + 450*x^4)) - x","A",1
168,1,25,27,0.0520955,"\int \frac{\left(-2+(4+2 x) \log (4 x)+2 x \log (4 x) \log \left(\frac{e^{-x} \log (4 x)}{x^2}\right)\right) \log \left(-2+x-\log \left(\log \left(\frac{e^{-x} \log (4 x)}{x^2}\right)\right)\right)}{\left(2 x-x^2\right) \log (4 x) \log \left(\frac{e^{-x} \log (4 x)}{x^2}\right)+x \log (4 x) \log \left(\frac{e^{-x} \log (4 x)}{x^2}\right) \log \left(\log \left(\frac{e^{-x} \log (4 x)}{x^2}\right)\right)} \, dx","Integrate[((-2 + (4 + 2*x)*Log[4*x] + 2*x*Log[4*x]*Log[Log[4*x]/(E^x*x^2)])*Log[-2 + x - Log[Log[Log[4*x]/(E^x*x^2)]]])/((2*x - x^2)*Log[4*x]*Log[Log[4*x]/(E^x*x^2)] + x*Log[4*x]*Log[Log[4*x]/(E^x*x^2)]*Log[Log[Log[4*x]/(E^x*x^2)]]),x]","-\log ^2\left(-\log \left(\log \left(\frac{e^{-x} \log (4 x)}{x^2}\right)\right)+x-2\right)","5-\log ^2\left(-\log \left(\log \left(\frac{e^{-x} \log (4 x)}{x^2}\right)\right)+x-2\right)",1,"-Log[-2 + x - Log[Log[Log[4*x]/(E^x*x^2)]]]^2","A",1
169,1,46,29,0.017618,"\int \frac{384 x^2+288 x^3+112 x^4-84 x^5+40 x^6+10 x^7}{128+96 x+24 x^2+2 x^3+\left(64+48 x+12 x^2+x^3\right) \log (3)} \, dx","Integrate[(384*x^2 + 288*x^3 + 112*x^4 - 84*x^5 + 40*x^6 + 10*x^7)/(128 + 96*x + 24*x^2 + 2*x^3 + (64 + 48*x + 12*x^2 + x^3)*Log[3]),x]","\frac{2 \left(x^7-2 x^6+2 x^5+8 x^4+16 x^3+29888 x^2+239104 x+478208\right)}{(x+4)^2 (2+\log (3))}","\frac{2 x^2 \left(\frac{x \left(x^2-x\right)^2}{(x+4)^2}+x\right)}{2+\log (3)}",1,"(2*(478208 + 239104*x + 29888*x^2 + 16*x^3 + 8*x^4 + 2*x^5 - 2*x^6 + x^7))/((4 + x)^2*(2 + Log[3]))","A",1
170,1,146,19,0.1477122,"\int \frac{57460436295776367187500 x^{15}+148439460430755615234375 x^{15} \log \left(\frac{x^2}{4}\right)+167592939196014404296875 x^{15} \log ^2\left(\frac{x^2}{4}\right)+108004338592987060546875 x^{15} \log ^3\left(\frac{x^2}{4}\right)+43450021273040771484375 x^{15} \log ^4\left(\frac{x^2}{4}\right)+11172862613067626953125 x^{15} \log ^5\left(\frac{x^2}{4}\right)+1793175481109619140625 x^{15} \log ^6\left(\frac{x^2}{4}\right)+164210208892822265625 x^{15} \log ^7\left(\frac{x^2}{4}\right)+6568408355712890625 x^{15} \log ^8\left(\frac{x^2}{4}\right)}{295147905179352825856} \, dx","Integrate[(57460436295776367187500*x^15 + 148439460430755615234375*x^15*Log[x^2/4] + 167592939196014404296875*x^15*Log[x^2/4]^2 + 108004338592987060546875*x^15*Log[x^2/4]^3 + 43450021273040771484375*x^15*Log[x^2/4]^4 + 11172862613067626953125*x^15*Log[x^2/4]^5 + 1793175481109619140625*x^15*Log[x^2/4]^6 + 164210208892822265625*x^15*Log[x^2/4]^7 + 6568408355712890625*x^15*Log[x^2/4]^8)/295147905179352825856,x]","\frac{6568408355712890625 \left(\frac{6561 x^{16}}{16}+\frac{1}{16} x^{16} \log ^8\left(\frac{x^2}{4}\right)+\frac{3}{2} x^{16} \log ^7\left(\frac{x^2}{4}\right)+\frac{63}{4} x^{16} \log ^6\left(\frac{x^2}{4}\right)+\frac{189}{2} x^{16} \log ^5\left(\frac{x^2}{4}\right)+\frac{2835}{8} x^{16} \log ^4\left(\frac{x^2}{4}\right)+\frac{1701}{2} x^{16} \log ^3\left(\frac{x^2}{4}\right)+\frac{5103}{4} x^{16} \log ^2\left(\frac{x^2}{4}\right)+\frac{2187}{2} x^{16} \log \left(\frac{x^2}{4}\right)\right)}{295147905179352825856}","\frac{6568408355712890625 x^{16} \left(\log \left(\frac{x^2}{4}\right)+3\right)^8}{4722366482869645213696}",1,"(6568408355712890625*((6561*x^16)/16 + (2187*x^16*Log[x^2/4])/2 + (5103*x^16*Log[x^2/4]^2)/4 + (1701*x^16*Log[x^2/4]^3)/2 + (2835*x^16*Log[x^2/4]^4)/8 + (189*x^16*Log[x^2/4]^5)/2 + (63*x^16*Log[x^2/4]^6)/4 + (3*x^16*Log[x^2/4]^7)/2 + (x^16*Log[x^2/4]^8)/16))/295147905179352825856","B",1
171,1,18,25,0.0124141,"\int \frac{-30+384 e^4-165 x-80 x^2}{-25+384 e^4-5 x-80 x^2} \, dx","Integrate[(-30 + 384*E^4 - 165*x - 80*x^2)/(-25 + 384*E^4 - 5*x - 80*x^2),x]","\log \left(80 x^2+5 x-384 e^4+25\right)+x","\log \left(4 \left(x^2-\frac{24 e^4}{5}\right)+\frac{x+1}{4}+1\right)+x",1,"x + Log[25 - 384*E^4 + 5*x + 80*x^2]","A",1
172,1,9,12,0.0053159,"\int -\frac{2400 e^{\frac{400-20 x^6}{x^6}}}{x^7} \, dx","Integrate[(-2400*E^((400 - 20*x^6)/x^6))/x^7,x]","e^{\frac{400}{x^6}-20}","e^{\frac{400}{x^6}-20}+\log (25)",1,"E^(-20 + 400/x^6)","A",1
173,1,20,24,0.2432335,"\int \frac{-8+e^{2+\frac{4-8 x+4 x^2}{4-4 x+x^2}} (8-8 x)+12 x-6 x^2+x^3}{-8+12 x-6 x^2+x^3} \, dx","Integrate[(-8 + E^(2 + (4 - 8*x + 4*x^2)/(4 - 4*x + x^2))*(8 - 8*x) + 12*x - 6*x^2 + x^3)/(-8 + 12*x - 6*x^2 + x^3),x]","x+e^{\frac{8}{x-2}+\frac{4}{(x-2)^2}+6}","e^2 \left(e^{\left(1-\frac{x}{2-x}\right)^2}-4\right)+x",1,"E^(6 + 4/(-2 + x)^2 + 8/(-2 + x)) + x","A",1
174,1,29,29,3.8344962,"\int \frac{e^{\frac{e^{e^x}-e^x-2 x-x^2+x^2 \log (\log (x))}{x}} \left(x^2+e^{e^x} \left(-1+e^x x\right) \log (x)+\left(e^x (1-x)-x^2\right) \log (x)+x^2 \log (x) \log (\log (x))\right)}{x^2 \log (x)} \, dx","Integrate[(E^((E^E^x - E^x - 2*x - x^2 + x^2*Log[Log[x]])/x)*(x^2 + E^E^x*(-1 + E^x*x)*Log[x] + (E^x*(1 - x) - x^2)*Log[x] + x^2*Log[x]*Log[Log[x]]))/(x^2*Log[x]),x]","e^{-x+\frac{e^{e^x}}{x}-\frac{e^x}{x}-2} \log ^x(x)","e^{\frac{-2 x+e^{e^x}-e^x}{x}-x+x \log (\log (x))}",1,"E^(-2 + E^E^x/x - E^x/x - x)*Log[x]^x","A",1
175,1,24,26,0.0221202,"\int \frac{e^{-e^3+4 e^4-4 x} \left(-e^{e^3-4 e^4+4 x}-60 e^{3+x} x\right)}{x} \, dx","Integrate[(E^(-E^3 + 4*E^4 - 4*x)*(-E^(E^3 - 4*E^4 + 4*x) - 60*E^(3 + x)*x))/x,x]","20 e^{-3 x+4 e^4-e^3+3}-\log (x)","20 e^{x-4 \left(x-e^4\right)-e^3+3}-\log (x)",1,"20*E^(3 - E^3 + 4*E^4 - 3*x) - Log[x]","A",1
176,1,26,24,12.8933296,"\int \frac{\exp \left(3-\exp \left(e^{-\frac{4}{\log (x)}} \left(x+e^{\frac{4}{\log (x)}} \left(65536+512 x+x^2\right)\right)\right)+e^{-\frac{4}{\log (x)}} \left(x+e^{\frac{4}{\log (x)}} \left(65536+512 x+x^2\right)\right)-\frac{4}{\log (x)}\right) \left(-4-\log ^2(x)+e^{\frac{4}{\log (x)}} (-512-2 x) \log ^2(x)\right)}{\log ^2(x)} \, dx","Integrate[(E^(3 - E^((x + E^(4/Log[x])*(65536 + 512*x + x^2))/E^(4/Log[x])) + (x + E^(4/Log[x])*(65536 + 512*x + x^2))/E^(4/Log[x]) - 4/Log[x])*(-4 - Log[x]^2 + E^(4/Log[x])*(-512 - 2*x)*Log[x]^2))/Log[x]^2,x]","e^{3-e^{x^2+512 x+x e^{-\frac{4}{\log (x)}}+65536}}","e^{3-e^{(x+256)^2+x e^{-\frac{4}{\log (x)}}}}",1,"E^(3 - E^(65536 + 512*x + x/E^(4/Log[x]) + x^2))","A",1
177,1,47,27,0.4938998,"\int \left(\exp \left(32 x^4-64 e^{-2+x} x^4+48 e^{-4+2 x} x^4-16 e^{-6+3 x} x^4+2 e^{-8+4 x} x^4\right) \left(128 x^3+e^{-2+x} \left(-256 x^3-64 x^4\right)+e^{-6+3 x} \left(-64 x^3-48 x^4\right)+e^{-8+4 x} \left(8 x^3+8 x^4\right)+e^{-4+2 x} \left(192 x^3+96 x^4\right)\right)+\exp \left(16 x^4-32 e^{-2+x} x^4+24 e^{-4+2 x} x^4-8 e^{-6+3 x} x^4+e^{-8+4 x} x^4\right) \left(2048 x^3-128 x^3 \log (2)+e^{-4+2 x} \left(3072 x^3+1536 x^4+\left(-192 x^3-96 x^4\right) \log (2)\right)+e^{-8+4 x} \left(128 x^3+128 x^4+\left(-8 x^3-8 x^4\right) \log (2)\right)+e^{-6+3 x} \left(-1024 x^3-768 x^4+\left(64 x^3+48 x^4\right) \log (2)\right)+e^{-2+x} \left(-4096 x^3-1024 x^4+\left(256 x^3+64 x^4\right) \log (2)\right)\right)\right) \, dx","Integrate[E^(32*x^4 - 64*E^(-2 + x)*x^4 + 48*E^(-4 + 2*x)*x^4 - 16*E^(-6 + 3*x)*x^4 + 2*E^(-8 + 4*x)*x^4)*(128*x^3 + E^(-2 + x)*(-256*x^3 - 64*x^4) + E^(-6 + 3*x)*(-64*x^3 - 48*x^4) + E^(-8 + 4*x)*(8*x^3 + 8*x^4) + E^(-4 + 2*x)*(192*x^3 + 96*x^4)) + E^(16*x^4 - 32*E^(-2 + x)*x^4 + 24*E^(-4 + 2*x)*x^4 - 8*E^(-6 + 3*x)*x^4 + E^(-8 + 4*x)*x^4)*(2048*x^3 - 128*x^3*Log[2] + E^(-4 + 2*x)*(3072*x^3 + 1536*x^4 + (-192*x^3 - 96*x^4)*Log[2]) + E^(-8 + 4*x)*(128*x^3 + 128*x^4 + (-8*x^3 - 8*x^4)*Log[2]) + E^(-6 + 3*x)*(-1024*x^3 - 768*x^4 + (64*x^3 + 48*x^4)*Log[2]) + E^(-2 + x)*(-4096*x^3 - 1024*x^4 + (256*x^3 + 64*x^4)*Log[2])),x]","e^{\frac{\left(e^x-2 e^2\right)^4 x^4}{e^8}} \left(e^{\frac{\left(e^x-2 e^2\right)^4 x^4}{e^8}}+32-\log (4)\right)","\left(e^{\left(\left(5-e^{x-2}\right) x-3 x\right)^4}+16-\log (2)\right)^2",1,"E^(((-2*E^2 + E^x)^4*x^4)/E^8)*(32 + E^(((-2*E^2 + E^x)^4*x^4)/E^8) - Log[4])","A",1
178,1,33,28,0.3430872,"\int \frac{1}{2} e^{e^{\frac{2-x}{2}}-e^{2 x^3+2 e^x x^3+2 x^3 \log (x)}} \left(-e^{\frac{2-x}{2}}+e^{2 x^3+2 e^x x^3+2 x^3 \log (x)} \left(-16 x^2+e^x \left(-12 x^2-4 x^3\right)-12 x^2 \log (x)\right)\right) \, dx","Integrate[(E^(E^((2 - x)/2) - E^(2*x^3 + 2*E^x*x^3 + 2*x^3*Log[x]))*(-E^((2 - x)/2) + E^(2*x^3 + 2*E^x*x^3 + 2*x^3*Log[x])*(-16*x^2 + E^x*(-12*x^2 - 4*x^3) - 12*x^2*Log[x])))/2,x]","e^{e^{1-\frac{x}{2}}-e^{2 \left(e^x+1\right) x^3} x^{2 x^3}}","e^{e^{1-\frac{x}{2}}-e^{2 x^3 \left(e^x+\log (x)+1\right)}}",1,"E^(E^(1 - x/2) - E^(2*(1 + E^x)*x^3)*x^(2*x^3))","A",1
179,1,20,23,0.0313024,"\int \frac{2 x^2-4 x^5+\left(-2 x^2+4 x^4\right) \log (x)+\left(2-4 x^3+\left(-2+4 x^2\right) \log (x)\right) \log \left(\frac{-3 e^5 x+3 e^5 \log (x)}{2 x}\right)}{-x^2+x \log (x)} \, dx","Integrate[(2*x^2 - 4*x^5 + (-2*x^2 + 4*x^4)*Log[x] + (2 - 4*x^3 + (-2 + 4*x^2)*Log[x])*Log[(-3*E^5*x + 3*E^5*Log[x])/(2*x)])/(-x^2 + x*Log[x]),x]","\left(x^2+\log \left(\frac{3}{2} \left(\frac{\log (x)}{x}-1\right)\right)+5\right)^2","\left(x^2+\log \left(\frac{3 e^5 (\log (x)-x)}{2 x}\right)\right)^2",1,"(5 + x^2 + Log[(3*(-1 + Log[x]/x))/2])^2","A",1
180,1,5,10,0.000063,"\int 4 x \, dx","Integrate[4*x,x]","2 x^2","2 x^2+22 e+2",1,"2*x^2","A",1
181,1,8,8,0.0012668,"\int -\frac{1}{e^{253} x \log ^2(x)} \, dx","Integrate[-(1/(E^253*x*Log[x]^2)),x]","\frac{1}{e^{253} \log (x)}","\frac{1}{e^{253} \log (x)}",1,"1/(E^253*Log[x])","A",1
182,1,89,26,0.0588591,"\int \frac{-32 x^7-12 x^8+16 x^9+e^2 \left(144 x^3+576 x^5+576 x^7\right)+e \left(240 x^4+72 x^5+192 x^6+96 x^7-192 x^8\right)}{x^6+e^2 \left(9+36 x^2+36 x^4\right)+e \left(-6 x^3-12 x^5\right)} \, dx","Integrate[(-32*x^7 - 12*x^8 + 16*x^9 + E^2*(144*x^3 + 576*x^5 + 576*x^7) + E*(240*x^4 + 72*x^5 + 192*x^6 + 96*x^7 - 192*x^8))/(x^6 + E^2*(9 + 36*x^2 + 36*x^4) + E*(-6*x^3 - 12*x^5)),x]","\frac{4 \left(3 e \left(2 x^3+x-1\right) x^3+648 e^4 \left(2 x^2+1\right)+\left(-x^2+x+4\right) x^5+e^2 \left(-144 x^3+18 x^2+9\right)-216 e^3 \left(x^3-4 x^2-2\right)\right)}{e \left(6 x^2+3\right)-x^3}","4 x^3 \left(x-\frac{x+4}{x-e \left(\frac{3}{x^2}+6\right)}\right)",1,"(4*(x^5*(4 + x - x^2) + 648*E^4*(1 + 2*x^2) + E^2*(9 + 18*x^2 - 144*x^3) - 216*E^3*(-2 - 4*x^2 + x^3) + 3*E*x^3*(-1 + x + 2*x^3)))/(-x^3 + E*(3 + 6*x^2))","B",1
183,1,43,28,0.138811,"\int \frac{\exp \left(\frac{16-8 x+7 x^3+x^6+\left(8 x+2 x^4\right) \log \left(\frac{16 x}{3}\right)+x^2 \log ^2\left(\frac{16 x}{3}\right)}{x^2}\right) \left(-32+16 x+7 x^3+2 x^4+4 x^6+\left(-8 x+2 x^2+4 x^4\right) \log \left(\frac{16 x}{3}\right)\right)}{x^3} \, dx","Integrate[(E^((16 - 8*x + 7*x^3 + x^6 + (8*x + 2*x^4)*Log[(16*x)/3] + x^2*Log[(16*x)/3]^2)/x^2)*(-32 + 16*x + 7*x^3 + 2*x^4 + 4*x^6 + (-8*x + 2*x^2 + 4*x^4)*Log[(16*x)/3]))/x^3,x]","\exp \left(x^4+\frac{2 \left(x^3+4\right) \log \left(\frac{16 x}{3}\right)}{x}+\frac{16}{x^2}+7 x-\frac{8}{x}+\log ^2\left(\frac{16 x}{3}\right)\right)","e^{\left(x^2+\frac{4}{x}+\log \left(\frac{16 x}{3}\right)\right)^2-x-\frac{8}{x}}",1,"E^(16/x^2 - 8/x + 7*x + x^4 + (2*(4 + x^3)*Log[(16*x)/3])/x + Log[(16*x)/3]^2)","A",1
184,1,31,29,0.1122021,"\int \frac{-60+90 x-x^3+2 e^{2 x} x^3+2 x^4+e^x \left(-2 x^3-2 x^4\right)+\left(-30 x+2 x^2-4 e^{2 x} x^2-4 x^3+e^x \left(4 x^2+4 x^3\right)\right) \log (x)+\left(-x+2 e^{2 x} x+2 x^2+e^x \left(-2 x-2 x^2\right)\right) \log ^2(x)}{x^3-2 x^2 \log (x)+x \log ^2(x)} \, dx","Integrate[(-60 + 90*x - x^3 + 2*E^(2*x)*x^3 + 2*x^4 + E^x*(-2*x^3 - 2*x^4) + (-30*x + 2*x^2 - 4*E^(2*x)*x^2 - 4*x^3 + E^x*(4*x^2 + 4*x^3))*Log[x] + (-x + 2*E^(2*x)*x + 2*x^2 + E^x*(-2*x - 2*x^2))*Log[x]^2)/(x^3 - 2*x^2*Log[x] + x*Log[x]^2),x]","x^2-2 e^x x-x+e^{2 x}-\frac{30 (x-2)}{\log (x)-x}","\left(e^x-x\right)^2-x-\frac{15 (4-2 x)}{x-\log (x)}-2",1,"E^(2*x) - x - 2*E^x*x + x^2 - (30*(-2 + x))/(-x + Log[x])","A",1
185,1,33,29,0.2336461,"\int \frac{-90-60 x-10 x^2+\left(-405-270 x-120 x^2\right) \log (4)+e^x \left(-225+75 x+75 x^2\right) \log (4)}{54 x^2+36 x^3+6 x^4} \, dx","Integrate[(-90 - 60*x - 10*x^2 + (-405 - 270*x - 120*x^2)*Log[4] + E^x*(-225 + 75*x + 75*x^2)*Log[4])/(54*x^2 + 36*x^3 + 6*x^4),x]","\frac{5 \left(x (2+24 \log (4))+15 e^x \log (4)+6+6 \log (512)\right)}{6 x (x+3)}","\frac{5 \left(\frac{1}{2} \left(\frac{5 \left(x+e^x\right)}{x+3}+3\right) \log (4)+\frac{1}{3}\right)}{x}",1,"(5*(6 + 15*E^x*Log[4] + x*(2 + 24*Log[4]) + 6*Log[512]))/(6*x*(3 + x))","A",1
186,1,44,17,0.1098093,"\int \frac{-16 x^7+8 x^8-4 x^{11}+\left(112 x^6-56 x^7+40 x^{10}\right) \log \left(x^2 \log (3)\right)+\left(-336 x^5+168 x^6-180 x^9\right) \log ^2\left(x^2 \log (3)\right)+\left(560 x^4-280 x^5+480 x^8\right) \log ^3\left(x^2 \log (3)\right)+\left(-560 x^3+280 x^4-840 x^7\right) \log ^4\left(x^2 \log (3)\right)+\left(336 x^2-168 x^3+1008 x^6\right) \log ^5\left(x^2 \log (3)\right)+\left(-112 x+56 x^2-840 x^5\right) \log ^6\left(x^2 \log (3)\right)+\left(16-8 x+480 x^4\right) \log ^7\left(x^2 \log (3)\right)-180 x^3 \log ^8\left(x^2 \log (3)\right)+40 x^2 \log ^9\left(x^2 \log (3)\right)-4 x \log ^{10}\left(x^2 \log (3)\right)}{x+5 x^4+10 x^7+10 x^{10}+5 x^{13}+x^{16}+\left(-10 x^3-40 x^6-60 x^9-40 x^{12}-10 x^{15}\right) \log \left(x^2 \log (3)\right)+\left(5 x^2+60 x^5+150 x^8+140 x^{11}+45 x^{14}\right) \log ^2\left(x^2 \log (3)\right)+\left(-40 x^4-200 x^7-280 x^{10}-120 x^{13}\right) \log ^3\left(x^2 \log (3)\right)+\left(10 x^3+150 x^6+350 x^9+210 x^{12}\right) \log ^4\left(x^2 \log (3)\right)+\left(-60 x^5-280 x^8-252 x^{11}\right) \log ^5\left(x^2 \log (3)\right)+\left(10 x^4+140 x^7+210 x^{10}\right) \log ^6\left(x^2 \log (3)\right)+\left(-40 x^6-120 x^9\right) \log ^7\left(x^2 \log (3)\right)+\left(5 x^5+45 x^8\right) \log ^8\left(x^2 \log (3)\right)-10 x^7 \log ^9\left(x^2 \log (3)\right)+x^6 \log ^{10}\left(x^2 \log (3)\right)} \, dx","Integrate[(-16*x^7 + 8*x^8 - 4*x^11 + (112*x^6 - 56*x^7 + 40*x^10)*Log[x^2*Log[3]] + (-336*x^5 + 168*x^6 - 180*x^9)*Log[x^2*Log[3]]^2 + (560*x^4 - 280*x^5 + 480*x^8)*Log[x^2*Log[3]]^3 + (-560*x^3 + 280*x^4 - 840*x^7)*Log[x^2*Log[3]]^4 + (336*x^2 - 168*x^3 + 1008*x^6)*Log[x^2*Log[3]]^5 + (-112*x + 56*x^2 - 840*x^5)*Log[x^2*Log[3]]^6 + (16 - 8*x + 480*x^4)*Log[x^2*Log[3]]^7 - 180*x^3*Log[x^2*Log[3]]^8 + 40*x^2*Log[x^2*Log[3]]^9 - 4*x*Log[x^2*Log[3]]^10)/(x + 5*x^4 + 10*x^7 + 10*x^10 + 5*x^13 + x^16 + (-10*x^3 - 40*x^6 - 60*x^9 - 40*x^12 - 10*x^15)*Log[x^2*Log[3]] + (5*x^2 + 60*x^5 + 150*x^8 + 140*x^11 + 45*x^14)*Log[x^2*Log[3]]^2 + (-40*x^4 - 200*x^7 - 280*x^10 - 120*x^13)*Log[x^2*Log[3]]^3 + (10*x^3 + 150*x^6 + 350*x^9 + 210*x^12)*Log[x^2*Log[3]]^4 + (-60*x^5 - 280*x^8 - 252*x^11)*Log[x^2*Log[3]]^5 + (10*x^4 + 140*x^7 + 210*x^10)*Log[x^2*Log[3]]^6 + (-40*x^6 - 120*x^9)*Log[x^2*Log[3]]^7 + (5*x^5 + 45*x^8)*Log[x^2*Log[3]]^8 - 10*x^7*Log[x^2*Log[3]]^9 + x^6*Log[x^2*Log[3]]^10),x]","\frac{\left(x-\log \left(x^2 \log (3)\right)\right)^8}{\left(x^3+x \log ^2\left(x^2 \log (3)\right)-2 x^2 \log \left(x^2 \log (3)\right)+1\right)^4}","\frac{1}{\left(\frac{1}{\left(\log \left(x^2 \log (3)\right)-x\right)^2}+x\right)^4}",1,"(x - Log[x^2*Log[3]])^8/(1 + x^3 - 2*x^2*Log[x^2*Log[3]] + x*Log[x^2*Log[3]]^2)^4","B",1
187,-1,0,22,180.04203,"\int \frac{9-15 x-6 x^2+e^{x-(3+x)^x} (1-2 x) \left(6+14 x+4 x^2+(3+x)^x \left(2 x-4 x^2+\left(6-10 x-4 x^2\right) \log (3+x)\right)\right)}{-3+5 x+2 x^2} \, dx","Integrate[(9 - 15*x - 6*x^2 + E^(x - (3 + x)^x)*(1 - 2*x)*(6 + 14*x + 4*x^2 + (3 + x)^x*(2*x - 4*x^2 + (6 - 10*x - 4*x^2)*Log[3 + x])))/(-3 + 5*x + 2*x^2),x]","\text{\$Aborted}","2 e^{x-(x+3)^x} (1-2 x)-3 x",1,"$Aborted","F",-1
188,1,21,20,0.0126137,"\int \frac{2 e^{-x} (2-x) \sqrt{e^{2+x} x^2}}{x} \, dx","Integrate[(2*(2 - x)*Sqrt[E^(2 + x)*x^2])/(E^x*x),x]","\frac{4 e^2 x^2}{\sqrt{e^{x+2} x^2}}","4 e^{-x} \sqrt{e^{x+2} x^2}",1,"(4*E^2*x^2)/Sqrt[E^(2 + x)*x^2]","A",1
189,1,20,26,0.0187317,"\int \frac{12 x-18 x^2+e^2 \left(3-6 x+3 x^2\right)}{e^2 \left(25 x^4-50 x^5+25 x^6\right)} \, dx","Integrate[(12*x - 18*x^2 + E^2*(3 - 6*x + 3*x^2))/(E^2*(25*x^4 - 50*x^5 + 25*x^6)),x]","\frac{\frac{6 x}{e^2 (x-1)}-1}{25 x^3}","\frac{\frac{6}{x-1}-\frac{e^2}{x}}{25 e^2 x^2}",1,"(-1 + (6*x)/(E^2*(-1 + x)))/(25*x^3)","A",1
190,1,25,29,0.1892477,"\int \frac{\exp \left(-\frac{2500+e^6 x^2-500 x^3+25 x^6+e^3 \left(100 x-10 x^4\right)}{25 x^3}\right) \left(15000+2 e^6 x^2-150 x^6+e^3 \left(400 x+20 x^4\right)\right)}{25 x^4} \, dx","Integrate[(15000 + 2*E^6*x^2 - 150*x^6 + E^3*(400*x + 20*x^4))/(25*E^((2500 + E^6*x^2 - 500*x^3 + 25*x^6 + E^3*(100*x - 10*x^4))/(25*x^3))*x^4),x]","2 e^{-\frac{\left(-5 x^3+e^3 x+50\right)^2}{25 x^3}}","2 e^{-\frac{\left(-x^2+\frac{10}{x}+\frac{e^3}{5}\right)^2}{x}}",1,"2/E^((50 + E^3*x - 5*x^3)^2/(25*x^3))","A",1
191,1,9,11,0.0045829,"\int \frac{e^{e^x+x}}{16} \, dx","Integrate[E^(E^x + x)/16,x]","\frac{e^{e^x}}{16}","\frac{1}{16} \left(e^{e^x}-1\right)",1,"E^E^x/16","A",1
192,1,20,20,0.0741708,"\int \left(1+e^{e^x+e^{\frac{1}{4} (1+8 x)}} \left(e^x+2 e^{\frac{1}{4} (1+8 x)}\right)+\log (x)\right) \, dx","Integrate[1 + E^(E^x + E^((1 + 8*x)/4))*(E^x + 2*E^((1 + 8*x)/4)) + Log[x],x]","e^{e^x+e^{2 x+\frac{1}{4}}}+x \log (x)","e^{e^x+e^{2 x+\frac{1}{4}}}+x \log (x)",1,"E^(E^x + E^(1/4 + 2*x)) + x*Log[x]","A",1
193,1,15,24,0.0257635,"\int \left(1-e^{29+e^{e^{25+x}}+e^{25+x}+x}\right) \, dx","Integrate[1 - E^(29 + E^E^(25 + x) + E^(25 + x) + x),x]","x-e^{e^{e^{x+25}}+4}","x-e^{e^{e^{x+25}}+4}-e^4-\log (5)",1,"-E^(4 + E^E^(25 + x)) + x","A",1
194,1,15,18,0.0085292,"\int \frac{2 e^{\frac{x^2}{\log (2)}} x^2-4 \log (2)}{x \log (2)} \, dx","Integrate[(2*E^(x^2/Log[2])*x^2 - 4*Log[2])/(x*Log[2]),x]","e^{\frac{x^2}{\log (2)}}-4 \log (x)","-\log \left(x^4\right)+e^{\frac{x^2}{\log (2)}}+1",1,"E^(x^2/Log[2]) - 4*Log[x]","A",1
195,0,0,20,0.5686188,"\int \frac{-20+6 x+6 \log (3)}{\left(-20 x+4 x^2+6 x \log (3)\right) \log \left(\frac{1}{2} \left(10 x^2-2 x^3-3 x^2 \log (3)\right)\right)+\left(-10 x+2 x^2+3 x \log (3)\right) \log \left(\frac{1}{2} \left(10 x^2-2 x^3-3 x^2 \log (3)\right)\right) \log \left(\log \left(\frac{1}{2} \left(10 x^2-2 x^3-3 x^2 \log (3)\right)\right)\right)} \, dx","Integrate[(-20 + 6*x + 6*Log[3])/((-20*x + 4*x^2 + 6*x*Log[3])*Log[(10*x^2 - 2*x^3 - 3*x^2*Log[3])/2] + (-10*x + 2*x^2 + 3*x*Log[3])*Log[(10*x^2 - 2*x^3 - 3*x^2*Log[3])/2]*Log[Log[(10*x^2 - 2*x^3 - 3*x^2*Log[3])/2]]),x]","\int \frac{-20+6 x+6 \log (3)}{\left(-20 x+4 x^2+6 x \log (3)\right) \log \left(\frac{1}{2} \left(10 x^2-2 x^3-3 x^2 \log (3)\right)\right)+\left(-10 x+2 x^2+3 x \log (3)\right) \log \left(\frac{1}{2} \left(10 x^2-2 x^3-3 x^2 \log (3)\right)\right) \log \left(\log \left(\frac{1}{2} \left(10 x^2-2 x^3-3 x^2 \log (3)\right)\right)\right)} \, dx","\log \left(\log \left(\log \left(x^2 \left(-x+5-\frac{3 \log (3)}{2}\right)\right)\right)+2\right)",1,"Integrate[(-20 + 6*x + 6*Log[3])/((-20*x + 4*x^2 + 6*x*Log[3])*Log[(10*x^2 - 2*x^3 - 3*x^2*Log[3])/2] + (-10*x + 2*x^2 + 3*x*Log[3])*Log[(10*x^2 - 2*x^3 - 3*x^2*Log[3])/2]*Log[Log[(10*x^2 - 2*x^3 - 3*x^2*Log[3])/2]]), x]","F",-1
196,0,0,41,0.7175041,"\int \frac{5^{e^{-3+x}} \exp \left(-11+2\ 5^{e^{-3+x}} e^x \left(\frac{1}{12 x+4 x^2}\right)^{e^{-3+x}}\right) \left(\frac{1}{12 x+4 x^2}\right)^{e^{-3+x}} \left(e^{2 x} (-6-4 x)+e^{3+x} \left(6 x+2 x^2\right)+e^{2 x} \left(6 x+2 x^2\right) \log \left(\frac{5}{12 x+4 x^2}\right)\right)}{3 x+x^2} \, dx","Integrate[(5^E^(-3 + x)*E^(-11 + 2*5^E^(-3 + x)*E^x*((12*x + 4*x^2)^(-1))^E^(-3 + x))*((12*x + 4*x^2)^(-1))^E^(-3 + x)*(E^(2*x)*(-6 - 4*x) + E^(3 + x)*(6*x + 2*x^2) + E^(2*x)*(6*x + 2*x^2)*Log[5/(12*x + 4*x^2)]))/(3*x + x^2),x]","\int \frac{5^{e^{-3+x}} \exp \left(-11+2\ 5^{e^{-3+x}} e^x \left(\frac{1}{12 x+4 x^2}\right)^{e^{-3+x}}\right) \left(\frac{1}{12 x+4 x^2}\right)^{e^{-3+x}} \left(e^{2 x} (-6-4 x)+e^{3+x} \left(6 x+2 x^2\right)+e^{2 x} \left(6 x+2 x^2\right) \log \left(\frac{5}{12 x+4 x^2}\right)\right)}{3 x+x^2} \, dx","\exp \left(2^{1-2 e^{x-3}} 5^{e^{x-3}} e^x \left(\frac{1}{x (x+3)}\right)^{e^{x-3}}-8\right)",1,"Integrate[(5^E^(-3 + x)*E^(-11 + 2*5^E^(-3 + x)*E^x*((12*x + 4*x^2)^(-1))^E^(-3 + x))*((12*x + 4*x^2)^(-1))^E^(-3 + x)*(E^(2*x)*(-6 - 4*x) + E^(3 + x)*(6*x + 2*x^2) + E^(2*x)*(6*x + 2*x^2)*Log[5/(12*x + 4*x^2)]))/(3*x + x^2), x]","F",-1
197,1,30,27,0.4079012,"\int \frac{108+54 x-2 x^3+e^x \left(-60+22 x-2 x^2\right)+(-12+2 x) \log (-6+x)+\left(37 x+6 x^2-2 x^3+e^x \left(-24 x+10 x^2-x^3\right)\right) \log \left(x^2\right)}{-6 x+x^2} \, dx","Integrate[(108 + 54*x - 2*x^3 + E^x*(-60 + 22*x - 2*x^2) + (-12 + 2*x)*Log[-6 + x] + (37*x + 6*x^2 - 2*x^3 + E^x*(-24*x + 10*x^2 - x^3))*Log[x^2])/(-6*x + x^2),x]","-\left(e^x (x-5)+x (x+6)-\log (x-6)\right) \log \left(x^2\right)-18 \log (x)","5-\left((x+3)^2+e^x (x-5)-\log (x-6)\right) \log \left(x^2\right)",1,"-18*Log[x] - (E^x*(-5 + x) + x*(6 + x) - Log[-6 + x])*Log[x^2]","A",1
198,1,17,21,0.0475982,"\int \frac{e^{2 x} \left(-275+3050 x+700 x^2\right)}{25+140 x+196 x^2} \, dx","Integrate[(E^(2*x)*(-275 + 3050*x + 700*x^2))/(25 + 140*x + 196*x^2),x]","\frac{25 e^{2 x} (x+4)}{14 x+5}","25-\frac{5 e^{2 x} (x+4)}{-\frac{14 x}{5}-1}",1,"(25*E^(2*x)*(4 + x))/(5 + 14*x)","A",1
199,1,18,22,0.2938934,"\int e^{2 e^{6+x} x+e^6 \left(4 x^2-4 x^3\right)} \left(e^{6+x} (2+2 x)+e^6 \left(8 x-12 x^2\right)\right) \, dx","Integrate[E^(2*E^(6 + x)*x + E^6*(4*x^2 - 4*x^3))*(E^(6 + x)*(2 + 2*x) + E^6*(8*x - 12*x^2)),x]","e^{2 e^6 x \left(e^x-2 (x-1) x\right)}","e^{4 e^6 x \left(-x^2+x+\frac{e^x}{2}\right)}",1,"E^(2*E^6*x*(E^x - 2*(-1 + x)*x))","A",1
200,1,16,16,0.1172038,"\int \frac{e^{1+x} (10+2 x) \log (5)+e^{1+x} \left(8 x+2 x^2\right) \log (5) \log (x)}{e^{20} \left(25 x+10 x^2+x^3\right)} \, dx","Integrate[(E^(1 + x)*(10 + 2*x)*Log[5] + E^(1 + x)*(8*x + 2*x^2)*Log[5]*Log[x])/(E^20*(25*x + 10*x^2 + x^3)),x]","\frac{2 e^{x-19} \log (5) \log (x)}{x+5}","\frac{2 e^{x-19} \log (5) \log (x)}{x+5}",1,"(2*E^(-19 + x)*Log[5]*Log[x])/(5 + x)","A",1
201,1,7,13,0.000991,"\int \left(-1+e^x\right) \, dx","Integrate[-1 + E^x,x]","e^x-x","-x+e^x-3-20 \log (\log (5))",1,"E^x - x","A",1
202,1,24,19,0.1237574,"\int \frac{-100-320 x+2 x^3+e^x \left(25 x+160 x^2+256 x^3+x^4\right)}{25 x+160 x^2+256 x^3+x^4} \, dx","Integrate[(-100 - 320*x + 2*x^3 + E^x*(25*x + 160*x^2 + 256*x^3 + x^4))/(25*x + 160*x^2 + 256*x^3 + x^4),x]","2 \log \left(x^3+256 x^2+160 x+25\right)+e^x-4 \log (x)","e^x+\log \left(\left(\left(\frac{5}{x}+16\right)^2+x\right)^2\right)+11",1,"E^x - 4*Log[x] + 2*Log[25 + 160*x + 256*x^2 + x^3]","A",1
203,1,24,26,0.2136468,"\int \frac{-4-3 x+(7+7 x) \log (x)+(-4-4 x) \log ^2(x)}{5 e^x x^2-10 e^x x^2 \log (x)+5 e^x x^2 \log ^2(x)} \, dx","Integrate[(-4 - 3*x + (7 + 7*x)*Log[x] + (-4 - 4*x)*Log[x]^2)/(5*E^x*x^2 - 10*E^x*x^2*Log[x] + 5*E^x*x^2*Log[x]^2),x]","\frac{e^{-x} (4 \log (x)-3)}{5 x (\log (x)-1)}","\frac{3 e^{-x} \left(x+\frac{x}{3-\frac{3}{\log (x)}}\right)}{5 x^2}",1,"(-3 + 4*Log[x])/(5*E^x*x*(-1 + Log[x]))","A",1
204,1,38,28,0.0338039,"\int \frac{3 x^2+x^3+e^5 \left(4+4 x-2 x^2+2 x^3+3 x^4-x^5\right)}{-4 x^2-x^3+e^5 \left(-4 x-2 x^3+x^5\right)} \, dx","Integrate[(3*x^2 + x^3 + E^5*(4 + 4*x - 2*x^2 + 2*x^3 + 3*x^4 - x^5))/(-4*x^2 - x^3 + E^5*(-4*x - 2*x^3 + x^5)),x]","\log \left(e^5 x^4-2 e^5 x^2-x^2-4 x-4 e^5\right)-x-\log (x)","\log \left(\frac{e^5 \left(\left(1-x^2\right)^2-5\right)}{x}-x-4\right)-x",1,"-x - Log[x] + Log[-4*E^5 - 4*x - x^2 - 2*E^5*x^2 + E^5*x^4]","A",1
205,1,41,19,0.0692296,"\int \frac{-33750 x^2-101250 x^3+379586250 x^4-33750 x^5+\left(6+30 x-67440 x^2-134940 x^3-67470 x^4+6 x^5\right) \log (x)}{x+5 x^2+10 x^3+10 x^4+5 x^5+x^6} \, dx","Integrate[(-33750*x^2 - 101250*x^3 + 379586250*x^4 - 33750*x^5 + (6 + 30*x - 67440*x^2 - 134940*x^3 - 67470*x^4 + 6*x^5)*Log[x])/(x + 5*x^2 + 10*x^3 + 10*x^4 + 5*x^5 + x^6),x]","3 \left(-\frac{11250 x^2 \log (x)}{(x+1)^2}-\frac{31640625 \left(4 x^3+6 x^2+4 x+1\right)}{(x+1)^4}+\log ^2(x)\right)","3 \left(\frac{5625 x^2}{(x+1)^2}-\log (x)\right)^2",1,"3*((-31640625*(1 + 4*x + 6*x^2 + 4*x^3))/(1 + x)^4 - (11250*x^2*Log[x])/(1 + x)^2 + Log[x]^2)","B",1
206,1,12,13,0.0039384,"\int -\frac{15 e^2}{1550-620 e x+62 e^2 x^2} \, dx","Integrate[(-15*E^2)/(1550 - 620*E*x + 62*E^2*x^2),x]","\frac{15 e}{62 (e x-5)}","\frac{15}{62 \left(x-\frac{5}{e}\right)}",1,"(15*E)/(62*(-5 + E*x))","A",1
207,1,42,22,0.3426249,"\int \frac{-663552 x-921600 x^2-467456 x^3-102400 x^4-8192 x^5+\left(664704 x+1383200 x^2+935040 x^3+256000 x^4+24576 x^5+\left(1152+800 x+128 x^2\right) \log (5)\right) \log (x)+\left(-2304 x-2400 x^2-512 x^3+\left(-1152-1600 x-384 x^2\right) \log (5)\right) \log ^2(x)+(2 x+2 \log (5)) \log ^3(x)}{\log ^3(x)} \, dx","Integrate[(-663552*x - 921600*x^2 - 467456*x^3 - 102400*x^4 - 8192*x^5 + (664704*x + 1383200*x^2 + 935040*x^3 + 256000*x^4 + 24576*x^5 + (1152 + 800*x + 128*x^2)*Log[5])*Log[x] + (-2304*x - 2400*x^2 - 512*x^3 + (-1152 - 1600*x - 384*x^2)*Log[5])*Log[x]^2 + (2*x + 2*Log[5])*Log[x]^3)/Log[x]^3,x]","\frac{x \left(64 x^2+400 x-\log (x)+576\right) \left(16 x \left(4 x^2+25 x+36\right)-(x+\log (25)) \log (x)\right)}{\log ^2(x)}","\left(x-\frac{16 \left((2 x+6)^2+x\right) x}{\log (x)}+\log (5)\right)^2",1,"(x*(576 + 400*x + 64*x^2 - Log[x])*(16*x*(36 + 25*x + 4*x^2) - (x + Log[25])*Log[x]))/Log[x]^2","A",1
208,1,19,22,0.0069765,"\int \frac{-128+6 x^2-2 x^3}{4-4 x+x^2} \, dx","Integrate[(-128 + 6*x^2 - 2*x^3)/(4 - 4*x + x^2),x]","-\frac{2 \left(-x^3+12 x+104\right)}{4-2 x}","-\left(\left(x+\frac{60}{2-x}\right) x\right)-2 x+e^5+2",1,"(-2*(104 + 12*x - x^3))/(4 - 2*x)","A",1
209,1,26,28,0.0423633,"\int \frac{-2 e^3 x^2+e^{3+\frac{1}{4} \left(4 e+x^2\right)} \left(-882-84 x+439 x^2+42 x^3+x^4\right)}{882 x^2+84 x^3+2 x^4} \, dx","Integrate[(-2*E^3*x^2 + E^(3 + (4*E + x^2)/4)*(-882 - 84*x + 439*x^2 + 42*x^3 + x^4))/(882*x^2 + 84*x^3 + 2*x^4),x]","\frac{e^{\frac{x^2}{4}+e+3}}{x}+\frac{e^3}{x+21}","\frac{e^3 \left(e^{\frac{x^2}{4}+e}+\frac{x}{x+21}\right)}{x}+1",1,"E^(3 + E + x^2/4)/x + E^3/(21 + x)","A",1
210,1,23,19,0.0093404,"\int \frac{15-6 x^2}{350+155 x+297 x^2+62 x^3+56 x^4} \, dx","Integrate[(15 - 6*x^2)/(350 + 155*x + 297*x^2 + 62*x^3 + 56*x^4),x]","\log \left(28 x^2+17 x+70\right)-\log \left(2 x^2+x+5\right)","\log \left(\frac{3}{\frac{x^2+x+5}{x}+x}+14\right)",1,"-Log[5 + x + 2*x^2] + Log[70 + 17*x + 28*x^2]","A",1
211,1,53,26,0.0840297,"\int \frac{3-3 x+(-12+3 x-3 \log (x)) \log (4-x+\log (x))+\left(64+e^2 (32-8 x)+e^4 (4-x)-16 x+\left(16+8 e^2+e^4\right) \log (x)\right) \log ^2(4-x+\log (x))}{\left(-12 x+3 x^2-3 x \log (x)\right) \log (4-x+\log (x))+\left(64 x-16 x^2+e^2 \left(32 x-8 x^2\right)+e^4 \left(4 x-x^2\right)+\left(16 x+8 e^2 x+e^4 x\right) \log (x)\right) \log ^2(4-x+\log (x))} \, dx","Integrate[(3 - 3*x + (-12 + 3*x - 3*Log[x])*Log[4 - x + Log[x]] + (64 + E^2*(32 - 8*x) + E^4*(4 - x) - 16*x + (16 + 8*E^2 + E^4)*Log[x])*Log[4 - x + Log[x]]^2)/((-12*x + 3*x^2 - 3*x*Log[x])*Log[4 - x + Log[x]] + (64*x - 16*x^2 + E^2*(32*x - 8*x^2) + E^4*(4*x - x^2) + (16*x + 8*E^2*x + E^4*x)*Log[x])*Log[4 - x + Log[x]]^2),x]","\log (x)-\log (\log (-x+\log (x)+4))+\log \left(-e^4 \log (-x+\log (x)+4)-8 e^2 \log (-x+\log (x)+4)-16 \log (-x+\log (x)+4)+3\right)","\log \left(\frac{1}{3} x \left(\left(4+e^2\right)^2-\frac{3}{\log (-x+\log (x)+4)}\right)\right)",1,"Log[x] - Log[Log[4 - x + Log[x]]] + Log[3 - 16*Log[4 - x + Log[x]] - 8*E^2*Log[4 - x + Log[x]] - E^4*Log[4 - x + Log[x]]]","B",1
212,1,24,21,0.1813152,"\int \frac{10+e^2 (2-2 x)-10 x+x^2-x^3-2 x^4+2 x^3 \log (x)}{-5 x-e^2 x-x^4+x^3 \log (x)} \, dx","Integrate[(10 + E^2*(2 - 2*x) - 10*x + x^2 - x^3 - 2*x^4 + 2*x^3*Log[x])/(-5*x - E^2*x - x^4 + x^3*Log[x]),x]","\log \left(x^3-x^2 \log (x)+e^2+5\right)+2 x-2 \log (x)","\log \left(\frac{5+e^2}{x^2}+x-\log (x)\right)+2 x-5",1,"2*x - 2*Log[x] + Log[5 + E^2 + x^3 - x^2*Log[x]]","A",1
213,1,20,21,0.1241953,"\int \frac{e^x (-117-9 x)+e^x \left(-117+117 x+9 x^2\right) \log (x)-9 x \log ^2(x)}{x^2 \log ^2(x)} \, dx","Integrate[(E^x*(-117 - 9*x) + E^x*(-117 + 117*x + 9*x^2)*Log[x] - 9*x*Log[x]^2)/(x^2*Log[x]^2),x]","\frac{9 e^x (x+13)}{x \log (x)}-9 \log (x)","9 \left(\frac{e^x (x+13)}{x \log (x)}-\log (x)\right)",1,"(9*E^x*(13 + x))/(x*Log[x]) - 9*Log[x]","A",1
214,1,31,30,0.1638228,"\int \frac{\exp \left(\frac{2}{3} \left(5 e^{9+6 x+x^2}-3 x-3 x^2 \log \left(e^2+2 x\right)\right)\right) \left(-6 e^2-12 x-12 x^2+e^{9+6 x+x^2} \left(120 x+40 x^2+e^2 (60+20 x)\right)+\left(-12 e^2 x-24 x^2\right) \log \left(e^2+2 x\right)\right)}{3 e^2+6 x} \, dx","Integrate[(E^((2*(5*E^(9 + 6*x + x^2) - 3*x - 3*x^2*Log[E^2 + 2*x]))/3)*(-6*E^2 - 12*x - 12*x^2 + E^(9 + 6*x + x^2)*(120*x + 40*x^2 + E^2*(60 + 20*x)) + (-12*E^2*x - 24*x^2)*Log[E^2 + 2*x]))/(3*E^2 + 6*x),x]","e^{\frac{10}{3} e^{(x+3)^2}-2 x} \left(2 x+e^2\right)^{-2 x^2}","\exp \left(-2 x^2 \log \left(2 x+e^2\right)-2 x+\frac{10}{3} e^{(x+3)^2}\right)",1,"E^((10*E^(3 + x)^2)/3 - 2*x)/(E^2 + 2*x)^(2*x^2)","A",1
215,1,23,25,0.2280815,"\int \frac{e^{\frac{30 e^3-30 x+x^2 \log (x)}{2 \log (x)}} \left(-15 e^3+15 x-15 x \log (x)+x^2 \log ^2(x)\right)}{x \log ^2(x)} \, dx","Integrate[(E^((30*E^3 - 30*x + x^2*Log[x])/(2*Log[x]))*(-15*E^3 + 15*x - 15*x*Log[x] + x^2*Log[x]^2))/(x*Log[x]^2),x]","e^{\frac{x^2}{2}+\frac{15 \left(e^3-x\right)}{\log (x)}}","e^{\frac{x^2}{2}+\frac{15 \left(e^3-x\right)}{\log (x)}}+5",1,"E^(x^2/2 + (15*(E^3 - x))/Log[x])","A",1
216,1,19,14,0.0033624,"\int -\frac{4}{-4 x+3 x^2} \, dx","Integrate[-4/(-4*x + 3*x^2),x]","4 \left(\frac{\log (x)}{4}-\frac{1}{4} \log (4-3 x)\right)","1-\log \left(\frac{3 x-4}{x}\right)",1,"4*(-1/4*Log[4 - 3*x] + Log[x]/4)","A",1
217,1,13,29,0.0051317,"\int \left(-1+2 e^{2 x}+4 \log \left(4 e^9\right)\right) \, dx","Integrate[-1 + 2*E^(2*x) + 4*Log[4*E^9],x]","35 x+e^{2 x}+x \log (256)","-x+x \left(\frac{e^{2 x}}{x}+4 \log \left(4 e^9\right)\right)-e^9",1,"E^(2*x) + 35*x + x*Log[256]","A",1
218,1,19,26,0.4728253,"\int \frac{5+e (-1-2 x)+10 x+e^{e^x} \left(1+2 x+e^x \left(3-x-x^2\right)\right)}{25-10 e+e^2+(10-2 e) e^{e^x}+e^{2 e^x}} \, dx","Integrate[(5 + E*(-1 - 2*x) + 10*x + E^E^x*(1 + 2*x + E^x*(3 - x - x^2)))/(25 - 10*E + E^2 + (10 - 2*E)*E^E^x + E^(2*E^x)),x]","\frac{x^2+x-3}{e^{e^x}+5-e}","1-\frac{-x^2-x+3}{e^{e^x}+5-e}",1,"(-3 + x + x^2)/(5 - E + E^E^x)","A",1
219,1,23,28,0.006753,"\int \frac{-5-5 e^2-x^2-12 x^3}{10 x^2} \, dx","Integrate[(-5 - 5*E^2 - x^2 - 12*x^3)/(10*x^2),x]","\frac{1}{10} \left(-6 x^2-x+\frac{5 \left(1+e^2\right)}{x}\right)","\frac{-\frac{1}{5} x \left(3 \left(2 x^2-2\right)+x\right)+e^2+1}{2 x}",1,"((5*(1 + E^2))/x - x - 6*x^2)/10","A",1
220,1,51,28,0.3698205,"\int \frac{\exp \left(e^{8 e^x}+2 e^{4 e^x} \log \left(\log \left(\frac{4-2 x-e^x x}{x}\right)\right)+\log ^2\left(\log \left(\frac{4-2 x-e^x x}{x}\right)\right)\right) x \left(e^{4 e^x} \left(8+2 e^x x^2\right)+\left(-4+2 x+e^x x+e^{8 e^x} \left(8 e^{2 x} x^2+e^x \left(-32 x+16 x^2\right)\right)\right) \log \left(\frac{4-2 x-e^x x}{x}\right)+\left(8+2 e^x x^2+e^{4 e^x} \left(8 e^{2 x} x^2+e^x \left(-32 x+16 x^2\right)\right) \log \left(\frac{4-2 x-e^x x}{x}\right)\right) \log \left(\log \left(\frac{4-2 x-e^x x}{x}\right)\right)\right)}{\left(-4 x+2 x^2+e^x x^2\right) \log \left(\frac{4-2 x-e^x x}{x}\right)} \, dx","Integrate[(E^(E^(8*E^x) + 2*E^(4*E^x)*Log[Log[(4 - 2*x - E^x*x)/x]] + Log[Log[(4 - 2*x - E^x*x)/x]]^2)*x*(E^(4*E^x)*(8 + 2*E^x*x^2) + (-4 + 2*x + E^x*x + E^(8*E^x)*(8*E^(2*x)*x^2 + E^x*(-32*x + 16*x^2)))*Log[(4 - 2*x - E^x*x)/x] + (8 + 2*E^x*x^2 + E^(4*E^x)*(8*E^(2*x)*x^2 + E^x*(-32*x + 16*x^2))*Log[(4 - 2*x - E^x*x)/x])*Log[Log[(4 - 2*x - E^x*x)/x]]))/((-4*x + 2*x^2 + E^x*x^2)*Log[(4 - 2*x - E^x*x)/x]),x]","x e^{e^{8 e^x}+\log ^2\left(\log \left(-e^x+\frac{4}{x}-2\right)\right)} \log ^{2 e^{4 e^x}}\left(-e^x+\frac{4}{x}-2\right)","x e^{\left(e^{4 e^x}+\log \left(\log \left(-e^x+\frac{4}{x}-2\right)\right)\right)^2}",1,"E^(E^(8*E^x) + Log[Log[-2 - E^x + 4/x]]^2)*x*Log[-2 - E^x + 4/x]^(2*E^(4*E^x))","A",1
221,1,54,30,0.1338189,"\int \frac{\exp \left(2 e^8+2 x+8 e^4 x+8 x^2+2 \left(2 e^4+4 x\right) \log \left(1-x+x^2\right)+2 \log ^2\left(1-x+x^2\right)\right) \left(-18+36 x+36 x^2+18 x^3+144 x^4+e^4 \left(36 x+72 x^3\right)+\left(36 x+72 x^3\right) \log \left(1-x+x^2\right)\right)}{x^3-x^4+x^5} \, dx","Integrate[(E^(2*E^8 + 2*x + 8*E^4*x + 8*x^2 + 2*(2*E^4 + 4*x)*Log[1 - x + x^2] + 2*Log[1 - x + x^2]^2)*(-18 + 36*x + 36*x^2 + 18*x^3 + 144*x^4 + E^4*(36*x + 72*x^3) + (36*x + 72*x^3)*Log[1 - x + x^2]))/(x^3 - x^4 + x^5),x]","\frac{9 \left(x^2-x+1\right)^{4 \left(2 x+e^4\right)} e^{2 \left(4 x^2+\log ^2\left(x^2-x+1\right)+4 e^4 x+x+e^8\right)}}{x^2}","\frac{9 \exp \left(2 x+2 \left(2 x+\log ((x-1) x+1)+e^4\right)^2\right)}{x^2}",1,"(9*E^(2*(E^8 + x + 4*E^4*x + 4*x^2 + Log[1 - x + x^2]^2))*(1 - x + x^2)^(4*(E^4 + 2*x)))/x^2","A",1
222,1,20,22,0.2830577,"\int \frac{-2 x+2 \log (x)+(x-\log (x)) \log \left(2 x^2\right)+(1-x) \log \left(2 x^2\right) \log \left(\frac{x}{\log \left(2 x^2\right)}\right)}{\left(x^3-2 x^2 \log (x)+x \log ^2(x)\right) \log \left(2 x^2\right)} \, dx","Integrate[(-2*x + 2*Log[x] + (x - Log[x])*Log[2*x^2] + (1 - x)*Log[2*x^2]*Log[x/Log[2*x^2]])/((x^3 - 2*x^2*Log[x] + x*Log[x]^2)*Log[2*x^2]),x]","\frac{\log \left(\frac{x}{\log \left(2 x^2\right)}\right)}{x-\log (x)}","\frac{\log \left(\frac{x}{\log \left(2 x^2\right)}\right)}{x-\log (x)}+1",1,"Log[x/Log[2*x^2]]/(x - Log[x])","A",1
223,1,35,32,0.0214796,"\int \frac{80-14552 x^2-1280 x^3-5691 x^4-160 x^5-672 x^6+e^4 \left(768 x^2+384 x^4+48 x^6\right)}{80+40 x^2+5 x^4} \, dx","Integrate[(80 - 14552*x^2 - 1280*x^3 - 5691*x^4 - 160*x^5 - 672*x^6 + E^4*(768*x^2 + 384*x^4 + 48*x^6))/(80 + 40*x^2 + 5*x^4),x]","\frac{1}{5} \left(16 \left(e^4-14\right) x^3-80 x^2+\frac{1280 (x-1)}{x^2+4}-315 x\right)","x-16 x^3 \left(\frac{1}{5} \left(\frac{5 (x+4)}{x^2+4}-e^4-1\right)+3\right)",1,"(-315*x - 80*x^2 + 16*(-14 + E^4)*x^3 + (1280*(-1 + x))/(4 + x^2))/5","A",1
224,1,12,15,0.0990211,"\int \frac{-1-2 x^2-x^5-2 x^3 \log (x)-x \log ^2(x)}{x^5+2 x^3 \log (x)+x \log ^2(x)} \, dx","Integrate[(-1 - 2*x^2 - x^5 - 2*x^3*Log[x] - x*Log[x]^2)/(x^5 + 2*x^3*Log[x] + x*Log[x]^2),x]","\frac{1}{x^2+\log (x)}-x","\frac{1}{x^2+\log (x)}-x-\frac{4}{3}",1,"-x + (x^2 + Log[x])^(-1)","A",1
225,1,20,27,0.0195635,"\int \frac{e^x (2-x)+8 x^2-7 x^3}{4 x^3} \, dx","Integrate[(E^x*(2 - x) + 8*x^2 - 7*x^3)/(4*x^3),x]","\frac{1}{4} \left(-\frac{e^x}{x^2}-7 x+8 \log (x)\right)","\frac{1}{4} \left(2 \left(\log \left(x^4\right)-1\right)-\frac{e^x}{x^2}+x\right)-2 x+1",1,"(-(E^x/x^2) - 7*x + 8*Log[x])/4","A",1
226,1,34,27,1.0383473,"\int \frac{1088-8 x-48 x^2-194 x^3+48 x^4-3 x^5}{-544 x+4 x^2-1064 x^3+6 x^4+48 x^5-4 x^6+\left(816 x^3-6 x^4-36 x^5+3 x^6\right) \log \left(\frac{-32+4 x}{-34-4 x+x^2}\right)} \, dx","Integrate[(1088 - 8*x - 48*x^2 - 194*x^3 + 48*x^4 - 3*x^5)/(-544*x + 4*x^2 - 1064*x^3 + 6*x^4 + 48*x^5 - 4*x^6 + (816*x^3 - 6*x^4 - 36*x^5 + 3*x^6)*Log[(-32 + 4*x)/(-34 - 4*x + x^2)]),x]","\log \left(4 x^2-3 x^2 \log \left(\frac{4 (x-8)}{x^2-4 x-34}\right)+2\right)-2 \log (x)","\log \left(-\frac{2}{x^2}+3 \log \left(\frac{4}{x+\frac{2}{8-x}+4}\right)-4\right)",1,"-2*Log[x] + Log[2 + 4*x^2 - 3*x^2*Log[(4*(-8 + x))/(-34 - 4*x + x^2)]]","A",1
227,1,6,18,0.0002575,"\int \frac{1}{4 x} \, dx","Integrate[1/(4*x),x]","\frac{\log (x)}{4}","\frac{\log (x)}{4}+i \pi +e^2-5+\log (20)",1,"Log[x]/4","A",1
228,1,16,24,0.0094026,"\int \frac{e^{2 e^x-2 i \pi } \left(-4+8 e^x x\right)}{x^2 \log ^2(5)} \, dx","Integrate[(E^(2*E^x - (2*I)*Pi)*(-4 + 8*E^x*x))/(x^2*Log[5]^2),x]","\frac{4 e^{2 e^x}}{x \log ^2(5)}","6+\frac{4 e^{2 e^x-2 i \pi }}{x \log ^2(5)}",1,"(4*E^(2*E^x))/(x*Log[5]^2)","A",1
229,1,18,12,0.0035821,"\int -\frac{5}{5+\frac{e^x}{5}} \, dx","Integrate[-5/(5 + E^x/5),x]","-25 \left(\frac{x}{25}-\frac{1}{25} \log \left(e^x+25\right)\right)","\log \left(25 e^{-x}+1\right)+3",1,"-25*(x/25 - Log[25 + E^x]/25)","A",1
230,1,33,25,0.0135331,"\int \frac{-100+210 x-30 x^2+e^2 \left(20 x^2-24 x^3+4 x^4\right)}{e^2 \left(5 x-6 x^2+x^3\right)} \, dx","Integrate[(-100 + 210*x - 30*x^2 + E^2*(20*x^2 - 24*x^3 + 4*x^4))/(E^2*(5*x - 6*x^2 + x^3)),x]","\frac{2 e^2 x^2-20 \log (1-x)+10 \log (5-x)-20 \log (x)}{e^2}","2 \left(x^2+\frac{5 \log \left(\frac{x-5}{(x-1)^2 x^2}\right)}{e^2}+1\right)",1,"(2*E^2*x^2 - 20*Log[1 - x] + 10*Log[5 - x] - 20*Log[x])/E^2","A",1
231,1,33,28,0.0326026,"\int \frac{-9-63 x+x^2+7 x^3+\left(84 x^3-28 x^4\right) \log (1+7 x)+\left(6 x^2+38 x^3-28 x^4\right) \log ^2(1+7 x)+28 x^5 \log ^3(1+7 x)+\left(3 x^4+21 x^5\right) \log ^4(1+7 x)}{x^2+7 x^3} \, dx","Integrate[(-9 - 63*x + x^2 + 7*x^3 + (84*x^3 - 28*x^4)*Log[1 + 7*x] + (6*x^2 + 38*x^3 - 28*x^4)*Log[1 + 7*x]^2 + 28*x^5*Log[1 + 7*x]^3 + (3*x^4 + 21*x^5)*Log[1 + 7*x]^4)/(x^2 + 7*x^3),x]","x^3 \log ^4(7 x+1)+x+\frac{9}{x}-2 (x-3) x \log ^2(7 x+1)","\frac{\left(x-(x-x (1-\log (7 x+1)))^2-3\right)^2}{x}",1,"9/x + x - 2*(-3 + x)*x*Log[1 + 7*x]^2 + x^3*Log[1 + 7*x]^4","A",1
232,1,24,25,1.7117613,"\int \frac{e^{5+e^x+x} \left(2-\log \left(\frac{\log ^2(-2+x)}{x^2}\right)\right) \left(2 x+\left(8-2 x^2+e^x \left(4 x-2 x^2\right)\right) \log (-2+x)+\left(-2-x+x^2+e^x \left(-2 x+x^2\right)\right) \log (-2+x) \log \left(\frac{\log ^2(-2+x)}{x^2}\right)\right)}{(4-2 x) \log (-2+x)+(-2+x) \log (-2+x) \log \left(\frac{\log ^2(-2+x)}{x^2}\right)} \, dx","Integrate[(E^(5 + E^x + x)*(2 - Log[Log[-2 + x]^2/x^2])*(2*x + (8 - 2*x^2 + E^x*(4*x - 2*x^2))*Log[-2 + x] + (-2 - x + x^2 + E^x*(-2*x + x^2))*Log[-2 + x]*Log[Log[-2 + x]^2/x^2]))/((4 - 2*x)*Log[-2 + x] + (-2 + x)*Log[-2 + x]*Log[Log[-2 + x]^2/x^2]),x]","-e^{x+e^x+5} x \left(\log \left(\frac{\log ^2(x-2)}{x^2}\right)-2\right)","e^{x+e^x+5} x \left(2-\log \left(\frac{\log ^2(x-2)}{x^2}\right)\right)",1,"-(E^(5 + E^x + x)*x*(-2 + Log[Log[-2 + x]^2/x^2]))","A",1
233,1,18,25,0.0327492,"\int \frac{-10+x^2+e^x \left(2-2 x+x^2\right)-2 \log (3)}{x^2} \, dx","Integrate[(-10 + x^2 + E^x*(2 - 2*x + x^2) - 2*Log[3])/x^2,x]","\frac{x^2+e^x (x-2)+10+\log (9)}{x}","x+\frac{(2-x) \left(-e^x+5+\log (3)\right)}{x}-e^3",1,"(10 + E^x*(-2 + x) + x^2 + Log[9])/x","A",1
234,1,11,18,0.0023442,"\int \frac{1}{9} \left(17-9 e^x\right) \, dx","Integrate[(17 - 9*E^x)/9,x]","\frac{17 x}{9}-e^x","\frac{1}{9} (-x-3)-e^x+2 x",1,"-E^x + (17*x)/9","A",1
235,1,24,25,0.2209658,"\int \frac{10 x^5-e^x x^5+e^{e^x} \left(\frac{1}{x}\right)^{\frac{e^{e^x}}{x^4}} \left(1+\left(4-e^x x\right) \log \left(\frac{1}{x}\right)\right)}{x^5} \, dx","Integrate[(10*x^5 - E^x*x^5 + E^E^x*(x^(-1))^(E^E^x/x^4)*(1 + (4 - E^x*x)*Log[x^(-1)]))/x^5,x]","-\left(\frac{1}{x}\right)^{\frac{e^{e^x}}{x^4}}-e^x+10 x","-\left(\frac{1}{x}\right)^{\frac{e^{e^x}}{x^4}}-e^x+10 x-1",1,"-E^x - (x^(-1))^(E^E^x/x^4) + 10*x","A",1
236,1,25,22,0.1293555,"\int \frac{2 \log (x)+\log ^2(x)+e^{-2-x} \log (x) (-2+(-1+2 x) \log (x))}{-x \log ^2(x)+e^{-2-x} x \log ^2(x)} \, dx","Integrate[(2*Log[x] + Log[x]^2 + E^(-2 - x)*Log[x]*(-2 + (-1 + 2*x)*Log[x]))/(-(x*Log[x]^2) + E^(-2 - x)*x*Log[x]^2),x]","2 x-2 \log \left(1-e^{x+2}\right)-\log (x)-2 \log (\log (x))","-\log \left(2 x \left(\log (x)-e^{-x-2} \log (x)\right)^2\right)",1,"2*x - 2*Log[1 - E^(2 + x)] - Log[x] - 2*Log[Log[x]]","A",1
237,1,5,7,0.0016449,"\int 2 e^{x^2} x \, dx","Integrate[2*E^x^2*x,x]","e^{x^2}","e^{x^2}+10",1,"E^x^2","A",1
238,1,81,22,0.0148357,"\int \frac{1568 x-5040 x^2+4048 x^3-600 x^4+24 x^5+e^4 (2+2 x)+e^2 \left(-56+8 x+168 x^2-16 x^3\right)}{e^4} \, dx","Integrate[(1568*x - 5040*x^2 + 4048*x^3 - 600*x^4 + 24*x^5 + E^4*(2 + 2*x) + E^2*(-56 + 8*x + 168*x^2 - 16*x^3))/E^4,x]","2 \left(\frac{2 x^6}{e^4}-\frac{60 x^5}{e^4}-\frac{2 x^4}{e^2}+\frac{506 x^4}{e^4}+\frac{28 x^3}{e^2}-\frac{840 x^3}{e^4}+\frac{2 x^2}{e^2}+\frac{392 x^2}{e^4}+\frac{x^2}{2}-\frac{28 x}{e^2}+x\right)","\left(\frac{2 (x-14) \left(x^2-x\right)}{e^2}-x-1\right)^2",1,"2*(x - (28*x)/E^2 + x^2/2 + (392*x^2)/E^4 + (2*x^2)/E^2 - (840*x^3)/E^4 + (28*x^3)/E^2 + (506*x^4)/E^4 - (2*x^4)/E^2 - (60*x^5)/E^4 + (2*x^6)/E^4)","B",1
239,0,0,20,0.3584589,"\int \frac{10+8 x-2 x^2-2 x \log (5)+\left(16 x-2 x^2-4 x \log (5)\right) \log (x)}{-20+5 x+5 \log (5)+\left(-4 x^2+x^3+x^2 \log (5)\right) \log (x)} \, dx","Integrate[(10 + 8*x - 2*x^2 - 2*x*Log[5] + (16*x - 2*x^2 - 4*x*Log[5])*Log[x])/(-20 + 5*x + 5*Log[5] + (-4*x^2 + x^3 + x^2*Log[5])*Log[x]),x]","\int \frac{10+8 x-2 x^2-2 x \log (5)+\left(16 x-2 x^2-4 x \log (5)\right) \log (x)}{-20+5 x+5 \log (5)+\left(-4 x^2+x^3+x^2 \log (5)\right) \log (x)} \, dx","\log \left(\frac{2 (x-4+\log (5))^2}{\left(x^2 \log (x)+5\right)^2}\right)",1,"Integrate[(10 + 8*x - 2*x^2 - 2*x*Log[5] + (16*x - 2*x^2 - 4*x*Log[5])*Log[x])/(-20 + 5*x + 5*Log[5] + (-4*x^2 + x^3 + x^2*Log[5])*Log[x]), x]","F",-1
240,1,27,30,0.3209894,"\int \frac{\exp \left(5 \exp \left(9-6 x+x^2+(6-2 x) \log ^2(-2+x)+\log ^4(-2+x)\right)+5 x^2\right) \left(2-x-20 x^2+10 x^3+\exp \left(9-6 x+x^2+(6-2 x) \log ^2(-2+x)+\log ^4(-2+x)\right) \left(60 x-50 x^2+10 x^3+\left(60 x-20 x^2\right) \log (-2+x)+\left(20 x-10 x^2\right) \log ^2(-2+x)+20 x \log ^3(-2+x)\right)\right)}{-2 x^2+x^3} \, dx","Integrate[(E^(5*E^(9 - 6*x + x^2 + (6 - 2*x)*Log[-2 + x]^2 + Log[-2 + x]^4) + 5*x^2)*(2 - x - 20*x^2 + 10*x^3 + E^(9 - 6*x + x^2 + (6 - 2*x)*Log[-2 + x]^2 + Log[-2 + x]^4)*(60*x - 50*x^2 + 10*x^3 + (60*x - 20*x^2)*Log[-2 + x] + (20*x - 10*x^2)*Log[-2 + x]^2 + 20*x*Log[-2 + x]^3)))/(-2*x^2 + x^3),x]","\frac{e^{5 \left(x^2+e^{\left(-x+\log ^2(x-2)+3\right)^2}\right)}}{x}","\frac{e^{5 \left(x^2+e^{\left(-x+\log ^2(x-2)+3\right)^2}\right)}}{x}+\log (4)",1,"E^(5*(E^(3 - x + Log[-2 + x]^2)^2 + x^2))/x","A",1
241,1,29,30,0.261683,"\int \frac{e^{-x} \left(-x-x^2-5 x \log ^2(3)+\left(2 x+2 x^2-x^3+\left(10 x-5 x^2\right) \log ^2(3)\right) \log (x)+\left(1-x-x^2+(-5-5 x) \log ^2(3)\right) \log ^2(x)\right)}{\log ^2(x)} \, dx","Integrate[(-x - x^2 - 5*x*Log[3]^2 + (2*x + 2*x^2 - x^3 + (10*x - 5*x^2)*Log[3]^2)*Log[x] + (1 - x - x^2 + (-5 - 5*x)*Log[3]^2)*Log[x]^2)/(E^x*Log[x]^2),x]","\frac{e^{-x} \left(x+1+5 \log ^2(3)\right) \left(x^2+(x+2) \log (x)\right)}{\log (x)}","5 e^{-x} \left(\frac{x+1}{5}+\log ^2(3)\right) \left(\frac{x^2}{\log (x)}+x+2\right)",1,"((1 + x + 5*Log[3]^2)*(x^2 + (2 + x)*Log[x]))/(E^x*Log[x])","A",1
242,1,24,24,0.2280756,"\int \frac{\left(37500-15036 x-2484 x^2+4 x^3+\left(30000-15048 x+24 x^2\right) \log (625-x)\right) \log \left(\frac{-30 x^2+10 x^3}{5+x+4 \log (625-x)}\right)}{9375 x-1265 x^2-623 x^3+x^4+\left(7500 x-2512 x^2+4 x^3\right) \log (625-x)} \, dx","Integrate[((37500 - 15036*x - 2484*x^2 + 4*x^3 + (30000 - 15048*x + 24*x^2)*Log[625 - x])*Log[(-30*x^2 + 10*x^3)/(5 + x + 4*Log[625 - x])])/(9375*x - 1265*x^2 - 623*x^3 + x^4 + (7500*x - 2512*x^2 + 4*x^3)*Log[625 - x]),x]","\log ^2\left(\frac{10 (x-3) x^2}{x+4 \log (625-x)+5}\right)","\log ^2\left(\frac{10 (x-3) x^2}{x+4 \log (625-x)+5}\right)",1,"Log[(10*(-3 + x)*x^2)/(5 + x + 4*Log[625 - x])]^2","A",1
243,1,21,22,0.0048826,"\int \left(-e^e+e^5 (-1-2 x)\right) \, dx","Integrate[-E^E + E^5*(-1 - 2*x),x]","-e^5 x^2-e^e x-e^5 x","e^5 \left(-\left(\left(x+e^{e-5}\right) x\right)-x+16 \log (4)\right)",1,"-(E^5*x) - E^E*x - E^5*x^2","A",1
244,1,17,20,0.0330347,"\int \frac{-3 \log (3)-3 \log (3) \log (x)+\left(-x+x^2\right) \log ^2(x)}{x^2 \log ^2(x)} \, dx","Integrate[(-3*Log[3] - 3*Log[3]*Log[x] + (-x + x^2)*Log[x]^2)/(x^2*Log[x]^2),x]","x-\log (x)+\frac{3 \log (3)}{x \log (x)}","x-\log (x)+\frac{3 \log (3)}{x \log (x)}+e^3",1,"x + (3*Log[3])/(x*Log[x]) - Log[x]","A",1
245,1,917,23,1.3408847,"\int \frac{-192+56 x-64 (i \pi +\log (3))+(-96+30 x-32 (i \pi +\log (3))) \log (3+i \pi -x+\log (3))+(-12+4 x-4 (i \pi +\log (3))) \log ^2(3+i \pi -x+\log (3))}{3 x^5-x^6+x^5 (i \pi +\log (3))} \, dx","Integrate[(-192 + 56*x - 64*(I*Pi + Log[3]) + (-96 + 30*x - 32*(I*Pi + Log[3]))*Log[3 + I*Pi - x + Log[3]] + (-12 + 4*x - 4*(I*Pi + Log[3]))*Log[3 + I*Pi - x + Log[3]]^2)/(3*x^5 - x^6 + x^5*(I*Pi + Log[3])),x]","\frac{1}{6} \left(\frac{3 (2 \pi -i (6+\log (9))) \log ^2(-x+\log (3)+i \pi +3)}{x^4 (\pi -i (3+\log (3)))}+\frac{12 (4 \pi -i (12+\log (81))) \log (-x+\log (3)+i \pi +3)}{x^4 (\pi -i (3+\log (3)))}+\frac{6 (\log (-x+\log (3)+i \pi +3)+4)^2}{(\pi -i (3+\log (3)))^4}+\frac{12 \log (x)}{(\pi -i (3+\log (3)))^4}-\frac{12 \log (-i (x-\log (3)-3)-\pi )}{(\pi -i (3+\log (3)))^4}+\frac{4 \log (x) x^2-4 \log (-i (x-\log (3)-3)-\pi ) x^2+2 (\pi -i (3+\log (3))) (\pi -i (2 x+\log (3)+3))}{x^2 (\pi -i (3+\log (3)))^4}+\frac{2 (12+4 i \pi +\log (81)) \left(-6 i \log (x) x^3+6 i \log (-i (x-\log (3)-3)-\pi ) x^3+(\pi -i (3+\log (3))) \left(-6 x^2-3 (3+\log (3)) x-i \pi  (3 x+\log (81)+12)-2 (3+\log (3))^2+2 \pi ^2\right)\right)}{x^3 (\pi -i (3+\log (3)))^5}-\frac{12 \log \left(\frac{x}{3+i \pi +\log (3)}\right) (\log (-x+\log (3)+i \pi +3)+4)}{(\pi -i (3+\log (3)))^4}-\frac{6 (\log (-x+\log (3)+i \pi +3)+4)}{x^2 (\pi -i (3+\log (3)))^2}+\frac{4 (\log (-x+\log (3)+i \pi +3)+4)}{x^3 (3+i \pi +\log (3))}+\frac{12 (\log (-x+\log (3)+i \pi +3)+4)}{x (3+i \pi +\log (3))^3}+\frac{6 (x \log (x)-x \log (-i x+i (3+\log (3))-\pi )-\log (3)-i \pi -3)}{x (\pi -i (3+\log (3)))^4}-\frac{12 \text{Li}_2\left(\frac{-x+\log (3)+i \pi +3}{3+i \pi +\log (3)}\right)}{(\pi -i (3+\log (3)))^4}+\frac{(2 \pi -i (6+\log (9))) \left(\frac{3 \log ^2(-x+\log (3)+i \pi +3)}{(\pi -i (3+\log (3)))^4}-\frac{6 \log \left(\frac{x}{3+i \pi +\log (3)}\right) \log (-x+\log (3)+i \pi +3)}{(\pi -i (3+\log (3)))^4}-\frac{3 \log (-x+\log (3)+i \pi +3)}{x^2 (\pi -i (3+\log (3)))^2}+\frac{2 \log (-x+\log (3)+i \pi +3)}{x^3 (3+i \pi +\log (3))}+\frac{6 \log (-x+\log (3)+i \pi +3)}{x (3+i \pi +\log (3))^3}+\frac{11 \log (x)}{(\pi -i (3+\log (3)))^4}-\frac{9 \log (-i (x-\log (3)-3)-\pi )}{(\pi -i (3+\log (3)))^4}-\frac{2 \log (-i (x-\log (3)-3)-\pi )}{(3+i \pi +\log (3))^4}-\frac{6 \text{Li}_2\left(\frac{-x+\log (3)+i \pi +3}{3+i \pi +\log (3)}\right)}{(\pi -i (3+\log (3)))^4}-\frac{5 i}{x (\pi -i (3+\log (3)))^3}-\frac{1}{x^2 (3+i \pi +\log (3))^2}\right)}{-\pi +i (3+\log (3))}+\frac{96}{x^4}\right)","\frac{(-4-\log (-x+i \pi +3+\log (3)))^2}{x^4}",1,"(96/x^4 + (12*Log[x])/(Pi - I*(3 + Log[3]))^4 - (12*Log[-Pi - I*(-3 + x - Log[3])])/(Pi - I*(3 + Log[3]))^4 + (2*(Pi - I*(3 + Log[3]))*(Pi - I*(3 + 2*x + Log[3])) + 4*x^2*Log[x] - 4*x^2*Log[-Pi - I*(-3 + x - Log[3])])/(x^2*(Pi - I*(3 + Log[3]))^4) + (2*(12 + (4*I)*Pi + Log[81])*((Pi - I*(3 + Log[3]))*(2*Pi^2 - 6*x^2 - 3*x*(3 + Log[3]) - 2*(3 + Log[3])^2 - I*Pi*(12 + 3*x + Log[81])) - (6*I)*x^3*Log[x] + (6*I)*x^3*Log[-Pi - I*(-3 + x - Log[3])]))/(x^3*(Pi - I*(3 + Log[3]))^5) + (12*(4*Pi - I*(12 + Log[81]))*Log[3 + I*Pi - x + Log[3]])/(x^4*(Pi - I*(3 + Log[3]))) + (3*(2*Pi - I*(6 + Log[9]))*Log[3 + I*Pi - x + Log[3]]^2)/(x^4*(Pi - I*(3 + Log[3]))) + (12*(4 + Log[3 + I*Pi - x + Log[3]]))/(x*(3 + I*Pi + Log[3])^3) + (4*(4 + Log[3 + I*Pi - x + Log[3]]))/(x^3*(3 + I*Pi + Log[3])) - (6*(4 + Log[3 + I*Pi - x + Log[3]]))/(x^2*(Pi - I*(3 + Log[3]))^2) - (12*Log[x/(3 + I*Pi + Log[3])]*(4 + Log[3 + I*Pi - x + Log[3]]))/(Pi - I*(3 + Log[3]))^4 + (6*(4 + Log[3 + I*Pi - x + Log[3]])^2)/(Pi - I*(3 + Log[3]))^4 + (6*(-3 - I*Pi - Log[3] + x*Log[x] - x*Log[-Pi - I*x + I*(3 + Log[3])]))/(x*(Pi - I*(3 + Log[3]))^4) - (12*PolyLog[2, (3 + I*Pi - x + Log[3])/(3 + I*Pi + Log[3])])/(Pi - I*(3 + Log[3]))^4 + ((2*Pi - I*(6 + Log[9]))*(-(1/(x^2*(3 + I*Pi + Log[3])^2)) - (5*I)/(x*(Pi - I*(3 + Log[3]))^3) + (11*Log[x])/(Pi - I*(3 + Log[3]))^4 - (2*Log[-Pi - I*(-3 + x - Log[3])])/(3 + I*Pi + Log[3])^4 - (9*Log[-Pi - I*(-3 + x - Log[3])])/(Pi - I*(3 + Log[3]))^4 + (6*Log[3 + I*Pi - x + Log[3]])/(x*(3 + I*Pi + Log[3])^3) + (2*Log[3 + I*Pi - x + Log[3]])/(x^3*(3 + I*Pi + Log[3])) - (3*Log[3 + I*Pi - x + Log[3]])/(x^2*(Pi - I*(3 + Log[3]))^2) - (6*Log[x/(3 + I*Pi + Log[3])]*Log[3 + I*Pi - x + Log[3]])/(Pi - I*(3 + Log[3]))^4 + (3*Log[3 + I*Pi - x + Log[3]]^2)/(Pi - I*(3 + Log[3]))^4 - (6*PolyLog[2, (3 + I*Pi - x + Log[3])/(3 + I*Pi + Log[3])])/(Pi - I*(3 + Log[3]))^4))/(-Pi + I*(3 + Log[3])))/6","C",0
246,1,30,35,0.1701082,"\int \frac{1}{3} \exp \left(\frac{1}{3} \left(15-52 x+9 x^2-5 x^3+e^3 (-21+15 x)\right)\right) \left(-52+15 e^3+18 x-15 x^2\right) \, dx","Integrate[(E^((15 - 52*x + 9*x^2 - 5*x^3 + E^3*(-21 + 15*x))/3)*(-52 + 15*E^3 + 18*x - 15*x^2))/3,x]","\exp \left(-\frac{5 x^3}{3}+3 x^2-\frac{52 x}{3}+e^3 (5 x-7)+5\right)","\exp \left((7-5 x) \left(\frac{1}{3} \left(x^2-x\right)-e^3+2\right)-(x+3)^2+x\right)",1,"E^(5 - (52*x)/3 + 3*x^2 - (5*x^3)/3 + E^3*(-7 + 5*x))","A",1
247,1,22,26,0.1365758,"\int \frac{e^{\frac{1089+132 x+e x-194 x^2-12 x^3+9 x^4}{x}} \left(-39204-6984 x^2-864 x^3+972 x^4\right)}{x^2} \, dx","Integrate[(E^((1089 + 132*x + E*x - 194*x^2 - 12*x^3 + 9*x^4)/x)*(-39204 - 6984*x^2 - 864*x^3 + 972*x^4))/x^2,x]","36 e^{\frac{\left(-3 x^2+2 x+33\right)^2}{x}+e}","36 e^{\frac{(4-3 (5-x))^2 (x+3)^2}{x}+e}",1,"36*E^(E + (33 + 2*x - 3*x^2)^2/x)","A",1
248,1,26,24,0.0582526,"\int \frac{-45-80 x^4+e^{2 x} \left(-9-16 x^4+32 x^5\right)}{80 x^5+16 e^{2 x} x^5} \, dx","Integrate[(-45 - 80*x^4 + E^(2*x)*(-9 - 16*x^4 + 32*x^5))/(80*x^5 + 16*E^(2*x)*x^5),x]","\frac{1}{16} \left(\frac{9}{4 x^4}+16 \log \left(e^{2 x}+5\right)-16 \log (x)\right)","\frac{9}{64 x^4}-\log \left(\frac{4 x}{e^{2 x}+5}\right)+1",1,"(9/(4*x^4) + 16*Log[5 + E^(2*x)] - 16*Log[x])/16","A",1
249,1,17,23,0.0331167,"\int \frac{-15 x^2 \log (4)+45 x^2 \log (4) \log (x)+4 \log ^2(x)}{5 \log ^2(x)} \, dx","Integrate[(-15*x^2*Log[4] + 45*x^2*Log[4]*Log[x] + 4*Log[x]^2)/(5*Log[x]^2),x]","\frac{3 x^3 \log (4)}{\log (x)}+\frac{4 x}{5}","\frac{3 x^3 \log (4)}{\log (x)}+x+\frac{1}{5} (-x-2)-6",1,"(4*x)/5 + (3*x^3*Log[4])/Log[x]","A",1
250,1,25,25,0.0752417,"\int \frac{4 x+e^x \left(3-4 x+3 x^2\right)+e^x \left(3 x+6 x^2+3 x^3\right) \log (x)}{4 x} \, dx","Integrate[(4*x + E^x*(3 - 4*x + 3*x^2) + E^x*(3*x + 6*x^2 + 3*x^3)*Log[x])/(4*x),x]","\frac{1}{4} \left(3 e^x \left(x^2+1\right) \log (x)+4 x-4 e^x\right)","\frac{1}{4} e^x \left(3 \left(x^2 \log (x)+\log (x)\right)-4\right)+x+\frac{1}{10}",1,"(-4*E^x + 4*x + 3*E^x*(1 + x^2)*Log[x])/4","A",1
251,1,27,28,0.0034438,"\int \frac{-3-x+21 x^2+84 x^3+63 x^4}{5 x^2} \, dx","Integrate[(-3 - x + 21*x^2 + 84*x^3 + 63*x^4)/(5*x^2),x]","\frac{1}{5} \left(21 x^3+42 x^2+21 x+\frac{3}{x}-\log (x)\right)","\frac{21 \left(-x^2-x\right)^2+x-x \log (x)+3}{5 x}",1,"(3/x + 21*x + 42*x^2 + 21*x^3 - Log[x])/5","A",1
252,1,17,17,0.0247848,"\int \frac{20+4 x}{6 x^2+e^x x^2+x^3+\left(-12 x-2 e^x x-2 x^2\right) \log \left(30+5 e^x+5 x\right)+\left(6+e^x+x\right) \log ^2\left(30+5 e^x+5 x\right)} \, dx","Integrate[(20 + 4*x)/(6*x^2 + E^x*x^2 + x^3 + (-12*x - 2*E^x*x - 2*x^2)*Log[30 + 5*E^x + 5*x] + (6 + E^x + x)*Log[30 + 5*E^x + 5*x]^2),x]","-\frac{4}{x-\log \left(5 \left(x+e^x+6\right)\right)}","\frac{4}{\log \left(5 \left(x+e^x+6\right)\right)-x}",1,"-4/(x - Log[5*(6 + E^x + x)])","A",1
253,1,69,31,0.6036329,"\int \frac{409600+e^x (-384000-15360 x)+16384 x+e^{3 x} \left(-12500-16500 x-640 x^2\right)+e^{2 x} \left(120000+56000 x+49152 x^2+2048 x^3\right)+\left(2457600+e^x (-1536000-61440 x)+98304 x+e^{2 x} \left(240000+112000 x+100352 x^2+4096 x^3\right)\right) \log \left(\frac{25+x}{5}\right)+\left(6758400+e^x (-2688000-107520 x)+270336 x+e^{2 x} \left(180000+84000 x+76800 x^2+3072 x^3\right)\right) \log ^2\left(\frac{25+x}{5}\right)+\left(11264000+e^x (-2688000-107520 x)+450560 x+e^{2 x} \left(60000+28000 x+26112 x^2+1024 x^3\right)\right) \log ^3\left(\frac{25+x}{5}\right)+\left(12672000+e^x (-1680000-67200 x)+506880 x+e^{2 x} \left(7500+3500 x+3328 x^2+128 x^3\right)\right) \log ^4\left(\frac{25+x}{5}\right)+\left(10137600+e^x (-672000-26880 x)+405504 x\right) \log ^5\left(\frac{25+x}{5}\right)+\left(5913600+e^x (-168000-6720 x)+236544 x\right) \log ^6\left(\frac{25+x}{5}\right)+\left(2534400+e^x (-24000-960 x)+101376 x\right) \log ^7\left(\frac{25+x}{5}\right)+\left(792000+e^x (-1500-60 x)+31680 x\right) \log ^8\left(\frac{25+x}{5}\right)+(176000+7040 x) \log ^9\left(\frac{25+x}{5}\right)+(26400+1056 x) \log ^{10}\left(\frac{25+x}{5}\right)+(2400+96 x) \log ^{11}\left(\frac{25+x}{5}\right)+(100+4 x) \log ^{12}\left(\frac{25+x}{5}\right)}{102400+e^x (-96000-3840 x)+e^{3 x} (-3125-125 x)+4096 x+e^{2 x} (30000+1200 x)+\left(614400+e^x (-384000-15360 x)+24576 x+e^{2 x} (60000+2400 x)\right) \log \left(\frac{25+x}{5}\right)+\left(1689600+e^x (-672000-26880 x)+67584 x+e^{2 x} (45000+1800 x)\right) \log ^2\left(\frac{25+x}{5}\right)+\left(2816000+e^x (-672000-26880 x)+112640 x+e^{2 x} (15000+600 x)\right) \log ^3\left(\frac{25+x}{5}\right)+\left(3168000+e^x (-420000-16800 x)+126720 x+e^{2 x} (1875+75 x)\right) \log ^4\left(\frac{25+x}{5}\right)+\left(2534400+e^x (-168000-6720 x)+101376 x\right) \log ^5\left(\frac{25+x}{5}\right)+\left(1478400+e^x (-42000-1680 x)+59136 x\right) \log ^6\left(\frac{25+x}{5}\right)+\left(633600+e^x (-6000-240 x)+25344 x\right) \log ^7\left(\frac{25+x}{5}\right)+\left(198000+e^x (-375-15 x)+7920 x\right) \log ^8\left(\frac{25+x}{5}\right)+(44000+1760 x) \log ^9\left(\frac{25+x}{5}\right)+(6600+264 x) \log ^{10}\left(\frac{25+x}{5}\right)+(600+24 x) \log ^{11}\left(\frac{25+x}{5}\right)+(25+x) \log ^{12}\left(\frac{25+x}{5}\right)} \, dx","Integrate[(409600 + E^x*(-384000 - 15360*x) + 16384*x + E^(3*x)*(-12500 - 16500*x - 640*x^2) + E^(2*x)*(120000 + 56000*x + 49152*x^2 + 2048*x^3) + (2457600 + E^x*(-1536000 - 61440*x) + 98304*x + E^(2*x)*(240000 + 112000*x + 100352*x^2 + 4096*x^3))*Log[(25 + x)/5] + (6758400 + E^x*(-2688000 - 107520*x) + 270336*x + E^(2*x)*(180000 + 84000*x + 76800*x^2 + 3072*x^3))*Log[(25 + x)/5]^2 + (11264000 + E^x*(-2688000 - 107520*x) + 450560*x + E^(2*x)*(60000 + 28000*x + 26112*x^2 + 1024*x^3))*Log[(25 + x)/5]^3 + (12672000 + E^x*(-1680000 - 67200*x) + 506880*x + E^(2*x)*(7500 + 3500*x + 3328*x^2 + 128*x^3))*Log[(25 + x)/5]^4 + (10137600 + E^x*(-672000 - 26880*x) + 405504*x)*Log[(25 + x)/5]^5 + (5913600 + E^x*(-168000 - 6720*x) + 236544*x)*Log[(25 + x)/5]^6 + (2534400 + E^x*(-24000 - 960*x) + 101376*x)*Log[(25 + x)/5]^7 + (792000 + E^x*(-1500 - 60*x) + 31680*x)*Log[(25 + x)/5]^8 + (176000 + 7040*x)*Log[(25 + x)/5]^9 + (26400 + 1056*x)*Log[(25 + x)/5]^10 + (2400 + 96*x)*Log[(25 + x)/5]^11 + (100 + 4*x)*Log[(25 + x)/5]^12)/(102400 + E^x*(-96000 - 3840*x) + E^(3*x)*(-3125 - 125*x) + 4096*x + E^(2*x)*(30000 + 1200*x) + (614400 + E^x*(-384000 - 15360*x) + 24576*x + E^(2*x)*(60000 + 2400*x))*Log[(25 + x)/5] + (1689600 + E^x*(-672000 - 26880*x) + 67584*x + E^(2*x)*(45000 + 1800*x))*Log[(25 + x)/5]^2 + (2816000 + E^x*(-672000 - 26880*x) + 112640*x + E^(2*x)*(15000 + 600*x))*Log[(25 + x)/5]^3 + (3168000 + E^x*(-420000 - 16800*x) + 126720*x + E^(2*x)*(1875 + 75*x))*Log[(25 + x)/5]^4 + (2534400 + E^x*(-168000 - 6720*x) + 101376*x)*Log[(25 + x)/5]^5 + (1478400 + E^x*(-42000 - 1680*x) + 59136*x)*Log[(25 + x)/5]^6 + (633600 + E^x*(-6000 - 240*x) + 25344*x)*Log[(25 + x)/5]^7 + (198000 + E^x*(-375 - 15*x) + 7920*x)*Log[(25 + x)/5]^8 + (44000 + 1760*x)*Log[(25 + x)/5]^9 + (6600 + 264*x)*Log[(25 + x)/5]^10 + (600 + 24*x)*Log[(25 + x)/5]^11 + (25 + x)*Log[(25 + x)/5]^12),x]","-4 \left(-\frac{16 e^{2 x} x^2}{\left(-5 e^x+\log ^4\left(\frac{x}{5}+5\right)+8 \log ^3\left(\frac{x}{5}+5\right)+24 \log ^2\left(\frac{x}{5}+5\right)+32 \log \left(\frac{x}{5}+5\right)+16\right)^2}-x\right)","4 \left(\frac{16 x^2}{\left(e^{-x} \left(\log \left(\frac{x}{5}+5\right)+2\right)^4-5\right)^2}+x\right)",1,"-4*(-x - (16*E^(2*x)*x^2)/(16 - 5*E^x + 32*Log[5 + x/5] + 24*Log[5 + x/5]^2 + 8*Log[5 + x/5]^3 + Log[5 + x/5]^4)^2)","B",1
254,0,0,29,5.8683751,"\int \left(e^{2 e^x+8 x+2 e^x x-2 x \log \left(x^2 \log (2)\right)} \left(4+e^x (4+2 x)-2 \log \left(x^2 \log (2)\right)\right)+e^{e^x+4 x+e^x x-x \log \left(x^2 \log (2)\right)} \left(-4 \log (3)+e^x (-4-2 x) \log (3)+2 \log (3) \log \left(x^2 \log (2)\right)\right)\right) \, dx","Integrate[E^(2*E^x + 8*x + 2*E^x*x - 2*x*Log[x^2*Log[2]])*(4 + E^x*(4 + 2*x) - 2*Log[x^2*Log[2]]) + E^(E^x + 4*x + E^x*x - x*Log[x^2*Log[2]])*(-4*Log[3] + E^x*(-4 - 2*x)*Log[3] + 2*Log[3]*Log[x^2*Log[2]]),x]","\int \left(e^{2 e^x+8 x+2 e^x x-2 x \log \left(x^2 \log (2)\right)} \left(4+e^x (4+2 x)-2 \log \left(x^2 \log (2)\right)\right)+e^{e^x+4 x+e^x x-x \log \left(x^2 \log (2)\right)} \left(-4 \log (3)+e^x (-4-2 x) \log (3)+2 \log (3) \log \left(x^2 \log (2)\right)\right)\right) \, dx","\left(e^{x \left(-\log \left(x^2 \log (2)\right)+e^x+4\right)+e^x}-\log (3)\right)^2",1,"Integrate[E^(2*E^x + 8*x + 2*E^x*x - 2*x*Log[x^2*Log[2]])*(4 + E^x*(4 + 2*x) - 2*Log[x^2*Log[2]]) + E^(E^x + 4*x + E^x*x - x*Log[x^2*Log[2]])*(-4*Log[3] + E^x*(-4 - 2*x)*Log[3] + 2*Log[3]*Log[x^2*Log[2]]), x]","F",-1
255,1,32,22,0.1474713,"\int \frac{3750 x+300 x^2+6 x^3+\left(4000 x^2+300 x^3+6 x^4\right) \log (x)+\left(\left(4000 x^2+310 x^3+6 x^4\right) \log (x)+\left(3750 x+300 x^2+6 x^3\right) \log (x) \log (\log (x))\right) \log \left(\frac{6400 x^2+480 x^3+9 x^4+\left(12000 x+930 x^2+18 x^3\right) \log (\log (x))+\left(5625+450 x+9 x^2\right) \log ^2(\log (x))}{5625+450 x+9 x^2}\right)}{\left(2000 x+155 x^2+3 x^3\right) \log (x)+\left(1875+150 x+3 x^2\right) \log (x) \log (\log (x))} \, dx","Integrate[(3750*x + 300*x^2 + 6*x^3 + (4000*x^2 + 300*x^3 + 6*x^4)*Log[x] + ((4000*x^2 + 310*x^3 + 6*x^4)*Log[x] + (3750*x + 300*x^2 + 6*x^3)*Log[x]*Log[Log[x]])*Log[(6400*x^2 + 480*x^3 + 9*x^4 + (12000*x + 930*x^2 + 18*x^3)*Log[Log[x]] + (5625 + 450*x + 9*x^2)*Log[Log[x]]^2)/(5625 + 450*x + 9*x^2)])/((2000*x + 155*x^2 + 3*x^3)*Log[x] + (1875 + 150*x + 3*x^2)*Log[x]*Log[Log[x]]),x]","x^2 \log \left(\frac{(x (3 x+80)+3 (x+25) \log (\log (x)))^2}{9 (x+25)^2}\right)","x^2 \log \left(\left(\frac{5 x}{3 (x+25)}+x+\log (\log (x))\right)^2\right)",1,"x^2*Log[(x*(80 + 3*x) + 3*(25 + x)*Log[Log[x]])^2/(9*(25 + x)^2)]","A",1
256,0,0,30,0.8892898,"\int \frac{x^3 \log (2)+\left(18 x^2-3 x^3\right) \log (2) \log (6-x)+\left(12 x-2 x^2+(-12+2 x) \log (2)\right) \log ^2(6-x)}{\left(6 x^3-x^4\right) \log (2) \log (6-x)+\left(6 x^2-x^3+\left(6-13 x+2 x^2\right) \log (2)\right) \log ^2(6-x)} \, dx","Integrate[(x^3*Log[2] + (18*x^2 - 3*x^3)*Log[2]*Log[6 - x] + (12*x - 2*x^2 + (-12 + 2*x)*Log[2])*Log[6 - x]^2)/((6*x^3 - x^4)*Log[2]*Log[6 - x] + (6*x^2 - x^3 + (6 - 13*x + 2*x^2)*Log[2])*Log[6 - x]^2),x]","\int \frac{x^3 \log (2)+\left(18 x^2-3 x^3\right) \log (2) \log (6-x)+\left(12 x-2 x^2+(-12+2 x) \log (2)\right) \log ^2(6-x)}{\left(6 x^3-x^4\right) \log (2) \log (6-x)+\left(6 x^2-x^3+\left(6-13 x+2 x^2\right) \log (2)\right) \log ^2(6-x)} \, dx","\log \left(x^2-x \log (2) \left(-\frac{x^2}{\log (6-x)}-\frac{1}{x}+2\right)\right)",1,"Integrate[(x^3*Log[2] + (18*x^2 - 3*x^3)*Log[2]*Log[6 - x] + (12*x - 2*x^2 + (-12 + 2*x)*Log[2])*Log[6 - x]^2)/((6*x^3 - x^4)*Log[2]*Log[6 - x] + (6*x^2 - x^3 + (6 - 13*x + 2*x^2)*Log[2])*Log[6 - x]^2), x]","F",-1
257,1,43,22,0.1602684,"\int \frac{1}{9} e^{-2 x} \left(e^{2 x} (1024+256 x)+e^{2+x} \left(1024-320 x^2-64 x^3\right)+e^4 \left(256 x-64 x^2-96 x^3-16 x^4\right)\right) \, dx","Integrate[(E^(2*x)*(1024 + 256*x) + E^(2 + x)*(1024 - 320*x^2 - 64*x^3) + E^4*(256*x - 64*x^2 - 96*x^3 - 16*x^4))/(9*E^(2*x)),x]","\frac{8}{9} e^{-2 x} x \left(8 e^{x+2} (x+4)^2+e^4 x (x+4)^2+16 e^{2 x} (x+8)\right)","\frac{8}{9} (x+4)^2 \left(e^{2-x} x+4\right)^2",1,"(8*x*(8*E^(2 + x)*(4 + x)^2 + E^4*x*(4 + x)^2 + 16*E^(2*x)*(8 + x)))/(9*E^(2*x))","A",1
258,1,19,19,0.7014594,"\int \frac{e^{\frac{1}{x+10 \log (25)+\log \left(\frac{\log (4)}{-16+x}\right)}} (17-x)}{-16 x^2+x^3+\left(-320 x+20 x^2\right) \log (25)+(-1600+100 x) \log ^2(25)+\left(-32 x+2 x^2+(-320+20 x) \log (25)\right) \log \left(\frac{\log (4)}{-16+x}\right)+(-16+x) \log ^2\left(\frac{\log (4)}{-16+x}\right)} \, dx","Integrate[(E^(x + 10*Log[25] + Log[Log[4]/(-16 + x)])^(-1)*(17 - x))/(-16*x^2 + x^3 + (-320*x + 20*x^2)*Log[25] + (-1600 + 100*x)*Log[25]^2 + (-32*x + 2*x^2 + (-320 + 20*x)*Log[25])*Log[Log[4]/(-16 + x)] + (-16 + x)*Log[Log[4]/(-16 + x)]^2),x]","e^{\frac{1}{x+\log \left(\frac{\log (4)}{x-16}\right)+10 \log (25)}}","e^{\frac{1}{x+\log \left(\frac{\log (4)}{x-16}\right)+10 \log (25)}}",1,"E^(x + 10*Log[25] + Log[Log[4]/(-16 + x)])^(-1)","A",1
259,1,31,22,0.0035786,"\int \frac{x^2 \log (8+e)-\log (8+e) \log \left(\frac{\log (4)}{x}\right)}{x^2} \, dx","Integrate[(x^2*Log[8 + E] - Log[8 + E]*Log[Log[4]/x])/x^2,x]","x \log (8+e)+\frac{\log (8+e) \log \left(\frac{\log (4)}{x}\right)}{x}-\frac{\log (8+e)}{x}","\log (8+e) \left(x+\frac{x+\log \left(\frac{\log (4)}{x}\right)-1}{x}+1\right)",1,"-(Log[8 + E]/x) + x*Log[8 + E] + (Log[8 + E]*Log[Log[4]/x])/x","A",1
260,1,43,26,0.138032,"\int \frac{-20-275 x^2+120 x^3-638 x^4+500 x^5-150 x^6+20 x^7-x^8+e^{4 x} \left(-625+500 x-150 x^2+20 x^3-x^4\right)+e^{3 x} \left(2500 x-2000 x^2+600 x^3-80 x^4+4 x^5\right)+e^{2 x} \left(-225+50 x-3741 x^2+2998 x^3-900 x^4+120 x^5-6 x^6\right)+e^x \left(500 x-170 x^2+2504 x^3-1998 x^4+600 x^5-80 x^6+4 x^7\right)}{25+250 x^2-100 x^3+635 x^4-500 x^5+150 x^6-20 x^7+x^8+e^{4 x} \left(625-500 x+150 x^2-20 x^3+x^4\right)+e^{3 x} \left(-2500 x+2000 x^2-600 x^3+80 x^4-4 x^5\right)+e^{2 x} \left(250-100 x+3760 x^2-3000 x^3+900 x^4-120 x^5+6 x^6\right)+e^x \left(-500 x+200 x^2-2520 x^3+2000 x^4-600 x^5+80 x^6-4 x^7\right)} \, dx","Integrate[(-20 - 275*x^2 + 120*x^3 - 638*x^4 + 500*x^5 - 150*x^6 + 20*x^7 - x^8 + E^(4*x)*(-625 + 500*x - 150*x^2 + 20*x^3 - x^4) + E^(3*x)*(2500*x - 2000*x^2 + 600*x^3 - 80*x^4 + 4*x^5) + E^(2*x)*(-225 + 50*x - 3741*x^2 + 2998*x^3 - 900*x^4 + 120*x^5 - 6*x^6) + E^x*(500*x - 170*x^2 + 2504*x^3 - 1998*x^4 + 600*x^5 - 80*x^6 + 4*x^7))/(25 + 250*x^2 - 100*x^3 + 635*x^4 - 500*x^5 + 150*x^6 - 20*x^7 + x^8 + E^(4*x)*(625 - 500*x + 150*x^2 - 20*x^3 + x^4) + E^(3*x)*(-2500*x + 2000*x^2 - 600*x^3 + 80*x^4 - 4*x^5) + E^(2*x)*(250 - 100*x + 3760*x^2 - 3000*x^3 + 900*x^4 - 120*x^5 + 6*x^6) + E^x*(-500*x + 200*x^2 - 2520*x^3 + 2000*x^4 - 600*x^5 + 80*x^6 - 4*x^7)),x]","x \left(\frac{1}{x^4-10 x^3+25 x^2-2 e^x (x-5)^2 x+e^{2 x} (x-5)^2+5}-1\right)","\frac{x}{\left(e^x-x\right)^2 (x-5)^2+5}-x-79",1,"x*(-1 + (5 + E^(2*x)*(-5 + x)^2 - 2*E^x*(-5 + x)^2*x + 25*x^2 - 10*x^3 + x^4)^(-1))","A",1
261,1,27,28,1.2185765,"\int \frac{\left(2 x-x^2-x^3\right) \log (-2-x) \log (1-x)+\frac{e^{-x} \log (-2-x) \left(\left(-2 x-x^2\right) \log (-2-x)+\left(-x+x^2+\left(2+x-2 x^2-x^3\right) \log (-2-x)\right) \log (1-x)\right)}{x \log (1-x)}}{\left(-2 x+x^2+x^3\right) \log (-2-x) \log (1-x)} \, dx","Integrate[((2*x - x^2 - x^3)*Log[-2 - x]*Log[1 - x] + (Log[-2 - x]*((-2*x - x^2)*Log[-2 - x] + (-x + x^2 + (2 + x - 2*x^2 - x^3)*Log[-2 - x])*Log[1 - x]))/(E^x*x*Log[1 - x]))/((-2*x + x^2 + x^3)*Log[-2 - x]*Log[1 - x]),x]","\frac{e^{-x} \log (-x-2)}{x \log (1-x)}-x","-x+\frac{e^{-x} \log (-x-2)}{x \log (1-x)}+3",1,"-x + Log[-2 - x]/(E^x*x*Log[1 - x])","A",1
262,1,17,20,0.0107456,"\int \frac{-1080 e^4+\left(25+10 x+x^2\right) \log (2)}{25+10 x+x^2} \, dx","Integrate[(-1080*E^4 + (25 + 10*x + x^2)*Log[2])/(25 + 10*x + x^2),x]","\frac{1080 e^4}{x+5}+(x+5) \log (2)","\frac{120 e^4 (4-x)}{x+5}+x \log (2)",1,"(1080*E^4)/(5 + x) + (5 + x)*Log[2]","A",1
263,1,25,23,0.1451033,"\int \frac{325 x^2+\left(8-75 x^2\right) \log (x)+3 \log ^2(x)-\log ^3(x)}{-100 x^3+25 x^3 \log (x)-4 x \log ^2(x)+x \log ^3(x)} \, dx","Integrate[(325*x^2 + (8 - 75*x^2)*Log[x] + 3*Log[x]^2 - Log[x]^3)/(-100*x^3 + 25*x^3*Log[x] - 4*x*Log[x]^2 + x*Log[x]^3),x]","-\log \left(25 x^2+\log ^2(x)\right)-\log (x)+\log (4-\log (x))","\log \left(\frac{\log (x)-4}{x \left(-25 x^2-\log ^2(x)\right)}\right)",1,"-Log[x] + Log[4 - Log[x]] - Log[25*x^2 + Log[x]^2]","A",1
264,0,0,18,0.3196508,"\int \frac{3 x+4 x^2+x^3+\left(64 x+32 x^2\right) \log ^2(x) \log ^3\left(3+4 x+x^2\right)+\left(24+32 x+8 x^2\right) \log (x) \log ^4\left(3+4 x+x^2\right)}{3 x+4 x^2+x^3} \, dx","Integrate[(3*x + 4*x^2 + x^3 + (64*x + 32*x^2)*Log[x]^2*Log[3 + 4*x + x^2]^3 + (24 + 32*x + 8*x^2)*Log[x]*Log[3 + 4*x + x^2]^4)/(3*x + 4*x^2 + x^3),x]","\int \frac{3 x+4 x^2+x^3+\left(64 x+32 x^2\right) \log ^2(x) \log ^3\left(3+4 x+x^2\right)+\left(24+32 x+8 x^2\right) \log (x) \log ^4\left(3+4 x+x^2\right)}{3 x+4 x^2+x^3} \, dx","x+4 \log ^2(x) \log ^4((x+1) (x+3))",1,"Integrate[(3*x + 4*x^2 + x^3 + (64*x + 32*x^2)*Log[x]^2*Log[3 + 4*x + x^2]^3 + (24 + 32*x + 8*x^2)*Log[x]*Log[3 + 4*x + x^2]^4)/(3*x + 4*x^2 + x^3), x]","F",-1
265,1,22,27,0.0222111,"\int \frac{x^2+e^{e^2} \left(e^{-2+x} (-1+x)+5 x^2\right)}{x^2} \, dx","Integrate[(x^2 + E^E^2*(E^(-2 + x)*(-1 + x) + 5*x^2))/x^2,x]","5 e^{e^2} x+x+\frac{e^{x+e^2-2}}{x}","x+e^{e^2} \left(5 x+\frac{e^{x-2}}{x}+1-\log (5)\right)+3",1,"E^(-2 + E^2 + x)/x + x + 5*E^E^2*x","A",1
266,1,20,17,0.0023911,"\int \frac{e^5-15 x-\log (5)+x \log (x)}{x} \, dx","Integrate[(E^5 - 15*x - Log[5] + x*Log[x])/x,x]","-16 x+x \log (x)-\log (5) \log (x)+e^5 \log (x)","x+\left(x+e^5-\log (5)\right) (\log (x)-17)+3",1,"-16*x + E^5*Log[x] + x*Log[x] - Log[5]*Log[x]","A",1
267,1,23,27,0.2768591,"\int \frac{4-2 \log (5)+e^{2 x} (4+4 x+(1-2 x) \log (5))}{216+288 x+96 x^2+\left(-144 x-96 x^2\right) \log (5)+24 x^2 \log ^2(5)} \, dx","Integrate[(4 - 2*Log[5] + E^(2*x)*(4 + 4*x + (1 - 2*x)*Log[5]))/(216 + 288*x + 96*x^2 + (-144*x - 96*x^2)*Log[5] + 24*x^2*Log[5]^2),x]","\frac{2-e^{2 x}}{24 (x (\log (5)-2)-3)}","\frac{2-e^{2 x}}{24 x \left(-\frac{3}{x}-2+\log (5)\right)}",1,"(2 - E^(2*x))/(24*(-3 + x*(-2 + Log[5])))","A",1
268,1,22,21,0.1097608,"\int \frac{-x+8 e^x x-16 e^{2 x} x+\left(x-8 e^x x+16 e^{2 x} x\right) \log (x)+\left(e^x-4 e^{2 x}\right) \log ^2(x)+e^x x \log ^3(x)}{\left(x-8 e^x x+16 e^{2 x} x\right) \log ^2(x)} \, dx","Integrate[(-x + 8*E^x*x - 16*E^(2*x)*x + (x - 8*E^x*x + 16*E^(2*x)*x)*Log[x] + (E^x - 4*E^(2*x))*Log[x]^2 + E^x*x*Log[x]^3)/((x - 8*E^x*x + 16*E^(2*x)*x)*Log[x]^2),x]","\frac{x}{\log (x)}+\frac{e^x \log (x)}{1-4 e^x}","\frac{x+\frac{\log ^2(x)}{e^{-x}-4}}{\log (x)}",1,"x/Log[x] + (E^x*Log[x])/(1 - 4*E^x)","A",1
269,1,21,29,0.0897877,"\int \frac{-2+2 x+x^2+e^{10+5 x} \left(-5-10 x-5 x^2\right)+e^x \left(1+2 x+x^2\right)}{1+2 x+x^2} \, dx","Integrate[(-2 + 2*x + x^2 + E^(10 + 5*x)*(-5 - 10*x - 5*x^2) + E^x*(1 + 2*x + x^2))/(1 + 2*x + x^2),x]","x+e^x-e^{5 x+10}+\frac{3}{x+1}","x+e^x-e^{5 (x+2)}+\frac{3}{x+1}+\frac{4}{\log (2)-3}",1,"E^x - E^(10 + 5*x) + x + 3/(1 + x)","A",1
270,1,34,28,0.0983712,"\int \frac{e^{10} (6-3 x)-3 x+7 x^2-3 x^3+e^5 \left(-3+16 x-7 x^2\right)+\left(3 x-x^2\right) \log (x)}{-3 x^3+x^4+e^{10} \left(-3 x+x^2\right)+e^5 \left(-6 x^2+2 x^3\right)} \, dx","Integrate[(E^10*(6 - 3*x) - 3*x + 7*x^2 - 3*x^3 + E^5*(-3 + 16*x - 7*x^2) + (3*x - x^2)*Log[x])/(-3*x^3 + x^4 + E^10*(-3*x + x^2) + E^5*(-6*x^2 + 2*x^3)),x]","\frac{e^5}{x+e^5}-\log (3-x)+\frac{\log (x)}{x+e^5}-2 \log (x)","-\log \left((x-3) x^2\right)+\frac{\log (x)-x}{x+e^5}-2+\log (2)",1,"E^5/(E^5 + x) - Log[3 - x] - 2*Log[x] + Log[x]/(E^5 + x)","A",1
271,1,28,31,0.1885499,"\int \frac{-e^2+\left(-5 e^2-20 x\right) \log \left(\frac{-e^2-4 x}{x}\right) \log \left(\frac{e^{2-e^4}}{\log \left(\frac{-e^2-4 x}{x}\right)}\right)+\left(e^2+4 x\right) \log \left(\frac{-e^2-4 x}{x}\right) \log \left(\frac{e^{2-e^4}}{\log \left(\frac{-e^2-4 x}{x}\right)}\right) \log \left(\log \left(\frac{e^{2-e^4}}{\log \left(\frac{-e^2-4 x}{x}\right)}\right)\right)}{\left(25 e^2+100 x\right) \log \left(\frac{-e^2-4 x}{x}\right) \log \left(\frac{e^{2-e^4}}{\log \left(\frac{-e^2-4 x}{x}\right)}\right)+\left(-10 e^2-40 x\right) \log \left(\frac{-e^2-4 x}{x}\right) \log \left(\frac{e^{2-e^4}}{\log \left(\frac{-e^2-4 x}{x}\right)}\right) \log \left(\log \left(\frac{e^{2-e^4}}{\log \left(\frac{-e^2-4 x}{x}\right)}\right)\right)+\left(e^2+4 x\right) \log \left(\frac{-e^2-4 x}{x}\right) \log \left(\frac{e^{2-e^4}}{\log \left(\frac{-e^2-4 x}{x}\right)}\right) \log ^2\left(\log \left(\frac{e^{2-e^4}}{\log \left(\frac{-e^2-4 x}{x}\right)}\right)\right)} \, dx","Integrate[(-E^2 + (-5*E^2 - 20*x)*Log[(-E^2 - 4*x)/x]*Log[E^(2 - E^4)/Log[(-E^2 - 4*x)/x]] + (E^2 + 4*x)*Log[(-E^2 - 4*x)/x]*Log[E^(2 - E^4)/Log[(-E^2 - 4*x)/x]]*Log[Log[E^(2 - E^4)/Log[(-E^2 - 4*x)/x]]])/((25*E^2 + 100*x)*Log[(-E^2 - 4*x)/x]*Log[E^(2 - E^4)/Log[(-E^2 - 4*x)/x]] + (-10*E^2 - 40*x)*Log[(-E^2 - 4*x)/x]*Log[E^(2 - E^4)/Log[(-E^2 - 4*x)/x]]*Log[Log[E^(2 - E^4)/Log[(-E^2 - 4*x)/x]]] + (E^2 + 4*x)*Log[(-E^2 - 4*x)/x]*Log[E^(2 - E^4)/Log[(-E^2 - 4*x)/x]]*Log[Log[E^(2 - E^4)/Log[(-E^2 - 4*x)/x]]]^2),x]","\frac{x}{\log \left(\log \left(\frac{1}{\log \left(-\frac{e^2}{x}-4\right)}\right)-e^4+2\right)-5}","\frac{x}{\log \left(\log \left(\frac{e^{2-e^4}}{\log \left(-\frac{e^2}{x}-4\right)}\right)\right)-5}",1,"x/(-5 + Log[2 - E^4 + Log[Log[-4 - E^2/x]^(-1)]])","A",1
272,1,27,21,0.0846978,"\int \frac{-300-480 x+e^{2 x} \left(50 x^2+100 x^3\right)+\left(60+120 x+e^{2 x} \left(-20 x^2-40 x^3\right)\right) \log (2+4 x)+e^{2 x} \left(2 x^2+4 x^3\right) \log ^2(2+4 x)}{25 x^2+50 x^3+\left(-10 x^2-20 x^3\right) \log (2+4 x)+\left(x^2+2 x^3\right) \log ^2(2+4 x)} \, dx","Integrate[(-300 - 480*x + E^(2*x)*(50*x^2 + 100*x^3) + (60 + 120*x + E^(2*x)*(-20*x^2 - 40*x^3))*Log[2 + 4*x] + E^(2*x)*(2*x^2 + 4*x^3)*Log[2 + 4*x]^2)/(25*x^2 + 50*x^3 + (-10*x^2 - 20*x^3)*Log[2 + 4*x] + (x^2 + 2*x^3)*Log[2 + 4*x]^2),x]","2 \left(\frac{e^{2 x}}{2}-\frac{30}{x (\log (4 x+2)-5)}\right)","e^{2 x}-\frac{60}{x (\log (4 x+2)-5)}",1,"2*(E^(2*x)/2 - 30/(x*(-5 + Log[2 + 4*x])))","A",1
273,1,10,14,0.0254744,"\int e^{2+2 x+x^5} \left(2+5 x^4\right) \, dx","Integrate[E^(2 + 2*x + x^5)*(2 + 5*x^4),x]","e^{x^5+2 x+2}","e^{\left(x^4+3\right) x-x+2}",1,"E^(2 + 2*x + x^5)","A",1
274,1,69,32,0.1338191,"\int \frac{-60 x+30 x^3+e^x \left(-20 x^3+10 x^5\right) \log (2)+\left(-120 x+40 e^x x^2 \log (2)\right) \log \left(\frac{3-e^x x \log (2)}{x \log (2)}\right)}{\left(-12+12 x^2-3 x^4+e^x \left(4 x-4 x^3+x^5\right) \log (2)\right) \log ^2\left(\frac{3-e^x x \log (2)}{x \log (2)}\right)} \, dx","Integrate[(-60*x + 30*x^3 + E^x*(-20*x^3 + 10*x^5)*Log[2] + (-120*x + 40*E^x*x^2*Log[2])*Log[(3 - E^x*x*Log[2])/(x*Log[2])])/((-12 + 12*x^2 - 3*x^4 + E^x*(4*x - 4*x^3 + x^5)*Log[2])*Log[(3 - E^x*x*Log[2])/(x*Log[2])]^2),x]","-\frac{10 x^2 \left(e^x x^4 \log (2)+3 x^2-e^x x^2 \log (4)-6\right)}{\left(x^2-2\right)^2 \left(e^x x^2 \log (2)+3\right) \log \left(\frac{3}{x \log (2)}-e^x\right)}","\frac{5 x}{\left(\frac{1}{x}-\frac{x}{2}\right) \log \left(\frac{3}{x \log (2)}-e^x\right)}",1,"(-10*x^2*(-6 + 3*x^2 + E^x*x^4*Log[2] - E^x*x^2*Log[4]))/((-2 + x^2)^2*(3 + E^x*x^2*Log[2])*Log[-E^x + 3/(x*Log[2])])","B",1
275,1,55,28,0.4329884,"\int \frac{e^x \left(e^{1+\frac{1}{4} (-2+x)} \left(36-27 x+3 x^2\right)+e \left(144-144 x+16 x^2\right)\right)}{192 x^2+96 e^{\frac{1}{4} (-2+x)} x^2+12 e^{\frac{1}{2} (-2+x)} x^2} \, dx","Integrate[(E^x*(E^(1 + (-2 + x)/4)*(36 - 27*x + 3*x^2) + E*(144 - 144*x + 16*x^2)))/(192*x^2 + 96*E^((-2 + x)/4)*x^2 + 12*E^((-2 + x)/2)*x^2),x]","\frac{e^{3/2} \left(e^x (x-9)+64 e^{\frac{x+6}{4}} x+256 e^2 x\right)}{3 \left(e^{x/4}+4 \sqrt{e}\right) x}","\frac{e^{x+1} (x-9)}{3 \left(e^{\frac{x-2}{4}}+4\right) x}",1,"(E^(3/2)*(E^x*(-9 + x) + 256*E^2*x + 64*E^((6 + x)/4)*x))/(3*(4*Sqrt[E] + E^(x/4))*x)","A",1
276,1,12,12,0.0122953,"\int \left(-1+e^x (9+3 x)\right) \, dx","Integrate[-1 + E^x*(9 + 3*x),x]","3 e^x (x+2)-x","3 e^x (x+2)-x",1,"-x + 3*E^x*(2 + x)","A",1
277,1,20,25,0.065842,"\int \left(3+\left(-8+4 x^2\right) \log ^3\left(\frac{e^{\frac{x^2}{2}}}{x^2}\right)+\log ^4\left(\frac{e^{\frac{x^2}{2}}}{x^2}\right)\right) \, dx","Integrate[3 + (-8 + 4*x^2)*Log[E^(x^2/2)/x^2]^3 + Log[E^(x^2/2)/x^2]^4,x]","x \left(\log ^4\left(\frac{e^{\frac{x^2}{2}}}{x^2}\right)+3\right)","\log \left(2 e^{x \left(\log ^4\left(\frac{e^{\frac{x^2}{2}}}{x^2}\right)+3\right)}\right)",1,"x*(3 + Log[E^(x^2/2)/x^2]^4)","A",1
278,1,13,13,0.0686029,"\int \frac{1}{2} e^{x^3-\frac{49 x^6}{4}} \left(6 x^2-147 x^5\right) \, dx","Integrate[(E^(x^3 - (49*x^6)/4)*(6*x^2 - 147*x^5))/2,x]","e^{x^3-\frac{49 x^6}{4}}","e^{x^3-\frac{49 x^6}{4}}",1,"E^(x^3 - (49*x^6)/4)","A",1
279,1,27,24,0.1771273,"\int \frac{e^6 \left(-5+x+3 x^2\right)-16 e^3 \log (2)+\left(e^6 (5-2 x)+16 e^3 \log (2)\right) \log (x)}{e^6 \left(25 x^2-10 x^3+x^4\right)+e^3 \left(160 x^2-32 x^3\right) \log (2)+256 x^2 \log ^2(2)} \, dx","Integrate[(E^6*(-5 + x + 3*x^2) - 16*E^3*Log[2] + (E^6*(5 - 2*x) + 16*E^3*Log[2])*Log[x])/(E^6*(25*x^2 - 10*x^3 + x^4) + E^3*(160*x^2 - 32*x^3)*Log[2] + 256*x^2*Log[2]^2),x]","\frac{e^3 (\log (x)-3 x)}{x \left(e^3 (x-5)-16 \log (2)\right)}","\frac{3-\frac{\log (x)}{x}}{-x+5+\frac{16 \log (2)}{e^3}}",1,"(E^3*(-3*x + Log[x]))/(x*(E^3*(-5 + x) - 16*Log[2]))","A",1
280,1,67,22,0.1843917,"\int \frac{4 x+\left(-4 x+x^3\right) \log (x)+\left(-4 x+3 x^2\right) \log (x) \log \left(\frac{\log (x)}{x}\right)+3 x \log (x) \log ^2\left(\frac{\log (x)}{x}\right)+\log (x) \log ^3\left(\frac{\log (x)}{x}\right)}{\left(-7 x^3+x^4\right) \log (x)+\left(-17 x^2+3 x^3\right) \log (x) \log \left(\frac{\log (x)}{x}\right)+\left(-15 x+3 x^2\right) \log (x) \log ^2\left(\frac{\log (x)}{x}\right)+(-5+x) \log (x) \log ^3\left(\frac{\log (x)}{x}\right)} \, dx","Integrate[(4*x + (-4*x + x^3)*Log[x] + (-4*x + 3*x^2)*Log[x]*Log[Log[x]/x] + 3*x*Log[x]*Log[Log[x]/x]^2 + Log[x]*Log[Log[x]/x]^3)/((-7*x^3 + x^4)*Log[x] + (-17*x^2 + 3*x^3)*Log[x]*Log[Log[x]/x] + (-15*x + 3*x^2)*Log[x]*Log[Log[x]/x]^2 + (-5 + x)*Log[x]*Log[Log[x]/x]^3),x]","\log \left(x^3-7 x^2+2 x^2 \log \left(\frac{\log (x)}{x}\right)+x \log ^2\left(\frac{\log (x)}{x}\right)-5 \log ^2\left(\frac{\log (x)}{x}\right)-10 x \log \left(\frac{\log (x)}{x}\right)\right)-2 \log \left(x+\log \left(\frac{\log (x)}{x}\right)\right)","\log \left(\frac{2 x^2}{\left(x+\log \left(\frac{\log (x)}{x}\right)\right)^2}-x+5\right)",1,"-2*Log[x + Log[Log[x]/x]] + Log[-7*x^2 + x^3 - 10*x*Log[Log[x]/x] + 2*x^2*Log[Log[x]/x] - 5*Log[Log[x]/x]^2 + x*Log[Log[x]/x]^2]","B",1
281,1,29,22,0.0114864,"\int \frac{2 e^{2 x}+e^x (-2-2 x)+2 x+e (1+2 x)}{2+e} \, dx","Integrate[(2*E^(2*x) + E^x*(-2 - 2*x) + 2*x + E*(1 + 2*x))/(2 + E),x]","\frac{e x^2+x^2-2 e^x x+e x+e^{2 x}}{2+e}","\frac{\left(x-e^x\right)^2+e x (x+1)}{2+e}",1,"(E^(2*x) + E*x - 2*E^x*x + x^2 + E*x^2)/(2 + E)","A",1
282,1,16,18,0.1123363,"\int \frac{-1296 x^3+\frac{5}{4} e^x \left(324 x^3-324 x^4\right)}{-25600+40000 e^x-25000 e^{2 x}+\frac{15625 e^{3 x}}{2}-\frac{78125 e^{4 x}}{64}+\frac{78125 e^{5 x}}{1024}} \, dx","Integrate[(-1296*x^3 + (5*E^x*(324*x^3 - 324*x^4))/4)/(-25600 + 40000*E^x - 25000*E^(2*x) + (15625*E^(3*x))/2 - (78125*E^(4*x))/64 + (78125*E^(5*x))/1024),x]","\frac{20736 x^4}{25 \left(5 e^x-16\right)^4}","\frac{81 x^4}{25 \left(\frac{5 e^x}{4}-4\right)^4}",1,"(20736*x^4)/(25*(-16 + 5*E^x)^4)","A",1
283,1,23,23,0.249482,"\int \frac{260 x+62 x^2+2 x^3+\left(e^x \left(125 x+30 x^2+x^3\right)+e^x \left(125+30 x+x^2\right) \log (25+x)\right) \log \left(x^2+2 x \log (25+x)+\log ^2(25+x)\right)+\left(125 x+30 x^2+x^3+\left(125+30 x+x^2\right) \log (25+x)\right) \log \left(x^2+2 x \log (25+x)+\log ^2(25+x)\right) \log \left(\log \left(x^2+2 x \log (25+x)+\log ^2(25+x)\right)\right)+\left(\left(e^x \left(-25 x-x^2\right)+e^x (-25-x) \log (25+x)\right) \log \left(x^2+2 x \log (25+x)+\log ^2(25+x)\right)+\left(-25 x^2-x^3+\left(-25 x-x^2\right) \log (25+x)\right) \log \left(x^2+2 x \log (25+x)+\log ^2(25+x)\right) \log \left(\log \left(x^2+2 x \log (25+x)+\log ^2(25+x)\right)\right)\right) \log \left(e^x+x \log \left(\log \left(x^2+2 x \log (25+x)+\log ^2(25+x)\right)\right)\right)}{\left(e^x \left(625 x+275 x^2+35 x^3+x^4\right)+e^x \left(625+275 x+35 x^2+x^3\right) \log (25+x)\right) \log \left(x^2+2 x \log (25+x)+\log ^2(25+x)\right)+\left(625 x^2+275 x^3+35 x^4+x^5+\left(625 x+275 x^2+35 x^3+x^4\right) \log (25+x)\right) \log \left(x^2+2 x \log (25+x)+\log ^2(25+x)\right) \log \left(\log \left(x^2+2 x \log (25+x)+\log ^2(25+x)\right)\right)} \, dx","Integrate[(260*x + 62*x^2 + 2*x^3 + (E^x*(125*x + 30*x^2 + x^3) + E^x*(125 + 30*x + x^2)*Log[25 + x])*Log[x^2 + 2*x*Log[25 + x] + Log[25 + x]^2] + (125*x + 30*x^2 + x^3 + (125 + 30*x + x^2)*Log[25 + x])*Log[x^2 + 2*x*Log[25 + x] + Log[25 + x]^2]*Log[Log[x^2 + 2*x*Log[25 + x] + Log[25 + x]^2]] + ((E^x*(-25*x - x^2) + E^x*(-25 - x)*Log[25 + x])*Log[x^2 + 2*x*Log[25 + x] + Log[25 + x]^2] + (-25*x^2 - x^3 + (-25*x - x^2)*Log[25 + x])*Log[x^2 + 2*x*Log[25 + x] + Log[25 + x]^2]*Log[Log[x^2 + 2*x*Log[25 + x] + Log[25 + x]^2]])*Log[E^x + x*Log[Log[x^2 + 2*x*Log[25 + x] + Log[25 + x]^2]]])/((E^x*(625*x + 275*x^2 + 35*x^3 + x^4) + E^x*(625 + 275*x + 35*x^2 + x^3)*Log[25 + x])*Log[x^2 + 2*x*Log[25 + x] + Log[25 + x]^2] + (625*x^2 + 275*x^3 + 35*x^4 + x^5 + (625*x + 275*x^2 + 35*x^3 + x^4)*Log[25 + x])*Log[x^2 + 2*x*Log[25 + x] + Log[25 + x]^2]*Log[Log[x^2 + 2*x*Log[25 + x] + Log[25 + x]^2]]),x]","\frac{\log \left(e^x+x \log \left(\log \left((x+\log (x+25))^2\right)\right)\right)}{x+5}","\frac{\log \left(e^x+x \log \left(\log \left((x+\log (x+25))^2\right)\right)\right)}{x+5}",1,"Log[E^x + x*Log[Log[(x + Log[25 + x])^2]]]/(5 + x)","A",1
284,1,26,29,0.6880473,"\int \frac{e^{\frac{x}{4+2 x+2 \log \left(x^2\right)}} \left(-16+8 x+20 x^2+6 x^3+\left(-16+17 x+11 x^2\right) \log \left(x^2\right)+(-4+6 x) \log ^2\left(x^2\right)\right)}{8 x^3-8 x^4-6 x^5+4 x^6+2 x^7+\left(8 x^3-12 x^4+4 x^6\right) \log \left(x^2\right)+\left(2 x^3-4 x^4+2 x^5\right) \log ^2\left(x^2\right)} \, dx","Integrate[(E^(x/(4 + 2*x + 2*Log[x^2]))*(-16 + 8*x + 20*x^2 + 6*x^3 + (-16 + 17*x + 11*x^2)*Log[x^2] + (-4 + 6*x)*Log[x^2]^2))/(8*x^3 - 8*x^4 - 6*x^5 + 4*x^6 + 2*x^7 + (8*x^3 - 12*x^4 + 4*x^6)*Log[x^2] + (2*x^3 - 4*x^4 + 2*x^5)*Log[x^2]^2),x]","-\frac{e^{\frac{x}{2 \left(\log \left(x^2\right)+x+2\right)}}}{(x-1) x^2}","\frac{e^{\frac{x}{2 \left(\log \left(x^2\right)+x+2\right)}}}{x \left(x-x^2\right)}",1,"-(E^(x/(2*(2 + x + Log[x^2])))/((-1 + x)*x^2))","A",1
285,1,26,25,0.1908501,"\int \frac{\left(2 x^2+8 x^5\right) \log (x)+\left(6-26 x+8 x^2-2 x^4+8 x^5\right) \log ^3(x)+\left(6 x-2 x^2-2 x^5+\left(-6 x+2 x^2+2 x^5\right) \log (x)\right) \log \left(9-6 x+x^2-6 x^4+2 x^5+x^8\right)}{\left(-3+x+x^4\right) \log ^3(x)} \, dx","Integrate[((2*x^2 + 8*x^5)*Log[x] + (6 - 26*x + 8*x^2 - 2*x^4 + 8*x^5)*Log[x]^3 + (6*x - 2*x^2 - 2*x^5 + (-6*x + 2*x^2 + 2*x^5)*Log[x])*Log[9 - 6*x + x^2 - 6*x^4 + 2*x^5 + x^8])/((-3 + x + x^4)*Log[x]^3),x]","4 x^2+\frac{x^2 \log \left(\left(x^4+x-3\right)^2\right)}{\log ^2(x)}-2 x","\frac{x^2 \log \left(\left(x^4+x-3\right)^2\right)}{\log ^2(x)}+(4 x-2) x",1,"-2*x + 4*x^2 + (x^2*Log[(-3 + x + x^4)^2])/Log[x]^2","A",1
286,1,45,35,0.3852145,"\int \frac{\exp \left(\frac{5+\left(-2-36 x^2-e^{2 x} x^2-24 x^3-4 x^4+e^x \left(12 x^2+4 x^3\right)\right) \log \left(\frac{1}{2} \left(4+e^x\right)\right)}{\log \left(\frac{1}{2} \left(4+e^x\right)\right)}\right) \left(-5 e^x+\left(-288 x-288 x^2-64 x^3+e^{3 x} \left(-2 x-2 x^2\right)+e^x \left(24 x+24 x^2\right)+e^{2 x} \left(16 x+16 x^2+4 x^3\right)\right) \log ^2\left(\frac{1}{2} \left(4+e^x\right)\right)\right)}{\left(4+e^x\right) \log ^2\left(\frac{1}{2} \left(4+e^x\right)\right)} \, dx","Integrate[(E^((5 + (-2 - 36*x^2 - E^(2*x)*x^2 - 24*x^3 - 4*x^4 + E^x*(12*x^2 + 4*x^3))*Log[(4 + E^x)/2])/Log[(4 + E^x)/2])*(-5*E^x + (-288*x - 288*x^2 - 64*x^3 + E^(3*x)*(-2*x - 2*x^2) + E^x*(24*x + 24*x^2) + E^(2*x)*(16*x + 16*x^2 + 4*x^3))*Log[(4 + E^x)/2]^2))/((4 + E^x)*Log[(4 + E^x)/2]^2),x]","\exp \left(-4 x^4+4 \left(e^x-6\right) x^3-\left(e^x-6\right)^2 x^2+\frac{5}{\log \left(\frac{1}{2} \left(e^x+4\right)\right)}-2\right)","\exp \left(-x^2 \left(2 x-e^x+6\right)^2+\frac{5}{\log \left(\frac{1}{2} \left(e^x+4\right)\right)}-2\right)",1,"E^(-2 - (-6 + E^x)^2*x^2 + 4*(-6 + E^x)*x^3 - 4*x^4 + 5/Log[(4 + E^x)/2])","A",1
287,1,28,28,0.2428554,"\int \frac{15 x^2-15 x^3+e^{4+4 e^{3/x} x+e^{6/x} x^2} \left(3 x^2-3 x^3+e^{3/x} \left(12 x^2-4 x^3\right)+e^{6/x} \left(6 x^3-2 x^4\right)\right)}{25 e^{3 x}+10 e^{4+3 x+4 e^{3/x} x+e^{6/x} x^2}+e^{8+3 x+8 e^{3/x} x+2 e^{6/x} x^2}} \, dx","Integrate[(15*x^2 - 15*x^3 + E^(4 + 4*E^(3/x)*x + E^(6/x)*x^2)*(3*x^2 - 3*x^3 + E^(3/x)*(12*x^2 - 4*x^3) + E^(6/x)*(6*x^3 - 2*x^4)))/(25*E^(3*x) + 10*E^(4 + 3*x + 4*E^(3/x)*x + E^(6/x)*x^2) + E^(8 + 3*x + 8*E^(3/x)*x + 2*E^(6/x)*x^2)),x]","\frac{e^{-3 x} x^3}{e^{\left(e^{3/x} x+2\right)^2}+5}","\frac{e^{-3 x} x^3}{e^{\left(e^{3/x} x+2\right)^2}+5}",1,"x^3/(E^(3*x)*(5 + E^(2 + E^(3/x)*x)^2))","A",1
288,1,21,23,0.0085101,"\int \frac{-2-12 x+4 x^3}{x+12 x^2+36 x^3+4 x^4} \, dx","Integrate[(-2 - 12*x + 4*x^3)/(x + 12*x^2 + 36*x^3 + 4*x^4),x]","\log \left(4 x^3+36 x^2+12 x+1\right)-2 \log (x)","\log \left(\left(\frac{1}{2 x}+3\right)^2+x\right)+2 \left(1+e^4\right)+81",1,"-2*Log[x] + Log[1 + 12*x + 36*x^2 + 4*x^3]","A",1
289,1,29,24,0.0049204,"\int \frac{100+20 x+\left(-50-6 x^2\right) \log (x)}{5 x^2} \, dx","Integrate[(100 + 20*x + (-50 - 6*x^2)*Log[x])/(5*x^2),x]","\frac{6 x}{5}-\frac{10}{x}-\frac{6}{5} x \log (x)+4 \log (x)+\frac{10 \log (x)}{x}","\frac{2 \left(\frac{5}{x}+3\right) (x-5) (x-x \log (x))}{5 x}",1,"-10/x + (6*x)/5 + 4*Log[x] + (10*Log[x])/x - (6*x*Log[x])/5","A",1
290,1,39,22,0.0962694,"\int \frac{16 x+x^4+5 x^5+e^{2 x} \left(1+x+2 x^2\right)+e^x \left(-2 x^2-6 x^3-2 x^4\right)+\left(2 e^{2 x} x+4 x^4+e^x \left(-4 x^2-2 x^3\right)\right) \log (x)}{16 x} \, dx","Integrate[(16*x + x^4 + 5*x^5 + E^(2*x)*(1 + x + 2*x^2) + E^x*(-2*x^2 - 6*x^3 - 2*x^4) + (2*E^(2*x)*x + 4*x^4 + E^x*(-4*x^2 - 2*x^3))*Log[x])/(16*x),x]","\frac{1}{16} \left(\left(e^x-x^2\right)^2 \log (x)+x \left(x^4-2 e^x x^2+e^{2 x}+16\right)\right)","\frac{1}{16} \left(e^x-x^2\right)^2 (x+\log (x))+x-4",1,"(x*(16 + E^(2*x) - 2*E^x*x^2 + x^4) + (E^x - x^2)^2*Log[x])/16","A",1
291,1,35,24,0.1804044,"\int \frac{\left(-10 x^4-2 x^5\right) \log (\log (4))+(5+x)^{\frac{2}{\log (\log (4))}} \left(4 x^4+\left(-20 x^3-4 x^4\right) \log (\log (4))\right)+(5+x)^{\frac{1}{\log (\log (4))}} \left(4 x^5+\left(-20 x^4-4 x^5\right) \log (\log (4))\right)}{(5+x)^{1+\frac{6}{\log (\log (4))}} \log (\log (4))+(5+x)^{\frac{5}{\log (\log (4))}} \left(30 x+6 x^2\right) \log (\log (4))+(5+x)^{\frac{4}{\log (\log (4))}} \left(15 x+78 x^2+15 x^3\right) \log (\log (4))+(5+x)^{\frac{3}{\log (\log (4))}} \left(60 x^2+112 x^3+20 x^4\right) \log (\log (4))+(5+x)^{\frac{2}{\log (\log (4))}} \left(15 x^2+93 x^3+93 x^4+15 x^5\right) \log (\log (4))+(5+x)^{\frac{1}{\log (\log (4))}} \left(30 x^3+66 x^4+42 x^5+6 x^6\right) \log (\log (4))+\left(5 x^3+16 x^4+18 x^5+8 x^6+x^7\right) \log (\log (4))} \, dx","Integrate[((-10*x^4 - 2*x^5)*Log[Log[4]] + (5 + x)^(2/Log[Log[4]])*(4*x^4 + (-20*x^3 - 4*x^4)*Log[Log[4]]) + (5 + x)^Log[Log[4]]^(-1)*(4*x^5 + (-20*x^4 - 4*x^5)*Log[Log[4]]))/((5 + x)^(1 + 6/Log[Log[4]])*Log[Log[4]] + (5 + x)^(5/Log[Log[4]])*(30*x + 6*x^2)*Log[Log[4]] + (5 + x)^(4/Log[Log[4]])*(15*x + 78*x^2 + 15*x^3)*Log[Log[4]] + (5 + x)^(3/Log[Log[4]])*(60*x^2 + 112*x^3 + 20*x^4)*Log[Log[4]] + (5 + x)^(2/Log[Log[4]])*(15*x^2 + 93*x^3 + 93*x^4 + 15*x^5)*Log[Log[4]] + (5 + x)^Log[Log[4]]^(-1)*(30*x^3 + 66*x^4 + 42*x^5 + 6*x^6)*Log[Log[4]] + (5*x^3 + 16*x^4 + 18*x^5 + 8*x^6 + x^7)*Log[Log[4]]),x]","-\frac{x^4}{\left(x^2+x+(x+5)^{\frac{2}{\log (\log (4))}}+2 x (x+5)^{\frac{1}{\log (\log (4))}}\right)^2}","2-\frac{x^4}{\left(x+\left(x+(x+5)^{\frac{1}{\log (\log (4))}}\right)^2\right)^2}",1,"-(x^4/(x + x^2 + 2*x*(5 + x)^Log[Log[4]]^(-1) + (5 + x)^(2/Log[Log[4]]))^2)","A",1
292,1,16,17,0.0197227,"\int \frac{1}{4} e^{e^x} \left(-9 e+e^x (54+e (-18-9 x))\right) \, dx","Integrate[(E^E^x*(-9*E + E^x*(54 + E*(-18 - 9*x))))/4,x]","-\frac{9}{4} e^{e^x} (e (x+2)-6)","\frac{9}{4} e^{e^x} (6-e (x+2))",1,"(-9*E^E^x*(-6 + E*(2 + x)))/4","A",1
293,1,32,21,0.2754475,"\int \frac{-5+5 x+(-5-10 x) \log (x)+5 \log \left(e^{-1+x} x\right)}{6 x-12 x^2+6 x^3+\left(-12 x+12 x^2\right) \log \left(e^{-1+x} x\right)+6 x \log ^2\left(e^{-1+x} x\right)} \, dx","Integrate[(-5 + 5*x + (-5 - 10*x)*Log[x] + 5*Log[E^(-1 + x)*x])/(6*x - 12*x^2 + 6*x^3 + (-12*x + 12*x^2)*Log[E^(-1 + x)*x] + 6*x*Log[E^(-1 + x)*x]^2),x]","-\frac{5 \left(x-\log (x)+\log \left(e^{x-1} x\right)-1\right)}{6 \left(x+\log \left(e^{x-1} x\right)-1\right)}","\frac{5 \log (x)}{6 \left(x+\log \left(e^{x-1} x\right)-1\right)}-5",1,"(-5*(-1 + x - Log[x] + Log[E^(-1 + x)*x]))/(6*(-1 + x + Log[E^(-1 + x)*x]))","A",1
294,1,75,31,0.3569238,"\int \frac{2 e^x x-4 x^3+\left(-4 x+4 x^2\right) \log (16)+\left(-4 x^2+e^x (2 x-2 \log (16))+4 x \log (16)\right) \log \left(\frac{e^{-x} \left(e^x-2 x\right)}{-2 x+2 \log (16)}\right)}{2 x^4-2 x^3 \log (16)+e^x \left(-x^3+x^2 \log (16)\right)} \, dx","Integrate[(2*E^x*x - 4*x^3 + (-4*x + 4*x^2)*Log[16] + (-4*x^2 + E^x*(2*x - 2*Log[16]) + 4*x*Log[16])*Log[(E^x - 2*x)/(E^x*(-2*x + 2*Log[16]))])/(2*x^4 - 2*x^3*Log[16] + E^x*(-x^3 + x^2*Log[16])),x]","-\frac{4 \log (x)}{\log (256)}+\frac{2 \log (x)}{\log (16)}-\frac{2 \log (x-\log (16))}{\log (16)}+\frac{2 \log \left(-\frac{e^{-x} \left(e^x-2 x\right)}{2 x-\log (256)}\right)}{x}+\frac{4 \log (2 x-\log (256))}{\log (256)}","\frac{2 \log \left(\frac{e^{-x} \left(\frac{e^x}{2}-x\right)}{\log (16)-x}\right)}{x}",1,"(2*Log[x])/Log[16] - (4*Log[x])/Log[256] - (2*Log[x - Log[16]])/Log[16] + (2*Log[-((E^x - 2*x)/(E^x*(2*x - Log[256])))])/x + (4*Log[2*x - Log[256]])/Log[256]","B",1
295,1,25,23,0.2991667,"\int \frac{768+384 x+\left(-768+64 x+64 x^2\right) \log \left(\frac{1}{3} (-3+x)\right)+\left(768-64 x-64 x^2\right) \log (x)}{\left(3 x^3-x^4\right) \log ^3\left(\frac{1}{3} (-3+x)\right)+\left(-9 x^3+3 x^4\right) \log ^2\left(\frac{1}{3} (-3+x)\right) \log (x)+\left(9 x^3-3 x^4\right) \log \left(\frac{1}{3} (-3+x)\right) \log ^2(x)+\left(-3 x^3+x^4\right) \log ^3(x)} \, dx","Integrate[(768 + 384*x + (-768 + 64*x + 64*x^2)*Log[(-3 + x)/3] + (768 - 64*x - 64*x^2)*Log[x])/((3*x^3 - x^4)*Log[(-3 + x)/3]^3 + (-9*x^3 + 3*x^4)*Log[(-3 + x)/3]^2*Log[x] + (9*x^3 - 3*x^4)*Log[(-3 + x)/3]*Log[x]^2 + (-3*x^3 + x^4)*Log[x]^3),x]","-\frac{64 (-x-2)}{x^2 \left(\log (x)-\log \left(\frac{x-3}{3}\right)\right)^2}","\frac{64 (x+2)}{x^2 \left(\log \left(\frac{x-3}{3}\right)-\log (x)\right)^2}",1,"(-64*(-2 - x))/(x^2*(-Log[(-3 + x)/3] + Log[x])^2)","A",1
296,1,4,17,0.0008918,"\int \frac{1}{-10+x} \, dx","Integrate[(-10 + x)^(-1),x]","\log (x-10)","\log \left(\frac{\frac{1}{2} (10-2 x)+5}{\log (2)}\right)",1,"Log[-10 + x]","A",1
297,1,31,26,0.0925211,"\int \frac{-4-2 e^{\frac{1}{2} (-x+2 \log (3))}+e^{\frac{1}{2} (-x+2 \log (3))} (1-x) \log (1-x)}{\left(-12+12 x+e^{\frac{1}{2} (-x+2 \log (3))} (-6+6 x)\right) \log (1-x)} \, dx","Integrate[(-4 - 2*E^((-x + 2*Log[3])/2) + E^((-x + 2*Log[3])/2)*(1 - x)*Log[1 - x])/((-12 + 12*x + E^((-x + 2*Log[3])/2)*(-6 + 6*x))*Log[1 - x]),x]","\frac{1}{6} \left(-x+2 \log \left(2 e^{x/2}+3\right)-2 \log (\log (1-x))\right)","\frac{1}{3} \log \left(\frac{2 \left(3 e^{-x/2}+2\right)}{\log (1-x)}\right)",1,"(-x + 2*Log[3 + 2*E^(x/2)] - 2*Log[Log[1 - x]])/6","A",1
298,1,87,18,0.6464932,"\int \frac{-64+2^{-x^2} \left(-16-288 x^2 \log (2)\right)+2^{-2 x^2} \left(-1-36 x^2 \log (2)\right)+\left(-2^{2-2 x^2} x^2 \log (2)-2^{5-x^2} x^2 \log (2)\right) \log (x)}{81 x+18 x \log (x)+x \log ^2(x)} \, dx","Integrate[(-64 + (-16 - 288*x^2*Log[2])/2^x^2 + (-1 - 36*x^2*Log[2])/2^(2*x^2) + (-(2^(2 - 2*x^2)*x^2*Log[2]) - 2^(5 - x^2)*x^2*Log[2])*Log[x])/(81*x + 18*x*Log[x] + x*Log[x]^2),x]","-\frac{2^{-2 x^2-1} \left(-36 \log (2) \left(2^{x^2+3} \left(2^{x^2+2}+1\right) \log (4)+\log (2)\right)-\left(\log (2) \left(2^{2 x^2+7} \log (4)+\log (16)\right)+2^{x^2+3} \log (4) \log (16)\right) \log (x)\right)}{\log (2) \log (4) (\log (x)+9)^2}","\frac{\left(2^{-x^2}+8\right)^2}{\log (x)+9}",1,"-((2^(-1 - 2*x^2)*(-36*Log[2]*(Log[2] + 2^(3 + x^2)*(1 + 2^(2 + x^2))*Log[4]) - (2^(3 + x^2)*Log[4]*Log[16] + Log[2]*(2^(7 + 2*x^2)*Log[4] + Log[16]))*Log[x]))/(Log[2]*Log[4]*(9 + Log[x])^2))","B",1
299,1,43,32,1.1535635,"\int \frac{-4 e^x x \log (x)+e^x \left(8 x+2 x^2\right) \log ^2(x)+e^x \left(-8 x-4 x^2\right) \log ^3(x)+e^x \left(-2+2 x+2 x^2\right) \log ^4(x)}{5 e^{2 x} x^4-20 e^{2 x} x^4 \log (x)+\left(10 e^x x^2+e^{2 x} \left(-10 x^3+30 x^4\right)\right) \log ^2(x)+\left(-20 e^x x^2+e^{2 x} \left(20 x^3-20 x^4\right)\right) \log ^3(x)+\left(5+e^x \left(-10 x+10 x^2\right)+e^{2 x} \left(5 x^2-10 x^3+5 x^4\right)\right) \log ^4(x)} \, dx","Integrate[(-4*E^x*x*Log[x] + E^x*(8*x + 2*x^2)*Log[x]^2 + E^x*(-8*x - 4*x^2)*Log[x]^3 + E^x*(-2 + 2*x + 2*x^2)*Log[x]^4)/(5*E^(2*x)*x^4 - 20*E^(2*x)*x^4*Log[x] + (10*E^x*x^2 + E^(2*x)*(-10*x^3 + 30*x^4))*Log[x]^2 + (-20*E^x*x^2 + E^(2*x)*(20*x^3 - 20*x^4))*Log[x]^3 + (5 + E^x*(-10*x + 10*x^2) + E^(2*x)*(5*x^2 - 10*x^3 + 5*x^4))*Log[x]^4),x]","-\frac{2 \log ^2(x)}{5 \left(e^x x^2-2 e^x x^2 \log (x)+\left(e^x (x-1) x+1\right) \log ^2(x)\right)}","\frac{2 x}{5 \left(e^x x \left(x-\left(\frac{x}{\log (x)}-x\right)^2\right)-x\right)}",1,"(-2*Log[x]^2)/(5*(E^x*x^2 - 2*E^x*x^2*Log[x] + (1 + E^x*(-1 + x)*x)*Log[x]^2))","A",1
300,1,137,27,0.5371668,"\int \frac{-x^3+e^{-2+x+\frac{e^{-2+x} \left(1+e^{5/x} x^2\right)}{x^2}} \left((2-x) \log (2)+e^{5/x} \left(5 x-x^3\right) \log (2)\right)}{25 x^3+10 x^4+x^5+e^{\frac{e^{-2+x} \left(1+e^{5/x} x^2\right)}{x^2}} \left(10 x^3+2 x^4\right) \log (2)+e^{\frac{2 e^{-2+x} \left(1+e^{5/x} x^2\right)}{x^2}} x^3 \log ^2(2)} \, dx","Integrate[(-x^3 + E^(-2 + x + (E^(-2 + x)*(1 + E^(5/x)*x^2))/x^2)*((2 - x)*Log[2] + E^(5/x)*(5*x - x^3)*Log[2]))/(25*x^3 + 10*x^4 + x^5 + E^((E^(-2 + x)*(1 + E^(5/x)*x^2))/x^2)*(10*x^3 + 2*x^4)*Log[2] + E^((2*E^(-2 + x)*(1 + E^(5/x)*x^2))/x^2)*x^3*Log[2]^2),x]","\frac{-e^4 x^3 \log (2)+e^{x+\frac{5}{x}+2} (x+5) x \left(x^2 \log (2)-\log (32)\right)+e^{x+2} (x+5) (x \log (2)-\log (4))}{e^2 \left(-e^2 x^3+e^x \left(x^2+3 x-10\right)+e^{x+\frac{5}{x}} \left(x^3+5 x^2-5 x-25\right) x\right) \log (2) \left(e^{e^{x-2} \left(\frac{1}{x^2}+e^{5/x}\right)} \log (2)+x+5\right)}","\frac{1}{e^{e^{x-2} \left(\frac{1}{x^2}+e^{5/x}\right)} \log (2)+x+5}",1,"(-(E^4*x^3*Log[2]) + E^(2 + x)*(5 + x)*(x*Log[2] - Log[4]) + E^(2 + 5/x + x)*x*(5 + x)*(x^2*Log[2] - Log[32]))/(E^2*(-(E^2*x^3) + E^x*(-10 + 3*x + x^2) + E^(5/x + x)*x*(-25 - 5*x + 5*x^2 + x^3))*Log[2]*(5 + x + E^(E^(-2 + x)*(E^(5/x) + x^(-2)))*Log[2]))","B",1
301,1,27,25,0.1817569,"\int \frac{-10-10 x+10 \log (2 x)+\left(2-2 x-2 x^2-2 x^3+2 x^2 \log (2 x)\right) \log (4 x)}{\left(-x-x^2+x \log (2 x)\right) \log (4 x)} \, dx","Integrate[(-10 - 10*x + 10*Log[2*x] + (2 - 2*x - 2*x^2 - 2*x^3 + 2*x^2*Log[2*x])*Log[4*x])/((-x - x^2 + x*Log[2*x])*Log[4*x]),x]","2 \left(\frac{x^2}{2}+\log (x-\log (2 x)+1)+5 \log (\log (4 x))\right)","x^2+5 \log \left(\log ^2(4 x)\right)+\log \left((x-\log (2 x)+1)^2\right)",1,"2*(x^2/2 + Log[1 + x - Log[2*x]] + 5*Log[Log[4*x]])","A",1
302,1,49,20,0.0084955,"\int \left(-16-6 x+(-16-8 x) \log \left(4 e^x\right)-4 \log ^2\left(4 e^x\right)\right) \, dx","Integrate[-16 - 6*x + (-16 - 8*x)*Log[4*E^x] - 4*Log[4*E^x]^2,x]","\frac{4 x^3}{3}-3 x^2-4 x^2 \log \left(4 e^x\right)-16 x-\frac{4}{3} \log ^3\left(4 e^x\right)-8 \log ^2\left(4 e^x\right)","5 x^2-4 x \left(\log \left(4 e^x\right)+2\right)^2+1",1,"-16*x - 3*x^2 + (4*x^3)/3 - 4*x^2*Log[4*E^x] - 8*Log[4*E^x]^2 - (4*Log[4*E^x]^3)/3","B",1
303,0,0,32,0.453458,"\int \frac{-25 e^5+25 e^{\frac{2}{25} \left(625-50 x+x^2\right)}+e^{5+\frac{1}{25} \left(625-50 x+x^2\right)} \left(50 x-2 x^2\right)-50 e^{\frac{1}{25} \left(625-50 x+x^2\right)} \log \left(\frac{2}{x}\right)+25 \log ^2\left(\frac{2}{x}\right)}{25 e^{5+\frac{1}{25} \left(625-50 x+x^2\right)} x-25 e^5 x \log \left(\frac{2}{x}\right)+\left(25 e^{\frac{2}{25} \left(625-50 x+x^2\right)} x-50 e^{\frac{1}{25} \left(625-50 x+x^2\right)} x \log \left(\frac{2}{x}\right)+25 x \log ^2\left(\frac{2}{x}\right)\right) \log (x)} \, dx","Integrate[(-25*E^5 + 25*E^((2*(625 - 50*x + x^2))/25) + E^(5 + (625 - 50*x + x^2)/25)*(50*x - 2*x^2) - 50*E^((625 - 50*x + x^2)/25)*Log[2/x] + 25*Log[2/x]^2)/(25*E^(5 + (625 - 50*x + x^2)/25)*x - 25*E^5*x*Log[2/x] + (25*E^((2*(625 - 50*x + x^2))/25)*x - 50*E^((625 - 50*x + x^2)/25)*x*Log[2/x] + 25*x*Log[2/x]^2)*Log[x]),x]","\int \frac{-25 e^5+25 e^{\frac{2}{25} \left(625-50 x+x^2\right)}+e^{5+\frac{1}{25} \left(625-50 x+x^2\right)} \left(50 x-2 x^2\right)-50 e^{\frac{1}{25} \left(625-50 x+x^2\right)} \log \left(\frac{2}{x}\right)+25 \log ^2\left(\frac{2}{x}\right)}{25 e^{5+\frac{1}{25} \left(625-50 x+x^2\right)} x-25 e^5 x \log \left(\frac{2}{x}\right)+\left(25 e^{\frac{2}{25} \left(625-50 x+x^2\right)} x-50 e^{\frac{1}{25} \left(625-50 x+x^2\right)} x \log \left(\frac{2}{x}\right)+25 x \log ^2\left(\frac{2}{x}\right)\right) \log (x)} \, dx","\log \left(\frac{e^5}{\log \left(\frac{2}{x}\right)-e^{\left(5-\frac{x}{5}\right)^2}}-\log (x)\right)",1,"Integrate[(-25*E^5 + 25*E^((2*(625 - 50*x + x^2))/25) + E^(5 + (625 - 50*x + x^2)/25)*(50*x - 2*x^2) - 50*E^((625 - 50*x + x^2)/25)*Log[2/x] + 25*Log[2/x]^2)/(25*E^(5 + (625 - 50*x + x^2)/25)*x - 25*E^5*x*Log[2/x] + (25*E^((2*(625 - 50*x + x^2))/25)*x - 50*E^((625 - 50*x + x^2)/25)*x*Log[2/x] + 25*x*Log[2/x]^2)*Log[x]), x]","F",-1
304,1,29,29,0.6001469,"\int \frac{e^{-16/x} \left(x-x^2+\left(16+16 e^5-16 x-x^2\right) \log \left(\frac{1}{5 x}\right)+\left(-16+16 x+x^2\right) \log \left(\frac{1}{5 x}\right) \log \left(\log \left(\frac{1}{5 x}\right)\right)\right)}{x^2 \log \left(\frac{1}{5 x}\right)} \, dx","Integrate[(x - x^2 + (16 + 16*E^5 - 16*x - x^2)*Log[1/(5*x)] + (-16 + 16*x + x^2)*Log[1/(5*x)]*Log[Log[1/(5*x)]])/(E^(16/x)*x^2*Log[1/(5*x)]),x]","e^{-16/x} \left(-x+(x-1) \log \left(\log \left(\frac{1}{5 x}\right)\right)+e^5+1\right)","e^{-16/x} \left(-x+(x-1) \log \left(\log \left(\frac{1}{5 x}\right)\right)+e^5+1\right)",1,"(1 + E^5 - x + (-1 + x)*Log[Log[1/(5*x)]])/E^(16/x)","A",1
305,1,37,33,0.2339806,"\int \frac{\exp \left(e^{\frac{-5 x^2-x^3}{32-8 x^2+8 x^3}} (-1+x)+x-x^2\right) \left(64-128 x-32 x^2+96 x^3-60 x^4-16 x^5+20 x^6-8 x^7+e^{\frac{-5 x^2-x^3}{32-8 x^2+8 x^3}} \left(64+20 x-46 x^2+26 x^3+x^4-5 x^5+4 x^6\right)\right)}{64-32 x^2+32 x^3+4 x^4-8 x^5+4 x^6} \, dx","Integrate[(E^(E^((-5*x^2 - x^3)/(32 - 8*x^2 + 8*x^3))*(-1 + x) + x - x^2)*(64 - 128*x - 32*x^2 + 96*x^3 - 60*x^4 - 16*x^5 + 20*x^6 - 8*x^7 + E^((-5*x^2 - x^3)/(32 - 8*x^2 + 8*x^3))*(64 + 20*x - 46*x^2 + 26*x^3 + x^4 - 5*x^5 + 4*x^6)))/(64 - 32*x^2 + 32*x^3 + 4*x^4 - 8*x^5 + 4*x^6),x]","\exp \left(-x^2+e^{-\frac{x^2 (x+5)}{8 \left(x^3-x^2+4\right)}} (x-1)+x\right)","\exp \left((1-x) \left(x-e^{\frac{x+5}{8 \left(-\frac{4}{x^2}-x+1\right)}}\right)\right)",1,"E^((-1 + x)/E^((x^2*(5 + x))/(8*(4 - x^2 + x^3))) + x - x^2)","A",1
306,1,24,15,0.0218894,"\int \frac{20480000 e^{e^5-4 x}}{-27+e^{3 e^5-12 x}-9 e^{2 e^5-8 x}+27 e^{e^5-4 x}} \, dx","Integrate[(20480000*E^(E^5 - 4*x))/(-27 + E^(3*E^5 - 12*x) - 9*E^(2*E^5 - 8*x) + 27*E^(E^5 - 4*x)),x]","\frac{2560000 e^{8 x}}{\left(3 e^{4 x}-e^{e^5}\right)^2}","\frac{2560000}{\left(e^{e^5-4 x}-3\right)^2}",1,"(2560000*E^(8*x))/(-E^E^5 + 3*E^(4*x))^2","A",1
307,1,30,29,0.1053693,"\int \frac{e^3 \left(-3+5 x-x^2\right)+e^6 \left(-12+20 x-4 x^2\right) \log (x)+\left(e^6 \left(-12 x+4 x^2\right)+e^6 (12-4 x) \log \left(3 x-x^2\right)\right) \log \left(-x+\log \left(3 x-x^2\right)\right)}{30 x^2-10 x^3+\left(-30 x+10 x^2\right) \log \left(3 x-x^2\right)+\log (x) \left(e^3 \left(240 x^2-80 x^3\right)+e^3 \left(-240 x+80 x^2\right) \log \left(3 x-x^2\right)\right)+\log ^2(x) \left(e^6 \left(480 x^2-160 x^3\right)+e^6 \left(-480 x+160 x^2\right) \log \left(3 x-x^2\right)\right)} \, dx","Integrate[(E^3*(-3 + 5*x - x^2) + E^6*(-12 + 20*x - 4*x^2)*Log[x] + (E^6*(-12*x + 4*x^2) + E^6*(12 - 4*x)*Log[3*x - x^2])*Log[-x + Log[3*x - x^2]])/(30*x^2 - 10*x^3 + (-30*x + 10*x^2)*Log[3*x - x^2] + Log[x]*(E^3*(240*x^2 - 80*x^3) + E^3*(-240*x + 80*x^2)*Log[3*x - x^2]) + Log[x]^2*(E^6*(480*x^2 - 160*x^3) + E^6*(-480*x + 160*x^2)*Log[3*x - x^2])),x]","\frac{e^3 \log (\log (-((x-3) x))-x)}{10 \left(4 e^3 \log (x)+1\right)}","\frac{\log (\log ((2-x) x+x)-x)}{10 \left(4 \log (x)+\frac{1}{e^3}\right)}",1,"(E^3*Log[-x + Log[-((-3 + x)*x)]])/(10*(1 + 4*E^3*Log[x]))","A",1
308,1,39,25,0.0204941,"\int \frac{1}{16} \left(48+32 e^{2 x}+48 x+x^3+e^x \left(-192-8 x-4 x^2\right)+16 \log (4)\right) \, dx","Integrate[(48 + 32*E^(2*x) + 48*x + x^3 + E^x*(-192 - 8*x - 4*x^2) + 16*Log[4])/16,x]","\frac{x^4}{64}+\frac{3 x^2}{2}-\frac{1}{4} e^x \left(x^2+48\right)+3 x+e^{2 x}+x \log (4)","\left(\frac{x^2}{8}-e^x+6\right)^2+3 x+x \log (4)-3",1,"E^(2*x) + 3*x + (3*x^2)/2 + x^4/64 - (E^x*(48 + x^2))/4 + x*Log[4]","A",1
309,1,42,34,0.1381229,"\int \frac{x^3+e^x \left(-56 x+56 x^2-27 x^3-14 x^4\right)+e^{2 x} \left(32-40 x+16 x^2+12 x^3-6 x^4-2 x^5\right)}{2 x^3} \, dx","Integrate[(x^3 + E^x*(-56*x + 56*x^2 - 27*x^3 - 14*x^4) + E^(2*x)*(32 - 40*x + 16*x^2 + 12*x^3 - 6*x^4 - 2*x^5))/(2*x^3),x]","\frac{x^3-e^x \left(14 x^2+13 x-56\right) x-e^{2 x} \left(x^2+x-4\right)^2}{2 x^2}","\frac{1}{2} \left(-\left(7-e^x \left(-x+\frac{4}{x}-1\right)\right)^2+e^x+x\right)+\frac{1}{e^3}",1,"(x^3 - E^(2*x)*(-4 + x + x^2)^2 - E^x*x*(-56 + 13*x + 14*x^2))/(2*x^2)","A",1
310,1,42,32,0.2848709,"\int \frac{\left(x+e^{1-x} x-2 x^2\right) \log (x)+\left(-2-2 e^{1-x}\right) \log ^2(x)+8 \log ^3(x)+\left(-x-e^{1-x} x+2 x^2+\left(-2 x^2-e^{1-x} x^2\right) \log (x)+\left(1+e^{1-x}-2 x\right) \log ^2(x)+\left(2 x+e^{1-x} x\right) \log ^3(x)\right) \log \left(-x+\log ^2(x)\right)}{\left(\left(x^2+e^{1-x} x^2-2 x^3\right) \log (x)-4 x^2 \log ^2(x)+\left(-x-e^{1-x} x+2 x^2\right) \log ^3(x)+4 x \log ^4(x)\right) \log \left(-x+\log ^2(x)\right)} \, dx","Integrate[((x + E^(1 - x)*x - 2*x^2)*Log[x] + (-2 - 2*E^(1 - x))*Log[x]^2 + 8*Log[x]^3 + (-x - E^(1 - x)*x + 2*x^2 + (-2*x^2 - E^(1 - x)*x^2)*Log[x] + (1 + E^(1 - x) - 2*x)*Log[x]^2 + (2*x + E^(1 - x)*x)*Log[x]^3)*Log[-x + Log[x]^2])/(((x^2 + E^(1 - x)*x^2 - 2*x^3)*Log[x] - 4*x^2*Log[x]^2 + (-x - E^(1 - x)*x + 2*x^2)*Log[x]^3 + 4*x*Log[x]^4)*Log[-x + Log[x]^2]),x]","-x+\log \left(\log \left(\log ^2(x)-x\right)\right)-\log (\log (x))+\log \left(2 e^x x-e^x+4 e^x \log (x)-e\right)","\log \left(\left(\frac{2 x-e^{1-x}-1}{\log (x)}+4\right) \log \left(\log ^2(x)-x\right)\right)",1,"-x - Log[Log[x]] + Log[-E - E^x + 2*E^x*x + 4*E^x*Log[x]] + Log[Log[-x + Log[x]^2]]","A",1
311,1,59,29,0.3385466,"\int \frac{40 x^4+96 x^5+32 x^6-40 x^7-6 x^8+4 x^9+e^{x/3} \left(18+22 x-17 x^2+x^3\right)}{8 x^4+16 x^5-8 x^7+2 x^8} \, dx","Integrate[(40*x^4 + 96*x^5 + 32*x^6 - 40*x^7 - 6*x^8 + 4*x^9 + E^(x/3)*(18 + 22*x - 17*x^2 + x^3))/(8*x^4 + 16*x^5 - 8*x^7 + 2*x^8),x]","x^2+\frac{1}{2} e^{x/3} \left(-\frac{3}{2 x^3}+\frac{3 (3 x-8)}{4 \left(x^2-2 x-2\right)}+\frac{3}{2 x^2}-\frac{9}{4 x}\right)+5 x","\frac{3 e^{x/3}}{2 x^3 ((x-2) x-2)}+x (x+5)",1,"5*x + x^2 + (E^(x/3)*(-3/(2*x^3) + 3/(2*x^2) - 9/(4*x) + (3*(-8 + 3*x))/(4*(-2 - 2*x + x^2))))/2","B",1
312,1,11,14,0.0011805,"\int \frac{5-\log (5)}{10 x^2} \, dx","Integrate[(5 - Log[5])/(10*x^2),x]","\frac{\log (5)-5}{10 x}","\frac{2 x-5+\log (5)}{10 x}",1,"(-5 + Log[5])/(10*x)","A",1
313,1,24,24,0.0049406,"\int \frac{-14-4 x^2+4 \log (5)-\log (x)}{4 x^2} \, dx","Integrate[(-14 - 4*x^2 + 4*Log[5] - Log[x])/(4*x^2),x]","-x+\frac{15}{4 x}+\frac{\log \left(\frac{x}{625}\right)}{4 x}","-x+\frac{1}{x}+\frac{\log (x)+3-4 (\log (5)-2)}{4 x}",1,"15/(4*x) - x + Log[x/625]/(4*x)","A",1
314,1,19,29,0.0178877,"\int \frac{1}{8} e^{-x} \left(16+e^x (-21-16 x)-16 x\right) \, dx","Integrate[(16 + E^x*(-21 - 16*x) - 16*x)/(8*E^x),x]","-x^2+2 e^{-x} x-\frac{21 x}{8}","2 \left(\frac{1}{2} \left(-x^2-x\right)+e^{-x} x-\frac{13 x}{16}+6\right)",1,"(-21*x)/8 + (2*x)/E^x - x^2","A",1
315,1,43,35,0.2160425,"\int \frac{\left(-7 x+\frac{1}{9} e^{5+2 x} x+e^5 \left(24 x-10 x^2+x^3\right)+\frac{1}{3} e^x \left(x+x^2+e^5 \left(11 x-2 x^2\right)\right)\right) \log ^2(x)+e^{\frac{4}{\log (x)}} \left(-\frac{4 e^{5+x}}{3}+e^5 (-20+4 x)+\left(e^5 x-\frac{1}{3} e^{5+x} x\right) \log ^2(x)\right)}{\left(\frac{1}{9} e^{5+2 x} x+\frac{1}{3} e^{5+x} \left(10 x-2 x^2\right)+e^5 \left(25 x-10 x^2+x^3\right)\right) \log ^2(x)} \, dx","Integrate[((-7*x + (E^(5 + 2*x)*x)/9 + E^5*(24*x - 10*x^2 + x^3) + (E^x*(x + x^2 + E^5*(11*x - 2*x^2)))/3)*Log[x]^2 + E^(4/Log[x])*((-4*E^(5 + x))/3 + E^5*(-20 + 4*x) + (E^5*x - (E^(5 + x)*x)/3)*Log[x]^2))/(((E^(5 + 2*x)*x)/9 + (E^(5 + x)*(10*x - 2*x^2))/3 + E^5*(25*x - 10*x^2 + x^3))*Log[x]^2),x]","x-\frac{3 \left(x+e^5+2\right)}{e^5 \left(-3 x+e^x+15\right)}+\frac{3 e^{\frac{4}{\log (x)}}}{-3 x+e^x+15}","x+\frac{-\frac{x+2}{e^5}+e^{\frac{4}{\log (x)}}-1}{-x+\frac{e^x}{3}+5}",1,"(3*E^(4/Log[x]))/(15 + E^x - 3*x) + x - (3*(2 + E^5 + x))/(E^5*(15 + E^x - 3*x))","A",1
316,1,32,25,0.2129225,"\int \frac{1-x+e^x \left(2 x-2 x^2\right)+e^{2 x} \left(-2 x+2 x^3\right)+\left(-2 x+2 x^2+e^x \left(4 x-2 x^2-2 x^3\right)\right) \log (x)+\left(-2 x+2 x^2\right) \log ^2(x)+\left(x-e^{2 x} x^2+2 e^x x^2 \log (x)-x^2 \log ^2(x)\right) \log \left(-x+e^{2 x} x^2-2 e^x x^2 \log (x)+x^2 \log ^2(x)\right)}{-x+2 x^2-x^3+e^{2 x} \left(x^2-2 x^3+x^4\right)+e^x \left(-2 x^2+4 x^3-2 x^4\right) \log (x)+\left(x^2-2 x^3+x^4\right) \log ^2(x)} \, dx","Integrate[(1 - x + E^x*(2*x - 2*x^2) + E^(2*x)*(-2*x + 2*x^3) + (-2*x + 2*x^2 + E^x*(4*x - 2*x^2 - 2*x^3))*Log[x] + (-2*x + 2*x^2)*Log[x]^2 + (x - E^(2*x)*x^2 + 2*E^x*x^2*Log[x] - x^2*Log[x]^2)*Log[-x + E^(2*x)*x^2 - 2*E^x*x^2*Log[x] + x^2*Log[x]^2])/(-x + 2*x^2 - x^3 + E^(2*x)*(x^2 - 2*x^3 + x^4) + E^x*(-2*x^2 + 4*x^3 - 2*x^4)*Log[x] + (x^2 - 2*x^3 + x^4)*Log[x]^2),x]","\frac{\log \left(x \left(e^{2 x} x+x \log ^2(x)-2 e^x x \log (x)-1\right)\right)}{x-1}","\frac{\log \left(x^2 \left(e^x-\log (x)\right)^2-x\right)}{x-1}",1,"Log[x*(-1 + E^(2*x)*x - 2*E^x*x*Log[x] + x*Log[x]^2)]/(-1 + x)","A",1
317,1,40,35,2.2292397,"\int \frac{\exp \left(-x+\frac{e^{-x} \left(-4 x^3 \log (3)+e^x \left(12+9 x^2\right) \log (3)-4 e^x x \log (3) \log \left(\frac{4}{x}\right)\right)}{3 x^2}\right) \left(e^x (-24+4 x) \log (3)+\left(-4 x^3+4 x^4\right) \log (3)+4 e^x x \log (3) \log \left(\frac{4}{x}\right)\right)}{3 x^3} \, dx","Integrate[(E^(-x + (-4*x^3*Log[3] + E^x*(12 + 9*x^2)*Log[3] - 4*E^x*x*Log[3]*Log[4/x])/(3*E^x*x^2))*(E^x*(-24 + 4*x)*Log[3] + (-4*x^3 + 4*x^4)*Log[3] + 4*E^x*x*Log[3]*Log[4/x]))/(3*x^3),x]","\frac{4 \log (3) 3^{\frac{4}{x^2}-\frac{4}{3} e^{-x} x-\frac{4 \log \left(\frac{4}{x}\right)}{3 x}+3}}{\log (81)}","3^{\frac{4 \left(-e^{-x} x^2+\frac{3}{x}-\log \left(\frac{4}{x}\right)\right)}{3 x}+3}",1,"(4*3^(3 + 4/x^2 - (4*x)/(3*E^x) - (4*Log[4/x])/(3*x))*Log[3])/Log[81]","A",1
318,1,15,16,0.033592,"\int e^{-x} \left(4 e^{4 e^{-x}}+3 e^x\right) \, dx","Integrate[(4*E^(4/E^x) + 3*E^x)/E^x,x]","3 x-e^{4 e^{-x}}","3 x-e^{4 e^{-x}}-3",1,"-E^(4/E^x) + 3*x","A",1
319,1,9,14,0.0000658,"\int (-2-12 x) \, dx","Integrate[-2 - 12*x,x]","-6 x^2-2 x","2 (-3 x-1) x-\log (\log (5))",1,"-2*x - 6*x^2","A",1
320,1,24,24,0.0508076,"\int \frac{274848547600-4294737920 x+25165376 x^2-65536 x^3+64 x^4+e^{\frac{131067 x-1024 x^2+2 x^3}{131065-1024 x+2 x^2}} \left(17178296355 x-268421120 x^2+1572832 x^3-4096 x^4+4 x^5\right)}{17178034225 x-268421120 x^2+1572836 x^3-4096 x^4+4 x^5} \, dx","Integrate[(274848547600 - 4294737920*x + 25165376*x^2 - 65536*x^3 + 64*x^4 + E^((131067*x - 1024*x^2 + 2*x^3)/(131065 - 1024*x + 2*x^2))*(17178296355*x - 268421120*x^2 + 1572832*x^3 - 4096*x^4 + 4*x^5))/(17178034225*x - 268421120*x^2 + 1572836*x^3 - 4096*x^4 + 4*x^5),x]","e^{\frac{2 x}{2 x^2-1024 x+131065}+x}+16 \log (x)","e^{\frac{x}{(256-x)^2-\frac{7}{2}}+x}+16 \log (x)",1,"E^(x + (2*x)/(131065 - 1024*x + 2*x^2)) + 16*Log[x]","A",1
321,1,43,23,0.0101261,"\int \frac{-4-7 x-4 x^2-60 x^4-x^5+6 x^6+\left(2+x+16 x^4-5 x^5\right) \log (x)}{x} \, dx","Integrate[(-4 - 7*x - 4*x^2 - 60*x^4 - x^5 + 6*x^6 + (2 + x + 16*x^4 - 5*x^5)*Log[x])/x,x]","x^6-x^5 \log (x)-16 x^4+4 x^4 \log (x)-2 x^2-8 x+\log ^2(x)+x \log (x)-4 \log (x)","(-x+\log (x)-4) \left((4-x) x^4+2 x+\log (x)\right)",1,"-8*x - 2*x^2 - 16*x^4 + x^6 - 4*Log[x] + x*Log[x] + 4*x^4*Log[x] - x^5*Log[x] + Log[x]^2","A",1
322,1,63,30,0.163119,"\int \frac{112+49 x+e^{2 x} \left(-2960-1061 x+211 x^2+28 x^3\right)+e^{4 x} \left(30800+5360 x-4464 x^2+112 x^3+64 x^4\right)+e^{6 x} \left(-158000+9600 x+28720 x^2-6784 x^3+224 x^4+32 x^5\right)+e^{8 x} \left(400000-120000 x-64000 x^2+35200 x^3-5760 x^4+320 x^5\right)+e^{10 x} \left(-400000+200000 x+40000 x^2-48000 x^3+12800 x^4-1472 x^5+64 x^6\right)}{32+e^{2 x} (-800+160 x)+e^{4 x} \left(8000-3200 x+320 x^2\right)+e^{6 x} \left(-40000+24000 x-4800 x^2+320 x^3\right)+e^{8 x} \left(100000-80000 x+24000 x^2-3200 x^3+160 x^4\right)+e^{10 x} \left(-100000+100000 x-40000 x^2+8000 x^3-800 x^4+32 x^5\right)} \, dx","Integrate[(112 + 49*x + E^(2*x)*(-2960 - 1061*x + 211*x^2 + 28*x^3) + E^(4*x)*(30800 + 5360*x - 4464*x^2 + 112*x^3 + 64*x^4) + E^(6*x)*(-158000 + 9600*x + 28720*x^2 - 6784*x^3 + 224*x^4 + 32*x^5) + E^(8*x)*(400000 - 120000*x - 64000*x^2 + 35200*x^3 - 5760*x^4 + 320*x^5) + E^(10*x)*(-400000 + 200000*x + 40000*x^2 - 48000*x^3 + 12800*x^4 - 1472*x^5 + 64*x^6))/(32 + E^(2*x)*(-800 + 160*x) + E^(4*x)*(8000 - 3200*x + 320*x^2) + E^(6*x)*(-40000 + 24000*x - 4800*x^2 + 320*x^3) + E^(8*x)*(100000 - 80000*x + 24000*x^2 - 3200*x^3 + 160*x^4) + E^(10*x)*(-100000 + 100000*x - 40000*x^2 + 8000*x^3 - 800*x^4 + 32*x^5)),x]","\frac{1}{32} \left(\left(-\frac{8}{\left(e^{2 x} (x-5)+1\right)^2}+\frac{1}{2 \left(e^{2 x} (x-5)+1\right)^4}+32\right) x^2+\left(128-\frac{16}{\left(e^{2 x} (x-5)+1\right)^2}\right) x-1440\right)","\left(\frac{x}{8 \left(1-e^{2 x} (5-x)\right)^2}-x-2\right)^2-5",1,"(-1440 + (128 - 16/(1 + E^(2*x)*(-5 + x))^2)*x + (32 + 1/(2*(1 + E^(2*x)*(-5 + x))^4) - 8/(1 + E^(2*x)*(-5 + x))^2)*x^2)/32","B",1
323,1,16,18,0.0161231,"\int \left(2+4 x+2 \log \left(\frac{1}{4} e^{-8+2 x} x\right)\right) \, dx","Integrate[2 + 4*x + 2*Log[(E^(-8 + 2*x)*x)/4],x]","2 x \log \left(\frac{1}{4} e^{2 x-8} x\right)","2 x \log \left(\frac{1}{4} e^{2 x-8} x\right)-1",1,"2*x*Log[(E^(-8 + 2*x)*x)/4]","A",1
324,1,33,19,0.4310572,"\int \frac{e^{-x} \left(5 e^x \log (x)+e^{\frac{1}{5} e^{-x} \left(-20 \log (2)+e^x \log (\log (x))\right)} \left(e^x+20 x \log (2) \log (x)\right)\right)}{5 x \log (x)} \, dx","Integrate[(5*E^x*Log[x] + E^((-20*Log[2] + E^x*Log[Log[x]])/(5*E^x))*(E^x + 20*x*Log[2]*Log[x]))/(5*E^x*x*Log[x]),x]","\frac{1}{5} \left(5 \log (x)+\frac{2^{1-4 e^{-x}} \log (32) \sqrt[5]{\log (x)}}{\log (4)}\right)","\log (x)+2^{-4 e^{-x}} \sqrt[5]{\log (x)}",1,"((2^(1 - 4/E^x)*Log[32]*Log[x]^(1/5))/Log[4] + 5*Log[x])/5","A",1
325,1,23,24,0.000094,"\int \left(750 x-750 x^2+350 x^6-150 x^2 \log (2)\right) \, dx","Integrate[750*x - 750*x^2 + 350*x^6 - 150*x^2*Log[2],x]","50 x^7-250 x^3-50 x^3 \log (2)+375 x^2","25 x^2 \left(2 x \left(x^4-\log (2)\right)+5 (3-2 x)\right)",1,"375*x^2 - 250*x^3 + 50*x^7 - 50*x^3*Log[2]","A",1
326,1,102,25,0.3085147,"\int \left(-1+9600 e^2 x+2000 e x^2+100 x^3+e^{2+2 x} \left(800 x+800 x^2\right)+\left(5600 e^2 x+600 e x^2\right) \log (5)+800 e^2 x \log ^2(5)+e^x \left(e^2 \left(5600 x+2400 x^2\right)+e \left(600 x^2+200 x^3\right)+e^2 \left(1600 x+800 x^2\right) \log (5)\right)+\left(5600 e^2 x+600 e x^2+e^{2+x} \left(1600 x+800 x^2\right)+1600 e^2 x \log (5)\right) \log (x)+800 e^2 x \log ^2(x)\right) \, dx","Integrate[-1 + 9600*E^2*x + 2000*E*x^2 + 100*x^3 + E^(2 + 2*x)*(800*x + 800*x^2) + (5600*E^2*x + 600*E*x^2)*Log[5] + 800*E^2*x*Log[5]^2 + E^x*(E^2*(5600*x + 2400*x^2) + E*(600*x^2 + 200*x^3) + E^2*(1600*x + 800*x^2)*Log[5]) + (5600*E^2*x + 600*E*x^2 + E^(2 + x)*(1600*x + 800*x^2) + 1600*E^2*x*Log[5])*Log[x] + 800*E^2*x*Log[x]^2,x]","\frac{1}{3} x \left(75 x^3+600 e^{x+1} x^2+200 e x^2 (9+\log (125))+1200 e^{2 x+2} x+1200 e^2 x \log ^2(x)+600 e^2 x \left(18+2 \log ^2(5)+\log (244140625)\right)+600 e x \left(x+4 e^{x+1}+2 e (6+\log (25))\right) \log (x)+2400 e^{x+2} x (3+\log (5))-3\right)","25 x^2 \left(x+4 e \left(e^x+\log (x)+3+\log (5)\right)\right)^2-x",1,"(x*(-3 + 1200*E^(2 + 2*x)*x + 600*E^(1 + x)*x^2 + 75*x^3 + 2400*E^(2 + x)*x*(3 + Log[5]) + 200*E*x^2*(9 + Log[125]) + 600*E^2*x*(18 + 2*Log[5]^2 + Log[244140625]) + 600*E*x*(4*E^(1 + x) + x + 2*E*(6 + Log[25]))*Log[x] + 1200*E^2*x*Log[x]^2))/3","B",1
327,1,18,23,0.346286,"\int \frac{16 e^{e^x}-16 e^{e^x} \log (x) \log (\log (x)) \log (\log (\log (x)))-16 e^{e^x+x} x \log (x) \log (\log (x)) \log (\log (\log (x))) \log \left(\frac{\log (\log (\log (x)))}{x}\right)}{x \log (x) \log (\log (x)) \log (\log (\log (x))) \log ^2\left(\frac{\log (\log (\log (x)))}{x}\right)} \, dx","Integrate[(16*E^E^x - 16*E^E^x*Log[x]*Log[Log[x]]*Log[Log[Log[x]]] - 16*E^(E^x + x)*x*Log[x]*Log[Log[x]]*Log[Log[Log[x]]]*Log[Log[Log[Log[x]]]/x])/(x*Log[x]*Log[Log[x]]*Log[Log[Log[x]]]*Log[Log[Log[Log[x]]]/x]^2),x]","-\frac{16 e^{e^x}}{\log \left(\frac{\log (\log (\log (x)))}{x}\right)}","-16 \left(\frac{e^{e^x}}{\log \left(\frac{\log (\log (\log (x)))}{x}\right)}+5\right)-2",1,"(-16*E^E^x)/Log[Log[Log[Log[x]]]/x]","A",1
328,1,28,29,0.0398527,"\int -\frac{55 e^{\frac{5}{2 \log \left(\frac{1}{4} (20-11 x)\right)}} (i \pi +\log (2))}{(-40+22 x) \log ^2\left(\frac{1}{4} (20-11 x)\right)} \, dx","Integrate[(-55*E^(5/(2*Log[(20 - 11*x)/4]))*(I*Pi + Log[2]))/((-40 + 22*x)*Log[(20 - 11*x)/4]^2),x]","i (\pi -i \log (2)) e^{\frac{5}{2 \log \left(5-\frac{11 x}{4}\right)}}","(\log (2)+i \pi ) e^{\frac{5}{2 \log \left(5 \left(1-\frac{3 x}{4}\right)+x\right)}}",1,"I*E^(5/(2*Log[5 - (11*x)/4]))*(Pi - I*Log[2])","A",1
329,1,10,13,0.0000743,"\int (1+2 x-2 \log (9)) \, dx","Integrate[1 + 2*x - 2*Log[9],x]","x^2+x-2 x \log (9)","x^2+x-2 x \log (9)-\frac{19}{4}",1,"x + x^2 - 2*x*Log[9]","A",1
330,1,14,14,0.1711439,"\int \frac{e^{\frac{5}{-4 x^2+x^2 \log (\log (x))}} (-5+40 \log (x)-10 \log (x) \log (\log (x)))}{16 x^3 \log (x)-8 x^3 \log (x) \log (\log (x))+x^3 \log (x) \log ^2(\log (x))} \, dx","Integrate[(E^(5/(-4*x^2 + x^2*Log[Log[x]]))*(-5 + 40*Log[x] - 10*Log[x]*Log[Log[x]]))/(16*x^3*Log[x] - 8*x^3*Log[x]*Log[Log[x]] + x^3*Log[x]*Log[Log[x]]^2),x]","e^{\frac{5}{x^2 (\log (\log (x))-4)}}","e^{\frac{5}{x^2 (\log (\log (x))-4)}}",1,"E^(5/(x^2*(-4 + Log[Log[x]])))","A",1
331,1,50,29,0.1839707,"\int \frac{e^{-x} \left(-4-4 e^5 x+4 x \log (x)+\left(-9+x^2+e^5 \left(-10 x+x^2\right)+\left(10 x-x^2\right) \log (x)\right) \log (\log (2))\right)}{x \log (\log (2))} \, dx","Integrate[(-4 - 4*E^5*x + 4*x*Log[x] + (-9 + x^2 + E^5*(-10*x + x^2) + (10*x - x^2)*Log[x])*Log[Log[2]])/(E^x*x*Log[Log[2]]),x]","\frac{e^{-x} \left(x (-\log (\log (2)))+e^5 (x (-\log (\log (2)))+4+9 \log (\log (2)))+\log (x) (x \log (\log (2))-4-9 \log (\log (2)))\right)}{\log (\log (2))}","e^{-x} \left(\left(\log (x)-e^5\right) \left(x-9-\frac{4}{\log (\log (2))}\right)-x\right)",1,"(-(x*Log[Log[2]]) + E^5*(4 + 9*Log[Log[2]] - x*Log[Log[2]]) + Log[x]*(-4 - 9*Log[Log[2]] + x*Log[Log[2]]))/(E^x*Log[Log[2]])","A",1
332,1,29,28,0.242169,"\int \frac{50+\exp \left(x+\frac{1}{25} e^x \left(e^6-10 e^3 \log (4)+25 \log ^2(4)\right)\right) \left(-2 e^6+20 e^3 \log (4)-50 \log ^2(4)\right)}{225 e^{\frac{3}{25} e^x \left(e^6-10 e^3 \log (4)+25 \log ^2(4)\right)}-675 e^{\frac{2}{25} e^x \left(e^6-10 e^3 \log (4)+25 \log ^2(4)\right)} x+675 e^{\frac{1}{25} e^x \left(e^6-10 e^3 \log (4)+25 \log ^2(4)\right)} x^2-225 x^3} \, dx","Integrate[(50 + E^(x + (E^x*(E^6 - 10*E^3*Log[4] + 25*Log[4]^2))/25)*(-2*E^6 + 20*E^3*Log[4] - 50*Log[4]^2))/(225*E^((3*E^x*(E^6 - 10*E^3*Log[4] + 25*Log[4]^2))/25) - 675*E^((2*E^x*(E^6 - 10*E^3*Log[4] + 25*Log[4]^2))/25)*x + 675*E^((E^x*(E^6 - 10*E^3*Log[4] + 25*Log[4]^2))/25)*x^2 - 225*x^3),x]","\frac{1}{9 \left(e^{\frac{1}{25} e^x \left(e^3-5 \log (4)\right)^2}-x\right)^2}","\frac{1}{9 \left(x-e^{e^x \left(\log (4)-\frac{e^3}{5}\right)^2}\right)^2}",1,"1/(9*(E^((E^x*(E^3 - 5*Log[4])^2)/25) - x)^2)","A",1
333,1,29,30,0.0316122,"\int \frac{e^{2 \log ^2(x)} \left(64 x+32 x^2-96 x^3+\left(64 x+32 x^2-96 x^3\right) \log (15)+\left(16 x+8 x^2-24 x^3\right) \log ^2(15)+\left(128 x-64 x^2+64 x^3+\left(128 x-64 x^2+64 x^3\right) \log (15)+\left(32 x-16 x^2+16 x^3\right) \log ^2(15)\right) \log (x)\right)}{32-80 x+160 x^2-200 x^3+210 x^4-161 x^5+105 x^6-50 x^7+20 x^8-5 x^9+x^{10}} \, dx","Integrate[(E^(2*Log[x]^2)*(64*x + 32*x^2 - 96*x^3 + (64*x + 32*x^2 - 96*x^3)*Log[15] + (16*x + 8*x^2 - 24*x^3)*Log[15]^2 + (128*x - 64*x^2 + 64*x^3 + (128*x - 64*x^2 + 64*x^3)*Log[15] + (32*x - 16*x^2 + 16*x^3)*Log[15]^2)*Log[x]))/(32 - 80*x + 160*x^2 - 200*x^3 + 210*x^4 - 161*x^5 + 105*x^6 - 50*x^7 + 20*x^8 - 5*x^9 + x^10),x]","\frac{4 x^2 (2+\log (15))^2 e^{2 \log ^2(x)}}{\left(x^2-x+2\right)^4}","\frac{x^2 (4+2 \log (15))^2 e^{2 \log ^2(x)}}{\left(x^2-x+2\right)^4}",1,"(4*E^(2*Log[x]^2)*x^2*(2 + Log[15])^2)/(2 - x + x^2)^4","A",1
334,1,25,17,0.0026244,"\int \frac{-1+6 x^2+x^2 \log \left(x^2\right)}{2 x} \, dx","Integrate[(-1 + 6*x^2 + x^2*Log[x^2])/(2*x),x]","\frac{5 x^2}{4}+\frac{1}{4} x^2 \log \left(x^2\right)-\frac{\log (x)}{2}","\frac{1}{4} \left(x^2-1\right) \left(\log \left(x^2\right)+5\right)-2",1,"(5*x^2)/4 - Log[x]/2 + (x^2*Log[x^2])/4","A",1
335,1,32,30,0.4828367,"\int \frac{e^6-4 x^2+e^x x^2+\log (3)}{e^{12}+x^2+16 e^6 x^2+e^{2 x} x^2-8 x^3+16 x^4+e^6 \left(-2 x-8 e^3 x+8 x^2\right)+e^3 \left(8 x^2-32 x^3\right)+\left(2 e^6-2 x-8 e^3 x+8 x^2\right) \log (3)+\log ^2(3)+e^x \left(-2 e^6 x+2 x^2+8 e^3 x^2-8 x^3-2 x \log (3)\right)} \, dx","Integrate[(E^6 - 4*x^2 + E^x*x^2 + Log[3])/(E^12 + x^2 + 16*E^6*x^2 + E^(2*x)*x^2 - 8*x^3 + 16*x^4 + E^6*(-2*x - 8*E^3*x + 8*x^2) + E^3*(8*x^2 - 32*x^3) + (2*E^6 - 2*x - 8*E^3*x + 8*x^2)*Log[3] + Log[3]^2 + E^x*(-2*E^6*x + 2*x^2 + 8*E^3*x^2 - 8*x^3 - 2*x*Log[3])),x]","-\frac{x}{-4 x^2+e^x x+4 e^3 x+x-e^6-\log (3)}","\frac{x}{\left(4 \left(x-e^3\right)-e^x\right) x-x+e^6+\log (3)}",1,"-(x/(-E^6 + x + 4*E^3*x + E^x*x - 4*x^2 - Log[3]))","A",1
336,1,33,33,0.1963298,"\int \frac{1}{18} \left(\left(27 x-18 x^2+3 x^3+\left(36 x-24 x^2+4 x^3\right) \log \left(\frac{4}{x}\right)\right) \log (x)+\left(9 x-15 x^2+4 x^3+\left(36 x-36 x^2+8 x^3\right) \log \left(\frac{4}{x}\right)\right) \log ^2(x)+e^{2 e^x} \left(\left(3 x+4 x \log \left(\frac{4}{x}\right)\right) \log (x)+\left(x+3 e^x x^2+\left(4 x+4 e^x x^2\right) \log \left(\frac{4}{x}\right)\right) \log ^2(x)\right)+e^{e^x} \left(\left(18 x-6 x^2+\left(24 x-8 x^2\right) \log \left(\frac{4}{x}\right)\right) \log (x)+\left(6 x-5 x^2+e^x \left(9 x^2-3 x^3\right)+\left(24 x-12 x^2+e^x \left(12 x^2-4 x^3\right)\right) \log \left(\frac{4}{x}\right)\right) \log ^2(x)\right)\right) \, dx","Integrate[((27*x - 18*x^2 + 3*x^3 + (36*x - 24*x^2 + 4*x^3)*Log[4/x])*Log[x] + (9*x - 15*x^2 + 4*x^3 + (36*x - 36*x^2 + 8*x^3)*Log[4/x])*Log[x]^2 + E^(2*E^x)*((3*x + 4*x*Log[4/x])*Log[x] + (x + 3*E^x*x^2 + (4*x + 4*E^x*x^2)*Log[4/x])*Log[x]^2) + E^E^x*((18*x - 6*x^2 + (24*x - 8*x^2)*Log[4/x])*Log[x] + (6*x - 5*x^2 + E^x*(9*x^2 - 3*x^3) + (24*x - 12*x^2 + E^x*(12*x^2 - 4*x^3))*Log[4/x])*Log[x]^2))/18,x]","\frac{1}{36} \left(-x+e^{e^x}+3\right)^2 x^2 \left(4 \log \left(\frac{4}{x}\right)+3\right) \log ^2(x)","\frac{1}{9} \left(-x+e^{e^x}+3\right)^2 x^2 \left(\log \left(\frac{4}{x}\right)+\frac{3}{4}\right) \log ^2(x)",1,"((3 + E^E^x - x)^2*x^2*(3 + 4*Log[4/x])*Log[x]^2)/36","A",1
337,1,38,35,0.0752411,"\int \frac{88 x-21 x^2-10 x^3+2 x^4+\left(-96+19 x+11 x^2-2 x^3\right) \log (3+x)+\left(-12 x-x^2+x^3+\left(12+x-x^2\right) \log (3+x)\right) \log \left(\frac{x-\log (3+x)}{\left(-4 x+x^2\right) \log (5)}\right)}{60 x+5 x^2-5 x^3+\left(-60-5 x+5 x^2\right) \log (3+x)} \, dx","Integrate[(88*x - 21*x^2 - 10*x^3 + 2*x^4 + (-96 + 19*x + 11*x^2 - 2*x^3)*Log[3 + x] + (-12*x - x^2 + x^3 + (12 + x - x^2)*Log[3 + x])*Log[(x - Log[3 + x])/((-4*x + x^2)*Log[5])])/(60*x + 5*x^2 - 5*x^3 + (-60 - 5*x + 5*x^2)*Log[3 + x]),x]","\frac{1}{5} \left(-x^2+7 x-x \log \left(\frac{x-\log (x+3)}{(x-4) x \log (5)}\right)\right)","x-\frac{1}{5} x \left(x+\log \left(\frac{\log (x+3)-x}{(4-x) x \log (5)}\right)-2\right)-5",1,"(7*x - x^2 - x*Log[(x - Log[3 + x])/((-4 + x)*x*Log[5])])/5","A",1
338,1,31,30,0.145254,"\int \frac{-132 x-e^{6 e^6} x-1800 x^3-9375 x^5-15625 x^7+e^{4 e^6} \left(-15 x-75 x^3\right)+e^x \left(2+5 x-100 x^2+25 x^3\right)+e^{2 e^6} \left(-76 x+e^x x-750 x^3-1875 x^5\right)+\left(76 x+3 e^{4 e^6} x-e^x x+750 x^3+1875 x^5+e^{2 e^6} \left(30 x+150 x^3\right)\right) \log (x)+\left(-15 x-3 e^{2 e^6} x-75 x^3\right) \log ^2(x)+x \log ^3(x)}{-125 x-e^{6 e^6} x-1875 x^3-9375 x^5-15625 x^7+e^{4 e^6} \left(-15 x-75 x^3\right)+e^{2 e^6} \left(-75 x-750 x^3-1875 x^5\right)+\left(75 x+3 e^{4 e^6} x+750 x^3+1875 x^5+e^{2 e^6} \left(30 x+150 x^3\right)\right) \log (x)+\left(-15 x-3 e^{2 e^6} x-75 x^3\right) \log ^2(x)+x \log ^3(x)} \, dx","Integrate[(-132*x - E^(6*E^6)*x - 1800*x^3 - 9375*x^5 - 15625*x^7 + E^(4*E^6)*(-15*x - 75*x^3) + E^x*(2 + 5*x - 100*x^2 + 25*x^3) + E^(2*E^6)*(-76*x + E^x*x - 750*x^3 - 1875*x^5) + (76*x + 3*E^(4*E^6)*x - E^x*x + 750*x^3 + 1875*x^5 + E^(2*E^6)*(30*x + 150*x^3))*Log[x] + (-15*x - 3*E^(2*E^6)*x - 75*x^3)*Log[x]^2 + x*Log[x]^3)/(-125*x - E^(6*E^6)*x - 1875*x^3 - 9375*x^5 - 15625*x^7 + E^(4*E^6)*(-15*x - 75*x^3) + E^(2*E^6)*(-75*x - 750*x^3 - 1875*x^5) + (75*x + 3*E^(4*E^6)*x + 750*x^3 + 1875*x^5 + E^(2*E^6)*(30*x + 150*x^3))*Log[x] + (-15*x - 3*E^(2*E^6)*x - 75*x^3)*Log[x]^2 + x*Log[x]^3),x]","x-\frac{e^x-x}{\left(-25 x^2+\log (x)-e^{2 e^6}-5\right)^2}","\frac{x-e^x}{\left(25 x^2-\log (x)+e^{2 e^6}+5\right)^2}+x",1,"x - (E^x - x)/(-5 - E^(2*E^6) - 25*x^2 + Log[x])^2","A",1
339,1,25,33,5.0878518,"\int \frac{e^{6-2 e^x x+2 x \log (25-x)} \left(\left(50-2 x+2 x^2\right) \log (2)+e^x \left(50 x+48 x^2-2 x^3\right) \log (2)+\left(-50 x+2 x^2\right) \log (2) \log (25-x)\right)}{-25 x^3+x^4} \, dx","Integrate[(E^(6 - 2*E^x*x + 2*x*Log[25 - x])*((50 - 2*x + 2*x^2)*Log[2] + E^x*(50*x + 48*x^2 - 2*x^3)*Log[2] + (-50*x + 2*x^2)*Log[2]*Log[25 - x]))/(-25*x^3 + x^4),x]","\frac{e^{6-2 e^x x} (25-x)^{2 x} \log (2)}{x^2}","\frac{\log (2) e^{2 x^2+2 x \left(-x-e^x+\log (25-x)\right)+6}}{x^2}",1,"(E^(6 - 2*E^x*x)*(25 - x)^(2*x)*Log[2])/x^2","A",1
340,1,35,34,0.3120297,"\int \frac{\exp \left(\frac{-5 x-5 x^2-5 x^3+\left(-6+e^x (-2-x)-3 x\right) \log (\log (x))}{10 x^2+5 x^3}\right) \left(-12-12 x-3 x^2+e^x \left(-4-4 x-x^2\right)+\left(10 x+10 x^2-5 x^3\right) \log (x)+\left(24+24 x+6 x^2+e^x \left(8+4 x-2 x^2-x^3\right)\right) \log (x) \log (\log (x))\right)}{\left(20 x^3+20 x^4+5 x^5\right) \log (x)} \, dx","Integrate[(E^((-5*x - 5*x^2 - 5*x^3 + (-6 + E^x*(-2 - x) - 3*x)*Log[Log[x]])/(10*x^2 + 5*x^3))*(-12 - 12*x - 3*x^2 + E^x*(-4 - 4*x - x^2) + (10*x + 10*x^2 - 5*x^3)*Log[x] + (24 + 24*x + 6*x^2 + E^x*(8 + 4*x - 2*x^2 - x^3))*Log[x]*Log[Log[x]]))/((20*x^3 + 20*x^4 + 5*x^5)*Log[x]),x]","e^{-\frac{x^2+x+1}{x^2+2 x}} \log ^{-\frac{e^x+3}{5 x^2}}(x)","e^{\frac{\frac{x-1}{x+2}-x-\frac{\left(e^x+3\right) \log (\log (x))}{5 x}}{x}}",1,"1/(E^((1 + x + x^2)/(2*x + x^2))*Log[x]^((3 + E^x)/(5*x^2)))","A",1
341,1,26,26,6.6677506,"\int e^{-1-e^x-x+e^{3+\log ^x(12)} \left(16-8 x+x^2\right)} \left(-1-e^x+e^{3+\log ^x(12)} \left(-8+2 x+\left(16-8 x+x^2\right) \log ^x(12) \log (\log (12))\right)\right) \, dx","Integrate[E^(-1 - E^x - x + E^(3 + Log[12]^x)*(16 - 8*x + x^2))*(-1 - E^x + E^(3 + Log[12]^x)*(-8 + 2*x + (16 - 8*x + x^2)*Log[12]^x*Log[Log[12]])),x]","e^{-e^x-x+(x-4)^2 e^{\log ^x(12)+3}-1}","e^{-e^x-x+(x-4)^2 e^{\log ^x(12)+3}-1}",1,"E^(-1 - E^x + E^(3 + Log[12]^x)*(-4 + x)^2 - x)","A",1
342,1,37,27,0.2850512,"\int \frac{-40 x-10 e^{2 x} x+\left(-160 x-160 x^3\right) \log (4)+e^x \left(40 x+\left(-20+80 x-40 x^2+80 x^3-20 x^4\right) \log (4)\right)}{4-4 e^x+e^{2 x}} \, dx","Integrate[(-40*x - 10*E^(2*x)*x + (-160*x - 160*x^3)*Log[4] + E^x*(40*x + (-20 + 80*x - 40*x^2 + 80*x^3 - 20*x^4)*Log[4]))/(4 - 4*E^x + E^(2*x)),x]","-10 \left(\frac{x^2}{2}+\frac{x^4 (-\log (16))-4 x^2 \log (4)-\log (16)}{e^x-2}\right)","5 \left(-x^2+\frac{4 \left(x^2+1\right)^2 \log (4)}{e^x-2}+9\right)",1,"-10*(x^2/2 + (-4*x^2*Log[4] - Log[16] - x^4*Log[16])/(-2 + E^x))","A",1
343,1,35,34,0.5100389,"\int \frac{\left(2 e^5 x+e^x \left(-e^5 x+x^3\right)\right) \log ^3(x)+\left(-4 x^2+2 e^x x^2\right) \log \left(2-e^x\right) \log ^3(x)+e^{\frac{4-16 \log (x)+16 \log ^2(x)}{\log ^2(x)}} \left(16-8 e^x+\left(-32+16 e^x\right) \log (x)\right)}{\left(-2 x+e^x x\right) \log ^3(x)} \, dx","Integrate[((2*E^5*x + E^x*(-(E^5*x) + x^3))*Log[x]^3 + (-4*x^2 + 2*E^x*x^2)*Log[2 - E^x]*Log[x]^3 + E^((4 - 16*Log[x] + 16*Log[x]^2)/Log[x]^2)*(16 - 8*E^x + (-32 + 16*E^x)*Log[x]))/((-2*x + E^x*x)*Log[x]^3),x]","x^2 \log \left(2-e^x\right)-e^5 x+e^{\frac{4}{\log ^2(x)}-\frac{16}{\log (x)}+16}","x \left(x \log \left(2-e^x\right)+\frac{e^{4 \left(\frac{1}{\log (x)}-2\right)^2}}{x}-e^5\right)",1,"E^(16 + 4/Log[x]^2 - 16/Log[x]) - E^5*x + x^2*Log[2 - E^x]","A",1
344,1,16,13,0.0154287,"\int \frac{-6-3 x-6 \log (x)}{x^2 \log ^2(x)} \, dx","Integrate[(-6 - 3*x - 6*Log[x])/(x^2*Log[x]^2),x]","\frac{6}{x \log (x)}+\frac{3}{\log (x)}","\frac{3 \left(\frac{2}{x}+1\right)}{\log (x)}",1,"3/Log[x] + 6/(x*Log[x])","A",1
345,1,24,27,0.3934115,"\int e^{e^{5+e^x+x}} \left(e^{5+e^x+x} \left(e^{\frac{100-4 x^2 \log ^2(5)}{\log ^2(5)}} x+e^{x+\frac{100-4 x^2 \log ^2(5)}{\log ^2(5)}} x\right)+e^{\frac{100-4 x^2 \log ^2(5)}{\log ^2(5)}} \left(1-8 x^2\right)\right) \, dx","Integrate[E^E^(5 + E^x + x)*(E^(5 + E^x + x)*(E^((100 - 4*x^2*Log[5]^2)/Log[5]^2)*x + E^(x + (100 - 4*x^2*Log[5]^2)/Log[5]^2)*x) + E^((100 - 4*x^2*Log[5]^2)/Log[5]^2)*(1 - 8*x^2)),x]","x e^{-4 x^2+e^{x+e^x+5}+\frac{100}{\log ^2(5)}}","x e^{4 \left(\frac{25}{\log ^2(5)}-x^2\right)+e^{x+e^x+5}}",1,"E^(E^(5 + E^x + x) - 4*x^2 + 100/Log[5]^2)*x","A",1
346,1,8,8,0.0000966,"\int \frac{18 x}{e} \, dx","Integrate[(18*x)/E,x]","\frac{9 x^2}{e}","\frac{9 x^2}{e}",1,"(9*x^2)/E","A",1
347,1,48,31,0.0660205,"\int \frac{e^e \left(-432 x^2-576 x^3-180 x^4-256 x^6-512 x^7-384 x^8-128 x^9-16 x^{10}+e^{x^2} \left(288 x^2+384 x^3-72 x^4-192 x^5-48 x^6\right)+e^{2 x^2} \left(-48 x^2-64 x^3+44 x^4+64 x^5+16 x^6\right)\right)}{81-12 e^{3 x^2}+e^{4 x^2}-288 x^4-288 x^5-72 x^6+256 x^8+512 x^9+384 x^{10}+128 x^{11}+16 x^{12}+e^{2 x^2} \left(54-32 x^4-32 x^5-8 x^6\right)+e^{x^2} \left(-108+192 x^4+192 x^5+48 x^6\right)} \, dx","Integrate[(E^E*(-432*x^2 - 576*x^3 - 180*x^4 - 256*x^6 - 512*x^7 - 384*x^8 - 128*x^9 - 16*x^10 + E^x^2*(288*x^2 + 384*x^3 - 72*x^4 - 192*x^5 - 48*x^6) + E^(2*x^2)*(-48*x^2 - 64*x^3 + 44*x^4 + 64*x^5 + 16*x^6)))/(81 - 12*E^(3*x^2) + E^(4*x^2) - 288*x^4 - 288*x^5 - 72*x^6 + 256*x^8 + 512*x^9 + 384*x^10 + 128*x^11 + 16*x^12 + E^(2*x^2)*(54 - 32*x^4 - 32*x^5 - 8*x^6) + E^x^2*(-108 + 192*x^4 + 192*x^5 + 48*x^6)),x]","\frac{4 e^e x^3 (x+2)^2}{4 x^6+16 x^5+16 x^4+6 e^{x^2}-e^{2 x^2}-9}","\frac{e^e}{x-\frac{\left(3-e^{x^2}\right)^2}{x^3 (2 x+4)^2}}",1,"(4*E^E*x^3*(2 + x)^2)/(-9 + 6*E^x^2 - E^(2*x^2) + 16*x^4 + 16*x^5 + 4*x^6)","A",1
348,1,24,26,0.7176777,"\int \frac{4^{\frac{1}{x}} \left(\frac{1}{1-4 x+6 x^2-4 x^3+x^4}\right)^{\frac{1}{x}} \left(-4 x-3 x^2-x^3+\left(1-x^2\right) \log \left(\frac{4}{1-4 x+6 x^2-4 x^3+x^4}\right)\right)}{-2 x^2-2 x^3+2 x^4+2 x^5} \, dx","Integrate[(4^x^(-1)*((1 - 4*x + 6*x^2 - 4*x^3 + x^4)^(-1))^x^(-1)*(-4*x - 3*x^2 - x^3 + (1 - x^2)*Log[4/(1 - 4*x + 6*x^2 - 4*x^3 + x^4)]))/(-2*x^2 - 2*x^3 + 2*x^4 + 2*x^5),x]","\frac{2^{\frac{2}{x}-1} \left(\frac{1}{(x-1)^4}\right)^{\frac{1}{x}}}{x+1}","\frac{2^{\frac{2}{x}-1} \left(\frac{1}{(1-x)^4}\right)^{\frac{1}{x}}}{x+1}",1,"(2^(-1 + 2/x)*((-1 + x)^(-4))^x^(-1))/(1 + x)","A",1
349,1,29,37,0.2904314,"\int \frac{\exp \left(\frac{15+15 e^{\frac{3+e^x x}{x}}-3 x}{x+e^{\frac{3+e^x x}{x}} x}\right) \left(-15+e^{\frac{2 \left(3+e^x x\right)}{x}} (-15-x)-x+e^{\frac{3+e^x x}{x}} \left(-39-2 x+3 e^x x^2\right)\right)}{x^3+2 e^{\frac{3+e^x x}{x}} x^3+e^{\frac{2 \left(3+e^x x\right)}{x}} x^3} \, dx","Integrate[(E^((15 + 15*E^((3 + E^x*x)/x) - 3*x)/(x + E^((3 + E^x*x)/x)*x))*(-15 + E^((2*(3 + E^x*x))/x)*(-15 - x) - x + E^((3 + E^x*x)/x)*(-39 - 2*x + 3*E^x*x^2)))/(x^3 + 2*E^((3 + E^x*x)/x)*x^3 + E^((2*(3 + E^x*x))/x)*x^3),x]","\frac{e^{\frac{15}{x}-\frac{3}{e^{e^x+\frac{3}{x}}+1}}}{x}","\frac{e^{\frac{3 \left(5-\frac{x}{e^{\frac{e^x x+3}{x}}+1}\right)}{x}}-x}{x}",1,"E^(-3/(1 + E^(E^x + 3/x)) + 15/x)/x","A",1
350,1,10,22,0.0036953,"\int \frac{1-4 e^{2 x} x}{x} \, dx","Integrate[(1 - 4*E^(2*x)*x)/x,x]","\log (x)-2 e^{2 x}","\log \left(\frac{1}{5} (1+e)^2 e^{-2 e^{2 x}-2} x\right)",1,"-2*E^(2*x) + Log[x]","A",1
351,1,145,30,0.4407919,"\int \frac{625+9225 x+46950 x^2+78550 x^3+753 x^4+3798 x^5+6266 x^6+15 x^7+75 x^8+125 x^9+e^8 \left(x^4+15 x^5+75 x^6+125 x^7\right)+e^4 \left(-50 x^2-750 x^3-3783 x^4-6267 x^5-30 x^6-150 x^7-250 x^8\right)}{625+9375 x+46950 x^2+78550 x^3+750 x^4+3753 x^5+6266 x^6+15 x^7+75 x^8+125 x^9+e^8 \left(x^4+15 x^5+75 x^6+125 x^7\right)+e^4 \left(-50 x^2-750 x^3-3753 x^4-6267 x^5-30 x^6-150 x^7-250 x^8\right)} \, dx","Integrate[(625 + 9225*x + 46950*x^2 + 78550*x^3 + 753*x^4 + 3798*x^5 + 6266*x^6 + 15*x^7 + 75*x^8 + 125*x^9 + E^8*(x^4 + 15*x^5 + 75*x^6 + 125*x^7) + E^4*(-50*x^2 - 750*x^3 - 3783*x^4 - 6267*x^5 - 30*x^6 - 150*x^7 - 250*x^8))/(625 + 9375*x + 46950*x^2 + 78550*x^3 + 750*x^4 + 3753*x^5 + 6266*x^6 + 15*x^7 + 75*x^8 + 125*x^9 + E^8*(x^4 + 15*x^5 + 75*x^6 + 125*x^7) + E^4*(-50*x^2 - 750*x^3 - 3753*x^4 - 6267*x^5 - 30*x^6 - 150*x^7 - 250*x^8)),x]","x+2 \log (5 x+1)+\log \left((5 x+1)^3-5 e^4 (5 x+1)^2-3 (5 x+1)^2+10 e^4 (5 x+1)+3 (5 x+1)-5 e^4+3124\right)-\log \left((5 x+1)^5-5 e^4 (5 x+1)^4-3 (5 x+1)^4+10 e^4 (5 x+1)^3+3 (5 x+1)^3-5 e^4 (5 x+1)^2+3139 (5 x+1)^2-30 (5 x+1)+15\right)","x-\log \left(\frac{3}{(5 x+1)^2 \left(\frac{25}{x^2}+x-e^4\right)}+1\right)",1,"x + 2*Log[1 + 5*x] + Log[3124 - 5*E^4 + 3*(1 + 5*x) + 10*E^4*(1 + 5*x) - 3*(1 + 5*x)^2 - 5*E^4*(1 + 5*x)^2 + (1 + 5*x)^3] - Log[15 - 30*(1 + 5*x) + 3139*(1 + 5*x)^2 - 5*E^4*(1 + 5*x)^2 + 3*(1 + 5*x)^3 + 10*E^4*(1 + 5*x)^3 - 3*(1 + 5*x)^4 - 5*E^4*(1 + 5*x)^4 + (1 + 5*x)^5]","B",1
352,1,29,30,0.5708091,"\int \frac{e^{-\frac{20 e^{e^x}}{x}} \left(-20 x+x^3-3 x^5+e^{e^x} \left(400+20 x^2-20 x^4+e^x \left(-400 x-20 x^3+20 x^5\right)\right)\right)}{2 x^3} \, dx","Integrate[(-20*x + x^3 - 3*x^5 + E^E^x*(400 + 20*x^2 - 20*x^4 + E^x*(-400*x - 20*x^3 + 20*x^5)))/(2*E^((20*E^E^x)/x)*x^3),x]","\frac{e^{-\frac{20 e^{e^x}}{x}} \left(-x^4+x^2+20\right)}{2 x}","\frac{1}{2} e^{-\frac{20 e^{e^x}}{x}} \left(x+\frac{4}{x}\right) \left(5-x^2\right)",1,"(20 + x^2 - x^4)/(2*E^((20*E^E^x)/x)*x)","A",1
353,1,20,24,0.3808801,"\int \frac{-120+120 x+e^{e^{2 x}} \left(300-300 x+e^{2 x} \left(300-600 x+300 x^2\right)\right)}{4-20 e^{e^{2 x}}+25 e^{2 e^{2 x}}} \, dx","Integrate[(-120 + 120*x + E^E^(2*x)*(300 - 300*x + E^(2*x)*(300 - 600*x + 300*x^2)))/(4 - 20*E^E^(2*x) + 25*E^(2*E^(2*x))),x]","-\frac{30 (x-1)^2}{5 e^{e^{2 x}}-2}","\frac{6 (1-x)^2}{\frac{2}{5}-e^{e^{2 x}}}",1,"(-30*(-1 + x)^2)/(-2 + 5*E^E^(2*x))","A",1
354,1,12,17,0.0544704,"\int \frac{-1+x^{-1+x} (2-x-x \log (x))}{x^2} \, dx","Integrate[(-1 + x^(-1 + x)*(2 - x - x*Log[x]))/x^2,x]","-\frac{x^x-x}{x^2}","-\frac{x^{x-1}-1}{x}+e^2-3",1,"-((-x + x^x)/x^2)","A",1
355,1,20,20,0.4704404,"\int \frac{\left(2000000 x-800000 x^2+80000 x^3+\left(-800000 x+160000 x^2\right) \log (x)+80000 x \log ^2(x)\right) \log \left(e^5+5 x\right)+\left(600000 x-720000 x^2+120000 x^3+e^5 \left(120000-144000 x+24000 x^2\right)+\left(-320000 x+160000 x^2+e^5 (-64000+32000 x)\right) \log (x)+\left(8000 e^5+40000 x\right) \log ^2(x)\right) \log ^2\left(e^5+5 x\right)}{e^5+5 x} \, dx","Integrate[((2000000*x - 800000*x^2 + 80000*x^3 + (-800000*x + 160000*x^2)*Log[x] + 80000*x*Log[x]^2)*Log[E^5 + 5*x] + (600000*x - 720000*x^2 + 120000*x^3 + E^5*(120000 - 144000*x + 24000*x^2) + (-320000*x + 160000*x^2 + E^5*(-64000 + 32000*x))*Log[x] + (8000*E^5 + 40000*x)*Log[x]^2)*Log[E^5 + 5*x]^2)/(E^5 + 5*x),x]","8000 x (x+\log (x)-5)^2 \log ^2\left(5 x+e^5\right)","8000 x (x+\log (x)-5)^2 \log ^2\left(5 x+e^5\right)",1,"8000*x*(-5 + x + Log[x])^2*Log[E^5 + 5*x]^2","A",1
356,1,69,28,0.0815509,"\int \frac{-200 x-1592 x^2+96 x^3+256 x^4+e^3 \left(-40 x-320 x^2\right)+\left(2000+400 e^3-80 x-320 x^2\right) \log (x)+\left(-40 x-320 x^2\right) \log ^2(x)+400 \log ^3(x)}{381924 x+625 e^{12} x-61800 x^2-243464 x^3+29788 x^4+58577 x^5-4784 x^6-6304 x^7+256 x^8+256 x^9+e^9 \left(12500 x-500 x^2-2000 x^3\right)+e^6 \left(93400 x-7500 x^2-29850 x^3+1200 x^4+2400 x^5\right)+e^3 \left(309000 x-37360 x^2-147940 x^3+11980 x^4+23760 x^5-960 x^6-1280 x^7\right)+\left(309000 x+2500 e^9 x-37360 x^2-147940 x^3+11980 x^4+23760 x^5-960 x^6-1280 x^7+e^6 \left(37500 x-1500 x^2-6000 x^3\right)+e^3 \left(186800 x-15000 x^2-59700 x^3+2400 x^4+4800 x^5\right)\right) \log ^2(x)+\left(93400 x+3750 e^6 x-7500 x^2-29850 x^3+1200 x^4+2400 x^5+e^3 \left(37500 x-1500 x^2-6000 x^3\right)\right) \log ^4(x)+\left(12500 x+2500 e^3 x-500 x^2-2000 x^3\right) \log ^6(x)+625 x \log ^8(x)} \, dx","Integrate[(-200*x - 1592*x^2 + 96*x^3 + 256*x^4 + E^3*(-40*x - 320*x^2) + (2000 + 400*E^3 - 80*x - 320*x^2)*Log[x] + (-40*x - 320*x^2)*Log[x]^2 + 400*Log[x]^3)/(381924*x + 625*E^12*x - 61800*x^2 - 243464*x^3 + 29788*x^4 + 58577*x^5 - 4784*x^6 - 6304*x^7 + 256*x^8 + 256*x^9 + E^9*(12500*x - 500*x^2 - 2000*x^3) + E^6*(93400*x - 7500*x^2 - 29850*x^3 + 1200*x^4 + 2400*x^5) + E^3*(309000*x - 37360*x^2 - 147940*x^3 + 11980*x^4 + 23760*x^5 - 960*x^6 - 1280*x^7) + (309000*x + 2500*E^9*x - 37360*x^2 - 147940*x^3 + 11980*x^4 + 23760*x^5 - 960*x^6 - 1280*x^7 + E^6*(37500*x - 1500*x^2 - 6000*x^3) + E^3*(186800*x - 15000*x^2 - 59700*x^3 + 2400*x^4 + 4800*x^5))*Log[x]^2 + (93400*x + 3750*E^6*x - 7500*x^2 - 29850*x^3 + 1200*x^4 + 2400*x^5 + E^3*(37500*x - 1500*x^2 - 6000*x^3))*Log[x]^4 + (12500*x + 2500*E^3*x - 500*x^2 - 2000*x^3)*Log[x]^6 + 625*x*Log[x]^8),x]","-\frac{4}{16 x^4+8 x^3-199 x^2-10 e^3 \left(4 x^2+x-25\right)+10 \left(-4 x^2-x+5 e^3+25\right) \log ^2(x)-50 x+25 \log ^4(x)+25 e^6+618}","\frac{4}{7-\left(4 x^2+x-5 \left(\log ^2(x)+e^3+5\right)\right)^2}",1,"-4/(618 + 25*E^6 - 50*x - 199*x^2 + 8*x^3 + 16*x^4 - 10*E^3*(-25 + x + 4*x^2) + 10*(25 + 5*E^3 - x - 4*x^2)*Log[x]^2 + 25*Log[x]^4)","B",1
357,1,17,17,0.000086,"\int \left(-7+4 x-5 e^6 x^4\right) \, dx","Integrate[-7 + 4*x - 5*E^6*x^4,x]","-e^6 x^5+2 x^2-7 x","-e^6 x^5+2 (x-4) x+x+2",1,"-7*x + 2*x^2 - E^6*x^5","A",1
358,1,87,33,0.5054025,"\int \frac{4 e^{e^5} x+2 x^2+\left(-10 x^2-2 x^3-5 x^4-x^5+\left(-2 x^2-x^4\right) \log (3)+e^{2 e^5} \left(-20 x^2-4 x^3-4 x^2 \log (3)\right)+e^{e^5} \left(-20 x^3-4 x^4-4 x^3 \log (3)\right)\right) \log (5+x+\log (3))+\left(10 x^3+2 x^4+2 x^3 \log (3)+e^{2 e^5} \left(40 x+8 x^2+8 x \log (3)\right)+e^{e^5} \left(-20-4 x+40 x^2+8 x^3+\left(-4+8 x^2\right) \log (3)\right)\right) \log (5+x+\log (3)) \log (\log (5+x+\log (3)))+\left(-5 x^2-x^3+e^{2 e^5} (-20-4 x-4 \log (3))-x^2 \log (3)+e^{e^5} \left(-20 x-4 x^2-4 x \log (3)\right)\right) \log (5+x+\log (3)) \log ^2(\log (5+x+\log (3)))}{\left(5 x^4+x^5+x^4 \log (3)+e^{2 e^5} \left(20 x^2+4 x^3+4 x^2 \log (3)\right)+e^{e^5} \left(20 x^3+4 x^4+4 x^3 \log (3)\right)\right) \log (5+x+\log (3))+\left(-10 x^3-2 x^4-2 x^3 \log (3)+e^{2 e^5} \left(-40 x-8 x^2-8 x \log (3)\right)+e^{e^5} \left(-40 x^2-8 x^3-8 x^2 \log (3)\right)\right) \log (5+x+\log (3)) \log (\log (5+x+\log (3)))+\left(5 x^2+x^3+x^2 \log (3)+e^{2 e^5} (20+4 x+4 \log (3))+e^{e^5} \left(20 x+4 x^2+4 x \log (3)\right)\right) \log (5+x+\log (3)) \log ^2(\log (5+x+\log (3)))} \, dx","Integrate[(4*E^E^5*x + 2*x^2 + (-10*x^2 - 2*x^3 - 5*x^4 - x^5 + (-2*x^2 - x^4)*Log[3] + E^(2*E^5)*(-20*x^2 - 4*x^3 - 4*x^2*Log[3]) + E^E^5*(-20*x^3 - 4*x^4 - 4*x^3*Log[3]))*Log[5 + x + Log[3]] + (10*x^3 + 2*x^4 + 2*x^3*Log[3] + E^(2*E^5)*(40*x + 8*x^2 + 8*x*Log[3]) + E^E^5*(-20 - 4*x + 40*x^2 + 8*x^3 + (-4 + 8*x^2)*Log[3]))*Log[5 + x + Log[3]]*Log[Log[5 + x + Log[3]]] + (-5*x^2 - x^3 + E^(2*E^5)*(-20 - 4*x - 4*Log[3]) - x^2*Log[3] + E^E^5*(-20*x - 4*x^2 - 4*x*Log[3]))*Log[5 + x + Log[3]]*Log[Log[5 + x + Log[3]]]^2)/((5*x^4 + x^5 + x^4*Log[3] + E^(2*E^5)*(20*x^2 + 4*x^3 + 4*x^2*Log[3]) + E^E^5*(20*x^3 + 4*x^4 + 4*x^3*Log[3]))*Log[5 + x + Log[3]] + (-10*x^3 - 2*x^4 - 2*x^3*Log[3] + E^(2*E^5)*(-40*x - 8*x^2 - 8*x*Log[3]) + E^E^5*(-40*x^2 - 8*x^3 - 8*x^2*Log[3]))*Log[5 + x + Log[3]]*Log[Log[5 + x + Log[3]]] + (5*x^2 + x^3 + x^2*Log[3] + E^(2*E^5)*(20 + 4*x + 4*Log[3]) + E^E^5*(20*x + 4*x^2 + 4*x*Log[3]))*Log[5 + x + Log[3]]*Log[Log[5 + x + Log[3]]]^2),x]","x \left(\frac{\left(x (2 x+10+\log (9))+e^{e^5} (4 x+20+\log (81))\right) \log (x+5+\log (3))-2 \left(x+2 e^{e^5}\right)}{\left(x+2 e^{e^5}\right)^2 ((x+5+\log (3)) \log (x+5+\log (3))-1) (x-\log (\log (x+5+\log (3))))}-1\right)","-x+\frac{x}{\left(\frac{x}{2}+e^{e^5}\right) (x-\log (\log (x+5+\log (3))))}-1",1,"x*(-1 + (-2*(2*E^E^5 + x) + (x*(10 + 2*x + Log[9]) + E^E^5*(20 + 4*x + Log[81]))*Log[5 + x + Log[3]])/((2*E^E^5 + x)^2*(-1 + (5 + x + Log[3])*Log[5 + x + Log[3]])*(x - Log[Log[5 + x + Log[3]]])))","B",0
359,1,22,22,0.1578103,"\int \frac{2 x^3+\left(e^{-2-2 x} x^4\right)^{\frac{1}{x^2}} \left(4-2 x+x^2-2 \log \left(e^{-2-2 x} x^4\right)\right)}{2 x^2} \, dx","Integrate[(2*x^3 + (E^(-2 - 2*x)*x^4)^x^(-2)*(4 - 2*x + x^2 - 2*Log[E^(-2 - 2*x)*x^4]))/(2*x^2),x]","\frac{1}{2} x \left(\left(e^{-2 (x+1)} x^4\right)^{\frac{1}{x^2}}+x\right)","\frac{1}{2} x \left(\left(e^{-2 x-2} x^4\right)^{\frac{1}{x^2}}+x\right)",1,"(x*(x + (x^4/E^(2*(1 + x)))^x^(-2)))/2","A",1
360,1,48,19,0.0085204,"\int \frac{-21233664-27869184 x-14846976 x^2-3519936 x^3+219996 x^5+57996 x^6+6804 x^7+324 x^8}{e^8 x^5} \, dx","Integrate[(-21233664 - 27869184*x - 14846976*x^2 - 3519936*x^3 + 219996*x^5 + 57996*x^6 + 6804*x^7 + 324*x^8)/(E^8*x^5),x]","\frac{324 \left(\frac{x^4}{4}+\frac{16384}{x^4}+7 x^3+\frac{28672}{x^3}+\frac{179 x^2}{2}+\frac{22912}{x^2}+679 x+\frac{10864}{x}\right)}{e^8}","\frac{81 \left((x+4)^2-x\right)^4}{e^8 x^4}",1,"(324*(16384/x^4 + 28672/x^3 + 22912/x^2 + 10864/x + 679*x + (179*x^2)/2 + 7*x^3 + x^4/4))/E^8","B",1
361,1,46,30,0.2544724,"\int \frac{64 x-144 x^2-1188 x^3+459 x^4+e^{4 x} \left(-128 x+32 x^2+360 x^3-378 x^4+108 x^5\right)+e^{2 x} \left(864 x^2-504 x^3-540 x^4+324 x^5\right)}{-64+144 x-108 x^2+27 x^3} \, dx","Integrate[(64*x - 144*x^2 - 1188*x^3 + 459*x^4 + E^(4*x)*(-128*x + 32*x^2 + 360*x^3 - 378*x^4 + 108*x^5) + E^(2*x)*(864*x^2 - 504*x^3 - 540*x^4 + 324*x^5))/(-64 + 144*x - 108*x^2 + 27*x^3),x]","\frac{18 e^{2 x} x^3}{3 x-4}+\left(e^{4 x}+\frac{17}{2}\right) x^2+24 x+\frac{768 (x-1)}{(4-3 x)^2}","x^2 \left(\frac{9 x}{3 x-4}+e^{2 x}\right)^2-\frac{x^2}{2}",1,"(768*(-1 + x))/(4 - 3*x)^2 + 24*x + (17/2 + E^(4*x))*x^2 + (18*E^(2*x)*x^3)/(-4 + 3*x)","A",1
362,1,48,27,1.1928027,"\int \frac{\exp \left(1-\exp \left(\frac{x+5 e x+e x \log (3+x)}{5 e+e \log (3+x)}\right)+x\right) \left(e (75+25 x)+e (30+10 x) \log (3+x)+e (3+x) \log ^2(3+x)+\exp \left(\frac{x+5 e x+e x \log (3+x)}{5 e+e \log (3+x)}\right) \left(-15+e (-75-25 x)-4 x+(-3+e (-30-10 x)-x) \log (3+x)+e (-3-x) \log ^2(3+x)\right)\right)}{e (150+50 x)+e (60+20 x) \log (3+x)+e (6+2 x) \log ^2(3+x)+\exp \left(1-\exp \left(\frac{x+5 e x+e x \log (3+x)}{5 e+e \log (3+x)}\right)+x\right) \left(e (75+25 x)+e (30+10 x) \log (3+x)+e (3+x) \log ^2(3+x)\right)} \, dx","Integrate[(E^(1 - E^((x + 5*E*x + E*x*Log[3 + x])/(5*E + E*Log[3 + x])) + x)*(E*(75 + 25*x) + E*(30 + 10*x)*Log[3 + x] + E*(3 + x)*Log[3 + x]^2 + E^((x + 5*E*x + E*x*Log[3 + x])/(5*E + E*Log[3 + x]))*(-15 + E*(-75 - 25*x) - 4*x + (-3 + E*(-30 - 10*x) - x)*Log[3 + x] + E*(-3 - x)*Log[3 + x]^2)))/(E*(150 + 50*x) + E*(60 + 20*x)*Log[3 + x] + E*(6 + 2*x)*Log[3 + x]^2 + E^(1 - E^((x + 5*E*x + E*x*Log[3 + x])/(5*E + E*Log[3 + x])) + x)*(E*(75 + 25*x) + E*(30 + 10*x)*Log[3 + x] + E*(3 + x)*Log[3 + x]^2)),x]","\log \left(e^{x+1}+2 e^{e^{x+\frac{x}{e (\log (x+3)+5)}}}\right)-e^{x+\frac{x}{e (\log (x+3)+5)}}","\log \left(e^{x-e^{x+\frac{x}{e (\log (x+3)+5)}}+1}+2\right)",1,"-E^(x + x/(E*(5 + Log[3 + x]))) + Log[2*E^E^(x + x/(E*(5 + Log[3 + x]))) + E^(1 + x)]","A",0
363,1,114,29,0.0905898,"\int \frac{-16-16 x+60 x^2+156 x^3-124 x^4-399 x^5+243 x^6+1050 x^7+912 x^8+333 x^9+45 x^{10}+\left(16+32 x+80 x^2-256 x^3-687 x^4+245 x^5+1650 x^6+1542 x^7+585 x^8+81 x^9\right) \log (3 x)+\left(16 x-72 x^2-276 x^3+2 x^4+600 x^5+630 x^6+252 x^7+36 x^8\right) \log ^2(3 x)}{8 x} \, dx","Integrate[(-16 - 16*x + 60*x^2 + 156*x^3 - 124*x^4 - 399*x^5 + 243*x^6 + 1050*x^7 + 912*x^8 + 333*x^9 + 45*x^10 + (16 + 32*x + 80*x^2 - 256*x^3 - 687*x^4 + 245*x^5 + 1650*x^6 + 1542*x^7 + 585*x^8 + 81*x^9)*Log[3*x] + (16*x - 72*x^2 - 276*x^3 + 2*x^4 + 600*x^5 + 630*x^6 + 252*x^7 + 36*x^8)*Log[3*x]^2)/(8*x),x]","\frac{1}{16} \left(\left(1-3 x^2\right)^2 (x+2)^4 \log ^2(3 x)+x \left(9 x^7+36 x^6+30 x^5-24 x^4-23 x^3+28 x^2+4 x-8\right) (x+2)^2+2 x^2 \left(9 x^7+72 x^6+210 x^5+240 x^4+x^3-172 x^2-24 x+76\right) \log (3 x)-32 \log (x)\right)","\left(\left(3-\frac{1}{x^2}\right) \left(\frac{x^2}{2}+x\right)^2 (x+\log (3 x))+1\right)^2",1,"(x*(2 + x)^2*(-8 + 4*x + 28*x^2 - 23*x^3 - 24*x^4 + 30*x^5 + 36*x^6 + 9*x^7) - 32*Log[x] + 2*x^2*(76 - 24*x - 172*x^2 + x^3 + 240*x^4 + 210*x^5 + 72*x^6 + 9*x^7)*Log[3*x] + (2 + x)^4*(1 - 3*x^2)^2*Log[3*x]^2)/16","B",1
364,1,57,24,0.2098521,"\int \frac{32 e^4 x^3+2 x^4+e^{32-16 x+2 x^2} \left(-16 x^3+4 x^4+e^8 \left(-512-4096 x+1024 x^2\right)+e^4 \left(-32 x-512 x^2+128 x^3\right)\right)+e^{16-8 x+x^2} \left(2 x^3-16 x^4+4 x^5+e^8 \left(-512 x-4096 x^2+1024 x^3\right)+e^4 \left(-512 x^3+128 x^4\right)\right)}{e^8 x^3} \, dx","Integrate[(32*E^4*x^3 + 2*x^4 + E^(32 - 16*x + 2*x^2)*(-16*x^3 + 4*x^4 + E^8*(-512 - 4096*x + 1024*x^2) + E^4*(-32*x - 512*x^2 + 128*x^3)) + E^(16 - 8*x + x^2)*(2*x^3 - 16*x^4 + 4*x^5 + E^8*(-512*x - 4096*x^2 + 1024*x^3) + E^4*(-512*x^3 + 128*x^4)))/(E^8*x^3),x]","\frac{x^4+32 e^4 x^3+2 e^{(x-4)^2} \left(x+16 e^4\right)^2 x+e^{2 (x-4)^2} \left(x+16 e^4\right)^2}{e^8 x^2}","\frac{\left(x+e^{(x-4)^2}\right)^2 \left(\frac{x}{e^4}+16\right)^2}{x^2}",1,"(32*E^4*x^3 + x^4 + E^(2*(-4 + x)^2)*(16*E^4 + x)^2 + 2*E^(-4 + x)^2*x*(16*E^4 + x)^2)/(E^8*x^2)","B",1
365,1,25,23,0.2724875,"\int \frac{-60-5 x+60 x^2}{60 x-49 x^2+6 x^3+\left(-45 x^2+30 x^3\right) \log \left(\left(3 x-2 x^2\right) \log (\log (2))\right)} \, dx","Integrate[(-60 - 5*x + 60*x^2)/(60*x - 49*x^2 + 6*x^3 + (-45*x^2 + 30*x^3)*Log[(3*x - 2*x^2)*Log[Log[2]]]),x]","\log (-3 x-15 x \log ((3-2 x) x \log (\log (2)))+20)-\log (x)","\log \left(-\frac{4}{3 x}+\log ((3-2 x) x \log (\log (2)))+\frac{1}{5}\right)",1,"-Log[x] + Log[20 - 3*x - 15*x*Log[(3 - 2*x)*x*Log[Log[2]]]]","A",1
366,1,16,16,0.0029705,"\int \frac{-15 x^2+2 \log (x)-4 \log ^2(x)}{x^5} \, dx","Integrate[(-15*x^2 + 2*Log[x] - 4*Log[x]^2)/x^5,x]","\frac{\log ^2(x)}{x^4}+\frac{15}{2 x^2}","\frac{\frac{15 x^2}{2}+\log ^2(x)}{x^4}",1,"15/(2*x^2) + Log[x]^2/x^4","A",1
367,1,27,15,0.0268831,"\int \frac{80-40 x+\left(480 e^{25}-40 x\right) \log \left(12 e^{25}-x\right)}{12 e^{25}-x} \, dx","Integrate[(80 - 40*x + (480*E^25 - 40*x)*Log[12*E^25 - x])/(12*E^25 - x),x]","40 \left(x \log \left(12 e^{25}-x\right)-2 \log \left(12 e^{25}-x\right)\right)","40 (x-2) \log \left(12 e^{25}-x\right)",1,"40*(-2*Log[12*E^25 - x] + x*Log[12*E^25 - x])","A",1
368,1,29,29,0.2877357,"\int \frac{-125-15 e^{2 x^2}-e^{3 x^2}+e^{x^2} \left(-75+e^8 \left(4 x^2-4 x^3\right)\right)+\left(-125+e^{3 x^2} (-1+x)+125 x+e^{2 x^2} (-15+15 x)+e^{x^2} (-75+75 x)\right) \log \left(\frac{e^{\frac{e^8}{25+10 e^{x^2}+e^{2 x^2}}} x}{-4+4 x}\right) \log \left(\log \left(\frac{e^{\frac{e^8}{25+10 e^{x^2}+e^{2 x^2}}} x}{-4+4 x}\right)\right)}{\left(-125+e^{3 x^2} (-1+x)+125 x+e^{2 x^2} (-15+15 x)+e^{x^2} (-75+75 x)\right) \log \left(\frac{e^{\frac{e^8}{25+10 e^{x^2}+e^{2 x^2}}} x}{-4+4 x}\right)} \, dx","Integrate[(-125 - 15*E^(2*x^2) - E^(3*x^2) + E^x^2*(-75 + E^8*(4*x^2 - 4*x^3)) + (-125 + E^(3*x^2)*(-1 + x) + 125*x + E^(2*x^2)*(-15 + 15*x) + E^x^2*(-75 + 75*x))*Log[(E^(E^8/(25 + 10*E^x^2 + E^(2*x^2)))*x)/(-4 + 4*x)]*Log[Log[(E^(E^8/(25 + 10*E^x^2 + E^(2*x^2)))*x)/(-4 + 4*x)]])/((-125 + E^(3*x^2)*(-1 + x) + 125*x + E^(2*x^2)*(-15 + 15*x) + E^x^2*(-75 + 75*x))*Log[(E^(E^8/(25 + 10*E^x^2 + E^(2*x^2)))*x)/(-4 + 4*x)]),x]","x \log \left(\log \left(\frac{e^{\frac{e^8}{\left(e^{x^2}+5\right)^2}} x}{4 (x-1)}\right)\right)","x \log \left(\log \left(\frac{e^{\frac{e^8}{\left(e^{x^2}+5\right)^2}} x}{4 (x-1)}\right)\right)",1,"x*Log[Log[(E^(E^8/(5 + E^x^2)^2)*x)/(4*(-1 + x))]]","A",1
369,1,44,36,0.1147367,"\int \frac{\exp \left(-\frac{-50 x+25 x^2}{-56 x+20 x^2+4 x^3+(7+x) \log (5)}\right) \left(3136 x^2-2240 x^3-48 x^4+160 x^5+16 x^6+\left(-784 x+168 x^2+96 x^3+8 x^4\right) \log (5)+\left(49+14 x+x^2\right) \log ^2(5)+\left(400 x^3-400 x^4+100 x^5+\left(350 x-350 x^2-25 x^3\right) \log (5)\right) \log (x)\right)}{3136 x^3-2240 x^4-48 x^5+160 x^6+16 x^7+\left(-784 x^2+168 x^3+96 x^4+8 x^5\right) \log (5)+\left(49 x+14 x^2+x^3\right) \log ^2(5)} \, dx","Integrate[(3136*x^2 - 2240*x^3 - 48*x^4 + 160*x^5 + 16*x^6 + (-784*x + 168*x^2 + 96*x^3 + 8*x^4)*Log[5] + (49 + 14*x + x^2)*Log[5]^2 + (400*x^3 - 400*x^4 + 100*x^5 + (350*x - 350*x^2 - 25*x^3)*Log[5])*Log[x])/(E^((-50*x + 25*x^2)/(-56*x + 20*x^2 + 4*x^3 + (7 + x)*Log[5]))*(3136*x^3 - 2240*x^4 - 48*x^5 + 160*x^6 + 16*x^7 + (-784*x^2 + 168*x^3 + 96*x^4 + 8*x^5)*Log[5] + (49*x + 14*x^2 + x^3)*Log[5]^2)),x]","5^{-\frac{25 (x-9)}{(252+\log (5)) \left(4 x^2-8 x+\log (5)\right)}} e^{-\frac{1575}{(x+7) (252+\log (5))}} \log (x)","\log (x) \exp \left(-\frac{5 x}{4 \left(\frac{x+2}{5}+1\right) \left(x+\frac{\log (5)}{4 (x-2)}\right)}\right)",1,"Log[x]/(5^((25*(-9 + x))/((252 + Log[5])*(-8*x + 4*x^2 + Log[5])))*E^(1575/((7 + x)*(252 + Log[5]))))","A",0
370,1,28,28,0.0057566,"\int \frac{1}{5} \left(-55+6 x+60 x^2+\left(-60+12 x-90 x^2\right) \log (x)\right) \, dx","Integrate[(-55 + 6*x + 60*x^2 + (-60 + 12*x - 90*x^2)*Log[x])/5,x]","6 x^3-6 x^3 \log (x)+\frac{6}{5} x^2 \log (x)+x-12 x \log (x)","x-6 x^2 \left(\left(x-\frac{\frac{x}{5}-2}{x}\right) \log (x)-x\right)",1,"x + 6*x^3 - 12*x*Log[x] + (6*x^2*Log[x])/5 - 6*x^3*Log[x]","A",1
371,1,21,27,0.0148681,"\int \frac{1}{2} e^{-x} \left(e^x (30+e)-30 x+15 x^2\right) \, dx","Integrate[(E^x*(30 + E) - 30*x + 15*x^2)/(2*E^x),x]","\frac{1}{2} \left(-15 e^{-x} x^2+e x+30 x\right)","\frac{1}{2} \left(5 \left(6 x-3 \left(e^{-x} x^2+1\right)\right)+e x\right)",1,"(30*x + E*x - (15*x^2)/E^x)/2","A",1
372,1,19,16,0.0144944,"\int \left(4 e^3+e^{2 e^{2 x}} \left(e^3+4 e^{3+2 x} x\right)\right) \, dx","Integrate[4*E^3 + E^(2*E^(2*x))*(E^3 + 4*E^(3 + 2*x)*x),x]","e^3 \left(e^{2 e^{2 x}} x+4 x\right)","e^3 \left(e^{2 e^{2 x}}+4\right) x",1,"E^3*(4*x + E^(2*E^(2*x))*x)","A",1
373,1,27,34,0.1249132,"\int \frac{\left(1152 e^3+96 x-1152 \log (4)\right) \log \left(-\frac{12}{5+20 x}\right)+(12+48 x) \log ^2\left(-\frac{12}{5+20 x}\right)}{x^2+4 x^3+e^6 (144+576 x)+e^3 \left(24 x+96 x^2\right)+\left(e^3 (-288-1152 x)-24 x-96 x^2\right) \log (4)+(144+576 x) \log ^2(4)} \, dx","Integrate[((1152*E^3 + 96*x - 1152*Log[4])*Log[-12/(5 + 20*x)] + (12 + 48*x)*Log[-12/(5 + 20*x)]^2)/(x^2 + 4*x^3 + E^6*(144 + 576*x) + E^3*(24*x + 96*x^2) + (E^3*(-288 - 1152*x) - 24*x - 96*x^2)*Log[4] + (144 + 576*x)*Log[4]^2),x]","-\frac{12 \log ^2\left(-\frac{12}{20 x+5}\right)}{x+12 e^3-12 \log (4)}","\frac{\log ^2\left(\frac{3}{5 \left(\frac{3}{4}-x\right)-5}\right)}{-\frac{x}{12}-e^3+\log (4)}",1,"(-12*Log[-12/(5 + 20*x)]^2)/(12*E^3 + x - 12*Log[4])","A",1
374,1,29,29,0.4899584,"\int \frac{e^{-x} \left(e^x \left(2 x^2+4 x^3+2 x^4\right)+e^{\frac{2 e^{-x} \left(e^{16}+\log (4)\right)}{x}} \left(e^x x^2+e^{16} \left(2+4 x+2 x^2\right)+\left(2+4 x+2 x^2\right) \log (4)\right)\right)}{2 x^2+4 x^3+2 x^4} \, dx","Integrate[(E^x*(2*x^2 + 4*x^3 + 2*x^4) + E^((2*(E^16 + Log[4]))/(E^x*x))*(E^x*x^2 + E^16*(2 + 4*x + 2*x^2) + (2 + 4*x + 2*x^2)*Log[4]))/(E^x*(2*x^2 + 4*x^3 + 2*x^4)),x]","x-\frac{e^{\frac{2 e^{-x} \left(e^{16}+\log (4)\right)}{x}}}{2 (x+1)}","x-\frac{e^{\frac{2 e^{-x} \left(e^{16}+\log (4)\right)}{x}}}{2 x+2}",1,"x - E^((2*(E^16 + Log[4]))/(E^x*x))/(2*(1 + x))","A",1
375,1,15,17,0.0090643,"\int \frac{-16-60 x-25 x^2-3 x^3}{16 x+8 x^2+x^3} \, dx","Integrate[(-16 - 60*x - 25*x^2 - 3*x^3)/(16*x + 8*x^2 + x^3),x]","-3 x+\frac{4}{x+4}-\log (x)","-\frac{x}{x+4}-3 x-\log (x)-4",1,"-3*x + 4/(4 + x) - Log[x]","A",1
376,1,51,19,0.0328751,"\int \frac{-4 x^2-6 x^3-2 x^4+\left(10 x+16 x^2+6 x^3\right) \log (8)+\left(-6-10 x-4 x^2\right) \log ^2(8)}{x^7} \, dx","Integrate[(-4*x^2 - 6*x^3 - 2*x^4 + (10*x + 16*x^2 + 6*x^3)*Log[8] + (-6 - 10*x - 4*x^2)*Log[8]^2)/x^7,x]","\frac{10 x^4-20 x^3 (\log (8)-1)+5 x^2 (2+\log (8) (\log (64)-8))+4 x \log (8) (\log (32768)-5)+10 \log ^2(8)}{10 x^6}","\frac{\left(\frac{1}{x}+1\right)^2 (x-\log (8))^2}{x^4}",1,"(10*x^4 - 20*x^3*(-1 + Log[8]) + 10*Log[8]^2 + 5*x^2*(2 + Log[8]*(-8 + Log[64])) + 4*x*Log[8]*(-5 + Log[32768]))/(10*x^6)","B",1
377,1,25,25,0.1040504,"\int \frac{-40-40 x+110 x^2+120 x^3-98 x^4-112 x^5+16 x^6+36 x^7+8 x^8+e^{3 e^8} \left(-4-12 x-8 x^2\right)+e^3 \left(4+12 x+8 x^2\right)+e^2 \left(-26-60 x+60 x^3+24 x^4\right)+e \left(56+92 x-88 x^2-180 x^3+12 x^4+84 x^5+24 x^6\right)+e^{2 e^8} \left(-26-60 x+60 x^3+24 x^4+e \left(12+36 x+24 x^2\right)\right)+e^{e^8} \left(-56-92 x+88 x^2+180 x^3-12 x^4-84 x^5-24 x^6+e^2 \left(-12-36 x-24 x^2\right)+e \left(52+120 x-120 x^3-48 x^4\right)\right)+\left(10+20 x-20 x^3-8 x^4+e \left(-4-12 x-8 x^2\right)+e^{e^8} \left(4+12 x+8 x^2\right)\right) \log (1+x)}{1+x} \, dx","Integrate[(-40 - 40*x + 110*x^2 + 120*x^3 - 98*x^4 - 112*x^5 + 16*x^6 + 36*x^7 + 8*x^8 + E^(3*E^8)*(-4 - 12*x - 8*x^2) + E^3*(4 + 12*x + 8*x^2) + E^2*(-26 - 60*x + 60*x^3 + 24*x^4) + E*(56 + 92*x - 88*x^2 - 180*x^3 + 12*x^4 + 84*x^5 + 24*x^6) + E^(2*E^8)*(-26 - 60*x + 60*x^3 + 24*x^4 + E*(12 + 36*x + 24*x^2)) + E^E^8*(-56 - 92*x + 88*x^2 + 180*x^3 - 12*x^4 - 84*x^5 - 24*x^6 + E^2*(-12 - 36*x - 24*x^2) + E*(52 + 120*x - 120*x^3 - 48*x^4)) + (10 + 20*x - 20*x^3 - 8*x^4 + E*(-4 - 12*x - 8*x^2) + E^E^8*(4 + 12*x + 8*x^2))*Log[1 + x])/(1 + x),x]","\left(\left(x^2+x-e^{e^8}+e-2\right)^2-\log (x+1)\right)^2","\left(\log (x+1)-\left(x^2+x-e^{e^8}+e-2\right)^2\right)^2",1,"((-2 + E - E^E^8 + x + x^2)^2 - Log[1 + x])^2","A",1
378,1,19,22,0.0843169,"\int \frac{\left(1-9 \log \left(\frac{3}{x}\right)\right) \log (\log (3))+\log \left(\frac{3}{x}\right) \log (\log (3)) \log \left(\log \left(\frac{3}{x}\right)\right)}{\left(81-72 x+16 x^2\right) \log \left(\frac{3}{x}\right)+(-18+8 x) \log \left(\frac{3}{x}\right) \log \left(\log \left(\frac{3}{x}\right)\right)+\log \left(\frac{3}{x}\right) \log ^2\left(\log \left(\frac{3}{x}\right)\right)} \, dx","Integrate[((1 - 9*Log[3/x])*Log[Log[3]] + Log[3/x]*Log[Log[3]]*Log[Log[3/x]])/((81 - 72*x + 16*x^2)*Log[3/x] + (-18 + 8*x)*Log[3/x]*Log[Log[3/x]] + Log[3/x]*Log[Log[3/x]]^2),x]","\frac{x \log (\log (3))}{4 x+\log \left(\log \left(\frac{3}{x}\right)\right)-9}","\log (\log (3)) \left(\frac{x}{4 x+\log \left(\log \left(\frac{3}{x}\right)\right)-9}+16\right)",1,"(x*Log[Log[3]])/(-9 + 4*x + Log[Log[3/x]])","A",1
379,1,693,31,1.0485619,"\int \frac{-4 x^6+2 x^6 \log (2)+e^{4 x^2} \left(-4 x^2+2 x^2 \log (2)\right)+e^{3 x^2} \left(-16 x^3+8 x^3 \log (2)\right)+\left(-4 x^3-3 x^2 \log (2)\right) \log (4)+e^{2 x^2} \left(-24 x^4+12 x^4 \log (2)+\left(-2 x-4 x^3+\left(-1-4 x^2\right) \log (2)\right) \log (4)\right)+e^{x^2} \left(-16 x^5+8 x^5 \log (2)+\left(-6 x^2-4 x^4+\left(-4 x-4 x^3\right) \log (2)\right) \log (4)\right)}{16 x^6+16 x^7+4 x^8+e^{4 x^2} \left(16 x^2+16 x^3+4 x^4\right)+e^{3 x^2} \left(64 x^3+64 x^4+16 x^5\right)+\left(8 x^3+4 x^4\right) \log (4)+\log ^2(4)+e^{2 x^2} \left(96 x^4+96 x^5+24 x^6+\left(8 x+4 x^2\right) \log (4)\right)+e^{x^2} \left(64 x^5+64 x^6+16 x^7+\left(16 x^2+8 x^3\right) \log (4)\right)} \, dx","Integrate[(-4*x^6 + 2*x^6*Log[2] + E^(4*x^2)*(-4*x^2 + 2*x^2*Log[2]) + E^(3*x^2)*(-16*x^3 + 8*x^3*Log[2]) + (-4*x^3 - 3*x^2*Log[2])*Log[4] + E^(2*x^2)*(-24*x^4 + 12*x^4*Log[2] + (-2*x - 4*x^3 + (-1 - 4*x^2)*Log[2])*Log[4]) + E^x^2*(-16*x^5 + 8*x^5*Log[2] + (-6*x^2 - 4*x^4 + (-4*x - 4*x^3)*Log[2])*Log[4]))/(16*x^6 + 16*x^7 + 4*x^8 + E^(4*x^2)*(16*x^2 + 16*x^3 + 4*x^4) + E^(3*x^2)*(64*x^3 + 64*x^4 + 16*x^5) + (8*x^3 + 4*x^4)*Log[4] + Log[4]^2 + E^(2*x^2)*(96*x^4 + 96*x^5 + 24*x^6 + (8*x + 4*x^2)*Log[4]) + E^x^2*(64*x^5 + 64*x^6 + 16*x^7 + (16*x^2 + 8*x^3)*Log[4])),x]","\frac{-4 x^{13} \left(4 \log ^2(4)-85 \log (4)+23 \log (64)\right)-8 x^{12} \left(12 \log ^2(4)-63 \log (4)+5 \log (64)\right)-4 x^{11} (\log (4)-4) (35 \log (4)+3 \log (64))+16 x^{10} \left(8 \log ^2(4)-\log ^2(64)+\log (65536)\right)-2 x^9 \log (4) \left(376+8 \log ^2(4)+25 \log (64)-\log (4) (233+\log (256))\right)-4 x^8 \log (4) \left(104+16 \log ^2(4)-(105+16 \log (2)) \log (4)+\log (64)\right)+x^7 \left(-54 \log ^3(4)-\log ^2(16) \log (64)+4 \log ^2(4) (36+\log (8192))+192 \log (4)\right)+4 x^6 \log (4) \left(32+9 \log ^2(4)-\log (4) (31+\log (67108864))\right)+x^5 \log ^2(4) \left(-32-4 \log ^2(4)+\log (4) \log (256)+\log (268435456)\right)+4 x^4 \log ^2(4) \left(16-2 \log ^2(4)+\log (4) (9+\log (16))\right)+x^3 \log ^2(4) \left(40-3 \log ^2(4)+\log (4) (14+\log (64))+\log (65536)\right)+18 x^2 \log ^3(4)-4 e^{x^2} x^2 \log (4) \left(8 x^{10} (\log (4)-4)+48 x^9 (\log (4)-4)+88 x^8 (\log (4)-4)+16 x^7 (\log (4)-4)+2 x^6 \left(188+2 \log ^2(4)-55 \log (4)\right)+4 x^5 \left(52+4 \log ^2(4)-29 \log (4)\right)+4 x^4 \left(-24+5 \log ^2(4)-14 \log (4)\right)+4 x^3 \left(-16+3 \log ^2(4)-8 \log (4)\right)+9 x^2 (\log (4)-4) \log (4)+2 x (\log (4)-4) \log (4)+(\log (4)-4) \log (4)\right)-2 e^{2 x^2} x \log (4) \left(8 x^{10} (\log (4)-4)+48 x^9 (\log (4)-4)+88 x^8 (\log (4)-4)+16 x^7 (\log (4)-4)+2 x^6 \left(188+2 \log ^2(4)-55 \log (4)\right)+4 x^5 \left(52+4 \log ^2(4)-29 \log (4)\right)+4 x^4 \left(-24+5 \log ^2(4)-14 \log (4)\right)+4 x^3 \left(-16+3 \log ^2(4)-8 \log (4)\right)+9 x^2 (\log (4)-4) \log (4)+2 x (\log (4)-4) \log (4)+(\log (4)-4) \log (4)\right)+4 x \log ^3(4)+2 \log ^3(4)}{4 \log (4) \left(2 x^4+4 x^3+4 e^{x^2} (x+2) x^2+2 e^{2 x^2} (x+2) x+\log (4)\right) \left(8 x^{10}+48 x^9+88 x^8+16 x^7+x^6 (\log (256)-94)+4 x^5 (\log (256)-13)+4 x^4 (6+5 \log (4))+4 x^3 (4+\log (64))+9 x^2 \log (4)+x \log (16)+\log (4)\right)}","\frac{-x-\log (2)}{\frac{\log (4)}{\left(e^{x^2}+x\right)^2 x}+2 x+4}",1,"(2*Log[4]^3 + 4*x*Log[4]^3 + 18*x^2*Log[4]^3 - 2*E^(2*x^2)*x*Log[4]*(16*x^7*(-4 + Log[4]) + 88*x^8*(-4 + Log[4]) + 48*x^9*(-4 + Log[4]) + 8*x^10*(-4 + Log[4]) + (-4 + Log[4])*Log[4] + 2*x*(-4 + Log[4])*Log[4] + 9*x^2*(-4 + Log[4])*Log[4] + 2*x^6*(188 - 55*Log[4] + 2*Log[4]^2) + 4*x^3*(-16 - 8*Log[4] + 3*Log[4]^2) + 4*x^5*(52 - 29*Log[4] + 4*Log[4]^2) + 4*x^4*(-24 - 14*Log[4] + 5*Log[4]^2)) - 4*E^x^2*x^2*Log[4]*(16*x^7*(-4 + Log[4]) + 88*x^8*(-4 + Log[4]) + 48*x^9*(-4 + Log[4]) + 8*x^10*(-4 + Log[4]) + (-4 + Log[4])*Log[4] + 2*x*(-4 + Log[4])*Log[4] + 9*x^2*(-4 + Log[4])*Log[4] + 2*x^6*(188 - 55*Log[4] + 2*Log[4]^2) + 4*x^3*(-16 - 8*Log[4] + 3*Log[4]^2) + 4*x^5*(52 - 29*Log[4] + 4*Log[4]^2) + 4*x^4*(-24 - 14*Log[4] + 5*Log[4]^2)) + 4*x^4*Log[4]^2*(16 - 2*Log[4]^2 + Log[4]*(9 + Log[16])) - 4*x^8*Log[4]*(104 - (105 + 16*Log[2])*Log[4] + 16*Log[4]^2 + Log[64]) - 4*x^11*(-4 + Log[4])*(35*Log[4] + 3*Log[64]) - 8*x^12*(-63*Log[4] + 12*Log[4]^2 + 5*Log[64]) - 4*x^13*(-85*Log[4] + 4*Log[4]^2 + 23*Log[64]) - 2*x^9*Log[4]*(376 + 8*Log[4]^2 + 25*Log[64] - Log[4]*(233 + Log[256])) + x^7*(192*Log[4] - 54*Log[4]^3 - Log[16]^2*Log[64] + 4*Log[4]^2*(36 + Log[8192])) + 16*x^10*(8*Log[4]^2 - Log[64]^2 + Log[65536]) + x^3*Log[4]^2*(40 - 3*Log[4]^2 + Log[4]*(14 + Log[64]) + Log[65536]) + 4*x^6*Log[4]*(32 + 9*Log[4]^2 - Log[4]*(31 + Log[67108864])) + x^5*Log[4]^2*(-32 - 4*Log[4]^2 + Log[4]*Log[256] + Log[268435456]))/(4*Log[4]*(4*x^3 + 2*x^4 + 2*E^(2*x^2)*x*(2 + x) + 4*E^x^2*x^2*(2 + x) + Log[4])*(16*x^7 + 88*x^8 + 48*x^9 + 8*x^10 + Log[4] + 9*x^2*Log[4] + 4*x^4*(6 + 5*Log[4]) + x*Log[16] + 4*x^3*(4 + Log[64]) + x^6*(-94 + Log[256]) + 4*x^5*(-13 + Log[256])))","B",0
380,1,36,24,0.3798509,"\int \frac{-2-5 x+2 x^2+e^{e^x} \left(1+2 x-2 e^x x\right)+\left(6+e^{e^x} \left(-2+2 e^x\right)-2 x\right) \log \left(2-e^{e^x}-x\right)}{-2+e^{e^x}+x} \, dx","Integrate[(-2 - 5*x + 2*x^2 + E^E^x*(1 + 2*x - 2*E^x*x) + (6 + E^E^x*(-2 + 2*E^x) - 2*x)*Log[2 - E^E^x - x])/(-2 + E^E^x + x),x]","x^2+x+\log ^2\left(-x-e^{e^x}+2\right)-2 x \log \left(-x-e^{e^x}+2\right)","x+\left(\log \left(-x-e^{e^x}+2\right)-x\right)^2-\frac{1}{3}",1,"x + x^2 - 2*x*Log[2 - E^E^x - x] + Log[2 - E^E^x - x]^2","A",1
381,1,22,22,0.0388615,"\int \frac{1}{2} e^{-2 x} \left(-e^{e^{-2 x}}+e^{2 x} \left(36 x-6 x^2\right)\right) \, dx","Integrate[(-E^E^(-2*x) + E^(2*x)*(36*x - 6*x^2))/(2*E^(2*x)),x]","-x^3+9 x^2+\frac{1}{4} e^{e^{-2 x}}","(9-x) x^2+\frac{1}{4} e^{e^{-2 x}}-2",1,"E^E^(-2*x)/4 + 9*x^2 - x^3","A",1
382,1,28,23,0.3229719,"\int \frac{-x+\exp \left(192 x-48 x^3+3 x^5+\left(128-32 x^2+2 x^4\right) \log (x)\right) \left(128+192 x-32 x^2-144 x^3+2 x^4+15 x^5+\left(-64 x^2+8 x^4\right) \log (x)\right)}{x} \, dx","Integrate[(-x + E^(192*x - 48*x^3 + 3*x^5 + (128 - 32*x^2 + 2*x^4)*Log[x])*(128 + 192*x - 32*x^2 - 144*x^3 + 2*x^4 + 15*x^5 + (-64*x^2 + 8*x^4)*Log[x]))/x,x]","e^{3 x \left(x^2-8\right)^2} x^{2 \left(x^2-8\right)^2}-x","e^{2 \left(x^2-8\right)^2 \left(\frac{3 x}{2}+\log (x)\right)}-x",1,"-x + E^(3*x*(-8 + x^2)^2)*x^(2*(-8 + x^2)^2)","A",1
383,1,21,22,2.1526304,"\int \frac{\exp \left(e^{\frac{-6-e^5+7 x}{16-16 x+4 x^2}}+\frac{-6-e^5+7 x}{16-16 x+4 x^2}\right) \left(-2+2 e^5-7 x\right)}{-32+48 x-24 x^2+4 x^3} \, dx","Integrate[(E^(E^((-6 - E^5 + 7*x)/(16 - 16*x + 4*x^2)) + (-6 - E^5 + 7*x)/(16 - 16*x + 4*x^2))*(-2 + 2*E^5 - 7*x))/(-32 + 48*x - 24*x^2 + 4*x^3),x]","e^{e^{-\frac{-7 x+e^5+6}{4 (x-2)^2}}}","e^{e^{\frac{7 x-e^5-6}{(2 x-4)^2}}}",1,"E^E^(-1/4*(6 + E^5 - 7*x)/(-2 + x)^2)","A",1
384,1,3,7,0.0000663,"\int 3 x^2 \, dx","Integrate[3*x^2,x]","x^3","x^3+e^5",1,"x^3","A",1
385,1,27,27,0.1317052,"\int \frac{8 x+25600 \log \left(\frac{1}{x}\right)+2560 \log ^2\left(\frac{1}{x}\right)+\left(-5120 \log \left(\frac{1}{x}\right)-256 \log ^2\left(\frac{1}{x}\right)\right) \log (x)+256 \log \left(\frac{1}{x}\right) \log ^2(x)+\left(-40+8 x-12800 \log ^2\left(\frac{1}{x}\right)+2560 \log ^2\left(\frac{1}{x}\right) \log (x)-128 \log ^2\left(\frac{1}{x}\right) \log ^2(x)\right) \log \left(5-x+1600 \log ^2\left(\frac{1}{x}\right)-320 \log ^2\left(\frac{1}{x}\right) \log (x)+16 \log ^2\left(\frac{1}{x}\right) \log ^2(x)\right)}{\left(5 x^3-x^4+1600 x^3 \log ^2\left(\frac{1}{x}\right)-320 x^3 \log ^2\left(\frac{1}{x}\right) \log (x)+16 x^3 \log ^2\left(\frac{1}{x}\right) \log ^2(x)\right) \log ^3\left(5-x+1600 \log ^2\left(\frac{1}{x}\right)-320 \log ^2\left(\frac{1}{x}\right) \log (x)+16 \log ^2\left(\frac{1}{x}\right) \log ^2(x)\right)} \, dx","Integrate[(8*x + 25600*Log[x^(-1)] + 2560*Log[x^(-1)]^2 + (-5120*Log[x^(-1)] - 256*Log[x^(-1)]^2)*Log[x] + 256*Log[x^(-1)]*Log[x]^2 + (-40 + 8*x - 12800*Log[x^(-1)]^2 + 2560*Log[x^(-1)]^2*Log[x] - 128*Log[x^(-1)]^2*Log[x]^2)*Log[5 - x + 1600*Log[x^(-1)]^2 - 320*Log[x^(-1)]^2*Log[x] + 16*Log[x^(-1)]^2*Log[x]^2])/((5*x^3 - x^4 + 1600*x^3*Log[x^(-1)]^2 - 320*x^3*Log[x^(-1)]^2*Log[x] + 16*x^3*Log[x^(-1)]^2*Log[x]^2)*Log[5 - x + 1600*Log[x^(-1)]^2 - 320*Log[x^(-1)]^2*Log[x] + 16*Log[x^(-1)]^2*Log[x]^2]^3),x]","\frac{4}{x^2 \log ^2\left(-x+16 \log ^2\left(\frac{1}{x}\right) (\log (x)-10)^2+5\right)}","\frac{4}{x^2 \log ^2\left(-x+16 \log ^2\left(\frac{1}{x}\right) (\log (x)-10)^2+5\right)}",1,"4/(x^2*Log[5 - x + 16*Log[x^(-1)]^2*(-10 + Log[x])^2]^2)","A",1
386,1,17,17,0.4126313,"\int \frac{e^{\frac{x}{2 e^x+x}} \left(-4 e^{2 x}-x^2+e^x \left(-2 x-2 x^2\right)\right)}{4 e^{2 x} x^2+4 e^x x^3+x^4} \, dx","Integrate[(E^(x/(2*E^x + x))*(-4*E^(2*x) - x^2 + E^x*(-2*x - 2*x^2)))/(4*E^(2*x)*x^2 + 4*E^x*x^3 + x^4),x]","\frac{e^{\frac{x}{x+2 e^x}}}{x}","\frac{e^{\frac{x}{x+2 e^x}}}{x}",1,"E^(x/(2*E^x + x))/x","A",1
387,1,26,23,0.1945385,"\int \frac{e^{-2 x} \left(8+23 x-24 x^2-10 x^3+\left(2+4 x-5 x^2-2 x^3\right) \log (3 x)\right)}{5 x^2} \, dx","Integrate[(8 + 23*x - 24*x^2 - 10*x^3 + (2 + 4*x - 5*x^2 - 2*x^3)*Log[3*x])/(5*E^(2*x)*x^2),x]","\frac{e^{-2 x} \left(x^2+3 x-2\right) (\log (3 x)+5)}{5 x}","\frac{1}{5} e^{-2 x} \left(x-\frac{2}{x}+3\right) (\log (3 x)+5)",1,"((-2 + 3*x + x^2)*(5 + Log[3*x]))/(5*E^(2*x)*x)","A",1
388,1,21,23,0.4816584,"\int \frac{\left(18400 x+160 x^2+800 x^3\right) \log \left(x^4\right)+\left(4600 x+20 x^2\right) \log ^2\left(x^4\right)}{13225+230 x+1151 x^2+10 x^3+25 x^4} \, dx","Integrate[((18400*x + 160*x^2 + 800*x^3)*Log[x^4] + (4600*x + 20*x^2)*Log[x^4]^2)/(13225 + 230*x + 1151*x^2 + 10*x^3 + 25*x^4),x]","\frac{20 x^2 \log ^2\left(x^4\right)}{5 x^2+x+115}","\frac{4 x^2 \log ^2\left(x^4\right)}{x^2+\frac{x}{5}+23}",1,"(20*x^2*Log[x^4]^2)/(115 + x + 5*x^2)","A",1
389,1,13,19,0.0015039,"\int \frac{10+e (-1+2 x)}{e} \, dx","Integrate[(10 + E*(-1 + 2*x))/E,x]","x^2+\frac{10 x}{e}-x","\left(x+\frac{5}{e}\right)^2-x+\frac{5}{e^3}-10",1,"-x + (10*x)/E + x^2","A",1
390,1,17,24,0.0022534,"\int \frac{-1+x+e^5 \left(-4+e^5\right) x}{x} \, dx","Integrate[(-1 + x + E^5*(-4 + E^5)*x)/x,x]","e^{10} x-4 e^5 x+x-\log (x)","e^5 \left(e^5-4\right) x+x-\log \left(\frac{2 x}{4+\log (2)}\right)",1,"x - 4*E^5*x + E^10*x - Log[x]","A",1
391,1,20,26,0.0673703,"\int \frac{7+2 x^2+e^{7 x+7 x \log (x)} \left(14 x^2+7 x^2 \log (x)\right)}{x^2} \, dx","Integrate[(7 + 2*x^2 + E^(7*x + 7*x*Log[x])*(14*x^2 + 7*x^2*Log[x]))/x^2,x]","e^{7 x} x^{7 x}+2 x-\frac{7}{x}","\frac{2 (x-4) (x+1)+1}{x}+e^{7 (x+x \log (x))}+3",1,"-7/x + 2*x + E^(7*x)*x^(7*x)","A",1
392,1,10,12,0.0290633,"\int \frac{4-\log (x)}{-3 x+x \log (x)} \, dx","Integrate[(4 - Log[x])/(-3*x + x*Log[x]),x]","\log (\log (x)-3)-\log (x)","\log \left(\frac{16 (3-\log (x))}{x}\right)",1,"-Log[x] + Log[-3 + Log[x]]","A",1
393,1,18,18,0.0035834,"\int \frac{4}{4+e^x} \, dx","Integrate[4/(4 + E^x),x]","4 \left(\frac{x}{4}-\frac{1}{4} \log \left(e^x+4\right)\right)","-\log \left(4 e^{-x}+1\right)-\frac{5}{256}+\log (3)",1,"4*(x/4 - Log[4 + E^x]/4)","A",1
394,1,25,23,0.1111682,"\int \frac{-675+810 x^2+729 x^4+e^{18+2 x^2} \left(-75+300 x^2\right)+e^{9+x^2} \left(450-1170 x^2-540 x^4\right)}{25 x^2} \, dx","Integrate[(-675 + 810*x^2 + 729*x^4 + E^(18 + 2*x^2)*(-75 + 300*x^2) + E^(9 + x^2)*(450 - 1170*x^2 - 540*x^4))/(25*x^2),x]","\frac{3 \left(9 x^2-5 e^{x^2+9}+15\right)^2}{25 x}","\frac{3 \left(-\frac{9 x^2}{5}+e^{x^2+9}-3\right)^2}{x}",1,"(3*(15 - 5*E^(9 + x^2) + 9*x^2)^2)/(25*x)","A",1
395,1,26,26,0.2150424,"\int \frac{\exp \left(\frac{81+25 x^2+25 x^2 \log \left(1-2 x+x^2\right)-25 x^2 \log \left(\log \left(x^2\right)\right)}{25 x^2}\right) \left(50 x^2-50 x^3+\left(162-162 x+25 x^2+25 x^3\right) \log \left(x^2\right)\right)}{\left(-25 x^4+25 x^5\right) \log \left(x^2\right)} \, dx","Integrate[(E^((81 + 25*x^2 + 25*x^2*Log[1 - 2*x + x^2] - 25*x^2*Log[Log[x^2]])/(25*x^2))*(50*x^2 - 50*x^3 + (162 - 162*x + 25*x^2 + 25*x^3)*Log[x^2]))/((-25*x^4 + 25*x^5)*Log[x^2]),x]","\frac{e^{\frac{81}{25 x^2}+1} (x-1)^2}{x \log \left(x^2\right)}","\frac{e^{\frac{81}{25 x^2}+1} (x-1)^2}{x \log \left(x^2\right)}",1,"(E^(1 + 81/(25*x^2))*(-1 + x)^2)/(x*Log[x^2])","A",1
396,1,13,16,0.0035168,"\int \frac{x^2+2 \log (3 x)-2 \log ^2(3 x)}{x^3} \, dx","Integrate[(x^2 + 2*Log[3*x] - 2*Log[3*x]^2)/x^3,x]","\frac{\log ^2(3 x)}{x^2}+\log (x)","\log \left(5 x e^{\frac{\log ^2(3 x)}{x^2}}\right)",1,"Log[x] + Log[3*x]^2/x^2","A",1
397,1,427,33,0.8006459,"\int \frac{\left(100-200 x+40 x^3-80 x^4+40 x^5\right) \log ^2(4)}{4 x^2-8 x^3+4 x^4+\left(-40 x+60 x^2-40 x^3+28 x^4-16 x^5+8 x^6\right) \log (4)+\left(100-100 x+125 x^2-90 x^3+85 x^4-40 x^5+24 x^6-8 x^7+4 x^8\right) \log ^2(4)} \, dx","Integrate[((100 - 200*x + 40*x^3 - 80*x^4 + 40*x^5)*Log[4]^2)/(4*x^2 - 8*x^3 + 4*x^4 + (-40*x + 60*x^2 - 40*x^3 + 28*x^4 - 16*x^5 + 8*x^6)*Log[4] + (100 - 100*x + 125*x^2 - 90*x^3 + 85*x^4 - 40*x^5 + 24*x^6 - 8*x^7 + 4*x^8)*Log[4]^2),x]","\frac{20 \log ^2(4) \left(2 x^2 \left(39900 \log ^5(4)-175 \log ^4(4) (587 \log (16)-92)+16 \left(-4+10 \log ^2(16)-13 \log (16)\right)+25 \log ^3(4) \left(144+2095 \log ^2(16)-1588 \log (16)\right)-4 \log (4) \left(-192+600 \log ^3(16)+425 \log ^2(16)-812 \log (16)\right)+20 \log ^2(4) \left(256+1300 \log ^3(16)-495 \log ^2(16)+542 \log (16)\right)\right)-4 x \left(20475 \log ^5(4)-50 \log ^4(4) (1495 \log (16)-81)+16 \left(-2+15 \log ^2(16)-6 \log (16)\right)-8 \log (4) \left(-46+275 \log ^2(16)-145 \log (16)\right)+50 \log ^3(4) \left(36+955 \log ^2(16)+17 \log (16)\right)+4 \log ^2(4) \left(712+2000 \log ^3(16)-4175 \log ^2(16)+2030 \log (16)\right)\right)+5 \left(35700 \log ^5(4)-40 \log ^4(4) (99+2155 \log (16))+\log ^2(4) \left(1760-7150 \log ^2(16)+2800 \log (16)\right)-4 \log (4) \left(32+795 \log ^2(16)+328 \log (16)\right)+5 \log ^3(4) \left(1424+6835 \log ^2(16)+3256 \log (16)\right)+8 \log (16) (8+27 \log (16))\right)\right)}{\left(28700 \log ^6(4)-4000 \log ^5(4) (1+48 \log (16))-8 \log ^2(4) \left(8+2375 \log ^2(16)+1320 \log (16)\right)+5 \log ^4(4) \left(672+69775 \log ^2(16)-8280 \log (16)\right)-8 \log ^3(4) \left(-112+32000 \log ^3(16)-17975 \log ^2(16)+80 \log (16)\right)+16 \log (16) (8+27 \log (16))-96 \log (4) \log (16) (16+75 \log (16))\right) \left(x^4 \log (16)-2 x^3 \log (4)+x^2 (2+5 \log (4))-x (2+5 \log (4))+10 \log (4)\right)}","\frac{2}{\frac{2}{5} \left(-x^2+\frac{5}{x-x^2}-\frac{1}{\log (4)}\right)-1}",1,"(20*Log[4]^2*(5*(35700*Log[4]^5 + 8*Log[16]*(8 + 27*Log[16]) - 40*Log[4]^4*(99 + 2155*Log[16]) + Log[4]^2*(1760 + 2800*Log[16] - 7150*Log[16]^2) - 4*Log[4]*(32 + 328*Log[16] + 795*Log[16]^2) + 5*Log[4]^3*(1424 + 3256*Log[16] + 6835*Log[16]^2)) + 2*x^2*(39900*Log[4]^5 - 175*Log[4]^4*(-92 + 587*Log[16]) + 16*(-4 - 13*Log[16] + 10*Log[16]^2) + 25*Log[4]^3*(144 - 1588*Log[16] + 2095*Log[16]^2) - 4*Log[4]*(-192 - 812*Log[16] + 425*Log[16]^2 + 600*Log[16]^3) + 20*Log[4]^2*(256 + 542*Log[16] - 495*Log[16]^2 + 1300*Log[16]^3)) - 4*x*(20475*Log[4]^5 - 50*Log[4]^4*(-81 + 1495*Log[16]) + 16*(-2 - 6*Log[16] + 15*Log[16]^2) - 8*Log[4]*(-46 - 145*Log[16] + 275*Log[16]^2) + 50*Log[4]^3*(36 + 17*Log[16] + 955*Log[16]^2) + 4*Log[4]^2*(712 + 2030*Log[16] - 4175*Log[16]^2 + 2000*Log[16]^3))))/((10*Log[4] - 2*x^3*Log[4] - x*(2 + 5*Log[4]) + x^2*(2 + 5*Log[4]) + x^4*Log[16])*(28700*Log[4]^6 + 16*Log[16]*(8 + 27*Log[16]) - 4000*Log[4]^5*(1 + 48*Log[16]) - 96*Log[4]*Log[16]*(16 + 75*Log[16]) - 8*Log[4]^2*(8 + 1320*Log[16] + 2375*Log[16]^2) + 5*Log[4]^4*(672 - 8280*Log[16] + 69775*Log[16]^2) - 8*Log[4]^3*(-112 + 80*Log[16] - 17975*Log[16]^2 + 32000*Log[16]^3)))","B",0
398,1,31,31,0.1856246,"\int \frac{-50 e^{e^{2 x}} x^2+10 e^{2 x} x \log (4)+(5+25 x) \log (4)+\left(-60 e^{e^{2 x}} x^3+30 x^2 \log (4)+\left(12 e^{e^{2 x}} x^2-6 x \log (4)\right) \log \left(\frac{e^{-e^{2 x}} \left(2 e^{e^{2 x}} x-\log (4)\right)}{x}\right)\right) \log \left(-5 x+\log \left(\frac{e^{-e^{2 x}} \left(2 e^{e^{2 x}} x-\log (4)\right)}{x}\right)\right)}{\left(-10 e^{e^{2 x}} x^3+5 x^2 \log (4)+\left(2 e^{e^{2 x}} x^2-x \log (4)\right) \log \left(\frac{e^{-e^{2 x}} \left(2 e^{e^{2 x}} x-\log (4)\right)}{x}\right)\right) \log \left(-5 x+\log \left(\frac{e^{-e^{2 x}} \left(2 e^{e^{2 x}} x-\log (4)\right)}{x}\right)\right)} \, dx","Integrate[(-50*E^E^(2*x)*x^2 + 10*E^(2*x)*x*Log[4] + (5 + 25*x)*Log[4] + (-60*E^E^(2*x)*x^3 + 30*x^2*Log[4] + (12*E^E^(2*x)*x^2 - 6*x*Log[4])*Log[(2*E^E^(2*x)*x - Log[4])/(E^E^(2*x)*x)])*Log[-5*x + Log[(2*E^E^(2*x)*x - Log[4])/(E^E^(2*x)*x)]])/((-10*E^E^(2*x)*x^3 + 5*x^2*Log[4] + (2*E^E^(2*x)*x^2 - x*Log[4])*Log[(2*E^E^(2*x)*x - Log[4])/(E^E^(2*x)*x)])*Log[-5*x + Log[(2*E^E^(2*x)*x - Log[4])/(E^E^(2*x)*x)]]),x]","6 x+5 \log \left(\log \left(\log \left(2-\frac{e^{-e^{2 x}} \log (4)}{x}\right)-5 x\right)\right)","x+5 \left(x+\log \left(\log \left(\log \left(2-\frac{e^{-e^{2 x}} \log (4)}{x}\right)-5 x\right)\right)\right)",1,"6*x + 5*Log[Log[-5*x + Log[2 - Log[4]/(E^E^(2*x)*x)]]]","A",1
399,1,11,11,0.0032963,"\int \left(-1+5000 e^{625 x^8} x^7\right) \, dx","Integrate[-1 + 5000*E^(625*x^8)*x^7,x]","e^{625 x^8}-x","e^{625 x^8}-x",1,"E^(625*x^8) - x","A",1
400,1,16,26,0.0106522,"\int \frac{1}{3} \left(-60 x+e^{3+x} (5+5 x)\right) \, dx","Integrate[(-60*x + E^(3 + x)*(5 + 5*x))/3,x]","\frac{5}{3} e^{x+3} x-10 x^2","5 x \left(-\frac{x^2-2}{x}-x+\frac{e^{x+3}}{3}\right)",1,"(5*E^(3 + x)*x)/3 - 10*x^2","A",1
401,1,20,20,0.005642,"\int \frac{1}{625} \left(5625+33750 x+6 e^{2 x^3} x^2\right) \, dx","Integrate[(5625 + 33750*x + 6*E^(2*x^3)*x^2)/625,x]","\frac{e^{2 x^3}}{625}+27 x^2+9 x","\frac{e^{2 x^3}}{625}+27 x^2+9 x",1,"E^(2*x^3)/625 + 9*x + 27*x^2","A",1
402,1,20,18,0.0591698,"\int \frac{e^{-\frac{2 (-5+3 x)}{x}} \left(-50+5 x+\left(-100 x+20 x^2\right) \log (3)\right)}{x} \, dx","Integrate[(-50 + 5*x + (-100*x + 20*x^2)*Log[3])/(E^((2*(-5 + 3*x))/x)*x),x]","\frac{5}{2} e^{\frac{10}{x}-6} x (x \log (81)+2)","e^{\frac{10}{x}-6} x (10 x \log (3)+5)",1,"(5*E^(-6 + 10/x)*x*(2 + x*Log[81]))/2","A",1
403,1,15,17,0.0485065,"\int \left(-4-4 e^{4+e^{4-x}-x}\right) \, dx","Integrate[-4 - 4*E^(4 + E^(4 - x) - x),x]","4 e^{e^{4-x}}-4 x","4 \left(e^{e^{4-x}}-5\right)-4 x",1,"4*E^E^(4 - x) - 4*x","A",1
404,1,72,27,0.0257296,"\int \frac{1}{16} \left(1383120-1839264 x+458643 x^2+\left(790272-1052352 x+262752 x^2\right) \log (5)+\left(169344-225696 x+56400 x^2\right) \log ^2(5)+\left(16128-21504 x+5376 x^2\right) \log ^3(5)+\left(576-768 x+192 x^2\right) \log ^4(5)\right) \, dx","Integrate[(1383120 - 1839264*x + 458643*x^2 + (790272 - 1052352*x + 262752*x^2)*Log[5] + (169344 - 225696*x + 56400*x^2)*Log[5]^2 + (16128 - 21504*x + 5376*x^2)*Log[5]^3 + (576 - 768*x + 192*x^2)*Log[5]^4)/16,x]","\frac{1}{16} x^3 \left(391+8 \log ^2(5)+112 \log (5)\right)^2-3 x^2 (7+\log (5))^2 \left(391+8 \log ^2(5)+112 \log (5)\right)+9 x \left(9605+4 \log ^4(5)+112 \log ^3(5)+1176 \log ^2(5)+5488 \log (5)\right)","x \left(\left(\frac{x}{4}+2 (3-x) (7+\log (5))^2\right)^2+9\right)+16",1,"-3*x^2*(7 + Log[5])^2*(391 + 112*Log[5] + 8*Log[5]^2) + (x^3*(391 + 112*Log[5] + 8*Log[5]^2)^2)/16 + 9*x*(9605 + 5488*Log[5] + 1176*Log[5]^2 + 112*Log[5]^3 + 4*Log[5]^4)","B",1
405,1,14,17,0.0061864,"\int \frac{75 x^2+5 x^4}{25+10 x^2+x^4} \, dx","Integrate[(75*x^2 + 5*x^4)/(25 + 10*x^2 + x^4),x]","5 \left(x-\frac{5 x}{x^2+5}\right)","\frac{x^3}{\frac{x^2}{5}+1}+2",1,"5*(x - (5*x)/(5 + x^2))","A",1
406,0,0,24,0.8213575,"\int \frac{-3+x-4 x \log (x)+(6-x) \log (x) \log \left(\frac{5 \log (x)}{e^3}\right)}{\left(4 x^2-x^3\right) \log (x)+\left(-3 x+x^2\right) \log (x) \log \left(\frac{5 \log (x)}{e^3}\right)} \, dx","Integrate[(-3 + x - 4*x*Log[x] + (6 - x)*Log[x]*Log[(5*Log[x])/E^3])/((4*x^2 - x^3)*Log[x] + (-3*x + x^2)*Log[x]*Log[(5*Log[x])/E^3]),x]","\int \frac{-3+x-4 x \log (x)+(6-x) \log (x) \log \left(\frac{5 \log (x)}{e^3}\right)}{\left(4 x^2-x^3\right) \log (x)+\left(-3 x+x^2\right) \log (x) \log \left(\frac{5 \log (x)}{e^3}\right)} \, dx","\log \left(\frac{x-(x-3) \left(x-\log \left(\frac{5 \log (x)}{e^3}\right)\right)}{x^2}\right)",1,"Integrate[(-3 + x - 4*x*Log[x] + (6 - x)*Log[x]*Log[(5*Log[x])/E^3])/((4*x^2 - x^3)*Log[x] + (-3*x + x^2)*Log[x]*Log[(5*Log[x])/E^3]), x]","F",-1
407,1,13,14,0.017346,"\int \frac{2+e^x (-2-2 x)}{16+8 x+x^2+e^{2 x} x^2+e^x \left(-8 x-2 x^2\right)} \, dx","Integrate[(2 + E^x*(-2 - 2*x))/(16 + 8*x + x^2 + E^(2*x)*x^2 + E^x*(-8*x - 2*x^2)),x]","\frac{2}{\left(e^x-1\right) x-4}","\frac{2}{e^x x-x-4}",1,"2/(-4 + (-1 + E^x)*x)","A",1
408,1,16,18,0.022639,"\int \frac{-2-20 x-20 x \log (x)}{6480 x+3600 x^2+500 x^3+\left(6480 x+3600 x^2+500 x^3\right) \log (x)+\left(360 x+100 x^2+\left(360 x+100 x^2\right) \log (x)\right) \log (1+\log (x))+(5 x+5 x \log (x)) \log ^2(1+\log (x))} \, dx","Integrate[(-2 - 20*x - 20*x*Log[x])/(6480*x + 3600*x^2 + 500*x^3 + (6480*x + 3600*x^2 + 500*x^3)*Log[x] + (360*x + 100*x^2 + (360*x + 100*x^2)*Log[x])*Log[1 + Log[x]] + (5*x + 5*x*Log[x])*Log[1 + Log[x]]^2),x]","\frac{2}{5 (10 x+\log (\log (x)+1)+36)}","\frac{2}{5 (10 (x+4)+\log (\log (x)+1)-4)}",1,"2/(5*(36 + 10*x + Log[1 + Log[x]]))","A",1
409,1,11,16,0.0049257,"\int e^{162+80 x} \left(400+e^{-162-80 x}\right) \, dx","Integrate[E^(162 + 80*x)*(400 + E^(-162 - 80*x)),x]","x+5 e^{80 x+162}","x+5 e^{81 (x+2)-x}+2",1,"5*E^(162 + 80*x) + x","A",1
410,1,36,35,0.0298662,"\int \frac{-16-268 x-781 x^2-728 x^3-260 x^4+e^2 \left(24 x+26 x^2-8 x^3\right)}{-16 x-188 x^2-656 x^3-592 x^4-64 x^5+64 x^6} \, dx","Integrate[(-16 - 268*x - 781*x^2 - 728*x^3 - 260*x^4 + E^2*(24*x + 26*x^2 - 8*x^3))/(-16*x - 188*x^2 - 656*x^3 - 592*x^4 - 64*x^5 + 64*x^6),x]","\frac{1}{4} \left(\frac{x+e^2-3}{4 x^2+6 x+1}-4 \log (4-x)+4 \log (x)\right)","\log \left(\frac{4 x}{4-x}\right)-\frac{-x-e^2+3}{(4 x+3)^2-5}",1,"((-3 + E^2 + x)/(1 + 6*x + 4*x^2) - 4*Log[4 - x] + 4*Log[x])/4","A",1
411,1,34,32,0.2142614,"\int \frac{-x-x^2+4 x^3+e^4 (-2+2 x)+\left(2-4 x+e^4 \left(-2 x+2 x^2\right)\right) \log (x)+e^8 \left(-x+x^2\right) \log ^2(x)+\left(2-2 x-4 x^2+2 x^3+2 x^4+\left(2 x-2 x^2+e^4 \left(-2 x^3+2 x^4\right)\right) \log (x)+e^4 \left(2 x-2 x^2\right) \log ^2(x)\right) \log \left(-x+x^2\right)+\left(-x^5+x^6+\left(2 x^3-2 x^4\right) \log (x)+\left(-x+x^2\right) \log ^2(x)\right) \log ^2\left(-x+x^2\right)}{-x+x^2+e^4 \left(-2 x+2 x^2\right) \log (x)+e^8 \left(-x+x^2\right) \log ^2(x)+\left(-2 x^3+2 x^4+\left(2 x-2 x^2+e^4 \left(-2 x^3+2 x^4\right)\right) \log (x)+e^4 \left(2 x-2 x^2\right) \log ^2(x)\right) \log \left(-x+x^2\right)+\left(-x^5+x^6+\left(2 x^3-2 x^4\right) \log (x)+\left(-x+x^2\right) \log ^2(x)\right) \log ^2\left(-x+x^2\right)} \, dx","Integrate[(-x - x^2 + 4*x^3 + E^4*(-2 + 2*x) + (2 - 4*x + E^4*(-2*x + 2*x^2))*Log[x] + E^8*(-x + x^2)*Log[x]^2 + (2 - 2*x - 4*x^2 + 2*x^3 + 2*x^4 + (2*x - 2*x^2 + E^4*(-2*x^3 + 2*x^4))*Log[x] + E^4*(2*x - 2*x^2)*Log[x]^2)*Log[-x + x^2] + (-x^5 + x^6 + (2*x^3 - 2*x^4)*Log[x] + (-x + x^2)*Log[x]^2)*Log[-x + x^2]^2)/(-x + x^2 + E^4*(-2*x + 2*x^2)*Log[x] + E^8*(-x + x^2)*Log[x]^2 + (-2*x^3 + 2*x^4 + (2*x - 2*x^2 + E^4*(-2*x^3 + 2*x^4))*Log[x] + E^4*(2*x - 2*x^2)*Log[x]^2)*Log[-x + x^2] + (-x^5 + x^6 + (2*x^3 - 2*x^4)*Log[x] + (-x + x^2)*Log[x]^2)*Log[-x + x^2]^2),x]","x-\frac{2}{x^2 \log ((x-1) x)+e^4 \log (x)-\log (x) \log ((x-1) x)+1}","-\frac{2}{\left(x^2-\log (x)\right) \log \left(x^2-x\right)+e^4 \log (x)+1}+x-3",1,"x - 2/(1 + E^4*Log[x] + x^2*Log[(-1 + x)*x] - Log[x]*Log[(-1 + x)*x])","A",1
412,1,31,29,0.3791021,"\int \frac{\exp \left(\frac{-1+\log (5)}{\log \left(-e^{\frac{75+28 x+x \log (x)}{3+\log (x)}}+x\right)}\right) \left(-9 x+9 x \log (5)+(-6 x+6 x \log (5)) \log (x)+(-x+x \log (5)) \log ^2(x)+e^{\frac{75+28 x+x \log (x)}{3+\log (x)}} \left(-75+59 x+(75-59 x) \log (5)+(31 x-31 x \log (5)) \log (x)+(x-x \log (5)) \log ^2(x)\right)\right)}{\left(-9 x^2-6 x^2 \log (x)-x^2 \log ^2(x)+e^{\frac{75+28 x+x \log (x)}{3+\log (x)}} \left(9 x+6 x \log (x)+x \log ^2(x)\right)\right) \log ^2\left(-e^{\frac{75+28 x+x \log (x)}{3+\log (x)}}+x\right)} \, dx","Integrate[(E^((-1 + Log[5])/Log[-E^((75 + 28*x + x*Log[x])/(3 + Log[x])) + x])*(-9*x + 9*x*Log[5] + (-6*x + 6*x*Log[5])*Log[x] + (-x + x*Log[5])*Log[x]^2 + E^((75 + 28*x + x*Log[x])/(3 + Log[x]))*(-75 + 59*x + (75 - 59*x)*Log[5] + (31*x - 31*x*Log[5])*Log[x] + (x - x*Log[5])*Log[x]^2)))/((-9*x^2 - 6*x^2*Log[x] - x^2*Log[x]^2 + E^((75 + 28*x + x*Log[x])/(3 + Log[x]))*(9*x + 6*x*Log[x] + x*Log[x]^2))*Log[-E^((75 + 28*x + x*Log[x])/(3 + Log[x])) + x]^2),x]","\left(\frac{5}{e}\right)^{\frac{1}{\log \left(x-e^{\frac{28 x+x \log (x)+75}{\log (x)+3}}\right)}}","\exp \left(\frac{\log (5)-1}{\log \left(x-e^{x+\frac{25 (x+3)}{\log (x)+3}}\right)}\right)",1,"(5/E)^Log[-E^((75 + 28*x + x*Log[x])/(3 + Log[x])) + x]^(-1)","A",1
413,1,27,28,0.2942009,"\int \frac{e^{\frac{3 x-x^2+x^{-\frac{x}{-10+5 x}}+9 x^2 \log (x)}{x}} \left(160 x^2-160 x^3+40 x^4+\left(180 x^2-180 x^3+45 x^4\right) \log (x)+x^{-\frac{x}{-10+5 x}} \left(-20+22 x-6 x^2+2 x \log (x)\right)\right)}{20 x^2-20 x^3+5 x^4} \, dx","Integrate[(E^((3*x - x^2 + x^(-(x/(-10 + 5*x))) + 9*x^2*Log[x])/x)*(160*x^2 - 160*x^3 + 40*x^4 + (180*x^2 - 180*x^3 + 45*x^4)*Log[x] + (-20 + 22*x - 6*x^2 + 2*x*Log[x])/x^(x/(-10 + 5*x))))/(20*x^2 - 20*x^3 + 5*x^4),x]","e^{x^{-\frac{x}{5 (x-2)}-1}-x+3} x^{9 x}","e^{x^{\frac{x}{5 (2-x)}-1}-x+9 x \log (x)+3}",1,"E^(3 - x + x^(-1 - x/(5*(-2 + x))))*x^(9*x)","A",1
414,1,64,30,0.2281374,"\int \frac{e^{2 e^x} \left(6-3 e^4\right)+12 x^2-3 e^4 x^2-3 x^2 \log (2)+\left(-16 x+6 e^4 x+2 x \log (2)\right) \log (3)+\left(6-3 e^4\right) \log ^2(3)+e^{e^x} \left(-16 x+6 e^4 x+2 x \log (2)+e^x \left(-2 x^2+x^2 \log (2)\right)+\left(12-6 e^4\right) \log (3)\right)}{e^{2 e^x} x^4+x^6-2 x^5 \log (3)+x^4 \log ^2(3)+e^{e^x} \left(-2 x^5+2 x^4 \log (3)\right)} \, dx","Integrate[(E^(2*E^x)*(6 - 3*E^4) + 12*x^2 - 3*E^4*x^2 - 3*x^2*Log[2] + (-16*x + 6*E^4*x + 2*x*Log[2])*Log[3] + (6 - 3*E^4)*Log[3]^2 + E^E^x*(-16*x + 6*E^4*x + 2*x*Log[2] + E^x*(-2*x^2 + x^2*Log[2]) + (12 - 6*E^4)*Log[3]))/(E^(2*E^x)*x^4 + x^6 - 2*x^5*Log[3] + x^4*Log[3]^2 + E^E^x*(-2*x^5 + 2*x^4*Log[3])),x]","\frac{-\frac{x \left(e^x (x (\log (2)-2)+\log (9)-\log (2) \log (3))+2-\log (2)\right)}{\left(e^x (x-\log (3))-1\right) \left(-x+e^{e^x}+\log (3)\right)}+e^4-2}{x^3}","\frac{\frac{x (2-\log (2))}{-x+e^{e^x}+\log (3)}+e^4-2}{x^3}",1,"(-2 + E^4 - (x*(2 - Log[2] + E^x*(x*(-2 + Log[2]) - Log[2]*Log[3] + Log[9])))/((-1 + E^x*(x - Log[3]))*(E^E^x - x + Log[3])))/x^3","B",1
415,1,35,24,0.078909,"\int \frac{-16 e^5-16 x+e^5 (-16+8 x) \log \left(-\frac{x}{-2+x}\right)}{e^{10} (-2+x)-2 x^2+x^3+e^5 \left(-4 x+2 x^2\right)} \, dx","Integrate[(-16*E^5 - 16*x + E^5*(-16 + 8*x)*Log[-(x/(-2 + x))])/(E^10*(-2 + x) - 2*x^2 + x^3 + E^5*(-4*x + 2*x^2)),x]","8 \left(-\log (2-x)+\log (x)-\frac{e^5 \log \left(\frac{x}{2-x}\right)}{x+e^5}\right)","\frac{8 x \log \left(\frac{x}{2-x}\right)}{x+e^5}+\frac{1}{3}",1,"8*(-Log[2 - x] + Log[x] - (E^5*Log[x/(2 - x)])/(E^5 + x))","A",1
416,1,52,22,0.0106152,"\int \frac{-2500-3000 x+18800 x^2+11840 x^3+47360 x^5-300800 x^6-192000 x^7+640000 x^8}{81 x^5+432 e^5 x^5+864 e^{10} x^5+768 e^{15} x^5+256 e^{20} x^5} \, dx","Integrate[(-2500 - 3000*x + 18800*x^2 + 11840*x^3 + 47360*x^5 - 300800*x^6 - 192000*x^7 + 640000*x^8)/(81*x^5 + 432*E^5*x^5 + 864*E^10*x^5 + 768*E^15*x^5 + 256*E^20*x^5),x]","\frac{20 \left(8000 x^4+\frac{125}{4 x^4}-3200 x^3+\frac{50}{x^3}-7520 x^2-\frac{470}{x^2}+2368 x-\frac{592}{x}\right)}{\left(3+4 e^5\right)^4}","\frac{\left(-20 x+\frac{5}{x}+2\right)^4}{\left(3+4 e^5\right)^4}",1,"(20*(125/(4*x^4) + 50/x^3 - 470/x^2 - 592/x + 2368*x - 7520*x^2 - 3200*x^3 + 8000*x^4))/(3 + 4*E^5)^4","B",1
417,1,23,23,0.1234583,"\int \frac{816+512 e+80 e^2+(128+40 e) \log (x)+5 \log ^2(x)+\left(168+104 e+16 e^2+(26+8 e) \log (x)+\log ^2(x)\right) \log (80 x)}{9+6 e+e^2} \, dx","Integrate[(816 + 512*E + 80*E^2 + (128 + 40*E)*Log[x] + 5*Log[x]^2 + (168 + 104*E + 16*E^2 + (26 + 8*E)*Log[x] + Log[x]^2)*Log[80*x])/(9 + 6*E + E^2),x]","\frac{x (\log (x)+4 (3+e))^2 (\log (80 x)+4)}{(3+e)^2}","x \left(4-\frac{\log (x)}{-3-e}\right)^2 (\log (80 x)+4)",1,"(x*(4*(3 + E) + Log[x])^2*(4 + Log[80*x]))/(3 + E)^2","A",1
418,1,7,7,0.0030358,"\int -e^{-2-x} \, dx","Integrate[-E^(-2 - x),x]","e^{-x-2}","e^{-x-2}",1,"E^(-2 - x)","A",1
419,1,37,28,0.1188685,"\int \frac{-30+54 x+e^{2-x} \left(15-12 x-12 x^2-3 x^3\right)+\left(-120 x-12 x^2+e^{2-x} \left(60 x+36 x^2+6 x^3\right)\right) \log (5+x)+\left(60 x+12 x^2+e^{2-x} \left(-30 x-21 x^2-3 x^3\right)\right) \log ^2(5+x)}{20+e^{2-x} (-20-4 x)+4 x+e^{4-2 x} (5+x)} \, dx","Integrate[(-30 + 54*x + E^(2 - x)*(15 - 12*x - 12*x^2 - 3*x^3) + (-120*x - 12*x^2 + E^(2 - x)*(60*x + 36*x^2 + 6*x^3))*Log[5 + x] + (60*x + 12*x^2 + E^(2 - x)*(-30*x - 21*x^2 - 3*x^3))*Log[5 + x]^2)/(20 + E^(2 - x)*(-20 - 4*x) + 4*x + E^(4 - 2*x)*(5 + x)),x]","\frac{3 e^x x \left(x+x \log ^2(x+5)-2 x \log (x+5)-1\right)}{2 e^x-e^2}","\frac{3 \left(x-(x-x \log (x+5))^2\right)}{e^{2-x}-2}",1,"(3*E^x*x*(-1 + x - 2*x*Log[5 + x] + x*Log[5 + x]^2))/(-E^2 + 2*E^x)","A",1
420,1,51,32,0.2648565,"\int \frac{392+112 x+6 x^2+e^{e^{e^3}} \left(16 x+24 e^x x+12 e^{2 x} x+2 e^{3 x} x\right)+(112+16 x) \log (5)+8 \log ^2(5)+e^{3 x} \left(49+28 x+3 x^2+(14+4 x) \log (5)+\log ^2(5)\right)+e^{2 x} \left(294+140 x+26 x^2+2 x^3+\left(84+20 x+2 x^2\right) \log (5)+6 \log ^2(5)\right)+e^x \left(588+224 x+43 x^2+2 x^3+\left(168+32 x+4 x^2\right) \log (5)+12 \log ^2(5)\right)}{8+12 e^x+6 e^{2 x}+e^{3 x}} \, dx","Integrate[(392 + 112*x + 6*x^2 + E^E^E^3*(16*x + 24*E^x*x + 12*E^(2*x)*x + 2*E^(3*x)*x) + (112 + 16*x)*Log[5] + 8*Log[5]^2 + E^(3*x)*(49 + 28*x + 3*x^2 + (14 + 4*x)*Log[5] + Log[5]^2) + E^(2*x)*(294 + 140*x + 26*x^2 + 2*x^3 + (84 + 20*x + 2*x^2)*Log[5] + 6*Log[5]^2) + E^x*(588 + 224*x + 43*x^2 + 2*x^3 + (168 + 32*x + 4*x^2)*Log[5] + 12*Log[5]^2))/(8 + 12*E^x + 6*E^(2*x) + E^(3*x)),x]","x \left(\frac{x^2}{\left(e^x+2\right)^2}+x^2-\frac{2 x (x+7+\log (5))}{e^x+2}+x \left(14+e^{e^{e^3}}+\log (25)\right)+(7+\log (5))^2\right)","x \left(e^{e^{e^3}} x+\left(\frac{x}{e^x+2}-x-7-\log (5)\right)^2\right)",1,"x*(x^2 + x^2/(2 + E^x)^2 + (7 + Log[5])^2 - (2*x*(7 + x + Log[5]))/(2 + E^x) + x*(14 + E^E^E^3 + Log[25]))","A",1
421,1,30,24,0.0133854,"\int \frac{24+e^2 (24-x)-4 e^2 \log (3)}{x+e^2 x+\left(4+4 e^2\right) \log (3)} \, dx","Integrate[(24 + E^2*(24 - x) - 4*E^2*Log[3])/(x + E^2*x + (4 + 4*E^2)*Log[3]),x]","\frac{24 \left(1+e^2\right) \log (x+\log (81))-e^2 (x+\log (81))}{1+e^2}","\frac{x}{1+e^2}-x+24 \log \left(\frac{x}{4}+\log (3)\right)",1,"(-(E^2*(x + Log[81])) + 24*(1 + E^2)*Log[x + Log[81]])/(1 + E^2)","A",1
422,1,31,31,0.4226687,"\int \frac{-131072 x^3-1024 e^{2 e^x} x^3-2 e^{4 e^x} x^3+e^{\frac{8}{256+e^{2 e^x}}} \left(262144+196608 x^2+e^{4 e^x} \left(4+3 x^2\right)+e^{2 e^x} \left(2048+1536 x^2+e^x \left(64 x+16 x^3\right)\right)\right)}{e^{\frac{16}{256+e^{2 e^x}}} \left(327680+2560 e^{2 e^x}+5 e^{4 e^x}\right)+327680 x^2+2560 e^{2 e^x} x^2+5 e^{4 e^x} x^2+e^{\frac{8}{256+e^{2 e^x}}} \left(-655360 x-5120 e^{2 e^x} x-10 e^{4 e^x} x\right)} \, dx","Integrate[(-131072*x^3 - 1024*E^(2*E^x)*x^3 - 2*E^(4*E^x)*x^3 + E^(8/(256 + E^(2*E^x)))*(262144 + 196608*x^2 + E^(4*E^x)*(4 + 3*x^2) + E^(2*E^x)*(2048 + 1536*x^2 + E^x*(64*x + 16*x^3))))/(E^(16/(256 + E^(2*E^x)))*(327680 + 2560*E^(2*E^x) + 5*E^(4*E^x)) + 327680*x^2 + 2560*E^(2*E^x)*x^2 + 5*E^(4*E^x)*x^2 + E^(8/(256 + E^(2*E^x)))*(-655360*x - 5120*E^(2*E^x)*x - 10*E^(4*E^x)*x)),x]","\frac{x \left(x^2+4\right)}{5 \left(e^{\frac{8}{e^{2 e^x}+256}}-x\right)}","\frac{x \left(x^2+4\right)}{5 \left(e^{\frac{8}{e^{2 e^x}+256}}-x\right)}",1,"(x*(4 + x^2))/(5*(E^(8/(256 + E^(2*E^x))) - x))","A",1
423,1,39,26,0.1640514,"\int \left(-99+40 x-3 x^2+e^{8 x-16 x^2} \left(-25-200 x+800 x^2\right)+e^{4 x-8 x^2} \left(100+380 x-1640 x^2+160 x^3\right)\right) \, dx","Integrate[-99 + 40*x - 3*x^2 + E^(8*x - 16*x^2)*(-25 - 200*x + 800*x^2) + E^(4*x - 8*x^2)*(100 + 380*x - 1640*x^2 + 160*x^3),x]","x \left(-x^2+20 x-25 e^{-8 x (2 x-1)}-10 e^{4 (1-2 x) x} (x-10)-99\right)","x-x \left(x-5 \left(2-e^{4 x-8 x^2}\right)\right)^2",1,"x*(-99 - 25/E^(8*x*(-1 + 2*x)) - 10*E^(4*(1 - 2*x)*x)*(-10 + x) + 20*x - x^2)","A",1
424,1,31,33,0.1651875,"\int \frac{-24 x^3+e^{2 x} (-5+10 x)+5 x^2 \log (2)+e^{2 x} \left(24 x^2+e^x (-5+15 x)+(5-10 x) \log (2)\right)+e^x \left(7 x^2-5 x^3+(5-5 x) \log (2)\right)}{x^2} \, dx","Integrate[(-24*x^3 + E^(2*x)*(-5 + 10*x) + 5*x^2*Log[2] + E^(2*x)*(24*x^2 + E^x*(-5 + 15*x) + (5 - 10*x)*Log[2]) + E^x*(7*x^2 - 5*x^3 + (5 - 5*x)*Log[2]))/x^2,x]","\frac{\left(-x^2+e^x+e^{2 x}\right) \left(12 x+5 e^x-\log (32)\right)}{x}","\left(-x^2+e^x+e^{2 x}\right) \left(\frac{5 \left(2 x+e^x-\log (2)\right)}{x}+2\right)",1,"((E^x + E^(2*x) - x^2)*(5*E^x + 12*x - Log[32]))/x","A",1
425,1,22,22,0.0252991,"\int \frac{-8+5 x^2-6 x^3+e^x \left(-12 x^2+3 x^3\right)}{x^2} \, dx","Integrate[(-8 + 5*x^2 - 6*x^3 + E^x*(-12*x^2 + 3*x^3))/x^2,x]","-3 x^2+5 x+3 e^x (x-5)+\frac{8}{x}","3 e^x (x-5)-x (3 x-5)+\frac{8}{x}",1,"3*E^x*(-5 + x) + 8/x + 5*x - 3*x^2","A",1
426,1,31,30,0.7365106,"\int \frac{-10 x^2-2 e^3 x^2+\exp \left(e^{\frac{5 x+25 x^4+5 e^3 x^4}{5+e^3}}+\frac{5 x+25 x^4+5 e^3 x^4}{5+e^3}\right) \left(5 x+100 x^4+20 e^3 x^4\right)+\left(e^{e^{\frac{5 x+25 x^4+5 e^3 x^4}{5+e^3}}} \left(-5-e^3\right)+5 x^2+e^3 x^2\right) \log \left(-e^{e^{\frac{5 x+25 x^4+5 e^3 x^4}{5+e^3}}}+x^2\right)}{-5 x^4-e^3 x^4+e^{e^{\frac{5 x+25 x^4+5 e^3 x^4}{5+e^3}}} \left(5 x^2+e^3 x^2\right)} \, dx","Integrate[(-10*x^2 - 2*E^3*x^2 + E^(E^((5*x + 25*x^4 + 5*E^3*x^4)/(5 + E^3)) + (5*x + 25*x^4 + 5*E^3*x^4)/(5 + E^3))*(5*x + 100*x^4 + 20*E^3*x^4) + (E^E^((5*x + 25*x^4 + 5*E^3*x^4)/(5 + E^3))*(-5 - E^3) + 5*x^2 + E^3*x^2)*Log[-E^E^((5*x + 25*x^4 + 5*E^3*x^4)/(5 + E^3)) + x^2])/(-5*x^4 - E^3*x^4 + E^E^((5*x + 25*x^4 + 5*E^3*x^4)/(5 + E^3))*(5*x^2 + E^3*x^2)),x]","\frac{\log \left(x^2-e^{e^{5 x^4+\frac{5 x}{5+e^3}}}\right)}{x}","\frac{\log \left(x^2-e^{e^{5 \left(x^4+\frac{x}{5+e^3}\right)}}\right)}{x}",1,"Log[-E^E^((5*x)/(5 + E^3) + 5*x^4) + x^2]/x","A",1
427,1,24,28,0.0901495,"\int \frac{1}{96} e^{\frac{1}{24} \left(96+720 x+48 x^2+x \log ^2(9)\right)} \left(720+96 x+\log ^2(9)\right) \, dx","Integrate[(E^((96 + 720*x + 48*x^2 + x*Log[9]^2)/24)*(720 + 96*x + Log[9]^2))/96,x]","\frac{1}{4} e^{2 x^2+\frac{1}{24} x \left(720+\log ^2(9)\right)+4}","\frac{1}{4} e^{2 x \left(x+\frac{2}{x}+3 \left(5+\frac{\log ^2(9)}{144}\right)\right)}",1,"E^(4 + 2*x^2 + (x*(720 + Log[9]^2))/24)/4","A",1
428,1,33,33,0.003602,"\int \frac{-1200+5280 x-5776 x^2-149 x^4+1440 x^5+300 x^6}{16 x^4} \, dx","Integrate[(-1200 + 5280*x - 5776*x^2 - 149*x^4 + 1440*x^5 + 300*x^6)/(16*x^4),x]","\frac{25 x^3}{4}+\frac{25}{x^3}+45 x^2-\frac{165}{x^2}-\frac{149 x}{16}+\frac{361}{x}","\log (4)-\frac{\left(\frac{x-2}{4}+x\right)^2 \left(5-4 \left(x-\frac{5}{x}+4\right)^2\right)}{x}",1,"25/x^3 - 165/x^2 + 361/x - (149*x)/16 + 45*x^2 + (25*x^3)/4","A",1
429,1,48,26,0.1152099,"\int \left(36+18 x+\frac{25 e^{-8-x+2 x^2} \left(-9 x^2+36 x^3\right)}{x^2}+e^{\frac{1}{2} \left(-8-x+2 x^2+2 \log \left(\frac{5}{x}\right)\right)} \left(63 x^2+36 x^3\right)\right) \, dx","Integrate[36 + 18*x + (25*E^(-8 - x + 2*x^2)*(-9*x^2 + 36*x^3))/x^2 + E^((-8 - x + 2*x^2 + 2*Log[5/x])/2)*(63*x^2 + 36*x^3),x]","9 \left(x^2+25 e^{2 x^2-x-8}+5 e^{x^2-\frac{x}{2}} \left(\frac{2 x}{e^4}+\frac{4}{e^4}\right)+4 x\right)","9 \left(x+5 e^{x \left(x-\frac{4}{x}\right)-\frac{x}{2}}+2\right)^2",1,"9*(25*E^(-8 - x + 2*x^2) + 4*x + x^2 + 5*E^(-1/2*x + x^2)*(4/E^4 + (2*x)/E^4))","A",1
430,1,56,18,0.0078974,"\int \left(-432 x^2-1800 x^3+1080 x^4+1944 x^5+\left(-648 x+648 x^2+2592 x^3\right) \log (x)+648 x \log ^2(x)\right) \, dx","Integrate[-432*x^2 - 1800*x^3 + 1080*x^4 + 1944*x^5 + (-648*x + 648*x^2 + 2592*x^3)*Log[x] + 648*x*Log[x]^2,x]","324 x^6+216 x^5-612 x^4+648 x^4 \log (x)-216 x^3+216 x^3 \log (x)+324 x^2+324 x^2 \log ^2(x)-648 x^2 \log (x)","36 x^2 \left(3 \left(x^2+\log (x)\right)+x-3\right)^2",1,"324*x^2 - 216*x^3 - 612*x^4 + 216*x^5 + 324*x^6 - 648*x^2*Log[x] + 216*x^3*Log[x] + 648*x^4*Log[x] + 324*x^2*Log[x]^2","B",1
431,1,17,21,2.4180047,"\int \frac{\exp \left(\exp \left(\frac{-107+19 x+(-20+4 x) \log (x)}{19+4 \log (x)}\right)+\frac{-107+19 x+(-20+4 x) \log (x)}{19+4 \log (x)}\right) \left(48+361 x+152 x \log (x)+16 x \log ^2(x)\right)}{361 x+152 x \log (x)+16 x \log ^2(x)} \, dx","Integrate[(E^(E^((-107 + 19*x + (-20 + 4*x)*Log[x])/(19 + 4*Log[x])) + (-107 + 19*x + (-20 + 4*x)*Log[x])/(19 + 4*Log[x]))*(48 + 361*x + 152*x*Log[x] + 16*x*Log[x]^2))/(361*x + 152*x*Log[x] + 16*x*Log[x]^2),x]","e^{e^{x-\frac{12}{4 \log (x)+19}-5}}","e^{e^{x+\frac{12}{\log (x)-5 (\log (x)+5)+6}-5}}",1,"E^E^(-5 + x - 12/(19 + 4*Log[x]))","A",1
432,1,48,32,0.2456107,"\int \frac{e^3 \left(-64 x^2-16 x^3-x^4\right)+\exp \left(\frac{-96 x+12 x^2+3 x^3+e^3 \left(96-38 x^2+4 x^3+x^4\right)}{e^3 \left(8 x+x^2\right)}\right) \left(192 x^2+48 x^3+3 x^4+e^3 \left(-768-192 x-304 x^2+64 x^3+28 x^4+2 x^5\right)\right)}{e^3 \left(64 x^2+16 x^3+x^4\right)} \, dx","Integrate[(E^3*(-64*x^2 - 16*x^3 - x^4) + E^((-96*x + 12*x^2 + 3*x^3 + E^3*(96 - 38*x^2 + 4*x^3 + x^4))/(E^3*(8*x + x^2)))*(192*x^2 + 48*x^3 + 3*x^4 + E^3*(-768 - 192*x - 304*x^2 + 64*x^3 + 28*x^4 + 2*x^5)))/(E^3*(64*x^2 + 16*x^3 + x^4)),x]","\exp \left(x^2-\frac{\left(4 e^3-3\right) x}{e^3}+\frac{36}{x+8}+\frac{12}{x}-\frac{3 \left(4+3 e^3\right)}{e^3}+3\right)-x","e^{(x-4) \left(x-\frac{3 \left(\frac{x}{x+8}-\frac{x}{e^3}+1\right)}{x}\right)}-x",1,"E^(3 - (3*(4 + 3*E^3))/E^3 + 12/x - ((-3 + 4*E^3)*x)/E^3 + x^2 + 36/(8 + x)) - x","A",1
433,1,34,35,0.2981059,"\int \frac{e^{-\frac{-3 x+(1-3 x) \log (x)}{x^2 \log (x)}} \left(-3 e^5 x-6 x^2+\left(-3 e^5 x-6 x^2\right) \log (x)-2 e^{\frac{-3 x+(1-3 x) \log (x)}{x^2 \log (x)}} x^3 \log ^2(x)+\left(e^5 (2-3 x)+4 x-6 x^2-2 x^3\right) \log ^2(x)\right)}{\left(e^{10} x^3+4 e^5 x^4+4 x^5\right) \log ^2(x)} \, dx","Integrate[(-3*E^5*x - 6*x^2 + (-3*E^5*x - 6*x^2)*Log[x] - 2*E^((-3*x + (1 - 3*x)*Log[x])/(x^2*Log[x]))*x^3*Log[x]^2 + (E^5*(2 - 3*x) + 4*x - 6*x^2 - 2*x^3)*Log[x]^2)/(E^((-3*x + (1 - 3*x)*Log[x])/(x^2*Log[x]))*(E^10*x^3 + 4*E^5*x^4 + 4*x^5)*Log[x]^2),x]","\frac{e^{\frac{3 x+(3 x-1) \log (x)}{x^2 \log (x)}}+1}{2 x+e^5}","\frac{x+x e^{-\frac{\frac{1}{x}-\frac{3}{\log (x)}-3}{x}}}{x \left(2 x+e^5\right)}",1,"(1 + E^((3*x + (-1 + 3*x)*Log[x])/(x^2*Log[x])))/(E^5 + 2*x)","A",1
434,1,31,28,0.1634817,"\int \frac{e^{-x} \left(-4 e^x x+e^{x^3} \left(-81-18 x-x^2+e^x \left(-81 x-18 x^2+728 x^3-81 x^4-45 x^5-3 x^6\right)\right)+e^{x^3} \left(81 x+18 x^2-242 x^3-54 x^4-3 x^5\right) \log (x)\right)}{81 x+18 x^2+x^3} \, dx","Integrate[(-4*E^x*x + E^x^3*(-81 - 18*x - x^2 + E^x*(-81*x - 18*x^2 + 728*x^3 - 81*x^4 - 45*x^5 - 3*x^6)) + E^x^3*(81*x + 18*x^2 - 242*x^3 - 54*x^4 - 3*x^5)*Log[x])/(E^x*(81*x + 18*x^2 + x^3)),x]","-e^{x^3} (x-3)-e^{x^3-x} \log (x)+\frac{4}{x+9}","e^{x^3} \left(-x-e^{-x} \log (x)+3\right)+\frac{4}{x+9}",1,"-(E^x^3*(-3 + x)) + 4/(9 + x) - E^(-x + x^3)*Log[x]","A",1
435,1,21,23,0.341268,"\int \frac{x^5-x^6+e^x \left(-x+x^2\right)+\left(6 x^5-3 x^6+e^x \left(-2 x+2 x^2\right)\right) \log (x)+\left(-e^x x+x^5+\left(-2 e^x x+2 x^5\right) \log (x)\right) \log \left(-e^x+x^4\right)}{e^x-x^4} \, dx","Integrate[(x^5 - x^6 + E^x*(-x + x^2) + (6*x^5 - 3*x^6 + E^x*(-2*x + 2*x^2))*Log[x] + (-(E^x*x) + x^5 + (-2*E^x*x + 2*x^5)*Log[x])*Log[-E^x + x^4])/(E^x - x^4),x]","x^2 \log (x) \left(-\log \left(x^4-e^x\right)+x-1\right)","x^2 \log (x) \left(-\log \left(x^4-e^x\right)+x-1\right)+5",1,"x^2*Log[x]*(-1 + x - Log[-E^x + x^4])","A",1
436,1,26,27,0.1508169,"\int \frac{13 e^3 x+52 x^2+e^x \left(24 x+12 e^3 x+24 x^2\right)+\left(e^x \left(-12 e^3-24 x\right)-13 e^3 x-26 x^2\right) \log \left(\frac{1}{3} \left(13 e^3 x+26 x^2+e^x \left(12 e^3+24 x\right)\right)\right) \log \left(\log \left(\frac{1}{3} \left(13 e^3 x+26 x^2+e^x \left(12 e^3+24 x\right)\right)\right)\right)}{\left(13 e^3 x^3+26 x^4+e^x \left(12 e^3 x^2+24 x^3\right)\right) \log \left(\frac{1}{3} \left(13 e^3 x+26 x^2+e^x \left(12 e^3+24 x\right)\right)\right)} \, dx","Integrate[(13*E^3*x + 52*x^2 + E^x*(24*x + 12*E^3*x + 24*x^2) + (E^x*(-12*E^3 - 24*x) - 13*E^3*x - 26*x^2)*Log[(13*E^3*x + 26*x^2 + E^x*(12*E^3 + 24*x))/3]*Log[Log[(13*E^3*x + 26*x^2 + E^x*(12*E^3 + 24*x))/3]])/((13*E^3*x^3 + 26*x^4 + E^x*(12*E^3*x^2 + 24*x^3))*Log[(13*E^3*x + 26*x^2 + E^x*(12*E^3 + 24*x))/3]),x]","\frac{\log \left(\log \left(\frac{1}{3} \left(2 x+e^3\right) \left(13 x+12 e^x\right)\right)\right)}{x}","\frac{\log \left(\log \left(\left(2 x+e^3\right) \left(\frac{x}{3}+4 \left(x+e^x\right)\right)\right)\right)}{x}",1,"Log[Log[((E^3 + 2*x)*(12*E^x + 13*x))/3]]/x","A",1
437,1,43,25,0.0728612,"\int \frac{-10 x-40 x^2+\left(-30-110 x+30 x^2+40 x^3\right) \log \left(\frac{1}{2} \left(x+2 x^2\right)\right)+\left(30+60 x-30 x^2-60 x^3\right) \log ^2\left(\frac{1}{2} \left(x+2 x^2\right)\right)+\left(-60 x-120 x^2+20 x^3+40 x^4\right) \log ^3\left(\frac{1}{2} \left(x+2 x^2\right)\right)}{(1+2 x) \log ^3\left(\frac{1}{2} \left(x+2 x^2\right)\right)} \, dx","Integrate[(-10*x - 40*x^2 + (-30 - 110*x + 30*x^2 + 40*x^3)*Log[(x + 2*x^2)/2] + (30 + 60*x - 30*x^2 - 60*x^3)*Log[(x + 2*x^2)/2]^2 + (-60*x - 120*x^2 + 20*x^3 + 40*x^4)*Log[(x + 2*x^2)/2]^3)/((1 + 2*x)*Log[(x + 2*x^2)/2]^3),x]","5 x \left(x^3+\frac{x}{\log ^2\left(x^2+\frac{x}{2}\right)}-\frac{2 \left(x^2-3\right)}{\log \left(x^2+\frac{x}{2}\right)}-6 x\right)","5 \left(-x^2+\frac{x}{\log \left(x^2+\frac{x}{2}\right)}+3\right)^2",1,"5*x*(-6*x + x^3 + x/Log[x/2 + x^2]^2 - (2*(-3 + x^2))/Log[x/2 + x^2])","A",1
438,1,30,27,1.2578914,"\int \frac{1}{16} \exp \left(x+\frac{1}{16} e^x \left(-75 x-55 x^2-13 x^3-x^4+e^{-4+x} \left(75 x+30 x^2+3 x^3\right)\right)\right) \left(-75-185 x-94 x^2-17 x^3-x^4+e^{-4+x} \left(75+210 x+69 x^2+6 x^3\right)\right) \, dx","Integrate[(E^(x + (E^x*(-75*x - 55*x^2 - 13*x^3 - x^4 + E^(-4 + x)*(75*x + 30*x^2 + 3*x^3)))/16)*(-75 - 185*x - 94*x^2 - 17*x^3 - x^4 + E^(-4 + x)*(75 + 210*x + 69*x^2 + 6*x^3)))/16,x]","\exp \left(-\frac{1}{16} e^{x-4} x (x+5)^2 \left(e^4 (x+3)-3 e^x\right)\right)","e^{\frac{1}{16} e^x \left(-x+3 e^{x-4}-3\right) x (x+5)^2}",1,"E^(-1/16*(E^(-4 + x)*x*(5 + x)^2*(-3*E^x + E^4*(3 + x))))","A",1
439,1,39,28,0.109808,"\int \frac{-10-x+x \log (x)+\left(-1-2 x-x^2+\left(2 x+2 x^2\right) \log (x)\right) \log \left(\frac{\log (5)}{25}\right)}{2 x \log ^2(x)} \, dx","Integrate[(-10 - x + x*Log[x] + (-1 - 2*x - x^2 + (2*x + 2*x^2)*Log[x])*Log[Log[5]/25])/(2*x*Log[x]^2),x]","\frac{x^2 \log \left(\frac{\log (5)}{25}\right)+x+2 x \log \left(\frac{\log (5)}{25}\right)+10+\log \left(\frac{\log (5)}{25}\right)}{2 \log (x)}","\frac{\frac{1}{2} \left(x+(x+1)^2 \log \left(\frac{\log (5)}{25}\right)+\log (x)\right)+5}{\log (x)}",1,"(10 + x + Log[Log[5]/25] + 2*x*Log[Log[5]/25] + x^2*Log[Log[5]/25])/(2*Log[x])","A",1
440,1,21,21,0.6812316,"\int \frac{e^{-16 x+4 x \log (x)} \left(4-96 x-4 x^3-12 x^4+\left(-4+32 x+4 x^4\right) \log (x)\right)}{1-16 x+64 x^2-2 x^4+16 x^5+x^8} \, dx","Integrate[(E^(-16*x + 4*x*Log[x])*(4 - 96*x - 4*x^3 - 12*x^4 + (-4 + 32*x + 4*x^4)*Log[x]))/(1 - 16*x + 64*x^2 - 2*x^4 + 16*x^5 + x^8),x]","\frac{e^{-16 x} x^{4 x}}{x^4+8 x-1}","\frac{e^{x (4 \log (x)-16)}}{x^4+8 x-1}",1,"x^(4*x)/(E^(16*x)*(-1 + 8*x + x^4))","A",1
441,1,10,15,0.0033505,"\int -\frac{6}{9 x-6 x \log \left(x^2\right)+x \log ^2\left(x^2\right)} \, dx","Integrate[-6/(9*x - 6*x*Log[x^2] + x*Log[x^2]^2),x]","\frac{3}{\log \left(x^2\right)-3}","\frac{3}{\log \left(x^2\right)-3}+88 \log (4)",1,"3/(-3 + Log[x^2])","A",1
442,1,27,30,0.1903155,"\int \frac{-162 x^2+270 x^3-18 x^4+e^{2 x} \left(-18+30 x-2 x^2\right)+e^x \left(108 x-180 x^2+3 x^3+9 x^4\right)}{e^{2 x} x^3-6 e^x x^4+9 x^5} \, dx","Integrate[(-162*x^2 + 270*x^3 - 18*x^4 + E^(2*x)*(-18 + 30*x - 2*x^2) + E^x*(108*x - 180*x^2 + 3*x^3 + 9*x^4))/(E^(2*x)*x^3 - 6*E^x*x^4 + 9*x^5),x]","\frac{9}{x^2}-\frac{9 x}{e^x-3 x}-\frac{30}{x}-2 \log (x)","-\log \left(x^2\right)+\left(\frac{3}{x}-5\right)^2+\frac{9}{3-\frac{e^x}{x}}",1,"9/x^2 - 30/x - (9*x)/(E^x - 3*x) - 2*Log[x]","A",1
443,1,11,14,0.0029327,"\int \left(-4+e^x+\log (16)\right) \, dx","Integrate[-4 + E^x + Log[16],x]","-4 x+e^x+x \log (16)","-x+e^x+x (\log (16)-3)-1",1,"E^x - 4*x + x*Log[16]","A",1
444,1,13,9,0.0016673,"\int \frac{-1000-500 \log (x)}{x^2} \, dx","Integrate[(-1000 - 500*Log[x])/x^2,x]","\frac{1500}{x}+\frac{500 \log (x)}{x}","\frac{500 (\log (x)+3)}{x}",1,"1500/x + (500*Log[x])/x","A",1
445,1,33,32,0.4655691,"\int \frac{\exp \left(\frac{-11 x-x^2+e^{x^2} (10+x)+e^{\frac{e^x}{2 x}} \left(-e^{x^2}+x\right)}{-10+e^{\frac{e^x}{2 x}}-x}\right) \left(220 x+40 x^2+2 x^3+e^{\frac{e^x}{x}} \left(2 x-4 e^{x^2} x^2\right)+e^{x^2} \left(-400 x^2-80 x^3-4 x^4\right)+e^{\frac{e^x}{2 x}} \left(e^x (-1+x)-42 x-4 x^2+e^{x^2} \left(80 x^2+8 x^3\right)\right)\right)}{200 x+2 e^{\frac{e^x}{x}} x+40 x^2+2 x^3+e^{\frac{e^x}{2 x}} \left(-40 x-4 x^2\right)} \, dx","Integrate[(E^((-11*x - x^2 + E^x^2*(10 + x) + E^(E^x/(2*x))*(-E^x^2 + x))/(-10 + E^(E^x/(2*x)) - x))*(220*x + 40*x^2 + 2*x^3 + E^(E^x/x)*(2*x - 4*E^x^2*x^2) + E^x^2*(-400*x^2 - 80*x^3 - 4*x^4) + E^(E^x/(2*x))*(E^x*(-1 + x) - 42*x - 4*x^2 + E^x^2*(80*x^2 + 8*x^3))))/(200*x + 2*E^(E^x/x)*x + 40*x^2 + 2*x^3 + E^(E^x/(2*x))*(-40*x - 4*x^2)),x]","e^{-e^{x^2}-\frac{x}{-x+e^{\frac{e^x}{2 x}}-10}+x}","e^{-e^{x^2}+\frac{x}{x-e^{\frac{e^x}{2 x}}+10}+x}",1,"E^(-E^x^2 + x - x/(-10 + E^(E^x/(2*x)) - x))","A",1
446,0,0,20,0.5135192,"\int \frac{90 x^2+90 x \log (3)+(x+\log (3))^{\frac{2 x^2}{5}} \left(2 x^2+\left(4 x^2+4 x \log (3)\right) \log (x+\log (3))\right)+(x+\log (3))^{\frac{x^2}{5}} \left(-30 x-6 x^3-30 \log (3)+\left(-12 x^3-12 x^2 \log (3)\right) \log (x+\log (3))\right)}{5 x+5 \log (3)} \, dx","Integrate[(90*x^2 + 90*x*Log[3] + (x + Log[3])^((2*x^2)/5)*(2*x^2 + (4*x^2 + 4*x*Log[3])*Log[x + Log[3]]) + (x + Log[3])^(x^2/5)*(-30*x - 6*x^3 - 30*Log[3] + (-12*x^3 - 12*x^2*Log[3])*Log[x + Log[3]]))/(5*x + 5*Log[3]),x]","\int \frac{90 x^2+90 x \log (3)+(x+\log (3))^{\frac{2 x^2}{5}} \left(2 x^2+\left(4 x^2+4 x \log (3)\right) \log (x+\log (3))\right)+(x+\log (3))^{\frac{x^2}{5}} \left(-30 x-6 x^3-30 \log (3)+\left(-12 x^3-12 x^2 \log (3)\right) \log (x+\log (3))\right)}{5 x+5 \log (3)} \, dx","\left(3 x-(x+\log (3))^{\frac{x^2}{5}}\right)^2",1,"Integrate[(90*x^2 + 90*x*Log[3] + (x + Log[3])^((2*x^2)/5)*(2*x^2 + (4*x^2 + 4*x*Log[3])*Log[x + Log[3]]) + (x + Log[3])^(x^2/5)*(-30*x - 6*x^3 - 30*Log[3] + (-12*x^3 - 12*x^2*Log[3])*Log[x + Log[3]]))/(5*x + 5*Log[3]), x]","F",-1
447,1,19,23,0.0171066,"\int \frac{\frac{2 \left(4-4 e^x\right)}{e^8}+2 e^{-8+\frac{e^8 x}{2}} \left(1-e^x\right)+e^x \left(4+e^{\frac{e^8 x}{2}}\right) \left(\frac{8}{e^8}+\left(1+\frac{2}{e^8}\right) e^{\frac{e^8 x}{2}}\right)}{\frac{8}{e^8}+2 e^{-8+\frac{e^8 x}{2}}} \, dx","Integrate[((2*(4 - 4*E^x))/E^8 + 2*E^(-8 + (E^8*x)/2)*(1 - E^x) + E^x*(4 + E^((E^8*x)/2))*(8/E^8 + (1 + 2/E^8)*E^((E^8*x)/2)))/(8/E^8 + 2*E^(-8 + (E^8*x)/2)),x]","x+3 e^x+e^{\frac{1}{2} \left(2+e^8\right) x}","e^x \left(e^{\frac{e^8 x}{2}}+4\right)-e^x+x",1,"3*E^x + E^(((2 + E^8)*x)/2) + x","A",1
448,1,69,31,0.2121292,"\int \frac{-3 x^2+4 x^3-2 x^4+\left(6 x-4 x^2\right) \log (2)-2 \log ^2(2)+\left(-x^2+2 x^3-x^4+\left(2 x-2 x^2\right) \log (2)-\log ^2(2)\right) \log \left(\frac{5}{x^2}\right)}{x^2-2 x^3+x^4+\left(-2 x+2 x^2\right) \log (2)+\log ^2(2)} \, dx","Integrate[(-3*x^2 + 4*x^3 - 2*x^4 + (6*x - 4*x^2)*Log[2] - 2*Log[2]^2 + (-x^2 + 2*x^3 - x^4 + (2*x - 2*x^2)*Log[2] - Log[2]^2)*Log[5/x^2])/(x^2 - 2*x^3 + x^4 + (-2*x + 2*x^2)*Log[2] + Log[2]^2),x]","-\frac{x+8 x \log ^2(2)-(x (1+\log (4)) \log (16))-4 \log ^2(2)+\log (4) \log (64)-\log (2) (1+\log (16))}{(\log (16)-1) \left(x^2-x+\log (2)\right)}+x \left(-\log \left(\frac{5}{x^2}\right)\right)-4 x","\frac{x^2}{x^2-x+\log (2)}-x \left(\log \left(\frac{5}{x^2}\right)+4\right)+e^3+3",1,"-4*x - (x - 4*Log[2]^2 + 8*x*Log[2]^2 - x*(1 + Log[4])*Log[16] - Log[2]*(1 + Log[16]) + Log[4]*Log[64])/((-x + x^2 + Log[2])*(-1 + Log[16])) - x*Log[5/x^2]","B",0
449,1,35,23,0.033931,"\int \frac{1}{625} e^{-x^2} \left(42050-1749712 x-99100 x^2+375150 x^3+10000 x^4-20000 x^5+\left(-336400-20000 x+792800 x^2+20000 x^3-80000 x^4\right) \log (5)+\left(-5000+456400 x+10000 x^2-120000 x^3\right) \log ^2(5)+\left(40000-80000 x^2\right) \log ^3(5)-20000 x \log ^4(5)\right) \, dx","Integrate[(42050 - 1749712*x - 99100*x^2 + 375150*x^3 + 10000*x^4 - 20000*x^5 + (-336400 - 20000*x + 792800*x^2 + 20000*x^3 - 80000*x^4)*Log[5] + (-5000 + 456400*x + 10000*x^2 - 120000*x^3)*Log[5]^2 + (40000 - 80000*x^2)*Log[5]^3 - 20000*x*Log[5]^4)/(625*E^x^2),x]","\frac{1}{625} e^{-x^2} \left(100 x^2+25 x (8 \log (5)-1)-841+100 \log ^2(5)\right)^2","e^{-x^2} \left(x-4 (x+\log (5))^2+\frac{841}{25}\right)^2",1,"(-841 + 100*x^2 + 100*Log[5]^2 + 25*x*(-1 + 8*Log[5]))^2/(625*E^x^2)","A",1
450,1,21,19,0.0000764,"\int \frac{1}{3} \left(6-\log \left(\frac{1+3 \log (4)}{\log (4)}\right)\right) \, dx","Integrate[(6 - Log[(1 + 3*Log[4])/Log[4]])/3,x]","2 x-\frac{1}{3} x \log \left(\frac{1+3 \log (4)}{\log (4)}\right)","2 x-\frac{1}{3} (x-5) \log \left(3+\frac{1}{\log (4)}\right)-3",1,"2*x - (x*Log[(1 + 3*Log[4])/Log[4]])/3","A",1
451,1,16,24,0.0041238,"\int \left(2-18 e^{9 x^2} x+3 x^2\right) \, dx","Integrate[2 - 18*E^(9*x^2)*x + 3*x^2,x]","x^3-e^{9 x^2}+2 x","\frac{x^4-x}{x}-e^{9 x^2}+2 x",1,"-E^(9*x^2) + 2*x + x^3","A",1
452,1,23,23,0.1142299,"\int \frac{-192 x^2-64 x^3-12 e^2 x^4+e \left(-96 x^3-12 x^4\right)+e^x \left(48 x^2+16 x^3-x^4+3 e^2 x^4+e \left(24 x^3+3 x^4\right)\right)+\left(-96 x^2-16 x^3-24 e x^3+e^x \left(24 x^2+4 x^3+6 e x^3\right)\right) \log \left(4-e^x\right)+\left(-12 x^2+3 e^x x^2\right) \log ^2\left(4-e^x\right)}{-64-32 e x-4 e^2 x^2+e^x \left(16+8 e x+e^2 x^2\right)+\left(-32-8 e x+e^x (8+2 e x)\right) \log \left(4-e^x\right)+\left(-4+e^x\right) \log ^2\left(4-e^x\right)} \, dx","Integrate[(-192*x^2 - 64*x^3 - 12*E^2*x^4 + E*(-96*x^3 - 12*x^4) + E^x*(48*x^2 + 16*x^3 - x^4 + 3*E^2*x^4 + E*(24*x^3 + 3*x^4)) + (-96*x^2 - 16*x^3 - 24*E*x^3 + E^x*(24*x^2 + 4*x^3 + 6*E*x^3))*Log[4 - E^x] + (-12*x^2 + 3*E^x*x^2)*Log[4 - E^x]^2)/(-64 - 32*E*x - 4*E^2*x^2 + E^x*(16 + 8*E*x + E^2*x^2) + (-32 - 8*E*x + E^x*(8 + 2*E*x))*Log[4 - E^x] + (-4 + E^x)*Log[4 - E^x]^2),x]","\frac{x^4}{e x+\log \left(4-e^x\right)+4}+x^3","\frac{x^4}{e x+\log \left(4-e^x\right)+4}+x^3",1,"x^3 + x^4/(4 + E*x + Log[4 - E^x])","A",1
453,1,16,13,0.0000686,"\int e^{5+10 e^{18}+5 e^{36}} \, dx","Integrate[E^(5 + 10*E^18 + 5*E^36),x]","e^{5+10 e^{18}+5 e^{36}} x","e^{5 \left(1+e^{18}\right)^2} x",1,"E^(5 + 10*E^18 + 5*E^36)*x","A",1
454,1,45,20,0.9873697,"\int \frac{1}{2} e^{-4+e^{\frac{1}{2} (1-2 x+\log (x))}} \left(2+e^{\frac{1}{2} (1-2 x+\log (x))} (1-2 x)\right) \, dx","Integrate[(E^(-4 + E^((1 - 2*x + Log[x])/2))*(2 + E^((1 - 2*x + Log[x])/2)*(1 - 2*x)))/2,x]","\frac{1}{2} \int e^{e^{\frac{1}{2} (-2 x+\log (x)+1)}-4} \left((1-2 x) e^{\frac{1}{2} (-2 x+\log (x)+1)}+2\right) \, dx","x e^{e^{\frac{1}{2} (\log (x)+1)-x}-4}",1,"Integrate[E^(-4 + E^((1 - 2*x + Log[x])/2))*(2 + E^((1 - 2*x + Log[x])/2)*(1 - 2*x)), x]/2","F",1
455,1,30,28,0.0559611,"\int \frac{7680+2974 x+66 x^2-11 x \log (x)+(-30-11 x) \log (30+11 x)}{270 x+99 x^2} \, dx","Integrate[(7680 + 2974*x + 66*x^2 - 11*x*Log[x] + (-30 - 11*x)*Log[30 + 11*x])/(270*x + 99*x^2),x]","\frac{1}{9} \left(6 x-(\log (30)-256) \log (x)-\log \left(\frac{11 x}{30}+1\right) (\log (x)+2)\right)","\frac{1}{3} \left(2 x+\frac{1}{3} (\log (x)+2) (256-\log (x+10 (x+3)))\right)",1,"(6*x - (-256 + Log[30])*Log[x] - Log[1 + (11*x)/30]*(2 + Log[x]))/9","A",1
456,1,11,13,0.0027387,"\int \frac{-31-2 x}{253+31 x+x^2} \, dx","Integrate[(-31 - 2*x)/(253 + 31*x + x^2),x]","-\log \left(x^2+31 x+253\right)","\log \left(\frac{1}{-(x+16)^2+x+3}\right)",1,"-Log[253 + 31*x + x^2]","A",1
457,1,19,21,0.0235208,"\int \frac{\left(-56+2 x+56 x^3\right) \log \left(\frac{-28+3 x-14 x^3-x \log (x)}{x}\right)}{28 x-3 x^2+14 x^4+x^2 \log (x)} \, dx","Integrate[((-56 + 2*x + 56*x^3)*Log[(-28 + 3*x - 14*x^3 - x*Log[x])/x])/(28*x - 3*x^2 + 14*x^4 + x^2*Log[x]),x]","\log ^2\left(-14 x^2-\frac{28}{x}-\log (x)+3\right)","\log ^2\left(-7 x \left(\frac{4}{x^2}+2 x\right)-\log (x)+3\right)",1,"Log[3 - 28/x - 14*x^2 - Log[x]]^2","A",1
458,1,23,23,0.3217213,"\int \frac{e^{-1+e^{x^2}} \left(-10+e^{x^2} \left(40 x-20 x^2+e^x \left(8 x-4 x^2\right)\right)\right)+e^{-1+e^{x^2}+x^2} \left(10 x+2 e^x x\right) \log \left(25+10 e^x+e^{2 x}\right)}{5+e^x} \, dx","Integrate[(E^(-1 + E^x^2)*(-10 + E^x^2*(40*x - 20*x^2 + E^x*(8*x - 4*x^2))) + E^(-1 + E^x^2 + x^2)*(10*x + 2*E^x*x)*Log[25 + 10*E^x + E^(2*x)])/(5 + E^x),x]","e^{e^{x^2}-1} \left(-2 x+\log \left(\left(e^x+5\right)^2\right)+4\right)","e^{e^{x^2}-1} \left(-2 x+\log \left(\left(e^x+5\right)^2\right)+4\right)",1,"E^(-1 + E^x^2)*(4 - 2*x + Log[(5 + E^x)^2])","A",1
459,1,27,29,0.3325999,"\int \frac{4-4 x^2-8 x^2 \log (x)}{\left(x \log \left(\frac{3}{5 x}\right)-x^3 \log (x)+x \log \left(x^2\right)\right) \log \left(-\log \left(\frac{3}{5 x}\right)+x^2 \log (x)-\log \left(x^2\right)\right)} \, dx","Integrate[(4 - 4*x^2 - 8*x^2*Log[x])/((x*Log[3/(5*x)] - x^3*Log[x] + x*Log[x^2])*Log[-Log[3/(5*x)] + x^2*Log[x] - Log[x^2]]),x]","4 \log \left(\log \left(x^2 \log (x)-\log \left(x^2\right)-\log \left(\frac{3}{5 x}\right)\right)\right)","4 \log \left(3 \log \left(x^2 \log (x)-\log \left(x^2\right)-\log \left(\frac{3}{5 x}\right)\right)\right)",1,"4*Log[Log[-Log[3/(5*x)] + x^2*Log[x] - Log[x^2]]]","A",1
460,1,21,17,0.0048744,"\int \frac{4 x^2+4 x \log (x)+2 x \log ^2(x)+2 \log ^3(x)}{x} \, dx","Integrate[(4*x^2 + 4*x*Log[x] + 2*x*Log[x]^2 + 2*Log[x]^3)/x,x]","2 x^2+\frac{\log ^4(x)}{2}+2 x \log ^2(x)","\frac{1}{2} \left(\left(2 x+\log ^2(x)\right)^2+\log (4)\right)",1,"2*x^2 + 2*x*Log[x]^2 + Log[x]^4/2","A",1
461,1,10,10,0.000463,"\int -\frac{16}{25 e^2 x^2} \, dx","Integrate[-16/(25*E^2*x^2),x]","\frac{16}{25 e^2 x}","\frac{16}{25 e^2 x}",1,"16/(25*E^2*x)","A",1
462,1,21,14,0.006999,"\int \frac{2 x+2 x^2+2 x^3+e (2+2 x)}{e+x^2} \, dx","Integrate[(2*x + 2*x^2 + 2*x^3 + E*(2 + 2*x))/(E + x^2),x]","2 \left(\frac{x^2}{2}+\frac{1}{2} \log \left(x^2+e\right)+x\right)","x^2+\log \left(x^2+e\right)+2 x+3",1,"2*(x + x^2/2 + Log[E + x^2]/2)","A",1
463,1,28,18,0.0211133,"\int \frac{e^{4 x} (-2+x)+1944 x^{14}+e^{2 x} \left(18 x^7-36 x^8\right)}{324 x^9} \, dx","Integrate[(E^(4*x)*(-2 + x) + 1944*x^14 + E^(2*x)*(18*x^7 - 36*x^8))/(324*x^9),x]","\frac{e^{4 x}}{1296 x^8}+x^6-\frac{e^{2 x}}{18 x}","\left(x^3-\frac{e^{2 x}}{36 x^4}\right)^2",1,"E^(4*x)/(1296*x^8) - E^(2*x)/(18*x) + x^6","A",1
464,1,97,30,0.2570647,"\int \frac{34 x^2+15 x^3+e^{2 x} \left(-36+51 x+18 x^2\right)+e^x \left(18 x-66 x^2-18 x^3\right)+\left(-9 x^2-6 x^3+e^{2 x} \left(9-18 x-6 x^2\right)+e^x \left(24 x^2+6 x^3\right)\right) \log (x)}{-43 x^3-9 x^4+e^{2 x} \left(-27 x-9 x^2\right)+e^x \left(54 x^2+18 x^3\right)+\left(9 x^3+3 x^4+e^{2 x} \left(9 x+3 x^2\right)+e^x \left(-18 x^2-6 x^3\right)\right) \log (x)} \, dx","Integrate[(34*x^2 + 15*x^3 + E^(2*x)*(-36 + 51*x + 18*x^2) + E^x*(18*x - 66*x^2 - 18*x^3) + (-9*x^2 - 6*x^3 + E^(2*x)*(9 - 18*x - 6*x^2) + E^x*(24*x^2 + 6*x^3))*Log[x])/(-43*x^3 - 9*x^4 + E^(2*x)*(-27*x - 9*x^2) + E^x*(54*x^2 + 18*x^3) + (9*x^3 + 3*x^4 + E^(2*x)*(9*x + 3*x^2) + E^x*(-18*x^2 - 6*x^3))*Log[x]),x]","\log (x)-\log \left(-9 x^3+3 x^3 \log (x)+18 e^x x^2-43 x^2-6 e^x x^2 \log (x)+9 x^2 \log (x)+54 e^x x-9 e^{2 x} x-27 e^{2 x}-18 e^x x \log (x)+3 e^{2 x} x \log (x)+9 e^{2 x} \log (x)\right)","\log \left(\frac{1}{x+\frac{3 (x+3) \left(e^x-x\right)^2 (3-\log (x))}{16 x}}\right)",1,"Log[x] - Log[-27*E^(2*x) + 54*E^x*x - 9*E^(2*x)*x - 43*x^2 + 18*E^x*x^2 - 9*x^3 + 9*E^(2*x)*Log[x] - 18*E^x*x*Log[x] + 3*E^(2*x)*x*Log[x] + 9*x^2*Log[x] - 6*E^x*x^2*Log[x] + 3*x^3*Log[x]]","B",1
465,1,10,16,0.0038661,"\int \frac{1}{2} e^{-5+x} (-3-3 x) \, dx","Integrate[(E^(-5 + x)*(-3 - 3*x))/2,x]","-\frac{3}{2} e^{x-5} x","\frac{3}{2} \left(-e^{x-5} x-\frac{3}{16}\right)",1,"(-3*E^(-5 + x)*x)/2","A",1
466,1,27,23,0.0194885,"\int \frac{-3 e^{142/25}+e^{71/25} (-3-12 x)}{25+10 x+21 x^2+e^{142/25} x^2+4 x^3+4 x^4+e^{71/25} \left(10 x+2 x^2+4 x^3\right)+\left(10+2 x+2 e^{71/25} x+4 x^2\right) \log (\log (5))+\log ^2(\log (5))} \, dx","Integrate[(-3*E^(142/25) + E^(71/25)*(-3 - 12*x))/(25 + 10*x + 21*x^2 + E^(142/25)*x^2 + 4*x^3 + 4*x^4 + E^(71/25)*(10*x + 2*x^2 + 4*x^3) + (10 + 2*x + 2*E^(71/25)*x + 4*x^2)*Log[Log[5]] + Log[Log[5]]^2),x]","\frac{3 e^{71/25}}{2 x^2+e^{71/25} x+x+5+\log (\log (5))}","\frac{3}{\frac{2 x^2+x+5+\log (\log (5))}{e^{71/25}}+x}",1,"(3*E^(71/25))/(5 + x + E^(71/25)*x + 2*x^2 + Log[Log[5]])","A",1
467,1,31,32,1.0686124,"\int \frac{e^{\frac{108-120 x-4 x^2+16 x^3}{-1-x^2+x \log (5)}} \left(120+224 x-168 x^2-16 x^4+\left(-108-4 x^2+32 x^3\right) \log (5)\right)}{1+2 x^2+x^4+\left(-2 x-2 x^3\right) \log (5)+x^2 \log ^2(5)} \, dx","Integrate[(E^((108 - 120*x - 4*x^2 + 16*x^3)/(-1 - x^2 + x*Log[5]))*(120 + 224*x - 168*x^2 - 16*x^4 + (-108 - 4*x^2 + 32*x^3)*Log[5]))/(1 + 2*x^2 + x^4 + (-2*x - 2*x^3)*Log[5] + x^2*Log[5]^2),x]","\exp \left(-\frac{4 \left(4 x^3-x^2-30 x+27\right)}{x^2-x \log (5)+1}\right)","\exp \left(\frac{4 (x+3) \left(x-(3-2 x)^2\right)}{x \left(x+\frac{1}{x}-\log (5)\right)}\right)",1,"E^((-4*(27 - 30*x - x^2 + 4*x^3))/(1 + x^2 - x*Log[5]))","A",1
468,1,11,17,0.0452931,"\int -\frac{1}{(2 x \log (x)+x \log (x) \log (\log (x))) \log (-2-\log (\log (x)))} \, dx","Integrate[-(1/((2*x*Log[x] + x*Log[x]*Log[Log[x]])*Log[-2 - Log[Log[x]]])),x]","-\log (\log (-\log (\log (x))-2))","e^2-\log (2 \log (-\log (\log (x))-2))",1,"-Log[Log[-2 - Log[Log[x]]]]","A",1
469,1,8,8,0.0000642,"\int \frac{1}{4 e^{19}} \, dx","Integrate[1/(4*E^19),x]","\frac{x}{4 e^{19}}","\frac{x}{4 e^{19}}",1,"x/(4*E^19)","A",1
470,1,23,22,0.162683,"\int \frac{e^{-x} \left(e^{2 x} (-1+x)+e^{e^{-x} x} \left(4 x^2-4 x^3\right)\right)}{4 x^2} \, dx","Integrate[(E^(2*x)*(-1 + x) + E^(x/E^x)*(4*x^2 - 4*x^3))/(4*E^x*x^2),x]","\frac{1}{4} \left(4 e^{e^{-x} x}+\frac{e^x}{x}\right)","e^{e^{-x} x}+\frac{e^x}{4 x}+\log (3)",1,"(4*E^(x/E^x) + E^x/x)/4","A",1
471,1,26,24,0.0079734,"\int \frac{1+e^4 \left(3 x^3+2 x^4+3 x^5\right)+2 \log \left(\frac{5}{3 x}\right)}{e^4 x^3} \, dx","Integrate[(1 + E^4*(3*x^3 + 2*x^4 + 3*x^5) + 2*Log[5/(3*x)])/(E^4*x^3),x]","x^3+x^2-\frac{\log \left(\frac{5}{3 x}\right)}{e^4 x^2}+3 x","x \left(-\frac{\log \left(\frac{5}{3 x}\right)}{e^4 x^3}+x^2+x+3\right)",1,"3*x + x^2 + x^3 - Log[5/(3*x)]/(E^4*x^2)","A",1
472,1,19,22,0.0000854,"\int \left(4+2 x-6 x^2+3 e^5 x^2\right) \, dx","Integrate[4 + 2*x - 6*x^2 + 3*E^5*x^2,x]","e^5 x^3-2 x^3+x^2+4 x","x \left(-\left(\left(4-e^5\right) x^2\right)+2 x^2+x+4\right)",1,"4*x + x^2 - 2*x^3 + E^5*x^3","A",1
473,1,62,32,0.4113823,"\int \frac{4 x^3 \log (x) \log ^2(\log (x))+\exp \left(\frac{-8 x-5 e^3 x+x^2-10 \log (\log (x))}{\log (\log (x))}\right) \left(8+5 e^3-x+\left(-8-5 e^3+2 x\right) \log (x) \log (\log (x))\right)+\exp \left(\frac{-8 x-5 e^3 x+x^2-10 \log (\log (x))}{2 \log (\log (x))}\right) \left(8 x^2+5 e^3 x^2-x^3+\left(-8 x^2-5 e^3 x^2+2 x^3\right) \log (x) \log (\log (x))+4 x \log (x) \log ^2(\log (x))\right)}{\log (x) \log ^2(\log (x))} \, dx","Integrate[(4*x^3*Log[x]*Log[Log[x]]^2 + E^((-8*x - 5*E^3*x + x^2 - 10*Log[Log[x]])/Log[Log[x]])*(8 + 5*E^3 - x + (-8 - 5*E^3 + 2*x)*Log[x]*Log[Log[x]]) + E^((-8*x - 5*E^3*x + x^2 - 10*Log[Log[x]])/(2*Log[Log[x]]))*(8*x^2 + 5*E^3*x^2 - x^3 + (-8*x^2 - 5*E^3*x^2 + 2*x^3)*Log[x]*Log[Log[x]] + 4*x*Log[x]*Log[Log[x]]^2))/(Log[x]*Log[Log[x]]^2),x]","e^{-\frac{\left(8+5 e^3\right) x}{\log (\log (x))}-10} \left(x^2 e^{\frac{\left(8+5 e^3\right) x}{2 \log (\log (x))}+5}+e^{\frac{x^2}{2 \log (\log (x))}}\right)^2","\left(x^2+e^{\frac{x \left(\frac{1}{2} \left(x-5 e^3\right)-4\right)}{\log (\log (x))}-5}\right)^2+3",1,"E^(-10 - ((8 + 5*E^3)*x)/Log[Log[x]])*(E^(x^2/(2*Log[Log[x]])) + E^(5 + ((8 + 5*E^3)*x)/(2*Log[Log[x]]))*x^2)^2","A",1
474,1,16,29,0.0095499,"\int \frac{192 x^2+12 x^4-x^6}{4096+1536 x^2+272 x^4+24 x^6+x^8} \, dx","Integrate[(192*x^2 + 12*x^4 - x^6)/(4096 + 1536*x^2 + 272*x^4 + 24*x^6 + x^8),x]","\frac{x^3}{x^4+12 x^2+64}","\frac{1}{x+\frac{4 \left(\frac{16 \log ^2(3)}{(x (1+\log (3))-x)^2}+3\right)}{x}}",1,"x^3/(64 + 12*x^2 + x^4)","A",1
475,1,13,19,0.0070126,"\int \frac{-5-4 x-4 x^2}{1+4 x+4 x^2} \, dx","Integrate[(-5 - 4*x - 4*x^2)/(1 + 4*x + 4*x^2),x]","\frac{2}{2 x+1}-x","-x+\log \left(e^{\frac{2}{2 x+1}-4}\right)+2",1,"-x + 2/(1 + 2*x)","A",1
476,1,30,31,0.4063058,"\int \frac{48+896 x-16 x^2+e^{2 x^2} \left(-12-864 x+48 x^2+192 x^3\right)}{144+9 e^{4 x^2}+96 x^2+16 x^4+e^{2 x^2} \left(-72-24 x^2\right)} \, dx","Integrate[(48 + 896*x - 16*x^2 + E^(2*x^2)*(-12 - 864*x + 48*x^2 + 192*x^3))/(144 + 9*E^(4*x^2) + 96*x^2 + 16*x^4 + E^(2*x^2)*(-72 - 24*x^2)),x]","\frac{4 \left(-4 x^2-x+16\right)}{-4 x^2+3 e^{2 x^2}-12}","\frac{4 \left(x^2-4\right)+x}{x^2+\frac{3}{4} \left(4-e^{2 x^2}\right)}",1,"(4*(16 - x - 4*x^2))/(-12 + 3*E^(2*x^2) - 4*x^2)","A",1
477,1,49,28,0.315367,"\int \frac{e^5 (5184-122688 x)+e^5 (-9120+431840 x) \log (2 x)+e^5 (-67800+684600 x) \log ^2(2 x)+e^5 (-31500+220500 x) \log ^3(2 x)}{8+60 \log (2 x)+150 \log ^2(2 x)+125 \log ^3(2 x)} \, dx","Integrate[(E^5*(5184 - 122688*x) + E^5*(-9120 + 431840*x)*Log[2*x] + E^5*(-67800 + 684600*x)*Log[2*x]^2 + E^5*(-31500 + 220500*x)*Log[2*x]^3)/(8 + 60*Log[2*x] + 150*Log[2*x]^2 + 125*Log[2*x]^3),x]","4 e^5 \left(\frac{441 x^2}{2}+\frac{5000 x^2}{(5 \log (2 x)+2)^2}-63 x+\frac{150 (14 x-2) x}{5 \log (2 x)+2}\right)","2 e^5 \left(-x-20 \left(x+\frac{x}{\log (2 x)+\frac{2}{5}}\right)+3\right)^2",1,"4*E^5*(-63*x + (441*x^2)/2 + (5000*x^2)/(2 + 5*Log[2*x])^2 + (150*x*(-2 + 14*x))/(2 + 5*Log[2*x]))","A",1
478,1,107,32,1.7280618,"\int \frac{\exp \left(\frac{5 x-5 e^{2+x+25 x^2+50 x^3+25 x^4} x-5 x \log (\log (3 x))}{e^{2+x+25 x^2+50 x^3+25 x^4}+\log (\log (3 x))}\right) \left(-5+\left(-5 e^{4+2 x+50 x^2+100 x^3+50 x^4}+e^{2+x+25 x^2+50 x^3+25 x^4} \left(5-5 x-250 x^2-750 x^3-500 x^4\right)\right) \log (3 x)+\left(5-10 e^{2+x+25 x^2+50 x^3+25 x^4}\right) \log (3 x) \log (\log (3 x))-5 \log (3 x) \log ^2(\log (3 x))\right)}{e^{4+2 x+50 x^2+100 x^3+50 x^4} \log (3 x)+2 e^{2+x+25 x^2+50 x^3+25 x^4} \log (3 x) \log (\log (3 x))+\log (3 x) \log ^2(\log (3 x))} \, dx","Integrate[(E^((5*x - 5*E^(2 + x + 25*x^2 + 50*x^3 + 25*x^4)*x - 5*x*Log[Log[3*x]])/(E^(2 + x + 25*x^2 + 50*x^3 + 25*x^4) + Log[Log[3*x]]))*(-5 + (-5*E^(4 + 2*x + 50*x^2 + 100*x^3 + 50*x^4) + E^(2 + x + 25*x^2 + 50*x^3 + 25*x^4)*(5 - 5*x - 250*x^2 - 750*x^3 - 500*x^4))*Log[3*x] + (5 - 10*E^(2 + x + 25*x^2 + 50*x^3 + 25*x^4))*Log[3*x]*Log[Log[3*x]] - 5*Log[3*x]*Log[Log[3*x]]^2))/(E^(4 + 2*x + 50*x^2 + 100*x^3 + 50*x^4)*Log[3*x] + 2*E^(2 + x + 25*x^2 + 50*x^3 + 25*x^4)*Log[3*x]*Log[Log[3*x]] + Log[3*x]*Log[Log[3*x]]^2),x]","\log ^{\frac{5 x}{\log (\log (3 x))}-\frac{5 x}{e^{25 x^4+50 x^3+25 x^2+x+2}+\log (\log (3 x))}}(3 x) \exp \left(-\frac{5 \left(e^{25 x^4+50 x^3+25 x^2+x+2}-1\right) x}{e^{25 x^4+50 x^3+25 x^2+x+2}+\log (\log (3 x))}-5 x\right)","\exp \left(5 \left(\frac{x}{e^{25 \left(x^2+x\right)^2+x+2}+\log (\log (3 x))}-x\right)\right)",1,"E^(-5*x - (5*(-1 + E^(2 + x + 25*x^2 + 50*x^3 + 25*x^4))*x)/(E^(2 + x + 25*x^2 + 50*x^3 + 25*x^4) + Log[Log[3*x]]))*Log[3*x]^((5*x)/Log[Log[3*x]] - (5*x)/(E^(2 + x + 25*x^2 + 50*x^3 + 25*x^4) + Log[Log[3*x]]))","B",1
479,1,22,22,0.007168,"\int \frac{4 x+(96-16 x) \log (2)}{9 x^3 \log (2)} \, dx","Integrate[(4*x + (96 - 16*x)*Log[2])/(9*x^3*Log[2]),x]","\frac{4 (x (\log (16)-1)-12 \log (2))}{9 x^2 \log (2)}","\frac{16 \left(x^2+x-\frac{x}{4 \log (2)}-3\right)}{9 x^2}",1,"(4*(-12*Log[2] + x*(-1 + Log[16])))/(9*x^2*Log[2])","A",1
480,1,23,23,2.7508385,"\int \frac{32 x-10 x^2+e^x \left(16 x-5 x^2\right)+\left(30 x-10 x^2+e^x \left(15 x+10 x^2-5 x^3\right)+\left(-6+2 x+e^x \left(-3-2 x+x^2\right)\right) \log (-12+4 x)\right) \log (5 x-\log (-12+4 x))}{75 x-25 x^2+(-15+5 x) \log (-12+4 x)} \, dx","Integrate[(32*x - 10*x^2 + E^x*(16*x - 5*x^2) + (30*x - 10*x^2 + E^x*(15*x + 10*x^2 - 5*x^3) + (-6 + 2*x + E^x*(-3 - 2*x + x^2))*Log[-12 + 4*x])*Log[5*x - Log[-12 + 4*x]])/(75*x - 25*x^2 + (-15 + 5*x)*Log[-12 + 4*x]),x]","\frac{1}{5} \left(e^x+2\right) x \log (5 x-\log (4 (x-3)))","\frac{1}{5} \left(e^x+2\right) x \log (5 x-\log (4 (x-3)))",1,"((2 + E^x)*x*Log[5*x - Log[4*(-3 + x)]])/5","A",1
481,1,21,21,1.0998499,"\int \left(1+\exp \left(e^x+e^{\frac{1}{3} e^{e^x} \left(2 x+2 x^2\right)}+\frac{1}{3} e^{e^x} \left(2 x+2 x^2\right)\right) \left(2+4 x+e^x \left(2 x+2 x^2\right)\right)\right) \, dx","Integrate[1 + E^(E^x + E^((E^E^x*(2*x + 2*x^2))/3) + (E^E^x*(2*x + 2*x^2))/3)*(2 + 4*x + E^x*(2*x + 2*x^2)),x]","x+3 e^{e^{\frac{2}{3} e^{e^x} x (x+1)}}","x+3 e^{e^{\frac{2}{3} e^{e^x} x (x+1)}}",1,"3*E^E^((2*E^E^x*x*(1 + x))/3) + x","A",1
482,1,15,15,0.2577209,"\int \frac{x-32 x^2+\left(4-x+16 x^2\right) \log \left(4-x+16 x^2\right)}{\left(4-x+16 x^2\right) \log ^2\left(4-x+16 x^2\right)} \, dx","Integrate[(x - 32*x^2 + (4 - x + 16*x^2)*Log[4 - x + 16*x^2])/((4 - x + 16*x^2)*Log[4 - x + 16*x^2]^2),x]","\frac{x}{\log \left(16 x^2-x+4\right)}","\frac{x}{\log \left(16 x^2-x+4\right)}",1,"x/Log[4 - x + 16*x^2]","A",1
483,1,17,20,0.0864283,"\int \frac{1+x+\left(1+2 x+x^2\right) \log (x)+(-2-4 x) \log (x) \log \left(x+x^2\right)}{\left(x+x^2\right) \log (x)} \, dx","Integrate[(1 + x + (1 + 2*x + x^2)*Log[x] + (-2 - 4*x)*Log[x]*Log[x + x^2])/((x + x^2)*Log[x]),x]","x-\log ^2(x (x+1))+\log (x)+\log (\log (x))","\log \left(4 e^x x \log (x)\right)-\log ^2\left(x^2+x\right)",1,"x + Log[x] - Log[x*(1 + x)]^2 + Log[Log[x]]","A",1
484,1,16,16,0.0172442,"\int \frac{-2+e^{x^2}-x+2 e^{x^2} x^2 \log (x)}{x} \, dx","Integrate[(-2 + E^x^2 - x + 2*E^x^2*x^2*Log[x])/x,x]","e^{x^2} \log (x)-x-2 \log (x)","e^{x^2} \log (x)+x-2 (x+\log (x))",1,"-x - 2*Log[x] + E^x^2*Log[x]","A",1
485,1,22,22,0.0147763,"\int \left(5+i \pi +2 x^2+\left(-4-i \pi -6 x^2\right) \log \left(\frac{5}{x}\right)+\left(-1+\log \left(\frac{5}{x}\right)\right) \log (x)\right) \, dx","Integrate[5 + I*Pi + 2*x^2 + (-4 - I*Pi - 6*x^2)*Log[5/x] + (-1 + Log[5/x])*Log[x],x]","x \log \left(\frac{5}{x}\right) \left(-2 x^2+\log (x)-i \pi -5\right)","x \log \left(\frac{5}{x}\right) \left(-2 x^2+\log (x)-i \pi -5\right)",1,"x*Log[5/x]*(-5 - I*Pi - 2*x^2 + Log[x])","A",1
486,0,0,28,1.1133337,"\int \frac{192 x-48 x^2+e^{x/16} \left(48 x-16 x^2\right)+\left(48 x+e^{x/16} \left(13 x+x^2\right)\right) \log \left(-48+12 x+e^{x/16} (-12+4 x)\right)+\left(-96+24 x+e^{x/16} (-24+8 x)\right) \log ^2\left(-48+12 x+e^{x/16} (-12+4 x)\right)}{-96+24 x+e^{x/16} (-24+8 x)} \, dx","Integrate[(192*x - 48*x^2 + E^(x/16)*(48*x - 16*x^2) + (48*x + E^(x/16)*(13*x + x^2))*Log[-48 + 12*x + E^(x/16)*(-12 + 4*x)] + (-96 + 24*x + E^(x/16)*(-24 + 8*x))*Log[-48 + 12*x + E^(x/16)*(-12 + 4*x)]^2)/(-96 + 24*x + E^(x/16)*(-24 + 8*x)),x]","\int \frac{192 x-48 x^2+e^{x/16} \left(48 x-16 x^2\right)+\left(48 x+e^{x/16} \left(13 x+x^2\right)\right) \log \left(-48+12 x+e^{x/16} (-12+4 x)\right)+\left(-96+24 x+e^{x/16} (-24+8 x)\right) \log ^2\left(-48+12 x+e^{x/16} (-12+4 x)\right)}{-96+24 x+e^{x/16} (-24+8 x)} \, dx","x \left(\log ^2\left(4 \left(\left(e^{x/16}+4\right) (x-3)-x\right)\right)-x\right)",1,"Integrate[(192*x - 48*x^2 + E^(x/16)*(48*x - 16*x^2) + (48*x + E^(x/16)*(13*x + x^2))*Log[-48 + 12*x + E^(x/16)*(-12 + 4*x)] + (-96 + 24*x + E^(x/16)*(-24 + 8*x))*Log[-48 + 12*x + E^(x/16)*(-12 + 4*x)]^2)/(-96 + 24*x + E^(x/16)*(-24 + 8*x)), x]","F",-1
487,1,18,22,0.1588371,"\int \frac{-1-3 x+3 x^2-21 x^7+3 x^8+x \log (2 x)}{3 x^2+3 x^8+x \log (2 x)} \, dx","Integrate[(-1 - 3*x + 3*x^2 - 21*x^7 + 3*x^8 + x*Log[2*x])/(3*x^2 + 3*x^8 + x*Log[2*x]),x]","x-\log \left(3 x^7+3 x+\log (2 x)\right)","-\log \left(x \left(x^6+1\right)+\frac{1}{3} \log (2 x)\right)+x+3",1,"x - Log[3*x + 3*x^7 + Log[2*x]]","A",1
488,1,23,25,0.3538483,"\int \frac{-2 x+e^{\frac{1}{2} \left(2+e^x\right)} \left(4 x-e^x x^2\right)+4 x \log (9 x)}{e^{2+e^x}+2 e^{\frac{1}{2} \left(2+e^x\right)} \log (9 x)+\log ^2(9 x)} \, dx","Integrate[(-2*x + E^((2 + E^x)/2)*(4*x - E^x*x^2) + 4*x*Log[9*x])/(E^(2 + E^x) + 2*E^((2 + E^x)/2)*Log[9*x] + Log[9*x]^2),x]","\frac{2 x^2}{e^{\frac{e^x}{2}+1}+\log (9 x)}","\frac{2 x^2}{e^{\frac{e^x}{2}+1}+\log (9 x)}+4",1,"(2*x^2)/(E^(1 + E^x/2) + Log[9*x])","A",1
489,1,27,24,0.4323354,"\int \frac{8 x^2-x^3+e^{\frac{e^5}{x}} \left(12 e^6+3 e x^2\right)-x^2 \log (5)}{4 x^2+3 e^{1+\frac{e^5}{x}} x^2-x^3-x^2 \log (5)} \, dx","Integrate[(8*x^2 - x^3 + E^(E^5/x)*(12*E^6 + 3*E*x^2) - x^2*Log[5])/(4*x^2 + 3*E^(1 + E^5/x)*x^2 - x^3 - x^2*Log[5]),x]","x-4 \log \left(-x+3 e^{\frac{e^5}{x}+1}+4-\log (5)\right)","x-4 \log \left(x-3 e^{\frac{e^5}{x}+1}-4+\log (5)\right)+5",1,"x - 4*Log[4 + 3*E^(1 + E^5/x) - x - Log[5]]","A",1
490,1,21,21,0.0056343,"\int \frac{2 x^2+\left(1-2 x+e^2 x\right) \log ^2(15+e)}{x \log ^2(15+e)} \, dx","Integrate[(2*x^2 + (1 - 2*x + E^2*x)*Log[15 + E]^2)/(x*Log[15 + E]^2),x]","\frac{x^2}{\log ^2(15+e)}+e^2 x-2 x+\log (x)","\frac{x^2}{\log ^2(15+e)}+e^2 x-2 x+\log (x)",1,"-2*x + E^2*x + x^2/Log[15 + E]^2 + Log[x]","A",1
491,1,17,18,0.0253278,"\int \frac{1+x+18 e^{1-6 e^{1+3 x}+3 x} x}{x} \, dx","Integrate[(1 + x + 18*E^(1 - 6*E^(1 + 3*x) + 3*x)*x)/x,x]","x-e^{-6 e^{3 x+1}}+\log (x)","x-e^{-6 e^{3 x+1}}+\log (x)+1",1,"-E^(-6*E^(1 + 3*x)) + x + Log[x]","A",1
492,1,14,14,0.0054554,"\int \frac{(-48-16 x) \log (3)}{80 x^4+40 x^5+5 x^6} \, dx","Integrate[((-48 - 16*x)*Log[3])/(80*x^4 + 40*x^5 + 5*x^6),x]","\frac{4 \log (3)}{5 x^3 (x+4)}","\frac{4 \log (3)}{5 x^3 (x+4)}",1,"(4*Log[3])/(5*x^3*(4 + x))","A",1
493,1,8,15,0.0000643,"\int \frac{-10+e^2}{e^2} \, dx","Integrate[(-10 + E^2)/E^2,x]","x-\frac{10 x}{e^2}","x-\frac{10 x-\log (3)}{e^2}",1,"x - (10*x)/E^2","A",1
494,0,0,31,0.9674194,"\int \frac{\exp \left(\frac{\log \left(-\frac{6}{e x-x^2}\right)-x \log (\log (1-x))}{\log (\log (1-x))}\right) \left(\left(-e x+x^2\right) \log \left(-\frac{6}{e x-x^2}\right)+\left(e (1-x)-2 x+2 x^2\right) \log (1-x) \log (\log (1-x))+\left(x-2 x^2+x^3+e \left(-1+2 x-x^2\right)\right) \log (1-x) \log ^2(\log (1-x))\right)}{\left(e (-1+x)+x-x^2\right) \log (1-x) \log ^2(\log (1-x))} \, dx","Integrate[(E^((Log[-6/(E*x - x^2)] - x*Log[Log[1 - x]])/Log[Log[1 - x]])*((-(E*x) + x^2)*Log[-6/(E*x - x^2)] + (E*(1 - x) - 2*x + 2*x^2)*Log[1 - x]*Log[Log[1 - x]] + (x - 2*x^2 + x^3 + E*(-1 + 2*x - x^2))*Log[1 - x]*Log[Log[1 - x]]^2))/((E*(-1 + x) + x - x^2)*Log[1 - x]*Log[Log[1 - x]]^2),x]","\int \frac{\exp \left(\frac{\log \left(-\frac{6}{e x-x^2}\right)-x \log (\log (1-x))}{\log (\log (1-x))}\right) \left(\left(-e x+x^2\right) \log \left(-\frac{6}{e x-x^2}\right)+\left(e (1-x)-2 x+2 x^2\right) \log (1-x) \log (\log (1-x))+\left(x-2 x^2+x^3+e \left(-1+2 x-x^2\right)\right) \log (1-x) \log ^2(\log (1-x))\right)}{\left(e (-1+x)+x-x^2\right) \log (1-x) \log ^2(\log (1-x))} \, dx","x e^{\frac{\log \left(\frac{6}{x (x-e)}\right)}{\log (\log (1-x))}-x}",1,"Integrate[(E^((Log[-6/(E*x - x^2)] - x*Log[Log[1 - x]])/Log[Log[1 - x]])*((-(E*x) + x^2)*Log[-6/(E*x - x^2)] + (E*(1 - x) - 2*x + 2*x^2)*Log[1 - x]*Log[Log[1 - x]] + (x - 2*x^2 + x^3 + E*(-1 + 2*x - x^2))*Log[1 - x]*Log[Log[1 - x]]^2))/((E*(-1 + x) + x - x^2)*Log[1 - x]*Log[Log[1 - x]]^2), x]","F",-1
495,1,18,16,0.014274,"\int \frac{-15 x^3+e x \left(-20+3 x^2\right)}{e x^7} \, dx","Integrate[(-15*x^3 + E*x*(-20 + 3*x^2))/(E*x^7),x]","\frac{4}{x^5}+\frac{5-e}{e x^3}","\frac{\frac{4}{x^2}+\frac{5}{e}-1}{x^3}",1,"4/x^5 + (5 - E)/(E*x^3)","A",1
496,1,14,14,0.0116239,"\int \frac{-2 e^{2 x}+e^{2 x} (-4+2 x) \log (2-x)}{(-2+x) \log ^3(2-x)} \, dx","Integrate[(-2*E^(2*x) + E^(2*x)*(-4 + 2*x)*Log[2 - x])/((-2 + x)*Log[2 - x]^3),x]","\frac{e^{2 x}}{\log ^2(2-x)}","\frac{e^{2 x}}{\log ^2(2-x)}",1,"E^(2*x)/Log[2 - x]^2","A",1
497,1,17,14,0.0025345,"\int \frac{-1+3 x-2 x^2+x \log (x)}{x} \, dx","Integrate[(-1 + 3*x - 2*x^2 + x*Log[x])/x,x]","-x^2+2 x+x \log (x)-\log (x)","x+(1-x) (x-\log (x))",1,"2*x - x^2 - Log[x] + x*Log[x]","A",1
498,1,37,28,0.0258962,"\int \frac{18+54 x+75 x^2+144 x^3+104 x^4+96 x^5+48 x^6+e^5 \left(40 x+80 x^2+40 x^3\right)}{9+18 x+33 x^2+48 x^3+40 x^4+32 x^5+16 x^6} \, dx","Integrate[(18 + 54*x + 75*x^2 + 144*x^3 + 104*x^4 + 96*x^5 + 48*x^6 + E^5*(40*x + 80*x^2 + 40*x^3))/(9 + 18*x + 33*x^2 + 48*x^3 + 40*x^4 + 32*x^5 + 16*x^6),x]","\frac{4 x^2-5 e^5 (x+1)+3}{4 x^3+4 x^2+3 x+3}+3 x","\frac{x^2}{x+1}-\frac{5 e^5}{4 x^2+3}+2 x+3",1,"3*x + (3 + 4*x^2 - 5*E^5*(1 + x))/(3 + 3*x + 4*x^2 + 4*x^3)","A",1
499,1,20,23,0.741575,"\int \left(e^{x^2} \left(600+4090 x+1200 x^2+90 x^3\right)+e^{x^2} (400+60 x) \log (x)+e^{x^2} \left(200+60 x+400 x^2+60 x^3\right) \log ^2(x)+20 e^{x^2} x \log ^3(x)+e^{x^2} \left(10 x+10 x^3\right) \log ^4(x)\right) \, dx","Integrate[E^x^2*(600 + 4090*x + 1200*x^2 + 90*x^3) + E^x^2*(400 + 60*x)*Log[x] + E^x^2*(200 + 60*x + 400*x^2 + 60*x^3)*Log[x]^2 + 20*E^x^2*x*Log[x]^3 + E^x^2*(10*x + 10*x^3)*Log[x]^4,x]","5 e^{x^2} \left(3 x+x \log ^2(x)+20\right)^2","5 e^{x^2} \left(x-\left(x \left(-\log ^2(x)-2\right)\right)+20\right)^2",1,"5*E^x^2*(20 + 3*x + x*Log[x]^2)^2","A",1
500,1,16,22,0.0034005,"\int \frac{-2 x^2+(-1+x) \log (4)+x \log (30)}{x} \, dx","Integrate[(-2*x^2 + (-1 + x)*Log[4] + x*Log[30])/x,x]","-x^2+x \log (120)-\log (4) \log (x)","x \left(-x-\frac{\log (4) (-x+\log (x)+7)}{x}+\log (30)\right)",1,"-x^2 + x*Log[120] - Log[4]*Log[x]","A",1
501,1,28,21,0.0274404,"\int \frac{1}{4} \left(1+80 x+24 x^2+e^x \left(-20-28 x-4 x^2\right)\right) \, dx","Integrate[(1 + 80*x + 24*x^2 + E^x*(-20 - 28*x - 4*x^2))/4,x]","2 x^3+10 x^2-e^x \left(x^2+5 x\right)+\frac{x}{4}","x (x+5) \left(2 x-e^x+\frac{1}{4 x}\right)",1,"x/4 + 10*x^2 + 2*x^3 - E^x*(5*x + x^2)","A",1
502,1,8,14,0.0026012,"\int \frac{6-x}{-5+x} \, dx","Integrate[(6 - x)/(-5 + x),x]","\log (x-5)-x","-x+\log (x-5)+e^4-8+\log (2)",1,"-x + Log[-5 + x]","A",1
503,1,20,30,1.7347003,"\int \frac{\exp \left(-5+e^{e^{\frac{x^2+e^5 \left(4-3 x-2 x^2\right)}{e^5 x}}}+e^{\frac{x^2+e^5 \left(4-3 x-2 x^2\right)}{e^5 x}}+\frac{x^2+e^5 \left(4-3 x-2 x^2\right)}{e^5 x}\right) \left(x^2+e^5 \left(-4-2 x^2\right)\right)}{x^2} \, dx","Integrate[(E^(-5 + E^E^((x^2 + E^5*(4 - 3*x - 2*x^2))/(E^5*x)) + E^((x^2 + E^5*(4 - 3*x - 2*x^2))/(E^5*x)) + (x^2 + E^5*(4 - 3*x - 2*x^2))/(E^5*x))*(x^2 + E^5*(-4 - 2*x^2)))/x^2,x]","e^{e^{e^{\left(\frac{1}{e^5}-2\right) x+\frac{4}{x}-3}}}","e^{e^{e^{-2 x+\frac{x-\frac{e^5}{x}}{e^5}+\frac{5}{x}-3}}}",1,"E^E^E^(-3 + 4/x + (-2 + E^(-5))*x)","A",1
504,1,14,22,0.0136417,"\int \left(-2 e^{e^4-2 x}+4 \log (5)\right) \, dx","Integrate[-2*E^(E^4 - 2*x) + 4*Log[5],x]","e^{e^4-2 x}+x \log (625)","e^{e^4-2 x}+3 x \log (5)+(x+2) \log (5)+3",1,"E^(E^4 - 2*x) + x*Log[625]","A",1
505,1,30,23,0.3898321,"\int \frac{e^{3 e^{\frac{3}{x^2}}} x^3+e^{2 e^{\frac{3}{x^2}}} \left(144 e^{\frac{3}{x^2}}-36 x^2\right)}{-1728+432 e^{e^{\frac{3}{x^2}}} x-36 e^{2 e^{\frac{3}{x^2}}} x^2+e^{3 e^{\frac{3}{x^2}}} x^3} \, dx","Integrate[(E^(3*E^(3/x^2))*x^3 + E^(2*E^(3/x^2))*(144*E^(3/x^2) - 36*x^2))/(-1728 + 432*E^E^(3/x^2)*x - 36*E^(2*E^(3/x^2))*x^2 + E^(3*E^(3/x^2))*x^3),x]","\frac{e^{2 e^{\frac{3}{x^2}}} x^3}{\left(e^{e^{\frac{3}{x^2}}} x-12\right)^2}","\frac{x^3}{\left(12 e^{-e^{\frac{3}{x^2}}}-x\right)^2}",1,"(E^(2*E^(3/x^2))*x^3)/(-12 + E^E^(3/x^2)*x)^2","A",1
506,1,22,22,0.4708656,"\int \frac{e^x (-60+20 x)+e^x \left(200 x-60 x^2\right) \log (x)+e^x \left(60 x-100 x^2+20 x^3\right) \log ^2(x)}{\left(9 x-6 x^2+x^3\right) \log ^2(x)+\left(-18 x^2+12 x^3-2 x^4\right) \log ^3(x)+\left(9 x^3-6 x^4+x^5\right) \log ^4(x)} \, dx","Integrate[(E^x*(-60 + 20*x) + E^x*(200*x - 60*x^2)*Log[x] + E^x*(60*x - 100*x^2 + 20*x^3)*Log[x]^2)/((9*x - 6*x^2 + x^3)*Log[x]^2 + (-18*x^2 + 12*x^3 - 2*x^4)*Log[x]^3 + (9*x^3 - 6*x^4 + x^5)*Log[x]^4),x]","\frac{20 e^x}{(x-3) \log (x) (x \log (x)-1)}","\frac{20 e^x}{(x-3) \log (x) (x \log (x)-1)}",1,"(20*E^x)/((-3 + x)*Log[x]*(-1 + x*Log[x]))","A",1
507,1,28,23,0.0608569,"\int \frac{e^{-x^2} \left(1+4 e^{4 x}+e^{2 x} (-2-4 x)+2 x+\left(-38 x-2 e^{4 x} x-2 x^2+4 e^{2 x} x^2-2 x^3\right) \log \left(19+e^{4 x}+x-2 e^{2 x} x+x^2\right)\right)}{19+e^{4 x}+x-2 e^{2 x} x+x^2} \, dx","Integrate[(1 + 4*E^(4*x) + E^(2*x)*(-2 - 4*x) + 2*x + (-38*x - 2*E^(4*x)*x - 2*x^2 + 4*E^(2*x)*x^2 - 2*x^3)*Log[19 + E^(4*x) + x - 2*E^(2*x)*x + x^2])/(E^x^2*(19 + E^(4*x) + x - 2*E^(2*x)*x + x^2)),x]","e^{-x^2} \log \left(x^2-2 e^{2 x} x+x+e^{4 x}+19\right)","e^{-x^2} \log \left(\left(x-e^{2 x}\right)^2+x+19\right)",1,"Log[19 + E^(4*x) + x - 2*E^(2*x)*x + x^2]/E^x^2","A",1
508,1,17,19,0.0258401,"\int \left(2 e^{x^2} x+e^{4 e^x} \left(6 x^5+4 e^x x^6\right)\right) \, dx","Integrate[2*E^x^2*x + E^(4*E^x)*(6*x^5 + 4*E^x*x^6),x]","e^{4 e^x} x^6+e^{x^2}","e^{4 e^x} x^6+e^{x^2}+\log (2)",1,"E^x^2 + E^(4*E^x)*x^6","A",1
509,1,22,25,0.0291695,"\int \frac{\left(-36 x+x^2\right) \log (\log (2))+\left(72-x+\left(-72 x+x^2\right) \log (\log (2))\right) \log (-1+x \log (\log (2)))}{\left(36 x-x^2+\left(-36 x^2+x^3\right) \log (\log (2))\right) \log (-1+x \log (\log (2)))} \, dx","Integrate[((-36*x + x^2)*Log[Log[2]] + (72 - x + (-72*x + x^2)*Log[Log[2]])*Log[-1 + x*Log[Log[2]]])/((36*x - x^2 + (-36*x^2 + x^3)*Log[Log[2]])*Log[-1 + x*Log[Log[2]]]),x]","-\log (36-x)+2 \log (x)+\log (\log (x \log (\log (2))-1))","\log \left(\frac{x^2 \log (x \log (\log (2))-1)}{3 \left(\frac{x}{4}-9\right)}\right)",1,"-Log[36 - x] + 2*Log[x] + Log[Log[-1 + x*Log[Log[2]]]]","A",1
510,1,18,26,0.0219621,"\int e^{-x} \left(4 e^x x+e^{-3+x+x^2} \left(8 x^3+4 x^5\right)\right) \, dx","Integrate[(4*E^x*x + E^(-3 + x + x^2)*(8*x^3 + 4*x^5))/E^x,x]","2 x^2+2 e^{x^2-3} x^4","2 e^{-x} x^2 \left(e^{x^2+x-3} x^2+e^x\right)",1,"2*x^2 + 2*E^(-3 + x^2)*x^4","A",1
511,1,37,29,0.0328483,"\int \frac{36-108 x+216 x^2-126 x^3-72 x^5-18 x^6}{\left(3 x-12 x^2+36 x^3-42 x^4+43 x^5+24 x^6+3 x^7+x^5 \log (2)\right) \log ^2\left(\frac{3-12 x+36 x^2-42 x^3+43 x^4+24 x^5+3 x^6+x^4 \log (2)}{x^4}\right)} \, dx","Integrate[(36 - 108*x + 216*x^2 - 126*x^3 - 72*x^5 - 18*x^6)/((3*x - 12*x^2 + 36*x^3 - 42*x^4 + 43*x^5 + 24*x^6 + 3*x^7 + x^5*Log[2])*Log[(3 - 12*x + 36*x^2 - 42*x^3 + 43*x^4 + 24*x^5 + 3*x^6 + x^4*Log[2])/x^4]^2),x]","\frac{3}{\log \left(\frac{3}{x^4}-\frac{12}{x^3}+3 x^2+\frac{36}{x^2}+24 x-\frac{42}{x}+43+\log (2)\right)}","\frac{3}{\log \left(3 \left(\left(\frac{(1-x)^2}{x^2}+x+3\right)^2+1\right)+4+\log (2)\right)}",1,"3/Log[43 + 3/x^4 - 12/x^3 + 36/x^2 - 42/x + 24*x + 3*x^2 + Log[2]]","A",1
512,1,10,10,0.0336514,"\int \frac{e^{\frac{1-6 x+x^2}{x}} \left(-16+16 x^2\right)}{x^2} \, dx","Integrate[(E^((1 - 6*x + x^2)/x)*(-16 + 16*x^2))/x^2,x]","16 e^{x+\frac{1}{x}-6}","16 e^{x+\frac{1}{x}-6}",1,"16*E^(-6 + x^(-1) + x)","A",1
513,1,27,30,2.7913281,"\int \frac{\exp \left(-x+\frac{e^{-x} \left(-3 x^3+3 e^x x^4+e^x \left(x-x^2\right) \log (x)\right)}{\log (x)}\right) \left(3 x^2-3 e^x x^3+\left(-9 x^2+3 x^3+12 e^x x^3\right) \log (x)+e^x (1-2 x) \log ^2(x)\right)}{\log ^2(x)} \, dx","Integrate[(E^(-x + (-3*x^3 + 3*E^x*x^4 + E^x*(x - x^2)*Log[x])/(E^x*Log[x]))*(3*x^2 - 3*E^x*x^3 + (-9*x^2 + 3*x^3 + 12*E^x*x^3)*Log[x] + E^x*(1 - 2*x)*Log[x]^2))/Log[x]^2,x]","e^{-\frac{3 \left(e^{-x}-x\right) x^3}{\log (x)}-x^2+x}","e^{-x^2+\frac{3 \left(x^2-e^{-x} x\right) x^2}{\log (x)}+x}",1,"E^(x - x^2 - (3*(E^(-x) - x)*x^3)/Log[x])","A",1
514,1,29,21,0.6218992,"\int \frac{-18 x^3+9 x^4+2 x^5+e^{\frac{1+2 x \log (6+x)+x^2 \log ^2(6+x)}{x^2}} \left(-12-2 x+2 x^2+\left(-12 x-2 x^2+2 x^3\right) \log (6+x)\right)}{6 x^3+x^4} \, dx","Integrate[(-18*x^3 + 9*x^4 + 2*x^5 + E^((1 + 2*x*Log[6 + x] + x^2*Log[6 + x]^2)/x^2)*(-12 - 2*x + 2*x^2 + (-12*x - 2*x^2 + 2*x^3)*Log[6 + x]))/(6*x^3 + x^4),x]","x^2+(x+6)^{2/x} e^{\frac{1}{x^2}+\log ^2(x+6)}-3 x","e^{\left(\frac{1}{x}+\log (x+6)\right)^2}-(3-x) x",1,"-3*x + x^2 + E^(x^(-2) + Log[6 + x]^2)*(6 + x)^(2/x)","A",1
515,1,24,25,0.3908439,"\int \frac{4+8 e^{2 x}+e^x (12+4 x)-750 \log ^2(5)+\left(-2250 \log ^2(5)-3000 e^x \log ^2(5)\right) \log (x)+281250 \log ^4(5) \log ^2(x)}{4+8 e^x+4 e^{2 x}+\left(-1500 \log ^2(5)-1500 e^x \log ^2(5)\right) \log (x)+140625 \log ^4(5) \log ^2(x)} \, dx","Integrate[(4 + 8*E^(2*x) + E^x*(12 + 4*x) - 750*Log[5]^2 + (-2250*Log[5]^2 - 3000*E^x*Log[5]^2)*Log[x] + 281250*Log[5]^4*Log[x]^2)/(4 + 8*E^x + 4*E^(2*x) + (-1500*Log[5]^2 - 1500*E^x*Log[5]^2)*Log[x] + 140625*Log[5]^4*Log[x]^2),x]","2 x+\frac{2 x}{-2 e^x+375 \log ^2(5) \log (x)-2}","2 x+\frac{x}{-e^x+\frac{375}{2} \log ^2(5) \log (x)-1}",1,"2*x + (2*x)/(-2 - 2*E^x + 375*Log[5]^2*Log[x])","A",1
516,1,29,28,0.2556703,"\int \frac{16 x^5-8 x^6+e^{\frac{-16 x+\log ^2(-2+x)}{x}} \left(16 x-8 x^2+8 x \log (-2+x)+(8-4 x) \log ^2(-2+x)\right)}{-10 x^4+5 x^5} \, dx","Integrate[(16*x^5 - 8*x^6 + E^((-16*x + Log[-2 + x]^2)/x)*(16*x - 8*x^2 + 8*x*Log[-2 + x] + (8 - 4*x)*Log[-2 + x]^2))/(-10*x^4 + 5*x^5),x]","\frac{1}{5} \left(\frac{4 e^{\frac{\log ^2(x-2)}{x}-16}}{x^2}-4 x^2\right)","\frac{4}{5} \left(\frac{e^{\frac{\log ^2(x-2)}{x}-16}}{x^2}-x^2\right)",1,"((4*E^(-16 + Log[-2 + x]^2/x))/x^2 - 4*x^2)/5","A",1
517,1,53,21,0.0406848,"\int \frac{-16-16 e^4-8 x^2}{400+1384 x+797 x^2-692 x^3+100 x^4+e^8 \left(400-200 x+25 x^2\right)+e^4 \left(800+1184 x-746 x^2+100 x^3\right)} \, dx","Integrate[(-16 - 16*E^4 - 8*x^2)/(400 + 1384*x + 797*x^2 - 692*x^3 + 100*x^4 + E^8*(400 - 200*x + 25*x^2) + E^4*(800 + 1184*x - 746*x^2 + 100*x^3)),x]","-8 \left(\frac{1}{8} \log \left(2 (x-4)+e^4+9\right)-\frac{1}{8} \log \left(50 (x-4)^2+25 e^4 (x-4)+229 (x-4)+16\right)+\frac{1}{8} \log (x-4)\right)","\log \left(\frac{4 x}{(x-4) \left(2 x+e^4+1\right)}+25\right)",1,"-8*(Log[9 + E^4 + 2*(-4 + x)]/8 - Log[16 + 229*(-4 + x) + 25*E^4*(-4 + x) + 50*(-4 + x)^2]/8 + Log[-4 + x]/8)","B",1
518,1,37,29,0.1129475,"\int \frac{-495+2775 x-804 x^2-146 x^3+70 x^4-6 x^5+e \left(-125+825 x-465 x^2+91 x^3-6 x^4\right)+\left(-1485+522 x+45 x^2-33 x^3+3 x^4+e \left(-375+225 x-45 x^2+3 x^3\right)\right) \log \left(\frac{99-15 x-6 x^2+x^3+e \left(25-10 x+x^2\right)}{25-10 x+x^2}\right)}{-495+174 x+15 x^2-11 x^3+x^4+e \left(-125+75 x-15 x^2+x^3\right)} \, dx","Integrate[(-495 + 2775*x - 804*x^2 - 146*x^3 + 70*x^4 - 6*x^5 + E*(-125 + 825*x - 465*x^2 + 91*x^3 - 6*x^4) + (-1485 + 522*x + 45*x^2 - 33*x^3 + 3*x^4 + E*(-375 + 225*x - 45*x^2 + 3*x^3))*Log[(99 - 15*x - 6*x^2 + x^3 + E*(25 - 10*x + x^2))/(25 - 10*x + x^2)])/(-495 + 174*x + 15*x^2 - 11*x^3 + x^4 + E*(-125 + 75*x - 15*x^2 + x^3)),x]","-3 x^2+3 x \log \left(\frac{x^3-6 x^2-15 x+e (x-5)^2+99}{(x-5)^2}\right)+x","x \left(3 \left(-x-\frac{2}{x}+\log \left(x-\frac{1}{(5-x)^2}+e+4\right)\right)+1\right)",1,"x - 3*x^2 + 3*x*Log[(99 + E*(-5 + x)^2 - 15*x - 6*x^2 + x^3)/(-5 + x)^2]","A",1
519,1,30,31,0.1541246,"\int \frac{e^{\frac{5+e^{\frac{15-5 x+5 x^2}{2+x}}+x-x^2}{x}} \left(-20-20 x-9 x^2-4 x^3-x^4+e^{\frac{15-5 x+5 x^2}{2+x}} \left(-4-29 x+19 x^2+5 x^3\right)\right)}{4 x^2+4 x^3+x^4} \, dx","Integrate[(E^((5 + E^((15 - 5*x + 5*x^2)/(2 + x)) + x - x^2)/x)*(-20 - 20*x - 9*x^2 - 4*x^3 - x^4 + E^((15 - 5*x + 5*x^2)/(2 + x))*(-4 - 29*x + 19*x^2 + 5*x^3)))/(4*x^2 + 4*x^3 + x^4),x]","e^{-x+\frac{e^{5 x+\frac{45}{x+2}-15}}{x}+\frac{5}{x}+1}","e^{\frac{-x^2+e^{\frac{5 \left(x^2-x+3\right)}{x+2}}+x+5}{x}}",1,"E^(1 + 5/x + E^(-15 + 5*x + 45/(2 + x))/x - x)","A",1
520,1,13,14,0.0148651,"\int \frac{-2+x-2 e^{10-2 x} x}{x} \, dx","Integrate[(-2 + x - 2*E^(10 - 2*x)*x)/x,x]","x+e^{10-2 x}-2 \log (x)","x+e^{10-2 x}-2 \log (x)+1",1,"E^(10 - 2*x) + x - 2*Log[x]","A",1
521,1,17,26,0.1604934,"\int \frac{-5-2 x+\log (8)-2 x \log (x) \log (\log (x))}{\left(25 x+20 x^2+4 x^3+\left(-10 x-4 x^2\right) \log (8)+x \log ^2(8)\right) \log (x) \log ^2(\log (x))} \, dx","Integrate[(-5 - 2*x + Log[8] - 2*x*Log[x]*Log[Log[x]])/((25*x + 20*x^2 + 4*x^3 + (-10*x - 4*x^2)*Log[8] + x*Log[8]^2)*Log[x]*Log[Log[x]]^2),x]","\frac{1}{(2 x+5-\log (8)) \log (\log (x))}","\frac{\frac{x}{(2 x+5-\log (8)) \log (\log (x))}-2 x}{x}",1,"1/((5 + 2*x - Log[8])*Log[Log[x]])","A",1
522,1,26,27,0.3151305,"\int \frac{e^x \left(-25+235 x+109 x^2+13 x^3+\left(-20 x-20 x^2-4 x^3\right) \log (2)\right)+e^x \left(-25 x-10 x^2-x^3\right) \log (x)}{125 x+50 x^2+5 x^3} \, dx","Integrate[(E^x*(-25 + 235*x + 109*x^2 + 13*x^3 + (-20*x - 20*x^2 - 4*x^3)*Log[2]) + E^x*(-25*x - 10*x^2 - x^3)*Log[x])/(125*x + 50*x^2 + 5*x^3),x]","-\frac{e^x (x (\log (16)-13)+(x+5) \log (x)-45)}{5 (x+5)}","\frac{1}{5} e^x \left(\frac{4 x (1-\log (2))}{x+5}-\log (x)+9\right)",1,"-1/5*(E^x*(-45 + x*(-13 + Log[16]) + (5 + x)*Log[x]))/(5 + x)","A",1
523,1,52,22,0.0074644,"\int \frac{-12 x+42 x^2-54 x^3+36 x^4+e^5 \left(-4+6 x-6 x^2\right)+\left(2 e^{10}+e^5 \left(6 x-12 x^2\right)\right) \log (x)}{x} \, dx","Integrate[(-12*x + 42*x^2 - 54*x^3 + 36*x^4 + E^5*(-4 + 6*x - 6*x^2) + (2*E^10 + E^5*(6*x - 12*x^2))*Log[x])/x,x]","9 x^4-18 x^3+21 x^2-6 e^5 x^2 \log (x)-12 x+e^{10} \log ^2(x)+6 e^5 x \log (x)-4 e^5 \log (x)","\left((3-3 x) x+e^5 \log (x)-2\right)^2+\log ^2(30)",1,"-12*x + 21*x^2 - 18*x^3 + 9*x^4 - 4*E^5*Log[x] + 6*E^5*x*Log[x] - 6*E^5*x^2*Log[x] + E^10*Log[x]^2","B",1
524,1,25,27,0.1807073,"\int \frac{e^{4-x} \left(-6+6 x-2 x^2-x^3+x^4\right)}{180+60 x-175 x^2+30 x^3+55 x^4-30 x^5+5 x^6} \, dx","Integrate[(E^(4 - x)*(-6 + 6*x - 2*x^2 - x^3 + x^4))/(180 + 60*x - 175*x^2 + 30*x^3 + 55*x^4 - 30*x^5 + 5*x^6),x]","-\frac{e^{4-x} x}{5 \left(x^3-3 x^2+x+6\right)}","-\frac{e^{4-x} x}{5 \left(-\left((3-x) x^2\right)+x+6\right)}",1,"-1/5*(E^(4 - x)*x)/(6 + x - 3*x^2 + x^3)","A",1
525,1,25,23,0.2310697,"\int \frac{e^{-4 x} \left(e^4 (-2430-1944 x)+e^{4+x} \left(1944 x^2+1944 x^3\right) \log (5)+e^{4+2 x} \left(-324 x^4-648 x^5\right) \log ^2(5)+e^{4+3 x} \left(-72 x^6+72 x^7\right) \log ^3(5)+18 e^{4+4 x} x^8 \log ^4(5)\right)}{x^6} \, dx","Integrate[(E^4*(-2430 - 1944*x) + E^(4 + x)*(1944*x^2 + 1944*x^3)*Log[5] + E^(4 + 2*x)*(-324*x^4 - 648*x^5)*Log[5]^2 + E^(4 + 3*x)*(-72*x^6 + 72*x^7)*Log[5]^3 + 18*E^(4 + 4*x)*x^8*Log[5]^4)/(E^(4*x)*x^6),x]","\frac{6 e^{4-4 x} \left(e^x x^2 \log (5)-3\right)^4}{x^5}","6 e^4 x^3 \left(\log (5)-\frac{3 e^{-x}}{x^2}\right)^4",1,"(6*E^(4 - 4*x)*(-3 + E^x*x^2*Log[5])^4)/x^5","A",1
526,1,102,24,0.1387536,"\int \frac{1}{100} \left(-100+e^{\frac{1}{5} \left(e^{\frac{1}{20} (-20+3 x)}+10 x\right)} \left(200+3 e^{\frac{1}{20} (-20+3 x)}\right)\right) \, dx","Integrate[(-100 + E^((E^((-20 + 3*x)/20) + 10*x)/5)*(200 + 3*E^((-20 + 3*x)/20)))/100,x]","-x-\frac{48828125000}{3} \sqrt[3]{5} e^{\frac{40}{3}-\frac{x}{10}} \left(-e^{3 x/20}\right)^{2/3} \Gamma \left(\frac{40}{3},-\frac{1}{5} e^{\frac{3 x}{20}-1}\right)+1220703125 \sqrt[3]{5} e^{\frac{40}{3}-\frac{x}{10}} \left(-e^{3 x/20}\right)^{2/3} \Gamma \left(\frac{43}{3},-\frac{1}{5} e^{\frac{3 x}{20}-1}\right)","-x+e^{2 x+\frac{1}{5} e^{\frac{3 x}{20}-1}}+3",1,"-x - (48828125000*5^(1/3)*E^(40/3 - x/10)*(-E^((3*x)/20))^(2/3)*Gamma[40/3, -1/5*E^(-1 + (3*x)/20)])/3 + 1220703125*5^(1/3)*E^(40/3 - x/10)*(-E^((3*x)/20))^(2/3)*Gamma[43/3, -1/5*E^(-1 + (3*x)/20)]","C",1
527,1,10,12,0.0039009,"\int \left(8752+e^x (-4-4 x)\right) \, dx","Integrate[8752 + E^x*(-4 - 4*x),x]","8752 x-4 e^x x","4 \left(2188 x-e^x x\right)",1,"8752*x - 4*E^x*x","A",1
528,1,100,30,0.2300858,"\int \frac{e^{-4 e^3+x} \left(-32 x+16 x^2-2 x^3\right)+\left(-16+20 x-4 x^2\right) \log \left(e^{-x} x\right)-2 x \log ^2\left(e^{-x} x\right)}{16 x-8 x^2+x^3} \, dx","Integrate[(E^(-4*E^3 + x)*(-32*x + 16*x^2 - 2*x^3) + (-16 + 20*x - 4*x^2)*Log[x/E^x] - 2*x*Log[x/E^x]^2)/(16*x - 8*x^2 + x^3),x]","-\frac{4 x^2+x^2 \log (4)-2 e^{x-4 e^3} x-24 x+8 e^{x-4 e^3}+2 \log ^2\left(e^{-x} x\right)-x \log (256)+(-(x (4+\log (4)))+16+\log (256)) \log (x)+(x (4+\log (4))-16-\log (256)) \log \left(e^{-x} x\right)+32}{4-x}","2 \left(\frac{\log ^2\left(e^{-x} x\right)}{x-4}-e^{x-4 e^3}\right)",1,"-((32 + 8*E^(-4*E^3 + x) - 24*x - 2*E^(-4*E^3 + x)*x + 4*x^2 + x^2*Log[4] - x*Log[256] + (16 - x*(4 + Log[4]) + Log[256])*Log[x] + (-16 + x*(4 + Log[4]) - Log[256])*Log[x/E^x] + 2*Log[x/E^x]^2)/(4 - x))","B",1
529,1,27,33,0.9686961,"\int \frac{e^{3-x-\frac{e^{3-x} \left(1+5 e^{-3+x} x\right)}{x}} \left(-1-x-e^{-3+x} x+6 e^{-3+x+\frac{e^{3-x} \left(1+5 e^{-3+x} x\right)}{x}} x\right)}{5 x} \, dx","Integrate[(E^(3 - x - (E^(3 - x)*(1 + 5*E^(-3 + x)*x))/x)*(-1 - x - E^(-3 + x)*x + 6*E^(-3 + x + (E^(3 - x)*(1 + 5*E^(-3 + x)*x))/x)*x))/(5*x),x]","\frac{1}{5} \left(6 x-e^{-\frac{e^{3-x}}{x}-5} x\right)","x+\frac{1}{5} \left(x-e^{-\frac{e^{3-x}}{x}-5} x\right)-e^3-1",1,"(6*x - E^(-5 - E^(3 - x)/x)*x)/5","A",1
530,1,18,33,0.0176983,"\int \frac{-32-68 x-66 x^2}{\left(16 x+17 x^2+11 x^3\right) \log ^2\left(-32 x-34 x^2-22 x^3\right)} \, dx","Integrate[(-32 - 68*x - 66*x^2)/((16*x + 17*x^2 + 11*x^3)*Log[-32*x - 34*x^2 - 22*x^3]^2),x]","\frac{2}{\log \left(-2 x \left(11 x^2+17 x+16\right)\right)}","\frac{2}{\log \left(4 x \left((4-x) x+\frac{1}{2} \left(-(3 x+4)^2-x\right)\right)\right)}",1,"2/Log[-2*x*(16 + 17*x + 11*x^2)]","A",1
531,1,26,23,0.1870619,"\int \frac{-86+28 x-2 x^2+e^x \left(-56+22 x-2 x^2\right)+(-46+10 x) \log (x)}{92-40 x+4 x^2+e^x \left(23-10 x+x^2\right)+\left(23 x-10 x^2+x^3\right) \log (x)} \, dx","Integrate[(-86 + 28*x - 2*x^2 + E^x*(-56 + 22*x - 2*x^2) + (-46 + 10*x)*Log[x])/(92 - 40*x + 4*x^2 + E^x*(23 - 10*x + x^2) + (23*x - 10*x^2 + x^3)*Log[x]),x]","-2 \left(\log \left(e^x+x \log (x)+4\right)-\frac{1}{2} \log \left(x^2-10 x+23\right)\right)","\log \left(\frac{16 \left(2-(x-5)^2\right)}{\left(e^x+x \log (x)+4\right)^2}\right)",1,"-2*(-1/2*Log[23 - 10*x + x^2] + Log[4 + E^x + x*Log[x]])","A",1
532,1,12,12,0.0014598,"\int \frac{-1-\log (x)}{x^2} \, dx","Integrate[(-1 - Log[x])/x^2,x]","\frac{2}{x}+\frac{\log (x)}{x}","\frac{2 x+x \log (x)}{x^2}",1,"2/x + Log[x]/x","A",1
533,0,0,25,2.1510561,"\int \frac{x^2+2 x \log (3)+\log ^2(3)+e^x (-4+4 x+4 \log (3)) \log (\log (4))}{5 x^2+x^3+\left(10 x+2 x^2\right) \log (3)+(5+x) \log ^2(3)+\left(16 x^2+32 x \log (3)+16 \log ^2(3)+e^x (4 x+4 \log (3))\right) \log (\log (4))} \, dx","Integrate[(x^2 + 2*x*Log[3] + Log[3]^2 + E^x*(-4 + 4*x + 4*Log[3])*Log[Log[4]])/(5*x^2 + x^3 + (10*x + 2*x^2)*Log[3] + (5 + x)*Log[3]^2 + (16*x^2 + 32*x*Log[3] + 16*Log[3]^2 + E^x*(4*x + 4*Log[3]))*Log[Log[4]]),x]","\int \frac{x^2+2 x \log (3)+\log ^2(3)+e^x (-4+4 x+4 \log (3)) \log (\log (4))}{5 x^2+x^3+\left(10 x+2 x^2\right) \log (3)+(5+x) \log ^2(3)+\left(16 x^2+32 x \log (3)+16 \log ^2(3)+e^x (4 x+4 \log (3))\right) \log (\log (4))} \, dx","\log \left(\frac{x+5}{4 \log (\log (4))}+\frac{e^x}{x+\log (3)}+4\right)",1,"Integrate[(x^2 + 2*x*Log[3] + Log[3]^2 + E^x*(-4 + 4*x + 4*Log[3])*Log[Log[4]])/(5*x^2 + x^3 + (10*x + 2*x^2)*Log[3] + (5 + x)*Log[3]^2 + (16*x^2 + 32*x*Log[3] + 16*Log[3]^2 + E^x*(4*x + 4*Log[3]))*Log[Log[4]]), x]","F",-1
534,1,71,20,0.1594623,"\int \frac{\left(-520+944 x-656 x^2+156 x^3+40 x^4-28 x^5+4 x^6+e^{2 x} \left(-128+320 x-320 x^2+160 x^3-40 x^4+4 x^5\right)+e^x \left(-576+1232 x-992 x^2+324 x^3-24 x^5+4 x^6\right)\right) \log \left(\frac{185-240 x+62 x^2+34 x^3-14 x^4-2 x^5+x^6+e^{2 x} \left(16-32 x+24 x^2-8 x^3+x^4\right)+e^x \left(104-168 x+82 x^2-10 x^4+2 x^5\right)}{16-32 x+24 x^2-8 x^3+x^4}\right)}{-370+665 x-364 x^2-6 x^3+62 x^4-10 x^5-4 x^6+x^7+e^{2 x} \left(-32+80 x-80 x^2+40 x^3-10 x^4+x^5\right)+e^x \left(-208+440 x-332 x^2+82 x^3+20 x^4-14 x^5+2 x^6\right)} \, dx","Integrate[((-520 + 944*x - 656*x^2 + 156*x^3 + 40*x^4 - 28*x^5 + 4*x^6 + E^(2*x)*(-128 + 320*x - 320*x^2 + 160*x^3 - 40*x^4 + 4*x^5) + E^x*(-576 + 1232*x - 992*x^2 + 324*x^3 - 24*x^5 + 4*x^6))*Log[(185 - 240*x + 62*x^2 + 34*x^3 - 14*x^4 - 2*x^5 + x^6 + E^(2*x)*(16 - 32*x + 24*x^2 - 8*x^3 + x^4) + E^x*(104 - 168*x + 82*x^2 - 10*x^4 + 2*x^5))/(16 - 32*x + 24*x^2 - 8*x^3 + x^4)])/(-370 + 665*x - 364*x^2 - 6*x^3 + 62*x^4 - 10*x^5 - 4*x^6 + x^7 + E^(2*x)*(-32 + 80*x - 80*x^2 + 40*x^3 - 10*x^4 + x^5) + E^x*(-208 + 440*x - 332*x^2 + 82*x^3 + 20*x^4 - 14*x^5 + 2*x^6)),x]","\log ^2\left(\frac{x^6-2 x^5-14 x^4+34 x^3+62 x^2+2 e^x (x-2)^2 \left(x^3-x^2-8 x+13\right)-240 x+e^{2 x} (x-2)^4+185}{(x-2)^4}\right)","\log ^2\left(\left(x+e^x+\frac{1}{(x-2)^2}+3\right)^2+1\right)-3",1,"Log[(185 + E^(2*x)*(-2 + x)^4 - 240*x + 62*x^2 + 34*x^3 - 14*x^4 - 2*x^5 + x^6 + 2*E^x*(-2 + x)^2*(13 - 8*x - x^2 + x^3))/(-2 + x)^4]^2","B",1
535,1,20,25,0.1309828,"\int \frac{-16-16 x+5 x^2+\left(-20 x+5 x^2\right) \log (x)+\left(-16-12 x+10 x^2\right) \log (x) \log \left(\frac{1}{9} (-4-5 x) \log (x)\right)}{(36+45 x) \log (x)} \, dx","Integrate[(-16 - 16*x + 5*x^2 + (-20*x + 5*x^2)*Log[x] + (-16 - 12*x + 10*x^2)*Log[x]*Log[((-4 - 5*x)*Log[x])/9])/((36 + 45*x)*Log[x]),x]","\frac{1}{9} (x-4) x \log \left(-\frac{1}{9} (5 x+4) \log (x)\right)","\frac{1}{9} (x-4) x \log \left(\left(\frac{1}{9} (4 x-4)-x\right) \log (x)\right)",1,"((-4 + x)*x*Log[-1/9*((4 + 5*x)*Log[x])])/9","A",1
536,1,47,29,0.0455867,"\int \frac{e^x x^5+e^{-6 x+56 x^2} \left(-4-6 x+112 x^2\right)+e^{-6 x+29 x^2} \left(6 x+12 x^2-116 x^3\right)+e^{-6 x+2 x^2} \left(-2 x^2-6 x^3+4 x^4\right)}{x^5} \, dx","Integrate[(E^x*x^5 + E^(-6*x + 56*x^2)*(-4 - 6*x + 112*x^2) + E^(-6*x + 29*x^2)*(6*x + 12*x^2 - 116*x^3) + E^(-6*x + 2*x^2)*(-2*x^2 - 6*x^3 + 4*x^4))/x^5,x]","\frac{e^{-6 x} \left(e^{7 x} x^4+e^{2 x^2} x^2-2 e^{29 x^2} x+e^{56 x^2}\right)}{x^4}","\frac{e^{2 (x-3) x} \left(x-e^{27 x^2}\right)^2}{x^4}+e^x",1,"(E^(56*x^2) - 2*E^(29*x^2)*x + E^(2*x^2)*x^2 + E^(7*x)*x^4)/(E^(6*x)*x^4)","A",1
537,1,22,22,0.0700103,"\int \frac{1}{25} e^{-2+\frac{-50 e^2+25 e^{2+x}+x^4}{25 e^2}} \left(450 e^2 x+225 e^{2+x} x^2+36 x^5\right) \, dx","Integrate[(E^(-2 + (-50*E^2 + 25*E^(2 + x) + x^4)/(25*E^2))*(450*E^2*x + 225*E^(2 + x)*x^2 + 36*x^5))/25,x]","9 e^{\frac{x^4}{25 e^2}+e^x-2} x^2","9 e^{\frac{x^4}{25 e^2}+e^x-2} x^2",1,"9*E^(-2 + E^x + x^4/(25*E^2))*x^2","A",1
538,1,22,20,0.0964518,"\int \frac{1}{4} \left(47 x+24 x^2+e^{5-x} \left(96 x^2-32 x^3\right)\right) \, dx","Integrate[(47*x + 24*x^2 + E^(5 - x)*(96*x^2 - 32*x^3))/4,x]","\frac{1}{8} x^2 \left(\left(64 e^{5-x}+16\right) x+47\right)","2 x^2 \left(4 e^{5-x} x+x+\frac{47}{16}\right)",1,"(x^2*(47 + (16 + 64*E^(5 - x))*x))/8","A",1
539,1,53,11,0.0177714,"\int \frac{(2+4 x) \log \left(\frac{1}{16} \left(x+x^2\right)\right)}{x+x^2} \, dx","Integrate[((2 + 4*x)*Log[(x + x^2)/16])/(x + x^2),x]","2 \log \left(\frac{1}{16} \left(x^2+x\right)\right) \log (x)+2 \log (x+1) \log \left(\frac{1}{16} \left(x^2+x\right)\right)-\log ^2(x)-\log ^2(x+1)-2 \log (x+1) \log (x)","\log ^2\left(\frac{1}{16} x (x+1)\right)",1,"-Log[x]^2 - 2*Log[x]*Log[1 + x] - Log[1 + x]^2 + 2*Log[x]*Log[(x + x^2)/16] + 2*Log[1 + x]*Log[(x + x^2)/16]","B",1
540,1,20,23,0.1654632,"\int \frac{-1-3 x-x^2 \log (3)+\left(-18-3 x+\left(-12 x-2 x^2\right) \log (3)\right) \log (6+x) \log (\log (6+x))}{(30+5 x) \log (6+x)} \, dx","Integrate[(-1 - 3*x - x^2*Log[3] + (-18 - 3*x + (-12*x - 2*x^2)*Log[3])*Log[6 + x]*Log[Log[6 + x]])/((30 + 5*x)*Log[6 + x]),x]","-\frac{1}{5} \left(x^2 \log (3)+3 x+1\right) \log (\log (x+6))","\frac{1}{5} (-x-(x (x \log (3)+2))-1) \log (\log (x+6))",1,"-1/5*((1 + 3*x + x^2*Log[3])*Log[Log[6 + x]])","A",1
541,1,13,10,0.0156898,"\int \frac{e^x (-1-x)}{4+8 e^x x+4 e^{2 x} x^2} \, dx","Integrate[(E^x*(-1 - x))/(4 + 8*E^x*x + 4*E^(2*x)*x^2),x]","\frac{1}{4 \left(e^x x+1\right)}","\frac{1}{4 e^x x+4}",1,"1/(4*(1 + E^x*x))","A",1
542,1,30,28,0.2385974,"\int \frac{1-4 x^3-x^4+e^{e^5} \left(2 x+x^2\right)+\left(-2 x-x^2\right) \log (x)}{-x-e^{e^5} x^2+x^4+x^2 \log (x)} \, dx","Integrate[(1 - 4*x^3 - x^4 + E^E^5*(2*x + x^2) + (-2*x - x^2)*Log[x])/(-x - E^E^5*x^2 + x^4 + x^2*Log[x]),x]","-\log \left(-x^3+e^{e^5} x-x \log (x)+1\right)-x-\log (x)","-\log \left(x-x^2 \left(x^2+\log (x)-e^{e^5}\right)\right)-x+2",1,"-x - Log[x] - Log[1 + E^E^5*x - x^3 - x*Log[x]]","A",1
543,1,20,22,0.014231,"\int e^{-32+2 x^2+24 e^2 x^2 \log (x)} \left(4 x+24 e^2 x+48 e^2 x \log (x)\right) \, dx","Integrate[E^(-32 + 2*x^2 + 24*E^2*x^2*Log[x])*(4*x + 24*E^2*x + 48*E^2*x*Log[x]),x]","e^{2 x^2-32} x^{24 e^2 x^2}","e^{2 x^2-8 \left(4-3 e^2 x^2 \log (x)\right)}",1,"E^(-32 + 2*x^2)*x^(24*E^2*x^2)","A",1
544,1,28,28,0.1221412,"\int \frac{80 x+80 x^2+e^x \left(120+180 x-25 x^2\right)+\left(20 x+20 x^2+e^x \left(40+35 x-5 x^2\right)\right) \log \left(\frac{e^x (8-x)+4 x}{x}\right)}{-64 e^x x^3+e^{2 x} \left(-128 x^2+16 x^3\right)+\left(-32 e^x x^3+e^{2 x} \left(-64 x^2+8 x^3\right)\right) \log \left(\frac{e^x (8-x)+4 x}{x}\right)+\left(-4 e^x x^3+e^{2 x} \left(-8 x^2+x^3\right)\right) \log ^2\left(\frac{e^x (8-x)+4 x}{x}\right)} \, dx","Integrate[(80*x + 80*x^2 + E^x*(120 + 180*x - 25*x^2) + (20*x + 20*x^2 + E^x*(40 + 35*x - 5*x^2))*Log[(E^x*(8 - x) + 4*x)/x])/(-64*E^x*x^3 + E^(2*x)*(-128*x^2 + 16*x^3) + (-32*E^x*x^3 + E^(2*x)*(-64*x^2 + 8*x^3))*Log[(E^x*(8 - x) + 4*x)/x] + (-4*E^x*x^3 + E^(2*x)*(-8*x^2 + x^3))*Log[(E^x*(8 - x) + 4*x)/x]^2),x]","\frac{5 e^{-x}}{x \left(\log \left(e^x \left(\frac{8}{x}-1\right)+4\right)+4\right)}","\frac{5 e^{-x}}{x \left(\log \left(4-\frac{e^x (x-8)}{x}\right)+4\right)}",1,"5/(E^x*x*(4 + Log[4 + E^x*(-1 + 8/x)]))","A",1
545,1,157,24,0.1133091,"\int \frac{76800-156160 x+36000 x^2+50200 x^3-31650 x^4+6750 x^5-500 x^6+e^{3 e} \left(512-896 x-384 x^2+256 x^3\right)+e^{2 e} \left(8192-15104 x-2784 x^2+5280 x^3-960 x^4\right)+e^e \left(43520-84352 x+2880 x^2+30200 x^3-11400 x^4+1200 x^5\right)}{8000+64 e^{3 e}+e^{2 e} (960-240 x)-6000 x+1500 x^2-125 x^3+e^e \left(4800-2400 x+300 x^2\right)} \, dx","Integrate[(76800 - 156160*x + 36000*x^2 + 50200*x^3 - 31650*x^4 + 6750*x^5 - 500*x^6 + E^(3*E)*(512 - 896*x - 384*x^2 + 256*x^3) + E^(2*E)*(8192 - 15104*x - 2784*x^2 + 5280*x^3 - 960*x^4) + E^E*(43520 - 84352*x + 2880*x^2 + 30200*x^3 - 11400*x^4 + 1200*x^5))/(8000 + 64*E^(3*E) + E^(2*E)*(960 - 240*x) - 6000*x + 1500*x^2 - 125*x^3 + E^E*(4800 - 2400*x + 300*x^2)),x]","\frac{-1280 e^{4 e} \left(5 x^2-180 x+989\right)-3200 e^{3 e} \left(35 x^2-629 x+2324\right)+400 e^{2 e} \left(25 x^4-50 x^3-1920 x^2+21520 x-60016\right)-1000 e^e \left(25 x^5-150 x^4+45 x^3+2720 x^2-18256 x+40064\right)+625 \left(25 x^6-250 x^5+665 x^4+600 x^3-7040 x^2+25088 x-42496\right)+10240 e^{5 e} (x-11)-4096 e^{6 e}}{625 \left(-5 x+4 e^e+20\right)^2}","\left(-x^2+\frac{x}{-\frac{5 x}{4}+e^e+5}+x+4\right)^2",1,"(-4096*E^(6*E) + 10240*E^(5*E)*(-11 + x) - 1280*E^(4*E)*(989 - 180*x + 5*x^2) - 3200*E^(3*E)*(2324 - 629*x + 35*x^2) + 400*E^(2*E)*(-60016 + 21520*x - 1920*x^2 - 50*x^3 + 25*x^4) - 1000*E^E*(40064 - 18256*x + 2720*x^2 + 45*x^3 - 150*x^4 + 25*x^5) + 625*(-42496 + 25088*x - 7040*x^2 + 600*x^3 + 665*x^4 - 250*x^5 + 25*x^6))/(625*(20 + 4*E^E - 5*x)^2)","B",1
546,1,30,26,0.0527578,"\int \frac{5 x+5 x^2+10 x^3+15 x^4+e^{2 x} (-5+10 x)+e^x \left(20 x^2+10 x^3\right)}{x^2} \, dx","Integrate[(5*x + 5*x^2 + 10*x^3 + 15*x^4 + E^(2*x)*(-5 + 10*x) + E^x*(20*x^2 + 10*x^3))/x^2,x]","5 \left(x^3+x^2+x+e^x (2 x+2)+\frac{e^{2 x}}{x}+\log (x)\right)","5 x \left(\left(x+\frac{x+e^x}{x}\right)^2-x+\frac{\log (x)}{x}\right)",1,"5*(E^(2*x)/x + x + x^2 + x^3 + E^x*(2 + 2*x) + Log[x])","A",1
547,1,12,18,0.0274263,"\int e^{8-117 x+15 x^2} (-117+30 x) \, dx","Integrate[E^(8 - 117*x + 15*x^2)*(-117 + 30*x),x]","e^{15 x^2-117 x+8}","e^{x (-x+8 (2 x-15)+3)+8}",1,"E^(8 - 117*x + 15*x^2)","A",1
548,1,12,16,0.0000723,"\int \frac{-25-11 e^2}{5 e^2} \, dx","Integrate[(-25 - 11*E^2)/(5*E^2),x]","-\frac{5 x}{e^2}-\frac{11 x}{5}","-\frac{11 x}{5}-5 \left(\frac{x}{e^2}-3\right)+8",1,"(-11*x)/5 - (5*x)/E^2","A",1
549,1,36,24,0.0527576,"\int \frac{-156-87 x-6 x^2+2 x^3+e \left(-6 x-105 x^2-24 x^3+4 x^4\right)+e^2 \left(-18 x^4+2 x^5\right)}{-171-99 x-8 x^2+2 x^3+e \left(-117 x^2-28 x^3+4 x^4\right)+e^2 \left(-20 x^4+2 x^5\right)} \, dx","Integrate[(-156 - 87*x - 6*x^2 + 2*x^3 + E*(-6*x - 105*x^2 - 24*x^3 + 4*x^4) + E^2*(-18*x^4 + 2*x^5))/(-171 - 99*x - 8*x^2 + 2*x^3 + E*(-117*x^2 - 28*x^3 + 4*x^4) + E^2*(-20*x^4 + 2*x^5)),x]","-\log \left(e x^2+x+3\right)+\log \left(-2 e x^3+20 e x^2-2 x^2+14 x+57\right)+x","\log \left(\frac{1}{e x^2+x+3}+\frac{5 (x-4)}{3}-x\right)+x",1,"x - Log[3 + x + E*x^2] + Log[57 + 14*x - 2*x^2 + 20*E*x^2 - 2*E*x^3]","A",1
550,1,24,26,0.1470753,"\int \frac{3888+e^{50} (432-2592 x)-23328 x-2 e^{2 x} x+e^x \left(-36+e^{25} (12-156 x)+468 x\right)+e^{25} (-2592+15552 x)}{11664-7776 e^{25}+1296 e^{50}+e^{2 x}+e^x \left(-216+72 e^{25}\right)} \, dx","Integrate[(3888 + E^50*(432 - 2592*x) - 23328*x - 2*E^(2*x)*x + E^x*(-36 + E^25*(12 - 156*x) + 468*x) + E^25*(-2592 + 15552*x))/(11664 - 7776*E^25 + 1296*E^50 + E^(2*x) + E^x*(-216 + 72*E^25)),x]","-x \left(x-\frac{12 \left(e^{25}-3\right)}{e^x-108+36 e^{25}}\right)","\left(\frac{3}{\frac{e^x}{4 \left(e^{25}-3\right)}+9}-x\right) x",1,"-(x*((-12*(-3 + E^25))/(-108 + 36*E^25 + E^x) + x))","A",1
551,1,35,32,0.0761541,"\int \frac{\exp \left(\frac{6}{-6561-11502 x-4717 x^2+1580 x^3+970 x^4-174 x^5-60 x^6+16 x^7-x^8+\log \left(\frac{3}{x}\right)}\right) \left(6+69012 x+56604 x^2-28440 x^3-23280 x^4+5220 x^5+2160 x^6-672 x^7+48 x^8\right)}{43046721 x+150929244 x^2+194192478 x^3+87777108 x^4-26824571 x^5-34936372 x^6-1864564 x^7+5877004 x^8+602158 x^9-655100 x^{10}-26130 x^{11}+48760 x^{12}-3908 x^{13}-1572 x^{14}+376 x^{15}-32 x^{16}+x^{17}+\left(-13122 x-23004 x^2-9434 x^3+3160 x^4+1940 x^5-348 x^6-120 x^7+32 x^8-2 x^9\right) \log \left(\frac{3}{x}\right)+x \log ^2\left(\frac{3}{x}\right)} \, dx","Integrate[(E^(6/(-6561 - 11502*x - 4717*x^2 + 1580*x^3 + 970*x^4 - 174*x^5 - 60*x^6 + 16*x^7 - x^8 + Log[3/x]))*(6 + 69012*x + 56604*x^2 - 28440*x^3 - 23280*x^4 + 5220*x^5 + 2160*x^6 - 672*x^7 + 48*x^8))/(43046721*x + 150929244*x^2 + 194192478*x^3 + 87777108*x^4 - 26824571*x^5 - 34936372*x^6 - 1864564*x^7 + 5877004*x^8 + 602158*x^9 - 655100*x^10 - 26130*x^11 + 48760*x^12 - 3908*x^13 - 1572*x^14 + 376*x^15 - 32*x^16 + x^17 + (-13122*x - 23004*x^2 - 9434*x^3 + 3160*x^4 + 1940*x^5 - 348*x^6 - 120*x^7 + 32*x^8 - 2*x^9)*Log[3/x] + x*Log[3/x]^2),x]","\exp \left(-\frac{6}{\left(x^4-8 x^3-2 x^2+71 x+81\right)^2-\log \left(\frac{3}{x}\right)}\right)","e^{\frac{6}{\log \left(\frac{3}{x}\right)-\left(((4-x) x+9)^2-x\right)^2}}",1,"E^(-6/((81 + 71*x - 2*x^2 - 8*x^3 + x^4)^2 - Log[3/x]))","A",1
552,1,12,27,0.0005381,"\int \frac{-101+e^2}{3 x^2} \, dx","Integrate[(-101 + E^2)/(3*x^2),x]","-\frac{e^2-101}{3 x}","\frac{\frac{1}{3} \left(24 (4-x)+x-e^2+5\right)-x}{x}",1,"-1/3*(-101 + E^2)/x","A",1
553,1,22,23,0.2006595,"\int \frac{16+2 x^2-6 \log (x)}{25-20 x-6 x^2+4 x^3+x^4+\left(10 x-4 x^2-2 x^3\right) \log (6)+x^2 \log ^2(6)+\left(-30+12 x+6 x^2-6 x \log (6)\right) \log (x)+9 \log ^2(x)} \, dx","Integrate[(16 + 2*x^2 - 6*Log[x])/(25 - 20*x - 6*x^2 + 4*x^3 + x^4 + (10*x - 4*x^2 - 2*x^3)*Log[6] + x^2*Log[6]^2 + (-30 + 12*x + 6*x^2 - 6*x*Log[6])*Log[x] + 9*Log[x]^2),x]","-\frac{2 x}{x^2+2 x-x \log (6)+3 \log (x)-5}","\frac{2}{-x+\frac{5}{x}-\frac{3 \log (x)}{x}-2+\log (6)}",1,"(-2*x)/(-5 + 2*x + x^2 - x*Log[6] + 3*Log[x])","A",1
554,1,38,31,0.5436035,"\int \frac{1}{3} \left(3+2 x+\exp \left(-8+4 e^3+2 e^{-8+4 e^3+4 x^2-8 x^3+4 x^4}+4 x^2-8 x^3+4 x^4\right) \left(48 x-144 x^2+96 x^3\right)\right) \, dx","Integrate[(3 + 2*x + E^(-8 + 4*E^3 + 2*E^(-8 + 4*E^3 + 4*x^2 - 8*x^3 + 4*x^4) + 4*x^2 - 8*x^3 + 4*x^4)*(48*x - 144*x^2 + 96*x^3))/3,x]","\frac{x^2}{3}+e^{2 e^{4 x^4-8 x^3+4 x^2+4 \left(e^3-2\right)}}+x","\frac{x^2}{3}+e^{2 e^{4 \left(\left(x^2-x\right)^2+e^3-2\right)}}+x",1,"E^(2*E^(4*(-2 + E^3) + 4*x^2 - 8*x^3 + 4*x^4)) + x + x^2/3","A",1
555,1,25,23,0.0445651,"\int \frac{-36+16 x+5 x^2-2 x^3+(12-4 x) \log (-3+x)}{-3 x^2+x^3} \, dx","Integrate[(-36 + 16*x + 5*x^2 - 2*x^3 + (12 - 4*x)*Log[-3 + x])/(-3*x^2 + x^3),x]","-2 x-\log (3-x)-\frac{4 (3-\log (x-3))}{x}","\frac{(x-4) (-2 x-\log (x-3)+3)-x}{x}",1,"-2*x - Log[3 - x] - (4*(3 - Log[-3 + x]))/x","A",1
556,1,81,36,0.3851891,"\int \frac{\left(600+630 x+30 x^2\right) \log \left(\frac{20+x}{4}\right) \log ^2\left(\log \left(\frac{20+x}{4}\right)\right)+\exp \left(\frac{2 \left(e^5 x^2-3 x^3 \log \left(\log \left(\frac{20+x}{4}\right)\right)\right)}{15 \log \left(\log \left(\frac{20+x}{4}\right)\right)}\right) \left(-2 e^5 x^2+e^5 \left(80 x+4 x^2\right) \log \left(\frac{20+x}{4}\right) \log \left(\log \left(\frac{20+x}{4}\right)\right)+\left(-360 x^2-18 x^3\right) \log \left(\frac{20+x}{4}\right) \log ^2\left(\log \left(\frac{20+x}{4}\right)\right)\right)+\exp \left(\frac{e^5 x^2-3 x^3 \log \left(\log \left(\frac{20+x}{4}\right)\right)}{15 \log \left(\log \left(\frac{20+x}{4}\right)\right)}\right) \left(e^5 \left(-2 x^2-2 x^3\right)+e^5 \left(80 x+84 x^2+4 x^3\right) \log \left(\frac{20+x}{4}\right) \log \left(\log \left(\frac{20+x}{4}\right)\right)+\left(600+30 x-360 x^2-378 x^3-18 x^4\right) \log \left(\frac{20+x}{4}\right) \log ^2\left(\log \left(\frac{20+x}{4}\right)\right)\right)}{(300+15 x) \log \left(\frac{20+x}{4}\right) \log ^2\left(\log \left(\frac{20+x}{4}\right)\right)} \, dx","Integrate[((600 + 630*x + 30*x^2)*Log[(20 + x)/4]*Log[Log[(20 + x)/4]]^2 + E^((2*(E^5*x^2 - 3*x^3*Log[Log[(20 + x)/4]]))/(15*Log[Log[(20 + x)/4]]))*(-2*E^5*x^2 + E^5*(80*x + 4*x^2)*Log[(20 + x)/4]*Log[Log[(20 + x)/4]] + (-360*x^2 - 18*x^3)*Log[(20 + x)/4]*Log[Log[(20 + x)/4]]^2) + E^((E^5*x^2 - 3*x^3*Log[Log[(20 + x)/4]])/(15*Log[Log[(20 + x)/4]]))*(E^5*(-2*x^2 - 2*x^3) + E^5*(80*x + 84*x^2 + 4*x^3)*Log[(20 + x)/4]*Log[Log[(20 + x)/4]] + (600 + 30*x - 360*x^2 - 378*x^3 - 18*x^4)*Log[(20 + x)/4]*Log[Log[(20 + x)/4]]^2))/((300 + 15*x)*Log[(20 + x)/4]*Log[Log[(20 + x)/4]]^2),x]","e^{-\frac{2 x^3}{5}} \left(e^{\frac{2 x^3}{5}} x (x+2)+2 (x+1) e^{\frac{1}{15} x^2 \left(3 x+\frac{e^5}{\log \left(\log \left(\frac{x}{4}+5\right)\right)}\right)}+e^{\frac{2 e^5 x^2}{15 \log \left(\log \left(\frac{x}{4}+5\right)\right)}}\right)","\left(e^{\frac{1}{5} x^2 \left(\frac{e^5}{3 \log \left(\log \left(\frac{x}{4}+5\right)\right)}-x\right)}+x+1\right)^2",1,"(E^((2*E^5*x^2)/(15*Log[Log[5 + x/4]])) + 2*E^((x^2*(3*x + E^5/Log[Log[5 + x/4]]))/15)*(1 + x) + E^((2*x^3)/5)*x*(2 + x))/E^((2*x^3)/5)","B",1
557,1,26,27,0.2011624,"\int \frac{e^{3 e} (8-2 x)+e^{6 e+x} \left(-8-2 x+2 x^2\right)}{x^3-2 e^{3 e+x} x^3+e^{6 e+2 x} x^3} \, dx","Integrate[(E^(3*E)*(8 - 2*x) + E^(6*E + x)*(-8 - 2*x + 2*x^2))/(x^3 - 2*E^(3*E + x)*x^3 + E^(6*E + 2*x)*x^3),x]","\frac{2 e^{3 e} (2-x)}{\left(e^{x+3 e}-1\right) x^2}","\frac{2 (x-2)}{x \left(e^{-3 e} x-e^x x\right)}+e-3",1,"(2*E^(3*E)*(2 - x))/((-1 + E^(3*E + x))*x^2)","A",1
558,1,12,21,0.0022648,"\int \frac{4 e^2 x}{9-6 x^2+x^4} \, dx","Integrate[(4*E^2*x)/(9 - 6*x^2 + x^4),x]","-\frac{2 e^2}{x^2-3}","4-2 \left(\log (4)-\frac{e^2}{3-x^2}\right)",1,"(-2*E^2)/(-3 + x^2)","A",1
559,1,19,21,0.0124759,"\int \frac{e^{-2 e^2+2 e^{10}-2 x} (-54-18 x)}{x^7} \, dx","Integrate[(E^(-2*E^2 + 2*E^10 - 2*x)*(-54 - 18*x))/x^7,x]","\frac{9 e^{-2 \left(x-e^{10}+e^2\right)}}{x^6}","\frac{9 e^{-2 x+2 e^{10}-2 e^2}}{x^6}",1,"9/(E^(2*(E^2 - E^10 + x))*x^6)","A",1
560,1,37,30,0.24195,"\int \frac{-32 i \pi +8 e^{3 x} x+e^{3 x} \left(8 x+24 x^2\right) \log (x)+\left(-\pi ^2 \left(480 x+32 x^2\right)+i e^{3 x} \pi  \left(-240 x^2-16 x^3\right)+e^{6 x} \left(30 x^3+2 x^4\right)\right) \log ^2(x)}{\left(-16 \pi ^2 x-8 i e^{3 x} \pi  x^2+e^{6 x} x^3\right) \log ^2(x)} \, dx","Integrate[((-32*I)*Pi + 8*E^(3*x)*x + E^(3*x)*(8*x + 24*x^2)*Log[x] + (-(Pi^2*(480*x + 32*x^2)) + I*E^(3*x)*Pi*(-240*x^2 - 16*x^3) + E^(6*x)*(30*x^3 + 2*x^4))*Log[x]^2)/((-16*Pi^2*x - (8*I)*E^(3*x)*Pi*x^2 + E^(6*x)*x^3)*Log[x]^2),x]","2 \left(\frac{x^2}{2}+15 x-\frac{4 i}{\left(4 \pi +i e^{3 x} x\right) \log (x)}\right)","(x+15)^2+\frac{2}{\left(-\frac{1}{4} e^{3 x} x+i \pi \right) \log (x)}",1,"2*(15*x + x^2/2 - (4*I)/((4*Pi + I*E^(3*x)*x)*Log[x]))","A",1
561,1,19,17,0.0542936,"\int \frac{(25+x) \log (x)+\log (x) \log (\log (x))+\frac{(25+x+\log (\log (x))) (12+(300+24 x) \log (x)+12 \log (x) \log (\log (x)))}{e^5}}{(25+x) \log (x)+\log (x) \log (\log (x))} \, dx","Integrate[((25 + x)*Log[x] + Log[x]*Log[Log[x]] + ((25 + x + Log[Log[x]])*(12 + (300 + 24*x)*Log[x] + 12*Log[x]*Log[Log[x]]))/E^5)/((25 + x)*Log[x] + Log[x]*Log[Log[x]]),x]","\frac{x \left(12 (x+25)+12 \log (\log (x))+e^5\right)}{e^5}","x+\frac{12 x (x+\log (\log (x))+25)}{e^5}+\frac{17}{5}",1,"(x*(E^5 + 12*(25 + x) + 12*Log[Log[x]]))/E^5","A",1
562,1,16,22,0.0033837,"\int \frac{5 x^3+\left(-50+2 x^4\right) \log (27)}{x^3 \log (27)} \, dx","Integrate[(5*x^3 + (-50 + 2*x^4)*Log[27])/(x^3*Log[27]),x]","x^2+\frac{25}{x^2}+\frac{5 x}{\log (27)}","\left(x-\frac{5}{x}\right)^2+\frac{5 x}{\log (27)}+2-4 \log (2)",1,"25/x^2 + x^2 + (5*x)/Log[27]","A",1
563,1,25,28,0.0118263,"\int \frac{-721875+991375 x-129420 x^2-1857 x^3+x^4}{721875 x-135125 x^2-1855 x^3+x^4} \, dx","Integrate[(-721875 + 991375*x - 129420*x^2 - 1857*x^3 + x^4)/(721875*x - 135125*x^2 - 1855*x^3 + x^4),x]","-\log \left(-x^2-70 x+375\right)+x+\log (1925-x)-\log (x)","\log \left(\frac{e^x \left(\frac{80}{\frac{x}{25}+3}-1\right)}{(5-x) x}\right)",1,"x + Log[1925 - x] - Log[x] - Log[375 - 70*x - x^2]","A",1
564,1,11,22,0.0064751,"\int \frac{5+10 x+e^x x}{x} \, dx","Integrate[(5 + 10*x + E^x*x)/x,x]","10 x+e^x+5 \log (x)","5 x+e^x+5 \left(x+\log (x)+\frac{e^5}{3}+5\right)+5",1,"E^x + 10*x + 5*Log[x]","A",1
565,1,27,26,0.0139207,"\int \frac{-x^3-6 e^{8+x} x^3+e^8 (432+72 x)}{x^3} \, dx","Integrate[(-x^3 - 6*E^(8 + x)*x^3 + E^8*(432 + 72*x))/x^3,x]","-\frac{216 e^8}{x^2}-x-6 e^{x+8}-\frac{72 e^8}{x}","-6 e^8 \left(\frac{(x+6)^2}{x^2}+e^x\right)-x+e^2-4",1,"-6*E^(8 + x) - (216*E^8)/x^2 - (72*E^8)/x - x","A",1
566,1,53,30,0.1701465,"\int \frac{26244 x^8+324 e^{20} x^8-43740 x^9-26244 x^{10}+54432 x^{11}+12312 x^{12}-23328 x^{13}-4860 x^{14}+3564 x^{15}+972 x^{16}+e^{-4+4 x} (-4+4 x)+e^{15} \left(-3888 x^8+1620 x^9+1944 x^{10}\right)+e^{10} \left(17496 x^8-14580 x^9-14580 x^{10}+6804 x^{11}+3888 x^{12}\right)+e^5 \left(-34992 x^8+43740 x^9+34992 x^{10}-38556 x^{11}-15552 x^{12}+8748 x^{13}+3240 x^{14}\right)+e^{-2+2 x} \left(216 x^5+36 e^{10} x^5-396 x^6-72 x^7+144 x^8+36 x^9+e^5 \left(-180 x^5+144 x^6+72 x^7\right)\right)}{x^5} \, dx","Integrate[(26244*x^8 + 324*E^20*x^8 - 43740*x^9 - 26244*x^10 + 54432*x^11 + 12312*x^12 - 23328*x^13 - 4860*x^14 + 3564*x^15 + 972*x^16 + E^(-4 + 4*x)*(-4 + 4*x) + E^15*(-3888*x^8 + 1620*x^9 + 1944*x^10) + E^10*(17496*x^8 - 14580*x^9 - 14580*x^10 + 6804*x^11 + 3888*x^12) + E^5*(-34992*x^8 + 43740*x^9 + 34992*x^10 - 38556*x^11 - 15552*x^12 + 8748*x^13 + 3240*x^14) + E^(-2 + 2*x)*(216*x^5 + 36*E^10*x^5 - 396*x^6 - 72*x^7 + 144*x^8 + 36*x^9 + E^5*(-180*x^5 + 144*x^6 + 72*x^7)))/x^5,x]","\frac{\left(9 e^{12} x^4+9 e^2 \left(x^2+x-3\right)^2 x^4+18 e^7 \left(x^2+x-3\right) x^4+e^{2 x}\right)^2}{e^4 x^4}","\left(9 x^2 \left(x^2+x+e^5-3\right)^2+\frac{e^{2 x-2}}{x^2}\right)^2",1,"(E^(2*x) + 9*E^12*x^4 + 18*E^7*x^4*(-3 + x + x^2) + 9*E^2*x^4*(-3 + x + x^2)^2)^2/(E^4*x^4)","A",1
567,1,47,32,0.3264436,"\int \frac{-7+7 x-3 x^2+e^{-4-2 e^x-2 x} \left(-4+3 x+e^x (-4+3 x)\right)+e^{-2-e^x-x} \left(-4+7 x-3 x^2+e^x \left(4 x-3 x^2\right)\right)}{-4+3 x} \, dx","Integrate[(-7 + 7*x - 3*x^2 + E^(-4 - 2*E^x - 2*x)*(-4 + 3*x + E^x*(-4 + 3*x)) + E^(-2 - E^x - x)*(-4 + 7*x - 3*x^2 + E^x*(4*x - 3*x^2)))/(-4 + 3*x),x]","-\frac{x^2}{2}+e^{-x-e^x-2} x+x-\frac{1}{2} e^{-2 x-2 e^x-4}-\log (4-3 x)","-\frac{1}{2} \left(x-e^{-x-e^x-2}\right)^2+x-\log (3 x-4)",1,"-1/2*E^(-4 - 2*E^x - 2*x) + x + E^(-2 - E^x - x)*x - x^2/2 - Log[4 - 3*x]","A",1
568,1,19,19,0.0019726,"\int \frac{-16-5 \log (5) \log (32)}{5 x^2 \log (5)} \, dx","Integrate[(-16 - 5*Log[5]*Log[32])/(5*x^2*Log[5]),x]","\frac{16+5 \log (5) \log (32)}{5 x \log (5)}","\frac{\log (32)}{x}+\frac{16}{5 x \log (5)}+5",1,"(16 + 5*Log[5]*Log[32])/(5*x*Log[5])","A",1
569,1,15,13,0.0027113,"\int \frac{1+3 x+x \log (2)-x \log (5)}{x} \, dx","Integrate[(1 + 3*x + x*Log[2] - x*Log[5])/x,x]","3 x+x (-\log (5))+x \log (2)+\log (x)","x (3+\log (2)-\log (5))+\log (x)",1,"3*x + x*Log[2] - x*Log[5] + Log[x]","A",1
570,1,49,31,0.0354114,"\int \frac{316 x^3+280 x^4+73 x^5+6 x^6+\left(320 x+128 x^2+14 x^3\right) \log (\log (3))+\left(-160-63 x-6 x^2\right) \log ^2(\log (3))}{75 x^3+30 x^4+3 x^5} \, dx","Integrate[(316*x^3 + 280*x^4 + 73*x^5 + 6*x^6 + (320*x + 128*x^2 + 14*x^3)*Log[Log[3]] + (-160 - 63*x - 6*x^2)*Log[Log[3]]^2)/(75*x^3 + 30*x^4 + 3*x^5),x]","\frac{1}{75} \left(75 x^2+\frac{80 \log ^2(\log (3))}{x^2}+325 x+\frac{(\log (\log (3))-15)^2}{x+5}-\frac{\log (\log (3)) (320+\log (\log (3)))}{x}\right)","\frac{\left(\frac{x}{3 (x+5)}+x\right) \left(x-\frac{\log (\log (3))}{x}+2\right)^2}{x}+4",1,"(325*x + 75*x^2 + (-15 + Log[Log[3]])^2/(5 + x) + (80*Log[Log[3]]^2)/x^2 - (Log[Log[3]]*(320 + Log[Log[3]]))/x)/75","A",1
571,1,21,24,0.0411047,"\int \frac{-11 e x+e^{1+\frac{2+x \log \left(\frac{e^x}{x}\right)}{x}} \left(2+2 x-x^2\right)}{5 x^3} \, dx","Integrate[(-11*E*x + E^(1 + (2 + x*Log[E^x/x])/x)*(2 + 2*x - x^2))/(5*x^3),x]","-\frac{e \left(e^{x+\frac{2}{x}}-11 x\right)}{5 x^2}","\frac{e \left(11-\frac{e^{x+\frac{2}{x}}}{x}\right)}{5 x}",1,"-1/5*(E*(E^(2/x + x) - 11*x))/x^2","A",1
572,1,15,19,0.0312372,"\int \frac{-3 x^3+12 x^3 \log (x)+220 \log ^2(x)}{4 \log ^2(x)} \, dx","Integrate[(-3*x^3 + 12*x^3*Log[x] + 220*Log[x]^2)/(4*Log[x]^2),x]","\frac{3 x^4}{4 \log (x)}+55 x","3 \left(\frac{x^4}{4 \log (x)}+18 x\right)+x",1,"55*x + (3*x^4)/(4*Log[x])","A",1
573,1,29,25,0.3947842,"\int \frac{e^x \left(144-12 e-432 x+144 x^2\right)}{144 e^{2 x} \log (2)+e^x \left(-24 e-288 x+288 x^2\right) \log (2)+\left(e^2+144 x^2-288 x^3+144 x^4+e \left(24 x-24 x^2\right)\right) \log (2)} \, dx","Integrate[(E^x*(144 - 12*E - 432*x + 144*x^2))/(144*E^(2*x)*Log[2] + E^x*(-24*E - 288*x + 288*x^2)*Log[2] + (E^2 + 144*x^2 - 288*x^3 + 144*x^4 + E*(24*x - 24*x^2))*Log[2]),x]","-\frac{e-12 (x-1) x}{\left(-12 (x-1) x-12 e^x+e\right) \log (2)}","\frac{e^x}{\left(x^2-x+e^x-\frac{e}{12}\right) \log (2)}",1,"-((E - 12*(-1 + x)*x)/((E - 12*E^x - 12*(-1 + x)*x)*Log[2]))","A",1
574,1,38,29,0.066675,"\int \frac{-8 x-4 x^2+(8+4 x) \log (3)+(-8 x-4 x \log (3)) \log (x)+\left(-4 x-2 x^2+(4+2 x) \log (3)\right) \log \left(\frac{x^2-2 x \log (3)+\log ^2(3)}{4+4 x+x^2}\right)}{-2 x^2-x^3+\left(2 x+x^2\right) \log (3)} \, dx","Integrate[(-8*x - 4*x^2 + (8 + 4*x)*Log[3] + (-8*x - 4*x*Log[3])*Log[x] + (-4*x - 2*x^2 + (4 + 2*x)*Log[3])*Log[(x^2 - 2*x*Log[3] + Log[3]^2)/(4 + 4*x + x^2)])/(-2*x^2 - x^3 + (2*x + x^2)*Log[3]),x]","\frac{\log (x) \left((4+\log (9)) \log \left(\frac{x^2-x \log (9)+\log ^2(3)}{(x+2)^2}\right)+8+\log (81)\right)}{2+\log (3)}","2 \left(-\left(\left(-\log \left(\frac{(x-\log (3))^2}{(x+2)^2}\right)-1\right) \log (x)\right)+\log (x)+1\right)",1,"(Log[x]*(8 + Log[81] + (4 + Log[9])*Log[(x^2 + Log[3]^2 - x*Log[9])/(2 + x)^2]))/(2 + Log[3])","A",1
575,1,43,27,1.8527061,"\int \frac{32+e^{-18 x-34 x^2-11 x^3-x^4} \left(576+2176 x+1056 x^2+128 x^3\right)}{e^{-54 x-102 x^2-33 x^3-3 x^4}-3 e^{-36 x-68 x^2-22 x^3-2 x^4} x+3 e^{-18 x-34 x^2-11 x^3-x^4} x^2-x^3} \, dx","Integrate[(32 + E^(-18*x - 34*x^2 - 11*x^3 - x^4)*(576 + 2176*x + 1056*x^2 + 128*x^3))/(E^(-54*x - 102*x^2 - 33*x^3 - 3*x^4) - 3*E^(-36*x - 68*x^2 - 22*x^3 - 2*x^4)*x + 3*E^(-18*x - 34*x^2 - 11*x^3 - x^4)*x^2 - x^3),x]","\frac{16 e^{2 x \left(x^3+11 x^2+34 x+18\right)}}{\left(e^{x \left(x^3+11 x^2+34 x+18\right)} x-1\right)^2}","\frac{16}{\left(e^{2 x-x (x+5) (x (x+6)+4)}-x\right)^2}",1,"(16*E^(2*x*(18 + 34*x + 11*x^2 + x^3)))/(-1 + E^(x*(18 + 34*x + 11*x^2 + x^3))*x)^2","A",1
576,1,23,23,1.1144254,"\int \frac{e^{-2 e^x} \left(5+\left(-5+10 e^x x\right) \log (x)+e^{2 e^x} \left(9+2 x-1280 x^4\right) \log ^2(x)\right)}{\log ^2(x)} \, dx","Integrate[(5 + (-5 + 10*E^x*x)*Log[x] + E^(2*E^x)*(9 + 2*x - 1280*x^4)*Log[x]^2)/(E^(2*E^x)*Log[x]^2),x]","x \left(-256 x^4+x-\frac{5 e^{-2 e^x}}{\log (x)}+9\right)","x \left(-256 x^4+x-\frac{5 e^{-2 e^x}}{\log (x)}+9\right)",1,"x*(9 + x - 256*x^4 - 5/(E^(2*E^x)*Log[x]))","A",1
577,1,46,34,0.1495057,"\int \frac{24 e^{4+2 x}+8 e^x x^2+\left(4 e^x x^2+e^{2 x} \left(12 e^4 x+21 x^2-3 e x^2\right)\right) \log \left(\frac{e^{-2 x} \left(16 x^2+e^x \left(96 e^4 x+168 x^2-24 e x^2\right)+e^{2 x} \left(144 e^8+441 x^2-126 e x^2+9 e^2 x^2+e^4 (504 x-72 e x)\right)\right)}{9 x^2}\right)}{\left(4 x^2+e^x \left(12 e^4 x+21 x^2-3 e x^2\right)\right) \log ^2\left(\frac{e^{-2 x} \left(16 x^2+e^x \left(96 e^4 x+168 x^2-24 e x^2\right)+e^{2 x} \left(144 e^8+441 x^2-126 e x^2+9 e^2 x^2+e^4 (504 x-72 e x)\right)\right)}{9 x^2}\right)} \, dx","Integrate[(24*E^(4 + 2*x) + 8*E^x*x^2 + (4*E^x*x^2 + E^(2*x)*(12*E^4*x + 21*x^2 - 3*E*x^2))*Log[(16*x^2 + E^x*(96*E^4*x + 168*x^2 - 24*E*x^2) + E^(2*x)*(144*E^8 + 441*x^2 - 126*E*x^2 + 9*E^2*x^2 + E^4*(504*x - 72*E*x)))/(9*E^(2*x)*x^2)])/((4*x^2 + E^x*(12*E^4*x + 21*x^2 - 3*E*x^2))*Log[(16*x^2 + E^x*(96*E^4*x + 168*x^2 - 24*E*x^2) + E^(2*x)*(144*E^8 + 441*x^2 - 126*E*x^2 + 9*E^2*x^2 + E^4*(504*x - 72*E*x)))/(9*E^(2*x)*x^2)]^2),x]","\frac{e^x}{\log \left(\frac{e^{-2 x} \left(21 e^x x-3 e^{x+1} x+4 x+12 e^{x+4}\right)^2}{9 x^2}\right)}","\frac{e^x}{\log \left(\left(\frac{4 \left(\frac{e^{-x} x}{3}+x+e^4\right)}{x}-e+3\right)^2\right)}",1,"E^x/Log[(12*E^(4 + x) + 4*x + 21*E^x*x - 3*E^(1 + x)*x)^2/(9*E^(2*x)*x^2)]","A",1
578,1,475,30,1.0882898,"\int \frac{\left(\left(4 e x^3-8 x^4\right) \log (3)+\left(4 e x-8 x^2\right) \log ^2(3)\right) \log ^3(x)+\left(2 e x^3-4 x^4\right) \log ^2(-e+2 x)+\log ^2(x) \left(-4 x^5-4 x^3 \log (3)+\left(-2 e x^4+4 x^5+\left(-6 e x^2+12 x^3\right) \log (3)\right) \log (-e+2 x)\right)+\log (x) \left(\left(4 x^4-2 e x^4+4 x^5+\left(-2 e x^2+4 x^3\right) \log (3)\right) \log (-e+2 x)+\left(2 e x^3-4 x^4\right) \log ^2(-e+2 x)\right)}{(e-2 x) \log ^3(3) \log ^3(x)+\left(-3 e x+6 x^2\right) \log ^2(3) \log ^2(x) \log (-e+2 x)+\left(3 e x^2-6 x^3\right) \log (3) \log (x) \log ^2(-e+2 x)+\left(-e x^3+2 x^4\right) \log ^3(-e+2 x)} \, dx","Integrate[(((4*E*x^3 - 8*x^4)*Log[3] + (4*E*x - 8*x^2)*Log[3]^2)*Log[x]^3 + (2*E*x^3 - 4*x^4)*Log[-E + 2*x]^2 + Log[x]^2*(-4*x^5 - 4*x^3*Log[3] + (-2*E*x^4 + 4*x^5 + (-6*E*x^2 + 12*x^3)*Log[3])*Log[-E + 2*x]) + Log[x]*((4*x^4 - 2*E*x^4 + 4*x^5 + (-2*E*x^2 + 4*x^3)*Log[3])*Log[-E + 2*x] + (2*E*x^3 - 4*x^4)*Log[-E + 2*x]^2))/((E - 2*x)*Log[3]^3*Log[x]^3 + (-3*E*x + 6*x^2)*Log[3]^2*Log[x]^2*Log[-E + 2*x] + (3*E*x^2 - 6*x^3)*Log[3]*Log[x]*Log[-E + 2*x]^2 + (-(E*x^3) + 2*x^4)*Log[-E + 2*x]^3),x]","\frac{x^2 \log (x) \left(x^2 \log (x)-\frac{\left(2 \left(2 x^2-x \log (9)+e \log (3)\right)^3+\left(4 x^3 \left(x \left(\log ^2(81)-4 \log ^2(3)\right)-4 \log ^2(3) \log (27)\right)+2 e x^2 \left(x \left(8 \log ^2(3)-\log ^2(81)-8 \log (3) \log (9)\right)+4 \log ^2(3) \log (19683)\right)+e^2 x \left(x^2 \left(\log (3) \log (81)-\log ^2(9)\right)+x \log (27) \log (81)-4 \log ^2(3) \log (19683)\right)+e^3 \log ^2(3) \log (729)\right) \log ^2(x)+\left(4 x^3 (x-\log (3)) \left(x \log (531441)-4 \log ^2(3)-\log (9) \log (81)\right)-2 e x^2 \left(x^2 \left(-36 \log ^2(3)+\log (9) \log (729)+\log (81) \log (729)+\log (531441)\right)-x \left(16 \log ^2(3)+\log ^2(81)+\log (9) \log (6561)\right)+\log ^2(3) \log (150094635296999121)\right)+e^2 x \left(x^2 \left(-36 \log ^2(3)+\log (27) \log (81)+\log (9) \log (531441)\right)-x \left(8 \log ^2(3)+\log (9) \log (6561)\right)+\log ^2(3) \log (150094635296999121)\right)-e^3 \log (3) \left(2 \log ^2(3)+\log ^2(9)\right)\right) \log (x)+\left(8 x^3 \log ^2(3) \log (9)+e^3 \left(x^2 \left(\log ^2(9)-4 \log ^2(3)\right)-2 \log ^3(3)\right)+e \left(x^4 \left(-48 \log ^2(3)+10 \log (3) \log (81)+\log (9) \log (81)\right)-8 x^2 \log ^2(3) \log (27)\right)+e^2 x \log (3) \left(-12 \log ^2(3)+8 \log (3) \log (9)+\log (9) \log (81)\right)\right) \log ^3(x)\right) (x \log (2 x-e)-\log (3) \log (x))}{\left(2 x^2-x \log (9)+(x \log (9)-e \log (3)) \log (x)+e \log (3)\right)^3}\right)}{(\log (3) \log (x)-x \log (2 x-e))^2}","\left(1-\frac{x}{\frac{\log (2 x-e)}{\log (x)}-\frac{\log (3)}{x}}\right)^2",1,"(x^2*Log[x]*(x^2*Log[x] - ((2*(2*x^2 + E*Log[3] - x*Log[9])^3 + (-(E^3*Log[3]*(2*Log[3]^2 + Log[9]^2)) + 4*x^3*(x - Log[3])*(-4*Log[3]^2 - Log[9]*Log[81] + x*Log[531441]) - 2*E*x^2*(-(x*(16*Log[3]^2 + Log[81]^2 + Log[9]*Log[6561])) + x^2*(-36*Log[3]^2 + Log[9]*Log[729] + Log[81]*Log[729] + Log[531441]) + Log[3]^2*Log[150094635296999121]) + E^2*x*(-(x*(8*Log[3]^2 + Log[9]*Log[6561])) + x^2*(-36*Log[3]^2 + Log[27]*Log[81] + Log[9]*Log[531441]) + Log[3]^2*Log[150094635296999121]))*Log[x] + (4*x^3*(-4*Log[3]^2*Log[27] + x*(-4*Log[3]^2 + Log[81]^2)) + E^3*Log[3]^2*Log[729] + E^2*x*(x*Log[27]*Log[81] + x^2*(-Log[9]^2 + Log[3]*Log[81]) - 4*Log[3]^2*Log[19683]) + 2*E*x^2*(x*(8*Log[3]^2 - 8*Log[3]*Log[9] - Log[81]^2) + 4*Log[3]^2*Log[19683]))*Log[x]^2 + (8*x^3*Log[3]^2*Log[9] + E^3*(-2*Log[3]^3 + x^2*(-4*Log[3]^2 + Log[9]^2)) + E^2*x*Log[3]*(-12*Log[3]^2 + 8*Log[3]*Log[9] + Log[9]*Log[81]) + E*(-8*x^2*Log[3]^2*Log[27] + x^4*(-48*Log[3]^2 + 10*Log[3]*Log[81] + Log[9]*Log[81])))*Log[x]^3)*(-(Log[3]*Log[x]) + x*Log[-E + 2*x]))/(2*x^2 + E*Log[3] - x*Log[9] + (-(E*Log[3]) + x*Log[9])*Log[x])^3))/(Log[3]*Log[x] - x*Log[-E + 2*x])^2","B",0
579,1,24,26,0.0533552,"\int \frac{-18 x^2+3 x^3-30 x^4-5 x^5+\left(24 x^3+4 x^4\right) \log \left(\frac{2 x}{6+x}\right)}{6+x} \, dx","Integrate[(-18*x^2 + 3*x^3 - 30*x^4 - 5*x^5 + (24*x^3 + 4*x^4)*Log[(2*x)/(6 + x)])/(6 + x),x]","-x^5+x^4 \log \left(\frac{2 x}{x+6}\right)-x^3","2-x^2 \left(x^2 \left(x-\log \left(\frac{2 x}{x+6}\right)\right)+x\right)",1,"-x^3 - x^5 + x^4*Log[(2*x)/(6 + x)]","A",1
580,1,16,13,0.0286238,"\int \frac{e+2 e \log (x)+2 \log ^2(x)}{x^3 \log ^2(x)} \, dx","Integrate[(E + 2*E*Log[x] + 2*Log[x]^2)/(x^3*Log[x]^2),x]","-\frac{1}{x^2}-\frac{e}{x^2 \log (x)}","-\frac{\log (x)+e}{x^2 \log (x)}",1,"-x^(-2) - E/(x^2*Log[x])","A",1
581,1,20,21,0.040878,"\int \frac{-2 e^3+e^x \left(e^3 x-x^2\right)}{2 e^3 x-2 x^2} \, dx","Integrate[(-2*E^3 + E^x*(E^3*x - x^2))/(2*E^3*x - 2*x^2),x]","\frac{e^x}{2}+\log \left(e^3-x\right)-\log (x)","\frac{e^x}{2}+\log \left(\frac{x-e^3}{x}\right)-1",1,"E^x/2 + Log[E^3 - x] - Log[x]","A",1
582,1,30,34,0.1390848,"\int \frac{-2+3 x^2-2 e^x x^2+\left(-6 x+4 e^x x\right) \log (\log (2))+\left(2-2 e^x\right) \log ^2(\log (2))}{2 x^2-4 x \log (\log (2))+2 \log ^2(\log (2))} \, dx","Integrate[(-2 + 3*x^2 - 2*E^x*x^2 + (-6*x + 4*E^x*x)*Log[Log[2]] + (2 - 2*E^x)*Log[Log[2]]^2)/(2*x^2 - 4*x*Log[Log[2]] + 2*Log[Log[2]]^2),x]","\frac{1}{2} \left(3 x-2 e^x+\frac{2+\log ^2(\log (2))}{x-\log (\log (2))}\right)","-\frac{-x^2-2}{2 (x-\log (\log (2)))}+3 (x-5)-e^x-2 x",1,"(-2*E^x + 3*x + (2 + Log[Log[2]]^2)/(x - Log[Log[2]]))/2","A",1
583,1,95,21,0.2325289,"\int \frac{72-18 x^2+e^{16-32 x^2+24 x^4-8 x^6+x^8} \left(-4+x^2\right) \left(774 x^8-1344 x^{10}+864 x^{12}-240 x^{14}+24 x^{16}\right)}{-4 x^7+x^9} \, dx","Integrate[(72 - 18*x^2 + E^(16 - 32*x^2 + 24*x^4 - 8*x^6 + x^8)*(-4 + x^2)*(774*x^8 - 1344*x^10 + 864*x^12 - 240*x^14 + 24*x^16))/(-4*x^7 + x^9),x]","\frac{3}{x^6}+3 \left(-2 e^{\left(x^2-2\right)^4}+\frac{\left(2-x^2\right)^5 \Gamma \left(\frac{5}{4},-\left(2-x^2\right)^4\right)}{\left(-\left(2-x^2\right)^4\right)^{5/4}}-\frac{\left(x^2-2\right) \Gamma \left(\frac{1}{4},-\left(x^2-2\right)^4\right)}{4 \sqrt[4]{-\left(x^2-2\right)^4}}\right)","3 \left(\frac{1}{x^6}+e^{\left(x^2-2\right)^4} \left(x^2-4\right)\right)",1,"3/x^6 + 3*(-2*E^(-2 + x^2)^4 - ((-2 + x^2)*Gamma[1/4, -(-2 + x^2)^4])/(4*(-(-2 + x^2)^4)^(1/4)) + ((2 - x^2)^5*Gamma[5/4, -(2 - x^2)^4])/(-(2 - x^2)^4)^(5/4))","C",1
584,1,17,18,0.1643962,"\int \frac{-1+\left(-x+x^2+x^3\right) \log (x)+x \log (x) \log \left(\frac{120}{\log (x)}\right)}{\left(-x^2+x^3\right) \log (x)+x \log (x) \log \left(\frac{120}{\log (x)}\right)} \, dx","Integrate[(-1 + (-x + x^2 + x^3)*Log[x] + x*Log[x]*Log[120/Log[x]])/((-x^2 + x^3)*Log[x] + x*Log[x]*Log[120/Log[x]]),x]","\log \left(x^2-x+\log \left(\frac{120}{\log (x)}\right)\right)+x","\log \left(x^2-x+\log \left(\frac{120}{\log (x)}\right)\right)+x-4",1,"x + Log[-x + x^2 + Log[120/Log[x]]]","A",1
585,1,28,30,0.1444125,"\int \frac{e^{x-\frac{e^4 (-5+x)}{x+x^2-x^3}} \left(-1-2 x+x^3+e^{-x+\frac{e^4 (-5+x)}{x+x^2-x^3}} \left(1+x-x^2\right)+\frac{e^4 \left(5+10 x-16 x^2+2 x^3\right)}{x+x^2-x^3}\right)}{-1-x+x^2} \, dx","Integrate[(E^(x - (E^4*(-5 + x))/(x + x^2 - x^3))*(-1 - 2*x + x^3 + E^(-x + (E^4*(-5 + x))/(x + x^2 - x^3))*(1 + x - x^2) + (E^4*(5 + 10*x - 16*x^2 + 2*x^3))/(x + x^2 - x^3)))/(-1 - x + x^2),x]","\left(e^{\frac{e^4 (x-5)}{x \left(x^2-x-1\right)}+x}-1\right) x","e^{x-\frac{e^4 (x-5)}{x-(x-1) x^2}} x-x",1,"(-1 + E^(x + (E^4*(-5 + x))/(x*(-1 - x + x^2))))*x","A",1
586,1,38,28,0.2831283,"\int \frac{\exp \left(\frac{e^{4 e^{e^4}} \left(e^3 x+x^2\right)}{-e^3-x+3 e^{4 e^{e^4}} x}\right) \left(3 e^{8 e^{e^4}} x^2+e^{4 e^{e^4}} \left(-e^6-2 e^3 x-x^2\right)\right)}{e^6+2 e^3 x+x^2+9 e^{8 e^{e^4}} x^2+e^{4 e^{e^4}} \left(-6 e^3 x-6 x^2\right)} \, dx","Integrate[(E^((E^(4*E^E^4)*(E^3*x + x^2))/(-E^3 - x + 3*E^(4*E^E^4)*x))*(3*E^(8*E^E^4)*x^2 + E^(4*E^E^4)*(-E^6 - 2*E^3*x - x^2)))/(E^6 + 2*E^3*x + x^2 + 9*E^(8*E^E^4)*x^2 + E^(4*E^E^4)*(-6*E^3*x - 6*x^2)),x]","\exp \left(-\frac{e^{4 e^{e^4}} x \left(x+e^3\right)}{-3 e^{4 e^{e^4}} x+x+e^3}\right)","e^{\frac{x}{\frac{3 x}{x+e^3}-e^{-4 e^{e^4}}}}",1,"E^(-((E^(4*E^E^4)*x*(E^3 + x))/(E^3 + x - 3*E^(4*E^E^4)*x)))","A",1
587,1,26,23,0.023495,"\int \frac{1-2 e^3+6 x+3 x^2+(-6-6 x) \log (3)+3 \log ^2(3)}{1+2 x+x^2+(-2-2 x) \log (3)+\log ^2(3)} \, dx","Integrate[(1 - 2*E^3 + 6*x + 3*x^2 + (-6 - 6*x)*Log[3] + 3*Log[3]^2)/(1 + 2*x + x^2 + (-2 - 2*x)*Log[3] + Log[3]^2),x]","3 (x+1-\log (3))+\frac{2 \left(1+e^3\right)}{x+1-\log (3)}","3 x+\frac{2 \left(1+e^3\right)}{x+1-\log (3)}+5+\log (4)",1,"(2*(1 + E^3))/(1 + x - Log[3]) + 3*(1 + x - Log[3])","A",1
588,0,0,37,0.1773964,"\int \frac{-24 e^5 x^4+\left(432-108 x-108 x^2+27 x^3+e^{10} \left(-32 x^3+8 x^4\right)\right) \log (4-x)+\left(72 x^4+e^5 \left(192 x^3-48 x^4\right) \log (4-x)\right) \log (\log (4-x))+\left(-288 x^3+72 x^4\right) \log (4-x) \log ^2(\log (4-x))}{\left(-432 x+108 x^2-108 x^3+27 x^4+e^{10} \left(-16 x^4+4 x^5\right)\right) \log (4-x)+e^5 \left(96 x^4-24 x^5\right) \log (4-x) \log (\log (4-x))+\left(-144 x^4+36 x^5\right) \log (4-x) \log ^2(\log (4-x))} \, dx","Integrate[(-24*E^5*x^4 + (432 - 108*x - 108*x^2 + 27*x^3 + E^10*(-32*x^3 + 8*x^4))*Log[4 - x] + (72*x^4 + E^5*(192*x^3 - 48*x^4)*Log[4 - x])*Log[Log[4 - x]] + (-288*x^3 + 72*x^4)*Log[4 - x]*Log[Log[4 - x]]^2)/((-432*x + 108*x^2 - 108*x^3 + 27*x^4 + E^10*(-16*x^4 + 4*x^5))*Log[4 - x] + E^5*(96*x^4 - 24*x^5)*Log[4 - x]*Log[Log[4 - x]] + (-144*x^4 + 36*x^5)*Log[4 - x]*Log[Log[4 - x]]^2),x]","\int \frac{-24 e^5 x^4+\left(432-108 x-108 x^2+27 x^3+e^{10} \left(-32 x^3+8 x^4\right)\right) \log (4-x)+\left(72 x^4+e^5 \left(192 x^3-48 x^4\right) \log (4-x)\right) \log (\log (4-x))+\left(-288 x^3+72 x^4\right) \log (4-x) \log ^2(\log (4-x))}{\left(-432 x+108 x^2-108 x^3+27 x^4+e^{10} \left(-16 x^4+4 x^5\right)\right) \log (4-x)+e^5 \left(96 x^4-24 x^5\right) \log (4-x) \log (\log (4-x))+\left(-144 x^4+36 x^5\right) \log (4-x) \log ^2(\log (4-x))} \, dx","\log \left(5 \left(4 \left(x^2 \left(\log (\log (4-x))-\frac{e^5}{3}\right)^2+x+\frac{3}{x}\right)-x\right)\right)",1,"Integrate[(-24*E^5*x^4 + (432 - 108*x - 108*x^2 + 27*x^3 + E^10*(-32*x^3 + 8*x^4))*Log[4 - x] + (72*x^4 + E^5*(192*x^3 - 48*x^4)*Log[4 - x])*Log[Log[4 - x]] + (-288*x^3 + 72*x^4)*Log[4 - x]*Log[Log[4 - x]]^2)/((-432*x + 108*x^2 - 108*x^3 + 27*x^4 + E^10*(-16*x^4 + 4*x^5))*Log[4 - x] + E^5*(96*x^4 - 24*x^5)*Log[4 - x]*Log[Log[4 - x]] + (-144*x^4 + 36*x^5)*Log[4 - x]*Log[Log[4 - x]]^2), x]","F",-1
589,1,22,24,0.3262216,"\int \frac{-4-8 x-6 x^2-2 \log \left(\frac{16 x^2}{9}\right)}{4 x^4+4 x^5+x^6+\left(4 x^3+2 x^4\right) \log \left(\frac{16 x^2}{9}\right)+x^2 \log ^2\left(\frac{16 x^2}{9}\right)} \, dx","Integrate[(-4 - 8*x - 6*x^2 - 2*Log[(16*x^2)/9])/(4*x^4 + 4*x^5 + x^6 + (4*x^3 + 2*x^4)*Log[(16*x^2)/9] + x^2*Log[(16*x^2)/9]^2),x]","\frac{2}{x \left(x^2+\log \left(\frac{16 x^2}{9}\right)+2 x\right)}","\frac{2}{x^2 \left(\frac{\log \left(\frac{16 x^2}{9}\right)}{x}+x+2\right)}+5",1,"2/(x*(2*x + x^2 + Log[(16*x^2)/9]))","A",1
590,1,20,26,0.1364515,"\int e^{-\frac{1}{125} e^{14+e^x}+x \log (2) \log (3)} \left(-\frac{1}{125} e^{14+e^x+x}+\log (2) \log (3)\right) \, dx","Integrate[E^(-1/125*E^(14 + E^x) + x*Log[2]*Log[3])*(-1/125*E^(14 + E^x + x) + Log[2]*Log[3]),x]","e^{x \log (2) \log (3)-\frac{e^{e^x+14}}{125}}","e^{x \log (2) \log (3)-e^{e^x-1+3 (5-\log (5))}}",1,"E^(-1/125*E^(14 + E^x) + x*Log[2]*Log[3])","A",1
591,1,18,20,0.133271,"\int \frac{\exp \left(\frac{1}{3} \left(3 x-4 \log ^2\left(\log \left(1+4 x+6 x^2+4 x^3+x^4\right)\right)\right)\right) \left(e (3+3 x) \log \left(1+4 x+6 x^2+4 x^3+x^4\right)-32 e \log \left(\log \left(1+4 x+6 x^2+4 x^3+x^4\right)\right)\right)}{(3+3 x) \log \left(1+4 x+6 x^2+4 x^3+x^4\right)} \, dx","Integrate[(E^((3*x - 4*Log[Log[1 + 4*x + 6*x^2 + 4*x^3 + x^4]]^2)/3)*(E*(3 + 3*x)*Log[1 + 4*x + 6*x^2 + 4*x^3 + x^4] - 32*E*Log[Log[1 + 4*x + 6*x^2 + 4*x^3 + x^4]]))/((3 + 3*x)*Log[1 + 4*x + 6*x^2 + 4*x^3 + x^4]),x]","e^{x-\frac{4}{3} \log ^2\left(\log \left((x+1)^4\right)\right)+1}","e^{x-\frac{4}{3} \log ^2\left(\log \left((x+1)^4\right)\right)+1}-2",1,"E^(1 + x - (4*Log[Log[(1 + x)^4]]^2)/3)","A",1
592,1,58,37,0.2490113,"\int \frac{100-100 x^2+e^{6-2 e^3-2 x} \left(50 x^2+50 x^3\right)+e^{3-e^3-x} \left(150 x+50 x^2-50 x^3-50 x^4\right)}{x^5} \, dx","Integrate[(100 - 100*x^2 + E^(6 - 2*E^3 - 2*x)*(50*x^2 + 50*x^3) + E^(3 - E^3 - x)*(150*x + 50*x^2 - 50*x^3 - 50*x^4))/x^5,x]","-50 \left(\frac{1}{2 x^4}+\frac{e^{-2 x-2 e^3+6}}{2 x^2}-\frac{1}{x^2}-\frac{e^{-x-e^3+3} \left(x^3-x\right)}{x^4}\right)","-\frac{\left(5-5 \left(-\frac{1-x}{x}-e^{-x-e^3+3}+x\right)\right)^2}{x^2}",1,"-50*(1/(2*x^4) - x^(-2) + E^(6 - 2*E^3 - 2*x)/(2*x^2) - (E^(3 - E^3 - x)*(-x + x^3))/x^4)","A",1
593,1,28,23,0.7368963,"\int \frac{\exp \left(e^{\frac{-4 x^2+4 x^4+e^4 (1+x)}{4 x}}+\frac{-4 x^2+4 x^4+e^4 (1+x)}{4 x}\right) \left(-e^4-4 x^2+12 x^4\right)}{4 x^2} \, dx","Integrate[(E^(E^((-4*x^2 + 4*x^4 + E^4*(1 + x))/(4*x)) + (-4*x^2 + 4*x^4 + E^4*(1 + x))/(4*x))*(-E^4 - 4*x^2 + 12*x^4))/(4*x^2),x]","e^{e^{x^3-x+\frac{e^4}{4 x}+\frac{e^4}{4}}}","e^{e^{\left(\frac{e^4}{4 x^2}+x-1\right) \left(x^2+x\right)}}",1,"E^E^(E^4/4 + E^4/(4*x) - x + x^3)","A",1
594,1,20,20,0.125757,"\int \frac{-x-6 x \log (3 x)+2 x \log (3 x) \log \left(\frac{1}{4} \log (3 x)\right)}{45 \log (3 x)-30 \log (3 x) \log \left(\frac{1}{4} \log (3 x)\right)+5 \log (3 x) \log ^2\left(\frac{1}{4} \log (3 x)\right)} \, dx","Integrate[(-x - 6*x*Log[3*x] + 2*x*Log[3*x]*Log[Log[3*x]/4])/(45*Log[3*x] - 30*Log[3*x]*Log[Log[3*x]/4] + 5*Log[3*x]*Log[Log[3*x]/4]^2),x]","\frac{x^2}{5 \left(\log \left(\frac{1}{4} \log (3 x)\right)-3\right)}","\frac{x^2}{5 \left(\log \left(\frac{1}{4} \log (3 x)\right)-3\right)}",1,"x^2/(5*(-3 + Log[Log[3*x]/4]))","A",1
595,1,59,25,0.4700846,"\int \frac{\exp \left(\frac{41958+104976 x+122472 x^2+81648 x^3+34020 x^4+9072 x^5+1512 x^6+144 x^7+6 x^8}{19683 x+52488 x^2+61236 x^3+40824 x^4+17010 x^5+4536 x^6+756 x^7+72 x^8+3 x^9+e^{2 x} \left(6561 x+17496 x^2+20412 x^3+13608 x^4+5670 x^5+1512 x^6+252 x^7+24 x^8+x^9\right)}\right) \left(-377622-1132866 x-1417176 x^2-1102248 x^3-551124 x^4-183708 x^5-40824 x^6-5832 x^7-486 x^8-18 x^9+e^{2 x} \left(-125874-629370 x-1186164 x^2-1312200 x^3-918540 x^4-428652 x^5-136080 x^6-29160 x^7-4050 x^8-330 x^9-12 x^{10}\right)\right)}{177147 x^2+531441 x^3+708588 x^4+551124 x^5+275562 x^6+91854 x^7+20412 x^8+2916 x^9+243 x^{10}+9 x^{11}+e^{4 x} \left(19683 x^2+59049 x^3+78732 x^4+61236 x^5+30618 x^6+10206 x^7+2268 x^8+324 x^9+27 x^{10}+x^{11}\right)+e^{2 x} \left(118098 x^2+354294 x^3+472392 x^4+367416 x^5+183708 x^6+61236 x^7+13608 x^8+1944 x^9+162 x^{10}+6 x^{11}\right)} \, dx","Integrate[(E^((41958 + 104976*x + 122472*x^2 + 81648*x^3 + 34020*x^4 + 9072*x^5 + 1512*x^6 + 144*x^7 + 6*x^8)/(19683*x + 52488*x^2 + 61236*x^3 + 40824*x^4 + 17010*x^5 + 4536*x^6 + 756*x^7 + 72*x^8 + 3*x^9 + E^(2*x)*(6561*x + 17496*x^2 + 20412*x^3 + 13608*x^4 + 5670*x^5 + 1512*x^6 + 252*x^7 + 24*x^8 + x^9)))*(-377622 - 1132866*x - 1417176*x^2 - 1102248*x^3 - 551124*x^4 - 183708*x^5 - 40824*x^6 - 5832*x^7 - 486*x^8 - 18*x^9 + E^(2*x)*(-125874 - 629370*x - 1186164*x^2 - 1312200*x^3 - 918540*x^4 - 428652*x^5 - 136080*x^6 - 29160*x^7 - 4050*x^8 - 330*x^9 - 12*x^10)))/(177147*x^2 + 531441*x^3 + 708588*x^4 + 551124*x^5 + 275562*x^6 + 91854*x^7 + 20412*x^8 + 2916*x^9 + 243*x^10 + 9*x^11 + E^(4*x)*(19683*x^2 + 59049*x^3 + 78732*x^4 + 61236*x^5 + 30618*x^6 + 10206*x^7 + 2268*x^8 + 324*x^9 + 27*x^10 + x^11) + E^(2*x)*(118098*x^2 + 354294*x^3 + 472392*x^4 + 367416*x^5 + 183708*x^6 + 61236*x^7 + 13608*x^8 + 1944*x^9 + 162*x^10 + 6*x^11)),x]","\exp \left(\frac{6 \left(x^8+24 x^7+252 x^6+1512 x^5+5670 x^4+13608 x^3+20412 x^2+17496 x+6993\right)}{\left(e^{2 x}+3\right) x (x+3)^8}\right)","e^{\frac{2 \left(\frac{1296}{(x+3)^8}+3\right)}{\left(e^{2 x}+3\right) x}}",1,"E^((6*(6993 + 17496*x + 20412*x^2 + 13608*x^3 + 5670*x^4 + 1512*x^5 + 252*x^6 + 24*x^7 + x^8))/((3 + E^(2*x))*x*(3 + x)^8))","B",1
596,1,42,20,0.0607545,"\int \frac{-x+3 x^2+\left(-12+33 x+9 x^2\right) \log (4+x)+\left(-12 x-3 x^2\right) \log (4+x) \log \left(\frac{3}{5 x^3 \log (4+x)}\right)}{\left(4 x+x^2\right) \log (4+x)} \, dx","Integrate[(-x + 3*x^2 + (-12 + 33*x + 9*x^2)*Log[4 + x] + (-12*x - 3*x^2)*Log[4 + x]*Log[3/(5*x^3*Log[4 + x])])/((4*x + x^2)*Log[4 + x]),x]","-3 \text{Ei}(\log (x+4))+3 \text{li}(x+4)-3 x \log \left(\frac{3}{5 x^3 \log (x+4)}\right)-3 \log (x)-\log (\log (x+4))","(1-3 x) \log \left(\frac{3}{5 x^3 \log (x+4)}\right)",1,"-3*ExpIntegralEi[Log[4 + x]] - 3*Log[x] - 3*x*Log[3/(5*x^3*Log[4 + x])] - Log[Log[4 + x]] + 3*LogIntegral[4 + x]","C",1
597,1,20,19,0.0930896,"\int \frac{4+6 x+4 \log \left(-\frac{x^2}{\log (5)}\right)}{x^2+x \log \left(-\frac{x^2}{\log (5)}\right)} \, dx","Integrate[(4 + 6*x + 4*Log[-(x^2/Log[5])])/(x^2 + x*Log[-(x^2/Log[5])]),x]","2 \log \left(\log \left(-\frac{x^2}{\log (5)}\right)+x\right)+4 \log (x)","\log \left(x^4 \left(\log \left(-\frac{x^2}{\log (5)}\right)+x\right)^2\right)",1,"4*Log[x] + 2*Log[x + Log[-(x^2/Log[5])]]","A",1
598,1,21,21,0.1983213,"\int \frac{(12+6 x) \log ^2\left(\frac{x}{2+x}\right)+e^{\frac{5 x}{\log \left(\frac{x}{2+x}\right)}} \left(-20+(20+10 x) \log \left(\frac{x}{2+x}\right)\right)}{(2+x) \log ^2\left(\frac{x}{2+x}\right)} \, dx","Integrate[((12 + 6*x)*Log[x/(2 + x)]^2 + E^((5*x)/Log[x/(2 + x)])*(-20 + (20 + 10*x)*Log[x/(2 + x)]))/((2 + x)*Log[x/(2 + x)]^2),x]","6 x+2 e^{\frac{5 x}{\log \left(\frac{x}{x+2}\right)}}","2 \left(3 x+e^{\frac{5 x}{\log \left(\frac{x}{x+2}\right)}}\right)",1,"2*E^((5*x)/Log[x/(2 + x)]) + 6*x","A",1
599,1,28,28,0.7293241,"\int \frac{\exp \left(-\frac{e^3 \left(-3 x+x^3\right)}{1+e^3 \left(36 x-24 x^2+4 x^3\right)}\right) \left(e^3 \left(3-3 x^2\right)+e^6 \left(72 x^2-96 x^3+24 x^4\right)\right)}{1+e^3 \left(72 x-48 x^2+8 x^3\right)+e^6 \left(1296 x^2-1728 x^3+864 x^4-192 x^5+16 x^6\right)} \, dx","Integrate[(E^3*(3 - 3*x^2) + E^6*(72*x^2 - 96*x^3 + 24*x^4))/(E^((E^3*(-3*x + x^3))/(1 + E^3*(36*x - 24*x^2 + 4*x^3)))*(1 + E^3*(72*x - 48*x^2 + 8*x^3) + E^6*(1296*x^2 - 1728*x^3 + 864*x^4 - 192*x^5 + 16*x^6))),x]","e^{-\frac{e^3 x \left(x^2-3\right)}{4 e^3 x (x-3)^2+1}}","e^{-\frac{x^2-3}{(6-2 x)^2+\frac{1}{e^3 x}}}+4",1,"E^(-((E^3*x*(-3 + x^2))/(1 + 4*E^3*(-3 + x)^2*x)))","A",1
600,1,30,21,0.1626355,"\int \frac{-8 e+8 x^2+\left(-8 e+8 x^2\right) \log (x)+\left(32 x+16 x^2 \log (x)\right) \log (4+2 x \log (x))}{6+3 x \log (x)} \, dx","Integrate[(-8*E + 8*x^2 + (-8*E + 8*x^2)*Log[x] + (32*x + 16*x^2*Log[x])*Log[4 + 2*x*Log[x]])/(6 + 3*x*Log[x]),x]","8 \left(\frac{1}{3} x^2 \log (2 x \log (x)+4)-\frac{1}{3} e \log (x \log (x)+2)\right)","\frac{8}{3} x \left(x-\frac{e}{x}\right) \log (2 x \log (x)+4)",1,"8*(-1/3*(E*Log[2 + x*Log[x]]) + (x^2*Log[4 + 2*x*Log[x]])/3)","A",1
601,1,32,24,0.4519838,"\int \frac{\exp \left(\frac{1}{9 x+6 x^2+x^3+\frac{e^{5+x} \left(-6 x-2 x^2\right) (1+x \log (x))}{\log (x)}+\frac{e^{10+2 x} x (1+x \log (x))^2}{\log ^2(x)}}\right) \left((3+3 x) \log (x)+\left(3 x+3 x^2\right) \log ^2(x)+\frac{e^{5+x} (1+x \log (x)) \left(2+(-1-2 x) \log (x)+\left(-3 x-2 x^2\right) \log ^2(x)\right)}{\log (x)}\right)}{\left(-27 x^2-27 x^3-9 x^4-x^5\right) \log (x)+\left(-27 x^3-27 x^4-9 x^5-x^6\right) \log ^2(x)+\frac{e^{15+3 x} (1+x \log (x))^3 \left(x^2 \log (x)+x^3 \log ^2(x)\right)}{\log ^3(x)}+\frac{e^{10+2 x} (1+x \log (x))^2 \left(\left(-9 x^2-3 x^3\right) \log (x)+\left(-9 x^3-3 x^4\right) \log ^2(x)\right)}{\log ^2(x)}+\frac{e^{5+x} (1+x \log (x)) \left(\left(27 x^2+18 x^3+3 x^4\right) \log (x)+\left(27 x^3+18 x^4+3 x^5\right) \log ^2(x)\right)}{\log (x)}} \, dx","Integrate[(E^(9*x + 6*x^2 + x^3 + (E^(5 + x)*(-6*x - 2*x^2)*(1 + x*Log[x]))/Log[x] + (E^(10 + 2*x)*x*(1 + x*Log[x])^2)/Log[x]^2)^(-1)*((3 + 3*x)*Log[x] + (3*x + 3*x^2)*Log[x]^2 + (E^(5 + x)*(1 + x*Log[x])*(2 + (-1 - 2*x)*Log[x] + (-3*x - 2*x^2)*Log[x]^2))/Log[x]))/((-27*x^2 - 27*x^3 - 9*x^4 - x^5)*Log[x] + (-27*x^3 - 27*x^4 - 9*x^5 - x^6)*Log[x]^2 + (E^(15 + 3*x)*(1 + x*Log[x])^3*(x^2*Log[x] + x^3*Log[x]^2))/Log[x]^3 + (E^(10 + 2*x)*(1 + x*Log[x])^2*((-9*x^2 - 3*x^3)*Log[x] + (-9*x^3 - 3*x^4)*Log[x]^2))/Log[x]^2 + (E^(5 + x)*(1 + x*Log[x])*((27*x^2 + 18*x^3 + 3*x^4)*Log[x] + (27*x^3 + 18*x^4 + 3*x^5)*Log[x]^2))/Log[x]),x]","\exp \left(\frac{\log ^2(x)}{x \left(e^{x+5}+\left(\left(e^{x+5}-1\right) x-3\right) \log (x)\right)^2}\right)","e^{\frac{1}{x \left(x-e^{x+5} \left(x+\frac{1}{\log (x)}\right)+3\right)^2}}",1,"E^(Log[x]^2/(x*(E^(5 + x) + (-3 + (-1 + E^(5 + x))*x)*Log[x])^2))","A",1
602,1,23,13,10.0912812,"\int \frac{4335+289 x+\left(-289 x+5 x^2\right) \log \left(\frac{-289+5 x}{x}\right) \log \left(\log \left(\frac{-289+5 x}{x}\right)\right)}{\left(-289 x+5 x^2\right) \log \left(\frac{-289+5 x}{x}\right)} \, dx","Integrate[(4335 + 289*x + (-289*x + 5*x^2)*Log[(-289 + 5*x)/x]*Log[Log[(-289 + 5*x)/x]])/((-289*x + 5*x^2)*Log[(-289 + 5*x)/x]),x]","x \log \left(\log \left(5-\frac{289}{x}\right)\right)+15 \log \left(\log \left(5-\frac{289}{x}\right)\right)","(x+15) \log \left(\log \left(5-\frac{289}{x}\right)\right)",1,"15*Log[Log[5 - 289/x]] + x*Log[Log[5 - 289/x]]","A",1
603,1,29,30,0.3960831,"\int \frac{1+e^x (3-x)+e^{288-432 x+162 x^2} \left(6485+e^x (15-5 x)-7020 x+1620 x^2\right)}{-3+x+e^{288-432 x+162 x^2} (-15+5 x)} \, dx","Integrate[(1 + E^x*(3 - x) + E^(288 - 432*x + 162*x^2)*(6485 + E^x*(15 - 5*x) - 7020*x + 1620*x^2))/(-3 + x + E^(288 - 432*x + 162*x^2)*(-15 + 5*x)),x]","\log \left(5 e^{162 x^2-432 x+288}+1\right)-e^x+\log (3-x)","\log \left(5 e^{18 (3 x-4)^2} (3-x)-x+3\right)-e^x",1,"-E^x + Log[1 + 5*E^(288 - 432*x + 162*x^2)] + Log[3 - x]","A",1
604,1,28,31,0.1266931,"\int \frac{e^{\frac{5}{3}+\frac{x-\log \left(x^2\right)}{x}} x+x \log (x)+\left(x \log \left(\frac{5}{x}\right)+e^{\frac{x-\log \left(x^2\right)}{x}} \left(-2 e^{5/3} \log \left(\frac{5}{x}\right)+e^{5/3} \log \left(\frac{5}{x}\right) \log \left(x^2\right)\right)\right) \log \left(\log \left(\frac{5}{x}\right)\right)}{x^2 \log \left(\frac{5}{x}\right) \log ^2\left(\log \left(\frac{5}{x}\right)\right)} \, dx","Integrate[(E^(5/3 + (x - Log[x^2])/x)*x + x*Log[x] + (x*Log[5/x] + E^((x - Log[x^2])/x)*(-2*E^(5/3)*Log[5/x] + E^(5/3)*Log[5/x]*Log[x^2]))*Log[Log[5/x]])/(x^2*Log[5/x]*Log[Log[5/x]]^2),x]","\frac{e^{8/3} \left(x^2\right)^{-1/x}+\log (x)}{\log \left(\log \left(\frac{5}{x}\right)\right)}","\frac{e^{\frac{x-\log \left(x^2\right)}{x}+\frac{5}{3}}+\log (x)}{\log \left(\log \left(\frac{5}{x}\right)\right)}",1,"(E^(8/3)/(x^2)^x^(-1) + Log[x])/Log[Log[5/x]]","A",1
605,1,22,22,0.6570904,"\int \frac{\exp \left(\frac{-10+\left(2 x^4+\log (x)\right) \log (4 x \log (x))}{2 \log (4 x \log (x))}\right) \left(10+10 \log (x)+\left(1+8 x^4\right) \log (x) \log ^2(4 x \log (x))\right)}{2 x \log (x) \log ^2(4 x \log (x))} \, dx","Integrate[(E^((-10 + (2*x^4 + Log[x])*Log[4*x*Log[x]])/(2*Log[4*x*Log[x]]))*(10 + 10*Log[x] + (1 + 8*x^4)*Log[x]*Log[4*x*Log[x]]^2))/(2*x*Log[x]*Log[4*x*Log[x]]^2),x]","\sqrt{x} e^{x^4-\frac{5}{\log (4 x \log (x))}}","\sqrt{x} e^{x^4-\frac{5}{\log (4 x \log (x))}}",1,"E^(x^4 - 5/Log[4*x*Log[x]])*Sqrt[x]","A",1
606,0,0,22,3.4608234,"\int \frac{-4-x+2^x e^{-2+2^x x^{2+x}} x^x \left(6 x+5 x^2+x^3+\left(3 x^2+x^3\right) \log (2 x)\right)}{-3 x-x^2+e^{-2+2^x x^{2+x}} (3+x)+(-3-x) \log (3+x)} \, dx","Integrate[(-4 - x + 2^x*E^(-2 + 2^x*x^(2 + x))*x^x*(6*x + 5*x^2 + x^3 + (3*x^2 + x^3)*Log[2*x]))/(-3*x - x^2 + E^(-2 + 2^x*x^(2 + x))*(3 + x) + (-3 - x)*Log[3 + x]),x]","\int \frac{-4-x+2^x e^{-2+2^x x^{2+x}} x^x \left(6 x+5 x^2+x^3+\left(3 x^2+x^3\right) \log (2 x)\right)}{-3 x-x^2+e^{-2+2^x x^{2+x}} (3+x)+(-3-x) \log (3+x)} \, dx","\log \left(-e^{2^x x^{x+2}-2}+x+\log (x+3)\right)",1,"Integrate[(-4 - x + 2^x*E^(-2 + 2^x*x^(2 + x))*x^x*(6*x + 5*x^2 + x^3 + (3*x^2 + x^3)*Log[2*x]))/(-3*x - x^2 + E^(-2 + 2^x*x^(2 + x))*(3 + x) + (-3 - x)*Log[3 + x]), x]","F",-1
607,1,3,5,0.0040576,"\int \frac{1}{x \log (x)} \, dx","Integrate[1/(x*Log[x]),x]","\log (\log (x))","\log (-\log (x))",1,"Log[Log[x]]","A",1
608,1,31,31,0.0621637,"\int \frac{630-172 x+65 x^2+5 x^4+e^x \left(405+90 x^2+5 x^4\right)}{405+90 x^2+5 x^4} \, dx","Integrate[(630 - 172*x + 65*x^2 + 5*x^4 + E^x*(405 + 90*x^2 + 5*x^4))/(405 + 90*x^2 + 5*x^4),x]","\frac{5 x^3+5 e^x \left(x^2+9\right)+70 x+86}{5 \left(x^2+9\right)}","-\frac{2 x^2+(3-x)^2+x+\frac{4}{5}}{x^2+9}+x+e^x",1,"(86 + 70*x + 5*x^3 + 5*E^x*(9 + x^2))/(5*(9 + x^2))","A",1
609,1,16,16,0.0227969,"\int 4\ 3^{-1-e^4+x} e^{3^{-1-e^4+x} \left(4+2\ 3^{1+e^4-x}\right)} \log (3) \, dx","Integrate[4*3^(-1 - E^4 + x)*E^(3^(-1 - E^4 + x)*(4 + 2*3^(1 + E^4 - x)))*Log[3],x]","e^{4\ 3^{x-e^4-1}+2}","e^{4\ 3^{x-e^4-1}+2}",1,"E^(2 + 4*3^(-1 - E^4 + x))","A",1
610,1,22,22,0.0705677,"\int \frac{-9+x+7 x^2-2 x^3+e^x \left(3 x-x^2\right)}{-3 x+x^2} \, dx","Integrate[(-9 + x + 7*x^2 - 2*x^3 + E^x*(3*x - x^2))/(-3*x + x^2),x]","-x^2+x-e^x+\log (3-x)+3 \log (x)","\log \left(e^{-x^2} (x-3) x^3\right)+x-e^x",1,"-E^x + x - x^2 + Log[3 - x] + 3*Log[x]","A",1
611,1,26,31,0.1725216,"\int \frac{40+e^{-5+x} (-20-10 x)+20 x+\left(-40-40 x+e^{-5+x} \left(20+20 x+10 x^2+5 x^3\right)\right) \log (x)+\log \left(2-e^{-5+x}\right) \left(-20 x-10 x^2+e^{-5+x} \left(10 x+5 x^2\right)+\left(10 x^2-5 e^{-5+x} x^2\right) \log (x)\right)}{\left(-8+4 e^{-5+x}\right) \log ^2(x)+\left(8 x-4 e^{-5+x} x\right) \log \left(2-e^{-5+x}\right) \log ^2(x)+\left(-2 x^2+e^{-5+x} x^2\right) \log ^2\left(2-e^{-5+x}\right) \log ^2(x)} \, dx","Integrate[(40 + E^(-5 + x)*(-20 - 10*x) + 20*x + (-40 - 40*x + E^(-5 + x)*(20 + 20*x + 10*x^2 + 5*x^3))*Log[x] + Log[2 - E^(-5 + x)]*(-20*x - 10*x^2 + E^(-5 + x)*(10*x + 5*x^2) + (10*x^2 - 5*E^(-5 + x)*x^2)*Log[x]))/((-8 + 4*E^(-5 + x))*Log[x]^2 + (8*x - 4*E^(-5 + x)*x)*Log[2 - E^(-5 + x)]*Log[x]^2 + (-2*x^2 + E^(-5 + x)*x^2)*Log[2 - E^(-5 + x)]^2*Log[x]^2),x]","-\frac{5 x (x+2)}{\left(x \log \left(2-e^{x-5}\right)-2\right) \log (x)}","\frac{5 (x+2)}{\left(\frac{2}{x}-\log \left(2-e^{x-5}\right)\right) \log (x)}+4",1,"(-5*x*(2 + x))/((-2 + x*Log[2 - E^(-5 + x)])*Log[x])","A",1
612,1,35,32,0.8854797,"\int \frac{-2 e^{8+\frac{2 \left(2+3 x-e^x x\right)}{x}} x^3+e^{\frac{2+3 x-e^x x}{x}} \left(-10 e^{4+x} x^2+e^4 (-20+10 x)\right)}{25 x+10 e^{4+\frac{2+3 x-e^x x}{x}} x^3+e^{8+\frac{2 \left(2+3 x-e^x x\right)}{x}} x^5} \, dx","Integrate[(-2*E^(8 + (2*(2 + 3*x - E^x*x))/x)*x^3 + E^((2 + 3*x - E^x*x)/x)*(-10*E^(4 + x)*x^2 + E^4*(-20 + 10*x)))/(25*x + 10*E^(4 + (2 + 3*x - E^x*x)/x)*x^3 + E^(8 + (2*(2 + 3*x - E^x*x))/x)*x^5),x]","\frac{2 e^{\frac{2}{x}+7} x}{e^{\frac{2}{x}+7} x^2+5 e^{e^x}}","\frac{2}{x+\frac{5 e^{-\frac{\left(2-e^x\right) x+x+2}{x}-4}}{x}}",1,"(2*E^(7 + 2/x)*x)/(5*E^E^x + E^(7 + 2/x)*x^2)","A",1
613,1,13,13,0.0030391,"\int \frac{-3+e^5+x^2}{x^2} \, dx","Integrate[(-3 + E^5 + x^2)/x^2,x]","x+\frac{3-e^5}{x}","x+\frac{3-e^5}{x}",1,"(3 - E^5)/x + x","A",1
614,1,33,24,0.0182266,"\int \frac{-30 e^3 x+e^6 x^4+\left(-15+2 e^3 x^3\right) \log (\log (2))+x^2 \log ^2(\log (2))}{e^6 x^4+2 e^3 x^3 \log (\log (2))+x^2 \log ^2(\log (2))} \, dx","Integrate[(-30*E^3*x + E^6*x^4 + (-15 + 2*E^3*x^3)*Log[Log[2]] + x^2*Log[Log[2]]^2)/(E^6*x^4 + 2*E^3*x^3*Log[Log[2]] + x^2*Log[Log[2]]^2),x]","x-\frac{15 e^3}{\log (\log (2)) \left(e^3 x+\log (\log (2))\right)}+\frac{15}{x \log (\log (2))}","x-\frac{15 \left(2 x-\frac{1}{e^3 x+\log (\log (2))}\right)}{x}",1,"x + 15/(x*Log[Log[2]]) - (15*E^3)/(Log[Log[2]]*(E^3*x + Log[Log[2]]))","A",1
615,1,39,29,0.0039689,"\int \frac{-6-12 x-3 x^2+e^4 (6+10 x)}{-6+6 e^4} \, dx","Integrate[(-6 - 12*x - 3*x^2 + E^4*(6 + 10*x))/(-6 + 6*E^4),x]","\frac{-x^3+5 e^4 x^2-6 x^2+6 e^4 x-6 x}{6 \left(e^4-1\right)}","\frac{1}{6} \left(\frac{1}{4} (4 x+4) \left(\frac{x}{1-e^4}+5\right) x+x\right)",1,"(-6*x + 6*E^4*x - 6*x^2 + 5*E^4*x^2 - x^3)/(6*(-1 + E^4))","A",1
616,1,24,26,0.9385392,"\int \frac{\left(-1+e^x (1+x)\right) \log \left(e^{-x} \left(1+e^x (-1-x)\right)\right)+\left(\left(-x-e^x x\right) \log (x)+\left(-1+e^x (1+x)\right) \log \left(e^{-x} \left(1+e^x (-1-x)\right)\right) \log (x)\right) \log \left(\frac{3}{\log (x)}\right)}{\left(-1+e^x (1+x)\right) \log ^2\left(e^{-x} \left(1+e^x (-1-x)\right)\right) \log (x) \log ^2\left(\frac{3}{\log (x)}\right)} \, dx","Integrate[((-1 + E^x*(1 + x))*Log[(1 + E^x*(-1 - x))/E^x] + ((-x - E^x*x)*Log[x] + (-1 + E^x*(1 + x))*Log[(1 + E^x*(-1 - x))/E^x]*Log[x])*Log[3/Log[x]])/((-1 + E^x*(1 + x))*Log[(1 + E^x*(-1 - x))/E^x]^2*Log[x]*Log[3/Log[x]]^2),x]","\frac{x}{\log \left(-x+e^{-x}-1\right) \log \left(\frac{3}{\log (x)}\right)}","\frac{x}{\log \left(-x+e^{-x}-1\right) \log \left(\frac{3}{\log (x)}\right)}-4",1,"x/(Log[-1 + E^(-x) - x]*Log[3/Log[x]])","A",1
617,1,27,29,0.1944534,"\int \frac{-12 x^2-4 x^3-2 x^4+e^3 \left(5+12 x+4 x^2+2 x^3\right)+\left(-6 x^2-2 x^3-x^4+e^3 \left(6 x+2 x^2+x^3\right)\right) \log \left(\frac{-e^3+x}{x}\right)+\left(4 x^2+4 x^3+e^3 \left(-4 x-4 x^2\right)+\left(2 x^2+2 x^3+e^3 \left(-2 x-2 x^2\right)\right) \log \left(\frac{-e^3+x}{x}\right)\right) \log \left(8+4 \log \left(\frac{-e^3+x}{x}\right)\right)+\left(2 e^3 x-2 x^2+\left(e^3 x-x^2\right) \log \left(\frac{-e^3+x}{x}\right)\right) \log ^2\left(8+4 \log \left(\frac{-e^3+x}{x}\right)\right)}{-2 x^2-4 x^3-2 x^4+e^3 \left(2 x+4 x^2+2 x^3\right)+\left(-x^2-2 x^3-x^4+e^3 \left(x+2 x^2+x^3\right)\right) \log \left(\frac{-e^3+x}{x}\right)+\left(4 x^2+4 x^3+e^3 \left(-4 x-4 x^2\right)+\left(2 x^2+2 x^3+e^3 \left(-2 x-2 x^2\right)\right) \log \left(\frac{-e^3+x}{x}\right)\right) \log \left(8+4 \log \left(\frac{-e^3+x}{x}\right)\right)+\left(2 e^3 x-2 x^2+\left(e^3 x-x^2\right) \log \left(\frac{-e^3+x}{x}\right)\right) \log ^2\left(8+4 \log \left(\frac{-e^3+x}{x}\right)\right)} \, dx","Integrate[(-12*x^2 - 4*x^3 - 2*x^4 + E^3*(5 + 12*x + 4*x^2 + 2*x^3) + (-6*x^2 - 2*x^3 - x^4 + E^3*(6*x + 2*x^2 + x^3))*Log[(-E^3 + x)/x] + (4*x^2 + 4*x^3 + E^3*(-4*x - 4*x^2) + (2*x^2 + 2*x^3 + E^3*(-2*x - 2*x^2))*Log[(-E^3 + x)/x])*Log[8 + 4*Log[(-E^3 + x)/x]] + (2*E^3*x - 2*x^2 + (E^3*x - x^2)*Log[(-E^3 + x)/x])*Log[8 + 4*Log[(-E^3 + x)/x]]^2)/(-2*x^2 - 4*x^3 - 2*x^4 + E^3*(2*x + 4*x^2 + 2*x^3) + (-x^2 - 2*x^3 - x^4 + E^3*(x + 2*x^2 + x^3))*Log[(-E^3 + x)/x] + (4*x^2 + 4*x^3 + E^3*(-4*x - 4*x^2) + (2*x^2 + 2*x^3 + E^3*(-2*x - 2*x^2))*Log[(-E^3 + x)/x])*Log[8 + 4*Log[(-E^3 + x)/x]] + (2*E^3*x - 2*x^2 + (E^3*x - x^2)*Log[(-E^3 + x)/x])*Log[8 + 4*Log[(-E^3 + x)/x]]^2),x]","x+\frac{5}{-x+\log \left(4 \left(\log \left(1-\frac{e^3}{x}\right)+2\right)\right)-1}","x+\frac{5}{-x+\log \left(4 \left(\log \left(\frac{x-e^3}{x}\right)+2\right)\right)-1}-1",1,"x + 5/(-1 - x + Log[4*(2 + Log[1 - E^3/x])])","A",1
618,0,0,23,0.5262105,"\int \frac{1-11 x+4 x^2+(-8-8 x) \log (2+2 x)+(-20-20 x) \log ^2(2+2 x)}{-15-4 x+9 x^2-2 x^3+\left(-60-28 x+28 x^2-4 x^3\right) \log (2+2 x)+\left(-60-40 x+20 x^2\right) \log ^2(2+2 x)} \, dx","Integrate[(1 - 11*x + 4*x^2 + (-8 - 8*x)*Log[2 + 2*x] + (-20 - 20*x)*Log[2 + 2*x]^2)/(-15 - 4*x + 9*x^2 - 2*x^3 + (-60 - 28*x + 28*x^2 - 4*x^3)*Log[2 + 2*x] + (-60 - 40*x + 20*x^2)*Log[2 + 2*x]^2),x]","\int \frac{1-11 x+4 x^2+(-8-8 x) \log (2+2 x)+(-20-20 x) \log ^2(2+2 x)}{-15-4 x+9 x^2-2 x^3+\left(-60-28 x+28 x^2-4 x^3\right) \log (2+2 x)+\left(-60-40 x+20 x^2\right) \log ^2(2+2 x)} \, dx","\log \left(\frac{\frac{x}{\log (2 x+2)+\frac{1}{2}}-5}{x-3}\right)",1,"Integrate[(1 - 11*x + 4*x^2 + (-8 - 8*x)*Log[2 + 2*x] + (-20 - 20*x)*Log[2 + 2*x]^2)/(-15 - 4*x + 9*x^2 - 2*x^3 + (-60 - 28*x + 28*x^2 - 4*x^3)*Log[2 + 2*x] + (-60 - 40*x + 20*x^2)*Log[2 + 2*x]^2), x]","F",-1
619,1,26,23,0.1722904,"\int \frac{588 x-294 x^2+44 x^3-2 x^4+e^{x/2} \left(-1176+854 x-217 x^2+24 x^3-x^4\right)}{-432 x^3+216 x^4-36 x^5+2 x^6} \, dx","Integrate[(588*x - 294*x^2 + 44*x^3 - 2*x^4 + E^(x/2)*(-1176 + 854*x - 217*x^2 + 24*x^3 - x^4))/(-432*x^3 + 216*x^4 - 36*x^5 + 2*x^6),x]","-\frac{\left(e^{x/2}-x\right) (x-7)^2}{(x-6)^2 x^2}","\frac{x-e^{x/2}}{\left(\frac{x}{x-7}+x\right)^2}",1,"-(((E^(x/2) - x)*(-7 + x)^2)/((-6 + x)^2*x^2))","A",1
620,1,55,30,0.0222611,"\int \frac{51 x^5+98 x^6+\left(1920 x^2+2240 x^3+240 x^5+1120 x^6\right) \log (5)+\left(-102400+12800 x^3+3200 x^6\right) \log ^2(5)}{9 x^5} \, dx","Integrate[(51*x^5 + 98*x^6 + (1920*x^2 + 2240*x^3 + 240*x^5 + 1120*x^6)*Log[5] + (-102400 + 12800*x^3 + 3200*x^6)*Log[5]^2)/(9*x^5),x]","\frac{1}{9} \left(\frac{25600 \log ^2(5)}{x^4}+x^2 (7+40 \log (5))^2-\frac{960 \log (5)}{x^2}+3 x (17+80 \log (5))-\frac{320 \log (5) (7+40 \log (5))}{x}\right)","\left(-\frac{10}{3} \left(4 \left(\frac{4}{x^2}-x\right) \log (5)-x\right)-x+1\right)^2+x",1,"((-960*Log[5])/x^2 + (25600*Log[5]^2)/x^4 - (320*Log[5]*(7 + 40*Log[5]))/x + x^2*(7 + 40*Log[5])^2 + 3*x*(17 + 80*Log[5]))/9","A",1
621,1,37,29,0.1778999,"\int \frac{e^4 x^2+e^{2 x} \left(-16+32 x-16 e^2 x^2+e^4 \left(1-2 x+3 x^2+2 x^3\right)\right) \log ^2(2)}{e^4 x^2} \, dx","Integrate[(E^4*x^2 + E^(2*x)*(-16 + 32*x - 16*E^2*x^2 + E^4*(1 - 2*x + 3*x^2 + 2*x^3))*Log[2]^2)/(E^4*x^2),x]","x+e^{2 x} \left(x+\frac{16-e^4}{e^4 x}+\frac{e^2-8}{e^2}\right) \log ^2(2)","x+\frac{e^{2 x} \left(\left(\frac{4}{e^2}-x\right)^2+x-1\right) \log ^2(2)}{x}",1,"x + E^(2*x)*((-8 + E^2)/E^2 + (16 - E^4)/(E^4*x) + x)*Log[2]^2","A",1
622,1,11,11,0.0510543,"\int \frac{4+x^4+\left(4 x+4 x^4+x^5\right) \log (x)}{\left(4 x+x^5\right) \log (x)} \, dx","Integrate[(4 + x^4 + (4*x + 4*x^4 + x^5)*Log[x])/((4*x + x^5)*Log[x]),x]","\log \left(x^4+4\right)+x+\log (\log (x))","\log \left(\left(x^4+4\right) \log (x)\right)+x",1,"x + Log[4 + x^4] + Log[Log[x]]","A",1
623,1,22,26,0.184199,"\int \frac{-2880-1620 x-225 x^2+\left(-2880-1610 x-225 x^2\right) \log \left(\frac{32 x+9 x^2}{36+10 x}\right)}{\left(576 x^2+322 x^3+45 x^4\right) \log ^2\left(\frac{32 x+9 x^2}{36+10 x}\right)} \, dx","Integrate[(-2880 - 1620*x - 225*x^2 + (-2880 - 1610*x - 225*x^2)*Log[(32*x + 9*x^2)/(36 + 10*x)])/((576*x^2 + 322*x^3 + 45*x^4)*Log[(32*x + 9*x^2)/(36 + 10*x)]^2),x]","\frac{5}{x \log \left(\frac{x (9 x+32)}{10 x+36}\right)}","\frac{5}{x \log \left(\frac{x}{-\frac{x}{x+4}-9}+x\right)}+4",1,"5/(x*Log[(x*(32 + 9*x))/(36 + 10*x)])","A",1
624,1,32,21,0.1554861,"\int \frac{4 x+30 x^2+16 x^3+2 x^4+e^x \left(-4+2 x+x^2\right)-x^2 \log (x)}{32 x^2+16 x^3+2 x^4} \, dx","Integrate[(4*x + 30*x^2 + 16*x^3 + 2*x^4 + E^x*(-4 + 2*x + x^2) - x^2*Log[x])/(32*x^2 + 16*x^3 + 2*x^4),x]","\frac{x \left(2 x^2+8 x+3\right)+e^x+x \log (x)}{2 x (x+4)}","x+\frac{\frac{e^x}{x}+\log (x)+3}{2 x+8}",1,"(E^x + x*(3 + 8*x + 2*x^2) + x*Log[x])/(2*x*(4 + x))","A",1
625,1,43,17,0.0100919,"\int \frac{-320+82 x+16 x^2-3 x^3+\left(128-52 x+8 x^2\right) \log (x)-4 x \log ^2(x)}{x} \, dx","Integrate[(-320 + 82*x + 16*x^2 - 3*x^3 + (128 - 52*x + 8*x^2)*Log[x] - 4*x*Log[x]^2)/x,x]","-x^3+6 x^2+4 x^2 \log (x)+126 x-4 x \log ^2(x)+64 \log ^2(x)-44 x \log (x)-320 \log (x)","(16-x) \left((x-2 \log (x)+5)^2+9\right)",1,"126*x + 6*x^2 - x^3 - 320*Log[x] - 44*x*Log[x] + 4*x^2*Log[x] + 64*Log[x]^2 - 4*x*Log[x]^2","B",1
626,1,54,22,0.0269189,"\int \frac{1+2 x^2+2125764 x^3+393660 x^4+5340654 x^5+709344 x^6+4283612 x^7+394200 x^8+1506602 x^9+84636 x^{10}+237168 x^{11}+5832 x^{12}+13122 x^{13}}{x+531441 x^4+78732 x^5+712962 x^6+78840 x^7+357211 x^8+26280 x^9+79218 x^{10}+2916 x^{11}+6561 x^{12}} \, dx","Integrate[(1 + 2*x^2 + 2125764*x^3 + 393660*x^4 + 5340654*x^5 + 709344*x^6 + 4283612*x^7 + 394200*x^8 + 1506602*x^9 + 84636*x^10 + 237168*x^11 + 5832*x^12 + 13122*x^13)/(x + 531441*x^4 + 78732*x^5 + 712962*x^6 + 78840*x^7 + 357211*x^8 + 26280*x^9 + 79218*x^10 + 2916*x^11 + 6561*x^12),x]","x^2+\log \left(6561 x^{11}+2916 x^{10}+79218 x^9+26280 x^8+357211 x^7+78840 x^6+712962 x^5+78732 x^4+531441 x^3+1\right)+\log (x)","x^2+\log \left(x^4 \left(9 \left(x^2+3\right)+x\right)^4+x\right)",1,"x^2 + Log[x] + Log[1 + 531441*x^3 + 78732*x^4 + 712962*x^5 + 78840*x^6 + 357211*x^7 + 26280*x^8 + 79218*x^9 + 2916*x^10 + 6561*x^11]","B",1
627,1,20,28,0.0137042,"\int \frac{-1-e^3-6 x+3 x^2}{-x-2 x^2+3 x^3+e^3 \left(-x+x^2\right)} \, dx","Integrate[(-1 - E^3 - 6*x + 3*x^2)/(-x - 2*x^2 + 3*x^3 + E^3*(-x + x^2)),x]","-\log (1-x)+\log (x)+\log \left(3 x+e^3+1\right)","\log \left(5 e^5 \left(2 x-\left(\frac{4+e^3}{1-x}-1\right) x\right)\right)",1,"-Log[1 - x] + Log[x] + Log[1 + E^3 + 3*x]","A",1
628,1,31,31,1.2988452,"\int \frac{e^{\frac{-1+x^2 \log (2)}{x^2}} \left(8 x-2 x^2-8 x^3+3 x^4+e^{\frac{4}{\log ^2(3)}} \left(-8+2 x+4 x^2-2 x^3\right)\right)}{16 x^6-8 x^7+x^8+e^{\frac{8}{\log ^2(3)}} \left(16 x^4-8 x^5+x^6\right)+e^{\frac{4}{\log ^2(3)}} \left(-32 x^5+16 x^6-2 x^7\right)} \, dx","Integrate[(E^((-1 + x^2*Log[2])/x^2)*(8*x - 2*x^2 - 8*x^3 + 3*x^4 + E^(4/Log[3]^2)*(-8 + 2*x + 4*x^2 - 2*x^3)))/(16*x^6 - 8*x^7 + x^8 + E^(8/Log[3]^2)*(16*x^4 - 8*x^5 + x^6) + E^(4/Log[3]^2)*(-32*x^5 + 16*x^6 - 2*x^7)),x]","\frac{2 e^{-\frac{1}{x^2}}}{(x-4) x \left(e^{\frac{4}{\log ^2(3)}}-x\right)}","\frac{2 e^{-\frac{1}{x^2}}}{(x-4) x \left(e^{\frac{4}{\log ^2(3)}}-x\right)}",1,"2/(E^x^(-2)*(E^(4/Log[3]^2) - x)*(-4 + x)*x)","A",1
629,1,61,35,0.3991552,"\int \frac{\exp \left(\frac{1}{\log \left(\frac{4 x-4 e^{2+e^{e^x}+x} x+e^{2 e^{e^x}+2 x} \left(e^4 x-x^2\right)}{4-4 e^{2+e^{e^x}+x}+e^{4+2 e^{e^x}+2 x}}\right)}\right) \left(8-12 e^{2+e^{e^x}+x}+e^{3 e^{e^x}+3 x} \left(-e^6+2 e^2 x\right)+e^{2 e^{e^x}+2 x} \left(6 e^4-4 x-4 x^2-4 e^{e^x+x} x^2\right)\right)}{\left(-8 x+12 e^{2+e^{e^x}+x} x+e^{2 e^{e^x}+2 x} \left(-6 e^4 x+2 x^2\right)+e^{3 e^{e^x}+3 x} \left(e^6 x-e^2 x^2\right)\right) \log ^2\left(\frac{4 x-4 e^{2+e^{e^x}+x} x+e^{2 e^{e^x}+2 x} \left(e^4 x-x^2\right)}{4-4 e^{2+e^{e^x}+x}+e^{4+2 e^{e^x}+2 x}}\right)} \, dx","Integrate[(E^Log[(4*x - 4*E^(2 + E^E^x + x)*x + E^(2*E^E^x + 2*x)*(E^4*x - x^2))/(4 - 4*E^(2 + E^E^x + x) + E^(4 + 2*E^E^x + 2*x))]^(-1)*(8 - 12*E^(2 + E^E^x + x) + E^(3*E^E^x + 3*x)*(-E^6 + 2*E^2*x) + E^(2*E^E^x + 2*x)*(6*E^4 - 4*x - 4*x^2 - 4*E^(E^x + x)*x^2)))/((-8*x + 12*E^(2 + E^E^x + x)*x + E^(2*E^E^x + 2*x)*(-6*E^4*x + 2*x^2) + E^(3*E^E^x + 3*x)*(E^6*x - E^2*x^2))*Log[(4*x - 4*E^(2 + E^E^x + x)*x + E^(2*E^E^x + 2*x)*(E^4*x - x^2))/(4 - 4*E^(2 + E^E^x + x) + E^(4 + 2*E^E^x + 2*x))]^2),x]","\exp \left(\frac{1}{\log \left(\frac{x \left(-e^{2 \left(x+e^{e^x}\right)} x-4 e^{x+e^{e^x}+2}+e^{2 \left(x+e^{e^x}+2\right)}+4\right)}{\left(e^{x+e^{e^x}+2}-2\right)^2}\right)}\right)","e^{\frac{1}{\log \left(x-\frac{x^2}{\left(2 e^{-x-e^{e^x}}-e^2\right)^2}\right)}}",1,"E^Log[(x*(4 - 4*E^(2 + E^E^x + x) + E^(2*(2 + E^E^x + x)) - E^(2*(E^E^x + x))*x))/(-2 + E^(2 + E^E^x + x))^2]^(-1)","A",1
630,1,20,23,0.0263529,"\int \frac{4 x^3+8 x^4-8 x^5+e^{\frac{625}{x^2}} \left(-3750+15000 x-15000 x^2\right)}{3 x^3-12 x^4+12 x^5} \, dx","Integrate[(4*x^3 + 8*x^4 - 8*x^5 + E^(625/x^2)*(-3750 + 15000*x - 15000*x^2))/(3*x^3 - 12*x^4 + 12*x^5),x]","e^{\frac{625}{x^2}}-\frac{2 x}{3}+\frac{1}{1-2 x}","e^{\frac{625}{x^2}}+\frac{2 x}{1-2 x}-\frac{2 x}{3}",1,"E^(625/x^2) + (1 - 2*x)^(-1) - (2*x)/3","A",1
631,1,40,30,0.0547392,"\int \frac{2 x^2+12 x^3-4 x^5-24 x^6+2 x^8+12 x^9+e^{e^8} \left(-1+2 x^2+4 x^3+4 x^5\right)}{x^2-2 x^5+x^8} \, dx","Integrate[(2*x^2 + 12*x^3 - 4*x^5 - 24*x^6 + 2*x^8 + 12*x^9 + E^E^8*(-1 + 2*x^2 + 4*x^3 + 4*x^5))/(x^2 - 2*x^5 + x^8),x]","6 x^2+\frac{e^{e^8} \left(-x^2-2 x\right)}{x^3-1}+2 x+\frac{e^{e^8}}{x}","\left(2 x^2+1\right) \left(3-\frac{e^{e^8}}{x^4-x}\right)+2 x",1,"E^E^8/x + 2*x + 6*x^2 + (E^E^8*(-2*x - x^2))/(-1 + x^3)","A",1
632,1,21,21,0.1273022,"\int \frac{1}{3} \left(-6+3 e^{-e^{\frac{1}{3} \left(3 x-x^2\right)}+\frac{1}{3} \left(3 x-x^2\right)} (-3+2 x)\right) \, dx","Integrate[(-6 + 3*E^(-E^((3*x - x^2)/3) + (3*x - x^2)/3)*(-3 + 2*x))/3,x]","3 e^{-e^{x-\frac{x^2}{3}}}-2 x","3 e^{-e^{x-\frac{x^2}{3}}}-2 x",1,"3/E^E^(x - x^2/3) - 2*x","A",1
633,1,41,25,0.6781713,"\int \frac{1-2 x+(1-x) \log (16)+(-1+x) \log \left(-\frac{\log (15)}{-1+x}\right)}{-3+4 x-x^2+\left(-3+4 x-x^2\right) \log (16)+\left(-x+x^2\right) \log \left(-\frac{\log (15)}{-1+x}\right)} \, dx","Integrate[(1 - 2*x + (1 - x)*Log[16] + (-1 + x)*Log[-(Log[15]/(-1 + x))])/(-3 + 4*x - x^2 + (-3 + 4*x - x^2)*Log[16] + (-x + x^2)*Log[-(Log[15]/(-1 + x))]),x]","\log \left(-x+(x-1) \log \left(-\frac{\log (15)}{x-1}\right)-(x-1) \log (16)+\log \left(-\frac{\log (15)}{x-1}\right)+3+2 \log (16)\right)","\log \left(-x+\frac{x \log \left(\frac{\log (15)}{1-x}\right)}{1+\log (16)}+3\right)",1,"Log[3 - x + 2*Log[16] - (-1 + x)*Log[16] + Log[-(Log[15]/(-1 + x))] + (-1 + x)*Log[-(Log[15]/(-1 + x))]]","A",1
634,1,36,35,0.4300477,"\int \frac{e^{-\frac{x^2}{e^{2 e^x}-e^2 x+2 x^2}} \left(e^{4 e^x}+e^4 x^2-3 e^2 x^3+4 x^4+e^{2 e^x} \left(-2 e^2 x+2 x^2+2 e^x x^3\right)+e^{\frac{x^2}{e^{2 e^x}-e^2 x+2 x^2}} \left(-9 e^{4 e^x} x^2-9 e^4 x^4+36 e^2 x^5-36 x^6+e^{2 e^x} \left(18 e^2 x^3-36 x^4\right)\right)\right)}{e^{4 e^x}+e^4 x^2-4 e^2 x^3+4 x^4+e^{2 e^x} \left(-2 e^2 x+4 x^2\right)} \, dx","Integrate[(E^(4*E^x) + E^4*x^2 - 3*E^2*x^3 + 4*x^4 + E^(2*E^x)*(-2*E^2*x + 2*x^2 + 2*E^x*x^3) + E^(x^2/(E^(2*E^x) - E^2*x + 2*x^2))*(-9*E^(4*E^x)*x^2 - 9*E^4*x^4 + 36*E^2*x^5 - 36*x^6 + E^(2*E^x)*(18*E^2*x^3 - 36*x^4)))/(E^(x^2/(E^(2*E^x) - E^2*x + 2*x^2))*(E^(4*E^x) + E^4*x^2 - 4*E^2*x^3 + 4*x^4 + E^(2*E^x)*(-2*E^2*x + 4*x^2))),x]","e^{-\frac{x^2}{2 x^2-e^2 x+e^{2 e^x}}} x-3 x^3","e^{-\frac{x}{2 x+\frac{e^{2 e^x}}{x}-e^2}} x-3 x^3",1,"x/E^(x^2/(E^(2*E^x) - E^2*x + 2*x^2)) - 3*x^3","A",1
635,1,22,26,0.4027939,"\int \frac{e^{-\frac{1+e^x (2-x)-2 x+x^2}{-2+x}} \left(-6+8 x-2 x^2+e^{\frac{1+e^x (2-x)-2 x+x^2}{-2+x}} \left(-4+4 x-x^2\right)+e^x \left(8-8 x+2 x^2\right)\right)}{4-4 x+x^2} \, dx","Integrate[(-6 + 8*x - 2*x^2 + E^((1 + E^x*(2 - x) - 2*x + x^2)/(-2 + x))*(-4 + 4*x - x^2) + E^x*(8 - 8*x + 2*x^2))/(E^((1 + E^x*(2 - x) - 2*x + x^2)/(-2 + x))*(4 - 4*x + x^2)),x]","2 e^{-x+e^x-\frac{1}{x-2}}-x","2 e^{-x+e^x-\frac{5}{5 (x-3)+5}}-x",1,"2*E^(E^x - (-2 + x)^(-1) - x) - x","A",1
636,1,24,30,0.9276976,"\int \frac{e^{\frac{3}{50 x-25 x^3+e^x \left(-10+5 x^2\right)}} \left(-90+135 x^2+e^x \left(18-18 x-9 x^2\right)\right)}{500 x^2-500 x^4+125 x^6+e^{2 x} \left(20-20 x^2+5 x^4\right)+e^x \left(-200 x+200 x^3-50 x^5\right)} \, dx","Integrate[(E^(3/(50*x - 25*x^3 + E^x*(-10 + 5*x^2)))*(-90 + 135*x^2 + E^x*(18 - 18*x - 9*x^2)))/(500*x^2 - 500*x^4 + 125*x^6 + E^(2*x)*(20 - 20*x^2 + 5*x^4) + E^x*(-200*x + 200*x^3 - 50*x^5)),x]","3 e^{\frac{3}{5 \left(e^x-5 x\right) \left(x^2-2\right)}}","3 e^{\frac{3}{5 \left(5 x-e^x\right) \left(2-x^2\right)}}-4",1,"3*E^(3/(5*(E^x - 5*x)*(-2 + x^2)))","A",1
637,1,22,22,0.1069393,"\int \frac{-25+140 x-176 x^2+64 x^3+e^{-\frac{x}{-5+4 x}} \left(-25+35 x-16 x^2\right)+\left(25-40 x+16 x^2\right) \log (5)}{25-40 x+16 x^2} \, dx","Integrate[(-25 + 140*x - 176*x^2 + 64*x^3 + (-25 + 35*x - 16*x^2)/E^(x/(-5 + 4*x)) + (25 - 40*x + 16*x^2)*Log[5])/(25 - 40*x + 16*x^2),x]","x \left(2 x-e^{\frac{x}{5-4 x}}-1+\log (5)\right)","x \left(2 x-e^{\frac{1}{\frac{5}{x}-4}}-1+\log (5)\right)",1,"x*(-1 - E^(x/(5 - 4*x)) + 2*x + Log[5])","A",1
638,1,37,22,0.0201343,"\int \frac{-12 x^2-8 x^3+e \left(12 x-4 x^3\right)}{e \left(1+2 x+x^2\right)} \, dx","Integrate[(-12*x^2 - 8*x^3 + E*(12*x - 4*x^3))/(E*(1 + 2*x + x^2)),x]","-\frac{4 \left(\frac{1}{2} (2+e) (x+1)^2-3 (1+e) (x+1)+\frac{-1-2 e}{x+1}\right)}{e}","2 x^2 \left(\frac{2 \left(-2-\frac{1}{e}\right) x}{x+1}+3\right)",1,"(-4*((-1 - 2*E)/(1 + x) - 3*(1 + E)*(1 + x) + ((2 + E)*(1 + x)^2)/2))/E","A",1
639,1,46,26,0.1860086,"\int \frac{-36+12 x-2 x^3-16 e^{2 \log ^2\left(\frac{16}{x^2}\right)} x^2 \log \left(\frac{16}{x^2}\right)+e^{\log ^2\left(\frac{16}{x^2}\right)} \left(12 x+\left(48 x-16 x^2\right) \log \left(\frac{16}{x^2}\right)\right)}{x^3} \, dx","Integrate[(-36 + 12*x - 2*x^3 - 16*E^(2*Log[16/x^2]^2)*x^2*Log[16/x^2] + E^Log[16/x^2]^2*(12*x + (48*x - 16*x^2)*Log[16/x^2]))/x^3,x]","-2 \left(-\frac{9}{x^2}-\frac{2 (x-3) e^{\log ^2\left(\frac{16}{x^2}\right)}}{x}-e^{2 \log ^2\left(\frac{16}{x^2}\right)}+x+\frac{6}{x}\right)","2 \left(\left(e^{\log ^2\left(\frac{16}{x^2}\right)}-\frac{3}{x}+1\right)^2-x-1\right)",1,"-2*(-E^(2*Log[16/x^2]^2) - 9/x^2 + 6/x - (2*E^Log[16/x^2]^2*(-3 + x))/x + x)","A",1
640,1,63,35,0.1948414,"\int \frac{-3 x-2 e x^3+2 x^4+e^{2 x^2} \left(-27-18 e x^2+18 x^3\right)+\left(-8 x^4+16 x^6+e^{2 x^2} \left(36 e x^2-36 x^3\right)+e \left(8 x^3-16 x^5\right)\right) \log \left(\frac{1}{9} e^{-2 x^2} \left(9 e^{2 x^2} x+x^2\right)\right)+\left(2 e x^3-4 x^4+e^{2 x^2} \left(18 e x^2-36 x^3\right)\right) \log ^2\left(\frac{1}{9} e^{-2 x^2} \left(9 e^{2 x^2} x+x^2\right)\right)+\left(36 e^{2 x^2} x^3+8 x^4-16 x^6\right) \log ^3\left(\frac{1}{9} e^{-2 x^2} \left(9 e^{2 x^2} x+x^2\right)\right)+\left(18 e^{2 x^2} x^3+2 x^4\right) \log ^4\left(\frac{1}{9} e^{-2 x^2} \left(9 e^{2 x^2} x+x^2\right)\right)}{9 e^{2 x^2} x^2+x^3} \, dx","Integrate[(-3*x - 2*E*x^3 + 2*x^4 + E^(2*x^2)*(-27 - 18*E*x^2 + 18*x^3) + (-8*x^4 + 16*x^6 + E^(2*x^2)*(36*E*x^2 - 36*x^3) + E*(8*x^3 - 16*x^5))*Log[(9*E^(2*x^2)*x + x^2)/(9*E^(2*x^2))] + (2*E*x^3 - 4*x^4 + E^(2*x^2)*(18*E*x^2 - 36*x^3))*Log[(9*E^(2*x^2)*x + x^2)/(9*E^(2*x^2))]^2 + (36*E^(2*x^2)*x^3 + 8*x^4 - 16*x^6)*Log[(9*E^(2*x^2)*x + x^2)/(9*E^(2*x^2))]^3 + (18*E^(2*x^2)*x^3 + 2*x^4)*Log[(9*E^(2*x^2)*x + x^2)/(9*E^(2*x^2))]^4)/(9*E^(2*x^2)*x^2 + x^3),x]","x^2+x^2 \log ^4\left(\frac{1}{9} e^{-2 x^2} x^2+x\right)+2 (e-x) x \log ^2\left(\frac{1}{9} e^{-2 x^2} x^2+x\right)-2 e x+\frac{3}{x}","\left(-x \log ^2\left(\frac{1}{9} e^{-2 x^2} x^2+x\right)+x-e\right)^2+\frac{3}{x}",1,"3/x - 2*E*x + x^2 + 2*(E - x)*x*Log[x + x^2/(9*E^(2*x^2))]^2 + x^2*Log[x + x^2/(9*E^(2*x^2))]^4","A",1
641,1,17,17,0.2320121,"\int \frac{(4-12 x) \log (4)+x^{x^2} \left(\left(2-8 x^2\right) \log (4)-16 x^2 \log (4) \log (x)\right)}{32+160 x+320 x^2+320 x^3+160 x^4+32 x^5+x^{5 x^2}+x^{4 x^2} (10+10 x)+x^{3 x^2} \left(40+80 x+40 x^2\right)+x^{2 x^2} \left(80+240 x+240 x^2+80 x^3\right)+x^{x^2} \left(80+320 x+480 x^2+320 x^3+80 x^4\right)} \, dx","Integrate[((4 - 12*x)*Log[4] + x^x^2*((2 - 8*x^2)*Log[4] - 16*x^2*Log[4]*Log[x]))/(32 + 160*x + 320*x^2 + 320*x^3 + 160*x^4 + 32*x^5 + x^(5*x^2) + x^(4*x^2)*(10 + 10*x) + x^(3*x^2)*(40 + 80*x + 40*x^2) + x^(2*x^2)*(80 + 240*x + 240*x^2 + 80*x^3) + x^x^2*(80 + 320*x + 480*x^2 + 320*x^3 + 80*x^4)),x]","\frac{2 x \log (4)}{\left(x^{x^2}+2 x+2\right)^4}","\frac{2 x \log (4)}{\left(x^{x^2}+2 x+2\right)^4}",1,"(2*x*Log[4])/(2 + 2*x + x^x^2)^4","A",1
642,1,23,21,0.0023406,"\int \frac{1}{2} \left(-45+4 x-\log ^2(3)-2 \log (x)\right) \, dx","Integrate[(-45 + 4*x - Log[3]^2 - 2*Log[x])/2,x]","x^2-\frac{43 x}{2}-\frac{1}{2} x \log ^2(3)-x \log (x)","x \left(x-\log (x)-20+\frac{1}{2} \left(-3-\log ^2(3)\right)\right)",1,"(-43*x)/2 + x^2 - (x*Log[3]^2)/2 - x*Log[x]","A",1
643,1,28,30,0.6428787,"\int \frac{4+4 x^2+x^4+e^x \left(-4-4 x+2 x^2-2 x^3\right)+e^{e^x} \left(e^{2 x} \left(4 x+2 x^3\right)+e^x \left(4+4 x-2 x^2+2 x^3\right)\right)}{4+4 x^2+x^4} \, dx","Integrate[(4 + 4*x^2 + x^4 + E^x*(-4 - 4*x + 2*x^2 - 2*x^3) + E^E^x*(E^(2*x)*(4*x + 2*x^3) + E^x*(4 + 4*x - 2*x^2 + 2*x^3)))/(4 + 4*x^2 + x^4),x]","\frac{x \left(x^2-2 e^x+2 e^{x+e^x}+2\right)}{x^2+2}","-\frac{2 e^x \left(1-e^{e^x}\right)}{x+\frac{2}{x}}+x-e^4",1,"(x*(2 - 2*E^x + 2*E^(E^x + x) + x^2))/(2 + x^2)","A",1
644,1,120,18,0.158723,"\int \left(9378906250 x^9+e^{6+2 x^2} \left(7503125000 x^7+3751562500 x^9\right)+e^{3+x^2} \left(-16882031250 x^8-3751562500 x^{10}\right)\right) \, dx","Integrate[9378906250*x^9 + E^(6 + 2*x^2)*(7503125000*x^7 + 3751562500*x^9) + E^(3 + x^2)*(-16882031250*x^8 - 3751562500*x^10),x]","\frac{937890625 \left(-945 e^3 \sqrt{\pi } x \text{erfi}(x)+e^6 x \Gamma \left(5,-2 x^2\right)+32 e^3 \sqrt{-x^2} \Gamma \left(\frac{11}{2},-x^2\right)+2 x \left(8 x^{10}-9 e^{x^2+3} \left(8 x^6-28 x^4+70 x^2-105\right) x+4 e^{2 x^2+6} \left(4 x^6-6 x^4+6 x^2-3\right)\right)\right)}{16 x}","937890625 x^8 \left(x-e^{x^2+3}\right)^2",1,"(937890625*(2*x*(8*x^10 + 4*E^(6 + 2*x^2)*(-3 + 6*x^2 - 6*x^4 + 4*x^6) - 9*E^(3 + x^2)*x*(-105 + 70*x^2 - 28*x^4 + 8*x^6)) - 945*E^3*Sqrt[Pi]*x*Erfi[x] + E^6*x*Gamma[5, -2*x^2] + 32*E^3*Sqrt[-x^2]*Gamma[11/2, -x^2]))/(16*x)","C",1
645,1,21,24,0.3265883,"\int \frac{(-24-12 x) \log ^2(5)+e^x \left(32+4 x-4 x^2\right) \log ^2(5)}{9 x^3+6 x^4+x^5+e^{2 x} \left(16 x^3-8 x^4+x^5\right)+e^x \left(-24 x^3-2 x^4+2 x^5\right)} \, dx","Integrate[((-24 - 12*x)*Log[5]^2 + E^x*(32 + 4*x - 4*x^2)*Log[5]^2)/(9*x^3 + 6*x^4 + x^5 + E^(2*x)*(16*x^3 - 8*x^4 + x^5) + E^x*(-24*x^3 - 2*x^4 + 2*x^5)),x]","\frac{4 \log ^2(5)}{x^2 \left(e^x (x-4)+x+3\right)}","\frac{4 \log ^2(5)}{x^2 \left(-e^x (4-x)+x+3\right)}",1,"(4*Log[5]^2)/(x^2*(3 + E^x*(-4 + x) + x))","A",1
646,1,20,20,0.29428,"\int \frac{1}{3} e^{22-2 e^{e^{\frac{1}{3} (-6-2 x)}}+x^2} \left(4 e^{e^{\frac{1}{3} (-6-2 x)}+\frac{1}{3} (-6-2 x)}+6 x\right) \, dx","Integrate[(E^(22 - 2*E^E^((-6 - 2*x)/3) + x^2)*(4*E^(E^((-6 - 2*x)/3) + (-6 - 2*x)/3) + 6*x))/3,x]","e^{x^2-2 e^{e^{-\frac{2 x}{3}-2}}+22}","e^{x^2-2 e^{e^{-\frac{2}{3} (x+3)}}+22}",1,"E^(22 - 2*E^E^(-2 - (2*x)/3) + x^2)","A",1
647,1,11,12,0.0018922,"\int \frac{-30-3 x^3+e \left(10+x^3\right)}{x^3} \, dx","Integrate[(-30 - 3*x^3 + E*(10 + x^3))/x^3,x]","(e-3) \left(x-\frac{5}{x^2}\right)","(e-3) \left(-\frac{5}{x^2}+x-5\right)",1,"(-3 + E)*(-5/x^2 + x)","A",1
648,1,43,27,0.0563038,"\int \left(-12+e^x \left(-14+e^5 (-2-2 x)\right)-2 x-4 e^5 x+4 e^{x^4} x^3+\left(e^x (-2-2 x)-4 x\right) \log (x)\right) \, dx","Integrate[-12 + E^x*(-14 + E^5*(-2 - 2*x)) - 2*x - 4*E^5*x + 4*E^x^4*x^3 + (E^x*(-2 - 2*x) - 4*x)*Log[x],x]","-2 \left(-\frac{e^{x^4}}{2}+e^5 x^2+e^{x+5} x+6 x+6 e^x+\left(x+e^x\right) x \log (x)\right)","e^{x^4}-4 \left(x+e^x\right) \left(\frac{1}{2} x \left(\log (x)+e^5\right)+3\right)+4",1,"-2*(6*E^x - E^x^4/2 + 6*x + E^(5 + x)*x + E^5*x^2 + x*(E^x + x)*Log[x])","A",1
649,1,52,36,0.2235459,"\int \frac{16+6 e^{6-x-x^2} x-e^{12-2 x-2 x^2} x^2+\left(10+4 x+e^{6-x-x^2} \left(7 x^2+10 x^3\right)\right) \log \left(x^2\right)-x^2 \log ^2\left(x^2\right)}{4+4 e^{6-x-x^2} x+e^{12-2 x-2 x^2} x^2+\left(-4 x-2 e^{6-x-x^2} x^2\right) \log \left(x^2\right)+x^2 \log ^2\left(x^2\right)} \, dx","Integrate[(16 + 6*E^(6 - x - x^2)*x - E^(12 - 2*x - 2*x^2)*x^2 + (10 + 4*x + E^(6 - x - x^2)*(7*x^2 + 10*x^3))*Log[x^2] - x^2*Log[x^2]^2)/(4 + 4*E^(6 - x - x^2)*x + E^(12 - 2*x - 2*x^2)*x^2 + (-4*x - 2*E^(6 - x - x^2)*x^2)*Log[x^2] + x^2*Log[x^2]^2),x]","-\frac{5 \left(2 e^{x^2+x}+e^6 x\right)}{-2 e^{x^2+x}+e^{x^2+x} x \log \left(x^2\right)-e^6 x}-x","\frac{5 x}{\frac{e^{-x^2-x+6} x+2}{\log \left(x^2\right)}-x}-x",1,"-x - (5*(2*E^(x + x^2) + E^6*x))/(-2*E^(x + x^2) - E^6*x + E^(x + x^2)*x*Log[x^2])","A",1
650,1,6,21,0.0000917,"\int 2 e^6 \, dx","Integrate[2*E^6,x]","2 e^6 x","e^6 \left(2 x-2 \log \left(\log \left(2+e^2\right)\right)\right)-\frac{7}{3}",1,"2*E^6*x","A",1
651,1,23,23,0.2322936,"\int \frac{e^{-x} \left(e^x (5+x)+\left(6+2 e^x\right) \log (x)-3 x \log ^2(x)\right)}{x} \, dx","Integrate[(E^x*(5 + x) + (6 + 2*E^x)*Log[x] - 3*x*Log[x]^2)/(E^x*x),x]","x+\left(3 e^{-x}+1\right) \log ^2(x)+5 \log (x)+\frac{25}{4}","x+\left(3 e^{-x}+1\right) \log ^2(x)+5 \log (3 x)-5",1,"25/4 + x + 5*Log[x] + (1 + 3/E^x)*Log[x]^2","A",1
652,1,20,23,0.4864463,"\int \frac{-x-98 x^2+e^x \left(-28 x^2-14 x^3\right)+e^{2 x} \left(-2 x^2-2 x^3\right)+\left(3+x+49 x^2+14 e^x x^2+e^{2 x} x^2\right) \log \left(3+x+49 x^2+14 e^x x^2+e^{2 x} x^2\right)}{3 x^2+x^3+49 x^4+14 e^x x^4+e^{2 x} x^4} \, dx","Integrate[(-x - 98*x^2 + E^x*(-28*x^2 - 14*x^3) + E^(2*x)*(-2*x^2 - 2*x^3) + (3 + x + 49*x^2 + 14*E^x*x^2 + E^(2*x)*x^2)*Log[3 + x + 49*x^2 + 14*E^x*x^2 + E^(2*x)*x^2])/(3*x^2 + x^3 + 49*x^4 + 14*E^x*x^4 + E^(2*x)*x^4),x]","-\frac{\log \left(\left(e^x+7\right)^2 x^2+x+3\right)}{x}","\frac{x-\log \left(\left(e^x+7\right)^2 x^2+x+3\right)}{x}",1,"-(Log[3 + x + (7 + E^x)^2*x^2]/x)","A",1
653,1,23,23,0.0698971,"\int 2 \exp \left(e^{\frac{1}{81} \left(812+162 x-36 \log (4)+162 \log ^2(4)\right)}+\frac{1}{81} \left(812+162 x-36 \log (4)+162 \log ^2(4)\right)\right) \, dx","Integrate[2*E^(E^((812 + 162*x - 36*Log[4] + 162*Log[4]^2)/81) + (812 + 162*x - 36*Log[4] + 162*Log[4]^2)/81),x]","e^{\frac{e^{2 x+\frac{812}{81}+2 \log ^2(4)}}{2^{8/9}}}","e^{e^{-2 \left(-x-5-\left(\frac{1}{9}-\log (4)\right)^2\right)}}",1,"E^(E^(812/81 + 2*x + 2*Log[4]^2)/2^(8/9))","A",1
654,1,21,23,0.3903556,"\int \frac{-2+e^{-4+x+x^2} \left(-2 x-4 x^2\right)}{-5 e^{-4+x+x^2} x-5 x \log (x)+\left(2 e^{-4+x+x^2} x+2 x \log (x)\right) \log \left(4 e^{-4+x+x^2}+4 \log (x)\right)} \, dx","Integrate[(-2 + E^(-4 + x + x^2)*(-2*x - 4*x^2))/(-5*E^(-4 + x + x^2)*x - 5*x*Log[x] + (2*E^(-4 + x + x^2)*x + 2*x*Log[x])*Log[4*E^(-4 + x + x^2) + 4*Log[x]]),x]","-\log \left(2 \log \left(4 \left(e^{x^2+x-4}+\log (x)\right)\right)-5\right)","5-\log \left(\log \left(4 \left(e^{x^2+x-4}+\log (x)\right)\right)-\frac{5}{2}\right)",1,"-Log[-5 + 2*Log[4*(E^(-4 + x + x^2) + Log[x])]]","A",1
655,1,14,16,0.009032,"\int \frac{9}{4} e^{-2+e^4 x} \left(-\frac{16}{e^4}-4 x\right) x^3 \, dx","Integrate[(9*E^(-2 + E^4*x)*(-16/E^4 - 4*x)*x^3)/4,x]","-9 e^{e^4 x-6} x^4","2-9 e^{e^4 x-6} x^4",1,"-9*E^(-6 + E^4*x)*x^4","A",1
656,1,47,25,0.2025311,"\int \frac{-312+72 x+\left(108 x-24 x^2\right) \log (5)+\left(-9 x^2+2 x^3\right) \log ^2(5)+e^x \left(6+6 x-x^2 \log (5)\right)}{36-12 x \log (5)+x^2 \log ^2(5)} \, dx","Integrate[(-312 + 72*x + (108*x - 24*x^2)*Log[5] + (-9*x^2 + 2*x^3)*Log[5]^2 + E^x*(6 + 6*x - x^2*Log[5]))/(36 - 12*x*Log[5] + x^2*Log[5]^2),x]","\frac{x^3 \log ^2(5)-3 x^2 \log (5) (2+\log (125))+18 x \log (125)-e^x x \log (5)-12}{\log (5) (x \log (5)-6)}","(x-10) x+x+\frac{e^x+2}{\frac{6}{x}-\log (5)}",1,"(-12 - E^x*x*Log[5] + x^3*Log[5]^2 + 18*x*Log[125] - 3*x^2*Log[5]*(2 + Log[125]))/(Log[5]*(-6 + x*Log[5]))","A",1
657,1,9,18,0.0013351,"\int \left(-10-2 e^x\right) \, dx","Integrate[-10 - 2*E^x,x]","-2 \left(5 x+e^x\right)","\frac{2 x-2 x \left(5 x+e^x\right)}{x}",1,"-2*(E^x + 5*x)","A",1
658,1,18,20,0.2797225,"\int \frac{e^{\frac{-2-4 x-x^2+4 x^3+x^4}{-1+x^2}} \left(4+6 x-8 x^2-4 x^3+4 x^4+2 x^5\right)}{1-2 x^2+x^4} \, dx","Integrate[(E^((-2 - 4*x - x^2 + 4*x^3 + x^4)/(-1 + x^2))*(4 + 6*x - 8*x^2 - 4*x^3 + 4*x^4 + 2*x^5))/(1 - 2*x^2 + x^4),x]","e^{x^2-\frac{2}{x^2-1}+4 x}","e^{\frac{2}{1-x^2}+(x+2)^2-4}",1,"E^(4*x + x^2 - 2/(-1 + x^2))","A",1
659,1,140,32,2.1492192,"\int \frac{\exp \left(-1-\log ^2(4)-(-2-2 \log (4)) \log \left(x^2\right)-\log ^2\left(x^2\right)\right) \left(15-21 x+3 x^2+\left(12-20 x+4 x^2\right) \log (4)+(4 x+4 x \log (4)) \log (x)+\left(-12+20 x-4 x^2-4 x \log (x)\right) \log \left(x^2\right)\right)}{16 \left(18-60 x+62 x^2-20 x^3+2 x^4+\left(12 x-20 x^2+4 x^3\right) \log (x)+2 x^2 \log ^2(x)\right)} \, dx","Integrate[(E^(-1 - Log[4]^2 - (-2 - 2*Log[4])*Log[x^2] - Log[x^2]^2)*(15 - 21*x + 3*x^2 + (12 - 20*x + 4*x^2)*Log[4] + (4*x + 4*x*Log[4])*Log[x] + (-12 + 20*x - 4*x^2 - 4*x*Log[x])*Log[x^2]))/(16*(18 - 60*x + 62*x^2 - 20*x^3 + 2*x^4 + (12*x - 20*x^2 + 4*x^3)*Log[x] + 2*x^2*Log[x]^2)),x]","\frac{1}{16} \int \frac{\left(3 x^2+\left(-4 x^2+20 x-4 x \log (x)-12\right) \log \left(x^2\right)+\left(4 x^2-20 x+12\right) \log (4)-21 x+(4 x+4 x \log (4)) \log (x)+15\right) \exp \left(-\log ^2\left(x^2\right)-(-2-2 \log (4)) \log \left(x^2\right)-1-\log ^2(4)\right)}{2 x^4-20 x^3+62 x^2+2 x^2 \log ^2(x)+\left(4 x^3-20 x^2+12 x\right) \log (x)-60 x+18} \, dx","\frac{e^{-\left(-\log \left(x^2\right)+1+\log (4)\right)^2}}{2 \left(x+\frac{3}{x}+\log (x)-5\right)}",1,"Integrate[(E^(-1 - Log[4]^2 - (-2 - 2*Log[4])*Log[x^2] - Log[x^2]^2)*(15 - 21*x + 3*x^2 + (12 - 20*x + 4*x^2)*Log[4] + (4*x + 4*x*Log[4])*Log[x] + (-12 + 20*x - 4*x^2 - 4*x*Log[x])*Log[x^2]))/(18 - 60*x + 62*x^2 - 20*x^3 + 2*x^4 + (12*x - 20*x^2 + 4*x^3)*Log[x] + 2*x^2*Log[x]^2), x]/16","F",1
660,1,19,21,0.0038882,"\int \frac{1}{3} \left(11+3 e^{16+x}-6 x+9 x^2\right) \, dx","Integrate[(11 + 3*E^(16 + x) - 6*x + 9*x^2)/3,x]","x^3-x^2+\frac{11 x}{3}+e^{x+16}","\left(x^2-x+4\right) x-\frac{x}{3}+e^{x+16}",1,"E^(16 + x) + (11*x)/3 - x^2 + x^3","A",1
661,1,26,26,0.1242726,"\int \frac{9+e^x (96-144 x)}{512 e^{2 x}+e^x (16-144 x)-3 x+9 x^2} \, dx","Integrate[(9 + E^x*(96 - 144*x))/(512*E^(2*x) + E^x*(16 - 144*x) - 3*x + 9*x^2),x]","3 \log \left(-3 x+32 e^x+1\right)-3 \log \left(16 e^x-3 x\right)","3 \log \left(2-\frac{\frac{1}{x}+3}{3-\frac{16 e^x}{x}}\right)+3",1,"-3*Log[16*E^x - 3*x] + 3*Log[1 + 32*E^x - 3*x]","A",1
662,1,20,20,0.1145334,"\int \frac{e^{1+2 x} (1-2 x)+2 e^{2 x} \log (x)+e^{2 x} (-1+2 x) \log ^2(x)}{8 x^2} \, dx","Integrate[(E^(1 + 2*x)*(1 - 2*x) + 2*E^(2*x)*Log[x] + E^(2*x)*(-1 + 2*x)*Log[x]^2)/(8*x^2),x]","-\frac{e^{2 x} \left(e-\log ^2(x)\right)}{8 x}","\frac{e^{2 x} \left(\log ^2(x)-e\right)}{8 x}",1,"-1/8*(E^(2*x)*(E - Log[x]^2))/x","A",1
663,1,29,22,0.0133316,"\int \frac{110+5 e^{20}+210 x-81 x^2+8 x^3}{100-40 x+4 x^2} \, dx","Integrate[(110 + 5*E^20 + 210*x - 81*x^2 + 8*x^3)/(100 - 40*x + 4*x^2),x]","\frac{1}{4} \left(4 (x-5)^2+39 (x-5)-\frac{5 \left(27+e^{20}\right)}{x-5}\right)","x^2+\frac{\left(x+e^{20}+22\right) x}{4 (5-x)}",1,"((-5*(27 + E^20))/(-5 + x) + 39*(-5 + x) + 4*(-5 + x)^2)/4","A",1
664,1,38,26,0.1104584,"\int \frac{-2 x+4 x^2+e^5 \left(-4+12 x-8 x^2\right)+e^{10} \left(4-10 x+4 x^2\right)+\left(-2 x^2+e^{10} \left(-8+8 x-2 x^2\right)+e^5 \left(-8 x+4 x^2\right)+2 e^{10} \log (2)\right) \log \left(\frac{x^2+e^5 \left(4 x-2 x^2\right)+e^{10} \left(4-4 x+x^2\right)-e^{10} \log (2)}{e^{10}}\right)}{\left(-x^2+e^{10} \left(-4+4 x-x^2\right)+e^5 \left(-4 x+2 x^2\right)+e^{10} \log (2)\right) \log ^2\left(\frac{x^2+e^5 \left(4 x-2 x^2\right)+e^{10} \left(4-4 x+x^2\right)-e^{10} \log (2)}{e^{10}}\right)} \, dx","Integrate[(-2*x + 4*x^2 + E^5*(-4 + 12*x - 8*x^2) + E^10*(4 - 10*x + 4*x^2) + (-2*x^2 + E^10*(-8 + 8*x - 2*x^2) + E^5*(-8*x + 4*x^2) + 2*E^10*Log[2])*Log[(x^2 + E^5*(4*x - 2*x^2) + E^10*(4 - 4*x + x^2) - E^10*Log[2])/E^10])/((-x^2 + E^10*(-4 + 4*x - x^2) + E^5*(-4*x + 2*x^2) + E^10*Log[2])*Log[(x^2 + E^5*(4*x - 2*x^2) + E^10*(4 - 4*x + x^2) - E^10*Log[2])/E^10]^2),x]","\frac{2 x-1}{\log \left(\frac{\left(e^5-1\right)^2 x^2}{e^{10}}+\left(\frac{4}{e^5}-4\right) x+4-\log (2)\right)}","\frac{2 x-1}{\log \left(\left(\frac{x}{e^5}-x+2\right)^2-\log (2)\right)}",1,"(-1 + 2*x)/Log[4 + (-4 + 4/E^5)*x + ((-1 + E^5)^2*x^2)/E^10 - Log[2]]","A",1
665,1,24,25,0.1055865,"\int \frac{e^x+\left(-4 x-2 e x+2 x^2+e^{2 x} \left(2 x+e x-x^2\right)+e^x \left(-3 x-e x+x^2\right)\right) \log (x)+\left(-2 x-e^x x+e^{2 x} x\right) \log (x) \log (\log (x))}{e^x \left(2 x+e x-x^2\right) \log (x)+e^x x \log (x) \log (\log (x))} \, dx","Integrate[(E^x + (-4*x - 2*E*x + 2*x^2 + E^(2*x)*(2*x + E*x - x^2) + E^x*(-3*x - E*x + x^2))*Log[x] + (-2*x - E^x*x + E^(2*x)*x)*Log[x]*Log[Log[x]])/(E^x*(2*x + E*x - x^2)*Log[x] + E^x*x*Log[x]*Log[Log[x]]),x]","-x+2 e^{-x}+e^x+\log (-x+\log (\log (x))+e+2)","-x+2 e^{-x}+e^x+\log (-x+\log (\log (x))+e+2)+1",1,"2/E^x + E^x - x + Log[2 + E - x + Log[Log[x]]]","A",1
666,1,9,11,0.0025498,"\int -\frac{2}{3} e^{2 x/3} \, dx","Integrate[(-2*E^((2*x)/3))/3,x]","-e^{2 x/3}","5-e^{2 x/3}",1,"-E^((2*x)/3)","A",1
667,1,25,23,0.0648234,"\int \frac{e^{\frac{2 x}{-8+4 x}} \left(-4+5 x-x^2\right)+\left(60-60 x+15 x^2\right) \log (4)}{20-20 x+5 x^2} \, dx","Integrate[(E^((2*x)/(-8 + 4*x))*(-4 + 5*x - x^2) + (60 - 60*x + 15*x^2)*Log[4])/(20 - 20*x + 5*x^2),x]","x \log (64)-\frac{1}{5} e^{\frac{1}{2} \left(\frac{2}{x-2}+1\right)} x","3 x \log (4)-\frac{1}{5} e^{\frac{x}{2 (x-2)}} x",1,"-1/5*(E^((1 + 2/(-2 + x))/2)*x) + x*Log[64]","A",1
668,1,13,25,0.0279337,"\int \frac{2-2 x \log \left(x^2\right)+e^{\log (5) \log (x)} \log (5) \log \left(x^2\right)}{x \log \left(x^2\right)} \, dx","Integrate[(2 - 2*x*Log[x^2] + E^(Log[5]*Log[x])*Log[5]*Log[x^2])/(x*Log[x^2]),x]","\log \left(\log \left(x^2\right)\right)-2 x+5^{\log (x)}","\log \left(4 e^{-x+e^{\log (5) \log (x)}+20} \log \left(x^2\right)\right)-x",1,"5^Log[x] - 2*x + Log[Log[x^2]]","A",1
669,1,25,13,0.0033886,"\int \frac{2 \log \left(\frac{1}{3} \left(3 x-e^5 x\right)\right)}{x} \, dx","Integrate[(2*Log[(3*x - E^5*x)/3])/x,x]","2 \left(\log (x) \log \left(x-\frac{e^5 x}{3}\right)-\frac{\log ^2(x)}{2}\right)","\log ^2\left(x-\frac{e^5 x}{3}\right)",1,"2*(-1/2*Log[x]^2 + Log[x]*Log[x - (E^5*x)/3])","A",1
670,1,25,25,0.4356326,"\int \frac{\exp \left(\frac{\frac{3 x}{e}+(100+25 x) \log (x)+(-4-x) \log ^3(x)}{(4+x) \log (x)}\right) \left(\frac{3 \left(-4 x-x^2\right)}{e}+\frac{12 x \log (x)}{e}+\left(-32-16 x-2 x^2\right) \log ^3(x)\right)}{\left(16 x+8 x^2+x^3\right) \log ^2(x)} \, dx","Integrate[(E^(((3*x)/E + (100 + 25*x)*Log[x] + (-4 - x)*Log[x]^3)/((4 + x)*Log[x]))*((3*(-4*x - x^2))/E + (12*x*Log[x])/E + (-32 - 16*x - 2*x^2)*Log[x]^3))/((16*x + 8*x^2 + x^3)*Log[x]^2),x]","e^{-\log ^2(x)+\frac{3 x}{e (x+4) \log (x)}+25}","e^{-\log ^2(x)+\frac{3 x}{e (x+4) \log (x)}+25}",1,"E^(25 + (3*x)/(E*(4 + x)*Log[x]) - Log[x]^2)","A",1
671,0,0,26,5.9875967,"\int \frac{e^{\frac{-i \pi -x-\log (2)}{4 x^3+8 x^4+4 x^5}} \left(2 x+4 x^2+(3+5 x) (i \pi +\log (2))\right)}{4 x^4+12 x^5+12 x^6+4 x^7} \, dx","Integrate[(E^(((-I)*Pi - x - Log[2])/(4*x^3 + 8*x^4 + 4*x^5))*(2*x + 4*x^2 + (3 + 5*x)*(I*Pi + Log[2])))/(4*x^4 + 12*x^5 + 12*x^6 + 4*x^7),x]","\int \frac{e^{\frac{-i \pi -x-\log (2)}{4 x^3+8 x^4+4 x^5}} \left(2 x+4 x^2+(3+5 x) (i \pi +\log (2))\right)}{4 x^4+12 x^5+12 x^6+4 x^7} \, dx","e^{\frac{-x+i \pi -\log (2)}{(-2 x-2)^2 x^3}}",1,"Integrate[(E^(((-I)*Pi - x - Log[2])/(4*x^3 + 8*x^4 + 4*x^5))*(2*x + 4*x^2 + (3 + 5*x)*(I*Pi + Log[2])))/(4*x^4 + 12*x^5 + 12*x^6 + 4*x^7), x]","F",-1
672,1,25,27,0.0038567,"\int \frac{-x^2-8 x^3+3 \log (x)}{3 x^2} \, dx","Integrate[(-x^2 - 8*x^3 + 3*Log[x])/(3*x^2),x]","-\frac{4 x^2}{3}-\frac{x}{3}-\frac{1}{x}-\frac{\log (x)}{x}","5-\frac{\frac{1}{3} \left(\frac{x+2}{x^2}+4\right) x^3+\log (x)+1}{x}",1,"-x^(-1) - x/3 - (4*x^2)/3 - Log[x]/x","A",1
673,1,15,16,0.0017777,"\int \frac{1+x-x^2}{4 x^2} \, dx","Integrate[(1 + x - x^2)/(4*x^2),x]","\frac{1}{4} \left(-x-\frac{1}{x}+\log (x)\right)","\frac{1}{4} \left(-x-\frac{1}{x}+\log (x)-5\right)",1,"(-x^(-1) - x + Log[x])/4","A",1
674,1,22,23,0.020377,"\int \frac{5 e^{5/x}+x^2+96 e^{10+2 x^3} x^4}{x^2} \, dx","Integrate[(5*E^(5/x) + x^2 + 96*E^(10 + 2*x^3)*x^4)/x^2,x]","16 e^{2 x^3+10}+x-e^{5/x}","16 e^{2 x^3+10}+x-e^{5/x}+4",1,"-E^(5/x) + 16*E^(10 + 2*x^3) + x","A",1
675,1,33,32,0.2072005,"\int \frac{\left(4-4 x^2\right) \log (5)+\left(-1+x^2\right) \log ^2(5) \log (-1+x)+\left(\left(-4+4 x^2+e^7 \left(-4-4 x+8 x^2\right)\right) \log (5)+e^7 \left(-x-x^2\right) \log ^2(5)+\left(1-x^2+e^7 \left(1+x-2 x^2\right)\right) \log ^2(5) \log (-1+x)\right) \log (x)+\left(\left(-4-4 x+8 x^2\right) \log (5)+\left(-x-x^2\right) \log ^2(5)+\left(1+x-2 x^2\right) \log ^2(5) \log (-1+x)\right) \log (x) \log \left(\frac{\log (x)}{x}\right)}{\left(-16 x^2-16 x^3+16 x^4+16 x^5+\left(8 x^2+8 x^3-8 x^4-8 x^5\right) \log (5) \log (-1+x)+\left(-x^2-x^3+x^4+x^5\right) \log ^2(5) \log ^2(-1+x)\right) \log (x)} \, dx","Integrate[((4 - 4*x^2)*Log[5] + (-1 + x^2)*Log[5]^2*Log[-1 + x] + ((-4 + 4*x^2 + E^7*(-4 - 4*x + 8*x^2))*Log[5] + E^7*(-x - x^2)*Log[5]^2 + (1 - x^2 + E^7*(1 + x - 2*x^2))*Log[5]^2*Log[-1 + x])*Log[x] + ((-4 - 4*x + 8*x^2)*Log[5] + (-x - x^2)*Log[5]^2 + (1 + x - 2*x^2)*Log[5]^2*Log[-1 + x])*Log[x]*Log[Log[x]/x])/((-16*x^2 - 16*x^3 + 16*x^4 + 16*x^5 + (8*x^2 + 8*x^3 - 8*x^4 - 8*x^5)*Log[5]*Log[-1 + x] + (-x^2 - x^3 + x^4 + x^5)*Log[5]^2*Log[-1 + x]^2)*Log[x]),x]","\frac{\log (5) \left(\log \left(\frac{\log (x)}{x}\right)+e^7\right)}{x (x+1) (\log (5) \log (x-1)-4)}","\frac{\log \left(\frac{\log (x)}{x}\right)+e^7}{\left(x^2+x\right) \left(\log (x-1)-\frac{4}{\log (5)}\right)}",1,"(Log[5]*(E^7 + Log[Log[x]/x]))/(x*(1 + x)*(-4 + Log[5]*Log[-1 + x]))","A",1
676,1,36,26,0.1504468,"\int \frac{-e^{3 x}+e^{2 x} (-1-2 \log (4))-3 x \log (4)-\log ^2(4)+e^x \left(-3 x-2 \log (4)-\log ^2(4)\right)+\left(-e^{3 x} x-3 x \log (4)-2 e^{2 x} x \log (4)+e^x \left(-3 x+3 x^2-x \log ^2(4)\right)\right) \log (x)}{3 \left(e^{4 x} x+9 x^3+6 x^2 \log (4)+x \log ^2(4)+e^{3 x} (2 x+2 x \log (4))+e^{2 x} \left(x+6 x^2+4 x \log (4)+x \log ^2(4)\right)+e^x \left(6 x^2+\left(2 x+6 x^2\right) \log (4)+2 x \log ^2(4)\right)\right) \log ^2(x)} \, dx","Integrate[(-E^(3*x) + E^(2*x)*(-1 - 2*Log[4]) - 3*x*Log[4] - Log[4]^2 + E^x*(-3*x - 2*Log[4] - Log[4]^2) + (-(E^(3*x)*x) - 3*x*Log[4] - 2*E^(2*x)*x*Log[4] + E^x*(-3*x + 3*x^2 - x*Log[4]^2))*Log[x])/(3*(E^(4*x)*x + 9*x^3 + 6*x^2*Log[4] + x*Log[4]^2 + E^(3*x)*(2*x + 2*x*Log[4]) + E^(2*x)*(x + 6*x^2 + 4*x*Log[4] + x*Log[4]^2) + E^x*(6*x^2 + (2*x + 6*x^2)*Log[4] + 2*x*Log[4]^2))*Log[x]^2),x]","\frac{e^x+\log (4)}{3 \left(3 x+e^x+e^{2 x}+e^x \log (4)+\log (4)\right) \log (x)}","\frac{1}{3 \left(e^x+\frac{3 x}{e^x+\log (4)}+1\right) \log (x)}",1,"(E^x + Log[4])/(3*(E^x + E^(2*x) + 3*x + Log[4] + E^x*Log[4])*Log[x])","A",1
677,1,162,26,0.1265882,"\int \frac{300 x^2-440 x^3-20 x^4+160 x^5+e^3 \left(-25 x-85 x^2+35 x^3+40 x^4\right)+\left(100-120 x-60 x^2+80 x^3+e^3 \left(-25+5 x+20 x^2\right)\right) \log \left(\frac{4-e^3-4 x}{-1+x}\right)}{4+e^3 (-1+x)-8 x+4 x^2} \, dx","Integrate[(300*x^2 - 440*x^3 - 20*x^4 + 160*x^5 + E^3*(-25*x - 85*x^2 + 35*x^3 + 40*x^4) + (100 - 120*x - 60*x^2 + 80*x^3 + E^3*(-25 + 5*x + 20*x^2))*Log[(4 - E^3 - 4*x)/(-1 + x)])/(4 + E^3*(-1 + x) - 8*x + 4*x^2),x]","5 \left(2 x^4+5 x^3+2 x^2 \log \left(-\frac{-4 x-e^3+4}{1-x}\right)+5 x \log \left(-\frac{-4 x-e^3+4}{1-x}\right)-\frac{5}{4} e^3 \log \left(-4 x-e^3+4\right)+5 \log \left(-4 x-e^3+4\right)+\frac{5}{4} e^3 \log \left(-\frac{-4 x-e^3+4}{1-x}\right)-5 \log \left(-\frac{-4 x-e^3+4}{1-x}\right)+\frac{5}{4} e^3 \log (1-x)-5 \log (1-x)\right)","5 x (2 x+5) \left(x^2+\log \left(\frac{e^3}{1-x}-4\right)\right)",1,"5*(5*x^3 + 2*x^4 + 5*Log[4 - E^3 - 4*x] - (5*E^3*Log[4 - E^3 - 4*x])/4 - 5*Log[-((4 - E^3 - 4*x)/(1 - x))] + (5*E^3*Log[-((4 - E^3 - 4*x)/(1 - x))])/4 + 5*x*Log[-((4 - E^3 - 4*x)/(1 - x))] + 2*x^2*Log[-((4 - E^3 - 4*x)/(1 - x))] - 5*Log[1 - x] + (5*E^3*Log[1 - x])/4)","B",1
678,1,19,19,0.0807471,"\int \frac{\left(-2+5 x+3 x^2\right) \log \left(\frac{19}{2+x}\right)+\log (x) \left(x-3 x^2+\left(6 x+3 x^2\right) \log \left(\frac{19}{2+x}\right)\right)}{8 x+4 x^2} \, dx","Integrate[((-2 + 5*x + 3*x^2)*Log[19/(2 + x)] + Log[x]*(x - 3*x^2 + (6*x + 3*x^2)*Log[19/(2 + x)]))/(8*x + 4*x^2),x]","\frac{1}{4} (3 x-1) \log (x) \log \left(\frac{19}{x+2}\right)","\frac{1}{4} (3 x-1) \log (x) \log \left(\frac{19}{x+2}\right)",1,"((-1 + 3*x)*Log[x]*Log[19/(2 + x)])/4","A",1
679,1,30,31,0.7381614,"\int \frac{e^{-x} \left(e^{-2+2 x} (5-5 x)+5 x^2+e^{-2+x} (-1+2 x)\right)}{e^{-4+2 x}+10 e^{-2+x} x+25 x^2} \, dx","Integrate[(E^(-2 + 2*x)*(5 - 5*x) + 5*x^2 + E^(-2 + x)*(-1 + 2*x))/(E^x*(E^(-4 + 2*x) + 10*E^(-2 + x)*x + 25*x^2)),x]","-\frac{e^2 \left(e^{-x} x+e^{x-2}\right)}{5 e^2 x+e^x}","4-\frac{\frac{e^{-x} x}{5}-x}{x+\frac{e^{x-2}}{5}}",1,"-((E^2*(E^(-2 + x) + x/E^x))/(E^x + 5*E^2*x))","A",1
680,1,21,21,0.0454675,"\int \left(18+e^{e^x} \left(12 e^{5+3 x} x^5+e^{5+2 x} \left(60 x^4+24 x^5\right)\right)+e^{2 e^x} \left(4 e^{10+5 x} x^9+e^{10+4 x} \left(18 x^8+8 x^9\right)\right)\right) \, dx","Integrate[18 + E^E^x*(12*E^(5 + 3*x)*x^5 + E^(5 + 2*x)*(60*x^4 + 24*x^5)) + E^(2*E^x)*(4*E^(10 + 5*x)*x^9 + E^(10 + 4*x)*(18*x^8 + 8*x^9)),x]","2 x \left(e^{2 x+e^x+5} x^4+3\right)^2","2 x \left(e^{2 x+e^x+5} x^4+3\right)^2",1,"2*x*(3 + E^(5 + E^x + 2*x)*x^4)^2","A",1
681,1,16,15,0.0203645,"\int \frac{-45-15 e x+10 e \log (3+e x)}{3+e x} \, dx","Integrate[(-45 - 15*E*x + 10*E*Log[3 + E*x])/(3 + E*x),x]","-5 \left(3 x-\log ^2(e x+3)\right)","5 \left(-3 x+\log ^2(e x+3)-20\right)",1,"-5*(3*x - Log[3 + E*x]^2)","A",1
682,1,26,23,0.1112965,"\int \left(e^3 \left(5+e^2\right)+e^{32+2 x} \left(-5+e^2 (-1-2 x)-8 x\right)+9 x+2 e^2 x+\left(e^3+e^{32+2 x} (-1-2 x)+2 x\right) \log (x)\right) \, dx","Integrate[E^3*(5 + E^2) + E^(32 + 2*x)*(-5 + E^2*(-1 - 2*x) - 8*x) + 9*x + 2*E^2*x + (E^3 + E^(32 + 2*x)*(-1 - 2*x) + 2*x)*Log[x],x]","-\left(\left(-x+e^{2 x+32}-e^3\right) x \left(\log (x)+e^2+4\right)\right)","x \left(x-e^{2 (x+16)}+e^3\right) \left(\log (x)+e^2+4\right)",1,"-((-E^3 + E^(32 + 2*x) - x)*x*(4 + E^2 + Log[x]))","A",1
683,1,43,30,0.3096044,"\int \frac{-189-24 e^{-8+2 x}-114 x+e^{-4+x} \left(135+47 x+35 x^2-4 x^3\right)}{27+324 x+1296 x^2+1728 x^3+e^{-4+x} \left(-18-216 x-864 x^2-1152 x^3\right)+e^{-8+2 x} \left(3+36 x+144 x^2+192 x^3\right)} \, dx","Integrate[(-189 - 24*E^(-8 + 2*x) - 114*x + E^(-4 + x)*(135 + 47*x + 35*x^2 - 4*x^3))/(27 + 324*x + 1296*x^2 + 1728*x^3 + E^(-4 + x)*(-18 - 216*x - 864*x^2 - 1152*x^3) + E^(-8 + 2*x)*(3 + 36*x + 144*x^2 + 192*x^3)),x]","\frac{1}{3} \left(\frac{e^4 \left(x^2-9 x\right)}{\left(e^x-3 e^4\right) (4 x+1)^2}+\frac{3}{(4 x+1)^2}\right)","\frac{3-\frac{(x-9) x}{3-e^{x-4}}}{3 (4 x+1)^2}",1,"(3/(1 + 4*x)^2 + (E^4*(-9*x + x^2))/((-3*E^4 + E^x)*(1 + 4*x)^2))/3","A",1
684,1,21,26,0.1590207,"\int \frac{\left(-36 x^3-24 x^4-4 x^5\right) \log ^2(x)+e^{\frac{1}{\left(3 x^3+x^4\right) \log (x)}} \left(3+x+(9+4 x) \log (x)+\left(9 x^3+6 x^4+x^5\right) \log ^2(x)\right)}{e^{\frac{1}{\left(3 x^3+x^4\right) \log (x)}} \left(-72 x^3-48 x^4-8 x^5\right) \log ^2(x)+e^{\frac{2}{\left(3 x^3+x^4\right) \log (x)}} \left(9 x^3+6 x^4+x^5\right) \log ^2(x)+\left(144 x^3+96 x^4+16 x^5\right) \log ^2(x)} \, dx","Integrate[((-36*x^3 - 24*x^4 - 4*x^5)*Log[x]^2 + E^(1/((3*x^3 + x^4)*Log[x]))*(3 + x + (9 + 4*x)*Log[x] + (9*x^3 + 6*x^4 + x^5)*Log[x]^2))/(E^(1/((3*x^3 + x^4)*Log[x]))*(-72*x^3 - 48*x^4 - 8*x^5)*Log[x]^2 + E^(2/((3*x^3 + x^4)*Log[x]))*(9*x^3 + 6*x^4 + x^5)*Log[x]^2 + (144*x^3 + 96*x^4 + 16*x^5)*Log[x]^2),x]","\frac{x}{e^{\frac{1}{x^3 (x+3) \log (x)}}-4}","2-\frac{x}{4-e^{\frac{1}{x^3 (x+3) \log (x)}}}",1,"x/(-4 + E^(1/(x^3*(3 + x)*Log[x])))","A",1
685,1,32,22,0.0602538,"\int e^{-1-e^x} \left(e^{1+e^x}-18 e^x+80 e^{2 x}-32 e^{3 x}\right) \, dx","Integrate[E^(-1 - E^x)*(E^(1 + E^x) - 18*E^x + 80*E^(2*x) - 32*E^(3*x)),x]","e^{-e^x} \left(-16 e^{x-1}+32 e^{2 x-1}+\frac{2}{e}\right)+x","2 e^{-e^x-1} \left(4 e^x-1\right)^2+x",1,"(2/E - 16*E^(-1 + x) + 32*E^(-1 + 2*x))/E^E^x + x","A",1
686,1,37,24,1.1632971,"\int \frac{-3 x^2-6 x^3-9 \log ^2\left(5 e^{x+x^2}\right)}{x^2+\left(6 x-6 x^2\right) \log \left(5 e^{x+x^2}\right)+\left(9-18 x+9 x^2\right) \log ^2\left(5 e^{x+x^2}\right)} \, dx","Integrate[(-3*x^2 - 6*x^3 - 9*Log[5*E^(x + x^2)]^2)/(x^2 + (6*x - 6*x^2)*Log[5*E^(x + x^2)] + (9 - 18*x + 9*x^2)*Log[5*E^(x + x^2)]^2),x]","\frac{3 \left(3 \log \left(5 e^{x^2+x}\right)+x\right)}{9 (x-1) \log \left(5 e^{x^2+x}\right)-3 x}","\frac{x}{-\frac{x}{3 \log \left(5 e^{x^2+x}\right)}+x-1}",1,"(3*(x + 3*Log[5*E^(x + x^2)]))/(-3*x + 9*(-1 + x)*Log[5*E^(x + x^2)])","A",1
687,1,18,27,0.0365383,"\int \frac{-12+e^{3+2 x+x^2} \left(4 x^2+4 x^3\right)}{x^2} \, dx","Integrate[(-12 + E^(3 + 2*x + x^2)*(4*x^2 + 4*x^3))/x^2,x]","2 e^{x^2+2 x+3}+\frac{12}{x}","\frac{2 \left(\left(e^{x \left(x+\frac{3}{x}+2\right)}+\frac{2}{x}\right) x+4\right)}{x}",1,"2*E^(3 + 2*x + x^2) + 12/x","A",1
688,1,17,18,0.0058278,"\int \frac{x^3+4 \log (3)+512 x^2 \log (x)}{x^3} \, dx","Integrate[(x^3 + 4*Log[3] + 512*x^2*Log[x])/x^3,x]","-\frac{\log (81)}{2 x^2}+x+256 \log ^2(x)","-\frac{2 \log (3)}{x^2}+x+256 \log ^2(x)+2+\log (5)",1,"x - Log[81]/(2*x^2) + 256*Log[x]^2","A",1
689,1,27,31,0.2716736,"\int \frac{\exp \left(\frac{-8-8 x+3 x^2+x^3+\left(4+2 x-2 x^2\right) \log (2)}{-4-2 x+2 x^2}\right) \left(8+16 x-2 x^2-5 x^3+x^5\right)}{8+8 x-6 x^2-4 x^3+2 x^4} \, dx","Integrate[(E^((-8 - 8*x + 3*x^2 + x^3 + (4 + 2*x - 2*x^2)*Log[2])/(-4 - 2*x + 2*x^2))*(8 + 16*x - 2*x^2 - 5*x^3 + x^5))/(8 + 8*x - 6*x^2 - 4*x^3 + 2*x^4),x]","\frac{1}{2} e^{-\frac{x}{x^2-x-2}+\frac{x}{2}+2} x","\frac{1}{2} e^{\frac{x}{(2-x) (x+1)}+\frac{x+4}{2}} x+e",1,"(E^(2 + x/2 - x/(-2 - x + x^2))*x)/2","A",1
690,1,24,25,0.0940542,"\int \frac{-24-4 x-4 x \log \left(x^2\right)+\left(-12 x+4 x^2+(-12+4 x) \log \left(x^2\right)\right) \log \left(\frac{6-2 x}{x+\log \left(x^2\right)}\right)+\left(12 x-4 x^2+(12-4 x) \log \left(x^2\right)\right) \log ^2\left(\frac{6-2 x}{x+\log \left(x^2\right)}\right)}{\left(-3 x+x^2+(-3+x) \log \left(x^2\right)\right) \log ^2\left(\frac{6-2 x}{x+\log \left(x^2\right)}\right)} \, dx","Integrate[(-24 - 4*x - 4*x*Log[x^2] + (-12*x + 4*x^2 + (-12 + 4*x)*Log[x^2])*Log[(6 - 2*x)/(x + Log[x^2])] + (12*x - 4*x^2 + (12 - 4*x)*Log[x^2])*Log[(6 - 2*x)/(x + Log[x^2])]^2)/((-3*x + x^2 + (-3 + x)*Log[x^2])*Log[(6 - 2*x)/(x + Log[x^2])]^2),x]","-4 \left(x-\frac{x}{\log \left(\frac{6-2 x}{\log \left(x^2\right)+x}\right)}\right)","\frac{4 x}{\log \left(\frac{2 (3-x)}{\log \left(x^2\right)+x}\right)}-4 x",1,"-4*(x - x/Log[(6 - 2*x)/(x + Log[x^2])])","A",1
691,1,10,16,0.0026805,"\int -\frac{18 x}{-1+9 x^2} \, dx","Integrate[(-18*x)/(-1 + 9*x^2),x]","-\log \left(1-9 x^2\right)","\log \left(\frac{2}{9 x^2-1}\right)+\frac{1}{4}",1,"-Log[1 - 9*x^2]","A",1
692,1,39,21,0.0083255,"\int \frac{\left(-14623232+5483712 x^2-1827904 x^3+171366 x^4\right) \log ^2(2)+x^2 \log (5)}{x^2} \, dx","Integrate[((-14623232 + 5483712*x^2 - 1827904*x^3 + 171366*x^4)*Log[2]^2 + x^2*Log[5])/x^2,x]","57122 x^3 \log ^2(2)-913952 x^2 \log ^2(2)+5483712 x \log ^2(2)+\frac{14623232 \log ^2(2)}{x}+x \log (5)","x \left(\frac{57122 (4-x)^4 \log ^2(2)}{x^2}+\log (5)\right)",1,"(14623232*Log[2]^2)/x + 5483712*x*Log[2]^2 - 913952*x^2*Log[2]^2 + 57122*x^3*Log[2]^2 + x*Log[5]","A",1
693,1,32,26,0.2959572,"\int \frac{\left(2 e^{9-5 x+x^2}+4 x-2 x^2\right) \log (x)+\left(-2 x+e^{9-5 x+x^2} \left(-2-5 x+2 x^2\right)\right) \log ^2(x)}{x^3} \, dx","Integrate[((2*E^(9 - 5*x + x^2) + 4*x - 2*x^2)*Log[x] + (-2*x + E^(9 - 5*x + x^2)*(-2 - 5*x + 2*x^2))*Log[x]^2)/x^3,x]","\frac{e^{-5 x} \left(e^{x^2+9}-e^{5 x} (x-2) x\right) \log ^2(x)}{x^2}","\frac{\left(-x+\frac{e^{(x-3)^2+x}}{x}+2\right) \log ^2(x)}{x}",1,"((E^(9 + x^2) - E^(5*x)*(-2 + x)*x)*Log[x]^2)/(E^(5*x)*x^2)","A",1
694,1,33,26,0.4190165,"\int \frac{8+(80-20 x) \log \left(\frac{324}{16-8 x+x^2}\right)+\left(-4+21 x-5 x^2\right) \log ^2\left(\frac{324}{16-8 x+x^2}\right)}{(-80+20 x) \log \left(\frac{324}{16-8 x+x^2}\right)+\left(-20 x+5 x^2\right) \log ^2\left(\frac{324}{16-8 x+x^2}\right)} \, dx","Integrate[(8 + (80 - 20*x)*Log[324/(16 - 8*x + x^2)] + (-4 + 21*x - 5*x^2)*Log[324/(16 - 8*x + x^2)]^2)/((-80 + 20*x)*Log[324/(16 - 8*x + x^2)] + (-20*x + 5*x^2)*Log[324/(16 - 8*x + x^2)]^2),x]","\frac{1}{5} \left(-5 x-\log \left(\log \left(\frac{324}{(x-4)^2}\right)\right)+\log \left(x \log \left(\frac{324}{(x-4)^2}\right)+4\right)+20\right)","-x+\frac{1}{5} \log \left(x+\frac{4}{\log \left(\frac{324}{(x-4)^2}\right)}\right)+e^4",1,"(20 - 5*x - Log[Log[324/(-4 + x)^2]] + Log[4 + x*Log[324/(-4 + x)^2]])/5","A",1
695,1,45,31,0.3313405,"\int \frac{-36 x^2-60 x^3-37 x^4-10 x^5-x^6+e^x \left(-12-8 x+6 x^2+8 x^3+2 x^4+e^2 \left(-12-8 x+5 x^2+5 x^3+x^4\right)\right)}{36 x^2+60 x^3+37 x^4+10 x^5+x^6} \, dx","Integrate[(-36*x^2 - 60*x^3 - 37*x^4 - 10*x^5 - x^6 + E^x*(-12 - 8*x + 6*x^2 + 8*x^3 + 2*x^4 + E^2*(-12 - 8*x + 5*x^2 + 5*x^3 + x^4)))/(36*x^2 + 60*x^3 + 37*x^4 + 10*x^5 + x^6),x]","-x+\frac{e^x}{x+2}-\frac{\left(4+e^2\right) e^x}{3 (x+3)}+\frac{\left(1+e^2\right) e^x}{3 x}","-x+\frac{e^x \left(-\frac{4}{2 x+4}+e^2+2\right)}{(x+3) x}-2",1,"(E^x*(1 + E^2))/(3*x) - x + E^x/(2 + x) - (E^x*(4 + E^2))/(3*(3 + x))","A",1
696,1,55,32,0.0493931,"\int \frac{-25-10 \log (3)-\log ^2(3)+\left(2426-3040 x+969 x^2-120 x^3+5 x^4+(10-40 x) \log (3)+(1-4 x) \log ^2(3)\right) \log (x)+\left(-25-10 \log (3)-\log ^2(3)\right) \log (x) \log (\log (x))}{\left(25+10 \log (3)+\log ^2(3)\right) \log (x)} \, dx","Integrate[(-25 - 10*Log[3] - Log[3]^2 + (2426 - 3040*x + 969*x^2 - 120*x^3 + 5*x^4 + (10 - 40*x)*Log[3] + (1 - 4*x)*Log[3]^2)*Log[x] + (-25 - 10*Log[3] - Log[3]^2)*Log[x]*Log[Log[x]])/((25 + 10*Log[3] + Log[3]^2)*Log[x]),x]","\frac{x \left(x^4-30 x^3+323 x^2-2 x \left(760+\log ^2(3)+10 \log (3)\right)-(5+\log (3))^2 \log (\log (x))+2426+\log ^2(3)+10 \log (3)\right)}{(5+\log (3))^2}","x \left(-2 x+\frac{\left(x-(7-x)^2\right)^2}{(5+\log (3))^2}-\log (\log (x))+1\right)",1,"(x*(2426 + 323*x^2 - 30*x^3 + x^4 + 10*Log[3] + Log[3]^2 - 2*x*(760 + 10*Log[3] + Log[3]^2) - (5 + Log[3])^2*Log[Log[x]]))/(5 + Log[3])^2","A",1
697,1,24,24,0.1308192,"\int \frac{-3 x+3 x^2-3 \log (x)+\left(-3 x^2-3 x \log (x)\right) \log (\log (x))+\left(3 x+(-3-3 x) \log (x)+3 \log ^2(x)+(-3 x+3 x \log (x)) \log (\log (x))\right) \log (-3 x+3 \log (x)+3 x \log (\log (x)))}{-x^3 \log ^2(x)+x^2 \log ^3(x)+x^3 \log ^2(x) \log (\log (x))+\left(-2 x^2 \log ^2(x)+2 x \log ^3(x)+2 x^2 \log ^2(x) \log (\log (x))\right) \log (-3 x+3 \log (x)+3 x \log (\log (x)))+\left(-x \log ^2(x)+\log ^3(x)+x \log ^2(x) \log (\log (x))\right) \log ^2(-3 x+3 \log (x)+3 x \log (\log (x)))} \, dx","Integrate[(-3*x + 3*x^2 - 3*Log[x] + (-3*x^2 - 3*x*Log[x])*Log[Log[x]] + (3*x + (-3 - 3*x)*Log[x] + 3*Log[x]^2 + (-3*x + 3*x*Log[x])*Log[Log[x]])*Log[-3*x + 3*Log[x] + 3*x*Log[Log[x]]])/(-(x^3*Log[x]^2) + x^2*Log[x]^3 + x^3*Log[x]^2*Log[Log[x]] + (-2*x^2*Log[x]^2 + 2*x*Log[x]^3 + 2*x^2*Log[x]^2*Log[Log[x]])*Log[-3*x + 3*Log[x] + 3*x*Log[Log[x]]] + (-(x*Log[x]^2) + Log[x]^3 + x*Log[x]^2*Log[Log[x]])*Log[-3*x + 3*Log[x] + 3*x*Log[Log[x]]]^2),x]","\frac{3 x}{\log (x) (x+\log (3 (\log (x)+x (\log (\log (x))-1))))}","\frac{3 x}{\log (x) (x+\log (3 (\log (x)+x (\log (\log (x))-1))))}",1,"(3*x)/(Log[x]*(x + Log[3*(Log[x] + x*(-1 + Log[Log[x]]))]))","A",1
698,1,27,29,0.2569653,"\int \frac{x^{\frac{x}{x^2+\left(25 x^2+10 x^3+11 x^4+2 x^5+x^6\right)^x \log (x)}} \left(5 x^2+x^3+x^4+\left(-5 x^2-x^3-x^4\right) \log (x)+\left(25 x^2+10 x^3+11 x^4+2 x^5+x^6\right)^x \left(\left(5-9 x-3 x^2-6 x^3\right) \log ^2(x)+\left(-5 x-x^2-x^3\right) \log ^2(x) \log \left(25 x^2+10 x^3+11 x^4+2 x^5+x^6\right)\right)\right)}{5 x^4+x^5+x^6+\left(10 x^2+2 x^3+2 x^4\right) \left(25 x^2+10 x^3+11 x^4+2 x^5+x^6\right)^x \log (x)+\left(5+x+x^2\right) \left(25 x^2+10 x^3+11 x^4+2 x^5+x^6\right)^{2 x} \log ^2(x)} \, dx","Integrate[(x^(x/(x^2 + (25*x^2 + 10*x^3 + 11*x^4 + 2*x^5 + x^6)^x*Log[x]))*(5*x^2 + x^3 + x^4 + (-5*x^2 - x^3 - x^4)*Log[x] + (25*x^2 + 10*x^3 + 11*x^4 + 2*x^5 + x^6)^x*((5 - 9*x - 3*x^2 - 6*x^3)*Log[x]^2 + (-5*x - x^2 - x^3)*Log[x]^2*Log[25*x^2 + 10*x^3 + 11*x^4 + 2*x^5 + x^6])))/(5*x^4 + x^5 + x^6 + (10*x^2 + 2*x^3 + 2*x^4)*(25*x^2 + 10*x^3 + 11*x^4 + 2*x^5 + x^6)^x*Log[x] + (5 + x + x^2)*(25*x^2 + 10*x^3 + 11*x^4 + 2*x^5 + x^6)^(2*x)*Log[x]^2),x]","x^{\frac{x}{x^2+\left(x^2 \left(x^2+x+5\right)^2\right)^x \log (x)}}","e^{\frac{x}{\left(\left(\left(x^2+x+4\right) x+x\right)^2\right)^x+\frac{x^2}{\log (x)}}}",1,"x^(x/(x^2 + (x^2*(5 + x + x^2)^2)^x*Log[x]))","A",1
699,1,35,24,0.1092744,"\int \left(4 x+24 x^2+26 x^3-30 x^4+6 x^5+e^{4-2 x} \left(2 x-2 x^2\right)+e^{2-x} \left(6 x+16 x^2-14 x^3+2 x^4\right)+\left(6 x+18 x^2-8 x^3+e^{2-x} \left(4 x-2 x^2\right)\right) \log (x)+2 x \log ^2(x)\right) \, dx","Integrate[4*x + 24*x^2 + 26*x^3 - 30*x^4 + 6*x^5 + E^(4 - 2*x)*(2*x - 2*x^2) + E^(2 - x)*(6*x + 16*x^2 - 14*x^3 + 2*x^4) + (6*x + 18*x^2 - 8*x^3 + E^(2 - x)*(4*x - 2*x^2))*Log[x] + 2*x*Log[x]^2,x]","e^{-2 x} x^2 \left(e^x \left(-x^2+3 x+1\right)+e^x \log (x)+e^2\right)^2","x^2 \left(-((x-2) x)+x+e^{2-x}+\log (x)+1\right)^2",1,"(x^2*(E^2 + E^x*(1 + 3*x - x^2) + E^x*Log[x])^2)/E^(2*x)","A",1
700,1,40,34,0.0966241,"\int \frac{\left(-8 x^2+2 x^3-2 x^4\right) \log (5) \log \left(\frac{1}{4} \left(-4 x+x^2-x^3\right)\right)+\left(16-8 x+12 x^2+\left(-4 x^2+2 x^3-3 x^4\right) \log (5)\right) \log \left(-4+x^2 \log (5)\right)+\left(8 x^2-2 x^3+2 x^4\right) \log (5) \log \left(\frac{1}{4} \left(-4 x+x^2-x^3\right)\right) \log \left(\log \left(\frac{1}{4} \left(-4 x+x^2-x^3\right)\right)\right)}{\left(-16 x+4 x^2-4 x^3+\left(4 x^3-x^4+x^5\right) \log (5)\right) \log \left(\frac{1}{4} \left(-4 x+x^2-x^3\right)\right) \log ^2\left(-4+x^2 \log (5)\right)} \, dx","Integrate[((-8*x^2 + 2*x^3 - 2*x^4)*Log[5]*Log[(-4*x + x^2 - x^3)/4] + (16 - 8*x + 12*x^2 + (-4*x^2 + 2*x^3 - 3*x^4)*Log[5])*Log[-4 + x^2*Log[5]] + (8*x^2 - 2*x^3 + 2*x^4)*Log[5]*Log[(-4*x + x^2 - x^3)/4]*Log[Log[(-4*x + x^2 - x^3)/4]])/((-16*x + 4*x^2 - 4*x^3 + (4*x^3 - x^4 + x^5)*Log[5])*Log[(-4*x + x^2 - x^3)/4]*Log[-4 + x^2*Log[5]]^2),x]","\frac{1}{\log \left(x^2 \log (5)-4\right)}-\frac{\log \left(\log \left(-\frac{1}{4} x \left(x^2-x+4\right)\right)\right)}{\log \left(x^2 \log (5)-4\right)}","\frac{1-\log \left(\log \left(\frac{1}{4} x \left(x-x^2\right)-x\right)\right)}{\log \left(x^2 \log (5)-4\right)}",1,"Log[-4 + x^2*Log[5]]^(-1) - Log[Log[-1/4*(x*(4 - x + x^2))]]/Log[-4 + x^2*Log[5]]","A",1
701,1,21,26,0.0400453,"\int \left(150 x^5+e^{-12+10 x} \left(100 x^3+250 x^4\right)+e^{-6+5 x} \left(250 x^4+250 x^5\right)\right) \, dx","Integrate[150*x^5 + E^(-12 + 10*x)*(100*x^3 + 250*x^4) + E^(-6 + 5*x)*(250*x^4 + 250*x^5),x]","\frac{25 x^4 \left(e^6 x+e^{5 x}\right)^2}{e^{12}}","25 \left(x+e^{x-2 (3-2 x)}\right)^2 x^4+2-\log (4)",1,"(25*x^4*(E^(5*x) + E^6*x)^2)/E^12","A",1
702,0,0,35,12.893239,"\int \frac{3+x^2+e^4 x^2+\left(2 x+2 e^4 x\right) \log (3)+\left(1+e^4\right) \log ^2(3)+e^{2 x} \left(x^4+e^4 x^4\right) \log ^2(3)+e^x \left(3 x^2+3 x^3+\left(-2 x^3-2 e^4 x^3\right) \log (3)+\left(-2 x^2-2 e^4 x^2\right) \log ^2(3)\right)}{-3 x-x^2+x^3+e^4 x^3+\left(-3-2 x+2 x^2+2 e^4 x^2\right) \log (3)+\left(-1+x+e^4 x\right) \log ^2(3)+e^x \left(3 x^3+\left(6 x^2+2 x^3-2 x^4-2 e^4 x^4\right) \log (3)+\left(2 x^2-2 x^3-2 e^4 x^3\right) \log ^2(3)\right)+e^{2 x} \left(-3 x^4 \log (3)+\left(-x^4+x^5+e^4 x^5\right) \log ^2(3)\right)} \, dx","Integrate[(3 + x^2 + E^4*x^2 + (2*x + 2*E^4*x)*Log[3] + (1 + E^4)*Log[3]^2 + E^(2*x)*(x^4 + E^4*x^4)*Log[3]^2 + E^x*(3*x^2 + 3*x^3 + (-2*x^3 - 2*E^4*x^3)*Log[3] + (-2*x^2 - 2*E^4*x^2)*Log[3]^2))/(-3*x - x^2 + x^3 + E^4*x^3 + (-3 - 2*x + 2*x^2 + 2*E^4*x^2)*Log[3] + (-1 + x + E^4*x)*Log[3]^2 + E^x*(3*x^3 + (6*x^2 + 2*x^3 - 2*x^4 - 2*E^4*x^4)*Log[3] + (2*x^2 - 2*x^3 - 2*E^4*x^3)*Log[3]^2) + E^(2*x)*(-3*x^4*Log[3] + (-x^4 + x^5 + E^4*x^5)*Log[3]^2)),x]","\int \frac{3+x^2+e^4 x^2+\left(2 x+2 e^4 x\right) \log (3)+\left(1+e^4\right) \log ^2(3)+e^{2 x} \left(x^4+e^4 x^4\right) \log ^2(3)+e^x \left(3 x^2+3 x^3+\left(-2 x^3-2 e^4 x^3\right) \log (3)+\left(-2 x^2-2 e^4 x^2\right) \log ^2(3)\right)}{-3 x-x^2+x^3+e^4 x^3+\left(-3-2 x+2 x^2+2 e^4 x^2\right) \log (3)+\left(-1+x+e^4 x\right) \log ^2(3)+e^x \left(3 x^3+\left(6 x^2+2 x^3-2 x^4-2 e^4 x^4\right) \log (3)+\left(2 x^2-2 x^3-2 e^4 x^3\right) \log ^2(3)\right)+e^{2 x} \left(-3 x^4 \log (3)+\left(-x^4+x^5+e^4 x^5\right) \log ^2(3)\right)} \, dx","\log \left(\frac{3}{\frac{x}{1-e^x x^2}+\log (3)}-e^4 x-x+1\right)+1",1,"Integrate[(3 + x^2 + E^4*x^2 + (2*x + 2*E^4*x)*Log[3] + (1 + E^4)*Log[3]^2 + E^(2*x)*(x^4 + E^4*x^4)*Log[3]^2 + E^x*(3*x^2 + 3*x^3 + (-2*x^3 - 2*E^4*x^3)*Log[3] + (-2*x^2 - 2*E^4*x^2)*Log[3]^2))/(-3*x - x^2 + x^3 + E^4*x^3 + (-3 - 2*x + 2*x^2 + 2*E^4*x^2)*Log[3] + (-1 + x + E^4*x)*Log[3]^2 + E^x*(3*x^3 + (6*x^2 + 2*x^3 - 2*x^4 - 2*E^4*x^4)*Log[3] + (2*x^2 - 2*x^3 - 2*E^4*x^3)*Log[3]^2) + E^(2*x)*(-3*x^4*Log[3] + (-x^4 + x^5 + E^4*x^5)*Log[3]^2)), x]","F",-1
703,1,329,30,0.3531587,"\int \frac{-288 x+4416 x^2-28803 x^3+104206 x^4-229260 x^5+318269 x^6-283473 x^7+164104 x^8-61968 x^9+15115 x^{10}-2343 x^{11}+236 x^{12}-18 x^{13}+x^{14}+e^{20} \left(x^4-x^6\right)+e^{15} \left(3 x^3-22 x^4+48 x^5-29 x^6+2 x^8\right)+e^{10} \left(96 x^2-585 x^3+1047 x^4-315 x^5-435 x^6+171 x^7+45 x^8-18 x^9\right)+e^5 \left(288 x-3648 x^2+18729 x^3-49936 x^4+74007 x^5-61691 x^6+29295 x^7-8121 x^8+1494 x^9-253 x^{10}+36 x^{11}-2 x^{12}\right)+\left(864-13248 x+86427 x^2-312894 x^3+689580 x^4-961317 x^5+864729 x^6-512136 x^7+203472 x^8-55395 x^9+10719 x^{10}-1548 x^{11}+162 x^{12}-9 x^{13}+e^{15} \left(9 x^3-27 x^4+27 x^6-9 x^7\right)+e^{10} \left(27 x^2-270 x^3+999 x^4-1665 x^5+1215 x^6-333 x^7+9 x^9\right)+e^5 \left(288 x-2646 x^2+9027 x^3-13797 x^4+9081 x^5-3078 x^6+2934 x^7-2808 x^8+1143 x^9-189 x^{10}+9 x^{11}\right)\right) \log (x)+\left(-81 x+1242 x^2-8100 x^3+29295 x^4-64395 x^5+89208 x^6-79056 x^7+45225 x^8-16605 x^9+3780 x^{10}-486 x^{11}+27 x^{12}+e^{10} \left(27 x^2-162 x^3+270 x^4-270 x^6+162 x^7-27 x^8\right)+e^5 \left(81 x-1026 x^2+5265 x^3-14013 x^4+20655 x^5-16929 x^6+7614 x^7-1755 x^8+162 x^9\right)\right) \log ^2(x)+\left(81-1242 x+8100 x^2-29295 x^3+64395 x^4-89208 x^5+79056 x^6-45225 x^7+16605 x^8-3780 x^9+486 x^{10}-27 x^{11}+e^5 \left(27 x-243 x^2+783 x^3-972 x^4+972 x^6-783 x^7+243 x^8-27 x^9\right)\right) \log ^3(x)}{64 x-960 x^2+6080 x^3-21120 x^4+43840 x^5-55872 x^6+43840 x^7-21120 x^8+6080 x^9-960 x^{10}+64 x^{11}} \, dx","Integrate[(-288*x + 4416*x^2 - 28803*x^3 + 104206*x^4 - 229260*x^5 + 318269*x^6 - 283473*x^7 + 164104*x^8 - 61968*x^9 + 15115*x^10 - 2343*x^11 + 236*x^12 - 18*x^13 + x^14 + E^20*(x^4 - x^6) + E^15*(3*x^3 - 22*x^4 + 48*x^5 - 29*x^6 + 2*x^8) + E^10*(96*x^2 - 585*x^3 + 1047*x^4 - 315*x^5 - 435*x^6 + 171*x^7 + 45*x^8 - 18*x^9) + E^5*(288*x - 3648*x^2 + 18729*x^3 - 49936*x^4 + 74007*x^5 - 61691*x^6 + 29295*x^7 - 8121*x^8 + 1494*x^9 - 253*x^10 + 36*x^11 - 2*x^12) + (864 - 13248*x + 86427*x^2 - 312894*x^3 + 689580*x^4 - 961317*x^5 + 864729*x^6 - 512136*x^7 + 203472*x^8 - 55395*x^9 + 10719*x^10 - 1548*x^11 + 162*x^12 - 9*x^13 + E^15*(9*x^3 - 27*x^4 + 27*x^6 - 9*x^7) + E^10*(27*x^2 - 270*x^3 + 999*x^4 - 1665*x^5 + 1215*x^6 - 333*x^7 + 9*x^9) + E^5*(288*x - 2646*x^2 + 9027*x^3 - 13797*x^4 + 9081*x^5 - 3078*x^6 + 2934*x^7 - 2808*x^8 + 1143*x^9 - 189*x^10 + 9*x^11))*Log[x] + (-81*x + 1242*x^2 - 8100*x^3 + 29295*x^4 - 64395*x^5 + 89208*x^6 - 79056*x^7 + 45225*x^8 - 16605*x^9 + 3780*x^10 - 486*x^11 + 27*x^12 + E^10*(27*x^2 - 162*x^3 + 270*x^4 - 270*x^6 + 162*x^7 - 27*x^8) + E^5*(81*x - 1026*x^2 + 5265*x^3 - 14013*x^4 + 20655*x^5 - 16929*x^6 + 7614*x^7 - 1755*x^8 + 162*x^9))*Log[x]^2 + (81 - 1242*x + 8100*x^2 - 29295*x^3 + 64395*x^4 - 89208*x^5 + 79056*x^6 - 45225*x^7 + 16605*x^8 - 3780*x^9 + 486*x^10 - 27*x^11 + E^5*(27*x - 243*x^2 + 783*x^3 - 972*x^4 + 972*x^6 - 783*x^7 + 243*x^8 - 27*x^9))*Log[x]^3)/(64*x - 960*x^2 + 6080*x^3 - 21120*x^4 + 43840*x^5 - 55872*x^6 + 43840*x^7 - 21120*x^8 + 6080*x^9 - 960*x^10 + 64*x^11),x]","\frac{1}{256} \left(x^4-4 \left(e^5-48\right) x^2+\frac{2 e^5 \left(-618 x+9 e^5 (2 x+13)-2 e^{10}+208\right)}{x^2-3 x+1}+\frac{e^{10} \left(702 x-4 e^5 (6 x+7)+e^{10}-240\right)}{\left(x^2-3 x+1\right)^2}+\frac{e^{15} \left(-84 x+e^5 (6 x+7)+32\right)}{\left(x^2-3 x+1\right)^3}+\frac{e^{20} (21 x-8)}{\left(x^2-3 x+1\right)^4}-\frac{108 \left(x^2-3 x-e^5+1\right) x \log ^3(x)}{x^2-3 x+1}+\frac{12 \left(e^{15} x^3-\left(x^2+96\right) \left(x^2-3 x+1\right)^3 x-3 e^{10} \left(x^2-3 x+1\right) x^3+3 e^5 \left(x^2-3 x+1\right)^2 \left(x^3-3 x^2+41 x-3\right)\right) \log (x)}{\left(x^2-3 x+1\right)^3}+\frac{54 \left(x^6-6 x^5+\left(43-2 e^5\right) x^4+6 \left(e^5-33\right) x^3+\left(353-2 e^5+e^{10}\right) x^2-192 x+32\right) \log ^2(x)}{\left(x^2-3 x+1\right)^2}-12 e^5 x+81 \log ^4(x)+108 e^5 \log (x)\right)","\left(\frac{1}{16} \left(-x+\frac{e^5}{x+\frac{1}{x}-3}+3 \log (x)\right)^2+6\right)^2",1,"(-12*E^5*x - 4*(-48 + E^5)*x^2 + x^4 + (E^20*(-8 + 21*x))/(1 - 3*x + x^2)^4 + (2*E^5*(208 - 2*E^10 - 618*x + 9*E^5*(13 + 2*x)))/(1 - 3*x + x^2) + (E^10*(-240 + E^10 + 702*x - 4*E^5*(7 + 6*x)))/(1 - 3*x + x^2)^2 + (E^15*(32 - 84*x + E^5*(7 + 6*x)))/(1 - 3*x + x^2)^3 + 108*E^5*Log[x] + (12*(E^15*x^3 - 3*E^10*x^3*(1 - 3*x + x^2) - x*(96 + x^2)*(1 - 3*x + x^2)^3 + 3*E^5*(1 - 3*x + x^2)^2*(-3 + 41*x - 3*x^2 + x^3))*Log[x])/(1 - 3*x + x^2)^3 + (54*(32 - 192*x + (353 - 2*E^5 + E^10)*x^2 + 6*(-33 + E^5)*x^3 + (43 - 2*E^5)*x^4 - 6*x^5 + x^6)*Log[x]^2)/(1 - 3*x + x^2)^2 - (108*x*(1 - E^5 - 3*x + x^2)*Log[x]^3)/(1 - 3*x + x^2) + 81*Log[x]^4)/256","B",1
704,1,14,17,0.0057586,"\int \frac{-9-3 e^5+6 x-x^2}{9-6 x+x^2} \, dx","Integrate[(-9 - 3*E^5 + 6*x - x^2)/(9 - 6*x + x^2),x]","\frac{3 e^5}{x-3}-x","-x+\frac{3 e^5}{x-3}+6+\log (25)",1,"(3*E^5)/(-3 + x) - x","A",1
705,1,21,21,0.4487544,"\int \frac{9+6 e^4+6 x+(9+6 x) \log (x)}{-3-2 x+\left(3 x+2 x^2\right) \log (x)+e^4 (3+2 x) \log \left(\frac{1}{2} (3+2 x)\right)} \, dx","Integrate[(9 + 6*E^4 + 6*x + (9 + 6*x)*Log[x])/(-3 - 2*x + (3*x + 2*x^2)*Log[x] + E^4*(3 + 2*x)*Log[(3 + 2*x)/2]),x]","3 \log \left(-x \log (x)-e^4 \log \left(x+\frac{3}{2}\right)+1\right)","3 \left(\log \left(x \log (x)+e^4 \log \left(x+\frac{3}{2}\right)-1\right)+5\right)",1,"3*Log[1 - x*Log[x] - E^4*Log[3/2 + x]]","A",1
706,1,13,10,0.0001116,"\int \left(-5+4 x^3+3 x^2 \log (4)\right) \, dx","Integrate[-5 + 4*x^3 + 3*x^2*Log[4],x]","x^4+x^3 \log (4)-5 x","\left(x^3-5\right) (x+\log (4))",1,"-5*x + x^4 + x^3*Log[4]","A",1
707,1,21,24,0.5420486,"\int \frac{e^{\frac{-2+e^x}{15-18 x+3 x^2}} \left(-12+4 x+e^x \left(11-8 x+x^2\right)\right)}{75-180 x+138 x^2-36 x^3+3 x^4} \, dx","Integrate[(E^((-2 + E^x)/(15 - 18*x + 3*x^2))*(-12 + 4*x + E^x*(11 - 8*x + x^2)))/(75 - 180*x + 138*x^2 - 36*x^3 + 3*x^4),x]","e^{\frac{e^x-2}{3 \left(x^2-6 x+5\right)}}","e^{\frac{2-e^x}{(5-x) (3 x-3)}}",1,"E^((-2 + E^x)/(3*(5 - 6*x + x^2)))","A",1
708,1,29,26,0.0656007,"\int \frac{16 x+16 x^5 \log (5)+4 x^9 \log ^2(5)+\left(-2+x^4 \log (5)-x^8 \log ^2(5)\right) \log (x)}{\left(8 x^2+8 x^6 \log (5)+2 x^{10} \log ^2(5)\right) \log (x)} \, dx","Integrate[(16*x + 16*x^5*Log[5] + 4*x^9*Log[5]^2 + (-2 + x^4*Log[5] - x^8*Log[5]^2)*Log[x])/((8*x^2 + 8*x^6*Log[5] + 2*x^10*Log[5]^2)*Log[x]),x]","\frac{1}{4} \left(\frac{x^3 \log (5)}{x^4 \log (5)+2}+\frac{1}{x}+8 \log (\log (x))\right)","\frac{1}{2 \left(\frac{x}{x^4 \log (5)+1}+x\right)}+\log \left(\log ^2(x)\right)",1,"(x^(-1) + (x^3*Log[5])/(2 + x^4*Log[5]) + 8*Log[Log[x]])/4","A",1
709,1,33,35,0.0609817,"\int \frac{250+10 e^{2 x}-100 x^2+10 x^4+e^2 \left(-75 x+45 x^2-15 x^3+9 x^4\right)+e^x \left(-100+20 x^2+e^2 \left(15 x-24 x^2+9 x^3\right)\right)}{-750 x+450 x^2+300 x^3-180 x^4-30 x^5+18 x^6+e^{2 x} \left(-30 x+18 x^2\right)+e^x \left(300 x-180 x^2-60 x^3+36 x^4\right)} \, dx","Integrate[(250 + 10*E^(2*x) - 100*x^2 + 10*x^4 + E^2*(-75*x + 45*x^2 - 15*x^3 + 9*x^4) + E^x*(-100 + 20*x^2 + E^2*(15*x - 24*x^2 + 9*x^3)))/(-750*x + 450*x^2 + 300*x^3 - 180*x^4 - 30*x^5 + 18*x^6 + E^(2*x)*(-30*x + 18*x^2) + E^x*(300*x - 180*x^2 - 60*x^3 + 36*x^4)),x]","\frac{1}{6} \left(-\frac{3 e^2 x}{x^2+e^x-5}+2 \log (5-3 x)-2 \log (x)\right)","\frac{e^2 x}{2 \left(-x^2-e^x+5\right)}+\frac{1}{3} \log \left(\frac{5}{x}-3\right)",1,"((-3*E^2*x)/(-5 + E^x + x^2) + 2*Log[5 - 3*x] - 2*Log[x])/6","A",1
710,1,76,31,1.3193254,"\int \frac{-15+29 x+4 x^2-4 x^3+\left(-3+7 x-2 x^2\right) \log (5)+e^{2 x^2} \left(-25 x+55 x^2-128 x^3+12 x^4+8 x^5+\left(-5 x+12 x^2-28 x^3+8 x^4\right) \log (5)\right)+\left(25 x+5 x^2+5 x \log (5)\right) \log \left(5 x+x^2+x \log (5)\right)}{45 x-21 x^2-x^3+x^4+\left(9 x-6 x^2+x^3\right) \log (5)} \, dx","Integrate[(-15 + 29*x + 4*x^2 - 4*x^3 + (-3 + 7*x - 2*x^2)*Log[5] + E^(2*x^2)*(-25*x + 55*x^2 - 128*x^3 + 12*x^4 + 8*x^5 + (-5*x + 12*x^2 - 28*x^3 + 8*x^4)*Log[5]) + (25*x + 5*x^2 + 5*x*Log[5])*Log[5*x + x^2 + x*Log[5]])/(45*x - 21*x^2 - x^3 + x^4 + (9*x - 6*x^2 + x^3)*Log[5]),x]","\frac{e^{2 x^2} \left(2 x-1+8 \log ^3(5)-4 \log ^2(5) (\log (25)-14)-4 \log (5) (7 \log (25)-38)-76 \log (25)\right)}{x-3}-2 \log (x)-2 \log (x+5+\log (5))-\frac{5 \log (x (x+5+\log (5)))}{x-3}","\frac{(2 x-1) \left(\log (x (x+5+\log (5)))-e^{2 x^2}\right)}{3-x}",1,"(E^(2*x^2)*(-1 + 2*x + 8*Log[5]^3 - 4*Log[5]^2*(-14 + Log[25]) - 76*Log[25] - 4*Log[5]*(-38 + 7*Log[25])))/(-3 + x) - 2*Log[x] - 2*Log[5 + x + Log[5]] - (5*Log[x*(5 + x + Log[5])])/(-3 + x)","B",1
711,1,34,28,0.0665991,"\int \frac{-75-30 e^{10+x}-10 e^{10+2 x}-90 x-15 x^2}{81 e^{20}+12 e^{20+3 x}+e^{20+4 x}+225 x^2+270 x^3+111 x^4+18 x^5+x^6+e^{10} \left(270 x+162 x^2+18 x^3\right)+e^{2 x} \left(54 e^{20}+e^{10} \left(30 x+18 x^2+2 x^3\right)\right)+e^x \left(108 e^{20}+e^{10} \left(180 x+108 x^2+12 x^3\right)\right)} \, dx","Integrate[(-75 - 30*E^(10 + x) - 10*E^(10 + 2*x) - 90*x - 15*x^2)/(81*E^20 + 12*E^(20 + 3*x) + E^(20 + 4*x) + 225*x^2 + 270*x^3 + 111*x^4 + 18*x^5 + x^6 + E^10*(270*x + 162*x^2 + 18*x^3) + E^(2*x)*(54*E^20 + E^10*(30*x + 18*x^2 + 2*x^3)) + E^x*(108*E^20 + E^10*(180*x + 108*x^2 + 12*x^3))),x]","\frac{5}{x \left(x^2+9 x+15\right)+e^{2 (x+5)}+6 e^{x+10}+9 e^{10}}","\frac{5}{e^{10} \left(e^x+3\right)^2-x+x \left((x+4)^2+x\right)}",1,"5/(9*E^10 + E^(2*(5 + x)) + 6*E^(10 + x) + x*(15 + 9*x + x^2))","A",1
712,1,19,15,0.0127504,"\int \frac{e (7-2 x)-2 x+e \log (x)}{e} \, dx","Integrate[(E*(7 - 2*x) - 2*x + E*Log[x])/E,x]","-\frac{(1+e) x^2}{e}+6 x+x \log (x)","x \left(-\frac{x}{e}-x+\log (x)+6\right)",1,"6*x - ((1 + E)*x^2)/E + x*Log[x]","A",1
713,1,18,23,0.1051246,"\int \frac{e^{\frac{11-4 x^2 \log (x)}{22 \log (x)}} \left(-11-8 x^2 \log ^2(x)\right)}{22 x \log ^2(x)} \, dx","Integrate[(E^((11 - 4*x^2*Log[x])/(22*Log[x]))*(-11 - 8*x^2*Log[x]^2))/(22*x*Log[x]^2),x]","e^{\frac{1}{2 \log (x)}-\frac{2 x^2}{11}}","e^{\frac{1}{2 \log (x)}-\frac{1}{22} \log ^2\left(e^{2 x}\right)}",1,"E^((-2*x^2)/11 + 1/(2*Log[x]))","A",1
714,1,28,25,0.2388317,"\int \frac{\exp \left(e^{\frac{4 x}{-17+4 e^4+4 x}}+\frac{4 x}{-17+4 e^4+4 x}\right) \left(-68 x^2+16 e^4 x^2\right)+e^x \left(289+e^8 (16-16 x)-425 x+152 x^2-16 x^3+e^4 \left(-136+168 x-32 x^2\right)\right)}{289 x^2+16 e^8 x^2-136 x^3+16 x^4+e^4 \left(-136 x^2+32 x^3\right)} \, dx","Integrate[(E^(E^((4*x)/(-17 + 4*E^4 + 4*x)) + (4*x)/(-17 + 4*E^4 + 4*x))*(-68*x^2 + 16*E^4*x^2) + E^x*(289 + E^8*(16 - 16*x) - 425*x + 152*x^2 - 16*x^3 + E^4*(-136 + 168*x - 32*x^2)))/(289*x^2 + 16*E^8*x^2 - 136*x^3 + 16*x^4 + E^4*(-136*x^2 + 32*x^3)),x]","e^{e^{\frac{4 x}{4 x+4 e^4-17}}}-\frac{e^x}{x}","e^{e^{\frac{x}{x+e^4-\frac{17}{4}}}}-\frac{e^x}{x}",1,"E^E^((4*x)/(-17 + 4*E^4 + 4*x)) - E^x/x","A",1
715,1,20,20,0.3207563,"\int \frac{e^x (-72-36 x)+\left(e^x \left(-600+16 x+72 x^2\right)+e^x \left(-300+8 x+36 x^2\right) \log (25-9 x)\right) \log (2+\log (25-9 x)) \log (\log (2+\log (25-9 x)))}{(-50+18 x+(-25+9 x) \log (25-9 x)) \log (2+\log (25-9 x)) \log ^2(\log (2+\log (25-9 x)))} \, dx","Integrate[(E^x*(-72 - 36*x) + (E^x*(-600 + 16*x + 72*x^2) + E^x*(-300 + 8*x + 36*x^2)*Log[25 - 9*x])*Log[2 + Log[25 - 9*x]]*Log[Log[2 + Log[25 - 9*x]]])/((-50 + 18*x + (-25 + 9*x)*Log[25 - 9*x])*Log[2 + Log[25 - 9*x]]*Log[Log[2 + Log[25 - 9*x]]]^2),x]","\frac{4 e^x (x+2)}{\log (\log (\log (25-9 x)+2))}","\frac{4 e^x (x+2)}{\log (\log (\log (25-9 x)+2))}",1,"(4*E^x*(2 + x))/Log[Log[2 + Log[25 - 9*x]]]","A",1
716,1,36,32,1.4985223,"\int \frac{e^{\frac{40 x+9 e^x x+9 x^2-20 \log (2)}{e^x x+x^2}} \left(-40 x^2+40 x \log (2)+e^x \left(-40 x^2+(20+20 x) \log (2)\right)\right)}{e^{2 x} x^2+2 e^x x^3+x^4} \, dx","Integrate[(E^((40*x + 9*E^x*x + 9*x^2 - 20*Log[2])/(E^x*x + x^2))*(-40*x^2 + 40*x*Log[2] + E^x*(-40*x^2 + (20 + 20*x)*Log[2])))/(E^(2*x)*x^2 + 2*E^x*x^3 + x^4),x]","2^{-\frac{20}{x^2+e^x x}} e^{\frac{9 x+9 e^x+40}{x+e^x}}","\exp \left(4 \left(\frac{5 (2 x-\log (2))}{x \left(x+e^x\right)}+2\right)+1\right)+e^2",1,"E^((40 + 9*E^x + 9*x)/(E^x + x))/2^(20/(E^x*x + x^2))","A",1
717,1,28,30,0.5412751,"\int \frac{e^x (-1+2 x) \log (3)+e^x (-2+x) \log (3) \log \left(9 e^{-x}\right)+e^x (2-x) \log (3) \log (2 x)}{x^3+x^3 \log ^2\left(9 e^{-x}\right)-2 x^3 \log (2 x)+x^3 \log ^2(2 x)+\log \left(9 e^{-x}\right) \left(2 x^3-2 x^3 \log (2 x)\right)} \, dx","Integrate[(E^x*(-1 + 2*x)*Log[3] + E^x*(-2 + x)*Log[3]*Log[9/E^x] + E^x*(2 - x)*Log[3]*Log[2*x])/(x^3 + x^3*Log[9/E^x]^2 - 2*x^3*Log[2*x] + x^3*Log[2*x]^2 + Log[9/E^x]*(2*x^3 - 2*x^3*Log[2*x])),x]","-\frac{e^x \log (3)}{x^2 \left(-\log \left(9 e^{-x}\right)+\log (2 x)-1\right)}","\frac{e^x \log (3)}{x \left(x+x \log \left(9 e^{-x}\right)-x \log (2 x)\right)}",1,"-((E^x*Log[3])/(x^2*(-1 - Log[9/E^x] + Log[2*x])))","A",1
718,1,29,28,0.0248714,"\int \left(1-27 x^2+5 x^4+e^{x^2} \left(-9 x^2+4 x^3-6 x^4+2 x^5\right)\right) \, dx","Integrate[1 - 27*x^2 + 5*x^4 + E^x^2*(-9*x^2 + 4*x^3 - 6*x^4 + 2*x^5),x]","x^5-9 x^3+e^{x^2} x^4-3 e^{x^2} x^3+x","1-(3-x) \left(1-\left(-e^{x^2}-x-3\right) x^3\right)",1,"x - 9*x^3 - 3*E^x^2*x^3 + E^x^2*x^4 + x^5","A",1
719,1,22,19,0.1387209,"\int \frac{e^{e^{x+e^{-x} (1+x)} x} \left(1+x+e^{x+e^{-x} (1+x)} \left(x+2 x^2+x^3-e^{-x} x^3 (1+x)\right)\right)}{1+x} \, dx","Integrate[(E^(E^(x + (1 + x)/E^x)*x)*(1 + x + E^(x + (1 + x)/E^x)*(x + 2*x^2 + x^3 - (x^3*(1 + x))/E^x)))/(1 + x),x]","e^{e^{e^{-x} \left(e^x x+x+1\right)} x} x","e^{e^{x+e^{-x} (x+1)} x} x",1,"E^(E^((1 + x + E^x*x)/E^x)*x)*x","A",1
720,1,21,23,0.0151661,"\int \frac{-4-4 x+\left(-2 x^2+e^3 (1+x)\right) \log (400)}{-4 x+\left(e^3 x-2 x^2\right) \log (400)} \, dx","Integrate[(-4 - 4*x + (-2*x^2 + E^3*(1 + x))*Log[400])/(-4*x + (E^3*x - 2*x^2)*Log[400]),x]","x+\log (x)-\log \left(2 x \log (400)+4-e^3 \log (400)\right)","x+\log \left(\frac{x}{2 x-e^3+\frac{4}{\log (400)}}\right)-3",1,"x + Log[x] - Log[4 - E^3*Log[400] + 2*x*Log[400]]","A",1
721,1,26,22,0.2844087,"\int \frac{1+\left(x+2 e^{x^2} x^2\right) \log (x)+(5+2 x) \log (x) \log \left(4 e^{e^{x^2}+x} \log (x)\right)+\log (x) \log \left(4 e^{e^{x^2}+x} \log (x)\right) \log \left(4 \log \left(4 e^{e^{x^2}+x} \log (x)\right)\right)}{\log (x) \log \left(4 e^{e^{x^2}+x} \log (x)\right)} \, dx","Integrate[(1 + (x + 2*E^x^2*x^2)*Log[x] + (5 + 2*x)*Log[x]*Log[4*E^(E^x^2 + x)*Log[x]] + Log[x]*Log[4*E^(E^x^2 + x)*Log[x]]*Log[4*Log[4*E^(E^x^2 + x)*Log[x]]])/(Log[x]*Log[4*E^(E^x^2 + x)*Log[x]]),x]","x^2+x \log \left(4 \log \left(4 e^{e^{x^2}+x} \log (x)\right)\right)+5 x","x \left(\log \left(4 \log \left(4 e^{e^{x^2}+x} \log (x)\right)\right)+x+5\right)",1,"5*x + x^2 + x*Log[4*Log[4*E^(E^x^2 + x)*Log[x]]]","A",1
722,1,33,27,0.0805454,"\int \frac{-8-33 x+17 x^2+e^x \left(-15+5 x+5 x^2\right)+\left(28+14 x-14 x^2+e^x \left(10+5 x-5 x^2\right)\right) \log \left(-2-x+x^2\right)+\left(-10-5 x+5 x^2\right) \log ^2\left(-2-x+x^2\right)}{-10-5 x+5 x^2+\left(20+10 x-10 x^2\right) \log \left(-2-x+x^2\right)+\left(-10-5 x+5 x^2\right) \log ^2\left(-2-x+x^2\right)} \, dx","Integrate[(-8 - 33*x + 17*x^2 + E^x*(-15 + 5*x + 5*x^2) + (28 + 14*x - 14*x^2 + E^x*(10 + 5*x - 5*x^2))*Log[-2 - x + x^2] + (-10 - 5*x + 5*x^2)*Log[-2 - x + x^2]^2)/(-10 - 5*x + 5*x^2 + (20 + 10*x - 10*x^2)*Log[-2 - x + x^2] + (-10 - 5*x + 5*x^2)*Log[-2 - x + x^2]^2),x]","\frac{1}{5} \left(5 x-\frac{4 x+5 e^x-10}{\log \left(x^2-x-2\right)-1}\right)","x-\frac{\frac{4 x}{5}+e^x-2}{\log \left(x^2-x-2\right)-1}",1,"(5*x - (-10 + 5*E^x + 4*x)/(-1 + Log[-2 - x + x^2]))/5","A",1
723,1,22,22,0.2707522,"\int \frac{5+8 x-10 x^2-2 x^3-2 x \log (x)}{e^{27/2} \left(9 x+6 x^3+x^5\right)+e^{27/2} \left(-6 x-2 x^3\right) \log (x)+e^{27/2} x \log ^2(x)} \, dx","Integrate[(5 + 8*x - 10*x^2 - 2*x^3 - 2*x*Log[x])/(E^(27/2)*(9*x + 6*x^3 + x^5) + E^(27/2)*(-6*x - 2*x^3)*Log[x] + E^(27/2)*x*Log[x]^2),x]","\frac{-2 x-5}{e^{27/2} \left(-x^2+\log (x)-3\right)}","\frac{2 x+5}{e^{27/2} \left(x^2-\log (x)+3\right)}",1,"(-5 - 2*x)/(E^(27/2)*(-3 - x^2 + Log[x]))","A",1
724,1,16,16,0.0118938,"\int e^{1-x+27 x^3} \left(2 x-x^2+81 x^4\right) \, dx","Integrate[E^(1 - x + 27*x^3)*(2*x - x^2 + 81*x^4),x]","e^{27 x^3-x+1} x^2","e^{27 x^3-x+1} x^2",1,"E^(1 - x + 27*x^3)*x^2","A",1
725,1,10,14,0.0014183,"\int -\frac{80 \log (3)}{61+20 x} \, dx","Integrate[(-80*Log[3])/(61 + 20*x),x]","-4 \log (3) \log (20 x+61)","4 \log (3) \left(2-\log \left(x+\frac{61}{20}\right)\right)",1,"-4*Log[3]*Log[61 + 20*x]","A",1
726,1,16,20,0.0396703,"\int \frac{-16 x^2+16 x^3+\left(24 x^2-12 x^3\right) \log \left(\frac{25}{4 x^2-4 x^3+x^4}\right)}{-2+x} \, dx","Integrate[(-16*x^2 + 16*x^3 + (24*x^2 - 12*x^3)*Log[25/(4*x^2 - 4*x^3 + x^4)])/(-2 + x),x]","-4 x^3 \log \left(\frac{25}{(x-2)^2 x^2}\right)","4-4 x^3 \log \left(\frac{25}{(2-x)^2 x^2}\right)",1,"-4*x^3*Log[25/((-2 + x)^2*x^2)]","A",1
727,1,24,23,0.1555425,"\int \frac{-10+2 x+\left(20 x+2 x^2-x^3\right) \log (x)+\left(-15-3 x+x^2\right) \log (x) \log \left(\log ^2(x)\right)}{\left(5 x^2-x^3\right) \log (x)+\left(-5 x+x^2\right) \log (x) \log \left(\log ^2(x)\right)} \, dx","Integrate[(-10 + 2*x + (20*x + 2*x^2 - x^3)*Log[x] + (-15 - 3*x + x^2)*Log[x]*Log[Log[x]^2])/((5*x^2 - x^3)*Log[x] + (-5*x + x^2)*Log[x]*Log[Log[x]^2]),x]","x+\log \left(x-\log \left(\log ^2(x)\right)\right)-\log (5-x)+3 \log (x)","\log \left(\frac{2 e^x x^3 \left(\log \left(\log ^2(x)\right)-x\right)}{x-5}\right)",1,"x - Log[5 - x] + 3*Log[x] + Log[x - Log[Log[x]^2]]","A",1
728,1,20,16,0.0207503,"\int \frac{2^{\frac{1}{x}} \left(-120 x^2+(24+120 x) \log (2)\right)}{x^2} \, dx","Integrate[(2^x^(-1)*(-120*x^2 + (24 + 120*x)*Log[2]))/x^2,x]","-\frac{3\ 2^{\frac{1}{x}+3} (x \log (32)+\log (2))}{\log (2)}","3-2^{\frac{1}{x}+3} (15 x+3)",1,"(-3*2^(3 + x^(-1))*(Log[2] + x*Log[32]))/Log[2]","A",1
729,1,33,31,0.1062797,"\int \frac{-40000-65000 x-5000 x^2-5000 x^3-16250 x^4-12500 x^5+3750 x^7+3750 x^8+1250 x^9+e^2 \left(-1250 x^2-2500 x^3\right)+e \left(-15000 x-26250 x^2-1250 x^3-1250 x^5-1250 x^6\right)+\left(-3200-5200 x-400 x^2-400 x^3-1300 x^4-1000 x^5+300 x^7+300 x^8+100 x^9+e^2 \left(-100 x^2-200 x^3\right)+e \left(-1200 x-2100 x^2-100 x^3-100 x^5-100 x^6\right)\right) \log (4)+\left(-64-104 x-8 x^2-8 x^3-26 x^4-20 x^5+6 x^7+6 x^8+2 x^9+e^2 \left(-2 x^2-4 x^3\right)+e \left(-24 x-42 x^2-2 x^3-2 x^5-2 x^6\right)\right) \log ^2(4)+\left(15000 x+26250 x^2+1250 x^3+1250 x^5+1250 x^6+e \left(2500 x^2+5000 x^3\right)+\left(1200 x+2100 x^2+100 x^3+100 x^5+100 x^6+e \left(200 x^2+400 x^3\right)\right) \log (4)+\left(24 x+42 x^2+2 x^3+2 x^5+2 x^6+e \left(4 x^2+8 x^3\right)\right) \log ^2(4)\right) \log (x)+\left(-1250 x^2-2500 x^3+\left(-100 x^2-200 x^3\right) \log (4)+\left(-2 x^2-4 x^3\right) \log ^2(4)\right) \log ^2(x)}{x^5+3 x^6+3 x^7+x^8} \, dx","Integrate[(-40000 - 65000*x - 5000*x^2 - 5000*x^3 - 16250*x^4 - 12500*x^5 + 3750*x^7 + 3750*x^8 + 1250*x^9 + E^2*(-1250*x^2 - 2500*x^3) + E*(-15000*x - 26250*x^2 - 1250*x^3 - 1250*x^5 - 1250*x^6) + (-3200 - 5200*x - 400*x^2 - 400*x^3 - 1300*x^4 - 1000*x^5 + 300*x^7 + 300*x^8 + 100*x^9 + E^2*(-100*x^2 - 200*x^3) + E*(-1200*x - 2100*x^2 - 100*x^3 - 100*x^5 - 100*x^6))*Log[4] + (-64 - 104*x - 8*x^2 - 8*x^3 - 26*x^4 - 20*x^5 + 6*x^7 + 6*x^8 + 2*x^9 + E^2*(-2*x^2 - 4*x^3) + E*(-24*x - 42*x^2 - 2*x^3 - 2*x^5 - 2*x^6))*Log[4]^2 + (15000*x + 26250*x^2 + 1250*x^3 + 1250*x^5 + 1250*x^6 + E*(2500*x^2 + 5000*x^3) + (1200*x + 2100*x^2 + 100*x^3 + 100*x^5 + 100*x^6 + E*(200*x^2 + 400*x^3))*Log[4] + (24*x + 42*x^2 + 2*x^3 + 2*x^5 + 2*x^6 + E*(4*x^2 + 8*x^3))*Log[4]^2)*Log[x] + (-1250*x^2 - 2500*x^3 + (-100*x^2 - 200*x^3)*Log[4] + (-2*x^2 - 4*x^3)*Log[4]^2)*Log[x]^2)/(x^5 + 3*x^6 + 3*x^7 + x^8),x]","\frac{(25+\log (4))^2 \left(x^4+x^3+e x-x \log (x)+4\right)^2}{x^4 (x+1)^2}","(25+\log (4))^2 \left(x-\frac{-\frac{4}{x}+\log (x)-e}{x^2+x}\right)^2",1,"((25 + Log[4])^2*(4 + E*x + x^3 + x^4 - x*Log[x])^2)/(x^4*(1 + x)^2)","A",1
730,1,30,27,0.9690243,"\int \frac{e^{5+x} \left(-80 x+\left(-960 x+384 x^2+48 x^3\right) \log (2)\right)+e^{5+x} \left(1280-1200 x-80 x^2+\left(-1024+1984 x-1152 x^2+176 x^3+16 x^4\right) \log (2)\right) \log \left(-80-5 x+\left(64-60 x+12 x^2+x^3\right) \log (2)\right)}{-80 x^2-5 x^3+\left(64 x^2-60 x^3+12 x^4+x^5\right) \log (2)} \, dx","Integrate[(E^(5 + x)*(-80*x + (-960*x + 384*x^2 + 48*x^3)*Log[2]) + E^(5 + x)*(1280 - 1200*x - 80*x^2 + (-1024 + 1984*x - 1152*x^2 + 176*x^3 + 16*x^4)*Log[2])*Log[-80 - 5*x + (64 - 60*x + 12*x^2 + x^3)*Log[2]])/(-80*x^2 - 5*x^3 + (64*x^2 - 60*x^3 + 12*x^4 + x^5)*Log[2]),x]","\frac{16 e^{x+5} \log \left((x+16) \left(x^2 \log (2)-4 x \log (2)-5+\log (16)\right)\right)}{x}","\frac{16 e^{x+5} \log \left((x+16) \left((2-x)^2 \log (2)-5\right)\right)}{x}",1,"(16*E^(5 + x)*Log[(16 + x)*(-5 - 4*x*Log[2] + x^2*Log[2] + Log[16])])/x","A",1
731,1,28,30,0.0154749,"\int \frac{-4065+100 x-134 x^2+4 x^3-x^4}{-17875+5165 x-742 x^2+146 x^3-7 x^4+x^5} \, dx","Integrate[(-4065 + 100*x - 134*x^2 + 4*x^3 - x^4)/(-17875 + 5165*x - 742*x^2 + 146*x^3 - 7*x^4 + x^5),x]","\log \left(x^2-2 x+65\right)-\log \left(-x^3+5 x^2-71 x+275\right)","\log \left(\frac{2}{5 \left(-x+\frac{4}{4-\frac{1}{20} (5-x) (x+3)}+3\right)}\right)",1,"Log[65 - 2*x + x^2] - Log[275 - 71*x + 5*x^2 - x^3]","A",1
732,1,23,34,0.0070708,"\int \frac{\left(200-75 x+3 x^3\right) \log ^2(5)}{64 x^3-32 x^4+4 x^5} \, dx","Integrate[((200 - 75*x + 3*x^3)*Log[5]^2)/(64*x^3 - 32*x^4 + 4*x^5),x]","\frac{\left(25-3 x^2\right) \log ^2(5)}{4 (x-4) x^2}","\frac{5 \left(\frac{1}{5} (1-x) x+\frac{5}{x}\right) \log ^2(5)}{4 (x-4) x}+3",1,"((25 - 3*x^2)*Log[5]^2)/(4*(-4 + x)*x^2)","A",1
733,1,11,21,0.0020731,"\int \frac{-2 e^3+x}{x^2} \, dx","Integrate[(-2*E^3 + x)/x^2,x]","\frac{2 e^3}{x}+\log (x)","\frac{2 e^3}{x}-\log \left(-\frac{2}{x \log (2)}\right)",1,"(2*E^3)/x + Log[x]","A",1
734,1,27,33,0.2496559,"\int \frac{896 x+2 e^{2 x} x+68 x^2-324 x^3+5 x^4+50 x^5+e^x \left(-88 x+7 x^2+23 x^3\right)}{768+3 e^{2 x}-96 x-477 x^2+30 x^3+75 x^4+e^x \left(-96+6 x+30 x^2\right)} \, dx","Integrate[(896*x + 2*E^(2*x)*x + 68*x^2 - 324*x^3 + 5*x^4 + 50*x^5 + E^x*(-88*x + 7*x^2 + 23*x^3))/(768 + 3*E^(2*x) - 96*x - 477*x^2 + 30*x^3 + 75*x^4 + E^x*(-96 + 6*x + 30*x^2)),x]","\frac{1}{3} x^2 \left(1-\frac{3 (x+4)}{5 x^2+x+e^x-16}\right)","\frac{1}{3} \left(\frac{3 (x+4) x^2}{-5 x^2-x-e^x+16}+x^2\right)",1,"(x^2*(1 - (3*(4 + x))/(-16 + E^x + x + 5*x^2)))/3","A",1
735,1,24,24,0.1187919,"\int \frac{-522-261 e^{15+x}+18 e^{15+x} x \log \left(2+e^{15+x}\right)+\left(-18-9 e^{15+x}\right) \log ^2\left(2+e^{15+x}\right)}{16 x^2+8 e^{15+x} x^2} \, dx","Integrate[(-522 - 261*E^(15 + x) + 18*E^(15 + x)*x*Log[2 + E^(15 + x)] + (-18 - 9*E^(15 + x))*Log[2 + E^(15 + x)]^2)/(16*x^2 + 8*E^(15 + x)*x^2),x]","\frac{9}{8} \left(\frac{29}{x}+\frac{\log ^2\left(e^{x+15}+2\right)}{x}\right)","\frac{18 \left(\frac{1}{16} \left(x+\log ^2\left(e^{x+15}+2\right)-3\right)+2\right)}{x}",1,"(9*(29/x + Log[2 + E^(15 + x)]^2/x))/8","A",1
736,0,0,27,2.0370024,"\int \frac{-6 x-3 x^2+e^{5-e^{\frac{1}{6} \left(18-\log \left(4 x+2 x^2\right)\right)}-x} \left(-6 x-3 x^2+e^{\frac{1}{6} \left(18-\log \left(4 x+2 x^2\right)\right)} (1+x)\right)}{6 x+3 x^2} \, dx","Integrate[(-6*x - 3*x^2 + E^(5 - E^((18 - Log[4*x + 2*x^2])/6) - x)*(-6*x - 3*x^2 + E^((18 - Log[4*x + 2*x^2])/6)*(1 + x)))/(6*x + 3*x^2),x]","\int \frac{-6 x-3 x^2+e^{5-e^{\frac{1}{6} \left(18-\log \left(4 x+2 x^2\right)\right)}-x} \left(-6 x-3 x^2+e^{\frac{1}{6} \left(18-\log \left(4 x+2 x^2\right)\right)} (1+x)\right)}{6 x+3 x^2} \, dx","e^{-x-\frac{e^3}{\sqrt[6]{x (2 x+4)}}+5}-x",1,"Integrate[(-6*x - 3*x^2 + E^(5 - E^((18 - Log[4*x + 2*x^2])/6) - x)*(-6*x - 3*x^2 + E^((18 - Log[4*x + 2*x^2])/6)*(1 + x)))/(6*x + 3*x^2), x]","F",-1
737,1,33,35,0.4116681,"\int \frac{-x^2+x^3+x^4+9 x^6+e^{2 x} \left(2-3 x-9 x^3\right)+\left(-x^3-9 x^5\right) \log (x)}{e^{2 x} x-x^4+x^3 \log (x)} \, dx","Integrate[(-x^2 + x^3 + x^4 + 9*x^6 + E^(2*x)*(2 - 3*x - 9*x^3) + (-x^3 - 9*x^5)*Log[x])/(E^(2*x)*x - x^4 + x^3*Log[x]),x]","-3 x^3-\log \left(-x^3+x^2 \log (x)+e^{2 x}\right)-x+2 \log (x)","\frac{3 \left(x-x^4\right)}{x}-\log \left(\frac{e^{2 x}}{x^2}-x+\log (x)\right)-x-4",1,"-x - 3*x^3 + 2*Log[x] - Log[E^(2*x) - x^3 + x^2*Log[x]]","A",1
738,1,25,25,0.9715567,"\int \frac{256 x-4 e^{4+4 x} x+\left(e^{4+4 x} (1-x)-256 x+256 x^2\right) \log \left(\frac{1}{256} \left(e^{4+4 x}-256 x\right)\right)}{\left(e^{4+5 x}-256 e^x x\right) \log ^2\left(\frac{1}{256} \left(e^{4+4 x}-256 x\right)\right)} \, dx","Integrate[(256*x - 4*E^(4 + 4*x)*x + (E^(4 + 4*x)*(1 - x) - 256*x + 256*x^2)*Log[(E^(4 + 4*x) - 256*x)/256])/((E^(4 + 5*x) - 256*E^x*x)*Log[(E^(4 + 4*x) - 256*x)/256]^2),x]","\frac{e^{-x} x}{\log \left(\frac{1}{256} e^{4 x+4}-x\right)}","\frac{e^{-x} x}{\log \left(\frac{1}{256} e^{4 x+4}-x\right)}",1,"x/(E^x*Log[E^(4 + 4*x)/256 - x])","A",1
739,1,17,17,0.2132369,"\int \frac{3+2 x^3+\left(-3+x^3\right) \log \left(\frac{3-x^3}{x}\right)+\left(-3+x^3\right) \log \left(\frac{3-x^3}{x}\right) \log \left(\log \left(\frac{3-x^3}{x}\right)\right)}{\left(-3+x^3\right) \log \left(\frac{3-x^3}{x}\right)} \, dx","Integrate[(3 + 2*x^3 + (-3 + x^3)*Log[(3 - x^3)/x] + (-3 + x^3)*Log[(3 - x^3)/x]*Log[Log[(3 - x^3)/x]])/((-3 + x^3)*Log[(3 - x^3)/x]),x]","x \log \left(\log \left(\frac{3-x^3}{x}\right)\right)+x","x \log \left(\log \left(\frac{3}{x}-x^2\right)\right)+x",1,"x + x*Log[Log[(3 - x^3)/x]]","A",1
740,1,5,17,0.0000592,"\int -\log (5) \, dx","Integrate[-Log[5],x]","-x \log (5)","x (-\log (5))+5-\frac{4}{5 \log (5 e)}",1,"-(x*Log[5])","A",1
741,1,25,24,0.0458403,"\int \left(-5+5 e^{-2+x}+e^{-59-16 x-x^2} (-960-120 x)\right) \, dx","Integrate[-5 + 5*E^(-2 + x) + E^(-59 - 16*x - x^2)*(-960 - 120*x),x]","5 \left(12 e^{-x^2-16 x-59}-x+e^{x-2}\right)","5 \left(-x+e^{x-2}+12 e^{5-(x+8)^2}\right)",1,"5*(E^(-2 + x) + 12*E^(-59 - 16*x - x^2) - x)","A",1
742,1,20,25,0.083684,"\int \frac{2 x+4 x^2-x \log (6)+\left(4 x+4 x^2-2 x \log (6)\right) \log (x)}{80+320 x+320 x^2+(-80-160 x) \log (6)+20 \log ^2(6)} \, dx","Integrate[(2*x + 4*x^2 - x*Log[6] + (4*x + 4*x^2 - 2*x*Log[6])*Log[x])/(80 + 320*x + 320*x^2 + (-80 - 160*x)*Log[6] + 20*Log[6]^2),x]","\frac{x^2 \log (x)}{20 (4 x+2-\log (6))}","\frac{x \log (x)}{5 \left(\frac{4 (3 x+2-\log (6))}{x}+4\right)}",1,"(x^2*Log[x])/(20*(2 + 4*x - Log[6]))","A",1
743,1,18,18,0.334801,"\int \frac{e^{-\frac{x}{\log (2 x)}} \left(e^{-4+x} x^2-e^{-4+x} x^2 \log (2 x)+e^{-4+x} \left(2 x+x^2\right) \log ^2(2 x)\right)}{\log ^2(2 x)} \, dx","Integrate[(E^(-4 + x)*x^2 - E^(-4 + x)*x^2*Log[2*x] + E^(-4 + x)*(2*x + x^2)*Log[2*x]^2)/(E^(x/Log[2*x])*Log[2*x]^2),x]","x^2 e^{x-\frac{x}{\log (2 x)}-4}","x^2 e^{x-\frac{x}{\log (2 x)}-4}",1,"E^(-4 + x - x/Log[2*x])*x^2","A",1
744,1,11,26,0.0076912,"\int \frac{-6+2 \log (\log (x))}{x \log (x)} \, dx","Integrate[(-6 + 2*Log[Log[x]])/(x*Log[x]),x]","\log ^2(\log (x))-6 \log (\log (x))","\left(-\frac{2 x-x^2}{x}-x+\log (\log (x))-1\right)^2-5",1,"-6*Log[Log[x]] + Log[Log[x]]^2","A",1
745,1,18,23,0.1236036,"\int \frac{25+150 x+50 x^2+e^5 \left(-25 x-25 x^2\right)+25 x \log (x)}{4 x+2 x^2-e^5 x^2+x \log (x)} \, dx","Integrate[(25 + 150*x + 50*x^2 + E^5*(-25*x - 25*x^2) + 25*x*Log[x])/(4*x + 2*x^2 - E^5*x^2 + x*Log[x]),x]","25 \left(x+\log \left(-e^5 x+2 x+\log (x)+4\right)\right)","25 \left(x+\log \left(x+\frac{x+\log (x)+4}{1-e^5}\right)+4\right)",1,"25*(x + Log[4 + 2*x - E^5*x + Log[x]])","A",1
746,1,25,25,0.2458054,"\int \frac{8 x+40 e^{2 x^2} x+\left(8 x+e^{2 x^2} \left(40 x-80 x^3\right)\right) \log (x) \log \left(\log ^2(x)\right)}{\left(3+30 e^{2 x^2}+75 e^{4 x^2}\right) \log (x)} \, dx","Integrate[(8*x + 40*E^(2*x^2)*x + (8*x + E^(2*x^2)*(40*x - 80*x^3))*Log[x]*Log[Log[x]^2])/((3 + 30*E^(2*x^2) + 75*E^(4*x^2))*Log[x]),x]","\frac{4 x^2 \log \left(\log ^2(x)\right)}{3 \left(5 e^{2 x^2}+1\right)}","\frac{4 x^2 \log \left(\log ^2(x)\right)}{3 \left(5 e^{2 x^2}+1\right)}",1,"(4*x^2*Log[Log[x]^2])/(3*(1 + 5*E^(2*x^2)))","A",1
747,1,33,34,0.3524536,"\int \frac{\exp \left(9+9 e^{8 x}-18 x-9 x^2+18 x^3+9 x^4+e^{4 x} \left(18-18 x-18 x^2\right)\right) \left(55+e^{8 x} \left(-216+72 e^x-72 x\right)+72 x-144 x^2-162 x^3-36 x^4+e^x \left(-19-18 x+54 x^2+36 x^3\right)+e^{4 x} \left(-162+270 x+324 x^2+72 x^3+e^x \left(54-108 x-72 x^2\right)\right)\right)+\exp \left(9+9 e^{8 x}-18 x-9 x^2+18 x^3+9 x^4+e^{4 x} \left(18-18 x-18 x^2\right)\right) \left(54+e^{8 x} \left(-216+72 e^x-72 x\right)+72 x-144 x^2-162 x^3-36 x^4+e^x \left(-18-18 x+54 x^2+36 x^3\right)+e^{4 x} \left(-162+270 x+324 x^2+72 x^3+e^x \left(54-108 x-72 x^2\right)\right)\right) \log \left(3-e^x+x\right)}{-3+e^x-x+\left(-6+2 e^x-2 x\right) \log \left(3-e^x+x\right)+\left(-3+e^x-x\right) \log ^2\left(3-e^x+x\right)} \, dx","Integrate[(E^(9 + 9*E^(8*x) - 18*x - 9*x^2 + 18*x^3 + 9*x^4 + E^(4*x)*(18 - 18*x - 18*x^2))*(55 + E^(8*x)*(-216 + 72*E^x - 72*x) + 72*x - 144*x^2 - 162*x^3 - 36*x^4 + E^x*(-19 - 18*x + 54*x^2 + 36*x^3) + E^(4*x)*(-162 + 270*x + 324*x^2 + 72*x^3 + E^x*(54 - 108*x - 72*x^2))) + E^(9 + 9*E^(8*x) - 18*x - 9*x^2 + 18*x^3 + 9*x^4 + E^(4*x)*(18 - 18*x - 18*x^2))*(54 + E^(8*x)*(-216 + 72*E^x - 72*x) + 72*x - 144*x^2 - 162*x^3 - 36*x^4 + E^x*(-18 - 18*x + 54*x^2 + 36*x^3) + E^(4*x)*(-162 + 270*x + 324*x^2 + 72*x^3 + E^x*(54 - 108*x - 72*x^2)))*Log[3 - E^x + x])/(-3 + E^x - x + (-6 + 2*E^x - 2*x)*Log[3 - E^x + x] + (-3 + E^x - x)*Log[3 - E^x + x]^2),x]","\frac{e^{9 \left(x^2+x-e^{4 x}-1\right)^2}}{\log \left(x-e^x+3\right)+1}","\frac{e^{\left(3-3 \left(x^2+x-e^{4 x}\right)\right)^2}}{\log \left(x-e^x+3\right)+1}",1,"E^(9*(-1 - E^(4*x) + x + x^2)^2)/(1 + Log[3 - E^x + x])","A",1
748,1,38,25,0.1109593,"\int \frac{5 x^3+10 e^{2 x} x^3+e^{x^2} \left(8+2 x-8 x^2-2 x^3+e^{2 x} \left(2-2 x^2\right)\right)}{e^{x^2} \left(-4 x-e^{2 x} x-x^2\right)+\left(20 x^3+5 e^{2 x} x^3+5 x^4\right) \log \left(4+e^{2 x}+x\right)} \, dx","Integrate[(5*x^3 + 10*E^(2*x)*x^3 + E^x^2*(8 + 2*x - 8*x^2 - 2*x^3 + E^(2*x)*(2 - 2*x^2)))/(E^x^2*(-4*x - E^(2*x)*x - x^2) + (20*x^3 + 5*E^(2*x)*x^3 + 5*x^4)*Log[4 + E^(2*x) + x]),x]","\log \left(e^{x^2+2 x}-5 e^{2 x} x^2 \log \left(x+e^{2 x}+4\right)\right)-2 x-2 \log (x)","\log \left(\frac{e^{x^2}}{5 x^2}-\log \left(x+e^{2 x}+4\right)\right)",1,"-2*x - 2*Log[x] + Log[E^(2*x + x^2) - 5*E^(2*x)*x^2*Log[4 + E^(2*x) + x]]","A",1
749,1,17,24,0.0023549,"\int \frac{-3-3 x+2 x^2 \log (x)}{x^3} \, dx","Integrate[(-3 - 3*x + 2*x^2*Log[x])/x^3,x]","\frac{3}{2 x^2}+\frac{3}{x}+\log ^2(x)","\frac{-x^2+\frac{3}{2 x}+3}{x}+x+\log ^2(x)",1,"3/(2*x^2) + 3/x + Log[x]^2","A",1
750,1,19,24,0.0612561,"\int \frac{25}{18} x^{2 x} \left(5+10 x-\frac{9 x^{-2 x}}{5}+10 x \log (x)\right) \, dx","Integrate[(25*x^(2*x)*(5 + 10*x - 9/(5*x^(2*x)) + 10*x*Log[x]))/18,x]","\frac{25}{18} \left(5 x^{2 x+1}-\frac{9 x}{5}\right)","\frac{5 \left(\frac{25}{9} x^{2 x+2}-x^2\right)}{2 x}",1,"(25*((-9*x)/5 + 5*x^(1 + 2*x)))/18","A",1
751,1,50,29,0.0690955,"\int \frac{e^2 (-9600-7680 x)+7680 e x+1920 e^3 x+128 e^{2 x/3} x^3+e^{x/3} \left(512 x^3+128 e^2 x^3+e \left(1920 x-640 x^2-512 x^3\right)\right)}{3 x^3} \, dx","Integrate[(E^2*(-9600 - 7680*x) + 7680*E*x + 1920*E^3*x + 128*E^((2*x)/3)*x^3 + E^(x/3)*(512*x^3 + 128*E^2*x^3 + E*(1920*x - 640*x^2 - 512*x^3)))/(3*x^3),x]","64 \left(\frac{25 e^2}{x^2}+2 e^{x/3} \left((e-2)^2-\frac{5 e}{x}\right)+e^{2 x/3}-\frac{10 (e-2)^2 e}{x}\right)","64 \left(-e^{x/3}+\frac{5 e}{x}-(e-2)^2\right)^2+5",1,"64*(E^((2*x)/3) + 2*E^(x/3)*((-2 + E)^2 - (5*E)/x) + (25*E^2)/x^2 - (10*(-2 + E)^2*E)/x)","A",1
752,1,23,29,0.0095795,"\int \frac{1}{4} \left(1+32 x^3-64 e^2 x^3+32 e^4 x^3+\left(-64 e^2 x^3+64 e^4 x^3\right) \log (3)+32 e^4 x^3 \log ^2(3)\right) \, dx","Integrate[(1 + 32*x^3 - 64*E^2*x^3 + 32*E^4*x^3 + (-64*E^2*x^3 + 64*E^4*x^3)*Log[3] + 32*E^4*x^3*Log[3]^2)/4,x]","2 x^4 \left(e^2 (1+\log (3))-1\right)^2+\frac{x}{4}","2 \left(x^2 \left(x-e^2 x (1+\log (3))\right)^2+5\right)+\frac{x}{4}+4",1,"x/4 + 2*x^4*(-1 + E^2*(1 + Log[3]))^2","A",1
753,1,115,31,0.2820445,"\int \frac{156621970562+2 e^{8+16 x}+e^{7+14 x} (-368-16 x)+53292920040 x+7984703253 x^2+687869280 x^3+37265659 x^4+1300140 x^5+28529 x^6+360 x^7+2 x^8+e^{6+12 x} \left(29624+2568 x+56 x^2\right)+e^{5+10 x} \left(-1362704-176640 x-7680 x^2-112 x^3\right)+e^{4+8 x} \left(39177740+6750040 x+438853 x^2+12752 x^3+140 x^4\right)+e^{3+6 x} \left(-720870416-154764240 x-13374316 x^2-580936 x^3-12696 x^4-112 x^5\right)+e^{2+4 x} \left(8290009784+2129030328 x+229267542 x^2+13236768 x^3+432290 x^4+7584 x^5+56 x^6\right)+e^{1+2 x} \left(-54477207152-16271075104 x-2096082092 x^2-150849272 x^3-6550112 x^4-171720 x^5-2520 x^6-16 x^7\right)}{313243941124+4 e^{8+16 x}+e^{7+14 x} (-736-32 x)+106585840080 x+15967727460 x^2+1375548120 x^3+74525153 x^4+2600280 x^5+57060 x^6+720 x^7+4 x^8+e^{6+12 x} \left(59248+5136 x+112 x^2\right)+e^{5+10 x} \left(-2725408-353280 x-15360 x^2-224 x^3\right)+e^{4+8 x} \left(78355480+13500080 x+877700 x^2+25520 x^3+280 x^4\right)+e^{3+6 x} \left(-1441740832-309528480 x-26748080 x^2-1162960 x^3-25440 x^4-224 x^5\right)+e^{2+4 x} \left(16580019568+4258060656 x+458516040 x^2+26497832 x^3+866760 x^4+15216 x^5+112 x^6\right)+e^{1+2 x} \left(-108954414304-32542150208 x-4191872176 x^2-301868192 x^3-13124704 x^4-344528 x^5-5056 x^6-32 x^7\right)} \, dx","Integrate[(156621970562 + 2*E^(8 + 16*x) + E^(7 + 14*x)*(-368 - 16*x) + 53292920040*x + 7984703253*x^2 + 687869280*x^3 + 37265659*x^4 + 1300140*x^5 + 28529*x^6 + 360*x^7 + 2*x^8 + E^(6 + 12*x)*(29624 + 2568*x + 56*x^2) + E^(5 + 10*x)*(-1362704 - 176640*x - 7680*x^2 - 112*x^3) + E^(4 + 8*x)*(39177740 + 6750040*x + 438853*x^2 + 12752*x^3 + 140*x^4) + E^(3 + 6*x)*(-720870416 - 154764240*x - 13374316*x^2 - 580936*x^3 - 12696*x^4 - 112*x^5) + E^(2 + 4*x)*(8290009784 + 2129030328*x + 229267542*x^2 + 13236768*x^3 + 432290*x^4 + 7584*x^5 + 56*x^6) + E^(1 + 2*x)*(-54477207152 - 16271075104*x - 2096082092*x^2 - 150849272*x^3 - 6550112*x^4 - 171720*x^5 - 2520*x^6 - 16*x^7))/(313243941124 + 4*E^(8 + 16*x) + E^(7 + 14*x)*(-736 - 32*x) + 106585840080*x + 15967727460*x^2 + 1375548120*x^3 + 74525153*x^4 + 2600280*x^5 + 57060*x^6 + 720*x^7 + 4*x^8 + E^(6 + 12*x)*(59248 + 5136*x + 112*x^2) + E^(5 + 10*x)*(-2725408 - 353280*x - 15360*x^2 - 224*x^3) + E^(4 + 8*x)*(78355480 + 13500080*x + 877700*x^2 + 25520*x^3 + 280*x^4) + E^(3 + 6*x)*(-1441740832 - 309528480*x - 26748080*x^2 - 1162960*x^3 - 25440*x^4 - 224*x^5) + E^(2 + 4*x)*(16580019568 + 4258060656*x + 458516040*x^2 + 26497832*x^3 + 866760*x^4 + 15216*x^5 + 112*x^6) + E^(1 + 2*x)*(-108954414304 - 32542150208*x - 4191872176*x^2 - 301868192*x^3 - 13124704*x^4 - 344528*x^5 - 5056*x^6 - 32*x^7)),x]","\frac{x \left(x^2+45 x+e^{4 x+2}-2 e^{2 x+1} (x+23)+529\right)^2}{2 x^4+180 x^3+6165 x^2+4 e^{4 x+2} \left(3 x^2+137 x+1587\right)-8 e^{2 x+1} \left(x^3+68 x^2+1564 x+12167\right)+95220 x+2 e^{8 x+4}-8 e^{6 x+3} (x+23)+559682}","\frac{x}{2-\frac{x^2}{\left(x-\left(-x+e^{2 x+1}-23\right)^2\right)^2}}",1,"(x*(529 + E^(2 + 4*x) + 45*x + x^2 - 2*E^(1 + 2*x)*(23 + x))^2)/(559682 + 2*E^(4 + 8*x) + 95220*x + 6165*x^2 + 180*x^3 + 2*x^4 - 8*E^(3 + 6*x)*(23 + x) + 4*E^(2 + 4*x)*(1587 + 137*x + 3*x^2) - 8*E^(1 + 2*x)*(12167 + 1564*x + 68*x^2 + x^3))","B",1
754,1,41,33,0.0809202,"\int \frac{-5 e^4+5 x^2-5 x^3-5 x^4+\left(10 e^4-5 x^3-10 x^4\right) \log (x) \log (\log (x))+\left(e^4 (18-3 x)-8 x^3-18 x^4+x^5\right) \log (x) \log ^2(\log (x))}{25 x^3 \log (x)+\left(90 x^3-10 x^4\right) \log (x) \log (\log (x))+\left(81 x^3-18 x^4+x^5\right) \log (x) \log ^2(\log (x))} \, dx","Integrate[(-5*E^4 + 5*x^2 - 5*x^3 - 5*x^4 + (10*E^4 - 5*x^3 - 10*x^4)*Log[x]*Log[Log[x]] + (E^4*(18 - 3*x) - 8*x^3 - 18*x^4 + x^5)*Log[x]*Log[Log[x]]^2)/(25*x^3*Log[x] + (90*x^3 - 10*x^4)*Log[x]*Log[Log[x]] + (81*x^3 - 18*x^4 + x^5)*Log[x]*Log[Log[x]]^2),x]","\frac{50 x^2+\left(\left(x^2-9 x+89\right) x^2+e^4\right) \log (\log (x))}{x^2 ((x-9) \log (\log (x))-5)}","\frac{-x^2-\frac{e^4}{x^2}-x+1}{-x+\frac{5}{\log (\log (x))}+9}",1,"(50*x^2 + (E^4 + x^2*(89 - 9*x + x^2))*Log[Log[x]])/(x^2*(-5 + (-9 + x)*Log[Log[x]]))","A",1
755,1,30,25,0.1396986,"\int \frac{125+20 x-5 x^2+\left(-125-5 x^2\right) \log \left(e^6 x\right)+\left(150+6 x^2\right) \log ^2\left(e^6 x\right)}{25 x^2-60 x^2 \log \left(e^6 x\right)+36 x^2 \log ^2\left(e^6 x\right)} \, dx","Integrate[(125 + 20*x - 5*x^2 + (-125 - 5*x^2)*Log[E^6*x] + (150 + 6*x^2)*Log[E^6*x]^2)/(25*x^2 - 60*x^2*Log[E^6*x] + 36*x^2*Log[E^6*x]^2),x]","\frac{x^2+\frac{5 \left(x^2-4 x-25\right)}{6 \log (x)+31}-25}{6 x}","\frac{-x+\frac{25}{x}+4}{\frac{5}{\log \left(e^6 x\right)}-6}",1,"(-25 + x^2 + (5*(-25 - 4*x + x^2))/(31 + 6*Log[x]))/(6*x)","A",1
756,1,32,25,0.0848946,"\int \frac{e^{1+8 x+x^2+x \log \left(\frac{7-3 e^4+6 x}{3 x}\right)} \left(-49-62 x-12 x^2+e^4 (21+6 x)+\left(-7+3 e^4-6 x\right) \log \left(\frac{7-3 e^4+6 x}{3 x}\right)\right)}{-7+3 e^4-6 x} \, dx","Integrate[(E^(1 + 8*x + x^2 + x*Log[(7 - 3*E^4 + 6*x)/(3*x)])*(-49 - 62*x - 12*x^2 + E^4*(21 + 6*x) + (-7 + 3*E^4 - 6*x)*Log[(7 - 3*E^4 + 6*x)/(3*x)]))/(-7 + 3*E^4 - 6*x),x]","3^{-x} e^{x^2+8 x+1} \left(\frac{6 x-3 e^4+7}{x}\right)^x","e^{x \left(x+\log \left(\frac{\frac{7}{3}-e^4}{x}+2\right)+8\right)+1}",1,"(E^(1 + 8*x + x^2)*((7 - 3*E^4 + 6*x)/x)^x)/3^x","A",1
757,1,16,31,0.002343,"\int \frac{1}{5} (5+(51-10 x) \log (4)) \, dx","Integrate[(5 + (51 - 10*x)*Log[4])/5,x]","x^2 (-\log (4))+x+\frac{51}{5} x \log (4)","x+\left(-(5-x)^2+\frac{x}{5}+\left(2+e^3\right)^2\right) \log (4)-\log (3)",1,"x + (51*x*Log[4])/5 - x^2*Log[4]","A",1
758,1,39,31,0.0451812,"\int \frac{-8 e^3 x-32 x^3+8 e^3 x \log \left(-x^2\right)+\left(-e^6+48 x^2-16 x^4+e^3 \left(-12-8 x^2\right)\right) \log ^2\left(-x^2\right)}{\left(e^6+8 e^3 x^2+16 x^4\right) \log ^2\left(-x^2\right)} \, dx","Integrate[(-8*E^3*x - 32*x^3 + 8*E^3*x*Log[-x^2] + (-E^6 + 48*x^2 - 16*x^4 + E^3*(-12 - 8*x^2))*Log[-x^2]^2)/((E^6 + 8*E^3*x^2 + 16*x^4)*Log[-x^2]^2),x]","x \left(-\frac{12}{4 x^2+e^3}+\frac{4 x}{\left(4 x^2+e^3\right) \log \left(-x^2\right)}-1\right)","\frac{\frac{x}{\log \left(-x^2\right)}-3}{x+\frac{e^3}{4 x}}-x",1,"x*(-1 - 12/(E^3 + 4*x^2) + (4*x)/((E^3 + 4*x^2)*Log[-x^2]))","A",1
759,1,20,19,0.284746,"\int \frac{1+100 \log (x)+5 \log ^2(x)-\log (x) \log (\log (x))}{\left(-105 x+5 x^2\right) \log (x)-5 x \log ^2(x)+x \log (x) \log (\log (x))} \, dx","Integrate[(1 + 100*Log[x] + 5*Log[x]^2 - Log[x]*Log[Log[x]])/((-105*x + 5*x^2)*Log[x] - 5*x*Log[x]^2 + x*Log[x]*Log[Log[x]]),x]","\log (-5 x+5 \log (x)-\log (\log (x))+105)-\log (x)","\log \left(\frac{x-\log (x)+\frac{1}{5} \log (\log (x))-21}{x}\right)",1,"-Log[x] + Log[105 - 5*x + 5*Log[x] - Log[Log[x]]]","A",1
760,1,38,30,0.4109027,"\int \frac{5-5 x+e^{\frac{-x^3+\log (50 x)}{x}} \left(-x^2+\left(1-x-2 x^3+2 x^4\right) \log (1-x)+(-1+x) \log (1-x) \log (50 x)\right)}{-25+25 x+e^{\frac{-x^3+\log (50 x)}{x}} \left(10 x-10 x^2\right) \log (1-x)+e^{\frac{2 \left(-x^3+\log (50 x)\right)}{x}} \left(-x^2+x^3\right) \log ^2(1-x)} \, dx","Integrate[(5 - 5*x + E^((-x^3 + Log[50*x])/x)*(-x^2 + (1 - x - 2*x^3 + 2*x^4)*Log[1 - x] + (-1 + x)*Log[1 - x]*Log[50*x]))/(-25 + 25*x + E^((-x^3 + Log[50*x])/x)*(10*x - 10*x^2)*Log[1 - x] + E^((2*(-x^3 + Log[50*x]))/x)*(-x^2 + x^3)*Log[1 - x]^2),x]","-\frac{e^{x^2} x}{5 e^{x^2}-50^{\frac{1}{x}} x^{\frac{1}{x}+1} \log (1-x)}","\frac{x}{x e^{\frac{\log (50 x)}{x}-x^2} \log (1-x)-5}",1,"-((E^x^2*x)/(5*E^x^2 - 50^x^(-1)*x^(1 + x^(-1))*Log[1 - x]))","A",1
761,1,15,15,0.0076785,"\int \frac{\log ^{\frac{5}{x}}(5) (-2 x-5 \log (\log (5)))}{30 x^4} \, dx","Integrate[(Log[5]^(5/x)*(-2*x - 5*Log[Log[5]]))/(30*x^4),x]","\frac{\log ^{\frac{5}{x}}(5)}{30 x^2}","\frac{\log ^{\frac{5}{x}}(5)}{30 x^2}",1,"Log[5]^(5/x)/(30*x^2)","A",1
762,1,45,29,0.0720707,"\int \frac{-8 x-2 x \log (4)+2 \log \left(\frac{3}{x}\right)+(4 x+x \log (4)) \log ^2\left(\frac{3}{x}\right)+\left(-2+\log ^2\left(\frac{3}{x}\right)\right) \log \left(\frac{1}{6} e^{-4 x-x \log (4)} \left(-2+\log ^2\left(\frac{3}{x}\right)\right)\right)}{\left(-2 x+x \log ^2\left(\frac{3}{x}\right)\right) \log \left(\frac{1}{6} e^{-4 x-x \log (4)} \left(-2+\log ^2\left(\frac{3}{x}\right)\right)\right)} \, dx","Integrate[(-8*x - 2*x*Log[4] + 2*Log[3/x] + (4*x + x*Log[4])*Log[3/x]^2 + (-2 + Log[3/x]^2)*Log[(E^(-4*x - x*Log[4])*(-2 + Log[3/x]^2))/6])/((-2*x + x*Log[3/x]^2)*Log[(E^(-4*x - x*Log[4])*(-2 + Log[3/x]^2))/6]),x]","\log (x)-\log \left(-4 x+\log \left(\frac{1}{6} e^{-x (4+\log (4))} \left(\log ^2\left(\frac{3}{x}\right)-2\right)\right)+x (4+\log (4))-x \log (4)\right)","\log \left(\frac{x}{\log \left(\frac{1}{6} e^{-x (4+\log (4))} \left(\log ^2\left(\frac{3}{x}\right)-2\right)\right)}\right)",1,"Log[x] - Log[-4*x - x*Log[4] + x*(4 + Log[4]) + Log[(-2 + Log[3/x]^2)/(6*E^(x*(4 + Log[4])))]]","A",1
763,1,23,24,1.6813032,"\int \frac{-2 x^2+\left(-2-4 x+e^x \left(-1-x+2 x^2\right)\right) \log (-3-6 x)}{\left(4-24 x+128 x^3+e^{2 x} (1+2 x)+e^x \left(4-8 x-32 x^2\right)\right) \log (-3-6 x)+\left(-4 x+8 x^2+32 x^3+e^x \left(-2 x-4 x^2\right)\right) \log (-3-6 x) \log (\log (-3-6 x))+\left(x^2+2 x^3\right) \log (-3-6 x) \log ^2(\log (-3-6 x))} \, dx","Integrate[(-2*x^2 + (-2 - 4*x + E^x*(-1 - x + 2*x^2))*Log[-3 - 6*x])/((4 - 24*x + 128*x^3 + E^(2*x)*(1 + 2*x) + E^x*(4 - 8*x - 32*x^2))*Log[-3 - 6*x] + (-4*x + 8*x^2 + 32*x^3 + E^x*(-2*x - 4*x^2))*Log[-3 - 6*x]*Log[Log[-3 - 6*x]] + (x^2 + 2*x^3)*Log[-3 - 6*x]*Log[Log[-3 - 6*x]]^2),x]","\frac{x}{8 x-e^x+x \log (\log (-6 x-3))-2}","\frac{x}{-e^x+x (\log (\log (-3 (2 x+1)))+8)-2}",1,"x/(-2 - E^x + 8*x + x*Log[Log[-3 - 6*x]])","A",1
764,1,88,33,0.0741119,"\int \frac{360+600 x+262 x^2+48 x^3-34 x^4-30 x^5+e^4 \left(-900-900 x-15 x^2+360 x^3+114 x^4-36 x^5-15 x^6\right)}{36 x^2+60 x^3+25 x^4+e^4 \left(-360 x-600 x^2-178 x^3+120 x^4+50 x^5\right)+e^8 \left(900+1500 x+265 x^2-600 x^3-214 x^4+60 x^5+25 x^6\right)} \, dx","Integrate[(360 + 600*x + 262*x^2 + 48*x^3 - 34*x^4 - 30*x^5 + E^4*(-900 - 900*x - 15*x^2 + 360*x^3 + 114*x^4 - 36*x^5 - 15*x^6))/(36*x^2 + 60*x^3 + 25*x^4 + E^4*(-360*x - 600*x^2 - 178*x^3 + 120*x^4 + 50*x^5) + E^8*(900 + 1500*x + 265*x^2 - 600*x^3 - 214*x^4 + 60*x^5 + 25*x^6)),x]","\frac{e^4 \left(-75 x^3-280 x^2+147 x+450\right)+e^8 \left(-75 x^4-90 x^3+447 x^2+450 x-360\right)-15 x (5 x+6)}{25 e^8 \left(e^4 \left(5 x^3+6 x^2-25 x-30\right)+x (5 x+6)\right)}","\frac{\frac{2 x}{\frac{6}{x}+5}-x+2}{\frac{x}{x^2-5}+e^4}",1,"(-15*x*(6 + 5*x) + E^4*(450 + 147*x - 280*x^2 - 75*x^3) + E^8*(-360 + 450*x + 447*x^2 - 90*x^3 - 75*x^4))/(25*E^8*(x*(6 + 5*x) + E^4*(-30 - 25*x + 6*x^2 + 5*x^3)))","B",1
765,1,53,27,0.1730045,"\int \frac{162+54 x+4 x^2+2 x^3-2 x^4+\left(-18 x-2 x^2-2 x^3\right) \log (2 x)+\left(81+36 x-11 x^2-4 x^3+x^4+\left(-18 x-4 x^2+2 x^3\right) \log (2 x)+x^2 \log ^2(2 x)\right) \log \left(\frac{486+216 x-66 x^2-24 x^3+6 x^4+\left(-108 x-24 x^2+12 x^3\right) \log (2 x)+6 x^2 \log ^2(2 x)}{x^2}\right)}{\left(81+36 x-11 x^2-4 x^3+x^4+\left(-18 x-4 x^2+2 x^3\right) \log (2 x)+x^2 \log ^2(2 x)\right) \log ^2\left(\frac{486+216 x-66 x^2-24 x^3+6 x^4+\left(-108 x-24 x^2+12 x^3\right) \log (2 x)+6 x^2 \log ^2(2 x)}{x^2}\right)} \, dx","Integrate[(162 + 54*x + 4*x^2 + 2*x^3 - 2*x^4 + (-18*x - 2*x^2 - 2*x^3)*Log[2*x] + (81 + 36*x - 11*x^2 - 4*x^3 + x^4 + (-18*x - 4*x^2 + 2*x^3)*Log[2*x] + x^2*Log[2*x]^2)*Log[(486 + 216*x - 66*x^2 - 24*x^3 + 6*x^4 + (-108*x - 24*x^2 + 12*x^3)*Log[2*x] + 6*x^2*Log[2*x]^2)/x^2])/((81 + 36*x - 11*x^2 - 4*x^3 + x^4 + (-18*x - 4*x^2 + 2*x^3)*Log[2*x] + x^2*Log[2*x]^2)*Log[(486 + 216*x - 66*x^2 - 24*x^3 + 6*x^4 + (-108*x - 24*x^2 + 12*x^3)*Log[2*x] + 6*x^2*Log[2*x]^2)/x^2]^2),x]","\frac{x}{\log \left(\frac{6 \left(x^4-4 x^3-11 x^2+x^2 \log ^2(2 x)+2 \left(x^2-2 x-9\right) x \log (2 x)+36 x+81\right)}{x^2}\right)}","\frac{x}{\log \left(6 \left(\left(-x+\frac{9}{x}-\log (2 x)+2\right)^2+3\right)\right)}",1,"x/Log[(6*(81 + 36*x - 11*x^2 - 4*x^3 + x^4 + 2*x*(-9 - 2*x + x^2)*Log[2*x] + x^2*Log[2*x]^2))/x^2]","A",1
766,1,36,17,0.0227801,"\int \frac{15 x^2+6 x^3-3 x^2 \log (3)}{25+30 x+9 x^2+(-10-6 x) \log (3)+\log ^2(3)} \, dx","Integrate[(15*x^2 + 6*x^3 - 3*x^2*Log[3])/(25 + 30*x + 9*x^2 + (-10 - 6*x)*Log[3] + Log[3]^2),x]","\frac{9 x^3-3 x (\log (3)-5)^2+(\log (3)-5)^3}{9 (3 x+5-\log (3))}","\frac{x^3}{3 x+5-\log (3)}-36",1,"(9*x^3 - 3*x*(-5 + Log[3])^2 + (-5 + Log[3])^3)/(9*(5 + 3*x - Log[3]))","B",1
767,1,29,26,0.217211,"\int \frac{-4 x+16 x^4+4 x^5-4 x^6+\left(-4-4 x+x^2+20 x^4+4 x^5-5 x^6\right) \log (x)}{8-8 x+2 x^2+\left(16-16 x+4 x^2\right) \log (x)+\left(8-8 x+2 x^2\right) \log ^2(x)} \, dx","Integrate[(-4*x + 16*x^4 + 4*x^5 - 4*x^6 + (-4 - 4*x + x^2 + 20*x^4 + 4*x^5 - 5*x^6)*Log[x])/(8 - 8*x + 2*x^2 + (16 - 16*x + 4*x^2)*Log[x] + (8 - 8*x + 2*x^2)*Log[x]^2),x]","-\frac{x \left(x^5+2 x^4-x-2\right)}{2 (x-2) (\log (x)+1)}","\frac{x (x+2) \left(1-x^4\right)}{2 (x-2) (\log (x)+1)}",1,"-1/2*(x*(-2 - x + 2*x^4 + x^5))/((-2 + x)*(1 + Log[x]))","A",1
768,0,0,31,0.4587166,"\int \frac{e^{\frac{5+20 x^2-5 \log \left(\frac{4+e^{2 x}}{5 x^2}\right)}{x}} \left(20+80 x^2+e^{2 x} \left(5-10 x+20 x^2\right)+\left(20+5 e^{2 x}\right) \log \left(\frac{4+e^{2 x}}{5 x^2}\right)\right)}{4 x^2+e^{2 x} x^2} \, dx","Integrate[(E^((5 + 20*x^2 - 5*Log[(4 + E^(2*x))/(5*x^2)])/x)*(20 + 80*x^2 + E^(2*x)*(5 - 10*x + 20*x^2) + (20 + 5*E^(2*x))*Log[(4 + E^(2*x))/(5*x^2)]))/(4*x^2 + E^(2*x)*x^2),x]","\int \frac{e^{\frac{5+20 x^2-5 \log \left(\frac{4+e^{2 x}}{5 x^2}\right)}{x}} \left(20+80 x^2+e^{2 x} \left(5-10 x+20 x^2\right)+\left(20+5 e^{2 x}\right) \log \left(\frac{4+e^{2 x}}{5 x^2}\right)\right)}{4 x^2+e^{2 x} x^2} \, dx","e^{\frac{5 \left(4 x^2-\log \left(\frac{e^{2 x}+4}{5 x^2}\right)+1\right)}{x}}",1,"Integrate[(E^((5 + 20*x^2 - 5*Log[(4 + E^(2*x))/(5*x^2)])/x)*(20 + 80*x^2 + E^(2*x)*(5 - 10*x + 20*x^2) + (20 + 5*E^(2*x))*Log[(4 + E^(2*x))/(5*x^2)]))/(4*x^2 + E^(2*x)*x^2), x]","F",-1
769,1,27,26,0.0174418,"\int \frac{e^{-15-x} \left(e^{16+x}-2 e^5 x^2+2 x^3-x^4\right)}{x^2} \, dx","Integrate[(E^(-15 - x)*(E^(16 + x) - 2*E^5*x^2 + 2*x^3 - x^4))/x^2,x]","e^{-x-15} x^2+2 e^{-x-10}-\frac{e}{x}","e^{-x-10} \left(\frac{x^2}{e^5}+2\right)-\frac{x+e}{x}",1,"2*E^(-10 - x) - E/x + E^(-15 - x)*x^2","A",1
770,1,23,23,0.3627616,"\int \frac{-10 x^2-11 x^3+120 x^6+120 x^7+\left(3 x^2+3 x^3-40 x^6-40 x^7\right) \log \left(x+x^2\right)}{e^{-20+10 x^4} (9+9 x)+e^{-20+10 x^4} (-6-6 x) \log \left(x+x^2\right)+e^{-20+10 x^4} (1+x) \log ^2\left(x+x^2\right)} \, dx","Integrate[(-10*x^2 - 11*x^3 + 120*x^6 + 120*x^7 + (3*x^2 + 3*x^3 - 40*x^6 - 40*x^7)*Log[x + x^2])/(E^(-20 + 10*x^4)*(9 + 9*x) + E^(-20 + 10*x^4)*(-6 - 6*x)*Log[x + x^2] + E^(-20 + 10*x^4)*(1 + x)*Log[x + x^2]^2),x]","\frac{e^{20-10 x^4} x^3}{\log (x (x+1))-3}","\frac{e^{-10 \left(x^4-2\right)} x^3}{\log (x (x+1))-3}",1,"(E^(20 - 10*x^4)*x^3)/(-3 + Log[x*(1 + x)])","A",1
771,1,27,25,0.617967,"\int \frac{16-4 e^x+\left(-8+e^x (2+4 x)\right) \log (x)+(2+3 x) \log ^2(x)}{\left(-8 x+2 e^x x\right) \log (x)+\left(2 x+x^2\right) \log ^2(x)} \, dx","Integrate[(16 - 4*E^x + (-8 + E^x*(2 + 4*x))*Log[x] + (2 + 3*x)*Log[x]^2)/((-8*x + 2*E^x*x)*Log[x] + (2*x + x^2)*Log[x]^2),x]","\log (x)-2 \log (\log (x))+2 \log \left(-2 e^x-x \log (x)-2 \log (x)+8\right)","\log \left(\frac{\left(x^2+\frac{2 x \left(e^x+\log (x)-4\right)}{\log (x)}\right)^2}{x}\right)",1,"Log[x] - 2*Log[Log[x]] + 2*Log[8 - 2*E^x - 2*Log[x] - x*Log[x]]","A",1
772,1,18,13,0.0016555,"\int e^5 \left(320 x^3+80 x^4\right) \log (5) \, dx","Integrate[E^5*(320*x^3 + 80*x^4)*Log[5],x]","80 e^5 \left(\frac{x^5}{5}+x^4\right) \log (5)","16 e^5 x^4 (x+5) \log (5)",1,"80*E^5*(x^4 + x^5/5)*Log[5]","A",1
773,1,36,27,0.0033761,"\int \frac{1}{4} \left(4-2 e x-16 x^3+e^2 \left(2 x+x^3\right)\right) \, dx","Integrate[(4 - 2*E*x - 16*x^3 + E^2*(2*x + x^3))/4,x]","\frac{1}{4} \left(\frac{e^2 x^4}{4}-4 x^4+e^2 x^2-e x^2+4 x\right)","-x^4+\frac{1}{16} e^2 \left(x^2-\frac{2}{e}+2\right)^2+x-3",1,"(4*x - E*x^2 + E^2*x^2 - 4*x^4 + (E^2*x^4)/4)/4","A",1
774,1,23,21,0.0514877,"\int \left(8 x+6 x^2+8 x^3+e^{2 x} \left(-6 x^2-4 x^3\right)+6 x^2 \log (4)\right) \, dx","Integrate[8*x + 6*x^2 + 8*x^3 + E^(2*x)*(-6*x^2 - 4*x^3) + 6*x^2*Log[4],x]","2 x^2 \left(x^2+x \left(-e^{2 x}+1+\log (4)\right)+2\right)","2 x^2 \left(x+x \left(x-e^{2 x}+\log (4)\right)+2\right)",1,"2*x^2*(2 + x^2 + x*(1 - E^(2*x) + Log[4]))","A",1
775,1,58,26,0.1615794,"\int \frac{\left(2 e^2+2 e^{8 x}+8 e^{6 x} x-4 e x^2+2 x^4+e^{4 x} \left(-4 e+12 x^2-8 \log (5)\right)-4 x \log (5)+e^{2 x} \left(-8 e x+8 x^3+(-4-8 x) \log (5)\right)\right) \log \left(\frac{e x-e^{4 x} x-2 e^{2 x} x^2-x^3-\log (5)}{e^{4 x} \log (5)+2 e^{2 x} x \log (5)+\left(-e+x^2\right) \log (5)}\right)}{e^2 x+e^{8 x} x+4 e^{6 x} x^2-2 e x^3+x^5+\left(-e+x^2\right) \log (5)+e^{4 x} \left(-2 e x+6 x^3+\log (5)\right)+e^{2 x} \left(-4 e x^2+4 x^4+2 x \log (5)\right)} \, dx","Integrate[((2*E^2 + 2*E^(8*x) + 8*E^(6*x)*x - 4*E*x^2 + 2*x^4 + E^(4*x)*(-4*E + 12*x^2 - 8*Log[5]) - 4*x*Log[5] + E^(2*x)*(-8*E*x + 8*x^3 + (-4 - 8*x)*Log[5]))*Log[(E*x - E^(4*x)*x - 2*E^(2*x)*x^2 - x^3 - Log[5])/(E^(4*x)*Log[5] + 2*E^(2*x)*x*Log[5] + (-E + x^2)*Log[5])])/(E^2*x + E^(8*x)*x + 4*E^(6*x)*x^2 - 2*E*x^3 + x^5 + (-E + x^2)*Log[5] + E^(4*x)*(-2*E*x + 6*x^3 + Log[5]) + E^(2*x)*(-4*E*x^2 + 4*x^4 + 2*x*Log[5])),x]","\log ^2\left(-\frac{x^3+2 e^{2 x} x^2+e^{4 x} x-e x+\log (5)}{\left(x^2+2 e^{2 x} x+e^{4 x}-e\right) \log (5)}\right)","\log ^2\left(\frac{1}{e-\left(x+e^{2 x}\right)^2}-\frac{x}{\log (5)}\right)",1,"Log[-((-(E*x) + E^(4*x)*x + 2*E^(2*x)*x^2 + x^3 + Log[5])/((-E + E^(4*x) + 2*E^(2*x)*x + x^2)*Log[5]))]^2","B",1
776,1,40,28,0.1633381,"\int \frac{\exp \left(e^{\frac{-5+x^2+x^3}{x}} \left(4 x-x^2\right)+8 e^{\frac{-5+x^2+x^3}{x}} x^3 \log (x)\right) \left(e^{\frac{-5+x^2+x^3}{x}} \left(20-x+2 x^2+15 x^3-2 x^4\right)+e^{\frac{-5+x^2+x^3}{x}} \left(40 x^2+24 x^3+8 x^4+16 x^5\right) \log (x)\right)}{x} \, dx","Integrate[(E^(E^((-5 + x^2 + x^3)/x)*(4*x - x^2) + 8*E^((-5 + x^2 + x^3)/x)*x^3*Log[x])*(E^((-5 + x^2 + x^3)/x)*(20 - x + 2*x^2 + 15*x^3 - 2*x^4) + E^((-5 + x^2 + x^3)/x)*(40*x^2 + 24*x^3 + 8*x^4 + 16*x^5)*Log[x]))/x,x]","e^{-e^{x^2+x-\frac{5}{x}} (x-4) x} x^{8 e^{x^2+x-\frac{5}{x}} x^3}","e^{e^{x^2+x-\frac{5}{x}} x \left(8 x^2 \log (x)-x+4\right)}",1,"x^(8*E^(-5/x + x + x^2)*x^3)/E^(E^(-5/x + x + x^2)*(-4 + x)*x)","A",1
777,1,16,15,0.0018147,"\int \frac{1-6 x^2 \log (5)}{5 x} \, dx","Integrate[(1 - 6*x^2*Log[5])/(5*x),x]","\frac{\log (x)}{5}-\frac{3}{5} x^2 \log (5)","\frac{1}{5} \left(-3 x^2 \log (5)+\log (x)+3\right)",1,"(-3*x^2*Log[5])/5 + Log[x]/5","A",1
778,1,22,22,0.1275492,"\int \frac{-10+4 x+\left(-2+2 x-x^2\right) \log (x)+(2-x) \log \left(-\frac{x}{-2+x}\right)}{-2 x+x^2+\left(-4 x+2 x^2\right) \log (x)+\left(-2 x+x^2\right) \log ^2(x)} \, dx","Integrate[(-10 + 4*x + (-2 + 2*x - x^2)*Log[x] + (2 - x)*Log[-(x/(-2 + x))])/(-2*x + x^2 + (-4*x + 2*x^2)*Log[x] + (-2*x + x^2)*Log[x]^2),x]","-\frac{x-\log \left(-\frac{x}{x-2}\right)+4}{\log (x)+1}","\frac{-x+\log \left(\frac{x}{2-x}\right)-4}{\log (x)+1}",1,"-((4 + x - Log[-(x/(-2 + x))])/(1 + Log[x]))","A",1
779,1,19,19,0.056799,"\int \frac{e^{\frac{9-3 x^2-x^2 \log (16)}{x^2}} \left(-72+4 x^2\right)+e^{x+\frac{9-3 x^2-x^2 \log (16)}{x^2}} \left(-18+x^2+x^3\right)}{x^2} \, dx","Integrate[(E^((9 - 3*x^2 - x^2*Log[16])/x^2)*(-72 + 4*x^2) + E^(x + (9 - 3*x^2 - x^2*Log[16])/x^2)*(-18 + x^2 + x^3))/x^2,x]","\frac{1}{16} e^{\frac{9}{x^2}-3} \left(e^x+4\right) x","\frac{1}{16} e^{\frac{9}{x^2}-3} \left(e^x+4\right) x",1,"(E^(-3 + 9/x^2)*(4 + E^x)*x)/16","A",1
780,1,26,30,0.2252318,"\int \frac{1}{10} e^{-\frac{e^{16+x}}{2}} \left(2+8 x+e^{e^x} \left(2+2 e^x x-e^{16+x} x\right)+e^{16+x} \left(-x-2 x^2\right)\right) \, dx","Integrate[(2 + 8*x + E^E^x*(2 + 2*E^x*x - E^(16 + x)*x) + E^(16 + x)*(-x - 2*x^2))/(10*E^(E^(16 + x)/2)),x]","\frac{1}{5} e^{-\frac{e^{x+16}}{2}} x \left(2 x+e^{e^x}+1\right)","\frac{1}{5} e^{-\frac{e^{x+16}}{2}} \left(\left(2 x+e^{e^x}\right) x+x\right)-3",1,"(x*(1 + E^E^x + 2*x))/(5*E^(E^(16 + x)/2))","A",1
781,1,62,31,0.1594983,"\int \exp \left(5-36 x^2+60 x^3-13 x^4-10 x^5-x^6+e^{4 x} \left(-9 x^4+18 x^5-9 x^6\right)+e^{2 x} \left(36 x^3-66 x^4+24 x^5+6 x^6\right)\right) \left(-72 x+180 x^2-52 x^3-50 x^4-6 x^5+e^{4 x} \left(-36 x^3+54 x^4+18 x^5-36 x^6\right)+e^{2 x} \left(108 x^2-192 x^3-12 x^4+84 x^5+12 x^6\right)\right) \, dx","Integrate[E^(5 - 36*x^2 + 60*x^3 - 13*x^4 - 10*x^5 - x^6 + E^(4*x)*(-9*x^4 + 18*x^5 - 9*x^6) + E^(2*x)*(36*x^3 - 66*x^4 + 24*x^5 + 6*x^6))*(-72*x + 180*x^2 - 52*x^3 - 50*x^4 - 6*x^5 + E^(4*x)*(-36*x^3 + 54*x^4 + 18*x^5 - 36*x^6) + E^(2*x)*(108*x^2 - 192*x^3 - 12*x^4 + 84*x^5 + 12*x^6)),x]","\exp \left(-x^6-10 x^5-9 e^{4 x} (x-1)^2 x^4-13 x^4+6 e^{2 x} (x-1)^2 (x+6) x^3+60 x^3-36 x^2+5\right)","\exp \left(5-\left(x-x^2\right)^2 \left(x+3 \left(2-e^{2 x} x\right)\right)^2\right)",1,"E^(5 - 36*x^2 + 60*x^3 - 13*x^4 - 9*E^(4*x)*(-1 + x)^2*x^4 - 10*x^5 - x^6 + 6*E^(2*x)*(-1 + x)^2*x^3*(6 + x))","A",1
782,1,1185,26,0.9263238,"\int \frac{e^5 \left(54 e x+e^2 \left(36+6 x^3\right)\right)+\left(-18 e x+e^2 \left(-12-2 x^3\right)\right) \log \left(\frac{e x^2+x^3}{-3+x^3}\right)}{-3 x^2+x^5+e \left(-3 x+x^4\right)} \, dx","Integrate[(E^5*(54*E*x + E^2*(36 + 6*x^3)) + (-18*E*x + E^2*(-12 - 2*x^3))*Log[(E*x^2 + x^3)/(-3 + x^3)])/(-3*x^2 + x^5 + E*(-3*x + x^4)),x]","2 e \left(-\frac{1}{2} \log ^2\left(-x-\sqrt[3]{-3}\right)-\log \left(\frac{\sqrt[3]{3}-x}{\sqrt[3]{-3}+\sqrt[3]{3}}\right) \log \left(-x-\sqrt[3]{-3}\right)+2 \log \left(\frac{(-1)^{2/3} x}{\sqrt[3]{3}}\right) \log \left(-x-\sqrt[3]{-3}\right)+\log \left(-\frac{x+e}{\sqrt[3]{-3}-e}\right) \log \left(-x-\sqrt[3]{-3}\right)-\log \left(\frac{(-1)^{2/3} x+\sqrt[3]{-3}}{\sqrt[3]{-3}+\sqrt[3]{3}}\right) \log \left(-x-\sqrt[3]{-3}\right)+\left(3 e^5-\log \left(\frac{x^2 (x+e)}{x^3-3}\right)\right) \log \left(-x-\sqrt[3]{-3}\right)-\frac{1}{2} \log ^2\left(\sqrt[3]{3}-x\right)-\frac{1}{2} \log ^2\left((-1)^{2/3} \sqrt[3]{3}-x\right)-\frac{1}{2} \log ^2(-x-e)-2 \log ^2(x)+\frac{2}{3} \log (3) \log \left(\sqrt[3]{3}-x\right)+\log \left(\frac{\sqrt[3]{3}-x}{\sqrt[3]{3}+e}\right) \log (-x-e)+\log \left(\frac{(-1)^{2/3} \sqrt[3]{3}-x}{(-1)^{2/3} \sqrt[3]{3}+e}\right) \log (-x-e)-2 \log (-x-e) (\log (-x)-1)+\frac{2}{3} \log (3) \log (x)+2 \log \left((-1)^{2/3} \sqrt[3]{3}-x\right) \log \left(-\sqrt[3]{-\frac{1}{3}} x\right)-\log \left((-1)^{2/3} \sqrt[3]{3}-x\right) \log \left(-\frac{i \left(x+\sqrt[3]{-3}\right)}{3^{5/6}}\right)-\log \left(\sqrt[3]{3}-x\right) \log \left(\frac{x+\sqrt[3]{-3}}{\sqrt[3]{-3}+\sqrt[3]{3}}\right)+\log (-x-e) \log \left(\frac{x+\sqrt[3]{-3}}{\sqrt[3]{-3}-e}\right)-2 \log (x) (\log (x+e)-1)+\log \left(\sqrt[3]{3}+e\right) \log (x+e)+\log \left((-1)^{2/3} \sqrt[3]{3}-x\right) \log \left(\frac{x+e}{(-1)^{2/3} \sqrt[3]{3}+e}\right)+2 \log (x) \log \left(\frac{1}{3} \left(3-(-3)^{2/3} x\right)\right)+2 \log (x) \log \left(\sqrt[3]{-\frac{1}{3}} x+1\right)-\log \left(\sqrt[3]{3}-x\right) \log \left(\frac{\frac{2 i x}{\sqrt[3]{3}}+\sqrt{3}+i}{3 i+\sqrt{3}}\right)-\log \left((-1)^{2/3} \sqrt[3]{3}-x\right) \log \left(-\frac{2 i \left(3^{2/3} x-3\right)}{3 \left(3 i+\sqrt{3}\right)}\right)+\log \left(\sqrt[3]{3}-x\right) \left(3 e^5-\log \left(\frac{x^2 (x+e)}{x^3-3}\right)\right)+\log \left((-1)^{2/3} \sqrt[3]{3}-x\right) \left(3 e^5-\log \left(\frac{x^2 (x+e)}{x^3-3}\right)\right)+\log (-x-e) \left(\log \left(\frac{x^2 (x+e)}{x^3-3}\right)-3 e^5\right)+2 \log (x) \left(\log \left(\frac{x^2 (x+e)}{x^3-3}\right)-3 e^5\right)-\text{Li}_2\left(\frac{\sqrt[3]{3}-x}{\sqrt[3]{-3}+\sqrt[3]{3}}\right)+\text{Li}_2\left(\frac{(-1)^{2/3} \sqrt[3]{3}-x}{(-1)^{2/3} \sqrt[3]{3}+e}\right)+2 \text{Li}_2\left(-\sqrt[3]{-\frac{1}{3}} x\right)-2 \text{Li}_2\left(\frac{x}{\sqrt[3]{3}}\right)+2 \text{Li}_2\left(\frac{(-1)^{2/3} x}{\sqrt[3]{3}}\right)-2 \text{Li}_2\left(-\frac{x}{e}\right)-\text{Li}_2\left(\frac{x+\sqrt[3]{-3}}{\sqrt[3]{-3}+\sqrt[3]{3}}\right)+\text{Li}_2\left(\frac{x+\sqrt[3]{-3}}{\sqrt[3]{-3}-e}\right)+\text{Li}_2\left(-\frac{x+e}{\sqrt[3]{-3}-e}\right)-2 \text{Li}_2\left(\frac{x+e}{e}\right)+\text{Li}_2\left(\frac{x+e}{(-1)^{2/3} \sqrt[3]{3}+e}\right)+2 \text{Li}_2\left(\frac{1}{3} \left(3-(-3)^{2/3} x\right)\right)-\text{Li}_2\left(\frac{\sqrt[3]{3}-(-1)^{2/3} x}{\sqrt[3]{-3}+\sqrt[3]{3}}\right)-\text{Li}_2\left(\frac{(-1)^{2/3} x+\sqrt[3]{-3}}{\sqrt[3]{-3}+\sqrt[3]{3}}\right)+2 \text{Li}_2\left(\sqrt[3]{-\frac{1}{3}} x+1\right)-2 \text{Li}_2\left(1-\frac{x}{\sqrt[3]{3}}\right)-\text{Li}_2\left(\frac{\frac{2 i x}{\sqrt[3]{3}}+\sqrt{3}+i}{3 i+\sqrt{3}}\right)-\text{Li}_2\left(-\frac{2 i \left(3^{2/3} x-3\right)}{3 \left(3 i+\sqrt{3}\right)}\right)\right)","e \left(3 e^5-\log \left(\frac{x+e}{x-\frac{3}{x^2}}\right)\right)^2",1,"2*E*(-1/2*Log[-(-3)^(1/3) - x]^2 + (2*Log[3]*Log[3^(1/3) - x])/3 - Log[3^(1/3) - x]^2/2 - Log[-(-3)^(1/3) - x]*Log[(3^(1/3) - x)/((-3)^(1/3) + 3^(1/3))] - Log[(-1)^(2/3)*3^(1/3) - x]^2/2 + Log[(3^(1/3) - x)/(3^(1/3) + E)]*Log[-E - x] + Log[((-1)^(2/3)*3^(1/3) - x)/((-1)^(2/3)*3^(1/3) + E)]*Log[-E - x] - Log[-E - x]^2/2 - 2*Log[-E - x]*(-1 + Log[-x]) + (2*Log[3]*Log[x])/3 - 2*Log[x]^2 + 2*Log[(-1)^(2/3)*3^(1/3) - x]*Log[-((-1/3)^(1/3)*x)] + 2*Log[-(-3)^(1/3) - x]*Log[((-1)^(2/3)*x)/3^(1/3)] - Log[(-1)^(2/3)*3^(1/3) - x]*Log[((-I)*((-3)^(1/3) + x))/3^(5/6)] - Log[3^(1/3) - x]*Log[((-3)^(1/3) + x)/((-3)^(1/3) + 3^(1/3))] + Log[-E - x]*Log[((-3)^(1/3) + x)/((-3)^(1/3) - E)] - 2*Log[x]*(-1 + Log[E + x]) + Log[3^(1/3) + E]*Log[E + x] + Log[-(-3)^(1/3) - x]*Log[-((E + x)/((-3)^(1/3) - E))] + Log[(-1)^(2/3)*3^(1/3) - x]*Log[(E + x)/((-1)^(2/3)*3^(1/3) + E)] + 2*Log[x]*Log[(3 - (-3)^(2/3)*x)/3] - Log[-(-3)^(1/3) - x]*Log[((-3)^(1/3) + (-1)^(2/3)*x)/((-3)^(1/3) + 3^(1/3))] + 2*Log[x]*Log[1 + (-1/3)^(1/3)*x] - Log[3^(1/3) - x]*Log[(I + Sqrt[3] + ((2*I)*x)/3^(1/3))/(3*I + Sqrt[3])] - Log[(-1)^(2/3)*3^(1/3) - x]*Log[(((-2*I)/3)*(-3 + 3^(2/3)*x))/(3*I + Sqrt[3])] + Log[-(-3)^(1/3) - x]*(3*E^5 - Log[(x^2*(E + x))/(-3 + x^3)]) + Log[3^(1/3) - x]*(3*E^5 - Log[(x^2*(E + x))/(-3 + x^3)]) + Log[(-1)^(2/3)*3^(1/3) - x]*(3*E^5 - Log[(x^2*(E + x))/(-3 + x^3)]) + Log[-E - x]*(-3*E^5 + Log[(x^2*(E + x))/(-3 + x^3)]) + 2*Log[x]*(-3*E^5 + Log[(x^2*(E + x))/(-3 + x^3)]) - PolyLog[2, (3^(1/3) - x)/((-3)^(1/3) + 3^(1/3))] + PolyLog[2, ((-1)^(2/3)*3^(1/3) - x)/((-1)^(2/3)*3^(1/3) + E)] + 2*PolyLog[2, -((-1/3)^(1/3)*x)] - 2*PolyLog[2, x/3^(1/3)] + 2*PolyLog[2, ((-1)^(2/3)*x)/3^(1/3)] - 2*PolyLog[2, -(x/E)] - PolyLog[2, ((-3)^(1/3) + x)/((-3)^(1/3) + 3^(1/3))] + PolyLog[2, ((-3)^(1/3) + x)/((-3)^(1/3) - E)] + PolyLog[2, -((E + x)/((-3)^(1/3) - E))] - 2*PolyLog[2, (E + x)/E] + PolyLog[2, (E + x)/((-1)^(2/3)*3^(1/3) + E)] + 2*PolyLog[2, (3 - (-3)^(2/3)*x)/3] - PolyLog[2, (3^(1/3) - (-1)^(2/3)*x)/((-3)^(1/3) + 3^(1/3))] - PolyLog[2, ((-3)^(1/3) + (-1)^(2/3)*x)/((-3)^(1/3) + 3^(1/3))] + 2*PolyLog[2, 1 + (-1/3)^(1/3)*x] - 2*PolyLog[2, 1 - x/3^(1/3)] - PolyLog[2, (I + Sqrt[3] + ((2*I)*x)/3^(1/3))/(3*I + Sqrt[3])] - PolyLog[2, (((-2*I)/3)*(-3 + 3^(2/3)*x))/(3*I + Sqrt[3])])","C",0
783,1,56,33,0.1061306,"\int \frac{-4 x+8 x^2-5 x^3+x^4+\left(-4 x^2+4 x^3-x^4\right) \log (x)+\left(-2 x+3 x^2\right) \log ^2(x)+(2-2 x) \log \left(\frac{e^x}{3}\right) \log ^2(x)}{\left(4 x^2-4 x^3+x^4\right) \log ^2(x)} \, dx","Integrate[(-4*x + 8*x^2 - 5*x^3 + x^4 + (-4*x^2 + 4*x^3 - x^4)*Log[x] + (-2*x + 3*x^2)*Log[x]^2 + (2 - 2*x)*Log[E^x/3]*Log[x]^2)/((4*x^2 - 4*x^3 + x^4)*Log[x]^2),x]","\frac{1-x}{\log (x)}-\frac{\log \left(\frac{e^x}{3}\right)}{2 x}-\frac{\log \left(e^x\right)}{2 (2-x)}+\frac{4+\log (3)}{2 (2-x)}","\frac{\log \left(\frac{e^x}{3}\right)-x^2}{(x-2) x}-\frac{x-1}{\log (x)}",1,"(4 + Log[3])/(2*(2 - x)) - Log[E^x/3]/(2*x) - Log[E^x]/(2*(2 - x)) + (1 - x)/Log[x]","A",1
784,1,24,26,1.01783,"\int \frac{5^{e x} \left(\frac{x^4}{6+6 x^2}\right)^{e x} \left(1+x^2+e \left(4 x+2 x^3\right)+e \left(x+x^3\right) \log \left(\frac{5 x^4}{6+6 x^2}\right)\right)}{1+x^2} \, dx","Integrate[(5^(E*x)*(x^4/(6 + 6*x^2))^(E*x)*(1 + x^2 + E*(4*x + 2*x^3) + E*(x + x^3)*Log[(5*x^4)/(6 + 6*x^2)]))/(1 + x^2),x]","5^{e x} x \left(\frac{x^4}{6 x^2+6}\right)^{e x}","\left(\frac{5}{3}\right)^{e x} x \left(\frac{x^4}{2 x^2+2}\right)^{e x}",1,"5^(E*x)*x*(x^4/(6 + 6*x^2))^(E*x)","A",1
785,1,15,20,0.001988,"\int \frac{10+17 x-10 x^2}{5 x} \, dx","Integrate[(10 + 17*x - 10*x^2)/(5*x),x]","-x^2+\frac{17 x}{5}+2 \log (x)","\log \left(x^2\right)+(4-x) x-\frac{3 x}{5}+7+\log (4)",1,"(17*x)/5 - x^2 + 2*Log[x]","A",1
786,1,30,27,1.0367513,"\int \frac{243 \left(e^{5-x} \left(3 x+4 x^2\right)-3 \log (5)+e^{5-x} \left(-15 x-25 x^2+20 x^3\right) \log (x)\right)}{\left(e^{5-x} \left(3 x+4 x^2\right)-3 \log (5)\right)^5 \left(e^{5-x} \left(3 x^2+4 x^3\right)-3 x \log (5)\right)} \, dx","Integrate[(243*(E^(5 - x)*(3*x + 4*x^2) - 3*Log[5] + E^(5 - x)*(-15*x - 25*x^2 + 20*x^3)*Log[x]))/((E^(5 - x)*(3*x + 4*x^2) - 3*Log[5])^5*(E^(5 - x)*(3*x^2 + 4*x^3) - 3*x*Log[5])),x]","-\frac{243 e^{5 x} \log (x)}{\left(3 e^x \log (5)-e^5 x (4 x+3)\right)^5}","\frac{\log (x)}{\left(e^{5-x} \left(\frac{4 x^2}{3}+x\right)-\log (5)\right)^5}",1,"(-243*E^(5*x)*Log[x])/(-(E^5*x*(3 + 4*x)) + 3*E^x*Log[5])^5","A",1
787,1,28,30,0.1924972,"\int \frac{\exp \left(\frac{2 \left(4-x^3 \log \left(-e^x-x+\log (-15+5 x)\right)\right)}{\log \left(-e^x-x+\log (-15+5 x)\right)}\right) \left(-32+8 x+e^x (-24+8 x)+\left(-18 x^3+6 x^4+e^x \left(-18 x^2+6 x^3\right)+\left(18 x^2-6 x^3\right) \log (-15+5 x)\right) \log ^2\left(-e^x-x+\log (-15+5 x)\right)\right)}{\left(e^x (3-x)+3 x-x^2+(-3+x) \log (-15+5 x)\right) \log ^2\left(-e^x-x+\log (-15+5 x)\right)} \, dx","Integrate[(E^((2*(4 - x^3*Log[-E^x - x + Log[-15 + 5*x]]))/Log[-E^x - x + Log[-15 + 5*x]])*(-32 + 8*x + E^x*(-24 + 8*x) + (-18*x^3 + 6*x^4 + E^x*(-18*x^2 + 6*x^3) + (18*x^2 - 6*x^3)*Log[-15 + 5*x])*Log[-E^x - x + Log[-15 + 5*x]]^2))/((E^x*(3 - x) + 3*x - x^2 + (-3 + x)*Log[-15 + 5*x])*Log[-E^x - x + Log[-15 + 5*x]]^2),x]","e^{\frac{8}{\log \left(-x-e^x+\log (5 (x-3))\right)}-2 x^3}","e^{\frac{8}{\log \left(-x-e^x+\log (5 (x-3))\right)}-2 x^3}+2",1,"E^(-2*x^3 + 8/Log[-E^x - x + Log[5*(-3 + x)]])","A",1
788,1,19,20,0.025375,"\int \frac{x^2+e^{e^x+x} x^2+e^{3+e^x} \left(-5+5 e^x x\right)}{x^2} \, dx","Integrate[(x^2 + E^(E^x + x)*x^2 + E^(3 + E^x)*(-5 + 5*E^x*x))/x^2,x]","x+e^{e^x}+\frac{5 e^{e^x+3}}{x}","x+e^{e^x}+\frac{5 e^{e^x+3}}{x}-11",1,"E^E^x + (5*E^(3 + E^x))/x + x","A",1
789,1,17,23,0.0010729,"\int \frac{1}{16} \left(96 x-3 x^2\right) \, dx","Integrate[(96*x - 3*x^2)/16,x]","-\frac{3}{16} \left(\frac{x^3}{3}-16 x^2\right)","-\frac{x^3}{16}+3 x^2-e^{2 e^2}+3",1,"(-3*(-16*x^2 + x^3/3))/16","A",1
790,1,23,22,0.396708,"\int \frac{19 x^3-3 x^4+e^8 \left(729 x-81 x^2\right)+e^4 \left(252 x^2-36 x^3\right)+\left(162 e^8 x+54 e^4 x^2+4 x^3\right) \log (x)}{25-10 x+x^2+(10-2 x) \log (x)+\log ^2(x)} \, dx","Integrate[(19*x^3 - 3*x^4 + E^8*(729*x - 81*x^2) + E^4*(252*x^2 - 36*x^3) + (162*E^8*x + 54*E^4*x^2 + 4*x^3)*Log[x])/(25 - 10*x + x^2 + (10 - 2*x)*Log[x] + Log[x]^2),x]","-\frac{x^2 \left(x+9 e^4\right)^2}{x-\log (x)-5}","\frac{x^2 \left(x+9 e^4\right)^2}{-x+\log (x)+5}",1,"-((x^2*(9*E^4 + x)^2)/(-5 + x - Log[x]))","A",1
791,1,55,24,0.1880425,"\int \frac{3468+2155 x+462 x^2+39 x^3+x^4+e^{-6-6 x} (27+x)+e^{-4-4 x} \left(414+93 x+3 x^2\right)+e^{-2-2 x} \left(2091+876 x+105 x^2+3 x^3\right)+\left(-510 x+180 e^{-4-4 x} x-90 x^2+e^{-2-2 x} \left(930 x+180 x^2\right)\right) \log (x)}{64 x+e^{-6-6 x} x+48 x^2+12 x^3+x^4+e^{-4-4 x} \left(12 x+3 x^2\right)+e^{-2-2 x} \left(48 x+24 x^2+3 x^3\right)} \, dx","Integrate[(3468 + 2155*x + 462*x^2 + 39*x^3 + x^4 + E^(-6 - 6*x)*(27 + x) + E^(-4 - 4*x)*(414 + 93*x + 3*x^2) + E^(-2 - 2*x)*(2091 + 876*x + 105*x^2 + 3*x^3) + (-510*x + 180*E^(-4 - 4*x)*x - 90*x^2 + E^(-2 - 2*x)*(930*x + 180*x^2))*Log[x])/(64*x + E^(-6 - 6*x)*x + 48*x^2 + 12*x^3 + x^4 + E^(-4 - 4*x)*(12*x + 3*x^2) + E^(-2 - 2*x)*(48*x + 24*x^2 + 3*x^3)),x]","\frac{x \left(e^{2 x+2} (x+4)+1\right)^2+3 \left(e^{2 x+2} (3 x+17)+3\right)^2 \log (x)}{\left(e^{2 x+2} (x+4)+1\right)^2}","x+3 \left(\frac{5}{x+e^{-2 x-2}+4}+3\right)^2 \log (x)",1,"(x*(1 + E^(2 + 2*x)*(4 + x))^2 + 3*(3 + E^(2 + 2*x)*(17 + 3*x))^2*Log[x])/(1 + E^(2 + 2*x)*(4 + x))^2","B",1
792,1,47,30,0.5208526,"\int \frac{e^{\frac{4}{2 x+x^2}} (-8-8 x)+8 x^3+8 x^4+2 x^5+e^{\frac{2}{2 x+x^2}} \left(-8 x+8 x^3+2 x^4\right)+e^{e^4+2 e^{e^4+e^x-x}+e^x-x} \left(-8 x^2-8 x^3-2 x^4+e^x \left(8 x^2+8 x^3+2 x^4\right)\right)+e^{e^{e^4+e^x-x}} \left(e^{\frac{2}{2 x+x^2}} (-8-8 x)+8 x^2+8 x^3+2 x^4+e^{e^4+e^x-x} \left(-8 x^3-8 x^4-2 x^5+e^{\frac{2}{2 x+x^2}} \left(-8 x^2-8 x^3-2 x^4\right)+e^x \left(8 x^3+8 x^4+2 x^5+e^{\frac{2}{2 x+x^2}} \left(8 x^2+8 x^3+2 x^4\right)\right)\right)\right)}{4 x^2+4 x^3+x^4} \, dx","Integrate[(E^(4/(2*x + x^2))*(-8 - 8*x) + 8*x^3 + 8*x^4 + 2*x^5 + E^(2/(2*x + x^2))*(-8*x + 8*x^3 + 2*x^4) + E^(E^4 + 2*E^(E^4 + E^x - x) + E^x - x)*(-8*x^2 - 8*x^3 - 2*x^4 + E^x*(8*x^2 + 8*x^3 + 2*x^4)) + E^E^(E^4 + E^x - x)*(E^(2/(2*x + x^2))*(-8 - 8*x) + 8*x^2 + 8*x^3 + 2*x^4 + E^(E^4 + E^x - x)*(-8*x^3 - 8*x^4 - 2*x^5 + E^(2/(2*x + x^2))*(-8*x^2 - 8*x^3 - 2*x^4) + E^x*(8*x^3 + 8*x^4 + 2*x^5 + E^(2/(2*x + x^2))*(8*x^2 + 8*x^3 + 2*x^4)))))/(4*x^2 + 4*x^3 + x^4),x]","e^{-\frac{2}{x+2}} \left(e^{\frac{1}{x+2}} x+e^{e^{-x+e^x+e^4}+\frac{1}{x+2}}+e^{\frac{1}{x}}\right)^2","\left(x+e^{e^{-x+e^x+e^4}}+e^{\frac{2}{x (x+2)}}\right)^2",1,"(E^x^(-1) + E^(E^(E^4 + E^x - x) + (2 + x)^(-1)) + E^(2 + x)^(-1)*x)^2/E^(2/(2 + x))","A",1
793,1,28,24,0.180891,"\int \frac{x^2-512 x^3+96 x^4-4 x^5+e^{2 x} \left(1-512 x+96 x^2-4 x^3\right)+e^x \left(1-3 x+1024 x^2-192 x^3+8 x^4\right)}{e^{2 x}-2 e^x x+x^2} \, dx","Integrate[(x^2 - 512*x^3 + 96*x^4 - 4*x^5 + E^(2*x)*(1 - 512*x + 96*x^2 - 4*x^3) + E^x*(1 - 3*x + 1024*x^2 - 192*x^3 + 8*x^4))/(E^(2*x) - 2*E^x*x + x^2),x]","-x^4+32 x^3-256 x^2+\frac{x}{e^x-x}+x","-(x-16)^2 x^2+\frac{x}{e^x-x}+x+4",1,"x + x/(E^x - x) - 256*x^2 + 32*x^3 - x^4","A",1
794,1,29,14,0.0033406,"\int \frac{1}{3} (-64-30 x+(-8-4 x) \log (x)) \, dx","Integrate[(-64 - 30*x + (-8 - 4*x)*Log[x])/3,x]","-\frac{14 x^2}{3}-\frac{2}{3} x^2 \log (x)-\frac{56 x}{3}-\frac{8}{3} x \log (x)","\frac{2}{3} (-x-4) x (\log (x)+7)",1,"(-56*x)/3 - (14*x^2)/3 - (8*x*Log[x])/3 - (2*x^2*Log[x])/3","B",1
795,1,21,24,1.1986276,"\int \frac{416+68 x-84 x^2+\left(-128-16 x+16 x^2\right) \log \left(8+x-x^2\right)}{-1352+247 x+189 x^2-56 x^3+4 x^4+\left(832-24 x-120 x^2+16 x^3\right) \log \left(8+x-x^2\right)+\left(-128-16 x+16 x^2\right) \log ^2\left(8+x-x^2\right)} \, dx","Integrate[(416 + 68*x - 84*x^2 + (-128 - 16*x + 16*x^2)*Log[8 + x - x^2])/(-1352 + 247*x + 189*x^2 - 56*x^3 + 4*x^4 + (832 - 24*x - 120*x^2 + 16*x^3)*Log[8 + x - x^2] + (-128 - 16*x + 16*x^2)*Log[8 + x - x^2]^2),x]","\frac{4 x}{4 \log \left(-x^2+x+8\right)+2 x-13}","\frac{x}{\log \left(-x^2+x+8\right)+\frac{x+3}{2}-\frac{19}{4}}",1,"(4*x)/(-13 + 2*x + 4*Log[8 + x - x^2])","A",1
796,1,29,23,0.3712626,"\int \frac{9-24 x-30 x^2+(5+9 x) \log (2 x)}{-x-10 x^2-6 x^3+\left(5 x+3 x^2\right) \log (2 x)} \, dx","Integrate[(9 - 24*x - 30*x^2 + (5 + 9*x)*Log[2*x])/(-x - 10*x^2 - 6*x^3 + (5*x + 3*x^2)*Log[2*x]),x]","2 \log \left(6 x^2+10 x-3 x \log (2 x)-5 \log (2 x)+1\right)+\log (x)","\log \left(x ((3 x+5) (2 x-\log (2 x))+1)^2\right)",1,"Log[x] + 2*Log[1 + 10*x + 6*x^2 - 5*Log[2*x] - 3*x*Log[2*x]]","A",1
797,1,32,33,0.4799137,"\int \frac{\exp \left(\frac{4 x^4}{4 e^{\frac{6 x}{10+2 \log (x)}} x^2-4 e^{\frac{3 x}{10+2 \log (x)}} x \log \left(\frac{1}{x}\right)+\log ^2\left(\frac{1}{x}\right)}\right) \left(-200 x^3-400 x^3 \log \left(\frac{1}{x}\right)+\left(-80 x^3-160 x^3 \log \left(\frac{1}{x}\right)\right) \log (x)+\left(-8 x^3-16 x^3 \log \left(\frac{1}{x}\right)\right) \log ^2(x)+e^{\frac{3 x}{10+2 \log (x)}} \left(400 x^4-96 x^5+\left(160 x^4-24 x^5\right) \log (x)+16 x^4 \log ^2(x)\right)\right)}{-25 \log ^3\left(\frac{1}{x}\right)-10 \log ^3\left(\frac{1}{x}\right) \log (x)-\log ^3\left(\frac{1}{x}\right) \log ^2(x)+e^{\frac{9 x}{10+2 \log (x)}} \left(200 x^3+80 x^3 \log (x)+8 x^3 \log ^2(x)\right)+e^{\frac{6 x}{10+2 \log (x)}} \left(-300 x^2 \log \left(\frac{1}{x}\right)-120 x^2 \log \left(\frac{1}{x}\right) \log (x)-12 x^2 \log \left(\frac{1}{x}\right) \log ^2(x)\right)+e^{\frac{3 x}{10+2 \log (x)}} \left(150 x \log ^2\left(\frac{1}{x}\right)+60 x \log ^2\left(\frac{1}{x}\right) \log (x)+6 x \log ^2\left(\frac{1}{x}\right) \log ^2(x)\right)} \, dx","Integrate[(E^((4*x^4)/(4*E^((6*x)/(10 + 2*Log[x]))*x^2 - 4*E^((3*x)/(10 + 2*Log[x]))*x*Log[x^(-1)] + Log[x^(-1)]^2))*(-200*x^3 - 400*x^3*Log[x^(-1)] + (-80*x^3 - 160*x^3*Log[x^(-1)])*Log[x] + (-8*x^3 - 16*x^3*Log[x^(-1)])*Log[x]^2 + E^((3*x)/(10 + 2*Log[x]))*(400*x^4 - 96*x^5 + (160*x^4 - 24*x^5)*Log[x] + 16*x^4*Log[x]^2)))/(-25*Log[x^(-1)]^3 - 10*Log[x^(-1)]^3*Log[x] - Log[x^(-1)]^3*Log[x]^2 + E^((9*x)/(10 + 2*Log[x]))*(200*x^3 + 80*x^3*Log[x] + 8*x^3*Log[x]^2) + E^((6*x)/(10 + 2*Log[x]))*(-300*x^2*Log[x^(-1)] - 120*x^2*Log[x^(-1)]*Log[x] - 12*x^2*Log[x^(-1)]*Log[x]^2) + E^((3*x)/(10 + 2*Log[x]))*(150*x*Log[x^(-1)]^2 + 60*x*Log[x^(-1)]^2*Log[x] + 6*x*Log[x^(-1)]^2*Log[x]^2)),x]","\exp \left(\frac{4 x^4}{\left(2 x e^{\frac{3 x}{2 (\log (x)+5)}}-\log \left(\frac{1}{x}\right)\right)^2}\right)","\exp \left(\frac{x^2}{\left(e^{\frac{3 x}{2 (\log (x)+5)}}-\frac{\log \left(\frac{1}{x}\right)}{2 x}\right)^2}\right)",1,"E^((4*x^4)/(2*E^((3*x)/(2*(5 + Log[x])))*x - Log[x^(-1)])^2)","A",1
798,1,51,36,0.0376899,"\int \frac{40-10 x-10 x \log \left(\frac{i \pi +\log \left(-8+2 e^2\right)}{x}\right)+5 x \log ^2\left(\frac{i \pi +\log \left(-8+2 e^2\right)}{x}\right)}{x \log ^2\left(\frac{i \pi +\log \left(-8+2 e^2\right)}{x}\right)} \, dx","Integrate[(40 - 10*x - 10*x*Log[(I*Pi + Log[-8 + 2*E^2])/x] + 5*x*Log[(I*Pi + Log[-8 + 2*E^2])/x]^2)/(x*Log[(I*Pi + Log[-8 + 2*E^2])/x]^2),x]","5 x-\frac{10 x}{\log \left(\frac{\log \left(2 e^2-8\right)+i \pi }{x}\right)}+\frac{40}{\log \left(\frac{\log \left(2 e^2-8\right)+i \pi }{x}\right)}","20+5 \left(x+\frac{2 (4-x)}{\log \left(\frac{\log \left(-2 \left(4-e^2\right)\right)+i \pi }{x}\right)}\right)",1,"5*x + 40/Log[(I*Pi + Log[-8 + 2*E^2])/x] - (10*x)/Log[(I*Pi + Log[-8 + 2*E^2])/x]","A",1
799,1,31,24,0.3381586,"\int \frac{16 x-4 e^x x+e^{2 x} x+\left(-112-128 x-16 x^2+e^{2 x} \left(-6-7 x-x^2\right)+e^x \left(52+60 x+8 x^2\right)\right) \log \left(\frac{-28-4 x+e^x (6+x)}{-4+e^x}\right)}{\left(112 x^3+16 x^4+e^x \left(-52 x^3-8 x^4\right)+e^{2 x} \left(6 x^3+x^4\right)\right) \log \left(\frac{-28-4 x+e^x (6+x)}{-4+e^x}\right)+\left(224 x^2+32 x^3+e^x \left(-104 x^2-16 x^3\right)+e^{2 x} \left(12 x^2+2 x^3\right)\right) \log \left(\frac{-28-4 x+e^x (6+x)}{-4+e^x}\right) \log \left(\frac{x}{\log \left(\frac{-28-4 x+e^x (6+x)}{-4+e^x}\right)}\right)+\left(112 x+16 x^2+e^x \left(-52 x-8 x^2\right)+e^{2 x} \left(6 x+x^2\right)\right) \log \left(\frac{-28-4 x+e^x (6+x)}{-4+e^x}\right) \log ^2\left(\frac{x}{\log \left(\frac{-28-4 x+e^x (6+x)}{-4+e^x}\right)}\right)} \, dx","Integrate[(16*x - 4*E^x*x + E^(2*x)*x + (-112 - 128*x - 16*x^2 + E^(2*x)*(-6 - 7*x - x^2) + E^x*(52 + 60*x + 8*x^2))*Log[(-28 - 4*x + E^x*(6 + x))/(-4 + E^x)])/((112*x^3 + 16*x^4 + E^x*(-52*x^3 - 8*x^4) + E^(2*x)*(6*x^3 + x^4))*Log[(-28 - 4*x + E^x*(6 + x))/(-4 + E^x)] + (224*x^2 + 32*x^3 + E^x*(-104*x^2 - 16*x^3) + E^(2*x)*(12*x^2 + 2*x^3))*Log[(-28 - 4*x + E^x*(6 + x))/(-4 + E^x)]*Log[x/Log[(-28 - 4*x + E^x*(6 + x))/(-4 + E^x)]] + (112*x + 16*x^2 + E^x*(-52*x - 8*x^2) + E^(2*x)*(6*x + x^2))*Log[(-28 - 4*x + E^x*(6 + x))/(-4 + E^x)]*Log[x/Log[(-28 - 4*x + E^x*(6 + x))/(-4 + E^x)]]^2),x]","\frac{1}{x+\log \left(\frac{x}{\log \left(\frac{e^x (x+6)-4 (x+7)}{e^x-4}\right)}\right)}","\frac{1}{x+\log \left(\frac{x}{\log \left(x+\frac{4}{4-e^x}+6\right)}\right)}",1,"(x + Log[x/Log[(E^x*(6 + x) - 4*(7 + x))/(-4 + E^x)]])^(-1)","A",1
800,1,42,23,0.108958,"\int \frac{100+250 x-37 x^2-3 x^3+e^x \left(-75 x+27 x^2+x^3\right)+\left(-25 x-2 x^2\right) \log (x)}{25 x} \, dx","Integrate[(100 + 250*x - 37*x^2 - 3*x^3 + E^x*(-75*x + 27*x^2 + x^3) + (-25*x - 2*x^2)*Log[x])/(25*x),x]","\frac{1}{25} \left(-x^3-18 x^2+e^x \left(x^2+25 x-100\right)+275 x-(x+25) x \log (x)+100 \log (x)\right)","\left(-\frac{x^2}{25}-x+4\right) \left(x-e^x+\log (x)-7\right)",1,"(275*x - 18*x^2 - x^3 + E^x*(-100 + 25*x + x^2) + 100*Log[x] - x*(25 + x)*Log[x])/25","A",1
801,1,22,17,0.0102591,"\int \frac{-8192+e^6+6144 x-1536 x^2+128 x^3}{-8192+6144 x-1536 x^2+128 x^3} \, dx","Integrate[(-8192 + E^6 + 6144*x - 1536*x^2 + 128*x^3)/(-8192 + 6144*x - 1536*x^2 + 128*x^3),x]","\frac{1}{128} \left(128 (x-4)-\frac{e^6}{2 (x-4)^2}\right)","x-\frac{e^6}{256 (4-x)^2}-4",1,"(-1/2*E^6/(-4 + x)^2 + 128*(-4 + x))/128","A",1
802,1,127,23,0.115563,"\int \frac{-20 x^5+120 x^9-160 x^{11}+60 x^{13}+e^{25} \left(-320+480 x^4-320 x^6+60 x^8\right)+e^{20} \left(-1280 x+480 x^3+1680 x^5-1400 x^7+300 x^9\right)+e^{15} \left(-1600 x^2+960 x^4+2400 x^6-2440 x^8+600 x^{10}\right)+e^{10} \left(-880 x^3+600 x^5+1800 x^7-2120 x^9+600 x^{11}\right)+e^5 \left(-220 x^4+120 x^6+720 x^8-920 x^{10}+300 x^{12}\right)}{e^{25} x^3+5 e^{20} x^4+10 e^{15} x^5+10 e^{10} x^6+5 e^5 x^7+x^8} \, dx","Integrate[(-20*x^5 + 120*x^9 - 160*x^11 + 60*x^13 + E^25*(-320 + 480*x^4 - 320*x^6 + 60*x^8) + E^20*(-1280*x + 480*x^3 + 1680*x^5 - 1400*x^7 + 300*x^9) + E^15*(-1600*x^2 + 960*x^4 + 2400*x^6 - 2440*x^8 + 600*x^10) + E^10*(-880*x^3 + 600*x^5 + 1800*x^7 - 2120*x^9 + 600*x^11) + E^5*(-220*x^4 + 120*x^6 + 720*x^8 - 920*x^10 + 300*x^12))/(E^25*x^3 + 5*E^20*x^4 + 10*E^15*x^5 + 10*E^10*x^6 + 5*E^5*x^7 + x^8),x]","10 \left(x^6-4 x^4-4 e^5 x^3+2 \left(3+2 e^{10}\right) x^2+\frac{16}{x^2}-4 e^5 \left(e^{10}-3\right) x-\frac{4 \left(-8+3 e^{10}+e^{30}\right)}{e^5 \left(x+e^5\right)}+\frac{17-12 e^{10}+6 e^{20}}{\left(x+e^5\right)^2}+\frac{6 e^5-4 e^{15}}{\left(x+e^5\right)^3}+\frac{e^{10}}{\left(x+e^5\right)^4}-\frac{32}{e^5 x}\right)","\frac{10 \left(x^2+\frac{x}{x+e^5}-2\right)^4}{x^2}+4",1,"10*(16/x^2 - 32/(E^5*x) - 4*E^5*(-3 + E^10)*x + 2*(3 + 2*E^10)*x^2 - 4*E^5*x^3 - 4*x^4 + x^6 + E^10/(E^5 + x)^4 + (6*E^5 - 4*E^15)/(E^5 + x)^3 + (17 - 12*E^10 + 6*E^20)/(E^5 + x)^2 - (4*(-8 + 3*E^10 + E^30))/(E^5*(E^5 + x)))","B",1
803,1,13,19,0.0024303,"\int \frac{81-12920 x+16038 x^2}{81 x} \, dx","Integrate[(81 - 12920*x + 16038*x^2)/(81*x),x]","99 x^2-\frac{12920 x}{81}+\log (x)","-x^2+4 \left(5 x-\frac{323}{81}\right)^2+\log (x)",1,"(-12920*x)/81 + 99*x^2 + Log[x]","A",1
804,1,23,25,0.029719,"\int \frac{25+e^2 (1-5 x)-125 x+e (-10+50 x)+\left(-50 x+20 e x-2 e^2 x\right) \log (4 x)}{9 x^3-6 x^2 \log (x)+x \log ^2(x)+\left(12 x^3-4 x^2 \log (x)\right) \log (4 x)+4 x^3 \log ^2(4 x)} \, dx","Integrate[(25 + E^2*(1 - 5*x) - 125*x + E*(-10 + 50*x) + (-50*x + 20*E*x - 2*E^2*x)*Log[4*x])/(9*x^3 - 6*x^2*Log[x] + x*Log[x]^2 + (12*x^3 - 4*x^2*Log[x])*Log[4*x] + 4*x^3*Log[4*x]^2),x]","-\frac{(e-5)^2}{\log (x)-x (2 \log (4 x)+3)}","\frac{(5-e)^2}{3 x+2 x \log (4 x)-\log (x)}",1,"-((-5 + E)^2/(Log[x] - x*(3 + 2*Log[4*x])))","A",1
805,1,29,23,0.2769675,"\int \exp \left(-2 x+e^{-2 x} \left(25 x^2+e^x \left(-10 x^2-10 x^3-10 e^4 x^3\right)+e^{2 x} \left(x^2+2 x^3+x^4+e^8 x^4+e^4 \left(2 x^3+2 x^4\right)\right)\right)\right) \left(50 x-50 x^2+e^{2 x} \left(2 x+6 x^2+4 x^3+4 e^8 x^3+e^4 \left(6 x^2+8 x^3\right)\right)+e^x \left(-20 x-20 x^2+10 x^3+e^4 \left(-30 x^2+10 x^3\right)\right)\right) \, dx","Integrate[E^(-2*x + (25*x^2 + E^x*(-10*x^2 - 10*x^3 - 10*E^4*x^3) + E^(2*x)*(x^2 + 2*x^3 + x^4 + E^8*x^4 + E^4*(2*x^3 + 2*x^4)))/E^(2*x))*(50*x - 50*x^2 + E^(2*x)*(2*x + 6*x^2 + 4*x^3 + 4*E^8*x^3 + E^4*(6*x^2 + 8*x^3)) + E^x*(-20*x - 20*x^2 + 10*x^3 + E^4*(-30*x^2 + 10*x^3))),x]","\exp \left(e^{-2 x} x^2 \left(e^{x+4} x+e^x (x+1)-5\right)^2\right)","e^{x^2 \left(e^4 x+x-5 e^{-x}+1\right)^2}",1,"E^((x^2*(-5 + E^(4 + x)*x + E^x*(1 + x))^2)/E^(2*x))","A",1
806,0,0,33,8.6449871,"\int \frac{-1+2 e^{2 x}-e^{4 x}+\exp \left(\frac{-1-x+x^2-\log (3)-\log (4)+e^{2 x} \left(4+x-x^2+\log (4)\right)}{-1+e^{2 x}}\right) \left(x-2 x^2+e^{4 x} \left(x-2 x^2\right)+e^{2 x} \left(-8 x+4 x^2+2 x \log (3)\right)\right)}{x-2 e^{2 x} x+e^{4 x} x} \, dx","Integrate[(-1 + 2*E^(2*x) - E^(4*x) + E^((-1 - x + x^2 - Log[3] - Log[4] + E^(2*x)*(4 + x - x^2 + Log[4]))/(-1 + E^(2*x)))*(x - 2*x^2 + E^(4*x)*(x - 2*x^2) + E^(2*x)*(-8*x + 4*x^2 + 2*x*Log[3])))/(x - 2*E^(2*x)*x + E^(4*x)*x),x]","\int \frac{-1+2 e^{2 x}-e^{4 x}+\exp \left(\frac{-1-x+x^2-\log (3)-\log (4)+e^{2 x} \left(4+x-x^2+\log (4)\right)}{-1+e^{2 x}}\right) \left(x-2 x^2+e^{4 x} \left(x-2 x^2\right)+e^{2 x} \left(-8 x+4 x^2+2 x \log (3)\right)\right)}{x-2 e^{2 x} x+e^{4 x} x} \, dx","4 e^{-x^2+x+\frac{3-\log (3)}{e^{2 x}-1}+4}-\log (x)",1,"Integrate[(-1 + 2*E^(2*x) - E^(4*x) + E^((-1 - x + x^2 - Log[3] - Log[4] + E^(2*x)*(4 + x - x^2 + Log[4]))/(-1 + E^(2*x)))*(x - 2*x^2 + E^(4*x)*(x - 2*x^2) + E^(2*x)*(-8*x + 4*x^2 + 2*x*Log[3])))/(x - 2*E^(2*x)*x + E^(4*x)*x), x]","F",-1
807,1,31,32,0.3834624,"\int \frac{4 x^3+e^x \left(2 x^3-4 x^4\right)+e^{2 e^{e^4}+2 x^2} \left(4-8 x^2+e^x \left(2+2 x-4 x^2\right)\right)}{8 x^3+12 e^x x^3+6 e^{2 x} x^3+e^{3 x} x^3} \, dx","Integrate[(4*x^3 + E^x*(2*x^3 - 4*x^4) + E^(2*E^E^4 + 2*x^2)*(4 - 8*x^2 + E^x*(2 + 2*x - 4*x^2)))/(8*x^3 + 12*E^x*x^3 + 6*E^(2*x)*x^3 + E^(3*x)*x^3),x]","-\frac{e^{2 \left(x^2+e^{e^4}\right)}-2 x^3}{\left(e^x+2\right)^2 x^2}","\frac{2 x-\frac{e^{2 x^2+2 e^{e^4}}}{x^2}}{\left(e^x+2\right)^2}",1,"-((E^(2*(E^E^4 + x^2)) - 2*x^3)/((2 + E^x)^2*x^2))","A",1
808,1,14,15,0.0517229,"\int \frac{1+x \log (4)-8 x \log (4) \log \left(\frac{1+x \log (4)}{\log (4)}\right)+(-4-4 x \log (4)) \log ^2\left(\frac{1+x \log (4)}{\log (4)}\right)}{1+x \log (4)} \, dx","Integrate[(1 + x*Log[4] - 8*x*Log[4]*Log[(1 + x*Log[4])/Log[4]] + (-4 - 4*x*Log[4])*Log[(1 + x*Log[4])/Log[4]]^2)/(1 + x*Log[4]),x]","x-4 x \log ^2\left(x+\frac{1}{\log (4)}\right)","x-4 x \log ^2\left(x+\frac{1}{\log (4)}\right)+4",1,"x - 4*x*Log[x + Log[4]^(-1)]^2","A",1
809,1,41,30,0.2224253,"\int \frac{-156-65 x+e^{2 x/3} (-36+12 x)+e^{x/3} \left(-150-6 x+10 x^2\right)+\left(25+e^{x/3} (12-2 x)+5 x\right) \log (x)-\log ^2(x)}{2 x^3} \, dx","Integrate[(-156 - 65*x + E^((2*x)/3)*(-36 + 12*x) + E^(x/3)*(-150 - 6*x + 10*x^2) + (25 + E^(x/3)*(12 - 2*x) + 5*x)*Log[x] - Log[x]^2)/(2*x^3),x]","\frac{\left(6 \left(e^{x/3}+2\right)-\log (x)\right) \left(10 x+6 e^{x/3}-\log (x)+12\right)}{4 x^2}","\frac{\left(6 \left(\frac{5 x}{6}+e^{x/3}+2\right)-\log (x)\right)^2}{4 x^2}",1,"((6*(2 + E^(x/3)) - Log[x])*(12 + 6*E^(x/3) + 10*x - Log[x]))/(4*x^2)","A",1
810,1,65,26,0.264213,"\int \frac{e^2 \left(16 x^6+4 x^7\right)+e^2 \left(28 x^6+6 x^7\right) \log (x)+e^2 \left(-32 x^6-12 x^7\right) \log ^2(x)+e^2 \left(-104 x^6-32 x^7\right) \log ^3(x)+e^2 \left(-80 x^6-24 x^7\right) \log ^4(x)+\left(-4+e^2 \left(-20 x^6-6 x^7\right)\right) \log ^5(x)}{e^2 x^2 \log ^5(x)} \, dx","Integrate[(E^2*(16*x^6 + 4*x^7) + E^2*(28*x^6 + 6*x^7)*Log[x] + E^2*(-32*x^6 - 12*x^7)*Log[x]^2 + E^2*(-104*x^6 - 32*x^7)*Log[x]^3 + E^2*(-80*x^6 - 24*x^7)*Log[x]^4 + (-4 + E^2*(-20*x^6 - 6*x^7))*Log[x]^5)/(E^2*x^2*Log[x]^5),x]","-\left((x+4) x^5\right)-\frac{(x+4) x^5}{\log ^4(x)}-\frac{4 (x+4) x^5}{\log ^3(x)}-\frac{6 (x+4) x^5}{\log ^2(x)}-\frac{4 (x+4) x^5}{\log (x)}+\frac{4}{e^2 x}","\frac{(x+4) \left(\frac{1}{e^2}-x^2 \left(x+\frac{x}{\log (x)}\right)^4\right)}{x}",1,"4/(E^2*x) - x^5*(4 + x) - (x^5*(4 + x))/Log[x]^4 - (4*x^5*(4 + x))/Log[x]^3 - (6*x^5*(4 + x))/Log[x]^2 - (4*x^5*(4 + x))/Log[x]","B",1
811,1,15,15,0.0026702,"\int e^{-32 x} \left(-64-16 \log \left(\frac{16}{9}\right)\right) \, dx","Integrate[(-64 - 16*Log[16/9])/E^(32*x),x]","\frac{1}{2} e^{-32 x} \left(4+\log \left(\frac{16}{9}\right)\right)","\frac{1}{2} e^{-32 x} \left(4+\log \left(\frac{16}{9}\right)\right)",1,"(4 + Log[16/9])/(2*E^(32*x))","A",1
812,1,70,19,0.0315024,"\int \frac{16-24 x^3+\left(4-6 x^3\right) \log \left(\frac{3}{4} e^{-x^3} x^2\right)}{x} \, dx","Integrate[(16 - 24*x^3 + (4 - 6*x^3)*Log[(3*x^2)/(4*E^x^3)])/x,x]","-x^6-8 x^3+\log ^2\left(x^2\right)-2 x^3 \log \left(\frac{3}{4} e^{-x^3} x^2\right)+4 \log (x) \left(x^3-\log \left(x^2\right)+\log \left(\frac{3}{4} e^{-x^3} x^2\right)\right)+16 \log (x)","\left(\log \left(\frac{3}{4} e^{-x^3} x^2\right)+4\right)^2",1,"-8*x^3 - x^6 + 16*Log[x] + Log[x^2]^2 - 2*x^3*Log[(3*x^2)/(4*E^x^3)] + 4*Log[x]*(x^3 - Log[x^2] + Log[(3*x^2)/(4*E^x^3)])","B",1
813,1,29,27,5.1604007,"\int \frac{\exp \left(\frac{2 \left(-x^2+(x+e x) \log (x)\right)}{1+e}+e^{\frac{2 \left(-x^2+(x+e x) \log (x)\right)}{1+e}} x \log ^2(\log (2))\right) \left(-1+e (-1-2 x)-2 x+4 x^2+(-2 x-2 e x) \log (x)\right) \log ^2(\log (2))}{1+e} \, dx","Integrate[(E^((2*(-x^2 + (x + E*x)*Log[x]))/(1 + E) + E^((2*(-x^2 + (x + E*x)*Log[x]))/(1 + E))*x*Log[Log[2]]^2)*(-1 + E*(-1 - 2*x) - 2*x + 4*x^2 + (-2*x - 2*E*x)*Log[x])*Log[Log[2]]^2)/(1 + E),x]","-e^{e^{-\frac{2 x^2}{1+e}} x^{2 x+1} \log ^2(\log (2))}","-e^{x \log ^2(\log (2)) e^{2 x \left(\log (x)-\frac{x}{1+e}\right)}}",1,"-E^((x^(1 + 2*x)*Log[Log[2]]^2)/E^((2*x^2)/(1 + E)))","A",1
814,1,59,24,0.0778701,"\int \frac{-192+368 x-116 x^2-28 x^3+21 x^4-3 x^5+\left(336-160 x+28 x^2-4 x^3\right) \log (-3+x)}{-48+64 x-28 x^2+4 x^3} \, dx","Integrate[(-192 + 368*x - 116*x^2 - 28*x^3 + 21*x^4 - 3*x^5 + (336 - 160*x + 28*x^2 - 4*x^3)*Log[-3 + x])/(-48 + 64*x - 28*x^2 + 4*x^3),x]","\frac{1}{4} \left(-x^3+24 x-96 \log (2-x)+84 \log (3-x)-4 (x-3) \log (x-3)+\frac{96 (\log (x-3)+1)}{x-2}-192 \tanh ^{-1}(5-2 x)\right)","\left(\frac{24}{x-2}-x\right) \left(\frac{x^2}{4}+\log (x-3)\right)",1,"(24*x - x^3 - 192*ArcTanh[5 - 2*x] - 96*Log[2 - x] + 84*Log[3 - x] - 4*(-3 + x)*Log[-3 + x] + (96*(1 + Log[-3 + x]))/(-2 + x))/4","B",1
815,1,25,29,0.0739965,"\int \frac{-9 e^{-15+3 x} x^2+e^{\frac{-e+x+x^2}{x}} \left(e+x^2\right)}{3 x^2} \, dx","Integrate[(-9*E^(-15 + 3*x)*x^2 + E^((-E + x + x^2)/x)*(E + x^2))/(3*x^2),x]","\frac{1}{3} e^{x-\frac{e}{x}+1}-e^{3 x-15}","\frac{1}{3} e^{\frac{x^2+x-e}{x}}-e^{3 (x-5)}-8",1,"E^(1 - E/x + x)/3 - E^(-15 + 3*x)","A",1
816,1,197,28,0.091979,"\int \frac{\left(-780+320 x-32 x^2\right) \log \left(\frac{6400-2560 x+256 x^2}{e^3 \left(114075 x^2-46800 x^3+4800 x^4\right)}\right)}{195 x-79 x^2+8 x^3} \, dx","Integrate[((-780 + 320*x - 32*x^2)*Log[(6400 - 2560*x + 256*x^2)/(E^3*(114075*x^2 - 46800*x^3 + 4800*x^4))])/(195*x - 79*x^2 + 8*x^3),x]","-4 \left(2 \text{Li}_2(40-8 x)+2 \text{Li}_2\left(1-\frac{x}{5}\right)+2 \text{Li}_2\left(\frac{x}{5}\right)+2 \text{Li}_2(8 x-39)-\left(\log \left(\frac{(x-5)^2}{x^2 (8 x-39)^2}\right)-3+\log \left(\frac{256}{75}\right)\right) \log (5-x)+\log (x) \left(\log \left(\frac{(x-5)^2}{x^2 (8 x-39)^2}\right)-3+\log \left(\frac{256}{75}\right)\right)+\left(\log \left(\frac{(x-5)^2}{x^2 (8 x-39)^2}\right)-3+\log \left(\frac{256}{75}\right)\right) \log (8 x-39)+\log ^2(5-x)+\log ^2(x)+\log ^2(8 x-39)-2 \log (5) \log (x-5)-2 \log (5) \log (x)+2 \log \left(\frac{8 x}{39}\right) \log (8 x-39)+\log (64) \log (8 x-39)+2 \log \left(\frac{39}{8}\right) \log (8 x-39)\right)","\log ^2\left(\frac{4}{3 e^3 \left(5-\frac{5}{8 (5-x)}\right)^2 x^2}\right)",1,"-4*(Log[5 - x]^2 - 2*Log[5]*Log[-5 + x] - 2*Log[5]*Log[x] + Log[x]^2 - Log[5 - x]*(-3 + Log[256/75] + Log[(-5 + x)^2/(x^2*(-39 + 8*x)^2)]) + Log[x]*(-3 + Log[256/75] + Log[(-5 + x)^2/(x^2*(-39 + 8*x)^2)]) + 2*Log[39/8]*Log[-39 + 8*x] + Log[64]*Log[-39 + 8*x] + 2*Log[(8*x)/39]*Log[-39 + 8*x] + (-3 + Log[256/75] + Log[(-5 + x)^2/(x^2*(-39 + 8*x)^2)])*Log[-39 + 8*x] + Log[-39 + 8*x]^2 + 2*PolyLog[2, 40 - 8*x] + 2*PolyLog[2, 1 - x/5] + 2*PolyLog[2, x/5] + 2*PolyLog[2, -39 + 8*x])","C",1
817,1,19,17,0.0182927,"\int \frac{-300+25 e^3-200 x}{144 x^2+e^6 x^2+96 x^3+16 x^4+e^3 \left(-24 x^2-8 x^3\right)} \, dx","Integrate[(-300 + 25*E^3 - 200*x)/(144*x^2 + E^6*x^2 + 96*x^3 + 16*x^4 + E^3*(-24*x^2 - 8*x^3)),x]","\frac{25}{4 x^2-e^3 x+12 x}","\frac{25}{x \left(4 x-e^3+12\right)}",1,"25/(12*x - E^3*x + 4*x^2)","A",1
818,1,21,27,0.0436324,"\int \frac{1}{2} \left(2+4 x+3 x^2+e^{-5 x+x^2} (-10+4 x)\right) \, dx","Integrate[(2 + 4*x + 3*x^2 + E^(-5*x + x^2)*(-10 + 4*x))/2,x]","\frac{x^3}{2}+x^2+e^{x^2-5 x}+x","\frac{1}{2} (x+2) x^2+x+e^{(2-x)^2-x-4}+1",1,"E^(-5*x + x^2) + x + x^2 + x^3/2","A",1
819,0,0,27,0.5090501,"\int \frac{10 x-3 e^{2 x} x-6 e^x x^3-3 x^5+\left(e^{3 x} (6+12 x)+e^{2 x} \left(36 x^2+12 x^3\right)+e^x \left(-20+30 x^4\right)\right) \log \left(10 x-3 e^{2 x} x-6 e^x x^3-3 x^5\right)+\left(3 e^{3 x} x+6 e^{2 x} x^3+e^x \left(-10 x+3 x^5\right)\right) \log ^2\left(10 x-3 e^{2 x} x-6 e^x x^3-3 x^5\right)}{-10 x+3 e^{2 x} x+6 e^x x^3+3 x^5} \, dx","Integrate[(10*x - 3*E^(2*x)*x - 6*E^x*x^3 - 3*x^5 + (E^(3*x)*(6 + 12*x) + E^(2*x)*(36*x^2 + 12*x^3) + E^x*(-20 + 30*x^4))*Log[10*x - 3*E^(2*x)*x - 6*E^x*x^3 - 3*x^5] + (3*E^(3*x)*x + 6*E^(2*x)*x^3 + E^x*(-10*x + 3*x^5))*Log[10*x - 3*E^(2*x)*x - 6*E^x*x^3 - 3*x^5]^2)/(-10*x + 3*E^(2*x)*x + 6*E^x*x^3 + 3*x^5),x]","\int \frac{10 x-3 e^{2 x} x-6 e^x x^3-3 x^5+\left(e^{3 x} (6+12 x)+e^{2 x} \left(36 x^2+12 x^3\right)+e^x \left(-20+30 x^4\right)\right) \log \left(10 x-3 e^{2 x} x-6 e^x x^3-3 x^5\right)+\left(3 e^{3 x} x+6 e^{2 x} x^3+e^x \left(-10 x+3 x^5\right)\right) \log ^2\left(10 x-3 e^{2 x} x-6 e^x x^3-3 x^5\right)}{-10 x+3 e^{2 x} x+6 e^x x^3+3 x^5} \, dx","e^x \log ^2\left(x-3 x \left(\left(x^2+e^x\right)^2-3\right)\right)-x",1,"Integrate[(10*x - 3*E^(2*x)*x - 6*E^x*x^3 - 3*x^5 + (E^(3*x)*(6 + 12*x) + E^(2*x)*(36*x^2 + 12*x^3) + E^x*(-20 + 30*x^4))*Log[10*x - 3*E^(2*x)*x - 6*E^x*x^3 - 3*x^5] + (3*E^(3*x)*x + 6*E^(2*x)*x^3 + E^x*(-10*x + 3*x^5))*Log[10*x - 3*E^(2*x)*x - 6*E^x*x^3 - 3*x^5]^2)/(-10*x + 3*E^(2*x)*x + 6*E^x*x^3 + 3*x^5), x]","F",-1
820,1,22,25,0.0700004,"\int \frac{347-273 x-59 x^2+x^3+\left(-63+64 x-x^2\right) \log (4-4 x)+\left(80-64 x-16 x^2+(-16+16 x) \log (4-4 x)\right) \log (-5-x+\log (4-4 x))}{320-261 x-60 x^2+x^3+\left(-64+65 x-x^2\right) \log (4-4 x)+\left(80-64 x-16 x^2+(-16+16 x) \log (4-4 x)\right) \log (-5-x+\log (4-4 x))} \, dx","Integrate[(347 - 273*x - 59*x^2 + x^3 + (-63 + 64*x - x^2)*Log[4 - 4*x] + (80 - 64*x - 16*x^2 + (-16 + 16*x)*Log[4 - 4*x])*Log[-5 - x + Log[4 - 4*x]])/(320 - 261*x - 60*x^2 + x^3 + (-64 + 65*x - x^2)*Log[4 - 4*x] + (80 - 64*x - 16*x^2 + (-16 + 16*x)*Log[4 - 4*x])*Log[-5 - x + Log[4 - 4*x]]),x]","x+\log (-x+16 \log (-x+\log (4-4 x)-5)+64)","\log \left(e^x (x-16 (\log (-x+\log (4 (1-x))-5)+4))\right)",1,"x + Log[64 - x + 16*Log[-5 - x + Log[4 - 4*x]]]","A",1
821,1,37,34,0.2562714,"\int \frac{384-44 x+5 x^2+(96-15 x) \log (4)+\left(384-40 x+5 x^2+(96-10 x) \log (4)\right) \log (x)+(80+20 \log (4)) \log ^2(x)}{\left(256-128 x+16 x^2+(128-32 x) \log (4)+16 \log ^2(4)\right) \log (5)+\left(256-128 x+16 x^2+(128-32 x) \log (4)+16 \log ^2(4)\right) \log (5) \log (x)+\left(64-32 x+4 x^2+(32-8 x) \log (4)+4 \log ^2(4)\right) \log (5) \log ^2(x)} \, dx","Integrate[(384 - 44*x + 5*x^2 + (96 - 15*x)*Log[4] + (384 - 40*x + 5*x^2 + (96 - 10*x)*Log[4])*Log[x] + (80 + 20*Log[4])*Log[x]^2)/((256 - 128*x + 16*x^2 + (128 - 32*x)*Log[4] + 16*Log[4]^2)*Log[5] + (256 - 128*x + 16*x^2 + (128 - 32*x)*Log[4] + 16*Log[4]^2)*Log[5]*Log[x] + (64 - 32*x + 4*x^2 + (32 - 8*x)*Log[4] + 4*Log[4]^2)*Log[5]*Log[x]^2),x]","\frac{\frac{x (5 x-16)}{\log (x)+2}-20 (4+\log (4))}{4 \log (5) (x-4-\log (4))}","\frac{\frac{4-\frac{5 x}{4}}{\log (x)+2}+5}{\frac{(4+\log (4)) \log (5)}{x}-\log (5)}",1,"(-20*(4 + Log[4]) + (x*(-16 + 5*x))/(2 + Log[x]))/(4*(-4 + x - Log[4])*Log[5])","A",1
822,1,49,33,0.0908092,"\int e^{-e^{2 x}-x^2} \left(1+2 x+e^{e^{2 x}+x^2} x-2 x^3+e^5 \left(1-2 x^2\right)+e^{2 x} \left(-2 e^5 x-2 x^2\right)+\left(1-2 e^{2 x} x-2 x^2\right) \log (4 x)\right) \, dx","Integrate[E^(-E^(2*x) - x^2)*(1 + 2*x + E^(E^(2*x) + x^2)*x - 2*x^3 + E^5*(1 - 2*x^2) + E^(2*x)*(-2*E^5*x - 2*x^2) + (1 - 2*E^(2*x)*x - 2*x^2)*Log[4*x]),x]","\frac{x^2}{2}+e^{-e^{2 x}} \left(e^{-x^2} \left(x^2+e^5 x\right)+e^{-x^2} x \log (4 x)\right)","x \left(e^{-x^2-e^{2 x}} \left(x+\log (4 x)+e^5\right)+\frac{x}{2}\right)",1,"x^2/2 + ((E^5*x + x^2)/E^x^2 + (x*Log[4*x])/E^x^2)/E^E^(2*x)","A",1
823,1,27,28,0.1694002,"\int \frac{1}{25} \exp \left(16 x^6-32 x^7+16 x^8+e^{10} \left(x^2-2 x^3+x^4\right)+e^{15/2} \left(-8 x^3+16 x^4-8 x^5\right)+e^5 \left(24 x^4-48 x^5+24 x^6\right)+e^{5/2} \left(-32 x^5+64 x^6-32 x^7\right)\right) \left(1+96 x^6-224 x^7+128 x^8+e^{10} \left(2 x^2-6 x^3+4 x^4\right)+e^{15/2} \left(-24 x^3+64 x^4-40 x^5\right)+e^5 \left(96 x^4-240 x^5+144 x^6\right)+e^{5/2} \left(-160 x^5+384 x^6-224 x^7\right)\right) \, dx","Integrate[(E^(16*x^6 - 32*x^7 + 16*x^8 + E^10*(x^2 - 2*x^3 + x^4) + E^(15/2)*(-8*x^3 + 16*x^4 - 8*x^5) + E^5*(24*x^4 - 48*x^5 + 24*x^6) + E^(5/2)*(-32*x^5 + 64*x^6 - 32*x^7))*(1 + 96*x^6 - 224*x^7 + 128*x^8 + E^10*(2*x^2 - 6*x^3 + 4*x^4) + E^(15/2)*(-24*x^3 + 64*x^4 - 40*x^5) + E^5*(96*x^4 - 240*x^5 + 144*x^6) + E^(5/2)*(-160*x^5 + 384*x^6 - 224*x^7)))/25,x]","\frac{1}{25} e^{\left(e^{5/2}-2 x\right)^4 (x-1)^2 x^2} x","\frac{1}{25} e^{\left(e^{5/2}-2 x\right)^4 \left(x^2-x\right)^2} x",1,"(E^((E^(5/2) - 2*x)^4*(-1 + x)^2*x^2)*x)/25","A",1
824,1,10,17,0.0013742,"\int \frac{40+5 x}{24 x} \, dx","Integrate[(40 + 5*x)/(24*x),x]","\frac{5}{24} (x+8 \log (x))","\frac{5 x}{24}+\frac{5}{3} \log \left(\frac{x}{3}\right)-2",1,"(5*(x + 8*Log[x]))/24","A",1
825,1,15,19,0.0128823,"\int \frac{-432-144 x-864 x^2}{x^3+6 x^4+9 x^5+\left(6 x^2+18 x^3\right) \log (x)+9 x \log ^2(x)} \, dx","Integrate[(-432 - 144*x - 864*x^2)/(x^3 + 6*x^4 + 9*x^5 + (6*x^2 + 18*x^3)*Log[x] + 9*x*Log[x]^2),x]","\frac{144}{3 x^2+x+3 \log (x)}","\frac{144}{x \left(3 \left(x+\frac{\log (x)}{x}\right)+1\right)}",1,"144/(x + 3*x^2 + 3*Log[x])","A",1
826,1,16,24,0.0093314,"\int \left(e^{\frac{1}{2} (3+2 x)} (-3-3 x)+6 x\right) \, dx","Integrate[E^((3 + 2*x)/2)*(-3 - 3*x) + 6*x,x]","3 x^2-3 e^{x+\frac{3}{2}} x","3 x \left(x-e^{\frac{x \left(x+\frac{7}{2}\right)-2 x}{x}}\right)",1,"-3*E^(3/2 + x)*x + 3*x^2","A",1
827,1,81,26,0.0736929,"\int \frac{e^{15} (250-1000 x)+e^{20} \left(-x+4 x^2\right)+\left(e^{10} (127500-10000 x)-500 e^{15} x\right) \log \left(x^2\right)+\left(1875000 e^5-2500 e^{10} x\right) \log ^2\left(x^2\right)+6250000 \log ^3\left(x^2\right)}{32 e^{20} x} \, dx","Integrate[(E^15*(250 - 1000*x) + E^20*(-x + 4*x^2) + (E^10*(127500 - 10000*x) - 500*E^15*x)*Log[x^2] + (1875000*E^5 - 2500*E^10*x)*Log[x^2]^2 + 6250000*Log[x^2]^3)/(32*E^20*x),x]","\frac{2 e^{20} x^2+781250 \log ^4\left(x^2\right)+312500 e^5 \log ^3\left(x^2\right)-2500 e^{10} x \log ^2\left(x^2\right)+31875 e^{10} \log ^2\left(x^2\right)-500 e^{15} x \log \left(x^2\right)-e^{20} x+250 e^{15} \log (x)}{32 e^{20}}","\frac{1}{16} \left(-\left(\frac{25 \log \left(x^2\right)}{e^5}+\frac{5}{2}\right)^2+x+6\right)^2",1,"(-(E^20*x) + 2*E^20*x^2 + 250*E^15*Log[x] - 500*E^15*x*Log[x^2] + 31875*E^10*Log[x^2]^2 - 2500*E^10*x*Log[x^2]^2 + 312500*E^5*Log[x^2]^3 + 781250*Log[x^2]^4)/(32*E^20)","B",1
828,1,86,30,0.7238537,"\int \frac{1}{16} \left(27 x^2+360 x^3+3045 x^4+14976 x^5+51520 x^6+114432 x^7+160992 x^8+143360 x^9+78848 x^{10}+24576 x^{11}+3328 x^{12}+e^{16 x} \left(5 x^4+16 x^5\right)+e^{14 x} \left(-80 x^4-320 x^5-224 x^6\right)+e^{12 x} \left(560 x^4+2688 x^5+3472 x^6+1344 x^7\right)+e^{10 x} \left(-2240 x^4-12544 x^5-22848 x^6-17024 x^7-4480 x^8\right)+e^{8 x} \left(24 x^3+5638 x^4+35824 x^5+82880 x^6+89600 x^7+45920 x^8+8960 x^9\right)+e^{6 x} \left(-192 x^3-9408 x^4-64608 x^5-179104 x^6-250880 x^7-188160 x^8-71680 x^9-10752 x^{10}\right)+e^{4 x} \left(576 x^3+10736 x^4+72928 x^5+231024 x^6+394048 x^7+385280 x^8+215040 x^9+62720 x^{10}+7168 x^{11}\right)+e^{2 x} \left(-768 x^3-8064 x^4-48384 x^5-165632 x^6-329216 x^7-394112 x^8-286720 x^9-121856 x^{10}-26624 x^{11}-2048 x^{12}\right)\right) \, dx","Integrate[(27*x^2 + 360*x^3 + 3045*x^4 + 14976*x^5 + 51520*x^6 + 114432*x^7 + 160992*x^8 + 143360*x^9 + 78848*x^10 + 24576*x^11 + 3328*x^12 + E^(16*x)*(5*x^4 + 16*x^5) + E^(14*x)*(-80*x^4 - 320*x^5 - 224*x^6) + E^(12*x)*(560*x^4 + 2688*x^5 + 3472*x^6 + 1344*x^7) + E^(10*x)*(-2240*x^4 - 12544*x^5 - 22848*x^6 - 17024*x^7 - 4480*x^8) + E^(8*x)*(24*x^3 + 5638*x^4 + 35824*x^5 + 82880*x^6 + 89600*x^7 + 45920*x^8 + 8960*x^9) + E^(6*x)*(-192*x^3 - 9408*x^4 - 64608*x^5 - 179104*x^6 - 250880*x^7 - 188160*x^8 - 71680*x^9 - 10752*x^10) + E^(4*x)*(576*x^3 + 10736*x^4 + 72928*x^5 + 231024*x^6 + 394048*x^7 + 385280*x^8 + 215040*x^9 + 62720*x^10 + 7168*x^11) + E^(2*x)*(-768*x^3 - 8064*x^4 - 48384*x^5 - 165632*x^6 - 329216*x^7 - 394112*x^8 - 286720*x^9 - 121856*x^10 - 26624*x^11 - 2048*x^12))/16,x]","\frac{1}{16} x^3 \left(16 x^5-32 \left(e^{2 x}-2\right) x^4+24 \left(e^{2 x}-2\right)^2 x^3-8 \left(e^{2 x}-2\right)^3 x^2+\left(-32 e^{2 x}+24 e^{4 x}-8 e^{6 x}+e^{8 x}+15\right) x+3\right)^2","\frac{1}{16} x^3 \left(x \left(2 x-e^{2 x}+2\right)^4-x+3\right)^2",1,"(x^3*(3 + (15 - 32*E^(2*x) + 24*E^(4*x) - 8*E^(6*x) + E^(8*x))*x - 8*(-2 + E^(2*x))^3*x^2 + 24*(-2 + E^(2*x))^2*x^3 - 32*(-2 + E^(2*x))*x^4 + 16*x^5)^2)/16","B",1
829,1,19,24,0.0325984,"\int \frac{-906+1328 x-438 x^2+16 x^3+\left(144-150 x+6 x^2\right) \log (-24+x)+\left(-906+422 x-16 x^2+(144-6 x) \log (-24+x)\right) \log (-11+8 x+3 \log (-24+x))}{264-203 x+8 x^2+(-72+3 x) \log (-24+x)} \, dx","Integrate[(-906 + 1328*x - 438*x^2 + 16*x^3 + (144 - 150*x + 6*x^2)*Log[-24 + x] + (-906 + 422*x - 16*x^2 + (144 - 6*x)*Log[-24 + x])*Log[-11 + 8*x + 3*Log[-24 + x]])/(264 - 203*x + 8*x^2 + (-72 + 3*x)*Log[-24 + x]),x]","(x-\log (8 x+3 \log (x-24)-11)-1)^2","(x-\log (-x+3 (3 x+\log (x-24)-3)-2)-1)^2",1,"(-1 + x - Log[-11 + 8*x + 3*Log[-24 + x]])^2","A",1
830,1,26,25,0.2679586,"\int \frac{6 x^2+2 x^3+e^{\frac{e^{9/4}}{x^3}} \left(3 e^{9/4}+x^3\right)}{3 x^3+2 x^4+e^{\frac{e^{9/4}}{x^3}} x^4} \, dx","Integrate[(6*x^2 + 2*x^3 + E^(E^(9/4)/x^3)*(3*E^(9/4) + x^3))/(3*x^3 + 2*x^4 + E^(E^(9/4)/x^3)*x^4),x]","2 \log (x)-\log \left(e^{\frac{e^{9/4}}{x^3}} x+2 x+3\right)","\log \left(\frac{x^2}{e^{\frac{e^{9/4}}{x^3}} x+2 x+3}\right)",1,"2*Log[x] - Log[3 + 2*x + E^(E^(9/4)/x^3)*x]","A",1
831,1,131,37,0.2152373,"\int \frac{-1280+960 x-240 x^2+20 x^3-20 e^{3 e^3} x^3+e^{2 e^3} \left(-240 x^2+60 x^3\right)+\left(10 x+60 x^2+75 x^3-10 x^4\right) \log ^2(4)+e^{e^3} \left(-960 x+480 x^2-60 x^3+\left(5 x^3+10 x^4\right) \log ^2(4)\right)}{256-192 x+48 x^2-4 x^3+4 e^{3 e^3} x^3+e^{2 e^3} \left(48 x^2-12 x^3\right)+e^{e^3} \left(192 x-96 x^2+12 x^3\right)} \, dx","Integrate[(-1280 + 960*x - 240*x^2 + 20*x^3 - 20*E^(3*E^3)*x^3 + E^(2*E^3)*(-240*x^2 + 60*x^3) + (10*x + 60*x^2 + 75*x^3 - 10*x^4)*Log[4]^2 + E^E^3*(-960*x + 480*x^2 - 60*x^3 + (5*x^3 + 10*x^4)*Log[4]^2))/(256 - 192*x + 48*x^2 - 4*x^3 + 4*E^(3*E^3)*x^3 + E^(2*E^3)*(48*x^2 - 12*x^3) + E^E^3*(192*x - 96*x^2 + 12*x^3)),x]","\frac{5 \left(\left(e^{e^3}-1\right)^2 x^2 \log ^2(4)-\left(e^{e^3}-1\right) x \left(-4-12 e^{2 e^3}+4 e^{3 e^3}+9 \log ^2(4)-e^{e^3} \left(\log ^2(4)-12\right)\right)-\frac{2 \left(e^{e^3}-9\right) \left(e^{e^3} (2-18 x)+e^{2 e^3} x+17 x-50\right) \log ^2(4)}{\left(\left(e^{e^3}-1\right) x+4\right)^2}\right)}{4 \left(e^{e^3}-1\right)^4}","5 \left(\frac{(2 x+1)^2 \log ^2(4)}{16 \left(\frac{4}{x}+e^{e^3}-1\right)^2}-x\right)-4",1,"(5*((-1 + E^E^3)^2*x^2*Log[4]^2 - (2*(-9 + E^E^3)*(-50 + E^E^3*(2 - 18*x) + 17*x + E^(2*E^3)*x)*Log[4]^2)/(4 + (-1 + E^E^3)*x)^2 - (-1 + E^E^3)*x*(-4 - 12*E^(2*E^3) + 4*E^(3*E^3) + 9*Log[4]^2 - E^E^3*(-12 + Log[4]^2))))/(4*(-1 + E^E^3)^4)","B",1
832,1,18,18,0.0147402,"\int \frac{-27-18 x-3 x^2+e^3 \left(48 x+24 x^2\right)}{9 x^4+6 x^5+x^6} \, dx","Integrate[(-27 - 18*x - 3*x^2 + E^3*(48*x + 24*x^2))/(9*x^4 + 6*x^5 + x^6),x]","\frac{-8 e^3 x+x+3}{x^3 (x+3)}","\frac{1}{x^3}-\frac{8 e^3}{x^2 (x+3)}-1",1,"(3 + x - 8*E^3*x)/(x^3*(3 + x))","A",1
833,1,25,25,0.1724391,"\int \frac{\left(e^x \log \left(\log \left(e^{x+x^2}-e^x x\right)\right)\right)^{2/9} \left(-4-4 x+e^{x^2} (4+8 x)+\left(4 e^{x^2}-4 x\right) \log \left(e^{x+x^2}-e^x x\right) \log \left(\log \left(e^{x+x^2}-e^x x\right)\right)\right)}{\left(9 e^{x^2}-9 x\right) \log \left(e^{x+x^2}-e^x x\right) \log \left(\log \left(e^{x+x^2}-e^x x\right)\right)} \, dx","Integrate[((E^x*Log[Log[E^(x + x^2) - E^x*x]])^(2/9)*(-4 - 4*x + E^x^2*(4 + 8*x) + (4*E^x^2 - 4*x)*Log[E^(x + x^2) - E^x*x]*Log[Log[E^(x + x^2) - E^x*x]]))/((9*E^x^2 - 9*x)*Log[E^(x + x^2) - E^x*x]*Log[Log[E^(x + x^2) - E^x*x]]),x]","2 \left(e^x \log \left(\log \left(e^x \left(e^{x^2}-x\right)\right)\right)\right)^{2/9}","2 \left(e^x \log \left(\log \left(e^x \left(e^{x^2}-x\right)\right)\right)\right)^{2/9}",1,"2*(E^x*Log[Log[E^x*(E^x^2 - x)]])^(2/9)","A",1
834,1,50,34,0.2056546,"\int \frac{6 x^2+2 x^3+\left(48 x+4 x^2-4 x^3\right) \log (-4+x) \log (\log (-4+x))+\left(-2 x^2+\left(-40 x+2 x^2+2 x^3\right) \log (-4+x) \log (\log (-4+x))\right) \log \left(\frac{4}{x \log (\log (-4+x))}\right)+\left(8 x-2 x^2\right) \log (-4+x) \log (\log (-4+x)) \log ^2\left(\frac{4}{x \log (\log (-4+x))}\right)}{\left(-324-351 x-180 x^2-24 x^3+8 x^4+4 x^5\right) \log (-4+x) \log (\log (-4+x))+\left(432+324 x+84 x^2-16 x^3-8 x^4\right) \log (-4+x) \log (\log (-4+x)) \log \left(\frac{4}{x \log (\log (-4+x))}\right)+\left(-216-90 x+4 x^2+8 x^3\right) \log (-4+x) \log (\log (-4+x)) \log ^2\left(\frac{4}{x \log (\log (-4+x))}\right)+\left(48+4 x-4 x^2\right) \log (-4+x) \log (\log (-4+x)) \log ^3\left(\frac{4}{x \log (\log (-4+x))}\right)+(-4+x) \log (-4+x) \log (\log (-4+x)) \log ^4\left(\frac{4}{x \log (\log (-4+x))}\right)} \, dx","Integrate[(6*x^2 + 2*x^3 + (48*x + 4*x^2 - 4*x^3)*Log[-4 + x]*Log[Log[-4 + x]] + (-2*x^2 + (-40*x + 2*x^2 + 2*x^3)*Log[-4 + x]*Log[Log[-4 + x]])*Log[4/(x*Log[Log[-4 + x]])] + (8*x - 2*x^2)*Log[-4 + x]*Log[Log[-4 + x]]*Log[4/(x*Log[Log[-4 + x]])]^2)/((-324 - 351*x - 180*x^2 - 24*x^3 + 8*x^4 + 4*x^5)*Log[-4 + x]*Log[Log[-4 + x]] + (432 + 324*x + 84*x^2 - 16*x^3 - 8*x^4)*Log[-4 + x]*Log[Log[-4 + x]]*Log[4/(x*Log[Log[-4 + x]])] + (-216 - 90*x + 4*x^2 + 8*x^3)*Log[-4 + x]*Log[Log[-4 + x]]*Log[4/(x*Log[Log[-4 + x]])]^2 + (48 + 4*x - 4*x^2)*Log[-4 + x]*Log[Log[-4 + x]]*Log[4/(x*Log[Log[-4 + x]])]^3 + (-4 + x)*Log[-4 + x]*Log[Log[-4 + x]]*Log[4/(x*Log[Log[-4 + x]])]^4),x]","-\frac{x^2}{2 x^2+6 x+\log ^2\left(\frac{4}{x \log (\log (x-4))}\right)-2 (x+3) \log \left(\frac{4}{x \log (\log (x-4))}\right)+9}","\frac{x^2}{-x^2-\left(x-\log \left(\frac{4}{x \log (\log (x-4))}\right)+3\right)^2}",1,"-(x^2/(9 + 6*x + 2*x^2 - 2*(3 + x)*Log[4/(x*Log[Log[-4 + x]])] + Log[4/(x*Log[Log[-4 + x]])]^2))","A",1
835,0,0,26,3.4837459,"\int \frac{4^{\frac{-16-8 x-x^2}{-2-2 x+2 \log \left(\log \left(x^2\right)\right)}} \left(\left(32+48 x+18 x^2+2 x^3\right) \log (4)+\left(2+8 x+10 x^2+4 x^3+\left(-8 x-6 x^2+3 x^3+x^4\right) \log (4)\right) \log \left(x^2\right)+\left(-4-12 x-8 x^2+\left(-8 x-10 x^2-2 x^3\right) \log (4)\right) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)+(2+4 x) \log \left(x^2\right) \log ^2\left(\log \left(x^2\right)\right)\right)}{\left(2+4 x+2 x^2\right) \log \left(x^2\right)+(-4-4 x) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)+2 \log \left(x^2\right) \log ^2\left(\log \left(x^2\right)\right)} \, dx","Integrate[(4^((-16 - 8*x - x^2)/(-2 - 2*x + 2*Log[Log[x^2]]))*((32 + 48*x + 18*x^2 + 2*x^3)*Log[4] + (2 + 8*x + 10*x^2 + 4*x^3 + (-8*x - 6*x^2 + 3*x^3 + x^4)*Log[4])*Log[x^2] + (-4 - 12*x - 8*x^2 + (-8*x - 10*x^2 - 2*x^3)*Log[4])*Log[x^2]*Log[Log[x^2]] + (2 + 4*x)*Log[x^2]*Log[Log[x^2]]^2))/((2 + 4*x + 2*x^2)*Log[x^2] + (-4 - 4*x)*Log[x^2]*Log[Log[x^2]] + 2*Log[x^2]*Log[Log[x^2]]^2),x]","\int \frac{4^{\frac{-16-8 x-x^2}{-2-2 x+2 \log \left(\log \left(x^2\right)\right)}} \left(\left(32+48 x+18 x^2+2 x^3\right) \log (4)+\left(2+8 x+10 x^2+4 x^3+\left(-8 x-6 x^2+3 x^3+x^4\right) \log (4)\right) \log \left(x^2\right)+\left(-4-12 x-8 x^2+\left(-8 x-10 x^2-2 x^3\right) \log (4)\right) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)+(2+4 x) \log \left(x^2\right) \log ^2\left(\log \left(x^2\right)\right)\right)}{\left(2+4 x+2 x^2\right) \log \left(x^2\right)+(-4-4 x) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)+2 \log \left(x^2\right) \log ^2\left(\log \left(x^2\right)\right)} \, dx","\left(x^2+x\right) 2^{\frac{(x+4)^2}{-\log \left(\log \left(x^2\right)\right)+x+1}}",1,"Integrate[(4^((-16 - 8*x - x^2)/(-2 - 2*x + 2*Log[Log[x^2]]))*((32 + 48*x + 18*x^2 + 2*x^3)*Log[4] + (2 + 8*x + 10*x^2 + 4*x^3 + (-8*x - 6*x^2 + 3*x^3 + x^4)*Log[4])*Log[x^2] + (-4 - 12*x - 8*x^2 + (-8*x - 10*x^2 - 2*x^3)*Log[4])*Log[x^2]*Log[Log[x^2]] + (2 + 4*x)*Log[x^2]*Log[Log[x^2]]^2))/((2 + 4*x + 2*x^2)*Log[x^2] + (-4 - 4*x)*Log[x^2]*Log[Log[x^2]] + 2*Log[x^2]*Log[Log[x^2]]^2), x]","F",-1
836,1,14,20,0.0963194,"\int \frac{-25-3 e^{3 e^x+x}}{e^{3 e^x}+25 x} \, dx","Integrate[(-25 - 3*E^(3*E^x + x))/(E^(3*E^x) + 25*x),x]","-\log \left(25 x+e^{3 e^x}\right)","-\log \left(25 x+e^{3 e^x}\right)+5-\log (2)",1,"-Log[E^(3*E^x) + 25*x]","A",1
837,1,8222,32,7.435216,"\int \frac{84+198 x+152 x^2+60 x^3+10 x^4+\left(72+132 x+96 x^2+32 x^3+4 x^4\right) \log \left(\frac{12+12 x+4 x^2}{12+16 x+7 x^2+x^3}\right)}{18-3 x-24 x^2-7 x^3+9 x^4+6 x^5+x^6} \, dx","Integrate[(84 + 198*x + 152*x^2 + 60*x^3 + 10*x^4 + (72 + 132*x + 96*x^2 + 32*x^3 + 4*x^4)*Log[(12 + 12*x + 4*x^2)/(12 + 16*x + 7*x^2 + x^3)])/(18 - 3*x - 24*x^2 - 7*x^3 + 9*x^4 + 6*x^5 + x^6),x]","\text{Result too large to show}","\frac{4 \left(\log \left(\frac{\frac{x^2}{(x+2)^2}+3}{x+3}\right)+x\right)+2}{1-x}",1,"Result too large to show","C",1
838,1,61,20,0.3917004,"\int \frac{\exp \left(\frac{-16+32 x-2 x^4+(32-64 x) \log \left(x^2\right)+(-24+48 x) \log ^2\left(x^2\right)+(8-16 x) \log ^3\left(x^2\right)+(-1+2 x) \log ^4\left(x^2\right)}{32-64 \log \left(x^2\right)+48 \log ^2\left(x^2\right)-16 \log ^3\left(x^2\right)+2 \log ^4\left(x^2\right)}\right) \left(-32+16 x^3+\left(80-4 x^3\right) \log \left(x^2\right)-80 \log ^2\left(x^2\right)+40 \log ^3\left(x^2\right)-10 \log ^4\left(x^2\right)+\log ^5\left(x^2\right)\right)}{-32+80 \log \left(x^2\right)-80 \log ^2\left(x^2\right)+40 \log ^3\left(x^2\right)-10 \log ^4\left(x^2\right)+\log ^5\left(x^2\right)} \, dx","Integrate[(E^((-16 + 32*x - 2*x^4 + (32 - 64*x)*Log[x^2] + (-24 + 48*x)*Log[x^2]^2 + (8 - 16*x)*Log[x^2]^3 + (-1 + 2*x)*Log[x^2]^4)/(32 - 64*Log[x^2] + 48*Log[x^2]^2 - 16*Log[x^2]^3 + 2*Log[x^2]^4))*(-32 + 16*x^3 + (80 - 4*x^3)*Log[x^2] - 80*Log[x^2]^2 + 40*Log[x^2]^3 - 10*Log[x^2]^4 + Log[x^2]^5))/(-32 + 80*Log[x^2] - 80*Log[x^2]^2 + 40*Log[x^2]^3 - 10*Log[x^2]^4 + Log[x^2]^5),x]","\left(x^2\right)^{-\frac{16 (2 x-1)}{\left(\log \left(x^2\right)-2\right)^4}} \exp \left(\frac{16 (2 x-1)}{\left(\log \left(x^2\right)-2\right)^3}+\frac{-x^4+64 x-32}{\left(\log \left(x^2\right)-2\right)^4}+x-\frac{1}{2}\right)","e^{-\frac{x^4}{\left(\log \left(x^2\right)-2\right)^4}+x-\frac{1}{2}}",1,"E^(-1/2 + x + (-32 + 64*x - x^4)/(-2 + Log[x^2])^4 + (16*(-1 + 2*x))/(-2 + Log[x^2])^3)/(x^2)^((16*(-1 + 2*x))/(-2 + Log[x^2])^4)","B",1
839,1,25,25,0.9456143,"\int \frac{290 x+58 x^2-58 x \log (5)+58 x^2 \log (x)+e^{e^x} \left(290+58 x-58 \log (5)+\left(290+116 x-58 \log (5)+e^x \left(-290 x-58 x^2+58 x \log (5)\right)\right) \log (x)\right)}{\left(25 x^2+10 x^3+x^4+\left(-10 x^2-2 x^3\right) \log (5)+x^2 \log ^2(5)\right) \log ^2(x)} \, dx","Integrate[(290*x + 58*x^2 - 58*x*Log[5] + 58*x^2*Log[x] + E^E^x*(290 + 58*x - 58*Log[5] + (290 + 116*x - 58*Log[5] + E^x*(-290*x - 58*x^2 + 58*x*Log[5]))*Log[x]))/((25*x^2 + 10*x^3 + x^4 + (-10*x^2 - 2*x^3)*Log[5] + x^2*Log[5]^2)*Log[x]^2),x]","-\frac{58 \left(x+e^{e^x}\right)}{x (x+5-\log (5)) \log (x)}","\frac{58 \left(x+e^{e^x}\right)}{x (-x-5+\log (5)) \log (x)}",1,"(-58*(E^E^x + x))/(x*(5 + x - Log[5])*Log[x])","A",1
840,1,35,36,0.2661719,"\int \frac{e^{1-x} \left(-64 x-32 x^2+4 x^3+2 x^4+\left(64+32 x-4 x^2-2 x^3\right) \log (2+x)+\left(\left(48 x+21 x^2-13 x^3-7 x^4-x^5\right) \log \left(\frac{x^2}{256+224 x+81 x^2+14 x^3+x^4}\right)+\left(-32+2 x+21 x^2+8 x^3+x^4\right) \log (2+x) \log \left(\frac{x^2}{256+224 x+81 x^2+14 x^3+x^4}\right)\right) \log \left(\log \left(\frac{x^2}{256+224 x+81 x^2+14 x^3+x^4}\right)\right)\right)}{\left(32+30 x+9 x^2+x^3\right) \log \left(\frac{x^2}{256+224 x+81 x^2+14 x^3+x^4}\right) \log ^2\left(\log \left(\frac{x^2}{256+224 x+81 x^2+14 x^3+x^4}\right)\right)} \, dx","Integrate[(E^(1 - x)*(-64*x - 32*x^2 + 4*x^3 + 2*x^4 + (64 + 32*x - 4*x^2 - 2*x^3)*Log[2 + x] + ((48*x + 21*x^2 - 13*x^3 - 7*x^4 - x^5)*Log[x^2/(256 + 224*x + 81*x^2 + 14*x^3 + x^4)] + (-32 + 2*x + 21*x^2 + 8*x^3 + x^4)*Log[2 + x]*Log[x^2/(256 + 224*x + 81*x^2 + 14*x^3 + x^4)])*Log[Log[x^2/(256 + 224*x + 81*x^2 + 14*x^3 + x^4)]]))/((32 + 30*x + 9*x^2 + x^3)*Log[x^2/(256 + 224*x + 81*x^2 + 14*x^3 + x^4)]*Log[Log[x^2/(256 + 224*x + 81*x^2 + 14*x^3 + x^4)]]^2),x]","\frac{e^{1-x} x (x-\log (x+2))}{\log \left(\log \left(\frac{x^2}{\left(x^2+7 x+16\right)^2}\right)\right)}","\frac{e^{1-x} x (x-\log (x+2))}{\log \left(\log \left(\frac{x^2}{\left((x+4)^2-x\right)^2}\right)\right)}",1,"(E^(1 - x)*x*(x - Log[2 + x]))/Log[Log[x^2/(16 + 7*x + x^2)^2]]","A",1
841,1,20,20,1.441652,"\int \frac{4-17 x+3 e x+e^x \left(-9 x-3 x^2\right)+\left(-6 x+e x+e^x \left(-3 x-x^2\right)\right) \log (x)+(-3 x-x \log (x)) \log (3+\log (x))}{12 x+3 e^2 x+3 e^{2 x} x-12 x^2+3 x^3+e \left(-12 x+6 x^2\right)+e^x \left(-12 x+6 e x+6 x^2\right)+\left(4 x+e^2 x+e^{2 x} x-4 x^2+x^3+e \left(-4 x+2 x^2\right)+e^x \left(-4 x+2 e x+2 x^2\right)\right) \log (x)+\left(12 x-6 e x-6 e^x x-6 x^2+\left(4 x-2 e x-2 e^x x-2 x^2\right) \log (x)\right) \log (3+\log (x))+(3 x+x \log (x)) \log ^2(3+\log (x))} \, dx","Integrate[(4 - 17*x + 3*E*x + E^x*(-9*x - 3*x^2) + (-6*x + E*x + E^x*(-3*x - x^2))*Log[x] + (-3*x - x*Log[x])*Log[3 + Log[x]])/(12*x + 3*E^2*x + 3*E^(2*x)*x - 12*x^2 + 3*x^3 + E*(-12*x + 6*x^2) + E^x*(-12*x + 6*E*x + 6*x^2) + (4*x + E^2*x + E^(2*x)*x - 4*x^2 + x^3 + E*(-4*x + 2*x^2) + E^x*(-4*x + 2*E*x + 2*x^2))*Log[x] + (12*x - 6*E*x - 6*E^x*x - 6*x^2 + (4*x - 2*E*x - 2*E^x*x - 2*x^2)*Log[x])*Log[3 + Log[x]] + (3*x + x*Log[x])*Log[3 + Log[x]]^2),x]","\frac{x+4}{x+e^x-\log (\log (x)+3)+e-2}","\frac{x+4}{x+e^x-\log (\log (x)+3)+e-2}",1,"(4 + x)/(-2 + E + E^x + x - Log[3 + Log[x]])","A",1
842,1,36,28,0.0838126,"\int \frac{-175-120 x-1254 x^3-1001 x^4-300 x^5-40 x^6-2 x^7+\left(-60-40 x+8 x^2-1000 x^3-800 x^4-200 x^5-16 x^6\right) \log (x)+\left(-5+x^2-300 x^3-200 x^4-36 x^5\right) \log ^2(x)+\left(-40 x^3-16 x^4\right) \log ^3(x)-2 x^3 \log ^4(x)}{625 x^2+500 x^3+150 x^4+20 x^5+x^6+\left(500 x^2+400 x^3+100 x^4+8 x^5\right) \log (x)+\left(150 x^2+100 x^3+18 x^4\right) \log ^2(x)+\left(20 x^2+8 x^3\right) \log ^3(x)+x^2 \log ^4(x)} \, dx","Integrate[(-175 - 120*x - 1254*x^3 - 1001*x^4 - 300*x^5 - 40*x^6 - 2*x^7 + (-60 - 40*x + 8*x^2 - 1000*x^3 - 800*x^4 - 200*x^5 - 16*x^6)*Log[x] + (-5 + x^2 - 300*x^3 - 200*x^4 - 36*x^5)*Log[x]^2 + (-40*x^3 - 16*x^4)*Log[x]^3 - 2*x^3*Log[x]^4)/(625*x^2 + 500*x^3 + 150*x^4 + 20*x^5 + x^6 + (500*x^2 + 400*x^3 + 100*x^4 + 8*x^5)*Log[x] + (150*x^2 + 100*x^3 + 18*x^4)*Log[x]^2 + (20*x^2 + 8*x^3)*Log[x]^3 + x^2*Log[x]^4),x]","\frac{x^2+5}{x \left((x+5)^2+\log ^2(x)+2 (2 x+5) \log (x)\right)}-x^2","\frac{\left(x^2+5\right) \left(\frac{1}{(x+\log (x)+5)^2+2 x \log (x)}-x\right)}{x}",1,"-x^2 + (5 + x^2)/(x*((5 + x)^2 + 2*(5 + 2*x)*Log[x] + Log[x]^2))","A",1
843,1,60,25,0.2941028,"\int \frac{e^{-3-e^x} \left(-2+4 \log (2)-4 e^x x \log (2)+\left(-1+e^x x\right) \log \left(x^2\right)\right)}{\log (2)} \, dx","Integrate[(E^(-3 - E^x)*(-2 + 4*Log[2] - 4*E^x*x*Log[2] + (-1 + E^x*x)*Log[x^2]))/Log[2],x]","\frac{\frac{\log (16) \text{Ei}\left(-e^x\right)}{e^3}-e^{-e^x-3} x \log \left(x^2\right)}{\log (2)}-4 \left(\frac{\text{Ei}\left(-e^x\right)}{e^3}-e^{-e^x-3} x\right)","e^{-e^x-3} \left(4 x-\frac{x \log \left(x^2\right)}{\log (2)}\right)",1,"-4*(-(E^(-3 - E^x)*x) + ExpIntegralEi[-E^x]/E^3) + ((ExpIntegralEi[-E^x]*Log[16])/E^3 - E^(-3 - E^x)*x*Log[x^2])/Log[2]","C",1
844,1,33,22,0.0405542,"\int \frac{6 e^5+400 x^2+e^x \left(-x^2+x^3\right)-6 e^5 \log (x)}{6 e^5 x^2} \, dx","Integrate[(6*E^5 + 400*x^2 + E^x*(-x^2 + x^3) - 6*E^5*Log[x])/(6*E^5*x^2),x]","\frac{200 x}{3 e^5}+\frac{1}{6} e^x \left(\frac{x}{e^5}-\frac{2}{e^5}\right)+\frac{\log (x)}{x}","\frac{\left(e^x+400\right) (x-2)}{6 e^5}+\frac{\log (x)}{x}",1,"(200*x)/(3*E^5) + (E^x*(-2/E^5 + x/E^5))/6 + Log[x]/x","A",1
845,1,25,26,0.1290584,"\int \frac{e^{-e^{\frac{1}{3} \left(5 x+x^2\right)}} \left(6 x^2+e^{e^{\frac{1}{3} \left(5 x+x^2\right)}} \left(3+3 x+3 e^x x\right)+e^{\frac{1}{3} \left(5 x+x^2\right)} \left(-5 x^3-2 x^4\right)\right)}{3 x} \, dx","Integrate[(6*x^2 + E^E^((5*x + x^2)/3)*(3 + 3*x + 3*E^x*x) + E^((5*x + x^2)/3)*(-5*x^3 - 2*x^4))/(3*E^E^((5*x + x^2)/3)*x),x]","e^{-e^{\frac{1}{3} x (x+5)}} x^2+x+e^x+\log (x)","e^{-e^{\frac{1}{3} x (x+5)}} x^2+x+e^x+\log (x)-5",1,"E^x + x + x^2/E^E^((x*(5 + x))/3) + Log[x]","A",1
846,1,25,27,0.0761584,"\int \frac{900 x^3+1250 x^4-125 x^5+25 x^6+e^2 \left(450 x^2+850 x^3-75 x^4+25 x^5\right)+\left(40500 x+51750 x^2-11650 x^3+1900 x^4-200 x^5+e^2 \left(20250+36000 x-7400 x^2+1650 x^3-200 x^4\right)\right) \log \left(x^2+x^3+e^2 \left(x+x^2\right)\right)+\left(10125 x+5625 x^2-4125 x^3+375 x^4+e^2 \left(10125+5625 x-4125 x^2+375 x^3\right)\right) \log ^2\left(x^2+x^3+e^2 \left(x+x^2\right)\right)}{x+x^2+e^2 (1+x)} \, dx","Integrate[(900*x^3 + 1250*x^4 - 125*x^5 + 25*x^6 + E^2*(450*x^2 + 850*x^3 - 75*x^4 + 25*x^5) + (40500*x + 51750*x^2 - 11650*x^3 + 1900*x^4 - 200*x^5 + E^2*(20250 + 36000*x - 7400*x^2 + 1650*x^3 - 200*x^4))*Log[x^2 + x^3 + E^2*(x + x^2)] + (10125*x + 5625*x^2 - 4125*x^3 + 375*x^4 + E^2*(10125 + 5625*x - 4125*x^2 + 375*x^3))*Log[x^2 + x^3 + E^2*(x + x^2)]^2)/(x + x^2 + E^2*(1 + x)),x]","5 x \left(x^2-5 (x-9) \log \left(x (x+1) \left(x+e^2\right)\right)\right)^2","5 x \left(x^2+5 (9-x) \log \left(x (x+1) \left(x+e^2\right)\right)\right)^2",1,"5*x*(x^2 - 5*(-9 + x)*Log[x*(1 + x)*(E^2 + x)])^2","A",1
847,1,30,26,0.1805028,"\int \frac{45-8 x+10 x^2-4 x^3-3 x^4+e^{3+x} \left(9-x+2 x^2+x^3-x^4\right)}{-15 x+2 x^2-14 x^3+2 x^4+x^5+e^{3+x} \left(-3 x+x^2-3 x^3+x^4\right)} \, dx","Integrate[(45 - 8*x + 10*x^2 - 4*x^3 - 3*x^4 + E^(3 + x)*(9 - x + 2*x^2 + x^3 - x^4))/(-15*x + 2*x^2 - 14*x^3 + 2*x^4 + x^5 + E^(3 + x)*(-3*x + x^2 - 3*x^3 + x^4)),x]","\log \left(x^2+1\right)-\log (3-x)-3 \log (x)-\log \left(x+e^{x+3}+5\right)","\log \left(\frac{5 \left(x+\frac{1}{x}\right)}{(x-3) x^2 \left(x+e^{x+3}+5\right)}\right)",1,"-Log[3 - x] - 3*Log[x] - Log[5 + E^(3 + x) + x] + Log[1 + x^2]","A",1
848,1,39,26,0.1598192,"\int \frac{e^{e^{-4+4 x^2}} \left(-8+8 x-2 x^2+e^{-4+4 x^2} \left(64 x^2-64 x^3+16 x^4\right)\right)+x^2 \log (3)}{8 x^2-8 x^3+2 x^4} \, dx","Integrate[(E^E^(-4 + 4*x^2)*(-8 + 8*x - 2*x^2 + E^(-4 + 4*x^2)*(64*x^2 - 64*x^3 + 16*x^4)) + x^2*Log[3])/(8*x^2 - 8*x^3 + 2*x^4),x]","\frac{\frac{2 e^{e^{4 x^2-4}+4}}{x}+\frac{e^4 \log (3)}{2-x}}{2 e^4}","\frac{e^{e^{4 x^2-4}}}{x}+\frac{\log (3)}{4-2 x}",1,"((2*E^(4 + E^(-4 + 4*x^2)))/x + (E^4*Log[3])/(2 - x))/(2*E^4)","A",1
849,1,27,27,0.1915323,"\int \frac{2-4 x+2 x^2+e^{\frac{1}{2} \left(-12+e^2 (-5+x)+4 x^2\right)} \left(-2+e^2 (-1+x)-8 x+8 x^2\right)}{2-4 x+2 x^2} \, dx","Integrate[(2 - 4*x + 2*x^2 + E^((-12 + E^2*(-5 + x) + 4*x^2)/2)*(-2 + E^2*(-1 + x) - 8*x + 8*x^2))/(2 - 4*x + 2*x^2),x]","\frac{e^{2 x^2+\frac{1}{2} e^2 (x-5)-6}}{x-1}+x","\frac{e^{2 x^2+\frac{1}{2} e^2 (x-5)-6}}{x-1}+x",1,"E^(-6 + (E^2*(-5 + x))/2 + 2*x^2)/(-1 + x) + x","A",1
850,1,21,17,0.0031599,"\int \frac{-3+2401 e^8}{e^4 \left(2401 e^8+4802 e^4 x+2401 x^2\right)} \, dx","Integrate[(-3 + 2401*E^8)/(E^4*(2401*E^8 + 4802*E^4*x + 2401*x^2)),x]","-\frac{2401 e^8-3}{2401 e^4 \left(x+e^4\right)}","\frac{x+\frac{3}{2401 e^4}}{x+e^4}",1,"-1/2401*(-3 + 2401*E^8)/(E^4*(E^4 + x))","A",1
851,1,24,26,0.1185592,"\int \frac{5+\left(-e^3+e^{3-x} \left(2 x-x^2\right)\right) \log (x) \log (3 \log (x))+5 \log (x) \log (3 \log (x)) \log (\log (3 \log (x)))}{\log (x) \log (3 \log (x))} \, dx","Integrate[(5 + (-E^3 + E^(3 - x)*(2*x - x^2))*Log[x]*Log[3*Log[x]] + 5*Log[x]*Log[3*Log[x]]*Log[Log[3*Log[x]]])/(Log[x]*Log[3*Log[x]]),x]","x \left(e^3 \left(e^{-x} x-1\right)+5 \log (\log (3 \log (x)))\right)","e^{3-x} x \left(x-e^x\right)+5 x \log (\log (3 \log (x)))",1,"x*(E^3*(-1 + x/E^x) + 5*Log[Log[3*Log[x]]])","A",1
852,1,22,23,0.4315484,"\int \frac{e^{5/4} (-360+72 x) \log ^3(x)+e^{5/4} (-90+36 x) \log ^4(x)+(180-72 x) \log ^5(x)}{-e^{25/4}+10 e^5 \log (x)-40 e^{15/4} \log ^2(x)+80 e^{5/2} \log ^3(x)-80 e^{5/4} \log ^4(x)+32 \log ^5(x)} \, dx","Integrate[(E^(5/4)*(-360 + 72*x)*Log[x]^3 + E^(5/4)*(-90 + 36*x)*Log[x]^4 + (180 - 72*x)*Log[x]^5)/(-E^(25/4) + 10*E^5*Log[x] - 40*E^(15/4)*Log[x]^2 + 80*E^(5/2)*Log[x]^3 - 80*E^(5/4)*Log[x]^4 + 32*Log[x]^5),x]","-\frac{18 (x-5) x \log ^4(x)}{\left(e^{5/4}-2 \log (x)\right)^4}","\frac{18 (5-x) x}{\left(2-\frac{e^{5/4}}{\log (x)}\right)^4}",1,"(-18*(-5 + x)*x*Log[x]^4)/(E^(5/4) - 2*Log[x])^4","A",1
853,1,22,27,0.0538507,"\int \frac{2-2 x-5 x^2+2 x^3+2 x^4+\left(x^2-x^3\right) \log \left(-4 x+4 x^2\right)}{-x^2+x^3} \, dx","Integrate[(2 - 2*x - 5*x^2 + 2*x^3 + 2*x^4 + (x^2 - x^3)*Log[-4*x + 4*x^2])/(-x^2 + x^3),x]","x^2+6 x+\frac{2}{x}-x \log (4 (x-1) x)","-\left(x \left(\log \left(4 \left(x^2-x\right)\right)-x-7\right)\right)-x+\frac{2}{x}",1,"2/x + 6*x + x^2 - x*Log[4*(-1 + x)*x]","A",1
854,1,22,24,0.1461858,"\int \frac{5+x+\left(5 x^2+x^3\right) \log (4)+\left(20 x+8 x^2\right) \log (4) \log ^3\left(\frac{1}{2} \left(5 x+x^2\right)\right)}{\left(5 x^2+x^3\right) \log (4)} \, dx","Integrate[(5 + x + (5*x^2 + x^3)*Log[4] + (20*x + 8*x^2)*Log[4]*Log[(5*x + x^2)/2]^3)/((5*x^2 + x^3)*Log[4]),x]","x+\log ^4\left(\frac{1}{2} x (x+5)\right)-\frac{1}{x \log (4)}","x+\log ^4\left(\frac{1}{2} x (x+5)\right)+\frac{x-1}{x \log (4)}",1,"x - 1/(x*Log[4]) + Log[(x*(5 + x))/2]^4","A",1
855,1,166,27,0.3193982,"\int \frac{12 x+3 e^{e^{\frac{1}{3} (12-7 x)}} x \log (x)+\left(12 e^{e^{\frac{1}{3} (12-7 x)}}+112 e^{\frac{1}{3} (12-7 x)} x\right) \log \left(e^{-2 e^{\frac{1}{3} (12-7 x)}} \left(320+160 e^{e^{\frac{1}{3} (12-7 x)}} \log (x)+20 e^{2 e^{\frac{1}{3} (12-7 x)}} \log ^2(x)\right)\right)}{12 x+3 e^{e^{\frac{1}{3} (12-7 x)}} x \log (x)} \, dx","Integrate[(12*x + 3*E^E^((12 - 7*x)/3)*x*Log[x] + (12*E^E^((12 - 7*x)/3) + 112*E^((12 - 7*x)/3)*x)*Log[(320 + 160*E^E^((12 - 7*x)/3)*Log[x] + 20*E^(2*E^((12 - 7*x)/3))*Log[x]^2)/E^(2*E^((12 - 7*x)/3))])/(12*x + 3*E^E^((12 - 7*x)/3)*x*Log[x]),x]","-4 e^{8-\frac{14 x}{3}}+x+\log ^2\left(\left(e^{e^{4-\frac{7 x}{3}}} \log (x)+4\right)^2\right)-4 e^{4-\frac{7 x}{3}} \log \left(20 e^{-2 e^{4-\frac{7 x}{3}}} \left(e^{e^{4-\frac{7 x}{3}}} \log (x)+4\right)^2\right)+\log \left(e^{e^{4-\frac{7 x}{3}}} \log (x)+4\right) \left(8 e^{4-\frac{7 x}{3}}-4 \log \left(\left(e^{e^{4-\frac{7 x}{3}}} \log (x)+4\right)^2\right)+4 \log \left(20 e^{-2 e^{4-\frac{7 x}{3}}} \left(e^{e^{4-\frac{7 x}{3}}} \log (x)+4\right)^2\right)\right)","x+\log ^2\left(20 \left(4 e^{-e^{4-\frac{7 x}{3}}}+\log (x)\right)^2\right)",1,"-4*E^(8 - (14*x)/3) + x + Log[(4 + E^E^(4 - (7*x)/3)*Log[x])^2]^2 - 4*E^(4 - (7*x)/3)*Log[(20*(4 + E^E^(4 - (7*x)/3)*Log[x])^2)/E^(2*E^(4 - (7*x)/3))] + Log[4 + E^E^(4 - (7*x)/3)*Log[x]]*(8*E^(4 - (7*x)/3) - 4*Log[(4 + E^E^(4 - (7*x)/3)*Log[x])^2] + 4*Log[(20*(4 + E^E^(4 - (7*x)/3)*Log[x])^2)/E^(2*E^(4 - (7*x)/3))])","B",1
856,1,28,28,0.1022227,"\int \frac{e^{\frac{-x^2+x \log \left(x^2\right)+\log \left(\frac{16-\log (3+x)}{e}\right)}{x}} \left(95 x-16 x^2-16 x^3+\left(-6 x+x^2+x^3\right) \log (3+x)+(-48-16 x+(3+x) \log (3+x)) \log \left(\frac{16-\log (3+x)}{e}\right)\right)}{-48 x^2-16 x^3+\left(3 x^2+x^3\right) \log (3+x)} \, dx","Integrate[(E^((-x^2 + x*Log[x^2] + Log[(16 - Log[3 + x])/E])/x)*(95*x - 16*x^2 - 16*x^3 + (-6*x + x^2 + x^3)*Log[3 + x] + (-48 - 16*x + (3 + x)*Log[3 + x])*Log[(16 - Log[3 + x])/E]))/(-48*x^2 - 16*x^3 + (3*x^2 + x^3)*Log[3 + x]),x]","-e^{-x-\frac{1}{x}} x^2 (16-\log (x+3))^{\frac{1}{x}}","x^2 \left(-e^{\frac{\log \left(\frac{16-\log (x+3)}{e}\right)}{x}-x}\right)",1,"-(E^(-x^(-1) - x)*x^2*(16 - Log[3 + x])^x^(-1))","A",1
857,1,28,27,0.0608403,"\int \frac{e^{-x} \left(1+(1-x) \log (5)-\log \left(-e^{12+4 e^3+x}\right)\right)}{\log (5)} \, dx","Integrate[(1 + (1 - x)*Log[5] - Log[-E^(12 + 4*E^3 + x)])/(E^x*Log[5]),x]","\frac{e^{-x} \left(x \log (5)+\log \left(-e^{x+4 e^3+12}\right)\right)}{\log (5)}","e^{-x} \left(x+\frac{\log \left(-e^{x+4 \left(3+e^3\right)}\right)}{\log (5)}\right)",1,"(x*Log[5] + Log[-E^(12 + 4*E^3 + x)])/(E^x*Log[5])","A",1
858,1,11,16,0.0335136,"\int \frac{-1296+1296 \log (x)}{11664 x^2+216 x \log (x)+\log ^2(x)} \, dx","Integrate[(-1296 + 1296*Log[x])/(11664*x^2 + 216*x*Log[x] + Log[x]^2),x]","\frac{1296 x}{108 x+\log (x)}","\frac{3 \log (x)}{-27 x-\frac{\log (x)}{4}}",1,"(1296*x)/(108*x + Log[x])","A",1
859,1,21,21,1.370034,"\int \frac{\exp \left(-e^{\frac{1}{16+e^{2 x}+e^x (-8-2 x)+8 x+x^2}} \log (x)+(2-x) \log (x)\right) \left(-128+e^{3 x} (2-x)-32 x+24 x^2+10 x^3+x^4+e^{2 x} \left(-24+6 x+3 x^2\right)+e^x \left(96-18 x^2-3 x^3\right)+\left(64 x-e^{3 x} x+48 x^2+12 x^3+x^4+e^{2 x} \left(12 x+3 x^2\right)+e^x \left(-48 x-24 x^2-3 x^3\right)\right) \log (x)+e^{\frac{1}{16+e^{2 x}+e^x (-8-2 x)+8 x+x^2}} \left(64-e^{3 x}+48 x+12 x^2+x^3+e^{2 x} (12+3 x)+e^x \left(-48-24 x-3 x^2\right)+\left(-2 x+2 e^x x\right) \log (x)\right)\right)}{-64 x+e^{3 x} x-48 x^2-12 x^3-x^4+e^{2 x} \left(-12 x-3 x^2\right)+e^x \left(48 x+24 x^2+3 x^3\right)} \, dx","Integrate[(E^(-(E^(16 + E^(2*x) + E^x*(-8 - 2*x) + 8*x + x^2)^(-1)*Log[x]) + (2 - x)*Log[x])*(-128 + E^(3*x)*(2 - x) - 32*x + 24*x^2 + 10*x^3 + x^4 + E^(2*x)*(-24 + 6*x + 3*x^2) + E^x*(96 - 18*x^2 - 3*x^3) + (64*x - E^(3*x)*x + 48*x^2 + 12*x^3 + x^4 + E^(2*x)*(12*x + 3*x^2) + E^x*(-48*x - 24*x^2 - 3*x^3))*Log[x] + E^(16 + E^(2*x) + E^x*(-8 - 2*x) + 8*x + x^2)^(-1)*(64 - E^(3*x) + 48*x + 12*x^2 + x^3 + E^(2*x)*(12 + 3*x) + E^x*(-48 - 24*x - 3*x^2) + (-2*x + 2*E^x*x)*Log[x])))/(-64*x + E^(3*x)*x - 48*x^2 - 12*x^3 - x^4 + E^(2*x)*(-12*x - 3*x^2) + E^x*(48*x + 24*x^2 + 3*x^3)),x]","x^{-x-e^{\frac{1}{\left(-x+e^x-4\right)^2}}+2}","x^{-x-e^{\frac{1}{\left(-x+e^x-4\right)^2}}+2}",1,"x^(2 - E^(-4 + E^x - x)^(-2) - x)","A",1
860,1,53,25,0.0204545,"\int \frac{2 x+e^4 \left(-8+24 x-18 x^2\right) \log \left(\frac{1}{2 x}\right)+e^4 \left(-12 x+18 x^2\right) \log ^2\left(\frac{1}{2 x}\right)}{x} \, dx","Integrate[(2*x + E^4*(-8 + 24*x - 18*x^2)*Log[1/(2*x)] + E^4*(-12*x + 18*x^2)*Log[1/(2*x)]^2)/x,x]","9 e^4 x^2 \log ^2\left(\frac{1}{2 x}\right)+2 x-12 e^4 x \log ^2\left(\frac{1}{2 x}\right)+4 e^4 \log ^2\left(\frac{1}{2 x}\right)","2 x+e^4 (3 x-2)^2 \log ^2\left(\frac{1}{2 x}\right)",1,"2*x + 4*E^4*Log[1/(2*x)]^2 - 12*E^4*x*Log[1/(2*x)]^2 + 9*E^4*x^2*Log[1/(2*x)]^2","B",1
861,1,16,25,0.0119819,"\int \frac{16-8 x+65 x^2-8 x^3-x \log (3)}{16 x-8 x^2+x^3} \, dx","Integrate[(16 - 8*x + 65*x^2 - 8*x^3 - x*Log[3])/(16*x - 8*x^2 + x^3),x]","-8 x+\log (x)+\frac{\log (3)-128}{x-4}","\log \left(\frac{5}{4} x e^{-\frac{\log (3)-8 x^2}{4-x}}\right)",1,"-8*x + (-128 + Log[3])/(-4 + x) + Log[x]","A",1
862,1,20,19,0.0053211,"\int \frac{1}{16} \left(1-16 e^{4+x}+\log \left(-\frac{x}{20}\right)\right) \, dx","Integrate[(1 - 16*E^(4 + x) + Log[-1/20*x])/16,x]","\frac{1}{16} \left(x \log \left(-\frac{x}{20}\right)-16 e^{x+4}\right)","\frac{1}{16} x \log \left(-\frac{x}{20}\right)-e^{x+4}",1,"(-16*E^(4 + x) + x*Log[-1/20*x])/16","A",1
863,1,48,29,0.1242266,"\int \frac{24 x^2-8 x^3+64 e^4 x \log (-3+x)+e^4 \left(96+16 x-16 x^2\right) \log ^2(-3+x)+e^8 (24-8 x) \log ^4(-3+x)}{-192 x^2-32 x^3+20 x^4+4 x^5+\left(48 x^2-4 x^3-4 x^4\right) \log (5)+\left(-3 x^2+x^3\right) \log ^2(5)+\left(e^4 \left(-96 x^2+8 x^3+8 x^4\right)+e^4 \left(48 x+8 x^2-8 x^3\right) \log (5)+e^4 \left(-6 x+2 x^2\right) \log ^2(5)\right) \log ^2(-3+x)+\left(e^8 \left(-12 x^2+4 x^3\right)+e^8 \left(12 x-4 x^2\right) \log (5)+e^8 (-3+x) \log ^2(5)\right) \log ^4(-3+x)} \, dx","Integrate[(24*x^2 - 8*x^3 + 64*E^4*x*Log[-3 + x] + E^4*(96 + 16*x - 16*x^2)*Log[-3 + x]^2 + E^8*(24 - 8*x)*Log[-3 + x]^4)/(-192*x^2 - 32*x^3 + 20*x^4 + 4*x^5 + (48*x^2 - 4*x^3 - 4*x^4)*Log[5] + (-3*x^2 + x^3)*Log[5]^2 + (E^4*(-96*x^2 + 8*x^3 + 8*x^4) + E^4*(48*x + 8*x^2 - 8*x^3)*Log[5] + E^4*(-6*x + 2*x^2)*Log[5]^2)*Log[-3 + x]^2 + (E^8*(-12*x^2 + 4*x^3) + E^8*(12*x - 4*x^2)*Log[5] + E^8*(-3 + x)*Log[5]^2)*Log[-3 + x]^4),x]","\frac{8 \left(x+e^4 \log ^2(x-3)\right)}{2 e^4 (2 x-\log (5)) \log ^2(x-3)+2 x (2 x+8-\log (5))}","\frac{4}{2 x+\frac{8 x}{x+e^4 \log ^2(x-3)}-\log (5)}",1,"(8*(x + E^4*Log[-3 + x]^2))/(2*x*(8 + 2*x - Log[5]) + 2*E^4*(2*x - Log[5])*Log[-3 + x]^2)","A",1
864,1,12,14,0.0648581,"\int \frac{-6-2 x}{-36-16 x+x^2+(2+x) \log (-2-x)} \, dx","Integrate[(-6 - 2*x)/(-36 - 16*x + x^2 + (2 + x)*Log[-2 - x]),x]","-2 \log (x+\log (-x-2)-18)","\log \left(\frac{16}{(x+\log (-x-2)-18)^2}\right)",1,"-2*Log[-18 + x + Log[-2 - x]]","A",1
865,1,20,23,0.1311367,"\int \frac{-2 x^2+e^{4+x} \left(-24 x+12 x^2+e (-12+12 x)\right)}{e^2 x^2+2 e x^3+x^4} \, dx","Integrate[(-2*x^2 + E^(4 + x)*(-24*x + 12*x^2 + E*(-12 + 12*x)))/(E^2*x^2 + 2*E*x^3 + x^4),x]","\frac{2 \left(x+6 e^{x+4}\right)}{x^2+e x}","\frac{2 x+12 e^{x+4}}{x (x+e)}+\log (4)",1,"(2*(6*E^(4 + x) + x))/(E*x + x^2)","A",1
866,1,35,25,0.2083625,"\int \frac{5+x-135 x^2-12 x^3+3 x^4+e^{2 x} (5+x)^2 \left(36+6 x+45 x^2+9 x^3\right)}{-45-4 x+x^2+e^{2 x} (5+x)^2 (15+3 x)} \, dx","Integrate[(5 + x - 135*x^2 - 12*x^3 + 3*x^4 + E^(2*x)*(5 + x)^2*(36 + 6*x + 45*x^2 + 9*x^3))/(-45 - 4*x + x^2 + E^(2*x)*(5 + x)^2*(15 + 3*x)),x]","x^3+\log \left(-3 e^{2 x} x^2-30 e^{2 x} x-x-75 e^{2 x}+9\right)","x^3+\log \left(-\frac{x}{3}-e^{2 (x+\log (x+5))}+3\right)-9",1,"x^3 + Log[9 - 75*E^(2*x) - x - 30*E^(2*x)*x - 3*E^(2*x)*x^2]","A",1
867,1,118,28,0.0414738,"\int \frac{1}{9} \left(\left(-168 x+16 x^3\right) \log ^2(2)+\left(-5376+1536 x^2\right) \log ^2(2) \log (5)+\left(65024 x-6144 x^3\right) \log ^2(2) \log ^2(5)+\left(-359424 x^2+10240 x^4\right) \log ^2(2) \log ^3(5)+\left(1157120 x^3-6144 x^5\right) \log ^2(2) \log ^4(5)-2293760 x^4 \log ^2(2) \log ^5(5)+2752512 x^5 \log ^2(2) \log ^6(5)-1835008 x^6 \log ^2(2) \log ^7(5)+524288 x^7 \log ^2(2) \log ^8(5)\right) \, dx","Integrate[((-168*x + 16*x^3)*Log[2]^2 + (-5376 + 1536*x^2)*Log[2]^2*Log[5] + (65024*x - 6144*x^3)*Log[2]^2*Log[5]^2 + (-359424*x^2 + 10240*x^4)*Log[2]^2*Log[5]^3 + (1157120*x^3 - 6144*x^5)*Log[2]^2*Log[5]^4 - 2293760*x^4*Log[2]^2*Log[5]^5 + 2752512*x^5*Log[2]^2*Log[5]^6 - 1835008*x^6*Log[2]^2*Log[5]^7 + 524288*x^7*Log[2]^2*Log[5]^8)/9,x]","\frac{8}{9} \log ^2(2) \left(8192 x^8 \log ^8(5)-32768 x^7 \log ^7(5)+128 x^6 \log ^4(5) \left(448 \log ^2(5)-1\right)-256 x^5 \log ^3(5) \left(224 \log ^2(5)-1\right)+\frac{1}{2} x^4 \left(1+72320 \log ^4(5)-384 \log ^2(5)\right)-64 x^3 \log (5) \left(234 \log ^2(5)-1\right)-\frac{21 x^2}{2}+4064 x^2 \log ^2(5)-672 x \log (5)\right)","\frac{1}{9} \log ^2(2) \left(2 x^2-(2-4 x \log (5))^4-5\right)^2",1,"(8*Log[2]^2*((-21*x^2)/2 - 672*x*Log[5] + 4064*x^2*Log[5]^2 - 32768*x^7*Log[5]^7 + 8192*x^8*Log[5]^8 - 256*x^5*Log[5]^3*(-1 + 224*Log[5]^2) - 64*x^3*Log[5]*(-1 + 234*Log[5]^2) + 128*x^6*Log[5]^4*(-1 + 448*Log[5]^2) + (x^4*(1 - 384*Log[5]^2 + 72320*Log[5]^4))/2))/9","B",1
868,1,55,34,0.3061372,"\int \frac{720 x-3444 x^2+1748 x^3+152 x^4-76 x^5+4 x^6+\left(1440-2480 x+1200 x^2-160 x^3\right) \log \left(-2+3 x-x^2\right)}{7200-4320 x-5382 x^2+1809 x^3+873 x^4-189 x^5+9 x^6} \, dx","Integrate[(720*x - 3444*x^2 + 1748*x^3 + 152*x^4 - 76*x^5 + 4*x^6 + (1440 - 2480*x + 1200*x^2 - 160*x^3)*Log[-2 + 3*x - x^2])/(7200 - 4320*x - 5382*x^2 + 1809*x^3 + 873*x^4 - 189*x^5 + 9*x^6),x]","\frac{1}{9} \left(\frac{80 x}{x^2-9 x-20}+\frac{80 \log \left(-x^2+3 x-2\right)}{x^2-9 x-20}+4 \log \left(x^2-3 x+2\right)+4 x\right)","\frac{x (x+\log ((1-x) (x-2)))}{9 \left(\frac{x}{4}+\frac{5}{9-x}\right)}",1,"(4*x + (80*x)/(-20 - 9*x + x^2) + (80*Log[-2 + 3*x - x^2])/(-20 - 9*x + x^2) + 4*Log[2 - 3*x + x^2])/9","A",1
869,1,52,26,0.0925122,"\int \left(-1+486 x^5+e^{7 x} \left(2430 x^4+4374 x^5+1134 x^6\right)+e^{14 x} \left(2916 x^3+12636 x^4+7290 x^5+1134 x^6\right)\right) \, dx","Integrate[-1 + 486*x^5 + E^(7*x)*(2430*x^4 + 4374*x^5 + 1134*x^6) + E^(14*x)*(2916*x^3 + 12636*x^4 + 7290*x^5 + 1134*x^6),x]","81 x^6+162 e^{7 x} \left(x^6+3 x^5\right)+162 e^{14 x} \left(\frac{x^6}{2}+3 x^5+\frac{9 x^4}{2}\right)-x","81 \left(x-e^{7 x} (-x-3)\right)^2 x^4-x-1",1,"-x + 81*x^6 + 162*E^(14*x)*((9*x^4)/2 + 3*x^5 + x^6/2) + 162*E^(7*x)*(3*x^5 + x^6)","A",1
870,1,18,14,0.2004606,"\int \frac{e^{x+x^2-2 x \log (x)+\log ^2(x)} \left(x-2 x^2+(-2+2 x) \log (x)\right)}{x} \, dx","Integrate[(E^(x + x^2 - 2*x*Log[x] + Log[x]^2)*(x - 2*x^2 + (-2 + 2*x)*Log[x]))/x,x]","x^{-2 x} \left(-e^{x^2+x+\log ^2(x)}\right)","-e^{x+(x-\log (x))^2}",1,"-(E^(x + x^2 + Log[x]^2)/x^(2*x))","A",1
871,1,52,24,0.0080462,"\int \frac{x^2+(4-4 x) \log (2) \log (x)-2 \log (2) \log ^2(x)}{x^2} \, dx","Integrate[(x^2 + (4 - 4*x)*Log[2]*Log[x] - 2*Log[2]*Log[x]^2)/x^2,x]","x+\frac{\log (4) \log ^2(x)}{x}-2 \log (2) \log ^2(x)+\frac{2 \log (4) \log (x)}{x}-\frac{4 \log (2) \log (x)}{x}+\frac{2 \log (4)}{x}-\frac{4 \log (2)}{x}","x-\frac{(2 x-2) \log (2) \log ^2(x)}{x}+\frac{\log (2)}{2}",1,"x - (4*Log[2])/x + (2*Log[4])/x - (4*Log[2]*Log[x])/x + (2*Log[4]*Log[x])/x - 2*Log[2]*Log[x]^2 + (Log[4]*Log[x]^2)/x","B",1
872,-1,0,27,180.0121071,"\int \frac{36 x^4-36 x^5+\left(12 x^2-48 x^3+126 x^4\right) \log \left(\frac{e^x}{x}\right)+\left(36 x^2-144 x^3\right) \log ^2\left(\frac{e^x}{x}\right)+\left(2-24 x+54 x^2\right) \log ^3\left(\frac{e^x}{x}\right)}{81 \log ^3\left(\frac{e^x}{x}\right)} \, dx","Integrate[(36*x^4 - 36*x^5 + (12*x^2 - 48*x^3 + 126*x^4)*Log[E^x/x] + (36*x^2 - 144*x^3)*Log[E^x/x]^2 + (2 - 24*x + 54*x^2)*Log[E^x/x]^3)/(81*Log[E^x/x]^3),x]","\text{\$Aborted}","\frac{2}{9} x \left(-\frac{x^2}{\log \left(\frac{e^x}{x}\right)}+x-\frac{1}{3}\right)^2",1,"$Aborted","F",-1
873,1,18,23,0.0047135,"\int \frac{28+e^4 (-27+x)-x}{e^4 (-27+x)} \, dx","Integrate[(28 + E^4*(-27 + x) - x)/(E^4*(-27 + x)),x]","\frac{\left(e^4-1\right) (x-27)+\log (x-27)}{e^4}","\frac{1}{2} (2 x-3)+\frac{\log (x-27)-x}{e^4}+4",1,"((-1 + E^4)*(-27 + x) + Log[-27 + x])/E^4","A",1
874,1,35,27,0.0206081,"\int \frac{2 x^3+3 x^8 \log (5)+\left(8 x-36 x^6 \log (5)\right) \log (16)+144 x^4 \log (5) \log ^2(16)-192 x^2 \log (5) \log ^3(16)}{-x^6 \log (5)+12 x^4 \log (5) \log (16)-48 x^2 \log (5) \log ^2(16)+64 \log (5) \log ^3(16)} \, dx","Integrate[(2*x^3 + 3*x^8*Log[5] + (8*x - 36*x^6*Log[5])*Log[16] + 144*x^4*Log[5]*Log[16]^2 - 192*x^2*Log[5]*Log[16]^3)/(-(x^6*Log[5]) + 12*x^4*Log[5]*Log[16] - 48*x^2*Log[5]*Log[16]^2 + 64*Log[5]*Log[16]^3),x]","-\frac{x^2 \left(x \log (5) \left(x^2-4 \log (16)\right)^2-1\right)}{\log (5) \left(x^2-4 \log (16)\right)^2}","x^2 \left(\frac{1}{x^2 \log (5) \left(x-\frac{4 \log (16)}{x}\right)^2}-x\right)",1,"-((x^2*(-1 + x*Log[5]*(x^2 - 4*Log[16])^2))/(Log[5]*(x^2 - 4*Log[16])^2))","A",1
875,1,16,16,0.0029503,"\int -\frac{5 e^{e^4}}{(2+5 x) (8+20 x)} \, dx","Integrate[(-5*E^E^4)/((2 + 5*x)*(8 + 20*x)),x]","\frac{e^{e^4}}{4 (5 x+2)}","\frac{e^{e^4}}{4 (5 x+2)}",1,"E^E^4/(4*(2 + 5*x))","A",1
876,1,37,31,0.1195313,"\int \frac{490 x^2+35630 x^3+629520 x^4-665640 x^5+e^{2 x} \left(-56-4072 x-262148 x^2+266256 x^3\right)+\left(140 x^3+5020 x^4-5160 x^5+e^{2 x} \left(-16 x-2048 x^2+2064 x^3\right)\right) \log (1-x)+\left(10 x^4-10 x^5+e^{2 x} \left(-4 x^2+4 x^3\right)\right) \log ^2(1-x)}{e^{2 x} \left(-49 x^2-3563 x^3-62952 x^4+66564 x^5\right)+e^{2 x} \left(-14 x^3-502 x^4+516 x^5\right) \log (1-x)+e^{2 x} \left(-x^4+x^5\right) \log ^2(1-x)} \, dx","Integrate[(490*x^2 + 35630*x^3 + 629520*x^4 - 665640*x^5 + E^(2*x)*(-56 - 4072*x - 262148*x^2 + 266256*x^3) + (140*x^3 + 5020*x^4 - 5160*x^5 + E^(2*x)*(-16*x - 2048*x^2 + 2064*x^3))*Log[1 - x] + (10*x^4 - 10*x^5 + E^(2*x)*(-4*x^2 + 4*x^3))*Log[1 - x]^2)/(E^(2*x)*(-49*x^2 - 3563*x^3 - 62952*x^4 + 66564*x^5) + E^(2*x)*(-14*x^3 - 502*x^4 + 516*x^5)*Log[1 - x] + E^(2*x)*(-x^4 + x^5)*Log[1 - x]^2),x]","2 \left(\frac{5 e^{-2 x}}{2}-\frac{2}{x}+\frac{10}{x (258 x+x \log (1-x)+7)}\right)","5 e^{-2 x}-\frac{4}{x+\frac{5}{\frac{2}{x}+\log (1-x)+258}}",1,"2*(5/(2*E^(2*x)) - 2/x + 10/(x*(7 + 258*x + x*Log[1 - x])))","A",1
877,1,45,22,0.1745621,"\int \frac{-14+12 x-6 x^2+x^3+\left(-8+12 x-6 x^2+x^3\right) \log (x)+e^{-3 e^x+3 x} (1+\log (x))+e^{-2 e^x+2 x} (-6+3 x+(-6+3 x) \log (x))+e^{-e^x+x} \left(6+6 e^x-12 x+3 x^2+\left(12-12 x+3 x^2\right) \log (x)\right)}{-8+e^{-3 e^x+3 x}+12 x-6 x^2+x^3+e^{-2 e^x+2 x} (-6+3 x)+e^{-e^x+x} \left(12-12 x+3 x^2\right)} \, dx","Integrate[(-14 + 12*x - 6*x^2 + x^3 + (-8 + 12*x - 6*x^2 + x^3)*Log[x] + E^(-3*E^x + 3*x)*(1 + Log[x]) + E^(-2*E^x + 2*x)*(-6 + 3*x + (-6 + 3*x)*Log[x]) + E^(-E^x + x)*(6 + 6*E^x - 12*x + 3*x^2 + (12 - 12*x + 3*x^2)*Log[x]))/(-8 + E^(-3*E^x + 3*x) + 12*x - 6*x^2 + x^3 + E^(-2*E^x + 2*x)*(-6 + 3*x) + E^(-E^x + x)*(12 - 12*x + 3*x^2)),x]","\frac{3 e^{2 e^x}+x \left(e^{e^x} (x-2)+e^x\right)^2 \log (x)}{\left(e^{e^x} (x-2)+e^x\right)^2}","\frac{3}{\left(x+e^{x-e^x}-2\right)^2}+x \log (x)-3",1,"(3*E^(2*E^x) + (E^x + E^E^x*(-2 + x))^2*x*Log[x])/(E^x + E^E^x*(-2 + x))^2","B",1
878,1,18,18,0.1948799,"\int e^{-x+e^{-x} \left(-x-x^2+e^x (1+2 x)\right)} \left(-1+2 e^x-x+x^2\right) \, dx","Integrate[E^(-x + (-x - x^2 + E^x*(1 + 2*x))/E^x)*(-1 + 2*E^x - x + x^2),x]","e^{-e^{-x} (x+1) x+2 x+1}","e^{-e^{-x} (x+1) x+2 x+1}",1,"E^(1 + 2*x - (x*(1 + x))/E^x)","A",1
879,1,19,17,0.0062672,"\int \frac{e+20 x+e^x (100+100 x)}{e} \, dx","Integrate[(E + 20*x + E^x*(100 + 100*x))/E,x]","\frac{10 x^2+100 e^x x+e x}{e}","\frac{10 \left(x^2+10 e^x x\right)}{e}+x",1,"(E*x + 100*E^x*x + 10*x^2)/E","A",1
880,1,16,21,0.0072987,"\int \frac{1}{4} \left(-1-20 e^{-4+x}+4 e^x\right) \, dx","Integrate[(-1 - 20*E^(-4 + x) + 4*E^x)/4,x]","-\frac{x}{4}-5 e^{x-4}+e^x","\frac{1}{4} (-x-1)-5 e^{x-4}+e^x-3",1,"-5*E^(-4 + x) + E^x - x/4","A",1
881,1,64,36,0.1719619,"\int \frac{e^{10} \left(8+6 x^2\right)+e^5 \left(-8 x^3-6 x^5\right)+\left(e^{10} (-4+6 x)+e^5 \left(4 x^3-6 x^4\right)\right) \log \left(\frac{4 x^2}{3}\right)+\left(-2 e^{10} x+e^5 \left(16 x^2+14 x^4\right)+\left(-2 e^{10}+e^5 \left(-8 x^2+14 x^3\right)\right) \log \left(\frac{4 x^2}{3}\right)\right) \log \left(\frac{2 x}{x+\log \left(\frac{4 x^2}{3}\right)}\right)+\left(e^5 \left(-8 x-10 x^3\right)+e^5 \left(4 x-10 x^2\right) \log \left(\frac{4 x^2}{3}\right)\right) \log ^2\left(\frac{2 x}{x+\log \left(\frac{4 x^2}{3}\right)}\right)+\left(2 e^5 x^2+2 e^5 x \log \left(\frac{4 x^2}{3}\right)\right) \log ^3\left(\frac{2 x}{x+\log \left(\frac{4 x^2}{3}\right)}\right)}{-x^9-x^8 \log \left(\frac{4 x^2}{3}\right)+\left(5 x^8+5 x^7 \log \left(\frac{4 x^2}{3}\right)\right) \log \left(\frac{2 x}{x+\log \left(\frac{4 x^2}{3}\right)}\right)+\left(-10 x^7-10 x^6 \log \left(\frac{4 x^2}{3}\right)\right) \log ^2\left(\frac{2 x}{x+\log \left(\frac{4 x^2}{3}\right)}\right)+\left(10 x^6+10 x^5 \log \left(\frac{4 x^2}{3}\right)\right) \log ^3\left(\frac{2 x}{x+\log \left(\frac{4 x^2}{3}\right)}\right)+\left(-5 x^5-5 x^4 \log \left(\frac{4 x^2}{3}\right)\right) \log ^4\left(\frac{2 x}{x+\log \left(\frac{4 x^2}{3}\right)}\right)+\left(x^4+x^3 \log \left(\frac{4 x^2}{3}\right)\right) \log ^5\left(\frac{2 x}{x+\log \left(\frac{4 x^2}{3}\right)}\right)} \, dx","Integrate[(E^10*(8 + 6*x^2) + E^5*(-8*x^3 - 6*x^5) + (E^10*(-4 + 6*x) + E^5*(4*x^3 - 6*x^4))*Log[(4*x^2)/3] + (-2*E^10*x + E^5*(16*x^2 + 14*x^4) + (-2*E^10 + E^5*(-8*x^2 + 14*x^3))*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])] + (E^5*(-8*x - 10*x^3) + E^5*(4*x - 10*x^2)*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]^2 + (2*E^5*x^2 + 2*E^5*x*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]^3)/(-x^9 - x^8*Log[(4*x^2)/3] + (5*x^8 + 5*x^7*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])] + (-10*x^7 - 10*x^6*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]^2 + (10*x^6 + 10*x^5*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]^3 + (-5*x^5 - 5*x^4*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]^4 + (x^4 + x^3*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]^5),x]","-2 e^5 \left(\frac{1}{x \left(\log \left(\frac{2 x}{\log \left(\frac{4 x^2}{3}\right)+x}\right)-x\right)^2}-\frac{e^5}{2 x^2 \left(\log \left(\frac{2 x}{\log \left(\frac{4 x^2}{3}\right)+x}\right)-x\right)^4}\right)","\frac{\left(\frac{e^5}{\left(x-\log \left(\frac{2 x}{\log \left(\frac{4 x^2}{3}\right)+x}\right)\right)^2}-x\right)^2}{x^2}",1,"-2*E^5*(-1/2*E^5/(x^2*(-x + Log[(2*x)/(x + Log[(4*x^2)/3])])^4) + 1/(x*(-x + Log[(2*x)/(x + Log[(4*x^2)/3])])^2))","A",1
882,1,59,33,0.1598822,"\int \frac{150 x^2-500 x^4+100 e^x x^4+30 \log (x)+\left(-15-100 x^2+20 e^x x^2\right) \log ^2(x)+\left(-5+e^x\right) \log ^4(x)}{-150 x^3+500 x^4+100 e^x x^4-500 x^5+\left(-15 x+100 x^2+20 e^x x^2-100 x^3\right) \log ^2(x)+\left(5+e^x-5 x\right) \log ^4(x)} \, dx","Integrate[(150*x^2 - 500*x^4 + 100*E^x*x^4 + 30*Log[x] + (-15 - 100*x^2 + 20*E^x*x^2)*Log[x]^2 + (-5 + E^x)*Log[x]^4)/(-150*x^3 + 500*x^4 + 100*E^x*x^4 - 500*x^5 + (-15*x + 100*x^2 + 20*E^x*x^2 - 100*x^3)*Log[x]^2 + (5 + E^x - 5*x)*Log[x]^4),x]","\log \left(50 x^3-10 e^x x^2-50 x^2+15 x+5 x \log ^2(x)-e^x \log ^2(x)-5 \log ^2(x)\right)-\log \left(10 x^2+\log ^2(x)\right)","\log \left(x+\frac{1}{5} \left(\frac{3}{2 x+\frac{\log ^2(x)}{5 x}}-e^x\right)-1\right)",1,"-Log[10*x^2 + Log[x]^2] + Log[15*x - 50*x^2 - 10*E^x*x^2 + 50*x^3 - 5*Log[x]^2 - E^x*Log[x]^2 + 5*x*Log[x]^2]","A",1
883,1,21,22,0.1528291,"\int \frac{10 \log \left(\frac{x^4}{18}\right)-5 \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)+\left(20 \log \left(x^2\right)+5 \log \left(x^2\right) \log \left(\frac{x^4}{18}\right)\right) \log \left(\log \left(x^2\right)\right) \log \left(\log \left(\log \left(x^2\right)\right)\right)}{\log \left(x^2\right) \log \left(\log \left(x^2\right)\right)} \, dx","Integrate[(10*Log[x^4/18] - 5*Log[x^2]*Log[Log[x^2]] + (20*Log[x^2] + 5*Log[x^2]*Log[x^4/18])*Log[Log[x^2]]*Log[Log[Log[x^2]]])/(Log[x^2]*Log[Log[x^2]]),x]","5 x \log \left(\frac{x^4}{18}\right) \log \left(\log \left(\log \left(x^2\right)\right)\right)-5 x","5 \left(x \log \left(\frac{x^4}{18}\right) \log \left(\log \left(\log \left(x^2\right)\right)\right)-x\right)",1,"-5*x + 5*x*Log[x^4/18]*Log[Log[Log[x^2]]]","A",1
884,1,30,31,0.0237266,"\int \frac{684-102 x+45 x^2+6 x^3+e^2 \left(120-24 x+12 x^2\right)}{-114 x^2+17 x^3+x^4+e^2 \left(-20 x^2+4 x^3\right)} \, dx","Integrate[(684 - 102*x + 45*x^2 + 6*x^3 + E^2*(120 - 24*x + 12*x^2))/(-114*x^2 + 17*x^3 + x^4 + E^2*(-20*x^2 + 4*x^3)),x]","3 \left(\log \left(-x^2-4 e^2 x-17 x+20 e^2+114\right)+\frac{2}{x}\right)","3 \left(\frac{2}{x}+\log \left(\left(2 \left(\frac{x}{4}+e^2+4\right)+3\right) (5-x)+2\right)\right)",1,"3*(2/x + Log[114 + 20*E^2 - 17*x - 4*E^2*x - x^2])","A",1
885,1,24,21,0.273458,"\int \frac{-18+e^x (18-18 x)-18 x^2-18 \log (x)}{20+5 e^{2 x}-60 x+25 x^2+30 x^3+5 x^4+e^x \left(-20+30 x+10 x^2\right)+\left(20-10 e^x-30 x-10 x^2\right) \log (x)+5 \log ^2(x)} \, dx","Integrate[(-18 + E^x*(18 - 18*x) - 18*x^2 - 18*Log[x])/(20 + 5*E^(2*x) - 60*x + 25*x^2 + 30*x^3 + 5*x^4 + E^x*(-20 + 30*x + 10*x^2) + (20 - 10*E^x - 30*x - 10*x^2)*Log[x] + 5*Log[x]^2),x]","-\frac{18 x}{5 \left(-x^2-3 x-e^x+\log (x)+2\right)}","\frac{18 x}{5 \left(x (x+3)+e^x-\log (x)-2\right)}",1,"(-18*x)/(5*(2 - E^x - 3*x - x^2 + Log[x]))","A",1
886,0,0,24,0.1621169,"\int \frac{-64-768 x^2+256 x^3+x^5+20 x^7-5 x^8+160 x^9-80 x^{10}+650 x^{11}-480 x^{12}+1400 x^{13}-1290 x^{14}+1504 x^{15}-1360 x^{16}+645 x^{17}-160 x^{18}+20 x^{19}-x^{20}+e^8 \left(160 x^9-80 x^{10}+1930 x^{11}-1440 x^{12}+8040 x^{13}-7710 x^{14}+13120 x^{15}-13280 x^{16}+6430 x^{17}-1600 x^{18}+200 x^{19}-10 x^{20}\right)+e^{16} \left(1280 x^{13}-1280 x^{14}+5600 x^{15}-6480 x^{16}+3205 x^{17}-800 x^{18}+100 x^{19}-5 x^{20}\right)+e^{20} \left(-1024 x^{15}+1280 x^{16}-640 x^{17}+160 x^{18}-20 x^{19}+x^{20}\right)+e^4 \left(768 x^2-256 x^3-20 x^7+5 x^8-320 x^9+160 x^{10}-1940 x^{11}+1440 x^{12}-5480 x^{13}+5150 x^{14}-7040 x^{15}+6720 x^{16}-3220 x^{17}+800 x^{18}-100 x^{19}+5 x^{20}\right)+e^{12} \left(-640 x^{11}+480 x^{12}-5240 x^{13}+5130 x^{14}-12160 x^{15}+13120 x^{16}-6420 x^{17}+1600 x^{18}-200 x^{19}+10 x^{20}\right)}{x^5+20 x^7-5 x^8+160 x^9-80 x^{10}+650 x^{11}-480 x^{12}+1400 x^{13}-1290 x^{14}+1504 x^{15}-1360 x^{16}+645 x^{17}-160 x^{18}+20 x^{19}-x^{20}+e^8 \left(160 x^9-80 x^{10}+1930 x^{11}-1440 x^{12}+8040 x^{13}-7710 x^{14}+13120 x^{15}-13280 x^{16}+6430 x^{17}-1600 x^{18}+200 x^{19}-10 x^{20}\right)+e^{16} \left(1280 x^{13}-1280 x^{14}+5600 x^{15}-6480 x^{16}+3205 x^{17}-800 x^{18}+100 x^{19}-5 x^{20}\right)+e^{20} \left(-1024 x^{15}+1280 x^{16}-640 x^{17}+160 x^{18}-20 x^{19}+x^{20}\right)+e^4 \left(-20 x^7+5 x^8-320 x^9+160 x^{10}-1940 x^{11}+1440 x^{12}-5480 x^{13}+5150 x^{14}-7040 x^{15}+6720 x^{16}-3220 x^{17}+800 x^{18}-100 x^{19}+5 x^{20}\right)+e^{12} \left(-640 x^{11}+480 x^{12}-5240 x^{13}+5130 x^{14}-12160 x^{15}+13120 x^{16}-6420 x^{17}+1600 x^{18}-200 x^{19}+10 x^{20}\right)} \, dx","Integrate[(-64 - 768*x^2 + 256*x^3 + x^5 + 20*x^7 - 5*x^8 + 160*x^9 - 80*x^10 + 650*x^11 - 480*x^12 + 1400*x^13 - 1290*x^14 + 1504*x^15 - 1360*x^16 + 645*x^17 - 160*x^18 + 20*x^19 - x^20 + E^8*(160*x^9 - 80*x^10 + 1930*x^11 - 1440*x^12 + 8040*x^13 - 7710*x^14 + 13120*x^15 - 13280*x^16 + 6430*x^17 - 1600*x^18 + 200*x^19 - 10*x^20) + E^16*(1280*x^13 - 1280*x^14 + 5600*x^15 - 6480*x^16 + 3205*x^17 - 800*x^18 + 100*x^19 - 5*x^20) + E^20*(-1024*x^15 + 1280*x^16 - 640*x^17 + 160*x^18 - 20*x^19 + x^20) + E^4*(768*x^2 - 256*x^3 - 20*x^7 + 5*x^8 - 320*x^9 + 160*x^10 - 1940*x^11 + 1440*x^12 - 5480*x^13 + 5150*x^14 - 7040*x^15 + 6720*x^16 - 3220*x^17 + 800*x^18 - 100*x^19 + 5*x^20) + E^12*(-640*x^11 + 480*x^12 - 5240*x^13 + 5130*x^14 - 12160*x^15 + 13120*x^16 - 6420*x^17 + 1600*x^18 - 200*x^19 + 10*x^20))/(x^5 + 20*x^7 - 5*x^8 + 160*x^9 - 80*x^10 + 650*x^11 - 480*x^12 + 1400*x^13 - 1290*x^14 + 1504*x^15 - 1360*x^16 + 645*x^17 - 160*x^18 + 20*x^19 - x^20 + E^8*(160*x^9 - 80*x^10 + 1930*x^11 - 1440*x^12 + 8040*x^13 - 7710*x^14 + 13120*x^15 - 13280*x^16 + 6430*x^17 - 1600*x^18 + 200*x^19 - 10*x^20) + E^16*(1280*x^13 - 1280*x^14 + 5600*x^15 - 6480*x^16 + 3205*x^17 - 800*x^18 + 100*x^19 - 5*x^20) + E^20*(-1024*x^15 + 1280*x^16 - 640*x^17 + 160*x^18 - 20*x^19 + x^20) + E^4*(-20*x^7 + 5*x^8 - 320*x^9 + 160*x^10 - 1940*x^11 + 1440*x^12 - 5480*x^13 + 5150*x^14 - 7040*x^15 + 6720*x^16 - 3220*x^17 + 800*x^18 - 100*x^19 + 5*x^20) + E^12*(-640*x^11 + 480*x^12 - 5240*x^13 + 5130*x^14 - 12160*x^15 + 13120*x^16 - 6420*x^17 + 1600*x^18 - 200*x^19 + 10*x^20)),x]","\int \frac{-64-768 x^2+256 x^3+x^5+20 x^7-5 x^8+160 x^9-80 x^{10}+650 x^{11}-480 x^{12}+1400 x^{13}-1290 x^{14}+1504 x^{15}-1360 x^{16}+645 x^{17}-160 x^{18}+20 x^{19}-x^{20}+e^8 \left(160 x^9-80 x^{10}+1930 x^{11}-1440 x^{12}+8040 x^{13}-7710 x^{14}+13120 x^{15}-13280 x^{16}+6430 x^{17}-1600 x^{18}+200 x^{19}-10 x^{20}\right)+e^{16} \left(1280 x^{13}-1280 x^{14}+5600 x^{15}-6480 x^{16}+3205 x^{17}-800 x^{18}+100 x^{19}-5 x^{20}\right)+e^{20} \left(-1024 x^{15}+1280 x^{16}-640 x^{17}+160 x^{18}-20 x^{19}+x^{20}\right)+e^4 \left(768 x^2-256 x^3-20 x^7+5 x^8-320 x^9+160 x^{10}-1940 x^{11}+1440 x^{12}-5480 x^{13}+5150 x^{14}-7040 x^{15}+6720 x^{16}-3220 x^{17}+800 x^{18}-100 x^{19}+5 x^{20}\right)+e^{12} \left(-640 x^{11}+480 x^{12}-5240 x^{13}+5130 x^{14}-12160 x^{15}+13120 x^{16}-6420 x^{17}+1600 x^{18}-200 x^{19}+10 x^{20}\right)}{x^5+20 x^7-5 x^8+160 x^9-80 x^{10}+650 x^{11}-480 x^{12}+1400 x^{13}-1290 x^{14}+1504 x^{15}-1360 x^{16}+645 x^{17}-160 x^{18}+20 x^{19}-x^{20}+e^8 \left(160 x^9-80 x^{10}+1930 x^{11}-1440 x^{12}+8040 x^{13}-7710 x^{14}+13120 x^{15}-13280 x^{16}+6430 x^{17}-1600 x^{18}+200 x^{19}-10 x^{20}\right)+e^{16} \left(1280 x^{13}-1280 x^{14}+5600 x^{15}-6480 x^{16}+3205 x^{17}-800 x^{18}+100 x^{19}-5 x^{20}\right)+e^{20} \left(-1024 x^{15}+1280 x^{16}-640 x^{17}+160 x^{18}-20 x^{19}+x^{20}\right)+e^4 \left(-20 x^7+5 x^8-320 x^9+160 x^{10}-1940 x^{11}+1440 x^{12}-5480 x^{13}+5150 x^{14}-7040 x^{15}+6720 x^{16}-3220 x^{17}+800 x^{18}-100 x^{19}+5 x^{20}\right)+e^{12} \left(-640 x^{11}+480 x^{12}-5240 x^{13}+5130 x^{14}-12160 x^{15}+13120 x^{16}-6420 x^{17}+1600 x^{18}-200 x^{19}+10 x^{20}\right)} \, dx","\frac{16}{\left((x-4) \left(e^4 x-x\right) x^2+x\right)^4}+x",1,"Integrate[(-64 - 768*x^2 + 256*x^3 + x^5 + 20*x^7 - 5*x^8 + 160*x^9 - 80*x^10 + 650*x^11 - 480*x^12 + 1400*x^13 - 1290*x^14 + 1504*x^15 - 1360*x^16 + 645*x^17 - 160*x^18 + 20*x^19 - x^20 + E^8*(160*x^9 - 80*x^10 + 1930*x^11 - 1440*x^12 + 8040*x^13 - 7710*x^14 + 13120*x^15 - 13280*x^16 + 6430*x^17 - 1600*x^18 + 200*x^19 - 10*x^20) + E^16*(1280*x^13 - 1280*x^14 + 5600*x^15 - 6480*x^16 + 3205*x^17 - 800*x^18 + 100*x^19 - 5*x^20) + E^20*(-1024*x^15 + 1280*x^16 - 640*x^17 + 160*x^18 - 20*x^19 + x^20) + E^4*(768*x^2 - 256*x^3 - 20*x^7 + 5*x^8 - 320*x^9 + 160*x^10 - 1940*x^11 + 1440*x^12 - 5480*x^13 + 5150*x^14 - 7040*x^15 + 6720*x^16 - 3220*x^17 + 800*x^18 - 100*x^19 + 5*x^20) + E^12*(-640*x^11 + 480*x^12 - 5240*x^13 + 5130*x^14 - 12160*x^15 + 13120*x^16 - 6420*x^17 + 1600*x^18 - 200*x^19 + 10*x^20))/(x^5 + 20*x^7 - 5*x^8 + 160*x^9 - 80*x^10 + 650*x^11 - 480*x^12 + 1400*x^13 - 1290*x^14 + 1504*x^15 - 1360*x^16 + 645*x^17 - 160*x^18 + 20*x^19 - x^20 + E^8*(160*x^9 - 80*x^10 + 1930*x^11 - 1440*x^12 + 8040*x^13 - 7710*x^14 + 13120*x^15 - 13280*x^16 + 6430*x^17 - 1600*x^18 + 200*x^19 - 10*x^20) + E^16*(1280*x^13 - 1280*x^14 + 5600*x^15 - 6480*x^16 + 3205*x^17 - 800*x^18 + 100*x^19 - 5*x^20) + E^20*(-1024*x^15 + 1280*x^16 - 640*x^17 + 160*x^18 - 20*x^19 + x^20) + E^4*(-20*x^7 + 5*x^8 - 320*x^9 + 160*x^10 - 1940*x^11 + 1440*x^12 - 5480*x^13 + 5150*x^14 - 7040*x^15 + 6720*x^16 - 3220*x^17 + 800*x^18 - 100*x^19 + 5*x^20) + E^12*(-640*x^11 + 480*x^12 - 5240*x^13 + 5130*x^14 - 12160*x^15 + 13120*x^16 - 6420*x^17 + 1600*x^18 - 200*x^19 + 10*x^20)), x]","F",-1
887,1,30,27,0.0632919,"\int \frac{e^{4+2 x+x^2} \left(-3-6 x-6 x^2\right)+e^{2 x} \left(6+24 x+12 x^2\right)}{\left(4+e^{4+2 x+x^2} x+e^{2 x} \left(-2 x-2 x^2\right)\right) \log ^2\left(4+e^{4+2 x+x^2} x+e^{2 x} \left(-2 x-2 x^2\right)\right)} \, dx","Integrate[(E^(4 + 2*x + x^2)*(-3 - 6*x - 6*x^2) + E^(2*x)*(6 + 24*x + 12*x^2))/((4 + E^(4 + 2*x + x^2)*x + E^(2*x)*(-2*x - 2*x^2))*Log[4 + E^(4 + 2*x + x^2)*x + E^(2*x)*(-2*x - 2*x^2)]^2),x]","\frac{3}{\log \left(e^{x^2+2 x+4} x-2 e^{2 x} (x+1) x+4\right)}","\frac{3}{\log \left(e^{2 x} x \left(e^{x^2+4}-2 (x+1)\right)+4\right)}",1,"3/Log[4 + E^(4 + 2*x + x^2)*x - 2*E^(2*x)*x*(1 + x)]","A",1
888,1,32,27,0.035,"\int \frac{-3+\left(6+x+\log (2)+e^{2 x} (12+2 x+2 \log (2))+(-12-2 x-2 \log (2)) \log (25)\right) \log ^2(6+x+\log (2))}{(12+2 x+2 \log (2)) \log ^2(6+x+\log (2))} \, dx","Integrate[(-3 + (6 + x + Log[2] + E^(2*x)*(12 + 2*x + 2*Log[2]) + (-12 - 2*x - 2*Log[2])*Log[25])*Log[6 + x + Log[2]]^2)/((12 + 2*x + 2*Log[2])*Log[6 + x + Log[2]]^2),x]","\frac{x}{2}+\frac{e^{2 x}}{2}+x (-\log (25))+\frac{3}{2 \log (x+6+\log (2))}","\frac{1}{2} \left(x+e^{2 x}+\frac{3}{\log (x+6+\log (2))}\right)-x \log (25)",1,"E^(2*x)/2 + x/2 - x*Log[25] + 3/(2*Log[6 + x + Log[2]])","A",1
889,1,23,22,0.0953432,"\int \frac{x+\left(-x+x^2+200 x^3\right) \log (x)+\log ^2(x)+\left(-x-200 x^2\right) \log ^3(x)}{-x^2 \log (x)+x \log ^3(x)} \, dx","Integrate[(x + (-x + x^2 + 200*x^3)*Log[x] + Log[x]^2 + (-x - 200*x^2)*Log[x]^3)/(-(x^2*Log[x]) + x*Log[x]^3),x]","-100 x^2-x+\log \left(x-\log ^2(x)\right)-\log (\log (x))","-100 x^2-x+\log \left(\frac{x}{\log (x)}-\log (x)\right)-1",1,"-x - 100*x^2 - Log[Log[x]] + Log[x - Log[x]^2]","A",1
890,1,69,38,0.2909051,"\int \frac{4+16 x-20 x^2-8 x^3+21 x^4+2 x^5-8 x^6+x^8+e^{16} \left(16-8 x^2+x^4\right)+e^{12} \left(-64 x+32 x^3-4 x^5\right)+e^8 \left(16+32 x+84 x^2-16 x^3-46 x^4+2 x^5+6 x^6\right)+e^4 \left(-32 x^2-56 x^3+16 x^4+30 x^5-2 x^6-4 x^7\right)+\left(32 x^2+56 x^3-16 x^4-30 x^5+2 x^6+4 x^7+e^{12} \left(-64+32 x^2-4 x^4\right)+e^8 \left(192 x-96 x^3+12 x^5\right)+e^4 \left(-32-64 x-168 x^2+32 x^3+92 x^4-4 x^5-12 x^6\right)\right) \log (x)+\left(16+32 x+84 x^2-16 x^3-46 x^4+2 x^5+6 x^6+e^8 \left(96-48 x^2+6 x^4\right)+e^4 \left(-192 x+96 x^3-12 x^5\right)\right) \log ^2(x)+\left(64 x-32 x^3+4 x^5+e^4 \left(-64+32 x^2-4 x^4\right)\right) \log ^3(x)+\left(16-8 x^2+x^4\right) \log ^4(x)}{4+12 x^2+5 x^4-6 x^6+x^8+e^{16} \left(16-8 x^2+x^4\right)+e^{12} \left(-64 x+32 x^3-4 x^5\right)+e^8 \left(16+84 x^2-46 x^4+6 x^6\right)+e^4 \left(-32 x-40 x^3+28 x^5-4 x^7\right)+\left(32 x+40 x^3-28 x^5+4 x^7+e^{12} \left(-64+32 x^2-4 x^4\right)+e^8 \left(192 x-96 x^3+12 x^5\right)+e^4 \left(-32-168 x^2+92 x^4-12 x^6\right)\right) \log (x)+\left(16+84 x^2-46 x^4+6 x^6+e^8 \left(96-48 x^2+6 x^4\right)+e^4 \left(-192 x+96 x^3-12 x^5\right)\right) \log ^2(x)+\left(64 x-32 x^3+4 x^5+e^4 \left(-64+32 x^2-4 x^4\right)\right) \log ^3(x)+\left(16-8 x^2+x^4\right) \log ^4(x)} \, dx","Integrate[(4 + 16*x - 20*x^2 - 8*x^3 + 21*x^4 + 2*x^5 - 8*x^6 + x^8 + E^16*(16 - 8*x^2 + x^4) + E^12*(-64*x + 32*x^3 - 4*x^5) + E^8*(16 + 32*x + 84*x^2 - 16*x^3 - 46*x^4 + 2*x^5 + 6*x^6) + E^4*(-32*x^2 - 56*x^3 + 16*x^4 + 30*x^5 - 2*x^6 - 4*x^7) + (32*x^2 + 56*x^3 - 16*x^4 - 30*x^5 + 2*x^6 + 4*x^7 + E^12*(-64 + 32*x^2 - 4*x^4) + E^8*(192*x - 96*x^3 + 12*x^5) + E^4*(-32 - 64*x - 168*x^2 + 32*x^3 + 92*x^4 - 4*x^5 - 12*x^6))*Log[x] + (16 + 32*x + 84*x^2 - 16*x^3 - 46*x^4 + 2*x^5 + 6*x^6 + E^8*(96 - 48*x^2 + 6*x^4) + E^4*(-192*x + 96*x^3 - 12*x^5))*Log[x]^2 + (64*x - 32*x^3 + 4*x^5 + E^4*(-64 + 32*x^2 - 4*x^4))*Log[x]^3 + (16 - 8*x^2 + x^4)*Log[x]^4)/(4 + 12*x^2 + 5*x^4 - 6*x^6 + x^8 + E^16*(16 - 8*x^2 + x^4) + E^12*(-64*x + 32*x^3 - 4*x^5) + E^8*(16 + 84*x^2 - 46*x^4 + 6*x^6) + E^4*(-32*x - 40*x^3 + 28*x^5 - 4*x^7) + (32*x + 40*x^3 - 28*x^5 + 4*x^7 + E^12*(-64 + 32*x^2 - 4*x^4) + E^8*(192*x - 96*x^3 + 12*x^5) + E^4*(-32 - 168*x^2 + 92*x^4 - 12*x^6))*Log[x] + (16 + 84*x^2 - 46*x^4 + 6*x^6 + E^8*(96 - 48*x^2 + 6*x^4) + E^4*(-192*x + 96*x^3 - 12*x^5))*Log[x]^2 + (64*x - 32*x^3 + 4*x^5 + E^4*(-64 + 32*x^2 - 4*x^4))*Log[x]^3 + (16 - 8*x^2 + x^4)*Log[x]^4),x]","\frac{\left(x^2-4\right) x^2}{x^4-3 x^2-2 e^4 \left(x^2-4\right) x+e^8 \left(x^2-4\right)+\left(x^2-4\right) \log ^2(x)+2 \left(x-e^4\right) \left(x^2-4\right) \log (x)-2}+x","\frac{x^2}{\frac{x \left(x-\frac{2}{x}\right)}{x^2-4}+\left(-x-\log (x)+e^4\right)^2}+x",1,"x + (x^2*(-4 + x^2))/(-2 - 3*x^2 + x^4 + E^8*(-4 + x^2) - 2*E^4*x*(-4 + x^2) + 2*(-E^4 + x)*(-4 + x^2)*Log[x] + (-4 + x^2)*Log[x]^2)","A",1
891,1,24,25,0.0853818,"\int \frac{e^{\frac{1}{4} (-1-4 x) \log ^2\left(\frac{x^2+\log ^2(x)}{x^2}\right)} \left(\left((-1-4 x) \log (x)+(1+4 x) \log ^2(x)\right) \log \left(\frac{x^2+\log ^2(x)}{x^2}\right)+\left(-x^3-x \log ^2(x)\right) \log ^2\left(\frac{x^2+\log ^2(x)}{x^2}\right)\right)}{x^3+x \log ^2(x)} \, dx","Integrate[(E^(((-1 - 4*x)*Log[(x^2 + Log[x]^2)/x^2]^2)/4)*(((-1 - 4*x)*Log[x] + (1 + 4*x)*Log[x]^2)*Log[(x^2 + Log[x]^2)/x^2] + (-x^3 - x*Log[x]^2)*Log[(x^2 + Log[x]^2)/x^2]^2))/(x^3 + x*Log[x]^2),x]","e^{-\frac{1}{4} (4 x+1) \log ^2\left(\frac{\log ^2(x)}{x^2}+1\right)}","e^{\left(-x-\frac{1}{4}\right) \log ^2\left(\frac{\log ^2(x)}{x^2}+1\right)}-5",1,"E^(-1/4*((1 + 4*x)*Log[1 + Log[x]^2/x^2]^2))","A",1
892,1,34,12,0.0132486,"\int \left(2 e^{2 x}+12 x+4 x^3+e^x \left(-6-4 x-2 x^2\right)\right) \, dx","Integrate[2*E^(2*x) + 12*x + 4*x^3 + E^x*(-6 - 4*x - 2*x^2),x]","2 \left(\frac{x^4}{2}+3 x^2-e^x \left(x^2+3\right)+\frac{e^{2 x}}{2}\right)","\left(x^2-e^x+3\right)^2",1,"2*(E^(2*x)/2 + 3*x^2 + x^4/2 - E^x*(3 + x^2))","B",1
893,1,40,31,0.201191,"\int \frac{24-4 x+100 x^2-117 x^3+12 x^4+12 x^5+e^{2 x} \left(12 x^2+3 x^3\right)+e^x \left(8+4 x+72 x^2-30 x^3-12 x^4\right)+\left(-36+31 x+10 x^2+e^x \left(-12-11 x-2 x^2\right)\right) \log \left(4 x+x^2\right)}{\left(108 x^3-117 x^4+12 x^5+12 x^6+e^{2 x} \left(12 x^3+3 x^4\right)+e^x \left(72 x^3-30 x^4-12 x^5\right)+\left(12 x-5 x^2-2 x^3+e^x \left(4 x+x^2\right)\right) \log \left(4 x+x^2\right)\right) \log \left(\frac{81 x^4+9 e^{2 x} x^4-108 x^5+36 x^6+e^x \left(54 x^4-36 x^5\right)+\left(18 x^2+6 e^x x^2-12 x^3\right) \log \left(4 x+x^2\right)+\log ^2\left(4 x+x^2\right)}{9 x^3+e^{2 x} x^3-12 x^4+4 x^5+e^x \left(6 x^3-4 x^4\right)}\right)} \, dx","Integrate[(24 - 4*x + 100*x^2 - 117*x^3 + 12*x^4 + 12*x^5 + E^(2*x)*(12*x^2 + 3*x^3) + E^x*(8 + 4*x + 72*x^2 - 30*x^3 - 12*x^4) + (-36 + 31*x + 10*x^2 + E^x*(-12 - 11*x - 2*x^2))*Log[4*x + x^2])/((108*x^3 - 117*x^4 + 12*x^5 + 12*x^6 + E^(2*x)*(12*x^3 + 3*x^4) + E^x*(72*x^3 - 30*x^4 - 12*x^5) + (12*x - 5*x^2 - 2*x^3 + E^x*(4*x + x^2))*Log[4*x + x^2])*Log[(81*x^4 + 9*E^(2*x)*x^4 - 108*x^5 + 36*x^6 + E^x*(54*x^4 - 36*x^5) + (18*x^2 + 6*E^x*x^2 - 12*x^3)*Log[4*x + x^2] + Log[4*x + x^2]^2)/(9*x^3 + E^(2*x)*x^3 - 12*x^4 + 4*x^5 + E^x*(6*x^3 - 4*x^4))]),x]","\log \left(\log \left(\frac{\left(\log (x (x+4))-3 x^2 \left(2 x-e^x-3\right)\right)^2}{\left(-2 x+e^x+3\right)^2 x^3}\right)\right)","\log \left(\log \left(x \left(3-\frac{\log (x (x+4))}{x^2 \left(2 x-e^x-3\right)}\right)^2\right)\right)",1,"Log[Log[(-3*x^2*(-3 - E^x + 2*x) + Log[x*(4 + x)])^2/((3 + E^x - 2*x)^2*x^3)]]","A",1
894,1,16,18,0.0740826,"\int \frac{e^x \left(-x-3 x^2-x^3+\log (3)\right)+e^x x \log (3) \log (x)}{x} \, dx","Integrate[(E^x*(-x - 3*x^2 - x^3 + Log[3]) + E^x*x*Log[3]*Log[x])/x,x]","-e^x \left(x^2+x-\log (3) \log (x)\right)","e^x \left(-x^2-x+\log (3) \log (x)\right)",1,"-(E^x*(x + x^2 - Log[3]*Log[x]))","A",1
895,1,57,25,0.0719689,"\int \frac{1}{9} \left(-17+8 x+12 x^2+e^{2 x} (1+2 x)+e^{2 x^2} \left(1+4 x^2\right)+e^x \left(2+10 x+4 x^2\right)+e^{x^2} \left(-2-8 x-4 x^2-8 x^3+e^x \left(-2-2 x-4 x^2\right)\right)\right) \, dx","Integrate[(-17 + 8*x + 12*x^2 + E^(2*x)*(1 + 2*x) + E^(2*x^2)*(1 + 4*x^2) + E^x*(2 + 10*x + 4*x^2) + E^x^2*(-2 - 8*x - 4*x^2 - 8*x^3 + E^x*(-2 - 2*x - 4*x^2)))/9,x]","\frac{1}{9} x \left(4 x^2+e^{2 x^2}-2 e^{x^2+x}-2 e^{x^2} (2 x+1)+4 x+e^{2 x}+e^x (4 x+2)-17\right)","x \left(\frac{1}{9} \left(-e^{x^2}+2 x+e^x+1\right)^2-2\right)",1,"(x*(-17 + E^(2*x) + E^(2*x^2) - 2*E^(x + x^2) + 4*x + 4*x^2 - 2*E^x^2*(1 + 2*x) + E^x*(2 + 4*x)))/9","B",1
896,1,19,18,0.0050957,"\int -\frac{\exp \left(4+\frac{1}{3} \left(-9-e^4 \log (x)+3 \log ^2(\log (4))\right)\right)}{3 x} \, dx","Integrate[-1/3*E^(4 + (-9 - E^4*Log[x] + 3*Log[Log[4]]^2)/3)/x,x]","x^{-\frac{e^4}{3}} e^{\log ^2(\log (4))-3}","e^{-\frac{1}{3} e^4 \log (x)-3+\log ^2(\log (4))}",1,"E^(-3 + Log[Log[4]]^2)/x^(E^4/3)","A",1
897,1,19,18,1.308512,"\int \frac{\exp \left(e^{\frac{6+x^4+5 x^5 \log (x)}{x^3}}+\frac{6+x^4+5 x^5 \log (x)}{x^3}\right) \left(-18+x^4+5 x^5+10 x^5 \log (x)\right)}{x^4} \, dx","Integrate[(E^(E^((6 + x^4 + 5*x^5*Log[x])/x^3) + (6 + x^4 + 5*x^5*Log[x])/x^3)*(-18 + x^4 + 5*x^5 + 10*x^5*Log[x]))/x^4,x]","e^{e^{\frac{6}{x^3}+x} x^{5 x^2}}","e^{e^{\frac{6}{x^3}+5 x^2 \log (x)+x}}",1,"E^(E^(6/x^3 + x)*x^(5*x^2))","A",1
898,1,20,20,0.0267903,"\int \frac{(-3-8 x) \log (2)-5 \log (2) \log (x)}{-72 x+144 x^2+180 x \log (x)+\left(-24 x+48 x^2+60 x \log (x)\right) \log \left(50 x-100 x^2-125 x \log (x)\right)+\left(-2 x+4 x^2+5 x \log (x)\right) \log ^2\left(50 x-100 x^2-125 x \log (x)\right)} \, dx","Integrate[((-3 - 8*x)*Log[2] - 5*Log[2]*Log[x])/(-72*x + 144*x^2 + 180*x*Log[x] + (-24*x + 48*x^2 + 60*x*Log[x])*Log[50*x - 100*x^2 - 125*x*Log[x]] + (-2*x + 4*x^2 + 5*x*Log[x])*Log[50*x - 100*x^2 - 125*x*Log[x]]^2),x]","\frac{\log (2)}{\log (-25 x (4 x+5 \log (x)-2))+6}","\frac{\log (2)}{\log (25 x (-4 x-5 \log (x)+2))+6}",1,"Log[2]/(6 + Log[-25*x*(-2 + 4*x + 5*Log[x])])","A",1
899,1,61,37,0.5005836,"\int \frac{\left(50-10 e^x-10 x\right) \log ^2\left(-5+e^x+x\right)+e^{\frac{2 x-2 x^2}{\log \left(-5+e^x+x\right)}} \left(-4 x^3+8 x^4-4 x^5+e^x \left(-4 x^3+8 x^4-4 x^5\right)+\left(-20 x^2+64 x^3-52 x^4+8 x^5+e^x \left(4 x^2-12 x^3+8 x^4\right)\right) \log \left(-5+e^x+x\right)+\left(-20 x+34 x^2-6 x^3+e^x \left(4 x-6 x^2\right)\right) \log ^2\left(-5+e^x+x\right)\right)}{\left(-125 x^2+25 e^x x^2+25 x^3\right) \log ^2\left(-5+e^x+x\right)+e^{\frac{2 x-2 x^2}{\log \left(-5+e^x+x\right)}} \left(50 x^3-60 x^4+10 x^5+e^x \left(-10 x^3+10 x^4\right)\right) \log ^2\left(-5+e^x+x\right)+e^{\frac{2 \left(2 x-2 x^2\right)}{\log \left(-5+e^x+x\right)}} \left(-5 x^4+11 x^5-7 x^6+x^7+e^x \left(x^4-2 x^5+x^6\right)\right) \log ^2\left(-5+e^x+x\right)} \, dx","Integrate[((50 - 10*E^x - 10*x)*Log[-5 + E^x + x]^2 + E^((2*x - 2*x^2)/Log[-5 + E^x + x])*(-4*x^3 + 8*x^4 - 4*x^5 + E^x*(-4*x^3 + 8*x^4 - 4*x^5) + (-20*x^2 + 64*x^3 - 52*x^4 + 8*x^5 + E^x*(4*x^2 - 12*x^3 + 8*x^4))*Log[-5 + E^x + x] + (-20*x + 34*x^2 - 6*x^3 + E^x*(4*x - 6*x^2))*Log[-5 + E^x + x]^2))/((-125*x^2 + 25*E^x*x^2 + 25*x^3)*Log[-5 + E^x + x]^2 + E^((2*x - 2*x^2)/Log[-5 + E^x + x])*(50*x^3 - 60*x^4 + 10*x^5 + E^x*(-10*x^3 + 10*x^4))*Log[-5 + E^x + x]^2 + E^((2*(2*x - 2*x^2))/Log[-5 + E^x + x])*(-5*x^4 + 11*x^5 - 7*x^6 + x^7 + E^x*(x^4 - 2*x^5 + x^6))*Log[-5 + E^x + x]^2),x]","\frac{2 e^{\frac{2 x^2}{\log \left(x+e^x-5\right)}}}{x \left(5 e^{\frac{2 x^2}{\log \left(x+e^x-5\right)}}+(x-1) x e^{\frac{2 x}{\log \left(x+e^x-5\right)}}\right)}","\frac{2}{x \left(5-\left(x-x^2\right) e^{\frac{2 (1-x) x}{\log \left(x+e^x-5\right)}}\right)}",1,"(2*E^((2*x^2)/Log[-5 + E^x + x]))/(x*(5*E^((2*x^2)/Log[-5 + E^x + x]) + E^((2*x)/Log[-5 + E^x + x])*(-1 + x)*x))","A",1
900,1,20,24,0.0561666,"\int \frac{3 x+e^{\frac{1}{3} \left(x-e^x \log (x)\right)} \left(e^x-x+e^x x \log (x)\right)}{3 x} \, dx","Integrate[(3*x + E^((x - E^x*Log[x])/3)*(E^x - x + E^x*x*Log[x]))/(3*x),x]","x-e^{x/3} x^{-\frac{e^x}{3}}","x-e^{x+\frac{1}{3} \left(-2 x-e^x \log (x)\right)}+5",1,"x - E^(x/3)/x^(E^x/3)","A",1
901,1,18,18,0.0755174,"\int \log ^{-1+2251799813685248 e^{125+5 \log ^2(2)}}(x) \left(9007199254740992 e^{125+5 \log ^2(2)}+4 \log (x)\right) \, dx","Integrate[Log[x]^(-1 + 2251799813685248*E^(125 + 5*Log[2]^2))*(9007199254740992*E^(125 + 5*Log[2]^2) + 4*Log[x]),x]","4 x \log ^{2251799813685248 e^{5 \left(25+\log ^2(2)\right)}}(x)","4 x \log ^{2 e^{5 (5+\log (2))^2}}(x)",1,"4*x*Log[x]^(2251799813685248*E^(5*(25 + Log[2]^2)))","A",1
902,1,24,24,0.0897913,"\int \frac{\left(e^{-3+x} \left(-2 e^5-2 x\right)-10 e^5 x-10 x^2+\left(10 e^5 x+e^{-3+x} \left(-2 x+2 e^5 x+2 x^2\right)\right) \log (x)\right) \log \left(\frac{e^{-3+x}+5 x}{\left(e^5+x\right) \log (x)}\right)}{\left(5 e^5 x^2+5 x^3+e^{-3+x} \left(e^5 x+x^2\right)\right) \log (x)} \, dx","Integrate[((E^(-3 + x)*(-2*E^5 - 2*x) - 10*E^5*x - 10*x^2 + (10*E^5*x + E^(-3 + x)*(-2*x + 2*E^5*x + 2*x^2))*Log[x])*Log[(E^(-3 + x) + 5*x)/((E^5 + x)*Log[x])])/((5*E^5*x^2 + 5*x^3 + E^(-3 + x)*(E^5*x + x^2))*Log[x]),x]","\log ^2\left(\frac{5 x+e^{x-3}}{\left(x+e^5\right) \log (x)}\right)","\log ^2\left(\frac{5 x+e^{x-3}}{\left(x+e^5\right) \log (x)}\right)",1,"Log[(E^(-3 + x) + 5*x)/((E^5 + x)*Log[x])]^2","A",1
903,1,9,18,0.0000644,"\int \left(3+e^2\right) \, dx","Integrate[3 + E^2,x]","e^2 x+3 x","3 (x-5)+\log \left(\frac{3 e^{e^2 x}}{4}\right)",1,"3*x + E^2*x","A",1
904,1,36,29,0.0371962,"\int \frac{1985-2010 x+575 x^2-30 x^3-5 x^4+e^6 \left(125+5 x^2\right)+e^3 \left(1000-500 x+70 x^2\right)}{1-32 x+272 x^2+e^{12} x^2-258 x^3+96 x^4-16 x^5+x^6+e^9 \left(16 x^2-4 x^3\right)+e^6 \left(-2 x+96 x^2-48 x^3+6 x^4\right)+e^3 \left(-16 x+260 x^2-192 x^3+48 x^4-4 x^5\right)} \, dx","Integrate[(1985 - 2010*x + 575*x^2 - 30*x^3 - 5*x^4 + E^6*(125 + 5*x^2) + E^3*(1000 - 500*x + 70*x^2))/(1 - 32*x + 272*x^2 + E^12*x^2 - 258*x^3 + 96*x^4 - 16*x^5 + x^6 + E^9*(16*x^2 - 4*x^3) + E^6*(-2*x + 96*x^2 - 48*x^3 + 6*x^4) + E^3*(-16*x + 260*x^2 - 192*x^3 + 48*x^4 - 4*x^5)),x]","\frac{5 \left(x^2+3 x-25\right)}{x^3-2 \left(4+e^3\right) x^2+\left(4+e^3\right)^2 x-1}","\frac{25 \left(5-\frac{1}{5} x (x+3)\right)}{1-\left(-x+e^3+4\right)^2 x}",1,"(5*(-25 + 3*x + x^2))/(-1 + (4 + E^3)^2*x - 2*(4 + E^3)*x^2 + x^3)","A",1
905,1,56,30,0.1723784,"\int \frac{36 x+12 x^2+3 x^5-3 x^6+e^{3 \log ^2(x)} \left(-3 x^2+3 x^3\right)+e^{2 \log ^2(x)} \left(9 x^3-9 x^4\right)+e^{\log ^2(x)} \left(-12-12 x-9 x^4+9 x^5-48 \log (x)\right)}{8 x^2+2 e^{3 \log ^2(x)} x^3-6 e^{2 \log ^2(x)} x^4-2 x^6+e^{\log ^2(x)} \left(-8 x+6 x^5\right)} \, dx","Integrate[(36*x + 12*x^2 + 3*x^5 - 3*x^6 + E^(3*Log[x]^2)*(-3*x^2 + 3*x^3) + E^(2*Log[x]^2)*(9*x^3 - 9*x^4) + E^Log[x]^2*(-12 - 12*x - 9*x^4 + 9*x^5 - 48*Log[x]))/(8*x^2 + 2*E^(3*Log[x]^2)*x^3 - 6*E^(2*Log[x]^2)*x^4 - 2*x^6 + E^Log[x]^2*(-8*x + 6*x^5)),x]","\frac{3}{2} \left(-\log \left(-x^2+x e^{\log ^2(x)}+2\right)-\log \left(x^2-x e^{\log ^2(x)}+2\right)+x+2 \log \left(e^{\log ^2(x)}-x\right)+\log (x)\right)","\frac{3}{2} \left(x-\log \left(x \left(\frac{4}{x^2 \left(x-e^{\log ^2(x)}\right)^2}-1\right)\right)\right)",1,"(3*(x + 2*Log[E^Log[x]^2 - x] + Log[x] - Log[2 + E^Log[x]^2*x - x^2] - Log[2 - E^Log[x]^2*x + x^2]))/2","A",1
906,1,41,20,0.0055555,"\int \frac{-392-112 x+1944 e^4 x^8+e^2 \left(-1008 x^4-432 x^5\right)}{x^3} \, dx","Integrate[(-392 - 112*x + 1944*E^4*x^8 + E^2*(-1008*x^4 - 432*x^5))/x^3,x]","8 \left(\frac{81 e^4 x^6}{2}-18 e^2 x^3-63 e^2 x^2+\frac{49}{2 x^2}+\frac{14}{x}\right)","\frac{4 \left(9 e^2 x^4-2 x-7\right)^2}{x^2}",1,"8*(49/(2*x^2) + 14/x - 63*E^2*x^2 - 18*E^2*x^3 + (81*E^4*x^6)/2)","B",1
907,1,14,26,0.0053508,"\int \left(-12 e x^2+e^{1+x} (4+4 x)\right) \, dx","Integrate[-12*E*x^2 + E^(1 + x)*(4 + 4*x),x]","4 e \left(e^x x-x^3\right)","e \left(4 \left(\frac{\frac{e^x}{x}-2 x}{x}+1\right) x^3-4\right)",1,"4*E*(E^x*x - x^3)","A",1
908,1,79,25,0.031625,"\int \frac{-125+x+4000 x^2-32000 e^4 x^2+4000 x^3-32000 x^4-64000 x^5-32000 x^6+e^2 \left(-4000 x+64000 x^3+64000 x^4\right)+\left(8000 x^2-64000 e^4 x^2+12000 x^3-128000 x^4-320000 x^5-192000 x^6+e^2 \left(-4000 x+192000 x^3+256000 x^4\right)\right) \log (x)}{x} \, dx","Integrate[(-125 + x + 4000*x^2 - 32000*E^4*x^2 + 4000*x^3 - 32000*x^4 - 64000*x^5 - 32000*x^6 + E^2*(-4000*x + 64000*x^3 + 64000*x^4) + (8000*x^2 - 64000*E^4*x^2 + 12000*x^3 - 128000*x^4 - 320000*x^5 - 192000*x^6 + E^2*(-4000*x + 192000*x^3 + 256000*x^4))*Log[x])/x,x]","-32000 x^6 \log (x)-64000 x^5 \log (x)+64000 e^2 x^4 \log (x)-32000 x^4 \log (x)+64000 e^2 x^3 \log (x)+4000 x^3 \log (x)-32000 e^4 x^2 \log (x)+4000 x^2 \log (x)+x-4000 e^2 x \log (x)-125 \log (x)","x-5 \left(80 x \left(-x^2-x+e^2\right)+5\right)^2 \log (x)",1,"x - 125*Log[x] - 4000*E^2*x*Log[x] + 4000*x^2*Log[x] - 32000*E^4*x^2*Log[x] + 4000*x^3*Log[x] + 64000*E^2*x^3*Log[x] - 32000*x^4*Log[x] + 64000*E^2*x^4*Log[x] - 64000*x^5*Log[x] - 32000*x^6*Log[x]","B",1
909,1,47,33,0.284419,"\int \frac{-12+3 e^5+6 x-x^2+e^{2 x} \left(-64+104 x-52 x^2+8 x^3+e^5 \left(64-104 x+52 x^2-8 x^3\right)\right)}{9-6 x+x^2} \, dx","Integrate[(-12 + 3*E^5 + 6*x - x^2 + E^(2*x)*(-64 + 104*x - 52*x^2 + 8*x^3 + E^5*(64 - 104*x + 52*x^2 - 8*x^3)))/(9 - 6*x + x^2),x]","\frac{-x^2+4 e^{2 x} (x-2)^2-4 e^{2 x+5} (x-2)^2+3 x-3 e^5+3}{x-3}","-x+\frac{\left(e^5-1\right) \left(e^{2 x} (4-2 x)^2+x\right)}{3-x}-4",1,"(3 - 3*E^5 + 4*E^(2*x)*(-2 + x)^2 - 4*E^(5 + 2*x)*(-2 + x)^2 + 3*x - x^2)/(-3 + x)","A",1
910,1,26,29,0.0485191,"\int \frac{-2 e^2 x-2 e^{2 x} x-6 x^2-50 x^3+40 x^4-8 x^5+e^x \left(3-3 x+4 e x+20 x^2-8 x^3\right)+e \left(-3-20 x^2+8 x^3\right)}{e^2+e^{2 x}+25 x^2-20 x^3+4 x^4+e \left(10 x-4 x^2\right)+e^x \left(-2 e-10 x+4 x^2\right)} \, dx","Integrate[(-2*E^2*x - 2*E^(2*x)*x - 6*x^2 - 50*x^3 + 40*x^4 - 8*x^5 + E^x*(3 - 3*x + 4*E*x + 20*x^2 - 8*x^3) + E*(-3 - 20*x^2 + 8*x^3))/(E^2 + E^(2*x) + 25*x^2 - 20*x^3 + 4*x^4 + E*(10*x - 4*x^2) + E^x*(-2*E - 10*x + 4*x^2)),x]","\frac{3 x}{2 x^2-5 x+e^x-e}-x^2","4-x \left(\frac{3}{x^2+(4-3 x) x+x-e^x+e}+x\right)",1,"-x^2 + (3*x)/(-E + E^x - 5*x + 2*x^2)","A",1
911,1,9,23,0.0289223,"\int \frac{-2+\log (x)}{1-2 x+x^2+(-2+2 x) \log (x)+\log ^2(x)} \, dx","Integrate[(-2 + Log[x])/(1 - 2*x + x^2 + (-2 + 2*x)*Log[x] + Log[x]^2),x]","\frac{x}{x+\log (x)-1}","\frac{x}{x+\log (x)-1}+\frac{3}{4} \left(5 e^3-1\right)^2",1,"x/(-1 + x + Log[x])","A",1
912,1,26,13,0.0242727,"\int \frac{3920 x-x^2+(-19600+5 x) \log (-3920+x)+\left(3925 x-x^2\right) \log (x)}{-19600 x+5 x^2} \, dx","Integrate[(3920*x - x^2 + (-19600 + 5*x)*Log[-3920 + x] + (3925*x - x^2)*Log[x])/(-19600*x + 5*x^2),x]","\log \left(\frac{x}{3920}\right) \log (x-3920)+\log (3920) \log (x-3920)-\frac{1}{5} x \log (x)","\left(\log (x-3920)-\frac{x}{5}\right) \log (x)",1,"Log[3920]*Log[-3920 + x] + Log[-3920 + x]*Log[x/3920] - (x*Log[x])/5","A",1
913,1,50,28,0.0904262,"\int \frac{12 x^3+45 x^6+225 e^x x^6+\left(-48 x^3+30 x^5+e^x \left(-120 x^3+150 x^5\right)\right) \log (x)+\left(-12 x^2+5 x^4+e^x \left(16-40 x^2+25 x^4\right)\right) \log ^2(x)}{225 x^6+\left(-120 x^3+150 x^5\right) \log (x)+\left(16-40 x^2+25 x^4\right) \log ^2(x)} \, dx","Integrate[(12*x^3 + 45*x^6 + 225*E^x*x^6 + (-48*x^3 + 30*x^5 + E^x*(-120*x^3 + 150*x^5))*Log[x] + (-12*x^2 + 5*x^4 + E^x*(16 - 40*x^2 + 25*x^4))*Log[x]^2)/(225*x^6 + (-120*x^3 + 150*x^5)*Log[x] + (16 - 40*x^2 + 25*x^4)*Log[x]^2),x]","\frac{3 \left(x+5 e^x\right) x^3+\left(x^3+e^x \left(5 x^2-4\right)\right) \log (x)}{15 x^3+\left(5 x^2-4\right) \log (x)}","\frac{x}{5-\frac{4}{x \left(\frac{3 x^2}{\log (x)}+x\right)}}+e^x",1,"(3*x^3*(5*E^x + x) + (x^3 + E^x*(-4 + 5*x^2))*Log[x])/(15*x^3 + (-4 + 5*x^2)*Log[x])","A",1
914,1,32,35,0.083726,"\int \frac{x-x^2+\left(e^4 (5-5 x)+x^3\right) \log (x)}{e^4 \left(2 x^2-2 x^3+e^2 \left(-x^2+x^3\right)\right) \log (x)} \, dx","Integrate[(x - x^2 + (E^4*(5 - 5*x) + x^3)*Log[x])/(E^4*(2*x^2 - 2*x^3 + E^2*(-x^2 + x^3))*Log[x]),x]","\frac{x+\frac{5 e^4}{x}+\log (1-x)-\log (\log (x))}{e^4 \left(e^2-2\right)}","\frac{\frac{5}{x}-\frac{\log \left(\frac{\log (x)}{1-x}\right)-x}{e^4}-3}{e^2-2}",1,"((5*E^4)/x + x + Log[1 - x] - Log[Log[x]])/(E^4*(-2 + E^2))","A",1
915,1,25,22,0.0582627,"\int \frac{-32+2 e^4+4 x-8 e^2 x+6 x^2+\left(16-e^4-x+2 e^2 x-x^2\right) \log \left(-16 x+e^4 x+x^2-2 e^2 x^2+x^3\right) \log \left(\log ^2\left(-16 x+e^4 x+x^2-2 e^2 x^2+x^3\right)\right)}{\left(-16 x^2+e^4 x^2+x^3-2 e^2 x^3+x^4\right) \log \left(-16 x+e^4 x+x^2-2 e^2 x^2+x^3\right)} \, dx","Integrate[(-32 + 2*E^4 + 4*x - 8*E^2*x + 6*x^2 + (16 - E^4 - x + 2*E^2*x - x^2)*Log[-16*x + E^4*x + x^2 - 2*E^2*x^2 + x^3]*Log[Log[-16*x + E^4*x + x^2 - 2*E^2*x^2 + x^3]^2])/((-16*x^2 + E^4*x^2 + x^3 - 2*E^2*x^3 + x^4)*Log[-16*x + E^4*x + x^2 - 2*E^2*x^2 + x^3]),x]","\frac{\log \left(\log ^2\left(x \left(x^2-2 e^2 x+x+e^4-16\right)\right)\right)}{x}","\frac{\log \left(\log ^2\left(x \left(\left(e^2-x\right)^2+x-16\right)\right)\right)}{x}",1,"Log[Log[x*(-16 + E^4 + x - 2*E^2*x + x^2)]^2]/x","A",1
916,1,34,25,3.1587863,"\int \frac{38+8 e^{2 x}+29 x+8 x^2+e^x (35+10 x)+\left(38+8 e^{2 x}+35 x+8 x^2+e^x (35+16 x)\right) \log \left(\frac{361 x^4+64 e^{2 x} x^4+304 x^5+64 x^6+e^x \left(304 x^4+128 x^5\right)}{16+4 e^{2 x}+16 x+4 x^2+e^x (16+8 x)}\right)}{38+8 e^{2 x}+35 x+8 x^2+e^x (35+16 x)} \, dx","Integrate[(38 + 8*E^(2*x) + 29*x + 8*x^2 + E^x*(35 + 10*x) + (38 + 8*E^(2*x) + 35*x + 8*x^2 + E^x*(35 + 16*x))*Log[(361*x^4 + 64*E^(2*x)*x^4 + 304*x^5 + 64*x^6 + E^x*(304*x^4 + 128*x^5))/(16 + 4*E^(2*x) + 16*x + 4*x^2 + E^x*(16 + 8*x))])/(38 + 8*E^(2*x) + 35*x + 8*x^2 + E^x*(35 + 16*x)),x]","x \log \left(\frac{x^4 \left(8 x+8 e^x+19\right)^2}{4 \left(x+e^x+2\right)^2}\right)-3 x","x \left(\log \left(x^4 \left(-\frac{3}{2 \left(x+e^x+2\right)}-4\right)^2\right)-3\right)",1,"-3*x + x*Log[(x^4*(19 + 8*E^x + 8*x)^2)/(4*(2 + E^x + x)^2)]","A",1
917,1,20,24,0.4199572,"\int \frac{-8-2 x+\left(7+9 x-15 x^2-2 x^3\right) \log (x)+\left(-x-2 x^2\right) \log ^2(x)+(1+2 x) \log (x) \log (\log (x))}{\left(64 x+32 x^2+4 x^3\right) \log (x)+\left(16 x+4 x^2\right) \log ^2(x)+x \log ^3(x)} \, dx","Integrate[(-8 - 2*x + (7 + 9*x - 15*x^2 - 2*x^3)*Log[x] + (-x - 2*x^2)*Log[x]^2 + (1 + 2*x)*Log[x]*Log[Log[x]])/((64*x + 32*x^2 + 4*x^3)*Log[x] + (16*x + 4*x^2)*Log[x]^2 + x*Log[x]^3),x]","-\frac{x^2+x+\log (\log (x))+8}{2 x+\log (x)+8}","\frac{-x^2+x+\log (x)-\log (\log (x))}{2 x+\log (x)+8}",1,"-((8 + x + x^2 + Log[Log[x]])/(8 + 2*x + Log[x]))","A",1
918,1,24,27,0.0066538,"\int \frac{32-4 x^3-2 x^4+2 x^4 \log (4 x)+2 x^4 \log ^2(4 x)}{x^3} \, dx","Integrate[(32 - 4*x^3 - 2*x^4 + 2*x^4*Log[4*x] + 2*x^4*Log[4*x]^2)/x^3,x]","-x^2-\frac{16}{x^2}+x^2 \log ^2(4 x)-4 x","-x^2-\frac{16}{x^2}+x^2 \log ^2(4 x)-4 x+\frac{7}{2}",1,"-16/x^2 - 4*x - x^2 + x^2*Log[4*x]^2","A",1
919,1,17,18,0.0045857,"\int -\frac{50 x}{-64-25 x^2-16 e^5 \log \left(\frac{5}{4}\right)} \, dx","Integrate[(-50*x)/(-64 - 25*x^2 - 16*E^5*Log[5/4]),x]","\log \left(25 x^2+64+16 e^5 \log \left(\frac{5}{4}\right)\right)","\log \left(\frac{25 x^2}{16}+4+e^5 \log \left(\frac{5}{4}\right)\right)",1,"Log[64 + 25*x^2 + 16*E^5*Log[5/4]]","A",1
920,1,18,15,0.0050589,"\int \left(e^x+2 x+(628+2 x) \log (4)\right) \, dx","Integrate[E^x + 2*x + (628 + 2*x)*Log[4],x]","x^2+x^2 \log (4)+e^x+628 x \log (4)","x^2+e^x+(x+314)^2 \log (4)",1,"E^x + x^2 + 628*x*Log[4] + x^2*Log[4]","A",1
921,1,39,29,0.1219935,"\int e^{-e^{x^4}-x^2} \left(e^{e^{x^4}} \left(16-16 x-29 x^2+16 x^3-2 x^4\right)+e^{-3+e^x} \left(-8-30 x+16 x^2-2 x^3+e^x \left(16-8 x+x^2\right)+e^{x^4} \left(-64 x^3+32 x^4-4 x^5\right)\right)\right) \, dx","Integrate[E^(-E^x^4 - x^2)*(E^E^x^4*(16 - 16*x - 29*x^2 + 16*x^3 - 2*x^4) + E^(-3 + E^x)*(-8 - 30*x + 16*x^2 - 2*x^3 + E^x*(16 - 8*x + x^2) + E^x^4*(-64*x^3 + 32*x^4 - 4*x^5))),x]","e^{-e^{x^4}-x^2-3} (x-4)^2 \left(e^{e^{x^4}+3} x+e^{e^x}\right)","e^{-x^2} (x-4)^2 \left(e^{-e^{x^4}+e^x-3}+x\right)",1,"E^(-3 - E^x^4 - x^2)*(-4 + x)^2*(E^E^x + E^(3 + E^x^4)*x)","A",1
922,1,24,21,0.1295636,"\int \frac{-63+70 x-6 x^2-x^3+\left(63-140 x+18 x^2+4 x^3\right) \log (9 x)}{7 \log ^2(9 x)} \, dx","Integrate[(-63 + 70*x - 6*x^2 - x^3 + (63 - 140*x + 18*x^2 + 4*x^3)*Log[9*x])/(7*Log[9*x]^2),x]","\frac{x \left(x^3+6 x^2-70 x+63\right)}{7 \log (9 x)}","\frac{(x-1) x \left(\frac{x^2}{7}+x-9\right)}{\log (9 x)}",1,"(x*(63 - 70*x + 6*x^2 + x^3))/(7*Log[9*x])","A",1
923,1,34,32,0.0724363,"\int \frac{25-20 x-20 x^2+4 x^4+\left(-25+10 x+20 x^2-4 x^3-4 x^4\right) \log \left(\frac{-10 x+4 x^2+4 x^3}{-5+2 x^2}\right)}{1125 x^2-450 x^3-900 x^4+180 x^5+180 x^6+\left(-750 x+300 x^2+600 x^3-120 x^4-120 x^5\right) \log \left(\frac{-10 x+4 x^2+4 x^3}{-5+2 x^2}\right)+\left(125-50 x-100 x^2+20 x^3+20 x^4\right) \log ^2\left(\frac{-10 x+4 x^2+4 x^3}{-5+2 x^2}\right)} \, dx","Integrate[(25 - 20*x - 20*x^2 + 4*x^4 + (-25 + 10*x + 20*x^2 - 4*x^3 - 4*x^4)*Log[(-10*x + 4*x^2 + 4*x^3)/(-5 + 2*x^2)])/(1125*x^2 - 450*x^3 - 900*x^4 + 180*x^5 + 180*x^6 + (-750*x + 300*x^2 + 600*x^3 - 120*x^4 - 120*x^5)*Log[(-10*x + 4*x^2 + 4*x^3)/(-5 + 2*x^2)] + (125 - 50*x - 100*x^2 + 20*x^3 + 20*x^4)*Log[(-10*x + 4*x^2 + 4*x^3)/(-5 + 2*x^2)]^2),x]","-\frac{x}{5 \left(\log \left(\frac{2 x \left(2 x^2+2 x-5\right)}{2 x^2-5}\right)-3 x\right)}","\frac{x}{5 \left(3 x-\log \left(\frac{2 x^2}{x^2-\frac{5}{2}}+2 x\right)\right)}",1,"-1/5*x/(-3*x + Log[(2*x*(-5 + 2*x + 2*x^2))/(-5 + 2*x^2)])","A",1
924,1,24,20,0.0161591,"\int \frac{1}{4} \left(-4+e^{3 x} \left(16+48 x+4 x^3+3 x^4\right)\right) \, dx","Integrate[(-4 + E^(3*x)*(16 + 48*x + 4*x^3 + 3*x^4))/4,x]","\frac{1}{3} e^{3 x} \left(\frac{3 x^4}{4}+12 x\right)-x","e^{3 x} x \left(\frac{x^3}{4}+4\right)-x",1,"-x + (E^(3*x)*(12*x + (3*x^4)/4))/3","A",1
925,1,26,22,0.0207409,"\int \frac{e^4 (16-5 x)-e^4 x \log \left(e^{16/x} x\right)+e^4 x \log (\log (4))}{x} \, dx","Integrate[(E^4*(16 - 5*x) - E^4*x*Log[E^(16/x)*x] + E^4*x*Log[Log[4]])/x,x]","e^4 \left(x \left(-\log \left(e^{16/x} x\right)\right)+x (\log (\log (4))-4)+16\right)","e^4 x \left(-\log \left(e^{16/x} x\right)-4+\log (\log (4))\right)",1,"E^4*(16 - x*Log[E^(16/x)*x] + x*(-4 + Log[Log[4]]))","A",1
926,1,15,15,0.0015554,"\int \frac{e^{-\frac{2 (-4-4 e+e \log (100))}{e}}}{x} \, dx","Integrate[1/(E^((2*(-4 - 4*E + E*Log[100]))/E)*x),x]","\frac{e^{8+\frac{8}{e}} \log (x)}{10000}","\frac{e^{8+\frac{8}{e}} \log (x)}{10000}",1,"(E^(8 + 8/E)*Log[x])/10000","A",1
927,1,47,31,0.0285524,"\int \frac{e^3+45 x+252 x^3+\left(-60 x-192 x^3\right) \log (x)+\left(15 x+36 x^3\right) \log ^2(x)}{e^3 x} \, dx","Integrate[(E^3 + 45*x + 252*x^3 + (-60*x - 192*x^3)*Log[x] + (15*x + 36*x^3)*Log[x]^2)/(E^3*x),x]","\frac{108 x^3+12 x^3 \log ^2(x)-72 x^3 \log (x)+135 x+15 x \log ^2(x)-90 x \log (x)+e^3 \log (x)}{e^3}","\frac{3 x^2 \left(5 \left(x+\frac{1}{x}\right)-x\right) (3-\log (x))^2}{e^3}+\log (x)+4",1,"(135*x + 108*x^3 + E^3*Log[x] - 90*x*Log[x] - 72*x^3*Log[x] + 15*x*Log[x]^2 + 12*x^3*Log[x]^2)/E^3","A",1
928,1,36,27,2.5519525,"\int \frac{800+50 e^{-4 x+2 x^2}+400 x+50 x^2+e^{-2 x+x^2} (400+100 x)+\exp \left(\frac{1+4 x+e^{-2 x+x^2} x+x^2}{4+e^{-2 x+x^2}+x}\right) \left(-75 x^2-50 e^{-2 x+x^2} x^2-5 e^{-4 x+2 x^2} x^2-40 x^3-5 x^4\right)}{1600+100 e^{-4 x+2 x^2}+800 x+100 x^2+e^{-2 x+x^2} (800+200 x)+\exp \left(\frac{1+4 x+e^{-2 x+x^2} x+x^2}{4+e^{-2 x+x^2}+x}\right) \left(320 x+20 e^{-4 x+2 x^2} x+160 x^2+20 x^3+e^{-2 x+x^2} \left(160 x+40 x^2\right)\right)+\exp \left(\frac{2 \left(1+4 x+e^{-2 x+x^2} x+x^2\right)}{4+e^{-2 x+x^2}+x}\right) \left(16 x^2+e^{-4 x+2 x^2} x^2+8 x^3+x^4+e^{-2 x+x^2} \left(8 x^2+2 x^3\right)\right)} \, dx","Integrate[(800 + 50*E^(-4*x + 2*x^2) + 400*x + 50*x^2 + E^(-2*x + x^2)*(400 + 100*x) + E^((1 + 4*x + E^(-2*x + x^2)*x + x^2)/(4 + E^(-2*x + x^2) + x))*(-75*x^2 - 50*E^(-2*x + x^2)*x^2 - 5*E^(-4*x + 2*x^2)*x^2 - 40*x^3 - 5*x^4))/(1600 + 100*E^(-4*x + 2*x^2) + 800*x + 100*x^2 + E^(-2*x + x^2)*(800 + 200*x) + E^((1 + 4*x + E^(-2*x + x^2)*x + x^2)/(4 + E^(-2*x + x^2) + x))*(320*x + 20*E^(-4*x + 2*x^2)*x + 160*x^2 + 20*x^3 + E^(-2*x + x^2)*(160*x + 40*x^2)) + E^((2*(1 + 4*x + E^(-2*x + x^2)*x + x^2))/(4 + E^(-2*x + x^2) + x))*(16*x^2 + E^(-4*x + 2*x^2)*x^2 + 8*x^3 + x^4 + E^(-2*x + x^2)*(8*x^2 + 2*x^3))),x]","\frac{5 x}{e^{\frac{e^{2 x}}{e^{x^2}+e^{2 x} (x+4)}+x} x+10}","\frac{x}{\frac{1}{5} e^{x+\frac{1}{x+e^{(x-2) x}+4}} x+2}",1,"(5*x)/(10 + E^(x + E^(2*x)/(E^x^2 + E^(2*x)*(4 + x)))*x)","A",1
929,1,17,24,0.0403534,"\int \frac{2 x+\left(5-6 x+x^2\right) \log (-5+x)}{\left(-20 x+4 x^2\right) \log (-5+x)} \, dx","Integrate[(2*x + (5 - 6*x + x^2)*Log[-5 + x])/((-20*x + 4*x^2)*Log[-5 + x]),x]","\frac{1}{4} (x-\log (x)+2 \log (\log (x-5)))","\frac{1}{4} \left(x+\log \left(\log ^2(x-5)\right)-\log (x)+86-\log ^2(5)\right)",1,"(x - Log[x] + 2*Log[Log[-5 + x]])/4","A",1
930,1,18,20,0.0069122,"\int \frac{-4 \log ^2(4)+(2+4 x) \log ^3(x)}{x \log ^3(x)} \, dx","Integrate[(-4*Log[4]^2 + (2 + 4*x)*Log[x]^3)/(x*Log[x]^3),x]","4 x+\frac{2 \log ^2(4)}{\log ^2(x)}+2 \log (x)","2 \left(2 x+\frac{\log ^2(4)}{\log ^2(x)}+\log (x)+4\right)+2",1,"4*x + (2*Log[4]^2)/Log[x]^2 + 2*Log[x]","A",1
931,1,44,28,0.2702353,"\int \frac{-e^5+\exp \left(\frac{4+e^5 (12-3 x)-13 x+3 x^2+(4-x) \log (3)}{e^5}\right) \left(-13-3 e^5+6 x-\log (3)\right)}{e^5} \, dx","Integrate[(-E^5 + E^((4 + E^5*(12 - 3*x) - 13*x + 3*x^2 + (4 - x)*Log[3])/E^5)*(-13 - 3*E^5 + 6*x - Log[3]))/E^5,x]","\exp \left(\frac{3 x^2}{e^5}-\frac{x \left(13+3 e^5+\log (3)\right)}{e^5}+5+\frac{4+7 e^5+\log (81)}{e^5}\right)-x","e^{\frac{(x-4) \left(3 \left(x-e^5\right)-1-\log (3)\right)}{e^5}}-x",1,"E^(5 + (3*x^2)/E^5 - (x*(13 + 3*E^5 + Log[3]))/E^5 + (4 + 7*E^5 + Log[81])/E^5) - x","A",1
932,1,29,28,0.0964697,"\int \frac{-32 x^2+e^x \left(18+9 x+(-12-6 x) \log (4)+(2+x) \log ^2(4)\right)+\left(8 x^2+e^x \left(-9+6 \log (4)-\log ^2(4)\right)\right) \log \left(\frac{1}{2} \left(-8 x^4+e^x \left(9 x^2-6 x^2 \log (4)+x^2 \log ^2(4)\right)\right)\right)}{-8 x^4+e^x \left(9 x^2-6 x^2 \log (4)+x^2 \log ^2(4)\right)} \, dx","Integrate[(-32*x^2 + E^x*(18 + 9*x + (-12 - 6*x)*Log[4] + (2 + x)*Log[4]^2) + (8*x^2 + E^x*(-9 + 6*Log[4] - Log[4]^2))*Log[(-8*x^4 + E^x*(9*x^2 - 6*x^2*Log[4] + x^2*Log[4]^2))/2])/(-8*x^4 + E^x*(9*x^2 - 6*x^2*Log[4] + x^2*Log[4]^2)),x]","\frac{\log \left(-\frac{1}{2} x^2 \left(8 x^2-e^x (\log (4)-3)^2\right)\right)}{x}","\frac{\log \left(x^2 \left(\frac{1}{2} e^x (\log (4)-3)^2-4 x^2\right)\right)}{x}",1,"Log[-1/2*(x^2*(8*x^2 - E^x*(-3 + Log[4])^2))]/x","A",1
933,1,28,25,0.0302417,"\int \frac{1}{256} e^{-x} \left(256 e^x-16384 x^3+4096 x^4-12288 x^5+2048 x^6-3072 x^7+384 x^8-320 x^9+32 x^{10}-12 x^{11}+x^{12}\right) \, dx","Integrate[(256*E^x - 16384*x^3 + 4096*x^4 - 12288*x^5 + 2048*x^6 - 3072*x^7 + 384*x^8 - 320*x^9 + 32*x^10 - 12*x^11 + x^12)/(256*E^x),x]","x-\frac{1}{256} e^{-x} x^3 \left(x^2+8\right)^3 \left(x^3+8 x\right)","-e^{-x} \left(\frac{x^3}{4}+2 x\right)^4+x+3+\log (4)",1,"x - (x^3*(8 + x^2)^3*(8*x + x^3))/(256*E^x)","A",1
934,1,16,19,0.1319859,"\int e^{e^{-2 x+2 e^{16} x}+8 x} \left(8+e^{-2 x+2 e^{16} x} \left(-2+2 e^{16}\right)\right) \, dx","Integrate[E^(E^(-2*x + 2*E^16*x) + 8*x)*(8 + E^(-2*x + 2*E^16*x)*(-2 + 2*E^16)),x]","e^{8 x+e^{2 \left(e^{16}-1\right) x}}","e^{8 x+e^{2 \left(e^{16} x-x\right)}}",1,"E^(E^(2*(-1 + E^16)*x) + 8*x)","A",1
935,1,28,25,0.0230266,"\int \frac{-59049+59049 x^2+118102 x^4-288680 x^6+275562 x^8-153090 x^{10}+54432 x^{12}-12636 x^{14}+1863 x^{16}-159 x^{18}+6 x^{20}}{-59049 x+177147 x^3-236196 x^5+183708 x^7-91854 x^9+30618 x^{11}-6804 x^{13}+972 x^{15}-81 x^{17}+3 x^{19}} \, dx","Integrate[(-59049 + 59049*x^2 + 118102*x^4 - 288680*x^6 + 275562*x^8 - 153090*x^10 + 54432*x^12 - 12636*x^14 + 1863*x^16 - 159*x^18 + 6*x^20)/(-59049*x + 177147*x^3 - 236196*x^5 + 183708*x^7 - 91854*x^9 + 30618*x^11 - 6804*x^13 + 972*x^15 - 81*x^17 + 3*x^19),x]","\frac{1}{3} \left(3 x^2-\frac{x^4}{3 \left(x^2-3\right)^8}+3 \log (x)\right)","x \left(\frac{\log (x)-\frac{x^4}{9 \left(x^2-3\right)^8}}{x}+x\right)",1,"(3*x^2 - x^4/(3*(-3 + x^2)^8) + 3*Log[x])/3","A",1
936,1,19,18,0.1581986,"\int \frac{\exp \left(\frac{4+4 x^2+4 e^{78} x^2+x^4+e^{39} \left(8 x+4 x^3\right)}{x^2}\right) \left(-8+2 x^4+e^{39} \left(-8 x+4 x^3\right)\right)}{x^3} \, dx","Integrate[(E^((4 + 4*x^2 + 4*E^78*x^2 + x^4 + E^39*(8*x + 4*x^3))/x^2)*(-8 + 2*x^4 + E^39*(-8*x + 4*x^3)))/x^3,x]","e^{\frac{\left(x^2+2 e^{39} x+2\right)^2}{x^2}}","e^{\left(x+\frac{2}{x}+2 e^{39}\right)^2}-1",1,"E^((2 + 2*E^39*x + x^2)^2/x^2)","A",1
937,1,43,24,0.6175685,"\int \frac{\left(-12 x^4-x^5+x^6+e^x \left(6 x^4+2 x^5\right)\right) \log ^2(3+x)+\log \left(e^{2 x}+e^x (-5+x)\right) \left(\left(-10 x^4+2 e^x x^4+2 x^5\right) \log (3+x)+\left(-60 x^3-8 x^4+4 x^5+e^x \left(12 x^3+4 x^4\right)\right) \log ^2(3+x)\right)}{-75-10 x+5 x^2+e^x (15+5 x)} \, dx","Integrate[((-12*x^4 - x^5 + x^6 + E^x*(6*x^4 + 2*x^5))*Log[3 + x]^2 + Log[E^(2*x) + E^x*(-5 + x)]*((-10*x^4 + 2*E^x*x^4 + 2*x^5)*Log[3 + x] + (-60*x^3 - 8*x^4 + 4*x^5 + E^x*(12*x^3 + 4*x^4))*Log[3 + x]^2))/(-75 - 10*x + 5*x^2 + E^x*(15 + 5*x)),x]","\frac{1}{5} \left(\left(x^4 \log ^2(x+3)+162\right) \log \left(e^x \left(x+e^x-5\right)\right)-162 (x+3)-162 \log \left(x+e^x-5\right)\right)","\frac{1}{5} x^4 \log ^2(x+3) \log \left(e^x \left(x+e^x-5\right)\right)",1,"(-162*(3 + x) - 162*Log[-5 + E^x + x] + (162 + x^4*Log[3 + x]^2)*Log[E^x*(-5 + E^x + x)])/5","A",1
938,1,33,29,0.0531639,"\int \frac{8+2 x+\left(4+18 x+8 x^2\right) \log \left(\frac{1+8 x+16 x^2}{x^2}\right)+\left(3+12 x+400 x^3+1725 x^4+500 x^5\right) \log ^2\left(\frac{1+8 x+16 x^2}{x^2}\right)}{(1+4 x) \log ^2\left(\frac{1+8 x+16 x^2}{x^2}\right)} \, dx","Integrate[(8 + 2*x + (4 + 18*x + 8*x^2)*Log[(1 + 8*x + 16*x^2)/x^2] + (3 + 12*x + 400*x^3 + 1725*x^4 + 500*x^5)*Log[(1 + 8*x + 16*x^2)/x^2]^2)/((1 + 4*x)*Log[(1 + 8*x + 16*x^2)/x^2]^2),x]","25 x^5+100 x^4+\frac{(x+4) x}{\log \left(\frac{(4 x+1)^2}{x^2}\right)}+3 x","(x+4) \left(25 x^4+\frac{x}{\log \left(\frac{\left(4 x^2+x\right)^2}{x^4}\right)}+3\right)",1,"3*x + 100*x^4 + 25*x^5 + (x*(4 + x))/Log[(1 + 4*x)^2/x^2]","A",1
939,1,14,26,0.003914,"\int \frac{1-2 x+2 x^2}{-x+x^2} \, dx","Integrate[(1 - 2*x + 2*x^2)/(-x + x^2),x]","2 x+\log (1-x)-\log (x)","x-\log \left(\left(3+e^5\right) e^{-x}\right)+\log \left(\frac{2 x-2}{x}\right)",1,"2*x + Log[1 - x] - Log[x]","A",1
940,1,35,31,0.1274487,"\int \frac{e^{3 x} (8-72 x)+e^{4 x} \left(36 x-108 x^2+36 x^3\right)+\left(24 e^{3 x} x+e^{4 x} \left(-24 x+72 x^2-24 x^3\right)\right) \log (x)+e^{4 x} \left(4 x-12 x^2+4 x^3\right) \log ^2(x)}{16 x+e^x \left(48 x^2-24 x^3\right)+e^{2 x} \left(36 x^3-36 x^4+9 x^5\right)+\left(e^x \left(-16 x^2+8 x^3\right)+e^{2 x} \left(-24 x^3+24 x^4-6 x^5\right)\right) \log (x)+e^{2 x} \left(4 x^3-4 x^4+x^5\right) \log ^2(x)} \, dx","Integrate[(E^(3*x)*(8 - 72*x) + E^(4*x)*(36*x - 108*x^2 + 36*x^3) + (24*E^(3*x)*x + E^(4*x)*(-24*x + 72*x^2 - 24*x^3))*Log[x] + E^(4*x)*(4*x - 12*x^2 + 4*x^3)*Log[x]^2)/(16*x + E^x*(48*x^2 - 24*x^3) + E^(2*x)*(36*x^3 - 36*x^4 + 9*x^5) + (E^x*(-16*x^2 + 8*x^3) + E^(2*x)*(-24*x^3 + 24*x^4 - 6*x^5))*Log[x] + E^(2*x)*(4*x^3 - 4*x^4 + x^5)*Log[x]^2),x]","\frac{4 e^{3 x} (\log (x)-3)}{-6 e^x (x-2) x+2 e^x (x-2) x \log (x)+8}","\frac{2 e^{2 x}}{x \left(x+\frac{4 e^{-x}}{x (\log (x)-3)}-2\right)}",1,"(4*E^(3*x)*(-3 + Log[x]))/(8 - 6*E^x*(-2 + x)*x + 2*E^x*(-2 + x)*x*Log[x])","A",1
941,1,22,23,1.4260536,"\int \frac{e^{\frac{x^3+\left(-20-15 x+5 x^2\right) \log \left(14+e^x\right)}{x^2}} \left(14 x^3+e^x \left(-20 x-15 x^2+6 x^3\right)+\left(560+210 x+e^x (40+15 x)\right) \log \left(14+e^x\right)\right)}{14 x^3+e^x x^3} \, dx","Integrate[(E^((x^3 + (-20 - 15*x + 5*x^2)*Log[14 + E^x])/x^2)*(14*x^3 + E^x*(-20*x - 15*x^2 + 6*x^3) + (560 + 210*x + E^x*(40 + 15*x))*Log[14 + E^x]))/(14*x^3 + E^x*x^3),x]","e^x \left(e^x+14\right)^{5-\frac{5 (3 x+4)}{x^2}}","e^{x+\frac{5 \left(x-\frac{4}{x}-3\right) \log \left(e^x+14\right)}{x}}",1,"E^x*(14 + E^x)^(5 - (5*(4 + 3*x))/x^2)","A",1
942,1,34,28,0.2613985,"\int \frac{2^{\frac{5}{4 x+e^{\frac{9+6 x^2+x^4}{1-2 x+x^2}} x}} \left(\left(20-60 x+60 x^2-20 x^3\right) \log (2)+e^{\frac{9+6 x^2+x^4}{1-2 x+x^2}} \left(5+75 x+75 x^2-5 x^3+20 x^4-10 x^5\right) \log (2)\right)}{-16 x^2+48 x^3-48 x^4+16 x^5+e^{\frac{2 \left(9+6 x^2+x^4\right)}{1-2 x+x^2}} \left(-x^2+3 x^3-3 x^4+x^5\right)+e^{\frac{9+6 x^2+x^4}{1-2 x+x^2}} \left(-8 x^2+24 x^3-24 x^4+8 x^5\right)} \, dx","Integrate[(2^(5/(4*x + E^((9 + 6*x^2 + x^4)/(1 - 2*x + x^2))*x))*((20 - 60*x + 60*x^2 - 20*x^3)*Log[2] + E^((9 + 6*x^2 + x^4)/(1 - 2*x + x^2))*(5 + 75*x + 75*x^2 - 5*x^3 + 20*x^4 - 10*x^5)*Log[2]))/(-16*x^2 + 48*x^3 - 48*x^4 + 16*x^5 + E^((2*(9 + 6*x^2 + x^4))/(1 - 2*x + x^2))*(-x^2 + 3*x^3 - 3*x^4 + x^5) + E^((9 + 6*x^2 + x^4)/(1 - 2*x + x^2))*(-8*x^2 + 24*x^3 - 24*x^4 + 8*x^5)),x]","\frac{5\ 2^{\frac{5}{\left(e^{\frac{\left(x^2+3\right)^2}{(x-1)^2}}+4\right) x}} \log (2)}{\log (32)}","2^{\frac{5}{\left(e^{\left(-\frac{4 x}{x-1}-x+3\right)^2}+4\right) x}}",1,"(5*2^(5/((4 + E^((3 + x^2)^2/(-1 + x)^2))*x))*Log[2])/Log[32]","A",1
943,1,38,32,0.3744796,"\int \frac{18+2 x-4 x^2+e^{x+x^3+2 x^4+x^5} \left(-10 x+45 x^2+120 x^3+75 x^4\right)}{-12+15 e^{x+x^3+2 x^4+x^5}+6 x} \, dx","Integrate[(18 + 2*x - 4*x^2 + E^(x + x^3 + 2*x^4 + x^5)*(-10*x + 45*x^2 + 120*x^3 + 75*x^4))/(-12 + 15*E^(x + x^3 + 2*x^4 + x^5) + 6*x),x]","\frac{1}{3} \left(-x^2+3 \log \left(-5 e^{x^5+2 x^4+x^3+x}-2 x+4\right)-3 x\right)","-\frac{x^2}{3}+\log \left(5 e^{x \left(x^2+x\right)^2+x}+2 x-4\right)-x",1,"(-3*x - x^2 + 3*Log[4 - 5*E^(x + x^3 + 2*x^4 + x^5) - 2*x])/3","A",1
944,1,32,18,0.0353196,"\int \frac{-16 e^{\frac{2}{x^8}}+20 x^9+8 x^{10}+e^{\frac{1}{x^8}} \left(-80-32 x+4 x^9\right)}{25 x^9} \, dx","Integrate[(-16*E^(2/x^8) + 20*x^9 + 8*x^10 + E^x^(-8)*(-80 - 32*x + 4*x^9))/(25*x^9),x]","\frac{4}{25} \left(e^{\frac{1}{x^8}} \left(x+\frac{5}{2}\right)+\frac{e^{\frac{2}{x^8}}}{4}+x (x+5)\right)","\frac{1}{25} \left(-e^{\frac{1}{x^8}}-2 x-5\right)^2",1,"(4*(E^(2/x^8)/4 + E^x^(-8)*(5/2 + x) + x*(5 + x)))/25","A",1
945,1,2,4,0.0001683,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log (x)+3",1,"Log[x]","A",1
946,1,24,27,2.2407032,"\int \frac{1-x-2 x^2+e^x \left(1-x^2\right)+\left(-2 x-2 e^x x\right) \log (1+x)}{-4 x-6 x^2-2 x^3+e^x \left(-4 x-6 x^2-2 x^3\right)+\left(x+x^2+e^x \left(x+x^2\right)\right) \log \left(1+e^x\right)+\left(x+x^2+e^x \left(x+x^2\right)\right) \log (x)+\left(-x-x^2+e^x \left(-x-x^2\right)\right) \log ^2(1+x)} \, dx","Integrate[(1 - x - 2*x^2 + E^x*(1 - x^2) + (-2*x - 2*E^x*x)*Log[1 + x])/(-4*x - 6*x^2 - 2*x^3 + E^x*(-4*x - 6*x^2 - 2*x^3) + (x + x^2 + E^x*(x + x^2))*Log[1 + E^x] + (x + x^2 + E^x*(x + x^2))*Log[x] + (-x - x^2 + E^x*(-x - x^2))*Log[1 + x]^2),x]","\log \left(2 x+\log ^2(x+1)-\log \left(e^x+1\right)-\log (x)+4\right)","\log \left(x+\frac{1}{2} \left(\log ^2(x+1)-\log \left(e^x+1\right)-\log (x)\right)+2\right)",1,"Log[4 + 2*x - Log[1 + E^x] - Log[x] + Log[1 + x]^2]","A",1
947,1,51,22,0.0069112,"\int \frac{2112 x^2-1664 x^3+320 x^4+\left(1280 x^2-512 x^3\right) \log (x)+192 x^2 \log ^2(x)}{1875} \, dx","Integrate[(2112*x^2 - 1664*x^3 + 320*x^4 + (1280*x^2 - 512*x^3)*Log[x] + 192*x^2*Log[x]^2)/1875,x]","\frac{64 x^5}{1875}-\frac{128 x^4}{625}-\frac{128 x^4 \log (x)}{1875}+\frac{192 x^3}{625}+\frac{64 x^3 \log ^2(x)}{1875}+\frac{128}{625} x^3 \log (x)","\frac{16}{625} \left(\frac{4}{3} x^3 (-x+\log (x)+3)^2+2\right)",1,"(192*x^3)/625 - (128*x^4)/625 + (64*x^5)/1875 + (128*x^3*Log[x])/625 - (128*x^4*Log[x])/1875 + (64*x^3*Log[x]^2)/1875","B",1
948,1,8,19,0.0014807,"\int 4 e^{4+x} \log (2) \, dx","Integrate[4*E^(4 + x)*Log[2],x]","e^{x+4} \log (16)","4 \left(1-\left(\frac{43}{6}-e^{x+4}\right) \log (2)\right)",1,"E^(4 + x)*Log[16]","A",1
949,1,23,31,0.2819623,"\int \frac{e^{-e^{x^2}+x} \left(4 e^{e^{x^2}-x}+4 x^2 \log (3)-8 e^{x^2} x^3 \log (3)\right)}{x^2 \log (3)} \, dx","Integrate[(E^(-E^x^2 + x)*(4*E^(E^x^2 - x) + 4*x^2*Log[3] - 8*E^x^2*x^3*Log[3]))/(x^2*Log[3]),x]","4 \left(e^{x-e^{x^2}}-\frac{1}{x \log (3)}\right)","\frac{4 e^{x-e^{x^2}} x+2 x-\frac{x+4}{\log (3)}}{x}",1,"4*(E^(-E^x^2 + x) - 1/(x*Log[3]))","A",1
950,1,30,28,0.0959152,"\int \frac{12-12 x-13 x^2+20 x^3+12 x^4+e^x \left(18+24 x+8 x^2\right)}{18+24 x+8 x^2} \, dx","Integrate[(12 - 12*x - 13*x^2 + 20*x^3 + 12*x^4 + E^x*(18 + 24*x + 8*x^2))/(18 + 24*x + 8*x^2),x]","\frac{1}{2} \left(x^3-2 x^2+2 x+2 e^x+\frac{3}{2 x+3}\right)","-\frac{1}{4} (4-2 x) x^2-\frac{x}{2 x+3}+x+e^x+4",1,"(2*E^x + 2*x - 2*x^2 + x^3 + 3/(3 + 2*x))/2","A",1
951,1,17,17,0.0141323,"\int \frac{e^{-2 x} \left(-e^2+e^2 (-2 e-2 x) \log (e+x)\right)}{(2 e+2 x) \log ^2(e+x)} \, dx","Integrate[(-E^2 + E^2*(-2*E - 2*x)*Log[E + x])/(E^(2*x)*(2*E + 2*x)*Log[E + x]^2),x]","\frac{e^{2-2 x}}{2 \log (x+e)}","\frac{e^{2-2 x}}{2 \log (x+e)}",1,"E^(2 - 2*x)/(2*Log[E + x])","A",1
952,1,21,21,0.0091997,"\int \frac{-100+e^4+320 x-61 x^2+3 x^3}{100-20 x+x^2} \, dx","Integrate[(-100 + E^4 + 320*x - 61*x^2 + 3*x^3)/(100 - 20*x + x^2),x]","\frac{3 x^2}{2}-x-\frac{e^4}{x-10}","\frac{3 x^2}{2}-x-\frac{e^4}{x-10}",1,"-(E^4/(-10 + x)) - x + (3*x^2)/2","A",1
953,1,10,16,0.0292649,"\int \frac{(1+x) \log (x)}{-1+x \log (x)} \, dx","Integrate[((1 + x)*Log[x])/(-1 + x*Log[x]),x]","x+\log (1-x \log (x))","\log \left(-x^2+x (x+\log (x))-1\right)+x",1,"x + Log[1 - x*Log[x]]","A",1
954,1,41,21,0.1561858,"\int \frac{-6 e+18 x+(-2 e+30 x) \log (x)+14 x \log ^2(x)+2 x \log ^3(x)+\left(4 e+9 x+(e+6 x) \log (x)+x \log ^2(x)\right) \log \left(x^2\right)}{9 x^2+6 x^2 \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(-6*E + 18*x + (-2*E + 30*x)*Log[x] + 14*x*Log[x]^2 + 2*x*Log[x]^3 + (4*E + 9*x + (E + 6*x)*Log[x] + x*Log[x]^2)*Log[x^2])/(9*x^2 + 6*x^2*Log[x] + x^2*Log[x]^2),x]","\frac{x \left(\log \left(x^2\right)+2\right) \log ^2(x)+3 x \left(\log \left(x^2\right)+2\right) \log (x)-e \log \left(x^2\right)}{x (\log (x)+3)}","\left(\log (x)-\frac{e}{x (\log (x)+3)}+1\right) \log \left(x^2\right)",1,"(-(E*Log[x^2]) + 3*x*Log[x]*(2 + Log[x^2]) + x*Log[x]^2*(2 + Log[x^2]))/(x*(3 + Log[x]))","A",1
955,1,20,20,0.1340052,"\int 5 e^{-5+e^{1+x+e^5 x}-2 x} \left(1-2 x+e^{1+x+e^5 x} \left(x+e^5 x\right)\right) \, dx","Integrate[5*E^(-5 + E^(1 + x + E^5*x) - 2*x)*(1 - 2*x + E^(1 + x + E^5*x)*(x + E^5*x)),x]","5 e^{-2 x+e^{e^5 x+x+1}-5} x","5 e^{-2 x+e^{e^5 x+x+1}-5} x",1,"5*E^(-5 + E^(1 + x + E^5*x) - 2*x)*x","A",1
956,1,22,24,0.0702768,"\int \frac{-2 e+45 x^3+6 x^4+\left(e-9 x^3-x^4\right) \log \left(\frac{-e x^2+9 x^5+x^6}{e}\right) \log \left(\log \left(\frac{-e x^2+9 x^5+x^6}{e}\right)\right)}{\left(e-9 x^3-x^4\right) \log \left(\frac{-e x^2+9 x^5+x^6}{e}\right) \log ^2\left(\log \left(\frac{-e x^2+9 x^5+x^6}{e}\right)\right)} \, dx","Integrate[(-2*E + 45*x^3 + 6*x^4 + (E - 9*x^3 - x^4)*Log[(-(E*x^2) + 9*x^5 + x^6)/E]*Log[Log[(-(E*x^2) + 9*x^5 + x^6)/E]])/((E - 9*x^3 - x^4)*Log[(-(E*x^2) + 9*x^5 + x^6)/E]*Log[Log[(-(E*x^2) + 9*x^5 + x^6)/E]]^2),x]","\frac{x}{\log \left(\log \left(\frac{x^5 (x+9)}{e}-x^2\right)\right)}","\frac{x}{\log \left(\log \left(\frac{x^5 (x+9)}{e}-x^2\right)\right)}+2",1,"x/Log[Log[-x^2 + (x^5*(9 + x))/E]]","A",1
957,1,16,14,0.0000724,"\int (-12+32 x+4 \log (4 e)) \, dx","Integrate[-12 + 32*x + 4*Log[4*E],x]","16 x^2-12 x+4 x \log (4 e)","4 x (4 x-3+\log (4 e))+2",1,"-12*x + 16*x^2 + 4*x*Log[4*E]","A",1
958,1,24,33,0.3536857,"\int \frac{-6 e^{5+\frac{1}{x^2}}+45 e^5 x+e^x \left(e^5 \left(45 x-45 x^2\right)+e^{5+\frac{1}{x^2}} \left(-6+3 x^3\right)\right)}{225 x-30 e^{\frac{1}{x^2}} x^2+e^{\frac{2}{x^2}} x^3+e^{2 x} \left(225 x-30 e^{\frac{1}{x^2}} x^2+e^{\frac{2}{x^2}} x^3\right)+e^x \left(450 x-60 e^{\frac{1}{x^2}} x^2+2 e^{\frac{2}{x^2}} x^3\right)} \, dx","Integrate[(-6*E^(5 + x^(-2)) + 45*E^5*x + E^x*(E^5*(45*x - 45*x^2) + E^(5 + x^(-2))*(-6 + 3*x^3)))/(225*x - 30*E^x^(-2)*x^2 + E^(2/x^2)*x^3 + E^(2*x)*(225*x - 30*E^x^(-2)*x^2 + E^(2/x^2)*x^3) + E^x*(450*x - 60*E^x^(-2)*x^2 + 2*E^(2/x^2)*x^3)),x]","-\frac{3 e^5 x}{\left(e^x+1\right) \left(e^{\frac{1}{x^2}} x-15\right)}","\frac{e^5 x}{\left(e^x+1\right) \left(\frac{1}{3} \left(3-e^{\frac{1}{x^2}}\right) x-x+5\right)}",1,"(-3*E^5*x)/((1 + E^x)*(-15 + E^x^(-2)*x))","A",1
959,1,36,21,0.0321163,"\int \frac{e^4-18 x+\left(5 e^4+10 x\right) \log \left(\frac{1}{e^8+4 e^4 x+4 x^2}\right)}{e^4+2 x} \, dx","Integrate[(E^4 - 18*x + (5*E^4 + 10*x)*Log[(E^8 + 4*E^4*x + 4*x^2)^(-1)])/(E^4 + 2*x),x]","x+\frac{5}{2} \left(2 x+e^4\right) \log \left(\frac{1}{\left(2 x+e^4\right)^2}\right)+5 e^4 \log \left(2 x+e^4\right)","2 x+x \left(5 \log \left(\frac{1}{\left(2 x+e^4\right)^2}\right)-1\right)+1",1,"x + (5*(E^4 + 2*x)*Log[(E^4 + 2*x)^(-2)])/2 + 5*E^4*Log[E^4 + 2*x]","A",1
960,1,33,34,0.0865026,"\int \frac{-16 x^2-8 x^3-17 x^4-8 x^5-x^6+\left(-100-10 x-140 x^2-10 x^3+10 x^4\right) \log ^2(2)+\left(-25-25 x^2\right) \log ^4(2)+\left(-8 x^2-2 x^3-8 x^4-2 x^5+\left(-25+10 x-25 x^2+10 x^3\right) \log ^2(2)\right) \log \left(1+x^2\right)+\left(-x^2-x^4\right) \log ^2\left(1+x^2\right)}{16 x^2+8 x^3+17 x^4+8 x^5+x^6+\left(-40 x-10 x^2-40 x^3-10 x^4\right) \log ^2(2)+\left(25+25 x^2\right) \log ^4(2)+\left(8 x^2+2 x^3+8 x^4+2 x^5+\left(-10 x-10 x^3\right) \log ^2(2)\right) \log \left(1+x^2\right)+\left(x^2+x^4\right) \log ^2\left(1+x^2\right)} \, dx","Integrate[(-16*x^2 - 8*x^3 - 17*x^4 - 8*x^5 - x^6 + (-100 - 10*x - 140*x^2 - 10*x^3 + 10*x^4)*Log[2]^2 + (-25 - 25*x^2)*Log[2]^4 + (-8*x^2 - 2*x^3 - 8*x^4 - 2*x^5 + (-25 + 10*x - 25*x^2 + 10*x^3)*Log[2]^2)*Log[1 + x^2] + (-x^2 - x^4)*Log[1 + x^2]^2)/(16*x^2 + 8*x^3 + 17*x^4 + 8*x^5 + x^6 + (-40*x - 10*x^2 - 40*x^3 - 10*x^4)*Log[2]^2 + (25 + 25*x^2)*Log[2]^4 + (8*x^2 + 2*x^3 + 8*x^4 + 2*x^5 + (-10*x - 10*x^3)*Log[2]^2)*Log[1 + x^2] + (x^2 + x^4)*Log[1 + x^2]^2),x]","\frac{25 \log ^2(2)}{x^2+x \log \left(x^2+1\right)+4 x-5 \log ^2(2)}-x","\frac{x}{\frac{\log ^2(2)}{-\log \left(x^2+1\right)-x-4}+\frac{x}{5}}-x",1,"-x + (25*Log[2]^2)/(4*x + x^2 - 5*Log[2]^2 + x*Log[1 + x^2])","A",1
961,1,67,26,0.0647039,"\int \frac{1-4 x+5 x^2-2 x^3+2 x^4+\left(-10 x+3 x^2\right) \log (6)}{x^2-4 x^3+4 x^4+\left(-2 x+4 x^2\right) \log (6)+\log ^2(6)} \, dx","Integrate[(1 - 4*x + 5*x^2 - 2*x^3 + 2*x^4 + (-10*x + 3*x^2)*Log[6])/(x^2 - 4*x^3 + 4*x^4 + (-2*x + 4*x^2)*Log[6] + Log[6]^2),x]","\frac{1}{4} \left(\frac{x \left(9+8 \log ^2(6)+\log (46656)-4 \log (6) (19+\log (46656))\right)-4+78 \log ^2(6)+\log (6) (23-2 \log (216))}{(8 \log (6)-1) \left(2 x^2-x+\log (6)\right)}+2 x\right)","\frac{1-(5-x) x^2}{2 x^2-x+\log (6)}",1,"(2*x + (-4 + 78*Log[6]^2 + Log[6]*(23 - 2*Log[216]) + x*(9 + 8*Log[6]^2 + Log[46656] - 4*Log[6]*(19 + Log[46656])))/((-x + 2*x^2 + Log[6])*(-1 + 8*Log[6])))/4","B",0
962,1,36,25,0.0145225,"\int \frac{12+16 x^3+e^6 \left(2-24 x^2\right)-8 \log (2)}{e^{12}-2 e^6 x+x^2} \, dx","Integrate[(12 + 16*x^3 + E^6*(2 - 24*x^2) - 8*Log[2])/(E^12 - 2*E^6*x + x^2),x]","\frac{2 \left(-4 x^3+12 e^{12} x-12 e^{18}+e^6+6-4 \log (2)\right)}{e^6-x}","\frac{2 \left(4 \left(x^3-2+\log (2)\right)-x+2\right)}{x-e^6}",1,"(2*(6 + E^6 - 12*E^18 + 12*E^12*x - 4*x^3 - 4*Log[2]))/(E^6 - x)","A",1
963,1,17,17,0.0372617,"\int e^{e^{e^x+2 x}+8 x \log (6)} \left(e^{e^x+2 x} \left(2+e^x\right)+8 \log (6)\right) \, dx","Integrate[E^(E^(E^x + 2*x) + 8*x*Log[6])*(E^(E^x + 2*x)*(2 + E^x) + 8*Log[6]),x]","6^{8 x} e^{e^{2 x+e^x}}","e^{e^{2 x+e^x}+8 x \log (6)}",1,"6^(8*x)*E^E^(E^x + 2*x)","A",1
964,1,19,20,0.075902,"\int \frac{150 x^2+150 x^3+\left(2 x-75 x^4+\left(2-75 x^3\right) \log (x)\right) \log (x+\log (x))}{\left(75 x^4+75 x^3 \log (x)\right) \log (x+\log (x))} \, dx","Integrate[(150*x^2 + 150*x^3 + (2*x - 75*x^4 + (2 - 75*x^3)*Log[x])*Log[x + Log[x]])/((75*x^4 + 75*x^3*Log[x])*Log[x + Log[x]]),x]","-\frac{1}{75 x^2}-x+2 \log (\log (x+\log (x)))","-\frac{1}{75 x^2}-x+\log \left(\log ^2(x+\log (x))\right)+2",1,"-1/75*1/x^2 - x + 2*Log[Log[x + Log[x]]]","A",1
965,1,14,14,0.2106862,"\int \frac{1+x-2 x^2+4 x^4}{-84 x+x^2-x^3+x^5+x \log (x)} \, dx","Integrate[(1 + x - 2*x^2 + 4*x^4)/(-84*x + x^2 - x^3 + x^5 + x*Log[x]),x]","\log \left(x^4-x^2+x+\log (x)-84\right)","\log \left(x^4-x^2+x+\log (x)-84\right)",1,"Log[-84 + x - x^2 + x^4 + Log[x]]","A",1
966,1,63,23,0.0764181,"\int \frac{-600000-588000 x-232860 x^2-46572 x^3-4704 x^4-192 x^5+\left(300000+441000 x+265560 x^2+82968 x^3+14244 x^4+1284 x^5+48 x^6\right) \log (x)+\left(-147000 x-146400 x^2-58920 x^3-11904 x^4-1200 x^5-48 x^6\right) \log ^2(x)+\left(75000 x+112500 x^2+67500 x^3+21000 x^4+3600 x^5+324 x^6+12 x^7\right) \log ^3(x)}{\left(3125 x+3125 x^2+1250 x^3+250 x^4+25 x^5+x^6\right) \log ^3(x)} \, dx","Integrate[(-600000 - 588000*x - 232860*x^2 - 46572*x^3 - 4704*x^4 - 192*x^5 + (300000 + 441000*x + 265560*x^2 + 82968*x^3 + 14244*x^4 + 1284*x^5 + 48*x^6)*Log[x] + (-147000*x - 146400*x^2 - 58920*x^3 - 11904*x^4 - 1200*x^5 - 48*x^6)*Log[x]^2 + (75000*x + 112500*x^2 + 67500*x^3 + 21000*x^4 + 3600*x^5 + 324*x^6 + 12*x^7)*Log[x]^3)/((3125*x + 3125*x^2 + 1250*x^3 + 250*x^4 + 25*x^5 + x^6)*Log[x]^3),x]","12 \left(\frac{x^2}{2}+\frac{\left(4 x^2+39 x+100\right)^2}{2 (x+5)^4 \log ^2(x)}+\frac{-4 x^3-47 x^2-178 x-200}{(x+5)^2 \log (x)}+2 x\right)","6 \left(x-\frac{4-\frac{x}{(x+5)^2}}{\log (x)}+2\right)^2",1,"12*(2*x + x^2/2 + (100 + 39*x + 4*x^2)^2/(2*(5 + x)^4*Log[x]^2) + (-200 - 178*x - 47*x^2 - 4*x^3)/((5 + x)^2*Log[x]))","B",1
967,1,13,15,0.0009933,"\int \frac{8-4 e}{e^4 x^2} \, dx","Integrate[(8 - 4*E)/(E^4*x^2),x]","-\frac{8-4 e}{e^4 x}","-\frac{8 \left(1-\frac{e}{2}\right)}{e^4 x}",1,"-((8 - 4*E)/(E^4*x))","A",1
968,1,37,21,0.4717428,"\int \frac{5+e^{e^5 x-x^2} \left(1+e^5 (-1-x)+2 x+2 x^2\right)}{25+e^{2 e^5 x-2 x^2}+10 e^{e^5 x-x^2}} \, dx","Integrate[(5 + E^(E^5*x - x^2)*(1 + E^5*(-1 - x) + 2*x + 2*x^2))/(25 + E^(2*E^5*x - 2*x^2) + 10*E^(E^5*x - x^2)),x]","\frac{x}{5}-\frac{e^{e^5 x} (x+1)}{5 \left(5 e^{x^2}+e^{e^5 x}\right)}","\frac{x+1}{e^{\left(e^5-x\right) x}+5}+2",1,"x/5 - (E^(E^5*x)*(1 + x))/(5*(E^(E^5*x) + 5*E^x^2))","A",1
969,1,23,21,0.0048368,"\int \frac{-2+x^2+3 x^4-4 x^3 \log (3)+x^2 \log ^2(3)}{x^2} \, dx","Integrate[(-2 + x^2 + 3*x^4 - 4*x^3*Log[3] + x^2*Log[3]^2)/x^2,x]","x^3-2 x^2 \log (3)+x+\frac{2}{x}+x \log ^2(3)","x+\frac{2 (x+1)}{x}+x (\log (3)-x)^2+6",1,"2/x + x + x^3 - 2*x^2*Log[3] + x*Log[3]^2","A",1
970,1,19,23,0.0062166,"\int \frac{-1-8 e^2 x+8 x^2}{e^2-x} \, dx","Integrate[(-1 - 8*E^2*x + 8*x^2)/(E^2 - x),x]","-4 x^2+\log \left(e^2-x\right)+4 e^4","\log \left(-\frac{1}{2} e^{-4 x^2} \left(1-\frac{e^2}{x}\right) x\right)",1,"4*E^4 - 4*x^2 + Log[E^2 - x]","A",1
971,1,39,32,0.2754798,"\int \frac{48 x^2-28 x^3+4 x^4+\left(96 x^2+104 x^3-40 x^4\right) \log (x)+e^{2 e^{x/2}} \left(63700992-249495552 x+452984832 x^2-505331712 x^3+386967552 x^4-215183872 x^5+89609472 x^6-28389312 x^7+6876012 x^8-1267047 x^9+174861 x^{10}-17526 x^{11}+1206 x^{12}-51 x^{13}+x^{14}+e^{x/2} \left(63700992 x-249495552 x^2+452984832 x^3-505331712 x^4+386967552 x^5-215183872 x^6+89609472 x^7-28389312 x^8+6876012 x^9-1267047 x^{10}+174861 x^{11}-17526 x^{12}+1206 x^{13}-51 x^{14}+x^{15}\right) \log (x)\right)+e^{e^{x/2}} \left(110592 x-248832 x^2+244224 x^3-136576 x^4+47600 x^5-10588 x^6+1468 x^7-116 x^8+4 x^9+\left(110592 x-64512 x^2-118272 x^3+168064 x^4-94224 x^5+28916 x^6-5116 x^7+492 x^8-20 x^9+e^{x/2} \left(55296 x^2-124416 x^3+122112 x^4-68288 x^5+23800 x^6-5294 x^7+734 x^8-58 x^9+2 x^{10}\right)\right) \log (x)\right)}{63700992 x-249495552 x^2+452984832 x^3-505331712 x^4+386967552 x^5-215183872 x^6+89609472 x^7-28389312 x^8+6876012 x^9-1267047 x^{10}+174861 x^{11}-17526 x^{12}+1206 x^{13}-51 x^{14}+x^{15}} \, dx","Integrate[(48*x^2 - 28*x^3 + 4*x^4 + (96*x^2 + 104*x^3 - 40*x^4)*Log[x] + E^(2*E^(x/2))*(63700992 - 249495552*x + 452984832*x^2 - 505331712*x^3 + 386967552*x^4 - 215183872*x^5 + 89609472*x^6 - 28389312*x^7 + 6876012*x^8 - 1267047*x^9 + 174861*x^10 - 17526*x^11 + 1206*x^12 - 51*x^13 + x^14 + E^(x/2)*(63700992*x - 249495552*x^2 + 452984832*x^3 - 505331712*x^4 + 386967552*x^5 - 215183872*x^6 + 89609472*x^7 - 28389312*x^8 + 6876012*x^9 - 1267047*x^10 + 174861*x^11 - 17526*x^12 + 1206*x^13 - 51*x^14 + x^15)*Log[x]) + E^E^(x/2)*(110592*x - 248832*x^2 + 244224*x^3 - 136576*x^4 + 47600*x^5 - 10588*x^6 + 1468*x^7 - 116*x^8 + 4*x^9 + (110592*x - 64512*x^2 - 118272*x^3 + 168064*x^4 - 94224*x^5 + 28916*x^6 - 5116*x^7 + 492*x^8 - 20*x^9 + E^(x/2)*(55296*x^2 - 124416*x^3 + 122112*x^4 - 68288*x^5 + 23800*x^6 - 5294*x^7 + 734*x^8 - 58*x^9 + 2*x^10))*Log[x]))/(63700992*x - 249495552*x^2 + 452984832*x^3 - 505331712*x^4 + 386967552*x^5 - 215183872*x^6 + 89609472*x^7 - 28389312*x^8 + 6876012*x^9 - 1267047*x^10 + 174861*x^11 - 17526*x^12 + 1206*x^13 - 51*x^14 + x^15),x]","\frac{\left(e^{e^{x/2}} (x-3)^2 (x-4)^4+2 x\right)^2 \log (x)}{(x-4)^8 (x-3)^4}","\left(\frac{2 x}{(3-x)^2 (4-x)^4}+e^{e^{x/2}}\right)^2 \log (x)",1,"((E^E^(x/2)*(-4 + x)^4*(-3 + x)^2 + 2*x)^2*Log[x])/((-4 + x)^8*(-3 + x)^4)","A",1
972,1,28,28,0.0476077,"\int \frac{78+24 x+6 e^5 x \log (x)+\left(-12+24 x+e^5 (-3+6 x)+e^5 (-3+6 x) \log (x)\right) \log ((-1+2 x) \log (2))}{\left(-169+234 x+192 x^2+32 x^3+e^5 \left(-26 x+44 x^2+16 x^3\right) \log (x)+e^{10} \left(-x^2+2 x^3\right) \log ^2(x)\right) \log ^2((-1+2 x) \log (2))} \, dx","Integrate[(78 + 24*x + 6*E^5*x*Log[x] + (-12 + 24*x + E^5*(-3 + 6*x) + E^5*(-3 + 6*x)*Log[x])*Log[(-1 + 2*x)*Log[2]])/((-169 + 234*x + 192*x^2 + 32*x^3 + E^5*(-26*x + 44*x^2 + 16*x^3)*Log[x] + E^10*(-x^2 + 2*x^3)*Log[x]^2)*Log[(-1 + 2*x)*Log[2]]^2),x]","\frac{3}{\left(-4 x-e^5 x \log (x)-13\right) \log ((2 x-1) \log (2))}","\frac{3}{\left(-x \left(e^5 \log (x)+4\right)-13\right) \log ((2 x-1) \log (2))}",1,"3/((-13 - 4*x - E^5*x*Log[x])*Log[(-1 + 2*x)*Log[2]])","A",1
973,1,8,13,0.000733,"\int \frac{2+11 x}{2 x} \, dx","Integrate[(2 + 11*x)/(2*x),x]","\frac{11 x}{2}+\log (x)","-\frac{x}{2}+6 (x+3)+\log (x)",1,"(11*x)/2 + Log[x]","A",1
974,1,22,26,0.0659983,"\int \frac{10 e+2 x^2-5 x^3+\left(-2 e+x^3\right) \log \left(\frac{e^2}{3 x^2}\right)}{-5 x^3+x^3 \log \left(\frac{e^2}{3 x^2}\right)} \, dx","Integrate[(10*E + 2*x^2 - 5*x^3 + (-2*E + x^3)*Log[E^2/(3*x^2)])/(-5*x^3 + x^3*Log[E^2/(3*x^2)]),x]","\frac{e}{x^2}-\log \left(3-\log \left(\frac{1}{3 x^2}\right)\right)+x","\frac{e}{x^2}-\log \left(5-\log \left(\frac{e^2}{3 x^2}\right)\right)+x+3",1,"E/x^2 + x - Log[3 - Log[1/(3*x^2)]]","A",1
975,1,30,26,0.4217373,"\int \frac{-6-3 e^x+e^{\frac{1}{3} \left(3 x+\log \left(2+e^x-\log \left(\frac{5}{2}\right)\right)\right)} \left(6+4 e^x-3 \log \left(\frac{5}{2}\right)\right)+3 \log \left(\frac{5}{2}\right)+\left(-6-3 e^x+3 \log \left(\frac{5}{2}\right)\right) \log (x)}{6+3 e^x-3 \log \left(\frac{5}{2}\right)} \, dx","Integrate[(-6 - 3*E^x + E^((3*x + Log[2 + E^x - Log[5/2]])/3)*(6 + 4*E^x - 3*Log[5/2]) + 3*Log[5/2] + (-6 - 3*E^x + 3*Log[5/2])*Log[x])/(6 + 3*E^x - 3*Log[5/2]),x]","\frac{1}{3} \left(3 e^x \sqrt[3]{e^x+2-\log \left(\frac{5}{2}\right)}-3 x \log (x)\right)","-x \log (x)+e^x \sqrt[3]{e^x+2-\log \left(\frac{5}{2}\right)}+5",1,"(3*E^x*(2 + E^x - Log[5/2])^(1/3) - 3*x*Log[x])/3","A",1
976,1,23,27,0.1537677,"\int \frac{\left(5-26 x+10 x^2-x^3+\left(-3 x+30 x^2-6 x^3\right) \log (2)-9 x^3 \log ^2(2)\right) \log (3)+(x+3 x \log (2)) \log (3) \log (20 x)}{25 x-10 x^2+x^3+\left(-30 x^2+6 x^3\right) \log (2)+9 x^3 \log ^2(2)} \, dx","Integrate[((5 - 26*x + 10*x^2 - x^3 + (-3*x + 30*x^2 - 6*x^3)*Log[2] - 9*x^3*Log[2]^2)*Log[3] + (x + 3*x*Log[2])*Log[3]*Log[20*x])/(25*x - 10*x^2 + x^3 + (-30*x^2 + 6*x^3)*Log[2] + 9*x^3*Log[2]^2),x]","\log (3) \left(\frac{\log (20 x)}{5-x (1+\log (8))}-x\right)","\log (3) \left(-x+\frac{\log (20 x)}{-x-3 x \log (2)+5}+1\right)+2",1,"Log[3]*(-x + Log[20*x]/(5 - x*(1 + Log[8])))","A",1
977,1,22,28,0.3149617,"\int \frac{3+2 x^3+e^{x+17 x^2} \left(-1+x+34 x^2\right)}{9+e^{2 x+34 x^2}-18 x+9 x^2-6 x^3+6 x^4+x^6+e^{x+17 x^2} \left(-6+6 x+2 x^3\right)} \, dx","Integrate[(3 + 2*x^3 + E^(x + 17*x^2)*(-1 + x + 34*x^2))/(9 + E^(2*x + 34*x^2) - 18*x + 9*x^2 - 6*x^3 + 6*x^4 + x^6 + E^(x + 17*x^2)*(-6 + 6*x + 2*x^3)),x]","-\frac{x}{x^3+e^{17 x^2+x}+3 x-3}","\frac{x}{3-x \left(\frac{x^3+e^{17 x^2+x}}{x}+3\right)}",1,"-(x/(-3 + E^(x + 17*x^2) + 3*x + x^3))","A",1
978,1,39,31,0.8714686,"\int \frac{-364+406 x+189 x^2+e^{2 x} \left(405+162 x^2\right)+e^x \left(270+594 x-108 x^2+162 x^3\right)}{4800+19683 e^{4 x}-25920 x+54432 x^2-52488 x^3+19683 x^4+e^{3 x} (-52488+78732 x)+e^{2 x} \left(54432-157464 x+118098 x^2\right)+e^x \left(-25920+108864 x-157464 x^2+78732 x^3\right)} \, dx","Integrate[(-364 + 406*x + 189*x^2 + E^(2*x)*(405 + 162*x^2) + E^x*(270 + 594*x - 108*x^2 + 162*x^3))/(4800 + 19683*E^(4*x) - 25920*x + 54432*x^2 - 52488*x^3 + 19683*x^4 + E^(3*x)*(-52488 + 78732*x) + E^(2*x)*(54432 - 157464*x + 118098*x^2) + E^x*(-25920 + 108864*x - 157464*x^2 + 78732*x^3)),x]","-\frac{x^2+x+3}{3 \left(81 x^2-108 x+81 e^{2 x}+54 e^x (3 x-2)+40\right)}","\frac{-x^2-x-3}{3 \left(9 \left(2-3 \left(x+e^x\right)\right)^2+4\right)}",1,"-1/3*(3 + x + x^2)/(40 + 81*E^(2*x) - 108*x + 81*x^2 + 54*E^x*(-2 + 3*x))","A",1
979,1,20,20,0.1713667,"\int \frac{\exp \left(-x+\frac{e^{-x} \left(1+128 e^x x^6 \log ^2(5)\right)}{64 x^6 \log ^2(5)}\right) (-6-x)}{64 x^7 \log ^2(5)} \, dx","Integrate[(E^(-x + (1 + 128*E^x*x^6*Log[5]^2)/(64*E^x*x^6*Log[5]^2))*(-6 - x))/(64*x^7*Log[5]^2),x]","e^{\frac{e^{-x}}{64 x^6 \log ^2(5)}+2}","e^{\frac{e^{-x}}{64 x^6 \log ^2(5)}+2}",1,"E^(2 + 1/(64*E^x*x^6*Log[5]^2))","A",1
980,1,31,38,0.052498,"\int \frac{-10 e^4-5 x+6 x^3+e^x \left(10-5 x+5 x^3\right)-5 x \log (2)}{x^3} \, dx","Integrate[(-10*E^4 - 5*x + 6*x^3 + E^x*(10 - 5*x + 5*x^3) - 5*x*Log[2])/x^3,x]","\frac{5 e^x \left(x^2-1\right)+x \left(6 x^2+5+\log (32)\right)+5 e^4}{x^2}","5 \left(-\frac{-x^2+\frac{e^x-e^4}{x}-1-\log (2)}{x}+e^x+1\right)+x",1,"(5*E^4 + 5*E^x*(-1 + x^2) + x*(5 + 6*x^2 + Log[32]))/x^2","A",1
981,1,23,25,0.0896722,"\int \frac{e^{4/x} (-144-27 x)+e^{4/x} (36+9 x) \log \left(\frac{\log (4)}{x}\right)}{8 x^3} \, dx","Integrate[(E^(4/x)*(-144 - 27*x) + E^(4/x)*(36 + 9*x)*Log[Log[4]/x])/(8*x^3),x]","-\frac{9 e^{4/x} \left(\log \left(\frac{\log (4)}{x}\right)-4\right)}{8 x}","\frac{9 e^{4/x} \left(4-\log \left(\frac{\log (4)}{x}\right)\right)}{8 x}",1,"(-9*E^(4/x)*(-4 + Log[Log[4]/x]))/(8*x)","A",1
982,1,9,9,0.0012483,"\int \left(-20+10 \log \left(\frac{24}{x^2}\right)\right) \, dx","Integrate[-20 + 10*Log[24/x^2],x]","10 x \log \left(\frac{24}{x^2}\right)","10 x \log \left(\frac{24}{x^2}\right)",1,"10*x*Log[24/x^2]","A",1
983,1,17,21,0.0000745,"\int \frac{2 x}{\log \left(2 e^{-4+\log ^2(2)}\right)} \, dx","Integrate[(2*x)/Log[2*E^(-4 + Log[2]^2)],x]","\frac{x^2}{\log \left(2 e^{\log ^2(2)-4}\right)}","\frac{x^2+1}{\log \left(2 e^{\log ^2(2)-4}\right)}+2",1,"x^2/Log[2*E^(-4 + Log[2]^2)]","A",1
984,1,22,28,0.614093,"\int \frac{-10 x-5 x^2+\left(40 x+40 x^2\right) \log (x)+(70+35 x) \log ^2(x)+20 x \log ^3(x)+\left(\left(-10 x-10 x^2\right) \log (x)+(-20-10 x) \log ^2(x)-5 x \log ^3(x)\right) \log (\log (x))}{\left(64 x^3+64 x^4+16 x^5\right) \log (x)+\left(128 x^2+128 x^3+32 x^4\right) \log ^3(x)+\left(64 x+64 x^2+16 x^3\right) \log ^5(x)+\left(\left(-32 x^3-32 x^4-8 x^5\right) \log (x)+\left(-64 x^2-64 x^3-16 x^4\right) \log ^3(x)+\left(-32 x-32 x^2-8 x^3\right) \log ^5(x)\right) \log (\log (x))+\left(\left(4 x^3+4 x^4+x^5\right) \log (x)+\left(8 x^2+8 x^3+2 x^4\right) \log ^3(x)+\left(4 x+4 x^2+x^3\right) \log ^5(x)\right) \log ^2(\log (x))} \, dx","Integrate[(-10*x - 5*x^2 + (40*x + 40*x^2)*Log[x] + (70 + 35*x)*Log[x]^2 + 20*x*Log[x]^3 + ((-10*x - 10*x^2)*Log[x] + (-20 - 10*x)*Log[x]^2 - 5*x*Log[x]^3)*Log[Log[x]])/((64*x^3 + 64*x^4 + 16*x^5)*Log[x] + (128*x^2 + 128*x^3 + 32*x^4)*Log[x]^3 + (64*x + 64*x^2 + 16*x^3)*Log[x]^5 + ((-32*x^3 - 32*x^4 - 8*x^5)*Log[x] + (-64*x^2 - 64*x^3 - 16*x^4)*Log[x]^3 + (-32*x - 32*x^2 - 8*x^3)*Log[x]^5)*Log[Log[x]] + ((4*x^3 + 4*x^4 + x^5)*Log[x] + (8*x^2 + 8*x^3 + 2*x^4)*Log[x]^3 + (4*x + 4*x^2 + x^3)*Log[x]^5)*Log[Log[x]]^2),x]","\frac{5}{(x+2) \left(x+\log ^2(x)\right) (\log (\log (x))-4)}","\frac{5}{2 \left(\frac{x}{2}+1\right) \left(x+\log ^2(x)\right) (\log (\log (x))-4)}",1,"5/((2 + x)*(x + Log[x]^2)*(-4 + Log[Log[x]]))","A",1
985,1,23,30,0.007466,"\int \frac{16 e^{4/x}+2 x^2+e^4 x^2+8 x^3}{x^2} \, dx","Integrate[(16*E^(4/x) + 2*x^2 + E^4*x^2 + 8*x^3)/x^2,x]","4 x^2+e^4 x+2 x-4 e^{4/x}","-4 \left(e^{4/x}-x^2\right)+2 x+e^4 \left(x+e^{4/3}\right)",1,"-4*E^(4/x) + 2*x + E^4*x + 4*x^2","A",1
986,1,14,14,0.0020459,"\int \left(450 e^5 x+900 e^5 x \log \left(\frac{x}{2}\right)\right) \, dx","Integrate[450*E^5*x + 900*E^5*x*Log[x/2],x]","450 e^5 x^2 \log \left(\frac{x}{2}\right)","450 e^5 x^2 \log \left(\frac{x}{2}\right)",1,"450*E^5*x^2*Log[x/2]","A",1
987,1,66,36,0.3192212,"\int \frac{32 x^4-16 x^5+2 x^6+\left(-16 x^3+4 x^4\right) \log (x)+2 x^2 \log ^2(x)+\exp \left(\frac{-5 x+4 x^3-x^3 \log (x)}{-4 x+x^2+\log (x)}\right) \left(10 x^2+2 x^4-56 x^5+6 x^6+\left(-10 x^2+24 x^4+16 x^5-2 x^6\right) \log (x)-6 x^4 \log ^2(x)\right)+\exp \left(\frac{2 \left(-5 x+4 x^3-x^3 \log (x)\right)}{-4 x+x^2+\log (x)}\right) \left(10 x-16 x^2+10 x^3-57 x^4+6 x^5+\left(-2 x-2 x^2+24 x^3+16 x^4-2 x^5\right) \log (x)+\left(-1-6 x^3\right) \log ^2(x)\right)}{16 x^4-8 x^5+x^6+\left(-8 x^3+2 x^4\right) \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(32*x^4 - 16*x^5 + 2*x^6 + (-16*x^3 + 4*x^4)*Log[x] + 2*x^2*Log[x]^2 + E^((-5*x + 4*x^3 - x^3*Log[x])/(-4*x + x^2 + Log[x]))*(10*x^2 + 2*x^4 - 56*x^5 + 6*x^6 + (-10*x^2 + 24*x^4 + 16*x^5 - 2*x^6)*Log[x] - 6*x^4*Log[x]^2) + E^((2*(-5*x + 4*x^3 - x^3*Log[x]))/(-4*x + x^2 + Log[x]))*(10*x - 16*x^2 + 10*x^3 - 57*x^4 + 6*x^5 + (-2*x - 2*x^2 + 24*x^3 + 16*x^4 - 2*x^5)*Log[x] + (-1 - 6*x^3)*Log[x]^2))/(16*x^4 - 8*x^5 + x^6 + (-8*x^3 + 2*x^4)*Log[x] + x^2*Log[x]^2),x]","2 \exp \left(-\frac{x \left(-4 x^2+x^2 \log (x)+5\right)}{(x-4) x+\log (x)}\right)+\frac{\exp \left(-\frac{2 x \left(-4 x^2+x^2 \log (x)+5\right)}{(x-4) x+\log (x)}\right)}{x}+2 x","\frac{\left(e^{\frac{x^2 (4-\log (x))-5}{x+\frac{\log (x)}{x}-4}}+x\right)^2}{x}+x",1,"2/E^((x*(5 - 4*x^2 + x^2*Log[x]))/((-4 + x)*x + Log[x])) + 1/(E^((2*x*(5 - 4*x^2 + x^2*Log[x]))/((-4 + x)*x + Log[x]))*x) + 2*x","A",1
988,1,14,12,0.0129891,"\int \frac{e (15+15 x)+e (45+15 x) \log (3+x)}{3+x} \, dx","Integrate[(E*(15 + 15*x) + E*(45 + 15*x)*Log[3 + x])/(3 + x),x]","15 e (x \log (x+3)+\log (x+3))","5 e (3 x+3) \log (x+3)",1,"15*E*(Log[3 + x] + x*Log[3 + x])","A",1
989,1,9,9,0.0036273,"\int -\frac{3}{4} e^{\frac{1}{4} (4-3 x)} \, dx","Integrate[(-3*E^((4 - 3*x)/4))/4,x]","e^{1-\frac{3 x}{4}}","e^{1-\frac{3 x}{4}}",1,"E^(1 - (3*x)/4)","A",1
990,1,23,37,0.2102519,"\int \frac{e^{-x} \left(-4 e^x x+\left(48+e^x (48-12 x)+36 x-12 x^2+e^x (-8+2 x) \log (x)\right) \log \left(16-8 x+x^2\right)+e^x (-8+2 x) \log \left(16-8 x+x^2\right) \log \left(\log \left(16-8 x+x^2\right)\right)\right)}{\left(-4 x^2+x^3\right) \log \left(16-8 x+x^2\right)} \, dx","Integrate[(-4*E^x*x + (48 + E^x*(48 - 12*x) + 36*x - 12*x^2 + E^x*(-8 + 2*x)*Log[x])*Log[16 - 8*x + x^2] + E^x*(-8 + 2*x)*Log[16 - 8*x + x^2]*Log[Log[16 - 8*x + x^2]])/(E^x*(-4*x^2 + x^3)*Log[16 - 8*x + x^2]),x]","-\frac{2 \left(-6 e^{-x}+\log (x)+\log \left(\log \left((x-4)^2\right)\right)-5\right)}{x}","\frac{4 \left(2 x+3 e^{-x}+\frac{1}{2} \left(-\log (x)-\log \left(\log \left((4-x)^2\right)\right)+5\right)\right)}{x}",1,"(-2*(-5 - 6/E^x + Log[x] + Log[Log[(-4 + x)^2]]))/x","A",1
991,1,18,22,0.0163097,"\int \frac{-3+3 x+e^{e^x} \left(2 x^2+e^x x^3\right)}{3 x} \, dx","Integrate[(-3 + 3*x + E^E^x*(2*x^2 + E^x*x^3))/(3*x),x]","\frac{1}{3} e^{e^x} x^2+x-\log (x)","\frac{1}{3} e^{e^x} x^2+x-\log (2 x)+\log (5)",1,"x + (E^E^x*x^2)/3 - Log[x]","A",1
992,0,0,25,0.5191739,"\int \frac{\exp \left(e^{\frac{11 x-x^3+x^4-2 x^2 \log (x)+\log ^2(x)}{x}}+\frac{11 x-x^3+x^4-2 x^2 \log (x)+\log ^2(x)}{x}\right) \left(-2 x^2-2 x^3+3 x^4+\left(2-2 x^2\right) \log (x)-\log ^2(x)\right)}{x^2} \, dx","Integrate[(E^(E^((11*x - x^3 + x^4 - 2*x^2*Log[x] + Log[x]^2)/x) + (11*x - x^3 + x^4 - 2*x^2*Log[x] + Log[x]^2)/x)*(-2*x^2 - 2*x^3 + 3*x^4 + (2 - 2*x^2)*Log[x] - Log[x]^2))/x^2,x]","\int \frac{\exp \left(e^{\frac{11 x-x^3+x^4-2 x^2 \log (x)+\log ^2(x)}{x}}+\frac{11 x-x^3+x^4-2 x^2 \log (x)+\log ^2(x)}{x}\right) \left(-2 x^2-2 x^3+3 x^4+\left(2-2 x^2\right) \log (x)-\log ^2(x)\right)}{x^2} \, dx","e^{e^{11-x \left(x-\left(\frac{\log (x)}{x}-x\right)^2\right)}}",1,"Integrate[(E^(E^((11*x - x^3 + x^4 - 2*x^2*Log[x] + Log[x]^2)/x) + (11*x - x^3 + x^4 - 2*x^2*Log[x] + Log[x]^2)/x)*(-2*x^2 - 2*x^3 + 3*x^4 + (2 - 2*x^2)*Log[x] - Log[x]^2))/x^2, x]","F",-1
993,1,22,26,0.0060565,"\int \frac{1}{2} \left(-1-30 x-60 x^2-75 x^2 \log (2)\right) \, dx","Integrate[(-1 - 30*x - 60*x^2 - 75*x^2*Log[2])/2,x]","\frac{1}{2} \left(-5 x^3 (4+\log (32))-15 x^2-x\right)","\frac{1}{2} \left(-5 x^2 (-x+5 x (1+\log (2))+3)-x+3\right)",1,"(-x - 15*x^2 - 5*x^3*(4 + Log[32]))/2","A",1
994,1,10,20,0.0009057,"\int \frac{e+4 x^2}{x^2} \, dx","Integrate[(E + 4*x^2)/x^2,x]","4 x-\frac{e}{x}","\frac{-4 x^2+3 x-e}{x}+8 x",1,"-(E/x) + 4*x","A",1
995,1,43,22,0.0052588,"\int \left(6-6 x-3 x^2+e^2 (3+2 x)+(-3-2 x) \log ^2(5)\right) \, dx","Integrate[6 - 6*x - 3*x^2 + E^2*(3 + 2*x) + (-3 - 2*x)*Log[5]^2,x]","-x^3+e^2 x^2-3 x^2-x^2 \log ^2(5)+3 e^2 x+6 x-3 x \log ^2(5)","x+x \left(5-(x+3) \left(x-e^2+\log ^2(5)\right)\right)",1,"6*x + 3*E^2*x - 3*x^2 + E^2*x^2 - x^3 - 3*x*Log[5]^2 - x^2*Log[5]^2","A",1
996,1,36,22,0.3928097,"\int \frac{50+60 x+12 x^2+e^{2 x} \left(72-108 x+27 x^2\right)+e^x \left(-120+18 x+63 x^2\right)}{25+20 x+4 x^2+e^{2 x} \left(36-36 x+9 x^2\right)+e^x \left(-60+6 x+12 x^2\right)} \, dx","Integrate[(50 + 60*x + 12*x^2 + E^(2*x)*(72 - 108*x + 27*x^2) + E^x*(-120 + 18*x + 63*x^2))/(25 + 20*x + 4*x^2 + E^(2*x)*(36 - 36*x + 9*x^2) + E^x*(-60 + 6*x + 12*x^2)),x]","-\frac{9 x^2}{(x-2) \left(3 e^x (x-2)+2 x+5\right)}+3 x+\frac{4}{x-2}","x \left(\frac{x}{x+\frac{3}{e^x+\frac{2}{3}}-2}+2\right)",1,"4/(-2 + x) + 3*x - (9*x^2)/((-2 + x)*(5 + 3*E^x*(-2 + x) + 2*x))","A",1
997,1,36,28,0.0473294,"\int \frac{6 e^{3 x}+3 e^{4 x}+e^{2 x} (4-32 x)+e^x (1-31 x)+75 x^2}{6 e^{3 x} x+3 e^{4 x} x-5 x^2+75 x^3+e^x \left(x-30 x^2\right)+e^{2 x} \left(4 x-30 x^2\right)} \, dx","Integrate[(6*E^(3*x) + 3*E^(4*x) + E^(2*x)*(4 - 32*x) + E^x*(1 - 31*x) + 75*x^2)/(6*E^(3*x)*x + 3*E^(4*x)*x - 5*x^2 + 75*x^3 + E^x*(x - 30*x^2) + E^(2*x)*(4*x - 30*x^2)),x]","\log \left(-15 x+3 e^x+3 e^{2 x}+1\right)-\log \left(-5 x+e^x+e^{2 x}\right)+\log (x)","\log \left(\frac{x}{3 \left(5 x-e^x-e^{2 x}\right)}-x\right)",1,"Log[1 + 3*E^x + 3*E^(2*x) - 15*x] - Log[E^x + E^(2*x) - 5*x] + Log[x]","A",1
998,1,24,26,0.205285,"\int \frac{-\log \left(\frac{x}{2}\right) \log (x)+\log \left(\frac{x}{2}\right) \left(1+\log \left(\frac{x}{e^4}\right)\right)+\log (x) \left(1+\log \left(\frac{x}{e^4}\right)\right) \log \left(\frac{-4-4 \log \left(\frac{x}{e^4}\right)}{\log (x)}\right)}{\log (x) \left(x+x \log \left(\frac{x}{e^4}\right)\right) \log ^2\left(\frac{-4-4 \log \left(\frac{x}{e^4}\right)}{\log (x)}\right)} \, dx","Integrate[(-(Log[x/2]*Log[x]) + Log[x/2]*(1 + Log[x/E^4]) + Log[x]*(1 + Log[x/E^4])*Log[(-4 - 4*Log[x/E^4])/Log[x]])/(Log[x]*(x + x*Log[x/E^4])*Log[(-4 - 4*Log[x/E^4])/Log[x]]^2),x]","\frac{3 \log (x)-\log (8)}{3 \log \left(\frac{12}{\log (x)}-4\right)}","\frac{\log \left(\frac{x}{2}\right)}{\log \left(\frac{4 \left(-\log \left(\frac{x}{e^4}\right)-1\right)}{\log (x)}\right)}",1,"(-Log[8] + 3*Log[x])/(3*Log[-4 + 12/Log[x]])","A",1
999,1,19,19,0.1616083,"\int e^{e^4-e^{e^x}+x-x^2} \left(1-e^{e^x+x}-2 x\right) \, dx","Integrate[E^(E^4 - E^E^x + x - x^2)*(1 - E^(E^x + x) - 2*x),x]","e^{-x^2+x-e^{e^x}+e^4}","e^{-x^2+x-e^{e^x}+e^4}",1,"E^(E^4 - E^E^x + x - x^2)","A",1
1000,1,29,25,0.5358799,"\int \frac{8 e^4+4 e^2 x+\left(-8 e^4+e^2 \left(-4 x+4 x^2\right)\right) \log (x \log (2))+\left(e^4 (4-8 x)+e^2 \left(x-2 x^2+x^3\right)\right) \log ^2(x \log (2))}{4 e^2 x^2+e^2 \left(-4 x^2+4 x^3\right) \log (x \log (2))+e^2 \left(x^2-2 x^3+x^4\right) \log ^2(x \log (2))} \, dx","Integrate[(8*E^4 + 4*E^2*x + (-8*E^4 + E^2*(-4*x + 4*x^2))*Log[x*Log[2]] + (E^4*(4 - 8*x) + E^2*(x - 2*x^2 + x^3))*Log[x*Log[2]]^2)/(4*E^2*x^2 + E^2*(-4*x^2 + 4*x^3)*Log[x*Log[2]] + E^2*(x^2 - 2*x^3 + x^4)*Log[x*Log[2]]^2),x]","\log (x)+\frac{4 e^2 \log (x \log (2))}{x ((x-1) \log (x \log (2))+2)}","\log (x)+\frac{4 e^2}{x \left(x+\frac{2}{\log (x \log (2))}-1\right)}",1,"Log[x] + (4*E^2*Log[x*Log[2]])/(x*(2 + (-1 + x)*Log[x*Log[2]]))","A",1
1001,1,24,22,0.1430223,"\int \frac{2 x^2+4 x^3+\left(2 x+2 x^2+2 x^3\right) \log \left(1+x+x^2\right)+\left(e^3 \left(-1-x-x^2\right)+\left(-2 x-2 x^2-2 x^3\right) \log \left(1+x+x^2\right)\right) \log \left(e^3+2 x \log \left(1+x+x^2\right)\right)+\left(e^3 \left(-1-x-x^2\right)+\left(-2 x-2 x^2-2 x^3\right) \log \left(1+x+x^2\right)\right) \log \left(e^3+2 x \log \left(1+x+x^2\right)\right) \log \left(\log \left(e^3+2 x \log \left(1+x+x^2\right)\right)\right)}{\left(e^3 \left(x^2+x^3+x^4\right)+\left(2 x^3+2 x^4+2 x^5\right) \log \left(1+x+x^2\right)\right) \log \left(e^3+2 x \log \left(1+x+x^2\right)\right)} \, dx","Integrate[(2*x^2 + 4*x^3 + (2*x + 2*x^2 + 2*x^3)*Log[1 + x + x^2] + (E^3*(-1 - x - x^2) + (-2*x - 2*x^2 - 2*x^3)*Log[1 + x + x^2])*Log[E^3 + 2*x*Log[1 + x + x^2]] + (E^3*(-1 - x - x^2) + (-2*x - 2*x^2 - 2*x^3)*Log[1 + x + x^2])*Log[E^3 + 2*x*Log[1 + x + x^2]]*Log[Log[E^3 + 2*x*Log[1 + x + x^2]]])/((E^3*(x^2 + x^3 + x^4) + (2*x^3 + 2*x^4 + 2*x^5)*Log[1 + x + x^2])*Log[E^3 + 2*x*Log[1 + x + x^2]]),x]","\frac{\log \left(\log \left(2 x \log \left(x^2+x+1\right)+e^3\right)\right)}{x}+\frac{1}{x}","\frac{\log \left(\log \left(2 x \log \left(x^2+x+1\right)+e^3\right)\right)+1}{x}",1,"x^(-1) + Log[Log[E^3 + 2*x*Log[1 + x + x^2]]]/x","A",1
1002,1,28,26,0.4702827,"\int \frac{125-125 \log \left(\frac{x}{e}\right)+(-175+250 x) \log ^2\left(\frac{x}{e}\right)}{150 x^2+\left(420 x^2-300 x^3\right) \log \left(\frac{x}{e}\right)+\left(294 x^2-420 x^3+150 x^4\right) \log ^2\left(\frac{x}{e}\right)} \, dx","Integrate[(125 - 125*Log[x/E] + (-175 + 250*x)*Log[x/E]^2)/(150*x^2 + (420*x^2 - 300*x^3)*Log[x/E] + (294*x^2 - 420*x^3 + 150*x^4)*Log[x/E]^2),x]","\frac{25 (1-\log (x))}{6 x (-5 x+(5 x-7) \log (x)+2)}","\frac{5}{2 x \left(-3 x+\frac{3}{\log \left(\frac{x}{e}\right)}+\frac{21}{5}\right)}",1,"(25*(1 - Log[x]))/(6*x*(2 - 5*x + (-7 + 5*x)*Log[x]))","A",1
1003,1,27,28,0.1388957,"\int \frac{e^4 \left(-1+17 x-4 x^2-12 x^3+3 x^4\right)+e^4 \left(4 x-3 x^3\right) \log (x)+\left(e^4 \left(20-5 x-12 x^2+3 x^3\right)+e^4 \left(5-3 x^2\right) \log (x)\right) \log (-4+x-\log (x))+\left(e^4 \left(-4 x+x^2\right)-e^4 x \log (x)+\left(e^4 (-4+x)-e^4 \log (x)\right) \log (-4+x-\log (x))\right) \log (x+\log (-4+x-\log (x)))}{4 x-x^2+x \log (x)+(4-x+\log (x)) \log (-4+x-\log (x))} \, dx","Integrate[(E^4*(-1 + 17*x - 4*x^2 - 12*x^3 + 3*x^4) + E^4*(4*x - 3*x^3)*Log[x] + (E^4*(20 - 5*x - 12*x^2 + 3*x^3) + E^4*(5 - 3*x^2)*Log[x])*Log[-4 + x - Log[x]] + (E^4*(-4*x + x^2) - E^4*x*Log[x] + (E^4*(-4 + x) - E^4*Log[x])*Log[-4 + x - Log[x]])*Log[x + Log[-4 + x - Log[x]]])/(4*x - x^2 + x*Log[x] + (4 - x + Log[x])*Log[-4 + x - Log[x]]),x]","e^4 \left(-x^3+5 x-x \log (x+\log (x-\log (x)-4))\right)","e^4 \left(x \left(-x^2-\log (x+\log (x-\log (x)-4))+5\right)+9\right)",1,"E^4*(5*x - x^3 - x*Log[x + Log[-4 + x - Log[x]]])","A",1
1004,1,21,27,0.0184173,"\int \frac{-5+\left(-1+e^{4+x} x-8 x^2\right) \log ^2(x)}{x \log ^2(x)} \, dx","Integrate[(-5 + (-1 + E^(4 + x)*x - 8*x^2)*Log[x]^2)/(x*Log[x]^2),x]","-4 x^2+e^{x+4}-\log (x)+\frac{5}{\log (x)}","-4 x^2+e^{x+4}-\log (x)+\frac{5}{\log (x)}-\frac{\log (10)}{3}",1,"E^(4 + x) - 4*x^2 + 5/Log[x] - Log[x]","A",1
1005,1,148,32,0.1359821,"\int \frac{1}{3} \left(-3-64 e^{\frac{4}{3} \left(x+(i \pi +\log (2))^2\right)}+192 e^{x+(i \pi +\log (2))^2} \log (4)-192 e^{\frac{2}{3} \left(x+(i \pi +\log (2))^2\right)} \log ^2(4)+64 e^{\frac{1}{3} \left(x+(i \pi +\log (2))^2\right)} \log ^3(4)\right) \, dx","Integrate[(-3 - 64*E^((4*(x + (I*Pi + Log[2])^2))/3) + 192*E^(x + (I*Pi + Log[2])^2)*Log[4] - 192*E^((2*(x + (I*Pi + Log[2])^2))/3)*Log[4]^2 + 64*E^((x + (I*Pi + Log[2])^2)/3)*Log[4]^3)/3,x]","\frac{1}{3} \left(-48 \exp \left(\frac{4 x}{3}+\frac{4}{3} \left(-\pi ^2+\log ^2(2)+2 i \pi  \log (2)\right)\right)-288 \log ^2(4) \exp \left(\frac{2 x}{3}+\frac{2}{3} \left(-\pi ^2+\log ^2(2)+2 i \pi  \log (2)\right)\right)+192 \log ^3(4) \exp \left(\frac{x}{3}+\frac{2}{3} \left(-\pi ^2+\log ^2(2)+2 i \pi  \log (2)\right)+\frac{1}{3} \left(\pi ^2-\log ^2(2)-2 i \pi  \log (2)\right)\right)-3 x+192 \log (4) e^{x+(\log (2)+i \pi )^2}\right)","-x-16 \left(\log (4)-e^{\frac{1}{3} \left(x+(\log (2)+i \pi )^2\right)}\right)^4+4",1,"(-48*E^((4*x)/3 + (4*(-Pi^2 + (2*I)*Pi*Log[2] + Log[2]^2))/3) - 3*x + 192*E^(x + (I*Pi + Log[2])^2)*Log[4] - 288*E^((2*x)/3 + (2*(-Pi^2 + (2*I)*Pi*Log[2] + Log[2]^2))/3)*Log[4]^2 + 192*E^(x/3 + (Pi^2 - (2*I)*Pi*Log[2] - Log[2]^2)/3 + (2*(-Pi^2 + (2*I)*Pi*Log[2] + Log[2]^2))/3)*Log[4]^3)/3","B",1
1006,1,32,29,0.4412347,"\int \frac{4-6 e+e^4+x^2+e^x x^2}{-4 x-e^4 x+x^2+e^x x^2+x^3+e \left(6 x+x^2\right)} \, dx","Integrate[(4 - 6*E + E^4 + x^2 + E^x*x^2)/(-4*x - E^4*x + x^2 + E^x*x^2 + x^3 + E*(6*x + x^2)),x]","\log \left(-x^2-e^x x-e x-x+e^4-6 e+4\right)-\log (x)","\log \left(e^x-\frac{-x^2-x-e (x+6)+e^4+4}{x}\right)",1,"-Log[x] + Log[4 - 6*E + E^4 - x - E*x - E^x*x - x^2]","A",1
1007,1,21,31,0.0025518,"\int \frac{1-6 x^2+27 x^3+3 x \log (3)}{3 x} \, dx","Integrate[(1 - 6*x^2 + 27*x^3 + 3*x*Log[3])/(3*x),x]","3 x^3-x^2+x \log (3)+\frac{\log (x)}{3}","-\left(\left(x-3 \left(x^2+\frac{e^{5/3}}{x}\right)\right) x\right)+x \log (3)+\frac{\log (x)}{3}",1,"-x^2 + 3*x^3 + x*Log[3] + Log[x]/3","A",1
1008,1,27,27,0.1150563,"\int \frac{140-184 x-64 x^2+e^x \left(28-20 x-16 x^2\right)+e^{e^x} \left(8575-11270 x+2863 x^2+1172 x^3-304 x^4-64 x^5+e^{3 x} \left(-343 x+588 x^2-336 x^3+64 x^4\right)+e^{2 x} \left(343-4018 x+5530 x^2-2248 x^3-32 x^4+128 x^5\right)+e^x \left(3430-13769 x+13454 x^2-2831 x^3-1300 x^4+304 x^5+64 x^6\right)\right)}{-8575 x^2+11270 x^3-2863 x^4-1172 x^5+304 x^6+64 x^7+e^{2 x} \left(-343 x^2+588 x^3-336 x^4+64 x^5\right)+e^x \left(-3430 x^2+5194 x^3-2184 x^4-32 x^5+128 x^6\right)} \, dx","Integrate[(140 - 184*x - 64*x^2 + E^x*(28 - 20*x - 16*x^2) + E^E^x*(8575 - 11270*x + 2863*x^2 + 1172*x^3 - 304*x^4 - 64*x^5 + E^(3*x)*(-343*x + 588*x^2 - 336*x^3 + 64*x^4) + E^(2*x)*(343 - 4018*x + 5530*x^2 - 2248*x^3 - 32*x^4 + 128*x^5) + E^x*(3430 - 13769*x + 13454*x^2 - 2831*x^3 - 1300*x^4 + 304*x^5 + 64*x^6)))/(-8575*x^2 + 11270*x^3 - 2863*x^4 - 1172*x^5 + 304*x^6 + 64*x^7 + E^(2*x)*(-343*x^2 + 588*x^3 - 336*x^4 + 64*x^5) + E^x*(-3430*x^2 + 5194*x^3 - 2184*x^4 - 32*x^5 + 128*x^6)),x]","\frac{e^{e^x}+\frac{4}{(7-4 x)^2 \left(x+e^x+5\right)}}{x}","\frac{e^{e^x}+\frac{4}{(7-4 x)^2 \left(x+e^x+5\right)}}{x}",1,"(E^E^x + 4/((7 - 4*x)^2*(5 + E^x + x)))/x","A",1
1009,1,17,17,0.0146933,"\int \frac{4-5 x+4 \log (x)+x^2 \log ^2(x)}{x^2 \log ^2(x)} \, dx","Integrate[(4 - 5*x + 4*Log[x] + x^2*Log[x]^2)/(x^2*Log[x]^2),x]","x+\frac{5}{\log (x)}-\frac{4}{x \log (x)}","x+\frac{5}{\log (x)}-\frac{4}{x \log (x)}",1,"x + 5/Log[x] - 4/(x*Log[x])","A",1
1010,1,25,26,0.0756276,"\int \frac{2 x^3-6 x^4+e^{\frac{16-8 x-9 x^2}{x^2}} (-96+24 x)}{x^3} \, dx","Integrate[(2*x^3 - 6*x^4 + E^((16 - 8*x - 9*x^2)/x^2)*(-96 + 24*x))/x^3,x]","-3 x^2+3 e^{\frac{16}{x^2}-\frac{8}{x}-9}+2 x","3 \left(-x^2+x+e^{\left(1-\frac{4}{x}\right)^2-10}\right)-x",1,"3*E^(-9 + 16/x^2 - 8/x) + 2*x - 3*x^2","A",1
1011,1,56,30,0.2472801,"\int \frac{e^x \left(-625 x+625 x^2\right)+e^{\frac{e^{-x} \left(-4+e^x \left(2 x+x^2\right)\right)}{x}} \left(2500+2500 x+625 e^x x^2\right)}{e^{x+\frac{2 e^{-x} \left(-4+e^x \left(2 x+x^2\right)\right)}{x}} x^2+e^x \left(4 x^2+4 x^3+x^4\right)+e^x \left(-4 x^2-2 x^3\right) \log (5 x)+e^x x^2 \log ^2(5 x)+e^{\frac{e^{-x} \left(-4+e^x \left(2 x+x^2\right)\right)}{x}} \left(e^x \left(4 x^2+2 x^3\right)-2 e^x x^2 \log (5 x)\right)} \, dx","Integrate[(E^x*(-625*x + 625*x^2) + E^((-4 + E^x*(2*x + x^2))/(E^x*x))*(2500 + 2500*x + 625*E^x*x^2))/(E^(x + (2*(-4 + E^x*(2*x + x^2)))/(E^x*x))*x^2 + E^x*(4*x^2 + 4*x^3 + x^4) + E^x*(-4*x^2 - 2*x^3)*Log[5*x] + E^x*x^2*Log[5*x]^2 + E^((-4 + E^x*(2*x + x^2))/(E^x*x))*(E^x*(4*x^2 + 2*x^3) - 2*E^x*x^2*Log[5*x])),x]","-\frac{625 e^{\frac{4 e^{-x}}{x}}}{e^{\frac{4 e^{-x}}{x}} (x+2)+e^{x+2}-e^{\frac{4 e^{-x}}{x}} \log (5 x)}","\frac{625}{-x-e^{x-\frac{4 e^{-x}}{x}+2}+\log (5 x)-2}",1,"(-625*E^(4/(E^x*x)))/(E^(2 + x) + E^(4/(E^x*x))*(2 + x) - E^(4/(E^x*x))*Log[5*x])","A",1
1012,1,51,29,0.0447369,"\int \frac{1}{4} \left(8-10 x-18 x^2-24 x^3-5 x^4+e^{2 x^2} \left(10 x+3 x^2+20 x^3+4 x^4\right)\right) \, dx","Integrate[(8 - 10*x - 18*x^2 - 24*x^3 - 5*x^4 + E^(2*x^2)*(10*x + 3*x^2 + 20*x^3 + 4*x^4))/4,x]","\frac{1}{4} \left(-x^5-6 x^4-6 x^3+5 e^{2 x^2} x^2-5 x^2+e^{2 x^2} x^3+8 x\right)","x \left(\frac{1}{4} x (x+5) \left(-x^2+e^{2 x^2}-x-1\right)+2\right)",1,"(8*x - 5*x^2 + 5*E^(2*x^2)*x^2 - 6*x^3 + E^(2*x^2)*x^3 - 6*x^4 - x^5)/4","A",1
1013,1,19,30,0.0127636,"\int \frac{200 e^{\frac{50-30 x}{3 x}}+19 x^2}{3 x^2} \, dx","Integrate[(200*E^((50 - 30*x)/(3*x)) + 19*x^2)/(3*x^2),x]","\frac{19 x}{3}-4 e^{\frac{50}{3 x}-10}","x-4 \left(e^{\frac{5 \left(\frac{10}{3}-2 x\right)}{x}}-\frac{4}{3} \left(x-e^3\right)\right)",1,"-4*E^(-10 + 50/(3*x)) + (19*x)/3","A",1
1014,1,19,19,0.0855804,"\int \frac{e^{\frac{4 \left(e^4 x+x^2\right)}{e^3}} \left(4 e^4+8 x\right)+e^{\frac{3 \left(e^4 x+x^2\right)}{e^3}} \left(-4 e^3+e^4 (-12-12 x)-24 x-24 x^2\right)+e^3 \left(4+12 x+12 x^2+4 x^3\right)+e^{\frac{2 \left(e^4 x+x^2\right)}{e^3}} \left(24 x+48 x^2+24 x^3+e^3 (12+12 x)+e^4 \left(12+24 x+12 x^2\right)\right)+e^{\frac{e^4 x+x^2}{e^3}} \left(-8 x-24 x^2-24 x^3-8 x^4+e^3 \left(-12-24 x-12 x^2\right)+e^4 \left(-4-12 x-12 x^2-4 x^3\right)\right)}{e^3} \, dx","Integrate[(E^((4*(E^4*x + x^2))/E^3)*(4*E^4 + 8*x) + E^((3*(E^4*x + x^2))/E^3)*(-4*E^3 + E^4*(-12 - 12*x) - 24*x - 24*x^2) + E^3*(4 + 12*x + 12*x^2 + 4*x^3) + E^((2*(E^4*x + x^2))/E^3)*(24*x + 48*x^2 + 24*x^3 + E^3*(12 + 12*x) + E^4*(12 + 24*x + 12*x^2)) + E^((E^4*x + x^2)/E^3)*(-8*x - 24*x^2 - 24*x^3 - 8*x^4 + E^3*(-12 - 24*x - 12*x^2) + E^4*(-4 - 12*x - 12*x^2 - 4*x^3)))/E^3,x]","\left(-x+e^{\frac{x \left(x+e^4\right)}{e^3}}-1\right)^4","\left(x-e^{\frac{x \left(x+e^4\right)}{e^3}}+1\right)^4",1,"(-1 + E^((x*(E^4 + x))/E^3) - x)^4","A",1
1015,1,35,25,0.0519242,"\int \frac{4 x^2+e^4 (-8+2 x)+e^x \left(2 e^4-x^2+x^3\right)}{\left(4 x^3-e^x x^3-x^4+2 e^{\frac{e^4}{x^2}} x^4\right) \log ^2\left(\frac{e^{-\frac{e^4}{x^2}} \left(-4+e^x+x-2 e^{\frac{e^4}{x^2}} x\right)}{x}\right)} \, dx","Integrate[(4*x^2 + E^4*(-8 + 2*x) + E^x*(2*E^4 - x^2 + x^3))/((4*x^3 - E^x*x^3 - x^4 + 2*E^(E^4/x^2)*x^4)*Log[(-4 + E^x + x - 2*E^(E^4/x^2)*x)/(E^(E^4/x^2)*x)]^2),x]","\frac{1}{\log \left(\frac{e^{-\frac{e^4}{x^2}} \left(-2 e^{\frac{e^4}{x^2}} x+x+e^x-4\right)}{x}\right)}","\frac{1}{\log \left(\frac{e^{-\frac{e^4}{x^2}} \left(x+e^x-4\right)}{x}-2\right)}",1,"Log[(-4 + E^x + x - 2*E^(E^4/x^2)*x)/(E^(E^4/x^2)*x)]^(-1)","A",1
1016,1,86,34,0.3826105,"\int \frac{e^6 \left(450+360 x+72 x^3-18 x^4+e \left(-150 x+90 x^3-60 x^4\right)+e^2 \left(-50 x^3-50 x^4\right)\right)+e^{6+x} \left(450 x-450 x^2-108 x^3+126 x^4-18 x^5+e \left(540 x^3+120 x^4-60 x^5\right)+e^2 \left(-50 x^3-150 x^4-50 x^5\right)\right)+e^{6+2 x} \left(-360 x^3+162 x^4-18 x^5+e \left(150 x^3+240 x^4-60 x^5\right)+e^2 \left(-50 x^4-50 x^5\right)\right)}{25 x^3} \, dx","Integrate[(E^6*(450 + 360*x + 72*x^3 - 18*x^4 + E*(-150*x + 90*x^3 - 60*x^4) + E^2*(-50*x^3 - 50*x^4)) + E^(6 + x)*(450*x - 450*x^2 - 108*x^3 + 126*x^4 - 18*x^5 + E*(540*x^3 + 120*x^4 - 60*x^5) + E^2*(-50*x^3 - 150*x^4 - 50*x^5)) + E^(6 + 2*x)*(-360*x^3 + 162*x^4 - 18*x^5 + E*(150*x^3 + 240*x^4 - 60*x^5) + E^2*(-50*x^4 - 50*x^5)))/(25*x^3),x]","-\frac{e^6 \left((3+5 e)^2 \left(e^x+1\right)^2 x^4-2 (3+5 e) \left(e^x+1\right) \left(15 e^x+12-5 e\right) x^3+15 e^x \left(15 e^x+18-20 e\right) x^2+30 \left(15 e^x+12-5 e\right) x+225\right)}{25 x^2}","e^4-e^6 \left(\frac{3}{x}-e-\frac{3}{5}\right)^2 \left(\left(e^x+1\right) x+1\right)^2",1,"-1/25*(E^6*(225 + 30*(12 - 5*E + 15*E^x)*x + 15*E^x*(18 - 20*E + 15*E^x)*x^2 - 2*(3 + 5*E)*(1 + E^x)*(12 - 5*E + 15*E^x)*x^3 + (3 + 5*E)^2*(1 + E^x)^2*x^4))/x^2","B",1
1017,1,28,30,0.1703384,"\int \frac{-4 x+e^x x+\left(-12 x-4 x^2+e^x \left(3 x+3 x^2\right)\right) \log (x)+\left(-8 x+2 e^x x\right) \log (x) \log \left(\frac{3}{\left(16 x^3-8 e^x x^3+e^{2 x} x^3\right) \log (x)}\right)}{\left(-12 x^2+3 e^x x^2\right) \log (x)+\left(-24 x+6 e^x x\right) \log (x) \log \left(\frac{3}{\left(16 x^3-8 e^x x^3+e^{2 x} x^3\right) \log (x)}\right)+\left(-12+3 e^x\right) \log (x) \log ^2\left(\frac{3}{\left(16 x^3-8 e^x x^3+e^{2 x} x^3\right) \log (x)}\right)} \, dx","Integrate[(-4*x + E^x*x + (-12*x - 4*x^2 + E^x*(3*x + 3*x^2))*Log[x] + (-8*x + 2*E^x*x)*Log[x]*Log[3/((16*x^3 - 8*E^x*x^3 + E^(2*x)*x^3)*Log[x])])/((-12*x^2 + 3*E^x*x^2)*Log[x] + (-24*x + 6*E^x*x)*Log[x]*Log[3/((16*x^3 - 8*E^x*x^3 + E^(2*x)*x^3)*Log[x])] + (-12 + 3*E^x)*Log[x]*Log[3/((16*x^3 - 8*E^x*x^3 + E^(2*x)*x^3)*Log[x])]^2),x]","\frac{x^2}{3 \left(\log \left(\frac{3}{\left(e^x-4\right)^2 x^3 \log (x)}\right)+x\right)}","\frac{x^2}{3 \left(\log \left(\frac{3}{\left(4-e^x\right)^2 x^3 \log (x)}\right)+x\right)}",1,"x^2/(3*(x + Log[3/((-4 + E^x)^2*x^3*Log[x])]))","A",1
1018,1,25,21,0.0059492,"\int \frac{2+72 e^4+18 e^4 \log (3+x)}{e^4 (27+9 x)} \, dx","Integrate[(2 + 72*E^4 + 18*E^4*Log[3 + x])/(E^4*(27 + 9*x)),x]","\frac{\left(9 e^4 \log (x+3)+36 e^4+1\right)^2}{81 e^8}","\left(\log (x+3)+\frac{1}{9 e^4}+4\right)^2-e^2",1,"(1 + 36*E^4 + 9*E^4*Log[3 + x])^2/(81*E^8)","A",1
1019,1,48,30,0.0928721,"\int \frac{-2 x^2+e^6 \left(-x+x^2\right)+e^3 \left(-2 x^2+x^3\right)+\left(x+e^3 x+x^2-3 x^3+x^4\right) \log (x)+2 x^2 \log ^2(x)+\left(e^6+x+e^3 x+\left(-e^6-x-e^3 x+x^2\right) \log (x)-x^2 \log ^2(x)\right) \log \left(e^6+x+e^3 x+x^2 \log (x)\right)}{e^6 x^2+x^3+e^3 x^3+x^4 \log (x)} \, dx","Integrate[(-2*x^2 + E^6*(-x + x^2) + E^3*(-2*x^2 + x^3) + (x + E^3*x + x^2 - 3*x^3 + x^4)*Log[x] + 2*x^2*Log[x]^2 + (E^6 + x + E^3*x + (-E^6 - x - E^3*x + x^2)*Log[x] - x^2*Log[x]^2)*Log[E^6 + x + E^3*x + x^2*Log[x]])/(E^6*x^2 + x^3 + E^3*x^3 + x^4*Log[x]),x]","-\log \left(x^2 \log (x)+e^3 x+x+e^6\right)+\frac{\log (x) \log \left(x^2 \log (x)+e^3 x+x+e^6\right)}{x}+x-\log (x)","\frac{(\log (x)-x) \left(\log \left(x+x \left(x \log (x)+e^3\right)+e^6\right)-x\right)}{x}",1,"x - Log[x] - Log[E^6 + x + E^3*x + x^2*Log[x]] + (Log[x]*Log[E^6 + x + E^3*x + x^2*Log[x]])/x","A",1
1020,1,180,33,0.2804392,"\int \frac{e^{\frac{x}{1+x}} \left(x^2+\left(-5-5 x-6 x^2\right) \log (2)\right)+e^{\frac{2 x}{1+x}} \left(-2-4 x-2 x^2-243 x^4-486 x^5-243 x^6+\left(2+4 x+2 x^2-1620 x^3-2997 x^4-1134 x^5+243 x^6\right) \log (2)\right)}{\left(x^2+2 x^3+x^4\right) \log (2)+e^{\frac{x}{1+x}} \left(-4 x-8 x^2-4 x^3+162 x^5+324 x^6+162 x^7\right) \log (2)+e^{\frac{2 x}{1+x}} \left(4+8 x+4 x^2-324 x^4-648 x^5-324 x^6+6561 x^8+13122 x^9+6561 x^{10}\right) \log (2)} \, dx","Integrate[(E^(x/(1 + x))*(x^2 + (-5 - 5*x - 6*x^2)*Log[2]) + E^((2*x)/(1 + x))*(-2 - 4*x - 2*x^2 - 243*x^4 - 486*x^5 - 243*x^6 + (2 + 4*x + 2*x^2 - 1620*x^3 - 2997*x^4 - 1134*x^5 + 243*x^6)*Log[2]))/((x^2 + 2*x^3 + x^4)*Log[2] + E^(x/(1 + x))*(-4*x - 8*x^2 - 4*x^3 + 162*x^5 + 324*x^6 + 162*x^7)*Log[2] + E^((2*x)/(1 + x))*(4 + 8*x + 4*x^2 - 324*x^4 - 648*x^5 - 324*x^6 + 6561*x^8 + 13122*x^9 + 6561*x^10)*Log[2]),x]","\frac{\frac{3944312 e^{\frac{1}{x+1}} x \left(243 x^7 (\log (2)-1)-81 x^6 (7+\log (256))-81 x^5 (3+32 \log (2))-1215 x^4 \log (2)+x^3 (\log (4)-2)-x^2 (2+\log (256))-x (2+\log (256))-10 \log (2)\right)}{\left(243 x^6+567 x^5+243 x^4+2 x^2+2 x+2\right) \left(e \left(81 x^4-2\right)+e^{\frac{1}{x+1}} x\right)}+3944312 x-204768 x \log (128)+51192 x \log (16)-595423 x \log (4)-1524858 x \log (2)-9104 \log (128)-36434 \log (16)+72868 \log (4)+19785288 \log (2)}{3944312 \left(81 x^4-2\right) \log (2)}","\frac{-x+\frac{x}{\log (2)}+5}{81 x^4+e^{-\frac{x}{x+1}} x-2}",1,"(3944312*x + 19785288*Log[2] - 1524858*x*Log[2] + 72868*Log[4] - 595423*x*Log[4] - 36434*Log[16] + 51192*x*Log[16] - 9104*Log[128] - 204768*x*Log[128] + (3944312*E^(1 + x)^(-1)*x*(243*x^7*(-1 + Log[2]) - 10*Log[2] - 1215*x^4*Log[2] - 81*x^5*(3 + 32*Log[2]) + x^3*(-2 + Log[4]) - x*(2 + Log[256]) - x^2*(2 + Log[256]) - 81*x^6*(7 + Log[256])))/((2 + 2*x + 2*x^2 + 243*x^4 + 567*x^5 + 243*x^6)*(E^(1 + x)^(-1)*x + E*(-2 + 81*x^4))))/(3944312*(-2 + 81*x^4)*Log[2])","B",0
1021,1,11,11,0.0025035,"\int \frac{3}{800} e^{2 x/25} \, dx","Integrate[(3*E^((2*x)/25))/800,x]","\frac{3}{64} e^{2 x/25}","\frac{3}{64} e^{2 x/25}",1,"(3*E^((2*x)/25))/64","A",1
1022,1,39,18,5.0374896,"\int \frac{e^{2 x} \left(-4 x^3-2 x^4-2 x^5+2 x^6\right)+e^x \left(-188 x+282 x^2+282 x^3-470 x^5-376 x^6+94 x^7+94 x^8\right)}{-1+5 x-5 x^2-10 x^3+15 x^4+11 x^5-15 x^6-10 x^7+5 x^8+5 x^9+x^{10}} \, dx","Integrate[(E^(2*x)*(-4*x^3 - 2*x^4 - 2*x^5 + 2*x^6) + E^x*(-188*x + 282*x^2 + 282*x^3 - 470*x^5 - 376*x^6 + 94*x^7 + 94*x^8))/(-1 + 5*x - 5*x^2 - 10*x^3 + 15*x^4 + 11*x^5 - 15*x^6 - 10*x^7 + 5*x^8 + 5*x^9 + x^10),x]","\frac{e^x x^2 \left(94 x^4+188 x^3+\left(e^x-94\right) x^2-188 x+94\right)}{\left(x^2+x-1\right)^4}","\left(\frac{e^x}{\left(x-\frac{1}{x}+1\right)^2}+47\right)^2",1,"(E^x*x^2*(94 - 188*x + (-94 + E^x)*x^2 + 188*x^3 + 94*x^4))/(-1 + x + x^2)^4","B",1
1023,1,56,31,0.0218482,"\int \frac{e^2 \left(31250 x-25000 x^2+7500 x^3-950 x^4+40 x^5\right)}{31250-25000 x-2375 x^2+6700 x^3-1518 x^4-230 x^5+138 x^6-20 x^7+x^8} \, dx","Integrate[(E^2*(31250*x - 25000*x^2 + 7500*x^3 - 950*x^4 + 40*x^5))/(31250 - 25000*x - 2375*x^2 + 6700*x^3 - 1518*x^4 - 230*x^5 + 138*x^6 - 20*x^7 + x^8),x]","10 e^2 \left(\frac{1}{2} \log \left(-x^4+10 x^3-17 x^2-100 x+250\right)-\frac{1}{2} \log \left(-x^4+10 x^3-21 x^2-50 x+125\right)\right)","5 e^2 \log \left(\frac{x}{x-\frac{5-\frac{x^2}{(x-5)^2}}{x}}-2\right)",1,"10*E^2*(-1/2*Log[125 - 50*x - 21*x^2 + 10*x^3 - x^4] + Log[250 - 100*x - 17*x^2 + 10*x^3 - x^4]/2)","A",1
1024,1,32,25,0.003957,"\int \frac{-45000-2400 x^3+3528 x^4-2016 x^5+256 x^6}{625 x^3} \, dx","Integrate[(-45000 - 2400*x^3 + 3528*x^4 - 2016*x^5 + 256*x^6)/(625*x^3),x]","\frac{8}{625} \left(8 x^4-84 x^3+\frac{441 x^2}{2}+\frac{5625}{2 x^2}-300 x\right)","4 \left(\left(-\frac{4}{25} \left(x^2+x\right)+x+\frac{3}{x}\right)^2+3\right)+\log (2)",1,"(8*(5625/(2*x^2) - 300*x + (441*x^2)/2 - 84*x^3 + 8*x^4))/625","A",1
1025,1,41,25,0.0321971,"\int \left(20-8 e^{2 x}-8 x-8 \log \left(\frac{4}{3}\right)+e^x \left(-4+8 x+8 \log \left(\frac{4}{3}\right)\right)\right) \, dx","Integrate[20 - 8*E^(2*x) - 8*x - 8*Log[4/3] + E^x*(-4 + 8*x + 8*Log[4/3]),x]","-4 x^2+20 x-4 e^{2 x}-8 x \log \left(\frac{4}{3}\right)+e^x \left(8 x+4 \left(2 \log \left(\frac{4}{3}\right)-3\right)\right)","4 \left(e^x+x-\left(-x+e^x+2-\log \left(\frac{4}{3}\right)\right)^2\right)",1,"-4*E^(2*x) + 20*x - 4*x^2 - 8*x*Log[4/3] + E^x*(8*x + 4*(-3 + 2*Log[4/3]))","A",1
1026,1,22,26,0.2724427,"\int \frac{960 x^2+656 x^3+12 x^4+e^x \left(160 x^3-77 x^4-x^5\right)}{64+128 x+64 x^2+4 e^{2 x} x^2+e^x \left(32 x+32 x^2\right)} \, dx","Integrate[(960*x^2 + 656*x^3 + 12*x^4 + E^x*(160*x^3 - 77*x^4 - x^5))/(64 + 128*x + 64*x^2 + 4*E^(2*x)*x^2 + E^x*(32*x + 32*x^2)),x]","\frac{x^3 (x+80)}{4 \left(e^x x+4 x+4\right)}","\frac{4 x \left(\frac{x^2}{16}+5 x\right)}{e^x+\frac{4}{x}+4}",1,"(x^3*(80 + x))/(4*(4 + 4*x + E^x*x))","A",1
1027,1,34,36,0.1390458,"\int \frac{72 x^3+48 x^4+8 x^5+e^{2 x} \left(27-36 x-33 x^2-6 x^3\right)+e^{\frac{x-x^2}{3+x}} \left(-6 x^2+12 x^3+2 x^4\right)}{36 x^2+24 x^3+4 x^4} \, dx","Integrate[(72*x^3 + 48*x^4 + 8*x^5 + E^(2*x)*(27 - 36*x - 33*x^2 - 6*x^3) + E^((x - x^2)/(3 + x))*(-6*x^2 + 12*x^3 + 2*x^4))/(36*x^2 + 24*x^3 + 4*x^4),x]","x^2-\frac{1}{2} e^{-x-\frac{12}{x+3}+4}-\frac{3 e^{2 x}}{4 x}","x^2-\frac{1}{2} e^{\frac{x-x^2}{x+3}}-\frac{3 e^{2 x}}{4 x}-2",1,"-1/2*E^(4 - x - 12/(3 + x)) - (3*E^(2*x))/(4*x) + x^2","A",1
1028,1,28,28,0.3399526,"\int \frac{-2 e^{2 x} x^5+\left(-5 x^5+5 x^4 \log \left(4 e^{e^{2 x}+x}\right)\right) \log \left(-x+\log \left(4 e^{e^{2 x}+x}\right)\right)+\left(-x-x \log (x)+\log \left(4 e^{e^{2 x}+x}\right) (1+\log (x))\right) \log ^2\left(-x+\log \left(4 e^{e^{2 x}+x}\right)\right)}{\left(-x+\log \left(4 e^{e^{2 x}+x}\right)\right) \log ^2\left(-x+\log \left(4 e^{e^{2 x}+x}\right)\right)} \, dx","Integrate[(-2*E^(2*x)*x^5 + (-5*x^5 + 5*x^4*Log[4*E^(E^(2*x) + x)])*Log[-x + Log[4*E^(E^(2*x) + x)]] + (-x - x*Log[x] + Log[4*E^(E^(2*x) + x)]*(1 + Log[x]))*Log[-x + Log[4*E^(E^(2*x) + x)]]^2)/((-x + Log[4*E^(E^(2*x) + x)])*Log[-x + Log[4*E^(E^(2*x) + x)]]^2),x]","\frac{x^5}{\log \left(\log \left(4 e^{x+e^{2 x}}\right)-x\right)}+x \log (x)","x \left(\frac{x^4}{\log \left(\log \left(4 e^{x+e^{2 x}}\right)-x\right)}+\log (x)\right)",1,"x*Log[x] + x^5/Log[-x + Log[4*E^(E^(2*x) + x)]]","A",1
1029,1,24,23,0.0124405,"\int \frac{518 x+256 x^2-16 x^4-2 x^5}{67081+132608 x+112674 x^2+54880 x^3+16991 x^4+3424 x^5+438 x^6+32 x^7+x^8} \, dx","Integrate[(518*x + 256*x^2 - 16*x^4 - 2*x^5)/(67081 + 132608*x + 112674*x^2 + 54880*x^3 + 16991*x^4 + 3424*x^5 + 438*x^6 + 32*x^7 + x^8),x]","\frac{x^2}{x^4+16 x^3+91 x^2+256 x+259}","\frac{x}{\frac{(x+4)^4+3}{x}-5 x}+e^3",1,"x^2/(259 + 256*x + 91*x^2 + 16*x^3 + x^4)","A",1
1030,1,158,34,0.7301352,"\int \frac{10485760 x+18874368 x^2+14155776 x^3+5914624 x^4+1545728 x^5+267520 x^6+31232 x^7+2384 x^8+106 x^9+2 x^{10}+e^{16} \left(655360 x+1310720 x^2+1146880 x^3+573440 x^4+179200 x^5+35840 x^6+4480 x^7+320 x^8+10 x^9\right)+e^{12} \left(5242880 x+10158080 x^2+8519680 x^3+4034560 x^4+1177600 x^5+216320 x^6+24320 x^7+1520 x^8+40 x^9\right)+e^8 \left(15728640 x+29622272 x^2+23855104 x^3+10735616 x^4+2956288 x^5+512000 x^6+55168 x^7+3536 x^8+124 x^9+2 x^{10}\right)+e^4 \left(20971520 x+38535168 x^2+29884416 x^3+12881920 x^4+3414016 x^5+581120 x^6+64512 x^7+4624 x^8+200 x^9+4 x^{10}\right)}{2097152000+2516582400 x+1515192320 x^2+626524160 x^3+201646080 x^4+52879360 x^5+11408640 x^6+2030720 x^7+297885 x^8+35140 x^9+3110 x^{10}+180 x^{11}+5 x^{12}+e^{32} \left(8192000+16384000 x+14336000 x^2+7168000 x^3+2240000 x^4+448000 x^5+56000 x^6+4000 x^7+125 x^8\right)+e^{28} \left(131072000+245760000 x+200704000 x^2+93184000 x^3+26880000 x^4+4928000 x^5+560000 x^6+36000 x^7+1000 x^8\right)+e^{24} \left(917504000+1612185600 x+1231667200 x^2+534732800 x^3+144614400 x^4+25088000 x^5+2766400 x^6+184800 x^7+6700 x^8+100 x^9\right)+e^{20} \left(3670016000+6042419200 x+4333568000 x^2+1776230400 x^3+459110400 x^4+77952000 x^5+8780800 x^6+644000 x^7+28600 x^8+600 x^9\right)+e^{16} \left(9175040000+14155776000 x+9581035520 x^2+3757015040 x^3+951324160 x^4+164334080 x^5+19918400 x^6+1702880 x^7+100110 x^8+3740 x^9+70 x^{10}\right)+e^{12} \left(14680064000+21233664000 x+13668188160 x^2+5221580800 x^3+1335685120 x^4+244779520 x^5+33366400 x^6+3407840 x^7+251800 x^8+12080 x^9+280 x^{10}\right)+e^8 \left(14680064000+19922944000 x+12332564480 x^2+4699586560 x^3+1257328640 x^4+253757440 x^5+39852480 x^6+4837920 x^7+436140 x^8+27260 x^9+1060 x^{10}+20 x^{11}\right)+e^4 \left(8388608000+10695475200 x+6464471040 x^2+2527723520 x^3+731463680 x^4+166676480 x^5+30293760 x^6+4308960 x^7+462280 x^8+35320 x^9+1720 x^{10}+40 x^{11}\right)} \, dx","Integrate[(10485760*x + 18874368*x^2 + 14155776*x^3 + 5914624*x^4 + 1545728*x^5 + 267520*x^6 + 31232*x^7 + 2384*x^8 + 106*x^9 + 2*x^10 + E^16*(655360*x + 1310720*x^2 + 1146880*x^3 + 573440*x^4 + 179200*x^5 + 35840*x^6 + 4480*x^7 + 320*x^8 + 10*x^9) + E^12*(5242880*x + 10158080*x^2 + 8519680*x^3 + 4034560*x^4 + 1177600*x^5 + 216320*x^6 + 24320*x^7 + 1520*x^8 + 40*x^9) + E^8*(15728640*x + 29622272*x^2 + 23855104*x^3 + 10735616*x^4 + 2956288*x^5 + 512000*x^6 + 55168*x^7 + 3536*x^8 + 124*x^9 + 2*x^10) + E^4*(20971520*x + 38535168*x^2 + 29884416*x^3 + 12881920*x^4 + 3414016*x^5 + 581120*x^6 + 64512*x^7 + 4624*x^8 + 200*x^9 + 4*x^10))/(2097152000 + 2516582400*x + 1515192320*x^2 + 626524160*x^3 + 201646080*x^4 + 52879360*x^5 + 11408640*x^6 + 2030720*x^7 + 297885*x^8 + 35140*x^9 + 3110*x^10 + 180*x^11 + 5*x^12 + E^32*(8192000 + 16384000*x + 14336000*x^2 + 7168000*x^3 + 2240000*x^4 + 448000*x^5 + 56000*x^6 + 4000*x^7 + 125*x^8) + E^28*(131072000 + 245760000*x + 200704000*x^2 + 93184000*x^3 + 26880000*x^4 + 4928000*x^5 + 560000*x^6 + 36000*x^7 + 1000*x^8) + E^24*(917504000 + 1612185600*x + 1231667200*x^2 + 534732800*x^3 + 144614400*x^4 + 25088000*x^5 + 2766400*x^6 + 184800*x^7 + 6700*x^8 + 100*x^9) + E^20*(3670016000 + 6042419200*x + 4333568000*x^2 + 1776230400*x^3 + 459110400*x^4 + 77952000*x^5 + 8780800*x^6 + 644000*x^7 + 28600*x^8 + 600*x^9) + E^16*(9175040000 + 14155776000*x + 9581035520*x^2 + 3757015040*x^3 + 951324160*x^4 + 164334080*x^5 + 19918400*x^6 + 1702880*x^7 + 100110*x^8 + 3740*x^9 + 70*x^10) + E^12*(14680064000 + 21233664000*x + 13668188160*x^2 + 5221580800*x^3 + 1335685120*x^4 + 244779520*x^5 + 33366400*x^6 + 3407840*x^7 + 251800*x^8 + 12080*x^9 + 280*x^10) + E^8*(14680064000 + 19922944000*x + 12332564480*x^2 + 4699586560*x^3 + 1257328640*x^4 + 253757440*x^5 + 39852480*x^6 + 4837920*x^7 + 436140*x^8 + 27260*x^9 + 1060*x^10 + 20*x^11) + E^4*(8388608000 + 10695475200*x + 6464471040*x^2 + 2527723520*x^3 + 731463680*x^4 + 166676480*x^5 + 30293760*x^6 + 4308960*x^7 + 462280*x^8 + 35320*x^9 + 1720*x^10 + 40*x^11)),x]","-\frac{\left(x+e^4 (x+4)+8\right)^2 \left(2 x^3+21 x^2+10 e^4 \left(x^2+12 x+32\right)+112 x+5 e^8 (x+4)^2+320\right)}{5 \left(x^6+18 x^5+149 x^4+832 x^3+3712 x^2+2 e^8 (x+4)^2 \left(x^3+23 x^2+256 x+960\right)+4 e^4 \left(x^5+25 x^4+284 x^3+1888 x^2+6912 x+10240\right)+12288 x+5 e^{16} (x+4)^4+20 e^{12} (x+4)^3 (x+8)+20480\right)}","\frac{1}{\frac{\left(5 \left(\frac{\frac{4 x}{x+4}+x}{x}+e^4\right)^2+x\right)^2}{x^2}+4}",1,"-1/5*((8 + x + E^4*(4 + x))^2*(320 + 112*x + 21*x^2 + 2*x^3 + 5*E^8*(4 + x)^2 + 10*E^4*(32 + 12*x + x^2)))/(20480 + 12288*x + 3712*x^2 + 832*x^3 + 149*x^4 + 18*x^5 + x^6 + 5*E^16*(4 + x)^4 + 20*E^12*(4 + x)^3*(8 + x) + 2*E^8*(4 + x)^2*(960 + 256*x + 23*x^2 + x^3) + 4*E^4*(10240 + 6912*x + 1888*x^2 + 284*x^3 + 25*x^4 + x^5))","B",1
1031,1,15,15,0.2240854,"\int \frac{-6-12 x-11 x^2+2 x^3+2 x^2 \log (x)}{25 x-20 x^2+4 x^3+\left(-10 x+4 x^2\right) \log (x)+x \log ^2(x)} \, dx","Integrate[(-6 - 12*x - 11*x^2 + 2*x^3 + 2*x^2*Log[x])/(25*x - 20*x^2 + 4*x^3 + (-10*x + 4*x^2)*Log[x] + x*Log[x]^2),x]","\frac{x^2+6}{2 x+\log (x)-5}","\frac{x^2+6}{2 x+\log (x)-5}",1,"(6 + x^2)/(-5 + 2*x + Log[x])","A",1
1032,1,56,28,0.5382978,"\int \frac{e^x \left(-150-265 x-136 x^2-16 x^3\right)+e^{\frac{-8 x+4 e^4 x^2}{5+4 x}} \left(-175+16 x^2+e^4 \left(200 x+120 x^2+16 x^3\right)\right)}{25+40 x+16 x^2} \, dx","Integrate[(E^x*(-150 - 265*x - 136*x^2 - 16*x^3) + E^((-8*x + 4*E^4*x^2)/(5 + 4*x))*(-175 + 16*x^2 + E^4*(200*x + 120*x^2 + 16*x^3)))/(25 + 40*x + 16*x^2),x]","e^{-2-\frac{5 e^4}{2}} \left(e^{\frac{e^4 \left(8 x^2+20 x+25\right)+20}{8 x+10}}-e^{x+\frac{5 e^4}{2}+2}\right) (x+5)","\left(e^{\frac{x \left(e^4 x-2\right)}{x+\frac{5}{4}}}-e^x\right) (x+5)",1,"E^(-2 - (5*E^4)/2)*(-E^(2 + (5*E^4)/2 + x) + E^((20 + E^4*(25 + 20*x + 8*x^2))/(10 + 8*x)))*(5 + x)","A",1
1033,1,11,12,0.0021355,"\int \left(4-8 e^{2 x}\right) \, dx","Integrate[4 - 8*E^(2*x),x]","4 x-4 e^{2 x}","4 \left(x-e^{2 x}+2\right)",1,"-4*E^(2*x) + 4*x","A",1
1034,1,18,18,0.0564991,"\int \frac{12 e^x+15 e^{6 x}+\left(3 e^{6 x}+e^x (48+12 x)\right) \log \left(\frac{1}{4} \left(16+e^{5 x}+4 x\right)\right)}{16+e^{5 x}+4 x} \, dx","Integrate[(12*E^x + 15*E^(6*x) + (3*E^(6*x) + E^x*(48 + 12*x))*Log[(16 + E^(5*x) + 4*x)/4])/(16 + E^(5*x) + 4*x),x]","3 e^x \log \left(x+\frac{e^{5 x}}{4}+4\right)","3 e^x \log \left(x+\frac{e^{5 x}}{4}+4\right)",1,"3*E^x*Log[4 + E^(5*x)/4 + x]","A",1
1035,1,31,25,0.0898615,"\int \frac{-4 x \log (5)+x \log (5) \log (x)-4 \log ^2(x)+\log ^3(x)+\left(x \log (5)-8 \log (x)+7 \log ^2(x)-\log ^3(x)\right) \log \left(4 x+e^5 x\right)}{\left(-4 x^2 \log (5)+x^2 \log (5) \log (x)-4 x \log ^2(x)+x \log ^3(x)\right) \log \left(4 x+e^5 x\right)} \, dx","Integrate[(-4*x*Log[5] + x*Log[5]*Log[x] - 4*Log[x]^2 + Log[x]^3 + (x*Log[5] - 8*Log[x] + 7*Log[x]^2 - Log[x]^3)*Log[4*x + E^5*x])/((-4*x^2*Log[5] + x^2*Log[5]*Log[x] - 4*x*Log[x]^2 + x*Log[x]^3)*Log[4*x + E^5*x]),x]","\log \left(\log ^2(x)+x \log (5)\right)-\log (x)+\log (4-\log (x))+\log \left(\log \left(\left(4+e^5\right) x\right)\right)","\log \left((\log (x)-4) \left(\frac{\log ^2(x)}{x}+\log (5)\right) \log \left(\left(4+e^5\right) x\right)\right)",1,"-Log[x] + Log[4 - Log[x]] + Log[x*Log[5] + Log[x]^2] + Log[Log[(4 + E^5)*x]]","A",1
1036,1,41,36,0.1086575,"\int \frac{e^x \left(54+9 x-9 x^2\right)+e^{3 x} \left(-108 x^2-36 x^3+33 x^4+6 x^5-3 x^6\right)+e^{2 x} \left(108 x^2+36 x^3-33 x^4-6 x^5+3 x^6\right)+e^x \left(-54-72 x+18 x^2+9 x^3\right) \log (x)}{e^{4 x} \left(36 x^2+12 x^3-11 x^4-2 x^5+x^6\right)+e^{3 x} \left(-72 x^3-24 x^4+22 x^5+4 x^6-2 x^7\right)+e^{2 x} \left(36 x^4+12 x^5-11 x^6-2 x^7+x^8\right)+\left(e^{2 x} \left(-36 x-6 x^2+6 x^3\right)+e^x \left(36 x^2+6 x^3-6 x^4\right)\right) \log (x)+9 \log ^2(x)} \, dx","Integrate[(E^x*(54 + 9*x - 9*x^2) + E^(3*x)*(-108*x^2 - 36*x^3 + 33*x^4 + 6*x^5 - 3*x^6) + E^(2*x)*(108*x^2 + 36*x^3 - 33*x^4 - 6*x^5 + 3*x^6) + E^x*(-54 - 72*x + 18*x^2 + 9*x^3)*Log[x])/(E^(4*x)*(36*x^2 + 12*x^3 - 11*x^4 - 2*x^5 + x^6) + E^(3*x)*(-72*x^3 - 24*x^4 + 22*x^5 + 4*x^6 - 2*x^7) + E^(2*x)*(36*x^4 + 12*x^5 - 11*x^6 - 2*x^7 + x^8) + (E^(2*x)*(-36*x - 6*x^2 + 6*x^3) + E^x*(36*x^2 + 6*x^3 - 6*x^4))*Log[x] + 9*Log[x]^2),x]","\frac{3 e^x x \left(x^2-x-6\right)}{e^x \left(e^x-x\right) x \left(x^2-x-6\right)+3 \log (x)}","\frac{3}{-\frac{e^{-x} \log (x)}{(x+2) \left(x-\frac{x^2}{3}\right)}-x+e^x}",1,"(3*E^x*x*(-6 - x + x^2))/(E^x*(E^x - x)*x*(-6 - x + x^2) + 3*Log[x])","A",1
1037,1,20,22,0.0452022,"\int \left(-1+e^{\frac{1}{2} \left(-3-2 x+3 x^2\right)} (-1+3 x)\right) \, dx","Integrate[-1 + E^((-3 - 2*x + 3*x^2)/2)*(-1 + 3*x),x]","e^{\frac{3 x^2}{2}-x-\frac{3}{2}}-x","e^{x^2+\frac{1}{2} \left(x^2-3\right)-x}-x",1,"E^(-3/2 - x + (3*x^2)/2) - x","A",1
1038,1,34,32,0.1234625,"\int \frac{\exp \left(\frac{-2+x^3+x \log (x)-2 x^2 \log (6+5 x)+x \log ^2(6+5 x)}{x^2}\right) \left(24+26 x+5 x^2-4 x^3+5 x^4+\left(-6 x-5 x^2\right) \log (x)+10 x^2 \log (6+5 x)+\left(-6 x-5 x^2\right) \log ^2(6+5 x)\right)}{6 x^3+5 x^4} \, dx","Integrate[(E^((-2 + x^3 + x*Log[x] - 2*x^2*Log[6 + 5*x] + x*Log[6 + 5*x]^2)/x^2)*(24 + 26*x + 5*x^2 - 4*x^3 + 5*x^4 + (-6*x - 5*x^2)*Log[x] + 10*x^2*Log[6 + 5*x] + (-6*x - 5*x^2)*Log[6 + 5*x]^2))/(6*x^3 + 5*x^4),x]","\frac{x^{\frac{1}{x}} e^{\frac{x^3+x \log ^2(5 x+6)-2}{x^2}}}{(5 x+6)^2}","\exp \left(\frac{-\frac{2}{x}+(\log (3 (2 x+2)-x)-x)^2+\log (x)}{x}\right)",1,"(E^((-2 + x^3 + x*Log[6 + 5*x]^2)/x^2)*x^x^(-1))/(6 + 5*x)^2","A",1
1039,1,40,26,0.394775,"\int \frac{-15-5 e-8 x+e^2 (3+e+2 x)+e^x \left(-5-5 x+e^2 (1+x)\right)}{-15 x-5 e x-4 x^2+e^x \left(-5 x+e^2 x\right)+e^2 \left(3 x+e x+x^2\right)} \, dx","Integrate[(-15 - 5*E - 8*x + E^2*(3 + E + 2*x) + E^x*(-5 - 5*x + E^2*(1 + x)))/(-15*x - 5*E*x - 4*x^2 + E^x*(-5*x + E^2*x) + E^2*(3*x + E*x + x^2)),x]","\log (x)+\log \left(-e^2 x+4 x+5 e^x-e^{x+2}-e^3-3 e^2+5 e+15\right)","\log (x)+\log \left(-\frac{x}{5-e^2}+x+e^x+e+3\right)+e^3",1,"Log[x] + Log[15 + 5*E - 3*E^2 - E^3 + 5*E^x - E^(2 + x) + 4*x - E^2*x]","A",1
1040,0,0,29,79.9956888,"\int \frac{\exp \left(\frac{12+e^{e^{2 x}-2 e^x \log \left(\frac{13}{4}\right)+\log ^2\left(\frac{13}{4}\right)} (3-3 x)-11 x}{-4+e^{e^{2 x}-2 e^x \log \left(\frac{13}{4}\right)+\log ^2\left(\frac{13}{4}\right)} (-1+x)+4 x}\right) \left(-4+e^{e^{2 x}-2 e^x \log \left(\frac{13}{4}\right)+\log ^2\left(\frac{13}{4}\right)} \left(-1+e^{2 x} \left(2 x-2 x^2\right)+e^x \left(-2 x+2 x^2\right) \log \left(\frac{13}{4}\right)\right)\right)}{16-32 x+16 x^2+e^{2 e^{2 x}-4 e^x \log \left(\frac{13}{4}\right)+2 \log ^2\left(\frac{13}{4}\right)} \left(1-2 x+x^2\right)+e^{e^{2 x}-2 e^x \log \left(\frac{13}{4}\right)+\log ^2\left(\frac{13}{4}\right)} \left(8-16 x+8 x^2\right)} \, dx","Integrate[(E^((12 + E^(E^(2*x) - 2*E^x*Log[13/4] + Log[13/4]^2)*(3 - 3*x) - 11*x)/(-4 + E^(E^(2*x) - 2*E^x*Log[13/4] + Log[13/4]^2)*(-1 + x) + 4*x))*(-4 + E^(E^(2*x) - 2*E^x*Log[13/4] + Log[13/4]^2)*(-1 + E^(2*x)*(2*x - 2*x^2) + E^x*(-2*x + 2*x^2)*Log[13/4])))/(16 - 32*x + 16*x^2 + E^(2*E^(2*x) - 4*E^x*Log[13/4] + 2*Log[13/4]^2)*(1 - 2*x + x^2) + E^(E^(2*x) - 2*E^x*Log[13/4] + Log[13/4]^2)*(8 - 16*x + 8*x^2)),x]","\int \frac{\exp \left(\frac{12+e^{e^{2 x}-2 e^x \log \left(\frac{13}{4}\right)+\log ^2\left(\frac{13}{4}\right)} (3-3 x)-11 x}{-4+e^{e^{2 x}-2 e^x \log \left(\frac{13}{4}\right)+\log ^2\left(\frac{13}{4}\right)} (-1+x)+4 x}\right) \left(-4+e^{e^{2 x}-2 e^x \log \left(\frac{13}{4}\right)+\log ^2\left(\frac{13}{4}\right)} \left(-1+e^{2 x} \left(2 x-2 x^2\right)+e^x \left(-2 x+2 x^2\right) \log \left(\frac{13}{4}\right)\right)\right)}{16-32 x+16 x^2+e^{2 e^{2 x}-4 e^x \log \left(\frac{13}{4}\right)+2 \log ^2\left(\frac{13}{4}\right)} \left(1-2 x+x^2\right)+e^{e^{2 x}-2 e^x \log \left(\frac{13}{4}\right)+\log ^2\left(\frac{13}{4}\right)} \left(8-16 x+8 x^2\right)} \, dx","e^{\frac{x}{(x-1) \left(e^{\left(e^x-\log \left(\frac{13}{4}\right)\right)^2}+4\right)}-3}",1,"Integrate[(E^((12 + E^(E^(2*x) - 2*E^x*Log[13/4] + Log[13/4]^2)*(3 - 3*x) - 11*x)/(-4 + E^(E^(2*x) - 2*E^x*Log[13/4] + Log[13/4]^2)*(-1 + x) + 4*x))*(-4 + E^(E^(2*x) - 2*E^x*Log[13/4] + Log[13/4]^2)*(-1 + E^(2*x)*(2*x - 2*x^2) + E^x*(-2*x + 2*x^2)*Log[13/4])))/(16 - 32*x + 16*x^2 + E^(2*E^(2*x) - 4*E^x*Log[13/4] + 2*Log[13/4]^2)*(1 - 2*x + x^2) + E^(E^(2*x) - 2*E^x*Log[13/4] + Log[13/4]^2)*(8 - 16*x + 8*x^2)), x]","F",-1
1041,1,36,26,0.089233,"\int \frac{24+224 x+4 x^2+\sqrt[4]{e} (-16+4 x)+\left(-16 x+44 \sqrt[4]{e} x+48 x^2\right) \log (x)+\left(-2 x+2 \sqrt{e} x+4 \sqrt[4]{e} x^2+2 x^3\right) \log ^2(x)}{144 x+\left(24 \sqrt[4]{e} x+24 x^2\right) \log (x)+\left(\sqrt{e} x+2 \sqrt[4]{e} x^2+x^3\right) \log ^2(x)} \, dx","Integrate[(24 + 224*x + 4*x^2 + E^(1/4)*(-16 + 4*x) + (-16*x + 44*E^(1/4)*x + 48*x^2)*Log[x] + (-2*x + 2*Sqrt[E]*x + 4*E^(1/4)*x^2 + 2*x^3)*Log[x]^2)/(144*x + (24*E^(1/4)*x + 24*x^2)*Log[x] + (Sqrt[E]*x + 2*E^(1/4)*x^2 + x^3)*Log[x]^2),x]","\frac{2 \left(\left(x^2+\sqrt[4]{e} x+1\right) \log (x)+10 x+8\right)}{\left(x+\sqrt[4]{e}\right) \log (x)+12}","2 \left(x+\frac{-2 x+\log (x)+8}{\left(x+\sqrt[4]{e}\right) \log (x)+12}\right)",1,"(2*(8 + 10*x + (1 + E^(1/4)*x + x^2)*Log[x]))/(12 + (E^(1/4) + x)*Log[x])","A",1
1042,1,18,28,0.0159645,"\int \frac{50 x^5+e^{6-4 x} (3+4 x)}{25 x^4} \, dx","Integrate[(50*x^5 + E^(6 - 4*x)*(3 + 4*x))/(25*x^4),x]","x^2-\frac{e^{6-4 x}}{25 x^3}","x \left(x-\frac{e^{6-4 x}}{25 x^4}\right)-\log \left(\frac{4}{\log (4)}\right)",1,"-1/25*E^(6 - 4*x)/x^3 + x^2","A",1
1043,1,44,26,0.157107,"\int \exp \left(x+e^{90+10 e^2} x+2 e^{45+5 e^2} x \log \left(e^{-x} x\right)+x \log ^2\left(e^{-x} x\right)\right) \left(1+e^{90+10 e^2}+e^{45+5 e^2} (2-2 x)+\left(2+2 e^{45+5 e^2}-2 x\right) \log \left(e^{-x} x\right)+\log ^2\left(e^{-x} x\right)\right) \, dx","Integrate[E^(x + E^(90 + 10*E^2)*x + 2*E^(45 + 5*E^2)*x*Log[x/E^x] + x*Log[x/E^x]^2)*(1 + E^(90 + 10*E^2) + E^(45 + 5*E^2)*(2 - 2*x) + (2 + 2*E^(45 + 5*E^2) - 2*x)*Log[x/E^x] + Log[x/E^x]^2),x]","\exp \left(x \left(\log ^2\left(e^{-x} x\right)+2 e^{5 \left(9+e^2\right)} \log \left(e^{-x} x\right)+e^{10 \left(9+e^2\right)}+1\right)\right)","e^{x+x \left(\log \left(e^{-x} x\right)+e^{5 \left(9+e^2\right)}\right)^2}",1,"E^(x*(1 + E^(10*(9 + E^2)) + 2*E^(5*(9 + E^2))*Log[x/E^x] + Log[x/E^x]^2))","A",1
1044,1,28,21,0.0080306,"\int \frac{2+2044 x-1920 x^2-48 x^3-32 x^4-x \log (x)}{x} \, dx","Integrate[(2 + 2044*x - 1920*x^2 - 48*x^3 - 32*x^4 - x*Log[x])/x,x]","-8 x^4-16 x^3-960 x^2+2045 x-x \log (x)+2 \log (x)","(2-x) (4 x (2 x (x+4)+256)+\log (x)+3)",1,"2045*x - 960*x^2 - 16*x^3 - 8*x^4 + 2*Log[x] - x*Log[x]","A",1
1045,1,20,25,0.0235815,"\int \frac{-x-x^2+e^{25 x^2} \left(-5+250 x^2\right)}{x^2} \, dx","Integrate[(-x - x^2 + E^(25*x^2)*(-5 + 250*x^2))/x^2,x]","\frac{5 e^{25 x^2}}{x}-x-\log (x)","\frac{5 e^{25 x^2}}{x}-x-\log (x)+1-\log (2)",1,"(5*E^(25*x^2))/x - x - Log[x]","A",1
1046,1,10,24,0.000071,"\int \frac{-1-e}{e} \, dx","Integrate[(-1 - E)/E,x]","-\frac{x}{e}-x","-x-\frac{x+\left(4+\frac{5 e^3}{3}\right)^2-2}{e}+1",1,"-x - x/E","A",1
1047,1,27,31,0.3660478,"\int \frac{8 e^{6+2 e^3} x^4-48 e^{6+2 e^3} x^3 \log (x)+8 e^{6+2 e^3} x^4 \log (x) \log \left(\frac{3}{\log (x)}\right)}{-27 \log (x)+27 x \log (x) \log \left(\frac{3}{\log (x)}\right)-9 x^2 \log (x) \log ^2\left(\frac{3}{\log (x)}\right)+x^3 \log (x) \log ^3\left(\frac{3}{\log (x)}\right)} \, dx","Integrate[(8*E^(6 + 2*E^3)*x^4 - 48*E^(6 + 2*E^3)*x^3*Log[x] + 8*E^(6 + 2*E^3)*x^4*Log[x]*Log[3/Log[x]])/(-27*Log[x] + 27*x*Log[x]*Log[3/Log[x]] - 9*x^2*Log[x]*Log[3/Log[x]]^2 + x^3*Log[x]*Log[3/Log[x]]^3),x]","\frac{4 e^{6+2 e^3} x^4}{\left(x \log \left(\frac{3}{\log (x)}\right)-3\right)^2}","\frac{4 e^{6+2 e^3} x^2}{\left(\log \left(\frac{3}{\log (x)}\right)-\frac{3}{x}\right)^2}+4",1,"(4*E^(6 + 2*E^3)*x^4)/(-3 + x*Log[3/Log[x]])^2","A",1
1048,1,3,3,0.0000551,"\int e \, dx","Integrate[E,x]","e x","e x",1,"E*x","A",1
1049,1,26,26,0.1936511,"\int \frac{\left(\frac{x+4 \log \left(\frac{(-4+4 x) \log (4)}{5 x}\right)}{\log \left(\frac{(-4+4 x) \log (4)}{5 x}\right)}\right)^{\frac{1}{\log \left(x^2\right)}} \left(-x \log \left(x^2\right)+\left(-x+x^2\right) \log \left(x^2\right) \log \left(\frac{(-4+4 x) \log (4)}{5 x}\right)+\left(\left(2 x-2 x^2\right) \log \left(\frac{(-4+4 x) \log (4)}{5 x}\right)+(8-8 x) \log ^2\left(\frac{(-4+4 x) \log (4)}{5 x}\right)\right) \log \left(\frac{x+4 \log \left(\frac{(-4+4 x) \log (4)}{5 x}\right)}{\log \left(\frac{(-4+4 x) \log (4)}{5 x}\right)}\right)\right)}{\left(-x^2+x^3\right) \log ^2\left(x^2\right) \log \left(\frac{(-4+4 x) \log (4)}{5 x}\right)+\left(-4 x+4 x^2\right) \log ^2\left(x^2\right) \log ^2\left(\frac{(-4+4 x) \log (4)}{5 x}\right)} \, dx","Integrate[(((x + 4*Log[((-4 + 4*x)*Log[4])/(5*x)])/Log[((-4 + 4*x)*Log[4])/(5*x)])^Log[x^2]^(-1)*(-(x*Log[x^2]) + (-x + x^2)*Log[x^2]*Log[((-4 + 4*x)*Log[4])/(5*x)] + ((2*x - 2*x^2)*Log[((-4 + 4*x)*Log[4])/(5*x)] + (8 - 8*x)*Log[((-4 + 4*x)*Log[4])/(5*x)]^2)*Log[(x + 4*Log[((-4 + 4*x)*Log[4])/(5*x)])/Log[((-4 + 4*x)*Log[4])/(5*x)]]))/((-x^2 + x^3)*Log[x^2]^2*Log[((-4 + 4*x)*Log[4])/(5*x)] + (-4*x + 4*x^2)*Log[x^2]^2*Log[((-4 + 4*x)*Log[4])/(5*x)]^2),x]","\left(\frac{x}{\log \left(\frac{4 (x-1) \log (4)}{5 x}\right)}+4\right)^{\frac{1}{\log \left(x^2\right)}}","\left(\frac{x}{\log \left(\frac{4 (x-1) \log (4)}{5 x}\right)}+4\right)^{\frac{1}{\log \left(x^2\right)}}",1,"(4 + x/Log[(4*(-1 + x)*Log[4])/(5*x)])^Log[x^2]^(-1)","A",1
1050,1,81,33,2.20422,"\int \frac{e^{-\frac{-2 e+x}{x}} \left(-32 e x^2+32 x^3+e^{2-2 x} \left(-32 e-32 x^2\right)+e^{\frac{-2 e+x}{2 x}} \left(32 e x-32 x^2\right)+e^{1-x} \left(-64 e x+32 x^2-32 x^3+e^{\frac{-2 e+x}{2 x}} \left(32 e+32 x^2\right)\right)\right)}{x^2} \, dx","Integrate[(-32*E*x^2 + 32*x^3 + E^(2 - 2*x)*(-32*E - 32*x^2) + E^((-2*E + x)/(2*x))*(32*E*x - 32*x^2) + E^(1 - x)*(-64*E*x + 32*x^2 - 32*x^3 + E^((-2*E + x)/(2*x))*(32*E + 32*x^2)))/(E^((-2*E + x)/x)*x^2),x]","-32 \left(-\frac{1}{2} e^{\frac{2 e}{x}-1} x^2-\frac{1}{2} e^{-2 x+\frac{2 e}{x}+1}+e^{-x+\frac{e}{x}+\frac{1}{2}}\right)-32 e^{e/x} \left(\frac{1}{\sqrt{e}}-e^{\frac{e}{x}-x}\right) x","\left(4 e^{-\frac{\frac{x}{2}-e}{x}} \left(x+e^{1-x}\right)-4\right)^2+2",1,"-32*E^(E/x)*(1/Sqrt[E] - E^(E/x - x))*x - 32*(-1/2*E^(1 + (2*E)/x - 2*x) + E^(1/2 + E/x - x) - (E^(-1 + (2*E)/x)*x^2)/2)","B",1
1051,1,28,24,0.0522372,"\int \frac{e^x (-4-8 x)-12 x+8 x^2+3 x^3+\left(-4 x-4 e^x x\right) \log (x)}{4 x} \, dx","Integrate[(E^x*(-4 - 8*x) - 12*x + 8*x^2 + 3*x^3 + (-4*x - 4*E^x*x)*Log[x])/(4*x),x]","\frac{x^3}{4}+x^2-2 x-2 e^x-\left(x+e^x\right) \log (x)","x \left(\frac{x^2}{4}+x\right)-\left(x+e^x\right) (\log (x)+2)-1",1,"-2*E^x - 2*x + x^2 + x^3/4 - (E^x + x)*Log[x]","A",1
1052,1,23,25,0.0537429,"\int \frac{e^{\frac{x}{\log \left(e^x-5 x^2\right)}} \left(-e^x x+10 x^2+\left(e^x-5 x^2\right) \log \left(e^x-5 x^2\right)\right)}{e^{\frac{x}{\log \left(e^x-5 x^2\right)}} \left(e^x-5 x^2\right) \log ^2\left(e^x-5 x^2\right)+\left(-e^{4+x}+5 e^4 x^2\right) \log ^2\left(e^x-5 x^2\right)} \, dx","Integrate[(E^(x/Log[E^x - 5*x^2])*(-(E^x*x) + 10*x^2 + (E^x - 5*x^2)*Log[E^x - 5*x^2]))/(E^(x/Log[E^x - 5*x^2])*(E^x - 5*x^2)*Log[E^x - 5*x^2]^2 + (-E^(4 + x) + 5*E^4*x^2)*Log[E^x - 5*x^2]^2),x]","\log \left(e^{\frac{x}{\log \left(e^x-5 x^2\right)}}-e^4\right)","\log \left(e^{\frac{x}{\log \left(e^x-5 x^2\right)}}-e^4\right)+1",1,"Log[-E^4 + E^(x/Log[E^x - 5*x^2])]","A",1
1053,1,24,25,0.006462,"\int \frac{116-78 x+4 x^2}{-3+2 x} \, dx","Integrate[(116 - 78*x + 4*x^2)/(-3 + 2*x),x]","2 \left(\frac{x^2}{2}-18 x+2 \log (2 x-3)+\frac{207}{8}\right)","4 \left(4 \left(\frac{x}{16}-2\right) x-x+\log (3 (2 x-3))+6\right)",1,"2*(207/8 - 18*x + x^2/2 + 2*Log[-3 + 2*x])","A",1
1054,1,19,23,0.0212297,"\int \frac{-16+32 x-8 x^2+16 x^3-x^4+2 x^5+e \left(48 x-12 x^3\right)}{16 x+8 x^3+x^5} \, dx","Integrate[(-16 + 32*x - 8*x^2 + 16*x^3 - x^4 + 2*x^5 + E*(48*x - 12*x^3))/(16*x + 8*x^3 + x^5),x]","\frac{12 e x}{x^2+4}+2 x-\log (x)","-3 e \left(1-\frac{4 x}{x^2+4}\right)+2 x-\log (x)",1,"2*x + (12*E*x)/(4 + x^2) - Log[x]","A",1
1055,1,14,28,0.0330868,"\int e^{16-6 e^x+20 x} \left(-20+6 e^x\right) \, dx","Integrate[E^(16 - 6*E^x + 20*x)*(-20 + 6*E^x),x]","-e^{20 x-6 e^x+16}","1-e^{-x^2+(x+4)^2-3 \left(2 e^x-4 x\right)}",1,"-E^(16 - 6*E^x + 20*x)","A",1
1056,1,30,27,0.2976661,"\int \frac{-1+6 e^x+e^x \log \left(\frac{5 e^x}{-e^5+\log (5)}\right)}{5 e^x-x+e^x \log \left(\frac{5 e^x}{-e^5+\log (5)}\right)} \, dx","Integrate[(-1 + 6*E^x + E^x*Log[(5*E^x)/(-E^5 + Log[5])])/(5*E^x - x + E^x*Log[(5*E^x)/(-E^5 + Log[5])]),x]","\log \left(-x+5 e^x+e^x \log \left(\frac{5 e^x}{\log (5)-e^5}\right)\right)","\log \left(e^x \left(\log \left(\frac{5 e^x}{\log (5)-e^5}\right)+5\right)-x\right)",1,"Log[5*E^x - x + E^x*Log[(5*E^x)/(-E^5 + Log[5])]]","A",1
1057,1,18,18,0.1971795,"\int \frac{2-x}{4 x-4 x^2+e^2 (-4+4 x)+(-4+4 x) \log (-1+x)} \, dx","Integrate[(2 - x)/(4*x - 4*x^2 + E^2*(-4 + 4*x) + (-4 + 4*x)*Log[-1 + x]),x]","\frac{1}{4} \log \left(x-\log (x-1)-e^2\right)","\frac{1}{4} \log \left(x-\log (x-1)-e^2\right)",1,"Log[-E^2 + x - Log[-1 + x]]/4","A",1
1058,1,24,29,0.0366,"\int \frac{-40 x+60 x^2-10 x^4+e (-6+8 x)}{5 x^2-10 x^3+5 x^5+e \left(x-2 x^2+x^4\right)} \, dx","Integrate[(-40*x + 60*x^2 - 10*x^4 + E*(-6 + 8*x))/(5*x^2 - 10*x^3 + 5*x^5 + E*(x - 2*x^2 + x^4)),x]","2 \log \left(x^3-2 x+1\right)-6 \log (x)-2 \log (5 x+e)","2 \log \left(\frac{3 \left(x-\frac{2-\frac{1}{x}}{x}\right)}{x (5 x+e)}\right)",1,"-6*Log[x] - 2*Log[E + 5*x] + 2*Log[1 - 2*x + x^3]","A",1
1059,1,8,18,0.0032319,"\int \frac{e^x (3-3 x)}{x^2} \, dx","Integrate[(E^x*(3 - 3*x))/x^2,x]","-\frac{3 e^x}{x}","130 \left(5+e^3+\log (2)\right)-\frac{3 e^x}{x}",1,"(-3*E^x)/x","A",1
1060,1,16,18,0.0025816,"\int \frac{10 x-2 e x-2 x \log (25)}{e+\log (25)} \, dx","Integrate[(10*x - 2*E*x - 2*x*Log[25])/(E + Log[25]),x]","-\frac{x^2 (-5+e+\log (25))}{e+\log (25)}","-x^2+\frac{5 x^2}{e+\log (25)}-1",1,"-((x^2*(-5 + E + Log[25]))/(E + Log[25]))","A",1
1061,1,15,15,0.0084826,"\int -12 e^{4+12 e^x+x} \log \left(\frac{4}{3}\right) \, dx","Integrate[-12*E^(4 + 12*E^x + x)*Log[4/3],x]","-e^{12 e^x+4} \log \left(\frac{4}{3}\right)","-e^{12 e^x+4} \log \left(\frac{4}{3}\right)",1,"-(E^(4 + 12*E^x)*Log[4/3])","A",1
1062,1,29,30,0.0483856,"\int \frac{1}{2} e^{-e^{x^2}-2 x} \left(20 x-14 x^2-8 x^3+2 x^4+e \left(10-16 x-7 x^2+2 x^3\right)+e^{x^2} \left(-20 x^3-4 x^4+2 x^5+e \left(-20 x^2-4 x^3+2 x^4\right)\right)\right) \, dx","Integrate[(E^(-E^x^2 - 2*x)*(20*x - 14*x^2 - 8*x^3 + 2*x^4 + E*(10 - 16*x - 7*x^2 + 2*x^3) + E^x^2*(-20*x^3 - 4*x^4 + 2*x^5 + E*(-20*x^2 - 4*x^3 + 2*x^4))))/2,x]","-\frac{1}{2} e^{-e^{x^2}-2 x} x (x+e) \left(x^2-2 x-10\right)","e^{-e^{x^2}-2 x} x (x+e) \left(\frac{1}{2} (2-x) x+5\right)",1,"-1/2*(E^(-E^x^2 - 2*x)*x*(E + x)*(-10 - 2*x + x^2))","A",1
1063,1,26,21,0.0149459,"\int \frac{-30+x^2+\frac{x^2 \left(-60-2 x^2\right)}{e^2 \left(30-x^2\right)^2}}{-30 x+x^3} \, dx","Integrate[(-30 + x^2 + (x^2*(-60 - 2*x^2))/(E^2*(30 - x^2)^2))/(-30*x + x^3),x]","\frac{1}{e^2 \left(x^2-30\right)}+\frac{30}{e^2 \left(x^2-30\right)^2}+\log (x)","e^{2 \left(-\log \left(30-x^2\right)+\log (x)-1\right)}+\log (x)",1,"30/(E^2*(-30 + x^2)^2) + 1/(E^2*(-30 + x^2)) + Log[x]","A",1
1064,1,28,24,0.737435,"\int \exp \left(9+e^{2 x}+e^x (-6-6 x)+19 x+8 x^2+x^4\right) \left(19+2 e^{2 x}+e^x (-12-6 x)+16 x+4 x^3\right) \, dx","Integrate[E^(9 + E^(2*x) + E^x*(-6 - 6*x) + 19*x + 8*x^2 + x^4)*(19 + 2*E^(2*x) + E^x*(-12 - 6*x) + 16*x + 4*x^3),x]","e^{x^4+8 x^2+19 x+e^{2 x}-6 e^x (x+1)+9}","e^{x^4-x^2+x+\left(3 x-e^x+3\right)^2}",1,"E^(9 + E^(2*x) + 19*x + 8*x^2 + x^4 - 6*E^x*(1 + x))","A",1
1065,1,29,26,0.2235362,"\int \frac{-2 x-5 x^4-60 x^6+e^{2 x} \left(-5 x^2-60 x^4\right)+e^x \left(-1-x-10 x^3-120 x^5\right)+\left(5 e^{2 x} x^2+10 e^x x^3+5 x^4\right) \log (\log (5))}{5 e^{2 x} x^2+10 e^x x^3+5 x^4} \, dx","Integrate[(-2*x - 5*x^4 - 60*x^6 + E^(2*x)*(-5*x^2 - 60*x^4) + E^x*(-1 - x - 10*x^3 - 120*x^5) + (5*E^(2*x)*x^2 + 10*E^x*x^3 + 5*x^4)*Log[Log[5]])/(5*E^(2*x)*x^2 + 10*E^x*x^3 + 5*x^4),x]","\frac{1}{5} \left(-20 x^3+\frac{1}{\left(x+e^x\right) x}+5 x (\log (\log (5))-1)\right)","x \left(-4 x^2+\frac{1}{5 \left(x+e^x\right) x^2}-1+\log (\log (5))\right)",1,"(-20*x^3 + 1/(x*(E^x + x)) + 5*x*(-1 + Log[Log[5]]))/5","A",1
1066,1,41,27,0.0427535,"\int \frac{20+4 x+\left(5-6 x+x^2\right) \log \left(\frac{-5+x}{(-1+x) (i \pi +\log (3))}\right)}{5-6 x+x^2} \, dx","Integrate[(20 + 4*x + (5 - 6*x + x^2)*Log[(-5 + x)/((-1 + x)*(I*Pi + Log[3]))])/(5 - 6*x + x^2),x]","-10 \log (1-x)+10 \log (5-x)+(x-5) \log \left(\frac{x-5}{(x-1) (\log (3)+i \pi )}\right)","(x+5) \log \left(\frac{\frac{4}{1-x}+1}{\log (3)+i \pi }\right)",1,"-10*Log[1 - x] + 10*Log[5 - x] + (-5 + x)*Log[(-5 + x)/((-1 + x)*(I*Pi + Log[3]))]","A",1
1067,1,22,25,0.1647317,"\int e^{e^{23 x^2+5 e^{e^4} x^2+e^x x^2}} \left(1+e^{23 x^2+5 e^{e^4} x^2+e^x x^2} \left(46 x^2+10 e^{e^4} x^2+e^x \left(2 x^2+x^3\right)\right)\right) \, dx","Integrate[E^E^(23*x^2 + 5*E^E^4*x^2 + E^x*x^2)*(1 + E^(23*x^2 + 5*E^E^4*x^2 + E^x*x^2)*(46*x^2 + 10*E^E^4*x^2 + E^x*(2*x^2 + x^3))),x]","e^{e^{\left(e^x+23+5 e^{e^4}\right) x^2}} x","e^{e^{x \left(e^x x+\left(23+5 e^{e^4}\right) x\right)}} x",1,"E^E^((23 + 5*E^E^4 + E^x)*x^2)*x","A",1
1068,1,19,25,0.0055051,"\int \frac{9+3 \log (4)}{\left(144+24 x+x^2\right) \log (2)+(120+10 x) \log (2) \log (4)+25 \log (2) \log ^2(4)} \, dx","Integrate[(9 + 3*Log[4])/((144 + 24*x + x^2)*Log[2] + (120 + 10*x)*Log[2]*Log[4] + 25*Log[2]*Log[4]^2),x]","-\frac{3 (3+\log (4))}{\log (2) (x+12+5 \log (4))}","1-\frac{15}{\log (2) \left(25-\frac{5 (3-x)}{3+\log (4)}\right)}",1,"(-3*(3 + Log[4]))/(Log[2]*(12 + x + 5*Log[4]))","A",1
1069,1,27,25,0.1560956,"\int \frac{6 e^{\frac{30+e (10-5 x)-15 x}{\log (4)}} \log (4)+e^{\frac{30+e (10-5 x)-15 x}{\log (4)}} (-45 x-15 e x+3 \log (4)) \log \left(x^2\right)}{2 \log (4)} \, dx","Integrate[(6*E^((30 + E*(10 - 5*x) - 15*x)/Log[4])*Log[4] + E^((30 + E*(10 - 5*x) - 15*x)/Log[4])*(-45*x - 15*E*x + 3*Log[4])*Log[x^2])/(2*Log[4]),x]","\frac{3 x \log (4) e^{-\frac{5 (3+e) (x-2)}{\log (4)}} \log \left(x^2\right)}{\log (16)}","\frac{3}{2} x e^{\frac{5 (3+e) (2-x)}{\log (4)}} \log \left(x^2\right)",1,"(3*x*Log[4]*Log[x^2])/(E^((5*(3 + E)*(-2 + x))/Log[4])*Log[16])","A",1
1070,1,22,18,0.1032198,"\int \frac{e^{\frac{(10-5 x) x^2}{-4+x^2 (-8+4 x)}} x^2 (-20+15 x)}{4 x+x^2 \left(16 x-8 x^2\right)+x^4 \left(16 x-16 x^2+4 x^3\right)} \, dx","Integrate[(E^(((10 - 5*x)*x^2)/(-4 + x^2*(-8 + 4*x)))*x^2*(-20 + 15*x))/(4*x + x^2*(16*x - 8*x^2) + x^4*(16*x - 16*x^2 + 4*x^3)),x]","e^{-\frac{5}{4 \left(x^3-2 x^2-1\right)}-\frac{5}{4}}","e^{\frac{5}{\frac{4}{(x-2) x^2}-4}}",1,"E^(-5/4 - 5/(4*(-1 - 2*x^2 + x^3)))","A",1
1071,1,19,19,0.4190476,"\int \frac{e^{2-x} \left(-141+e^x (-48-x)-3 x+\left(-3-e^x\right) \log \left(3+e^x\right)\right)}{\left(46+x+\log \left(3+e^x\right)\right) \left(138+3 x+e^x (46+x)+\left(3+e^x\right) \log \left(3+e^x\right)\right)} \, dx","Integrate[(E^(2 - x)*(-141 + E^x*(-48 - x) - 3*x + (-3 - E^x)*Log[3 + E^x]))/((46 + x + Log[3 + E^x])*(138 + 3*x + E^x*(46 + x) + (3 + E^x)*Log[3 + E^x])),x]","\frac{e^{2-x}}{x+\log \left(e^x+3\right)+46}","\frac{e^{2-x}}{x+\log \left(e^x+3\right)+46}",1,"E^(2 - x)/(46 + x + Log[3 + E^x])","A",1
1072,1,21,21,0.1041073,"\int \frac{-2 x^2-2 x \log (x)+\left(-2 x-4 x^2-2 x \log (x)\right) \log (25 x)+\left(2 x^2+2 x \log (x)\right) \log (25 x) \log (x+\log (x))+\left(2 x^2+2 x \log (x)\right) \log (25 x) \log (\log (25 x))}{\left(-x-3 x^2-3 x^3-x^4+\left(-1-3 x-3 x^2-x^3\right) \log (x)\right) \log (25 x)+\left(3 x+6 x^2+3 x^3+\left(3+6 x+3 x^2\right) \log (x)\right) \log (25 x) \log (x+\log (x))+\left(-3 x-3 x^2+(-3-3 x) \log (x)\right) \log (25 x) \log ^2(x+\log (x))+(x+\log (x)) \log (25 x) \log ^3(x+\log (x))+\left(\left(3 x+6 x^2+3 x^3+\left(3+6 x+3 x^2\right) \log (x)\right) \log (25 x)+\left(-6 x-6 x^2+(-6-6 x) \log (x)\right) \log (25 x) \log (x+\log (x))+(3 x+3 \log (x)) \log (25 x) \log ^2(x+\log (x))\right) \log (\log (25 x))+\left(\left(-3 x-3 x^2+(-3-3 x) \log (x)\right) \log (25 x)+(3 x+3 \log (x)) \log (25 x) \log (x+\log (x))\right) \log ^2(\log (25 x))+(x+\log (x)) \log (25 x) \log ^3(\log (25 x))} \, dx","Integrate[(-2*x^2 - 2*x*Log[x] + (-2*x - 4*x^2 - 2*x*Log[x])*Log[25*x] + (2*x^2 + 2*x*Log[x])*Log[25*x]*Log[x + Log[x]] + (2*x^2 + 2*x*Log[x])*Log[25*x]*Log[Log[25*x]])/((-x - 3*x^2 - 3*x^3 - x^4 + (-1 - 3*x - 3*x^2 - x^3)*Log[x])*Log[25*x] + (3*x + 6*x^2 + 3*x^3 + (3 + 6*x + 3*x^2)*Log[x])*Log[25*x]*Log[x + Log[x]] + (-3*x - 3*x^2 + (-3 - 3*x)*Log[x])*Log[25*x]*Log[x + Log[x]]^2 + (x + Log[x])*Log[25*x]*Log[x + Log[x]]^3 + ((3*x + 6*x^2 + 3*x^3 + (3 + 6*x + 3*x^2)*Log[x])*Log[25*x] + (-6*x - 6*x^2 + (-6 - 6*x)*Log[x])*Log[25*x]*Log[x + Log[x]] + (3*x + 3*Log[x])*Log[25*x]*Log[x + Log[x]]^2)*Log[Log[25*x]] + ((-3*x - 3*x^2 + (-3 - 3*x)*Log[x])*Log[25*x] + (3*x + 3*Log[x])*Log[25*x]*Log[x + Log[x]])*Log[Log[25*x]]^2 + (x + Log[x])*Log[25*x]*Log[Log[25*x]]^3),x]","\frac{x^2}{(-x+\log (x+\log (x))+\log (\log (25 x))-1)^2}","\frac{x^2}{(-x+\log (x+\log (x))+\log (\log (25 x))-1)^2}",1,"x^2/(-1 - x + Log[x + Log[x]] + Log[Log[25*x]])^2","A",1
1073,1,26,24,0.152046,"\int \frac{e^x \left(3+90 x-15 x^3+5 x^5\right)+e^x (-12+3 x) \log (x)}{5 x^5} \, dx","Integrate[(E^x*(3 + 90*x - 15*x^3 + 5*x^5) + E^x*(-12 + 3*x)*Log[x])/(5*x^5),x]","\frac{e^x \left(5 x \left(x^3-3 x-6\right)+3 \log (x)\right)}{5 x^4}","e^x-\frac{3 e^x \left(x-\frac{\log (x)}{5 x}+2\right)}{x^3}",1,"(E^x*(5*x*(-6 - 3*x + x^3) + 3*Log[x]))/(5*x^4)","A",1
1074,0,0,28,1.0200864,"\int \frac{\exp \left(-4+x^2+4 x^5+4 x^3 \log (2)+x \log ^2(2)+\left(-4 x^4-2 x^2 \log (2)\right) \log \left(-25+\log \left(x^2\right)\right)+x^3 \log ^2\left(-25+\log \left(x^2\right)\right)\right) \left(-50 x-8 x^3-500 x^4+\left(-4 x-300 x^2\right) \log (2)-25 \log ^2(2)+\left(2 x+20 x^4+12 x^2 \log (2)+\log ^2(2)\right) \log \left(x^2\right)+\left(4 x^2+400 x^3+100 x \log (2)+\left(-16 x^3-4 x \log (2)\right) \log \left(x^2\right)\right) \log \left(-25+\log \left(x^2\right)\right)+\left(-75 x^2+3 x^2 \log \left(x^2\right)\right) \log ^2\left(-25+\log \left(x^2\right)\right)\right)}{-25+\log \left(x^2\right)} \, dx","Integrate[(E^(-4 + x^2 + 4*x^5 + 4*x^3*Log[2] + x*Log[2]^2 + (-4*x^4 - 2*x^2*Log[2])*Log[-25 + Log[x^2]] + x^3*Log[-25 + Log[x^2]]^2)*(-50*x - 8*x^3 - 500*x^4 + (-4*x - 300*x^2)*Log[2] - 25*Log[2]^2 + (2*x + 20*x^4 + 12*x^2*Log[2] + Log[2]^2)*Log[x^2] + (4*x^2 + 400*x^3 + 100*x*Log[2] + (-16*x^3 - 4*x*Log[2])*Log[x^2])*Log[-25 + Log[x^2]] + (-75*x^2 + 3*x^2*Log[x^2])*Log[-25 + Log[x^2]]^2))/(-25 + Log[x^2]),x]","\int \frac{\exp \left(-4+x^2+4 x^5+4 x^3 \log (2)+x \log ^2(2)+\left(-4 x^4-2 x^2 \log (2)\right) \log \left(-25+\log \left(x^2\right)\right)+x^3 \log ^2\left(-25+\log \left(x^2\right)\right)\right) \left(-50 x-8 x^3-500 x^4+\left(-4 x-300 x^2\right) \log (2)-25 \log ^2(2)+\left(2 x+20 x^4+12 x^2 \log (2)+\log ^2(2)\right) \log \left(x^2\right)+\left(4 x^2+400 x^3+100 x \log (2)+\left(-16 x^3-4 x \log (2)\right) \log \left(x^2\right)\right) \log \left(-25+\log \left(x^2\right)\right)+\left(-75 x^2+3 x^2 \log \left(x^2\right)\right) \log ^2\left(-25+\log \left(x^2\right)\right)\right)}{-25+\log \left(x^2\right)} \, dx","\exp \left(x \left(\left(x \left(2 x-\log \left(\log \left(x^2\right)-25\right)\right)+\log (2)\right)^2+x\right)-4\right)",1,"Integrate[(E^(-4 + x^2 + 4*x^5 + 4*x^3*Log[2] + x*Log[2]^2 + (-4*x^4 - 2*x^2*Log[2])*Log[-25 + Log[x^2]] + x^3*Log[-25 + Log[x^2]]^2)*(-50*x - 8*x^3 - 500*x^4 + (-4*x - 300*x^2)*Log[2] - 25*Log[2]^2 + (2*x + 20*x^4 + 12*x^2*Log[2] + Log[2]^2)*Log[x^2] + (4*x^2 + 400*x^3 + 100*x*Log[2] + (-16*x^3 - 4*x*Log[2])*Log[x^2])*Log[-25 + Log[x^2]] + (-75*x^2 + 3*x^2*Log[x^2])*Log[-25 + Log[x^2]]^2))/(-25 + Log[x^2]), x]","F",-1
1075,1,41,24,0.0623254,"\int \frac{525+225 x+375 x^2+686 x^3+294 x^4+336 x^5+86 x^6+48 x^7+6 x^8+2 x^9+e^x \left(343 x^2+147 x^3+168 x^4+43 x^5+24 x^6+3 x^7+x^8\right)}{343 x^2+147 x^3+168 x^4+43 x^5+24 x^6+3 x^7+x^8} \, dx","Integrate[(525 + 225*x + 375*x^2 + 686*x^3 + 294*x^4 + 336*x^5 + 86*x^6 + 48*x^7 + 6*x^8 + 2*x^9 + E^x*(343*x^2 + 147*x^3 + 168*x^4 + 43*x^5 + 24*x^6 + 3*x^7 + x^8))/(343*x^2 + 147*x^3 + 168*x^4 + 43*x^5 + 24*x^6 + 3*x^7 + x^8),x]","\frac{x^7+2 x^6+15 x^5+14 x^4+49 x^3-75}{x \left(x^2+x+7\right)^2}+e^x","x^2-\frac{75}{\left(-x^2-x-7\right)^2 x}+e^x",1,"E^x + (-75 + 49*x^3 + 14*x^4 + 15*x^5 + 2*x^6 + x^7)/(x*(7 + x + x^2)^2)","A",1
1076,1,37,30,0.3337775,"\int \frac{4+11 x+5 x^2+x^3+\left(20+55 x+25 x^2+5 x^3\right) \log (3)+\left(-4-7 x-2 x^2+\left(-20-35 x-10 x^2\right) \log (3)\right) \log (x)+(1+x+(5+5 x) \log (3)) \log ^2(x)}{12 x^2+10 x^3+2 x^4+\left(8 x-2 x^2-2 x^3\right) \log (x)+\left(-8 x-2 x^2\right) \log ^2(x)+2 x \log ^3(x)} \, dx","Integrate[(4 + 11*x + 5*x^2 + x^3 + (20 + 55*x + 25*x^2 + 5*x^3)*Log[3] + (-4 - 7*x - 2*x^2 + (-20 - 35*x - 10*x^2)*Log[3])*Log[x] + (1 + x + (5 + 5*x)*Log[3])*Log[x]^2)/(12*x^2 + 10*x^3 + 2*x^4 + (8*x - 2*x^2 - 2*x^3)*Log[x] + (-8*x - 2*x^2)*Log[x]^2 + 2*x*Log[x]^3),x]","\frac{1}{2} (1+\log (243)) \left(\log \left(x^2+3 x-\log ^2(x)+2 \log (x)\right)-\log (x-\log (x)+2)\right)","\frac{(x+5 x \log (3)) \log \left(x+\frac{x}{x-\log (x)+2}+\log (x)\right)}{2 x}",1,"((1 + Log[243])*(-Log[2 + x - Log[x]] + Log[3*x + x^2 + 2*Log[x] - Log[x]^2]))/2","A",1
1077,1,19,19,0.1565537,"\int \frac{e^{\frac{x+\log ^2\left(-\log \left(5 x^2\right)\right)}{x}} \left(4 \log \left(-\log \left(5 x^2\right)\right)-\log \left(5 x^2\right) \log ^2\left(-\log \left(5 x^2\right)\right)\right)}{x^2 \log \left(5 x^2\right)} \, dx","Integrate[(E^((x + Log[-Log[5*x^2]]^2)/x)*(4*Log[-Log[5*x^2]] - Log[5*x^2]*Log[-Log[5*x^2]]^2))/(x^2*Log[5*x^2]),x]","e^{\frac{\log ^2\left(-\log \left(5 x^2\right)\right)}{x}+1}","e^{\frac{\log ^2\left(-\log \left(5 x^2\right)\right)+x}{x}}",1,"E^(1 + Log[-Log[5*x^2]]^2/x)","A",1
1078,1,24,23,0.1561833,"\int \frac{-9 x+14 x^2-3 x^3+e^x \left(-6-2 x+x^2\right)}{-3 x^2+4 x^3-x^4+e^x \left(-3 x+x^2\right)} \, dx","Integrate[(-9*x + 14*x^2 - 3*x^3 + E^x*(-6 - 2*x + x^2))/(-3*x^2 + 4*x^3 - x^4 + E^x*(-3*x + x^2)),x]","\log \left(-x^2+x+e^x\right)-\log (3-x)+2 \log (x)","\log \left(\frac{x^2 \left(-x^2+x+e^x\right)}{500 (x-3)}\right)",1,"-Log[3 - x] + 2*Log[x] + Log[E^x + x - x^2]","A",1
1079,1,50,25,0.0213762,"\int \frac{-378535936+187392 x^2-1152 x^3+3 x^4+\left(179306496-27648 x^2+128 x^3\right) \log (5)+\left(-31195136+1536 x^2\right) \log ^2(5)+2359296 \log ^3(5)-65536 \log ^4(5)}{65536 x^2} \, dx","Integrate[(-378535936 + 187392*x^2 - 1152*x^3 + 3*x^4 + (179306496 - 27648*x^2 + 128*x^3)*Log[5] + (-31195136 + 1536*x^2)*Log[5]^2 + 2359296*Log[5]^3 - 65536*Log[5]^4)/(65536*x^2),x]","\frac{x^3}{65536}+\frac{x^2 (\log (5)-9)}{1024}+\frac{3}{128} x \left(122+\log ^2(5)-18 \log (5)\right)+\frac{\left(76+\log ^2(5)-18 \log (5)\right)^2}{x}","x \left(\frac{\left(\left(-\frac{x}{16}+9-\log (5)\right)^2-5\right)^2}{x^2}+1\right)",1,"x^3/65536 + (x^2*(-9 + Log[5]))/1024 + (76 - 18*Log[5] + Log[5]^2)^2/x + (3*x*(122 - 18*Log[5] + Log[5]^2))/128","A",1
1080,1,29,24,0.0205646,"\int \frac{\left(324-162 e^4\right) \log (4) \log (x)+\left(162-81 e^4\right) \log (4) \log ^2(x)}{164025+(4050 x-810 x \log (4)) \log ^2(x)+\left(25 x^2-10 x^2 \log (4)+x^2 \log ^2(4)\right) \log ^4(x)} \, dx","Integrate[((324 - 162*E^4)*Log[4]*Log[x] + (162 - 81*E^4)*Log[4]*Log[x]^2)/(164025 + (4050*x - 810*x*Log[4])*Log[x]^2 + (25*x^2 - 10*x^2*Log[4] + x^2*Log[4]^2)*Log[x]^4),x]","\frac{81 \left(e^4-2\right) \log (4)}{(\log (4)-5) \left(x (\log (4)-5) \log ^2(x)-405\right)}","\frac{e^4-2}{\frac{x \log (4)}{x+\frac{81}{\log ^2(x)}}-5}",1,"(81*(-2 + E^4)*Log[4])/((-5 + Log[4])*(-405 + x*(-5 + Log[4])*Log[x]^2))","A",1
1081,1,23,24,0.1410138,"\int \frac{-24 e^{5 x}+e^{2+e^{2-5 x} x^3} \left(-24 x^2+40 x^3\right)}{e^{5 x+2 e^{2-5 x} x^3}+e^{5 x+e^{2-5 x} x^3} (6 x+6 \log (2))+e^{5 x} \left(9 x^2+18 x \log (2)+9 \log ^2(2)\right)} \, dx","Integrate[(-24*E^(5*x) + E^(2 + E^(2 - 5*x)*x^3)*(-24*x^2 + 40*x^3))/(E^(5*x + 2*E^(2 - 5*x)*x^3) + E^(5*x + E^(2 - 5*x)*x^3)*(6*x + 6*Log[2]) + E^(5*x)*(9*x^2 + 18*x*Log[2] + 9*Log[2]^2)),x]","\frac{8}{e^{e^{2-5 x} x^3}+3 x+\log (8)}","\frac{8}{e^{e^{2-5 x} x^3}+3 (x+\log (2))}",1,"8/(E^(E^(2 - 5*x)*x^3) + 3*x + Log[8])","A",1
1082,1,55,30,0.3749629,"\int \frac{-1+e^{1+e^x-x+e^2 \left(2 x-x^2\right)} \left(-x+e^x x+e^2 \left(2 x-2 x^2\right)\right)}{e^{2+2 e^x-2 x+2 e^2 \left(2 x-x^2\right)} x+x \log ^2(2)-2 x \log (2) \log (x)+x \log ^2(x)+e^{1+e^x-x+e^2 \left(2 x-x^2\right)} (2 x \log (2)-2 x \log (x))} \, dx","Integrate[(-1 + E^(1 + E^x - x + E^2*(2*x - x^2))*(-x + E^x*x + E^2*(2*x - 2*x^2)))/(E^(2 + 2*E^x - 2*x + 2*E^2*(2*x - x^2))*x + x*Log[2]^2 - 2*x*Log[2]*Log[x] + x*Log[x]^2 + E^(1 + E^x - x + E^2*(2*x - x^2))*(2*x*Log[2] - 2*x*Log[x])),x]","-\frac{e^{e^2 x^2}}{-e^{e^2 x^2} \log (x)+e^{e^2 x^2} \log (2)+e^{2 e^2 x-x+e^x+1}}","\frac{1}{-e^{-\left((x-2) \left(e^2 x+1\right)\right)+e^x-1}+\log (x)-\log (2)}",1,"-(E^(E^2*x^2)/(E^(1 + E^x - x + 2*E^2*x) + E^(E^2*x^2)*Log[2] - E^(E^2*x^2)*Log[x]))","A",1
1083,1,51,26,0.0720733,"\int \frac{x-x^2+3 x^3+e^x x \left(1-x+3 x^2\right) \left(4-6 x+34 x^2+x^3-3 x^4+e^5 \left(1-x+8 x^2+3 x^3\right)\right)}{x-x^2+3 x^3} \, dx","Integrate[(x - x^2 + 3*x^3 + E^x*x*(1 - x + 3*x^2)*(4 - 6*x + 34*x^2 + x^3 - 3*x^4 + E^5*(1 - x + 8*x^2 + 3*x^3)))/(x - x^2 + 3*x^3),x]","e^x \left(3 e^5 x^3-e^5 x^2+e^5 x\right)+e^x \left(-3 x^4+13 x^3-5 x^2+4 x\right)+x","e^x \left(-x+e^5+4\right) \left(3 x^2-x+1\right) x+x-3",1,"x + E^x*(E^5*x - E^5*x^2 + 3*E^5*x^3) + E^x*(4*x - 5*x^2 + 13*x^3 - 3*x^4)","A",1
1084,1,19,19,0.0265101,"\int \frac{-3300 x+(26400 x-6600 x \log (x)) \log (4-\log (x)) \log (\log (4-\log (x)))}{(-576+144 \log (x)) \log (4-\log (x))+\left(-26400 x^2+6600 x^2 \log (x)\right) \log (4-\log (x)) \log (\log (4-\log (x)))+\left(-302500 x^4+75625 x^4 \log (x)\right) \log (4-\log (x)) \log ^2(\log (4-\log (x)))} \, dx","Integrate[(-3300*x + (26400*x - 6600*x*Log[x])*Log[4 - Log[x]]*Log[Log[4 - Log[x]]])/((-576 + 144*Log[x])*Log[4 - Log[x]] + (-26400*x^2 + 6600*x^2*Log[x])*Log[4 - Log[x]]*Log[Log[4 - Log[x]]] + (-302500*x^4 + 75625*x^4*Log[x])*Log[4 - Log[x]]*Log[Log[4 - Log[x]]]^2),x]","\frac{12}{275 x^2 \log (\log (4-\log (x)))+12}","\frac{1}{\frac{275}{12} x^2 \log (\log (4-\log (x)))+1}",1,"12/(12 + 275*x^2*Log[Log[4 - Log[x]]])","A",1
1085,1,30,29,0.206696,"\int \frac{\exp \left(\frac{\left(-16 x+4 x^2\right) \log ^2(4)-8 \log ^2(4) \log (\log (4-x))}{-4 x+x^2}\right) \left(-8 x \log ^2(4)+(-32+16 x) \log ^2(4) \log (4-x) \log (\log (4-x))\right)}{\left(16 x^2-8 x^3+x^4\right) \log (4-x)} \, dx","Integrate[(E^(((-16*x + 4*x^2)*Log[4]^2 - 8*Log[4]^2*Log[Log[4 - x]])/(-4*x + x^2))*(-8*x*Log[4]^2 + (-32 + 16*x)*Log[4]^2*Log[4 - x]*Log[Log[4 - x]]))/((16*x^2 - 8*x^3 + x^4)*Log[4 - x]),x]","e^{4 \log ^2(4)} \log ^{-\frac{8 \log ^2(4)}{(x-4) x}}(4-x)","e^{\frac{4 \log ^2(4) \left(x+\frac{2 \log (\log (4-x))}{4-x}\right)}{x}}",1,"E^(4*Log[4]^2)/Log[4 - x]^((8*Log[4]^2)/((-4 + x)*x))","A",1
1086,1,18,23,0.3769481,"\int \frac{\left(3 \log (3)+\log \left(\frac{4+4 x}{x}\right)\right)^{500+200 x+20 x^2} \left(-500-200 x-20 x^2+\left(\left(600 x+720 x^2+120 x^3\right) \log (3)+\left(200 x+240 x^2+40 x^3\right) \log \left(\frac{4+4 x}{x}\right)\right) \log \left(3 \log (3)+\log \left(\frac{4+4 x}{x}\right)\right)\right)}{\left(3 x+3 x^2\right) \log (3)+\left(x+x^2\right) \log \left(\frac{4+4 x}{x}\right)} \, dx","Integrate[((3*Log[3] + Log[(4 + 4*x)/x])^(500 + 200*x + 20*x^2)*(-500 - 200*x - 20*x^2 + ((600*x + 720*x^2 + 120*x^3)*Log[3] + (200*x + 240*x^2 + 40*x^3)*Log[(4 + 4*x)/x])*Log[3*Log[3] + Log[(4 + 4*x)/x]]))/((3*x + 3*x^2)*Log[3] + (x + x^2)*Log[(4 + 4*x)/x]),x]","\log ^{20 x (x+10)+500}\left(\frac{108 (x+1)}{x}\right)","\left(\log \left(\frac{4}{x}+4\right)+3 \log (3)\right)^{5 (2 x+10)^2}",1,"Log[(108*(1 + x))/x]^(500 + 20*x*(10 + x))","A",1
1087,1,19,22,0.0255166,"\int \frac{-3+e^x \left(-3-e^3\right)+e^3 (-1+x)+3 x}{x+e^x x} \, dx","Integrate[(-3 + E^x*(-3 - E^3) + E^3*(-1 + x) + 3*x)/(x + E^x*x),x]","-\left(\left(3+e^3\right) \left(-x+\log \left(e^x+1\right)+\log (x)\right)\right)","\left(-3-e^3\right) \left(\log \left(e^{-x} x+x\right)+\frac{4}{3}\right)",1,"-((3 + E^3)*(-x + Log[1 + E^x] + Log[x]))","A",1
1088,1,22,25,0.0708169,"\int \frac{\left(-12+3 e^{\frac{x}{3+x^2+x^3}}+2 x\right) \left(36+24 x^2+24 x^3+4 x^4+8 x^5+4 x^6+e^{\frac{x}{3+x^2+x^3}} \left(-9+3 x-6 x^2-7 x^3-3 x^4-2 x^5-x^6\right)\right)}{\left(-4+e^{\frac{x}{3+x^2+x^3}}+x\right) \left(432-180 x+306 x^2+168 x^3-60 x^4+88 x^5+10 x^6-16 x^7+2 x^8+e^{\frac{2 x}{3+x^2+x^3}} \left(27+18 x^2+18 x^3+3 x^4+6 x^5+3 x^6\right)+e^{\frac{x}{3+x^2+x^3}} \left(-216+45 x-144 x^2-114 x^3+6 x^4-43 x^5-14 x^6+5 x^7\right)\right)} \, dx","Integrate[((-12 + 3*E^(x/(3 + x^2 + x^3)) + 2*x)*(36 + 24*x^2 + 24*x^3 + 4*x^4 + 8*x^5 + 4*x^6 + E^(x/(3 + x^2 + x^3))*(-9 + 3*x - 6*x^2 - 7*x^3 - 3*x^4 - 2*x^5 - x^6)))/((-4 + E^(x/(3 + x^2 + x^3)) + x)*(432 - 180*x + 306*x^2 + 168*x^3 - 60*x^4 + 88*x^5 + 10*x^6 - 16*x^7 + 2*x^8 + E^((2*x)/(3 + x^2 + x^3))*(27 + 18*x^2 + 18*x^3 + 3*x^4 + 6*x^5 + 3*x^6) + E^(x/(3 + x^2 + x^3))*(-216 + 45*x - 144*x^2 - 114*x^3 + 6*x^4 - 43*x^5 - 14*x^6 + 5*x^7))),x]","-\frac{x}{e^{\frac{x}{x^3+x^2+3}}+x-4}","3-\frac{x}{e^{\frac{x}{(x+1) x^2+3}}+x-4}",1,"-(x/(-4 + E^(x/(3 + x^2 + x^3)) + x))","A",1
1089,1,24,26,0.1724339,"\int e^{-x} \left(e^x \left(4+4 e^2+e^4\right)+e^{e^{-x} \left(-x+e^x (2+x)\right)} \left(-4 x+4 x^2+e^4 \left(-x+x^2\right)+e^2 \left(-4 x+4 x^2\right)+e^x \left(4+4 x+e^4 (1+x)+e^2 (4+4 x)\right)\right)\right) \, dx","Integrate[(E^x*(4 + 4*E^2 + E^4) + E^((-x + E^x*(2 + x))/E^x)*(-4*x + 4*x^2 + E^4*(-x + x^2) + E^2*(-4*x + 4*x^2) + E^x*(4 + 4*x + E^4*(1 + x) + E^2*(4 + 4*x))))/E^x,x]","\left(2+e^2\right)^2 \left(e^{-e^{-x} x+x+2}+1\right) x","\left(2+e^2\right)^2 \left(e^{-e^{-x} x+x+2} x+x-3\right)",1,"(2 + E^2)^2*(1 + E^(2 + x - x/E^x))*x","A",1
1090,1,12,20,0.0531312,"\int \frac{(x \log (x))^{x^2} (x+x \log (x)+2 x \log (x) \log (x \log (x)))}{4 \log (x)} \, dx","Integrate[((x*Log[x])^x^2*(x + x*Log[x] + 2*x*Log[x]*Log[x*Log[x]]))/(4*Log[x]),x]","\frac{1}{4} (x \log (x))^{x^2}","\frac{1}{4} (x \log (x))^{x^2}+e^{\sqrt[3]{2}}",1,"(x*Log[x])^x^2/4","A",1
1091,1,30,19,0.2859018,"\int \frac{e^{-8+4 x} \left(4 x^3-4 x^4\right)}{e^{-16+8 x}+x^8-2 x^8 \log (3)+x^8 \log ^2(3)+e^{-8+4 x} \left(2 x^4-2 x^4 \log (3)\right)} \, dx","Integrate[(E^(-8 + 4*x)*(4*x^3 - 4*x^4))/(E^(-16 + 8*x) + x^8 - 2*x^8*Log[3] + x^8*Log[3]^2 + E^(-8 + 4*x)*(2*x^4 - 2*x^4*Log[3])),x]","-\frac{4 e^8 x^4}{4 e^8 x^4 (\log (3)-1)-4 e^{4 x}}","\frac{1}{\frac{e^{4 x-8}}{x^4}+1-\log (3)}",1,"(-4*E^8*x^4)/(-4*E^(4*x) + 4*E^8*x^4*(-1 + Log[3]))","A",1
1092,1,49,28,0.3435452,"\int \frac{\exp \left(\frac{25 x^2-40 x^3+6 x^4+8 x^5+x^6+\left(-110 x+278 x^2-90 x^3-70 x^4-8 x^5\right) \log ^2(x)+\left(121-418 x+273 x^2+152 x^3+16 x^4\right) \log ^4(x)}{x^2-2 x^3+x^4+\left(-2 x+10 x^2-8 x^3\right) \log ^2(x)+\left(1-8 x+16 x^2\right) \log ^4(x)}\right) \left(10 x^3-28 x^4+24 x^5-4 x^6-2 x^7+\left(-120 x+216 x^2-72 x^3-24 x^4\right) \log (x)+\left(60 x-210 x^2+282 x^3-222 x^4+66 x^5+24 x^6\right) \log ^2(x)+\left(264-720 x+360 x^2+96 x^3\right) \log ^3(x)+\left(-132+786 x-984 x^2+618 x^3-336 x^4-96 x^5\right) \log ^4(x)+\left(-550+1126 x-456 x^2+544 x^3+128 x^4\right) \log ^6(x)\right)}{x^3-3 x^4+3 x^5-x^6+\left(-3 x^2+18 x^3-27 x^4+12 x^5\right) \log ^2(x)+\left(3 x-27 x^2+72 x^3-48 x^4\right) \log ^4(x)+\left(-1+12 x-48 x^2+64 x^3\right) \log ^6(x)} \, dx","Integrate[(E^((25*x^2 - 40*x^3 + 6*x^4 + 8*x^5 + x^6 + (-110*x + 278*x^2 - 90*x^3 - 70*x^4 - 8*x^5)*Log[x]^2 + (121 - 418*x + 273*x^2 + 152*x^3 + 16*x^4)*Log[x]^4)/(x^2 - 2*x^3 + x^4 + (-2*x + 10*x^2 - 8*x^3)*Log[x]^2 + (1 - 8*x + 16*x^2)*Log[x]^4))*(10*x^3 - 28*x^4 + 24*x^5 - 4*x^6 - 2*x^7 + (-120*x + 216*x^2 - 72*x^3 - 24*x^4)*Log[x] + (60*x - 210*x^2 + 282*x^3 - 222*x^4 + 66*x^5 + 24*x^6)*Log[x]^2 + (264 - 720*x + 360*x^2 + 96*x^3)*Log[x]^3 + (-132 + 786*x - 984*x^2 + 618*x^3 - 336*x^4 - 96*x^5)*Log[x]^4 + (-550 + 1126*x - 456*x^2 + 544*x^3 + 128*x^4)*Log[x]^6))/(x^3 - 3*x^4 + 3*x^5 - x^6 + (-3*x^2 + 18*x^3 - 27*x^4 + 12*x^5)*Log[x]^2 + (3*x - 27*x^2 + 72*x^3 - 48*x^4)*Log[x]^4 + (-1 + 12*x - 48*x^2 + 64*x^3)*Log[x]^6),x]","\exp \left(\frac{\left(x \left(x^2+4 x-5\right)+\left(-4 x^2-19 x+11\right) \log ^2(x)\right)^2}{\left((x-1) x+(1-4 x) \log ^2(x)\right)^2}\right)","e^{\left(\frac{6}{\frac{x^2-x}{\log ^2(x)}-4 x+1}+x+5\right)^2}",1,"E^((x*(-5 + 4*x + x^2) + (11 - 19*x - 4*x^2)*Log[x]^2)^2/((-1 + x)*x + (1 - 4*x)*Log[x]^2)^2)","A",1
1093,1,16,17,0.0572688,"\int e^{158-1000080 x+1562750010 x^2} \left(2000160+e^{-158+1000080 x-1562750010 x^2}-6251000040 x\right) \, dx","Integrate[E^(158 - 1000080*x + 1562750010*x^2)*(2000160 + E^(-158 + 1000080*x - 1562750010*x^2) - 6251000040*x),x]","x-2 e^{1562750010 x^2-1000080 x+158}","x-2 e^{10 (4-12501 x)^2-2}",1,"-2*E^(158 - 1000080*x + 1562750010*x^2) + x","A",1
1094,1,9,14,0.0005507,"\int -\frac{388129 \log (5)}{32 x^2} \, dx","Integrate[(-388129*Log[5])/(32*x^2),x]","\frac{388129 \log (5)}{32 x}","\frac{x+\frac{388129 \log (5)}{32}}{x}+2",1,"(388129*Log[5])/(32*x)","A",1
1095,1,7,13,0.0034176,"\int 60 e^{-84+60 x} \, dx","Integrate[60*E^(-84 + 60*x),x]","e^{60 x-84}","e^{4 (5 (3 x-4)-1)}",1,"E^(-84 + 60*x)","A",1
1096,1,24,13,0.2909681,"\int \frac{2-5 x+40 \log ^7(2-5 x)}{2 x-5 x^2+(-2+5 x) \log ^8(2-5 x)} \, dx","Integrate[(2 - 5*x + 40*Log[2 - 5*x]^7)/(2*x - 5*x^2 + (-2 + 5*x)*Log[2 - 5*x]^8),x]","\log \left(\frac{1}{5} (5 x-2)-\log ^8(2-5 x)+\frac{2}{5}\right)","\log \left(\log ^8(2-5 x)-x\right)",1,"Log[2/5 + (-2 + 5*x)/5 - Log[2 - 5*x]^8]","A",1
1097,1,30,30,0.4733394,"\int \frac{e^{-x^2} \left(e^{e^{e^{-x^2} x}} \left(e^{x^2} \left(-15+12 x+3 x^2\right)+e^{e^{-x^2} x} \left(-15 x+12 x^2+33 x^3-24 x^4-6 x^5\right)\right)+\left(\frac{-5+4 x+x^2}{x}\right)^{5 x/3} \left(e^{x^2} \left(25+5 x^2\right)+e^{x^2} \left(-25+20 x+5 x^2\right) \log \left(\frac{-5+4 x+x^2}{x}\right)\right)\right)}{-15+12 x+3 x^2} \, dx","Integrate[(E^E^(x/E^x^2)*(E^x^2*(-15 + 12*x + 3*x^2) + E^(x/E^x^2)*(-15*x + 12*x^2 + 33*x^3 - 24*x^4 - 6*x^5)) + ((-5 + 4*x + x^2)/x)^((5*x)/3)*(E^x^2*(25 + 5*x^2) + E^x^2*(-25 + 20*x + 5*x^2)*Log[(-5 + 4*x + x^2)/x]))/(E^x^2*(-15 + 12*x + 3*x^2)),x]","e^{e^{e^{-x^2} x}} x+\left(x-\frac{5}{x}+4\right)^{5 x/3}","e^{e^{e^{-x^2} x}} x+\left(x-\frac{5}{x}+4\right)^{5 x/3}",1,"E^E^(x/E^x^2)*x + (4 - 5/x + x)^((5*x)/3)","A",1
1098,1,27,27,0.3993309,"\int \frac{e^x \left(-12+12 x+512 x^3-128 x^4\right)+e^{\frac{1}{4} (20+3 x)} \left(-12+9 x+512 x^3-96 x^4\right)}{8 e^{2 x}+8 e^{\frac{1}{2} (20+3 x)}+16 e^{x+\frac{1}{4} (20+3 x)}} \, dx","Integrate[(E^x*(-12 + 12*x + 512*x^3 - 128*x^4) + E^((20 + 3*x)/4)*(-12 + 9*x + 512*x^3 - 96*x^4))/(8*E^(2*x) + 8*E^((20 + 3*x)/2) + 16*E^(x + (20 + 3*x)/4)),x]","\frac{x \left(32 x^3-3\right)}{2 \left(e^{\frac{3 x}{4}+5}+e^x\right)}","\frac{16 x^4-\frac{3 x}{2}}{e^{\frac{3 x}{4}+5}+e^x}",1,"(x*(-3 + 32*x^3))/(2*(E^(5 + (3*x)/4) + E^x))","A",1
1099,1,33,29,0.3860612,"\int \frac{\left(-16+32 x-16 x^2+e^x \left(-26-24 x+25 x^2\right)\right) \log (x)+e^x \left(-1-x+x^2\right) \log ^2(x)+(-8+8 x) \log (\log (x))-4 \log (x) \log ^2(\log (x))}{\left(8-16 x+8 x^2\right) \log (x)} \, dx","Integrate[((-16 + 32*x - 16*x^2 + E^x*(-26 - 24*x + 25*x^2))*Log[x] + E^x*(-1 - x + x^2)*Log[x]^2 + (-8 + 8*x)*Log[Log[x]] - 4*Log[x]*Log[Log[x]]^2)/((8 - 16*x + 8*x^2)*Log[x]),x]","\frac{x \left(25 e^x-16 x+4 \log ^2(\log (x))+e^x \log (x)+16\right)}{8 (x-1)}","x \left(\frac{\log ^2(\log (x))+\frac{1}{4} e^x (\log (x)+25)}{2 x-2}-2\right)",1,"(x*(16 + 25*E^x - 16*x + E^x*Log[x] + 4*Log[Log[x]]^2))/(8*(-1 + x))","A",1
1100,1,21,22,0.1020384,"\int \frac{72-18 x-10 x^3+3 x^4+\left(-72+4 x^2+12 x^3\right) \log (x)}{-4 x^3+x^4+4 x^3 \log (x)} \, dx","Integrate[(72 - 18*x - 10*x^3 + 3*x^4 + (-72 + 4*x^2 + 12*x^3)*Log[x])/(-4*x^3 + x^4 + 4*x^3*Log[x]),x]","\frac{9}{x^2}+3 x+\log (x)+\log (-x-4 \log (x)+4)","\frac{9}{x^2}+3 x+\log (x)+\log (x-4 (1-\log (x)))",1,"9/x^2 + 3*x + Log[x] + Log[4 - x - 4*Log[x]]","A",1
1101,1,20,23,0.1615862,"\int \frac{6+e^{2 x}-125 e^9 \log ^2(4)+625 e^{18} \log ^4(4)+e^x \left(-5-x+50 e^9 \log ^2(4)\right)}{9+e^{2 x}-150 e^9 \log ^2(4)+625 e^{18} \log ^4(4)+e^x \left(-6+50 e^9 \log ^2(4)\right)} \, dx","Integrate[(6 + E^(2*x) - 125*E^9*Log[4]^2 + 625*E^18*Log[4]^4 + E^x*(-5 - x + 50*E^9*Log[4]^2))/(9 + E^(2*x) - 150*E^9*Log[4]^2 + 625*E^18*Log[4]^4 + E^x*(-6 + 50*E^9*Log[4]^2)),x]","x+\frac{x}{e^x-3+25 e^9 \log ^2(4)}","x-\frac{x}{-e^x+3-25 e^9 \log ^2(4)}",1,"x + x/(-3 + E^x + 25*E^9*Log[4]^2)","A",1
1102,1,14,15,0.0078113,"\int \frac{1+e^3+e^{5+e^2 x}}{e^3} \, dx","Integrate[(1 + E^3 + E^(5 + E^2*x))/E^3,x]","\frac{x}{e^3}+x+e^{e^2 x}","\frac{x}{e^3}+x+e^{e^2 x}+17",1,"E^(E^2*x) + x + x/E^3","A",1
1103,1,19,31,0.0080955,"\int \frac{-4-48 x-2 x^2-13 x^3-12 x^4}{x^3+12 x^4} \, dx","Integrate[(-4 - 48*x - 2*x^2 - 13*x^3 - 12*x^4)/(x^3 + 12*x^4),x]","\frac{2}{x^2}-x-2 \log (x)+\log (12 x+1)","\frac{2}{x^2}-2 x-\log \left(\frac{e^{-x} x}{\frac{1}{3 x}+4}\right)-3",1,"2/x^2 - x - 2*Log[x] + Log[1 + 12*x]","A",1
1104,1,29,21,0.0067662,"\int \frac{12600 e^2+504 e^5+168 x-504 e^2 \log (5)}{e^4} \, dx","Integrate[(12600*E^2 + 504*E^5 + 168*x - 504*E^2*Log[5])/E^4,x]","\frac{168 \left(\frac{x^2}{2}+3 e^5 x-3 e^2 x (\log (5)-25)\right)}{e^4}","84 \left(\frac{x}{e^2}-3 \left(-25-e^3+\log (5)\right)\right)^2",1,"(168*(3*E^5*x + x^2/2 - 3*E^2*x*(-25 + Log[5])))/E^4","A",1
1105,1,21,34,0.0348042,"\int \left(-1+e^x \left(14-4 x-8 \log (2)+\log ^2(2)\right)\right) \, dx","Integrate[-1 + E^x*(14 - 4*x - 8*Log[2] + Log[2]^2),x]","e^x \left(-4 x+18+\log ^2(2)-8 \log (2)\right)-x","e^x \left(-x^2+(2-x)^2-2+(4-\log (2))^2\right)-x+e^4-3",1,"-x + E^x*(18 - 4*x - 8*Log[2] + Log[2]^2)","A",1
1106,1,17,24,0.0063199,"\int \frac{18-12 x+29 x^2}{54 x^2-36 x^3+6 x^4} \, dx","Integrate[(18 - 12*x + 29*x^2)/(54*x^2 - 36*x^3 + 6*x^4),x]","\frac{1}{6} \left(-\frac{2}{x}-\frac{27}{x-3}\right)","\frac{3 x}{2 (3-x)}-\frac{1}{3 x}-\log (3)",1,"(-27/(-3 + x) - 2/x)/6","A",1
1107,1,17,22,0.0967222,"\int \frac{6-12 x^3}{\left(x+3 x^2+x^4\right) \log \left(\frac{5 x}{1+3 x+x^3}\right)} \, dx","Integrate[(6 - 12*x^3)/((x + 3*x^2 + x^4)*Log[(5*x)/(1 + 3*x + x^3)]),x]","6 \log \left(\log \left(\frac{5 x}{x^3+3 x+1}\right)\right)","6 \log \left(\log \left(\frac{5}{x^2+\frac{1-x}{x}+4}\right)\right)",1,"6*Log[Log[(5*x)/(1 + 3*x + x^3)]]","A",1
1108,1,23,27,0.0457656,"\int \frac{400+480 x-48 x^2+e^x \left(-80-80 x+16 x^2\right)}{125-50 x+5 x^2} \, dx","Integrate[(400 + 480*x - 48*x^2 + E^x*(-80 - 80*x + 16*x^2))/(125 - 50*x + 5*x^2),x]","\frac{16 \left(-3 x^2+\left(e^x+15\right) x-100\right)}{5 (x-5)}","\frac{16 \left(\frac{5-e^x}{x}+3\right) x^2}{5 (5-x)}",1,"(16*(-100 + (15 + E^x)*x - 3*x^2))/(5*(-5 + x))","A",1
1109,1,31,32,0.053283,"\int \frac{-288-152 x+65 x^2+20 x^3-5 x^4+e^{x-x^2} \left(-64+96 x+76 x^2-20 x^3-9 x^4+2 x^5\right)}{64+32 x-12 x^2-4 x^3+x^4} \, dx","Integrate[(-288 - 152*x + 65*x^2 + 20*x^3 - 5*x^4 + E^(x - x^2)*(-64 + 96*x + 76*x^2 - 20*x^3 - 9*x^4 + 2*x^5))/(64 + 32*x - 12*x^2 - 4*x^3 + x^4),x]","\frac{-5 x-4}{x^2-2 x-8}-e^{x-x^2}-5 x","-e^{x-x^2}+\frac{x}{2 (x+2)}-5 x-\frac{4}{x-4}",1,"-E^(x - x^2) - 5*x + (-4 - 5*x)/(-8 - 2*x + x^2)","A",1
1110,1,15,15,0.2766081,"\int \frac{e^x (-1-x)+5 x+10 x \log (x)}{e^{2 x} x^2-10 e^x x^3 \log (x)+25 x^4 \log ^2(x)} \, dx","Integrate[(E^x*(-1 - x) + 5*x + 10*x*Log[x])/(E^(2*x)*x^2 - 10*E^x*x^3*Log[x] + 25*x^4*Log[x]^2),x]","\frac{1}{e^x x-5 x^2 \log (x)}","\frac{1}{x \left(e^x-5 x \log (x)\right)}",1,"(E^x*x - 5*x^2*Log[x])^(-1)","A",1
1111,1,18,20,0.0452239,"\int \frac{e^{1+x+x^2} \left(-1-x-x^2-2 x^3\right)+e^{1+x+x^2} \left(-x-2 x^2\right) \log (x)}{x \log (5)} \, dx","Integrate[(E^(1 + x + x^2)*(-1 - x - x^2 - 2*x^3) + E^(1 + x + x^2)*(-x - 2*x^2)*Log[x])/(x*Log[5]),x]","-\frac{e^{x^2+x+1} (x+\log (x))}{\log (5)}","6-\frac{e^{x^2+x+1} (x+\log (x))}{\log (5)}",1,"-((E^(1 + x + x^2)*(x + Log[x]))/Log[5])","A",1
1112,1,23,20,0.1701353,"\int \frac{450+4608 x+(-100-2688 x) \log \left(x^3\right)+(5+584 x) \log ^2\left(x^3\right)-56 x \log ^3\left(x^3\right)+2 x \log ^4\left(x^3\right)}{2304-1344 \log \left(x^3\right)+292 \log ^2\left(x^3\right)-28 \log ^3\left(x^3\right)+\log ^4\left(x^3\right)} \, dx","Integrate[(450 + 4608*x + (-100 - 2688*x)*Log[x^3] + (5 + 584*x)*Log[x^3]^2 - 56*x*Log[x^3]^3 + 2*x*Log[x^3]^4)/(2304 - 1344*Log[x^3] + 292*Log[x^3]^2 - 28*Log[x^3]^3 + Log[x^3]^4),x]","\frac{5 x}{\log ^2\left(x^3\right)-14 \log \left(x^3\right)+48}+x^2","x \left(\frac{5}{\left(7-\log \left(x^3\right)\right)^2-1}+x\right)",1,"x^2 + (5*x)/(48 - 14*Log[x^3] + Log[x^3]^2)","A",1
1113,1,16,19,0.1078978,"\int \frac{e^{2 x} (-1+x)-x^2+x^3+e^x \left(-3 x+3 x^2\right)}{e^{2 x} x+2 e^x x^2+x^3} \, dx","Integrate[(E^(2*x)*(-1 + x) - x^2 + x^3 + E^x*(-3*x + 3*x^2))/(E^(2*x)*x + 2*E^x*x^2 + x^3),x]","-\frac{x}{x+e^x}+x-\log (x)","-\frac{x}{x+e^x}+x-\log (x)+\frac{31}{2}",1,"x - x/(E^x + x) - Log[x]","A",1
1114,1,24,22,0.0163032,"\int \frac{e^{-4 e^5} \left(-2 e^{4 e^5} x^2-\log (3)\right)}{x^2 \log (5)} \, dx","Integrate[(-2*E^(4*E^5)*x^2 - Log[3])/(E^(4*E^5)*x^2*Log[5]),x]","-\frac{2 x-\frac{e^{-4 e^5} \log (3)}{x}}{\log (5)}","\frac{\frac{e^{-4 e^5} \log (3)}{x}-2 x}{\log (5)}",1,"-((2*x - Log[3]/(E^(4*E^5)*x))/Log[5])","A",1
1115,1,35,34,0.2382988,"\int \frac{e^2 \left(5 x^2+4 x^3\right)+e^{e^6 x^2-2 e^3 x^3+x^4} \left(e^8 \left(50 x^2+80 x^3+32 x^4\right)+e^5 \left(-150 x^3-240 x^4-96 x^5\right)+e^2 \left(25+40 x+16 x^2+100 x^4+160 x^5+64 x^6\right)\right)+e^2 \left(15 x^2+8 x^3\right) \log (x)}{25+40 x+16 x^2} \, dx","Integrate[(E^2*(5*x^2 + 4*x^3) + E^(E^6*x^2 - 2*E^3*x^3 + x^4)*(E^8*(50*x^2 + 80*x^3 + 32*x^4) + E^5*(-150*x^3 - 240*x^4 - 96*x^5) + E^2*(25 + 40*x + 16*x^2 + 100*x^4 + 160*x^5 + 64*x^6)) + E^2*(15*x^2 + 8*x^3)*Log[x])/(25 + 40*x + 16*x^2),x]","e^2 \left(\frac{x^3 \log (x)}{4 x+5}+e^{\left(e^3-x\right)^2 x^2} x\right)","e^2 x \left(e^{\left(e^3-x\right)^2 x^2}+\frac{x^2 \log (x)}{4 x+5}\right)",1,"E^2*(E^((E^3 - x)^2*x^2)*x + (x^3*Log[x])/(5 + 4*x))","A",1
1116,0,0,31,0.5189853,"\int \frac{4+4 \log \left(\frac{5 \log (3)}{e^2 x}\right)+(-4-8 x) \log ^2\left(\frac{5 \log (3)}{e^2 x}\right)+\left(-2-2 \log \left(\frac{5 \log (3)}{e^2 x}\right)+(2+4 x) \log ^2\left(\frac{5 \log (3)}{e^2 x}\right)\right) \log \left(\frac{x+\left(-x-x^2\right) \log \left(\frac{5 \log (3)}{e^2 x}\right)}{\log \left(\frac{5 \log (3)}{e^2 x}\right)}\right)}{-x \log \left(\frac{5 \log (3)}{e^2 x}\right)+\left(x+x^2\right) \log ^2\left(\frac{5 \log (3)}{e^2 x}\right)} \, dx","Integrate[(4 + 4*Log[(5*Log[3])/(E^2*x)] + (-4 - 8*x)*Log[(5*Log[3])/(E^2*x)]^2 + (-2 - 2*Log[(5*Log[3])/(E^2*x)] + (2 + 4*x)*Log[(5*Log[3])/(E^2*x)]^2)*Log[(x + (-x - x^2)*Log[(5*Log[3])/(E^2*x)])/Log[(5*Log[3])/(E^2*x)]])/(-(x*Log[(5*Log[3])/(E^2*x)]) + (x + x^2)*Log[(5*Log[3])/(E^2*x)]^2),x]","\int \frac{4+4 \log \left(\frac{5 \log (3)}{e^2 x}\right)+(-4-8 x) \log ^2\left(\frac{5 \log (3)}{e^2 x}\right)+\left(-2-2 \log \left(\frac{5 \log (3)}{e^2 x}\right)+(2+4 x) \log ^2\left(\frac{5 \log (3)}{e^2 x}\right)\right) \log \left(\frac{x+\left(-x-x^2\right) \log \left(\frac{5 \log (3)}{e^2 x}\right)}{\log \left(\frac{5 \log (3)}{e^2 x}\right)}\right)}{-x \log \left(\frac{5 \log (3)}{e^2 x}\right)+\left(x+x^2\right) \log ^2\left(\frac{5 \log (3)}{e^2 x}\right)} \, dx","\left(2-\log \left(-x^2-x+\frac{x}{\log \left(\frac{5 \log (3)}{e^2 x}\right)}\right)\right)^2",1,"Integrate[(4 + 4*Log[(5*Log[3])/(E^2*x)] + (-4 - 8*x)*Log[(5*Log[3])/(E^2*x)]^2 + (-2 - 2*Log[(5*Log[3])/(E^2*x)] + (2 + 4*x)*Log[(5*Log[3])/(E^2*x)]^2)*Log[(x + (-x - x^2)*Log[(5*Log[3])/(E^2*x)])/Log[(5*Log[3])/(E^2*x)]])/(-(x*Log[(5*Log[3])/(E^2*x)]) + (x + x^2)*Log[(5*Log[3])/(E^2*x)]^2), x]","F",-1
1117,1,45,23,0.0218339,"\int \frac{4 x-6 x^2+24 x^3+(-1+4 x) \log \left(\frac{1}{2} \left(-x+4 x^2\right)\right)}{-1+4 x} \, dx","Integrate[(4*x - 6*x^2 + 24*x^3 + (-1 + 4*x)*Log[(-x + 4*x^2)/2])/(-1 + 4*x),x]","2 x^3-x+x \log \left(\frac{1}{2} x (4 x-1)\right)-\frac{1}{4} \log (1-4 x)+\frac{1}{4} \log (4 x-1)-\frac{9}{32}","x \left(2 x^2+\log \left(\frac{1}{2} x (4 x-1)\right)\right)-x",1,"-9/32 - x + 2*x^3 - Log[1 - 4*x]/4 + Log[-1 + 4*x]/4 + x*Log[(x*(-1 + 4*x))/2]","A",1
1118,1,24,24,0.013209,"\int \frac{-12-3 x-9 x^3-2 (i \pi +\log (4))}{9 x^3} \, dx","Integrate[(-12 - 3*x - 9*x^3 - 2*(I*Pi + Log[4]))/(9*x^3),x]","\frac{-18 x^3+6 x+2 i \pi +12+\log (16)}{18 x^2}","-x+\frac{3 (x+2)+i \pi +\log (4)}{9 x^2}",1,"(12 + (2*I)*Pi + 6*x - 18*x^3 + Log[16])/(18*x^2)","A",1
1119,1,25,24,0.1094436,"\int \frac{-\frac{16 e^{2 x}}{x}-\frac{4 e^{e^x+2 x}}{x}+\left(32 e^{2 x} \log (x)+\frac{e^{e^x+2 x} \left(8 x^2+4 e^x x^2\right) \log (x)}{x^2}\right) \log (\log (x))+\left(\frac{e^{2 x} \left(4 x^2+8 x^3\right) \log (x)}{x^2}+\frac{e^{e^x+2 x} \left(x^2+2 x^3+e^x x^3\right) \log (x)}{x^2}\right) \log ^2(\log (x))}{\log (x) \log ^2(\log (x))} \, dx","Integrate[((-16*E^(2*x))/x - (4*E^(E^x + 2*x))/x + (32*E^(2*x)*Log[x] + (E^(E^x + 2*x)*(8*x^2 + 4*E^x*x^2)*Log[x])/x^2)*Log[Log[x]] + ((E^(2*x)*(4*x^2 + 8*x^3)*Log[x])/x^2 + (E^(E^x + 2*x)*(x^2 + 2*x^3 + E^x*x^3)*Log[x])/x^2)*Log[Log[x]]^2)/(Log[x]*Log[Log[x]]^2),x]","\frac{e^{2 x} \left(e^{e^x}+4\right) (x \log (\log (x))+4)}{\log (\log (x))}","e^{2 x} \left(e^{e^x}+4\right) \left(x+\frac{4}{\log (\log (x))}\right)+5",1,"(E^(2*x)*(4 + E^E^x)*(4 + x*Log[Log[x]]))/Log[Log[x]]","A",1
1120,1,14,15,0.0057089,"\int \frac{25}{4} e^{\frac{1}{4} \left(-36-100 e^3+25 x\right)} \, dx","Integrate[(25*E^((-36 - 100*E^3 + 25*x)/4))/4,x]","e^{\frac{25 x}{4}-25 e^3-9}","e^{-25 \left(e^3-\frac{x}{4}\right)-9}",1,"E^(-9 - 25*E^3 + (25*x)/4)","A",1
1121,0,0,33,2.5040091,"\int \frac{e^x \left(\left(-6 x^3+21 x^4-12 x^5-12 x^6+e^8 \left(-6 x-3 x^2\right)+e^4 \left(12 x^2-18 x^3-12 x^4\right)\right) \log (4)+\left(2 x^4-2 e^4 x^4-6 x^5-4 x^6\right) \log ^2(4)\right)}{9 e^8+9 x^2-36 x^3+36 x^4+e^4 \left(-18 x+36 x^2\right)+\left(12 e^4 x^2-12 x^3+24 x^4\right) \log (4)+4 x^4 \log ^2(4)} \, dx","Integrate[(E^x*((-6*x^3 + 21*x^4 - 12*x^5 - 12*x^6 + E^8*(-6*x - 3*x^2) + E^4*(12*x^2 - 18*x^3 - 12*x^4))*Log[4] + (2*x^4 - 2*E^4*x^4 - 6*x^5 - 4*x^6)*Log[4]^2))/(9*E^8 + 9*x^2 - 36*x^3 + 36*x^4 + E^4*(-18*x + 36*x^2) + (12*E^4*x^2 - 12*x^3 + 24*x^4)*Log[4] + 4*x^4*Log[4]^2),x]","\int \frac{e^x \left(\left(-6 x^3+21 x^4-12 x^5-12 x^6+e^8 \left(-6 x-3 x^2\right)+e^4 \left(12 x^2-18 x^3-12 x^4\right)\right) \log (4)+\left(2 x^4-2 e^4 x^4-6 x^5-4 x^6\right) \log ^2(4)\right)}{9 e^8+9 x^2-36 x^3+36 x^4+e^4 \left(-18 x+36 x^2\right)+\left(12 e^4 x^2-12 x^3+24 x^4\right) \log (4)+4 x^4 \log ^2(4)} \, dx","\frac{e^x x^2}{\frac{2}{\frac{x-e^4}{x^2}-2}-\frac{3}{\log (4)}}",1,"Integrate[(E^x*((-6*x^3 + 21*x^4 - 12*x^5 - 12*x^6 + E^8*(-6*x - 3*x^2) + E^4*(12*x^2 - 18*x^3 - 12*x^4))*Log[4] + (2*x^4 - 2*E^4*x^4 - 6*x^5 - 4*x^6)*Log[4]^2))/(9*E^8 + 9*x^2 - 36*x^3 + 36*x^4 + E^4*(-18*x + 36*x^2) + (12*E^4*x^2 - 12*x^3 + 24*x^4)*Log[4] + 4*x^4*Log[4]^2), x]","F",-1
1122,1,24,18,0.4922331,"\int \frac{e^{\frac{49+1134 x^7+6561 e^x x^{12}+6561 x^{13}+6561 x^{14}}{6561 x^{12}}} \left(-196-1890 x^7+2187 x^{13}+2187 e^x x^{13}+4374 x^{14}\right)}{2187 x^{13}} \, dx","Integrate[(E^((49 + 1134*x^7 + 6561*E^x*x^12 + 6561*x^13 + 6561*x^14)/(6561*x^12))*(-196 - 1890*x^7 + 2187*x^13 + 2187*E^x*x^13 + 4374*x^14))/(2187*x^13),x]","e^{\frac{49}{6561 x^{12}}+\frac{14}{81 x^5}+x^2+x+e^x}","e^{\left(\frac{7}{81 x^6}+x\right)^2+e^x+x}",1,"E^(E^x + 49/(6561*x^12) + 14/(81*x^5) + x + x^2)","A",1
1123,1,31,34,0.1163425,"\int \frac{4+\left(-4 x+2 e^5 x^3-6 e^8 x^5\right) \log (x)+\left(-2 e^5 x^2+6 e^8 x^4\right) \log (x) \log (\log (x))+(2 x \log (x)-2 \log (x) \log (\log (x))) \log \left(x^2-2 x \log (\log (x))+\log ^2(\log (x))\right)}{\left(-e^{10} x^5+2 e^{13} x^7-e^{16} x^9\right) \log (x)+\left(e^{10} x^4-2 e^{13} x^6+e^{16} x^8\right) \log (x) \log (\log (x))+\left(\left(2 e^5 x^3-2 e^8 x^5\right) \log (x)+\left(-2 e^5 x^2+2 e^8 x^4\right) \log (x) \log (\log (x))\right) \log \left(x^2-2 x \log (\log (x))+\log ^2(\log (x))\right)+(-x \log (x)+\log (x) \log (\log (x))) \log ^2\left(x^2-2 x \log (\log (x))+\log ^2(\log (x))\right)} \, dx","Integrate[(4 + (-4*x + 2*E^5*x^3 - 6*E^8*x^5)*Log[x] + (-2*E^5*x^2 + 6*E^8*x^4)*Log[x]*Log[Log[x]] + (2*x*Log[x] - 2*Log[x]*Log[Log[x]])*Log[x^2 - 2*x*Log[Log[x]] + Log[Log[x]]^2])/((-(E^10*x^5) + 2*E^13*x^7 - E^16*x^9)*Log[x] + (E^10*x^4 - 2*E^13*x^6 + E^16*x^8)*Log[x]*Log[Log[x]] + ((2*E^5*x^3 - 2*E^8*x^5)*Log[x] + (-2*E^5*x^2 + 2*E^8*x^4)*Log[x]*Log[Log[x]])*Log[x^2 - 2*x*Log[Log[x]] + Log[Log[x]]^2] + (-(x*Log[x]) + Log[x]*Log[Log[x]])*Log[x^2 - 2*x*Log[Log[x]] + Log[Log[x]]^2]^2),x]","-\frac{2 x}{e^8 x^4-e^5 x^2+\log \left((x-\log (\log (x)))^2\right)}","\frac{2 x}{x^2 \left(e^5-e^8 x^2\right)-\log \left((x-\log (\log (x)))^2\right)}",1,"(-2*x)/(-(E^5*x^2) + E^8*x^4 + Log[(x - Log[Log[x]])^2])","A",1
1124,1,54,27,0.3308751,"\int \frac{\exp \left(2 e^6-4 e^3 x+2 x^2+2 \left(-2 e^3+2 x\right) \log \left(-2+x^2+\log \left(2-e^x\right)\right)+2 \log ^2\left(-2+x^2+\log \left(2-e^x\right)\right)\right) \left(16 x-16 x^2-8 x^3+e^3 \left(-16+16 x+8 x^2\right)+e^x \left(-4 x+8 x^2+4 x^3+e^3 \left(4-8 x-4 x^2\right)\right)+\left(8 e^3-8 x+e^x \left(-4 e^3+4 x\right)\right) \log \left(2-e^x\right)+\left(16-16 x-8 x^2+e^x \left(-4+8 x+4 x^2\right)+\left(-8+4 e^x\right) \log \left(2-e^x\right)\right) \log \left(-2+x^2+\log \left(2-e^x\right)\right)\right)}{4-2 x^2+e^x \left(-2+x^2\right)+\left(-2+e^x\right) \log \left(2-e^x\right)} \, dx","Integrate[(E^(2*E^6 - 4*E^3*x + 2*x^2 + 2*(-2*E^3 + 2*x)*Log[-2 + x^2 + Log[2 - E^x]] + 2*Log[-2 + x^2 + Log[2 - E^x]]^2)*(16*x - 16*x^2 - 8*x^3 + E^3*(-16 + 16*x + 8*x^2) + E^x*(-4*x + 8*x^2 + 4*x^3 + E^3*(4 - 8*x - 4*x^2)) + (8*E^3 - 8*x + E^x*(-4*E^3 + 4*x))*Log[2 - E^x] + (16 - 16*x - 8*x^2 + E^x*(-4 + 8*x + 4*x^2) + (-8 + 4*E^x)*Log[2 - E^x])*Log[-2 + x^2 + Log[2 - E^x]]))/(4 - 2*x^2 + E^x*(-2 + x^2) + (-2 + E^x)*Log[2 - E^x]),x]","\left(x^2+\log \left(2-e^x\right)-2\right)^{4 x-4 e^3} \exp \left(2 \left(\log ^2\left(x^2+\log \left(2-e^x\right)-2\right)+\left(e^3-x\right)^2\right)\right)","e^{2 \left(\log \left(x^2+\log \left(2-e^x\right)-2\right)+x-e^3\right)^2}",1,"E^(2*((E^3 - x)^2 + Log[-2 + x^2 + Log[2 - E^x]]^2))*(-2 + x^2 + Log[2 - E^x])^(-4*E^3 + 4*x)","A",1
1125,1,35,32,0.4229096,"\int \frac{\exp \left(\frac{8-6 x+5 x^2-x^3-x^4+e^{4 e^{x^2} x} \left(4-5 x+x^2+x^3\right)}{e^{4 e^{x^2} x} (-4+x)+4 x-x^2}\right) \left(-32+16 x+14 x^2-8 x^3-11 x^4+2 x^5+e^{8 e^{x^2} x} \left(16-8 x-11 x^2+2 x^3\right)+e^{4 e^{x^2} x} \left(-32 x+16 x^2+22 x^3-4 x^4+e^{x^2} \left(128-64 x+264 x^2-128 x^3+16 x^4\right)\right)\right)}{16 x^2-8 x^3+x^4+e^{8 e^{x^2} x} \left(16-8 x+x^2\right)+e^{4 e^{x^2} x} \left(-32 x+16 x^2-2 x^3\right)} \, dx","Integrate[(E^((8 - 6*x + 5*x^2 - x^3 - x^4 + E^(4*E^x^2*x)*(4 - 5*x + x^2 + x^3))/(E^(4*E^x^2*x)*(-4 + x) + 4*x - x^2))*(-32 + 16*x + 14*x^2 - 8*x^3 - 11*x^4 + 2*x^5 + E^(8*E^x^2*x)*(16 - 8*x - 11*x^2 + 2*x^3) + E^(4*E^x^2*x)*(-32*x + 16*x^2 + 22*x^3 - 4*x^4 + E^x^2*(128 - 64*x + 264*x^2 - 128*x^3 + 16*x^4))))/(16*x^2 - 8*x^3 + x^4 + E^(8*E^x^2*x)*(16 - 8*x + x^2) + E^(4*E^x^2*x)*(-32*x + 16*x^2 - 2*x^3)),x]","e^{x^2-\frac{2}{e^{4 e^{x^2} x}-x}+5 x+\frac{64}{x-4}+15}","e^{\frac{x^3}{x-4}-\frac{2}{e^{4 e^{x^2} x}-x}+x-1}",1,"E^(15 - 2/(E^(4*E^x^2*x) - x) + 64/(-4 + x) + 5*x + x^2)","A",1
1126,1,9,15,0.0014662,"\int \frac{2+6 x+3 e^3 (1+3 x)}{3+9 x} \, dx","Integrate[(2 + 6*x + 3*E^3*(1 + 3*x))/(3 + 9*x),x]","\left(\frac{2}{3}+e^3\right) x","\frac{2 x}{3}+e^3 \left(x+\frac{1}{3}\right)",1,"(2/3 + E^3)*x","A",1
1127,1,26,28,0.0543061,"\int \frac{5160 x-7380 x^2+2200 x^3+100 x^4+e^{2 x} (20000+800 x)+e^x \left(10320+400 x-5000 x^2-200 x^3\right)+\left(2064-1920 x-80 x^2+e^x (4000+160 x)\right) \log \left(625+50 x+x^2\right)}{625+25 x} \, dx","Integrate[(5160*x - 7380*x^2 + 2200*x^3 + 100*x^4 + E^(2*x)*(20000 + 800*x) + E^x*(10320 + 400*x - 5000*x^2 - 200*x^3) + (2064 - 1920*x - 80*x^2 + E^x*(4000 + 160*x))*Log[625 + 50*x + x^2])/(625 + 25*x),x]","\frac{1}{25} \left(-5 (x-2) x+20 e^x+4 \log \left((x+25)^2\right)\right)^2","16 \left(\frac{1}{4} (x-2) x-e^x-\frac{1}{5} \log \left((x+25)^2\right)\right)^2",1,"(20*E^x - 5*(-2 + x)*x + 4*Log[(25 + x)^2])^2/25","A",1
1128,1,12,20,0.0000656,"\int -\frac{180}{3+e^{5/4}} \, dx","Integrate[-180/(3 + E^(5/4)),x]","-\frac{180 x}{3+e^{5/4}}","9 \left(\frac{20 (81-x)}{3+e^{5/4}}-2\right)",1,"(-180*x)/(3 + E^(5/4))","A",1
1129,1,27,23,0.0809168,"\int \frac{-2 x+x \log (x)+\left(2 e^x+8 x\right) \log ^3(x)+\left(2 x+2 e^x x\right) \log ^3(x) \log (10 x)}{x \log ^3(x)} \, dx","Integrate[(-2*x + x*Log[x] + (2*E^x + 8*x)*Log[x]^3 + (2*x + 2*E^x*x)*Log[x]^3*Log[10*x])/(x*Log[x]^3),x]","6 x+\frac{x}{\log ^2(x)}+\frac{1}{5} \left(10 x+10 e^x\right) \log (10 x)","6 (x-4)+\frac{x}{\log ^2(x)}+2 \left(x+e^x\right) \log (10 x)",1,"6*x + x/Log[x]^2 + ((10*E^x + 10*x)*Log[10*x])/5","A",1
1130,1,22,23,0.0515775,"\int \frac{\left(-40+50 x+15 x^2+(4+x) \log \left(\frac{5}{2}\right)\right) \log (4+x)+\left(-10 x+5 x^2+x \log \left(\frac{5}{2}\right)\right) \log \left(\frac{1}{25} \left(100 x-100 x^2+25 x^3+\left(-20 x+10 x^2\right) \log \left(\frac{5}{2}\right)+x \log ^2\left(\frac{5}{2}\right)\right)\right)}{-40 x+10 x^2+5 x^3+\left(4 x+x^2\right) \log \left(\frac{5}{2}\right)} \, dx","Integrate[((-40 + 50*x + 15*x^2 + (4 + x)*Log[5/2])*Log[4 + x] + (-10*x + 5*x^2 + x*Log[5/2])*Log[(100*x - 100*x^2 + 25*x^3 + (-20*x + 10*x^2)*Log[5/2] + x*Log[5/2]^2)/25])/(-40*x + 10*x^2 + 5*x^3 + (4*x + x^2)*Log[5/2]),x]","\log (x+4) \log \left(\frac{1}{25} x \left(5 x-10+\log \left(\frac{5}{2}\right)\right)^2\right)","\log (x+4) \log \left(x \left(-x+2-\frac{1}{5} \log \left(\frac{5}{2}\right)\right)^2\right)",1,"Log[4 + x]*Log[(x*(-10 + 5*x + Log[5/2])^2)/25]","A",1
1131,1,14,25,0.0347777,"\int \left(e^x (8+4 x)+e^x (-2-2 x) \log (x)\right) \, dx","Integrate[E^x*(8 + 4*x) + E^x*(-2 - 2*x)*Log[x],x]","-2 e^x (-2 x+x \log (x)-3)","2 e^x \left(5-x \left(\frac{2 \left(x-x^2\right)}{x^2}+\log (x)\right)\right)",1,"-2*E^x*(-3 - 2*x + x*Log[x])","A",1
1132,1,15,16,0.0176156,"\int \frac{-2 x-10 x^2+2 e^{\log ^2(x)} \log (x)}{x} \, dx","Integrate[(-2*x - 10*x^2 + 2*E^Log[x]^2*Log[x])/x,x]","-5 x^2-2 x+e^{\log ^2(x)}","-5 x^2-2 x+e^{\log ^2(x)}+3",1,"E^Log[x]^2 - 2*x - 5*x^2","A",1
1133,1,65,26,0.2281577,"\int \frac{-41 x^2+40 x^3+e^x \left(41 x-32 x^2-8 x^3\right)+\left(50 x-58 x^2+e^x \left(-50+40 x+18 x^2\right)\right) \log (x)+\left(10 x-10 e^x x\right) \log ^2(x)+\left(-18 x^2+18 x^3+e^x \left(18 x-16 x^2-2 x^3\right)+\left(20 x-22 x^2+e^x \left(-20+18 x+4 x^2\right)\right) \log (x)+\left(2 x-2 e^x x\right) \log ^2(x)\right) \log \left(-e^x+x\right)+\left(-2 x^2+2 x^3+e^x \left(2 x-2 x^2\right)+\left(2 x-2 x^2+e^x (-2+2 x)\right) \log (x)\right) \log ^2\left(-e^x+x\right)}{e^x x-x^2} \, dx","Integrate[(-41*x^2 + 40*x^3 + E^x*(41*x - 32*x^2 - 8*x^3) + (50*x - 58*x^2 + E^x*(-50 + 40*x + 18*x^2))*Log[x] + (10*x - 10*E^x*x)*Log[x]^2 + (-18*x^2 + 18*x^3 + E^x*(18*x - 16*x^2 - 2*x^3) + (20*x - 22*x^2 + E^x*(-20 + 18*x + 4*x^2))*Log[x] + (2*x - 2*E^x*x)*Log[x]^2)*Log[-E^x + x] + (-2*x^2 + 2*x^3 + E^x*(2*x - 2*x^2) + (2*x - 2*x^2 + E^x*(-2 + 2*x))*Log[x])*Log[-E^x + x]^2)/(E^x*x - x^2),x]","-16 x^2-2 \left(4 x^2+5 \log ^2(x)-9 x \log (x)\right) \log \left(x-e^x\right)+x-25 \log ^2(x)-(x-\log (x))^2 \log ^2\left(x-e^x\right)+40 x \log (x)","x-\left(x+(\log (x)-x) \left(\log \left(x-e^x\right)+5\right)\right)^2+1",1,"x - 16*x^2 + 40*x*Log[x] - 25*Log[x]^2 - 2*(4*x^2 - 9*x*Log[x] + 5*Log[x]^2)*Log[-E^x + x] - (x - Log[x])^2*Log[-E^x + x]^2","B",1
1134,1,17,12,0.0017604,"\int \frac{297+e^3+297 \log (2 x)}{e^3} \, dx","Integrate[(297 + E^3 + 297*Log[2*x])/E^3,x]","\frac{e^3 x+297 x \log (2 x)}{e^3}","x+\frac{297 x \log (2 x)}{e^3}",1,"(E^3*x + 297*x*Log[2*x])/E^3","A",1
1135,1,15,15,0.0058633,"\int \frac{64 \log ^2(1+e-\log (16))}{x \log (x)} \, dx","Integrate[(64*Log[1 + E - Log[16]]^2)/(x*Log[x]),x]","64 \log ^2(1+e-\log (16)) \log (\log (x))","64 \log ^2(1+e-\log (16)) \log (\log (x))",1,"64*Log[1 + E - Log[16]]^2*Log[Log[x]]","A",1
1136,1,28,25,0.0690814,"\int \frac{-1-2 x \log (2 x)+\log (2 x) \log \left(\frac{5}{\log (4) \log (2 x)}\right)}{192 e^6 \log (2 x)} \, dx","Integrate[(-1 - 2*x*Log[2*x] + Log[2*x]*Log[5/(Log[4]*Log[2*x])])/(192*E^6*Log[2*x]),x]","\frac{x \log \left(\frac{5}{\log (4) \log (2 x)}\right)-x^2}{192 e^6}","\frac{x \left(\log \left(\frac{5}{\log (4) \log (2 x)}\right)-x\right)}{192 e^6}",1,"(-x^2 + x*Log[5/(Log[4]*Log[2*x])])/(192*E^6)","A",1
1137,1,19,19,0.6717324,"\int \frac{\exp \left(\frac{5 x-\log \left(\frac{1}{9} (-100+9 \log (\log (-2+x)))\right)}{x}\right) \left(-9 e^4 x+\left(e^4 (200-100 x) \log (-2+x)+e^4 (-18+9 x) \log (-2+x) \log (\log (-2+x))\right) \log \left(\frac{1}{9} (-100+9 \log (\log (-2+x)))\right)\right)}{\left(200 x^2-100 x^3\right) \log (-2+x)+\left(-18 x^2+9 x^3\right) \log (-2+x) \log (\log (-2+x))} \, dx","Integrate[(E^((5*x - Log[(-100 + 9*Log[Log[-2 + x]])/9])/x)*(-9*E^4*x + (E^4*(200 - 100*x)*Log[-2 + x] + E^4*(-18 + 9*x)*Log[-2 + x]*Log[Log[-2 + x]])*Log[(-100 + 9*Log[Log[-2 + x]])/9]))/((200*x^2 - 100*x^3)*Log[-2 + x] + (-18*x^2 + 9*x^3)*Log[-2 + x]*Log[Log[-2 + x]]),x]","e^9 \left(\log (\log (x-2))-\frac{100}{9}\right)^{-1/x}","e^{9-\frac{\log \left(\log (\log (x-2))-\frac{100}{9}\right)}{x}}",1,"E^9/(-100/9 + Log[Log[-2 + x]])^x^(-1)","A",1
1138,1,24,23,0.02298,"\int \frac{3 e^{e^{3 x}+3 x}+e^5 (-24+24 x)}{e^5} \, dx","Integrate[(3*E^(E^(3*x) + 3*x) + E^5*(-24 + 24*x))/E^5,x]","3 \left(4 x^2-8 x+\frac{1}{3} e^{e^{3 x}-5}\right)","3 \left((2 x-2)^2+e^4\right)+e^{e^{3 x}-5}",1,"3*(E^(-5 + E^(3*x))/3 - 8*x + 4*x^2)","A",1
1139,1,20,18,0.0202375,"\int \frac{6+x+3 \log \left(4 x^2\right)}{180+60 x+5 x^2} \, dx","Integrate[(6 + x + 3*Log[4*x^2])/(180 + 60*x + 5*x^2),x]","\frac{1}{5} \left(\log (x)-\frac{3 \log \left(4 x^2\right)}{x+6}\right)","\frac{x \log \left(4 x^2\right)}{5 (2 x+12)}",1,"(Log[x] - (3*Log[4*x^2])/(6 + x))/5","A",1
1140,1,20,29,1.7477507,"\int \frac{e^{4+9 x+x^2-x \log (4)-x \log (2-x)} \left(-18+4 x+2 x^2+(2-x) \log (4)+(2-x) \log (2-x)\right)}{-2+x} \, dx","Integrate[(E^(4 + 9*x + x^2 - x*Log[4] - x*Log[2 - x])*(-18 + 4*x + 2*x^2 + (2 - x)*Log[4] + (2 - x)*Log[2 - x]))/(-2 + x),x]","e^{x^2+9 x+4} (8-4 x)^{-x}","e^{x+x \left(\frac{(x+2)^2}{x}-\log (2-x)+4-\log (4)\right)}",1,"E^(4 + 9*x + x^2)/(8 - 4*x)^x","A",1
1141,1,31,32,0.1005613,"\int \frac{\left(120+10 e^x-2 x+10 x^2+\left(2 x-10 e^x x-20 x^2\right) \log (x)+40 x \log ^2(x)\right) \log \left(\frac{-60-5 e^x+x-5 x^2+(120+20 x) \log (x)}{20 \log (x)}\right)}{\left(-60 x-5 e^x x+x^2-5 x^3\right) \log (x)+\left(120 x+20 x^2\right) \log ^2(x)} \, dx","Integrate[((120 + 10*E^x - 2*x + 10*x^2 + (2*x - 10*E^x*x - 20*x^2)*Log[x] + 40*x*Log[x]^2)*Log[(-60 - 5*E^x + x - 5*x^2 + (120 + 20*x)*Log[x])/(20*Log[x])])/((-60*x - 5*E^x*x + x^2 - 5*x^3)*Log[x] + (120*x + 20*x^2)*Log[x]^2),x]","\log ^2\left(\frac{-5 x^2+x-5 e^x+20 (x+6) \log (x)-60}{20 \log (x)}\right)","\log ^2\left(-\frac{\frac{1}{4} \left(x^2-\frac{x}{5}+e^x\right)+3}{\log (x)}+x+6\right)-1",1,"Log[(-60 - 5*E^x + x - 5*x^2 + 20*(6 + x)*Log[x])/(20*Log[x])]^2","A",1
1142,1,65,35,0.1351821,"\int \frac{50625+54000 x+20990 x^2+3560 x^3+225 x^4+e^4 \left(81+54 x+12 x^2\right)+e^2 \left(-4050-3510 x-1106 x^2-120 x^3\right)+\left(-16875-18000 x-7050 x^2-1200 x^3-75 x^4+e^4 \left(-27-18 x-3 x^2\right)+e^2 \left(1350+1170 x+330 x^2+30 x^3\right)\right) \log (x)}{16875 x^2+18000 x^3+7050 x^4+1200 x^5+75 x^6+e^4 \left(27 x^2+18 x^3+3 x^4\right)+e^2 \left(-1350 x^2-1170 x^3-330 x^4-30 x^5\right)} \, dx","Integrate[(50625 + 54000*x + 20990*x^2 + 3560*x^3 + 225*x^4 + E^4*(81 + 54*x + 12*x^2) + E^2*(-4050 - 3510*x - 1106*x^2 - 120*x^3) + (-16875 - 18000*x - 7050*x^2 - 1200*x^3 - 75*x^4 + E^4*(-27 - 18*x - 3*x^2) + E^2*(1350 + 1170*x + 330*x^2 + 30*x^3))*Log[x])/(16875*x^2 + 18000*x^3 + 7050*x^4 + 1200*x^5 + 75*x^6 + E^4*(27*x^2 + 18*x^3 + 3*x^4) + E^2*(-1350*x^2 - 1170*x^3 - 330*x^4 - 30*x^5)),x]","\frac{1}{3} \left(-\frac{6}{x}+\frac{-4-3 e^2}{\left(e^2-10\right) (x+3)}+\frac{5 \left(4+3 e^2\right)}{\left(e^2-10\right) \left(5 x-e^2+25\right)}+\frac{3 \log (x)}{x}\right)","\frac{\frac{\left(\frac{4}{3}+e^2\right) x}{(x+3) \left(5 (x+5)-e^2\right)}+\log (x)-2}{x}",1,"(-6/x + (-4 - 3*E^2)/((-10 + E^2)*(3 + x)) + (5*(4 + 3*E^2))/((-10 + E^2)*(25 - E^2 + 5*x)) + (3*Log[x])/x)/3","A",1
1143,1,20,20,0.0183417,"\int \frac{2-10 x^2+e^5 \left(1-5 x^2\right)}{\left(4 x-8 x^2+20 x^3\right) \log ^2\left(\frac{1-2 x+5 x^2}{x}\right)} \, dx","Integrate[(2 - 10*x^2 + E^5*(1 - 5*x^2))/((4*x - 8*x^2 + 20*x^3)*Log[(1 - 2*x + 5*x^2)/x]^2),x]","\frac{2+e^5}{4 \log \left(5 x+\frac{1}{x}-2\right)}","\frac{2+e^5}{4 \log \left(5 x+\frac{1}{x}-2\right)}",1,"(2 + E^5)/(4*Log[-2 + x^(-1) + 5*x])","A",1
1144,1,18,18,0.0043288,"\int -\frac{1}{e^{e^2} \left(-1+e^4\right)+x-e^4 x} \, dx","Integrate[-(E^E^2*(-1 + E^4) + x - E^4*x)^(-1),x]","\frac{\log \left(e^{e^2}-x\right)}{e^4-1}","\frac{\log \left(e^{e^2}-x\right)}{e^4-1}",1,"Log[E^E^2 - x]/(-1 + E^4)","A",1
1145,1,32,16,0.0050806,"\int \frac{1}{2} \left(2+\left(2 e^2 x+e \left(-4 x+3 x^2\right)\right) \log (625)\right) \, dx","Integrate[(2 + (2*E^2*x + E*(-4*x + 3*x^2))*Log[625])/2,x]","\frac{1}{2} e x^3 \log (625)+\frac{1}{2} e^2 x^2 \log (625)-e x^2 \log (625)+x","\frac{1}{2} e (x+e-2) x^2 \log (625)+x",1,"x - E*x^2*Log[625] + (E^2*x^2*Log[625])/2 + (E*x^3*Log[625])/2","A",1
1146,1,19,25,0.4262676,"\int \frac{-32+32 x-16 x^2-8 e^{3 x} x^2-e^{4 x} x^2+e^x \left(-16+16 x-32 x^2\right)+e^{2 x} \left(-4-24 x^2\right)}{16-32 x+16 x^2+8 e^{3 x} x^2+e^{4 x} x^2+e^{2 x} \left(-8 x+24 x^2\right)+e^x \left(-32 x+32 x^2\right)} \, dx","Integrate[(-32 + 32*x - 16*x^2 - 8*E^(3*x)*x^2 - E^(4*x)*x^2 + E^x*(-16 + 16*x - 32*x^2) + E^(2*x)*(-4 - 24*x^2))/(16 - 32*x + 16*x^2 + 8*E^(3*x)*x^2 + E^(4*x)*x^2 + E^(2*x)*(-8*x + 24*x^2) + E^x*(-32*x + 32*x^2)),x]","\frac{4}{\left(e^x+2\right)^2 x-4}-x","\frac{x}{\left(\frac{e^x x}{2}+x\right)^2-x}-x+2",1,"-x + 4/(-4 + (2 + E^x)^2*x)","A",1
1147,1,61,30,0.2547476,"\int \frac{\left(-x+2 x \log (x)+\left(1+e^x+2 x\right) \log ^2(x)\right) \sqrt{\frac{x^4+\left(2 x^2+2 e^x x^2+2 x^3+2 x^4\right) \log (x)+\left(1+e^{2 x}+2 x+3 x^2+2 x^3+x^4+e^x \left(2+2 x+2 x^2\right)\right) \log ^2(x)}{\log ^2(x)}}}{x^2 \log (x)+\left(1+e^x+x+x^2\right) \log ^2(x)} \, dx","Integrate[((-x + 2*x*Log[x] + (1 + E^x + 2*x)*Log[x]^2)*Sqrt[(x^4 + (2*x^2 + 2*E^x*x^2 + 2*x^3 + 2*x^4)*Log[x] + (1 + E^(2*x) + 2*x + 3*x^2 + 2*x^3 + x^4 + E^x*(2 + 2*x + 2*x^2))*Log[x]^2)/Log[x]^2])/(x^2*Log[x] + (1 + E^x + x + x^2)*Log[x]^2),x]","\frac{\left(x^2+\left(x^2+x+e^x\right) \log (x)\right) \sqrt{\frac{\left(x^2+\left(x^2+x+e^x+1\right) \log (x)\right)^2}{\log ^2(x)}}}{x^2+\left(x^2+x+e^x+1\right) \log (x)}","\sqrt{\left(-x^2-\frac{x^2}{\log (x)}-x-e^x-1\right)^2}",1,"((x^2 + (E^x + x + x^2)*Log[x])*Sqrt[(x^2 + (1 + E^x + x + x^2)*Log[x])^2/Log[x]^2])/(x^2 + (1 + E^x + x + x^2)*Log[x])","B",1
1148,1,190,30,0.1959499,"\int \frac{\left(-4 x+8 x^3\right) \log ^2(2)+\left(-32 x^3-16 x^4\right) \log ^3(2)}{-8-12 x-54 x^2-49 x^3-108 x^4-48 x^5-64 x^6+\left(192 x+384 x^2+1056 x^3+1248 x^4+1356 x^5+864 x^6+192 x^7\right) \log (2)+\left(-1536 x^2-3840 x^3-6912 x^4-8064 x^5-5088 x^6-1584 x^7-192 x^8\right) \log ^2(2)+\left(4096 x^3+12288 x^4+15360 x^5+10240 x^6+3840 x^7+768 x^8+64 x^9\right) \log ^3(2)} \, dx","Integrate[((-4*x + 8*x^3)*Log[2]^2 + (-32*x^3 - 16*x^4)*Log[2]^3)/(-8 - 12*x - 54*x^2 - 49*x^3 - 108*x^4 - 48*x^5 - 64*x^6 + (192*x + 384*x^2 + 1056*x^3 + 1248*x^4 + 1356*x^5 + 864*x^6 + 192*x^7)*Log[2] + (-1536*x^2 - 3840*x^3 - 6912*x^4 - 8064*x^5 - 5088*x^6 - 1584*x^7 - 192*x^8)*Log[2]^2 + (4096*x^3 + 12288*x^4 + 15360*x^5 + 10240*x^6 + 3840*x^7 + 768*x^8 + 64*x^9)*Log[2]^3),x]","\frac{x^2 \log ^2(2) \left(4096 \log ^3(2) \log (16)-256 \log ^3(16)+\log ^2(16) (617+64 \log (256))+16 \log (2) \left(58 \log ^2(16)+4 (2+\log (256))-\log (16) (57+7 \log (256))\right)-256 \log ^2(2) \left(4+8 \log ^2(16)-\log ^2(256)-\log (1048576)\right)+62 (2+\log (256))-3 \log (16) (155+41 \log (256))\right)}{\left(124+4096 \log ^3(2) \log (16)-128 \log ^3(16)+371 \log ^2(16)-256 \log ^2(2) \left(4+4 \log ^2(16)-5 \log (16)\right)+16 \log (2) \left(8+44 \log ^2(16)-49 \log (16)\right)-341 \log (16)\right) \left(x^3 \log (16)+4 x^2 (\log (16)-1)+x (16 \log (2)-1)-2\right)^2}","\frac{x^2}{\left(\frac{4 x^2+x+2}{\log (2)}-x (2 x+4)^2\right)^2}",1,"(x^2*Log[2]^2*(4096*Log[2]^3*Log[16] - 256*Log[16]^3 + 62*(2 + Log[256]) - 3*Log[16]*(155 + 41*Log[256]) + Log[16]^2*(617 + 64*Log[256]) + 16*Log[2]*(58*Log[16]^2 + 4*(2 + Log[256]) - Log[16]*(57 + 7*Log[256])) - 256*Log[2]^2*(4 + 8*Log[16]^2 - Log[256]^2 - Log[1048576])))/((-2 + x*(-1 + 16*Log[2]) + 4*x^2*(-1 + Log[16]) + x^3*Log[16])^2*(124 - 341*Log[16] + 4096*Log[2]^3*Log[16] + 371*Log[16]^2 - 128*Log[16]^3 - 256*Log[2]^2*(4 - 5*Log[16] + 4*Log[16]^2) + 16*Log[2]*(8 - 49*Log[16] + 44*Log[16]^2)))","B",0
1149,1,60,23,0.9267636,"\int \frac{e^{-2 x} \left(-18 x-12 x^2+12 x^3-2 x^4+e^{2 x} \left(-18 x^4+6 x^5\right)+\left(-27-6 x+11 x^2-2 x^3\right) \log (3 e)\right)}{x^4} \, dx","Integrate[(-18*x - 12*x^2 + 12*x^3 - 2*x^4 + E^(2*x)*(-18*x^4 + 6*x^5) + (-27 - 6*x + 11*x^2 - 2*x^3)*Log[3*E])/(E^(2*x)*x^4),x]","\frac{e^{-2 x} \left(6 e^{2 x} x^5-36 e^{2 x} x^4+2 x^3+2 x^2 (\log (3)-5)-3 x (\log (81)-2)+2 (9+\log (19683))\right)}{2 x^3}","(x-3)^2 \left(\frac{e^{-2 x} (x+\log (3 e))}{x^3}+3\right)",1,"(2*x^3 - 36*E^(2*x)*x^4 + 6*E^(2*x)*x^5 + 2*x^2*(-5 + Log[3]) - 3*x*(-2 + Log[81]) + 2*(9 + Log[19683]))/(2*E^(2*x)*x^3)","B",1
1150,1,49,30,1.6983012,"\int \frac{\exp \left(\exp \left(\frac{900+3960 x+1476 x^2+144 x^3+e^x \left(480 x^3+216 x^4+24 x^5\right)+e^{2 x} \left(16 x^5+8 x^6+x^7\right)}{225+90 x+9 x^2}\right)+\frac{900+3960 x+1476 x^2+144 x^3+e^x \left(480 x^3+216 x^4+24 x^5\right)+e^{2 x} \left(16 x^5+8 x^6+x^7\right)}{225+90 x+9 x^2}\right) \left(18000+10800 x+2160 x^2+144 x^3+e^x \left(7200 x^2+7200 x^3+2592 x^4+408 x^5+24 x^6\right)+e^{2 x} \left(400 x^4+448 x^5+179 x^6+31 x^7+2 x^8\right)\right)}{1125+675 x+135 x^2+9 x^3} \, dx","Integrate[(E^(E^((900 + 3960*x + 1476*x^2 + 144*x^3 + E^x*(480*x^3 + 216*x^4 + 24*x^5) + E^(2*x)*(16*x^5 + 8*x^6 + x^7))/(225 + 90*x + 9*x^2)) + (900 + 3960*x + 1476*x^2 + 144*x^3 + E^x*(480*x^3 + 216*x^4 + 24*x^5) + E^(2*x)*(16*x^5 + 8*x^6 + x^7))/(225 + 90*x + 9*x^2))*(18000 + 10800*x + 2160*x^2 + 144*x^3 + E^x*(7200*x^2 + 7200*x^3 + 2592*x^4 + 408*x^5 + 24*x^6) + E^(2*x)*(400*x^4 + 448*x^5 + 179*x^6 + 31*x^7 + 2*x^8)))/(1125 + 675*x + 135*x^2 + 9*x^3),x]","\exp \left(\exp \left(\frac{e^{2 x} (x+4)^2 x^5}{9 (x+5)^2}+\frac{8 e^x (x+4) x^3}{3 (x+5)}+16 x+4\right)\right)","e^{e^{x \left(\frac{e^x x^2}{\frac{3}{x+4}+3}+4\right)^2+4}}",1,"E^E^(4 + 16*x + (E^(2*x)*x^5*(4 + x)^2)/(9*(5 + x)^2) + (8*E^x*x^3*(4 + x))/(3*(5 + x)))","A",1
1151,1,24,25,5.2047958,"\int \frac{-2 x+2 x^2+e^{2+2 (x-\log (2)) \log \left(\frac{2-2 x}{x}\right)} \left(2 x-2 \log (2)+\left(-2 x+2 x^2\right) \log \left(\frac{2-2 x}{x}\right)\right)}{-x+x^2} \, dx","Integrate[(-2*x + 2*x^2 + E^(2 + 2*(x - Log[2])*Log[(2 - 2*x)/x])*(2*x - 2*Log[2] + (-2*x + 2*x^2)*Log[(2 - 2*x)/x]))/(-x + x^2),x]","2 x+e^2 \left(\frac{2}{x}-2\right)^{2 x-\log (4)}","2 x+e^{2-2 (\log (2)-x) \log \left(\frac{2}{x}-2\right)}-5",1,"E^2*(-2 + 2/x)^(2*x - Log[4]) + 2*x","A",1
1152,1,53,20,0.0867331,"\int \frac{e^5 x^2-2 e^{10} x^3+\left(3 e^5 x^2-4 e^{10} x^3\right) \log \left(\frac{3 x}{e}\right)}{1-4 e^5 x+4 e^{10} x^2} \, dx","Integrate[(E^5*x^2 - 2*E^10*x^3 + (3*E^5*x^2 - 4*E^10*x^3)*Log[(3*x)/E])/(1 - 4*E^5*x + 4*E^10*x^2),x]","\frac{\left(1-2 e^5 x\right) \log (x)-\left(8 e^{15} x^3-2 e^5 x+1\right) (\log (3 x)-1)}{8 e^{10} \left(2 e^5 x-1\right)}","\frac{x^3 \log \left(\frac{3 x}{e}\right)}{\frac{1}{e^5}-2 x}",1,"((1 - 2*E^5*x)*Log[x] - (1 - 2*E^5*x + 8*E^15*x^3)*(-1 + Log[3*x]))/(8*E^10*(-1 + 2*E^5*x))","B",1
1153,1,30,18,0.021634,"\int \frac{-176-12 x+9 x^2-2 x^3+e^4 \left(-22+4 x-x^2\right)}{4-4 x+x^2} \, dx","Integrate[(-176 - 12*x + 9*x^2 - 2*x^3 + E^4*(-22 + 4*x - x^2))/(4 - 4*x + x^2),x]","-(x-2)^2-\left(3+e^4\right) (x-2)+\frac{18 \left(10+e^4\right)}{x-2}","\frac{(x-11) x \left(x+e^4+8\right)}{2-x}",1,"(18*(10 + E^4))/(-2 + x) - (3 + E^4)*(-2 + x) - (-2 + x)^2","A",1
1154,1,21,21,1.36094,"\int \frac{3 e^{x-\frac{e^{e^x}}{4+x}} \left(\left(-80-120 x-45 x^2-5 x^3\right) \log (2)+e^{e^x} \left(-5 x \log (2)+e^x \left(20 x+5 x^2\right) \log (2)\right)\right)}{16+8 x+x^2} \, dx","Integrate[(3*E^(x - E^E^x/(4 + x))*((-80 - 120*x - 45*x^2 - 5*x^3)*Log[2] + E^E^x*(-5*x*Log[2] + E^x*(20*x + 5*x^2)*Log[2])))/(16 + 8*x + x^2),x]","-15 e^{x-\frac{e^{e^x}}{x+4}} x \log (2)","-15 e^{x-\frac{e^{e^x}}{x+4}} x \log (2)",1,"-15*E^(x - E^E^x/(4 + x))*x*Log[2]","A",1
1155,1,25,27,0.1795185,"\int \frac{e^{x/3} \left(-18 x^3-36 x^5+16 x^6+x^7\right)+e^{x/3} \left(54+108 x^2-42 x^3-6 x^4\right) \log (2-x)+e^{x/3} (-18+9 x) \log ^2(2-x)}{-270+135 x} \, dx","Integrate[(E^(x/3)*(-18*x^3 - 36*x^5 + 16*x^6 + x^7) + E^(x/3)*(54 + 108*x^2 - 42*x^3 - 6*x^4)*Log[2 - x] + E^(x/3)*(-18 + 9*x)*Log[2 - x]^2)/(-270 + 135*x),x]","\frac{1}{45} e^{x/3} \left(x^3-3 \log (2-x)\right)^2","\frac{1}{5} e^{x/3} \left(\log (2-x)-\frac{x^3}{3}\right)^2",1,"(E^(x/3)*(x^3 - 3*Log[2 - x])^2)/45","A",1
1156,-1,0,31,180.001838,"\int \frac{\exp \left(\exp \left(\frac{e^{-2 x} \left(e^4 (25+75 x)+e^x \left(e^4 \left(10 x^2+30 x^3\right)+e^4 \left(-10 x-30 x^2\right) \log (2)\right)+e^{2 x} \left(e^4 \left(x^4+3 x^5\right)+e^4 \left(-2 x^3-6 x^4\right) \log (2)+e^4 \left(x^2+3 x^3\right) \log ^2(2)\right)\right)}{x^2}\right)-2 x+\frac{e^{-2 x} \left(e^4 (25+75 x)+e^x \left(e^4 \left(10 x^2+30 x^3\right)+e^4 \left(-10 x-30 x^2\right) \log (2)\right)+e^{2 x} \left(e^4 \left(x^4+3 x^5\right)+e^4 \left(-2 x^3-6 x^4\right) \log (2)+e^4 \left(x^2+3 x^3\right) \log ^2(2)\right)\right)}{x^2}\right) \left(e^4 \left(-50-125 x-150 x^2\right)+e^x \left(e^4 \left(20 x^3-30 x^4\right)+e^4 \left(10 x+10 x^2+30 x^3\right) \log (2)\right)+e^{2 x} \left(e^4 \left(2 x^4+9 x^5\right)+e^4 \left(-2 x^3-12 x^4\right) \log (2)+3 e^4 x^3 \log ^2(2)\right)\right)}{x^3} \, dx","Integrate[(E^(E^((E^4*(25 + 75*x) + E^x*(E^4*(10*x^2 + 30*x^3) + E^4*(-10*x - 30*x^2)*Log[2]) + E^(2*x)*(E^4*(x^4 + 3*x^5) + E^4*(-2*x^3 - 6*x^4)*Log[2] + E^4*(x^2 + 3*x^3)*Log[2]^2))/(E^(2*x)*x^2)) - 2*x + (E^4*(25 + 75*x) + E^x*(E^4*(10*x^2 + 30*x^3) + E^4*(-10*x - 30*x^2)*Log[2]) + E^(2*x)*(E^4*(x^4 + 3*x^5) + E^4*(-2*x^3 - 6*x^4)*Log[2] + E^4*(x^2 + 3*x^3)*Log[2]^2))/(E^(2*x)*x^2))*(E^4*(-50 - 125*x - 150*x^2) + E^x*(E^4*(20*x^3 - 30*x^4) + E^4*(10*x + 10*x^2 + 30*x^3)*Log[2]) + E^(2*x)*(E^4*(2*x^4 + 9*x^5) + E^4*(-2*x^3 - 12*x^4)*Log[2] + 3*E^4*x^3*Log[2]^2)))/x^3,x]","\text{\$Aborted}","\exp \left(e^{e^4 (3 x+1) \left(x+\frac{5 e^{-x}}{x}-\log (2)\right)^2}\right)",1,"$Aborted","F",-1
1157,1,22,22,0.1969258,"\int \frac{\exp \left(\frac{\log ^2\left(\frac{-x^2+2 \log (-20+x)}{\log (-20+x)}\right)}{x^2}\right) \left(\left(2 x^3+\left(80 x^2-4 x^3\right) \log (-20+x)\right) \log \left(\frac{-x^2+2 \log (-20+x)}{\log (-20+x)}\right)+\left(\left(-40 x^2+2 x^3\right) \log (-20+x)+(80-4 x) \log ^2(-20+x)\right) \log ^2\left(\frac{-x^2+2 \log (-20+x)}{\log (-20+x)}\right)\right)}{\left(20 x^5-x^6\right) \log (-20+x)+\left(-40 x^3+2 x^4\right) \log ^2(-20+x)} \, dx","Integrate[(E^(Log[(-x^2 + 2*Log[-20 + x])/Log[-20 + x]]^2/x^2)*((2*x^3 + (80*x^2 - 4*x^3)*Log[-20 + x])*Log[(-x^2 + 2*Log[-20 + x])/Log[-20 + x]] + ((-40*x^2 + 2*x^3)*Log[-20 + x] + (80 - 4*x)*Log[-20 + x]^2)*Log[(-x^2 + 2*Log[-20 + x])/Log[-20 + x]]^2))/((20*x^5 - x^6)*Log[-20 + x] + (-40*x^3 + 2*x^4)*Log[-20 + x]^2),x]","e^{\frac{\log ^2\left(2-\frac{x^2}{\log (x-20)}\right)}{x^2}}","e^{\frac{\log ^2\left(2-\frac{x^2}{\log (x-20)}\right)}{x^2}}",1,"E^(Log[2 - x^2/Log[-20 + x]]^2/x^2)","A",1
1158,0,0,30,1.204775,"\int \frac{\exp \left(\frac{1+x \log (x)}{\left(-25 x+5 e^x x-5 x^2\right) \log (x)}\right) \left(5-e^x+x+\left(5+e^x (-1-x)+2 x\right) \log (x)+\left(x^2-e^x x^2\right) \log ^2(x)\right)}{\exp \left(\frac{1+x \log (x)}{\left(-25 x+5 e^x x-5 x^2\right) \log (x)}\right) \left(125 x^2+5 e^{2 x} x^2+50 x^3+5 x^4+e^x \left(-50 x^2-10 x^3\right)\right) \log ^2(x)+\left(-250 x^2-10 e^{2 x} x^2-100 x^3-10 x^4+e^x \left(100 x^2+20 x^3\right)\right) \log ^2(x)} \, dx","Integrate[(E^((1 + x*Log[x])/((-25*x + 5*E^x*x - 5*x^2)*Log[x]))*(5 - E^x + x + (5 + E^x*(-1 - x) + 2*x)*Log[x] + (x^2 - E^x*x^2)*Log[x]^2))/(E^((1 + x*Log[x])/((-25*x + 5*E^x*x - 5*x^2)*Log[x]))*(125*x^2 + 5*E^(2*x)*x^2 + 50*x^3 + 5*x^4 + E^x*(-50*x^2 - 10*x^3))*Log[x]^2 + (-250*x^2 - 10*E^(2*x)*x^2 - 100*x^3 - 10*x^4 + E^x*(100*x^2 + 20*x^3))*Log[x]^2),x]","\int \frac{\exp \left(\frac{1+x \log (x)}{\left(-25 x+5 e^x x-5 x^2\right) \log (x)}\right) \left(5-e^x+x+\left(5+e^x (-1-x)+2 x\right) \log (x)+\left(x^2-e^x x^2\right) \log ^2(x)\right)}{\exp \left(\frac{1+x \log (x)}{\left(-25 x+5 e^x x-5 x^2\right) \log (x)}\right) \left(125 x^2+5 e^{2 x} x^2+50 x^3+5 x^4+e^x \left(-50 x^2-10 x^3\right)\right) \log ^2(x)+\left(-250 x^2-10 e^{2 x} x^2-100 x^3-10 x^4+e^x \left(100 x^2+20 x^3\right)\right) \log ^2(x)} \, dx","\log \left(4 \left(e^{\frac{x+\frac{1}{\log (x)}}{5 \left(-x+e^x-5\right) x}}-2\right)\right)",1,"Integrate[(E^((1 + x*Log[x])/((-25*x + 5*E^x*x - 5*x^2)*Log[x]))*(5 - E^x + x + (5 + E^x*(-1 - x) + 2*x)*Log[x] + (x^2 - E^x*x^2)*Log[x]^2))/(E^((1 + x*Log[x])/((-25*x + 5*E^x*x - 5*x^2)*Log[x]))*(125*x^2 + 5*E^(2*x)*x^2 + 50*x^3 + 5*x^4 + E^x*(-50*x^2 - 10*x^3))*Log[x]^2 + (-250*x^2 - 10*E^(2*x)*x^2 - 100*x^3 - 10*x^4 + E^x*(100*x^2 + 20*x^3))*Log[x]^2), x]","F",-1
1159,1,30,29,0.0903168,"\int \frac{-e^5 \log \left(\frac{5}{2}\right)+e^5 \log \left(\frac{5}{2}\right) \log (x) \log (\log (x))+\left(1+e^5 (1+2 x)\right) \log \left(\frac{5}{2}\right) \log (x) \log ^2(\log (x))}{2 e^5 \log (x) \log ^2(\log (x))} \, dx","Integrate[(-(E^5*Log[5/2]) + E^5*Log[5/2]*Log[x]*Log[Log[x]] + (1 + E^5*(1 + 2*x))*Log[5/2]*Log[x]*Log[Log[x]]^2)/(2*E^5*Log[x]*Log[Log[x]]^2),x]","\frac{x \log \left(\frac{5}{2}\right) \left(e^5 (x+1)+\frac{e^5}{\log (\log (x))}+1\right)}{2 e^5}","\log \left(\frac{5}{2}\right) \left(\frac{1}{2} \left(x^2+\frac{x}{e^5}+x+\frac{x}{\log (\log (x))}-3\right)-2\right)",1,"(x*Log[5/2]*(1 + E^5*(1 + x) + E^5/Log[Log[x]]))/(2*E^5)","A",1
1160,0,0,29,0.5532375,"\int \frac{e^{2 x} (-2+8 x)+4 \log (5)+e^x (-4+8 x+(2-4 x) \log (5))}{\left(e^{2 x} x-2 x \log (5)+e^x (2 x-x \log (5))\right) \log \left(\frac{e^{4 x}+e^{3 x} (4-2 \log (5))+4 \log ^2(5)+e^{2 x} \left(4-8 \log (5)+\log ^2(5)\right)+e^x \left(-8 \log (5)+4 \log ^2(5)\right)}{2 x}\right) \log \left(\log ^2\left(\frac{e^{4 x}+e^{3 x} (4-2 \log (5))+4 \log ^2(5)+e^{2 x} \left(4-8 \log (5)+\log ^2(5)\right)+e^x \left(-8 \log (5)+4 \log ^2(5)\right)}{2 x}\right)\right)} \, dx","Integrate[(E^(2*x)*(-2 + 8*x) + 4*Log[5] + E^x*(-4 + 8*x + (2 - 4*x)*Log[5]))/((E^(2*x)*x - 2*x*Log[5] + E^x*(2*x - x*Log[5]))*Log[(E^(4*x) + E^(3*x)*(4 - 2*Log[5]) + 4*Log[5]^2 + E^(2*x)*(4 - 8*Log[5] + Log[5]^2) + E^x*(-8*Log[5] + 4*Log[5]^2))/(2*x)]*Log[Log[(E^(4*x) + E^(3*x)*(4 - 2*Log[5]) + 4*Log[5]^2 + E^(2*x)*(4 - 8*Log[5] + Log[5]^2) + E^x*(-8*Log[5] + 4*Log[5]^2))/(2*x)]^2]),x]","\int \frac{e^{2 x} (-2+8 x)+4 \log (5)+e^x (-4+8 x+(2-4 x) \log (5))}{\left(e^{2 x} x-2 x \log (5)+e^x (2 x-x \log (5))\right) \log \left(\frac{e^{4 x}+e^{3 x} (4-2 \log (5))+4 \log ^2(5)+e^{2 x} \left(4-8 \log (5)+\log ^2(5)\right)+e^x \left(-8 \log (5)+4 \log ^2(5)\right)}{2 x}\right) \log \left(\log ^2\left(\frac{e^{4 x}+e^{3 x} (4-2 \log (5))+4 \log ^2(5)+e^{2 x} \left(4-8 \log (5)+\log ^2(5)\right)+e^x \left(-8 \log (5)+4 \log ^2(5)\right)}{2 x}\right)\right)} \, dx","\log \left(\log \left(\log ^2\left(\frac{\left(e^x+2\right)^2 \left(e^x-\log (5)\right)^2}{2 x}\right)\right)\right)",1,"Integrate[(E^(2*x)*(-2 + 8*x) + 4*Log[5] + E^x*(-4 + 8*x + (2 - 4*x)*Log[5]))/((E^(2*x)*x - 2*x*Log[5] + E^x*(2*x - x*Log[5]))*Log[(E^(4*x) + E^(3*x)*(4 - 2*Log[5]) + 4*Log[5]^2 + E^(2*x)*(4 - 8*Log[5] + Log[5]^2) + E^x*(-8*Log[5] + 4*Log[5]^2))/(2*x)]*Log[Log[(E^(4*x) + E^(3*x)*(4 - 2*Log[5]) + 4*Log[5]^2 + E^(2*x)*(4 - 8*Log[5] + Log[5]^2) + E^x*(-8*Log[5] + 4*Log[5]^2))/(2*x)]^2]), x]","F",-1
1161,1,21,21,0.1297543,"\int \frac{x^2+e^{\frac{2 \left(x \log (5)+e \log (5) \log \left(x^2\right)\right)}{e x}} \left(-4 \log (5)+2 \log (5) \log \left(x^2\right)\right)}{x^2} \, dx","Integrate[(x^2 + E^((2*(x*Log[5] + E*Log[5]*Log[x^2]))/(E*x))*(-4*Log[5] + 2*Log[5]*Log[x^2]))/x^2,x]","x-5^{\frac{2 \log \left(x^2\right)}{x}+\frac{2}{e}}","x-5^{\frac{2 \left(\log \left(x^2\right)+\frac{x}{e}\right)}{x}}",1,"-5^(2/E + (2*Log[x^2])/x) + x","A",1
1162,1,26,28,0.0391727,"\int \left(-968 x+e^{4-e^3+2 x} (1+2 x)-88 x \log (2)-2 x \log ^2(2)\right) \, dx","Integrate[-968*x + E^(4 - E^3 + 2*x)*(1 + 2*x) - 88*x*Log[2] - 2*x*Log[2]^2,x]","e^{2 x-e^3+4} x-x^2 (22+\log (2))^2","5-x \left(x (22+\log (2))^2-e^{2 x-e^3+4}\right)",1,"E^(4 - E^3 + 2*x)*x - x^2*(22 + Log[2])^2","A",1
1163,0,0,23,0.9760399,"\int \frac{\exp \left(\frac{4096 x^2-x^3+8192 x \log (4)+4096 \log ^2(4)+(-8192 x-8192 \log (4)) \log (x)+4096 \log ^2(x)}{x^2}\right) \left(-24576 x-3 x^3+(-24576-24576 x) \log (4)-24576 \log ^2(4)+(24576+24576 x+49152 \log (4)) \log (x)-24576 \log ^2(x)\right)}{x^3} \, dx","Integrate[(E^((4096*x^2 - x^3 + 8192*x*Log[4] + 4096*Log[4]^2 + (-8192*x - 8192*Log[4])*Log[x] + 4096*Log[x]^2)/x^2)*(-24576*x - 3*x^3 + (-24576 - 24576*x)*Log[4] - 24576*Log[4]^2 + (24576 + 24576*x + 49152*Log[4])*Log[x] - 24576*Log[x]^2))/x^3,x]","\int \frac{\exp \left(\frac{4096 x^2-x^3+8192 x \log (4)+4096 \log ^2(4)+(-8192 x-8192 \log (4)) \log (x)+4096 \log ^2(x)}{x^2}\right) \left(-24576 x-3 x^3+(-24576-24576 x) \log (4)-24576 \log ^2(4)+(24576+24576 x+49152 \log (4)) \log (x)-24576 \log ^2(x)\right)}{x^3} \, dx","3 e^{\frac{4096 (x-\log (x)+\log (4))^2}{x^2}-x}",1,"Integrate[(E^((4096*x^2 - x^3 + 8192*x*Log[4] + 4096*Log[4]^2 + (-8192*x - 8192*Log[4])*Log[x] + 4096*Log[x]^2)/x^2)*(-24576*x - 3*x^3 + (-24576 - 24576*x)*Log[4] - 24576*Log[4]^2 + (24576 + 24576*x + 49152*Log[4])*Log[x] - 24576*Log[x]^2))/x^3, x]","F",-1
1164,1,18,17,0.2097431,"\int \frac{8 e^4 x+e^5 \left(4-16 x^3\right)}{-x^{10}+e \left(-5 x^9+5 x^{12}\right)+e^2 \left(-10 x^8+20 x^{11}-10 x^{14}\right)+e^3 \left(-10 x^7+30 x^{10}-30 x^{13}+10 x^{16}\right)+e^4 \left(-5 x^6+20 x^9-30 x^{12}+20 x^{15}-5 x^{18}\right)+e^5 \left(-x^5+5 x^8-10 x^{11}+10 x^{14}-5 x^{17}+x^{20}\right)} \, dx","Integrate[(8*E^4*x + E^5*(4 - 16*x^3))/(-x^10 + E*(-5*x^9 + 5*x^12) + E^2*(-10*x^8 + 20*x^11 - 10*x^14) + E^3*(-10*x^7 + 30*x^10 - 30*x^13 + 10*x^16) + E^4*(-5*x^6 + 20*x^9 - 30*x^12 + 20*x^15 - 5*x^18) + E^5*(-x^5 + 5*x^8 - 10*x^11 + 10*x^14 - 5*x^17 + x^20)),x]","\frac{e^4}{x^4 \left(-e x^3+x+e\right)^4}","\frac{1}{\left(\left(\frac{1}{e}-x^2\right) x^2+x\right)^4}",1,"E^4/(x^4*(E + x - E*x^3)^4)","A",1
1165,1,12,12,0.1226646,"\int e^{e^x} \left(10 x^4+6 x^5+e^x \left(2 x^5+x^6\right)\right) \, dx","Integrate[E^E^x*(10*x^4 + 6*x^5 + E^x*(2*x^5 + x^6)),x]","e^{e^x} x^5 (x+2)","e^{e^x} x^5 (x+2)",1,"E^E^x*x^5*(2 + x)","A",1
1166,1,36,30,0.1779558,"\int \frac{300 x^3+\left(1000 x^5+375 x^6-125 x^8\right) \log (2)}{9+\left(120 x^2+90 x^3-150 x^4+30 x^5\right) \log (2)+\left(400 x^4+600 x^5-775 x^6-550 x^7+775 x^8-250 x^9+25 x^{10}\right) \log ^2(2)} \, dx","Integrate[(300*x^3 + (1000*x^5 + 375*x^6 - 125*x^8)*Log[2])/(9 + (120*x^2 + 90*x^3 - 150*x^4 + 30*x^5)*Log[2] + (400*x^4 + 600*x^5 - 775*x^6 - 550*x^7 + 775*x^8 - 250*x^9 + 25*x^10)*Log[2]^2),x]","\frac{25 x^4}{x^5 \log (32)-25 x^4 \log (2)+15 x^3 \log (2)+20 x^2 \log (2)+3}","\frac{5 x^2}{\frac{3}{5 x^2}-(x-4) \left(-x^2+x+1\right) \log (2)}",1,"(25*x^4)/(3 + 20*x^2*Log[2] + 15*x^3*Log[2] - 25*x^4*Log[2] + x^5*Log[32])","A",1
1167,1,37,23,0.5184225,"\int \frac{-5+\log (3)+e^{\frac{e^{e^x}}{-5+\log (3)}} \left(-5+\log (3)+e^{e^x+x} x \log (x)+(-5+\log (3)) \log (x)\right)}{-5+\log (3)} \, dx","Integrate[(-5 + Log[3] + E^(E^E^x/(-5 + Log[3]))*(-5 + Log[3] + E^(E^x + x)*x*Log[x] + (-5 + Log[3])*Log[x]))/(-5 + Log[3]),x]","\frac{-5 x+x (\log (3)-5) e^{\frac{e^{e^x}}{\log (3)-5}} \log (x)+x \log (3)}{\log (3)-5}","x+x e^{-\frac{e^{e^x}}{5-\log (3)}} \log (x)",1,"(-5*x + x*Log[3] + E^(E^E^x/(-5 + Log[3]))*x*(-5 + Log[3])*Log[x])/(-5 + Log[3])","A",1
1168,0,0,35,0.4575633,"\int \frac{\left(80-480 x+e^x \left(-40+216 x+120 x^2\right)+\left(-16+80 x+e^x \left(8-32 x-40 x^2\right)\right) \log \left(x^2-5 x^3\right)\right) \log \left(\frac{-3+\log \left(x^2-5 x^3\right)}{-2 x+e^x x}\right)+\left(48-240 x+e^x (-24+120 x)+\left(-16+e^x (8-40 x)+80 x\right) \log \left(x^2-5 x^3\right)\right) \log ^2\left(\frac{-3+\log \left(x^2-5 x^3\right)}{-2 x+e^x x}\right)}{-6 x^3+30 x^4+e^x \left(3 x^3-15 x^4\right)+\left(2 x^3-10 x^4+e^x \left(-x^3+5 x^4\right)\right) \log \left(x^2-5 x^3\right)} \, dx","Integrate[((80 - 480*x + E^x*(-40 + 216*x + 120*x^2) + (-16 + 80*x + E^x*(8 - 32*x - 40*x^2))*Log[x^2 - 5*x^3])*Log[(-3 + Log[x^2 - 5*x^3])/(-2*x + E^x*x)] + (48 - 240*x + E^x*(-24 + 120*x) + (-16 + E^x*(8 - 40*x) + 80*x)*Log[x^2 - 5*x^3])*Log[(-3 + Log[x^2 - 5*x^3])/(-2*x + E^x*x)]^2)/(-6*x^3 + 30*x^4 + E^x*(3*x^3 - 15*x^4) + (2*x^3 - 10*x^4 + E^x*(-x^3 + 5*x^4))*Log[x^2 - 5*x^3]),x]","\int \frac{\left(80-480 x+e^x \left(-40+216 x+120 x^2\right)+\left(-16+80 x+e^x \left(8-32 x-40 x^2\right)\right) \log \left(x^2-5 x^3\right)\right) \log \left(\frac{-3+\log \left(x^2-5 x^3\right)}{-2 x+e^x x}\right)+\left(48-240 x+e^x (-24+120 x)+\left(-16+e^x (8-40 x)+80 x\right) \log \left(x^2-5 x^3\right)\right) \log ^2\left(\frac{-3+\log \left(x^2-5 x^3\right)}{-2 x+e^x x}\right)}{-6 x^3+30 x^4+e^x \left(3 x^3-15 x^4\right)+\left(2 x^3-10 x^4+e^x \left(-x^3+5 x^4\right)\right) \log \left(x^2-5 x^3\right)} \, dx","\frac{4 \log ^2\left(\frac{3-\log \left(x \left(x-5 x^2\right)\right)}{\left(2-e^x\right) x}\right)}{x^2}",1,"Integrate[((80 - 480*x + E^x*(-40 + 216*x + 120*x^2) + (-16 + 80*x + E^x*(8 - 32*x - 40*x^2))*Log[x^2 - 5*x^3])*Log[(-3 + Log[x^2 - 5*x^3])/(-2*x + E^x*x)] + (48 - 240*x + E^x*(-24 + 120*x) + (-16 + E^x*(8 - 40*x) + 80*x)*Log[x^2 - 5*x^3])*Log[(-3 + Log[x^2 - 5*x^3])/(-2*x + E^x*x)]^2)/(-6*x^3 + 30*x^4 + E^x*(3*x^3 - 15*x^4) + (2*x^3 - 10*x^4 + E^x*(-x^3 + 5*x^4))*Log[x^2 - 5*x^3]), x]","F",-1
1169,1,15,17,0.1685458,"\int \frac{2-e^x+2 x}{\left(-1+e^x-2 x-x^2\right) \log \left(-1+e^x-2 x-x^2\right)} \, dx","Integrate[(2 - E^x + 2*x)/((-1 + E^x - 2*x - x^2)*Log[-1 + E^x - 2*x - x^2]),x]","-\log \left(\log \left(e^x-(x+1)^2\right)\right)","-\log \left(\log \left(-x (x+2)+e^x-1\right)\right)-2",1,"-Log[Log[E^x - (1 + x)^2]]","A",1
1170,1,23,23,0.5362546,"\int \frac{x \log ^3(2 x)+e^{\frac{1-10 x+4 \log ^2(2 x)}{2 \log ^2(2 x)}} (1-10 x+5 x \log (2 x))}{x \log ^3(2 x)} \, dx","Integrate[(x*Log[2*x]^3 + E^((1 - 10*x + 4*Log[2*x]^2)/(2*Log[2*x]^2))*(1 - 10*x + 5*x*Log[2*x]))/(x*Log[2*x]^3),x]","x-e^{\frac{1-10 x}{2 \log ^2(2 x)}+2}","x-e^{\frac{\frac{1}{2}-5 x}{\log ^2(2 x)}+2}+4",1,"-E^(2 + (1 - 10*x)/(2*Log[2*x]^2)) + x","A",1
1171,1,18,15,0.0173435,"\int \frac{-45-105 x-24 x^2}{36 x^2+105 x^3+88 x^4+16 x^5+\left(72 x+114 x^2+24 x^3\right) \log (4+x)+(36+9 x) \log ^2(4+x)} \, dx","Integrate[(-45 - 105*x - 24*x^2)/(36*x^2 + 105*x^3 + 88*x^4 + 16*x^5 + (72*x + 114*x^2 + 24*x^3)*Log[4 + x] + (36 + 9*x)*Log[4 + x]^2),x]","\frac{3}{x (4 x+3)+3 \log (x+4)}","\frac{1}{\frac{4 x^2}{3}+x+\log (x+4)}",1,"3/(x*(3 + 4*x) + 3*Log[4 + x])","A",1
1172,1,33,32,0.0840686,"\int \frac{-108 e^{x/5} x^4-1440 x \log (25)+e^{e^x} \left(e^{x/5} \left(-135 x^4+27 x^5\right)+540 x^2 \log (25)+e^x \left(-135 e^{x/5} x^5+180 x^3 \log (25)\right)\right)}{45 e^{2 x/5} x^4-120 e^{x/5} x^2 \log (25)+80 \log ^2(25)} \, dx","Integrate[(-108*E^(x/5)*x^4 - 1440*x*Log[25] + E^E^x*(E^(x/5)*(-135*x^4 + 27*x^5) + 540*x^2*Log[25] + E^x*(-135*E^(x/5)*x^5 + 180*x^3*Log[25])))/(45*E^((2*x)/5)*x^4 - 120*E^(x/5)*x^2*Log[25] + 80*Log[25]^2),x]","-\frac{9 x^2 \left(e^{e^x} x-4\right)}{3 e^{x/5} x^2-4 \log (25)}","\frac{3 \left(e^{e^x} x-4\right)}{\frac{4 \log (25)}{3 x^2}-e^{x/5}}",1,"(-9*x^2*(-4 + E^E^x*x))/(3*E^(x/5)*x^2 - 4*Log[25])","A",1
1173,0,0,20,2.0123444,"\int \frac{-x+\left(32+64 x+32 x^2\right) \log (x)+\left(32 x+32 x^2\right) \log ^2(x)}{-x^2+\left(16 x+32 x^2+16 x^3\right) \log ^2(x)} \, dx","Integrate[(-x + (32 + 64*x + 32*x^2)*Log[x] + (32*x + 32*x^2)*Log[x]^2)/(-x^2 + (16*x + 32*x^2 + 16*x^3)*Log[x]^2),x]","\int \frac{-x+\left(32+64 x+32 x^2\right) \log (x)+\left(32 x+32 x^2\right) \log ^2(x)}{-x^2+\left(16 x+32 x^2+16 x^3\right) \log ^2(x)} \, dx","\log \left(x-16 (x+1)^2 \log ^2(x)\right)+4+\log ^2(3)",1,"Integrate[(-x + (32 + 64*x + 32*x^2)*Log[x] + (32*x + 32*x^2)*Log[x]^2)/(-x^2 + (16*x + 32*x^2 + 16*x^3)*Log[x]^2), x]","F",-1
1174,1,49,27,0.0812766,"\int \frac{-32-2592 e^8-630 x-10368 e^6 x-2340 x^2+5346 x^3-2592 x^4+e^4 \left(576+5670 x-15552 x^2\right)+e^2 \left(1152 x+11016 x^2-10368 x^3\right)}{64 x^3+5184 e^8 x^3+1296 x^4+20736 e^6 x^4+5409 x^5-11664 x^6+5184 x^7+e^4 \left(-1152 x^3-11664 x^4+31104 x^5\right)+e^2 \left(-2304 x^4-23328 x^5+20736 x^6\right)} \, dx","Integrate[(-32 - 2592*E^8 - 630*x - 10368*E^6*x - 2340*x^2 + 5346*x^3 - 2592*x^4 + E^4*(576 + 5670*x - 15552*x^2) + E^2*(1152*x + 11016*x^2 - 10368*x^3))/(64*x^3 + 5184*E^8*x^3 + 1296*x^4 + 20736*E^6*x^4 + 5409*x^5 - 11664*x^6 + 5184*x^7 + E^4*(-1152*x^3 - 11664*x^4 + 31104*x^5) + E^2*(-2304*x^4 - 23328*x^5 + 20736*x^6)),x]","-\frac{2 \left(-9 x^2-18 e^2 x+9 x-9 e^4+1\right)}{x^2 \left(72 x^2+144 e^2 x-81 x+72 e^4-8\right)}","\frac{2}{x^2 \left(\frac{x}{-\left(x+e^2\right)^2+x+\frac{1}{9}}+8\right)}",1,"(-2*(1 - 9*E^4 + 9*x - 18*E^2*x - 9*x^2))/(x^2*(-8 + 72*E^4 - 81*x + 144*E^2*x + 72*x^2))","A",1
1175,1,31,26,0.2838857,"\int \frac{e^{2 e^{x/3}} (720-90 x)+720 x^2-90 x^3+e^{e^{x/3}} \left(-3-1440 x+e^{x/3} x+180 x^2\right)}{3 e^{2 e^{x/3}}-6 e^{e^{x/3}} x+3 x^2} \, dx","Integrate[(E^(2*E^(x/3))*(720 - 90*x) + 720*x^2 - 90*x^3 + E^E^(x/3)*(-3 - 1440*x + E^(x/3)*x + 180*x^2))/(3*E^(2*E^(x/3)) - 6*E^E^(x/3)*x + 3*x^2),x]","\frac{1}{3} \left(-45 x^2-\frac{3 x}{e^{e^{x/3}}-x}+720 x\right)","15 (16-x) x+\frac{x}{x-e^{e^{x/3}}}",1,"(720*x - (3*x)/(E^E^(x/3) - x) - 45*x^2)/3","A",1
1176,1,124,23,0.7123945,"\int \frac{15+60 x-146 x^2+355 x^4+\left(30 x^2-146 x^4\right) \log (3)+15 x^4 \log ^2(3)+\left(6 x^2-10 x^4+2 x^4 \log (3)\right) \log \left(x^2\right)}{15-150 x^2+375 x^4+\left(30 x^2-150 x^4\right) \log (3)+15 x^4 \log ^2(3)} \, dx","Integrate[(15 + 60*x - 146*x^2 + 355*x^4 + (30*x^2 - 146*x^4)*Log[3] + 15*x^4*Log[3]^2 + (6*x^2 - 10*x^4 + 2*x^4*Log[3])*Log[x^2])/(15 - 150*x^2 + 375*x^4 + (30*x^2 - 150*x^4)*Log[3] + 15*x^4*Log[3]^2),x]","\frac{1}{15} \left(-\frac{30}{(\log (3)-5) \left(x^2 (\log (3)-5)+1\right)}+\frac{2 x^3 \log \left(x^2\right)}{x^2 (\log (3)-5)+1}+\frac{15 x \log (3)}{\log (3)-5}-\frac{75 x}{\log (3)-5}-\frac{2 \log \left(1-x \sqrt{5-\log (3)}\right)}{(5-\log (3))^{3/2}}+\frac{2 \log \left(x (\log (3)-5)+\sqrt{5-\log (3)}\right)}{(5-\log (3))^{3/2}}\right)","\frac{\frac{2}{15} x \log \left(x^2\right)+2}{\frac{1}{x^2}-5+\log (3)}+x",1,"((-75*x)/(-5 + Log[3]) - 30/((1 + x^2*(-5 + Log[3]))*(-5 + Log[3])) + (15*x*Log[3])/(-5 + Log[3]) + (2*x^3*Log[x^2])/(1 + x^2*(-5 + Log[3])) - (2*Log[1 - x*Sqrt[5 - Log[3]]])/(5 - Log[3])^(3/2) + (2*Log[Sqrt[5 - Log[3]] + x*(-5 + Log[3])])/(5 - Log[3])^(3/2))/15","B",1
1177,1,18,18,0.1097735,"\int \frac{-80+15 x+(80-20 x) \log (4-x)}{e^{22} \left(-4 x^5+x^6\right)+e^{22} \left(8 x^5-2 x^6\right) \log (4-x)+e^{22} \left(-4 x^5+x^6\right) \log ^2(4-x)} \, dx","Integrate[(-80 + 15*x + (80 - 20*x)*Log[4 - x])/(E^22*(-4*x^5 + x^6) + E^22*(8*x^5 - 2*x^6)*Log[4 - x] + E^22*(-4*x^5 + x^6)*Log[4 - x]^2),x]","\frac{5}{e^{22} x^4 (\log (4-x)-1)}","\frac{5}{e^{22} x^4 (\log (4-x)-1)}",1,"5/(E^22*x^4*(-1 + Log[4 - x]))","A",1
1178,1,20,20,0.099359,"\int e^{-e-e^x+x+x^2} \left(1-e^x+2 x\right) \log ^2(25) \, dx","Integrate[E^(-E - E^x + x + x^2)*(1 - E^x + 2*x)*Log[25]^2,x]","e^{x^2+x-e^x-e} \log ^2(25)","e^{x^2+x-e^x-e} \log ^2(25)",1,"E^(-E - E^x + x + x^2)*Log[25]^2","A",1
1179,1,10,12,0.0015154,"\int -\frac{2 e^{16}}{25+10 x+x^2} \, dx","Integrate[(-2*E^16)/(25 + 10*x + x^2),x]","\frac{2 e^{16}}{x+5}","\frac{2 e^{16}}{x+5}+3",1,"(2*E^16)/(5 + x)","A",1
1180,1,20,36,0.1659755,"\int \frac{e^{\frac{2}{x}+\frac{-e^{2/x}+x}{x}} (-10-5 x)+x^3}{x^3} \, dx","Integrate[(E^(2/x + (-E^(2/x) + x)/x)*(-10 - 5*x) + x^3)/x^3,x]","x-5 e^{1-\frac{e^{2/x}}{x}}","5 \left(-e^{\frac{x-e^{2/x}}{x}}+e^4-e^{5 e^5}\right)+x",1,"-5*E^(1 - E^(2/x)/x) + x","A",1
1181,1,15,13,0.0076765,"\int \frac{1+\left(20 x+18 x^2+3 x^3\right) \log (x)}{x \log (x)} \, dx","Integrate[(1 + (20*x + 18*x^2 + 3*x^3)*Log[x])/(x*Log[x]),x]","x^3+9 x^2+20 x+\log (\log (x))","x (x+4) (x+5)+\log (\log (x))-4",1,"20*x + 9*x^2 + x^3 + Log[Log[x]]","A",1
1182,1,49,16,0.0189876,"\int \frac{e^5 \left(-65537-262144 x-344064 x^2-229376 x^3-89600 x^4-21504 x^5-3136 x^6-256 x^7-9 x^8\right)}{25-655370 x+4293787649 x^2+17178984448 x^3+32211910656 x^4+37580899328 x^5+30534533120 x^6+18320722560 x^7+8396997184 x^8+2998927414 x^9+843448322 x^{10}+187432960 x^{11}+32800768 x^{12}+4472832 x^{13}+465920 x^{14}+35840 x^{15}+1920 x^{16}+64 x^{17}+x^{18}} \, dx","Integrate[(E^5*(-65537 - 262144*x - 344064*x^2 - 229376*x^3 - 89600*x^4 - 21504*x^5 - 3136*x^6 - 256*x^7 - 9*x^8))/(25 - 655370*x + 4293787649*x^2 + 17178984448*x^3 + 32211910656*x^4 + 37580899328*x^5 + 30534533120*x^6 + 18320722560*x^7 + 8396997184*x^8 + 2998927414*x^9 + 843448322*x^10 + 187432960*x^11 + 32800768*x^12 + 4472832*x^13 + 465920*x^14 + 35840*x^15 + 1920*x^16 + 64*x^17 + x^18),x]","\frac{e^5}{x^9+32 x^8+448 x^7+3584 x^6+17920 x^5+57344 x^4+114688 x^3+131072 x^2+65537 x-5}","\frac{e^5}{x (x+4)^8+x-5}",1,"E^5/(-5 + 65537*x + 131072*x^2 + 114688*x^3 + 57344*x^4 + 17920*x^5 + 3584*x^6 + 448*x^7 + 32*x^8 + x^9)","B",1
1183,0,0,24,5.051318,"\int \frac{16+\frac{e^{2 x}}{9}-8 \log (2)+\log ^2(2)+\frac{1}{3} e^x (-8+2 \log (2))+\exp \left(\frac{-52+\frac{17 e^x}{3}+17 \log (2)+e^x \left(-4+\frac{e^x}{3}+\log (2)\right)}{-4+\frac{e^x}{3}+\log (2)}\right) \left(-\frac{16 e^x}{3}+e^x \left(16+\frac{e^{2 x}}{9}-8 \log (2)+\log ^2(2)+\frac{1}{3} e^x (-8+2 \log (2))\right)\right)}{16+\frac{e^{2 x}}{9}-8 \log (2)+\log ^2(2)+\frac{1}{3} e^x (-8+2 \log (2))} \, dx","Integrate[(16 + E^(2*x)/9 - 8*Log[2] + Log[2]^2 + (E^x*(-8 + 2*Log[2]))/3 + E^((-52 + (17*E^x)/3 + 17*Log[2] + E^x*(-4 + E^x/3 + Log[2]))/(-4 + E^x/3 + Log[2]))*((-16*E^x)/3 + E^x*(16 + E^(2*x)/9 - 8*Log[2] + Log[2]^2 + (E^x*(-8 + 2*Log[2]))/3)))/(16 + E^(2*x)/9 - 8*Log[2] + Log[2]^2 + (E^x*(-8 + 2*Log[2]))/3),x]","\int \frac{16+\frac{e^{2 x}}{9}-8 \log (2)+\log ^2(2)+\frac{1}{3} e^x (-8+2 \log (2))+\exp \left(\frac{-52+\frac{17 e^x}{3}+17 \log (2)+e^x \left(-4+\frac{e^x}{3}+\log (2)\right)}{-4+\frac{e^x}{3}+\log (2)}\right) \left(-\frac{16 e^x}{3}+e^x \left(16+\frac{e^{2 x}}{9}-8 \log (2)+\log ^2(2)+\frac{1}{3} e^x (-8+2 \log (2))\right)\right)}{16+\frac{e^{2 x}}{9}-8 \log (2)+\log ^2(2)+\frac{1}{3} e^x (-8+2 \log (2))} \, dx","x+e^{e^x+\frac{16}{\frac{e^x}{3}-4+\log (2)}+17}",1,"Integrate[(16 + E^(2*x)/9 - 8*Log[2] + Log[2]^2 + (E^x*(-8 + 2*Log[2]))/3 + E^((-52 + (17*E^x)/3 + 17*Log[2] + E^x*(-4 + E^x/3 + Log[2]))/(-4 + E^x/3 + Log[2]))*((-16*E^x)/3 + E^x*(16 + E^(2*x)/9 - 8*Log[2] + Log[2]^2 + (E^x*(-8 + 2*Log[2]))/3)))/(16 + E^(2*x)/9 - 8*Log[2] + Log[2]^2 + (E^x*(-8 + 2*Log[2]))/3), x]","F",-1
1184,1,18,19,0.0693347,"\int \frac{-6 x+4 x^2+(-3+2 x) \log \left(\frac{1}{2} \left(3 x-2 x^2\right)\right)+\log (x) \left(-3+4 x+(-3+2 x) \log \left(\frac{1}{2} \left(3 x-2 x^2\right)\right)\right)}{-3+2 x} \, dx","Integrate[(-6*x + 4*x^2 + (-3 + 2*x)*Log[(3*x - 2*x^2)/2] + Log[x]*(-3 + 4*x + (-3 + 2*x)*Log[(3*x - 2*x^2)/2]))/(-3 + 2*x),x]","x \left(x+\log (x) \log \left(\frac{1}{2} (3-2 x) x\right)\right)","x \left(\log (x) \log \left(\frac{3 x}{2}-x^2\right)+x\right)",1,"x*(x + Log[x]*Log[((3 - 2*x)*x)/2])","A",1
1185,1,33759,29,10.4944075,"\int \frac{-4096-9984 x-9600 x^2-4544 x^3-864 x^4+432 x^5+568 x^6+300 x^7+78 x^8+8 x^9+\left(1024+2560 x+2560 x^2+1280 x^3+256 x^4-128 x^5-160 x^6-80 x^7-20 x^8-2 x^9\right) \log (2)+\left(-6144 x-8832 x^2-6208 x^3-1664 x^4+832 x^5+776 x^6+276 x^7+48 x^8+\left(1536 x+2304 x^2+1664 x^3+448 x^4-224 x^5-208 x^6-72 x^7-12 x^8\right) \log (2)\right) \log (5)+\left(-3072-5440 x-7648 x^2-4128 x^3-528 x^4+444 x^5+402 x^6+120 x^7+\left(768+1408 x+1984 x^2+1120 x^3+144 x^4-120 x^5-108 x^6-30 x^7\right) \log (2)\right) \log ^2(5)+\left(-3072 x-2880 x^2-1728 x^3-352 x^4+344 x^5+160 x^6+\left(768 x+768 x^2+448 x^3+96 x^4-96 x^5-40 x^6\right) \log (2)\right) \log ^3(5)+\left(-768-848 x-1256 x^2-460 x^3+210 x^4+120 x^5+\left(192+224 x+320 x^2+128 x^3-60 x^4-30 x^5\right) \log (2)\right) \log ^4(5)+\left(-384 x-168 x^2+84 x^3+48 x^4+\left(96 x+48 x^2-24 x^3-12 x^4\right) \log (2)\right) \log ^5(5)+\left(-64-28 x+14 x^2+8 x^3+\left(16+8 x-4 x^2-2 x^3\right) \log (2)\right) \log ^6(5)}{2048+5120 x+6656 x^2+6400 x^3+4864 x^4+2944 x^5+1472 x^6+608 x^7+200 x^8+52 x^9+10 x^{10}+x^{11}+\left(3072 x+7680 x^2+9216 x^3+7680 x^4+4992 x^5+2496 x^6+960 x^7+288 x^8+60 x^9+6 x^{10}\right) \log (5)+\left(1536+3840 x+6144 x^2+7680 x^3+6720 x^4+4128 x^5+1920 x^6+672 x^7+150 x^8+15 x^9\right) \log ^2(5)+\left(1536 x+3840 x^2+4480 x^3+3520 x^4+2080 x^5+848 x^6+200 x^7+20 x^8\right) \log ^3(5)+\left(384+960 x+1440 x^2+1680 x^3+1320 x^4+612 x^5+150 x^6+15 x^7\right) \log ^4(5)+\left(192 x+480 x^2+480 x^3+240 x^4+60 x^5+6 x^6\right) \log ^5(5)+\left(32+80 x+80 x^2+40 x^3+10 x^4+x^5\right) \log ^6(5)} \, dx","Integrate[(-4096 - 9984*x - 9600*x^2 - 4544*x^3 - 864*x^4 + 432*x^5 + 568*x^6 + 300*x^7 + 78*x^8 + 8*x^9 + (1024 + 2560*x + 2560*x^2 + 1280*x^3 + 256*x^4 - 128*x^5 - 160*x^6 - 80*x^7 - 20*x^8 - 2*x^9)*Log[2] + (-6144*x - 8832*x^2 - 6208*x^3 - 1664*x^4 + 832*x^5 + 776*x^6 + 276*x^7 + 48*x^8 + (1536*x + 2304*x^2 + 1664*x^3 + 448*x^4 - 224*x^5 - 208*x^6 - 72*x^7 - 12*x^8)*Log[2])*Log[5] + (-3072 - 5440*x - 7648*x^2 - 4128*x^3 - 528*x^4 + 444*x^5 + 402*x^6 + 120*x^7 + (768 + 1408*x + 1984*x^2 + 1120*x^3 + 144*x^4 - 120*x^5 - 108*x^6 - 30*x^7)*Log[2])*Log[5]^2 + (-3072*x - 2880*x^2 - 1728*x^3 - 352*x^4 + 344*x^5 + 160*x^6 + (768*x + 768*x^2 + 448*x^3 + 96*x^4 - 96*x^5 - 40*x^6)*Log[2])*Log[5]^3 + (-768 - 848*x - 1256*x^2 - 460*x^3 + 210*x^4 + 120*x^5 + (192 + 224*x + 320*x^2 + 128*x^3 - 60*x^4 - 30*x^5)*Log[2])*Log[5]^4 + (-384*x - 168*x^2 + 84*x^3 + 48*x^4 + (96*x + 48*x^2 - 24*x^3 - 12*x^4)*Log[2])*Log[5]^5 + (-64 - 28*x + 14*x^2 + 8*x^3 + (16 + 8*x - 4*x^2 - 2*x^3)*Log[2])*Log[5]^6)/(2048 + 5120*x + 6656*x^2 + 6400*x^3 + 4864*x^4 + 2944*x^5 + 1472*x^6 + 608*x^7 + 200*x^8 + 52*x^9 + 10*x^10 + x^11 + (3072*x + 7680*x^2 + 9216*x^3 + 7680*x^4 + 4992*x^5 + 2496*x^6 + 960*x^7 + 288*x^8 + 60*x^9 + 6*x^10)*Log[5] + (1536 + 3840*x + 6144*x^2 + 7680*x^3 + 6720*x^4 + 4128*x^5 + 1920*x^6 + 672*x^7 + 150*x^8 + 15*x^9)*Log[5]^2 + (1536*x + 3840*x^2 + 4480*x^3 + 3520*x^4 + 2080*x^5 + 848*x^6 + 200*x^7 + 20*x^8)*Log[5]^3 + (384 + 960*x + 1440*x^2 + 1680*x^3 + 1320*x^4 + 612*x^5 + 150*x^6 + 15*x^7)*Log[5]^4 + (192*x + 480*x^2 + 480*x^3 + 240*x^4 + 60*x^5 + 6*x^6)*Log[5]^5 + (32 + 80*x + 80*x^2 + 40*x^3 + 10*x^4 + x^5)*Log[5]^6),x]","\text{Result too large to show}","\left(\frac{\frac{4 x^2}{(x+\log (5))^2+4}+x}{(x+2)^2}-4+\log (2)\right)^2",1,"Result too large to show","B",0
1186,1,32,27,0.01291,"\int \frac{\left(12 x^2-256 x^3+112 x^4\right) \log (\log (4))}{1-64 x+1080 x^2-1800 x^3+1040 x^4-224 x^5+16 x^6} \, dx","Integrate[((12*x^2 - 256*x^3 + 112*x^4)*Log[Log[4]])/(1 - 64*x + 1080*x^2 - 1800*x^3 + 1040*x^4 - 224*x^5 + 16*x^6),x]","\frac{4 \left(28 x^2-32 x+1\right) \log (\log (4))}{-16 x^3+112 x^2-128 x+4}","\frac{x^2 \log (\log (4))}{(2-x) (x-4)+x+\frac{1}{4 x}}",1,"(4*(1 - 32*x + 28*x^2)*Log[Log[4]])/(4 - 128*x + 112*x^2 - 16*x^3)","A",1
1187,1,20,22,0.3418215,"\int \frac{24+12 x+(4-12 x) \log \left(\frac{3}{-1+3 x}\right)}{-9+27 x+\left(-12+30 x+18 x^2\right) \log \left(\frac{3}{-1+3 x}\right)+\left(-4+8 x+11 x^2+3 x^3\right) \log ^2\left(\frac{3}{-1+3 x}\right)} \, dx","Integrate[(24 + 12*x + (4 - 12*x)*Log[3/(-1 + 3*x)])/(-9 + 27*x + (-12 + 30*x + 18*x^2)*Log[3/(-1 + 3*x)] + (-4 + 8*x + 11*x^2 + 3*x^3)*Log[3/(-1 + 3*x)]^2),x]","\frac{4}{(x+2) \log \left(\frac{3}{3 x-1}\right)+3}","\frac{4}{(x+2) \log \left(\frac{3}{3 x-1}\right)+3}+2",1,"4/(3 + (2 + x)*Log[3/(-1 + 3*x)])","A",1
1188,1,19,20,0.1172763,"\int \frac{-3 x+2 x^2+4 e^{-2 x+4 e^{-2 x} x^2} (2-2 x) x^2}{x} \, dx","Integrate[(-3*x + 2*x^2 + 4*E^(-2*x + (4*x^2)/E^(2*x))*(2 - 2*x)*x^2)/x,x]","x^2+e^{4 e^{-2 x} x^2}-3 x","x^2+e^{4 e^{-2 x} x^2}-3 x-3",1,"E^((4*x^2)/E^(2*x)) - 3*x + x^2","A",1
1189,0,0,22,0.8972828,"\int \frac{-2+\left(-4 x-2 x^2\right) \log (5)+\left(\left(-1+4 x+x^2\right) \log (5)+\log \left(x^2\right)\right) \log \left(\left(-1+4 x+x^2\right) \log (5)+\log \left(x^2\right)\right)}{\left(\left(-x+4 x^2+x^3\right) \log (5)+x \log \left(x^2\right)\right) \log \left(\left(-1+4 x+x^2\right) \log (5)+\log \left(x^2\right)\right)} \, dx","Integrate[(-2 + (-4*x - 2*x^2)*Log[5] + ((-1 + 4*x + x^2)*Log[5] + Log[x^2])*Log[(-1 + 4*x + x^2)*Log[5] + Log[x^2]])/(((-x + 4*x^2 + x^3)*Log[5] + x*Log[x^2])*Log[(-1 + 4*x + x^2)*Log[5] + Log[x^2]]),x]","\int \frac{-2+\left(-4 x-2 x^2\right) \log (5)+\left(\left(-1+4 x+x^2\right) \log (5)+\log \left(x^2\right)\right) \log \left(\left(-1+4 x+x^2\right) \log (5)+\log \left(x^2\right)\right)}{\left(\left(-x+4 x^2+x^3\right) \log (5)+x \log \left(x^2\right)\right) \log \left(\left(-1+4 x+x^2\right) \log (5)+\log \left(x^2\right)\right)} \, dx","\log \left(\frac{x}{\log \left(\left(x^2+4 x-1\right) \log (5)+\log \left(x^2\right)\right)}\right)",1,"Integrate[(-2 + (-4*x - 2*x^2)*Log[5] + ((-1 + 4*x + x^2)*Log[5] + Log[x^2])*Log[(-1 + 4*x + x^2)*Log[5] + Log[x^2]])/(((-x + 4*x^2 + x^3)*Log[5] + x*Log[x^2])*Log[(-1 + 4*x + x^2)*Log[5] + Log[x^2]]), x]","F",-1
1190,1,10,12,0.000789,"\int \frac{-3+5 x}{3 x} \, dx","Integrate[(-3 + 5*x)/(3*x),x]","\frac{5 x}{3}-\log (x)","\frac{5 x}{3}-\log (x)+e-2",1,"(5*x)/3 - Log[x]","A",1
1191,1,18,24,0.0130025,"\int \frac{72 x+108 x^2+36 x^3+\left(-36 x^2-24 x^3\right) \log (2)+4 x^3 \log ^2(2)}{\log ^2(2)} \, dx","Integrate[(72*x + 108*x^2 + 36*x^3 + (-36*x^2 - 24*x^3)*Log[2] + 4*x^3*Log[2]^2)/Log[2]^2,x]","\frac{x^2 (x (\log (2)-3)-6)^2}{\log ^2(2)}","x^4 \left(\frac{3 (x+2)}{x \log (2)}-1\right)^2+\frac{5}{3}",1,"(x^2*(-6 + x*(-3 + Log[2]))^2)/Log[2]^2","A",1
1192,1,43,27,0.037537,"\int \left(-54-24 e-72 e^5-24 e^{10}+16 e^{4 x}+e^{3 x} \left(-72-48 e^5\right)+e^{2 x} \left(84+16 e+144 e^5+48 e^{10}-48 x\right)+72 x+e^x \left(18-24 e-72 e^{10}-16 e^{15}+72 x+e^5 (-60-16 e+48 x)\right)\right) \, dx","Integrate[-54 - 24*E - 72*E^5 - 24*E^10 + 16*E^(4*x) + E^(3*x)*(-72 - 48*E^5) + E^(2*x)*(84 + 16*E + 144*E^5 + 48*E^10 - 48*x) + 72*x + E^x*(18 - 24*E - 72*E^10 - 16*E^15 + 72*x + E^5*(-60 - 16*E + 48*x)),x]","\frac{1}{4} \left(-12 x-12 e^x+4 e^{2 x}-8 e^{x+5}+4 e^{10}+12 e^5+4 e+9\right)^2","4 \left(-\left(-e^x+\frac{3}{2}+e^5\right)^2+3 x-e\right)^2",1,"(9 + 4*E + 12*E^5 + 4*E^10 - 12*E^x + 4*E^(2*x) - 8*E^(5 + x) - 12*x)^2/4","A",1
1193,1,15,23,0.0963229,"\int \frac{4 e^2+4 e^{1+x} x^2}{e^2-2 e^{1+x} x+e^{2 x} x^2} \, dx","Integrate[(4*E^2 + 4*E^(1 + x)*x^2)/(E^2 - 2*E^(1 + x)*x + E^(2*x)*x^2),x]","-\frac{4 e x}{e^x x-e}","\frac{4 x^2}{e^{1-x}-x}+4 x-2",1,"(-4*E*x)/(-E + E^x*x)","A",1
1194,1,58,27,0.0321497,"\int \frac{6400 x+4800 x^2+2480 x^3+660 x^4+108 x^5+8 x^6+e^x \left(-1600-1200 x-300 x^2-25 x^3\right)}{1600+1200 x+300 x^2+25 x^3} \, dx","Integrate[(6400*x + 4800*x^2 + 2480*x^3 + 660*x^4 + 108*x^5 + 8*x^6 + E^x*(-1600 - 1200*x - 300*x^2 - 25*x^3))/(1600 + 1200*x + 300*x^2 + 25*x^3),x]","\frac{2}{25} (x+4)^4-\frac{28}{25} (x+4)^3+\frac{42}{5} (x+4)^2-\frac{208 (x+4)}{5}-e^x-\frac{7168}{25 (x+4)}+\frac{8192}{25 (x+4)^2}","\frac{2}{25} x^2 \left(\frac{x^2}{x+4}+5\right)^2-e^x+1",1,"-E^x + 8192/(25*(4 + x)^2) - 7168/(25*(4 + x)) - (208*(4 + x))/5 + (42*(4 + x)^2)/5 - (28*(4 + x)^3)/25 + (2*(4 + x)^4)/25","B",1
1195,1,25,29,0.2141347,"\int \frac{\left(20-22 x+6 x^2\right) \log (3)+\left(12 x-3 x^2\right) \log (3) \log \left(4 x-x^2\right) \log \left(\log \left(4 x-x^2\right)\right)+\left(8 x^2-2 x^3\right) \log (3) \log \left(4 x-x^2\right) \log ^2\left(\log \left(4 x-x^2\right)\right)}{\left(-4 x+x^2\right) \log \left(4 x-x^2\right) \log ^2\left(\log \left(4 x-x^2\right)\right)} \, dx","Integrate[((20 - 22*x + 6*x^2)*Log[3] + (12*x - 3*x^2)*Log[3]*Log[4*x - x^2]*Log[Log[4*x - x^2]] + (8*x^2 - 2*x^3)*Log[3]*Log[4*x - x^2]*Log[Log[4*x - x^2]]^2)/((-4*x + x^2)*Log[4*x - x^2]*Log[Log[4*x - x^2]]^2),x]","\log (3) \left(\frac{5-3 x}{\log (\log (-((x-4) x)))}-x^2\right)","\log (3) \left(\frac{\left(\frac{5}{x}-3\right) x}{\log (\log ((4-x) x))}-x^2\right)",1,"Log[3]*(-x^2 + (5 - 3*x)/Log[Log[-((-4 + x)*x)]])","A",1
1196,1,7,8,0.0003575,"\int \frac{2 e^{16}}{x} \, dx","Integrate[(2*E^16)/x,x]","2 e^{16} \log (x)","e^{16} \log \left(x^2\right)",1,"2*E^16*Log[x]","A",1
1197,1,27,27,0.3528239,"\int \frac{e^{\frac{-2 x+3 x^2+2 x^3+8 e^8 \log \left(x^2\right)}{2+x}} \left(-8 x+24 x^2+30 x^3+8 x^4+e^8 (64+32 x)-16 e^8 x \log \left(x^2\right)\right)}{4 x+4 x^2+x^3} \, dx","Integrate[(E^((-2*x + 3*x^2 + 2*x^3 + 8*E^8*Log[x^2])/(2 + x))*(-8*x + 24*x^2 + 30*x^3 + 8*x^4 + E^8*(64 + 32*x) - 16*E^8*x*Log[x^2]))/(4*x + 4*x^2 + x^3),x]","2 e^{2 x^2-x} \left(x^2\right)^{\frac{8 e^8}{x+2}}","2 e^{2 x^2+\frac{8 e^8 \log \left(x^2\right)}{x+2}-x}",1,"2*E^(-x + 2*x^2)*(x^2)^((8*E^8)/(2 + x))","A",1
1198,1,21,21,0.0156525,"\int \frac{-2+x^3-3 e^{-3 x} x^3-2 x^4 \log \left(4+e^3\right)}{x^3} \, dx","Integrate[(-2 + x^3 - (3*x^3)/E^(3*x) - 2*x^4*Log[4 + E^3])/x^3,x]","\frac{1}{x^2}+x^2 \left(-\log \left(4+e^3\right)\right)+x+e^{-3 x}","\frac{1}{x^2}+x^2 \left(-\log \left(4+e^3\right)\right)+x+e^{-3 x}",1,"E^(-3*x) + x^(-2) + x - x^2*Log[4 + E^3]","A",1
1199,1,37,31,0.2559137,"\int \frac{10 e^x x-10 x^2+\left(-25 x-10 x^2+e^x (25+10 x)\right) \log (5+2 x)+e^{-x^3+x^2 \log \left(-5 e^x+5 x\right)} \left(2 e^x-2 x+\left(-5 x^2+13 x^3+6 x^4+e^x \left(-10 x^2-4 x^3\right)\right) \log (5+2 x)+\left(-10 x^2-4 x^3+e^x \left(10 x+4 x^2\right)\right) \log (5+2 x) \log \left(-5 e^x+5 x\right)\right)}{-5 x-2 x^2+e^x (5+2 x)} \, dx","Integrate[(10*E^x*x - 10*x^2 + (-25*x - 10*x^2 + E^x*(25 + 10*x))*Log[5 + 2*x] + E^(-x^3 + x^2*Log[-5*E^x + 5*x])*(2*E^x - 2*x + (-5*x^2 + 13*x^3 + 6*x^4 + E^x*(-10*x^2 - 4*x^3))*Log[5 + 2*x] + (-10*x^2 - 4*x^3 + E^x*(10*x + 4*x^2))*Log[5 + 2*x]*Log[-5*E^x + 5*x]))/(-5*x - 2*x^2 + E^x*(5 + 2*x)),x]","e^{-x^3} \left(5 x-5 e^x\right)^{x^2} \log (2 x+5)+5 x \log (2 x+5)","\left(e^{x^2 \left(\log \left(5 \left(x-e^x\right)\right)-x\right)}+5 x\right) \log (2 x+5)",1,"5*x*Log[5 + 2*x] + ((-5*E^x + 5*x)^x^2*Log[5 + 2*x])/E^x^3","A",1
1200,1,25,31,0.0148874,"\int \frac{x \left(-3 x^2+48 x^3-144 x^4+\left(-1+144 x^2\right) \log (2)\right)}{e^2 \left(-x^2-\log (2)\right) \left(36 x^5+36 x^3 \log (2)\right)} \, dx","Integrate[(x*(-3*x^2 + 48*x^3 - 144*x^4 + (-1 + 144*x^2)*Log[2]))/(E^2*(-x^2 - Log[2])*(36*x^5 + 36*x^3*Log[2])),x]","-\frac{(1-12 x)^2}{36 e^2 x \left(x^2+\log (2)\right)}","\frac{\left(4-\frac{1}{3 x}\right)^2}{4 e^2 \left(-x-\frac{\log (2)}{x}\right)}",1,"-1/36*(1 - 12*x)^2/(E^2*x*(x^2 + Log[2]))","A",1
1201,1,27,29,0.2316994,"\int \frac{-2+e^{-50+2 e^x-2 x} \left(4 x-4 e^x x\right)}{x \log ^3\left(\frac{e^{4-e^{-50+2 e^x-2 x}}}{x}\right)} \, dx","Integrate[(-2 + E^(-50 + 2*E^x - 2*x)*(4*x - 4*E^x*x))/(x*Log[E^(4 - E^(-50 + 2*E^x - 2*x))/x]^3),x]","-\frac{1}{\log ^2\left(\frac{e^{4-e^{-2 x+2 e^x-50}}}{x}\right)}","1-\frac{1}{\log ^2\left(\frac{e^{4-e^{-2 x+2 e^x-50}}}{x}\right)}",1,"-Log[E^(4 - E^(-50 + 2*E^x - 2*x))/x]^(-2)","A",1
1202,1,23,27,0.4563646,"\int \frac{e^{2 x-x^2} \left(-174-e^5+141 x+78 x^2-18 x^3+e^5 \left(-4+2 x+2 x^2\right) \log (2+x)\right)}{2+x} \, dx","Integrate[(E^(2*x - x^2)*(-174 - E^5 + 141*x + 78*x^2 - 18*x^3 + E^5*(-4 + 2*x + 2*x^2)*Log[2 + x]))/(2 + x),x]","e^{-((x-2) x)} \left(9 x-e^5 \log (x+2)-48\right)","8-e^{-((x-2) x)} \left(-9 (x-5)+e^5 \log (x+2)+3\right)",1,"(-48 + 9*x - E^5*Log[2 + x])/E^((-2 + x)*x)","A",1
1203,1,12,24,0.0030301,"\int \frac{-5-2 x}{3+2 x} \, dx","Integrate[(-5 - 2*x)/(3 + 2*x),x]","-x-\log (2 x+3)","\log \left(-\frac{e^{2-x}}{\left(2+e^5\right) (2 x+3)}\right)",1,"-x - Log[3 + 2*x]","A",1
1204,1,43,25,0.1966584,"\int \frac{e^{4/3} \left(-x+3 x^2-2 x^3+x^4\right)+e^{4/3} \left(-2 x+4 x^2-2 x^3\right) \log (x)+e^{4/3} \left(-2 x+x^2\right) \log ^2(x)}{5-10 x+15 x^2-10 x^3+5 x^4+\left(10-20 x+20 x^2-10 x^3\right) \log (x)+\left(5-10 x+5 x^2\right) \log ^2(x)} \, dx","Integrate[(E^(4/3)*(-x + 3*x^2 - 2*x^3 + x^4) + E^(4/3)*(-2*x + 4*x^2 - 2*x^3)*Log[x] + E^(4/3)*(-2*x + x^2)*Log[x]^2)/(5 - 10*x + 15*x^2 - 10*x^3 + 5*x^4 + (10 - 20*x + 20*x^2 - 10*x^3)*Log[x] + (5 - 10*x + 5*x^2)*Log[x]^2),x]","\frac{1}{5} e^{4/3} \left(\frac{x^2}{(x-1) \left(-x^2+x+x \log (x)-\log (x)-1\right)}+x+\frac{1}{x-1}\right)","\frac{e^{4/3} x^2}{5 \left(x+\frac{1}{x-\log (x)}-1\right)}",1,"(E^(4/3)*((-1 + x)^(-1) + x + x^2/((-1 + x)*(-1 + x - x^2 - Log[x] + x*Log[x]))))/5","A",1
1205,1,20,20,0.038762,"\int e^{8+2 e^{4+x} \left(x+x^2\right)} \left(8 x+e^{4+x} \left(8 x^2+24 x^3+8 x^4\right)\right) \, dx","Integrate[E^(8 + 2*E^(4 + x)*(x + x^2))*(8*x + E^(4 + x)*(8*x^2 + 24*x^3 + 8*x^4)),x]","4 e^{2 e^{x+4} x (x+1)+8} x^2","4 e^{2 e^{x+4} x (x+1)+8} x^2",1,"4*E^(8 + 2*E^(4 + x)*x*(1 + x))*x^2","A",1
1206,1,20,20,0.1113213,"\int \frac{e^{\log ^2\left(x^2 \log (x)\right)} \left((6-3 \log (3)) \log (x)+(-12+6 \log (3)+(-24+12 \log (3)) \log (x)) \log \left(x^2 \log (x)\right)\right)}{x^2 \log (x)} \, dx","Integrate[(E^Log[x^2*Log[x]]^2*((6 - 3*Log[3])*Log[x] + (-12 + 6*Log[3] + (-24 + 12*Log[3])*Log[x])*Log[x^2*Log[x]]))/(x^2*Log[x]),x]","\frac{3 (\log (3)-2) e^{\log ^2\left(x^2 \log (x)\right)}}{x}","\frac{3 (\log (3)-2) e^{\log ^2\left(x^2 \log (x)\right)}}{x}",1,"(3*E^Log[x^2*Log[x]]^2*(-2 + Log[3]))/x","A",1
1207,1,26,28,0.0643289,"\int \frac{e^{\frac{3-x^2+5 x^3}{-1+5 x}} \left(1-10 x+25 x^2+e^{16} \left(1-25 x+27 x^2-20 x^3+50 x^4\right)\right)+e^{\frac{3-x^2+5 x^3}{-1+5 x}} \left(1-25 x+27 x^2-20 x^3+50 x^4\right) \log (x)}{5-50 x+125 x^2} \, dx","Integrate[(E^((3 - x^2 + 5*x^3)/(-1 + 5*x))*(1 - 10*x + 25*x^2 + E^16*(1 - 25*x + 27*x^2 - 20*x^3 + 50*x^4)) + E^((3 - x^2 + 5*x^3)/(-1 + 5*x))*(1 - 25*x + 27*x^2 - 20*x^3 + 50*x^4)*Log[x])/(5 - 50*x + 125*x^2),x]","\frac{1}{5} e^{x^2+\frac{3}{5 x-1}} x \left(\log (x)+e^{16}\right)","\frac{1}{5} e^{x \left(x-\frac{3}{x-5 x^2}\right)} x \left(\log (x)+e^{16}\right)",1,"(E^(x^2 + 3/(-1 + 5*x))*x*(E^16 + Log[x]))/5","A",1
1208,1,14,14,0.0396752,"\int \frac{e^{12+\frac{2-x^2-x \log (x)}{x}} \left(2+x^2\right)}{x} \, dx","Integrate[(E^(12 + (2 - x^2 - x*Log[x])/x)*(2 + x^2))/x,x]","-e^{-x+\frac{2}{x}+12}","-e^{-x+\frac{2}{x}+12}",1,"-E^(12 + 2/x - x)","A",1
1209,1,23,28,0.0162559,"\int \frac{-3+770 e+5 e^4}{243-3 x+e^4 (-405+5 x)+e \left(3240-850 x+10 x^2\right)} \, dx","Integrate[(-3 + 770*E + 5*E^4)/(243 - 3*x + E^4*(-405 + 5*x) + E*(3240 - 850*x + 10*x^2)),x]","\log (81-x)-\log \left(-10 e (x-4)-5 e^4+3\right)","\log \left(\frac{x-81}{-x+\frac{\frac{3}{5}-e^4}{2 e}+4}\right)",1,"-Log[3 - 5*E^4 - 10*E*(-4 + x)] + Log[81 - x]","A",1
1210,1,132,26,0.2159091,"\int \frac{e^{40} \left(9216 x^2-6912 x^3+1728 x^4-144 x^5\right)+e^{40} \left(9216 x-6912 x^2+1728 x^3-144 x^4\right) \log (x)+\left(e^{40} \left(-9220-4 x+5760 x^2-2880 x^3+540 x^4-36 x^5\right)+e^{30} \left(27648 x^3-20736 x^4+5184 x^5-432 x^6\right)+e^{30} \left(55296 x^2-41472 x^3+10368 x^4-864 x^5\right) \log (x)+e^{30} \left(27648 x-20736 x^2+5184 x^3-432 x^4\right) \log ^2(x)\right) \log \left(2305-2304 x+864 x^2-144 x^3+9 x^4\right)+\left(e^{30} \left(-27660 x-12 x^2+17280 x^3-8640 x^4+1620 x^5-108 x^6\right)+e^{20} \left(27648 x^4-20736 x^5+5184 x^6-432 x^7\right)+\left(e^{30} \left(-27660-12 x+17280 x^2-8640 x^3+1620 x^4-108 x^5\right)+e^{20} \left(82944 x^3-62208 x^4+15552 x^5-1296 x^6\right)\right) \log (x)+e^{20} \left(82944 x^2-62208 x^3+15552 x^4-1296 x^5\right) \log ^2(x)+e^{20} \left(27648 x-20736 x^2+5184 x^3-432 x^4\right) \log ^3(x)\right) \log ^2\left(2305-2304 x+864 x^2-144 x^3+9 x^4\right)+\left(e^{20} \left(-27660 x^2-12 x^3+17280 x^4-8640 x^5+1620 x^6-108 x^7\right)+e^{10} \left(9216 x^5-6912 x^6+1728 x^7-144 x^8\right)+\left(e^{20} \left(-55320 x-24 x^2+34560 x^3-17280 x^4+3240 x^5-216 x^6\right)+e^{10} \left(36864 x^4-27648 x^5+6912 x^6-576 x^7\right)\right) \log (x)+\left(e^{20} \left(-27660-12 x+17280 x^2-8640 x^3+1620 x^4-108 x^5\right)+e^{10} \left(55296 x^3-41472 x^4+10368 x^5-864 x^6\right)\right) \log ^2(x)+e^{10} \left(36864 x^2-27648 x^3+6912 x^4-576 x^5\right) \log ^3(x)+e^{10} \left(9216 x-6912 x^2+1728 x^3-144 x^4\right) \log ^4(x)\right) \log ^3\left(2305-2304 x+864 x^2-144 x^3+9 x^4\right)+\left(e^{10} \left(-9220 x^3-4 x^4+5760 x^5-2880 x^6+540 x^7-36 x^8\right)+e^{10} \left(-27660 x^2-12 x^3+17280 x^4-8640 x^5+1620 x^6-108 x^7\right) \log (x)+e^{10} \left(-27660 x-12 x^2+17280 x^3-8640 x^4+1620 x^5-108 x^6\right) \log ^2(x)+e^{10} \left(-9220-4 x+5760 x^2-2880 x^3+540 x^4-36 x^5\right) \log ^3(x)\right) \log ^4\left(2305-2304 x+864 x^2-144 x^3+9 x^4\right)}{\left(2305 x^6-2304 x^7+864 x^8-144 x^9+9 x^{10}+\left(11525 x^5-11520 x^6+4320 x^7-720 x^8+45 x^9\right) \log (x)+\left(23050 x^4-23040 x^5+8640 x^6-1440 x^7+90 x^8\right) \log ^2(x)+\left(23050 x^3-23040 x^4+8640 x^5-1440 x^6+90 x^7\right) \log ^3(x)+\left(11525 x^2-11520 x^3+4320 x^4-720 x^5+45 x^6\right) \log ^4(x)+\left(2305 x-2304 x^2+864 x^3-144 x^4+9 x^5\right) \log ^5(x)\right) \log ^5\left(2305-2304 x+864 x^2-144 x^3+9 x^4\right)} \, dx","Integrate[(E^40*(9216*x^2 - 6912*x^3 + 1728*x^4 - 144*x^5) + E^40*(9216*x - 6912*x^2 + 1728*x^3 - 144*x^4)*Log[x] + (E^40*(-9220 - 4*x + 5760*x^2 - 2880*x^3 + 540*x^4 - 36*x^5) + E^30*(27648*x^3 - 20736*x^4 + 5184*x^5 - 432*x^6) + E^30*(55296*x^2 - 41472*x^3 + 10368*x^4 - 864*x^5)*Log[x] + E^30*(27648*x - 20736*x^2 + 5184*x^3 - 432*x^4)*Log[x]^2)*Log[2305 - 2304*x + 864*x^2 - 144*x^3 + 9*x^4] + (E^30*(-27660*x - 12*x^2 + 17280*x^3 - 8640*x^4 + 1620*x^5 - 108*x^6) + E^20*(27648*x^4 - 20736*x^5 + 5184*x^6 - 432*x^7) + (E^30*(-27660 - 12*x + 17280*x^2 - 8640*x^3 + 1620*x^4 - 108*x^5) + E^20*(82944*x^3 - 62208*x^4 + 15552*x^5 - 1296*x^6))*Log[x] + E^20*(82944*x^2 - 62208*x^3 + 15552*x^4 - 1296*x^5)*Log[x]^2 + E^20*(27648*x - 20736*x^2 + 5184*x^3 - 432*x^4)*Log[x]^3)*Log[2305 - 2304*x + 864*x^2 - 144*x^3 + 9*x^4]^2 + (E^20*(-27660*x^2 - 12*x^3 + 17280*x^4 - 8640*x^5 + 1620*x^6 - 108*x^7) + E^10*(9216*x^5 - 6912*x^6 + 1728*x^7 - 144*x^8) + (E^20*(-55320*x - 24*x^2 + 34560*x^3 - 17280*x^4 + 3240*x^5 - 216*x^6) + E^10*(36864*x^4 - 27648*x^5 + 6912*x^6 - 576*x^7))*Log[x] + (E^20*(-27660 - 12*x + 17280*x^2 - 8640*x^3 + 1620*x^4 - 108*x^5) + E^10*(55296*x^3 - 41472*x^4 + 10368*x^5 - 864*x^6))*Log[x]^2 + E^10*(36864*x^2 - 27648*x^3 + 6912*x^4 - 576*x^5)*Log[x]^3 + E^10*(9216*x - 6912*x^2 + 1728*x^3 - 144*x^4)*Log[x]^4)*Log[2305 - 2304*x + 864*x^2 - 144*x^3 + 9*x^4]^3 + (E^10*(-9220*x^3 - 4*x^4 + 5760*x^5 - 2880*x^6 + 540*x^7 - 36*x^8) + E^10*(-27660*x^2 - 12*x^3 + 17280*x^4 - 8640*x^5 + 1620*x^6 - 108*x^7)*Log[x] + E^10*(-27660*x - 12*x^2 + 17280*x^3 - 8640*x^4 + 1620*x^5 - 108*x^6)*Log[x]^2 + E^10*(-9220 - 4*x + 5760*x^2 - 2880*x^3 + 540*x^4 - 36*x^5)*Log[x]^3)*Log[2305 - 2304*x + 864*x^2 - 144*x^3 + 9*x^4]^4)/((2305*x^6 - 2304*x^7 + 864*x^8 - 144*x^9 + 9*x^10 + (11525*x^5 - 11520*x^6 + 4320*x^7 - 720*x^8 + 45*x^9)*Log[x] + (23050*x^4 - 23040*x^5 + 8640*x^6 - 1440*x^7 + 90*x^8)*Log[x]^2 + (23050*x^3 - 23040*x^4 + 8640*x^5 - 1440*x^6 + 90*x^7)*Log[x]^3 + (11525*x^2 - 11520*x^3 + 4320*x^4 - 720*x^5 + 45*x^6)*Log[x]^4 + (2305*x - 2304*x^2 + 864*x^3 - 144*x^4 + 9*x^5)*Log[x]^5)*Log[2305 - 2304*x + 864*x^2 - 144*x^3 + 9*x^4]^5),x]","\frac{e^{10} \left(4 (x+\log (x))^3 \log ^3\left(9 x^4-144 x^3+864 x^2-2304 x+2305\right)+6 e^{10} (x+\log (x))^2 \log ^2\left(9 x^4-144 x^3+864 x^2-2304 x+2305\right)+4 e^{20} (x+\log (x)) \log \left(9 x^4-144 x^3+864 x^2-2304 x+2305\right)+e^{30}\right)}{(x+\log (x))^4 \log ^4\left(9 x^4-144 x^3+864 x^2-2304 x+2305\right)}","\left(\frac{e^{10}}{\log \left(9 (x-4)^4+1\right) (x+\log (x))}+1\right)^4",1,"(E^10*(E^30 + 4*E^20*(x + Log[x])*Log[2305 - 2304*x + 864*x^2 - 144*x^3 + 9*x^4] + 6*E^10*(x + Log[x])^2*Log[2305 - 2304*x + 864*x^2 - 144*x^3 + 9*x^4]^2 + 4*(x + Log[x])^3*Log[2305 - 2304*x + 864*x^2 - 144*x^3 + 9*x^4]^3))/((x + Log[x])^4*Log[2305 - 2304*x + 864*x^2 - 144*x^3 + 9*x^4]^4)","B",1
1211,1,18,29,0.0152034,"\int \frac{1+e^x \left(4 x+4 x^2\right)+e^{2 x} \left(2 x^2+2 x^3\right)}{x} \, dx","Integrate[(1 + E^x*(4*x + 4*x^2) + E^(2*x)*(2*x^2 + 2*x^3))/x,x]","e^{2 x} x^2+4 e^x x+\log (x)","-x+\log \left(\frac{1}{3} e^{\left(e^x x+2\right)^2+x}\right)+\log \left(\frac{x}{5}\right)-2",1,"4*E^x*x + E^(2*x)*x^2 + Log[x]","A",1
1212,1,53,36,0.874628,"\int \frac{390625+e^{10/x}-625000 x+437500 x^2-175000 x^3+43750 x^4-7000 x^5+700 x^6-40 x^7+x^8+e^{5/x} \left(1250-1000 x+300 x^2-40 x^3+2 x^4\right)+\exp \left(\frac{1250+2 e^{5/x}-1000 x+301 x^2-40 x^3+2 x^4}{625+e^{5/x}-500 x+150 x^2-20 x^3+x^4}\right) \left(e^{5/x} (-80-32 x)-20000 x+8000 x^2-320 x^4+32 x^5\right)+\exp \left(\frac{2 \left(1250+2 e^{5/x}-1000 x+301 x^2-40 x^3+2 x^4\right)}{625+e^{5/x}-500 x+150 x^2-20 x^3+x^4}\right) \left(10000 x-4000 x^2+160 x^4-16 x^5+e^{5/x} (40+16 x)\right)}{390625+e^{10/x}-625000 x+437500 x^2-175000 x^3+43750 x^4-7000 x^5+700 x^6-40 x^7+x^8+e^{5/x} \left(1250-1000 x+300 x^2-40 x^3+2 x^4\right)} \, dx","Integrate[(390625 + E^(10/x) - 625000*x + 437500*x^2 - 175000*x^3 + 43750*x^4 - 7000*x^5 + 700*x^6 - 40*x^7 + x^8 + E^(5/x)*(1250 - 1000*x + 300*x^2 - 40*x^3 + 2*x^4) + E^((1250 + 2*E^(5/x) - 1000*x + 301*x^2 - 40*x^3 + 2*x^4)/(625 + E^(5/x) - 500*x + 150*x^2 - 20*x^3 + x^4))*(E^(5/x)*(-80 - 32*x) - 20000*x + 8000*x^2 - 320*x^4 + 32*x^5) + E^((2*(1250 + 2*E^(5/x) - 1000*x + 301*x^2 - 40*x^3 + 2*x^4))/(625 + E^(5/x) - 500*x + 150*x^2 - 20*x^3 + x^4))*(10000*x - 4000*x^2 + 160*x^4 - 16*x^5 + E^(5/x)*(40 + 16*x)))/(390625 + E^(10/x) - 625000*x + 437500*x^2 - 175000*x^3 + 43750*x^4 - 7000*x^5 + 700*x^6 - 40*x^7 + x^8 + E^(5/x)*(1250 - 1000*x + 300*x^2 - 40*x^3 + 2*x^4)),x]","-16 e^{\frac{x^2}{(x-5)^4+e^{5/x}}+2}+4 e^{\frac{2 x^2}{(x-5)^4+e^{5/x}}+4}+x","4 \left(2-e^{\frac{x^2}{(5-x)^4+e^{5/x}}+2}\right)^2+x-1",1,"-16*E^(2 + x^2/(E^(5/x) + (-5 + x)^4)) + 4*E^(4 + (2*x^2)/(E^(5/x) + (-5 + x)^4)) + x","A",1
1213,1,42,31,0.12321,"\int \frac{-5+10 x-26 x^2+21 x^3-22 x^4+e^{4 x} \left(-1+x-2 x^2\right)+e^{2 x} \left(2 x-2 x^2+4 x^3\right)+\left(-5+10 x-28 x^2+22 x^3-22 x^4+e^{4 x} \left(-1-4 x+6 x^2-8 x^3\right)+e^{2 x} \left(4 x+2 x^2-4 x^3+8 x^4\right)\right) \log (x)}{5-10 x+25 x^2-20 x^3+20 x^4} \, dx","Integrate[(-5 + 10*x - 26*x^2 + 21*x^3 - 22*x^4 + E^(4*x)*(-1 + x - 2*x^2) + E^(2*x)*(2*x - 2*x^2 + 4*x^3) + (-5 + 10*x - 28*x^2 + 22*x^3 - 22*x^4 + E^(4*x)*(-1 - 4*x + 6*x^2 - 8*x^3) + E^(2*x)*(4*x + 2*x^2 - 4*x^3 + 8*x^4))*Log[x])/(5 - 10*x + 25*x^2 - 20*x^3 + 20*x^4),x]","-\frac{x \left(11 x^2-2 e^{2 x} x-5 x+e^{4 x}+5\right) \log (x)}{5 \left(2 x^2-x+1\right)}","\frac{1}{5} x \left(\frac{\left(x-e^{2 x}\right)^2}{-2 x^2+x-1}-5\right) \log (x)",1,"-1/5*(x*(5 + E^(4*x) - 5*x - 2*E^(2*x)*x + 11*x^2)*Log[x])/(1 - x + 2*x^2)","A",1
1214,1,39,26,0.1600788,"\int \frac{-12+4 x^2+e^{25-9 e^{2 x}+2 x} \left(216 x-72 x^3\right)+\left(e^{25-9 e^{2 x}} \left(6+2 x^2\right)+\left(6+2 x^2\right) \log (x)\right) \log \left(e^{50-18 e^{2 x}}+2 e^{25-9 e^{2 x}} \log (x)+\log ^2(x)\right)}{e^{25-9 e^{2 x}} x^2+x^2 \log (x)} \, dx","Integrate[(-12 + 4*x^2 + E^(25 - 9*E^(2*x) + 2*x)*(216*x - 72*x^3) + (E^(25 - 9*E^(2*x))*(6 + 2*x^2) + (6 + 2*x^2)*Log[x])*Log[E^(50 - 18*E^(2*x)) + 2*E^(25 - 9*E^(2*x))*Log[x] + Log[x]^2])/(E^(25 - 9*E^(2*x))*x^2 + x^2*Log[x]),x]","\frac{2 \left(x^2-3\right) \log \left(e^{-18 e^{2 x}} \left(e^{9 e^{2 x}} \log (x)+e^{25}\right)^2\right)}{x}","2 \left(x-\frac{3}{x}\right) \log \left(\left(e^{25-9 e^{2 x}}+\log (x)\right)^2\right)",1,"(2*(-3 + x^2)*Log[(E^25 + E^(9*E^(2*x))*Log[x])^2/E^(18*E^(2*x))])/x","A",1
1215,1,31,29,0.2618958,"\int \frac{-25 e^4 x^2+e^{\frac{-7-x+x^2}{x}} \left(-112-16 x^2+16 e^4 x^2\right)}{-25 x^2+16 e^{\frac{-7-x+x^2}{x}} x^2} \, dx","Integrate[(-25*E^4*x^2 + E^((-7 - x + x^2)/x)*(-112 - 16*x^2 + 16*E^4*x^2))/(-25*x^2 + 16*E^((-7 - x + x^2)/x)*x^2),x]","e^4 x+\frac{7}{x}-\log \left(16 e^x-25 e^{\frac{7}{x}+1}\right)","e^4 x-\log \left(\frac{25}{16}-e^{\frac{x^2-x-7}{x}}\right)",1,"7/x + E^4*x - Log[-25*E^(1 + 7/x) + 16*E^x]","A",1
1216,1,17,24,0.2172673,"\int \frac{-2 x+e^{\log ^2(x)} (-1-2 \log (x))}{e^{4+2 \log ^2(x)} x^2+2 e^{4+\log ^2(x)} x^3+e^4 x^4} \, dx","Integrate[(-2*x + E^Log[x]^2*(-1 - 2*Log[x]))/(E^(4 + 2*Log[x]^2)*x^2 + 2*E^(4 + Log[x]^2)*x^3 + E^4*x^4),x]","\frac{1}{e^4 x \left(x+e^{\log ^2(x)}\right)}","\frac{x+\frac{4}{e^4 \left(x+e^{\log ^2(x)}\right)}}{4 x}",1,"1/(E^4*x*(E^Log[x]^2 + x))","A",1
1217,1,91,25,0.1025782,"\int \left(-6+14 x+2 e^2 x+12 x^2-4 x^3+10 x^4+6 x^5+e \left(6-4 x+6 x^2+8 x^3\right)+e^{4 x} \left(4 x^3+4 x^4\right)+e^{2 x} \left(-12 x-6 x^2-4 x^3-14 x^4-4 x^5+e \left(-6 x^2-4 x^3\right)\right)\right) \, dx","Integrate[-6 + 14*x + 2*E^2*x + 12*x^2 - 4*x^3 + 10*x^4 + 6*x^5 + E*(6 - 4*x + 6*x^2 + 8*x^3) + E^(4*x)*(4*x^3 + 4*x^4) + E^(2*x)*(-12*x - 6*x^2 - 4*x^3 - 14*x^4 - 4*x^5 + E*(-6*x^2 - 4*x^3)),x]","x^6+2 x^5+e^{4 x} x^4+2 e x^4-x^4+2 e x^3+4 x^3+e^2 x^2-2 e x^2+7 x^2-2 e^{2 x} \left(x^5+x^4+(e-1) x^3+3 x^2\right)+6 e x-6 x","\left(-e^{2 x} x^2+\left(x^2+x+e\right) x-x+3\right)^2",1,"-6*x + 6*E*x + 7*x^2 - 2*E*x^2 + E^2*x^2 + 4*x^3 + 2*E*x^3 - x^4 + 2*E*x^4 + E^(4*x)*x^4 + 2*x^5 + x^6 - 2*E^(2*x)*(3*x^2 + (-1 + E)*x^3 + x^4 + x^5)","B",1
1218,1,19,28,0.037244,"\int \left(12+18 x+e^{25-11 x+x^2} (-11+2 x)\right) \, dx","Integrate[12 + 18*x + E^(25 - 11*x + x^2)*(-11 + 2*x),x]","9 x^2+e^{x^2-11 x+25}+12 x","9 \left(x^2+x\right)+3 x+e^{(x-5)^2-x}-e^3+4",1,"E^(25 - 11*x + x^2) + 12*x + 9*x^2","A",1
1219,1,23,22,0.5388406,"\int \frac{1-10 x \log (x)+e^{e^x} \left(1+e^x x\right) \log (x)+\log (x) \log (\log (x))+\left(-e^{e^x} \log (x)+5 x \log (x)-\log (x) \log (\log (x))\right) \log \left(e^{e^x}-5 x+\log (\log (x))\right)}{e^{e^x} x^2 \log (x)-5 x^3 \log (x)+x^2 \log (x) \log (\log (x))} \, dx","Integrate[(1 - 10*x*Log[x] + E^E^x*(1 + E^x*x)*Log[x] + Log[x]*Log[Log[x]] + (-(E^E^x*Log[x]) + 5*x*Log[x] - Log[x]*Log[Log[x]])*Log[E^E^x - 5*x + Log[Log[x]]])/(E^E^x*x^2*Log[x] - 5*x^3*Log[x] + x^2*Log[x]*Log[Log[x]]),x]","\frac{\log \left(-5 x+e^{e^x}+\log (\log (x))\right)}{x}-\frac{1}{x}","\frac{-x+\log \left(-5 x+e^{e^x}+\log (\log (x))\right)-1}{x}",1,"-x^(-1) + Log[E^E^x - 5*x + Log[Log[x]]]/x","A",1
1220,1,18,19,0.1629532,"\int \frac{x+\log (4)+2 x \log (x)+\left(3 x \log (4)+3 x^2 \log (x)\right) \log ^2\left(x \log (4)+x^2 \log (x)\right)}{\left(x \log (4)+x^2 \log (x)\right) \log ^2\left(x \log (4)+x^2 \log (x)\right)} \, dx","Integrate[(x + Log[4] + 2*x*Log[x] + (3*x*Log[4] + 3*x^2*Log[x])*Log[x*Log[4] + x^2*Log[x]]^2)/((x*Log[4] + x^2*Log[x])*Log[x*Log[4] + x^2*Log[x]]^2),x]","3 x-\frac{1}{\log (x (x \log (x)+\log (4)))}","3 x-\frac{1}{\log (x (x \log (x)+\log (4)))}+2",1,"3*x - Log[x*(Log[4] + x*Log[x])]^(-1)","A",1
1221,1,16,23,0.0000941,"\int \left(-2 x-6 x^2-4 x^3\right) \, dx","Integrate[-2*x - 6*x^2 - 4*x^3,x]","-x^4-2 x^3-x^2","-\left(x^2+x\right)^2+1+4 \left(\frac{\log ^2(3)}{4}-4\right)",1,"-x^2 - 2*x^3 - x^4","A",1
1222,1,59,32,0.3177136,"\int \frac{\exp \left(\frac{-30+6 x+(12-2 x) \log (5)}{5 e^x+15 x-3 x^2+\left(-6 x+x^2\right) \log (5)}\right) \left(450-180 x+18 x^2+\left(-360+132 x-12 x^2\right) \log (5)+\left(72-24 x+2 x^2\right) \log ^2(5)+e^x (180-30 x+(-70+10 x) \log (5))\right)}{25 e^{2 x}+225 x^2-90 x^3+9 x^4+\left(-180 x^2+66 x^3-6 x^4\right) \log (5)+\left(36 x^2-12 x^3+x^4\right) \log ^2(5)+e^x \left(150 x-30 x^2+\left(-60 x+10 x^2\right) \log (5)\right)} \, dx","Integrate[(E^((-30 + 6*x + (12 - 2*x)*Log[5])/(5*E^x + 15*x - 3*x^2 + (-6*x + x^2)*Log[5]))*(450 - 180*x + 18*x^2 + (-360 + 132*x - 12*x^2)*Log[5] + (72 - 24*x + 2*x^2)*Log[5]^2 + E^x*(180 - 30*x + (-70 + 10*x)*Log[5])))/(25*E^(2*x) + 225*x^2 - 90*x^3 + 9*x^4 + (-180*x^2 + 66*x^3 - 6*x^4)*Log[5] + (36*x^2 - 12*x^3 + x^4)*Log[5]^2 + E^x*(150*x - 30*x^2 + (-60*x + 10*x^2)*Log[5])),x]","5^{-\frac{2 (x-6)}{5 e^x+x (x (\log (5)-3)+15-6 \log (5))}} \exp \left(\frac{6 (x-5)}{5 e^x+x (x (\log (5)-3)+15-6 \log (5))}\right)","e^{\frac{2}{\frac{5 e^x}{3-(6-x) (3-\log (5))}-x}}",1,"E^((6*(-5 + x))/(5*E^x + x*(15 + x*(-3 + Log[5]) - 6*Log[5])))/5^((2*(-6 + x))/(5*E^x + x*(15 + x*(-3 + Log[5]) - 6*Log[5])))","A",1
1223,1,48,24,0.0809824,"\int \frac{-3359384+1669324 x+556416 x^2-155808 x^3-54432 x^4-3888 x^5+\left(-20736+10336 x+576 x^2-288 x^3\right) \log (2-x)+(-32+16 x) \log ^2(2-x)}{-352670651858-293870933783 x-39176763264 x^2+45714497472 x^3+26665854480 x^4+6983855640 x^5+1058158080 x^6+95738112 x^7+4828896 x^8+104976 x^9+\left(-4353761664-2176749504 x+362824416 x^2+503887536 x^3+151165440 x^4+21835008 x^5+1586304 x^6+46656 x^7\right) \log (2-x)+\left(-20155696-3359080 x+3359232 x^2+1306368 x^3+171072 x^4+7776 x^5\right) \log ^2(2-x)+\left(-41472+6912 x+5760 x^2+576 x^3\right) \log ^3(2-x)+(-32+16 x) \log ^4(2-x)} \, dx","Integrate[(-3359384 + 1669324*x + 556416*x^2 - 155808*x^3 - 54432*x^4 - 3888*x^5 + (-20736 + 10336*x + 576*x^2 - 288*x^3)*Log[2 - x] + (-32 + 16*x)*Log[2 - x]^2)/(-352670651858 - 293870933783*x - 39176763264*x^2 + 45714497472*x^3 + 26665854480*x^4 + 6983855640*x^5 + 1058158080*x^6 + 95738112*x^7 + 4828896*x^8 + 104976*x^9 + (-4353761664 - 2176749504*x + 362824416*x^2 + 503887536*x^3 + 151165440*x^4 + 21835008*x^5 + 1586304*x^6 + 46656*x^7)*Log[2 - x] + (-20155696 - 3359080*x + 3359232*x^2 + 1306368*x^3 + 171072*x^4 + 7776*x^5)*Log[2 - x]^2 + (-41472 + 6912*x + 5760*x^2 + 576*x^3)*Log[2 - x]^3 + (-32 + 16*x)*Log[2 - x]^4),x]","\frac{4 x}{324 x^4+7776 x^3+69984 x^2+279936 x+4 \log ^2(2-x)+72 (x+6)^2 \log (2-x)+419923}","\frac{x}{\left(9 (x+6)^2+\log (2-x)\right)^2+\frac{19}{4}}",1,"(4*x)/(419923 + 279936*x + 69984*x^2 + 7776*x^3 + 324*x^4 + 72*(6 + x)^2*Log[2 - x] + 4*Log[2 - x]^2)","A",1
1224,1,13,25,0.0015911,"\int \frac{-1+74 x-250 x^2}{x} \, dx","Integrate[(-1 + 74*x - 250*x^2)/x,x]","-125 x^2+74 x-\log (x)","-x+5 \left(-\left(\frac{3}{2}-5 x\right)^2+1+\log (4)\right)-\log (x)",1,"74*x - 125*x^2 - Log[x]","A",1
1225,1,34,34,0.2702175,"\int \frac{\left(648 x^4+162 x^6+e^x \left(864 x^5+216 x^7\right)+e^{2 x} \left(432 x^6+108 x^8\right)+e^{3 x} \left(96 x^7+24 x^9\right)+e^{4 x} \left(8 x^8+2 x^{10}\right)\right) \log (x)+\left(-216 x^2+1242 x^4+162 x^6+e^x \left(-144 x^3+2124 x^5+432 x^6+324 x^7+108 x^8\right)+e^{2 x} \left(-24 x^4+1290 x^6+432 x^7+216 x^8+108 x^9\right)+e^{3 x} \left(336 x^7+144 x^8+60 x^9+36 x^{10}\right)+e^{4 x} \left(32 x^8+16 x^9+6 x^{10}+4 x^{11}\right)\right) \log ^2(x)+\left(16-140 x^2+e^x \left(-144 x^3-48 x^4-12 x^5-12 x^6\right)+e^{2 x} \left(-32 x^4-16 x^5-4 x^6-4 x^7\right)\right) \log ^3(x)-2 x^2 \log ^4(x)}{144 x+72 x^3+9 x^5} \, dx","Integrate[((648*x^4 + 162*x^6 + E^x*(864*x^5 + 216*x^7) + E^(2*x)*(432*x^6 + 108*x^8) + E^(3*x)*(96*x^7 + 24*x^9) + E^(4*x)*(8*x^8 + 2*x^10))*Log[x] + (-216*x^2 + 1242*x^4 + 162*x^6 + E^x*(-144*x^3 + 2124*x^5 + 432*x^6 + 324*x^7 + 108*x^8) + E^(2*x)*(-24*x^4 + 1290*x^6 + 432*x^7 + 216*x^8 + 108*x^9) + E^(3*x)*(336*x^7 + 144*x^8 + 60*x^9 + 36*x^10) + E^(4*x)*(32*x^8 + 16*x^9 + 6*x^10 + 4*x^11))*Log[x]^2 + (16 - 140*x^2 + E^x*(-144*x^3 - 48*x^4 - 12*x^5 - 12*x^6) + E^(2*x)*(-32*x^4 - 16*x^5 - 4*x^6 - 4*x^7))*Log[x]^3 - 2*x^2*Log[x]^4)/(144*x + 72*x^3 + 9*x^5),x]","\frac{\log ^2(x) \left(\log (x)-x^2 \left(e^x x+3\right)^2\right)^2}{9 \left(x^2+4\right)}","\frac{\log ^2(x) \left(\log (x)-x^2 \left(e^x x+3\right)^2\right)^2}{9 \left(x^2+4\right)}",1,"(Log[x]^2*(-(x^2*(3 + E^x*x)^2) + Log[x])^2)/(9*(4 + x^2))","A",1
1226,1,34,32,0.0921097,"\int \frac{-21-15 e^{2 x}-6 x+e^x \left(36+3 x-3 x^2\right)+\left(36-30 e^x+3 x\right) \log (x)-15 \log ^2(x)+\left(e^x (-3-3 x)-3 \log (x)\right) \log \left(e^x x^2\right)}{x^2-2 e^x x^2+e^{2 x} x^2+\left(-2 x^2+2 e^x x^2\right) \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(-21 - 15*E^(2*x) - 6*x + E^x*(36 + 3*x - 3*x^2) + (36 - 30*E^x + 3*x)*Log[x] - 15*Log[x]^2 + (E^x*(-3 - 3*x) - 3*Log[x])*Log[E^x*x^2])/(x^2 - 2*E^x*x^2 + E^(2*x)*x^2 + (-2*x^2 + 2*E^x*x^2)*Log[x] + x^2*Log[x]^2),x]","\frac{3 \left(\log \left(e^x x^2\right)+x+5 e^x+5 \log (x)-5\right)}{x \left(e^x+\log (x)-1\right)}","\frac{3 \left(5-\frac{\log \left(e^x x^2\right)+x}{-e^x-\log (x)+1}\right)}{x}",1,"(3*(-5 + 5*E^x + x + 5*Log[x] + Log[E^x*x^2]))/(x*(-1 + E^x + Log[x]))","A",1
1227,1,17,20,0.0295751,"\int \left(-1+16 e^{2 e^{4 e^{2 x}}+4 e^{2 x}+2 x}\right) \, dx","Integrate[-1 + 16*E^(2*E^(4*E^(2*x)) + 4*E^(2*x) + 2*x),x]","e^{2 e^{4 e^{2 x}}}-x","-x+e^{2 e^{4 e^{2 x}}}+e^5",1,"E^(2*E^(4*E^(2*x))) - x","A",1
1228,0,0,30,0.6509599,"\int \frac{\exp \left(\frac{-2 e^{16} x+2 e^{16} \log (2)}{-100-5 x-19 x^2+(5+19 x) \log (2)}\right) \left(e^{16} \left(600-114 x^2\right)+228 e^{16} x \log (2)-114 e^{16} \log ^2(2)\right)}{10000+1000 x+3825 x^2+190 x^3+361 x^4+\left(-1000-3850 x-380 x^2-722 x^3\right) \log (2)+\left(25+190 x+361 x^2\right) \log ^2(2)} \, dx","Integrate[(E^((-2*E^16*x + 2*E^16*Log[2])/(-100 - 5*x - 19*x^2 + (5 + 19*x)*Log[2]))*(E^16*(600 - 114*x^2) + 228*E^16*x*Log[2] - 114*E^16*Log[2]^2))/(10000 + 1000*x + 3825*x^2 + 190*x^3 + 361*x^4 + (-1000 - 3850*x - 380*x^2 - 722*x^3)*Log[2] + (25 + 190*x + 361*x^2)*Log[2]^2),x]","\int \frac{\exp \left(\frac{-2 e^{16} x+2 e^{16} \log (2)}{-100-5 x-19 x^2+(5+19 x) \log (2)}\right) \left(e^{16} \left(600-114 x^2\right)+228 e^{16} x \log (2)-114 e^{16} \log ^2(2)\right)}{10000+1000 x+3825 x^2+190 x^3+361 x^4+\left(-1000-3850 x-380 x^2-722 x^3\right) \log (2)+\left(25+190 x+361 x^2\right) \log ^2(2)} \, dx","3 e^{\frac{2 e^{16}}{-x+20 \left(x+\frac{5}{x-\log (2)}\right)+5}}",1,"Integrate[(E^((-2*E^16*x + 2*E^16*Log[2])/(-100 - 5*x - 19*x^2 + (5 + 19*x)*Log[2]))*(E^16*(600 - 114*x^2) + 228*E^16*x*Log[2] - 114*E^16*Log[2]^2))/(10000 + 1000*x + 3825*x^2 + 190*x^3 + 361*x^4 + (-1000 - 3850*x - 380*x^2 - 722*x^3)*Log[2] + (25 + 190*x + 361*x^2)*Log[2]^2), x]","F",-1
1229,1,28,25,0.0378148,"\int \frac{e^x (-24+24 x)-32 \log \left(\frac{5}{2 x}\right)-16 \log ^2\left(\frac{5}{2 x}\right)}{15 x^2} \, dx","Integrate[(E^x*(-24 + 24*x) - 32*Log[5/(2*x)] - 16*Log[5/(2*x)]^2)/(15*x^2),x]","\frac{8}{15} \left(\frac{3 e^x}{x}+\frac{2 \log ^2\left(\frac{5}{2 x}\right)}{x}\right)","\frac{8 \left(e^x+\frac{2}{3} \log ^2\left(\frac{5}{2 x}\right)\right)}{5 x}",1,"(8*((3*E^x)/x + (2*Log[5/(2*x)]^2)/x))/15","A",1
1230,1,16,18,0.0316959,"\int \frac{-2+6 x^2+\left(1-x^2\right) \log \left(x^2-2 x^4+x^6\right)}{-x^2+x^4} \, dx","Integrate[(-2 + 6*x^2 + (1 - x^2)*Log[x^2 - 2*x^4 + x^6])/(-x^2 + x^4),x]","\frac{\log \left(x^2 \left(x^2-1\right)^2\right)}{x}","\frac{\log \left(\left(x^3-x\right)^2\right)}{x}-\frac{1}{4}",1,"Log[x^2*(-1 + x^2)^2]/x","A",1
1231,1,27,21,1.355326,"\int \frac{-e^{7+8 x}+e^{7+4 x} \left(-3000+2300 x-660 x^2+84 x^3-4 x^4\right)}{390625-625000 x+437500 x^2-175000 x^3+43750 x^4-7000 x^5+700 x^6-40 x^7+x^8+e^{8 x} \left(4+4 x+x^2\right)+e^{4 x} \left(-2500+750 x+400 x^2-220 x^3+36 x^4-2 x^5\right)} \, dx","Integrate[(-E^(7 + 8*x) + E^(7 + 4*x)*(-3000 + 2300*x - 660*x^2 + 84*x^3 - 4*x^4))/(390625 - 625000*x + 437500*x^2 - 175000*x^3 + 43750*x^4 - 7000*x^5 + 700*x^6 - 40*x^7 + x^8 + E^(8*x)*(4 + 4*x + x^2) + E^(4*x)*(-2500 + 750*x + 400*x^2 - 220*x^3 + 36*x^4 - 2*x^5)),x]","\frac{e^{4 x+7}}{e^{4 x} (x+2)-(x-5)^4}","\frac{e^7}{-e^{-4 x} (x-5)^4+x+2}",1,"E^(7 + 4*x)/(-(-5 + x)^4 + E^(4*x)*(2 + x))","A",1
1232,1,2,2,0.0001428,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log (x)",1,"Log[x]","A",1
1233,1,26,23,0.0436421,"\int \frac{4 x+(18-6 x) \log \left(\frac{x^4}{\log ^2(3)}\right)+2 x \log \left(\frac{x^4}{\log ^2(3)}\right) \log \left(\log \left(\frac{x^4}{\log ^2(3)}\right)\right)}{3 \log \left(\frac{x^4}{\log ^2(3)}\right)} \, dx","Integrate[(4*x + (18 - 6*x)*Log[x^4/Log[3]^2] + 2*x*Log[x^4/Log[3]^2]*Log[Log[x^4/Log[3]^2]])/(3*Log[x^4/Log[3]^2]),x]","-x^2+\frac{1}{3} x^2 \log \left(\log \left(\frac{x^4}{\log ^2(3)}\right)\right)+6 x","x-x \left(-\frac{1}{3} x \log \left(\log \left(\frac{x^4}{\log ^2(3)}\right)\right)+x-5\right)",1,"6*x - x^2 + (x^2*Log[Log[x^4/Log[3]^2]])/3","A",1
1234,1,32,29,0.1546575,"\int \frac{-20 x^2+e^{5 x} \left(e^x (30-150 x)+5 x-125 x^2\right)+e^x \left(5 x-25 x^2\right)+\left(-5 x^2-5 e^x x^2+e^{5 x} \left(e^x (5-30 x)-25 x^2\right)\right) \log (x)}{4 e^{2 x} x^2+8 e^x x^3+4 x^4+e^{10 x} \left(4 e^{2 x}+8 e^x x+4 x^2\right)+e^{5 x} \left(8 e^{2 x} x+16 e^x x^2+8 x^3\right)} \, dx","Integrate[(-20*x^2 + E^(5*x)*(E^x*(30 - 150*x) + 5*x - 125*x^2) + E^x*(5*x - 25*x^2) + (-5*x^2 - 5*E^x*x^2 + E^(5*x)*(E^x*(5 - 30*x) - 25*x^2))*Log[x])/(4*E^(2*x)*x^2 + 8*E^x*x^3 + 4*x^4 + E^(10*x)*(4*E^(2*x) + 8*E^x*x + 4*x^2) + E^(5*x)*(8*E^(2*x)*x + 16*E^x*x^2 + 8*x^3)),x]","\frac{5 x (\log (x)+5)}{4 \left(x^2+e^x x+e^{5 x} x+e^{6 x}\right)}","\frac{5 x \left(\frac{1}{4} (\log (x)+1)+1\right)}{\left(x+e^x\right) \left(x+e^{5 x}\right)}",1,"(5*x*(5 + Log[x]))/(4*(E^(6*x) + E^x*x + E^(5*x)*x + x^2))","A",1
1235,1,24,28,0.0357104,"\int \exp \left(\frac{-145-144 x-36 x^2+e^5 \left(145+144 x+36 x^2\right)-6 \log (2)}{-1+e^5}\right) (144+72 x) \, dx","Integrate[E^((-145 - 144*x - 36*x^2 + E^5*(145 + 144*x + 36*x^2) - 6*Log[2])/(-1 + E^5))*(144 + 72*x),x]","2^{-\frac{6}{e^5-1}} e^{36 x^2+144 x+145}","e^{9 (2 x+4)^2+1+\frac{6 \log (2)}{1-e^5}}+1",1,"E^(145 + 144*x + 36*x^2)/2^(6/(-1 + E^5))","A",1
1236,1,18,32,0.0292694,"\int \frac{8 e^2-768 x+288 x^2}{2304 x^4-1152 x^5+144 x^6+e^4 \left(16-8 x+x^2\right)+e^2 \left(384 x^2-192 x^3+24 x^4\right)} \, dx","Integrate[(8*E^2 - 768*x + 288*x^2)/(2304*x^4 - 1152*x^5 + 144*x^6 + E^4*(16 - 8*x + x^2) + E^2*(384*x^2 - 192*x^3 + 24*x^4)),x]","-\frac{8}{(x-4) \left(12 x^2+e^2\right)}","1-\frac{1}{(x-4) \left(x^2+\frac{1}{2} \left(x+\frac{e^2}{4 x}\right) x\right)}",1,"-8/((-4 + x)*(E^2 + 12*x^2))","A",1
1237,1,29,26,1.8441633,"\int \frac{\left(160+160 x+40 x^2+e^x \left(-8 x^2-4 x^3\right)\right) \log (2 x) \log \left(x^2\right)+\left(40+40 x+10 x^2+e^x \left(-2 x^2-x^3\right)+e^x \left(-4 x^2-3 x^3-x^4\right) \log (2 x)\right) \log ^2\left(x^2\right)}{4 x+4 x^2+x^3} \, dx","Integrate[((160 + 160*x + 40*x^2 + E^x*(-8*x^2 - 4*x^3))*Log[2*x]*Log[x^2] + (40 + 40*x + 10*x^2 + E^x*(-2*x^2 - x^3) + E^x*(-4*x^2 - 3*x^3 - x^4)*Log[2*x])*Log[x^2]^2)/(4*x + 4*x^2 + x^3),x]","-\frac{\left(e^x x^2-10 x-20\right) \log (2 x) \log ^2\left(x^2\right)}{x+2}","\left(10-\frac{e^x x^2}{x+2}\right) \log (2 x) \log ^2\left(x^2\right)",1,"-(((-20 - 10*x + E^x*x^2)*Log[2*x]*Log[x^2]^2)/(2 + x))","A",1
1238,1,27,30,0.0061744,"\int \frac{1}{5} \left(-30+10 x-2 e^3 x+15 x^2+10 x \log \left(2 x^2\right)\right) \, dx","Integrate[(-30 + 10*x - 2*E^3*x + 15*x^2 + 10*x*Log[2*x^2])/5,x]","x^3-\frac{e^3 x^2}{5}+x^2 \log \left(2 x^2\right)-6 x","-x^2+x^2 \left(\log \left(2 x^2\right)+x-\frac{e^3}{5}\right)+(x-3)^2",1,"-6*x - (E^3*x^2)/5 + x^3 + x^2*Log[2*x^2]","A",1
1239,1,24,28,0.2326343,"\int \frac{-6 x+(2-12 x) \log \left(\frac{1}{3} (8-48 x)\right)+\left(x-6 x^2+e^{x^2} \left(-x+6 x^2+2 x^3-12 x^4\right)\right) \log ^2\left(\frac{1}{3} (8-48 x)\right)}{\left(-x^3+6 x^4\right) \log ^2\left(\frac{1}{3} (8-48 x)\right)} \, dx","Integrate[(-6*x + (2 - 12*x)*Log[(8 - 48*x)/3] + (x - 6*x^2 + E^x^2*(-x + 6*x^2 + 2*x^3 - 12*x^4))*Log[(8 - 48*x)/3]^2)/((-x^3 + 6*x^4)*Log[(8 - 48*x)/3]^2),x]","\frac{-e^{x^2} x+x+\frac{1}{\log \left(\frac{8}{3}-16 x\right)}}{x^2}","-\frac{e^{x^2}}{x}+\frac{1}{x^2 \log \left(\frac{8}{3}-16 x\right)}+\frac{1}{x}",1,"(x - E^x^2*x + Log[8/3 - 16*x]^(-1))/x^2","A",1
1240,1,36,26,0.0557105,"\int \frac{e^{2 e^5-2 x} \left(-3 x^2-2 x^3+(-1-2 x) \log (4)\right)}{40 x^6+80 x^4 \log (4)+40 x^2 \log ^2(4)} \, dx","Integrate[(E^(2*E^5 - 2*x)*(-3*x^2 - 2*x^3 + (-1 - 2*x)*Log[4]))/(40*x^6 + 80*x^4*Log[4] + 40*x^2*Log[4]^2),x]","\frac{e^{2 e^5-2 x} \left(2 x^3+x \log (16)\right)}{80 x^2 \left(x^2+\log (4)\right)^2}","\frac{e^{2 e^5-2 x}}{40 x \left(x^2+\log (4)\right)}",1,"(E^(2*E^5 - 2*x)*(2*x^3 + x*Log[16]))/(80*x^2*(x^2 + Log[4])^2)","A",1
1241,1,45,29,0.0292344,"\int \frac{20 x^5+e^{15} \left(-800-640 x^2+2 x^5-20 x^6\right)+e^{30} \left(500 x+480 x^3+64 x^5+5 x^7\right)}{4 x^5-4 e^{15} x^6+e^{30} x^7} \, dx","Integrate[(20*x^5 + E^15*(-800 - 640*x^2 + 2*x^5 - 20*x^6) + E^30*(500*x + 480*x^3 + 64*x^5 + 5*x^7))/(4*x^5 - 4*E^15*x^6 + E^30*x^7),x]","\frac{e^{15} \left(5 x^6-64 x^4-160 x^2-100\right)-2 x^4 (5 x+1)}{x^4 \left(e^{15} x-2\right)}","\frac{4 \left(\frac{5}{x^2}+4\right)^2+x}{\frac{2}{e^{15}}-x}+5 x",1,"(-2*x^4*(1 + 5*x) + E^15*(-100 - 160*x^2 - 64*x^4 + 5*x^6))/(x^4*(-2 + E^15*x))","A",1
1242,1,35,24,0.1643968,"\int \frac{1-4 x-x^2+x^3+e^x \left(-x+2 x^2-x^3\right)+e^{e^x} \left(x+e^x \left(x-x^2\right)\right)}{x-2 x^2+x^3} \, dx","Integrate[(1 - 4*x - x^2 + x^3 + E^x*(-x + 2*x^2 - x^3) + E^E^x*(x + E^x*(x - x^2)))/(x - 2*x^2 + x^3),x]","\frac{x^2-x-e^{e^x}-e^x (x-1)+(x-1) \log (x)+3}{x-1}","-\frac{e^{e^x}-3}{x-1}-e^x+x+\log (x)-5",1,"(3 - E^E^x - E^x*(-1 + x) - x + x^2 + (-1 + x)*Log[x])/(-1 + x)","A",1
1243,1,22,15,0.0021183,"\int \frac{1}{144} \left(225+1000 \log (x)+400 \log ^2(x)\right) \, dx","Integrate[(225 + 1000*Log[x] + 400*Log[x]^2)/144,x]","\frac{25 x}{144}+\frac{25}{9} x \log ^2(x)+\frac{25}{18} x \log (x)","\frac{25}{81} x \left(3 \log (x)+\frac{3}{4}\right)^2",1,"(25*x)/144 + (25*x*Log[x])/18 + (25*x*Log[x]^2)/9","A",1
1244,1,17,23,5.0310945,"\int \frac{e^{12 x-3 x \log \left(\frac{-2+5 x}{x}\right)} \left(-30+60 x+(6-15 x) \log \left(\frac{-2+5 x}{x}\right)\right)}{-2+5 x} \, dx","Integrate[(E^(12*x - 3*x*Log[(-2 + 5*x)/x])*(-30 + 60*x + (6 - 15*x)*Log[(-2 + 5*x)/x]))/(-2 + 5*x),x]","e^{12 x} \left(5-\frac{2}{x}\right)^{-3 x}","e^{3 x \left(4-\log \left(-\frac{x^2+2}{x}+x+5\right)\right)}",1,"E^(12*x)/(5 - 2/x)^(3*x)","A",1
1245,1,6,13,0.0006919,"\int (2+\log (x)) \, dx","Integrate[2 + Log[x],x]","x+x \log (x)","x+x \log (x)+3-\log ^2(2)",1,"x + x*Log[x]","A",1
1246,1,136,21,5.1624441,"\int \frac{\left(2400000000 x^{15}-800000000 x^{16}\right) \log ^8(-3+x)+\left(800000000 x^{16} \log ^7(-3+x)+\left(-4800000000 x^{15}+10000000000 x^{16}-2800000000 x^{17}\right) \log ^8(-3+x)\right) \log (x)+\left(3200000000 x^{17} \log ^7(-3+x)+\left(-20400000000 x^{16}+19400000000 x^{17}-4200000000 x^{18}\right) \log ^8(-3+x)\right) \log ^2(x)+\left(5600000000 x^{18} \log ^7(-3+x)+\left(-37800000000 x^{17}+23100000000 x^{18}-3500000000 x^{19}\right) \log ^8(-3+x)\right) \log ^3(x)+\left(5600000000 x^{19} \log ^7(-3+x)+\left(-39900000000 x^{18}+18550000000 x^{19}-1750000000 x^{20}\right) \log ^8(-3+x)\right) \log ^4(x)+\left(3500000000 x^{20} \log ^7(-3+x)+\left(-26250000000 x^{19}+10325000000 x^{20}-525000000 x^{21}\right) \log ^8(-3+x)\right) \log ^5(x)+\left(1400000000 x^{21} \log ^7(-3+x)+\left(-11025000000 x^{20}+3937500000 x^{21}-87500000 x^{22}\right) \log ^8(-3+x)\right) \log ^6(x)+\left(350000000 x^{22} \log ^7(-3+x)+\left(-2887500000 x^{21}+981250000 x^{22}-6250000 x^{23}\right) \log ^8(-3+x)\right) \log ^7(x)+\left(50000000 x^{23} \log ^7(-3+x)+\left(-431250000 x^{22}+143750000 x^{23}\right) \log ^8(-3+x)\right) \log ^8(x)+\left(3125000 x^{24} \log ^7(-3+x)+\left(-28125000 x^{23}+9375000 x^{24}\right) \log ^8(-3+x)\right) \log ^9(x)}{(-3+x) \log ^9(x)} \, dx","Integrate[((2400000000*x^15 - 800000000*x^16)*Log[-3 + x]^8 + (800000000*x^16*Log[-3 + x]^7 + (-4800000000*x^15 + 10000000000*x^16 - 2800000000*x^17)*Log[-3 + x]^8)*Log[x] + (3200000000*x^17*Log[-3 + x]^7 + (-20400000000*x^16 + 19400000000*x^17 - 4200000000*x^18)*Log[-3 + x]^8)*Log[x]^2 + (5600000000*x^18*Log[-3 + x]^7 + (-37800000000*x^17 + 23100000000*x^18 - 3500000000*x^19)*Log[-3 + x]^8)*Log[x]^3 + (5600000000*x^19*Log[-3 + x]^7 + (-39900000000*x^18 + 18550000000*x^19 - 1750000000*x^20)*Log[-3 + x]^8)*Log[x]^4 + (3500000000*x^20*Log[-3 + x]^7 + (-26250000000*x^19 + 10325000000*x^20 - 525000000*x^21)*Log[-3 + x]^8)*Log[x]^5 + (1400000000*x^21*Log[-3 + x]^7 + (-11025000000*x^20 + 3937500000*x^21 - 87500000*x^22)*Log[-3 + x]^8)*Log[x]^6 + (350000000*x^22*Log[-3 + x]^7 + (-2887500000*x^21 + 981250000*x^22 - 6250000*x^23)*Log[-3 + x]^8)*Log[x]^7 + (50000000*x^23*Log[-3 + x]^7 + (-431250000*x^22 + 143750000*x^23)*Log[-3 + x]^8)*Log[x]^8 + (3125000*x^24*Log[-3 + x]^7 + (-28125000*x^23 + 9375000*x^24)*Log[-3 + x]^8)*Log[x]^9)/((-3 + x)*Log[x]^9),x]","3125000 \left(\frac{1}{8} x^{24} \log ^8(x-3)+\frac{2 x^{23} \log ^8(x-3)}{\log (x)}+\frac{14 x^{22} \log ^8(x-3)}{\log ^2(x)}+\frac{56 x^{21} \log ^8(x-3)}{\log ^3(x)}+\frac{140 x^{20} \log ^8(x-3)}{\log ^4(x)}+\frac{224 x^{19} \log ^8(x-3)}{\log ^5(x)}+\frac{224 x^{18} \log ^8(x-3)}{\log ^6(x)}+\frac{128 x^{17} \log ^8(x-3)}{\log ^7(x)}+\frac{32 x^{16} \log ^8(x-3)}{\log ^8(x)}\right)","390625 x^{16} \log ^8(x-3) \left(x+\frac{2}{\log (x)}\right)^8",1,"3125000*((x^24*Log[-3 + x]^8)/8 + (32*x^16*Log[-3 + x]^8)/Log[x]^8 + (128*x^17*Log[-3 + x]^8)/Log[x]^7 + (224*x^18*Log[-3 + x]^8)/Log[x]^6 + (224*x^19*Log[-3 + x]^8)/Log[x]^5 + (140*x^20*Log[-3 + x]^8)/Log[x]^4 + (56*x^21*Log[-3 + x]^8)/Log[x]^3 + (14*x^22*Log[-3 + x]^8)/Log[x]^2 + (2*x^23*Log[-3 + x]^8)/Log[x])","B",1
1247,1,14,21,0.0035971,"\int \frac{1+e^4 (-11-10 x)}{e^4} \, dx","Integrate[(1 + E^4*(-11 - 10*x))/E^4,x]","-5 x^2+\frac{x}{e^4}-11 x","-4 x^2+\frac{x}{e^4}-x-(x+5)^2",1,"-11*x + x/E^4 - 5*x^2","A",1
1248,1,27,21,0.02069,"\int \left(e^x (-4-4 x)+2 x+20 e^{10 x^2} x+e^{5 x^2} \left(-2-20 x^2\right)\right) \, dx","Integrate[E^x*(-4 - 4*x) + 2*x + 20*E^(10*x^2)*x + E^(5*x^2)*(-2 - 20*x^2),x]","x^2-2 e^{5 x^2} x+e^{10 x^2}-4 e^x x","\left(x-e^{5 x^2}\right)^2-4 e^x x+3",1,"E^(10*x^2) - 4*E^x*x - 2*E^(5*x^2)*x + x^2","A",1
1249,1,28,23,0.0806714,"\int \frac{-14950+17450 x+32400 x^2+209952 x^3+\left(7475 x+88776 x^2-104976 x^3\right) \log \left(\frac{89401 x^2-193752 x^3+104976 x^4}{625+16200 x+104976 x^2}\right)}{14950 x+177552 x^2-209952 x^3+\left(-7475 x-88776 x^2+104976 x^3\right) \log \left(\frac{89401 x^2-193752 x^3+104976 x^4}{625+16200 x+104976 x^2}\right)} \, dx","Integrate[(-14950 + 17450*x + 32400*x^2 + 209952*x^3 + (7475*x + 88776*x^2 - 104976*x^3)*Log[(89401*x^2 - 193752*x^3 + 104976*x^4)/(625 + 16200*x + 104976*x^2)])/(14950*x + 177552*x^2 - 209952*x^3 + (-7475*x - 88776*x^2 + 104976*x^3)*Log[(89401*x^2 - 193752*x^3 + 104976*x^4)/(625 + 16200*x + 104976*x^2)]),x]","\log \left(2-\log \left(\frac{x^2 (324 x-299)^2}{(324 x+25)^2}\right)\right)-x","\log \left(\log \left(\left(\frac{x}{x+\frac{25}{324}}-x\right)^2\right)-2\right)-x",1,"-x + Log[2 - Log[(x^2*(-299 + 324*x)^2)/(25 + 324*x)^2]]","A",1
1250,0,0,27,0.4861711,"\int \frac{\exp \left(15-5 x+(-3+x+\log (3+x)) \log \left(\frac{1}{4} (8+\log (x))\right)\right) \left(-9-160 x-39 x^2+\left(-20 x-5 x^2\right) \log (x)+(3+x) \log (3+x)+\left(32 x+8 x^2+\left(4 x+x^2\right) \log (x)\right) \log \left(\frac{1}{4} (8+\log (x))\right)\right)}{(3+x)^5 \left(24 x+8 x^2+\left(3 x+x^2\right) \log (x)\right)} \, dx","Integrate[(E^(15 - 5*x + (-3 + x + Log[3 + x])*Log[(8 + Log[x])/4])*(-9 - 160*x - 39*x^2 + (-20*x - 5*x^2)*Log[x] + (3 + x)*Log[3 + x] + (32*x + 8*x^2 + (4*x + x^2)*Log[x])*Log[(8 + Log[x])/4]))/((3 + x)^5*(24*x + 8*x^2 + (3*x + x^2)*Log[x])),x]","\int \frac{\exp \left(15-5 x+(-3+x+\log (3+x)) \log \left(\frac{1}{4} (8+\log (x))\right)\right) \left(-9-160 x-39 x^2+\left(-20 x-5 x^2\right) \log (x)+(3+x) \log (3+x)+\left(32 x+8 x^2+\left(4 x+x^2\right) \log (x)\right) \log \left(\frac{1}{4} (8+\log (x))\right)\right)}{(3+x)^5 \left(24 x+8 x^2+\left(3 x+x^2\right) \log (x)\right)} \, dx","\exp \left((-x-\log (x+3)+3) \left(5-\log \left(\frac{\log (x)}{4}+2\right)\right)\right)",1,"Integrate[(E^(15 - 5*x + (-3 + x + Log[3 + x])*Log[(8 + Log[x])/4])*(-9 - 160*x - 39*x^2 + (-20*x - 5*x^2)*Log[x] + (3 + x)*Log[3 + x] + (32*x + 8*x^2 + (4*x + x^2)*Log[x])*Log[(8 + Log[x])/4]))/((3 + x)^5*(24*x + 8*x^2 + (3*x + x^2)*Log[x])), x]","F",-1
1251,1,34,37,0.0681777,"\int \frac{-60 x-21 x^2+5 x^3+135 x^4+135 x^5+99 x^6+59 x^7+18 x^8+2 x^9+e^{2 x} \left(135 x^2+135 x^3+99 x^4+59 x^5+18 x^6+2 x^7\right)+e^x \left(45+34 x-2 x^2-271 x^3-270 x^4-198 x^5-118 x^6-36 x^7-4 x^8\right)}{54 x^6+54 x^7+18 x^8+2 x^9+e^{2 x} \left(54 x^4+54 x^5+18 x^6+2 x^7\right)+e^x \left(-108 x^5-108 x^6-36 x^7-4 x^8\right)} \, dx","Integrate[(-60*x - 21*x^2 + 5*x^3 + 135*x^4 + 135*x^5 + 99*x^6 + 59*x^7 + 18*x^8 + 2*x^9 + E^(2*x)*(135*x^2 + 135*x^3 + 99*x^4 + 59*x^5 + 18*x^6 + 2*x^7) + E^x*(45 + 34*x - 2*x^2 - 271*x^3 - 270*x^4 - 198*x^5 - 118*x^6 - 36*x^7 - 4*x^8))/(54*x^6 + 54*x^7 + 18*x^8 + 2*x^9 + E^(2*x)*(54*x^4 + 54*x^5 + 18*x^6 + 2*x^7) + E^x*(-108*x^5 - 108*x^6 - 36*x^7 - 4*x^8)),x]","\frac{1}{2} \left(\frac{x-5}{\left(e^x-x\right) x^3 (x+3)^2}+2 x-\frac{5}{x}\right)","\frac{(5-x) \left(\frac{1}{x (x+3)^2 \left(x-e^x\right)}-x\right)}{2 x^2}+x+4",1,"(-5/x + 2*x + (-5 + x)/((E^x - x)*x^3*(3 + x)^2))/2","A",1
1252,1,30,28,0.0963078,"\int \frac{50 x-50 x^2+e^{4 x+x^2} \left(-200 x^2-100 x^3\right)+\left(x-x^3+e^{4 x+x^2} \left(1-x^2\right)+e^3 \left(-1+x^2\right)+\left(-1+x^2\right) \log (x)\right) \log ^3\left(-e^3+e^{4 x+x^2}+x-\log (x)\right)}{\left(e^3 x^2-e^{4 x+x^2} x^2-x^3+x^2 \log (x)\right) \log ^3\left(-e^3+e^{4 x+x^2}+x-\log (x)\right)} \, dx","Integrate[(50*x - 50*x^2 + E^(4*x + x^2)*(-200*x^2 - 100*x^3) + (x - x^3 + E^(4*x + x^2)*(1 - x^2) + E^3*(-1 + x^2) + (-1 + x^2)*Log[x])*Log[-E^3 + E^(4*x + x^2) + x - Log[x]]^3)/((E^3*x^2 - E^(4*x + x^2)*x^2 - x^3 + x^2*Log[x])*Log[-E^3 + E^(4*x + x^2) + x - Log[x]]^3),x]","-\frac{25}{\log ^2\left(e^{x^2+4 x}+x-\log (x)-e^3\right)}+x+\frac{1}{x}","x+\frac{1}{x}-\frac{25}{\log ^2\left(x+e^{x (x+4)}-\log (x)-e^3\right)}",1,"x^(-1) + x - 25/Log[-E^3 + E^(4*x + x^2) + x - Log[x]]^2","A",1
1253,1,59,32,0.0348476,"\int \frac{4-x^2+2 x^3+\log ^2(x)+\log (x) \left(4-2 \log \left(-\frac{x}{-1+\log (5)}\right)\right)-4 \log \left(-\frac{x}{-1+\log (5)}\right)+\log ^2\left(-\frac{x}{-1+\log (5)}\right)}{x^2} \, dx","Integrate[(4 - x^2 + 2*x^3 + Log[x]^2 + Log[x]*(4 - 2*Log[-(x/(-1 + Log[5]))]) - 4*Log[-(x/(-1 + Log[5]))] + Log[-(x/(-1 + Log[5]))]^2)/x^2,x]","-\frac{-x^3+x^2+\log ^2(x)+\log ^2\left(-\frac{x}{\log (5)-1}\right)-2 \log (x) \left(\log \left(-\frac{x}{\log (5)-1}\right)-2\right)-4 \log \left(-\frac{x}{\log (5)-1}\right)+4}{x}","x \left(x-\frac{\left(-\log \left(\frac{x^2}{x-x \log (5)}\right)+x+\log (x)+2\right)^2}{x^2}\right)",1,"-((4 + x^2 - x^3 + Log[x]^2 - 2*Log[x]*(-2 + Log[-(x/(-1 + Log[5]))]) - 4*Log[-(x/(-1 + Log[5]))] + Log[-(x/(-1 + Log[5]))]^2)/x)","A",1
1254,1,28,16,0.0206059,"\int \frac{28 e^4+e^{5+x^2} \left(2 x+e^4 \left(1-10 x+2 x^2\right)\right)}{e^4} \, dx","Integrate[(28*E^4 + E^(5 + x^2)*(2*x + E^4*(1 - 10*x + 2*x^2)))/E^4,x]","e^{x^2+5} x+\left(1-5 e^4\right) e^{x^2+1}+28 x","\left(e^{x^2+5}+28\right) \left(x+\frac{1}{e^4}-5\right)",1,"E^(1 + x^2)*(1 - 5*E^4) + 28*x + E^(5 + x^2)*x","A",1
1255,1,27,23,0.0481977,"\int \frac{-6+4 e^3-2 e^6+\left(4+2 e^6\right) \log (x)-4 e^3 \log ^2(x)+2 \log ^3(x)+\left(6-4 e^3+2 e^6+\left(2-4 e^3\right) \log (x)+2 \log ^2(x)\right) \log \left(4+e^6+\left(-1-2 e^3\right) \log (x)+\log ^2(x)\right)}{4 x+e^6 x+\left(-x-2 e^3 x\right) \log (x)+x \log ^2(x)} \, dx","Integrate[(-6 + 4*E^3 - 2*E^6 + (4 + 2*E^6)*Log[x] - 4*E^3*Log[x]^2 + 2*Log[x]^3 + (6 - 4*E^3 + 2*E^6 + (2 - 4*E^3)*Log[x] + 2*Log[x]^2)*Log[4 + E^6 + (-1 - 2*E^3)*Log[x] + Log[x]^2])/(4*x + E^6*x + (-x - 2*E^3*x)*Log[x] + x*Log[x]^2),x]","\left(\log \left(\log ^2(x)-\left(1+2 e^3\right) \log (x)+e^6+4\right)+\log (x)-1\right)^2","\left(\log (x)+\log \left(\left(\log (x)-e^3\right)^2-\log (x)+4\right)-1\right)^2",1,"(-1 + Log[x] + Log[4 + E^6 - (1 + 2*E^3)*Log[x] + Log[x]^2])^2","A",1
1256,1,26,22,0.1855806,"\int \frac{e (-1-5 x)+x+x^2-4 x^3+\left(-4 e-4 x^2\right) \log (x)+(e x+e \log (x)) \log (x+\log (x))}{x^3+x^2 \log (x)} \, dx","Integrate[(E*(-1 - 5*x) + x + x^2 - 4*x^3 + (-4*E - 4*x^2)*Log[x] + (E*x + E*Log[x])*Log[x + Log[x]])/(x^3 + x^2*Log[x]),x]","-4 x+\frac{4 e}{x}+\log (x+\log (x))-\frac{e \log (x+\log (x))}{x}","\frac{(x-e) (\log (x+\log (x))-2 (2 x+2))}{x}",1,"(4*E)/x - 4*x + Log[x + Log[x]] - (E*Log[x + Log[x]])/x","A",1
1257,1,27,27,0.4003921,"\int \frac{1}{8} e^{\frac{1}{8} \left(8 e^x-8 x^3+e^{x^2} x^3-8 \log (4)\right)} \left(8 e^x-24 x^2+e^{x^2} \left(3 x^2+2 x^4\right)\right) \, dx","Integrate[(E^((8*E^x - 8*x^3 + E^x^2*x^3 - 8*Log[4])/8)*(8*E^x - 24*x^2 + E^x^2*(3*x^2 + 2*x^4)))/8,x]","\frac{1}{4} e^{-x^3+\frac{1}{8} e^{x^2} x^3+e^x}","\frac{1}{4} e^{-x^3+\frac{1}{8} e^{x^2} x^3+e^x}",1,"E^(E^x - x^3 + (E^x^2*x^3)/8)/4","A",1
1258,1,25,20,0.0412036,"\int \frac{-2+3 e x^2+e (-2+6 x) \log (4)+3 e \log ^2(4)}{e x^2+2 e x \log (4)+e \log ^2(4)} \, dx","Integrate[(-2 + 3*E*x^2 + E*(-2 + 6*x)*Log[4] + 3*E*Log[4]^2)/(E*x^2 + 2*E*x*Log[4] + E*Log[4]^2),x]","\frac{3 e (x+\log (4))+\frac{2+e \log (16)}{x+\log (4)}}{e}","x+2 \left(x+\frac{\frac{1}{e}-x}{x+\log (4)}\right)",1,"(3*E*(x + Log[4]) + (2 + E*Log[16])/(x + Log[4]))/E","A",1
1259,1,20,20,0.1359695,"\int \frac{e^{-\frac{x}{\log \left(\frac{48 x}{4+3 x}\right)}} \left(1036+(-1036-777 x) \log \left(\frac{48 x}{4+3 x}\right)\right)}{(4+3 x) \log ^2\left(\frac{48 x}{4+3 x}\right)} \, dx","Integrate[(1036 + (-1036 - 777*x)*Log[(48*x)/(4 + 3*x)])/(E^(x/Log[(48*x)/(4 + 3*x)])*(4 + 3*x)*Log[(48*x)/(4 + 3*x)]^2),x]","259 e^{-\frac{x}{\log \left(\frac{48 x}{3 x+4}\right)}}","259 e^{-\frac{x}{\log \left(\frac{16 x}{x+\frac{4}{3}}\right)}}",1,"259/E^(x/Log[(48*x)/(4 + 3*x)])","A",1
1260,1,26,30,0.0221213,"\int e^{-x^2} \left(8-62 x-13 x^2+50 x^3-2 x^4-6 x^5\right) \, dx","Integrate[(8 - 62*x - 13*x^2 + 50*x^3 - 2*x^4 - 6*x^5)/E^x^2,x]","e^{-x^2} \left(3 x^4+x^3-19 x^2+8 x+12\right)","e^{-x^2} \left(3 \left(\frac{4}{x}-x\right)-4\right) x \left(-x^2+x+1\right)",1,"(12 + 8*x - 19*x^2 + x^3 + 3*x^4)/E^x^2","A",1
1261,1,28,28,0.1480117,"\int \frac{-e^{-2 x} x+\left(-3 x^3-2 x^4+e^{e^9} \left(3 x^2+2 x^3\right)\right) \log \left(4 e^{e^9}-4 x\right)+\left(e^{e^9-2 x}-e^{-2 x} x\right) \log \left(4 e^{e^9}-4 x\right) \log \left(\log \left(4 e^{e^9}-4 x\right)\right)}{\left(2 e^{e^9-2 x}-2 e^{-2 x} x\right) \log \left(4 e^{e^9}-4 x\right)} \, dx","Integrate[(-(x/E^(2*x)) + (-3*x^3 - 2*x^4 + E^E^9*(3*x^2 + 2*x^3))*Log[4*E^E^9 - 4*x] + (E^(E^9 - 2*x) - x/E^(2*x))*Log[4*E^E^9 - 4*x]*Log[Log[4*E^E^9 - 4*x]])/((2*E^(E^9 - 2*x) - (2*x)/E^(2*x))*Log[4*E^E^9 - 4*x]),x]","\frac{1}{2} x \left(e^{2 x} x^2+\log \left(\log \left(4 \left(e^{e^9}-x\right)\right)\right)\right)","\frac{1}{2} x \left(e^{2 x} x^2+\log \left(\log \left(4 \left(e^{e^9}-x\right)\right)\right)\right)",1,"(x*(E^(2*x)*x^2 + Log[Log[4*(E^E^9 - x)]]))/2","A",1
1262,1,22,28,0.3874195,"\int \frac{e^{-x} \left(3840+1920 x-1622 x^2+194 x^3+10 x^4+e^x \left(16 x^2-8 x^3+x^4\right)\right)}{16 x^2-8 x^3+x^4} \, dx","Integrate[(3840 + 1920*x - 1622*x^2 + 194*x^3 + 10*x^4 + E^x*(16*x^2 - 8*x^3 + x^4))/(E^x*(16*x^2 - 8*x^3 + x^4)),x]","e^{-x} \left(-\frac{240}{x}-\frac{34}{x-4}-10\right)+x","x-\frac{e^{-x} \left(x+(x+30) \left(\frac{x}{x-4}+8\right)\right)}{x}-3",1,"(-10 - 34/(-4 + x) - 240/x)/E^x + x","A",1
1263,1,51,21,0.0155723,"\int \frac{1}{25} \left(565+450 x+108 x^{7/5}-810 x^2+180 x^3+\sqrt[5]{x} \left(-216-594 x+288 x^2\right)\right) \, dx","Integrate[(565 + 450*x + 108*x^(7/5) - 810*x^2 + 180*x^3 + x^(1/5)*(-216 - 594*x + 288*x^2))/25,x]","\frac{1}{25} \left(90 x^{16/5}+45 x^{12/5}-270 x^{11/5}-180 x^{6/5}+45 x^4-270 x^3+225 x^2+565 x\right)","\frac{1}{5} \left(6-3 x \left(x+\sqrt[5]{x}-3\right)\right)^2+x",1,"(565*x - 180*x^(6/5) + 225*x^2 - 270*x^(11/5) + 45*x^(12/5) - 270*x^3 + 90*x^(16/5) + 45*x^4)/25","B",1
1264,1,19,24,0.011305,"\int \frac{-20+e^2 \left(-16-56 x+31 x^2-4 x^3\right)}{e^2 \left(16-8 x+x^2\right)} \, dx","Integrate[(-20 + E^2*(-16 - 56*x + 31*x^2 - 4*x^3))/(E^2*(16 - 8*x + x^2)),x]","-2 x^2-x+\frac{20}{e^2 (x-4)}","\left(-2 x+\frac{5}{e^2 (x-4)}-\frac{27}{4 x}-1\right) x",1,"20/(E^2*(-4 + x)) - x - 2*x^2","A",1
1265,1,27,26,0.1819329,"\int \frac{-5083731656658 x^3-13122 e^{9 x} x^3+5083731656658 x^4-2259436291848 x^5+585779779368 x^6-97629963228 x^7+10847773692 x^8-803538792 x^9+38263752 x^{10}-1062882 x^{11}+13122 x^{12}+e^{24} (-36+20 x)+e^{8 x} \left(-1062882 x^3+118098 x^4\right)+e^{7 x} \left(-38263752 x^3+8503056 x^4-472392 x^5\right)+e^{6 x} \left(-803538792 x^3+267846264 x^4-29760696 x^5+1102248 x^6\right)+e^{5 x} \left(-10847773692 x^3+4821232752 x^4-803538792 x^5+59521392 x^6-1653372 x^7\right)+e^{4 x} \left(-97629963228 x^3+54238868460 x^4-12053081880 x^5+1339231320 x^6-74401740 x^7+1653372 x^8\right)+e^{3 x} \left(-585779779368 x^3+390519852912 x^4-108477736920 x^5+16070775840 x^6-1339231320 x^7+59521392 x^8-1102248 x^9\right)+e^{2 x} \left(-2259436291848 x^3+1757339338104 x^4-585779779368 x^5+108477736920 x^6-12053081880 x^7+803538792 x^8-29760696 x^9+472392 x^{10}\right)+e^x \left(e^{24} (-4-16 x)-5083731656658 x^3+4518872583696 x^4-1757339338104 x^5+390519852912 x^6-54238868460 x^7+4821232752 x^8-267846264 x^9+8503056 x^{10}-118098 x^{11}\right)}{2541865828329 x^3+6561 e^{9 x} x^3-2541865828329 x^4+1129718145924 x^5-292889889684 x^6+48814981614 x^7-5423886846 x^8+401769396 x^9-19131876 x^{10}+531441 x^{11}-6561 x^{12}+e^{8 x} \left(531441 x^3-59049 x^4\right)+e^{7 x} \left(19131876 x^3-4251528 x^4+236196 x^5\right)+e^{6 x} \left(401769396 x^3-133923132 x^4+14880348 x^5-551124 x^6\right)+e^{5 x} \left(5423886846 x^3-2410616376 x^4+401769396 x^5-29760696 x^6+826686 x^7\right)+e^{4 x} \left(48814981614 x^3-27119434230 x^4+6026540940 x^5-669615660 x^6+37200870 x^7-826686 x^8\right)+e^{3 x} \left(292889889684 x^3-195259926456 x^4+54238868460 x^5-8035387920 x^6+669615660 x^7-29760696 x^8+551124 x^9\right)+e^{2 x} \left(1129718145924 x^3-878669669052 x^4+292889889684 x^5-54238868460 x^6+6026540940 x^7-401769396 x^8+14880348 x^9-236196 x^{10}\right)+e^x \left(2541865828329 x^3-2259436291848 x^4+878669669052 x^5-195259926456 x^6+27119434230 x^7-2410616376 x^8+133923132 x^9-4251528 x^{10}+59049 x^{11}\right)} \, dx","Integrate[(-5083731656658*x^3 - 13122*E^(9*x)*x^3 + 5083731656658*x^4 - 2259436291848*x^5 + 585779779368*x^6 - 97629963228*x^7 + 10847773692*x^8 - 803538792*x^9 + 38263752*x^10 - 1062882*x^11 + 13122*x^12 + E^24*(-36 + 20*x) + E^(8*x)*(-1062882*x^3 + 118098*x^4) + E^(7*x)*(-38263752*x^3 + 8503056*x^4 - 472392*x^5) + E^(6*x)*(-803538792*x^3 + 267846264*x^4 - 29760696*x^5 + 1102248*x^6) + E^(5*x)*(-10847773692*x^3 + 4821232752*x^4 - 803538792*x^5 + 59521392*x^6 - 1653372*x^7) + E^(4*x)*(-97629963228*x^3 + 54238868460*x^4 - 12053081880*x^5 + 1339231320*x^6 - 74401740*x^7 + 1653372*x^8) + E^(3*x)*(-585779779368*x^3 + 390519852912*x^4 - 108477736920*x^5 + 16070775840*x^6 - 1339231320*x^7 + 59521392*x^8 - 1102248*x^9) + E^(2*x)*(-2259436291848*x^3 + 1757339338104*x^4 - 585779779368*x^5 + 108477736920*x^6 - 12053081880*x^7 + 803538792*x^8 - 29760696*x^9 + 472392*x^10) + E^x*(E^24*(-4 - 16*x) - 5083731656658*x^3 + 4518872583696*x^4 - 1757339338104*x^5 + 390519852912*x^6 - 54238868460*x^7 + 4821232752*x^8 - 267846264*x^9 + 8503056*x^10 - 118098*x^11))/(2541865828329*x^3 + 6561*E^(9*x)*x^3 - 2541865828329*x^4 + 1129718145924*x^5 - 292889889684*x^6 + 48814981614*x^7 - 5423886846*x^8 + 401769396*x^9 - 19131876*x^10 + 531441*x^11 - 6561*x^12 + E^(8*x)*(531441*x^3 - 59049*x^4) + E^(7*x)*(19131876*x^3 - 4251528*x^4 + 236196*x^5) + E^(6*x)*(401769396*x^3 - 133923132*x^4 + 14880348*x^5 - 551124*x^6) + E^(5*x)*(5423886846*x^3 - 2410616376*x^4 + 401769396*x^5 - 29760696*x^6 + 826686*x^7) + E^(4*x)*(48814981614*x^3 - 27119434230*x^4 + 6026540940*x^5 - 669615660*x^6 + 37200870*x^7 - 826686*x^8) + E^(3*x)*(292889889684*x^3 - 195259926456*x^4 + 54238868460*x^5 - 8035387920*x^6 + 669615660*x^7 - 29760696*x^8 + 551124*x^9) + E^(2*x)*(1129718145924*x^3 - 878669669052*x^4 + 292889889684*x^5 - 54238868460*x^6 + 6026540940*x^7 - 401769396*x^8 + 14880348*x^9 - 236196*x^10) + E^x*(2541865828329*x^3 - 2259436291848*x^4 + 878669669052*x^5 - 195259926456*x^6 + 27119434230*x^7 - 2410616376*x^8 + 133923132*x^9 - 4251528*x^10 + 59049*x^11)),x]","\frac{2 \left(\frac{e^{24}}{\left(-x+e^x+9\right)^8 x^2}-6561 (x-9)\right)}{6561}","2 \left(\frac{e^{24}}{6561 \left(-x+e^x+9\right)^8 x^2}-x\right)",1,"(2*(-6561*(-9 + x) + E^24/((9 + E^x - x)^8*x^2)))/6561","A",1
1266,1,84,22,0.0680322,"\int \frac{-17860500-12026070 x-2452842 x^2-142884 x^3+\left(16074450+9406530 x+1468530 x^2+39690 x^3\right) \log (x)+\left(-3572100-1786050 x-198450 x^2\right) \log ^2(x)}{x^5} \, dx","Integrate[(-17860500 - 12026070*x - 2452842*x^2 - 142884*x^3 + (16074450 + 9406530*x + 1468530*x^2 + 39690*x^3)*Log[x] + (-3572100 - 1786050*x - 198450*x^2)*Log[x]^2)/x^5,x]","7938 \left(\frac{450}{x^4}+\frac{225 \log ^2(x)}{2 x^4}-\frac{450 \log (x)}{x^4}+\frac{390}{x^3}+\frac{75 \log ^2(x)}{x^3}-\frac{345 \log (x)}{x^3}+\frac{229}{2 x^2}+\frac{25 \log ^2(x)}{2 x^2}-\frac{80 \log (x)}{x^2}+\frac{13}{x}-\frac{5 \log (x)}{x}\right)","\frac{3969 (x+3)^2 (5 (\log (x)-2)-x)^2}{x^4}",1,"7938*(450/x^4 + 390/x^3 + 229/(2*x^2) + 13/x - (450*Log[x])/x^4 - (345*Log[x])/x^3 - (80*Log[x])/x^2 - (5*Log[x])/x + (225*Log[x]^2)/(2*x^4) + (75*Log[x]^2)/x^3 + (25*Log[x]^2)/(2*x^2))","B",1
1267,1,27,17,0.0565129,"\int \frac{4+8 x+x^2+2 x^3+\left(2 x^2+2 x^3\right) \log (-1-x)+\left(2 x^2+2 x^3\right) \log (x)}{x+x^2} \, dx","Integrate[(4 + 8*x + x^2 + 2*x^3 + (2*x^2 + 2*x^3)*Log[-1 - x] + (2*x^2 + 2*x^3)*Log[x])/(x + x^2),x]","x^2 \log (-x-1)+x^2 \log (x)+4 \log (x)+4 \log (x+1)","\left(x^2+4\right) (\log (-x-1)+\log (x))+3",1,"x^2*Log[-1 - x] + 4*Log[x] + x^2*Log[x] + 4*Log[1 + x]","A",1
1268,1,25,25,0.5034332,"\int \frac{20+45 x+18 x^2+18 x^3+4 x^4+\left(-20-20 x-24 x^2-28 x^3-4 x^4\right) \log \left(x+x^2\right)}{125 x^2+125 x^3+100 x^4+100 x^5+20 x^6+20 x^7} \, dx","Integrate[(20 + 45*x + 18*x^2 + 18*x^3 + 4*x^4 + (-20 - 20*x - 24*x^2 - 28*x^3 - 4*x^4)*Log[x + x^2])/(125*x^2 + 125*x^3 + 100*x^4 + 100*x^5 + 20*x^6 + 20*x^7),x]","\frac{(x+4) \log (x (x+1))}{5 x \left(2 x^2+5\right)}","\frac{(x+4) \log \left(x^2+x\right)}{5 x \left(2 x^2+5\right)}",1,"((4 + x)*Log[x*(1 + x)])/(5*x*(5 + 2*x^2))","A",1
1269,1,44,23,0.0208268,"\int \frac{8 e^3 x}{64+192 x^2+144 x^4+e^2 \left(1+4 x^2+4 x^4\right)+e^{20} \left(1+4 x^2+4 x^4\right)+e \left(16+56 x^2+48 x^4\right)+e^{10} \left(-16-56 x^2-48 x^4+e \left(-2-8 x^2-8 x^4\right)\right)} \, dx","Integrate[(8*E^3*x)/(64 + 192*x^2 + 144*x^4 + E^2*(1 + 4*x^2 + 4*x^4) + E^20*(1 + 4*x^2 + 4*x^4) + E*(16 + 56*x^2 + 48*x^4) + E^10*(-16 - 56*x^2 - 48*x^4 + E*(-2 - 8*x^2 - 8*x^4))),x]","-\frac{2 e^3}{\left(-6-e+e^{10}\right) \left(2 e^{10} x^2-2 e x^2-12 x^2+e^{10}-e-8\right)}","\frac{e^3}{\frac{1}{x^2+\frac{1}{2}}-e^{10}+e+6}",1,"(-2*E^3)/((-6 - E + E^10)*(-8 - E + E^10 - 12*x^2 - 2*E*x^2 + 2*E^10*x^2))","A",1
1270,1,58,21,0.7734711,"\int \frac{\left(-32 x-32 e^{-x} x-192 x^6\right) \log \left(1-e^{-x}+x+x^6\right)+\left(16-16 e^{-x}+16 x+16 x^6\right) \log ^2\left(1-e^{-x}+x+x^6\right)}{-x^2+e^{-x} x^2-x^3-x^8} \, dx","Integrate[((-32*x - (32*x)/E^x - 192*x^6)*Log[1 - E^(-x) + x + x^6] + (16 - 16/E^x + 16*x + 16*x^6)*Log[1 - E^(-x) + x + x^6]^2)/(-x^2 + x^2/E^x - x^3 - x^8),x]","16 \left(\frac{\log ^2\left(x^6+x-e^{-x}+1\right)}{x}+2 \log \left(x^6+x-e^{-x}+1\right)-2 \log \left(1-e^x \left(x^6+x+1\right)\right)+2 x\right)","\frac{16 \log ^2\left(x^6+x-e^{-x}+1\right)}{x}",1,"16*(2*x + 2*Log[1 - E^(-x) + x + x^6] + Log[1 - E^(-x) + x + x^6]^2/x - 2*Log[1 - E^x*(1 + x + x^6)])","B",1
1271,1,25,28,0.0627409,"\int \frac{-42-37 x-13 x^2-3 x^3+\left(24+9 x-2 x^2\right) \log (x)}{9 x^3+6 x^4+x^5} \, dx","Integrate[(-42 - 37*x - 13*x^2 - 3*x^3 + (24 + 9*x - 2*x^2)*Log[x])/(9*x^3 + 6*x^4 + x^5),x]","\frac{3 x^2+7 x+(x-4) \log (x)+5}{x^2 (x+3)}","\frac{3 (x+2)+\frac{x-4 \log (x)+5}{x}+\log (x)}{x (x+3)}",1,"(5 + 7*x + 3*x^2 + (-4 + x)*Log[x])/(x^2*(3 + x))","A",1
1272,1,21,21,0.1193446,"\int \frac{-8+10 \log (2 x)+(4-3 x+(20+10 x) \log (2 x)) \log \left(x^2\right)+(1+5 \log (2 x)) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)}{10 \log \left(x^2\right)} \, dx","Integrate[(-8 + 10*Log[2*x] + (4 - 3*x + (20 + 10*x)*Log[2*x])*Log[x^2] + (1 + 5*Log[2*x])*Log[x^2]*Log[Log[x^2]])/(10*Log[x^2]),x]","\frac{1}{10} x (5 \log (2 x)-4) \left(\log \left(\log \left(x^2\right)\right)+x+4\right)","\frac{1}{10} x (5 \log (2 x)-4) \left(\log \left(\log \left(x^2\right)\right)+x+4\right)",1,"(x*(-4 + 5*Log[2*x])*(4 + x + Log[Log[x^2]]))/10","A",1
1273,1,19,19,0.0221751,"\int \frac{e^{5 x^2} (2+4 x)+e^{5 x^2} \left(-30 x+10 x^2+10 x^3\right) \log \left(6561-4374 x-3645 x^2+1458 x^3+729 x^4\right)}{-3+x+x^2} \, dx","Integrate[(E^(5*x^2)*(2 + 4*x) + E^(5*x^2)*(-30*x + 10*x^2 + 10*x^3)*Log[6561 - 4374*x - 3645*x^2 + 1458*x^3 + 729*x^4])/(-3 + x + x^2),x]","e^{5 x^2} \log \left(729 \left(x^2+x-3\right)^2\right)","e^{5 x^2} \log \left(729 \left(x^2+x-3\right)^2\right)",1,"E^(5*x^2)*Log[729*(-3 + x + x^2)^2]","A",1
1274,1,7,7,0.0054735,"\int \frac{1-x \log (x)}{x \log (x)} \, dx","Integrate[(1 - x*Log[x])/(x*Log[x]),x]","\log (\log (x))-x","\log (\log (x))-x",1,"-x + Log[Log[x]]","A",1
1275,1,52,32,0.0694261,"\int \frac{2944+2336 x-1152 x^2+1016 x^3-264 x^4+90 x^5-11 x^6+2 x^7+e^{\frac{9}{e^{4/3}}} (8+16 x)+e^{\frac{6}{e^{4/3}}} \left(176+264 x-36 x^2+24 x^3\right)+e^{\frac{3}{e^{4/3}}} \left(1248+1408 x-408 x^2+312 x^3-42 x^4+12 x^5\right)}{1728+8 e^{\frac{9}{e^{4/3}}}-864 x+576 x^2-152 x^3+48 x^4-6 x^5+x^6+e^{\frac{6}{e^{4/3}}} \left(144-24 x+12 x^2\right)+e^{\frac{3}{e^{4/3}}} \left(864-288 x+168 x^2-24 x^3+6 x^4\right)} \, dx","Integrate[(2944 + 2336*x - 1152*x^2 + 1016*x^3 - 264*x^4 + 90*x^5 - 11*x^6 + 2*x^7 + E^(9/E^(4/3))*(8 + 16*x) + E^(6/E^(4/3))*(176 + 264*x - 36*x^2 + 24*x^3) + E^(3/E^(4/3))*(1248 + 1408*x - 408*x^2 + 312*x^3 - 42*x^4 + 12*x^5))/(1728 + 8*E^(9/E^(4/3)) - 864*x + 576*x^2 - 152*x^3 + 48*x^4 - 6*x^5 + x^6 + E^(6/E^(4/3))*(144 - 24*x + 12*x^2) + E^(3/E^(4/3))*(864 - 288*x + 168*x^2 - 24*x^3 + 6*x^4)),x]","x^2+\frac{8 x}{x^2-2 x+2 e^{\frac{3}{e^{4/3}}}+12}+\frac{16}{\left(x^2-2 x+2 e^{\frac{3}{e^{4/3}}}+12\right)^2}+x","\left(\frac{2}{\frac{x^2}{2}-x+e^{\frac{3}{e^{4/3}}}+6}+x\right)^2+x+2",1,"x + x^2 + 16/(12 + 2*E^(3/E^(4/3)) - 2*x + x^2)^2 + (8*x)/(12 + 2*E^(3/E^(4/3)) - 2*x + x^2)","A",1
1276,1,27,31,0.0824352,"\int \frac{\exp \left(\frac{3-x+3 \log \left(\frac{-20-5 x-2 x^2}{6 x}\right)}{\log \left(\frac{-20-5 x-2 x^2}{6 x}\right)}\right) \left(60-20 x-6 x^2+2 x^3+\left(-20 x-5 x^2-2 x^3\right) \log \left(\frac{-20-5 x-2 x^2}{6 x}\right)\right)}{\left(20 x+5 x^2+2 x^3\right) \log ^2\left(\frac{-20-5 x-2 x^2}{6 x}\right)} \, dx","Integrate[(E^((3 - x + 3*Log[(-20 - 5*x - 2*x^2)/(6*x)])/Log[(-20 - 5*x - 2*x^2)/(6*x)])*(60 - 20*x - 6*x^2 + 2*x^3 + (-20*x - 5*x^2 - 2*x^3)*Log[(-20 - 5*x - 2*x^2)/(6*x)]))/((20*x + 5*x^2 + 2*x^3)*Log[(-20 - 5*x - 2*x^2)/(6*x)]^2),x]","e^{\frac{3-x}{\log \left(\frac{1}{6} \left(-2 x-\frac{20}{x}-5\right)\right)}+3}","e^{\frac{3-x}{\log \left(\frac{1}{3} \left(-x-\frac{10}{x}+2\right)-\frac{3}{2}\right)}+3}",1,"E^(3 + (3 - x)/Log[(-5 - 20/x - 2*x)/6])","A",1
1277,1,17,17,0.1074179,"\int \frac{30+10 x-3 x^2+(-10+2 x) \log (5-x)}{15 x+2 x^2-x^3+\left(-5 x+x^2\right) \log (5-x)} \, dx","Integrate[(30 + 10*x - 3*x^2 + (-10 + 2*x)*Log[5 - x])/(15*x + 2*x^2 - x^3 + (-5*x + x^2)*Log[5 - x]),x]","2 \log (x)+\log (x-\log (5-x)+3)","\log \left(50 x^2 (-x+\log (5-x)-3)\right)",1,"2*Log[x] + Log[3 + x - Log[5 - x]]","A",1
1278,1,30,34,0.0685551,"\int \frac{-2-3 x^2+e^2 \left(-2+3 x^2\right)+\left(4+6 x^2+e^2 \left(-6-9 x^2\right)\right) \log \left(\frac{2+3 x^2}{x^3}\right)+\left(-2-3 x^2+e^2 \left(2+3 x^2\right)\right) \log ^2\left(\frac{2+3 x^2}{x^3}\right)}{2+3 x^2+\left(-4-6 x^2\right) \log \left(\frac{2+3 x^2}{x^3}\right)+\left(2+3 x^2\right) \log ^2\left(\frac{2+3 x^2}{x^3}\right)} \, dx","Integrate[(-2 - 3*x^2 + E^2*(-2 + 3*x^2) + (4 + 6*x^2 + E^2*(-6 - 9*x^2))*Log[(2 + 3*x^2)/x^3] + (-2 - 3*x^2 + E^2*(2 + 3*x^2))*Log[(2 + 3*x^2)/x^3]^2)/(2 + 3*x^2 + (-4 - 6*x^2)*Log[(2 + 3*x^2)/x^3] + (2 + 3*x^2)*Log[(2 + 3*x^2)/x^3]^2),x]","\left(e^2-1\right) x-\frac{e^2 x}{\log \left(\frac{3 x^2+2}{x^3}\right)-1}","-e^2 \left(\frac{x}{\log \left(\frac{\frac{2}{x^2}+3}{x}\right)-1}-x-2\right)-x+\log (4)",1,"(-1 + E^2)*x - (E^2*x)/(-1 + Log[(2 + 3*x^2)/x^3])","A",1
1279,1,20,25,0.0012615,"\int \frac{1}{8} e^{2 e^3} \left(-5+16 x^3\right) \, dx","Integrate[(E^(2*E^3)*(-5 + 16*x^3))/8,x]","\frac{1}{8} e^{2 e^3} \left(4 x^4-5 x\right)","\frac{1}{4} e^{2 e^3} x^3 \left(2 x-\frac{5}{2 x^2}\right)",1,"(E^(2*E^3)*(-5*x + 4*x^4))/8","A",1
1280,1,18,20,0.0432657,"\int -\frac{5000 e^{5+625 e^{4 x}+4 x}}{e^{10+1250 e^{4 x}}+2 e^{5+625 e^{4 x}} \log (2)+\log ^2(2)} \, dx","Integrate[(-5000*E^(5 + 625*E^(4*x) + 4*x))/(E^(10 + 1250*E^(4*x)) + 2*E^(5 + 625*E^(4*x))*Log[2] + Log[2]^2),x]","\frac{2}{e^{625 e^{4 x}+5}+\log (2)}","\frac{2}{e^{625 e^{4 x}+5}+\log (2)}-5",1,"2/(E^(5 + 625*E^(4*x)) + Log[2])","A",1
1281,1,10,19,0.0022485,"\int \left(-3+e^x+2 x\right) \, dx","Integrate[-3 + E^x + 2*x,x]","x^2-3 x+e^x","x^2-3 x+e^x-e^{16}+e^2-2",1,"E^x - 3*x + x^2","A",1
1282,1,50,29,0.0635338,"\int \frac{396 x^2+285 x^3+72 x^4+262 x^5+192 x^6+48 x^7+4 x^8+e^{2 x} \left(-192+240 x+252 x^2+197 x^3+230 x^4+120 x^5+26 x^6+2 x^7\right)+e^x \left(384 x^2+288 x^3+456 x^4+422 x^5+168 x^6+30 x^7+2 x^8\right)}{192 x^2+144 x^3+36 x^4+3 x^5} \, dx","Integrate[(396*x^2 + 285*x^3 + 72*x^4 + 262*x^5 + 192*x^6 + 48*x^7 + 4*x^8 + E^(2*x)*(-192 + 240*x + 252*x^2 + 197*x^3 + 230*x^4 + 120*x^5 + 26*x^6 + 2*x^7) + E^x*(384*x^2 + 288*x^3 + 456*x^4 + 422*x^5 + 168*x^6 + 30*x^7 + 2*x^8))/(192*x^2 + 144*x^3 + 36*x^4 + 3*x^5),x]","\frac{1}{3} \left(x^4+2 e^x \left(x^3+3\right)+\frac{e^{2 x} \left(x^3+3\right)}{x}+6 x+\frac{3}{x+4}-\frac{12}{(x+4)^2}-232\right)","\frac{1}{3} \left(x^2+\frac{3}{x}\right) \left(x+e^x\right)^2+x+\frac{x}{(x+4)^2}",1,"(-232 + 6*x + x^4 - 12/(4 + x)^2 + 3/(4 + x) + 2*E^x*(3 + x^3) + (E^(2*x)*(3 + x^3))/x)/3","A",1
1283,1,16,15,0.0395802,"\int \frac{x^2+2 x^2 \log (x)+\log \left(2500-100 \log (3)+\log ^2(3)\right)}{x^3 \log (x)+x \log (x) \log \left(2500-100 \log (3)+\log ^2(3)\right)} \, dx","Integrate[(x^2 + 2*x^2*Log[x] + Log[2500 - 100*Log[3] + Log[3]^2])/(x^3*Log[x] + x*Log[x]*Log[2500 - 100*Log[3] + Log[3]^2]),x]","\log \left(x^2+\log \left((\log (3)-50)^2\right)\right)+\log (\log (x))","\log \left(\log (x) \left(x^2+\log \left((\log (3)-50)^2\right)\right)\right)",1,"Log[Log[x]] + Log[x^2 + Log[(-50 + Log[3])^2]]","A",1
1284,1,19,25,0.0226118,"\int \frac{-18+24 x-12 x^2+e^x \left(1-x-x^2+x^3\right)}{6-12 x+6 x^2} \, dx","Integrate[(-18 + 24*x - 12*x^2 + E^x*(1 - x - x^2 + x^3))/(6 - 12*x + 6*x^2),x]","-2 (x-1)+\frac{e^x x}{6}+\frac{1}{x-1}","\frac{1}{2} \left(\frac{e^x}{3}+\frac{2}{x-1}-2\right) x-x",1,"(-1 + x)^(-1) - 2*(-1 + x) + (E^x*x)/6","A",1
1285,1,27,26,0.0655606,"\int \frac{2 x+2 x^2+\frac{e^{-8+2 x^2} \left(-2+4 x^2\right)}{x^2}+x \log \left(e^{2 x} x^2\right)}{x} \, dx","Integrate[(2*x + 2*x^2 + (E^(-8 + 2*x^2)*(-2 + 4*x^2))/x^2 + x*Log[E^(2*x)*x^2])/x,x]","\frac{e^{2 x^2-8}}{x^2}+x \log \left(e^{2 x} x^2\right)+1","\frac{e^{2 x^2-8}}{x^2}+x \log \left(e^{2 x} x^2\right)",1,"1 + E^(-8 + 2*x^2)/x^2 + x*Log[E^(2*x)*x^2]","A",1
1286,1,16,16,0.0438374,"\int \frac{e^2 \left(-1+2 x-x^2\right)+e^2 \left(-x+x^2\right) \log (x)}{x \log ^3(x)} \, dx","Integrate[(E^2*(-1 + 2*x - x^2) + E^2*(-x + x^2)*Log[x])/(x*Log[x]^3),x]","\frac{e^2 (x-1)^2}{2 \log ^2(x)}","\frac{e^2 (x-1)^2}{2 \log ^2(x)}",1,"(E^2*(-1 + x)^2)/(2*Log[x]^2)","A",1
1287,1,24,25,0.0236754,"\int \frac{1-x-4 e^5 x^2+e^{5+x} \left(-10 x^5-2 x^6\right)}{x} \, dx","Integrate[(1 - x - 4*E^5*x^2 + E^(5 + x)*(-10*x^5 - 2*x^6))/x,x]","\log (x)-x \left(2 e^{x+5} x^4+2 e^5 x+1\right)","-2 e^5 \left(e^x x^3+1\right) x^2-x+\log (x)+\log (3)",1,"-(x*(1 + 2*E^5*x + 2*E^(5 + x)*x^4)) + Log[x]","A",1
1288,1,17,18,0.0869628,"\int \frac{4 x^2+e^x (-1+5 x)+\left(e^x+x\right) \log \left(e^x+x\right)}{e^x+x} \, dx","Integrate[(4*x^2 + E^x*(-1 + 5*x) + (E^x + x)*Log[E^x + x])/(E^x + x),x]","2 x^2-x+x \log \left(x+e^x\right)","x^2-x+x \left(x+\log \left(x+e^x\right)\right)+1",1,"-x + 2*x^2 + x*Log[E^x + x]","A",1
1289,1,24,27,0.6759013,"\int \frac{\exp \left(\frac{-60+12 e^4+120 x+3 x \log (x)}{-10 x+2 e^4 x+20 x^2}\right) \left(-300-12 e^8+e^4 (120-237 x)+1185 x-1170 x^2-30 x^2 \log (x)\right)}{50 x^2+2 e^8 x^2-200 x^3+200 x^4+e^4 \left(-20 x^2+40 x^3\right)} \, dx","Integrate[(E^((-60 + 12*E^4 + 120*x + 3*x*Log[x])/(-10*x + 2*E^4*x + 20*x^2))*(-300 - 12*E^8 + E^4*(120 - 237*x) + 1185*x - 1170*x^2 - 30*x^2*Log[x]))/(50*x^2 + 2*E^8*x^2 - 200*x^3 + 200*x^4 + E^4*(-20*x^2 + 40*x^3)),x]","e^{6/x} x^{\frac{3}{2 \left(10 x+e^4-5\right)}}","e^{\frac{3}{2} \left(\frac{4}{x}+\frac{\log (x)}{10 x+e^4-5}\right)}+1",1,"E^(6/x)*x^(3/(2*(-5 + E^4 + 10*x)))","A",1
1290,1,19,19,0.008592,"\int \frac{-264+192 x}{256+16 e^6-352 x+249 x^2-88 x^3+16 x^4+e^3 \left(-128+88 x-32 x^2\right)} \, dx","Integrate[(-264 + 192*x)/(256 + 16*E^6 - 352*x + 249*x^2 - 88*x^3 + 16*x^4 + E^3*(-128 + 88*x - 32*x^2)),x]","-\frac{24}{4 x^2-11 x-4 e^3+16}","\frac{6}{-x^2+\frac{11 x}{4}+e^3-4}",1,"-24/(16 - 4*E^3 - 11*x + 4*x^2)","A",1
1291,1,17,19,0.0203544,"\int \frac{1+4 e^{2 x} x+e^x (4+x)+\left(4+4 e^x x\right) \log (x)}{18 x} \, dx","Integrate[(1 + 4*E^(2*x)*x + E^x*(4 + x) + (4 + 4*E^x*x)*Log[x])/(18*x),x]","\frac{1}{144} \left(4 e^x+4 \log (x)+1\right)^2","\frac{1}{9} \left(-e^x-\log (x)-\frac{1}{4}\right)^2",1,"(1 + 4*E^x + 4*Log[x])^2/144","A",1
1292,1,22,27,0.236805,"\int \frac{15+3 e^{2 x}-12 x-20 x^2+6 x^3+3 x^4+e^x \left(14-7 x^2\right)}{9+e^{2 x}-6 x-5 x^2+2 x^3+x^4+e^x \left(6-2 x-2 x^2\right)} \, dx","Integrate[(15 + 3*E^(2*x) - 12*x - 20*x^2 + 6*x^3 + 3*x^4 + E^x*(14 - 7*x^2))/(9 + E^(2*x) - 6*x - 5*x^2 + 2*x^3 + x^4 + E^x*(6 - 2*x - 2*x^2)),x]","x \left(3-\frac{x-4}{x^2+x-e^x-3}\right)","\frac{(4-x) x}{x^2+x-e^x-3}+3 x+e^{10}",1,"x*(3 - (-4 + x)/(-3 - E^x + x + x^2))","A",1
1293,1,39,26,0.0606882,"\int \frac{8 x^2-24 x^3-16 x^5+16 x^6+16 x^7-80 x^8+320 x^9-640 x^{10}+640 x^{11}-320 x^{12}+64 x^{13}+\left(6 x-14 x^2-16 x^5+32 x^6-40 x^7+120 x^8-240 x^9+240 x^{10}-120 x^{11}+24 x^{12}\right) \log (2)+\left(1-2 x+x^3-5 x^4+7 x^5-5 x^6+10 x^7-20 x^8+20 x^9-10 x^{10}+2 x^{11}\right) \log ^2(2)}{-4 x^5+20 x^6-40 x^7+40 x^8-20 x^9+4 x^{10}} \, dx","Integrate[(8*x^2 - 24*x^3 - 16*x^5 + 16*x^6 + 16*x^7 - 80*x^8 + 320*x^9 - 640*x^10 + 640*x^11 - 320*x^12 + 64*x^13 + (6*x - 14*x^2 - 16*x^5 + 32*x^6 - 40*x^7 + 120*x^8 - 240*x^9 + 240*x^10 - 120*x^11 + 24*x^12)*Log[2] + (1 - 2*x + x^3 - 5*x^4 + 7*x^5 - 5*x^6 + 10*x^7 - 20*x^8 + 20*x^9 - 10*x^10 + 2*x^11)*Log[2]^2)/(-4*x^5 + 20*x^6 - 40*x^7 + 40*x^8 - 20*x^9 + 4*x^10),x]","\frac{\left(2 x^5-4 x^4+2 x^3+1\right)^2 (4 x+\log (2))^2}{16 (x-1)^4 x^4}","\left(\frac{1}{\left(x-x^2\right)^2}+2 x\right)^2 \left(x+\frac{\log (2)}{4}\right)^2",1,"((1 + 2*x^3 - 4*x^4 + 2*x^5)^2*(4*x + Log[2])^2)/(16*(-1 + x)^4*x^4)","A",1
1294,1,25,28,0.042553,"\int \frac{-3-6 x-108 x^2-27 x^4+e^x \left(-27 x^2+27 x^3\right)+9 \log (x)}{x^4} \, dx","Integrate[(-3 - 6*x - 108*x^2 - 27*x^4 + E^x*(-27*x^2 + 27*x^3) + 9*Log[x])/x^4,x]","-\frac{3 \left(x \left(9 x^3-9 \left(e^x+4\right) x-1\right)+\log (x)\right)}{x^3}","\frac{3 \left(9 \left(-x^2+e^x+4\right)+\frac{x-\log (x)}{x^2}\right)}{x}",1,"(-3*(x*(-1 - 9*(4 + E^x)*x + 9*x^3) + Log[x]))/x^3","A",1
1295,1,20,17,0.0932121,"\int \frac{-4 x-4 x^3+6 x^8+\left(4 x+18 x^6\right) \log (x)+18 x^4 \log ^2(x)+6 x^2 \log ^3(x)}{3 x^6+9 x^4 \log (x)+9 x^2 \log ^2(x)+3 \log ^3(x)} \, dx","Integrate[(-4*x - 4*x^3 + 6*x^8 + (4*x + 18*x^6)*Log[x] + 18*x^4*Log[x]^2 + 6*x^2*Log[x]^3)/(3*x^6 + 9*x^4*Log[x] + 9*x^2*Log[x]^2 + 3*Log[x]^3),x]","\frac{2}{3} \left(x^3+\frac{x^2}{\left(x^2+\log (x)\right)^2}\right)","\frac{2}{3} x^2 \left(\frac{1}{\left(x^2+\log (x)\right)^2}+x\right)",1,"(2*(x^3 + x^2/(x^2 + Log[x])^2))/3","A",1
1296,1,89,33,5.4566381,"\int \frac{e^{2+2 x} (36-9 x)+4 x-x^2+e^{1+x} \left(8 x-6 x^2+x^3\right)+\left(-8 x+2 x^2+e^{1+x} (-72+18 x)\right) \log (x)+(36-9 x) \log ^2(x)+\left(e^{2+2 x} (-48-9 x)-e^{1+x} x^2+\left(x^2+e^{1+x} (96+18 x)\right) \log (x)+(-48-9 x) \log ^2(x)\right) \log \left(\frac{x^2+e^{1+x} (48+9 x)+(-48-9 x) \log (x)}{-12 e^{1+x}+12 \log (x)}\right)}{e^{1+x} x^2+e^{2+2 x} (48+9 x)+\left(e^{1+x} (-96-18 x)-x^2\right) \log (x)+(48+9 x) \log ^2(x)} \, dx","Integrate[(E^(2 + 2*x)*(36 - 9*x) + 4*x - x^2 + E^(1 + x)*(8*x - 6*x^2 + x^3) + (-8*x + 2*x^2 + E^(1 + x)*(-72 + 18*x))*Log[x] + (36 - 9*x)*Log[x]^2 + (E^(2 + 2*x)*(-48 - 9*x) - E^(1 + x)*x^2 + (x^2 + E^(1 + x)*(96 + 18*x))*Log[x] + (-48 - 9*x)*Log[x]^2)*Log[(x^2 + E^(1 + x)*(48 + 9*x) + (-48 - 9*x)*Log[x])/(-12*E^(1 + x) + 12*Log[x])])/(E^(1 + x)*x^2 + E^(2 + 2*x)*(48 + 9*x) + (E^(1 + x)*(-96 - 18*x) - x^2)*Log[x] + (48 + 9*x)*Log[x]^2),x]","4 \log \left(x^2+9 e^{x+1} x+48 e^{x+1}-9 x \log (x)-48 \log (x)\right)-x \log \left(\frac{x^2+e^{x+1} (9 x+48)-3 (3 x+16) \log (x)}{12 \left(\log (x)-e^{x+1}\right)}\right)-4 \log \left(e^{x+1}-\log (x)\right)","(4-x) \log \left(\frac{1}{4} x \left(\frac{x}{3 \left(\log (x)-e^{x+1}\right)}-3\right)-4\right)",1,"-4*Log[E^(1 + x) - Log[x]] + 4*Log[48*E^(1 + x) + 9*E^(1 + x)*x + x^2 - 48*Log[x] - 9*x*Log[x]] - x*Log[(x^2 + E^(1 + x)*(48 + 9*x) - 3*(16 + 3*x)*Log[x])/(12*(-E^(1 + x) + Log[x]))]","B",1
1297,1,34,25,0.0113643,"\int \frac{-8 x-6 x^2+\left(-5-12 x-6 x^2\right) \log ^2(3)}{2 \log ^2(3)} \, dx","Integrate[(-8*x - 6*x^2 + (-5 - 12*x - 6*x^2)*Log[3]^2)/(2*Log[3]^2),x]","-x^3-\frac{x^3}{\log ^2(3)}-3 x^2-\frac{2 x^2}{\log ^2(3)}-\frac{5 x}{2}","\frac{3 x}{2}-(x+2) \left(x^2+\frac{x^2}{\log ^2(3)}+x+2\right)",1,"(-5*x)/2 - 3*x^2 - x^3 - (2*x^2)/Log[3]^2 - x^3/Log[3]^2","A",1
1298,1,26,24,0.1968671,"\int \frac{-15+32 x^3+192 x^4+128 x^3 \log (5 x)}{225-480 x^3+1920 x^4+256 x^6-2048 x^7+4096 x^8+\left(1920 x^3-2048 x^6+8192 x^7\right) \log (5 x)+4096 x^6 \log ^2(5 x)} \, dx","Integrate[(-15 + 32*x^3 + 192*x^4 + 128*x^3*Log[5*x])/(225 - 480*x^3 + 1920*x^4 + 256*x^6 - 2048*x^7 + 4096*x^8 + (1920*x^3 - 2048*x^6 + 8192*x^7)*Log[5*x] + 4096*x^6*Log[5*x]^2),x]","-\frac{x}{64 x^4-16 x^3+64 x^3 \log (5 x)+15}","\frac{x}{-16 x^2 (4 x (x+\log (5 x))-x)-15}",1,"-(x/(15 - 16*x^3 + 64*x^4 + 64*x^3*Log[5*x]))","A",1
1299,1,19,19,0.0016559,"\int \frac{2 e^{\frac{e^{39/16}+\log (3) \log \left(\frac{x^2}{9}\right)}{\log (3)}}}{x} \, dx","Integrate[(2*E^((E^(39/16) + Log[3]*Log[x^2/9])/Log[3]))/x,x]","\frac{1}{9} x^2 e^{\frac{e^{39/16}}{\log (3)}}","\frac{1}{9} x^2 e^{\frac{e^{39/16}}{\log (3)}}",1,"(E^(E^(39/16)/Log[3])*x^2)/9","A",1
1300,1,18,23,0.0514631,"\int \frac{12+12 x+3 x^2+e^{15+6 x} (44+24 x)}{12+12 x+3 x^2} \, dx","Integrate[(12 + 12*x + 3*x^2 + E^(15 + 6*x)*(44 + 24*x))/(12 + 12*x + 3*x^2),x]","x+\frac{4 e^{6 x+15}}{3 (x+2)}","x+\frac{4 e^{-5 (-x-2)+x+5}}{3 (x+2)}",1,"x + (4*E^(15 + 6*x))/(3*(2 + x))","A",1
1301,1,21,21,0.1000012,"\int \frac{2 x^3+e^{\frac{2 \left(3 x^2+(16+4 x) \log (x)\right)}{x^2}} \left(-32-8 x-x^2+(64+8 x) \log (x)\right)}{x^2} \, dx","Integrate[(2*x^3 + E^((2*(3*x^2 + (16 + 4*x)*Log[x]))/x^2)*(-32 - 8*x - x^2 + (64 + 8*x)*Log[x]))/x^2,x]","x^2-e^6 x^{\frac{8 (x+4)}{x^2}+1}","x^2-x e^{\frac{8 (x+4) \log (x)}{x^2}+6}",1,"x^2 - E^6*x^(1 + (8*(4 + x))/x^2)","A",1
1302,1,130,26,0.2883389,"\int \frac{-12000-15601 x-12 e^{\frac{4}{5} (1+5 x)} x-3960 x^2-372 x^3-12 x^4+e^{\frac{3}{5} (1+5 x)} \left(-12-372 x-36 x^2\right)+e^{\frac{2}{5} (1+5 x)} \left(-360-3996 x-756 x^2-36 x^3\right)+e^{\frac{1}{5} (1+5 x)} \left(-3600-16320 x-4356 x^2-396 x^3-12 x^4\right)+\left(-3600-4320 x-36 e^{\frac{3}{5} (1+5 x)} x-756 x^2-36 x^3+e^{\frac{2}{5} (1+5 x)} \left(-36-756 x-72 x^2\right)+e^{\frac{1}{5} (1+5 x)} \left(-720-4392 x-792 x^2-36 x^3\right)\right) \log (x)+\left(-360-396 x-36 e^{\frac{2}{5} (1+5 x)} x-36 x^2+e^{\frac{1}{5} (1+5 x)} \left(-36-396 x-36 x^2\right)\right) \log ^2(x)+\left(-12-12 x-12 e^{\frac{1}{5} (1+5 x)} x\right) \log ^3(x)}{x} \, dx","Integrate[(-12000 - 15601*x - 12*E^((4*(1 + 5*x))/5)*x - 3960*x^2 - 372*x^3 - 12*x^4 + E^((3*(1 + 5*x))/5)*(-12 - 372*x - 36*x^2) + E^((2*(1 + 5*x))/5)*(-360 - 3996*x - 756*x^2 - 36*x^3) + E^((1 + 5*x)/5)*(-3600 - 16320*x - 4356*x^2 - 396*x^3 - 12*x^4) + (-3600 - 4320*x - 36*E^((3*(1 + 5*x))/5)*x - 756*x^2 - 36*x^3 + E^((2*(1 + 5*x))/5)*(-36 - 756*x - 72*x^2) + E^((1 + 5*x)/5)*(-720 - 4392*x - 792*x^2 - 36*x^3))*Log[x] + (-360 - 396*x - 36*E^((2*(1 + 5*x))/5)*x - 36*x^2 + E^((1 + 5*x)/5)*(-36 - 396*x - 36*x^2))*Log[x]^2 + (-12 - 12*x - 12*E^((1 + 5*x)/5)*x)*Log[x]^3)/x,x]","-x \left(3 x^3+120 x^2+1800 x+12001\right)-3 e^{4 x+\frac{4}{5}}-12 e^{x+\frac{1}{5}} (x+10)^3-18 e^{2 x+\frac{2}{5}} (x+10)^2-12 e^{3 x+\frac{3}{5}} (x+10)-3 \log ^4(x)-12 \left(x+e^{x+\frac{1}{5}}+10\right) \log ^3(x)-18 \left(x+e^{x+\frac{1}{5}}+10\right)^2 \log ^2(x)-12 \left(x+e^{x+\frac{1}{5}}+10\right)^3 \log (x)","1-x \left(\frac{3 \left(x+e^{x+\frac{1}{5}}+\log (x)+10\right)^4}{x}+1\right)",1,"-3*E^(4/5 + 4*x) - 12*E^(3/5 + 3*x)*(10 + x) - 18*E^(2/5 + 2*x)*(10 + x)^2 - 12*E^(1/5 + x)*(10 + x)^3 - x*(12001 + 1800*x + 120*x^2 + 3*x^3) - 12*(10 + E^(1/5 + x) + x)^3*Log[x] - 18*(10 + E^(1/5 + x) + x)^2*Log[x]^2 - 12*(10 + E^(1/5 + x) + x)*Log[x]^3 - 3*Log[x]^4","B",1
1303,1,4,10,0.0004892,"\int \frac{1+x}{x} \, dx","Integrate[(1 + x)/x,x]","x+\log (x)","x+\log (2 x)+e^{15}+6",1,"x + Log[x]","A",1
1304,1,34,19,0.0889646,"\int \frac{-10 x+15 x^2+10 x^4+28 x^5+7 x^6+2 x^8+14 x^9+\left(10 x+20 x^4+6 x^5+12 x^8\right) \log \left(\frac{1+2 x^3}{x^2}\right)}{1+2 x^3} \, dx","Integrate[(-10*x + 15*x^2 + 10*x^4 + 28*x^5 + 7*x^6 + 2*x^8 + 14*x^9 + (10*x + 20*x^4 + 6*x^5 + 12*x^8)*Log[(1 + 2*x^3)/x^2])/(1 + 2*x^3),x]","x^7+5 x^3+5 x^2 \log \left(\frac{1}{x^2}+2 x\right)+x^6 \log \left(\frac{1}{x^2}+2 x\right)","x^2 \left(x^4+5\right) \left(\log \left(\frac{1}{x^2}+2 x\right)+x\right)",1,"5*x^3 + x^7 + 5*x^2*Log[x^(-2) + 2*x] + x^6*Log[x^(-2) + 2*x]","A",1
1305,1,31,30,0.0644579,"\int \frac{6 x^2+6 x^3+\left(-216+1296 x+54 x^2-396 x^3\right) \log (x)+\left(108-648 x-9 x^2+210 x^3\right) \log (x) \log (\log (x))+\left(-18+108 x-36 x^3\right) \log (x) \log ^2(\log (x))+\left(1-6 x+2 x^3\right) \log (x) \log ^3(\log (x))}{\left(-216-432 x-216 x^2\right) \log (x)+\left(108+216 x+108 x^2\right) \log (x) \log (\log (x))+\left(-18-36 x-18 x^2\right) \log (x) \log ^2(\log (x))+\left(1+2 x+x^2\right) \log (x) \log ^3(\log (x))} \, dx","Integrate[(6*x^2 + 6*x^3 + (-216 + 1296*x + 54*x^2 - 396*x^3)*Log[x] + (108 - 648*x - 9*x^2 + 210*x^3)*Log[x]*Log[Log[x]] + (-18 + 108*x - 36*x^3)*Log[x]*Log[Log[x]]^2 + (1 - 6*x + 2*x^3)*Log[x]*Log[Log[x]]^3)/((-216 - 432*x - 216*x^2)*Log[x] + (108 + 216*x + 108*x^2)*Log[x]*Log[Log[x]] + (-18 - 36*x - 18*x^2)*Log[x]*Log[Log[x]]^2 + (1 + 2*x + x^2)*Log[x]*Log[Log[x]]^3),x]","-\frac{3 x^3}{(x+1) (\log (\log (x))-6)^2}+x^2-4 x-\frac{5}{x+1}","x \left(-\frac{5-\frac{3 x^2}{(6-\log (\log (x)))^2}}{-x-1}+x-4\right)",1,"-4*x + x^2 - 5/(1 + x) - (3*x^3)/((1 + x)*(-6 + Log[Log[x]])^2)","A",1
1306,1,22,24,0.202916,"\int e^{16-4 e^3-4 x} \left((2-2 x-2 x \log (x)) \log \left(x^{1-x}\right)+(1-4 x) \log ^2\left(x^{1-x}\right)\right) \, dx","Integrate[E^(16 - 4*E^3 - 4*x)*((2 - 2*x - 2*x*Log[x])*Log[x^(1 - x)] + (1 - 4*x)*Log[x^(1 - x)]^2),x]","e^{-4 \left(x+e^3-4\right)} x \log ^2\left(x^{1-x}\right)","e^{-4 x-4 e^3+16} x \log ^2\left(x^{1-x}\right)",1,"(x*Log[x^(1 - x)]^2)/E^(4*(-4 + E^3 + x))","A",1
1307,1,37,29,0.0066683,"\int \frac{100-40 e^2+4 e^4-x^3+\left(10 x^4+2 x^5\right) \log (x)+x^5 \log ^2(x)}{x^5} \, dx","Integrate[(100 - 40*E^2 + 4*E^4 - x^3 + (10*x^4 + 2*x^5)*Log[x] + x^5*Log[x]^2)/x^5,x]","-\frac{e^4}{x^4}+\frac{10 e^2}{x^4}-\frac{25}{x^4}+\frac{1}{x}+x \log ^2(x)+5 \log ^2(x)","\frac{x-\frac{\left(5-e^2\right)^2}{x^2}}{x^2}+(x+5) \log ^2(x)",1,"-25/x^4 + (10*E^2)/x^4 - E^4/x^4 + x^(-1) + 5*Log[x]^2 + x*Log[x]^2","A",1
1308,1,25,25,0.2129751,"\int \frac{3 e^5+2 e^{5+2 x}+e^{5+x} (5-2 x)+e^{5+x} x \log (x)}{4 x+8 e^x x+4 e^{2 x} x+\left(-4 x-8 e^x x-4 e^{2 x} x\right) \log (x)+\left(x+2 e^x x+e^{2 x} x\right) \log ^2(x)} \, dx","Integrate[(3*E^5 + 2*E^(5 + 2*x) + E^(5 + x)*(5 - 2*x) + E^(5 + x)*x*Log[x])/(4*x + 8*E^x*x + 4*E^(2*x)*x + (-4*x - 8*E^x*x - 4*E^(2*x)*x)*Log[x] + (x + 2*E^x*x + E^(2*x)*x)*Log[x]^2),x]","-\frac{e^5 \left(2 e^x+3\right)}{\left(e^x+1\right) (\log (x)-2)}","\frac{e^5 \left(\frac{x}{e^x x+x}+2\right)}{2-\log (x)}",1,"-((E^5*(3 + 2*E^x))/((1 + E^x)*(-2 + Log[x])))","A",1
1309,1,22,22,0.0231069,"\int \frac{-x^3+2 e^{e^{2 x}+2 x} x^3-4 \log \left(x^2\right)+2 \log ^2\left(x^2\right)}{x^3} \, dx","Integrate[(-x^3 + 2*E^(E^(2*x) + 2*x)*x^3 - 4*Log[x^2] + 2*Log[x^2]^2)/x^3,x]","-\frac{\log ^2\left(x^2\right)}{x^2}+e^{e^{2 x}}-x","-\frac{\log ^2\left(x^2\right)}{x^2}+e^{e^{2 x}}-x",1,"E^E^(2*x) - x - Log[x^2]^2/x^2","A",1
1310,1,21,28,0.2201018,"\int \frac{-1+x+e^x \left(2 x^2+x^3\right)+6 x \log \left(\frac{e^{x+e^x x^2}}{x}\right)}{x \log \left(\frac{e^{x+e^x x^2}}{x}\right)} \, dx","Integrate[(-1 + x + E^x*(2*x^2 + x^3) + 6*x*Log[E^(x + E^x*x^2)/x])/(x*Log[E^(x + E^x*x^2)/x]),x]","\log \left(\log \left(\frac{e^{e^x x^2+x}}{x}\right)\right)+6 x","x \left(\frac{\log \left(\log \left(\frac{e^{e^x x^2+x}}{x}\right)\right)}{x}+5\right)+x+4",1,"6*x + Log[Log[E^(x + E^x*x^2)/x]]","A",1
1311,1,22,26,0.3910461,"\int \frac{e^{-1-3 x} \log ^2\left(-x+x^2\right) \left((-9+18 x) \log (x)+\left(-3+3 x+\left(9-9 x^2\right) \log (x)\right) \log \left(-x+x^2\right)\right)}{-x^4+x^5} \, dx","Integrate[(E^(-1 - 3*x)*Log[-x + x^2]^2*((-9 + 18*x)*Log[x] + (-3 + 3*x + (9 - 9*x^2)*Log[x])*Log[-x + x^2]))/(-x^4 + x^5),x]","\frac{3 e^{-3 x-1} \log (x) \log ^3((x-1) x)}{x^3}","\frac{3 e^{3 \left(\log \left(\log \left(x^2-x\right)\right)-x\right)-1} \log (x)}{x^3}",1,"(3*E^(-1 - 3*x)*Log[x]*Log[(-1 + x)*x]^3)/x^3","A",1
1312,1,26,23,0.0034658,"\int \left(8 e^4 x-12 x^2-\log \left(2 e^3\right)\right) \log (\log (5)) \, dx","Integrate[(8*E^4*x - 12*x^2 - Log[2*E^3])*Log[Log[5]],x]","\log (\log (5)) \left(-4 x^3+4 e^4 x^2-3 x-x \log (2)\right)","\left(e^4-x\right) \log (\log (5)) \left(4 x^2+\log \left(2 e^3\right)\right)",1,"(-3*x + 4*E^4*x^2 - 4*x^3 - x*Log[2])*Log[Log[5]]","A",1
1313,1,24,24,0.7059068,"\int \frac{5+10 e^{x^2} x+e^{5+e^{36 x^4}} \left(1+2 e^{x^2} x+e^{36 x^4} \left(288 x^3-144 e^{x^2} x^3-144 x^4\right)\right)}{25+10 e^{5+e^{36 x^4}}+e^{10+2 e^{36 x^4}}} \, dx","Integrate[(5 + 10*E^x^2*x + E^(5 + E^(36*x^4))*(1 + 2*E^x^2*x + E^(36*x^4)*(288*x^3 - 144*E^x^2*x^3 - 144*x^4)))/(25 + 10*E^(5 + E^(36*x^4)) + E^(10 + 2*E^(36*x^4))),x]","\frac{e^{x^2}+x-2}{e^{e^{36 x^4}+5}+5}","\frac{e^{x^2}+x-2}{e^{e^{36 x^4}+5}+5}",1,"(-2 + E^x^2 + x)/(5 + E^(5 + E^(36*x^4)))","A",1
1314,0,0,31,15.640384,"\int \frac{\exp \left(\frac{6400-220 x+4 x^2-1280 x^3+172 x^4-4 x^5+64 x^6-15 x^7+x^8+\left(6400-860 x+20 x^2-640 x^3+150 x^4-10 x^5\right) \log (2)+\left(1600-375 x+25 x^2\right) \log ^2(2)}{100-20 x^3+x^6+\left(100-10 x^3\right) \log (2)+25 \log ^2(2)}\right) \left(-2200+80 x+5780 x^3-184 x^4-706 x^6+76 x^7+15 x^9-2 x^{10}+\left(-9700+440 x+5140 x^3-520 x^4-225 x^6+30 x^7\right) \log (2)+\left(-8050+700 x+1125 x^3-150 x^4\right) \log ^2(2)+(-1875+250 x) \log ^3(2)\right)}{1000-300 x^3+30 x^6-x^9+\left(1500-300 x^3+15 x^6\right) \log (2)+\left(750-75 x^3\right) \log ^2(2)+125 \log ^3(2)} \, dx","Integrate[(E^((6400 - 220*x + 4*x^2 - 1280*x^3 + 172*x^4 - 4*x^5 + 64*x^6 - 15*x^7 + x^8 + (6400 - 860*x + 20*x^2 - 640*x^3 + 150*x^4 - 10*x^5)*Log[2] + (1600 - 375*x + 25*x^2)*Log[2]^2)/(100 - 20*x^3 + x^6 + (100 - 10*x^3)*Log[2] + 25*Log[2]^2))*(-2200 + 80*x + 5780*x^3 - 184*x^4 - 706*x^6 + 76*x^7 + 15*x^9 - 2*x^10 + (-9700 + 440*x + 5140*x^3 - 520*x^4 - 225*x^6 + 30*x^7)*Log[2] + (-8050 + 700*x + 1125*x^3 - 150*x^4)*Log[2]^2 + (-1875 + 250*x)*Log[2]^3))/(1000 - 300*x^3 + 30*x^6 - x^9 + (1500 - 300*x^3 + 15*x^6)*Log[2] + (750 - 75*x^3)*Log[2]^2 + 125*Log[2]^3),x]","\int \frac{\exp \left(\frac{6400-220 x+4 x^2-1280 x^3+172 x^4-4 x^5+64 x^6-15 x^7+x^8+\left(6400-860 x+20 x^2-640 x^3+150 x^4-10 x^5\right) \log (2)+\left(1600-375 x+25 x^2\right) \log ^2(2)}{100-20 x^3+x^6+\left(100-10 x^3\right) \log (2)+25 \log ^2(2)}\right) \left(-2200+80 x+5780 x^3-184 x^4-706 x^6+76 x^7+15 x^9-2 x^{10}+\left(-9700+440 x+5140 x^3-520 x^4-225 x^6+30 x^7\right) \log (2)+\left(-8050+700 x+1125 x^3-150 x^4\right) \log ^2(2)+(-1875+250 x) \log ^3(2)\right)}{1000-300 x^3+30 x^6-x^9+\left(1500-300 x^3+15 x^6\right) \log (2)+\left(750-75 x^3\right) \log ^2(2)+125 \log ^3(2)} \, dx","\exp \left(\left(x-2 \left(\frac{4}{\frac{5 (2+\log (2))}{x}-x^2}+4\right)\right)^2+x\right)",1,"Integrate[(E^((6400 - 220*x + 4*x^2 - 1280*x^3 + 172*x^4 - 4*x^5 + 64*x^6 - 15*x^7 + x^8 + (6400 - 860*x + 20*x^2 - 640*x^3 + 150*x^4 - 10*x^5)*Log[2] + (1600 - 375*x + 25*x^2)*Log[2]^2)/(100 - 20*x^3 + x^6 + (100 - 10*x^3)*Log[2] + 25*Log[2]^2))*(-2200 + 80*x + 5780*x^3 - 184*x^4 - 706*x^6 + 76*x^7 + 15*x^9 - 2*x^10 + (-9700 + 440*x + 5140*x^3 - 520*x^4 - 225*x^6 + 30*x^7)*Log[2] + (-8050 + 700*x + 1125*x^3 - 150*x^4)*Log[2]^2 + (-1875 + 250*x)*Log[2]^3))/(1000 - 300*x^3 + 30*x^6 - x^9 + (1500 - 300*x^3 + 15*x^6)*Log[2] + (750 - 75*x^3)*Log[2]^2 + 125*Log[2]^3), x]","F",-1
1315,1,18,20,0.0189348,"\int \frac{1}{4} \left(e^{e^x} \left(-1+e^x (-64-x)\right)+80 x\right) \, dx","Integrate[(E^E^x*(-1 + E^x*(-64 - x)) + 80*x)/4,x]","10 x^2-\frac{1}{4} e^{e^x} (x+64)","10 x^2-e^{e^x} \left(\frac{x}{4}+16\right)",1,"10*x^2 - (E^E^x*(64 + x))/4","A",1
1316,1,57,33,0.1054278,"\int \frac{20992-80852 x+116568 x^2-74529 x^3+17820 x^4+\left(-10512+35460 x-43308 x^2+22248 x^3-3888 x^4\right) \log (x)+\left(1296-3888 x+3888 x^2-1296 x^3\right) \log ^2(x)}{-8 x^3+24 x^4-24 x^5+8 x^6} \, dx","Integrate[(20992 - 80852*x + 116568*x^2 - 74529*x^3 + 17820*x^4 + (-10512 + 35460*x - 43308*x^2 + 22248*x^3 - 3888*x^4)*Log[x] + (1296 - 3888*x + 3888*x^2 - 1296*x^3)*Log[x]^2)/(-8*x^3 + 24*x^4 - 24*x^5 + 8*x^6),x]","\frac{-27864 x^3+72153 x^2+72 \left(108 x^3-345 x^2+365 x-128\right) \log (x)-60672 x+1296 (x-1)^2 \log ^2(x)+16384}{16 (x-1)^2 x^2}","\left(\frac{1}{4 (x-1)}+\frac{5}{x}+9 \left(\frac{3-\log (x)}{x}-3\right)\right)^2+5",1,"(16384 - 60672*x + 72153*x^2 - 27864*x^3 + 72*(-128 + 365*x - 345*x^2 + 108*x^3)*Log[x] + 1296*(-1 + x)^2*Log[x]^2)/(16*(-1 + x)^2*x^2)","A",1
1317,1,38,25,0.3867669,"\int \frac{50 \log ^2(3)+e^8 x \log \left(-\frac{x}{2}\right) \log ^3\left(5 \log \left(-\frac{x}{2}\right)\right)}{-25 x \log ^2(3) \log \left(-\frac{x}{2}\right) \log \left(5 \log \left(-\frac{x}{2}\right)\right)+e^8 x^2 \log \left(-\frac{x}{2}\right) \log ^3\left(5 \log \left(-\frac{x}{2}\right)\right)} \, dx","Integrate[(50*Log[3]^2 + E^8*x*Log[-1/2*x]*Log[5*Log[-1/2*x]]^3)/(-25*x*Log[3]^2*Log[-1/2*x]*Log[5*Log[-1/2*x]] + E^8*x^2*Log[-1/2*x]*Log[5*Log[-1/2*x]]^3),x]","\log \left(25 \log ^2(3)-e^8 x \log ^2\left(5 \log \left(-\frac{x}{2}\right)\right)\right)-2 \log \left(\log \left(5 \log \left(-\frac{x}{2}\right)\right)\right)","\log \left(\frac{25 \log ^2(3)}{e^8 \log ^2\left(5 \log \left(-\frac{x}{2}\right)\right)}-x\right)",1,"-2*Log[Log[5*Log[-1/2*x]]] + Log[25*Log[3]^2 - E^8*x*Log[5*Log[-1/2*x]]^2]","A",1
1318,1,30,29,0.393488,"\int \frac{e^{-x} \left(e^x x^2+e^{\frac{1-e^{e^{e^{-x} \left(-x+e^x x^6\right)}}+x^2}{x}} \left(e^x \left(-1+x^2\right)+e^{e^{e^{-x} \left(-x+e^x x^6\right)}} \left(e^x+e^{e^{-x} \left(-x+e^x x^6\right)} \left(x-x^2-6 e^x x^6\right)\right)\right)\right)}{x^2} \, dx","Integrate[(E^x*x^2 + E^((1 - E^E^((-x + E^x*x^6)/E^x) + x^2)/x)*(E^x*(-1 + x^2) + E^E^((-x + E^x*x^6)/E^x)*(E^x + E^((-x + E^x*x^6)/E^x)*(x - x^2 - 6*E^x*x^6))))/(E^x*x^2),x]","e^{-\frac{e^{e^{x^6-e^{-x} x}}}{x}+x+\frac{1}{x}}+x","e^{x-\frac{e^{e^{x^6-e^{-x} x}}-1}{x}}+x",1,"E^(x^(-1) - E^E^(-(x/E^x) + x^6)/x + x) + x","A",1
1319,1,6,8,0.0011867,"\int \frac{256}{1+256 x} \, dx","Integrate[256/(1 + 256*x),x]","\log (256 x+1)","\log \left(e \left(x+\frac{1}{256}\right)\right)",1,"Log[1 + 256*x]","A",1
1320,1,31,29,0.2571345,"\int \frac{240 x+120 e^4 x+15 e^8 x-5 x^2+\left(-240-120 e^4-15 e^8+5 x\right) \log (5)+\left(5 x^2+\left(-240-120 e^4-15 e^8\right) \log (5)\right) \log (x) \log (\log (x))}{\left(2304 x^2+144 e^{12} x^2+9 e^{16} x^2-96 x^3+x^4+e^4 \left(2304 x^2-48 x^3\right)+e^8 \left(864 x^2-6 x^3\right)+\left(-4608 x-288 e^{12} x-18 e^{16} x+192 x^2-2 x^3+e^8 \left(-1728 x+12 x^2\right)+e^4 \left(-4608 x+96 x^2\right)\right) \log (5)+\left(2304+144 e^{12}+9 e^{16}+e^4 (2304-48 x)+e^8 (864-6 x)-96 x+x^2\right) \log ^2(5)\right) \log (x)} \, dx","Integrate[(240*x + 120*E^4*x + 15*E^8*x - 5*x^2 + (-240 - 120*E^4 - 15*E^8 + 5*x)*Log[5] + (5*x^2 + (-240 - 120*E^4 - 15*E^8)*Log[5])*Log[x]*Log[Log[x]])/((2304*x^2 + 144*E^12*x^2 + 9*E^16*x^2 - 96*x^3 + x^4 + E^4*(2304*x^2 - 48*x^3) + E^8*(864*x^2 - 6*x^3) + (-4608*x - 288*E^12*x - 18*E^16*x + 192*x^2 - 2*x^3 + E^8*(-1728*x + 12*x^2) + E^4*(-4608*x + 96*x^2))*Log[5] + (2304 + 144*E^12 + 9*E^16 + E^4*(2304 - 48*x) + E^8*(864 - 6*x) - 96*x + x^2)*Log[5]^2)*Log[x]),x]","\frac{5 x \log (\log (x))}{\left(-x+3 e^8+24 e^4+48\right) (x-\log (5))}","-\frac{5 x \log (\log (x))}{\left(3 \left(4+e^4\right)^2-x\right) (\log (5)-x)}",1,"(5*x*Log[Log[x]])/((48 + 24*E^4 + 3*E^8 - x)*(x - Log[5]))","A",1
1321,1,26,25,1.2295918,"\int \frac{-3-x-x^2+\left(x+2 x^2\right) \log (x)-e^{1+e^4+e^{1+e^4-x}-x} x \log ^2(x)}{x \log ^2(x)} \, dx","Integrate[(-3 - x - x^2 + (x + 2*x^2)*Log[x] - E^(1 + E^4 + E^(1 + E^4 - x) - x)*x*Log[x]^2)/(x*Log[x]^2),x]","\frac{x^2+x+e^{e^{-x+e^4+1}} \log (x)+3}{\log (x)}","\frac{x^2+x+3}{\log (x)}+e^{e^{-x+e^4+1}}+2",1,"(3 + x + x^2 + E^E^(1 + E^4 - x)*Log[x])/Log[x]","A",1
1322,1,28,29,0.2335368,"\int \frac{-40-10 x-e^8 x+e^4 \left(-30 x-10 x^2\right)+\left(-30 x-2 e^4 x-10 x^2\right) \log (x)-x \log ^2(x)}{3 e^8 x+e^4 \left(120 x+30 x^2\right)+\left(120 x+6 e^4 x+30 x^2\right) \log (x)+3 x \log ^2(x)} \, dx","Integrate[(-40 - 10*x - E^8*x + E^4*(-30*x - 10*x^2) + (-30*x - 2*E^4*x - 10*x^2)*Log[x] - x*Log[x]^2)/(3*E^8*x + E^4*(120*x + 30*x^2) + (120*x + 6*E^4*x + 30*x^2)*Log[x] + 3*x*Log[x]^2),x]","\frac{1}{3} \left(-x-\log \left(\log (x)+e^4\right)+\log \left(10 x+\log (x)+e^4+40\right)\right)","\frac{1}{3} \left(-x+\log \left(-\frac{4 (5 (x+3)+5)}{\log (x)+e^4}-2\right)-5\right)",1,"(-x - Log[E^4 + Log[x]] + Log[40 + E^4 + 10*x + Log[x]])/3","A",1
1323,1,33,28,0.1776142,"\int \frac{-2 x-7 x^2-9 x^3+27 x^4-9 x^5+e^3 \left(6 x^2-6 x^3\right)+\left(-2+6 e^3 x+9 x^3\right) \log (x)}{9 x^4-9 x^5+9 x^3 \log (x)} \, dx","Integrate[(-2*x - 7*x^2 - 9*x^3 + 27*x^4 - 9*x^5 + E^3*(6*x^2 - 6*x^3) + (-2 + 6*E^3*x + 9*x^3)*Log[x])/(9*x^4 - 9*x^5 + 9*x^3*Log[x]),x]","\frac{1}{9} \left(\frac{1}{x^2}-9 \log \left(x^2-x-\log (x)\right)+9 x-\frac{6 e^3}{x}\right)","-\log \left(-x^2+x+\log (x)\right)+\left(e^3-\frac{1}{3 x}\right)^2+x+2",1,"(x^(-2) - (6*E^3)/x + 9*x - 9*Log[-x + x^2 - Log[x]])/9","A",1
1324,1,26,27,0.1939671,"\int \frac{15+15 x+2 x^2+6 x^3+x^7-5 x^8+3 x^9+\left(4 x^7-3 x^8\right) \log (x)}{-5 x-2 x^3-x^9+x^8 \log (x)} \, dx","Integrate[(15 + 15*x + 2*x^2 + 6*x^3 + x^7 - 5*x^8 + 3*x^9 + (4*x^7 - 3*x^8)*Log[x])/(-5*x - 2*x^3 - x^9 + x^8*Log[x]),x]","\log \left(x^8-x^7 \log (x)+2 x^2+5\right)-3 x-3 \log (x)","\log \left(\frac{-\left(x^5 (\log (x)-x)\right)+\frac{5}{x^2}+2}{x}\right)-3 x",1,"-3*x - 3*Log[x] + Log[5 + 2*x^2 + x^8 - x^7*Log[x]]","A",1
1325,1,52,21,0.0337826,"\int \frac{e^{\frac{2 (1+i \pi +\log (-3+2 \log (5)))}{x}} (-2-2 (i \pi +\log (-3+2 \log (5))))}{x^2} \, dx","Integrate[(E^((2*(1 + I*Pi + Log[-3 + 2*Log[5]]))/x)*(-2 - 2*(I*Pi + Log[-3 + 2*Log[5]])))/x^2,x]","-\frac{(-2 (1+\log (\log (25)-3))-2 i \pi ) e^{\frac{2 (1+i \pi +\log (\log (25)-3))}{x}}}{2 (1+i \pi +\log (\log (25)-3))}","e^{\frac{2 (1+i \pi +\log (2 \log (5)-3))}{x}}",1,"-1/2*(E^((2*(1 + I*Pi + Log[-3 + Log[25]]))/x)*((-2*I)*Pi - 2*(1 + Log[-3 + Log[25]])))/(1 + I*Pi + Log[-3 + Log[25]])","B",1
1326,1,25,25,0.4265326,"\int \frac{2 e^x x+2 x^3+e^{\left(e^x+x^2\right)^{\frac{x+\log (x)}{x}}} \left(e^x+x^2\right)^{\frac{x+\log (x)}{x}} \left(e^x x^2+2 x^3+\left(e^x x+2 x^2\right) \log (x)+\left(e^x+x^2+\left(-e^x-x^2\right) \log (x)\right) \log \left(e^x+x^2\right)\right)}{-e^x x^2-x^4+e^{\left(e^x+x^2\right)^{\frac{x+\log (x)}{x}}} \left(e^x x^2+x^4\right)+\left(e^x x^2+x^4\right) \log \left(x^2\right)} \, dx","Integrate[(2*E^x*x + 2*x^3 + E^(E^x + x^2)^((x + Log[x])/x)*(E^x + x^2)^((x + Log[x])/x)*(E^x*x^2 + 2*x^3 + (E^x*x + 2*x^2)*Log[x] + (E^x + x^2 + (-E^x - x^2)*Log[x])*Log[E^x + x^2]))/(-(E^x*x^2) - x^4 + E^(E^x + x^2)^((x + Log[x])/x)*(E^x*x^2 + x^4) + (E^x*x^2 + x^4)*Log[x^2]),x]","\log \left(\log \left(x^2\right)+e^{\left(x^2+e^x\right)^{\frac{x+\log (x)}{x}}}-1\right)","\log \left(\log \left(x^2\right)+e^{\left(x^2+e^x\right)^{\frac{x+\log (x)}{x}}}-1\right)",1,"Log[-1 + E^(E^x + x^2)^((x + Log[x])/x) + Log[x^2]]","A",1
1327,1,46,26,2.0796019,"\int \left(e^{2 e^{2 x} \log ^2\left(\frac{2}{x}\right)} \left(-10 e^{10}+40 e^{10+2 x} \log \left(\frac{2}{x}\right)-40 e^{10+2 x} x \log ^2\left(\frac{2}{x}\right)\right)+e^{4 e^{2 x} \log ^2\left(\frac{2}{x}\right)} \left(2 e^{20} x-8 e^{20+2 x} x \log \left(\frac{2}{x}\right)+8 e^{20+2 x} x^2 \log ^2\left(\frac{2}{x}\right)\right)\right) \, dx","Integrate[E^(2*E^(2*x)*Log[2/x]^2)*(-10*E^10 + 40*E^(10 + 2*x)*Log[2/x] - 40*E^(10 + 2*x)*x*Log[2/x]^2) + E^(4*E^(2*x)*Log[2/x]^2)*(2*E^20*x - 8*E^(20 + 2*x)*x*Log[2/x] + 8*E^(20 + 2*x)*x^2*Log[2/x]^2),x]","x e^{2 \left(e^{2 x} \log ^2\left(\frac{2}{x}\right)+5\right)} \left(x e^{2 \left(e^{2 x} \log ^2\left(\frac{2}{x}\right)+5\right)}-10\right)","\left(5-x e^{2 e^{2 x} \log ^2\left(\frac{2}{x}\right)+10}\right)^2",1,"E^(2*(5 + E^(2*x)*Log[2/x]^2))*x*(-10 + E^(2*(5 + E^(2*x)*Log[2/x]^2))*x)","A",1
1328,1,17,27,0.0736936,"\int \frac{-20+360 x-270 x^2+15 x \log (x)}{-18 x^2+x \log (x)} \, dx","Integrate[(-20 + 360*x - 270*x^2 + 15*x*Log[x])/(-18*x^2 + x*Log[x]),x]","5 (3 x-4 \log (18 x-\log (x)))","5 \left(x-2 \left(-x+\log \left(\left(\frac{\log (x)}{4}-\frac{9 x}{2}\right)^2\right)+5\right)-4\right)",1,"5*(3*x - 4*Log[18*x - Log[x]])","A",1
1329,1,29,24,2.3247942,"\int \frac{e^{2+x} \left(1-2 x+x^2\right)+e^{\frac{-5+4 x-x^2+x^3}{-1+x}} \left(1-2 x+x^2\right)+\left(e^{2+x} \left(x-2 x^2+x^3\right)+e^{\frac{-5+4 x-x^2+x^3}{-1+x}} \left(x+2 x^2-4 x^3+2 x^4\right)\right) \log (x)}{\left(e^{2+x} \left(x-2 x^2+x^3\right)+e^{\frac{-5+4 x-x^2+x^3}{-1+x}} \left(x-2 x^2+x^3\right)\right) \log (x)} \, dx","Integrate[(E^(2 + x)*(1 - 2*x + x^2) + E^((-5 + 4*x - x^2 + x^3)/(-1 + x))*(1 - 2*x + x^2) + (E^(2 + x)*(x - 2*x^2 + x^3) + E^((-5 + 4*x - x^2 + x^3)/(-1 + x))*(x + 2*x^2 - 4*x^3 + 2*x^4))*Log[x])/((E^(2 + x)*(x - 2*x^2 + x^3) + E^((-5 + 4*x - x^2 + x^3)/(-1 + x))*(x - 2*x^2 + x^3))*Log[x]),x]","\log \left(e^{x^2+2}+e^{x+\frac{1}{x-1}}\right)-\frac{1}{x-1}+\log (\log (x))","\log \left(\left(e^{x^2+\frac{1}{1-x}+4}+e^{x+2}\right) \log (x)\right)",1,"-(-1 + x)^(-1) + Log[E^((-1 + x)^(-1) + x) + E^(2 + x^2)] + Log[Log[x]]","A",1
1330,1,22,22,0.032794,"\int \frac{1}{16} e^{-16-8 x-x^2} \left(15 e^{16+8 x+x^2}+40 x-160 x^2-40 x^3\right) \, dx","Integrate[(E^(-16 - 8*x - x^2)*(15*E^(16 + 8*x + x^2) + 40*x - 160*x^2 - 40*x^3))/16,x]","\frac{5}{16} \left(4 e^{-(x+4)^2} x^2+3 x\right)","\frac{5}{4} e^{-(x+4)^2} x^2+\frac{15 x}{16}",1,"(5*(3*x + (4*x^2)/E^(4 + x)^2))/16","A",1
1331,1,43,29,0.1226805,"\int \frac{100+40 x+4 x^2+\left(-50-40 x-6 x^2\right) \log (x)+\left(10 x+2 x^2\right) \log ^2(x)-4 x \log ^3(x)+(-4+2 x) \log ^4(x)+2 \log ^5(x)+\left((-100-20 x) \log (x)-20 \log ^3(x)\right) \log (-2+\log (x))+\left(-200-40 x+(100+40 x) \log (x)-10 x \log ^2(x)\right) \log ^2(-2+\log (x))+100 \log (x) \log ^3(-2+\log (x))+(100-50 \log (x)) \log ^4(-2+\log (x))}{-2 x \log ^3(x)+x \log ^4(x)} \, dx","Integrate[(100 + 40*x + 4*x^2 + (-50 - 40*x - 6*x^2)*Log[x] + (10*x + 2*x^2)*Log[x]^2 - 4*x*Log[x]^3 + (-4 + 2*x)*Log[x]^4 + 2*Log[x]^5 + ((-100 - 20*x)*Log[x] - 20*Log[x]^3)*Log[-2 + Log[x]] + (-200 - 40*x + (100 + 40*x)*Log[x] - 10*x*Log[x]^2)*Log[-2 + Log[x]]^2 + 100*Log[x]*Log[-2 + Log[x]]^3 + (100 - 50*Log[x])*Log[-2 + Log[x]]^4)/(-2*x*Log[x]^3 + x*Log[x]^4),x]","2 \left(x+\frac{\log ^2(x)}{2}-5 \log ^2(\log (x)-2)+\frac{\left(x-5 \log ^2(\log (x)-2)+5\right)^2}{2 \log ^2(x)}\right)","\left(\frac{x+\frac{5 \left(x-x \log ^2(\log (x)-2)\right)}{x}}{\log (x)}+\log (x)\right)^2",1,"2*(x + Log[x]^2/2 - 5*Log[-2 + Log[x]]^2 + (5 + x - 5*Log[-2 + Log[x]]^2)^2/(2*Log[x]^2))","A",1
1332,1,26,27,0.1502455,"\int \frac{16+8 x+2 x^4-2 x^5+\left(16+16 x^3-16 x^4\right) \log (x)+\left(32 x^2-32 x^3\right) \log ^2(x)}{x^4+8 x^3 \log (x)+16 x^2 \log ^2(x)} \, dx","Integrate[(16 + 8*x + 2*x^4 - 2*x^5 + (16 + 16*x^3 - 16*x^4)*Log[x] + (32*x^2 - 32*x^3)*Log[x]^2)/(x^4 + 8*x^3*Log[x] + 16*x^2*Log[x]^2),x]","-2 \left(\frac{x^2}{2}-x+\frac{2}{x (x+4 \log (x))}\right)","-x^2+2 x-\frac{4}{x (x+4 \log (x))}+4-\log (4)",1,"-2*(-x + x^2/2 + 2/(x*(x + 4*Log[x])))","A",1
1333,1,115,27,0.099189,"\int \frac{729+27 x-972 x^3+270 x^6-28 x^9+x^{12}+e \left(81-2187 x^2+729 x^5-81 x^8+3 x^{11}\right)+\left(729-891 x^3+171 x^6-9 x^9+e \left(-2187 x^2+486 x^5-27 x^8\right)\right) \log \left(\frac{1}{3} (3 e+x)\right)+\left(243-270 x^3+27 x^6+e \left(-729 x^2+81 x^5\right)\right) \log ^2\left(\frac{1}{3} (3 e+x)\right)+\left(27-81 e x^2-27 x^3\right) \log ^3\left(\frac{1}{3} (3 e+x)\right)}{81 e+27 x} \, dx","Integrate[(729 + 27*x - 972*x^3 + 270*x^6 - 28*x^9 + x^12 + E*(81 - 2187*x^2 + 729*x^5 - 81*x^8 + 3*x^11) + (729 - 891*x^3 + 171*x^6 - 9*x^9 + E*(-2187*x^2 + 486*x^5 - 27*x^8))*Log[(3*E + x)/3] + (243 - 270*x^3 + 27*x^6 + E*(-729*x^2 + 81*x^5))*Log[(3*E + x)/3]^2 + (27 - 81*E*x^2 - 27*x^3)*Log[(3*E + x)/3]^3)/(81*E + 27*x),x]","\frac{1}{27} \left(\frac{x^{12}}{12}-3 x^9+\frac{81 x^6}{2}-243 x^3-9 \left(x^3-9\right) \log ^3\left(\frac{x}{3}+e\right)+\frac{9}{2} \left(x^3-9\right)^2 \log ^2\left(\frac{x}{3}+e\right)-\left(x^6-27 x^3+243\right) x^3 \log \left(\frac{x}{3}+e\right)+27 x+\frac{27}{4} \log ^4\left(\frac{x}{3}+e\right)+729 \log (x+3 e)\right)","\frac{1}{4} \left(\frac{x^3}{3}-\log \left(\frac{x}{3}+e\right)-3\right)^4+x",1,"(27*x - 243*x^3 + (81*x^6)/2 - 3*x^9 + x^12/12 - x^3*(243 - 27*x^3 + x^6)*Log[E + x/3] + (9*(-9 + x^3)^2*Log[E + x/3]^2)/2 - 9*(-9 + x^3)*Log[E + x/3]^3 + (27*Log[E + x/3]^4)/4 + 729*Log[3*E + x])/27","B",1
1334,1,27,24,0.3040313,"\int \frac{132-25 x^2+e^{-10+4 x} x^2+x^4+e^{-5+2 x} x \left(24+2 x-2 x^2\right)}{144-24 x^2+e^{-10+4 x} x^2+x^4+e^{-5+2 x} x \left(24-2 x^2\right)} \, dx","Integrate[(132 - 25*x^2 + E^(-10 + 4*x)*x^2 + x^4 + E^(-5 + 2*x)*x*(24 + 2*x - 2*x^2))/(144 - 24*x^2 + E^(-10 + 4*x)*x^2 + x^4 + E^(-5 + 2*x)*x*(24 - 2*x^2)),x]","\frac{e^5 x}{e^5 \left(x^2-12\right)-e^{2 x} x}+x","-\frac{x}{-x^2+e^{2 x-5} x+12}+x+2",1,"x + (E^5*x)/(-(E^(2*x)*x) + E^5*(-12 + x^2))","A",1
1335,1,31,24,0.2315662,"\int \frac{2 x^2-4 x^3+e \left(-8-2 x^2\right)+e^x \left(e (-4-x)+x^2-2 x^3\right)+\left(2 e+e^{1+x}\right) \log \left(2+e^x\right)}{2 x^2+e^x x^2} \, dx","Integrate[(2*x^2 - 4*x^3 + E*(-8 - 2*x^2) + E^x*(E*(-4 - x) + x^2 - 2*x^3) + (2*E + E^(1 + x))*Log[2 + E^x])/(2*x^2 + E^x*x^2),x]","-x^2-e x+x+\frac{4 e}{x}+\frac{e (x-1) \log \left(e^x+2\right)}{x}","(x-1) \left(\frac{e \left(-x+\log \left(e^x+2\right)-4\right)}{x}-x\right)",1,"(4*E)/x + x - E*x - x^2 + (E*(-1 + x)*Log[2 + E^x])/x","A",1
1336,1,108,24,0.2451981,"\int e^{-2 x} \left(6 x^5-2 x^6+e^x \left(-6 x^2-6 x^3+2 x^4+10 e^{-2+x} x^4+12 x^5-2 x^6\right)+e^{2 x} \left(2+2 x-6 x^2-8 x^3+6 x^5+e^{-4+2 x} \left(4 x^3+2 x^4\right)+e^{-2+x} \left(-4 x-8 x^2-2 x^3+10 x^4+2 x^5\right)\right)\right) \, dx","Integrate[(6*x^5 - 2*x^6 + E^x*(-6*x^2 - 6*x^3 + 2*x^4 + 10*E^(-2 + x)*x^4 + 12*x^5 - 2*x^6) + E^(2*x)*(2 + 2*x - 6*x^2 - 8*x^3 + 6*x^5 + E^(-4 + 2*x)*(4*x^3 + 2*x^4) + E^(-2 + x)*(-4*x - 8*x^2 - 2*x^3 + 10*x^4 + 2*x^5)))/E^(2*x),x]","2 \left(\frac{1}{2} e^{-2 x} x^6+\frac{x^6}{2}+\frac{x^5}{e^2}+\frac{1}{2} e^{2 x-4} x^4-x^4-x^3+\frac{x^2}{2}-e^{-x} \left(-x^6+x^4+x^3\right)+e^x \left(\frac{x^5}{e^2}-\frac{x^3}{e^2}-\frac{x^2}{e^2}\right)+x\right)","\left(-\left(\left(e^{-x} x+x+e^{x-2}\right) x^2\right)+x+1\right)^2",1,"2*(x + x^2/2 - x^3 - x^4 + (E^(-4 + 2*x)*x^4)/2 + x^5/E^2 + x^6/2 + x^6/(2*E^(2*x)) + E^x*(-(x^2/E^2) - x^3/E^2 + x^5/E^2) - (x^3 + x^4 - x^6)/E^x)","B",1
1337,1,40,28,0.4406698,"\int \frac{-14 x-16 x^2-4 x^3+\frac{e^{2 x} \left(-2 e^x-x\right)}{\left(2 e^x+x\right)^2}+e^x \left(-28-32 x-8 x^2\right)+\frac{e^x \left(1+7 x+4 x^2+e^x (16+8 x)\right)}{2 e^x+x}}{16 x+16 x^2+4 x^3+\frac{e^{2 x}}{2 e^x+x}+\frac{e^x \left(e^x (-16-8 x)-8 x-4 x^2\right)}{2 e^x+x}+e^x \left(32+32 x+8 x^2\right)} \, dx","Integrate[(-14*x - 16*x^2 - 4*x^3 + (E^(2*x)*(-2*E^x - x))/(2*E^x + x)^2 + E^x*(-28 - 32*x - 8*x^2) + (E^x*(1 + 7*x + 4*x^2 + E^x*(16 + 8*x)))/(2*E^x + x))/(16*x + 16*x^2 + 4*x^3 + E^(2*x)/(2*E^x + x) + (E^x*(E^x*(-16 - 8*x) - 8*x - 4*x^2))/(2*E^x + x) + E^x*(32 + 32*x + 8*x^2)),x]","\frac{x}{(4 x+7) \left(2 x (x+2)+e^x (4 x+7)\right)}-x-\frac{2}{4 x+7}","-x-\frac{1}{2 x-\frac{e^x}{x+2 e^x}+4}+40",1,"-x - 2/(7 + 4*x) + x/((7 + 4*x)*(2*x*(2 + x) + E^x*(7 + 4*x)))","A",1
1338,1,30,21,0.0239645,"\int \frac{1}{72} \left(-288 x+432 x^2+e^{4 x} (1+4 x)+(288-576 x) \log (x)+144 \log ^2(x)\right) \, dx","Integrate[(-288*x + 432*x^2 + E^(4*x)*(1 + 4*x) + (288 - 576*x)*Log[x] + 144*Log[x]^2)/72,x]","2 x^3-4 x^2 \log (x)+\frac{1}{72} e^{4 x} x+2 x \log ^2(x)","2 x \left(\frac{e^{4 x}}{144}+(\log (x)-x)^2\right)",1,"(E^(4*x)*x)/72 + 2*x^3 - 4*x^2*Log[x] + 2*x*Log[x]^2","A",1
1339,1,15,15,0.0587831,"\int \frac{-e^{-e+e^{-e+x}+x}-2 x}{e^{2 e^{-e+x}}+2 e^{e^{-e+x}} x^2+x^4} \, dx","Integrate[(-E^(-E + E^(-E + x) + x) - 2*x)/(E^(2*E^(-E + x)) + 2*E^E^(-E + x)*x^2 + x^4),x]","\frac{1}{x^2+e^{e^{x-e}}}","\frac{1}{x^2+e^{e^{x-e}}}",1,"(E^E^(-E + x) + x^2)^(-1)","A",1
1340,1,21,23,0.4803999,"\int \frac{162 x+e^{e \left(20 x-20 x^2+5 x^3\right)} \left(x^2+e \left(-20 x^3+40 x^4-15 x^5\right)\right)}{6561+162 e^{e \left(20 x-20 x^2+5 x^3\right)} x+e^{2 e \left(20 x-20 x^2+5 x^3\right)} x^2} \, dx","Integrate[(162*x + E^(E*(20*x - 20*x^2 + 5*x^3))*(x^2 + E*(-20*x^3 + 40*x^4 - 15*x^5)))/(6561 + 162*E^(E*(20*x - 20*x^2 + 5*x^3))*x + E^(2*E*(20*x - 20*x^2 + 5*x^3))*x^2),x]","\frac{x^2}{e^{5 e (x-2)^2 x} x+81}","\frac{x}{e^{5 e (2-x)^2 x}+\frac{81}{x}}",1,"x^2/(81 + E^(5*E*(-2 + x)^2*x)*x)","A",1
1341,1,17,33,0.0123597,"\int \frac{-e^{e^5}-x^2}{e^{e^5} x-x^3} \, dx","Integrate[(-E^E^5 - x^2)/(E^E^5*x - x^3),x]","\log \left(e^{e^5}-x^2\right)-\log (x)","\log \left(\frac{e^{e^5}}{x}-x\right)+e^{\frac{8}{\log (-\log (\log (2)))+i \pi }}",1,"-Log[x] + Log[E^E^5 - x^2]","A",1
1342,1,15,20,0.0090861,"\int \frac{1960+336 x+12 x^2}{196+28 x+x^2} \, dx","Integrate[(1960 + 336*x + 12*x^2)/(196 + 28*x + x^2),x]","4 \left(3 (x+14)+\frac{98}{x+14}\right)","2 x \left(\frac{x}{x+14}+5\right)+\frac{13}{2}-\log (2)",1,"4*(98/(14 + x) + 3*(14 + x))","A",1
1343,1,16,16,0.051551,"\int \frac{1}{128} e^{-2 x} \left(x \log (x)+\left(x-x^2\right) \log ^2(x)\right) \, dx","Integrate[(x*Log[x] + (x - x^2)*Log[x]^2)/(128*E^(2*x)),x]","\frac{1}{256} e^{-2 x} x^2 \log ^2(x)","\frac{1}{256} e^{-2 x} x^2 \log ^2(x)",1,"(x^2*Log[x]^2)/(256*E^(2*x))","A",1
1344,1,17,17,0.138617,"\int \frac{1+3 x+x^2-x \log (x)}{-4 x+5 e^x x-x^2+x \log (x)} \, dx","Integrate[(1 + 3*x + x^2 - x*Log[x])/(-4*x + 5*E^x*x - x^2 + x*Log[x]),x]","\log \left(x-5 e^x-\log (x)+4\right)-x","\log \left(-x+5 e^x+\log (x)-4\right)-x",1,"-x + Log[4 - 5*E^x + x - Log[x]]","A",1
1345,1,34,30,0.0963632,"\int \frac{-2+2 x+2 x^2-6 x^3+4 x^2 \log (4)+\left(x-3 x^3+2 x^2 \log (4)\right) \log \left(x^2\right)+\left(4 x^2+2 x^2 \log \left(x^2\right)\right) \log \left(2+\log \left(x^2\right)\right)}{2 x^2-2 x^4+2 x^3 \log (4)+\left(x^2-x^4+x^3 \log (4)\right) \log \left(x^2\right)+\left(-2 x+2 x^3+\left(-x+x^3\right) \log \left(x^2\right)\right) \log \left(2+\log \left(x^2\right)\right)} \, dx","Integrate[(-2 + 2*x + 2*x^2 - 6*x^3 + 4*x^2*Log[4] + (x - 3*x^3 + 2*x^2*Log[4])*Log[x^2] + (4*x^2 + 2*x^2*Log[x^2])*Log[2 + Log[x^2]])/(2*x^2 - 2*x^4 + 2*x^3*Log[4] + (x^2 - x^4 + x^3*Log[4])*Log[x^2] + (-2*x + 2*x^3 + (-x + x^3)*Log[x^2])*Log[2 + Log[x^2]]),x]","\log \left(x^3-x^2 \log \left(\log \left(x^2\right)+2\right)-x^2 \log (4)+\log \left(\log \left(x^2\right)+2\right)-x\right)","\log \left(x^2 \log (4)+\frac{\left(x-x^3\right) \left(x-\log \left(\log \left(x^2\right)+2\right)\right)}{x}\right)",1,"Log[-x + x^3 - x^2*Log[4] + Log[2 + Log[x^2]] - x^2*Log[2 + Log[x^2]]]","A",1
1346,1,20,24,0.1869198,"\int \frac{-15+12 e^{-5+x}-24 x}{-16+4 e^{-5+x}-5 x-4 x^2} \, dx","Integrate[(-15 + 12*E^(-5 + x) - 24*x)/(-16 + 4*E^(-5 + x) - 5*x - 4*x^2),x]","3 \log \left(-4 x^2-5 x+4 e^{x-5}-16\right)","3 \log \left(\frac{2}{3} \left(-x^2-\frac{5 x}{4}+e^{x-5}-4\right)\right)",1,"3*Log[-16 + 4*E^(-5 + x) - 5*x - 4*x^2]","A",1
1347,1,25,28,0.0184173,"\int \frac{1}{8} \left(-16+3 x^2+e^{2/x} (-8+8 x)\right) \, dx","Integrate[(-16 + 3*x^2 + E^(2/x)*(-8 + 8*x))/8,x]","\frac{x^3}{8}+\frac{1}{2} e^{2/x} x^2-2 x","\frac{1}{2} \left(\frac{1}{4} \left(x+4 e^{2/x}\right) x^2+3\right)-2 x",1,"-2*x + (E^(2/x)*x^2)/2 + x^3/8","A",1
1348,1,55,38,0.1857136,"\int \frac{15 e^{4 e^x}+540 e^{4 x}+15 e^{\frac{2 e^{e^x}}{5}+4 x}+e^{2 e^x} \left(60 e^{2 x}+120 e^{3 x}\right)+e^{\frac{e^{e^x}}{5}} \left(-180 e^{4 x}-30 e^{2 e^x+2 x}-12 e^{e^x+5 x}\right)}{5 e^{4 e^x} x^2+5 e^{\frac{2 e^{e^x}}{5}+4 x} x^2+e^{2 e^x+2 x} \left(-40 x+60 x^2\right)+e^{4 x} \left(80-240 x+180 x^2\right)+e^{\frac{e^{e^x}}{5}} \left(-10 e^{2 e^x+2 x} x^2+e^{4 x} \left(40 x-60 x^2\right)\right)} \, dx","Integrate[(15*E^(4*E^x) + 540*E^(4*x) + 15*E^((2*E^E^x)/5 + 4*x) + E^(2*E^x)*(60*E^(2*x) + 120*E^(3*x)) + E^(E^E^x/5)*(-180*E^(4*x) - 30*E^(2*E^x + 2*x) - 12*E^(E^x + 5*x)))/(5*E^(4*E^x)*x^2 + 5*E^((2*E^E^x)/5 + 4*x)*x^2 + E^(2*E^x + 2*x)*(-40*x + 60*x^2) + E^(4*x)*(80 - 240*x + 180*x^2) + E^(E^E^x/5)*(-10*E^(2*E^x + 2*x)*x^2 + E^(4*x)*(40*x - 60*x^2))),x]","-\frac{3 \left(1-\frac{4 e^{2 x}}{e^{2 x} (4-6 x)-e^{2 e^x} x+e^{2 x+\frac{e^{e^x}}{5}} x}\right)}{x}","\frac{3}{\frac{4}{-e^{\frac{e^{e^x}}{5}}+e^{2 e^x-2 x}+6}-x}",1,"(-3*(1 - (4*E^(2*x))/(E^(2*x)*(4 - 6*x) - E^(2*E^x)*x + E^(E^E^x/5 + 2*x)*x)))/x","A",1
1349,1,7,9,0.0011686,"\int -5 e^{-x} \, dx","Integrate[-5/E^x,x]","5 e^{-x}","5 e^{-x}-4",1,"5/E^x","A",1
1350,1,699,27,4.4805567,"\int \frac{-1215000+1761750 x^2-972000 x^4+256320 x^6-32256 x^8+1536 x^{10}+e^{4 x} \left(-120 x^4-96 x^5-18 x^6+24 x^7\right)+\left(-1296000+1814400 x^2-977400 x^4+254112 x^6-31872 x^8+1536 x^{10}\right) \log (2)+\left(-518400+699840 x^2-367920 x^4+94356 x^6-11808 x^8+576 x^{10}\right) \log ^2(2)+\left(-92160+119808 x^2-61440 x^4+15552 x^6-1944 x^8+96 x^{10}\right) \log ^3(2)+\left(-6144+7680 x^2-3840 x^4+960 x^6-120 x^8+6 x^{10}\right) \log ^4(2)+e^{3 x} \left(5760 x^3+4320 x^4-864 x^5-2232 x^6-192 x^7+288 x^8+\left(1536 x^3+1152 x^4-192 x^5-576 x^6-48 x^7+72 x^8\right) \log (2)\right)+e^{2 x} \left(-97200 x^2-64800 x^3+45900 x^4+50760 x^5-3168 x^6-13248 x^7-576 x^8+1152 x^9+\left(-51840 x^2-34560 x^3+23040 x^4+26496 x^5-1368 x^6-6768 x^7-288 x^8+576 x^9\right) \log (2)+\left(-6912 x^2-4608 x^3+2880 x^4+3456 x^5-144 x^6-864 x^7-36 x^8+72 x^9\right) \log ^2(2)\right)+e^x \left(648000 x+324000 x^2-550800 x^3-340200 x^4+155520 x^5+133920 x^6-14592 x^7-23424 x^8+1536 x^{10}+\left(518400 x+259200 x^2-423360 x^3-267840 x^4+114912 x^5+103752 x^6-10368 x^7-17856 x^8+1152 x^{10}\right) \log (2)+\left(138240 x+69120 x^2-108288 x^3-70272 x^4+28224 x^5+26784 x^6-2448 x^7-4536 x^8+288 x^{10}\right) \log ^2(2)+\left(12288 x+6144 x^2-9216 x^3-6144 x^4+2304 x^5+2304 x^6-192 x^7-384 x^8+24 x^{10}\right) \log ^3(2)\right)}{-1024+1280 x^2-640 x^4+160 x^6-20 x^8+x^{10}} \, dx","Integrate[(-1215000 + 1761750*x^2 - 972000*x^4 + 256320*x^6 - 32256*x^8 + 1536*x^10 + E^(4*x)*(-120*x^4 - 96*x^5 - 18*x^6 + 24*x^7) + (-1296000 + 1814400*x^2 - 977400*x^4 + 254112*x^6 - 31872*x^8 + 1536*x^10)*Log[2] + (-518400 + 699840*x^2 - 367920*x^4 + 94356*x^6 - 11808*x^8 + 576*x^10)*Log[2]^2 + (-92160 + 119808*x^2 - 61440*x^4 + 15552*x^6 - 1944*x^8 + 96*x^10)*Log[2]^3 + (-6144 + 7680*x^2 - 3840*x^4 + 960*x^6 - 120*x^8 + 6*x^10)*Log[2]^4 + E^(3*x)*(5760*x^3 + 4320*x^4 - 864*x^5 - 2232*x^6 - 192*x^7 + 288*x^8 + (1536*x^3 + 1152*x^4 - 192*x^5 - 576*x^6 - 48*x^7 + 72*x^8)*Log[2]) + E^(2*x)*(-97200*x^2 - 64800*x^3 + 45900*x^4 + 50760*x^5 - 3168*x^6 - 13248*x^7 - 576*x^8 + 1152*x^9 + (-51840*x^2 - 34560*x^3 + 23040*x^4 + 26496*x^5 - 1368*x^6 - 6768*x^7 - 288*x^8 + 576*x^9)*Log[2] + (-6912*x^2 - 4608*x^3 + 2880*x^4 + 3456*x^5 - 144*x^6 - 864*x^7 - 36*x^8 + 72*x^9)*Log[2]^2) + E^x*(648000*x + 324000*x^2 - 550800*x^3 - 340200*x^4 + 155520*x^5 + 133920*x^6 - 14592*x^7 - 23424*x^8 + 1536*x^10 + (518400*x + 259200*x^2 - 423360*x^3 - 267840*x^4 + 114912*x^5 + 103752*x^6 - 10368*x^7 - 17856*x^8 + 1152*x^10)*Log[2] + (138240*x + 69120*x^2 - 108288*x^3 - 70272*x^4 + 28224*x^5 + 26784*x^6 - 2448*x^7 - 4536*x^8 + 288*x^10)*Log[2]^2 + (12288*x + 6144*x^2 - 9216*x^3 - 6144*x^4 + 2304*x^5 + 2304*x^6 - 192*x^7 - 384*x^8 + 24*x^10)*Log[2]^3))/(-1024 + 1280*x^2 - 640*x^4 + 160*x^6 - 20*x^8 + x^10),x]","6 \left(-\frac{12 x (4+\log (2)) (15+\log (16))^3 (87+\log (1048576))}{7 \left(x^2-4\right)^4 (48+\log (4096))}+\frac{x (15+\log (16))^4}{8 \left(x^2-4\right)^4}+\frac{x^9 (4+\log (2))^4}{\left(x^2-4\right)^4}+\frac{3 x^7 (4+\log (2))^3 (15+\log (16)) (84+\log (1048576))}{\left(x^2-4\right)^4 (45+\log (4096))}+\frac{e^{4 x} x^5}{\left(x^2-4\right)^4}-\frac{4 x^5 (4+\log (2))^3 (15+\log (16)) (178+\log (16)+3 \log (4096))}{3 \left(x^2-4\right)^4 (16+\log (16))}+\frac{4 e^{3 x} x^4 \left(x^2 (4+\log (2))-15-4 \log (2)\right)}{\left(x^2-4\right)^4}+\frac{4 e^x x^2 \left(-\left(x^2 (4+\log (2))\right)+15+\log (16)\right)^2 \left(x^4 (4+\log (2))-x^2 (31+\log (256))+4 (15+\log (16))\right)}{\left(x^2-4\right)^5}+\frac{7 (15+\log (16))^4 \left(15 \left(x^2-4\right)^3 \tanh ^{-1}\left(\frac{x}{2}\right)-2 x \left(15 x^4-160 x^2+528\right)\right)}{49152 \left(x^2-4\right)^3}+\frac{x^3 (4+\log (2)) (15+\log (16))^2 (180+\log (16)+3 \log (256)+\log (4096))}{5 \left(x^2-4\right)^4}+\frac{7 (4+\log (2))^3 (15+\log (16)) (84+\log (1048576)) \left(15 \left(x^2-4\right)^4 \tanh ^{-1}\left(\frac{x}{2}\right)-2 x \left(15 x^6+292 x^4-880 x^2+960\right)\right)}{256 \left(x^2-4\right)^4 (45+\log (4096))}+\frac{(4+\log (2)) (15+\log (16))^2 (180+\log (16)+3 \log (256)+\log (4096)) \left(15 \left(x^2-4\right)^4 \tanh ^{-1}\left(\frac{x}{2}\right)-2 x \left(15 x^6-220 x^4+1168 x^2+960\right)\right)}{20480 \left(x^2-4\right)^4}-\frac{3 (4+\log (2))^4 \left(105 \left(x^2-4\right)^4 \tanh ^{-1}\left(\frac{x}{2}\right)+2 x \left(279 x^6-2044 x^4+6160 x^2-6720\right)\right)}{64 \left(x^2-4\right)^4}+\frac{6 e^{2 x} x^3 \left(x^2 (4+\log (2))-15-4 \log (2)\right) \left(x^4 (4+\log (2))-x^2 (31+\log (256))+4 (15+\log (16))\right)}{\left(x^2-4\right)^5}+\frac{(4+\log (2)) (15+\log (16))^3 (87+\log (1048576)) \left(-210 x^7+3080 x^5-16352 x^3+105 \left(x^2-4\right)^4 \tanh ^{-1}\left(\frac{x}{2}\right)+35712 x\right)}{28672 \left(x^2-4\right)^4 (48+\log (4096))}+\frac{5 (4+\log (2))^3 (15+\log (16)) (178+\log (16)+3 \log (4096)) \left(-6 x^7+88 x^5+352 x^3+3 \left(x^2-4\right)^4 \tanh ^{-1}\left(\frac{x}{2}\right)-384 x\right)}{768 \left(x^2-4\right)^4 (16+\log (16))}\right)","6 x \left(-\frac{e^x x+1}{x^2-4}-4-\log (2)\right)^4",1,"6*((E^(4*x)*x^5)/(-4 + x^2)^4 + (x^9*(4 + Log[2])^4)/(-4 + x^2)^4 - (3*(2*x*(-6720 + 6160*x^2 - 2044*x^4 + 279*x^6) + 105*(-4 + x^2)^4*ArcTanh[x/2])*(4 + Log[2])^4)/(64*(-4 + x^2)^4) + (4*E^(3*x)*x^4*(-15 - 4*Log[2] + x^2*(4 + Log[2])))/(-4 + x^2)^4 + (x*(15 + Log[16])^4)/(8*(-4 + x^2)^4) + (7*(-2*x*(528 - 160*x^2 + 15*x^4) + 15*(-4 + x^2)^3*ArcTanh[x/2])*(15 + Log[16])^4)/(49152*(-4 + x^2)^3) + (6*E^(2*x)*x^3*(-15 - 4*Log[2] + x^2*(4 + Log[2]))*(x^4*(4 + Log[2]) + 4*(15 + Log[16]) - x^2*(31 + Log[256])))/(-4 + x^2)^5 + (4*E^x*x^2*(15 - x^2*(4 + Log[2]) + Log[16])^2*(x^4*(4 + Log[2]) + 4*(15 + Log[16]) - x^2*(31 + Log[256])))/(-4 + x^2)^5 + (x^3*(4 + Log[2])*(15 + Log[16])^2*(180 + Log[16] + 3*Log[256] + Log[4096]))/(5*(-4 + x^2)^4) + ((-2*x*(960 + 1168*x^2 - 220*x^4 + 15*x^6) + 15*(-4 + x^2)^4*ArcTanh[x/2])*(4 + Log[2])*(15 + Log[16])^2*(180 + Log[16] + 3*Log[256] + Log[4096]))/(20480*(-4 + x^2)^4) - (4*x^5*(4 + Log[2])^3*(15 + Log[16])*(178 + Log[16] + 3*Log[4096]))/(3*(-4 + x^2)^4*(16 + Log[16])) + (5*(-384*x + 352*x^3 + 88*x^5 - 6*x^7 + 3*(-4 + x^2)^4*ArcTanh[x/2])*(4 + Log[2])^3*(15 + Log[16])*(178 + Log[16] + 3*Log[4096]))/(768*(-4 + x^2)^4*(16 + Log[16])) + (3*x^7*(4 + Log[2])^3*(15 + Log[16])*(84 + Log[1048576]))/((-4 + x^2)^4*(45 + Log[4096])) + (7*(-2*x*(960 - 880*x^2 + 292*x^4 + 15*x^6) + 15*(-4 + x^2)^4*ArcTanh[x/2])*(4 + Log[2])^3*(15 + Log[16])*(84 + Log[1048576]))/(256*(-4 + x^2)^4*(45 + Log[4096])) - (12*x*(4 + Log[2])*(15 + Log[16])^3*(87 + Log[1048576]))/(7*(-4 + x^2)^4*(48 + Log[4096])) + ((35712*x - 16352*x^3 + 3080*x^5 - 210*x^7 + 105*(-4 + x^2)^4*ArcTanh[x/2])*(4 + Log[2])*(15 + Log[16])^3*(87 + Log[1048576]))/(28672*(-4 + x^2)^4*(48 + Log[4096])))","B",0
1351,1,34,25,0.0035664,"\int \frac{e^4 (156-18 x)-8 x+e^2 (-104+24 x)}{e^4} \, dx","Integrate[(E^4*(156 - 18*x) - 8*x + E^2*(-104 + 24*x))/E^4,x]","-\frac{2 \left(3 e^2-2\right) \left(\frac{3 e^2 x^2}{2}-x^2-26 e^2 x\right)}{e^4}","3-\left(4 (6-x)+x+\frac{2 \left(x+e^2\right)}{e^2}\right)^2",1,"(-2*(-2 + 3*E^2)*(-26*E^2*x - x^2 + (3*E^2*x^2)/2))/E^4","A",1
1352,1,13,16,0.008236,"\int \left((-2-x) \log (4)-\log (4) \log \left(e^x x^2\right)\right) \, dx","Integrate[(-2 - x)*Log[4] - Log[4]*Log[E^x*x^2],x]","-x \log (4) \log \left(e^x x^2\right)","-x \log (4) \log \left(e^x x^2\right)+e+5",1,"-(x*Log[4]*Log[E^x*x^2])","A",1
1353,1,23,27,0.0198849,"\int \frac{2 x^3+e^{\left.\frac{3}{2}\right/x} (3+2 x) \log (2) \log ^2(\log (4))}{2 x^3} \, dx","Integrate[(2*x^3 + E^(3/(2*x))*(3 + 2*x)*Log[2]*Log[Log[4]]^2)/(2*x^3),x]","x-\frac{e^{\left.\frac{3}{2}\right/x} \log (2) \log ^2(\log (4))}{x}","x+\frac{\left(x-e^{\left.\frac{3}{2}\right/x}\right) \log (2) \log ^2(\log (4))}{x}-2",1,"x - (E^(3/(2*x))*Log[2]*Log[Log[4]]^2)/x","A",1
1354,0,0,28,1.6805854,"\int \frac{\left(e^5+x^2+20 x^6\right) \log (4)+e^{\frac{4 x}{\log (4)}} \left(16 x^3+4 x^2 \log (4)\right)+e^{\frac{3 x}{\log (4)}} \left(-48 x^4-32 x^3 \log (4)\right)+e^{\frac{2 x}{\log (4)}} \left(48 x^5+72 x^4 \log (4)\right)+e^{\frac{x}{\log (4)}} \left(-16 x^6-64 x^5 \log (4)\right)}{4 e^{\frac{4 x}{\log (4)}} x^3 \log (4)-16 e^{\frac{3 x}{\log (4)}} x^4 \log (4)+24 e^{\frac{2 x}{\log (4)}} x^5 \log (4)-16 e^{\frac{x}{\log (4)}} x^6 \log (4)+\left(-e^5 x+x^3+4 x^7\right) \log (4)} \, dx","Integrate[((E^5 + x^2 + 20*x^6)*Log[4] + E^((4*x)/Log[4])*(16*x^3 + 4*x^2*Log[4]) + E^((3*x)/Log[4])*(-48*x^4 - 32*x^3*Log[4]) + E^((2*x)/Log[4])*(48*x^5 + 72*x^4*Log[4]) + E^(x/Log[4])*(-16*x^6 - 64*x^5*Log[4]))/(4*E^((4*x)/Log[4])*x^3*Log[4] - 16*E^((3*x)/Log[4])*x^4*Log[4] + 24*E^((2*x)/Log[4])*x^5*Log[4] - 16*E^(x/Log[4])*x^6*Log[4] + (-(E^5*x) + x^3 + 4*x^7)*Log[4]),x]","\int \frac{\left(e^5+x^2+20 x^6\right) \log (4)+e^{\frac{4 x}{\log (4)}} \left(16 x^3+4 x^2 \log (4)\right)+e^{\frac{3 x}{\log (4)}} \left(-48 x^4-32 x^3 \log (4)\right)+e^{\frac{2 x}{\log (4)}} \left(48 x^5+72 x^4 \log (4)\right)+e^{\frac{x}{\log (4)}} \left(-16 x^6-64 x^5 \log (4)\right)}{4 e^{\frac{4 x}{\log (4)}} x^3 \log (4)-16 e^{\frac{3 x}{\log (4)}} x^4 \log (4)+24 e^{\frac{2 x}{\log (4)}} x^5 \log (4)-16 e^{\frac{x}{\log (4)}} x^6 \log (4)+\left(-e^5 x+x^3+4 x^7\right) \log (4)} \, dx","\log \left(x-\frac{e^5}{x}+4 x \left(x-e^{\frac{x}{\log (4)}}\right)^4\right)",1,"Integrate[((E^5 + x^2 + 20*x^6)*Log[4] + E^((4*x)/Log[4])*(16*x^3 + 4*x^2*Log[4]) + E^((3*x)/Log[4])*(-48*x^4 - 32*x^3*Log[4]) + E^((2*x)/Log[4])*(48*x^5 + 72*x^4*Log[4]) + E^(x/Log[4])*(-16*x^6 - 64*x^5*Log[4]))/(4*E^((4*x)/Log[4])*x^3*Log[4] - 16*E^((3*x)/Log[4])*x^4*Log[4] + 24*E^((2*x)/Log[4])*x^5*Log[4] - 16*E^(x/Log[4])*x^6*Log[4] + (-(E^5*x) + x^3 + 4*x^7)*Log[4]), x]","F",-1
1355,1,31,24,0.5786178,"\int \frac{\left(25165824-524288 x^2\right) \log ^4(4)-524288 x^2 \log ^4(4) \log (x)+\left(-452984832 x+18874368 x^3-196608 x^5\right) \log ^3(4) \log ^2(x)+\left(75497472 x+6291456 x^3-163840 x^5\right) \log ^3(4) \log ^3(x)+\left(2717908992 x^2-169869312 x^4+3538944 x^6-24576 x^8\right) \log ^2(4) \log ^4(x)+\left(-1358954496 x^2+28311552 x^4+589824 x^6-12288 x^8\right) \log ^2(4) \log ^5(x)+\left(-5435817984 x^3+452984832 x^5-14155776 x^7+196608 x^9-1024 x^{11}\right) \log (4) \log ^6(x)+\left(8153726976 x^3-566231040 x^5+14155776 x^7-147456 x^9+512 x^{11}\right) \log (4) \log ^7(x)+\left(-16307453952 x^4+1698693120 x^6-70778880 x^8+1474560 x^{10}-15360 x^{12}+64 x^{14}\right) \log ^9(x)}{\left(-254803968 x+26542080 x^3-1105920 x^5+23040 x^7-240 x^9+x^{11}\right) \log ^9(x)} \, dx","Integrate[((25165824 - 524288*x^2)*Log[4]^4 - 524288*x^2*Log[4]^4*Log[x] + (-452984832*x + 18874368*x^3 - 196608*x^5)*Log[4]^3*Log[x]^2 + (75497472*x + 6291456*x^3 - 163840*x^5)*Log[4]^3*Log[x]^3 + (2717908992*x^2 - 169869312*x^4 + 3538944*x^6 - 24576*x^8)*Log[4]^2*Log[x]^4 + (-1358954496*x^2 + 28311552*x^4 + 589824*x^6 - 12288*x^8)*Log[4]^2*Log[x]^5 + (-5435817984*x^3 + 452984832*x^5 - 14155776*x^7 + 196608*x^9 - 1024*x^11)*Log[4]*Log[x]^6 + (8153726976*x^3 - 566231040*x^5 + 14155776*x^7 - 147456*x^9 + 512*x^11)*Log[4]*Log[x]^7 + (-16307453952*x^4 + 1698693120*x^6 - 70778880*x^8 + 1474560*x^10 - 15360*x^12 + 64*x^14)*Log[x]^9)/((-254803968*x + 26542080*x^3 - 1105920*x^5 + 23040*x^7 - 240*x^9 + x^11)*Log[x]^9),x]","\frac{16 \left(x \left(x^2-48\right) \log ^2(x)+8 \log (4)\right)^4}{\left(x^2-48\right)^4 \log ^8(x)}","\left(\frac{\log (4)}{\left(\frac{x^2}{16}-3\right) \log ^2(x)}+2 x\right)^4",1,"(16*(8*Log[4] + x*(-48 + x^2)*Log[x]^2)^4)/((-48 + x^2)^4*Log[x]^8)","A",1
1356,1,13,19,0.0064038,"\int \frac{-15-12 x^3}{25 x^2+10 x^5+x^8+\left(10 x+2 x^4\right) \log (5)+\log ^2(5)} \, dx","Integrate[(-15 - 12*x^3)/(25*x^2 + 10*x^5 + x^8 + (10*x + 2*x^4)*Log[5] + Log[5]^2),x]","\frac{3}{x^4+5 x+\log (5)}","\frac{1}{\frac{1}{3} \left(x^4+2 x+\log (5)\right)+x}+1",1,"3/(5*x + x^4 + Log[5])","A",1
1357,1,33,31,0.1961649,"\int \frac{36-288 x-128 x^2+82 x^3+56 x^4+8 x^5+e^{\frac{-15-6 x}{-3+5 x+2 x^2}} \left(9-30 x+13 x^2+20 x^3+4 x^4\right)+e^{\frac{-15-6 x}{-3+5 x+2 x^2}} \left(18-51 x-4 x^2+53 x^3+28 x^4+4 x^5\right) \log (x)}{18 x-60 x^2+26 x^3+40 x^4+8 x^5+e^{\frac{-15-6 x}{-3+5 x+2 x^2}} \left(9 x-30 x^2+13 x^3+20 x^4+4 x^5\right) \log (x)} \, dx","Integrate[(36 - 288*x - 128*x^2 + 82*x^3 + 56*x^4 + 8*x^5 + E^((-15 - 6*x)/(-3 + 5*x + 2*x^2))*(9 - 30*x + 13*x^2 + 20*x^3 + 4*x^4) + E^((-15 - 6*x)/(-3 + 5*x + 2*x^2))*(18 - 51*x - 4*x^2 + 53*x^3 + 28*x^4 + 4*x^5)*Log[x])/(18*x - 60*x^2 + 26*x^3 + 40*x^4 + 8*x^5 + E^((-15 - 6*x)/(-3 + 5*x + 2*x^2))*(9*x - 30*x^2 + 13*x^3 + 20*x^4 + 4*x^5)*Log[x]),x]","\log \left(2 e^{\frac{3 (2 x+5)}{2 x^2+5 x-3}}+\log (x)\right)+x+2 \log (x)","\log \left(x^2 \left(2 e^{-\frac{3}{\frac{3}{2 x+5}-x}}+\log (x)\right)\right)+x",1,"x + 2*Log[x] + Log[2*E^((3*(5 + 2*x))/(-3 + 5*x + 2*x^2)) + Log[x]]","A",1
1358,1,25,20,0.1344715,"\int \frac{24 e^{40-2 x}+x^2+e^{20-x} \left(-8 x+2 x^2\right)}{32 e^{40-2 x}-16 e^{20-x} x+2 x^2} \, dx","Integrate[(24*E^(40 - 2*x) + x^2 + E^(20 - x)*(-8*x + 2*x^2))/(32*E^(40 - 2*x) - 16*E^(20 - x)*x + 2*x^2),x]","\frac{1}{2} \left(x-\frac{2 e^{20} x}{e^x x-4 e^{20}}\right)","\frac{x}{4-e^{x-20} x}+\frac{x}{2}",1,"(x - (2*E^20*x)/(-4*E^20 + E^x*x))/2","A",1
1359,1,18,18,1.0651552,"\int \frac{4^{-x} \left(\frac{4 x^2+x^2 \log (7)+\log (x)}{x^2}\right)^x \left(1-2 \log (x)+\left(4 x^2+x^2 \log (7)+\log (x)\right) \log \left(\frac{4 x^2+x^2 \log (7)+\log (x)}{4 x^2}\right)\right)}{4 x^2+x^2 \log (7)+\log (x)} \, dx","Integrate[(((4*x^2 + x^2*Log[7] + Log[x])/x^2)^x*(1 - 2*Log[x] + (4*x^2 + x^2*Log[7] + Log[x])*Log[(4*x^2 + x^2*Log[7] + Log[x])/(4*x^2)]))/(4^x*(4*x^2 + x^2*Log[7] + Log[x])),x]","4^{-x} \left(\frac{\log (x)}{x^2}+4+\log (7)\right)^x","4^{-x} \left(\frac{\log (x)}{x^2}+4+\log (7)\right)^x",1,"(4 + Log[7] + Log[x]/x^2)^x/4^x","A",1
1360,1,45,27,0.2877381,"\int \frac{27 x^2-27 x^3-45 x^4-17 x^5-2 x^6+e^6 \left(x^2-2 x^3\right)+e^4 \left(9 x^2-15 x^3-6 x^4\right)+e^2 \left(27 x^2-36 x^3-33 x^4-6 x^5\right)+\exp \left(\frac{-125-15 e^4+e^2 (-90-30 x)-90 x-15 x^2}{9 x+e^4 x+6 x^2+x^3+e^2 \left(6 x+2 x^2\right)}\right) \left(375+15 e^6+375 x+135 x^2+15 x^3+e^4 (135+45 x)+e^2 \left(395+270 x+45 x^2\right)\right)}{27 x^2+e^6 x^2+27 x^3+9 x^4+x^5+e^4 \left(9 x^2+3 x^3\right)+e^2 \left(27 x^2+18 x^3+3 x^4\right)} \, dx","Integrate[(27*x^2 - 27*x^3 - 45*x^4 - 17*x^5 - 2*x^6 + E^6*(x^2 - 2*x^3) + E^4*(9*x^2 - 15*x^3 - 6*x^4) + E^2*(27*x^2 - 36*x^3 - 33*x^4 - 6*x^5) + E^((-125 - 15*E^4 + E^2*(-90 - 30*x) - 90*x - 15*x^2)/(9*x + E^4*x + 6*x^2 + x^3 + E^2*(6*x + 2*x^2)))*(375 + 15*E^6 + 375*x + 135*x^2 + 15*x^3 + E^4*(135 + 45*x) + E^2*(395 + 270*x + 45*x^2)))/(27*x^2 + E^6*x^2 + 27*x^3 + 9*x^4 + x^5 + E^4*(9*x^2 + 3*x^3) + E^2*(27*x^2 + 18*x^3 + 3*x^4)),x]","\exp \left(-\frac{5 \left(3 x^2+18 x+6 e^2 (x+3)+3 e^4+25\right)}{x \left(x+e^2+3\right)^2}\right)-x^2+x","-x^2+x+e^{\frac{5 \left(\frac{2}{\left(x+e^2+3\right)^2}-3\right)}{x}}+9",1,"E^((-5*(25 + 3*E^4 + 18*x + 3*x^2 + 6*E^2*(3 + x)))/(x*(3 + E^2 + x)^2)) + x - x^2","A",1
1361,1,35,33,0.131039,"\int \frac{-8+8 x+6 x^2+7 x^3+x^4+\left(-8-10 x+16 x^2+2 x^3\right) \log \left(\frac{4+9 x+x^2}{15 x+5 e^5 x}\right)}{-4 x^2-5 x^3+8 x^4+x^5} \, dx","Integrate[(-8 + 8*x + 6*x^2 + 7*x^3 + x^4 + (-8 - 10*x + 16*x^2 + 2*x^3)*Log[(4 + 9*x + x^2)/(15*x + 5*E^5*x)])/(-4*x^2 - 5*x^3 + 8*x^4 + x^5),x]","\log (1-x)-\frac{2 \log \left(\frac{x^2+9 x+4}{5 \left(3+e^5\right) x}\right)}{x}","\log (x-1)-\frac{2 \log \left(\frac{\frac{1}{5} (x+2)^2+x}{\left(3+e^5\right) x}\right)}{x}",1,"Log[1 - x] - (2*Log[(4 + 9*x + x^2)/(5*(3 + E^5)*x)])/x","A",1
1362,0,0,22,0.4499173,"\int \frac{4 x+8 x^2+(8+8 x) \log (5 x)+\left(-4-4 x+4 x^2-\log (25)+8 x \log (5 x)+4 \log ^2(5 x)\right) \log \left(\frac{1}{4} \left(-4-4 x+4 x^2-\log (25)+8 x \log (5 x)+4 \log ^2(5 x)\right)\right)}{-4-4 x+4 x^2-\log (25)+8 x \log (5 x)+4 \log ^2(5 x)} \, dx","Integrate[(4*x + 8*x^2 + (8 + 8*x)*Log[5*x] + (-4 - 4*x + 4*x^2 - Log[25] + 8*x*Log[5*x] + 4*Log[5*x]^2)*Log[(-4 - 4*x + 4*x^2 - Log[25] + 8*x*Log[5*x] + 4*Log[5*x]^2)/4])/(-4 - 4*x + 4*x^2 - Log[25] + 8*x*Log[5*x] + 4*Log[5*x]^2),x]","\int \frac{4 x+8 x^2+(8+8 x) \log (5 x)+\left(-4-4 x+4 x^2-\log (25)+8 x \log (5 x)+4 \log ^2(5 x)\right) \log \left(\frac{1}{4} \left(-4-4 x+4 x^2-\log (25)+8 x \log (5 x)+4 \log ^2(5 x)\right)\right)}{-4-4 x+4 x^2-\log (25)+8 x \log (5 x)+4 \log ^2(5 x)} \, dx","x \log \left(-x+(x+\log (5 x))^2-1-\frac{\log (25)}{4}\right)",1,"Integrate[(4*x + 8*x^2 + (8 + 8*x)*Log[5*x] + (-4 - 4*x + 4*x^2 - Log[25] + 8*x*Log[5*x] + 4*Log[5*x]^2)*Log[(-4 - 4*x + 4*x^2 - Log[25] + 8*x*Log[5*x] + 4*Log[5*x]^2)/4])/(-4 - 4*x + 4*x^2 - Log[25] + 8*x*Log[5*x] + 4*Log[5*x]^2), x]","F",-1
1363,1,43,26,0.1018395,"\int \left(1-64 e^{-8+8 e^2-32 e^{2 x}+2 x}+4 x^3+e^{-4+4 e^2-16 e^{2 x}} \left(-4 x+64 e^{2 x} x^2\right)\right) \, dx","Integrate[1 - 64*E^(-8 + 8*E^2 - 32*E^(2*x) + 2*x) + 4*x^3 + E^(-4 + 4*E^2 - 16*E^(2*x))*(-4*x + 64*E^(2*x)*x^2),x]","x^4-2 e^{4 \left(-4 e^{2 x}-1+e^2\right)} x^2+x+e^{8 \left(e^2-1\right)-32 e^{2 x}}","\left(x^2-e^{4 \left(-4 e^{2 x}-1+e^2\right)}\right)^2+x",1,"E^(-32*E^(2*x) + 8*(-1 + E^2)) + x - 2*E^(4*(-1 + E^2 - 4*E^(2*x)))*x^2 + x^4","A",1
1364,1,21,24,0.589787,"\int \frac{1}{3} \exp \left(\frac{1}{3} \left(-3 x+24 x^2-4 e^{e^x} x^2+3 \log \left(\frac{5}{4}\right)\right)\right) \left(-12+192 x+e^{e^x} \left(-32 x-16 e^x x^2\right)\right) \, dx","Integrate[(E^((-3*x + 24*x^2 - 4*E^E^x*x^2 + 3*Log[5/4])/3)*(-12 + 192*x + E^E^x*(-32*x - 16*E^x*x^2)))/3,x]","5 e^{-\frac{1}{3} x \left(4 \left(e^{e^x}-6\right) x+3\right)}","5 e^{-4 \left(\frac{e^{e^x}}{3}-2\right) x^2-x}",1,"5/E^((x*(3 + 4*(-6 + E^E^x)*x))/3)","A",1
1365,1,16,20,0.0497079,"\int \frac{-4+6 x+(-4+9 x) \log (x)}{\left(-2 x+3 x^2\right) \log (x)} \, dx","Integrate[(-4 + 6*x + (-4 + 9*x)*Log[x])/((-2*x + 3*x^2)*Log[x]),x]","\log (2-3 x)+2 \log (x)+2 \log (\log (x))","\log \left(\frac{1}{5} e^3 (2-3 x) x^2 \log ^2(x)\right)",1,"Log[2 - 3*x] + 2*Log[x] + 2*Log[Log[x]]","A",1
1366,1,37,24,0.0255649,"\int \frac{8 x^2+e^4 \left(64-32 x+4 x^2\right)}{4 x^4+e^8 \left(256-32 x^2+x^4\right)+e^4 \left(-64 x^2+4 x^4\right)} \, dx","Integrate[(8*x^2 + E^4*(64 - 32*x + 4*x^2))/(4*x^4 + E^8*(256 - 32*x^2 + x^4) + E^4*(-64*x^2 + 4*x^4)),x]","-\frac{4 \left(e^4 (x-4)+2 x\right)}{\left(2+e^4\right) \left(2 x^2+e^4 \left(x^2-16\right)\right)}","\frac{x}{e^4 (x+4)-\frac{2 x^2}{4-x}}",1,"(-4*(E^4*(-4 + x) + 2*x))/((2 + E^4)*(2*x^2 + E^4*(-16 + x^2)))","A",1
1367,1,20,28,0.834555,"\int \frac{-96 x+24 x^2+e^{x^2} (-96+24 x)+\left(-32 x+16 x^2+e^{x^2} \left(8 x-64 x^2+16 x^3\right)\right) \log \left(\frac{1}{x^3}\right)}{16 x^3-8 x^4+x^5+e^{2 x^2} \left(16 x-8 x^2+x^3\right)+e^{x^2} \left(32 x^2-16 x^3+2 x^4\right)} \, dx","Integrate[(-96*x + 24*x^2 + E^x^2*(-96 + 24*x) + (-32*x + 16*x^2 + E^x^2*(8*x - 64*x^2 + 16*x^3))*Log[x^(-3)])/(16*x^3 - 8*x^4 + x^5 + E^(2*x^2)*(16*x - 8*x^2 + x^3) + E^x^2*(32*x^2 - 16*x^3 + 2*x^4)),x]","-\frac{8 \log \left(\frac{1}{x^3}\right)}{(x-4) \left(e^{x^2}+x\right)}","\frac{4 \log \left(\frac{1}{x^3}\right)}{\left(e^{x^2}+x\right) \left(\frac{x+4}{2}-x\right)}",1,"(-8*Log[x^(-3)])/((-4 + x)*(E^x^2 + x))","A",1
1368,1,26,26,0.2139555,"\int \frac{1}{50} \exp \left(-e^2-x+\frac{1}{50} e^{-e^2-x} x^2 \left(5+\frac{50 e^{e^2+x} \log \left(\frac{\log (4)}{x}\right)}{x^2}\right)\right) \left(10-\frac{50 e^{e^2+x}}{x^2}-5 x\right) x \, dx","Integrate[(E^(-E^2 - x + (E^(-E^2 - x)*x^2*(5 + (50*E^(E^2 + x)*Log[Log[4]/x])/x^2))/50)*(10 - (50*E^(E^2 + x))/x^2 - 5*x)*x)/50,x]","\frac{e^{\frac{1}{10} e^{-x-e^2} x^2} \log (4)}{x}","\frac{e^{\frac{1}{10} e^{-x-e^2} x^2} \log (4)}{x}",1,"(E^((E^(-E^2 - x)*x^2)/10)*Log[4])/x","A",1
1369,1,91,29,0.04222,"\int \frac{25000 e^{\frac{25+3 x}{5+x}}-315000 e^{\frac{25+3 x}{5+x}} \log \left(2+e^{\frac{25+3 x}{5+x}}\right)+1318000 e^{\frac{25+3 x}{5+x}} \log ^2\left(2+e^{\frac{25+3 x}{5+x}}\right)-1831200 e^{\frac{25+3 x}{5+x}} \log ^3\left(2+e^{\frac{25+3 x}{5+x}}\right)}{\left(50+20 x+2 x^2+e^{\frac{25+3 x}{5+x}} \left(25+10 x+x^2\right)\right) \log ^5\left(2+e^{\frac{25+3 x}{5+x}}\right)} \, dx","Integrate[(25000*E^((25 + 3*x)/(5 + x)) - 315000*E^((25 + 3*x)/(5 + x))*Log[2 + E^((25 + 3*x)/(5 + x))] + 1318000*E^((25 + 3*x)/(5 + x))*Log[2 + E^((25 + 3*x)/(5 + x))]^2 - 1831200*E^((25 + 3*x)/(5 + x))*Log[2 + E^((25 + 3*x)/(5 + x))]^3)/((50 + 20*x + 2*x^2 + E^((25 + 3*x)/(5 + x))*(25 + 10*x + x^2))*Log[2 + E^((25 + 3*x)/(5 + x))]^5),x]","-200 \left(-\frac{25}{8 \log ^4\left(e^{\frac{3 x+25}{x+5}}+2\right)}+\frac{105}{2 \log ^3\left(e^{\frac{3 x+25}{x+5}}+2\right)}-\frac{659}{2 \log ^2\left(e^{\frac{3 x+25}{x+5}}+2\right)}+\frac{4578}{5 \log \left(e^{\frac{3 x+25}{x+5}}+2\right)}\right)","\left(5-\left(21-\frac{5}{\log \left(e^{5-\frac{2 x}{x+5}}+2\right)}\right)^2\right)^2",1,"-200*(-25/(8*Log[2 + E^((25 + 3*x)/(5 + x))]^4) + 105/(2*Log[2 + E^((25 + 3*x)/(5 + x))]^3) - 659/(2*Log[2 + E^((25 + 3*x)/(5 + x))]^2) + 4578/(5*Log[2 + E^((25 + 3*x)/(5 + x))]))","B",1
1370,1,72,33,0.2622409,"\int \frac{-56 x^2+62 x^4+28 x^5+10 x^6+4 x^7+e^5 \left(-14-28 x-2 x^2-4 x^3\right)+\left(-112 x^2-168 x^3-72 x^4-24 x^5-8 x^6\right) \log (5)+\left(56+112 x+106 x^2+44 x^3+14 x^4+4 x^5\right) \log ^2(5)+\left(56 x^2+48 x^3+22 x^4+18 x^5+6 x^6+e^5 \left(-14-2 x-6 x^2\right)+\left(-112 x-112 x^2-60 x^3-40 x^4-12 x^5\right) \log (5)+\left(56+64 x+38 x^2+22 x^3+6 x^4\right) \log ^2(5)\right) \log \left(-\frac{5 x}{-e^5+4 x^2+4 x^3+x^4+\left(-8 x-8 x^2-2 x^3\right) \log (5)+\left(4+4 x+x^2\right) \log ^2(5)}\right)+\left(-2 e^5 x+8 x^3+8 x^4+2 x^5+\left(-16 x^2-16 x^3-4 x^4\right) \log (5)+\left(8 x+8 x^2+2 x^3\right) \log ^2(5)\right) \log ^2\left(-\frac{5 x}{-e^5+4 x^2+4 x^3+x^4+\left(-8 x-8 x^2-2 x^3\right) \log (5)+\left(4+4 x+x^2\right) \log ^2(5)}\right)}{-e^5+4 x^2+4 x^3+x^4+\left(-8 x-8 x^2-2 x^3\right) \log (5)+\left(4+4 x+x^2\right) \log ^2(5)} \, dx","Integrate[(-56*x^2 + 62*x^4 + 28*x^5 + 10*x^6 + 4*x^7 + E^5*(-14 - 28*x - 2*x^2 - 4*x^3) + (-112*x^2 - 168*x^3 - 72*x^4 - 24*x^5 - 8*x^6)*Log[5] + (56 + 112*x + 106*x^2 + 44*x^3 + 14*x^4 + 4*x^5)*Log[5]^2 + (56*x^2 + 48*x^3 + 22*x^4 + 18*x^5 + 6*x^6 + E^5*(-14 - 2*x - 6*x^2) + (-112*x - 112*x^2 - 60*x^3 - 40*x^4 - 12*x^5)*Log[5] + (56 + 64*x + 38*x^2 + 22*x^3 + 6*x^4)*Log[5]^2)*Log[(-5*x)/(-E^5 + 4*x^2 + 4*x^3 + x^4 + (-8*x - 8*x^2 - 2*x^3)*Log[5] + (4 + 4*x + x^2)*Log[5]^2)] + (-2*E^5*x + 8*x^3 + 8*x^4 + 2*x^5 + (-16*x^2 - 16*x^3 - 4*x^4)*Log[5] + (8*x + 8*x^2 + 2*x^3)*Log[5]^2)*Log[(-5*x)/(-E^5 + 4*x^2 + 4*x^3 + x^4 + (-8*x - 8*x^2 - 2*x^3)*Log[5] + (4 + 4*x + x^2)*Log[5]^2)]^2)/(-E^5 + 4*x^2 + 4*x^3 + x^4 + (-8*x - 8*x^2 - 2*x^3)*Log[5] + (4 + 4*x + x^2)*Log[5]^2),x]","x \left(x^3+2 \left(x^2+7\right) \log \left(-\frac{5 x}{(x+2)^2 (x-\log (5))^2-e^5}\right)+14 x+x \log ^2\left(-\frac{5 x}{(x+2)^2 (x-\log (5))^2-e^5}\right)\right)","\left(x \left(x+\log \left(\frac{5 x}{e^5-(x+2)^2 (x-\log (5))^2}\right)\right)+7\right)^2",1,"x*(14*x + x^3 + 2*(7 + x^2)*Log[(-5*x)/(-E^5 + (2 + x)^2*(x - Log[5])^2)] + x*Log[(-5*x)/(-E^5 + (2 + x)^2*(x - Log[5])^2)]^2)","B",1
1371,1,15,19,0.0659184,"\int \frac{1}{125} e^{-x+x^2} \left(8-10 x+17 x^2-2 x^3\right) \, dx","Integrate[(E^(-x + x^2)*(8 - 10*x + 17*x^2 - 2*x^3))/125,x]","-\frac{1}{125} e^{(x-1) x} (x-8) x","\frac{1}{125} e^{x^2-x} (8-x) x",1,"-1/125*(E^((-1 + x)*x)*(-8 + x)*x)","A",1
1372,1,42,22,0.0238553,"\int \frac{-8 x^2+2 x^3+3 x^4-x^5+(2-x) \log (5)+\left(-8 x^2+4 x^3+9 x^4-4 x^5-2 \log (5)\right) \log (x)}{x^2} \, dx","Integrate[(-8*x^2 + 2*x^3 + 3*x^4 - x^5 + (2 - x)*Log[5] + (-8*x^2 + 4*x^3 + 9*x^4 - 4*x^5 - 2*Log[5])*Log[x])/x^2,x]","x^4 (-\log (x))+3 x^3 \log (x)+2 x^2 \log (x)-8 x \log (x)-\log (5) \log (x)+\frac{2 \log (5) \log (x)}{x}","(x-2) x \left(-x^2-\frac{\log (5)}{x^2}+x+4\right) \log (x)",1,"-8*x*Log[x] + 2*x^2*Log[x] + 3*x^3*Log[x] - x^4*Log[x] - Log[5]*Log[x] + (2*Log[5]*Log[x])/x","A",1
1373,1,32,30,0.2211431,"\int \frac{11+e^{2 x} x^2+e^x \left(-2 x+10 x^2\right)+\left(-11+12 e^x x-e^{2 x} x^2\right) \log \left(\frac{-44 x+4 e^x x^2}{-1+e^x x}\right) \log \left(\log \left(\frac{-44 x+4 e^x x^2}{-1+e^x x}\right)\right)}{\left(55 x^2-60 e^x x^3+5 e^{2 x} x^4\right) \log \left(\frac{-44 x+4 e^x x^2}{-1+e^x x}\right)+\left(-110 x+120 e^x x^2-10 e^{2 x} x^3\right) \log \left(\frac{-44 x+4 e^x x^2}{-1+e^x x}\right) \log \left(\log \left(\frac{-44 x+4 e^x x^2}{-1+e^x x}\right)\right)+\left(55-60 e^x x+5 e^{2 x} x^2\right) \log \left(\frac{-44 x+4 e^x x^2}{-1+e^x x}\right) \log ^2\left(\log \left(\frac{-44 x+4 e^x x^2}{-1+e^x x}\right)\right)} \, dx","Integrate[(11 + E^(2*x)*x^2 + E^x*(-2*x + 10*x^2) + (-11 + 12*E^x*x - E^(2*x)*x^2)*Log[(-44*x + 4*E^x*x^2)/(-1 + E^x*x)]*Log[Log[(-44*x + 4*E^x*x^2)/(-1 + E^x*x)]])/((55*x^2 - 60*E^x*x^3 + 5*E^(2*x)*x^4)*Log[(-44*x + 4*E^x*x^2)/(-1 + E^x*x)] + (-110*x + 120*E^x*x^2 - 10*E^(2*x)*x^3)*Log[(-44*x + 4*E^x*x^2)/(-1 + E^x*x)]*Log[Log[(-44*x + 4*E^x*x^2)/(-1 + E^x*x)]] + (55 - 60*E^x*x + 5*E^(2*x)*x^2)*Log[(-44*x + 4*E^x*x^2)/(-1 + E^x*x)]*Log[Log[(-44*x + 4*E^x*x^2)/(-1 + E^x*x)]]^2),x]","-\frac{x}{5 \left(\log \left(\log \left(\frac{4 x \left(e^x x-11\right)}{e^x x-1}\right)\right)-x\right)}","\frac{x}{5 \left(x-\log \left(\log \left(4 x+\frac{40}{\frac{1}{x}-e^x}\right)\right)\right)}",1,"-1/5*x/(-x + Log[Log[(4*x*(-11 + E^x*x))/(-1 + E^x*x)]])","A",1
1374,1,23,24,0.1597003,"\int \frac{x^2+e^{5+x} \left(4+x^2\right)+\left(-4-4 e^{5+x}-x^3\right) \log (x)+\left(-e^{5+x} x^2+\left(x^2+e^{5+x} x^2\right) \log (x)\right) \log \left(e^{-5-x} \left(-e^{5+x}+\left(1+e^{5+x}\right) \log (x)\right)\right)}{-e^{5+x} x^2+\left(x^2+e^{5+x} x^2\right) \log (x)} \, dx","Integrate[(x^2 + E^(5 + x)*(4 + x^2) + (-4 - 4*E^(5 + x) - x^3)*Log[x] + (-(E^(5 + x)*x^2) + (x^2 + E^(5 + x)*x^2)*Log[x])*Log[E^(-5 - x)*(-E^(5 + x) + (1 + E^(5 + x))*Log[x])])/(-(E^(5 + x)*x^2) + (x^2 + E^(5 + x)*x^2)*Log[x]),x]","\frac{4}{x}+x \log \left(\left(e^{-x-5}+1\right) \log (x)-1\right)","\frac{4}{x}+x \log \left(e^{-x-5} \log (x)+\log (x)-1\right)-1",1,"4/x + x*Log[-1 + (1 + E^(-5 - x))*Log[x]]","A",1
1375,1,40,31,0.6710709,"\int \frac{\exp \left(-8+\exp \left(\exp \left(\frac{4 x^6+e^4 \left(2500 x^3-200 x^6+36 x^7+4 x^9\right)+e^8 \left(390625-62500 x^3+11250 x^4+3750 x^6-900 x^7+81 x^8-100 x^9+18 x^{10}+x^{12}\right)}{e^8 x^8}\right)\right)+\exp \left(\frac{4 x^6+e^4 \left(2500 x^3-200 x^6+36 x^7+4 x^9\right)+e^8 \left(390625-62500 x^3+11250 x^4+3750 x^6-900 x^7+81 x^8-100 x^9+18 x^{10}+x^{12}\right)}{e^8 x^8}\right)+\frac{4 x^6+e^4 \left(2500 x^3-200 x^6+36 x^7+4 x^9\right)+e^8 \left(390625-62500 x^3+11250 x^4+3750 x^6-900 x^7+81 x^8-100 x^9+18 x^{10}+x^{12}\right)}{e^8 x^8}\right) \left(-8 x^6+e^4 \left(-12500 x^3+400 x^6-36 x^7+4 x^9\right)+e^8 \left(-3125000+312500 x^3-45000 x^4-7500 x^6+900 x^7-100 x^9+36 x^{10}+4 x^{12}\right)\right)}{x^9} \, dx","Integrate[(E^(-8 + E^E^((4*x^6 + E^4*(2500*x^3 - 200*x^6 + 36*x^7 + 4*x^9) + E^8*(390625 - 62500*x^3 + 11250*x^4 + 3750*x^6 - 900*x^7 + 81*x^8 - 100*x^9 + 18*x^10 + x^12))/(E^8*x^8)) + E^((4*x^6 + E^4*(2500*x^3 - 200*x^6 + 36*x^7 + 4*x^9) + E^8*(390625 - 62500*x^3 + 11250*x^4 + 3750*x^6 - 900*x^7 + 81*x^8 - 100*x^9 + 18*x^10 + x^12))/(E^8*x^8)) + (4*x^6 + E^4*(2500*x^3 - 200*x^6 + 36*x^7 + 4*x^9) + E^8*(390625 - 62500*x^3 + 11250*x^4 + 3750*x^6 - 900*x^7 + 81*x^8 - 100*x^9 + 18*x^10 + x^12))/(E^8*x^8))*(-8*x^6 + E^4*(-12500*x^3 + 400*x^6 - 36*x^7 + 4*x^9) + E^8*(-3125000 + 312500*x^3 - 45000*x^4 - 7500*x^6 + 900*x^7 - 100*x^9 + 36*x^10 + 4*x^12)))/x^9,x]","\exp \left(\exp \left(\exp \left(\frac{\left(2 x^3+e^4 \left(x^6+9 x^4-50 x^3+625\right)\right)^2}{e^8 x^8}\right)\right)\right)","e^{e^{e^{\left(\left(\frac{25}{x^2}-x\right)^2+\frac{2}{e^4 x}+9\right)^2}}}-2",1,"E^E^E^((2*x^3 + E^4*(625 - 50*x^3 + 9*x^4 + x^6))^2/(E^8*x^8))","A",1
1376,1,12,12,0.0001376,"\int \frac{6 x^5}{\log ^2\left(-20+e^{24}\right)} \, dx","Integrate[(6*x^5)/Log[-20 + E^24]^2,x]","\frac{x^6}{\log ^2\left(e^{24}-20\right)}","\frac{x^6}{\log ^2\left(e^{24}-20\right)}",1,"x^6/Log[-20 + E^24]^2","A",1
1377,1,30,27,0.1856538,"\int \frac{x^2+\exp \left(\frac{-48+12 x^2-12 x^3+e^5 \left(36 x^2+12 x^3\right)}{x}\right) \left(48+12 x^2-24 x^3+e^5 \left(36 x^2+24 x^3\right)\right)}{x^2} \, dx","Integrate[(x^2 + E^((-48 + 12*x^2 - 12*x^3 + E^5*(36*x^2 + 12*x^3))/x)*(48 + 12*x^2 - 24*x^3 + E^5*(36*x^2 + 24*x^3)))/x^2,x]","e^{12 \left(e^5-1\right) x^2+12 \left(1+3 e^5\right) x-\frac{48}{x}}+x","e^{12 \left(-x^2+e^5 (x+3) x+x-\frac{4}{x}\right)}+x-1",1,"E^(-48/x + 12*(1 + 3*E^5)*x + 12*(-1 + E^5)*x^2) + x","A",1
1378,1,33,27,0.174676,"\int \frac{-10+12 x-6 x^2+e^{20+x} \left(-6+12 x-6 x^2\right)+\left(-9+23 x-17 x^2+3 x^3+e^{20+x} \left(3-6 x+3 x^2\right)\right) \log \left(\frac{36-72 x+36 x^2}{81-252 x+250 x^2-84 x^3+9 x^4+e^{40+2 x} \left(9-18 x+9 x^2\right)+e^{20+x} \left(-54+138 x-102 x^2+18 x^3\right)}\right)}{\left(-9+23 x-17 x^2+3 x^3+e^{20+x} \left(3-6 x+3 x^2\right)\right) \log \left(\frac{36-72 x+36 x^2}{81-252 x+250 x^2-84 x^3+9 x^4+e^{40+2 x} \left(9-18 x+9 x^2\right)+e^{20+x} \left(-54+138 x-102 x^2+18 x^3\right)}\right)} \, dx","Integrate[(-10 + 12*x - 6*x^2 + E^(20 + x)*(-6 + 12*x - 6*x^2) + (-9 + 23*x - 17*x^2 + 3*x^3 + E^(20 + x)*(3 - 6*x + 3*x^2))*Log[(36 - 72*x + 36*x^2)/(81 - 252*x + 250*x^2 - 84*x^3 + 9*x^4 + E^(40 + 2*x)*(9 - 18*x + 9*x^2) + E^(20 + x)*(-54 + 138*x - 102*x^2 + 18*x^3))])/((-9 + 23*x - 17*x^2 + 3*x^3 + E^(20 + x)*(3 - 6*x + 3*x^2))*Log[(36 - 72*x + 36*x^2)/(81 - 252*x + 250*x^2 - 84*x^3 + 9*x^4 + E^(40 + 2*x)*(9 - 18*x + 9*x^2) + E^(20 + x)*(-54 + 138*x - 102*x^2 + 18*x^3))]),x]","\log \left(\log \left(\frac{36 (x-1)^2}{\left(3 x^2-14 x+3 e^{x+20} (x-1)+9\right)^2}\right)\right)+x","x+\log \left(\log \left(\frac{4}{\left(x+e^{x+20}+\frac{2}{\frac{3}{x}-3}-3\right)^2}\right)\right)",1,"x + Log[Log[(36*(-1 + x)^2)/(9 + 3*E^(20 + x)*(-1 + x) - 14*x + 3*x^2)^2]]","A",1
1379,1,23,26,0.2441828,"\int \frac{\exp \left(-\frac{1}{-x+\left(-15+9 x-3 \log (4)+e^x (5-3 x+\log (4))\right) \log (x)}\right) \left(-15+8 x-3 \log (4)+e^x (5-3 x+\log (4))+\left(9 x+e^x \left(2 x-3 x^2+x \log (4)\right)\right) \log (x)\right)}{x^3+\left(30 x^2-18 x^3+6 x^2 \log (4)+e^x \left(-10 x^2+6 x^3-2 x^2 \log (4)\right)\right) \log (x)+\left(225 x-270 x^2+81 x^3+\left(90 x-54 x^2\right) \log (4)+9 x \log ^2(4)+e^x \left(-150 x+180 x^2-54 x^3+\left(-60 x+36 x^2\right) \log (4)-6 x \log ^2(4)\right)+e^{2 x} \left(25 x-30 x^2+9 x^3+\left(10 x-6 x^2\right) \log (4)+x \log ^2(4)\right)\right) \log ^2(x)} \, dx","Integrate[(-15 + 8*x - 3*Log[4] + E^x*(5 - 3*x + Log[4]) + (9*x + E^x*(2*x - 3*x^2 + x*Log[4]))*Log[x])/(E^(-x + (-15 + 9*x - 3*Log[4] + E^x*(5 - 3*x + Log[4]))*Log[x])^(-1)*(x^3 + (30*x^2 - 18*x^3 + 6*x^2*Log[4] + E^x*(-10*x^2 + 6*x^3 - 2*x^2*Log[4]))*Log[x] + (225*x - 270*x^2 + 81*x^3 + (90*x - 54*x^2)*Log[4] + 9*x*Log[4]^2 + E^x*(-150*x + 180*x^2 - 54*x^3 + (-60*x + 36*x^2)*Log[4] - 6*x*Log[4]^2) + E^(2*x)*(25*x - 30*x^2 + 9*x^3 + (10*x - 6*x^2)*Log[4] + x*Log[4]^2))*Log[x]^2)),x]","e^{\frac{1}{x+\left(e^x-3\right) (3 x-5-\log (4)) \log (x)}}","e^{\frac{1}{x-\left(3-e^x\right) (3 x-5-\log (4)) \log (x)}}",1,"E^(x + (-3 + E^x)*(-5 + 3*x - Log[4])*Log[x])^(-1)","A",1
1380,1,36,37,0.6369018,"\int \frac{e^{-e^{e^{-x} \left(e^x (-3-x)+x\right)}-x} \left(e^{e^{-x} \left(e^x (-3-x)+x\right)} \left(4 x^2-4 e^x x^2-4 x^3\right)+e^{e^{e^{-x} \left(e^x (-3-x)+x\right)}} \left(e^{2 x} (-1+x)+e^x \left(4-x^2\right)\right)\right)}{x^2} \, dx","Integrate[(E^(-E^((E^x*(-3 - x) + x)/E^x) - x)*(E^((E^x*(-3 - x) + x)/E^x)*(4*x^2 - 4*E^x*x^2 - 4*x^3) + E^E^((E^x*(-3 - x) + x)/E^x)*(E^(2*x)*(-1 + x) + E^x*(4 - x^2))))/x^2,x]","-x-4 e^{-e^{e^{-x} x-x-3}}+\frac{e^x}{x}-\frac{4}{x}","-x-4 e^{-e^{e^{-x} x-x-3}}-\frac{x-e^x+4}{x}",1,"-4/E^E^(-3 - x + x/E^x) - 4/x + E^x/x - x","A",1
1381,1,9,14,0.0033892,"\int -12 e^{-10-x} \, dx","Integrate[-12*E^(-10 - x),x]","12 e^{-x-10}","\frac{4 \left(3 e^{-x}-2\right)}{e^{10}}",1,"12*E^(-10 - x)","A",1
1382,1,56,24,0.1107214,"\int \frac{\exp \left(\frac{2 \left(189 x+198 x^2+111 x^3+30 x^4+3 x^5+e^8 \left(432 x+288 x^2+48 x^3\right)+e^4 \left(216 x+432 x^2+192 x^3+24 x^4\right)\right)}{9+6 x+x^2}\right) \left(1134+1998 x+1998 x^2+942 x^3+210 x^4+18 x^5+e^8 \left(2592+2592 x+864 x^2+96 x^3\right)+e^4 \left(1296+4752 x+3456 x^2+960 x^3+96 x^4\right)\right)}{27+27 x+9 x^2+x^3} \, dx","Integrate[(E^((2*(189*x + 198*x^2 + 111*x^3 + 30*x^4 + 3*x^5 + E^8*(432*x + 288*x^2 + 48*x^3) + E^4*(216*x + 432*x^2 + 192*x^3 + 24*x^4)))/(9 + 6*x + x^2))*(1134 + 1998*x + 1998*x^2 + 942*x^3 + 210*x^4 + 18*x^5 + E^8*(2592 + 2592*x + 864*x^2 + 96*x^3) + E^4*(1296 + 4752*x + 3456*x^2 + 960*x^3 + 96*x^4)))/(27 + 27*x + 9*x^2 + x^3),x]","\exp \left(\frac{6 x \left(x^4+10 x^3+37 x^2+8 e^4 \left(x^3+8 x^2+18 x+9\right)+66 x+16 e^8 (x+3)^2+63\right)}{(x+3)^2}\right)","e^{6 x \left(\left(\frac{x}{x+3}+x+4 e^4+1\right)^2+6\right)}",1,"E^((6*x*(63 + 66*x + 37*x^2 + 10*x^3 + x^4 + 16*E^8*(3 + x)^2 + 8*E^4*(9 + 18*x + 8*x^2 + x^3)))/(3 + x)^2)","B",1
1383,1,30,30,0.9626598,"\int \frac{3-3 x-5 x^2+3 x^3+2 x^4+\left(-3+6 x+3 x^2+6 x^3+6 x^4\right) \log \left(\frac{4 x}{1+x^2}\right)}{54 x^2-108 x^3+36 x^4-36 x^5+6 x^6+72 x^7+24 x^8} \, dx","Integrate[(3 - 3*x - 5*x^2 + 3*x^3 + 2*x^4 + (-3 + 6*x + 3*x^2 + 6*x^3 + 6*x^4)*Log[(4*x)/(1 + x^2)])/(54*x^2 - 108*x^3 + 36*x^4 - 36*x^5 + 6*x^6 + 72*x^7 + 24*x^8),x]","-\frac{\log \left(\frac{4 x}{x^2+1}\right)}{6 x \left(2 x^2+3 x-3\right)}","\frac{\log \left(\frac{4}{x+\frac{1}{x}}\right)}{6 x (-((2 x+4) x)+x+3)}",1,"-1/6*Log[(4*x)/(1 + x^2)]/(x*(-3 + 3*x + 2*x^2))","A",1
1384,1,54,22,0.1263407,"\int \frac{e^{\frac{2}{9 x^2+6 x^3+x^4}} (-12-8 x)+54 x^4-108 x^5-36 x^6+56 x^7+30 x^8+4 x^9+e^{\frac{1}{9 x^2+6 x^3+x^4}} \left(12 x-4 x^2-62 x^3+54 x^4+90 x^5+34 x^6+4 x^7\right)}{27 x^3+27 x^4+9 x^5+x^6} \, dx","Integrate[(E^(2/(9*x^2 + 6*x^3 + x^4))*(-12 - 8*x) + 54*x^4 - 108*x^5 - 36*x^6 + 56*x^7 + 30*x^8 + 4*x^9 + E^(9*x^2 + 6*x^3 + x^4)^(-1)*(12*x - 4*x^2 - 62*x^3 + 54*x^4 + 90*x^5 + 34*x^6 + 4*x^7))/(27*x^3 + 27*x^4 + 9*x^5 + x^6),x]","e^{\left.-\frac{4}{27}\right/x} \left(e^{\frac{1}{27} \left(\frac{3}{x^2}+\frac{2 x}{(x+3)^2}+\frac{9}{(x+3)^2}\right)}+e^{\left.\frac{2}{27}\right/x} (x-1) x\right)^2","\left(-x^2-e^{\frac{1}{x^2 (x+3)^2}}+x\right)^2",1,"(E^((3/x^2 + 9/(3 + x)^2 + (2*x)/(3 + x)^2)/27) + E^(2/(27*x))*(-1 + x)*x)^2/E^(4/(27*x))","B",1
1385,1,31,29,0.0669434,"\int \frac{4+(4-x) \log (4-x)+\left(8 x+6 x^2-2 x^3\right) \log (x)+\left(4 x^2-x^3\right) \log ^2(x)}{-8 x^2+2 x^3} \, dx","Integrate[(4 + (4 - x)*Log[4 - x] + (8*x + 6*x^2 - 2*x^3)*Log[x] + (4*x^2 - x^3)*Log[x]^2)/(-8*x^2 + 2*x^3),x]","\frac{1}{2} \left(\frac{1}{x}-x \log ^2(x)-\log ^2(x)+\frac{\log (4-x)}{x}\right)","\frac{-\left(\left(x^2+x\right) \log ^2(x)\right)-x+\log (4-x)+1}{2 x}",1,"(x^(-1) + Log[4 - x]/x - Log[x]^2 - x*Log[x]^2)/2","A",1
1386,1,18,23,0.1711026,"\int \frac{7 x^2+4 e^{e^{\frac{1+4 x-x^2}{x}}+\frac{1+4 x-x^2}{x}} \left(-2-2 x^2\right)}{x^2} \, dx","Integrate[(7*x^2 + 4*E^(E^((1 + 4*x - x^2)/x) + (1 + 4*x - x^2)/x)*(-2 - 2*x^2))/x^2,x]","7 x+8 e^{e^{-x+\frac{1}{x}+4}}","5 x+2 \left(x+4 e^{e^{-x+\frac{1}{x}+4}}\right)+1",1,"8*E^E^(4 + x^(-1) - x) + 7*x","A",1
1387,1,25,27,0.5227164,"\int \frac{(64-16 x) \log (x)+\left(-64 x+16 x^2\right) \log (x) \log (2 x)+(64-16 x+(64-48 x) \log (x)) \log (2 x) \log \left(\frac{e^x}{\log (2 x)}\right)}{\left(-64 x^2+48 x^3-12 x^4+x^5\right) \log ^2(x) \log (2 x)} \, dx","Integrate[((64 - 16*x)*Log[x] + (-64*x + 16*x^2)*Log[x]*Log[2*x] + (64 - 16*x + (64 - 48*x)*Log[x])*Log[2*x]*Log[E^x/Log[2*x]])/((-64*x^2 + 48*x^3 - 12*x^4 + x^5)*Log[x]^2*Log[2*x]),x]","\frac{16 \log \left(\frac{e^x}{\log (2 x)}\right)}{(x-4)^2 x \log (x)}","\frac{16 \log \left(\frac{e^x}{\log (2 x)}\right)}{(4-x)^2 x \log (x)}",1,"(16*Log[E^x/Log[2*x]])/((-4 + x)^2*x*Log[x])","A",1
1388,0,0,27,0.2058828,"\int \frac{-5 e^x+5 x^2-20 x^3+20 x^4+\left(8 x^2-16 x^3\right) \log (x)+3 x^2 \log ^2(x)}{-125-5 e^x+x^3-4 x^4+4 x^5+\left(2 x^3-4 x^4\right) \log (x)+x^3 \log ^2(x)} \, dx","Integrate[(-5*E^x + 5*x^2 - 20*x^3 + 20*x^4 + (8*x^2 - 16*x^3)*Log[x] + 3*x^2*Log[x]^2)/(-125 - 5*E^x + x^3 - 4*x^4 + 4*x^5 + (2*x^3 - 4*x^4)*Log[x] + x^3*Log[x]^2),x]","\int \frac{-5 e^x+5 x^2-20 x^3+20 x^4+\left(8 x^2-16 x^3\right) \log (x)+3 x^2 \log ^2(x)}{-125-5 e^x+x^3-4 x^4+4 x^5+\left(2 x^3-4 x^4\right) \log (x)+x^3 \log ^2(x)} \, dx","\log \left(e^x-\frac{1}{5} x (x (2 x-\log (x))-x)^2+25\right)",1,"Integrate[(-5*E^x + 5*x^2 - 20*x^3 + 20*x^4 + (8*x^2 - 16*x^3)*Log[x] + 3*x^2*Log[x]^2)/(-125 - 5*E^x + x^3 - 4*x^4 + 4*x^5 + (2*x^3 - 4*x^4)*Log[x] + x^3*Log[x]^2), x]","F",-1
1389,1,22,28,0.7796761,"\int \frac{e^x \left(25+10 x+21 x^2+4 x^3+4 x^4\right)+e^{\frac{e^3+5 x+x^2+2 x^3}{5+x+2 x^2}} \left(25+e^3 (-1-4 x)+10 x+21 x^2+4 x^3+4 x^4\right)}{25+10 x+21 x^2+4 x^3+4 x^4} \, dx","Integrate[(E^x*(25 + 10*x + 21*x^2 + 4*x^3 + 4*x^4) + E^((E^3 + 5*x + x^2 + 2*x^3)/(5 + x + 2*x^2))*(25 + E^3*(-1 - 4*x) + 10*x + 21*x^2 + 4*x^3 + 4*x^4))/(25 + 10*x + 21*x^2 + 4*x^3 + 4*x^4),x]","e^{\frac{e^3}{2 x^2+x+5}+x}+e^x","e^{\frac{e^3}{2 x^2+x+5}+x}+e^x-1-e^5",1,"E^x + E^(x + E^3/(5 + x + 2*x^2))","A",1
1390,1,23,20,0.1087921,"\int \frac{1875-3 e+e^{2 x} (1252-2 e-4 x)}{390625+e^2-2500 x+4 x^2+e (-1250+4 x)} \, dx","Integrate[(1875 - 3*E + E^(2*x)*(1252 - 2*E - 4*x))/(390625 + E^2 - 2500*x + 4*x^2 + E*(-1250 + 4*x)),x]","\frac{2 e^{2 x}+1875-3 e}{-4 x-2 e+1250}","\frac{-3 x-e^{2 x}}{2 x+e-625}",1,"(1875 - 3*E + 2*E^(2*x))/(1250 - 2*E - 4*x)","A",1
1391,1,9,15,0.0004484,"\int \frac{1}{5} \left(1+15 x^2\right) \, dx","Integrate[(1 + 15*x^2)/5,x]","x^3+\frac{x}{5}","x^3+\frac{x}{5}-\frac{\log (3)}{5}",1,"x/5 + x^3","A",1
1392,1,28,29,0.035264,"\int \frac{e^{\frac{1}{4} \left(15-4 e^x+20 x-5 \log (3)\right)} \left(-e^x x \log (4)+(-1+5 x) \log (4)\right)}{x^2} \, dx","Integrate[(E^((15 - 4*E^x + 20*x - 5*Log[3])/4)*(-(E^x*x*Log[4]) + (-1 + 5*x)*Log[4]))/x^2,x]","\frac{e^{5 x-e^x+\frac{15}{4}} \log (4)}{3 \sqrt[4]{3} x}","\frac{\log (4) e^{5 \left(x+1+\frac{1}{4} (-1-\log (3))\right)-e^x}}{x}",1,"(E^(15/4 - E^x + 5*x)*Log[4])/(3*3^(1/4)*x)","A",1
1393,1,20,16,0.010395,"\int \frac{-1-18 x+2 e^2 x-3 x^2}{1-x-9 x^2+e^2 x^2-x^3} \, dx","Integrate[(-1 - 18*x + 2*E^2*x - 3*x^2)/(1 - x - 9*x^2 + E^2*x^2 - x^3),x]","\log \left(-x^3+\left(e^2-9\right) x^2-x+1\right)","\log \left(\left(x-e^2+9\right) x^2+x-1\right)",1,"Log[1 - x + (-9 + E^2)*x^2 - x^3]","A",1
1394,1,25,30,0.3914627,"\int \frac{e^{-e^{9-x}} \left(-40+10 x+e^{9-x} \left(122-80 x+10 x^2\right)+e^{9-x} \left(61-40 x+5 x^2\right) \log \left(61-40 x+5 x^2\right)\right)}{61-40 x+5 x^2} \, dx","Integrate[(-40 + 10*x + E^(9 - x)*(122 - 80*x + 10*x^2) + E^(9 - x)*(61 - 40*x + 5*x^2)*Log[61 - 40*x + 5*x^2])/(E^E^(9 - x)*(61 - 40*x + 5*x^2)),x]","e^{-e^{9-x}} \left(\log \left(5 x^2-40 x+61\right)+2\right)","e^{-e^{9-x}} \left(\log \left(6-5 \left(5-(4-x)^2\right)\right)+2\right)",1,"(2 + Log[61 - 40*x + 5*x^2])/E^E^(9 - x)","A",1
1395,0,0,32,0.5589067,"\int \frac{100-20 x+20 x^2-84 x^3+76 x^4-12 x^5+\left(20+4 x^2-16 x^3+12 x^4\right) \log (x)+e^2 (-10+10 x) \log (5-x+\log (x))+\left(e^2 (25-5 x)+5 e^2 \log (x)\right) \log ^2(5-x+\log (x))}{20 x^2-4 x^3+4 x^2 \log (x)} \, dx","Integrate[(100 - 20*x + 20*x^2 - 84*x^3 + 76*x^4 - 12*x^5 + (20 + 4*x^2 - 16*x^3 + 12*x^4)*Log[x] + E^2*(-10 + 10*x)*Log[5 - x + Log[x]] + (E^2*(25 - 5*x) + 5*E^2*Log[x])*Log[5 - x + Log[x]]^2)/(20*x^2 - 4*x^3 + 4*x^2*Log[x]),x]","\int \frac{100-20 x+20 x^2-84 x^3+76 x^4-12 x^5+\left(20+4 x^2-16 x^3+12 x^4\right) \log (x)+e^2 (-10+10 x) \log (5-x+\log (x))+\left(e^2 (25-5 x)+5 e^2 \log (x)\right) \log ^2(5-x+\log (x))}{20 x^2-4 x^3+4 x^2 \log (x)} \, dx","\frac{\left(x-x^2\right)^2-\frac{5}{4} e^2 \log ^2(-x+\log (x)+5)-5}{x}",1,"Integrate[(100 - 20*x + 20*x^2 - 84*x^3 + 76*x^4 - 12*x^5 + (20 + 4*x^2 - 16*x^3 + 12*x^4)*Log[x] + E^2*(-10 + 10*x)*Log[5 - x + Log[x]] + (E^2*(25 - 5*x) + 5*E^2*Log[x])*Log[5 - x + Log[x]]^2)/(20*x^2 - 4*x^3 + 4*x^2*Log[x]), x]","F",-1
1396,1,26,24,1.6904783,"\int \frac{-2-79 x-39 x^2+\left(2+7 x+6 x^2\right) \log (x)+\left(6 x+3 x^2\right) \log \left(2 x+x^2\right)}{8 x^2+4 x^3+\left(16 x+632 x^2+312 x^3\right) \log (x)+\left(8+628 x+12480 x^2+6084 x^3\right) \log ^2(x)+\left(\left(-48 x^2-24 x^3\right) \log (x)+\left(-48 x-1896 x^2-936 x^3\right) \log ^2(x)\right) \log \left(2 x+x^2\right)+\left(72 x^2+36 x^3\right) \log ^2(x) \log ^2\left(2 x+x^2\right)} \, dx","Integrate[(-2 - 79*x - 39*x^2 + (2 + 7*x + 6*x^2)*Log[x] + (6*x + 3*x^2)*Log[2*x + x^2])/(8*x^2 + 4*x^3 + (16*x + 632*x^2 + 312*x^3)*Log[x] + (8 + 628*x + 12480*x^2 + 6084*x^3)*Log[x]^2 + ((-48*x^2 - 24*x^3)*Log[x] + (-48*x - 1896*x^2 - 936*x^3)*Log[x]^2)*Log[2*x + x^2] + (72*x^2 + 36*x^3)*Log[x]^2*Log[2*x + x^2]^2),x]","\frac{x}{4 (x+\log (x) (39 x-3 x \log (x (x+2))+1))}","\frac{x}{4 (x-3 x \log (x) (\log (x (x+2))-13)+\log (x))}",1,"x/(4*(x + Log[x]*(1 + 39*x - 3*x*Log[x*(2 + x)])))","A",1
1397,-1,0,22,180.0060461,"\int \frac{\exp \left(e^{-2 x} x^2 \left(9+\frac{e^x (-48-18 x)}{x}+\frac{e^{2 x} \left(61+48 x+9 x^2\right)}{x^2}\right)\right) \left(18-18 x+\frac{e^x \left(-48+12 x+18 x^2\right)}{x}+\frac{e^{2 x} \left(48 x+18 x^2\right)}{x^2}\right)}{-\frac{2 e^{2 x}}{x}+\frac{\exp \left(2 x+e^{-2 x} x^2 \left(9+\frac{e^x (-48-18 x)}{x}+\frac{e^{2 x} \left(61+48 x+9 x^2\right)}{x^2}\right)\right)}{x}} \, dx","Integrate[(E^((x^2*(9 + (E^x*(-48 - 18*x))/x + (E^(2*x)*(61 + 48*x + 9*x^2))/x^2))/E^(2*x))*(18 - 18*x + (E^x*(-48 + 12*x + 18*x^2))/x + (E^(2*x)*(48*x + 18*x^2))/x^2))/((-2*E^(2*x))/x + E^(2*x + (x^2*(9 + (E^x*(-48 - 18*x))/x + (E^(2*x)*(61 + 48*x + 9*x^2))/x^2))/E^(2*x))/x),x]","\text{\$Aborted}","\log \left(e^{\left(3 e^{-x} x-3 x-8\right)^2-3}-2\right)",1,"$Aborted","F",-1
1398,1,18,20,0.0220842,"\int \left(2 e^{x^2} x+2^{2 x-2 e^{50} x} \left(-2+2 e^{50}\right) \log (2)\right) \, dx","Integrate[2*E^x^2*x + 2^(2*x - 2*E^50*x)*(-2 + 2*E^50)*Log[2],x]","e^{x^2}-4^{x-e^{50} x}","e^{x^2}-2^{2 \left(1-e^{50}\right) x}",1,"-4^(x - E^50*x) + E^x^2","A",1
1399,1,36,33,0.1321701,"\int \frac{e^{-16+10 x-2 x^2} (7-x) \left(-69+38 x-4 x^2\right)+e^x \left(-7-6 x+x^2\right)}{-63+9 x} \, dx","Integrate[(E^(-16 + 10*x - 2*x^2)*(7 - x)*(-69 + 38*x - 4*x^2) + E^x*(-7 - 6*x + x^2))/(-63 + 9*x),x]","\frac{1}{9} e^{-2 x^2+x-16} \left(e^{2 \left(x^2+8\right)} x-e^{9 x} (x-7)\right)","\frac{1}{9} e^x \left(e^{-x^2-(4-x)^2+x} (7-x)+x\right)",1,"(E^(-16 + x - 2*x^2)*(-(E^(9*x)*(-7 + x)) + E^(2*(8 + x^2))*x))/9","A",1
1400,1,42,36,0.3121905,"\int \frac{68 x^4-68 x^5+17 x^6+e^{-2 x^2+2 x^3} \left(68-68 x+17 x^2\right)+e^{-\frac{x}{-2+x}} \left(-128 x+160 x^2-32 x^3\right)+e^{-x^2+x^3} \left(-136 x^2+136 x^3-34 x^4+e^{-\frac{x}{-2+x}} \left(-32-128 x+320 x^2-224 x^3+48 x^4\right)\right)}{64 x^4-64 x^5+16 x^6+e^{-2 x^2+2 x^3} \left(64-64 x+16 x^2\right)+e^{-x^2+x^3} \left(-128 x^2+128 x^3-32 x^4\right)} \, dx","Integrate[(68*x^4 - 68*x^5 + 17*x^6 + E^(-2*x^2 + 2*x^3)*(68 - 68*x + 17*x^2) + (-128*x + 160*x^2 - 32*x^3)/E^(x/(-2 + x)) + E^(-x^2 + x^3)*(-136*x^2 + 136*x^3 - 34*x^4 + (-32 - 128*x + 320*x^2 - 224*x^3 + 48*x^4)/E^(x/(-2 + x))))/(64*x^4 - 64*x^5 + 16*x^6 + E^(-2*x^2 + 2*x^3)*(64 - 64*x + 16*x^2) + E^(-x^2 + x^3)*(-128*x^2 + 128*x^3 - 32*x^4)),x]","\frac{1}{16} \left(17 x-\frac{16 e^{x^2-\frac{2}{x-2}-1}}{e^{x^3}-e^{x^2} x^2}\right)","\frac{e^{\frac{x}{2-x}}}{x^2-e^{(x-1) x^2}}+\frac{17 x}{16}-2",1,"(17*x - (16*E^(-1 - 2/(-2 + x) + x^2))/(E^x^3 - E^x^2*x^2))/16","A",1
1401,1,35,26,0.0127744,"\int \frac{-2 e^5 x-384 x^2-48 x^3+36 x^2 \log (x)}{3 e^5} \, dx","Integrate[(-2*E^5*x - 384*x^2 - 48*x^3 + 36*x^2*Log[x])/(3*E^5),x]","-\frac{2 \left(6 x^4+66 x^3-6 x^3 \log (x)+\frac{e^5 x^2}{2}\right)}{3 e^5}","3-x \left(\frac{4 x^2 (x-\log (x)+11)}{e^5}+\frac{x}{3}\right)",1,"(-2*((E^5*x^2)/2 + 66*x^3 + 6*x^4 - 6*x^3*Log[x]))/(3*E^5)","A",1
1402,1,39,30,0.2562095,"\int \exp \left(1-2 x+162 e^{2 x} x^2+\exp \left(-2 x+162 e^{2 x} x^2+36 e^{2 x} x^2 \log (x)+2 e^{2 x} x^2 \log ^2(x)\right) x^4+36 e^{2 x} x^2 \log (x)+2 e^{2 x} x^2 \log ^2(x)\right) \left(4 x^3-2 x^4+e^{2 x} \left(360 x^5+324 x^6\right)+e^{2 x} \left(76 x^5+72 x^6\right) \log (x)+e^{2 x} \left(4 x^5+4 x^6\right) \log ^2(x)\right) \, dx","Integrate[E^(1 - 2*x + 162*E^(2*x)*x^2 + E^(-2*x + 162*E^(2*x)*x^2 + 36*E^(2*x)*x^2*Log[x] + 2*E^(2*x)*x^2*Log[x]^2)*x^4 + 36*E^(2*x)*x^2*Log[x] + 2*E^(2*x)*x^2*Log[x]^2)*(4*x^3 - 2*x^4 + E^(2*x)*(360*x^5 + 324*x^6) + E^(2*x)*(76*x^5 + 72*x^6)*Log[x] + E^(2*x)*(4*x^5 + 4*x^6)*Log[x]^2),x]","\exp \left(x^{36 e^{2 x} x^2+4} e^{2 x \left(e^{2 x} x \left(\log ^2(x)+81\right)-1\right)}+1\right)","\exp \left(x^4 e^{2 e^{2 x} x^2 (\log (x)+9)^2-2 x}+1\right)",1,"E^(1 + E^(2*x*(-1 + E^(2*x)*x*(81 + Log[x]^2)))*x^(4 + 36*E^(2*x)*x^2))","A",1
1403,1,68,21,0.0940407,"\int \frac{315-105 x-140 x^2+\left(-420 x+140 x^2+140 x^3\right) \log \left(9-6 x+x^2\right)+\left(105 x^2-35 x^3\right) \log ^2\left(9-6 x+x^2\right)}{-3 x^4+x^5} \, dx","Integrate[(315 - 105*x - 140*x^2 + (-420*x + 140*x^2 + 140*x^3)*Log[9 - 6*x + x^2] + (105*x^2 - 35*x^3)*Log[9 - 6*x + x^2]^2)/(-3*x^4 + x^5),x]","-35 \left(-\frac{1}{x^3}+\frac{2 \log \left((x-3)^2\right)}{x^2}-\frac{\log ^2\left((x-3)^2\right)}{x}+\frac{2}{9} \log \left((x-3)^2\right)-\frac{4}{9} \log (3-x)-\frac{4}{9} \log \left(\frac{x}{3}\right)+\frac{4 \log (x)}{9}\right)","\frac{35 \left(\frac{1}{x}-\log \left((3-x)^2\right)\right)^2}{x}",1,"-35*(-x^(-3) - (4*Log[3 - x])/9 + (2*Log[(-3 + x)^2])/9 + (2*Log[(-3 + x)^2])/x^2 - Log[(-3 + x)^2]^2/x - (4*Log[x/3])/9 + (4*Log[x])/9)","B",1
1404,1,17,17,0.0147641,"\int \frac{-7+\left(-2 x-x^2\right) \log (2)+(1+x) \log (\log (375))}{-7-x^2 \log (2)+x \log (\log (375))} \, dx","Integrate[(-7 + (-2*x - x^2)*Log[2] + (1 + x)*Log[Log[375]])/(-7 - x^2*Log[2] + x*Log[Log[375]]),x]","\log \left(x^2 \log (2)-x \log (\log (375))+7\right)+x","x+\log (x (x \log (2)-\log (\log (375)))+7)",1,"x + Log[7 + x^2*Log[2] - x*Log[Log[375]]]","A",1
1405,1,20,26,0.0060927,"\int \frac{-1-22 x-33 x^2-4 x^3}{x+11 x^2+11 x^3+x^4+\log (2)} \, dx","Integrate[(-1 - 22*x - 33*x^2 - 4*x^3)/(x + 11*x^2 + 11*x^3 + x^4 + Log[2]),x]","-\log \left(x^4+11 x^3+11 x^2+x+\log (2)\right)","\log \left(\frac{2}{x \left((x+10) \left(x^2+x\right)+x+\frac{\log (2)}{x}+1\right)}\right)",1,"-Log[x + 11*x^2 + 11*x^3 + x^4 + Log[2]]","A",1
1406,1,7,8,0.0009316,"\int \frac{1+x+2 x^2}{x} \, dx","Integrate[(1 + x + 2*x^2)/x,x]","x^2+x+\log (x)","x^2+x+\log (x)-1",1,"x + x^2 + Log[x]","A",1
1407,1,46,30,0.282348,"\int \frac{\exp \left(\frac{2 \left(4 x-36 x^2+(3-108 x) \log \left(\log \left(\frac{e^x}{x}\right)\right)\right)}{x+3 \log \left(\log \left(\frac{e^x}{x}\right)\right)}\right) \left(18 x^2-18 x^3+\left(2 x^3-72 x^4\right) \log \left(\frac{e^x}{x}\right)+\left(30 x^2-432 x^3\right) \log \left(\frac{e^x}{x}\right) \log \left(\log \left(\frac{e^x}{x}\right)\right)+\left(18 x-648 x^2\right) \log \left(\frac{e^x}{x}\right) \log ^2\left(\log \left(\frac{e^x}{x}\right)\right)\right)}{x^2 \log \left(\frac{e^x}{x}\right)+6 x \log \left(\frac{e^x}{x}\right) \log \left(\log \left(\frac{e^x}{x}\right)\right)+9 \log \left(\frac{e^x}{x}\right) \log ^2\left(\log \left(\frac{e^x}{x}\right)\right)} \, dx","Integrate[(E^((2*(4*x - 36*x^2 + (3 - 108*x)*Log[Log[E^x/x]]))/(x + 3*Log[Log[E^x/x]]))*(18*x^2 - 18*x^3 + (2*x^3 - 72*x^4)*Log[E^x/x] + (30*x^2 - 432*x^3)*Log[E^x/x]*Log[Log[E^x/x]] + (18*x - 648*x^2)*Log[E^x/x]*Log[Log[E^x/x]]^2))/(x^2*Log[E^x/x] + 6*x*Log[E^x/x]*Log[Log[E^x/x]] + 9*Log[E^x/x]*Log[Log[E^x/x]]^2),x]","x^2 \exp \left(\frac{8 (1-9 x) x+(6-216 x) \log \left(\log \left(\frac{e^x}{x}\right)\right)}{x+3 \log \left(\log \left(\frac{e^x}{x}\right)\right)}\right)","x^2 e^{2-2 x \left(36-\frac{3}{x+3 \log \left(\log \left(\frac{e^x}{x}\right)\right)}\right)}",1,"E^((8*(1 - 9*x)*x + (6 - 216*x)*Log[Log[E^x/x]])/(x + 3*Log[Log[E^x/x]]))*x^2","A",1
1408,1,23,30,0.0964142,"\int \frac{2-4 \log (x)+\left(4-2 x+4 x^2\right) \log (x) \log \left(\frac{\log (x)}{x^2}\right)}{x \log (x) \log \left(\frac{\log (x)}{x^2}\right)} \, dx","Integrate[(2 - 4*Log[x] + (4 - 2*x + 4*x^2)*Log[x]*Log[Log[x]/x^2])/(x*Log[x]*Log[Log[x]/x^2]),x]","2 x^2+2 \log \left(\log \left(\frac{\log (x)}{x^2}\right)\right)-2 x+4 \log (x)","\log \left(9 e^{2 x^2-2 x} x^4 \log ^2(5) \log ^2\left(\frac{\log (x)}{x^2}\right)\right)",1,"-2*x + 2*x^2 + 4*Log[x] + 2*Log[Log[Log[x]/x^2]]","A",1
1409,1,15,15,0.0129526,"\int \frac{(744-48 x) \log (3)}{-256-240 x-48 x^2+4 x^3+\left(-128-56 x+4 x^2\right) \log (-16+x)+(-16+x) \log ^2(-16+x)} \, dx","Integrate[((744 - 48*x)*Log[3])/(-256 - 240*x - 48*x^2 + 4*x^3 + (-128 - 56*x + 4*x^2)*Log[-16 + x] + (-16 + x)*Log[-16 + x]^2),x]","\frac{24 \log (3)}{2 x+\log (x-16)+4}","\frac{24 \log (3)}{2 x+\log (x-16)+4}",1,"(24*Log[3])/(4 + 2*x + Log[-16 + x])","A",1
1410,1,30,28,0.2755188,"\int \frac{-4-6 x-70 x^2+e^x x^2+23 x^3+3 x^4-x^5}{-4 x-37 x^2+15 x^3+2 x^4-x^5+e^x \left(4 x^2+x^3\right)} \, dx","Integrate[(-4 - 6*x - 70*x^2 + E^x*x^2 + 23*x^3 + 3*x^4 - x^5)/(-4*x - 37*x^2 + 15*x^3 + 2*x^4 - x^5 + E^x*(4*x^2 + x^3)),x]","-\log \left(x^3-6 x^2-e^x x+9 x+1\right)+x+\log (x)+\log (x+4)","x+\log \left(\frac{x+4}{-(3-x)^2+e^x-\frac{1}{x}}\right)+2",1,"x + Log[x] + Log[4 + x] - Log[1 + 9*x - E^x*x - 6*x^2 + x^3]","A",1
1411,1,31,32,0.0256081,"\int \frac{-18 e^4+36 (i \pi +\log (4))+e^{e^{\frac{x^2}{9}}+\frac{x^2}{9}} \left(-2 e^4 x+4 x (i \pi +\log (4))\right)}{9 e^{2 e^{\frac{x^2}{9}}}+36 e^{e^{\frac{x^2}{9}}} x+36 x^2} \, dx","Integrate[(-18*E^4 + 36*(I*Pi + Log[4]) + E^(E^(x^2/9) + x^2/9)*(-2*E^4*x + 4*x*(I*Pi + Log[4])))/(9*E^(2*E^(x^2/9)) + 36*E^E^(x^2/9)*x + 36*x^2),x]","\frac{e^4-2 i \pi -2 \log (4)}{e^{e^{\frac{x^2}{9}}}+2 x}","\frac{e^4-2 (\log (4)+i \pi )}{e^{e^{\frac{x^2}{9}}}+2 x}",1,"(E^4 - (2*I)*Pi - 2*Log[4])/(E^E^(x^2/9) + 2*x)","A",1
1412,1,36,27,0.4685083,"\int \frac{-16 x^8+\left(-32 x^7+16 x^8\right) \log (-1+x)+\left(-32 x^4+64 x^5-32 x^6\right) \log ^2(-1+x)+\left(-64 x^3+160 x^4-128 x^5+32 x^6\right) \log ^3(-1+x)}{\left(-1+5 x-10 x^2+10 x^3-5 x^4+x^5\right) \log ^5(-1+x)} \, dx","Integrate[(-16*x^8 + (-32*x^7 + 16*x^8)*Log[-1 + x] + (-32*x^4 + 64*x^5 - 32*x^6)*Log[-1 + x]^2 + (-64*x^3 + 160*x^4 - 128*x^5 + 32*x^6)*Log[-1 + x]^3)/((-1 + 5*x - 10*x^2 + 10*x^3 - 5*x^4 + x^5)*Log[-1 + x]^5),x]","16 \left(\frac{x^8}{4 (x-1)^4 \log ^4(x-1)}+\frac{x^4}{(x-1)^2 \log ^2(x-1)}\right)","\left(\log \left(e^{\frac{2 x^2}{\left(1-\frac{1}{x}\right)^2 \log ^2(x-1)}}\right)+4\right)^2",1,"16*(x^8/(4*(-1 + x)^4*Log[-1 + x]^4) + x^4/((-1 + x)^2*Log[-1 + x]^2))","A",1
1413,1,21,23,0.1177639,"\int \frac{\left(-72+120 x-56 x^2+8 x^3\right) \log \left(\frac{e^x}{x}\right)+\left(36-48 x+12 x^2\right) \log ^2\left(\frac{e^x}{x}\right)}{e^2} \, dx","Integrate[((-72 + 120*x - 56*x^2 + 8*x^3)*Log[E^x/x] + (36 - 48*x + 12*x^2)*Log[E^x/x]^2)/E^2,x]","\frac{4 (x-3)^2 x \log ^2\left(\frac{e^x}{x}\right)}{e^2}","\frac{4 (3-x)^2 x \log ^2\left(\frac{e^x}{x}\right)}{e^2}",1,"(4*(-3 + x)^2*x*Log[E^x/x]^2)/E^2","A",1
1414,1,20,24,0.2637237,"\int \frac{-1+x+10 x^2}{\left(-x-x^2-5 x^3+x \log (2)+x \log (x)\right) \log \left(-\frac{4}{-1-x-5 x^2+\log (2)+\log (x)}\right)} \, dx","Integrate[(-1 + x + 10*x^2)/((-x - x^2 - 5*x^3 + x*Log[2] + x*Log[x])*Log[-4/(-1 - x - 5*x^2 + Log[2] + Log[x])]),x]","\log \left(\log \left(\frac{4}{5 x^2+x-\log (2 x)+1}\right)\right)","\log \left(\log \left(\frac{4}{5 \left(x^2+1\right)+x-\log (x)-4-\log (2)}\right)\right)",1,"Log[Log[4/(1 + x + 5*x^2 - Log[2*x])]]","A",1
1415,1,29,31,0.2268129,"\int \frac{24 x+24 x^2+e^8 \left(x+x^2\right)+e^4 \left(10 x+10 x^2\right)+e^{\frac{5 x^2-\log (1+x)}{x}} \left(6 x^2+5 x^3+(1+x) \log (1+x)\right)}{x+x^2} \, dx","Integrate[(24*x + 24*x^2 + E^8*(x + x^2) + E^4*(10*x + 10*x^2) + E^((5*x^2 - Log[1 + x])/x)*(6*x^2 + 5*x^3 + (1 + x)*Log[1 + x]))/(x + x^2),x]","e^{5 x} x (x+1)^{-1/x}+\left(24+10 e^4+e^8\right) x","-x+x \left(e^{5 x-\frac{\log (x+1)}{x}}+\left(5+e^4\right)^2\right)+\log (2)",1,"(24 + 10*E^4 + E^8)*x + (E^(5*x)*x)/(1 + x)^x^(-1)","A",1
1416,1,19,21,0.0165154,"\int \exp \left(-40+e^{-40+8 x} \left(16 e^5+4 e^{45-8 x}\right)+8 x\right) \left(e^{40-8 x}+128 e^5 x\right) \, dx","Integrate[E^(-40 + E^(-40 + 8*x)*(16*E^5 + 4*E^(45 - 8*x)) + 8*x)*(E^(40 - 8*x) + 128*E^5*x),x]","e^{16 e^{8 x-35}+4 e^5} x","e^{e^5 \left(16 e^{-8 (5-x)}+4\right)} x",1,"E^(4*E^5 + 16*E^(-35 + 8*x))*x","A",1
1417,1,21,22,0.0091046,"\int \frac{1}{9} \left(288 x+2688 x^3+4704 x^5+\left(-1800 x^2-7000 x^4\right) \log (2)+2500 x^3 \log ^2(2)\right) \, dx","Integrate[(288*x + 2688*x^3 + 4704*x^5 + (-1800*x^2 - 7000*x^4)*Log[2] + 2500*x^3*Log[2]^2)/9,x]","\frac{1}{9} x^2 \left(28 x^2-25 x \log (2)+12\right)^2","\left(x^3-\frac{25}{3} x^2 (\log (2)-x)+4 x\right)^2",1,"(x^2*(12 + 28*x^2 - 25*x*Log[2])^2)/9","A",1
1418,1,24,28,0.0533331,"\int \frac{e^{-x-e^{2 x} \left(1-x-x^2\right)^2} \left(e^x \left(2-2 x-2 x^2\right)+e^{3 x} \left(1-x-x^2\right)^2 \left(-6 x^2-2 x^3\right)\right)}{-3 x^3+3 x^4+3 x^5} \, dx","Integrate[(E^(-x - E^(2*x)*(1 - x - x^2)^2)*(E^x*(2 - 2*x - 2*x^2) + E^(3*x)*(1 - x - x^2)^2*(-6*x^2 - 2*x^3)))/(-3*x^3 + 3*x^4 + 3*x^5),x]","\frac{e^{-e^{2 x} \left(x^2+x-1\right)^2}}{3 x^2}","\frac{e^{-e^{2 x} \left(-x^2-x+1\right)^2}}{3 x^2}",1,"1/(3*E^(E^(2*x)*(-1 + x + x^2)^2)*x^2)","A",1
1419,1,23,24,0.0144889,"\int \frac{4 x^2+7 x^3+x^4-x \log (\log (2))+\log ^2(\log (2))}{4 x^3+4 x^4+x^5+\left(4 x^2+2 x^3\right) \log (\log (2))+x \log ^2(\log (2))} \, dx","Integrate[(4*x^2 + 7*x^3 + x^4 - x*Log[Log[2]] + Log[Log[2]]^2)/(4*x^3 + 4*x^4 + x^5 + (4*x^2 + 2*x^3)*Log[Log[2]] + x*Log[Log[2]]^2),x]","\frac{\log (\log (2))-3 x}{x^2+2 x+\log (\log (2))}+\log (x)","\log (x)-\frac{x+5}{x+\frac{\log (\log (2))-x}{x}+3}",1,"Log[x] + (-3*x + Log[Log[2]])/(2*x + x^2 + Log[Log[2]])","A",1
1420,1,16,17,0.0863105,"\int \frac{5 x^2+\left(10 x-10 x^2\right) \log (1-x)+(-5+5 x) \log ^2(1-x)}{(-1+x) \log ^2(1-x)} \, dx","Integrate[(5*x^2 + (10*x - 10*x^2)*Log[1 - x] + (-5 + 5*x)*Log[1 - x]^2)/((-1 + x)*Log[1 - x]^2),x]","5 x \left(1-\frac{x}{\log (1-x)}\right)","5 \left(x-\frac{x^2}{\log (1-x)}\right)",1,"5*x*(1 - x/Log[1 - x])","A",1
1421,1,12,12,0.0087493,"\int \frac{(-16+4 x) \log (3)}{9+\left(32-16 x+2 x^2\right) \log (3)} \, dx","Integrate[((-16 + 4*x)*Log[3])/(9 + (32 - 16*x + 2*x^2)*Log[3]),x]","\log \left(2 (x-4)^2 \log (3)+9\right)","\log \left(2 (x-4)^2 \log (3)+9\right)",1,"Log[9 + 2*(-4 + x)^2*Log[3]]","A",1
1422,1,34,34,0.7101597,"\int \frac{-10 x^3 \log (x) \log ^2(3 x)+e^{\frac{e^{\frac{25}{\log (3 x)}}+x^2}{x}} \left(x^2 \log (x) \log ^2(3 x)+e^{\frac{25}{\log (3 x)}} \left(-25 \log (x)-\log (x) \log ^2(3 x)\right)\right)+\left(-e^{\frac{e^{\frac{25}{\log (3 x)}}+x^2}{x}} x \log ^2(3 x)+5 x^3 \log ^2(3 x)\right) \log \left(\frac{1}{5} \left(e^{\frac{e^{\frac{25}{\log (3 x)}}+x^2}{x}}-5 x^2\right)\right)}{e^{\frac{e^{\frac{25}{\log (3 x)}}+x^2}{x}} x^2 \log ^2(x) \log ^2(3 x)-5 x^4 \log ^2(x) \log ^2(3 x)} \, dx","Integrate[(-10*x^3*Log[x]*Log[3*x]^2 + E^((E^(25/Log[3*x]) + x^2)/x)*(x^2*Log[x]*Log[3*x]^2 + E^(25/Log[3*x])*(-25*Log[x] - Log[x]*Log[3*x]^2)) + (-(E^((E^(25/Log[3*x]) + x^2)/x)*x*Log[3*x]^2) + 5*x^3*Log[3*x]^2)*Log[(E^((E^(25/Log[3*x]) + x^2)/x) - 5*x^2)/5])/(E^((E^(25/Log[3*x]) + x^2)/x)*x^2*Log[x]^2*Log[3*x]^2 - 5*x^4*Log[x]^2*Log[3*x]^2),x]","\frac{\log \left(\frac{1}{5} \left(e^{x+\frac{e^{\frac{25}{\log (3 x)}}}{x}}-5 x^2\right)\right)}{\log (x)}","\frac{\log \left(\frac{1}{5} e^{x+\frac{e^{\frac{25}{\log (3 x)}}}{x}}-x^2\right)}{\log (x)}",1,"Log[(E^(E^(25/Log[3*x])/x + x) - 5*x^2)/5]/Log[x]","A",1
1423,1,15,28,0.002151,"\int \frac{\left(1-2 x^2\right) \log (5)}{4 x^2} \, dx","Integrate[((1 - 2*x^2)*Log[5])/(4*x^2),x]","\frac{1}{4} \left(-2 x-\frac{1}{x}\right) \log (5)","\frac{1}{2} \log (5) \left(-\frac{10-4 x}{20 x}-x+\log (4)-\log (2)\right)",1,"((-x^(-1) - 2*x)*Log[5])/4","A",1
1424,1,21,22,0.050824,"\int \left(-1+e^x \left(8+e^2+x+4 x^3+x^4-\log (2)\right)\right) \, dx","Integrate[-1 + E^x*(8 + E^2 + x + 4*x^3 + x^4 - Log[2]),x]","e^x \left(x^4+x+e^2+7-\log (2)\right)-x","e^x \left(x^4+x+e^2+7-\log (2)\right)-x+2",1,"-x + E^x*(7 + E^2 + x + x^4 - Log[2])","A",1
1425,1,22,24,0.477736,"\int \frac{e^{\frac{e^{2 x}-6 x^2+5 e^{x+x^2} x^2}{x^2}} \left(e^{2 x} (-2+2 x)+e^{x+x^2} \left(5 x^3+10 x^4\right)\right)}{x^3} \, dx","Integrate[(E^((E^(2*x) - 6*x^2 + 5*E^(x + x^2)*x^2)/x^2)*(E^(2*x)*(-2 + 2*x) + E^(x + x^2)*(5*x^3 + 10*x^4)))/x^3,x]","e^{5 e^{x^2+x}+\frac{e^{2 x}}{x^2}-6}","e^{5 e^{x^2+x}+\frac{e^{2 x}}{x^2}-6}+3",1,"E^(-6 + 5*E^(x + x^2) + E^(2*x)/x^2)","A",1
1426,1,21,20,0.0030908,"\int (180+110 x+(30+20 x) \log (x)) \, dx","Integrate[180 + 110*x + (30 + 20*x)*Log[x],x]","50 x^2+10 x^2 \log (x)+150 x+30 x \log (x)","4 \left(\frac{5}{2} x (x+3) (\log (x)+5)-e^3\right)",1,"150*x + 50*x^2 + 30*x*Log[x] + 10*x^2*Log[x]","A",1
1427,1,18,20,0.0040025,"\int \left(7+240 e^{3 x}+192 e^{6 x}\right) \, dx","Integrate[7 + 240*E^(3*x) + 192*E^(6*x),x]","7 x+80 e^{3 x}+32 e^{6 x}","x+2 \left(\left(4 e^{3 x}+5\right)^2+3 x+5\right)",1,"80*E^(3*x) + 32*E^(6*x) + 7*x","A",1
1428,1,150,33,0.4014099,"\int \frac{-12 x^4-24 x^5+12 x^2 \log ^2(3)+e^{\frac{1}{3} (-16+x)} \left(-x^3+3 x^4+6 x^5+2 x^2 \log (3)+\left(-x-3 x^2\right) \log ^2(3)\right)+\left(-36 x^2-48 x^3+48 x \log (3)-12 \log ^2(3)+e^{\frac{1}{3} (-16+x)} \left(9 x^2+12 x^3-12 x \log (3)+3 \log ^2(3)\right)\right) \log \left(-4+e^{\frac{1}{3} (-16+x)}\right)+\left(-24 x+6 e^{\frac{1}{3} (-16+x)} x\right) \log ^2\left(-4+e^{\frac{1}{3} (-16+x)}\right)}{-12 x^4+3 e^{\frac{1}{3} (-16+x)} x^4+\left(-24 x^2+6 e^{\frac{1}{3} (-16+x)} x^2\right) \log \left(-4+e^{\frac{1}{3} (-16+x)}\right)+\left(-12+3 e^{\frac{1}{3} (-16+x)}\right) \log ^2\left(-4+e^{\frac{1}{3} (-16+x)}\right)} \, dx","Integrate[(-12*x^4 - 24*x^5 + 12*x^2*Log[3]^2 + E^((-16 + x)/3)*(-x^3 + 3*x^4 + 6*x^5 + 2*x^2*Log[3] + (-x - 3*x^2)*Log[3]^2) + (-36*x^2 - 48*x^3 + 48*x*Log[3] - 12*Log[3]^2 + E^((-16 + x)/3)*(9*x^2 + 12*x^3 - 12*x*Log[3] + 3*Log[3]^2))*Log[-4 + E^((-16 + x)/3)] + (-24*x + 6*E^((-16 + x)/3)*x)*Log[-4 + E^((-16 + x)/3)]^2)/(-12*x^4 + 3*E^((-16 + x)/3)*x^4 + (-24*x^2 + 6*E^((-16 + x)/3)*x^2)*Log[-4 + E^((-16 + x)/3)] + (-12 + 3*E^((-16 + x)/3))*Log[-4 + E^((-16 + x)/3)]^2),x]","\frac{x \left(-24 e^{16/3} x \left(x^3+x^2-x \log (9)+\log ^2(3)\right)+e^{x/3} \left(6 x^4+7 x^3+x^2-12 x^2 \log (3)+6 x \log ^2(3)-x \log (9)+\log ^2(3)\right)+x \left(e^{x/3} (6 x+1)-24 e^{16/3} x\right) \log \left(e^{\frac{x-16}{3}}-4\right)\right)}{\left(e^{x/3} (6 x+1)-24 e^{16/3} x\right) \left(x^2+\log \left(e^{\frac{x-16}{3}}-4\right)\right)}","x^2+\frac{(x-\log (3))^2}{x+\frac{\log \left(e^{\frac{x-16}{3}}-4\right)}{x}}",1,"(x*(-24*E^(16/3)*x*(x^2 + x^3 + Log[3]^2 - x*Log[9]) + E^(x/3)*(x^2 + 7*x^3 + 6*x^4 - 12*x^2*Log[3] + Log[3]^2 + 6*x*Log[3]^2 - x*Log[9]) + x*(-24*E^(16/3)*x + E^(x/3)*(1 + 6*x))*Log[-4 + E^((-16 + x)/3)]))/((-24*E^(16/3)*x + E^(x/3)*(1 + 6*x))*(x^2 + Log[-4 + E^((-16 + x)/3)]))","B",1
1429,1,19,27,0.0924341,"\int \frac{29+8 e^x x+\left(-4-e^x x\right) \log (x)}{-8 x+x \log (x)} \, dx","Integrate[(29 + 8*E^x*x + (-4 - E^x*x)*Log[x])/(-8*x + x*Log[x]),x]","-e^x-4 \log (x)-3 \log (8-\log (x))","-e^x-\log (x)+3 \log \left(\frac{1}{x \left(\frac{\log (x)}{2}-4\right)}\right)",1,"-E^x - 4*Log[x] - 3*Log[8 - Log[x]]","A",1
1430,1,44,25,0.0051969,"\int \frac{e^{40} \left(841 x+348 x^2-432 x^3-80 x^4+48 x^5\right)}{32-128 e^{20}+128 e^{40}} \, dx","Integrate[(E^40*(841*x + 348*x^2 - 432*x^3 - 80*x^4 + 48*x^5))/(32 - 128*E^20 + 128*E^40),x]","\frac{e^{40} \left(8 x^6-16 x^5-108 x^4+116 x^3+\frac{841 x^2}{2}\right)}{32 \left(1-2 e^{20}\right)^2}","\frac{x^2 \left(-x^2+x+\frac{29}{4}\right)^2}{\left(\frac{2}{e^{20}}-4\right)^2}",1,"(E^40*((841*x^2)/2 + 116*x^3 - 108*x^4 - 16*x^5 + 8*x^6))/(32*(1 - 2*E^20)^2)","A",1
1431,1,30,26,0.1623922,"\int \frac{9 x^2+2 e^3 x^2+e^{2 x} x^2+e^{\frac{2 (1-3 x+x \log (5))}{x}} x^2+6 x^3+x^4+e^x \left(-6 x^2-2 e^3 x^2-2 x^3\right)+e^{\frac{1-3 x+x \log (5)}{x}} \left(2 e^3-6 x^2+2 e^x x^2-2 x^3\right)}{9 x^2+e^{2 x} x^2+e^{\frac{2 (1-3 x+x \log (5))}{x}} x^2+6 x^3+x^4+e^x \left(-6 x^2-2 x^3\right)+e^{\frac{1-3 x+x \log (5)}{x}} \left(-6 x^2+2 e^x x^2-2 x^3\right)} \, dx","Integrate[(9*x^2 + 2*E^3*x^2 + E^(2*x)*x^2 + E^((2*(1 - 3*x + x*Log[5]))/x)*x^2 + 6*x^3 + x^4 + E^x*(-6*x^2 - 2*E^3*x^2 - 2*x^3) + E^((1 - 3*x + x*Log[5])/x)*(2*E^3 - 6*x^2 + 2*E^x*x^2 - 2*x^3))/(9*x^2 + E^(2*x)*x^2 + E^((2*(1 - 3*x + x*Log[5]))/x)*x^2 + 6*x^3 + x^4 + E^x*(-6*x^2 - 2*x^3) + E^((1 - 3*x + x*Log[5])/x)*(-6*x^2 + 2*E^x*x^2 - 2*x^3)),x]","x+\frac{2 e^6}{-e^3 (x+3)+e^{x+3}+5 e^{\frac{1}{x}}}","x-\frac{2 e^3}{x-5 e^{\frac{1}{x}-3}-e^x+3}",1,"x + (2*E^6)/(5*E^x^(-1) + E^(3 + x) - E^3*(3 + x))","A",1
1432,1,45,33,0.1407266,"\int \frac{\exp \left(\frac{30-36 x+7 x^2-x^3+e^{16 x} \left(-45 x+9 x^2\right)}{30-6 x+x^2}\right) \left(-900+360 x-96 x^2+12 x^3-x^4+e^{16 x} \left(-1350-21060 x+8631 x^2-1584 x^3+144 x^4\right)\right)}{900-360 x+96 x^2-12 x^3+x^4} \, dx","Integrate[(E^((30 - 36*x + 7*x^2 - x^3 + E^(16*x)*(-45*x + 9*x^2))/(30 - 6*x + x^2))*(-900 + 360*x - 96*x^2 + 12*x^3 - x^4 + E^(16*x)*(-1350 - 21060*x + 8631*x^2 - 1584*x^3 + 144*x^4)))/(900 - 360*x + 96*x^2 - 12*x^3 + x^4),x]","\exp \left(\frac{-x^3+\left(9 e^{16 x}+7\right) x^2-9 \left(5 e^{16 x}+4\right) x+30}{x^2-6 x+30}\right)","e^{-\frac{3 e^{16 x} x}{\frac{x^2}{3 (5-x)}+2}-x+1}",1,"E^((30 - 9*(4 + 5*E^(16*x))*x + (7 + 9*E^(16*x))*x^2 - x^3)/(30 - 6*x + x^2))","A",1
1433,1,20,17,0.0292961,"\int e^{-1-20 x \log (2)-25 x^2 \log ^2(2)} \left(1-20 x \log (2)-50 x^2 \log ^2(2)\right) \, dx","Integrate[E^(-1 - 20*x*Log[2] - 25*x^2*Log[2]^2)*(1 - 20*x*Log[2] - 50*x^2*Log[2]^2),x]","2^{-20 x} x e^{-25 x^2 \log ^2(2)-1}","x e^{3-(5 x \log (2)+2)^2}",1,"(E^(-1 - 25*x^2*Log[2]^2)*x)/2^(20*x)","A",1
1434,1,31,22,0.0142502,"\int \left(41472 x^7-165888 x^7 \log (4)+248832 x^7 \log ^2(4)-165888 x^7 \log ^3(4)+41472 x^7 \log ^4(4)+\left(1152 x^3-2304 x^3 \log (4)+1152 x^3 \log ^2(4)\right) \log (5)\right) \, dx","Integrate[41472*x^7 - 165888*x^7*Log[4] + 248832*x^7*Log[4]^2 - 165888*x^7*Log[4]^3 + 41472*x^7*Log[4]^4 + (1152*x^3 - 2304*x^3*Log[4] + 1152*x^3*Log[4]^2)*Log[5],x]","1152 (\log (4)-1)^2 \left(\frac{9}{2} x^8 (\log (4)-1)^2+\frac{1}{4} x^4 \log (5)\right)","4 \left(36 x^2 (x \log (4)-x)^2+\log (5)\right)^2",1,"1152*(-1 + Log[4])^2*((9*x^8*(-1 + Log[4])^2)/2 + (x^4*Log[5])/4)","A",1
1435,1,11,13,0.0275586,"\int \frac{1}{4} e^{\frac{1}{4} \left(x+4 x^3\right)} \left(1+12 x^2\right) \, dx","Integrate[(E^((x + 4*x^3)/4)*(1 + 12*x^2))/4,x]","e^{x^3+\frac{x}{4}}","e^{x \left(x^2+\frac{1}{4}\right)}+3",1,"E^(x/4 + x^3)","A",1
1436,1,28,27,0.0648595,"\int \frac{25 x+5 x^2+e^x \left(-25 x-5 x^2\right)+\left(100+15 x-10 x^2+e^x (25+10 x)+(25+10 x) \log ^2(5)\right) \log \left(4+e^x-x+\log ^2(5)\right)+\left(8-2 x+12 x^2-3 x^3+e^x \left(2+3 x^2\right)+\left(2+3 x^2\right) \log ^2(5)\right) \log ^2\left(4+e^x-x+\log ^2(5)\right)}{\left(4+e^x-x+\log ^2(5)\right) \log ^2\left(4+e^x-x+\log ^2(5)\right)} \, dx","Integrate[(25*x + 5*x^2 + E^x*(-25*x - 5*x^2) + (100 + 15*x - 10*x^2 + E^x*(25 + 10*x) + (25 + 10*x)*Log[5]^2)*Log[4 + E^x - x + Log[5]^2] + (8 - 2*x + 12*x^2 - 3*x^3 + E^x*(2 + 3*x^2) + (2 + 3*x^2)*Log[5]^2)*Log[4 + E^x - x + Log[5]^2]^2)/((4 + E^x - x + Log[5]^2)*Log[4 + E^x - x + Log[5]^2]^2),x]","x^3+2 x+\frac{5 (x+5) x}{\log \left(-x+e^x+4+\log ^2(5)\right)}","x \left(x^2+\frac{5 (x+5)}{\log \left(-x+e^x+4+\log ^2(5)\right)}+2\right)",1,"2*x + x^3 + (5*x*(5 + x))/Log[4 + E^x - x + Log[5]^2]","A",1
1437,1,10,19,0.0015967,"\int \frac{-4-4 x}{x^2} \, dx","Integrate[(-4 - 4*x)/x^2,x]","-4 \left(\log (x)-\frac{1}{x}\right)","4 \left(\frac{1-x}{x}-\log (x)-1+\log (4)\right)",1,"-4*(-x^(-1) + Log[x])","A",1
1438,1,30,27,1.309381,"\int e^{-3 x^2+x^3} \left(-1+e^{3 x^2-x^3} (1-2 x)-6 x+3 x^2+\left(-1+6 x^2-3 x^3\right) \log (x)\right) \, dx","Integrate[E^(-3*x^2 + x^3)*(-1 + E^(3*x^2 - x^3)*(1 - 2*x) - 6*x + 3*x^2 + (-1 + 6*x^2 - 3*x^3)*Log[x]),x]","-x^2+e^{(x-3) x^2}-e^{(x-3) x^2} x \log (x)+x","-x^2+e^{-\left((3-x) x^2\right)} (1-x \log (x))+x",1,"E^((-3 + x)*x^2) + x - x^2 - E^((-3 + x)*x^2)*x*Log[x]","A",1
1439,1,14,20,0.0049706,"\int \frac{2+300 x}{-5+e^{625}+x+75 x^2} \, dx","Integrate[(2 + 300*x)/(-5 + E^625 + x + 75*x^2),x]","2 \log \left(75 x^2+x+e^{625}-5\right)","\log \left(16 \left(-3 \left(1-25 x^2\right)+x+e^{625}-2\right)^2\right)",1,"2*Log[-5 + E^625 + x + 75*x^2]","A",1
1440,1,32,30,0.2579423,"\int \frac{e^{\frac{4 x+4 x^2}{\log (4)}} (-4-8 x)+\log (4)}{2 e^{\frac{4 x+4 x^2}{\log (4)}} \log (4)+(-2 x-2 \log (2)) \log (4)} \, dx","Integrate[(E^((4*x + 4*x^2)/Log[4])*(-4 - 8*x) + Log[4])/(2*E^((4*x + 4*x^2)/Log[4])*Log[4] + (-2*x - 2*Log[2])*Log[4]),x]","-\frac{1}{2} \log \left(e^{\frac{4 x^2}{\log (4)}+\frac{4 x}{\log (4)}}-x-\log (2)\right)","e^3-\frac{1}{2} \log \left(e^{\frac{4 \left(x^2+x\right)}{\log (4)}}-x-\log (2)\right)",1,"-1/2*Log[E^((4*x)/Log[4] + (4*x^2)/Log[4]) - x - Log[2]]","A",1
1441,1,28,28,0.0156393,"\int \frac{-288-192 x-26 x^2-616 x^3-99 x^4-4 x^5}{144 x+24 x^2+613 x^3+99 x^4+4 x^5} \, dx","Integrate[(-288 - 192*x - 26*x^2 - 616*x^3 - 99*x^4 - 4*x^5)/(144*x + 24*x^2 + 613*x^3 + 99*x^4 + 4*x^5),x]","\log \left(4 x^3+51 x^2+x+12\right)-x-2 \log (x)-\log (x+12)","\log \left(\frac{-\frac{x}{-\frac{x}{3}-4}+x+\frac{1}{x}}{x}+3\right)-x",1,"-x - 2*Log[x] - Log[12 + x] + Log[12 + x + 51*x^2 + 4*x^3]","A",1
1442,1,26,23,0.0967184,"\int \frac{e^{10+2 e^{4-x}+10 x} \left(10-2 e^{4-x}\right)+2 x \log ^2(4)+e^{5+e^{4-x}+5 x} \left(-2 e^{4-x} x \log (4)+(2+10 x) \log (4)\right)}{\log ^2(4)} \, dx","Integrate[(E^(10 + 2*E^(4 - x) + 10*x)*(10 - 2*E^(4 - x)) + 2*x*Log[4]^2 + E^(5 + E^(4 - x) + 5*x)*(-2*E^(4 - x)*x*Log[4] + (2 + 10*x)*Log[4]))/Log[4]^2,x]","\frac{\left(e^{5 x+e^{4-x}+5}+x \log (4)\right)^2}{\log ^2(4)}","\left(x+\frac{e^{5 x+e^{4-x}+5}}{\log (4)}\right)^2",1,"(E^(5 + E^(4 - x) + 5*x) + x*Log[4])^2/Log[4]^2","A",1
1443,1,20,29,0.0603101,"\int \frac{-192 x^2-48 x^3+\log (2 x) (x+(-8-2 x) \log (4+x))}{\left(576 x^3+144 x^4\right) \log (2 x)} \, dx","Integrate[(-192*x^2 - 48*x^3 + Log[2*x]*(x + (-8 - 2*x)*Log[4 + x]))/((576*x^3 + 144*x^4)*Log[2*x]),x]","\frac{1}{144} \left(\frac{\log (x+4)}{x^2}-48 \log (\log (2 x))\right)","\frac{1}{3} \left(\frac{\log (x+4)}{48 x^2}-\log \left(\frac{\log (2 x)}{\log (5)}\right)+4\right)",1,"(Log[4 + x]/x^2 - 48*Log[Log[2*x]])/144","A",1
1444,1,26,28,5.2999732,"\int \frac{e^{-4-x+\frac{e^{-3-x-\log ^2(x)}}{2+\log \left(\frac{3}{x}\right)}-\log ^2(x)} \left(e (1-2 x)-e x \log \left(\frac{3}{x}\right)+\left(-4 e-2 e \log \left(\frac{3}{x}\right)\right) \log (x)\right)}{4 x+4 x \log \left(\frac{3}{x}\right)+x \log ^2\left(\frac{3}{x}\right)} \, dx","Integrate[(E^(-4 - x + E^(-3 - x - Log[x]^2)/(2 + Log[3/x]) - Log[x]^2)*(E*(1 - 2*x) - E*x*Log[3/x] + (-4*E - 2*E*Log[3/x])*Log[x]))/(4*x + 4*x*Log[3/x] + x*Log[3/x]^2),x]","e^{\frac{e^{-x-\log ^2(x)-3}}{\log \left(\frac{3}{x}\right)+2}}","e^{\frac{e^{-x-\log ^2(x)-3}}{\log \left(\frac{3}{x}\right)+2}}-4",1,"E^(E^(-3 - x - Log[x]^2)/(2 + Log[3/x]))","A",1
1445,1,23,28,0.0772034,"\int \frac{e^{\frac{-4205 x+e^{4 x} x}{4205}} \left(-4205-4205 x+e^{4 x} \left(x+4 x^2\right)\right)}{4205 x^2 \log (5)} \, dx","Integrate[(E^((-4205*x + E^(4*x)*x)/4205)*(-4205 - 4205*x + E^(4*x)*(x + 4*x^2)))/(4205*x^2*Log[5]),x]","\frac{e^{\left(\frac{e^{4 x}}{4205}-1\right) x}}{x \log (5)}","\frac{e^{\frac{e^{4 x} x}{4205}-x}-x}{x \log (5)}",1,"E^((-1 + E^(4*x)/4205)*x)/(x*Log[5])","A",1
1446,1,27,28,0.688643,"\int e^{-e^{\frac{1}{5} \left(2-80 x^2-10 x^3+10 x^4\right)}+x} \left(1+e^{\frac{1}{5} \left(2-80 x^2-10 x^3+10 x^4\right)} \left(32 x+6 x^2-8 x^3\right)\right) \, dx","Integrate[E^(-E^((2 - 80*x^2 - 10*x^3 + 10*x^4)/5) + x)*(1 + E^((2 - 80*x^2 - 10*x^3 + 10*x^4)/5)*(32*x + 6*x^2 - 8*x^3)),x]","e^{x-e^{2 x^4-2 x^3-16 x^2+\frac{2}{5}}}","e^{x-e^{2 (x+(x-4) (x+2)) x^2+\frac{2}{5}}}+1",1,"E^(-E^(2/5 - 16*x^2 - 2*x^3 + 2*x^4) + x)","A",1
1447,1,12,12,0.0256603,"\int e^x \left(-30 x-3 x^2+4 x^3\right) \, dx","Integrate[E^x*(-30*x - 3*x^2 + 4*x^3),x]","e^x x^2 (4 x-15)","e^x x^2 (4 x-15)",1,"E^x*x^2*(-15 + 4*x)","A",1
1448,1,50,28,0.2611542,"\int \frac{2 e^{4 x} x+8 x^3+e^{2 x} \left(-2 x+12 x^2\right)+e^{x^2} \left(4 e^{4 x} x^2+16 e^{2 x} x^3+16 x^4\right)+\left(12 x^2+8 x^3+e^{4 x} (4+2 x)+e^{2 x} \left(14 x+8 x^2\right)+e^{x^2} \left(2 e^{4 x}+8 e^{2 x} x+8 x^2\right)\right) \log \left(\frac{3 x+2 x^2+e^{2 x} (2+x)+e^{x^2} \left(e^{2 x}+2 x\right)}{e^{2 x}+2 x}\right)}{30 x^2+20 x^3+e^{4 x} (10+5 x)+e^{2 x} \left(35 x+20 x^2\right)+e^{x^2} \left(5 e^{4 x}+20 e^{2 x} x+20 x^2\right)} \, dx","Integrate[(2*E^(4*x)*x + 8*x^3 + E^(2*x)*(-2*x + 12*x^2) + E^x^2*(4*E^(4*x)*x^2 + 16*E^(2*x)*x^3 + 16*x^4) + (12*x^2 + 8*x^3 + E^(4*x)*(4 + 2*x) + E^(2*x)*(14*x + 8*x^2) + E^x^2*(2*E^(4*x) + 8*E^(2*x)*x + 8*x^2))*Log[(3*x + 2*x^2 + E^(2*x)*(2 + x) + E^x^2*(E^(2*x) + 2*x))/(E^(2*x) + 2*x)])/(30*x^2 + 20*x^3 + E^(4*x)*(10 + 5*x) + E^(2*x)*(35*x + 20*x^2) + E^x^2*(5*E^(4*x) + 20*E^(2*x)*x + 20*x^2)),x]","\frac{2}{5} x \log \left(\frac{2 e^{x^2} x+(2 x+3) x+e^{x (x+2)}+e^{2 x} (x+2)}{2 x+e^{2 x}}\right)","\frac{2}{5} x \log \left(e^{x^2}-\frac{x}{2 x+e^{2 x}}+x+2\right)",1,"(2*x*Log[(E^(x*(2 + x)) + 2*E^x^2*x + E^(2*x)*(2 + x) + x*(3 + 2*x))/(E^(2*x) + 2*x)])/5","A",1
1449,1,23,27,0.1009906,"\int \frac{e^{-x^2} \left(-1+9 x-4 x^2-18 x^3-2 x^4+2 x^2 \log (x)\right)}{4 x} \, dx","Integrate[(-1 + 9*x - 4*x^2 - 18*x^3 - 2*x^4 + 2*x^2*Log[x])/(4*E^x^2*x),x]","\frac{1}{4} e^{-x^2} \left(x^2+9 x-\log (x)+3\right)","e^{-x^2} \left(x+\frac{1}{4} (x (x+5)-\log (x)+3)\right)-1",1,"(3 + 9*x + x^2 - Log[x])/(4*E^x^2)","A",1
1450,1,17,17,0.0142352,"\int \frac{e^{\frac{1-e^8 \log \left(e^2 \left(x+e x^2\right)\right)}{e^8}} (-1-2 e x)}{x+e x^2} \, dx","Integrate[(E^((1 - E^8*Log[E^2*(x + E*x^2)])/E^8)*(-1 - 2*E*x))/(x + E*x^2),x]","\frac{e^{\frac{1}{e^8}-2}}{e x^2+x}","\frac{e^{\frac{1}{e^8}-2}}{e x^2+x}",1,"E^(-2 + E^(-8))/(x + E*x^2)","A",1
1451,1,25,25,0.1078063,"\int \frac{-80 e^{\frac{2}{5} (10-7 x)}+e^{\frac{2}{5} (10-7 x)} (-40-56 x) \log \left(x^2\right)}{5 x^3 \log ^3\left(x^2\right) \log (\log (5))} \, dx","Integrate[(-80*E^((2*(10 - 7*x))/5) + E^((2*(10 - 7*x))/5)*(-40 - 56*x)*Log[x^2])/(5*x^3*Log[x^2]^3*Log[Log[5]]),x]","\frac{4 e^{4-\frac{14 x}{5}}}{x^2 \log (\log (5)) \log ^2\left(x^2\right)}","\frac{4 e^{4-\frac{14 x}{5}}}{x^2 \log (\log (5)) \log ^2\left(x^2\right)}",1,"(4*E^(4 - (14*x)/5))/(x^2*Log[x^2]^2*Log[Log[5]])","A",1
1452,1,17,27,0.0054665,"\int \left(-1-e^x+e^{4+e^5+x}\right) \, dx","Integrate[-1 - E^x + E^(4 + E^5 + x),x]","-x-e^x+e^{x+e^5+4}","-x-e^x+e^{x+e^5+4}+\frac{\sqrt[4]{2}}{e^3}-2",1,"-E^x + E^(4 + E^5 + x) - x","A",1
1453,1,26,30,0.1389071,"\int \frac{-540+36 x^2+24 x^3+108 \log (5)+(360 x-72 x \log (5)) \log \left(x^2\right)+\left(-60 x^2+12 x^2 \log (5)\right) \log ^2\left(x^2\right)}{9 x^2-6 x^3 \log \left(x^2\right)+x^4 \log ^2\left(x^2\right)} \, dx","Integrate[(-540 + 36*x^2 + 24*x^3 + 108*Log[5] + (360*x - 72*x*Log[5])*Log[x^2] + (-60*x^2 + 12*x^2*Log[5])*Log[x^2]^2)/(9*x^2 - 6*x^3*Log[x^2] + x^4*Log[x^2]^2),x]","12 \left(\frac{5-\log (5)}{x}-\frac{x}{x \log \left(x^2\right)-3}\right)","5-\frac{6 \left(2 \left(\frac{x}{\log \left(x^2\right)-\frac{3}{x}}+x-5+\log (5)\right)+x\right)}{x}",1,"12*((5 - Log[5])/x - x/(-3 + x*Log[x^2]))","A",1
1454,1,20,20,0.0525019,"\int \frac{1}{128} e^{-x} \left(e^{2 e^2} x+e^{2 e^2} \left(2 x-x^2\right) \log (x)\right) \, dx","Integrate[(E^(2*E^2)*x + E^(2*E^2)*(2*x - x^2)*Log[x])/(128*E^x),x]","\frac{1}{128} e^{2 e^2-x} x^2 \log (x)","\frac{1}{128} e^{2 e^2-x} x^2 \log (x)",1,"(E^(2*E^2 - x)*x^2*Log[x])/128","A",1
1455,1,19,22,0.1055284,"\int \frac{-240 x-48 x^2+\left(240 x+48 x^2\right) \log (x)+\left(\left(240 x+96 x^2\right) \log (x)+(45+18 x) \log ^2(x)\right) \log \left(\frac{16 x+3 \log (x)}{\log (x)}\right) \log \left(2 \log \left(\frac{16 x+3 \log (x)}{\log (x)}\right)\right)}{\left(16 x \log (x)+3 \log ^2(x)\right) \log \left(\frac{16 x+3 \log (x)}{\log (x)}\right)} \, dx","Integrate[(-240*x - 48*x^2 + (240*x + 48*x^2)*Log[x] + ((240*x + 96*x^2)*Log[x] + (45 + 18*x)*Log[x]^2)*Log[(16*x + 3*Log[x])/Log[x]]*Log[2*Log[(16*x + 3*Log[x])/Log[x]]])/((16*x*Log[x] + 3*Log[x]^2)*Log[(16*x + 3*Log[x])/Log[x]]),x]","3 x (x+5) \log \left(2 \log \left(\frac{16 x}{\log (x)}+3\right)\right)","3 x (x+5) \log \left(2 \log \left(\frac{16 x}{\log (x)}+3\right)\right)+\log (5)",1,"3*x*(5 + x)*Log[2*Log[3 + (16*x)/Log[x]]]","A",1
1456,1,35,32,0.3334952,"\int \frac{\exp \left(\frac{-x+x \log (3)-4 x \log \left(\frac{25+6 x+5 \log (x)}{5+x+\log (x)}\right)}{4 \log \left(\frac{25+6 x+5 \log (x)}{5+x+\log (x)}\right)}\right) \left(4 x-4 x \log (3)+(x-x \log (3)) \log (x)+\left(-125-55 x-6 x^2+\left(125+55 x+6 x^2\right) \log (3)+(-50-11 x+(50+11 x) \log (3)) \log (x)+(-5+5 \log (3)) \log ^2(x)\right) \log \left(\frac{25+6 x+5 \log (x)}{5+x+\log (x)}\right)+\left(-500-220 x-24 x^2+(-200-44 x) \log (x)-20 \log ^2(x)\right) \log ^2\left(\frac{25+6 x+5 \log (x)}{5+x+\log (x)}\right)\right)}{\left(500+220 x+24 x^2+(200+44 x) \log (x)+20 \log ^2(x)\right) \log ^2\left(\frac{25+6 x+5 \log (x)}{5+x+\log (x)}\right)} \, dx","Integrate[(E^((-x + x*Log[3] - 4*x*Log[(25 + 6*x + 5*Log[x])/(5 + x + Log[x])])/(4*Log[(25 + 6*x + 5*Log[x])/(5 + x + Log[x])]))*(4*x - 4*x*Log[3] + (x - x*Log[3])*Log[x] + (-125 - 55*x - 6*x^2 + (125 + 55*x + 6*x^2)*Log[3] + (-50 - 11*x + (50 + 11*x)*Log[3])*Log[x] + (-5 + 5*Log[3])*Log[x]^2)*Log[(25 + 6*x + 5*Log[x])/(5 + x + Log[x])] + (-500 - 220*x - 24*x^2 + (-200 - 44*x)*Log[x] - 20*Log[x]^2)*Log[(25 + 6*x + 5*Log[x])/(5 + x + Log[x])]^2))/((500 + 220*x + 24*x^2 + (200 + 44*x)*Log[x] + 20*Log[x]^2)*Log[(25 + 6*x + 5*Log[x])/(5 + x + Log[x])]^2),x]","\exp \left(\frac{x (\log (3)-1)}{4 \log \left(\frac{6 x+5 \log (x)+25}{x+\log (x)+5}\right)}-x\right)","e^{\frac{x \log (3)-x}{4 \log \left(\frac{x}{x+\log (x)+5}+5\right)}-x}",1,"E^(-x + (x*(-1 + Log[3]))/(4*Log[(25 + 6*x + 5*Log[x])/(5 + x + Log[x])]))","A",1
1457,1,52,22,0.2781585,"\int \frac{16 x^2+6 x^3+e^x \left(75+90 x+27 x^2\right)}{-10 x^2-6 x^3+e^x \left(-75 x+310 x^2+453 x^3+144 x^4\right)} \, dx","Integrate[(16*x^2 + 6*x^3 + E^x*(75 + 90*x + 27*x^2))/(-10*x^2 - 6*x^3 + E^x*(-75*x + 310*x^2 + 453*x^3 + 144*x^4)),x]","\log \left(48 e^x x^2+71 e^x x-2 x-15 e^x\right)-x+\log (3-16 x)-\log (x)-\log ((3-16 x) (3 x+5))","\log \left(-\frac{3}{x}+\frac{2 e^{-x}}{-3 x-5}+16\right)",1,"-x + Log[3 - 16*x] - Log[x] - Log[(3 - 16*x)*(5 + 3*x)] + Log[-15*E^x - 2*x + 71*E^x*x + 48*E^x*x^2]","B",1
1458,1,12,12,0.0150502,"\int \left(1+e^{484+e^6+44 x+x^2+e^3 (44+2 x)} \left(44+2 e^3+2 x\right)\right) \, dx","Integrate[1 + E^(484 + E^6 + 44*x + x^2 + E^3*(44 + 2*x))*(44 + 2*E^3 + 2*x),x]","x+e^{\left(x+e^3+22\right)^2}","x+e^{\left(x+e^3+22\right)^2}",1,"E^(22 + E^3 + x)^2 + x","A",1
1459,1,29,24,0.0219537,"\int \frac{e^{-2 x} \left(e^{2 x}+6 e^{8 x} x^2+162 x^3-162 x^4+e^x \left(18 x^2-18 x^3\right)\right)}{x^2} \, dx","Integrate[(E^(2*x) + 6*E^(8*x)*x^2 + 162*x^3 - 162*x^4 + E^x*(18*x^2 - 18*x^3))/(E^(2*x)*x^2),x]","81 e^{-2 x} x^2+18 e^{-x} x+e^{6 x}-\frac{1}{x}","\left(9 e^{-x} x+1\right)^2+e^{6 x}-\frac{1}{x}-7",1,"E^(6*x) - x^(-1) + (18*x)/E^x + (81*x^2)/E^(2*x)","A",1
1460,1,30,30,1.2538082,"\int \frac{\exp \left(-\frac{5}{x^2}+\frac{e^{-\frac{5}{x^2}} \left(-x^3+e^{\frac{5}{x^2}} \left(-e x^2+x^3+x^2 \log (5)\right)-e^{\frac{5}{x^2}} \log ^2(x)\right)}{x^2}\right) \left(-10 x-x^3+e^{\frac{5}{x^2}} x^3-2 e^{\frac{5}{x^2}} \log (x)+2 e^{\frac{5}{x^2}} \log ^2(x)\right)}{4 x^3} \, dx","Integrate[(E^(-5/x^2 + (-x^3 + E^(5/x^2)*(-(E*x^2) + x^3 + x^2*Log[5]) - E^(5/x^2)*Log[x]^2)/(E^(5/x^2)*x^2))*(-10*x - x^3 + E^(5/x^2)*x^3 - 2*E^(5/x^2)*Log[x] + 2*E^(5/x^2)*Log[x]^2))/(4*x^3),x]","\frac{5}{4} e^{-e^{-\frac{5}{x^2}} x-\frac{\log ^2(x)}{x^2}+x-e}","\frac{5}{4} e^{-e^{-\frac{5}{x^2}} x-\frac{\log ^2(x)}{x^2}+x-e}",1,"(5*E^(-E + x - x/E^(5/x^2) - Log[x]^2/x^2))/4","A",1
1461,1,67,34,0.6471517,"\int \frac{\exp \left(\frac{x^2+2 e^3 x^4+e^{10-4 x} x^4+e^6 x^6+e^{2-2 x} \left(2 e^3 x^3+2 e^6 x^5\right)}{e^{4-4 x}+2 e^{2-2 x} x+x^2}\right) \left(4 e^{12-6 x} x^3+4 e^3 x^4+4 e^6 x^6+e^{4-4 x} \left(12 e^6 x^4+e^3 \left(6 x^2+4 x^3\right)\right)+e^{2-2 x} \left(2 x+4 x^2+12 e^6 x^5+e^3 \left(10 x^3+4 x^4\right)\right)\right)}{-4 e^{6-6 x}-12 e^{4-4 x} x-12 e^{2-2 x} x^2-4 x^3+\exp \left(\frac{x^2+2 e^3 x^4+e^{10-4 x} x^4+e^6 x^6+e^{2-2 x} \left(2 e^3 x^3+2 e^6 x^5\right)}{e^{4-4 x}+2 e^{2-2 x} x+x^2}\right) \left(e^{6-6 x}+3 e^{4-4 x} x+3 e^{2-2 x} x^2+x^3\right)} \, dx","Integrate[(E^((x^2 + 2*E^3*x^4 + E^(10 - 4*x)*x^4 + E^6*x^6 + E^(2 - 2*x)*(2*E^3*x^3 + 2*E^6*x^5))/(E^(4 - 4*x) + 2*E^(2 - 2*x)*x + x^2))*(4*E^(12 - 6*x)*x^3 + 4*E^3*x^4 + 4*E^6*x^6 + E^(4 - 4*x)*(12*E^6*x^4 + E^3*(6*x^2 + 4*x^3)) + E^(2 - 2*x)*(2*x + 4*x^2 + 12*E^6*x^5 + E^3*(10*x^3 + 4*x^4))))/(-4*E^(6 - 6*x) - 12*E^(4 - 4*x)*x - 12*E^(2 - 2*x)*x^2 - 4*x^3 + E^((x^2 + 2*E^3*x^4 + E^(10 - 4*x)*x^4 + E^6*x^6 + E^(2 - 2*x)*(2*E^3*x^3 + 2*E^6*x^5))/(E^(4 - 4*x) + 2*E^(2 - 2*x)*x + x^2))*(E^(6 - 6*x) + 3*E^(4 - 4*x)*x + 3*E^(2 - 2*x)*x^2 + x^3)),x]","\log \left(4-\exp \left(e^6 x^4+2 e^3 x^2-\frac{2 \left(e^5 x^2+e^2\right)}{e^{2 x} x+e^2}+\frac{e^4}{\left(e^{2 x} x+e^2\right)^2}+1\right)\right)","\log \left(\frac{3}{2} \left(e^{\left(e^3 x^2+\frac{x}{x+e^{2 (1-x)}}\right)^2}-4\right)\right)",1,"Log[4 - E^(1 + 2*E^3*x^2 + E^6*x^4 + E^4/(E^2 + E^(2*x)*x)^2 - (2*(E^2 + E^5*x^2))/(E^2 + E^(2*x)*x))]","A",1
1462,1,22,29,1.0013556,"\int \frac{e^{3+x-e^{\frac{1+(4+x) \log (x)}{\log (x)}} x} \left(\log ^2(x)+e^{\frac{1+(4+x) \log (x)}{\log (x)}} \left(1+(-1-x) \log ^2(x)\right)\right)}{\log (5) \log ^2(x)} \, dx","Integrate[(E^(3 + x - E^((1 + (4 + x)*Log[x])/Log[x])*x)*(Log[x]^2 + E^((1 + (4 + x)*Log[x])/Log[x])*(1 + (-1 - x)*Log[x]^2)))/(Log[5]*Log[x]^2),x]","\frac{e^{x+x \left(-e^{x+\frac{1}{\log (x)}+4}\right)+3}}{\log (5)}","\frac{e^{x-x \left(e^{x+\frac{1}{\log (x)}+4}-\frac{3}{x}\right)}+5}{\log (5)}",1,"E^(3 + x - E^(4 + x + Log[x]^(-1))*x)/Log[5]","A",1
1463,1,19,11,0.0023524,"\int \frac{6 \log (x)+6 \log \left(-x^2\right)}{x} \, dx","Integrate[(6*Log[x] + 6*Log[-x^2])/x,x]","\frac{3}{2} \log ^2\left(-x^2\right)+3 \log ^2(x)","\left(\log \left(-x^2\right)+\log (x)\right)^2",1,"3*Log[x]^2 + (3*Log[-x^2]^2)/2","A",1
1464,1,27,30,0.5913455,"\int \frac{25 x^2+20 x^3+e^{4 x} (25+20 x)+e^{2 x} \left(-50 x-40 x^2\right)+e^{e^{\frac{2}{e^{2 x}-x}}} \left(5 e^{4 x}-10 e^{2 x} x+5 x^2+e^{\frac{2}{e^{2 x}-x}} \left(10 x-20 e^{2 x} x\right)\right)+\left(5 e^{4 x}-10 e^{2 x} x+5 x^2\right) \log (x)}{e^{4 x}-2 e^{2 x} x+x^2} \, dx","Integrate[(25*x^2 + 20*x^3 + E^(4*x)*(25 + 20*x) + E^(2*x)*(-50*x - 40*x^2) + E^E^(2/(E^(2*x) - x))*(5*E^(4*x) - 10*E^(2*x)*x + 5*x^2 + E^(2/(E^(2*x) - x))*(10*x - 20*E^(2*x)*x)) + (5*E^(4*x) - 10*E^(2*x)*x + 5*x^2)*Log[x])/(E^(4*x) - 2*E^(2*x)*x + x^2),x]","5 x \left(2 x+e^{e^{\frac{2}{e^{2 x}-x}}}+\log (x)+4\right)","5 \left(x \left(2 x+e^{e^{\frac{2}{e^{2 x}-x}}}+\log (x)+4\right)+3\right)",1,"5*x*(4 + E^E^(2/(E^(2*x) - x)) + 2*x + Log[x])","A",1
1465,1,17,17,0.0937027,"\int \frac{-\frac{3}{5} e^{2 x} \log (x)+\left(\frac{e^{2 x}}{5}+\frac{2}{5} e^{2 x} x \log (x)\right) \log \left(x^3\right)}{5 x \log ^2\left(x^3\right)} \, dx","Integrate[((-3*E^(2*x)*Log[x])/5 + (E^(2*x)/5 + (2*E^(2*x)*x*Log[x])/5)*Log[x^3])/(5*x*Log[x^3]^2),x]","\frac{e^{2 x} \log (x)}{25 \log \left(x^3\right)}","\frac{e^{2 x} \log (x)}{25 \log \left(x^3\right)}",1,"(E^(2*x)*Log[x])/(25*Log[x^3])","A",1
1466,1,27,25,0.0043123,"\int \frac{-25-5 e^4+2 x}{-135+5 e^{e^4}} \, dx","Integrate[(-25 - 5*E^4 + 2*x)/(-135 + 5*E^E^4),x]","\frac{-x^2+5 e^4 x+25 x}{135-5 e^{e^4}}","\frac{\left(\frac{x-5}{5}-e^4-4\right) x}{e^{e^4}-27}",1,"(25*x + 5*E^4*x - x^2)/(135 - 5*E^E^4)","A",1
1467,1,26,31,0.0328669,"\int \frac{e^{-3-x} \left(e^{2 x} \left(x^2+x^3\right)+e^{2+x} \left(3 e+2 e^{2 x} x^2 \log (5)\right)\right)}{x^2} \, dx","Integrate[(E^(-3 - x)*(E^(2*x)*(x^2 + x^3) + E^(2 + x)*(3*E + 2*E^(2*x)*x^2*Log[5])))/x^2,x]","e^{x-3} x-\frac{3}{x}+\frac{1}{2} e^{2 x-1} \log (25)","6-\frac{3-e^{2 x-1} x \left(e^{-x-2} x+\log (5)\right)}{x}",1,"-3/x + E^(-3 + x)*x + (E^(-1 + 2*x)*Log[25])/2","A",1
1468,1,31,30,0.0536382,"\int \frac{1}{5} \left(6-5 e^{-1+e^{-1-x}-x}-e^x-2 e^{2 x}\right) \, dx","Integrate[(6 - 5*E^(-1 + E^(-1 - x) - x) - E^x - 2*E^(2*x))/5,x]","\frac{1}{5} \left(6 x+5 e^{e^{-x-1}}-e^x-e^{2 x}\right)","x+e^{e^{-x-1}}+\frac{1}{5} \left(x-e^x-e^{2 x}\right)+6",1,"(5*E^E^(-1 - x) - E^x - E^(2*x) + 6*x)/5","A",1
1469,1,31,26,0.105645,"\int \frac{e^{x^2} \left(-4+2 x-e^x \log (3)+\left(-e^5+x\right) \log (3)\right) \left(-2+8 x-4 x^2+e^x (1+2 x) \log (3)+\left(-1+2 e^5 x-2 x^2\right) \log (3)\right)}{4-2 x+e^x \log (3)+\left(e^5-x\right) \log (3)} \, dx","Integrate[(E^x^2*(-4 + 2*x - E^x*Log[3] + (-E^5 + x)*Log[3])*(-2 + 8*x - 4*x^2 + E^x*(1 + 2*x)*Log[3] + (-1 + 2*E^5*x - 2*x^2)*Log[3]))/(4 - 2*x + E^x*Log[3] + (E^5 - x)*Log[3]),x]","\frac{1}{2} e^{x^2} \left(x (4+\log (9))-e^x \log (9)-8-e^5 \log (9)\right)","e^{x^2} \left(2 x+\left(x-e^x-e^5\right) \log (3)-4\right)",1,"(E^x^2*(-8 - E^5*Log[9] - E^x*Log[9] + x*(4 + Log[9])))/2","A",1
1470,1,243,20,0.0754539,"\int \frac{(-60-64 x) \log \left(\frac{9}{144+360 x+417 x^2+240 x^3+64 x^4}\right)}{12+15 x+8 x^2} \, dx","Integrate[((-60 - 64*x)*Log[9/(144 + 360*x + 417*x^2 + 240*x^3 + 64*x^4)])/(12 + 15*x + 8*x^2),x]","-4 \left(2 \text{Li}_2\left(\frac{i \left(16 x-i \sqrt{159}+15\right)}{2 \sqrt{159}}\right)+2 \text{Li}_2\left(-\frac{i \left(16 x+i \sqrt{159}+15\right)}{2 \sqrt{159}}\right)+\log \left(\frac{9}{\left(8 x^2+15 x+12\right)^2}\right) \log \left(16 x-i \sqrt{159}+15\right)+\log \left(16 x+i \sqrt{159}+15\right) \log \left(\frac{9}{\left(8 x^2+15 x+12\right)^2}\right)+\log ^2\left(16 x-i \sqrt{159}+15\right)+\log ^2\left(16 x+i \sqrt{159}+15\right)+2 \log \left(-\frac{i \left(16 x+i \sqrt{159}+15\right)}{2 \sqrt{159}}\right) \log \left(16 x-i \sqrt{159}+15\right)+2 \log \left(\frac{i \left(16 x-i \sqrt{159}+15\right)}{2 \sqrt{159}}\right) \log \left(16 x+i \sqrt{159}+15\right)\right)","\log ^2\left(\frac{1}{\left(\frac{5 x^2}{3}+(x+1) (x+4)\right)^2}\right)",1,"-4*(Log[15 - I*Sqrt[159] + 16*x]^2 + 2*Log[((I/2)*(15 - I*Sqrt[159] + 16*x))/Sqrt[159]]*Log[15 + I*Sqrt[159] + 16*x] + Log[15 + I*Sqrt[159] + 16*x]^2 + 2*Log[15 - I*Sqrt[159] + 16*x]*Log[((-1/2*I)*(15 + I*Sqrt[159] + 16*x))/Sqrt[159]] + Log[15 - I*Sqrt[159] + 16*x]*Log[9/(12 + 15*x + 8*x^2)^2] + Log[15 + I*Sqrt[159] + 16*x]*Log[9/(12 + 15*x + 8*x^2)^2] + 2*PolyLog[2, ((I/2)*(15 - I*Sqrt[159] + 16*x))/Sqrt[159]] + 2*PolyLog[2, ((-1/2*I)*(15 + I*Sqrt[159] + 16*x))/Sqrt[159]])","C",1
1471,1,45,25,0.0867524,"\int \frac{16-76 x-52 x^2+22 x^4+8 x^5+\left(-40 x-26 x^2-4 x^3+10 x^4+4 x^5\right) \log \left(\frac{4+x-x^3}{x}\right)+\left(-8 x-2 x^2+2 x^4+\left(-4 x-x^2+x^4\right) \log \left(\frac{4+x-x^3}{x}\right)\right) \log \left(2+\log \left(\frac{4+x-x^3}{x}\right)\right)}{-8 x-2 x^2+2 x^4+\left(-4 x-x^2+x^4\right) \log \left(\frac{4+x-x^3}{x}\right)} \, dx","Integrate[(16 - 76*x - 52*x^2 + 22*x^4 + 8*x^5 + (-40*x - 26*x^2 - 4*x^3 + 10*x^4 + 4*x^5)*Log[(4 + x - x^3)/x] + (-8*x - 2*x^2 + 2*x^4 + (-4*x - x^2 + x^4)*Log[(4 + x - x^3)/x])*Log[2 + Log[(4 + x - x^3)/x]])/(-8*x - 2*x^2 + 2*x^4 + (-4*x - x^2 + x^4)*Log[(4 + x - x^3)/x]),x]","x \log \left(\log \left(\frac{-x^3+x+4}{x}\right)+2\right)+4 \log \left(\log \left(\frac{-x^3+x+4}{x}\right)+2\right)+2 x^2+10 x","(x+4) \left(\log \left(\log \left(\frac{-x^3+x+4}{x}\right)+2\right)+2 x+2\right)",1,"10*x + 2*x^2 + 4*Log[2 + Log[(4 + x - x^3)/x]] + x*Log[2 + Log[(4 + x - x^3)/x]]","A",1
1472,1,31,27,0.7400879,"\int \frac{48-336 x-16 x^2+80 x^3-64 x^4+\left(288-64 x^2+128 x^3\right) \log (5 x)-64 x^2 \log ^2(5 x)}{225 x^9-450 x^8 \log (5 x)+225 x^7 \log ^2(5 x)} \, dx","Integrate[(48 - 336*x - 16*x^2 + 80*x^3 - 64*x^4 + (288 - 64*x^2 + 128*x^3)*Log[5*x] - 64*x^2*Log[5*x]^2)/(225*x^9 - 450*x^8*Log[5*x] + 225*x^7*Log[5*x]^2),x]","-\frac{16}{225} \left(\frac{3-x^2}{x^6 (\log (5 x)-x)}-\frac{1}{x^4}\right)","\frac{16 \left(x^2+\frac{x^2-3}{\log (5 x)-x}\right)}{225 x^6}",1,"(-16*(-x^(-4) + (3 - x^2)/(x^6*(-x + Log[5*x]))))/225","A",1
1473,1,45,26,0.0166882,"\int \frac{225-30 x+x^2+\left(-30 x+2 x^2\right) \log (5)+\left(-30 x+2 x^2\right) \log (x)+5 \log \left(25-9 \log (5)+\log ^2(5)\right)}{x} \, dx","Integrate[(225 - 30*x + x^2 + (-30*x + 2*x^2)*Log[5] + (-30*x + 2*x^2)*Log[x] + 5*Log[25 - 9*Log[5] + Log[5]^2])/x,x]","x^2 \log (x)+\frac{1}{2} x^2 \log (25)+5 \log \left(25+\log ^2(5)-9 \log (5)\right) \log (x)-30 x \log (x)-30 x \log (5)+225 \log (x)","(\log (x)+\log (5)) \left((x-15)^2+5 \log \left((5-\log (5))^2+\log (5)\right)\right)",1,"-30*x*Log[5] + (x^2*Log[25])/2 + 225*Log[x] - 30*x*Log[x] + x^2*Log[x] + 5*Log[x]*Log[25 - 9*Log[5] + Log[5]^2]","A",1
1474,1,26,26,0.1937609,"\int \frac{1}{5} \left(10+e^{e^{1+e^{\frac{e x^2}{5}}}-x} \left(5-2 e^{2+e^{\frac{e x^2}{5}}+\frac{e x^2}{5}} x\right)\right) \, dx","Integrate[(10 + E^(E^(1 + E^((E*x^2)/5)) - x)*(5 - 2*E^(2 + E^((E*x^2)/5) + (E*x^2)/5)*x))/5,x]","2 x-e^{e^{e^{\frac{e x^2}{5}}+1}-x}","2 x-e^{e^{e^{\frac{e x^2}{5}}+1}-x}",1,"-E^(E^(1 + E^((E*x^2)/5)) - x) + 2*x","A",1
1475,1,38,31,0.1119257,"\int \frac{400+388 x+75 x^2+2 x^3+\left(-160-156 x-28 x^2\right) \log \left(\frac{4}{4+x}\right)+\left(16+16 x+3 x^2\right) \log ^2\left(\frac{4}{4+x}\right)}{\left(200 x+158 x^2+31 x^3+x^4+\left(-80 x-60 x^2-10 x^3\right) \log \left(\frac{4}{4+x}\right)+\left(8 x+6 x^2+x^3\right) \log ^2\left(\frac{4}{4+x}\right)\right) \log ^2\left(\frac{25+x-10 \log \left(\frac{4}{4+x}\right)+\log ^2\left(\frac{4}{4+x}\right)}{4 x^2+2 x^3}\right)} \, dx","Integrate[(400 + 388*x + 75*x^2 + 2*x^3 + (-160 - 156*x - 28*x^2)*Log[4/(4 + x)] + (16 + 16*x + 3*x^2)*Log[4/(4 + x)]^2)/((200*x + 158*x^2 + 31*x^3 + x^4 + (-80*x - 60*x^2 - 10*x^3)*Log[4/(4 + x)] + (8*x + 6*x^2 + x^3)*Log[4/(4 + x)]^2)*Log[(25 + x - 10*Log[4/(4 + x)] + Log[4/(4 + x)]^2)/(4*x^2 + 2*x^3)]^2),x]","\frac{1}{\log \left(\frac{x+\log ^2\left(\frac{4}{x+4}\right)-10 \log \left(\frac{4}{x+4}\right)+25}{2 x^2 (x+2)}\right)}","\frac{1}{\log \left(\frac{x+\left(5-\log \left(\frac{4}{x+4}\right)\right)^2}{2 x^2 (x+2)}\right)}",1,"Log[(25 + x - 10*Log[4/(4 + x)] + Log[4/(4 + x)]^2)/(2*x^2*(2 + x))]^(-1)","A",1
1476,1,207,24,0.2656282,"\int e^{-8 x} \left(576 x^8-352 x^9-128 x^{10}+e^x \left(144 x^8-112 x^9\right)+e^{3 x} \left(-1792 x^6+1280 x^7+\left(448 x^6-320 x^7\right) \log (3)\right)+e^{2 x} \left(-7168 x^6+4096 x^7+1536 x^8+\left(1792 x^6-1024 x^7-384 x^8\right) \log (3)\right)+e^{5 x} \left(7680 x^4-4608 x^5+\left(-3840 x^4+2304 x^5\right) \log (3)+\left(480 x^4-288 x^5\right) \log ^2(3)\right)+e^{4 x} \left(30720 x^4-15360 x^5-6144 x^6+\left(-15360 x^4+7680 x^5+3072 x^6\right) \log (3)+\left(1920 x^4-960 x^5-384 x^6\right) \log ^2(3)\right)+e^{7 x} \left(-12288 x^2+4096 x^3+\left(9216 x^2-3072 x^3\right) \log (3)+\left(-2304 x^2+768 x^3\right) \log ^2(3)+\left(192 x^2-64 x^3\right) \log ^3(3)\right)+e^{6 x} \left(-49152 x^2+16384 x^3+8192 x^4+\left(36864 x^2-12288 x^3-6144 x^4\right) \log (3)+\left(-9216 x^2+3072 x^3+1536 x^4\right) \log ^2(3)+\left(768 x^2-256 x^3-128 x^4\right) \log ^3(3)\right)+e^{9 x} \left(4096+4096 x+(-4096-4096 x) \log (3)+(1536+1536 x) \log ^2(3)+(-256-256 x) \log ^3(3)+(16+16 x) \log ^4(3)\right)+e^{8 x} \left(16384+8192 x+(-16384-8192 x) \log (3)+(6144+3072 x) \log ^2(3)+(-1024-512 x) \log ^3(3)+(64+32 x) \log ^4(3)\right)\right) \, dx","Integrate[(576*x^8 - 352*x^9 - 128*x^10 + E^x*(144*x^8 - 112*x^9) + E^(3*x)*(-1792*x^6 + 1280*x^7 + (448*x^6 - 320*x^7)*Log[3]) + E^(2*x)*(-7168*x^6 + 4096*x^7 + 1536*x^8 + (1792*x^6 - 1024*x^7 - 384*x^8)*Log[3]) + E^(5*x)*(7680*x^4 - 4608*x^5 + (-3840*x^4 + 2304*x^5)*Log[3] + (480*x^4 - 288*x^5)*Log[3]^2) + E^(4*x)*(30720*x^4 - 15360*x^5 - 6144*x^6 + (-15360*x^4 + 7680*x^5 + 3072*x^6)*Log[3] + (1920*x^4 - 960*x^5 - 384*x^6)*Log[3]^2) + E^(7*x)*(-12288*x^2 + 4096*x^3 + (9216*x^2 - 3072*x^3)*Log[3] + (-2304*x^2 + 768*x^3)*Log[3]^2 + (192*x^2 - 64*x^3)*Log[3]^3) + E^(6*x)*(-49152*x^2 + 16384*x^3 + 8192*x^4 + (36864*x^2 - 12288*x^3 - 6144*x^4)*Log[3] + (-9216*x^2 + 3072*x^3 + 1536*x^4)*Log[3]^2 + (768*x^2 - 256*x^3 - 128*x^4)*Log[3]^3) + E^(9*x)*(4096 + 4096*x + (-4096 - 4096*x)*Log[3] + (1536 + 1536*x)*Log[3]^2 + (-256 - 256*x)*Log[3]^3 + (16 + 16*x)*Log[3]^4) + E^(8*x)*(16384 + 8192*x + (-16384 - 8192*x)*Log[3] + (6144 + 3072*x)*Log[3]^2 + (-1024 - 512*x)*Log[3]^3 + (64 + 32*x)*Log[3]^4))/E^(8*x),x]","16 \left(e^{-7 x} x^9+e^{-8 x} (x+4) x^9+\frac{1}{6} e^{-6 x} x^7 (24 x (\log (3)-4)-384-\log (9)+98 \log (3))+4 e^{-5 x} x^7 (\log (3)-4)+\frac{3}{4} e^{-4 x} x^5 (\log (3)-4) (8 x (\log (3)-4)-128-\log (9)+34 \log (3))+6 e^{-3 x} x^5 (\log (3)-4)^2+\frac{1}{2} e^{-2 x} x^3 (\log (3)-4)^2 (8 x (\log (3)-4)-128-3 \log (9)+38 \log (3))+4 e^{-x} x^3 (\log (3)-4)^3+\frac{1}{2} x^2 (\log (3)-4)^3 (\log (9)-8)+x (\log (3)-4)^3 (\log (81)-16)+e^x x (\log (3)-4)^4\right)","16 x \left(x+e^x+4\right) \left(e^{-2 x} x^2-4+\log (3)\right)^4",1,"16*(x^9/E^(7*x) + (x^9*(4 + x))/E^(8*x) + (4*x^7*(-4 + Log[3]))/E^(5*x) + (6*x^5*(-4 + Log[3])^2)/E^(3*x) + (4*x^3*(-4 + Log[3])^3)/E^x + E^x*x*(-4 + Log[3])^4 + (x^3*(-4 + Log[3])^2*(-128 + 8*x*(-4 + Log[3]) + 38*Log[3] - 3*Log[9]))/(2*E^(2*x)) + (3*x^5*(-4 + Log[3])*(-128 + 8*x*(-4 + Log[3]) + 34*Log[3] - Log[9]))/(4*E^(4*x)) + (x^7*(-384 + 24*x*(-4 + Log[3]) + 98*Log[3] - Log[9]))/(6*E^(6*x)) + (x^2*(-4 + Log[3])^3*(-8 + Log[9]))/2 + x*(-4 + Log[3])^3*(-16 + Log[81]))","B",1
1477,1,28,29,0.5588963,"\int \frac{x^3+\exp \left(\frac{4-e^{1+e^{2 e^5}+4 x+4 x^2+e^{e^5} (2+4 x)}+3 x^2+x^3}{x^2}\right) \left(-8+x^3+e^{1+e^{2 e^5}+4 x+4 x^2+e^{e^5} (2+4 x)} \left(2-4 x-4 e^{e^5} x-8 x^2\right)\right)}{x^3} \, dx","Integrate[(x^3 + E^((4 - E^(1 + E^(2*E^5) + 4*x + 4*x^2 + E^E^5*(2 + 4*x)) + 3*x^2 + x^3)/x^2)*(-8 + x^3 + E^(1 + E^(2*E^5) + 4*x + 4*x^2 + E^E^5*(2 + 4*x))*(2 - 4*x - 4*E^E^5*x - 8*x^2)))/x^3,x]","e^{-\frac{e^{\left(2 x+e^{e^5}+1\right)^2}-4}{x^2}+x+3}+x","e^{\frac{4-e^{\left(2 x+e^{e^5}+1\right)^2}}{x^2}+x+3}+x",1,"E^(3 - (-4 + E^(1 + E^E^5 + 2*x)^2)/x^2 + x) + x","A",1
1478,1,34,36,0.0246727,"\int \frac{30 x-6 e^4 x+6 x^2+9 x^4+\left(-25+5 e^4-30 x^3\right) \log (4)+25 x^2 \log ^2(4)}{9 x^4-30 x^3 \log (4)+25 x^2 \log ^2(4)} \, dx","Integrate[(30*x - 6*E^4*x + 6*x^2 + 9*x^4 + (-25 + 5*E^4 - 30*x^3)*Log[4] + 25*x^2*Log[4]^2)/(9*x^4 - 30*x^3*Log[4] + 25*x^2*Log[4]^2),x]","\frac{3 x^3-5 x^2 \log (4)-2 x+e^4-5}{x (3 x-5 \log (4))}","\frac{x^2-2 x+\frac{2 x-e^4+5}{2 x+5 (\log (4)-x)}}{x}",1,"(-5 + E^4 - 2*x + 3*x^3 - 5*x^2*Log[4])/(x*(3*x - 5*Log[4]))","A",1
1479,1,17,17,0.0046204,"\int \frac{1}{4} e^{\frac{1}{4} \left(x-4 \log \left(\frac{-5+e^2}{e^2}\right)\right)} \, dx","Integrate[E^((x - 4*Log[(-5 + E^2)/E^2])/4)/4,x]","\frac{e^{\frac{x}{4}+2}}{e^2-5}","\frac{e^{x/4}}{1-\frac{5}{e^2}}",1,"E^(2 + x/4)/(-5 + E^2)","A",1
1480,1,30,33,0.4560253,"\int \frac{\exp \left(\frac{-20+4 e^4+e^{e^x} \left(4-e^x\right)+3 x-4 x^2+e^x \left(5-e^4-x+x^2\right)}{-5+e^4+e^{e^x}+x-x^2}\right) \left(5-e^4-e^{2 e^x+x}-x^2+e^x \left(-25-e^8+10 x-11 x^2+2 x^3-x^4+e^4 \left(10-2 x+2 x^2\right)\right)+e^{e^x} \left(-1+e^x \left(10-2 e^4-x+2 x^2\right)\right)\right)}{25+e^8+e^{2 e^x}-10 x+11 x^2-2 x^3+x^4+e^4 \left(-10+2 x-2 x^2\right)+e^{e^x} \left(-10+2 e^4+2 x-2 x^2\right)} \, dx","Integrate[(E^((-20 + 4*E^4 + E^E^x*(4 - E^x) + 3*x - 4*x^2 + E^x*(5 - E^4 - x + x^2))/(-5 + E^4 + E^E^x + x - x^2))*(5 - E^4 - E^(2*E^x + x) - x^2 + E^x*(-25 - E^8 + 10*x - 11*x^2 + 2*x^3 - x^4 + E^4*(10 - 2*x + 2*x^2)) + E^E^x*(-1 + E^x*(10 - 2*E^4 - x + 2*x^2))))/(25 + E^8 + E^(2*E^x) - 10*x + 11*x^2 - 2*x^3 + x^4 + E^4*(-10 + 2*x - 2*x^2) + E^E^x*(-10 + 2*E^4 + 2*x - 2*x^2)),x]","e^{-\frac{x}{-x^2+x+e^{e^x}+e^4-5}-e^x+4}","e^{\frac{x}{x^2-x-e^{e^x}-e^4+5}-e^x+4}",1,"E^(4 - E^x - x/(-5 + E^4 + E^E^x + x - x^2))","A",1
1481,1,29,28,6.9970964,"\int \left(2 x+\exp \left(4 x+4 x^2+4 e^x x^2+4 \left(x+e^x x\right) \log ^2(x)\right) \left(4+8 x+e^x \left(8 x+4 x^2\right)+\left(8+8 e^x\right) \log (x)+\left(4+e^x (4+4 x)\right) \log ^2(x)\right)+\exp \left(2 x+2 x^2+2 e^x x^2+2 \left(x+e^x x\right) \log ^2(x)\right) \left(-2-4 x-8 x^2+e^x \left(-8 x^2-4 x^3\right)+\left(-8 x-8 e^x x\right) \log (x)+\left(-4 x+e^x \left(-4 x-4 x^2\right)\right) \log ^2(x)\right)\right) \, dx","Integrate[2*x + E^(4*x + 4*x^2 + 4*E^x*x^2 + 4*(x + E^x*x)*Log[x]^2)*(4 + 8*x + E^x*(8*x + 4*x^2) + (8 + 8*E^x)*Log[x] + (4 + E^x*(4 + 4*x))*Log[x]^2) + E^(2*x + 2*x^2 + 2*E^x*x^2 + 2*(x + E^x*x)*Log[x]^2)*(-2 - 4*x - 8*x^2 + E^x*(-8*x^2 - 4*x^3) + (-8*x - 8*E^x*x)*Log[x] + (-4*x + E^x*(-4*x - 4*x^2))*Log[x]^2),x]","\left(e^{2 x \left(e^x x+x+\left(e^x+1\right) \log ^2(x)+1\right)}-x\right)^2","\left(e^{2 x-2 \left(-e^x-1\right) x \left(x+\log ^2(x)\right)}-x\right)^2",1,"(E^(2*x*(1 + x + E^x*x + (1 + E^x)*Log[x]^2)) - x)^2","A",1
1482,1,28,27,0.1421235,"\int \frac{-20-91 x+x^2+8 x^3+\left(5+18 x-6 x^2\right) \log (x)}{25 x+50 x^2-x^3-2 x^4+\left(-5 x-9 x^2+2 x^3\right) \log (x)} \, dx","Integrate[(-20 - 91*x + x^2 + 8*x^3 + (5 + 18*x - 6*x^2)*Log[x])/(25*x + 50*x^2 - x^3 - 2*x^4 + (-5*x - 9*x^2 + 2*x^3)*Log[x]),x]","-\log \left(-2 x^2+9 x+5\right)-\log (x)-\log (x-\log (x)+5)","-\log \left((5-x) x \left(x+\frac{1}{2}\right) (-x+\log (x)-5)\right)+e^5+5",1,"-Log[x] - Log[5 + 9*x - 2*x^2] - Log[5 + x - Log[x]]","A",1
1483,1,28,24,1.1998973,"\int \frac{e^{1+x+e^x x+e^{\frac{2 x}{5+x}} x-3 x^2} \left(25-140 x-59 x^2-6 x^3+e^{\frac{2 x}{5+x}} \left(25+20 x+x^2\right)+e^x \left(25+35 x+11 x^2+x^3\right)\right)}{25+10 x+x^2} \, dx","Integrate[(E^(1 + x + E^x*x + E^((2*x)/(5 + x))*x - 3*x^2)*(25 - 140*x - 59*x^2 - 6*x^3 + E^((2*x)/(5 + x))*(25 + 20*x + x^2) + E^x*(25 + 35*x + 11*x^2 + x^3)))/(25 + 10*x + x^2),x]","e^{-3 x^2+e^x x+e^{2-\frac{10}{x+5}} x+x+1}","e^{\left(-3 x+e^x+e^{\frac{2 x}{x+5}}+1\right) x+1}",1,"E^(1 + x + E^x*x + E^(2 - 10/(5 + x))*x - 3*x^2)","A",1
1484,1,17,17,0.0103633,"\int \frac{e^x (5+x) \log (3)}{2 \log (\log (2))} \, dx","Integrate[(E^x*(5 + x)*Log[3])/(2*Log[Log[2]]),x]","\frac{e^x (x+4) \log (3)}{2 \log (\log (2))}","\frac{e^x (x+4) \log (3)}{2 \log (\log (2))}",1,"(E^x*(4 + x)*Log[3])/(2*Log[Log[2]])","A",1
1485,1,22,23,0.0066508,"\int \frac{-64+10368 \log (4)-629856 \log ^2(4)+17006112 \log ^3(4)-172186884 \log ^4(4)}{x \log ^4(4)-4 x \log ^4(4) \log (x)+4 x \log ^4(4) \log ^2(x)} \, dx","Integrate[(-64 + 10368*Log[4] - 629856*Log[4]^2 + 17006112*Log[4]^3 - 172186884*Log[4]^4)/(x*Log[4]^4 - 4*x*Log[4]^4*Log[x] + 4*x*Log[4]^4*Log[x]^2),x]","-\frac{4 (2-81 \log (4))^4}{\log ^4(4) (2-4 \log (x))}","\left(\frac{2}{\log (4)}-81\right)^4 \left(1-\frac{4}{\frac{1}{\log (x)}-2}\right)",1,"(-4*(2 - 81*Log[4])^4)/(Log[4]^4*(2 - 4*Log[x]))","A",1
1486,1,31,37,0.3876853,"\int \frac{\exp \left(\frac{10-2 e^{e^{\frac{-2+5 x+4 x^2}{x}}}-\log \left(x^2\right)}{-5+e^{e^{\frac{-2+5 x+4 x^2}{x}}}}\right) \left(-15 x-e^{2 e^{\frac{-2+5 x+4 x^2}{x}}} x+e^{e^{\frac{-2+5 x+4 x^2}{x}}} \left(8 x+e^{\frac{-2+5 x+4 x^2}{x}} \left(2+4 x^2\right) \log \left(x^2\right)\right)\right)}{25 x^3-10 e^{e^{\frac{-2+5 x+4 x^2}{x}}} x^3+e^{2 e^{\frac{-2+5 x+4 x^2}{x}}} x^3} \, dx","Integrate[(E^((10 - 2*E^E^((-2 + 5*x + 4*x^2)/x) - Log[x^2])/(-5 + E^E^((-2 + 5*x + 4*x^2)/x)))*(-15*x - E^(2*E^((-2 + 5*x + 4*x^2)/x))*x + E^E^((-2 + 5*x + 4*x^2)/x)*(8*x + E^((-2 + 5*x + 4*x^2)/x)*(2 + 4*x^2)*Log[x^2])))/(25*x^3 - 10*E^E^((-2 + 5*x + 4*x^2)/x)*x^3 + E^(2*E^((-2 + 5*x + 4*x^2)/x))*x^3),x]","\frac{\left(x^2\right)^{\frac{1}{5-e^{e^{4 x-\frac{2}{x}+5}}}}}{e^2 x}","\frac{e^{\frac{\log \left(x^2\right)}{5-e^{e^{\frac{(2 x+1)^2+x-3}{x}}}}-2}}{x}",1,"(x^2)^(5 - E^E^(5 - 2/x + 4*x))^(-1)/(E^2*x)","A",1
1487,1,43,35,0.0819613,"\int \frac{-252+180 x+e^{2 x} \left(-50+150 x-150 x^2+50 x^3\right)+e^x \left(-270+630 x-510 x^2+150 x^3\right)}{-25+75 x-75 x^2+25 x^3} \, dx","Integrate[(-252 + 180*x + E^(2*x)*(-50 + 150*x - 150*x^2 + 50*x^3) + E^x*(-270 + 630*x - 510*x^2 + 150*x^3))/(-25 + 75*x - 75*x^2 + 25*x^3),x]","6 e^x+e^{2 x}-\frac{36}{5 (x-1)}+\frac{36}{25 (x-1)^2}+\frac{12 e^x}{5 (1-x)}","\left(x+e^x-\frac{(x-1)^2-x-\frac{x+5}{5 (1-x)}}{x}\right)^2",1,"6*E^x + E^(2*x) + (12*E^x)/(5*(1 - x)) + 36/(25*(-1 + x)^2) - 36/(5*(-1 + x))","A",1
1488,1,22,22,0.3874543,"\int \frac{e^{e^{\frac{2 e^2+(-4-x) \log (5)}{\log (5)}}} \left(-3-e^{\frac{2 e^2+(-4-x) \log (5)}{\log (5)}} x\right)}{x^4} \, dx","Integrate[(E^E^((2*E^2 + (-4 - x)*Log[5])/Log[5])*(-3 - E^((2*E^2 + (-4 - x)*Log[5])/Log[5])*x))/x^4,x]","\frac{e^{e^{-x-4+\frac{2 e^2}{\log (5)}}}}{x^3}","\frac{e^{e^{-x-4+\frac{2 e^2}{\log (5)}}}}{x^3}",1,"E^E^(-4 - x + (2*E^2)/Log[5])/x^3","A",1
1489,1,59,25,0.1472708,"\int \left(1-4 x^3+e^{4 x} \left(-18 x^2-48 x^3-54 x^4-24 x^5\right)+e^{8 x} \left(-18 x-126 x^2-252 x^3-306 x^4-198 x^5-72 x^6\right)\right) \, dx","Integrate[1 - 4*x^3 + E^(4*x)*(-18*x^2 - 48*x^3 - 54*x^4 - 24*x^5) + E^(8*x)*(-18*x - 126*x^2 - 252*x^3 - 306*x^4 - 198*x^5 - 72*x^6),x]","-x^4-6 e^{4 x} \left(x^5+x^4+x^3\right)-18 e^{8 x} \left(\frac{x^6}{2}+x^5+\frac{3 x^4}{2}+x^3+\frac{x^2}{2}\right)+x","-x^2 \left(3 e^{4 x} \left(x^2+x+1\right)+x\right)^2+x+3",1,"x - x^4 - 6*E^(4*x)*(x^3 + x^4 + x^5) - 18*E^(8*x)*(x^2/2 + x^3 + (3*x^4)/2 + x^5 + x^6/2)","B",1
1490,1,26,20,0.1360204,"\int \frac{-9+250 x+54 x^2+3 x^3+e^x \left(8 x+x^2\right)+x \log (x)}{243 x+54 x^2+3 x^3} \, dx","Integrate[(-9 + 250*x + 54*x^2 + 3*x^3 + E^x*(8*x + x^2) + x*Log[x])/(243*x + 54*x^2 + 3*x^3),x]","\frac{3 x^2+27 x+e^x-\log (x)-8}{3 (x+9)}","x+\frac{e^x-\log (x)-8}{3 (x+9)}",1,"(-8 + E^x + 27*x + 3*x^2 - Log[x])/(3*(9 + x))","A",1
1491,1,42,33,0.1228557,"\int \frac{48+12 x-48 x^2-9 x^3-9 x^4+e^{-4+x} \left(-24-24 x+6 x^2-12 x^3-6 x^4\right)+\left(-48+24 x+60 x^2+18 x^3+e^{-4+x} \left(24+48 x+30 x^2+6 x^3\right)\right) \log (x)}{64 x^2-32 x^3-44 x^4+12 x^5+9 x^6+e^{-8+2 x} \left(16 x^2+16 x^3+4 x^4\right)+e^{-4+x} \left(-64 x^2-16 x^3+32 x^4+12 x^5\right)} \, dx","Integrate[(48 + 12*x - 48*x^2 - 9*x^3 - 9*x^4 + E^(-4 + x)*(-24 - 24*x + 6*x^2 - 12*x^3 - 6*x^4) + (-48 + 24*x + 60*x^2 + 18*x^3 + E^(-4 + x)*(24 + 48*x + 30*x^2 + 6*x^3))*Log[x])/(64*x^2 - 32*x^3 - 44*x^4 + 12*x^5 + 9*x^6 + E^(-8 + 2*x)*(16*x^2 + 16*x^3 + 4*x^4) + E^(-4 + x)*(-64*x^2 - 16*x^3 + 32*x^4 + 12*x^5)),x]","-\frac{3 e^4 \left((x+2) \log (x)-x^2\right)}{x (x+2) \left(e^4 (3 x-4)+2 e^x\right)}","\frac{3 \left(\frac{x^2}{x+2}-\log (x)\right)}{x \left(3 x+2 e^{x-4}-4\right)}",1,"(-3*E^4*(-x^2 + (2 + x)*Log[x]))/(x*(2 + x)*(2*E^x + E^4*(-4 + 3*x)))","A",1
1492,1,73,26,0.0363134,"\int \frac{e^3 \left(160-40 x^4\right)+e^6 \left(-48 x+13 x^3+4 x^5+e^2 \left(-32+8 x^4\right)\right)}{25 x^3+e^3 \left(-10 e^2 x^3-10 x^4\right)+e^6 \left(e^4 x^3+2 e^2 x^4+x^5\right)} \, dx","Integrate[(E^3*(160 - 40*x^4) + E^6*(-48*x + 13*x^3 + 4*x^5 + E^2*(-32 + 8*x^4)))/(25*x^3 + E^3*(-10*E^2*x^3 - 10*x^4) + E^6*(E^4*x^3 + 2*E^2*x^4 + x^5)),x]","\frac{4 e^8 x^3-20 e^3 x^3+4 e^{10} x^2-40 e^5 x^2+100 x^2+e^6 \left(4 x^4-13 x^2+16\right)}{e^3 x^2 \left(e^3 x+e^5-5\right)}","\frac{\left(2 x-\frac{4}{x}\right)^2+3}{x+e^2-\frac{5}{e^3}}",1,"(100*x^2 - 40*E^5*x^2 + 4*E^10*x^2 - 20*E^3*x^3 + 4*E^8*x^3 + E^6*(16 - 13*x^2 + 4*x^4))/(E^3*x^2*(-5 + E^5 + E^3*x))","B",1
1493,1,16,16,0.2373427,"\int \frac{\left(30 x^2+60 x^3\right) \log \left(e^4+x+x^2\right)+\left(30 e^4 x+30 x^2+30 x^3\right) \log ^2\left(e^4+x+x^2\right)}{e^4+x+x^2} \, dx","Integrate[((30*x^2 + 60*x^3)*Log[E^4 + x + x^2] + (30*E^4*x + 30*x^2 + 30*x^3)*Log[E^4 + x + x^2]^2)/(E^4 + x + x^2),x]","15 x^2 \log ^2\left(x^2+x+e^4\right)","15 x^2 \log ^2\left(x^2+x+e^4\right)",1,"15*x^2*Log[E^4 + x + x^2]^2","A",1
1494,1,15,18,0.0012638,"\int \frac{-3+24 x+4 x^2}{3 x} \, dx","Integrate[(-3 + 24*x + 4*x^2)/(3*x),x]","\frac{2 x^2}{3}+8 x-\log (x)","\left(\frac{2 x}{3}+11\right) x-3 x-\log (x)-2",1,"8*x + (2*x^2)/3 - Log[x]","A",1
1495,1,82,28,0.0442248,"\int \frac{1}{8} \left(x+12 x^3-20 x^4+27 x^5-84 x^6+64 x^7+\left(8 x-12 x^2+48 x^3-140 x^4+96 x^5\right) \log (2)+\left(16 x-48 x^2+32 x^3\right) \log ^2(2)\right) \, dx","Integrate[(x + 12*x^3 - 20*x^4 + 27*x^5 - 84*x^6 + 64*x^7 + (8*x - 12*x^2 + 48*x^3 - 140*x^4 + 96*x^5)*Log[2] + (16*x - 48*x^2 + 32*x^3)*Log[2]^2)/8,x]","\frac{1}{96} x^2 \left(96 x^6-144 x^5+6 x^4 (9+32 \log (2))-48 x^3 (1+\log (128))+3 x^2 \left(12+32 \log ^2(2)+44 \log (2)+\log (16)\right)-4 x \left(32 \log ^2(2)+\log (16) (3+\log (16))\right)+6 (1+\log (16))^2\right)","(x-1)^2 x^4 \left(\frac{1}{4} \left(\frac{1}{x}+1\right)+x+\frac{\log (2)}{x}\right)^2",1,"(x^2*(-144*x^5 + 96*x^6 + 6*x^4*(9 + 32*Log[2]) + 6*(1 + Log[16])^2 + 3*x^2*(12 + 44*Log[2] + 32*Log[2]^2 + Log[16]) - 4*x*(32*Log[2]^2 + Log[16]*(3 + Log[16])) - 48*x^3*(1 + Log[128])))/96","B",0
1496,1,24,24,0.1029765,"\int \frac{e^{-x} \left(4 e^x+e^{e^{e^{-1+x}}} \left(4 x+e^{e^{-1+x}} \left(-4 e^{-1+x} x+4 e^{-1+2 x} x\right)\right)\right)}{x} \, dx","Integrate[(4*E^x + E^E^E^(-1 + x)*(4*x + E^E^(-1 + x)*(-4*E^(-1 + x)*x + 4*E^(-1 + 2*x)*x)))/(E^x*x),x]","4 \left(e^{e^{e^{x-1}}-x} \left(e^x-1\right)+\log (x)\right)","\log \left(x^4\right)+e^{e^{e^{x-1}}} \left(4-4 e^{-x}\right)",1,"4*(E^(E^E^(-1 + x) - x)*(-1 + E^x) + Log[x])","A",1
1497,1,15,22,0.0103803,"\int \frac{1}{3} \left(-1+e^x (-12-12 x)+6 x\right) \, dx","Integrate[(-1 + E^x*(-12 - 12*x) + 6*x)/3,x]","x^2-4 e^x x-\frac{x}{3}","-4 e^x x+\left(x-\frac{2}{x}\right) x-\frac{x}{3}-5",1,"-1/3*x - 4*E^x*x + x^2","A",1
1498,1,48,22,0.0329256,"\int \frac{-40 e^x+8 e^{2 x}+e^{\frac{x^2}{8}} x+e^{\frac{x^2}{16}} \left(e^x (-8-x)+5 x\right)}{100-40 e^x+4 e^{2 x}+4 e^{\frac{x^2}{8}}+e^{\frac{x^2}{16}} \left(40-8 e^x\right)+4 \log (4)} \, dx","Integrate[(-40*E^x + 8*E^(2*x) + E^(x^2/8)*x + E^(x^2/16)*(E^x*(-8 - x) + 5*x))/(100 - 40*E^x + 4*E^(2*x) + 4*E^(x^2/8) + E^(x^2/16)*(40 - 8*E^x) + 4*Log[4]),x]","\log \left(10 e^{\frac{x^2}{16}}+e^{\frac{x^2}{8}}-2 e^{\frac{x^2}{16}+x}-10 e^x+e^{2 x}+25+\log (4)\right)","\log \left(\left(e^{\frac{x^2}{16}}-e^x+5\right)^2+\log (4)\right)",1,"Log[25 - 10*E^x + E^(2*x) + 10*E^(x^2/16) + E^(x^2/8) - 2*E^(x + x^2/16) + Log[4]]","B",1
1499,1,14,16,0.0770678,"\int \frac{e^{-\frac{3}{27+4 \log (x)}} \left(741+216 \log (x)+16 \log ^2(x)\right)}{729+216 \log (x)+16 \log ^2(x)} \, dx","Integrate[(741 + 216*Log[x] + 16*Log[x]^2)/(E^(3/(27 + 4*Log[x]))*(729 + 216*Log[x] + 16*Log[x]^2)),x]","x e^{-\frac{3}{4 \log (x)+27}}","x e^{-\frac{1}{\frac{4 \log (x)}{3}+9}}",1,"x/E^(3/(27 + 4*Log[x]))","A",1
1500,1,18,19,0.0015575,"\int \frac{-1-25 x+18 x^2-3 x^3}{x} \, dx","Integrate[(-1 - 25*x + 18*x^2 - 3*x^3)/x,x]","-x^3+9 x^2-25 x-\log (x)","-x \left((x-5)^2+x\right)-\log (x \log (5))+6",1,"-25*x + 9*x^2 - x^3 - Log[x]","A",1
1501,1,25,22,0.0680405,"\int \frac{-4+e^x \left(631-x-50 \log (4)+\log ^2(4)\right)}{-2520+4 x+200 \log (4)-4 \log ^2(4)+e^x \left(630-x-50 \log (4)+\log ^2(4)\right)} \, dx","Integrate[(-4 + E^x*(631 - x - 50*Log[4] + Log[4]^2))/(-2520 + 4*x + 200*Log[4] - 4*Log[4]^2 + E^x*(630 - x - 50*Log[4] + Log[4]^2)),x]","\log \left(4-e^x\right)-\log \left(-x+630+\log ^2(4)-50 \log (4)\right)","\log \left(\frac{e^x-4}{-x+5+(25-\log (4))^2}\right)",1,"Log[4 - E^x] - Log[630 - x - 50*Log[4] + Log[4]^2]","A",1
1502,1,31,25,0.0866891,"\int \frac{2 x+x^2-5 \log (3)+e^x \left(x^2-x \log (3)\right)+\log (3) \log \left(e^{e^x} x\right)}{x^2} \, dx","Integrate[(2*x + x^2 - 5*Log[3] + E^x*(x^2 - x*Log[3]) + Log[3]*Log[E^E^x*x])/x^2,x]","x+e^x+2 \log (x)-\frac{\log (3) \log \left(e^{e^x} x\right)}{x}+\frac{4 \log (3)}{x}","x+\log (x)+\frac{(x-\log (3)) \left(\log \left(e^{e^x} x\right)-4\right)}{x}+625",1,"E^x + x + (4*Log[3])/x + 2*Log[x] - (Log[3]*Log[E^E^x*x])/x","A",1
1503,1,24,27,0.0121454,"\int \frac{-30 e^{2/5}+3 x+12 x^3+3 e^x x^3}{x^3} \, dx","Integrate[(-30*E^(2/5) + 3*x + 12*x^3 + 3*E^x*x^3)/x^3,x]","3 \left(\frac{5 e^{2/5}}{x^2}+4 x+e^x-\frac{1}{x}\right)","3 \left(-\left(\left(4-\frac{1}{x^2}\right) \left(5 e^{2/5}-x\right)\right)+e^x+4\right)",1,"3*(E^x + (5*E^(2/5))/x^2 - x^(-1) + 4*x)","A",1
1504,1,31,27,0.3728105,"\int \frac{16-64 x-8 x^2+32 x^3+x^4-4 x^5+e^{\frac{-32+x+8 x^2+x^3}{-4+x^2}} \left(16-4 x-8 x^2-13 x^3+x^4+x^5\right)}{32-16 x^2+2 x^4} \, dx","Integrate[(16 - 64*x - 8*x^2 + 32*x^3 + x^4 - 4*x^5 + E^((-32 + x + 8*x^2 + x^3)/(-4 + x^2))*(16 - 4*x - 8*x^2 - 13*x^3 + x^4 + x^5))/(32 - 16*x^2 + 2*x^4),x]","\frac{1}{2} \left(e^{\frac{x^3+8 x^2+x-32}{x^2-4}}-2 x+1\right) x","\frac{1}{2} \left(e^{-\frac{5 x}{4-x^2}+x+8}-2 x+1\right) x",1,"((1 + E^((-32 + x + 8*x^2 + x^3)/(-4 + x^2)) - 2*x)*x)/2","A",1
1505,1,26,26,0.3163702,"\int \frac{e^{\frac{2}{100 x+10 e^{1+e^{e^x}} x}} \left(-10-1500 x-15 e^{2+2 e^{e^x}} x+e^{1+e^{e^x}} \left(-1-300 x-e^{e^x+x} x\right)\right)}{500 x^5+100 e^{1+e^{e^x}} x^5+5 e^{2+2 e^{e^x}} x^5} \, dx","Integrate[(E^(2/(100*x + 10*E^(1 + E^E^x)*x))*(-10 - 1500*x - 15*E^(2 + 2*E^E^x)*x + E^(1 + E^E^x)*(-1 - 300*x - E^(E^x + x)*x)))/(500*x^5 + 100*E^(1 + E^E^x)*x^5 + 5*E^(2 + 2*E^E^x)*x^5),x]","\frac{e^{\frac{1}{5 \left(e^{e^{e^x}+1}+10\right) x}}}{x^3}","\frac{e^{\frac{1}{5 \left(e^{e^{e^x}+1}+10\right) x}}}{x^3}",1,"E^(1/(5*(10 + E^(1 + E^E^x))*x))/x^3","A",1
1506,1,44,33,0.1405234,"\int \frac{-45+39 x-56 x^2+40 x^3-11 x^4+x^5+\left(-45+30 x-170 x^2+119 x^3-58 x^4+13 x^5-x^6\right) \log (x)+\left(9 x^2-6 x^3+13 x^4-11 x^5-x^6-4 x^7-5 x^8+x^9\right) \log ^2(x)}{\left(45 x-39 x^2+56 x^3-40 x^4+11 x^5-x^6\right) \log (x)+\left(9 x^3-6 x^4+19 x^5-12 x^6+11 x^7-6 x^8+x^9\right) \log ^2(x)} \, dx","Integrate[(-45 + 39*x - 56*x^2 + 40*x^3 - 11*x^4 + x^5 + (-45 + 30*x - 170*x^2 + 119*x^3 - 58*x^4 + 13*x^5 - x^6)*Log[x] + (9*x^2 - 6*x^3 + 13*x^4 - 11*x^5 - x^6 - 4*x^7 - 5*x^8 + x^9)*Log[x]^2)/((45*x - 39*x^2 + 56*x^3 - 40*x^4 + 11*x^5 - x^6)*Log[x] + (9*x^3 - 6*x^4 + 19*x^5 - 12*x^6 + 11*x^7 - 6*x^8 + x^9)*Log[x]^2),x]","-\log \left(x^2+1\right)+\log \left(x^4 \log (x)+x^2 \log (x)-x+5\right)+x+\frac{9}{x-3}-\log (x)-\log (\log (x))","\log \left(\frac{5-x}{\left(x^3+x\right) \log (x)}+x\right)-\frac{x^2}{3-x}",1,"9/(-3 + x) + x - Log[x] - Log[1 + x^2] - Log[Log[x]] + Log[5 - x + x^2*Log[x] + x^4*Log[x]]","A",1
1507,1,47,27,0.1248157,"\int \frac{60+49 x-4 x^2-3 x^3+\left(-60-17 x+4 x^2+x^3+e^x \left(-45 x-9 x^2+5 x^3+x^4\right)\right) \log \left(15 x+8 x^2+x^3\right) \log \left(\log \left(15 x+8 x^2+x^3\right)\right)+\left(-15 x-8 x^2-x^3\right) \log \left(15 x+8 x^2+x^3\right) \log \left(\log \left(15 x+8 x^2+x^3\right)\right) \log \left(\frac{\log \left(\log \left(15 x+8 x^2+x^3\right)\right)}{x}\right)}{\left(15 x+8 x^2+x^3\right) \log \left(15 x+8 x^2+x^3\right) \log \left(\log \left(15 x+8 x^2+x^3\right)\right)} \, dx","Integrate[(60 + 49*x - 4*x^2 - 3*x^3 + (-60 - 17*x + 4*x^2 + x^3 + E^x*(-45*x - 9*x^2 + 5*x^3 + x^4))*Log[15*x + 8*x^2 + x^3]*Log[Log[15*x + 8*x^2 + x^3]] + (-15*x - 8*x^2 - x^3)*Log[15*x + 8*x^2 + x^3]*Log[Log[15*x + 8*x^2 + x^3]]*Log[Log[Log[15*x + 8*x^2 + x^3]]/x])/((15*x + 8*x^2 + x^3)*Log[15*x + 8*x^2 + x^3]*Log[Log[15*x + 8*x^2 + x^3]]),x]","4 \log \left(\log \left(\log \left(x \left(x^2+8 x+15\right)\right)\right)\right)-x \log \left(\frac{\log \left(\log \left(x \left(x^2+8 x+15\right)\right)\right)}{x}\right)+e^x (x-4)-4 \log (x)","(4-x) \left(\log \left(\frac{\log (\log (x (x+3) (x+5)))}{x}\right)-e^x\right)",1,"E^x*(-4 + x) - 4*Log[x] + 4*Log[Log[Log[x*(15 + 8*x + x^2)]]] - x*Log[Log[Log[x*(15 + 8*x + x^2)]]/x]","A",1
1508,1,25,25,0.3061495,"\int \frac{-25 x+e^{\frac{1}{5} \left(-26-5 x^2+5 \log \left(x^2\right)\right)} \left(-250+250 x^2\right)}{25 e^{\frac{2}{5} \left(-26-5 x^2+5 \log \left(x^2\right)\right)} x+10 e^{\frac{1}{5} \left(-26-5 x^2+5 \log \left(x^2\right)\right)} x^2+x^3} \, dx","Integrate[(-25*x + E^((-26 - 5*x^2 + 5*Log[x^2])/5)*(-250 + 250*x^2))/(25*E^((2*(-26 - 5*x^2 + 5*Log[x^2]))/5)*x + 10*E^((-26 - 5*x^2 + 5*Log[x^2])/5)*x^2 + x^3),x]","-25 \left(\frac{5}{e^{x^2+\frac{26}{5}}+5 x}-\frac{1}{x}\right)","\frac{5}{e^{-x^2-\frac{26}{5}} x^2+\frac{x}{5}}",1,"-25*(-x^(-1) + 5/(E^(26/5 + x^2) + 5*x))","A",1
1509,1,51,21,0.0318625,"\int \frac{1+e^5 (2-16 x)-6 x-16 x^2-32 x \log \left(1+2 e^5+2 x\right)+\left(-8-16 e^5-16 x\right) \log ^2\left(1+2 e^5+2 x\right)-32 \log ^3\left(1+2 e^5+2 x\right)}{1+2 e^5+2 x} \, dx","Integrate[(1 + E^5*(2 - 16*x) - 6*x - 16*x^2 - 32*x*Log[1 + 2*E^5 + 2*x] + (-8 - 16*E^5 - 16*x)*Log[1 + 2*E^5 + 2*x]^2 - 32*Log[1 + 2*E^5 + 2*x]^3)/(1 + 2*E^5 + 2*x),x]","-4 x^2+x-4 \log ^4\left(2 x+2 e^5+1\right)-8 x \log ^2\left(2 x+2 e^5+1\right)+4 e^{10}+5 e^5+\frac{3}{2}","x-4 \left(x+\log ^2\left(2 \left(x+e^5-1\right)+3\right)\right)^2",1,"3/2 + 5*E^5 + 4*E^10 + x - 4*x^2 - 8*x*Log[1 + 2*E^5 + 2*x]^2 - 4*Log[1 + 2*E^5 + 2*x]^4","B",1
1510,1,24,24,0.7034001,"\int \frac{e^{-8-4 x} \left(-64-32 x-4 x^2+\left(-224 x-120 x^2-16 x^3\right) \log (x)+\left(-96-48 x-6 x^2+\left(-224 x-120 x^2-16 x^3\right) \log (x)\right) \log (\log (x))+\left(-32-16 x-2 x^2+\left(-56 x-30 x^2-4 x^3\right) \log (x)\right) \log ^2(\log (x))\right)}{x \log ^3(x)} \, dx","Integrate[(E^(-8 - 4*x)*(-64 - 32*x - 4*x^2 + (-224*x - 120*x^2 - 16*x^3)*Log[x] + (-96 - 48*x - 6*x^2 + (-224*x - 120*x^2 - 16*x^3)*Log[x])*Log[Log[x]] + (-32 - 16*x - 2*x^2 + (-56*x - 30*x^2 - 4*x^3)*Log[x])*Log[Log[x]]^2))/(x*Log[x]^3),x]","\frac{e^{-4 (x+2)} (x+4)^2 (\log (\log (x))+2)^2}{\log ^2(x)}","\frac{e^{-4 x-8} (x+4)^2 (\log (\log (x))+2)^2}{\log ^2(x)}",1,"((4 + x)^2*(2 + Log[Log[x]])^2)/(E^(4*(2 + x))*Log[x]^2)","A",1
1511,0,0,26,0.5239923,"\int \frac{\left(e^{x^2} (-2+4 x)+(-2+4 x) \log (4)\right) \log \left(x-x^2\right)+\left(e^{x^2} \left(-1+x-2 x^2+2 x^3\right)+(-1+x) \log (4)\right) \log ^2\left(x-x^2\right)}{-10+10 x+(-1+x) \log (3)} \, dx","Integrate[((E^x^2*(-2 + 4*x) + (-2 + 4*x)*Log[4])*Log[x - x^2] + (E^x^2*(-1 + x - 2*x^2 + 2*x^3) + (-1 + x)*Log[4])*Log[x - x^2]^2)/(-10 + 10*x + (-1 + x)*Log[3]),x]","\int \frac{\left(e^{x^2} (-2+4 x)+(-2+4 x) \log (4)\right) \log \left(x-x^2\right)+\left(e^{x^2} \left(-1+x-2 x^2+2 x^3\right)+(-1+x) \log (4)\right) \log ^2\left(x-x^2\right)}{-10+10 x+(-1+x) \log (3)} \, dx","\frac{x \left(e^{x^2}+\log (4)\right) \log ^2\left(x-x^2\right)}{10+\log (3)}",1,"Integrate[((E^x^2*(-2 + 4*x) + (-2 + 4*x)*Log[4])*Log[x - x^2] + (E^x^2*(-1 + x - 2*x^2 + 2*x^3) + (-1 + x)*Log[4])*Log[x - x^2]^2)/(-10 + 10*x + (-1 + x)*Log[3]), x]","F",-1
1512,1,30,23,0.1766998,"\int \frac{x^4-2 x^3 \log (2)+x^2 \log ^2(2)+e^{\frac{10}{-x^2+x \log (2)}} (-20 x+10 \log (2))}{x^4-2 x^3 \log (2)+x^2 \log ^2(2)} \, dx","Integrate[(x^4 - 2*x^3*Log[2] + x^2*Log[2]^2 + E^(10/(-x^2 + x*Log[2]))*(-20*x + 10*Log[2]))/(x^4 - 2*x^3*Log[2] + x^2*Log[2]^2),x]","x-e^{\frac{10}{x \log (2)}-\frac{10}{\log (2) (x-\log (2))}}","x-e^{\frac{10}{x (\log (2)-x)}}-\log (5)",1,"-E^(10/(x*Log[2]) - 10/((x - Log[2])*Log[2])) + x","A",1
1513,1,35,34,0.4997129,"\int \frac{e^{-5-x} \left(14876160-14876160 x-5963520 x^2-838656 x^3-75776 x^4-3584 x^5+256 x^6\right)}{3376772100+2382858660 x+744859249 x^2+142613992 x^3+19810676 x^4+1973216 x^5+118070 x^6+3128 x^7-160 x^8-36 x^9+x^{10}} \, dx","Integrate[(E^(-5 - x)*(14876160 - 14876160*x - 5963520*x^2 - 838656*x^3 - 75776*x^4 - 3584*x^5 + 256*x^6))/(3376772100 + 2382858660*x + 744859249*x^2 + 142613992*x^3 + 19810676*x^4 + 1973216*x^5 + 118070*x^6 + 3128*x^7 - 160*x^8 - 36*x^9 + x^10),x]","-\frac{256 e^{-x-5} x}{x^5-18 x^4-242 x^3-2792 x^2-20503 x-58110}","\frac{e^{-x-5} x}{(30-x) \left(\left(\frac{1}{16} (x+3)^2+2\right)^2+x+1\right)}",1,"(-256*E^(-5 - x)*x)/(-58110 - 20503*x - 2792*x^2 - 242*x^3 - 18*x^4 + x^5)","A",1
1514,1,22,22,0.2101817,"\int \frac{-\log (x)+e^{10+2 x-x^2 \log \left(\log ^2(x)\right)} \left(-2 x+2 \log (x)-2 x \log (x) \log \left(\log ^2(x)\right)\right)}{\log (x)} \, dx","Integrate[(-Log[x] + E^(10 + 2*x - x^2*Log[Log[x]^2])*(-2*x + 2*Log[x] - 2*x*Log[x]*Log[Log[x]^2]))/Log[x],x]","e^{2 x+10} \log ^2(x)^{-x^2}-x","e^{x^2 \left(-\log \left(\log ^2(x)\right)\right)+2 x+10}-x+8",1,"-x + E^(10 + 2*x)/(Log[x]^2)^x^2","A",1
1515,1,33,32,0.0024074,"\int \left(8+\left(-27-12 x+15 x^2+4 x^3\right) \log (\log (3))\right) \, dx","Integrate[8 + (-27 - 12*x + 15*x^2 + 4*x^3)*Log[Log[3]],x]","x^4 \log (\log (3))+5 x^3 \log (\log (3))-6 x^2 \log (\log (3))+8 x-27 x \log (\log (3))","(x+5) \left(8-\left(x \left(-x^2+x+4\right)-(1-x)^2-2\right) \log (\log (3))\right)",1,"8*x - 27*x*Log[Log[3]] - 6*x^2*Log[Log[3]] + 5*x^3*Log[Log[3]] + x^4*Log[Log[3]]","A",1
1516,1,30,28,0.5935368,"\int \frac{56+32 x-2 x^2+(20+12 x) \log \left(2 x+x^2\right)+(2+x) \log ^2\left(2 x+x^2\right)}{10+45 x+18 x^2-x^3+\left(16 x+8 x^2\right) \log \left(2 x+x^2\right)+\left(2 x+x^2\right) \log ^2\left(2 x+x^2\right)} \, dx","Integrate[(56 + 32*x - 2*x^2 + (20 + 12*x)*Log[2*x + x^2] + (2 + x)*Log[2*x + x^2]^2)/(10 + 45*x + 18*x^2 - x^3 + (16*x + 8*x^2)*Log[2*x + x^2] + (2*x + x^2)*Log[2*x + x^2]^2),x]","\log \left(-x^2+20 x+x \log ^2(x (x+2))+8 x \log (x (x+2))+5\right)","\log \left(\frac{x \left(x-(\log (x (x+2))+4)^2-4\right)-5}{e^3 \log (25)}\right)",1,"Log[5 + 20*x - x^2 + 8*x*Log[x*(2 + x)] + x*Log[x*(2 + x)]^2]","A",1
1517,1,34,31,0.0871751,"\int \frac{e^4 \left(-e^3-2 x^2\right)+e^{60 x^2} \left(3 x+120 e^3 x-120 x^3\right)+\left(-e^4 x^2+e^{60 x^2} \left(2 x-120 x^3\right)\right) \log (x)}{e^{120 x^2}-2 e^{4+60 x^2} x+e^8 x^2} \, dx","Integrate[(E^4*(-E^3 - 2*x^2) + E^(60*x^2)*(3*x + 120*E^3*x - 120*x^3) + (-(E^4*x^2) + E^(60*x^2)*(2*x - 120*x^3))*Log[x])/(E^(120*x^2) - 2*E^(4 + 60*x^2)*x + E^8*x^2),x]","-\frac{-x^2+x^2 (-\log (x))+e^3}{e^{60 x^2}-e^4 x}","\frac{e^3-x^2 (\log (x)+1)}{e^4 x-e^{60 x^2}}",1,"-((E^3 - x^2 - x^2*Log[x])/(E^(60*x^2) - E^4*x))","A",1
1518,1,52,34,1.1720607,"\int \frac{\left(6 x-6 x^2\right) \log (1-x)+(9-9 x) \log (2) \log ^2(1-x)+\left(3 x^2+\left(3 x-3 x^2\right) \log (1-x)+e^5 (-6+6 x) \log (2) \log ^2(1-x)\right) \log \left(x^2\right)+\left(-e^5 x^2+e^5 \left(-x+x^2\right) \log (1-x)+e^{10} (1-x) \log (2) \log ^2(1-x)\right) \log ^2\left(x^2\right)}{\left(-9 x+9 x^2\right) \log (2) \log ^2(1-x)+e^5 \left(6 x-6 x^2\right) \log (2) \log ^2(1-x) \log \left(x^2\right)+e^{10} \left(-x+x^2\right) \log (2) \log ^2(1-x) \log ^2\left(x^2\right)} \, dx","Integrate[((6*x - 6*x^2)*Log[1 - x] + (9 - 9*x)*Log[2]*Log[1 - x]^2 + (3*x^2 + (3*x - 3*x^2)*Log[1 - x] + E^5*(-6 + 6*x)*Log[2]*Log[1 - x]^2)*Log[x^2] + (-(E^5*x^2) + E^5*(-x + x^2)*Log[1 - x] + E^10*(1 - x)*Log[2]*Log[1 - x]^2)*Log[x^2]^2)/((-9*x + 9*x^2)*Log[2]*Log[1 - x]^2 + E^5*(6*x - 6*x^2)*Log[2]*Log[1 - x]^2*Log[x^2] + E^10*(-x + x^2)*Log[2]*Log[1 - x]^2*Log[x^2]^2),x]","\frac{3 x}{e^5 \log (2) \log (1-x) \left(e^5 \log \left(x^2\right)-3\right)}+\frac{x}{e^5 \log (2) \log (1-x)}-\log (x)","\frac{x}{\log (2) \log (1-x) \left(e^5-\frac{3}{\log \left(x^2\right)}\right)}-\log (x)+1",1,"x/(E^5*Log[2]*Log[1 - x]) - Log[x] + (3*x)/(E^5*Log[2]*Log[1 - x]*(-3 + E^5*Log[x^2]))","A",1
1519,1,23,19,0.3131636,"\int \frac{-7 x+e^x \left(-x+x^2\right)-2 \log (x)+2 \log ^2(x)}{-7 x^2-e^x x^2+x \log ^2(x)} \, dx","Integrate[(-7*x + E^x*(-x + x^2) - 2*Log[x] + 2*Log[x]^2)/(-7*x^2 - E^x*x^2 + x*Log[x]^2),x]","2 \log (x)-\log \left(e^x x+7 x-\log ^2(x)\right)","\log \left(\frac{x}{e^x-\frac{\log ^2(x)}{x}+7}\right)",1,"2*Log[x] - Log[7*x + E^x*x - Log[x]^2]","A",1
1520,1,24,21,0.2838087,"\int \frac{e^{\frac{-x^2+8 \log (4)}{x}} \left(5 x^2 \log (2)+40 \log (2) \log (4)\right)}{x^2+2 e^{\frac{-x^2+8 \log (4)}{x}} x^2+e^{\frac{2 \left(-x^2+8 \log (4)\right)}{x}} x^2} \, dx","Integrate[(E^((-x^2 + 8*Log[4])/x)*(5*x^2*Log[2] + 40*Log[2]*Log[4]))/(x^2 + 2*E^((-x^2 + 8*Log[4])/x)*x^2 + E^((2*(-x^2 + 8*Log[4]))/x)*x^2),x]","-\frac{5\ 4^{8/x} \log (2)}{4^{8/x}+e^x}","\frac{5 \log (2)}{e^{\frac{8 \log (4)}{x}-x}+1}",1,"(-5*4^(8/x)*Log[2])/(4^(8/x) + E^x)","A",1
1521,1,26,26,0.1712909,"\int \frac{84 x+e^{x/21} (42+2 x)+e^x \left(7 e^{2 x/21} x^2+14 e^{x/21} x^3+7 x^4\right)}{7 e^{2 x/21} x^2+14 e^{x/21} x^3+7 x^4} \, dx","Integrate[(84*x + E^(x/21)*(42 + 2*x) + E^x*(7*E^((2*x)/21)*x^2 + 14*E^(x/21)*x^3 + 7*x^4))/(7*E^((2*x)/21)*x^2 + 14*E^(x/21)*x^3 + 7*x^4),x]","\frac{1}{7} \left(7 e^x-\frac{42}{x \left(x+e^{x/21}\right)}\right)","e^x-2 \left(\frac{3}{x \left(x+e^{x/21}\right)}+e^4\right)",1,"(7*E^x - 42/(x*(E^(x/21) + x)))/7","A",1
1522,1,34,32,3.4861497,"\int \frac{e^{2 x} \left(120-480 x+400 x^2-40 x^4+e^{2/3} \left(-8+24 x-24 x^2+8 x^3\right)\right)}{64000-72000 x+3000 x^2+14625 x^3-375 x^4-1125 x^5-125 x^6+e^2 \left(-1+3 x-3 x^2+x^3\right)+e^{4/3} \left(120-285 x+195 x^2-15 x^3-15 x^4\right)+e^{2/3} \left(-4800+8400 x-3075 x^2-975 x^3+375 x^4+75 x^5\right)} \, dx","Integrate[(E^(2*x)*(120 - 480*x + 400*x^2 - 40*x^4 + E^(2/3)*(-8 + 24*x - 24*x^2 + 8*x^3)))/(64000 - 72000*x + 3000*x^2 + 14625*x^3 - 375*x^4 - 1125*x^5 - 125*x^6 + E^2*(-1 + 3*x - 3*x^2 + x^3) + E^(4/3)*(120 - 285*x + 195*x^2 - 15*x^3 - 15*x^4) + E^(2/3)*(-4800 + 8400*x - 3075*x^2 - 975*x^3 + 375*x^4 + 75*x^5)),x]","\frac{4 e^{2 x} (x-1)^2}{\left(e^{2/3} (x-1)-5 \left(x^2+3 x-8\right)\right)^2}","\frac{4 e^{2 x}}{\left(e^{2/3}-5 \left(-\frac{5-x}{x-1}+x+3\right)\right)^2}",1,"(4*E^(2*x)*(-1 + x)^2)/(E^(2/3)*(-1 + x) - 5*(-8 + 3*x + x^2))^2","A",1
1523,1,47,31,0.0199881,"\int \frac{-16 x^3+54 x^4-66 x^5+26 x^6+2 x^7}{-64+336 x-540 x^2+175 x^3+135 x^4+21 x^5+x^6} \, dx","Integrate[(-16*x^3 + 54*x^4 - 66*x^5 + 26*x^6 + 2*x^7)/(-64 + 336*x - 540*x^2 + 175*x^3 + 135*x^4 + 21*x^5 + x^6),x]","2 \left(\frac{x^2}{2}-\frac{4 (233 x-574)}{x^2+7 x-4}-\frac{8 (1815 x-964)}{\left(x^2+7 x-4\right)^2}-8 x\right)","\frac{x^2}{\left(\frac{4}{x}-\frac{x+3}{1-x}\right)^2}-\log ^2(2)",1,"2*(-8*x + x^2/2 - (8*(-964 + 1815*x))/(-4 + 7*x + x^2)^2 - (4*(-574 + 233*x))/(-4 + 7*x + x^2))","A",1
1524,1,50,25,0.0267886,"\int \frac{16 x-8 x^2+\left(16 x-8 x^2+4 x^3-3 x^4\right) \log (7)}{\left(4-8 x+4 x^2\right) \log (7)} \, dx","Integrate[(16*x - 8*x^2 + (16*x - 8*x^2 + 4*x^3 - 3*x^4)*Log[7])/((4 - 8*x + 4*x^2)*Log[7]),x]","\frac{(x-1)^3 (-\log (7))-4 (x-1)^2 \log (7)-2 (x-1) (4+7 \log (7))+\frac{-8-9 \log (7)}{x-1}}{4 \log (7)}","\frac{2 x \left(\frac{x^3}{8}+x+\frac{x}{\log (7)}\right)}{1-x}",1,"((-8 - 9*Log[7])/(-1 + x) - 4*(-1 + x)^2*Log[7] - (-1 + x)^3*Log[7] - 2*(-1 + x)*(4 + 7*Log[7]))/(4*Log[7])","A",1
1525,1,33,28,0.3648306,"\int \frac{2 x-6 x^2+40 x^3-108 x^4+288 x^5-648 x^6+864 x^7-1296 x^8+864 x^9+e^{2 x} \left(72-864 x+432 x^2\right)+e^x \left(-12+12 x+12 x^2+576 x^4-432 x^5+432 x^6\right)}{1+18 x^2+108 x^4+216 x^6} \, dx","Integrate[(2*x - 6*x^2 + 40*x^3 - 108*x^4 + 288*x^5 - 648*x^6 + 864*x^7 - 1296*x^8 + 864*x^9 + E^(2*x)*(72 - 864*x + 432*x^2) + E^x*(-12 + 12*x + 12*x^2 + 576*x^4 - 432*x^5 + 432*x^6))/(1 + 18*x^2 + 108*x^4 + 216*x^6),x]","\frac{\left(x \left(6 x^3-6 x^2+x-1\right)+6 e^x\right)^2}{\left(6 x^2+1\right)^2}","x^2 \left(\frac{\frac{e^x}{x^2+\frac{1}{6}}+x}{x}+x-2\right)^2",1,"(6*E^x + x*(-1 + x - 6*x^2 + 6*x^3))^2/(1 + 6*x^2)^2","A",1
1526,1,36,40,0.138751,"\int \frac{45 e^{-6+2 x} x+e^{-6+2 x} \left(90 x-90 x^2\right) \log (x) \log (\log (x))+\left(\left(-15 x+9 x^2\right) \log (x)+30 x \log ^2(x)\right) \log ^2(\log (x))}{225 e^{-12+4 x} \log (x)+\left(90 e^{-6+2 x} x \log (x)+150 e^{-6+2 x} \log ^2(x)\right) \log (\log (x))+\left(9 x^2 \log (x)+30 x \log ^2(x)+25 \log ^3(x)\right) \log ^2(\log (x))} \, dx","Integrate[(45*E^(-6 + 2*x)*x + E^(-6 + 2*x)*(90*x - 90*x^2)*Log[x]*Log[Log[x]] + ((-15*x + 9*x^2)*Log[x] + 30*x*Log[x]^2)*Log[Log[x]]^2)/(225*E^(-12 + 4*x)*Log[x] + (90*E^(-6 + 2*x)*x*Log[x] + 150*E^(-6 + 2*x)*Log[x]^2)*Log[Log[x]] + (9*x^2*Log[x] + 30*x*Log[x]^2 + 25*Log[x]^3)*Log[Log[x]]^2),x]","\frac{3 e^6 x^2 \log (\log (x))}{15 e^{2 x}+e^6 (3 x+5 \log (x)) \log (\log (x))}","\frac{x}{5 \left(\frac{\frac{x}{5}+\frac{\log (x)}{3}}{x}+\frac{e^{2 x-6}}{x \log (\log (x))}\right)}",1,"(3*E^6*x^2*Log[Log[x]])/(15*E^(2*x) + E^6*(3*x + 5*Log[x])*Log[Log[x]])","A",1
1527,1,15,16,0.0017855,"\int \frac{1}{25} (-180+81 x+162 x \log (x)) \, dx","Integrate[(-180 + 81*x + 162*x*Log[x])/25,x]","\frac{81}{25} x^2 \log (x)-\frac{36 x}{5}","9 \left(x+\frac{9}{25} x (x \log (x)-5)+3\right)",1,"(-36*x)/5 + (81*x^2*Log[x])/25","A",1
1528,1,45,30,0.0851944,"\int \frac{-65536 x^2-163840 x^3-204800 x^4-163840 x^5-92160 x^6-37888 x^7-11520 x^8-2560 x^9-400 x^{10}-40 x^{11}-2 x^{12}+\left(32768+146440 x+265716 x^2+287097 x^3+210432 x^4+111344 x^5+43704 x^6+12806 x^7+2760 x^8+420 x^9+41 x^{10}+2 x^{11}\right) \log (5)}{\left(32768 x+81920 x^2+102400 x^3+81920 x^4+46080 x^5+18944 x^6+5760 x^7+1280 x^8+200 x^9+20 x^{10}+x^{11}\right) \log (5)} \, dx","Integrate[(-65536*x^2 - 163840*x^3 - 204800*x^4 - 163840*x^5 - 92160*x^6 - 37888*x^7 - 11520*x^8 - 2560*x^9 - 400*x^10 - 40*x^11 - 2*x^12 + (32768 + 146440*x + 265716*x^2 + 287097*x^3 + 210432*x^4 + 111344*x^5 + 43704*x^6 + 12806*x^7 + 2760*x^8 + 420*x^9 + 41*x^10 + 2*x^11)*Log[5])/((32768*x + 81920*x^2 + 102400*x^3 + 81920*x^4 + 46080*x^5 + 18944*x^6 + 5760*x^7 + 1280*x^8 + 200*x^9 + 20*x^10 + x^11)*Log[5]),x]","\frac{x \left(\left(\frac{1}{\left(x^2+4 x+8\right)^4}-\frac{2}{\left(x^2+4 x+8\right)^2}\right) \log (5)-x+\log (25)\right)+\log (5) \log (x)}{\log (5)}","-\frac{x^2}{\log (5)}+\left(1-\frac{1}{\left((x+2)^2+4\right)^2}\right)^2 x+x+\log (x)",1,"(x*(-x + ((8 + 4*x + x^2)^(-4) - 2/(8 + 4*x + x^2)^2)*Log[5] + Log[25]) + Log[5]*Log[x])/Log[5]","A",1
1529,1,19,19,1.203114,"\int \frac{e^{3+3^{\frac{1}{25+x}}-e^x-2 x} \left(-1250-100 x-2 x^2+e^x \left(-625-50 x-x^2\right)-3^{\frac{1}{25+x}} \log (3)\right)}{625+50 x+x^2} \, dx","Integrate[(E^(3 + 3^(25 + x)^(-1) - E^x - 2*x)*(-1250 - 100*x - 2*x^2 + E^x*(-625 - 50*x - x^2) - 3^(25 + x)^(-1)*Log[3]))/(625 + 50*x + x^2),x]","e^{-2 x-e^x+3^{\frac{1}{x+25}}+3}","e^{-2 x-e^x+3^{\frac{1}{x+25}}+3}",1,"E^(3 + 3^(25 + x)^(-1) - E^x - 2*x)","A",1
1530,1,39,24,0.292173,"\int \frac{-\log \left(\frac{9}{x^2}\right)+\log ^{e^2 x}\left(\frac{9}{x^2}\right) \left(-2 e^2 x+e^2 x \log \left(\frac{9}{x^2}\right) \log \left(\log \left(\frac{9}{x^2}\right)\right)\right)}{x \log ^{1+e^2 x}\left(\frac{9}{x^2}\right)-x \log \left(\frac{9}{x^2}\right) \log (x)} \, dx","Integrate[(-Log[9/x^2] + Log[9/x^2]^(E^2*x)*(-2*E^2*x + E^2*x*Log[9/x^2]*Log[Log[9/x^2]]))/(x*Log[9/x^2]^(1 + E^2*x) - x*Log[9/x^2]*Log[x]),x]","\log \left(-2 \log ^{e^2 x}\left(\frac{9}{x^2}\right)-\log \left(\frac{9}{x^2}\right)+2 \left(\frac{1}{2} \log \left(\frac{9}{x^2}\right)+\log (x)\right)\right)","\log \left(\frac{1}{3} \left(\log ^{e^2 x}\left(\frac{9}{x^2}\right)-\log (x)\right)\right)+3",1,"Log[-Log[9/x^2] - 2*Log[9/x^2]^(E^2*x) + 2*(Log[9/x^2]/2 + Log[x])]","A",1
1531,1,9,9,0.0007609,"\int e^x \left(1+e^5\right) \, dx","Integrate[E^x*(1 + E^5),x]","\left(1+e^5\right) e^x","\left(1+e^5\right) e^x",1,"E^x*(1 + E^5)","A",1
1532,1,16,14,0.000883,"\int \frac{1+4 e^9}{13 e^9 x} \, dx","Integrate[(1 + 4*E^9)/(13*E^9*x),x]","\frac{\left(1+4 e^9\right) \log (x)}{13 e^9}","\frac{1}{13} \left(\left(4+\frac{1}{e^9}\right) \log (x)+4\right)",1,"((1 + 4*E^9)*Log[x])/(13*E^9)","A",1
1533,1,24,19,0.0984225,"\int \frac{-100-50 x+\frac{(-4-2 x) x^2}{e^{10}}+\frac{x (40+20 x)}{e^5}+e^{\frac{1}{-5+\frac{x}{e^5}}} \left(25-\frac{11 x}{e^5}+\frac{x^2}{e^{10}}\right)}{-100 x-25 x^2+\frac{x^2 \left(-4 x-x^2\right)}{e^{10}}+\frac{x \left(40 x+10 x^2\right)}{e^5}+e^{\frac{1}{-5+\frac{x}{e^5}}} \left(25 x-\frac{10 x^2}{e^5}+\frac{x^3}{e^{10}}\right)} \, dx","Integrate[(-100 - 50*x + ((-4 - 2*x)*x^2)/E^10 + (x*(40 + 20*x))/E^5 + E^(-5 + x/E^5)^(-1)*(25 - (11*x)/E^5 + x^2/E^10))/(-100*x - 25*x^2 + (x^2*(-4*x - x^2))/E^10 + (x*(40*x + 10*x^2))/E^5 + E^(-5 + x/E^5)^(-1)*(25*x - (10*x^2)/E^5 + x^3/E^10)),x]","\log (x)+\log \left(x-e^{\frac{e^5}{x-5 e^5}}+4\right)","\log \left(\left(-x+e^{\frac{1}{\frac{x}{e^5}-5}}-4\right) x\right)",1,"Log[x] + Log[4 - E^(E^5/(-5*E^5 + x)) + x]","A",1
1534,1,21,13,0.0109176,"\int \frac{1}{4} e^{-4+2 x} \left(128+40320 e^{2-x}\right) \, dx","Integrate[(E^(-4 + 2*x)*(128 + 40320*E^(2 - x)))/4,x]","32 \left(315 e^{x-2}+\frac{1}{2} e^{2 x-4}\right)","4 \left(2 e^{x-2}+630\right)^2",1,"32*(315*E^(-2 + x) + E^(-4 + 2*x)/2)","A",1
1535,1,24,31,0.0619677,"\int \frac{1}{4} \left(121-44 e^3+4 e^6+e^{-6+2 x} (1+2 x)+e^{-3+x} \left(22+e^3 (-4-4 x)+22 x\right)\right) \, dx","Integrate[(121 - 44*E^3 + 4*E^6 + E^(-6 + 2*x)*(1 + 2*x) + E^(-3 + x)*(22 + E^3*(-4 - 4*x) + 22*x))/4,x]","\frac{\left(e^x+11 e^3-2 e^6\right)^2 x}{4 e^6}","x \left(\frac{1}{2} \left(2 (-x-5)-e^{x-3}+2 x-1\right)+e^3\right)^2",1,"((11*E^3 - 2*E^6 + E^x)^2*x)/(4*E^6)","A",1
1536,1,28,25,0.3075883,"\int \frac{8+e^{\frac{3+x}{2}} (-4-36 x)+e^x \left(3 e^{\frac{3+x}{2}} x+6 x^2\right)+\left(-8-72 x+6 e^x x\right) \log \left(\frac{4+36 x-3 e^x x}{x}\right)}{-8-72 x+6 e^x x} \, dx","Integrate[(8 + E^((3 + x)/2)*(-4 - 36*x) + E^x*(3*E^((3 + x)/2)*x + 6*x^2) + (-8 - 72*x + 6*E^x*x)*Log[(4 + 36*x - 3*E^x*x)/x])/(-8 - 72*x + 6*E^x*x),x]","e^{\frac{x}{2}+\frac{3}{2}}+x \log \left(4 \left(\frac{1}{x}+9\right)-3 e^x\right)","e^{\frac{x+3}{2}}+x \log \left(-3 e^x+\frac{4}{x}+36\right)",1,"E^(3/2 + x/2) + x*Log[-3*E^x + 4*(9 + x^(-1))]","A",1
1537,1,19,23,0.1196788,"\int \frac{-x+e^{e^{e^{\frac{1-x^2}{x}}}} \left(x+e^{e^{\frac{1-x^2}{x}}+\frac{1-x^2}{x}} \left(-1-x^2\right)\right)+x \log (2)}{x} \, dx","Integrate[(-x + E^E^E^((1 - x^2)/x)*(x + E^(E^((1 - x^2)/x) + (1 - x^2)/x)*(-1 - x^2)) + x*Log[2])/x,x]","x \left(e^{e^{e^{\frac{1}{x}-x}}}-1+\log (2)\right)","-x+x \left(e^{e^{e^{\frac{1}{x}-x}}}+\log (2)\right)+1",1,"x*(-1 + E^E^E^(x^(-1) - x) + Log[2])","A",1
1538,1,25,29,0.0237243,"\int \frac{e^{-22-e^4+18 x-2 x^2} \left(-2+18 x-4 x^2\right) \log ^2(5)}{x^3} \, dx","Integrate[(E^(-22 - E^4 + 18*x - 2*x^2)*(-2 + 18*x - 4*x^2)*Log[5]^2)/x^3,x]","\frac{e^{-2 x^2+18 x-e^4-22} \log ^2(5)}{x^2}","\frac{e^{-2 (4-x)^2+2 x-e^4+10} \log ^2(5)}{x^2}",1,"(E^(-22 - E^4 + 18*x - 2*x^2)*Log[5]^2)/x^2","A",1
1539,1,45,23,0.1472569,"\int \frac{-4 x^2+10 x^4+2 e^{\frac{2}{x^2}} x^4+2 x^5+\frac{x^4 \left(-8+8 e^{\frac{2}{x^2}}-2 x^3\right)}{\left(-2+5 x^2+e^{\frac{2}{x^2}} x^2+x^3\right)^2}+\frac{x^2 \left(-12 x+10 x^3+e^{\frac{2}{x^2}} \left(8 x+2 x^3\right)\right)}{-2+5 x^2+e^{\frac{2}{x^2}} x^2+x^3}}{-2 x+5 x^3+e^{\frac{2}{x^2}} x^3+x^4} \, dx","Integrate[(-4*x^2 + 10*x^4 + 2*E^(2/x^2)*x^4 + 2*x^5 + (x^4*(-8 + 8*E^(2/x^2) - 2*x^3))/(-2 + 5*x^2 + E^(2/x^2)*x^2 + x^3)^2 + (x^2*(-12*x + 10*x^3 + E^(2/x^2)*(8*x + 2*x^3)))/(-2 + 5*x^2 + E^(2/x^2)*x^2 + x^3))/(-2*x + 5*x^3 + E^(2/x^2)*x^3 + x^4),x]","\frac{x^2 \left(x^3+\left(e^{\frac{2}{x^2}}+5\right) x^2+x-2\right)^2}{\left(x^3+\left(e^{\frac{2}{x^2}}+5\right) x^2-2\right)^2}","\left(\frac{1}{e^{\frac{2}{x^2}}-\frac{2}{x^2}+x+5}+x\right)^2+2",1,"(x^2*(-2 + x + (5 + E^(2/x^2))*x^2 + x^3)^2)/(-2 + (5 + E^(2/x^2))*x^2 + x^3)^2","A",1
1540,1,25,27,0.0361889,"\int e^{\frac{e^6+e^3 \left(6+16 x^4\right)+16 \log ^2(3)}{64 e^3}} x^3 \, dx","Integrate[E^((E^6 + E^3*(6 + 16*x^4) + 16*Log[3]^2)/(64*E^3))*x^3,x]","e^{\frac{1}{64} \left(16 x^4+e^3+6+\frac{16 \log ^2(3)}{e^3}\right)}","e^{\frac{1}{4} \left(x^4+\frac{1}{16} \left(6+e^3\right)+\frac{\log ^2(3)}{e^3}\right)}",1,"E^((6 + E^3 + 16*x^4 + (16*Log[3]^2)/E^3)/64)","A",1
1541,1,15,19,0.0045371,"\int \frac{2 \log \left(\frac{625}{331776 e^2}\right)}{x-2 x \log \left(x^2\right)+x \log ^2\left(x^2\right)} \, dx","Integrate[(2*Log[625/(331776*E^2)])/(x - 2*x*Log[x^2] + x*Log[x^2]^2),x]","\frac{2+\log \left(\frac{331776}{625}\right)}{\log \left(x^2\right)-1}","\frac{\log \left(\frac{625}{331776 e^2}\right)}{1-\log \left(x^2\right)}",1,"(2 + Log[331776/625])/(-1 + Log[x^2])","A",1
1542,1,27,27,0.0922744,"\int \frac{e^{-x} \left(4 x^2-8 x^3+2 x^4+e^2 \left(3+3 x+3 x^4-x^5\right)\right)}{x^2} \, dx","Integrate[(4*x^2 - 8*x^3 + 2*x^4 + E^2*(3 + 3*x + 3*x^4 - x^5))/(E^x*x^2),x]","\frac{e^{-x} \left(e^2 \left(x^4-3\right)-2 (x-2) x^2\right)}{x}","e^{-x} \left(\frac{e^2 \left(x^4-3\right)}{x}-x (2 x-4)\right)",1,"(-2*(-2 + x)*x^2 + E^2*(-3 + x^4))/(E^x*x)","A",1
1543,1,28,27,0.0180333,"\int \frac{-2-2 x+2 x \log (3 x)+\left(1-3 x+64 x^2\right) \log ^2(3 x)}{x \log ^2(3 x)} \, dx","Integrate[(-2 - 2*x + 2*x*Log[3*x] + (1 - 3*x + 64*x^2)*Log[3*x]^2)/(x*Log[3*x]^2),x]","32 x^2-3 x+\frac{2 x}{\log (3 x)}+\log (x)+\frac{2}{\log (3 x)}","-2 \left(-16 x^2+x-2\right)-x+\log (x)+\frac{2 (x+1)}{\log (3 x)}",1,"-3*x + 32*x^2 + Log[x] + 2/Log[3*x] + (2*x)/Log[3*x]","A",1
1544,1,16,19,0.0237375,"\int \frac{-3+e^x (1-x) \log (8+4 \log (4))}{x^2} \, dx","Integrate[(-3 + E^x*(1 - x)*Log[8 + 4*Log[4]])/x^2,x]","-\frac{e^x \log (8+\log (256))-3}{x}","\frac{x-e^x \log (4 (2+\log (4)))+3}{x}",1,"-((-3 + E^x*Log[8 + Log[256]])/x)","A",1
1545,1,91,28,0.1520246,"\int \frac{-20000 e^{2 e^x} x+1600 x^2+288 x^3+\left(100000 x+5500 x^2\right) \log (3)-500000 x \log ^2(3)+e^{e^x} \left(20000 x+1100 x^2+e^x \left(-10000 x^2-2500 x^3\right)-200000 x \log (3)\right)}{625 e^{2 e^x}+16 x^2+1000 x \log (3)+15625 \log ^2(3)+e^{e^x} (200 x+6250 \log (3))} \, dx","Integrate[(-20000*E^(2*E^x)*x + 1600*x^2 + 288*x^3 + (100000*x + 5500*x^2)*Log[3] - 500000*x*Log[3]^2 + E^E^x*(20000*x + 1100*x^2 + E^x*(-10000*x^2 - 2500*x^3) - 200000*x*Log[3]))/(625*E^(2*E^x) + 16*x^2 + 1000*x*Log[3] + 15625*Log[3]^2 + E^E^x*(200*x + 6250*Log[3])),x]","-\frac{4 x^2 \left(-36 e^x x^2+x \left(400 e^{x+e^x}+25 e^x (35 \log (3)-16)+36\right)+100 \left(125 e^x \log (3)-4\right) \left(e^{e^x}-1+\log (243)\right)\right)}{\left(4 x+25 e^{e^x}+125 \log (3)\right) \left(e^x (4 x+125 \log (3))-4\right)}","4 x^2 \left(\frac{x+4}{\frac{4 x}{25}+e^{e^x}+5 \log (3)}-4\right)",1,"(-4*x^2*(-36*E^x*x^2 + x*(36 + 400*E^(E^x + x) + 25*E^x*(-16 + 35*Log[3])) + 100*(-4 + 125*E^x*Log[3])*(-1 + E^E^x + Log[243])))/((25*E^E^x + 4*x + 125*Log[3])*(-4 + E^x*(4*x + 125*Log[3])))","B",1
1546,1,18,18,0.0086368,"\int \left(e^x+\log \left(\frac{1+4 e^{166}}{e^{166}}\right) \left(-1+\log \left(\frac{4}{x}\right)\right)\right) \, dx","Integrate[E^x + Log[(1 + 4*E^166)/E^166]*(-1 + Log[4/x]),x]","e^x+x \log \left(4+\frac{1}{e^{166}}\right) \log \left(\frac{4}{x}\right)","e^x+x \log \left(4+\frac{1}{e^{166}}\right) \log \left(\frac{4}{x}\right)",1,"E^x + x*Log[4 + E^(-166)]*Log[4/x]","A",1
1547,1,28,20,0.0196574,"\int \frac{64 x^6+480 x^7+1440 x^8+2160 x^9+1620 x^{10}+486 x^{11}+e^{16} (8+24 x)}{32 x^5+240 x^6+720 x^7+1080 x^8+810 x^9+243 x^{10}} \, dx","Integrate[(64*x^6 + 480*x^7 + 1440*x^8 + 2160*x^9 + 1620*x^10 + 486*x^11 + E^16*(8 + 24*x))/(32*x^5 + 240*x^6 + 720*x^7 + 1080*x^8 + 810*x^9 + 243*x^10),x]","\frac{x^6 (3 x+2)^4-e^{16}}{x^4 (3 x+2)^4}","-\frac{e^{16}}{(-3 x-2)^4 x^4}+x^2-1",1,"(-E^16 + x^6*(2 + 3*x)^4)/(x^4*(2 + 3*x)^4)","A",1
1548,1,24,26,0.2872126,"\int \frac{-3+5 e^x-5 x+(-5+5 x) \log (x \log (2))}{-3-5 x-5 e^x x+5 x \log (x \log (2))} \, dx","Integrate[(-3 + 5*E^x - 5*x + (-5 + 5*x)*Log[x*Log[2]])/(-3 - 5*x - 5*E^x*x + 5*x*Log[x*Log[2]]),x]","x-\log \left(5 e^x x+5 x-5 x \log (x \log (2))+3\right)","x+\log \left(\frac{1}{5 \left(x-x \left(\log (x \log (2))-e^x\right)\right)+3}\right)-2",1,"x - Log[3 + 5*x + 5*E^x*x - 5*x*Log[x*Log[2]]]","A",1
1549,1,34,18,0.0091624,"\int \left(78+3 e^{x^3} x^2-108 \log (3)+54 \log ^2(3)-12 \log ^3(3)+\log ^4(3)\right) \, dx","Integrate[78 + 3*E^x^3*x^2 - 108*Log[3] + 54*Log[3]^2 - 12*Log[3]^3 + Log[3]^4,x]","e^{x^3}+78 x+x \log ^4(3)-12 x \log ^3(3)+54 x \log ^2(3)-108 x \log (3)","e^{x^3}+x \left((3-\log (3))^4-3\right)",1,"E^x^3 + 78*x - 108*x*Log[3] + 54*x*Log[3]^2 - 12*x*Log[3]^3 + x*Log[3]^4","A",1
1550,1,34,29,0.0210024,"\int \left(-5+e^{-4+x}+4 x^2+\log \left(\frac{e^{2 x^2}}{16}\right)\right) \, dx","Integrate[-5 + E^(-4 + x) + 4*x^2 + Log[E^(2*x^2)/16],x]","2 x^3+x \left(\log \left(\frac{e^{2 x^2}}{16}\right)-2 x^2\right)-5 x+e^{x-4}","-\left(x \left(4-\log \left(\frac{e^{2 x^2}}{16}\right)\right)\right)-x+e^{x-4}-5",1,"E^(-4 + x) - 5*x + 2*x^3 + x*(-2*x^2 + Log[E^(2*x^2)/16])","A",1
1551,1,15,13,0.0016409,"\int \left(-3-6 x-3 \log \left(\frac{x}{3}\right)\right) \, dx","Integrate[-3 - 6*x - 3*Log[x/3],x]","-3 x^2-3 x \log \left(\frac{x}{3}\right)","4-3 x \left(x+\log \left(\frac{x}{3}\right)\right)",1,"-3*x^2 - 3*x*Log[x/3]","A",1
1552,1,18,24,5.0331105,"\int \frac{e^x \left(-4 x+x^2+4 x \log \left(\frac{3+3 x}{x}\right)\right) \left(-8-6 x-x^2+x^3+\left(4+8 x+4 x^2\right) \log \left(\frac{3+3 x}{x}\right)\right)}{-4 x-3 x^2+x^3+\left(4 x+4 x^2\right) \log \left(\frac{3+3 x}{x}\right)} \, dx","Integrate[(E^x*(-4*x + x^2 + 4*x*Log[(3 + 3*x)/x])*(-8 - 6*x - x^2 + x^3 + (4 + 8*x + 4*x^2)*Log[(3 + 3*x)/x]))/(-4*x - 3*x^2 + x^3 + (4*x + 4*x^2)*Log[(3 + 3*x)/x]),x]","e^x x \left(x+4 \log \left(\frac{3}{x}+3\right)-4\right)","e^x x \left(x-4 \left(\frac{5}{4}-\log \left(\frac{3}{x}+3\right)\right)+1\right)",1,"E^x*x*(-4 + x + 4*Log[3 + 3/x])","A",1
1553,1,17,19,0.0586274,"\int \frac{-16+x^2+e^x \left(64 x+4 x^3\right) \log (3)}{16 x+x^3} \, dx","Integrate[(-16 + x^2 + E^x*(64*x + 4*x^3)*Log[3])/(16*x + x^3),x]","\log \left(x^2+16\right)-\log (x)+e^x \log (81)","\log \left(\frac{x^2+16}{x}\right)+4 e^x \log (3)+4",1,"E^x*Log[81] - Log[x] + Log[16 + x^2]","A",1
1554,1,20,20,0.0740422,"\int \frac{-1-x-x \log \left(\frac{2}{x}\right)}{\left(3 x+3 x^2\right) \log \left(\frac{2}{x}\right) \log ^2\left(\frac{2+2 x}{\log \left(\frac{2}{x}\right)}\right)} \, dx","Integrate[(-1 - x - x*Log[2/x])/((3*x + 3*x^2)*Log[2/x]*Log[(2 + 2*x)/Log[2/x]]^2),x]","\frac{1}{3 \log \left(\frac{2 (x+1)}{\log \left(\frac{2}{x}\right)}\right)}","\frac{1}{3 \log \left(\frac{2 (x+1)}{\log \left(\frac{2}{x}\right)}\right)}",1,"1/(3*Log[(2*(1 + x))/Log[2/x]])","A",1
1555,1,24,26,0.0268374,"\int \frac{24 e^{x/2}-x-12 e^x x+6 e^{x/2} x \log \left(16 x^2\right)}{x} \, dx","Integrate[(24*E^(x/2) - x - 12*E^x*x + 6*E^(x/2)*x*Log[16*x^2])/x,x]","12 e^{x/2} \log \left(16 x^2\right)-x-12 e^x","-12 \left(e^x-e^{x/2} \log \left(16 x^2\right)\right)-x+15",1,"-12*E^x - x + 12*E^(x/2)*Log[16*x^2]","A",1
1556,1,65,27,0.0605888,"\int \frac{-x^2 \log (3)+\left(2 x+2 x^2\right) \log ^2(3)+\left(81 x^2+\left(-162 x-324 x^2\right) \log (3)+\left(81+324 x+324 x^2\right) \log ^2(3)\right) \log (5)}{\left(81 x^2+\left(-162 x-324 x^2\right) \log (3)+\left(81+324 x+324 x^2\right) \log ^2(3)\right) \log (5)} \, dx","Integrate[(-(x^2*Log[3]) + (2*x + 2*x^2)*Log[3]^2 + (81*x^2 + (-162*x - 324*x^2)*Log[3] + (81 + 324*x + 324*x^2)*Log[3]^2)*Log[5])/((81*x^2 + (-162*x - 324*x^2)*Log[3] + (81 + 324*x + 324*x^2)*Log[3]^2)*Log[5]),x]","\frac{\frac{\log ^2(3) (\log (3)+162 \log (3) \log (5)-81 \log (5) \log (9))}{x (\log (9)-1)+\log (3)}+x (\log (3)-81 \log (5)+162 \log (3) \log (5)) (\log (9)-1)}{81 \log (5) (\log (9)-1)^2}","\frac{x^2}{81 \log (5) \left(2 x-\frac{x}{\log (3)}+1\right)}+x",1,"(x*(Log[3] - 81*Log[5] + 162*Log[3]*Log[5])*(-1 + Log[9]) + (Log[3]^2*(Log[3] + 162*Log[3]*Log[5] - 81*Log[5]*Log[9]))/(Log[3] + x*(-1 + Log[9])))/(81*Log[5]*(-1 + Log[9])^2)","B",1
1557,1,8,10,0.0003603,"\int \frac{32 e^8}{x^3} \, dx","Integrate[(32*E^8)/x^3,x]","-\frac{16 e^8}{x^2}","1-\frac{16 e^8}{x^2}",1,"(-16*E^8)/x^2","A",1
1558,1,22,19,0.2187024,"\int \frac{9-x+3 x^3-132 x^4+15 x^5+\left(-1+15 x^4\right) \log (2 x)+\left(-108 x^3+12 x^4+12 x^3 \log (2 x)\right) \log (-9+x+\log (2 x))}{-9+x+\log (2 x)} \, dx","Integrate[(9 - x + 3*x^3 - 132*x^4 + 15*x^5 + (-1 + 15*x^4)*Log[2*x] + (-108*x^3 + 12*x^4 + 12*x^3*Log[2*x])*Log[-9 + x + Log[2*x]])/(-9 + x + Log[2*x]),x]","3 x^5+3 x^4 \log (x+\log (2 x)-9)-x","3 x^4 (x+\log (x+\log (2 x)-9))-x",1,"-x + 3*x^5 + 3*x^4*Log[-9 + x + Log[2*x]]","A",1
1559,1,82,32,0.2030344,"\int \frac{4 x^3+2 e^6 x^3+e^{\frac{625+250 x-25 x^2-10 x^3+x^4}{x^2}} \left(10000+12000 x+4500 x^2+580 x^3+64 x^4+4 x^5-4 x^6+e^{12} \left(2500+500 x+20 x^3-4 x^4\right)+e^6 \left(10000+7000 x+1000 x^2+80 x^3+24 x^4-8 x^5\right)\right)}{-2 x^4-e^6 x^4-x^5+e^{\frac{625+250 x-25 x^2-10 x^3+x^4}{x^2}} \left(4 x^3+e^{12} x^3+4 x^4+x^5+e^6 \left(4 x^3+2 x^4\right)\right)} \, dx","Integrate[(4*x^3 + 2*E^6*x^3 + E^((625 + 250*x - 25*x^2 - 10*x^3 + x^4)/x^2)*(10000 + 12000*x + 4500*x^2 + 580*x^3 + 64*x^4 + 4*x^5 - 4*x^6 + E^12*(2500 + 500*x + 20*x^3 - 4*x^4) + E^6*(10000 + 7000*x + 1000*x^2 + 80*x^3 + 24*x^4 - 8*x^5)))/(-2*x^4 - E^6*x^4 - x^5 + E^((625 + 250*x - 25*x^2 - 10*x^3 + x^4)/x^2)*(4*x^3 + E^12*x^3 + 4*x^4 + x^5 + E^6*(4*x^3 + 2*x^4))),x]","2 \log \left(x+e^6+2\right)-2 \log \left(e^{x^2+\frac{625}{x^2}-10 x+\frac{250}{x}} x+2 e^{x^2+\frac{625}{x^2}-10 x+\frac{250}{x}}+e^{x^2+\frac{625}{x^2}-10 x+\frac{250}{x}+6}-e^{25} x\right)","\log \left(\frac{5}{\left(\frac{x}{x+e^6+2}-e^{\left(x-\frac{5 (x+5)}{x}\right)^2}\right)^2}\right)",1,"2*Log[2 + E^6 + x] - 2*Log[2*E^(625/x^2 + 250/x - 10*x + x^2) + E^(6 + 625/x^2 + 250/x - 10*x + x^2) - E^25*x + E^(625/x^2 + 250/x - 10*x + x^2)*x]","B",1
1560,1,51,27,0.2730704,"\int \left(6 x-2 e^6 x+\left(3-e^6\right) \log (5)+e^{-4+10 e^{4 x}} \left(-2 x-\log (5)+e^{4 x} \left(-40 x^2-40 x \log (5)\right)\right)+e^{-2+5 e^{4 x}} \left(-4 e^3 x-2 e^3 \log (5)+e^{4 x} \left(-40 e^3 x^2-40 e^3 x \log (5)\right)\right)\right) \, dx","Integrate[6*x - 2*E^6*x + (3 - E^6)*Log[5] + E^(-4 + 10*E^(4*x))*(-2*x - Log[5] + E^(4*x)*(-40*x^2 - 40*x*Log[5])) + E^(-2 + 5*E^(4*x))*(-4*E^3*x - 2*E^3*Log[5] + E^(4*x)*(-40*E^3*x^2 - 40*E^3*x*Log[5])),x]","x \left(3 x-2 e^{5 e^{4 x}+1} (x+\log (5))-e^{10 e^{4 x}-4} (x+\log (5))-e^6 (x+\log (5))+\log (125)\right)","\left(3-\left(e^{5 e^{4 x}-2}+e^3\right)^2\right) x (x+\log (5))",1,"x*(3*x - E^6*(x + Log[5]) - 2*E^(1 + 5*E^(4*x))*(x + Log[5]) - E^(-4 + 10*E^(4*x))*(x + Log[5]) + Log[125])","A",1
1561,1,26,22,0.0643906,"\int \frac{1}{4} \left(4+e^x \left(3+5 x+x^2\right)+e^{2 x} \left(18 x+36 x^2+16 x^3+2 x^4\right)\right) \, dx","Integrate[(4 + E^x*(3 + 5*x + x^2) + E^(2*x)*(18*x + 36*x^2 + 16*x^3 + 2*x^4))/4,x]","\frac{1}{4} x \left(e^{2 x} x (x+3)^2+e^x (x+3)+4\right)","\left(e^x \left(x-\frac{1}{2} x (x+5)\right)-\frac{1}{4}\right)^2+x",1,"(x*(4 + E^x*(3 + x) + E^(2*x)*x*(3 + x)^2))/4","A",1
1562,1,27,27,0.0712203,"\int \exp \left(-e^x+2 e^{e^{-e^x} \left(e^{e^x} x^2-e^5 x^3\right)} x^2+e^{-e^x} \left(e^{e^x} x^2-e^5 x^3\right)\right) \left(-6 e^5 x^4+2 e^{5+x} x^5+e^{e^x} \left(4 x+4 x^3\right)\right) \, dx","Integrate[E^(-E^x + 2*E^((E^E^x*x^2 - E^5*x^3)/E^E^x)*x^2 + (E^E^x*x^2 - E^5*x^3)/E^E^x)*(-6*E^5*x^4 + 2*E^(5 + x)*x^5 + E^E^x*(4*x + 4*x^3)),x]","e^{2 e^{x^2-e^{5-e^x} x^3} x^2}","e^{2 e^{x \left(x-e^{5-e^x} x^2\right)} x^2}",1,"E^(2*E^(x^2 - E^(5 - E^x)*x^3)*x^2)","A",1
1563,1,17,18,0.1455012,"\int \frac{-90+e^x (-40-20 x) x}{243 x^2+108 e^x x^3+12 e^{2 x} x^4} \, dx","Integrate[(-90 + E^x*(-40 - 20*x)*x)/(243*x^2 + 108*E^x*x^3 + 12*E^(2*x)*x^4),x]","\frac{10}{3 x \left(2 e^x x+9\right)}","\frac{5}{3 x \left(e^x x+\frac{9}{2}\right)}",1,"10/(3*x*(9 + 2*E^x*x))","A",1
1564,1,19,20,0.0601507,"\int \frac{1}{4} e^{\frac{1}{4} \left(16+7 x-x^3+x^4\right)} \left(7-3 x^2+4 x^3\right) \, dx","Integrate[(E^((16 + 7*x - x^3 + x^4)/4)*(7 - 3*x^2 + 4*x^3))/4,x]","e^{\frac{1}{4} \left(x^4-x^3+7 x+16\right)}","e^{\frac{1}{4} \left(x^3-x^2+3\right) x+x+4}",1,"E^((16 + 7*x - x^3 + x^4)/4)","A",1
1565,1,21,24,0.0601777,"\int \frac{-25+e^{e^x+x} (-4+x) \log ^2(20-5 x)+e^x (-8+2 x) \log ^2(20-5 x)}{(-4+x) \log ^2(20-5 x)} \, dx","Integrate[(-25 + E^(E^x + x)*(-4 + x)*Log[20 - 5*x]^2 + E^x*(-8 + 2*x)*Log[20 - 5*x]^2)/((-4 + x)*Log[20 - 5*x]^2),x]","e^{e^x}+2 e^x+\frac{25}{\log (-5 (x-4))}","e^{e^x}+2 e^x+\frac{25}{\log (5 (4-x))}+3",1,"E^E^x + 2*E^x + 25/Log[-5*(-4 + x)]","A",1
1566,1,18,20,0.5996566,"\int \frac{6 x-2 e^x x+\left(e (1-x)+e^x (1-x)-3 x+3 x^2\right) \log \left(e+e^x-3 x\right)}{\left(e^{2 x}+e^x (e-3 x)\right) \log ^3\left(e+e^x-3 x\right)} \, dx","Integrate[(6*x - 2*E^x*x + (E*(1 - x) + E^x*(1 - x) - 3*x + 3*x^2)*Log[E + E^x - 3*x])/((E^(2*x) + E^x*(E - 3*x))*Log[E + E^x - 3*x]^3),x]","\frac{e^{-x} x}{\log ^2\left(-3 x+e^x+e\right)}","\frac{e^{-x} x}{\log ^2\left(-3 x+e^x+e\right)}+1",1,"x/(E^x*Log[E + E^x - 3*x]^2)","A",1
1567,1,53,23,0.1684076,"\int \frac{780-24 x-36 x^2+\left(442-24 x-18 x^2\right) \log (x)+\left(900+360 x+36 x^2+(120+360 x) \log (x)\right) \log (x \log (x))+\left(-450+18 x^2\right) \log (x) \log ^2(x \log (x))}{9 x^2 \log (x)} \, dx","Integrate[(780 - 24*x - 36*x^2 + (442 - 24*x - 18*x^2)*Log[x] + (900 + 360*x + 36*x^2 + (120 + 360*x)*Log[x])*Log[x*Log[x]] + (-450 + 18*x^2)*Log[x]*Log[x*Log[x]]^2)/(9*x^2*Log[x]),x]","\frac{2 \left(9 x^2+6 \left(65-3 x^2\right) \log (x \log (x))+9 (x+5)^2 \log ^2(x \log (x))-12 x \log (x)-12 x \log (\log (x))+169\right)}{9 x}","\frac{2 \left(-x+(x+5) \log (x \log (x))+\frac{13}{3}\right)^2}{x}",1,"(2*(169 + 9*x^2 - 12*x*Log[x] - 12*x*Log[Log[x]] + 6*(65 - 3*x^2)*Log[x*Log[x]] + 9*(5 + x)^2*Log[x*Log[x]]^2))/(9*x)","B",1
1568,1,36,32,0.1035863,"\int \frac{-4-10 x-4 e^3 x+e^{2 e+2 x^2} \left(-1-3 x-e^3 x\right)+e^{e+x^2} \left(-4-11 x-4 e^3 x-10 x^2-2 x^3\right)}{12 x+4 e^3 x+e^{2 e+2 x^2} \left(3 x+e^3 x\right)+e^{e+x^2} \left(12 x+4 e^3 x\right)} \, dx","Integrate[(-4 - 10*x - 4*E^3*x + E^(2*E + 2*x^2)*(-1 - 3*x - E^3*x) + E^(E + x^2)*(-4 - 11*x - 4*E^3*x - 10*x^2 - 2*x^3))/(12*x + 4*E^3*x + E^(2*E + 2*x^2)*(3*x + E^3*x) + E^(E + x^2)*(12*x + 4*E^3*x)),x]","-\frac{\frac{-x-5}{e^{x^2+e}+2}+\left(3+e^3\right) x+\log (x)}{3+e^3}","\frac{\frac{x+5}{e^{x^2+e}+2}-\log (x)}{3+e^3}-x",1,"-(((-5 - x)/(2 + E^(E + x^2)) + (3 + E^3)*x + Log[x])/(3 + E^3))","A",1
1569,1,24,26,0.1230659,"\int \frac{\exp \left(\frac{e^{9+2 x} \left(10+2 x^2\right)+e^{9+x} \left(100 x+20 x^3\right)+e^9 \left(250 x^2+50 x^4\right)}{x^2}\right) \left(100 e^9 x^4+e^{9+2 x} \left(-20+20 x+4 x^3\right)+e^{9+x} \left(-100 x+100 x^2+20 x^3+20 x^4\right)\right)}{x^3} \, dx","Integrate[(E^((E^(9 + 2*x)*(10 + 2*x^2) + E^(9 + x)*(100*x + 20*x^3) + E^9*(250*x^2 + 50*x^4))/x^2)*(100*E^9*x^4 + E^(9 + 2*x)*(-20 + 20*x + 4*x^3) + E^(9 + x)*(-100*x + 100*x^2 + 20*x^3 + 20*x^4)))/x^3,x]","e^{\frac{2 e^9 \left(5 x+e^x\right)^2 \left(x^2+5\right)}{x^2}}","e^{\frac{50 e^9 \left(x+\frac{e^x}{5}\right)^2 \left(x^2+5\right)}{x^2}}",1,"E^((2*E^9*(E^x + 5*x)^2*(5 + x^2))/x^2)","A",1
1570,1,22,25,0.2252629,"\int \frac{\left(-10-2 e^{\frac{e^x}{2}}\right) \log \left(5+e^{\frac{e^x}{2}}\right)+\log ^{x^2}\left(5+e^{\frac{e^x}{2}}\right) \left(-\frac{1}{2} e^{\frac{e^x}{2}+x} x^2+\left(-10 x-2 e^{\frac{e^x}{2}} x\right) \log \left(5+e^{\frac{e^x}{2}}\right) \log \left(\log \left(5+e^{\frac{e^x}{2}}\right)\right)\right)}{\left(5+e^{\frac{e^x}{2}}\right) \log \left(5+e^{\frac{e^x}{2}}\right)} \, dx","Integrate[((-10 - 2*E^(E^x/2))*Log[5 + E^(E^x/2)] + Log[5 + E^(E^x/2)]^x^2*(-1/2*(E^(E^x/2 + x)*x^2) + (-10*x - 2*E^(E^x/2)*x)*Log[5 + E^(E^x/2)]*Log[Log[5 + E^(E^x/2)]]))/((5 + E^(E^x/2))*Log[5 + E^(E^x/2)]),x]","-\log ^{x^2}\left(e^{\frac{e^x}{2}}+5\right)-2 x","-\log ^{x^2}\left(e^{\frac{e^x}{2}}+5\right)-2 x+e^{10}",1,"-2*x - Log[5 + E^(E^x/2)]^x^2","A",1
1571,1,48,33,0.2662053,"\int \frac{\exp \left(\frac{-x^5+e^x \left(-2 x^3+x^4\right)}{-4-20 x^4-5 x^5+e^x \left(-40 x^2+10 x^3+5 x^4\right)}\right) \left(20 x^4+20 x^8+e^{2 x} \left(80 x^4-80 x^5+20 x^6\right)+e^x \left(24 x^2-8 x^3-4 x^4+80 x^6-40 x^7\right)\right)}{16+160 x^4+40 x^5+400 x^8+200 x^9+25 x^{10}+e^{2 x} \left(1600 x^4-800 x^5-300 x^6+100 x^7+25 x^8\right)+e^x \left(320 x^2-80 x^3-40 x^4+1600 x^6-300 x^8-50 x^9\right)} \, dx","Integrate[(E^((-x^5 + E^x*(-2*x^3 + x^4))/(-4 - 20*x^4 - 5*x^5 + E^x*(-40*x^2 + 10*x^3 + 5*x^4)))*(20*x^4 + 20*x^8 + E^(2*x)*(80*x^4 - 80*x^5 + 20*x^6) + E^x*(24*x^2 - 8*x^3 - 4*x^4 + 80*x^6 - 40*x^7)))/(16 + 160*x^4 + 40*x^5 + 400*x^8 + 200*x^9 + 25*x^10 + E^(2*x)*(1600*x^4 - 800*x^5 - 300*x^6 + 100*x^7 + 25*x^8) + E^x*(320*x^2 - 80*x^3 - 40*x^4 + 1600*x^6 - 300*x^8 - 50*x^9)),x]","\exp \left(\frac{x^5-e^x (x-2) x^3}{5 x^5+20 x^4-5 e^x \left(x^2+2 x-8\right) x^2+4}\right)","\exp \left(\frac{x}{\frac{4}{\left(x^2+e^x (2-x)\right) x^2}+x+4 (x+5)}\right)",1,"E^((-(E^x*(-2 + x)*x^3) + x^5)/(4 + 20*x^4 + 5*x^5 - 5*E^x*x^2*(-8 + 2*x + x^2)))","A",1
1572,1,44,27,0.0050261,"\int \frac{-160-832 x-1602 x^2+801 x^3+(32+136 x) \log \left(x^2\right)}{64 x^3} \, dx","Integrate[(-160 - 832*x - 1602*x^2 + 801*x^3 + (32 + 136*x)*Log[x^2])/(64*x^3),x]","\frac{1}{x^2}-\frac{17 \log \left(x^2\right)}{8 x}-\frac{\log \left(x^2\right)}{4 x^2}+\frac{801 x}{64}+\frac{35}{4 x}-\frac{801 \log (x)}{32}","4 \left(\left(\frac{x+4}{16 x}+1\right)^2+2\right) \left(-\log \left(x^2\right)+x+4\right)",1,"x^(-2) + 35/(4*x) + (801*x)/64 - (801*Log[x])/32 - Log[x^2]/(4*x^2) - (17*Log[x^2])/(8*x)","A",1
1573,1,19,21,0.0292881,"\int \frac{12 e^2+6 e x}{\left(3 e^2 x+3 e x^2-x^3\right) \log ^3\left(\frac{3 e^2+3 e x-x^2}{3 x^2}\right)} \, dx","Integrate[(12*E^2 + 6*E*x)/((3*E^2*x + 3*E*x^2 - x^3)*Log[(3*E^2 + 3*E*x - x^2)/(3*x^2)]^3),x]","\frac{1}{\log ^2\left(\frac{e^2}{x^2}+\frac{e}{x}-\frac{1}{3}\right)}","\frac{1}{\log ^2\left(\frac{-\frac{x}{3}+\frac{e^2}{x}+e}{x}\right)}",1,"Log[-1/3 + E^2/x^2 + E/x]^(-2)","A",1
1574,1,52,33,0.1184614,"\int \exp \left(77-e^{16/x}+e^{2 x}-108 x+54 x^2-12 x^3+x^4+e^x \left(19-12 x+2 x^2\right)\right) \left(16 e^{16/x}+2 x-108 x^2+2 e^{2 x} x^2+108 x^3-36 x^4+4 x^5+e^x \left(7 x^2-8 x^3+2 x^4\right)\right) \, dx","Integrate[E^(77 - E^(16/x) + E^(2*x) - 108*x + 54*x^2 - 12*x^3 + x^4 + E^x*(19 - 12*x + 2*x^2))*(16*E^(16/x) + 2*x - 108*x^2 + 2*E^(2*x)*x^2 + 108*x^3 - 36*x^4 + 4*x^5 + E^x*(7*x^2 - 8*x^3 + 2*x^4)),x]","x^2 \exp \left(x^4-12 x^3+54 x^2+e^x \left(2 x^2-12 x+19\right)-108 x-e^{16/x}+e^{2 x}+77\right)","e^{\left((3-x)^2+e^x\right)^2-e^{16/x}+e^x-4} x^2",1,"E^(77 - E^(16/x) + E^(2*x) - 108*x + 54*x^2 - 12*x^3 + x^4 + E^x*(19 - 12*x + 2*x^2))*x^2","A",1
1575,1,16,18,0.0000781,"\int \left(576 x^7-1296 x^{15}+\log (\log (3))\right) \, dx","Integrate[576*x^7 - 1296*x^15 + Log[Log[3]],x]","-81 x^{16}+72 x^8+x \log (\log (3))","-\left(4-9 x^8\right)^2+x \log (\log (3))+2",1,"72*x^8 - 81*x^16 + x*Log[Log[3]]","A",1
1576,1,25,20,0.4077812,"\int \frac{e^{-x+\frac{2-x-x^2+x^3-\log (x)}{x^2}} \left(-20+4 x+8 x^2+8 \log (x)\right)}{x} \, dx","Integrate[(E^(-x + (2 - x - x^2 + x^3 - Log[x])/x^2)*(-20 + 4*x + 8*x^2 + 8*Log[x]))/x,x]","4 e^{\frac{2}{x^2}-\frac{1}{x}-1} x^{2-\frac{1}{x^2}}","4 x^2 e^{-\frac{x^2+x+\log (x)-2}{x^2}}",1,"4*E^(-1 + 2/x^2 - x^(-1))*x^(2 - x^(-2))","A",1
1577,1,19,19,0.0148969,"\int \frac{-1-x}{\left(x^2+x \log \left(e^x x^2\right)\right) \log ^2\left(2 x+2 \log \left(e^x x^2\right)\right)} \, dx","Integrate[(-1 - x)/((x^2 + x*Log[E^x*x^2])*Log[2*x + 2*Log[E^x*x^2]]^2),x]","\frac{1}{2 \log \left(2 \left(\log \left(e^x x^2\right)+x\right)\right)}","\frac{1}{2 \log \left(2 \left(\log \left(e^x x^2\right)+x\right)\right)}",1,"1/(2*Log[2*(x + Log[E^x*x^2])])","A",1
1578,1,26,24,0.2094034,"\int \frac{10000 e^{8+3 x}+125 e^8 x^3+e^{8+2 x} \left(8000 x-1000 x^2\right)+e^{8+x} \left(1875 x^2-250 x^3\right)}{500 e^{3 x}+300 e^{2 x} x+60 e^x x^2+4 x^3} \, dx","Integrate[(10000*E^(8 + 3*x) + 125*E^8*x^3 + E^(8 + 2*x)*(8000*x - 1000*x^2) + E^(8 + x)*(1875*x^2 - 250*x^3))/(500*E^(3*x) + 300*E^(2*x)*x + 60*E^x*x^2 + 4*x^3),x]","\frac{125 e^8 x \left(x+4 e^x\right)^2}{4 \left(x+5 e^x\right)^2}","\frac{125 e^8 x}{\left(\frac{1}{\frac{e^{-x} x}{2}+2}+2\right)^2}",1,"(125*E^8*x*(4*E^x + x)^2)/(4*(5*E^x + x)^2)","A",1
1579,1,19,19,0.0873846,"\int \frac{4 x^2+\left(2+2 x^2\right) \log \left(\frac{1}{1+x^2}\right)}{\left(2+2 x^2+\left(1+x^2\right) \log (6)\right) \log ^2\left(\frac{1}{1+x^2}\right)} \, dx","Integrate[(4*x^2 + (2 + 2*x^2)*Log[(1 + x^2)^(-1)])/((2 + 2*x^2 + (1 + x^2)*Log[6])*Log[(1 + x^2)^(-1)]^2),x]","\frac{2 x}{(2+\log (6)) \log \left(\frac{1}{x^2+1}\right)}","\frac{2 x}{(2+\log (6)) \log \left(\frac{1}{x^2+1}\right)}",1,"(2*x)/((2 + Log[6])*Log[(1 + x^2)^(-1)])","A",1
1580,1,30,33,1.0398601,"\int \frac{e^{\frac{4+3 x^2-x^3}{12 x^2+2 e^{2 x} x^2}} \left(-48-6 x^3+e^{2 x} \left(-8-8 x-7 x^3+2 x^4\right)\right)}{72 x^3+24 e^{2 x} x^3+2 e^{4 x} x^3} \, dx","Integrate[(E^((4 + 3*x^2 - x^3)/(12*x^2 + 2*E^(2*x)*x^2))*(-48 - 6*x^3 + E^(2*x)*(-8 - 8*x - 7*x^3 + 2*x^4)))/(72*x^3 + 24*E^(2*x)*x^3 + 2*E^(4*x)*x^3),x]","e^{\frac{-x^3+3 x^2+4}{2 \left(e^{2 x}+6\right) x^2}}","e^{\frac{e^{-x} \left(\frac{4}{x^2}-x+3\right)}{12 e^{-x}+2 e^x}}",1,"E^((4 + 3*x^2 - x^3)/(2*(6 + E^(2*x))*x^2))","A",1
1581,1,48,29,0.0716969,"\int \frac{-8 x^3-17 x^4+65 x^6+272 x^7+352 x^8+256 x^9+256 x^{10}+\left(2-x^2-32 x^3-83 x^4-32 x^5-128 x^6-256 x^7-256 x^8\right) \log (x)+\left(3 x^2+16 x^3+32 x^4\right) \log ^2(x)-\log ^3(x)}{x^2-2 x^4-16 x^5-31 x^6+16 x^7+96 x^8+256 x^9+256 x^{10}+\left(2 x^2-2 x^4-16 x^5-32 x^6\right) \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(-8*x^3 - 17*x^4 + 65*x^6 + 272*x^7 + 352*x^8 + 256*x^9 + 256*x^10 + (2 - x^2 - 32*x^3 - 83*x^4 - 32*x^5 - 128*x^6 - 256*x^7 - 256*x^8)*Log[x] + (3*x^2 + 16*x^3 + 32*x^4)*Log[x]^2 - Log[x]^3)/(x^2 - 2*x^4 - 16*x^5 - 31*x^6 + 16*x^7 + 96*x^8 + 256*x^9 + 256*x^10 + (2*x^2 - 2*x^4 - 16*x^5 - 32*x^6)*Log[x] + x^2*Log[x]^2),x]","\frac{x^2+\frac{16 x^4+8 x^3+x^2-1}{16 x^4+8 x^3+x^2-\log (x)-1}+\log (x)-1}{x}","\frac{\log (x)}{x-\frac{x}{\left(4 x^2+x\right)^2-\log (x)}}+x-16",1,"(-1 + x^2 + (-1 + x^2 + 8*x^3 + 16*x^4)/(-1 + x^2 + 8*x^3 + 16*x^4 - Log[x]) + Log[x])/x","A",1
1582,1,55,32,0.0470113,"\int \frac{x^3+2 x^4-16 x^6+36 x^8-32 x^{10}+10 x^{12}+e^{2 x} \left(-2+2 x-2 x^3\right)+e^x \left(-2 x^3+8 x^4+4 x^5-8 x^6-2 x^7\right)}{x^3} \, dx","Integrate[(x^3 + 2*x^4 - 16*x^6 + 36*x^8 - 32*x^10 + 10*x^12 + E^(2*x)*(-2 + 2*x - 2*x^3) + E^x*(-2*x^3 + 8*x^4 + 4*x^5 - 8*x^6 - 2*x^7))/x^3,x]","x^{10}-4 x^8+6 x^6-4 x^4-\frac{e^{2 x} \left(x^3-x\right)}{x^3}+x^2-2 e^x \left(x^4-2 x^2+1\right)+x","\left(x \left(1-x^2\right)^2-\frac{e^x}{x}\right)^2-e^{2 x}+x-2",1,"x + x^2 - 4*x^4 + 6*x^6 - 4*x^8 + x^10 - (E^(2*x)*(-x + x^3))/x^3 - 2*E^x*(1 - 2*x^2 + x^4)","A",1
1583,1,12,18,0.0000637,"\int \frac{1}{-1-e+\log (\log (5))} \, dx","Integrate[(-1 - E + Log[Log[5]])^(-1),x]","\frac{x}{-1-e+\log (\log (5))}","\frac{2-x}{1+e-\log (\log (5))}-3",1,"x/(-1 - E + Log[Log[5]])","A",1
1584,1,52,33,0.234972,"\int \frac{e^{10-6 e^{4/x}} \left(96 e^{4/x}+\exp \left(-4+6 e^{4/x}-2 x+2 x^2+4 x \log (x)+2 \log ^2(x)\right) \left(2 x^2+4 x^3+\left(4 x+4 x^2\right) \log (x)\right)+e^{-2+3 e^{4/x}-x+x^2+2 x \log (x)+\log ^2(x)} \left(48 e^{4/x}+4 x^2+8 x^3+\left(8 x+8 x^2\right) \log (x)\right)\right)}{x^2} \, dx","Integrate[(E^(10 - 6*E^(4/x))*(96*E^(4/x) + E^(-4 + 6*E^(4/x) - 2*x + 2*x^2 + 4*x*Log[x] + 2*Log[x]^2)*(2*x^2 + 4*x^3 + (4*x + 4*x^2)*Log[x]) + E^(-2 + 3*E^(4/x) - x + x^2 + 2*x*Log[x] + Log[x]^2)*(48*E^(4/x) + 4*x^2 + 8*x^3 + (8*x + 8*x^2)*Log[x])))/x^2,x]","e^{-2 x-6 e^{4/x}+6} \left(x^{2 x} e^{x^2+3 e^{4/x}+\log ^2(x)}+2 e^{x+2}\right)^2","\left(2 e^{5-3 e^{4/x}}+e^{-x+(x+\log (x))^2+3}\right)^2+3",1,"E^(6 - 6*E^(4/x) - 2*x)*(2*E^(2 + x) + E^(3*E^(4/x) + x^2 + Log[x]^2)*x^(2*x))^2","A",1
1585,1,26,34,0.0772362,"\int \frac{-48+17 x^2+e^x \left(48+96 x+103 x^2+34 x^3\right)}{-48 x-60 x^2-17 x^3+e^x \left(48 x+60 x^2+17 x^3\right)} \, dx","Integrate[(-48 + 17*x^2 + E^x*(48 + 96*x + 103*x^2 + 34*x^3))/(-48*x - 60*x^2 - 17*x^3 + E^x*(48*x + 60*x^2 + 17*x^3)),x]","-\log \left(17 x^2+60 x+48\right)+2 \log \left(1-e^x\right)+\log (x)","\log \left(\frac{\left(2-2 e^x\right)^2}{\frac{\frac{x^2}{16}-\frac{x}{4}+3}{x}+x+4}\right)",1,"2*Log[1 - E^x] + Log[x] - Log[48 + 60*x + 17*x^2]","A",1
1586,1,4,8,0.0002283,"\int \frac{2}{x} \, dx","Integrate[2/x,x]","2 \log (x)","\log \left(\frac{55 x^2}{3}\right)",1,"2*Log[x]","A",1
1587,1,29,27,0.7568549,"\int \frac{x-21 x^2+20 x^3+e^5 \left(-20 x+20 x^2\right)+x \log (4 x)+\left(-2 x+2 x^2+e^5 (-2+2 x)+\left(-e^5-x\right) \log (4 x)\right) \log \left(e^5+x\right)}{20 x^3-40 x^4+20 x^5+e^5 \left(20 x^2-40 x^3+20 x^4\right)+\left(40 x^3-40 x^4+e^5 \left(40 x^2-40 x^3\right)\right) \log (4 x)+\left(20 e^5 x^2+20 x^3\right) \log ^2(4 x)} \, dx","Integrate[(x - 21*x^2 + 20*x^3 + E^5*(-20*x + 20*x^2) + x*Log[4*x] + (-2*x + 2*x^2 + E^5*(-2 + 2*x) + (-E^5 - x)*Log[4*x])*Log[E^5 + x])/(20*x^3 - 40*x^4 + 20*x^5 + E^5*(20*x^2 - 40*x^3 + 20*x^4) + (40*x^3 - 40*x^4 + E^5*(40*x^2 - 40*x^3))*Log[4*x] + (20*E^5*x^2 + 20*x^3)*Log[4*x]^2),x]","\frac{20 x+\log \left(x+e^5\right)}{20 \left(-x^2+x+x \log (4 x)\right)}","\frac{\frac{\log \left(x+e^5\right)}{20 x}+1}{-x+\log (4 x)+1}",1,"(20*x + Log[E^5 + x])/(20*(x - x^2 + x*Log[4*x]))","A",1
1588,1,24,34,0.2080859,"\int \frac{\exp \left(\frac{1}{2} \left(-x+2 x^2-x^3-e^x \left(1-2 x+x^2\right)\right)\right) \left(-2+5 e^{\frac{1}{2} \left(x-2 x^2+x^3+e^x \left(1-2 x+x^2\right)\right)}-x+4 x^2-3 x^3+e^x \left(x-x^3\right)\right)}{x^2} \, dx","Integrate[(E^((-x + 2*x^2 - x^3 - E^x*(1 - 2*x + x^2))/2)*(-2 + 5*E^((x - 2*x^2 + x^3 + E^x*(1 - 2*x + x^2))/2) - x + 4*x^2 - 3*x^3 + E^x*(x - x^3)))/x^2,x]","\frac{2 e^{-\frac{1}{2} (x-1)^2 \left(x+e^x\right)}-5}{x}","-\frac{x-2 e^{-\frac{1}{2} (x-1)^2 \left(x+e^x\right)}}{x}-\frac{5}{x}+e^4",1,"(-5 + 2/E^(((-1 + x)^2*(E^x + x))/2))/x","A",1
1589,1,29,26,0.1173446,"\int \frac{e^7 (-8-8 x)+e^{2 e^{-2+x}} \left(2 e^2+4 e^x x\right)}{\left(e^{2+2 e^{-2+x}} x+e^7 \left(-4 x-2 x^2\right)\right) \log \left(\frac{e^{4 e^{-2+x}} x^2+e^{5+2 e^{-2+x}} \left(-8 x^2-4 x^3\right)+e^{10} \left(16 x^2+16 x^3+4 x^4\right)}{e^{10}}\right)} \, dx","Integrate[(E^7*(-8 - 8*x) + E^(2*E^(-2 + x))*(2*E^2 + 4*E^x*x))/((E^(2 + 2*E^(-2 + x))*x + E^7*(-4*x - 2*x^2))*Log[(E^(4*E^(-2 + x))*x^2 + E^(5 + 2*E^(-2 + x))*(-8*x^2 - 4*x^3) + E^10*(16*x^2 + 16*x^3 + 4*x^4))/E^10]),x]","\log \left(\log \left(\frac{x^2 \left(e^{2 e^{x-2}}-2 e^5 (x+2)\right)^2}{e^{10}}\right)\right)","\log \left(\log \left(\left(\left(2 x-e^{2 e^{x-2}-5}+3\right) x+x\right)^2\right)\right)",1,"Log[Log[(x^2*(E^(2*E^(-2 + x)) - 2*E^5*(2 + x))^2)/E^10]]","A",1
1590,1,44,28,0.0345183,"\int -\frac{24 e^{\frac{1}{5} \left(e^{32}-2 e^{32} \log (2)+e^{32} \log ^2(2)\right)}}{64+16 e^{\frac{1}{5} \left(e^{32}-2 e^{32} \log (2)+e^{32} \log ^2(2)\right)} x+e^{\frac{2}{5} \left(e^{32}-2 e^{32} \log (2)+e^{32} \log ^2(2)\right)} x^2} \, dx","Integrate[(-24*E^((E^32 - 2*E^32*Log[2] + E^32*Log[2]^2)/5))/(64 + 16*E^((E^32 - 2*E^32*Log[2] + E^32*Log[2]^2)/5)*x + E^((2*(E^32 - 2*E^32*Log[2] + E^32*Log[2]^2))/5)*x^2),x]","\frac{3\ 2^{3+\frac{2 e^{32}}{5}}}{x e^{\frac{1}{5} e^{32} \left(1+\log ^2(2)\right)}+2^{3+\frac{2 e^{32}}{5}}}","\frac{3}{\frac{1}{8} x e^{\frac{1}{5} e^{32} (1-\log (2))^2}+1}",1,"(3*2^(3 + (2*E^32)/5))/(2^(3 + (2*E^32)/5) + E^((E^32*(1 + Log[2]^2))/5)*x)","A",1
1591,1,25,25,0.4185363,"\int e^{-2 x} \left(-e^{2 x} x+e^{e^{-2 x} \left(x^2+e^{2 x} (2+4 x)\right)} \left(2 x^3-2 x^4+e^{2 x} \left(2 x+4 x^2\right)\right)-2 e^{2 x} x \log (x)\right) \, dx","Integrate[(-(E^(2*x)*x) + E^((x^2 + E^(2*x)*(2 + 4*x))/E^(2*x))*(2*x^3 - 2*x^4 + E^(2*x)*(2*x + 4*x^2)) - 2*E^(2*x)*x*Log[x])/E^(2*x),x]","x^2 \left(e^{e^{-2 x} x^2+4 x+2}-\log (x)\right)","x^2 \left(e^{e^{-2 x} x^2+4 x+2}-\log (x)\right)",1,"x^2*(E^(2 + 4*x + x^2/E^(2*x)) - Log[x])","A",1
1592,1,59,28,0.0918239,"\int \frac{48 x+4 x^3+4 x^2 \log \left(\frac{5}{2}\right)+\left(-48 x+4 x^3+\left(-24+2 x^2\right) \log \left(\frac{5}{2}\right)\right) \log \left(\frac{-12+x^2}{2 e^2 x+e^2 \log \left(\frac{5}{2}\right)}\right)}{-24 x+2 x^3+\left(-12+x^2\right) \log \left(\frac{5}{2}\right)} \, dx","Integrate[(48*x + 4*x^3 + 4*x^2*Log[5/2] + (-48*x + 4*x^3 + (-24 + 2*x^2)*Log[5/2])*Log[(-12 + x^2)/(2*E^2*x + E^2*Log[5/2])])/(-24*x + 2*x^3 + (-12 + x^2)*Log[5/2]),x]","2 \left(x \log \left(\frac{x^2-12}{2 x+\log \left(\frac{5}{2}\right)}\right)-2 x+\frac{1}{2} \log \left(\frac{5}{2}\right) \log \left(2 x+\log \left(\frac{5}{2}\right)\right)-\frac{1}{2} \log \left(\frac{5}{2}\right) \log \left(4 x+\log \left(\frac{25}{4}\right)\right)\right)","2 x \log \left(\frac{4 \left(\frac{x^2}{4}-3\right)}{e^2 \left(2 x+\log \left(\frac{5}{2}\right)\right)}\right)",1,"2*(-2*x + x*Log[(-12 + x^2)/(2*x + Log[5/2])] + (Log[5/2]*Log[2*x + Log[5/2]])/2 - (Log[5/2]*Log[4*x + Log[25/4]])/2)","B",1
1593,1,22,23,0.0084738,"\int \left(4 x-e^x x+e^{14+e+x} (1+x)\right) \, dx","Integrate[4*x - E^x*x + E^(14 + E + x)*(1 + x),x]","2 x^2+e^{x+e+14} x-e^x (x-1)","x^2+\left(x+e^{x+e+14}\right) x+e^x (1-x)",1,"-(E^x*(-1 + x)) + E^(14 + E + x)*x + 2*x^2","A",1
1594,1,26,23,0.3400632,"\int e^{-5-4 x+6 x^2-x^3+(5-x) \log (\log (4))} \left(-4+12 x-3 x^2-\log (\log (4))\right) \, dx","Integrate[E^(-5 - 4*x + 6*x^2 - x^3 + (5 - x)*Log[Log[4]])*(-4 + 12*x - 3*x^2 - Log[Log[4]]),x]","e^{-x^3+6 x^2-4 x-5} \log ^{5-x}(4)","e^{(x-5) x \left(\frac{x+1-\log (\log (4))}{x}-x\right)}",1,"E^(-5 - 4*x + 6*x^2 - x^3)*Log[4]^(5 - x)","A",1
1595,1,8,8,0.0015906,"\int \frac{1}{3 e^{45}+x} \, dx","Integrate[(3*E^45 + x)^(-1),x]","\log \left(x+3 e^{45}\right)","\log \left(x+3 e^{45}\right)",1,"Log[3*E^45 + x]","A",1
1596,1,35,38,0.2575697,"\int \frac{\exp \left(\frac{2}{5} \left(5 e^{\frac{-2 e^2+x \log ^2\left(\frac{2+3 x}{x}\right)}{x^2}}-x\right)\right) \left(-4 x^3-6 x^4+e^{\frac{-2 e^2+x \log ^2\left(\frac{2+3 x}{x}\right)}{x^2}} \left(e^2 (80+120 x)-40 x \log \left(\frac{2+3 x}{x}\right)+\left(-20 x-30 x^2\right) \log ^2\left(\frac{2+3 x}{x}\right)\right)\right)}{10 x^3+15 x^4} \, dx","Integrate[(E^((2*(5*E^((-2*E^2 + x*Log[(2 + 3*x)/x]^2)/x^2) - x))/5)*(-4*x^3 - 6*x^4 + E^((-2*E^2 + x*Log[(2 + 3*x)/x]^2)/x^2)*(E^2*(80 + 120*x) - 40*x*Log[(2 + 3*x)/x] + (-20*x - 30*x^2)*Log[(2 + 3*x)/x]^2)))/(10*x^3 + 15*x^4),x]","e^{2 e^{\frac{\log ^2\left(\frac{2}{x}+3\right)}{x}-\frac{2 e^2}{x^2}}-\frac{2 x}{5}}","e^{2 e^{\frac{\log ^2\left(4-\frac{x-2}{x}\right)-\frac{2 e^2}{x}}{x}}-\frac{2 x}{5}}",1,"E^(2*E^((-2*E^2)/x^2 + Log[3 + 2/x]^2/x) - (2*x)/5)","A",1
1597,1,71,28,0.0878748,"\int \frac{1+5 x+8 x^2-7 x^3-14 x^4+20 x^5-4 x^6-4 x^7+2 x^8+\left(3 x+12 x^2-15 x^3-8 x^4+24 x^5-16 x^6+4 x^7\right) \log (x)}{-5 x-10 x^2+16 x^3+12 x^4-33 x^5+18 x^6+x^7-4 x^8+x^9+\left(x+5 x^2+6 x^3-11 x^4-8 x^5+24 x^6-16 x^7+4 x^8\right) \log (x)} \, dx","Integrate[(1 + 5*x + 8*x^2 - 7*x^3 - 14*x^4 + 20*x^5 - 4*x^6 - 4*x^7 + 2*x^8 + (3*x + 12*x^2 - 15*x^3 - 8*x^4 + 24*x^5 - 16*x^6 + 4*x^7)*Log[x])/(-5*x - 10*x^2 + 16*x^3 + 12*x^4 - 33*x^5 + 18*x^6 + x^7 - 4*x^8 + x^9 + (x + 5*x^2 + 6*x^3 - 11*x^4 - 8*x^5 + 24*x^6 - 16*x^7 + 4*x^8)*Log[x]),x]","\log \left(-x^5+2 x^4-4 x^4 \log (x)+4 x^3+8 x^3 \log (x)-11 x^2-4 x^2 \log (x)+5 x-4 x \log (x)-\log (x)+5\right)-\log \left(x^3-2 x^2+x+1\right)","\log \left(\frac{x \log (x)}{\left(x^2-x\right)^2+x}+x (x+4 \log (x))-5\right)",1,"-Log[1 + x - 2*x^2 + x^3] + Log[5 + 5*x - 11*x^2 + 4*x^3 + 2*x^4 - x^5 - Log[x] - 4*x*Log[x] - 4*x^2*Log[x] + 8*x^3*Log[x] - 4*x^4*Log[x]]","B",1
1598,1,121,29,0.0777275,"\int \frac{e^8 \left(144 x^2-96 x^3+84 x^4-27 x^6\right)+e^{12} \left(64-96 x+192 x^2-152 x^3+144 x^4-54 x^5+27 x^6\right)}{-135 x^6+e^8 \left(-720 x^2+720 x^3-1260 x^4+540 x^5-405 x^6\right)+e^{12} \left(320-480 x+960 x^2-760 x^3+720 x^4-270 x^5+135 x^6\right)+e^4 \left(540 x^4-270 x^5+405 x^6\right)} \, dx","Integrate[(E^8*(144*x^2 - 96*x^3 + 84*x^4 - 27*x^6) + E^12*(64 - 96*x + 192*x^2 - 152*x^3 + 144*x^4 - 54*x^5 + 27*x^6))/(-135*x^6 + E^8*(-720*x^2 + 720*x^3 - 1260*x^4 + 540*x^5 - 405*x^6) + E^12*(320 - 480*x + 960*x^2 - 760*x^3 + 720*x^4 - 270*x^5 + 135*x^6) + E^4*(540*x^4 - 270*x^5 + 405*x^6)),x]","\frac{e^8 \left(3 e^{12} x \left(3 x^2-2 x+4\right)^2-e^8 (9 x+4) \left(3 x^2-2 x+4\right)^2-3 x \left(9 x^4+28 x^2-16 x+16\right)+3 e^4 x \left(27 x^4-12 x^3+68 x^2-16 x+48\right)\right)}{15 \left(e^4-1\right)^3 \left(e^4 \left(3 x^2-2 x+4\right)-3 x^2\right)^2}","\frac{x}{5 \left(\frac{x}{e^4 \left(\frac{1}{3} \left(\frac{4}{x}-2\right)+x\right)}-1\right)^2}",1,"(E^8*(3*E^12*x*(4 - 2*x + 3*x^2)^2 - E^8*(4 + 9*x)*(4 - 2*x + 3*x^2)^2 - 3*x*(16 - 16*x + 28*x^2 + 9*x^4) + 3*E^4*x*(48 - 16*x + 68*x^2 - 12*x^3 + 27*x^4)))/(15*(-1 + E^4)^3*(-3*x^2 + E^4*(4 - 2*x + 3*x^2))^2)","B",1
1599,1,27,27,0.0492941,"\int \frac{-143 x^2+e^{5 x+x^2} \left(180 x^2+72 x^3\right)-3 \log (x)}{x^2} \, dx","Integrate[(-143*x^2 + E^(5*x + x^2)*(180*x^2 + 72*x^3) - 3*Log[x])/x^2,x]","36 e^{x^2+5 x}-143 x+\frac{3}{x}+\frac{3 \log (x)}{x}","x+3 \left(12 \left(e^{x (x+5)}-4 x\right)+\frac{x+\log (x)+1}{x}\right)",1,"36*E^(5*x + x^2) + 3/x - 143*x + (3*Log[x])/x","A",1
1600,1,69,35,0.3754144,"\int \left(6 x^5+e^{\frac{2 \left(e^2+x^3+2 x^2 \log (5)+x \log ^2(5)\right)}{x}} \left(-2 e^2+2 x+4 x^3+4 x^2 \log (5)\right)+e^{\frac{e^2+x^3+2 x^2 \log (5)+x \log ^2(5)}{x}} \left(-2 e^2 x^2+8 x^3+4 x^5+4 x^4 \log (5)\right)\right) \, dx","Integrate[6*x^5 + E^((2*(E^2 + x^3 + 2*x^2*Log[5] + x*Log[5]^2))/x)*(-2*E^2 + 2*x + 4*x^3 + 4*x^2*Log[5]) + E^((E^2 + x^3 + 2*x^2*Log[5] + x*Log[5]^2)/x)*(-2*E^2*x^2 + 8*x^3 + 4*x^5 + 4*x^4*Log[5]),x]","x^6+\frac{4\ 25^x x^4 \log (5) e^{x^2+\frac{e^2}{x}+\log ^2(5)}}{\log (25)}+\frac{2\ 625^x x^2 \log (25) e^{\frac{2 \left(x^3+x \log ^2(5)+e^2\right)}{x}}}{\log (625)}","x^2 \left(\left(\frac{1}{x}+1\right) x^2-x+e^{\frac{e^2}{x}+(x+\log (5))^2}\right)^2",1,"x^6 + (4*25^x*E^(E^2/x + x^2 + Log[5]^2)*x^4*Log[5])/Log[25] + (2*625^x*E^((2*(E^2 + x^3 + x*Log[5]^2))/x)*x^2*Log[25])/Log[625]","A",1
1601,1,35,33,0.5406607,"\int \frac{\exp \left(5+e^{\frac{11 x-x^2+10 x^3-12 x^4+7 x^5-x^6}{-5+x}}+\frac{11 x-x^2+10 x^3-12 x^4+7 x^5-x^6}{-5+x}\right) \left(-55+10 x-151 x^2+260 x^3-211 x^4+58 x^5-5 x^6\right)}{25-10 x+x^2} \, dx","Integrate[(E^(5 + E^((11*x - x^2 + 10*x^3 - 12*x^4 + 7*x^5 - x^6)/(-5 + x)) + (11*x - x^2 + 10*x^3 - 12*x^4 + 7*x^5 - x^6)/(-5 + x))*(-55 + 10*x - 151*x^2 + 260*x^3 - 211*x^4 + 58*x^5 - 5*x^6))/(25 - 10*x + x^2),x]","\exp \left(e^{-\frac{x \left(x^5-7 x^4+12 x^3-10 x^2+x-11\right)}{x-5}}+5\right)","e^{e^{x \left(-x^2-\left(x^2-x\right)^2+\frac{6}{x-5}-1\right)}+5}",1,"E^(5 + E^(-((x*(-11 + x - 10*x^2 + 12*x^3 - 7*x^4 + x^5))/(-5 + x))))","A",1
1602,1,11,12,0.0142547,"\int \frac{200+200 \log (x)+x^2 \log ^2(x)}{x^2 \log ^2(x)} \, dx","Integrate[(200 + 200*Log[x] + x^2*Log[x]^2)/(x^2*Log[x]^2),x]","x-\frac{200}{x \log (x)}","x-\frac{200}{x \log (x)}+2",1,"x - 200/(x*Log[x])","A",1
1603,1,14,14,0.1280914,"\int \frac{-4 x+(3+x) \log (3+x) \log \left(\log ^4(3+x)\right)}{(9+3 x) \log (3+x) \log ^2\left(\log ^4(3+x)\right)} \, dx","Integrate[(-4*x + (3 + x)*Log[3 + x]*Log[Log[3 + x]^4])/((9 + 3*x)*Log[3 + x]*Log[Log[3 + x]^4]^2),x]","\frac{x}{3 \log \left(\log ^4(x+3)\right)}","\frac{x}{3 \log \left(\log ^4(x+3)\right)}",1,"x/(3*Log[Log[3 + x]^4])","A",1
1604,1,24,26,0.0108521,"\int \frac{1024-448 x+8 x^2-208 x^3+9 x^4}{1024 x-192 x^2+8 x^3-16 x^4+x^5} \, dx","Integrate[(1024 - 448*x + 8*x^2 - 208*x^3 + 9*x^4)/(1024*x - 192*x^2 + 8*x^3 - 16*x^4 + x^5),x]","4 \log \left(-x^3-8 x+64\right)-4 \log (16-x)+\log (x)","\log \left(x \left(\frac{x \left(x^2+4\right)}{16-x}-4\right)^4\right)+e^5+2",1,"-4*Log[16 - x] + Log[x] + 4*Log[64 - 8*x - x^3]","A",1
1605,1,28,30,0.1415951,"\int \frac{-10 x-x^5+\left(15 x+2 x^4\right) \log \left(x^2\right)+\left(-10-x^3\right) \log ^2\left(x^2\right)}{2 x^5-4 x^4 \log \left(x^2\right)+2 x^3 \log ^2\left(x^2\right)} \, dx","Integrate[(-10*x - x^5 + (15*x + 2*x^4)*Log[x^2] + (-10 - x^3)*Log[x^2]^2)/(2*x^5 - 4*x^4*Log[x^2] + 2*x^3*Log[x^2]^2),x]","\frac{1}{2} \left(\frac{5}{x^2}+\frac{5}{x \left(\log \left(x^2\right)-x\right)}-x\right)","\frac{1}{2} \left(\frac{5 \left(x-\frac{x^2}{x-\log \left(x^2\right)}\right)}{x^3}-x\right)",1,"(5/x^2 - x + 5/(x*(-x + Log[x^2])))/2","A",1
1606,1,10,10,0.0013099,"\int \frac{50 \log (6) \log (2 x)}{x} \, dx","Integrate[(50*Log[6]*Log[2*x])/x,x]","25 \log (6) \log ^2(2 x)","25 \log (6) \log ^2(2 x)",1,"25*Log[6]*Log[2*x]^2","A",1
1607,1,11,8,0.0000756,"\int \left(36 x+9 x^2\right) \, dx","Integrate[36*x + 9*x^2,x]","3 x^3+18 x^2","3 x^2 (x+6)",1,"18*x^2 + 3*x^3","A",1
1608,1,23,23,0.0734939,"\int \frac{e^{8 x} \left(48 x^3+96 x^4\right) \log \left(16-24 e^4+9 e^8+e^{16 x} x^8+e^{8 x} \left(8 x^4-6 e^4 x^4\right)\right)}{4-3 e^4+e^{8 x} x^4} \, dx","Integrate[(E^(8*x)*(48*x^3 + 96*x^4)*Log[16 - 24*E^4 + 9*E^8 + E^(16*x)*x^8 + E^(8*x)*(8*x^4 - 6*E^4*x^4)])/(4 - 3*E^4 + E^(8*x)*x^4),x]","3 \log ^2\left(\left(e^{8 x} x^4-3 e^4+4\right)^2\right)","3 \log ^2\left(\left(e^{8 x} x^4-3 e^4+4\right)^2\right)",1,"3*Log[(4 - 3*E^4 + E^(8*x)*x^4)^2]^2","A",1
1609,1,25,23,0.0116793,"\int \frac{e \left(32 x+8 x^2-50 x^5\right)}{768+768 x+960 x^2+384 x^3+2592 x^4+1200 x^5+1200 x^6+1875 x^8} \, dx","Integrate[(E*(32*x + 8*x^2 - 50*x^5))/(768 + 768*x + 960*x^2 + 384*x^3 + 2592*x^4 + 1200*x^5 + 1200*x^6 + 1875*x^8),x]","\frac{2 e x^2}{3 \left(50 x^4+16 x^2+16 x+32\right)}","\frac{e}{3 \left(25 x^2+\frac{(x+4)^2}{x^2}+7\right)}",1,"(2*E*x^2)/(3*(32 + 16*x + 16*x^2 + 50*x^4))","A",1
1610,1,91,31,1.6778013,"\int \frac{-e^{e^2+\frac{e^{e^2}}{10 x^2}}-240 x^3+160 x^4+e^{3 x} \left(-80 x^3+220 x^4-120 x^5\right)+e^{6 x} \left(20 x^3-50 x^4+30 x^5\right)+e^{\frac{e^{e^2}}{20 x^2}} \left(e^{e^2} \left(6+e^{3 x} (-1+x)-4 x\right)+40 x^3+e^{3 x} \left(20 x^3-30 x^4\right)\right)}{5 x^3} \, dx","Integrate[(-E^(E^2 + E^E^2/(10*x^2)) - 240*x^3 + 160*x^4 + E^(3*x)*(-80*x^3 + 220*x^4 - 120*x^5) + E^(6*x)*(20*x^3 - 50*x^4 + 30*x^5) + E^(E^E^2/(20*x^2))*(E^E^2*(6 + E^(3*x)*(-1 + x) - 4*x) + 40*x^3 + E^(3*x)*(20*x^3 - 30*x^4)))/(5*x^3),x]","\frac{1}{5} \left(-10 e^{3 x} \left(e^{\frac{e^{e^2}}{20 x^2}}+4 x-6\right) (x-1)+5 e^{\frac{e^{e^2}}{10 x^2}}+80 x^2-e^{\frac{e^{e^2}}{20 x^2}} (60-40 x)+5 e^{6 x} (x-1)^2-240 x\right)","\left(e^{\frac{e^{e^2}}{20 x^2}}+\left(4-e^{3 x}\right) (x-1)-2\right)^2",1,"(5*E^(E^E^2/(10*x^2)) - E^(E^E^2/(20*x^2))*(60 - 40*x) + 5*E^(6*x)*(-1 + x)^2 - 240*x + 80*x^2 - 10*E^(3*x)*(-1 + x)*(-6 + E^(E^E^2/(20*x^2)) + 4*x))/5","B",1
1611,1,180,28,0.4263813,"\int \frac{-2 x^2 \log (x) \log \left(\frac{5 e^x \log (x)}{x}\right)+e^{10} \log ^2\left(\frac{5 e^x \log (x)}{x}\right) \left(-32-16 x-2 x^2+\left(32-16 x-14 x^2-2 x^3\right) \log (x)+\left(-8 x-2 x^2\right) \log (x) \log \left(\frac{5 e^x \log (x)}{x}\right)\right)+e^5 \log \left(\frac{5 e^x \log (x)}{x}\right) \left(8 x+2 x^2+\left(-8 x+6 x^2+2 x^3\right) \log (x)+\left(8 x+4 x^2\right) \log (x) \log \left(\frac{5 e^x \log (x)}{x}\right)\right)}{x \log (x) \log \left(\frac{5 e^x \log (x)}{x}\right)} \, dx","Integrate[(-2*x^2*Log[x]*Log[(5*E^x*Log[x])/x] + E^10*Log[(5*E^x*Log[x])/x]^2*(-32 - 16*x - 2*x^2 + (32 - 16*x - 14*x^2 - 2*x^3)*Log[x] + (-8*x - 2*x^2)*Log[x]*Log[(5*E^x*Log[x])/x]) + E^5*Log[(5*E^x*Log[x])/x]*(8*x + 2*x^2 + (-8*x + 6*x^2 + 2*x^3)*Log[x] + (8*x + 4*x^2)*Log[x]*Log[(5*E^x*Log[x])/x]))/(x*Log[x]*Log[(5*E^x*Log[x])/x]),x]","16 e^{10} x^2-x^2-e^{10} x^2 \log ^2\left(\frac{5 e^x \log (x)}{x}\right)+2 e^5 x^2 \log \left(\frac{5 e^x \log (x)}{x}\right)-8 e^{10} x \log ^2\left(\frac{5 e^x \log (x)}{x}\right)-16 e^{10} \log ^2\left(\frac{\log (x)}{x}\right)-32 e^{10} x \log \left(\frac{5 e^x \log (x)}{x}\right)+8 e^5 x \log \left(\frac{5 e^x \log (x)}{x}\right)-32 e^{10} \log (x) \left(x+\log \left(\frac{\log (x)}{x}\right)-\log \left(\frac{5 e^x \log (x)}{x}\right)\right)+32 e^{10} \log (\log (x)) \left(x+\log \left(\frac{\log (x)}{x}\right)-\log \left(\frac{5 e^x \log (x)}{x}\right)\right)","3-\left(e^5 (x+4) \log \left(\frac{5 e^x \log (x)}{x}\right)-x\right)^2",1,"-x^2 + 16*E^10*x^2 - 16*E^10*Log[Log[x]/x]^2 - 32*E^10*Log[x]*(x + Log[Log[x]/x] - Log[(5*E^x*Log[x])/x]) + 32*E^10*Log[Log[x]]*(x + Log[Log[x]/x] - Log[(5*E^x*Log[x])/x]) + 8*E^5*x*Log[(5*E^x*Log[x])/x] - 32*E^10*x*Log[(5*E^x*Log[x])/x] + 2*E^5*x^2*Log[(5*E^x*Log[x])/x] - 8*E^10*x*Log[(5*E^x*Log[x])/x]^2 - E^10*x^2*Log[(5*E^x*Log[x])/x]^2","B",1
1612,1,14,18,0.0101242,"\int \frac{e^{\log ^2(2)}-16 x}{e^{\log ^2(2)} x-8 x^2} \, dx","Integrate[(E^Log[2]^2 - 16*x)/(E^Log[2]^2*x - 8*x^2),x]","\log \left(e^{\log ^2(2)}-8 x\right)+\log (x)","\log \left(\frac{1}{5} x \left(x-\frac{1}{8} e^{\log ^2(2)}\right)\right)",1,"Log[E^Log[2]^2 - 8*x] + Log[x]","A",1
1613,1,23,23,0.1310814,"\int \frac{1}{4} e^{-e^{\frac{x^2}{8}}} \left(e^{e^{\frac{x^2}{8}}} (12-8 x)-8 x+e^{\frac{x^2}{8}} x^3\right) \, dx","Integrate[(E^E^(x^2/8)*(12 - 8*x) - 8*x + E^(x^2/8)*x^3)/(4*E^E^(x^2/8)),x]","x \left(\left(-e^{-e^{\frac{x^2}{8}}}-1\right) x+3\right)","x \left(-e^{-e^{\frac{x^2}{8}}} x-x+3\right)",1,"x*(3 + (-1 - E^(-E^(x^2/8)))*x)","A",1
1614,1,30,29,0.2392537,"\int \frac{-3 e^{3/x}+e^{-16+e^x-3 x^2-x^4-x^5} \left(e^x x^2-6 x^3-4 x^5-5 x^6\right)}{x^2} \, dx","Integrate[(-3*E^(3/x) + E^(-16 + E^x - 3*x^2 - x^4 - x^5)*(E^x*x^2 - 6*x^3 - 4*x^5 - 5*x^6))/x^2,x]","e^{-x^5-x^4-3 x^2+e^x-16}+e^{3/x}","e^{-\left(\left((x+1) x^2+3\right) x^2\right)+e^x-16}+e^{3/x}",1,"E^(3/x) + E^(-16 + E^x - 3*x^2 - x^4 - x^5)","A",1
1615,1,27,28,0.0098601,"\int \frac{5+10 x+2 x^2-375 x^3-75 x^4+250 x^5+50 x^6-35 x^7-7 x^8}{5 x+x^2} \, dx","Integrate[(5 + 10*x + 2*x^2 - 375*x^3 - 75*x^4 + 250*x^5 + 50*x^6 - 35*x^7 - 7*x^8)/(5*x + x^2),x]","-x^7+10 x^5-25 x^3+2 x+\log (x)-\log (x+5)","-x \left(5 x-x^3\right)^2+2 x+\log \left(\frac{2 x}{x+5}\right)-6",1,"2*x - 25*x^3 + 10*x^5 - x^7 + Log[x] - Log[5 + x]","A",1
1616,1,22,24,0.3232723,"\int \frac{-27000 x+5400 x^2+\left(216000-54000 x-27000 x^2\right) \log (4+x)+\left(9000 x-1800 x^2+\left(-72000+39600 x+14400 x^2\right) \log (4+x)\right) \log \left(\frac{x^2}{\log (4+x)}\right)+\left(-7200 x-1800 x^2\right) \log (4+x) \log ^2\left(\frac{x^2}{\log (4+x)}\right)}{\left(-500 x+175 x^2+15 x^3-11 x^4+x^5\right) \log (4+x)} \, dx","Integrate[(-27000*x + 5400*x^2 + (216000 - 54000*x - 27000*x^2)*Log[4 + x] + (9000*x - 1800*x^2 + (-72000 + 39600*x + 14400*x^2)*Log[4 + x])*Log[x^2/Log[4 + x]] + (-7200*x - 1800*x^2)*Log[4 + x]*Log[x^2/Log[4 + x]]^2)/((-500*x + 175*x^2 + 15*x^3 - 11*x^4 + x^5)*Log[4 + x]),x]","\frac{900 \left(\log \left(\frac{x^2}{\log (x+4)}\right)-3\right)^2}{(x-5)^2}","\frac{900 \left(3-\log \left(\frac{x^2}{\log (x+4)}\right)\right)^2}{(x-5)^2}",1,"(900*(-3 + Log[x^2/Log[4 + x]])^2)/(-5 + x)^2","A",1
1617,1,26,30,0.0764253,"\int \frac{1}{2} \left(20+e^{\frac{1}{2} \left(-x+2 e^2 x-4 x^2\right)} \left(1-2 e^2+8 x\right)\right) \, dx","Integrate[(20 + E^((-x + 2*E^2*x - 4*x^2)/2)*(1 - 2*E^2 + 8*x))/2,x]","10 x-e^{\frac{1}{2} \left(2 e^2-1\right) x-2 x^2}","10 x-e^{x \left(e^2-\left(2-\frac{1}{2 x}\right) x\right)-x}",1,"-E^(((-1 + 2*E^2)*x)/2 - 2*x^2) + 10*x","A",1
1618,1,11,12,0.0000724,"\int \frac{1}{3} (15-4 \log (176)) \, dx","Integrate[(15 - 4*Log[176])/3,x]","5 x-\frac{4}{3} x \log (176)","5 x-\frac{4}{3} x \log (176)-1",1,"5*x - (4*x*Log[176])/3","A",1
1619,1,26,29,0.031136,"\int \frac{-5+x^2-e^{\frac{x^2}{2}} x^3+2 \log (x)-\log ^2(x)}{x^2} \, dx","Integrate[(-5 + x^2 - E^(x^2/2)*x^3 + 2*Log[x] - Log[x]^2)/x^2,x]","-e^{\frac{x^2}{2}}+x+\frac{5}{x}+\frac{\log ^2(x)}{x}","-e^{\frac{x^2}{2}}+x-\frac{x-\log ^2(x)-5}{x}+\log (2)",1,"-E^(x^2/2) + 5/x + x + Log[x]^2/x","A",1
1620,1,46,34,0.4174227,"\int \frac{\exp \left(-\frac{e^{4 x}-16 e^{3 x} \log (2 x)+e^{2 x} (96-2 x) \log ^2(2 x)+e^x (-256+16 x) \log ^3(2 x)+\left(256-32 x+x^2\right) \log ^4(2 x)}{\log ^4(2 x)}\right) \left(e^{4 x} \left(20 x-4 x^2\right)+\left(e^{3 x} \left(-240 x+48 x^2\right)+e^{4 x} \left(-20 x^2+4 x^3\right)\right) \log (2 x)+\left(e^{3 x} \left(240 x^2-48 x^3\right)+e^{2 x} \left(960 x-212 x^2+4 x^3\right)\right) \log ^2(2 x)+\left(e^x \left(-1280 x+336 x^2-16 x^3\right)+e^{2 x} \left(-950 x^2+210 x^3-4 x^4\right)\right) \log ^3(2 x)+e^x \left(1200 x^2-320 x^3+16 x^4\right) \log ^4(2 x)+\left(10 x+157 x^2-42 x^3+2 x^4\right) \log ^5(2 x)\right)}{\log ^5(2 x)} \, dx","Integrate[(E^(4*x)*(20*x - 4*x^2) + (E^(3*x)*(-240*x + 48*x^2) + E^(4*x)*(-20*x^2 + 4*x^3))*Log[2*x] + (E^(3*x)*(240*x^2 - 48*x^3) + E^(2*x)*(960*x - 212*x^2 + 4*x^3))*Log[2*x]^2 + (E^x*(-1280*x + 336*x^2 - 16*x^3) + E^(2*x)*(-950*x^2 + 210*x^3 - 4*x^4))*Log[2*x]^3 + E^x*(1200*x^2 - 320*x^3 + 16*x^4)*Log[2*x]^4 + (10*x + 157*x^2 - 42*x^3 + 2*x^4)*Log[2*x]^5)/(E^((E^(4*x) - 16*E^(3*x)*Log[2*x] + E^(2*x)*(96 - 2*x)*Log[2*x]^2 + E^x*(-256 + 16*x)*Log[2*x]^3 + (256 - 32*x + x^2)*Log[2*x]^4)/Log[2*x]^4)*Log[2*x]^5),x]","(x-5) x^2 \left(-\exp \left(-\frac{\left(e^{2 x}-\left((x-16) \log ^2(2 x)\right)-8 e^x \log (2 x)\right)^2}{\log ^4(2 x)}\right)\right)","(5-x) x^2 e^{-\left(x-\left(4-\frac{e^x}{\log (2 x)}\right)^2\right)^2}",1,"-(((-5 + x)*x^2)/E^((E^(2*x) - 8*E^x*Log[2*x] - (-16 + x)*Log[2*x]^2)^2/Log[2*x]^4))","A",1
1621,1,55,33,0.1217299,"\int \frac{\exp \left(\frac{-256 x+512 x^2+128 x^3-646 x^4-11 x^5+320 x^6+32 x^7-64 x^8-16 x^9}{512-1024 x-256 x^2+1280 x^3+22 x^4-640 x^5-64 x^6+128 x^7+32 x^8}\right) \left(-65536+262144 x-196608 x^2-464896 x^3+642560 x^4+340480 x^5-721920 x^6-161536 x^7+456711 x^8+80384 x^9-178368 x^{10}-41984 x^{11}+39584 x^{12}+14336 x^{13}-3072 x^{14}-2048 x^{15}-256 x^{16}\right)}{131072-524288 x+393216 x^2+917504 x^3-1266688 x^4-677888 x^5+1436160 x^6+323072 x^7-917262 x^8-161536 x^9+359040 x^{10}+84736 x^{11}-79168 x^{12}-28672 x^{13}+6144 x^{14}+4096 x^{15}+512 x^{16}} \, dx","Integrate[(E^((-256*x + 512*x^2 + 128*x^3 - 646*x^4 - 11*x^5 + 320*x^6 + 32*x^7 - 64*x^8 - 16*x^9)/(512 - 1024*x - 256*x^2 + 1280*x^3 + 22*x^4 - 640*x^5 - 64*x^6 + 128*x^7 + 32*x^8))*(-65536 + 262144*x - 196608*x^2 - 464896*x^3 + 642560*x^4 + 340480*x^5 - 721920*x^6 - 161536*x^7 + 456711*x^8 + 80384*x^9 - 178368*x^10 - 41984*x^11 + 39584*x^12 + 14336*x^13 - 3072*x^14 - 2048*x^15 - 256*x^16))/(131072 - 524288*x + 393216*x^2 + 917504*x^3 - 1266688*x^4 - 677888*x^5 + 1436160*x^6 + 323072*x^7 - 917262*x^8 - 161536*x^9 + 359040*x^10 + 84736*x^11 - 79168*x^12 - 28672*x^13 + 6144*x^14 + 4096*x^15 + 512*x^16),x]","\exp \left(-\frac{3 x^4}{16 x^8+64 x^7-32 x^6-320 x^5+11 x^4+640 x^3-128 x^2-512 x+256}-\frac{x}{2}\right)","e^{\frac{1}{2} \left(\frac{6}{5-16 \left(\frac{2-x}{x}-x\right)^4}-x\right)}",1,"E^(-1/2*x - (3*x^4)/(256 - 512*x - 128*x^2 + 640*x^3 + 11*x^4 - 320*x^5 - 32*x^6 + 64*x^7 + 16*x^8))","A",1
1622,1,23,22,0.0141697,"\int \frac{-12 x^2-1203 x^4+e^5 \left(12-6 x-3609 x^2\right)}{e^{10}+2 e^5 x^2+x^4} \, dx","Integrate[(-12*x^2 - 1203*x^4 + E^5*(12 - 6*x - 3609*x^2))/(E^10 + 2*E^5*x^2 + x^4),x]","\frac{3 \left(-401 x^3+4 x+e^5\right)}{x^2+e^5}","\frac{3 x \left(-401 x^2-x+4\right)}{x^2+e^5}",1,"(3*(E^5 + 4*x - 401*x^3))/(E^5 + x^2)","A",1
1623,1,15,15,0.0998544,"\int \frac{10-2 e^x+\left(-5+e^x (1+x)\right) \log \left(4 x^2\right)}{\log ^2\left(4 x^2\right)} \, dx","Integrate[(10 - 2*E^x + (-5 + E^x*(1 + x))*Log[4*x^2])/Log[4*x^2]^2,x]","\frac{\left(e^x-5\right) x}{\log \left(4 x^2\right)}","\frac{\left(e^x-5\right) x}{\log \left(4 x^2\right)}",1,"((-5 + E^x)*x)/Log[4*x^2]","A",1
1624,1,40,26,0.1604948,"\int \frac{3 e^{6 e^x x}+20 x-90 e^{5 e^x x} x^2+3 x^3+2000 x^4+225 x^6+5625 x^9+46875 x^{12}+e^{4 e^x x} \left(9 x+1125 x^4\right)+e^{3 e^x x} \left(-180 x^3-7500 x^6\right)+e^{2 e^x x} \left(9 x^2+1350 x^5+28125 x^8+e^x \left(40 x+40 x^2\right)\right)+e^{e^x x} \left(-400 x^2-90 x^4-4500 x^7-56250 x^{10}+e^x \left(-200 x^3-200 x^4\right)\right)}{3 e^{6 e^x x} x-90 e^{5 e^x x} x^3+3 x^4+225 x^7+5625 x^{10}+46875 x^{13}+e^{4 e^x x} \left(9 x^2+1125 x^5\right)+e^{3 e^x x} \left(-180 x^4-7500 x^7\right)+e^{2 e^x x} \left(9 x^3+1350 x^6+28125 x^9\right)+e^{e^x x} \left(-90 x^5-4500 x^8-56250 x^{11}\right)} \, dx","Integrate[(3*E^(6*E^x*x) + 20*x - 90*E^(5*E^x*x)*x^2 + 3*x^3 + 2000*x^4 + 225*x^6 + 5625*x^9 + 46875*x^12 + E^(4*E^x*x)*(9*x + 1125*x^4) + E^(3*E^x*x)*(-180*x^3 - 7500*x^6) + E^(2*E^x*x)*(9*x^2 + 1350*x^5 + 28125*x^8 + E^x*(40*x + 40*x^2)) + E^(E^x*x)*(-400*x^2 - 90*x^4 - 4500*x^7 - 56250*x^10 + E^x*(-200*x^3 - 200*x^4)))/(3*E^(6*E^x*x)*x - 90*E^(5*E^x*x)*x^3 + 3*x^4 + 225*x^7 + 5625*x^10 + 46875*x^13 + E^(4*E^x*x)*(9*x^2 + 1125*x^5) + E^(3*E^x*x)*(-180*x^4 - 7500*x^7) + E^(2*E^x*x)*(9*x^3 + 1350*x^6 + 28125*x^9) + E^(E^x*x)*(-90*x^5 - 4500*x^8 - 56250*x^11)),x]","\frac{1}{3} \left(3 \log (x)-\frac{10}{\left(25 x^4-10 e^{e^x x} x^2+x+e^{2 e^x x}\right)^2}\right)","\log (x)-\frac{10}{3 \left(\left(e^{e^x x}-5 x^2\right)^2+x\right)^2}",1,"(-10/(E^(2*E^x*x) + x - 10*E^(E^x*x)*x^2 + 25*x^4)^2 + 3*Log[x])/3","A",1
1625,1,15,19,0.0024268,"\int \frac{12+x^2+x^2 \log (3)}{4 x^2} \, dx","Integrate[(12 + x^2 + x^2*Log[3])/(4*x^2),x]","\frac{1}{4} \left(x-\frac{12}{x}+x \log (3)\right)","\frac{x-3}{x}+\frac{1}{4} (x+x \log (3))-5",1,"(-12/x + x + x*Log[3])/4","A",1
1626,1,25,23,0.0189546,"\int \frac{1}{45} \left(1020+90 e^5+46 e^{\frac{2}{5} (5+23 x)}+90 x+e^{\frac{1}{5} (5+23 x)} \left(1594+138 e^5+138 x\right)\right) \, dx","Integrate[(1020 + 90*E^5 + 46*E^((2*(5 + 23*x))/5) + 90*x + E^((5 + 23*x)/5)*(1594 + 138*E^5 + 138*x))/45,x]","\frac{1}{9} \left(3 x+e^{\frac{23 x}{5}+1}+3 e^5+34\right)^2","\left(\frac{1}{3} \left(e^{\frac{23 x}{5}+1}+1\right)+x+e^5+11\right)^2",1,"(34 + 3*E^5 + E^(1 + (23*x)/5) + 3*x)^2/9","A",1
1627,1,7,7,0.0030982,"\int -e^{9-x} \, dx","Integrate[-E^(9 - x),x]","e^{9-x}","e^{9-x}",1,"E^(9 - x)","A",1
1628,0,0,35,1.2279975,"\int \frac{-54 x-6 e^6 x+162 x^2-108 x^3+e^3 \left(-36 x+54 x^2\right)+2^{60/x} x^{60/x} \left(2 x-6 x^2+4 x^3\right)+2^{20/x} x^{20/x} \left(54 x-162 x^2+108 x^3+e^6 (-40+2 x)+e^3 \left(-120+144 x-36 x^2\right)+\left(40 e^6+e^3 (120-120 x)\right) \log (2 x)\right)+2^{40/x} x^{40/x} \left(-18 x+54 x^2-36 x^3+e^3 \left(40-44 x+6 x^2\right)+e^3 (-40+40 x) \log (2 x)\right)}{-27+27\ 2^{20/x} x^{20/x}-9\ 2^{40/x} x^{40/x}+2^{60/x} x^{60/x}} \, dx","Integrate[(-54*x - 6*E^6*x + 162*x^2 - 108*x^3 + E^3*(-36*x + 54*x^2) + 2^(60/x)*x^(60/x)*(2*x - 6*x^2 + 4*x^3) + 2^(20/x)*x^(20/x)*(54*x - 162*x^2 + 108*x^3 + E^6*(-40 + 2*x) + E^3*(-120 + 144*x - 36*x^2) + (40*E^6 + E^3*(120 - 120*x))*Log[2*x]) + 2^(40/x)*x^(40/x)*(-18*x + 54*x^2 - 36*x^3 + E^3*(40 - 44*x + 6*x^2) + E^3*(-40 + 40*x)*Log[2*x]))/(-27 + 27*2^(20/x)*x^(20/x) - 9*2^(40/x)*x^(40/x) + 2^(60/x)*x^(60/x)),x]","\int \frac{-54 x-6 e^6 x+162 x^2-108 x^3+e^3 \left(-36 x+54 x^2\right)+2^{60/x} x^{60/x} \left(2 x-6 x^2+4 x^3\right)+2^{20/x} x^{20/x} \left(54 x-162 x^2+108 x^3+e^6 (-40+2 x)+e^3 \left(-120+144 x-36 x^2\right)+\left(40 e^6+e^3 (120-120 x)\right) \log (2 x)\right)+2^{40/x} x^{40/x} \left(-18 x+54 x^2-36 x^3+e^3 \left(40-44 x+6 x^2\right)+e^3 (-40+40 x) \log (2 x)\right)}{-27+27\ 2^{20/x} x^{20/x}-9\ 2^{40/x} x^{40/x}+2^{60/x} x^{60/x}} \, dx","x^2 \left(\frac{e^3}{3-2^{20/x} x^{20/x}}-x+1\right)^2",1,"Integrate[(-54*x - 6*E^6*x + 162*x^2 - 108*x^3 + E^3*(-36*x + 54*x^2) + 2^(60/x)*x^(60/x)*(2*x - 6*x^2 + 4*x^3) + 2^(20/x)*x^(20/x)*(54*x - 162*x^2 + 108*x^3 + E^6*(-40 + 2*x) + E^3*(-120 + 144*x - 36*x^2) + (40*E^6 + E^3*(120 - 120*x))*Log[2*x]) + 2^(40/x)*x^(40/x)*(-18*x + 54*x^2 - 36*x^3 + E^3*(40 - 44*x + 6*x^2) + E^3*(-40 + 40*x)*Log[2*x]))/(-27 + 27*2^(20/x)*x^(20/x) - 9*2^(40/x)*x^(40/x) + 2^(60/x)*x^(60/x)), x]","F",-1
1629,1,9,9,0.0503258,"\int \frac{e^x (1-x)}{e^{2 x}+2 e^x x+x^2} \, dx","Integrate[(E^x*(1 - x))/(E^(2*x) + 2*E^x*x + x^2),x]","\frac{x}{x+e^x}","\frac{x}{x+e^x}",1,"x/(E^x + x)","A",1
1630,1,36,28,0.9503477,"\int \frac{-1+e^{e^{e^{4 x}}} \left(-20 x+4 e^x x+e^{e^{4 x}+4 x} \left(16 x-4 e^x x\right)\right)+5 x \log (x)}{e^{e^{e^{4 x}}} \left(-20 x+5 e^x x\right)+5 x \log (x)} \, dx","Integrate[(-1 + E^E^E^(4*x)*(-20*x + 4*E^x*x + E^(E^(4*x) + 4*x)*(16*x - 4*E^x*x)) + 5*x*Log[x])/(E^E^E^(4*x)*(-20*x + 5*E^x*x) + 5*x*Log[x]),x]","\frac{1}{5} \left(5 x-\log \left(-4 e^{e^{e^{4 x}}}+e^{x+e^{e^{4 x}}}+\log (x)\right)\right)","x-\frac{1}{5} \log \left(\log (x)-e^{e^{e^{4 x}}} \left(4-e^x\right)\right)",1,"(5*x - Log[-4*E^E^E^(4*x) + E^(E^E^(4*x) + x) + Log[x]])/5","A",1
1631,1,26,29,1.125487,"\int \frac{512 x^5+768 x^6+256 x^7+e^x \left(-512 x^3+512 x^4+1152 x^5+384 x^6\right)+\left(-1024 x^4-1280 x^5-384 x^6+e^x \left(-1024 x^3-1280 x^4-384 x^5\right)\right) \log \left(\frac{e^x+x}{x}\right)}{-e^x x^3-x^4+\left(3 e^x x^2+3 x^3\right) \log \left(\frac{e^x+x}{x}\right)+\left(-3 e^x x-3 x^2\right) \log ^2\left(\frac{e^x+x}{x}\right)+\left(e^x+x\right) \log ^3\left(\frac{e^x+x}{x}\right)} \, dx","Integrate[(512*x^5 + 768*x^6 + 256*x^7 + E^x*(-512*x^3 + 512*x^4 + 1152*x^5 + 384*x^6) + (-1024*x^4 - 1280*x^5 - 384*x^6 + E^x*(-1024*x^3 - 1280*x^4 - 384*x^5))*Log[(E^x + x)/x])/(-(E^x*x^3) - x^4 + (3*E^x*x^2 + 3*x^3)*Log[(E^x + x)/x] + (-3*E^x*x - 3*x^2)*Log[(E^x + x)/x]^2 + (E^x + x)*Log[(E^x + x)/x]^3),x]","-\frac{64 x^4 (x+2)^2}{\left(\log \left(\frac{x+e^x}{x}\right)-x\right)^2}","-\frac{64 (x+2)^2 x^4}{\left(x-\log \left(\frac{x+e^x}{x}\right)\right)^2}+e-3",1,"(-64*x^4*(2 + x)^2)/(-x + Log[(E^x + x)/x])^2","A",1
1632,1,36,35,0.0374555,"\int \frac{3440-2592 x-872 x^2+1288 x^3-256 x^4-128 x^5+73 x^6-14 x^7+x^8+\left(80+96 x-84 x^2+16 x^3\right) \log (5)}{3600-2400 x-1040 x^2+1320 x^3-256 x^4-128 x^5+73 x^6-14 x^7+x^8} \, dx","Integrate[(3440 - 2592*x - 872*x^2 + 1288*x^3 - 256*x^4 - 128*x^5 + 73*x^6 - 14*x^7 + x^8 + (80 + 96*x - 84*x^2 + 16*x^3)*Log[5])/(3600 - 2400*x - 1040*x^2 + 1320*x^3 - 256*x^4 - 128*x^5 + 73*x^6 - 14*x^7 + x^8),x]","\frac{4 (17182+229489 \log (5)-119040 \log (25))}{8591 \left(x^4-7 x^3+12 x^2+20 x-60\right)}+x","x-\frac{2-\log (5)}{(3-x) \left(5-\frac{1}{4} x \left(4 x-x^2\right)\right)}",1,"x + (4*(17182 + 229489*Log[5] - 119040*Log[25]))/(8591*(-60 + 20*x + 12*x^2 - 7*x^3 + x^4))","A",1
1633,1,31,25,1.5286472,"\int \frac{e^{12+4 x} (5+10 x)+e^{6+2 x} \left(-10 x+10 x^2\right)}{x^4+e^{6+2 x} \left(18 x^2-2 x^3-2 x^4\right)+e^{12+4 x} \left(81-18 x-17 x^2+2 x^3+x^4\right)} \, dx","Integrate[(E^(12 + 4*x)*(5 + 10*x) + E^(6 + 2*x)*(-10*x + 10*x^2))/(x^4 + E^(6 + 2*x)*(18*x^2 - 2*x^3 - 2*x^4) + E^(12 + 4*x)*(81 - 18*x - 17*x^2 + 2*x^3 + x^4)),x]","-\frac{5 e^{2 x+6}}{e^{2 x+6} \left(x^2+x-9\right)-x^2}","\frac{5}{e^{-2 x-6} x^2-x^2-x+9}",1,"(-5*E^(6 + 2*x))/(-x^2 + E^(6 + 2*x)*(-9 + x + x^2))","A",1
1634,1,18,20,0.0361143,"\int \frac{160 e^{1+\frac{5 e}{4 x \log (3)}}}{-125 x^2 \log (3)+75 e^{\frac{5 e}{4 x \log (3)}} x^2 \log (3)-15 e^{\frac{5 e}{2 x \log (3)}} x^2 \log (3)+e^{\frac{15 e}{4 x \log (3)}} x^2 \log (3)} \, dx","Integrate[(160*E^(1 + (5*E)/(4*x*Log[3])))/(-125*x^2*Log[3] + 75*E^((5*E)/(4*x*Log[3]))*x^2*Log[3] - 15*E^((5*E)/(2*x*Log[3]))*x^2*Log[3] + E^((15*E)/(4*x*Log[3]))*x^2*Log[3]),x]","\frac{64}{\left(e^{\frac{5 e}{x \log (81)}}-5\right)^2}","\frac{64}{\left(e^{\frac{5 e}{4 x \log (3)}}-5\right)^2}",1,"64/(-5 + E^((5*E)/(x*Log[81])))^2","A",1
1635,1,26,26,0.1438323,"\int \frac{e^{e^x} \left(5-6 x+x^2\right) \log (16)+\left(-5+6 x-x^2\right) \log \left(25-10 x+x^2\right)+\left(2 x+e^{e^x+x} \left(5 x-x^2\right) \log (16)\right) \log \left(e^{-x} x\right) \log \left(\log \left(e^{-x} x\right)\right)}{\left(-5 x+x^2\right) \log \left(e^{-x} x\right)} \, dx","Integrate[(E^E^x*(5 - 6*x + x^2)*Log[16] + (-5 + 6*x - x^2)*Log[25 - 10*x + x^2] + (2*x + E^(E^x + x)*(5*x - x^2)*Log[16])*Log[x/E^x]*Log[Log[x/E^x]])/((-5*x + x^2)*Log[x/E^x]),x]","\left(\log \left((x-5)^2\right)-e^{e^x} \log (16)\right) \log \left(\log \left(e^{-x} x\right)\right)","\left(\log \left((x-5)^2\right)-e^{e^x} \log (16)\right) \log \left(\log \left(e^{-x} x\right)\right)",1,"(-(E^E^x*Log[16]) + Log[(-5 + x)^2])*Log[Log[x/E^x]]","A",1
1636,1,32,27,0.0611093,"\int \frac{e^2 \left(-8-18 x-10 x^2-x^3\right)+e^2 (8+4 x) \log \left(\frac{4+2 x}{x}\right)}{32+32 x+10 x^2+x^3} \, dx","Integrate[(E^2*(-8 - 18*x - 10*x^2 - x^3) + E^2*(8 + 4*x)*Log[(4 + 2*x)/x])/(32 + 32*x + 10*x^2 + x^3),x]","-e^2 \left(x+\frac{4 \left(\log \left(\frac{4}{x}+2\right)+4\right)}{x+4}+\log (x)-\log (x+2)\right)","\frac{e^2 x \left(x-\log \left(3-\frac{x-4}{x}\right)\right)}{-x-4}",1,"-(E^2*(x + (4*(4 + Log[2 + 4/x]))/(4 + x) + Log[x] - Log[2 + x]))","A",1
1637,1,24,23,1.8289458,"\int \frac{-64 x-16 x^2-8 x^3+e^{e^x+x} \left(-8 x^2-4 x^3\right)+(128+64 x) \log (2+x)}{32 x^2+48 x^3+24 x^4+4 x^5+e^{2 e^x} \left(2 x^2+x^3\right)+\left(256 x+256 x^2+64 x^3\right) \log (2+x)+(512+256 x) \log ^2(2+x)+e^{e^x} \left(16 x^2+16 x^3+4 x^4+\left(64 x+32 x^2\right) \log (2+x)\right)} \, dx","Integrate[(-64*x - 16*x^2 - 8*x^3 + E^(E^x + x)*(-8*x^2 - 4*x^3) + (128 + 64*x)*Log[2 + x])/(32*x^2 + 48*x^3 + 24*x^4 + 4*x^5 + E^(2*E^x)*(2*x^2 + x^3) + (256*x + 256*x^2 + 64*x^3)*Log[2 + x] + (512 + 256*x)*Log[2 + x]^2 + E^E^x*(16*x^2 + 16*x^3 + 4*x^4 + (64*x + 32*x^2)*Log[2 + x])),x]","\frac{4 x}{x \left(2 x+e^{e^x}+4\right)+16 \log (x+2)}","\frac{4}{2 x+e^{e^x}+\frac{16 \log (x+2)}{x}+4}",1,"(4*x)/(x*(4 + E^E^x + 2*x) + 16*Log[2 + x])","A",1
1638,1,20,24,0.1125103,"\int \frac{-1-2 x^2-2 e^2 x^2}{\left(-x+2 x^3+2 e^2 x^3\right) \log \left(\frac{-1+2 x^2+2 e^2 x^2}{2 x+2 e^2 x}\right)} \, dx","Integrate[(-1 - 2*x^2 - 2*E^2*x^2)/((-x + 2*x^3 + 2*E^2*x^3)*Log[(-1 + 2*x^2 + 2*E^2*x^2)/(2*x + 2*E^2*x)]),x]","-\log \left(\log \left(x-\frac{1}{2 e^2 x+2 x}\right)\right)","\log \left(\frac{6}{\log \left(x+\frac{1}{2 \left(-1-e^2\right) x}\right)}\right)",1,"-Log[Log[x - (2*x + 2*E^2*x)^(-1)]]","A",1
1639,1,21,28,0.6055583,"\int \frac{e^{3 e^{\frac{x}{1+x}}-x} \left(1+x+3 e^{\frac{x}{1+x}} x-x^2-x^3\right)}{1+2 x+x^2} \, dx","Integrate[(E^(3*E^(x/(1 + x)) - x)*(1 + x + 3*E^(x/(1 + x))*x - x^2 - x^3))/(1 + 2*x + x^2),x]","e^{3 e^{1-\frac{1}{x+1}}-x} x","e^{3 \left(e^{\frac{x^2}{x^2+x}}+1\right)-x-3} x+3",1,"E^(3*E^(1 - (1 + x)^(-1)) - x)*x","A",1
1640,1,28,32,1.2103367,"\int \frac{-875-350 x+100 x^2+68 x^3+13 x^4+\left(-25-10 x+5 x^2+2 x^3\right) \log \left(5-x^2\right)}{e^3 \left(-6125-2800 x+1255 x^2+640 x^3-11 x^4-16 x^5+x^6\right)+e^3 \left(-350-80 x+80 x^2+16 x^3-2 x^4\right) \log \left(5-x^2\right)+e^3 \left(-5+x^2\right) \log ^2\left(5-x^2\right)} \, dx","Integrate[(-875 - 350*x + 100*x^2 + 68*x^3 + 13*x^4 + (-25 - 10*x + 5*x^2 + 2*x^3)*Log[5 - x^2])/(E^3*(-6125 - 2800*x + 1255*x^2 + 640*x^3 - 11*x^4 - 16*x^5 + x^6) + E^3*(-350 - 80*x + 80*x^2 + 16*x^3 - 2*x^4)*Log[5 - x^2] + E^3*(-5 + x^2)*Log[5 - x^2]^2),x]","\frac{x (x+5)}{e^3 \left(-x^2+\log \left(5-x^2\right)+8 x+35\right)}","\frac{x}{e^3 \left(\frac{-x^2+\log \left(5-x^2\right)+x}{x+5}+7\right)}+1",1,"(x*(5 + x))/(E^3*(35 + 8*x - x^2 + Log[5 - x^2]))","A",1
1641,1,26,28,0.1948348,"\int \frac{x^2+\exp \left(e^{e^{\frac{e^{-15-5 x+25 x^2}+x^2}{x}}}+e^{\frac{e^{-15-5 x+25 x^2}+x^2}{x}}+\frac{e^{-15-5 x+25 x^2}+x^2}{x}\right) \left(x^2+e^{-15-5 x+25 x^2} \left(-1-5 x+50 x^2\right)\right)}{x^2} \, dx","Integrate[(x^2 + E^(E^E^((E^(-15 - 5*x + 25*x^2) + x^2)/x) + E^((E^(-15 - 5*x + 25*x^2) + x^2)/x) + (E^(-15 - 5*x + 25*x^2) + x^2)/x)*(x^2 + E^(-15 - 5*x + 25*x^2)*(-1 - 5*x + 50*x^2)))/x^2,x]","e^{e^{e^{\frac{e^{25 x^2-5 x-15}}{x}+x}}}+x","e^{e^{e^{\frac{e^{5 \left(5 x^2-x-3\right)}}{x}+x}}}+x",1,"E^E^E^(E^(-15 - 5*x + 25*x^2)/x + x) + x","A",1
1642,1,48,33,0.3967533,"\int \frac{1}{24} e^{-1-\frac{x^2+x^3}{2 e}} \left(12 e+48 e^{1+\frac{x^2+x^3}{2 e}}-12 x^2-18 x^3+\left(2 x+3 x^2\right) \log (3)\right) \, dx","Integrate[(E^(-1 - (x^2 + x^3)/(2*E))*(12*E + 48*E^(1 + (x^2 + x^3)/(2*E)) - 12*x^2 - 18*x^3 + (2*x + 3*x^2)*Log[3]))/24,x]","\frac{1}{24} \left(\frac{e^{-\frac{x^2 (x+1)}{2 e}} \left(36 x^2-2 x (\log (27)-12)-2 \log (9)\right)}{3 x+2}+48 x\right)","2 x-\frac{1}{4} e^{-\frac{x \left(x^2+x\right)}{2 e}} \left(\frac{\log (3)}{3}-2 x\right)",1,"(48*x + (36*x^2 - 2*Log[9] - 2*x*(-12 + Log[27]))/(E^((x^2*(1 + x))/(2*E))*(2 + 3*x)))/24","A",1
1643,1,17,19,0.0240399,"\int \frac{1}{4} \left(-4+e^{\frac{1}{4} \left(e^x+4 x\right)} \left(4+e^x\right)-4 \log (x)\right) \, dx","Integrate[(-4 + E^((E^x + 4*x)/4)*(4 + E^x) - 4*Log[x])/4,x]","e^{x+\frac{e^x}{4}}-x \log (x)","e^{\frac{1}{4} \left(4 x+e^x\right)}-x \log (x)",1,"E^(E^x/4 + x) - x*Log[x]","A",1
1644,1,29,22,0.134771,"\int \frac{\exp \left(3+x \log \left(\frac{e+40 x+40 \log (2)+(5 x+5 \log (2)) \log (x)}{8+\log (x)}\right)\right) \left(-e+320 x+80 x \log (x)+5 x \log ^2(x)+\left(8 e+320 x+320 \log (2)+(e+80 x+80 \log (2)) \log (x)+(5 x+5 \log (2)) \log ^2(x)\right) \log \left(\frac{e+40 x+40 \log (2)+(5 x+5 \log (2)) \log (x)}{8+\log (x)}\right)\right)}{8 e+320 x+320 \log (2)+(e+80 x+80 \log (2)) \log (x)+(5 x+5 \log (2)) \log ^2(x)} \, dx","Integrate[(E^(3 + x*Log[(E + 40*x + 40*Log[2] + (5*x + 5*Log[2])*Log[x])/(8 + Log[x])])*(-E + 320*x + 80*x*Log[x] + 5*x*Log[x]^2 + (8*E + 320*x + 320*Log[2] + (E + 80*x + 80*Log[2])*Log[x] + (5*x + 5*Log[2])*Log[x]^2)*Log[(E + 40*x + 40*Log[2] + (5*x + 5*Log[2])*Log[x])/(8 + Log[x])]))/(8*E + 320*x + 320*Log[2] + (E + 80*x + 80*Log[2])*Log[x] + (5*x + 5*Log[2])*Log[x]^2),x]","e^3 \left(\frac{5 \log (x) (x+\log (2))+40 (x+\log (2))+e}{\log (x)+8}\right)^x","e^{x \log \left(5 (x+\log (2))+\frac{e}{\log (x)+8}\right)+3}",1,"E^3*((E + 40*(x + Log[2]) + 5*(x + Log[2])*Log[x])/(8 + Log[x]))^x","A",1
1645,1,24,22,0.5045941,"\int \frac{-4 x^3+x^{\frac{2 \left(-3+3 x^2\right)}{x}} \left(-6-x+6 x^2+\left(6+6 x^2\right) \log (x)\right)}{-4 x^4+x^{2+\frac{2 \left(-3+3 x^2\right)}{x}}} \, dx","Integrate[(-4*x^3 + x^((2*(-3 + 3*x^2))/x)*(-6 - x + 6*x^2 + (6 + 6*x^2)*Log[x]))/(-4*x^4 + x^(2 + (2*(-3 + 3*x^2))/x)),x]","\log \left(x^{\frac{6 \left(x^2-1\right)}{x}}-4 x^2\right)-\log (x)","\log \left(\frac{1}{4} x^{6 \left(x-\frac{1}{x}\right)-1}-x\right)",1,"-Log[x] + Log[-4*x^2 + x^((6*(-1 + x^2))/x)]","A",1
1646,1,63,24,0.3632601,"\int \frac{4 \log (x)+\left(-2 x+6 x^3+2 x \log (x)\right) \log \left(x^2\right)+(2-4 \log (x)) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)}{\left(3 x^4-x^2 \log (x)\right) \log \left(x^2\right)+x \log (x) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)} \, dx","Integrate[(4*Log[x] + (-2*x + 6*x^3 + 2*x*Log[x])*Log[x^2] + (2 - 4*Log[x])*Log[x^2]*Log[Log[x^2]])/((3*x^4 - x^2*Log[x])*Log[x^2] + x*Log[x]*Log[x^2]*Log[Log[x^2]]),x]","2 \left(\log \left(-6 x^3+2 x \left(\log (x)-\frac{\log \left(x^2\right)}{2}\right)+x \log \left(x^2\right)-2 \left(\log (x)-\frac{\log \left(x^2\right)}{2}\right) \log \left(\log \left(x^2\right)\right)-\log \left(x^2\right) \log \left(\log \left(x^2\right)\right)\right)-2 \log (x)\right)","\log \left(\left(\frac{\log (x) \left(x-\log \left(\log \left(x^2\right)\right)\right)}{x^2}-3 x\right)^2\right)+5",1,"2*(-2*Log[x] + Log[-6*x^3 + 2*x*(Log[x] - Log[x^2]/2) + x*Log[x^2] - 2*(Log[x] - Log[x^2]/2)*Log[Log[x^2]] - Log[x^2]*Log[Log[x^2]]])","B",1
1647,1,48,29,0.0968013,"\int \frac{-4 x^2 \log ^2(10)+4 x^2 \log (10) \log ^2(3 x) \log \left(\frac{5 e^3+x^2}{e^3}\right)+\left(-20 e^3-4 x^2\right) \log (10) \log (3 x) \log ^2\left(\frac{5 e^3+x^2}{e^3}\right)+\left(5 e^3+x^2\right) \log ^3\left(\frac{5 e^3+x^2}{e^3}\right)+\left(20 e^3+4 x^2\right) \log ^3(3 x) \log ^3\left(\frac{5 e^3+x^2}{e^3}\right)}{\left(5 e^3 x+x^3\right) \log ^3\left(\frac{5 e^3+x^2}{e^3}\right)} \, dx","Integrate[(-4*x^2*Log[10]^2 + 4*x^2*Log[10]*Log[3*x]^2*Log[(5*E^3 + x^2)/E^3] + (-20*E^3 - 4*x^2)*Log[10]*Log[3*x]*Log[(5*E^3 + x^2)/E^3]^2 + (5*E^3 + x^2)*Log[(5*E^3 + x^2)/E^3]^3 + (20*E^3 + 4*x^2)*Log[3*x]^3*Log[(5*E^3 + x^2)/E^3]^3)/((5*E^3*x + x^3)*Log[(5*E^3 + x^2)/E^3]^3),x]","-\frac{2 \log (10) \log ^2(3 x)}{\log \left(\frac{x^2}{e^3}+5\right)}+\frac{\log ^2(10)}{\log ^2\left(\frac{x^2}{e^3}+5\right)}+\log ^4(3 x)+\log (x)","\left(\frac{\log (10)}{\log \left(\frac{x^2}{e^3}+5\right)}-\log ^2(3 x)\right)^2+\log (x)",1,"Log[x] + Log[3*x]^4 + Log[10]^2/Log[5 + x^2/E^3]^2 - (2*Log[10]*Log[3*x]^2)/Log[5 + x^2/E^3]","A",1
1648,1,21,18,0.0030344,"\int \left(-4+2 x+\log \left(\frac{4}{9} e^{2 e^3} x\right)\right) \, dx","Integrate[-4 + 2*x + Log[(4*E^(2*E^3)*x)/9],x]","x^2+2 e^3 x-5 x+x \log \left(\frac{4 x}{9}\right)","x \left(x+\log \left(\frac{4}{9} e^{2 e^3} x\right)-5\right)",1,"-5*x + 2*E^3*x + x^2 + x*Log[(4*x)/9]","A",1
1649,1,18,18,0.0127952,"\int \frac{e^{-\frac{-e^5+2 x}{x}} \left(e^5 (-3-x)-9 x-2 x^2\right)}{x^5} \, dx","Integrate[(E^5*(-3 - x) - 9*x - 2*x^2)/(E^((-E^5 + 2*x)/x)*x^5),x]","\frac{e^{\frac{e^5}{x}-2} (x+3)}{x^3}","\frac{e^{\frac{e^5}{x}-2} (x+3)}{x^3}",1,"(E^(-2 + E^5/x)*(3 + x))/x^3","A",1
1650,1,15,17,0.0458302,"\int \frac{-2 \log (x)-\log \left(\frac{5 x}{4}\right)+(-x+x \log (x)) \log ^3\left(\frac{5 x}{4}\right)}{x \log ^2(x) \log ^3\left(\frac{5 x}{4}\right)} \, dx","Integrate[(-2*Log[x] - Log[(5*x)/4] + (-x + x*Log[x])*Log[(5*x)/4]^3)/(x*Log[x]^2*Log[(5*x)/4]^3),x]","\frac{x+\frac{1}{\log ^2\left(\frac{5 x}{4}\right)}}{\log (x)}","\frac{x+\frac{1}{\log ^2\left(\frac{5 x}{4}\right)}}{\log (x)}+2",1,"(x + Log[(5*x)/4]^(-2))/Log[x]","A",1
1651,1,24,26,0.1338425,"\int \frac{-2+2 x+e^x \left(-x-3 x^2\right)+\left(1+e^x x^2\right) \log (x)}{9 x^2 \log (2)-6 x^2 \log (2) \log (x)+x^2 \log (2) \log ^2(x)} \, dx","Integrate[(-2 + 2*x + E^x*(-x - 3*x^2) + (1 + E^x*x^2)*Log[x])/(9*x^2*Log[2] - 6*x^2*Log[2]*Log[x] + x^2*Log[2]*Log[x]^2),x]","\frac{e^x x-2 x-1}{x \log (2) (\log (x)-3)}","-\frac{\left(2-e^x\right) x+1}{x \log (2) (\log (x)-3)}",1,"(-1 - 2*x + E^x*x)/(x*Log[2]*(-3 + Log[x]))","A",1
1652,1,10,10,0.0000634,"\int \frac{5}{9+e^3} \, dx","Integrate[5/(9 + E^3),x]","\frac{5 x}{9+e^3}","\frac{5 x}{9+e^3}",1,"(5*x)/(9 + E^3)","A",1
1653,1,22,23,0.0239942,"\int \frac{e^{\frac{256 e^x x}{\log ^4(2)}} \left(e^x \left(256 x-4096 x^2-4352 x^3\right)+(1-34 x) \log ^4(2)\right)}{5 \log ^4(2)} \, dx","Integrate[(E^((256*E^x*x)/Log[2]^4)*(E^x*(256*x - 4096*x^2 - 4352*x^3) + (1 - 34*x)*Log[2]^4))/(5*Log[2]^4),x]","-\frac{1}{5} x (17 x-1) e^{\frac{256 e^x x}{\log ^4(2)}}","\frac{1}{5} \left(x-17 x^2\right) e^{\frac{256 e^x x}{\log ^4(2)}}",1,"-1/5*(E^((256*E^x*x)/Log[2]^4)*x*(-1 + 17*x))","A",1
1654,1,70,22,0.0157545,"\int \frac{4 x+12 x^2+\left(4 x+8 x^2\right) \log (x)+3 x \log ^2(x)+(1+x) \log ^3(x)+\left(8 x+4 x \log (x)+3 \log ^2(x)\right) \log (3 x)}{4 x} \, dx","Integrate[(4*x + 12*x^2 + (4*x + 8*x^2)*Log[x] + 3*x*Log[x]^2 + (1 + x)*Log[x]^3 + (8*x + 4*x*Log[x] + 3*Log[x]^2)*Log[3*x])/(4*x),x]","x^2+x^2 \log (x)+\frac{\log ^4(x)}{4}+\frac{1}{4} x \log ^3(x)+\frac{1}{12} \log (27) \log ^3(x)+x \log ^2(x)+x \log (x)+\frac{1}{4} x \log (81) \log (x)+\frac{1}{4} x \log (6561)-\frac{1}{4} x \log (81)","\left(x+\log (x) \left(x+\frac{\log ^2(x)}{4}\right)\right) (x+\log (3 x))",1,"x^2 - (x*Log[81])/4 + (x*Log[6561])/4 + x*Log[x] + x^2*Log[x] + (x*Log[81]*Log[x])/4 + x*Log[x]^2 + (x*Log[x]^3)/4 + (Log[27]*Log[x]^3)/12 + Log[x]^4/4","B",1
1655,1,27,26,0.7022445,"\int \frac{125-3000 x+1275 x^2-600 x^3+500 x^4+125 x^5+50 x^6+25 x^7+\left(-125 x-50 x^2-75 x^3\right) \log (x)}{1250 x+1000 x^3+300 x^5+40 x^7+2 x^9+\left(100 x+40 x^3+4 x^5\right) \log (x)+2 x \log ^2(x)} \, dx","Integrate[(125 - 3000*x + 1275*x^2 - 600*x^3 + 500*x^4 + 125*x^5 + 50*x^6 + 25*x^7 + (-125*x - 50*x^2 - 75*x^3)*Log[x])/(1250*x + 1000*x^3 + 300*x^5 + 40*x^7 + 2*x^9 + (100*x + 40*x^3 + 4*x^5)*Log[x] + 2*x*Log[x]^2),x]","-\frac{25 \left(x^3+x^2+5 x+5\right)}{2 \left(\left(x^2+5\right)^2+\log (x)\right)}","\frac{25 (-x-1)}{2 \left(x^2+\frac{\log (x)}{x^2+5}+5\right)}",1,"(-25*(5 + 5*x + x^2 + x^3))/(2*((5 + x^2)^2 + Log[x]))","A",1
1656,1,29,27,0.0261671,"\int \frac{4-4 e^3+2 x^2+e^{x^4} \left(-2+8 x^4\right)}{x^2+2 e^5 x^2} \, dx","Integrate[(4 - 4*E^3 + 2*x^2 + E^x^4*(-2 + 8*x^4))/(x^2 + 2*E^5*x^2),x]","\frac{2 \left(e^{x^4}+x^2+2 e^3-2\right)}{\left(1+2 e^5\right) x}","\frac{2 \left(e^{x^4}+x^2+2 e^3-2\right)}{2 e^5 x+x}",1,"(2*(-2 + 2*E^3 + E^x^4 + x^2))/((1 + 2*E^5)*x)","A",1
1657,1,23,26,0.1299103,"\int \frac{\left(5 x+4 e^3 x\right) \log (x)+\left(-19+e^3 (8-4 x)-5 x\right) \log \left(\frac{1}{5} \left(38+10 x+e^3 (-16+8 x)\right)\right)}{\left(19 x+5 x^2+e^3 \left(-8 x+4 x^2\right)\right) \log ^2(x)} \, dx","Integrate[((5*x + 4*E^3*x)*Log[x] + (-19 + E^3*(8 - 4*x) - 5*x)*Log[(38 + 10*x + E^3*(-16 + 8*x))/5])/((19*x + 5*x^2 + E^3*(-8*x + 4*x^2))*Log[x]^2),x]","\frac{\log \left(\frac{2}{5} \left(4 e^3 (x-2)+5 x+19\right)\right)}{\log (x)}","\frac{\log \left(2 \left(-\frac{4}{5} \left(e^3 (2-x)-1\right)+x+3\right)\right)}{\log (x)}",1,"Log[(2*(19 + 4*E^3*(-2 + x) + 5*x))/5]/Log[x]","A",1
1658,1,21,22,0.3918234,"\int \frac{12+e^{e^x} \left(2-20 e^{2 x}+e^x (20-2 x)\right)+e^x (80+40 x)}{36+e^{2 e^x}+24 x+4 x^2+e^{e^x} (12+4 x)} \, dx","Integrate[(12 + E^E^x*(2 - 20*E^(2*x) + E^x*(20 - 2*x)) + E^x*(80 + 40*x))/(36 + E^(2*E^x) + 24*x + 4*x^2 + E^E^x*(12 + 4*x)),x]","\frac{2 \left(x+10 e^x\right)}{2 x+e^{e^x}+6}","\frac{2 x+20 e^x}{2 x+e^{e^x}+6}",1,"(2*(10*E^x + x))/(6 + E^E^x + 2*x)","A",1
1659,0,0,28,0.4623676,"\int \frac{e^{\frac{1}{-x-4 \log (3)+\log \left(x+e^x \log \left(x^2\right)\right)}} \left(e^x (-16-4 x)-8 x+6 x^2+2 x^3+2 x^4+16 x^3 \log (3)+32 x^2 \log ^2(3)+e^x \left(2 x^3+16 x^2 \log (3)+32 x \log ^2(3)\right) \log \left(x^2\right)+\left(-4 x^3-16 x^2 \log (3)+e^x \left(-4 x^2-16 x \log (3)\right) \log \left(x^2\right)\right) \log \left(x+e^x \log \left(x^2\right)\right)+\left(2 x^2+2 e^x x \log \left(x^2\right)\right) \log ^2\left(x+e^x \log \left(x^2\right)\right)\right)}{x^4+8 x^3 \log (3)+16 x^2 \log ^2(3)+e^x \left(x^3+8 x^2 \log (3)+16 x \log ^2(3)\right) \log \left(x^2\right)+\left(-2 x^3-8 x^2 \log (3)+e^x \left(-2 x^2-8 x \log (3)\right) \log \left(x^2\right)\right) \log \left(x+e^x \log \left(x^2\right)\right)+\left(x^2+e^x x \log \left(x^2\right)\right) \log ^2\left(x+e^x \log \left(x^2\right)\right)} \, dx","Integrate[(E^(-x - 4*Log[3] + Log[x + E^x*Log[x^2]])^(-1)*(E^x*(-16 - 4*x) - 8*x + 6*x^2 + 2*x^3 + 2*x^4 + 16*x^3*Log[3] + 32*x^2*Log[3]^2 + E^x*(2*x^3 + 16*x^2*Log[3] + 32*x*Log[3]^2)*Log[x^2] + (-4*x^3 - 16*x^2*Log[3] + E^x*(-4*x^2 - 16*x*Log[3])*Log[x^2])*Log[x + E^x*Log[x^2]] + (2*x^2 + 2*E^x*x*Log[x^2])*Log[x + E^x*Log[x^2]]^2))/(x^4 + 8*x^3*Log[3] + 16*x^2*Log[3]^2 + E^x*(x^3 + 8*x^2*Log[3] + 16*x*Log[3]^2)*Log[x^2] + (-2*x^3 - 8*x^2*Log[3] + E^x*(-2*x^2 - 8*x*Log[3])*Log[x^2])*Log[x + E^x*Log[x^2]] + (x^2 + E^x*x*Log[x^2])*Log[x + E^x*Log[x^2]]^2),x]","\int \frac{e^{\frac{1}{-x-4 \log (3)+\log \left(x+e^x \log \left(x^2\right)\right)}} \left(e^x (-16-4 x)-8 x+6 x^2+2 x^3+2 x^4+16 x^3 \log (3)+32 x^2 \log ^2(3)+e^x \left(2 x^3+16 x^2 \log (3)+32 x \log ^2(3)\right) \log \left(x^2\right)+\left(-4 x^3-16 x^2 \log (3)+e^x \left(-4 x^2-16 x \log (3)\right) \log \left(x^2\right)\right) \log \left(x+e^x \log \left(x^2\right)\right)+\left(2 x^2+2 e^x x \log \left(x^2\right)\right) \log ^2\left(x+e^x \log \left(x^2\right)\right)\right)}{x^4+8 x^3 \log (3)+16 x^2 \log ^2(3)+e^x \left(x^3+8 x^2 \log (3)+16 x \log ^2(3)\right) \log \left(x^2\right)+\left(-2 x^3-8 x^2 \log (3)+e^x \left(-2 x^2-8 x \log (3)\right) \log \left(x^2\right)\right) \log \left(x+e^x \log \left(x^2\right)\right)+\left(x^2+e^x x \log \left(x^2\right)\right) \log ^2\left(x+e^x \log \left(x^2\right)\right)} \, dx","2 (x+4) e^{\frac{1}{\log \left(e^x \log \left(x^2\right)+x\right)-x-4 \log (3)}}",1,"Integrate[(E^(-x - 4*Log[3] + Log[x + E^x*Log[x^2]])^(-1)*(E^x*(-16 - 4*x) - 8*x + 6*x^2 + 2*x^3 + 2*x^4 + 16*x^3*Log[3] + 32*x^2*Log[3]^2 + E^x*(2*x^3 + 16*x^2*Log[3] + 32*x*Log[3]^2)*Log[x^2] + (-4*x^3 - 16*x^2*Log[3] + E^x*(-4*x^2 - 16*x*Log[3])*Log[x^2])*Log[x + E^x*Log[x^2]] + (2*x^2 + 2*E^x*x*Log[x^2])*Log[x + E^x*Log[x^2]]^2))/(x^4 + 8*x^3*Log[3] + 16*x^2*Log[3]^2 + E^x*(x^3 + 8*x^2*Log[3] + 16*x*Log[3]^2)*Log[x^2] + (-2*x^3 - 8*x^2*Log[3] + E^x*(-2*x^2 - 8*x*Log[3])*Log[x^2])*Log[x + E^x*Log[x^2]] + (x^2 + E^x*x*Log[x^2])*Log[x + E^x*Log[x^2]]^2), x]","F",-1
1660,1,20,20,0.025242,"\int \frac{4-x+x^2+e (-1+2 x)+\left(4-x+x^2\right) \log (x)}{e \left(4-x+x^2\right)} \, dx","Integrate[(4 - x + x^2 + E*(-1 + 2*x) + (4 - x + x^2)*Log[x])/(E*(4 - x + x^2)),x]","\frac{e \log \left(x^2-x+4\right)+x \log (x)}{e}","\log \left(x^2-x+4\right)+\frac{x \log (x)-4}{e}",1,"(x*Log[x] + E*Log[4 - x + x^2])/E","A",1
1661,0,0,18,0.2590086,"\int \frac{\left(-8 x+4 x^2\right) \log (-2+x) \log \left(\frac{1}{2} (1+2 x)\right)+\left(-2 x-4 x^2+\left(2+3 x-2 x^2\right) \log (-2+x)\right) \log ^2\left(\frac{1}{2} (1+2 x)\right)}{\left(-2 x^2-3 x^3+2 x^4\right) \log ^3(-2+x)} \, dx","Integrate[((-8*x + 4*x^2)*Log[-2 + x]*Log[(1 + 2*x)/2] + (-2*x - 4*x^2 + (2 + 3*x - 2*x^2)*Log[-2 + x])*Log[(1 + 2*x)/2]^2)/((-2*x^2 - 3*x^3 + 2*x^4)*Log[-2 + x]^3),x]","\int \frac{\left(-8 x+4 x^2\right) \log (-2+x) \log \left(\frac{1}{2} (1+2 x)\right)+\left(-2 x-4 x^2+\left(2+3 x-2 x^2\right) \log (-2+x)\right) \log ^2\left(\frac{1}{2} (1+2 x)\right)}{\left(-2 x^2-3 x^3+2 x^4\right) \log ^3(-2+x)} \, dx","\frac{\log ^2\left(x+\frac{1}{2}\right)}{x \log ^2(x-2)}",1,"Integrate[((-8*x + 4*x^2)*Log[-2 + x]*Log[(1 + 2*x)/2] + (-2*x - 4*x^2 + (2 + 3*x - 2*x^2)*Log[-2 + x])*Log[(1 + 2*x)/2]^2)/((-2*x^2 - 3*x^3 + 2*x^4)*Log[-2 + x]^3), x]","F",-1
1662,1,16,18,0.0119377,"\int \frac{-260+2376 (20-9 x)^{22}+117 x}{-20+9 x} \, dx","Integrate[(-260 + 2376*(20 - 9*x)^22 + 117*x)/(-20 + 9*x),x]","12 (20-9 x)^{22}+13 x-\frac{260}{9}","x+12 \left((5 (4-2 x)+x)^{22}+x\right)-2",1,"-260/9 + 12*(20 - 9*x)^22 + 13*x","A",1
1663,1,4,9,0.0002712,"\int -\frac{1}{x} \, dx","Integrate[-x^(-1),x]","-\log (x)","\log \left(\frac{1944}{e^5 x}\right)",1,"-Log[x]","A",1
1664,1,18,24,0.0062395,"\int \frac{-6+16 x-12 x^2}{-21+3 x-4 x^2+2 x^3} \, dx","Integrate[(-6 + 16*x - 12*x^2)/(-21 + 3*x - 4*x^2 + 2*x^3),x]","-2 \log \left(-2 x^3+4 x^2-3 x+21\right)","\log \left(\frac{1}{\left(2 \left(\frac{1}{3} (2-x) x^2+4\right)-x-1\right)^2}\right)",1,"-2*Log[21 - 3*x + 4*x^2 - 2*x^3]","A",1
1665,1,26,24,0.2846226,"\int \frac{24 x^3-18 e^{2 x} x^3-8 x^5+e^x \left(-27 x^2-9 x^3+24 x^4\right)}{9-12 x^2+9 e^{2 x} x^2+4 x^4+e^x \left(18 x-12 x^3\right)} \, dx","Integrate[(24*x^3 - 18*E^(2*x)*x^3 - 8*x^5 + E^x*(-27*x^2 - 9*x^3 + 24*x^4))/(9 - 12*x^2 + 9*E^(2*x)*x^2 + 4*x^4 + E^x*(18*x - 12*x^3)),x]","\frac{3 x^2}{-2 x^2+3 e^x x+3}-x^2","\frac{x^2}{-\frac{1}{\left(e^x-\frac{2 x}{3}\right) x}-1}",1,"-x^2 + (3*x^2)/(3 + 3*E^x*x - 2*x^2)","A",1
1666,1,32,27,0.0208611,"\int \frac{135 x+40 x^6+15 x^7+e^4 \left(40 x^4+15 x^5\right)+e^2 \left(90+80 x^5+30 x^6\right)}{e^4 x^3+2 e^2 x^4+x^5} \, dx","Integrate[(135*x + 40*x^6 + 15*x^7 + E^4*(40*x^4 + 15*x^5) + E^2*(90 + 80*x^5 + 30*x^6))/(E^4*x^3 + 2*E^2*x^4 + x^5),x]","\frac{5 \left(x^6+4 x^5+e^2 (x+4) x^4-9\right)}{x^2 \left(x+e^2\right)}","5 x^2 (x+4)-4 \left(\frac{45}{4 x^2 \left(x+e^2\right)}+5\right)",1,"(5*(-9 + 4*x^5 + x^6 + E^2*x^4*(4 + x)))/(x^2*(E^2 + x))","A",1
1667,1,11,21,0.0391452,"\int \frac{-64-48 x-16 x^2-32 x \log (x)}{-64 x+48 x^2-12 x^3+x^4} \, dx","Integrate[(-64 - 48*x - 16*x^2 - 32*x*Log[x])/(-64*x + 48*x^2 - 12*x^3 + x^4),x]","\frac{16 (x+\log (x))}{(x-4)^2}","\frac{x^2 (x+\log (x))}{\left(x-\frac{x^2}{4}\right)^2}+10",1,"(16*(x + Log[x]))/(-4 + x)^2","A",1
1668,1,18,22,0.019391,"\int \frac{-4 e-8 e \log \left(\frac{1}{x}\right)}{144 x^2-24 x \log (5)+\log ^2(5)+\left(192 x^2-16 x \log (5)\right) \log \left(\frac{1}{x}\right)+64 x^2 \log ^2\left(\frac{1}{x}\right)} \, dx","Integrate[(-4*E - 8*E*Log[x^(-1)])/(144*x^2 - 24*x*Log[5] + Log[5]^2 + (192*x^2 - 16*x*Log[5])*Log[x^(-1)] + 64*x^2*Log[x^(-1)]^2),x]","-\frac{e}{-12 x-8 x \log \left(\frac{1}{x}\right)+\log (5)}","\frac{e}{4 x \left(2 \left(\log \left(\frac{1}{x}\right)-1\right)+5\right)-\log (5)}",1,"-(E/(-12*x + Log[5] - 8*x*Log[x^(-1)]))","A",1
1669,1,51,24,0.1115359,"\int \frac{1}{4} \left(16+e^{\frac{1}{4} \left(-100 x-4 x^2+x \log (4)\right)} \left(4-100 x-8 x^2+x \log (4)\right)\right) \, dx","Integrate[(16 + E^((-100*x - 4*x^2 + x*Log[4])/4)*(4 - 100*x - 8*x^2 + x*Log[4]))/4,x]","\frac{e^{x \left(\frac{\log (2)}{2}-25\right)-x^2} \left(x (\log (4)-100)-8 x^2\right)}{4 \left(-2 x-25+\frac{\log (2)}{2}\right)}+4 x","8 x+x \left(e^{x \left(\frac{1}{4} (\log (4)-4 x)-25\right)}-4\right)",1,"4*x + (E^(-x^2 + x*(-25 + Log[2]/2))*(-8*x^2 + x*(-100 + Log[4])))/(4*(-25 - 2*x + Log[2]/2))","B",1
1670,1,19,17,0.0015972,"\int \frac{1}{25} (40-2 x-10 \log (2)) \, dx","Integrate[(40 - 2*x - 10*Log[2])/25,x]","-\frac{2}{25} \left(\frac{x^2}{2}-20 x+x \log (32)\right)","\frac{11}{3}-\left(\frac{x}{5}-4+\log (2)\right)^2",1,"(-2*(-20*x + x^2/2 + x*Log[32]))/25","A",1
1671,1,12,16,0.0099963,"\int e^{-6+2 x} \left(-8 x^7-2 x^8\right) \, dx","Integrate[E^(-6 + 2*x)*(-8*x^7 - 2*x^8),x]","-e^{2 x-6} x^8","\frac{5}{2}-e^{2 x-6} x^8",1,"-(E^(-6 + 2*x)*x^8)","A",1
1672,1,30,20,0.0182431,"\int \frac{46+56 x+12 x^2-6 x^3-2 x^4+e^3 \left(-16-24 x-12 x^2-2 x^3\right)}{8+12 x+6 x^2+x^3} \, dx","Integrate[(46 + 56*x + 12*x^2 - 6*x^3 - 2*x^4 + E^3*(-16 - 24*x - 12*x^2 - 2*x^3))/(8 + 12*x + 6*x^2 + x^3),x]","-2 \left(\frac{1}{2} (x+2)^2+\left(e^3-5\right) (x+2)-\frac{1}{2 (x+2)^2}\right)","\frac{1}{(x+2)^2}-\left(-x-e^3+3\right)^2",1,"-2*(-1/2*1/(2 + x)^2 + (-5 + E^3)*(2 + x) + (2 + x)^2/2)","A",1
1673,1,23,22,0.0000801,"\int \frac{-9+5 \log \left(\frac{1}{4} \left(6+e^4-\log (2)\right)\right)}{\log \left(\frac{1}{4} \left(6+e^4-\log (2)\right)\right)} \, dx","Integrate[(-9 + 5*Log[(6 + E^4 - Log[2])/4])/Log[(6 + E^4 - Log[2])/4],x]","5 x-\frac{9 x}{\log \left(\frac{1}{4} \left(6+e^4-\log (2)\right)\right)}","x \left(5-\frac{9}{\log \left(\frac{1}{4} \left(6+e^4-\log (2)\right)\right)}\right)",1,"5*x - (9*x)/Log[(6 + E^4 - Log[2])/4]","A",1
1674,1,104,40,0.3044453,"\int \frac{300 x^3+300 x^4+\left(-3600 x^2-4500 x^3-900 x^4\right) \log \left(\frac{1+x}{3}\right)+\left(14400 x+21600 x^2+8100 x^3+900 x^4\right) \log ^2\left(\frac{1+x}{3}\right)+\left(-19200-33600 x-18000 x^2-3900 x^3-300 x^4\right) \log ^3\left(\frac{1+x}{3}\right)+\log ^2\left(x^2\right) \left(-30 x^4+\left(120 x^3+30 x^4\right) \log \left(\frac{1+x}{3}\right)+\left(120 x^2+120 x^3\right) \log ^2\left(\frac{1+x}{3}\right)+\left(-480 x-600 x^2-120 x^3\right) \log ^3\left(\frac{1+x}{3}\right)\right)+\log ^3\left(x^2\right) \left(-6 x^4 \log \left(\frac{1+x}{3}\right)+\left(24 x^2+24 x^3\right) \log ^3\left(\frac{1+x}{3}\right)\right)+\log \left(x^2\right) \left(\left(60 x^3+60 x^4\right) \log \left(\frac{1+x}{3}\right)+\left(-480 x^2-600 x^3-120 x^4\right) \log ^2\left(\frac{1+x}{3}\right)+\left(960 x+1440 x^2+540 x^3+60 x^4\right) \log ^3\left(\frac{1+x}{3}\right)\right)}{\log ^3\left(x^2\right) \left(-5 x^4-5 x^5+\left(60 x^3+75 x^4+15 x^5\right) \log \left(\frac{1+x}{3}\right)+\left(-240 x^2-360 x^3-135 x^4-15 x^5\right) \log ^2\left(\frac{1+x}{3}\right)+\left(320 x+560 x^2+300 x^3+65 x^4+5 x^5\right) \log ^3\left(\frac{1+x}{3}\right)\right)} \, dx","Integrate[(300*x^3 + 300*x^4 + (-3600*x^2 - 4500*x^3 - 900*x^4)*Log[(1 + x)/3] + (14400*x + 21600*x^2 + 8100*x^3 + 900*x^4)*Log[(1 + x)/3]^2 + (-19200 - 33600*x - 18000*x^2 - 3900*x^3 - 300*x^4)*Log[(1 + x)/3]^3 + Log[x^2]^2*(-30*x^4 + (120*x^3 + 30*x^4)*Log[(1 + x)/3] + (120*x^2 + 120*x^3)*Log[(1 + x)/3]^2 + (-480*x - 600*x^2 - 120*x^3)*Log[(1 + x)/3]^3) + Log[x^2]^3*(-6*x^4*Log[(1 + x)/3] + (24*x^2 + 24*x^3)*Log[(1 + x)/3]^3) + Log[x^2]*((60*x^3 + 60*x^4)*Log[(1 + x)/3] + (-480*x^2 - 600*x^3 - 120*x^4)*Log[(1 + x)/3]^2 + (960*x + 1440*x^2 + 540*x^3 + 60*x^4)*Log[(1 + x)/3]^3))/(Log[x^2]^3*(-5*x^4 - 5*x^5 + (60*x^3 + 75*x^4 + 15*x^5)*Log[(1 + x)/3] + (-240*x^2 - 360*x^3 - 135*x^4 - 15*x^5)*Log[(1 + x)/3]^2 + (320*x + 560*x^2 + 300*x^3 + 65*x^4 + 5*x^5)*Log[(1 + x)/3]^3)),x]","-\frac{6}{5} \left(\frac{x^2+8 (x+2) \log ^2\left(\frac{x+1}{3}\right)-2 (x+4) x \log \left(\frac{x+1}{3}\right)}{2 \left(x-(x+4) \log \left(\frac{x+1}{3}\right)\right)^2}-\frac{25}{2 \log ^2\left(x^2\right)}+\frac{5 x \log \left(\frac{x+1}{3}\right)}{\log \left(x^2\right) \left((x+4) \log \left(\frac{x+1}{3}\right)-x\right)}\right)","3 \left(\frac{1}{5} \left(\frac{5}{\log \left(x^2\right)}+\frac{x}{-x+\frac{x}{\log \left(\frac{x+1}{3}\right)}-4}\right)^2+1\right)",1,"(-6*(-25/(2*Log[x^2]^2) + (5*x*Log[(1 + x)/3])/(Log[x^2]*(-x + (4 + x)*Log[(1 + x)/3])) + (x^2 - 2*x*(4 + x)*Log[(1 + x)/3] + 8*(2 + x)*Log[(1 + x)/3]^2)/(2*(x - (4 + x)*Log[(1 + x)/3])^2)))/5","B",1
1675,1,6,10,0.000433,"\int -\frac{1}{3 x} \, dx","Integrate[-1/3*1/x,x]","-\frac{\log (x)}{3}","\frac{1}{3} (1-\log (x))",1,"-1/3*Log[x]","A",1
1676,1,18,20,0.1059097,"\int \frac{-e^8 x+\left(x^2\right)^{\frac{25 e^8-10 x^2}{e^8}} \left(50 e^8-20 x^2-20 x^2 \log \left(x^2\right)\right)}{e^8 x} \, dx","Integrate[(-(E^8*x) + (x^2)^((25*E^8 - 10*x^2)/E^8)*(50*E^8 - 20*x^2 - 20*x^2*Log[x^2]))/(E^8*x),x]","\left(x^2\right)^{25-\frac{10 x^2}{e^8}}-x","\left(x^2\right)^{5 \left(5-\frac{2 x^2}{e^8}\right)}-x",1,"-x + (x^2)^(25 - (10*x^2)/E^8)","A",1
1677,1,30,36,0.5109873,"\int \frac{e^{\frac{1+2 x+x^2}{4 x^2}} \left(-1-x-4 x^2\right)+4 x^2 \log (2)+\left(-2 e^{\frac{1+2 x+x^2}{4 x^2}} x^2+2 x^2 \log (2)\right) \log \left(\frac{e^{e^2}}{e^{\frac{1+2 x+x^2}{4 x^2}}-\log (2)}\right)}{2 e^{\frac{1+2 x+x^2}{4 x^2}} x^2-2 x^2 \log (2)} \, dx","Integrate[(E^((1 + 2*x + x^2)/(4*x^2))*(-1 - x - 4*x^2) + 4*x^2*Log[2] + (-2*E^((1 + 2*x + x^2)/(4*x^2))*x^2 + 2*x^2*Log[2])*Log[E^E^2/(E^((1 + 2*x + x^2)/(4*x^2)) - Log[2])])/(2*E^((1 + 2*x + x^2)/(4*x^2))*x^2 - 2*x^2*Log[2]),x]","-x \left(\log \left(\frac{1}{e^{\frac{(x+1)^2}{4 x^2}}-\log (2)}\right)+e^2+2\right)","x \left(-\log \left(\frac{e^{e^2}}{e^{\frac{(x+1)^2}{4 x^2}}-\log (2)}\right)\right)-2 x+1",1,"-(x*(2 + E^2 + Log[(E^((1 + x)^2/(4*x^2)) - Log[2])^(-1)]))","A",1
1678,1,22,20,0.0095667,"\int \left(-4 e^x+2 e^{2 x}+\log \left(\frac{5 x}{2}\right)\right) \, dx","Integrate[-4*E^x + 2*E^(2*x) + Log[(5*x)/2],x]","-x-4 e^x+e^{2 x}+x \log \left(\frac{5 x}{2}\right)","\left(e^x-2\right)^2-x+x \log \left(\frac{5 x}{2}\right)+27",1,"-4*E^x + E^(2*x) - x + x*Log[(5*x)/2]","A",1
1679,1,15,22,0.002554,"\int \frac{-1+e^2 x+\frac{2 \left(-1+e^2 x\right)^2}{e^4}}{-1+e^2 x} \, dx","Integrate[(-1 + E^2*x + (2*(-1 + E^2*x)^2)/E^4)/(-1 + E^2*x),x]","\frac{x^2}{e^2}-\frac{2 x}{e^4}+x","x+e^{2 \left(\log \left(e^2 x-1\right)-3\right)}-e^5-1",1,"x - (2*x)/E^4 + x^2/E^2","A",1
1680,1,41,22,0.0431644,"\int \frac{-432-288 x-81 x^3+3 e^{12} x^3-81 x^4-27 x^5-3 x^6+e^8 \left(-27 x^3-9 x^4\right)+e^4 \left(144+81 x^3+54 x^4+9 x^5\right)}{-27 x^3+e^{12} x^3-27 x^4-9 x^5-x^6+e^8 \left(-9 x^3-3 x^4\right)+e^4 \left(27 x^3+18 x^4+3 x^5\right)} \, dx","Integrate[(-432 - 288*x - 81*x^3 + 3*E^12*x^3 - 81*x^4 - 27*x^5 - 3*x^6 + E^8*(-27*x^3 - 9*x^4) + E^4*(144 + 81*x^3 + 54*x^4 + 9*x^5))/(-27*x^3 + E^12*x^3 - 27*x^4 - 9*x^5 - x^6 + E^8*(-9*x^3 - 3*x^4) + E^4*(27*x^3 + 18*x^4 + 3*x^5)),x]","\frac{3 \left(x^5-2 \left(e^4-3\right) x^4+\left(e^4-3\right)^2 x^3-24\right)}{x^2 \left(x-e^4+3\right)^2}","3 x-\frac{8}{\left(\frac{1}{3} \left(x-e^4\right) x+x\right)^2}",1,"(3*(-24 + (-3 + E^4)^2*x^3 - 2*(-3 + E^4)*x^4 + x^5))/(x^2*(3 - E^4 + x)^2)","A",1
1681,1,23,24,0.0312189,"\int \frac{-10546875 e^{x/6}-3125000 x^3+1875000 x^4-405000 x^5+37800 x^6-1296 x^7+e^{x/8} \left(-84375000+9703125 x+1265625 x^2\right)+e^{x/12} \left(-84375000 x+26859375 x^2-1586250 x^3-50625 x^4\right)+e^{x/24} \left(-28125000 x^2+13109375 x^3-1884375 x^4+80325 x^5+675 x^6\right)}{781250} \, dx","Integrate[(-10546875*E^(x/6) - 3125000*x^3 + 1875000*x^4 - 405000*x^5 + 37800*x^6 - 1296*x^7 + E^(x/8)*(-84375000 + 9703125*x + 1265625*x^2) + E^(x/12)*(-84375000*x + 26859375*x^2 - 1586250*x^3 - 50625*x^4) + E^(x/24)*(-28125000*x^2 + 13109375*x^3 - 1884375*x^4 + 80325*x^5 + 675*x^6))/781250,x]","-\frac{\left((25-3 x) x+75 e^{x/24}\right)^4}{390625}","3-\left(-\frac{3 x^2}{25}+x+3 e^{x/24}\right)^4",1,"-1/390625*(75*E^(x/24) + (25 - 3*x)*x)^4","A",1
1682,1,19,19,0.3140941,"\int \frac{48 x+48 x^2+\left(-24 x^2-24 x \log (x)\right) \log (x+\log (x)) \log \left(16 \log ^2(x+\log (x))\right)+(x+\log (x)) \log (x+\log (x)) \log ^3\left(16 \log ^2(x+\log (x))\right)}{(x+\log (x)) \log (x+\log (x)) \log ^3\left(16 \log ^2(x+\log (x))\right)} \, dx","Integrate[(48*x + 48*x^2 + (-24*x^2 - 24*x*Log[x])*Log[x + Log[x]]*Log[16*Log[x + Log[x]]^2] + (x + Log[x])*Log[x + Log[x]]*Log[16*Log[x + Log[x]]^2]^3)/((x + Log[x])*Log[x + Log[x]]*Log[16*Log[x + Log[x]]^2]^3),x]","x-\frac{12 x^2}{\log ^2\left(16 \log ^2(x+\log (x))\right)}","x-\frac{12 x^2}{\log ^2\left(16 \log ^2(x+\log (x))\right)}",1,"x - (12*x^2)/Log[16*Log[x + Log[x]]^2]^2","A",1
1683,1,25,26,0.051174,"\int \frac{1}{5} \left(10+e^{5-e^{10}-x-x^2} (-2-4 x)\right) \, dx","Integrate[(10 + E^(5 - E^10 - x - x^2)*(-2 - 4*x))/5,x]","\frac{2}{5} e^{-x^2-x-e^{10}+5}+2 x","2 \left(\frac{1}{5} e^{-x^2-x-e^{10}+5}+x+2\right)",1,"(2*E^(5 - E^10 - x - x^2))/5 + 2*x","A",1
1684,1,28,26,0.0064336,"\int \frac{1}{5} \left(8-160 e^x+40 e^{2 x}+20 x+30 x^2\right) \, dx","Integrate[(8 - 160*E^x + 40*E^(2*x) + 20*x + 30*x^2)/5,x]","2 x^3+2 x^2+\frac{8 x}{5}-32 e^x+4 e^{2 x}","4 \left(\frac{1}{2} x \left(x^2+x\right)+\left(e^x-4\right)^2+\frac{2 x}{5}-5\right)",1,"-32*E^x + 4*E^(2*x) + (8*x)/5 + 2*x^2 + 2*x^3","A",1
1685,1,15,19,0.0047475,"\int \frac{3-8 x+x^2-2 x^3}{3+x^2} \, dx","Integrate[(3 - 8*x + x^2 - 2*x^3)/(3 + x^2),x]","-x^2-\log \left(x^2+3\right)+x","-\log \left(e^{x^2+4} \left(x^2+3\right)\right)+x+2",1,"x - x^2 - Log[3 + x^2]","A",1
1686,1,29,34,0.0696397,"\int \frac{-12+84 x-40 x^2+5 x^3+\left(-160 x+80 x^2-10 x^3\right) \log (x)+\left(4-x+\left(80 x-40 x^2+5 x^3\right) \log (x)\right) \log \left(\frac{-1+\left(-20 x+5 x^2\right) \log (x)}{-12 x^2+3 x^3}\right)}{4-x+\left(80 x-40 x^2+5 x^3\right) \log (x)} \, dx","Integrate[(-12 + 84*x - 40*x^2 + 5*x^3 + (-160*x + 80*x^2 - 10*x^3)*Log[x] + (4 - x + (80*x - 40*x^2 + 5*x^3)*Log[x])*Log[(-1 + (-20*x + 5*x^2)*Log[x])/(-12*x^2 + 3*x^3)])/(4 - x + (80*x - 40*x^2 + 5*x^3)*Log[x]),x]","x \log \left(\frac{5 (x-4) x \log (x)-1}{3 (x-4) x^2}\right)-x","-x+x \log \left(\frac{5 \left(\frac{1}{5 (4-x) x}+\log (x)\right)}{3 x}\right)+e^5",1,"-x + x*Log[(-1 + 5*(-4 + x)*x*Log[x])/(3*(-4 + x)*x^2)]","A",1
1687,1,21,21,0.9306759,"\int \exp \left(\exp \left(2 (-5-x) \log (x)+2 \log (x) \log \left(3 e^x \log ^2(x)\right)\right) x^2+2 (-5-x) \log (x)+2 \log (x) \log \left(3 e^x \log ^2(x)\right)\right) \left(-4 x-2 x^2+2 x \log \left(3 e^x \log ^2(x)\right)\right) \, dx","Integrate[E^(E^(2*(-5 - x)*Log[x] + 2*Log[x]*Log[3*E^x*Log[x]^2])*x^2 + 2*(-5 - x)*Log[x] + 2*Log[x]*Log[3*E^x*Log[x]^2])*(-4*x - 2*x^2 + 2*x*Log[3*E^x*Log[x]^2]),x]","e^{x^{-2 x+2 \log \left(3 e^x \log ^2(x)\right)-8}}","e^{x^{-2 x+2 \log \left(3 e^x \log ^2(x)\right)-8}}",1,"E^x^(-8 - 2*x + 2*Log[3*E^x*Log[x]^2])","A",1
1688,1,89,24,0.2827433,"\int \frac{x^6 \left(e^{4 x} \left(8 x+4 x^2\right)+\frac{16 e^{6+3 x} \left(24 x+40 x^2+12 x^3\right)}{x^2}+\frac{256 e^{12+2 x} \left(24 x+72 x^2+60 x^3+12 x^4\right)}{x^4}+\frac{65536 e^{24} \left(1+4 x^2+12 x^3+12 x^4+4 x^5\right)}{x^8}+\frac{4096 e^{18+x} \left(8 x+40 x^2+60 x^3+32 x^4+4 x^5\right)}{x^6}\right)}{65536 e^{24}} \, dx","Integrate[(x^6*(E^(4*x)*(8*x + 4*x^2) + (16*E^(6 + 3*x)*(24*x + 40*x^2 + 12*x^3))/x^2 + (256*E^(12 + 2*x)*(24*x + 72*x^2 + 60*x^3 + 12*x^4))/x^4 + (65536*E^24*(1 + 4*x^2 + 12*x^3 + 12*x^4 + 4*x^5))/x^8 + (4096*E^(18 + x)*(8*x + 40*x^2 + 60*x^3 + 32*x^4 + 4*x^5))/x^6))/(65536*E^24),x]","\frac{e^{4 (x-6)} x^8}{65536}+\frac{e^{3 (x-6)} (x+1) x^6}{1024}+\frac{3}{128} e^{2 (x-6)} (x+1)^2 x^4+x^4+4 x^3+\frac{1}{4} e^{x-6} (x+1)^3 x^2+6 x^2+4 x-\frac{1}{x}","\left(\frac{1}{16} e^{x-6} x^2+x+1\right)^4-\frac{1}{x}+3",1,"-x^(-1) + 4*x + 6*x^2 + 4*x^3 + x^4 + (E^(4*(-6 + x))*x^8)/65536 + (E^(3*(-6 + x))*x^6*(1 + x))/1024 + (3*E^(2*(-6 + x))*x^4*(1 + x)^2)/128 + (E^(-6 + x)*x^2*(1 + x)^3)/4","B",1
1689,1,28,26,0.0081765,"\int \frac{17+60 x+(4+12 x) \log (4)}{20 e^4 x+4 e^4 x \log (4)} \, dx","Integrate[(17 + 60*x + (4 + 12*x)*Log[4])/(20*E^4*x + 4*E^4*x*Log[4]),x]","\frac{12 x (5+\log (4))+(17+\log (256)) \log (x)}{4 e^4 (5+\log (4))}","\frac{3 (x+4)-\frac{1}{4} \left(\frac{3}{5+\log (4)}-4\right) \log (x)}{e^4}",1,"(12*x*(5 + Log[4]) + (17 + Log[256])*Log[x])/(4*E^4*(5 + Log[4]))","A",1
1690,1,16,17,0.042212,"\int \frac{e^{\frac{1}{2 \log (5 x)}}+2 x \log ^2(5 x)}{2 x \log ^2(5 x)} \, dx","Integrate[(E^(1/(2*Log[5*x])) + 2*x*Log[5*x]^2)/(2*x*Log[5*x]^2),x]","x-e^{\frac{1}{2 \log (5 x)}}","x-e^{\frac{1}{2 \log (5 x)}}-4",1,"-E^(1/(2*Log[5*x])) + x","A",1
1691,1,89,27,0.0090715,"\int \left(-16+16 x+96 x^2-112 x^3-80 x^4+96 x^5+e^{32} \left(2 x-6 x^2+4 x^3\right)+e^{16} \left(4-24 x+12 x^2+48 x^3-40 x^4\right)\right) \, dx","Integrate[-16 + 16*x + 96*x^2 - 112*x^3 - 80*x^4 + 96*x^5 + E^32*(2*x - 6*x^2 + 4*x^3) + E^16*(4 - 24*x + 12*x^2 + 48*x^3 - 40*x^4),x]","16 x^6-8 e^{16} x^5-16 x^5+e^{32} x^4+12 e^{16} x^4-28 x^4-2 e^{32} x^3+4 e^{16} x^3+32 x^3+e^{32} x^2-12 e^{16} x^2+8 x^2+4 e^{16} x-16 x","\left(4 x-\frac{2}{x}-e^{16}+2\right)^2 \left(x-x^2\right)^2",1,"-16*x + 4*E^16*x + 8*x^2 - 12*E^16*x^2 + E^32*x^2 + 32*x^3 + 4*E^16*x^3 - 2*E^32*x^3 - 28*x^4 + 12*E^16*x^4 + E^32*x^4 - 16*x^5 - 8*E^16*x^5 + 16*x^6","B",1
1692,1,14,14,0.0238806,"\int 4 e^{-3+3 x+25 x^2} (3+50 x) \, dx","Integrate[4*E^(-3 + 3*x + 25*x^2)*(3 + 50*x),x]","4 e^{25 x^2+3 x-3}","4 e^{25 x^2+3 x-3}",1,"4*E^(-3 + 3*x + 25*x^2)","A",1
1693,1,31,32,0.1826046,"\int \exp \left(e^{-\frac{2+x+2 x^2-\log (4)}{x}} x-\frac{2+x+2 x^2-\log (4)}{x}\right) \left(2+3 x-x^2-2 x^3+e^{\frac{2+x+2 x^2-\log (4)}{x}} (1+2 x)+e^{e^4} \left(2+e^{\frac{2+x+2 x^2-\log (4)}{x}}+x-2 x^2-\log (4)\right)+(-1-x) \log (4)\right) \, dx","Integrate[E^(x/E^((2 + x + 2*x^2 - Log[4])/x) - (2 + x + 2*x^2 - Log[4])/x)*(2 + 3*x - x^2 - 2*x^3 + E^((2 + x + 2*x^2 - Log[4])/x)*(1 + 2*x) + E^E^4*(2 + E^((2 + x + 2*x^2 - Log[4])/x) + x - 2*x^2 - Log[4]) + (-1 - x)*Log[4]),x]","e^{4^{\frac{1}{x}} e^{-2 x-\frac{2}{x}-1} x} x \left(x+e^{e^4}+1\right)","x \left(x+e^{e^4}+1\right) e^{x e^{-2 x-\frac{x+2-\log (4)}{x}}}",1,"E^(4^x^(-1)*E^(-1 - 2/x - 2*x)*x)*x*(1 + E^E^4 + x)","A",1
1694,1,14,14,0.1157176,"\int \frac{e^{729-\frac{e^{2 x}}{x^4}+2 x} (4-2 x)}{x^5} \, dx","Integrate[(E^(729 - E^(2*x)/x^4 + 2*x)*(4 - 2*x))/x^5,x]","e^{729-\frac{e^{2 x}}{x^4}}","e^{729-\frac{e^{2 x}}{x^4}}",1,"E^(729 - E^(2*x)/x^4)","A",1
1695,1,43,31,0.2455733,"\int \frac{\exp \left(-4-2 e^{e^9-x^2-2 x \log (1-x)-\log ^2(1-x)}+2 x\right) \left(-3 x^2+x^3+2 x^4+e^{e^9-x^2-2 x \log (1-x)-\log ^2(1-x)} \left(4 x^5+4 x^4 \log (1-x)\right)\right)}{-1+x} \, dx","Integrate[(E^(-4 - 2*E^(E^9 - x^2 - 2*x*Log[1 - x] - Log[1 - x]^2) + 2*x)*(-3*x^2 + x^3 + 2*x^4 + E^(E^9 - x^2 - 2*x*Log[1 - x] - Log[1 - x]^2)*(4*x^5 + 4*x^4*Log[1 - x])))/(-1 + x),x]","x^3 \exp \left(-2 (1-x)^{-2 x} e^{-x^2-\log ^2(1-x)+e^9}+2 x-4\right)","x^3 e^{2 x-2 e^{e^9-(x+\log (1-x))^2}-4}",1,"E^(-4 - (2*E^(E^9 - x^2 - Log[1 - x]^2))/(1 - x)^(2*x) + 2*x)*x^3","A",1
1696,1,97,24,0.0895555,"\int \frac{-4 x^2+2 x^4+\left(24 x+5 x^2-12 x^3-4 x^4\right) \log (4)+\left(-36-24 x+14 x^2+12 x^3+2 x^4\right) \log ^2(4)}{x^4+\left(-6 x^3-2 x^4\right) \log (4)+\left(9 x^2+6 x^3+x^4\right) \log ^2(4)} \, dx","Integrate[(-4*x^2 + 2*x^4 + (24*x + 5*x^2 - 12*x^3 - 4*x^4)*Log[4] + (-36 - 24*x + 14*x^2 + 12*x^3 + 2*x^4)*Log[4]^2)/(x^4 + (-6*x^3 - 2*x^4)*Log[4] + (9*x^2 + 6*x^3 + x^4)*Log[4]^2),x]","2 x+\frac{36 \log ^2(4)}{x \log ^2(64)}+\frac{36 \log ^4(4)-24 \log ^3(4) (3+\log (64))+\log ^2(4) \left(36-14 \log ^2(64)+48 \log (64)\right)+2 \log ^2(64) \left(2+\log ^2(64)\right)-\log (4) \log (64) (24+5 \log (64))}{(\log (4)-1) \log ^2(64) (x (\log (4)-1)+\log (64))}","2 x+\frac{4}{x}-\frac{x}{(x+3) \log (4)-x}",1,"2*x + (36*Log[4]^2)/(x*Log[64]^2) + (36*Log[4]^4 - 24*Log[4]^3*(3 + Log[64]) - Log[4]*Log[64]*(24 + 5*Log[64]) + Log[4]^2*(36 + 48*Log[64] - 14*Log[64]^2) + 2*Log[64]^2*(2 + Log[64]^2))/((-1 + Log[4])*Log[64]^2*(x*(-1 + Log[4]) + Log[64]))","B",1
1697,1,24,24,0.0251569,"\int \frac{25-20 x+5 e x+4 x^2+e^8 x^4+e^4 \left(10 x^2-4 x^3-e x^3\right)}{e^9 x^5+e \left(25 x-20 x^2+4 x^3\right)+e^5 \left(10 x^3-4 x^4\right)} \, dx","Integrate[(25 - 20*x + 5*E*x + 4*x^2 + E^8*x^4 + E^4*(10*x^2 - 4*x^3 - E*x^3))/(E^9*x^5 + E*(25*x - 20*x^2 + 4*x^3) + E^5*(10*x^3 - 4*x^4)),x]","\frac{\frac{e x}{e^4 x^2-2 x+5}+\log (x)}{e}","\frac{x}{e^4 x^2-2 x+5}+\frac{\log (x)}{e}+5",1,"((E*x)/(5 - 2*x + E^4*x^2) + Log[x])/E","A",1
1698,1,20,20,0.5660806,"\int \frac{10-10 x-5 x^2+e^x (5+5 x)+e^x \left(5+5 x+5 x^2\right) \log (x)}{4 x^2-4 x^3+x^4+e^x \left(4 x^2-2 x^3\right) \log (x)+e^{2 x} x^2 \log ^2(x)} \, dx","Integrate[(10 - 10*x - 5*x^2 + E^x*(5 + 5*x) + E^x*(5 + 5*x + 5*x^2)*Log[x])/(4*x^2 - 4*x^3 + x^4 + E^x*(4*x^2 - 2*x^3)*Log[x] + E^(2*x)*x^2*Log[x]^2),x]","\frac{5 (x+1)}{x \left(x-e^x \log (x)-2\right)}","\frac{5 (x+1)}{x \left(x-e^x \log (x)-2\right)}",1,"(5*(1 + x))/(x*(-2 + x - E^x*Log[x]))","A",1
1699,1,11,19,0.0136424,"\int \frac{1}{x \log \left(\frac{1}{5 x}\right)} \, dx","Integrate[1/(x*Log[1/(5*x)]),x]","-\log \left(\log \left(\frac{1}{5 x}\right)\right)","\frac{1}{25 e^4}-\log \left(\log \left(\frac{1}{5 x}\right)\right)",1,"-Log[Log[1/(5*x)]]","A",1
1700,1,15,18,0.0026854,"\int \frac{5 x^2+30 \log (2)}{x^2 \log (2)} \, dx","Integrate[(5*x^2 + 30*Log[2])/(x^2*Log[2]),x]","\frac{5 \left(x-\frac{\log (64)}{x}\right)}{\log (2)}","\frac{5 \left(\frac{x^2}{\log (2)}-2 x-6\right)}{x}",1,"(5*(x - Log[64]/x))/Log[2]","A",1
1701,1,23,24,0.0962351,"\int \frac{2 x-2 x^2+\frac{1}{27} e^{2 \log (3) \log \left(x^2\right)} (x+(-16+4 x) \log (3))}{x} \, dx","Integrate[(2*x - 2*x^2 + (E^(2*Log[3]*Log[x^2])*(x + (-16 + 4*x)*Log[3]))/27)/x,x]","-x^2+(x-4) 3^{2 \log \left(x^2\right)-3}+2 x","2-(4-x) \left(3^{2 \log \left(x^2\right)-3}-x-2\right)",1,"3^(-3 + 2*Log[x^2])*(-4 + x) + 2*x - x^2","A",1
1702,1,35,35,0.8209502,"\int \frac{-16-32 x-16 x^2+\exp \left(2 x+e^{2 x} \left(3 e^{\frac{2 x}{2+2 x}} x+6 e^{\frac{x}{2+2 x}} x^2+3 x^3\right)\right) \left(-108 x^2-288 x^3-252 x^4-72 x^5+e^{\frac{2 x}{2+2 x}} \left(-36-180 x-180 x^2-72 x^3\right)+e^{\frac{x}{2+2 x}} \left(-144 x-468 x^2-432 x^3-144 x^4\right)\right)}{16 x^2+32 x^3+16 x^4+\exp \left(2 e^{2 x} \left(3 e^{\frac{2 x}{2+2 x}} x+6 e^{\frac{x}{2+2 x}} x^2+3 x^3\right)\right) \left(9+18 x+9 x^2\right)+\exp \left(e^{2 x} \left(3 e^{\frac{2 x}{2+2 x}} x+6 e^{\frac{x}{2+2 x}} x^2+3 x^3\right)\right) \left(24 x+48 x^2+24 x^3\right)} \, dx","Integrate[(-16 - 32*x - 16*x^2 + E^(2*x + E^(2*x)*(3*E^((2*x)/(2 + 2*x))*x + 6*E^(x/(2 + 2*x))*x^2 + 3*x^3))*(-108*x^2 - 288*x^3 - 252*x^4 - 72*x^5 + E^((2*x)/(2 + 2*x))*(-36 - 180*x - 180*x^2 - 72*x^3) + E^(x/(2 + 2*x))*(-144*x - 468*x^2 - 432*x^3 - 144*x^4)))/(16*x^2 + 32*x^3 + 16*x^4 + E^(2*E^(2*x)*(3*E^((2*x)/(2 + 2*x))*x + 6*E^(x/(2 + 2*x))*x^2 + 3*x^3))*(9 + 18*x + 9*x^2) + E^(E^(2*x)*(3*E^((2*x)/(2 + 2*x))*x + 6*E^(x/(2 + 2*x))*x^2 + 3*x^3))*(24*x + 48*x^2 + 24*x^3)),x]","\frac{4}{4 x+3 e^{3 e^{2 x} x \left(x+e^{\frac{x}{2 x+2}}\right)^2}}","\frac{4}{x+3 \left(x+e^{3 e^{2 x} x \left(x+e^{\frac{x}{2 x+2}}\right)^2}\right)}",1,"4/(3*E^(3*E^(2*x)*x*(E^(x/(2 + 2*x)) + x)^2) + 4*x)","A",1
1703,1,12,14,0.0620285,"\int \frac{-x+(2+x) \log \left(\frac{2}{2+x}\right)}{\left(2 x+x^2\right) \log \left(\frac{2}{2+x}\right)} \, dx","Integrate[(-x + (2 + x)*Log[2/(2 + x)])/((2*x + x^2)*Log[2/(2 + x)]),x]","\log (x)+\log \left(\log \left(\frac{2}{x+2}\right)\right)","\log \left(\frac{1}{4} x \log \left(\frac{2}{x+2}\right)\right)",1,"Log[x] + Log[Log[2/(2 + x)]]","A",1
1704,1,30,27,0.6591034,"\int \frac{128 x+e^x \left(-8 x+4 x^2\right)+e^{\frac{1}{4} \left(-x+4 x^3+4 \log (4)\right)} \left(16-192 x^2+e^x \left(-5+12 x^2\right)\right)}{1024-128 e^x+4 e^{2 x}} \, dx","Integrate[(128*x + E^x*(-8*x + 4*x^2) + E^((-x + 4*x^3 + 4*Log[4])/4)*(16 - 192*x^2 + E^x*(-5 + 12*x^2)))/(1024 - 128*E^x + 4*E^(2*x)),x]","-\frac{4 e^{x^3-\frac{x}{4}}-x^2}{16-e^x}","\frac{x^2-4 e^{x^3-\frac{x}{4}}}{16-e^x}",1,"-((4*E^(-1/4*x + x^3) - x^2)/(16 - E^x))","A",1
1705,1,27,25,0.133813,"\int \frac{4 x^5+x^3 \log (x)+\left(-32 x^3 \log \left(\frac{4}{x}\right)+64 x^3 \log \left(\frac{4}{x}\right) \log (x)\right) \log \left(\log \left(\frac{4}{x}\right)\right) \log \left(\log \left(\log \left(\frac{4}{x}\right)\right)\right) \log \left(\log \left(\log \left(\log \left(\frac{4}{x}\right)\right)\right)\right)+\left(2 x^3 \log \left(\frac{4}{x}\right)-4 x^3 \log \left(\frac{4}{x}\right) \log (x)\right) \log \left(\log \left(\frac{4}{x}\right)\right) \log \left(\log \left(\log \left(\frac{4}{x}\right)\right)\right) \log \left(\log \left(\log \left(\log \left(\frac{4}{x}\right)\right)\right)\right) \log \left(\log \left(\log \left(\log \left(\log \left(\frac{4}{x}\right)\right)\right)\right)\right)}{\left(64 x^6 \log \left(\frac{4}{x}\right)+48 x^4 \log \left(\frac{4}{x}\right) \log (x)+12 x^2 \log \left(\frac{4}{x}\right) \log ^2(x)+\log \left(\frac{4}{x}\right) \log ^3(x)\right) \log \left(\log \left(\frac{4}{x}\right)\right) \log \left(\log \left(\log \left(\frac{4}{x}\right)\right)\right) \log \left(\log \left(\log \left(\log \left(\frac{4}{x}\right)\right)\right)\right)} \, dx","Integrate[(4*x^5 + x^3*Log[x] + (-32*x^3*Log[4/x] + 64*x^3*Log[4/x]*Log[x])*Log[Log[4/x]]*Log[Log[Log[4/x]]]*Log[Log[Log[Log[4/x]]]] + (2*x^3*Log[4/x] - 4*x^3*Log[4/x]*Log[x])*Log[Log[4/x]]*Log[Log[Log[4/x]]]*Log[Log[Log[Log[4/x]]]]*Log[Log[Log[Log[Log[4/x]]]]])/((64*x^6*Log[4/x] + 48*x^4*Log[4/x]*Log[x] + 12*x^2*Log[4/x]*Log[x]^2 + Log[4/x]*Log[x]^3)*Log[Log[4/x]]*Log[Log[Log[4/x]]]*Log[Log[Log[Log[4/x]]]]),x]","-\frac{x^4 \left(\log \left(\log \left(\log \left(\log \left(\log \left(\frac{4}{x}\right)\right)\right)\right)\right)-16\right)}{\left(4 x^2+\log (x)\right)^2}","\frac{16-\log \left(\log \left(\log \left(\log \left(\log \left(\frac{4}{x}\right)\right)\right)\right)\right)}{\left(\frac{\log (x)}{x^2}+4\right)^2}",1,"-((x^4*(-16 + Log[Log[Log[Log[Log[4/x]]]]]))/(4*x^2 + Log[x])^2)","A",1
1706,1,17,29,0.0028464,"\int \frac{-378+150 e}{-48+24 x-3 x^2+e \left(16-8 x+x^2\right)} \, dx","Integrate[(-378 + 150*E)/(-48 + 24*x - 3*x^2 + E*(16 - 8*x + x^2)),x]","-\frac{6 (25 e-63)}{(e-3) (x-4)}","\frac{3 \left(3 x-4 \left(\frac{x+2}{3-e}-9\right)+2\right)}{4-x}",1,"(-6*(-63 + 25*E))/((-3 + E)*(-4 + x))","A",1
1707,0,0,31,1.0124511,"\int \frac{\exp \left(\frac{1}{16} \left((1-2 x) \log (2)+(4-8 x) \log \left(\frac{-20+6 x-4 x^2+x^3}{-4+x}\right)\right)\right) \left(-8+80 x-160 x^2+68 x^3-8 x^4+\left(-80+44 x-22 x^2+8 x^3-x^4\right) \log (2)+\left(-320+176 x-88 x^2+32 x^3-4 x^4\right) \log \left(\frac{-20+6 x-4 x^2+x^3}{-4+x}\right)\right)}{640-352 x+176 x^2-64 x^3+8 x^4} \, dx","Integrate[(E^(((1 - 2*x)*Log[2] + (4 - 8*x)*Log[(-20 + 6*x - 4*x^2 + x^3)/(-4 + x)])/16)*(-8 + 80*x - 160*x^2 + 68*x^3 - 8*x^4 + (-80 + 44*x - 22*x^2 + 8*x^3 - x^4)*Log[2] + (-320 + 176*x - 88*x^2 + 32*x^3 - 4*x^4)*Log[(-20 + 6*x - 4*x^2 + x^3)/(-4 + x)]))/(640 - 352*x + 176*x^2 - 64*x^3 + 8*x^4),x]","\int \frac{\exp \left(\frac{1}{16} \left((1-2 x) \log (2)+(4-8 x) \log \left(\frac{-20+6 x-4 x^2+x^3}{-4+x}\right)\right)\right) \left(-8+80 x-160 x^2+68 x^3-8 x^4+\left(-80+44 x-22 x^2+8 x^3-x^4\right) \log (2)+\left(-320+176 x-88 x^2+32 x^3-4 x^4\right) \log \left(\frac{-20+6 x-4 x^2+x^3}{-4+x}\right)\right)}{640-352 x+176 x^2-64 x^3+8 x^4} \, dx","\exp \left(\frac{1}{4} (1-2 x) \left(\log \left(x^2+\frac{x}{x-4}+5\right)+\frac{\log (2)}{4}\right)\right)",1,"Integrate[(E^(((1 - 2*x)*Log[2] + (4 - 8*x)*Log[(-20 + 6*x - 4*x^2 + x^3)/(-4 + x)])/16)*(-8 + 80*x - 160*x^2 + 68*x^3 - 8*x^4 + (-80 + 44*x - 22*x^2 + 8*x^3 - x^4)*Log[2] + (-320 + 176*x - 88*x^2 + 32*x^3 - 4*x^4)*Log[(-20 + 6*x - 4*x^2 + x^3)/(-4 + x)]))/(640 - 352*x + 176*x^2 - 64*x^3 + 8*x^4), x]","F",-1
1708,1,56,20,0.1629511,"\int \frac{-478590418467834594293840-47676770628055685775360 x+69931982822434036162560 x^2-42944775086917313740800 x^3+5269564078649052917760 x^4+5370248695124695449600 x^5-2540552850628977623040 x^6+581300746103480647680 x^7+35766029437092495360 x^8-60238123722237542400 x^9+18071437116671262720 x^{10}-3285715839394775040 x^{11}+273809653282897920 x^{12}+\left(-95718083693566918858768-21454546782625058598912 x+48952387975703825313792 x^2-40797536332571448053760 x^3+6323476894378863501312 x^4+7786860607930808401920 x^5-4318939846069261959168 x^6+1133536454901787262976 x^7+78685264761603489792 x^8-147583403119481978880 x^9+48792880215012409344 x^{10}-9692861726214586368 x^{11}+876190890505273344 x^{12}\right) \log (x)+\left(-2383838531402784288768 x+11363947208645530876416 x^2-14493861591834593387520 x^3+3029999345223205427712 x^4+4698967608234108518400 x^5-3143934152653359808512 x^6+966412490397036576768 x^7+76896963289748865024 x^8-162642934050041364480 x^9+59861635448973557760 x^{10}-13101791909586665472 x^{11}+1293750611761692672 x^{12}\right) \log ^2(x)+\left(874149785280425452032 x^2-2281441176492482292480 x^3+724565060814244776192 x^4+1510382445503820595200 x^5-1270276425314488811520 x^6+470490291377504649216 x^7+43813386060438306816 x^8-106169693060443668480 x^9+44049127971886202880 x^{10}-10729915788023562240 x^{11}+1167113647118352384 x^{12}\right) \log ^3(x)+\left(-134202422146616605440 x^3+86453785665336024432 x^4+272707941549300940800 x^5-307645071755852759040 x^6+143054480486403440640 x^7+16038828825696165888 x^8-45460958996626145280 x^9+21601014678521118720 x^{10}-5929690303907758080 x^{11}+717680770909470720 x^{12}\right) \log ^4(x)+\left(4116846936444572592 x^4+26221917456663552000 x^5-44658155577462497280 x^6+27816148983467335680 x^7+3911909469681991680 x^8-13341803183792455680 x^9+7412112879884697600 x^{10}-2329521190820904960 x^{11}+317661980566487040 x^{12}\right) \log ^5(x)+\left(1048876698266542080 x^5-3597462532628923392 x^6+3377675233706747904 x^7+635685288823323648 x^8-2717774722624389120 x^9+1815967655571750912 x^{10}-667090159189622784 x^{11}+104122538074570752 x^{12}\right) \log ^6(x)+\left(-124050432159618048 x^6+234166560320005632 x^7+66362749932105216 x^8-379429587898859520 x^9+317661980566487040 x^{10}-140300708083531776 x^{11}+25589437323411456 x^{12}\right) \log ^7(x)+\left(7095956373333504 x^7+4038522610999824 x^8-34744279124459520 x^9+38880502829752320 x^{10}-21508363267522560 x^{11}+4715295024033792 x^{12}\right) \log ^8(x)+\left(109149259756752 x^8-1884279687966720 x^9+3171104840724480 x^{10}-2343860099665920 x^{11}+643412576378880 x^{12}\right) \log ^9(x)+\left(-45958041169920 x^9+155108388948480 x^{10}-172342654387200 x^{11}+63192306608640 x^{12}\right) \log ^{10}(x)+\left(3446853087744 x^{10}-7677081877248 x^{11}+4230228789504 x^{12}\right) \log ^{11}(x)+\left(-156675140352 x^{11}+172995467472 x^{12}\right) \log ^{12}(x)+3264065424 x^{12} \log ^{13}(x)}{-1391569403904+23656679866368 x-189253438930944 x^2+946267194654720 x^3-3311935181291520 x^4+8611031471357952 x^5-17222062942715904 x^6+27063241767124992 x^7-33829052208906240 x^8+33829052208906240 x^9-27063241767124992 x^{10}+17222062942715904 x^{11}-8611031471357952 x^{12}+3311935181291520 x^{13}-946267194654720 x^{14}+189253438930944 x^{15}-23656679866368 x^{16}+1391569403904 x^{17}+\left(5914169966592 x-94626719465472 x^2+709700395991040 x^3-3311935181291520 x^4+10763789339197440 x^5-25833094414073856 x^6+47360673092468736 x^7-67658104417812480 x^8+76115367470039040 x^9-67658104417812480 x^{10}+47360673092468736 x^{11}-25833094414073856 x^{12}+10763789339197440 x^{13}-3311935181291520 x^{14}+709700395991040 x^{15}-94626719465472 x^{16}+5914169966592 x^{17}\right) \log (x)+\left(-11828339933184 x^2+177425098997760 x^3-1241975692984320 x^4+5381894669598720 x^5-16145684008796160 x^6+35520504819351552 x^7-59200841365585920 x^8+76115367470039040 x^9-76115367470039040 x^{10}+59200841365585920 x^{11}-35520504819351552 x^{12}+16145684008796160 x^{13}-5381894669598720 x^{14}+1241975692984320 x^{15}-177425098997760 x^{16}+11828339933184 x^{17}\right) \log ^2(x)+\left(14785424916480 x^3-206995948830720 x^4+1345473667399680 x^5-5381894669598720 x^6+14800210341396480 x^7-29600420682792960 x^8+44400631024189440 x^9-50743578313359360 x^{10}+44400631024189440 x^{11}-29600420682792960 x^{12}+14800210341396480 x^{13}-5381894669598720 x^{14}+1345473667399680 x^{15}-206995948830720 x^{16}+14785424916480 x^{17}\right) \log ^3(x)+\left(-12937246801920 x^4+168184208424960 x^5-1009105250549760 x^6+3700052585349120 x^7-9250131463372800 x^8+16650236634071040 x^9-22200315512094720 x^{10}+22200315512094720 x^{11}-16650236634071040 x^{12}+9250131463372800 x^{13}-3700052585349120 x^{14}+1009105250549760 x^{15}-168184208424960 x^{16}+12937246801920 x^{17}\right) \log ^4(x)+\left(8409210421248 x^5-100910525054976 x^6+555007887802368 x^7-1850026292674560 x^8+4162559158517760 x^9-6660094653628416 x^{10}+7770110429233152 x^{11}-6660094653628416 x^{12}+4162559158517760 x^{13}-1850026292674560 x^{14}+555007887802368 x^{15}-100910525054976 x^{16}+8409210421248 x^{17}\right) \log ^5(x)+\left(-4204605210624 x^6+46250657316864 x^7-231253286584320 x^8+693759859752960 x^9-1387519719505920 x^{10}+1942527607308288 x^{11}-1942527607308288 x^{12}+1387519719505920 x^{13}-693759859752960 x^{14}+231253286584320 x^{15}-46250657316864 x^{16}+4204605210624 x^{17}\right) \log ^6(x)+\left(1651809189888 x^7-16518091898880 x^8+74331413544960 x^9-198217102786560 x^{10}+346879929876480 x^{11}-416255915851776 x^{12}+346879929876480 x^{13}-198217102786560 x^{14}+74331413544960 x^{15}-16518091898880 x^{16}+1651809189888 x^{17}\right) \log ^7(x)+\left(-516190371840 x^8+4645713346560 x^9-18582853386240 x^{10}+43359991234560 x^{11}-65039986851840 x^{12}+65039986851840 x^{13}-43359991234560 x^{14}+18582853386240 x^{15}-4645713346560 x^{16}+516190371840 x^{17}\right) \log ^8(x)+\left(129047592960 x^9-1032380743680 x^{10}+3613332602880 x^{11}-7226665205760 x^{12}+9033331507200 x^{13}-7226665205760 x^{14}+3613332602880 x^{15}-1032380743680 x^{16}+129047592960 x^{17}\right) \log ^9(x)+\left(-25809518592 x^{10}+180666630144 x^{11}-541999890432 x^{12}+903333150720 x^{13}-903333150720 x^{14}+541999890432 x^{15}-180666630144 x^{16}+25809518592 x^{17}\right) \log ^{10}(x)+\left(4106059776 x^{11}-24636358656 x^{12}+61590896640 x^{13}-82121195520 x^{14}+61590896640 x^{15}-24636358656 x^{16}+4106059776 x^{17}\right) \log ^{11}(x)+\left(-513257472 x^{12}+2566287360 x^{13}-5132574720 x^{14}+5132574720 x^{15}-2566287360 x^{16}+513257472 x^{17}\right) \log ^{12}(x)+\left(49351680 x^{13}-197406720 x^{14}+296110080 x^{15}-197406720 x^{16}+49351680 x^{17}\right) \log ^{13}(x)+\left(-3525120 x^{14}+10575360 x^{15}-10575360 x^{16}+3525120 x^{17}\right) \log ^{14}(x)+\left(176256 x^{15}-352512 x^{16}+176256 x^{17}\right) \log ^{15}(x)+\left(-5508 x^{16}+5508 x^{17}\right) \log ^{16}(x)+81 x^{17} \log ^{17}(x)} \, dx","Integrate[(-478590418467834594293840 - 47676770628055685775360*x + 69931982822434036162560*x^2 - 42944775086917313740800*x^3 + 5269564078649052917760*x^4 + 5370248695124695449600*x^5 - 2540552850628977623040*x^6 + 581300746103480647680*x^7 + 35766029437092495360*x^8 - 60238123722237542400*x^9 + 18071437116671262720*x^10 - 3285715839394775040*x^11 + 273809653282897920*x^12 + (-95718083693566918858768 - 21454546782625058598912*x + 48952387975703825313792*x^2 - 40797536332571448053760*x^3 + 6323476894378863501312*x^4 + 7786860607930808401920*x^5 - 4318939846069261959168*x^6 + 1133536454901787262976*x^7 + 78685264761603489792*x^8 - 147583403119481978880*x^9 + 48792880215012409344*x^10 - 9692861726214586368*x^11 + 876190890505273344*x^12)*Log[x] + (-2383838531402784288768*x + 11363947208645530876416*x^2 - 14493861591834593387520*x^3 + 3029999345223205427712*x^4 + 4698967608234108518400*x^5 - 3143934152653359808512*x^6 + 966412490397036576768*x^7 + 76896963289748865024*x^8 - 162642934050041364480*x^9 + 59861635448973557760*x^10 - 13101791909586665472*x^11 + 1293750611761692672*x^12)*Log[x]^2 + (874149785280425452032*x^2 - 2281441176492482292480*x^3 + 724565060814244776192*x^4 + 1510382445503820595200*x^5 - 1270276425314488811520*x^6 + 470490291377504649216*x^7 + 43813386060438306816*x^8 - 106169693060443668480*x^9 + 44049127971886202880*x^10 - 10729915788023562240*x^11 + 1167113647118352384*x^12)*Log[x]^3 + (-134202422146616605440*x^3 + 86453785665336024432*x^4 + 272707941549300940800*x^5 - 307645071755852759040*x^6 + 143054480486403440640*x^7 + 16038828825696165888*x^8 - 45460958996626145280*x^9 + 21601014678521118720*x^10 - 5929690303907758080*x^11 + 717680770909470720*x^12)*Log[x]^4 + (4116846936444572592*x^4 + 26221917456663552000*x^5 - 44658155577462497280*x^6 + 27816148983467335680*x^7 + 3911909469681991680*x^8 - 13341803183792455680*x^9 + 7412112879884697600*x^10 - 2329521190820904960*x^11 + 317661980566487040*x^12)*Log[x]^5 + (1048876698266542080*x^5 - 3597462532628923392*x^6 + 3377675233706747904*x^7 + 635685288823323648*x^8 - 2717774722624389120*x^9 + 1815967655571750912*x^10 - 667090159189622784*x^11 + 104122538074570752*x^12)*Log[x]^6 + (-124050432159618048*x^6 + 234166560320005632*x^7 + 66362749932105216*x^8 - 379429587898859520*x^9 + 317661980566487040*x^10 - 140300708083531776*x^11 + 25589437323411456*x^12)*Log[x]^7 + (7095956373333504*x^7 + 4038522610999824*x^8 - 34744279124459520*x^9 + 38880502829752320*x^10 - 21508363267522560*x^11 + 4715295024033792*x^12)*Log[x]^8 + (109149259756752*x^8 - 1884279687966720*x^9 + 3171104840724480*x^10 - 2343860099665920*x^11 + 643412576378880*x^12)*Log[x]^9 + (-45958041169920*x^9 + 155108388948480*x^10 - 172342654387200*x^11 + 63192306608640*x^12)*Log[x]^10 + (3446853087744*x^10 - 7677081877248*x^11 + 4230228789504*x^12)*Log[x]^11 + (-156675140352*x^11 + 172995467472*x^12)*Log[x]^12 + 3264065424*x^12*Log[x]^13)/(-1391569403904 + 23656679866368*x - 189253438930944*x^2 + 946267194654720*x^3 - 3311935181291520*x^4 + 8611031471357952*x^5 - 17222062942715904*x^6 + 27063241767124992*x^7 - 33829052208906240*x^8 + 33829052208906240*x^9 - 27063241767124992*x^10 + 17222062942715904*x^11 - 8611031471357952*x^12 + 3311935181291520*x^13 - 946267194654720*x^14 + 189253438930944*x^15 - 23656679866368*x^16 + 1391569403904*x^17 + (5914169966592*x - 94626719465472*x^2 + 709700395991040*x^3 - 3311935181291520*x^4 + 10763789339197440*x^5 - 25833094414073856*x^6 + 47360673092468736*x^7 - 67658104417812480*x^8 + 76115367470039040*x^9 - 67658104417812480*x^10 + 47360673092468736*x^11 - 25833094414073856*x^12 + 10763789339197440*x^13 - 3311935181291520*x^14 + 709700395991040*x^15 - 94626719465472*x^16 + 5914169966592*x^17)*Log[x] + (-11828339933184*x^2 + 177425098997760*x^3 - 1241975692984320*x^4 + 5381894669598720*x^5 - 16145684008796160*x^6 + 35520504819351552*x^7 - 59200841365585920*x^8 + 76115367470039040*x^9 - 76115367470039040*x^10 + 59200841365585920*x^11 - 35520504819351552*x^12 + 16145684008796160*x^13 - 5381894669598720*x^14 + 1241975692984320*x^15 - 177425098997760*x^16 + 11828339933184*x^17)*Log[x]^2 + (14785424916480*x^3 - 206995948830720*x^4 + 1345473667399680*x^5 - 5381894669598720*x^6 + 14800210341396480*x^7 - 29600420682792960*x^8 + 44400631024189440*x^9 - 50743578313359360*x^10 + 44400631024189440*x^11 - 29600420682792960*x^12 + 14800210341396480*x^13 - 5381894669598720*x^14 + 1345473667399680*x^15 - 206995948830720*x^16 + 14785424916480*x^17)*Log[x]^3 + (-12937246801920*x^4 + 168184208424960*x^5 - 1009105250549760*x^6 + 3700052585349120*x^7 - 9250131463372800*x^8 + 16650236634071040*x^9 - 22200315512094720*x^10 + 22200315512094720*x^11 - 16650236634071040*x^12 + 9250131463372800*x^13 - 3700052585349120*x^14 + 1009105250549760*x^15 - 168184208424960*x^16 + 12937246801920*x^17)*Log[x]^4 + (8409210421248*x^5 - 100910525054976*x^6 + 555007887802368*x^7 - 1850026292674560*x^8 + 4162559158517760*x^9 - 6660094653628416*x^10 + 7770110429233152*x^11 - 6660094653628416*x^12 + 4162559158517760*x^13 - 1850026292674560*x^14 + 555007887802368*x^15 - 100910525054976*x^16 + 8409210421248*x^17)*Log[x]^5 + (-4204605210624*x^6 + 46250657316864*x^7 - 231253286584320*x^8 + 693759859752960*x^9 - 1387519719505920*x^10 + 1942527607308288*x^11 - 1942527607308288*x^12 + 1387519719505920*x^13 - 693759859752960*x^14 + 231253286584320*x^15 - 46250657316864*x^16 + 4204605210624*x^17)*Log[x]^6 + (1651809189888*x^7 - 16518091898880*x^8 + 74331413544960*x^9 - 198217102786560*x^10 + 346879929876480*x^11 - 416255915851776*x^12 + 346879929876480*x^13 - 198217102786560*x^14 + 74331413544960*x^15 - 16518091898880*x^16 + 1651809189888*x^17)*Log[x]^7 + (-516190371840*x^8 + 4645713346560*x^9 - 18582853386240*x^10 + 43359991234560*x^11 - 65039986851840*x^12 + 65039986851840*x^13 - 43359991234560*x^14 + 18582853386240*x^15 - 4645713346560*x^16 + 516190371840*x^17)*Log[x]^8 + (129047592960*x^9 - 1032380743680*x^10 + 3613332602880*x^11 - 7226665205760*x^12 + 9033331507200*x^13 - 7226665205760*x^14 + 3613332602880*x^15 - 1032380743680*x^16 + 129047592960*x^17)*Log[x]^9 + (-25809518592*x^10 + 180666630144*x^11 - 541999890432*x^12 + 903333150720*x^13 - 903333150720*x^14 + 541999890432*x^15 - 180666630144*x^16 + 25809518592*x^17)*Log[x]^10 + (4106059776*x^11 - 24636358656*x^12 + 61590896640*x^13 - 82121195520*x^14 + 61590896640*x^15 - 24636358656*x^16 + 4106059776*x^17)*Log[x]^11 + (-513257472*x^12 + 2566287360*x^13 - 5132574720*x^14 + 5132574720*x^15 - 2566287360*x^16 + 513257472*x^17)*Log[x]^12 + (49351680*x^13 - 197406720*x^14 + 296110080*x^15 - 197406720*x^16 + 49351680*x^17)*Log[x]^13 + (-3525120*x^14 + 10575360*x^15 - 10575360*x^16 + 3525120*x^17)*Log[x]^14 + (176256*x^15 - 352512*x^16 + 176256*x^17)*Log[x]^15 + (-5508*x^16 + 5508*x^17)*Log[x]^16 + 81*x^17*Log[x]^17),x]","\frac{279841 \left(-2916 (4 x+x \log (x)-4)^{12}+136002726 (4 x+x \log (x)-4)^8-2819195470116 (4 x+x \log (x)-4)^4+21914624432020321\right)}{81 (4 x+x \log (x)-4)^{16}}","\frac{1}{81} \left(\frac{279841}{(x (\log (x)+4)-4)^4}-9\right)^4",1,"(279841*(21914624432020321 - 2819195470116*(-4 + 4*x + x*Log[x])^4 + 136002726*(-4 + 4*x + x*Log[x])^8 - 2916*(-4 + 4*x + x*Log[x])^12))/(81*(-4 + 4*x + x*Log[x])^16)","B",1
1709,1,26,31,2.3314949,"\int \frac{\exp \left(\frac{x^4-2 x^5+3 x^6-2 x^7+x^8}{x^2-2 x \log (x)+\log ^2(x)}\right) \left(2 x^3-2 x^4+8 x^6-8 x^7+6 x^8+\left(-4 x^3+10 x^4-18 x^5+14 x^6-8 x^7\right) \log (x)\right)}{-x^3+3 x^2 \log (x)-3 x \log ^2(x)+\log ^3(x)} \, dx","Integrate[(E^((x^4 - 2*x^5 + 3*x^6 - 2*x^7 + x^8)/(x^2 - 2*x*Log[x] + Log[x]^2))*(2*x^3 - 2*x^4 + 8*x^6 - 8*x^7 + 6*x^8 + (-4*x^3 + 10*x^4 - 18*x^5 + 14*x^6 - 8*x^7)*Log[x]))/(-x^3 + 3*x^2*Log[x] - 3*x*Log[x]^2 + Log[x]^3),x]","-e^{\frac{x^4 \left(x^2-x+1\right)^2}{(\log (x)-x)^2}}","1-e^{\frac{x^4 \left(x \left(x+\frac{1}{x}\right)-x\right)^2}{(x-\log (x))^2}}",1,"-E^((x^4*(1 - x + x^2)^2)/(-x + Log[x])^2)","A",1
1710,1,20,20,0.0926054,"\int \frac{-2+4 x+(8-4 x) \log (-2+x)}{\left(10-25 x+10 x^2\right) \log (-2+x) \log \left(\frac{\log ^2(-2+x)}{1-4 x+4 x^2}\right)} \, dx","Integrate[(-2 + 4*x + (8 - 4*x)*Log[-2 + x])/((10 - 25*x + 10*x^2)*Log[-2 + x]*Log[Log[-2 + x]^2/(1 - 4*x + 4*x^2)]),x]","\frac{1}{5} \log \left(\log \left(\frac{\log ^2(x-2)}{(2 x-1)^2}\right)\right)","\frac{1}{5} \log \left(\log \left(\frac{\log ^2(x-2)}{(2 x-1)^2}\right)\right)",1,"Log[Log[Log[-2 + x]^2/(-1 + 2*x)^2]]/5","A",1
1711,1,18,21,0.1135241,"\int \frac{-e^{x^2}+2 e^{x^2} x^2 \log (x)+(-3 x+x \log (6)) \log ^2(x)}{(-3 x+x \log (6)) \log ^2(x)} \, dx","Integrate[(-E^x^2 + 2*E^x^2*x^2*Log[x] + (-3*x + x*Log[6])*Log[x]^2)/((-3*x + x*Log[6])*Log[x]^2),x]","\frac{e^{x^2}}{(\log (6)-3) \log (x)}+x","x-\frac{e^{x^2}}{(3-\log (6)) \log (x)}",1,"x + E^x^2/((-3 + Log[6])*Log[x])","A",1
1712,1,39,24,0.0350733,"\int \frac{54+84 x+25 x^2+2 x^3+\left(-15-26 x-4 x^2\right) \log (5)+(1+2 x) \log ^2(5)}{36+12 x+x^2+(-12-2 x) \log (5)+\log ^2(5)} \, dx","Integrate[(54 + 84*x + 25*x^2 + 2*x^3 + (-15 - 26*x - 4*x^2)*Log[5] + (1 + 2*x)*Log[5]^2)/(36 + 12*x + x^2 + (-12 - 2*x)*Log[5] + Log[5]^2),x]","(x+6-\log (5))^2+(2 \log (5)-11) (x+6-\log (5))+\frac{3 (\log (5)-6)}{x+6-\log (5)}","x^2+x+\frac{x}{\frac{1}{3} (x-\log (5))+2}+3+\log (4)",1,"(6 + x - Log[5])^2 + (3*(-6 + Log[5]))/(6 + x - Log[5]) + (6 + x - Log[5])*(-11 + 2*Log[5])","A",1
1713,1,47,29,0.1122177,"\int \frac{360+818 x-320 x^2-18 x^3+e^x \left(1800+980 x-560 x^2+70 x^3+10 x^4\right)+e^{2 x} \left(450 x+200 x^2-200 x^3+50 x^4\right)+\left(-1800+820 x-350 x^2+80 x^3+e^x \left(-900 x+50 x^2+150 x^3-50 x^4\right)\right) \log \left(\left(9-5 x+x^2\right) \log (5)\right)+\left(450 x-250 x^2+50 x^3\right) \log ^2\left(\left(9-5 x+x^2\right) \log (5)\right)}{9-5 x+x^2} \, dx","Integrate[(360 + 818*x - 320*x^2 - 18*x^3 + E^x*(1800 + 980*x - 560*x^2 + 70*x^3 + 10*x^4) + E^(2*x)*(450*x + 200*x^2 - 200*x^3 + 50*x^4) + (-1800 + 820*x - 350*x^2 + 80*x^3 + E^x*(-900*x + 50*x^2 + 150*x^3 - 50*x^4))*Log[(9 - 5*x + x^2)*Log[5]] + (450*x - 250*x^2 + 50*x^3)*Log[(9 - 5*x + x^2)*Log[5]]^2)/(9 - 5*x + x^2),x]","x \left(-5 \log \left(\left(x^2-5 x+9\right) \log (5)\right)+5 e^x+1\right) \left(-5 x \log \left(\left(x^2-5 x+9\right) \log (5)\right)+5 e^x x+x+40\right)","\left(x-5 \left(x \left(\log \left(\left((x-3)^2+x\right) \log (5)\right)-e^x\right)-4\right)\right)^2+2",1,"x*(1 + 5*E^x - 5*Log[(9 - 5*x + x^2)*Log[5]])*(40 + x + 5*E^x*x - 5*x*Log[(9 - 5*x + x^2)*Log[5]])","A",1
1714,1,20,20,0.2101294,"\int \frac{e^{\frac{21-4 x \log (5) \log \left(2+x^2\right)}{4 x}} \left(-42-21 x^2-8 x^3 \log (5)\right)}{8 x^2+4 x^4} \, dx","Integrate[(E^((21 - 4*x*Log[5]*Log[2 + x^2])/(4*x))*(-42 - 21*x^2 - 8*x^3*Log[5]))/(8*x^2 + 4*x^4),x]","e^{\frac{21}{4 x}-\log (5) \log \left(x^2+2\right)}","e^{\frac{21}{4 x}-\log (5) \log \left(x^2+2\right)}",1,"E^(21/(4*x) - Log[5]*Log[2 + x^2])","A",1
1715,1,28,28,0.1173183,"\int \frac{e^{\frac{36+12 \log \left(\frac{4}{x}\right)}{x \log \left(e^{-e^4 x} x\right)}} \left(-36+36 e^4 x+\left(-12+12 e^4 x\right) \log \left(\frac{4}{x}\right)+\left(-48-12 \log \left(\frac{4}{x}\right)\right) \log \left(e^{-e^4 x} x\right)\right)}{x^2 \log ^2\left(e^{-e^4 x} x\right)} \, dx","Integrate[(E^((36 + 12*Log[4/x])/(x*Log[x/E^(E^4*x)]))*(-36 + 36*E^4*x + (-12 + 12*E^4*x)*Log[4/x] + (-48 - 12*Log[4/x])*Log[x/E^(E^4*x)]))/(x^2*Log[x/E^(E^4*x)]^2),x]","e^{\frac{12 \left(\log \left(\frac{4}{x}\right)+3\right)}{x \log \left(e^{-e^4 x} x\right)}}","e^{\frac{12 \left(\log \left(\frac{4}{x}\right)+3\right)}{x \log \left(e^{-e^4 x} x\right)}}",1,"E^((12*(3 + Log[4/x]))/(x*Log[x/E^(E^4*x)]))","A",1
1716,1,29,24,0.2628748,"\int \frac{495-648 x+6905 x^2-6540 x^3+16420 x^4-11712 x^5+2304 x^6+\left(-45+26 x-244 x^2+96 x^3\right) \log (x)+\log ^2(x)}{625-750 x+6325 x^2-6060 x^3+16324 x^4-11712 x^5+2304 x^6+\left(-50+30 x-244 x^2+96 x^3\right) \log (x)+\log ^2(x)} \, dx","Integrate[(495 - 648*x + 6905*x^2 - 6540*x^3 + 16420*x^4 - 11712*x^5 + 2304*x^6 + (-45 + 26*x - 244*x^2 + 96*x^3)*Log[x] + Log[x]^2)/(625 - 750*x + 6325*x^2 - 6060*x^3 + 16324*x^4 - 11712*x^5 + 2304*x^6 + (-50 + 30*x - 244*x^2 + 96*x^3)*Log[x] + Log[x]^2),x]","x-\frac{x (2 x-5)}{48 x^3-122 x^2+15 x+\log (x)-25}","\frac{x}{-24 x^2+x+\frac{\log (x)}{5-2 x}-5}+x",1,"x - (x*(-5 + 2*x))/(-25 + 15*x - 122*x^2 + 48*x^3 + Log[x])","A",1
1717,1,29,22,0.0196436,"\int \left(-1+8 x+2^{2 \log ^2(x)} \left(3 x^2+4 x^2 \log (2) \log (x)\right)\right) \, dx","Integrate[-1 + 8*x + 2^(2*Log[x]^2)*(3*x^2 + 4*x^2*Log[2]*Log[x]),x]","\frac{x^3 \log (16) 2^{2 \log ^2(x)-1}}{\log (4)}+4 x^2-x","x^2 \left(x 2^{2 \log ^2(x)}+4\right)-x+\log (3)",1,"-x + 4*x^2 + (2^(-1 + 2*Log[x]^2)*x^3*Log[16])/Log[4]","A",1
1718,1,50,16,0.0647295,"\int \frac{155 x+240 x^2+120 x^3+20 x^4+\left(31 x+48 x^2+24 x^3+4 x^4\right) \log (x)+\left(16+31 x+24 x^2+8 x^3+x^4\right) \log \left(-16-31 x-24 x^2-8 x^3-x^4\right) \log \left(\log \left(-16-31 x-24 x^2-8 x^3-x^4\right)\right)}{\left(16 x+31 x^2+24 x^3+8 x^4+x^5\right) \log \left(-16-31 x-24 x^2-8 x^3-x^4\right)} \, dx","Integrate[(155*x + 240*x^2 + 120*x^3 + 20*x^4 + (31*x + 48*x^2 + 24*x^3 + 4*x^4)*Log[x] + (16 + 31*x + 24*x^2 + 8*x^3 + x^4)*Log[-16 - 31*x - 24*x^2 - 8*x^3 - x^4]*Log[Log[-16 - 31*x - 24*x^2 - 8*x^3 - x^4]])/((16*x + 31*x^2 + 24*x^3 + 8*x^4 + x^5)*Log[-16 - 31*x - 24*x^2 - 8*x^3 - x^4]),x]","\log (x) \log \left(\log \left(-x^4-8 x^3-24 x^2-31 x-16\right)\right)+5 \log \left(\log \left(-x^4-8 x^3-24 x^2-31 x-16\right)\right)","(\log (x)+5) \log \left(\log \left(x-(x+2)^4\right)\right)",1,"5*Log[Log[-16 - 31*x - 24*x^2 - 8*x^3 - x^4]] + Log[x]*Log[Log[-16 - 31*x - 24*x^2 - 8*x^3 - x^4]]","B",1
1719,1,8,12,0.0005582,"\int -\frac{4}{x \log (2)} \, dx","Integrate[-4/(x*Log[2]),x]","-\frac{4 \log (x)}{\log (2)}","\frac{4 (5-\log (x))}{\log (2)}",1,"(-4*Log[x])/Log[2]","A",1
1720,1,22,23,0.0169558,"\int \frac{1}{4} e^{-1-3 x} \left(-3 x^2+3 x^3+(4-12 x) \log (2)+(-4+12 x) \log (16)\right) \, dx","Integrate[(E^(-1 - 3*x)*(-3*x^2 + 3*x^3 + (4 - 12*x)*Log[2] + (-4 + 12*x)*Log[16]))/4,x]","\frac{1}{4} e^{-3 x-1} \left(-x^3-4 x \log (8)\right)","e^{-3 x-1} x \left(-\frac{x^2}{4}-\log (16)+\log (2)\right)",1,"(E^(-1 - 3*x)*(-x^3 - 4*x*Log[8]))/4","A",1
1721,1,49,33,0.3090634,"\int \frac{12 x-12 x^2-6 x^4+4 x^5+2 x^6+\left(-8 x+4 x^2+16 x^3-8 x^4-4 x^5\right) \log (x)+\left(-24 x-14 x^2+4 x^3+2 x^4\right) \log ^2(x)+\left(-12+20 x-4 x^2-4 x^3+\left(48 x+16 x^2\right) \log (x)\right) \log (3+x)+\left(-24 x-8 x^2\right) \log ^2(3+x)+\left(\left(12 x^3-8 x^4-4 x^5\right) \log (x)+\left(-12 x^2+8 x^3+4 x^4\right) \log ^2(x)+\left(-12 x^3+8 x^4+4 x^5+\left(12 x^2-8 x^3-4 x^4\right) \log (x)\right) \log (3+x)\right) \log \left(1-2 x+x^2\right)+\left(\left(-6 x^2+4 x^3+2 x^4\right) \log ^2(x)+\left(12 x^2-8 x^3-4 x^4\right) \log (x) \log (3+x)+\left(-6 x^2+4 x^3+2 x^4\right) \log ^2(3+x)\right) \log ^2\left(1-2 x+x^2\right)}{-3 x^3+2 x^4+x^5+\left(6 x^2-4 x^3-2 x^4\right) \log (x)+\left(-3 x+2 x^2+x^3\right) \log ^2(x)+\left(\left(6 x^2-4 x^3-2 x^4\right) \log (x)+\left(-6 x+4 x^2+2 x^3\right) \log ^2(x)+\left(-6 x^2+4 x^3+2 x^4+\left(6 x-4 x^2-2 x^3\right) \log (x)\right) \log (3+x)\right) \log \left(1-2 x+x^2\right)+\left(\left(-3 x+2 x^2+x^3\right) \log ^2(x)+\left(6 x-4 x^2-2 x^3\right) \log (x) \log (3+x)+\left(-3 x+2 x^2+x^3\right) \log ^2(3+x)\right) \log ^2\left(1-2 x+x^2\right)} \, dx","Integrate[(12*x - 12*x^2 - 6*x^4 + 4*x^5 + 2*x^6 + (-8*x + 4*x^2 + 16*x^3 - 8*x^4 - 4*x^5)*Log[x] + (-24*x - 14*x^2 + 4*x^3 + 2*x^4)*Log[x]^2 + (-12 + 20*x - 4*x^2 - 4*x^3 + (48*x + 16*x^2)*Log[x])*Log[3 + x] + (-24*x - 8*x^2)*Log[3 + x]^2 + ((12*x^3 - 8*x^4 - 4*x^5)*Log[x] + (-12*x^2 + 8*x^3 + 4*x^4)*Log[x]^2 + (-12*x^3 + 8*x^4 + 4*x^5 + (12*x^2 - 8*x^3 - 4*x^4)*Log[x])*Log[3 + x])*Log[1 - 2*x + x^2] + ((-6*x^2 + 4*x^3 + 2*x^4)*Log[x]^2 + (12*x^2 - 8*x^3 - 4*x^4)*Log[x]*Log[3 + x] + (-6*x^2 + 4*x^3 + 2*x^4)*Log[3 + x]^2)*Log[1 - 2*x + x^2]^2)/(-3*x^3 + 2*x^4 + x^5 + (6*x^2 - 4*x^3 - 2*x^4)*Log[x] + (-3*x + 2*x^2 + x^3)*Log[x]^2 + ((6*x^2 - 4*x^3 - 2*x^4)*Log[x] + (-6*x + 4*x^2 + 2*x^3)*Log[x]^2 + (-6*x^2 + 4*x^3 + 2*x^4 + (6*x - 4*x^2 - 2*x^3)*Log[x])*Log[3 + x])*Log[1 - 2*x + x^2] + ((-3*x + 2*x^2 + x^3)*Log[x]^2 + (6*x - 4*x^2 - 2*x^3)*Log[x]*Log[3 + x] + (-3*x + 2*x^2 + x^3)*Log[3 + x]^2)*Log[1 - 2*x + x^2]^2),x]","2 \left(\frac{x^2}{2}+\frac{2 \log (x+3)-2 \log (x)}{x-\left(\log \left((x-1)^2\right)+1\right) \log (x)+\log \left((x-1)^2\right) \log (x+3)}\right)","x^2+\frac{4}{\log \left((x-1)^2\right)+\frac{\log (x)-x}{\log (x)-\log (x+3)}}",1,"2*(x^2/2 + (-2*Log[x] + 2*Log[3 + x])/(x - (1 + Log[(-1 + x)^2])*Log[x] + Log[(-1 + x)^2]*Log[3 + x]))","A",1
1722,1,29,21,1.2945802,"\int \frac{1}{12} e^{\frac{1}{12} \left(-3 x+6 e^x x+2 e^x x \log \left(x^2\right)\right)} \left(-3+e^x (10+6 x)+e^x (2+2 x) \log \left(x^2\right)\right) \, dx","Integrate[(E^((-3*x + 6*E^x*x + 2*E^x*x*Log[x^2])/12)*(-3 + E^x*(10 + 6*x) + E^x*(2 + 2*x)*Log[x^2]))/12,x]","e^{\frac{e^x x}{2}-\frac{x}{4}} \left(x^2\right)^{\frac{e^x x}{6}}","e^{x \left(\frac{1}{6} e^x \left(\log \left(x^2\right)+3\right)-\frac{1}{4}\right)}",1,"E^(-1/4*x + (E^x*x)/2)*(x^2)^((E^x*x)/6)","A",1
1723,1,20,17,0.0103289,"\int \left(-2+4 e^{1+4 x}+2 x+\log \left(x^3\right)\right) \, dx","Integrate[-2 + 4*E^(1 + 4*x) + 2*x + Log[x^3],x]","x \log \left(x^3\right)+x^2-5 x+e^{4 x+1}","x \left(\log \left(x^3\right)+x-5\right)+e^{4 x+1}",1,"E^(1 + 4*x) - 5*x + x^2 + x*Log[x^3]","A",1
1724,1,76,23,0.042691,"\int \frac{9+6 x (i \pi +\log (25))+\left(-1+x^2\right) (i \pi +\log (25))^2}{36+24 x (i \pi +\log (25))+4 x^2 (i \pi +\log (25))^2} \, dx","Integrate[(9 + 6*x*(I*Pi + Log[25]) + (-1 + x^2)*(I*Pi + Log[25])^2)/(36 + 24*x*(I*Pi + Log[25]) + 4*x^2*(I*Pi + Log[25])^2),x]","-\frac{-\pi ^2 \left(x^2+1\right)+x^2 \log ^2(25)+2 i \pi  \left(x^2 \log (25)+3 x+\log (25)\right)+6 x \log (25)+9+\log ^2(25)}{4 (\pi -i \log (25)) (\pi  x-i (x \log (25)+3))}","\frac{1}{4} \left(x+\frac{1}{x+\frac{3}{\log (25)+i \pi }}-3\right)",1,"-1/4*(9 - Pi^2*(1 + x^2) + 6*x*Log[25] + Log[25]^2 + x^2*Log[25]^2 + (2*I)*Pi*(3*x + Log[25] + x^2*Log[25]))/((Pi - I*Log[25])*(Pi*x - I*(3 + x*Log[25])))","B",1
1725,1,60,27,0.0396419,"\int \frac{\frac{e^4 x \left(2 x+3 x^3\right)}{2+x^2}+\left(4 x+2 x^3\right) \log ^2(2)}{\frac{e^8 x^2 \left(8+4 x^2\right)}{\left(2+x^2\right)^2}+\frac{e^4 x \left(16+8 x^2\right) \log ^2(2)}{2+x^2}+\left(8+4 x^2\right) \log ^4(2)} \, dx","Integrate[((E^4*x*(2*x + 3*x^3))/(2 + x^2) + (4*x + 2*x^3)*Log[2]^2)/((E^8*x^2*(8 + 4*x^2))/(2 + x^2)^2 + (E^4*x*(16 + 8*x^2)*Log[2]^2)/(2 + x^2) + (8 + 4*x^2)*Log[2]^4),x]","\frac{\left(x^2+2\right) x^2 \log ^6(2)-e^8 \left(x^2+2\right) \log ^2(2)-e^{12} x}{4 \left(\left(x^2+2\right) \log ^8(2)+e^4 x \log ^6(2)\right)}","\frac{x^2}{4 \left(\frac{e^4}{x+\frac{2}{x}}+\log ^2(2)\right)}",1,"(-(E^12*x) - E^8*(2 + x^2)*Log[2]^2 + x^2*(2 + x^2)*Log[2]^6)/(4*(E^4*x*Log[2]^6 + (2 + x^2)*Log[2]^8))","B",1
1726,1,15,21,0.0099718,"\int -\frac{84 x}{\left(20 e^6+21 x^2\right) \log \left(20 e^6+21 x^2\right) \log ^3\left(\log \left(20 e^6+21 x^2\right)\right)} \, dx","Integrate[(-84*x)/((20*E^6 + 21*x^2)*Log[20*E^6 + 21*x^2]*Log[Log[20*E^6 + 21*x^2]]^3),x]","\frac{1}{\log ^2\left(\log \left(21 x^2+20 e^6\right)\right)}","\frac{1}{\log ^2\left(\log \left(x^2-20 \left(-x^2-e^6\right)\right)\right)}",1,"Log[Log[20*E^6 + 21*x^2]]^(-2)","A",1
1727,1,47,30,0.1758117,"\int \frac{e^2 (7-6 x)-7 x+12 x^2+e^x \left(-7+6 x+6 x^2\right)+\left(e^2 (1-x)-x+2 x^2+e^x \left(-1+x+x^2\right)\right) \log (x)+\left(-6 x-6 e^x x+\left(-x-e^x x\right) \log (x)\right) \log \left(\frac{1}{4} (6 x+x \log (x))\right)}{6 x+x \log (x)} \, dx","Integrate[(E^2*(7 - 6*x) - 7*x + 12*x^2 + E^x*(-7 + 6*x + 6*x^2) + (E^2*(1 - x) - x + 2*x^2 + E^x*(-1 + x + x^2))*Log[x] + (-6*x - 6*E^x*x + (-x - E^x*x)*Log[x])*Log[(6*x + x*Log[x])/4])/(6*x + x*Log[x]),x]","x^2+e^x x-e^2 x+e^2 \log (x)+e^2 \log (\log (x)+6)-\left(x+e^x\right) \log \left(\frac{1}{4} x (\log (x)+6)\right)","\left(x+e^x-e^2\right) \left(x-\log \left(x+\frac{1}{4} (2 x+x \log (x))\right)\right)",1,"-(E^2*x) + E^x*x + x^2 + E^2*Log[x] + E^2*Log[6 + Log[x]] - (E^x + x)*Log[(x*(6 + Log[x]))/4]","A",1
1728,1,27,30,0.1116338,"\int \frac{4 x^2+32 x^3+e^{\frac{2+5 x^2-4 x^3}{4 x}} \left(-2+5 x^2-8 x^3\right)}{4 x^2} \, dx","Integrate[(4*x^2 + 32*x^3 + E^((2 + 5*x^2 - 4*x^3)/(4*x))*(-2 + 5*x^2 - 8*x^3))/(4*x^2),x]","4 x^2+e^{-x^2+\frac{5 x}{4}+\frac{1}{2 x}}+x","4 x^2+e^{\frac{5 x^2+2}{4 x}-x^2}+x+2",1,"E^(1/(2*x) + (5*x)/4 - x^2) + x + 4*x^2","A",1
1729,1,173,33,0.3836659,"\int \left(2 x+\exp \left(-602 x-160 x^2 \log \left(e^{-x} x\right)-10 x^3 \log ^2\left(e^{-x} x\right)\right) \left(-602-160 x+160 x^2+\left(-320 x-20 x^2+20 x^3\right) \log \left(e^{-x} x\right)-30 x^2 \log ^2\left(e^{-x} x\right)\right)+\exp \left(-301 x-80 x^2 \log \left(e^{-x} x\right)-5 x^3 \log ^2\left(e^{-x} x\right)\right) \left(-2+602 x+160 x^2-160 x^3+\left(320 x^2+20 x^3-20 x^4\right) \log \left(e^{-x} x\right)+30 x^3 \log ^2\left(e^{-x} x\right)\right)\right) \, dx","Integrate[2*x + E^(-602*x - 160*x^2*Log[x/E^x] - 10*x^3*Log[x/E^x]^2)*(-602 - 160*x + 160*x^2 + (-320*x - 20*x^2 + 20*x^3)*Log[x/E^x] - 30*x^2*Log[x/E^x]^2) + E^(-301*x - 80*x^2*Log[x/E^x] - 5*x^3*Log[x/E^x]^2)*(-2 + 602*x + 160*x^2 - 160*x^3 + (320*x^2 + 20*x^3 - 20*x^4)*Log[x/E^x] + 30*x^3*Log[x/E^x]^2),x]","x^{20 x^4} \left(e^{-x} x\right)^{-20 x^2 \left(x^2+8\right)} \exp \left(-2 x \left(10 x^4+80 x^2+5 x^2 \log ^2\left(e^{-x} x\right)+301\right)\right) \left(e^{10 x^3 \left(x \left(x-\log (x)+\log \left(e^{-x} x\right)\right)+8\right)}-x^{10 x^3 \left(\log \left(e^{-x} x\right)-\log (x)\right)+80 x^2+1} \exp \left(x \left(5 x^4+5 x^2 \log ^2(x)+5 x^2 \left(x-\log (x)+\log \left(e^{-x} x\right)\right)^2+80 x \left(x-\log (x)+\log \left(e^{-x} x\right)\right)+301\right)\right)\right)^2","\left(e^{5 x \left(4-\left(x \log \left(e^{-x} x\right)+8\right)^2\right)-x}-x\right)^2",1,"(x^(20*x^4)*(E^(10*x^3*(8 + x*(x - Log[x] + Log[x/E^x]))) - E^(x*(301 + 5*x^4 + 5*x^2*Log[x]^2 + 80*x*(x - Log[x] + Log[x/E^x]) + 5*x^2*(x - Log[x] + Log[x/E^x])^2))*x^(1 + 80*x^2 + 10*x^3*(-Log[x] + Log[x/E^x])))^2)/(E^(2*x*(301 + 80*x^2 + 10*x^4 + 5*x^2*Log[x/E^x]^2))*(x/E^x)^(20*x^2*(8 + x^2)))","B",1
1730,1,31,30,0.6794881,"\int \frac{3 x+e^{-5+x} \left(-e^{1-x} x+x^3\right) \log (x)+\left(e^{-5+x} \left(-e x^2-x^3+e^{1-x} (e+x)\right)+e^{-5+x} \left(-2 x^3-x^4+e \left(-2 x^2-x^3\right)\right) \log (x)\right) \log (e+x)}{\left(e x+x^2\right) \log ^2(e+x)} \, dx","Integrate[(3*x + E^(-5 + x)*(-(E^(1 - x)*x) + x^3)*Log[x] + (E^(-5 + x)*(-(E*x^2) - x^3 + E^(1 - x)*(E + x)) + E^(-5 + x)*(-2*x^3 - x^4 + E*(-2*x^2 - x^3))*Log[x])*Log[E + x])/((E*x + x^2)*Log[E + x]^2),x]","-\frac{e^x x^2 \log (x)-e \log (x)+3 e^5}{e^5 \log (x+e)}","\frac{e^{x-5} \left(e^{1-x}-x^2\right) \log (x)-3}{\log (x+e)}",1,"-((3*E^5 - E*Log[x] + E^x*x^2*Log[x])/(E^5*Log[E + x]))","A",1
1731,1,47,30,0.3293186,"\int \frac{e^{\frac{5 (12+3 x)}{3+x}} \left(90 x+60 x^2+10 x^3\right)+e^{\frac{4 (12+3 x)}{3+x}} \left(-108 x^3-186 x^4-84 x^5-10 x^6\right)+e^{\frac{4 (12+3 x)}{3+x}} \left(-144 x^2-168 x^3-64 x^4-8 x^5\right) \log (x)+e^{\frac{4 (12+3 x)}{3+x}} \left(-36 x^2-102 x^3-52 x^4-6 x^5\right) \log ^2(x)}{288 x^{10}+912 x^{11}+1232 x^{12}+920 x^{13}+410 x^{14}+109 x^{15}+16 x^{16}+x^{17}+e^{\frac{5 (12+3 x)}{3+x}} \left(28125+18750 x+3125 x^2\right)+e^{\frac{4 (12+3 x)}{3+x}} \left(56250 x^2+65625 x^3+25000 x^4+3125 x^5\right)+e^{\frac{3 (12+3 x)}{3+x}} \left(45000 x^4+75000 x^5+46250 x^6+12500 x^7+1250 x^8\right)+e^{\frac{2 (12+3 x)}{3+x}} \left(18000 x^6+39000 x^7+33500 x^8+14250 x^9+3000 x^{10}+250 x^{11}\right)+e^{\frac{12+3 x}{3+x}} \left(3600 x^8+9600 x^9+10600 x^{10}+6200 x^{11}+2025 x^{12}+350 x^{13}+25 x^{14}\right)+\left(1440 x^9+4560 x^{10}+6160 x^{11}+4600 x^{12}+2050 x^{13}+545 x^{14}+80 x^{15}+5 x^{16}+e^{\frac{4 (12+3 x)}{3+x}} \left(56250 x+65625 x^2+25000 x^3+3125 x^4\right)+e^{\frac{3 (12+3 x)}{3+x}} \left(90000 x^3+150000 x^4+92500 x^5+25000 x^6+2500 x^7\right)+e^{\frac{2 (12+3 x)}{3+x}} \left(54000 x^5+117000 x^6+100500 x^7+42750 x^8+9000 x^9+750 x^{10}\right)+e^{\frac{12+3 x}{3+x}} \left(14400 x^7+38400 x^8+42400 x^9+24800 x^{10}+8100 x^{11}+1400 x^{12}+100 x^{13}\right)\right) \log ^2(x)+\left(2880 x^8+9120 x^9+12320 x^{10}+9200 x^{11}+4100 x^{12}+1090 x^{13}+160 x^{14}+10 x^{15}+e^{\frac{3 (12+3 x)}{3+x}} \left(45000 x^2+75000 x^3+46250 x^4+12500 x^5+1250 x^6\right)+e^{\frac{2 (12+3 x)}{3+x}} \left(54000 x^4+117000 x^5+100500 x^6+42750 x^7+9000 x^8+750 x^9\right)+e^{\frac{12+3 x}{3+x}} \left(21600 x^6+57600 x^7+63600 x^8+37200 x^9+12150 x^{10}+2100 x^{11}+150 x^{12}\right)\right) \log ^4(x)+\left(2880 x^7+9120 x^8+12320 x^9+9200 x^{10}+4100 x^{11}+1090 x^{12}+160 x^{13}+10 x^{14}+e^{\frac{2 (12+3 x)}{3+x}} \left(18000 x^3+39000 x^4+33500 x^5+14250 x^6+3000 x^7+250 x^8\right)+e^{\frac{12+3 x}{3+x}} \left(14400 x^5+38400 x^6+42400 x^7+24800 x^8+8100 x^9+1400 x^{10}+100 x^{11}\right)\right) \log ^6(x)+\left(1440 x^6+4560 x^7+6160 x^8+4600 x^9+2050 x^{10}+545 x^{11}+80 x^{12}+5 x^{13}+e^{\frac{12+3 x}{3+x}} \left(3600 x^4+9600 x^5+10600 x^6+6200 x^7+2025 x^8+350 x^9+25 x^{10}\right)\right) \log ^8(x)+\left(288 x^5+912 x^6+1232 x^7+920 x^8+410 x^9+109 x^{10}+16 x^{11}+x^{12}\right) \log ^{10}(x)} \, dx","Integrate[(E^((5*(12 + 3*x))/(3 + x))*(90*x + 60*x^2 + 10*x^3) + E^((4*(12 + 3*x))/(3 + x))*(-108*x^3 - 186*x^4 - 84*x^5 - 10*x^6) + E^((4*(12 + 3*x))/(3 + x))*(-144*x^2 - 168*x^3 - 64*x^4 - 8*x^5)*Log[x] + E^((4*(12 + 3*x))/(3 + x))*(-36*x^2 - 102*x^3 - 52*x^4 - 6*x^5)*Log[x]^2)/(288*x^10 + 912*x^11 + 1232*x^12 + 920*x^13 + 410*x^14 + 109*x^15 + 16*x^16 + x^17 + E^((5*(12 + 3*x))/(3 + x))*(28125 + 18750*x + 3125*x^2) + E^((4*(12 + 3*x))/(3 + x))*(56250*x^2 + 65625*x^3 + 25000*x^4 + 3125*x^5) + E^((3*(12 + 3*x))/(3 + x))*(45000*x^4 + 75000*x^5 + 46250*x^6 + 12500*x^7 + 1250*x^8) + E^((2*(12 + 3*x))/(3 + x))*(18000*x^6 + 39000*x^7 + 33500*x^8 + 14250*x^9 + 3000*x^10 + 250*x^11) + E^((12 + 3*x)/(3 + x))*(3600*x^8 + 9600*x^9 + 10600*x^10 + 6200*x^11 + 2025*x^12 + 350*x^13 + 25*x^14) + (1440*x^9 + 4560*x^10 + 6160*x^11 + 4600*x^12 + 2050*x^13 + 545*x^14 + 80*x^15 + 5*x^16 + E^((4*(12 + 3*x))/(3 + x))*(56250*x + 65625*x^2 + 25000*x^3 + 3125*x^4) + E^((3*(12 + 3*x))/(3 + x))*(90000*x^3 + 150000*x^4 + 92500*x^5 + 25000*x^6 + 2500*x^7) + E^((2*(12 + 3*x))/(3 + x))*(54000*x^5 + 117000*x^6 + 100500*x^7 + 42750*x^8 + 9000*x^9 + 750*x^10) + E^((12 + 3*x)/(3 + x))*(14400*x^7 + 38400*x^8 + 42400*x^9 + 24800*x^10 + 8100*x^11 + 1400*x^12 + 100*x^13))*Log[x]^2 + (2880*x^8 + 9120*x^9 + 12320*x^10 + 9200*x^11 + 4100*x^12 + 1090*x^13 + 160*x^14 + 10*x^15 + E^((3*(12 + 3*x))/(3 + x))*(45000*x^2 + 75000*x^3 + 46250*x^4 + 12500*x^5 + 1250*x^6) + E^((2*(12 + 3*x))/(3 + x))*(54000*x^4 + 117000*x^5 + 100500*x^6 + 42750*x^7 + 9000*x^8 + 750*x^9) + E^((12 + 3*x)/(3 + x))*(21600*x^6 + 57600*x^7 + 63600*x^8 + 37200*x^9 + 12150*x^10 + 2100*x^11 + 150*x^12))*Log[x]^4 + (2880*x^7 + 9120*x^8 + 12320*x^9 + 9200*x^10 + 4100*x^11 + 1090*x^12 + 160*x^13 + 10*x^14 + E^((2*(12 + 3*x))/(3 + x))*(18000*x^3 + 39000*x^4 + 33500*x^5 + 14250*x^6 + 3000*x^7 + 250*x^8) + E^((12 + 3*x)/(3 + x))*(14400*x^5 + 38400*x^6 + 42400*x^7 + 24800*x^8 + 8100*x^9 + 1400*x^10 + 100*x^11))*Log[x]^6 + (1440*x^6 + 4560*x^7 + 6160*x^8 + 4600*x^9 + 2050*x^10 + 545*x^11 + 80*x^12 + 5*x^13 + E^((12 + 3*x)/(3 + x))*(3600*x^4 + 9600*x^5 + 10600*x^6 + 6200*x^7 + 2025*x^8 + 350*x^9 + 25*x^10))*Log[x]^8 + (288*x^5 + 912*x^6 + 1232*x^7 + 920*x^8 + 410*x^9 + 109*x^10 + 16*x^11 + x^12)*Log[x]^10),x]","\frac{e^{12 \left(\frac{1}{x+3}+1\right)} x^2}{\left((x+2) x^2+5 e^{\frac{3}{x+3}+3}+(x+2) x \log ^2(x)\right)^4}","\frac{x^2}{\left(e^{-\frac{3}{x+3}-3} x (x+2) \left(x+\log ^2(x)\right)+5\right)^4}",1,"(E^(12*(1 + (3 + x)^(-1)))*x^2)/(5*E^(3 + 3/(3 + x)) + x^2*(2 + x) + x*(2 + x)*Log[x]^2)^4","A",1
1732,1,21,20,0.0074071,"\int \frac{-3-2 x+3 x^2+\log \left(\frac{3}{\log (5)}\right)}{-3 x-x^2+x^3+x \log \left(\frac{3}{\log (5)}\right)} \, dx","Integrate[(-3 - 2*x + 3*x^2 + Log[3/Log[5]])/(-3*x - x^2 + x^3 + x*Log[3/Log[5]]),x]","\log \left(-x^2+x+3-\log \left(\frac{3}{\log (5)}\right)\right)+\log (x)","\log \left(x \left(-((1-x) x)-3+\log \left(\frac{3}{\log (5)}\right)\right)\right)",1,"Log[x] + Log[3 + x - x^2 - Log[3/Log[5]]]","A",1
1733,1,50,26,0.0765969,"\int \frac{50 x^3+150 x^4-300 x^5+100 x^6+e^{2 x/5} (-50+10 x)+e^{x/5} \left(-25 x+5 x^2-30 x^3-10 x^4\right)}{x^3} \, dx","Integrate[(50*x^3 + 150*x^4 - 300*x^5 + 100*x^6 + E^((2*x)/5)*(-50 + 10*x) + E^(x/5)*(-25*x + 5*x^2 - 30*x^3 - 10*x^4))/x^3,x]","25 x^4-100 x^3+75 x^2+\frac{25 e^{2 x/5}}{x^2}+50 x-5 e^{x/5} \left(10 x-\frac{5}{x}-20\right)","25 \left(x^2-2 x-\frac{e^{x/5}}{x}-\frac{1}{2}\right)^2",1,"(25*E^((2*x)/5))/x^2 + 50*x + 75*x^2 - 100*x^3 + 25*x^4 - 5*E^(x/5)*(-20 - 5/x + 10*x)","A",1
1734,1,16,17,0.1636126,"\int \frac{36+9 e^{2+e^{2+x}+x}}{-24+e^{e^{2+x}}+4 x} \, dx","Integrate[(36 + 9*E^(2 + E^(2 + x) + x))/(-24 + E^E^(2 + x) + 4*x),x]","9 \log \left(4 (x-6)+e^{e^{x+2}}\right)","9 \log \left(x+\frac{e^{e^{x+2}}}{4}-6\right)",1,"9*Log[E^E^(2 + x) + 4*(-6 + x)]","A",1
1735,1,12,14,0.1016893,"\int \frac{6 e^x \log (5)+6 e^x x \log (5) \log (x)}{x+6 e^x x \log (5) \log (x)} \, dx","Integrate[(6*E^x*Log[5] + 6*E^x*x*Log[5]*Log[x])/(x + 6*E^x*x*Log[5]*Log[x]),x]","\log \left(6 e^x \log (5) \log (x)+1\right)","\log \left(-6 e^x \log (5) \log (x)-1\right)+4",1,"Log[1 + 6*E^x*Log[5]*Log[x]]","A",1
1736,1,60,26,0.3237868,"\int \frac{e^{-2 x} x^2 \left(14 x^4+x^5-2 x^6+\frac{e^{2 x} (2+x)^2 \left(3174 x^2+1955 x^3+194 x^4+5 x^5\right)}{x^2}+\frac{e^x (2+x) \left(460 x^3+116 x^4-40 x^5-2 x^6\right)}{x}\right)}{(2+x)^3} \, dx","Integrate[(x^2*(14*x^4 + x^5 - 2*x^6 + (E^(2*x)*(2 + x)^2*(3174*x^2 + 1955*x^3 + 194*x^4 + 5*x^5))/x^2 + (E^x*(2 + x)*(460*x^3 + 116*x^4 - 40*x^5 - 2*x^6))/x))/(E^(2*x)*(2 + x)^3),x]","\frac{e^{-2 x} \left(x^7+2 e^x \left(x^2+25 x+46\right) x^5+e^{2 x} (x+2)^3 \left(x^4+44 x^3+441 x^2-882 x+1764\right)\right)}{(x+2)^2}","x^3 \left(-\frac{e^{-x} x^2}{x+2}-x-23\right)^2",1,"(x^7 + 2*E^x*x^5*(46 + 25*x + x^2) + E^(2*x)*(2 + x)^3*(1764 - 882*x + 441*x^2 + 44*x^3 + x^4))/(E^(2*x)*(2 + x)^2)","B",1
1737,1,12,11,0.000069,"\int \frac{3}{-1+3 e^2} \, dx","Integrate[3/(-1 + 3*E^2),x]","\frac{3 x}{3 e^2-1}","\frac{x}{e^2-\frac{1}{3}}",1,"(3*x)/(-1 + 3*E^2)","A",1
1738,1,18,22,0.0261947,"\int \frac{e^{-2 x} \left(4-12 x+9 x^2-2 x^3+e^{2 x} \left(4-8 x+2 x^2\right)\right)}{4-4 x+x^2} \, dx","Integrate[(4 - 12*x + 9*x^2 - 2*x^3 + E^(2*x)*(4 - 8*x + 2*x^2))/(E^(2*x)*(4 - 4*x + x^2)),x]","e^{-2 x} x+2 x+\frac{4}{x-2}","-\frac{x^2}{2-x}+e^{-2 x} x+x-2",1,"4/(-2 + x) + 2*x + x/E^(2*x)","A",1
1739,1,19,22,0.0406118,"\int \frac{1-6 x+2 x^2+\left(-2+2 x^2\right) \log \left(-\frac{x}{-6+6 x}\right)}{-1+x} \, dx","Integrate[(1 - 6*x + 2*x^2 + (-2 + 2*x^2)*Log[-(x/(-6 + 6*x))])/(-1 + x),x]","x \left(x+(x+2) \log \left(\frac{x}{6-6 x}\right)-3\right)","(x+2) \left(x \left(\log \left(\frac{x}{6-6 x}\right)+1\right)-5\right)-1",1,"x*(-3 + x + (2 + x)*Log[x/(6 - 6*x)])","A",1
1740,1,26,22,0.1245904,"\int \frac{e^x (-128+128 x) \log ^2(5)}{\left(x^2+e^x x \log ^2(5)\right) \log ^3\left(\frac{x \log ^2(5)}{9 x+9 e^x \log ^2(5)}\right)} \, dx","Integrate[(E^x*(-128 + 128*x)*Log[5]^2)/((x^2 + E^x*x*Log[5]^2)*Log[(x*Log[5]^2)/(9*x + 9*E^x*Log[5]^2)]^3),x]","\frac{64}{\log ^2\left(\frac{x \log ^2(5)}{9 x+9 e^x \log ^2(5)}\right)}","\frac{64}{\log ^2\left(\frac{x}{9 \left(e^x+\frac{x}{\log ^2(5)}\right)}\right)}",1,"64/Log[(x*Log[5]^2)/(9*x + 9*E^x*Log[5]^2)]^2","A",1
1741,1,26,26,0.1175616,"\int \frac{-x^2+\log (x) \left(8+x^2-4 \log \left(\frac{x^2}{\log ^2(5)}\right)\right)-4 \log \left(\frac{x^2}{\log ^2(5)}\right)}{e^5 x^2 \log ^2(x)} \, dx","Integrate[(-x^2 + Log[x]*(8 + x^2 - 4*Log[x^2/Log[5]^2]) - 4*Log[x^2/Log[5]^2])/(E^5*x^2*Log[x]^2),x]","\frac{x^2+4 \log \left(x^2\right)-8 \log (\log (5))}{e^5 x \log (x)}","\frac{x^2+4 \log \left(\frac{x^2}{\log ^2(5)}\right)}{e^5 x \log (x)}",1,"(x^2 + 4*Log[x^2] - 8*Log[Log[5]])/(E^5*x*Log[x])","A",1
1742,1,20,16,0.0339558,"\int \frac{1}{6} e^{-1+\frac{1}{16} \left(-5 x+x^2\right)} (-5+2 x) \, dx","Integrate[(E^(-1 + (-5*x + x^2)/16)*(-5 + 2*x))/6,x]","\frac{8}{3} e^{\frac{x^2}{16}-\frac{5 x}{16}-1}","\frac{8}{3} e^{\frac{1}{16} (x-5) x-1}",1,"(8*E^(-1 - (5*x)/16 + x^2/16))/3","A",1
1743,1,18,25,0.054999,"\int e^{x+\log ^2(5)} (-28-10 x+(6+6 x) \log (4)) \, dx","Integrate[E^(x + Log[5]^2)*(-28 - 10*x + (6 + 6*x)*Log[4]),x]","2 e^{x+\log ^2(5)} (x (\log (64)-5)-9)","2 x e^{x+\log ^2(5)} \left(3 \left(\log (4)-\frac{3}{x}\right)-5\right)+1",1,"2*E^(x + Log[5]^2)*(-9 + x*(-5 + Log[64]))","A",1
1744,1,21,21,0.0545807,"\int \frac{1}{7} e^{\frac{1}{4} \left(-25+4 x+20 x^2-4 x^4\right)} \left(1+10 x-4 x^3\right) \, dx","Integrate[(E^((-25 + 4*x + 20*x^2 - 4*x^4)/4)*(1 + 10*x - 4*x^3))/7,x]","\frac{1}{7} e^{-x^4+5 x^2+x-\frac{25}{4}}","\frac{1}{7} e^{x-\left(\frac{5}{2}-x^2\right)^2}",1,"E^(-25/4 + x + 5*x^2 - x^4)/7","A",1
1745,1,26,17,0.0133069,"\int \frac{-3+2 x \log \left(4 \log ^2(5)\right)}{2 x \log \left(4 \log ^2(5)\right)} \, dx","Integrate[(-3 + 2*x*Log[4*Log[5]^2])/(2*x*Log[4*Log[5]^2]),x]","x-\frac{3 \log (4 x \log (\log (5))+x \log (16))}{\log (16)+4 \log (\log (5))}","x-\frac{3 \log (x)}{2 \log \left(4 \log ^2(5)\right)}",1,"x - (3*Log[x*Log[16] + 4*x*Log[Log[5]]])/(Log[16] + 4*Log[Log[5]])","A",1
1746,1,23,21,0.0019507,"\int \frac{1}{25} \left(175-80 x-24 x^2+50 \log (x)\right) \, dx","Integrate[(175 - 80*x - 24*x^2 + 50*Log[x])/25,x]","-\frac{8 x^3}{25}-\frac{8 x^2}{5}+5 x+2 x \log (x)","x \left(2 \left(-\frac{1}{25} (-2 x-5)^2+\log (x)+4\right)-1\right)",1,"5*x - (8*x^2)/5 - (8*x^3)/25 + 2*x*Log[x]","A",1
1747,1,17,17,0.0023424,"\int \frac{2 e^2+e^{16} \left(-x^2+e^5 x^2\right)}{e^{16} x^2} \, dx","Integrate[(2*E^2 + E^16*(-x^2 + E^5*x^2))/(E^16*x^2),x]","e^5 x-x-\frac{2}{e^{14} x}","e^5 x-x-\frac{2}{e^{14} x}",1,"-2/(E^14*x) - x + E^5*x","A",1
1748,1,2,2,0.0001354,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log (x)",1,"Log[x]","A",1
1749,1,15,15,0.0053255,"\int \frac{-16-5 x \log (x) \log ^2(\log (x))}{32 x \log (x) \log ^2(\log (x))} \, dx","Integrate[(-16 - 5*x*Log[x]*Log[Log[x]]^2)/(32*x*Log[x]*Log[Log[x]]^2),x]","\frac{1}{2 \log (\log (x))}-\frac{5 x}{32}","\frac{1}{32} \left(\frac{16}{\log (\log (x))}-5 x\right)",1,"(-5*x)/32 + 1/(2*Log[Log[x]])","A",1
1750,1,34,24,0.0447394,"\int \frac{-2880 x^2+1008 x^3-252 x^4+261 x^5-90 x^6+9 x^7+\left(-320+240 x-64 x^2+48 x^3\right) \log (5)}{-2880 x^2+2160 x^3-1116 x^4+477 x^5-108 x^6+9 x^7} \, dx","Integrate[(-2880*x^2 + 1008*x^3 - 252*x^4 + 261*x^5 - 90*x^6 + 9*x^7 + (-320 + 240*x - 64*x^2 + 48*x^3)*Log[5])/(-2880*x^2 + 2160*x^3 - 1116*x^4 + 477*x^5 - 108*x^6 + 9*x^7),x]","\frac{1}{9} \left(9 \log \left(x^2+5\right)+9 x+\frac{(x-8) \log (5)}{(x-4)^2}-\frac{\log (5)}{x}\right)","\log \left(x^2+5\right)+x-\frac{16 \log (5)}{9 (4-x)^2 x}",1,"(9*x + ((-8 + x)*Log[5])/(-4 + x)^2 - Log[5]/x + 9*Log[5 + x^2])/9","A",1
1751,1,41,30,0.4153317,"\int \frac{-x^9-2 x^{10}+e^{\frac{2 \left(625-x^9\right)}{x^8}} \left(10000+4 e^4 x^8+2 x^9\right)+e^{\frac{625-x^9}{x^8}} \left(-10000 x+2 x^9-8 e^4 x^9-2 x^{10}\right)+e^4 \left(4 x^9+4 x^{10}\right)+\left(e^{\frac{2 \left(625-x^9\right)}{x^8}} x^8+x^9-2 e^{\frac{625-x^9}{x^8}} x^9+x^{10}\right) \log \left(e^{\frac{2 \left(625-x^9\right)}{x^8}}+x-2 e^{\frac{625-x^9}{x^8}} x+x^2\right)}{16 e^{8+\frac{2 \left(625-x^9\right)}{x^8}} x^8-32 e^{8+\frac{625-x^9}{x^8}} x^9+e^8 \left(16 x^9+16 x^{10}\right)+\left(8 e^{4+\frac{2 \left(625-x^9\right)}{x^8}} x^8-16 e^{4+\frac{625-x^9}{x^8}} x^9+e^4 \left(8 x^9+8 x^{10}\right)\right) \log \left(e^{\frac{2 \left(625-x^9\right)}{x^8}}+x-2 e^{\frac{625-x^9}{x^8}} x+x^2\right)+\left(e^{\frac{2 \left(625-x^9\right)}{x^8}} x^8+x^9-2 e^{\frac{625-x^9}{x^8}} x^9+x^{10}\right) \log ^2\left(e^{\frac{2 \left(625-x^9\right)}{x^8}}+x-2 e^{\frac{625-x^9}{x^8}} x+x^2\right)} \, dx","Integrate[(-x^9 - 2*x^10 + E^((2*(625 - x^9))/x^8)*(10000 + 4*E^4*x^8 + 2*x^9) + E^((625 - x^9)/x^8)*(-10000*x + 2*x^9 - 8*E^4*x^9 - 2*x^10) + E^4*(4*x^9 + 4*x^10) + (E^((2*(625 - x^9))/x^8)*x^8 + x^9 - 2*E^((625 - x^9)/x^8)*x^9 + x^10)*Log[E^((2*(625 - x^9))/x^8) + x - 2*E^((625 - x^9)/x^8)*x + x^2])/(16*E^(8 + (2*(625 - x^9))/x^8)*x^8 - 32*E^(8 + (625 - x^9)/x^8)*x^9 + E^8*(16*x^9 + 16*x^10) + (8*E^(4 + (2*(625 - x^9))/x^8)*x^8 - 16*E^(4 + (625 - x^9)/x^8)*x^9 + E^4*(8*x^9 + 8*x^10))*Log[E^((2*(625 - x^9))/x^8) + x - 2*E^((625 - x^9)/x^8)*x + x^2] + (E^((2*(625 - x^9))/x^8)*x^8 + x^9 - 2*E^((625 - x^9)/x^8)*x^9 + x^10)*Log[E^((2*(625 - x^9))/x^8) + x - 2*E^((625 - x^9)/x^8)*x + x^2]^2),x]","\frac{x}{\log \left(-2 e^{\frac{625}{x^8}-x} x+e^{\frac{1250}{x^8}-2 x}+x^2+x\right)+4 e^4}","\frac{x}{\log \left(\left(e^{\frac{625}{x^8}-x}-x\right)^2+x\right)+4 e^4}",1,"x/(4*E^4 + Log[E^(1250/x^8 - 2*x) + x - 2*E^(625/x^8 - x)*x + x^2])","A",1
1752,1,29,24,0.1781576,"\int \frac{-4+18 x^2+x^2 \log \left(x^2\right)}{4 x+16 x^2+16 x^3+8 x^2 \log (4)+x^3 \log \left(x^2\right)} \, dx","Integrate[(-4 + 18*x^2 + x^2*Log[x^2])/(4*x + 16*x^2 + 16*x^3 + 8*x^2*Log[4] + x^3*Log[x^2]),x]","\log \left(16 x^2+x^2 \log \left(x^2\right)+16 x+8 x \log (4)+4\right)-\log (x)","\log \left(\frac{1}{8} x \log \left(x^2\right)+2 x+\frac{1}{2 x}+2+\log (4)\right)",1,"-Log[x] + Log[4 + 16*x + 16*x^2 + 8*x*Log[4] + x^2*Log[x^2]]","A",1
1753,1,23,29,0.0117275,"\int \frac{2 x^2+e^4 \left(5+5 x-x^2\right)}{-2 x^2+e^4 \left(-5 x+x^2\right)} \, dx","Integrate[(2*x^2 + E^4*(5 + 5*x - x^2))/(-2*x^2 + E^4*(-5*x + x^2)),x]","-x-\log (x)+\log \left(e^4 x-2 x-5 e^4\right)","\log \left(3 e^{-x} \left(\frac{1}{e^4}-\frac{x-5}{2 x}\right)\right)-\log ^2(4)",1,"-x - Log[x] + Log[-5*E^4 - 2*x + E^4*x]","A",1
1754,1,21,21,0.0222557,"\int \frac{2 e^{-11+x-x^2}+e^{-11+x-x^2} \left(2 x-3 x^2-2 x^3\right) \log \left(\frac{x}{4+2 x}\right)}{e^2 \left(2 x+x^2\right)} \, dx","Integrate[(2*E^(-11 + x - x^2) + E^(-11 + x - x^2)*(2*x - 3*x^2 - 2*x^3)*Log[x/(4 + 2*x)])/(E^2*(2*x + x^2)),x]","e^{-x^2+x-13} \log \left(\frac{x}{2 x+4}\right)","e^{-x^2+x-13} \log \left(\frac{x}{2 x+4}\right)",1,"E^(-13 + x - x^2)*Log[x/(4 + 2*x)]","A",1
1755,1,19,20,0.0088114,"\int \frac{-2+e^x (-1+x)+3 x^2+2 x^3}{x^2} \, dx","Integrate[(-2 + E^x*(-1 + x) + 3*x^2 + 2*x^3)/x^2,x]","x^2+3 x+\frac{e^x}{x}+\frac{2}{x}","-\frac{-e^x-2}{x}+x+x (x+2)+9",1,"2/x + E^x/x + 3*x + x^2","A",1
1756,1,13,24,0.0006521,"\int \frac{1}{5} (2+2 x) \, dx","Integrate[(2 + 2*x)/5,x]","\frac{2}{5} \left(\frac{x^2}{2}+x\right)","x+\frac{1}{5} \left(-((5-x) x)+2 x-e^5+5\right)",1,"(2*(x + x^2/2))/5","A",1
1757,1,32,26,0.0063178,"\int \frac{-2 e^4+4 x^2-8000 x^3+4800 x^5-960 x^7+64 x^9}{x^2} \, dx","Integrate[(-2*E^4 + 4*x^2 - 8000*x^3 + 4800*x^5 - 960*x^7 + 64*x^9)/x^2,x]","8 x^8-160 x^6+1200 x^4-4000 x^2+4 x+\frac{2 e^4}{x}","4 \left(2 \left(5-x^2\right)^4+x+\frac{e^4}{2 x}+7\right)",1,"(2*E^4)/x + 4*x - 4000*x^2 + 1200*x^4 - 160*x^6 + 8*x^8","A",1
1758,1,68,22,0.0505337,"\int \frac{1}{3} e^{\frac{6-x}{3}} \left(-3 e^{-7+\frac{1}{3} (-6+x)+x}+e^{e^x} \left(-5+15 e^x\right)\right) \, dx","Integrate[(E^((6 - x)/3)*(-3*E^(-7 + (-6 + x)/3 + x) + E^E^x*(-5 + 15*E^x)))/3,x]","-e^{x-7}+\frac{5}{3} e^{2-\frac{x}{3}} \sqrt[3]{-e^x} \Gamma \left(-\frac{1}{3},-e^x\right)+5 e^{2-\frac{x}{3}} \sqrt[3]{-e^x} \Gamma \left(\frac{2}{3},-e^x\right)","5 e^{-\frac{x}{3}+e^x+2}-e^{x-7}",1,"-E^(-7 + x) + (5*E^(2 - x/3)*(-E^x)^(1/3)*Gamma[-1/3, -E^x])/3 + 5*E^(2 - x/3)*(-E^x)^(1/3)*Gamma[2/3, -E^x]","C",1
1759,1,10,10,0.0013394,"\int -\frac{32 e^{-3+e}}{x^2} \, dx","Integrate[(-32*E^(-3 + E))/x^2,x]","\frac{32 e^{e-3}}{x}","\frac{32 e^{e-3}}{x}",1,"(32*E^(-3 + E))/x","A",1
1760,1,14,18,0.0693074,"\int \frac{-36+24 x-4 x^2+\left(36-48 x+12 x^2\right) \log (x)}{5 \log ^2(x)} \, dx","Integrate[(-36 + 24*x - 4*x^2 + (36 - 48*x + 12*x^2)*Log[x])/(5*Log[x]^2),x]","\frac{4 (x-3)^2 x}{5 \log (x)}","\frac{(6-2 x)^2 x}{5 \log (x)}-3",1,"(4*(-3 + x)^2*x)/(5*Log[x])","A",1
1761,0,0,19,0.5936647,"\int \frac{4+x-16 x^5-8 x^6-x^7+\left(1-8 x^5-2 x^6\right) \log (3)-x^5 \log ^2(3)+(-16-5 x-4 \log (3)) \log (x)}{-16 x^6-8 x^7-x^8+\left(-8 x^6-2 x^7\right) \log (3)-x^6 \log ^2(3)+\left(4 x+x^2+x \log (3)\right) \log (x)} \, dx","Integrate[(4 + x - 16*x^5 - 8*x^6 - x^7 + (1 - 8*x^5 - 2*x^6)*Log[3] - x^5*Log[3]^2 + (-16 - 5*x - 4*Log[3])*Log[x])/(-16*x^6 - 8*x^7 - x^8 + (-8*x^6 - 2*x^7)*Log[3] - x^6*Log[3]^2 + (4*x + x^2 + x*Log[3])*Log[x]),x]","\int \frac{4+x-16 x^5-8 x^6-x^7+\left(1-8 x^5-2 x^6\right) \log (3)-x^5 \log ^2(3)+(-16-5 x-4 \log (3)) \log (x)}{-16 x^6-8 x^7-x^8+\left(-8 x^6-2 x^7\right) \log (3)-x^6 \log ^2(3)+\left(4 x+x^2+x \log (3)\right) \log (x)} \, dx","\log \left(x-\frac{\log (x)}{x^4 (x+4+\log (3))}\right)+2",1,"Integrate[(4 + x - 16*x^5 - 8*x^6 - x^7 + (1 - 8*x^5 - 2*x^6)*Log[3] - x^5*Log[3]^2 + (-16 - 5*x - 4*Log[3])*Log[x])/(-16*x^6 - 8*x^7 - x^8 + (-8*x^6 - 2*x^7)*Log[3] - x^6*Log[3]^2 + (4*x + x^2 + x*Log[3])*Log[x]), x]","F",-1
1762,1,24,25,0.1526715,"\int \frac{(-3+\log (4)) \log (25)+e^{e^x-x} \left((-1-x) \log (25)+e^x x \log (25)\right)}{5 x^2} \, dx","Integrate[((-3 + Log[4])*Log[25] + E^(E^x - x)*((-1 - x)*Log[25] + E^x*x*Log[25]))/(5*x^2),x]","\frac{\log (25) \left(e^{e^x-x}+3-\log (4)\right)}{5 x}","\frac{\log (25) \left(x+e^{e^x-x}+3-\log (4)\right)}{5 x}",1,"((3 + E^(E^x - x) - Log[4])*Log[25])/(5*x)","A",1
1763,1,57,26,0.1749929,"\int \frac{\left(-2 x^2-8 e^x x^2\right) \log ^2(x)+\left(\left(-2 x^2+8 e^x x^3\right) \log (x)+\left(-2 x^2+8 e^x x^3\right) \log ^2(x)\right) \log \left(e^{-x} \left(-2+8 e^x x\right)\right)+\left(\left(2 x+8 e^x x\right) \log ^2(x)+\left(\left(4 x-16 e^x x^2\right) \log (x)+\left(2 x-8 e^x x^2\right) \log ^2(x)\right) \log \left(e^{-x} \left(-2+8 e^x x\right)\right)\right) \log \left(\log \left(e^{-x} \left(-2+8 e^x x\right)\right)\right)+\left(-2+8 e^x x\right) \log (x) \log \left(e^{-x} \left(-2+8 e^x x\right)\right) \log ^2\left(\log \left(e^{-x} \left(-2+8 e^x x\right)\right)\right)}{\left(-x+4 e^x x^2\right) \log \left(e^{-x} \left(-2+8 e^x x\right)\right)} \, dx","Integrate[((-2*x^2 - 8*E^x*x^2)*Log[x]^2 + ((-2*x^2 + 8*E^x*x^3)*Log[x] + (-2*x^2 + 8*E^x*x^3)*Log[x]^2)*Log[(-2 + 8*E^x*x)/E^x] + ((2*x + 8*E^x*x)*Log[x]^2 + ((4*x - 16*E^x*x^2)*Log[x] + (2*x - 8*E^x*x^2)*Log[x]^2)*Log[(-2 + 8*E^x*x)/E^x])*Log[Log[(-2 + 8*E^x*x)/E^x]] + (-2 + 8*E^x*x)*Log[x]*Log[(-2 + 8*E^x*x)/E^x]*Log[Log[(-2 + 8*E^x*x)/E^x]]^2)/((-x + 4*E^x*x^2)*Log[(-2 + 8*E^x*x)/E^x]),x]","2 \left(\frac{1}{2} x^2 \log ^2(x)+\frac{1}{2} \log ^2\left(\log \left(8 x-2 e^{-x}\right)\right) \log ^2(x)-x \log \left(\log \left(8 x-2 e^{-x}\right)\right) \log ^2(x)\right)","\log ^2(x) \left(x-\log \left(\log \left(2 \left(4 x-e^{-x}\right)\right)\right)\right)^2",1,"2*((x^2*Log[x]^2)/2 - x*Log[x]^2*Log[Log[-2/E^x + 8*x]] + (Log[x]^2*Log[Log[-2/E^x + 8*x]]^2)/2)","B",1
1764,1,24,24,0.2740906,"\int \frac{4096-5632 x-1024 x^2+256 x^3-512 x^4+256 x^5+e^{2 x^2} \left(-4+x^3\right)+e^{x^2} \left(-192-128 x-320 x^2-32 x^3+32 x^4\right)}{256 x^3+e^{2 x^2} x^3-512 x^4+256 x^5+e^{x^2} \left(-32 x^3+32 x^4\right)} \, dx","Integrate[(4096 - 5632*x - 1024*x^2 + 256*x^3 - 512*x^4 + 256*x^5 + E^(2*x^2)*(-4 + x^3) + E^x^2*(-192 - 128*x - 320*x^2 - 32*x^3 + 32*x^4))/(256*x^3 + E^(2*x^2)*x^3 - 512*x^4 + 256*x^5 + E^x^2*(-32*x^3 + 32*x^4)),x]","\frac{160}{\left(e^{x^2}+16 x-16\right) x^2}+\frac{2}{x^2}+x","\frac{\frac{10}{\frac{e^{x^2}}{16}+x-1}+2}{x^2}+x",1,"2/x^2 + x + 160/(x^2*(-16 + E^x^2 + 16*x))","A",1
1765,1,29,25,1.2741405,"\int \frac{e^{1-x+x^2} (1536-1024 x)+e^x \left(-512+448 x+32 x^2\right)}{256 e^{2-4 x+2 x^2}+256 x^2+32 x^3+x^4+e^{1-2 x+x^2} \left(512 x+32 x^2\right)} \, dx","Integrate[(E^(1 - x + x^2)*(1536 - 1024*x) + E^x*(-512 + 448*x + 32*x^2))/(256*E^(2 - 4*x + 2*x^2) + 256*x^2 + 32*x^3 + x^4 + E^(1 - 2*x + x^2)*(512*x + 32*x^2)),x]","\frac{32 e^{3 x}}{16 e^{x^2+1}+e^{2 x} x (x+16)}","\frac{2 e^x}{\frac{x^2}{16}+x+e^{(1-x)^2}}",1,"(32*E^(3*x))/(16*E^(1 + x^2) + E^(2*x)*x*(16 + x))","A",1
1766,1,25,25,0.1268089,"\int \frac{7 e^5+e^{e^3} (-1+x)+e^{e^3} (3-x) \log (-3+x)}{(-21+7 x) \log ^2(-3+x)} \, dx","Integrate[(7*E^5 + E^E^3*(-1 + x) + E^E^3*(3 - x)*Log[-3 + x])/((-21 + 7*x)*Log[-3 + x]^2),x]","-\frac{e^{e^3} (x-1)+7 e^5}{7 \log (x-3)}","\frac{-\frac{1}{7} e^{e^3} (x-1)-e^5}{\log (x-3)}",1,"-1/7*(7*E^5 + E^E^3*(-1 + x))/Log[-3 + x]","A",1
1767,1,10,18,0.0044246,"\int \frac{e^{x^2} \left(1-2 x^2\right)}{x^2} \, dx","Integrate[(E^x^2*(1 - 2*x^2))/x^2,x]","-\frac{e^{x^2}}{x}","-\frac{e^{x^2}}{x}+\frac{37}{3}-\log (3)",1,"-(E^x^2/x)","A",1
1768,1,34,28,0.11668,"\int \frac{(-128+320 x) \log ^2(9)+e^{x^2} \left(-20 x \log (9)+\left(64 x^3-160 x^4\right) \log ^2(9)\right)+e^{x^2} \left(-8+20 x+16 x^2-40 x^3\right) \log (9) \log (2-5 x)}{(-512+1280 x) \log ^2(9)+e^{x^2} \left(-256 x+640 x^2\right) \log ^2(9)+e^{2 x^2} \left(-32 x^2+80 x^3\right) \log ^2(9)+\left(e^{x^2} (-64+160 x) \log (9)+e^{2 x^2} \left(-16 x+40 x^2\right) \log (9)\right) \log (2-5 x)+e^{2 x^2} (-2+5 x) \log ^2(2-5 x)} \, dx","Integrate[((-128 + 320*x)*Log[9]^2 + E^x^2*(-20*x*Log[9] + (64*x^3 - 160*x^4)*Log[9]^2) + E^x^2*(-8 + 20*x + 16*x^2 - 40*x^3)*Log[9]*Log[2 - 5*x])/((-512 + 1280*x)*Log[9]^2 + E^x^2*(-256*x + 640*x^2)*Log[9]^2 + E^(2*x^2)*(-32*x^2 + 80*x^3)*Log[9]^2 + (E^x^2*(-64 + 160*x)*Log[9] + E^(2*x^2)*(-16*x + 40*x^2)*Log[9])*Log[2 - 5*x] + E^(2*x^2)*(-2 + 5*x)*Log[2 - 5*x]^2),x]","\frac{4 x \log (9)}{4 e^{x^2} x \log (9)+e^{x^2} \log (2-5 x)+16 \log (9)}","\frac{x}{e^{x^2} \left(x+\frac{\log (2-5 x)}{4 \log (9)}\right)+4}",1,"(4*x*Log[9])/(16*Log[9] + 4*E^x^2*x*Log[9] + E^x^2*Log[2 - 5*x])","A",1
1769,1,31,30,0.3311904,"\int \frac{-16-56 x+55 x^2+146 x^3-28 x^4+x^5+e^3 \left(8 x^2+9 x^3\right)+\left(8 x^2+9 x^3\right) \log (x)}{112 x+488 x^2+439 x^3-199 x^4+25 x^5-x^6+e^3 \left(16 x+72 x^2+73 x^3-18 x^4+x^5\right)+\left(16 x+72 x^2+73 x^3-18 x^4+x^5\right) \log (x)} \, dx","Integrate[(-16 - 56*x + 55*x^2 + 146*x^3 - 28*x^4 + x^5 + E^3*(8*x^2 + 9*x^3) + (8*x^2 + 9*x^3)*Log[x])/(112*x + 488*x^2 + 439*x^3 - 199*x^4 + 25*x^5 - x^6 + E^3*(16*x + 72*x^2 + 73*x^3 - 18*x^4 + x^5) + (16*x + 72*x^2 + 73*x^3 - 18*x^4 + x^5)*Log[x]),x]","-\frac{9 x+4}{x^2-9 x-4}-\log \left(-x+\log (x)+e^3+7\right)","\frac{x}{-x+\frac{4}{x}+9}-\log \left(x-\log (x)-e^3-7\right)",1,"-((4 + 9*x)/(-4 - 9*x + x^2)) - Log[7 + E^3 - x + Log[x]]","A",1
1770,1,33,26,0.0778118,"\int \frac{-2 e^{2 e^x}+8 x^2+2 x^3+e^{e^x} \left(-25-16 x-3 x^2+e^x \left(25 x+10 x^2+x^3\right)\right)}{2 e^{2 e^x} x-25 x^2-8 x^3-x^4+e^{e^x} \left(25 x+6 x^2+x^3\right)} \, dx","Integrate[(-2*E^(2*E^x) + 8*x^2 + 2*x^3 + E^E^x*(-25 - 16*x - 3*x^2 + E^x*(25*x + 10*x^2 + x^3)))/(2*E^(2*E^x)*x - 25*x^2 - 8*x^3 - x^4 + E^E^x*(25*x + 6*x^2 + x^3)),x]","-\log \left(x^2+8 x+2 e^{e^x}+25\right)+\log \left(e^{e^x}-x\right)-\log (x)","6-\log \left(x \left(\frac{(x+5)^2}{x-e^{e^x}}-2\right)\right)",1,"Log[E^E^x - x] - Log[x] - Log[25 + 2*E^E^x + 8*x + x^2]","A",1
1771,1,17,26,1.1883784,"\int \frac{-32 x \log (x)+(1+32 x) \log \left(\frac{1}{9} e^5 (5+160 x)\right)}{\left(x+32 x^2\right) \log ^2\left(\frac{1}{9} e^5 (5+160 x)\right)} \, dx","Integrate[(-32*x*Log[x] + (1 + 32*x)*Log[(E^5*(5 + 160*x))/9])/((x + 32*x^2)*Log[(E^5*(5 + 160*x))/9]^2),x]","\frac{\log (x)}{\log \left(\frac{5}{9} (32 x+1)\right)+5}","\frac{\log (x)}{\log \left(\frac{5 e^5 \left(\log \left(e^{32 x^2}\right)+x\right)}{9 x}\right)}",1,"Log[x]/(5 + Log[(5*(1 + 32*x))/9])","A",1
1772,1,160,33,2.984532,"\int \frac{-107584-314880 x-314496 x^2-138240 x^3-25920 x^4+e^{5 e^x} \left(16+24 x^2+5 x^4\right)+\left(-275520-770560 x-844416 x^2-414720 x^3-95040 x^4\right) \log (5)+\left(-386320-935040 x-1083552 x^2-564480 x^3-162000 x^4\right) \log ^2(5)+\left(-373760-739840 x-901632 x^2-455680 x^3-168960 x^4\right) \log ^3(5)+\left(-263040-404800 x-551040 x^2-238720 x^3-119360 x^4\right) \log ^4(5)+\left(-138624-151040 x-259296 x^2-83200 x^3-59680 x^4\right) \log ^5(5)+\left(-54560-36480 x-93288 x^2-18880 x^3-21400 x^4\right) \log ^6(5)+\left(-15360-5120 x-24576 x^2-2560 x^3-5440 x^4\right) \log ^7(5)+\left(-2880-320 x-4416 x^2-160 x^3-940 x^4\right) \log ^8(5)+\left(-320-480 x^2-100 x^4\right) \log ^9(5)+\left(-16-24 x^2-5 x^4\right) \log ^{10}(5)+e^{4 e^x} \left(-320-320 x-576 x^2-160 x^3-140 x^4+e^x \left(160 x^2+32 x^3+40 x^4+8 x^5\right)+\left(-320-480 x^2-100 x^4\right) \log (5)+\left(-80-120 x^2-25 x^4\right) \log ^2(5)\right)+e^{3 e^x} \left(3360+5760 x+7272 x^2+3520 x^3+1560 x^4+\left(5120+5120 x+9216 x^2+2560 x^3+2240 x^4\right) \log (5)+\left(3840+1280 x+6144 x^2+640 x^3+1360 x^4\right) \log ^2(5)+\left(1280+1920 x^2+400 x^4\right) \log ^3(5)+\left(160+240 x^2+50 x^4\right) \log ^4(5)+e^x \left(-1600 x-2560 x^2-1648 x^3-960 x^4-144 x^5+\left(-1920 x^2-384 x^3-480 x^4-96 x^5\right) \log (5)+\left(-480 x^2-96 x^3-120 x^4-24 x^5\right) \log ^2(5)\right)\right)+e^{2 e^x} \left(-19840-46400 x-54528 x^2-28800 x^3-8640 x^4+\left(-40320-69120 x-87264 x^2-42240 x^3-18720 x^4\right) \log (5)+\left(-40800-48000 x-77112 x^2-25920 x^3-18120 x^4\right) \log ^2(5)+\left(-25600-15360 x-43008 x^2-7680 x^3-9920 x^4\right) \log ^3(5)+\left(-9600-1920 x-14976 x^2-960 x^3-3240 x^4\right) \log ^4(5)+\left(-1920-2880 x^2-600 x^4\right) \log ^5(5)+\left(-160-240 x^2-50 x^4\right) \log ^6(5)+e^x \left(12800 x+24800 x^2+18848 x^3+7200 x^4+864 x^5+\left(12800 x+20480 x^2+13184 x^3+7680 x^4+1152 x^5\right) \log (5)+\left(3200 x+12800 x^2+4832 x^3+3840 x^4+672 x^5\right) \log ^2(5)+\left(3840 x^2+768 x^3+960 x^4+192 x^5\right) \log ^3(5)+\left(480 x^2+96 x^3+120 x^4+24 x^5\right) \log ^4(5)\right)\right)+e^{e^x} \left(68880+192640 x+211104 x^2+103680 x^3+23760 x^4+\left(158720+371200 x+436224 x^2+230400 x^3+69120 x^4\right) \log (5)+\left(200960+369280 x+458112 x^2+226560 x^3+92160 x^4\right) \log ^2(5)+\left(162560+220160 x+321984 x^2+125440 x^3+73280 x^4\right) \log ^3(5)+\left(92000+78720 x+163128 x^2+41280 x^3+37960 x^4\right) \log ^4(5)+\left(35840+15360 x+58368 x^2+7680 x^3+13120 x^4\right) \log ^5(5)+\left(8960+1280 x+13824 x^2+640 x^3+2960 x^4\right) \log ^6(5)+\left(1280+1920 x^2+400 x^4\right) \log ^7(5)+\left(80+120 x^2+25 x^4\right) \log ^8(5)+e^x \left(-65600 x-100480 x^2-60672 x^3-17280 x^4-1728 x^5+\left(-51200 x-99200 x^2-75392 x^3-28800 x^4-3456 x^5\right) \log (5)+\left(-38400 x-65760 x^2-45216 x^3-22560 x^4-3168 x^5\right) \log ^2(5)+\left(-12800 x-30720 x^2-15232 x^3-10240 x^4-1664 x^5\right) \log ^3(5)+\left(-1600 x-10240 x^2-3184 x^3-2880 x^4-528 x^5\right) \log ^4(5)+\left(-1920 x^2-384 x^3-480 x^4-96 x^5\right) \log ^5(5)+\left(-160 x^2-32 x^3-40 x^4-8 x^5\right) \log ^6(5)\right)\right)}{-1024+e^{5 e^x}-5120 \log (5)-11520 \log ^2(5)-15360 \log ^3(5)-13440 \log ^4(5)-8064 \log ^5(5)-3360 \log ^6(5)-960 \log ^7(5)-180 \log ^8(5)-20 \log ^9(5)-\log ^{10}(5)+e^{4 e^x} \left(-20-20 \log (5)-5 \log ^2(5)\right)+e^{3 e^x} \left(160+320 \log (5)+240 \log ^2(5)+80 \log ^3(5)+10 \log ^4(5)\right)+e^{2 e^x} \left(-640-1920 \log (5)-2400 \log ^2(5)-1600 \log ^3(5)-600 \log ^4(5)-120 \log ^5(5)-10 \log ^6(5)\right)+e^{e^x} \left(1280+5120 \log (5)+8960 \log ^2(5)+8960 \log ^3(5)+5600 \log ^4(5)+2240 \log ^5(5)+560 \log ^6(5)+80 \log ^7(5)+5 \log ^8(5)\right)} \, dx","Integrate[(-107584 - 314880*x - 314496*x^2 - 138240*x^3 - 25920*x^4 + E^(5*E^x)*(16 + 24*x^2 + 5*x^4) + (-275520 - 770560*x - 844416*x^2 - 414720*x^3 - 95040*x^4)*Log[5] + (-386320 - 935040*x - 1083552*x^2 - 564480*x^3 - 162000*x^4)*Log[5]^2 + (-373760 - 739840*x - 901632*x^2 - 455680*x^3 - 168960*x^4)*Log[5]^3 + (-263040 - 404800*x - 551040*x^2 - 238720*x^3 - 119360*x^4)*Log[5]^4 + (-138624 - 151040*x - 259296*x^2 - 83200*x^3 - 59680*x^4)*Log[5]^5 + (-54560 - 36480*x - 93288*x^2 - 18880*x^3 - 21400*x^4)*Log[5]^6 + (-15360 - 5120*x - 24576*x^2 - 2560*x^3 - 5440*x^4)*Log[5]^7 + (-2880 - 320*x - 4416*x^2 - 160*x^3 - 940*x^4)*Log[5]^8 + (-320 - 480*x^2 - 100*x^4)*Log[5]^9 + (-16 - 24*x^2 - 5*x^4)*Log[5]^10 + E^(4*E^x)*(-320 - 320*x - 576*x^2 - 160*x^3 - 140*x^4 + E^x*(160*x^2 + 32*x^3 + 40*x^4 + 8*x^5) + (-320 - 480*x^2 - 100*x^4)*Log[5] + (-80 - 120*x^2 - 25*x^4)*Log[5]^2) + E^(3*E^x)*(3360 + 5760*x + 7272*x^2 + 3520*x^3 + 1560*x^4 + (5120 + 5120*x + 9216*x^2 + 2560*x^3 + 2240*x^4)*Log[5] + (3840 + 1280*x + 6144*x^2 + 640*x^3 + 1360*x^4)*Log[5]^2 + (1280 + 1920*x^2 + 400*x^4)*Log[5]^3 + (160 + 240*x^2 + 50*x^4)*Log[5]^4 + E^x*(-1600*x - 2560*x^2 - 1648*x^3 - 960*x^4 - 144*x^5 + (-1920*x^2 - 384*x^3 - 480*x^4 - 96*x^5)*Log[5] + (-480*x^2 - 96*x^3 - 120*x^4 - 24*x^5)*Log[5]^2)) + E^(2*E^x)*(-19840 - 46400*x - 54528*x^2 - 28800*x^3 - 8640*x^4 + (-40320 - 69120*x - 87264*x^2 - 42240*x^3 - 18720*x^4)*Log[5] + (-40800 - 48000*x - 77112*x^2 - 25920*x^3 - 18120*x^4)*Log[5]^2 + (-25600 - 15360*x - 43008*x^2 - 7680*x^3 - 9920*x^4)*Log[5]^3 + (-9600 - 1920*x - 14976*x^2 - 960*x^3 - 3240*x^4)*Log[5]^4 + (-1920 - 2880*x^2 - 600*x^4)*Log[5]^5 + (-160 - 240*x^2 - 50*x^4)*Log[5]^6 + E^x*(12800*x + 24800*x^2 + 18848*x^3 + 7200*x^4 + 864*x^5 + (12800*x + 20480*x^2 + 13184*x^3 + 7680*x^4 + 1152*x^5)*Log[5] + (3200*x + 12800*x^2 + 4832*x^3 + 3840*x^4 + 672*x^5)*Log[5]^2 + (3840*x^2 + 768*x^3 + 960*x^4 + 192*x^5)*Log[5]^3 + (480*x^2 + 96*x^3 + 120*x^4 + 24*x^5)*Log[5]^4)) + E^E^x*(68880 + 192640*x + 211104*x^2 + 103680*x^3 + 23760*x^4 + (158720 + 371200*x + 436224*x^2 + 230400*x^3 + 69120*x^4)*Log[5] + (200960 + 369280*x + 458112*x^2 + 226560*x^3 + 92160*x^4)*Log[5]^2 + (162560 + 220160*x + 321984*x^2 + 125440*x^3 + 73280*x^4)*Log[5]^3 + (92000 + 78720*x + 163128*x^2 + 41280*x^3 + 37960*x^4)*Log[5]^4 + (35840 + 15360*x + 58368*x^2 + 7680*x^3 + 13120*x^4)*Log[5]^5 + (8960 + 1280*x + 13824*x^2 + 640*x^3 + 2960*x^4)*Log[5]^6 + (1280 + 1920*x^2 + 400*x^4)*Log[5]^7 + (80 + 120*x^2 + 25*x^4)*Log[5]^8 + E^x*(-65600*x - 100480*x^2 - 60672*x^3 - 17280*x^4 - 1728*x^5 + (-51200*x - 99200*x^2 - 75392*x^3 - 28800*x^4 - 3456*x^5)*Log[5] + (-38400*x - 65760*x^2 - 45216*x^3 - 22560*x^4 - 3168*x^5)*Log[5]^2 + (-12800*x - 30720*x^2 - 15232*x^3 - 10240*x^4 - 1664*x^5)*Log[5]^3 + (-1600*x - 10240*x^2 - 3184*x^3 - 2880*x^4 - 528*x^5)*Log[5]^4 + (-1920*x^2 - 384*x^3 - 480*x^4 - 96*x^5)*Log[5]^5 + (-160*x^2 - 32*x^3 - 40*x^4 - 8*x^5)*Log[5]^6)))/(-1024 + E^(5*E^x) - 5120*Log[5] - 11520*Log[5]^2 - 15360*Log[5]^3 - 13440*Log[5]^4 - 8064*Log[5]^5 - 3360*Log[5]^6 - 960*Log[5]^7 - 180*Log[5]^8 - 20*Log[5]^9 - Log[5]^10 + E^(4*E^x)*(-20 - 20*Log[5] - 5*Log[5]^2) + E^(3*E^x)*(160 + 320*Log[5] + 240*Log[5]^2 + 80*Log[5]^3 + 10*Log[5]^4) + E^(2*E^x)*(-640 - 1920*Log[5] - 2400*Log[5]^2 - 1600*Log[5]^3 - 600*Log[5]^4 - 120*Log[5]^5 - 10*Log[5]^6) + E^E^x*(1280 + 5120*Log[5] + 8960*Log[5]^2 + 8960*Log[5]^3 + 5600*Log[5]^4 + 2240*Log[5]^5 + 560*Log[5]^6 + 80*Log[5]^7 + 5*Log[5]^8)),x]","x \left(x^4+8 x^2+\frac{8 (x+5)^2 \left(3 x^2+4\right)}{\left(e^{e^x}-(2+\log (5))^2\right)^2}+\frac{8 \left(x^3+5 x^2+4 x+20\right) x}{(2+\log (5))^2-e^{e^x}}+\frac{e^{-x} (x+5)^2 \left(16 e^x (x+5)^2+x \left(-40 \log ^3(5)+5 \log ^2(625)+\log ^2(5) (\log (9094947017729282379150390625)-80)\right)\right)}{\left(e^{e^x}-(2+\log (5))^2\right)^4}+\frac{32 (x+5)^3 x}{\left((2+\log (5))^2-e^{e^x}\right)^3}+16\right)","x \left(\left(x-\frac{2 (x+5)}{e^{e^x}-(2+\log (5))^2}\right)^2+4\right)^2+3",1,"x*(16 + 8*x^2 + x^4 + (8*(5 + x)^2*(4 + 3*x^2))/(E^E^x - (2 + Log[5])^2)^2 + (32*x*(5 + x)^3)/(-E^E^x + (2 + Log[5])^2)^3 + (8*x*(20 + 4*x + 5*x^2 + x^3))/(-E^E^x + (2 + Log[5])^2) + ((5 + x)^2*(16*E^x*(5 + x)^2 + x*(-40*Log[5]^3 + 5*Log[625]^2 + Log[5]^2*(-80 + Log[9094947017729282379150390625]))))/(E^x*(E^E^x - (2 + Log[5])^2)^4))","B",0
1773,1,17,21,0.1737194,"\int \frac{-13+e^x (-3-3 x)}{9-9 e+13 x+3 e^x x} \, dx","Integrate[(-13 + E^x*(-3 - 3*x))/(9 - 9*E + 13*x + 3*E^x*x),x]","-\log \left(3 e^x x+13 x-9 e+9\right)","\log \left(\frac{1}{\frac{1}{3} \left(e^x+\frac{4}{3}\right) x+x-e+1}\right)",1,"-Log[9 - 9*E + 13*x + 3*E^x*x]","A",1
1774,1,38,23,0.3779247,"\int \frac{-x^3 \log (x)+x^3 \log ^2(x)+\left(-3 x^2 \log (x)+3 x^2 \log ^2(x)\right) \log (\log (x))+\left(-3 x \log (x)+3 x \log ^2(x)\right) \log ^2(\log (x))+\left(-\log (x)+\log ^2(x)\right) \log ^3(\log (x))+\exp \left(\frac{x^2+2 x^3+x^4+\left(2 x^2+2 x^3\right) \log (\log (x))+x^2 \log ^2(\log (x))}{x^2+2 x \log (\log (x))+\log ^2(\log (x))}\right) \left(2 x^2+2 x^3+\left(x^3-2 x^4-2 x^5\right) \log (x)+\left(2 x^2+\left(x^2-6 x^3-6 x^4\right) \log (x)\right) \log (\log (x))+\left(3 x-4 x^2-6 x^3\right) \log (x) \log ^2(\log (x))+\left(1-2 x^2\right) \log (x) \log ^3(\log (x))\right)}{x^4 \log ^2(x)+3 x^3 \log ^2(x) \log (\log (x))+3 x^2 \log ^2(x) \log ^2(\log (x))+x \log ^2(x) \log ^3(\log (x))+\exp \left(\frac{x^2+2 x^3+x^4+\left(2 x^2+2 x^3\right) \log (\log (x))+x^2 \log ^2(\log (x))}{x^2+2 x \log (\log (x))+\log ^2(\log (x))}\right) \left(x^4 \log (x)+3 x^3 \log (x) \log (\log (x))+3 x^2 \log (x) \log ^2(\log (x))+x \log (x) \log ^3(\log (x))\right)} \, dx","Integrate[(-(x^3*Log[x]) + x^3*Log[x]^2 + (-3*x^2*Log[x] + 3*x^2*Log[x]^2)*Log[Log[x]] + (-3*x*Log[x] + 3*x*Log[x]^2)*Log[Log[x]]^2 + (-Log[x] + Log[x]^2)*Log[Log[x]]^3 + E^((x^2 + 2*x^3 + x^4 + (2*x^2 + 2*x^3)*Log[Log[x]] + x^2*Log[Log[x]]^2)/(x^2 + 2*x*Log[Log[x]] + Log[Log[x]]^2))*(2*x^2 + 2*x^3 + (x^3 - 2*x^4 - 2*x^5)*Log[x] + (2*x^2 + (x^2 - 6*x^3 - 6*x^4)*Log[x])*Log[Log[x]] + (3*x - 4*x^2 - 6*x^3)*Log[x]*Log[Log[x]]^2 + (1 - 2*x^2)*Log[x]*Log[Log[x]]^3))/(x^4*Log[x]^2 + 3*x^3*Log[x]^2*Log[Log[x]] + 3*x^2*Log[x]^2*Log[Log[x]]^2 + x*Log[x]^2*Log[Log[x]]^3 + E^((x^2 + 2*x^3 + x^4 + (2*x^2 + 2*x^3)*Log[Log[x]] + x^2*Log[Log[x]]^2)/(x^2 + 2*x*Log[Log[x]] + Log[Log[x]]^2))*(x^4*Log[x] + 3*x^3*Log[x]*Log[Log[x]] + 3*x^2*Log[x]*Log[Log[x]]^2 + x*Log[x]*Log[Log[x]]^3)),x]","\log (x)-\log \left(\exp \left(x^2+\frac{2 x^2}{x+\log (\log (x))}+\frac{x^2}{(x+\log (\log (x)))^2}\right)+\log (x)\right)","\log \left(\frac{x}{\log (x)+e^{\left(x+\frac{x}{x+\log (\log (x))}\right)^2}}\right)",1,"Log[x] - Log[E^(x^2 + x^2/(x + Log[Log[x]])^2 + (2*x^2)/(x + Log[Log[x]])) + Log[x]]","A",1
1775,1,14,20,0.0518854,"\int \frac{-306000+e^{2 x/25} (3600-288 x)}{180625-4250 e^{2 x/25}+25 e^{4 x/25}} \, dx","Integrate[(-306000 + E^((2*x)/25)*(3600 - 288*x))/(180625 - 4250*E^((2*x)/25) + 25*E^((4*x)/25)),x]","\frac{144 x}{e^{2 x/25}-85}","\frac{9 x}{\frac{1}{16} \left(e^{2 x/25}-5\right)-5}",1,"(144*x)/(-85 + E^((2*x)/25))","A",1
1776,1,39,30,0.0422575,"\int \frac{-8 e^{3+x} x^2+2 e^3 x^2 \log (3)+e^{25+2 x} \left(e^{3+x} (2-6 x)+e^3 x^2 \log (3)\right)}{x^2} \, dx","Integrate[(-8*E^(3 + x)*x^2 + 2*E^3*x^2*Log[3] + E^(25 + 2*x)*(E^(3 + x)*(2 - 6*x) + E^3*x^2*Log[3]))/x^2,x]","e^3 \left(-8 e^x-\frac{2 e^{3 x+25}}{x}+x \log (9)+\frac{1}{2} e^{2 x+25} \log (3)\right)","e^3 \left(2 x+\frac{1}{2} e^{2 x+25}\right) \left(\log (3)-\frac{4 e^x}{x}\right)",1,"E^3*(-8*E^x - (2*E^(25 + 3*x))/x + (E^(25 + 2*x)*Log[3])/2 + x*Log[9])","A",1
1777,1,31,25,5.1868658,"\int \frac{e^{-x} \left(3 e^{1+x}+x^{\frac{1}{3} e^{-x} \left(-2 x+2 e^x x\right)} \left(-6 x+e^x (3+6 x)+\left(-8 x+8 e^x x+6 x^2\right) \log (x)+\left(-2 x+2 e^x x+2 x^2\right) \log ^2(x)\right)\right)}{3 x} \, dx","Integrate[(3*E^(1 + x) + x^((-2*x + 2*E^x*x)/(3*E^x))*(-6*x + E^x*(3 + 6*x) + (-8*x + 8*E^x*x + 6*x^2)*Log[x] + (-2*x + 2*E^x*x + 2*x^2)*Log[x]^2))/(3*E^x*x),x]","\frac{1}{3} \left(x^{-\frac{2}{3} \left(e^{-x}-1\right) x} (3 \log (x)+9)+3 e \log (x)\right)","\left(x^{\frac{1}{3} \left(2 x-2 e^{-x} x\right)}+e\right) (\log (x)+3)",1,"(3*E*Log[x] + (9 + 3*Log[x])/x^((2*(-1 + E^(-x))*x)/3))/3","A",1
1778,1,8,13,0.0018375,"\int \frac{3+x}{1+x} \, dx","Integrate[(3 + x)/(1 + x),x]","x+2 \log (x+1)","\log \left(-\frac{25}{2} e^x (x+1)^2\right)",1,"x + 2*Log[1 + x]","A",1
1779,1,24,25,0.0027011,"\int \frac{7+5 e^2-12 x^2+5 \log (x)}{e} \, dx","Integrate[(7 + 5*E^2 - 12*x^2 + 5*Log[x])/E,x]","\frac{-4 x^3+5 e^2 x+2 x+5 x \log (x)}{e}","\frac{x \left(-4 x^2-\frac{3}{x}+5 \left(\log (x)+e^2\right)+2\right)}{e}",1,"(2*x + 5*E^2*x - 4*x^3 + 5*x*Log[x])/E","A",1
1780,1,20,15,0.0965979,"\int \frac{e^{-2+x-x^6} \left(-1+6 x^5\right)}{-1+e^{-2+x-x^6}} \, dx","Integrate[(E^(-2 + x - x^6)*(-1 + 6*x^5))/(-1 + E^(-2 + x - x^6)),x]","x^6-\log \left(e^x-e^{x^6+2}\right)","-\log \left(e^{-x^6+x-2}-1\right)",1,"x^6 - Log[E^x - E^(2 + x^6)]","A",1
1781,1,14,14,0.0009739,"\int -\frac{e^{2 e^5}}{480 x^2} \, dx","Integrate[-1/480*E^(2*E^5)/x^2,x]","\frac{e^{2 e^5}}{480 x}","\frac{e^{2 e^5}}{480 x}",1,"E^(2*E^5)/(480*x)","A",1
1782,1,69,27,0.0766326,"\int \frac{2 e^3 x-x \log (x)+\left(-1+2 x-x^2+e^3 (-2+2 x)\right) \log \left(-\frac{\log (3)}{1+2 e^3-x}\right)}{x+2 e^3 x-x^2} \, dx","Integrate[(2*E^3*x - x*Log[x] + (-1 + 2*x - x^2 + E^3*(-2 + 2*x))*Log[-(Log[3]/(1 + 2*E^3 - x))])/(x + 2*E^3*x - x^2),x]","x+\left(\log \left(1+2 e^3\right)-2 e^3\right) \log \left(-x+2 e^3+1\right)-\left(-x+\log \left(\frac{x}{1+2 e^3}\right)+2 e^3+1\right) \log \left(-\frac{\log (3)}{-x+2 e^3+1}\right)","x-(-x+\log (x)+1) \log \left(\frac{\log (3)}{x-2 e^3-1}\right)+\log (2)",1,"x + (-2*E^3 + Log[1 + 2*E^3])*Log[1 + 2*E^3 - x] - (1 + 2*E^3 - x + Log[x/(1 + 2*E^3)])*Log[-(Log[3]/(1 + 2*E^3 - x))]","B",1
1783,1,24,24,0.4381121,"\int \frac{500 x+200 x \log (3)+20 x \log ^2(3)+e^{e^x+x} \left(-500 x-200 x \log (3)-20 x \log ^2(3)\right)+\left(-1500+250 x+(-600+100 x) \log (3)+(-60+10 x) \log ^2(3)+e^{e^x} \left(-250-100 \log (3)-10 \log ^2(3)\right)\right) \log \left(6+e^{e^x}-x\right)}{\left(6 x^2+e^{e^x} x^2-x^3\right) \log ^3\left(6+e^{e^x}-x\right)} \, dx","Integrate[(500*x + 200*x*Log[3] + 20*x*Log[3]^2 + E^(E^x + x)*(-500*x - 200*x*Log[3] - 20*x*Log[3]^2) + (-1500 + 250*x + (-600 + 100*x)*Log[3] + (-60 + 10*x)*Log[3]^2 + E^E^x*(-250 - 100*Log[3] - 10*Log[3]^2))*Log[6 + E^E^x - x])/((6*x^2 + E^E^x*x^2 - x^3)*Log[6 + E^E^x - x]^3),x]","\frac{10 (5+\log (3))^2}{x \log ^2\left(-x+e^{e^x}+6\right)}","\frac{10 (5+\log (3))^2}{x \log ^2\left(-x+e^{e^x}+6\right)}",1,"(10*(5 + Log[3])^2)/(x*Log[6 + E^E^x - x]^2)","A",1
1784,1,29,26,0.691396,"\int e^{-4+\frac{2-4 e^{4+x}-\log (x)}{e^4}} \left(-x+2 e^4 x+\left(1-e^4\right) \log (20)+e^x \left(-4 e^4 x^2+4 e^4 x \log (20)\right)\right) \, dx","Integrate[E^(-4 + (2 - 4*E^(4 + x) - Log[x])/E^4)*(-x + 2*E^4*x + (1 - E^4)*Log[20] + E^x*(-4*E^4*x^2 + 4*E^4*x*Log[20])),x]","e^{\frac{2}{e^4}-4 e^x} x^{1-\frac{1}{e^4}} (x-\log (20))","x e^{\frac{2-\log (x)}{e^4}-4 e^x} (x-\log (20))",1,"E^(2/E^4 - 4*E^x)*x^(1 - E^(-4))*(x - Log[20])","A",1
1785,1,39,33,0.0139916,"\int \frac{-5+2 x^2+\left(x+4 x^2\right) \log \left(\frac{-4 e x+5 x \log (3)}{e}\right)}{x} \, dx","Integrate[(-5 + 2*x^2 + (x + 4*x^2)*Log[(-4*E*x + 5*x*Log[3])/E])/x,x]","2 x^2 \log \left(x \left(\frac{5 \log (3)}{e}-4\right)\right)-x+x \log \left(x \left(\frac{5 \log (3)}{e}-4\right)\right)-5 \log (x)","-\left(-2 x^2-x+5\right) \log \left(x+5 \left(\frac{x \log (3)}{e}-x\right)\right)-x+3",1,"-x - 5*Log[x] + x*Log[x*(-4 + (5*Log[3])/E)] + 2*x^2*Log[x*(-4 + (5*Log[3])/E)]","A",1
1786,1,19,20,0.0214912,"\int \frac{1}{9} \left(e^{2+\frac{x}{2}} (12+6 x)+e^{4+x} \left(2 x+x^2\right)\right) \, dx","Integrate[(E^(2 + x/2)*(12 + 6*x) + E^(4 + x)*(2*x + x^2))/9,x]","\frac{1}{9} \left(e^{\frac{x}{2}+2} x+6\right)^2","\left(-\frac{1}{3} e^{\frac{x}{2}+2} x-2\right)^2-5",1,"(6 + E^(2 + x/2)*x)^2/9","A",1
1787,1,28,25,0.0278832,"\int \frac{2 x+32 x^2+32 x^4+6 x^6+\left(5+e^2+2 x+16 x^2+8 x^4+x^6\right) \log \left(-5-e^2-2 x-16 x^2-8 x^4-x^6\right)}{5+e^2+2 x+16 x^2+8 x^4+x^6} \, dx","Integrate[(2*x + 32*x^2 + 32*x^4 + 6*x^6 + (5 + E^2 + 2*x + 16*x^2 + 8*x^4 + x^6)*Log[-5 - E^2 - 2*x - 16*x^2 - 8*x^4 - x^6])/(5 + E^2 + 2*x + 16*x^2 + 8*x^4 + x^6),x]","x \log \left(-x^6-8 x^4-16 x^2-2 x-e^2-5\right)","x \log \left(-x^2 \left(x^2+4\right)^2-2 x-e^2-5\right)",1,"x*Log[-5 - E^2 - 2*x - 16*x^2 - 8*x^4 - x^6]","A",1
1788,1,49,21,0.1479572,"\int \frac{-160-8 x^3+\left(160+8 x^3\right) \log \left(\frac{1600-16000 x+40000 x^2-80 x^3+400 x^4+x^6}{400 x^2}\right)}{-40 x+200 x^2+x^4} \, dx","Integrate[(-160 - 8*x^3 + (160 + 8*x^3)*Log[(1600 - 16000*x + 40000*x^2 - 80*x^3 + 400*x^4 + x^6)/(400*x^2)])/(-40*x + 200*x^2 + x^4),x]","8 \left(\frac{1}{8} \log ^2\left(\frac{\left(x^3+200 x-40\right)^2}{400 x^2}\right)-\frac{1}{4} \log \left(\frac{\left(x^3+200 x-40\right)^2}{400 x^2}\right)\right)","\left(\log \left(\left(\frac{x^2}{20}-\frac{2}{x}+10\right)^2\right)-1\right)^2",1,"8*(-1/4*Log[(-40 + 200*x + x^3)^2/(400*x^2)] + Log[(-40 + 200*x + x^3)^2/(400*x^2)]^2/8)","B",1
1789,1,35,31,0.1186561,"\int \frac{-625 x-1250 x^3+1875 x^4+e^x \left(625+1250 x^2-1875 x^3\right)+\left(-2+2 e^x\right) \log \left(e^x-x\right)+\left(1250 x^2-2500 x^3+e^x \left(-1250 x+2500 x^2\right)\right) \log (x)+\left(-625 e^x x+625 x^2\right) \log ^2(x)+\log ^2\left(e^x-x\right) \left(-2 x^2+3 x^3+e^x \left(2 x-3 x^2\right)+\left(2 x-4 x^2+e^x (-2+4 x)\right) \log (x)+\left(-e^x+x\right) \log ^2(x)\right)}{625 e^x x-625 x^2+\left(e^x-x\right) \log ^2\left(e^x-x\right)} \, dx","Integrate[(-625*x - 1250*x^3 + 1875*x^4 + E^x*(625 + 1250*x^2 - 1875*x^3) + (-2 + 2*E^x)*Log[E^x - x] + (1250*x^2 - 2500*x^3 + E^x*(-1250*x + 2500*x^2))*Log[x] + (-625*E^x*x + 625*x^2)*Log[x]^2 + Log[E^x - x]^2*(-2*x^2 + 3*x^3 + E^x*(2*x - 3*x^2) + (2*x - 4*x^2 + E^x*(-2 + 4*x))*Log[x] + (-E^x + x)*Log[x]^2))/(625*E^x*x - 625*x^2 + (E^x - x)*Log[E^x - x]^2),x]","-x^3+2 x^2 \log (x)-x \log ^2(x)+\log \left(625 x+\log ^2\left(e^x-x\right)\right)","\log \left(-x-\frac{1}{625} \log ^2\left(e^x-x\right)\right)-x (\log (x)-x)^2",1,"-x^3 + 2*x^2*Log[x] - x*Log[x]^2 + Log[625*x + Log[E^x - x]^2]","A",1
1790,1,17,21,0.0155343,"\int \frac{5-5 \log \left(\frac{1}{2} (5 x-e x)\right)}{x \log \left(\frac{1}{2} (5 x-e x)\right)} \, dx","Integrate[(5 - 5*Log[(5*x - E*x)/2])/(x*Log[(5*x - E*x)/2]),x]","5 \log \left(\log \left(-\frac{1}{2} (e-5) x\right)\right)-5 \log (x)","5 \log \left(\frac{16 \log \left(\frac{1}{2} (5-e) x\right)}{x}\right)+5",1,"-5*Log[x] + 5*Log[Log[-1/2*((-5 + E)*x)]]","A",1
1791,1,22,22,0.5056631,"\int \frac{-48+180 x+96 x^2+12 x^3+12 x \log \left(\frac{x}{5}\right)}{80 x^3+40 x^4+5 x^5+\left(-40 x^2-10 x^3\right) \log \left(\frac{x}{5}\right)+5 x \log ^2\left(\frac{x}{5}\right)} \, dx","Integrate[(-48 + 180*x + 96*x^2 + 12*x^3 + 12*x*Log[x/5])/(80*x^3 + 40*x^4 + 5*x^5 + (-40*x^2 - 10*x^3)*Log[x/5] + 5*x*Log[x/5]^2),x]","-\frac{12 (x+4)}{5 \left(x^2+4 x-\log (x)+\log (5)\right)}","\frac{12}{5 \left(\frac{\log \left(\frac{x}{5}\right)}{x+4}-x\right)}",1,"(-12*(4 + x))/(5*(4*x + x^2 + Log[5] - Log[x]))","A",1
1792,1,23,28,0.0294212,"\int \frac{324 x^3+e^{4/x} (-324+162 x)+e^{2/x} \left(324 x-486 x^2\right)}{\sqrt[256]{e}} \, dx","Integrate[(324*x^3 + E^(4/x)*(-324 + 162*x) + E^(2/x)*(324*x - 486*x^2))/E^(1/256),x]","\frac{81 \left(e^{2/x}-x\right)^2 x^2}{\sqrt[256]{e}}","\frac{81 x^2 \left(x-e^{2/x}\right)^2}{\sqrt[256]{e}}+4 \log (4)",1,"(81*(E^(2/x) - x)^2*x^2)/E^(1/256)","A",1
1793,1,19,19,0.2792827,"\int \frac{e^{\frac{5 x^6}{5-x+5 x^4}} \left(150 x^5-25 x^6+50 x^9\right)}{25-10 x+x^2+50 x^4-10 x^5+25 x^8} \, dx","Integrate[(E^((5*x^6)/(5 - x + 5*x^4))*(150*x^5 - 25*x^6 + 50*x^9))/(25 - 10*x + x^2 + 50*x^4 - 10*x^5 + 25*x^8),x]","e^{\frac{5 x^6}{5 x^4-x+5}}","e^{\frac{5 x^2}{5-\frac{x-5}{x^4}}}",1,"E^((5*x^6)/(5 - x + 5*x^4))","A",1
1794,1,25,28,0.2587879,"\int \frac{-1+\left(1+8 x^3\right) \log \left(\frac{1}{x}\right)+\left(2+16 x^3\right) \log ^2\left(\frac{1}{x}\right)+\left(\left(-1-8 x^2\right) \log \left(\frac{1}{x}\right)+\left(-2-16 x^2\right) \log ^2\left(\frac{1}{x}\right)\right) \log (x)+\left(2 x \log \left(\frac{1}{x}\right)+4 x \log ^2\left(\frac{1}{x}\right)\right) \log ^2(x)+\left(\left(1+8 x^2\right) \log \left(\frac{1}{x}\right)+\left(2+16 x^2\right) \log ^2\left(\frac{1}{x}\right)+\left(-4 x \log \left(\frac{1}{x}\right)-8 x \log ^2\left(\frac{1}{x}\right)\right) \log (x)\right) \log \left(\frac{1+2 \log \left(\frac{1}{x}\right)}{\log \left(\frac{1}{x}\right)}\right)+\left(2 x \log \left(\frac{1}{x}\right)+4 x \log ^2\left(\frac{1}{x}\right)\right) \log ^2\left(\frac{1+2 \log \left(\frac{1}{x}\right)}{\log \left(\frac{1}{x}\right)}\right)}{4 x^2 \log \left(\frac{1}{x}\right)+8 x^2 \log ^2\left(\frac{1}{x}\right)+\left(-4 x \log \left(\frac{1}{x}\right)-8 x \log ^2\left(\frac{1}{x}\right)\right) \log (x)+\left(\log \left(\frac{1}{x}\right)+2 \log ^2\left(\frac{1}{x}\right)\right) \log ^2(x)+\left(4 x \log \left(\frac{1}{x}\right)+8 x \log ^2\left(\frac{1}{x}\right)+\left(-2 \log \left(\frac{1}{x}\right)-4 \log ^2\left(\frac{1}{x}\right)\right) \log (x)\right) \log \left(\frac{1+2 \log \left(\frac{1}{x}\right)}{\log \left(\frac{1}{x}\right)}\right)+\left(\log \left(\frac{1}{x}\right)+2 \log ^2\left(\frac{1}{x}\right)\right) \log ^2\left(\frac{1+2 \log \left(\frac{1}{x}\right)}{\log \left(\frac{1}{x}\right)}\right)} \, dx","Integrate[(-1 + (1 + 8*x^3)*Log[x^(-1)] + (2 + 16*x^3)*Log[x^(-1)]^2 + ((-1 - 8*x^2)*Log[x^(-1)] + (-2 - 16*x^2)*Log[x^(-1)]^2)*Log[x] + (2*x*Log[x^(-1)] + 4*x*Log[x^(-1)]^2)*Log[x]^2 + ((1 + 8*x^2)*Log[x^(-1)] + (2 + 16*x^2)*Log[x^(-1)]^2 + (-4*x*Log[x^(-1)] - 8*x*Log[x^(-1)]^2)*Log[x])*Log[(1 + 2*Log[x^(-1)])/Log[x^(-1)]] + (2*x*Log[x^(-1)] + 4*x*Log[x^(-1)]^2)*Log[(1 + 2*Log[x^(-1)])/Log[x^(-1)]]^2)/(4*x^2*Log[x^(-1)] + 8*x^2*Log[x^(-1)]^2 + (-4*x*Log[x^(-1)] - 8*x*Log[x^(-1)]^2)*Log[x] + (Log[x^(-1)] + 2*Log[x^(-1)]^2)*Log[x]^2 + (4*x*Log[x^(-1)] + 8*x*Log[x^(-1)]^2 + (-2*Log[x^(-1)] - 4*Log[x^(-1)]^2)*Log[x])*Log[(1 + 2*Log[x^(-1)])/Log[x^(-1)]] + (Log[x^(-1)] + 2*Log[x^(-1)]^2)*Log[(1 + 2*Log[x^(-1)])/Log[x^(-1)]]^2),x]","x^2+\frac{x}{2 x-\log (x)+\log \left(\frac{1}{\log \left(\frac{1}{x}\right)}+2\right)}","x^2+\frac{x}{2 x-\log (x)+\log \left(\frac{1}{\log \left(\frac{1}{x}\right)}+2\right)}+e^4",1,"x^2 + x/(2*x - Log[x] + Log[2 + Log[x^(-1)]^(-1)])","A",1
1795,1,23,22,0.0683344,"\int \left(-2 e^x+e^{-20+e^{e^3} (-5+x)+5 x} \left(5+e^{e^3}\right)\right) \, dx","Integrate[-2*E^x + E^(-20 + E^E^3*(-5 + x) + 5*x)*(5 + E^E^3),x]","e^{e^{e^3} (x-5)+5 (x-4)}-2 e^x","-2 e^x+e^{\left(4+e^{e^3}\right) (x-5)+x}-2",1,"E^(E^E^3*(-5 + x) + 5*(-4 + x)) - 2*E^x","A",1
1796,1,23,24,0.2864425,"\int \frac{e^{\frac{1}{5} \left(x+x^2+5 e^8 x^8\right)} \left(1+2 x+40 e^8 x^7\right)}{2+e^{\frac{1}{5} \left(x+x^2+5 e^8 x^8\right)}} \, dx","Integrate[(E^((x + x^2 + 5*E^8*x^8)/5)*(1 + 2*x + 40*E^8*x^7))/(2 + E^((x + x^2 + 5*E^8*x^8)/5)),x]","5 \log \left(e^{\frac{1}{5} x \left(5 e^8 x^7+x+1\right)}+2\right)","5 \log \left(e^{e^8 x^8+\frac{1}{5} \left(x^2+x\right)}+2\right)",1,"5*Log[2 + E^((x*(1 + x + 5*E^8*x^7))/5)]","A",1
1797,1,24,24,0.0456526,"\int \frac{-1764-64 e^{\frac{32}{x^2}} x^2+210 x^3+50 x^6+e^{\frac{16}{x^2}} \left(-1344-84 x^2+320 x^3-10 x^5\right)}{x^5} \, dx","Integrate[(-1764 - 64*E^(32/x^2)*x^2 + 210*x^3 + 50*x^6 + E^(16/x^2)*(-1344 - 84*x^2 + 320*x^3 - 10*x^5))/x^5,x]","\frac{\left(-5 x^3+e^{\frac{16}{x^2}} x^2+21\right)^2}{x^4}","\left(-e^{\frac{16}{x^2}}+4 \left(x-\frac{21}{4 x^2}\right)+x\right)^2",1,"(21 + E^(16/x^2)*x^2 - 5*x^3)^2/x^4","A",1
1798,0,0,30,1.1911738,"\int \frac{\left(96 x^2-3 x^3+e^x \left(-32 x^3+x^4\right)\right) \log \left(e^{-x} \left(-3+e^x x\right)\right)+\left(-1728 x+54 x^2+e^x \left(-576 x+18 x^2\right)+\left(54 x-18 e^x x^2\right) \log \left(e^{-x} \left(-3+e^x x\right)\right)\right) \log \left(-\frac{16 \log \left(e^{-x} \left(-3+e^x x\right)\right)}{-32+x}\right)+\left(-864+27 x+e^x \left(288 x-9 x^2\right)\right) \log \left(e^{-x} \left(-3+e^x x\right)\right) \log ^2\left(-\frac{16 \log \left(e^{-x} \left(-3+e^x x\right)\right)}{-32+x}\right)}{\left(96 x^2-3 x^3+e^x \left(-32 x^3+x^4\right)\right) \log \left(e^{-x} \left(-3+e^x x\right)\right)} \, dx","Integrate[((96*x^2 - 3*x^3 + E^x*(-32*x^3 + x^4))*Log[(-3 + E^x*x)/E^x] + (-1728*x + 54*x^2 + E^x*(-576*x + 18*x^2) + (54*x - 18*E^x*x^2)*Log[(-3 + E^x*x)/E^x])*Log[(-16*Log[(-3 + E^x*x)/E^x])/(-32 + x)] + (-864 + 27*x + E^x*(288*x - 9*x^2))*Log[(-3 + E^x*x)/E^x]*Log[(-16*Log[(-3 + E^x*x)/E^x])/(-32 + x)]^2)/((96*x^2 - 3*x^3 + E^x*(-32*x^3 + x^4))*Log[(-3 + E^x*x)/E^x]),x]","\int \frac{\left(96 x^2-3 x^3+e^x \left(-32 x^3+x^4\right)\right) \log \left(e^{-x} \left(-3+e^x x\right)\right)+\left(-1728 x+54 x^2+e^x \left(-576 x+18 x^2\right)+\left(54 x-18 e^x x^2\right) \log \left(e^{-x} \left(-3+e^x x\right)\right)\right) \log \left(-\frac{16 \log \left(e^{-x} \left(-3+e^x x\right)\right)}{-32+x}\right)+\left(-864+27 x+e^x \left(288 x-9 x^2\right)\right) \log \left(e^{-x} \left(-3+e^x x\right)\right) \log ^2\left(-\frac{16 \log \left(e^{-x} \left(-3+e^x x\right)\right)}{-32+x}\right)}{\left(96 x^2-3 x^3+e^x \left(-32 x^3+x^4\right)\right) \log \left(e^{-x} \left(-3+e^x x\right)\right)} \, dx","x+\frac{9 \log ^2\left(\frac{\log \left(x-3 e^{-x}\right)}{2-\frac{x}{16}}\right)}{x}",1,"Integrate[((96*x^2 - 3*x^3 + E^x*(-32*x^3 + x^4))*Log[(-3 + E^x*x)/E^x] + (-1728*x + 54*x^2 + E^x*(-576*x + 18*x^2) + (54*x - 18*E^x*x^2)*Log[(-3 + E^x*x)/E^x])*Log[(-16*Log[(-3 + E^x*x)/E^x])/(-32 + x)] + (-864 + 27*x + E^x*(288*x - 9*x^2))*Log[(-3 + E^x*x)/E^x]*Log[(-16*Log[(-3 + E^x*x)/E^x])/(-32 + x)]^2)/((96*x^2 - 3*x^3 + E^x*(-32*x^3 + x^4))*Log[(-3 + E^x*x)/E^x]), x]","F",-1
1799,1,9,11,0.0016814,"\int \left(4-2 e^x\right) \, dx","Integrate[4 - 2*E^x,x]","4 x-2 e^x","1-2 \left(e^x-2 x\right)",1,"-2*E^x + 4*x","A",1
1800,1,23,22,0.0080742,"\int \frac{950-60 x-180 x^2+24 x^3}{725+475 x-15 x^2-30 x^3+3 x^4} \, dx","Integrate[(950 - 60*x - 180*x^2 + 24*x^3)/(725 + 475*x - 15*x^2 - 30*x^3 + 3*x^4),x]","2 \log \left(3 x^4-30 x^3-15 x^2+475 x+725\right)","2 \log \left(3 \left(\frac{x^2}{5}-x-3\right)^2+x+2\right)",1,"2*Log[725 + 475*x - 15*x^2 - 30*x^3 + 3*x^4]","A",1
1801,1,17,15,0.0009798,"\int \frac{1}{2} (17-3 e+12 x) \, dx","Integrate[(17 - 3*E + 12*x)/2,x]","3 x^2-\frac{3 e x}{2}+\frac{17 x}{2}","\frac{3}{2} (2 x-e+5) x+x",1,"(17*x)/2 - (3*E*x)/2 + 3*x^2","A",1
1802,1,31,27,0.0416306,"\int \frac{-64+32 x+152 x^2+12 x^3+47 x^4-24 x^5+3 x^6}{\left(-64 x+48 x^3+8 x^4+15 x^5-8 x^6+x^7+\left(64+16 x^2-8 x^3+x^4\right) \log \left(\frac{1}{16} \left(320+80 x^2-40 x^3+5 x^4\right)\right)\right) \log \left(x-x^3-\log \left(\frac{1}{16} \left(320+80 x^2-40 x^3+5 x^4\right)\right)\right)} \, dx","Integrate[(-64 + 32*x + 152*x^2 + 12*x^3 + 47*x^4 - 24*x^5 + 3*x^6)/((-64*x + 48*x^3 + 8*x^4 + 15*x^5 - 8*x^6 + x^7 + (64 + 16*x^2 - 8*x^3 + x^4)*Log[(320 + 80*x^2 - 40*x^3 + 5*x^4)/16])*Log[x - x^3 - Log[(320 + 80*x^2 - 40*x^3 + 5*x^4)/16]]),x]","\log \left(\log \left(-x^3-\log \left(\frac{5}{16} \left(x^4-8 x^3+16 x^2+64\right)\right)+x\right)\right)","\log \left(\log \left(-x^3-\log \left(5 \left(\left(x-\frac{x^2}{4}\right)^2+4\right)\right)+x\right)\right)",1,"Log[Log[x - x^3 - Log[(5*(64 + 16*x^2 - 8*x^3 + x^4))/16]]]","A",1
1803,1,44,31,0.1769407,"\int \frac{\exp \left(\frac{-5+16 x^2+16 x^4+e^{\frac{8}{e^3}} \left(x^2+x^4\right)+e^{\frac{4}{e^3}} \left(8 x^2+8 x^4\right)}{1+x^2}\right) \left(-42 x-64 x^3-32 x^5+e^{\frac{4}{e^3}} \left(-16 x-32 x^3-16 x^5\right)+e^{\frac{8}{e^3}} \left(-2 x-4 x^3-2 x^5\right)\right)}{1+2 x^2+x^4} \, dx","Integrate[(E^((-5 + 16*x^2 + 16*x^4 + E^(8/E^3)*(x^2 + x^4) + E^(4/E^3)*(8*x^2 + 8*x^4))/(1 + x^2))*(-42*x - 64*x^3 - 32*x^5 + E^(4/E^3)*(-16*x - 32*x^3 - 16*x^5) + E^(8/E^3)*(-2*x - 4*x^3 - 2*x^5)))/(1 + 2*x^2 + x^4),x]","-\exp \left(\frac{\left(4+e^{\frac{4}{e^3}}\right)^2 x^4+\left(4+e^{\frac{4}{e^3}}\right)^2 x^2-5}{x^2+1}\right)","5-e^{\left(4+e^{\frac{4}{e^3}}\right)^2 x^2-\frac{5}{x^2+1}}",1,"-E^((-5 + (4 + E^(4/E^3))^2*x^2 + (4 + E^(4/E^3))^2*x^4)/(1 + x^2))","A",1
1804,1,5,11,0.0041269,"\int -\frac{1}{x \log (x)} \, dx","Integrate[-(1/(x*Log[x])),x]","-\log (\log (x))","\log \left(\frac{\log (2)}{9 \log (x)}\right)",1,"-Log[Log[x]]","A",1
1805,1,37,34,0.2292642,"\int \frac{\exp \left(\frac{-18 x+3 x^2+3 \log (3)+\left(-5 x+x^2\right) \log \left(e^{e^x x^2}-x\right)}{-5 x+x^2}\right) \left(-25 x^2+7 x^3-x^4+\left(-15 x+6 x^2\right) \log (3)+e^{e^x x^2} \left(3 x^2+e^x \left(50 x^3+5 x^4-8 x^5+x^6\right)+(15-6 x) \log (3)\right)\right)}{-25 x^3+10 x^4-x^5+e^{e^x x^2} \left(25 x^2-10 x^3+x^4\right)} \, dx","Integrate[(E^((-18*x + 3*x^2 + 3*Log[3] + (-5*x + x^2)*Log[E^(E^x*x^2) - x])/(-5*x + x^2))*(-25*x^2 + 7*x^3 - x^4 + (-15*x + 6*x^2)*Log[3] + E^(E^x*x^2)*(3*x^2 + E^x*(50*x^3 + 5*x^4 - 8*x^5 + x^6) + (15 - 6*x)*Log[3])))/(-25*x^3 + 10*x^4 - x^5 + E^(E^x*x^2)*(25*x^2 - 10*x^3 + x^4)),x]","3^{\frac{3}{(x-5) x}} e^{3-\frac{3}{x-5}} \left(e^{e^x x^2}-x\right)","\left(e^{e^x x^2}-x\right) e^{\frac{3 (\log (3)-x)}{(x-5) x}+3}",1,"3^(3/((-5 + x)*x))*E^(3 - 3/(-5 + x))*(E^(E^x*x^2) - x)","A",1
1806,1,26,26,0.186093,"\int \frac{e^{-e-2 x+x^2+2 x \log ^2\left(\frac{x-\log (x)}{\log (x)}\right)} \left(\left(2 x-2 x^2\right) \log (x)+(-2+2 x) \log ^2(x)+(4 x-4 x \log (x)) \log \left(\frac{x-\log (x)}{\log (x)}\right)+\left(-2 x \log (x)+2 \log ^2(x)\right) \log ^2\left(\frac{x-\log (x)}{\log (x)}\right)\right)}{-x \log (x)+\log ^2(x)} \, dx","Integrate[(E^(-E - 2*x + x^2 + 2*x*Log[(x - Log[x])/Log[x]]^2)*((2*x - 2*x^2)*Log[x] + (-2 + 2*x)*Log[x]^2 + (4*x - 4*x*Log[x])*Log[(x - Log[x])/Log[x]] + (-2*x*Log[x] + 2*Log[x]^2)*Log[(x - Log[x])/Log[x]]^2))/(-(x*Log[x]) + Log[x]^2),x]","e^{x^2-2 x+2 x \log ^2\left(\frac{x}{\log (x)}-1\right)-e}","e^{x^2-2 x+2 x \log ^2\left(\frac{x}{\log (x)}-1\right)-e}",1,"E^(-E - 2*x + x^2 + 2*x*Log[-1 + x/Log[x]]^2)","A",1
1807,1,20,21,0.004522,"\int \frac{-144-289 x+e (1+2 x)}{-144 x+e x} \, dx","Integrate[(-144 - 289*x + E*(1 + 2*x))/(-144*x + E*x),x]","\frac{(2 e-289) x+(e-144) \log (x)}{e-144}","2 x+\frac{x+1}{144-e}+\log \left(\frac{x}{4}\right)",1,"((-289 + 2*E)*x + (-144 + E)*Log[x])/(-144 + E)","A",1
1808,1,23,23,0.2843521,"\int \frac{e^{4+3 x} \left(1280000 x-640000 x^2\right)+e^{4+2 x} \left(-2560000+5120000 x-4480000 x^2+1280000 x^3\right)}{e^{2 x}-2 e^x x+x^2} \, dx","Integrate[(E^(4 + 3*x)*(1280000*x - 640000*x^2) + E^(4 + 2*x)*(-2560000 + 5120000*x - 4480000*x^2 + 1280000*x^3))/(E^(2*x) - 2*E^x*x + x^2),x]","-\frac{640000 e^{2 x+4} (x-2)^2}{e^x-x}","\frac{640000 e^{2 x+4} (x-2)^2}{x-e^x}",1,"(-640000*E^(4 + 2*x)*(-2 + x)^2)/(E^x - x)","A",1
1809,1,25,30,0.3732701,"\int \frac{e^{-e^{-5+e^5-x}} \left(20 x-4 x^2-x^3\right) \left(-20+8 x+3 x^2+e^{-5+e^5-x} \left(-20 x+4 x^2+x^3\right)\right)}{-20 x+4 x^2+x^3} \, dx","Integrate[((20*x - 4*x^2 - x^3)*(-20 + 8*x + 3*x^2 + E^(-5 + E^5 - x)*(-20*x + 4*x^2 + x^3)))/(E^E^(-5 + E^5 - x)*(-20*x + 4*x^2 + x^3)),x]","-e^{-e^{-x+e^5-5}} x \left(x^2+4 x-20\right)","e^{-e^{-x+e^5-5}} x \left(-x^2+4 (4-x)+4\right)",1,"-((x*(-20 + 4*x + x^2))/E^E^(-5 + E^5 - x))","A",1
1810,1,16,19,0.0201891,"\int \frac{e^{-4 x} \left(2048-3072 x+1536 x^2-256 x^3+e^{4 x} \left(-6+12 x-6 x^2+x^3\right)\right)}{-8+12 x-6 x^2+x^3} \, dx","Integrate[(2048 - 3072*x + 1536*x^2 - 256*x^3 + E^(4*x)*(-6 + 12*x - 6*x^2 + x^3))/(E^(4*x)*(-8 + 12*x - 6*x^2 + x^3)),x]","x+64 e^{-4 x}-\frac{1}{(x-2)^2}","x+64 e^{-4 x}-\frac{1}{(2-x)^2}+4",1,"64/E^(4*x) - (-2 + x)^(-2) + x","A",1
1811,1,58,16,0.0082663,"\int \frac{1}{9} \left(88+188 x+144 x^2+36 x^3+\left(22+108 x+54 x^2\right) \log \left(x^2\right)+18 x \log ^2\left(x^2\right)\right) \, dx","Integrate[(88 + 188*x + 144*x^2 + 36*x^3 + (22 + 108*x + 54*x^2)*Log[x^2] + 18*x*Log[x^2]^2)/9,x]","x^4+4 x^3+\frac{58 x^2}{9}+x^2 \log ^2\left(x^2\right)+4 x^2 \log \left(x^2\right)+\frac{22}{9} x \log \left(x^2\right)+2 x^3 \log \left(x^2\right)+\frac{44 x}{9}","\left(-x \left(\log \left(x^2\right)+x+2\right)-\frac{11}{9}\right)^2",1,"(44*x)/9 + (58*x^2)/9 + 4*x^3 + x^4 + (22*x*Log[x^2])/9 + 4*x^2*Log[x^2] + 2*x^3*Log[x^2] + x^2*Log[x^2]^2","B",1
1812,1,25,33,0.3115373,"\int \frac{-x+2 x^2-8 e^{2 x} x^2-8 x^3+\left(2 x-8 e^{2 x} x-8 x^2\right) \log (x)+\left(-2 e^{2 x}-2 x\right) \log ^2(x)}{4 x^2+4 x \log (x)+\log ^2(x)} \, dx","Integrate[(-x + 2*x^2 - 8*E^(2*x)*x^2 - 8*x^3 + (2*x - 8*E^(2*x)*x - 8*x^2)*Log[x] + (-2*E^(2*x) - 2*x)*Log[x]^2)/(4*x^2 + 4*x*Log[x] + Log[x]^2),x]","-x^2+\frac{x^2}{2 x+\log (x)}-e^{2 x}","(1-x) x-x-e^{2 x}+\frac{x}{\frac{\log (x)}{x}+2}+\frac{11}{3}",1,"-E^(2*x) - x^2 + x^2/(2*x + Log[x])","A",1
1813,1,36,27,0.362829,"\int \frac{68 x+32 x^2+4 x^3+e^{2 x} \left(-4-71 x-20 x^2\right)+e^{2 x} \left(-7 x-2 x^2\right) \log (-2 x)}{64 x+32 x^2+4 x^3} \, dx","Integrate[(68*x + 32*x^2 + 4*x^3 + E^(2*x)*(-4 - 71*x - 20*x^2) + E^(2*x)*(-7*x - 2*x^2)*Log[-2*x])/(64*x + 32*x^2 + 4*x^3),x]","-\frac{-4 x^2-16 x+10 e^{2 x}+e^{2 x} \log (-2 x)+4}{4 (x+4)}","x-\frac{e^{2 x} (\log (-2 x)+10)-x}{4 x+16}",1,"-1/4*(4 + 10*E^(2*x) - 16*x - 4*x^2 + E^(2*x)*Log[-2*x])/(4 + x)","A",1
1814,1,26,29,0.3620987,"\int \frac{-1216-64 x+(-1600-768 x) \log (x)+320 x^2 \log ^2(x)}{\left(-30+6 x+\left(25 x-11 x^2\right) \log (x)+5 x^3 \log ^2(x)\right) \log ^5\left(\frac{24-20 x \log (x)}{5-x+x^2 \log (x)}\right)} \, dx","Integrate[(-1216 - 64*x + (-1600 - 768*x)*Log[x] + 320*x^2*Log[x]^2)/((-30 + 6*x + (25*x - 11*x^2)*Log[x] + 5*x^3*Log[x]^2)*Log[(24 - 20*x*Log[x])/(5 - x + x^2*Log[x])]^5),x]","\frac{16}{\log ^4\left(\frac{24-20 x \log (x)}{x^2 \log (x)-x+5}\right)}","\frac{16}{\log ^4\left(\frac{4}{5-\frac{x+25}{\frac{1}{1-x \log (x)}+5}}\right)}",1,"16/Log[(24 - 20*x*Log[x])/(5 - x + x^2*Log[x])]^4","A",1
1815,1,23,23,0.1734601,"\int \frac{1}{2} \left(6+e^{\frac{1}{2} \left(-4+2 e^{x^2}+2 x+3 x^3\right)} \left(-2-4 e^{x^2} x-9 x^2\right)\right) \, dx","Integrate[(6 + E^((-4 + 2*E^x^2 + 2*x + 3*x^3)/2)*(-2 - 4*E^x^2*x - 9*x^2))/2,x]","3 x-e^{\frac{3 x^3}{2}+e^{x^2}+x-2}","3 x-e^{\frac{3 x^3}{2}+e^{x^2}+x-2}",1,"-E^(-2 + E^x^2 + x + (3*x^3)/2) + 3*x","A",1
1816,1,19,26,0.2547909,"\int \frac{-100+250 x+e^{x^4} \left(50 x+100 x^5\right)}{16 x^2-40 x^3+25 x^4+e^{2 x^4} x^4+e^{x^4} \left(-8 x^3+10 x^4\right)} \, dx","Integrate[(-100 + 250*x + E^x^4*(50*x + 100*x^5))/(16*x^2 - 40*x^3 + 25*x^4 + E^(2*x^4)*x^4 + E^x^4*(-8*x^3 + 10*x^4)),x]","-\frac{25}{x \left(e^{x^4} x+5 x-4\right)}","\frac{5}{x \left(\frac{1}{5} \left(-e^{x^4} x-1\right)-x+1\right)}",1,"-25/(x*(-4 + 5*x + E^x^4*x))","A",1
1817,1,34,26,0.0589159,"\int \frac{-400 x^2-800 x^3+e^{x/400} \left(-1600+4 x-401 x^2-x^3\right)}{1200 x^2} \, dx","Integrate[(-400*x^2 - 800*x^3 + E^(x/400)*(-1600 + 4*x - 401*x^2 - x^3))/(1200*x^2),x]","-\frac{x^2}{3}-\frac{x}{3}-\frac{e^{x/400} \left(400 x-\frac{1600}{x}+400\right)}{1200}","\frac{\left(x+e^{x/400}\right) \left(-x^2-x+4\right)}{3 x}",1,"-1/3*x - x^2/3 - (E^(x/400)*(400 - 1600/x + 400*x))/1200","A",1
1818,1,22,32,0.11756,"\int \frac{e^{e^{81+108 x+54 x^2+12 x^3+x^4} x} \left(8+5 x-2 x^2\right) \left(-5+4 x+e^{81+108 x+54 x^2+12 x^3+x^4} \left(-8-869 x-1402 x^2-612 x^3+4 x^4+52 x^5+8 x^6\right)\right)}{-8-5 x+2 x^2} \, dx","Integrate[(E^(E^(81 + 108*x + 54*x^2 + 12*x^3 + x^4)*x)*(8 + 5*x - 2*x^2)*(-5 + 4*x + E^(81 + 108*x + 54*x^2 + 12*x^3 + x^4)*(-8 - 869*x - 1402*x^2 - 612*x^3 + 4*x^4 + 52*x^5 + 8*x^6)))/(-8 - 5*x + 2*x^2),x]","e^{e^{(x+3)^4} x} \left(-2 x^2+5 x+8\right)","e^{e^{(x+3)^4} x} ((4-x) (2 x+2)-x)-\log (5)",1,"E^(E^(3 + x)^4*x)*(8 + 5*x - 2*x^2)","A",1
1819,1,25,29,0.3194285,"\int \frac{-4 x+x^3+e^x \left(4-x^2\right)+\left(-4+x^2\right) \log \left(\frac{1}{x}\right)+\left(2 x-2 x^2+2 e^x x^2\right) \log \left(e^x-x-\log \left(\frac{1}{x}\right)\right)}{-e^x x^2+x^3+x^2 \log \left(\frac{1}{x}\right)} \, dx","Integrate[(-4*x + x^3 + E^x*(4 - x^2) + (-4 + x^2)*Log[x^(-1)] + (2*x - 2*x^2 + 2*E^x*x^2)*Log[E^x - x - Log[x^(-1)]])/(-(E^x*x^2) + x^3 + x^2*Log[x^(-1)]),x]","x+\frac{4}{x}-\log ^2\left(-x+e^x-\log \left(\frac{1}{x}\right)\right)","x-\frac{x-4}{x}-\log ^2\left(-x+e^x-\log \left(\frac{1}{x}\right)\right)-2",1,"4/x + x - Log[E^x - x - Log[x^(-1)]]^2","A",1
1820,1,14,18,0.102852,"\int \frac{\log (x) \log ^2(\log (x))+e^{\frac{2 x^2}{\log (\log (x))}} (-2 x+4 x \log (x) \log (\log (x)))}{\log (x) \log ^2(\log (x))} \, dx","Integrate[(Log[x]*Log[Log[x]]^2 + E^((2*x^2)/Log[Log[x]])*(-2*x + 4*x*Log[x]*Log[Log[x]]))/(Log[x]*Log[Log[x]]^2),x]","e^{\frac{2 x^2}{\log (\log (x))}}+x","e^{\frac{2 x^2}{\log (\log (x))}}+x+e^5-41",1,"E^((2*x^2)/Log[Log[x]]) + x","A",1
1821,1,23,20,0.2265022,"\int \frac{-12-300 e^{5-x^2}-24 x^2}{-12 x+25 e^{5-x^2} (-12 x+\log (5))} \, dx","Integrate[(-12 - 300*E^(5 - x^2) - 24*x^2)/(-12*x + 25*E^(5 - x^2)*(-12*x + Log[5])),x]","\log \left(12 e^{x^2} x+300 e^5 x-25 e^5 \log (5)\right)","\log \left(\log (5)-4 \left(\frac{3 e^{x^2-5}}{25}+3\right) x\right)",1,"Log[300*E^5*x + 12*E^x^2*x - 25*E^5*Log[5]]","A",1
1822,1,40,28,1.1169276,"\int \frac{-x+2 x^2-x^3+e^x \left(-4+5 x-x^2\right)+e^x \left(7 x-5 x^2+x^3\right) \log \left(\frac{3}{x}\right)}{-x^2+2 x^3-x^4+e^x \left(4 x-5 x^2+x^3\right) \log \left(\frac{3}{x}\right)} \, dx","Integrate[(-x + 2*x^2 - x^3 + E^x*(-4 + 5*x - x^2) + E^x*(7*x - 5*x^2 + x^3)*Log[3/x])/(-x^2 + 2*x^3 - x^4 + E^x*(4*x - 5*x^2 + x^3)*Log[3/x]),x]","\log \left(x^2-x-e^x x \log \left(\frac{3}{x}\right)+4 e^x \log \left(\frac{3}{x}\right)\right)-\log (1-x)","\log \left(\frac{e^x (4-x) x \log \left(\frac{3}{x}\right)}{x^2-x}+x\right)",1,"-Log[1 - x] + Log[-x + x^2 + 4*E^x*Log[3/x] - E^x*x*Log[3/x]]","A",1
1823,1,21,21,0.260911,"\int \frac{-875 x+25 e^x x^3+125 x \log (x)}{-54000-5400 e^x x-180 e^{2 x} x^2-2 e^{3 x} x^3+\left(27000+1800 e^x x+30 e^{2 x} x^2\right) \log (x)+\left(-4500-150 e^x x\right) \log ^2(x)+250 \log ^3(x)} \, dx","Integrate[(-875*x + 25*E^x*x^3 + 125*x*Log[x])/(-54000 - 5400*E^x*x - 180*E^(2*x)*x^2 - 2*E^(3*x)*x^3 + (27000 + 1800*E^x*x + 30*E^(2*x)*x^2)*Log[x] + (-4500 - 150*E^x*x)*Log[x]^2 + 250*Log[x]^3),x]","\frac{25 x^2}{4 \left(-e^x x+5 \log (x)-30\right)^2}","\frac{x^2}{4 \left(-\frac{e^x x}{5}+\log (x)-6\right)^2}",1,"(25*x^2)/(4*(-30 - E^x*x + 5*Log[x])^2)","A",1
1824,1,30,30,0.7237344,"\int \frac{e^{16} \left(-36-12 x^2+6 x^3\right)+e^{16} \left(54+18 x^2\right) \log (x)+\left(e^{16} \left(-27+3 x^2-9 x^3\right)-18 e^{16} x^2 \log (x)\right) \log \left(x^2\right)}{36 x+24 x^3-12 x^4+4 x^5-4 x^6+x^7+\left(-108 x-72 x^3+18 x^4-12 x^5+6 x^6\right) \log (x)+\left(81 x+54 x^3+9 x^5\right) \log ^2(x)} \, dx","Integrate[(E^16*(-36 - 12*x^2 + 6*x^3) + E^16*(54 + 18*x^2)*Log[x] + (E^16*(-27 + 3*x^2 - 9*x^3) - 18*E^16*x^2*Log[x])*Log[x^2])/(36*x + 24*x^3 - 12*x^4 + 4*x^5 - 4*x^6 + x^7 + (-108*x - 72*x^3 + 18*x^4 - 12*x^5 + 6*x^6)*Log[x] + (81*x + 54*x^3 + 9*x^5)*Log[x]^2),x]","\frac{3 e^{16} \log \left(x^2\right)}{x^3-2 x^2+3 \left(x^2+3\right) \log (x)-6}","\frac{e^{16} \log \left(x^2\right)}{\left(x^2+3\right) \left(\frac{x-2}{3}+\log (x)\right)-x}",1,"(3*E^16*Log[x^2])/(-6 - 2*x^2 + x^3 + 3*(3 + x^2)*Log[x])","A",1
1825,1,49,28,0.1479012,"\int \frac{8 x-6 x^2-2 x^3+\sqrt[5]{e} \left(2 x-2 x^2\right)+\left(15+3 x-50 x^2-20 x^3-2 x^4+\sqrt[5]{e} \left(-10 x^2-2 x^3\right)+\left(-3+10 x^2+2 \sqrt[5]{e} x^2+2 x^3\right) \log (x)\right) \log (-5-x+\log (x))+\left(2 x-2 x^2+\left(-10 x^2-2 x^3+2 x^2 \log (x)\right) \log (-5-x+\log (x))\right) \log (\log (-5-x+\log (x)))}{\left(-5 x^2-x^3+x^2 \log (x)\right) \log (-5-x+\log (x))} \, dx","Integrate[(8*x - 6*x^2 - 2*x^3 + E^(1/5)*(2*x - 2*x^2) + (15 + 3*x - 50*x^2 - 20*x^3 - 2*x^4 + E^(1/5)*(-10*x^2 - 2*x^3) + (-3 + 10*x^2 + 2*E^(1/5)*x^2 + 2*x^3)*Log[x])*Log[-5 - x + Log[x]] + (2*x - 2*x^2 + (-10*x^2 - 2*x^3 + 2*x^2*Log[x])*Log[-5 - x + Log[x]])*Log[Log[-5 - x + Log[x]]])/((-5*x^2 - x^3 + x^2*Log[x])*Log[-5 - x + Log[x]]),x]","x^2+2 \left(5+\sqrt[5]{e}\right) x+\frac{3}{x}+\log ^2(\log (-x+\log (x)-5))+2 \left(x+\sqrt[5]{e}+4\right) \log (\log (-x+\log (x)-5))","2 x+\frac{3}{x}+\left(x+\log (\log (-x+\log (x)-5))+\sqrt[5]{e}+4\right)^2",1,"3/x + 2*(5 + E^(1/5))*x + x^2 + 2*(4 + E^(1/5) + x)*Log[Log[-5 - x + Log[x]]] + Log[Log[-5 - x + Log[x]]]^2","A",1
1826,1,50,39,0.0826246,"\int \frac{36+372 x-1075 x^2+1250 x^3-777 x^4+262 x^5-42 x^6+2 x^7+e^x \left(-32 x^2+32 x^3-8 x^5+2 x^6\right)+\left(-2-5 x+11 x^2-6 x^3+x^4\right) \log (x)-x \log ^2(x)}{-16 x+24 x^2-12 x^3+2 x^4} \, dx","Integrate[(36 + 372*x - 1075*x^2 + 1250*x^3 - 777*x^4 + 262*x^5 - 42*x^6 + 2*x^7 + E^x*(-32*x^2 + 32*x^3 - 8*x^5 + 2*x^6) + (-2 - 5*x + 11*x^2 - 6*x^3 + x^4)*Log[x] - x*Log[x]^2)/(-16*x + 24*x^2 - 12*x^3 + 2*x^4),x]","\frac{1}{4} \left(x \left(x^3-20 x^2+\left(4 e^x+58\right) x-108\right)+\frac{\log ^2(x)}{(x-2)^2}+\frac{2 (x-3)^2 \log (x)}{x-2}\right)","\left(-2 x+e^x+1\right) x^2+\frac{1}{4} \left(\frac{\log (x)}{2-x}-(3-x)^2\right)^2",1,"(x*(-108 + (58 + 4*E^x)*x - 20*x^2 + x^3) + (2*(-3 + x)^2*Log[x])/(-2 + x) + Log[x]^2/(-2 + x)^2)/4","A",1
1827,1,42,28,0.1260492,"\int \frac{1}{9} \exp \left(\frac{1}{3} \left(-12+15 x^2-80 e^{2 x/3} x^2-160 e^{x/3} x^3-80 x^4\right)\right) \left(9+90 x^2-960 x^4+e^{2 x/3} \left(-480 x^2-160 x^3\right)+e^{x/3} \left(-1440 x^3-160 x^4\right)\right) \, dx","Integrate[(E^((-12 + 15*x^2 - 80*E^((2*x)/3)*x^2 - 160*E^(x/3)*x^3 - 80*x^4)/3)*(9 + 90*x^2 - 960*x^4 + E^((2*x)/3)*(-480*x^2 - 160*x^3) + E^(x/3)*(-1440*x^3 - 160*x^4)))/9,x]","x \exp \left(\frac{1}{3} \left(-80 x^4-160 e^{x/3} x^3+\left(15-80 e^{2 x/3}\right) x^2-12\right)\right)","e^{\frac{5}{3} x^2 \left(3-16 \left(x+e^{x/3}\right)^2\right)-4} x",1,"E^((-12 + (15 - 80*E^((2*x)/3))*x^2 - 160*E^(x/3)*x^3 - 80*x^4)/3)*x","A",1
1828,1,27,27,0.0080989,"\int \frac{1}{4} \left(-20-2 e^x-20 e^{5+x}+x\right) \, dx","Integrate[(-20 - 2*E^x - 20*E^(5 + x) + x)/4,x]","\frac{1}{4} \left(\frac{x^2}{2}-20 x-2 e^x-20 e^{x+5}\right)","\frac{1}{2} \left(\frac{x^2}{4}-e^x-10 \left(x+e^{x+5}\right)+3\right)",1,"(-2*E^x - 20*E^(5 + x) - 20*x + x^2/2)/4","A",1
1829,1,23,27,1.3922449,"\int \frac{e \left(-75-27 x^2-4 x^3\right)+e^{e^x} \left(e \left(-3-x^2\right)+e^{1+x} \left(3 x-x^2-x^3\right)\right)}{5625-2850 x-3689 x^2+726 x^3+805 x^4+108 x^5+4 x^6+e^{2 e^x} \left(9-6 x-5 x^2+2 x^3+x^4\right)+e^{e^x} \left(450-264 x-274 x^2+80 x^3+58 x^4+4 x^5\right)} \, dx","Integrate[(E*(-75 - 27*x^2 - 4*x^3) + E^E^x*(E*(-3 - x^2) + E^(1 + x)*(3*x - x^2 - x^3)))/(5625 - 2850*x - 3689*x^2 + 726*x^3 + 805*x^4 + 108*x^5 + 4*x^6 + E^(2*E^x)*(9 - 6*x - 5*x^2 + 2*x^3 + x^4) + E^E^x*(450 - 264*x - 274*x^2 + 80*x^3 + 58*x^4 + 4*x^5)),x]","\frac{e x}{\left(2 x+e^{e^x}+25\right) \left(x^2+x-3\right)}","\frac{e}{\left(2 x+e^{e^x}+25\right) \left(\frac{x^2-3}{x}+1\right)}",1,"(E*x)/((25 + E^E^x + 2*x)*(-3 + x + x^2))","A",1
1830,1,37,30,0.052032,"\int \frac{e^3 x^2-5 e^8 x^3+e^5 \left(-e^6+10 e^{11} x-25 e^{16} x^2\right)+\left(-e^3 x^2+e^5 \left(-e^6+10 e^{11} x-25 e^{16} x^2\right)\right) \log (x)}{\left(-e^3 x^3+5 e^8 x^4+e^5 \left(e^6 x-10 e^{11} x^2+25 e^{16} x^3\right)\right) \log (x)} \, dx","Integrate[(E^3*x^2 - 5*E^8*x^3 + E^5*(-E^6 + 10*E^11*x - 25*E^16*x^2) + (-(E^3*x^2) + E^5*(-E^6 + 10*E^11*x - 25*E^16*x^2))*Log[x])/((-(E^3*x^3) + 5*E^8*x^4 + E^5*(E^6*x - 10*E^11*x^2 + 25*E^16*x^3))*Log[x]),x]","\log \left(x^2+5 e^{13} x-e^8\right)-\log (x)-\log \left(1-5 e^5 x\right)-\log (\log (x))","\log \left(\frac{\frac{x}{5 e^8 x-e^3}+\frac{e^5}{x}}{\log (x)}\right)",1,"-Log[x] - Log[1 - 5*E^5*x] + Log[-E^8 + 5*E^13*x + x^2] - Log[Log[x]]","A",1
1831,1,61,28,0.2145326,"\int \frac{-x+18 e^{2 x} x+e^x \left(-54 x-18 e^4 x+18 x \log (5)\right)+\left(-80-54 e^4-9 e^8-9 e^{2 x}+x+e^x \left(54+18 e^4-18 \log (5)\right)+\left(54+18 e^4\right) \log (5)-9 \log ^2(5)\right) \log \left(-80-54 e^4-9 e^8-9 e^{2 x}+x+e^x \left(54+18 e^4-18 \log (5)\right)+\left(54+18 e^4\right) \log (5)-9 \log ^2(5)\right)}{80 x^2+54 e^4 x^2+9 e^8 x^2+9 e^{2 x} x^2-x^3+\left(-54 x^2-18 e^4 x^2\right) \log (5)+9 x^2 \log ^2(5)+e^x \left(-54 x^2-18 e^4 x^2+18 x^2 \log (5)\right)+\left(4000 x+2700 e^4 x+450 e^8 x+450 e^{2 x} x-50 x^2+\left(-2700 x-900 e^4 x\right) \log (5)+450 x \log ^2(5)+e^x \left(-2700 x-900 e^4 x+900 x \log (5)\right)\right) \log \left(-80-54 e^4-9 e^8-9 e^{2 x}+x+e^x \left(54+18 e^4-18 \log (5)\right)+\left(54+18 e^4\right) \log (5)-9 \log ^2(5)\right)+\left(50000+33750 e^4+5625 e^8+5625 e^{2 x}-625 x+\left(-33750-11250 e^4\right) \log (5)+5625 \log ^2(5)+e^x \left(-33750-11250 e^4+11250 \log (5)\right)\right) \log ^2\left(-80-54 e^4-9 e^8-9 e^{2 x}+x+e^x \left(54+18 e^4-18 \log (5)\right)+\left(54+18 e^4\right) \log (5)-9 \log ^2(5)\right)} \, dx","Integrate[(-x + 18*E^(2*x)*x + E^x*(-54*x - 18*E^4*x + 18*x*Log[5]) + (-80 - 54*E^4 - 9*E^8 - 9*E^(2*x) + x + E^x*(54 + 18*E^4 - 18*Log[5]) + (54 + 18*E^4)*Log[5] - 9*Log[5]^2)*Log[-80 - 54*E^4 - 9*E^8 - 9*E^(2*x) + x + E^x*(54 + 18*E^4 - 18*Log[5]) + (54 + 18*E^4)*Log[5] - 9*Log[5]^2])/(80*x^2 + 54*E^4*x^2 + 9*E^8*x^2 + 9*E^(2*x)*x^2 - x^3 + (-54*x^2 - 18*E^4*x^2)*Log[5] + 9*x^2*Log[5]^2 + E^x*(-54*x^2 - 18*E^4*x^2 + 18*x^2*Log[5]) + (4000*x + 2700*E^4*x + 450*E^8*x + 450*E^(2*x)*x - 50*x^2 + (-2700*x - 900*E^4*x)*Log[5] + 450*x*Log[5]^2 + E^x*(-2700*x - 900*E^4*x + 900*x*Log[5]))*Log[-80 - 54*E^4 - 9*E^8 - 9*E^(2*x) + x + E^x*(54 + 18*E^4 - 18*Log[5]) + (54 + 18*E^4)*Log[5] - 9*Log[5]^2] + (50000 + 33750*E^4 + 5625*E^8 + 5625*E^(2*x) - 625*x + (-33750 - 11250*E^4)*Log[5] + 5625*Log[5]^2 + E^x*(-33750 - 11250*E^4 + 11250*Log[5]))*Log[-80 - 54*E^4 - 9*E^8 - 9*E^(2*x) + x + E^x*(54 + 18*E^4 - 18*Log[5]) + (54 + 18*E^4)*Log[5] - 9*Log[5]^2]^2),x]","-\frac{x}{25 \left(x+25 \log \left(x-9 e^{2 x}+18 e^x \left(3+e^4-\log (5)\right)-9 e^8-54 e^4-80-9 \log ^2(5)+18 \left(3+e^4\right) \log (5)\right)\right)}","\frac{1}{\frac{x}{\log \left(x-9 \left(e^x-3-e^4+\log (5)\right)^2+1\right)}+25}",1,"-1/25*x/(x + 25*Log[-80 - 54*E^4 - 9*E^8 - 9*E^(2*x) + x + 18*E^x*(3 + E^4 - Log[5]) + 18*(3 + E^4)*Log[5] - 9*Log[5]^2])","B",1
1832,1,23,28,0.4240394,"\int \frac{e^{\frac{4}{2+x}} \left(120+48 x-18 x^2-32 x^3-6 x^4\right)}{576+864 x+468 x^2+12 x^3-111 x^4-48 x^5-2 x^6+4 x^7+x^8} \, dx","Integrate[(E^(4/(2 + x))*(120 + 48*x - 18*x^2 - 32*x^3 - 6*x^4))/(576 + 864*x + 468*x^2 + 12*x^3 - 111*x^4 - 48*x^5 - 2*x^6 + 4*x^7 + x^8),x]","-\frac{2 e^{\frac{4}{x+2}}}{-x^3+3 x+12}","\frac{2 e^{\frac{4}{x+2}}}{x \left(x^2-\frac{3 (x+4)}{x}\right)}",1,"(-2*E^(4/(2 + x)))/(12 + 3*x - x^3)","A",1
1833,1,29,28,0.1610757,"\int \frac{2 x-3 x^2+x^3-x^4+5 e^{-e^x-x} \left(1-x-e^x x+x^2\right)+\left(-5 e^{-e^x-x}-x+x^2\right) \log \left(-5 e^{-e^x-x} x-x^2+x^3\right)}{5 e^{-e^x-x} x^2+x^3-x^4} \, dx","Integrate[(2*x - 3*x^2 + x^3 - x^4 + 5*E^(-E^x - x)*(1 - x - E^x*x + x^2) + (-5*E^(-E^x - x) - x + x^2)*Log[-5*E^(-E^x - x)*x - x^2 + x^3])/(5*E^(-E^x - x)*x^2 + x^3 - x^4),x]","x+\frac{\log \left(x \left((x-1) x-5 e^{-x-e^x}\right)\right)}{x}+1","x+\frac{\log \left(x \left((x-1) x-5 e^{-x-e^x}\right)\right)}{x}",1,"1 + x + Log[x*(-5*E^(-E^x - x) + (-1 + x)*x)]/x","A",1
1834,1,20,22,0.014187,"\int \frac{e^{-5-\frac{x^2}{e^5}} \left(e^5-2 x^2+2 x^3\right)}{4-8 x+4 x^2} \, dx","Integrate[(E^(-5 - x^2/E^5)*(E^5 - 2*x^2 + 2*x^3))/(4 - 8*x + 4*x^2),x]","-\frac{e^{-\frac{x^2}{e^5}} x}{4 (x-1)}","\frac{e^{-\frac{x^2}{e^5}} x}{4 (1-x)}",1,"-1/4*x/(E^(x^2/E^5)*(-1 + x))","A",1
1835,1,27,29,0.076057,"\int \frac{e^{-e^{2/x}+e^{-e^{2/x}} \left(4-2 e^{2 x}\right)} \left(480 e^{2/x}-60 e^{e^{2/x}} x+e^{2 x} \left(-240 e^{2/x}-240 x^2\right)\right)}{x^3} \, dx","Integrate[(E^(-E^(2/x) + (4 - 2*E^(2*x))/E^E^(2/x))*(480*E^(2/x) - 60*E^E^(2/x)*x + E^(2*x)*(-240*E^(2/x) - 240*x^2)))/x^3,x]","\frac{60 e^{-2 e^{-e^{2/x}} \left(e^{2 x}-2\right)}}{x}","\frac{60 e^{2 e^{-e^{2/x}} \left(2-e^{2 x}\right)}}{x}",1,"60/(E^((2*(-2 + E^(2*x)))/E^E^(2/x))*x)","A",1
1836,1,26,26,0.07656,"\int \frac{\left(-32 x^2+64 x^4\right) \log (2 x)-12 e^{3 \log ^2\left(\log ^2(2 x)\right)} \log \left(\log ^2(2 x)\right)}{x \log (2 x)} \, dx","Integrate[((-32*x^2 + 64*x^4)*Log[2*x] - 12*E^(3*Log[Log[2*x]^2]^2)*Log[Log[2*x]^2])/(x*Log[2*x]),x]","16 x^4-16 x^2-e^{3 \log ^2\left(\log ^2(2 x)\right)}","\left(4 x^2-2\right)^2-e^{3 \log ^2\left(\log ^2(2 x)\right)}-2",1,"-E^(3*Log[Log[2*x]^2]^2) - 16*x^2 + 16*x^4","A",1
1837,1,17,18,0.1724747,"\int \frac{x^2 \log ^2(x)+e^{\frac{12}{\log (x)}} \left(-12+(-1+x) \log ^2(x)\right)}{e^{\frac{12}{\log (x)}} x \log ^2(x)+x^2 \log ^2(x)} \, dx","Integrate[(x^2*Log[x]^2 + E^(12/Log[x])*(-12 + (-1 + x)*Log[x]^2))/(E^(12/Log[x])*x*Log[x]^2 + x^2*Log[x]^2),x]","x-\log (x)+\log \left(x+e^{\frac{12}{\log (x)}}\right)","x+\log \left(\frac{e^{\frac{12}{\log (x)}}}{x}+1\right)+1",1,"x - Log[x] + Log[E^(12/Log[x]) + x]","A",1
1838,1,33,24,0.0062312,"\int \left(-3+16 x-4 e x+e^5 (-1+8 x-2 e x)\right) \, dx","Integrate[-3 + 16*x - 4*E*x + E^5*(-1 + 8*x - 2*E*x),x]","(4-e) e^5 x^2-2 e x^2+8 x^2-e^5 x-3 x","\left(2+e^5\right) \left((4-e) x^2-x-5\right)-x",1,"-3*x - E^5*x + 8*x^2 - 2*E*x^2 + (4 - E)*E^5*x^2","A",1
1839,1,32,32,0.2240489,"\int \frac{e^{e^{-2+x}} \left(e^8 \left(25-10 x+x^2\right)+e^4 \left(5 x^2-x^3\right)\right)+e^{e^{-2+x}} \left(e^8 \left(-25+10 x-x^2\right)+e^4 \left(-15 x^2+2 x^3\right)+e^{-2+x} \left(e^8 \left(25 x-10 x^2+x^3\right)+e^4 \left(5 x^3-x^4\right)\right)\right) \log (x) \log (\log (x))}{\left(x^6+e^8 \left(25 x^2-10 x^3+x^4\right)+e^4 \left(10 x^4-2 x^5\right)\right) \log (x)} \, dx","Integrate[(E^E^(-2 + x)*(E^8*(25 - 10*x + x^2) + E^4*(5*x^2 - x^3)) + E^E^(-2 + x)*(E^8*(-25 + 10*x - x^2) + E^4*(-15*x^2 + 2*x^3) + E^(-2 + x)*(E^8*(25*x - 10*x^2 + x^3) + E^4*(5*x^3 - x^4)))*Log[x]*Log[Log[x]])/((x^6 + E^8*(25*x^2 - 10*x^3 + x^4) + E^4*(10*x^4 - 2*x^5))*Log[x]),x]","\frac{e^{e^{x-2}+4} (x-5) \log (\log (x))}{e^4 (x-5) x-x^3}","\frac{e^{e^{x-2}} \log (\log (x))}{x \left(\frac{x^2}{e^4 (5-x)}+1\right)}",1,"(E^(4 + E^(-2 + x))*(-5 + x)*Log[Log[x]])/(E^4*(-5 + x)*x - x^3)","A",1
1840,1,24,28,0.2145099,"\int \frac{-2 \log (5)+\left(-1-2 x^2\right) \log (5) \log \left(x^2\right)+\left(1-2 x^2\right) \log (5) \log \left(x^2\right) \log \left(x^2 \log \left(x^2\right)\right)}{e^{x^2} \log \left(x^2\right)+2 e^{x^2} \log \left(x^2\right) \log \left(x^2 \log \left(x^2\right)\right)+e^{x^2} \log \left(x^2\right) \log ^2\left(x^2 \log \left(x^2\right)\right)} \, dx","Integrate[(-2*Log[5] + (-1 - 2*x^2)*Log[5]*Log[x^2] + (1 - 2*x^2)*Log[5]*Log[x^2]*Log[x^2*Log[x^2]])/(E^x^2*Log[x^2] + 2*E^x^2*Log[x^2]*Log[x^2*Log[x^2]] + E^x^2*Log[x^2]*Log[x^2*Log[x^2]]^2),x]","\frac{e^{-x^2} x \log (5)}{\log \left(x^2 \log \left(x^2\right)\right)+1}","\frac{e^{-x^2} x^2 \log (5)}{x \log \left(x^2 \log \left(x^2\right)\right)+x}",1,"(x*Log[5])/(E^x^2*(1 + Log[x^2*Log[x^2]]))","A",1
1841,1,22,26,0.098383,"\int \frac{1}{25} \left(200 x-375 x^2+100 x^3+e^{\frac{e^5 x}{25}} \left(200 x-300 x^2+e^5 \left(4 x^2-4 x^3\right)\right)\right) \, dx","Integrate[(200*x - 375*x^2 + 100*x^3 + E^((E^5*x)/25)*(200*x - 300*x^2 + E^5*(4*x^2 - 4*x^3)))/25,x]","(x-1) x^2 \left(x-4 e^{\frac{e^5 x}{25}}-4\right)","x \left(-4 \left(e^{\frac{e^5 x}{25}}+2\right)+x+4\right) \left(x^2-x\right)",1,"(-1 + x)*x^2*(-4 - 4*E^((E^5*x)/25) + x)","A",1
1842,1,19,19,0.0287637,"\int \frac{2+2 \log (x)+2 \log ^2(x)}{256 x \log (x)+224 x \log ^2(x)-31 x \log ^3(x)+x \log ^4(x)+\left(32 x \log (x)+30 x \log ^2(x)-2 x \log ^3(x)\right) \log \left(\frac{3+3 \log (x)}{\log (x)}\right)+\left(x \log (x)+x \log ^2(x)\right) \log ^2\left(\frac{3+3 \log (x)}{\log (x)}\right)} \, dx","Integrate[(2 + 2*Log[x] + 2*Log[x]^2)/(256*x*Log[x] + 224*x*Log[x]^2 - 31*x*Log[x]^3 + x*Log[x]^4 + (32*x*Log[x] + 30*x*Log[x]^2 - 2*x*Log[x]^3)*Log[(3 + 3*Log[x])/Log[x]] + (x*Log[x] + x*Log[x]^2)*Log[(3 + 3*Log[x])/Log[x]]^2),x]","\frac{2}{-\log (x)+\log \left(\frac{3}{\log (x)}+3\right)+16}","\frac{2}{-\log (x)+\log \left(\frac{3}{\log (x)}+3\right)+16}",1,"2/(16 - Log[x] + Log[3 + 3/Log[x]])","A",1
1843,1,29,27,0.0355416,"\int \frac{-x^2-4 x^3+16 x^4+e^x \left(4 x^3+4 x^4\right)-2 \log ^2(4)-4 x^3 \log (x)}{x^3} \, dx","Integrate[(-x^2 - 4*x^3 + 16*x^4 + E^x*(4*x^3 + 4*x^4) - 2*Log[4]^2 - 4*x^3*Log[x])/x^3,x]","8 x^2+\frac{\log ^2(4)}{x^2}+4 e^x x-4 x \log (x)-\log (x)","\frac{\log ^2(4)}{x^2}+4 x \left(2 x+e^x-\log (x)\right)-\log (x)",1,"4*E^x*x + 8*x^2 + Log[4]^2/x^2 - Log[x] - 4*x*Log[x]","A",1
1844,1,88,29,0.0351272,"\int \frac{4+10 x-2 x^2-2 x^3+\left(-4 x+2 x^2\right) \log \left(e^{-4-2 e^3+4 x}\right)+\left(-4 x+2 x^2\right) \log (x)+\left(2+6 x+2 x^2-2 x \log \left(e^{-4-2 e^3+4 x}\right)-2 x \log (x)\right) \log \left(x-\log \left(e^{-4-2 e^3+4 x}\right)-\log (x)\right)}{-x^2+x \log \left(e^{-4-2 e^3+4 x}\right)+x \log (x)} \, dx","Integrate[(4 + 10*x - 2*x^2 - 2*x^3 + (-4*x + 2*x^2)*Log[E^(-4 - 2*E^3 + 4*x)] + (-4*x + 2*x^2)*Log[x] + (2 + 6*x + 2*x^2 - 2*x*Log[E^(-4 - 2*E^3 + 4*x)] - 2*x*Log[x])*Log[x - Log[E^(-4 - 2*E^3 + 4*x)] - Log[x]])/(-x^2 + x*Log[E^(-4 - 2*E^3 + 4*x)] + x*Log[x]),x]","2 \left(\frac{x^2}{2}-2 x+\frac{1}{2} \log ^2\left(x-\log \left(e^{4 x-2 e^3-4}\right)-\log (x)\right)-x \log \left(x-\log \left(e^{4 x-2 e^3-4}\right)-\log (x)\right)+2 \log \left(-x+\log \left(e^{4 x-2 e^3-4}\right)+\log (x)\right)\right)","\left(-x+\log \left(x-\log \left(e^{4 x-2 e^3-4}\right)-\log (x)\right)+2\right)^2",1,"2*(-2*x + x^2/2 - x*Log[x - Log[E^(-4 - 2*E^3 + 4*x)] - Log[x]] + Log[x - Log[E^(-4 - 2*E^3 + 4*x)] - Log[x]]^2/2 + 2*Log[-x + Log[E^(-4 - 2*E^3 + 4*x)] + Log[x]])","B",1
1845,1,36,29,0.3081319,"\int \frac{-6 e^4+8 x+e^x \left(10 x^3-5 x^4+e^8 \left(10 x-5 x^2\right)+e^4 \left(-20 x^2+10 x^3\right)\right)}{-2 e^4 x+2 x^2+e^x \left(5 e^8 x^2-10 e^4 x^3+5 x^4\right)} \, dx","Integrate[(-6*E^4 + 8*x + E^x*(10*x^3 - 5*x^4 + E^8*(10*x - 5*x^2) + E^4*(-20*x^2 + 10*x^3)))/(-2*E^4*x + 2*x^2 + E^x*(5*E^8*x^2 - 10*E^4*x^3 + 5*x^4)),x]","-\log \left(5 e^x x^2-5 e^{x+4} x+2\right)+2 \log (x)+\log \left(x \left(x-e^4\right)\right)","\log \left(\frac{x^2 \log (5)}{5 e^x-\frac{2}{\left(e^4-x\right) x}}\right)",1,"2*Log[x] + Log[x*(-E^4 + x)] - Log[2 - 5*E^(4 + x)*x + 5*E^x*x^2]","A",1
1846,1,17,21,0.1166605,"\int \frac{e^{\frac{-26 x+15 x^2}{-26+13 x}} \left(52-60 x+15 x^2\right)}{52-52 x+13 x^2} \, dx","Integrate[(E^((-26*x + 15*x^2)/(-26 + 13*x))*(52 - 60*x + 15*x^2))/(52 - 52*x + 13*x^2),x]","e^{\frac{x (15 x-26)}{13 (x-2)}}","e^{\frac{\left(2-\frac{15 x}{13}\right) x}{2-x}}+\log (5)",1,"E^((x*(-26 + 15*x))/(13*(-2 + x)))","A",1
1847,1,25,20,1.885451,"\int \frac{e^{-\frac{5-e^x+x+\log (4)}{x}} \log ^{-1+e^{-\frac{5-e^x+x+\log (4)}{x}}}(x) \left(x+\left(5+e^x (-1+x)+\log (4)\right) \log (x) \log (\log (x))\right)}{x^2} \, dx","Integrate[(Log[x]^(-1 + E^(-((5 - E^x + x + Log[4])/x)))*(x + (5 + E^x*(-1 + x) + Log[4])*Log[x]*Log[Log[x]]))/(E^((5 - E^x + x + Log[4])/x)*x^2),x]","\log ^{4^{-1/x} e^{\frac{-x+e^x-5}{x}}}(x)","\log ^{e^{-\frac{x-e^x+5+\log (4)}{x}}}(x)",1,"Log[x]^(E^((-5 + E^x - x)/x)/4^x^(-1))","A",1
1848,1,14,17,0.1568181,"\int \frac{-2-80 x+8 x \log (3)+(-120 x+12 x \log (3)) \log (x)+(-60 x+6 x \log (3)) \log ^2(x)+(-10 x+x \log (3)) \log ^3(x)}{8 x+12 x \log (x)+6 x \log ^2(x)+x \log ^3(x)} \, dx","Integrate[(-2 - 80*x + 8*x*Log[3] + (-120*x + 12*x*Log[3])*Log[x] + (-60*x + 6*x*Log[3])*Log[x]^2 + (-10*x + x*Log[3])*Log[x]^3)/(8*x + 12*x*Log[x] + 6*x*Log[x]^2 + x*Log[x]^3),x]","-10 x+x \log (3)+\frac{1}{(\log (x)+2)^2}","-x+x (\log (3)-9)+\frac{1}{(\log (x)+2)^2}+4",1,"-10*x + x*Log[3] + (2 + Log[x])^(-2)","A",1
1849,1,31,24,0.0171057,"\int \frac{524288 x^9+\left(20-10485760 x^8-2621440 x^9\right) \log (3)}{-x^2+\left(20 x+5 x^2\right) \log (3)} \, dx","Integrate[(524288*x^9 + (20 - 10485760*x^8 - 2621440*x^9)*Log[3])/(-x^2 + (20*x + 5*x^2)*Log[3]),x]","-4 \left(16384 x^8-\frac{\log (x)}{4}+\frac{1}{4} \log (-x+x \log (243)+20 \log (3))\right)","-65536 x^8+\log (x)-\log \left(x-\frac{x}{5 \log (3)}+4\right)+2",1,"-4*(16384*x^8 - Log[x]/4 + Log[-x + 20*Log[3] + x*Log[243]]/4)","A",1
1850,1,25,19,0.0189214,"\int \frac{-25 x^4+e^{2 x} (-20+8 x)+e^x \left(-60 x^2+20 x^3\right)}{4 x^6} \, dx","Integrate[(-25*x^4 + E^(2*x)*(-20 + 8*x) + E^x*(-60*x^2 + 20*x^3))/(4*x^6),x]","\frac{e^{2 x}}{x^5}+\frac{5 e^x}{x^3}+\frac{25}{4 x}","\frac{\left(\frac{5 x}{2}+\frac{e^x}{x}\right)^2}{x^3}",1,"E^(2*x)/x^5 + (5*E^x)/x^3 + 25/(4*x)","A",1
1851,1,11,13,0.0000673,"\int \frac{1}{8 \log (\log (\log (6)))} \, dx","Integrate[1/(8*Log[Log[Log[6]]]),x]","\frac{x}{8 \log (\log (\log (6)))}","\frac{x}{8 \log (\log (\log (6)))}+6",1,"x/(8*Log[Log[Log[6]]])","A",1
1852,1,26,26,0.095273,"\int \frac{e^{2+x} \left(-4 e^2-2 e^{2+x}\right)+\left(-25 e^x+e^{2+2 x}\right) \log \left(-25+e^{2+x}\right)}{\left(-100 e^2-50 e^{2+x}+e^{2+x} \left(4 e^2+2 e^{2+x}\right)\right) \log \left(-25+e^{2+x}\right)} \, dx","Integrate[(E^(2 + x)*(-4*E^2 - 2*E^(2 + x)) + (-25*E^x + E^(2 + 2*x))*Log[-25 + E^(2 + x)])/((-100*E^2 - 50*E^(2 + x) + E^(2 + x)*(4*E^2 + 2*E^(2 + x)))*Log[-25 + E^(2 + x)]),x]","\frac{1}{2} \left(\frac{\log \left(e^x+2\right)}{e^2}-2 \log \left(\log \left(e^{x+2}-25\right)\right)\right)","\frac{\log \left(e^x+2\right)}{2 e^2}+\log \left(\frac{1}{\log \left(e^{x+2}-25\right)}\right)+3",1,"(Log[2 + E^x]/E^2 - 2*Log[Log[-25 + E^(2 + x)]])/2","A",1
1853,1,11,21,0.053031,"\int \frac{-1+3 x}{-3 x^2+x \log (x)} \, dx","Integrate[(-1 + 3*x)/(-3*x^2 + x*Log[x]),x]","-\log (3 x-\log (x))","\log \left(\frac{e^5}{x \left(3-\frac{\log (x)}{x}\right)}\right)+e",1,"-Log[3*x - Log[x]]","A",1
1854,1,17,19,0.0420864,"\int \frac{-e^4+e^{4+x} (-3+x)}{32-32 x+8 x^2} \, dx","Integrate[(-E^4 + E^(4 + x)*(-3 + x))/(32 - 32*x + 8*x^2),x]","\frac{e^4 \left(e^x+1\right)}{8 (x-2)}","\frac{e^4 \left(e^x+1\right)}{4 (2 x-4)}",1,"(E^4*(1 + E^x))/(8*(-2 + x))","A",1
1855,1,27,26,0.0947723,"\int \frac{e^{1+x} (1-x)-5 e x^2+\left(e^{1+x}-6 x+5 e x^2\right) \log \left(\frac{-e^{1+x}+6 x-5 e x^2}{3 x}\right)}{e^{1+x} x^2-6 x^3+5 e x^4+\left(2 e^{1+x} x-12 x^2+10 e x^3\right) \log \left(\frac{-e^{1+x}+6 x-5 e x^2}{3 x}\right)+\left(e^{1+x}-6 x+5 e x^2\right) \log ^2\left(\frac{-e^{1+x}+6 x-5 e x^2}{3 x}\right)} \, dx","Integrate[(E^(1 + x)*(1 - x) - 5*E*x^2 + (E^(1 + x) - 6*x + 5*E*x^2)*Log[(-E^(1 + x) + 6*x - 5*E*x^2)/(3*x)])/(E^(1 + x)*x^2 - 6*x^3 + 5*E*x^4 + (2*E^(1 + x)*x - 12*x^2 + 10*E*x^3)*Log[(-E^(1 + x) + 6*x - 5*E*x^2)/(3*x)] + (E^(1 + x) - 6*x + 5*E*x^2)*Log[(-E^(1 + x) + 6*x - 5*E*x^2)/(3*x)]^2),x]","\frac{x}{x+\log \left(-\frac{5 e x}{3}-\frac{e^{x+1}}{3 x}+2\right)}","\frac{x}{\log \left(2-\frac{e \left(5 x^2+e^x\right)}{3 x}\right)+x}",1,"x/(x + Log[2 - E^(1 + x)/(3*x) - (5*E*x)/3])","A",1
1856,1,14,18,0.1156969,"\int \frac{e^{-x} \left(40+10 x+\left(-60 x-10 x^2\right) \log (x)\right)}{64 x+48 x^2+12 x^3+x^4} \, dx","Integrate[(40 + 10*x + (-60*x - 10*x^2)*Log[x])/(E^x*(64*x + 48*x^2 + 12*x^3 + x^4)),x]","\frac{10 e^{-x} \log (x)}{(x+4)^2}","\frac{10 e^{-x} \log (x)}{(x+4)^2}-e",1,"(10*Log[x])/(E^x*(4 + x)^2)","A",1
1857,1,25,23,0.271871,"\int \frac{6+2 e^x+2 x+e^x (-2+2 x) \log (x)+e^{3+e^e} \left(-3-e^x-x+e^x (1-x) \log (x)\right)}{9+\left(-6 e^x-6 x\right) \log (x)+\left(e^{2 x}+2 e^x x+x^2\right) \log ^2(x)} \, dx","Integrate[(6 + 2*E^x + 2*x + E^x*(-2 + 2*x)*Log[x] + E^(3 + E^E)*(-3 - E^x - x + E^x*(1 - x)*Log[x]))/(9 + (-6*E^x - 6*x)*Log[x] + (E^(2*x) + 2*E^x*x + x^2)*Log[x]^2),x]","\frac{\left(e^{3+e^e}-2\right) x}{e^x \log (x)+x \log (x)-3}","\frac{\left(e^{3+e^e}-2\right) x}{\left(x+e^x\right) \log (x)-3}",1,"((-2 + E^(3 + E^E))*x)/(-3 + E^x*Log[x] + x*Log[x])","A",1
1858,1,35,33,0.177207,"\int \frac{1}{4} e^{-x} \left(-8+12 e^x-2 x-3 x^2+2 x^3+\left(-4 x-x^2+x^3\right) \log (3 x)\right) \, dx","Integrate[(-8 + 12*E^x - 2*x - 3*x^2 + 2*x^3 + (-4*x - x^2 + x^3)*Log[3*x])/(4*E^x),x]","-\frac{1}{4} e^{-x} x \left(2 \left(x^2+2 x-6 e^x+4\right)+x (x+2) \log (3 x)\right)","3 x-e^{-x} \left(\frac{1}{4} \left(x^2+2 x\right) x (\log (3 x)+2)+2 x\right)",1,"-1/4*(x*(2*(4 - 6*E^x + 2*x + x^2) + x*(2 + x)*Log[3*x]))/E^x","A",1
1859,1,19,19,0.0848279,"\int \frac{5 x+22 x^2+13 x^3+2 x^4+\left(5+4 x+5 x^2+4 x^3\right) \log \left(e^x \left(1+2 x^2+x^4\right)\right)}{1+x^2} \, dx","Integrate[(5*x + 22*x^2 + 13*x^3 + 2*x^4 + (5 + 4*x + 5*x^2 + 4*x^3)*Log[E^x*(1 + 2*x^2 + x^4)])/(1 + x^2),x]","x (2 x+5) \log \left(e^x \left(x^2+1\right)^2\right)","x (2 x+5) \log \left(e^x \left(x^2+1\right)^2\right)",1,"x*(5 + 2*x)*Log[E^x*(1 + x^2)^2]","A",1
1860,1,27,28,0.2530981,"\int \frac{\exp \left(\frac{e^9-x \log \left(\frac{e^{e^2} \log ^2(-4+x)}{x^2}\right)}{\log \left(\frac{e^{e^2} \log ^2(-4+x)}{x^2}\right)}\right) \left(-2 e^9 x+e^9 (-8+2 x) \log (-4+x)+\left(4 x-x^2\right) \log (-4+x) \log ^2\left(\frac{e^{e^2} \log ^2(-4+x)}{x^2}\right)\right)}{\left(-4 x+x^2\right) \log (-4+x) \log ^2\left(\frac{e^{e^2} \log ^2(-4+x)}{x^2}\right)} \, dx","Integrate[(E^((E^9 - x*Log[(E^E^2*Log[-4 + x]^2)/x^2])/Log[(E^E^2*Log[-4 + x]^2)/x^2])*(-2*E^9*x + E^9*(-8 + 2*x)*Log[-4 + x] + (4*x - x^2)*Log[-4 + x]*Log[(E^E^2*Log[-4 + x]^2)/x^2]^2))/((-4*x + x^2)*Log[-4 + x]*Log[(E^E^2*Log[-4 + x]^2)/x^2]^2),x]","e^{\frac{e^9}{\log \left(\frac{\log ^2(x-4)}{x^2}\right)+e^2}-x}","e^{\frac{e^9}{\log \left(\frac{e^{e^2} \log ^2(x-4)}{x^2}\right)}-x}",1,"E^(-x + E^9/(E^2 + Log[Log[-4 + x]^2/x^2]))","A",1
1861,1,25,33,0.0290812,"\int \frac{-2+\left(5 x-5 e^x x-40 x^2+\left(x-e^x x-8 x^2\right) \log \left(\frac{x^2}{16}\right)\right) \log ^2\left(5+\log \left(\frac{x^2}{16}\right)\right)}{\left(5 x+x \log \left(\frac{x^2}{16}\right)\right) \log ^2\left(5+\log \left(\frac{x^2}{16}\right)\right)} \, dx","Integrate[(-2 + (5*x - 5*E^x*x - 40*x^2 + (x - E^x*x - 8*x^2)*Log[x^2/16])*Log[5 + Log[x^2/16]]^2)/((5*x + x*Log[x^2/16])*Log[5 + Log[x^2/16]]^2),x]","-4 x^2+\frac{1}{\log \left(\log \left(\frac{x^2}{16}\right)+5\right)}+x-e^x","-4 x^2+\frac{1}{3} \left(\frac{3}{\log \left(\log \left(\frac{x^2}{16}\right)+5\right)}+1\right)+x-e^x",1,"-E^x + x - 4*x^2 + Log[5 + Log[x^2/16]]^(-1)","A",1
1862,1,30,34,0.1604296,"\int \frac{320-432 x^2+204 x^4-41 x^6+3 x^8+e^{3 x} \left(5 x^3-30 x^4+57 x^5-22 x^6-36 x^7+24 x^8\right)+e^{2 x} \left(60 x^2-240 x^3+189 x^4+204 x^5-195 x^6-36 x^7+36 x^8\right)+\left(-4 x^2-3 x^4\right) \log (4)+e^x \left(240 x-480 x^2-264 x^3+528 x^4+87 x^5-174 x^6-9 x^7+18 x^8+\left(x^3-4 x^4-4 x^5\right) \log (4)\right)}{-64 x^2+48 x^4-12 x^6+x^8+e^x \left(-48 x^3+96 x^4+24 x^5-48 x^6-3 x^7+6 x^8\right)+e^{3 x} \left(-x^5+6 x^6-12 x^7+8 x^8\right)+e^{2 x} \left(-12 x^4+48 x^5-45 x^6-12 x^7+12 x^8\right)} \, dx","Integrate[(320 - 432*x^2 + 204*x^4 - 41*x^6 + 3*x^8 + E^(3*x)*(5*x^3 - 30*x^4 + 57*x^5 - 22*x^6 - 36*x^7 + 24*x^8) + E^(2*x)*(60*x^2 - 240*x^3 + 189*x^4 + 204*x^5 - 195*x^6 - 36*x^7 + 36*x^8) + (-4*x^2 - 3*x^4)*Log[4] + E^x*(240*x - 480*x^2 - 264*x^3 + 528*x^4 + 87*x^5 - 174*x^6 - 9*x^7 + 18*x^8 + (x^3 - 4*x^4 - 4*x^5)*Log[4]))/(-64*x^2 + 48*x^4 - 12*x^6 + x^8 + E^x*(-48*x^3 + 96*x^4 + 24*x^5 - 48*x^6 - 3*x^7 + 6*x^8) + E^(3*x)*(-x^5 + 6*x^6 - 12*x^7 + 8*x^8) + E^(2*x)*(-12*x^4 + 48*x^5 - 45*x^6 - 12*x^7 + 12*x^8)),x]","x \left(\frac{\log (4)}{\left(x^2+e^x (2 x-1) x-4\right)^2}+3\right)+\frac{5}{x}","\frac{3 x^2+\frac{\log (4)}{\left(e^x (1-2 x)-x+\frac{4}{x}\right)^2}+5}{x}",1,"5/x + x*(3 + Log[4]/(-4 + x^2 + E^x*x*(-1 + 2*x))^2)","A",1
1863,1,20,25,0.0019707,"\int \frac{1}{40} \left(200+5 x^4-2 x^3 \log (4)\right) \, dx","Integrate[(200 + 5*x^4 - 2*x^3*Log[4])/40,x]","\frac{x^5}{40}-\frac{1}{40} x^4 \log (2)+5 x","5 x-\frac{1}{80} x^3 \left(x (\log (4)-x)-x^2\right)",1,"5*x + x^5/40 - (x^4*Log[2])/40","A",1
1864,1,68,26,0.0885644,"\int \frac{16 x^2+\left(-4608+1440 x-72 x^2-54 x^3+18 x^4\right) \log (x)+\left(-1152 x+288 x^2-72 x^3\right) \log ^2(x)}{\left(2304 x-288 x^2-279 x^3+18 x^4+9 x^5\right) \log (x)+\left(1152 x^2-72 x^3-72 x^4\right) \log ^2(x)+144 x^3 \log ^3(x)+16 x^3 \log (x) \log (\log (x))} \, dx","Integrate[(16*x^2 + (-4608 + 1440*x - 72*x^2 - 54*x^3 + 18*x^4)*Log[x] + (-1152*x + 288*x^2 - 72*x^3)*Log[x]^2)/((2304*x - 288*x^2 - 279*x^3 + 18*x^4 + 9*x^5)*Log[x] + (1152*x^2 - 72*x^3 - 72*x^4)*Log[x]^2 + 144*x^3*Log[x]^3 + 16*x^3*Log[x]*Log[Log[x]]),x]","2 \left(\frac{1}{2} \log \left(9 x^4+18 x^3-72 x^3 \log (x)-279 x^2+144 x^2 \log ^2(x)-72 x^2 \log (x)+16 x^2 \log (\log (x))-288 x+1152 x \log (x)+2304\right)-\log (x)\right)","\log \left(9 \left(\frac{1}{4} (-x-1)+\frac{4}{x}+\log (x)\right)^2+\log (\log (x))\right)",1,"2*(-Log[x] + Log[2304 - 288*x - 279*x^2 + 18*x^3 + 9*x^4 + 1152*x*Log[x] - 72*x^2*Log[x] - 72*x^3*Log[x] + 144*x^2*Log[x]^2 + 16*x^2*Log[Log[x]]]/2)","B",1
1865,1,11,24,0.0347243,"\int \frac{-18 x^3+8 x^3 \log (x)}{4-4 \log (x)+\log ^2(x)} \, dx","Integrate[(-18*x^3 + 8*x^3*Log[x])/(4 - 4*Log[x] + Log[x]^2),x]","\frac{2 x^4}{\log (x)-2}","\frac{2 x^3}{\frac{x+\log (x)}{x}-\frac{x+2}{x}}",1,"(2*x^4)/(-2 + Log[x])","A",1
1866,1,29,32,0.1914471,"\int \frac{64+208 x+33 x^2+2 x^3+\left(-16-50 x-4 x^2\right) \log (5)+(1+3 x) \log ^2(5)+e^x \left(-80-266 x-70 x^2-10 x^3-x^4+\left(26+82 x+10 x^2+x^3\right) \log (5)+(-2-6 x) \log ^2(5)\right)+e^{2 x} \left(25+85 x+31 x^2+3 x^3+\left(-10-32 x-6 x^2\right) \log (5)+(1+3 x) \log ^2(5)\right)}{64 x+16 x^2+x^3+\left(-16 x-2 x^2\right) \log (5)+x \log ^2(5)+e^x \left(-80 x-26 x^2-2 x^3+\left(26 x+4 x^2\right) \log (5)-2 x \log ^2(5)\right)+e^{2 x} \left(25 x+10 x^2+x^3+\left(-10 x-2 x^2\right) \log (5)+x \log ^2(5)\right)} \, dx","Integrate[(64 + 208*x + 33*x^2 + 2*x^3 + (-16 - 50*x - 4*x^2)*Log[5] + (1 + 3*x)*Log[5]^2 + E^x*(-80 - 266*x - 70*x^2 - 10*x^3 - x^4 + (26 + 82*x + 10*x^2 + x^3)*Log[5] + (-2 - 6*x)*Log[5]^2) + E^(2*x)*(25 + 85*x + 31*x^2 + 3*x^3 + (-10 - 32*x - 6*x^2)*Log[5] + (1 + 3*x)*Log[5]^2))/(64*x + 16*x^2 + x^3 + (-16*x - 2*x^2)*Log[5] + x*Log[5]^2 + E^x*(-80*x - 26*x^2 - 2*x^3 + (26*x + 4*x^2)*Log[5] - 2*x*Log[5]^2) + E^(2*x)*(25*x + 10*x^2 + x^3 + (-10*x - 2*x^2)*Log[5] + x*Log[5]^2)),x]","x \left(\frac{x}{-x+e^x (x+5-\log (5))-8+\log (5)}+3\right)+\log (x)","3 x+\frac{x}{\frac{\left(e^x-1\right) (x+5-\log (5))}{x}-\frac{3}{x}}+\log (x)",1,"x*(3 + x/(-8 - x + E^x*(5 + x - Log[5]) + Log[5])) + Log[x]","A",1
1867,1,26,26,0.1482726,"\int \frac{e^{-2+x} \left(32 e^{2-x} x^5+e^{\frac{2 e^{-2+x} (-8+2 x)}{x}} \left(256-256 x-32 e^{2-x} x+64 x^2\right)+e^{\frac{e^{-2+x} (-8+2 x)}{x}} \left(256 x^2-256 x^3+64 x^4\right)\right)}{x^4} \, dx","Integrate[(E^(-2 + x)*(32*E^(2 - x)*x^5 + E^((2*E^(-2 + x)*(-8 + 2*x))/x)*(256 - 256*x - 32*E^(2 - x)*x + 64*x^2) + E^((E^(-2 + x)*(-8 + 2*x))/x)*(256*x^2 - 256*x^3 + 64*x^4)))/x^4,x]","\frac{16 \left(x^2+e^{\frac{2 e^{x-2} (x-4)}{x}}\right)^2}{x^2}","\frac{16 \left(x^2+e^{\frac{2 e^{x-2} (x-4)}{x}}\right)^2}{x^2}",1,"(16*(E^((2*E^(-2 + x)*(-4 + x))/x) + x^2)^2)/x^2","A",1
1868,1,22,25,0.2405859,"\int \frac{-70+85 x-25 x^2+(-10+10 x) \log (x)+(-5+5 x) \log (3 x)}{17 x-5 x^2+2 x \log (x)+x \log (3 x)} \, dx","Integrate[(-70 + 85*x - 25*x^2 + (-10 + 10*x)*Log[x] + (-5 + 5*x)*Log[3*x])/(17*x - 5*x^2 + 2*x*Log[x] + x*Log[3*x]),x]","-5 (-x+\log (x)-\log (-5 x+3 \log (x)+17+\log (3)))","5 \left(x+\log \left(\frac{-2 (\log (x)+7)-\log (3 x)-3}{x}+5\right)\right)",1,"-5*(-x + Log[x] - Log[17 - 5*x + Log[3] + 3*Log[x]])","A",1
1869,1,30,33,0.2714658,"\int \frac{1-6 x+11 x^2-6 x^3+x^4+\left(18-54 x+18 x^2\right) \log (3)+81 \log ^2(3)+e^{e^x-x} \left(\left(-1+x-2 x^2+x^3\right) \log (3)+(-9+9 x) \log ^2(3)+e^x \left(\left(-x+3 x^2-x^3\right) \log (3)-9 x \log ^2(3)\right)\right)}{1-6 x+11 x^2-6 x^3+x^4+\left(18-54 x+18 x^2\right) \log (3)+81 \log ^2(3)} \, dx","Integrate[(1 - 6*x + 11*x^2 - 6*x^3 + x^4 + (18 - 54*x + 18*x^2)*Log[3] + 81*Log[3]^2 + E^(E^x - x)*((-1 + x - 2*x^2 + x^3)*Log[3] + (-9 + 9*x)*Log[3]^2 + E^x*((-x + 3*x^2 - x^3)*Log[3] - 9*x*Log[3]^2)))/(1 - 6*x + 11*x^2 - 6*x^3 + x^4 + (18 - 54*x + 18*x^2)*Log[3] + 81*Log[3]^2),x]","x-\frac{e^{e^x-x} x \log (3)}{x^2-3 x+1+9 \log (3)}","x+\frac{e^{e^x-x} x}{\frac{x-(1-x)^2}{\log (3)}-9}",1,"x - (E^(E^x - x)*x*Log[3])/(1 - 3*x + x^2 + 9*Log[3])","A",1
1870,1,38,28,0.0517448,"\int \frac{20-40 x+20 x^2+\left(20-20 x^2\right) \log (4 x)+(-40-x) \log ^2(4 x)}{x^2 \log ^2(4 x)} \, dx","Integrate[(20 - 40*x + 20*x^2 + (20 - 20*x^2)*Log[4*x] + (-40 - x)*Log[4*x]^2)/(x^2*Log[4*x]^2),x]","\frac{40}{x}-\frac{20 x}{\log (4 x)}-\log (x)+\frac{40}{\log (4 x)}-\frac{20}{x \log (4 x)}","\log \left(\frac{3}{x}\right)-\frac{20 \left(\frac{(1-x)^2}{\log (4 x)}-2\right)}{x}",1,"40/x - Log[x] + 40/Log[4*x] - 20/(x*Log[4*x]) - (20*x)/Log[4*x]","A",1
1871,1,23,21,0.0573286,"\int \frac{e^{-\frac{x}{\log (3)}} \left(-x^4+4 x^3 \log (3)+e^{\frac{x}{\log (3)}} (15+6 x) \log (3)\right)}{3 \log (3)} \, dx","Integrate[(-x^4 + 4*x^3*Log[3] + E^(x/Log[3])*(15 + 6*x)*Log[3])/(3*E^(x/Log[3])*Log[3]),x]","\frac{1}{3} x^4 e^{-\frac{x}{\log (3)}}+x^2+5 x","x \left(\frac{1}{3} x^3 e^{-\frac{x}{\log (3)}}+x+5\right)",1,"5*x + x^2 + x^4/(3*E^(x/Log[3]))","A",1
1872,1,18,18,0.0898858,"\int \frac{-2-6 x-18 x^2}{1+81 x^4-2 x \log \left(x^3\right)+x^2 \log ^2\left(x^3\right)+3 x^2 \left(-6+6 x \log \left(x^3\right)\right)} \, dx","Integrate[(-2 - 6*x - 18*x^2)/(1 + 81*x^4 - 2*x*Log[x^3] + x^2*Log[x^3]^2 + 3*x^2*(-6 + 6*x*Log[x^3])),x]","\frac{2 x}{x \log \left(x^3\right)+9 x^2-1}","\frac{2 x}{x \log \left(x^3\right)+9 x^2-1}",1,"(2*x)/(-1 + 9*x^2 + x*Log[x^3])","A",1
1873,1,12,13,0.0000728,"\int \left(76-6 e^5 x\right) \, dx","Integrate[76 - 6*E^5*x,x]","76 x-3 e^5 x^2","3 \left(25-e^5 x\right) x+x",1,"76*x - 3*E^5*x^2","A",1
1874,1,25,26,0.0790495,"\int \frac{-10-8 x+2 x^2+\left(15+17 x-4 x^2\right) \log ^2\left(-\frac{x}{-5+x}\right)+\left(-5-9 x+2 x^2\right) \log ^4\left(-\frac{x}{-5+x}\right)+\log (x) \left(-5+x-10 \log \left(-\frac{x}{-5+x}\right)+(5-x) \log ^2\left(-\frac{x}{-5+x}\right)\right)}{-5+x+(10-2 x) \log ^2\left(-\frac{x}{-5+x}\right)+(-5+x) \log ^4\left(-\frac{x}{-5+x}\right)} \, dx","Integrate[(-10 - 8*x + 2*x^2 + (15 + 17*x - 4*x^2)*Log[-(x/(-5 + x))]^2 + (-5 - 9*x + 2*x^2)*Log[-(x/(-5 + x))]^4 + Log[x]*(-5 + x - 10*Log[-(x/(-5 + x))] + (5 - x)*Log[-(x/(-5 + x))]^2))/(-5 + x + (10 - 2*x)*Log[-(x/(-5 + x))]^2 + (-5 + x)*Log[-(x/(-5 + x))]^4),x]","x^2+x-\frac{x \log (x)}{\log ^2\left(-\frac{x}{x-5}\right)-1}","x^2+x-\frac{x \log (x)}{\log ^2\left(\frac{x}{5-x}\right)-1}",1,"x + x^2 - (x*Log[x])/(-1 + Log[-(x/(-5 + x))]^2)","A",1
1875,1,24,28,1.0819859,"\int \frac{e^{e^{\frac{-256+32 x^3-x^6+x^4 \log (5)}{x^3}}+x} \left(-x^4+e^{\frac{-256+32 x^3-x^6+x^4 \log (5)}{x^3}} \left(-768+3 x^6-x^4 \log (5)\right)\right)}{x^4} \, dx","Integrate[(E^(E^((-256 + 32*x^3 - x^6 + x^4*Log[5])/x^3) + x)*(-x^4 + E^((-256 + 32*x^3 - x^6 + x^4*Log[5])/x^3)*(-768 + 3*x^6 - x^4*Log[5])))/x^4,x]","-e^{5^x e^{-x^3-\frac{256}{x^3}+32}+x}","1-e^{e^{x \left(\log (5)-\left(\frac{16}{x^2}-x\right)^2\right)}+x}",1,"-E^(5^x*E^(32 - 256/x^3 - x^3) + x)","A",1
1876,1,22,26,0.0978072,"\int \frac{-2 x+e^{-4-e^{x^4}+e^{-4-e^{x^4}+x}+x} \left(2 x-8 e^{x^4} x^4\right)}{x+e^{e^{-4-e^{x^4}+x}} x-x^2} \, dx","Integrate[(-2*x + E^(-4 - E^x^4 + E^(-4 - E^x^4 + x) + x)*(2*x - 8*E^x^4*x^4))/(x + E^E^(-4 - E^x^4 + x)*x - x^2),x]","2 \log \left(e^{e^{-e^{x^4}+x-4}}-x+1\right)","\log \left(\frac{1}{50} \left(-e^{e^{-e^{x^4}+x-4}}+x-1\right)^2\right)",1,"2*Log[1 + E^E^(-4 - E^x^4 + x) - x]","A",1
1877,1,26,28,0.0529767,"\int \frac{\exp \left(\frac{2 x+12 x^3-3 x^4+\left(-3-12 x^2+3 x^3\right) \log \left(\frac{x}{\log (3)}\right)}{-3-12 x^2+3 x^3}\right) \left(3-2 x+24 x^2-34 x^3+56 x^4-72 x^5+27 x^6-3 x^7\right)}{3 x+24 x^3-6 x^4+48 x^5-24 x^6+3 x^7} \, dx","Integrate[(E^((2*x + 12*x^3 - 3*x^4 + (-3 - 12*x^2 + 3*x^3)*Log[x/Log[3]])/(-3 - 12*x^2 + 3*x^3))*(3 - 2*x + 24*x^2 - 34*x^3 + 56*x^4 - 72*x^5 + 27*x^6 - 3*x^7))/(3*x + 24*x^3 - 6*x^4 + 48*x^5 - 24*x^6 + 3*x^7),x]","\frac{e^{x \left(\frac{1}{-3 x^3+12 x^2+3}-1\right)} x}{\log (3)}","\frac{e^{\frac{x}{3 (4-x) x^2+3}-x} x}{\log (3)}",1,"(E^(x*(-1 + (3 + 12*x^2 - 3*x^3)^(-1)))*x)/Log[3]","A",1
1878,1,21,27,0.5072811,"\int \frac{52-26 x+4 x^2+e^{1+2 x^2+x^4} \left(-4+2 x+16 x^2-4 x^3+16 x^4-4 x^5\right)}{169+e^{2+4 x^2+2 x^4}-26 x^2+x^4+e^{1+2 x^2+x^4} \left(-26+2 x^2\right)} \, dx","Integrate[(52 - 26*x + 4*x^2 + E^(1 + 2*x^2 + x^4)*(-4 + 2*x + 16*x^2 - 4*x^3 + 16*x^4 - 4*x^5))/(169 + E^(2 + 4*x^2 + 2*x^4) - 26*x^2 + x^4 + E^(1 + 2*x^2 + x^4)*(-26 + 2*x^2)),x]","\frac{(x-4) x}{x^2+e^{\left(x^2+1\right)^2}-13}","\frac{(4-x) x}{-x^2-e^{\left(x^2+1\right)^2}+13}",1,"((-4 + x)*x)/(-13 + E^(1 + x^2)^2 + x^2)","A",1
1879,1,14,15,0.0307357,"\int \left(2 x+e^x x+e^x (1+x) \log \left(-e^x\right)\right) \, dx","Integrate[2*x + E^x*x + E^x*(1 + x)*Log[-E^x],x]","x \left(x+e^x \log \left(-e^x\right)\right)","x^2+e^x x \log \left(-e^x\right)",1,"x*(x + E^x*Log[-E^x])","A",1
1880,1,1485,18,0.5113139,"\int \frac{\left(18+14 x^4+2 \log (3)\right) \log \left(\frac{x}{81-18 x^4+x^8+\left(18-2 x^4\right) \log (3)+\log ^2(3)}\right)}{9 x-x^5+x \log (3)} \, dx","Integrate[((18 + 14*x^4 + 2*Log[3])*Log[x/(81 - 18*x^4 + x^8 + (18 - 2*x^4)*Log[3] + Log[3]^2)])/(9*x - x^5 + x*Log[3]),x]","-2 \left(\frac{\log ^2(x)}{2}-\log \left(\frac{x}{\left(-x^4+\log (3)+9\right)^2}\right) \log (x)-2 \log \left(\frac{i \left(x-i \sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right) \log (x)-2 \log \left(-\frac{i \left(x+i \sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right) \log (x)-2 \log \left(\frac{x+\sqrt[4]{9+\log (3)}}{\sqrt[4]{9+\log (3)}}\right) \log (x)-\frac{1}{2} \log (9+\log (3)) \log (x)+2 \log ^2\left(-x-\sqrt[4]{9+\log (3)}\right)+2 \log ^2\left(-x-i \sqrt[4]{9+\log (3)}\right)+2 \log ^2\left(i \sqrt[4]{9+\log (3)}-x\right)+2 \log ^2\left(\sqrt[4]{9+\log (3)}-x\right)-2 \log \left(-\frac{x}{\sqrt[4]{9+\log (3)}}\right) \log \left(-x-\sqrt[4]{9+\log (3)}\right)+2 \log \left(\frac{x}{\left(-x^4+\log (3)+9\right)^2}\right) \log \left(-x-\sqrt[4]{9+\log (3)}\right)+4 \log \left(2 \sqrt[4]{9+\log (3)}\right) \log \left(-x-\sqrt[4]{9+\log (3)}\right)+4 \log \left(-x-\sqrt[4]{9+\log (3)}\right) \log \left(-\frac{x-\sqrt[4]{9+\log (3)}}{2 \sqrt[4]{9+\log (3)}}\right)-2 \log \left(\frac{i x}{\sqrt[4]{9+\log (3)}}\right) \log \left(-x-i \sqrt[4]{9+\log (3)}\right)+2 \log \left(\frac{x}{\left(-x^4+\log (3)+9\right)^2}\right) \log \left(-x-i \sqrt[4]{9+\log (3)}\right)+4 \log \left(-\frac{\left(\frac{1}{2}-\frac{i}{2}\right) \left(x-\sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right) \log \left(-x-i \sqrt[4]{9+\log (3)}\right)+4 \log \left(-x-\sqrt[4]{9+\log (3)}\right) \log \left(-\frac{\left(\frac{1}{2}-\frac{i}{2}\right) \left(x-i \sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right)+4 \log \left(-x-i \sqrt[4]{9+\log (3)}\right) \log \left(\frac{i \left(x-i \sqrt[4]{9+\log (3)}\right)}{2 \sqrt[4]{9+\log (3)}}\right)-2 \log \left(-\frac{i x}{\sqrt[4]{9+\log (3)}}\right) \log \left(i \sqrt[4]{9+\log (3)}-x\right)+2 \log \left(\frac{x}{\left(-x^4+\log (3)+9\right)^2}\right) \log \left(i \sqrt[4]{9+\log (3)}-x\right)+4 \log \left(-\frac{\left(\frac{1}{2}+\frac{i}{2}\right) \left(x-\sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right) \log \left(i \sqrt[4]{9+\log (3)}-x\right)+4 \log \left(-x-\sqrt[4]{9+\log (3)}\right) \log \left(-\frac{\left(\frac{1}{2}+\frac{i}{2}\right) \left(x+i \sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right)+4 \log \left(i \sqrt[4]{9+\log (3)}-x\right) \log \left(-\frac{i \left(x+i \sqrt[4]{9+\log (3)}\right)}{2 \sqrt[4]{9+\log (3)}}\right)+2 \log \left(\frac{x}{\left(-x^4+\log (3)+9\right)^2}\right) \log \left(\sqrt[4]{9+\log (3)}-x\right)+4 \log \left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) \left(x-i \sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right) \log \left(\sqrt[4]{9+\log (3)}-x\right)+4 \log \left(\frac{\left(\frac{1}{2}-\frac{i}{2}\right) \left(x+i \sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right) \log \left(\sqrt[4]{9+\log (3)}-x\right)-\frac{1}{2} \log (9+\log (3)) \log \left(\sqrt[4]{9+\log (3)}-x\right)+4 \log \left(i \sqrt[4]{9+\log (3)}-x\right) \log \left(\frac{\left(\frac{1}{2}-\frac{i}{2}\right) \left(x+\sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right)+4 \log \left(-x-i \sqrt[4]{9+\log (3)}\right) \log \left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) \left(x+\sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right)-2 \text{Li}_2\left(-\frac{x}{\sqrt[4]{9+\log (3)}}\right)-2 \text{Li}_2\left(-\frac{i x}{\sqrt[4]{9+\log (3)}}\right)-2 \text{Li}_2\left(\frac{i x}{\sqrt[4]{9+\log (3)}}\right)+2 \text{Li}_2\left(\frac{x}{\sqrt[4]{9+\log (3)}}\right)+2 \text{Li}_2\left(-\frac{x-\sqrt[4]{9+\log (3)}}{\sqrt[4]{9+\log (3)}}\right)+4 \text{Li}_2\left(-\frac{\left(\frac{1}{2}+\frac{i}{2}\right) \left(x-\sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right)+4 \text{Li}_2\left(-\frac{\left(\frac{1}{2}-\frac{i}{2}\right) \left(x-\sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right)+4 \text{Li}_2\left(-\frac{\left(\frac{1}{2}-\frac{i}{2}\right) \left(x-i \sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right)+4 \text{Li}_2\left(\frac{i \left(x-i \sqrt[4]{9+\log (3)}\right)}{2 \sqrt[4]{9+\log (3)}}\right)-2 \text{Li}_2\left(\frac{i \left(x-i \sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right)+4 \text{Li}_2\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) \left(x-i \sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right)+4 \text{Li}_2\left(-\frac{\left(\frac{1}{2}+\frac{i}{2}\right) \left(x+i \sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right)+4 \text{Li}_2\left(-\frac{i \left(x+i \sqrt[4]{9+\log (3)}\right)}{2 \sqrt[4]{9+\log (3)}}\right)-2 \text{Li}_2\left(-\frac{i \left(x+i \sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right)+4 \text{Li}_2\left(\frac{\left(\frac{1}{2}-\frac{i}{2}\right) \left(x+i \sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right)+4 \text{Li}_2\left(\frac{\left(\frac{1}{2}-\frac{i}{2}\right) \left(x+\sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right)+4 \text{Li}_2\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) \left(x+\sqrt[4]{9+\log (3)}\right)}{\sqrt[4]{9+\log (3)}}\right)-2 \text{Li}_2\left(\frac{x+\sqrt[4]{9+\log (3)}}{\sqrt[4]{9+\log (3)}}\right)\right)","\log ^2\left(\frac{x}{\left(x^4-9-\log (3)\right)^2}\right)+4",1,"-2*(Log[x]^2/2 - (Log[x]*Log[9 + Log[3]])/2 - Log[x]*Log[x/(9 - x^4 + Log[3])^2] - 2*Log[-(x/(9 + Log[3])^(1/4))]*Log[-x - (9 + Log[3])^(1/4)] + 4*Log[2*(9 + Log[3])^(1/4)]*Log[-x - (9 + Log[3])^(1/4)] + 2*Log[x/(9 - x^4 + Log[3])^2]*Log[-x - (9 + Log[3])^(1/4)] + 2*Log[-x - (9 + Log[3])^(1/4)]^2 + 4*Log[-x - (9 + Log[3])^(1/4)]*Log[-1/2*(x - (9 + Log[3])^(1/4))/(9 + Log[3])^(1/4)] - 2*Log[(I*x)/(9 + Log[3])^(1/4)]*Log[-x - I*(9 + Log[3])^(1/4)] + 2*Log[x/(9 - x^4 + Log[3])^2]*Log[-x - I*(9 + Log[3])^(1/4)] + 4*Log[((-1/2 + I/2)*(x - (9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)]*Log[-x - I*(9 + Log[3])^(1/4)] + 2*Log[-x - I*(9 + Log[3])^(1/4)]^2 + 4*Log[-x - (9 + Log[3])^(1/4)]*Log[((-1/2 + I/2)*(x - I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] + 4*Log[-x - I*(9 + Log[3])^(1/4)]*Log[((I/2)*(x - I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] - 2*Log[x]*Log[(I*(x - I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] - 2*Log[((-I)*x)/(9 + Log[3])^(1/4)]*Log[-x + I*(9 + Log[3])^(1/4)] + 2*Log[x/(9 - x^4 + Log[3])^2]*Log[-x + I*(9 + Log[3])^(1/4)] + 4*Log[((-1/2 - I/2)*(x - (9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)]*Log[-x + I*(9 + Log[3])^(1/4)] + 2*Log[-x + I*(9 + Log[3])^(1/4)]^2 + 4*Log[-x - (9 + Log[3])^(1/4)]*Log[((-1/2 - I/2)*(x + I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] + 4*Log[-x + I*(9 + Log[3])^(1/4)]*Log[((-1/2*I)*(x + I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] - 2*Log[x]*Log[((-I)*(x + I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] - (Log[9 + Log[3]]*Log[-x + (9 + Log[3])^(1/4)])/2 + 2*Log[x/(9 - x^4 + Log[3])^2]*Log[-x + (9 + Log[3])^(1/4)] + 4*Log[((1/2 + I/2)*(x - I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)]*Log[-x + (9 + Log[3])^(1/4)] + 4*Log[((1/2 - I/2)*(x + I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)]*Log[-x + (9 + Log[3])^(1/4)] + 2*Log[-x + (9 + Log[3])^(1/4)]^2 + 4*Log[-x + I*(9 + Log[3])^(1/4)]*Log[((1/2 - I/2)*(x + (9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] + 4*Log[-x - I*(9 + Log[3])^(1/4)]*Log[((1/2 + I/2)*(x + (9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] - 2*Log[x]*Log[(x + (9 + Log[3])^(1/4))/(9 + Log[3])^(1/4)] - 2*PolyLog[2, -(x/(9 + Log[3])^(1/4))] - 2*PolyLog[2, ((-I)*x)/(9 + Log[3])^(1/4)] - 2*PolyLog[2, (I*x)/(9 + Log[3])^(1/4)] + 2*PolyLog[2, x/(9 + Log[3])^(1/4)] + 2*PolyLog[2, -((x - (9 + Log[3])^(1/4))/(9 + Log[3])^(1/4))] + 4*PolyLog[2, ((-1/2 - I/2)*(x - (9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] + 4*PolyLog[2, ((-1/2 + I/2)*(x - (9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] + 4*PolyLog[2, ((-1/2 + I/2)*(x - I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] + 4*PolyLog[2, ((I/2)*(x - I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] - 2*PolyLog[2, (I*(x - I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] + 4*PolyLog[2, ((1/2 + I/2)*(x - I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] + 4*PolyLog[2, ((-1/2 - I/2)*(x + I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] + 4*PolyLog[2, ((-1/2*I)*(x + I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] - 2*PolyLog[2, ((-I)*(x + I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] + 4*PolyLog[2, ((1/2 - I/2)*(x + I*(9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] + 4*PolyLog[2, ((1/2 - I/2)*(x + (9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] + 4*PolyLog[2, ((1/2 + I/2)*(x + (9 + Log[3])^(1/4)))/(9 + Log[3])^(1/4)] - 2*PolyLog[2, (x + (9 + Log[3])^(1/4))/(9 + Log[3])^(1/4)])","C",1
1881,1,21,20,0.0095651,"\int \frac{-1528-320 x+(152+32 x) \log (3)}{6859+4332 x+912 x^2+64 x^3} \, dx","Integrate[(-1528 - 320*x + (152 + 32*x)*Log[3])/(6859 + 4332*x + 912*x^2 + 64*x^3),x]","\frac{-8 x (\log (3)-10)+381-38 \log (3)}{(4 x+19)^2}","\left(\frac{1}{-x+5 (x+3)+4}+10-\log (3)\right)^2",1,"(381 - 8*x*(-10 + Log[3]) - 38*Log[3])/(19 + 4*x)^2","A",1
1882,1,27,31,2.8320039,"\int e^{1-2 e^x x+e^{2 x+e^{4 x} x} x} \left(e^x (2+2 x)+e^{x+e^{4 x} x} \left(e^x (-1-2 x)+e^{5 x} \left(-x-4 x^2\right)\right)\right) \, dx","Integrate[E^(1 - 2*E^x*x + E^(2*x + E^(4*x)*x)*x)*(E^x*(2 + 2*x) + E^(x + E^(4*x)*x)*(E^x*(-1 - 2*x) + E^(5*x)*(-x - 4*x^2))),x]","-e^{-2 e^x x+e^{e^{4 x} x+2 x} x+1}","4-e^{1-e^x \left(2 x-e^{e^{4 x} x+x} x\right)}",1,"-E^(1 - 2*E^x*x + E^(2*x + E^(4*x)*x)*x)","A",1
1883,1,30,32,0.3025017,"\int \frac{144+72 x^2+27 x^4+e^{2 x} \left(16+12 x+8 x^2+3 x^4\right)+e^x \left(96+36 x+48 x^2+27 x^4\right)}{27 e^{\frac{2}{x^2}} x^4+18 e^{\frac{2}{x^2}+x} x^4+3 e^{\frac{2}{x^2}+2 x} x^4} \, dx","Integrate[(144 + 72*x^2 + 27*x^4 + E^(2*x)*(16 + 12*x + 8*x^2 + 3*x^4) + E^x*(96 + 36*x + 48*x^2 + 27*x^4))/(27*E^(2/x^2)*x^4 + 18*E^(2/x^2 + x)*x^4 + 3*E^(2/x^2 + 2*x)*x^4),x]","\frac{1}{3} e^{-\frac{2}{x^2}} \left(3 x-\frac{9}{e^x+3}+\frac{4}{x}+3\right)","4-e^{-\frac{2}{x^2}} \left(-x+\frac{3}{e^x+3}-\frac{4}{3 x}-1\right)",1,"(3 - 9/(3 + E^x) + 4/x + 3*x)/(3*E^(2/x^2))","A",1
1884,1,32,37,0.377989,"\int \frac{-30-62 x^2+56 x^3+4 x^4+e^{\frac{\log ^2(x)}{5}} \left(30 x^3-6 x \log (x)\right)}{-30 x+28 x^2+15 e^{\frac{\log ^2(x)}{5}} x^2+2 x^3} \, dx","Integrate[(-30 - 62*x^2 + 56*x^3 + 4*x^4 + E^(Log[x]^2/5)*(30*x^3 - 6*x*Log[x]))/(-30*x + 28*x^2 + 15*E^(Log[x]^2/5)*x^2 + 2*x^3),x]","x^2-\log \left(-2 x^2-28 x-15 x e^{\frac{\log ^2(x)}{5}}+30\right)+\log (x)","x^2-\log \left(\frac{\left(\frac{x}{5}+3\right) (2 x-2)}{3 x}+e^{\frac{\log ^2(x)}{5}}\right)",1,"x^2 + Log[x] - Log[30 - 28*x - 15*E^(Log[x]^2/5)*x - 2*x^2]","A",1
1885,1,3,22,0.0043303,"\int \frac{1}{x \log (x)} \, dx","Integrate[1/(x*Log[x]),x]","\log (\log (x))","\log (x)+\log \left(\frac{\log (x)}{x}\right)+3+\frac{1}{5} (-3-5 \log (\log (4)))",1,"Log[Log[x]]","A",1
1886,1,23,27,0.0060565,"\int \frac{-x+25 x^2-8 x^3-\log (3)}{4 x^2} \, dx","Integrate[(-x + 25*x^2 - 8*x^3 - Log[3])/(4*x^2),x]","\frac{1}{4} \left(-4 x^2+25 x-\log (x)+\frac{\log (3)}{x}\right)","x \left(-x+\frac{x-\log (x)+\frac{\log (3)}{x}+4}{4 x}+6\right)",1,"(25*x - 4*x^2 + Log[3]/x - Log[x])/4","A",1
1887,1,32,33,0.1758798,"\int \frac{-162 x+108 x^2+518 x^3-160 x^4-546 x^5-4 x^6+186 x^7+56 x^8+4 x^9+e^{2 x} \left(-2 x+6 x^3+2 x^4-6 x^5-4 x^6+2 x^7+2 x^8\right)+e^x \left(36 x-12 x^2-110 x^3+110 x^5+36 x^6-34 x^7-24 x^8-2 x^9\right)+\left(486 x^2-18 x^3-674 x^4-56 x^5+182 x^6+74 x^7+6 x^8+e^{2 x} \left(6 x^2+2 x^3-8 x^4-6 x^5+2 x^6+4 x^7\right)+e^x \left(-108 x^2-16 x^3+144 x^4+60 x^5-32 x^6-44 x^7-4 x^8\right)\right) \log (x)+\left(-324 x^3-90 x^4-6 x^5+18 x^6+2 x^7+e^{2 x} \left(-4 x^3-2 x^4+2 x^6\right)+e^x \left(72 x^3+28 x^4+2 x^5-20 x^6-2 x^7\right)\right) \log ^2(x)}{-1+3 x^2-3 x^4+x^6} \, dx","Integrate[(-162*x + 108*x^2 + 518*x^3 - 160*x^4 - 546*x^5 - 4*x^6 + 186*x^7 + 56*x^8 + 4*x^9 + E^(2*x)*(-2*x + 6*x^3 + 2*x^4 - 6*x^5 - 4*x^6 + 2*x^7 + 2*x^8) + E^x*(36*x - 12*x^2 - 110*x^3 + 110*x^5 + 36*x^6 - 34*x^7 - 24*x^8 - 2*x^9) + (486*x^2 - 18*x^3 - 674*x^4 - 56*x^5 + 182*x^6 + 74*x^7 + 6*x^8 + E^(2*x)*(6*x^2 + 2*x^3 - 8*x^4 - 6*x^5 + 2*x^6 + 4*x^7) + E^x*(-108*x^2 - 16*x^3 + 144*x^4 + 60*x^5 - 32*x^6 - 44*x^7 - 4*x^8))*Log[x] + (-324*x^3 - 90*x^4 - 6*x^5 + 18*x^6 + 2*x^7 + E^(2*x)*(-4*x^3 - 2*x^4 + 2*x^6) + E^x*(72*x^3 + 28*x^4 + 2*x^5 - 20*x^6 - 2*x^7))*Log[x]^2)/(-1 + 3*x^2 - 3*x^4 + x^6),x]","\frac{x^2 \left(x-e^x+9\right)^2 \left(x^2+x \log (x)-1\right)^2}{\left(x^2-1\right)^2}","\left(x-e^x+9\right)^2 \left(\frac{\log (x)}{1-x^2}-x-\log (x)\right)^2",1,"(x^2*(9 - E^x + x)^2*(-1 + x^2 + x*Log[x])^2)/(-1 + x^2)^2","A",1
1888,1,15,23,0.0266344,"\int \frac{-4 x^{12}+13 x^{12} \log (x)}{5 \log (3) \log ^5(x)} \, dx","Integrate[(-4*x^12 + 13*x^12*Log[x])/(5*Log[3]*Log[x]^5),x]","\frac{x^{13}}{5 \log (3) \log ^4(x)}","\frac{\frac{x^{13}}{\log ^4(x)}+3+\log ^2(\log (4))}{5 \log (3)}",1,"x^13/(5*Log[3]*Log[x]^4)","A",1
1889,1,25,30,0.1474289,"\int \frac{8 \log (5)+e^{\frac{e^{x/8}+16 \log (5)-3 e^x \log (5)}{\log (5)}} \left(-e^{x/8}+24 e^x \log (5)\right)}{8 \log (5)} \, dx","Integrate[(8*Log[5] + E^((E^(x/8) + 16*Log[5] - 3*E^x*Log[5])/Log[5])*(-E^(x/8) + 24*E^x*Log[5]))/(8*Log[5]),x]","x-e^{-3 e^x+\frac{e^{x/8}}{\log (5)}+16}","x-e^{3 \left(6-e^x\right)+\frac{e^{x/8}}{\log (5)}-2}-3",1,"-E^(16 - 3*E^x + E^(x/8)/Log[5]) + x","A",1
1890,1,22,28,0.0088108,"\int \frac{-30-38 x+30 x^2+30 x^3}{15-30 x^2+15 x^4} \, dx","Integrate[(-30 - 38*x + 30*x^2 + 30*x^3)/(15 - 30*x^2 + 15*x^4),x]","\frac{2}{15} \left(\frac{2}{x^2-1}+15 \log (1-x)\right)","\frac{4}{3 \left(5 x^2-5\right)}+\log \left(\frac{\left(x-x^2\right)^2}{x^2}\right)",1,"(2*(2/(-1 + x^2) + 15*Log[1 - x]))/15","A",1
1891,1,13,14,0.0131273,"\int \frac{e^{2 x+\frac{\log \left(x^3\right)}{e^3}} \left(\frac{3 \log \left(x^3\right)}{e^3}+2 x \log \left(x^3\right)\right)}{x \log \left(x^3\right)} \, dx","Integrate[(E^(2*x + Log[x^3]/E^3)*((3*Log[x^3])/E^3 + 2*x*Log[x^3]))/(x*Log[x^3]),x]","e^{2 x} \left(x^3\right)^{\frac{1}{e^3}}","e^{\frac{\log \left(x^3\right)}{e^3}+2 x}",1,"E^(2*x)*(x^3)^E^(-3)","A",1
1892,1,14,17,0.0641465,"\int \frac{-8-7 x+(12+6 x) \log (x)}{-20 x-5 x^2+\left(12 x+3 x^2\right) \log (x)} \, dx","Integrate[(-8 - 7*x + (12 + 6*x)*Log[x])/(-20*x - 5*x^2 + (12*x + 3*x^2)*Log[x]),x]","\log (x)+\log (x+4)+\log (5-3 \log (x))","\log \left(20 x (x+4) \left(\frac{1}{3}-\frac{\log (x)}{5}\right)\right)",1,"Log[x] + Log[4 + x] + Log[5 - 3*Log[x]]","A",1
1893,1,42,31,0.3902467,"\int \frac{8-17 x+10 x^2-4 x^3+e^x \left(x-3 x^2+3 x^3-x^4\right)}{4 x-9 x^2+10 x^3-6 x^4+x^5+e^x \left(x^2-2 x^3+x^4\right)} \, dx","Integrate[(8 - 17*x + 10*x^2 - 4*x^3 + E^x*(x - 3*x^2 + 3*x^3 - x^4))/(4*x - 9*x^2 + 10*x^3 - 6*x^4 + x^5 + E^x*(x^2 - 2*x^3 + x^4)),x]","-\log \left(-x^3-e^x x^2+5 x^2+e^x x-5 x+4\right)+\log (x)+\log ((1-x) x)","\log \left(\frac{x^2}{\frac{4-x}{x-1}+\left(-x-e^x+4\right) x}\right)",1,"Log[x] + Log[(1 - x)*x] - Log[4 - 5*x + E^x*x + 5*x^2 - E^x*x^2 - x^3]","A",1
1894,1,16,19,0.091946,"\int \frac{e^{-x} \left(e^x (1+x)+e^{5 e^{-x} x} \left(-5 x+5 x^2\right)\right)}{x} \, dx","Integrate[(E^x*(1 + x) + E^((5*x)/E^x)*(-5*x + 5*x^2))/(E^x*x),x]","x-e^{5 e^{-x} x}+\log (x)","\log \left(e^x x\right)-e^{5 e^{-x} x}",1,"-E^((5*x)/E^x) + x + Log[x]","A",1
1895,1,20,26,0.1392203,"\int \frac{-392+112 x-8 x^2+e^{\frac{-6 x+x^2}{-7+x}} \left(-42 x^3+14 x^4-x^5\right)}{49 x^3-14 x^4+x^5} \, dx","Integrate[(-392 + 112*x - 8*x^2 + E^((-6*x + x^2)/(-7 + x))*(-42*x^3 + 14*x^4 - x^5))/(49*x^3 - 14*x^4 + x^5),x]","\frac{4}{x^2}-e^{x+\frac{7}{x-7}+1}","\frac{4}{x^2}-e^{x-\frac{x}{7-x}}-\log (18)",1,"-E^(1 + 7/(-7 + x) + x) + 4/x^2","A",1
1896,1,23,24,0.1906654,"\int \frac{-64-32 \log \left(x^2\right)+e^{\frac{e^{x^2}}{x}+x^2} \left(-x+2 x^3\right) \log ^3\left(x^2\right)}{x^3 \log ^3\left(x^2\right)} \, dx","Integrate[(-64 - 32*Log[x^2] + E^(E^x^2/x + x^2)*(-x + 2*x^3)*Log[x^2]^3)/(x^3*Log[x^2]^3),x]","e^{\frac{e^{x^2}}{x}}+\frac{16}{x^2 \log ^2\left(x^2\right)}","e^{\frac{e^{x^2}}{x}}+\frac{16}{x^2 \log ^2\left(x^2\right)}+3",1,"E^(E^x^2/x) + 16/(x^2*Log[x^2]^2)","A",1
1897,1,53,35,0.1244066,"\int \frac{e^{-e^x} \left(983040+819200 x-215040 x^2-460800 x^3-501760 x^4-384000 x^5-180480 x^6-53120 x^7-9600 x^8-960 x^9-40 x^{10}+e^{e^x} \left(-589824-491520 x+129024 x^2+276480 x^3+301056 x^4+230400 x^5+108288 x^6+31872 x^7+5760 x^8+576 x^9+24 x^{10}\right)+e^x \left(737280+1228800 x+1433600 x^2+1274880 x^3+921600 x^4+527360 x^5+245760 x^6+94080 x^7+26560 x^8+4800 x^9+480 x^{10}+20 x^{11}\right)\right)}{4096+12288 x+18432 x^2+17152 x^3+10752 x^4+4608 x^5+1328 x^6+240 x^7+24 x^8+x^9} \, dx","Integrate[(983040 + 819200*x - 215040*x^2 - 460800*x^3 - 501760*x^4 - 384000*x^5 - 180480*x^6 - 53120*x^7 - 9600*x^8 - 960*x^9 - 40*x^10 + E^E^x*(-589824 - 491520*x + 129024*x^2 + 276480*x^3 + 301056*x^4 + 230400*x^5 + 108288*x^6 + 31872*x^7 + 5760*x^8 + 576*x^9 + 24*x^10) + E^x*(737280 + 1228800*x + 1433600*x^2 + 1274880*x^3 + 921600*x^4 + 527360*x^5 + 245760*x^6 + 94080*x^7 + 26560*x^8 + 4800*x^9 + 480*x^10 + 20*x^11))/(E^E^x*(4096 + 12288*x + 18432*x^2 + 17152*x^3 + 10752*x^4 + 4608*x^5 + 1328*x^6 + 240*x^7 + 24*x^8 + x^9)),x]","\frac{4 e^{-e^x} \left(3 e^{e^x}-5\right) \left(x^4+8 x^3+16 x^2+16 x+48\right)^2}{\left(x^3+8 x^2+16 x+16\right)^2}","4 \left(3-5 e^{-e^x}\right) \left(\frac{3 x}{\left(\frac{x^2}{4}+x\right)^2+x}+x\right)^2",1,"(4*(-5 + 3*E^E^x)*(48 + 16*x + 16*x^2 + 8*x^3 + x^4)^2)/(E^E^x*(16 + 16*x + 8*x^2 + x^3)^2)","A",1
1898,1,26,23,0.2832855,"\int e^{-x^4} \left(-78+48 x^3+300 x^4+e^{x^4} (4+51 x)+\left(-3+2 e^{x^4} x+12 x^4\right) \log (x)\right) \, dx","Integrate[(-78 + 48*x^3 + 300*x^4 + E^x^4*(4 + 51*x) + (-3 + 2*E^x^4*x + 12*x^4)*Log[x])/E^x^4,x]","e^{-x^4} \left(e^{x^4} x-3\right) (25 x+x \log (x)+4)","-\left(\left(3 e^{-x^4}-x\right) (x (\log (x)+25)+4)\right)",1,"((-3 + E^x^4*x)*(4 + 25*x + x*Log[x]))/E^x^4","A",1
1899,1,23,23,0.1178246,"\int \frac{2 x^2 \log \left(\frac{2}{x}\right)+e^{\frac{1}{x+\log \left(\frac{3}{\log \left(\frac{2}{x}\right)}\right)}} \left(-1-x \log \left(\frac{2}{x}\right)\right) \log (x)+4 x \log \left(\frac{2}{x}\right) \log \left(\frac{3}{\log \left(\frac{2}{x}\right)}\right)+2 \log \left(\frac{2}{x}\right) \log ^2\left(\frac{3}{\log \left(\frac{2}{x}\right)}\right)}{x^3 \log \left(\frac{2}{x}\right) \log (x)+2 x^2 \log \left(\frac{2}{x}\right) \log (x) \log \left(\frac{3}{\log \left(\frac{2}{x}\right)}\right)+x \log \left(\frac{2}{x}\right) \log (x) \log ^2\left(\frac{3}{\log \left(\frac{2}{x}\right)}\right)} \, dx","Integrate[(2*x^2*Log[2/x] + E^(x + Log[3/Log[2/x]])^(-1)*(-1 - x*Log[2/x])*Log[x] + 4*x*Log[2/x]*Log[3/Log[2/x]] + 2*Log[2/x]*Log[3/Log[2/x]]^2)/(x^3*Log[2/x]*Log[x] + 2*x^2*Log[2/x]*Log[x]*Log[3/Log[2/x]] + x*Log[2/x]*Log[x]*Log[3/Log[2/x]]^2),x]","2 \log (\log (x))+e^{\frac{1}{x+\log \left(\frac{3}{\log \left(\frac{2}{x}\right)}\right)}}","\log \left(\log ^2(x)\right)+e^{\frac{1}{x+\log \left(\frac{3}{\log \left(\frac{2}{x}\right)}\right)}}",1,"E^(x + Log[3/Log[2/x]])^(-1) + 2*Log[Log[x]]","A",1
1900,1,114,29,0.1783389,"\int \frac{e^{\frac{2 (-x+e \log (x))}{e}} \left(-2 x^2+e \left(4 x+x^2\right)\right)+e \left(8 x+4 x^2\right) \log (5)+\left(e^{\frac{2 (-x+e \log (x))}{e}} (-2 x+e (2+x))+4 e x \log (5)\right) \log \left(\frac{1}{4} \left(e^{\frac{2 (-x+e \log (x))}{e}}+4 \log (5)\right)\right)}{2 e^{1+\frac{2 (-x+e \log (x))}{e}} x+8 e x \log (5)} \, dx","Integrate[(E^((2*(-x + E*Log[x]))/E)*(-2*x^2 + E*(4*x + x^2)) + E*(8*x + 4*x^2)*Log[5] + (E^((2*(-x + E*Log[x]))/E)*(-2*x + E*(2 + x)) + 4*E*x*Log[5])*Log[(E^((2*(-x + E*Log[x]))/E) + 4*Log[5])/4])/(2*E^(1 + (2*(-x + E*Log[x]))/E)*x + 8*E*x*Log[5]),x]","\frac{-\frac{2 x^2}{e}-\frac{1}{2} e \log ^2\left(x^2+4 e^{\frac{2 x}{e}} \log (5)\right)+2 x \log \left(x^2+4 e^{\frac{2 x}{e}} \log (5)\right)+\log \left(\frac{1}{4} e^{-\frac{2 x}{e}} x^2+\log (5)\right) \left(e \log \left(x^2+4 e^{\frac{2 x}{e}} \log (5)\right)+(e-2) x\right)+\frac{1}{2} e (x+4) x}{2 e}","\frac{1}{4} \left(\log \left(\frac{1}{4} e^{-\frac{2 x}{e}} x^2+\log (5)\right)+x\right)^2+x",1,"((-2*x^2)/E + (E*x*(4 + x))/2 + 2*x*Log[x^2 + 4*E^((2*x)/E)*Log[5]] - (E*Log[x^2 + 4*E^((2*x)/E)*Log[5]]^2)/2 + Log[x^2/(4*E^((2*x)/E)) + Log[5]]*((-2 + E)*x + E*Log[x^2 + 4*E^((2*x)/E)*Log[5]]))/(2*E)","B",1
1901,1,18,27,0.0362192,"\int \frac{(2+2 x) \log (5)+e^x \left(x+x^2+x \log ^2(5)\right)}{2 x \log (5)} \, dx","Integrate[((2 + 2*x)*Log[5] + E^x*(x + x^2 + x*Log[5]^2))/(2*x*Log[5]),x]","x+\frac{e^x \left(x+\log ^2(5)\right)}{\log (25)}+\log (x)","x+\frac{1}{2} e^x \left(\frac{x}{\log (5)}+\log (5)\right)+\log (x)+3 e-\log (5)",1,"x + (E^x*(x + Log[5]^2))/Log[25] + Log[x]","A",1
1902,1,15,17,0.0437202,"\int \frac{9215-36864 x+27648 x^2+\left(9215-18432 x+9216 x^2\right) \log \left(9215 x-18432 x^2+9216 x^3\right)}{9215-18432 x+9216 x^2} \, dx","Integrate[(9215 - 36864*x + 27648*x^2 + (9215 - 18432*x + 9216*x^2)*Log[9215*x - 18432*x^2 + 9216*x^3])/(9215 - 18432*x + 9216*x^2),x]","x \log \left(x \left(9216 x^2-18432 x+9215\right)\right)","x \log \left(9216 (1-x)^2 x-x\right)",1,"x*Log[x*(9215 - 18432*x + 9216*x^2)]","A",1
1903,1,15,17,0.0135546,"\int \frac{1}{5} \left(-1+e^{\frac{1}{x}} (-5+10 x)\right) \, dx","Integrate[(-1 + E^x^(-1)*(-5 + 10*x))/5,x]","e^{\frac{1}{x}} x^2-\frac{x}{5}","\left(e^{\frac{1}{x}}-\frac{1}{5 x}\right) x^2",1,"-1/5*x + E^x^(-1)*x^2","A",1
1904,1,20,18,0.0073373,"\int \frac{562-280 x+35 x^2}{8+558 x-280 x^2+35 x^3} \, dx","Integrate[(562 - 280*x + 35*x^2)/(8 + 558*x - 280*x^2 + 35*x^3),x]","\log \left(-35 x^2+140 x+2\right)-\log (4-x)","\log \left(30 \left(7 x+\frac{2}{5 (4-x)}\right)\right)",1,"-Log[4 - x] + Log[2 + 140*x - 35*x^2]","A",1
1905,1,24,23,0.2816731,"\int -\frac{e^{25+\frac{1}{5} \left(-1+\log ^{-\frac{e^{25} x}{5+2 x}}(5)\right)} \log ^{-\frac{e^{25} x}{5+2 x}}(5) \log (\log (5))}{25+20 x+4 x^2} \, dx","Integrate[-((E^(25 + (-1 + Log[5]^(-((E^25*x)/(5 + 2*x))))/5)*Log[Log[5]])/((25 + 20*x + 4*x^2)*Log[5]^((E^25*x)/(5 + 2*x)))),x]","e^{\frac{1}{5} \left(\log ^{-\frac{e^{25} x}{2 x+5}}(5)-1\right)}","e^{\frac{1}{5} \left(\log ^{\frac{e^{25} x}{-2 x-5}}(5)-1\right)}",1,"E^((-1 + Log[5]^(-((E^25*x)/(5 + 2*x))))/5)","A",1
1906,1,33,29,0.1772252,"\int \frac{2 x+18 x^2+54 x^3+6 e^{2 x} x^3+54 x^4+e^x \left(2 x+12 x^2+24 x^3+18 x^4\right)+\left(6 x+42 x^2+90 x^3+54 x^4+e^{2 x} \left(2 x+2 x^2+2 x^3\right)+e^x \left(6 x+24 x^2+26 x^3+12 x^4\right)\right) \log (x)+\left(6 x+30 x^2+42 x^3+18 x^4+e^x \left(4 x+8 x^2+6 x^3+2 x^4\right)\right) \log ^2(x)+\left(2 x+6 x^2+6 x^3+2 x^4\right) \log ^3(x)}{1+9 x+27 x^2+27 x^3+\left(3+21 x+45 x^2+27 x^3\right) \log (x)+\left(3+15 x+21 x^2+9 x^3\right) \log ^2(x)+\left(1+3 x+3 x^2+x^3\right) \log ^3(x)} \, dx","Integrate[(2*x + 18*x^2 + 54*x^3 + 6*E^(2*x)*x^3 + 54*x^4 + E^x*(2*x + 12*x^2 + 24*x^3 + 18*x^4) + (6*x + 42*x^2 + 90*x^3 + 54*x^4 + E^(2*x)*(2*x + 2*x^2 + 2*x^3) + E^x*(6*x + 24*x^2 + 26*x^3 + 12*x^4))*Log[x] + (6*x + 30*x^2 + 42*x^3 + 18*x^4 + E^x*(4*x + 8*x^2 + 6*x^3 + 2*x^4))*Log[x]^2 + (2*x + 6*x^2 + 6*x^3 + 2*x^4)*Log[x]^3)/(1 + 9*x + 27*x^2 + 27*x^3 + (3 + 21*x + 45*x^2 + 27*x^3)*Log[x] + (3 + 15*x + 21*x^2 + 9*x^3)*Log[x]^2 + (1 + 3*x + 3*x^2 + x^3)*Log[x]^3),x]","\frac{x^2 \left(3 x+e^x+(x+1) \log (x)+1\right)^2}{(3 x+(x+1) \log (x)+1)^2}","\left(x+\frac{e^x}{\log (x)-\frac{-3 (x+1)-\log (x)+2}{x}}\right)^2",1,"(x^2*(1 + E^x + 3*x + (1 + x)*Log[x])^2)/(1 + 3*x + (1 + x)*Log[x])^2","A",1
1907,1,92,33,0.2435678,"\int \frac{2 e^{5 x}-2 x+e^{4 x} (-6-8 \log (3))-8 \log (3)+e^{3-x} (-2+2 x+8 \log (3)) \log (5)+2 e^{6-2 x} \log ^2(5)+e^x \left(2+4 x-2 x^2+(24-8 x) \log (3)+e^{3-x} (4-6 x-24 \log (3)) \log (5)-6 e^{6-2 x} \log ^2(5)\right)+e^{3 x} \left(8+24 \log (3)-8 e^{3-x} \log (3) \log (5)-2 e^{6-2 x} \log ^2(5)\right)+e^{2 x} \left(-6-2 x+(-32+8 x) \log (3)+e^{3-x} (-2+4 x+24 \log (3)) \log (5)+6 e^{6-2 x} \log ^2(5)\right)}{-1+3 e^x-3 e^{2 x}+e^{3 x}} \, dx","Integrate[(2*E^(5*x) - 2*x + E^(4*x)*(-6 - 8*Log[3]) - 8*Log[3] + E^(3 - x)*(-2 + 2*x + 8*Log[3])*Log[5] + 2*E^(6 - 2*x)*Log[5]^2 + E^x*(2 + 4*x - 2*x^2 + (24 - 8*x)*Log[3] + E^(3 - x)*(4 - 6*x - 24*Log[3])*Log[5] - 6*E^(6 - 2*x)*Log[5]^2) + E^(3*x)*(8 + 24*Log[3] - 8*E^(3 - x)*Log[3]*Log[5] - 2*E^(6 - 2*x)*Log[5]^2) + E^(2*x)*(-6 - 2*x + (-32 + 8*x)*Log[3] + E^(3 - x)*(-2 + 4*x + 24*Log[3])*Log[5] + 6*E^(6 - 2*x)*Log[5]^2))/(-1 + 3*E^x - 3*E^(2*x) + E^(3*x)),x]","\frac{x^2}{\left(e^{-x}-1\right)^2}+x^2+e^{2 x}+e^{6-2 x} \log ^2(5)-\frac{2 e^x x \left(x-1+\log (81)+e^3 \log (5)\right)}{e^x-1}+2 x \left(e^3 \log (5)+\log (81)\right)+2 e^{3-x} \log (5) (x+\log (81))-2 e^x \log (81)","\left(\frac{x}{1-e^x}-e^x+e^{3-x} \log (5)+4 \log (3)\right)^2",1,"E^(2*x) + x^2 + x^2/(-1 + E^(-x))^2 + E^(6 - 2*x)*Log[5]^2 - 2*E^x*Log[81] + 2*E^(3 - x)*Log[5]*(x + Log[81]) + 2*x*(E^3*Log[5] + Log[81]) - (2*E^x*x*(-1 + x + E^3*Log[5] + Log[81]))/(-1 + E^x)","B",1
1908,1,24,22,0.0753746,"\int \left(6+e^{\frac{1}{4} \left(9-8 x-4 x^2+8 x^3+4 x^4\right)} \left(1-2 x-2 x^2+6 x^3+4 x^4\right)\right) \, dx","Integrate[6 + E^((9 - 8*x - 4*x^2 + 8*x^3 + 4*x^4)/4)*(1 - 2*x - 2*x^2 + 6*x^3 + 4*x^4),x]","\left(e^{x^4+2 x^3-(x+2) x+\frac{9}{4}}+6\right) x","\left(e^{\left(-x^2-x+1\right)^2+\frac{5}{4}}+6\right) x",1,"(6 + E^(9/4 + 2*x^3 + x^4 - x*(2 + x)))*x","A",1
1909,1,46,35,0.0675051,"\int \frac{-3600+480 x+164 x^2+e^4 \left(3600+3120 x+76 x^2-284 x^3+4 x^4\right)+e^8 \left(180 x^2+180 x^3+45 x^4\right)}{900 x^2-120 x^3+4 x^4+e^4 \left(-1800 x^2-660 x^3+112 x^4-4 x^5\right)+e^8 \left(900 x^2+780 x^3+109 x^4-26 x^5+x^6\right)} \, dx","Integrate[(-3600 + 480*x + 164*x^2 + E^4*(3600 + 3120*x + 76*x^2 - 284*x^3 + 4*x^4) + E^8*(180*x^2 + 180*x^3 + 45*x^4))/(900*x^2 - 120*x^3 + 4*x^4 + E^4*(-1800*x^2 - 660*x^3 + 112*x^4 - 4*x^5) + E^8*(900*x^2 + 780*x^3 + 109*x^4 - 26*x^5 + x^6)),x]","\frac{-\left(\left(4+45 e^4\right) x^2\right)+\left(142-90 e^4\right) x+120}{x \left(e^4 \left(x^2-13 x-30\right)-2 x+30\right)}","\frac{x}{5-\frac{x}{3}}+\frac{4}{\left(\frac{2}{x+2}-e^4\right) x}+\frac{2}{15}",1,"(120 + (142 - 90*E^4)*x - (4 + 45*E^4)*x^2)/(x*(30 - 2*x + E^4*(-30 - 13*x + x^2)))","A",1
1910,1,221,20,0.1138814,"\int \frac{-32+2 x^4+384 x^5-160 x^7+2048 x^{10}+\left(-8 x+6 x^3+896 x^4-480 x^6+6144 x^9\right) \log (4) \log (5)+\left(-8+6 x^2+512 x^3-480 x^5+6144 x^8\right) \log ^2(4) \log ^2(5)+\left(2 x-160 x^4+2048 x^7\right) \log ^3(4) \log ^3(5)}{x^3+3 x^2 \log (4) \log (5)+3 x \log ^2(4) \log ^2(5)+\log ^3(4) \log ^3(5)} \, dx","Integrate[(-32 + 2*x^4 + 384*x^5 - 160*x^7 + 2048*x^10 + (-8*x + 6*x^3 + 896*x^4 - 480*x^6 + 6144*x^9)*Log[4]*Log[5] + (-8 + 6*x^2 + 512*x^3 - 480*x^5 + 6144*x^8)*Log[4]^2*Log[5]^2 + (2*x - 160*x^4 + 2048*x^7)*Log[4]^3*Log[5]^3)/(x^3 + 3*x^2*Log[4]*Log[5] + 3*x*Log[4]^2*Log[5]^2 + Log[4]^3*Log[5]^3),x]","\frac{256 x^{10}+512 x^9 \log (4) \log (5)+256 x^8 \log ^2(4) \log ^2(5)-32 x^7-64 x^6 \log (4) \log (5)-32 x^5 \left(\log ^2(4) \log ^2(5)-4\right)+x^4 (1+128 \log (4) \log (5))+x^3 \log (5) \log (16)-32 x^2 \log ^3(4) \log ^3(5) \left(-16+8 \log ^5(4) \log ^5(5)+\log ^2(4) \log ^2(5)\right)-2 x \log (4) \log (5) \left(-4+256 \log ^8(4) \log ^8(5)+32 \log ^5(4) \log ^5(5)-512 \log ^3(4) \log ^3(5)+\log ^2(4) \log ^2(5)\right)+16-256 \log ^{10}(4) \log ^{10}(5)-32 \log ^7(4) \log ^7(5)+512 \log ^5(4) \log ^5(5)-\log ^4(4) \log ^4(5)+8 \log ^2(4) \log ^2(5)}{(x+\log (4) \log (5))^2}","\left(-16 x^4+x-\frac{4}{x+\log (4) \log (5)}\right)^2",1,"(16 - 32*x^7 + 256*x^10 - 64*x^6*Log[4]*Log[5] + 512*x^9*Log[4]*Log[5] + 8*Log[4]^2*Log[5]^2 + 256*x^8*Log[4]^2*Log[5]^2 - Log[4]^4*Log[5]^4 + 512*Log[4]^5*Log[5]^5 - 32*Log[4]^7*Log[5]^7 - 256*Log[4]^10*Log[5]^10 + x^4*(1 + 128*Log[4]*Log[5]) - 32*x^5*(-4 + Log[4]^2*Log[5]^2) - 32*x^2*Log[4]^3*Log[5]^3*(-16 + Log[4]^2*Log[5]^2 + 8*Log[4]^5*Log[5]^5) - 2*x*Log[4]*Log[5]*(-4 + Log[4]^2*Log[5]^2 - 512*Log[4]^3*Log[5]^3 + 32*Log[4]^5*Log[5]^5 + 256*Log[4]^8*Log[5]^8) + x^3*Log[5]*Log[16])/(x + Log[4]*Log[5])^2","B",1
1911,1,28,28,0.1324867,"\int \frac{2^{\frac{1}{4+e^{3-x}+i \pi +x+\log (5-\log (5))}} e^{2^{\frac{1}{4+e^{3-x}+i \pi +x+\log (5-\log (5))}}} \left(-\log (2)+e^{3-x} \log (2)\right)}{16+e^{6-2 x}+8 x+x^2+e^{3-x} (8+2 x)+\left(8+2 e^{3-x}+2 x\right) (i \pi +\log (5-\log (5)))+(i \pi +\log (5-\log (5)))^2} \, dx","Integrate[(2^(4 + E^(3 - x) + I*Pi + x + Log[5 - Log[5]])^(-1)*E^2^(4 + E^(3 - x) + I*Pi + x + Log[5 - Log[5]])^(-1)*(-Log[2] + E^(3 - x)*Log[2]))/(16 + E^(6 - 2*x) + 8*x + x^2 + E^(3 - x)*(8 + 2*x) + (8 + 2*E^(3 - x) + 2*x)*(I*Pi + Log[5 - Log[5]]) + (I*Pi + Log[5 - Log[5]])^2),x]","e^{2^{\frac{1}{x+e^{3-x}+i \pi +4+\log (5-\log (5))}}}","e^{2^{\frac{1}{x+e^{3-x}+i \pi +4+\log (5-\log (5))}}}",1,"E^2^(4 + E^(3 - x) + I*Pi + x + Log[5 - Log[5]])^(-1)","A",1
1912,1,27,25,0.0454399,"\int \frac{-5 e^{2209}+e^{1+x} \left(-10 x-5 x^2\right)+\left(1-e^{2209} x-e^{1+x} x^2\right) \log ^2\left(1-e^{2209} x-e^{1+x} x^2\right)}{\left(-1+e^{2209} x+e^{1+x} x^2\right) \log ^2\left(1-e^{2209} x-e^{1+x} x^2\right)} \, dx","Integrate[(-5*E^2209 + E^(1 + x)*(-10*x - 5*x^2) + (1 - E^2209*x - E^(1 + x)*x^2)*Log[1 - E^2209*x - E^(1 + x)*x^2]^2)/((-1 + E^2209*x + E^(1 + x)*x^2)*Log[1 - E^2209*x - E^(1 + x)*x^2]^2),x]","\frac{5}{\log \left(-e^{x+1} x^2-e^{2209} x+1\right)}-x","\frac{5}{\log \left(1-x \left(e^{x+1} x+e^{2209}\right)\right)}-x",1,"-x + 5/Log[1 - E^2209*x - E^(1 + x)*x^2]","A",1
1913,1,30,33,0.0743022,"\int \frac{e^x \left(-60 x^2+24 x^3\right) \log ^2(x)+e^x \left(24 x^2-12 x^3\right) \log ^3(x)+e^{\frac{5-3 x^3 \log (x)}{3 x^2 \log (x)}} \left(20 e^x+40 e^x \log (x)+24 e^x x^2 \log ^2(x)\right)}{3 x^5 \log ^2(x)} \, dx","Integrate[(E^x*(-60*x^2 + 24*x^3)*Log[x]^2 + E^x*(24*x^2 - 12*x^3)*Log[x]^3 + E^((5 - 3*x^3*Log[x])/(3*x^2*Log[x]))*(20*E^x + 40*E^x*Log[x] + 24*E^x*x^2*Log[x]^2))/(3*x^5*Log[x]^2),x]","-\frac{4 \left(e^{\frac{5}{3 x^2 \log (x)}}-2 e^x+e^x \log (x)\right)}{x^2}","\frac{4 e^x \left(-e^{\frac{5}{3 x^2 \log (x)}-x}-\log (x)+2\right)}{x^2}",1,"(-4*(-2*E^x + E^(5/(3*x^2*Log[x])) + E^x*Log[x]))/x^2","A",1
1914,1,17,24,0.008576,"\int \frac{\left(37500-5625 x-4375 x^2\right) \log (6)}{-25000 x^5+25000 x^6-10000 x^7+2000 x^8-200 x^9+8 x^{10}} \, dx","Integrate[((37500 - 5625*x - 4375*x^2)*Log[6])/(-25000*x^5 + 25000*x^6 - 10000*x^7 + 2000*x^8 - 200*x^9 + 8*x^10),x]","\frac{625 (x+3) \log (6)}{8 (x-5)^4 x^4}","\frac{(x+3) \log (6)}{8 \left(\frac{x^2}{5}-x\right)^4}+2",1,"(625*(3 + x)*Log[6])/(8*(-5 + x)^4*x^4)","A",1
1915,1,16,19,0.0748037,"\int \frac{-8 x-8 x^2-2 x^3+\left(4 x+6 x^2+2 x^3\right) \log (x)}{\log ^5(x)} \, dx","Integrate[(-8*x - 8*x^2 - 2*x^3 + (4*x + 6*x^2 + 2*x^3)*Log[x])/Log[x]^5,x]","\frac{x^2 (x+2)^2}{2 \log ^4(x)}","\log \left(e^{\frac{x^2 (x+2)^2}{2 \log ^4(x)}}\right)",1,"(x^2*(2 + x)^2)/(2*Log[x]^4)","A",1
1916,1,20,23,0.0140017,"\int \frac{\sqrt[3]{7} \left(e^x (4-4 x)-12 x^2\right)}{3 x^2} \, dx","Integrate[(7^(1/3)*(E^x*(4 - 4*x) - 12*x^2))/(3*x^2),x]","-\frac{4}{3} \sqrt[3]{7} \left(3 x+\frac{e^x}{x}\right)","\frac{4}{3} \sqrt[3]{7} \left(-\frac{e^x}{x^2}+\frac{1}{x}-3\right) x",1,"(-4*7^(1/3)*(E^x/x + 3*x))/3","A",1
1917,1,635,28,7.1544522,"\int \frac{1}{625} \left(38416+724416 x+3677352 x^2+6497568 x^3+1502805 x^4-3480840 x^5+1094450 x^6-132000 x^7+5625 x^8+\left(362208+2451568 x+4873176 x^2+1202244 x^3-2900700 x^4+938100 x^5-115500 x^6+5000 x^7\right) \log (2)+e^{4 e^x x} \left(16+320 x+1800 x^2+4000 x^3+3125 x^4+\left(160+1200 x+3000 x^2+2500 x^3\right) \log (2)+e^x \left(64 x+704 x^2+3040 x^3+6400 x^4+6500 x^5+2500 x^6+\left(64+704 x+3040 x^2+6400 x^3+6500 x^4+2500 x^5\right) \log (2)\right)\right)+e^{3 e^x x} \left(-448-8832 x-48480 x^2-102400 x^3-67500 x^4+15000 x^5+\left(-4416-32320 x-76800 x^2-54000 x^3+12500 x^4\right) \log (2)+e^x \left(-1344 x-14592 x^2-61728 x^3-125280 x^4-117300 x^5-33000 x^6+7500 x^7+\left(-1344-14592 x-61728 x^2-125280 x^3-117300 x^4-33000 x^5+7500 x^6\right) \log (2)\right)\right)+e^{2 e^x x} \left(4704+91392 x+489168 x^2+978240 x^3+516750 x^4-279000 x^5+26250 x^6+\left(45696+326112 x+733680 x^2+413400 x^3-232500 x^4+22500 x^5\right) \log (2)+e^x \left(9408 x+100800 x^2+417504 x^3+815232 x^4+695820 x^5+113700 x^6-85500 x^7+7500 x^8+\left(9408+100800 x+417504 x^2+815232 x^3+695820 x^4+113700 x^5-85500 x^6+7500 x^7\right) \log (2)\right)\right)+e^{e^x x} \left(-21952-420224 x-2191392 x^2-4130304 x^3-1596300 x^4+1715400 x^5-339500 x^6+20000 x^7+\left(-210112-1460928 x-3097728 x^2-1277040 x^3+1429500 x^4-291000 x^5+17500 x^6\right) \log (2)+e^x \left(-21952 x-232064 x^2-940576 x^3-1763040 x^4-1351836 x^5-33360 x^6+237400 x^7-46000 x^8+2500 x^9+\left(-21952-232064 x-940576 x^2-1763040 x^3-1351836 x^4-33360 x^5+237400 x^6-46000 x^7+2500 x^8\right) \log (2)\right)\right)\right) \, dx","Integrate[(38416 + 724416*x + 3677352*x^2 + 6497568*x^3 + 1502805*x^4 - 3480840*x^5 + 1094450*x^6 - 132000*x^7 + 5625*x^8 + (362208 + 2451568*x + 4873176*x^2 + 1202244*x^3 - 2900700*x^4 + 938100*x^5 - 115500*x^6 + 5000*x^7)*Log[2] + E^(4*E^x*x)*(16 + 320*x + 1800*x^2 + 4000*x^3 + 3125*x^4 + (160 + 1200*x + 3000*x^2 + 2500*x^3)*Log[2] + E^x*(64*x + 704*x^2 + 3040*x^3 + 6400*x^4 + 6500*x^5 + 2500*x^6 + (64 + 704*x + 3040*x^2 + 6400*x^3 + 6500*x^4 + 2500*x^5)*Log[2])) + E^(3*E^x*x)*(-448 - 8832*x - 48480*x^2 - 102400*x^3 - 67500*x^4 + 15000*x^5 + (-4416 - 32320*x - 76800*x^2 - 54000*x^3 + 12500*x^4)*Log[2] + E^x*(-1344*x - 14592*x^2 - 61728*x^3 - 125280*x^4 - 117300*x^5 - 33000*x^6 + 7500*x^7 + (-1344 - 14592*x - 61728*x^2 - 125280*x^3 - 117300*x^4 - 33000*x^5 + 7500*x^6)*Log[2])) + E^(2*E^x*x)*(4704 + 91392*x + 489168*x^2 + 978240*x^3 + 516750*x^4 - 279000*x^5 + 26250*x^6 + (45696 + 326112*x + 733680*x^2 + 413400*x^3 - 232500*x^4 + 22500*x^5)*Log[2] + E^x*(9408*x + 100800*x^2 + 417504*x^3 + 815232*x^4 + 695820*x^5 + 113700*x^6 - 85500*x^7 + 7500*x^8 + (9408 + 100800*x + 417504*x^2 + 815232*x^3 + 695820*x^4 + 113700*x^5 - 85500*x^6 + 7500*x^7)*Log[2])) + E^(E^x*x)*(-21952 - 420224*x - 2191392*x^2 - 4130304*x^3 - 1596300*x^4 + 1715400*x^5 - 339500*x^6 + 20000*x^7 + (-210112 - 1460928*x - 3097728*x^2 - 1277040*x^3 + 1429500*x^4 - 291000*x^5 + 17500*x^6)*Log[2] + E^x*(-21952*x - 232064*x^2 - 940576*x^3 - 1763040*x^4 - 1351836*x^5 - 33360*x^6 + 237400*x^7 - 46000*x^8 + 2500*x^9 + (-21952 - 232064*x - 940576*x^2 - 1763040*x^3 - 1351836*x^4 - 33360*x^5 + 237400*x^6 - 46000*x^7 + 2500*x^8)*Log[2])))/625,x]","\frac{1}{625} \int \left(5625 x^8-132000 x^7+1094450 x^6-3480840 x^5+1502805 x^4+6497568 x^3+3677352 x^2+e^{4 e^x x} \left(3125 x^4+4000 x^3+1800 x^2+\left(2500 x^3+3000 x^2+1200 x+160\right) \log (2)+e^x \left(2500 x^6+6500 x^5+6400 x^4+3040 x^3+704 x^2+\left(2500 x^5+6500 x^4+6400 x^3+3040 x^2+704 x+64\right) \log (2)+64 x\right)+320 x+16\right)+e^{3 e^x x} \left(15000 x^5-67500 x^4-102400 x^3-48480 x^2+\left(12500 x^4-54000 x^3-76800 x^2-32320 x-4416\right) \log (2)+e^x \left(7500 x^7-33000 x^6-117300 x^5-125280 x^4-61728 x^3-14592 x^2+\left(7500 x^6-33000 x^5-117300 x^4-125280 x^3-61728 x^2-14592 x-1344\right) \log (2)-1344 x\right)-8832 x-448\right)+\left(5000 x^7-115500 x^6+938100 x^5-2900700 x^4+1202244 x^3+4873176 x^2+2451568 x+362208\right) \log (2)+e^{2 e^x x} \left(26250 x^6-279000 x^5+516750 x^4+978240 x^3+489168 x^2+\left(22500 x^5-232500 x^4+413400 x^3+733680 x^2+326112 x+45696\right) \log (2)+e^x \left(7500 x^8-85500 x^7+113700 x^6+695820 x^5+815232 x^4+417504 x^3+100800 x^2+\left(7500 x^7-85500 x^6+113700 x^5+695820 x^4+815232 x^3+417504 x^2+100800 x+9408\right) \log (2)+9408 x\right)+91392 x+4704\right)+e^{e^x x} \left(20000 x^7-339500 x^6+1715400 x^5-1596300 x^4-4130304 x^3-2191392 x^2+\left(17500 x^6-291000 x^5+1429500 x^4-1277040 x^3-3097728 x^2-1460928 x-210112\right) \log (2)+e^x \left(2500 x^9-46000 x^8+237400 x^7-33360 x^6-1351836 x^5-1763040 x^4-940576 x^3-232064 x^2+\left(2500 x^8-46000 x^7+237400 x^6-33360 x^5-1351836 x^4-1763040 x^3-940576 x^2-232064 x-21952\right) \log (2)-21952 x\right)-420224 x-21952\right)+724416 x+38416\right) \, dx","\left(-x-e^{e^x x}+7\right)^4 \left(x+\frac{2}{5}\right)^4 (x+\log (2))",1,"Integrate[38416 + 724416*x + 3677352*x^2 + 6497568*x^3 + 1502805*x^4 - 3480840*x^5 + 1094450*x^6 - 132000*x^7 + 5625*x^8 + (362208 + 2451568*x + 4873176*x^2 + 1202244*x^3 - 2900700*x^4 + 938100*x^5 - 115500*x^6 + 5000*x^7)*Log[2] + E^(4*E^x*x)*(16 + 320*x + 1800*x^2 + 4000*x^3 + 3125*x^4 + (160 + 1200*x + 3000*x^2 + 2500*x^3)*Log[2] + E^x*(64*x + 704*x^2 + 3040*x^3 + 6400*x^4 + 6500*x^5 + 2500*x^6 + (64 + 704*x + 3040*x^2 + 6400*x^3 + 6500*x^4 + 2500*x^5)*Log[2])) + E^(3*E^x*x)*(-448 - 8832*x - 48480*x^2 - 102400*x^3 - 67500*x^4 + 15000*x^5 + (-4416 - 32320*x - 76800*x^2 - 54000*x^3 + 12500*x^4)*Log[2] + E^x*(-1344*x - 14592*x^2 - 61728*x^3 - 125280*x^4 - 117300*x^5 - 33000*x^6 + 7500*x^7 + (-1344 - 14592*x - 61728*x^2 - 125280*x^3 - 117300*x^4 - 33000*x^5 + 7500*x^6)*Log[2])) + E^(2*E^x*x)*(4704 + 91392*x + 489168*x^2 + 978240*x^3 + 516750*x^4 - 279000*x^5 + 26250*x^6 + (45696 + 326112*x + 733680*x^2 + 413400*x^3 - 232500*x^4 + 22500*x^5)*Log[2] + E^x*(9408*x + 100800*x^2 + 417504*x^3 + 815232*x^4 + 695820*x^5 + 113700*x^6 - 85500*x^7 + 7500*x^8 + (9408 + 100800*x + 417504*x^2 + 815232*x^3 + 695820*x^4 + 113700*x^5 - 85500*x^6 + 7500*x^7)*Log[2])) + E^(E^x*x)*(-21952 - 420224*x - 2191392*x^2 - 4130304*x^3 - 1596300*x^4 + 1715400*x^5 - 339500*x^6 + 20000*x^7 + (-210112 - 1460928*x - 3097728*x^2 - 1277040*x^3 + 1429500*x^4 - 291000*x^5 + 17500*x^6)*Log[2] + E^x*(-21952*x - 232064*x^2 - 940576*x^3 - 1763040*x^4 - 1351836*x^5 - 33360*x^6 + 237400*x^7 - 46000*x^8 + 2500*x^9 + (-21952 - 232064*x - 940576*x^2 - 1763040*x^3 - 1351836*x^4 - 33360*x^5 + 237400*x^6 - 46000*x^7 + 2500*x^8)*Log[2])), x]/625","F",1
1918,1,235,29,0.1672691,"\int \frac{-78732+769826 x+1168020 x^2+707476 x^3+231100 x^4+44308 x^5+5000 x^6+308 x^7+8 x^8+\left(8748-89100 x-93804 x^2-37092 x^3-7092 x^4-660 x^5-24 x^6\right) \log \left(\frac{x}{3}\right)+\left(-324+3432 x+2088 x^2+396 x^3+24 x^4\right) \log ^2\left(\frac{x}{3}\right)+\left(4-44 x-8 x^2\right) \log ^3\left(\frac{x}{3}\right)+\left(-34992+356400 x+375216 x^2+148368 x^3+28368 x^4+2640 x^5+96 x^6+\left(2592-27456 x-16704 x^2-3168 x^3-192 x^4\right) \log \left(\frac{x}{3}\right)+\left(-48+528 x+96 x^2\right) \log ^2\left(\frac{x}{3}\right)\right) \log (\log (3))+\left(-5184+54912 x+33408 x^2+6336 x^3+384 x^4+\left(192-2112 x-384 x^2\right) \log \left(\frac{x}{3}\right)\right) \log ^2(\log (3))+\left(-256+2816 x+512 x^2\right) \log ^3(\log (3))}{x} \, dx","Integrate[(-78732 + 769826*x + 1168020*x^2 + 707476*x^3 + 231100*x^4 + 44308*x^5 + 5000*x^6 + 308*x^7 + 8*x^8 + (8748 - 89100*x - 93804*x^2 - 37092*x^3 - 7092*x^4 - 660*x^5 - 24*x^6)*Log[x/3] + (-324 + 3432*x + 2088*x^2 + 396*x^3 + 24*x^4)*Log[x/3]^2 + (4 - 44*x - 8*x^2)*Log[x/3]^3 + (-34992 + 356400*x + 375216*x^2 + 148368*x^3 + 28368*x^4 + 2640*x^5 + 96*x^6 + (2592 - 27456*x - 16704*x^2 - 3168*x^3 - 192*x^4)*Log[x/3] + (-48 + 528*x + 96*x^2)*Log[x/3]^2)*Log[Log[3]] + (-5184 + 54912*x + 33408*x^2 + 6336*x^3 + 384*x^4 + (192 - 2112*x - 384*x^2)*Log[x/3])*Log[Log[3]]^2 + (-256 + 2816*x + 512*x^2)*Log[Log[3]]^3)/x,x]","-4 \left(x^2+11 x+27+4 \log (\log (3))\right) \log ^3\left(\frac{x}{3}\right)+6 \left(x^2+11 x+27+4 \log (\log (3))\right)^2 \log ^2\left(\frac{x}{3}\right)-4 x (x+11) \left(x^4+22 x^3+2 x^2 (101+6 \log (\log (3)))+33 x (27+4 \log (\log (3)))+3 (27+4 \log (\log (3)))^2\right) \log \left(\frac{x}{3}\right)+x \left(x^7+44 x^6+2 x^5 (417+8 \log (\log (3)))+88 x^4 (101+6 \log (\log (3)))+x^3 \left(58219+96 \log ^2(\log (3))+7104 \log (\log (3))\right)+88 x^2 \left(2727+24 \log ^2(\log (3))+566 \log (\log (3))\right)+2 x (27+4 \log (\log (3)))^2 (417+8 \log (\log (3)))+866054+2816 \log ^3(\log (3))+57024 \log ^2(\log (3))+384912 \log (\log (3))\right)+\log ^4\left(\frac{x}{3}\right)-4 (27+4 \log (\log (3)))^3 \log (x)","2 x+\left(-(x+5)^2-x+\log \left(\frac{x}{3}\right)-2-4 \log (\log (3))\right)^4",1,"Log[x/3]^4 - 4*Log[x]*(27 + 4*Log[Log[3]])^3 - 4*Log[x/3]^3*(27 + 11*x + x^2 + 4*Log[Log[3]]) + 6*Log[x/3]^2*(27 + 11*x + x^2 + 4*Log[Log[3]])^2 - 4*x*(11 + x)*Log[x/3]*(22*x^3 + x^4 + 33*x*(27 + 4*Log[Log[3]]) + 3*(27 + 4*Log[Log[3]])^2 + 2*x^2*(101 + 6*Log[Log[3]])) + x*(866054 + 44*x^6 + x^7 + 384912*Log[Log[3]] + 57024*Log[Log[3]]^2 + 2816*Log[Log[3]]^3 + 88*x^4*(101 + 6*Log[Log[3]]) + 2*x^5*(417 + 8*Log[Log[3]]) + 2*x*(27 + 4*Log[Log[3]])^2*(417 + 8*Log[Log[3]]) + 88*x^2*(2727 + 566*Log[Log[3]] + 24*Log[Log[3]]^2) + x^3*(58219 + 7104*Log[Log[3]] + 96*Log[Log[3]]^2))","B",1
1919,1,11,24,0.0011451,"\int \frac{-3+4 \log (4)}{2 x^2} \, dx","Integrate[(-3 + 4*Log[4])/(2*x^2),x]","-\frac{\log (256)-3}{2 x}","\frac{3}{2 x}+2 \left(\frac{2}{\log ^2(2)}-\frac{\log (4)}{x}\right)",1,"-1/2*(-3 + Log[256])/x","A",1
1920,1,27,34,0.0378981,"\int \frac{-540+e^2 (45-9 x)-81 x+81 x^2+(108-27 x) \log (5)}{-3375 x^3-2025 x^4-405 x^5-27 x^6+e^6 \left(1+3 x+3 x^2+x^3\right)+e^4 \left(-45 x-99 x^2-63 x^3-9 x^4\right)+e^2 \left(675 x^2+945 x^3+297 x^4+27 x^5\right)+\left(2025 x^3+810 x^4+81 x^5+e^4 \left(9 x+18 x^2+9 x^3\right)+e^2 \left(-270 x^2-324 x^3-54 x^4\right)\right) \log (5)+\left(-405 x^3-81 x^4+e^2 \left(27 x^2+27 x^3\right)\right) \log ^2(5)+27 x^3 \log ^3(5)} \, dx","Integrate[(-540 + E^2*(45 - 9*x) - 81*x + 81*x^2 + (108 - 27*x)*Log[5])/(-3375*x^3 - 2025*x^4 - 405*x^5 - 27*x^6 + E^6*(1 + 3*x + 3*x^2 + x^3) + E^4*(-45*x - 99*x^2 - 63*x^3 - 9*x^4) + E^2*(675*x^2 + 945*x^3 + 297*x^4 + 27*x^5) + (2025*x^3 + 810*x^4 + 81*x^5 + E^4*(9*x + 18*x^2 + 9*x^3) + E^2*(-270*x^2 - 324*x^3 - 54*x^4))*Log[5] + (-405*x^3 - 81*x^4 + E^2*(27*x^2 + 27*x^3))*Log[5]^2 + 27*x^3*Log[5]^3),x]","-\frac{9 (2-x)}{\left(e^2 (x+1)-3 x (x+5-\log (5))\right)^2}","\frac{x-2}{x^2 \left(\frac{e^2 \left(\frac{2-x}{3}-1\right)}{x}+x+5-\log (5)\right)^2}",1,"(-9*(2 - x))/(E^2*(1 + x) - 3*x*(5 + x - Log[5]))^2","A",1
1921,1,16,18,0.2952289,"\int \exp \left(-3+e^{e^{-3+x^2} \left(3+e^{3-x^2} (5+x)\right)}+x^2+e^{-3+x^2} \left(3+e^{3-x^2} (5+x)\right)\right) \left(e^{3-x^2}+6 x\right) \, dx","Integrate[E^(-3 + E^(E^(-3 + x^2)*(3 + E^(3 - x^2)*(5 + x))) + x^2 + E^(-3 + x^2)*(3 + E^(3 - x^2)*(5 + x)))*(E^(3 - x^2) + 6*x),x]","e^{e^{3 e^{x^2-3}+x+5}}","e^{e^{3 e^{x^2-3}+x+5}}-2",1,"E^E^(5 + 3*E^(-3 + x^2) + x)","A",1
1922,1,31,24,0.0127535,"\int \frac{4 x^4+2 x^5+e^3 \left(-384 x-64 x^2\right)+(576+128 x) \log (2)}{x^4} \, dx","Integrate[(4*x^4 + 2*x^5 + E^3*(-384*x - 64*x^2) + (576 + 128*x)*Log[2])/x^4,x]","\frac{x^5+4 x^4+64 e^3 (x+3) x-64 x \log (2)-192 \log (2)}{x^3}","(x+3) \left(\frac{64 \left(e^3-\frac{\log (2)}{x}\right)}{x^2}+x\right)+x",1,"(4*x^4 + x^5 + 64*E^3*x*(3 + x) - 192*Log[2] - 64*x*Log[2])/x^3","A",1
1923,1,24,24,0.0927676,"\int \frac{-6 x-2 x^2+x^3+e^{\frac{1}{x}} \left(2+7 x+2 x^2-x^3\right)}{-2 x^2-x^3+e^{\frac{1}{x}} \left(2 x^2+x^3\right)} \, dx","Integrate[(-6*x - 2*x^2 + x^3 + E^x^(-1)*(2 + 7*x + 2*x^2 - x^3))/(-2*x^2 - x^3 + E^x^(-1)*(2*x^2 + x^3)),x]","-x-\log \left(1-e^{\frac{1}{x}}\right)+3 \log (x)+\log (x+2)","\log \left(\frac{x^3 (x+2)}{162 \left(e^{\frac{1}{x}}-1\right)}\right)-x",1,"-x - Log[1 - E^x^(-1)] + 3*Log[x] + Log[2 + x]","A",1
1924,1,27,29,0.0095884,"\int \frac{32+16 x+4 x^2+\left(32+32 x+12 x^2\right) \log (x)}{5 \log (5)} \, dx","Integrate[(32 + 16*x + 4*x^2 + (32 + 32*x + 12*x^2)*Log[x])/(5*Log[5]),x]","\frac{4 \left(x^3 \log (x)+4 x^2 \log (x)+8 x \log (x)\right)}{5 \log (5)}","\frac{4 x^2 \left(\frac{x^2+4}{x}+\frac{4}{x}+4\right) \log (x)}{5 \log (5)}",1,"(4*(8*x*Log[x] + 4*x^2*Log[x] + x^3*Log[x]))/(5*Log[5])","A",1
1925,1,18,18,0.0498943,"\int \frac{2 x+2 x^2+10 x^3+2 x^4+\left(-2 x+2 x^2\right) \log (x)+2 x^3 \log (4 x)+\left(2+2 x+10 x^2+2 x^3+(-2+2 x) \log (x)+2 x^2 \log (4 x)\right) \log \left(\frac{4 x+x^2+\log (x)+x \log (4 x)}{x}\right)}{4 x^2+x^3+x \log (x)+x^2 \log (4 x)} \, dx","Integrate[(2*x + 2*x^2 + 10*x^3 + 2*x^4 + (-2*x + 2*x^2)*Log[x] + 2*x^3*Log[4*x] + (2 + 2*x + 10*x^2 + 2*x^3 + (-2 + 2*x)*Log[x] + 2*x^2*Log[4*x])*Log[(4*x + x^2 + Log[x] + x*Log[4*x])/x])/(4*x^2 + x^3 + x*Log[x] + x^2*Log[4*x]),x]","\left(x+\log \left(x+\log (4 x)+\frac{\log (x)}{x}+4\right)\right)^2","\left(x+\log \left(x+\log (4 x)+\frac{\log (x)}{x}+4\right)\right)^2",1,"(x + Log[4 + x + Log[x]/x + Log[4*x]])^2","A",1
1926,1,117,20,0.1032168,"\int \frac{8+12 x^2+e^{2+x} \left(2+2 x^2\right)+\left(-8 x-2 e^{2+x} x\right) \log \left(\frac{4+e^{2+x}}{e^2}\right)}{4+e^{2+x}} \, dx","Integrate[(8 + 12*x^2 + E^(2 + x)*(2 + 2*x^2) + (-8*x - 2*E^(2 + x)*x)*Log[(4 + E^(2 + x))/E^2])/(4 + E^(2 + x)),x]","2 \left(x \text{Li}_2\left(-4 e^{-x-2}\right)+x \text{Li}_2\left(-\frac{e^{x+2}}{4}\right)+\text{Li}_3\left(-4 e^{-x-2}\right)-\text{Li}_3\left(-\frac{e^{x+2}}{4}\right)+\frac{x^3}{3}+x^2-\frac{1}{2} x^2 \log \left(4 e^{-x-2}+1\right)+\frac{1}{2} x^2 \log \left(\frac{e^{x+2}}{4}+1\right)-\frac{1}{2} x^2 \log \left(e^{x+2}+4\right)+x\right)","x \left(x \left(x-\log \left(e^x+\frac{4}{e^2}\right)\right)+2\right)",1,"2*(x + x^2 + x^3/3 - (x^2*Log[1 + 4*E^(-2 - x)])/2 + (x^2*Log[1 + E^(2 + x)/4])/2 - (x^2*Log[4 + E^(2 + x)])/2 + x*PolyLog[2, -4*E^(-2 - x)] + x*PolyLog[2, -1/4*E^(2 + x)] + PolyLog[3, -4*E^(-2 - x)] - PolyLog[3, -1/4*E^(2 + x)])","C",1
1927,1,34,28,0.1439293,"\int \frac{e^{-3+e^{e^x}} \left(e^x \left(-4 x-4 x^2\right) \log (4)+e^{e^x} \left(8 e^x x \log (4)-4 e^{2 x} x^2 \log (4)\right)\right)+e^{-6+2 e^{e^x}} \left(-8 \log (4)+4 e^x x \log (4)+e^x \left(-4 x-4 x^2\right) \log (4) \log (x)\right)}{x+2 e^{-3+e^{e^x}} x \log (x)+e^{-6+2 e^{e^x}} x \log ^2(x)} \, dx","Integrate[(E^(-3 + E^E^x)*(E^x*(-4*x - 4*x^2)*Log[4] + E^E^x*(8*E^x*x*Log[4] - 4*E^(2*x)*x^2*Log[4])) + E^(-6 + 2*E^E^x)*(-8*Log[4] + 4*E^x*x*Log[4] + E^x*(-4*x - 4*x^2)*Log[4]*Log[x]))/(x + 2*E^(-3 + E^E^x)*x*Log[x] + E^(-6 + 2*E^E^x)*x*Log[x]^2),x]","-\frac{4 e^{e^{e^x}} \left(e^x x-2\right) \log (4)}{e^{e^{e^x}} \log (x)+e^3}","\frac{4 \left(2-e^x x\right) \log (4)}{e^{3-e^{e^x}}+\log (x)}",1,"(-4*E^E^E^x*(-2 + E^x*x)*Log[4])/(E^3 + E^E^E^x*Log[x])","A",1
1928,1,12,12,0.0073682,"\int \frac{e^{\frac{e+4 x^2}{x^2}} \left(-6 e+3 x^2\right)}{x^2} \, dx","Integrate[(E^((E + 4*x^2)/x^2)*(-6*E + 3*x^2))/x^2,x]","3 e^{\frac{e}{x^2}+4} x","3 e^{\frac{e}{x^2}+4} x",1,"3*E^(4 + E/x^2)*x","A",1
1929,1,17,19,0.037762,"\int \frac{e^{\frac{2 \left(-7+e^{10}-4 x\right)}{x}} \left(14-2 e^{10}\right)+x^2}{x^2} \, dx","Integrate[(E^((2*(-7 + E^10 - 4*x))/x)*(14 - 2*E^10) + x^2)/x^2,x]","x+e^{\frac{2 \left(-4 x+e^{10}-7\right)}{x}}","x+e^{-\frac{2 \left(7-e^{10}\right)}{x}-8}+5",1,"E^((2*(-7 + E^10 - 4*x))/x) + x","A",1
1930,1,32,33,1.2509632,"\int \frac{9 x^2-6 x^3+x^4+\exp \left(\frac{\exp \left(\frac{-3 e^x+e^3 (9-3 x)-9 x+3 x^2}{-3+x}\right)}{x}+\frac{-3 e^x+e^3 (9-3 x)-9 x+3 x^2}{-3+x}\right) \left(-27+99 x-57 x^2+9 x^3+e^x \left(36 x-9 x^2\right)\right)}{9 x^3-6 x^4+x^5+\exp \left(\frac{\exp \left(\frac{-3 e^x+e^3 (9-3 x)-9 x+3 x^2}{-3+x}\right)}{x}\right) \left(27 x^2-18 x^3+3 x^4\right)} \, dx","Integrate[(9*x^2 - 6*x^3 + x^4 + E^(E^((-3*E^x + E^3*(9 - 3*x) - 9*x + 3*x^2)/(-3 + x))/x + (-3*E^x + E^3*(9 - 3*x) - 9*x + 3*x^2)/(-3 + x))*(-27 + 99*x - 57*x^2 + 9*x^3 + E^x*(36*x - 9*x^2)))/(9*x^3 - 6*x^4 + x^5 + E^(E^((-3*E^x + E^3*(9 - 3*x) - 9*x + 3*x^2)/(-3 + x))/x)*(27*x^2 - 18*x^3 + 3*x^4)),x]","\log \left(x+3 e^{\frac{e^{3 x-\frac{3 e^x}{x-3}-3 e^3}}{x}}\right)","\log \left(x+3 e^{\frac{e^{3 \left(x+\frac{e^x}{3-x}-e^3\right)}}{x}}\right)",1,"Log[3*E^(E^(-3*E^3 - (3*E^x)/(-3 + x) + 3*x)/x) + x]","A",1
1931,1,29,24,0.228484,"\int \frac{\exp \left(\frac{1+2 e^{e^x} x+e^{2 e^e} x^2+e^{2 e^x} x^2+e^{e^e} \left(2 x+2 e^{e^x} x^2\right)}{x^2}\right) \left(-52+2 x-x^3+e^{2 e^x+x} \left(52 x^3-2 x^4\right)+e^{e^x} \left(-52 x+2 x^2+e^x \left(52 x^2-2 x^3\right)\right)+e^{e^e} \left(-52 x+2 x^2+e^{e^x+x} \left(52 x^3-2 x^4\right)\right)\right)}{x^3} \, dx","Integrate[(E^((1 + 2*E^E^x*x + E^(2*E^E)*x^2 + E^(2*E^x)*x^2 + E^E^E*(2*x + 2*E^E^x*x^2))/x^2)*(-52 + 2*x - x^3 + E^(2*E^x + x)*(52*x^3 - 2*x^4) + E^E^x*(-52*x + 2*x^2 + E^x*(52*x^2 - 2*x^3)) + E^E^E*(-52*x + 2*x^2 + E^(E^x + x)*(52*x^3 - 2*x^4))))/x^3,x]","-e^{\frac{\left(e^{e^x} x+e^{e^e} x+1\right)^2}{x^2}} (x-26)","e^{\left(e^{e^x}+\frac{1}{x}+e^{e^e}\right)^2} (26-x)",1,"-(E^((1 + E^E^E*x + E^E^x*x)^2/x^2)*(-26 + x))","A",1
1932,1,37,20,0.0143252,"\int \frac{e^4 (225-150 x)+1125 e^2 x^2}{e^4-30 e^2 x+225 x^2} \, dx","Integrate[(E^4*(225 - 150*x) + 1125*E^2*x^2)/(E^4 - 30*E^2*x + 225*x^2),x]","-\frac{225 e^2 x^2-15 e^4 (2 x+3)+2 e^6}{3 \left(e^2-15 x\right)}","\frac{5 (3-x) x}{\frac{1}{15}-\frac{x}{e^2}}",1,"-1/3*(2*E^6 + 225*E^2*x^2 - 15*E^4*(3 + 2*x))/(E^2 - 15*x)","A",1
1933,1,17,14,0.0054937,"\int \frac{-18+8 x-x^2+\left(8 x-2 x^2\right) \log (x)}{x} \, dx","Integrate[(-18 + 8*x - x^2 + (8*x - 2*x^2)*Log[x])/x,x]","x^2 (-\log (x))+8 x \log (x)-18 \log (x)","(-((x-4) x)+4 x-18) \log (x)",1,"-18*Log[x] + 8*x*Log[x] - x^2*Log[x]","A",1
1934,1,42,24,0.1840265,"\int \frac{2^{-2 x} \left(-800-400 x+\left(-800 x-200 x^2\right) \log (2)+(-200-200 x \log (2)) \log (5)+2^x \left(10240+6400 x+960 x^2+\left(5120 x+2560 x^2+320 x^3\right) \log (2)+\left(5120+1600 x+\left(2560 x+640 x^2\right) \log (2)\right) \log (5)+(640+320 x \log (2)) \log ^2(5)\right)+2^{2 x} \left(-32768-24576 x-6144 x^2-512 x^3+\left(-24576-12288 x-1536 x^2\right) \log (5)+(-6144-1536 x) \log ^2(5)-512 \log ^3(5)\right)\right)}{64 x^3+48 x^4+12 x^5+x^6+\left(48 x^3+24 x^4+3 x^5\right) \log (5)+\left(12 x^3+3 x^4\right) \log ^2(5)+x^3 \log ^3(5)} \, dx","Integrate[(-800 - 400*x + (-800*x - 200*x^2)*Log[2] + (-200 - 200*x*Log[2])*Log[5] + 2^x*(10240 + 6400*x + 960*x^2 + (5120*x + 2560*x^2 + 320*x^3)*Log[2] + (5120 + 1600*x + (2560*x + 640*x^2)*Log[2])*Log[5] + (640 + 320*x*Log[2])*Log[5]^2) + 2^(2*x)*(-32768 - 24576*x - 6144*x^2 - 512*x^3 + (-24576 - 12288*x - 1536*x^2)*Log[5] + (-6144 - 1536*x)*Log[5]^2 - 512*Log[5]^3))/(2^(2*x)*(64*x^3 + 48*x^4 + 12*x^5 + x^6 + (48*x^3 + 24*x^4 + 3*x^5)*Log[5] + (12*x^3 + 3*x^4)*Log[5]^2 + x^3*Log[5]^3)),x]","\frac{4^{1-x} \left(2^{x+3} x+2^{x+5}+2^{x+3} \log (5)-5\right)^2}{x^2 (x+4+\log (5))^2}","\frac{\left(16-\frac{5\ 2^{1-x}}{x+4+\log (5)}\right)^2}{x^2}",1,"(4^(1 - x)*(-5 + 2^(5 + x) + 2^(3 + x)*x + 2^(3 + x)*Log[5])^2)/(x^2*(4 + x + Log[5])^2)","A",1
1935,1,16,17,0.0077114,"\int \frac{-1+48 x^2+16 e^x x^2}{48 x^2} \, dx","Integrate[(-1 + 48*x^2 + 16*E^x*x^2)/(48*x^2),x]","x+\frac{e^x}{3}+\frac{1}{48 x}","\frac{1}{3} \left(e^x+\frac{1}{16 x}\right)+x",1,"E^x/3 + 1/(48*x) + x","A",1
1936,1,27,22,0.0767065,"\int \frac{e^{-2 x^2} \left(40+160 x^2+2 e^{2 x^2} x^2-60 e x^3\right)}{x^2} \, dx","Integrate[(40 + 160*x^2 + 2*E^(2*x^2)*x^2 - 60*E*x^3)/(E^(2*x^2)*x^2),x]","15 e^{1-2 x^2}-\frac{40 e^{-2 x^2}}{x}+2 x","\frac{5 e^{-2 x^2} (3 e x-8)}{x}+2 x",1,"15*E^(1 - 2*x^2) - 40/(E^(2*x^2)*x) + 2*x","A",1
1937,1,13,18,0.0042272,"\int \frac{32+16 x^3}{8 x+x^4} \, dx","Integrate[(32 + 16*x^3)/(8*x + x^4),x]","4 \log \left(x^3+8\right)+4 \log (x)","\log \left(\frac{1}{25} \left(\frac{x^4}{4}+2 x\right)^4\right)",1,"4*Log[x] + 4*Log[8 + x^3]","A",1
1938,1,26,31,0.0499409,"\int \frac{2 x^4+e^{\frac{5+e^{e^5}}{x}} \left(165+33 e^{e^5}+33 x\right)}{11 x^3} \, dx","Integrate[(2*x^4 + E^((5 + E^E^5)/x)*(165 + 33*E^E^5 + 33*x))/(11*x^3),x]","\frac{x^2}{11}-\frac{3 e^{\frac{5+e^{e^5}}{x}}}{x}","\frac{x^2}{11}+\frac{x-3 \left(x+e^{\frac{5+e^{e^5}}{x}}\right)}{x}",1,"(-3*E^((5 + E^E^5)/x))/x + x^2/11","A",1
1939,1,15,16,0.0097396,"\int -2 e^{\frac{2}{25} \left(695-e^4-25 x\right)} \, dx","Integrate[-2*E^((2*(695 - E^4 - 25*x))/25),x]","e^{-2 x-\frac{2}{25} \left(e^4-695\right)}","e^{-2 x-\frac{2 e^4}{25}+\frac{278}{5}}",1,"E^((-2*(-695 + E^4))/25 - 2*x)","A",1
1940,1,17,19,0.0060761,"\int \frac{-6 x+2 x \log \left(\frac{2}{e^3}\right)}{9+6 x^2+x^4+\left(-6-2 x^2\right) \log \left(\frac{2}{e^3}\right)+\log ^2\left(\frac{2}{e^3}\right)} \, dx","Integrate[(-6*x + 2*x*Log[2/E^3])/(9 + 6*x^2 + x^4 + (-6 - 2*x^2)*Log[2/E^3] + Log[2/E^3]^2),x]","-\frac{\log (2)-6}{x^2+6-\log (2)}","\frac{x^2}{-x^2-3+\log \left(\frac{2}{e^3}\right)}",1,"-((-6 + Log[2])/(6 + x^2 - Log[2]))","A",1
1941,1,56,33,0.4587495,"\int \frac{\exp \left(-\frac{\log ^2(x)+2 e^x x \log (x) \log \left(x^2\right)+\left(e^{2 x} x^2+4 x^7\right) \log ^2\left(x^2\right)}{4 x^6 \log ^2\left(x^2\right)}\right) \left(2 \log ^2(x)+\left(\left(-1+2 e^x x\right) \log (x)+3 \log ^2(x)\right) \log \left(x^2\right)+\left(-e^x x+e^x \left(5 x-x^2\right) \log (x)\right) \log ^2\left(x^2\right)+\left(2 x^6-2 x^7+e^{2 x} \left(2 x^2-x^3\right)\right) \log ^3\left(x^2\right)\right)}{2 x^6 \log ^3\left(x^2\right)} \, dx","Integrate[(2*Log[x]^2 + ((-1 + 2*E^x*x)*Log[x] + 3*Log[x]^2)*Log[x^2] + (-(E^x*x) + E^x*(5*x - x^2)*Log[x])*Log[x^2]^2 + (2*x^6 - 2*x^7 + E^(2*x)*(2*x^2 - x^3))*Log[x^2]^3)/(2*E^((Log[x]^2 + 2*E^x*x*Log[x]*Log[x^2] + (E^(2*x)*x^2 + 4*x^7)*Log[x^2]^2)/(4*x^6*Log[x^2]^2))*x^6*Log[x^2]^3),x]","x^{1-\frac{e^x}{2 x^5 \log \left(x^2\right)}} \exp \left(-\frac{e^{2 x}}{4 x^4}-\frac{\log ^2(x)}{4 x^6 \log ^2\left(x^2\right)}-x\right)","x e^{-\frac{\left(\frac{\log (x)}{x \log \left(x^2\right)}+e^x\right)^2}{4 x^4}-x}",1,"E^(-1/4*E^(2*x)/x^4 - x - Log[x]^2/(4*x^6*Log[x^2]^2))*x^(1 - E^x/(2*x^5*Log[x^2]))","A",1
1942,1,20,27,0.4099359,"\int \frac{-2600-1747 x+146 x^2-3 x^3+\left(-204-145 x+6 x^2\right) \log (4+3 x)+(-4-3 x) \log ^2(4+3 x)}{7500+5025 x-438 x^2+9 x^3+\left(600+426 x-18 x^2\right) \log (4+3 x)+(12+9 x) \log ^2(4+3 x)} \, dx","Integrate[(-2600 - 1747*x + 146*x^2 - 3*x^3 + (-204 - 145*x + 6*x^2)*Log[4 + 3*x] + (-4 - 3*x)*Log[4 + 3*x]^2)/(7500 + 5025*x - 438*x^2 + 9*x^3 + (600 + 426*x - 18*x^2)*Log[4 + 3*x] + (12 + 9*x)*Log[4 + 3*x]^2),x]","-\frac{1}{3} x \left(\frac{1}{-x+\log (3 x+4)+25}+1\right)","\frac{1}{3} \left(-x+\frac{x}{x-\log (3 x+4)-25}+1\right)+\log (2)",1,"-1/3*(x*(1 + (25 - x + Log[4 + 3*x])^(-1)))","A",1
1943,1,21,21,0.0263232,"\int \left(8 e^{5+8 x}-2 \log \left(\frac{3}{2 x}\right)+\left(2-2 \log \left(\frac{3}{2 x}\right)\right) \log (x)\right) \, dx","Integrate[8*E^(5 + 8*x) - 2*Log[3/(2*x)] + (2 - 2*Log[3/(2*x)])*Log[x],x]","e^{8 x+5}-2 x \log \left(\frac{3}{2 x}\right) \log (x)","e^{8 x+5}-2 x \log \left(\frac{3}{2 x}\right) \log (x)",1,"E^(5 + 8*x) - 2*x*Log[3/(2*x)]*Log[x]","A",1
1944,1,64,31,1.5794457,"\int \frac{\exp \left(\exp \left(\frac{2 e^{-2 x} \left(-100+40 x+76 x^2-16 x^3-16 x^4+e^{2+2 x} \left(x+4 x^2+4 x^3\right)\right)}{1+4 x+4 x^2}\right)-2 x+\frac{2 e^{-2 x} \left(-100+40 x+76 x^2-16 x^3-16 x^4+e^{2+2 x} \left(x+4 x^2+4 x^3\right)\right)}{1+4 x+4 x^2}\right) \left(1280+784 x-720 x^2-736 x^3+64 x^4+128 x^5+e^{2+2 x} \left(2+12 x+24 x^2+16 x^3\right)\right)}{1+6 x+12 x^2+8 x^3} \, dx","Integrate[(E^(E^((2*(-100 + 40*x + 76*x^2 - 16*x^3 - 16*x^4 + E^(2 + 2*x)*(x + 4*x^2 + 4*x^3)))/(E^(2*x)*(1 + 4*x + 4*x^2))) - 2*x + (2*(-100 + 40*x + 76*x^2 - 16*x^3 - 16*x^4 + E^(2 + 2*x)*(x + 4*x^2 + 4*x^3)))/(E^(2*x)*(1 + 4*x + 4*x^2)))*(1280 + 784*x - 720*x^2 - 736*x^3 + 64*x^4 + 128*x^5 + E^(2 + 2*x)*(2 + 12*x + 24*x^2 + 16*x^3)))/(1 + 6*x + 12*x^2 + 8*x^3),x]","\exp \left(\exp \left(\frac{e^{-2 x} \left(-32 x^4+8 \left(e^{2 x+2}-4\right) x^3+8 \left(e^{2 x+2}+19\right) x^2+2 \left(e^{2 x+2}+40\right) x-200\right)}{(2 x+1)^2}\right)\right)","e^{e^{2 e^2 x-8 e^{-2 x} \left(x-\frac{5}{2 x+1}\right)^2}}",1,"E^E^((-200 + 2*(40 + E^(2 + 2*x))*x + 8*(19 + E^(2 + 2*x))*x^2 + 8*(-4 + E^(2 + 2*x))*x^3 - 32*x^4)/(E^(2*x)*(1 + 2*x)^2))","B",1
1945,1,80,17,0.5902246,"\int \frac{4+(1+x) \log \left(\frac{3}{x^2}\right) \log ^2\left(\log ^2\left(\frac{3}{x^2}\right)\right)}{x \log \left(\frac{3}{x^2}\right) \log \left(\log ^2\left(\frac{3}{x^2}\right)\right)+\left(\left(-x+x^2\right) \log \left(\frac{3}{x^2}\right)+x \log \left(\frac{3}{x^2}\right) \log (x)\right) \log ^2\left(\log ^2\left(\frac{3}{x^2}\right)\right)} \, dx","Integrate[(4 + (1 + x)*Log[3/x^2]*Log[Log[3/x^2]^2]^2)/(x*Log[3/x^2]*Log[Log[3/x^2]^2] + ((-x + x^2)*Log[3/x^2] + x*Log[3/x^2]*Log[x])*Log[Log[3/x^2]^2]^2),x]","\log \left(2 x \log \left(\log ^2\left(\frac{3}{x^2}\right)\right)-\log \left(\frac{3}{x^2}\right) \log \left(\log ^2\left(\frac{3}{x^2}\right)\right)+2 \left(\frac{1}{2} \log \left(\frac{3}{x^2}\right)+\log (x)\right) \log \left(\log ^2\left(\frac{3}{x^2}\right)\right)-2 \log \left(\log ^2\left(\frac{3}{x^2}\right)\right)+2\right)-\log \left(\log \left(\log ^2\left(\frac{3}{x^2}\right)\right)\right)","\log \left(\frac{1}{\log \left(\log ^2\left(\frac{3}{x^2}\right)\right)}+x+\log (x)-1\right)",1,"-Log[Log[Log[3/x^2]^2]] + Log[2 - 2*Log[Log[3/x^2]^2] + 2*x*Log[Log[3/x^2]^2] - Log[3/x^2]*Log[Log[3/x^2]^2] + 2*(Log[3/x^2]/2 + Log[x])*Log[Log[3/x^2]^2]]","B",1
1946,1,55,25,0.0546033,"\int \frac{32-40 x-96 x^2+157 x^3-111 x^5-9 x^7+3 x^9+e^{2 x^2} \left(2-10 x^2+4 x^4\right)+e^{x^2} \left(16-10 x-64 x^2+60 x^3+16 x^4-70 x^5+20 x^7\right)}{-x^3+3 x^5-3 x^7+x^9} \, dx","Integrate[(32 - 40*x - 96*x^2 + 157*x^3 - 111*x^5 - 9*x^7 + 3*x^9 + E^(2*x^2)*(2 - 10*x^2 + 4*x^4) + E^x^2*(16 - 10*x - 64*x^2 + 60*x^3 + 16*x^4 - 70*x^5 + 20*x^7))/(-x^3 + 3*x^5 - 3*x^7 + x^9),x]","\frac{3 x^7-6 x^5+43 x^3+e^{2 x^2}+2 e^{x^2} \left(5 x^3-5 x+4\right)-40 x+16}{x^2 \left(x^2-1\right)^2}","\left(\frac{e^{x^2}+4}{x^3-x}+5\right)^2+3 x",1,"(16 + E^(2*x^2) - 40*x + 43*x^3 - 6*x^5 + 3*x^7 + 2*E^x^2*(4 - 5*x + 5*x^3))/(x^2*(-1 + x^2)^2)","B",1
1947,1,13,18,0.0731288,"\int \frac{1}{3} e^{\frac{1}{3} (3+3 x-\log (x))} (3+(2+3 x) \log (x)) \, dx","Integrate[(E^((3 + 3*x - Log[x])/3)*(3 + (2 + 3*x)*Log[x]))/3,x]","e^{x+1} x^{2/3} \log (x)","x e^{x+\frac{1}{3} (3-\log (x))} \log (x)",1,"E^(1 + x)*x^(2/3)*Log[x]","A",1
1948,1,31,30,0.0710241,"\int \frac{e^{-x} \left(-2-2 x-x^2+e^5 x^2-2 e^x x^2\right)}{2 x^2} \, dx","Integrate[(-2 - 2*x - x^2 + E^5*x^2 - 2*E^x*x^2)/(2*E^x*x^2),x]","\frac{1}{2} \left(-\frac{e^{-x} \left(\left(e^5-1\right) x^2-2 x\right)}{x^2}-2 x\right)","-x+\frac{1}{2} e^{-x} \left(\frac{3 x+2}{x}-e^5-2\right)+4",1,"(-2*x - (-2*x + (-1 + E^5)*x^2)/(E^x*x^2))/2","A",1
1949,1,17,17,0.054043,"\int \frac{-1+e^2+5 e^4+\left(e^2+5 e^4\right) \log (x)+\left(1+10 e^2+\left(1+10 e^2\right) \log (x)\right) \log (1+\log (x))+(5+5 \log (x)) \log ^2(1+\log (x))}{e^4+e^4 \log (x)+\left(2 e^2+2 e^2 \log (x)\right) \log (1+\log (x))+(1+\log (x)) \log ^2(1+\log (x))} \, dx","Integrate[(-1 + E^2 + 5*E^4 + (E^2 + 5*E^4)*Log[x] + (1 + 10*E^2 + (1 + 10*E^2)*Log[x])*Log[1 + Log[x]] + (5 + 5*Log[x])*Log[1 + Log[x]]^2)/(E^4 + E^4*Log[x] + (2*E^2 + 2*E^2*Log[x])*Log[1 + Log[x]] + (1 + Log[x])*Log[1 + Log[x]]^2),x]","5 x+\frac{x}{\log (\log (x)+1)+e^2}","5 x+\frac{x}{\log (\log (x)+1)+e^2}",1,"5*x + x/(E^2 + Log[1 + Log[x]])","A",1
1950,1,25,28,1.530956,"\int \frac{-5 x+\left(10 x+4 x^2\right) \log \left(\frac{x}{5+2 x}\right)+\left(25-4 x^2\right) \log ^2\left(\frac{x}{5+2 x}\right)}{(5+2 x) \log ^2\left(\frac{x}{5+2 x}\right)} \, dx","Integrate[(-5*x + (10*x + 4*x^2)*Log[x/(5 + 2*x)] + (25 - 4*x^2)*Log[x/(5 + 2*x)]^2)/((5 + 2*x)*Log[x/(5 + 2*x)]^2),x]","-x^2+\frac{x^2}{\log \left(\frac{x}{2 x+5}\right)}+5 x","\frac{x^2}{\log \left(\frac{x}{2 x+5}\right)}-(2-x)^2+x-4",1,"5*x - x^2 + x^2/Log[x/(5 + 2*x)]","A",1
1951,1,47,25,0.0923822,"\int \frac{2 x^3-4 x^4+\left(6 x-12 x^2-4 x^3+3 x^4+x^5\right) \log \left(-x+x^2\right)+\left(-12 x+6 x^2+6 x^3\right) \log ^2\left(-x+x^2\right)+\left(-10+9 x+x^2\right) \log ^3\left(-x+x^2\right)}{\left(-x^4+x^5\right) \log \left(-x+x^2\right)+\left(-6 x^2+6 x^3\right) \log ^2\left(-x+x^2\right)+\left(-9+8 x+x^2\right) \log ^3\left(-x+x^2\right)} \, dx","Integrate[(2*x^3 - 4*x^4 + (6*x - 12*x^2 - 4*x^3 + 3*x^4 + x^5)*Log[-x + x^2] + (-12*x + 6*x^2 + 6*x^3)*Log[-x + x^2]^2 + (-10 + 9*x + x^2)*Log[-x + x^2]^3)/((-x^4 + x^5)*Log[-x + x^2] + (-6*x^2 + 6*x^3)*Log[-x + x^2]^2 + (-9 + 8*x + x^2)*Log[-x + x^2]^3),x]","\log \left(x^4+6 x^2 \log ((x-1) x)+x \log ^2((x-1) x)+9 \log ^2((x-1) x)\right)+x-2 \log (\log ((x-1) x))","\log \left(4 \left(\left(\frac{x^2}{\log \left(x^2-x\right)}+3\right)^2+x\right)\right)+x",1,"x - 2*Log[Log[(-1 + x)*x]] + Log[x^4 + 6*x^2*Log[(-1 + x)*x] + 9*Log[(-1 + x)*x]^2 + x*Log[(-1 + x)*x]^2]","A",1
1952,1,21,24,0.006435,"\int \frac{32 x+16 e^3 x+2 e^6 x}{1+e^5-2 x^2+x^4+e^{5/2} \left(-2+2 x^2\right)} \, dx","Integrate[(32*x + 16*E^3*x + 2*E^6*x)/(1 + E^5 - 2*x^2 + x^4 + E^(5/2)*(-2 + 2*x^2)),x]","-\frac{\left(4+e^3\right)^2}{x^2+e^{5/2}-1}","\frac{\left(4+e^3\right)^2}{-x^2-e^{5/2}+1}",1,"-((4 + E^3)^2/(-1 + E^(5/2) + x^2))","A",1
1953,1,27,24,0.0170205,"\int \frac{48 x^3+e^6 \left(4+12 x-36 x^2+48 x^3\right)}{e^6} \, dx","Integrate[(48*x^3 + E^6*(4 + 12*x - 36*x^2 + 48*x^3))/E^6,x]","\frac{12 \left(1+e^6\right) x^4}{e^6}-12 x^3+6 x^2+4 x","x \left(6 \left(2 \left(x \left(\frac{x}{e^6}+x\right)-x\right) x+x\right)+4\right)",1,"4*x + 6*x^2 - 12*x^3 + (12*(1 + E^6)*x^4)/E^6","A",1
1954,1,17,23,0.0201302,"\int \frac{45-5 x+18 x^2-e (-9+x) x^2-2 x^3+e^x \left(9 x^2-x^3\right)}{-9 x^2+x^3} \, dx","Integrate[(45 - 5*x + 18*x^2 - E*(-9 + x)*x^2 - 2*x^3 + E^x*(9*x^2 - x^3))/(-9*x^2 + x^3),x]","-((2+e) x)-e^x+\frac{5}{x}","-e (x-9)-e^x-2 x+\frac{5}{x}+e^2",1,"-E^x + 5/x - (2 + E)*x","A",1
1955,1,34,20,0.0097071,"\int \frac{-4+8 x+(-2+e (-1+2 x)) \log (4)}{4+e \log (4)} \, dx","Integrate[(-4 + 8*x + (-2 + E*(-1 + 2*x))*Log[4])/(4 + E*Log[4]),x]","\frac{4 x^2+e x^2 \log (4)-4 x+(-2-e) x \log (4)}{4+e \log (4)}","x \left(x-\frac{2}{e+\frac{4}{\log (4)}}\right)-x",1,"(-4*x + 4*x^2 + (-2 - E)*x*Log[4] + E*x^2*Log[4])/(4 + E*Log[4])","A",1
1956,1,34,25,0.0772548,"\int \frac{4-144 x^3-576 x^3 \log (4)+e^{2 x} \left(-72 x-72 x^2+\left(-288 x-288 x^2\right) \log (4)\right)+e^x \left(216 x^2+72 x^3+\left(864 x^2+288 x^3\right) \log (4)\right)}{1+4 \log (4)} \, dx","Integrate[(4 - 144*x^3 - 576*x^3*Log[4] + E^(2*x)*(-72*x - 72*x^2 + (-288*x - 288*x^2)*Log[4]) + E^x*(216*x^2 + 72*x^3 + (864*x^2 + 288*x^3)*Log[4]))/(1 + 4*Log[4]),x]","4 \left(-9 x^4+18 e^x x^3-9 e^{2 x} x^2+\frac{x}{1+\log (256)}\right)","\frac{x}{\frac{1}{4}+\log (4)}-36 x^2 \left(x-e^x\right)^2",1,"4*(-9*E^(2*x)*x^2 + 18*E^x*x^3 - 9*x^4 + x/(1 + Log[256]))","A",1
1957,1,27,32,0.0105485,"\int \frac{5-e^{\frac{5}{\log (3)}}+x^2+e^x x^2-2 x^3}{x^2} \, dx","Integrate[(5 - E^(5/Log[3]) + x^2 + E^x*x^2 - 2*x^3)/x^2,x]","-x^2+x+e^x-\frac{5}{x}+\frac{e^{\frac{5}{\log (3)}}}{x}","-x^2+\frac{2 x^2-5+e^{\frac{5}{\log (3)}}}{x}-x+e^x-2",1,"E^x - 5/x + E^(5/Log[3])/x + x - x^2","A",1
1958,1,23,30,0.0284077,"\int \frac{4 e^{5+\frac{2}{\log (x)}}+\left(-x+36 x^2\right) \log ^2(x)}{2 x \log ^2(x)} \, dx","Integrate[(4*E^(5 + 2/Log[x]) + (-x + 36*x^2)*Log[x]^2)/(2*x*Log[x]^2),x]","9 x^2-\frac{x}{2}-e^{\frac{2}{\log (x)}+5}","9 x^2-\frac{x}{2}+e^5 \left(e^5-e^{\frac{2}{\log (x)}}\right)+2",1,"-E^(5 + 2/Log[x]) - x/2 + 9*x^2","A",1
1959,1,54,25,0.0726143,"\int \frac{-179159040-414720 x+165888 x^2-165888 x^2 \log (3)}{-2015539200+820212480 x-86252688 x^2+572857 x^3-1306 x^4+x^5+\left(-806215680 x+166841856 x^2-1132704 x^3+2602 x^4-2 x^5\right) \log (3)+\left(-80621568 x^2+559872 x^3-1296 x^4+x^5\right) \log ^2(3)} \, dx","Integrate[(-179159040 - 414720*x + 165888*x^2 - 165888*x^2*Log[3])/(-2015539200 + 820212480*x - 86252688*x^2 + 572857*x^3 - 1306*x^4 + x^5 + (-806215680*x + 166841856*x^2 - 1132704*x^3 + 2602*x^4 - 2*x^5)*Log[3] + (-80621568*x^2 + 559872*x^3 - 1296*x^4 + x^5)*Log[3]^2),x]","-\frac{82944 x \left(77854483-1119744 \log ^2(3) (36 \log (9)-67)-41753664 \log (9)+432 \log (3) (189864 \log (9)-353683)\right)}{(x-432)^2 (432 \log (3)-427)^3 (x (\log (3)-1)+5)}","\frac{4 x}{\left(\frac{x}{144}-3\right)^2 (-x+x \log (3)+5)}+4",1,"(-82944*x*(77854483 - 41753664*Log[9] - 1119744*Log[3]^2*(-67 + 36*Log[9]) + 432*Log[3]*(-353683 + 189864*Log[9])))/((-432 + x)^2*(5 + x*(-1 + Log[3]))*(-427 + 432*Log[3])^3)","B",1
1960,1,10,10,0.0367761,"\int \frac{4 e^{\log ^2\left(-3 x^2\right)} \log \left(-3 x^2\right)}{x} \, dx","Integrate[(4*E^Log[-3*x^2]^2*Log[-3*x^2])/x,x]","e^{\log ^2\left(-3 x^2\right)}","e^{\log ^2\left(-3 x^2\right)}",1,"E^Log[-3*x^2]^2","A",1
1961,1,21,22,0.0146963,"\int \frac{-2+e^{e^4} \left(4-4 x+x^2\right)}{8-8 x+2 x^2} \, dx","Integrate[(-2 + E^E^4*(4 - 4*x + x^2))/(8 - 8*x + 2*x^2),x]","\frac{1}{2} \left(e^{e^4} (x-2)+\frac{2}{x-2}\right)","\frac{1}{2} x \left(\frac{x}{x^2-2 x}+e^{e^4}\right)",1,"(2/(-2 + x) + E^E^4*(-2 + x))/2","A",1
1962,1,5,5,0.0041866,"\int e^{e^x+x} \, dx","Integrate[E^(E^x + x),x]","e^{e^x}","e^{e^x}",1,"E^E^x","A",1
1963,1,18,20,0.0081421,"\int \frac{e^{2 x} (-6-12 x)+6 x^2}{e} \, dx","Integrate[(E^(2*x)*(-6 - 12*x) + 6*x^2)/E,x]","\frac{2 x^3-6 e^{2 x} x}{e}","\frac{2 x^2 \left(x-\frac{3 e^{2 x}}{x}\right)}{e}",1,"(-6*E^(2*x)*x + 2*x^3)/E","A",1
1964,1,73,25,0.0445131,"\int \frac{79-4 x-3080 x^3+160 x^4-616 x^7+32 x^8+\left(-4660 x^2+240 x^3-2164 x^6+112 x^7\right) \log (79-4 x)+\left(-1580 x+80 x^2-2796 x^5+144 x^6\right) \log ^2(79-4 x)+\left(-1564 x^4+80 x^5\right) \log ^3(79-4 x)+\left(-316 x^3+16 x^4\right) \log ^4(79-4 x)}{-79+4 x} \, dx","Integrate[(79 - 4*x - 3080*x^3 + 160*x^4 - 616*x^7 + 32*x^8 + (-4660*x^2 + 240*x^3 - 2164*x^6 + 112*x^7)*Log[79 - 4*x] + (-1580*x + 80*x^2 - 2796*x^5 + 144*x^6)*Log[79 - 4*x]^2 + (-1564*x^4 + 80*x^5)*Log[79 - 4*x]^3 + (-316*x^3 + 16*x^4)*Log[79 - 4*x]^4)/(-79 + 4*x),x]","x^8+4 x^5 \log ^3(79-4 x)+10 x^4+x^4 \log ^4(79-4 x)+4 \left(x^4+5\right) x^3 \log (79-4 x)+2 \left(3 x^4+5\right) x^2 \log ^2(79-4 x)-x","\left(x^2 (x+\log (67-4 (x-3)))^2+5\right)^2-x-3",1,"-x + 10*x^4 + x^8 + 4*x^3*(5 + x^4)*Log[79 - 4*x] + 2*x^2*(5 + 3*x^4)*Log[79 - 4*x]^2 + 4*x^5*Log[79 - 4*x]^3 + x^4*Log[79 - 4*x]^4","B",1
1965,1,25,34,1.2308772,"\int \frac{\exp \left(4+\exp \left(\frac{-3+e^x+e (-1-x)+e^{e^3} (-1-x)-3 x}{3+e+e^{e^3}}\right)+\frac{-3+e^x+e (-1-x)+e^{e^3} (-1-x)-3 x}{3+e+e^{e^3}}\right) \left(-3-e-e^{e^3}+e^x\right)}{3+e+e^{e^3}} \, dx","Integrate[(E^(4 + E^((-3 + E^x + E*(-1 - x) + E^E^3*(-1 - x) - 3*x)/(3 + E + E^E^3)) + (-3 + E^x + E*(-1 - x) + E^E^3*(-1 - x) - 3*x)/(3 + E + E^E^3))*(-3 - E - E^E^3 + E^x))/(3 + E + E^E^3),x]","e^{e^{-x+\frac{e^x}{3+e+e^{e^3}}-1}+4}","e^{e^{\frac{\left(\frac{e^x}{3+e+e^{e^3}}-x\right) x-x}{x}}+4}",1,"E^(4 + E^(-1 + E^x/(3 + E + E^E^3) - x))","A",1
1966,1,6,22,0.0011658,"\int \frac{15}{11+15 x} \, dx","Integrate[15/(11 + 15*x),x]","\log (15 x+11)","\log \left(2 x+4 \left(3 x+\frac{x+2}{4}+2\right)+1\right)+4",1,"Log[11 + 15*x]","A",1
1967,1,35,21,0.1185788,"\int \frac{-25 e^6-10 e^3 \log (-5 x)-\log ^2(-5 x)+\left(10 e^3+2 \log (-5 x)\right) \log (x)+2 e^6 x^2 \log ^2(x)}{e^6 x \log ^2(x)} \, dx","Integrate[(-25*E^6 - 10*E^3*Log[-5*x] - Log[-5*x]^2 + (10*E^3 + 2*Log[-5*x])*Log[x] + 2*E^6*x^2*Log[x]^2)/(E^6*x*Log[x]^2),x]","\frac{e^6 x^2+\log (x)+\frac{\left(\log (-5 x)-\log (x)+5 e^3\right)^2}{\log (x)}}{e^6}","x^2+\frac{\left(\frac{\log (-5 x)}{e^3}+5\right)^2}{\log (x)}",1,"(E^6*x^2 + (5*E^3 + Log[-5*x] - Log[x])^2/Log[x] + Log[x])/E^6","A",1
1968,1,18,21,0.0322402,"\int \left(8+e^{\frac{5-4 x}{x}} \left(5 x^2-4 x^3\right)\right) \, dx","Integrate[8 + E^((5 - 4*x)/x)*(5*x^2 - 4*x^3),x]","8 x-e^{\frac{5}{x}-4} x^4","-e^{\frac{x+5}{x}-5} x^4+8 x-5",1,"8*x - E^(-4 + 5/x)*x^4","A",1
1969,1,19,16,0.5455718,"\int \frac{-50-18 x-2 x^2}{-660-280 x-42 x^2-2 x^3+\left(30+10 x+x^2\right) \log \left(-30-10 x-x^2\right)} \, dx","Integrate[(-50 - 18*x - 2*x^2)/(-660 - 280*x - 42*x^2 - 2*x^3 + (30 + 10*x + x^2)*Log[-30 - 10*x - x^2]),x]","\log \left(-\log \left(-x^2-10 x-30\right)+2 x+22\right)","\log \left(-2 x+\log \left(-(x+5)^2-5\right)-22\right)",1,"Log[22 + 2*x - Log[-30 - 10*x - x^2]]","A",1
1970,1,14,23,0.0182977,"\int e^{e^4+x} \left(1-x^2\right) \, dx","Integrate[E^(E^4 + x)*(1 - x^2),x]","-e^{x+e^4} (x-1)^2","\frac{e^{x+e^4} (1-x) (x-1) x+x}{x}",1,"-(E^(E^4 + x)*(-1 + x)^2)","A",1
1971,1,25,25,0.1143613,"\int \frac{x+e^x \left(-2 x+x^2\right) \log (5 x) \log (\log (5 x))+2 x \log (5 x) \log (\log (5 x)) \log \left(\frac{x^2}{\log (\log (5 x))}\right)}{\left(1-2 e^x+e^{2 x}\right) \log (5 x) \log (\log (5 x))+\left(2-2 e^x\right) \log (5 x) \log (\log (5 x)) \log \left(\frac{x^2}{\log (\log (5 x))}\right)+\log (5 x) \log (\log (5 x)) \log ^2\left(\frac{x^2}{\log (\log (5 x))}\right)} \, dx","Integrate[(x + E^x*(-2*x + x^2)*Log[5*x]*Log[Log[5*x]] + 2*x*Log[5*x]*Log[Log[5*x]]*Log[x^2/Log[Log[5*x]]])/((1 - 2*E^x + E^(2*x))*Log[5*x]*Log[Log[5*x]] + (2 - 2*E^x)*Log[5*x]*Log[Log[5*x]]*Log[x^2/Log[Log[5*x]]] + Log[5*x]*Log[Log[5*x]]*Log[x^2/Log[Log[5*x]]]^2),x]","\frac{x^2}{\log \left(\frac{x^2}{\log (\log (5 x))}\right)-e^x+1}","\frac{x^2}{\log \left(\frac{x^2}{\log (\log (5 x))}\right)-e^x+1}",1,"x^2/(1 - E^x + Log[x^2/Log[Log[5*x]]])","A",1
1972,1,26,23,0.2731412,"\int \frac{\exp \left(-4+\frac{e^4 (12-12 x)+4 x^2}{e^4 (-1+2 x)}\right) \left(-12 e^4-8 x+8 x^2\right)}{1-4 x+4 x^2} \, dx","Integrate[(E^(-4 + (E^4*(12 - 12*x) + 4*x^2)/(E^4*(-1 + 2*x)))*(-12*E^4 - 8*x + 8*x^2))/(1 - 4*x + 4*x^2),x]","\exp \left(\frac{4 \left(x^2-3 e^4 (x-1)\right)}{e^4 (2 x-1)}\right)","e^{\frac{4 \left(\left(\frac{x}{e^4}-4\right) x+x+3\right)}{2 x-1}}",1,"E^((4*(-3*E^4*(-1 + x) + x^2))/(E^4*(-1 + 2*x)))","A",1
1973,1,22,22,0.0045564,"\int \frac{1}{2} \left(-6 e^2+9 e^{2+\frac{x^3}{2}} x^2\right) \, dx","Integrate[(-6*E^2 + 9*E^(2 + x^3/2)*x^2)/2,x]","\frac{3}{2} e^2 \left(2 e^{\frac{x^3}{2}}-2 x\right)","\log (4)-3 e^2 \left(-e^{\frac{x^3}{2}}+x-2\right)",1,"(3*E^2*(2*E^(x^3/2) - 2*x))/2","A",1
1974,1,22,24,0.104902,"\int \frac{4 e^{1+x}-4 e^{1+x} x \log (x)+\left(12 x-4 x \log \left(\frac{7}{4}\right)\right) \log ^2(x)}{x \log ^2(x)} \, dx","Integrate[(4*E^(1 + x) - 4*E^(1 + x)*x*Log[x] + (12*x - 4*x*Log[7/4])*Log[x]^2)/(x*Log[x]^2),x]","12 x-4 x \log \left(\frac{7}{4}\right)-\frac{4 e^{x+1}}{\log (x)}","4 \left(x \left(3-\log \left(\frac{7}{4}\right)\right)-\frac{e^{x+1}}{\log (x)}\right)",1,"12*x - 4*x*Log[7/4] - (4*E^(1 + x))/Log[x]","A",1
1975,1,35,26,0.0226892,"\int \left(-2 x-8 x^7+e^{5/x} \left(5 x^6-8 x^7\right)-\log (\log (25))\right) \, dx","Integrate[-2*x - 8*x^7 + E^(5/x)*(5*x^6 - 8*x^7) - Log[Log[25]],x]","-x^8-x^2-x \log (\log (25))-3125000 \Gamma \left(-8,-\frac{5}{x}\right)-390625 \Gamma \left(-7,-\frac{5}{x}\right)","x \left(\left(-e^{5/x}-1\right) x^7-x-\log (\log (25))\right)",1,"-x^2 - x^8 - 3125000*Gamma[-8, -5/x] - 390625*Gamma[-7, -5/x] - x*Log[Log[25]]","C",1
1976,1,39,26,0.0956404,"\int \frac{-1600 x^2-3200 x^3+e^{2 x} \left(-400 x^2-800 x^3\right)+160 \log (4)+e^x \left(1600 x^2+3200 x^3+\left(-80-80 x+20 x^2\right) \log (4)\right)}{1600 x^4+3200 x^5+1600 x^6+e^{2 x} \left(400 x^4+800 x^5+400 x^6\right)+\left(320 x^2+240 x^3-80 x^4\right) \log (4)+\left(16-8 x+x^2\right) \log ^2(4)+e^x \left(-1600 x^4-3200 x^5-1600 x^6+\left(-160 x^2-120 x^3+40 x^4\right) \log (4)\right)} \, dx","Integrate[(-1600*x^2 - 3200*x^3 + E^(2*x)*(-400*x^2 - 800*x^3) + 160*Log[4] + E^x*(1600*x^2 + 3200*x^3 + (-80 - 80*x + 20*x^2)*Log[4]))/(1600*x^4 + 3200*x^5 + 1600*x^6 + E^(2*x)*(400*x^4 + 800*x^5 + 400*x^6) + (320*x^2 + 240*x^3 - 80*x^4)*Log[4] + (16 - 8*x + x^2)*Log[4]^2 + E^x*(-1600*x^4 - 3200*x^5 - 1600*x^6 + (-160*x^2 - 120*x^3 + 40*x^4)*Log[4])),x]","\frac{20 \left(e^x-2\right) x}{20 \left(e^x-2\right) x^3+20 \left(e^x-2\right) x^2+x \log (4)-4 \log (4)}","\frac{1}{x^2+x+\frac{(x-4) \log (4)}{20 \left(e^x-2\right) x}}",1,"(20*(-2 + E^x)*x)/(20*(-2 + E^x)*x^2 + 20*(-2 + E^x)*x^3 - 4*Log[4] + x*Log[4])","A",1
1977,1,25,25,0.1798877,"\int \frac{1-8 x-4 e^5 x+24 x^2-32 x^3+16 x^4+e^{2 x} \left(-2 x+12 x^2-24 x^3+16 x^4\right)}{-x+6 x^2-12 x^3+8 x^4} \, dx","Integrate[(1 - 8*x - 4*E^5*x + 24*x^2 - 32*x^3 + 16*x^4 + E^(2*x)*(-2*x + 12*x^2 - 24*x^3 + 16*x^4))/(-x + 6*x^2 - 12*x^3 + 8*x^4),x]","2 x+e^{2 x}+\frac{e^5}{(1-2 x)^2}-\log (x)-3","2 x+e^{2 x}+\frac{e^5}{(1-2 x)^2}-\log (x)+4",1,"-3 + E^(2*x) + E^5/(1 - 2*x)^2 + 2*x - Log[x]","A",1
1978,1,21,23,0.0632108,"\int \frac{-6561 x^2+e^{x^4} \left(-6561 x^2+4 x^4\right)+\left(-1+e^{x^4} (-1-162 x)-162 x\right) \log \left(1+e^{x^4}\right)+\left(-1-e^{x^4}\right) \log ^2\left(1+e^{x^4}\right)}{6561 x^2+6561 e^{x^4} x^2+\left(162 x+162 e^{x^4} x\right) \log \left(1+e^{x^4}\right)+\left(1+e^{x^4}\right) \log ^2\left(1+e^{x^4}\right)} \, dx","Integrate[(-6561*x^2 + E^x^4*(-6561*x^2 + 4*x^4) + (-1 + E^x^4*(-1 - 162*x) - 162*x)*Log[1 + E^x^4] + (-1 - E^x^4)*Log[1 + E^x^4]^2)/(6561*x^2 + 6561*E^x^4*x^2 + (162*x + 162*E^x^4*x)*Log[1 + E^x^4] + (1 + E^x^4)*Log[1 + E^x^4]^2),x]","-\frac{x}{\log \left(e^{x^4}+1\right)+81 x}-x","-\frac{1}{\frac{\log \left(e^{x^4}+1\right)}{x}+81}-x-13",1,"-x - x/(81*x + Log[1 + E^x^4])","A",1
1979,1,49,31,0.141331,"\int \frac{4 e^{2+2 x}+e^{-61+16 e^x-e^{2 x}+x} \left(-2-2 x-32 e^x x+4 e^{2 x} x\right)}{9+6 e^{2+2 x}+e^{4+4 x}+e^{-122+32 e^x-2 e^{2 x}+2 x} x^2+e^{-61+16 e^x-e^{2 x}+x} \left(-6 x-2 e^{2+2 x} x\right)} \, dx","Integrate[(4*E^(2 + 2*x) + E^(-61 + 16*E^x - E^(2*x) + x)*(-2 - 2*x - 32*E^x*x + 4*E^(2*x)*x))/(9 + 6*E^(2 + 2*x) + E^(4 + 4*x) + E^(-122 + 32*E^x - 2*E^(2*x) + 2*x)*x^2 + E^(-61 + 16*E^x - E^(2*x) + x)*(-6*x - 2*E^(2 + 2*x)*x)),x]","-\frac{2 e^{e^{2 x}+61}}{-e^{x+16 e^x} x+3 e^{e^{2 x}+61}+e^{2 x+e^{2 x}+63}}","\frac{2}{e^{-\left(e^x-8\right)^2+x+3} x-e^{2 x+2}-3}",1,"(-2*E^(61 + E^(2*x)))/(3*E^(61 + E^(2*x)) + E^(63 + E^(2*x) + 2*x) - E^(16*E^x + x)*x)","A",1
1980,1,30,22,0.2205169,"\int \frac{-6-3 x-x^3 \log \left(4 e^e\right)}{3 x-e^x x^3+x^3 \log \left(4 e^e\right)} \, dx","Integrate[(-6 - 3*x - x^3*Log[4*E^E])/(3*x - E^x*x^3 + x^3*Log[4*E^E]),x]","\log \left(-e^x x^2+e x^2+x^2 \log (4)+3\right)-x-2 \log (x)","\log \left(\frac{3}{x^2}-e^x+\log \left(4 e^e\right)\right)-x",1,"-x - 2*Log[x] + Log[3 + E*x^2 - E^x*x^2 + x^2*Log[4]]","A",1
1981,1,69,30,0.0339507,"\int \frac{270+105 x+596 x^2+57 x^3+230 x^4-25 x^5+15 x^7+e^5 \left(600 x^2+60 x^3+480 x^4-50 x^5\right)+e^{10} \left(250 x^4-25 x^5\right)}{25 x^7} \, dx","Integrate[(270 + 105*x + 596*x^2 + 57*x^3 + 230*x^4 - 25*x^5 + 15*x^7 + E^5*(600*x^2 + 60*x^3 + 480*x^4 - 50*x^5) + E^10*(250*x^4 - 25*x^5))/(25*x^7),x]","\frac{1}{25} \left(-\frac{45}{x^6}-\frac{21}{x^5}+\frac{-149-150 e^5}{x^4}+\frac{-19-20 e^5}{x^3}-\frac{5 \left(23+48 e^5+25 e^{10}\right)}{x^2}+15 x+\frac{25 \left(1+e^5\right)^2}{x}\right)","\frac{(x-5) \left(\frac{x+3}{5 x^2}+e^5+1\right)^2}{x^2}+\frac{3 x}{5}",1,"(-45/x^6 - 21/x^5 + (-149 - 150*E^5)/x^4 + (-19 - 20*E^5)/x^3 - (5*(23 + 48*E^5 + 25*E^10))/x^2 + (25*(1 + E^5)^2)/x + 15*x)/25","B",1
1982,1,197,27,0.7600082,"\int \frac{18+9 x+8 x^3+e^{4 x-4 x^2} x^3+6 x^4+x^5+e^{2 x-2 x^2} \left(6+6 x-12 x^2+4 x^3+6 x^4\right)}{9 x^3+e^{4 x-4 x^2} x^3+6 x^4+x^5+e^{2 x-2 x^2} \left(6 x^3+2 x^4\right)} \, dx","Integrate[(18 + 9*x + 8*x^3 + E^(4*x - 4*x^2)*x^3 + 6*x^4 + x^5 + E^(2*x - 2*x^2)*(6 + 6*x - 12*x^2 + 4*x^3 + 6*x^4))/(9*x^3 + E^(4*x - 4*x^2)*x^3 + 6*x^4 + x^5 + E^(2*x - 2*x^2)*(6*x^3 + 2*x^4)),x]","\frac{1}{450} \left(\frac{540}{x^3}+\frac{4 (17 x+838)}{4 x^2+10 x-5}+\frac{3564}{x^2}+\frac{45 (760 x+2263)}{\left(4 x^2+10 x-5\right)^2}+\frac{19440}{x}\right)+\frac{e^{2 x} \left(7200 x^8+36000 x^7-284312 x^6-1671312 x^5-1516290 x^4+1601885 x^3-162000 x^2-35100 x-13500\right)+e^{2 x^2} \left(7200 x^9+57600 x^8-169112 x^7-2488248 x^6-6524826 x^5-3099985 x^4+4573905 x^3-386100 x^2-152550 x-40500\right)}{450 x^3 \left(4 x^2+10 x-5\right)^2 \left(e^{2 x^2} (x+3)+e^{2 x}\right)}","x+\frac{x-\frac{3}{x}}{\left(x+e^{(2-2 x) x}+3\right) x}",1,"(540/x^3 + 3564/x^2 + 19440/x + (45*(2263 + 760*x))/(-5 + 10*x + 4*x^2)^2 + (4*(838 + 17*x))/(-5 + 10*x + 4*x^2))/450 + (E^(2*x)*(-13500 - 35100*x - 162000*x^2 + 1601885*x^3 - 1516290*x^4 - 1671312*x^5 - 284312*x^6 + 36000*x^7 + 7200*x^8) + E^(2*x^2)*(-40500 - 152550*x - 386100*x^2 + 4573905*x^3 - 3099985*x^4 - 6524826*x^5 - 2488248*x^6 - 169112*x^7 + 57600*x^8 + 7200*x^9))/(450*x^3*(-5 + 10*x + 4*x^2)^2*(E^(2*x) + E^(2*x^2)*(3 + x)))","B",1
1983,1,28,27,0.1612689,"\int \frac{-2 x+2 e^{2 x} x+e^x \left(2-2 x^2\right)+\left(e^{2 x} \left(4 x+2 x^2\right)+e^x \left(-4 x^2-2 x^3\right)\right) \log (x)+\left(-2 x+e^x (1+x)+\left(-2 e^x x^2+e^{2 x} \left(x+x^2\right)\right) \log (x)\right) \log \left(\frac{2}{x^2+2 e^x x^3 \log (x)+e^{2 x} x^4 \log ^2(x)}\right)}{\left(1+e^x x \log (x)\right) \log ^2\left(\frac{2}{x^2+2 e^x x^3 \log (x)+e^{2 x} x^4 \log ^2(x)}\right)} \, dx","Integrate[(-2*x + 2*E^(2*x)*x + E^x*(2 - 2*x^2) + (E^(2*x)*(4*x + 2*x^2) + E^x*(-4*x^2 - 2*x^3))*Log[x] + (-2*x + E^x*(1 + x) + (-2*E^x*x^2 + E^(2*x)*(x + x^2))*Log[x])*Log[2/(x^2 + 2*E^x*x^3*Log[x] + E^(2*x)*x^4*Log[x]^2)])/((1 + E^x*x*Log[x])*Log[2/(x^2 + 2*E^x*x^3*Log[x] + E^(2*x)*x^4*Log[x]^2)]^2),x]","\frac{\left(e^x-x\right) x}{\log \left(\frac{2}{x^2 \left(e^x x \log (x)+1\right)^2}\right)}","\frac{\left(e^x-x\right) x}{\log \left(\frac{2}{\left(e^x x^2 \log (x)+x\right)^2}\right)}",1,"((E^x - x)*x)/Log[2/(x^2*(1 + E^x*x*Log[x])^2)]","A",1
1984,1,33,22,0.4596706,"\int \frac{\exp \left(-2 x-\log ^4(3)+2 x \log ^2(3) \log (\log (x))-x^2 \log ^2(\log (x))\right) \left(2 \log ^2(3)-2 \log (x)+\left(-2 x+2 \log ^2(3) \log (x)\right) \log (\log (x))-2 x \log (x) \log ^2(\log (x))\right)}{\log (x)} \, dx","Integrate[(E^(-2*x - Log[3]^4 + 2*x*Log[3]^2*Log[Log[x]] - x^2*Log[Log[x]]^2)*(2*Log[3]^2 - 2*Log[x] + (-2*x + 2*Log[3]^2*Log[x])*Log[Log[x]] - 2*x*Log[x]*Log[Log[x]]^2))/Log[x],x]","e^{-x^2 \log ^2(\log (x))-2 x-\log ^4(3)} \log ^{2 x \log ^2(3)}(x)","e^{-2 x-\left(x \log (\log (x))-\log ^2(3)\right)^2}",1,"E^(-2*x - Log[3]^4 - x^2*Log[Log[x]]^2)*Log[x]^(2*x*Log[3]^2)","A",1
1985,1,14,15,0.0013796,"\int \frac{e^5-2 x^3}{x^2} \, dx","Integrate[(E^5 - 2*x^3)/x^2,x]","-x^2-\frac{e^5}{x}","-x^2-\frac{e^5}{x}-2",1,"-(E^5/x) - x^2","A",1
1986,1,32,29,0.3048084,"\int \frac{-8 x^2+2 x^3+e^{2 e^{2 x}+2 x} \left(-16 x+4 x^2\right)+e^x \left(-48 x-46 x^2+6 x^3+2 x^4\right)+e^{2 x} \left(-40-248 x-28 x^2+14 x^3+2 x^4\right)+\left(e^{2 x} \left(8+88 x-6 x^2-4 x^3\right)+e^x \left(8 x+6 x^2-2 x^3\right)\right) \log \left(\frac{-12+3 x}{x}\right)+e^{2 x} \left(-8 x+2 x^2\right) \log ^2\left(\frac{-12+3 x}{x}\right)+e^{e^{2 x}} \left(-8 x+2 x^2+e^x \left(-8-48 x+4 x^2+2 x^3\right)+e^{2 x} \left(-16 x^2+4 x^3\right)+e^{3 x} \left(-80 x+4 x^2+4 x^3\right)+\left(e^{3 x} \left(16 x-4 x^2\right)+e^x \left(8 x-2 x^2\right)\right) \log \left(\frac{-12+3 x}{x}\right)\right)}{-4 x+x^2} \, dx","Integrate[(-8*x^2 + 2*x^3 + E^(2*E^(2*x) + 2*x)*(-16*x + 4*x^2) + E^x*(-48*x - 46*x^2 + 6*x^3 + 2*x^4) + E^(2*x)*(-40 - 248*x - 28*x^2 + 14*x^3 + 2*x^4) + (E^(2*x)*(8 + 88*x - 6*x^2 - 4*x^3) + E^x*(8*x + 6*x^2 - 2*x^3))*Log[(-12 + 3*x)/x] + E^(2*x)*(-8*x + 2*x^2)*Log[(-12 + 3*x)/x]^2 + E^E^(2*x)*(-8*x + 2*x^2 + E^x*(-8 - 48*x + 4*x^2 + 2*x^3) + E^(2*x)*(-16*x^2 + 4*x^3) + E^(3*x)*(-80*x + 4*x^2 + 4*x^3) + (E^(3*x)*(16*x - 4*x^2) + E^x*(8*x - 2*x^2))*Log[(-12 + 3*x)/x]))/(-4*x + x^2),x]","\left(x+e^{e^{2 x}}+e^x (x+5)-e^x \log \left(\frac{3 (x-4)}{x}\right)\right)^2","\left(x+e^{e^{2 x}}+e^x \left(x-\log \left(\frac{3 (x-4)}{x}\right)+5\right)\right)^2",1,"(E^E^(2*x) + x + E^x*(5 + x) - E^x*Log[(3*(-4 + x))/x])^2","A",1
1987,1,89,25,0.2480776,"\int \frac{64 e^3+e^3 (384+192 x) \log (2)+e^3 \left(576+576 x+108 x^2\right) \log ^2(2)+e^x \left(-64-64 x+\left(-384-576 x-96 x^2\right) \log (2)+\left(-576-1152 x-396 x^2-36 x^3\right) \log ^2(2)\right)}{e^3 \log ^2(2)} \, dx","Integrate[(64*E^3 + E^3*(384 + 192*x)*Log[2] + E^3*(576 + 576*x + 108*x^2)*Log[2]^2 + E^x*(-64 - 64*x + (-384 - 576*x - 96*x^2)*Log[2] + (-576 - 1152*x - 396*x^2 - 36*x^3)*Log[2]^2))/(E^3*Log[2]^2),x]","-\frac{4 \left(e^x x \left(x^2 \log ^2(8)+x \log (8) (8+\log (16777216))+16+6 \log ^2(8)-\log (8) \log (4096)+\log (4096)+21 \log (2) (4+\log (64))\right)-\frac{1}{2} e^3 x \left(2 x^2 \log ^2(8)+x \log (4096) (4+\log (4096))+2 (4+\log (4096))^2\right)\right)}{e^3 \log ^2(2)}","\left(x-e^{x-3} x\right) \left(6 (x+4)+\frac{8}{\log (2)}\right)^2",1,"(-4*(-1/2*(E^3*x*(2*x^2*Log[8]^2 + x*Log[4096]*(4 + Log[4096]) + 2*(4 + Log[4096])^2)) + E^x*x*(16 + 6*Log[8]^2 + x^2*Log[8]^2 + 21*Log[2]*(4 + Log[64]) + Log[4096] - Log[8]*Log[4096] + x*Log[8]*(8 + Log[16777216]))))/(E^3*Log[2]^2)","B",0
1988,1,33,26,0.0878845,"\int \frac{1}{2} \left(72+e^{\frac{1}{2} \left(8 e^{12}-3 x\right)} (2-3 x)+192 x+96 x^2+e^{\frac{1}{4} \left(8 e^{12}-3 x\right)} \left(-24-14 x+12 x^2\right)\right) \, dx","Integrate[(72 + E^((8*E^12 - 3*x)/2)*(2 - 3*x) + 192*x + 96*x^2 + E^((8*E^12 - 3*x)/4)*(-24 - 14*x + 12*x^2))/2,x]","e^{-3 x/2} x \left(e^{2 e^{12}}-2 e^{3 x/4} (2 x+3)\right)^2","x \left(x-e^{2 e^{12}-\frac{3 x}{4}}+3 (x+2)\right)^2",1,"(x*(E^(2*E^12) - 2*E^((3*x)/4)*(3 + 2*x))^2)/E^((3*x)/2)","A",1
1989,1,22,22,0.0047166,"\int \frac{-1-\log \left(\frac{\log \left(\frac{1}{4} \log ^2\left(1+e^{16}\right)\right)}{x}\right)}{x^2} \, dx","Integrate[(-1 - Log[Log[Log[1 + E^16]^2/4]/x])/x^2,x]","\frac{\log \left(\frac{\log \left(\frac{1}{4} \log ^2\left(1+e^{16}\right)\right)}{x}\right)}{x}","\frac{\log \left(\frac{\log \left(\frac{1}{4} \log ^2\left(1+e^{16}\right)\right)}{x}\right)}{x}",1,"Log[Log[Log[1 + E^16]^2/4]/x]/x","A",1
1990,1,16,17,0.0016718,"\int \frac{1}{10} (-629+320 x-160 \log (x)) \, dx","Integrate[(-629 + 320*x - 160*Log[x])/10,x]","16 x^2-\frac{469 x}{10}-16 x \log (x)","\frac{11 x}{10}+16 x (x-\log (x)-3)-3",1,"(-469*x)/10 + 16*x^2 - 16*x*Log[x]","A",1
1991,1,14,30,0.0077466,"\int \frac{10 e^{-7+x}}{-3+e^{-7+x}} \, dx","Integrate[(10*E^(-7 + x))/(-3 + E^(-7 + x)),x]","10 \log \left(3 e^7-e^x\right)","5 \log \left(\left(3-e^{x-7}\right)^2 (\log (3-\log (5))+i \pi )^2\right)",1,"10*Log[3*E^7 - E^x]","A",1
1992,1,15,11,0.00008,"\int \left(2-2 x+\log \left(\frac{13}{2}\right)\right) \, dx","Integrate[2 - 2*x + Log[13/2],x]","-x^2+2 x+x \log \left(\frac{13}{2}\right)","x \left(-x+2+\log \left(\frac{13}{2}\right)\right)",1,"2*x - x^2 + x*Log[13/2]","A",1
1993,1,21,25,0.8062592,"\int -\frac{48 \exp \left(e^{\frac{3}{\log ^2\left(\frac{1}{4} \left(2+\log \left(x^2\right)\right)\right)}}+\frac{3}{\log ^2\left(\frac{1}{4} \left(2+\log \left(x^2\right)\right)\right)}\right)}{\left(2 x+x \log \left(x^2\right)\right) \log ^3\left(\frac{1}{4} \left(2+\log \left(x^2\right)\right)\right)} \, dx","Integrate[(-48*E^(E^(3/Log[(2 + Log[x^2])/4]^2) + 3/Log[(2 + Log[x^2])/4]^2))/((2*x + x*Log[x^2])*Log[(2 + Log[x^2])/4]^3),x]","4 e^{e^{\frac{3}{\log ^2\left(\frac{1}{4} \left(\log \left(x^2\right)+2\right)\right)}}}","4 e^{e^{\frac{3}{\log ^2\left(\frac{1}{4} \left(\log \left(x^2\right)+2\right)\right)}}}+1+\log (2)",1,"4*E^E^(3/Log[(2 + Log[x^2])/4]^2)","A",1
1994,1,60,22,0.0059421,"\int \frac{-3840+e^5 (-3840-1280 x)-1280 x+e^{10} \left(11520+9600 x+2880 x^2+320 x^3\right)}{e^{10}} \, dx","Integrate[(-3840 + E^5*(-3840 - 1280*x) - 1280*x + E^10*(11520 + 9600*x + 2880*x^2 + 320*x^3))/E^10,x]","\frac{320 \left(\frac{e^{10} x^4}{4}+3 e^{10} x^3+15 e^{10} x^2-2 e^5 x^2-2 x^2+36 e^{10} x-12 e^5 x-12 x\right)}{e^{10}}","80 \left(-(x+3)^2+\left(1+\frac{2}{e^5}\right)^2-4\right)^2",1,"(320*(-12*x - 12*E^5*x + 36*E^10*x - 2*x^2 - 2*E^5*x^2 + 15*E^10*x^2 + 3*E^10*x^3 + (E^10*x^4)/4))/E^10","B",1
1995,1,13,13,0.0072598,"\int \frac{3145728 e^{\frac{65536}{x^{48}}}-4 x^{49}}{x^{49}} \, dx","Integrate[(3145728*E^(65536/x^48) - 4*x^49)/x^49,x]","-e^{\frac{65536}{x^{48}}}-4 x","-e^{\frac{65536}{x^{48}}}-4 x",1,"-E^(65536/x^48) - 4*x","A",1
1996,1,42,32,0.4233545,"\int \frac{-1500 e^{15-3 x} x^5+e^{20-4 x} \left(-2500 x^5+2500 x^6\right)+e^x \left(e^{20-4 x} \left(2500 x^3-2500 x^4\right)+e^{15-3 x} \left(-1500 x^3+1500 x^4\right)\right)+\left(-2700 e^{10-2 x} x^5+e^{15-3 x} \left(-6000 x^5+4500 x^6\right)+e^x \left(e^{15-3 x} \left(6000 x^3-4500 x^4\right)+e^{10-2 x} \left(-2700 x^3+2700 x^4\right)\right)\right) \log \left(\frac{-e^x+x^2}{2 x}\right)+\left(-1620 e^{5-x} x^5+e^{10-2 x} \left(-5400 x^5+2700 x^6\right)+e^x \left(e^{10-2 x} \left(5400 x^3-2700 x^4\right)+e^{5-x} \left(-1620 x^3+1620 x^4\right)\right)\right) \log ^2\left(\frac{-e^x+x^2}{2 x}\right)+\left(-324 x^5+e^{5-x} \left(-2160 x^5+540 x^6\right)+e^x \left(-324 x^3+324 x^4+e^{5-x} \left(2160 x^3-540 x^4\right)\right)\right) \log ^3\left(\frac{-e^x+x^2}{2 x}\right)+\left(324 e^x x^3-324 x^5\right) \log ^4\left(\frac{-e^x+x^2}{2 x}\right)}{81 e^x-81 x^2} \, dx","Integrate[(-1500*E^(15 - 3*x)*x^5 + E^(20 - 4*x)*(-2500*x^5 + 2500*x^6) + E^x*(E^(20 - 4*x)*(2500*x^3 - 2500*x^4) + E^(15 - 3*x)*(-1500*x^3 + 1500*x^4)) + (-2700*E^(10 - 2*x)*x^5 + E^(15 - 3*x)*(-6000*x^5 + 4500*x^6) + E^x*(E^(15 - 3*x)*(6000*x^3 - 4500*x^4) + E^(10 - 2*x)*(-2700*x^3 + 2700*x^4)))*Log[(-E^x + x^2)/(2*x)] + (-1620*E^(5 - x)*x^5 + E^(10 - 2*x)*(-5400*x^5 + 2700*x^6) + E^x*(E^(10 - 2*x)*(5400*x^3 - 2700*x^4) + E^(5 - x)*(-1620*x^3 + 1620*x^4)))*Log[(-E^x + x^2)/(2*x)]^2 + (-324*x^5 + E^(5 - x)*(-2160*x^5 + 540*x^6) + E^x*(-324*x^3 + 324*x^4 + E^(5 - x)*(2160*x^3 - 540*x^4)))*Log[(-E^x + x^2)/(2*x)]^3 + (324*E^x*x^3 - 324*x^5)*Log[(-E^x + x^2)/(2*x)]^4)/(81*E^x - 81*x^2),x]","\frac{1}{81} e^{-4 x} x^4 \left(3 e^x \log \left(\frac{x^2-e^x}{2 x}\right)+5 e^5\right)^4","\left(\frac{5}{3} e^{5-x} x+x \log \left(\frac{1}{2} \left(x-\frac{e^x}{x}\right)\right)\right)^4",1,"(x^4*(5*E^5 + 3*E^x*Log[(-E^x + x^2)/(2*x)])^4)/(81*E^(4*x))","A",1
1997,1,25,25,0.5387366,"\int \frac{\left(6 e^x-4 e^{2 x} x\right) \log (x)+\left(-3 e^x+2 e^{2 x} x+e^x (3+3 x) \log (x)\right) \log \left(x^2\right)}{\left(9-12 e^x x+4 e^{2 x} x^2\right) \log ^2(x)} \, dx","Integrate[((6*E^x - 4*E^(2*x)*x)*Log[x] + (-3*E^x + 2*E^(2*x)*x + E^x*(3 + 3*x)*Log[x])*Log[x^2])/((9 - 12*E^x*x + 4*E^(2*x)*x^2)*Log[x]^2),x]","\frac{e^x x \log \left(x^2\right)}{\left(3-2 e^x x\right) \log (x)}+1","\frac{x \log \left(x^2\right)}{\left(x-3 \left(x-e^{-x}\right)\right) \log (x)}",1,"1 + (E^x*x*Log[x^2])/((3 - 2*E^x*x)*Log[x])","A",1
1998,0,0,25,0.8486337,"\int \frac{e^{x \log (3) \log \left(x^2 \log \left(x^2\right)\right)} \left(\left(-4 x-2 x^2\right) \log (3)+\left(4+3 x+\left(-4 x-2 x^2\right) \log (3)\right) \log \left(x^2\right)+\left(-2 x-x^2\right) \log (3) \log \left(x^2\right) \log \left(x^2 \log \left(x^2\right)\right)\right)}{\left(4 x^3+4 x^4+x^5\right) \log \left(x^2\right)} \, dx","Integrate[(E^(x*Log[3]*Log[x^2*Log[x^2]])*((-4*x - 2*x^2)*Log[3] + (4 + 3*x + (-4*x - 2*x^2)*Log[3])*Log[x^2] + (-2*x - x^2)*Log[3]*Log[x^2]*Log[x^2*Log[x^2]]))/((4*x^3 + 4*x^4 + x^5)*Log[x^2]),x]","\int \frac{e^{x \log (3) \log \left(x^2 \log \left(x^2\right)\right)} \left(\left(-4 x-2 x^2\right) \log (3)+\left(4+3 x+\left(-4 x-2 x^2\right) \log (3)\right) \log \left(x^2\right)+\left(-2 x-x^2\right) \log (3) \log \left(x^2\right) \log \left(x^2 \log \left(x^2\right)\right)\right)}{\left(4 x^3+4 x^4+x^5\right) \log \left(x^2\right)} \, dx","-\frac{e^{x \log (3) \log \left(x^2 \log \left(x^2\right)\right)}}{x^2 (x+2)}",1,"Integrate[(E^(x*Log[3]*Log[x^2*Log[x^2]])*((-4*x - 2*x^2)*Log[3] + (4 + 3*x + (-4*x - 2*x^2)*Log[3])*Log[x^2] + (-2*x - x^2)*Log[3]*Log[x^2]*Log[x^2*Log[x^2]]))/((4*x^3 + 4*x^4 + x^5)*Log[x^2]), x]","F",-1
1999,1,18,20,0.1144674,"\int \frac{8+30 x^3}{\left(-10 x-40 x^3+75 x^4\right) \log \left(\frac{-2-8 x^2+15 x^3}{2 x^2}\right)} \, dx","Integrate[(8 + 30*x^3)/((-10*x - 40*x^3 + 75*x^4)*Log[(-2 - 8*x^2 + 15*x^3)/(2*x^2)]),x]","\frac{2}{5} \log \left(\log \left(-\frac{1}{x^2}+\frac{15 x}{2}-4\right)\right)","\frac{1}{5} \log \left(\log ^2\left(-\frac{1}{x^2}+\frac{15 x}{2}-4\right)\right)",1,"(2*Log[Log[-4 - x^(-2) + (15*x)/2]])/5","A",1
2000,1,30,28,0.1077944,"\int \frac{e^{6+2 e^x-2 x+2 x^2}-x^3+x^4+e^{3+e^x-x+x^2} \left(-x-3 x^2+e^x x^2+2 x^3\right)}{e^{6+2 e^x-2 x+2 x^2} x-2 e^{3+e^x-x+x^2} x^3+x^5} \, dx","Integrate[(E^(6 + 2*E^x - 2*x + 2*x^2) - x^3 + x^4 + E^(3 + E^x - x + x^2)*(-x - 3*x^2 + E^x*x^2 + 2*x^3))/(E^(6 + 2*E^x - 2*x + 2*x^2)*x - 2*E^(3 + E^x - x + x^2)*x^3 + x^5),x]","\log (x)-\frac{e^x x}{e^{x^2+e^x+3}-e^x x^2}","\frac{x}{x^2-e^{x^2-x+e^x+3}}+\log (2 x)",1,"-((E^x*x)/(E^(3 + E^x + x^2) - E^x*x^2)) + Log[x]","A",1
2001,1,29,21,0.7001742,"\int \frac{25-100 e^{-1+4 x}+e^{e^{-1+4 x}} \left(-6+2 x+x^2\right)}{25+e^{e^{-1+4 x}} \left(-6+x^2\right)} \, dx","Integrate[(25 - 100*E^(-1 + 4*x) + E^E^(-1 + 4*x)*(-6 + 2*x + x^2))/(25 + E^E^(-1 + 4*x)*(-6 + x^2)),x]","\log \left(e^{e^{4 x-1}} \left(x^2-6\right)+25\right)+x-e^{4 x-1}","\log \left(x^2+25 e^{-e^{4 x-1}}-6\right)+x",1,"-E^(-1 + 4*x) + x + Log[25 + E^E^(-1 + 4*x)*(-6 + x^2)]","A",1
2002,1,22,22,0.0180013,"\int \frac{20 e^2 x^2-20 e^2 x^2 \log (x \log (4))+\left(3+3 x^2\right) \log ^2(x \log (4))}{3 x^2 \log ^2(x \log (4))} \, dx","Integrate[(20*E^2*x^2 - 20*E^2*x^2*Log[x*Log[4]] + (3 + 3*x^2)*Log[x*Log[4]]^2)/(3*x^2*Log[x*Log[4]]^2),x]","x-\frac{1}{x}-\frac{20 e^2 x}{3 \log (x \log (4))}","x-\frac{1}{x}-\frac{20 e^2 x}{3 \log (x \log (4))}",1,"-x^(-1) + x - (20*E^2*x)/(3*Log[x*Log[4]])","A",1
2003,1,15,15,0.0000761,"\int (3072+1536 x+21504 \log (\log (4))) \, dx","Integrate[3072 + 1536*x + 21504*Log[Log[4]],x]","768 x^2+3072 x+21504 x \log (\log (4))","12 (8 (x+14 \log (\log (4)))+16)^2",1,"3072*x + 768*x^2 + 21504*x*Log[Log[4]]","A",1
2004,1,20,23,0.0867029,"\int \frac{e^{\frac{x}{\log (x)}} \log \left(\frac{1}{2} \left(4-e^5+2 e^{\frac{x}{\log (x)}}\right)\right) (-4+4 \log (x))}{2 e^{\frac{x}{\log (x)}} \log ^2(x)+\left(4-e^5\right) \log ^2(x)} \, dx","Integrate[(E^(x/Log[x])*Log[(4 - E^5 + 2*E^(x/Log[x]))/2]*(-4 + 4*Log[x]))/(2*E^(x/Log[x])*Log[x]^2 + (4 - E^5)*Log[x]^2),x]","\log ^2\left(e^{\frac{x}{\log (x)}}+2-\frac{e^5}{2}\right)","\log ^2\left(e^{\frac{x}{\log (x)}}+\frac{1}{2} \left(4-e^5\right)\right)",1,"Log[2 - E^5/2 + E^(x/Log[x])]^2","A",1
2005,1,26,16,0.14847,"\int \frac{90-3 e^{\frac{1}{2} (-10-3 x)} x^2}{-90 x+2 e^{\frac{1}{2} (-10-3 x)} x^2} \, dx","Integrate[(90 - 3*E^((-10 - 3*x)/2)*x^2)/(-90*x + 2*E^((-10 - 3*x)/2)*x^2),x]","-\frac{3 x}{2}+\log \left(45 e^{\frac{3 x}{2}+5}-x\right)-\log (x)","\log \left(e^{-\frac{3 x}{2}-5}-\frac{45}{x}\right)",1,"(-3*x)/2 + Log[45*E^(5 + (3*x)/2) - x] - Log[x]","A",1
2006,1,15,17,0.0165074,"\int \frac{-8+8 x}{e^{2 e^2} x+2 e^{e^2} x^2+x^3+\left(-2 e^{e^2} x-2 x^2\right) \log (x)+x \log ^2(x)} \, dx","Integrate[(-8 + 8*x)/(E^(2*E^2)*x + 2*E^E^2*x^2 + x^3 + (-2*E^E^2*x - 2*x^2)*Log[x] + x*Log[x]^2),x]","-\frac{8}{x-\log (x)+e^{e^2}}","\frac{8}{-x+\log (x)-e^{e^2}}",1,"-8/(E^E^2 + x - Log[x])","A",1
2007,1,24,24,0.1058167,"\int \frac{-72 x+20 x^2-36 x^3+18 x \log \left(15 e^{\frac{1}{81} \left(25-90 x+81 x^2\right)}\right)}{-576+432 \log \left(15 e^{\frac{1}{81} \left(25-90 x+81 x^2\right)}\right)-108 \log ^2\left(15 e^{\frac{1}{81} \left(25-90 x+81 x^2\right)}\right)+9 \log ^3\left(15 e^{\frac{1}{81} \left(25-90 x+81 x^2\right)}\right)} \, dx","Integrate[(-72*x + 20*x^2 - 36*x^3 + 18*x*Log[15*E^((25 - 90*x + 81*x^2)/81)])/(-576 + 432*Log[15*E^((25 - 90*x + 81*x^2)/81)] - 108*Log[15*E^((25 - 90*x + 81*x^2)/81)]^2 + 9*Log[15*E^((25 - 90*x + 81*x^2)/81)]^3),x]","\frac{x^2}{\left(\log \left(15 e^{\frac{1}{81} (5-9 x)^2}\right)-4\right)^2}","\frac{x^2}{\left(4-\log \left(15 e^{\left(\frac{5}{9}-x\right)^2}\right)\right)^2}",1,"x^2/(-4 + Log[15*E^((5 - 9*x)^2/81)])^2","A",1
2008,1,19,22,0.0533687,"\int \frac{-16+8 x^2+e^{5/x} \left(-9+2 x^2\right)}{4 x^2+e^{5/x} x^2} \, dx","Integrate[(-16 + 8*x^2 + E^(5/x)*(-9 + 2*x^2))/(4*x^2 + E^(5/x)*x^2),x]","2 x+\frac{4}{x}+\log \left(e^{5/x}+4\right)","\frac{x^2+x+4}{x}+x+\log \left(e^{5/x}+4\right)",1,"4/x + 2*x + Log[4 + E^(5/x)]","A",1
2009,1,16,23,0.0887266,"\int \frac{7+4 e^x+4 x}{36+4 e^x+7 x+2 x^2} \, dx","Integrate[(7 + 4*E^x + 4*x)/(36 + 4*E^x + 7*x + 2*x^2),x]","\log \left(2 x^2+7 x+4 e^x+36\right)","\log \left(\frac{1}{3} \left(\frac{x^2}{2}+\frac{7 x}{4}+e^x\right)+3\right)",1,"Log[36 + 4*E^x + 7*x + 2*x^2]","A",1
2010,1,23,18,0.0467549,"\int \frac{-6368+6352 x+e^{10+2 x} x+16 x^2+e^{5+x} \left(4-1596 x-4 x^2\right)+\left(16-16 x+4 e^{5+x} x\right) \log (x)}{8 x} \, dx","Integrate[(-6368 + 6352*x + E^(10 + 2*x)*x + 16*x^2 + E^(5 + x)*(4 - 1596*x - 4*x^2) + (16 - 16*x + 4*E^(5 + x)*x)*Log[x])/(8*x),x]","\frac{1}{16} \left(4 (x+398)-e^{x+5}-4 \log (x)\right)^2","\left(x-\frac{e^{x+5}}{4}-\log (x)+398\right)^2",1,"(-E^(5 + x) + 4*(398 + x) - 4*Log[x])^2/16","A",1
2011,1,19,19,3.0848058,"\int e^{-x} \left(e^{4 e^{-x} (4+e)} \left(16 e^x-256 x-64 e x\right)+e^x \left(4096+8192 x+4608 x^2+1024 x^3+80 x^4\right)+e^{3 e^{-x} (4+e)} \left(-3072 x-768 x^2+e^x (256+128 x)+e \left(-768 x-192 x^2\right)\right)+e^{2 e^{-x} (4+e)} \left(-12288 x-6144 x^2-768 x^3+e^x \left(1536+1536 x+288 x^2\right)+e \left(-3072 x-1536 x^2-192 x^3\right)\right)+e^{e^{-x} (4+e)} \left(-16384 x-12288 x^2-3072 x^3-256 x^4+e^x \left(4096+6144 x+2304 x^2+256 x^3\right)+e \left(-4096 x-3072 x^2-768 x^3-64 x^4\right)\right)\right) \, dx","Integrate[(E^((4*(4 + E))/E^x)*(16*E^x - 256*x - 64*E*x) + E^x*(4096 + 8192*x + 4608*x^2 + 1024*x^3 + 80*x^4) + E^((3*(4 + E))/E^x)*(-3072*x - 768*x^2 + E^x*(256 + 128*x) + E*(-768*x - 192*x^2)) + E^((2*(4 + E))/E^x)*(-12288*x - 6144*x^2 - 768*x^3 + E^x*(1536 + 1536*x + 288*x^2) + E*(-3072*x - 1536*x^2 - 192*x^3)) + E^((4 + E)/E^x)*(-16384*x - 12288*x^2 - 3072*x^3 - 256*x^4 + E^x*(4096 + 6144*x + 2304*x^2 + 256*x^3) + E*(-4096*x - 3072*x^2 - 768*x^3 - 64*x^4)))/E^x,x]","16 x \left(x+e^{(4+e) e^{-x}}+4\right)^4","16 x \left(x+e^{(4+e) e^{-x}}+4\right)^4",1,"16*x*(4 + E^((4 + E)/E^x) + x)^4","A",1
2012,1,23,25,0.1262894,"\int \frac{18 e^{3+2 x}+8 e^3 x^2+e^{3+x} \left(-16 x-10 x^2\right)}{e^{2 x}-2 e^x x+x^2} \, dx","Integrate[(18*E^(3 + 2*x) + 8*E^3*x^2 + E^(3 + x)*(-16*x - 10*x^2))/(E^(2*x) - 2*E^x*x + x^2),x]","2 e^3 \left(\frac{5 x^2}{e^x-x}+9 x\right)","2 e^3 \left(\left(\frac{5 x}{e^x-x}+5\right) x+4 x\right)",1,"2*E^3*(9*x + (5*x^2)/(E^x - x))","A",1
2013,1,27,26,0.0082204,"\int \left(1+4 x+\sqrt{e} \left(-6 x-4 x^3\right)\right) \, dx","Integrate[1 + 4*x + Sqrt[E]*(-6*x - 4*x^3),x]","-\sqrt{e} x^4-3 \sqrt{e} x^2+2 x^2+x","x \left(-\sqrt{e} x \left(x+\frac{3}{2 x}\right)^2+2 x+1\right)",1,"x + 2*x^2 - 3*Sqrt[E]*x^2 - Sqrt[E]*x^4","A",1
2014,1,30,25,0.1782744,"\int \frac{256+16 e-64 x+24 x^2-2 x^3}{\left(-4096+2944 x-704 x^2+52 x^3+x^4+e (-16+4 x)\right) \log ^2\left(\frac{1024+4 e-480 x+56 x^2+x^3}{64-32 x+4 x^2}\right)} \, dx","Integrate[(256 + 16*E - 64*x + 24*x^2 - 2*x^3)/((-4096 + 2944*x - 704*x^2 + 52*x^3 + x^4 + E*(-16 + 4*x))*Log[(1024 + 4*E - 480*x + 56*x^2 + x^3)/(64 - 32*x + 4*x^2)]^2),x]","\frac{2}{\log \left(\frac{x^3+56 x^2-480 x+4 e+1024}{4 (x-4)^2}\right)}","\frac{2}{\log \left(\frac{x}{4}+\frac{4 x+e}{(4-x)^2}+16\right)}",1,"2/Log[(1024 + 4*E - 480*x + 56*x^2 + x^3)/(4*(-4 + x)^2)]","A",1
2015,1,25,25,0.0208927,"\int \frac{-12+e^{\frac{1}{4} (40+\log (2 x))} x}{4 x^2} \, dx","Integrate[(-12 + E^((40 + Log[2*x])/4)*x)/(4*x^2),x]","\frac{1}{4} \left(4 \sqrt[4]{2} e^{10} \sqrt[4]{x}+\frac{12}{x}\right)","\sqrt[4]{2} e^{10} \sqrt[4]{x}+\frac{3}{x}-e^8",1,"(12/x + 4*2^(1/4)*E^10*x^(1/4))/4","A",1
2016,1,9,9,0.0031659,"\int 1125 e^{-2+225 x^5} x^4 \, dx","Integrate[1125*E^(-2 + 225*x^5)*x^4,x]","e^{225 x^5-2}","e^{225 x^5-2}",1,"E^(-2 + 225*x^5)","A",1
2017,1,23,23,0.5150906,"\int \frac{18-9 \log \left(x^2\right)+\left(-x+e^{e^2} x-9 \log \left(x^2\right)\right) \log \left(\frac{x-e^{e^2} x+9 \log \left(x^2\right)}{x}\right)}{x^3-e^{e^2} x^3+9 x^2 \log \left(x^2\right)} \, dx","Integrate[(18 - 9*Log[x^2] + (-x + E^E^2*x - 9*Log[x^2])*Log[(x - E^E^2*x + 9*Log[x^2])/x])/(x^3 - E^E^2*x^3 + 9*x^2*Log[x^2]),x]","\frac{\log \left(\frac{9 \log \left(x^2\right)}{x}-e^{e^2}+1\right)}{x}","\frac{\log \left(\frac{9 \log \left(x^2\right)}{x}-e^{e^2}+1\right)}{x}",1,"Log[1 - E^E^2 + (9*Log[x^2])/x]/x","A",1
2018,1,16,23,0.0556602,"\int \frac{e^{e^{\frac{4+\log (4)}{x}}+\frac{4+\log (4)}{x}} (4+\log (4))}{4 x^2} \, dx","Integrate[(E^(E^((4 + Log[4])/x) + (4 + Log[4])/x)*(4 + Log[4]))/(4*x^2),x]","-\frac{1}{4} e^{e^{\frac{4+\log (4)}{x}}}","\frac{1}{4} \left(-e^{e^{\frac{4+\log (4)}{x}}}+2+e^2\right)",1,"-1/4*E^E^((4 + Log[4])/x)","A",1
2019,1,20,19,1.2199483,"\int \frac{e^{\frac{-2-x}{\left(-x+2 x^3\right) \log (x)}} \left(-2-x+4 x^2+2 x^3+\left(-2+12 x^2+4 x^3\right) \log (x)\right)}{\left(x^2-4 x^4+4 x^6\right) \log ^2(x)} \, dx","Integrate[(E^((-2 - x)/((-x + 2*x^3)*Log[x]))*(-2 - x + 4*x^2 + 2*x^3 + (-2 + 12*x^2 + 4*x^3)*Log[x]))/((x^2 - 4*x^4 + 4*x^6)*Log[x]^2),x]","e^{\frac{x+2}{x \log (x)-2 x^3 \log (x)}}","e^{\frac{x+2}{\left(x-2 x^3\right) \log (x)}}",1,"E^((2 + x)/(x*Log[x] - 2*x^3*Log[x]))","A",1
2020,1,31,25,0.4803193,"\int e^{-e-x} \left(e^{7+x}+e^{e^{-x} x} \left(e^{2+x}+e^e (1-x)+e^2 \left(x-x^2\right)\right)\right) \, dx","Integrate[E^(-E - x)*(E^(7 + x) + E^(x/E^x)*(E^(2 + x) + E^E*(1 - x) + E^2*(x - x^2))),x]","e^{7-e} x+e^{e^{-x} x} \left(e^{2-e} x+1\right)","\left(e^{e^{-x} x}+e^5\right) \left(e^{2-e} x+1\right)",1,"E^(7 - E)*x + E^(x/E^x)*(1 + E^(2 - E)*x)","A",1
2021,1,28,35,0.2237252,"\int \frac{60+60 x+e^x \left(-16+24 x-9 x^2\right)+e^{x+e^x x} \left(16-8 x-15 x^2+9 x^3+e^x \left(16+8 x-23 x^2-6 x^3+9 x^4\right)\right)+e^x \left(-16+8 x+15 x^2-9 x^3\right) \log (1+x)}{16-8 x-15 x^2+9 x^3} \, dx","Integrate[(60 + 60*x + E^x*(-16 + 24*x - 9*x^2) + E^(x + E^x*x)*(16 - 8*x - 15*x^2 + 9*x^3 + E^x*(16 + 8*x - 23*x^2 - 6*x^3 + 9*x^4)) + E^x*(-16 + 8*x + 15*x^2 - 9*x^3)*Log[1 + x])/(16 - 8*x - 15*x^2 + 9*x^3),x]","e^{e^x x+x}-\frac{20}{3 x-4}-e^x \log (x+1)","e^{e^x x+x}+\frac{5}{\frac{x+4}{4}-x}-e^x \log (x+1)+4",1,"E^(x + E^x*x) - 20/(-4 + 3*x) - E^x*Log[1 + x]","A",1
2022,1,316,27,1.439829,"\int \frac{16+4 e^{2 x}+\left(-36-72 x-24 x^2\right) \log (3)+e^x \left(-16+\left(18+18 x-6 x^2-4 x^3\right) \log (3)-4 \log (4)\right)+\left(8+\left(-9-18 x-6 x^2\right) \log (3)\right) \log (4)+\log ^2(4)}{16+4 e^{2 x}+e^x (-16-4 \log (4))+8 \log (4)+\log ^2(4)} \, dx","Integrate[(16 + 4*E^(2*x) + (-36 - 72*x - 24*x^2)*Log[3] + E^x*(-16 + (18 + 18*x - 6*x^2 - 4*x^3)*Log[3] - 4*Log[4]) + (8 + (-9 - 18*x - 6*x^2)*Log[3])*Log[4] + Log[4]^2)/(16 + 4*E^(2*x) + E^x*(-16 - 4*Log[4]) + 8*Log[4] + Log[4]^2),x]","\frac{6 \log (3) \left(2 x \text{Li}_2\left(\frac{2 e^x}{4+\log (4)}\right)-2 \text{Li}_3\left(\frac{2 e^x}{4+\log (4)}\right)+x^2 \log \left(\frac{-2 e^x+4+\log (4)}{4+\log (4)}\right)\right)}{4+\log (4)}-\frac{\log (9) \left(-6 x \text{Li}_2\left(\frac{1}{2} e^{-x} (4+\log (4))\right)-6 \text{Li}_3\left(\frac{1}{2} e^{-x} (4+\log (4))\right)+x^2 \left(x+3 \log \left(1-\frac{1}{2} e^{-x} (4+\log (4))\right)\right)\right)}{4+\log (4)}-\frac{2 \log (27) \left(\text{Li}_2\left(\frac{2 e^x}{4+\log (4)}\right)+x \log \left(\frac{-2 e^x+4+\log (4)}{4+\log (4)}\right)\right)}{4+\log (4)}+\frac{3 \log (3) \left(x \left(x+2 \log \left(1-\frac{1}{2} e^{-x} (4+\log (4))\right)\right)-2 \text{Li}_2\left(\frac{1}{2} e^{-x} (4+\log (4))\right)\right)}{4+\log (4)}+\frac{x \left(x^2 \log (9)+x \log (19683)+\log (19683)\right)}{2 e^x-4-\log (4)}+x+\frac{\log \left(\frac{19683}{4}\right) \log \left(-2 e^x+4+\log (4)\right)}{4+\log (4)}+\frac{\log (4) \log \left(-2 e^x+4+\log (4)\right)}{4+\log (4)}-\frac{9 \log (3) \log \left(-2 e^x+4+\log (4)\right)}{4+\log (4)}","x+\frac{(x+3) (2 x+3) x \log (3)}{2 e^x-4-\log (4)}",1,"x + (x*(x^2*Log[9] + Log[19683] + x*Log[19683]))/(-4 + 2*E^x - Log[4]) - (9*Log[3]*Log[4 - 2*E^x + Log[4]])/(4 + Log[4]) + (Log[4]*Log[4 - 2*E^x + Log[4]])/(4 + Log[4]) + (Log[19683/4]*Log[4 - 2*E^x + Log[4]])/(4 + Log[4]) - (2*Log[27]*(x*Log[(4 - 2*E^x + Log[4])/(4 + Log[4])] + PolyLog[2, (2*E^x)/(4 + Log[4])]))/(4 + Log[4]) + (3*Log[3]*(x*(x + 2*Log[1 - (4 + Log[4])/(2*E^x)]) - 2*PolyLog[2, (4 + Log[4])/(2*E^x)]))/(4 + Log[4]) + (6*Log[3]*(x^2*Log[(4 - 2*E^x + Log[4])/(4 + Log[4])] + 2*x*PolyLog[2, (2*E^x)/(4 + Log[4])] - 2*PolyLog[3, (2*E^x)/(4 + Log[4])]))/(4 + Log[4]) - (Log[9]*(x^2*(x + 3*Log[1 - (4 + Log[4])/(2*E^x)]) - 6*x*PolyLog[2, (4 + Log[4])/(2*E^x)] - 6*PolyLog[3, (4 + Log[4])/(2*E^x)]))/(4 + Log[4])","C",1
2023,1,174,30,0.1845052,"\int \frac{150-x+e^{4-3 x^2+x^4} \left(-150+x+900 x^2-600 x^4\right)+\left(-50+e^{4-3 x^2+x^4} \left(50-300 x^2+200 x^4\right)\right) \log \left(-x+e^{4-3 x^2+x^4} x\right)}{-x+e^{4-3 x^2+x^4} x} \, dx","Integrate[(150 - x + E^(4 - 3*x^2 + x^4)*(-150 + x + 900*x^2 - 600*x^4) + (-50 + E^(4 - 3*x^2 + x^4)*(50 - 300*x^2 + 200*x^4))*Log[-x + E^(4 - 3*x^2 + x^4)*x])/(-x + E^(4 - 3*x^2 + x^4)*x),x]","-225 x^4+450 x^2+25 \log ^2\left(\left(e^{3 x^2}-e^{x^4+4}\right) x\right)-150 x^2 \log \left(\left(e^{x^4-3 x^2+4}-1\right) x\right)+50 \log \left(e^{3 x^2}-e^{x^4+4}\right) \left(3 x^2-\log \left(\left(e^{3 x^2}-e^{x^4+4}\right) x\right)+\log \left(\left(e^{x^4-3 x^2+4}-1\right) x\right)-3\right)+50 \log (x) \left(3 x^2-\log \left(\left(e^{3 x^2}-e^{x^4+4}\right) x\right)+\log \left(\left(e^{x^4-3 x^2+4}-1\right) x\right)-3\right)+x","25 \left(\log \left(e^{x^2+\left(2-x^2\right)^2} x-x\right)-3\right)^2+x",1,"x + 450*x^2 - 225*x^4 + 25*Log[(E^(3*x^2) - E^(4 + x^4))*x]^2 - 150*x^2*Log[(-1 + E^(4 - 3*x^2 + x^4))*x] + 50*Log[E^(3*x^2) - E^(4 + x^4)]*(-3 + 3*x^2 - Log[(E^(3*x^2) - E^(4 + x^4))*x] + Log[(-1 + E^(4 - 3*x^2 + x^4))*x]) + 50*Log[x]*(-3 + 3*x^2 - Log[(E^(3*x^2) - E^(4 + x^4))*x] + Log[(-1 + E^(4 - 3*x^2 + x^4))*x])","B",1
2024,1,47,27,5.1214423,"\int \frac{\exp \left(\frac{6 x+e^4 \left(6 x-24 x^2-x^4\right)+\left(x+e^4 \left(x-4 x^2\right)\right) \log (5)}{6+\log (5)}\right) \left(6+e^4 \left(6-48 x-4 x^3\right)+\left(1+e^4 (1-8 x)\right) \log (5)\right)}{6+\log (5)} \, dx","Integrate[(E^((6*x + E^4*(6*x - 24*x^2 - x^4) + (x + E^4*(x - 4*x^2))*Log[5])/(6 + Log[5]))*(6 + E^4*(6 - 48*x - 4*x^3) + (1 + E^4*(1 - 8*x))*Log[5]))/(6 + Log[5]),x]","5^{\frac{e^4 (1-4 x) x+x}{6+\log (5)}} e^{\frac{x \left(6-e^4 \left(x^3+24 x-6\right)\right)}{6+\log (5)}}","e^{e^4 \left(x-x^2 \left(\frac{x^2}{6+\log (5)}+4\right)\right)+x}",1,"5^((x + E^4*(1 - 4*x)*x)/(6 + Log[5]))*E^((x*(6 - E^4*(-6 + 24*x + x^3)))/(6 + Log[5]))","A",1
2025,1,29,21,0.010852,"\int \frac{-16 x+x^3+(16+x) \log \left(\frac{4}{\log (2)}\right)}{x^3} \, dx","Integrate[(-16*x + x^3 + (16 + x)*Log[4/Log[2]])/x^3,x]","-\frac{8 \log \left(\frac{4}{\log (2)}\right)}{x^2}+x+\frac{16-\log \left(\frac{4}{\log (2)}\right)}{x}","x-\frac{(x+8) \left(\log \left(\frac{4}{\log (2)}\right)-2 x\right)}{x^2}",1,"x + (16 - Log[4/Log[2]])/x - (8*Log[4/Log[2]])/x^2","A",1
2026,1,20,20,0.0304339,"\int \left(2+e^{e^{e^{4+x}}+x} \left(1+e^{4+e^{4+x}+x}\right)-\log (4)\right) \, dx","Integrate[2 + E^(E^E^(4 + x) + x)*(1 + E^(4 + E^(4 + x) + x)) - Log[4],x]","2 x+e^{x+e^{e^{x+4}}}+x (-\log (4))","e^{x+e^{e^{x+4}}}-(x (\log (4)-2))+5",1,"E^(E^E^(4 + x) + x) + 2*x - x*Log[4]","A",1
2027,1,22,22,0.0528199,"\int \frac{-900+9 x+1209 x \log (x)-400 x^2 \log ^2(x)}{450 x-600 x^2 \log (x)+200 x^3 \log ^2(x)} \, dx","Integrate[(-900 + 9*x + 1209*x*Log[x] - 400*x^2*Log[x]^2)/(450*x - 600*x^2*Log[x] + 200*x^3*Log[x]^2),x]","\frac{1}{50} \left(\frac{9}{2 (3-2 x \log (x))}-100 \log (x)\right)","\log \left(\frac{1}{x^2}\right)-\frac{3}{25 \left(4-\frac{6}{x \log (x)}\right)}",1,"(-100*Log[x] + 9/(2*(3 - 2*x*Log[x])))/50","A",1
2028,1,9,19,0.0011205,"\int -\frac{2 \log (x)}{e^8 x} \, dx","Integrate[(-2*Log[x])/(E^8*x),x]","-\frac{\log ^2(x)}{e^8}","-\frac{\log ^2(x)}{e^8}-\frac{e^{10}}{9}+\log (3)",1,"-(Log[x]^2/E^8)","A",1
2029,1,24,24,0.3563163,"\int \frac{15 e^{5+\frac{x}{3}}+e^5 (6+2 x)}{\left(-6 x+e^{x/3} \left(-15 x+3 x^2\right)\right) \log \left(\frac{e^{-x/3} \left(2+e^{x/3} (5-x)\right)}{x}\right)} \, dx","Integrate[(15*E^(5 + x/3) + E^5*(6 + 2*x))/((-6*x + E^(x/3)*(-15*x + 3*x^2))*Log[(2 + E^(x/3)*(5 - x))/(E^(x/3)*x)]),x]","e^5 \log \left(\log \left(\frac{-x+2 e^{-x/3}+5}{x}\right)\right)","e^5 \log \left(\log \left(\frac{-x+2 e^{-x/3}+5}{x}\right)\right)",1,"E^5*Log[Log[(5 + 2/E^(x/3) - x)/x]]","A",1
2030,1,23,27,0.1576417,"\int \frac{-\log (4)+\left(x \log (4)+e^{e^8+2 e^4 x+x^2} \left(2 e^4 x+2 x^2\right) \log (4)\right) \log (x)}{\left(16 x+e^{2 e^8+4 e^4 x+2 x^2} x-8 x^2+x^3+e^{e^8+2 e^4 x+x^2} \left(-8 x+2 x^2\right)\right) \log (x)+\left(8 x-2 e^{e^8+2 e^4 x+x^2} x-2 x^2\right) \log (x) \log (\log (x))+x \log (x) \log ^2(\log (x))} \, dx","Integrate[(-Log[4] + (x*Log[4] + E^(E^8 + 2*E^4*x + x^2)*(2*E^4*x + 2*x^2)*Log[4])*Log[x])/((16*x + E^(2*E^8 + 4*E^4*x + 2*x^2)*x - 8*x^2 + x^3 + E^(E^8 + 2*E^4*x + x^2)*(-8*x + 2*x^2))*Log[x] + (8*x - 2*E^(E^8 + 2*E^4*x + x^2)*x - 2*x^2)*Log[x]*Log[Log[x]] + x*Log[x]*Log[Log[x]]^2),x]","-\frac{\log (4)}{x+e^{\left(x+e^4\right)^2}-\log (\log (x))-4}","\frac{1}{e^2}-\frac{\log (4)}{x+e^{\left(x+e^4\right)^2}-\log (\log (x))-4}",1,"-(Log[4]/(-4 + E^(E^4 + x)^2 + x - Log[Log[x]]))","A",1
2031,1,26,25,0.0149979,"\int \frac{-4 e^{4/x}-x^2-50 e^{2 e^x+x} x^2}{5 x^2} \, dx","Integrate[(-4*E^(4/x) - x^2 - 50*E^(2*E^x + x)*x^2)/(5*x^2),x]","-\frac{x}{5}-5 e^{2 e^x}+\frac{e^{4/x}}{5}","\frac{1}{5} \left(-x-25 e^{2 e^x}+e^{4/x}+3\right)",1,"-5*E^(2*E^x) + E^(4/x)/5 - x/5","A",1
2032,1,25,22,0.1238052,"\int \frac{1+4 x-16 x^2-16 x^3+\left(-8 x-12 x^2\right) \log (x)+\left(-x+4 x^2+4 x^3+\left(2 x+3 x^2\right) \log (x)\right) \log (2 x)+(-4+\log (2 x)) \log (-4+\log (2 x))}{-4+\log (2 x)} \, dx","Integrate[(1 + 4*x - 16*x^2 - 16*x^3 + (-8*x - 12*x^2)*Log[x] + (-x + 4*x^2 + 4*x^3 + (2*x + 3*x^2)*Log[x])*Log[2*x] + (-4 + Log[2*x])*Log[-4 + Log[2*x]])/(-4 + Log[2*x]),x]","x \left(x \left(x^2+x-1\right)+x (x+1) \log (x)+\log (\log (2 x)-4)\right)","x (-x+(x+1) x (x+\log (x))+\log (\log (2 x)-4))",1,"x*(x*(-1 + x + x^2) + x*(1 + x)*Log[x] + Log[-4 + Log[2*x]])","A",1
2033,1,22,21,0.1907596,"\int \frac{e^{\frac{15 x}{12+58 x+3 x^2+3 x^3}} \left(180-45 x^2-90 x^3\right)}{144+1392 x+3436 x^2+420 x^3+357 x^4+18 x^5+9 x^6} \, dx","Integrate[(E^((15*x)/(12 + 58*x + 3*x^2 + 3*x^3))*(180 - 45*x^2 - 90*x^3))/(144 + 1392*x + 3436*x^2 + 420*x^3 + 357*x^4 + 18*x^5 + 9*x^6),x]","e^{\frac{15 x}{3 x^3+3 x^2+58 x+12}}","e^{\frac{5}{x^2+x+4 \left(\frac{1}{x}+\frac{16}{3}\right)-2}}",1,"E^((15*x)/(12 + 58*x + 3*x^2 + 3*x^3))","A",1
2034,1,28,34,0.1966849,"\int \frac{e^5 \left(-x-3 x^3\right)+3 e^5 x^2 \log (5)+\left(e^5 \left(-5+x-45 x^2+9 x^3\right)+e^5 \left(30 x-6 x^2\right) \log (5)\right) \log (5-x)}{(-15+3 x) \log ^2(5-x)} \, dx","Integrate[(E^5*(-x - 3*x^3) + 3*E^5*x^2*Log[5] + (E^5*(-5 + x - 45*x^2 + 9*x^3) + E^5*(30*x - 6*x^2)*Log[5])*Log[5 - x])/((-15 + 3*x)*Log[5 - x]^2),x]","\frac{e^5 x \left(3 x^2-3 x \log (5)+1\right)}{3 \log (5-x)}","\frac{e^5 x \left(\frac{x^3+\frac{x}{3}}{x}-x \log (5)\right)}{\log (5-x)}-4",1,"(E^5*x*(1 + 3*x^2 - 3*x*Log[5]))/(3*Log[5 - x])","A",1
2035,1,9,10,0.0030918,"\int \frac{1+e^{4+x}}{e^4} \, dx","Integrate[(1 + E^(4 + x))/E^4,x]","\frac{x}{e^4}+e^x","\frac{x}{e^4}+e^x-1",1,"E^x + x/E^4","A",1
2036,1,36,30,0.2414545,"\int \frac{-250 e^{3 x} x-150 e^{2 x} x^2-2 x^4+e^x \left(-30 x^3+e^{\frac{1+4 e^2}{e^2}} \left(250 x-250 x^2\right) \log (2)\right)}{125 e^{\frac{1+4 e^2}{e^2}+3 x}+75 e^{\frac{1+4 e^2}{e^2}+2 x} x+15 e^{\frac{1+4 e^2}{e^2}+x} x^2+e^{\frac{1+4 e^2}{e^2}} x^3} \, dx","Integrate[(-250*E^(3*x)*x - 150*E^(2*x)*x^2 - 2*x^4 + E^x*(-30*x^3 + E^((1 + 4*E^2)/E^2)*(250*x - 250*x^2)*Log[2]))/(125*E^((1 + 4*E^2)/E^2 + 3*x) + 75*E^((1 + 4*E^2)/E^2 + 2*x)*x + 15*E^((1 + 4*E^2)/E^2 + x)*x^2 + E^((1 + 4*E^2)/E^2)*x^3),x]","-e^{-4-\frac{1}{e^2}} x^2 \left(1-\frac{25 e^{4+\frac{1}{e^2}} \log (2)}{\left(x+5 e^x\right)^2}\right)","x \left(\frac{x \log (2)}{\left(\frac{x}{5}+e^x\right)^2}-e^{-4-\frac{1}{e^2}} x\right)",1,"-(E^(-4 - E^(-2))*x^2*(1 - (25*E^(4 + E^(-2))*Log[2])/(5*E^x + x)^2))","A",1
2037,1,23,24,0.2116822,"\int \frac{-1-e^{4+x}}{e^{4+x}+x-e^4 (i \pi +\log (16))} \, dx","Integrate[(-1 - E^(4 + x))/(E^(4 + x) + x - E^4*(I*Pi + Log[16])),x]","-\log \left(x+e^{x+4}-e^4 (\log (16)+i \pi )\right)","\log \left(\frac{\log (5)}{\frac{x}{e^4}+e^x-i \pi -\log (16)}\right)",1,"-Log[E^(4 + x) + x - E^4*(I*Pi + Log[16])]","A",1
2038,1,49,28,0.1844787,"\int \frac{e^{-6-2 x} \left(-4-8 x+e^{3+x} \left(64+64 x-4 x^2\right)+e^{6+2 x} \left(-256-16 e^{25}+x^2\right)\right)}{16 x^2} \, dx","Integrate[(E^(-6 - 2*x)*(-4 - 8*x + E^(3 + x)*(64 + 64*x - 4*x^2) + E^(6 + 2*x)*(-256 - 16*E^25 + x^2)))/(16*x^2),x]","\frac{1}{16} \left(-\frac{4 e^{-x-3} \left(16 x-x^2\right)}{x^2}+x+\frac{4 e^{-2 x-6}}{x}+\frac{16 \left(16+e^{25}\right)}{x}\right)","\frac{\left(-\frac{x}{4}-\frac{e^{-x-3}}{2}+4\right)^2+e^{25}}{x}",1,"((4*E^(-6 - 2*x))/x + (16*(16 + E^25))/x + x - (4*E^(-3 - x)*(16*x - x^2))/x^2)/16","A",1
2039,1,30,26,0.0320457,"\int \frac{e^{-\frac{5}{-2-x+16 x^2+8 x^3+x^4}} \left(4-x+97 x^2+56 x^3+256 x^4+254 x^5+96 x^6+16 x^7+x^8\right)}{\left(4+4 x-63 x^2-64 x^3+236 x^4+254 x^5+96 x^6+16 x^7+x^8\right) \log (2)} \, dx","Integrate[(4 - x + 97*x^2 + 56*x^3 + 256*x^4 + 254*x^5 + 96*x^6 + 16*x^7 + x^8)/(E^(5/(-2 - x + 16*x^2 + 8*x^3 + x^4))*(4 + 4*x - 63*x^2 - 64*x^3 + 236*x^4 + 254*x^5 + 96*x^6 + 16*x^7 + x^8)*Log[2]),x]","\frac{e^{-\frac{5}{x^4+8 x^3+16 x^2-x-2}} x}{\log (2)}","\frac{e^{-\frac{5}{x^2 (x+4)^2-x-2}} x}{\log (2)}",1,"x/(E^(5/(-2 - x + 16*x^2 + 8*x^3 + x^4))*Log[2])","A",1
2040,1,23,29,0.0248502,"\int \frac{-400+100 x-200 x^2-121 x^3-37 x^4-48 x^5+3 x^6-6 x^7}{-400 x-200 x^3+48 x^4-25 x^5+24 x^6+3 x^8} \, dx","Integrate[(-400 + 100*x - 200*x^2 - 121*x^3 - 37*x^4 - 48*x^5 + 3*x^6 - 6*x^7)/(-400*x - 200*x^3 + 48*x^4 - 25*x^5 + 24*x^6 + 3*x^8),x]","-\log \left(25-3 x^3\right)-\frac{x}{x^2+4}+\log (x)","-\frac{x}{x^2+4}+\log \left(\frac{\log (2)}{x^2-\frac{25}{3 x}}\right)+4",1,"-(x/(4 + x^2)) + Log[x] - Log[25 - 3*x^3]","A",1
2041,1,46,37,0.1983221,"\int \frac{-60 x+15 x^2+e^{-e^4+x} \left(30 x^2+15 x^3-15 x^4\right)+e^x \left(-3+x+e^{-e^4+x} \left(2+x-x^2\right)\right)}{e^x (-2+x)-30 x^2+15 x^3} \, dx","Integrate[(-60*x + 15*x^2 + E^(-E^4 + x)*(30*x^2 + 15*x^3 - 15*x^4) + E^x*(-3 + x + E^(-E^4 + x)*(2 + x - x^2)))/(E^x*(-2 + x) - 30*x^2 + 15*x^3),x]","e^{-e^4} \left(e^{e^4} \log \left(15 x^2+e^x\right)-e^x x-e^{e^4} \log \left(1-\frac{x}{2}\right)\right)","-\log \left(\frac{x-2}{5 e^{-x} x^2+\frac{1}{3}}\right)-e^{x-e^4} x+x",1,"(-(E^x*x) - E^E^4*Log[1 - x/2] + E^E^4*Log[E^x + 15*x^2])/E^E^4","A",1
2042,1,21,22,0.0624218,"\int \frac{4+27 x^4-x^8+\left(108 x^4-8 x^8\right) \log (x)}{\left(-4 x-27 x^5+x^9\right) \log (x)} \, dx","Integrate[(4 + 27*x^4 - x^8 + (108*x^4 - 8*x^8)*Log[x])/((-4*x - 27*x^5 + x^9)*Log[x]),x]","-\log \left(-x^8+27 x^4+4\right)-\log (\log (x))","\log (3)-\log \left(\left(\left(27-x^4\right) x^4+4\right) \log (x)\right)",1,"-Log[4 + 27*x^4 - x^8] - Log[Log[x]]","A",1
2043,1,92,22,0.1783593,"\int \frac{-28512 x^2+4032 x^3-224 x^4+\left(-297432 x+77112 x^2-5256 x^3+104 x^4\right) \log (3-x)+\left(-708588+314928 x-29160 x^2+1008 x^3-12 x^4\right) \log ^2(3-x)}{59049 x^4-26244 x^5+2430 x^6-84 x^7+x^8} \, dx","Integrate[(-28512*x^2 + 4032*x^3 - 224*x^4 + (-297432*x + 77112*x^2 - 5256*x^3 + 104*x^4)*Log[3 - x] + (-708588 + 314928*x - 29160*x^2 + 1008*x^3 - 12*x^4)*Log[3 - x]^2)/(59049*x^4 - 26244*x^5 + 2430*x^6 - 84*x^7 + x^8),x]","-\frac{4 \left(2 (x-27)^2 x^3 \tanh ^{-1}\left(\frac{x-15}{12}\right)+x^2 \left((x-27)^2 x \log (27-x)-34992\right)-\left(x^4-54 x^3+729 x^2-17496 x+472392\right) x \log (3-x)-2187 (x-27)^2 \log ^2(3-x)\right)}{2187 (x-27)^2 x^3}","\frac{4 \left(\log (3-x)-\frac{4 x}{x-27}\right)^2}{x^3}",1,"(-4*(2*(-27 + x)^2*x^3*ArcTanh[(-15 + x)/12] - x*(472392 - 17496*x + 729*x^2 - 54*x^3 + x^4)*Log[3 - x] - 2187*(-27 + x)^2*Log[3 - x]^2 + x^2*(-34992 + (-27 + x)^2*x*Log[27 - x])))/(2187*(-27 + x)^2*x^3)","B",1
2044,1,22,23,0.1564454,"\int \frac{4 x^2+e^{2 e^x-2 x-2 e^5 x} \left(-2 x-2 e^5 x+2 e^x x\right)}{x} \, dx","Integrate[(4*x^2 + E^(2*E^x - 2*x - 2*E^5*x)*(-2*x - 2*E^5*x + 2*E^x*x))/x,x]","2 x^2+e^{2 e^x-2 \left(1+e^5\right) x}","2 x^2+e^{-2 e^5 x-2 x+2 e^x}",1,"E^(2*E^x - 2*(1 + E^5)*x) + 2*x^2","A",1
2045,1,27,19,0.039446,"\int \frac{20-4 x+225 x^2-90 x^3+9 x^4+20 \log (2 x)}{75-30 x+3 x^2} \, dx","Integrate[(20 - 4*x + 225*x^2 - 90*x^3 + 9*x^4 + 20*Log[2*x])/(75 - 30*x + 3*x^2),x]","\frac{1}{3} \left(3 x^3-4 \log (x)+\frac{20 \log (2 x)}{5-x}\right)","x^3-\frac{4 x \log (2 x)}{3 (x-5)}+1",1,"(3*x^3 - 4*Log[x] + (20*Log[2*x])/(5 - x))/3","A",1
2046,1,22,21,0.0578698,"\int \frac{1+e^x (1+x)+\log \left(i \pi +\log \left(-2+e^8\right)\right)}{x+e^x x+x \log \left(i \pi +\log \left(-2+e^8\right)\right)} \, dx","Integrate[(1 + E^x*(1 + x) + Log[I*Pi + Log[-2 + E^8]])/(x + E^x*x + x*Log[I*Pi + Log[-2 + E^8]]),x]","\log (x)+\log \left(e^x+1+\log \left(\log \left(e^8-2\right)+i \pi \right)\right)","\log \left(x \left(e^x+1+\log \left(\log \left(e^8-2\right)+i \pi \right)\right)\right)",1,"Log[x] + Log[1 + E^x + Log[I*Pi + Log[-2 + E^8]]]","A",1
2047,1,16,18,0.1186028,"\int \frac{-8 x \log (9-x) \log (x)+\left(-36+4 x+(36-4 x) \log ^2(9-x)+\left(-36+4 x+(36-4 x) \log ^2(9-x)\right) \log (x)\right) \log \left(-1+\log ^2(9-x)\right)}{9-x+(-9+x) \log ^2(9-x)} \, dx","Integrate[(-8*x*Log[9 - x]*Log[x] + (-36 + 4*x + (36 - 4*x)*Log[9 - x]^2 + (-36 + 4*x + (36 - 4*x)*Log[9 - x]^2)*Log[x])*Log[-1 + Log[9 - x]^2])/(9 - x + (-9 + x)*Log[9 - x]^2),x]","-4 x \log (x) \log \left(\log ^2(9-x)-1\right)","-4 x \log (x) \log \left(\log ^2(9-x)-1\right)-5",1,"-4*x*Log[x]*Log[-1 + Log[9 - x]^2]","A",1
2048,1,29,33,0.292624,"\int \frac{e^{-x} \left(48-48 x+\left(-48+48 x-48 x^2\right) \log (x)+\left(-32 x+32 x^2-16 x^3+e^2 \left(-16+16 x-16 x^2\right)\right) \log ^2(x)\right)}{\left(15-30 x+15 x^2\right) \log ^2(x)} \, dx","Integrate[(48 - 48*x + (-48 + 48*x - 48*x^2)*Log[x] + (-32*x + 32*x^2 - 16*x^3 + E^2*(-16 + 16*x - 16*x^2))*Log[x]^2)/(E^x*(15 - 30*x + 15*x^2)*Log[x]^2),x]","\frac{16 e^{-x} x \left(\left(x+e^2\right) \log (x)+3\right)}{15 (x-1) \log (x)}","\frac{4 e^{-x} x \left(x+\frac{3}{\log (x)}+e^2\right)}{3 \left(x+\frac{x+3}{4}-2\right)}",1,"(16*x*(3 + (E^2 + x)*Log[x]))/(15*E^x*(-1 + x)*Log[x])","A",1
2049,1,26,24,0.0019642,"\int \frac{1}{8} \left(1728 x^5-96 x^3 \log (\log (9))+x \log ^2(\log (9))\right) \, dx","Integrate[(1728*x^5 - 96*x^3*Log[Log[9]] + x*Log[Log[9]]^2)/8,x]","36 x^6-3 x^4 \log (\log (9))+\frac{1}{16} x^2 \log ^2(\log (9))","\frac{1}{16} x^2 \left(\log (\log (9))-24 x^2\right)^2-e^4",1,"36*x^6 - 3*x^4*Log[Log[9]] + (x^2*Log[Log[9]]^2)/16","A",1
2050,1,21,21,0.015576,"\int \frac{e^2 (2+e)}{-e^2+6 e^{2 x+e x}} \, dx","Integrate[(E^2*(2 + E))/(-E^2 + 6*E^(2*x + E*x)),x]","\log \left(e^2-6 e^{(2+e) x}\right)-(2+e) x","\log \left(\frac{1}{2} e^{2-(2+e) x}-3\right)+\frac{1}{3}",1,"-((2 + E)*x) + Log[E^2 - 6*E^((2 + E)*x)]","A",1
2051,1,39,34,0.1690469,"\int \frac{125 x-425 x^2+315 x^3+81 x^4+e^x \left(-25 x+90 x^2-81 x^3\right)+e^{3-e^x} \left(25-90 x+e^x \left(-5+48 x-54 x^2\right)+e^{2 x} \left(-5 x+9 x^2\right)\right)+e^x \left(-25 x^2+90 x^3-81 x^4\right) \log (x)}{25 x^2-90 x^3+81 x^4} \, dx","Integrate[(125*x - 425*x^2 + 315*x^3 + 81*x^4 + E^x*(-25*x + 90*x^2 - 81*x^3) + E^(3 - E^x)*(25 - 90*x + E^x*(-5 + 48*x - 54*x^2) + E^(2*x)*(-5*x + 9*x^2)) + E^x*(-25*x^2 + 90*x^3 - 81*x^4)*Log[x])/(25*x^2 - 90*x^3 + 81*x^4),x]","-\frac{e^{3-e^x} \left(e^x-5\right)}{x (9 x-5)}+x-e^x \log (x)+5 \log (x)","x+\left(5-e^x\right) \left(\frac{e^{3-e^x}}{x (9 x-5)}+\log (x)\right)-2",1,"x - (E^(3 - E^x)*(-5 + E^x))/(x*(-5 + 9*x)) + 5*Log[x] - E^x*Log[x]","A",1
2052,1,72,31,1.029223,"\int \frac{\left(-384 x-768 x^2-384 x^3\right) \log (x)+\left(-384 x-1664 x^2-2304 x^3-1536 x^4-512 x^5\right) \log ^2(x)+\left(512 x^2+1536 x^3+1536 x^4+512 x^5\right) \log (x) \log \left(2 x+e^5 x\right)}{-27+\left(108 x+108 x^2\right) \log \left(2 x+e^5 x\right)+\left(-144 x^2-288 x^3-144 x^4\right) \log ^2\left(2 x+e^5 x\right)+\left(64 x^3+192 x^4+192 x^5+64 x^6\right) \log ^3\left(2 x+e^5 x\right)} \, dx","Integrate[((-384*x - 768*x^2 - 384*x^3)*Log[x] + (-384*x - 1664*x^2 - 2304*x^3 - 1536*x^4 - 512*x^5)*Log[x]^2 + (512*x^2 + 1536*x^3 + 1536*x^4 + 512*x^5)*Log[x]*Log[2*x + E^5*x])/(-27 + (108*x + 108*x^2)*Log[2*x + E^5*x] + (-144*x^2 - 288*x^3 - 144*x^4)*Log[2*x + E^5*x]^2 + (64*x^3 + 192*x^4 + 192*x^5 + 64*x^6)*Log[2*x + E^5*x]^3),x]","-\frac{4 \left(4 x^2 \log \left(2+e^5\right)+4 x \log \left(2+e^5\right)-3\right) \left(4 x^2 \log \left(2+e^5\right)+8 (x+1) x \log (x)+4 x \log \left(2+e^5\right)-3\right)}{\left(3-4 x (x+1) \log \left(\left(2+e^5\right) x\right)\right)^2}","\frac{4 \log ^2(x)}{\left(\frac{3}{x (4 x+4)}-\log \left(\left(2+e^5\right) x\right)\right)^2}",1,"(-4*(-3 + 4*x*Log[2 + E^5] + 4*x^2*Log[2 + E^5])*(-3 + 4*x*Log[2 + E^5] + 4*x^2*Log[2 + E^5] + 8*x*(1 + x)*Log[x]))/(3 - 4*x*(1 + x)*Log[(2 + E^5)*x])^2","B",1
2053,1,32,28,0.0399273,"\int \frac{-x+x^3+\left(1-x^2+5 x^3-x^4\right) \log (x)+\left(1-x^2\right) \log ^2(x)}{\left(-x^2+x^4\right) \log (x)} \, dx","Integrate[(-x + x^3 + (1 - x^2 + 5*x^3 - x^4)*Log[x] + (1 - x^2)*Log[x]^2)/((-x^2 + x^4)*Log[x]),x]","-x+\frac{2}{x}+2 \log (1-x)+3 \log (x+1)+\log (\log (x))+\frac{\log (x)}{x}","\log \left(e^{-x} (x+1) \left(x^2-1\right)^2 \log (x)\right)+\frac{\log (x)+2}{x}",1,"2/x - x + 2*Log[1 - x] + Log[x]/x + 3*Log[1 + x] + Log[Log[x]]","A",1
2054,1,41,30,5.2025276,"\int \frac{-3 e^2 \log (5)+e^{e^x+\frac{1}{3} e^{e^x} (-3-x)} \left(e^2 \log (5)+e^{2+x} (3+x) \log (5)\right)}{75+3 e^{\frac{2}{3} e^{e^x} (-3-x)}+30 x+3 x^2+e^{\frac{1}{3} e^{e^x} (-3-x)} (30+6 x)} \, dx","Integrate[(-3*E^2*Log[5] + E^(E^x + (E^E^x*(-3 - x))/3)*(E^2*Log[5] + E^(2 + x)*(3 + x)*Log[5]))/(75 + 3*E^((2*E^E^x*(-3 - x))/3) + 30*x + 3*x^2 + E^((E^E^x*(-3 - x))/3)*(30 + 6*x)),x]","\frac{e^{\frac{1}{3} e^{e^x} (x+3)+2} \log (5)}{e^{\frac{1}{3} e^{e^x} (x+3)} (x+5)+1}","\frac{e^2 \log (5)}{x+e^{\frac{e^{e^x}}{\frac{x}{x+3}-1}}+5}",1,"(E^(2 + (E^E^x*(3 + x))/3)*Log[5])/(1 + E^((E^E^x*(3 + x))/3)*(5 + x))","A",1
2055,1,28,25,1.1187897,"\int \frac{\log ^{\frac{2 x}{e^4 \left(-8 x-2 x^2\right)+(5+2 x) \log (\log (6))}}(6) \left(4 e^4 x^2 \log (\log (6))+10 \log ^2(\log (6))\right)}{e^8 \left(64 x^2+32 x^3+4 x^4\right)+e^4 \left(-80 x-52 x^2-8 x^3\right) \log (\log (6))+\left(25+20 x+4 x^2\right) \log ^2(\log (6))} \, dx","Integrate[(Log[6]^((2*x)/(E^4*(-8*x - 2*x^2) + (5 + 2*x)*Log[Log[6]]))*(4*E^4*x^2*Log[Log[6]] + 10*Log[Log[6]]^2))/(E^8*(64*x^2 + 32*x^3 + 4*x^4) + E^4*(-80*x - 52*x^2 - 8*x^3)*Log[Log[6]] + (25 + 20*x + 4*x^2)*Log[Log[6]]^2),x]","\log ^{-\frac{2 x}{2 e^4 x (x+4)-(2 x+5) \log (\log (6))}}(6)","e^{\frac{x}{x-\frac{e^4 (x+4) x}{\log (\log (6))}+\frac{5}{2}}}",1,"Log[6]^((-2*x)/(2*E^4*x*(4 + x) - (5 + 2*x)*Log[Log[6]]))","A",1
2056,1,8,12,0.0007511,"\int \frac{2-3 x}{x} \, dx","Integrate[(2 - 3*x)/x,x]","2 \log (x)-3 x","\log \left(e^{16-3 x} x^2\right)",1,"-3*x + 2*Log[x]","A",1
2057,1,15,19,0.0808753,"\int \frac{x+\left(4+5 x+x^2\right) \log \left(\frac{1}{8} (-4-x)\right)}{\left(4 x+x^2\right) \log \left(\frac{1}{8} (-4-x)\right)} \, dx","Integrate[(x + (4 + 5*x + x^2)*Log[(-4 - x)/8])/((4*x + x^2)*Log[(-4 - x)/8]),x]","x+\log (x)+\log \left(\log \left(\frac{1}{8} (-x-4)\right)\right)","x+\log \left(\frac{12}{25} x \log \left(\frac{1}{8} (-x-4)\right)\right)+1",1,"x + Log[x] + Log[Log[(-4 - x)/8]]","A",1
2058,1,60,32,0.0481822,"\int \frac{-16588800 x-30965760 x^3-24883200 x^5-10936320 x^7-2744320 x^9-368640 x^{11}-20480 x^{13}+e^4 \left(3110400 x+10414080 x^3+12960000 x^5+8542720 x^7+3310080 x^9+760320 x^{11}+96000 x^{13}+5120 x^{15}\right)}{19683+126846 x^2+331533 x^4+457552 x^6+369117 x^8+184710 x^{10}+58563 x^{12}+11532 x^{14}+1296 x^{16}+64 x^{18}} \, dx","Integrate[(-16588800*x - 30965760*x^3 - 24883200*x^5 - 10936320*x^7 - 2744320*x^9 - 368640*x^11 - 20480*x^13 + E^4*(3110400*x + 10414080*x^3 + 12960000*x^5 + 8542720*x^7 + 3310080*x^9 + 760320*x^11 + 96000*x^13 + 5120*x^15))/(19683 + 126846*x^2 + 331533*x^4 + 457552*x^6 + 369117*x^8 + 184710*x^10 + 58563*x^12 + 11532*x^14 + 1296*x^16 + 64*x^18),x]","\frac{160 \left(8 \left(x^2+3\right)^4-e^4 \left(x^2+3\right)^2 \left(4 x^6+27 x^4+58 x^2+27\right)\right)}{\left(4 x^6+27 x^4+58 x^2+27\right)^2}","5 \left(\frac{4}{\frac{x^2}{\left(x^2+3\right)^2}+x^2+\frac{3}{4}}-e^4\right)^2",1,"(160*(8*(3 + x^2)^4 - E^4*(3 + x^2)^2*(27 + 58*x^2 + 27*x^4 + 4*x^6)))/(27 + 58*x^2 + 27*x^4 + 4*x^6)^2","A",1
2059,1,28,28,0.8925416,"\int \frac{4+e^5 (-9-8 x)+4 x+e^{5+x} \left(2+2 x-2 x^2\right)+e^5 (1+x) \log (2)+\left(-e^5 x-2 e^{5+x} x\right) \log (x)}{80 x+20 e^{10+2 x} x+e^5 \left(-360 x+40 x^2\right)+e^{10} \left(405 x-90 x^2+5 x^3\right)+\left(40 e^5 x+e^{10} \left(-90 x+10 x^2\right)\right) \log (2)+5 e^{10} x \log ^2(2)+e^x \left(80 e^5 x+e^{10} \left(-180 x+20 x^2\right)+20 e^{10} x \log (2)\right)} \, dx","Integrate[(4 + E^5*(-9 - 8*x) + 4*x + E^(5 + x)*(2 + 2*x - 2*x^2) + E^5*(1 + x)*Log[2] + (-(E^5*x) - 2*E^(5 + x)*x)*Log[x])/(80*x + 20*E^(10 + 2*x)*x + E^5*(-360*x + 40*x^2) + E^10*(405*x - 90*x^2 + 5*x^3) + (40*E^5*x + E^10*(-90*x + 10*x^2))*Log[2] + 5*E^10*x*Log[2]^2 + E^x*(80*E^5*x + E^10*(-180*x + 20*x^2) + 20*E^10*x*Log[2])),x]","\frac{x+\log (x)}{5 \left(2 e^{x+5}+e^5 (x-9+\log (2))+4\right)}","\frac{x+\log (x)}{5 \left(e^5 \left(2 \left(e^x-2\right)+x-5+\log (2)\right)+4\right)}",1,"(x + Log[x])/(5*(4 + 2*E^(5 + x) + E^5*(-9 + x + Log[2])))","A",1
2060,1,19,19,0.0668164,"\int \frac{1}{5} \left(e^{x/5} (20+14 x)+e^{x/5} \left(10 x+x^2\right) \log \left(2 x^2\right)\right) \, dx","Integrate[(E^(x/5)*(20 + 14*x) + E^(x/5)*(10*x + x^2)*Log[2*x^2])/5,x]","e^{x/5} x \left(x \log \left(2 x^2\right)+4\right)","e^{x/5} x \left(x \log \left(2 x^2\right)+4\right)",1,"E^(x/5)*x*(4 + x*Log[2*x^2])","A",1
2061,1,8,10,0.000061,"\int \frac{4}{3 e^5} \, dx","Integrate[4/(3*E^5),x]","\frac{4 x}{3 e^5}","\frac{4 (x+133)}{3 e^5}",1,"(4*x)/(3*E^5)","A",1
2062,1,19,24,0.1933541,"\int \frac{5+e+e^{-2+2 x} (5+e)-120 x^2+e^{-1+x} \left(10+2 e-120 x^2+40 x^3\right)}{1+2 e^{-1+x}+e^{-2+2 x}} \, dx","Integrate[(5 + E + E^(-2 + 2*x)*(5 + E) - 120*x^2 + E^(-1 + x)*(10 + 2*E - 120*x^2 + 40*x^3))/(1 + 2*E^(-1 + x) + E^(-2 + 2*x)),x]","(5+e) x-\frac{40 e x^3}{e^x+e}","e x-5 \left(\frac{8 x^3}{e^{x-1}+1}-x\right)",1,"(5 + E)*x - (40*E*x^3)/(E + E^x)","A",1
2063,1,111,25,0.1880082,"\int \frac{-6 x^3+2 x^7+\left(4 x^4+8 x^6+4 x^8\right) \log (5)+\left(6-8 x^4+2 x^8\right) \log (5) \log \left(3-x^4\right)}{-3 x^3+x^7} \, dx","Integrate[(-6*x^3 + 2*x^7 + (4*x^4 + 8*x^6 + 4*x^8)*Log[5] + (6 - 8*x^4 + 2*x^8)*Log[5]*Log[3 - x^4])/(-3*x^3 + x^7),x]","\frac{1}{3} \left(\left(\sqrt{3} \log (625)+\log (15625)\right) \log \left(\sqrt{3}-x^2\right)+\log (15625) \log \left(x^2+\sqrt{3}\right)-\sqrt{3} \log (625) \log \left(x^2+\sqrt{3}\right)+8 \sqrt{3} \log (5) \tanh ^{-1}\left(\frac{x^2}{\sqrt{3}}\right)+x^2 \log (125) \log \left(3-x^4\right)+\frac{\log (125) \log \left(3-x^4\right)}{x^2}+6 x\right)","\frac{\left(x^2+1\right)^2 \log (5) \log \left(3-x^4\right)}{x^2}+2 x",1,"(6*x + 8*Sqrt[3]*ArcTanh[x^2/Sqrt[3]]*Log[5] + (Sqrt[3]*Log[625] + Log[15625])*Log[Sqrt[3] - x^2] - Sqrt[3]*Log[625]*Log[Sqrt[3] + x^2] + Log[15625]*Log[Sqrt[3] + x^2] + (Log[125]*Log[3 - x^4])/x^2 + x^2*Log[125]*Log[3 - x^4])/3","B",1
2064,1,25,27,0.4094481,"\int \frac{78-48 x+390 x^2+\left(-48 x+5004 x^2-3072 x^3+384 x^4\right) \log (x)+\left(16224 x^2-19968 x^3+8640 x^4-1536 x^5+96 x^6\right) \log ^2(x)}{4 x+\left(52 x-32 x^2+4 x^3\right) \log (x)+\left(169 x-208 x^2+90 x^3-16 x^4+x^5\right) \log ^2(x)} \, dx","Integrate[(78 - 48*x + 390*x^2 + (-48*x + 5004*x^2 - 3072*x^3 + 384*x^4)*Log[x] + (16224*x^2 - 19968*x^3 + 8640*x^4 - 1536*x^5 + 96*x^6)*Log[x]^2)/(4*x + (52*x - 32*x^2 + 4*x^3)*Log[x] + (169*x - 208*x^2 + 90*x^3 - 16*x^4 + x^5)*Log[x]^2),x]","6 \left(8 x^2-\frac{1}{\left(x^2-8 x+13\right) \log (x)+2}\right)","3 \left(16 x^2-\frac{2}{\left((x-4)^2-3\right) \log (x)+2}+e^4\right)",1,"6*(8*x^2 - (2 + (13 - 8*x + x^2)*Log[x])^(-1))","A",1
2065,1,21,22,0.0695507,"\int \frac{x^2+e^{e^{12}+\frac{17+x}{x}} \left(425+170 x+7 x^2-2 x^3\right)}{x^2} \, dx","Integrate[(x^2 + E^(E^12 + (17 + x)/x)*(425 + 170*x + 7*x^2 - 2*x^3))/x^2,x]","x-e^{\frac{17}{x}+e^{12}+1} (x+5)^2","x-e^{\frac{x+17}{x}+e^{12}} (x+5)^2",1,"x - E^(1 + E^12 + 17/x)*(5 + x)^2","A",1
2066,1,22,24,0.0654359,"\int \frac{75-5 x+18 x^2-5 x^3+\left(-15+3 x-4 x^2+x^3\right) \log (x)}{25 x^2-5 x^3+\left(-5 x^2+x^3\right) \log (x)} \, dx","Integrate[(75 - 5*x + 18*x^2 - 5*x^3 + (-15 + 3*x - 4*x^2 + x^3)*Log[x])/(25*x^2 - 5*x^3 + (-5*x^2 + x^3)*Log[x]),x]","x-\frac{3}{x}+\log (5-x)-2 \log (5-\log (x))","x-\frac{3}{x}+\log \left(\frac{5-x}{4 (\log (x)-5)^2}\right)+3",1,"-3/x + x + Log[5 - x] - 2*Log[5 - Log[x]]","A",1
2067,1,22,26,2.9078815,"\int \frac{e^{5 e^{-\frac{-2-3 x+x^2}{-3+x}}} \left(-275+150 x-25 x^2\right)}{\exp \left(5 e^{-\frac{-2-3 x+x^2}{-3+x}}+\frac{-2-3 x+x^2}{-3+x}\right) \left(9-6 x+x^2\right)+e^{\frac{-2-3 x+x^2}{-3+x}} \left(63-42 x+7 x^2\right)} \, dx","Integrate[(E^(5/E^((-2 - 3*x + x^2)/(-3 + x)))*(-275 + 150*x - 25*x^2))/(E^(5/E^((-2 - 3*x + x^2)/(-3 + x)) + (-2 - 3*x + x^2)/(-3 + x))*(9 - 6*x + x^2) + E^((-2 - 3*x + x^2)/(-3 + x))*(63 - 42*x + 7*x^2)),x]","5 \log \left(e^{5 e^{\frac{2}{x-3}-x}}+7\right)","5 \log \left(-e^{5 e^{-x-\frac{2}{3-x}}}-7\right)",1,"5*Log[7 + E^(5*E^(2/(-3 + x) - x))]","A",1
2068,1,30,30,0.1693023,"\int \frac{-x+2 x^3+e^x \left(-1+2 x^2\right)+\left(e^x+x\right) \log (x)+\left(6 x^3+e^x \left(4 x^2+2 x^3\right)+\left(e^x (-2-x)-3 x\right) \log (x)\right) \log \left(\frac{x}{-10 x^2+5 \log (x)}\right)}{-6 e^{2 x} x^5-12 e^x x^6-6 x^7+\left(3 e^{2 x} x^3+6 e^x x^4+3 x^5\right) \log (x)} \, dx","Integrate[(-x + 2*x^3 + E^x*(-1 + 2*x^2) + (E^x + x)*Log[x] + (6*x^3 + E^x*(4*x^2 + 2*x^3) + (E^x*(-2 - x) - 3*x)*Log[x])*Log[x/(-10*x^2 + 5*Log[x])])/(-6*E^(2*x)*x^5 - 12*E^x*x^6 - 6*x^7 + (3*E^(2*x)*x^3 + 6*E^x*x^4 + 3*x^5)*Log[x]),x]","\frac{\log \left(\frac{x}{5 \left(\log (x)-2 x^2\right)}\right)}{3 x^2 \left(x+e^x\right)}","\frac{\log \left(\frac{x}{5 \left(\log (x)-2 x^2\right)}\right)}{3 x^2 \left(x+e^x\right)}",1,"Log[x/(5*(-2*x^2 + Log[x]))]/(3*x^2*(E^x + x))","A",1
2069,1,69,29,2.6844694,"\int \frac{x^3-4 e x^3-4 x^4+e^{2 e^{-x^2+x \log (x)}} \left(4+e^{-x^2+x \log (x)} \left(-4 x+8 x^2-4 x \log (x)\right)\right)+e^{e^{-x^2+x \log (x)}} \left(4 e x+e^{-x^2+x \log (x)} \left(-4 x^3+8 x^4+e \left(-4 x^2+8 x^3\right)+\left(-4 e x^2-4 x^3\right) \log (x)\right)\right)}{2 x^3} \, dx","Integrate[(x^3 - 4*E*x^3 - 4*x^4 + E^(2*E^(-x^2 + x*Log[x]))*(4 + E^(-x^2 + x*Log[x])*(-4*x + 8*x^2 - 4*x*Log[x])) + E^E^(-x^2 + x*Log[x])*(4*E*x + E^(-x^2 + x*Log[x])*(-4*x^3 + 8*x^4 + E*(-4*x^2 + 8*x^3) + (-4*E*x^2 - 4*x^3)*Log[x])))/(2*x^3),x]","\frac{1}{2} \left(-2 x^2-4 e^{e^{-x^2} x^x}-\frac{4 e^{e^{-x^2} x^x+1}}{x}-\frac{2 e^{2 e^{-x^2} x^x}}{x^2}-4 e x+x\right)","\frac{x}{2}-\left(x+\frac{e^{e^{x (\log (x)-x)}}}{x}+e\right)^2",1,"(-4*E^(x^x/E^x^2) - (2*E^((2*x^x)/E^x^2))/x^2 - (4*E^(1 + x^x/E^x^2))/x + x - 4*E*x - 2*x^2)/2","B",1
2070,1,48,30,0.0793238,"\int \frac{\log ^{\frac{2}{x}}\left(\frac{1}{9} x \log ^2\left(e^{-x} x\right)\right) \left(32-32 x+16 \log \left(e^{-x} x\right)-16 \log \left(e^{-x} x\right) \log \left(\frac{1}{9} x \log ^2\left(e^{-x} x\right)\right) \log \left(\log \left(\frac{1}{9} x \log ^2\left(e^{-x} x\right)\right)\right)\right)+\log ^{\frac{4}{x}}\left(\frac{1}{9} x \log ^2\left(e^{-x} x\right)\right) \left(32-32 x+16 \log \left(e^{-x} x\right)-16 \log \left(e^{-x} x\right) \log \left(\frac{1}{9} x \log ^2\left(e^{-x} x\right)\right) \log \left(\log \left(\frac{1}{9} x \log ^2\left(e^{-x} x\right)\right)\right)\right)}{x^2 \log \left(e^{-x} x\right) \log \left(\frac{1}{9} x \log ^2\left(e^{-x} x\right)\right)} \, dx","Integrate[(Log[(x*Log[x/E^x]^2)/9]^(2/x)*(32 - 32*x + 16*Log[x/E^x] - 16*Log[x/E^x]*Log[(x*Log[x/E^x]^2)/9]*Log[Log[(x*Log[x/E^x]^2)/9]]) + Log[(x*Log[x/E^x]^2)/9]^(4/x)*(32 - 32*x + 16*Log[x/E^x] - 16*Log[x/E^x]*Log[(x*Log[x/E^x]^2)/9]*Log[Log[(x*Log[x/E^x]^2)/9]]))/(x^2*Log[x/E^x]*Log[(x*Log[x/E^x]^2)/9]),x]","4 \log ^{\frac{2}{x}}\left(\frac{1}{9} x \log ^2\left(e^{-x} x\right)\right) \left(\log ^{\frac{2}{x}}\left(\frac{1}{9} x \log ^2\left(e^{-x} x\right)\right)+2\right)","4 \left(\left(\log ^{\frac{2}{x}}\left(\frac{1}{9} x \log ^2\left(e^{-x} x\right)\right)+1\right)^2+4\right)",1,"4*Log[(x*Log[x/E^x]^2)/9]^(2/x)*(2 + Log[(x*Log[x/E^x]^2)/9]^(2/x))","A",1
2071,1,25,28,5.1420645,"\int \frac{70+40 x-30 x^2+e^x \left(15 x-5 x^2\right)+e^x \left(30+30 x-5 x^2-5 x^3\right) \log (2+2 x)}{49 x^3+21 x^4-24 x^5+4 x^6+e^x \left(42 x^3+16 x^4-22 x^5+4 x^6\right) \log (2+2 x)+e^{2 x} \left(9 x^3+3 x^4-5 x^5+x^6\right) \log ^2(2+2 x)} \, dx","Integrate[(70 + 40*x - 30*x^2 + E^x*(15*x - 5*x^2) + E^x*(30 + 30*x - 5*x^2 - 5*x^3)*Log[2 + 2*x])/(49*x^3 + 21*x^4 - 24*x^5 + 4*x^6 + E^x*(42*x^3 + 16*x^4 - 22*x^5 + 4*x^6)*Log[2 + 2*x] + E^(2*x)*(9*x^3 + 3*x^4 - 5*x^5 + x^6)*Log[2 + 2*x]^2),x]","\frac{5}{x^2 \left(2 x+e^x (x-3) \log (2 (x+1))-7\right)}","\frac{5}{x \left((x-3) x \left(e^x \log (2 x+2)+2\right)-x\right)}",1,"5/(x^2*(-7 + 2*x + E^x*(-3 + x)*Log[2*(1 + x)]))","A",1
2072,1,21,26,0.0043127,"\int \frac{51 x+17 e^{2 e^2} x}{-8+12 x-6 x^2+x^3} \, dx","Integrate[(51*x + 17*E^(2*E^2)*x)/(-8 + 12*x - 6*x^2 + x^3),x]","\frac{17 \left(3+e^{2 e^2}\right) (1-x)}{(x-2)^2}","4-\frac{\left(3+e^{2 e^2}\right) \left(4 x^2+x-1\right)}{(x-2)^2}",1,"(17*(3 + E^(2*E^2))*(1 - x))/(-2 + x)^2","A",1
2073,1,20,31,0.0983786,"\int \frac{1}{320} e^{-x} \left(-10000+10400 x+\left(400 x-204 x^2\right) \log \left(x^2\right)+\left(-3 x^2+x^3\right) \log ^2\left(x^2\right)\right) \, dx","Integrate[(-10000 + 10400*x + (400*x - 204*x^2)*Log[x^2] + (-3*x^2 + x^3)*Log[x^2]^2)/(320*E^x),x]","-\frac{1}{320} e^{-x} x \left(x \log \left(x^2\right)-100\right)^2","\frac{1}{4} \left(-\frac{1}{5} e^{-x} x \left(\frac{1}{4} x \log \left(x^2\right)-25\right)^2-4\right)+5",1,"-1/320*(x*(-100 + x*Log[x^2])^2)/E^x","A",1
2074,1,18,18,0.1617003,"\int \frac{-400-105 x+(-200-50 x) \log (-4-x)+(-80-20 x+(-40-10 x) \log (-4-x)) \log (2+\log (-4-x))}{200 x^3+50 x^4+\left(100 x^3+25 x^4\right) \log (-4-x)+\left(80 x^3+20 x^4+\left(40 x^3+10 x^4\right) \log (-4-x)\right) \log (2+\log (-4-x))+\left(8 x^3+2 x^4+\left(4 x^3+x^4\right) \log (-4-x)\right) \log ^2(2+\log (-4-x))} \, dx","Integrate[(-400 - 105*x + (-200 - 50*x)*Log[-4 - x] + (-80 - 20*x + (-40 - 10*x)*Log[-4 - x])*Log[2 + Log[-4 - x]])/(200*x^3 + 50*x^4 + (100*x^3 + 25*x^4)*Log[-4 - x] + (80*x^3 + 20*x^4 + (40*x^3 + 10*x^4)*Log[-4 - x])*Log[2 + Log[-4 - x]] + (8*x^3 + 2*x^4 + (4*x^3 + x^4)*Log[-4 - x])*Log[2 + Log[-4 - x]]^2),x]","\frac{5}{x^2 (\log (\log (-x-4)+2)+5)}","\frac{5}{x^2 (\log (\log (-x-4)+2)+5)}",1,"5/(x^2*(5 + Log[2 + Log[-4 - x]]))","A",1
2075,1,73,24,0.3227915,"\int \left(2 e^{2 e^x+x}+e^{2 x} \left(4 x^3+2 x^4\right)-72 x^2 \log (4)+96 x^5 \log ^2(4)+e^x \left(12 x+6 x^2+\left(-40 x^4-8 x^5\right) \log (4)\right)+e^{e^x} \left(-2 e^{2 x} x^2+24 x^2 \log (4)+e^x \left(-6-4 x-2 x^2+8 x^3 \log (4)\right)\right)\right) \, dx","Integrate[2*E^(2*E^x + x) + E^(2*x)*(4*x^3 + 2*x^4) - 72*x^2*Log[4] + 96*x^5*Log[4]^2 + E^x*(12*x + 6*x^2 + (-40*x^4 - 8*x^5)*Log[4]) + E^E^x*(-2*E^(2*x)*x^2 + 24*x^2*Log[4] + E^x*(-6 - 4*x - 2*x^2 + 8*x^3*Log[4])),x]","16 x^6 \log ^2(4)+e^{2 x} x^4-2 e^x x \left(4 x^4 \log (4)-3 x\right)-24 x^3 \log (4)+e^{e^x} \left(8 x^3 \log (4)-2 e^x x^2-6\right)+e^{2 e^x}","\left(x^2 \left(4 x \log (4)-e^x\right)+e^{e^x}-3\right)^2",1,"E^(2*E^x) + E^(2*x)*x^4 - 24*x^3*Log[4] + 16*x^6*Log[4]^2 + E^E^x*(-6 - 2*E^x*x^2 + 8*x^3*Log[4]) - 2*E^x*x*(-3*x + 4*x^4*Log[4])","B",1
2076,1,31,26,0.1695808,"\int \frac{\exp \left(\frac{25+10 x^3 \log (x)+\left(-5 x^4+x^6\right) \log ^2(x)}{x^4 \log ^2(x)}\right) \left(-50+\left(-100-10 x^3\right) \log (x)-10 x^3 \log ^2(x)+2 x^6 \log ^3(x)\right)}{\left(-100 x^5 \log ^3(x)+20 \exp \left(\frac{25+10 x^3 \log (x)+\left(-5 x^4+x^6\right) \log ^2(x)}{x^4 \log ^2(x)}\right) x^5 \log ^3(x)+\log \left(5-\exp \left(\frac{25+10 x^3 \log (x)+\left(-5 x^4+x^6\right) \log ^2(x)}{x^4 \log ^2(x)}\right)\right) \left(-5 x^5 \log ^3(x)+\exp \left(\frac{25+10 x^3 \log (x)+\left(-5 x^4+x^6\right) \log ^2(x)}{x^4 \log ^2(x)}\right) x^5 \log ^3(x)\right)\right) \log \left(20+\log \left(5-\exp \left(\frac{25+10 x^3 \log (x)+\left(-5 x^4+x^6\right) \log ^2(x)}{x^4 \log ^2(x)}\right)\right)\right)} \, dx","Integrate[(E^((25 + 10*x^3*Log[x] + (-5*x^4 + x^6)*Log[x]^2)/(x^4*Log[x]^2))*(-50 + (-100 - 10*x^3)*Log[x] - 10*x^3*Log[x]^2 + 2*x^6*Log[x]^3))/((-100*x^5*Log[x]^3 + 20*E^((25 + 10*x^3*Log[x] + (-5*x^4 + x^6)*Log[x]^2)/(x^4*Log[x]^2))*x^5*Log[x]^3 + Log[5 - E^((25 + 10*x^3*Log[x] + (-5*x^4 + x^6)*Log[x]^2)/(x^4*Log[x]^2))]*(-5*x^5*Log[x]^3 + E^((25 + 10*x^3*Log[x] + (-5*x^4 + x^6)*Log[x]^2)/(x^4*Log[x]^2))*x^5*Log[x]^3))*Log[20 + Log[5 - E^((25 + 10*x^3*Log[x] + (-5*x^4 + x^6)*Log[x]^2)/(x^4*Log[x]^2))]]),x]","\log \left(\log \left(\log \left(5-e^{\frac{\left(x^3 \log (x)+5\right)^2}{x^4 \log ^2(x)}-5}\right)+20\right)\right)","\log \left(\log \left(\log \left(5-e^{\left(\frac{5}{x^2 \log (x)}+x\right)^2-5}\right)+20\right)\right)",1,"Log[Log[20 + Log[5 - E^(-5 + (5 + x^3*Log[x])^2/(x^4*Log[x]^2))]]]","A",1
2077,1,20,20,0.2627541,"\int \frac{-3 e^{5+x}-3 x+\left(2 x+e^{5+x} (1+x)\right) \log \left(2 x^3\right)}{e^{10+2 x} x^2+2 e^{5+x} x^3+x^4} \, dx","Integrate[(-3*E^(5 + x) - 3*x + (2*x + E^(5 + x)*(1 + x))*Log[2*x^3])/(E^(10 + 2*x)*x^2 + 2*E^(5 + x)*x^3 + x^4),x]","-\frac{\log \left(2 x^3\right)}{x \left(x+e^{x+5}\right)}","-\frac{\log \left(2 x^3\right)}{x \left(x+e^{x+5}\right)}",1,"-(Log[2*x^3]/(x*(E^(5 + x) + x)))","A",1
2078,1,113,23,0.2427079,"\int \frac{1}{4} \left(\left(-400 x-800 x^2-400 x^3\right) \log \left(-\frac{12}{x}\right)+\left(400 x+1200 x^2+800 x^3\right) \log ^2\left(-\frac{12}{x}\right)+\left(-x^3-4 x^4-6 x^5-4 x^6-x^7\right) \log ^3\left(-\frac{12}{x}\right)+\left(x^3+5 x^4+9 x^5+7 x^6+2 x^7\right) \log ^4\left(-\frac{12}{x}\right)\right) \, dx","Integrate[((-400*x - 800*x^2 - 400*x^3)*Log[-12/x] + (400*x + 1200*x^2 + 800*x^3)*Log[-12/x]^2 + (-x^3 - 4*x^4 - 6*x^5 - 4*x^6 - x^7)*Log[-12/x]^3 + (x^3 + 5*x^4 + 9*x^5 + 7*x^6 + 2*x^7)*Log[-12/x]^4)/4,x]","\frac{1}{4} \left(\frac{1}{4} x^8 \log ^4\left(-\frac{12}{x}\right)+x^7 \log ^4\left(-\frac{12}{x}\right)+\frac{3}{2} x^6 \log ^4\left(-\frac{12}{x}\right)+x^5 \log ^4\left(-\frac{12}{x}\right)+\frac{1}{4} x^4 \log ^4\left(-\frac{12}{x}\right)+200 x^4 \log ^2\left(-\frac{12}{x}\right)+400 x^3 \log ^2\left(-\frac{12}{x}\right)+200 x^2 \log ^2\left(-\frac{12}{x}\right)\right)","\left(\frac{1}{4} \left(x^2+x\right)^2 \log ^2\left(-\frac{12}{x}\right)+100\right)^2",1,"(200*x^2*Log[-12/x]^2 + 400*x^3*Log[-12/x]^2 + 200*x^4*Log[-12/x]^2 + (x^4*Log[-12/x]^4)/4 + x^5*Log[-12/x]^4 + (3*x^6*Log[-12/x]^4)/2 + x^7*Log[-12/x]^4 + (x^8*Log[-12/x]^4)/4)/4","B",1
2079,1,18,18,0.0760116,"\int \frac{92 e^{\frac{30 x^2}{23}}+e^{\frac{30 x^2}{23}} \left(-92+240 x^2\right) \log (4 x)}{23 x^2} \, dx","Integrate[(92*E^((30*x^2)/23) + E^((30*x^2)/23)*(-92 + 240*x^2)*Log[4*x])/(23*x^2),x]","\frac{4 e^{\frac{30 x^2}{23}} \log (4 x)}{x}","\frac{4 e^{\frac{30 x^2}{23}} \log (4 x)}{x}",1,"(4*E^((30*x^2)/23)*Log[4*x])/x","A",1
2080,1,28,31,0.0749899,"\int \frac{4+\left(320+60 x-5 x^2\right) \log ^2\left(\frac{4+x}{x}\right)+\log ^2(2 x) \left(4+\left(-20 x-5 x^2\right) \log ^2\left(\frac{4+x}{x}\right)\right)+\log (2 x) \left(-8+\left(40 x+10 x^2\right) \log ^2\left(\frac{4+x}{x}\right)\right)}{\left(20 x+5 x^2\right) \log ^2\left(\frac{4+x}{x}\right)+\left(-40 x-10 x^2\right) \log (2 x) \log ^2\left(\frac{4+x}{x}\right)+\left(20 x+5 x^2\right) \log ^2(2 x) \log ^2\left(\frac{4+x}{x}\right)} \, dx","Integrate[(4 + (320 + 60*x - 5*x^2)*Log[(4 + x)/x]^2 + Log[2*x]^2*(4 + (-20*x - 5*x^2)*Log[(4 + x)/x]^2) + Log[2*x]*(-8 + (40*x + 10*x^2)*Log[(4 + x)/x]^2))/((20*x + 5*x^2)*Log[(4 + x)/x]^2 + (-40*x - 10*x^2)*Log[2*x]*Log[(4 + x)/x]^2 + (20*x + 5*x^2)*Log[2*x]^2*Log[(4 + x)/x]^2),x]","\frac{1}{5} \left(-5 x-\frac{80}{\log (2 x)-1}+\frac{1}{\log \left(\frac{x+4}{x}\right)}\right)","-x+\frac{16}{1-\log (2 x)}+\frac{1}{5 \log \left(\frac{x+4}{x}\right)}+5",1,"(-5*x - 80/(-1 + Log[2*x]) + Log[(4 + x)/x]^(-1))/5","A",1
2081,1,25,30,0.1715377,"\int \frac{e^{\frac{1}{2} \left(-2 x-x^2\right)} \left(3 x^2+3 x^3+45 e^{1+\frac{1}{2} \left(2 x+x^2\right)} \log (3)\right)}{5 x^2} \, dx","Integrate[(E^((-2*x - x^2)/2)*(3*x^2 + 3*x^3 + 45*E^(1 + (2*x + x^2)/2)*Log[3]))/(5*x^2),x]","\frac{3}{5} \left(-e^{-\frac{1}{2} x (x+2)}-\frac{15 e \log (3)}{x}\right)","-\frac{3}{5} e^{-\frac{x^2}{2}-x}-3 e \left(\frac{3 \log (3)}{x}+1\right)",1,"(3*(-E^(-1/2*(x*(2 + x))) - (15*E*Log[3])/x))/5","A",1
2082,1,18,18,0.4027476,"\int \frac{2-x-20 x^2+25 x^3+25 e^{2 x} x^3+e^x \left(5 x+20 x^2-50 x^3\right)+\left(5 x+e^x \left(-5 x-5 x^2\right)\right) \log (x)}{4 x-20 x^2+25 x^3+25 e^{2 x} x^3+e^x \left(20 x^2-50 x^3\right)} \, dx","Integrate[(2 - x - 20*x^2 + 25*x^3 + 25*E^(2*x)*x^3 + E^x*(5*x + 20*x^2 - 50*x^3) + (5*x + E^x*(-5*x - 5*x^2))*Log[x])/(4*x - 20*x^2 + 25*x^3 + 25*E^(2*x)*x^3 + E^x*(20*x^2 - 50*x^3)),x]","x+\frac{\log (x)}{5 e^x x-5 x+2}","x+\frac{\log (x)}{5 \left(e^x-1\right) x+2}+4",1,"x + Log[x]/(2 - 5*x + 5*E^x*x)","A",1
2083,1,18,19,0.0050155,"\int \frac{240 x-24 x \log (4)}{16 x^4-24 x^2 \log (5)+9 \log ^2(5)} \, dx","Integrate[(240*x - 24*x*Log[4])/(16*x^4 - 24*x^2*Log[5] + 9*Log[5]^2),x]","\frac{3 (\log (4)-10)}{4 x^2-3 \log (5)}","\frac{\log (4)-10}{\frac{4 x^2}{3}-\log (5)}",1,"(3*(-10 + Log[4]))/(4*x^2 - 3*Log[5])","A",1
2084,1,20,24,0.4528451,"\int \frac{256-10000 x^5+\left(-256+10000 x^5\right) \log (x)+\left(-256-40000 x^5\right) \log (x) \log \left(\frac{5 x}{\log (x)}\right)}{\left(256-20000 x^5+390625 x^{10}\right) \log (x)} \, dx","Integrate[(256 - 10000*x^5 + (-256 + 10000*x^5)*Log[x] + (-256 - 40000*x^5)*Log[x]*Log[(5*x)/Log[x]])/((256 - 20000*x^5 + 390625*x^10)*Log[x]),x]","\frac{16 x \log \left(\frac{5 x}{\log (x)}\right)}{625 x^5-16}","\frac{\log \left(\frac{5 x}{\log (x)}\right)}{\frac{625 x^4}{16}-\frac{1}{x}}",1,"(16*x*Log[(5*x)/Log[x]])/(-16 + 625*x^5)","A",1
2085,1,14,14,0.0045862,"\int \frac{15-21 x+21 x \log (x)}{x \log ^2(x)} \, dx","Integrate[(15 - 21*x + 21*x*Log[x])/(x*Log[x]^2),x]","\frac{21 x}{\log (x)}-\frac{15}{\log (x)}","\frac{26 x-5 (x+3)}{\log (x)}",1,"-15/Log[x] + (21*x)/Log[x]","A",1
2086,1,47,28,0.0273605,"\int \frac{-270-232 x-24 x^2+4 x^3+1800 x^4+2520 x^5+1242 x^6+252 x^7+18 x^8}{90 x+53 x^2+2 x^3-x^4+1800 x^5+2520 x^6+1242 x^7+252 x^8+18 x^9} \, dx","Integrate[(-270 - 232*x - 24*x^2 + 4*x^3 + 1800*x^4 + 2520*x^5 + 1242*x^6 + 252*x^7 + 18*x^8)/(90*x + 53*x^2 + 2*x^3 - x^4 + 1800*x^5 + 2520*x^6 + 1242*x^7 + 252*x^8 + 18*x^9),x]","2 \left(-\frac{1}{2} \log \left(x^2+7 x+10\right)+\frac{1}{2} \log \left(18 x^6+126 x^5+180 x^4-x+9\right)-\frac{3 \log (x)}{2}\right)","\log \left(\frac{x-\frac{x^2}{9}}{\left((x+3)^2+x+1\right) x^4}+2 x\right)",1,"2*((-3*Log[x])/2 - Log[10 + 7*x + x^2]/2 + Log[9 - x + 180*x^4 + 126*x^5 + 18*x^6]/2)","A",1
2087,1,27,31,0.0135821,"\int \frac{5+e^{5/4} \left(-240+15 x^2\right)}{e^{17/4} x^2 \log (5)} \, dx","Integrate[(5 + E^(5/4)*(-240 + 15*x^2))/(E^(17/4)*x^2*Log[5]),x]","\frac{15 e^{5/4} \left(x^2+16\right)-5}{e^{17/4} x \log (5)}","\frac{5 \left(3 (4-x)^2-\frac{1}{e^{5/4}}\right)}{e^3 x \log (5)}-2",1,"(-5 + 15*E^(5/4)*(16 + x^2))/(E^(17/4)*x*Log[5])","A",1
2088,1,20,16,0.001707,"\int \left(-3-3 x+9 x^2+2 x \log (x)\right) \, dx","Integrate[-3 - 3*x + 9*x^2 + 2*x*Log[x],x]","3 x^3-2 x^2+x^2 \log (x)-3 x","x \left(3 x^2-2 x+x \log (x)-3\right)",1,"-3*x - 2*x^2 + 3*x^3 + x^2*Log[x]","A",1
2089,1,16,20,0.028755,"\int \frac{1}{18} e^{\frac{1}{18} \left(-288+7 x+3 x^2\right)} (7+6 x) \, dx","Integrate[(E^((-288 + 7*x + 3*x^2)/18)*(7 + 6*x))/18,x]","e^{\frac{x^2}{6}+\frac{7 x}{18}-16}","e^{\frac{1}{12} \left(\frac{14}{3 x}+2\right) x^2-16}",1,"E^(-16 + (7*x)/18 + x^2/6)","A",1
2090,1,15,22,0.0171319,"\int \frac{21+e^x \left(7 x+7 x^2+(4+4 x) \log (2)\right)}{7 x+4 \log (2)} \, dx","Integrate[(21 + E^x*(7*x + 7*x^2 + (4 + 4*x)*Log[2]))/(7*x + 4*Log[2]),x]","e^x x+3 \log (7 x+\log (16))","e^x x+3 \log (2 (x-4 (2 x+\log (2))))+3",1,"E^x*x + 3*Log[7*x + Log[16]]","A",1
2091,1,25,25,0.1372615,"\int \frac{5-20 x-20 x \log (x)+e^x x \left(2 x^2+5 x^3+4 x^3 \log (x)\right)}{-20 x+4 e^x x^4} \, dx","Integrate[(5 - 20*x - 20*x*Log[x] + E^x*x*(2*x^2 + 5*x^3 + 4*x^3*Log[x]))/(-20*x + 4*E^x*x^4),x]","\frac{1}{4} \left(\log \left(5-e^x x^3\right)+4 x \log (x)-\log (x)\right)","\frac{1}{4} \log \left(\frac{5}{x}-e^x x^2\right)+x \log (x)+5",1,"(-Log[x] + 4*x*Log[x] + Log[5 - E^x*x^3])/4","A",1
2092,1,35,34,0.2666565,"\int \frac{36-120 e^{2 x}+100 e^{4 x}+\left(9+e^{2 x} (-15+30 x)\right) \left(i \pi +\log \left(-5+5 e^3\right)\right)}{36-120 e^{2 x}+100 e^{4 x}} \, dx","Integrate[(36 - 120*E^(2*x) + 100*E^(4*x) + (9 + E^(2*x)*(-15 + 30*x))*(I*Pi + Log[-5 + 5*E^3]))/(36 - 120*E^(2*x) + 100*E^(4*x)),x]","\frac{1}{4} x \left(4+\frac{3 i \pi +\log (125)+3 \log \left(e^3-1\right)}{3-5 e^{2 x}}\right)","x+\frac{3 x \left(\log \left(5 e^3-5\right)+i \pi \right)}{20 \left(\frac{3}{5}-e^{2 x}\right)}",1,"(x*(4 + ((3*I)*Pi + Log[125] + 3*Log[-1 + E^3])/(3 - 5*E^(2*x))))/4","A",1
2093,1,18,19,0.0197019,"\int \frac{-4 x^2+e^{2 x^2} \left(6-8 x^2\right)}{x^4} \, dx","Integrate[(-4*x^2 + E^(2*x^2)*(6 - 8*x^2))/x^4,x]","\frac{4}{x}-\frac{2 e^{2 x^2}}{x^3}","\frac{2 \left(2-\frac{e^{2 x^2}}{x^2}\right)}{x}",1,"(-2*E^(2*x^2))/x^3 + 4/x","A",1
2094,1,149,28,0.1193253,"\int \frac{3735552+6291456 x-638976 x^2-5160960 x^3-815616 x^4+1257472 x^5+97216 x^6+232352 x^7+171568 x^8-233522 x^9-67735 x^{10}+68780 x^{11}+7886 x^{12}-10118 x^{13}+276 x^{14}+624 x^{15}-87 x^{16}+\left(2621440+4456448 x-458752 x^2-3784704 x^3-626176 x^4+1043456 x^5+130368 x^6+76992 x^7+91442 x^8-135460 x^9-40964 x^{10}+42400 x^{11}+4938 x^{12}-6396 x^{13}+176 x^{14}+400 x^{15}-56 x^{16}\right) \log (x)+\left(458752+786432 x-81920 x^2-688128 x^3-118272 x^4+207872 x^5+32704 x^6+11423 x^8-19248 x^9-6132 x^{10}+6496 x^{11}+770 x^{12}-1008 x^{13}+28 x^{14}+64 x^{15}-9 x^{16}\right) \log ^2(x)}{x^8} \, dx","Integrate[(3735552 + 6291456*x - 638976*x^2 - 5160960*x^3 - 815616*x^4 + 1257472*x^5 + 97216*x^6 + 232352*x^7 + 171568*x^8 - 233522*x^9 - 67735*x^10 + 68780*x^11 + 7886*x^12 - 10118*x^13 + 276*x^14 + 624*x^15 - 87*x^16 + (2621440 + 4456448*x - 458752*x^2 - 3784704*x^3 - 626176*x^4 + 1043456*x^5 + 130368*x^6 + 76992*x^7 + 91442*x^8 - 135460*x^9 - 40964*x^10 + 42400*x^11 + 4938*x^12 - 6396*x^13 + 176*x^14 + 400*x^15 - 56*x^16)*Log[x] + (458752 + 786432*x - 81920*x^2 - 688128*x^3 - 118272*x^4 + 207872*x^5 + 32704*x^6 + 11423*x^8 - 19248*x^9 - 6132*x^10 + 6496*x^11 + 770*x^12 - 1008*x^13 + 28*x^14 + 64*x^15 - 9*x^16)*Log[x]^2)/x^8,x]","-\frac{9 x^{16}-72 x^{15}-36 x^{14}+1518 x^{13}-1392 x^{12}-14748 x^{11}+18481 x^{10}+87708 x^9-102972 x^8+292992 x^6+941568 x^5-350208 x^4-1548288 x^3-147456 x^2+\left(-x^2+x+4\right)^8 \log ^2(x)+2 \left(-x^2+x+4\right)^4 \left(3 x^8-12 x^7-30 x^6+133 x^5+150 x^4-528 x^3-480 x^2+768 x+768\right) \log (x)+1179648 x+589824}{x^7}","1-x \left(\frac{\left(-x^2+x+4\right)^4 (\log (x)+3)}{x^4}+x+3\right)^2",1,"-((589824 + 1179648*x - 147456*x^2 - 1548288*x^3 - 350208*x^4 + 941568*x^5 + 292992*x^6 - 102972*x^8 + 87708*x^9 + 18481*x^10 - 14748*x^11 - 1392*x^12 + 1518*x^13 - 36*x^14 - 72*x^15 + 9*x^16 + 2*(4 + x - x^2)^4*(768 + 768*x - 480*x^2 - 528*x^3 + 150*x^4 + 133*x^5 - 30*x^6 - 12*x^7 + 3*x^8)*Log[x] + (4 + x - x^2)^8*Log[x]^2)/x^7)","B",1
2095,1,31,33,0.0705741,"\int \frac{188-95 x-96 x^2-72 x^3+9 x^4+16 x^5-3 x^6+(4-2 x) \log (x)}{16 x^2-8 x^3+x^4} \, dx","Integrate[(188 - 95*x - 96*x^2 - 72*x^3 + 9*x^4 + 16*x^5 - 3*x^6 + (4 - 2*x)*Log[x])/(16*x^2 - 8*x^3 + x^4),x]","\frac{-x^5+9 x^3+28 x^2-16 x+\log (x)+48}{(x-4) x}","\frac{x-\frac{\log (x)}{x}}{4-x}-\frac{(x+2)^2 \left(x^2+3\right)}{x}",1,"(48 - 16*x + 28*x^2 + 9*x^3 - x^5 + Log[x])/((-4 + x)*x)","A",1
2096,1,33,27,0.2690805,"\int \frac{e^{50} (-8-4 x)-18 x-16 x^2-4 x^3+e^{25} \left(-16-24 x-8 x^2\right)+\left(e^{50} (-4-2 x)-8 x-8 x^2-2 x^3+e^{25} \left(-8-12 x-4 x^2\right)\right) \log \left(\frac{20+10 e^{25}+10 x}{e^{25}+x}\right)+\left(2 e^{50}+4 x+2 x^2+e^{25} (4+4 x)+\left(e^{50}+2 x+x^2+e^{25} (2+2 x)\right) \log \left(\frac{20+10 e^{25}+10 x}{e^{25}+x}\right)\right) \log \left(4 x+2 x \log \left(\frac{20+10 e^{25}+10 x}{e^{25}+x}\right)\right)}{2 e^{50}+4 x+2 x^2+e^{25} (4+4 x)+\left(e^{50}+2 x+x^2+e^{25} (2+2 x)\right) \log \left(\frac{20+10 e^{25}+10 x}{e^{25}+x}\right)} \, dx","Integrate[(E^50*(-8 - 4*x) - 18*x - 16*x^2 - 4*x^3 + E^25*(-16 - 24*x - 8*x^2) + (E^50*(-4 - 2*x) - 8*x - 8*x^2 - 2*x^3 + E^25*(-8 - 12*x - 4*x^2))*Log[(20 + 10*E^25 + 10*x)/(E^25 + x)] + (2*E^50 + 4*x + 2*x^2 + E^25*(4 + 4*x) + (E^50 + 2*x + x^2 + E^25*(2 + 2*x))*Log[(20 + 10*E^25 + 10*x)/(E^25 + x)])*Log[4*x + 2*x*Log[(20 + 10*E^25 + 10*x)/(E^25 + x)]])/(2*E^50 + 4*x + 2*x^2 + E^25*(4 + 4*x) + (E^50 + 2*x + x^2 + E^25*(2 + 2*x))*Log[(20 + 10*E^25 + 10*x)/(E^25 + x)]),x]","-x^2-5 x+x \log \left(2 x \left(\log \left(\frac{10 \left(x+e^{25}+2\right)}{x+e^{25}}\right)+2\right)\right)","x \left(-x+\log \left(2 x \left(\log \left(5 \left(\frac{4}{x+e^{25}}+2\right)\right)+2\right)\right)-5\right)",1,"-5*x - x^2 + x*Log[2*x*(2 + Log[(10*(2 + E^25 + x))/(E^25 + x)])]","A",1
2097,1,20,20,0.0019778,"\int \frac{-4 x^2+x^2 (i \pi +\log (3))}{60 \log ^2(5)} \, dx","Integrate[(-4*x^2 + x^2*(I*Pi + Log[3]))/(60*Log[5]^2),x]","\frac{x^3 (-4+i \pi +\log (3))}{180 \log ^2(5)}","\frac{x^3 (-4+i \pi +\log (3))}{180 \log ^2(5)}",1,"(x^3*(-4 + I*Pi + Log[3]))/(180*Log[5]^2)","A",1
2098,1,26,29,0.2834715,"\int \frac{2000-2000 x+\left(-x+x^2\right)^{\frac{1}{400} \left(-400 x^2+x^3\right)} \left(400 x-801 x^2+2 x^3+\left(800 x-803 x^2+3 x^3\right) \log \left(-x+x^2\right)\right)}{-2000+2000 x} \, dx","Integrate[(2000 - 2000*x + (-x + x^2)^((-400*x^2 + x^3)/400)*(400*x - 801*x^2 + 2*x^3 + (800*x - 803*x^2 + 3*x^3)*Log[-x + x^2]))/(-2000 + 2000*x),x]","\frac{400 ((x-1) x)^{\frac{1}{400} (x-400) x^2}-2000 x}{2000}","\frac{1}{5} \left(x^2-x\right)^{x \left(\frac{x^2}{400}-x\right)}-x",1,"(-2000*x + 400*((-1 + x)*x)^(((-400 + x)*x^2)/400))/2000","A",1
2099,1,18,19,0.0149135,"\int -\frac{3 e^{e^2} \log (2) \log (5)}{9 e^{2 e^2} x^2+6 e^{e^2} x \log (2)+\log ^2(2)} \, dx","Integrate[(-3*E^E^2*Log[2]*Log[5])/(9*E^(2*E^2)*x^2 + 6*E^E^2*x*Log[2] + Log[2]^2),x]","\frac{\log (2) \log (5)}{3 e^{e^2} x+\log (2)}","\frac{\log (5)}{\frac{3 e^{e^2} x}{\log (2)}+1}",1,"(Log[2]*Log[5])/(3*E^E^2*x + Log[2])","A",1
2100,1,24,31,1.0335178,"\int \frac{4+8 x+\left(8 x+4 x^2\right) \log (x)+(-2+(-2-2 x) \log (x)) \log \left(\frac{1}{1+(2+2 x) \log (x)+\left(1+2 x+x^2\right) \log ^2(x)}\right)}{5 x^4+\left(5 x^4+5 x^5\right) \log (x)+\left(-10 x^3+\left(-10 x^3-10 x^4\right) \log (x)\right) \log \left(\frac{1}{1+(2+2 x) \log (x)+\left(1+2 x+x^2\right) \log ^2(x)}\right)+\left(5 x^2+\left(5 x^2+5 x^3\right) \log (x)\right) \log ^2\left(\frac{1}{1+(2+2 x) \log (x)+\left(1+2 x+x^2\right) \log ^2(x)}\right)} \, dx","Integrate[(4 + 8*x + (8*x + 4*x^2)*Log[x] + (-2 + (-2 - 2*x)*Log[x])*Log[(1 + (2 + 2*x)*Log[x] + (1 + 2*x + x^2)*Log[x]^2)^(-1)])/(5*x^4 + (5*x^4 + 5*x^5)*Log[x] + (-10*x^3 + (-10*x^3 - 10*x^4)*Log[x])*Log[(1 + (2 + 2*x)*Log[x] + (1 + 2*x + x^2)*Log[x]^2)^(-1)] + (5*x^2 + (5*x^2 + 5*x^3)*Log[x])*Log[(1 + (2 + 2*x)*Log[x] + (1 + 2*x + x^2)*Log[x]^2)^(-1)]^2),x]","\frac{2}{5 x \left(\log \left(\frac{1}{(x \log (x)+\log (x)+1)^2}\right)-x\right)}","5-\frac{2}{5 x \left(x-\log \left(\frac{x^2}{(x+(x+1) x \log (x))^2}\right)\right)}",1,"2/(5*x*(-x + Log[(1 + Log[x] + x*Log[x])^(-2)]))","A",1
2101,1,17,18,0.0065465,"\int \frac{12-e^2+e^5+3 x}{12 x-e^2 x+e^5 x+x^2} \, dx","Integrate[(12 - E^2 + E^5 + 3*x)/(12*x - E^2*x + E^5*x + x^2),x]","\log (x)+2 \log \left(x+e^5-e^2+12\right)","\log \left(x \left(x+e^5-e^2+12\right)^2\right)+3",1,"Log[x] + 2*Log[12 - E^2 + E^5 + x]","A",1
2102,1,29,29,3.2064114,"\int \frac{2 e^x+\left(-45-3 e^x\right) \log (x) \log (\log (x)) \log \left(144 \log ^2(\log (x))\right)+\left(-15-e^x\right) \log (x) \log (\log (x)) \log \left(144 \log ^2(\log (x))\right) \log \left(\log \left(144 \log ^2(\log (x))\right)\right)+\left(e^x (-3+3 x) \log (x) \log (\log (x)) \log \left(144 \log ^2(\log (x))\right)+e^x (-1+x) \log (x) \log (\log (x)) \log \left(144 \log ^2(\log (x))\right) \log \left(\log \left(144 \log ^2(\log (x))\right)\right)\right) \log \left(\frac{3+\log \left(\log \left(144 \log ^2(\log (x))\right)\right)}{x}\right)}{15 x^2 \log (x) \log (\log (x)) \log \left(144 \log ^2(\log (x))\right)+5 x^2 \log (x) \log (\log (x)) \log \left(144 \log ^2(\log (x))\right) \log \left(\log \left(144 \log ^2(\log (x))\right)\right)} \, dx","Integrate[(2*E^x + (-45 - 3*E^x)*Log[x]*Log[Log[x]]*Log[144*Log[Log[x]]^2] + (-15 - E^x)*Log[x]*Log[Log[x]]*Log[144*Log[Log[x]]^2]*Log[Log[144*Log[Log[x]]^2]] + (E^x*(-3 + 3*x)*Log[x]*Log[Log[x]]*Log[144*Log[Log[x]]^2] + E^x*(-1 + x)*Log[x]*Log[Log[x]]*Log[144*Log[Log[x]]^2]*Log[Log[144*Log[Log[x]]^2]])*Log[(3 + Log[Log[144*Log[Log[x]]^2]])/x])/(15*x^2*Log[x]*Log[Log[x]]*Log[144*Log[Log[x]]^2] + 5*x^2*Log[x]*Log[Log[x]]*Log[144*Log[Log[x]]^2]*Log[Log[144*Log[Log[x]]^2]]),x]","\frac{e^x \log \left(\frac{\log \left(\log \left(144 \log ^2(\log (x))\right)\right)+3}{x}\right)+15}{5 x}","\frac{\frac{1}{5} e^x \log \left(\frac{\log \left(\log \left(144 \log ^2(\log (x))\right)\right)+3}{x}\right)+3}{x}",1,"(15 + E^x*Log[(3 + Log[Log[144*Log[Log[x]]^2]])/x])/(5*x)","A",1
2103,1,17,33,0.0130654,"\int \frac{e^x (1-x)+2 x^2+2 e^{x^2} x^3}{x^2} \, dx","Integrate[(E^x*(1 - x) + 2*x^2 + 2*E^x^2*x^3)/x^2,x]","e^{x^2}+2 x-\frac{e^x}{x}","e^{x^2}-x+3 \left(x+\frac{5}{9}\right)-\frac{3 x+e^x}{x}-e^4",1,"E^x^2 - E^x/x + 2*x","A",1
2104,1,43,20,0.1487839,"\int \frac{720 x+144 x^2-288 x^3+\left(360-648 x-432 x^2\right) \log (x)+(-360-144 x) \log ^2(x)}{125 x^3+75 x^4+15 x^5+x^6} \, dx","Integrate[(720*x + 144*x^2 - 288*x^3 + (360 - 648*x - 432*x^2)*Log[x] + (-360 - 144*x)*Log[x]^2)/(125*x^3 + 75*x^4 + 15*x^5 + x^6),x]","-\frac{36 \left(4 x^2 \left(x^2 \log (5)+x \log (9765625)-125+\log (298023223876953125)\right)-125 \log ^2(x)-500 x \log (x)\right)}{125 x^2 (x+5)^2}","\frac{36 (-2 x-\log (x))^2}{x^2 (x+5)^2}",1,"(-36*(4*x^2*(-125 + x^2*Log[5] + x*Log[9765625] + Log[298023223876953125]) - 500*x*Log[x] - 125*Log[x]^2))/(125*x^2*(5 + x)^2)","B",1
2105,1,15,19,0.0154533,"\int e^{-2+e^x-x} \left(-8 x+4 x^2-4 e^x x^2\right) \, dx","Integrate[E^(-2 + E^x - x)*(-8*x + 4*x^2 - 4*E^x*x^2),x]","-4 e^{-x+e^x-2} x^2","e^5-4 e^{-x+e^x-2} x^2",1,"-4*E^(-2 + E^x - x)*x^2","A",1
2106,1,15,15,0.0053621,"\int \frac{e^{8+x} (-2+2 x) \log ^2(\log (4))}{x^2} \, dx","Integrate[(E^(8 + x)*(-2 + 2*x)*Log[Log[4]]^2)/x^2,x]","\frac{2 e^{x+8} \log ^2(\log (4))}{x}","\frac{2 e^{x+8} \log ^2(\log (4))}{x}",1,"(2*E^(8 + x)*Log[Log[4]]^2)/x","A",1
2107,1,19,19,0.0759631,"\int \left(e^{2 x} \left(-200+40 e^5\right)+e^{2 x} \left(50+e^5 (-10-18 x)+90 x\right) \log (x)+e^{2 x} \left(-10 x-10 x^2+e^5 \left(2 x+2 x^2\right)\right) \log ^2(x)\right) \, dx","Integrate[E^(2*x)*(-200 + 40*E^5) + E^(2*x)*(50 + E^5*(-10 - 18*x) + 90*x)*Log[x] + E^(2*x)*(-10*x - 10*x^2 + E^5*(2*x + 2*x^2))*Log[x]^2,x]","\left(e^5-5\right) e^{2 x} (x \log (x)-5)^2","\left(e^5-5\right) e^{2 x} (x \log (x)-5)^2",1,"E^(2*x)*(-5 + E^5)*(-5 + x*Log[x])^2","A",1
2108,1,11,12,0.0034973,"\int e^{-x} \left(-3-e^x\right) \, dx","Integrate[(-3 - E^x)/E^x,x]","3 e^{-x}-x","-x+3 e^{-x}+4",1,"3/E^x - x","A",1
2109,1,21,26,0.0283526,"\int \frac{-1+\left(1-15 x+2 x^2-8 e^{x^2} x^2\right) \log (x)}{x \log (x)} \, dx","Integrate[(-1 + (1 - 15*x + 2*x^2 - 8*E^x^2*x^2)*Log[x])/(x*Log[x]),x]","x^2-4 e^{x^2}-15 x+\log (x)-\log (\log (x))","-4 e^{x^2}+(x-7)^2-x-\log \left(\frac{\log (x)}{x}\right)+2",1,"-4*E^x^2 - 15*x + x^2 + Log[x] - Log[Log[x]]","A",1
2110,1,23,26,0.6949708,"\int \frac{-100+50 x-4 x^2+e^{e^x} \left(-25+4 x^2+e^x \left(-25 x+20 x^2-4 x^3\right)\right)}{16 x^2+e^{2 e^x} x^2-8 x^3+x^4+e^{e^x} \left(8 x^2-2 x^3\right)} \, dx","Integrate[(-100 + 50*x - 4*x^2 + E^E^x*(-25 + 4*x^2 + E^x*(-25*x + 20*x^2 - 4*x^3)))/(16*x^2 + E^(2*E^x)*x^2 - 8*x^3 + x^4 + E^E^x*(8*x^2 - 2*x^3)),x]","\frac{(2 x-5)^2}{\left(-x+e^{e^x}+4\right) x}","\frac{x \left(3-\frac{x+5}{x}\right)^2}{-x+e^{e^x}+4}",1,"(-5 + 2*x)^2/((4 + E^E^x - x)*x)","A",1
2111,1,12,12,0.047734,"\int -\frac{e^{-x \log (2)+9 \log (2) \log (9+x)} x \log (2)}{9+x} \, dx","Integrate[-((E^(-(x*Log[2]) + 9*Log[2]*Log[9 + x])*x*Log[2])/(9 + x)),x]","2^{9 \log (x+9)-x}","2^{9 \log (x+9)-x}",1,"2^(-x + 9*Log[9 + x])","A",1
2112,1,92,33,0.1192397,"\int \frac{40200250 x-120300 x^2-31823280 x^3-32496 x^4+576 x^5-192 x^6+128 x^7+e^{2 e^3+2 x} \left(250-300 x+720 x^2-496 x^3+576 x^4-192 x^5+128 x^6\right)+e^{e^3+x} \left(-100250-59950 x+79580 x^2-208224 x^3+127920 x^4-64384 x^5+64 x^6-128 x^7\right)}{125-150 x+360 x^2-248 x^3+288 x^4-96 x^5+64 x^6} \, dx","Integrate[(40200250*x - 120300*x^2 - 31823280*x^3 - 32496*x^4 + 576*x^5 - 192*x^6 + 128*x^7 + E^(2*E^3 + 2*x)*(250 - 300*x + 720*x^2 - 496*x^3 + 576*x^4 - 192*x^5 + 128*x^6) + E^(E^3 + x)*(-100250 - 59950*x + 79580*x^2 - 208224*x^3 + 127920*x^4 - 64384*x^5 + 64*x^6 - 128*x^7))/(125 - 150*x + 360*x^2 - 248*x^3 + 288*x^4 - 96*x^5 + 64*x^6),x]","-2 \left(-\frac{x^2}{2}+\frac{e^{x+e^3} \left(4 x^2-2 x+2005\right) x}{4 x^2-2 x+5}-\frac{500 (2 x+995)}{4 x^2-2 x+5}-\frac{500000 (2 x-5)}{\left(4 x^2-2 x+5\right)^2}-\frac{1}{2} e^{2 \left(x+e^3\right)}\right)","\left(-x+e^{x+e^3}-\frac{400}{\frac{1}{5} \left(-x+\frac{5}{x}-2\right)+x}\right)^2",1,"-2*(-1/2*E^(2*(E^3 + x)) - x^2/2 - (500000*(-5 + 2*x))/(5 - 2*x + 4*x^2)^2 - (500*(995 + 2*x))/(5 - 2*x + 4*x^2) + (E^(E^3 + x)*x*(2005 - 2*x + 4*x^2))/(5 - 2*x + 4*x^2))","B",1
2113,1,28,28,0.0832141,"\int \frac{e^{\frac{x}{5+\log \left(\frac{\log (3)}{x}\right)}} \left(e^{2 x} \left(-224 e+200 x+224 x^2\right)+e^{2 x} \left(-84 e+80 x+84 x^2\right) \log \left(\frac{\log (3)}{x}\right)+e^{2 x} \left(-8 e+8 x+8 x^2\right) \log ^2\left(\frac{\log (3)}{x}\right)\right)}{25+10 \log \left(\frac{\log (3)}{x}\right)+\log ^2\left(\frac{\log (3)}{x}\right)} \, dx","Integrate[(E^(x/(5 + Log[Log[3]/x]))*(E^(2*x)*(-224*E + 200*x + 224*x^2) + E^(2*x)*(-84*E + 80*x + 84*x^2)*Log[Log[3]/x] + E^(2*x)*(-8*E + 8*x + 8*x^2)*Log[Log[3]/x]^2))/(25 + 10*Log[Log[3]/x] + Log[Log[3]/x]^2),x]","-4 \left(e-x^2\right) e^{2 x+\frac{x}{\log \left(\frac{\log (3)}{x}\right)+5}}","4 \left(x^2-e\right) e^{2 x+\frac{x}{\log \left(\frac{\log (3)}{x}\right)+5}}",1,"-4*E^(2*x + x/(5 + Log[Log[3]/x]))*(E - x^2)","A",1
2114,1,31,26,0.2050105,"\int \frac{10 e^4 x^5+e^{4+\frac{-5625-150 x^3+4 x^5-x^6}{x^4}} \left(112500+750 x^3+20 x^5-10 x^6\right)}{x^5} \, dx","Integrate[(10*E^4*x^5 + E^(4 + (-5625 - 150*x^3 + 4*x^5 - x^6)/x^4)*(112500 + 750*x^3 + 20*x^5 - 10*x^6))/x^5,x]","e^4 \left(5 e^{-\frac{5625}{x^4}-x^2+4 x-\frac{150}{x}}+10 x\right)","5 e^4 \left(e^{4 x-\left(\frac{75}{x^2}+x\right)^2}+2 x\right)",1,"E^4*(5*E^(-5625/x^4 - 150/x + 4*x - x^2) + 10*x)","A",1
2115,1,23,27,0.0102786,"\int \frac{-9-16 e^4+46 x-33 x^2-72 x^3}{1-6 x+9 x^2} \, dx","Integrate[(-9 - 16*E^4 + 46*x - 33*x^2 - 72*x^3)/(1 - 6*x + 9*x^2),x]","-4 x^2-9 x-\frac{16 e^4}{3 (1-3 x)}","x \left(4 \left(-x+\frac{4 e^4}{3 x-1}-3\right)+3\right)+e^3",1,"(-16*E^4)/(3*(1 - 3*x)) - 9*x - 4*x^2","A",1
2116,1,80,36,0.5343114,"\int \frac{560 x^7-x^9+e^{3 x} \left(320 x^4-x^6\right)+e^{2 x} \left(-38400 x^3+38400 x^4+1320 x^5-120 x^6-3 x^7\right)+e^x \left(-67200 x^4+67200 x^5+1560 x^6-120 x^7-3 x^8\right)+e^{30+15 x} \left(e^{3 x} x^3-240 x^4+x^6+e^{2 x} \left(-360 x^2+120 x^3+3 x^4\right)+e^x \left(28800 x-28800 x^2-600 x^3+120 x^4+3 x^5\right)\right)+e^{20+10 x} \left(-38400 x^3+192000 x^4+1200 x^5-800 x^6-3 x^7+e^{3 x} \left(480 x^2-800 x^3-3 x^4\right)+e^{2 x} \left(-76800 x+230400 x^2+2520 x^3-2760 x^4-9 x^5\right)+e^x \left(-201600 x^2+508800 x^3+3240 x^4-2760 x^5-9 x^6\right)\right)+e^{10+5 x} \left(89600 x^4-448000 x^5-1520 x^6+800 x^7+3 x^8+e^{3 x} \left(51200 x-256000 x^2-800 x^3+800 x^4+3 x^5\right)+e^{2 x} \left(268800 x^2-1036800 x^3-3480 x^4+2760 x^5+9 x^6\right)+e^x \left(393600 x^3-1315200 x^4-4200 x^5+2760 x^6+9 x^7\right)\right)}{-1600 e^{3 x} x^3-4800 e^{2 x} x^4-4800 e^x x^5-1600 x^6+e^{30+15 x} \left(1600 e^{3 x}+4800 e^{2 x} x+4800 e^x x^2+1600 x^3\right)+e^{20+10 x} \left(-4800 e^{3 x} x-14400 e^{2 x} x^2-14400 e^x x^3-4800 x^4\right)+e^{10+5 x} \left(4800 e^{3 x} x^2+14400 e^{2 x} x^3+14400 e^x x^4+4800 x^5\right)} \, dx","Integrate[(560*x^7 - x^9 + E^(3*x)*(320*x^4 - x^6) + E^(2*x)*(-38400*x^3 + 38400*x^4 + 1320*x^5 - 120*x^6 - 3*x^7) + E^x*(-67200*x^4 + 67200*x^5 + 1560*x^6 - 120*x^7 - 3*x^8) + E^(30 + 15*x)*(E^(3*x)*x^3 - 240*x^4 + x^6 + E^(2*x)*(-360*x^2 + 120*x^3 + 3*x^4) + E^x*(28800*x - 28800*x^2 - 600*x^3 + 120*x^4 + 3*x^5)) + E^(20 + 10*x)*(-38400*x^3 + 192000*x^4 + 1200*x^5 - 800*x^6 - 3*x^7 + E^(3*x)*(480*x^2 - 800*x^3 - 3*x^4) + E^(2*x)*(-76800*x + 230400*x^2 + 2520*x^3 - 2760*x^4 - 9*x^5) + E^x*(-201600*x^2 + 508800*x^3 + 3240*x^4 - 2760*x^5 - 9*x^6)) + E^(10 + 5*x)*(89600*x^4 - 448000*x^5 - 1520*x^6 + 800*x^7 + 3*x^8 + E^(3*x)*(51200*x - 256000*x^2 - 800*x^3 + 800*x^4 + 3*x^5) + E^(2*x)*(268800*x^2 - 1036800*x^3 - 3480*x^4 + 2760*x^5 + 9*x^6) + E^x*(393600*x^3 - 1315200*x^4 - 4200*x^5 + 2760*x^6 + 9*x^7)))/(-1600*E^(3*x)*x^3 - 4800*E^(2*x)*x^4 - 4800*E^x*x^5 - 1600*x^6 + E^(30 + 15*x)*(1600*E^(3*x) + 4800*E^(2*x)*x + 4800*E^x*x^2 + 1600*x^3) + E^(20 + 10*x)*(-4800*E^(3*x)*x - 14400*E^(2*x)*x^2 - 14400*E^x*x^3 - 4800*x^4) + E^(10 + 5*x)*(4800*E^(3*x)*x^2 + 14400*E^(2*x)*x^3 + 14400*E^x*x^4 + 4800*x^5)),x]","\frac{x^2 \left(-\left(x^2-560\right) x-e^x \left(x^2-320\right)+e^{5 (x+2)} \left(x^2-240\right)+e^{6 x+10} x\right)^2}{6400 \left(-x^2-e^x x+e^{5 (x+2)} x+e^{6 x+10}\right)^2}","x^2 \left(-\frac{x}{80}+\frac{3}{x+e^x}+\frac{4}{x-e^{5 (x+2)}}\right)^2",1,"(x^2*(E^(10 + 6*x)*x - x*(-560 + x^2) - E^x*(-320 + x^2) + E^(5*(2 + x))*(-240 + x^2))^2)/(6400*(E^(10 + 6*x) - E^x*x + E^(5*(2 + x))*x - x^2)^2)","B",1
2117,1,55,31,0.2594951,"\int \frac{4 x^3+4 x^2 \log (5)+\left(x-8 x^4+\left(1-8 x^2-8 x^3\right) \log (5)\right) \log (x) \log (\log (x))+\left(4 x^2+4 x \log (5)+\left(-12 x^3+\left(-8 x-12 x^2\right) \log (5)\right) \log (x) \log (\log (x))\right) \log \left(\frac{x^2}{\left(x^2+2 x \log (5)+\log ^2(5)\right) \log (\log (x))}\right)+\left(-4 x^2-4 x \log (5)\right) \log (x) \log (\log (x)) \log ^2\left(\frac{x^2}{\left(x^2+2 x \log (5)+\log ^2(5)\right) \log (\log (x))}\right)}{(2 x+2 \log (5)) \log (x) \log (\log (x))} \, dx","Integrate[(4*x^3 + 4*x^2*Log[5] + (x - 8*x^4 + (1 - 8*x^2 - 8*x^3)*Log[5])*Log[x]*Log[Log[x]] + (4*x^2 + 4*x*Log[5] + (-12*x^3 + (-8*x - 12*x^2)*Log[5])*Log[x]*Log[Log[x]])*Log[x^2/((x^2 + 2*x*Log[5] + Log[5]^2)*Log[Log[x]])] + (-4*x^2 - 4*x*Log[5])*Log[x]*Log[Log[x]]*Log[x^2/((x^2 + 2*x*Log[5] + Log[5]^2)*Log[Log[x]])]^2)/((2*x + 2*Log[5])*Log[x]*Log[Log[x]]),x]","-x^4-x^2 \log ^2\left(\frac{x^2}{(x+\log (5))^2 \log (\log (x))}\right)-2 x^3 \log \left(\frac{x^2}{(x+\log (5))^2 \log (\log (x))}\right)+\frac{x}{2}","\frac{x}{2}-x^2 \left(\log \left(\frac{x^2}{(x+\log (5))^2 \log (\log (x))}\right)+x\right)^2",1,"x/2 - x^4 - 2*x^3*Log[x^2/((x + Log[5])^2*Log[Log[x]])] - x^2*Log[x^2/((x + Log[5])^2*Log[Log[x]])]^2","A",1
2118,1,33,35,0.0411695,"\int \frac{-10 e^8-e^4 x^2+x^6 \left(-250-100 x-10 x^2\right)+x^3 \left(-75 x-30 x^2-3 x^3+e^4 (100+20 x)\right)}{5 e^{12} x^2+e^8 x^3 \left(-50 x^2-10 x^3\right)+e^4 x^6 \left(125 x^2+50 x^3+5 x^4\right)} \, dx","Integrate[(-10*E^8 - E^4*x^2 + x^6*(-250 - 100*x - 10*x^2) + x^3*(-75*x - 30*x^2 - 3*x^3 + E^4*(100 + 20*x)))/(5*E^12*x^2 + E^8*x^3*(-50*x^2 - 10*x^3) + E^4*x^6*(125*x^2 + 50*x^3 + 5*x^4)),x]","\frac{\frac{x+5}{x^4+5 x^3-e^4}+\frac{10}{x}}{5 e^4}","\frac{\frac{1}{5} \left(x-\frac{x}{\frac{e^4}{x+5}-x^3}\right)+2}{e^4 x}",1,"(10/x + (5 + x)/(-E^4 + 5*x^3 + x^4))/(5*E^4)","A",1
2119,1,19,19,0.0021246,"\int -\frac{2 e^{14}}{144 x^2+216 e^5 x^2+81 e^{10} x^2} \, dx","Integrate[(-2*E^14)/(144*x^2 + 216*E^5*x^2 + 81*E^10*x^2),x]","\frac{2 e^{14}}{9 \left(4+3 e^5\right)^2 x}","\frac{2 e^4}{9 \left(3+\frac{4}{e^5}\right)^2 x}",1,"(2*E^14)/(9*(4 + 3*E^5)^2*x)","A",1
2120,1,25,26,0.2491424,"\int \frac{-10+e^x \left(-2-x^2\right)+\left(5+e^x (1+x)\right) \log \left(5 x^2\right)}{100 x^2+40 e^x x^2+4 e^{2 x} x^2} \, dx","Integrate[(-10 + E^x*(-2 - x^2) + (5 + E^x*(1 + x))*Log[5*x^2])/(100*x^2 + 40*E^x*x^2 + 4*E^(2*x)*x^2),x]","\frac{x-\log \left(5 x^2\right)}{4 \left(e^x x+5 x\right)}","9-\frac{\log \left(5 x^2\right)-x}{4 \left(e^x+5\right) x}",1,"(x - Log[5*x^2])/(4*(5*x + E^x*x))","A",1
2121,1,5,5,0.0013438,"\int e^{-1+x} \, dx","Integrate[E^(-1 + x),x]","e^{x-1}","e^{x-1}",1,"E^(-1 + x)","A",1
2122,1,19,20,0.0147172,"\int \frac{e^5 \left(-6-12 x-6 x^2+\frac{7 x \left(2 x^2+2 x^3+x^4\right)}{e^5}\right)}{7 x \left(x^2+2 x^3+x^4\right)} \, dx","Integrate[(E^5*(-6 - 12*x - 6*x^2 + (7*x*(2*x^2 + 2*x^3 + x^4))/E^5))/(7*x*(x^2 + 2*x^3 + x^4)),x]","\frac{3 e^5}{7 x^2}+x-\frac{1}{x+1}","\frac{3 e^5}{7 x^2}+x-\frac{1}{x+1}-4",1,"(3*E^5)/(7*x^2) + x - (1 + x)^(-1)","A",1
2123,1,71,27,0.1363442,"\int \frac{432 x^2-492 x^3+552 x^4+168 x^5+\left(576 x^2-984 x^3-252 x^4\right) \log \left(x^2\right)+\left(432 x^2+84 x^3\right) \log ^2\left(x^2\right)}{576+336 x+49 x^2} \, dx","Integrate[(432*x^2 - 492*x^3 + 552*x^4 + 168*x^5 + (576*x^2 - 984*x^3 - 252*x^4)*Log[x^2] + (432*x^2 + 84*x^3)*Log[x^2]^2)/(576 + 336*x + 49*x^2),x]","\frac{6 \left(16807 x^5+16807 x^3-14 \left(2401 x^4+96768 x+331776\right) \log \left(x^2\right)+16807 x^3 \log ^2\left(x^2\right)-2520000 x-2709504 x \log (24)+387072 (7 x+24) \log (x)-8640000-9289728 \log (24)\right)}{16807 (7 x+24)}","\frac{x^3 \left(-\left(\log \left(x^2\right)-x\right)^2-1\right)}{-\frac{7 x}{6}-4}",1,"(6*(-8640000 - 2520000*x + 16807*x^3 + 16807*x^5 - 9289728*Log[24] - 2709504*x*Log[24] + 387072*(24 + 7*x)*Log[x] - 14*(331776 + 96768*x + 2401*x^4)*Log[x^2] + 16807*x^3*Log[x^2]^2))/(16807*(24 + 7*x))","B",1
2124,1,47,26,0.5257341,"\int \frac{-3 x+3 x^2-3 x^2 \log \left(-\frac{3}{2 x}\right)+\left(3-6 x+18 x^2\right) \log ^2\left(-\frac{3}{2 x}\right)}{x^2+\left(2 x-12 x^2\right) \log \left(-\frac{3}{2 x}\right)+\left(1-12 x+36 x^2\right) \log ^2\left(-\frac{3}{2 x}\right)} \, dx","Integrate[(-3*x + 3*x^2 - 3*x^2*Log[-3/(2*x)] + (3 - 6*x + 18*x^2)*Log[-3/(2*x)]^2)/(x^2 + (2*x - 12*x^2)*Log[-3/(2*x)] + (1 - 12*x + 36*x^2)*Log[-3/(2*x)]^2),x]","\frac{\left(36 x^2-6 x-5\right) \log \left(-\frac{3}{2 x}\right)-5 x}{12 \left((6 x-1) \log \left(-\frac{3}{2 x}\right)-x\right)}","\frac{3 (x-1)}{-\frac{1}{x}-\frac{1}{\log \left(-\frac{3}{2 x}\right)}+6}",1,"(-5*x + (-5 - 6*x + 36*x^2)*Log[-3/(2*x)])/(12*(-x + (-1 + 6*x)*Log[-3/(2*x)]))","A",1
2125,1,25,22,0.1243865,"\int \frac{\frac{5+18 x}{e^4 \log \left(\frac{1}{5} \left(5 x+9 x^2\right)\right)}+\left(-5 x-9 x^2\right) \log \left(\frac{1}{5} \left(5 x+9 x^2\right)\right)}{\left(5 x+9 x^2\right) \log \left(\frac{1}{5} \left(5 x+9 x^2\right)\right)} \, dx","Integrate[((5 + 18*x)/(E^4*Log[(5*x + 9*x^2)/5]) + (-5*x - 9*x^2)*Log[(5*x + 9*x^2)/5])/((5*x + 9*x^2)*Log[(5*x + 9*x^2)/5]),x]","\frac{-\frac{1}{\log \left(\frac{9 x^2}{5}+x\right)}-e^4 x}{e^4}","-\frac{1}{e^4 \log \left(\frac{9 x^2}{5}+x\right)}-x+2",1,"(-(E^4*x) - Log[x + (9*x^2)/5]^(-1))/E^4","A",1
2126,1,20,22,0.0029938,"\int \frac{32-3 x-16 x^4-4 x \log (x)}{4 x} \, dx","Integrate[(32 - 3*x - 16*x^4 - 4*x*Log[x])/(4*x),x]","-x^4+\frac{x}{4}-x \log (x)+8 \log (x)","-x^4-4 \log \left(\frac{1}{x^2}\right)+x \left(\frac{1}{4}-\log (x)\right)",1,"x/4 - x^4 + 8*Log[x] - x*Log[x]","A",1
2127,1,18,18,0.0212059,"\int \frac{-3-6 x \log (84)}{x \log ^2(6)+x^2 \log ^2(6) \log (84)+\left(-2 x \log (6)-2 x^2 \log (6) \log (84)\right) \log \left(x+x^2 \log (84)\right)+\left(x+x^2 \log (84)\right) \log ^2\left(x+x^2 \log (84)\right)} \, dx","Integrate[(-3 - 6*x*Log[84])/(x*Log[6]^2 + x^2*Log[6]^2*Log[84] + (-2*x*Log[6] - 2*x^2*Log[6]*Log[84])*Log[x + x^2*Log[84]] + (x + x^2*Log[84])*Log[x + x^2*Log[84]]^2),x]","-\frac{3}{\log (6)-\log (x (x \log (84)+1))}","\frac{3}{\log \left(x^2 \log (84)+x\right)-\log (6)}",1,"-3/(Log[6] - Log[x*(1 + x*Log[84])])","A",1
2128,1,29,28,0.0136736,"\int \frac{459-45 e^5-288 x+84 x^2-8 x^3}{36-24 x+4 x^2} \, dx","Integrate[(459 - 45*E^5 - 288*x + 84*x^2 - 8*x^3)/(36 - 24*x + 4*x^2),x]","\frac{1}{4} \left(-4 (x-3)^2+12 (x-3)+\frac{45 \left(e^5-3\right)}{x-3}\right)","\left(\frac{45 \left(1-\frac{e^5}{x}\right)}{4 (3-x)}-x+9\right) x",1,"((45*(-3 + E^5))/(-3 + x) + 12*(-3 + x) - 4*(-3 + x)^2)/4","A",1
2129,1,25,23,0.3085429,"\int \frac{75 e^{2 x}+5 e^x x^2}{x^2+e^x \left(30 x+70 x^2\right)+e^{2 x} \left(225+1050 x+1225 x^2\right)} \, dx","Integrate[(75*E^(2*x) + 5*E^x*x^2)/(x^2 + E^x*(30*x + 70*x^2) + E^(2*x)*(225 + 1050*x + 1225*x^2)),x]","-\frac{x+15 e^x}{7 \left(x+5 e^x (7 x+3)\right)}","\frac{1}{\frac{\frac{e^{-x} x}{5}+2 x+3}{x}+5}",1,"-1/7*(15*E^x + x)/(x + 5*E^x*(3 + 7*x))","A",1
2130,0,0,30,1.3368236,"\int \frac{e^{-\frac{1}{-2 \log \left(\frac{3}{2}\right)+2 e^{2 x} \log (2)}} \left(2 x \log ^2\left(\frac{3}{2}\right)+e^{2 x} \left(x^2-4 x \log \left(\frac{3}{2}\right)\right) \log (2)+2 e^{4 x} x \log ^2(2)\right)}{4 \log ^2\left(\frac{3}{2}\right)-8 e^{2 x} \log \left(\frac{3}{2}\right) \log (2)+4 e^{4 x} \log ^2(2)} \, dx","Integrate[(2*x*Log[3/2]^2 + E^(2*x)*(x^2 - 4*x*Log[3/2])*Log[2] + 2*E^(4*x)*x*Log[2]^2)/(E^(-2*Log[3/2] + 2*E^(2*x)*Log[2])^(-1)*(4*Log[3/2]^2 - 8*E^(2*x)*Log[3/2]*Log[2] + 4*E^(4*x)*Log[2]^2)),x]","\int \frac{e^{-\frac{1}{-2 \log \left(\frac{3}{2}\right)+2 e^{2 x} \log (2)}} \left(2 x \log ^2\left(\frac{3}{2}\right)+e^{2 x} \left(x^2-4 x \log \left(\frac{3}{2}\right)\right) \log (2)+2 e^{4 x} x \log ^2(2)\right)}{4 \log ^2\left(\frac{3}{2}\right)-8 e^{2 x} \log \left(\frac{3}{2}\right) \log (2)+4 e^{4 x} \log ^2(2)} \, dx","\frac{1}{4} x^2 e^{-\frac{1}{2 \left(e^{2 x} \log (2)-\log \left(\frac{3}{2}\right)\right)}}",1,"Integrate[(2*x*Log[3/2]^2 + E^(2*x)*(x^2 - 4*x*Log[3/2])*Log[2] + 2*E^(4*x)*x*Log[2]^2)/(E^(-2*Log[3/2] + 2*E^(2*x)*Log[2])^(-1)*(4*Log[3/2]^2 - 8*E^(2*x)*Log[3/2]*Log[2] + 4*E^(4*x)*Log[2]^2)), x]","F",-1
2131,1,29,25,0.3706391,"\int \frac{-e^x x+\log \left(\frac{1}{4} \left(8+e^x\right)\right) \left(8+e^x+\left(-16-2 e^x\right) \log (x)\right) \log \left(\log \left(\frac{1}{4} \left(8+e^x\right)\right)\right) \log \left(\log \left(\log \left(\frac{1}{4} \left(8+e^x\right)\right)\right)\right)+\left(16+2 e^x\right) \log \left(\frac{1}{4} \left(8+e^x\right)\right) \log \left(\log \left(\frac{1}{4} \left(8+e^x\right)\right)\right) \log \left(\log \left(\log \left(\frac{1}{4} \left(8+e^x\right)\right)\right)\right) \log \left(\log \left(\log \left(\log \left(\frac{1}{4} \left(8+e^x\right)\right)\right)\right)\right)}{\left(80 x^3+10 e^x x^3\right) \log \left(\frac{1}{4} \left(8+e^x\right)\right) \log \left(\log \left(\frac{1}{4} \left(8+e^x\right)\right)\right) \log \left(\log \left(\log \left(\frac{1}{4} \left(8+e^x\right)\right)\right)\right)} \, dx","Integrate[(-(E^x*x) + Log[(8 + E^x)/4]*(8 + E^x + (-16 - 2*E^x)*Log[x])*Log[Log[(8 + E^x)/4]]*Log[Log[Log[(8 + E^x)/4]]] + (16 + 2*E^x)*Log[(8 + E^x)/4]*Log[Log[(8 + E^x)/4]]*Log[Log[Log[(8 + E^x)/4]]]*Log[Log[Log[Log[(8 + E^x)/4]]]])/((80*x^3 + 10*E^x*x^3)*Log[(8 + E^x)/4]*Log[Log[(8 + E^x)/4]]*Log[Log[Log[(8 + E^x)/4]]]),x]","\frac{1}{10} \left(\frac{\log (x)}{x^2}-\frac{\log \left(\log \left(\log \left(\log \left(\frac{1}{4} \left(e^x+8\right)\right)\right)\right)\right)}{x^2}\right)","\frac{\log (x)-\log \left(\log \left(\log \left(\log \left(\frac{e^x}{4}+2\right)\right)\right)\right)}{10 x^2}",1,"(Log[x]/x^2 - Log[Log[Log[Log[(8 + E^x)/4]]]]/x^2)/10","A",1
2132,1,22,21,0.0300692,"\int \frac{e^{\frac{-3-4 x^2-x^3+2 x \log (x)-x \log (2 x)}{x}} \left(3+x-4 x^2-2 x^3\right)}{x^2} \, dx","Integrate[(E^((-3 - 4*x^2 - x^3 + 2*x*Log[x] - x*Log[2*x])/x)*(3 + x - 4*x^2 - 2*x^3))/x^2,x]","\frac{1}{2} e^{-\frac{x^3+4 x^2+3}{x}} x","\frac{1}{2} e^{-x^2-4 x-\frac{3}{x}} x",1,"x/(2*E^((3 + 4*x^2 + x^3)/x))","A",1
2133,1,16,20,0.02661,"\int \frac{4 e^{-2+i \pi +2 x} (2-2 x)-x}{x^3} \, dx","Integrate[(4*E^(-2 + I*Pi + 2*x)*(2 - 2*x) - x)/x^3,x]","\frac{4 e^{2 x-2}}{x^2}+\frac{1}{x}","\frac{x-4 e^{2 x+i \pi -2}}{x^2}",1,"(4*E^(-2 + 2*x))/x^2 + x^(-1)","A",1
2134,1,55,20,0.0088753,"\int \left(12 x^3+3 e x^3-4 x^4+\left(-24 x^3-4 e x^3+5 x^4\right) \log (x)-4 x^3 \log ^2(x)+16 x^3 \log ^3(x)\right) \, dx","Integrate[12*x^3 + 3*E*x^3 - 4*x^4 + (-24*x^3 - 4*E*x^3 + 5*x^4)*Log[x] - 4*x^3*Log[x]^2 + 16*x^3*Log[x]^3,x]","-x^5+x^5 \log (x)+e x^4+4 x^4+4 x^4 \log ^3(x)-4 x^4 \log ^2(x)-e x^4 \log (x)-4 x^4 \log (x)","x^4 (\log (x)-1) \left(x+4 \log ^2(x)-e-4\right)",1,"4*x^4 + E*x^4 - x^5 - 4*x^4*Log[x] - E*x^4*Log[x] + x^5*Log[x] - 4*x^4*Log[x]^2 + 4*x^4*Log[x]^3","B",1
2135,1,27,27,0.1834031,"\int \frac{2 x-2 x^2+e^{2+x} \left(-2 x-x^2+x^3+e^x \left(1-5 x+2 x^2\right)\right)+\left(-x+e^{2+x} \left(x+2 e^x x+x^2\right)\right) \log (x)}{4 x} \, dx","Integrate[(2*x - 2*x^2 + E^(2 + x)*(-2*x - x^2 + x^3 + E^x*(1 - 5*x + 2*x^2)) + (-x + E^(2 + x)*(x + 2*E^x*x + x^2))*Log[x])/(4*x),x]","\frac{1}{4} \left(e^{x+2} x-x+e^{2 x+2}\right) (x+\log (x)-3)","\frac{1}{4} \left(x-e^{x+2} \left(x+e^x\right)\right) (-x-\log (x)+3)",1,"((E^(2 + 2*x) - x + E^(2 + x)*x)*(-3 + x + Log[x]))/4","A",1
2136,1,25,26,0.0268517,"\int \frac{-1-2 x^3-2 x^2 \log (7)-2 e^x x^2 \log (7)}{2 x^2 \log (7)} \, dx","Integrate[(-1 - 2*x^3 - 2*x^2*Log[7] - 2*E^x*x^2*Log[7])/(2*x^2*Log[7]),x]","-\frac{x^2-\frac{1}{x}+x \log (49)+e^x \log (49)}{\log (49)}","\frac{\left(\frac{1}{x^2}-x\right) x}{2 \log (7)}-x-e^x-7",1,"-((-x^(-1) + x^2 + E^x*Log[49] + x*Log[49])/Log[49])","A",1
2137,1,25,26,0.0267227,"\int \frac{-25-50 x-25 x^2+\left(124+100 x+25 x^2\right) \log (2)+\log ^2(2)}{\left(125+100 x+25 x^2\right) \log (2)+\log ^2(2)} \, dx","Integrate[(-25 - 50*x - 25*x^2 + (124 + 100*x + 25*x^2)*Log[2] + Log[2]^2)/((125 + 100*x + 25*x^2)*Log[2] + Log[2]^2),x]","\frac{\log \left(25 x^2+100 x+125+\log (2)\right)+x (\log (2)-1)}{\log (2)}","x+\frac{\log \left((x+3) x+x+5+\frac{\log (2)}{25}\right)-x}{\log (2)}",1,"(x*(-1 + Log[2]) + Log[125 + 100*x + 25*x^2 + Log[2]])/Log[2]","A",1
2138,1,13,13,0.0083772,"\int \frac{1}{9} \left(9-2^{5-x} \log (2)\right) \, dx","Integrate[(9 - 2^(5 - x)*Log[2])/9,x]","x+\frac{2^{5-x}}{9}","x+\frac{2^{5-x}}{9}",1,"2^(5 - x)/9 + x","A",1
2139,1,18,18,0.0252129,"\int \frac{-12+300 x^3+\left(-4+100 x^3\right) \log \left(-\log (x)+\log \left(4+50 x^3\right)\right)}{\left(-2 x-25 x^4\right) \log (x)+\left(2 x+25 x^4\right) \log \left(4+50 x^3\right)} \, dx","Integrate[(-12 + 300*x^3 + (-4 + 100*x^3)*Log[-Log[x] + Log[4 + 50*x^3]])/((-2*x - 25*x^4)*Log[x] + (2*x + 25*x^4)*Log[4 + 50*x^3]),x]","\left(\log \left(\log \left(50 x^3+4\right)-\log (x)\right)+3\right)^2","\left(\log \left(\log \left(50 x^3+4\right)-\log (x)\right)+3\right)^2",1,"(3 + Log[-Log[x] + Log[4 + 50*x^3]])^2","A",1
2140,1,16,22,0.2781329,"\int \frac{e^{-x+\frac{e^{-x} \left(e^x (5-x)+x^2\right)}{x}} \left(-5 e^x+x^2-x^3\right)}{x^2} \, dx","Integrate[(E^(-x + (E^x*(5 - x) + x^2)/(E^x*x))*(-5*E^x + x^2 - x^3))/x^2,x]","e^{e^{-x} x+\frac{5}{x}-1}","e^{\frac{e^{-x} x^2-x+5}{x}}-25",1,"E^(-1 + 5/x + x/E^x)","A",1
2141,1,22,31,0.0361259,"\int \frac{-1+e^{64+e^8+16 x+x^2+e^4 (16+2 x)} \left(-64+120 x-48 x^2-8 x^3+e^4 \left(-8+16 x-8 x^2\right)\right)}{4-8 x+4 x^2} \, dx","Integrate[(-1 + E^(64 + E^8 + 16*x + x^2 + E^4*(16 + 2*x))*(-64 + 120*x - 48*x^2 - 8*x^3 + E^4*(-8 + 16*x - 8*x^2)))/(4 - 8*x + 4*x^2),x]","\frac{1}{4 (x-1)}-e^{\left(x+e^4+8\right)^2}","\frac{1}{4} \left(\frac{x}{x^2-x}+4\right)-e^{\left(x+e^4+8\right)^2}+1",1,"-E^(8 + E^4 + x)^2 + 1/(4*(-1 + x))","A",1
2142,1,26,16,0.0095077,"\int \frac{-72 x^2+3 x^2 \log (4)}{-24 x^3+\left(5+x^3\right) \log (4)} \, dx","Integrate[(-72*x^2 + 3*x^2*Log[4])/(-24*x^3 + (5 + x^3)*Log[4]),x]","\frac{3 (\log (4)-24) \log \left(x^3 (\log (4)-24)+5 \log (4)\right)}{\log (64)-72}","\log \left(x^2 \left(x-\frac{24 x}{\log (4)}\right)+5\right)",1,"(3*(-24 + Log[4])*Log[x^3*(-24 + Log[4]) + 5*Log[4]])/(-72 + Log[64])","A",1
2143,1,18,23,0.0782407,"\int \frac{-8-38 x+21 x^2+\left(-8-19 x+7 x^2\right) \log \left(\frac{1}{2} \left(8 x+19 x^2-7 x^3\right)\right)}{-8-19 x+7 x^2} \, dx","Integrate[(-8 - 38*x + 21*x^2 + (-8 - 19*x + 7*x^2)*Log[(8*x + 19*x^2 - 7*x^3)/2])/(-8 - 19*x + 7*x^2),x]","x \log \left(\frac{1}{2} x \left(-7 x^2+19 x+8\right)\right)","x \log \left(\frac{9}{2} (3-x) x^2+x (x-2)^2\right)",1,"x*Log[(x*(8 + 19*x - 7*x^2))/2]","A",1
2144,1,21,22,0.1821178,"\int \frac{e^{\frac{-21+6 x+3 x^2-x^3}{4-4 x+x^2}} \left(30-18 x+6 x^2-x^3\right)}{-8+12 x-6 x^2+x^3} \, dx","Integrate[(E^((-21 + 6*x + 3*x^2 - x^3)/(4 - 4*x + x^2))*(30 - 18*x + 6*x^2 - x^3))/(-8 + 12*x - 6*x^2 + x^3),x]","e^{-x+\frac{6}{x-2}-\frac{5}{(x-2)^2}-1}","e^{\frac{(3-x) (x-7)}{(x-2)^2}-x}+5",1,"E^(-1 - 5/(-2 + x)^2 + 6/(-2 + x) - x)","A",1
2145,1,33,26,0.0742799,"\int \frac{e^{x^2} \left(1+4 x-2 x^2\right)+\left(63-36 x+9 x^2\right) \log (4)}{\left(36-36 x+9 x^2\right) \log (4)} \, dx","Integrate[(E^x^2*(1 + 4*x - 2*x^2) + (63 - 36*x + 9*x^2)*Log[4])/((36 - 36*x + 9*x^2)*Log[4]),x]","\frac{9 \left(x^2-2 x-3\right) \log (4)-e^{x^2}}{9 (x-2) \log (4)}","-\frac{\frac{e^{x^2}}{9 \log (4)}+x+1}{x-2}+x+5",1,"(-E^x^2 + 9*(-3 - 2*x + x^2)*Log[4])/(9*(-2 + x)*Log[4])","A",1
2146,1,16,19,0.0169765,"\int \frac{-x^2+e^{-x^5} \left(1+5 x^5\right)}{x^2} \, dx","Integrate[(-x^2 + (1 + 5*x^5)/E^x^5)/x^2,x]","-\frac{e^{-x^5}}{x}-x","\frac{x-e^{-x^5}}{x}-x",1,"-(1/(E^x^5*x)) - x","A",1
2147,1,25,23,0.3404419,"\int \frac{e^x \left(25+25 x-25 x^2\right) \log (x)+50 x^2 \log (\log (x))-25 x \log (x) \log ^2(\log (x))}{-e^x x^2 \log (x)+x^3 \log (x) \log ^2(\log (x))} \, dx","Integrate[(E^x*(25 + 25*x - 25*x^2)*Log[x] + 50*x^2*Log[Log[x]] - 25*x*Log[x]*Log[Log[x]]^2)/(-(E^x*x^2*Log[x]) + x^3*Log[x]*Log[Log[x]]^2),x]","\frac{25}{x}+25 \log \left(e^x-x \log ^2(\log (x))\right)-25 \log (x)","25 \left(\frac{1}{x}+\log \left(\log ^2(\log (x))-\frac{e^x}{x}\right)\right)-1",1,"25/x - 25*Log[x] + 25*Log[E^x - x*Log[Log[x]]^2]","A",1
2148,1,69,19,0.2721286,"\int \frac{20 e^{4 x} \log (2)+e^{\frac{4 (x+(2+x) \log (2))}{\log (2)}} (20+20 \log (2))+e^{3 x+\frac{x+(2+x) \log (2)}{\log (2)}} (20+80 \log (2))+e^{x+\frac{3 (x+(2+x) \log (2))}{\log (2)}} (60+80 \log (2))+e^{2 x+\frac{2 (x+(2+x) \log (2))}{\log (2)}} (60+120 \log (2))}{\log (2)} \, dx","Integrate[(20*E^(4*x)*Log[2] + E^((4*(x + (2 + x)*Log[2]))/Log[2])*(20 + 20*Log[2]) + E^(3*x + (x + (2 + x)*Log[2])/Log[2])*(20 + 80*Log[2]) + E^(x + (3*(x + (2 + x)*Log[2]))/Log[2])*(60 + 80*Log[2]) + E^(2*x + (2*(x + (2 + x)*Log[2]))/Log[2])*(60 + 120*Log[2]))/Log[2],x]","5 \left(e^{4 x}+6 e^{x \left(4+\frac{2}{\log (2)}\right)+4}+e^{4 \left(x+\frac{x}{\log (2)}+2\right)}+4 e^{\frac{x (1+\log (16))}{\log (2)}+2}+4 e^{\frac{x (3+\log (16))}{\log (2)}+6}\right)","5 \left(e^x+e^{x+\frac{x}{\log (2)}+2}\right)^4",1,"5*(E^(4*x) + 6*E^(4 + x*(4 + 2/Log[2])) + E^(4*(2 + x + x/Log[2])) + 4*E^(2 + (x*(1 + Log[16]))/Log[2]) + 4*E^(6 + (x*(3 + Log[16]))/Log[2]))","B",0
2149,1,19,26,0.018336,"\int \frac{-e+2 x^2-4 x \log (3)+2 \log ^2(3)}{x^2-2 x \log (3)+\log ^2(3)} \, dx","Integrate[(-E + 2*x^2 - 4*x*Log[3] + 2*Log[3]^2)/(x^2 - 2*x*Log[3] + Log[3]^2),x]","2 (x-\log (3))+\frac{e}{x-\log (3)}","-x+3 (x+5)-\frac{e}{\log (3)-x}-e^3+9",1,"E/(x - Log[3]) + 2*(x - Log[3])","A",1
2150,1,22,30,0.1383887,"\int \frac{e^{-\frac{2-x-98 x^2-76 x^3-16 x^4}{x^2}} \left(16-4 x+304 x^3+128 x^4\right)}{x^3} \, dx","Integrate[(16 - 4*x + 304*x^3 + 128*x^4)/(E^((2 - x - 98*x^2 - 76*x^3 - 16*x^4)/x^2)*x^3),x]","4 e^{16 x^2-\frac{2}{x^2}+76 x+\frac{1}{x}+98}","4 e^{-\frac{2-x}{x^2}+4 (2 x+5)^2-4 x-2}+3",1,"4*E^(98 - 2/x^2 + x^(-1) + 76*x + 16*x^2)","A",1
2151,1,24,22,0.0251672,"\int \frac{8+5 x^3-24 x^4-12 x^5+e^x \left(-8 x^4-4 x^5\right)}{x^3} \, dx","Integrate[(8 + 5*x^3 - 24*x^4 - 12*x^5 + E^x*(-8*x^4 - 4*x^5))/x^3,x]","-4 x^3-4 \left(e^x+3\right) x^2-\frac{4}{x^2}+5 x","-4 \left(\left(x+e^x+3\right) x^2+\frac{1}{x^2}-x\right)+x+5",1,"-4/x^2 + 5*x - 4*(3 + E^x)*x^2 - 4*x^3","A",1
2152,1,38,32,0.0265074,"\int \frac{5030+2000 x+2096 x^2+e^4 \left(10240+25600 x+16000 x^2\right)}{10000+21800 x+7881 x^2-4360 x^3+400 x^4+e^4 \left(80000+174400 x+63048 x^2-34880 x^3+3200 x^4\right)} \, dx","Integrate[(5030 + 2000*x + 2096*x^2 + E^4*(10240 + 25600*x + 16000*x^2))/(10000 + 21800*x + 7881*x^2 - 4360*x^3 + 400*x^4 + E^4*(80000 + 174400*x + 63048*x^2 - 34880*x^3 + 3200*x^4)),x]","\frac{2 \left(\frac{10+80 e^4}{25-4 x}-\frac{3}{5 (5 x+4)}\right)}{1+8 e^4}","\frac{5}{\frac{25}{4}-x}+\frac{6}{\left(4+32 e^4\right) \left(\frac{4}{x}+5\right)}",1,"(2*((10 + 80*E^4)/(25 - 4*x) - 3/(5*(4 + 5*x))))/(1 + 8*E^4)","A",1
2153,1,25,23,0.0109194,"\int \frac{-3 x^2+x^3-5 x^4+3 x^5}{e^4 \left(-1+3 x-3 x^2+x^3\right)} \, dx","Integrate[(-3*x^2 + x^3 - 5*x^4 + 3*x^5)/(E^4*(-1 + 3*x - 3*x^2 + x^3)),x]","\frac{x^5+x^3-13 x^2+26 x-13}{e^4 (x-1)^2}","\frac{x^4 \left(x^3+x\right)}{e^4 \left(x-x^2\right)^2}-5",1,"(-13 + 26*x - 13*x^2 + x^3 + x^5)/(E^4*(-1 + x)^2)","A",1
2154,1,41,33,0.0928579,"\int \frac{-4 x-15 x^3+\left(4+x+16 x^2\right) \log (2)+(-5 x+5 \log (2)) \log (5)+\left(-x^3+x^2 \log (2)\right) \log \left(-\frac{4 x}{-x+\log (2)}\right)}{-x^3+x^2 \log (2)} \, dx","Integrate[(-4*x - 15*x^3 + (4 + x + 16*x^2)*Log[2] + (-5*x + 5*Log[2])*Log[5] + (-x^3 + x^2*Log[2])*Log[(-4*x)/(-x + Log[2])])/(-x^3 + x^2*Log[2]),x]","15 x-\frac{4}{x}+x \log \left(\frac{4 x}{x-\log (2)}\right)+\log (x)-\log (x-\log (2))-\frac{5 \log (5)}{x}","(x+1) \left(-\frac{5 (\log (5)-2 x)+4}{x}+\log \left(\frac{4 x}{x-\log (2)}\right)+5\right)",1,"-4/x + 15*x - (5*Log[5])/x + Log[x] + x*Log[(4*x)/(x - Log[2])] - Log[x - Log[2]]","A",1
2155,1,18,33,0.0195217,"\int \left(2+e^{2-e^x-x} \left(1+e^x\right)\right) \, dx","Integrate[2 + E^(2 - E^x - x)*(1 + E^x),x]","2 x-e^{-x-e^x+2}","2 x-e^{-x-e^x+2}-2-e^{3+\log ^2\left(\frac{4}{e^4}\right)}",1,"-E^(2 - E^x - x) + 2*x","A",1
2156,1,28,31,0.0274998,"\int \frac{4+8 x+4 x^2}{5 x^2+4 x^3+x^4+e^6 \left(5+4 x+x^2\right)+e^3 \left(10 x+8 x^2+2 x^3\right)+\left(-10 x-8 x^2-2 x^3+e^3 \left(-10-8 x-2 x^2\right)\right) \log \left(50+40 x+10 x^2-\left(25+20 x+5 x^2\right) \log \left(\frac{25}{3}\right)\right)+\left(5+4 x+x^2\right) \log ^2\left(50+40 x+10 x^2-\left(25+20 x+5 x^2\right) \log \left(\frac{25}{3}\right)\right)} \, dx","Integrate[(4 + 8*x + 4*x^2)/(5*x^2 + 4*x^3 + x^4 + E^6*(5 + 4*x + x^2) + E^3*(10*x + 8*x^2 + 2*x^3) + (-10*x - 8*x^2 - 2*x^3 + E^3*(-10 - 8*x - 2*x^2))*Log[50 + 40*x + 10*x^2 - (25 + 20*x + 5*x^2)*Log[25/3]] + (5 + 4*x + x^2)*Log[50 + 40*x + 10*x^2 - (25 + 20*x + 5*x^2)*Log[25/3]]^2),x]","-\frac{4}{-\log \left(-5 \left(x^2+4 x+5\right) \left(\log \left(\frac{25}{3}\right)-2\right)\right)+x+e^3}","\frac{4}{-x+\log \left(5 \left((x+2)^2+1\right) \left(2-\log \left(\frac{25}{3}\right)\right)\right)-e^3}",1,"-4/(E^3 + x - Log[-5*(5 + 4*x + x^2)*(-2 + Log[25/3])])","A",1
2157,1,31,24,0.1972191,"\int \frac{-5+10 x+20 x^2+e^{4 x} (1-2 x) \log (5)+\left(10 x-2 e^{4 x} x \log (5)\right) \log \left(\frac{e^{4 x} x^2}{-5+e^{4 x} \log (5)}\right)}{-5+e^{4 x} \log (5)} \, dx","Integrate[(-5 + 10*x + 20*x^2 + E^(4*x)*(1 - 2*x)*Log[5] + (10*x - 2*E^(4*x)*x*Log[5])*Log[(E^(4*x)*x^2)/(-5 + E^(4*x)*Log[5])])/(-5 + E^(4*x)*Log[5]),x]","x-x^2 \log \left(-\frac{e^{4 x} x^2}{5-e^{4 x} \log (5)}\right)","x-x^2 \log \left(\frac{x^2}{\log (5)-5 e^{-4 x}}\right)",1,"x - x^2*Log[-((E^(4*x)*x^2)/(5 - E^(4*x)*Log[5]))]","A",1
2158,1,21,21,1.4225782,"\int \frac{e^{2 x} (-1-x)+e^x \left(-2 x-3 x^2\right)+\left(e^{2 x} (-1+x)+e^x \left(-x+x^3\right)\right) \log \left(3 e^x x+3 x^2+3 x^3\right)}{\left(e^x x^2+x^3+x^4\right) \log ^2\left(3 e^x x+3 x^2+3 x^3\right)} \, dx","Integrate[(E^(2*x)*(-1 - x) + E^x*(-2*x - 3*x^2) + (E^(2*x)*(-1 + x) + E^x*(-x + x^3))*Log[3*E^x*x + 3*x^2 + 3*x^3])/((E^x*x^2 + x^3 + x^4)*Log[3*E^x*x + 3*x^2 + 3*x^3]^2),x]","\frac{e^x}{x \log \left(3 x \left(x^2+x+e^x\right)\right)}","\frac{e^x}{x \log \left(3 x \left(x^2+x+e^x\right)\right)}",1,"E^x/(x*Log[3*x*(E^x + x + x^2)])","A",1
2159,0,0,32,3.0261205,"\int \frac{2 e^{-4+x+\frac{2 \left(2+5 x^2\right)}{x}} x^2 \log \left(1+e^{-4+x}\right)+e^{\frac{2 \left(2+5 x^2\right)}{x}} \left(-4+10 x^2+e^{-4+x} \left(-4+10 x^2\right)\right) \log ^2\left(1+e^{-4+x}\right)}{e^{\frac{2 \left(2+5 x^2\right)}{x}} \left(x^2+e^{-4+x} x^2\right) \log ^2\left(1+e^{-4+x}\right)+\left(-2 x^2-2 e^{-4+x} x^2\right) \log (\log (4))} \, dx","Integrate[(2*E^(-4 + x + (2*(2 + 5*x^2))/x)*x^2*Log[1 + E^(-4 + x)] + E^((2*(2 + 5*x^2))/x)*(-4 + 10*x^2 + E^(-4 + x)*(-4 + 10*x^2))*Log[1 + E^(-4 + x)]^2)/(E^((2*(2 + 5*x^2))/x)*(x^2 + E^(-4 + x)*x^2)*Log[1 + E^(-4 + x)]^2 + (-2*x^2 - 2*E^(-4 + x)*x^2)*Log[Log[4]]),x]","\int \frac{2 e^{-4+x+\frac{2 \left(2+5 x^2\right)}{x}} x^2 \log \left(1+e^{-4+x}\right)+e^{\frac{2 \left(2+5 x^2\right)}{x}} \left(-4+10 x^2+e^{-4+x} \left(-4+10 x^2\right)\right) \log ^2\left(1+e^{-4+x}\right)}{e^{\frac{2 \left(2+5 x^2\right)}{x}} \left(x^2+e^{-4+x} x^2\right) \log ^2\left(1+e^{-4+x}\right)+\left(-2 x^2-2 e^{-4+x} x^2\right) \log (\log (4))} \, dx","\log \left(\frac{1}{2} e^{10 x+\frac{4}{x}} \log ^2\left(e^{x-4}+1\right)-\log (\log (4))\right)",1,"Integrate[(2*E^(-4 + x + (2*(2 + 5*x^2))/x)*x^2*Log[1 + E^(-4 + x)] + E^((2*(2 + 5*x^2))/x)*(-4 + 10*x^2 + E^(-4 + x)*(-4 + 10*x^2))*Log[1 + E^(-4 + x)]^2)/(E^((2*(2 + 5*x^2))/x)*(x^2 + E^(-4 + x)*x^2)*Log[1 + E^(-4 + x)]^2 + (-2*x^2 - 2*E^(-4 + x)*x^2)*Log[Log[4]]), x]","F",-1
2160,1,21,21,0.0845175,"\int \frac{9+e^4+2 x+\log (3)}{-27 x-3 e^4 x-3 x^2+\left(-27-3 e^4-3 x\right) \log (3)+\left(9 x+e^4 x+x^2+\left(9+e^4+x\right) \log (3)\right) \log \left(9+e^4+x\right)+\left(-9 x-e^4 x-x^2+\left(-9-e^4-x\right) \log (3)\right) \log \left(\frac{5}{x+\log (3)}\right)} \, dx","Integrate[(9 + E^4 + 2*x + Log[3])/(-27*x - 3*E^4*x - 3*x^2 + (-27 - 3*E^4 - 3*x)*Log[3] + (9*x + E^4*x + x^2 + (9 + E^4 + x)*Log[3])*Log[9 + E^4 + x] + (-9*x - E^4*x - x^2 + (-9 - E^4 - x)*Log[3])*Log[5/(x + Log[3])]),x]","\log \left(\log \left(x+e^4+9\right)-\log \left(\frac{5}{x+\log (3)}\right)-3\right)","\log \left(-\log \left(x+e^4+9\right)+\log \left(\frac{5}{x+\log (3)}\right)+3\right)",1,"Log[-3 + Log[9 + E^4 + x] - Log[5/(x + Log[3])]]","A",1
2161,1,32,26,0.1533776,"\int \frac{e^x \left(-3 x^2-5 x^3-2 x^4+e^{10/x} \left(20-2 x^2\right)+e^{5/x} \left(-20 x+4 x^2+4 x^3\right)\right)}{x^2} \, dx","Integrate[(E^x*(-3*x^2 - 5*x^3 - 2*x^4 + E^(10/x)*(20 - 2*x^2) + E^(5/x)*(-20*x + 4*x^2 + 4*x^3)))/x^2,x]","-e^x \left(2 x^2-4 e^{5/x} x+x+2 e^{10/x}+2\right)","e^x \left(x-2 \left(\left(e^{5/x}-x\right)^2+x+1\right)\right)+1",1,"-(E^x*(2 + 2*E^(10/x) + x - 4*E^(5/x)*x + 2*x^2))","A",1
2162,1,49,38,0.3064226,"\int \frac{3-3 x+\exp \left(\frac{2}{3} \left(-10+2 x-x^2+3 \log \left(\frac{1}{5} \left(x-x^2\right)\right)\right)\right) \left(3-5 x-8 x^2+4 x^3\right)}{-3 x^2+3 x^3} \, dx","Integrate[(3 - 3*x + E^((2*(-10 + 2*x - x^2 + 3*Log[(x - x^2)/5]))/3)*(3 - 5*x - 8*x^2 + 4*x^3))/(-3*x^2 + 3*x^3),x]","\frac{e^{-\frac{2}{3} \left(x^2+10\right)} \left(75 e^{\frac{2}{3} \left(x^2+10\right)}-3 e^{4 x/3} (x-1)^2 x^2\right)}{75 x}","\frac{1-\frac{1}{25} e^{\frac{2}{3} \left(-x^2+2 (x-4)-2\right)} (1-x)^2 x^2}{x}",1,"(75*E^((2*(10 + x^2))/3) - 3*E^((4*x)/3)*(-1 + x)^2*x^2)/(75*E^((2*(10 + x^2))/3)*x)","A",1
2163,1,20,20,0.5421752,"\int \frac{e^{-20+5 x \log \left(-1-e+e^{e^x+x}\right)} \left(e^{e^x+x} \left(5 x+5 e^x x\right)+\left(-5-5 e+5 e^{e^x+x}\right) \log \left(-1-e+e^{e^x+x}\right)\right)}{-1-e+e^{e^x+x}} \, dx","Integrate[(E^(-20 + 5*x*Log[-1 - E + E^(E^x + x)])*(E^(E^x + x)*(5*x + 5*E^x*x) + (-5 - 5*E + 5*E^(E^x + x))*Log[-1 - E + E^(E^x + x)]))/(-1 - E + E^(E^x + x)),x]","\frac{\left(e^{x+e^x}-1-e\right)^{5 x}}{e^{20}}","e^{5 x \log \left(e^{x+e^x}-1-e\right)-20}",1,"(-1 - E + E^(E^x + x))^(5*x)/E^20","A",1
2164,1,40,30,0.0861133,"\int \frac{\left(320+1264 x+1740 x^2+925 x^3+125 x^4\right) \log \left(\frac{5+x}{5}\right)+\left(250 x+50 x^2+\left(250 x+50 x^2\right) \log (2)\right) \log ^2\left(\frac{5+x}{5}\right)+\log (x) \left(-64 x-240 x^2-300 x^3-125 x^4+\left(-250 x-50 x^2\right) \log \left(\frac{5+x}{5}\right)\right)}{\left(320 x+1264 x^2+1740 x^3+925 x^4+125 x^5\right) \log (x) \log \left(\frac{5+x}{5}\right)+\left(-320 x-1264 x^2-1740 x^3-925 x^4-125 x^5+\left(-320 x-1264 x^2-1740 x^3-925 x^4-125 x^5\right) \log (2)\right) \log ^2\left(\frac{5+x}{5}\right)} \, dx","Integrate[((320 + 1264*x + 1740*x^2 + 925*x^3 + 125*x^4)*Log[(5 + x)/5] + (250*x + 50*x^2 + (250*x + 50*x^2)*Log[2])*Log[(5 + x)/5]^2 + Log[x]*(-64*x - 240*x^2 - 300*x^3 - 125*x^4 + (-250*x - 50*x^2)*Log[(5 + x)/5]))/((320*x + 1264*x^2 + 1740*x^3 + 925*x^4 + 125*x^5)*Log[x]*Log[(5 + x)/5] + (-320*x - 1264*x^2 - 1740*x^3 - 925*x^4 - 125*x^5 + (-320*x - 1264*x^2 - 1740*x^3 - 925*x^4 - 125*x^5)*Log[2])*Log[(5 + x)/5]^2),x]","\frac{5}{(5 x+4)^2}-\log \left(\log \left(\frac{x+5}{5}\right)\right)+\log \left((1+\log (2)) \log \left(\frac{x+5}{5}\right)-\log (x)\right)","\frac{5}{(5 x+4)^2}+\log \left(\frac{\log (x)}{\log \left(\frac{x}{5}+1\right)}-1-\log (2)\right)",1,"5/(4 + 5*x)^2 - Log[Log[(5 + x)/5]] + Log[-Log[x] + (1 + Log[2])*Log[(5 + x)/5]]","A",1
2165,1,121,32,0.4011684,"\int \frac{18-12 x+2 x^2+x^2 \left(i \pi +\log \left(\frac{25}{4}\right)\right)+\left(-9+6 x-x^2\right) \log \left(x^2\right)}{\left(3 x^2-x^3\right) \left(i \pi +\log \left(\frac{25}{4}\right)\right)+\left(9 x-6 x^2+x^3\right) \log \left(x^2\right)} \, dx","Integrate[(18 - 12*x + 2*x^2 + x^2*(I*Pi + Log[25/4]) + (-9 + 6*x - x^2)*Log[x^2])/((3*x^2 - x^3)*(I*Pi + Log[25/4]) + (9*x - 6*x^2 + x^3)*Log[x^2]),x]","\frac{1}{2} \log \left(\pi ^2 x^2+x^2 \log ^2\left(x^2\right)+x^2 \log ^2\left(\frac{25}{4}\right)-6 x \log ^2\left(x^2\right)+9 \log ^2\left(x^2\right)-2 x^2 \log \left(\frac{25}{4}\right) \log \left(x^2\right)+6 x \log \left(\frac{25}{4}\right) \log \left(x^2\right)\right)-i \tan ^{-1}\left(\frac{\pi  x}{x \log \left(x^2\right)-3 \log \left(x^2\right)-x \log \left(\frac{25}{4}\right)}\right)-\frac{1}{2} \log \left((3-x)^2\right)-\log (x)","\log \left(\frac{1}{3} \left(\frac{\log \left(x^2\right)}{x}+\frac{\log \left(\frac{25}{4}\right)+i \pi }{3-x}\right)\right)",1,"(-I)*ArcTan[(Pi*x)/(-(x*Log[25/4]) - 3*Log[x^2] + x*Log[x^2])] - Log[(3 - x)^2]/2 - Log[x] + Log[Pi^2*x^2 + x^2*Log[25/4]^2 + 6*x*Log[25/4]*Log[x^2] - 2*x^2*Log[25/4]*Log[x^2] + 9*Log[x^2]^2 - 6*x*Log[x^2]^2 + x^2*Log[x^2]^2]/2","B",1
2166,1,39,27,0.3998099,"\int \frac{\exp \left(2-\exp \left(2 x+2 x^2+4 x \log \left(\frac{3}{2} x \log (x)\right)+2 \log ^2\left(\frac{3}{2} x \log (x)\right)\right)-x\right) \left(-x \log (x)+\exp \left(2 x+2 x^2+4 x \log \left(\frac{3}{2} x \log (x)\right)+2 \log ^2\left(\frac{3}{2} x \log (x)\right)\right) \left(-4 x+\left(-6 x-4 x^2\right) \log (x)+(-4+(-4-4 x) \log (x)) \log \left(\frac{3}{2} x \log (x)\right)\right)\right)}{x \log (x)} \, dx","Integrate[(E^(2 - E^(2*x + 2*x^2 + 4*x*Log[(3*x*Log[x])/2] + 2*Log[(3*x*Log[x])/2]^2) - x)*(-(x*Log[x]) + E^(2*x + 2*x^2 + 4*x*Log[(3*x*Log[x])/2] + 2*Log[(3*x*Log[x])/2]^2)*(-4*x + (-6*x - 4*x^2)*Log[x] + (-4 + (-4 - 4*x)*Log[x])*Log[(3*x*Log[x])/2])))/(x*Log[x]),x]","\exp \left(-\exp \left(2 \left(x^2+x+\log ^2\left(\frac{3}{2} x \log (x)\right)+2 x \log \left(\frac{3}{2} x \log (x)\right)\right)\right)-x+2\right)","\exp \left(-x-e^{2 \left(x+\left(x+\log \left(\frac{3}{2} x \log (x)\right)\right)^2\right)}+2\right)",1,"E^(2 - E^(2*(x + x^2 + 2*x*Log[(3*x*Log[x])/2] + Log[(3*x*Log[x])/2]^2)) - x)","A",1
2167,1,55,18,1.4187023,"\int \frac{9-6 x^2+x^4+e^{-\frac{3 x}{-3+x^2}} \left(9 x+3 x^3\right)}{e^{-\frac{3 x}{-3+x^2}} \left(9 x-6 x^3+x^5\right)+\left(9 x-6 x^3+x^5\right) \log (x)} \, dx","Integrate[(9 - 6*x^2 + x^4 + (9*x + 3*x^3)/E^((3*x)/(-3 + x^2)))/((9*x - 6*x^3 + x^5)/E^((3*x)/(-3 + x^2)) + (9*x - 6*x^3 + x^5)*Log[x]),x]","\log \left(e^{\frac{3 x}{x^2-3}} \log (x)+1\right)+\frac{1}{2} \sqrt{3} \log \left(\sqrt{3}-x\right)-\frac{1}{2} \sqrt{3} \log \left(x+\sqrt{3}\right)","\log \left(e^{\frac{3 x}{3-x^2}}+\log (x)\right)",1,"(Sqrt[3]*Log[Sqrt[3] - x])/2 - (Sqrt[3]*Log[Sqrt[3] + x])/2 + Log[1 + E^((3*x)/(-3 + x^2))*Log[x]]","B",0
2168,1,36,29,0.203553,"\int \frac{e^{3-e^2+x-e^{x+\log ^2(3)} x+\log ^2(3)} (7+7 x)}{10 e^{6-2 e^2-2 e^{x+\log ^2(3)} x}+20 e^{3-e^2-e^{x+\log ^2(3)} x} \log (3)+10 \log ^2(3)} \, dx","Integrate[(E^(3 - E^2 + x - E^(x + Log[3]^2)*x + Log[3]^2)*(7 + 7*x))/(10*E^(6 - 2*E^2 - 2*E^(x + Log[3]^2)*x) + 20*E^(3 - E^2 - E^(x + Log[3]^2)*x)*Log[3] + 10*Log[3]^2),x]","-\frac{7 e^3}{10 \log (3) \left(\log (3) e^{x e^{x+\log ^2(3)}+e^2}+e^3\right)}","\frac{7}{10 \left(e^{x \left(-e^{x+\log ^2(3)}\right)-e^2+3}+\log (3)\right)}",1,"(-7*E^3)/(10*Log[3]*(E^3 + E^(E^2 + E^(x + Log[3]^2)*x)*Log[3]))","A",1
2169,1,41,34,0.0219589,"\int \frac{228-354 x+73 x^2+266 x^3-378 x^4+172 x^5+26 x^6-8 x^7-x^8}{-224+388 x-87 x^2-70 x^3+42 x^4-84 x^5+22 x^6+12 x^7+x^8} \, dx","Integrate[(228 - 354*x + 73*x^2 + 266*x^3 - 378*x^4 + 172*x^5 + 26*x^6 - 8*x^7 - x^8)/(-224 + 388*x - 87*x^2 - 70*x^3 + 42*x^4 - 84*x^5 + 22*x^6 + 12*x^7 + x^8),x]","-\log \left(-x^2-6 x+7\right)+\log \left(x^6+6 x^5-7 x^4-7 x^2-28 x+32\right)-x","\log \left(-x^4+\frac{2 x-\frac{3}{1-x}}{x+7}+5\right)-x-\frac{1}{4}",1,"-x - Log[7 - 6*x - x^2] + Log[32 - 28*x - 7*x^2 - 7*x^4 + 6*x^5 + x^6]","A",1
2170,1,17,17,0.0124738,"\int \frac{-16 e^{x^2} \log (2)+e^{x^2} \left(-32 x+32 x^2\right) \log (2) \log (-1+x)}{(-9+9 x) \log ^2(-1+x)} \, dx","Integrate[(-16*E^x^2*Log[2] + E^x^2*(-32*x + 32*x^2)*Log[2]*Log[-1 + x])/((-9 + 9*x)*Log[-1 + x]^2),x]","\frac{16 e^{x^2} \log (2)}{9 \log (x-1)}","\frac{16 e^{x^2} \log (2)}{9 \log (x-1)}",1,"(16*E^x^2*Log[2])/(9*Log[-1 + x])","A",1
2171,1,30,27,0.7264402,"\int \frac{5-4 e^{4-x}+8 x}{-3+e^5+4 e^{4-x}+5 x+4 x^2} \, dx","Integrate[(5 - 4*E^(4 - x) + 8*x)/(-3 + E^5 + 4*E^(4 - x) + 5*x + 4*x^2),x]","\log \left(e^x \left(4 x^2+5 x-3\right)+e^{x+5}+4 e^4\right)-x","\log \left(-4 x^2-x-4 \left(x+e^{4-x}\right)-e^5+3\right)",1,"-x + Log[4*E^4 + E^(5 + x) + E^x*(-3 + 5*x + 4*x^2)]","A",1
2172,1,17,21,0.0045859,"\int \frac{448}{69} e^{\frac{1}{3} \left(-3 e^4+14 x\right)} \, dx","Integrate[(448*E^((-3*E^4 + 14*x)/3))/69,x]","\frac{32}{23} e^{\frac{14 x}{3}-e^4}","2 \left(\frac{16}{23} e^{\frac{14 x}{3}-e^4}-3\right)",1,"(32*E^(-E^4 + (14*x)/3))/23","A",1
2173,1,18,18,0.0119395,"\int \left(1-2 e^{2 e^2+2 x}+2 x\right) \, dx","Integrate[1 - 2*E^(2*E^2 + 2*x) + 2*x,x]","x^2+x-e^{2 x+2 e^2}","x^2+x-e^{2 x+2 e^2}",1,"-E^(2*E^2 + 2*x) + x + x^2","A",1
2174,1,33,34,0.1401294,"\int \frac{-5-6 x^2-2 x^3-x^4+\left(5-5 x-x^2-x^3\right) \log \left(\frac{x+x \log (\log (5))}{\log (\log (5))}\right)}{25 x^2+5 x^4+\left(25 x+5 x^3\right) \log \left(\frac{x+x \log (\log (5))}{\log (\log (5))}\right)} \, dx","Integrate[(-5 - 6*x^2 - 2*x^3 - x^4 + (5 - 5*x - x^2 - x^3)*Log[(x + x*Log[Log[5]])/Log[Log[5]]])/(25*x^2 + 5*x^4 + (25*x + 5*x^3)*Log[(x + x*Log[Log[5]])/Log[Log[5]]]),x]","\frac{1}{5} \left(-\log \left(x^2+5\right)-x+\log (x)-\log \left(x+\log \left(x \left(1+\frac{1}{\log (\log (5))}\right)\right)\right)\right)","\frac{1}{5} \left(\log \left(\frac{20}{\left(x+\frac{5}{x}\right) \left(x+\log \left(x+\frac{x}{\log (\log (5))}\right)\right)}\right)-x\right)",1,"(-x + Log[x] - Log[5 + x^2] - Log[x + Log[x*(1 + Log[Log[5]]^(-1))]])/5","A",1
2175,1,32,25,0.0349303,"\int \frac{-5 x-e^x x \log (2)-4 x^2 \log (2)+8 \log (2) \log ^3(x)}{x \log (2)} \, dx","Integrate[(-5*x - E^x*x*Log[2] - 4*x^2*Log[2] + 8*Log[2]*Log[x]^3)/(x*Log[2]),x]","-\frac{x^2 \log (16)}{2 \log (2)}-e^x+2 \log ^4(x)-\frac{5 x}{\log (2)}","-2 x^2-e^x+2 \log ^4(x)-\frac{5 x}{\log (2)}+5",1,"-E^x - (5*x)/Log[2] - (x^2*Log[16])/(2*Log[2]) + 2*Log[x]^4","A",1
2176,1,22,19,0.0202494,"\int \frac{e^{12} \left(-e^5+e^{10} \left(-1-x^2\right)\right)}{1+e^5 \left(2+2 x-2 x^2\right)+e^{10} \left(1+2 x-x^2-2 x^3+x^4\right)} \, dx","Integrate[(E^12*(-E^5 + E^10*(-1 - x^2)))/(1 + E^5*(2 + 2*x - 2*x^2) + E^10*(1 + 2*x - x^2 - 2*x^3 + x^4)),x]","-\frac{e^{17} x}{e^5 \left(-x^2+x+1\right)+1}","\frac{e^{12}}{x-\frac{1+\frac{1}{e^5}}{x}-1}",1,"-((E^17*x)/(1 + E^5*(1 + x - x^2)))","A",1
2177,1,59,29,0.7073297,"\int \frac{e (2-x)+48 x-32 x^2+(16-16 x) \log (4)+(-16+16 x) \log (-3+3 x)+e^{e^x} \left(-32+16 x+e^x \left(-16 x+16 x^2+(-16+16 x) \log (4)\right)+e^x (16-16 x) \log (-3+3 x)\right)}{-16+16 x} \, dx","Integrate[(E*(2 - x) + 48*x - 32*x^2 + (16 - 16*x)*Log[4] + (-16 + 16*x)*Log[-3 + 3*x] + E^E^x*(-32 + 16*x + E^x*(-16*x + 16*x^2 + (-16 + 16*x)*Log[4]) + E^x*(16 - 16*x)*Log[-3 + 3*x]))/(-16 + 16*x),x]","-x^2+e^{e^x} x-\frac{e x}{16}-x \log (4)+\frac{1}{16} e \log (1-x)+\left(x-e^{e^x}\right) \log (3 (x-1))+e^{e^x} \log (4)","\left(x-e^{e^x}+\frac{e}{16}\right) (-x+\log (3 (x-1))-\log (4))",1,"-1/16*(E*x) + E^E^x*x - x^2 + E^E^x*Log[4] - x*Log[4] + (E*Log[1 - x])/16 + (-E^E^x + x)*Log[3*(-1 + x)]","B",1
2178,1,8,8,0.0000815,"\int \frac{12058624 x^{22}}{e^6} \, dx","Integrate[(12058624*x^22)/E^6,x]","\frac{524288 x^{23}}{e^6}","\frac{524288 x^{23}}{e^6}",1,"(524288*x^23)/E^6","A",1
2179,1,31,22,0.0213073,"\int \frac{-x^2+3 x^2 \log (x)+\left(-1-9 x-3 x^2-2 x \log \left(\frac{1}{x}\right)\right) \log ^2(x)}{\log ^2(x)} \, dx","Integrate[(-x^2 + 3*x^2*Log[x] + (-1 - 9*x - 3*x^2 - 2*x*Log[x^(-1)])*Log[x]^2)/Log[x]^2,x]","-x^3+\frac{x^3}{\log (x)}-5 x^2-x^2 \log \left(\frac{1}{x}\right)-x","-x^2 \left(x+\frac{1}{x}-\frac{x}{\log (x)}+\log \left(\frac{1}{x}\right)+5\right)",1,"-x - 5*x^2 - x^3 - x^2*Log[x^(-1)] + x^3/Log[x]","A",1
2180,1,32,21,0.002514,"\int \left(4+3 e+24 x+12 x^2+e^4 (12+8 x)\right) \, dx","Integrate[4 + 3*E + 24*x + 12*x^2 + E^4*(12 + 8*x),x]","4 x^3+4 e^4 x^2+12 x^2+12 e^4 x+3 e x+4 x","\left(x+e^4\right) \left(4 \left(x^2+3 x+e+1\right)-e\right)",1,"4*x + 3*E*x + 12*E^4*x + 12*x^2 + 4*E^4*x^2 + 4*x^3","A",1
2181,1,32,31,0.64636,"\int \frac{-28 x+4 x^4+6 x^4 \log \left(7-x^3\right)+\left(-14 x+14 x^3+2 x^4-2 x^6\right) \log ^2\left(7-x^3\right)}{14-2 x^3+\left(-7 x^2+x^5\right) \log ^2\left(7-x^3\right)} \, dx","Integrate[(-28*x + 4*x^4 + 6*x^4*Log[7 - x^3] + (-14*x + 14*x^3 + 2*x^4 - 2*x^6)*Log[7 - x^3]^2)/(14 - 2*x^3 + (-7*x^2 + x^5)*Log[7 - x^3]^2),x]","2 \left(\frac{1}{2} \log \left(2-x^2 \log ^2\left(7-x^3\right)\right)-\frac{x^2}{2}\right)","-x^2+\log \left(x^2 \log ^2\left(9-\frac{x^4+2 x}{x}\right)-2\right)-1",1,"2*(-1/2*x^2 + Log[2 - x^2*Log[7 - x^3]^2]/2)","A",1
2182,1,31,28,0.2215962,"\int \frac{5 x \log (x)+\log ^{e^{\frac{1}{5} \left(-14-16 x+4 x^2+4 x^3-x^4\right)}}(x) \left(5 e^{\frac{1}{5} \left(-14-16 x+4 x^2+4 x^3-x^4\right)}+e^{\frac{1}{5} \left(-14-16 x+4 x^2+4 x^3-x^4\right)} \left(-16 x+8 x^2+12 x^3-4 x^4\right) \log (x) \log (\log (x))\right)}{5 x \log (x)} \, dx","Integrate[(5*x*Log[x] + Log[x]^E^((-14 - 16*x + 4*x^2 + 4*x^3 - x^4)/5)*(5*E^((-14 - 16*x + 4*x^2 + 4*x^3 - x^4)/5) + E^((-14 - 16*x + 4*x^2 + 4*x^3 - x^4)/5)*(-16*x + 8*x^2 + 12*x^3 - 4*x^4)*Log[x]*Log[Log[x]]))/(5*x*Log[x]),x]","\log ^{e^{\frac{1}{5} \left(-x^4+4 x^3+4 x^2-16 x-14\right)}}(x)+x","\log ^{e^{\frac{1}{5} \left(2-\left(-x^2+2 x+4\right)^2\right)}}(x)+x+3",1,"x + Log[x]^E^((-14 - 16*x + 4*x^2 + 4*x^3 - x^4)/5)","A",1
2183,1,20,24,0.183757,"\int \frac{-7+20 x+e^x (16+4 x)+4 \log (x)}{-2 x+4 e^x x+4 x^2+x \log (x)} \, dx","Integrate[(-7 + 20*x + E^x*(16 + 4*x) + 4*Log[x])/(-2*x + 4*E^x*x + 4*x^2 + x*Log[x]),x]","4 \log (x)+\log \left(-4 x-4 e^x-\log (x)+2\right)","\log \left(x^4 \left(x+e^x\right) \left(\frac{\log (x)-2}{x+e^x}+4\right)\right)",1,"4*Log[x] + Log[2 - 4*E^x - 4*x - Log[x]]","A",1
2184,1,19,22,0.1603946,"\int \frac{480-240 x+(-480+480 x) \log (x)+576 \log ^2(x)}{100 x^2-100 x^3+25 x^4+\left(480 x-480 x^2+120 x^3\right) \log (x)+\left(576-576 x+144 x^2\right) \log ^2(x)} \, dx","Integrate[(480 - 240*x + (-480 + 480*x)*Log[x] + 576*Log[x]^2)/(100*x^2 - 100*x^3 + 25*x^4 + (480*x - 480*x^2 + 120*x^3)*Log[x] + (576 - 576*x + 144*x^2)*Log[x]^2),x]","-\frac{48 \log (x)}{(x-2) (5 x+12 \log (x))}","\frac{12}{(2-x) \left(\frac{5 x}{4 \log (x)}+3\right)}",1,"(-48*Log[x])/((-2 + x)*(5*x + 12*Log[x]))","A",1
2185,1,24,22,0.0641925,"\int \frac{x+7 x^2-4 x^4-7 x^5+\left(-8 x+8 x^4\right) \log \left(x-x^4\right)+\left(-2 x^2+2 x^5+\left(2 x-2 x^4\right) \log \left(x-x^4\right)\right) \log \left(-x+\log \left(x-x^4\right)\right)}{x-x^4+\left(-1+x^3\right) \log \left(x-x^4\right)} \, dx","Integrate[(x + 7*x^2 - 4*x^4 - 7*x^5 + (-8*x + 8*x^4)*Log[x - x^4] + (-2*x^2 + 2*x^5 + (2*x - 2*x^4)*Log[x - x^4])*Log[-x + Log[x - x^4]])/(x - x^4 + (-1 + x^3)*Log[x - x^4]),x]","4 x^2-x^2 \log \left(\log \left(x-x^4\right)-x\right)","x \left(4 x-x \log \left(\log \left(x-x^4\right)-x\right)\right)",1,"4*x^2 - x^2*Log[-x + Log[x - x^4]]","A",1
2186,1,18,21,0.0059704,"\int \frac{200-40 e^{32}+2 e^{64}-2 x^4}{x^3} \, dx","Integrate[(200 - 40*E^32 + 2*E^64 - 2*x^4)/x^3,x]","-\frac{x^4+e^{64}-20 e^{32}+100}{x^2}","3-\left(\frac{10-e^{32}}{x}-x\right)^2",1,"-((100 - 20*E^32 + E^64 + x^4)/x^2)","A",1
2187,1,12,14,0.0058153,"\int \frac{e^{6-2 x} (-80-160 x)}{x^2} \, dx","Integrate[(E^(6 - 2*x)*(-80 - 160*x))/x^2,x]","\frac{80 e^{6-2 x}}{x}","\frac{80 e^{6-2 x}}{x}+5",1,"(80*E^(6 - 2*x))/x","A",1
2188,1,34,25,0.0122127,"\int \frac{-x-3 x^4-4 x^2 \log \left(\frac{x}{2}\right)-2 x^2 \log ^2\left(\frac{x}{2}\right)-4 \log ^3\left(\frac{x}{2}\right)+\log ^4\left(\frac{x}{2}\right)}{x^2} \, dx","Integrate[(-x - 3*x^4 - 4*x^2*Log[x/2] - 2*x^2*Log[x/2]^2 - 4*Log[x/2]^3 + Log[x/2]^4)/x^2,x]","-x^3-\frac{\log ^4\left(\frac{x}{2}\right)}{x}-2 x \log ^2\left(\frac{x}{2}\right)-\log (x)","-x \left(x+\frac{\log ^2\left(\frac{x}{2}\right)}{x}\right)^2-\log (x)-16",1,"-x^3 - 2*x*Log[x/2]^2 - Log[x/2]^4/x - Log[x]","A",1
2189,1,54,31,0.404417,"\int \frac{\exp \left(\frac{e^{3/x} x^2+e^{3/x} \log \left(\log \left(e^{e^x} x\right)\right)}{8+e^{3/x} x^2}\right) \left(8 e^{3/x} x+e^{6/x} x^3+e^x \left(8 e^{3/x} x^2+e^{6/x} x^4\right)+e^{3/x} \left(-24 x^2+16 x^3\right) \log \left(e^{e^x} x\right)+\left(-24 e^{3/x}-2 e^{6/x} x^3\right) \log \left(e^{e^x} x\right) \log \left(\log \left(e^{e^x} x\right)\right)\right)}{\left(64 x^2+16 e^{3/x} x^4+e^{6/x} x^6\right) \log \left(e^{e^x} x\right)} \, dx","Integrate[(E^((E^(3/x)*x^2 + E^(3/x)*Log[Log[E^E^x*x]])/(8 + E^(3/x)*x^2))*(8*E^(3/x)*x + E^(6/x)*x^3 + E^x*(8*E^(3/x)*x^2 + E^(6/x)*x^4) + E^(3/x)*(-24*x^2 + 16*x^3)*Log[E^E^x*x] + (-24*E^(3/x) - 2*E^(6/x)*x^3)*Log[E^E^x*x]*Log[Log[E^E^x*x]]))/((64*x^2 + 16*E^(3/x)*x^4 + E^(6/x)*x^6)*Log[E^E^x*x]),x]","e^{1-\frac{8}{e^{3/x} x^2+8}} \log ^{\frac{e^{3/x}}{e^{3/x} x^2+8}}\left(e^{e^x} x\right)","e^{\frac{x^2+\log \left(\log \left(e^{e^x} x\right)\right)}{x^2+8 e^{-3/x}}}",1,"E^(1 - 8/(8 + E^(3/x)*x^2))*Log[E^E^x*x]^(E^(3/x)/(8 + E^(3/x)*x^2))","A",1
2190,1,13,21,0.0012987,"\int \frac{-1+2 \log (4)}{2 x^2 \log (4)} \, dx","Integrate[(-1 + 2*Log[4])/(2*x^2*Log[4]),x]","-\frac{\log (16)-1}{x \log (16)}","\frac{x-\frac{2 x-1}{\log (4)}-2}{2 x}",1,"-((-1 + Log[16])/(x*Log[16]))","A",1
2191,1,20,24,0.0518077,"\int \frac{-59 x+e^{\frac{4 x^2+4 x \log (5)+\log ^2(5)}{x}} \left(3 x+12 x^2-3 \log ^2(5)\right)}{x} \, dx","Integrate[(-59*x + E^((4*x^2 + 4*x*Log[5] + Log[5]^2)/x)*(3*x + 12*x^2 - 3*Log[5]^2))/x,x]","x \left(1875 e^{4 x+\frac{\log ^2(5)}{x}}-59\right)","x+3 x \left(e^{\frac{(2 x+\log (5))^2}{x}}-20\right)-4+\log (9)",1,"(-59 + 1875*E^(4*x + Log[5]^2/x))*x","A",1
2192,1,26,24,4.0292473,"\int \frac{e^{4 x-5 x^2-x^3+x \log (5)-x \log (3-x)} \left(-12+33 x-x^2-3 x^3+(-3+x) \log (5)+(3-x) \log (3-x)\right)}{-3+x} \, dx","Integrate[(E^(4*x - 5*x^2 - x^3 + x*Log[5] - x*Log[3 - x])*(-12 + 33*x - x^2 - 3*x^3 + (-3 + x)*Log[5] + (3 - x)*Log[3 - x]))/(-3 + x),x]","5^x e^{-x \left(x^2+5 x-4\right)} (3-x)^{-x}","e^{x \left(-x \left(x+\frac{\log (3-x)}{x}+5\right)+4+\log (5)\right)}",1,"5^x/(E^(x*(-4 + 5*x + x^2))*(3 - x)^x)","A",1
2193,1,42,36,0.3878338,"\int \frac{-4 x^2-x^3-2 x^4+e^{-x-x^2 \log (x)+x^2 \log \left(\frac{4+x+2 x^2}{x^2}\right)} \left(-4-9 x-16 x^2-6 x^3-2 x^4+\left(-8 x^2-2 x^3-4 x^4\right) \log (x)+\left(8 x^2+2 x^3+4 x^4\right) \log \left(\frac{4+x+2 x^2}{x^2}\right)\right)}{4 x^2+x^3+2 x^4+e^{-x-x^2 \log (x)+x^2 \log \left(\frac{4+x+2 x^2}{x^2}\right)} \left(4 x+x^2+2 x^3\right)} \, dx","Integrate[(-4*x^2 - x^3 - 2*x^4 + E^(-x - x^2*Log[x] + x^2*Log[(4 + x + 2*x^2)/x^2])*(-4 - 9*x - 16*x^2 - 6*x^3 - 2*x^4 + (-8*x^2 - 2*x^3 - 4*x^4)*Log[x] + (8*x^2 + 2*x^3 + 4*x^4)*Log[(4 + x + 2*x^2)/x^2]))/(4*x^2 + x^3 + 2*x^4 + E^(-x - x^2*Log[x] + x^2*Log[(4 + x + 2*x^2)/x^2])*(4*x + x^2 + 2*x^3)),x]","x^2 (-\log (x))+\log \left(\left(\frac{4}{x^2}+\frac{1}{x}+2\right)^{x^2}+e^x x^{x^2+1}\right)-2 x-\log (x)","\log \left(\frac{e^{x^2 \left(\log \left(\frac{x+4}{x^2}+2\right)-\log (x)\right)-x}+x}{x}\right)-x",1,"-2*x - Log[x] - x^2*Log[x] + Log[(2 + 4/x^2 + x^(-1))^x^2 + E^x*x^(1 + x^2)]","A",1
2194,1,25,25,0.2014162,"\int \frac{\left(-4+4 x^2-x^4+\log ^2\left(\frac{x^3}{3}\right)+\left(4-2 x^2\right) \log (\log (x))-\log ^2(\log (x))\right)^x \left(-4+2 x^2+\left(-8 x^2+4 x^4\right) \log (x)-6 \log (x) \log \left(\frac{x^3}{3}\right)+\left(2+4 x^2 \log (x)\right) \log (\log (x))+\left(\left(4-4 x^2+x^4\right) \log (x)-\log (x) \log ^2\left(\frac{x^3}{3}\right)+\left(-4+2 x^2\right) \log (x) \log (\log (x))+\log (x) \log ^2(\log (x))\right) \log \left(-4+4 x^2-x^4+\log ^2\left(\frac{x^3}{3}\right)+\left(4-2 x^2\right) \log (\log (x))-\log ^2(\log (x))\right)\right)}{\left(4-4 x^2+x^4\right) \log (x)-\log (x) \log ^2\left(\frac{x^3}{3}\right)+\left(-4+2 x^2\right) \log (x) \log (\log (x))+\log (x) \log ^2(\log (x))} \, dx","Integrate[((-4 + 4*x^2 - x^4 + Log[x^3/3]^2 + (4 - 2*x^2)*Log[Log[x]] - Log[Log[x]]^2)^x*(-4 + 2*x^2 + (-8*x^2 + 4*x^4)*Log[x] - 6*Log[x]*Log[x^3/3] + (2 + 4*x^2*Log[x])*Log[Log[x]] + ((4 - 4*x^2 + x^4)*Log[x] - Log[x]*Log[x^3/3]^2 + (-4 + 2*x^2)*Log[x]*Log[Log[x]] + Log[x]*Log[Log[x]]^2)*Log[-4 + 4*x^2 - x^4 + Log[x^3/3]^2 + (4 - 2*x^2)*Log[Log[x]] - Log[Log[x]]^2]))/((4 - 4*x^2 + x^4)*Log[x] - Log[x]*Log[x^3/3]^2 + (-4 + 2*x^2)*Log[x]*Log[Log[x]] + Log[x]*Log[Log[x]]^2),x]","\left(\log ^2\left(\frac{x^3}{3}\right)-\left(x^2+\log (\log (x))-2\right)^2\right)^x","\left(\log ^2\left(\frac{x^3}{3}\right)-\left(x^2+\log (\log (x))-2\right)^2\right)^x",1,"(Log[x^3/3]^2 - (-2 + x^2 + Log[Log[x]])^2)^x","A",1
2195,1,20,28,0.0012512,"\int \frac{1}{4} \left(45-86 x+6 x^2\right) \log (3) \, dx","Integrate[((45 - 86*x + 6*x^2)*Log[3])/4,x]","\frac{1}{4} \left(2 x^3-43 x^2+45 x\right) \log (3)","\left(x+(1-x) \left(\frac{1}{4} (3 (12-x)+x+1) x+x\right)\right) \log (3)",1,"((45*x - 43*x^2 + 2*x^3)*Log[3])/4","A",1
2196,1,28,27,0.7103983,"\int \frac{e^{2 x} \left(-200 x^7+50 e^4 x^7-25 x^8\right)+e^x \left(-120 x^2-80 x^3-10 x^4+e^4 \left(30 x^2+10 x^3\right)\right)}{4-20 e^x x^5+25 e^{2 x} x^{10}} \, dx","Integrate[(E^(2*x)*(-200*x^7 + 50*E^4*x^7 - 25*x^8) + E^x*(-120*x^2 - 80*x^3 - 10*x^4 + E^4*(30*x^2 + 10*x^3)))/(4 - 20*E^x*x^5 + 25*E^(2*x)*x^10),x]","-\frac{5 e^x \left(-x+e^4-4\right) x^3}{5 e^x x^5-2}","\frac{x-e^4+4}{x^2-\frac{2 e^{-x}}{5 x^3}}",1,"(-5*E^x*(-4 + E^4 - x)*x^3)/(-2 + 5*E^x*x^5)","A",1
2197,0,0,29,2.8472098,"\int \frac{\exp \left(-\frac{e^{2 x+x^2}}{5+e^{x^2} (-1-\log (3))+e^{x^2} \log (x)}\right) \left(e^{2 x+x^2} \left(-40 x-40 x^2\right)+e^{2 x+2 x^2} (4+8 x+8 x \log (3))-8 e^{2 x+2 x^2} x \log (x)\right)}{25 x+e^{x^2} (-10 x-10 x \log (3))+e^{2 x^2} \left(x+2 x \log (3)+x \log ^2(3)\right)+\left(10 e^{x^2} x+e^{2 x^2} (-2 x-2 x \log (3))\right) \log (x)+e^{2 x^2} x \log ^2(x)} \, dx","Integrate[(E^(2*x + x^2)*(-40*x - 40*x^2) + E^(2*x + 2*x^2)*(4 + 8*x + 8*x*Log[3]) - 8*E^(2*x + 2*x^2)*x*Log[x])/(E^(E^(2*x + x^2)/(5 + E^x^2*(-1 - Log[3]) + E^x^2*Log[x]))*(25*x + E^x^2*(-10*x - 10*x*Log[3]) + E^(2*x^2)*(x + 2*x*Log[3] + x*Log[3]^2) + (10*E^x^2*x + E^(2*x^2)*(-2*x - 2*x*Log[3]))*Log[x] + E^(2*x^2)*x*Log[x]^2)),x]","\int \frac{\exp \left(-\frac{e^{2 x+x^2}}{5+e^{x^2} (-1-\log (3))+e^{x^2} \log (x)}\right) \left(e^{2 x+x^2} \left(-40 x-40 x^2\right)+e^{2 x+2 x^2} (4+8 x+8 x \log (3))-8 e^{2 x+2 x^2} x \log (x)\right)}{25 x+e^{x^2} (-10 x-10 x \log (3))+e^{2 x^2} \left(x+2 x \log (3)+x \log ^2(3)\right)+\left(10 e^{x^2} x+e^{2 x^2} (-2 x-2 x \log (3))\right) \log (x)+e^{2 x^2} x \log ^2(x)} \, dx","4 e^{\frac{e^{2 x}}{-5 e^{-x^2}-\log (x)+1+\log (3)}}",1,"Integrate[(E^(2*x + x^2)*(-40*x - 40*x^2) + E^(2*x + 2*x^2)*(4 + 8*x + 8*x*Log[3]) - 8*E^(2*x + 2*x^2)*x*Log[x])/(E^(E^(2*x + x^2)/(5 + E^x^2*(-1 - Log[3]) + E^x^2*Log[x]))*(25*x + E^x^2*(-10*x - 10*x*Log[3]) + E^(2*x^2)*(x + 2*x*Log[3] + x*Log[3]^2) + (10*E^x^2*x + E^(2*x^2)*(-2*x - 2*x*Log[3]))*Log[x] + E^(2*x^2)*x*Log[x]^2)), x]","F",-1
2198,1,24,26,0.4762223,"\int \frac{e^x \left(9 e^3 x-9 x^2\right)+\left(e^x \left(-18 e^3+27 x\right)+\left(18 e^3-27 x\right) \log (\log (4))\right) \log \left(e^x-\log (\log (4))\right)}{e^x \left(-e^6 x^3+2 e^3 x^4-x^5\right)+\left(e^6 x^3-2 e^3 x^4+x^5\right) \log (\log (4))} \, dx","Integrate[(E^x*(9*E^3*x - 9*x^2) + (E^x*(-18*E^3 + 27*x) + (18*E^3 - 27*x)*Log[Log[4]])*Log[E^x - Log[Log[4]]])/(E^x*(-(E^6*x^3) + 2*E^3*x^4 - x^5) + (E^6*x^3 - 2*E^3*x^4 + x^5)*Log[Log[4]]),x]","-\frac{9 \log \left(e^x-\log (\log (4))\right)}{\left(e^3-x\right) x^2}","\frac{9 \log \left(e^x-\log (\log (4))\right)}{x^2 \left(x-e^3\right)}+2",1,"(-9*Log[E^x - Log[Log[4]]])/((E^3 - x)*x^2)","A",1
2199,1,18,18,0.0681499,"\int \frac{1}{6} e^{-4 x^2} \left(2 x-8 x^3+e^{x+4 x^2} \left(2 x+x^2\right)\right) \, dx","Integrate[(2*x - 8*x^3 + E^(x + 4*x^2)*(2*x + x^2))/(6*E^(4*x^2)),x]","\frac{1}{6} \left(e^{-4 x^2}+e^x\right) x^2","\frac{1}{6} \left(e^{-4 x^2}+e^x\right) x^2",1,"((E^x + E^(-4*x^2))*x^2)/6","A",1
2200,1,20,15,0.2372479,"\int e^{3 x} \left(3 e^4+2 x+9 x^2+10 x^3+3 x^4+e^3 (4+12 x)+e^2 \left(2+18 x+18 x^2\right)+e \left(8 x+24 x^2+12 x^3\right)\right) \, dx","Integrate[E^(3*x)*(3*E^4 + 2*x + 9*x^2 + 10*x^3 + 3*x^4 + E^3*(4 + 12*x) + E^2*(2 + 18*x + 18*x^2) + E*(8*x + 24*x^2 + 12*x^3)),x]","e^{3 x} \left(x^2+2 e x+x+e^2\right)^2","e^{3 x} \left((x+e)^2+x\right)^2",1,"E^(3*x)*(E^2 + x + 2*E*x + x^2)^2","A",1
2201,1,28,28,0.6247839,"\int \frac{-e^{3 x}+3375 x^6-10125 x^7+10125 x^8-3375 x^9+\exp \left(\frac{16-2 e^{2 x}-450 x^4+900 x^5-450 x^6+e^x \left(60 x^2-60 x^3\right)}{e^{2 x}+225 x^4-450 x^5+225 x^6+e^x \left(-30 x^2+30 x^3\right)}\right) \left(32 e^x-960 x+1440 x^2\right)+e^{2 x} \left(45 x^2-45 x^3\right)+e^x \left(-675 x^4+1350 x^5-675 x^6\right)}{e^{3 x}-3375 x^6+10125 x^7-10125 x^8+3375 x^9+e^{2 x} \left(-45 x^2+45 x^3\right)+e^x \left(675 x^4-1350 x^5+675 x^6\right)} \, dx","Integrate[(-E^(3*x) + 3375*x^6 - 10125*x^7 + 10125*x^8 - 3375*x^9 + E^((16 - 2*E^(2*x) - 450*x^4 + 900*x^5 - 450*x^6 + E^x*(60*x^2 - 60*x^3))/(E^(2*x) + 225*x^4 - 450*x^5 + 225*x^6 + E^x*(-30*x^2 + 30*x^3)))*(32*E^x - 960*x + 1440*x^2) + E^(2*x)*(45*x^2 - 45*x^3) + E^x*(-675*x^4 + 1350*x^5 - 675*x^6))/(E^(3*x) - 3375*x^6 + 10125*x^7 - 10125*x^8 + 3375*x^9 + E^(2*x)*(-45*x^2 + 45*x^3) + E^x*(675*x^4 - 1350*x^5 + 675*x^6)),x]","-e^{\frac{16}{\left(15 x^3-15 x^2+e^x\right)^2}-2}-x","-e^{\frac{16}{\left(5 (3 x-3) x^2+e^x\right)^2}-2}-x",1,"-E^(-2 + 16/(E^x - 15*x^2 + 15*x^3)^2) - x","A",1
2202,1,24,26,0.1319064,"\int \frac{-x^2+e^{\frac{x^3+x \log (3)-e^x \log (4)}{x^2}} \left(x^3-x \log (3)+e^x (2-x) \log (4)\right)}{x^3} \, dx","Integrate[(-x^2 + E^((x^3 + x*Log[3] - E^x*Log[4])/x^2)*(x^3 - x*Log[3] + E^x*(2 - x)*Log[4]))/x^3,x]","3^{\frac{1}{x}} 4^{-\frac{e^x}{x^2}} e^x-\log (x)","e^{x+\frac{\log (3)-\frac{e^x \log (4)}{x}}{x}}-\log (x)",1,"(3^x^(-1)*E^x)/4^(E^x/x^2) - Log[x]","A",1
2203,1,33,30,0.0441958,"\int \frac{7454200-2564100 x+1823674 x^2-532140 x^3+66501 x^4-3780 x^5+81 x^6+\left(-12220-4798 x^2+840 x^3-36 x^4\right) \log (x)+4 x^2 \log ^2(x)}{1493284 x^2-513240 x^3+66096 x^4-3780 x^5+81 x^6+\left(-4888 x^2+840 x^3-36 x^4\right) \log (x)+4 x^2 \log ^2(x)} \, dx","Integrate[(7454200 - 2564100*x + 1823674*x^2 - 532140*x^3 + 66501*x^4 - 3780*x^5 + 81*x^6 + (-12220 - 4798*x^2 + 840*x^3 - 36*x^4)*Log[x] + 4*x^2*Log[x]^2)/(1493284*x^2 - 513240*x^3 + 66096*x^4 - 3780*x^5 + 81*x^6 + (-4888*x^2 + 840*x^3 - 36*x^4)*Log[x] + 4*x^2*Log[x]^2),x]","\frac{5 \left(9 x^2-210 x+1222\right)}{x \left(-9 x^2+210 x+2 \log (x)-1222\right)}+x","x+\frac{5}{x \left(\frac{2 \log (x)}{(3 (10-x)+5)^2-3}-1\right)}",1,"x + (5*(1222 - 210*x + 9*x^2))/(x*(-1222 + 210*x - 9*x^2 + 2*Log[x]))","A",1
2204,1,17,19,0.0287292,"\int \frac{1500+800 x-480 x^2-384 x^3-64 x^4+\left(3000+3600 x+1440 x^2+192 x^3\right) \log ^2(3)+\left(900+120 x-336 x^2-96 x^3+\left(1800+1440 x+288 x^2\right) \log ^2(3)\right) \log \left(-2+x-3 \log ^2(3)\right)+\left(180-48 x-48 x^2+(360+144 x) \log ^2(3)\right) \log ^2\left(-2+x-3 \log ^2(3)\right)+\left(12-8 x+24 \log ^2(3)\right) \log ^3\left(-2+x-3 \log ^2(3)\right)}{2-x+3 \log ^2(3)} \, dx","Integrate[(1500 + 800*x - 480*x^2 - 384*x^3 - 64*x^4 + (3000 + 3600*x + 1440*x^2 + 192*x^3)*Log[3]^2 + (900 + 120*x - 336*x^2 - 96*x^3 + (1800 + 1440*x + 288*x^2)*Log[3]^2)*Log[-2 + x - 3*Log[3]^2] + (180 - 48*x - 48*x^2 + (360 + 144*x)*Log[3]^2)*Log[-2 + x - 3*Log[3]^2]^2 + (12 - 8*x + 24*Log[3]^2)*Log[-2 + x - 3*Log[3]^2]^3)/(2 - x + 3*Log[3]^2),x]","\left(2 x+\log \left(x-2-3 \log ^2(3)\right)+5\right)^4","\left(2 x+\log \left(x-2-3 \log ^2(3)\right)+5\right)^4-1",1,"(5 + 2*x + Log[-2 + x - 3*Log[3]^2])^4","A",1
2205,1,26,28,0.1211413,"\int \frac{e^{\frac{4+x}{5+3 x}} \left(-138-111 x-27 x^2\right)+e^{\frac{4+x}{5+3 x}} \left(-46-37 x-9 x^2\right) \log ^2(\log (4))}{225+420 x+286 x^2+84 x^3+9 x^4} \, dx","Integrate[(E^((4 + x)/(5 + 3*x))*(-138 - 111*x - 27*x^2) + E^((4 + x)/(5 + 3*x))*(-46 - 37*x - 9*x^2)*Log[Log[4]]^2)/(225 + 420*x + 286*x^2 + 84*x^3 + 9*x^4),x]","\frac{e^{\frac{x+4}{3 x+5}} \left(3+\log ^2(\log (4))\right)}{x+3}","\frac{e^{\frac{x+4}{3 x+5}} \left(3+\log ^2(\log (4))\right)}{x+3}+3",1,"(E^((4 + x)/(5 + 3*x))*(3 + Log[Log[4]]^2))/(3 + x)","A",1
2206,1,32,30,0.0285209,"\int \frac{-60-24 x+23 x^2+10 x^3+x^4+e^{e^2} \left(250 x^2+100 x^3+10 x^4\right)}{50 x^2+20 x^3+2 x^4} \, dx","Integrate[(-60 - 24*x + 23*x^2 + 10*x^3 + x^4 + E^E^2*(250*x^2 + 100*x^3 + 10*x^4))/(50*x^2 + 20*x^3 + 2*x^4),x]","\frac{1}{2} \left(\left(1+10 e^{e^2}\right) x-\frac{2}{5 (x+5)}+\frac{12}{5 x}\right)","\frac{x^2+2}{2 x}+5 e^{e^2} x+\frac{1}{(x+5) x}",1,"(12/(5*x) + (1 + 10*E^E^2)*x - 2/(5*(5 + x)))/2","A",1
2207,1,38,28,0.3171369,"\int \frac{e^{-\log ^2(x)} \left(e^{\log ^2(x)} \left(-2 x^2-4 e^{8+2 x^2} x^2+e^{4+x^2} \left(-2 x-4 x^3\right)\right)+\left(-20-4 e^{8+2 x^2}-8 e^{4+x^2} x-4 x^2\right) \log (x)\right)}{5 x+e^{8+2 x^2} x+2 e^{4+x^2} x^2+x^3} \, dx","Integrate[(E^Log[x]^2*(-2*x^2 - 4*E^(8 + 2*x^2)*x^2 + E^(4 + x^2)*(-2*x - 4*x^3)) + (-20 - 4*E^(8 + 2*x^2) - 8*E^(4 + x^2)*x - 4*x^2)*Log[x])/(E^Log[x]^2*(5*x + E^(8 + 2*x^2)*x + 2*E^(4 + x^2)*x^2 + x^3)),x]","2 e^{-\log ^2(x)}-\log \left(x^2+2 e^{x^2+4} x+e^{2 x^2+8}+5\right)","-\log \left(\left(e^{x^2+4}+x\right)^2+5\right)+2 e^{-\log ^2(x)}+4",1,"2/E^Log[x]^2 - Log[5 + E^(8 + 2*x^2) + 2*E^(4 + x^2)*x + x^2]","A",1
2208,1,43,33,0.149484,"\int \frac{-1912 x+81 x^2-x^3+e^5 \left(-7680+324 x-4 x^2\right)+\left(-479 x+10 x^2+e^5 (-1920+40 x)\right) \log (x)+\left(-120 e^5-30 x\right) \log ^2(x)+\left(-89 x+2 x^2+e^5 (-356+8 x)+\left(-44 e^5-11 x\right) \log (x)\right) \log \left(\frac{1}{4} \left(4 e^5+x\right)\right)+\left(-4 e^5-x\right) \log ^2\left(\frac{1}{4} \left(4 e^5+x\right)\right)}{1600 x-80 x^2+x^3+e^5 \left(6400-320 x+4 x^2\right)+\left(e^5 (1600-40 x)+400 x-10 x^2\right) \log (x)+\left(100 e^5+25 x\right) \log ^2(x)+\left(e^5 (320-8 x)+80 x-2 x^2+\left(40 e^5+10 x\right) \log (x)\right) \log \left(\frac{1}{4} \left(4 e^5+x\right)\right)+\left(4 e^5+x\right) \log ^2\left(\frac{1}{4} \left(4 e^5+x\right)\right)} \, dx","Integrate[(-1912*x + 81*x^2 - x^3 + E^5*(-7680 + 324*x - 4*x^2) + (-479*x + 10*x^2 + E^5*(-1920 + 40*x))*Log[x] + (-120*E^5 - 30*x)*Log[x]^2 + (-89*x + 2*x^2 + E^5*(-356 + 8*x) + (-44*E^5 - 11*x)*Log[x])*Log[(4*E^5 + x)/4] + (-4*E^5 - x)*Log[(4*E^5 + x)/4]^2)/(1600*x - 80*x^2 + x^3 + E^5*(6400 - 320*x + 4*x^2) + (E^5*(1600 - 40*x) + 400*x - 10*x^2)*Log[x] + (100*E^5 + 25*x)*Log[x]^2 + (E^5*(320 - 8*x) + 80*x - 2*x^2 + (40*E^5 + 10*x)*Log[x])*Log[(4*E^5 + x)/4] + (4*E^5 + x)*Log[(4*E^5 + x)/4]^2),x]","-\frac{1}{5} x \left(\frac{x-\log \left(\frac{x}{4}+e^5\right)}{-x+\log \left(\frac{x}{4}+e^5\right)+5 \log (x)+40}+6\right)","\frac{x}{\frac{\log \left(\frac{x}{4}+e^5\right)-x}{-\log (x)-8}-5}-x",1,"-1/5*(x*(6 + (x - Log[E^5 + x/4])/(40 - x + Log[E^5 + x/4] + 5*Log[x])))","A",1
2209,1,18,18,0.0576414,"\int -\frac{20 e^{1+e^{e^{1+x}}+e^{1+x}+x}}{49+14 e^2+e^4+e^{2 e^{e^{1+x}}}+e^{e^{e^{1+x}}} \left(14+2 e^2\right)} \, dx","Integrate[(-20*E^(1 + E^E^(1 + x) + E^(1 + x) + x))/(49 + 14*E^2 + E^4 + E^(2*E^E^(1 + x)) + E^E^E^(1 + x)*(14 + 2*E^2)),x]","\frac{20}{e^{e^{e^{x+1}}}+7+e^2}","\frac{20}{e^{e^{e^{x+1}}}+7+e^2}",1,"20/(7 + E^2 + E^E^E^(1 + x))","A",1
2210,1,33,28,0.048937,"\int \frac{2+2 x+e^5 (2+2 x)+(2+4 x) \log (x)}{x+2 x^2+e^5 \left(x+2 x^2\right)} \, dx","Integrate[(2 + 2*x + E^5*(2 + 2*x) + (2 + 4*x)*Log[x])/(x + 2*x^2 + E^5*(x + 2*x^2)),x]","2 \left(\frac{\left(\log (x)+e^5+1\right)^2}{2 \left(1+e^5\right)}-\frac{1}{2} \log (2 x+1)\right)","\frac{\log ^2(x)}{1+e^5}+\log (x)+\log \left(\frac{x}{5 (2 x+1)}\right)",1,"2*((1 + E^5 + Log[x])^2/(2*(1 + E^5)) - Log[1 + 2*x]/2)","A",1
2211,1,14,14,0.0089461,"\int \frac{16 e^{24 e^{x^2}} \left(-32+768 e^{x^2} x^2\right)}{x^3} \, dx","Integrate[(16*E^(24*E^x^2)*(-32 + 768*E^x^2*x^2))/x^3,x]","\frac{256 e^{24 e^{x^2}}}{x^2}","\frac{256 e^{24 e^{x^2}}}{x^2}",1,"(256*E^(24*E^x^2))/x^2","A",1
2212,1,28,29,0.4490403,"\int \frac{3 e^5 x^3+\exp \left(\frac{e^{\frac{3-x+25 e^5 x}{e^5 x}}}{3 x}+\frac{3-x+25 e^5 x}{e^5 x}\right) \left(3+e^5 x\right)}{3 e^5 x^3} \, dx","Integrate[(3*E^5*x^3 + E^(E^((3 - x + 25*E^5*x)/(E^5*x))/(3*x) + (3 - x + 25*E^5*x)/(E^5*x))*(3 + E^5*x))/(3*E^5*x^3),x]","x-e^{\frac{e^{\frac{\frac{3}{x}-1}{e^5}+25}}{3 x}}","x-e^{\frac{e^{25-\frac{x-3}{e^5 x}}}{3 x}}+9",1,"-E^(E^(25 + (-1 + 3/x)/E^5)/(3*x)) + x","A",1
2213,1,17,25,0.0209394,"\int \frac{2+4 e^e+e^x (1-x)}{5 x^2} \, dx","Integrate[(2 + 4*E^E + E^x*(1 - x))/(5*x^2),x]","-\frac{e^x+2+4 e^e}{5 x}","\frac{1}{5} \left(\frac{-x-e^x-4 e^e-2}{x}+4\right)",1,"-1/5*(2 + 4*E^E + E^x)/x","A",1
2214,1,55,21,1.1432958,"\int \frac{2 x^4+e^{16 x+4 x^2} \left(-2+16 x+8 x^2\right)+e^{12 x+3 x^2} \left(-4 x+48 x^2+24 x^3\right)+e^{8 x+2 x^2} \left(48 x^3+24 x^4\right)+e^{4 x+x^2} \left(4 x^3+16 x^4+8 x^5\right)}{e^{24 x+6 x^2}+6 e^{20 x+5 x^2} x+x^3+3 x^4+3 x^5+x^6+e^{16 x+4 x^2} \left(3 x+15 x^2\right)+e^{12 x+3 x^2} \left(12 x^2+20 x^3\right)+e^{8 x+2 x^2} \left(3 x^2+18 x^3+15 x^4\right)+e^{4 x+x^2} \left(6 x^3+12 x^4+6 x^5\right)} \, dx","Integrate[(2*x^4 + E^(16*x + 4*x^2)*(-2 + 16*x + 8*x^2) + E^(12*x + 3*x^2)*(-4*x + 48*x^2 + 24*x^3) + E^(8*x + 2*x^2)*(48*x^3 + 24*x^4) + E^(4*x + x^2)*(4*x^3 + 16*x^4 + 8*x^5))/(E^(24*x + 6*x^2) + 6*E^(20*x + 5*x^2)*x + x^3 + 3*x^4 + 3*x^5 + x^6 + E^(16*x + 4*x^2)*(3*x + 15*x^2) + E^(12*x + 3*x^2)*(12*x^2 + 20*x^3) + E^(8*x + 2*x^2)*(3*x^2 + 18*x^3 + 15*x^4) + E^(4*x + x^2)*(6*x^3 + 12*x^4 + 6*x^5)),x]","-\frac{x \left(2 x^2+4 e^{x (x+4)} x+x+2 e^{2 x (x+4)}\right)}{\left(x^2+2 e^{x (x+4)} x+x+e^{2 x (x+4)}\right)^2}","\left(\frac{x}{\left(x+e^{x (x+4)}\right)^2+x}-1\right)^2",1,"-((x*(2*E^(2*x*(4 + x)) + x + 4*E^(x*(4 + x))*x + 2*x^2))/(E^(2*x*(4 + x)) + x + 2*E^(x*(4 + x))*x + x^2)^2)","B",1
2215,1,105,35,0.0823318,"\int \frac{-x^6+120 x^7+1112 x^8+3210 x^9+3504 x^{10}+1300 x^{11}+150 x^{12}+e^9 \left(-1+50 x^2+780 x^3+2904 x^4+1300 x^5+150 x^6\right)+e^6 \left(-3 x^2+90 x^3+1374 x^4+6390 x^5+9612 x^6+3900 x^7+450 x^8\right)+e^3 \left(33 x^4+570 x^5+3336 x^6+8820 x^7+10212 x^8+3900 x^9+450 x^{10}\right)}{e^9 x+3 e^6 x^3+3 e^3 x^5+x^7} \, dx","Integrate[(-x^6 + 120*x^7 + 1112*x^8 + 3210*x^9 + 3504*x^10 + 1300*x^11 + 150*x^12 + E^9*(-1 + 50*x^2 + 780*x^3 + 2904*x^4 + 1300*x^5 + 150*x^6) + E^6*(-3*x^2 + 90*x^3 + 1374*x^4 + 6390*x^5 + 9612*x^6 + 3900*x^7 + 450*x^8) + E^3*(33*x^4 + 570*x^5 + 3336*x^6 + 8820*x^7 + 10212*x^8 + 3900*x^9 + 450*x^10))/(E^9*x + 3*E^6*x^3 + 3*E^3*x^5 + x^7),x]","25 x^6+260 x^5+876 x^4+1070 x^3-2 \left(75 e^3-278\right) x^2-\frac{3 e^3 \left(70 x-3 e^3 (90 x+109)+50 e^6+6\right)}{x^2+e^3}+\frac{9 e^6 \left(10 x-25 e^3+1\right)}{\left(x^2+e^3\right)^2}-30 \left(27 e^3-4\right) x-\log (x)","\left(5 x^2+x\right)^2 \left(x+\frac{3}{x+\frac{e^3}{x}}+5\right)^2-\log (-x)",1,"-30*(-4 + 27*E^3)*x - 2*(-278 + 75*E^3)*x^2 + 1070*x^3 + 876*x^4 + 260*x^5 + 25*x^6 + (9*E^6*(1 - 25*E^3 + 10*x))/(E^3 + x^2)^2 - (3*E^3*(6 + 50*E^6 + 70*x - 3*E^3*(109 + 90*x)))/(E^3 + x^2) - Log[x]","B",1
2216,1,26,28,0.1555757,"\int \frac{e^{5+3 x-e^{\frac{x}{2 e^4+2 x}} x+x^2} \left(6 x^2+4 x^3+e^8 (6+4 x)+e^{\frac{x}{2 e^4+2 x}} \left(-2 e^8-5 e^4 x-2 x^2\right)+e^4 \left(12 x+8 x^2\right)\right)}{2 e^8+4 e^4 x+2 x^2} \, dx","Integrate[(E^(5 + 3*x - E^(x/(2*E^4 + 2*x))*x + x^2)*(6*x^2 + 4*x^3 + E^8*(6 + 4*x) + E^(x/(2*E^4 + 2*x))*(-2*E^8 - 5*E^4*x - 2*x^2) + E^4*(12*x + 8*x^2)))/(2*E^8 + 4*E^4*x + 2*x^2),x]","e^{x^2-\left(e^{\frac{x}{2 \left(x+e^4\right)}}-3\right) x+5}","e^{x \left(x-e^{\frac{x}{2 \left(x+e^4\right)}}+\frac{5}{x}+3\right)}",1,"E^(5 - (-3 + E^(x/(2*(E^4 + x))))*x + x^2)","A",1
2217,1,17,17,0.0049954,"\int -\frac{5}{50 x+20 e^{25} x \log (x)+2 e^{50} x \log ^2(x)} \, dx","Integrate[-5/(50*x + 20*E^25*x*Log[x] + 2*E^50*x*Log[x]^2),x]","\frac{5}{2 e^{25} \left(e^{25} \log (x)+5\right)}","\frac{\log (x)}{2 \left(-e^{25} \log (x)-5\right)}",1,"5/(2*E^25*(5 + E^25*Log[x]))","A",1
2218,1,35,34,0.5056065,"\int \exp \left(-e^{4 x} x^2+4 e^{2 e^{4-e^{x^2}}+5 x} x^2-6 e^{4 e^{4-e^{x^2}}+6 x} x^2+4 e^{6 e^{4-e^{x^2}}+7 x} x^2-e^{8 e^{4-e^{x^2}}+8 x} x^2\right) \left(e^{4 x} \left(-6 x-12 x^2\right)+e^{8 e^{4-e^{x^2}}+8 x} \left(-6 x-24 x^2+48 e^{4-e^{x^2}+x^2} x^3\right)+e^{4 e^{4-e^{x^2}}+4 x} \left(144 e^{4-e^{x^2}+2 x+x^2} x^3+e^{2 x} \left(-36 x-108 x^2\right)\right)+e^{2 e^{4-e^{x^2}}+2 x} \left(-48 e^{4-e^{x^2}+3 x+x^2} x^3+e^{3 x} \left(24 x+60 x^2\right)\right)+e^{6 e^{4-e^{x^2}}+6 x} \left(-144 e^{4-e^{x^2}+x+x^2} x^3+e^x \left(24 x+84 x^2\right)\right)\right) \, dx","Integrate[E^(-(E^(4*x)*x^2) + 4*E^(2*E^(4 - E^x^2) + 5*x)*x^2 - 6*E^(4*E^(4 - E^x^2) + 6*x)*x^2 + 4*E^(6*E^(4 - E^x^2) + 7*x)*x^2 - E^(8*E^(4 - E^x^2) + 8*x)*x^2)*(E^(4*x)*(-6*x - 12*x^2) + E^(8*E^(4 - E^x^2) + 8*x)*(-6*x - 24*x^2 + 48*E^(4 - E^x^2 + x^2)*x^3) + E^(4*E^(4 - E^x^2) + 4*x)*(144*E^(4 - E^x^2 + 2*x + x^2)*x^3 + E^(2*x)*(-36*x - 108*x^2)) + E^(2*E^(4 - E^x^2) + 2*x)*(-48*E^(4 - E^x^2 + 3*x + x^2)*x^3 + E^(3*x)*(24*x + 60*x^2)) + E^(6*E^(4 - E^x^2) + 6*x)*(-144*E^(4 - E^x^2 + x + x^2)*x^3 + E^x*(24*x + 84*x^2))),x]","3 e^{-e^{4 x} \left(e^{2 e^{4-e^{x^2}}+x}-1\right)^4 x^2}","3 e^{-\left(e^x-e^{2 \left(e^{4-e^{x^2}}+x\right)}\right)^4 x^2}",1,"3/E^(E^(4*x)*(-1 + E^(2*E^(4 - E^x^2) + x))^4*x^2)","A",1
2219,1,20,22,0.0057577,"\int \frac{-20-2 x-30 x^2}{-10 x+x^2+5 x^3} \, dx","Integrate[(-20 - 2*x - 30*x^2)/(-10*x + x^2 + 5*x^3),x]","-2 \left(2 \log \left(-5 x^2-x+10\right)-\log (x)\right)","\log \left(\frac{x^2}{16 \left(-x^2-\frac{x}{5}+2\right)^4}\right)",1,"-2*(-Log[x] + 2*Log[10 - x - 5*x^2])","A",1
2220,1,12,12,0.058439,"\int \frac{e^x (4+(-4+4 x) \log (5 x))}{x^2} \, dx","Integrate[(E^x*(4 + (-4 + 4*x)*Log[5*x]))/x^2,x]","\frac{4 e^x \log (5 x)}{x}","\frac{4 e^x \log (5 x)}{x}",1,"(4*E^x*Log[5*x])/x","A",1
2221,1,39,30,0.1436232,"\int \frac{-e^{24+6 x-24 x^2-6 x^3}+2 e^{12+3 x-12 x^2-3 x^3}+e^{24+6 x-24 x^2-6 x^3} \left(-6 x+48 x^2+18 x^3\right) \log (x)+\left(-2+2 e^{12+3 x-12 x^2-3 x^3}+e^{12+3 x-12 x^2-3 x^3} \left(6 x-48 x^2-18 x^3\right) \log (x)\right) \log (\log (x))-\log ^2(\log (x))}{x} \, dx","Integrate[(-E^(24 + 6*x - 24*x^2 - 6*x^3) + 2*E^(12 + 3*x - 12*x^2 - 3*x^3) + E^(24 + 6*x - 24*x^2 - 6*x^3)*(-6*x + 48*x^2 + 18*x^3)*Log[x] + (-2 + 2*E^(12 + 3*x - 12*x^2 - 3*x^3) + E^(12 + 3*x - 12*x^2 - 3*x^3)*(6*x - 48*x^2 - 18*x^3)*Log[x])*Log[Log[x]] - Log[Log[x]]^2)/x,x]","-e^{-6 x^2 (x+4)} \log (x) \left(e^{3 (x+4)}-e^{3 x^2 (x+4)} \log (\log (x))\right)^2","\frac{1}{4}-\log (x) \left(e^{3 (x+4) \left(1-x^2\right)}-\log (\log (x))\right)^2",1,"-((Log[x]*(E^(3*(4 + x)) - E^(3*x^2*(4 + x))*Log[Log[x]])^2)/E^(6*x^2*(4 + x)))","A",1
2222,1,33,39,0.0853599,"\int \frac{16 x^2+4 x^5+e^{1-x} \left(-12 x-4 x^2+2 x^5\right)+\left(8 x^2-4 x^5+e^{1-x} \left(-4 x+2 x^4\right)\right) \log \left(\frac{4 x-2 x^4+e^{1-x} \left(-2+x^3\right)}{x^3}\right)}{\left(e^{1-x} \left(-2+x^3\right) \log ^2(2)+\left(4 x-2 x^4\right) \log ^2(2)\right) \log ^3\left(\frac{4 x-2 x^4+e^{1-x} \left(-2+x^3\right)}{x^3}\right)} \, dx","Integrate[(16*x^2 + 4*x^5 + E^(1 - x)*(-12*x - 4*x^2 + 2*x^5) + (8*x^2 - 4*x^5 + E^(1 - x)*(-4*x + 2*x^4))*Log[(4*x - 2*x^4 + E^(1 - x)*(-2 + x^3))/x^3])/((E^(1 - x)*(-2 + x^3)*Log[2]^2 + (4*x - 2*x^4)*Log[2]^2)*Log[(4*x - 2*x^4 + E^(1 - x)*(-2 + x^3))/x^3]^3),x]","\frac{x^2}{\log ^2(2) \log ^2\left(\frac{e^{-x} \left(e-2 e^x x\right) \left(x^3-2\right)}{x^3}\right)}","\frac{x^2}{\log ^2(2) \log ^2\left(\frac{\left(2 x-e^{1-x}\right) \left(\frac{2}{x}-x^2\right)}{x^2}\right)}",1,"x^2/(Log[2]^2*Log[((E - 2*E^x*x)*(-2 + x^3))/(E^x*x^3)]^2)","A",1
2223,1,24,19,0.1220169,"\int \frac{3 x^2+e^{\frac{625-450 x+131 x^2-18 x^3+x^4}{x}} \left(-625+131 x^2-36 x^3+3 x^4\right)}{x^2} \, dx","Integrate[(3*x^2 + E^((625 - 450*x + 131*x^2 - 18*x^3 + x^4)/x)*(-625 + 131*x^2 - 36*x^3 + 3*x^4))/x^2,x]","e^{x^3-18 x^2+131 x+\frac{625}{x}-450}+3 x","3 x+e^{\frac{\left((x-5)^2+x\right)^2}{x}}",1,"E^(-450 + 625/x + 131*x - 18*x^2 + x^3) + 3*x","A",1
2224,1,21,25,0.0651172,"\int \frac{e^{2-x} (-2-x)-\log (5)}{e^{2-x} (1+x)+(1+x) \log (5)} \, dx","Integrate[(E^(2 - x)*(-2 - x) - Log[5])/(E^(2 - x)*(1 + x) + (1 + x)*Log[5]),x]","-x-\log (x+1)+\log \left(e^x \log (5)+e^2\right)","\log \left(\frac{\left(4+e^4\right) \left(e^{2-x}+\log (5)\right)}{6 (x+1)}\right)",1,"-x - Log[1 + x] + Log[E^2 + E^x*Log[5]]","A",1
2225,1,30,30,0.3019299,"\int \frac{-19-4 e^3+e^x \left(48+24 x+3 x^2\right)}{204+83 x+8 x^2+e^3 \left(-4 x-x^2\right)+e^x \left(48+24 x+3 x^2\right)} \, dx","Integrate[(-19 - 4*E^3 + E^x*(48 + 24*x + 3*x^2))/(204 + 83*x + 8*x^2 + E^3*(-4*x - x^2) + E^x*(48 + 24*x + 3*x^2)),x]","\log \left(3 e^x x-e^3 x+8 x+12 e^x+51\right)-\log (x+4)","\log \left(\frac{\left(\frac{x-3}{x}+e^3+3\right) x}{x+4}-3 \left(e^x+4\right)\right)-4",1,"-Log[4 + x] + Log[51 + 12*E^x + 8*x - E^3*x + 3*E^x*x]","A",1
2226,1,18,24,0.029188,"\int \frac{2 x-e^{\frac{1}{x}} x+e^{\frac{1}{x}} (1-x) \log (x)}{4 x} \, dx","Integrate[(2*x - E^x^(-1)*x + E^x^(-1)*(1 - x)*Log[x])/(4*x),x]","\frac{1}{4} \left(2 x-e^{\frac{1}{x}} x \log (x)\right)","x+\frac{1}{2} \left(-x-\frac{1}{2} e^{\frac{1}{x}} x \log (x)-22\right)+1",1,"(2*x - E^x^(-1)*x*Log[x])/4","A",1
2227,1,20,20,0.0024515,"\int \frac{e^4 (-x+\log (x)) \left(10-2 x+\log ^2(x)\right)}{2 \left(10 x-2 x^2+x \log ^2(x)\right)} \, dx","Integrate[(E^4*(-x + Log[x])*(10 - 2*x + Log[x]^2))/(2*(10*x - 2*x^2 + x*Log[x]^2)),x]","\frac{1}{4} e^4 \log ^2(x)-\frac{e^4 x}{2}","\frac{1}{2} e^4 \left(-x+\frac{\log ^2(x)}{2}+5\right)",1,"-1/2*(E^4*x) + (E^4*Log[x]^2)/4","A",1
2228,1,22,24,0.0799685,"\int \frac{16-12 x+e x-4 x^2+\left(12 x-e x+8 x^2\right) \log (x)}{80 x \log ^2(x)} \, dx","Integrate[(16 - 12*x + E*x - 4*x^2 + (12*x - E*x + 8*x^2)*Log[x])/(80*x*Log[x]^2),x]","\frac{4 x^2-e x+12 x-16}{80 \log (x)}","\frac{x \left(\frac{x-4}{x}+x-\frac{e}{4}+2\right)}{20 \log (x)}",1,"(-16 + 12*x - E*x + 4*x^2)/(80*Log[x])","A",1
2229,1,39,28,0.0974981,"\int \frac{36+72 x+48 x^3-4 x^4+8 x^5+\left(-9 x-6 x^3-x^5+e^{4 x} \left(6 x^3-x^3 \log (4)\right)\right) \log ^2\left(\frac{e^{-4 x} \left(9+6 x^2+x^4+e^{4 x} \left(-6 x^2+x^2 \log (4)\right)\right)}{x^2}\right)}{\left(9 x+6 x^3+x^5+e^{4 x} \left(-6 x^3+x^3 \log (4)\right)\right) \log ^2\left(\frac{e^{-4 x} \left(9+6 x^2+x^4+e^{4 x} \left(-6 x^2+x^2 \log (4)\right)\right)}{x^2}\right)} \, dx","Integrate[(36 + 72*x + 48*x^3 - 4*x^4 + 8*x^5 + (-9*x - 6*x^3 - x^5 + E^(4*x)*(6*x^3 - x^3*Log[4]))*Log[(9 + 6*x^2 + x^4 + E^(4*x)*(-6*x^2 + x^2*Log[4]))/(E^(4*x)*x^2)]^2)/((9*x + 6*x^3 + x^5 + E^(4*x)*(-6*x^3 + x^3*Log[4]))*Log[(9 + 6*x^2 + x^4 + E^(4*x)*(-6*x^2 + x^2*Log[4]))/(E^(4*x)*x^2)]^2),x]","\frac{2}{\log \left(\frac{e^{-4 x} \left(x^4+x^2 \left(e^{4 x} (\log (4)-6)+6\right)+9\right)}{x^2}\right)}-x","\frac{2}{\log \left(e^{-4 x} \left(x+\frac{3}{x}\right)^2-6+\log (4)\right)}-x",1,"-x + 2/Log[(9 + x^4 + x^2*(6 + E^(4*x)*(-6 + Log[4])))/(E^(4*x)*x^2)]","A",1
2230,1,19,24,0.0078812,"\int \frac{-4-4 e^6-2 x-4 x^2}{1+e^6+x^2} \, dx","Integrate[(-4 - 4*E^6 - 2*x - 4*x^2)/(1 + E^6 + x^2),x]","-2 \left(\frac{1}{2} \log \left(x^2+e^6+1\right)+2 x\right)","-\log \left(e^x \left(-x^2-e^6-1\right)\right)-3 x+5",1,"-2*(2*x + Log[1 + E^6 + x^2]/2)","A",1
2231,1,3,18,0.0002405,"\int -\frac{1}{x^2} \, dx","Integrate[-x^(-2),x]","\frac{1}{x}","\frac{1}{x}+\frac{2}{9} \left(2+\frac{e^2}{3}\right)-1",1,"x^(-1)","A",1
2232,1,28,26,0.021732,"\int \frac{32 e^8+128 x^4+e^4 \left(24+128 x^2\right)}{9 x^3+16 e^8 x^3+48 x^5+64 x^7+e^4 \left(24 x^3+64 x^5\right)} \, dx","Integrate[(32*E^8 + 128*x^4 + E^4*(24 + 128*x^2))/(9*x^3 + 16*E^8*x^3 + 48*x^5 + 64*x^7 + E^4*(24*x^3 + 64*x^5)),x]","-\frac{4 \left(2 x^2+e^4\right)}{x^2 \left(8 x^2+4 e^4+3\right)}","-\frac{4}{4 x^2+\frac{3 x}{2 x+\frac{e^4}{x}}}",1,"(-4*(E^4 + 2*x^2))/(x^2*(3 + 4*E^4 + 8*x^2))","A",1
2233,1,14,17,0.1049151,"\int \frac{-1+x+(-5+10 x) \log (x)+(1-2 x) \log (x) \log (\log (x))}{\left(x^2-2 x^3+x^4\right) \log (x)} \, dx","Integrate[(-1 + x + (-5 + 10*x)*Log[x] + (1 - 2*x)*Log[x]*Log[Log[x]])/((x^2 - 2*x^3 + x^4)*Log[x]),x]","\frac{\log (\log (x))-5}{(x-1) x}","\frac{5-\log (\log (x))}{x-x^2}",1,"(-5 + Log[Log[x]])/((-1 + x)*x)","A",1
2234,1,104,27,0.7081587,"\int \frac{56 x^2-8 x^3+\left(-160 x-8 x^2-16 x^3-32 x \log (2)\right) \log (x)+\left(100+20 x+30 x^2+\left(40+4 x+6 x^2\right) \log (2)+4 \log ^2(2)\right) \log ^2(x)}{16 x^2+(-40 x-8 x \log (2)) \log (x)+\left(25+10 \log (2)+\log ^2(2)\right) \log ^2(x)} \, dx","Integrate[(56*x^2 - 8*x^3 + (-160*x - 8*x^2 - 16*x^3 - 32*x*Log[2])*Log[x] + (100 + 20*x + 30*x^2 + (40 + 4*x + 6*x^2)*Log[2] + 4*Log[2]^2)*Log[x]^2)/(16*x^2 + (-40*x - 8*x*Log[2])*Log[x] + (25 + 10*Log[2] + Log[2]^2)*Log[x]^2),x]","\frac{2 x^3 (15+\log (8))}{3 (5+\log (2))^2}+\frac{x^2 (10+\log (4))}{(5+\log (2))^2}+\frac{8 x^3 \left(-4 x^2 (5+\log (2))+x \left(5+\log ^2(2)+\log (64)\right)+25+\log ^2(16)-15 \log ^2(2)+\log (1024)\right)}{(5+\log (2))^2 (4 x-5-\log (2)) (4 x-(5+\log (2)) \log (x))}+4 x","4 \left(\frac{(x+1) x^2}{2 \left(-\frac{4 x}{\log (x)}+5+\log (2)\right)}+x\right)",1,"4*x + (x^2*(10 + Log[4]))/(5 + Log[2])^2 + (2*x^3*(15 + Log[8]))/(3*(5 + Log[2])^2) + (8*x^3*(25 - 15*Log[2]^2 - 4*x^2*(5 + Log[2]) + Log[16]^2 + x*(5 + Log[2]^2 + Log[64]) + Log[1024]))/((-5 + 4*x - Log[2])*(5 + Log[2])^2*(4*x - (5 + Log[2])*Log[x]))","B",0
2235,1,41,24,0.295192,"\int \frac{-2268-486 x+\left(270 x+162 x^2\right) \log (x)+\left(-756 x+162 x^2\right) \log ^2(x)+\left(576 x+306 x^2\right) \log ^3(x)+\left(252+306 x-54 x^2\right) \log ^4(x)-54 x \log ^5(x)}{\left(2744 x+1764 x^2+378 x^3+27 x^4\right) \log ^3(x)} \, dx","Integrate[(-2268 - 486*x + (270*x + 162*x^2)*Log[x] + (-756*x + 162*x^2)*Log[x]^2 + (576*x + 306*x^2)*Log[x]^3 + (252 + 306*x - 54*x^2)*Log[x]^4 - 54*x*Log[x]^5)/((2744*x + 1764*x^2 + 378*x^3 + 27*x^4)*Log[x]^3),x]","\frac{\left(3 \log ^2(x)-14 \log (x)-9\right) \left(3 \log ^2(x)+2 (3 x+7) \log (x)-9\right)}{(3 x+14)^2 \log ^2(x)}","\frac{\left(x+\log (x)-\frac{3}{\log (x)}\right)^2}{\left(-x-\frac{14}{3}\right)^2}+5",1,"((-9 - 14*Log[x] + 3*Log[x]^2)*(-9 + 2*(7 + 3*x)*Log[x] + 3*Log[x]^2))/((14 + 3*x)^2*Log[x]^2)","A",1
2236,1,16,20,0.0072834,"\int \frac{-9-x+60 x^2+4 x^3}{-x+4 x^3} \, dx","Integrate[(-9 - x + 60*x^2 + 4*x^3)/(-x + 4*x^3),x]","3 \log \left(1-4 x^2\right)+x+9 \log (x)","3 \left(\log \left(2 x^3 \left(1-4 x^2\right)\right)+2\right)+x-5",1,"x + 9*Log[x] + 3*Log[1 - 4*x^2]","A",1
2237,1,36,30,0.1386597,"\int \frac{32-12 x-2 x^2+e^x \left(-320-400 x-85 x^2-5 x^3\right)+16 \log \left(5 e^{-x} x^2\right)}{320+80 x+5 x^2} \, dx","Integrate[(32 - 12*x - 2*x^2 + E^x*(-320 - 400*x - 85*x^2 - 5*x^3) + 16*Log[(5*x^2)/E^x])/(320 + 80*x + 5*x^2),x]","\frac{1}{5} \left(-\frac{16 \log \left(5 e^{-x} x^2\right)}{x+8}-5 e^x x-2 x+4 \log (x)\right)","\frac{4 x \log \left(5 e^{-x} x^2\right)}{5 (2 x+16)}-e^x x",1,"(-2*x - 5*E^x*x + 4*Log[x] - (16*Log[(5*x^2)/E^x])/(8 + x))/5","A",1
2238,1,33,17,0.0148906,"\int \frac{-1200 x^5+300 x^6}{4096-4608 x+1728 x^2-216 x^3-200 x^6+75 x^7} \, dx","Integrate[(-1200*x^5 + 300*x^6)/(4096 - 4608*x + 1728*x^2 - 216*x^3 - 200*x^6 + 75*x^7),x]","300 \left(\frac{1}{300} \log \left(-25 x^6+72 x^2-384 x+512\right)-\frac{1}{150} \log (8-3 x)\right)","\log \left(2-\frac{25 x^6}{4 (3 x-8)^2}\right)",1,"300*(-1/150*Log[8 - 3*x] + Log[512 - 384*x + 72*x^2 - 25*x^6]/300)","A",1
2239,1,23,30,6.9499765,"\int \frac{-3 x-x^2+e^{5+x} \left(-9 x-3 x^2\right)+\left(3 x+2 x^2+e^{5+x} (9+6 x)\right) \log \left(\frac{\log (5)}{3 e^{5+x}+x}\right)}{45 e^{5+x}+15 x} \, dx","Integrate[(-3*x - x^2 + E^(5 + x)*(-9*x - 3*x^2) + (3*x + 2*x^2 + E^(5 + x)*(9 + 6*x))*Log[Log[5]/(3*E^(5 + x) + x)])/(45*E^(5 + x) + 15*x),x]","\frac{1}{15} x (x+3) \log \left(\frac{\log (5)}{x+3 e^{x+5}}\right)","\frac{1}{15} x (x+3) \log \left(\frac{\log (5)}{3 \left(\frac{x}{3}+e^{x+5}\right)}\right)+2",1,"(x*(3 + x)*Log[Log[5]/(3*E^(5 + x) + x)])/15","A",1
2240,1,20,24,0.242184,"\int \frac{e^{\frac{135 x}{-5 x^2+\log (x)}} \left(-270 x+1350 x^3+50 x^4+\left(270 x-20 x^2\right) \log (x)+2 \log ^2(x)\right)}{375 x^4-150 x^2 \log (x)+15 \log ^2(x)} \, dx","Integrate[(E^((135*x)/(-5*x^2 + Log[x]))*(-270*x + 1350*x^3 + 50*x^4 + (270*x - 20*x^2)*Log[x] + 2*Log[x]^2))/(375*x^4 - 150*x^2*Log[x] + 15*Log[x]^2),x]","\frac{2}{15} x e^{\frac{135 x}{\log (x)-5 x^2}}","\frac{2}{15} x e^{\frac{27}{\frac{\log (x)}{5 x}-x}}",1,"(2*E^((135*x)/(-5*x^2 + Log[x]))*x)/15","A",1
2241,1,29,28,0.8643042,"\int \frac{\exp \left(\frac{e^{2+4 x}+\left(-x^2+x \log ^2(x)\right) \log (\log (5))}{\log (\log (5))}\right) \left(4 e^{2+4 x} x+\left(1-2 x^2+2 x \log (x)+x \log ^2(x)\right) \log (\log (5))\right)}{\log (\log (5))} \, dx","Integrate[(E^((E^(2 + 4*x) + (-x^2 + x*Log[x]^2)*Log[Log[5]])/Log[Log[5]])*(4*E^(2 + 4*x)*x + (1 - 2*x^2 + 2*x*Log[x] + x*Log[x]^2)*Log[Log[5]]))/Log[Log[5]],x]","x e^{-x^2+x \log ^2(x)+\frac{e^{4 x+2}}{\log (\log (5))}}","x e^{x \left(\log ^2(x)-x\right)+\frac{e^{4 x+2}}{\log (\log (5))}}",1,"E^(-x^2 + x*Log[x]^2 + E^(2 + 4*x)/Log[Log[5]])*x","A",1
2242,1,22,20,0.0083471,"\int \frac{-20-8 x^2}{5 x-x^2-2 x^3+x^2 \log (4)} \, dx","Integrate[(-20 - 8*x^2)/(5*x - x^2 - 2*x^3 + x^2*Log[4]),x]","4 \left(\log \left(-2 x^2-x+x \log (4)+5\right)-\log (x)\right)","\log \left(\left(2 x-\frac{x+x \log (4)+5}{x}+2\right)^4\right)",1,"4*(-Log[x] + Log[5 - x - 2*x^2 + x*Log[4]])","A",1
2243,1,29,27,0.0762424,"\int \frac{15+5 x^2+e^{5+x-x^2} \left(-3+3 x-6 x^2\right)-15 \log (x)}{5 x^2} \, dx","Integrate[(15 + 5*x^2 + E^(5 + x - x^2)*(-3 + 3*x - 6*x^2) - 15*Log[x])/(5*x^2),x]","\frac{5 x^2+3 e^{-x^2+x+5}+15 \log (x)}{5 x}","\frac{3 \left(\frac{1}{5} e^{-x^2+x+5}+\log (x)\right)}{x}+x+\frac{77}{16}",1,"(3*E^(5 + x - x^2) + 5*x^2 + 15*Log[x])/(5*x)","A",1
2244,1,23,25,0.1710037,"\int -\frac{2 e^3}{\left(-4 x+2 x^2+e^3 \left(2 x-x^2\right)+e^3 \left(-2 x+x^2\right) \log \left(\frac{2-x}{x}\right)\right) \log \left(\frac{1}{2-e^3+e^3 \log \left(\frac{2-x}{x}\right)}\right)} \, dx","Integrate[(-2*E^3)/((-4*x + 2*x^2 + E^3*(2*x - x^2) + E^3*(-2*x + x^2)*Log[(2 - x)/x])*Log[(2 - E^3 + E^3*Log[(2 - x)/x])^(-1)]),x]","\log \left(\log \left(\frac{1}{e^3 \log \left(\frac{2}{x}-1\right)-e^3+2}\right)\right)","\log \left(\log \left(\frac{1}{e^3 \log \left(\frac{2-x}{x}\right)-e^3+2}\right)\right)",1,"Log[Log[(2 - E^3 + E^3*Log[-1 + 2/x])^(-1)]]","A",1
2245,1,17,17,0.0049354,"\int \frac{-96+176 x-104 x^2}{16+4 x+13 x^2} \, dx","Integrate[(-96 + 176*x - 104*x^2)/(16 + 4*x + 13*x^2),x]","-8 \left(x-\log \left(13 x^2+4 x+16\right)\right)","8 \left(\log \left(\frac{13 x^2}{4}+x+4\right)-x\right)",1,"-8*(x - Log[16 + 4*x + 13*x^2])","A",1
2246,1,30,11,0.0046124,"\int \frac{4 x+10 x^2+12 x^3+4 x^4+\left(2+4 x+4 x^2\right) \log (x)}{x} \, dx","Integrate[(4*x + 10*x^2 + 12*x^3 + 4*x^4 + (2 + 4*x + 4*x^2)*Log[x])/x,x]","x^4+4 x^3+4 x^2+2 x^2 \log (x)+\log ^2(x)+4 x \log (x)","\left(x^2+2 x+\log (x)\right)^2",1,"4*x^2 + 4*x^3 + x^4 + 4*x*Log[x] + 2*x^2*Log[x] + Log[x]^2","B",1
2247,1,18,17,0.1423115,"\int \frac{-9+6 x-x^2+e^{e^x} \left(-3+e^x \left(-3 x+x^2\right)\right)}{9-6 x+x^2} \, dx","Integrate[(-9 + 6*x - x^2 + E^E^x*(-3 + E^x*(-3*x + x^2)))/(9 - 6*x + x^2),x]","-\frac{x \left(x-e^{e^x}-3\right)}{x-3}","\frac{e^{e^x} x}{x-3}-x+16",1,"-((x*(-3 - E^E^x + x))/(-3 + x))","A",1
2248,1,26,18,0.0000765,"\int \frac{x (i \pi +\log (5))}{18 e^3} \, dx","Integrate[(x*(I*Pi + Log[5]))/(18*E^3),x]","\frac{x^2 \log (5)}{36 e^3}+\frac{i \pi  x^2}{36 e^3}","\frac{x^2 (\log (5)+i \pi )}{36 e^3}",1,"((I/36)*Pi*x^2)/E^3 + (x^2*Log[5])/(36*E^3)","A",1
2249,1,24,20,0.0252798,"\int \frac{e (1+x)-e \log ^2(9)}{1-x-x^2+x^3+\left(6-6 x^2\right) \log ^2(9)+(9+9 x) \log ^4(9)+\left(\left(2-2 x^2\right) \log ^2(9)+(6+6 x) \log ^4(9)\right) \log (1+x)+(1+x) \log ^4(9) \log ^2(1+x)} \, dx","Integrate[(E*(1 + x) - E*Log[9]^2)/(1 - x - x^2 + x^3 + (6 - 6*x^2)*Log[9]^2 + (9 + 9*x)*Log[9]^4 + ((2 - 2*x^2)*Log[9]^2 + (6 + 6*x)*Log[9]^4)*Log[1 + x] + (1 + x)*Log[9]^4*Log[1 + x]^2),x]","\frac{e}{-x+\log ^2(9) \log (x+1)+1+3 \log ^2(9)}","\frac{e}{-x+\log ^2(9) (\log (x+1)+3)+1}",1,"E/(1 - x + 3*Log[9]^2 + Log[9]^2*Log[1 + x])","A",1
2250,1,35,27,0.092516,"\int \frac{10 x-20 x \log (x)+\left(e^x (-2-2 x)-3 x-6 x^2+2 \log (3)\right) \log ^2(x)}{2 \log ^2(x)} \, dx","Integrate[(10*x - 20*x*Log[x] + (E^x*(-2 - 2*x) - 3*x - 6*x^2 + 2*Log[3])*Log[x]^2)/(2*Log[x]^2),x]","-x^3-\frac{3 x^2}{4}-\frac{5 x^2}{\log (x)}-e^x x+\frac{1}{2} x \log (9)","x \left(-x^2-\frac{3 x}{4}-e^x-\frac{5 x}{\log (x)}+\log (3)\right)",1,"-(E^x*x) - (3*x^2)/4 - x^3 + (x*Log[9])/2 - (5*x^2)/Log[x]","A",1
2251,1,13,16,0.0027005,"\int \frac{4+x^2+x^4+3 x^4 \log (x)}{x^2} \, dx","Integrate[(4 + x^2 + x^4 + 3*x^4*Log[x])/x^2,x]","x^3 \log (x)+x-\frac{4}{x}","\frac{x^4 \log (x)+x^2+x-4}{x}",1,"-4/x + x + x^3*Log[x]","A",1
2252,1,96,27,0.2712971,"\int \frac{6250-18500 x-22250 x^2+14924 x^3+16596 x^4+3546 x^5-506 x^6-300 x^7-42 x^8-2 x^9+\left(-6250+19850 x+18400 x^2-18904 x^3-12908 x^4-962 x^5+700 x^6+160 x^7+10 x^8\right) \log (4)+\left(2500-8470 x-5690 x^2+8774 x^3+3418 x^4-300 x^5-220 x^6-20 x^7\right) \log ^2(4)+\left(-500+1798 x+780 x^2-1918 x^3-300 x^4+120 x^5+20 x^6\right) \log ^3(4)+\left(50-190 x-40 x^2+200 x^3-10 x^4-10 x^5\right) \log ^4(4)+\left(-2+8 x-8 x^3+2 x^4\right) \log ^5(4)}{-3125 x^3-3125 x^4-1250 x^5-250 x^6-25 x^7-x^8+\left(3125 x^3+2500 x^4+750 x^5+100 x^6+5 x^7\right) \log (4)+\left(-1250 x^3-750 x^4-150 x^5-10 x^6\right) \log ^2(4)+\left(250 x^3+100 x^4+10 x^5\right) \log ^3(4)+\left(-25 x^3-5 x^4\right) \log ^4(4)+x^3 \log ^5(4)} \, dx","Integrate[(6250 - 18500*x - 22250*x^2 + 14924*x^3 + 16596*x^4 + 3546*x^5 - 506*x^6 - 300*x^7 - 42*x^8 - 2*x^9 + (-6250 + 19850*x + 18400*x^2 - 18904*x^3 - 12908*x^4 - 962*x^5 + 700*x^6 + 160*x^7 + 10*x^8)*Log[4] + (2500 - 8470*x - 5690*x^2 + 8774*x^3 + 3418*x^4 - 300*x^5 - 220*x^6 - 20*x^7)*Log[4]^2 + (-500 + 1798*x + 780*x^2 - 1918*x^3 - 300*x^4 + 120*x^5 + 20*x^6)*Log[4]^3 + (50 - 190*x - 40*x^2 + 200*x^3 - 10*x^4 - 10*x^5)*Log[4]^4 + (-2 + 8*x - 8*x^3 + 2*x^4)*Log[4]^5)/(-3125*x^3 - 3125*x^4 - 1250*x^5 - 250*x^6 - 25*x^7 - x^8 + (3125*x^3 + 2500*x^4 + 750*x^5 + 100*x^6 + 5*x^7)*Log[4] + (-1250*x^3 - 750*x^4 - 150*x^5 - 10*x^6)*Log[4]^2 + (250*x^3 + 100*x^4 + 10*x^5)*Log[4]^3 + (-25*x^3 - 5*x^4)*Log[4]^4 + x^3*Log[4]^5),x]","x^2+\frac{1}{x^2}-8 x+\frac{2 \left(24+\log ^2(4)-10 \log (4)\right)}{(\log (4)-5)^2 (x+5-\log (4))}+\frac{2 \left(46+\log ^2(4)-14 \log (4)\right)}{(\log (4)-5) (x+5-\log (4))^2}-\frac{2 \left(99+4 \log ^2(4)-40 \log (4)\right)}{x (\log (4)-5)^2}+\frac{1}{(x+5-\log (4))^4}","\frac{\left((x-3) x-x+\frac{x}{(x+5-\log (4))^2}+1\right)^2}{x^2}",1,"x^(-2) - 8*x + x^2 + (5 + x - Log[4])^(-4) + (2*(46 - 14*Log[4] + Log[4]^2))/((5 + x - Log[4])^2*(-5 + Log[4])) + (2*(24 - 10*Log[4] + Log[4]^2))/((5 + x - Log[4])*(-5 + Log[4])^2) - (2*(99 - 40*Log[4] + 4*Log[4]^2))/(x*(-5 + Log[4])^2)","B",1
2253,1,26,24,0.8256494,"\int \frac{4 x^4+\frac{e^{8 x} (-8+8 x)}{x^8}+e^{3 x^2} \left(-16 x^4-24 x^6\right)+e^{x^2} \left(-16 x^4-8 x^6\right)+e^{4 x^2} \left(4 x^4+8 x^6\right)+e^{2 x^2} \left(24 x^4+24 x^6\right)+\frac{e^{6 x} \left(20 x-24 x^2+e^{x^2} \left(-20 x+24 x^2+8 x^3\right)\right)}{x^6}+\frac{e^{4 x} \left(-12 x^2+24 x^3+e^{x^2} \left(24 x^2-48 x^3-24 x^4\right)+e^{2 x^2} \left(-12 x^2+24 x^3+24 x^4\right)\right)}{x^4}+\frac{e^{2 x} \left(-4 x^3-8 x^4+e^{2 x^2} \left(-12 x^3-24 x^4-48 x^5\right)+e^{3 x^2} \left(4 x^3+8 x^4+24 x^5\right)+e^{x^2} \left(12 x^3+24 x^4+24 x^5\right)\right)}{x^2}}{x} \, dx","Integrate[(4*x^4 + (E^(8*x)*(-8 + 8*x))/x^8 + E^(3*x^2)*(-16*x^4 - 24*x^6) + E^x^2*(-16*x^4 - 8*x^6) + E^(4*x^2)*(4*x^4 + 8*x^6) + E^(2*x^2)*(24*x^4 + 24*x^6) + (E^(6*x)*(20*x - 24*x^2 + E^x^2*(-20*x + 24*x^2 + 8*x^3)))/x^6 + (E^(4*x)*(-12*x^2 + 24*x^3 + E^x^2*(24*x^2 - 48*x^3 - 24*x^4) + E^(2*x^2)*(-12*x^2 + 24*x^3 + 24*x^4)))/x^4 + (E^(2*x)*(-4*x^3 - 8*x^4 + E^(2*x^2)*(-12*x^3 - 24*x^4 - 48*x^5) + E^(3*x^2)*(4*x^3 + 8*x^4 + 24*x^5) + E^x^2*(12*x^3 + 24*x^4 + 24*x^5)))/x^2)/x,x]","\frac{\left(-x^3+e^{x^2} x^3+e^{2 x}\right)^4}{x^8}","\left(\frac{e^{2 x}}{x^2}-\left(1-e^{x^2}\right) x\right)^4",1,"(E^(2*x) - x^3 + E^x^2*x^3)^4/x^8","A",1
2254,1,20,20,0.2577675,"\int e^{-3 e^{-2+2 x+x^2}+8 x} \left(16+e^{-2+2 x+x^2} (-12-12 x)\right) \, dx","Integrate[E^(-3*E^(-2 + 2*x + x^2) + 8*x)*(16 + E^(-2 + 2*x + x^2)*(-12 - 12*x)),x]","2 e^{8 x-3 e^{x^2+2 x-2}}","2 e^{8 x-3 e^{x^2+2 x-2}}",1,"2*E^(-3*E^(-2 + 2*x + x^2) + 8*x)","A",1
2255,1,59,28,0.0381331,"\int \frac{-12150+22680 x-17550 x^2+7200 x^3-1650 x^4+200 x^5-10 x^6+e^5 \left(-768-768 x+2592 x^2-2016 x^3-735 x^4+1993 x^5-1350 x^6+450 x^7-75 x^8+5 x^9\right)}{-243+405 x-270 x^2+90 x^3-15 x^4+x^5} \, dx","Integrate[(-12150 + 22680*x - 17550*x^2 + 7200*x^3 - 1650*x^4 + 200*x^5 - 10*x^6 + E^5*(-768 - 768*x + 2592*x^2 - 2016*x^3 - 735*x^4 + 1993*x^5 - 1350*x^6 + 450*x^7 - 75*x^8 + 5*x^9))/(-243 + 405*x - 270*x^2 + 90*x^3 - 15*x^4 + x^5),x]","\frac{e^5 \left(x^9-12 x^8+54 x^7-108 x^6+49 x^5+237 x^4-828 x^3+2430 x^2-4604 x+3645\right)}{(x-3)^4}-5 (x-10) x","e^5 x \left(x^2-\frac{16}{(3-x)^2}\right)^2-5 (x-5)^2",1,"-5*(-10 + x)*x + (E^5*(3645 - 4604*x + 2430*x^2 - 828*x^3 + 237*x^4 + 49*x^5 - 108*x^6 + 54*x^7 - 12*x^8 + x^9))/(-3 + x)^4","B",1
2256,1,25,24,0.0339207,"\int \frac{\left(-12-6 x-4 x^2+4 x^3+2 x^2 \log (x)\right) \log \left(\log \left(\frac{54-18 x-27 x^2+9 x^3+\left(-27 x+9 x^2\right) \log (x)}{x}\right)\right)}{\left(54 x-18 x^2-27 x^3+9 x^4+\left(-27 x^2+9 x^3\right) \log (x)\right) \log \left(\frac{54-18 x-27 x^2+9 x^3+\left(-27 x+9 x^2\right) \log (x)}{x}\right)} \, dx","Integrate[((-12 - 6*x - 4*x^2 + 4*x^3 + 2*x^2*Log[x])*Log[Log[(54 - 18*x - 27*x^2 + 9*x^3 + (-27*x + 9*x^2)*Log[x])/x]])/((54*x - 18*x^2 - 27*x^3 + 9*x^4 + (-27*x^2 + 9*x^3)*Log[x])*Log[(54 - 18*x - 27*x^2 + 9*x^3 + (-27*x + 9*x^2)*Log[x])/x]),x]","\frac{1}{9} \log ^2\left(\log \left(\frac{9 (x-3) \left(x^2+x \log (x)-2\right)}{x}\right)\right)","\frac{1}{9} \log ^2\left(\log \left(\frac{9 (x-3) (x (x+\log (x))-2)}{x}\right)\right)",1,"Log[Log[(9*(-3 + x)*(-2 + x^2 + x*Log[x]))/x]]^2/9","A",1
2257,1,18,20,0.0130129,"\int \frac{e^{-2 x} \left(-2 e^{2 x}-4 x^2+8 x^3\right)}{5 x^2} \, dx","Integrate[(-2*E^(2*x) - 4*x^2 + 8*x^3)/(5*E^(2*x)*x^2),x]","\frac{2}{5 x}-\frac{4}{5} e^{-2 x} x","\frac{-4 e^{-2 x} x^2+x+2}{5 x}",1,"2/(5*x) - (4*x)/(5*E^(2*x))","A",1
2258,1,24,26,5.0812603,"\int \frac{4 x^2+e^x \left(1-4 x+4 x^2\right)+\left(-6 x^2+12 x^3\right) \log \left(\frac{-5+10 x}{2 x}\right)}{e^{3 x} (-1+2 x)+e^{2 x} \left(-6 x^2+12 x^3\right) \log \left(\frac{-5+10 x}{2 x}\right)+e^x \left(-12 x^4+24 x^5\right) \log ^2\left(\frac{-5+10 x}{2 x}\right)+\left(-8 x^6+16 x^7\right) \log ^3\left(\frac{-5+10 x}{2 x}\right)} \, dx","Integrate[(4*x^2 + E^x*(1 - 4*x + 4*x^2) + (-6*x^2 + 12*x^3)*Log[(-5 + 10*x)/(2*x)])/(E^(3*x)*(-1 + 2*x) + E^(2*x)*(-6*x^2 + 12*x^3)*Log[(-5 + 10*x)/(2*x)] + E^x*(-12*x^4 + 24*x^5)*Log[(-5 + 10*x)/(2*x)]^2 + (-8*x^6 + 16*x^7)*Log[(-5 + 10*x)/(2*x)]^3),x]","-\frac{x}{\left(2 x^2 \log \left(5-\frac{5}{2 x}\right)+e^x\right)^2}","2-\frac{x}{\left(2 x^2 \log \left(5-\frac{5}{2 x}\right)+e^x\right)^2}",1,"-(x/(E^x + 2*x^2*Log[5 - 5/(2*x)])^2)","A",1
2259,1,18,18,0.0299063,"\int \frac{25+e+30 e^{2 x}+5 e^{4 x}}{25+e+10 e^{2 x}+e^{4 x}} \, dx","Integrate[(25 + E + 30*E^(2*x) + 5*E^(4*x))/(25 + E + 10*E^(2*x) + E^(4*x)),x]","x+\log \left(10 e^{2 x}+e^{4 x}+25+e\right)","x+\log \left(-\left(e^{2 x}+5\right)^2-e\right)",1,"x + Log[25 + E + 10*E^(2*x) + E^(4*x)]","A",1
2260,1,18,22,0.0048834,"\int \frac{25 x^4 \log ^4\left(\frac{4}{3}\right)}{-32 e^{50}+5 x^5 \log ^4\left(\frac{4}{3}\right)} \, dx","Integrate[(25*x^4*Log[4/3]^4)/(-32*E^50 + 5*x^5*Log[4/3]^4),x]","\log \left(5 x^5 \log ^4\left(\frac{4}{3}\right)-32 e^{50}\right)","\log \left(5 \left(\frac{5}{16} x^5 \log ^4\left(\frac{4}{3}\right)-2 e^{50}\right)\right)",1,"Log[-32*E^50 + 5*x^5*Log[4/3]^4]","A",1
2261,1,15,19,0.3472935,"\int \frac{1+2 x+e^{2 x-x^2} \left(2 x-2 x^3\right)}{x+x^2} \, dx","Integrate[(1 + 2*x + E^(2*x - x^2)*(2*x - 2*x^3))/(x + x^2),x]","e^{-((x-2) x)}+\log (x)+\log (x+1)","e^{2 x-x^2}+\log \left(x^2+x\right)+9",1,"E^(-((-2 + x)*x)) + Log[x] + Log[1 + x]","A",1
2262,1,26,22,0.0391745,"\int \left(50 e x+75 x^2+e^{-1+e^{2 x}} \left(e+2 x+e^{2 x} \left(2 e x+2 x^2\right)\right)\right) \, dx","Integrate[50*E*x + 75*x^2 + E^(-1 + E^(2*x))*(E + 2*x + E^(2*x)*(2*E*x + 2*x^2)),x]","25 x^3+25 e x^2+e^{e^{2 x}-1} (x+e) x","\left(\frac{e^{e^{2 x}-1}}{x}+25\right) x^2 (x+e)",1,"25*E*x^2 + 25*x^3 + E^(-1 + E^(2*x))*x*(E + x)","A",1
2263,1,29,30,0.1147997,"\int \frac{\left(-2 e x-2 e^{1+\frac{4}{x}} x\right) \log (x)+\left(e x+e^{1+\frac{4}{x}} x\right) \log ^2(x)+\left(-4 e x^2+e^{1+\frac{4}{x}} \left(16 x-4 x^2\right)+\left(e^{1+\frac{4}{x}} (-4+x)+e x\right) \log ^2(x)\right) \log \left(\frac{4 x-\log ^2(x)}{x}\right)}{\left(-8 x^2+2 x \log ^2(x)\right) \log ^2\left(\frac{4 x-\log ^2(x)}{x}\right)} \, dx","Integrate[((-2*E*x - 2*E^(1 + 4/x)*x)*Log[x] + (E*x + E^(1 + 4/x)*x)*Log[x]^2 + (-4*E*x^2 + E^(1 + 4/x)*(16*x - 4*x^2) + (E^(1 + 4/x)*(-4 + x) + E*x)*Log[x]^2)*Log[(4*x - Log[x]^2)/x])/((-8*x^2 + 2*x*Log[x]^2)*Log[(4*x - Log[x]^2)/x]^2),x]","\frac{e \left(e^{4/x}+1\right) x}{2 \log \left(4-\frac{\log ^2(x)}{x}\right)}","\frac{e \left(e^{4/x} x+x\right)}{2 \log \left(4-\frac{\log ^2(x)}{x}\right)}",1,"(E*(1 + E^(4/x))*x)/(2*Log[4 - Log[x]^2/x])","A",1
2264,1,28,30,0.1221852,"\int \frac{25 x-25 x^2-44 x^3-12 x^4+\left(75+35 x+23 x^2+14 x^3+6 x^4\right) \log \left(3-x+x^2\right)}{375 x^2+175 x^3+85 x^4+80 x^5+20 x^6} \, dx","Integrate[(25*x - 25*x^2 - 44*x^3 - 12*x^4 + (75 + 35*x + 23*x^2 + 14*x^3 + 6*x^4)*Log[3 - x + x^2])/(375*x^2 + 175*x^3 + 85*x^4 + 80*x^5 + 20*x^6),x]","-\frac{(3 x+5) \log \left(x^2-x+3\right)}{5 x (2 x+5)}","\frac{\log \left(x^2-x+3\right)}{5 \left(\frac{x^2}{3 x+5}-x\right)}",1,"-1/5*((5 + 3*x)*Log[3 - x + x^2])/(x*(5 + 2*x))","A",1
2265,1,50,23,0.0074264,"\int \left(12+4 x-6 x^2+\left(24 x^2-16 x^3\right) \log ^2(8)+\left(16 x^3-10 x^4\right) \log ^4(8)\right) \, dx","Integrate[12 + 4*x - 6*x^2 + (24*x^2 - 16*x^3)*Log[8]^2 + (16*x^3 - 10*x^4)*Log[8]^4,x]","-2 x^5 \log ^4(8)+4 x^4 \log ^4(8)-4 x^4 \log ^2(8)-2 x^3+8 x^3 \log ^2(8)+2 x^2+12 x","(4-2 x) \left(\left(x^2 \log ^2(8)+x\right)^2+x-4\right)+2",1,"12*x + 2*x^2 - 2*x^3 + 8*x^3*Log[8]^2 - 4*x^4*Log[8]^2 + 4*x^4*Log[8]^4 - 2*x^5*Log[8]^4","B",1
2266,1,22,23,0.0049971,"\int \frac{3 x^2+\log (3) \left(-x^2-16 \log ^4\left(\frac{125}{3}\right)\right)}{x^2 \log (3)} \, dx","Integrate[(3*x^2 + Log[3]*(-x^2 - 16*Log[125/3]^4))/(x^2*Log[3]),x]","-x+\frac{16 \log ^4\left(\frac{125}{3}\right)}{x}+\frac{3 x}{\log (3)}","-x+\frac{16 \log ^4\left(\frac{125}{3}\right)}{x}+\frac{3 x}{\log (3)}-3",1,"-x + (3*x)/Log[3] + (16*Log[125/3]^4)/x","A",1
2267,1,25,28,0.1642255,"\int \frac{32 x+60 x^2-8 x^3+e^4 \left(16 x+32 x^2\right)+\left(34+34 x^2+e^4 \left(16+16 x^2\right)\right) \log \left(1+x^2\right)}{64-16 x+65 x^2-16 x^3+x^4+e^8 \left(16+16 x^2\right)+e^4 \left(64-8 x+64 x^2-8 x^3\right)} \, dx","Integrate[(32*x + 60*x^2 - 8*x^3 + E^4*(16*x + 32*x^2) + (34 + 34*x^2 + E^4*(16 + 16*x^2))*Log[1 + x^2])/(64 - 16*x + 65*x^2 - 16*x^3 + x^4 + E^8*(16 + 16*x^2) + E^4*(64 - 8*x + 64*x^2 - 8*x^3)),x]","\frac{2 (2 x+1) \log \left(x^2+1\right)}{-x+4 e^4+8}","\frac{\left(\frac{2}{x}+4\right) x \log \left(x^2+1\right)}{4 \left(2+e^4\right)-x}",1,"(2*(1 + 2*x)*Log[1 + x^2])/(8 + 4*E^4 - x)","A",1
2268,1,23,27,0.1342909,"\int \frac{e^4 \left(30+10 e^3\right)+e^4 \left(-30-10 e^3\right) \log (x)-50 e^4 \log ^2(x)}{63 x^2+42 e^3 x^2+7 e^6 x^2+\left(210 x^2+70 e^3 x^2\right) \log (x)+175 x^2 \log ^2(x)} \, dx","Integrate[(E^4*(30 + 10*E^3) + E^4*(-30 - 10*E^3)*Log[x] - 50*E^4*Log[x]^2)/(63*x^2 + 42*E^3*x^2 + 7*E^6*x^2 + (210*x^2 + 70*E^3*x^2)*Log[x] + 175*x^2*Log[x]^2),x]","\frac{10 e^4 \log (x)}{7 x \left(5 \log (x)+e^3+3\right)}","\frac{2 e^4}{7 x \left(\frac{3+e^3}{5 \log (x)}+1\right)}",1,"(10*E^4*Log[x])/(7*x*(3 + E^3 + 5*Log[x]))","A",1
2269,1,18,15,0.0041428,"\int \frac{x^3+(-24+3 x) \log (\log (2))}{x^3} \, dx","Integrate[(x^3 + (-24 + 3*x)*Log[Log[2]])/x^3,x]","\frac{12 \log (\log (2))}{x^2}+x-\frac{3 \log (\log (2))}{x}","-\frac{3 (x-4) \log (\log (2))}{x^2}+x+e-7",1,"x + (12*Log[Log[2]])/x^2 - (3*Log[Log[2]])/x","A",1
2270,1,12,22,0.002617,"\int \frac{6-2 x^2 \log ^3(x)}{x \log ^3(x)} \, dx","Integrate[(6 - 2*x^2*Log[x]^3)/(x*Log[x]^3),x]","-x^2-\frac{3}{\log ^2(x)}","-x^2-\frac{3}{\log ^2(x)}-\left(e^3-4\right)^2-9",1,"-x^2 - 3/Log[x]^2","A",1
2271,1,15,17,0.3038208,"\int \frac{x^2+\left(6 x+2 x^2\right) \log (3+x)}{\left(30+10 x+\left(3 x^2+x^3\right) \log (3+x)\right) \log \left(\frac{1}{5} \left(10+x^2 \log (3+x)\right)\right)} \, dx","Integrate[(x^2 + (6*x + 2*x^2)*Log[3 + x])/((30 + 10*x + (3*x^2 + x^3)*Log[3 + x])*Log[(10 + x^2*Log[3 + x])/5]),x]","\log \left(\log \left(\frac{1}{5} x^2 \log (x+3)+2\right)\right)","\log \left(\log \left(\frac{1}{5} x^2 \log (x+3)+2\right)\right)+5",1,"Log[Log[2 + (x^2*Log[3 + x])/5]]","A",1
2272,1,22,24,0.2103294,"\int \frac{3-x-3 e^2 x-2 x^2-3 \log (x)}{4 x^4+\left(-12 x^2+4 x^3+12 e^2 x^3\right) \log (x)+\left(9-6 x+x^2+9 e^4 x^2+e^2 \left(-18 x+6 x^2\right)\right) \log ^2(x)} \, dx","Integrate[(3 - x - 3*E^2*x - 2*x^2 - 3*Log[x])/(4*x^4 + (-12*x^2 + 4*x^3 + 12*E^2*x^3)*Log[x] + (9 - 6*x + x^2 + 9*E^4*x^2 + E^2*(-18*x + 6*x^2))*Log[x]^2),x]","\frac{x}{2 x^2+\left(3 e^2 x+x-3\right) \log (x)}","\frac{1}{2 x-\frac{\left(-3 e^2 x-x+3\right) \log (x)}{x}}",1,"x/(2*x^2 + (-3 + x + 3*E^2*x)*Log[x])","A",1
2273,1,39,27,0.0210043,"\int \frac{64-48 x-84 x^2+23 x^3+42 x^4-24 x^5-8 x^6}{64 x-112 x^2-36 x^3+143 x^4-8 x^5-60 x^6+4 x^7+8 x^8} \, dx","Integrate[(64 - 48*x - 84*x^2 + 23*x^3 + 42*x^4 - 24*x^5 - 8*x^6)/(64*x - 112*x^2 - 36*x^3 + 143*x^4 - 8*x^5 - 60*x^6 + 4*x^7 + 8*x^8),x]","2 \log \left(-2 x^2-x+4\right)-\log \left(-4 x^5+22 x^3-7 x^2-24 x+16\right)+\log (x)","4-\log \left(\frac{3 x^2}{\left(-2 x^2-x+4\right)^2}+\frac{1}{x}-1\right)",1,"Log[x] + 2*Log[4 - x - 2*x^2] - Log[16 - 24*x - 7*x^2 + 22*x^3 - 4*x^5]","A",1
2274,1,23,29,0.0172889,"\int \frac{-512+1568 x+1630 x^2+622 x^3+110 x^4+8 x^5}{256 x+224 x^2+81 x^3+14 x^4+x^5} \, dx","Integrate[(-512 + 1568*x + 1630*x^2 + 622*x^3 + 110*x^4 + 8*x^5)/(256*x + 224*x^2 + 81*x^3 + 14*x^4 + x^5),x]","2 \left(-\frac{x}{x^2+7 x+16}+4 x-\log (x)\right)","2 \left(4 x+\log \left(\frac{e^{\frac{x}{x-(x+4)^2}}}{4 x}\right)\right)",1,"2*(4*x - x/(16 + 7*x + x^2) - Log[x])","A",1
2275,1,34,31,0.6420049,"\int \frac{-384+(-384+3 x) \log \left(\frac{16 x}{-128+x}\right)+e^{16/x} (2048-16 x) \log ^2\left(\frac{16 x}{-128+x}\right)}{-1152+9 x+e^{16/x} \left(768 x-6 x^2\right) \log \left(\frac{16 x}{-128+x}\right)+e^{32/x} \left(-128 x^2+x^3\right) \log ^2\left(\frac{16 x}{-128+x}\right)} \, dx","Integrate[(-384 + (-384 + 3*x)*Log[(16*x)/(-128 + x)] + E^(16/x)*(2048 - 16*x)*Log[(16*x)/(-128 + x)]^2)/(-1152 + 9*x + E^(16/x)*(768*x - 6*x^2)*Log[(16*x)/(-128 + x)] + E^(32/x)*(-128*x^2 + x^3)*Log[(16*x)/(-128 + x)]^2),x]","-\frac{x \log \left(\frac{16 x}{x-128}\right)}{e^{16/x} x \log \left(\frac{16 x}{x-128}\right)-3}","\frac{x}{\frac{3}{\log \left(\frac{x}{\frac{x}{16}-8}\right)}-e^{16/x} x}",1,"-((x*Log[(16*x)/(-128 + x)])/(-3 + E^(16/x)*x*Log[(16*x)/(-128 + x)]))","A",1
2276,1,28,26,0.1940294,"\int \frac{288 x^2+56 x^3+\left(-864 x^2-112 x^3\right) \log (x)+\left(-2592-1008 x-98 x^2\right) \log ^2(x)}{16 x^6+\left(288 x^4+56 x^5\right) \log (x)+\left(1296 x^2+504 x^3+49 x^4\right) \log ^2(x)} \, dx","Integrate[(288*x^2 + 56*x^3 + (-864*x^2 - 112*x^3)*Log[x] + (-2592 - 1008*x - 98*x^2)*Log[x]^2)/(16*x^6 + (288*x^4 + 56*x^5)*Log[x] + (1296*x^2 + 504*x^3 + 49*x^4)*Log[x]^2),x]","-2 \left(\frac{4 x}{4 x^2+7 x \log (x)+36 \log (x)}-\frac{1}{x}\right)","\frac{2}{x \left(\frac{x^2}{\left(\frac{7 x}{4}+9\right) \log (x)}+1\right)}",1,"-2*(-x^(-1) + (4*x)/(4*x^2 + 36*Log[x] + 7*x*Log[x]))","A",1
2277,1,25,28,0.3095216,"\int \frac{8 x-16 x^3-16 x^4+e^8 \left(-48 x^3-48 x^4\right)+e^{12} \left(16 x^3+16 x^4\right)+e^4 \left(-8 x+48 x^3+48 x^4\right)+\left(-4+24 x^2+16 x^3-8 x^4+e^8 \left(24 x^2-24 x^4\right)+e^{12} \left(8 x^3+8 x^4\right)+e^4 \left(-48 x^2-24 x^3+24 x^4\right)\right) \log (x)+\left(-12 x+12 x^3+e^4 \left(12 x-12 x^2-24 x^3\right)+e^8 \left(12 x^2+12 x^3\right)\right) \log ^2(x)+\left(2-4 x-6 x^2+e^4 \left(6 x+6 x^2\right)\right) \log ^3(x)+(1+x) \log ^4(x)+\left(16-32 x+32 e^4 x+\left(8-16 x+16 e^4 x\right) \log (x)\right) \log (2+\log (x))}{-16 x^4+48 e^4 x^4-48 e^8 x^4+16 e^{12} x^4+\left(24 x^3-8 x^4+8 e^{12} x^4+e^8 \left(24 x^3-24 x^4\right)+e^4 \left(-48 x^3+24 x^4\right)\right) \log (x)+\left(-12 x^2+12 x^3+12 e^8 x^3+e^4 \left(12 x^2-24 x^3\right)\right) \log ^2(x)+\left(2 x-6 x^2+6 e^4 x^2\right) \log ^3(x)+x \log ^4(x)} \, dx","Integrate[(8*x - 16*x^3 - 16*x^4 + E^8*(-48*x^3 - 48*x^4) + E^12*(16*x^3 + 16*x^4) + E^4*(-8*x + 48*x^3 + 48*x^4) + (-4 + 24*x^2 + 16*x^3 - 8*x^4 + E^8*(24*x^2 - 24*x^4) + E^12*(8*x^3 + 8*x^4) + E^4*(-48*x^2 - 24*x^3 + 24*x^4))*Log[x] + (-12*x + 12*x^3 + E^4*(12*x - 12*x^2 - 24*x^3) + E^8*(12*x^2 + 12*x^3))*Log[x]^2 + (2 - 4*x - 6*x^2 + E^4*(6*x + 6*x^2))*Log[x]^3 + (1 + x)*Log[x]^4 + (16 - 32*x + 32*E^4*x + (8 - 16*x + 16*E^4*x)*Log[x])*Log[2 + Log[x]])/(-16*x^4 + 48*E^4*x^4 - 48*E^8*x^4 + 16*E^12*x^4 + (24*x^3 - 8*x^4 + 8*E^12*x^4 + E^8*(24*x^3 - 24*x^4) + E^4*(-48*x^3 + 24*x^4))*Log[x] + (-12*x^2 + 12*x^3 + 12*E^8*x^3 + E^4*(12*x^2 - 24*x^3))*Log[x]^2 + (2*x - 6*x^2 + 6*E^4*x^2)*Log[x]^3 + x*Log[x]^4),x]","x+\log (x)-\frac{4 \log (\log (x)+2)}{\left(2 e^4 x-2 x+\log (x)\right)^2}","x+\log (x)-\frac{\log (\log (x)+2)}{\left(e^4 x-x+\frac{\log (x)}{2}\right)^2}",1,"x + Log[x] - (4*Log[2 + Log[x]])/(-2*x + 2*E^4*x + Log[x])^2","A",1
2278,1,23,21,0.2047501,"\int \frac{20 e^{2 x} x+4 x^2+\left(8+5 e^{2 x}+x^2\right) \log \left(\frac{1}{5} \left(8+5 e^{2 x}+x^2\right)\right)}{\left(8 x+5 e^{2 x} x+x^3\right) \log \left(\frac{1}{5} \left(8+5 e^{2 x}+x^2\right)\right)} \, dx","Integrate[(20*E^(2*x)*x + 4*x^2 + (8 + 5*E^(2*x) + x^2)*Log[(8 + 5*E^(2*x) + x^2)/5])/((8*x + 5*E^(2*x)*x + x^3)*Log[(8 + 5*E^(2*x) + x^2)/5]),x]","2 \log \left(\log \left(\frac{1}{5} \left(x^2+5 e^{2 x}+8\right)\right)\right)+\log (x)","\log \left(x \log ^2\left(\frac{1}{5} \left(x^2+8\right)+e^{2 x}\right)\right)",1,"Log[x] + 2*Log[Log[(8 + 5*E^(2*x) + x^2)/5]]","A",1
2279,1,17,17,0.5331359,"\int e^{-405 e^{e^{e^{-4 x} x}}-3 x} \left(e^{4 x}+e^{e^{e^{-4 x} x}+e^{-4 x} x} (-405+1620 x)\right) \, dx","Integrate[E^(-405*E^E^(x/E^(4*x)) - 3*x)*(E^(4*x) + E^(E^(x/E^(4*x)) + x/E^(4*x))*(-405 + 1620*x)),x]","e^{x-405 e^{e^{e^{-4 x} x}}}","e^{x-405 e^{e^{e^{-4 x} x}}}",1,"E^(-405*E^E^(x/E^(4*x)) + x)","A",1
2280,1,29,27,0.0099752,"\int \frac{97-25 x-18 x^2+50 x^3}{e \left(-54+1350 x-11250 x^2+31250 x^3\right)} \, dx","Integrate[(97 - 25*x - 18*x^2 + 50*x^3)/(E*(-54 + 1350*x - 11250*x^2 + 31250*x^3)),x]","\frac{31250 x^3-11250 x^2+18325 x-31412}{31250 e (3-25 x)^2}","\frac{\frac{x-2}{2 x^2}+x}{e \left(\frac{3}{x}-25\right)^2}+3",1,"(-31412 + 18325*x - 11250*x^2 + 31250*x^3)/(31250*E*(3 - 25*x)^2)","A",1
2281,1,19,19,0.0189276,"\int \frac{2 x^3+81 e^{1+25 \log ^2(x)} (-1+50 \log (x))}{x^2} \, dx","Integrate[(2*x^3 + 81*E^(1 + 25*Log[x]^2)*(-1 + 50*Log[x]))/x^2,x]","x^2+\frac{81 e^{25 \log ^2(x)+1}}{x}","x^2+\frac{81 e^{25 \log ^2(x)+1}}{x}",1,"(81*E^(1 + 25*Log[x]^2))/x + x^2","A",1
2282,1,30,29,0.0134192,"\int \frac{-15 x^2+6 x^3+3 x^2 \log (3)+\left(-5+3 x^2+\log (3)\right) \log (5)+\log ^2(5)}{6 x^2} \, dx","Integrate[(-15*x^2 + 6*x^3 + 3*x^2*Log[3] + (-5 + 3*x^2 + Log[3])*Log[5] + Log[5]^2)/(6*x^2),x]","\frac{x^2}{2}+\frac{1}{2} x (\log (15)-5)-\frac{\log (5) (\log (15)-5)}{6 x}","\frac{\left(x-\frac{\log (5)}{3 x}\right) (x+x (x-6+\log (5)+\log (3)))}{2 x}",1,"x^2/2 + (x*(-5 + Log[15]))/2 - (Log[5]*(-5 + Log[15]))/(6*x)","A",1
2283,1,26,26,0.3173856,"\int \frac{e^{-1/x} \left(18 e^x x+18 x^2+216 e^{\frac{1}{x}} x^2+\left(9 x+9 x^2+108 e^{\frac{1}{x}} x^2+e^x \left(9+9 x^2\right)\right) \log \left(x^2\right)\right)}{x^2} \, dx","Integrate[(18*E^x*x + 18*x^2 + 216*E^x^(-1)*x^2 + (9*x + 9*x^2 + 108*E^x^(-1)*x^2 + E^x*(9 + 9*x^2))*Log[x^2])/(E^x^(-1)*x^2),x]","9 e^{-1/x} \left(12 e^{\frac{1}{x}} x+x+e^x\right) \log \left(x^2\right)","36 \left(3 x+\frac{1}{4} e^{-1/x} \left(x+e^x\right)\right) \log \left(x^2\right)",1,"(9*(E^x + x + 12*E^x^(-1)*x)*Log[x^2])/E^x^(-1)","A",1
2284,1,21,21,0.6305724,"\int \exp \left(-1+\frac{-4 e x+e^2 x^2+e^{2-x} \left(4 x^2+x^3\right)}{e}\right) \left(-4 e+2 e^2 x+e^{2-x} \left(8 x-x^2-x^3\right)\right) \, dx","Integrate[E^(-1 + (-4*E*x + E^2*x^2 + E^(2 - x)*(4*x^2 + x^3))/E)*(-4*E + 2*E^2*x + E^(2 - x)*(8*x - x^2 - x^3)),x]","e^{x \left(e^{1-x} (x+4) x+e x-4\right)}","e^{x \left(e^{1-x} x \left(x+e^x+4\right)-4\right)}",1,"E^(x*(-4 + E*x + E^(1 - x)*x*(4 + x)))","A",1
2285,1,1272,39,0.8799167,"\int \frac{3200000+157920000 x-8016000 x^2-50474400 x^3+3458500 x^4+5861095 x^5-382279 x^6-327075 x^7+16455 x^8+9020 x^9-250 x^{10}-100 x^{11}+\left(16000000+793600000 x+158320000 x^2-212152000 x^3-35721500 x^4+20295420 x^5+3157836 x^6-843100 x^7-128320 x^8+13000 x^9+2000 x^{10}\right) \log (2)+\left(36000000+1793600000 x+755020000 x^2-297522000 x^3-141278375 x^4+12506655 x^5+8945779 x^6+142825 x^7-200080 x^8-12750 x^9+500 x^{10}\right) \log ^2(2)+\left(48000000+2400800000 x+1473960000 x^2-87026000 x^3-189454000 x^4-19666000 x^5+6379600 x^6+1104800 x^7-20000 x^8-8000 x^9\right) \log ^3(2)+\left(42000000+2107700000 x+1641415000 x^2+218779750 x^3-110363750 x^4-31152250 x^5-132150 x^6+590100 x^7+37500 x^8-1000 x^9\right) \log ^4(2)+\left(25200000+1268120000 x+1161199000 x^2+303876600 x^3-12267000 x^4-16160200 x^5-1834080 x^6+46000 x^7+12000 x^8\right) \log ^5(2)+\left(10500000+529550000 x+542741250 x^2+190450250 x^3+20061750 x^4-2765350 x^5-724040 x^6-33500 x^7+1000 x^8\right) \log ^6(2)+\left(3000000+151550000 x+167710000 x^2+68994000 x^3+12198000 x^4+560000 x^5-84000 x^6-8000 x^7\right) \log ^7(2)+\left(562500+28446875 x+33026875 x^2+14815125 x^3+3162375 x^4+305000 x^5+6750 x^6-500 x^7\right) \log ^8(2)+\left(62500+3162500 x+3757500 x^2+1750500 x^3+400000 x^4+45000 x^5+2000 x^6\right) \log ^9(2)+\left(3125+158125 x+187875 x^2+87525 x^3+20000 x^4+2250 x^5+100 x^6\right) \log ^{10}(2)}{3200000-2080000 x-16000 x^2+245600 x^3-29500 x^4-9625 x^5+1625 x^6+125 x^7-25 x^8+\left(16000000-6400000 x-1680000 x^2+808000 x^3+54500 x^4-34500 x^5-500 x^6+500 x^7\right) \log (2)+\left(36000000-6400000 x-4980000 x^2+678000 x^3+241625 x^4-20625 x^5-4125 x^6+125 x^7\right) \log ^2(2)+\left(48000000+800000 x-6040000 x^2-226000 x^3+226000 x^4+10000 x^5-2000 x^6\right) \log ^3(2)+\left(42000000+7700000 x-3585000 x^2-670250 x^3+66250 x^4+11250 x^5-250 x^6\right) \log ^4(2)+\left(25200000+8120000 x-801000 x^2-413400 x^3-11000 x^4+3000 x^5\right) \log ^5(2)+\left(10500000+4550000 x+241250 x^2-107250 x^3-10250 x^4+250 x^5\right) \log ^6(2)+\left(3000000+1550000 x+210000 x^2-6000 x^3-2000 x^4\right) \log ^7(2)+\left(562500+321875 x+58125 x^2+2625 x^3-125 x^4\right) \log ^8(2)+\left(62500+37500 x+7500 x^2+500 x^3\right) \log ^9(2)+\left(3125+1875 x+375 x^2+25 x^3\right) \log ^{10}(2)} \, dx","Integrate[(3200000 + 157920000*x - 8016000*x^2 - 50474400*x^3 + 3458500*x^4 + 5861095*x^5 - 382279*x^6 - 327075*x^7 + 16455*x^8 + 9020*x^9 - 250*x^10 - 100*x^11 + (16000000 + 793600000*x + 158320000*x^2 - 212152000*x^3 - 35721500*x^4 + 20295420*x^5 + 3157836*x^6 - 843100*x^7 - 128320*x^8 + 13000*x^9 + 2000*x^10)*Log[2] + (36000000 + 1793600000*x + 755020000*x^2 - 297522000*x^3 - 141278375*x^4 + 12506655*x^5 + 8945779*x^6 + 142825*x^7 - 200080*x^8 - 12750*x^9 + 500*x^10)*Log[2]^2 + (48000000 + 2400800000*x + 1473960000*x^2 - 87026000*x^3 - 189454000*x^4 - 19666000*x^5 + 6379600*x^6 + 1104800*x^7 - 20000*x^8 - 8000*x^9)*Log[2]^3 + (42000000 + 2107700000*x + 1641415000*x^2 + 218779750*x^3 - 110363750*x^4 - 31152250*x^5 - 132150*x^6 + 590100*x^7 + 37500*x^8 - 1000*x^9)*Log[2]^4 + (25200000 + 1268120000*x + 1161199000*x^2 + 303876600*x^3 - 12267000*x^4 - 16160200*x^5 - 1834080*x^6 + 46000*x^7 + 12000*x^8)*Log[2]^5 + (10500000 + 529550000*x + 542741250*x^2 + 190450250*x^3 + 20061750*x^4 - 2765350*x^5 - 724040*x^6 - 33500*x^7 + 1000*x^8)*Log[2]^6 + (3000000 + 151550000*x + 167710000*x^2 + 68994000*x^3 + 12198000*x^4 + 560000*x^5 - 84000*x^6 - 8000*x^7)*Log[2]^7 + (562500 + 28446875*x + 33026875*x^2 + 14815125*x^3 + 3162375*x^4 + 305000*x^5 + 6750*x^6 - 500*x^7)*Log[2]^8 + (62500 + 3162500*x + 3757500*x^2 + 1750500*x^3 + 400000*x^4 + 45000*x^5 + 2000*x^6)*Log[2]^9 + (3125 + 158125*x + 187875*x^2 + 87525*x^3 + 20000*x^4 + 2250*x^5 + 100*x^6)*Log[2]^10)/(3200000 - 2080000*x - 16000*x^2 + 245600*x^3 - 29500*x^4 - 9625*x^5 + 1625*x^6 + 125*x^7 - 25*x^8 + (16000000 - 6400000*x - 1680000*x^2 + 808000*x^3 + 54500*x^4 - 34500*x^5 - 500*x^6 + 500*x^7)*Log[2] + (36000000 - 6400000*x - 4980000*x^2 + 678000*x^3 + 241625*x^4 - 20625*x^5 - 4125*x^6 + 125*x^7)*Log[2]^2 + (48000000 + 800000*x - 6040000*x^2 - 226000*x^3 + 226000*x^4 + 10000*x^5 - 2000*x^6)*Log[2]^3 + (42000000 + 7700000*x - 3585000*x^2 - 670250*x^3 + 66250*x^4 + 11250*x^5 - 250*x^6)*Log[2]^4 + (25200000 + 8120000*x - 801000*x^2 - 413400*x^3 - 11000*x^4 + 3000*x^5)*Log[2]^5 + (10500000 + 4550000*x + 241250*x^2 - 107250*x^3 - 10250*x^4 + 250*x^5)*Log[2]^6 + (3000000 + 1550000*x + 210000*x^2 - 6000*x^3 - 2000*x^4)*Log[2]^7 + (562500 + 321875*x + 58125*x^2 + 2625*x^3 - 125*x^4)*Log[2]^8 + (62500 + 37500*x + 7500*x^2 + 500*x^3)*Log[2]^9 + (3125 + 1875*x + 375*x^2 + 25*x^3)*Log[2]^10),x]","\frac{1}{25} \left(25 (x+5)^4-250 (x+5)^3+5 \left(123+1000 \log ^3(2)-125 \log ^2(2) (-32+\log (256))+125 \log (256)-500 \log (2) (2+\log (256))\right) (x+5)^2+5 \left(9+6000 \log ^5(2)+\log (2) (35984-4000 \log (256))-750 \log ^4(2) (-64+\log (256))-4500 \log (256)-2000 \log ^3(2) (-52+3 \log (256))-4 \log ^2(2) (-7999+3250 \log (256))\right) (x+5)-\frac{149250816-189000 \log ^{21}(2)+23625 \log ^{20}(2) (-320+\log (256))+1377219520500 \log (256)+15000 \log ^{19}(2) (-9956+63 \log (256))+2160 \log ^{17}(2) (-8428729+111625 \log (256))+10 \log ^{18}(2) (-192887999+1866750 \log (256))+160 \log ^{15}(2) (-4875830542+103985775 \log (256))+5 \log ^{16}(2) (-26620357126+455151375 \log (256))+56 \log ^{13}(2) (-266638272293+8360730000 \log (256))+1536 \log ^2(2) (-68761673581+31044389375 \log (256))+\log ^{14}(2) (-3745606427906+97516620000 \log (256))+96 \log (2) (-114758597503+137526942500 \log (256))+1008 \log ^6(2) (-1526489454811+176222040000 \log (256))+32 \log ^{11}(2) (-4362505361801+194596858125 \log (256))+4 \log ^{12}(2) (-12454193899711+466617099375 \log (256))+144 \log ^3(2) (-2649085199408+730362938125 \log (256))+112 \log ^5(2) (-11689969409567+1717306848000 \log (256))+16 \log ^7(2) (-88815685965221+8268795720000 \log (256))+\log ^{10}(2) (-328548217728871+17450031852000 \log (256))+6 \log ^4(2) (-140228528779024+27276741294375 \log (256))+\log ^9(2) (-647037976892684+41068562640000 \log (256))+\log ^8(2) (-1058403997515757+80879846760000 \log (256))}{\left(x-(2+\log (2))^2\right)^2 \left(9+\log ^2(2)+\log (16)\right)^5}-\frac{-73728-34000 \log ^{21}(2)+4250 \log ^{20}(2) (-320+\log (256))+233038666750 \log (256)+10000 \log ^{19}(2) (-2684+17 \log (256))+5000 \log ^{18}(2) (-69216+671 \log (256))+30000 \log ^{17}(2) (-108631+1442 \log (256))+24000 \log ^{15}(2) (-5781740+123731 \log (256))+750 \log ^{16}(2) (-31675136+543155 \log (256))+9472 \log ^2(2) (-1884072346+852161875 \log (256))+2 \log ^{14}(2) (-331811520001+8672610000 \log (256))+8 \log ^{13}(2) (-329263766257+10369110000 \log (256))+1536 \log ^7(2) (-158704085737+14839323125 \log (256))+1536 \log ^6(2) (-171164069386+19838010625 \log (256))+16 \log ^{11}(2) (-1524742681379+68341169375 \log (256))+64 \log ^9(2) (-1749810909777+111596231875 \log (256))+16 \log (2) (-116519363071+139421342500 \log (256))+96 \log ^8(2) (-1899433364829+145817575625 \log (256))+16 \log ^{10}(2) (-3571079422167+190592835125 \log (256))+\log ^{12}(2) (-8747669680738+329263766250 \log (256))+8 \log ^3(2) (-8071677607168+2231255214375 \log (256))+8 \log ^5(2) (-27864031277351+4107937632000 \log (256))+\log ^4(2) (-142800337037248+27864030894375 \log (256))}{2 \left(x-(2+\log (2))^2\right)^4 \left(9+\log ^2(2)+\log (16)\right)^3}+\frac{2 \left(635904+133000 \log ^{21}(2)+\log ^8(2) (724218502907652-55520407920000 \log (256))+\log ^9(2) (444163263880884-28284058080000 \log (256))+\log ^{10}(2) (226272464756121-12056982344000 \log (256))+\log (2) (7440988091328-8904288160000 \log (256))+\log ^{11}(2) (96455858771272-4316127320000 \log (256))+\log ^{12}(2) (34529018562259-1297536345000 \log (256))+\log ^{14}(2) (2611015680006-68144640000 \log (256))-16625 \log ^{20}(2) (-320+\log (256))-930123051000 \log (256)-5000 \log ^{19}(2) (-21006+133 \log (256))-3750 \log ^{18}(2) (-361376+3501 \log (256))-15000 \log ^{17}(2) (-851504+11293 \log (256))-768000 \log ^{15}(2) (-709840+15171 \log (256))-6000 \log ^{16}(2) (-15535104+266095 \log (256))-168 \log ^{13}(2) (-61787445001+1942720000 \log (256))-256 \log ^2(2) (-278259043661+125802197500 \log (256))-672 \log ^6(2) (-1557438222589+180314520000 \log (256))-192 \log ^7(2) (-5048806584753+471496420000 \log (256))-96 \log ^5(2) (-9251975900289+1362758432000 \log (256))-32 \log ^3(2) (-8051341151776+2224281774375 \log (256))-12 \log ^4(2) (-47451346076512+9251975738125 \log (256))\right)}{3 \left(x-(2+\log (2))^2\right)^3 \left(9+\log ^2(2)+\log (16)\right)^4}+\frac{2 \left(105000 \log ^{21}(2)+\log ^4(2) (509505917395848-98362046137500 \log (256))+\log ^7(2) (840695768299472-77659718400000 \log (256))+\log ^8(2) (621273003570269-47116825200000 \log (256))+\log ^9(2) (376932653146128-23752224800000 \log (256))+\log (2) (6609877814336-8077469600000 \log (256))+\log ^{11}(2) (80193792752104-3554974200000 \log (256))+\log ^{12}(2) (28439749586863-1059551325000 \log (256))+\log ^{14}(2) (2115639525302-54839025000 \log (256))+\log ^{18}(2) (1074599980-10381250 \log (256))-13125 \log ^{20}(2) (-320+\log (256))-25000 \log ^{19}(2) (-3322+21 \log (256))-1080 \log ^{17}(2) (-9414791+124375 \log (256))-480 \log ^{15}(2) (-913983438+19419125 \log (256))-15 \log ^{16}(2) (-4971295144+84733125 \log (256))-56 \log ^{13}(2) (-151364325331+4722412500 \log (256))-8 (84771504+103339429375 \log (256))-44 \log ^{10}(2) (-4318571213443+227823810000 \log (256))-32 \log ^2(2) (-2019041042701+908512300000 \log (256))-72 \log ^5(2) (-10928821828189+1592962560000 \log (256))-32 \log ^3(2) (-7267533124262+1990345134375 \log (256))-14 \log ^6(2) (-65537900426549+7506297600000 \log (256))\right)}{\left(x-(2+\log (2))^2\right) \left(9+\log ^2(2)+\log (16)\right)^6}-\frac{6250 \left(153+6250024 \log ^3(2)+3 \log ^4(2)+\log ^2(2) (25000092-781250 \log (256))+22 \log (256)-390625 \log ^2(256)\right)}{\left(9+\log ^2(2)+\log (16)\right)^6 (x+5)}+\frac{15625 \left(9+625004 \log (2)+\log ^2(2)-78125 \log (256)\right)}{\left(9+\log ^2(2)+\log (16)\right)^5 (x+5)^2}\right)","\left(\frac{x^2}{5}+x\right)^2 \left(\frac{x^2}{(x+5)^2 \left(x-(2+\log (2))^2\right)^2}-5\right)^2+x",1,"(-250*(5 + x)^3 + 25*(5 + x)^4 + (15625*(9 + 625004*Log[2] + Log[2]^2 - 78125*Log[256]))/((5 + x)^2*(9 + Log[2]^2 + Log[16])^5) - (6250*(153 + 6250024*Log[2]^3 + 3*Log[2]^4 + Log[2]^2*(25000092 - 781250*Log[256]) + 22*Log[256] - 390625*Log[256]^2))/((5 + x)*(9 + Log[2]^2 + Log[16])^6) + 5*(5 + x)^2*(123 + 1000*Log[2]^3 - 125*Log[2]^2*(-32 + Log[256]) + 125*Log[256] - 500*Log[2]*(2 + Log[256])) + 5*(5 + x)*(9 + 6000*Log[2]^5 + Log[2]*(35984 - 4000*Log[256]) - 750*Log[2]^4*(-64 + Log[256]) - 4500*Log[256] - 2000*Log[2]^3*(-52 + 3*Log[256]) - 4*Log[2]^2*(-7999 + 3250*Log[256])) + (2*(105000*Log[2]^21 + Log[2]^4*(509505917395848 - 98362046137500*Log[256]) + Log[2]^7*(840695768299472 - 77659718400000*Log[256]) + Log[2]^8*(621273003570269 - 47116825200000*Log[256]) + Log[2]^9*(376932653146128 - 23752224800000*Log[256]) + Log[2]*(6609877814336 - 8077469600000*Log[256]) + Log[2]^11*(80193792752104 - 3554974200000*Log[256]) + Log[2]^12*(28439749586863 - 1059551325000*Log[256]) + Log[2]^14*(2115639525302 - 54839025000*Log[256]) + Log[2]^18*(1074599980 - 10381250*Log[256]) - 13125*Log[2]^20*(-320 + Log[256]) - 25000*Log[2]^19*(-3322 + 21*Log[256]) - 1080*Log[2]^17*(-9414791 + 124375*Log[256]) - 480*Log[2]^15*(-913983438 + 19419125*Log[256]) - 15*Log[2]^16*(-4971295144 + 84733125*Log[256]) - 56*Log[2]^13*(-151364325331 + 4722412500*Log[256]) - 8*(84771504 + 103339429375*Log[256]) - 44*Log[2]^10*(-4318571213443 + 227823810000*Log[256]) - 32*Log[2]^2*(-2019041042701 + 908512300000*Log[256]) - 72*Log[2]^5*(-10928821828189 + 1592962560000*Log[256]) - 32*Log[2]^3*(-7267533124262 + 1990345134375*Log[256]) - 14*Log[2]^6*(-65537900426549 + 7506297600000*Log[256])))/((x - (2 + Log[2])^2)*(9 + Log[2]^2 + Log[16])^6) + (2*(635904 + 133000*Log[2]^21 + Log[2]^8*(724218502907652 - 55520407920000*Log[256]) + Log[2]^9*(444163263880884 - 28284058080000*Log[256]) + Log[2]^10*(226272464756121 - 12056982344000*Log[256]) + Log[2]*(7440988091328 - 8904288160000*Log[256]) + Log[2]^11*(96455858771272 - 4316127320000*Log[256]) + Log[2]^12*(34529018562259 - 1297536345000*Log[256]) + Log[2]^14*(2611015680006 - 68144640000*Log[256]) - 16625*Log[2]^20*(-320 + Log[256]) - 930123051000*Log[256] - 5000*Log[2]^19*(-21006 + 133*Log[256]) - 3750*Log[2]^18*(-361376 + 3501*Log[256]) - 15000*Log[2]^17*(-851504 + 11293*Log[256]) - 768000*Log[2]^15*(-709840 + 15171*Log[256]) - 6000*Log[2]^16*(-15535104 + 266095*Log[256]) - 168*Log[2]^13*(-61787445001 + 1942720000*Log[256]) - 256*Log[2]^2*(-278259043661 + 125802197500*Log[256]) - 672*Log[2]^6*(-1557438222589 + 180314520000*Log[256]) - 192*Log[2]^7*(-5048806584753 + 471496420000*Log[256]) - 96*Log[2]^5*(-9251975900289 + 1362758432000*Log[256]) - 32*Log[2]^3*(-8051341151776 + 2224281774375*Log[256]) - 12*Log[2]^4*(-47451346076512 + 9251975738125*Log[256])))/(3*(x - (2 + Log[2])^2)^3*(9 + Log[2]^2 + Log[16])^4) - (-73728 - 34000*Log[2]^21 + 4250*Log[2]^20*(-320 + Log[256]) + 233038666750*Log[256] + 10000*Log[2]^19*(-2684 + 17*Log[256]) + 5000*Log[2]^18*(-69216 + 671*Log[256]) + 30000*Log[2]^17*(-108631 + 1442*Log[256]) + 24000*Log[2]^15*(-5781740 + 123731*Log[256]) + 750*Log[2]^16*(-31675136 + 543155*Log[256]) + 9472*Log[2]^2*(-1884072346 + 852161875*Log[256]) + 2*Log[2]^14*(-331811520001 + 8672610000*Log[256]) + 8*Log[2]^13*(-329263766257 + 10369110000*Log[256]) + 1536*Log[2]^7*(-158704085737 + 14839323125*Log[256]) + 1536*Log[2]^6*(-171164069386 + 19838010625*Log[256]) + 16*Log[2]^11*(-1524742681379 + 68341169375*Log[256]) + 64*Log[2]^9*(-1749810909777 + 111596231875*Log[256]) + 16*Log[2]*(-116519363071 + 139421342500*Log[256]) + 96*Log[2]^8*(-1899433364829 + 145817575625*Log[256]) + 16*Log[2]^10*(-3571079422167 + 190592835125*Log[256]) + Log[2]^12*(-8747669680738 + 329263766250*Log[256]) + 8*Log[2]^3*(-8071677607168 + 2231255214375*Log[256]) + 8*Log[2]^5*(-27864031277351 + 4107937632000*Log[256]) + Log[2]^4*(-142800337037248 + 27864030894375*Log[256]))/(2*(x - (2 + Log[2])^2)^4*(9 + Log[2]^2 + Log[16])^3) - (149250816 - 189000*Log[2]^21 + 23625*Log[2]^20*(-320 + Log[256]) + 1377219520500*Log[256] + 15000*Log[2]^19*(-9956 + 63*Log[256]) + 2160*Log[2]^17*(-8428729 + 111625*Log[256]) + 10*Log[2]^18*(-192887999 + 1866750*Log[256]) + 160*Log[2]^15*(-4875830542 + 103985775*Log[256]) + 5*Log[2]^16*(-26620357126 + 455151375*Log[256]) + 56*Log[2]^13*(-266638272293 + 8360730000*Log[256]) + 1536*Log[2]^2*(-68761673581 + 31044389375*Log[256]) + Log[2]^14*(-3745606427906 + 97516620000*Log[256]) + 96*Log[2]*(-114758597503 + 137526942500*Log[256]) + 1008*Log[2]^6*(-1526489454811 + 176222040000*Log[256]) + 32*Log[2]^11*(-4362505361801 + 194596858125*Log[256]) + 4*Log[2]^12*(-12454193899711 + 466617099375*Log[256]) + 144*Log[2]^3*(-2649085199408 + 730362938125*Log[256]) + 112*Log[2]^5*(-11689969409567 + 1717306848000*Log[256]) + 16*Log[2]^7*(-88815685965221 + 8268795720000*Log[256]) + Log[2]^10*(-328548217728871 + 17450031852000*Log[256]) + 6*Log[2]^4*(-140228528779024 + 27276741294375*Log[256]) + Log[2]^9*(-647037976892684 + 41068562640000*Log[256]) + Log[2]^8*(-1058403997515757 + 80879846760000*Log[256]))/((x - (2 + Log[2])^2)^2*(9 + Log[2]^2 + Log[16])^5))/25","B",0
2286,1,38,30,0.1055308,"\int \frac{24-39 x+46 x^2-27 x^3+\left(-3+5 x-5 x^2+3 x^3\right) \log \left(\frac{3-2 x+3 x^2}{-3 x+3 x^2}\right)}{-9 x^2+15 x^3-15 x^4+9 x^5} \, dx","Integrate[(24 - 39*x + 46*x^2 - 27*x^3 + (-3 + 5*x - 5*x^2 + 3*x^3)*Log[(3 - 2*x + 3*x^2)/(-3*x + 3*x^2)])/(-9*x^2 + 15*x^3 - 15*x^4 + 9*x^5),x]","\frac{1}{3} \left(\frac{9}{x}-\frac{\log \left(\frac{3 x^2-2 x+3}{3 x^2-3 x}\right)}{x}\right)","\frac{3-\frac{1}{3} \log \left(1-\frac{x+3}{3 (1-x) x}\right)}{x}",1,"(9/x - Log[(3 - 2*x + 3*x^2)/(-3*x + 3*x^2)]/x)/3","A",1
2287,1,28,31,0.1335588,"\int \frac{-4 x+e^{\frac{-20-x-4 x^2+4 x^3}{4 x}} \left(20-4 x-4 x^2+8 x^3\right)+\left(-4 x-4 e^{\frac{-20-x-4 x^2+4 x^3}{4 x}} x\right) \log \left(1+e^{\frac{-20-x-4 x^2+4 x^3}{4 x}}\right)}{x^3+e^{\frac{-20-x-4 x^2+4 x^3}{4 x}} x^3} \, dx","Integrate[(-4*x + E^((-20 - x - 4*x^2 + 4*x^3)/(4*x))*(20 - 4*x - 4*x^2 + 8*x^3) + (-4*x - 4*E^((-20 - x - 4*x^2 + 4*x^3)/(4*x))*x)*Log[1 + E^((-20 - x - 4*x^2 + 4*x^3)/(4*x))])/(x^3 + E^((-20 - x - 4*x^2 + 4*x^3)/(4*x))*x^3),x]","\frac{4 \left(\log \left(e^{x^2-x-\frac{5}{x}-\frac{1}{4}}+1\right)+x+1\right)}{x}","\frac{4 \log \left(e^{x^2-x-\frac{5}{x}-\frac{1}{4}}+1\right)-x+4}{x}",1,"(4*(1 + x + Log[1 + E^(-1/4 - 5/x - x + x^2)]))/x","A",1
2288,1,9,9,0.0019261,"\int \frac{544}{3} e^{\frac{136 x^4}{3}} x^3 \, dx","Integrate[(544*E^((136*x^4)/3)*x^3)/3,x]","e^{\frac{136 x^4}{3}}","e^{\frac{136 x^4}{3}}",1,"E^((136*x^4)/3)","A",1
2289,1,35,22,0.0095482,"\int \frac{39-9 \log \left(4+e^2\right)}{169-78 e^2 x+9 e^4 x^2+\left(-78+18 e^2 x\right) \log \left(4+e^2\right)+9 \log ^2\left(4+e^2\right)} \, dx","Integrate[(39 - 9*Log[4 + E^2])/(169 - 78*E^2*x + 9*E^4*x^2 + (-78 + 18*E^2*x)*Log[4 + E^2] + 9*Log[4 + E^2]^2),x]","-\frac{39-9 \log \left(4+e^2\right)}{3 e^2 \left(3 e^2 x-13+3 \log \left(4+e^2\right)\right)}","\frac{x}{-e^2 x+\frac{13}{3}-\log \left(4+e^2\right)}",1,"-1/3*(39 - 9*Log[4 + E^2])/(E^2*(-13 + 3*E^2*x + 3*Log[4 + E^2]))","A",1
2290,1,21,22,0.4040345,"\int \frac{1}{2} \exp \left(6 x+e^{6 x} \left(e^{-6 x} (4-2 x)+x\right)\right) \left(-x-5 x^2+6 x^3+e^{-6 x} \left(-1+4 x-2 x^2\right)\right) \, dx","Integrate[(E^(6*x + E^(6*x)*((4 - 2*x)/E^(6*x) + x))*(-x - 5*x^2 + 6*x^3 + (-1 + 4*x - 2*x^2)/E^(6*x)))/2,x]","\frac{1}{2} e^{\left(e^{6 x}-2\right) x+4} (x-1) x","\frac{1}{2} e^{e^{6 x} x-2 x+4} (x-1) x",1,"(E^(4 + (-2 + E^(6*x))*x)*(-1 + x)*x)/2","A",1
2291,1,18,22,0.0385506,"\int \left(2+e^{-1+5 x-3 x^2} (-10+12 x)\right) \, dx","Integrate[2 + E^(-1 + 5*x - 3*x^2)*(-10 + 12*x),x]","2 x-2 e^{-3 x^2+5 x-1}","2 \left(x-e^{3 \left(x-x^2\right)+2 x-1}\right)",1,"-2*E^(-1 + 5*x - 3*x^2) + 2*x","A",1
2292,1,25,36,0.1244944,"\int \frac{-9+1048576 e^{5-5 e^x-5 x} \left(-1-5 x-5 e^x x\right)+\log (x)}{2 x^2} \, dx","Integrate[(-9 + 1048576*E^(5 - 5*E^x - 5*x)*(-1 - 5*x - 5*E^x*x) + Log[x])/(2*x^2),x]","\frac{1048576 e^{-5 \left(x+e^x-1\right)}-\log (x)+8}{2 x}","\frac{4}{x}+\frac{x+e^{5 \left(-x-e^x+\log (16)\right)+5}-\log (x)}{2 x}",1,"(8 + 1048576/E^(5*(-1 + E^x + x)) - Log[x])/(2*x)","A",1
2293,1,13,13,0.0065692,"\int \frac{17 e^{-2/x}+x^2}{x^2} \, dx","Integrate[(17/E^(2/x) + x^2)/x^2,x]","x+\frac{17 e^{-2/x}}{2}","x+\frac{17 e^{-2/x}}{2}",1,"17/(2*E^(2/x)) + x","A",1
2294,0,0,31,4.5684213,"\int \frac{e^x \left(3 x^2-6 x^3+3 x^4+\left(9 x-3 x^2-6 x^3\right) \log (2)+\left(-12+9 x+3 x^2\right) \log ^2(2)\right) \log \left(\frac{x-x^2+(4+x) \log (2)}{-x+\log (2)}\right)+\log ^{\frac{x}{3}}\left(\frac{x-x^2+(4+x) \log (2)}{-x+\log (2)}\right) \left(-x^5+\left(-5 x^3+2 x^4\right) \log (2)-x^3 \log ^2(2)+\left(x^4-x^5+\left(3 x^3+2 x^4\right) \log (2)+\left(-4 x^2-x^3\right) \log ^2(2)\right) \log \left(\frac{x-x^2+(4+x) \log (2)}{-x+\log (2)}\right) \log \left(\log \left(\frac{x-x^2+(4+x) \log (2)}{-x+\log (2)}\right)\right)\right)}{\left(-3 x^4+3 x^5+\left(-9 x^3-6 x^4\right) \log (2)+\left(12 x^2+3 x^3\right) \log ^2(2)\right) \log \left(\frac{x-x^2+(4+x) \log (2)}{-x+\log (2)}\right)} \, dx","Integrate[(E^x*(3*x^2 - 6*x^3 + 3*x^4 + (9*x - 3*x^2 - 6*x^3)*Log[2] + (-12 + 9*x + 3*x^2)*Log[2]^2)*Log[(x - x^2 + (4 + x)*Log[2])/(-x + Log[2])] + Log[(x - x^2 + (4 + x)*Log[2])/(-x + Log[2])]^(x/3)*(-x^5 + (-5*x^3 + 2*x^4)*Log[2] - x^3*Log[2]^2 + (x^4 - x^5 + (3*x^3 + 2*x^4)*Log[2] + (-4*x^2 - x^3)*Log[2]^2)*Log[(x - x^2 + (4 + x)*Log[2])/(-x + Log[2])]*Log[Log[(x - x^2 + (4 + x)*Log[2])/(-x + Log[2])]]))/((-3*x^4 + 3*x^5 + (-9*x^3 - 6*x^4)*Log[2] + (12*x^2 + 3*x^3)*Log[2]^2)*Log[(x - x^2 + (4 + x)*Log[2])/(-x + Log[2])]),x]","\int \frac{e^x \left(3 x^2-6 x^3+3 x^4+\left(9 x-3 x^2-6 x^3\right) \log (2)+\left(-12+9 x+3 x^2\right) \log ^2(2)\right) \log \left(\frac{x-x^2+(4+x) \log (2)}{-x+\log (2)}\right)+\log ^{\frac{x}{3}}\left(\frac{x-x^2+(4+x) \log (2)}{-x+\log (2)}\right) \left(-x^5+\left(-5 x^3+2 x^4\right) \log (2)-x^3 \log ^2(2)+\left(x^4-x^5+\left(3 x^3+2 x^4\right) \log (2)+\left(-4 x^2-x^3\right) \log ^2(2)\right) \log \left(\frac{x-x^2+(4+x) \log (2)}{-x+\log (2)}\right) \log \left(\log \left(\frac{x-x^2+(4+x) \log (2)}{-x+\log (2)}\right)\right)\right)}{\left(-3 x^4+3 x^5+\left(-9 x^3-6 x^4\right) \log (2)+\left(12 x^2+3 x^3\right) \log ^2(2)\right) \log \left(\frac{x-x^2+(4+x) \log (2)}{-x+\log (2)}\right)} \, dx","\frac{e^x}{x}-\log ^{\frac{x}{3}}\left(x-\frac{5 x}{x-\log (2)}+4\right)",1,"Integrate[(E^x*(3*x^2 - 6*x^3 + 3*x^4 + (9*x - 3*x^2 - 6*x^3)*Log[2] + (-12 + 9*x + 3*x^2)*Log[2]^2)*Log[(x - x^2 + (4 + x)*Log[2])/(-x + Log[2])] + Log[(x - x^2 + (4 + x)*Log[2])/(-x + Log[2])]^(x/3)*(-x^5 + (-5*x^3 + 2*x^4)*Log[2] - x^3*Log[2]^2 + (x^4 - x^5 + (3*x^3 + 2*x^4)*Log[2] + (-4*x^2 - x^3)*Log[2]^2)*Log[(x - x^2 + (4 + x)*Log[2])/(-x + Log[2])]*Log[Log[(x - x^2 + (4 + x)*Log[2])/(-x + Log[2])]]))/((-3*x^4 + 3*x^5 + (-9*x^3 - 6*x^4)*Log[2] + (12*x^2 + 3*x^3)*Log[2]^2)*Log[(x - x^2 + (4 + x)*Log[2])/(-x + Log[2])]), x]","F",-1
2295,1,41,24,0.0036476,"\int \frac{-360+8 x+e^4 \left(-1800-40 e^2+80 x\right)+e^8 \left(-200 e^2+200 x\right)}{75 e^8} \, dx","Integrate[(-360 + 8*x + E^4*(-1800 - 40*E^2 + 80*x) + E^8*(-200*E^2 + 200*x))/(75*E^8),x]","-\frac{8 \left(1+5 e^4\right) \left(-\frac{5}{2} e^4 x^2-\frac{x^2}{2}+5 e^6 x+45 x\right)}{75 e^8}","\frac{4}{3} \left(\frac{\frac{x}{5}-9}{e^4}+x-e^2\right)^2",1,"(-8*(1 + 5*E^4)*(45*x + 5*E^6*x - x^2/2 - (5*E^4*x^2)/2))/(75*E^8)","A",1
2296,1,22,27,0.0475259,"\int e^{-x} \left(-3+e^{\frac{1}{3} \left(59-42 x+15 x^2\right)} (-15+10 x)\right) \, dx","Integrate[(-3 + E^((59 - 42*x + 15*x^2)/3)*(-15 + 10*x))/E^x,x]","e^{5 x^2-15 x+\frac{59}{3}}+3 e^{-x}","e^{-x} \left(e^{x^2+4 (x-2)^2+2 x+\frac{11}{3}}+3\right)",1,"3/E^x + E^(59/3 - 15*x + 5*x^2)","A",1
2297,1,29,22,0.0050676,"\int \left(4+8 x+(18+8 x) \log (2)+(8+2 x) \log ^2(2)+(-4-2 \log (2)) \log (3)+(-4-2 \log (2)) \log (\log (3))\right) \, dx","Integrate[4 + 8*x + (18 + 8*x)*Log[2] + (8 + 2*x)*Log[2]^2 + (-4 - 2*Log[2])*Log[3] + (-4 - 2*Log[2])*Log[Log[3]],x]","2 (2+\log (2)) \left(x^2+\frac{1}{2} x^2 \log (2)+x+x \log \left(\frac{16}{\log (27)}\right)\right)","(2 x+(x+4) \log (2)+1-\log (\log (3))-\log (3))^2",1,"2*(2 + Log[2])*(x + x^2 + (x^2*Log[2])/2 + x*Log[16/Log[27]])","A",1
2298,1,8,10,0.0026708,"\int -\frac{5}{(-4+x) \log ^2(-4+x)} \, dx","Integrate[-5/((-4 + x)*Log[-4 + x]^2),x]","\frac{5}{\log (x-4)}","\frac{5}{\log (x-4)}-3",1,"5/Log[-4 + x]","A",1
2299,1,17,27,0.0037187,"\int \frac{-32-8 x+8 x^2+\left(32+8 x^2\right) \log (x)}{x^2} \, dx","Integrate[(-32 - 8*x + 8*x^2 + (32 + 8*x^2)*Log[x])/x^2,x]","8 x \log (x)-\frac{32 \log (x)}{x}-8 \log (x)","4 \left(-\frac{1}{2} \left(\frac{(x+4)^2}{x^2}+1\right) x+x+2 (x+1)\right) \log (x)",1,"-8*Log[x] - (32*Log[x])/x + 8*x*Log[x]","A",1
2300,1,30,24,0.0745156,"\int \frac{-2-3 e^3+e^x-4 x+\left(-8+2 e^x\right) \log \left(\frac{1}{3} \left(2+3 e^3-e^x+4 x\right)\right)}{12+e^3 (18-3 x)+e^x (-6+x)+22 x-4 x^2+\left(-2-3 e^3+e^x-4 x\right) \log ^2\left(\frac{1}{3} \left(2+3 e^3-e^x+4 x\right)\right)} \, dx","Integrate[(-2 - 3*E^3 + E^x - 4*x + (-8 + 2*E^x)*Log[(2 + 3*E^3 - E^x + 4*x)/3])/(12 + E^3*(18 - 3*x) + E^x*(-6 + x) + 22*x - 4*x^2 + (-2 - 3*E^3 + E^x - 4*x)*Log[(2 + 3*E^3 - E^x + 4*x)/3]^2),x]","\log \left(-x-\log ^2\left(\frac{1}{3} \left(4 x-e^x+3 e^3+2\right)\right)+6\right)","\log \left(x+\log ^2\left(x+\frac{1}{3} \left(x-e^x+2\right)+e^3\right)-6\right)",1,"Log[6 - x - Log[(2 + 3*E^3 - E^x + 4*x)/3]^2]","A",1
2301,1,20,23,0.0672737,"\int \frac{1}{25} e^{\frac{1}{25} \left(-150+125 x+64 x^2\right)} \left(125+575 x+515 x^2-128 x^3\right) \, dx","Integrate[(E^((-150 + 125*x + 64*x^2)/25)*(125 + 575*x + 515*x^2 - 128*x^3))/25,x]","-e^{\frac{64 x^2}{25}+5 x-6} (x-5) x","e^{4 \left(\frac{16 x^2}{25}+x\right)+x-6} (5-x) x",1,"-(E^(-6 + 5*x + (64*x^2)/25)*(-5 + x)*x)","A",1
2302,1,21,16,0.0055333,"\int \frac{e^4 \left(2 x+3 x^2\right)}{1+6 x+9 x^2} \, dx","Integrate[(E^4*(2*x + 3*x^2))/(1 + 6*x + 9*x^2),x]","\frac{e^4 \left(9 x^2+6 x+2\right)}{27 x+9}","e \left(\frac{e^3 x}{\frac{1}{x}+3}+3\right)",1,"(E^4*(2 + 6*x + 9*x^2))/(9 + 27*x)","A",1
2303,1,67,23,0.1581608,"\int \frac{-960 x+1152 x \log (150 x \log (5))+(592 x-960 x \log (150 x \log (5))) \log \left(\log ^2(150 x \log (5))\right)+(-120 x+296 x \log (150 x \log (5))) \log ^2\left(\log ^2(150 x \log (5))\right)+(8 x-40 x \log (150 x \log (5))) \log ^3\left(\log ^2(150 x \log (5))\right)+2 x \log (150 x \log (5)) \log ^4\left(\log ^2(150 x \log (5))\right)}{\log (150 x \log (5))} \, dx","Integrate[(-960*x + 1152*x*Log[150*x*Log[5]] + (592*x - 960*x*Log[150*x*Log[5]])*Log[Log[150*x*Log[5]]^2] + (-120*x + 296*x*Log[150*x*Log[5]])*Log[Log[150*x*Log[5]]^2]^2 + (8*x - 40*x*Log[150*x*Log[5]])*Log[Log[150*x*Log[5]]^2]^3 + 2*x*Log[150*x*Log[5]]*Log[Log[150*x*Log[5]]^2]^4)/Log[150*x*Log[5]],x]","576 x^2+148 x^2 \log ^2\left(\log ^2(150 x \log (5))\right)-480 x^2 \log \left(\log ^2(150 x \log (5))\right)+x^2 \log ^4\left(\log ^2(150 x \log (5))\right)-20 x^2 \log ^3\left(\log ^2(150 x \log (5))\right)","\left(x+x \left(\left(5-\log \left(\log ^2(150 x \log (5))\right)\right)^2-2\right)\right)^2",1,"576*x^2 - 480*x^2*Log[Log[150*x*Log[5]]^2] + 148*x^2*Log[Log[150*x*Log[5]]^2]^2 - 20*x^2*Log[Log[150*x*Log[5]]^2]^3 + x^2*Log[Log[150*x*Log[5]]^2]^4","B",1
2304,1,21,24,0.3300885,"\int \frac{e^x (1-x)+\left(-e^{-1+2 x} x+e^{-1+x} x^2\right) \log \left(\frac{x}{e^x-x}\right)}{\left(e^x x-x^2\right) \log \left(\frac{x}{e^x-x}\right)} \, dx","Integrate[(E^x*(1 - x) + (-(E^(-1 + 2*x)*x) + E^(-1 + x)*x^2)*Log[x/(E^x - x)])/((E^x*x - x^2)*Log[x/(E^x - x)]),x]","\log \left(\log \left(\frac{x}{e^x-x}\right)\right)-e^{x-1}","-e^{x-1}+\log \left(15 \log \left(\frac{x}{e^x-x}\right)\right)+2",1,"-E^(-1 + x) + Log[Log[x/(E^x - x)]]","A",1
2305,1,36,30,0.3330055,"\int \frac{\exp \left(\frac{2 \left(1-3 e^{-4+e^5-x}-3 x\right)}{e^{-4+e^5-x}+x}\right) \left(e^{-8+2 e^5-2 x} (-20-8 x)-40 x-28 x^2-8 e^{-4+e^5-x} x^2-8 x^3\right)}{25 x^4+10 x^5+x^6+e^{-8+2 e^5-2 x} \left(25 x^2+10 x^3+x^4\right)+e^{-4+e^5-x} \left(50 x^3+20 x^4+2 x^5\right)} \, dx","Integrate[(E^((2*(1 - 3*E^(-4 + E^5 - x) - 3*x))/(E^(-4 + E^5 - x) + x))*(E^(-8 + 2*E^5 - 2*x)*(-20 - 8*x) - 40*x - 28*x^2 - 8*E^(-4 + E^5 - x)*x^2 - 8*x^3))/(25*x^4 + 10*x^5 + x^6 + E^(-8 + 2*E^5 - 2*x)*(25*x^2 + 10*x^3 + x^4) + E^(-4 + E^5 - x)*(50*x^3 + 20*x^4 + 2*x^5)),x]","\frac{4 e^{\frac{2 e^{x+4}}{e^{x+4} x+e^{e^5}}-6}}{x (x+5)}","\frac{4 e^{\frac{2}{x+e^{-x+e^5-4}}-6}}{x (x+5)}",1,"(4*E^(-6 + (2*E^(4 + x))/(E^E^5 + E^(4 + x)*x)))/(x*(5 + x))","A",1
2306,1,83,23,0.0828577,"\int \frac{e^{16 x^8} (-839808-209952 x)+e^{16 x^8} \left(10917504 x^7+6718464 x^8+839808 x^9\right) \log \left(13+8 x+x^2\right)+e^{12 x^8} (279936+69984 x) \log ^4\left(13+8 x+x^2\right)+e^{12 x^8} \left(-3639168 x^7-2239488 x^8-279936 x^9\right) \log ^5\left(13+8 x+x^2\right)+e^{8 x^8} (-31104-7776 x) \log ^8\left(13+8 x+x^2\right)+e^{8 x^8} \left(404352 x^7+248832 x^8+31104 x^9\right) \log ^9\left(13+8 x+x^2\right)+e^{4 x^8} (1152+288 x) \log ^{12}\left(13+8 x+x^2\right)+e^{4 x^8} \left(-14976 x^7-9216 x^8-1152 x^9\right) \log ^{13}\left(13+8 x+x^2\right)}{\left(13+8 x+x^2\right) \log ^{17}\left(13+8 x+x^2\right)} \, dx","Integrate[(E^(16*x^8)*(-839808 - 209952*x) + E^(16*x^8)*(10917504*x^7 + 6718464*x^8 + 839808*x^9)*Log[13 + 8*x + x^2] + E^(12*x^8)*(279936 + 69984*x)*Log[13 + 8*x + x^2]^4 + E^(12*x^8)*(-3639168*x^7 - 2239488*x^8 - 279936*x^9)*Log[13 + 8*x + x^2]^5 + E^(8*x^8)*(-31104 - 7776*x)*Log[13 + 8*x + x^2]^8 + E^(8*x^8)*(404352*x^7 + 248832*x^8 + 31104*x^9)*Log[13 + 8*x + x^2]^9 + E^(4*x^8)*(1152 + 288*x)*Log[13 + 8*x + x^2]^12 + E^(4*x^8)*(-14976*x^7 - 9216*x^8 - 1152*x^9)*Log[13 + 8*x + x^2]^13)/((13 + 8*x + x^2)*Log[13 + 8*x + x^2]^17),x]","\frac{9 e^{4 x^8} \left(729 e^{12 x^8}-4 \log ^{12}\left(x^2+8 x+13\right)+54 e^{4 x^8} \log ^8\left(x^2+8 x+13\right)-324 e^{8 x^8} \log ^4\left(x^2+8 x+13\right)\right)}{\log ^{16}\left(x^2+8 x+13\right)}","\left(\frac{9 e^{4 x^8}}{\log ^4\left((x+4)^2-3\right)}-1\right)^4",1,"(9*E^(4*x^8)*(729*E^(12*x^8) - 324*E^(8*x^8)*Log[13 + 8*x + x^2]^4 + 54*E^(4*x^8)*Log[13 + 8*x + x^2]^8 - 4*Log[13 + 8*x + x^2]^12))/Log[13 + 8*x + x^2]^16","B",1
2307,1,21,21,0.0911963,"\int \frac{-2 e^x \log (-x) \log (x)+2 \log (-x) \log (x) \log (\log (x))+\left(-4 \log (-x)+4 e^x x \log (-x) \log (x)\right) \log \left(-e^x+\log (\log (x))\right)+\left(2 e^x \log (x)-2 \log (x) \log (\log (x))\right) \log ^2\left(-e^x+\log (\log (x))\right)+\left(4-4 e^x x \log (x)\right) \log ^3\left(-e^x+\log (\log (x))\right)}{-e^x x \log (x)+x \log (x) \log (\log (x))} \, dx","Integrate[(-2*E^x*Log[-x]*Log[x] + 2*Log[-x]*Log[x]*Log[Log[x]] + (-4*Log[-x] + 4*E^x*x*Log[-x]*Log[x])*Log[-E^x + Log[Log[x]]] + (2*E^x*Log[x] - 2*Log[x]*Log[Log[x]])*Log[-E^x + Log[Log[x]]]^2 + (4 - 4*E^x*x*Log[x])*Log[-E^x + Log[Log[x]]]^3)/(-(E^x*x*Log[x]) + x*Log[x]*Log[Log[x]]),x]","\left(\log ^2\left(\log (\log (x))-e^x\right)-\log (-x)\right)^2","\left(\log ^2\left(\log (\log (x))-e^x\right)-\log (-x)\right)^2",1,"(-Log[-x] + Log[-E^x + Log[Log[x]]]^2)^2","A",1
2308,1,14,13,0.2128479,"\int \frac{1-7 x+2 x^2}{\left(16 x-7 x^2+x^3+x \log (8 x)\right) \log \left(16-7 x+x^2+\log (8 x)\right)} \, dx","Integrate[(1 - 7*x + 2*x^2)/((16*x - 7*x^2 + x^3 + x*Log[8*x])*Log[16 - 7*x + x^2 + Log[8*x]]),x]","\log \left(\log \left(x^2-7 x+\log (8 x)+16\right)\right)","\log \left(\log \left((x-4)^2+x+\log (8 x)\right)\right)",1,"Log[Log[16 - 7*x + x^2 + Log[8*x]]]","A",1
2309,1,36,32,0.1311908,"\int \frac{x+e^x \left(1-55 x-73 x^2-36 x^3-24 x^4-6 x^5+e^2 \left(4 x^2+2 x^3\right)\right)+e^x x \log (x)}{x} \, dx","Integrate[(x + E^x*(1 - 55*x - 73*x^2 - 36*x^3 - 24*x^4 - 6*x^5 + E^2*(4*x^2 + 2*x^3)) + E^x*x*Log[x])/x,x]","2 e^{x+2} x^2-e^x \left(6 x^4+36 x^2+x+54\right)+x+e^x \log (x)","e^x \left(2 \left(e^2-3 \left(x+\frac{3}{x}\right)^2\right) x^2-x+\log (x)\right)+x",1,"x + 2*E^(2 + x)*x^2 - E^x*(54 + x + 36*x^2 + 6*x^4) + E^x*Log[x]","A",1
2310,1,40,26,0.6362116,"\int \frac{40 x+4 x^3-32 e^{12+x^2} x^5-16 e^{24+2 x^2} x^5}{25+90 x^2+81 x^4+8 e^{36+3 x^2} x^4+e^{48+4 x^2} x^4+e^{24+2 x^2} \left(10 x^2+34 x^4\right)+e^{12+x^2} \left(40 x^2+72 x^4\right)+\left(-10 x^2-18 x^4-8 e^{12+x^2} x^4-2 e^{24+2 x^2} x^4\right) \log (x)+x^4 \log ^2(x)} \, dx","Integrate[(40*x + 4*x^3 - 32*E^(12 + x^2)*x^5 - 16*E^(24 + 2*x^2)*x^5)/(25 + 90*x^2 + 81*x^4 + 8*E^(36 + 3*x^2)*x^4 + E^(48 + 4*x^2)*x^4 + E^(24 + 2*x^2)*(10*x^2 + 34*x^4) + E^(12 + x^2)*(40*x^2 + 72*x^4) + (-10*x^2 - 18*x^4 - 8*E^(12 + x^2)*x^4 - 2*E^(24 + 2*x^2)*x^4)*Log[x] + x^4*Log[x]^2),x]","\frac{4 x^2}{\left(4 e^{x^2+12}+e^{2 x^2+24}+9\right) x^2-x^2 \log (x)+5}","\frac{4}{\left(e^{x^2+12}+2\right)^2+\frac{5}{x^2}-\log (x)+5}",1,"(4*x^2)/(5 + (9 + 4*E^(12 + x^2) + E^(24 + 2*x^2))*x^2 - x^2*Log[x])","A",1
2311,1,52,32,0.1145705,"\int \frac{1}{4} \exp \left(\frac{1}{4} \left(20 x^2+4 x^3+16 x^4-16 x^3 \log ^2(3)+4 x^2 \log ^4(3)+\left(-5 x-x^2-4 x^3+4 x^2 \log ^2(3)-x \log ^4(3)\right) \log (x)\right)\right) \left(-5+39 x+8 x^2+64 x^3+\left(4 x-48 x^2\right) \log ^2(3)+(-1+8 x) \log ^4(3)+\left(-5-2 x-12 x^2+8 x \log ^2(3)-\log ^4(3)\right) \log (x)\right) \, dx","Integrate[(E^((20*x^2 + 4*x^3 + 16*x^4 - 16*x^3*Log[3]^2 + 4*x^2*Log[3]^4 + (-5*x - x^2 - 4*x^3 + 4*x^2*Log[3]^2 - x*Log[3]^4)*Log[x])/4)*(-5 + 39*x + 8*x^2 + 64*x^3 + (4*x - 48*x^2)*Log[3]^2 + (-1 + 8*x)*Log[3]^4 + (-5 - 2*x - 12*x^2 + 8*x*Log[3]^2 - Log[3]^4)*Log[x]))/4,x]","e^{x^2 \left(4 x^2+x-4 x \log ^2(3)+5+\log ^4(3)\right)} x^{-\frac{1}{4} x \left(4 x^2+x-4 x \log ^2(3)+5+\log ^4(3)\right)}","\exp \left(\frac{1}{4} \left(x+\left(2 x-\log ^2(3)\right)^2+5\right) \left(4 x^2-x \log (x)\right)\right)",1,"E^(x^2*(5 + x + 4*x^2 - 4*x*Log[3]^2 + Log[3]^4))/x^((x*(5 + x + 4*x^2 - 4*x*Log[3]^2 + Log[3]^4))/4)","A",1
2312,1,14,16,0.1619582,"\int \frac{e^x (2-x)+x}{\left(e^x x+x^2\right) \log \left(\frac{20 e^x+20 x}{x^2}\right)} \, dx","Integrate[(E^x*(2 - x) + x)/((E^x*x + x^2)*Log[(20*E^x + 20*x)/x^2]),x]","-\log \left(\log \left(\frac{20 \left(x+e^x\right)}{x^2}\right)\right)","-\log \left(\log \left(\frac{20 \left(x+e^x\right)}{x^2}\right)\right)-1",1,"-Log[Log[(20*(E^x + x))/x^2]]","A",1
2313,1,21,21,0.145645,"\int \frac{e^{(x-\log (x))^{\frac{1}{2+3 e^{x^2} x}}} (x-\log (x))^{\frac{1}{2+3 e^{x^2} x}} \left(2-2 x+e^{x^2} \left(3 x-3 x^2\right)+\left(e^{x^2} \left(3 x^2+6 x^4\right)+e^{x^2} \left(-3 x-6 x^3\right) \log (x)\right) \log (x-\log (x))\right)}{-4 x^2-12 e^{x^2} x^3-9 e^{2 x^2} x^4+\left(4 x+12 e^{x^2} x^2+9 e^{2 x^2} x^3\right) \log (x)} \, dx","Integrate[(E^(x - Log[x])^(2 + 3*E^x^2*x)^(-1)*(x - Log[x])^(2 + 3*E^x^2*x)^(-1)*(2 - 2*x + E^x^2*(3*x - 3*x^2) + (E^x^2*(3*x^2 + 6*x^4) + E^x^2*(-3*x - 6*x^3)*Log[x])*Log[x - Log[x]]))/(-4*x^2 - 12*E^x^2*x^3 - 9*E^(2*x^2)*x^4 + (4*x + 12*E^x^2*x^2 + 9*E^(2*x^2)*x^3)*Log[x]),x]","e^{(x-\log (x))^{\frac{1}{3 e^{x^2} x+2}}}","e^{(x-\log (x))^{\frac{1}{3 e^{x^2} x+2}}}",1,"E^(x - Log[x])^(2 + 3*E^x^2*x)^(-1)","A",1
2314,1,40,28,0.0998713,"\int \frac{1}{4} \left(1+e^{-1+x} \left(1-9 x-2 x^2+x^3+\left(-5-3 x+x^2\right) \log (2)\right)\right) \, dx","Integrate[(1 + E^(-1 + x)*(1 - 9*x - 2*x^2 + x^3 + (-5 - 3*x + x^2)*Log[2]))/4,x]","\frac{1}{4} \left(e^x \left(\frac{x^3}{e}+\frac{x^2 (\log (2)-5)}{e}+\frac{x (1-5 \log (2))}{e}\right)+x\right)","\frac{1}{4} \left(x-e^{x-1} ((5-x) x (x+\log (2))-x)\right)",1,"(x + E^x*(x^3/E + (x*(1 - 5*Log[2]))/E + (x^2*(-5 + Log[2]))/E))/4","A",1
2315,1,27,27,0.5192581,"\int \frac{1-e^x x+e^{-4+e^{2 x}} \left(e^x x-x \log (x)+\left(e^x x+2 e^{3 x} x^2+\left(-x-2 e^{2 x} x^2\right) \log (x)\right) \log (x \log (5))\right)}{-e^x x+x \log (x)} \, dx","Integrate[(1 - E^x*x + E^(-4 + E^(2*x))*(E^x*x - x*Log[x] + (E^x*x + 2*E^(3*x)*x^2 + (-x - 2*E^(2*x)*x^2)*Log[x])*Log[x*Log[5]]))/(-(E^x*x) + x*Log[x]),x]","\log \left(e^x-\log (x)\right)-e^{e^{2 x}-4} x \log (x \log (5))","\log \left(\log (x)-e^x\right)-e^{e^{2 x}-4} x \log (x \log (5))",1,"-(E^(-4 + E^(2*x))*x*Log[x*Log[5]]) + Log[E^x - Log[x]]","A",1
2316,1,19,17,0.007908,"\int \frac{52+20 x+2 x^2+(-4-x) \log (4+x)}{4+x} \, dx","Integrate[(52 + 20*x + 2*x^2 + (-4 - x)*Log[4 + x])/(4 + x),x]","(x+4)^2+4 (x+4)+x-x \log (x+4)","x^2+x-x (\log (x+4)-12)+\frac{244}{3}",1,"x + 4*(4 + x) + (4 + x)^2 - x*Log[4 + x]","A",1
2317,1,17,23,0.0726167,"\int \frac{x+\frac{1}{5} e^{-3-x+\log ^2(x)} (-x+2 \log (x))}{x} \, dx","Integrate[(x + (E^(-3 - x + Log[x]^2)*(-x + 2*Log[x]))/5)/x,x]","x+\frac{1}{5} e^{-x+\log ^2(x)-3}","x+\frac{1}{5} e^{-x+\log ^2(x)-3}+e^{e^3}-3",1,"E^(-3 - x + Log[x]^2)/5 + x","A",1
2318,1,25,24,0.1510114,"\int \frac{e^{e^{-\frac{2 e^{-x}}{\log (x)}}-x-\frac{2 e^{-x}}{\log (x)}} \left(10-2 e^x+2 x+\left(10 x-2 e^x x+2 x^2\right) \log (x)+e^{\frac{2 e^{-x}}{\log (x)}} \left(e^x x-e^{2 x} x\right) \log ^2(x)\right)}{x \log ^2(x)} \, dx","Integrate[(E^(E^(-2/(E^x*Log[x])) - x - 2/(E^x*Log[x]))*(10 - 2*E^x + 2*x + (10*x - 2*E^x*x + 2*x^2)*Log[x] + E^(2/(E^x*Log[x]))*(E^x*x - E^(2*x)*x)*Log[x]^2))/(x*Log[x]^2),x]","\left(-x+e^x-5\right) \left(-e^{e^{-\frac{2 e^{-x}}{\log (x)}}}\right)","\left(x-e^x+5\right) e^{e^{-\frac{2 e^{-x}}{\log (x)}}}",1,"-(E^E^(-2/(E^x*Log[x]))*(-5 + E^x - x))","A",1
2319,1,41,36,0.1251279,"\int \frac{e^{-\frac{1}{4} e^x \left(16-8 x+x^2\right)} \left(128-192 x-160 x^3-200 x^4+100 x^5+e^{3 x} \left(200 x^3-350 x^4+175 x^5-25 x^6\right)+e^{2 x} \left(-320 x^2+260 x^3-480 x^4+740 x^5-350 x^6+50 x^7\right)+e^x \left(-32 x+256 x^2+472 x^3-376 x^4+280 x^5-390 x^6+175 x^7-25 x^8\right)\right)}{100 x^3-200 x^4+100 x^5} \, dx","Integrate[(128 - 192*x - 160*x^3 - 200*x^4 + 100*x^5 + E^(3*x)*(200*x^3 - 350*x^4 + 175*x^5 - 25*x^6) + E^(2*x)*(-320*x^2 + 260*x^3 - 480*x^4 + 740*x^5 - 350*x^6 + 50*x^7) + E^x*(-32*x + 256*x^2 + 472*x^3 - 376*x^4 + 280*x^5 - 390*x^6 + 175*x^7 - 25*x^8))/(E^((E^x*(16 - 8*x + x^2))/4)*(100*x^3 - 200*x^4 + 100*x^5)),x]","\frac{e^{-\frac{1}{4} e^x (x-4)^2} \left(5 x^2-5 e^x x+4\right)^2}{25 (x-1) x^2}","\frac{e^{-\frac{1}{4} e^x (x-4)^2} \left(x-e^x+\frac{4}{5 x}\right)^2}{x-1}",1,"(4 - 5*E^x*x + 5*x^2)^2/(25*E^((E^x*(-4 + x)^2)/4)*(-1 + x)*x^2)","A",1
2320,1,39,18,0.0655481,"\int \frac{240 x+2 x^3-x^4+4 x^6+\left(-240 x-120 x^2+1440 x^4\right) \log (x)+172800 x^2 \log ^2(x)+6912000 \log ^3(x)}{-x^4+4 x^6+\left(-120 x^2+1440 x^4\right) \log (x)+172800 x^2 \log ^2(x)+6912000 \log ^3(x)} \, dx","Integrate[(240*x + 2*x^3 - x^4 + 4*x^6 + (-240*x - 120*x^2 + 1440*x^4)*Log[x] + 172800*x^2*Log[x]^2 + 6912000*Log[x]^3)/(-x^4 + 4*x^6 + (-120*x^2 + 1440*x^4)*Log[x] + 172800*x^2*Log[x]^2 + 6912000*Log[x]^3),x]","-2 \log \left(x^2+120 \log (x)\right)+\log \left(2 x^2-x+240 \log (x)\right)+\log \left(2 x^2+x+240 \log (x)\right)+x","x+\log \left(4-\frac{1}{\left(x+\frac{120 \log (x)}{x}\right)^2}\right)",1,"x - 2*Log[x^2 + 120*Log[x]] + Log[-x + 2*x^2 + 240*Log[x]] + Log[x + 2*x^2 + 240*Log[x]]","B",1
2321,1,19,21,0.0585627,"\int \frac{1-x^2-\log (x)}{e x^2 \log ^2\left(e^{-x} x^{\frac{1}{x}}\right)} \, dx","Integrate[(1 - x^2 - Log[x])/(E*x^2*Log[x^x^(-1)/E^x]^2),x]","-\frac{1}{e \log \left(e^{-x} x^{\frac{1}{x}}\right)}","1-\frac{1}{e \log \left(e^{-x} x^{\frac{1}{x}}\right)}",1,"-(1/(E*Log[x^x^(-1)/E^x]))","A",1
2322,1,17,18,0.0000845,"\int \left(-3 e^2 x^2-3 e^{10} x^2\right) \, dx","Integrate[-3*E^2*x^2 - 3*E^10*x^2,x]","-e^{10} x^3-e^2 x^3","6-x^2 \left(e^{10} x+e^2 x\right)",1,"-(E^2*x^3) - E^10*x^3","A",1
2323,1,41,36,0.4100839,"\int \frac{25-46 x+6 x^2+\left(4-7 x-x^2\right) \log \left(\frac{-x+2 x \log (5)}{2 \log (5)}\right)+\log (x) \left(21-x-5 x^2+4 \log \left(\frac{-x+2 x \log (5)}{2 \log (5)}\right)\right)}{5 x^4-10 x^3 \log (x)+5 x^2 \log ^2(x)} \, dx","Integrate[(25 - 46*x + 6*x^2 + (4 - 7*x - x^2)*Log[(-x + 2*x*Log[5])/(2*Log[5])] + Log[x]*(21 - x - 5*x^2 + 4*Log[(-x + 2*x*Log[5])/(2*Log[5])]))/(5*x^4 - 10*x^3*Log[x] + 5*x^2*Log[x]^2),x]","-\frac{-6 x^2+x \log (x)-(x+4) \log \left(x-\frac{x}{\log (25)}\right)-25}{5 x (x-\log (x))}","\frac{x^2+\frac{1}{5} (x+4) \log \left(x-\frac{x}{2 \log (5)}\right)+5}{x (x-\log (x))}",1,"-1/5*(-25 - 6*x^2 + x*Log[x] - (4 + x)*Log[x - x/Log[25]])/(x*(x - Log[x]))","A",1
2324,1,19,19,0.1174779,"\int \frac{16 e^{2+4 x+4 x^2} \left(-8+\left(1+4 x+8 x^2\right) \log (x)\right)}{\log ^9(x)} \, dx","Integrate[(16*E^(2 + 4*x + 4*x^2)*(-8 + (1 + 4*x + 8*x^2)*Log[x]))/Log[x]^9,x]","\frac{16 e^{4 x^2+4 x+2} x}{\log ^8(x)}","\frac{16 e^{4 x^2+4 x+2} x}{\log ^8(x)}",1,"(16*E^(2 + 4*x + 4*x^2)*x)/Log[x]^8","A",1
2325,1,22,23,0.0121391,"\int \left(-4+e^{2 x} (-25-50 x)-4 x-5 \log (5 x)\right) \, dx","Integrate[-4 + E^(2*x)*(-25 - 50*x) - 4*x - 5*Log[5*x],x]","-2 x^2-25 e^{2 x} x+x-5 x \log (5 x)","x-\left(x \left(2 x+25 e^{2 x}+5 \log (5 x)\right)\right)-4",1,"x - 25*E^(2*x)*x - 2*x^2 - 5*x*Log[5*x]","A",1
2326,1,15,15,0.0115103,"\int \frac{\frac{e^x (1-x)}{x}-x \log (\log (4))}{x} \, dx","Integrate[((E^x*(1 - x))/x - x*Log[Log[4]])/x,x]","x (-\log (\log (4)))-\frac{e^x}{x}","x (-\log (\log (4)))-\frac{e^x}{x}",1,"-(E^x/x) - x*Log[Log[4]]","A",1
2327,1,12,19,0.0059334,"\int e^{-x} \left(-4+e^x (1+2 x)\right) \, dx","Integrate[(-4 + E^x*(1 + 2*x))/E^x,x]","x^2+x+4 e^{-x}","x^2+x+4 e^{-x}+2+4 (1+\log (5))",1,"4/E^x + x + x^2","A",1
2328,1,14,18,0.0016435,"\int \frac{-4 e^{22}+x^2}{2 e^{22} x^2} \, dx","Integrate[(-4*E^22 + x^2)/(2*E^22*x^2),x]","\frac{x}{2 e^{22}}+\frac{2}{x}","\frac{1}{2} \left(\frac{x}{e^{22}}+1\right)+\frac{2}{x}-2",1,"2/x + x/(2*E^22)","A",1
2329,1,23,23,0.1075631,"\int \frac{e^{\frac{3}{\log (1+\log (3 x))}} (12+3 x)+\left(x+12 x^3+3 x^4+\left(x+12 x^3+3 x^4\right) \log (3 x)\right) \log ^2(1+\log (3 x))}{\left(4 x+x^2+\left(4 x+x^2\right) \log (3 x)\right) \log ^2(1+\log (3 x))} \, dx","Integrate[(E^(3/Log[1 + Log[3*x]])*(12 + 3*x) + (x + 12*x^3 + 3*x^4 + (x + 12*x^3 + 3*x^4)*Log[3*x])*Log[1 + Log[3*x]]^2)/((4*x + x^2 + (4*x + x^2)*Log[3*x])*Log[1 + Log[3*x]]^2),x]","x^3-e^{\frac{3}{\log (\log (3 x)+1)}}+\log (x+4)","x^3-e^{\frac{3}{\log (\log (3 x)+1)}}+\log (x+4)",1,"-E^(3/Log[1 + Log[3*x]]) + x^3 + Log[4 + x]","A",1
2330,1,17,17,0.02941,"\int e^{-3-e^5-6 x+2 x^2} (-6+4 x) \, dx","Integrate[E^(-3 - E^5 - 6*x + 2*x^2)*(-6 + 4*x),x]","e^{2 x^2-6 x-e^5-3}","e^{2 x^2-6 x-e^5-3}",1,"E^(-3 - E^5 - 6*x + 2*x^2)","A",1
2331,1,70,42,0.141126,"\int \frac{32 x^4-16 x^5+2 x^6+\left(240 x^2-120 x^3-x^4+8 x^5-x^6\right) \log \left(\frac{1}{5} \left(-15+x^2\right)\right)+\left(-15 x^2+x^4+\left(-240+120 x+x^2-8 x^3+x^4\right) \log (3)\right) \log ^2\left(\frac{1}{5} \left(-15+x^2\right)\right)}{-960 x^4+480 x^5+4 x^6-32 x^7+4 x^8+\left(2400 x^3-1080 x^4-40 x^5+72 x^6-8 x^7+\left(-1920 x^2+960 x^3+8 x^4-64 x^5+8 x^6\right) \log (3)\right) \log \left(\frac{1}{5} \left(-15+x^2\right)\right)+\left(-1500 x^2+600 x^3+40 x^4-40 x^5+4 x^6+\left(2400 x-1080 x^2-40 x^3+72 x^4-8 x^5\right) \log (3)+\left(-960+480 x+4 x^2-32 x^3+4 x^4\right) \log ^2(3)\right) \log ^2\left(\frac{1}{5} \left(-15+x^2\right)\right)} \, dx","Integrate[(32*x^4 - 16*x^5 + 2*x^6 + (240*x^2 - 120*x^3 - x^4 + 8*x^5 - x^6)*Log[(-15 + x^2)/5] + (-15*x^2 + x^4 + (-240 + 120*x + x^2 - 8*x^3 + x^4)*Log[3])*Log[(-15 + x^2)/5]^2)/(-960*x^4 + 480*x^5 + 4*x^6 - 32*x^7 + 4*x^8 + (2400*x^3 - 1080*x^4 - 40*x^5 + 72*x^6 - 8*x^7 + (-1920*x^2 + 960*x^3 + 8*x^4 - 64*x^5 + 8*x^6)*Log[3])*Log[(-15 + x^2)/5] + (-1500*x^2 + 600*x^3 + 40*x^4 - 40*x^5 + 4*x^6 + (2400*x - 1080*x^2 - 40*x^3 + 72*x^4 - 8*x^5)*Log[3] + (-960 + 480*x + 4*x^2 - 32*x^3 + 4*x^4)*Log[3]^2)*Log[(-15 + x^2)/5]^2),x]","\frac{(x-4) x^2+(x+x \log (3)-4 \log (3)) \log \left(\frac{x^2}{5}-3\right)}{4 \left((x-4) x^2+\left(-x^2+x (5+\log (3))-4 \log (3)\right) \log \left(\frac{x^2}{5}-3\right)\right)}","\frac{1}{4 \left(\frac{x}{\log \left(\left(\frac{x}{5}-\frac{3}{x}\right) x\right)}+\frac{\frac{x}{x-4}-x+\log (3)}{x}\right)}",1,"((-4 + x)*x^2 + (x - 4*Log[3] + x*Log[3])*Log[-3 + x^2/5])/(4*((-4 + x)*x^2 + (-x^2 - 4*Log[3] + x*(5 + Log[3]))*Log[-3 + x^2/5]))","A",1
2332,1,51,27,0.0499347,"\int \frac{400-160 x-72 x^3+16 x^4+24 x^5-8 x^6}{-100 x+80 x^2+24 x^3-36 x^4+4 x^5+4 x^6-x^7+x^3 \log ^2(4)} \, dx","Integrate[(400 - 160*x - 72*x^3 + 16*x^4 + 24*x^5 - 8*x^6)/(-100*x + 80*x^2 + 24*x^3 - 36*x^4 + 4*x^5 + 4*x^6 - x^7 + x^3*Log[4]^2),x]","8 \left(\frac{1}{4} \log \left(x^6-4 x^5-4 x^4+36 x^3-24 x^2-x^2 \log ^2(4)-80 x+100\right)-\frac{\log (x)}{2}\right)","\log \left(\left(\log ^2(4)-\left(-x^2+2 x-\frac{10}{x}+4\right)^2\right)^2\right)",1,"8*(-1/2*Log[x] + Log[100 - 80*x - 24*x^2 + 36*x^3 - 4*x^4 - 4*x^5 + x^6 - x^2*Log[4]^2]/4)","A",1
2333,1,36,20,0.0074987,"\int \frac{-16 e x+24 x^2+(-4 e+8 x) \log (\log (2))}{3 \log (\log (2))} \, dx","Integrate[(-16*E*x + 24*x^2 + (-4*E + 8*x)*Log[Log[2]])/(3*Log[Log[2]]),x]","\frac{8 x^3-8 e x^2+4 x^2 \log (\log (2))-4 e x \log (\log (2))}{3 \log (\log (2))}","\frac{1}{3} x (x-e) \left(\frac{8 x}{\log (\log (2))}+4\right)",1,"(-8*E*x^2 + 8*x^3 - 4*E*x*Log[Log[2]] + 4*x^2*Log[Log[2]])/(3*Log[Log[2]])","A",1
2334,1,9,15,0.0006182,"\int \frac{1}{3} (-5+6 x) \, dx","Integrate[(-5 + 6*x)/3,x]","x^2-\frac{5 x}{3}","x^2-\frac{5 x}{3}-\frac{1}{e}-1",1,"(-5*x)/3 + x^2","A",1
2335,1,20,17,0.0351289,"\int \frac{-x+(10+x) \log (10+x)+\left(20 x+2 x^2+100 x^4+10 x^5+80 x^7+8 x^8\right) \log ^2(10+x)}{(10+x) \log ^2(10+x)} \, dx","Integrate[(-x + (10 + x)*Log[10 + x] + (20*x + 2*x^2 + 100*x^4 + 10*x^5 + 80*x^7 + 8*x^8)*Log[10 + x]^2)/((10 + x)*Log[10 + x]^2),x]","x^8+2 x^5+x^2+\frac{x}{\log (x+10)}","\left(x^4+x\right)^2+\frac{x}{\log (x+10)}+1",1,"x^2 + 2*x^5 + x^8 + x/Log[10 + x]","A",1
2336,1,32,28,1.33226,"\int \frac{-36 x+24 e^{3 e^x} x-4 e^{6 e^x} x+e^{-\frac{x^2}{-6+2 e^{3 e^x}}} \left(6 x+e^{3 e^x} \left(-2 x+3 e^x x^2\right)\right)}{18-12 e^{3 e^x}+2 e^{6 e^x}} \, dx","Integrate[(-36*x + 24*E^(3*E^x)*x - 4*E^(6*E^x)*x + (6*x + E^(3*E^x)*(-2*x + 3*E^x*x^2))/E^(x^2/(-6 + 2*E^(3*E^x))))/(18 - 12*E^(3*E^x) + 2*E^(6*E^x)),x]","\frac{1}{2} \left(2 e^{-\frac{x^2}{2 \left(e^{3 e^x}-3\right)}}-2 x^2\right)","e^{\frac{x^2}{2 \left(3-e^{3 e^x}\right)}}-x^2",1,"(2/E^(x^2/(2*(-3 + E^(3*E^x)))) - 2*x^2)/2","A",1
2337,1,25,20,0.0115154,"\int \frac{4+4 x-8 x^2-8 x^2 \log \left(x+x^2\right)}{15 x} \, dx","Integrate[(4 + 4*x - 8*x^2 - 8*x^2*Log[x + x^2])/(15*x),x]","-\frac{4}{15} \left(x^2 \log (x (x+1))-\log (x)-\log (x+1)\right)","7-\frac{4}{15} x \left(x-\frac{1}{x}\right) \log \left(x^2+x\right)",1,"(-4*(-Log[x] - Log[1 + x] + x^2*Log[x*(1 + x)]))/15","A",1
2338,1,21,22,0.3913147,"\int \frac{-3+e^x \left(3 x+6 x^2+3 x^3\right)}{\left(2 e^{e^x \left(1+x^2\right)}-x\right) \log \left(e^{-e^x \left(1+x^2\right)} \left(-12 e^{e^x \left(1+x^2\right)}+6 x\right)\right)} \, dx","Integrate[(-3 + E^x*(3*x + 6*x^2 + 3*x^3))/((2*E^(E^x*(1 + x^2)) - x)*Log[(-12*E^(E^x*(1 + x^2)) + 6*x)/E^(E^x*(1 + x^2))]),x]","3 \log \left(\log \left(6 e^{-e^x \left(x^2+1\right)} x-12\right)\right)","3 \log \left(\log \left(6 \left(e^{-e^x \left(x^2+1\right)} x-2\right)\right)\right)",1,"3*Log[Log[-12 + (6*x)/E^(E^x*(1 + x^2))]]","A",1
2339,1,77,29,0.0661275,"\int \frac{4-10 x+\left(5600-12400 x+7150 x^2-1600 x^3+125 x^4\right) \log (3)+\left(-750+800 x-150 x^2\right) \log (3) \log (4 x)+25 \log (3) \log ^2(4 x)}{4 x-5 x^2+\left(6400 x-6400 x^2+2400 x^3-400 x^4+25 x^5\right) \log (3)+\left(-800 x+400 x^2-50 x^3\right) \log (3) \log (4 x)+25 x \log (3) \log ^2(4 x)} \, dx","Integrate[(4 - 10*x + (5600 - 12400*x + 7150*x^2 - 1600*x^3 + 125*x^4)*Log[3] + (-750 + 800*x - 150*x^2)*Log[3]*Log[4*x] + 25*Log[3]*Log[4*x]^2)/(4*x - 5*x^2 + (6400*x - 6400*x^2 + 2400*x^3 - 400*x^4 + 25*x^5)*Log[3] + (-800*x + 400*x^2 - 50*x^3)*Log[3]*Log[4*x] + 25*x*Log[3]*Log[4*x]^2),x]","\log \left(25 x^4 \log (3)-400 x^3 \log (3)-50 x^2 \log (3) \log (4 x)+2400 x^2 \log (3)-5 x+25 \log (3) \log ^2(4 x)+400 x \log (3) \log (4 x)-6400 x \log (3)-800 \log (3) \log (4 x)+4+6400 \log (3)\right)+\log (x)","\log \left(x \left(4-5 \left(x-5 \log (3) \left(\log (4 x)-(4-x)^2\right)^2\right)\right)\right)",1,"Log[x] + Log[4 - 5*x + 6400*Log[3] - 6400*x*Log[3] + 2400*x^2*Log[3] - 400*x^3*Log[3] + 25*x^4*Log[3] - 800*Log[3]*Log[4*x] + 400*x*Log[3]*Log[4*x] - 50*x^2*Log[3]*Log[4*x] + 25*Log[3]*Log[4*x]^2]","B",1
2340,1,19,13,0.2153302,"\int \frac{x^3+e^{e^x} \left(-2+e^x x\right)}{e^{e^x} x-5 x^3+x^4} \, dx","Integrate[(x^3 + E^E^x*(-2 + E^x*x))/(E^E^x*x - 5*x^3 + x^4),x]","\log \left((x-5) x^2+e^{e^x}\right)-2 \log (x)","\log \left(\frac{e^{e^x}}{x^2}+x-5\right)",1,"-2*Log[x] + Log[E^E^x + (-5 + x)*x^2]","A",1
2341,1,6,12,0.0007437,"\int \frac{1+2 x^2}{x} \, dx","Integrate[(1 + 2*x^2)/x,x]","x^2+\log (x)","x^2+\log (x)+e^3-8+\log (5)",1,"x^2 + Log[x]","A",1
2342,1,34,31,3.0436383,"\int \frac{e^{-x} \left(8 e^{x+4 x^2} x^3+e^{x^2} \left(-5-5 x+10 x^2+e^x \left(1-2 x^2\right)+e^{2 x} \left(1-x-2 x^2\right)\right)\right)}{x^2} \, dx","Integrate[(8*E^(x + 4*x^2)*x^3 + E^x^2*(-5 - 5*x + 10*x^2 + E^x*(1 - 2*x^2) + E^(2*x)*(1 - x - 2*x^2)))/(E^x*x^2),x]","-\frac{e^{(x-1) x} \left(-e^{3 x^2+x} x+e^x+e^{2 x}-5\right)}{x}","\frac{e^{x^2} \left(5 e^{-x}-e^x-1\right)}{x}+e^{4 x^2}",1,"-((E^((-1 + x)*x)*(-5 + E^x + E^(2*x) - E^(x + 3*x^2)*x))/x)","A",1
2343,1,31,22,0.021631,"\int \frac{1}{2} e^{-23-10 e^3-e^6} \left(1+e^{23+10 e^3+e^6} (-5+x)\right) \, dx","Integrate[(E^(-23 - 10*E^3 - E^6)*(1 + E^(23 + 10*E^3 + E^6)*(-5 + x)))/2,x]","\frac{1}{2} \left(\frac{x^2}{2}+e^{-23-10 e^3-e^6} x-5 x\right)","\frac{1}{4} \left(x+e^{2-\left(5+e^3\right)^2}-5\right)^2",1,"(-5*x + E^(-23 - 10*E^3 - E^6)*x + x^2/2)/2","A",1
2344,1,26,27,3.2007662,"\int \frac{x^2+2 x \log (x)+\log ^2(x)+e^{\frac{2 \left(25+e x^2+e x \log (x)\right)}{x^2+x \log (x)}} \left(-25-50 x+x^3+\left(-25+2 x^2\right) \log (x)+x \log ^2(x)\right)}{x^2+2 x \log (x)+\log ^2(x)} \, dx","Integrate[(x^2 + 2*x*Log[x] + Log[x]^2 + E^((2*(25 + E*x^2 + E*x*Log[x]))/(x^2 + x*Log[x]))*(-25 - 50*x + x^3 + (-25 + 2*x^2)*Log[x] + x*Log[x]^2))/(x^2 + 2*x*Log[x] + Log[x]^2),x]","\frac{1}{2} x^2 e^{\frac{50}{x (x+\log (x))}+2 e}+x","\frac{1}{2} x^2 e^{\frac{50}{x (x+\log (x))}+2 e}+x+4",1,"x + (E^(2*E + 50/(x*(x + Log[x])))*x^2)/2","A",1
2345,1,28,32,0.3283612,"\int \frac{1200+360 x-1500 x^4+3000 x^5-1500 x^6+\left(360 x-6000 x^4+15000 x^5-9000 x^6\right) \log (x)}{\left(400 x+240 x^2+36 x^3-1000 x^5+1700 x^6-400 x^7-300 x^8+625 x^9-2500 x^{10}+3750 x^{11}-2500 x^{12}+625 x^{13}\right) \log ^2(x)} \, dx","Integrate[(1200 + 360*x - 1500*x^4 + 3000*x^5 - 1500*x^6 + (360*x - 6000*x^4 + 15000*x^5 - 9000*x^6)*Log[x])/((400*x + 240*x^2 + 36*x^3 - 1000*x^5 + 1700*x^6 - 400*x^7 - 300*x^8 + 625*x^9 - 2500*x^10 + 3750*x^11 - 2500*x^12 + 625*x^13)*Log[x]^2),x]","-\frac{60}{\left(-25 x^6+50 x^5-25 x^4+6 x+20\right) \log (x)}","\frac{12}{\left(\frac{1}{5} \left((5-5 x)^2 x^4-x\right)-x-4\right) \log (x)}",1,"-60/((20 + 6*x - 25*x^4 + 50*x^5 - 25*x^6)*Log[x])","A",1
2346,1,20,16,0.0008479,"\int \frac{1}{25} \left(-9-12 x-3 x^2\right) \, dx","Integrate[(-9 - 12*x - 3*x^2)/25,x]","-\frac{3}{25} \left(\frac{x^3}{3}+2 x^2+3 x\right)","-\frac{1}{25} x (x+3)^2+2+4 \log (2)",1,"(-3*(3*x + 2*x^2 + x^3/3))/25","A",1
2347,1,21,24,0.300229,"\int \frac{-50 x+e^{e^x} \left(10 x+e^x \left(-2 x+5 x^2\right)\right)+\left(-10+e^{e^x} (2-5 x)+25 x\right) \log \left(20-100 x+125 x^2+e^{e^x} \left(-4+20 x-25 x^2\right)\right)}{10 x^2-25 x^3+e^{e^x} \left(-2 x^2+5 x^3\right)} \, dx","Integrate[(-50*x + E^E^x*(10*x + E^x*(-2*x + 5*x^2)) + (-10 + E^E^x*(2 - 5*x) + 25*x)*Log[20 - 100*x + 125*x^2 + E^E^x*(-4 + 20*x - 25*x^2)])/(10*x^2 - 25*x^3 + E^E^x*(-2*x^2 + 5*x^3)),x]","\frac{\log \left(-\left(\left(e^{e^x}-5\right) (5 x-2)^2\right)\right)}{x}","\frac{\log \left(\left(5-e^{e^x}\right) (2-5 x)^2\right)}{x}+1",1,"Log[-((-5 + E^E^x)*(-2 + 5*x)^2)]/x","A",1
2348,1,26,26,0.0625709,"\int \frac{-8-18 x+40 x^2-8 x^4+\left(50+18 x-20 x^2+2 x^4+8 \log (4 x)\right) \log \left(25+9 x-10 x^2+x^4+4 \log (4 x)\right) \log \left(\log \left(25+9 x-10 x^2+x^4+4 \log (4 x)\right)\right)}{\left(25+9 x-10 x^2+x^4+4 \log (4 x)\right) \log \left(25+9 x-10 x^2+x^4+4 \log (4 x)\right) \log ^2\left(\log \left(25+9 x-10 x^2+x^4+4 \log (4 x)\right)\right)} \, dx","Integrate[(-8 - 18*x + 40*x^2 - 8*x^4 + (50 + 18*x - 20*x^2 + 2*x^4 + 8*Log[4*x])*Log[25 + 9*x - 10*x^2 + x^4 + 4*Log[4*x]]*Log[Log[25 + 9*x - 10*x^2 + x^4 + 4*Log[4*x]]])/((25 + 9*x - 10*x^2 + x^4 + 4*Log[4*x])*Log[25 + 9*x - 10*x^2 + x^4 + 4*Log[4*x]]*Log[Log[25 + 9*x - 10*x^2 + x^4 + 4*Log[4*x]]]^2),x]","\frac{2 x}{\log \left(\log \left(x^4-10 x^2+9 x+4 \log (4 x)+25\right)\right)}","\frac{2 x}{\log \left(\log \left(\left(x^2-5\right)^2+x+4 (2 x+\log (4 x))\right)\right)}",1,"(2*x)/Log[Log[25 + 9*x - 10*x^2 + x^4 + 4*Log[4*x]]]","A",1
2349,1,45,38,0.1645319,"\int \frac{-x^2+2 x^3+\exp \left(-x+2 e^{\frac{1}{2} (6+8 x+5 \log (x))} x+x^2+e^{6+8 x} x^5\right) \left(-1-x+2 x^2+e^{6+8 x} x^5 (5+8 x)+e^{\frac{1}{2} (6+8 x+5 \log (x))} \left(7 x+8 x^2\right)\right)}{x^2} \, dx","Integrate[(-x^2 + 2*x^3 + E^(-x + 2*E^((6 + 8*x + 5*Log[x])/2)*x + x^2 + E^(6 + 8*x)*x^5)*(-1 - x + 2*x^2 + E^(6 + 8*x)*x^5*(5 + 8*x) + E^((6 + 8*x + 5*Log[x])/2)*(7*x + 8*x^2)))/x^2,x]","x^2+\frac{e^{2 e^{4 x+3} x^{7/2}+e^{8 x+6} x^5+x^2-x}}{x}-x","x^2-x+\frac{e^{\left(x+e^{-x+5 \left(x+\frac{\log (x)}{2}\right)+3}\right)^2-x}}{x}",1,"E^(-x + x^2 + 2*E^(3 + 4*x)*x^(7/2) + E^(6 + 8*x)*x^5)/x - x + x^2","A",1
2350,1,23,23,0.0281402,"\int \frac{-8-36 x+8 x \log (\log (2))}{80 x^2+360 x^3+405 x^4+\left(-80 x^3-180 x^4\right) \log (\log (2))+20 x^4 \log ^2(\log (2))} \, dx","Integrate[(-8 - 36*x + 8*x*Log[Log[2]])/(80*x^2 + 360*x^3 + 405*x^4 + (-80*x^3 - 180*x^4)*Log[Log[2]] + 20*x^4*Log[Log[2]]^2),x]","\frac{4}{5 \left(18 x^2-4 x^2 \log (\log (2))+8 x\right)}","\frac{1}{5 x^2 \left(\frac{2}{x}+\frac{9}{2}-\log (\log (2))\right)}",1,"4/(5*(8*x + 18*x^2 - 4*x^2*Log[Log[2]]))","A",1
2351,1,9,12,0.0045782,"\int -\frac{16 e^{\frac{16-20 x}{x}}}{x^2} \, dx","Integrate[(-16*E^((16 - 20*x)/x))/x^2,x]","e^{\frac{16}{x}-20}","e^{\frac{4 (4-5 x)}{x}}",1,"E^(-20 + 16/x)","A",1
2352,1,66,23,0.6532951,"\int \frac{-64 x^8+\left(384 x^6+144 x^8\right) \log (x)+\left(-768 x^4-16 e^x x^4-896 x^6\right) \log ^2(x)+\left(512 x^2+1920 x^4+e^x \left(32 x^2+40 x^4+8 x^5\right)\right) \log ^3(x)+\left(-1536 x^2+e^x \left(-96 x^2-32 x^3\right)\right) \log ^4(x)+\left(256+2 x+e^{2 x} (1+2 x)+e^x (32+32 x)\right) \log ^5(x)}{\log ^5(x)} \, dx","Integrate[(-64*x^8 + (384*x^6 + 144*x^8)*Log[x] + (-768*x^4 - 16*E^x*x^4 - 896*x^6)*Log[x]^2 + (512*x^2 + 1920*x^4 + E^x*(32*x^2 + 40*x^4 + 8*x^5))*Log[x]^3 + (-1536*x^2 + E^x*(-96*x^2 - 32*x^3))*Log[x]^4 + (256 + 2*x + E^(2*x)*(1 + 2*x) + E^x*(32 + 32*x))*Log[x]^5)/Log[x]^5,x]","\frac{16 x^9}{\log ^4(x)}-\frac{128 x^7}{\log ^3(x)}+\frac{8 \left(e^x+48\right) x^5}{\log ^2(x)}-\frac{32 \left(e^x+16\right) x^3}{\log (x)}+x^2+32 e^x x+e^{2 x} x+256 x","x \left(\left(\left(4-\frac{2 x^2}{\log (x)}\right)^2+e^x\right)^2+x\right)",1,"256*x + 32*E^x*x + E^(2*x)*x + x^2 + (16*x^9)/Log[x]^4 - (128*x^7)/Log[x]^3 + (8*(48 + E^x)*x^5)/Log[x]^2 - (32*(16 + E^x)*x^3)/Log[x]","B",1
2353,1,18,19,0.3855941,"\int \frac{-5+9 x-8 x^2+\left(5 x-4 x^2\right) \log \left(\frac{1}{4} \left(5 x-4 x^2\right)\right)}{\left(-5 x+4 x^2\right) \log (x)+\left(5 x^2-4 x^3\right) \log \left(\frac{1}{4} \left(5 x-4 x^2\right)\right)} \, dx","Integrate[(-5 + 9*x - 8*x^2 + (5*x - 4*x^2)*Log[(5*x - 4*x^2)/4])/((-5*x + 4*x^2)*Log[x] + (5*x^2 - 4*x^3)*Log[(5*x - 4*x^2)/4]),x]","\log \left(\log (x)-x \log \left(\frac{1}{4} (5-4 x) x\right)\right)","\log \left(\log (x)-x \log \left(\frac{5 x}{4}-x^2\right)\right)",1,"Log[Log[x] - x*Log[((5 - 4*x)*x)/4]]","A",1
2354,1,22,19,0.0121512,"\int \frac{1}{2} \left(-5+3 e^{-3 x/2}+4 x\right) \, dx","Integrate[(-5 + 3/E^((3*x)/2) + 4*x)/2,x]","\frac{1}{2} \left(2 x^2-5 x-2 e^{-3 x/2}\right)","x^2-\frac{5 x}{2}-e^{-3 x/2}+1",1,"(-2/E^((3*x)/2) - 5*x + 2*x^2)/2","A",1
2355,1,82,16,0.1195497,"\int \frac{-2 x-\log \left(\frac{e^x}{6}\right)}{x^2 \log ^3\left(\frac{e^x}{6}\right)} \, dx","Integrate[(-2*x - Log[E^x/6])/(x^2*Log[E^x/6]^3),x]","\frac{2 x^3+\log ^2\left(\frac{e^x}{6}\right) \left(11 x-2 \log \left(e^x\right)+\log (36)\right)+x \log \left(\frac{e^x}{6}\right) \left(-6 x-5 \log \left(e^x\right)+5 \log (6)\right)}{2 x \log ^2\left(\frac{e^x}{6}\right) \left(x-\log \left(e^x\right)+\log (6)\right)^3}","\frac{1}{x \log ^2\left(\frac{e^x}{6}\right)}+6",1,"(2*x^3 + x*Log[E^x/6]*(-6*x + 5*Log[6] - 5*Log[E^x]) + Log[E^x/6]^2*(11*x + Log[36] - 2*Log[E^x]))/(2*x*Log[E^x/6]^2*(x + Log[6] - Log[E^x])^3)","B",0
2356,1,12,13,0.0019208,"\int \frac{3 x+8 \log \left(x^2\right)}{2 x} \, dx","Integrate[(3*x + 8*Log[x^2])/(2*x),x]","\log ^2\left(x^2\right)+\frac{3 x}{2}","\log ^2\left(x^2\right)+\frac{3 x}{2}+1",1,"(3*x)/2 + Log[x^2]^2","A",1
2357,1,42,30,0.146562,"\int \frac{e^{-5-e^{2 x}-e^{2 x^2}-2 e^{x+x^2}-x} \left(10+4 x-x^2+e^{2 x} \left(10 x-2 x^2\right)+e^{x+x^2} \left(10 x+18 x^2-4 x^3\right)+e^{2 x^2} \left(20 x^2-4 x^3\right)\right)}{3 x^3} \, dx","Integrate[(E^(-5 - E^(2*x) - E^(2*x^2) - 2*E^(x + x^2) - x)*(10 + 4*x - x^2 + E^(2*x)*(10*x - 2*x^2) + E^(x + x^2)*(10*x + 18*x^2 - 4*x^3) + E^(2*x^2)*(20*x^2 - 4*x^3)))/(3*x^3),x]","\frac{e^{-e^{2 x^2}-2 e^{x^2+x}-x-e^{2 x}-5} (x-5)}{3 x^2}","\frac{e^{-\left(e^{x^2}+e^x\right)^2-x-5} (x-5)}{3 x^2}",1,"(E^(-5 - E^(2*x) - E^(2*x^2) - 2*E^(x + x^2) - x)*(-5 + x))/(3*x^2)","A",1
2358,1,42,33,0.1857949,"\int \frac{e^{4 e^x+2 x^2} \left(6 x-24 e^x x^2+12 x^3\right)+e^{2 x^2} \left(6 x^3-12 x^5\right)-12 e^{2 x^2} x \log (x)+e^{2 x^2} \left(6 x+12 x^3\right) \log ^2(x)+e^{2 e^x} \left(12 e^{2 x^2} x+e^{2 x^2} \left(-12 x+24 e^x x^2-24 x^3\right) \log (x)\right)}{e^{12 e^x}-x^6-6 e^{10 e^x} \log (x)+3 x^4 \log ^2(x)-3 x^2 \log ^4(x)+\log ^6(x)+e^{8 e^x} \left(-3 x^2+15 \log ^2(x)\right)+e^{6 e^x} \left(12 x^2 \log (x)-20 \log ^3(x)\right)+e^{4 e^x} \left(3 x^4-18 x^2 \log ^2(x)+15 \log ^4(x)\right)+e^{2 e^x} \left(-6 x^4 \log (x)+12 x^2 \log ^3(x)-6 \log ^5(x)\right)} \, dx","Integrate[(E^(4*E^x + 2*x^2)*(6*x - 24*E^x*x^2 + 12*x^3) + E^(2*x^2)*(6*x^3 - 12*x^5) - 12*E^(2*x^2)*x*Log[x] + E^(2*x^2)*(6*x + 12*x^3)*Log[x]^2 + E^(2*E^x)*(12*E^(2*x^2)*x + E^(2*x^2)*(-12*x + 24*E^x*x^2 - 24*x^3)*Log[x]))/(E^(12*E^x) - x^6 - 6*E^(10*E^x)*Log[x] + 3*x^4*Log[x]^2 - 3*x^2*Log[x]^4 + Log[x]^6 + E^(8*E^x)*(-3*x^2 + 15*Log[x]^2) + E^(6*E^x)*(12*x^2*Log[x] - 20*Log[x]^3) + E^(4*E^x)*(3*x^4 - 18*x^2*Log[x]^2 + 15*Log[x]^4) + E^(2*E^x)*(-6*x^4*Log[x] + 12*x^2*Log[x]^3 - 6*Log[x]^5)),x]","\frac{3 e^{2 x^2} x^2}{\left(-x^2+e^{4 e^x}+\log ^2(x)-2 e^{2 e^x} \log (x)\right)^2}","\frac{3 e^{2 x^2}}{\left(\frac{\left(\log (x)-e^{2 e^x}\right)^2}{x}-x\right)^2}",1,"(3*E^(2*x^2)*x^2)/(E^(4*E^x) - x^2 - 2*E^(2*E^x)*Log[x] + Log[x]^2)^2","A",1
2359,1,29,29,0.5451294,"\int \frac{-2 e^{4+2 x}-4 x^2+e^{2+x} \left(8 x-2 x^2\right)}{16 x^2+16 x^3+4 x^4+e^{4+2 x} \left(16+8 x+x^2\right)+e^{2+x} \left(-32 x-24 x^2-4 x^3\right)} \, dx","Integrate[(-2*E^(4 + 2*x) - 4*x^2 + E^(2 + x)*(8*x - 2*x^2))/(16*x^2 + 16*x^3 + 4*x^4 + E^(4 + 2*x)*(16 + 8*x + x^2) + E^(2 + x)*(-32*x - 24*x^2 - 4*x^3)),x]","-\frac{2 \left(x-e^{x+2}\right)}{e^{x+2} (x+4)-2 x (x+2)}","\frac{2}{-\frac{x^2}{e^{x+2}-x}+x+4}-e^4",1,"(-2*(-E^(2 + x) + x))/(-2*x*(2 + x) + E^(2 + x)*(4 + x))","A",1
2360,1,21,29,1.0797754,"\int \frac{e^{e^x} \left(e^x \left(8+2 e^{x-x^2}\right)+e^{x-x^2} (-1+2 x)\right)+e^{e^x+x} \left(-4-e^{x-x^2}\right) \log \left(4+e^{x-x^2}\right)}{4+e^{x-x^2}} \, dx","Integrate[(E^E^x*(E^x*(8 + 2*E^(x - x^2)) + E^(x - x^2)*(-1 + 2*x)) + E^(E^x + x)*(-4 - E^(x - x^2))*Log[4 + E^(x - x^2)])/(4 + E^(x - x^2)),x]","-e^{e^x} \left(\log \left(e^{x-x^2}+4\right)-2\right)","e^{e^x} \left(2-\log \left(e^{x-x^2}+4\right)\right)-\log \left(\frac{5}{2}\right)",1,"-(E^E^x*(-2 + Log[4 + E^(x - x^2)]))","A",1
2361,1,20,21,0.0147663,"\int \frac{-1+\log (x)}{\left(60-15 e^5+3 \log (5)\right) \log ^2(x)} \, dx","Integrate[(-1 + Log[x])/((60 - 15*E^5 + 3*Log[5])*Log[x]^2),x]","\frac{x}{3 \left(20-5 e^5+\log (5)\right) \log (x)}","\frac{x}{3 \left(\log (5)-5 \left(e^5-4\right)\right) \log (x)}",1,"x/(3*(20 - 5*E^5 + Log[5])*Log[x])","A",1
2362,1,42,28,0.1322796,"\int \frac{-10 x-44 x^2-55 x^3-31 x^4-13 x^5-5 x^6+e^{2 x} \left(-192 x-320 x^2-176 x^3-80 x^4-32 x^5\right)+e^x \left(96 x+256 x^2+216 x^3+96 x^4+48 x^5+8 x^6\right)+\left(-8 x-24 x^2-18 x^3-6 x^4-4 x^5+e^{2 x} \left(-128 x-128 x^2-32 x^3-32 x^4\right)+e^x \left(64 x+128 x^2+48 x^3+32 x^4+8 x^5\right)\right) \log (x)}{4+x^2} \, dx","Integrate[(-10*x - 44*x^2 - 55*x^3 - 31*x^4 - 13*x^5 - 5*x^6 + E^(2*x)*(-192*x - 320*x^2 - 176*x^3 - 80*x^4 - 32*x^5) + E^x*(96*x + 256*x^2 + 216*x^3 + 96*x^4 + 48*x^5 + 8*x^6) + (-8*x - 24*x^2 - 18*x^3 - 6*x^4 - 4*x^5 + E^(2*x)*(-128*x - 128*x^2 - 32*x^3 - 32*x^4) + E^x*(64*x + 128*x^2 + 48*x^3 + 32*x^4 + 8*x^5))*Log[x])/(4 + x^2),x]","-x^2 (x+1) \left(x-4 e^x+1\right)^2-x^2 \left(x-4 e^x+1\right)^2 \log (x)+\log \left(x^2+4\right)","\log \left(x^2+4\right)-x \left(x-4 e^x+1\right)^2 (x+x (x+\log (x)))",1,"-(x^2*(1 + x)*(1 - 4*E^x + x)^2) - x^2*(1 - 4*E^x + x)^2*Log[x] + Log[4 + x^2]","A",1
2363,1,18,26,0.0032551,"\int \frac{-8+4 x-x^2+4 \log (x)}{4 x^2} \, dx","Integrate[(-8 + 4*x - x^2 + 4*Log[x])/(4*x^2),x]","-\frac{x}{4}+\frac{1}{x}+\log (x)-\frac{\log (x)}{x}","\frac{\frac{1}{4} \left(-x^2-x\right)-\log (x)+1}{x}+\log (x)",1,"x^(-1) - x/4 + Log[x] - Log[x]/x","A",1
2364,1,29,26,0.2087051,"\int \frac{-2 x^2+e^{2 x \log ^2(2)+2 (-5-x) \log ^2(2) \log (x)} \left(-10 e^2 \log ^2(2)-2 e^2 x \log ^2(2) \log (x)\right)}{x} \, dx","Integrate[(-2*x^2 + E^(2*x*Log[2]^2 + 2*(-5 - x)*Log[2]^2*Log[x])*(-10*E^2*Log[2]^2 - 2*E^2*x*Log[2]^2*Log[x]))/x,x]","e^{2 x \log ^2(2)+2} x^{-2 (x+5) \log ^2(2)}-x^2","-x^2+e^{2 \log ^2(2) (x-(x+5) \log (x))+2}+2",1,"-x^2 + E^(2 + 2*x*Log[2]^2)/x^(2*(5 + x)*Log[2]^2)","A",1
2365,1,64,24,0.1278629,"\int \frac{\left(-4+26 x-30 x^2\right) \log \left(2 x^2-2 x^3\right)+\left(-1+11 x-10 x^2\right) \log ^2\left(2 x^2-2 x^3\right)}{-1+x} \, dx","Integrate[((-4 + 26*x - 30*x^2)*Log[2*x^2 - 2*x^3] + (-1 + 11*x - 10*x^2)*Log[2*x^2 - 2*x^3]^2)/(-1 + x),x]","-5 x^2 \log ^2\left(2 (1-x) x^2\right)+x \log ^2\left(-2 (x-1) x^2\right)+2 \log (x-1) \log \left(2 (1-x) x^2\right)-2 \log (x-1) \log \left(-2 (x-1) x^2\right)","\left(x-5 x^2\right) \log ^2\left(\log \left(e^{2 (1-x) x^2}\right)\right)",1,"2*Log[-1 + x]*Log[2*(1 - x)*x^2] - 5*x^2*Log[2*(1 - x)*x^2]^2 - 2*Log[-1 + x]*Log[-2*(-1 + x)*x^2] + x*Log[-2*(-1 + x)*x^2]^2","B",1
2366,1,14,11,0.0015994,"\int \frac{2+9 x}{9 x^2} \, dx","Integrate[(2 + 9*x)/(9*x^2),x]","\frac{1}{9} \left(9 \log (x)-\frac{2}{x}\right)","-\frac{2}{9 x}+\log (x)+5",1,"(-2/x + 9*Log[x])/9","A",1
2367,1,32,36,0.1360091,"\int \frac{-80 x^2-40 x^4-5 x^6+e^{\frac{6 x^2}{4+x^2}} \left(-80-40 x^2-5 x^4\right)+e^{\frac{3 x^2}{4+x^2}} \left(64-160 x-64 x^2-80 x^3+4 x^4-10 x^5+\left(-16+16 x^2-x^4\right) \log (4)\right)}{80 x^2+40 x^4+5 x^6+e^{\frac{6 x^2}{4+x^2}} \left(80+40 x^2+5 x^4\right)+e^{\frac{3 x^2}{4+x^2}} \left(160 x+80 x^3+10 x^5\right)} \, dx","Integrate[(-80*x^2 - 40*x^4 - 5*x^6 + E^((6*x^2)/(4 + x^2))*(-80 - 40*x^2 - 5*x^4) + E^((3*x^2)/(4 + x^2))*(64 - 160*x - 64*x^2 - 80*x^3 + 4*x^4 - 10*x^5 + (-16 + 16*x^2 - x^4)*Log[4]))/(80*x^2 + 40*x^4 + 5*x^6 + E^((6*x^2)/(4 + x^2))*(80 + 40*x^2 + 5*x^4) + E^((3*x^2)/(4 + x^2))*(160*x + 80*x^3 + 10*x^5)),x]","\frac{1}{5} \left(-\frac{x (\log (4)-4)}{e^{3-\frac{12}{x^2+4}}+x}-5 x\right)","-x+\frac{4 \left(x-\frac{1}{4} x \log (4)\right)}{5 \left(x+e^{\frac{3 x}{x+\frac{4}{x}}}\right)}+4",1,"(-5*x - (x*(-4 + Log[4]))/(E^(3 - 12/(4 + x^2)) + x))/5","A",1
2368,0,0,22,0.1952948,"\int \frac{-4 x^2+2 x^5-4 x^3 \log (2)+2 x \log ^2(2)+\left(-4 x^2-4 x^5+\left(4+8 x^3\right) \log (2)-4 x \log ^2(2)\right) \log \left(\frac{-1-x^3+x \log (2)}{-x^2+\log (2)}\right) \log \left(\log \left(\frac{-1-x^3+x \log (2)}{-x^2+\log (2)}\right)\right)}{\left(x^3+x^6+\left(-x-2 x^4\right) \log (2)+x^2 \log ^2(2)\right) \log \left(\frac{-1-x^3+x \log (2)}{-x^2+\log (2)}\right) \log \left(\log \left(\frac{-1-x^3+x \log (2)}{-x^2+\log (2)}\right)\right)} \, dx","Integrate[(-4*x^2 + 2*x^5 - 4*x^3*Log[2] + 2*x*Log[2]^2 + (-4*x^2 - 4*x^5 + (4 + 8*x^3)*Log[2] - 4*x*Log[2]^2)*Log[(-1 - x^3 + x*Log[2])/(-x^2 + Log[2])]*Log[Log[(-1 - x^3 + x*Log[2])/(-x^2 + Log[2])]])/((x^3 + x^6 + (-x - 2*x^4)*Log[2] + x^2*Log[2]^2)*Log[(-1 - x^3 + x*Log[2])/(-x^2 + Log[2])]*Log[Log[(-1 - x^3 + x*Log[2])/(-x^2 + Log[2])]]),x]","\int \frac{-4 x^2+2 x^5-4 x^3 \log (2)+2 x \log ^2(2)+\left(-4 x^2-4 x^5+\left(4+8 x^3\right) \log (2)-4 x \log ^2(2)\right) \log \left(\frac{-1-x^3+x \log (2)}{-x^2+\log (2)}\right) \log \left(\log \left(\frac{-1-x^3+x \log (2)}{-x^2+\log (2)}\right)\right)}{\left(x^3+x^6+\left(-x-2 x^4\right) \log (2)+x^2 \log ^2(2)\right) \log \left(\frac{-1-x^3+x \log (2)}{-x^2+\log (2)}\right) \log \left(\log \left(\frac{-1-x^3+x \log (2)}{-x^2+\log (2)}\right)\right)} \, dx","\log \left(\frac{48 \log ^2\left(\log \left(\frac{1}{x^2-\log (2)}+x\right)\right)}{x^4}\right)",1,"Integrate[(-4*x^2 + 2*x^5 - 4*x^3*Log[2] + 2*x*Log[2]^2 + (-4*x^2 - 4*x^5 + (4 + 8*x^3)*Log[2] - 4*x*Log[2]^2)*Log[(-1 - x^3 + x*Log[2])/(-x^2 + Log[2])]*Log[Log[(-1 - x^3 + x*Log[2])/(-x^2 + Log[2])]])/((x^3 + x^6 + (-x - 2*x^4)*Log[2] + x^2*Log[2]^2)*Log[(-1 - x^3 + x*Log[2])/(-x^2 + Log[2])]*Log[Log[(-1 - x^3 + x*Log[2])/(-x^2 + Log[2])]]), x]","F",-1
2369,1,10,10,0.0017145,"\int -\frac{2 \log (\log (4))}{x \log ^3(-x)} \, dx","Integrate[(-2*Log[Log[4]])/(x*Log[-x]^3),x]","\frac{\log (\log (4))}{\log ^2(-x)}","\frac{\log (\log (4))}{\log ^2(-x)}",1,"Log[Log[4]]/Log[-x]^2","A",1
2370,1,30,24,0.2184498,"\int \frac{\frac{1}{27} e^{3 x} x^2+\frac{1}{3} e^{2 x} x^3+e^x x^4+x^5+e^{x+\frac{100}{\frac{e^{2 x}}{9}+\frac{2 e^x x}{3}+x^2}} \left(\frac{1}{27} e^{3 x} (1-x)+200 x+x^3-x^4+\frac{1}{9} e^{2 x} \left(3 x-3 x^2\right)+\frac{1}{3} e^x \left(200 x+3 x^2-3 x^3\right)\right)}{\frac{1}{27} e^{3 x} x^2+\frac{1}{3} e^{2 x} x^3+e^x x^4+x^5} \, dx","Integrate[((E^(3*x)*x^2)/27 + (E^(2*x)*x^3)/3 + E^x*x^4 + x^5 + E^(x + 100/(E^(2*x)/9 + (2*E^x*x)/3 + x^2))*((E^(3*x)*(1 - x))/27 + 200*x + x^3 - x^4 + (E^(2*x)*(3*x - 3*x^2))/9 + (E^x*(200*x + 3*x^2 - 3*x^3))/3))/((E^(3*x)*x^2)/27 + (E^(2*x)*x^3)/3 + E^x*x^4 + x^5),x]","27 \left(\frac{x}{27}-\frac{e^{x+\frac{900}{\left(3 x+e^x\right)^2}}}{27 x}\right)","x-\frac{e^{x+\frac{100}{\left(x+\frac{e^x}{3}\right)^2}}}{x}",1,"27*(-1/27*E^(x + 900/(E^x + 3*x)^2)/x + x/27)","A",1
2371,1,35,30,0.1102447,"\int \frac{\exp \left(-4-\frac{3-72 x+414 x^2+204 x^3+171 x^4+36 x^5+12 x^6}{e^4 \left(1-4 x+4 x^2\right)}\right) \left(-60 x+684 x^2+612 x^3+276 x^4-504 x^5-144 x^6-96 x^7+e^4 \left(1-6 x+12 x^2-8 x^3\right)\right)}{-x^2+6 x^3-12 x^4+8 x^5} \, dx","Integrate[(E^(-4 - (3 - 72*x + 414*x^2 + 204*x^3 + 171*x^4 + 36*x^5 + 12*x^6)/(E^4*(1 - 4*x + 4*x^2)))*(-60*x + 684*x^2 + 612*x^3 + 276*x^4 - 504*x^5 - 144*x^6 - 96*x^7 + E^4*(1 - 6*x + 12*x^2 - 8*x^3)))/(-x^2 + 6*x^3 - 12*x^4 + 8*x^5),x]","\frac{\exp \left(-\frac{3 \left(2 x^3+3 x^2+12 x-1\right)^2}{e^4 (1-2 x)^2}\right)}{x}","\frac{e^{-\frac{3 \left((x+1)^2+\frac{24}{4-\frac{2}{x}}\right)^2}{e^4}}}{x}",1,"1/(E^((3*(-1 + 12*x + 3*x^2 + 2*x^3)^2)/(E^4*(1 - 2*x)^2))*x)","A",1
2372,1,61,28,0.5341137,"\int \frac{8-8 e^{12}+e^8 (24-16 x)-16 x+6 x^2+e^4 \left(-24+32 x-6 x^2\right)+e^{-15+3 x^2} \left(8+e^{2 x} (2+4 x)+e^x (8+8 x)\right)+e^{2 x} \left(2+e^4 (-6-12 x)+e^{12} (-2-4 x)+4 x+e^8 (6+12 x)\right)+e^x \left(8+e^{12} (-8-8 x)-4 x^2+e^8 \left(24+16 x-4 x^2\right)+e^4 \left(-24-8 x+8 x^2\right)\right)+e^{-10+2 x^2} \left(24-24 e^4-16 x+16 x^3+e^{2 x} \left(6+e^4 (-6-12 x)+12 x\right)+e^x \left(24+e^4 (-24-24 x)+16 x-4 x^2+8 x^3\right)\right)+e^{-5+x^2} \left(24+24 e^8-32 x+6 x^2+16 x^3-8 x^4+e^4 \left(-48+32 x-16 x^3\right)+e^{2 x} \left(6+e^4 (-12-24 x)+12 x+e^8 (6+12 x)\right)+e^x \left(24+8 x-8 x^2+8 x^3+e^8 (24+24 x)+e^4 \left(-48-32 x+8 x^2-8 x^3\right)\right)\right)}{1-3 e^4+3 e^8-e^{12}+e^{-15+3 x^2}+e^{-10+2 x^2} \left(3-3 e^4\right)+e^{-5+x^2} \left(3-6 e^4+3 e^8\right)} \, dx","Integrate[(8 - 8*E^12 + E^8*(24 - 16*x) - 16*x + 6*x^2 + E^4*(-24 + 32*x - 6*x^2) + E^(-15 + 3*x^2)*(8 + E^(2*x)*(2 + 4*x) + E^x*(8 + 8*x)) + E^(2*x)*(2 + E^4*(-6 - 12*x) + E^12*(-2 - 4*x) + 4*x + E^8*(6 + 12*x)) + E^x*(8 + E^12*(-8 - 8*x) - 4*x^2 + E^8*(24 + 16*x - 4*x^2) + E^4*(-24 - 8*x + 8*x^2)) + E^(-10 + 2*x^2)*(24 - 24*E^4 - 16*x + 16*x^3 + E^(2*x)*(6 + E^4*(-6 - 12*x) + 12*x) + E^x*(24 + E^4*(-24 - 24*x) + 16*x - 4*x^2 + 8*x^3)) + E^(-5 + x^2)*(24 + 24*E^8 - 32*x + 6*x^2 + 16*x^3 - 8*x^4 + E^4*(-48 + 32*x - 16*x^3) + E^(2*x)*(6 + E^4*(-12 - 24*x) + 12*x + E^8*(6 + 12*x)) + E^x*(24 + 8*x - 8*x^2 + 8*x^3 + E^8*(24 + 24*x) + E^4*(-48 - 32*x + 8*x^2 - 8*x^3))))/(1 - 3*E^4 + 3*E^8 - E^12 + E^(-15 + 3*x^2) + E^(-10 + 2*x^2)*(3 - 3*E^4) + E^(-5 + x^2)*(3 - 6*E^4 + 3*E^8)),x]","\frac{2 \left(2 e^{x^2}+e^{x^2+x}-e^5 (x-2)+e^{x+5}-e^{x+9}-2 e^9\right)^2 x}{\left(e^{x^2}+e^5-e^9\right)^2}","2 x \left(\frac{x}{-e^{x^2-5}-1+e^4}+e^x+2\right)^2",1,"(2*(-2*E^9 + 2*E^x^2 + E^(5 + x) - E^(9 + x) + E^(x + x^2) - E^5*(-2 + x))^2*x)/(E^5 - E^9 + E^x^2)^2","B",1
2373,1,2,2,0.0001459,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log (x)",1,"Log[x]","A",1
2374,1,25,24,2.1052216,"\int \frac{64+32 x-12 x^2-4 x^3+(-32-16 x) \log (2)}{128+160 x+98 x^2+37 x^3+8 x^4+x^5+\left(-128-112 x-40 x^2-8 x^3\right) \log (2)+(32+16 x) \log ^2(2)+\left(32 x+28 x^2+10 x^3+2 x^4+\left(-16 x-8 x^2\right) \log (2)\right) \log (6+3 x)+\left(2 x^2+x^3\right) \log ^2(6+3 x)} \, dx","Integrate[(64 + 32*x - 12*x^2 - 4*x^3 + (-32 - 16*x)*Log[2])/(128 + 160*x + 98*x^2 + 37*x^3 + 8*x^4 + x^5 + (-128 - 112*x - 40*x^2 - 8*x^3)*Log[2] + (32 + 16*x)*Log[2]^2 + (32*x + 28*x^2 + 10*x^3 + 2*x^4 + (-16*x - 8*x^2)*Log[2])*Log[6 + 3*x] + (2*x^2 + x^3)*Log[6 + 3*x]^2),x]","\frac{4 x}{x^2+3 x+x \log (3 (x+2))+8-4 \log (2)}","\frac{x}{\frac{1}{4} x (x+\log (3 (x+2))+3)+2-\log (2)}",1,"(4*x)/(8 + 3*x + x^2 - 4*Log[2] + x*Log[3*(2 + x)])","A",1
2375,1,23,13,0.0032517,"\int \frac{9+6 x+x^2+\left(6 x+2 x^2\right) \log (2 x)}{9 x} \, dx","Integrate[(9 + 6*x + x^2 + (6*x + 2*x^2)*Log[2*x])/(9*x),x]","\frac{1}{9} x^2 \log (2 x)+\frac{2}{3} x \log (2 x)+\log (x)","\frac{1}{9} (x+3)^2 \log (2 x)",1,"Log[x] + (2*x*Log[2*x])/3 + (x^2*Log[2*x])/9","A",1
2376,1,22,22,0.0182325,"\int 2 e^{-2-x} \left(e^x \left(-1+\frac{e^{2+x}}{2}\right)-5 x^4+x^5\right) \, dx","Integrate[2*E^(-2 - x)*(E^x*(-1 + E^(2 + x)/2) - 5*x^4 + x^5),x]","-2 e^{-x-2} x^5-\frac{2 x}{e^2}+e^x","-2 e^{-x-2} x \left(x^4+e^x\right)+e^x+5",1,"E^x - (2*x)/E^2 - 2*E^(-2 - x)*x^5","A",1
2377,1,38,29,0.0196737,"\int \frac{337500+722400 x+4804 x^2+8 x^3+e^3 \left(5400000 x^2+36000 x^3+60 x^4\right)}{90000+600 x+x^2} \, dx","Integrate[(337500 + 722400*x + 4804*x^2 + 8*x^3 + E^3*(5400000*x^2 + 36000*x^3 + 60*x^4))/(90000 + 600*x + x^2),x]","\frac{4 \left(x^3+301 x^2+5 e^3 (x+300)^2 \left(x^2-300 x+90000\right)-89400 x-26904375\right)}{x+300}","4 \left(\left(5 e^3 x+1\right) x^2+x\right)-\frac{x}{\frac{x}{75}+4}",1,"(4*(-26904375 - 89400*x + 301*x^2 + x^3 + 5*E^3*(300 + x)^2*(90000 - 300*x + x^2)))/(300 + x)","A",1
2378,1,20,20,0.0587747,"\int \frac{-1+e^x (-5+x)-x^3+\left(-4 x^3+e^x x^4\right) \log (x)}{e^{2 x} (-5+x)+e^{2 x} x^4 \log (x)+\left(e^x (10-2 x)-2 e^x x^4 \log (x)\right) \log \left(-5+x+x^4 \log (x)\right)+\left(-5+x+x^4 \log (x)\right) \log ^2\left(-5+x+x^4 \log (x)\right)} \, dx","Integrate[(-1 + E^x*(-5 + x) - x^3 + (-4*x^3 + E^x*x^4)*Log[x])/(E^(2*x)*(-5 + x) + E^(2*x)*x^4*Log[x] + (E^x*(10 - 2*x) - 2*E^x*x^4*Log[x])*Log[-5 + x + x^4*Log[x]] + (-5 + x + x^4*Log[x])*Log[-5 + x + x^4*Log[x]]^2),x]","-\frac{1}{e^x-\log \left(x^4 \log (x)+x-5\right)}","\frac{1}{\log \left(x^4 \log (x)+x-5\right)-e^x}+2",1,"-(E^x - Log[-5 + x + x^4*Log[x]])^(-1)","A",1
2379,1,14,19,0.1549139,"\int \frac{e^{\frac{1-110 x-17 x^2+x^3}{-22+x}} \left(2419+748 x-83 x^2+2 x^3\right)}{484-44 x+x^2} \, dx","Integrate[(E^((1 - 110*x - 17*x^2 + x^3)/(-22 + x))*(2419 + 748*x - 83*x^2 + 2*x^3))/(484 - 44*x + x^2),x]","e^{x^2+5 x+\frac{1}{x-22}}","e^{x \left(x-\frac{1}{(22-x) x}+5\right)}",1,"E^((-22 + x)^(-1) + 5*x + x^2)","A",1
2380,1,33,25,0.6824928,"\int \frac{-3 e^4 x^2+2 x^4-x^4 \log \left(\frac{64}{25 x}\right)}{e^8+9 x^4+6 x^5+x^6+e^4 \left(-6 x^2-2 x^3\right)+\left(2 e^4 x^2-6 x^4-2 x^5\right) \log \left(\frac{64}{25 x}\right)+x^4 \log ^2\left(\frac{64}{25 x}\right)} \, dx","Integrate[(-3*E^4*x^2 + 2*x^4 - x^4*Log[64/(25*x)])/(E^8 + 9*x^4 + 6*x^5 + x^6 + E^4*(-6*x^2 - 2*x^3) + (2*E^4*x^2 - 6*x^4 - 2*x^5)*Log[64/(25*x)] + x^4*Log[64/(25*x)]^2),x]","-\frac{x^3}{-x^3-3 x^2+x^2 \log \left(\frac{64}{25 x}\right)+e^4}","\frac{x}{-\frac{e^4}{x^2}+x-\log \left(\frac{64}{25 x}\right)+3}",1,"-(x^3/(E^4 - 3*x^2 - x^3 + x^2*Log[64/(25*x)]))","A",1
2381,1,18,18,1.7039473,"\int \frac{9765625 x^{15} \left(30-35 x+5 x \log \left(x^2\right)\right)}{\left(2 x-3 x^2+x^2 \log \left(x^2\right)\right) \left(4-12 x+9 x^2+\left(4 x-6 x^2\right) \log \left(x^2\right)+x^2 \log ^2\left(x^2\right)\right)^5} \, dx","Integrate[(9765625*x^15*(30 - 35*x + 5*x*Log[x^2]))/((2*x - 3*x^2 + x^2*Log[x^2])*(4 - 12*x + 9*x^2 + (4*x - 6*x^2)*Log[x^2] + x^2*Log[x^2]^2)^5),x]","\frac{9765625 x^{15}}{\left(x \log \left(x^2\right)-3 x+2\right)^{10}}","\frac{9765625 x^5}{\left(\log \left(x^2\right)+\frac{2}{x}-3\right)^{10}}",1,"(9765625*x^15)/(2 - 3*x + x*Log[x^2])^10","A",1
2382,1,39,22,0.5373933,"\int \frac{-4608-768 x+120 x^2+18 x^3+(-1536-320 x) \log (4+x)+(-128-32 x) \log ^2(4+x)}{2304 x+1156 x^2+181 x^3+9 x^4+\left(768 x+288 x^2+24 x^3\right) \log (4+x)+\left(64 x+16 x^2\right) \log ^2(4+x)} \, dx","Integrate[(-4608 - 768*x + 120*x^2 + 18*x^3 + (-1536 - 320*x)*Log[4 + x] + (-128 - 32*x)*Log[4 + x]^2)/(2304*x + 1156*x^2 + 181*x^3 + 9*x^4 + (768*x + 288*x^2 + 24*x^3)*Log[4 + x] + (64*x + 16*x^2)*Log[4 + x]^2),x]","2 \left(\log \left(9 x^2+145 x+16 \log ^2(x+4)+24 x \log (x+4)+192 \log (x+4)+576\right)-\log (x)\right)","\log \left(\frac{\left(x+(x-4 (x+\log (x+4)+6))^2\right)^2}{x^2}\right)",1,"2*(-Log[x] + Log[576 + 145*x + 9*x^2 + 192*Log[4 + x] + 24*x*Log[4 + x] + 16*Log[4 + x]^2])","A",1
2383,0,0,30,14.418225,"\int \frac{2 e^{16}+2 e^{2 e^x}+8 e^{12} x+2 x^2+4 x^3+2 x^4+e^{e^x} \left(-4 e^8-4 x-8 e^4 x-4 x^2\right)+e^8 \left(4 x+12 x^2\right)+e^4 \left(8 x^2+8 x^3\right)+\left(2 e^{2 e^x+x} x \log \left(16 x^2\right)+e^{e^x} \left(-2 x-4 e^4 x-4 x^2+e^x \left(-2 e^8 x-2 x^2-4 e^4 x^2-2 x^3\right)\right) \log \left(16 x^2\right)+\left(4 e^{12} x+2 x^2+6 x^3+4 x^4+e^8 \left(2 x+12 x^2\right)+e^4 \left(8 x^2+12 x^3\right)\right) \log \left(16 x^2\right)\right) \log \left(\frac{1}{4} \log \left(16 x^2\right)\right)}{x \log \left(16 x^2\right)} \, dx","Integrate[(2*E^16 + 2*E^(2*E^x) + 8*E^12*x + 2*x^2 + 4*x^3 + 2*x^4 + E^E^x*(-4*E^8 - 4*x - 8*E^4*x - 4*x^2) + E^8*(4*x + 12*x^2) + E^4*(8*x^2 + 8*x^3) + (2*E^(2*E^x + x)*x*Log[16*x^2] + E^E^x*(-2*x - 4*E^4*x - 4*x^2 + E^x*(-2*E^8*x - 2*x^2 - 4*E^4*x^2 - 2*x^3))*Log[16*x^2] + (4*E^12*x + 2*x^2 + 6*x^3 + 4*x^4 + E^8*(2*x + 12*x^2) + E^4*(8*x^2 + 12*x^3))*Log[16*x^2])*Log[Log[16*x^2]/4])/(x*Log[16*x^2]),x]","\int \frac{2 e^{16}+2 e^{2 e^x}+8 e^{12} x+2 x^2+4 x^3+2 x^4+e^{e^x} \left(-4 e^8-4 x-8 e^4 x-4 x^2\right)+e^8 \left(4 x+12 x^2\right)+e^4 \left(8 x^2+8 x^3\right)+\left(2 e^{2 e^x+x} x \log \left(16 x^2\right)+e^{e^x} \left(-2 x-4 e^4 x-4 x^2+e^x \left(-2 e^8 x-2 x^2-4 e^4 x^2-2 x^3\right)\right) \log \left(16 x^2\right)+\left(4 e^{12} x+2 x^2+6 x^3+4 x^4+e^8 \left(2 x+12 x^2\right)+e^4 \left(8 x^2+12 x^3\right)\right) \log \left(16 x^2\right)\right) \log \left(\frac{1}{4} \log \left(16 x^2\right)\right)}{x \log \left(16 x^2\right)} \, dx","\left(\left(x+e^4\right)^2-e^{e^x}+x\right)^2 \log \left(\frac{1}{4} \log \left(16 x^2\right)\right)",1,"Integrate[(2*E^16 + 2*E^(2*E^x) + 8*E^12*x + 2*x^2 + 4*x^3 + 2*x^4 + E^E^x*(-4*E^8 - 4*x - 8*E^4*x - 4*x^2) + E^8*(4*x + 12*x^2) + E^4*(8*x^2 + 8*x^3) + (2*E^(2*E^x + x)*x*Log[16*x^2] + E^E^x*(-2*x - 4*E^4*x - 4*x^2 + E^x*(-2*E^8*x - 2*x^2 - 4*E^4*x^2 - 2*x^3))*Log[16*x^2] + (4*E^12*x + 2*x^2 + 6*x^3 + 4*x^4 + E^8*(2*x + 12*x^2) + E^4*(8*x^2 + 12*x^3))*Log[16*x^2])*Log[Log[16*x^2]/4])/(x*Log[16*x^2]), x]","F",-1
2384,1,89,29,0.0750844,"\int \frac{3840-8960 x+2560 x^2+\left(3840 x-1280 x^2\right) \log (-3+x)+\left(-7680 x+1280 x^2+\left(3840 x-1280 x^2\right) \log (-3+x)\right) \log (x)+\left(-480+640 x-160 x^2+\left(480 x-160 x^2\right) \log (x)\right) \log (\log (3))+(15-5 x) \log ^2(\log (3))}{-768 x+256 x^2} \, dx","Integrate[(3840 - 8960*x + 2560*x^2 + (3840*x - 1280*x^2)*Log[-3 + x] + (-7680*x + 1280*x^2 + (3840*x - 1280*x^2)*Log[-3 + x])*Log[x] + (-480 + 640*x - 160*x^2 + (480*x - 160*x^2)*Log[x])*Log[Log[3]] + (15 - 5*x)*Log[Log[3]]^2)/(-768*x + 256*x^2),x]","15 \text{Li}_2\left(1-\frac{x}{3}\right)+15 \text{Li}_2\left(\frac{x}{3}\right)-\frac{5}{256} \log ^2(\log (3)) \log (x)-5 x \log (x) \log (x-3)-15 \log (3) \log (x-3)+10 x \log (x)+15 \log \left(1-\frac{x}{3}\right) \log (x)-5 \log (x)-\frac{5}{8} x \log (\log (3)) \log (x)+\frac{5}{8} \log (\log (3)) \log (x)","5 \log (x) \left(x (x-\log (x-3))-\left(x-1+\frac{1}{16} \log (\log (3))\right)^2\right)",1,"-15*Log[3]*Log[-3 + x] - 5*Log[x] + 10*x*Log[x] + 15*Log[1 - x/3]*Log[x] - 5*x*Log[-3 + x]*Log[x] + (5*Log[x]*Log[Log[3]])/8 - (5*x*Log[x]*Log[Log[3]])/8 - (5*Log[x]*Log[Log[3]]^2)/256 + 15*PolyLog[2, 1 - x/3] + 15*PolyLog[2, x/3]","C",1
2385,1,25,26,0.2533618,"\int \frac{\exp \left(\exp \left(\frac{2-2 x+2 x^2+\left(-5+2 e+2 x^2\right) \log (x)}{2 \log (x)}\right)+\frac{2-2 x+2 x^2+\left(-5+2 e+2 x^2\right) \log (x)}{2 \log (x)}\right) \left(-1+x-x^2+\left(-x+2 x^2\right) \log (x)+2 x^2 \log ^2(x)\right)}{x \log ^2(x)} \, dx","Integrate[(E^(E^((2 - 2*x + 2*x^2 + (-5 + 2*E + 2*x^2)*Log[x])/(2*Log[x])) + (2 - 2*x + 2*x^2 + (-5 + 2*E + 2*x^2)*Log[x])/(2*Log[x]))*(-1 + x - x^2 + (-x + 2*x^2)*Log[x] + 2*x^2*Log[x]^2))/(x*Log[x]^2),x]","e^{e^{x^2+\frac{x^2-x+1}{\log (x)}+e-\frac{5}{2}}}","e^{e^{x^2+\frac{(1-x)^2+x}{\log (x)}+e-\frac{5}{2}}}",1,"E^E^(-5/2 + E + x^2 + (1 - x + x^2)/Log[x])","A",1
2386,1,23,23,0.0352773,"\int \frac{2+(2+4 x) \log (x)}{\left(81 x-36 x^2+4 x^3+\left(108 x-24 x^2\right) \log ^2(4)+\left(54 x-4 x^2\right) \log ^4(4)+12 x \log ^6(4)+x \log ^8(4)\right) \log (x)+\left(-18 x+4 x^2-12 x \log ^2(4)-2 x \log ^4(4)\right) \log (x) \log (x \log (x))+x \log (x) \log ^2(x \log (x))} \, dx","Integrate[(2 + (2 + 4*x)*Log[x])/((81*x - 36*x^2 + 4*x^3 + (108*x - 24*x^2)*Log[4]^2 + (54*x - 4*x^2)*Log[4]^4 + 12*x*Log[4]^6 + x*Log[4]^8)*Log[x] + (-18*x + 4*x^2 - 12*x*Log[4]^2 - 2*x*Log[4]^4)*Log[x]*Log[x*Log[x]] + x*Log[x]*Log[x*Log[x]]^2),x]","-\frac{2}{2 x+\log (x \log (x))-\left(3+\log ^2(4)\right)^2}","\frac{2}{-2 x-\log (x \log (x))+\left(3+\log ^2(4)\right)^2}",1,"-2/(2*x - (3 + Log[4]^2)^2 + Log[x*Log[x]])","A",1
2387,1,27,25,1.2623544,"\int \frac{-4 \log ^2(2 x)+e^{-e^{\frac{6 x^2}{\log (2 x)}}+2 x} \left((1+2 x) \log ^2(2 x)+e^{\frac{6 x^2}{\log (2 x)}} \left(6 x^2-12 x^2 \log (2 x)\right)\right)}{\log ^2(2 x)} \, dx","Integrate[(-4*Log[2*x]^2 + E^(-E^((6*x^2)/Log[2*x]) + 2*x)*((1 + 2*x)*Log[2*x]^2 + E^((6*x^2)/Log[2*x])*(6*x^2 - 12*x^2*Log[2*x])))/Log[2*x]^2,x]","x e^{2 x-e^{\frac{6 x^2}{\log (2 x)}}}-4 x","x \left(e^{2 x-e^{\frac{6 x^2}{\log (2 x)}}}-4\right)",1,"-4*x + E^(-E^((6*x^2)/Log[2*x]) + 2*x)*x","A",1
2388,1,25,26,0.6324353,"\int \frac{e^{-4 x/9} \left(e^{4 x/9} \left(e^{25} x-5 e^{20} x^2+10 e^{15} x^3-10 e^{10} x^4+5 e^5 x^5-x^6\right) \log (x)+\left(324 e^5-324 x\right) \log ^3(\log (x))+\left(324 x-36 e^5 x+36 x^2\right) \log (x) \log ^4(\log (x))\right)}{\left(e^{25} x-5 e^{20} x^2+10 e^{15} x^3-10 e^{10} x^4+5 e^5 x^5-x^6\right) \log (x)} \, dx","Integrate[(E^((4*x)/9)*(E^25*x - 5*E^20*x^2 + 10*E^15*x^3 - 10*E^10*x^4 + 5*E^5*x^5 - x^6)*Log[x] + (324*E^5 - 324*x)*Log[Log[x]]^3 + (324*x - 36*E^5*x + 36*x^2)*Log[x]*Log[Log[x]]^4)/(E^((4*x)/9)*(E^25*x - 5*E^20*x^2 + 10*E^15*x^3 - 10*E^10*x^4 + 5*E^5*x^5 - x^6)*Log[x]),x]","x+\frac{81 e^{-4 x/9} \log ^4(\log (x))}{\left(e^5-x\right)^4}","x+\frac{81 e^{-4 x/9} \log ^4(\log (x))}{\left(x-e^5\right)^4}+3",1,"x + (81*Log[Log[x]]^4)/(E^((4*x)/9)*(E^5 - x)^4)","A",1
2389,1,26,21,0.0529274,"\int \left(-240 x+840 x^2-320 x^3+e^{-4+x} \left(360 x^2-40 x^3-40 x^4\right)\right) \, dx","Integrate[-240*x + 840*x^2 - 320*x^3 + E^(-4 + x)*(360*x^2 - 40*x^3 - 40*x^4),x]","-\frac{40 (x-3) x^2 \left(e^x x+e^4 (2 x-1)\right)}{e^4}","40 (3-x) x^2 \left(\left(e^{x-4}+2\right) x-1\right)",1,"(-40*(-3 + x)*x^2*(E^x*x + E^4*(-1 + 2*x)))/E^4","A",1
2390,1,21,24,0.1760993,"\int \log ^{1-x}(2) \left(-10+66 x-120 x^2+64 x^3+\left(-1+10 x-33 x^2+40 x^3-16 x^4\right) \log (\log (2))\right) \, dx","Integrate[Log[2]^(1 - x)*(-10 + 66*x - 120*x^2 + 64*x^3 + (-1 + 10*x - 33*x^2 + 40*x^3 - 16*x^4)*Log[Log[2]]),x]","\left(4 x^2-5 x+1\right)^2 \log ^{1-x}(2)","\left((1-2 x)^2-x\right)^2 \log ^{1-x}(2)+1",1,"(1 - 5*x + 4*x^2)^2*Log[2]^(1 - x)","A",1
2391,0,0,23,1.4288057,"\int \frac{e^x \left(6+24 x-6 x^2-6 x \log (3)\right)+6 e^x x \log (x)}{-5 x+e^x \left(10 x-2 x^2-2 x \log (3)\right)+2 e^x x \log (x)} \, dx","Integrate[(E^x*(6 + 24*x - 6*x^2 - 6*x*Log[3]) + 6*E^x*x*Log[x])/(-5*x + E^x*(10*x - 2*x^2 - 2*x*Log[3]) + 2*E^x*x*Log[x]),x]","\int \frac{e^x \left(6+24 x-6 x^2-6 x \log (3)\right)+6 e^x x \log (x)}{-5 x+e^x \left(10 x-2 x^2-2 x \log (3)\right)+2 e^x x \log (x)} \, dx","3 \log \left(2 e^x (-x+\log (x)+5-\log (3))-5\right)+1",1,"Integrate[(E^x*(6 + 24*x - 6*x^2 - 6*x*Log[3]) + 6*E^x*x*Log[x])/(-5*x + E^x*(10*x - 2*x^2 - 2*x*Log[3]) + 2*E^x*x*Log[x]), x]","F",-1
2392,1,25,23,0.0988525,"\int \frac{-1665+570 x-240 x^2+720 x^3-285 x^4+30 x^5+\left(60-300 x+435 x^2-150 x^3+15 x^4\right) \log (x)}{4-20 x+29 x^2-10 x^3+x^4} \, dx","Integrate[(-1665 + 570*x - 240*x^2 + 720*x^3 - 285*x^4 + 30*x^5 + (60 - 300*x + 435*x^2 - 150*x^3 + 15*x^4)*Log[x])/(4 - 20*x + 29*x^2 - 10*x^3 + x^4),x]","15 \left(x^2+\frac{5 (x-5)}{x^2-5 x+2}+x \log (x)\right)","15 \left(\frac{5}{x+\frac{2}{x-5}}+x (x+\log (x))+2\right)",1,"15*(x^2 + (5*(-5 + x))/(2 - 5*x + x^2) + x*Log[x])","A",1
2393,1,27,18,0.0033509,"\int \frac{1}{4} \left(-267+510 x+e^3 (-4+170 x)\right) \, dx","Integrate[(-267 + 510*x + E^3*(-4 + 170*x))/4,x]","\frac{1}{4} \left(85 e^3 x^2+255 x^2-4 e^3 x-267 x\right)","\left(\frac{85 x}{4}-1\right) \left(e^3 x+3 x-3\right)",1,"(-267*x - 4*E^3*x + 255*x^2 + 85*E^3*x^2)/4","A",1
2394,1,16,19,0.0054597,"\int \frac{1953125+4 x-781250 x^2-2 x^3}{390625 x+x^2} \, dx","Integrate[(1953125 + 4*x - 781250*x^2 - 2*x^3)/(390625*x + x^2),x]","-x^2+5 \log (x)-\log (x+390625)","-x^2+5 (\log (x)+5)-\log (x+390625)+2",1,"-x^2 + 5*Log[x] - Log[390625 + x]","A",1
2395,1,25,24,0.336288,"\int \frac{6-20 x-5 x^2+e^{e^x} \left(-3-e^x x\right)+\left(-2+e^{e^x}+5 x+x^2\right) \log \left(\frac{5}{-4 x^3+2 e^{e^x} x^3+10 x^4+2 x^5}\right)}{-2+e^{e^x}+5 x+x^2} \, dx","Integrate[(6 - 20*x - 5*x^2 + E^E^x*(-3 - E^x*x) + (-2 + E^E^x + 5*x + x^2)*Log[5/(-4*x^3 + 2*E^E^x*x^3 + 10*x^4 + 2*x^5)])/(-2 + E^E^x + 5*x + x^2),x]","x \log \left(\frac{5}{2 x^3 \left(x^2+5 x+e^{e^x}-2\right)}\right)","x \log \left(\frac{5}{2 x^3 \left(x (x+5)+e^{e^x}-2\right)}\right)",1,"x*Log[5/(2*x^3*(-2 + E^E^x + 5*x + x^2))]","A",1
2396,1,14,26,0.0894986,"\int \frac{-5+e^{2 x}+e^x (5-4 x)-4 x+4 x^2}{1+e^{2 x}+e^x (2-4 x)-4 x+4 x^2} \, dx","Integrate[(-5 + E^(2*x) + E^x*(5 - 4*x) - 4*x + 4*x^2)/(1 + E^(2*x) + E^x*(2 - 4*x) - 4*x + 4*x^2),x]","x-\frac{3}{-2 x+e^x+1}","\frac{3 x}{x \left(2 x-e^x\right)-x}+x-\log (4)",1,"-3/(1 + E^x - 2*x) + x","A",1
2397,1,19,21,0.030226,"\int \frac{e^2 \left(-3 x+x^2\right)-\frac{e^3 (-9-3 x) x \log (3+x)}{-3+x}+e^2 \left(-9 x+x^3\right) \log (3+x)}{\left(-9 x+x^3\right) \log (3+x)} \, dx","Integrate[(E^2*(-3*x + x^2) - (E^3*(-9 - 3*x)*x*Log[3 + x])/(-3 + x) + E^2*(-9*x + x^3)*Log[3 + x])/((-9*x + x^3)*Log[3 + x]),x]","e^2 \left(x-\frac{3 e}{x-3}+\log (\log (x+3))\right)","e^2 \left(\frac{e x}{3-x}+x+\log (\log (x+3))\right)",1,"E^2*((-3*E)/(-3 + x) + x + Log[Log[3 + x]])","A",1
2398,1,28,28,0.2011104,"\int \frac{-4 x \log (x)+4 e^{2 x+4 e^{2 x} x^2} x^2 (8+8 x) \log (x)+\left(2 x+e^{4 e^{2 x} x^2} (-2-2 \log (x))+2 x \log (x)\right) \log \left(e^{8 e^{2 x} x^2}-2 e^{4 e^{2 x} x^2} x+x^2\right)}{e^{4 e^{2 x} x^2} x^2 \log ^2(x)-x^3 \log ^2(x)} \, dx","Integrate[(-4*x*Log[x] + 4*E^(2*x + 4*E^(2*x)*x^2)*x^2*(8 + 8*x)*Log[x] + (2*x + E^(4*E^(2*x)*x^2)*(-2 - 2*Log[x]) + 2*x*Log[x])*Log[E^(8*E^(2*x)*x^2) - 2*E^(4*E^(2*x)*x^2)*x + x^2])/(E^(4*E^(2*x)*x^2)*x^2*Log[x]^2 - x^3*Log[x]^2),x]","\frac{2 \log \left(\left(e^{4 e^{2 x} x^2}-x\right)^2\right)}{x \log (x)}","\frac{2 \log \left(\left(e^{4 e^{2 x} x^2}-x\right)^2\right)}{x \log (x)}",1,"(2*Log[(E^(4*E^(2*x)*x^2) - x)^2])/(x*Log[x])","A",1
2399,1,41,21,5.1984927,"\int \frac{-80000 x+120000 x^2-60000 x^3+10000 x^4+\left(1024-4096 x+7168 x^2-7168 x^3+4480 x^4-1792 x^5+448 x^6-64 x^7+4 x^8\right) \log (x)+\left(1024-4096 x+7168 x^2-7168 x^3+4480 x^4-1792 x^5+448 x^6-64 x^7+4 x^8\right) \log (2 x)}{641601 x-563904 x^2+546832 x^3-326832 x^4+149270 x^5-54208 x^6+13552 x^7-1936 x^8+121 x^9+\left(-25632 x+62528 x^2-69424 x^3+49424 x^4-25890 x^5+9856 x^6-2464 x^7+352 x^8-22 x^9\right) \log (x) \log (2 x)+\left(256 x-1024 x^2+1792 x^3-1792 x^4+1120 x^5-448 x^6+112 x^7-16 x^8+x^9\right) \log ^2(x) \log ^2(2 x)} \, dx","Integrate[(-80000*x + 120000*x^2 - 60000*x^3 + 10000*x^4 + (1024 - 4096*x + 7168*x^2 - 7168*x^3 + 4480*x^4 - 1792*x^5 + 448*x^6 - 64*x^7 + 4*x^8)*Log[x] + (1024 - 4096*x + 7168*x^2 - 7168*x^3 + 4480*x^4 - 1792*x^5 + 448*x^6 - 64*x^7 + 4*x^8)*Log[2*x])/(641601*x - 563904*x^2 + 546832*x^3 - 326832*x^4 + 149270*x^5 - 54208*x^6 + 13552*x^7 - 1936*x^8 + 121*x^9 + (-25632*x + 62528*x^2 - 69424*x^3 + 49424*x^4 - 25890*x^5 + 9856*x^6 - 2464*x^7 + 352*x^8 - 22*x^9)*Log[x]*Log[2*x] + (256*x - 1024*x^2 + 1792*x^3 - 1792*x^4 + 1120*x^5 - 448*x^6 + 112*x^7 - 16*x^8 + x^9)*Log[x]^2*Log[2*x]^2),x]","-\frac{4 (x-2)^4}{-11 x^4+88 x^3-264 x^2+352 x+(x-2)^4 \log (x) \log (2 x)-801}","\frac{4}{\frac{625}{(x-2)^4}-\log (x) \log (2 x)+11}",1,"(-4*(-2 + x)^4)/(-801 + 352*x - 264*x^2 + 88*x^3 - 11*x^4 + (-2 + x)^4*Log[x]*Log[2*x])","A",1
2400,1,47,34,0.0729306,"\int \frac{-8 x^2+\left(4 x^2-4 x^5\right) \log (x)+\left(8 x+\left(-4 x+4 x^2\right) \log (x)\right) \log \left(\frac{3 \log (5) \log ^2(x)}{x}\right)-4 x \log (x) \log ^2\left(\frac{3 \log (5) \log ^2(x)}{x}\right)}{\left(9 x^4+6 x^6+x^8\right) \log (x)+\left(12 x^3+4 x^5\right) \log (x) \log \left(\frac{3 \log (5) \log ^2(x)}{x}\right)+\left(-2 x^2-2 x^4\right) \log (x) \log ^2\left(\frac{3 \log (5) \log ^2(x)}{x}\right)-4 x \log (x) \log ^3\left(\frac{3 \log (5) \log ^2(x)}{x}\right)+\log (x) \log ^4\left(\frac{3 \log (5) \log ^2(x)}{x}\right)} \, dx","Integrate[(-8*x^2 + (4*x^2 - 4*x^5)*Log[x] + (8*x + (-4*x + 4*x^2)*Log[x])*Log[(3*Log[5]*Log[x]^2)/x] - 4*x*Log[x]*Log[(3*Log[5]*Log[x]^2)/x]^2)/((9*x^4 + 6*x^6 + x^8)*Log[x] + (12*x^3 + 4*x^5)*Log[x]*Log[(3*Log[5]*Log[x]^2)/x] + (-2*x^2 - 2*x^4)*Log[x]*Log[(3*Log[5]*Log[x]^2)/x]^2 - 4*x*Log[x]*Log[(3*Log[5]*Log[x]^2)/x]^3 + Log[x]*Log[(3*Log[5]*Log[x]^2)/x]^4),x]","-\frac{2 x^2}{-x^4-3 x^2-2 x \log \left(\frac{3 \log (5) \log ^2(x)}{x}\right)+\log ^2\left(\frac{3 \log (5) \log ^2(x)}{x}\right)}","\frac{2}{x^2-\frac{\left(\log \left(\frac{3 \log (5) \log ^2(x)}{x}\right)-x\right)^2}{x^2}+4}+2",1,"(-2*x^2)/(-3*x^2 - x^4 - 2*x*Log[(3*Log[5]*Log[x]^2)/x] + Log[(3*Log[5]*Log[x]^2)/x]^2)","A",1
2401,1,24,24,0.2411002,"\int \frac{e^{5+e^{\frac{2-x \log (3)}{x}}-3 x+3 x \log (x)} \left(-2 e^{\frac{2-x \log (3)}{x}}+3 x^2 \log (x)\right)}{x^2} \, dx","Integrate[(E^(5 + E^((2 - x*Log[3])/x) - 3*x + 3*x*Log[x])*(-2*E^((2 - x*Log[3])/x) + 3*x^2*Log[x]))/x^2,x]","e^{-3 x+\frac{e^{2/x}}{3}+5} x^{3 x}","e^{\frac{e^{2/x}}{3}-3 x (1-\log (x))+5}",1,"E^(5 + E^(2/x)/3 - 3*x)*x^(3*x)","A",1
2402,1,25,25,2.008519,"\int \frac{\exp \left(\frac{e^{1+x}}{2 x^6}+e^{\frac{e^{1+x}}{2 x^6}} \left(16-8 x-7 x^2+2 x^3+x^4\right)\right) \left(-16 x^7-28 x^8+12 x^9+8 x^{10}+e^{1+x} \left(-96+64 x+34 x^2-19 x^3-4 x^4+x^5\right)\right)}{2 x^7} \, dx","Integrate[(E^(E^(1 + x)/(2*x^6) + E^(E^(1 + x)/(2*x^6))*(16 - 8*x - 7*x^2 + 2*x^3 + x^4))*(-16*x^7 - 28*x^8 + 12*x^9 + 8*x^10 + E^(1 + x)*(-96 + 64*x + 34*x^2 - 19*x^3 - 4*x^4 + x^5)))/(2*x^7),x]","e^{e^{\frac{e^{x+1}}{2 x^6}} \left(x^2+x-4\right)^2}","e^{e^{\frac{e^{x+1}}{2 x^6}} \left(x^2+x-4\right)^2}",1,"E^(E^(E^(1 + x)/(2*x^6))*(-4 + x + x^2)^2)","A",1
2403,1,38,28,0.0248304,"\int \frac{24+194 x+196 x^2-e x^2+(144+168 x) \log (x)}{2 e x} \, dx","Integrate[(24 + 194*x + 196*x^2 - E*x^2 + (144 + 168*x)*Log[x])/(2*E*x),x]","\frac{\frac{1}{2} (196-e) x^2+26 x+168 x \log (x)+2 (6 \log (x)+1)^2}{2 e}","\frac{-x+(x+6 (x+\log (x))+1)^2-4}{e}-\frac{x^2}{4}",1,"(26*x + ((196 - E)*x^2)/2 + 168*x*Log[x] + 2*(1 + 6*Log[x])^2)/(2*E)","A",1
2404,1,63,28,0.4181624,"\int \frac{\left(6-2 e^x x\right)^5 \left(-6 e^x x+e^{2 x} \left(7 x^2+5 x^3\right)\right)+\left(-6 x+3 x^2\right) \log (4)+e^x \left(2 x^2-x^3\right) \log (4)}{-27 e^x+9 e^{2 x} x} \, dx","Integrate[((6 - 2*E^x*x)^5*(-6*E^x*x + E^(2*x)*(7*x^2 + 5*x^3)) + (-6*x + 3*x^2)*Log[4] + E^x*(2*x^2 - x^3)*Log[4])/(-27*E^x + 9*E^(2*x)*x),x]","\frac{1}{9} x^2 \left(-32 e^{5 x} x^5+480 e^{4 x} x^4-2880 e^{3 x} x^3+8640 e^{2 x} x^2-12960 e^x x+e^{-x} \log (4)+7776\right)","\frac{1}{9} x^2 \left(32 \left(3-e^x x\right)^5+e^{-x} \log (4)\right)",1,"(x^2*(7776 - 12960*E^x*x + 8640*E^(2*x)*x^2 - 2880*E^(3*x)*x^3 + 480*E^(4*x)*x^4 - 32*E^(5*x)*x^5 + Log[4]/E^x))/9","B",1
2405,1,65,29,0.3425623,"\int \frac{\exp \left(\frac{x^2+x \log (x)}{-x+\log \left(\frac{e^6 \left(9 x^2-6 x^3+x^4\right)+e^3 \left(-6 x+2 x^2\right) \log (x)+\log ^2(x)}{e^6 x^2}\right)}\right) \left(-2 x+e^3 \left(3 x^2-x^4\right)+\left(-2+x-x^2-2 e^3 x^2\right) \log (x)+2 \log ^2(x)+\left(e^3 \left(-3 x-5 x^2+2 x^3\right)+\left(1+2 x+e^3 \left(-3 x+x^2\right)\right) \log (x)+\log ^2(x)\right) \log \left(\frac{e^6 \left(9 x^2-6 x^3+x^4\right)+e^3 \left(-6 x+2 x^2\right) \log (x)+\log ^2(x)}{e^6 x^2}\right)\right)}{e^3 \left(-3 x^3+x^4\right)+x^2 \log (x)+\left(e^3 \left(6 x^2-2 x^3\right)-2 x \log (x)\right) \log \left(\frac{e^6 \left(9 x^2-6 x^3+x^4\right)+e^3 \left(-6 x+2 x^2\right) \log (x)+\log ^2(x)}{e^6 x^2}\right)+\left(e^3 \left(-3 x+x^2\right)+\log (x)\right) \log ^2\left(\frac{e^6 \left(9 x^2-6 x^3+x^4\right)+e^3 \left(-6 x+2 x^2\right) \log (x)+\log ^2(x)}{e^6 x^2}\right)} \, dx","Integrate[(E^((x^2 + x*Log[x])/(-x + Log[(E^6*(9*x^2 - 6*x^3 + x^4) + E^3*(-6*x + 2*x^2)*Log[x] + Log[x]^2)/(E^6*x^2)]))*(-2*x + E^3*(3*x^2 - x^4) + (-2 + x - x^2 - 2*E^3*x^2)*Log[x] + 2*Log[x]^2 + (E^3*(-3*x - 5*x^2 + 2*x^3) + (1 + 2*x + E^3*(-3*x + x^2))*Log[x] + Log[x]^2)*Log[(E^6*(9*x^2 - 6*x^3 + x^4) + E^3*(-6*x + 2*x^2)*Log[x] + Log[x]^2)/(E^6*x^2)]))/(E^3*(-3*x^3 + x^4) + x^2*Log[x] + (E^3*(6*x^2 - 2*x^3) - 2*x*Log[x])*Log[(E^6*(9*x^2 - 6*x^3 + x^4) + E^3*(-6*x + 2*x^2)*Log[x] + Log[x]^2)/(E^6*x^2)] + (E^3*(-3*x + x^2) + Log[x])*Log[(E^6*(9*x^2 - 6*x^3 + x^4) + E^3*(-6*x + 2*x^2)*Log[x] + Log[x]^2)/(E^6*x^2)]^2),x]","x^{\frac{x}{\log \left(\frac{\left(e^3 (x-3) x+\log (x)\right)^2}{e^6 x^2}\right)-x}} \exp \left(\frac{x^2}{\log \left(\frac{\left(e^3 (x-3) x+\log (x)\right)^2}{e^6 x^2}\right)-x}\right)","\exp \left(\frac{x (x+\log (x))}{\log \left(\left(x+\frac{\log (x)}{e^3 x}-3\right)^2\right)-x}\right)",1,"E^(x^2/(-x + Log[(E^3*(-3 + x)*x + Log[x])^2/(E^6*x^2)]))*x^(x/(-x + Log[(E^3*(-3 + x)*x + Log[x])^2/(E^6*x^2)]))","B",1
2406,1,21,25,0.1017995,"\int \frac{e^{\frac{1}{5} x^2 \log (x) \log \left(\log \left(-\frac{x}{20+5 x}\right)\right)} \left(4 x \log (x)+\left(\left(4 x+x^2\right) \log \left(-\frac{x}{20+5 x}\right)+\left(8 x+2 x^2\right) \log (x) \log \left(-\frac{x}{20+5 x}\right)\right) \log \left(\log \left(-\frac{x}{20+5 x}\right)\right)\right)}{(20+5 x) \log \left(-\frac{x}{20+5 x}\right)} \, dx","Integrate[(E^((x^2*Log[x]*Log[Log[-(x/(20 + 5*x))]])/5)*(4*x*Log[x] + ((4*x + x^2)*Log[-(x/(20 + 5*x))] + (8*x + 2*x^2)*Log[x]*Log[-(x/(20 + 5*x))])*Log[Log[-(x/(20 + 5*x))]]))/((20 + 5*x)*Log[-(x/(20 + 5*x))]),x]","x^{\frac{1}{5} x^2 \log \left(\log \left(-\frac{x}{5 (x+4)}\right)\right)}","e^{\frac{1}{5} x^2 \log (x) \log \left(\log \left(\frac{x}{5 (-x-4)}\right)\right)}",1,"x^((x^2*Log[Log[-1/5*x/(4 + x)]])/5)","A",1
2407,1,12,14,0.0057757,"\int \frac{4 e^{-58-4 x} (-2-4 x)}{x^3} \, dx","Integrate[(4*E^(-58 - 4*x)*(-2 - 4*x))/x^3,x]","\frac{4 e^{-4 x-58}}{x^2}","\frac{4 e^{-4 x-58}}{x^2}+10",1,"(4*E^(-58 - 4*x))/x^2","A",1
2408,1,9,21,0.0134792,"\int -\frac{2}{2 x+x \log \left(x^2\right)} \, dx","Integrate[-2/(2*x + x*Log[x^2]),x]","-\log \left(\log \left(x^2\right)+2\right)","3-\log \left(\frac{\log \left(x^2\right)+2}{16-e^3}\right)",1,"-Log[2 + Log[x^2]]","A",1
2409,1,290,11,0.1729781,"\int -\frac{4 \log (4) \log \left(\frac{-3 x^2+\log (4)}{x^2}\right)}{-3 x^3+x \log (4)} \, dx","Integrate[(-4*Log[4]*Log[(-3*x^2 + Log[4])/x^2])/(-3*x^3 + x*Log[4]),x]","\frac{2 \log ^2(64) \text{Li}_2\left(1-\frac{\log (4)}{3 x^2}\right)+18 \log ^2(4) \text{Li}_2\left(\frac{\log (4)-x \sqrt{\log (64)}}{\log (16)}\right)+18 \log ^2(4) \text{Li}_2\left(\frac{\sqrt{\log (64)} x+\log (4)}{\log (16)}\right)-12 \log (4) \log (64) \text{Li}_2\left(-\frac{x \sqrt{\log (64)}}{\log (4)}\right)-12 \log (4) \log (64) \text{Li}_2\left(\frac{x \sqrt{\log (64)}}{\log (4)}\right)+2 \log ^2(64) \log \left(\frac{\log (4)}{3 x^2}\right) \log \left(\frac{\log (4)}{x^2}-3\right)+6 \log (4) \log (64) \log \left(\frac{\log (4)}{x^2}-3\right) \log \left(\log (4)-x \sqrt{\log (64)}\right)+6 \log (4) \log (64) \log \left(\frac{\log (4)}{x^2}-3\right) \log \left(x \sqrt{\log (64)}+\log (4)\right)-9 \log ^2(4) \log ^2\left(\log (4)-x \sqrt{\log (64)}\right)-18 \log ^2(4) \log (\log (16)) \log \left(\log (4)-x \sqrt{\log (64)}\right)-9 \log ^2(4) \log ^2\left(x \sqrt{\log (64)}+\log (4)\right)-18 \log ^2(4) \log (\log (16)) \log \left(x \sqrt{\log (64)}+\log (4)\right)+24 \log (4) \log (64) \log (\log (4)) \log (x)}{\log ^2(64)}","\log ^2\left(\frac{\log (4)}{x^2}-3\right)",1,"(24*Log[4]*Log[64]*Log[x]*Log[Log[4]] + 2*Log[64]^2*Log[Log[4]/(3*x^2)]*Log[-3 + Log[4]/x^2] + 6*Log[4]*Log[64]*Log[-3 + Log[4]/x^2]*Log[Log[4] - x*Sqrt[Log[64]]] - 18*Log[4]^2*Log[Log[16]]*Log[Log[4] - x*Sqrt[Log[64]]] - 9*Log[4]^2*Log[Log[4] - x*Sqrt[Log[64]]]^2 + 6*Log[4]*Log[64]*Log[-3 + Log[4]/x^2]*Log[Log[4] + x*Sqrt[Log[64]]] - 18*Log[4]^2*Log[Log[16]]*Log[Log[4] + x*Sqrt[Log[64]]] - 9*Log[4]^2*Log[Log[4] + x*Sqrt[Log[64]]]^2 + 2*Log[64]^2*PolyLog[2, 1 - Log[4]/(3*x^2)] + 18*Log[4]^2*PolyLog[2, (Log[4] - x*Sqrt[Log[64]])/Log[16]] + 18*Log[4]^2*PolyLog[2, (Log[4] + x*Sqrt[Log[64]])/Log[16]] - 12*Log[4]*Log[64]*PolyLog[2, -((x*Sqrt[Log[64]])/Log[4])] - 12*Log[4]*Log[64]*PolyLog[2, (x*Sqrt[Log[64]])/Log[4]])/Log[64]^2","C",0
2410,1,14,18,0.0032678,"\int \frac{-2304+2304 e^{100}-864 e^{200}+144 e^{300}-9 e^{400}}{512 x^3} \, dx","Integrate[(-2304 + 2304*E^100 - 864*E^200 + 144*E^300 - 9*E^400)/(512*x^3),x]","\frac{9 \left(e^{100}-4\right)^4}{1024 x^2}","\frac{9 \left(2-\frac{e^{100}}{2}\right)^4}{64 x^2}",1,"(9*(-4 + E^100)^4)/(1024*x^2)","A",1
2411,1,29,17,0.0652331,"\int \frac{4+\left(4 x-2 x^3\right) \log (x)-4 x^2 \log (x) \log (\log (x))-2 x \log (x) \log ^2(\log (x))}{\left(\left(4 x^2+x^3+2 x^4\right) \log (x)+\left(4 x+2 x^2+4 x^3\right) \log (x) \log (\log (x))+\left(x+2 x^2\right) \log (x) \log ^2(\log (x))\right) \log ^2\left(\frac{-4-x-2 x^2+(-1-2 x) \log (\log (x))}{x+\log (\log (x))}\right)} \, dx","Integrate[(4 + (4*x - 2*x^3)*Log[x] - 4*x^2*Log[x]*Log[Log[x]] - 2*x*Log[x]*Log[Log[x]]^2)/(((4*x^2 + x^3 + 2*x^4)*Log[x] + (4*x + 2*x^2 + 4*x^3)*Log[x]*Log[Log[x]] + (x + 2*x^2)*Log[x]*Log[Log[x]]^2)*Log[(-4 - x - 2*x^2 + (-1 - 2*x)*Log[Log[x]])/(x + Log[Log[x]])]^2),x]","\frac{1}{\log \left(-\frac{2 x^2+x+2 x \log (\log (x))+\log (\log (x))+4}{x+\log (\log (x))}\right)}","\frac{1}{\log \left(-2 x-\frac{4}{x+\log (\log (x))}-1\right)}",1,"Log[-((4 + x + 2*x^2 + Log[Log[x]] + 2*x*Log[Log[x]])/(x + Log[Log[x]]))]^(-1)","A",1
2412,1,18,20,0.0392916,"\int \frac{2}{-10+5 x+(-2+x) \log \left(\frac{\left(100-100 x+25 x^2\right) \log (5)}{16 e^5}\right)} \, dx","Integrate[2/(-10 + 5*x + (-2 + x)*Log[((100 - 100*x + 25*x^2)*Log[5])/(16*E^5)]),x]","\log \left(\log \left(\frac{25 (x-2)^2 \log (5)}{16 e^5}\right)+5\right)","\log \left(2 \left(\log \left(\frac{25 (x-2)^2 \log (5)}{16 e^5}\right)+5\right)\right)",1,"Log[5 + Log[(25*(-2 + x)^2*Log[5])/(16*E^5)]]","A",1
2413,1,73,27,0.0356479,"\int \left(128 e^9 x+6144 e^{22/3} x^3+98304 e^{17/3} x^5+524288 e^4 x^7-256 e^{4+7 e^{16}} x^7+8 e^{4+8 e^{16}} x^7+e^{e^{16}} \left(-64 e^9 x-6144 e^{22/3} x^3-147456 e^{17/3} x^5-1048576 e^4 x^7\right)+e^{3 e^{16}} \left(-384 e^{22/3} x^3-30720 e^{17/3} x^5-458752 e^4 x^7\right)+e^{5 e^{16}} \left(-576 e^{17/3} x^5-28672 e^4 x^7\right)+e^{6 e^{16}} \left(24 e^{17/3} x^5+3584 e^4 x^7\right)+e^{4 e^{16}} \left(24 e^{22/3} x^3+5760 e^{17/3} x^5+143360 e^4 x^7\right)+e^{2 e^{16}} \left(8 e^9 x+2304 e^{22/3} x^3+92160 e^{17/3} x^5+917504 e^4 x^7\right)\right) \, dx","Integrate[128*E^9*x + 6144*E^(22/3)*x^3 + 98304*E^(17/3)*x^5 + 524288*E^4*x^7 - 256*E^(4 + 7*E^16)*x^7 + 8*E^(4 + 8*E^16)*x^7 + E^E^16*(-64*E^9*x - 6144*E^(22/3)*x^3 - 147456*E^(17/3)*x^5 - 1048576*E^4*x^7) + E^(3*E^16)*(-384*E^(22/3)*x^3 - 30720*E^(17/3)*x^5 - 458752*E^4*x^7) + E^(5*E^16)*(-576*E^(17/3)*x^5 - 28672*E^4*x^7) + E^(6*E^16)*(24*E^(17/3)*x^5 + 3584*E^4*x^7) + E^(4*E^16)*(24*E^(22/3)*x^3 + 5760*E^(17/3)*x^5 + 143360*E^4*x^7) + E^(2*E^16)*(8*E^9*x + 2304*E^(22/3)*x^3 + 92160*E^(17/3)*x^5 + 917504*E^4*x^7),x]","e^4 \left(e^{e^{16}}-4\right)^2 x^2 \left(\left(e^{e^{16}}-4\right)^6 x^6+4 e^{5/3} \left(e^{e^{16}}-4\right)^4 x^4+6 e^{10/3} \left(e^{e^{16}}-4\right)^2 x^2+4 e^5\right)","e^4 \left(\left(4-e^{e^{16}}\right)^2 x^2+e^{5/3}\right)^4",1,"E^4*(-4 + E^E^16)^2*x^2*(4*E^5 + 6*E^(10/3)*(-4 + E^E^16)^2*x^2 + 4*E^(5/3)*(-4 + E^E^16)^4*x^4 + (-4 + E^E^16)^6*x^6)","B",1
2414,1,23,26,0.2055465,"\int \frac{-6 e^{10+x} \log (5)-6 e^5 x \log (5)+\left(4 e^5 x+4 e^{10+x} x\right) \log \left(e^{5+x}+x\right)+\left(2 e^{10+x}+2 e^5 x\right) \log ^2\left(e^{5+x}+x\right)}{e^{5+x}+x} \, dx","Integrate[(-6*E^(10 + x)*Log[5] - 6*E^5*x*Log[5] + (4*E^5*x + 4*E^(10 + x)*x)*Log[E^(5 + x) + x] + (2*E^(10 + x) + 2*E^5*x)*Log[E^(5 + x) + x]^2)/(E^(5 + x) + x),x]","2 e^5 \left(x \log ^2\left(x+e^{x+5}\right)-3 x \log (5)\right)","2 e^5 \left(x \left(\log ^2\left(x+e^{x+5}\right)-3 \log (5)\right)-5\right)-3",1,"2*E^5*(-3*x*Log[5] + x*Log[E^(5 + x) + x]^2)","A",1
2415,1,14,18,0.0014518,"\int (28+18 x+4 \log (x)) \, dx","Integrate[28 + 18*x + 4*Log[x],x]","9 x^2+24 x+4 x \log (x)","5 x^2+4 x (x+\log (x)+6)+e^e+4",1,"24*x + 9*x^2 + 4*x*Log[x]","A",1
2416,1,37,27,0.1004043,"\int \frac{25 e^2-30 e^4+e^{x^2} \left(50 e^2 x+e^4 \left(15-30 x^2\right)\right)}{200-240 e^2 x+72 e^4 x^2} \, dx","Integrate[(25*E^2 - 30*E^4 + E^x^2*(50*E^2*x + E^4*(15 - 30*x^2)))/(200 - 240*E^2*x + 72*E^4*x^2),x]","\frac{5 e^2 \left(3 e^{x^2+2}+5-6 e^2\right)}{8 \left(15 e^2-9 e^4 x\right)}","\frac{e^{x^2}+x-2}{4 \left(\frac{2}{e^2}-\frac{6 x}{5}\right)}+2",1,"(5*E^2*(5 - 6*E^2 + 3*E^(2 + x^2)))/(8*(15*E^2 - 9*E^4*x))","A",1
2417,1,24,25,0.1249167,"\int \frac{1}{5} e^{x^2} \left(2+13 x+4 x^2+3 x^3+e^x \left(-2-2 x-4 x^2\right)\right) \, dx","Integrate[(E^x^2*(2 + 13*x + 4*x^2 + 3*x^3 + E^x*(-2 - 2*x - 4*x^2)))/5,x]","\frac{1}{10} e^{x^2} \left(3 x^2-4 \left(e^x-1\right) x+10\right)","e^{x^2} \left(1-\frac{1}{10} x \left(x-4 \left(x-e^x+1\right)\right)\right)",1,"(E^x^2*(10 - 4*(-1 + E^x)*x + 3*x^2))/10","A",1
2418,1,39,19,0.0516127,"\int \frac{(-2+2 x) \log \left(\frac{50 e^{5+x}}{x}\right)-\log ^2\left(\frac{50 e^{5+x}}{x}\right)}{x^2} \, dx","Integrate[((-2 + 2*x)*Log[(50*E^(5 + x))/x] - Log[(50*E^(5 + x))/x]^2)/x^2,x]","2 x+\frac{\log ^2\left(\frac{50 e^{x+5}}{x}\right)}{x}-2 \log \left(\frac{50 e^{x+5}}{x}\right)-2 \log (x)+2","\frac{\log ^2\left(\frac{50 e^{x+5}}{x}\right)}{x}+2",1,"2 + 2*x - 2*Log[(50*E^(5 + x))/x] + Log[(50*E^(5 + x))/x]^2/x - 2*Log[x]","B",1
2419,1,24,24,0.009128,"\int \left(e^x+6 x+3 x^2-18 e^4 x^3 \log (x)-36 e^4 x^3 \log ^2(x)\right) \, dx","Integrate[E^x + 6*x + 3*x^2 - 18*E^4*x^3*Log[x] - 36*E^4*x^3*Log[x]^2,x]","-9 e^4 x^4 \log ^2(x)+x^3+3 x^2+e^x","x^2 \left(-9 e^4 x^2 \log ^2(x)+x+3\right)+e^x-1",1,"E^x + 3*x^2 + x^3 - 9*E^4*x^4*Log[x]^2","A",1
2420,1,24,26,0.0645399,"\int \frac{\exp \left(\frac{8-2 x^5-e^3 x^2 \log (5)}{2 x^3+e^3 \log (5)}\right) \left(-48 x^2-8 x^7-8 e^3 x^4 \log (5)-2 e^6 x \log ^2(5)\right)}{4 x^6+4 e^3 x^3 \log (5)+e^6 \log ^2(5)} \, dx","Integrate[(E^((8 - 2*x^5 - E^3*x^2*Log[5])/(2*x^3 + E^3*Log[5]))*(-48*x^2 - 8*x^7 - 8*E^3*x^4*Log[5] - 2*E^6*x*Log[5]^2))/(4*x^6 + 4*E^3*x^3*Log[5] + E^6*Log[5]^2),x]","e^{\frac{8}{2 x^3+e^3 \log (5)}-x^2}","e^{x \left(\frac{4}{x^4+\frac{1}{2} e^3 x \log (5)}-x\right)}",1,"E^(-x^2 + 8/(2*x^3 + E^3*Log[5]))","A",1
2421,1,21,24,0.2421526,"\int \frac{\exp \left(e^{\frac{8 x}{-3+3 x}} \left(9-e^4\right)+\frac{8 x}{-3+3 x}\right) \left(-72+8 e^4\right)}{3-6 x+3 x^2} \, dx","Integrate[(E^(E^((8*x)/(-3 + 3*x))*(9 - E^4) + (8*x)/(-3 + 3*x))*(-72 + 8*E^4))/(3 - 6*x + 3*x^2),x]","e^{\left(e^4-9\right) \left(-e^{\frac{8 x}{3 (x-1)}}\right)}","e^{\left(9-e^4\right) e^{-\frac{8 x}{3 (1-x)}}}",1,"E^(-(E^((8*x)/(3*(-1 + x)))*(-9 + E^4)))","A",1
2422,1,5,16,0.0000639,"\int (1+2 x) \, dx","Integrate[1 + 2*x,x]","x^2+x","x^2+x-e^5-\frac{16}{e^8}+2",1,"x + x^2","A",1
2423,1,30,30,0.158398,"\int \frac{\left(16-12 x^2+4 x^3+e^3 \left(-16 x^2-16 x^3+28 x^4-8 x^5\right)+e^3 \left(-16 x-16 x^2+28 x^3-8 x^4\right) \log (x)\right) \log \left(\log ^2\left(e^{-e^3 \left(2+x+x^2\right)} (x+\log (x))\right)\right)+\left(-4 x^2+2 x^3+\left(-4 x+2 x^2\right) \log (x)\right) \log \left(e^{-e^3 \left(2+x+x^2\right)} (x+\log (x))\right) \log ^2\left(\log ^2\left(e^{-e^3 \left(2+x+x^2\right)} (x+\log (x))\right)\right)}{\left(x^2+x \log (x)\right) \log \left(e^{-e^3 \left(2+x+x^2\right)} (x+\log (x))\right)} \, dx","Integrate[((16 - 12*x^2 + 4*x^3 + E^3*(-16*x^2 - 16*x^3 + 28*x^4 - 8*x^5) + E^3*(-16*x - 16*x^2 + 28*x^3 - 8*x^4)*Log[x])*Log[Log[(x + Log[x])/E^(E^3*(2 + x + x^2))]^2] + (-4*x^2 + 2*x^3 + (-4*x + 2*x^2)*Log[x])*Log[(x + Log[x])/E^(E^3*(2 + x + x^2))]*Log[Log[(x + Log[x])/E^(E^3*(2 + x + x^2))]^2]^2)/((x^2 + x*Log[x])*Log[(x + Log[x])/E^(E^3*(2 + x + x^2))]),x]","(x-2)^2 \log ^2\left(\log ^2\left(e^{-e^3 \left(x^2+x+2\right)} (x+\log (x))\right)\right)","(x-2)^2 \log ^2\left(\log ^2\left(e^{-e^3 \left(x^2+x+2\right)} (x+\log (x))\right)\right)",1,"(-2 + x)^2*Log[Log[(x + Log[x])/E^(E^3*(2 + x + x^2))]^2]^2","A",1
2424,1,20,20,0.0618108,"\int \exp \left(\frac{2 \left(-1+e^5 \left(3 x-x^2\right)-e^5 \log (3)\right)}{e^5}\right) (6-4 x) \, dx","Integrate[E^((2*(-1 + E^5*(3*x - x^2) - E^5*Log[3]))/E^5)*(6 - 4*x),x]","\frac{1}{9} e^{-2 x^2+6 x-\frac{2}{e^5}}","\frac{1}{9} e^{-2 x^2+6 x-\frac{2}{e^5}}",1,"E^(-2/E^5 + 6*x - 2*x^2)/9","A",1
2425,1,19,18,0.3602093,"\int \frac{e^x \left(-160 x-32 x^2\right)-512 \log (x)+\left(e^{2 x} \left(50 x^2+20 x^3+2 x^4\right)+e^x \left(160 x-160 x^2-32 x^3\right) \log (x)\right) \log (\log (x))+e^{2 x} \left(60 x^3+22 x^4+2 x^5\right) \log (x) \log ^2(\log (x))}{x^3 \log (x)} \, dx","Integrate[(E^x*(-160*x - 32*x^2) - 512*Log[x] + (E^(2*x)*(50*x^2 + 20*x^3 + 2*x^4) + E^x*(160*x - 160*x^2 - 32*x^3)*Log[x])*Log[Log[x]] + E^(2*x)*(60*x^3 + 22*x^4 + 2*x^5)*Log[x]*Log[Log[x]]^2)/(x^3*Log[x]),x]","\frac{\left(e^x x (x+5) \log (\log (x))-16\right)^2}{x^2}","\left(e^x (x+5) \log (\log (x))-\frac{16}{x}\right)^2",1,"(-16 + E^x*x*(5 + x)*Log[Log[x]])^2/x^2","A",1
2426,1,35,32,0.0396676,"\int \frac{-16-20 x+x^2-x^3+\left(3 x^2-2 x^3\right) \log (x)+\left(16+x^2-2 x^3\right) \log (x) \log (\log (x))}{x^2 \log (x)} \, dx","Integrate[(-16 - 20*x + x^2 - x^3 + (3*x^2 - 2*x^3)*Log[x] + (16 + x^2 - 2*x^3)*Log[x]*Log[Log[x]])/(x^2*Log[x]),x]","-x^2+x^2 (-\log (\log (x)))+3 x+x \log (\log (x))-20 \log (\log (x))-\frac{16 \log (\log (x))}{x}","(3-x) x+\left(\left(-\left(\frac{4}{x}+2\right)^2-x+5\right) x-4\right) \log (\log (x))",1,"3*x - x^2 - 20*Log[Log[x]] - (16*Log[Log[x]])/x + x*Log[Log[x]] - x^2*Log[Log[x]]","A",1
2427,1,23,19,0.0373471,"\int \frac{-50 x^2-x^3+\left(75 x^2+3 x^3\right) \log \left(\frac{1}{25} \left(25 x+x^2\right)\right)}{800+32 x} \, dx","Integrate[(-50*x^2 - x^3 + (75*x^2 + 3*x^3)*Log[(25*x + x^2)/25])/(800 + 32*x),x]","\frac{1}{32} \left(x^3 \log \left(\frac{1}{25} x (x+25)\right)-x^3\right)","\frac{1}{32} x^3 \left(\log \left(\frac{x^2}{25}+x\right)-1\right)",1,"(-x^3 + x^3*Log[(x*(25 + x))/25])/32","A",1
2428,1,15,15,0.0018969,"\int \frac{1}{8} \left(40-6 x^2-9 x^2 \log \left(x^2\right)\right) \, dx","Integrate[(40 - 6*x^2 - 9*x^2*Log[x^2])/8,x]","5 x-\frac{3}{8} x^3 \log \left(x^2\right)","x \left(5-\frac{3}{8} x^2 \log \left(x^2\right)\right)",1,"5*x - (3*x^3*Log[x^2])/8","A",1
2429,1,34,38,0.1312712,"\int \frac{-56+20 x-22 x^2+9 x^3-x^4+\left(28-10 x+x^2\right) \log (2)+\left(-16-8 x^2+2 x^3+8 \log (2)\right) \log (x)+\left(-40+18 x-2 x^2+\left(20-9 x+x^2\right) \log (2)+(-16+4 x+(8-2 x) \log (2)) \log (x)\right) \log \left(\frac{4-x}{5 x-x^2+2 x \log (x)}\right)}{40 x^2-18 x^3+2 x^4+\left(-20 x^2+9 x^3-x^4\right) \log (2)+\left(16 x^2-4 x^3+\left(-8 x^2+2 x^3\right) \log (2)\right) \log (x)} \, dx","Integrate[(-56 + 20*x - 22*x^2 + 9*x^3 - x^4 + (28 - 10*x + x^2)*Log[2] + (-16 - 8*x^2 + 2*x^3 + 8*Log[2])*Log[x] + (-40 + 18*x - 2*x^2 + (20 - 9*x + x^2)*Log[2] + (-16 + 4*x + (8 - 2*x)*Log[2])*Log[x])*Log[(4 - x)/(5*x - x^2 + 2*x*Log[x])])/(40*x^2 - 18*x^3 + 2*x^4 + (-20*x^2 + 9*x^3 - x^4)*Log[2] + (16*x^2 - 4*x^3 + (-8*x^2 + 2*x^3)*Log[2])*Log[x]),x]","\frac{x+\frac{(\log (2)-2) \log \left(\frac{x-4}{x (x-2 \log (x)-5)}\right)}{x}}{\log (2)-2}","-\frac{x}{2-\log (2)}+\frac{\log \left(\frac{x-4}{x (x-2 (\log (x)+2))-x}\right)}{x}+1",1,"(x + ((-2 + Log[2])*Log[(-4 + x)/(x*(-5 + x - 2*Log[x]))])/x)/(-2 + Log[2])","A",1
2430,1,25,28,0.1082094,"\int \frac{468-432 x+81 x^2+e^{2 x} \left(52+9 x^2\right)+e^x \left(312-144 x+126 x^2\right)}{27+18 e^x+3 e^{2 x}} \, dx","Integrate[(468 - 432*x + 81*x^2 + E^(2*x)*(52 + 9*x^2) + E^x*(312 - 144*x + 126*x^2))/(27 + 18*E^x + 3*E^(2*x)),x]","\frac{1}{3} \left(3 x^3-\frac{72 x^2}{e^x+3}+52 x\right)","x \left((x+4)^2+2 \left(\frac{2}{3}-4 \left(\frac{3 x}{e^x+3}+x\right)\right)\right)",1,"(52*x - (72*x^2)/(3 + E^x) + 3*x^3)/3","A",1
2431,1,24,29,0.1842651,"\int \frac{-4+3 x-6 x^2+3 x^3-2 x^4+\left(1-x+2 x^2\right) \log (x)}{-3 x+x^2-x^3+x \log (x)} \, dx","Integrate[(-4 + 3*x - 6*x^2 + 3*x^3 - 2*x^4 + (1 - x + 2*x^2)*Log[x])/(-3*x + x^2 - x^3 + x*Log[x]),x]","x^2-\log \left(x^2-x-\log (x)+3\right)-x+\log (x)","x^2-x+\log \left(\frac{4}{\frac{x+\log (x)-3}{x}-x}\right)-\log (2)",1,"-x + x^2 + Log[x] - Log[3 - x + x^2 - Log[x]]","A",1
2432,1,29,18,0.2463826,"\int \frac{e^{-x^2+\frac{2 e^{-x^2} (6+2 \log (5))}{x^3}} \left(-36-24 x^2+\left(-12-8 x^2\right) \log (5)\right)}{x^4} \, dx","Integrate[(E^(-x^2 + (2*(6 + 2*Log[5]))/(E^x^2*x^3))*(-36 - 24*x^2 + (-12 - 8*x^2)*Log[5]))/x^4,x]","5^{\frac{4 e^{-x^2}}{x^3}} e^{\frac{12 e^{-x^2}}{x^3}}","e^{\frac{4 e^{-x^2} (3+\log (5))}{x^3}}",1,"5^(4/(E^x^2*x^3))*E^(12/(E^x^2*x^3))","A",1
2433,1,52,29,0.3764983,"\int \frac{9-2 x \log (4)+e^x \left(-36+36 x-24 x^2+8 x \log (4)-4 x^2 \log ^2(4)\right)+\left(2 x+e^x \left(-8 x+8 x^2 \log (4)\right)\right) \log (x)-4 e^x x^2 \log ^2(x)}{4 x^2} \, dx","Integrate[(9 - 2*x*Log[4] + E^x*(-36 + 36*x - 24*x^2 + 8*x*Log[4] - 4*x^2*Log[4]^2) + (2*x + E^x*(-8*x + 8*x^2*Log[4]))*Log[x] - 4*E^x*x^2*Log[x]^2)/(4*x^2),x]","\frac{\left(x-4 e^x x\right) \log ^2(x)-4 e^x \left(x \left(6+\log ^2(4)\right)-9\right)-x \left(\log (16)-e^x \log (65536)\right) \log (x)-9}{4 x}","\frac{\left(\frac{1}{4}-e^x\right) \left(x+x \left((\log (4)-\log (x))^2+5\right)-9\right)}{x}",1,"(-9 - 4*E^x*(-9 + x*(6 + Log[4]^2)) - x*(Log[16] - E^x*Log[65536])*Log[x] + (x - 4*E^x*x)*Log[x]^2)/(4*x)","A",1
2434,1,19,21,0.1781067,"\int \frac{27-54 x+(8-8 x) \log \left(x^2\right)+(-27+54 x) \log ^2\left(x^2\right)+(9-18 x) \log ^4\left(x^2\right)+(-1+2 x) \log ^6\left(x^2\right)}{27 x-27 x^2+\left(-27 x+27 x^2\right) \log ^2\left(x^2\right)+\left(9 x-9 x^2\right) \log ^4\left(x^2\right)+\left(-x+x^2\right) \log ^6\left(x^2\right)} \, dx","Integrate[(27 - 54*x + (8 - 8*x)*Log[x^2] + (-27 + 54*x)*Log[x^2]^2 + (9 - 18*x)*Log[x^2]^4 + (-1 + 2*x)*Log[x^2]^6)/(27*x - 27*x^2 + (-27*x + 27*x^2)*Log[x^2]^2 + (9*x - 9*x^2)*Log[x^2]^4 + (-x + x^2)*Log[x^2]^6),x]","\frac{1}{\left(\log ^2\left(x^2\right)-3\right)^2}+\log (1-x)+\log (x)","\frac{1}{\left(3-\log ^2\left(x^2\right)\right)^2}+\log ((2-2 x) x)",1,"Log[1 - x] + Log[x] + (-3 + Log[x^2]^2)^(-2)","A",1
2435,1,14,14,0.0036767,"\int \frac{1}{3} e^{2 x} \left(x+x^2\right) \log (5) \, dx","Integrate[(E^(2*x)*(x + x^2)*Log[5])/3,x]","\frac{1}{6} e^{2 x} x^2 \log (5)","\frac{1}{6} e^{2 x} x^2 \log (5)",1,"(E^(2*x)*x^2*Log[5])/6","A",1
2436,1,27,25,0.167335,"\int \frac{16 x^5+e^4 \left(-5+10 x^2+x^5\right)+\left(-32 x^3-2 e^4 x^3\right) \log (x)+\left(16 x+e^4 x\right) \log ^2(x)}{16 x^5-32 x^3 \log (x)+16 x \log ^2(x)} \, dx","Integrate[(16*x^5 + E^4*(-5 + 10*x^2 + x^5) + (-32*x^3 - 2*E^4*x^3)*Log[x] + (16*x + E^4*x)*Log[x]^2)/(16*x^5 - 32*x^3*Log[x] + 16*x*Log[x]^2),x]","\frac{1}{16} \left(\frac{5 e^4}{\log (x)-x^2}+\left(16+e^4\right) x\right)","x-\frac{1}{16} e^4 \left(\frac{5}{x^2-\log (x)}-x\right)",1,"((16 + E^4)*x + (5*E^4)/(-x^2 + Log[x]))/16","A",1
2437,1,27,24,0.0625245,"\int \frac{-200+100 x+e^x \left(850-125 x-300 x^2-100 x^3\right)}{4 x^3} \, dx","Integrate[(-200 + 100*x + E^x*(850 - 125*x - 300*x^2 - 100*x^3))/(4*x^3),x]","-\frac{25 \left(e^x \left(4 x^2+12 x+17\right)+4 (x-1)\right)}{4 x^2}","\frac{25 \left(-x-e^x \left(\left(x+\frac{3}{2}\right)^2+2\right)+1\right)}{x^2}",1,"(-25*(4*(-1 + x) + E^x*(17 + 12*x + 4*x^2)))/(4*x^2)","A",1
2438,1,24,28,0.0999055,"\int \frac{-1-x+e^{9+6 x^2+x^4} \left(x+2 x^2+12 x^3+12 x^4+4 x^5+4 x^6\right) \log (4)}{x} \, dx","Integrate[(-1 - x + E^(9 + 6*x^2 + x^4)*(x + 2*x^2 + 12*x^3 + 12*x^4 + 4*x^5 + 4*x^6)*Log[4])/x,x]","x \left(e^{\left(x^2+3\right)^2} (x+1) \log (4)-1\right)-\log (x)","e^{\left(x^2+3\right)^2} \left(x^2+x\right) \log (4)-x-\log (5 x)-1",1,"x*(-1 + E^(3 + x^2)^2*(1 + x)*Log[4]) - Log[x]","A",1
2439,1,14637,31,63.2344204,"\int \frac{-8750+5250 x-1050 x^2+1820 x^3-1050 x^4+210 x^5-14 x^6+\left(-50+10 x-20 x^3+4 x^4\right) \log \left(\frac{5-x^3}{x}\right)+\left(25+5 x-5 x^3-x^4\right) \log ^2\left(\frac{5-x^3}{x}\right)}{7500-4500 x+900 x^2-1560 x^3+900 x^4-180 x^5+12 x^6} \, dx","Integrate[(-8750 + 5250*x - 1050*x^2 + 1820*x^3 - 1050*x^4 + 210*x^5 - 14*x^6 + (-50 + 10*x - 20*x^3 + 4*x^4)*Log[(5 - x^3)/x] + (25 + 5*x - 5*x^3 - x^4)*Log[(5 - x^3)/x]^2)/(7500 - 4500*x + 900*x^2 - 1560*x^3 + 900*x^4 - 180*x^5 + 12*x^6),x]","\text{Result too large to show}","\frac{1}{12} x \left(\frac{\log ^2\left(\frac{5}{x}-x^2\right)}{(x-5)^2}-2\right)-x",1,"Result too large to show","C",0
2440,1,22,26,0.070098,"\int \frac{40 e^5+550 x-200 x^2}{-33275 x^4+18150 x^5-3300 x^6+200 x^7+e^{10} \left(-5324+2904 x-528 x^2+32 x^3\right)+e^5 \left(26620 x^2-14520 x^3+2640 x^4-160 x^5\right)} \, dx","Integrate[(40*E^5 + 550*x - 200*x^2)/(-33275*x^4 + 18150*x^5 - 3300*x^6 + 200*x^7 + E^10*(-5324 + 2904*x - 528*x^2 + 32*x^3) + E^5*(26620*x^2 - 14520*x^3 + 2640*x^4 - 160*x^5)),x]","\frac{5}{(11-2 x)^2 \left(5 x^2-2 e^5\right)}","\frac{1}{(3 (4-x)+x-1)^2 \left(x^2-\frac{2 e^5}{5}\right)}",1,"5/((11 - 2*x)^2*(-2*E^5 + 5*x^2))","A",1
2441,1,24,26,4.4987409,"\int \frac{e^{-5 x} \left(-62500-68750 x+15625 x^2+e^{e^x x} \left(-50000-55000 x+12500 x^2+e^x \left(12500 x+10000 x^2-2500 x^3\right)\right)+e^{2 e^x x} \left(-15000-16500 x+3750 x^2+e^x \left(7500 x+6000 x^2-1500 x^3\right)\right)+e^{3 e^x x} \left(-2000-2200 x+500 x^2+e^x \left(1500 x+1200 x^2-300 x^3\right)\right)+e^{4 e^x x} \left(-100-110 x+25 x^2+e^x \left(100 x+80 x^2-20 x^3\right)\right)\right)}{x^5} \, dx","Integrate[(-62500 - 68750*x + 15625*x^2 + E^(E^x*x)*(-50000 - 55000*x + 12500*x^2 + E^x*(12500*x + 10000*x^2 - 2500*x^3)) + E^(2*E^x*x)*(-15000 - 16500*x + 3750*x^2 + E^x*(7500*x + 6000*x^2 - 1500*x^3)) + E^(3*E^x*x)*(-2000 - 2200*x + 500*x^2 + E^x*(1500*x + 1200*x^2 - 300*x^3)) + E^(4*E^x*x)*(-100 - 110*x + 25*x^2 + E^x*(100*x + 80*x^2 - 20*x^3)))/(E^(5*x)*x^5),x]","-\frac{5 e^{-5 x} \left(e^{e^x x}+5\right)^4 (x-5)}{x^4}","\frac{5 e^{-5 x} \left(e^{e^x x}+5\right)^4 (5-x)}{x^4}",1,"(-5*(5 + E^(E^x*x))^4*(-5 + x))/(E^(5*x)*x^4)","A",1
2442,1,26,26,0.1131678,"\int \frac{1}{3} \exp \left(e^{\frac{1}{3} \left(-3+e^{5 e^{e^x}-5 x}+6 x\right)}+\frac{1}{3} \left(-3+e^{5 e^{e^x}-5 x}+6 x\right)\right) \left(6+e^{5 e^{e^x}-5 x} \left(-5+5 e^{e^x+x}\right)\right) \, dx","Integrate[(E^(E^((-3 + E^(5*E^E^x - 5*x) + 6*x)/3) + (-3 + E^(5*E^E^x - 5*x) + 6*x)/3)*(6 + E^(5*E^E^x - 5*x)*(-5 + 5*E^(E^x + x))))/3,x]","e^{e^{2 x+\frac{1}{3} e^{5 e^{e^x}-5 x}-1}}","e^{e^{2 x+\frac{1}{3} e^{5 \left(e^{e^x}-x\right)}-1}}",1,"E^E^(-1 + E^(5*E^E^x - 5*x)/3 + 2*x)","A",1
2443,1,26,27,0.0136573,"\int \frac{5+e^3 (-1-4 x)-6 x-x^2}{75+3 e^6+30 x^2+3 x^4+e^3 \left(-30-6 x^2\right)} \, dx","Integrate[(5 + E^3*(-1 - 4*x) - 6*x - x^2)/(75 + 3*E^6 + 30*x^2 + 3*x^4 + E^3*(-30 - 6*x^2)),x]","-\frac{-x-2 e^3-3}{3 \left(x^2-e^3+5\right)}","\frac{\frac{1}{3} \left(2 x^2+x+4\right)+3}{x^2-e^3+5}",1,"-1/3*(-3 - 2*E^3 - x)/(5 - E^3 + x^2)","A",1
2444,1,20,22,0.7416621,"\int \frac{\left(512 x+1024 x^2+512 x^3\right) \log (6+x)+\left(1536+6400 x+5632 x^2+768 x^3\right) \log ^2(6+x)}{6+x+\left(-3072 x-6656 x^2-4096 x^3-512 x^4\right) \log ^2(6+x)+\left(393216 x^2+1638400 x^3+2621440 x^4+1966080 x^5+655360 x^6+65536 x^7\right) \log ^4(6+x)} \, dx","Integrate[((512*x + 1024*x^2 + 512*x^3)*Log[6 + x] + (1536 + 6400*x + 5632*x^2 + 768*x^3)*Log[6 + x]^2)/(6 + x + (-3072*x - 6656*x^2 - 4096*x^3 - 512*x^4)*Log[6 + x]^2 + (393216*x^2 + 1638400*x^3 + 2621440*x^4 + 1966080*x^5 + 655360*x^6 + 65536*x^7)*Log[6 + x]^4),x]","-\frac{1}{256 x (x+1)^2 \log ^2(x+6)-1}","\frac{x}{x-256 x^2 (x+1)^2 \log ^2(x+6)}",1,"-(-1 + 256*x*(1 + x)^2*Log[6 + x]^2)^(-1)","A",1
2445,1,23,25,0.0292968,"\int \frac{-9+\left(-25 x-50 e^{x^2} x^2\right) \log ^2(2 x)}{3 x \log ^2(2 x)} \, dx","Integrate[(-9 + (-25*x - 50*E^x^2*x^2)*Log[2*x]^2)/(3*x*Log[2*x]^2),x]","-\frac{25 e^{x^2}}{3}-\frac{25 x}{3}+\frac{3}{\log (2 x)}","\frac{25}{3} \left(-e^{x^2}-x+1\right)+\frac{3}{\log (2 x)}",1,"(-25*E^x^2)/3 - (25*x)/3 + 3/Log[2*x]","A",1
2446,1,24,25,0.0501526,"\int \frac{e^{\frac{1}{3} \left(-e^{-4+\sqrt[4]{x}}-3 x \log (3)\right)} \left(-e^{-4+\sqrt[4]{x}} \sqrt[4]{x}-12 x \log (3)\right)}{48 x} \, dx","Integrate[(E^((-E^(-4 + x^(1/4)) - 3*x*Log[3])/3)*(-(E^(-4 + x^(1/4))*x^(1/4)) - 12*x*Log[3]))/(48*x),x]","\frac{1}{4} 3^{-x} e^{-\frac{1}{3} e^{\sqrt[4]{x}-4}}","\frac{1}{4} e^{x (-\log (3))-\frac{1}{3} e^{\sqrt[4]{x}-4}}",1,"1/(4*3^x*E^(E^(-4 + x^(1/4))/3))","A",1
2447,1,33,20,0.22432,"\int \frac{e^{2+4 x-x^2} \left(32+128 x-64 x^2\right)}{-3+32 e^{2+4 x-x^2} x} \, dx","Integrate[(E^(2 + 4*x - x^2)*(32 + 128*x - 64*x^2))/(-3 + 32*E^(2 + 4*x - x^2)*x),x]","32 \left(\frac{1}{32} \log \left(3 e^{x^2}-32 e^{4 x+2} x\right)-\frac{x^2}{32}\right)","\log \left(32 e^{-x^2+4 x+2} x-3\right)-5",1,"32*(-1/32*x^2 + Log[3*E^x^2 - 32*E^(2 + 4*x)*x]/32)","A",1
2448,1,15,16,0.0198862,"\int \frac{-5 x+(-30-5 x) \log (6+x)}{54+9 x+(-72-12 x) \log (2)+(24+4 x) \log ^2(2)+\left(36 x+6 x^2+\left(-24 x-4 x^2\right) \log (2)\right) \log (6+x)+\left(6 x^2+x^3\right) \log ^2(6+x)} \, dx","Integrate[(-5*x + (-30 - 5*x)*Log[6 + x])/(54 + 9*x + (-72 - 12*x)*Log[2] + (24 + 4*x)*Log[2]^2 + (36*x + 6*x^2 + (-24*x - 4*x^2)*Log[2])*Log[6 + x] + (6*x^2 + x^3)*Log[6 + x]^2),x]","-\frac{5}{-x \log (x+6)-3+\log (4)}","\frac{5}{x \log (x+6)+3-2 \log (2)}",1,"-5/(-3 + Log[4] - x*Log[6 + x])","A",1
2449,1,29,27,0.0305222,"\int \frac{-20 x+6 e^{3+3 e^{e^2}} \log (\log (5))}{x^4 \log (\log (5))} \, dx","Integrate[(-20*x + 6*E^(3 + 3*E^E^2)*Log[Log[5]])/(x^4*Log[Log[5]]),x]","2 \left(\frac{5}{x^2 \log (\log (5))}-\frac{e^{3+3 e^{e^2}}}{x^3}\right)","\frac{2 \left(\frac{5 x}{\log (\log (5))}-e^{3 \left(1+e^{e^2}\right)}\right)}{x^3}",1,"2*(-(E^(3 + 3*E^E^2)/x^3) + 5/(x^2*Log[Log[5]]))","A",1
2450,1,20,17,0.0829913,"\int \frac{x^5+e^{\frac{9-6 x+x^2}{x^4}} \left(-180+90 x-10 x^2\right)}{x^5} \, dx","Integrate[(x^5 + E^((9 - 6*x + x^2)/x^4)*(-180 + 90*x - 10*x^2))/x^5,x]","5 e^{\frac{9}{x^4}-\frac{6}{x^3}+\frac{1}{x^2}}+x","5 e^{\frac{(3-x)^2}{x^4}}+x",1,"5*E^(9/x^4 - 6/x^3 + x^(-2)) + x","A",1
2451,1,157,33,0.1594407,"\int \frac{-32 x^3+e^x \left(3-3 x-80 x^2\right) \log (2)-50 e^{2 x} x \log ^2(2)+e^{4 x} \left(-64 x^2-160 e^x x \log (2)-100 e^{2 x} \log ^2(2)\right)}{16 x^2+40 e^x x \log (2)+25 e^{2 x} \log ^2(2)} \, dx","Integrate[(-32*x^3 + E^x*(3 - 3*x - 80*x^2)*Log[2] - 50*E^(2*x)*x*Log[2]^2 + E^(4*x)*(-64*x^2 - 160*E^x*x*Log[2] - 100*E^(2*x)*Log[2]^2))/(16*x^2 + 40*E^x*x*Log[2] + 25*E^(2*x)*Log[2]^2),x]","-\frac{1024 x^5 \left(125 \log ^2(2)+3 \log ^2(32)-40 \log (2) \log (32)\right)+80 e^{2 x} \left(2 x^2-2 x+1\right) \log ^2(32) \left(75 \log ^2(2)+\log ^2(32)-20 \log (2) \log (32)\right)+125 x^2 \log ^2(2) \log ^4(32)-2560 e^x \left(x^3-3 x^2+6 x-6\right) \log (32) \left(50 \log ^2(2)+\log ^2(32)-15 \log (2) \log (32)\right)-\frac{5 x \log (8) \log ^5(32)}{4 x+e^x \log (32)}+125 e^{4 x} \log ^2(2) \log ^4(32)}{5 \log ^6(32)}","-x^2-e^{4 x}-\frac{3}{\frac{1}{\frac{e^x \log (2)}{x}+1}-5}+4",1,"-1/5*(125*E^(4*x)*Log[2]^2*Log[32]^4 + 125*x^2*Log[2]^2*Log[32]^4 - (5*x*Log[8]*Log[32]^5)/(4*x + E^x*Log[32]) + 80*E^(2*x)*(1 - 2*x + 2*x^2)*Log[32]^2*(75*Log[2]^2 - 20*Log[2]*Log[32] + Log[32]^2) - 2560*E^x*(-6 + 6*x - 3*x^2 + x^3)*Log[32]*(50*Log[2]^2 - 15*Log[2]*Log[32] + Log[32]^2) + 1024*x^5*(125*Log[2]^2 - 40*Log[2]*Log[32] + 3*Log[32]^2))/Log[32]^6","B",1
2452,1,27,18,0.1780311,"\int \frac{e^{\frac{1}{31} (54+6 x)} (-31+6 x)}{31 e^{\frac{1}{31} (54+6 x)} x-465 x^2} \, dx","Integrate[(E^((54 + 6*x)/31)*(-31 + 6*x))/(31*E^((54 + 6*x)/31)*x - 465*x^2),x]","\frac{1}{31} \left(31 \log \left(e^{\frac{6 x}{31}+\frac{54}{31}}-15 x\right)-31 \log (x)\right)","\log \left(\frac{x+e^{\frac{6 (x+9)}{31}}}{x}-16\right)",1,"(31*Log[E^(54/31 + (6*x)/31) - 15*x] - 31*Log[x])/31","A",1
2453,1,32,23,0.1098983,"\int \frac{-20+60 x^2-80 x^3+60 x^4+e^{4 x} (-20+80 x)+e^{3 x} \left(80-240 x+240 x^2\right)+e^{2 x} \left(-120+240 x-280 x^2+240 x^3\right)+e^x \left(80-80 x+80 x^4\right)+\left(20-80 x+180 x^2-160 x^3+100 x^4+e^{4 x} (20+80 x)+e^{3 x} \left(-80-80 x+240 x^2\right)+e^{2 x} \left(120-160 x-40 x^2+240 x^3\right)+e^x \left(-80+240 x-320 x^2+160 x^3+80 x^4\right)\right) \log (x)}{1+3 \log (x)+3 \log ^2(x)+\log ^3(x)} \, dx","Integrate[(-20 + 60*x^2 - 80*x^3 + 60*x^4 + E^(4*x)*(-20 + 80*x) + E^(3*x)*(80 - 240*x + 240*x^2) + E^(2*x)*(-120 + 240*x - 280*x^2 + 240*x^3) + E^x*(80 - 80*x + 80*x^4) + (20 - 80*x + 180*x^2 - 160*x^3 + 100*x^4 + E^(4*x)*(20 + 80*x) + E^(3*x)*(-80 - 80*x + 240*x^2) + E^(2*x)*(120 - 160*x - 40*x^2 + 240*x^3) + E^x*(-80 + 240*x - 320*x^2 + 160*x^3 + 80*x^4))*Log[x])/(1 + 3*Log[x] + 3*Log[x]^2 + Log[x]^3),x]","\frac{20 x \left(x^2-x+e^{2 x}+2 e^x (x-1)+1\right)^2}{(\log (x)+1)^2}","\frac{20 x \left(\left(x+e^x-1\right)^2+x\right)^2}{(\log (x)+1)^2}+5",1,"(20*x*(1 + E^(2*x) + 2*E^x*(-1 + x) - x + x^2)^2)/(1 + Log[x])^2","A",1
2454,1,24,22,0.0143566,"\int \frac{12800 x-25600 x^3+14400 x^5-3200 x^7+250 x^9}{6400 x^2-6400 x^4+2400 x^6-400 x^8+25 x^{10}+\log ^5(4)} \, dx","Integrate[(12800*x - 25600*x^3 + 14400*x^5 - 3200*x^7 + 250*x^9)/(6400*x^2 - 6400*x^4 + 2400*x^6 - 400*x^8 + 25*x^10 + Log[4]^5),x]","\log \left(25 \left(x^2-4\right)^5+100 \left(x^2-4\right)^4+\log ^5(4)\right)","\log \left(\frac{25 x^2 \left(4-x^2\right)^4}{\log ^4(4)}+\log (4)\right)",1,"Log[100*(-4 + x^2)^4 + 25*(-4 + x^2)^5 + Log[4]^5]","A",1
2455,1,28,33,0.047882,"\int \frac{25 x^2+10 x^5+x^8+e^5 \left(25 x+5 x^4\right)+\left(-25 x^2+15 e^5 x^4-10 x^5-x^8\right) \log (x)+\left(-25-10 x^3-x^6+\left(-25-10 x^3-x^6\right) \log (x)\right) \log (\log (3))}{\left(25 x^2+10 x^5+x^8\right) \log ^2(x)} \, dx","Integrate[(25*x^2 + 10*x^5 + x^8 + E^5*(25*x + 5*x^4) + (-25*x^2 + 15*E^5*x^4 - 10*x^5 - x^8)*Log[x] + (-25 - 10*x^3 - x^6 + (-25 - 10*x^3 - x^6)*Log[x])*Log[Log[3]])/((25*x^2 + 10*x^5 + x^8)*Log[x]^2),x]","\frac{-\frac{5 e^5}{x^3+5}-x+\frac{\log (\log (3))}{x}}{\log (x)}","\frac{\frac{\log (\log (3))-\frac{5 e^5}{x^2+\frac{5}{x}}}{x}-x}{\log (x)}",1,"(-x - (5*E^5)/(5 + x^3) + Log[Log[3]]/x)/Log[x]","A",1
2456,1,17,24,0.0111279,"\int \frac{-5764801+24559829 x-12395625 x^2+1562500 x^3}{5764801 x-3001250 x^2+390625 x^3} \, dx","Integrate[(-5764801 + 24559829*x - 12395625*x^2 + 1562500*x^3)/(5764801*x - 3001250*x^2 + 390625*x^3),x]","4 x+\frac{2401}{625 x-2401}-\log (x)","-\left(\left(\frac{10}{x}-4\right) x\right)+\frac{x}{x-\frac{2401}{625}}-\log (x)",1,"4*x + 2401/(-2401 + 625*x) - Log[x]","A",1
2457,1,31,25,0.3621392,"\int \frac{96 x^2+24 x^3+3 x^5+\left(32+8 x+x^3\right) \log (2)+\left(32+16 x+2 x^2-2 x^3\right) \log (2) \log \left(\frac{16+8 x+x^2-x^3}{x^2}\right)}{\left(-48 x^3-24 x^4-3 x^5+3 x^6+\left(-16 x-8 x^2-x^3+x^4\right) \log (2)\right) \log \left(\frac{16+8 x+x^2-x^3}{x^2}\right)} \, dx","Integrate[(96*x^2 + 24*x^3 + 3*x^5 + (32 + 8*x + x^3)*Log[2] + (32 + 16*x + 2*x^2 - 2*x^3)*Log[2]*Log[(16 + 8*x + x^2 - x^3)/x^2])/((-48*x^3 - 24*x^4 - 3*x^5 + 3*x^6 + (-16*x - 8*x^2 - x^3 + x^4)*Log[2])*Log[(16 + 8*x + x^2 - x^3)/x^2]),x]","\log \left(3 x^2+\log (2)\right)+\log \left(\log \left(\frac{16}{x^2}-x+\frac{8}{x}+1\right)\right)-2 \log (x)","\log \left(\frac{\log (2)}{x^2}+3\right)+\log \left(\log \left(\left(\frac{4}{x}+1\right)^2-x\right)\right)",1,"-2*Log[x] + Log[3*x^2 + Log[2]] + Log[Log[1 + 16/x^2 + 8/x - x]]","A",1
2458,1,43,33,0.0384774,"\int \frac{e^{-\frac{4 x^2}{25}} \left(-25 x^2-32 x^3+8 x^4+e^{\frac{4 x^2}{25}} \left(200+450 x^2-675 x^4\right)\right)}{225 x^2} \, dx","Integrate[(-25*x^2 - 32*x^3 + 8*x^4 + E^((4*x^2)/25)*(200 + 450*x^2 - 675*x^4))/(225*E^((4*x^2)/25)*x^2),x]","-x^3-\frac{1}{9} e^{-\frac{4 x^2}{25}} x+\frac{4}{9} e^{-\frac{4 x^2}{25}}+2 x-\frac{8}{9 x}","\frac{(x-4) \left(2-e^{-\frac{4 x^2}{25}} x\right)}{9 x}-x \left(x^2-2\right)",1,"4/(9*E^((4*x^2)/25)) - 8/(9*x) + 2*x - x/(9*E^((4*x^2)/25)) - x^3","A",1
2459,1,21,21,0.0244146,"\int \frac{-1-x^2-130050 e^{2-2 e^x+x} x^2+2 x^3}{x^2} \, dx","Integrate[(-1 - x^2 - 130050*E^(2 - 2*E^x + x)*x^2 + 2*x^3)/x^2,x]","x^2-x+65025 e^{2-2 e^x}+\frac{1}{x}","x^2-x+65025 e^{2-2 e^x}+\frac{1}{x}",1,"65025*E^(2 - 2*E^x) + x^(-1) - x + x^2","A",1
2460,1,18,21,0.0044303,"\int \frac{-4 x+3 \log \left(\frac{5}{3}\right)}{-2 x^2+(-1+3 x) \log \left(\frac{5}{3}\right)} \, dx","Integrate[(-4*x + 3*Log[5/3])/(-2*x^2 + (-1 + 3*x)*Log[5/3]),x]","\log \left(2 x^2-3 x \log \left(\frac{5}{3}\right)+\log \left(\frac{5}{3}\right)\right)","\log \left(2 x+x \left(\frac{1}{x}+\frac{2 x}{\log \left(\frac{5}{3}\right)}-5\right)\right)",1,"Log[2*x^2 + Log[5/3] - 3*x*Log[5/3]]","A",1
2461,1,11,11,0.0317386,"\int \frac{-x+8 \log (16)-x \log (x)}{\left(-x^2+8 x \log (16)\right) \log (x)} \, dx","Integrate[(-x + 8*Log[16] - x*Log[x])/((-x^2 + 8*x*Log[16])*Log[x]),x]","\log (x-8 \log (16))+\log (\log (x))","\log (5 (x-8 \log (16)) \log (x))",1,"Log[x - 8*Log[16]] + Log[Log[x]]","A",1
2462,1,21,25,0.01327,"\int \frac{120 x^2-50 x^3 \log (x)+50 x^3 \log (2 x)}{64+80 x^3+25 x^6+\left(-80 x-50 x^4\right) \log (x)+25 x^2 \log ^2(x)+\left(80 x+50 x^4-50 x^2 \log (x)\right) \log (2 x)+25 x^2 \log ^2(2 x)} \, dx","Integrate[(120*x^2 - 50*x^3*Log[x] + 50*x^3*Log[2*x])/(64 + 80*x^3 + 25*x^6 + (-80*x - 50*x^4)*Log[x] + 25*x^2*Log[x]^2 + (80*x + 50*x^4 - 50*x^2*Log[x])*Log[2*x] + 25*x^2*Log[2*x]^2),x]","\frac{x (-\log (32))-8}{5 x^3+x \log (32)+8}","\frac{x^2}{x^2+\frac{8}{5 x}-\log (x)+\log (2 x)}",1,"(-8 - x*Log[32])/(8 + 5*x^3 + x*Log[32])","A",1
2463,1,19,19,0.0761861,"\int \frac{e^{-2-2 x} \left(-1-2 x+48 e^{2+2 x} x^2\right)}{16 x^2} \, dx","Integrate[(E^(-2 - 2*x)*(-1 - 2*x + 48*E^(2 + 2*x)*x^2))/(16*x^2),x]","\frac{1}{16} \left(48 x+\frac{e^{-2 x-2}}{x}\right)","3 x+\frac{e^{-2 x-2}}{16 x}-1",1,"(E^(-2 - 2*x)/x + 48*x)/16","A",1
2464,1,18,23,0.008765,"\int \frac{4 e^{5/2}+6 x^2+4 x^3}{x^3} \, dx","Integrate[(4*E^(5/2) + 6*x^2 + 4*x^3)/x^3,x]","-\frac{2 e^{5/2}}{x^2}+4 x+6 \log (x)","2 \left(\log \left(25 x^3\right)-\frac{e^{5/2}}{x^2}+2 x-3\right)",1,"(-2*E^(5/2))/x^2 + 4*x + 6*Log[x]","A",1
2465,1,17,19,0.0656627,"\int \frac{x-108 x^6+36 x^7-36 x^{12}+12 x^{13}+(-3+x) \log \left(e^{9+6 x^6+x^{12}} (12-4 x)\right)}{-3+x} \, dx","Integrate[(x - 108*x^6 + 36*x^7 - 36*x^12 + 12*x^13 + (-3 + x)*Log[E^(9 + 6*x^6 + x^12)*(12 - 4*x)])/(-3 + x),x]","x \log \left(-4 e^{\left(x^6+3\right)^2} (x-3)\right)","x \log \left(4 e^{\left(x^6+3\right)^2} (3-x)\right)",1,"x*Log[-4*E^(3 + x^6)^2*(-3 + x)]","A",1
2466,1,28,24,0.2154432,"\int \frac{\exp \left(e^{\frac{-10+4 x-x^2+4 x^4-x^5}{x+x^4}} x+\frac{-10+4 x-x^2+4 x^4-x^5}{x+x^4}\right) \left(10+x-x^2+40 x^3+2 x^4-2 x^5+x^7-x^8\right)}{x+2 x^4+x^7} \, dx","Integrate[(E^(E^((-10 + 4*x - x^2 + 4*x^4 - x^5)/(x + x^4))*x + (-10 + 4*x - x^2 + 4*x^4 - x^5)/(x + x^4))*(10 + x - x^2 + 40*x^3 + 2*x^4 - 2*x^5 + x^7 - x^8))/(x + 2*x^4 + x^7),x]","e^{e^{\frac{10 x^2}{x^3+1}-x-\frac{10}{x}+4} x}","e^{e^{2 \left(1-\frac{5}{x^4+x}\right)-x+2} x}",1,"E^(E^(4 - 10/x - x + (10*x^2)/(1 + x^3))*x)","A",1
2467,1,13,13,0.0033062,"\int \frac{1125 \log (2 x)-1125 \log ^2(2 x)}{8 x^3} \, dx","Integrate[(1125*Log[2*x] - 1125*Log[2*x]^2)/(8*x^3),x]","\frac{1125 \log ^2(2 x)}{16 x^2}","\frac{1125 \log ^2(2 x)}{16 x^2}",1,"(1125*Log[2*x]^2)/(16*x^2)","A",1
2468,1,26,33,1.9944753,"\int \frac{16384 x^5+\exp \left(\frac{256+e^{16}+768 x+864 x^2+176 x^3-495 x^4-432 x^5-12 x^6+144 x^7+54 x^8-16 x^9-12 x^{10}+x^{12}+e^{12} \left(16+12 x-4 x^3\right)+e^8 \left(96+144 x+54 x^2-48 x^3-36 x^4+6 x^6\right)+e^4 \left(256+576 x+432 x^2-84 x^3-288 x^4-108 x^5+48 x^6+36 x^7-4 x^9\right)}{65536 x^4}\right) \left(-256-e^{16}-576 x-432 x^2-44 x^3-108 x^5-6 x^6+108 x^7+54 x^8-20 x^9-18 x^{10}+2 x^{12}+e^{12} \left(-16-9 x+x^3\right)+e^8 \left(-96-108 x-27 x^2+12 x^3+3 x^6\right)+e^4 \left(-256-432 x-216 x^2+21 x^3-27 x^5+24 x^6+27 x^7-5 x^9\right)\right)}{16384 x^5} \, dx","Integrate[(16384*x^5 + E^((256 + E^16 + 768*x + 864*x^2 + 176*x^3 - 495*x^4 - 432*x^5 - 12*x^6 + 144*x^7 + 54*x^8 - 16*x^9 - 12*x^10 + x^12 + E^12*(16 + 12*x - 4*x^3) + E^8*(96 + 144*x + 54*x^2 - 48*x^3 - 36*x^4 + 6*x^6) + E^4*(256 + 576*x + 432*x^2 - 84*x^3 - 288*x^4 - 108*x^5 + 48*x^6 + 36*x^7 - 4*x^9))/(65536*x^4))*(-256 - E^16 - 576*x - 432*x^2 - 44*x^3 - 108*x^5 - 6*x^6 + 108*x^7 + 54*x^8 - 20*x^9 - 18*x^10 + 2*x^12 + E^12*(-16 - 9*x + x^3) + E^8*(-96 - 108*x - 27*x^2 + 12*x^3 + 3*x^6) + E^4*(-256 - 432*x - 216*x^2 + 21*x^3 - 27*x^5 + 24*x^6 + 27*x^7 - 5*x^9)))/(16384*x^5),x]","e^{\frac{\left(-x^3+3 x+e^4+4\right)^4}{65536 x^4}}+x","e^{\frac{\left(-x^2+\frac{4-x}{x}+\frac{e^4}{x}+4\right)^4}{65536}}+x",1,"E^((4 + E^4 + 3*x - x^3)^4/(65536*x^4)) + x","A",1
2469,1,26,34,0.2351644,"\int \frac{2-4 e^9 x+2 e^{18} x^2+\exp \left(\frac{e^9 x+\left(-1+e^9 x\right) \log (2) \log (3)}{-1+e^9 x}\right) \left(-2+2 e^9 x-2 e^{18} x^2\right)}{1-2 x+x^2+\exp \left(\frac{2 \left(e^9 x+\left(-1+e^9 x\right) \log (2) \log (3)\right)}{-1+e^9 x}\right) \left(1-2 e^9 x+e^{18} x^2\right)+e^9 \left(-2 x+4 x^2-2 x^3\right)+e^{18} \left(x^2-2 x^3+x^4\right)+\exp \left(\frac{e^9 x+\left(-1+e^9 x\right) \log (2) \log (3)}{-1+e^9 x}\right) \left(-2+2 x+e^9 \left(4 x-4 x^2\right)+e^{18} \left(-2 x^2+2 x^3\right)\right)} \, dx","Integrate[(2 - 4*E^9*x + 2*E^18*x^2 + E^((E^9*x + (-1 + E^9*x)*Log[2]*Log[3])/(-1 + E^9*x))*(-2 + 2*E^9*x - 2*E^18*x^2))/(1 - 2*x + x^2 + E^((2*(E^9*x + (-1 + E^9*x)*Log[2]*Log[3]))/(-1 + E^9*x))*(1 - 2*E^9*x + E^18*x^2) + E^9*(-2*x + 4*x^2 - 2*x^3) + E^18*(x^2 - 2*x^3 + x^4) + E^((E^9*x + (-1 + E^9*x)*Log[2]*Log[3])/(-1 + E^9*x))*(-2 + 2*x + E^9*(4*x - 4*x^2) + E^18*(-2*x^2 + 2*x^3))),x]","-\frac{2 x}{x+e^{\frac{1}{e^9 x-1}+1+\log (2) \log (3)}-1}","\frac{2 x}{-x-e^{\log (2) \log (3)-\frac{x}{\frac{1}{e^9}-x}}+1}-5",1,"(-2*x)/(-1 + E^(1 + (-1 + E^9*x)^(-1) + Log[2]*Log[3]) + x)","A",1
2470,1,13,15,0.1446106,"\int e^{e^{4 x}-2 e^{2 x} x+x^2} \left(4 e^{4 x}+e^{2 x} (-2-4 x)+2 x\right) \, dx","Integrate[E^(E^(4*x) - 2*E^(2*x)*x + x^2)*(4*E^(4*x) + E^(2*x)*(-2 - 4*x) + 2*x),x]","e^{\left(e^{2 x}-x\right)^2}","e^{\left(e^{2 x}-x\right)^2}-1",1,"E^(E^(2*x) - x)^2","A",1
2471,1,17,19,0.2561279,"\int \frac{100 x^2+\left(-8+100 x^3\right) \log (x)+\left(\left(4-500 x^2+100 x^3\right) \log (x)+100 x^2 \log (x) \log (\log (x))\right) \log \left(\frac{1-125 x^2+25 x^3+25 x^2 \log (\log (x))}{25 x^2}\right)}{\left(1-125 x^2+25 x^3\right) \log (x)+25 x^2 \log (x) \log (\log (x))} \, dx","Integrate[(100*x^2 + (-8 + 100*x^3)*Log[x] + ((4 - 500*x^2 + 100*x^3)*Log[x] + 100*x^2*Log[x]*Log[Log[x]])*Log[(1 - 125*x^2 + 25*x^3 + 25*x^2*Log[Log[x]])/(25*x^2)])/((1 - 125*x^2 + 25*x^3)*Log[x] + 25*x^2*Log[x]*Log[Log[x]]),x]","4 x \log \left(\frac{1}{25 x^2}+x+\log (\log (x))-5\right)","4 x \log \left(\frac{1}{25 x^2}+x+\log (\log (x))-5\right)+25",1,"4*x*Log[-5 + 1/(25*x^2) + x + Log[Log[x]]]","A",1
2472,1,44,12,0.0271146,"\int \frac{(-4+8 x) \log \left(\frac{e^{4 x}}{x^2}\right)}{x} \, dx","Integrate[((-4 + 8*x)*Log[E^(4*x)/x^2])/x,x]","\log ^2\left(\frac{1}{x^2}\right)+4 \log (x) \log \left(\frac{1}{x^2}\right)-4 \left(\log \left(\frac{e^{4 x}}{x^2}\right) (\log (x)-2 x)+4 x (x-\log (x))\right)","\log ^2\left(\frac{e^{4 x}}{x^2}\right)",1,"Log[x^(-2)]^2 + 4*Log[x^(-2)]*Log[x] - 4*(4*x*(x - Log[x]) + Log[E^(4*x)/x^2]*(-2*x + Log[x]))","B",1
2473,1,26,30,1.4498756,"\int \frac{e^{-e^x+x} \left(-1+5 x+2 x^2-x^3+e^x \left(-2-3 x+x^2+x^3\right)\right)}{(20+10 x) \left(2+5 x-5 x^3+x^5\right)} \, dx","Integrate[(E^(-E^x + x)*(-1 + 5*x + 2*x^2 - x^3 + E^x*(-2 - 3*x + x^2 + x^3)))/((20 + 10*x)*(2 + 5*x - 5*x^3 + x^5)),x]","-\frac{e^{x-e^x}}{10 \left(x^3+x^2-3 x-2\right)}","\frac{e^{x-e^x}}{5 (2 x+4) \left(-x^2+x+1\right)}",1,"-1/10*E^(-E^x + x)/(-2 - 3*x + x^2 + x^3)","A",1
2474,1,27,26,0.7713948,"\int \frac{-4 x^5 \log (x)+\left(-3 x-x^5+\left(-6 x-2 x^5\right) \log (x)\right) \log \left(\frac{e^5}{3+x^4}\right)+\left(24+24 x+8 x^4+8 x^5\right) \log ^2\left(\frac{e^5}{3+x^4}\right)}{\left(12+4 x^4\right) \log ^2\left(\frac{e^5}{3+x^4}\right)} \, dx","Integrate[(-4*x^5*Log[x] + (-3*x - x^5 + (-6*x - 2*x^5)*Log[x])*Log[E^5/(3 + x^4)] + (24 + 24*x + 8*x^4 + 8*x^5)*Log[E^5/(3 + x^4)]^2)/((12 + 4*x^4)*Log[E^5/(3 + x^4)]^2),x]","\frac{1}{4} x \left(-\frac{x \log (x)}{\log \left(\frac{1}{x^4+3}\right)+5}+4 x+8\right)","x \left(-\frac{x \log (x)}{4 \log \left(\frac{e^5}{x^4+3}\right)}+x+2\right)",1,"(x*(8 + 4*x - (x*Log[x])/(5 + Log[(3 + x^4)^(-1)])))/4","A",1
2475,1,16,26,0.001214,"\int \frac{4+3 x^2-4 x^3}{2 x^2} \, dx","Integrate[(4 + 3*x^2 - 4*x^3)/(2*x^2),x]","-x^2+\frac{3 x}{2}-\frac{2}{x}","-x^2+\frac{\frac{x^2}{2}-2}{x}+x-e^2+5",1,"-2/x + (3*x)/2 - x^2","A",1
2476,1,29,23,0.1842622,"\int \frac{-25+190 x-81 x^2-56 x^3+\left(-25+70 x+31 x^2\right) \log (x)+(-10-4 x) \log ^2(x)}{400 x^4+160 x^5+16 x^6+\left(-200 x^3-80 x^4-8 x^5\right) \log (x)+\left(25 x^2+10 x^3+x^4\right) \log ^2(x)} \, dx","Integrate[(-25 + 190*x - 81*x^2 - 56*x^3 + (-25 + 70*x + 31*x^2)*Log[x] + (-10 - 4*x)*Log[x]^2)/(400*x^4 + 160*x^5 + 16*x^6 + (-200*x^3 - 80*x^4 - 8*x^5)*Log[x] + (25*x^2 + 10*x^3 + x^4)*Log[x]^2),x]","-\frac{2}{5 (x+5)}+\frac{2}{5 x}+\frac{1}{x (\log (x)-4 x)}","\frac{-x+\frac{2}{x+5}+\frac{1}{\log (x)-4 x}}{x}",1,"2/(5*x) - 2/(5*(5 + x)) + 1/(x*(-4*x + Log[x]))","A",1
2477,1,44,35,0.11828,"\int \frac{800 x \log (2)+2 e x^2 \log ^2(2)+e^{5+e^x-x} \left(16 e^x x^3 \log (2)+\left(-16 x^2-16 x^3\right) \log (2)\right)}{40000+64 e^{10+2 e^x-2 x} x^2+\left(400 e x+800 x^2\right) \log (2)+\left(e^2 x^2+4 e x^3+4 x^4\right) \log ^2(2)+e^{5+e^x-x} \left(-3200 x+\left(-16 e x^2-32 x^3\right) \log (2)\right)} \, dx","Integrate[(800*x*Log[2] + 2*E*x^2*Log[2]^2 + E^(5 + E^x - x)*(16*E^x*x^3*Log[2] + (-16*x^2 - 16*x^3)*Log[2]))/(40000 + 64*E^(10 + 2*E^x - 2*x)*x^2 + (400*E*x + 800*x^2)*Log[2] + (E^2*x^2 + 4*E*x^3 + 4*x^4)*Log[2]^2 + E^(5 + E^x - x)*(-3200*x + (-16*E*x^2 - 32*x^3)*Log[2])),x]","\frac{2 e^x x^2 \log (2)}{e^x \left(x^2 \log (4)+200\right)-8 e^{e^x+5} x+e^{x+1} x \log (2)}","\frac{x}{x+\frac{4 \left(\frac{25}{x}-e^{-x+e^x+5}\right)}{\log (2)}+\frac{e}{2}}",1,"(2*E^x*x^2*Log[2])/(-8*E^(5 + E^x)*x + E^(1 + x)*x*Log[2] + E^x*(200 + x^2*Log[4]))","A",1
2478,1,20,21,0.0580128,"\int \frac{-3 e+\left(-12 e-8 x^3\right) \log (x)-12 e \log ^2(x)}{x^2+4 x^2 \log (x)+4 x^2 \log ^2(x)} \, dx","Integrate[(-3*E + (-12*E - 8*x^3)*Log[x] - 12*E*Log[x]^2)/(x^2 + 4*x^2*Log[x] + 4*x^2*Log[x]^2),x]","\frac{3 e}{x}-\frac{2 x^2}{2 \log (x)+1}","-\frac{x^2}{\log (x)+\frac{1}{2}}+\frac{3 e}{x}-3",1,"(3*E)/x - (2*x^2)/(1 + 2*Log[x])","A",1
2479,1,22,22,0.2137744,"\int \frac{20+e^2 (5-5 x)+e^{10} (5-5 x)-25 x+5 x^2+\left(-100+e^2 (-25-5 x)+e^{10} (-25-5 x)+30 x+10 x^2+\left(20+5 e^2+5 e^{10}-10 x\right) \log (x)\right) \log (5+x-\log (x))}{-5-x+\log (x)} \, dx","Integrate[(20 + E^2*(5 - 5*x) + E^10*(5 - 5*x) - 25*x + 5*x^2 + (-100 + E^2*(-25 - 5*x) + E^10*(-25 - 5*x) + 30*x + 10*x^2 + (20 + 5*E^2 + 5*E^10 - 10*x)*Log[x])*Log[5 + x - Log[x]])/(-5 - x + Log[x]),x]","5 \left(-x+e^{10}+e^2+4\right) x \log (x-\log (x)+5)","5 \left(-x+e^{10}+e^2+4\right) x \log (x-\log (x)+5)",1,"5*(4 + E^2 + E^10 - x)*x*Log[5 + x - Log[x]]","A",1
2480,1,26,18,0.0049556,"\int \frac{-2+4 x^2-2 x^3}{-2 x+x^2} \, dx","Integrate[(-2 + 4*x^2 - 2*x^3)/(-2*x + x^2),x]","-2 \left(\frac{x^2}{2}+\frac{1}{2} \log (2-x)-\frac{\log (x)}{2}\right)","\log \left(\frac{12 e^{-x^2} x}{2-x}\right)",1,"-2*(x^2/2 + Log[2 - x]/2 - Log[x]/2)","A",1
2481,1,35,25,0.033158,"\int \frac{-175+248 x-49 x^2+\left(-248+346 x-98 x^2\right) \log (-1+x)}{-25+25 x} \, dx","Integrate[(-175 + 248*x - 49*x^2 + (-248 + 346*x - 98*x^2)*Log[-1 + x])/(-25 + 25*x),x]","\frac{1}{25} \left(-49 x^2 \log (x-1)+248 x \log (x-1)+73 \log (1-x)-248 \log (x-1)\right)","\left(5-(2-x) \left(\frac{x}{25}-2 (x-3)\right)\right) \log (x-1)",1,"(73*Log[1 - x] - 248*Log[-1 + x] + 248*x*Log[-1 + x] - 49*x^2*Log[-1 + x])/25","A",1
2482,1,29,16,0.0786276,"\int \frac{-4 x^2+3 e^2 x^2+6 x^3+\left(4 x-4 e^2 x-8 x^2\right) \log \left(e^2+2 x\right)+\left(e^2+2 x\right) \log ^2\left(e^2+2 x\right)}{e^2+2 x} \, dx","Integrate[(-4*x^2 + 3*E^2*x^2 + 6*x^3 + (4*x - 4*E^2*x - 8*x^2)*Log[E^2 + 2*x] + (E^2 + 2*x)*Log[E^2 + 2*x]^2)/(E^2 + 2*x),x]","x^3-2 x^2 \log \left(2 x+e^2\right)+x \log ^2\left(2 x+e^2\right)","x \left(x-\log \left(2 x+e^2\right)\right)^2",1,"x^3 - 2*x^2*Log[E^2 + 2*x] + x*Log[E^2 + 2*x]^2","A",1
2483,1,23,23,0.0708995,"\int \frac{160+e^x (96-64 x)+32 x-64 x^2+\left(192 x-128 x^2\right) \log (x)}{-3 x^3+2 x^4+e^{3 x} (-3+2 x)+e^{2 x} \left(-9 x+6 x^2\right)+e^x \left(-9 x^2+6 x^3\right)+\left(-3 x^6+2 x^7\right) \log ^3(x)+\left(-9 x^2+6 x^3+e^{2 x} (-9+6 x)+e^x \left(-18 x+12 x^2\right)\right) \log \left(\frac{1}{-3+2 x}\right)+\left(-9 x+6 x^2+e^x (-9+6 x)\right) \log ^2\left(\frac{1}{-3+2 x}\right)+(-3+2 x) \log ^3\left(\frac{1}{-3+2 x}\right)+\log ^2(x) \left(-9 x^5+6 x^6+e^x \left(-9 x^4+6 x^5\right)+\left(-9 x^4+6 x^5\right) \log \left(\frac{1}{-3+2 x}\right)\right)+\log (x) \left(-9 x^4+6 x^5+e^{2 x} \left(-9 x^2+6 x^3\right)+e^x \left(-18 x^3+12 x^4\right)+\left(-18 x^3+12 x^4+e^x \left(-18 x^2+12 x^3\right)\right) \log \left(\frac{1}{-3+2 x}\right)+\left(-9 x^2+6 x^3\right) \log ^2\left(\frac{1}{-3+2 x}\right)\right)} \, dx","Integrate[(160 + E^x*(96 - 64*x) + 32*x - 64*x^2 + (192*x - 128*x^2)*Log[x])/(-3*x^3 + 2*x^4 + E^(3*x)*(-3 + 2*x) + E^(2*x)*(-9*x + 6*x^2) + E^x*(-9*x^2 + 6*x^3) + (-3*x^6 + 2*x^7)*Log[x]^3 + (-9*x^2 + 6*x^3 + E^(2*x)*(-9 + 6*x) + E^x*(-18*x + 12*x^2))*Log[(-3 + 2*x)^(-1)] + (-9*x + 6*x^2 + E^x*(-9 + 6*x))*Log[(-3 + 2*x)^(-1)]^2 + (-3 + 2*x)*Log[(-3 + 2*x)^(-1)]^3 + Log[x]^2*(-9*x^5 + 6*x^6 + E^x*(-9*x^4 + 6*x^5) + (-9*x^4 + 6*x^5)*Log[(-3 + 2*x)^(-1)]) + Log[x]*(-9*x^4 + 6*x^5 + E^(2*x)*(-9*x^2 + 6*x^3) + E^x*(-18*x^3 + 12*x^4) + (-18*x^3 + 12*x^4 + E^x*(-18*x^2 + 12*x^3))*Log[(-3 + 2*x)^(-1)] + (-9*x^2 + 6*x^3)*Log[(-3 + 2*x)^(-1)]^2)),x]","\frac{16}{\left(x^2 \log (x)+x+e^x+\log \left(\frac{1}{2 x-3}\right)\right)^2}","\frac{16}{\left(x^2 \log (x)+x+e^x+\log \left(\frac{1}{2 x-3}\right)\right)^2}",1,"16/(E^x + x + x^2*Log[x] + Log[(-3 + 2*x)^(-1)])^2","A",1
2484,1,26,27,0.2848664,"\int \frac{34+4 x-4 x^2-2 e^x x^2+e^{3 x} x^3+e^{2 x} \left(-16 x+2 x^3\right)+\left(2-e^{2 x} x\right) \log \left(e^{-2 x} \left(-2+e^{2 x} x\right)\right)}{-2 x^2+e^{2 x} x^3} \, dx","Integrate[(34 + 4*x - 4*x^2 - 2*E^x*x^2 + E^(3*x)*x^3 + E^(2*x)*(-16*x + 2*x^3) + (2 - E^(2*x)*x)*Log[(-2 + E^(2*x)*x)/E^(2*x)])/(-2*x^2 + E^(2*x)*x^3),x]","2 x+e^x+\frac{17}{x}+\frac{\log \left(x-2 e^{-2 x}\right)}{x}","2 x+e^x+\frac{17}{x}+\frac{\log \left(x-2 e^{-2 x}\right)}{x}-3",1,"E^x + 17/x + 2*x + Log[-2/E^(2*x) + x]/x","A",1
2485,1,26,29,0.1556038,"\int \frac{\left(\frac{3+3 x}{x}\right)^{\frac{e^{e^4 x} (5-x)}{x}} \left(\left(2 x+2 x^2\right) \log \left(\frac{3+3 x}{x}\right)+e^{e^4 x} \log \left(\frac{3+3 x}{x}\right) \left(-10+2 x+\left(-10-10 x+e^4 \left(10 x+8 x^2-2 x^3\right)\right) \log \left(\frac{3+3 x}{x}\right)\right)\right)}{\left(x+x^2\right) \log \left(\frac{3+3 x}{x}\right)} \, dx","Integrate[(((3 + 3*x)/x)^((E^(E^4*x)*(5 - x))/x)*((2*x + 2*x^2)*Log[(3 + 3*x)/x] + E^(E^4*x)*Log[(3 + 3*x)/x]*(-10 + 2*x + (-10 - 10*x + E^4*(10*x + 8*x^2 - 2*x^3))*Log[(3 + 3*x)/x])))/((x + x^2)*Log[(3 + 3*x)/x]),x]","2 \left(\frac{3}{x}+3\right)^{-\frac{e^{e^4 x} (x-5)}{x}} x","2 x \left(\frac{3}{x}+3\right)^{\frac{e^{e^4 x} (5-x)}{x}}+4",1,"(2*x)/(3 + 3/x)^((E^(E^4*x)*(-5 + x))/x)","A",1
2486,1,41,21,0.0441021,"\int \frac{1}{25} \left(-175+25 x+4 e^{-8 x} \left(-70+580 x-80 x^2\right)+16 e^{-16 x} \left(4 x-32 x^2\right)\right) \, dx","Integrate[(-175 + 25*x + (4*(-70 + 580*x - 80*x^2))/E^(8*x) + (16*(4*x - 32*x^2))/E^(16*x))/25,x]","\frac{32}{25} e^{-16 x} x^2+\frac{x^2}{2}-\frac{8}{5} e^{-8 x} \left(7 x-x^2\right)-7 x","\frac{1}{2} \left(-\frac{8}{5} e^{-8 x} x-x+7\right)^2",1,"-7*x + x^2/2 + (32*x^2)/(25*E^(16*x)) - (8*(7*x - x^2))/(5*E^(8*x))","A",1
2487,1,24,20,0.1364294,"\int \frac{e^{\frac{125+50 x+5 x^2+153 x^6+x^7}{5 x^6}} \left(-750-250 x-20 x^2+x^7\right)}{5 x^7} \, dx","Integrate[(E^((125 + 50*x + 5*x^2 + 153*x^6 + x^7)/(5*x^6))*(-750 - 250*x - 20*x^2 + x^7))/(5*x^7),x]","e^{\frac{25}{x^6}+\frac{10}{x^5}+\frac{1}{x^4}+\frac{x}{5}+\frac{153}{5}}","e^{\frac{(x+5)^2}{x^6}+\frac{x+3}{5}+30}",1,"E^(153/5 + 25/x^6 + 10/x^5 + x^(-4) + x/5)","A",1
2488,1,22,27,0.0224308,"\int \frac{450+180 x+30 x^2+e^3 \left(-270 x^2-60 x^3\right)}{25 x^2+10 x^3+x^4+e^6 x^6+e^3 \left(-10 x^4-2 x^5\right)} \, dx","Integrate[(450 + 180*x + 30*x^2 + E^3*(-270*x^2 - 60*x^3))/(25*x^2 + 10*x^3 + x^4 + E^6*x^6 + E^3*(-10*x^4 - 2*x^5)),x]","-\frac{30 (x+3)}{-e^3 x^3+x^2+5 x}","\frac{2}{e^6}-\frac{30 (x+3)}{x \left(-e^3 x^2+x+5\right)}",1,"(-30*(3 + x))/(5*x + x^2 - E^3*x^3)","A",1
2489,1,21,16,0.2215152,"\int \frac{e^{4+x} \left(2 x-x^2\right)+e^8 \left(48 x+4 x^2\right)}{e^{2 x}+e^{4+x} (48+8 x)+e^8 \left(576+192 x+16 x^2\right)} \, dx","Integrate[(E^(4 + x)*(2*x - x^2) + E^8*(48*x + 4*x^2))/(E^(2*x) + E^(4 + x)*(48 + 8*x) + E^8*(576 + 192*x + 16*x^2)),x]","\frac{e^4 x^2}{4 e^4 (x+6)+e^x}","\frac{x^2}{4 x+e^{x-4}+24}",1,"(E^4*x^2)/(E^x + 4*E^4*(6 + x))","A",1
2490,1,19,23,0.0134074,"\int \frac{2+\left(x^2+2 e^x x^2\right) \log (\log (3))}{2 x^2 \log (\log (3))} \, dx","Integrate[(2 + (x^2 + 2*E^x*x^2)*Log[Log[3]])/(2*x^2*Log[Log[3]]),x]","\frac{x}{2}+e^x-\frac{1}{x \log (\log (3))}","\frac{x}{2}+e^x-\frac{1}{x \log (\log (3))}+e^3+7",1,"E^x + x/2 - 1/(x*Log[Log[3]])","A",1
2491,1,46,31,0.1602942,"\int \frac{1536-256 x+2528 x^2-1072 x^3+192 x^4+336 x^5-32 x^6-32 x^7+\left(768 x-128 x^2+128 x^3-384 x^4\right) \log (-2+x)+\left(-512+256 x-1024 x^2+512 x^3\right) \log ^2(-2+x)+\left(-512 x+1216 x^2+416 x^3-160 x^4-64 x^5+\left(-1280 x-128 x^2+256 x^3\right) \log (-2+x)\right) \log (x)}{-4608 x-768 x^2+2752 x^3+1120 x^4-450 x^5-359 x^6-32 x^7+30 x^8+10 x^9+x^{10}+\left(-4608 x^2-768 x^3+1888 x^4+688 x^5-144 x^6-112 x^7-16 x^8\right) \log (-2+x)+\left(3072 x-512 x^2-2240 x^3-288 x^4+384 x^5+96 x^6\right) \log ^2(-2+x)+\left(1536 x^2-256 x^3-256 x^4\right) \log ^3(-2+x)+\left(-512 x+256 x^2\right) \log ^4(-2+x)} \, dx","Integrate[(1536 - 256*x + 2528*x^2 - 1072*x^3 + 192*x^4 + 336*x^5 - 32*x^6 - 32*x^7 + (768*x - 128*x^2 + 128*x^3 - 384*x^4)*Log[-2 + x] + (-512 + 256*x - 1024*x^2 + 512*x^3)*Log[-2 + x]^2 + (-512*x + 1216*x^2 + 416*x^3 - 160*x^4 - 64*x^5 + (-1280*x - 128*x^2 + 256*x^3)*Log[-2 + x])*Log[x])/(-4608*x - 768*x^2 + 2752*x^3 + 1120*x^4 - 450*x^5 - 359*x^6 - 32*x^7 + 30*x^8 + 10*x^9 + x^10 + (-4608*x^2 - 768*x^3 + 1888*x^4 + 688*x^5 - 144*x^6 - 112*x^7 - 16*x^8)*Log[-2 + x] + (3072*x - 512*x^2 - 2240*x^3 - 288*x^4 + 384*x^5 + 96*x^6)*Log[-2 + x]^2 + (1536*x^2 - 256*x^3 - 256*x^4)*Log[-2 + x]^3 + (-512*x + 256*x^2)*Log[-2 + x]^4),x]","\frac{16 \left(x^2+\log (x)\right)}{x^4+6 x^3+9 x^2-16 x+16 \log ^2(x-2)-8 (x+3) x \log (x-2)-48}","\frac{x^2+\log (x)}{-x+\left(\frac{1}{4} x (x+3)-\log (x-2)\right)^2-3}",1,"(16*(x^2 + Log[x]))/(-48 - 16*x + 9*x^2 + 6*x^3 + x^4 - 8*x*(3 + x)*Log[-2 + x] + 16*Log[-2 + x]^2)","A",1
2492,1,33,31,0.0933705,"\int \frac{4-2 x+4 x^3+e^x \left(2-2 x^2\right)+e^{3 x} \left(4+e^x (2-8 x)-12 x+8 x^2+6 x^3\right)+\left(-4-2 x^2+e^x (-2+2 x)\right) \log (x)}{-2 x^2-e^x x^2+x^3+x^4+e^{3 x} \left(-2 x-e^x x+x^2+x^3\right)+\left(2 x+e^x x-x^2-x^3\right) \log (x)} \, dx","Integrate[(4 - 2*x + 4*x^3 + E^x*(2 - 2*x^2) + E^(3*x)*(4 + E^x*(2 - 8*x) - 12*x + 8*x^2 + 6*x^3) + (-4 - 2*x^2 + E^x*(-2 + 2*x))*Log[x])/(-2*x^2 - E^x*x^2 + x^3 + x^4 + E^(3*x)*(-2*x - E^x*x + x^2 + x^3) + (2*x + E^x*x - x^2 - x^3)*Log[x]),x]","2 \left(\log \left(-x^2-x+e^x+2\right)-\log (x)+\log \left(x+e^{3 x}-\log (x)\right)\right)","\log \left(\frac{\left(x^2+x-e^x-2\right)^2 \left(x+e^{3 x}-\log (x)\right)^2}{x^2}\right)",1,"2*(-Log[x] + Log[2 + E^x - x - x^2] + Log[E^(3*x) + x - Log[x]])","A",1
2493,1,40,19,0.0198425,"\int \frac{-16+24 x^2-16 x^3+3 x^4+\left(-32+24 x^2-8 x^3\right) \log (25)+\left(-24+6 x^2\right) \log ^2(25)-8 \log ^3(25)-\log ^4(25)}{x^2} \, dx","Integrate[(-16 + 24*x^2 - 16*x^3 + 3*x^4 + (-32 + 24*x^2 - 8*x^3)*Log[25] + (-24 + 6*x^2)*Log[25]^2 - 8*Log[25]^3 - Log[25]^4)/x^2,x]","x^3-4 x^2 (2+\log (25))+6 x (2+\log (25))^2+\frac{(2+\log (25))^4}{x}-3 (2+\log (25))^3","\frac{\left(-x^2+2 x+x \log (25)\right)^4}{x^5}",1,"x^3 - 4*x^2*(2 + Log[25]) + 6*x*(2 + Log[25])^2 - 3*(2 + Log[25])^3 + (2 + Log[25])^4/x","B",1
2494,1,48,35,0.0405848,"\int \frac{24+21 x+6 x^2-22 x^3-12 x^4+6 x^5+e^x \left(18 x^3+12 x^4+2 x^5-12 x^6-4 x^7+2 x^9\right)}{18 x^3+12 x^4+2 x^5-12 x^6-4 x^7+2 x^9} \, dx","Integrate[(24 + 21*x + 6*x^2 - 22*x^3 - 12*x^4 + 6*x^5 + E^x*(18*x^3 + 12*x^4 + 2*x^5 - 12*x^6 - 4*x^7 + 2*x^9))/(18*x^3 + 12*x^4 + 2*x^5 - 12*x^6 - 4*x^7 + 2*x^9),x]","\frac{1}{2} \left(-\frac{4}{3 x^2}+\frac{5 x^2+12 x-23}{9 \left(x^3-x-3\right)}+2 e^x-\frac{5}{9 x}\right)","\frac{1}{4} \left(1-\frac{2 \left(2 x-\frac{4}{x}-3\right)}{x \left(x^3-x-3\right)}\right)+e^x",1,"(2*E^x - 4/(3*x^2) - 5/(9*x) + (-23 + 12*x + 5*x^2)/(9*(-3 - x + x^3)))/2","A",1
2495,1,17,17,0.0019131,"\int \frac{-20+5 x^2-174 x^3}{25 x^3} \, dx","Integrate[(-20 + 5*x^2 - 174*x^3)/(25*x^3),x]","\frac{1}{25} \left(\frac{10}{x^2}-174 x+5 \log (x)\right)","\frac{1}{5} \left(\frac{2}{x^2}-\frac{174 x}{5}+\log (x)\right)",1,"(10/x^2 - 174*x + 5*Log[x])/25","A",1
2496,1,10,18,0.0373141,"\int \frac{-2-2 x+x \log (x)}{\left(x+x^2\right) \log (x)} \, dx","Integrate[(-2 - 2*x + x*Log[x])/((x + x^2)*Log[x]),x]","\log (x+1)-2 \log (\log (x))","e^2-\log \left(\frac{16 \log ^2(x)}{x+1}\right)",1,"Log[1 + x] - 2*Log[Log[x]]","A",1
2497,1,29,13,0.0052386,"\int \frac{1296+e^4 (360+144 x)+e^8 \left(10 x+3 x^2\right)}{e^8} \, dx","Integrate[(1296 + E^4*(360 + 144*x) + E^8*(10*x + 3*x^2))/E^8,x]","x^3+\frac{72 x^2}{e^4}+5 x^2+\frac{360 x}{e^4}+\frac{1296 x}{e^8}","(x+5) \left(x+\frac{36}{e^4}\right)^2",1,"(1296*x)/E^8 + (360*x)/E^4 + 5*x^2 + (72*x^2)/E^4 + x^3","B",1
2498,1,28,33,0.3559403,"\int \frac{-x-2 x^2+e^{\frac{2-5 e^{e^{x^2}} x^2}{x}} \left(2+e^{e^{x^2}} \left(5 x^2+10 e^{x^2} x^4\right)\right)}{x^2} \, dx","Integrate[(-x - 2*x^2 + E^((2 - 5*E^E^x^2*x^2)/x)*(2 + E^E^x^2*(5*x^2 + 10*E^x^2*x^4)))/x^2,x]","-e^{\frac{2}{x}-5 e^{e^{x^2}} x}-2 x-\log (x)","-\log \left(\frac{1}{2} e^{e^{\frac{2}{x}-5 e^{e^{x^2}} x}} x\right)-2 x+3",1,"-E^(2/x - 5*E^E^x^2*x) - 2*x - Log[x]","A",1
2499,1,24,24,0.007732,"\int \frac{2 e^5 \left(120-60 x-4 x^3\right)}{\left(-3 x+x^2\right) \left(-3 x^2+x^3+\left(-3 x^2+x^3\right) \log (4)\right)} \, dx","Integrate[(2*E^5*(120 - 60*x - 4*x^3))/((-3*x + x^2)*(-3*x^2 + x^3 + (-3*x^2 + x^3)*Log[4])),x]","\frac{8 e^5 \left(x^2+5\right)}{(x-3) x^2 (1+\log (4))}","\frac{8 e^5 \left(x^2+5\right)}{(x-3) x^2 (1+\log (4))}",1,"(8*E^5*(5 + x^2))/((-3 + x)*x^2*(1 + Log[4]))","A",1
2500,1,16,17,0.0233918,"\int e^{-4+e^{e^e}-x} \left(1+e^{4-e^{e^e}+x}-x\right) \, dx","Integrate[E^(-4 + E^E^E - x)*(1 + E^(4 - E^E^E + x) - x),x]","e^{-x+e^{e^e}-4} x+x","e^{-x+e^{e^e}-4} x+x+5",1,"x + E^(-4 + E^E^E - x)*x","A",1
2501,0,0,24,7.3420852,"\int \frac{\exp \left(\frac{64+16 e^{40+2 x}+e^{20+x} (-64-128 \log (5))+256 \log (5)+256 \log ^2(5)}{x^2}\right) \left(-1280+e^{40+2 x} (-320+320 x)-5120 \log (5)-5120 \log ^2(5)+e^{20+x} (1280-640 x+(2560-1280 x) \log (5))\right)}{x^3} \, dx","Integrate[(E^((64 + 16*E^(40 + 2*x) + E^(20 + x)*(-64 - 128*Log[5]) + 256*Log[5] + 256*Log[5]^2)/x^2)*(-1280 + E^(40 + 2*x)*(-320 + 320*x) - 5120*Log[5] - 5120*Log[5]^2 + E^(20 + x)*(1280 - 640*x + (2560 - 1280*x)*Log[5])))/x^3,x]","\int \frac{\exp \left(\frac{64+16 e^{40+2 x}+e^{20+x} (-64-128 \log (5))+256 \log (5)+256 \log ^2(5)}{x^2}\right) \left(-1280+e^{40+2 x} (-320+320 x)-5120 \log (5)-5120 \log ^2(5)+e^{20+x} (1280-640 x+(2560-1280 x) \log (5))\right)}{x^3} \, dx","10 e^{\frac{16 \left(-e^{x+20}+2+4 \log (5)\right)^2}{x^2}}",1,"Integrate[(E^((64 + 16*E^(40 + 2*x) + E^(20 + x)*(-64 - 128*Log[5]) + 256*Log[5] + 256*Log[5]^2)/x^2)*(-1280 + E^(40 + 2*x)*(-320 + 320*x) - 5120*Log[5] - 5120*Log[5]^2 + E^(20 + x)*(1280 - 640*x + (2560 - 1280*x)*Log[5])))/x^3, x]","F",-1
2502,1,16,14,0.0514853,"\int \frac{4+9 x+(1+3 x) \log (x)+(3+\log (x)) \log (3+\log (x))}{3+\log (x)} \, dx","Integrate[(4 + 9*x + (1 + 3*x)*Log[x] + (3 + Log[x])*Log[3 + Log[x]])/(3 + Log[x]),x]","\frac{3 x^2}{2}+x+x \log (\log (x)+3)","x \left(\frac{3 x}{2}+\log (\log (x)+3)+1\right)",1,"x + (3*x^2)/2 + x*Log[3 + Log[x]]","A",1
2503,1,33,34,0.0629671,"\int \frac{e^{-x} \left(-4 e^{28}+e^2 \left(-3-x^2\right)+e^x \left(-9 x-12 e^{26} x+3 x^2+3 x^3\right)+\left(-4 e^{28} x+e^2 \left(-3 x+x^2+x^3\right)\right) \log \left(\frac{3+4 e^{26}-x-x^2}{x}\right)\right)}{9 x+12 e^{26} x-3 x^2-3 x^3} \, dx","Integrate[(-4*E^28 + E^2*(-3 - x^2) + E^x*(-9*x - 12*E^26*x + 3*x^2 + 3*x^3) + (-4*E^28*x + E^2*(-3*x + x^2 + x^3))*Log[(3 + 4*E^26 - x - x^2)/x])/(E^x*(9*x + 12*E^26*x - 3*x^2 - 3*x^3)),x]","\frac{1}{3} \left(e^{2-x} \log \left(-\frac{x^2+x-4 e^{26}-3}{x}\right)-3 x\right)","\frac{1}{3} e^{2-x} \log \left(\frac{-x+4 e^{26}+3}{x}-x\right)-x",1,"(-3*x + E^(2 - x)*Log[-((-3 - 4*E^26 + x + x^2)/x)])/3","A",1
2504,1,54,34,0.0473047,"\int \frac{e^4 (-4-2 x)-11 x^2-8 e^{15} x^2-e^{20} x^2-8 x^3-x^4+e^8 (4+2 x)+e^5 \left(-4 e^4+4 e^8-28 x^2-8 x^3\right)+e^{10} \left(-e^4+e^8-23 x^2-2 x^3\right)}{16 x^2+8 e^{15} x^2+e^{20} x^2+8 x^3+x^4+e^{10} \left(24 x^2+2 x^3\right)+e^5 \left(32 x^2+8 x^3\right)} \, dx","Integrate[(E^4*(-4 - 2*x) - 11*x^2 - 8*E^15*x^2 - E^20*x^2 - 8*x^3 - x^4 + E^8*(4 + 2*x) + E^5*(-4*E^4 + 4*E^8 - 28*x^2 - 8*x^3) + E^10*(-E^4 + E^8 - 23*x^2 - 2*x^3))/(16*x^2 + 8*E^15*x^2 + E^20*x^2 + 8*x^3 + x^4 + E^10*(24*x^2 + 2*x^3) + E^5*(32*x^2 + 8*x^3)),x]","-\frac{x \left(x^2+4 x+5\right)+e^{10} x (x+1)+4 e^5 x (x+1)+e^8-e^4}{x \left(x+e^{10}+4 e^5+4\right)}","\frac{\frac{-x-e^8+e^4}{x}+x}{x+\left(2+e^5\right)^2}-x",1,"-((-E^4 + E^8 + 4*E^5*x*(1 + x) + E^10*x*(1 + x) + x*(5 + 4*x + x^2))/(x*(4 + 4*E^5 + E^10 + x)))","A",1
2505,1,14,21,0.0032876,"\int \frac{1+2 x^3+10 \log (3)}{x^2} \, dx","Integrate[(1 + 2*x^3 + 10*Log[3])/x^2,x]","x^2+\frac{-1-10 \log (3)}{x}","x^2-\frac{1}{x}-2 \left(\frac{5 \log (3)}{x}+4\right)+3",1,"x^2 + (-1 - 10*Log[3])/x","A",1
2506,1,33,30,0.0507399,"\int \frac{1}{9} \left(9+e^{\frac{1}{9} \left(1314-198 e^5+9 e^{10}+x^2-6 x^3+9 x^4\right)} \left(9+2 x^2-18 x^3+36 x^4\right)\right) \, dx","Integrate[(9 + E^((1314 - 198*E^5 + 9*E^10 + x^2 - 6*x^3 + 9*x^4)/9)*(9 + 2*x^2 - 18*x^3 + 36*x^4))/9,x]","\left(e^{x^4-\frac{2 x^3}{3}+\frac{x^2}{9}+e^{10}-22 e^5+146}+1\right) x","e^{\left(\frac{x}{3}-x^2\right)^2+\left(11-e^5\right)^2+25} x+x",1,"(1 + E^(146 - 22*E^5 + E^10 + x^2/9 - (2*x^3)/3 + x^4))*x","A",1
2507,0,0,37,4.0133903,"\int \frac{-40000+36000 x-30800 x^2+25080 x^3-10800 x^4+2160 x^5-226 x^6+e^{2 x} \left(-1200 x^2+1560 x^3-1920 x^4+828 x^5-108 x^6\right)+e^{4 x} \left(4 x^5-2 x^6\right)+e^{3 x} \left(-40 x^3+120 x^4-116 x^5+24 x^6\right)+e^x \left(-12000 x+11200 x^2-12680 x^3+8280 x^4-2268 x^5+216 x^6\right)}{10000 x-12000 x^2+5400 x^3-1080 x^4+113 x^5+e^{4 x} x^5+e^x \left(4000 x^2-3600 x^3+1080 x^4-108 x^5\right)+e^{3 x} \left(40 x^4-12 x^5\right)+e^{2 x} \left(600 x^3-360 x^4+54 x^5\right)} \, dx","Integrate[(-40000 + 36000*x - 30800*x^2 + 25080*x^3 - 10800*x^4 + 2160*x^5 - 226*x^6 + E^(2*x)*(-1200*x^2 + 1560*x^3 - 1920*x^4 + 828*x^5 - 108*x^6) + E^(4*x)*(4*x^5 - 2*x^6) + E^(3*x)*(-40*x^3 + 120*x^4 - 116*x^5 + 24*x^6) + E^x*(-12000*x + 11200*x^2 - 12680*x^3 + 8280*x^4 - 2268*x^5 + 216*x^6))/(10000*x - 12000*x^2 + 5400*x^3 - 1080*x^4 + 113*x^5 + E^(4*x)*x^5 + E^x*(4000*x^2 - 3600*x^3 + 1080*x^4 - 108*x^5) + E^(3*x)*(40*x^4 - 12*x^5) + E^(2*x)*(600*x^3 - 360*x^4 + 54*x^5)),x]","\int \frac{-40000+36000 x-30800 x^2+25080 x^3-10800 x^4+2160 x^5-226 x^6+e^{2 x} \left(-1200 x^2+1560 x^3-1920 x^4+828 x^5-108 x^6\right)+e^{4 x} \left(4 x^5-2 x^6\right)+e^{3 x} \left(-40 x^3+120 x^4-116 x^5+24 x^6\right)+e^x \left(-12000 x+11200 x^2-12680 x^3+8280 x^4-2268 x^5+216 x^6\right)}{10000 x-12000 x^2+5400 x^3-1080 x^4+113 x^5+e^{4 x} x^5+e^x \left(4000 x^2-3600 x^3+1080 x^4-108 x^5\right)+e^{3 x} \left(40 x^4-12 x^5\right)+e^{2 x} \left(600 x^3-360 x^4+54 x^5\right)} \, dx","\log \left(\left(\frac{4}{x}-\frac{\frac{1}{2} \left(1-e^x\right) x+x-1}{x}\right)^4+2\right)-x^2",1,"Integrate[(-40000 + 36000*x - 30800*x^2 + 25080*x^3 - 10800*x^4 + 2160*x^5 - 226*x^6 + E^(2*x)*(-1200*x^2 + 1560*x^3 - 1920*x^4 + 828*x^5 - 108*x^6) + E^(4*x)*(4*x^5 - 2*x^6) + E^(3*x)*(-40*x^3 + 120*x^4 - 116*x^5 + 24*x^6) + E^x*(-12000*x + 11200*x^2 - 12680*x^3 + 8280*x^4 - 2268*x^5 + 216*x^6))/(10000*x - 12000*x^2 + 5400*x^3 - 1080*x^4 + 113*x^5 + E^(4*x)*x^5 + E^x*(4000*x^2 - 3600*x^3 + 1080*x^4 - 108*x^5) + E^(3*x)*(40*x^4 - 12*x^5) + E^(2*x)*(600*x^3 - 360*x^4 + 54*x^5)), x]","F",-1
2508,1,33,31,0.2063846,"\int \frac{240 x^2+100 x^3+e^x \left(240 x+100 x^2\right)+\left(-120 x+50 x^2+e^x \left(-20 x-50 x^2\right)\right) \log (x)+\left(e^x (-120-50 x)-120 x-50 x^2+\left(e^x (-120-50 x)-120 x-50 x^2\right) \log (x)\right) \log \left(\frac{144+120 x+25 x^2}{e^x+x}\right)}{\left(12 x^3+5 x^4+e^x \left(12 x^2+5 x^3\right)\right) \log ^2(x)} \, dx","Integrate[(240*x^2 + 100*x^3 + E^x*(240*x + 100*x^2) + (-120*x + 50*x^2 + E^x*(-20*x - 50*x^2))*Log[x] + (E^x*(-120 - 50*x) - 120*x - 50*x^2 + (E^x*(-120 - 50*x) - 120*x - 50*x^2)*Log[x])*Log[(144 + 120*x + 25*x^2)/(E^x + x)])/((12*x^3 + 5*x^4 + E^x*(12*x^2 + 5*x^3))*Log[x]^2),x]","10 \left(\frac{\log \left(\frac{(5 x+12)^2}{x+e^x}\right)}{x \log (x)}-\frac{2}{\log (x)}\right)","\frac{10 \left(\log \left(\frac{(x+4 (x+3))^2}{x+e^x}\right)-2 x\right)}{x \log (x)}",1,"10*(-2/Log[x] + Log[(12 + 5*x)^2/(E^x + x)]/(x*Log[x]))","A",1
2509,1,25,22,0.278306,"\int \frac{e^{-5 x} \left(e^{2 e^{-5 x}} \left(-2 e^{5 x}-10 x\right)-e^{5 x} x^3 \log (4)\right)}{x^3 \log (4)} \, dx","Integrate[(E^(2/E^(5*x))*(-2*E^(5*x) - 10*x) - E^(5*x)*x^3*Log[4])/(E^(5*x)*x^3*Log[4]),x]","-\frac{x \log (4)-\frac{e^{2 e^{-5 x}}}{x^2}}{\log (4)}","\frac{e^{2 e^{-5 x}}}{x^2 \log (4)}-x-5",1,"-((-(E^(2/E^(5*x))/x^2) + x*Log[4])/Log[4])","A",1
2510,1,33,30,0.0356135,"\int \frac{-450+1200 x+115 x^2-2840 x^3+2920 x^4-1080 x^5+135 x^6+e \left(750-2000 x+750 x^2\right)}{243 x^2-648 x^3+594 x^4-216 x^5+27 x^6} \, dx","Integrate[(-450 + 1200*x + 115*x^2 - 2840*x^3 + 2920*x^4 - 1080*x^5 + 135*x^6 + E*(750 - 2000*x + 750*x^2))/(243*x^2 - 648*x^3 + 594*x^4 - 216*x^5 + 27*x^6),x]","\frac{5}{81} \left(\frac{50 e (x-4)}{x^2-4 x+3}+81 x+\frac{30-50 e}{x}\right)","5 \left(x-\frac{10 \left(\frac{5 e}{(1-x) (3-x)}-1\right)}{27 x}\right)",1,"(5*((30 - 50*E)/x + 81*x + (50*E*(-4 + x))/(3 - 4*x + x^2)))/81","A",1
2511,1,31,21,0.0954564,"\int \frac{-1+2 x+e^{2 x} x+3 x^2+e^x \left(-1+4 x+x^2\right)+\left(x+e^x x\right) \log \left(\frac{e^{e^x+3 x}}{x}\right)}{x} \, dx","Integrate[(-1 + 2*x + E^(2*x)*x + 3*x^2 + E^x*(-1 + 4*x + x^2) + (x + E^x*x)*Log[E^(E^x + 3*x)/x])/x,x]","3 x+e^x+\left(x+e^x\right) \log \left(\frac{e^{3 x+e^x}}{x}\right)-\log (x)","\left(x+e^x+1\right) \log \left(\frac{e^{3 x+e^x}}{x}\right)",1,"E^x + 3*x + (E^x + x)*Log[E^(E^x + 3*x)/x] - Log[x]","A",1
2512,1,32,31,0.1365291,"\int \frac{e^{3/x} \left(-30 e^3-30 x\right)+e^{6/x} \left(-6 e^3-6 x\right)-32 x^2-e^3 x^2-x^3}{32 e^3 x^2+32 x^3} \, dx","Integrate[(E^(3/x)*(-30*E^3 - 30*x) + E^(6/x)*(-6*E^3 - 6*x) - 32*x^2 - E^3*x^2 - x^3)/(32*E^3*x^2 + 32*x^3),x]","\frac{1}{32} \left(-x+10 e^{3/x}+e^{6/x}-32 \log \left(x+e^3\right)\right)","\log \left(\frac{2 e^{\frac{1}{32} \left(\left(e^{3/x}+5\right)^2-x\right)}}{x+e^3}\right)",1,"(10*E^(3/x) + E^(6/x) - x - 32*Log[E^3 + x])/32","A",1
2513,1,66,28,0.0043951,"\int \frac{e^{4 \log ^2(2)} \left(40-24 x^2\right) \left(100 x^2-40 x^4+4 x^6\right)^4}{-5 x+x^3} \, dx","Integrate[(E^(4*Log[2]^2)*(40 - 24*x^2)*(100*x^2 - 40*x^4 + 4*x^6)^4)/(-5*x + x^3),x]","-2048 \left(\frac{x^{24}}{8}-5 x^{22}+\frac{175 x^{20}}{2}-875 x^{18}+\frac{21875 x^{16}}{4}-21875 x^{14}+\frac{109375 x^{12}}{2}-78125 x^{10}+\frac{390625 x^8}{8}\right) e^{4 \log ^2(2)}","e^3-e^{4 \left(\log \left(4 x^2 \left(x^2-5\right)^2\right)+\log ^2(2)\right)}",1,"-2048*E^(4*Log[2]^2)*((390625*x^8)/8 - 78125*x^10 + (109375*x^12)/2 - 21875*x^14 + (21875*x^16)/4 - 875*x^18 + (175*x^20)/2 - 5*x^22 + x^24/8)","B",1
2514,1,25,22,0.0081063,"\int \frac{10+10 x+2 x^2}{-25-10 x+5 x^2+2 x^3} \, dx","Integrate[(10 + 10*x + 2*x^2)/(-25 - 10*x + 5*x^2 + 2*x^3),x]","2 \left(\frac{1}{2} \log \left(5-x^2\right)-\frac{1}{2} \log (2 x+5)\right)","\log \left(\frac{5-x^2}{\frac{x+1}{2}+\frac{3}{4}}\right)",1,"2*(-1/2*Log[5 + 2*x] + Log[5 - x^2]/2)","A",1
2515,1,52,25,0.0292986,"\int \frac{-800+100 x^3 \log (3)-2 x^6 \log ^2(3)+\left(-200 x^6-10 x^9 \log (3)\right) \log ^2(4)+100 x^{12} \log ^4(4)}{25 x^9} \, dx","Integrate[(-800 + 100*x^3*Log[3] - 2*x^6*Log[3]^2 + (-200*x^6 - 10*x^9*Log[3])*Log[4]^2 + 100*x^12*Log[4]^4)/(25*x^9),x]","\frac{4}{x^8}-\frac{\log (81)}{5 x^5}+x^4 \log ^4(4)+\frac{\log ^2(3)+100 \log ^2(4)}{25 x^2}-\frac{2}{5} x \log (3) \log ^2(4)","\left(\frac{2}{x^4}+x^2 \log ^2(4)-\frac{\log (3)}{5 x}\right)^2",1,"4/x^8 - (2*x*Log[3]*Log[4]^2)/5 + x^4*Log[4]^4 + (Log[3]^2 + 100*Log[4]^2)/(25*x^2) - Log[81]/(5*x^5)","B",1
2516,1,18,18,0.0162479,"\int \frac{9+24 x^4+6 x^5+16 x^8+8 x^9+x^{10}+e^2 x \left(-16 x^2-5 x^3\right)}{9+24 x^4+6 x^5+16 x^8+8 x^9+x^{10}} \, dx","Integrate[(9 + 24*x^4 + 6*x^5 + 16*x^8 + 8*x^9 + x^10 + E^2*x*(-16*x^2 - 5*x^3))/(9 + 24*x^4 + 6*x^5 + 16*x^8 + 8*x^9 + x^10),x]","\frac{e^2}{x^5+4 x^4+3}+x","\frac{e^2}{(x+4) x^4+3}+x+e",1,"x + E^2/(3 + 4*x^4 + x^5)","A",1
2517,1,39,26,0.0389876,"\int \frac{28 x-32 x^2+4 x^3+\left(-20+20 x^2\right) \log (3)+\left(28 x-64 x^2+12 x^3+40 x^2 \log (3)\right) \log (x)}{x \log (3)} \, dx","Integrate[(28*x - 32*x^2 + 4*x^3 + (-20 + 20*x^2)*Log[3] + (28*x - 64*x^2 + 12*x^3 + 40*x^2*Log[3])*Log[x])/(x*Log[3]),x]","\frac{4 \left(x^3 \log (x)+x^2 \log (243) \log (x)-8 x^2 \log (x)+7 x \log (x)-\log (243) \log (x)\right)}{\log (3)}","4 (x-1) x \left(\frac{5}{x}-\frac{7-x}{\log (3)}+5\right) \log (x)",1,"(4*(7*x*Log[x] - 8*x^2*Log[x] + x^3*Log[x] - Log[243]*Log[x] + x^2*Log[243]*Log[x]))/Log[3]","A",1
2518,1,16,23,0.0030646,"\int e^{-x} \left(26+2 \log \left(\frac{9}{\log ^2(3)}\right)\right) \, dx","Integrate[(26 + 2*Log[9/Log[3]^2])/E^x,x]","-2 e^{-x} \left(13+\log \left(\frac{9}{\log ^2(3)}\right)\right)","\frac{\left(x-2 e^{-x} x\right) \left(13+\log \left(\frac{9}{\log ^2(3)}\right)\right)}{x}",1,"(-2*(13 + Log[9/Log[3]^2]))/E^x","A",1
2519,1,44,23,0.0316982,"\int \frac{159+640 x+272 x^2+32 x^3+e^2 \left(10+40 x+17 x^2+2 x^3\right)+e \left(80+320 x+136 x^2+16 x^3\right)}{256+128 x+16 x^2+e^2 \left(16+8 x+x^2\right)+e \left(128+64 x+8 x^2\right)} \, dx","Integrate[(159 + 640*x + 272*x^2 + 32*x^3 + E^2*(10 + 40*x + 17*x^2 + 2*x^3) + E*(80 + 320*x + 136*x^2 + 16*x^3))/(256 + 128*x + 16*x^2 + E^2*(16 + 8*x + x^2) + E*(128 + 64*x + 8*x^2)),x]","\frac{(4+e)^2 (x+4)^2-7 (4+e)^2 (x+4)+\frac{97+48 e+6 e^2}{x+4}}{(4+e)^2}","x^2+x+\frac{\frac{x+5}{(4+e)^2}+6}{x+4}+4",1,"((97 + 48*E + 6*E^2)/(4 + x) - 7*(4 + E)^2*(4 + x) + (4 + E)^2*(4 + x)^2)/(4 + E)^2","A",1
2520,1,15,19,0.0017771,"\int \frac{(-2-x) \log (5-\log (4))}{x} \, dx","Integrate[((-2 - x)*Log[5 - Log[4]])/x,x]","-(\log (5-\log (4)) (x+2 \log (x)))","\log (5-\log (4)) \left(\log \left(\frac{4}{x^2}\right)-x-4\right)",1,"-((x + 2*Log[x])*Log[5 - Log[4]])","A",1
2521,1,48,30,0.0524198,"\int \frac{-50+x+\log \left(\frac{e^{16}}{4}\right) \left(x^3-2 x \log (x)+x \log ^2(x)\right)}{x^3 \log \left(\frac{e^{16}}{4}\right)} \, dx","Integrate[(-50 + x + Log[E^16/4]*(x^3 - 2*x*Log[x] + x*Log[x]^2))/(x^3*Log[E^16/4]),x]","\frac{\frac{25}{x^2}+16 x-\frac{1}{x}-\frac{16 \log ^2(x)}{x}+\frac{2 \log (2) \log ^2(x)}{x}-2 x \log (2)}{16-\log (4)}","-\frac{x-25}{x^2 \log \left(\frac{e^{16}}{4}\right)}+x-\frac{\log ^2(x)}{x}-2",1,"(25/x^2 - x^(-1) + 16*x - 2*x*Log[2] - (16*Log[x]^2)/x + (2*Log[2]*Log[x]^2)/x)/(16 - Log[4])","A",1
2522,1,62,27,0.0882673,"\int \frac{-350 x+5 x^2+\left(-8-36 x+20 x^2\right) \log (2)+\left(8+36 x-20 x^2\right) \log (6-3 x)-4 x \log (x)}{-50 x+25 x^2} \, dx","Integrate[(-350*x + 5*x^2 + (-8 - 36*x + 20*x^2)*Log[2] + (8 + 36*x - 20*x^2)*Log[6 - 3*x] - 4*x*Log[x])/(-50*x + 25*x^2),x]","\frac{1}{25} \left(4 \text{Li}_2\left(1-\frac{x}{2}\right)+4 \text{Li}_2\left(\frac{x}{2}\right)+20 x+5 x (1+\log (16))-20 (x-2) \log (6-3 x)-4 (85+\log (2)) \log (x-2)-4 \log (3) \log (x)\right)","x-\frac{4}{25} (\log (3 (2-x))-\log (2)) (5 (x+15)+\log (x))",1,"(20*x + 5*x*(1 + Log[16]) - 20*(-2 + x)*Log[6 - 3*x] - 4*(85 + Log[2])*Log[-2 + x] - 4*Log[3]*Log[x] + 4*PolyLog[2, 1 - x/2] + 4*PolyLog[2, x/2])/25","C",1
2523,1,25,29,0.0160365,"\int \frac{-12-48 x-48 x^2+e^4 \left(-2 x-6 x^2\right)}{\left(x^4+4 x^5+4 x^6\right) \log (\log (5))} \, dx","Integrate[(-12 - 48*x - 48*x^2 + E^4*(-2*x - 6*x^2))/((x^4 + 4*x^5 + 4*x^6)*Log[Log[5]]),x]","\frac{\left(8+e^4\right) x+4}{x^3 (2 x+1) \log (\log (5))}","\frac{\frac{4}{x^2}+\frac{e^4}{x (2 x+1)}}{x \log (\log (5))}",1,"(4 + (8 + E^4)*x)/(x^3*(1 + 2*x)*Log[Log[5]])","A",1
2524,1,182,32,0.2198018,"\int \frac{625000 x-625000 x^4+e^{13} \left(4-2 x+8 x^3-4 x^4\right)+e^5 \left(-2500+1250 x-5000 x^3+2500 x^4+e^3 \left(-1000 x+1000 x^4\right)\right)+\left(-875000 x+875000 x^4+e^5 \left(2000-1000 x+4000 x^3-2000 x^4+e^3 \left(600 x-600 x^4\right)\right)\right) \log (-2+x)+\left(525000 x-525000 x^4+e^5 \left(-600+300 x-1200 x^3+600 x^4+e^3 \left(-120 x+120 x^4\right)\right)\right) \log ^2(-2+x)+\left(-175000 x+175000 x^4+e^5 \left(80-40 x+160 x^3-80 x^4+e^3 \left(8 x-8 x^4\right)\right)\right) \log ^3(-2+x)+\left(35000 x-35000 x^4+e^5 \left(-4+2 x-8 x^3+4 x^4\right)\right) \log ^4(-2+x)+\left(-4200 x+4200 x^4\right) \log ^5(-2+x)+\left(280 x-280 x^4\right) \log ^6(-2+x)+\left(-8 x+8 x^4\right) \log ^7(-2+x)+\left(e^5 \left(1000 x-1000 x^4\right)+e^{10} \left(-4+2 x-8 x^3+4 x^4\right)+e^5 \left(-600 x+600 x^4\right) \log (-2+x)+e^5 \left(120 x-120 x^4\right) \log ^2(-2+x)+e^5 \left(-8 x+8 x^4\right) \log ^3(-2+x)\right) \log \left(\frac{-1+x^3}{x}\right)}{e^{10} \left(2 x-x^2-2 x^4+x^5\right)} \, dx","Integrate[(625000*x - 625000*x^4 + E^13*(4 - 2*x + 8*x^3 - 4*x^4) + E^5*(-2500 + 1250*x - 5000*x^3 + 2500*x^4 + E^3*(-1000*x + 1000*x^4)) + (-875000*x + 875000*x^4 + E^5*(2000 - 1000*x + 4000*x^3 - 2000*x^4 + E^3*(600*x - 600*x^4)))*Log[-2 + x] + (525000*x - 525000*x^4 + E^5*(-600 + 300*x - 1200*x^3 + 600*x^4 + E^3*(-120*x + 120*x^4)))*Log[-2 + x]^2 + (-175000*x + 175000*x^4 + E^5*(80 - 40*x + 160*x^3 - 80*x^4 + E^3*(8*x - 8*x^4)))*Log[-2 + x]^3 + (35000*x - 35000*x^4 + E^5*(-4 + 2*x - 8*x^3 + 4*x^4))*Log[-2 + x]^4 + (-4200*x + 4200*x^4)*Log[-2 + x]^5 + (280*x - 280*x^4)*Log[-2 + x]^6 + (-8*x + 8*x^4)*Log[-2 + x]^7 + (E^5*(1000*x - 1000*x^4) + E^10*(-4 + 2*x - 8*x^3 + 4*x^4) + E^5*(-600*x + 600*x^4)*Log[-2 + x] + E^5*(120*x - 120*x^4)*Log[-2 + x]^2 + E^5*(-8*x + 8*x^4)*Log[-2 + x]^3)*Log[(-1 + x^3)/x])/(E^10*(2*x - x^2 - 2*x^4 + x^5)),x]","-\frac{2 \left(-\frac{1}{2} e^{10} \log ^2\left(\frac{x^3-1}{x}\right)-e^5 \left(\log ^3(x-2)-20 \log ^2(x-2)+150 \log (x-2)-500\right) \log \left(\frac{x^3-1}{x}\right) \log (x-2)+e^5 \left(e^8-625\right) \log \left(1-x^3\right)-\frac{1}{2} \log ^8(x-2)+20 \log ^7(x-2)-350 \log ^6(x-2)+3500 \log ^5(x-2)+\left(e^8-21875\right) \log ^4(x-2)-20 \left(e^8-4375\right) \log ^3(x-2)+50 \left(3 e^8-4375\right) \log ^2(x-2)-500 \left(e^8-625\right) \log (2-x)-e^5 \left(e^8-625\right) \log (x)\right)}{e^{10}}","\left(\log \left(x^2-\frac{1}{x}\right)+\frac{(5-\log (x-2))^4}{e^5}-e^3\right)^2",1,"(-2*(-500*(-625 + E^8)*Log[2 - x] + 50*(-4375 + 3*E^8)*Log[-2 + x]^2 - 20*(-4375 + E^8)*Log[-2 + x]^3 + (-21875 + E^8)*Log[-2 + x]^4 + 3500*Log[-2 + x]^5 - 350*Log[-2 + x]^6 + 20*Log[-2 + x]^7 - Log[-2 + x]^8/2 - E^5*(-625 + E^8)*Log[x] + E^5*(-625 + E^8)*Log[1 - x^3] - E^5*Log[-2 + x]*(-500 + 150*Log[-2 + x] - 20*Log[-2 + x]^2 + Log[-2 + x]^3)*Log[(-1 + x^3)/x] - (E^10*Log[(-1 + x^3)/x]^2)/2))/E^10","B",1
2525,1,10,14,0.0038392,"\int e^{-2 x} \left(-2 x+2 x^2\right) \, dx","Integrate[(-2*x + 2*x^2)/E^(2*x),x]","-e^{-2 x} x^2","\frac{80}{27}-e^{-2 x} x^2",1,"-(x^2/E^(2*x))","A",1
2526,1,27,25,0.1370874,"\int \frac{\left(-4 x^2+x^3\right) \log ^2(3) \log (4-x)+\left(-8+2 x+(64-16 x) \log (3)+(-128+32 x) \log ^2(3)\right) \log ^2(4-x)-x^3 \log ^2(3) \log (x)}{\left(-4 x^3+x^4\right) \log ^2(3) \log ^2(4-x)} \, dx","Integrate[((-4*x^2 + x^3)*Log[3]^2*Log[4 - x] + (-8 + 2*x + (64 - 16*x)*Log[3] + (-128 + 32*x)*Log[3]^2)*Log[4 - x]^2 - x^3*Log[3]^2*Log[x])/((-4*x^3 + x^4)*Log[3]^2*Log[4 - x]^2),x]","\frac{\log (x)}{\log (4-x)}-\frac{(\log (81)-1)^2}{x^2 \log ^2(3)}","\frac{\log (x)}{\log (4-x)}-\frac{\left(\frac{1}{\log (3)}-4\right)^2}{x^2}",1,"-((-1 + Log[81])^2/(x^2*Log[3]^2)) + Log[x]/Log[4 - x]","A",0
2527,1,24,21,0.2412134,"\int \left(7+\exp \left(e^{18 x^2+24 x^3+8 x^4}+18 x^2+24 x^3+8 x^4\right) \left(36 x+72 x^2+32 x^3\right)\right) \, dx","Integrate[7 + E^(E^(18*x^2 + 24*x^3 + 8*x^4) + 18*x^2 + 24*x^3 + 8*x^4)*(36*x + 72*x^2 + 32*x^3),x]","e^{e^{8 x^4+24 x^3+18 x^2}}+7 x","e^{e^{2 x^2 (2 x+3)^2}}+7 x+3",1,"E^E^(18*x^2 + 24*x^3 + 8*x^4) + 7*x","A",1
2528,1,23,23,0.0149137,"\int \frac{-3 x^4+3 x^4 \log (x)+\left(-20 e^5+6 x^3\right) \log ^3(x)}{6 x^3 \log ^3(x)} \, dx","Integrate[(-3*x^4 + 3*x^4*Log[x] + (-20*E^5 + 6*x^3)*Log[x]^3)/(6*x^3*Log[x]^3),x]","\frac{5 e^5}{3 x^2}+\frac{x^2}{4 \log ^2(x)}+x","\frac{5 e^5}{3 x^2}+\frac{x^2}{4 \log ^2(x)}+x",1,"(5*E^5)/(3*x^2) + x + x^2/(4*Log[x]^2)","A",1
2529,1,25,23,0.0286608,"\int \frac{-15 x+e^{\frac{9}{5 x^3}} \left(-54-27 x+10 x^3+10 x^4\right)}{5 x^3} \, dx","Integrate[(-15*x + E^(9/(5*x^3))*(-54 - 27*x + 10*x^3 + 10*x^4))/(5*x^3),x]","\frac{1}{5} \left(5 e^{\frac{9}{5 x^3}} x (x+2)+\frac{15}{x}\right)","e^{\frac{9}{5 x^3}} \left(x^2+2 x\right)+\frac{3}{x}",1,"(15/x + 5*E^(9/(5*x^3))*x*(2 + x))/5","A",1
2530,1,27,18,0.0264796,"\int \left(-1+e^{-6 e^3+x} (-2+x)\right) \, dx","Integrate[-1 + E^(-6*E^3 + x)*(-2 + x),x]","e^x \left(e^{-6 e^3} x-3 e^{-6 e^3}\right)-x","e^{x-6 e^3} (x-3)-x-1",1,"-x + E^x*(-3/E^(6*E^3) + x/E^(6*E^3))","A",1
2531,1,32,31,0.1271274,"\int \frac{-8 e^{2 x}+e^{e^{e^5}+2 x} \left(10-30 x+10 x^2\right)+\left(-16 e^{2 x}+e^{e^{e^5}+2 x} \left(70-80 x+20 x^2\right)\right) \log \left(\frac{1}{5} \left(4+e^{e^{e^5}} \left(-30+25 x-5 x^2\right)\right)\right)+\left(-8 e^{2 x}+e^{e^{e^5}+2 x} \left(60-50 x+10 x^2\right)\right) \log ^2\left(\frac{1}{5} \left(4+e^{e^{e^5}} \left(-30+25 x-5 x^2\right)\right)\right)}{-4+e^{e^{e^5}} \left(30-25 x+5 x^2\right)} \, dx","Integrate[(-8*E^(2*x) + E^(E^E^5 + 2*x)*(10 - 30*x + 10*x^2) + (-16*E^(2*x) + E^(E^E^5 + 2*x)*(70 - 80*x + 20*x^2))*Log[(4 + E^E^E^5*(-30 + 25*x - 5*x^2))/5] + (-8*E^(2*x) + E^(E^E^5 + 2*x)*(60 - 50*x + 10*x^2))*Log[(4 + E^E^E^5*(-30 + 25*x - 5*x^2))/5]^2)/(-4 + E^E^E^5*(30 - 25*x + 5*x^2)),x]","e^{2 x} \left(\log \left(\frac{4}{5}-e^{e^{e^5}} \left(x^2-5 x+6\right)\right)+1\right)^2","e^{2 x} \left(\log \left(e^{e^{e^5}} (2-x) (x-3)+\frac{4}{5}\right)+1\right)^2",1,"E^(2*x)*(1 + Log[4/5 - E^E^E^5*(6 - 5*x + x^2)])^2","A",1
2532,1,25,25,0.2707443,"\int \frac{e^{\frac{1}{5} \left(1+5 e^2+5 e^{2 x}+5 x+5 x^4\right)} \left(-1-x-2 e^{2 x} x-4 x^4+\left(x+2 e^{2 x} x+4 x^4\right) \log (x)\right)}{x-2 x \log (x)+x \log ^2(x)} \, dx","Integrate[(E^((1 + 5*E^2 + 5*E^(2*x) + 5*x + 5*x^4)/5)*(-1 - x - 2*E^(2*x)*x - 4*x^4 + (x + 2*E^(2*x)*x + 4*x^4)*Log[x]))/(x - 2*x*Log[x] + x*Log[x]^2),x]","\frac{e^{x^4+x+e^{2 x}+e^2+\frac{1}{5}}}{\log (x)-1}","\frac{e^{x^4+x+e^{2 x}+e^2+\frac{1}{5}}}{\log (x)-1}",1,"E^(1/5 + E^2 + E^(2*x) + x + x^4)/(-1 + Log[x])","A",1
2533,1,12,12,0.0668672,"\int \frac{64 \log ^3\left(\log \left(\frac{26 x}{25}\right)\right)+16 \log \left(\frac{26 x}{25}\right) \log ^4\left(\log \left(\frac{26 x}{25}\right)\right)}{\log \left(\frac{26 x}{25}\right)} \, dx","Integrate[(64*Log[Log[(26*x)/25]]^3 + 16*Log[(26*x)/25]*Log[Log[(26*x)/25]]^4)/Log[(26*x)/25],x]","16 x \log ^4\left(\log \left(\frac{26 x}{25}\right)\right)","16 x \log ^4\left(\log \left(\frac{26 x}{25}\right)\right)",1,"16*x*Log[Log[(26*x)/25]]^4","A",1
2534,1,104,31,2.7507512,"\int \frac{-4+7 x+x^2+x^3+\left(4-8 x+4 x^2\right) \log (x)+\left(-4-x^2\right) \log \left(\frac{x^2}{3}\right)}{x^4+\left(2 x^3-2 x^4\right) \log (x)+\left(x^2-2 x^3+x^4\right) \log ^2(x)+\left(-2 x^3+\left(-2 x^2+2 x^3\right) \log (x)\right) \log \left(\frac{x^2}{3}\right)+x^2 \log ^2\left(\frac{x^2}{3}\right)} \, dx","Integrate[(-4 + 7*x + x^2 + x^3 + (4 - 8*x + 4*x^2)*Log[x] + (-4 - x^2)*Log[x^2/3])/(x^4 + (2*x^3 - 2*x^4)*Log[x] + (x^2 - 2*x^3 + x^4)*Log[x]^2 + (-2*x^3 + (-2*x^2 + 2*x^3)*Log[x])*Log[x^2/3] + x^2*Log[x^2/3]^2),x]","\frac{-x^4-4 x^3-2 \left(x^2+3 x-4\right) x \log (x)+\left(x^2+3 x-8\right) x \log \left(\frac{x^2}{3}\right)+4 x \log \left(x^2\right)+x-x \log (81)+4}{x \left(\log \left(\frac{x^2}{3}\right)-x+(x-1) \log (x)\right) \left(x^2-x \log \left(x^2\right)+x+2 x \log (x)+x \log (3)+1\right)}","-\frac{x+4}{x \left(\frac{\log \left(\frac{x^2}{3}\right)-x}{x-1}+\log (x)\right)}",1,"(4 + x - 4*x^3 - x^4 - x*Log[81] - 2*x*(-4 + 3*x + x^2)*Log[x] + x*(-8 + 3*x + x^2)*Log[x^2/3] + 4*x*Log[x^2])/(x*(-x + (-1 + x)*Log[x] + Log[x^2/3])*(1 + x + x^2 + x*Log[3] + 2*x*Log[x] - x*Log[x^2]))","B",1
2535,1,21,28,0.0228672,"\int \frac{2-e^x+e^{\frac{x^2}{2}} \left(-3-3 x^2\right)}{e^{2 x}-4 e^x x+4 x^2+9 e^{x^2} x^2+e^{\frac{x^2}{2}} \left(6 e^x x-12 x^2\right)} \, dx","Integrate[(2 - E^x + E^(x^2/2)*(-3 - 3*x^2))/(E^(2*x) - 4*E^x*x + 4*x^2 + 9*E^x^2*x^2 + E^(x^2/2)*(6*E^x*x - 12*x^2)),x]","\frac{1}{3 e^{\frac{x^2}{2}} x-2 x+e^x}","\frac{x}{x^2+\left(3 \left(e^{\frac{x^2}{2}}-1\right) x+e^x\right) x}",1,"(E^x - 2*x + 3*E^(x^2/2)*x)^(-1)","A",1
2536,1,27,29,0.2436799,"\int \frac{-2 x \log (x)+\left(3 x+x \log ^2(x)\right) \log \left(3+\log ^2(x)\right)+\left(6+2 \log ^2(x)\right) \log ^2\left(3+\log ^2(x)\right)+\left(\left(-3 x-x \log ^2(x)\right) \log \left(3+\log ^2(x)\right)+\left(-15+3 \log (5)+3 \log \left(\frac{3}{4 x^2}\right)+\left(-5+\log (5)+\log \left(\frac{3}{4 x^2}\right)\right) \log ^2(x)\right) \log ^2\left(3+\log ^2(x)\right)\right) \log \left(\frac{-x+\left(-5+\log (5)+\log \left(\frac{3}{4 x^2}\right)\right) \log \left(3+\log ^2(x)\right)}{\log \left(3+\log ^2(x)\right)}\right)}{\left(\left(-3 x-x \log ^2(x)\right) \log \left(3+\log ^2(x)\right)+\left(-15+3 \log (5)+3 \log \left(\frac{3}{4 x^2}\right)+\left(-5+\log (5)+\log \left(\frac{3}{4 x^2}\right)\right) \log ^2(x)\right) \log ^2\left(3+\log ^2(x)\right)\right) \log ^2\left(\frac{-x+\left(-5+\log (5)+\log \left(\frac{3}{4 x^2}\right)\right) \log \left(3+\log ^2(x)\right)}{\log \left(3+\log ^2(x)\right)}\right)} \, dx","Integrate[(-2*x*Log[x] + (3*x + x*Log[x]^2)*Log[3 + Log[x]^2] + (6 + 2*Log[x]^2)*Log[3 + Log[x]^2]^2 + ((-3*x - x*Log[x]^2)*Log[3 + Log[x]^2] + (-15 + 3*Log[5] + 3*Log[3/(4*x^2)] + (-5 + Log[5] + Log[3/(4*x^2)])*Log[x]^2)*Log[3 + Log[x]^2]^2)*Log[(-x + (-5 + Log[5] + Log[3/(4*x^2)])*Log[3 + Log[x]^2])/Log[3 + Log[x]^2]])/(((-3*x - x*Log[x]^2)*Log[3 + Log[x]^2] + (-15 + 3*Log[5] + 3*Log[3/(4*x^2)] + (-5 + Log[5] + Log[3/(4*x^2)])*Log[x]^2)*Log[3 + Log[x]^2]^2)*Log[(-x + (-5 + Log[5] + Log[3/(4*x^2)])*Log[3 + Log[x]^2])/Log[3 + Log[x]^2]]^2),x]","\frac{x}{\log \left(\log \left(\frac{15}{4 x^2}\right)-\frac{x}{\log \left(\log ^2(x)+3\right)}-5\right)}","\frac{x}{\log \left(\log \left(\frac{3}{4 x^2}\right)-\frac{x}{\log \left(\log ^2(x)+3\right)}-5+\log (5)\right)}",1,"x/Log[-5 + Log[15/(4*x^2)] - x/Log[3 + Log[x]^2]]","A",1
2537,1,18,25,5.0242004,"\int \frac{-7+(28+60 x) \log \left(x^2\right) \log \left(\frac{7+15 x}{15 x}\right)}{\left(7 x+15 x^2\right) \log \left(\frac{7+15 x}{15 x}\right)} \, dx","Integrate[(-7 + (28 + 60*x)*Log[x^2]*Log[(7 + 15*x)/(15*x)])/((7*x + 15*x^2)*Log[(7 + 15*x)/(15*x)]),x]","\log ^2\left(x^2\right)+\log \left(\log \left(\frac{7}{15 x}+1\right)\right)","\log ^2\left(x^2\right)-\log \left(\frac{3}{\log \left(\frac{7}{15 x}+1\right)}\right)+2",1,"Log[x^2]^2 + Log[Log[1 + 7/(15*x)]]","A",1
2538,1,18,22,0.0239614,"\int \left(e^2+e^{e^{2 x}} \left(-e^2-2 e^{2+2 x} x\right)\right) \, dx","Integrate[E^2 + E^E^(2*x)*(-E^2 - 2*E^(2 + 2*x)*x),x]","-e^2 \left(e^{e^{2 x}} x-x\right)","e^2 \left(x-\left(e^{e^{2 x}}+\frac{15}{x}\right) x\right)",1,"-(E^2*(-x + E^E^(2*x)*x))","A",1
2539,1,27,31,0.0582963,"\int \frac{\left(12 x^2+2 x^3\right) \log ^2\left(4 e^x\right)+\left(-15 x-3 x^2\right) \log (x)+(-18-3 x) \log (6+x)+\left(12 x^2+2 x^3\right) \log ^2(6+x)+\log \left(4 e^x\right) \left(18+3 x+\left(-24 x^2-4 x^3\right) \log (6+x)\right)}{\left(18 x+3 x^2\right) \log ^2\left(4 e^x\right)+\left(-36 x-6 x^2\right) \log \left(4 e^x\right) \log (6+x)+\left(18 x+3 x^2\right) \log ^2(6+x)} \, dx","Integrate[((12*x^2 + 2*x^3)*Log[4*E^x]^2 + (-15*x - 3*x^2)*Log[x] + (-18 - 3*x)*Log[6 + x] + (12*x^2 + 2*x^3)*Log[6 + x]^2 + Log[4*E^x]*(18 + 3*x + (-24*x^2 - 4*x^3)*Log[6 + x]))/((18*x + 3*x^2)*Log[4*E^x]^2 + (-36*x - 6*x^2)*Log[4*E^x]*Log[6 + x] + (18*x + 3*x^2)*Log[6 + x]^2),x]","\frac{1}{3} \left(x^2-\frac{3 \log (x)}{\log (x+6)-\log \left(4 e^x\right)}\right)","\frac{x^2}{3}+\frac{\log (x)}{\log \left(4 e^x\right)-\log (x+6)}-e^6",1,"(x^2 - (3*Log[x])/(-Log[4*E^x] + Log[6 + x]))/3","A",1
2540,1,8,13,0.0000637,"\int -\frac{19 e^{16}}{25} \, dx","Integrate[(-19*E^16)/25,x]","-\frac{19 e^{16} x}{25}","-\frac{19}{25} \left(e^{16} (x+1)-7\right)",1,"(-19*E^16*x)/25","A",1
2541,1,22,24,1.5387019,"\int e^{-e^{450 x^5-225 x^6}-x^2} \left(e^{e^{450 x^5-225 x^6}+x^2}-2 x+e^{450 x^5-225 x^6} \left(-2250 x^4+1350 x^5\right)\right) \, dx","Integrate[E^(-E^(450*x^5 - 225*x^6) - x^2)*(E^(E^(450*x^5 - 225*x^6) + x^2) - 2*x + E^(450*x^5 - 225*x^6)*(-2250*x^4 + 1350*x^5)),x]","e^{-e^{-225 (x-2) x^5}-x^2}+x","e^{-e^{225 (2-x) x^5}-x^2}+x",1,"E^(-E^(-225*(-2 + x)*x^5) - x^2) + x","A",1
2542,0,0,32,0.2326009,"\int \frac{-10+e^{4+4 x} (2+8 x)-2 \log (3)+\left(5-e^{4+4 x}+\log (3)\right) \log \left(-\frac{9}{-5+e^{4+4 x}-\log (3)}\right)}{10 x-2 e^{4+4 x} x+2 x \log (3)+\left(-5 x+e^{4+4 x} x-x \log (3)\right) \log \left(-\frac{9}{-5+e^{4+4 x}-\log (3)}\right)} \, dx","Integrate[(-10 + E^(4 + 4*x)*(2 + 8*x) - 2*Log[3] + (5 - E^(4 + 4*x) + Log[3])*Log[-9/(-5 + E^(4 + 4*x) - Log[3])])/(10*x - 2*E^(4 + 4*x)*x + 2*x*Log[3] + (-5*x + E^(4 + 4*x)*x - x*Log[3])*Log[-9/(-5 + E^(4 + 4*x) - Log[3])]),x]","\int \frac{-10+e^{4+4 x} (2+8 x)-2 \log (3)+\left(5-e^{4+4 x}+\log (3)\right) \log \left(-\frac{9}{-5+e^{4+4 x}-\log (3)}\right)}{10 x-2 e^{4+4 x} x+2 x \log (3)+\left(-5 x+e^{4+4 x} x-x \log (3)\right) \log \left(-\frac{9}{-5+e^{4+4 x}-\log (3)}\right)} \, dx","\log \left(\frac{4}{x \left(2-\log \left(\frac{9}{-e^{2 (2 x+2)}+5+\log (3)}\right)\right)^2}\right)",1,"Integrate[(-10 + E^(4 + 4*x)*(2 + 8*x) - 2*Log[3] + (5 - E^(4 + 4*x) + Log[3])*Log[-9/(-5 + E^(4 + 4*x) - Log[3])])/(10*x - 2*E^(4 + 4*x)*x + 2*x*Log[3] + (-5*x + E^(4 + 4*x)*x - x*Log[3])*Log[-9/(-5 + E^(4 + 4*x) - Log[3])]), x]","F",-1
2543,0,0,33,3.3679228,"\int \frac{\exp \left(50 x-20 x^2+2 x^3+2 \left(10 x-2 x^2\right) \log (5)+2 x \log ^2(5)\right) \left(-3+e^x-3 x\right)-6 x^2+e^x x^2-3 x^3+\exp \left(25 x-10 x^2+x^3+\left(10 x-2 x^2\right) \log (5)+x \log ^2(5)\right) \left(-3+66 x-66 x^2+9 x^3+\left(30 x-12 x^2\right) \log (5)+3 x \log ^2(5)+e^x \left(1-23 x+20 x^2-3 x^3+\left(-10 x+4 x^2\right) \log (5)-x \log ^2(5)\right)\right)}{\exp \left(51 x-20 x^2+2 x^3+2 \left(10 x-2 x^2\right) \log (5)+2 x \log ^2(5)\right) x^2+\exp \left(26 x-10 x^2+x^3+\left(10 x-2 x^2\right) \log (5)+x \log ^2(5)\right) \left(2 x^2+2 x^3\right)+e^x \left(x^2+2 x^3+x^4\right)} \, dx","Integrate[(E^(50*x - 20*x^2 + 2*x^3 + 2*(10*x - 2*x^2)*Log[5] + 2*x*Log[5]^2)*(-3 + E^x - 3*x) - 6*x^2 + E^x*x^2 - 3*x^3 + E^(25*x - 10*x^2 + x^3 + (10*x - 2*x^2)*Log[5] + x*Log[5]^2)*(-3 + 66*x - 66*x^2 + 9*x^3 + (30*x - 12*x^2)*Log[5] + 3*x*Log[5]^2 + E^x*(1 - 23*x + 20*x^2 - 3*x^3 + (-10*x + 4*x^2)*Log[5] - x*Log[5]^2)))/(E^(51*x - 20*x^2 + 2*x^3 + 2*(10*x - 2*x^2)*Log[5] + 2*x*Log[5]^2)*x^2 + E^(26*x - 10*x^2 + x^3 + (10*x - 2*x^2)*Log[5] + x*Log[5]^2)*(2*x^2 + 2*x^3) + E^x*(x^2 + 2*x^3 + x^4)),x]","\int \frac{\exp \left(50 x-20 x^2+2 x^3+2 \left(10 x-2 x^2\right) \log (5)+2 x \log ^2(5)\right) \left(-3+e^x-3 x\right)-6 x^2+e^x x^2-3 x^3+\exp \left(25 x-10 x^2+x^3+\left(10 x-2 x^2\right) \log (5)+x \log ^2(5)\right) \left(-3+66 x-66 x^2+9 x^3+\left(30 x-12 x^2\right) \log (5)+3 x \log ^2(5)+e^x \left(1-23 x+20 x^2-3 x^3+\left(-10 x+4 x^2\right) \log (5)-x \log ^2(5)\right)\right)}{\exp \left(51 x-20 x^2+2 x^3+2 \left(10 x-2 x^2\right) \log (5)+2 x \log ^2(5)\right) x^2+\exp \left(26 x-10 x^2+x^3+\left(10 x-2 x^2\right) \log (5)+x \log ^2(5)\right) \left(2 x^2+2 x^3\right)+e^x \left(x^2+2 x^3+x^4\right)} \, dx","\frac{3 e^{-x}-1}{x+\frac{x}{x+e^{x (x-5-\log (5))^2}}}",1,"Integrate[(E^(50*x - 20*x^2 + 2*x^3 + 2*(10*x - 2*x^2)*Log[5] + 2*x*Log[5]^2)*(-3 + E^x - 3*x) - 6*x^2 + E^x*x^2 - 3*x^3 + E^(25*x - 10*x^2 + x^3 + (10*x - 2*x^2)*Log[5] + x*Log[5]^2)*(-3 + 66*x - 66*x^2 + 9*x^3 + (30*x - 12*x^2)*Log[5] + 3*x*Log[5]^2 + E^x*(1 - 23*x + 20*x^2 - 3*x^3 + (-10*x + 4*x^2)*Log[5] - x*Log[5]^2)))/(E^(51*x - 20*x^2 + 2*x^3 + 2*(10*x - 2*x^2)*Log[5] + 2*x*Log[5]^2)*x^2 + E^(26*x - 10*x^2 + x^3 + (10*x - 2*x^2)*Log[5] + x*Log[5]^2)*(2*x^2 + 2*x^3) + E^x*(x^2 + 2*x^3 + x^4)), x]","F",-1
2544,1,19,25,0.0324262,"\int \left(101-2 x+e^{1+e^x (5+x)} \left(25+e^x \left(150 x+25 x^2\right)\right)\right) \, dx","Integrate[101 - 2*x + E^(1 + E^x*(5 + x))*(25 + E^x*(150*x + 25*x^2)),x]","-x \left(x-25 e^{e^x (x+5)+1}-101\right)","x-x \left(x-25 \left(e^{e^x (x+5)+1}+\frac{1}{x}+4\right)\right)",1,"-(x*(-101 - 25*E^(1 + E^x*(5 + x)) + x))","A",1
2545,1,41,32,0.443958,"\int \frac{e^{-2+3 e^x} \left(-2-6 e^x x\right)+e^{2 e^{4+x+x^2+2 x \log (x)+\log ^2(x)}} \left(-2+e^{4+x+x^2+2 x \log (x)+\log ^2(x)} \left(-12 x-8 x^2+(-8-8 x) \log (x)\right)\right)}{e^{4 e^{4+x+x^2+2 x \log (x)+\log ^2(x)}} x^2+e^{-4+6 e^x} x^2+2 \exp \left(-2+3 e^x+2 e^{4+x+x^2+2 x \log (x)+\log ^2(x)}\right) x^2} \, dx","Integrate[(E^(-2 + 3*E^x)*(-2 - 6*E^x*x) + E^(2*E^(4 + x + x^2 + 2*x*Log[x] + Log[x]^2))*(-2 + E^(4 + x + x^2 + 2*x*Log[x] + Log[x]^2)*(-12*x - 8*x^2 + (-8 - 8*x)*Log[x])))/(E^(4*E^(4 + x + x^2 + 2*x*Log[x] + Log[x]^2))*x^2 + E^(-4 + 6*E^x)*x^2 + 2*E^(-2 + 3*E^x + 2*E^(4 + x + x^2 + 2*x*Log[x] + Log[x]^2))*x^2),x]","\frac{2 e^2}{x \left(e^{2 x^{2 x} e^{x^2+x+\log ^2(x)+4}+2}+e^{3 e^x}\right)}","\frac{2}{x \left(e^{3 e^x-2}+e^{2 e^{x+(x+\log (x))^2+4}}\right)}",1,"(2*E^2)/((E^(3*E^x) + E^(2 + 2*E^(4 + x + x^2 + Log[x]^2)*x^(2*x)))*x)","A",1
2546,1,29,35,0.1650856,"\int \frac{e^{2 x/3} \left(20+256 x-52 x^2\right)+e^{2 x/3} \left(540 x+18 x^2+450 x^3\right) \log (x)+e^{2 x/3} \left(972 x^3+162 x^4\right) \log ^2(x)}{-81+27 \log (4)} \, dx","Integrate[(E^((2*x)/3)*(20 + 256*x - 52*x^2) + E^((2*x)/3)*(540*x + 18*x^2 + 450*x^3)*Log[x] + E^((2*x)/3)*(972*x^3 + 162*x^4)*Log[x]^2)/(-81 + 27*Log[4]),x]","\frac{e^{2 x/3} \left(-9 x^2 \log (x)+x-5\right)^2}{9 (\log (4)-3)}","2-\frac{e^{2 x/3} \left(9 x^2 \log (x)-x+5\right)^2}{9 (3-\log (4))}",1,"(E^((2*x)/3)*(-5 + x - 9*x^2*Log[x])^2)/(9*(-3 + Log[4]))","A",1
2547,1,22,22,0.2175509,"\int \frac{\left(2508+4 x^2+32 x^3\right) \log ^3\left(\frac{-627+x^2+4 x^3}{x}\right)}{e^{12} \left(-50787 x+81 x^3+324 x^4\right)} \, dx","Integrate[((2508 + 4*x^2 + 32*x^3)*Log[(-627 + x^2 + 4*x^3)/x]^3)/(E^12*(-50787*x + 81*x^3 + 324*x^4)),x]","\frac{\log ^4\left(4 x^2+x-\frac{627}{x}\right)}{81 e^{12}}","\frac{\log ^4\left(4 x^2+x-\frac{627}{x}\right)}{81 e^{12}}",1,"Log[-627/x + x + 4*x^2]^4/(81*E^12)","A",1
2548,1,25,19,0.1867046,"\int \frac{12 \log \left(\frac{\log (2)}{3}\right)+e^x x \log (x) \log ^2(\log (x))}{-12 x \log (x) \log \left(\frac{\log (2)}{3}\right) \log (\log (x))+e^x x \log (x) \log ^2(\log (x))} \, dx","Integrate[(12*Log[Log[2]/3] + E^x*x*Log[x]*Log[Log[x]]^2)/(-12*x*Log[x]*Log[Log[2]/3]*Log[Log[x]] + E^x*x*Log[x]*Log[Log[x]]^2),x]","\log \left(e^x \log (\log (x))-12 \log \left(\frac{\log (2)}{3}\right)\right)-\log (\log (\log (x)))","\log \left(e^x-\frac{12 \log \left(\frac{\log (2)}{3}\right)}{\log (\log (x))}\right)",1,"-Log[Log[Log[x]]] + Log[-12*Log[Log[2]/3] + E^x*Log[Log[x]]]","A",1
2549,1,19,26,0.0021793,"\int \frac{-9+x^2}{x^2 \log \left(4-\log \left(\frac{5}{3}\right)\right)} \, dx","Integrate[(-9 + x^2)/(x^2*Log[4 - Log[5/3]]),x]","\frac{x+\frac{9}{x}}{\log \left(4-\log \left(\frac{5}{3}\right)\right)}","\frac{\frac{9-\frac{11 x}{12}}{x}+x+1}{\log \left(4-\log \left(\frac{5}{3}\right)\right)}",1,"(9/x + x)/Log[4 - Log[5/3]]","A",1
2550,1,37,32,0.0852564,"\int \frac{-15 x^2+96 x^3+50 x^4+6 x^5+e^{-5+x} \left(10 x-67 x^2-64 x^3-15 x^4-x^5\right)}{-6+\log (4)} \, dx","Integrate[(-15*x^2 + 96*x^3 + 50*x^4 + 6*x^5 + E^(-5 + x)*(10*x - 67*x^2 - 64*x^3 - 15*x^4 - x^5))/(-6 + Log[4]),x]","\frac{x^2 \left(e^5 x-e^x\right) \left(x^3+10 x^2+24 x-5\right)}{e^5 (\log (4)-6)}","\frac{x (x+5) \left(x-e^{x-5}\right) \left(x-x^2 (x+5)\right)}{6-\log (4)}",1,"(x^2*(-E^x + E^5*x)*(-5 + 24*x + 10*x^2 + x^3))/(E^5*(-6 + Log[4]))","A",1
2551,1,21,25,0.0045179,"\int \frac{2 x \log (4)-25 (i \pi +\log (4))}{5 \log (4)} \, dx","Integrate[(2*x*Log[4] - 25*(I*Pi + Log[4]))/(5*Log[4]),x]","\frac{x^2}{5}-5 x-\frac{5 i \pi  x}{\log (4)}","\frac{x^2}{5}-\frac{5 (x-3) (\log (4)+i \pi )}{\log (4)}",1,"-5*x + x^2/5 - ((5*I)*Pi*x)/Log[4]","A",1
2552,1,29,32,0.0100428,"\int \frac{1}{5} \left(-5-20 e^{4 x}+e^3 (-6+2 x)\right) \, dx","Integrate[(-5 - 20*E^(4*x) + E^3*(-6 + 2*x))/5,x]","\frac{e^3 x^2}{5}-\frac{6 e^3 x}{5}-x-e^{4 x}","-x-e^{4 (x+1)-4}+e^3 \left(\frac{1}{5} (x-1) x-x\right)-1",1,"-E^(4*x) - x - (6*E^3*x)/5 + (E^3*x^2)/5","A",1
2553,1,26,27,0.5607858,"\int \frac{-560+280 x-35 x^2+\exp \left(\frac{-35-4 x+x^2+(-28+7 x) \log (x)}{-140+35 x}\right) \left(112-5 x-x^2+x^3\right)}{560 x-280 x^2+35 x^3} \, dx","Integrate[(-560 + 280*x - 35*x^2 + E^((-35 - 4*x + x^2 + (-28 + 7*x)*Log[x])/(-140 + 35*x))*(112 - 5*x - x^2 + x^3))/(560*x - 280*x^2 + 35*x^3),x]","e^{\frac{x}{35}+\frac{1}{4-x}} \sqrt[5]{x}-\log (x)","e^{\frac{1}{4-x}+\frac{1}{5} \left(\frac{x}{7}+\log (x)\right)}-\log (x)",1,"E^((4 - x)^(-1) + x/35)*x^(1/5) - Log[x]","A",1
2554,1,17,25,0.0035432,"\int \frac{4+\left(8 x+x^2\right) \log ^2(x)}{4 x \log ^2(x)} \, dx","Integrate[(4 + (8*x + x^2)*Log[x]^2)/(4*x*Log[x]^2),x]","\frac{x^2}{8}+2 x-\frac{1}{\log (x)}","\frac{x^2}{8}+2 x-\frac{x+\frac{x}{\log (x)}}{x}+7",1,"2*x + x^2/8 - Log[x]^(-1)","A",1
2555,1,22,27,0.052355,"\int \frac{e^{\frac{4 e^{e^2}}{\log \left(\frac{27+12 x}{x}\right)}} \left(36 e^{e^2} \log (x)+(9+4 x) \log ^2\left(\frac{27+12 x}{x}\right)\right)}{\left(9 x+4 x^2\right) \log ^2\left(\frac{27+12 x}{x}\right)} \, dx","Integrate[(E^((4*E^E^2)/Log[(27 + 12*x)/x])*(36*E^E^2*Log[x] + (9 + 4*x)*Log[(27 + 12*x)/x]^2))/((9*x + 4*x^2)*Log[(27 + 12*x)/x]^2),x]","e^{\frac{4 e^{e^2}}{\log \left(\frac{27}{x}+12\right)}} \log (x)","e^{\frac{4 e^{e^2}}{\log \left(\frac{9 \left(\frac{4 x}{3}+3\right)}{x}\right)}} \log (x)",1,"E^((4*E^E^2)/Log[12 + 27/x])*Log[x]","A",1
2556,1,9,13,0.0020552,"\int \frac{1}{7+e^{e^4}+x} \, dx","Integrate[(7 + E^E^4 + x)^(-1),x]","\log \left(x+e^{e^4}+7\right)","\log \left(\frac{1}{4} \left(x+e^{e^4}+7\right)\right)",1,"Log[7 + E^E^4 + x]","A",1
2557,1,28,27,0.1712035,"\int \frac{1-3 x+x \log ^2(3)+e^x \left(25-50 x+25 x \log ^2(3)\right)+\left(-2-50 e^x\right) \log \left(x+25 e^x x\right)}{x^3+25 e^x x^3} \, dx","Integrate[(1 - 3*x + x*Log[3]^2 + E^x*(25 - 50*x + 25*x*Log[3]^2) + (-2 - 50*E^x)*Log[x + 25*E^x*x])/(x^3 + 25*E^x*x^3),x]","\frac{\log \left(25 e^x x+x\right)}{x^2}+\frac{3}{x}-\frac{\log ^2(3)}{x}","\frac{3 x+\log \left(25 e^x x+x\right)}{x^2}-\frac{\log ^2(3)}{x}",1,"3/x - Log[3]^2/x + Log[x + 25*E^x*x]/x^2","A",1
2558,1,24,22,0.0141507,"\int \frac{e^2 (-2+2 x)-4 e^2 \log (64)+\left(2 e^2+4 e^2 \log (64)\right) \log (x)}{x^2} \, dx","Integrate[(E^2*(-2 + 2*x) - 4*E^2*Log[64] + (2*E^2 + 4*E^2*Log[64])*Log[x])/x^2,x]","2 e^2 \left(-\frac{\log (x)}{x}-\frac{\log (4096) \log (x)}{x}+\log (x)\right)","\frac{x-2 e^2 (-x+1+2 \log (64)) \log (x)}{x}",1,"2*E^2*(Log[x] - Log[x]/x - (Log[4096]*Log[x])/x)","A",1
2559,1,26,24,0.1146774,"\int \left(1+e^{\frac{1}{4} \left(-4+e^6+12 x-4 e^3 x+4 x^2\right)} \left(-3+e^3-2 x\right)\right) \, dx","Integrate[1 + E^((-4 + E^6 + 12*x - 4*E^3*x + 4*x^2)/4)*(-3 + E^3 - 2*x),x]","x-e^{x^2-\left(e^3-3\right) x+\frac{e^6}{4}-1}","x-e^{\left(\frac{e^3}{2}-x\right)^2+3 x-1}",1,"-E^(-1 + E^6/4 - (-3 + E^3)*x + x^2) + x","A",1
2560,1,40,29,0.056999,"\int \frac{-428-15 e^2-48 x+(-130-30 x) \log \left(\frac{8}{13+3 x}\right)}{65+15 x} \, dx","Integrate[(-428 - 15*E^2 - 48*x + (-130 - 30*x)*Log[8/(13 + 3*x)])/(65 + 15*x),x]","-\frac{26 x}{5}-\left(2 x+\frac{26}{3}\right) \log \left(\frac{8}{3 x+13}\right)-\left(\frac{44}{3}+e^2\right) \log (3 x+13)","\left(-2 x+e^2+6\right) \left(\log \left(\frac{2}{\frac{1}{4} (3 x+1)+3}\right)+\frac{13}{5}\right)",1,"(-26*x)/5 - (26/3 + 2*x)*Log[8/(13 + 3*x)] - (44/3 + E^2)*Log[13 + 3*x]","A",1
2561,1,27,27,0.4449456,"\int \frac{-125 x+25 e^x x+e^{4 x} \left(50 x-10 e^x x\right)+e^{8 x} \left(-5 x+e^x x\right)+\left(-50 x+10 e^x x+e^{4 x} \left(10 x-2 e^x x\right)\right) \log \left(5-e^x\right)+\left(-5 x+e^x x\right) \log ^2\left(5-e^x\right)+x^{\frac{4}{5-e^{4 x}+\log \left(5-e^x\right)}} \left(-200+40 e^x+e^{4 x} \left(40-8 e^x\right)+\left(-40+8 e^x\right) \log \left(5-e^x\right)+\left(-8 e^x x+e^{4 x} \left(-160 x+32 e^x x\right)\right) \log (x)\right)}{-125 x+25 e^x x+e^{4 x} \left(50 x-10 e^x x\right)+e^{8 x} \left(-5 x+e^x x\right)+\left(-50 x+10 e^x x+e^{4 x} \left(10 x-2 e^x x\right)\right) \log \left(5-e^x\right)+\left(-5 x+e^x x\right) \log ^2\left(5-e^x\right)} \, dx","Integrate[(-125*x + 25*E^x*x + E^(4*x)*(50*x - 10*E^x*x) + E^(8*x)*(-5*x + E^x*x) + (-50*x + 10*E^x*x + E^(4*x)*(10*x - 2*E^x*x))*Log[5 - E^x] + (-5*x + E^x*x)*Log[5 - E^x]^2 + x^(4/(5 - E^(4*x) + Log[5 - E^x]))*(-200 + 40*E^x + E^(4*x)*(40 - 8*E^x) + (-40 + 8*E^x)*Log[5 - E^x] + (-8*E^x*x + E^(4*x)*(-160*x + 32*E^x*x))*Log[x]))/(-125*x + 25*E^x*x + E^(4*x)*(50*x - 10*E^x*x) + E^(8*x)*(-5*x + E^x*x) + (-50*x + 10*E^x*x + E^(4*x)*(10*x - 2*E^x*x))*Log[5 - E^x] + (-5*x + E^x*x)*Log[5 - E^x]^2),x]","2 x^{\frac{4}{-e^{4 x}+\log \left(5-e^x\right)+5}}+x","2 x^{\frac{4}{-e^{4 x}+\log \left(5-e^x\right)+5}}+x",1,"x + 2*x^(4/(5 - E^(4*x) + Log[5 - E^x]))","A",1
2562,1,18,14,0.0311233,"\int e^{2 x} \left(-4-8 x+\left(-4 x-4 x^2\right) \log (4)\right) \, dx","Integrate[E^(2*x)*(-4 - 8*x + (-4*x - 4*x^2)*Log[4]),x]","-4 e^{2 x} \left(\frac{1}{2} x^2 \log (4)+x\right)","-2 e^{2 x} x (x \log (4)+2)",1,"-4*E^(2*x)*(x + (x^2*Log[4])/2)","A",1
2563,1,20,29,0.0202616,"\int \left(1+e^x (1+x)+4^{12+4 x} e^x (-1+e+(-4+4 e) \log (4))\right) \, dx","Integrate[1 + E^x*(1 + x) + 4^(12 + 4*x)*E^x*(-1 + E + (-4 + 4*E)*Log[4]),x]","e^x x+x+16777216 (e-1) e^{x (1+\log (256))}","e^x \left(2-\frac{x+(1-e) 4^{4 (x+3)}}{x}\right) x+x",1,"16777216*(-1 + E)*E^(x*(1 + Log[256])) + x + E^x*x","A",1
2564,1,17,17,0.0063315,"\int \frac{160+48 x+9 x^2}{160 x+84 x^2+9 x^3} \, dx","Integrate[(160 + 48*x + 9*x^2)/(160*x + 84*x^2 + 9*x^3),x]","\log (x)-\log (3 x+8)+\log (3 x+20)","\log \left(\frac{4 x}{-x-\frac{8}{3}}-x\right)",1,"Log[x] - Log[8 + 3*x] + Log[20 + 3*x]","A",1
2565,1,31,28,0.295056,"\int \frac{32+8 x+7 x^3+2 e^{x^2} x^4}{-16 x-8 x^2+4 x^3+e^{x^2} x^3+7 x^4} \, dx","Integrate[(32 + 8*x + 7*x^3 + 2*E^x^2*x^4)/(-16*x - 8*x^2 + 4*x^3 + E^x^2*x^3 + 7*x^4),x]","\log \left(-7 x^3-e^{x^2} x^2-4 x^2+8 x+16\right)-2 \log (x)","\log \left(-\frac{(x+4)^2}{x^2}+e^{x^2}+x \left(\frac{x+5}{x}+6\right)\right)",1,"-2*Log[x] + Log[16 + 8*x - 4*x^2 - E^x^2*x^2 - 7*x^3]","A",1
2566,1,52,19,0.2421703,"\int \frac{-900+14300 x+25500 x^2+18500 x^3+5000 x^4+e^{2 x} \left(200 x+800 x^2+1200 x^3+800 x^4+200 x^5\right)+e^x \left(-100+3200 x+9600 x^2+11000 x^3+5700 x^4+1000 x^5\right)}{1+3 x+3 x^2+x^3} \, dx","Integrate[(-900 + 14300*x + 25500*x^2 + 18500*x^3 + 5000*x^4 + E^(2*x)*(200*x + 800*x^2 + 1200*x^3 + 800*x^4 + 200*x^5) + E^x*(-100 + 3200*x + 9600*x^2 + 11000*x^3 + 5700*x^4 + 1000*x^5))/(1 + 3*x + 3*x^2 + x^3),x]","100 \left(e^{2 x} x^2+25 x^2+\frac{e^x \left(10 x^2+17 x-1\right) x}{x+1}+35 x+\frac{4 (3 x+7)}{(x+1)^2}\right)","\left(10 x \left(e^x+\frac{4}{x+1}+5\right)-5\right)^2",1,"100*(35*x + 25*x^2 + E^(2*x)*x^2 + (4*(7 + 3*x))/(1 + x)^2 + (E^x*x*(-1 + 17*x + 10*x^2))/(1 + x))","B",1
2567,1,28,28,0.2859247,"\int \frac{\exp \left(5 e^x x+5 x^2+e^{e^{e^{10 x}}} \left(5 e^x+5 x\right)\right) \left(e^{2+x} (-5-5 x)-10 e^2 x+e^{e^{e^{10 x}}} \left(-5 e^2-5 e^{2+x}+e^{e^{10 x}+10 x} \left(-50 e^{2+x}-50 e^2 x\right)\right)\right)}{9+6 \exp \left(5 e^x x+5 x^2+e^{e^{e^{10 x}}} \left(5 e^x+5 x\right)\right)+\exp \left(10 e^x x+10 x^2+2 e^{e^{e^{10 x}}} \left(5 e^x+5 x\right)\right)} \, dx","Integrate[(E^(5*E^x*x + 5*x^2 + E^E^E^(10*x)*(5*E^x + 5*x))*(E^(2 + x)*(-5 - 5*x) - 10*E^2*x + E^E^E^(10*x)*(-5*E^2 - 5*E^(2 + x) + E^(E^(10*x) + 10*x)*(-50*E^(2 + x) - 50*E^2*x))))/(9 + 6*E^(5*E^x*x + 5*x^2 + E^E^E^(10*x)*(5*E^x + 5*x)) + E^(10*E^x*x + 10*x^2 + 2*E^E^E^(10*x)*(5*E^x + 5*x))),x]","\frac{e^2}{e^{5 \left(x+e^{e^{e^{10 x}}}\right) \left(x+e^x\right)}+3}","\frac{e^2}{e^{5 \left(x+e^{e^{e^{10 x}}}\right) \left(x+e^x\right)}+3}",1,"E^2/(3 + E^(5*(E^E^E^(10*x) + x)*(E^x + x)))","A",1
2568,1,26,26,0.0920678,"\int \frac{-4 x-2 x^2+(-12-4 x) \log (3+x)+\left(3+x+3 x^2-5 x^3-2 x^4\right) \log ^2(3+x)}{\left(3 x^2+x^3\right) \log ^2(3+x)} \, dx","Integrate[(-4*x - 2*x^2 + (-12 - 4*x)*Log[3 + x] + (3 + x + 3*x^2 - 5*x^3 - 2*x^4)*Log[3 + x]^2)/((3*x^2 + x^3)*Log[3 + x]^2),x]","-x^2+x-\frac{1}{x}+\frac{2 (x+2)}{x \log (x+3)}","x \left(\frac{\frac{2 x+4}{\log (x+3)}-1}{x^2}-x\right)+x",1,"-x^(-1) + x - x^2 + (2*(2 + x))/(x*Log[3 + x])","A",1
2569,1,24,26,0.2525014,"\int \frac{16 \log ^2\left(x^2\right)+e^{2 e^{e^{\frac{x}{\log \left(x^2\right)}}}+4 x} \left((1+4 x) \log ^2\left(x^2\right)+e^{e^{\frac{x}{\log \left(x^2\right)}}+\frac{x}{\log \left(x^2\right)}} \left(-4 x+2 x \log \left(x^2\right)\right)\right)+e^{e^{e^{\frac{x}{\log \left(x^2\right)}}}+2 x} \left((8+16 x) \log ^2\left(x^2\right)+e^{e^{\frac{x}{\log \left(x^2\right)}}+\frac{x}{\log \left(x^2\right)}} \left(-16 x+8 x \log \left(x^2\right)\right)\right)}{\log ^2\left(x^2\right)} \, dx","Integrate[(16*Log[x^2]^2 + E^(2*E^E^(x/Log[x^2]) + 4*x)*((1 + 4*x)*Log[x^2]^2 + E^(E^(x/Log[x^2]) + x/Log[x^2])*(-4*x + 2*x*Log[x^2])) + E^(E^E^(x/Log[x^2]) + 2*x)*((8 + 16*x)*Log[x^2]^2 + E^(E^(x/Log[x^2]) + x/Log[x^2])*(-16*x + 8*x*Log[x^2])))/Log[x^2]^2,x]","x \left(e^{e^{e^{\frac{x}{\log \left(x^2\right)}}}+2 x}+4\right)^2","x \left(e^{e^{e^{\frac{x}{\log \left(x^2\right)}}}+2 x}+4\right)^2-4",1,"(4 + E^(E^E^(x/Log[x^2]) + 2*x))^2*x","A",1
2570,1,31,31,0.0687169,"\int \frac{\exp \left(\frac{-15+5 x}{\left(39 x-8 x^2-4 x^3+x^4\right) \log (x)}\right) \left(-585+315 x+20 x^2-35 x^3+5 x^4+\left(-585+240 x+140 x^2-100 x^3+15 x^4\right) \log (x)\right)}{\left(1521 x^2-624 x^3-248 x^4+142 x^5-8 x^7+x^8\right) \log ^2(x)} \, dx","Integrate[(E^((-15 + 5*x)/((39*x - 8*x^2 - 4*x^3 + x^4)*Log[x]))*(-585 + 315*x + 20*x^2 - 35*x^3 + 5*x^4 + (-585 + 240*x + 140*x^2 - 100*x^3 + 15*x^4)*Log[x]))/((1521*x^2 - 624*x^3 - 248*x^4 + 142*x^5 - 8*x^7 + x^8)*Log[x]^2),x]","-e^{\frac{5 (x-3)}{x \left(x^3-4 x^2-8 x+39\right) \log (x)}}","\log (2)-e^{\frac{5}{x (x+3) \left(x+\frac{1}{x-3}-4\right) \log (x)}}",1,"-E^((5*(-3 + x))/(x*(39 - 8*x - 4*x^2 + x^3)*Log[x]))","A",1
2571,1,509,24,8.984005,"\int \frac{2+2 e^{144}+e^{64+4 x} (-14+8 x)+e^4 (-64+64 x)+e^8 \left(-960 x+720 x^2\right)+e^{12} \left(-6720 x^2+4480 x^3\right)+e^{16} \left(-29120 x^3+18200 x^4\right)+e^{20} \left(-87360 x^4+52416 x^5\right)+e^{24} \left(-192192 x^5+112112 x^6\right)+e^{28} \left(-320320 x^6+183040 x^7\right)+e^{32} \left(-411840 x^7+231660 x^8\right)+e^{36} \left(-411840 x^8+228800 x^9\right)+e^{40} \left(-320320 x^9+176176 x^{10}\right)+e^{44} \left(-192192 x^{10}+104832 x^{11}\right)+e^{48} \left(-87360 x^{11}+47320 x^{12}\right)+e^{52} \left(-29120 x^{12}+15680 x^{13}\right)+e^{56} \left(-6720 x^{13}+3600 x^{14}\right)+e^{60} \left(-960 x^{14}+512 x^{15}\right)+e^{64} \left(-64 x^{15}+34 x^{16}\right)+e^{75} \left(32 e^{60}+e^{64} (-64+64 x)\right)+e^{70} \left(240 e^{56}+e^{60} (-960+960 x)+e^{64} \left(-960 x+720 x^2\right)\right)+e^{65} \left(1120 e^{52}+e^{56} (-6720+6720 x)+e^{60} \left(-13440 x+10080 x^2\right)+e^{64} \left(-6720 x^2+4480 x^3\right)\right)+e^{60} \left(3640 e^{48}+e^{52} (-29120+29120 x)+e^{56} \left(-87360 x+65520 x^2\right)+e^{60} \left(-87360 x^2+58240 x^3\right)+e^{64} \left(-29120 x^3+18200 x^4\right)\right)+e^{55} \left(8736 e^{44}+e^{48} (-87360+87360 x)+e^{52} \left(-349440 x+262080 x^2\right)+e^{56} \left(-524160 x^2+349440 x^3\right)+e^{60} \left(-349440 x^3+218400 x^4\right)+e^{64} \left(-87360 x^4+52416 x^5\right)\right)+e^{50} \left(16016 e^{40}+e^{44} (-192192+192192 x)+e^{48} \left(-960960 x+720720 x^2\right)+e^{52} \left(-1921920 x^2+1281280 x^3\right)+e^{56} \left(-1921920 x^3+1201200 x^4\right)+e^{60} \left(-960960 x^4+576576 x^5\right)+e^{64} \left(-192192 x^5+112112 x^6\right)\right)+e^{45} \left(22880 e^{36}+e^{40} (-320320+320320 x)+e^{44} \left(-1921920 x+1441440 x^2\right)+e^{48} \left(-4804800 x^2+3203200 x^3\right)+e^{52} \left(-6406400 x^3+4004000 x^4\right)+e^{56} \left(-4804800 x^4+2882880 x^5\right)+e^{60} \left(-1921920 x^5+1121120 x^6\right)+e^{64} \left(-320320 x^6+183040 x^7\right)\right)+e^{40} \left(25740 e^{32}+e^{36} (-411840+411840 x)+e^{40} \left(-2882880 x+2162160 x^2\right)+e^{44} \left(-8648640 x^2+5765760 x^3\right)+e^{48} \left(-14414400 x^3+9009000 x^4\right)+e^{52} \left(-14414400 x^4+8648640 x^5\right)+e^{56} \left(-8648640 x^5+5045040 x^6\right)+e^{60} \left(-2882880 x^6+1647360 x^7\right)+e^{64} \left(-411840 x^7+231660 x^8\right)\right)+e^{35} \left(22880 e^{28}+e^{32} (-411840+411840 x)+e^{36} \left(-3294720 x+2471040 x^2\right)+e^{40} \left(-11531520 x^2+7687680 x^3\right)+e^{44} \left(-23063040 x^3+14414400 x^4\right)+e^{48} \left(-28828800 x^4+17297280 x^5\right)+e^{52} \left(-23063040 x^5+13453440 x^6\right)+e^{56} \left(-11531520 x^6+6589440 x^7\right)+e^{60} \left(-3294720 x^7+1853280 x^8\right)+e^{64} \left(-411840 x^8+228800 x^9\right)\right)+e^{30} \left(16016 e^{24}+e^{28} (-320320+320320 x)+e^{32} \left(-2882880 x+2162160 x^2\right)+e^{36} \left(-11531520 x^2+7687680 x^3\right)+e^{40} \left(-26906880 x^3+16816800 x^4\right)+e^{44} \left(-40360320 x^4+24216192 x^5\right)+e^{48} \left(-40360320 x^5+23543520 x^6\right)+e^{52} \left(-26906880 x^6+15375360 x^7\right)+e^{56} \left(-11531520 x^7+6486480 x^8\right)+e^{60} \left(-2882880 x^8+1601600 x^9\right)+e^{64} \left(-320320 x^9+176176 x^{10}\right)\right)+e^{25} \left(8736 e^{20}+e^{24} (-192192+192192 x)+e^{28} \left(-1921920 x+1441440 x^2\right)+e^{32} \left(-8648640 x^2+5765760 x^3\right)+e^{36} \left(-23063040 x^3+14414400 x^4\right)+e^{40} \left(-40360320 x^4+24216192 x^5\right)+e^{44} \left(-48432384 x^5+28252224 x^6\right)+e^{48} \left(-40360320 x^6+23063040 x^7\right)+e^{52} \left(-23063040 x^7+12972960 x^8\right)+e^{56} \left(-8648640 x^8+4804800 x^9\right)+e^{60} \left(-1921920 x^9+1057056 x^{10}\right)+e^{64} \left(-192192 x^{10}+104832 x^{11}\right)\right)+e^{20} \left(3640 e^{16}+e^{20} (-87360+87360 x)+e^{24} \left(-960960 x+720720 x^2\right)+e^{28} \left(-4804800 x^2+3203200 x^3\right)+e^{32} \left(-14414400 x^3+9009000 x^4\right)+e^{36} \left(-28828800 x^4+17297280 x^5\right)+e^{40} \left(-40360320 x^5+23543520 x^6\right)+e^{44} \left(-40360320 x^6+23063040 x^7\right)+e^{48} \left(-28828800 x^7+16216200 x^8\right)+e^{52} \left(-14414400 x^8+8008000 x^9\right)+e^{56} \left(-4804800 x^9+2642640 x^{10}\right)+e^{60} \left(-960960 x^{10}+524160 x^{11}\right)+e^{64} \left(-87360 x^{11}+47320 x^{12}\right)\right)+e^{15} \left(1120 e^{12}+e^{16} (-29120+29120 x)+e^{20} \left(-349440 x+262080 x^2\right)+e^{24} \left(-1921920 x^2+1281280 x^3\right)+e^{28} \left(-6406400 x^3+4004000 x^4\right)+e^{32} \left(-14414400 x^4+8648640 x^5\right)+e^{36} \left(-23063040 x^5+13453440 x^6\right)+e^{40} \left(-26906880 x^6+15375360 x^7\right)+e^{44} \left(-23063040 x^7+12972960 x^8\right)+e^{48} \left(-14414400 x^8+8008000 x^9\right)+e^{52} \left(-6406400 x^9+3523520 x^{10}\right)+e^{56} \left(-1921920 x^{10}+1048320 x^{11}\right)+e^{60} \left(-349440 x^{11}+189280 x^{12}\right)+e^{64} \left(-29120 x^{12}+15680 x^{13}\right)\right)+e^{10} \left(240 e^8+e^{12} (-6720+6720 x)+e^{16} \left(-87360 x+65520 x^2\right)+e^{20} \left(-524160 x^2+349440 x^3\right)+e^{24} \left(-1921920 x^3+1201200 x^4\right)+e^{28} \left(-4804800 x^4+2882880 x^5\right)+e^{32} \left(-8648640 x^5+5045040 x^6\right)+e^{36} \left(-11531520 x^6+6589440 x^7\right)+e^{40} \left(-11531520 x^7+6486480 x^8\right)+e^{44} \left(-8648640 x^8+4804800 x^9\right)+e^{48} \left(-4804800 x^9+2642640 x^{10}\right)+e^{52} \left(-1921920 x^{10}+1048320 x^{11}\right)+e^{56} \left(-524160 x^{11}+283920 x^{12}\right)+e^{60} \left(-87360 x^{12}+47040 x^{13}\right)+e^{64} \left(-6720 x^{13}+3600 x^{14}\right)\right)+e^5 \left(32 e^4+e^8 (-960+960 x)+e^{12} \left(-13440 x+10080 x^2\right)+e^{16} \left(-87360 x^2+58240 x^3\right)+e^{20} \left(-349440 x^3+218400 x^4\right)+e^{24} \left(-960960 x^4+576576 x^5\right)+e^{28} \left(-1921920 x^5+1121120 x^6\right)+e^{32} \left(-2882880 x^6+1647360 x^7\right)+e^{36} \left(-3294720 x^7+1853280 x^8\right)+e^{40} \left(-2882880 x^8+1601600 x^9\right)+e^{44} \left(-1921920 x^9+1057056 x^{10}\right)+e^{48} \left(-960960 x^{10}+524160 x^{11}\right)+e^{52} \left(-349440 x^{11}+189280 x^{12}\right)+e^{56} \left(-87360 x^{12}+47040 x^{13}\right)+e^{60} \left(-13440 x^{13}+7200 x^{14}\right)+e^{64} \left(-960 x^{14}+512 x^{15}\right)\right)+e^{3 x} \left(e^{48} (40-24 x)+e^{84} (40-24 x)+e^{52} \left(64+128 x-96 x^2\right)+e^{56} \left(192 x+144 x^2-144 x^3\right)+e^{60} \left(192 x^2+64 x^3-96 x^4\right)+e^{64} \left(64 x^3+8 x^4-24 x^5\right)+e^{15} \left(e^{60} (160-96 x)+e^{64} \left(64+128 x-96 x^2\right)\right)+e^{10} \left(e^{56} (240-144 x)+e^{60} \left(192+384 x-288 x^2\right)+e^{64} \left(192 x+144 x^2-144 x^3\right)\right)+e^5 \left(e^{52} (160-96 x)+e^{56} \left(192+384 x-288 x^2\right)+e^{60} \left(384 x+288 x^2-288 x^3\right)+e^{64} \left(192 x^2+64 x^3-96 x^4\right)\right)\right)+e^{2 x} \left(e^{32} (-36+24 x)+e^{104} (-36+24 x)+e^{36} \left(-192-192 x+192 x^2\right)+e^{40} \left(-1344 x-336 x^2+672 x^3\right)+e^{44} \left(-4032 x^2+1344 x^4\right)+e^{48} \left(-6720 x^3+840 x^4+1680 x^5\right)+e^{52} \left(-6720 x^4+1344 x^5+1344 x^6\right)+e^{56} \left(-4032 x^5+1008 x^6+672 x^7\right)+e^{60} \left(-1344 x^6+384 x^7+192 x^8\right)+e^{64} \left(-192 x^7+60 x^8+24 x^9\right)+e^{35} \left(e^{60} (-288+192 x)+e^{64} \left(-192-192 x+192 x^2\right)\right)+e^{30} \left(e^{56} (-1008+672 x)+e^{60} \left(-1344-1344 x+1344 x^2\right)+e^{64} \left(-1344 x-336 x^2+672 x^3\right)\right)+e^{25} \left(e^{52} (-2016+1344 x)+e^{56} \left(-4032-4032 x+4032 x^2\right)+e^{60} \left(-8064 x-2016 x^2+4032 x^3\right)+e^{64} \left(-4032 x^2+1344 x^4\right)\right)+e^{20} \left(e^{48} (-2520+1680 x)+e^{52} \left(-6720-6720 x+6720 x^2\right)+e^{56} \left(-20160 x-5040 x^2+10080 x^3\right)+e^{60} \left(-20160 x^2+6720 x^4\right)+e^{64} \left(-6720 x^3+840 x^4+1680 x^5\right)\right)+e^{15} \left(e^{44} (-2016+1344 x)+e^{48} \left(-6720-6720 x+6720 x^2\right)+e^{52} \left(-26880 x-6720 x^2+13440 x^3\right)+e^{56} \left(-40320 x^2+13440 x^4\right)+e^{60} \left(-26880 x^3+3360 x^4+6720 x^5\right)+e^{64} \left(-6720 x^4+1344 x^5+1344 x^6\right)\right)+e^{10} \left(e^{40} (-1008+672 x)+e^{44} \left(-4032-4032 x+4032 x^2\right)+e^{48} \left(-20160 x-5040 x^2+10080 x^3\right)+e^{52} \left(-40320 x^2+13440 x^4\right)+e^{56} \left(-40320 x^3+5040 x^4+10080 x^5\right)+e^{60} \left(-20160 x^4+4032 x^5+4032 x^6\right)+e^{64} \left(-4032 x^5+1008 x^6+672 x^7\right)\right)+e^5 \left(e^{36} (-288+192 x)+e^{40} \left(-1344-1344 x+1344 x^2\right)+e^{44} \left(-8064 x-2016 x^2+4032 x^3\right)+e^{48} \left(-20160 x^2+6720 x^4\right)+e^{52} \left(-26880 x^3+3360 x^4+6720 x^5\right)+e^{56} \left(-20160 x^4+4032 x^5+4032 x^6\right)+e^{60} \left(-8064 x^5+2016 x^6+1344 x^7\right)+e^{64} \left(-1344 x^6+384 x^7+192 x^8\right)\right)\right)+e^x \left(e^{16} (8-8 x)+e^{124} (8-8 x)+e^{20} \left(192-96 x^2\right)+e^{24} \left(2112 x-528 x^2-528 x^3\right)+e^{28} \left(10560 x^2-3520 x^3-1760 x^4\right)+e^{32} \left(31680 x^3-11880 x^4-3960 x^5\right)+e^{36} \left(63360 x^4-25344 x^5-6336 x^6\right)+e^{40} \left(88704 x^5-36960 x^6-7392 x^7\right)+e^{44} \left(88704 x^6-38016 x^7-6336 x^8\right)+e^{48} \left(63360 x^7-27720 x^8-3960 x^9\right)+e^{52} \left(31680 x^8-14080 x^9-1760 x^{10}\right)+e^{56} \left(10560 x^9-4752 x^{10}-528 x^{11}\right)+e^{60} \left(2112 x^{10}-960 x^{11}-96 x^{12}\right)+e^{64} \left(192 x^{11}-88 x^{12}-8 x^{13}\right)+e^{55} \left(e^{60} (96-96 x)+e^{64} \left(192-96 x^2\right)\right)+e^{50} \left(e^{56} (528-528 x)+e^{60} \left(2112-1056 x^2\right)+e^{64} \left(2112 x-528 x^2-528 x^3\right)\right)+e^{45} \left(e^{52} (1760-1760 x)+e^{56} \left(10560-5280 x^2\right)+e^{60} \left(21120 x-5280 x^2-5280 x^3\right)+e^{64} \left(10560 x^2-3520 x^3-1760 x^4\right)\right)+e^{40} \left(e^{48} (3960-3960 x)+e^{52} \left(31680-15840 x^2\right)+e^{56} \left(95040 x-23760 x^2-23760 x^3\right)+e^{60} \left(95040 x^2-31680 x^3-15840 x^4\right)+e^{64} \left(31680 x^3-11880 x^4-3960 x^5\right)\right)+e^{35} \left(e^{44} (6336-6336 x)+e^{48} \left(63360-31680 x^2\right)+e^{52} \left(253440 x-63360 x^2-63360 x^3\right)+e^{56} \left(380160 x^2-126720 x^3-63360 x^4\right)+e^{60} \left(253440 x^3-95040 x^4-31680 x^5\right)+e^{64} \left(63360 x^4-25344 x^5-6336 x^6\right)\right)+e^{30} \left(e^{40} (7392-7392 x)+e^{44} \left(88704-44352 x^2\right)+e^{48} \left(443520 x-110880 x^2-110880 x^3\right)+e^{52} \left(887040 x^2-295680 x^3-147840 x^4\right)+e^{56} \left(887040 x^3-332640 x^4-110880 x^5\right)+e^{60} \left(443520 x^4-177408 x^5-44352 x^6\right)+e^{64} \left(88704 x^5-36960 x^6-7392 x^7\right)\right)+e^{25} \left(e^{36} (6336-6336 x)+e^{40} \left(88704-44352 x^2\right)+e^{44} \left(532224 x-133056 x^2-133056 x^3\right)+e^{48} \left(1330560 x^2-443520 x^3-221760 x^4\right)+e^{52} \left(1774080 x^3-665280 x^4-221760 x^5\right)+e^{56} \left(1330560 x^4-532224 x^5-133056 x^6\right)+e^{60} \left(532224 x^5-221760 x^6-44352 x^7\right)+e^{64} \left(88704 x^6-38016 x^7-6336 x^8\right)\right)+e^{20} \left(e^{32} (3960-3960 x)+e^{36} \left(63360-31680 x^2\right)+e^{40} \left(443520 x-110880 x^2-110880 x^3\right)+e^{44} \left(1330560 x^2-443520 x^3-221760 x^4\right)+e^{48} \left(2217600 x^3-831600 x^4-277200 x^5\right)+e^{52} \left(2217600 x^4-887040 x^5-221760 x^6\right)+e^{56} \left(1330560 x^5-554400 x^6-110880 x^7\right)+e^{60} \left(443520 x^6-190080 x^7-31680 x^8\right)+e^{64} \left(63360 x^7-27720 x^8-3960 x^9\right)\right)+e^{15} \left(e^{28} (1760-1760 x)+e^{32} \left(31680-15840 x^2\right)+e^{36} \left(253440 x-63360 x^2-63360 x^3\right)+e^{40} \left(887040 x^2-295680 x^3-147840 x^4\right)+e^{44} \left(1774080 x^3-665280 x^4-221760 x^5\right)+e^{48} \left(2217600 x^4-887040 x^5-221760 x^6\right)+e^{52} \left(1774080 x^5-739200 x^6-147840 x^7\right)+e^{56} \left(887040 x^6-380160 x^7-63360 x^8\right)+e^{60} \left(253440 x^7-110880 x^8-15840 x^9\right)+e^{64} \left(31680 x^8-14080 x^9-1760 x^{10}\right)\right)+e^{10} \left(e^{24} (528-528 x)+e^{28} \left(10560-5280 x^2\right)+e^{32} \left(95040 x-23760 x^2-23760 x^3\right)+e^{36} \left(380160 x^2-126720 x^3-63360 x^4\right)+e^{40} \left(887040 x^3-332640 x^4-110880 x^5\right)+e^{44} \left(1330560 x^4-532224 x^5-133056 x^6\right)+e^{48} \left(1330560 x^5-554400 x^6-110880 x^7\right)+e^{52} \left(887040 x^6-380160 x^7-63360 x^8\right)+e^{56} \left(380160 x^7-166320 x^8-23760 x^9\right)+e^{60} \left(95040 x^8-42240 x^9-5280 x^{10}\right)+e^{64} \left(10560 x^9-4752 x^{10}-528 x^{11}\right)\right)+e^5 \left(e^{20} (96-96 x)+e^{24} \left(2112-1056 x^2\right)+e^{28} \left(21120 x-5280 x^2-5280 x^3\right)+e^{32} \left(95040 x^2-31680 x^3-15840 x^4\right)+e^{36} \left(253440 x^3-95040 x^4-31680 x^5\right)+e^{40} \left(443520 x^4-177408 x^5-44352 x^6\right)+e^{44} \left(532224 x^5-221760 x^6-44352 x^7\right)+e^{48} \left(443520 x^6-190080 x^7-31680 x^8\right)+e^{52} \left(253440 x^7-110880 x^8-15840 x^9\right)+e^{56} \left(95040 x^8-42240 x^9-5280 x^{10}\right)+e^{60} \left(21120 x^9-9504 x^{10}-1056 x^{11}\right)+e^{64} \left(2112 x^{10}-960 x^{11}-96 x^{12}\right)\right)\right)}{e^{64}} \, dx","Integrate[(2 + 2*E^144 + E^(64 + 4*x)*(-14 + 8*x) + E^4*(-64 + 64*x) + E^8*(-960*x + 720*x^2) + E^12*(-6720*x^2 + 4480*x^3) + E^16*(-29120*x^3 + 18200*x^4) + E^20*(-87360*x^4 + 52416*x^5) + E^24*(-192192*x^5 + 112112*x^6) + E^28*(-320320*x^6 + 183040*x^7) + E^32*(-411840*x^7 + 231660*x^8) + E^36*(-411840*x^8 + 228800*x^9) + E^40*(-320320*x^9 + 176176*x^10) + E^44*(-192192*x^10 + 104832*x^11) + E^48*(-87360*x^11 + 47320*x^12) + E^52*(-29120*x^12 + 15680*x^13) + E^56*(-6720*x^13 + 3600*x^14) + E^60*(-960*x^14 + 512*x^15) + E^64*(-64*x^15 + 34*x^16) + E^75*(32*E^60 + E^64*(-64 + 64*x)) + E^70*(240*E^56 + E^60*(-960 + 960*x) + E^64*(-960*x + 720*x^2)) + E^65*(1120*E^52 + E^56*(-6720 + 6720*x) + E^60*(-13440*x + 10080*x^2) + E^64*(-6720*x^2 + 4480*x^3)) + E^60*(3640*E^48 + E^52*(-29120 + 29120*x) + E^56*(-87360*x + 65520*x^2) + E^60*(-87360*x^2 + 58240*x^3) + E^64*(-29120*x^3 + 18200*x^4)) + E^55*(8736*E^44 + E^48*(-87360 + 87360*x) + E^52*(-349440*x + 262080*x^2) + E^56*(-524160*x^2 + 349440*x^3) + E^60*(-349440*x^3 + 218400*x^4) + E^64*(-87360*x^4 + 52416*x^5)) + E^50*(16016*E^40 + E^44*(-192192 + 192192*x) + E^48*(-960960*x + 720720*x^2) + E^52*(-1921920*x^2 + 1281280*x^3) + E^56*(-1921920*x^3 + 1201200*x^4) + E^60*(-960960*x^4 + 576576*x^5) + E^64*(-192192*x^5 + 112112*x^6)) + E^45*(22880*E^36 + E^40*(-320320 + 320320*x) + E^44*(-1921920*x + 1441440*x^2) + E^48*(-4804800*x^2 + 3203200*x^3) + E^52*(-6406400*x^3 + 4004000*x^4) + E^56*(-4804800*x^4 + 2882880*x^5) + E^60*(-1921920*x^5 + 1121120*x^6) + E^64*(-320320*x^6 + 183040*x^7)) + E^40*(25740*E^32 + E^36*(-411840 + 411840*x) + E^40*(-2882880*x + 2162160*x^2) + E^44*(-8648640*x^2 + 5765760*x^3) + E^48*(-14414400*x^3 + 9009000*x^4) + E^52*(-14414400*x^4 + 8648640*x^5) + E^56*(-8648640*x^5 + 5045040*x^6) + E^60*(-2882880*x^6 + 1647360*x^7) + E^64*(-411840*x^7 + 231660*x^8)) + E^35*(22880*E^28 + E^32*(-411840 + 411840*x) + E^36*(-3294720*x + 2471040*x^2) + E^40*(-11531520*x^2 + 7687680*x^3) + E^44*(-23063040*x^3 + 14414400*x^4) + E^48*(-28828800*x^4 + 17297280*x^5) + E^52*(-23063040*x^5 + 13453440*x^6) + E^56*(-11531520*x^6 + 6589440*x^7) + E^60*(-3294720*x^7 + 1853280*x^8) + E^64*(-411840*x^8 + 228800*x^9)) + E^30*(16016*E^24 + E^28*(-320320 + 320320*x) + E^32*(-2882880*x + 2162160*x^2) + E^36*(-11531520*x^2 + 7687680*x^3) + E^40*(-26906880*x^3 + 16816800*x^4) + E^44*(-40360320*x^4 + 24216192*x^5) + E^48*(-40360320*x^5 + 23543520*x^6) + E^52*(-26906880*x^6 + 15375360*x^7) + E^56*(-11531520*x^7 + 6486480*x^8) + E^60*(-2882880*x^8 + 1601600*x^9) + E^64*(-320320*x^9 + 176176*x^10)) + E^25*(8736*E^20 + E^24*(-192192 + 192192*x) + E^28*(-1921920*x + 1441440*x^2) + E^32*(-8648640*x^2 + 5765760*x^3) + E^36*(-23063040*x^3 + 14414400*x^4) + E^40*(-40360320*x^4 + 24216192*x^5) + E^44*(-48432384*x^5 + 28252224*x^6) + E^48*(-40360320*x^6 + 23063040*x^7) + E^52*(-23063040*x^7 + 12972960*x^8) + E^56*(-8648640*x^8 + 4804800*x^9) + E^60*(-1921920*x^9 + 1057056*x^10) + E^64*(-192192*x^10 + 104832*x^11)) + E^20*(3640*E^16 + E^20*(-87360 + 87360*x) + E^24*(-960960*x + 720720*x^2) + E^28*(-4804800*x^2 + 3203200*x^3) + E^32*(-14414400*x^3 + 9009000*x^4) + E^36*(-28828800*x^4 + 17297280*x^5) + E^40*(-40360320*x^5 + 23543520*x^6) + E^44*(-40360320*x^6 + 23063040*x^7) + E^48*(-28828800*x^7 + 16216200*x^8) + E^52*(-14414400*x^8 + 8008000*x^9) + E^56*(-4804800*x^9 + 2642640*x^10) + E^60*(-960960*x^10 + 524160*x^11) + E^64*(-87360*x^11 + 47320*x^12)) + E^15*(1120*E^12 + E^16*(-29120 + 29120*x) + E^20*(-349440*x + 262080*x^2) + E^24*(-1921920*x^2 + 1281280*x^3) + E^28*(-6406400*x^3 + 4004000*x^4) + E^32*(-14414400*x^4 + 8648640*x^5) + E^36*(-23063040*x^5 + 13453440*x^6) + E^40*(-26906880*x^6 + 15375360*x^7) + E^44*(-23063040*x^7 + 12972960*x^8) + E^48*(-14414400*x^8 + 8008000*x^9) + E^52*(-6406400*x^9 + 3523520*x^10) + E^56*(-1921920*x^10 + 1048320*x^11) + E^60*(-349440*x^11 + 189280*x^12) + E^64*(-29120*x^12 + 15680*x^13)) + E^10*(240*E^8 + E^12*(-6720 + 6720*x) + E^16*(-87360*x + 65520*x^2) + E^20*(-524160*x^2 + 349440*x^3) + E^24*(-1921920*x^3 + 1201200*x^4) + E^28*(-4804800*x^4 + 2882880*x^5) + E^32*(-8648640*x^5 + 5045040*x^6) + E^36*(-11531520*x^6 + 6589440*x^7) + E^40*(-11531520*x^7 + 6486480*x^8) + E^44*(-8648640*x^8 + 4804800*x^9) + E^48*(-4804800*x^9 + 2642640*x^10) + E^52*(-1921920*x^10 + 1048320*x^11) + E^56*(-524160*x^11 + 283920*x^12) + E^60*(-87360*x^12 + 47040*x^13) + E^64*(-6720*x^13 + 3600*x^14)) + E^5*(32*E^4 + E^8*(-960 + 960*x) + E^12*(-13440*x + 10080*x^2) + E^16*(-87360*x^2 + 58240*x^3) + E^20*(-349440*x^3 + 218400*x^4) + E^24*(-960960*x^4 + 576576*x^5) + E^28*(-1921920*x^5 + 1121120*x^6) + E^32*(-2882880*x^6 + 1647360*x^7) + E^36*(-3294720*x^7 + 1853280*x^8) + E^40*(-2882880*x^8 + 1601600*x^9) + E^44*(-1921920*x^9 + 1057056*x^10) + E^48*(-960960*x^10 + 524160*x^11) + E^52*(-349440*x^11 + 189280*x^12) + E^56*(-87360*x^12 + 47040*x^13) + E^60*(-13440*x^13 + 7200*x^14) + E^64*(-960*x^14 + 512*x^15)) + E^(3*x)*(E^48*(40 - 24*x) + E^84*(40 - 24*x) + E^52*(64 + 128*x - 96*x^2) + E^56*(192*x + 144*x^2 - 144*x^3) + E^60*(192*x^2 + 64*x^3 - 96*x^4) + E^64*(64*x^3 + 8*x^4 - 24*x^5) + E^15*(E^60*(160 - 96*x) + E^64*(64 + 128*x - 96*x^2)) + E^10*(E^56*(240 - 144*x) + E^60*(192 + 384*x - 288*x^2) + E^64*(192*x + 144*x^2 - 144*x^3)) + E^5*(E^52*(160 - 96*x) + E^56*(192 + 384*x - 288*x^2) + E^60*(384*x + 288*x^2 - 288*x^3) + E^64*(192*x^2 + 64*x^3 - 96*x^4))) + E^(2*x)*(E^32*(-36 + 24*x) + E^104*(-36 + 24*x) + E^36*(-192 - 192*x + 192*x^2) + E^40*(-1344*x - 336*x^2 + 672*x^3) + E^44*(-4032*x^2 + 1344*x^4) + E^48*(-6720*x^3 + 840*x^4 + 1680*x^5) + E^52*(-6720*x^4 + 1344*x^5 + 1344*x^6) + E^56*(-4032*x^5 + 1008*x^6 + 672*x^7) + E^60*(-1344*x^6 + 384*x^7 + 192*x^8) + E^64*(-192*x^7 + 60*x^8 + 24*x^9) + E^35*(E^60*(-288 + 192*x) + E^64*(-192 - 192*x + 192*x^2)) + E^30*(E^56*(-1008 + 672*x) + E^60*(-1344 - 1344*x + 1344*x^2) + E^64*(-1344*x - 336*x^2 + 672*x^3)) + E^25*(E^52*(-2016 + 1344*x) + E^56*(-4032 - 4032*x + 4032*x^2) + E^60*(-8064*x - 2016*x^2 + 4032*x^3) + E^64*(-4032*x^2 + 1344*x^4)) + E^20*(E^48*(-2520 + 1680*x) + E^52*(-6720 - 6720*x + 6720*x^2) + E^56*(-20160*x - 5040*x^2 + 10080*x^3) + E^60*(-20160*x^2 + 6720*x^4) + E^64*(-6720*x^3 + 840*x^4 + 1680*x^5)) + E^15*(E^44*(-2016 + 1344*x) + E^48*(-6720 - 6720*x + 6720*x^2) + E^52*(-26880*x - 6720*x^2 + 13440*x^3) + E^56*(-40320*x^2 + 13440*x^4) + E^60*(-26880*x^3 + 3360*x^4 + 6720*x^5) + E^64*(-6720*x^4 + 1344*x^5 + 1344*x^6)) + E^10*(E^40*(-1008 + 672*x) + E^44*(-4032 - 4032*x + 4032*x^2) + E^48*(-20160*x - 5040*x^2 + 10080*x^3) + E^52*(-40320*x^2 + 13440*x^4) + E^56*(-40320*x^3 + 5040*x^4 + 10080*x^5) + E^60*(-20160*x^4 + 4032*x^5 + 4032*x^6) + E^64*(-4032*x^5 + 1008*x^6 + 672*x^7)) + E^5*(E^36*(-288 + 192*x) + E^40*(-1344 - 1344*x + 1344*x^2) + E^44*(-8064*x - 2016*x^2 + 4032*x^3) + E^48*(-20160*x^2 + 6720*x^4) + E^52*(-26880*x^3 + 3360*x^4 + 6720*x^5) + E^56*(-20160*x^4 + 4032*x^5 + 4032*x^6) + E^60*(-8064*x^5 + 2016*x^6 + 1344*x^7) + E^64*(-1344*x^6 + 384*x^7 + 192*x^8))) + E^x*(E^16*(8 - 8*x) + E^124*(8 - 8*x) + E^20*(192 - 96*x^2) + E^24*(2112*x - 528*x^2 - 528*x^3) + E^28*(10560*x^2 - 3520*x^3 - 1760*x^4) + E^32*(31680*x^3 - 11880*x^4 - 3960*x^5) + E^36*(63360*x^4 - 25344*x^5 - 6336*x^6) + E^40*(88704*x^5 - 36960*x^6 - 7392*x^7) + E^44*(88704*x^6 - 38016*x^7 - 6336*x^8) + E^48*(63360*x^7 - 27720*x^8 - 3960*x^9) + E^52*(31680*x^8 - 14080*x^9 - 1760*x^10) + E^56*(10560*x^9 - 4752*x^10 - 528*x^11) + E^60*(2112*x^10 - 960*x^11 - 96*x^12) + E^64*(192*x^11 - 88*x^12 - 8*x^13) + E^55*(E^60*(96 - 96*x) + E^64*(192 - 96*x^2)) + E^50*(E^56*(528 - 528*x) + E^60*(2112 - 1056*x^2) + E^64*(2112*x - 528*x^2 - 528*x^3)) + E^45*(E^52*(1760 - 1760*x) + E^56*(10560 - 5280*x^2) + E^60*(21120*x - 5280*x^2 - 5280*x^3) + E^64*(10560*x^2 - 3520*x^3 - 1760*x^4)) + E^40*(E^48*(3960 - 3960*x) + E^52*(31680 - 15840*x^2) + E^56*(95040*x - 23760*x^2 - 23760*x^3) + E^60*(95040*x^2 - 31680*x^3 - 15840*x^4) + E^64*(31680*x^3 - 11880*x^4 - 3960*x^5)) + E^35*(E^44*(6336 - 6336*x) + E^48*(63360 - 31680*x^2) + E^52*(253440*x - 63360*x^2 - 63360*x^3) + E^56*(380160*x^2 - 126720*x^3 - 63360*x^4) + E^60*(253440*x^3 - 95040*x^4 - 31680*x^5) + E^64*(63360*x^4 - 25344*x^5 - 6336*x^6)) + E^30*(E^40*(7392 - 7392*x) + E^44*(88704 - 44352*x^2) + E^48*(443520*x - 110880*x^2 - 110880*x^3) + E^52*(887040*x^2 - 295680*x^3 - 147840*x^4) + E^56*(887040*x^3 - 332640*x^4 - 110880*x^5) + E^60*(443520*x^4 - 177408*x^5 - 44352*x^6) + E^64*(88704*x^5 - 36960*x^6 - 7392*x^7)) + E^25*(E^36*(6336 - 6336*x) + E^40*(88704 - 44352*x^2) + E^44*(532224*x - 133056*x^2 - 133056*x^3) + E^48*(1330560*x^2 - 443520*x^3 - 221760*x^4) + E^52*(1774080*x^3 - 665280*x^4 - 221760*x^5) + E^56*(1330560*x^4 - 532224*x^5 - 133056*x^6) + E^60*(532224*x^5 - 221760*x^6 - 44352*x^7) + E^64*(88704*x^6 - 38016*x^7 - 6336*x^8)) + E^20*(E^32*(3960 - 3960*x) + E^36*(63360 - 31680*x^2) + E^40*(443520*x - 110880*x^2 - 110880*x^3) + E^44*(1330560*x^2 - 443520*x^3 - 221760*x^4) + E^48*(2217600*x^3 - 831600*x^4 - 277200*x^5) + E^52*(2217600*x^4 - 887040*x^5 - 221760*x^6) + E^56*(1330560*x^5 - 554400*x^6 - 110880*x^7) + E^60*(443520*x^6 - 190080*x^7 - 31680*x^8) + E^64*(63360*x^7 - 27720*x^8 - 3960*x^9)) + E^15*(E^28*(1760 - 1760*x) + E^32*(31680 - 15840*x^2) + E^36*(253440*x - 63360*x^2 - 63360*x^3) + E^40*(887040*x^2 - 295680*x^3 - 147840*x^4) + E^44*(1774080*x^3 - 665280*x^4 - 221760*x^5) + E^48*(2217600*x^4 - 887040*x^5 - 221760*x^6) + E^52*(1774080*x^5 - 739200*x^6 - 147840*x^7) + E^56*(887040*x^6 - 380160*x^7 - 63360*x^8) + E^60*(253440*x^7 - 110880*x^8 - 15840*x^9) + E^64*(31680*x^8 - 14080*x^9 - 1760*x^10)) + E^10*(E^24*(528 - 528*x) + E^28*(10560 - 5280*x^2) + E^32*(95040*x - 23760*x^2 - 23760*x^3) + E^36*(380160*x^2 - 126720*x^3 - 63360*x^4) + E^40*(887040*x^3 - 332640*x^4 - 110880*x^5) + E^44*(1330560*x^4 - 532224*x^5 - 133056*x^6) + E^48*(1330560*x^5 - 554400*x^6 - 110880*x^7) + E^52*(887040*x^6 - 380160*x^7 - 63360*x^8) + E^56*(380160*x^7 - 166320*x^8 - 23760*x^9) + E^60*(95040*x^8 - 42240*x^9 - 5280*x^10) + E^64*(10560*x^9 - 4752*x^10 - 528*x^11)) + E^5*(E^20*(96 - 96*x) + E^24*(2112 - 1056*x^2) + E^28*(21120*x - 5280*x^2 - 5280*x^3) + E^32*(95040*x^2 - 31680*x^3 - 15840*x^4) + E^36*(253440*x^3 - 95040*x^4 - 31680*x^5) + E^40*(443520*x^4 - 177408*x^5 - 44352*x^6) + E^44*(532224*x^5 - 221760*x^6 - 44352*x^7) + E^48*(443520*x^6 - 190080*x^7 - 31680*x^8) + E^52*(253440*x^7 - 110880*x^8 - 15840*x^9) + E^56*(95040*x^8 - 42240*x^9 - 5280*x^10) + E^60*(21120*x^9 - 9504*x^10 - 1056*x^11) + E^64*(2112*x^10 - 960*x^11 - 96*x^12))))/E^64,x]","\frac{2 \left(e^{64} x^{17}+2 e^{60} \left(8-e^4+8 e^9\right) x^{16}+8 e^{56} \left(15-4 e^4+30 e^9-4 e^{13}+15 e^{18}\right) x^{15}+80 e^{52} \left(1+e^9\right)^2 \left(7-3 e^4+7 e^9\right) x^{14}+140 e^{48} \left(1+e^9\right)^3 \left(13-8 e^4+13 e^9\right) x^{13}+728 e^{44} \left(1+e^9\right)^4 \left(6-5 e^4+6 e^9\right) x^{12}+728 e^{40} \left(1+e^9\right)^5 \left(11-12 e^4+11 e^9\right) x^{11}+2288 e^{36} \left(1+e^9\right)^6 \left(5-7 e^4+5 e^9\right) x^{10}+1430 e^{32} \left(1+e^9\right)^7 \left(9-16 e^4+9 e^9\right) x^9+2860 e^{28} \left(1+e^9\right)^8 \left(4-9 e^4+4 e^9\right) x^8+1144 e^{24} \left(1+e^9\right)^9 \left(7-20 e^4+7 e^9\right) x^7+1456 e^{20} \left(1+e^9\right)^{10} \left(3-11 e^4+3 e^9\right) x^6+364 e^{16} \left(1+e^9\right)^{11} \left(5-24 e^4+5 e^9\right) x^5+280 \left(2-13 e^4+2 e^9\right) \left(e+e^{10}\right)^{12} x^4+40 e^8 \left(1+e^9\right)^{13} \left(3-28 e^4+3 e^9\right) x^3+16 e^4 \left(1+e^9\right)^{14} \left(1-15 e^4+e^9\right) x^2+\left(1+e^9\right)^{15} \left(1-32 e^4+e^9\right) x-4 e^{x+16} (x-2) \left(e^4 x+e^9+1\right)^{12}+6 e^{2 x+32} (x-2) \left(e^4 x+e^9+1\right)^8-4 e^{3 x+48} (x-2) \left(e^4 x+e^9+1\right)^4+e^{4 x+64} (x-2)\right)}{e^{64}}","(2 x-4) \left(e^x-\left(x+e^5+\frac{1}{e^4}\right)^4\right)^4",1,"(2*(E^(64 + 4*x)*(-2 + x) + (1 + E^9)^15*(1 - 32*E^4 + E^9)*x + 16*E^4*(1 + E^9)^14*(1 - 15*E^4 + E^9)*x^2 + 40*E^8*(1 + E^9)^13*(3 - 28*E^4 + 3*E^9)*x^3 + 280*(2 - 13*E^4 + 2*E^9)*(E + E^10)^12*x^4 + 364*E^16*(1 + E^9)^11*(5 - 24*E^4 + 5*E^9)*x^5 + 1456*E^20*(1 + E^9)^10*(3 - 11*E^4 + 3*E^9)*x^6 + 1144*E^24*(1 + E^9)^9*(7 - 20*E^4 + 7*E^9)*x^7 + 2860*E^28*(1 + E^9)^8*(4 - 9*E^4 + 4*E^9)*x^8 + 1430*E^32*(1 + E^9)^7*(9 - 16*E^4 + 9*E^9)*x^9 + 2288*E^36*(1 + E^9)^6*(5 - 7*E^4 + 5*E^9)*x^10 + 728*E^40*(1 + E^9)^5*(11 - 12*E^4 + 11*E^9)*x^11 + 728*E^44*(1 + E^9)^4*(6 - 5*E^4 + 6*E^9)*x^12 + 140*E^48*(1 + E^9)^3*(13 - 8*E^4 + 13*E^9)*x^13 + 80*E^52*(1 + E^9)^2*(7 - 3*E^4 + 7*E^9)*x^14 + 8*E^56*(15 - 4*E^4 + 30*E^9 - 4*E^13 + 15*E^18)*x^15 + 2*E^60*(8 - E^4 + 8*E^9)*x^16 + E^64*x^17 - 4*E^(48 + 3*x)*(-2 + x)*(1 + E^9 + E^4*x)^4 + 6*E^(32 + 2*x)*(-2 + x)*(1 + E^9 + E^4*x)^8 - 4*E^(16 + x)*(-2 + x)*(1 + E^9 + E^4*x)^12))/E^64","B",1
2572,1,120,22,0.1883352,"\int \frac{-10+e^{2 x^2} \left(64 x^3-6 x^4+64 x^5-8 x^6\right)}{40-5 x+e^{2 x^2} \left(-8 x^4+x^5\right)} \, dx","Integrate[(-10 + E^(2*x^2)*(64*x^3 - 6*x^4 + 64*x^5 - 8*x^6))/(40 - 5*x + E^(2*x^2)*(-8*x^4 + x^5)),x]","2 \log (x-8)-2 \log \left(-e^{2 (x-8)^2+32 (x-8)+128} (x-8)^4-32 e^{2 (x-8)^2+32 (x-8)+128} (x-8)^3-384 e^{2 (x-8)^2+32 (x-8)+128} (x-8)^2-2048 e^{2 (x-8)^2+32 (x-8)+128} (x-8)-4096 e^{2 (x-8)^2+32 (x-8)+128}+5\right)","\log \left(\frac{(x-8)^2}{\left(e^{2 x^2} x^4-5\right)^2}\right)",1,"-2*Log[5 - 4096*E^(128 + 32*(-8 + x) + 2*(-8 + x)^2) - 2048*E^(128 + 32*(-8 + x) + 2*(-8 + x)^2)*(-8 + x) - 384*E^(128 + 32*(-8 + x) + 2*(-8 + x)^2)*(-8 + x)^2 - 32*E^(128 + 32*(-8 + x) + 2*(-8 + x)^2)*(-8 + x)^3 - E^(128 + 32*(-8 + x) + 2*(-8 + x)^2)*(-8 + x)^4] + 2*Log[-8 + x]","B",1
2573,1,14,16,0.0504055,"\int \frac{e^{\frac{2 (10+2 x)}{3+x}} \left(144-32 x+16 x^2\right)}{9+6 x+x^2} \, dx","Integrate[(E^((2*(10 + 2*x))/(3 + x))*(144 - 32*x + 16*x^2))/(9 + 6*x + x^2),x]","16 e^{\frac{8}{x+3}+4} x","16 e^{\frac{8}{x+3}+4} x+25",1,"16*E^(4 + 8/(3 + x))*x","A",1
2574,1,35,31,0.3055872,"\int \frac{e^{3+2 x} \left(-2 x+16 x^2\right)+e^{3+2 x} \left(2 x-6 x^2-8 x^3\right) \log \left(x-4 x^2\right)+\left(-1+4 x+e^{3+2 x} \left(9-38 x+8 x^2\right)\right) \log ^3\left(x-4 x^2\right)}{(-1+4 x) \log ^3\left(x-4 x^2\right)} \, dx","Integrate[(E^(3 + 2*x)*(-2*x + 16*x^2) + E^(3 + 2*x)*(2*x - 6*x^2 - 8*x^3)*Log[x - 4*x^2] + (-1 + 4*x + E^(3 + 2*x)*(9 - 38*x + 8*x^2))*Log[x - 4*x^2]^3)/((-1 + 4*x)*Log[x - 4*x^2]^3),x]","-\frac{e^{2 x+3} x^2}{\log ^2\left(x-4 x^2\right)}+x+e^{2 x+3} (x-5)","-e^{2 x+3} \left(\frac{x^2}{\log ^2\left(x-4 x^2\right)}-x+5\right)+x+4",1,"E^(3 + 2*x)*(-5 + x) + x - (E^(3 + 2*x)*x^2)/Log[x - 4*x^2]^2","A",1
2575,1,18,18,0.0672803,"\int \frac{e^{-\frac{1}{-6-e+x+e^{e^2} x}} \left(1+e^{e^2}\right)}{36+e^2+e (12-2 x)-12 x+x^2+e^{2 e^2} x^2+e^{e^2} \left(-12 x-2 e x+2 x^2\right)} \, dx","Integrate[(1 + E^E^2)/(E^(-6 - E + x + E^E^2*x)^(-1)*(36 + E^2 + E*(12 - 2*x) - 12*x + x^2 + E^(2*E^2)*x^2 + E^E^2*(-12*x - 2*E*x + 2*x^2))),x]","e^{\frac{1}{-e^{e^2} x-x+e+6}}","e^{\frac{1}{-e^{e^2} x-x+e+6}}",1,"E^(6 + E - x - E^E^2*x)^(-1)","A",1
2576,1,206,29,0.4758093,"\int \frac{-16 x^2+\left(-16 x-32 x^2\right) \log (2)+\left(16 x+32 x^2\right) \log (3)+(8 x+(8+16 x) \log (2)+(-8-16 x) \log (3)) \log (5)+\left(8 x^2+\left(24 x+16 x^2\right) \log (2)+\left(-24 x-16 x^2\right) \log (3)+(-8 x+(-16-16 x) \log (2)+(16+16 x) \log (3)) \log (5)\right) \log (-x+\log (5))+(-8 x \log (2)+8 x \log (3)+(8 \log (2)-8 \log (3)) \log (5)) \log ^2(-x+\log (5))}{x^4 \log (2)-x^4 \log (3)+\left(-x^3 \log (2)+x^3 \log (3)\right) \log (5)} \, dx","Integrate[(-16*x^2 + (-16*x - 32*x^2)*Log[2] + (16*x + 32*x^2)*Log[3] + (8*x + (8 + 16*x)*Log[2] + (-8 - 16*x)*Log[3])*Log[5] + (8*x^2 + (24*x + 16*x^2)*Log[2] + (-24*x - 16*x^2)*Log[3] + (-8*x + (-16 - 16*x)*Log[2] + (16 + 16*x)*Log[3])*Log[5])*Log[-x + Log[5]] + (-8*x*Log[2] + 8*x*Log[3] + (8*Log[2] - 8*Log[3])*Log[5])*Log[-x + Log[5]]^2)/(x^4*Log[2] - x^4*Log[3] + (-(x^3*Log[2]) + x^3*Log[3])*Log[5]),x]","\frac{4 \left(\frac{\log \left(\frac{3}{2}\right) \log ^2(\log (5)-x)}{x^2}+\left(-\frac{\log \left(\frac{9}{4}\right)}{x^2}+\frac{\frac{\log (25)}{\log (5)}-\log \left(\frac{81}{16}\right)}{x}+\frac{\log ^2\left(\frac{9}{4}\right)+4 \log \left(\frac{3}{2}\right) \log \left(\frac{10}{3}\right)-4 \log \left(\frac{3}{2}\right) \log \left(\frac{9}{4}\right) \log (5)}{\log \left(\frac{9}{4}\right) \log ^2(5)}\right) \log (\log (5)-x)+\frac{\log \left(\frac{3}{2}\right)}{x^2}+\frac{\left(\log \left(\frac{9}{4}\right)-1\right) \log (25) \log (x-\log (5))}{\log ^2(5)}-\frac{2 \log \left(\frac{15}{2}\right)}{x \log (5)}+\frac{\log \left(\frac{9}{4}\right)}{x \log (5)}+\frac{2 \log \left(\frac{9}{4}\right)}{x}+\frac{2 \log ^2\left(\frac{10}{3}\right)}{\log \left(\frac{9}{4}\right) \log ^2(5)}-\frac{\log \left(\frac{3}{2}\right)}{\log ^2(5)}+\log \left(\frac{81}{16}\right)-\frac{4 \log \left(\frac{10}{3}\right)}{\log (5)}\right)}{\log \left(\frac{3}{2}\right)}","\left(\frac{2 \left(\frac{x}{\log (3)-\log (2)}+\log (\log (5)-x)-1\right)}{x}-4\right)^2",1,"(4*(Log[3/2]/x^2 + (2*Log[9/4])/x - Log[3/2]/Log[5]^2 + (2*Log[10/3]^2)/(Log[9/4]*Log[5]^2) + Log[9/4]/(x*Log[5]) - (4*Log[10/3])/Log[5] + Log[81/16] - (2*Log[15/2])/(x*Log[5]) + ((-1 + Log[9/4])*Log[25]*Log[x - Log[5]])/Log[5]^2 + (-(Log[9/4]/x^2) + (Log[9/4]^2 + 4*Log[3/2]*Log[10/3] - 4*Log[3/2]*Log[9/4]*Log[5])/(Log[9/4]*Log[5]^2) + (-Log[81/16] + Log[25]/Log[5])/x)*Log[-x + Log[5]] + (Log[3/2]*Log[-x + Log[5]]^2)/x^2))/Log[3/2]","B",0
2577,1,24,25,0.0641864,"\int \frac{3-3 x+3 e^x x-6 x^2-9 x^3+\left(9-3 e^x+3 x+3 x^2+3 x^3-3 \log (x)\right) \log \left(3-e^x+x+x^2+x^3-\log (x)\right)}{-3 x^2+e^x x^2-x^3-x^4-x^5+x^2 \log (x)} \, dx","Integrate[(3 - 3*x + 3*E^x*x - 6*x^2 - 9*x^3 + (9 - 3*E^x + 3*x + 3*x^2 + 3*x^3 - 3*Log[x])*Log[3 - E^x + x + x^2 + x^3 - Log[x]])/(-3*x^2 + E^x*x^2 - x^3 - x^4 - x^5 + x^2*Log[x]),x]","\frac{3 \log \left(x^3+x^2+x-e^x-\log (x)+3\right)}{x}","\frac{3 \log \left((x+1) x^2+x-e^x-\log (x)+3\right)}{x}",1,"(3*Log[3 - E^x + x + x^2 + x^3 - Log[x]])/x","A",1
2578,1,40,23,0.0201838,"\int \frac{-50 e^4-2 x^2+8 x^3+e^2 \left(-20 x+60 x^2\right)}{75 e^4+30 e^2 x+3 x^2} \, dx","Integrate[(-50*E^4 - 2*x^2 + 8*x^3 + E^2*(-20*x + 60*x^2))/(75*E^4 + 30*E^2*x + 3*x^2),x]","-\frac{2}{3} \left(-2 x^2+x+5 e^2 (2 x+1)+\frac{250 e^6}{x+5 e^2}+100 e^4\right)","\frac{4 x^3}{3 \left(x+5 e^2\right)}-\frac{2 x}{3}+3",1,"(-2*(100*E^4 + x - 2*x^2 + (250*E^6)/(5*E^2 + x) + 5*E^2*(1 + 2*x)))/3","A",1
2579,1,19,29,0.2404943,"\int \frac{2 x^2-2 x^3+e^{4 x} (-1+4 x)+\left(e^{4 x}+2 x^2-x^3\right) \log \left(\frac{e^{4 x}+2 x^2-x^3}{x^2}\right)}{e^{4 x}+2 x^2-x^3} \, dx","Integrate[(2*x^2 - 2*x^3 + E^(4*x)*(-1 + 4*x) + (E^(4*x) + 2*x^2 - x^3)*Log[(E^(4*x) + 2*x^2 - x^3)/x^2])/(E^(4*x) + 2*x^2 - x^3),x]","x \log \left(\frac{e^{4 x}}{x^2}-x+2\right)+x","x \log \left(\frac{e^{4 x}}{x^2}-x+2\right)+x+\log (-2+i \pi +\log (3))",1,"x + x*Log[2 + E^(4*x)/x^2 - x]","A",1
2580,0,0,33,1.0568944,"\int \frac{\left(\left(16 x+e^x \left(-4 x-4 x^2\right)\right) \log (x)+\left(-8 x^3+2 e^x x^3+\left(16-4 e^x\right) \log (x)+\left(-16+4 e^x\right) \log ^2(x)\right) \log \left(-4 x+e^x x\right)+\left(16 x^2+e^x \left(-4 x^2-4 x^3\right)+\left(16 x-4 e^x x+\left(-16 x+4 e^x x\right) \log (x)\right) \log \left(-4 x+e^x x\right)\right) \log \left(\frac{1}{3} \log \left(-4 x+e^x x\right)\right)\right) \log \left(\frac{-x^3+\log ^2(x)+2 x \log (x) \log \left(\frac{1}{3} \log \left(-4 x+e^x x\right)\right)+x^2 \log ^2\left(\frac{1}{3} \log \left(-4 x+e^x x\right)\right)}{x^2}\right)}{\left(4 x^4-e^x x^4+\left(-4 x+e^x x\right) \log ^2(x)\right) \log \left(-4 x+e^x x\right)+\left(-8 x^2+2 e^x x^2\right) \log (x) \log \left(-4 x+e^x x\right) \log \left(\frac{1}{3} \log \left(-4 x+e^x x\right)\right)+\left(-4 x^3+e^x x^3\right) \log \left(-4 x+e^x x\right) \log ^2\left(\frac{1}{3} \log \left(-4 x+e^x x\right)\right)} \, dx","Integrate[(((16*x + E^x*(-4*x - 4*x^2))*Log[x] + (-8*x^3 + 2*E^x*x^3 + (16 - 4*E^x)*Log[x] + (-16 + 4*E^x)*Log[x]^2)*Log[-4*x + E^x*x] + (16*x^2 + E^x*(-4*x^2 - 4*x^3) + (16*x - 4*E^x*x + (-16*x + 4*E^x*x)*Log[x])*Log[-4*x + E^x*x])*Log[Log[-4*x + E^x*x]/3])*Log[(-x^3 + Log[x]^2 + 2*x*Log[x]*Log[Log[-4*x + E^x*x]/3] + x^2*Log[Log[-4*x + E^x*x]/3]^2)/x^2])/((4*x^4 - E^x*x^4 + (-4*x + E^x*x)*Log[x]^2)*Log[-4*x + E^x*x] + (-8*x^2 + 2*E^x*x^2)*Log[x]*Log[-4*x + E^x*x]*Log[Log[-4*x + E^x*x]/3] + (-4*x^3 + E^x*x^3)*Log[-4*x + E^x*x]*Log[Log[-4*x + E^x*x]/3]^2),x]","\int \frac{\left(\left(16 x+e^x \left(-4 x-4 x^2\right)\right) \log (x)+\left(-8 x^3+2 e^x x^3+\left(16-4 e^x\right) \log (x)+\left(-16+4 e^x\right) \log ^2(x)\right) \log \left(-4 x+e^x x\right)+\left(16 x^2+e^x \left(-4 x^2-4 x^3\right)+\left(16 x-4 e^x x+\left(-16 x+4 e^x x\right) \log (x)\right) \log \left(-4 x+e^x x\right)\right) \log \left(\frac{1}{3} \log \left(-4 x+e^x x\right)\right)\right) \log \left(\frac{-x^3+\log ^2(x)+2 x \log (x) \log \left(\frac{1}{3} \log \left(-4 x+e^x x\right)\right)+x^2 \log ^2\left(\frac{1}{3} \log \left(-4 x+e^x x\right)\right)}{x^2}\right)}{\left(4 x^4-e^x x^4+\left(-4 x+e^x x\right) \log ^2(x)\right) \log \left(-4 x+e^x x\right)+\left(-8 x^2+2 e^x x^2\right) \log (x) \log \left(-4 x+e^x x\right) \log \left(\frac{1}{3} \log \left(-4 x+e^x x\right)\right)+\left(-4 x^3+e^x x^3\right) \log \left(-4 x+e^x x\right) \log ^2\left(\frac{1}{3} \log \left(-4 x+e^x x\right)\right)} \, dx","5-\log ^2\left(\left(\frac{\log (x)}{x}+\log \left(\frac{1}{3} \log \left(\left(e^x-4\right) x\right)\right)\right)^2-x\right)",1,"Integrate[(((16*x + E^x*(-4*x - 4*x^2))*Log[x] + (-8*x^3 + 2*E^x*x^3 + (16 - 4*E^x)*Log[x] + (-16 + 4*E^x)*Log[x]^2)*Log[-4*x + E^x*x] + (16*x^2 + E^x*(-4*x^2 - 4*x^3) + (16*x - 4*E^x*x + (-16*x + 4*E^x*x)*Log[x])*Log[-4*x + E^x*x])*Log[Log[-4*x + E^x*x]/3])*Log[(-x^3 + Log[x]^2 + 2*x*Log[x]*Log[Log[-4*x + E^x*x]/3] + x^2*Log[Log[-4*x + E^x*x]/3]^2)/x^2])/((4*x^4 - E^x*x^4 + (-4*x + E^x*x)*Log[x]^2)*Log[-4*x + E^x*x] + (-8*x^2 + 2*E^x*x^2)*Log[x]*Log[-4*x + E^x*x]*Log[Log[-4*x + E^x*x]/3] + (-4*x^3 + E^x*x^3)*Log[-4*x + E^x*x]*Log[Log[-4*x + E^x*x]/3]^2), x]","F",-1
2581,1,25,18,0.0092153,"\int \frac{10-2 x+16 x \log (2)+16 x \log (2) \log (x)}{x} \, dx","Integrate[(10 - 2*x + 16*x*Log[2] + 16*x*Log[2]*Log[x])/x,x]","-2 x+16 x \log (2) \log (x)+2 x \log (256)-16 x \log (2)+10 \log (x)","2 ((8 x \log (2)+5) \log (x)-x)-4",1,"-2*x - 16*x*Log[2] + 2*x*Log[256] + 10*Log[x] + 16*x*Log[2]*Log[x]","A",1
2582,1,23,28,0.1210479,"\int \frac{e^{\frac{4-x^2}{x}} \left(24+24 x+6 x^3+e \left(12+3 x^2\right)\right)}{5 x^2} \, dx","Integrate[(E^((4 - x^2)/x)*(24 + 24*x + 6*x^3 + E*(12 + 3*x^2)))/(5*x^2),x]","\frac{3}{5} e^{\frac{4}{x}-x} (-2 x-e-2)","\frac{3}{5} e^{\frac{4}{x}-x} (-2 x-e-2)-\log (2)",1,"(3*E^(4/x - x)*(-2 - E - 2*x))/5","A",1
2583,1,21,26,0.0026232,"\int \frac{-72+9 \log (5)+(24-3 \log (5)) \log (\log (9))}{-2 x^2+x^2 \log (\log (9))} \, dx","Integrate[(-72 + 9*Log[5] + (24 - 3*Log[5])*Log[Log[9]])/(-2*x^2 + x^2*Log[Log[9]]),x]","\frac{3 (\log (5)-8) (\log (\log (9))-3)}{x (\log (\log (9))-2)}","\frac{(8-\log (5)) \left(2 x-3-\frac{3}{2-\log (\log (9))}\right)}{x}",1,"(3*(-8 + Log[5])*(-3 + Log[Log[9]]))/(x*(-2 + Log[Log[9]]))","A",1
2584,1,19,26,0.0256447,"\int \left(1+e^{\frac{2 \left(e^x+x\right)}{x}} \left(e^x (512-512 x)-512 x\right)\right) \, dx","Integrate[1 + E^((2*(E^x + x))/x)*(E^x*(512 - 512*x) - 512*x),x]","x-256 e^{\frac{2 e^x}{x}+2} x^2","-256 e^{\frac{2 \left(x+e^x\right)}{x}} x^2-x+2 (x-4)",1,"x - 256*E^(2 + (2*E^x)/x)*x^2","A",1
2585,1,9,25,0.0000757,"\int (15+60 x) \, dx","Integrate[15 + 60*x,x]","30 x^2+15 x","5 \left(3-3 \left((-2 x-1) x-1-e^{\frac{9}{\log (5)}}\right)\right)",1,"15*x + 30*x^2","A",1
2586,1,35,38,2.2691969,"\int \frac{e^{-x} \left(60+60 x-30 x^2-10 x^3+e^{2 x} \left(-45 x+15 x^2+55 x^3-15 x^4-15 x^5+5 x^6\right)+e^x \left(45 x+30 x^2-25 x^3-10 x^4+5 x^5\right) \log ^2(2)\right)}{9 x^3+6 x^4-5 x^5-2 x^6+x^7} \, dx","Integrate[(60 + 60*x - 30*x^2 - 10*x^3 + E^(2*x)*(-45*x + 15*x^2 + 55*x^3 - 15*x^4 - 15*x^5 + 5*x^6) + E^x*(45*x + 30*x^2 - 25*x^3 - 10*x^4 + 5*x^5)*Log[2]^2)/(E^x*(9*x^3 + 6*x^4 - 5*x^5 - 2*x^6 + x^7)),x]","\frac{5 \left(\frac{2 e^{-x}}{x^2-x-3}+e^x x-x \log ^2(2)\right)}{x^2}","\frac{5 \left(-\frac{2 e^{-x}}{\left(-x^2+x+3\right) x}-x+e^x-\log ^2(2)\right)}{x}",1,"(5*(E^x*x + 2/(E^x*(-3 - x + x^2)) - x*Log[2]^2))/x^2","A",1
2587,1,21,22,0.1888072,"\int \frac{-1250+e^{e^{e^x}+x} \left(-50 x^3-50 e^{e^x+x} x^3\right)+e^{2 \left(e^{e^x}+x\right)} \left(2 x^4+2 x^5+2 e^{e^x+x} x^5\right)}{x^3} \, dx","Integrate[(-1250 + E^(E^E^x + x)*(-50*x^3 - 50*E^(E^x + x)*x^3) + E^(2*(E^E^x + x))*(2*x^4 + 2*x^5 + 2*E^(E^x + x)*x^5))/x^3,x]","\frac{\left(e^{x+e^{e^x}} x^2-25\right)^2}{x^2}","\frac{\left(25-e^{x+e^{e^x}} x^2\right)^2}{x^2}",1,"(-25 + E^(E^E^x + x)*x^2)^2/x^2","A",1
2588,1,24,24,0.2181651,"\int \frac{(-7-x-e x) \log \left(49+14 x+x^2+e^2 x^2+e \left(14 x+2 x^2\right)\right)+\left(4 x^4+4 e x^4\right) \log \left(4 \log (5) \log \left(49+14 x+x^2+e^2 x^2+e \left(14 x+2 x^2\right)\right)\right)+\left(28 x^3+4 x^4+4 e x^4\right) \log \left(49+14 x+x^2+e^2 x^2+e \left(14 x+2 x^2\right)\right) \log ^2\left(4 \log (5) \log \left(49+14 x+x^2+e^2 x^2+e \left(14 x+2 x^2\right)\right)\right)}{(7+x+e x) \log \left(49+14 x+x^2+e^2 x^2+e \left(14 x+2 x^2\right)\right)} \, dx","Integrate[((-7 - x - E*x)*Log[49 + 14*x + x^2 + E^2*x^2 + E*(14*x + 2*x^2)] + (4*x^4 + 4*E*x^4)*Log[4*Log[5]*Log[49 + 14*x + x^2 + E^2*x^2 + E*(14*x + 2*x^2)]] + (28*x^3 + 4*x^4 + 4*E*x^4)*Log[49 + 14*x + x^2 + E^2*x^2 + E*(14*x + 2*x^2)]*Log[4*Log[5]*Log[49 + 14*x + x^2 + E^2*x^2 + E*(14*x + 2*x^2)]]^2)/((7 + x + E*x)*Log[49 + 14*x + x^2 + E^2*x^2 + E*(14*x + 2*x^2)]),x]","x^4 \log ^2\left(4 \log (5) \log \left((e x+x+7)^2\right)\right)-x","x^4 \log ^2\left(4 \log (5) \log \left((e x+x+7)^2\right)\right)-x",1,"-x + x^4*Log[4*Log[5]*Log[(7 + x + E*x)^2]]^2","A",1
2589,1,78,22,0.1667079,"\int \frac{-675 x^2+990 x^3-450 x^4+828 x^5-63 x^6+126 x^7+\left(270 x^2-468 x^3+90 x^4-180 x^5\right) \log \left(1-4 x+4 x^2\right)+\left(-27 x^2+54 x^3\right) \log ^2\left(1-4 x+4 x^2\right)}{-1+2 x} \, dx","Integrate[(-675*x^2 + 990*x^3 - 450*x^4 + 828*x^5 - 63*x^6 + 126*x^7 + (270*x^2 - 468*x^3 + 90*x^4 - 180*x^5)*Log[1 - 4*x + 4*x^2] + (-27*x^2 + 54*x^3)*Log[1 - 4*x + 4*x^2]^2)/(-1 + 2*x),x]","9 \left(x^7+10 x^5-2 x^5 \log \left((1-2 x)^2\right)+25 x^3+x^3 \log ^2\left((1-2 x)^2\right)-10 x^3 \log \left((1-2 x)^2\right)+\frac{43}{24} \log (1-2 x)-\frac{43}{48} \log \left((1-2 x)^2\right)\right)","9 x^3 \left(x^2-\log \left((1-2 x)^2\right)+5\right)^2",1,"9*(25*x^3 + 10*x^5 + x^7 + (43*Log[1 - 2*x])/24 - (43*Log[(1 - 2*x)^2])/48 - 10*x^3*Log[(1 - 2*x)^2] - 2*x^5*Log[(1 - 2*x)^2] + x^3*Log[(1 - 2*x)^2]^2)","B",1
2590,1,36,35,0.2244628,"\int \frac{\left(e^{4 x} \left(32 x-16 x^2+2 x^3\right) \log \left(\frac{x}{7}\right)+e^{4 x} \left(-128 x+64 x^2-8 x^3\right) \log ^2\left(\frac{x}{7}\right)+e^{4 x} \left(192 x-96 x^2+12 x^3\right) \log ^3\left(\frac{x}{7}\right)+e^{4 x} \left(-128 x+64 x^2-8 x^3\right) \log ^4\left(\frac{x}{7}\right)+e^{4 x} \left(32 x-16 x^2+2 x^3\right) \log ^5\left(\frac{x}{7}\right)\right) \log (x)+\left(e^{4 x} \left(-64 x+32 x^2-4 x^3\right)+e^{4 x} \left(224 x-56 x^2-16 x^3+4 x^4\right) \log \left(\frac{x}{7}\right)+e^{4 x} \left(-320 x-64 x^2+100 x^3-16 x^4\right) \log ^2\left(\frac{x}{7}\right)+e^{4 x} \left(256 x+208 x^2-164 x^3+24 x^4\right) \log ^3\left(\frac{x}{7}\right)+e^{4 x} \left(-128 x-160 x^2+112 x^3-16 x^4\right) \log ^4\left(\frac{x}{7}\right)+e^{4 x} \left(32 x+40 x^2-28 x^3+4 x^4\right) \log ^5\left(\frac{x}{7}\right)\right) \log ^2(x)}{\log ^5\left(\frac{x}{7}\right)} \, dx","Integrate[((E^(4*x)*(32*x - 16*x^2 + 2*x^3)*Log[x/7] + E^(4*x)*(-128*x + 64*x^2 - 8*x^3)*Log[x/7]^2 + E^(4*x)*(192*x - 96*x^2 + 12*x^3)*Log[x/7]^3 + E^(4*x)*(-128*x + 64*x^2 - 8*x^3)*Log[x/7]^4 + E^(4*x)*(32*x - 16*x^2 + 2*x^3)*Log[x/7]^5)*Log[x] + (E^(4*x)*(-64*x + 32*x^2 - 4*x^3) + E^(4*x)*(224*x - 56*x^2 - 16*x^3 + 4*x^4)*Log[x/7] + E^(4*x)*(-320*x - 64*x^2 + 100*x^3 - 16*x^4)*Log[x/7]^2 + E^(4*x)*(256*x + 208*x^2 - 164*x^3 + 24*x^4)*Log[x/7]^3 + E^(4*x)*(-128*x - 160*x^2 + 112*x^3 - 16*x^4)*Log[x/7]^4 + E^(4*x)*(32*x + 40*x^2 - 28*x^3 + 4*x^4)*Log[x/7]^5)*Log[x]^2)/Log[x/7]^5,x]","\frac{e^{4 x} (x-4)^2 x^2 \left(\log \left(\frac{x}{7}\right)-1\right)^4 \log ^2(x)}{\log ^4\left(\frac{x}{7}\right)}","e^{4 x} \left(1-\frac{4}{x}\right)^2 \left(\frac{x}{\log \left(\frac{x}{7}\right)}-x\right)^4 \log ^2(x)",1,"(E^(4*x)*(-4 + x)^2*x^2*(-1 + Log[x/7])^4*Log[x]^2)/Log[x/7]^4","A",1
2591,1,30,30,1.4325259,"\int \frac{e^{-\frac{e^{\frac{1}{4} \left(17+e^4-4 x\right)}}{-5+3 x}} \left(-25+30 x-9 x^2+e^{\frac{1}{4} \left(17+e^4-4 x\right)} \left(-2 x+3 x^2\right)\right)}{25 x^2-30 x^3+9 x^4} \, dx","Integrate[(-25 + 30*x - 9*x^2 + E^((17 + E^4 - 4*x)/4)*(-2*x + 3*x^2))/(E^(E^((17 + E^4 - 4*x)/4)/(-5 + 3*x))*(25*x^2 - 30*x^3 + 9*x^4)),x]","\frac{e^{-\frac{e^{\frac{1}{4} \left(17+e^4\right)-x}}{3 x-5}}}{x}","\frac{e^{\frac{e^{-x+\frac{1}{4} \left(5+e^4\right)+3}}{5-3 x}}}{x}",1,"1/(E^(E^((17 + E^4)/4 - x)/(-5 + 3*x))*x)","A",1
2592,1,22,24,0.0972689,"\int \frac{120+360 x^3+90 x^4+e^{x^{x/2}} \left(30+120 x^3+x^{x/2} \left(15-15 x-15 x^4+\left(15-15 x-15 x^4\right) \log (x)\right)\right)}{18+2 e^{2 x^{x/2}}+12 x+2 x^2+e^{x^{x/2}} (12+4 x)} \, dx","Integrate[(120 + 360*x^3 + 90*x^4 + E^x^(x/2)*(30 + 120*x^3 + x^(x/2)*(15 - 15*x - 15*x^4 + (15 - 15*x - 15*x^4)*Log[x])))/(18 + 2*E^(2*x^(x/2)) + 12*x + 2*x^2 + E^x^(x/2)*(12 + 4*x)),x]","\frac{15 \left(x^4+x-1\right)}{e^{x^{x/2}}+x+3}","\frac{15 \left(x^4+x-1\right)}{e^{x^{x/2}}+x+3}+5",1,"(15*(-1 + x + x^4))/(3 + E^x^(x/2) + x)","A",1
2593,1,28,23,0.0513779,"\int \frac{x+2 x^2+x^3+\left(1+2 x+2 x^2+(1+2 x) \log (3)\right) \log (x)}{\left(x^2+2 x^3+x^4\right) \log (x)} \, dx","Integrate[(x + 2*x^2 + x^3 + (1 + 2*x + 2*x^2 + (1 + 2*x)*Log[3])*Log[x])/((x^2 + 2*x^3 + x^4)*Log[x]),x]","\log (\log (x))+\frac{-1-\log (3)+\log (9)}{x+1}+\frac{-1-\log (3)}{x}","\frac{2 x+1+\log (3)}{-x^2-x}+\log (\log (x))",1,"(-1 - Log[3])/x + (-1 - Log[3] + Log[9])/(1 + x) + Log[Log[x]]","A",1
2594,1,14,28,0.089122,"\int \frac{16-8 x+x^2+e^{3 x} \left(-13 x+3 x^2\right)}{16 x-8 x^2+x^3} \, dx","Integrate[(16 - 8*x + x^2 + E^(3*x)*(-13*x + 3*x^2))/(16*x - 8*x^2 + x^3),x]","\frac{e^{3 x}}{x-4}+\log (x)","\frac{e^{3 x}}{x-4}+\log \left(\frac{x}{e^4}-x\right)-e^2+4",1,"E^(3*x)/(-4 + x) + Log[x]","A",1
2595,1,34,30,0.0589476,"\int \frac{2+18 x+32 x^2+16 x^3+2 x^4+(2+2 x) \log (4 x)+\left(2-2 x-8 x^2-8 x^3-2 x^4-2 x \log (4 x)\right) \log \left(-1+x+4 x^2+4 x^3+x^4+x \log (4 x)\right)}{1-x-4 x^2-4 x^3-x^4-x \log (4 x)+\left(-1+x+4 x^2+4 x^3+x^4+x \log (4 x)\right) \log \left(-1+x+4 x^2+4 x^3+x^4+x \log (4 x)\right)} \, dx","Integrate[(2 + 18*x + 32*x^2 + 16*x^3 + 2*x^4 + (2 + 2*x)*Log[4*x] + (2 - 2*x - 8*x^2 - 8*x^3 - 2*x^4 - 2*x*Log[4*x])*Log[-1 + x + 4*x^2 + 4*x^3 + x^4 + x*Log[4*x]])/(1 - x - 4*x^2 - 4*x^3 - x^4 - x*Log[4*x] + (-1 + x + 4*x^2 + 4*x^3 + x^4 + x*Log[4*x])*Log[-1 + x + 4*x^2 + 4*x^3 + x^4 + x*Log[4*x]]),x]","2 \left(\log \left(1-\log \left(x^4+4 x^3+4 x^2+x+x \log (4 x)-1\right)\right)-x\right)","\log \left(e^{-2 x} \left(\log \left(x^2 (x+2)^2+x+x \log (4 x)-1\right)-1\right)^2\right)",1,"2*(-x + Log[1 - Log[-1 + x + 4*x^2 + 4*x^3 + x^4 + x*Log[4*x]]])","A",1
2596,1,10,10,0.0005849,"\int -\frac{1}{4 e^{20} x^2} \, dx","Integrate[-1/4*1/(E^20*x^2),x]","\frac{1}{4 e^{20} x}","\frac{1}{4 e^{20} x}",1,"1/(4*E^20*x)","A",1
2597,1,20,18,0.0809112,"\int e^{-4 x} \left(-32 x^3-4 e^{4 x} x^3+52 x^4-16 x^5\right) \, dx","Integrate[(-32*x^3 - 4*E^(4*x)*x^3 + 52*x^4 - 16*x^5)/E^(4*x),x]","-e^{-4 x} \left(-4 x+e^{4 x}+8\right) x^4","-x^3 \left(x-4 e^{-4 x} (x-2) x\right)",1,"-(((8 + E^(4*x) - 4*x)*x^4)/E^(4*x))","A",1
2598,1,16,18,0.0061475,"\int \frac{-11+6 x+28 x^3}{-11 x+2 x^2+4 x^4} \, dx","Integrate[(-11 + 6*x + 28*x^3)/(-11*x + 2*x^2 + 4*x^4),x]","2 \log \left(-4 x^3-2 x+11\right)+\log (x)","\log \left(\frac{3}{25} x \left(4 x^3+2 x-11\right)^2\right)",1,"Log[x] + 2*Log[11 - 2*x - 4*x^3]","A",1
2599,1,42,31,0.0906489,"\int \frac{e^{-3+x-x^2} \left(-x+2 x^2+e^{3-x+x^2} x^2-4 x^3+e^3 \left(4-4 x+8 x^2\right)+\left(-x^2+2 x^3\right) \log (x)\right)}{x^2} \, dx","Integrate[(E^(-3 + x - x^2)*(-x + 2*x^2 + E^(3 - x + x^2)*x^2 - 4*x^3 + E^3*(4 - 4*x + 8*x^2) + (-x^2 + 2*x^3)*Log[x]))/x^2,x]","2 e^{-x^2+x-3}-\frac{4 e^{x-x^2}}{x}-e^{-x^2+x-3} \log (x)+x","-\frac{e^{x-x^2} \left(4-\frac{x (2-\log (x))}{e^3}\right)}{x}+x+2",1,"2*E^(-3 + x - x^2) - (4*E^(x - x^2))/x + x - E^(-3 + x - x^2)*Log[x]","A",1
2600,1,34,26,0.9769027,"\int \frac{-8+x+4 x^2-2 x^3}{27 e^{\frac{-8+2 x-4 x^2+x^3}{x}} x+3 x^2} \, dx","Integrate[(-8 + x + 4*x^2 - 2*x^3)/(27*E^((-8 + 2*x - 4*x^2 + x^3)/x)*x + 3*x^2),x]","\frac{1}{3} \left(\log \left(9 e^{x^2+2}+e^{4 x+\frac{8}{x}} x\right)-x^2\right)","\frac{1}{3} \log \left(\frac{1}{3} e^{-\left((x-4) \left(x+\frac{2}{x}\right)\right)} x+3\right)",1,"(-x^2 + Log[9*E^(2 + x^2) + E^(8/x + 4*x)*x])/3","A",1
2601,1,27,32,0.1754064,"\int \frac{20 e^{2 x}+40 e^x x+20 x^2+\exp \left(\frac{9 x+8 x^3+e^x \left(4+8 x^2\right)}{10 e^x+10 x}\right) \left(32 e^{2 x} x+32 x^3+e^x \left(10-10 x+64 x^2\right)\right)}{5 e^{2 x}+10 e^x x+5 x^2} \, dx","Integrate[(20*E^(2*x) + 40*E^x*x + 20*x^2 + E^((9*x + 8*x^3 + E^x*(4 + 8*x^2))/(10*E^x + 10*x))*(32*E^(2*x)*x + 32*x^3 + E^x*(10 - 10*x + 64*x^2)))/(5*E^(2*x) + 10*E^x*x + 5*x^2),x]","4 \left(e^{\frac{1}{10} \left(8 x^2+\frac{5 x}{x+e^x}+4\right)}+x\right)","4 \left(e^{\frac{1}{5} \left(4 x^2+\frac{5 x}{2 \left(x+e^x\right)}+2\right)}+x+3\right)+2",1,"4*(E^((4 + 8*x^2 + (5*x)/(E^x + x))/10) + x)","A",1
2602,1,22,22,0.3297018,"\int \frac{e^{7 x+x^2+8 e^{7 x+x^2} x^3} \left(-96 x^2-224 x^3-64 x^4\right)}{e^{10}+e^{16 e^{7 x+x^2} x^3}+2 e^{5+8 e^{7 x+x^2} x^3}} \, dx","Integrate[(E^(7*x + x^2 + 8*E^(7*x + x^2)*x^3)*(-96*x^2 - 224*x^3 - 64*x^4))/(E^10 + E^(16*E^(7*x + x^2)*x^3) + 2*E^(5 + 8*E^(7*x + x^2)*x^3)),x]","\frac{4}{e^{8 e^{x (x+7)} x^3}+e^5}","\frac{4}{e^{8 e^{x (x+7)} x^3}+e^5}",1,"4/(E^5 + E^(8*E^(x*(7 + x))*x^3))","A",1
2603,1,29,29,0.1339567,"\int \frac{-10 x-3 x^2+x^3+e^4 \left(5 x-x^2\right)+\left(-10+e^4 (5-x)-3 x+x^2\right) \log (3)+\left(15 x+14 x^2-2 x^3+e^4 \left(-10 x+x^2\right)+\left(20+e^4 (-10+x)+13 x-2 x^2\right) \log (3)\right) \log (x)+\left(5 x-x^2+(5-x) \log (3)+\left(-10 x+x^2+(-10+x) \log (3)\right) \log (x)\right) \log (x+\log (3))}{16 x^4+4 e^8 x^4+16 x^5+4 x^6+e^4 \left(-16 x^4-8 x^5\right)+\left(16 x^3+4 e^8 x^3+16 x^4+4 x^5+e^4 \left(-16 x^3-8 x^4\right)\right) \log (3)+\left(-16 x^4+8 e^4 x^4-8 x^5+\left(-16 x^3+8 e^4 x^3-8 x^4\right) \log (3)\right) \log (x+\log (3))+\left(4 x^4+4 x^3 \log (3)\right) \log ^2(x+\log (3))} \, dx","Integrate[(-10*x - 3*x^2 + x^3 + E^4*(5*x - x^2) + (-10 + E^4*(5 - x) - 3*x + x^2)*Log[3] + (15*x + 14*x^2 - 2*x^3 + E^4*(-10*x + x^2) + (20 + E^4*(-10 + x) + 13*x - 2*x^2)*Log[3])*Log[x] + (5*x - x^2 + (5 - x)*Log[3] + (-10*x + x^2 + (-10 + x)*Log[3])*Log[x])*Log[x + Log[3]])/(16*x^4 + 4*E^8*x^4 + 16*x^5 + 4*x^6 + E^4*(-16*x^4 - 8*x^5) + (16*x^3 + 4*E^8*x^3 + 16*x^4 + 4*x^5 + E^4*(-16*x^3 - 8*x^4))*Log[3] + (-16*x^4 + 8*E^4*x^4 - 8*x^5 + (-16*x^3 + 8*E^4*x^3 - 8*x^4)*Log[3])*Log[x + Log[3]] + (4*x^4 + 4*x^3*Log[3])*Log[x + Log[3]]^2),x]","\frac{(x-5) \log (x)}{4 x^2 \left(x-\log (x+\log (3))-e^4+2\right)}","\frac{(x-5) \log (x)}{4 x^2 \left(x-\log (x+\log (3))-e^4+2\right)}",1,"((-5 + x)*Log[x])/(4*x^2*(2 - E^4 + x - Log[x + Log[3]]))","A",1
2604,1,17,16,0.0052494,"\int \frac{-2-4 x+7 x^2-2 x^3}{-2 x+x^2} \, dx","Integrate[(-2 - 4*x + 7*x^2 - 2*x^3)/(-2*x + x^2),x]","-x^2+3 x+\log (2-x)+\log (x)","-x^2+3 x+\log (x-2)+\log (x)+2",1,"3*x - x^2 + Log[2 - x] + Log[x]","A",1
2605,1,20,25,0.0021462,"\int \frac{36-9 x+288 x^2-108 x^3}{4 x} \, dx","Integrate[(36 - 9*x + 288*x^2 - 108*x^3)/(4*x),x]","-9 x^3+36 x^2-\frac{9 x}{4}+9 \log (x)","9 \left(\log \left(e^{e^{e^5}} x\right)-x \left((x-4) x+\frac{1}{4}\right)\right)",1,"(-9*x)/4 + 36*x^2 - 9*x^3 + 9*Log[x]","A",1
2606,1,71,35,0.1557876,"\int \frac{-2 x^3+e^{-3+x} \left(4-4 x+x^2+x^3\right)+e^{2 x} \left(-4 x^2+e^{-3+x} (-2+6 x)\right)+e^{e^{-1+x}+2 x} \left(-10 x^2+e^{-3+x} (-5+15 x)+e^{-1+x} \left(5 e^{-3+x} x-5 x^2\right)\right)}{x^2} \, dx","Integrate[(-2*x^3 + E^(-3 + x)*(4 - 4*x + x^2 + x^3) + E^(2*x)*(-4*x^2 + E^(-3 + x)*(-2 + 6*x)) + E^(E^(-1 + x) + 2*x)*(-10*x^2 + E^(-3 + x)*(-5 + 15*x) + E^(-1 + x)*(5*E^(-3 + x)*x - 5*x^2)))/x^2,x]","-x^2-2 e^{2 x}+e^{e^{x-1}} \left(\frac{5 e^{3 x-3}}{x}-5 e^{2 x}\right)+e^x \left(\frac{x}{e^3}-\frac{4}{e^3 x}\right)+\frac{2 e^{3 x-3}}{x}","\left(e^{x-3}-x\right) \left(\frac{e^{2 x} \left(5 e^{e^{x-1}}+2\right)-4}{x}+x\right)",1,"-2*E^(2*x) + E^E^(-1 + x)*(-5*E^(2*x) + (5*E^(-3 + 3*x))/x) + (2*E^(-3 + 3*x))/x - x^2 + E^x*(-4/(E^3*x) + x/E^3)","B",1
2607,1,20,20,0.0121988,"\int \frac{1}{4} \left(625-1250 e^{1-e^5+x^2} x\right) \, dx","Integrate[(625 - 1250*E^(1 - E^5 + x^2)*x)/4,x]","\frac{625}{4} \left(x-e^{x^2-e^5+1}\right)","\frac{625}{4} \left(x-e^{x^2-e^5+1}\right)",1,"(625*(-E^(1 - E^5 + x^2) + x))/4","A",1
2608,1,47,29,1.492744,"\int \left(1+2 e^{2 x}+\left(-24 e^x x+8 e^{2 x} x^2\right) \log \left(x^2\right)+\left(e^x \left(-12 x-6 x^2\right)+e^{2 x} \left(6 x^2+4 x^3\right)\right) \log ^2\left(x^2\right)+\left(72 x^3-48 e^x x^4+8 e^{2 x} x^5\right) \log ^3\left(x^2\right)+\left(36 x^3+e^x \left(-30 x^4-6 x^5\right)+e^{2 x} \left(6 x^5+2 x^6\right)\right) \log ^4\left(x^2\right)\right) \, dx","Integrate[1 + 2*E^(2*x) + (-24*E^x*x + 8*E^(2*x)*x^2)*Log[x^2] + (E^x*(-12*x - 6*x^2) + E^(2*x)*(6*x^2 + 4*x^3))*Log[x^2]^2 + (72*x^3 - 48*E^x*x^4 + 8*E^(2*x)*x^5)*Log[x^2]^3 + (36*x^3 + E^x*(-30*x^4 - 6*x^5) + E^(2*x)*(6*x^5 + 2*x^6))*Log[x^2]^4,x]","2 e^x x^2 \left(e^x x-3\right) \log ^2\left(x^2\right)+x^4 \left(e^x x-3\right)^2 \log ^4\left(x^2\right)+e^{2 x}+x","\left(x^2 \left(3-e^x x\right) \log ^2\left(x^2\right)-e^x\right)^2+x+4",1,"E^(2*x) + x + 2*E^x*x^2*(-3 + E^x*x)*Log[x^2]^2 + x^4*(-3 + E^x*x)^2*Log[x^2]^4","A",1
2609,1,26,24,0.055895,"\int \frac{-2-13 x+x^3-x^4+\left(2 x+x^2\right) \log (x)+\left(-5 x+x^2-x^3+x \log (x)\right) \log \left(e^{-x} \left(-60+12 x-12 x^2+12 \log (x)\right)\right)}{\left(-5 x+x^2-x^3+x \log (x)\right) \log ^2\left(e^{-x} \left(-60+12 x-12 x^2+12 \log (x)\right)\right)} \, dx","Integrate[(-2 - 13*x + x^3 - x^4 + (2*x + x^2)*Log[x] + (-5*x + x^2 - x^3 + x*Log[x])*Log[(-60 + 12*x - 12*x^2 + 12*Log[x])/E^x])/((-5*x + x^2 - x^3 + x*Log[x])*Log[(-60 + 12*x - 12*x^2 + 12*Log[x])/E^x]^2),x]","\frac{x+2}{\log \left(-12 e^{-x} \left(x^2-x-\log (x)+5\right)\right)}","\frac{x+2}{\log \left(12 e^{-x} \left(-x^2+x+\log (x)-5\right)\right)}",1,"(2 + x)/Log[(-12*(5 - x + x^2 - Log[x]))/E^x]","A",1
2610,1,48,29,2.7269758,"\int \frac{-2-x+8 x^3+x^4+e^{2 e^{4 x-x \log (x)} x} \left(1+e^{4 x-x \log (x)} (4+12 x-4 x \log (x))\right)+e^{e^{4 x-x \log (x)} x} \left(8 x+2 x^2+e^{4 x-x \log (x)} \left(4 x^2+12 x^3-4 x^3 \log (x)\right)\right)}{e^{2 e^{4 x-x \log (x)} x}-x+2 e^{e^{4 x-x \log (x)} x} x^2+x^4} \, dx","Integrate[(-2 - x + 8*x^3 + x^4 + E^(2*E^(4*x - x*Log[x])*x)*(1 + E^(4*x - x*Log[x])*(4 + 12*x - 4*x*Log[x])) + E^(E^(4*x - x*Log[x])*x)*(8*x + 2*x^2 + E^(4*x - x*Log[x])*(4*x^2 + 12*x^3 - 4*x^3*Log[x])))/(E^(2*E^(4*x - x*Log[x])*x) - x + 2*E^(E^(4*x - x*Log[x])*x)*x^2 + x^4),x]","2 \log \left(e^{2 e^{4 x} x^{1-x}}+x^4+2 e^{e^{4 x} x^{1-x}} x^2-x\right)+x","\log \left(\left(x-\left(x^2+e^{x e^{x (4-\log (x))}}\right)^2\right)^2\right)+x",1,"x + 2*Log[E^(2*E^(4*x)*x^(1 - x)) - x + 2*E^(E^(4*x)*x^(1 - x))*x^2 + x^4]","A",1
2611,1,111,32,0.0366319,"\int \frac{5000 x^2+2000 e x^2+200 e^2 x^2-3125 x^3-2500 x^5+e^5 \left(-20000-640 e^3-32 e^4+37500 x-15625 x^2-10000 x^3+10000 x^6+e \left(-16000+15000 x-4000 x^3\right)+e^2 \left(-4800+1500 x-400 x^3\right)\right)}{5000 e^5 x^5} \, dx","Integrate[(5000*x^2 + 2000*E*x^2 + 200*E^2*x^2 - 3125*x^3 - 2500*x^5 + E^5*(-20000 - 640*E^3 - 32*E^4 + 37500*x - 15625*x^2 - 10000*x^3 + 10000*x^6 + E*(-16000 + 15000*x - 4000*x^3) + E^2*(-4800 + 1500*x - 400*x^3)))/(5000*E^5*x^5),x]","-\frac{-\frac{8 \left(625 e^5+500 e^6+150 e^7+20 e^8+e^9\right)}{x^4}+\frac{500 \left(25 e^5+10 e^6+e^7\right)}{x^3}-5000 e^5 x^2-\frac{25 \left(-200-80 e-8 e^2+625 e^5\right)}{2 x^2}+2500 x-\frac{25 \left(125+400 e^5+160 e^6+16 e^7\right)}{x}}{5000 e^5}","\left(-\frac{(5+e)^2}{25 x^2}-x+\frac{\frac{x}{e^5}+5}{4 x}\right)^2",1,"-1/5000*((-8*(625*E^5 + 500*E^6 + 150*E^7 + 20*E^8 + E^9))/x^4 + (500*(25*E^5 + 10*E^6 + E^7))/x^3 - (25*(-200 - 80*E - 8*E^2 + 625*E^5))/(2*x^2) - (25*(125 + 400*E^5 + 160*E^6 + 16*E^7))/x + 2500*x - 5000*E^5*x^2)/E^5","B",1
2612,1,25,25,0.4732643,"\int \frac{e^{\frac{3 x-e^8 x+e^x x+\log \left(x^2 \log ^2(x)\right)}{x}} \left(2+\left(2+e^x x^2\right) \log (x)-\log (x) \log \left(x^2 \log ^2(x)\right)\right)}{x^2 \log (x)} \, dx","Integrate[(E^((3*x - E^8*x + E^x*x + Log[x^2*Log[x]^2])/x)*(2 + (2 + E^x*x^2)*Log[x] - Log[x]*Log[x^2*Log[x]^2]))/(x^2*Log[x]),x]","e^{e^x+3-e^8} \left(x^2 \log ^2(x)\right)^{\frac{1}{x}}","e^{\frac{\log \left(x^2 \log ^2(x)\right)}{x}+e^x-e^8+3}",1,"E^(3 - E^8 + E^x)*(x^2*Log[x]^2)^x^(-1)","A",1
2613,1,15,19,0.1375002,"\int \frac{10 e^x x+e^x \left(20 x+10 x^2\right) \log (x)}{4+5 e^x x^2 \log (x)} \, dx","Integrate[(10*E^x*x + E^x*(20*x + 10*x^2)*Log[x])/(4 + 5*E^x*x^2*Log[x]),x]","2 \log \left(5 e^x x^2 \log (x)+4\right)","\log \left(\left(-\frac{5}{4} e^x x^2 \log (x)-1\right)^2\right)-5",1,"2*Log[4 + 5*E^x*x^2*Log[x]]","A",1
2614,1,223,27,2.3904245,"\int \frac{3-3 x^2-3 x^3+\left(4+4 x^2+8 x^3\right) \log \left(\frac{x^2 \log (3)}{1-2 x^2-2 x^3+x^4+2 x^5+x^6}\right)+\left(1-x^2-x^3\right) \log ^2\left(\frac{x^2 \log (3)}{1-2 x^2-2 x^3+x^4+2 x^5+x^6}\right)}{-3+3 x^2+3 x^3} \, dx","Integrate[(3 - 3*x^2 - 3*x^3 + (4 + 4*x^2 + 8*x^3)*Log[(x^2*Log[3])/(1 - 2*x^2 - 2*x^3 + x^4 + 2*x^5 + x^6)] + (1 - x^2 - x^3)*Log[(x^2*Log[3])/(1 - 2*x^2 - 2*x^3 + x^4 + 2*x^5 + x^6)]^2)/(-3 + 3*x^2 + 3*x^3),x]","\frac{x \left(\log ^2\left(\frac{x^2 \log (3)}{\left(x^3+x^2-1\right)^2}\right)+3\right) \left(2 \text{Root}\left[\text{$\#$1}^3+\text{$\#$1}^2-1\&,1\right] \text{Root}\left[\text{$\#$1}^3+\text{$\#$1}^2-1\&,2\right]^2+2 \text{Root}\left[\text{$\#$1}^3+\text{$\#$1}^2-1\&,1\right]^2 \text{Root}\left[\text{$\#$1}^3+\text{$\#$1}^2-1\&,3\right]+2 \text{Root}\left[\text{$\#$1}^3+\text{$\#$1}^2-1\&,2\right] \text{Root}\left[\text{$\#$1}^3+\text{$\#$1}^2-1\&,3\right]^2+3\right)}{3 \left(\text{Root}\left[\text{$\#$1}^3+\text{$\#$1}^2-1\&,2\right]-\text{Root}\left[\text{$\#$1}^3+\text{$\#$1}^2-1\&,3\right]\right) \left(\text{Root}\left[\text{$\#$1}^3+\text{$\#$1}^2-1\&,1\right]-\text{Root}\left[\text{$\#$1}^3+\text{$\#$1}^2-1\&,2\right]\right) \left(\text{Root}\left[\text{$\#$1}^3+\text{$\#$1}^2-1\&,1\right]-\text{Root}\left[\text{$\#$1}^3+\text{$\#$1}^2-1\&,3\right]\right)}","-\frac{1}{3} x \log ^2\left(\frac{\log (3)}{\left(x^2+x-\frac{1}{x}\right)^2}\right)-x",1,"(x*(3 + Log[(x^2*Log[3])/(-1 + x^2 + x^3)^2]^2)*(3 + 2*Root[-1 + #1^2 + #1^3 & , 1, 0]*Root[-1 + #1^2 + #1^3 & , 2, 0]^2 + 2*Root[-1 + #1^2 + #1^3 & , 1, 0]^2*Root[-1 + #1^2 + #1^3 & , 3, 0] + 2*Root[-1 + #1^2 + #1^3 & , 2, 0]*Root[-1 + #1^2 + #1^3 & , 3, 0]^2))/(3*(Root[-1 + #1^2 + #1^3 & , 1, 0] - Root[-1 + #1^2 + #1^3 & , 2, 0])*(Root[-1 + #1^2 + #1^3 & , 1, 0] - Root[-1 + #1^2 + #1^3 & , 3, 0])*(Root[-1 + #1^2 + #1^3 & , 2, 0] - Root[-1 + #1^2 + #1^3 & , 3, 0]))","C",1
2615,1,24,28,0.0044742,"\int \frac{e^{2 x}}{12+4 e^{\frac{1}{3+e^2}}} \, dx","Integrate[E^(2*x)/(12 + 4*E^(3 + E^2)^(-1)),x]","\frac{e^{2 x}}{2 \left(12+4 e^{\frac{1}{3+e^2}}\right)}","\frac{\frac{e^{2 x}}{2}+4}{4 \left(3+e^{\frac{1}{3+e^2}}\right)}",1,"E^(2*x)/(2*(12 + 4*E^(3 + E^2)^(-1)))","A",1
2616,1,7,14,0.0034106,"\int -8 e^{4-8 x} \, dx","Integrate[-8*E^(4 - 8*x),x]","e^{4-8 x}","e^{\frac{4 \left(x-2 x^2\right)}{x}}",1,"E^(4 - 8*x)","A",1
2617,1,21,16,0.0182013,"\int \frac{26-x-x^2+\left(26+x^2\right) \log (x)+x^2 \log ^2(x)}{x^2 \log ^2(x)} \, dx","Integrate[(26 - x - x^2 + (26 + x^2)*Log[x] + x^2*Log[x]^2)/(x^2*Log[x]^2),x]","x+\frac{x}{\log (x)}+\frac{1}{\log (x)}-\frac{26}{x \log (x)}","x+\frac{\frac{x-26}{x}+x}{\log (x)}",1,"x + Log[x]^(-1) - 26/(x*Log[x]) + x/Log[x]","A",1
2618,1,31,23,5.181581,"\int \frac{50 x^3 \log (-4+x)+\left(-200 x-50 x^2+25 x^3\right) \log ^2(-4+x)+\left(8 x^3-2 x^4\right) \log ^3(-4+x)+\left(100 x^2 \log (-4+x)+(-200+50 x) \log ^2(-4+x)+\left(24 x^2-2 x^3-x^4\right) \log ^3(-4+x)\right) \log (x)+\left(50 x \log (-4+x)+(100-25 x) \log ^2(-4+x)+\left(24 x+6 x^2-3 x^3\right) \log ^3(-4+x)\right) \log ^2(x)+\left(8+10 x-3 x^2\right) \log ^3(-4+x) \log ^3(x)+(4-x) \log ^3(-4+x) \log ^4(x)}{-62500 x^2+15625 x^3+\left(-7500 x^3+1875 x^4\right) \log (-4+x) \log (x)+\left(\left(-7500 x^2+1875 x^3\right) \log (-4+x)+\left(-300 x^4+75 x^5\right) \log ^2(-4+x)\right) \log ^2(x)+\left(\left(-600 x^3+150 x^4\right) \log ^2(-4+x)+\left(-4 x^5+x^6\right) \log ^3(-4+x)\right) \log ^3(x)+\left(\left(-300 x^2+75 x^3\right) \log ^2(-4+x)+\left(-12 x^4+3 x^5\right) \log ^3(-4+x)\right) \log ^4(x)+\left(-12 x^3+3 x^4\right) \log ^3(-4+x) \log ^5(x)+\left(-4 x^2+x^3\right) \log ^3(-4+x) \log ^6(x)} \, dx","Integrate[(50*x^3*Log[-4 + x] + (-200*x - 50*x^2 + 25*x^3)*Log[-4 + x]^2 + (8*x^3 - 2*x^4)*Log[-4 + x]^3 + (100*x^2*Log[-4 + x] + (-200 + 50*x)*Log[-4 + x]^2 + (24*x^2 - 2*x^3 - x^4)*Log[-4 + x]^3)*Log[x] + (50*x*Log[-4 + x] + (100 - 25*x)*Log[-4 + x]^2 + (24*x + 6*x^2 - 3*x^3)*Log[-4 + x]^3)*Log[x]^2 + (8 + 10*x - 3*x^2)*Log[-4 + x]^3*Log[x]^3 + (4 - x)*Log[-4 + x]^3*Log[x]^4)/(-62500*x^2 + 15625*x^3 + (-7500*x^3 + 1875*x^4)*Log[-4 + x]*Log[x] + ((-7500*x^2 + 1875*x^3)*Log[-4 + x] + (-300*x^4 + 75*x^5)*Log[-4 + x]^2)*Log[x]^2 + ((-600*x^3 + 150*x^4)*Log[-4 + x]^2 + (-4*x^5 + x^6)*Log[-4 + x]^3)*Log[x]^3 + ((-300*x^2 + 75*x^3)*Log[-4 + x]^2 + (-12*x^4 + 3*x^5)*Log[-4 + x]^3)*Log[x]^4 + (-12*x^3 + 3*x^4)*Log[-4 + x]^3*Log[x]^5 + (-4*x^2 + x^3)*Log[-4 + x]^3*Log[x]^6),x]","\frac{\log ^2(x-4) (x+\log (x))^2}{x (\log (x-4) \log (x) (x+\log (x))+25)^2}","\frac{1}{x \left(\log (x)+\frac{25}{\log (x-4) (x+\log (x))}\right)^2}",1,"(Log[-4 + x]^2*(x + Log[x])^2)/(x*(25 + Log[-4 + x]*Log[x]*(x + Log[x]))^2)","A",1
2619,1,22,22,0.2058841,"\int \frac{e^{-x^2} \left(-x+(5+x) \log (5+x)+\left(5+x-10 x^2-2 x^3\right) \log (5+x) \log \left(\frac{12 x}{\log (5+x)}\right)\right)}{(100+20 x) \log (5+x)} \, dx","Integrate[(-x + (5 + x)*Log[5 + x] + (5 + x - 10*x^2 - 2*x^3)*Log[5 + x]*Log[(12*x)/Log[5 + x]])/(E^x^2*(100 + 20*x)*Log[5 + x]),x]","\frac{1}{20} e^{-x^2} x \log \left(\frac{12 x}{\log (x+5)}\right)","\frac{1}{20} e^{-x^2} x \log \left(\frac{12 x}{\log (x+5)}\right)",1,"(x*Log[(12*x)/Log[5 + x]])/(20*E^x^2)","A",1
2620,1,18,18,0.0192289,"\int \left(-1+e^{1+4 e^{10}+8 x+16 x^2+e^5 (4+16 x)} \left(8+16 e^5+32 x\right)\right) \, dx","Integrate[-1 + E^(1 + 4*E^10 + 8*x + 16*x^2 + E^5*(4 + 16*x))*(8 + 16*E^5 + 32*x),x]","e^{\left(4 x+2 e^5+1\right)^2}-x","e^{\left(4 x+2 e^5+1\right)^2}-x",1,"E^(1 + 2*E^5 + 4*x)^2 - x","A",1
2621,1,12,11,0.0013138,"\int \frac{-3+x \log (x)}{x} \, dx","Integrate[(-3 + x*Log[x])/x,x]","-x+x \log (x)-3 \log (x)","-x+(x-3) \log (x)-3",1,"-x - 3*Log[x] + x*Log[x]","A",1
2622,1,28,24,0.077682,"\int \frac{x^4+\left(-x^2-2 x^3\right) \log (4)+x^2 \log ^2(4)+e^x \left(e^4 \left(4 x^2-4 x^3+x^4\right)+e^4 \left(-8 x+8 x^2-2 x^3\right) \log (4)+e^4 \left(4-4 x+x^2\right) \log ^2(4)\right)}{x^4-2 x^3 \log (4)+x^2 \log ^2(4)} \, dx","Integrate[(x^4 + (-x^2 - 2*x^3)*Log[4] + x^2*Log[4]^2 + E^x*(E^4*(4*x^2 - 4*x^3 + x^4) + E^4*(-8*x + 8*x^2 - 2*x^3)*Log[4] + E^4*(4 - 4*x + x^2)*Log[4]^2))/(x^4 - 2*x^3*Log[4] + x^2*Log[4]^2),x]","x+e^{x+4}-\frac{4 e^{x+4}}{x}+\frac{\log (4)}{x-\log (4)}","\frac{e^{x+4} (x-4)}{x}+x+\frac{x}{x-\log (4)}",1,"E^(4 + x) - (4*E^(4 + x))/x + x + Log[4]/(x - Log[4])","A",1
2623,1,26,23,2.936385,"\int \frac{18055103407718400-268738560 x \log ^4(x)+x^2 \log ^8(x)+e^{-\frac{e^{5+x} \log ^4(x)}{-134369280+x \log ^4(x)}} \left(537477120 e^{5+x} \log ^3(x)+134369280 e^{5+x} x \log ^4(x)+e^{5+x} \left(x-x^2\right) \log ^8(x)\right)}{18055103407718400 x-268738560 x^2 \log ^4(x)+x^3 \log ^8(x)} \, dx","Integrate[(18055103407718400 - 268738560*x*Log[x]^4 + x^2*Log[x]^8 + (537477120*E^(5 + x)*Log[x]^3 + 134369280*E^(5 + x)*x*Log[x]^4 + E^(5 + x)*(x - x^2)*Log[x]^8)/E^((E^(5 + x)*Log[x]^4)/(-134369280 + x*Log[x]^4)))/(18055103407718400*x - 268738560*x^2*Log[x]^4 + x^3*Log[x]^8),x]","e^{\frac{e^{x+5} \log ^4(x)}{134369280-x \log ^4(x)}}+\log (x)","e^{\frac{e^{x+5}}{\frac{134369280}{\log ^4(x)}-x}}+\log (x)",1,"E^((E^(5 + x)*Log[x]^4)/(134369280 - x*Log[x]^4)) + Log[x]","A",1
2624,1,19,22,0.1472231,"\int \frac{1-x^2+\log (x)}{20+20 x+25 x^2+10 x^3+5 x^4+\left(20 x+10 x^2+10 x^3\right) \log (3)+5 x^2 \log ^2(3)+\left(20 x+10 x^2+10 x^3+10 x^2 \log (3)\right) \log (25)+5 x^2 \log ^2(25)+\left(20+10 x+10 x^2+10 x \log (3)+10 x \log (25)\right) \log (x)+5 \log ^2(x)} \, dx","Integrate[(1 - x^2 + Log[x])/(20 + 20*x + 25*x^2 + 10*x^3 + 5*x^4 + (20*x + 10*x^2 + 10*x^3)*Log[3] + 5*x^2*Log[3]^2 + (20*x + 10*x^2 + 10*x^3 + 10*x^2*Log[3])*Log[25] + 5*x^2*Log[25]^2 + (20 + 10*x + 10*x^2 + 10*x*Log[3] + 10*x*Log[25])*Log[x] + 5*Log[x]^2),x]","\frac{x}{5 \left(x^2+x+x \log (75)+\log (x)+2\right)}","\frac{x}{5 \left(x^2+x+x (\log (3)+\log (25))+\log (x)+2\right)}",1,"x/(5*(2 + x + x^2 + x*Log[75] + Log[x]))","A",1
2625,1,28,30,0.1810332,"\int \frac{2-2 x+e^{16 x^2+8 x^3+x^4} \left(-2 x+193 x^2-16 x^3-64 x^4+4 x^5+4 x^6\right)}{e^{32 x^2+16 x^3+2 x^4} \left(-18 x+21 x^2-8 x^3+x^4\right)+e^{16 x^2+8 x^3+x^4} \left(-12 x+10 x^2-2 x^3\right) \log \left(-2 x+x^2\right)+\left(-2 x+x^2\right) \log ^2\left(-2 x+x^2\right)} \, dx","Integrate[(2 - 2*x + E^(16*x^2 + 8*x^3 + x^4)*(-2*x + 193*x^2 - 16*x^3 - 64*x^4 + 4*x^5 + 4*x^6))/(E^(32*x^2 + 16*x^3 + 2*x^4)*(-18*x + 21*x^2 - 8*x^3 + x^4) + E^(16*x^2 + 8*x^3 + x^4)*(-12*x + 10*x^2 - 2*x^3)*Log[-2*x + x^2] + (-2*x + x^2)*Log[-2*x + x^2]^2),x]","-\frac{1}{e^{x^2 (x+4)^2} (x-3)-\log ((x-2) x)}","\frac{1}{e^{x^2 (x+4)^2} (3-x)+\log \left(x^2-2 x\right)}-1",1,"-(E^(x^2*(4 + x)^2)*(-3 + x) - Log[(-2 + x)*x])^(-1)","A",1
2626,1,23,23,0.1545635,"\int \frac{-4 x+2 x^2+\left(-134 x-2 x^2+2 x \log \left(4 x^2\right)\right) \log \left(67+x-\log \left(4 x^2\right)\right)+\left(134+2 x-2 \log \left(4 x^2\right)\right) \log ^2\left(67+x-\log \left(4 x^2\right)\right)}{\left(-67 x-x^2+x \log \left(4 x^2\right)\right) \log ^2\left(67+x-\log \left(4 x^2\right)\right)} \, dx","Integrate[(-4*x + 2*x^2 + (-134*x - 2*x^2 + 2*x*Log[4*x^2])*Log[67 + x - Log[4*x^2]] + (134 + 2*x - 2*Log[4*x^2])*Log[67 + x - Log[4*x^2]]^2)/((-67*x - x^2 + x*Log[4*x^2])*Log[67 + x - Log[4*x^2]]^2),x]","2 \left(\frac{x}{\log \left(-\log \left(4 x^2\right)+x+67\right)}-\log (x)\right)","2 \left(\frac{x}{\log \left(-\log \left(4 x^2\right)+x+67\right)}-\log (x)\right)",1,"2*(-Log[x] + x/Log[67 + x - Log[4*x^2]])","A",1
2627,1,49,25,0.8715011,"\int \frac{30+30 e^4+e^{e-x^2} \left(5+10 x^2\right)}{36 e^{10}+e^{2+2 e-2 x^2}+e^6 (72+12 x)+e^2 \left(36+12 x+x^2\right)+e^{e-x^2} \left(12 e^6+e^2 (12+2 x)\right)} \, dx","Integrate[(30 + 30*E^4 + E^(E - x^2)*(5 + 10*x^2))/(36*E^10 + E^(2 + 2*E - 2*x^2) + E^6*(72 + 12*x) + E^2*(36 + 12*x + x^2) + E^(E - x^2)*(12*E^6 + E^2*(12 + 2*x))),x]","-\frac{5 \left(6 e^{x^2}+6 e^{x^2+4}+e^e\right)}{e^2 \left(e^{x^2} (x+6)+6 e^{x^2+4}+e^e\right)}","\frac{5 x}{e^2 \left(e^{e-x^2}+x+6 e^4+6\right)}",1,"(-5*(E^E + 6*E^x^2 + 6*E^(4 + x^2)))/(E^2*(E^E + 6*E^(4 + x^2) + E^x^2*(6 + x)))","A",1
2628,1,53,23,0.0169374,"\int \frac{e^{24} \left(-16+(-8 x-8 \log (3)) \log (x)+\left(5-x-x^2-2 x \log (3)-\log ^2(3)\right) \log ^2(x)\right) \left(-32+(-8 x-8 \log (3)) \log (x)+8 x \log ^2(x)+\left(x+2 x^2+2 x \log (3)\right) \log ^3(x)\right)}{\log ^2(x) \left(16 x \log (x)+\left(8 x^2+8 x \log (3)\right) \log ^2(x)+\left(-5 x+x^2+x^3+2 x^2 \log (3)+x \log ^2(3)\right) \log ^3(x)\right)} \, dx","Integrate[(E^24*(-16 + (-8*x - 8*Log[3])*Log[x] + (5 - x - x^2 - 2*x*Log[3] - Log[3]^2)*Log[x]^2)*(-32 + (-8*x - 8*Log[3])*Log[x] + 8*x*Log[x]^2 + (x + 2*x^2 + 2*x*Log[3])*Log[x]^3))/(Log[x]^2*(16*x*Log[x] + (8*x^2 + 8*x*Log[3])*Log[x]^2 + (-5*x + x^2 + x^3 + 2*x^2*Log[3] + x*Log[3]^2)*Log[x]^3)),x]","-e^{24} x^2-e^{24} x-\frac{16 e^{24}}{\log ^2(x)}-\frac{8 e^{24} x}{\log (x)}-e^{24} x \log (9)-\frac{8 e^{24} \log (3)}{\log (x)}","e^{24} \left(-x-\left(x+\frac{4}{\log (x)}+\log (3)\right)^2+5\right)",1,"-(E^24*x) - E^24*x^2 - E^24*x*Log[9] - (16*E^24)/Log[x]^2 - (8*E^24*x)/Log[x] - (8*E^24*Log[3])/Log[x]","B",1
2629,1,31,25,0.8600549,"\int \frac{2 x-4 x^2+x^3+e^{3 x} \left(8 x+12 x^2\right)+e^x \left(6 x+20 x^2-2 x^3\right)+e^{2 x} \left(-16 x-27 x^2+x^3\right)}{4 e^x-8 e^{2 x}+4 e^{3 x}} \, dx","Integrate[(2*x - 4*x^2 + x^3 + E^(3*x)*(8*x + 12*x^2) + E^x*(6*x + 20*x^2 - 2*x^3) + E^(2*x)*(-16*x - 27*x^2 + x^3))/(4*E^x - 8*E^(2*x) + 4*E^(3*x)),x]","\frac{1}{4} x^2 \left(-e^{-x} (x-1)+4 x+\frac{1}{e^{-x}-1}+5\right)","x^2 \left(x-\frac{1}{4} e^{-x} \left(x+\frac{1}{e^x-1}\right)+1\right)",1,"(x^2*(5 + (-1 + E^(-x))^(-1) - (-1 + x)/E^x + 4*x))/4","A",1
2630,1,163,29,0.1941423,"\int \frac{27 x^3+27 x^4+27 x^5+9 x^6+\left(90 x+270 x^2+135 x^3+270 x^4+135 x^5\right) (i \pi +\log (4))^2+\left(450+1350 x+675 x^3+675 x^4\right) (i \pi +\log (4))^4+\left(2250+1125 x^3\right) (i \pi +\log (4))^6}{x^3+3 x^4+3 x^5+x^6+\left(15 x^3+30 x^4+15 x^5\right) (i \pi +\log (4))^2+\left(75 x^3+75 x^4\right) (i \pi +\log (4))^4+125 x^3 (i \pi +\log (4))^6} \, dx","Integrate[(27*x^3 + 27*x^4 + 27*x^5 + 9*x^6 + (90*x + 270*x^2 + 135*x^3 + 270*x^4 + 135*x^5)*(I*Pi + Log[4])^2 + (450 + 1350*x + 675*x^3 + 675*x^4)*(I*Pi + Log[4])^4 + (2250 + 1125*x^3)*(I*Pi + Log[4])^6)/(x^3 + 3*x^4 + 3*x^5 + x^6 + (15*x^3 + 30*x^4 + 15*x^5)*(I*Pi + Log[4])^2 + (75*x^3 + 75*x^4)*(I*Pi + Log[4])^4 + 125*x^3*(I*Pi + Log[4])^6),x]","\frac{9 \left(x^5+2 x^4 \left(1+5 \log ^2(4)\right)+25 \pi ^4 \left(x^3-1\right)+x^3 \left(1+5 \log ^2(4)\right)^2-100 i \pi ^3 \left(x^3-1\right) \log (4)-x^2+20 i \pi  \log (4) \left(x^4+x^3 \left(1+5 \log ^2(4)\right)-x-5 \log ^2(4)\right)-10 \pi ^2 \left(x^4+x^3 \left(1+15 \log ^2(4)\right)-x-15 \log ^2(4)\right)-10 x \log ^2(4)-25 \log ^4(4)\right)}{x^2 \left(x-5 \pi ^2+1+5 \log ^2(4)+10 i \pi  \log (4)\right)^2}","9 \left(x-\frac{1}{\left(x+\frac{x}{x+5 (\log (4)+i \pi )^2}\right)^2}+3\right)",1,"(9*(-x^2 + x^5 + 25*Pi^4*(-1 + x^3) - (100*I)*Pi^3*(-1 + x^3)*Log[4] - 10*x*Log[4]^2 - 25*Log[4]^4 + 2*x^4*(1 + 5*Log[4]^2) + x^3*(1 + 5*Log[4]^2)^2 + (20*I)*Pi*Log[4]*(-x + x^4 - 5*Log[4]^2 + x^3*(1 + 5*Log[4]^2)) - 10*Pi^2*(-x + x^4 - 15*Log[4]^2 + x^3*(1 + 15*Log[4]^2))))/(x^2*(1 - 5*Pi^2 + x + (10*I)*Pi*Log[4] + 5*Log[4]^2)^2)","B",1
2631,1,96,33,0.1622953,"\int \frac{-80 x+\left(240-48 x-3 x^2\right) \log (2)+\left(-20 x+\left(48-12 x-x^2\right) \log (2)\right) \log \left(\frac{-20 x+\left(48-12 x-x^2\right) \log (2)}{4 x \log (2)}\right)}{20 x^3+\left(-48 x^2+12 x^3+x^4\right) \log (2)} \, dx","Integrate[(-80*x + (240 - 48*x - 3*x^2)*Log[2] + (-20*x + (48 - 12*x - x^2)*Log[2])*Log[(-20*x + (48 - 12*x - x^2)*Log[2])/(4*x*Log[2])])/(20*x^3 + (-48*x^2 + 12*x^3 + x^4)*Log[2]),x]","\frac{\log \left(\frac{x^2 (-\log (2))-4 x (5+\log (8))+48 \log (2)}{x \log (16)}\right)}{x}+\frac{4}{x}+\frac{(\log (8)-3 \log (2)) \tanh ^{-1}\left(\frac{x \log (2)+10+\log (64)}{2 \sqrt{12 \log ^2(2)+(5+\log (8))^2}}\right)}{2 \sqrt{12 \log ^2(2)+(5+\log (8))^2}}","\frac{\log \left(4 \left(\frac{3}{x}-\frac{x}{2}\right)+\frac{7 x}{4}-3-\frac{5}{\log (2)}\right)+4}{x}",1,"4/x + (ArcTanh[(10 + x*Log[2] + Log[64])/(2*Sqrt[12*Log[2]^2 + (5 + Log[8])^2])]*(-3*Log[2] + Log[8]))/(2*Sqrt[12*Log[2]^2 + (5 + Log[8])^2]) + Log[(48*Log[2] - x^2*Log[2] - 4*x*(5 + Log[8]))/(x*Log[16])]/x","B",1
2632,1,21,25,0.0032566,"\int \frac{1}{4} \left(2+4 e^3-e^x+8 x\right) \, dx","Integrate[(2 + 4*E^3 - E^x + 8*x)/4,x]","x^2+e^3 x+\frac{x}{2}-\frac{e^x}{4}","x^2+x+\frac{1}{4} \left(-2 x-e^x\right)+e^3 (x+4)",1,"-1/4*E^x + x/2 + E^3*x + x^2","A",1
2633,1,97,30,0.1507803,"\int \frac{-1+2 x+e^{-2+e^4} (-20+40 x)+e^{-4+2 e^4} \left(-158+313 x+4 x^2\right)+e^{-6+3 e^4} \left(-580+1130 x+40 x^2\right)+e^{-8+4 e^4} \left(-841+1595 x+115 x^2+2 x^3\right)}{x+20 e^{-2+e^4} x+e^{-4+2 e^4} \left(158 x+2 x^2\right)+e^{-6+3 e^4} \left(580 x+20 x^2\right)+e^{-8+4 e^4} \left(841 x+58 x^2+x^3\right)} \, dx","Integrate[(-1 + 2*x + E^(-2 + E^4)*(-20 + 40*x) + E^(-4 + 2*E^4)*(-158 + 313*x + 4*x^2) + E^(-6 + 3*E^4)*(-580 + 1130*x + 40*x^2) + E^(-8 + 4*E^4)*(-841 + 1595*x + 115*x^2 + 2*x^3))/(x + 20*E^(-2 + E^4)*x + E^(-4 + 2*E^4)*(158*x + 2*x^2) + E^(-6 + 3*E^4)*(580*x + 20*x^2) + E^(-8 + 4*E^4)*(841*x + 58*x^2 + x^3)),x]","\frac{e^{2 e^4} \left(2 x^2+58 x+29\right)+10 e^{2+e^4} (2 x+1)+e^4 (2 x+1)-\left(e^{2 e^4} (x+29)+10 e^{2+e^4}+e^4\right) \log (x)}{e^{2 e^4} (x+29)+10 e^{2+e^4}+e^4}","-\frac{x}{x+\left(5+e^{2-e^4}\right)^2+4}+2 x-\log (x)+7",1,"(E^4*(1 + 2*x) + 10*E^(2 + E^4)*(1 + 2*x) + E^(2*E^4)*(29 + 58*x + 2*x^2) - (E^4 + 10*E^(2 + E^4) + E^(2*E^4)*(29 + x))*Log[x])/(E^4 + 10*E^(2 + E^4) + E^(2*E^4)*(29 + x))","B",1
2634,1,23,26,0.1526045,"\int \frac{18+108 x+9 x^2+e^{e^x} \left(-54 x+e^x \left(-90+63 x^2-9 x^4\right)\right)}{4-4 x^2+x^4} \, dx","Integrate[(18 + 108*x + 9*x^2 + E^E^x*(-54*x + E^x*(-90 + 63*x^2 - 9*x^4)))/(4 - 4*x^2 + x^4),x]","-\frac{9 \left(e^{e^x} \left(x^2-5\right)+x+6\right)}{x^2-2}","\frac{9 \left(\left(e^{e^x}-2\right) \left(x^2-5\right)+x\right)}{2-x^2}",1,"(-9*(6 + x + E^E^x*(-5 + x^2)))/(-2 + x^2)","A",1
2635,1,14,13,0.0159033,"\int \left(3+e^{\frac{1}{2} (-1+2 x)} (-1-x)\right) \, dx","Integrate[3 + E^((-1 + 2*x)/2)*(-1 - x),x]","3 x-e^{x-\frac{1}{2}} x","\left(3-e^{x-\frac{1}{2}}\right) x",1,"3*x - E^(-1/2 + x)*x","A",1
2636,1,20,17,0.0134406,"\int \frac{e^{-2 e+2 e^4}}{-1+e^{-2 e+2 e^4} (-2+x)} \, dx","Integrate[E^(-2*E + 2*E^4)/(-1 + E^(-2*E + 2*E^4)*(-2 + x)),x]","\log \left(e^{2 e^4} (x-2)-e^{2 e}\right)","\log \left(-x+e^{2 e-2 e^4}+2\right)",1,"Log[-E^(2*E) + E^(2*E^4)*(-2 + x)]","A",1
2637,0,0,31,7.9069177,"\int \frac{\exp \left(\frac{e^{2 x^4} \left(1-4 x+8 x^3+4 x^4\right) \log ^2(2)+e^{2 x^4} \left(-2+8 x-16 x^3-8 x^4\right) \log (2) \log (x)+e^{2 x^4} \left(1-4 x+8 x^3+4 x^4\right) \log ^2(x)}{x^2}\right) \left(e^{2 x^4} \left(\left(-2+8 x-16 x^3-8 x^4\right) \log (2)+\left(-2+4 x+8 x^3+16 x^4-32 x^5+64 x^7+32 x^8\right) \log ^2(2)\right)+e^{2 x^4} \left(2-8 x+16 x^3+8 x^4+\left(4-8 x-16 x^3-32 x^4+64 x^5-128 x^7-64 x^8\right) \log (2)\right) \log (x)+e^{2 x^4} \left(-2+4 x+8 x^3+16 x^4-32 x^5+64 x^7+32 x^8\right) \log ^2(x)\right)}{x^3} \, dx","Integrate[(E^((E^(2*x^4)*(1 - 4*x + 8*x^3 + 4*x^4)*Log[2]^2 + E^(2*x^4)*(-2 + 8*x - 16*x^3 - 8*x^4)*Log[2]*Log[x] + E^(2*x^4)*(1 - 4*x + 8*x^3 + 4*x^4)*Log[x]^2)/x^2)*(E^(2*x^4)*((-2 + 8*x - 16*x^3 - 8*x^4)*Log[2] + (-2 + 4*x + 8*x^3 + 16*x^4 - 32*x^5 + 64*x^7 + 32*x^8)*Log[2]^2) + E^(2*x^4)*(2 - 8*x + 16*x^3 + 8*x^4 + (4 - 8*x - 16*x^3 - 32*x^4 + 64*x^5 - 128*x^7 - 64*x^8)*Log[2])*Log[x] + E^(2*x^4)*(-2 + 4*x + 8*x^3 + 16*x^4 - 32*x^5 + 64*x^7 + 32*x^8)*Log[x]^2))/x^3,x]","\int \frac{\exp \left(\frac{e^{2 x^4} \left(1-4 x+8 x^3+4 x^4\right) \log ^2(2)+e^{2 x^4} \left(-2+8 x-16 x^3-8 x^4\right) \log (2) \log (x)+e^{2 x^4} \left(1-4 x+8 x^3+4 x^4\right) \log ^2(x)}{x^2}\right) \left(e^{2 x^4} \left(\left(-2+8 x-16 x^3-8 x^4\right) \log (2)+\left(-2+4 x+8 x^3+16 x^4-32 x^5+64 x^7+32 x^8\right) \log ^2(2)\right)+e^{2 x^4} \left(2-8 x+16 x^3+8 x^4+\left(4-8 x-16 x^3-32 x^4+64 x^5-128 x^7-64 x^8\right) \log (2)\right) \log (x)+e^{2 x^4} \left(-2+4 x+8 x^3+16 x^4-32 x^5+64 x^7+32 x^8\right) \log ^2(x)\right)}{x^3} \, dx","\exp \left(e^{2 x^4} \left(2 x-\frac{1}{x}+2\right)^2 (\log (x)-\log (2))^2\right)",1,"Integrate[(E^((E^(2*x^4)*(1 - 4*x + 8*x^3 + 4*x^4)*Log[2]^2 + E^(2*x^4)*(-2 + 8*x - 16*x^3 - 8*x^4)*Log[2]*Log[x] + E^(2*x^4)*(1 - 4*x + 8*x^3 + 4*x^4)*Log[x]^2)/x^2)*(E^(2*x^4)*((-2 + 8*x - 16*x^3 - 8*x^4)*Log[2] + (-2 + 4*x + 8*x^3 + 16*x^4 - 32*x^5 + 64*x^7 + 32*x^8)*Log[2]^2) + E^(2*x^4)*(2 - 8*x + 16*x^3 + 8*x^4 + (4 - 8*x - 16*x^3 - 32*x^4 + 64*x^5 - 128*x^7 - 64*x^8)*Log[2])*Log[x] + E^(2*x^4)*(-2 + 4*x + 8*x^3 + 16*x^4 - 32*x^5 + 64*x^7 + 32*x^8)*Log[x]^2))/x^3, x]","F",-1
2638,1,20,20,0.0379414,"\int \frac{e^{3+\frac{e^3-3 x}{4 x}}+4 x^2}{4 x^2} \, dx","Integrate[(E^(3 + (E^3 - 3*x)/(4*x)) + 4*x^2)/(4*x^2),x]","x-e^{\frac{e^3}{4 x}-\frac{3}{4}}","x-e^{\frac{x+e^3}{4 x}-1}",1,"-E^(-3/4 + E^3/(4*x)) + x","A",1
2639,1,26,24,0.3105656,"\int \frac{10 e^4+e^8 \left(-15 x+18 x^4\right)+12 e^8 x^3 \log (4)+2 e^8 x^2 \log ^2(4)+\left(-24 e^4 x^3-8 e^4 x^2 \log (4)\right) \log (x)+8 x^2 \log ^2(x)}{9 e^8 x^3+6 e^8 x^2 \log (4)+e^8 x \log ^2(4)+\left(-12 e^4 x^2-4 e^4 x \log (4)\right) \log (x)+4 x \log ^2(x)} \, dx","Integrate[(10*E^4 + E^8*(-15*x + 18*x^4) + 12*E^8*x^3*Log[4] + 2*E^8*x^2*Log[4]^2 + (-24*E^4*x^3 - 8*E^4*x^2*Log[4])*Log[x] + 8*x^2*Log[x]^2)/(9*E^8*x^3 + 6*E^8*x^2*Log[4] + E^8*x*Log[4]^2 + (-12*E^4*x^2 - 4*E^4*x*Log[4])*Log[x] + 4*x*Log[x]^2),x]","x^2+\frac{5 e^4}{e^4 (3 x+\log (4))-2 \log (x)}","x^2+\frac{5}{x+2 \left(x-\frac{\log (x)}{e^4}\right)+\log (4)}+30",1,"x^2 + (5*E^4)/(E^4*(3*x + Log[4]) - 2*Log[x])","A",1
2640,1,12,22,0.0017115,"\int \frac{12 e^4}{13-26 x+13 x^2} \, dx","Integrate[(12*E^4)/(13 - 26*x + 13*x^2),x]","-\frac{12 e^4}{13 (x-1)}","e^4 \left(\frac{12 x^2}{13 \left(x-x^2\right)}+2\right)",1,"(-12*E^4)/(13*(-1 + x))","A",1
2641,1,37,25,0.2697654,"\int \frac{10 e^3+e^{25-x^2} \left(x^2-2 x^4\right)}{-10 e^3 x+5 x^2+e^{25-x^2} x^3} \, dx","Integrate[(10*E^3 + E^(25 - x^2)*(x^2 - 2*x^4))/(-10*E^3*x + 5*x^2 + E^(25 - x^2)*x^3),x]","-x^2+\log \left(-e^{25} x^2-5 e^{x^2} x+10 e^{x^2+3}\right)-\log (x)","\log \left(\frac{2}{5} e^{25-x^2} x-\frac{4 e^3}{x}+2\right)",1,"-x^2 - Log[x] + Log[10*E^(3 + x^2) - 5*E^x^2*x - E^25*x^2]","A",1
2642,1,7,7,0.0000597,"\int -\frac{\log (3)}{3} \, dx","Integrate[-1/3*Log[3],x]","-\frac{1}{3} x \log (3)","-\frac{1}{3} x \log (3)",1,"-1/3*(x*Log[3])","A",1
2643,1,30,26,0.2251451,"\int \frac{-20-8 x-x^2+e^x (3+x)+\left(-1+e^5\right)^{e^{8 x}} \left(-1+e^{8 x} (32+8 x) \log \left(-1+e^5\right)\right)}{16+8 x+x^2} \, dx","Integrate[(-20 - 8*x - x^2 + E^x*(3 + x) + (-1 + E^5)^E^(8*x)*(-1 + E^(8*x)*(32 + 8*x)*Log[-1 + E^5]))/(16 + 8*x + x^2),x]","\frac{-x^2-4 x+\left(e^5-1\right)^{e^{8 x}}+e^x+4}{x+4}","\frac{e^x+\left(e^5-1\right)^{e^{8 x}}+4}{x+4}-x",1,"(4 + E^x + (-1 + E^5)^E^(8*x) - 4*x - x^2)/(4 + x)","A",1
2644,1,23,24,0.4367425,"\int \frac{64+\left(80 x^2+40 x^3\right) \log \left(\frac{10}{x}\right)+\left(-40 x^2-40 x^3\right) \log ^2\left(\frac{10}{x}\right)}{256+\left(320 x^2+160 x^3\right) \log ^2\left(\frac{10}{x}\right)+\left(100 x^4+100 x^5+25 x^6\right) \log ^4\left(\frac{10}{x}\right)} \, dx","Integrate[(64 + (80*x^2 + 40*x^3)*Log[10/x] + (-40*x^2 - 40*x^3)*Log[10/x]^2)/(256 + (320*x^2 + 160*x^3)*Log[10/x]^2 + (100*x^4 + 100*x^5 + 25*x^6)*Log[10/x]^4),x]","\frac{8 x}{10 x^2 (x+2) \log ^2\left(\frac{10}{x}\right)+32}","\frac{x}{\frac{5}{4} x^2 (x+2) \log ^2\left(\frac{10}{x}\right)+4}",1,"(8*x)/(32 + 10*x^2*(2 + x)*Log[10/x]^2)","A",1
2645,1,22,20,0.1912821,"\int \frac{135 x+e^x (72+18 x)+\left(-18 e^x-27 x\right) \log \left(\frac{1}{2} \left(10 e^x x^4+15 x^5\right)\right)}{2 e^x x^2+3 x^3} \, dx","Integrate[(135*x + E^x*(72 + 18*x) + (-18*E^x - 27*x)*Log[(10*E^x*x^4 + 15*x^5)/2])/(2*E^x*x^2 + 3*x^3),x]","\frac{9 \log \left(\frac{5}{2} x^4 \left(3 x+2 e^x\right)\right)}{x}","\frac{9 \log \left(5 x^4 \left(\frac{3 x}{2}+e^x\right)\right)}{x}",1,"(9*Log[(5*x^4*(2*E^x + 3*x))/2])/x","A",1
2646,1,25,28,1.5252212,"\int \frac{42 x+32 x^2+5 x^3+e^x \left(7 x-x^2-x^3\right)+\left(18+6 x+e^x \left(3-2 x-x^2\right)\right) \log \left(\frac{3+x}{5}\right)}{3 x^4+x^5+\left(6 x^3+2 x^4\right) \log \left(\frac{3+x}{5}\right)+\left(3 x^2+x^3\right) \log ^2\left(\frac{3+x}{5}\right)} \, dx","Integrate[(42*x + 32*x^2 + 5*x^3 + E^x*(7*x - x^2 - x^3) + (18 + 6*x + E^x*(3 - 2*x - x^2))*Log[(3 + x)/5])/(3*x^4 + x^5 + (6*x^3 + 2*x^4)*Log[(3 + x)/5] + (3*x^2 + x^3)*Log[(3 + x)/5]^2),x]","-\frac{5 x+e^x+6}{x \left(x+\log \left(\frac{x+3}{5}\right)\right)}","\frac{-5 (x+1)-e^x-1}{x \left(x+\log \left(\frac{x+3}{5}\right)\right)}",1,"-((6 + E^x + 5*x)/(x*(x + Log[(3 + x)/5])))","A",1
2647,1,26,28,0.0315504,"\int \frac{1}{4} \left(2500 x^3-1250 x^4+150 x^5+\left(-500 x^3+125 x^4\right) \log (4)+25 x^3 \log ^2(4)+\left(15000 x^2-8000 x^3+1000 x^4+\left(-3000 x^2+800 x^3\right) \log (4)+150 x^2 \log ^2(4)\right) \log ^2(5)+\left(20000 x-12000 x^2+1600 x^3+\left(-4000 x+1200 x^2\right) \log (4)+200 x \log ^2(4)\right) \log ^4(5)\right) \, dx","Integrate[(2500*x^3 - 1250*x^4 + 150*x^5 + (-500*x^3 + 125*x^4)*Log[4] + 25*x^3*Log[4]^2 + (15000*x^2 - 8000*x^3 + 1000*x^4 + (-3000*x^2 + 800*x^3)*Log[4] + 150*x^2*Log[4]^2)*Log[5]^2 + (20000*x - 12000*x^2 + 1600*x^3 + (-4000*x + 1200*x^2)*Log[4] + 200*x*Log[4]^2)*Log[5]^4)/4,x]","\frac{25}{16} x^2 (2 x-10+\log (4))^2 \left(x+4 \log ^2(5)\right)^2","\frac{25}{16} x^2 (-2 x+10-\log (4))^2 \left(x+4 \log ^2(5)\right)^2",1,"(25*x^2*(-10 + 2*x + Log[4])^2*(x + 4*Log[5]^2)^2)/16","A",1
2648,1,25,18,0.0376512,"\int \frac{\exp \left(\frac{(-29-2 x) \log (4)+(1-\log (4)) \log (x)}{\log (4)}\right) (1+(-1-2 x) \log (4))}{x \log (4)} \, dx","Integrate[(E^(((-29 - 2*x)*Log[4] + (1 - Log[4])*Log[x])/Log[4])*(1 + (-1 - 2*x)*Log[4]))/(x*Log[4]),x]","\frac{e^{-2 x-29} \log (16) x^{\frac{1}{\log (4)}-1}}{2 \log (4)}","\frac{e^{-2 x+\frac{\log (x)}{\log (4)}-29}}{x}",1,"(E^(-29 - 2*x)*x^(-1 + Log[4]^(-1))*Log[16])/(2*Log[4])","A",1
2649,1,198,32,0.3367079,"\int \frac{-32 x^4+64 x^5-48 x^6+16 x^7-2 x^8+\left(64 x^3-160 x^4+144 x^5-56 x^6+8 x^7\right) \log \left(5 e^{-3+x}\right)+e^{e^x+x} \left(-25-25 e^x\right) \log ^3\left(5 e^{-3+x}\right)}{25 \log ^3\left(5 e^{-3+x}\right)} \, dx","Integrate[(-32*x^4 + 64*x^5 - 48*x^6 + 16*x^7 - 2*x^8 + (64*x^3 - 160*x^4 + 144*x^5 - 56*x^6 + 8*x^7)*Log[5*E^(-3 + x)] + E^(E^x + x)*(-25 - 25*E^x)*Log[5*E^(-3 + x)]^3)/(25*Log[5*E^(-3 + x)]^3),x]","\frac{(x-2)^4 x^4-15 \left(7 x^2-16 x+8\right) \log ^6\left(5 e^{x-3}\right)+6 (x-2)^2 x \left(7 x^2-12 x+4\right) \log ^3\left(5 e^{x-3}\right)-\left(x^2 (7 x-6) (x-2)^3+25 e^{x+e^x}\right) \log ^2\left(5 e^{x-3}\right)+4 \left(35 x^3-120 x^2+120 x-32\right) \log ^5\left(5 e^{x-3}\right)-3 \left(35 x^4-160 x^3+240 x^2-128 x+16\right) \log ^4\left(5 e^{x-3}\right)-7 \log ^8\left(5 e^{x-3}\right)+6 (7 x-8) \log ^7\left(5 e^{x-3}\right)}{25 \log ^2\left(5 e^{x-3}\right)}","\frac{(x-2)^4 x^4}{25 \log ^2\left(5 e^{x-3}\right)}-e^{x+e^x}",1,"((-2 + x)^4*x^4 - (25*E^(E^x + x) + (-2 + x)^3*x^2*(-6 + 7*x))*Log[5*E^(-3 + x)]^2 + 6*(-2 + x)^2*x*(4 - 12*x + 7*x^2)*Log[5*E^(-3 + x)]^3 - 3*(16 - 128*x + 240*x^2 - 160*x^3 + 35*x^4)*Log[5*E^(-3 + x)]^4 + 4*(-32 + 120*x - 120*x^2 + 35*x^3)*Log[5*E^(-3 + x)]^5 - 15*(8 - 16*x + 7*x^2)*Log[5*E^(-3 + x)]^6 + 6*(-8 + 7*x)*Log[5*E^(-3 + x)]^7 - 7*Log[5*E^(-3 + x)]^8)/(25*Log[5*E^(-3 + x)]^2)","B",1
2650,1,27,31,0.1901234,"\int \frac{-75-x-2 x^2+6 e^{-x+x \log (x)} x^2 \log (x)}{3 x^2} \, dx","Integrate[(-75 - x - 2*x^2 + 6*E^(-x + x*Log[x])*x^2*Log[x])/(3*x^2),x]","\frac{1}{3} \left(6 e^{-x} x^x-2 x+\frac{75}{x}-\log (x)\right)","\frac{25}{x}-\frac{1}{3} \log \left(x e^{2 x-6 e^{x \log (x)-x}}\right)",1,"(75/x - 2*x + (6*x^x)/E^x - Log[x])/3","A",1
2651,1,31,25,0.020872,"\int \frac{75 x+45 x^3+60 x^4+e^x \left(10-5 x+2 x^3\right)}{15 x^3} \, dx","Integrate[(75*x + 45*x^3 + 60*x^4 + E^x*(10 - 5*x + 2*x^3))/(15*x^3),x]","2 x^2-\frac{e^x}{3 x^2}+3 x+\frac{2 e^x}{15}-\frac{5}{x}","x+\left(x+\frac{e^x}{15 x}+1\right) \left(2 x-\frac{5}{x}\right)",1,"(2*E^x)/15 - E^x/(3*x^2) - 5/x + 3*x + 2*x^2","A",1
2652,1,23,21,0.0258049,"\int \frac{1+2 x+2 x^2-2 x^3-x^4+e^{-4+x} \left(x+3 x^2+3 x^3+x^4\right)}{x+3 x^2+3 x^3+x^4} \, dx","Integrate[(1 + 2*x + 2*x^2 - 2*x^3 - x^4 + E^(-4 + x)*(x + 3*x^2 + 3*x^3 + x^4))/(x + 3*x^2 + 3*x^3 + x^4),x]","-x+e^{x-4}-\frac{2}{x+1}+\frac{1}{(x+1)^2}+\log (x)","\frac{x^2}{(x+1)^2}-x+e^{x-4}+\log (x)-4",1,"E^(-4 + x) - x + (1 + x)^(-2) - 2/(1 + x) + Log[x]","A",1
2653,1,23,31,0.1825064,"\int \frac{12-18 x+24 x^2-15 x^3+3 x^4+e^x \left(16 x-32 x^2+32 x^3-16 x^4+4 x^5\right)}{4 x-8 x^2+8 x^3-4 x^4+x^5} \, dx","Integrate[(12 - 18*x + 24*x^2 - 15*x^3 + 3*x^4 + E^x*(16*x - 32*x^2 + 32*x^3 - 16*x^4 + 4*x^5))/(4*x - 8*x^2 + 8*x^3 - 4*x^4 + x^5),x]","\frac{3 x}{x^2-2 x+2}+4 e^x+3 \log (x)","3 \left(-\frac{x}{-x^2+2 x-2}+e^x+\log \left(\frac{x}{5}\right)\right)+e^x",1,"4*E^x + (3*x)/(2 - 2*x + x^2) + 3*Log[x]","A",1
2654,1,21,21,0.1933949,"\int e^{\frac{1-e^{\frac{5}{2}+2 x} x-e^{5/2} x^2}{e^{5/2}}} \left(e^{2 x} (-1-2 x)-2 x\right) \, dx","Integrate[E^((1 - E^(5/2 + 2*x)*x - E^(5/2)*x^2)/E^(5/2))*(E^(2*x)*(-1 - 2*x) - 2*x),x]","e^{-x^2-e^{2 x} x+\frac{1}{e^{5/2}}}","e^{-x^2-e^{2 x} x+\frac{1}{e^{5/2}}}",1,"E^(E^(-5/2) - E^(2*x)*x - x^2)","A",1
2655,1,38,26,0.4328746,"\int \frac{-2-8 x-2 x^2-10 x^3-8 x^4+\left(-4 x^2+22 x^3+24 x^4\right) \log (x)+\left(-2 x^2+11 x^3+12 x^4\right) \log ^2(x)+\left(2 x+8 x^2+\left(-2 x-8 x^2\right) \log (x)+\left(-x-4 x^2\right) \log ^2(x)\right) \log (1+4 x)}{\left(x+4 x^2\right) \log ^2(x)} \, dx","Integrate[(-2 - 8*x - 2*x^2 - 10*x^3 - 8*x^4 + (-4*x^2 + 22*x^3 + 24*x^4)*Log[x] + (-2*x^2 + 11*x^3 + 12*x^4)*Log[x]^2 + (2*x + 8*x^2 + (-2*x - 8*x^2)*Log[x] + (-x - 4*x^2)*Log[x]^2)*Log[1 + 4*x])/((x + 4*x^2)*Log[x]^2),x]","x^3+x^2+\frac{2 \left(x^3+x^2+1\right)}{\log (x)}-\frac{x (\log (x)+2) \log (4 x+1)}{\log (x)}","\left(\frac{2}{\log (x)}+1\right) \left(x \left(x^2+x-\log (4 x+1)\right)+1\right)",1,"x^2 + x^3 + (2*(1 + x^2 + x^3))/Log[x] - (x*(2 + Log[x])*Log[1 + 4*x])/Log[x]","A",1
2656,1,26,27,0.1088853,"\int \frac{2+e^{-5+x} \left(-4+4 x-x^2\right)+\left(8 x-8 x^2+2 x^3+e^x \left(8-8 x+2 x^2\right)\right) \log (x)+\left(8 x-8 x^2+2 x^3+e^x \left(4-3 x^2+x^3\right)\right) \log ^2(x)}{4-4 x+x^2} \, dx","Integrate[(2 + E^(-5 + x)*(-4 + 4*x - x^2) + (8*x - 8*x^2 + 2*x^3 + E^x*(8 - 8*x + 2*x^2))*Log[x] + (8*x - 8*x^2 + 2*x^3 + E^x*(4 - 3*x^2 + x^3))*Log[x]^2)/(4 - 4*x + x^2),x]","-e^{x-5}-\frac{2}{x-2}+x \left(x+e^x\right) \log ^2(x)","-e^{x-5}-\frac{x}{x-2}+x \left(x+e^x\right) \log ^2(x)",1,"-E^(-5 + x) - 2/(-2 + x) + x*(E^x + x)*Log[x]^2","A",1
2657,1,28,33,0.0722279,"\int \frac{e^{2+\frac{2 x^2}{e^2}}+e^2 \left(-6+42 x+14 x^2\right)+e^{\frac{x^2}{e^2}} \left(e^2 (-1-14 x)-10 x^2+10 x^3\right)}{5 e^{2+\frac{2 x^2}{e^2}}+e^{2+\frac{x^2}{e^2}} (-30-20 x)+e^2 \left(45+60 x+20 x^2\right)} \, dx","Integrate[(E^(2 + (2*x^2)/E^2) + E^2*(-6 + 42*x + 14*x^2) + E^(x^2/E^2)*(E^2*(-1 - 14*x) - 10*x^2 + 10*x^3))/(5*E^(2 + (2*x^2)/E^2) + E^(2 + x^2/E^2)*(-30 - 20*x) + E^2*(45 + 60*x + 20*x^2)),x]","\frac{1}{5} \left(x-\frac{5 (x-1) x}{e^{\frac{x^2}{e^2}}-2 x-3}\right)","\frac{x}{5}-\frac{x-x^2}{-e^{\frac{x^2}{e^2}}+2 x+3}",1,"(x - (5*(-1 + x)*x)/(-3 + E^(x^2/E^2) - 2*x))/5","A",1
2658,1,46,24,0.4786755,"\int \frac{e^x \left(-3+x+x^2\right)-4 e^{2 x} \log (3)}{18 x^2+12 x^3+2 x^4+e^x \left(144 x+96 x^2+16 x^3\right) \log (3)+e^{2 x} \left(288+192 x+32 x^2\right) \log ^2(3)} \, dx","Integrate[(E^x*(-3 + x + x^2) - 4*E^(2*x)*Log[3])/(18*x^2 + 12*x^3 + 2*x^4 + E^x*(144*x + 96*x^2 + 16*x^3)*Log[3] + E^(2*x)*(288 + 192*x + 32*x^2)*Log[3]^2),x]","\frac{e^x \left(x^2 \log (81)+x \log (6561)-\log (531441)\right)}{2 (x-1) (x+3)^2 \log (81) \left(x+e^x \log (81)\right)}","\frac{1}{8 (x+3) \left(\frac{e^{-x} x}{4}+\log (3)\right)}",1,"(E^x*(x^2*Log[81] + x*Log[6561] - Log[531441]))/(2*(-1 + x)*(3 + x)^2*Log[81]*(x + E^x*Log[81]))","A",1
2659,1,13,14,0.1079582,"\int \frac{e^x (2+4 x)+(1+2 x)^x (2 x+(1+2 x) \log (1+2 x))}{1+2 x} \, dx","Integrate[(E^x*(2 + 4*x) + (1 + 2*x)^x*(2*x + (1 + 2*x)*Log[1 + 2*x]))/(1 + 2*x),x]","(2 x+1)^x+2 e^x","(2 x+1)^x+2 e^x+3",1,"2*E^x + (1 + 2*x)^x","A",1
2660,1,77,35,0.3579829,"\int \frac{\left(8 x^4-x^5-6 x^6-x^7+\left(8 x^3-4 x^4-4 x^5\right) \log (3+x)+\left(-3 x^3+2 x^4+x^5\right) \log ^2(3+x)\right) \log ^3\left(-x+x^2\right)+e^{\frac{6}{x^2 \log ^2\left(-x+x^2\right)}} \left(-36+24 x+84 x^2+24 x^3+\left(-36-12 x+36 x^2+12 x^3\right) \log \left(-x+x^2\right)+\left(-3 x^3+2 x^4+x^5\right) \log ^3\left(-x+x^2\right)\right)+e^{\frac{3}{x^2 \log ^2\left(-x+x^2\right)}} \left(36 x-24 x^2-84 x^3-24 x^4+\left(36-24 x-84 x^2-24 x^3\right) \log (3+x)+\left(36 x+12 x^2-36 x^3-12 x^4+\left(36+12 x-36 x^2-12 x^3\right) \log (3+x)\right) \log \left(-x+x^2\right)+\left(-8 x^3+4 x^4+4 x^5+\left(6 x^3-4 x^4-2 x^5\right) \log (3+x)\right) \log ^3\left(-x+x^2\right)\right)}{\left(-3 x^3-4 x^4+2 x^5+4 x^6+x^7\right) \log ^3\left(-x+x^2\right)} \, dx","Integrate[((8*x^4 - x^5 - 6*x^6 - x^7 + (8*x^3 - 4*x^4 - 4*x^5)*Log[3 + x] + (-3*x^3 + 2*x^4 + x^5)*Log[3 + x]^2)*Log[-x + x^2]^3 + E^(6/(x^2*Log[-x + x^2]^2))*(-36 + 24*x + 84*x^2 + 24*x^3 + (-36 - 12*x + 36*x^2 + 12*x^3)*Log[-x + x^2] + (-3*x^3 + 2*x^4 + x^5)*Log[-x + x^2]^3) + E^(3/(x^2*Log[-x + x^2]^2))*(36*x - 24*x^2 - 84*x^3 - 24*x^4 + (36 - 24*x - 84*x^2 - 24*x^3)*Log[3 + x] + (36*x + 12*x^2 - 36*x^3 - 12*x^4 + (36 + 12*x - 36*x^2 - 12*x^3)*Log[3 + x])*Log[-x + x^2] + (-8*x^3 + 4*x^4 + 4*x^5 + (6*x^3 - 4*x^4 - 2*x^5)*Log[3 + x])*Log[-x + x^2]^3))/((-3*x^3 - 4*x^4 + 2*x^5 + 4*x^6 + x^7)*Log[-x + x^2]^3),x]","-\frac{x^2-2 x e^{\frac{3}{x^2 \log ^2((x-1) x)}}+e^{\frac{6}{x^2 \log ^2((x-1) x)}}-2 \left(e^{\frac{3}{x^2 \log ^2((x-1) x)}}-x\right) \log (x+3)+x+\log ^2(x+3)+1}{x+1}","\frac{\left(-e^{\frac{3}{x^2 \log ^2\left(x^2-x\right)}}+x+\log (x+3)\right)^2}{-x-1}",1,"-((1 + E^(6/(x^2*Log[(-1 + x)*x]^2)) + x - 2*E^(3/(x^2*Log[(-1 + x)*x]^2))*x + x^2 - 2*(E^(3/(x^2*Log[(-1 + x)*x]^2)) - x)*Log[3 + x] + Log[3 + x]^2)/(1 + x))","B",1
2661,1,23,29,0.0023542,"\int \frac{1}{5} \left(20+120 x-42 x^2-45 x^2 \log (x)\right) \, dx","Integrate[(20 + 120*x - 42*x^2 - 45*x^2*Log[x])/5,x]","-\frac{9 x^3}{5}-3 x^3 \log (x)+12 x^2+4 x","-\left(x \left(3 x^2 \left(-\frac{4}{x}+\log (x)+\frac{3}{5}\right)-5\right)\right)-x+e^2+4",1,"4*x + 12*x^2 - (9*x^3)/5 - 3*x^3*Log[x]","A",1
2662,1,24,25,0.1375014,"\int \frac{-e^4-x+\left(-e^4-x\right) \log (x)+e^4 \log (x) \log (2 x \log (x))+\left(\left(-e^8-2 e^4 x-x^2\right) \log (x)+x^x \left(\left(e^8+2 e^4 x+x^2\right) \log (x)+\left(e^8+2 e^4 x+x^2\right) \log ^2(x)\right)\right) \log ^2(2 x \log (x))}{\left(e^8+2 e^4 x+x^2\right) \log (x) \log ^2(2 x \log (x))} \, dx","Integrate[(-E^4 - x + (-E^4 - x)*Log[x] + E^4*Log[x]*Log[2*x*Log[x]] + ((-E^8 - 2*E^4*x - x^2)*Log[x] + x^x*((E^8 + 2*E^4*x + x^2)*Log[x] + (E^8 + 2*E^4*x + x^2)*Log[x]^2))*Log[2*x*Log[x]]^2)/((E^8 + 2*E^4*x + x^2)*Log[x]*Log[2*x*Log[x]]^2),x]","x^x-x+\frac{x}{\left(x+e^4\right) \log (2 x \log (x))}","x^x-x+\frac{x}{\left(x+e^4\right) \log (2 x \log (x))}-4",1,"-x + x^x + x/((E^4 + x)*Log[2*x*Log[x]])","A",1
2663,1,28,22,0.1068959,"\int \frac{-12 x^2+3 x^3+e \left(-12 x^2+3 x^3\right)+\left(24 x-6 x^2+e \left(12 x-3 x^2\right)\right) \log (-4+x)+(-12+3 x) \log ^2(-4+x)+\left(12 x^2-3 x^3+e \left(9 x^2-3 x^3\right)+\left(-24 x+6 x^2+e \left(-24 x+6 x^2\right)\right) \log (-4+x)+(12-3 x) \log ^2(-4+x)\right) \log (x)}{\left(-4 x^2+x^3+\left(8 x-2 x^2\right) \log (-4+x)+(-4+x) \log ^2(-4+x)\right) \log ^2(x)} \, dx","Integrate[(-12*x^2 + 3*x^3 + E*(-12*x^2 + 3*x^3) + (24*x - 6*x^2 + E*(12*x - 3*x^2))*Log[-4 + x] + (-12 + 3*x)*Log[-4 + x]^2 + (12*x^2 - 3*x^3 + E*(9*x^2 - 3*x^3) + (-24*x + 6*x^2 + E*(-24*x + 6*x^2))*Log[-4 + x] + (12 - 3*x)*Log[-4 + x]^2)*Log[x])/((-4*x^2 + x^3 + (8*x - 2*x^2)*Log[-4 + x] + (-4 + x)*Log[-4 + x]^2)*Log[x]^2),x]","-\frac{3 x (e x+x-\log (x-4))}{(x-\log (x-4)) \log (x)}","\frac{3 x \left(\frac{e x}{\log (x-4)-x}-1\right)}{\log (x)}",1,"(-3*x*(x + E*x - Log[-4 + x]))/((x - Log[-4 + x])*Log[x])","A",1
2664,1,32,29,0.9546246,"\int \frac{\exp \left(10+5 e^3+5 e^{10}+\frac{e^{10+5 e^3+5 e^{10}-10 e^5 x^2+5 x^4}}{2 x}-10 e^5 x^2+5 x^4\right) \left(-1-20 e^5 x^2+20 x^4\right)}{2 x^2} \, dx","Integrate[(E^(10 + 5*E^3 + 5*E^10 + E^(10 + 5*E^3 + 5*E^10 - 10*E^5*x^2 + 5*x^4)/(2*x) - 10*E^5*x^2 + 5*x^4)*(-1 - 20*E^5*x^2 + 20*x^4))/(2*x^2),x]","e^{\frac{e^{5 \left(x^4-2 e^5 x^2+e^{10}+e^3+2\right)}}{2 x}}","e^{\frac{e^{5 \left(\left(x^2-e^5\right)^2+e^3+2\right)}}{2 x}}",1,"E^(E^(5*(2 + E^3 + E^10 - 2*E^5*x^2 + x^4))/(2*x))","A",1
2665,1,40,30,0.0736606,"\int \frac{-20 x^2+\left(6 x-3 x^2-x^4\right) \log (4 x)+\left(-100+10 x^2 \log (4 x)\right) \log \left(\log ^2(4 x)\right)+75 \log (4 x) \log ^2\left(\log ^2(4 x)\right)}{x^4 \log (4 x)} \, dx","Integrate[(-20*x^2 + (6*x - 3*x^2 - x^4)*Log[4*x] + (-100 + 10*x^2*Log[4*x])*Log[Log[4*x]^2] + 75*Log[4*x]*Log[Log[4*x]^2]^2)/(x^4*Log[4*x]),x]","-\frac{25 \log ^2\left(\log ^2(4 x)\right)}{x^3}-\frac{3}{x^2}-x+\frac{3}{x}-\frac{10 \log \left(\log ^2(4 x)\right)}{x}","\frac{x-\frac{3}{x}-\left(x+\frac{5 \log \left(\log ^2(4 x)\right)}{x}\right)^2+3}{x}",1,"-3/x^2 + 3/x - x - (10*Log[Log[4*x]^2])/x - (25*Log[Log[4*x]^2]^2)/x^3","A",1
2666,1,78,32,0.1457468,"\int \frac{-27+117 x+9 x^2-15 x^3+e^8 \left(-9+33 x-10 x^2-3 x^3+x^4\right)+\left(-3 x+9 x^2+3 x^3\right) \log \left(-x^3+3 x^4+x^5\right)}{e^8 \left(-9 x+33 x^2-10 x^3-3 x^4+x^5\right)} \, dx","Integrate[(-27 + 117*x + 9*x^2 - 15*x^3 + E^8*(-9 + 33*x - 10*x^2 - 3*x^3 + x^4) + (-3*x + 9*x^2 + 3*x^3)*Log[-x^3 + 3*x^4 + x^5])/(E^8*(-9*x + 33*x^2 - 10*x^3 - 3*x^4 + x^5)),x]","-\frac{3 \log \left(x^3 \left(x^2+3 x-1\right)\right)}{e^8 (x-3)}+\frac{3 \left(9+\sqrt{13}\right) \log \left(-2 x+\sqrt{13}-3\right)}{34 e^8}+\log (x)-\frac{3 \left(9+\sqrt{13}\right) \log \left(2 x-\sqrt{13}+3\right)}{34 e^8}","\frac{\log \left(x^2 \left(x^2 (x+3)-x\right)\right)}{e^8 \left(1-\frac{x}{3}\right)}+\log (x)",1,"(3*(9 + Sqrt[13])*Log[-3 + Sqrt[13] - 2*x])/(34*E^8) + Log[x] - (3*(9 + Sqrt[13])*Log[3 - Sqrt[13] + 2*x])/(34*E^8) - (3*Log[x^3*(-1 + 3*x + x^2)])/(E^8*(-3 + x))","B",1
2667,1,25,25,0.0750791,"\int \frac{e^{-x} \left(2-4 x-20 e^x x-x \log \left(x^2\right)\right)}{4 x} \, dx","Integrate[(2 - 4*x - 20*E^x*x - x*Log[x^2])/(4*E^x*x),x]","\frac{1}{4} \left(e^{-x} \log \left(x^2\right)-20 x+4 e^{-x}\right)","\frac{1}{4} e^{-x} \left(\log \left(x^2\right)+4\right)-5 x+7 (\log (4)-2)",1,"(4/E^x - 20*x + Log[x^2]/E^x)/4","A",1
2668,1,15,18,0.1149506,"\int \left(x^2\right)^{16 x^2+8 x^3+x^4} \left(-32 x-16 x^2-2 x^3+\left(-32 x-24 x^2-4 x^3\right) \log \left(x^2\right)\right) \, dx","Integrate[(x^2)^(16*x^2 + 8*x^3 + x^4)*(-32*x - 16*x^2 - 2*x^3 + (-32*x - 24*x^2 - 4*x^3)*Log[x^2]),x]","-\left(x^2\right)^{x^2 (x+4)^2}","\log (3)-\left(x^2\right)^{x^2 (x+4)^2}",1,"-(x^2)^(x^2*(4 + x)^2)","A",1
2669,1,25,25,0.0630457,"\int \left(15-2 x+e^{-27+24 x+3 x^2} \left(1+24 x+6 x^2\right)-8 \log (x)+\log ^2(x)\right) \, dx","Integrate[15 - 2*x + E^(-27 + 24*x + 3*x^2)*(1 + 24*x + 6*x^2) - 8*Log[x] + Log[x]^2,x]","x \left(e^{3 x (x+8)-27}-x+\log ^2(x)-10 \log (x)+25\right)","x \left(e^{3 \left((x+4)^2-25\right)}-x+(5-\log (x))^2\right)",1,"x*(25 + E^(-27 + 3*x*(8 + x)) - x - 10*Log[x] + Log[x]^2)","A",1
2670,1,17,20,0.0163254,"\int \frac{1}{625} \left(1875+e^{\frac{1}{625} \left(6400+1120 x+49 x^2\right)} (1120+98 x)\right) \, dx","Integrate[(1875 + E^((6400 + 1120*x + 49*x^2)/625)*(1120 + 98*x))/625,x]","3 x+e^{\frac{1}{625} (7 x+80)^2}","3 x+e^{\frac{1}{25} \left(-\frac{7 x}{5}-16\right)^2}+3",1,"E^((80 + 7*x)^2/625) + 3*x","A",1
2671,1,35,38,0.2726433,"\int \frac{e^{-4+2 e^x+2 x+4 x^2} (3-3 x)+2 x-x^2-2 e^x x^2-9 x^3+\left(-3 e^{-4+2 e^x+2 x+4 x^2}-x^2\right) \log \left(e^{4-2 e^x-2 x-4 x^2} \left(3 e^{-4+2 e^x+2 x+4 x^2}+x^2\right)\right)}{3 e^{-4+2 e^x+3 x+4 x^2}+e^x x^2} \, dx","Integrate[(E^(-4 + 2*E^x + 2*x + 4*x^2)*(3 - 3*x) + 2*x - x^2 - 2*E^x*x^2 - 9*x^3 + (-3*E^(-4 + 2*E^x + 2*x + 4*x^2) - x^2)*Log[E^(4 - 2*E^x - 2*x - 4*x^2)*(3*E^(-4 + 2*E^x + 2*x + 4*x^2) + x^2)])/(3*E^(-4 + 2*E^x + 3*x + 4*x^2) + E^x*x^2),x]","e^{-x} \left(\log \left(e^{-2 \left(2 x^2+x+e^x-2\right)} x^2+3\right)+x+2 e^x\right)","e^{-x} \left(\log \left(e^{-2 \left(2 x-\frac{2}{x}\right) x-2 x-2 e^x} x^2+3\right)+x\right)",1,"(2*E^x + x + Log[3 + x^2/E^(2*(-2 + E^x + x + 2*x^2))])/E^x","A",1
2672,1,24,24,0.3198856,"\int \frac{1}{2} e^{-3+\left(-5 e^{x/2} x+20 x^5\right) \log (x)} \left(-10 e^{x/2}+40 x^4+\left(e^{x/2} (-10-5 x)+200 x^4\right) \log (x)\right) \, dx","Integrate[(E^(-3 + (-5*E^(x/2)*x + 20*x^5)*Log[x])*(-10*E^(x/2) + 40*x^4 + (E^(x/2)*(-10 - 5*x) + 200*x^4)*Log[x]))/2,x]","\frac{x^{5 x \left(4 x^4-e^{x/2}\right)}}{e^3}","e^{5 x \left(4 x^4-e^{x/2}\right) \log (x)-3}",1,"x^(5*x*(-E^(x/2) + 4*x^4))/E^3","A",1
2673,1,14,20,0.0096819,"\int \frac{8 x+(5+48 x) \log (4)}{5 x \log (4)} \, dx","Integrate[(8*x + (5 + 48*x)*Log[4])/(5*x*Log[4]),x]","\frac{8}{5} x \left(6+\frac{1}{\log (4)}\right)+\log (x)","8 \left(x+\frac{1}{5} \left(x+\frac{x}{\log (4)}\right)\right)+\log (x)-1",1,"(8*x*(6 + Log[4]^(-1)))/5 + Log[x]","A",1
2674,1,19,18,0.0709222,"\int \frac{-4+x^2+e^x \left(-4-4 x+x^2-x^3\right)}{4 x+x^3+e^x \left(4 x+x^3\right)} \, dx","Integrate[(-4 + x^2 + E^x*(-4 - 4*x + x^2 - x^3))/(4*x + x^3 + E^x*(4*x + x^3)),x]","\log \left(x^2+4\right)-\log \left(e^x+1\right)-\log (x)","\log \left(\frac{x+\frac{4}{x}}{e^x+1}\right)+9",1,"-Log[1 + E^x] - Log[x] + Log[4 + x^2]","A",1
2675,1,19,18,0.0075076,"\int \frac{-2 x+(-11+2 x) \log (3)}{\log (3)} \, dx","Integrate[(-2*x + (-11 + 2*x)*Log[3])/Log[3],x]","\frac{x^2 (\log (9)-2)}{2 \log (3)}-11 x","-\frac{x^2}{\log (3)}+(x-5)^2-x",1,"-11*x + (x^2*(-2 + Log[9]))/(2*Log[3])","A",1
2676,1,11,13,0.0322072,"\int \frac{8+(3+8 x) \log (-12-32 x)}{(3+8 x) \log (-12-32 x)} \, dx","Integrate[(8 + (3 + 8*x)*Log[-12 - 32*x])/((3 + 8*x)*Log[-12 - 32*x]),x]","x+\log (\log (-4 (8 x+3)))","x+\log \left(\log \left(16 \left(-2 x-\frac{3}{4}\right)\right)\right)",1,"x + Log[Log[-4*(3 + 8*x)]]","A",1
2677,1,21,12,0.0082157,"\int \frac{5-6 x^2+2 x^3}{-5 x+9 x^2-6 x^3+x^4} \, dx","Integrate[(5 - 6*x^2 + 2*x^3)/(-5*x + 9*x^2 - 6*x^3 + x^4),x]","\log \left(-x^3+6 x^2-9 x+5\right)-\log (x)","\log \left((x-3)^2-\frac{5}{x}\right)",1,"-Log[x] + Log[5 - 9*x + 6*x^2 - x^3]","A",1
2678,1,20,20,0.2566615,"\int \left(-15-5 e^x+5 x^2+\left(-3-e^x+x^2\right) \log (x)+\left(-18+e^x (-6-5 x)+16 x^2+\left(-3+e^x (-1-x)+3 x^2\right) \log (x)\right) \log (2 x)\right) \, dx","Integrate[-15 - 5*E^x + 5*x^2 + (-3 - E^x + x^2)*Log[x] + (-18 + E^x*(-6 - 5*x) + 16*x^2 + (-3 + E^x*(-1 - x) + 3*x^2)*Log[x])*Log[2*x],x]","x \left(x^2-e^x-3\right) (\log (x)+5) \log (2 x)","x \left(x^2-e^x-3\right) (\log (x)+5) \log (2 x)",1,"x*(-3 - E^x + x^2)*(5 + Log[x])*Log[2*x]","A",1
2679,1,23,28,0.0117571,"\int \frac{25+305 x+191 x^2-71 x^3-52 x^4-6 x^5}{25 x+10 x^2+x^3} \, dx","Integrate[(25 + 305*x + 191*x^2 - 71*x^3 - 52*x^4 - 6*x^5)/(25*x + 10*x^2 + x^3),x]","-2 x^3+4 x^2-x-\frac{320}{x+5}+\log (x)","x+\log \left(e^{\frac{2 (3-x) x (x+3)^2}{x+5}+4} x\right)-5",1,"-x + 4*x^2 - 2*x^3 - 320/(5 + x) + Log[x]","A",1
2680,1,86,34,0.1429724,"\int \frac{12 x-12 x^2-12 x^3+24 x^4-12 x^5+\left(-12+12 x+24 x^2-48 x^3+24 x^4\right) \log (2)+\left(-12 x+24 x^2-12 x^3\right) \log ^2(2)+\left(-16+44 x-40 x^2+44 x^3-40 x^4+12 x^5+\left(-16+44 x-88 x^2+80 x^3-24 x^4\right) \log (2)+\left(-16+44 x-40 x^2+12 x^3\right) \log ^2(2)\right) \log \left(\frac{1}{2} (4-3 x)\right)}{\left(-4 x^2+11 x^3-10 x^4+3 x^5+\left(8 x-22 x^2+20 x^3-6 x^4\right) \log (2)+\left(-4+11 x-10 x^2+3 x^3\right) \log ^2(2)\right) \log ^2\left(\frac{1}{2} (4-3 x)\right)} \, dx","Integrate[(12*x - 12*x^2 - 12*x^3 + 24*x^4 - 12*x^5 + (-12 + 12*x + 24*x^2 - 48*x^3 + 24*x^4)*Log[2] + (-12*x + 24*x^2 - 12*x^3)*Log[2]^2 + (-16 + 44*x - 40*x^2 + 44*x^3 - 40*x^4 + 12*x^5 + (-16 + 44*x - 88*x^2 + 80*x^3 - 24*x^4)*Log[2] + (-16 + 44*x - 40*x^2 + 12*x^3)*Log[2]^2)*Log[(4 - 3*x)/2])/((-4*x^2 + 11*x^3 - 10*x^4 + 3*x^5 + (8*x - 22*x^2 + 20*x^3 - 6*x^4)*Log[2] + (-4 + 11*x - 10*x^2 + 3*x^3)*Log[2]^2)*Log[(4 - 3*x)/2]^2),x]","\frac{4 \left(3 x^5-x^4 (6+\log (64))+3 x^3 \left(1+\log ^2(2)+\log (16)\right)-x^2 \left(-3+6 \log ^2(2)+\log (64)\right)+x \left(-3+3 \log ^2(2)-\log (8)\right)+\log (8)\right)}{3 (x-1)^2 (x-\log (2))^2 \log \left(2-\frac{3 x}{2}\right)}","\frac{4 \left(x-\frac{x}{\left(x^2-x\right) (\log (2)-x)}\right)}{\log \left(2-\frac{3 x}{2}\right)}",1,"(4*(3*x^5 + x*(-3 + 3*Log[2]^2 - Log[8]) + Log[8] + 3*x^3*(1 + Log[2]^2 + Log[16]) - x^4*(6 + Log[64]) - x^2*(-3 + 6*Log[2]^2 + Log[64])))/(3*(-1 + x)^2*(x - Log[2])^2*Log[2 - (3*x)/2])","B",1
2681,1,29,29,0.0785402,"\int \frac{2 x^2 \log (12)+\left(2 x^2+\left(-4 x+x^2\right) \log (12)\right) \log (x)+\left(-2 x^2+(2-2 x) \log (12)\right) \log ^2(x)+\log (12) \log ^3(x)+\left(x^2 \log (12) \log (x)-2 x \log (12) \log ^2(x)+\log (12) \log ^3(x)\right) \log \left(\frac{5}{x \log ^2(x)}\right)}{x^4 \log (x)-2 x^3 \log ^2(x)+x^2 \log ^3(x)} \, dx","Integrate[(2*x^2*Log[12] + (2*x^2 + (-4*x + x^2)*Log[12])*Log[x] + (-2*x^2 + (2 - 2*x)*Log[12])*Log[x]^2 + Log[12]*Log[x]^3 + (x^2*Log[12]*Log[x] - 2*x*Log[12]*Log[x]^2 + Log[12]*Log[x]^3)*Log[5/(x*Log[x]^2)])/(x^4*Log[x] - 2*x^3*Log[x]^2 + x^2*Log[x]^3),x]","\frac{2 x}{x-\log (x)}-\frac{\log (12) \log \left(\frac{5}{x \log ^2(x)}\right)}{x}","\frac{2 x}{x-\log (x)}-\frac{\log (12) \log \left(\frac{5}{x \log ^2(x)}\right)}{x}",1,"(2*x)/(x - Log[x]) - (Log[12]*Log[5/(x*Log[x]^2)])/x","A",1
2682,1,30,29,0.2772969,"\int e^{-e^{2+e^4}-x+4 x \log (x)-8 e^2 x \log ^2(x)} \left(3+\left(4-16 e^2\right) \log (x)-8 e^2 \log ^2(x)\right) \, dx","Integrate[E^(-E^(2 + E^4) - x + 4*x*Log[x] - 8*E^2*x*Log[x]^2)*(3 + (4 - 16*E^2)*Log[x] - 8*E^2*Log[x]^2),x]","e^{-x-8 e^2 x \log ^2(x)+4 x \log (x)-e^{2+e^4}}","\exp \left(-x+4 \log (x) \left(x-2 e^2 x \log (x)\right)-e^{2+e^4}\right)",1,"E^(-E^(2 + E^4) - x + 4*x*Log[x] - 8*E^2*x*Log[x]^2)","A",1
2683,1,12,10,0.0039539,"\int \frac{1+128 x+32 x^2}{4+x} \, dx","Integrate[(1 + 128*x + 32*x^2)/(4 + x),x]","16 \left(x^2-16\right)+\log (x+4)","16 x^2+\log (x+4)",1,"16*(-16 + x^2) + Log[4 + x]","A",1
2684,1,26,33,0.0113035,"\int \frac{-104+52 x-2 x^2-160 x^3+80 x^4-10 x^5}{16 x^2-8 x^3+x^4} \, dx","Integrate[(-104 + 52*x - 2*x^2 - 160*x^3 + 80*x^4 - 10*x^5)/(16*x^2 - 8*x^3 + x^4),x]","-2 \left(\frac{5 x^2}{2}+\frac{9}{4 (x-4)}-\frac{13}{4 x}\right)","\frac{x \left(1-5 x^2\right)+3}{x}+\frac{x+14}{(4-x) x}+e^3",1,"-2*(9/(4*(-4 + x)) - 13/(4*x) + (5*x^2)/2)","A",1
2685,1,24,26,0.0322746,"\int \frac{e^5+e^{\frac{3+x}{e}} (-e-x)+e \left(2-4 x+4 x^3\right)}{e} \, dx","Integrate[(E^5 + E^((3 + x)/E)*(-E - x) + E*(2 - 4*x + 4*x^3))/E,x]","x \left(x^3-2 x-e^{\frac{x+3}{e}}+e^4+2\right)","x \left(x^3-2 x-e^{\frac{x+3}{e}}+e^4+2\right)+2",1,"x*(2 + E^4 - E^((3 + x)/E) - 2*x + x^3)","A",1
2686,1,101,25,0.0522894,"\int \frac{180+72 x+4 e^{8+2 x^2} x+e^8 (168+72 x)+e^4 (348+144 x)+e^{x^2} \left(e^4 \left(-12-60 x-24 x^2\right)+e^8 \left(-12-56 x-24 x^2\right)\right)}{9+18 e^4+9 e^8} \, dx","Integrate[(180 + 72*x + 4*E^(8 + 2*x^2)*x + E^8*(168 + 72*x) + E^4*(348 + 144*x) + E^x^2*(E^4*(-12 - 60*x - 24*x^2) + E^8*(-12 - 56*x - 24*x^2)))/(9 + 18*E^4 + 9*E^8),x]","\frac{4 \left(9 e^8 x^2+18 e^4 x^2+9 x^2-3 e^{x^2+4} x-3 e^{x^2+8} x-\frac{15 e^{x^2+4}}{2}-7 e^{x^2+8}+\frac{1}{4} e^{2 x^2+8}+42 e^8 x+87 e^4 x+45 x\right)}{9 \left(1+e^4\right)^2}","\left(-\frac{e^{x^2}+1}{3 \left(1+\frac{1}{e^4}\right)}+2 x+5\right)^2",1,"(4*((-15*E^(4 + x^2))/2 - 7*E^(8 + x^2) + E^(8 + 2*x^2)/4 + 45*x + 87*E^4*x + 42*E^8*x - 3*E^(4 + x^2)*x - 3*E^(8 + x^2)*x + 9*x^2 + 18*E^4*x^2 + 9*E^8*x^2))/(9*(1 + E^4)^2)","B",1
2687,1,31,28,0.0364265,"\int \frac{97200-145800 x+8100 x^2-450 x^3+e^x \left(-87480-14580 x+12150 x^2+405 x^3-540 x^4+45 x^5\right)}{-1944-324 x+270 x^2+9 x^3-12 x^4+x^5} \, dx","Integrate[(97200 - 145800*x + 8100*x^2 - 450*x^3 + E^x*(-87480 - 14580*x + 12150*x^2 + 405*x^3 - 540*x^4 + 45*x^5))/(-1944 - 324*x + 270*x^2 + 9*x^3 - 12*x^4 + x^5),x]","45 \left(e^x+\frac{170}{9 (x+3)}-\frac{80}{9 (x-6)}+\frac{80}{(x-6)^2}\right)","45 \left(\frac{5 \left(\frac{9}{\left(\frac{x+2}{4}-2\right)^2}+2\right)}{x+3}+e^x\right)",1,"45*(E^x + 80/(-6 + x)^2 - 80/(9*(-6 + x)) + 170/(9*(3 + x)))","A",1
2688,1,27,27,0.085193,"\int x^{-3+\frac{1-x}{x^2}} \left(e^{5 e^4+x-e^4 x \log (2)} \left(1-x+x^3-e^4 x^3 \log (2)\right)+e^{5 e^4+x-e^4 x \log (2)} (-2+x) \log (x)\right) \, dx","Integrate[x^(-3 + (1 - x)/x^2)*(E^(5*E^4 + x - E^4*x*Log[2])*(1 - x + x^3 - E^4*x^3*Log[2]) + E^(5*E^4 + x - E^4*x*Log[2])*(-2 + x)*Log[x]),x]","x^{\frac{1-x}{x^2}} e^{x+e^4 (5-x \log (2))}","x^{\frac{1-x}{x^2}} e^{x-e^4 (x \log (2)-5)}",1,"E^(x + E^4*(5 - x*Log[2]))*x^((1 - x)/x^2)","A",1
2689,1,20,25,0.3115497,"\int \frac{e^{-2 x} \left(e^{2 x} x^2+e^{\frac{e^{-2 x} \left(2 e^{2 x}-x^3\right)}{x}} \left(-2 e^{2 x}-2 x^3+2 x^4\right)\right)}{x^2} \, dx","Integrate[(E^(2*x)*x^2 + E^((2*E^(2*x) - x^3)/(E^(2*x)*x))*(-2*E^(2*x) - 2*x^3 + 2*x^4))/(E^(2*x)*x^2),x]","e^{\frac{2}{x}-e^{-2 x} x^2}+x","e^{\frac{2 x-e^{-2 x} x^4}{x^2}}+x+e^2",1,"E^(2/x - x^2/E^(2*x)) + x","A",1
2690,1,12,18,0.0000718,"\int \left(-3+6 x^2+4 x^3\right) \, dx","Integrate[-3 + 6*x^2 + 4*x^3,x]","x^4+2 x^3-3 x","-x^2+\left(x^2+x\right)^2-3 x+\log (3)",1,"-3*x + 2*x^3 + x^4","A",1
2691,1,29,32,0.0798435,"\int \frac{-32 x^4+\left(8 x^2+80 x^4\right) \log (x)-24 x^2 \log ^2(x)+\left(-4+e^x\right) \log ^3(x)}{2 \log ^3(x)} \, dx","Integrate[(-32*x^4 + (8*x^2 + 80*x^4)*Log[x] - 24*x^2*Log[x]^2 + (-4 + E^x)*Log[x]^3)/(2*Log[x]^3),x]","\frac{1}{2} \left(\frac{16 x^5}{\log ^2(x)}-\frac{8 x^3}{\log (x)}-4 x+e^x\right)","\frac{1}{2} x \left(\left(\frac{4 x^2}{\log (x)}-1\right)^2-\frac{x-e^x}{x}-4\right)",1,"(E^x - 4*x + (16*x^5)/Log[x]^2 - (8*x^3)/Log[x])/2","A",1
2692,1,15,17,0.0102497,"\int -\frac{64 e^{\frac{32}{-45 x^2+18 x^2 \log (3)}}}{-45 x^3+18 x^3 \log (3)} \, dx","Integrate[(-64*E^(32/(-45*x^2 + 18*x^2*Log[3])))/(-45*x^3 + 18*x^3*Log[3]),x]","e^{\frac{32}{9 x^2 (\log (9)-5)}}","e^{\frac{16}{9 x^2 \left(\log (3)-\frac{5}{2}\right)}}",1,"E^(32/(9*x^2*(-5 + Log[9])))","A",1
2693,1,32,32,0.0867585,"\int \frac{\exp \left(\frac{-4 x-x^3}{40-3 x-11 x^2+2 x^3-5 x^4+x^5+(-5+x) \log (5)}\right) \left(-160-164 x^2+22 x^3-49 x^4+16 x^5-5 x^6+2 x^7+\left(20+15 x^2-2 x^3\right) \log (5)\right)}{1600-240 x-871 x^2+226 x^3-291 x^4+66 x^5+108 x^6-42 x^7+29 x^8-10 x^9+x^{10}+\left(-400+110 x+104 x^2-42 x^3+54 x^4-20 x^5+2 x^6\right) \log (5)+\left(25-10 x+x^2\right) \log ^2(5)} \, dx","Integrate[(E^((-4*x - x^3)/(40 - 3*x - 11*x^2 + 2*x^3 - 5*x^4 + x^5 + (-5 + x)*Log[5]))*(-160 - 164*x^2 + 22*x^3 - 49*x^4 + 16*x^5 - 5*x^6 + 2*x^7 + (20 + 15*x^2 - 2*x^3)*Log[5]))/(1600 - 240*x - 871*x^2 + 226*x^3 - 291*x^4 + 66*x^5 + 108*x^6 - 42*x^7 + 29*x^8 - 10*x^9 + x^10 + (-400 + 110*x + 104*x^2 - 42*x^3 + 54*x^4 - 20*x^5 + 2*x^6)*Log[5] + (25 - 10*x + x^2)*Log[5]^2),x]","\exp \left(-\frac{x \left(x^2+4\right)}{(x-5) \left(x^4+2 x^2-x-8+\log (5)\right)}\right)","e^{\frac{x}{(5-x) \left(x^2+\frac{\log (5)-x}{x^2+4}-2\right)}}",1,"E^(-((x*(4 + x^2))/((-5 + x)*(-8 - x + 2*x^2 + x^4 + Log[5]))))","A",1
2694,1,19,21,0.0738058,"\int \frac{-80 \log \left(\frac{1}{2 x}\right)+\left(80-80 \log \left(\frac{1}{2 x}\right)\right) \log (x)+\left(20-20 \log \left(\frac{1}{2 x}\right)\right) \log ^2(x)}{16+8 \log (x)+\log ^2(x)} \, dx","Integrate[(-80*Log[1/(2*x)] + (80 - 80*Log[1/(2*x)])*Log[x] + (20 - 20*Log[1/(2*x)])*Log[x]^2)/(16 + 8*Log[x] + Log[x]^2),x]","-\frac{20 x \log \left(\frac{1}{2 x}\right) \log (x)}{\log (x)+4}","24-\frac{20 x \log \left(\frac{1}{2 x}\right) \log (x)}{\log (x)+4}",1,"(-20*x*Log[1/(2*x)]*Log[x])/(4 + Log[x])","A",1
2695,1,23,26,0.188717,"\int \frac{-8 x^7+4 x^8+6 x^9-5 x^{10}+x^{11}+e^{\frac{256+32 x+x^2}{4 x^6-4 x^7+x^8}} \left(-8 x^7+12 x^8-6 x^9+x^{10}\right)+e^{\frac{256+32 x+x^2}{4 x^6-4 x^7+x^8}} \left(3072+1344 x-1944 x^2-222 x^3-6 x^4\right) \log (1+x)}{-8 x^7+4 x^8+6 x^9-5 x^{10}+x^{11}} \, dx","Integrate[(-8*x^7 + 4*x^8 + 6*x^9 - 5*x^10 + x^11 + E^((256 + 32*x + x^2)/(4*x^6 - 4*x^7 + x^8))*(-8*x^7 + 12*x^8 - 6*x^9 + x^10) + E^((256 + 32*x + x^2)/(4*x^6 - 4*x^7 + x^8))*(3072 + 1344*x - 1944*x^2 - 222*x^3 - 6*x^4)*Log[1 + x])/(-8*x^7 + 4*x^8 + 6*x^9 - 5*x^10 + x^11),x]","e^{\frac{(x+16)^2}{(x-2)^2 x^6}} \log (x+1)+x","e^{\frac{(x+16)^2}{(2-x)^2 x^6}} \log (x+1)+x-5",1,"x + E^((16 + x)^2/((-2 + x)^2*x^6))*Log[1 + x]","A",1
2696,1,26,24,0.3399838,"\int \frac{e^{-\frac{x^2}{1+x}} \left(e^{\frac{2 e^{-\frac{x^2}{1+x}}}{\log (4)}} \left(-4 x-2 x^2\right)+e^{\frac{x^2}{1+x}} \left(-1-2 x-x^2\right) \log (4)\right)}{\left(1+2 x+x^2\right) \log (4)} \, dx","Integrate[(E^(2/(E^(x^2/(1 + x))*Log[4]))*(-4*x - 2*x^2) + E^(x^2/(1 + x))*(-1 - 2*x - x^2)*Log[4])/(E^(x^2/(1 + x))*(1 + 2*x + x^2)*Log[4]),x]","e^{\frac{2 e^{-x-\frac{1}{x+1}+1}}{\log (4)}}-x","e^{\frac{2 e^{-\frac{x^2}{x+1}}}{\log (4)}}-x",1,"E^((2*E^(1 - x - (1 + x)^(-1)))/Log[4]) - x","A",1
2697,1,34,31,0.7120838,"\int \frac{-16 x+256 \sqrt[5]{e} x-256 x^2-1024 x^3+\left(-48+768 \sqrt[5]{e}-768 x-3072 x^2\right) \log (2)+\left(-16 x+256 \sqrt[5]{e} x+1024 x^3+\left(768 x+6144 x^2\right) \log (2)\right) \log (x) \log (\log (x))}{\left(x+256 e^{2/5} x+32 x^2+384 x^3+2048 x^4+4096 x^5+\sqrt[5]{e} \left(-32 x-512 x^2-2048 x^3\right)\right) \log (2) \log (x)} \, dx","Integrate[(-16*x + 256*E^(1/5)*x - 256*x^2 - 1024*x^3 + (-48 + 768*E^(1/5) - 768*x - 3072*x^2)*Log[2] + (-16*x + 256*E^(1/5)*x + 1024*x^3 + (768*x + 6144*x^2)*Log[2])*Log[x]*Log[Log[x]])/((x + 256*E^(2/5)*x + 32*x^2 + 384*x^3 + 2048*x^4 + 4096*x^5 + E^(1/5)*(-32*x - 512*x^2 - 2048*x^3))*Log[2]*Log[x]),x]","\frac{16 (x+3 \log (2)) \log (\log (x))}{\left(-64 x^2-16 x+16 \sqrt[5]{e}-1\right) \log (2)}","\frac{\left(\frac{x}{\log (2)}+3\right) \log (\log (x))}{\sqrt[5]{e}-\left(2 x+\frac{1}{4}\right)^2}",1,"(16*(x + 3*Log[2])*Log[Log[x]])/((-1 + 16*E^(1/5) - 16*x - 64*x^2)*Log[2])","A",1
2698,1,22,22,0.1731362,"\int \frac{-1+e^4+4 e^6-\log (5)+\log (x)}{e^8+16 e^{12}+e^4 \left(8 e^6-2 x\right)-8 e^6 x+x^2+\left(-2 e^4-8 e^6+2 x\right) \log (5)+\log ^2(5)+\left(2 e^4+8 e^6-2 x-2 \log (5)\right) \log (x)+\log ^2(x)} \, dx","Integrate[(-1 + E^4 + 4*E^6 - Log[5] + Log[x])/(E^8 + 16*E^12 + E^4*(8*E^6 - 2*x) - 8*E^6*x + x^2 + (-2*E^4 - 8*E^6 + 2*x)*Log[5] + Log[5]^2 + (2*E^4 + 8*E^6 - 2*x - 2*Log[5])*Log[x] + Log[x]^2),x]","\frac{x}{-x+\log \left(\frac{x}{5}\right)+4 e^6+e^4}","\frac{x}{-x+\log (x)+4 e^6+e^4-\log (5)}",1,"x/(E^4 + 4*E^6 - x + Log[x/5])","A",1
2699,1,38,29,0.0984427,"\int \frac{500-200 x-455 x^2+200 x^3-20 x^4+e^4 \left(-190 x^2+80 x^3-8 x^4\right)+\left(-500-275 x+180 x^2-20 x^3+e^4 \left(-380 x+160 x^2-16 x^3\right)\right) \log (x)+e^4 \left(-190+80 x-8 x^2\right) \log ^2(x)}{125 x^2-50 x^3+5 x^4+e^4 \left(50 x^2-20 x^3+2 x^4\right)+\left(125 x-50 x^2+5 x^3+e^4 \left(100 x-40 x^2+4 x^3\right)\right) \log (x)+e^4 \left(50-20 x+2 x^2\right) \log ^2(x)} \, dx","Integrate[(500 - 200*x - 455*x^2 + 200*x^3 - 20*x^4 + E^4*(-190*x^2 + 80*x^3 - 8*x^4) + (-500 - 275*x + 180*x^2 - 20*x^3 + E^4*(-380*x + 160*x^2 - 16*x^3))*Log[x] + E^4*(-190 + 80*x - 8*x^2)*Log[x]^2)/(125*x^2 - 50*x^3 + 5*x^4 + E^4*(50*x^2 - 20*x^3 + 2*x^4) + (125*x - 50*x^2 + 5*x^3 + E^4*(100*x - 40*x^2 + 4*x^3))*Log[x] + E^4*(50 - 20*x + 2*x^2)*Log[x]^2),x]","-4 x-\frac{5}{x-5}+4 \log (x+\log (x))-4 \log \left(2 e^4 x+5 x+2 e^4 \log (x)\right)","\frac{x}{5-x}-4 \left(x+\log \left(\frac{5 x}{e^4 (x+\log (x))}+2\right)\right)",1,"-5/(-5 + x) - 4*x + 4*Log[x + Log[x]] - 4*Log[5*x + 2*E^4*x + 2*E^4*Log[x]]","A",1
2700,1,35,22,0.0549404,"\int \frac{-90+21 x-114 x^2-23 x^3-2 x^4-30 x \log (x)}{81 x+81 x^2+27 x^3+3 x^4} \, dx","Integrate[(-90 + 21*x - 114*x^2 - 23*x^3 - 2*x^4 - 30*x*Log[x])/(81*x + 81*x^2 + 27*x^3 + 3*x^4),x]","\frac{1}{3} \left(-2 x+\frac{15}{x+3}-\frac{120}{(x+3)^2}+\frac{15 \log (x)}{(x+3)^2}-5 \log (x)\right)","x-\left(\frac{5}{3}-\frac{5}{(-x-3)^2}\right) (x+\log (x)-5)",1,"(-2*x - 120/(3 + x)^2 + 15/(3 + x) - 5*Log[x] + (15*Log[x])/(3 + x)^2)/3","A",1
2701,1,15,17,0.0029997,"\int \frac{8 e^3 \log (2)}{64 x^2+16 x \log (2)+\log ^2(2)} \, dx","Integrate[(8*E^3*Log[2])/(64*x^2 + 16*x*Log[2] + Log[2]^2),x]","-\frac{e^3 \log (2)}{8 x+\log (2)}","\frac{e^3}{\frac{\log (2)}{8 x}+1}",1,"-((E^3*Log[2])/(8*x + Log[2]))","A",1
2702,1,30,29,1.4090251,"\int \frac{e^{-11+2 \log (x) \log (5 x)} \left(e^5 x-e^{5+\frac{x}{e^5}} x+\left(-2 e^5 x+e^{\frac{x}{e^5}} \left(2 e^5 x+x^2\right)\right) \log (x)+\left(-2 e^5 x+2 e^{5+\frac{x}{e^5}} x\right) \log ^2(x)+\left(-2 e^5 x+2 e^{5+\frac{x}{e^5}} x\right) \log (x) \log (5 x)\right)}{\log ^2(x)} \, dx","Integrate[(E^(-11 + 2*Log[x]*Log[5*x])*(E^5*x - E^(5 + x/E^5)*x + (-2*E^5*x + E^(x/E^5)*(2*E^5*x + x^2))*Log[x] + (-2*E^5*x + 2*E^(5 + x/E^5)*x)*Log[x]^2 + (-2*E^5*x + 2*E^(5 + x/E^5)*x)*Log[x]*Log[5*x]))/Log[x]^2,x]","\frac{\left(e^{\frac{x}{e^5}}-1\right) e^{2 \log ^2(x)-6} x^{2+\log (25)}}{\log (x)}","\frac{\left(e^{\frac{x}{e^5}}-1\right) x^2 e^{2 \log (x) \log (5 x)-6}}{\log (x)}",1,"(E^(-6 + 2*Log[x]^2)*(-1 + E^(x/E^5))*x^(2 + Log[25]))/Log[x]","A",1
2703,1,32,22,0.0646552,"\int \frac{1}{9} \left(8 x-6 \log (3)+108 e^{3 x} \log ^2(3)+36 e^{4 x} \log ^2(3)+e^x \left((-12-48 x) \log (3)+36 \log ^2(3)\right)+e^{2 x} \left((-6-48 x) \log (3)+108 \log ^2(3)\right)+\left(-30 x+18 \log (3)+e^{2 x} (18+36 x) \log (3)+e^x (36+36 x) \log (3)\right) \log (x)+18 x \log ^2(x)\right) \, dx","Integrate[(8*x - 6*Log[3] + 108*E^(3*x)*Log[3]^2 + 36*E^(4*x)*Log[3]^2 + E^x*((-12 - 48*x)*Log[3] + 36*Log[3]^2) + E^(2*x)*((-6 - 48*x)*Log[3] + 108*Log[3]^2) + (-30*x + 18*Log[3] + E^(2*x)*(18 + 36*x)*Log[3] + E^x*(36 + 36*x)*Log[3])*Log[x] + 18*x*Log[x]^2)/9,x]","\frac{1}{9} \left(-4 x+3 x \log (x)+e^{2 x} \log (27)+6 e^x \log (3)+\log (27)\right)^2","\left(-\frac{4 x}{3}+\left(e^x+1\right)^2 \log (3)+x \log (x)\right)^2",1,"(-4*x + 6*E^x*Log[3] + Log[27] + E^(2*x)*Log[27] + 3*x*Log[x])^2/9","A",1
2704,1,16,23,0.096881,"\int \frac{2 e^{\frac{1}{5} (-10-2 \log (x))}}{\left(-20 x+5 e^{\frac{1}{5} (-10-2 \log (x))} x\right) \log \left(4-e^{\frac{1}{5} (-10-2 \log (x))}\right)} \, dx","Integrate[(2*E^((-10 - 2*Log[x])/5))/((-20*x + 5*E^((-10 - 2*Log[x])/5)*x)*Log[4 - E^((-10 - 2*Log[x])/5)]),x]","-\log \left(\log \left(4-\frac{1}{e^2 x^{2/5}}\right)\right)","\log (3)-\log \left(\log \left(4-e^{\frac{2}{5} (-\log (x)-5)}\right)\right)",1,"-Log[Log[4 - 1/(E^2*x^(2/5))]]","A",1
2705,1,32,28,0.3614787,"\int \frac{-2 x^3+e^{2 e^{-2+2 x}+8 e^{-1+x} x+8 x^2} \left(-4 e^{-2+2 x} x^2-16 x^3+e^{-1+x} \left(-8 x^2-8 x^3\right)\right)+e^{e^{-2+2 x}+4 e^{-1+x} x+4 x^2} \left(-2 x^2-4 e^{-2+2 x} x^3-16 x^4+e^{-1+x} \left(-8 x^3-8 x^4\right)\right)+2 \log (x)-\log ^2(x)}{x^2} \, dx","Integrate[(-2*x^3 + E^(2*E^(-2 + 2*x) + 8*E^(-1 + x)*x + 8*x^2)*(-4*E^(-2 + 2*x)*x^2 - 16*x^3 + E^(-1 + x)*(-8*x^2 - 8*x^3)) + E^(E^(-2 + 2*x) + 4*E^(-1 + x)*x + 4*x^2)*(-2*x^2 - 4*E^(-2 + 2*x)*x^3 - 16*x^4 + E^(-1 + x)*(-8*x^3 - 8*x^4)) + 2*Log[x] - Log[x]^2)/x^2,x]","\frac{\log ^2(x)-x \left(x+e^{\frac{\left(2 e x+e^x\right)^2}{e^2}}\right)^2}{x}","\frac{\log ^2(x)}{x}-\left(x+e^{\left(2 x+e^{x-1}\right)^2}\right)^2",1,"(-(x*(E^((E^x + 2*E*x)^2/E^2) + x)^2) + Log[x]^2)/x","A",1
2706,1,17,17,0.1739111,"\int \frac{e^{\frac{100+e^3}{1+2 x+x^2}} \left(-999+e^3 (-10-2 x)-197 x+3 x^2+x^3\right)}{1+3 x+3 x^2+x^3} \, dx","Integrate[(E^((100 + E^3)/(1 + 2*x + x^2))*(-999 + E^3*(-10 - 2*x) - 197*x + 3*x^2 + x^3))/(1 + 3*x + 3*x^2 + x^3),x]","e^{\frac{100+e^3}{(x+1)^2}} (x+5)","e^{\frac{100+e^3}{(x+1)^2}} (x+5)",1,"E^((100 + E^3)/(1 + x)^2)*(5 + x)","A",1
2707,1,23,24,0.2743836,"\int \frac{e^{\frac{48-4 x^2+x^3-3 x^4 \log ^2(x)}{x}} \left(-48-4 x^2+2 x^3-6 x^4 \log (x)-9 x^4 \log ^2(x)\right)}{x^2} \, dx","Integrate[(E^((48 - 4*x^2 + x^3 - 3*x^4*Log[x]^2)/x)*(-48 - 4*x^2 + 2*x^3 - 6*x^4*Log[x] - 9*x^4*Log[x]^2))/x^2,x]","e^{-3 x^3 \log ^2(x)+x^2-4 x+\frac{48}{x}}","e^{x \left(3 \left(\frac{16}{x^2}-x^2 \log ^2(x)\right)+x-4\right)}",1,"E^(48/x - 4*x + x^2 - 3*x^3*Log[x]^2)","A",1
2708,1,35,27,0.1494316,"\int \frac{-4 e^{3 x}+8 x+8 x^2+e^{2 x} (16+16 x)+e^x \left(-16-36 x-16 x^2\right)+\left(8 x-4 e^{3 x} x+e^{2 x} \left(16 x+16 x^2\right)+e^x \left(-20 x-28 x^2-16 x^3\right)\right) \log (x)+\left(2 x-e^{3 x} x+e^{2 x} \left(4 x+4 x^2\right)+e^x \left(-5 x-7 x^2-4 x^3\right)\right) \log ^2(x)}{\left(e^{4 x} x+x^3+e^{3 x} \left(-4 x-4 x^2\right)+e^x \left(-4 x^2-4 x^3\right)+e^{2 x} \left(4 x+10 x^2+4 x^3\right)\right) \log ^2(x)} \, dx","Integrate[(-4*E^(3*x) + 8*x + 8*x^2 + E^(2*x)*(16 + 16*x) + E^x*(-16 - 36*x - 16*x^2) + (8*x - 4*E^(3*x)*x + E^(2*x)*(16*x + 16*x^2) + E^x*(-20*x - 28*x^2 - 16*x^3))*Log[x] + (2*x - E^(3*x)*x + E^(2*x)*(4*x + 4*x^2) + E^x*(-5*x - 7*x^2 - 4*x^3))*Log[x]^2)/((E^(4*x)*x + x^3 + E^(3*x)*(-4*x - 4*x^2) + E^x*(-4*x^2 - 4*x^3) + E^(2*x)*(4*x + 10*x^2 + 4*x^3))*Log[x]^2),x]","\frac{\left(e^x-2 (x+1)\right) (\log (x)+4)}{\left(x+e^{2 x}-2 e^x (x+1)\right) \log (x)}","\frac{\log (x)+4}{\left(\frac{x}{-2 x+e^x-2}+e^x\right) \log (x)}",1,"((E^x - 2*(1 + x))*(4 + Log[x]))/((E^(2*x) + x - 2*E^x*(1 + x))*Log[x])","A",1
2709,1,21,21,0.0735986,"\int \frac{e^{-4 x} \left(4 \log \left(x^2\right)+(-2-4 x) \log ^2\left(x^2\right)\right)}{4 x^3-4 x^3 \log (2)+x^3 \log ^2(2)} \, dx","Integrate[(4*Log[x^2] + (-2 - 4*x)*Log[x^2]^2)/(E^(4*x)*(4*x^3 - 4*x^3*Log[2] + x^3*Log[2]^2)),x]","\frac{e^{-4 x} \log ^2\left(x^2\right)}{x^2 (\log (2)-2)^2}","\frac{e^{-4 x} \log ^2\left(x^2\right)}{x^2 (\log (2)-2)^2}",1,"Log[x^2]^2/(E^(4*x)*x^2*(-2 + Log[2])^2)","A",1
2710,1,20,20,0.0116654,"\int \frac{-2 e^2 \left(\frac{1}{x}\right)^{2 e^2}-2 e^x x+2 e^{2 x} x}{x} \, dx","Integrate[(-2*E^2*(x^(-1))^(2*E^2) - 2*E^x*x + 2*E^(2*x)*x)/x,x]","\left(\frac{1}{x}\right)^{2 e^2}-2 e^x+e^{2 x}","\left(\frac{1}{x}\right)^{2 e^2}+\left(1-e^x\right)^2-4",1,"-2*E^x + E^(2*x) + (x^(-1))^(2*E^2)","A",1
2711,1,29,28,0.6505871,"\int \frac{6+e^{-5+e^{\frac{1}{4} \left(1-4 x-x^2\right)}} \left(2+e^{\frac{1}{4} \left(1-4 x-x^2\right)} (2+x)\right)}{6+2 e^{-5+e^{\frac{1}{4} \left(1-4 x-x^2\right)}}} \, dx","Integrate[(6 + E^(-5 + E^((1 - 4*x - x^2)/4))*(2 + E^((1 - 4*x - x^2)/4)*(2 + x)))/(6 + 2*E^(-5 + E^((1 - 4*x - x^2)/4))),x]","x-\log \left(e^{e^{-\frac{x^2}{4}-x+\frac{1}{4}}}+3 e^5\right)","x-\log \left(e^{e^{\frac{1}{4} (-((x+3) x)-x+1)}-5}+3\right)",1,"x - Log[3*E^5 + E^E^(1/4 - x - x^2/4)]","A",1
2712,1,14,14,0.005878,"\int \frac{e^{\frac{1+30 x}{x}} (-1-4 x)}{45 x^6} \, dx","Integrate[(E^((1 + 30*x)/x)*(-1 - 4*x))/(45*x^6),x]","\frac{e^{\frac{1}{x}+30}}{45 x^4}","\frac{e^{\frac{1}{x}+30}}{45 x^4}",1,"E^(30 + x^(-1))/(45*x^4)","A",1
2713,1,14,18,0.0269897,"\int \left(-8 x+e^{16+x+x^4} \left(1+4 x^3\right)\right) \, dx","Integrate[-8*x + E^(16 + x + x^4)*(1 + 4*x^3),x]","e^{x^4+x+16}-4 x^2","e^{x^4+x+16}-4 x^2+e^5-2",1,"E^(16 + x + x^4) - 4*x^2","A",1
2714,1,7,23,0.0002311,"\int \frac{15}{4 x^2} \, dx","Integrate[15/(4*x^2),x]","-\frac{15}{4 x}","\log \left(e^{-\frac{e^{-e^{5+e}} x+15}{4 x}}\right)",1,"-15/(4*x)","A",1
2715,1,13,16,0.0011682,"\int \frac{-2+2 x+4 x^2}{x} \, dx","Integrate[(-2 + 2*x + 4*x^2)/x,x]","2 x^2+2 x-2 \log (x)","2 x^2-\log \left(x^2\right)+2 x+2",1,"2*x + 2*x^2 - 2*Log[x]","A",1
2716,1,21,29,0.0084349,"\int \frac{9-12 x-x^2+2 x^5}{-3 x+6 x^2+x^3+x^6} \, dx","Integrate[(9 - 12*x - x^2 + 2*x^5)/(-3*x + 6*x^2 + x^3 + x^6),x]","\log \left(-x^5-x^2-6 x+3\right)-3 \log (x)","\log \left(3 e^2 \left(x^2+\frac{\frac{\frac{x-3}{x}+5}{x}+1}{x}\right)\right)",1,"-3*Log[x] + Log[3 - 6*x - x^2 - x^5]","A",1
2717,1,45,30,0.2597263,"\int \frac{-2 e^{2 e^{x^2} (-3+x)} x+e^{e^{\log ^2(2)}+e^{x^2} (-3+x)} \left(2+\left(2+e^{x^2} \left(2 x-12 x^2+4 x^3\right)\right) \log (x)\right)}{e^{2 e^{\log ^2(2)}}-2 e^{e^{\log ^2(2)}+e^{x^2} (-3+x)} x+e^{2 e^{x^2} (-3+x)} x^2} \, dx","Integrate[(-2*E^(2*E^x^2*(-3 + x))*x + E^(E^Log[2]^2 + E^x^2*(-3 + x))*(2 + (2 + E^x^2*(2*x - 12*x^2 + 4*x^3))*Log[x]))/(E^(2*E^Log[2]^2) - 2*E^(E^Log[2]^2 + E^x^2*(-3 + x))*x + E^(2*E^x^2*(-3 + x))*x^2),x]","2 \left(-\frac{e^{e^{\log ^2(2)}} \log (x)}{e^{e^{x^2} (x-3)} x-e^{e^{\log ^2(2)}}}-\log (x)\right)","\frac{2 x \log (x)}{e^{e^{\log ^2(2)}-e^{x^2} (x-3)}-x}",1,"2*(-Log[x] - (E^E^Log[2]^2*Log[x])/(-E^E^Log[2]^2 + E^(E^x^2*(-3 + x))*x))","A",1
2718,1,26,23,0.4446748,"\int \left(1+\exp \left(4+e^{e^4} (4-x)+3 e^{4+e^{e^4} (4-x)} x\right) \left(3-3 e^{e^4} x\right)\right) \, dx","Integrate[1 + E^(4 + E^E^4*(4 - x) + 3*E^(4 + E^E^4*(4 - x))*x)*(3 - 3*E^E^4*x),x]","x+e^{3 e^{-e^{e^4} x+4 e^{e^4}+4} x}","x+e^{3 e^{e^{e^4} (4-x)+4} x}+4",1,"E^(3*E^(4 + 4*E^E^4 - E^E^4*x)*x) + x","A",1
2719,1,27,23,0.0842534,"\int \frac{1}{3} \left(5-3 e^{2 x+(-1-x) \log \left(1+2 x+x^2\right)} \log \left(1+2 x+x^2\right)\right) \, dx","Integrate[(5 - 3*E^(2*x + (-1 - x)*Log[1 + 2*x + x^2])*Log[1 + 2*x + x^2])/3,x]","e^{2 (x+1)-2} \left((x+1)^2\right)^{-x-1}+\frac{5 x}{3}","\frac{5 x}{3}+e^{2 x-(x+1) \log \left((x+1)^2\right)}",1,"(5*x)/3 + E^(-2 + 2*(1 + x))*((1 + x)^2)^(-1 - x)","A",1
2720,1,35,29,0.3369896,"\int \frac{1}{3} \left(3+\exp \left(-6+2 e^3+\frac{1}{3} e^{-6+2 e^3} \left(18 x^2-2 x^4\right)\right) \left(36 x-8 x^3\right)\right) \, dx","Integrate[(3 + E^(-6 + 2*E^3 + (E^(-6 + 2*E^3)*(18*x^2 - 2*x^4))/3)*(36*x - 8*x^3))/3,x]","\exp \left(6 e^{2 e^3-6} x^2-\frac{2}{3} e^{2 e^3-6} x^4\right)+x","e^{\frac{2}{3} e^{2 e^3-6} (3-x) x^2 (x+3)}+x+5",1,"E^(6*E^(-6 + 2*E^3)*x^2 - (2*E^(-6 + 2*E^3)*x^4)/3) + x","A",1
2721,1,26,28,0.0099256,"\int \frac{\left(-3300+10836 x-10980 x^2+3660 x^3\right) \log (3)}{-25+75 x-75 x^2+25 x^3} \, dx","Integrate[((-3300 + 10836*x - 10980*x^2 + 3660*x^3)*Log[3])/(-25 + 75*x - 75*x^2 + 25*x^3),x]","\frac{12}{25} \left(305 (x-1)+\frac{12}{x-1}-\frac{9}{(x-1)^2}\right) \log (3)","12 \left((x+5)^2-\left(x+\frac{3}{\frac{5}{x}-5}\right)^2+x\right) \log (3)",1,"(12*(-9/(-1 + x)^2 + 12/(-1 + x) + 305*(-1 + x))*Log[3])/25","A",1
2722,1,25,26,0.9109344,"\int \frac{-6 x^2+6 x^3+8 x^4+\left(-12 x-18 x^2-6 x^3\right) \log (1+x)}{1+x+16 x^4+16 x^5+64 x^8+64 x^9+\left(-48 x^2-64 x^3-16 x^4-384 x^6-512 x^7-128 x^8\right) \log (1+x)+\left(576 x^4+960 x^5+448 x^6+64 x^7\right) \log ^2(1+x)} \, dx","Integrate[(-6*x^2 + 6*x^3 + 8*x^4 + (-12*x - 18*x^2 - 6*x^3)*Log[1 + x])/(1 + x + 16*x^4 + 16*x^5 + 64*x^8 + 64*x^9 + (-48*x^2 - 64*x^3 - 16*x^4 - 384*x^6 - 512*x^7 - 128*x^8)*Log[1 + x] + (576*x^4 + 960*x^5 + 448*x^6 + 64*x^7)*Log[1 + x]^2),x]","-\frac{1}{4 \left(8 x^4-8 (x+3) x^2 \log (x+1)+1\right)}","\frac{4}{\frac{2}{x^2 \left(x^2-(x+3) \log (x+1)\right)}+16}",1,"-1/4*1/(1 + 8*x^4 - 8*x^2*(3 + x)*Log[1 + x])","A",1
2723,1,42,27,0.1882664,"\int \frac{-16 e^{2 x} x^2-32 e^{3 x} x^2+e^{4 x} \left(-80-16 x^2\right)+\left(e^{4 x} \left(-80-48 x^2\right)+e^{3 x} \left(-96 x^2+32 x^3\right)+e^{2 x} \left(-48 x^2+32 x^3\right)+\left(e^{4 x} \left(-80-48 x^2\right)+e^{3 x} \left(-96 x^2+32 x^3\right)+e^{2 x} \left(-48 x^2+32 x^3\right)\right) \log (x)\right) \log (1+\log (x))}{\left(x^6+4 e^x x^6+e^{4 x} \left(25 x^2+10 x^4+x^6\right)+e^{3 x} \left(20 x^4+4 x^6\right)+e^{2 x} \left(10 x^4+6 x^6\right)+\left(x^6+4 e^x x^6+e^{4 x} \left(25 x^2+10 x^4+x^6\right)+e^{3 x} \left(20 x^4+4 x^6\right)+e^{2 x} \left(10 x^4+6 x^6\right)\right) \log (x)\right) \log ^2(1+\log (x))} \, dx","Integrate[(-16*E^(2*x)*x^2 - 32*E^(3*x)*x^2 + E^(4*x)*(-80 - 16*x^2) + (E^(4*x)*(-80 - 48*x^2) + E^(3*x)*(-96*x^2 + 32*x^3) + E^(2*x)*(-48*x^2 + 32*x^3) + (E^(4*x)*(-80 - 48*x^2) + E^(3*x)*(-96*x^2 + 32*x^3) + E^(2*x)*(-48*x^2 + 32*x^3))*Log[x])*Log[1 + Log[x]])/((x^6 + 4*E^x*x^6 + E^(4*x)*(25*x^2 + 10*x^4 + x^6) + E^(3*x)*(20*x^4 + 4*x^6) + E^(2*x)*(10*x^4 + 6*x^6) + (x^6 + 4*E^x*x^6 + E^(4*x)*(25*x^2 + 10*x^4 + x^6) + E^(3*x)*(20*x^4 + 4*x^6) + E^(2*x)*(10*x^4 + 6*x^6))*Log[x])*Log[1 + Log[x]]^2),x]","\frac{16 e^{2 x}}{x \left(2 e^x x^2+x^2+e^{2 x} \left(x^2+5\right)\right) \log (\log (x)+1)}","\frac{16}{x \left(\left(e^{-x} x+x\right)^2+5\right) \log (\log (x)+1)}",1,"(16*E^(2*x))/(x*(x^2 + 2*E^x*x^2 + E^(2*x)*(5 + x^2))*Log[1 + Log[x]])","A",1
2724,1,33,32,0.0823922,"\int \frac{e^{-x} \left(9 x^2-15 x^3+7 x^4-x^5+e^x \left(42 x^2-30 x^3+5 x^4+e^{\frac{2-x^2}{x}} \left(18-12 x+11 x^2-6 x^3+x^4\right)\right)\right)}{9 x^2-6 x^3+x^4} \, dx","Integrate[(9*x^2 - 15*x^3 + 7*x^4 - x^5 + E^x*(42*x^2 - 30*x^3 + 5*x^4 + E^((2 - x^2)/x)*(18 - 12*x + 11*x^2 - 6*x^3 + x^4)))/(E^x*(9*x^2 - 6*x^3 + x^4)),x]","5 (x-3)-e^{\frac{2}{x}-x}+e^{-x} x+\frac{3}{x-3}","e^{-x} x+5 x-e^{\frac{2}{x}-x}+\frac{3}{x-3}+2",1,"-E^(2/x - x) + 3/(-3 + x) + 5*(-3 + x) + x/E^x","A",1
2725,1,29,34,0.2379288,"\int \frac{-20 x-94 x^2-110 x^3+\left(-3 x^2-3 \log (2)\right) \log \left(x^2+\log (2)\right)+\left(-20 x^2-100 x^3-125 x^4+\left(-20-100 x-125 x^2\right) \log (2)\right) \log ^2\left(x^2+\log (2)\right)}{\left(20 x^2+100 x^3+125 x^4+\left(20+100 x+125 x^2\right) \log (2)\right) \log ^2\left(x^2+\log (2)\right)} \, dx","Integrate[(-20*x - 94*x^2 - 110*x^3 + (-3*x^2 - 3*Log[2])*Log[x^2 + Log[2]] + (-20*x^2 - 100*x^3 - 125*x^4 + (-20 - 100*x - 125*x^2)*Log[2])*Log[x^2 + Log[2]]^2)/((20*x^2 + 100*x^3 + 125*x^4 + (20 + 100*x + 125*x^2)*Log[2])*Log[x^2 + Log[2]]^2),x]","-\frac{-11 x-5}{5 (5 x+2) \log \left(x^2+\log (2)\right)}-x","\frac{\frac{3}{\frac{x}{2 x+1}+2}+1}{5 \log \left(x^2+\log (2)\right)}-x",1,"-x - (-5 - 11*x)/(5*(2 + 5*x)*Log[x^2 + Log[2]])","A",1
2726,1,101,32,0.1301942,"\int \frac{12 x+e^{15} (-4+4 x)+e^5 \left(-12+12 x-8 x^2\right)+e^{10} \left(12 x-8 x^2\right)+\left(-12+12 x-8 x^2+e^{10} (-12+12 x)+e^5 \left(24 x-16 x^2\right)\right) \log (x)+\left(12 x-8 x^2+e^5 (-12+12 x)\right) \log ^2(x)+(-4+4 x) \log ^3(x)}{\left(10 x+e^{20} x-12 e^5 x^2-4 e^{15} x^2+e^{10} \left(6 x+4 x^3\right)+\left(4 e^{15} x-12 x^2-12 e^{10} x^2+e^5 \left(12 x+8 x^3\right)\right) \log (x)+\left(6 x+6 e^{10} x-12 e^5 x^2+4 x^3\right) \log ^2(x)+\left(4 e^5 x-4 x^2\right) \log ^3(x)+x \log ^4(x)\right) \log \left(10+e^{20}-12 e^5 x-4 e^{15} x+e^{10} \left(6+4 x^2\right)+\left(4 e^{15}-12 x-12 e^{10} x+e^5 \left(12+8 x^2\right)\right) \log (x)+\left(6+6 e^{10}-12 e^5 x+4 x^2\right) \log ^2(x)+\left(4 e^5-4 x\right) \log ^3(x)+\log ^4(x)\right)} \, dx","Integrate[(12*x + E^15*(-4 + 4*x) + E^5*(-12 + 12*x - 8*x^2) + E^10*(12*x - 8*x^2) + (-12 + 12*x - 8*x^2 + E^10*(-12 + 12*x) + E^5*(24*x - 16*x^2))*Log[x] + (12*x - 8*x^2 + E^5*(-12 + 12*x))*Log[x]^2 + (-4 + 4*x)*Log[x]^3)/((10*x + E^20*x - 12*E^5*x^2 - 4*E^15*x^2 + E^10*(6*x + 4*x^3) + (4*E^15*x - 12*x^2 - 12*E^10*x^2 + E^5*(12*x + 8*x^3))*Log[x] + (6*x + 6*E^10*x - 12*E^5*x^2 + 4*x^3)*Log[x]^2 + (4*E^5*x - 4*x^2)*Log[x]^3 + x*Log[x]^4)*Log[10 + E^20 - 12*E^5*x - 4*E^15*x + E^10*(6 + 4*x^2) + (4*E^15 - 12*x - 12*E^10*x + E^5*(12 + 8*x^2))*Log[x] + (6 + 6*E^10 - 12*E^5*x + 4*x^2)*Log[x]^2 + (4*E^5 - 4*x)*Log[x]^3 + Log[x]^4]),x]","-\log \left(\log \left(e^{10} \left(4 x^2+6\right)+2 \left(2 x^2-6 e^5 x+3 e^{10}+3\right) \log ^2(x)+4 \left(e^5 \left(2 x^2+3\right)-3 e^{10} x-3 x+e^{15}\right) \log (x)-4 e^{15} x-12 e^5 x+\log ^4(x)+4 \left(e^5-x\right) \log ^3(x)+e^{20}+10\right)\right)","\log \left(\frac{1}{e \log \left(\left(-x^2+\left(x-\log (x)-e^5\right)^2+3\right)^2+1\right)}\right)",1,"-Log[Log[10 + E^20 - 12*E^5*x - 4*E^15*x + E^10*(6 + 4*x^2) + 4*(E^15 - 3*x - 3*E^10*x + E^5*(3 + 2*x^2))*Log[x] + 2*(3 + 3*E^10 - 6*E^5*x + 2*x^2)*Log[x]^2 + 4*(E^5 - x)*Log[x]^3 + Log[x]^4]]","B",1
2727,1,39,26,3.0962669,"\int \frac{4 e x+e^{1+x} (2+2 x)+e^{\frac{2 e-e^x}{e}} \left(-2 e+2 e^x x\right)}{e^{1+\frac{3 \left(2 e-e^x\right)}{e}} x^3-e^{1+3 x} x^3-3 e^{1+2 x} x^4-3 e^{1+x} x^5-e x^6+e^{\frac{2 \left(2 e-e^x\right)}{e}} \left(-3 e^{1+x} x^3-3 e x^4\right)+e^{\frac{2 e-e^x}{e}} \left(3 e^{1+2 x} x^3+6 e^{1+x} x^4+3 e x^5\right)} \, dx","Integrate[(4*E*x + E^(1 + x)*(2 + 2*x) + E^((2*E - E^x)/E)*(-2*E + 2*E^x*x))/(E^(1 + (3*(2*E - E^x))/E)*x^3 - E^(1 + 3*x)*x^3 - 3*E^(1 + 2*x)*x^4 - 3*E^(1 + x)*x^5 - E*x^6 + E^((2*(2*E - E^x))/E)*(-3*E^(1 + x)*x^3 - 3*E*x^4) + E^((2*E - E^x)/E)*(3*E^(1 + 2*x)*x^3 + 6*E^(1 + x)*x^4 + 3*E*x^5)),x]","\frac{e^{2 e^{x-1}}}{x^2 \left(e^{e^{x-1}} x+e^{x+e^{x-1}}-e^2\right)^2}","\frac{1}{\left(-x+e^{2-e^{x-1}}-e^x\right)^2 x^2}",1,"E^(2*E^(-1 + x))/(x^2*(-E^2 + E^(E^(-1 + x) + x) + E^E^(-1 + x)*x)^2)","A",1
2728,1,42,25,0.0511947,"\int \frac{4 x^2+6 x^3+e \left(2 x+3 x^2\right)+e^{2 x} \left(20 x^2+e (-10+20 x)\right)+2 x^2 \log (x)}{2 x^2} \, dx","Integrate[(4*x^2 + 6*x^3 + E*(2*x + 3*x^2) + E^(2*x)*(20*x^2 + E*(-10 + 20*x)) + 2*x^2*Log[x])/(2*x^2),x]","\frac{3 x^2}{2}+\frac{3 e x}{2}+x+5 e^{2 x}+\frac{5 e^{2 x+1}}{x}+x \log (x)+e \log (x)","(x+e) \left(\frac{3 x}{2}+\frac{x+5 e^{2 x}}{x}+\log (x)\right)",1,"5*E^(2*x) + (5*E^(1 + 2*x))/x + x + (3*E*x)/2 + (3*x^2)/2 + E*Log[x] + x*Log[x]","A",1
2729,1,101,36,0.2329679,"\int \frac{-28 x^2-48 x^3-20 x^4+(i \pi +\log (5-e))^4 \left(-20-10 \log \left(\frac{4}{x^2}\right)\right)+\left(-14 x^2-28 x^3-10 x^4\right) \log \left(\frac{4}{x^2}\right)+(i \pi +\log (5-e))^3 \left(-80 x-40 x \log \left(\frac{4}{x^2}\right)\right)+(i \pi +\log (5-e))^2 \left(-48 x-120 x^2+\left(-20 x-60 x^2\right) \log \left(\frac{4}{x^2}\right)\right)+(i \pi +\log (5-e)) \left(-96 x^2-80 x^3+\left(-48 x^2-40 x^3\right) \log \left(\frac{4}{x^2}\right)\right)}{5 x^4+10 x^5+5 x^6+\left(20 x^4+20 x^5\right) (i \pi +\log (5-e))+\left(10 x^3+30 x^4\right) (i \pi +\log (5-e))^2+20 x^3 (i \pi +\log (5-e))^3+5 x^2 (i \pi +\log (5-e))^4} \, dx","Integrate[(-28*x^2 - 48*x^3 - 20*x^4 + (I*Pi + Log[5 - E])^4*(-20 - 10*Log[4/x^2]) + (-14*x^2 - 28*x^3 - 10*x^4)*Log[4/x^2] + (I*Pi + Log[5 - E])^3*(-80*x - 40*x*Log[4/x^2]) + (I*Pi + Log[5 - E])^2*(-48*x - 120*x^2 + (-20*x - 60*x^2)*Log[4/x^2]) + (I*Pi + Log[5 - E])*(-96*x^2 - 80*x^3 + (-48*x^2 - 40*x^3)*Log[4/x^2]))/(5*x^4 + 10*x^5 + 5*x^6 + (20*x^4 + 20*x^5)*(I*Pi + Log[5 - E]) + (10*x^3 + 30*x^4)*(I*Pi + Log[5 - E])^2 + 20*x^3*(I*Pi + Log[5 - E])^3 + 5*x^2*(I*Pi + Log[5 - E])^4),x]","\frac{2 \left(5 x^2+x (7+10 \log (5-e))+10 i \pi  (x+\log (5-e))-5 \pi ^2+5 \log ^2(5-e)\right) \log \left(\frac{4}{x^2}\right)}{5 x \left(x^2+x+2 x \log (5-e)+2 i \pi  (x+\log (5-e))-\pi ^2+\log ^2(5-e)\right)}","\frac{\left(2+\frac{4 x}{5 \left(x+(x+i \pi +\log (5-e))^2\right)}\right) \log \left(\frac{4}{x^2}\right)}{x}",1,"(2*(-5*Pi^2 + 5*x^2 + 5*Log[5 - E]^2 + (10*I)*Pi*(x + Log[5 - E]) + x*(7 + 10*Log[5 - E]))*Log[4/x^2])/(5*x*(-Pi^2 + x + x^2 + 2*x*Log[5 - E] + Log[5 - E]^2 + (2*I)*Pi*(x + Log[5 - E])))","B",1
2730,0,0,31,0.2907305,"\int \frac{e^{\frac{1}{5} \log (1+x) \log (25-x+\log (5))} \left(-125-120 x+5 x^2+(-5-5 x) \log (5)+\left(-8-6 x+2 x^2+\left(4+3 x-x^2\right) \log \left(\frac{4-x}{2}\right)\right) \log (1+x)+\left(200-58 x+2 x^2+(8-2 x) \log (5)+\left(-100+29 x-x^2+(-4+x) \log (5)\right) \log \left(\frac{4-x}{2}\right)\right) \log (25-x+\log (5))\right)}{-2000-1420 x+560 x^2-20 x^3+\left(-80-60 x+20 x^2\right) \log (5)+\left(2000+1420 x-560 x^2+20 x^3+\left(80+60 x-20 x^2\right) \log (5)\right) \log \left(\frac{4-x}{2}\right)+\left(-500-355 x+140 x^2-5 x^3+\left(-20-15 x+5 x^2\right) \log (5)\right) \log ^2\left(\frac{4-x}{2}\right)} \, dx","Integrate[(E^((Log[1 + x]*Log[25 - x + Log[5]])/5)*(-125 - 120*x + 5*x^2 + (-5 - 5*x)*Log[5] + (-8 - 6*x + 2*x^2 + (4 + 3*x - x^2)*Log[(4 - x)/2])*Log[1 + x] + (200 - 58*x + 2*x^2 + (8 - 2*x)*Log[5] + (-100 + 29*x - x^2 + (-4 + x)*Log[5])*Log[(4 - x)/2])*Log[25 - x + Log[5]]))/(-2000 - 1420*x + 560*x^2 - 20*x^3 + (-80 - 60*x + 20*x^2)*Log[5] + (2000 + 1420*x - 560*x^2 + 20*x^3 + (80 + 60*x - 20*x^2)*Log[5])*Log[(4 - x)/2] + (-500 - 355*x + 140*x^2 - 5*x^3 + (-20 - 15*x + 5*x^2)*Log[5])*Log[(4 - x)/2]^2),x]","\int \frac{e^{\frac{1}{5} \log (1+x) \log (25-x+\log (5))} \left(-125-120 x+5 x^2+(-5-5 x) \log (5)+\left(-8-6 x+2 x^2+\left(4+3 x-x^2\right) \log \left(\frac{4-x}{2}\right)\right) \log (1+x)+\left(200-58 x+2 x^2+(8-2 x) \log (5)+\left(-100+29 x-x^2+(-4+x) \log (5)\right) \log \left(\frac{4-x}{2}\right)\right) \log (25-x+\log (5))\right)}{-2000-1420 x+560 x^2-20 x^3+\left(-80-60 x+20 x^2\right) \log (5)+\left(2000+1420 x-560 x^2+20 x^3+\left(80+60 x-20 x^2\right) \log (5)\right) \log \left(\frac{4-x}{2}\right)+\left(-500-355 x+140 x^2-5 x^3+\left(-20-15 x+5 x^2\right) \log (5)\right) \log ^2\left(\frac{4-x}{2}\right)} \, dx","\frac{e^{\frac{1}{5} \log (x+1) \log (-x+25+\log (5))}}{\log \left(2-\frac{x}{2}\right)-2}",1,"Integrate[(E^((Log[1 + x]*Log[25 - x + Log[5]])/5)*(-125 - 120*x + 5*x^2 + (-5 - 5*x)*Log[5] + (-8 - 6*x + 2*x^2 + (4 + 3*x - x^2)*Log[(4 - x)/2])*Log[1 + x] + (200 - 58*x + 2*x^2 + (8 - 2*x)*Log[5] + (-100 + 29*x - x^2 + (-4 + x)*Log[5])*Log[(4 - x)/2])*Log[25 - x + Log[5]]))/(-2000 - 1420*x + 560*x^2 - 20*x^3 + (-80 - 60*x + 20*x^2)*Log[5] + (2000 + 1420*x - 560*x^2 + 20*x^3 + (80 + 60*x - 20*x^2)*Log[5])*Log[(4 - x)/2] + (-500 - 355*x + 140*x^2 - 5*x^3 + (-20 - 15*x + 5*x^2)*Log[5])*Log[(4 - x)/2]^2), x]","F",-1
2731,1,12,20,0.034738,"\int \frac{-26+10 x-x^2+e^x \left(25-10 x+x^2\right)}{25-10 x+x^2} \, dx","Integrate[(-26 + 10*x - x^2 + E^x*(25 - 10*x + x^2))/(25 - 10*x + x^2),x]","-x+e^x+\frac{1}{x-5}","-x+e^x-\frac{1}{5-x}+e^4+1",1,"E^x + (-5 + x)^(-1) - x","A",1
2732,1,21,18,0.1358562,"\int \frac{5-3 x+12 x \log (3)}{15 x-3 x^2+\left(-60 x+12 x^2\right) \log (3)+5 x \log (2 x)} \, dx","Integrate[(5 - 3*x + 12*x*Log[3])/(15*x - 3*x^2 + (-60*x + 12*x^2)*Log[3] + 5*x*Log[2*x]),x]","\log (-3 x+3 x \log (81)+5 \log (2 x)+15-15 \log (81))","\log \left(x+\frac{5 \log (2 x)}{12 \log (3)-3}-5\right)",1,"Log[15 - 3*x - 15*Log[81] + 3*x*Log[81] + 5*Log[2*x]]","A",1
2733,1,19,19,0.0723852,"\int \frac{24+2 x-2 x^2-7 x \log \left(\frac{81 x^2}{2}\right)}{\left(16 x-8 x^2+x^3\right) \log ^2\left(\frac{81 x^2}{2}\right)} \, dx","Integrate[(24 + 2*x - 2*x^2 - 7*x*Log[(81*x^2)/2])/((16*x - 8*x^2 + x^3)*Log[(81*x^2)/2]^2),x]","\frac{x+3}{(x-4) \log \left(\frac{81 x^2}{2}\right)}","\frac{x+3}{(x-4) \log \left(\frac{81 x^2}{2}\right)}",1,"(3 + x)/((-4 + x)*Log[(81*x^2)/2])","A",1
2734,1,37,23,0.0463596,"\int \frac{76+106 x+102 x^2+81 x^3+36 x^4+6 x^5+\left(-8-12 x-6 x^2-x^3\right) \log (4)}{32+48 x+24 x^2+4 x^3} \, dx","Integrate[(76 + 106*x + 102*x^2 + 81*x^3 + 36*x^4 + 6*x^5 + (-8 - 12*x - 6*x^2 - x^3)*Log[4])/(32 + 48*x + 24*x^2 + 4*x^3),x]","\frac{1}{4} \left(2 x^3+\frac{2 \left(17 (x+2)^2+x\right)}{(x+2)^2}-x (\log (4)-9)-\log (16)\right)","x-\frac{1}{4} x \left(-2 x^2-\frac{2}{(x+2)^2}-5+\log (4)\right)",1,"(2*x^3 + (2*(x + 17*(2 + x)^2))/(2 + x)^2 - x*(-9 + Log[4]) - Log[16])/4","A",1
2735,0,0,28,7.111376,"\int \frac{400+800 x^2+400 x^4+e^{2 x+2 x \log (4)} \left(-2+2 x+x^2\right)+e^{x+x \log (4)} \left(100-80 x+100 x^2+40 x^3+\left(60+60 x^2\right) \log (4)\right)}{400+800 x^2+400 x^4+e^{2 x+2 x \log (4)} \left(1+2 x+x^2\right)+e^{x+x \log (4)} \left(40+40 x+40 x^2+40 x^3\right)} \, dx","Integrate[(400 + 800*x^2 + 400*x^4 + E^(2*x + 2*x*Log[4])*(-2 + 2*x + x^2) + E^(x + x*Log[4])*(100 - 80*x + 100*x^2 + 40*x^3 + (60 + 60*x^2)*Log[4]))/(400 + 800*x^2 + 400*x^4 + E^(2*x + 2*x*Log[4])*(1 + 2*x + x^2) + E^(x + x*Log[4])*(40 + 40*x + 40*x^2 + 40*x^3)),x]","\int \frac{400+800 x^2+400 x^4+e^{2 x+2 x \log (4)} \left(-2+2 x+x^2\right)+e^{x+x \log (4)} \left(100-80 x+100 x^2+40 x^3+\left(60+60 x^2\right) \log (4)\right)}{400+800 x^2+400 x^4+e^{2 x+2 x \log (4)} \left(1+2 x+x^2\right)+e^{x+x \log (4)} \left(40+40 x+40 x^2+40 x^3\right)} \, dx","\frac{3}{20 \left(x^2+1\right) e^{x (-\log (4))-x}+x+1}+x+3",1,"Integrate[(400 + 800*x^2 + 400*x^4 + E^(2*x + 2*x*Log[4])*(-2 + 2*x + x^2) + E^(x + x*Log[4])*(100 - 80*x + 100*x^2 + 40*x^3 + (60 + 60*x^2)*Log[4]))/(400 + 800*x^2 + 400*x^4 + E^(2*x + 2*x*Log[4])*(1 + 2*x + x^2) + E^(x + x*Log[4])*(40 + 40*x + 40*x^2 + 40*x^3)), x]","F",-1
2736,1,17,24,0.1497103,"\int \frac{-2+e^x (-1+x)+2 x+\left(-e^x-x\right) \log \left(e^x+x\right)}{8 x-8 x^2+2 x^3+e^x \left(8-8 x+2 x^2\right)} \, dx","Integrate[(-2 + E^x*(-1 + x) + 2*x + (-E^x - x)*Log[E^x + x])/(8*x - 8*x^2 + 2*x^3 + E^x*(8 - 8*x + 2*x^2)),x]","\frac{\log \left(x+e^x\right)-1}{2 (x-2)}","-\frac{1-\log \left(x+e^x\right)}{2 x-4}+5+\log (\log (50))",1,"(-1 + Log[E^x + x])/(2*(-2 + x))","A",1
2737,1,28,29,0.1142267,"\int \frac{-48 x^2+12 x^3+\left(16+28 x-8 x^2+(16-4 x) \log (x)\right) \log (\log (2))+\left(4 x^2+3 x^3+\left(-4 x-3 x^2+(-4-3 x) \log (x)\right) \log (\log (2))\right) \log \left(\frac{x^3+\left(-x^2-x \log (x)\right) \log (\log (2))}{\log (\log (2))}\right)}{\left(1024 x^2-1280 x^3+640 x^4-160 x^5+20 x^6-x^7+\left(-1024 x+1280 x^2-640 x^3+160 x^4-20 x^5+x^6+\left(-1024+1280 x-640 x^2+160 x^3-20 x^4+x^5\right) \log (x)\right) \log (\log (2))\right) \log ^5\left(\frac{x^3+\left(-x^2-x \log (x)\right) \log (\log (2))}{\log (\log (2))}\right)} \, dx","Integrate[(-48*x^2 + 12*x^3 + (16 + 28*x - 8*x^2 + (16 - 4*x)*Log[x])*Log[Log[2]] + (4*x^2 + 3*x^3 + (-4*x - 3*x^2 + (-4 - 3*x)*Log[x])*Log[Log[2]])*Log[(x^3 + (-x^2 - x*Log[x])*Log[Log[2]])/Log[Log[2]]])/((1024*x^2 - 1280*x^3 + 640*x^4 - 160*x^5 + 20*x^6 - x^7 + (-1024*x + 1280*x^2 - 640*x^3 + 160*x^4 - 20*x^5 + x^6 + (-1024 + 1280*x - 640*x^2 + 160*x^3 - 20*x^4 + x^5)*Log[x])*Log[Log[2]])*Log[(x^3 + (-x^2 - x*Log[x])*Log[Log[2]])/Log[Log[2]]]^5),x]","\frac{x}{(x-4)^4 \log ^4\left(x \left(x \left(\frac{x}{\log (\log (2))}-1\right)-\log (x)\right)\right)}","\frac{x}{(x-4)^4 \log ^4\left(x \left(\frac{x^2}{\log (\log (2))}-x-\log (x)\right)\right)}",1,"x/((-4 + x)^4*Log[x*(-Log[x] + x*(-1 + x/Log[Log[2]]))]^4)","A",1
2738,1,53,22,0.0681679,"\int \frac{150+e^x (75-5 x)-12 x+\left(-3-e^x\right) \log \left(3+e^x\right)}{12+4 e^x} \, dx","Integrate[(150 + E^x*(75 - 5*x) - 12*x + (-3 - E^x)*Log[3 + E^x])/(12 + 4*E^x),x]","\frac{1}{4} \left(\text{Li}_2\left(-3 e^{-x}\right)+\text{Li}_2\left(-\frac{e^x}{3}\right)-\frac{5 x^2}{2}+75 x-x \log (3)-(x-25) \log \left(3 e^{-x}+1\right)\right)","\left(\frac{5-x}{4}+5\right) \left(2 x+\log \left(e^x+3\right)\right)",1,"(75*x - (5*x^2)/2 - x*Log[3] - (-25 + x)*Log[1 + 3/E^x] + PolyLog[2, -3/E^x] + PolyLog[2, -1/3*E^x])/4","C",1
2739,1,25,26,0.3736638,"\int \frac{\left(-28-8 x+8 x^2\right) \log (16)+\left(-7-4 x+6 x^2\right) \log (16) \log \left(x^4\right)}{\left(49 x^2+28 x^3-24 x^4-8 x^5+4 x^6\right) \log ^2\left(x^4\right)} \, dx","Integrate[((-28 - 8*x + 8*x^2)*Log[16] + (-7 - 4*x + 6*x^2)*Log[16]*Log[x^4])/((49*x^2 + 28*x^3 - 24*x^4 - 8*x^5 + 4*x^6)*Log[x^4]^2),x]","-\frac{\log (16)}{x \left(2 x^2-2 x-7\right) \log \left(x^4\right)}","\frac{\log (16)}{x \left(2 \left(-x^2+x+4\right)-1\right) \log \left(x^4\right)}",1,"-(Log[16]/(x*(-7 - 2*x + 2*x^2)*Log[x^4]))","A",1
2740,1,82,31,0.0618373,"\int \frac{-225 x^5+162 x^6+e^{3 x} \left(12 x-12 x^2-108 x^5\right)+e^x \left(-68 x^3+68 x^4-36 x^5\right)+e^{2 x} \left(60 x^2-78 x^3+36 x^4-306 x^5-288 x^6+324 x^7\right)+e^{4 x} \left(-4+4 x-18 x^3+72 x^4+162 x^6+324 x^7\right)}{81 x^5} \, dx","Integrate[(-225*x^5 + 162*x^6 + E^(3*x)*(12*x - 12*x^2 - 108*x^5) + E^x*(-68*x^3 + 68*x^4 - 36*x^5) + E^(2*x)*(60*x^2 - 78*x^3 + 36*x^4 - 306*x^5 - 288*x^6 + 324*x^7) + E^(4*x)*(-4 + 4*x - 18*x^3 + 72*x^4 + 162*x^6 + 324*x^7))/(81*x^5),x]","\frac{1}{81} \left(e^{3 x} \left(-\frac{4}{x^3}-36\right)+81 x^2+e^{2 x} \left(162 x^2-\frac{30}{x^2}-306 x+\frac{18}{x}\right)+e^{4 x} \left(\frac{1}{x^4}+81 x^2+\frac{18}{x}\right)-225 x+e^x \left(\frac{68}{x}-36\right)\right)","\left(\frac{\left(x-e^x\right)^2}{9 x^2}+e^{2 x} x+x-2\right)^2+x+3",1,"(E^(3*x)*(-36 - 4/x^3) + E^x*(-36 + 68/x) - 225*x + 81*x^2 + E^(4*x)*(x^(-4) + 18/x + 81*x^2) + E^(2*x)*(-30/x^2 + 18/x - 306*x + 162*x^2))/81","B",1
2741,1,11,14,0.0001437,"\int \left(-4 x^3+4 e x^3\right) \, dx","Integrate[-4*x^3 + 4*E*x^3,x]","e x^4-x^4","\log (3)-x^3 (x-e x)",1,"-x^4 + E*x^4","A",1
2742,1,30,28,0.0278801,"\int \frac{32+2 e^{10}+512 x^3+128 x^4+128 x^8+e^5 \left(-16-32 x^4\right)}{64-64 x+16 x^2+e^{10} x^2-128 x^5+64 x^6+64 x^{10}+e^5 \left(16 x-8 x^2-16 x^6\right)} \, dx","Integrate[(32 + 2*E^10 + 512*x^3 + 128*x^4 + 128*x^8 + E^5*(-16 - 32*x^4))/(64 - 64*x + 16*x^2 + E^10*x^2 - 128*x^5 + 64*x^6 + 64*x^10 + E^5*(16*x - 8*x^2 - 16*x^6)),x]","\frac{2 \left(-8 x^4+e^5-4\right)}{8 x^5-e^5 x+4 x-8}","e^2-\frac{2}{x-\frac{4}{4 x^4-\frac{e^5}{2}+2}}",1,"(2*(-4 + E^5 - 8*x^4))/(-8 + 4*x - E^5*x + 8*x^5)","A",1
2743,1,4,4,0.0002267,"\int \frac{3}{x} \, dx","Integrate[3/x,x]","3 \log (x)","\log \left(x^3\right)",1,"3*Log[x]","A",1
2744,1,41,33,0.0551406,"\int \frac{e^{-\frac{5}{-3+e^2}} \left(-48 x^2-4 \log (3)+e^{\frac{5}{-3+e^2}} \left(-16 x^6-8 x^4 \log (3)-x^2 \log ^2(3)\right)\right)}{16 x^6+8 x^4 \log (3)+x^2 \log ^2(3)} \, dx","Integrate[(-48*x^2 - 4*Log[3] + E^(5/(-3 + E^2))*(-16*x^6 - 8*x^4*Log[3] - x^2*Log[3]^2))/(E^(5/(-3 + E^2))*(16*x^6 + 8*x^4*Log[3] + x^2*Log[3]^2)),x]","e^{-\frac{5}{e^2-3}} \left(\frac{4}{4 x^3+x \log (3)}-e^{\frac{5}{e^2-3}} x\right)","\frac{e^{\frac{5}{3-e^2}}}{x \left(x^2+\frac{\log (3)}{4}\right)}-x",1,"(-(E^(5/(-3 + E^2))*x) + 4/(4*x^3 + x*Log[3]))/E^(5/(-3 + E^2))","A",1
2745,1,16,17,0.003498,"\int \left(1+(-x-2 x \log (x)) \log \left(\frac{\log (2)}{3}\right)\right) \, dx","Integrate[1 + (-x - 2*x*Log[x])*Log[Log[2]/3],x]","x-x^2 \log \left(\frac{\log (2)}{3}\right) \log (x)","x^2 \log \left(\frac{\log (2)}{3}\right) (-\log (x))+x-1",1,"x - x^2*Log[x]*Log[Log[2]/3]","A",1
2746,1,30,30,0.2566838,"\int \frac{-2 e^{e^2}+e^{\frac{1}{2} e^{-e^2} \left(2 e^{e^2} x+3 x^2+x^3\right)} \left(2 e^{e^2}+6 x+3 x^2\right)}{16 e^{e^2+\frac{1}{2} e^{-e^2} \left(2 e^{e^2} x+3 x^2+x^3\right)}+e^{e^2} (-16-16 x)+\left(2 e^{e^2+\frac{1}{2} e^{-e^2} \left(2 e^{e^2} x+3 x^2+x^3\right)}+e^{e^2} (-2-2 x)\right) \log \left(1-e^{\frac{1}{2} e^{-e^2} \left(2 e^{e^2} x+3 x^2+x^3\right)}+x\right)} \, dx","Integrate[(-2*E^E^2 + E^((2*E^E^2*x + 3*x^2 + x^3)/(2*E^E^2))*(2*E^E^2 + 6*x + 3*x^2))/(16*E^(E^2 + (2*E^E^2*x + 3*x^2 + x^3)/(2*E^E^2)) + E^E^2*(-16 - 16*x) + (2*E^(E^2 + (2*E^E^2*x + 3*x^2 + x^3)/(2*E^E^2)) + E^E^2*(-2 - 2*x))*Log[1 - E^((2*E^E^2*x + 3*x^2 + x^3)/(2*E^E^2)) + x]),x]","\log \left(\log \left(-e^{\frac{1}{2} e^{-e^2} (x+3) x^2+x}+x+1\right)+8\right)","\log \left(\log \left(-e^{\frac{1}{2} e^{-e^2} (x+3) x^2+x}+x+1\right)+8\right)",1,"Log[8 + Log[1 - E^(x + (x^2*(3 + x))/(2*E^E^2)) + x]]","A",1
2747,1,78,34,0.0846182,"\int \left(-1+50 e^{2 x}+50 x-150 x^2+100 x^3+e^x \left(50-50 x-50 x^2\right)+e^{\frac{2 e^{2+x}}{5}} \left(50 x+10 e^{2+x} x^2\right)+e^{\frac{e^{2+x}}{5}} \left(100 x-150 x^2+e^x (50+50 x)+e^{2+x} \left(10 e^x x+10 x^2-10 x^3\right)\right)\right) \, dx","Integrate[-1 + 50*E^(2*x) + 50*x - 150*x^2 + 100*x^3 + E^x*(50 - 50*x - 50*x^2) + E^((2*E^(2 + x))/5)*(50*x + 10*E^(2 + x)*x^2) + E^(E^(2 + x)/5)*(100*x - 150*x^2 + E^x*(50 + 50*x) + E^(2 + x)*(10*E^x*x + 10*x^2 - 10*x^3)),x]","25 x^4-50 x^3+25 e^{\frac{2 e^{x+2}}{5}} x^2+25 x^2+50 e^{\frac{e^{x+2}}{5}} \left(-x^2+x+e^x\right) x-50 e^x \left(x^2-x\right)-x+25 e^{2 x}","\left(5 \left(-x^2+e^{\frac{e^{x+2}}{5}} x+x\right)+5 e^x\right)^2-x",1,"25*E^(2*x) - x + 25*x^2 + 25*E^((2*E^(2 + x))/5)*x^2 - 50*x^3 + 25*x^4 + 50*E^(E^(2 + x)/5)*x*(E^x + x - x^2) - 50*E^x*(-x + x^2)","B",1
2748,1,30,33,0.1348698,"\int \frac{\exp \left(e^{-x^2} \left(e^{x^2} (-5+x)-3 x\right)-x-x^2\right) \left(12 x-12 x^2-24 x^3+24 x^4+e^x \left(3 x^2-3 x^3-6 x^4+6 x^5\right)+e^{x^2} \left(4-12 x+e^x \left(-3 x^2+x^3\right)\right)\right)}{-x^2+3 x^3-3 x^4+x^5} \, dx","Integrate[(E^((E^x^2*(-5 + x) - 3*x)/E^x^2 - x - x^2)*(12*x - 12*x^2 - 24*x^3 + 24*x^4 + E^x*(3*x^2 - 3*x^3 - 6*x^4 + 6*x^5) + E^x^2*(4 - 12*x + E^x*(-3*x^2 + x^3))))/(-x^2 + 3*x^3 - 3*x^4 + x^5),x]","\frac{e^{-3 e^{-x^2} x-5} \left(e^x x+4\right)}{(x-1)^2 x}","\frac{e^{-3 e^{-x^2} x+x-5} \left(x+4 e^{-x}\right)}{(x-1)^2 x}",1,"(E^(-5 - (3*x)/E^x^2)*(4 + E^x*x))/((-1 + x)^2*x)","A",1
2749,1,26,20,0.4243768,"\int \frac{-4 x+8 e^{8-2 x} x+\left(-8+e^{8-2 x}+x\right) \log \left(64+e^{16-4 x}-16 x+x^2+e^{8-2 x} (-16+2 x)\right)}{\left(-8+e^{8-2 x}+x\right) \log ^3\left(64+e^{16-4 x}-16 x+x^2+e^{8-2 x} (-16+2 x)\right)} \, dx","Integrate[(-4*x + 8*E^(8 - 2*x)*x + (-8 + E^(8 - 2*x) + x)*Log[64 + E^(16 - 4*x) - 16*x + x^2 + E^(8 - 2*x)*(-16 + 2*x)])/((-8 + E^(8 - 2*x) + x)*Log[64 + E^(16 - 4*x) - 16*x + x^2 + E^(8 - 2*x)*(-16 + 2*x)]^3),x]","\frac{x}{\log ^2\left(e^{-4 x} \left(e^{2 x} (x-8)+e^8\right)^2\right)}","\frac{\log \left(e^x\right)}{\log ^2\left(\left(x+e^{8-2 x}-8\right)^2\right)}",1,"x/Log[(E^8 + E^(2*x)*(-8 + x))^2/E^(4*x)]^2","A",1
2750,1,17,25,0.0020751,"\int -\frac{3}{3 x+x^2} \, dx","Integrate[-3/(3*x + x^2),x]","-3 \left(\frac{\log (x)}{3}-\frac{1}{3} \log (x+3)\right)","\log (\log (3))-\log \left(\frac{x^2}{x-\frac{1}{4} (1-x) x}\right)",1,"-3*(Log[x]/3 - Log[3 + x]/3)","A",1
2751,1,27,29,0.8323831,"\int \frac{2-5 x+4 x^2-x^3+\left(-x+4 x^2-2 x^3\right) \log (4)-x^3 \log ^2(4)+(x+x \log (4)) \log (x)}{20 x-60 x^2+65 x^3-30 x^4+5 x^5+\left(-20 x^2+50 x^3-40 x^4+10 x^5\right) \log (4)+\left(5 x^3-10 x^4+5 x^5\right) \log ^2(4)+\left(20 x-30 x^2+10 x^3+\left(-10 x^2+10 x^3\right) \log (4)\right) \log (x)+5 x \log ^2(x)} \, dx","Integrate[(2 - 5*x + 4*x^2 - x^3 + (-x + 4*x^2 - 2*x^3)*Log[4] - x^3*Log[4]^2 + (x + x*Log[4])*Log[x])/(20*x - 60*x^2 + 65*x^3 - 30*x^4 + 5*x^5 + (-20*x^2 + 50*x^3 - 40*x^4 + 10*x^5)*Log[4] + (5*x^3 - 10*x^4 + 5*x^5)*Log[4]^2 + (20*x - 30*x^2 + 10*x^3 + (-10*x^2 + 10*x^3)*Log[4])*Log[x] + 5*x*Log[x]^2),x]","\frac{x+x \log (4)-2}{5 ((x-1) (x+x \log (4)-2)+\log (x))}","\frac{x}{5 \left(x^2-x+\frac{\log (x)}{\frac{x-2}{x}+\log (4)}\right)}",1,"(-2 + x + x*Log[4])/(5*((-1 + x)*(-2 + x + x*Log[4]) + Log[x]))","A",1
2752,1,26,21,0.6150511,"\int \frac{\exp \left(-2+\frac{-27-135 e^2+\frac{1}{3} e^x \left(1+5 e^2\right) x}{e^2 x^2}\right) \left(54+270 e^2+\frac{1}{3} e^x x \left(-1+x+e^2 (-5+5 x)\right)\right)}{x^3} \, dx","Integrate[(E^(-2 + (-27 - 135*E^2 + (E^x*(1 + 5*E^2)*x)/3)/(E^2*x^2))*(54 + 270*E^2 + (E^x*x*(-1 + x + E^2*(-5 + 5*x)))/3))/x^3,x]","e^{\frac{\left(1+5 e^2\right) \left(e^x x-81\right)}{3 e^2 x^2}}","e^{\frac{\left(5+\frac{1}{e^2}\right) \left(\frac{e^x x}{3}-27\right)}{x^2}}",1,"E^(((1 + 5*E^2)*(-81 + E^x*x))/(3*E^2*x^2))","A",1
2753,1,31,21,0.0279399,"\int \frac{-21+63 x-63 x^2+19 x^3+\left(2-6 x+6 x^2-2 x^3\right) \log (9)}{-x^3+3 x^4-3 x^5+x^6} \, dx","Integrate[(-21 + 63*x - 63*x^2 + 19*x^3 + (2 - 6*x + 6*x^2 - 2*x^3)*Log[9])/(-x^3 + 3*x^4 - 3*x^5 + x^6),x]","\frac{x^2 (\log (81)-19)-x (\log (6561)-42)-21+\log (81)}{2 (x-1)^2 x^2}","\frac{\frac{x^2}{(1-x)^2}-\frac{21}{2}+\log (9)}{x^2}",1,"(-21 + x^2*(-19 + Log[81]) + Log[81] - x*(-42 + Log[6561]))/(2*(-1 + x)^2*x^2)","A",1
2754,1,4,16,0.0002195,"\int -\frac{6}{x} \, dx","Integrate[-6/x,x]","-6 \log (x)","5 \left(\frac{1}{5} \left(\frac{4}{5}-6 \log (x)\right)-9\right)",1,"-6*Log[x]","A",1
2755,1,21,23,0.0537614,"\int \left(1+e^{4+3 x+16 x^2+16 x^4} \left(-3-32 x-64 x^3\right)\right) \, dx","Integrate[1 + E^(4 + 3*x + 16*x^2 + 16*x^4)*(-3 - 32*x - 64*x^3),x]","x-e^{16 x^4+16 x^2+3 x+4}","-e^{\left(4 x^2+2\right)^2+3 x}+x-e+5",1,"-E^(4 + 3*x + 16*x^2 + 16*x^4) + x","A",1
2756,1,26,23,0.0850325,"\int \frac{18+2 x+18 \log \left(\frac{5}{x}\right)+\left(162-126 x-34 x^2-2 x^3\right) \log ^2\left(\frac{5}{x}\right)}{\left(81+18 x+x^2\right) \log ^2\left(\frac{5}{x}\right)} \, dx","Integrate[(18 + 2*x + 18*Log[5/x] + (162 - 126*x - 34*x^2 - 2*x^3)*Log[5/x]^2)/((81 + 18*x + x^2)*Log[5/x]^2),x]","2 \left(-\frac{x^2}{2}+x+\frac{x}{(x+9) \log \left(\frac{5}{x}\right)}\right)","\frac{2 x}{(x+9) \log \left(\frac{5}{x}\right)}-(x-2) x",1,"2*(x - x^2/2 + x/((9 + x)*Log[5/x]))","A",1
2757,1,22,23,0.0207466,"\int \frac{\log (5)+e^{7 x} \left(-2+14 x+21 x^2\right) \log (5)}{16 x^2} \, dx","Integrate[(Log[5] + E^(7*x)*(-2 + 14*x + 21*x^2)*Log[5])/(16*x^2),x]","\frac{\left(e^{7 x} (3 x+2)-1\right) \log (5)}{16 x}","\frac{\left(x+e^{7 x} (3 x+2)-1\right) \log (5)}{16 x}",1,"((-1 + E^(7*x)*(2 + 3*x))*Log[5])/(16*x)","A",1
2758,1,18,20,0.1260395,"\int \frac{e^{\frac{-2+(-14+2 x) \log (\log (x))}{\log (\log (x))}} \left(1+x \log (x) \log ^2(\log (x))\right)}{2 x \log (x) \log ^2(\log (x))} \, dx","Integrate[(E^((-2 + (-14 + 2*x)*Log[Log[x]])/Log[Log[x]])*(1 + x*Log[x]*Log[Log[x]]^2))/(2*x*Log[x]*Log[Log[x]]^2),x]","\frac{1}{4} e^{2 x-\frac{2}{\log (\log (x))}-14}","\frac{1}{4} e^{2 \left(x-\frac{1}{\log (\log (x))}-7\right)}+8",1,"E^(-14 + 2*x - 2/Log[Log[x]])/4","A",1
2759,1,23,22,0.0121199,"\int \frac{-2 x^2+10 x^6+e^{9 x} (-4+9 x)}{5 x^5} \, dx","Integrate[(-2*x^2 + 10*x^6 + E^(9*x)*(-4 + 9*x))/(5*x^5),x]","\frac{e^{9 x}}{5 x^4}+x^2+\frac{1}{5 x^2}","x \left(\frac{x+\frac{e^{9 x}}{x}}{5 x^4}+x\right)",1,"E^(9*x)/(5*x^4) + 1/(5*x^2) + x^2","A",1
2760,1,30,22,0.0874758,"\int \frac{23-2 x+529 x^2+108 e^{24+3 x} x^2+9 e^{32+4 x} x^2-46 x^3+x^4+e^{8+x} \left(18+18 x+828 x^2-36 x^3\right)+e^{16+2 x} \left(3+6 x+462 x^2-6 x^3\right)}{529 x^2+108 e^{24+3 x} x^2+9 e^{32+4 x} x^2-46 x^3+x^4+e^{8+x} \left(828 x^2-36 x^3\right)+e^{16+2 x} \left(462 x^2-6 x^3\right)} \, dx","Integrate[(23 - 2*x + 529*x^2 + 108*E^(24 + 3*x)*x^2 + 9*E^(32 + 4*x)*x^2 - 46*x^3 + x^4 + E^(8 + x)*(18 + 18*x + 828*x^2 - 36*x^3) + E^(16 + 2*x)*(3 + 6*x + 462*x^2 - 6*x^3))/(529*x^2 + 108*E^(24 + 3*x)*x^2 + 9*E^(32 + 4*x)*x^2 - 46*x^3 + x^4 + E^(8 + x)*(828*x^2 - 36*x^3) + E^(16 + 2*x)*(462*x^2 - 6*x^3)),x]","x-\frac{1}{\left(-x+18 e^{x+8}+3 e^{2 x+16}+23\right) x}","x+\frac{1}{\left(-3 \left(e^{x+8}+3\right)^2+x+4\right) x}",1,"-(1/((23 + 18*E^(8 + x) + 3*E^(16 + 2*x) - x)*x)) + x","A",1
2761,1,27,24,0.1909183,"\int \frac{-6+10 e^{x+\frac{1}{2} (20+11 x)}+e^{x+\frac{1}{2} (20+11 x)} (-10+65 x) \log (x)}{6 x+10 e^{x+\frac{1}{2} (20+11 x)} x \log (x)} \, dx","Integrate[(-6 + 10*E^(x + (20 + 11*x)/2) + E^(x + (20 + 11*x)/2)*(-10 + 65*x)*Log[x])/(6*x + 10*E^(x + (20 + 11*x)/2)*x*Log[x]),x]","\frac{1}{2} \left(2 \log \left(5 e^{\frac{13 x}{2}+10} \log (x)+3\right)-2 \log (x)\right)","\log \left(\frac{5 e^{4 x+\frac{5 (x+4)}{2}} \log (x)+3}{x}\right)",1,"(-2*Log[x] + 2*Log[3 + 5*E^(10 + (13*x)/2)*Log[x]])/2","A",1
2762,1,52,27,0.0404372,"\int \frac{-16 x^2+8 x^3+8 x^4+e^2 \left(2+8 x+8 x^2\right)+e \left(-9-4 x-16 x^2-16 x^3\right)}{2 x^2+8 x^3+8 x^4+e^2 \left(2+8 x+8 x^2\right)+e \left(-4 x-16 x^2-16 x^3\right)} \, dx","Integrate[(-16*x^2 + 8*x^3 + 8*x^4 + E^2*(2 + 8*x + 8*x^2) + E*(-9 - 4*x - 16*x^2 - 16*x^3))/(2*x^2 + 8*x^3 + 8*x^4 + E^2*(2 + 8*x + 8*x^2) + E*(-4*x - 16*x^2 - 16*x^3)),x]","\frac{1}{2} \left(-2 (e-x)-\frac{9}{(1+2 e) (2 (e-x)-2 e-1)}-\frac{9 e}{(1+2 e) (e-x)}\right)","x+\frac{3}{2 \left(\frac{1}{x}+2\right) \left(\frac{x}{3}-\frac{e}{3}\right)}+3",1,"(-9/((1 + 2*E)*(-1 - 2*E + 2*(E - x))) - (9*E)/((1 + 2*E)*(E - x)) - 2*(E - x))/2","A",1
2763,1,17,24,0.0072434,"\int \frac{12 x^2+\left(3+24 x^2\right) \log (3)}{4 x^2} \, dx","Integrate[(12*x^2 + (3 + 24*x^2)*Log[3])/(4*x^2),x]","3 x+x \log (729)-\frac{3 \log (3)}{4 x}","x \left(\frac{\left(x-\left(\frac{3}{4 x^2}-5\right) x\right) \log (3)}{x}+3\right)",1,"3*x - (3*Log[3])/(4*x) + x*Log[729]","A",1
2764,1,37,36,0.9822002,"\int \frac{e^{-1/x} \left(e^{\frac{1}{x}+x} \left(-4 x+6 x^2+4 x^3-2 x^4\right)+e^{2 e^{-1/x}+x} \left(-8+8 x-2 x^2+e^{\frac{1}{x}} \left(-4 x^2+4 x^3-x^4\right)\right)+e^{\frac{1}{x}+x} \left(-6 x^2+2 x^3\right) \log \left(\frac{x}{4}\right)\right)}{8 x^2-8 x^3+2 x^4} \, dx","Integrate[(E^(x^(-1) + x)*(-4*x + 6*x^2 + 4*x^3 - 2*x^4) + E^(2/E^x^(-1) + x)*(-8 + 8*x - 2*x^2 + E^x^(-1)*(-4*x^2 + 4*x^3 - x^4)) + E^(x^(-1) + x)*(-6*x^2 + 2*x^3)*Log[x/4])/(E^x^(-1)*(8*x^2 - 8*x^3 + 2*x^4)),x]","-\frac{e^x \left(e^{2 e^{-1/x}} (x-2)+2 x-2 \log (x)+\log (16)\right)}{2 (x-2)}","e^x \left(\frac{\log \left(\frac{x}{4}\right)-x}{x-2}-\frac{1}{2} e^{2 e^{-1/x}}\right)",1,"-1/2*(E^x*(E^(2/E^x^(-1))*(-2 + x) + 2*x + Log[16] - 2*Log[x]))/(-2 + x)","A",1
2765,1,21,21,0.0271258,"\int \frac{-6+\frac{1}{2} e^{2 x} (1-2 x)+e^x (-1+x)}{x^2} \, dx","Integrate[(-6 + (E^(2*x)*(1 - 2*x))/2 + E^x*(-1 + x))/x^2,x]","\frac{2 e^x-e^{2 x}+12}{2 x}","\frac{-4 x+e^x-\frac{e^{2 x}}{2}+6}{x}",1,"(12 + 2*E^x - E^(2*x))/(2*x)","A",1
2766,1,20,23,0.0199852,"\int \frac{20+1000 x+11 x^2+400 x^3+x^4+40 x^5+\left(2000+800 x^2+80 x^4\right) \log (2)}{25+10 x^2+x^4} \, dx","Integrate[(20 + 1000*x + 11*x^2 + 400*x^3 + x^4 + 40*x^5 + (2000 + 800*x^2 + 80*x^4)*Log[2])/(25 + 10*x^2 + x^4),x]","x \left(-\frac{1}{x^2+5}+20 x+1+80 \log (2)\right)","-\frac{x}{x^2+5}+x-20 x (-x-4 \log (2))",1,"x*(1 + 20*x - (5 + x^2)^(-1) + 80*Log[2])","A",1
2767,1,25,25,5.0772244,"\int \frac{\left(\frac{-4+4 x}{x}\right)^{-5 x} \left(-1-4 x+e^{x^2} \left(\frac{-4+4 x}{x}\right)^{5 x} \left(-4 x+4 x^2\right)+\left(5 x-5 x^2\right) \log \left(\frac{-4+4 x}{x}\right)\right)}{-2+2 x} \, dx","Integrate[(-1 - 4*x + E^x^2*((-4 + 4*x)/x)^(5*x)*(-4*x + 4*x^2) + (5*x - 5*x^2)*Log[(-4 + 4*x)/x])/((-2 + 2*x)*((-4 + 4*x)/x)^(5*x)),x]","\frac{1}{2} \left(2 e^{x^2}+x \left(4-\frac{4}{x}\right)^{-5 x}\right)","e^{x^2}+\frac{1}{2} x \left(5-\frac{x+4}{x}\right)^{-5 x}",1,"(2*E^x^2 + x/(4 - 4/x)^(5*x))/2","A",1
2768,1,3,6,0.0000955,"\int 2 x \, dx","Integrate[2*x,x]","x^2","x^2+\log (5)",1,"x^2","A",1
2769,1,11,13,0.0049053,"\int \frac{-4 x-6 x^2}{5+x^2+x^3} \, dx","Integrate[(-4*x - 6*x^2)/(5 + x^2 + x^3),x]","-2 \log \left(x^3+x^2+5\right)","2 \log \left(\frac{1}{x^3+x^2+5}\right)",1,"-2*Log[5 + x^2 + x^3]","A",1
2770,1,13,13,0.0770258,"\int \frac{e^x+e^x (-2+x) \log \left(\frac{1}{x}\right)}{x^3 \log ^2\left(\frac{1}{x}\right)} \, dx","Integrate[(E^x + E^x*(-2 + x)*Log[x^(-1)])/(x^3*Log[x^(-1)]^2),x]","\frac{e^x}{x^2 \log \left(\frac{1}{x}\right)}","\frac{e^x}{x^2 \log \left(\frac{1}{x}\right)}",1,"E^x/(x^2*Log[x^(-1)])","A",1
2771,1,27,29,1.8462992,"\int e^{-2 x-e^{-x} \left(x^2-e^x x^2\right)} \left(18 e^{4 x+e^{-x} \left(x^2-e^x x^2\right)}+2 x^2-x^3+e^x \left(-1+x-2 x^2\right)\right) \, dx","Integrate[E^(-2*x - (x^2 - E^x*x^2)/E^x)*(18*E^(4*x + (x^2 - E^x*x^2)/E^x) + 2*x^2 - x^3 + E^x*(-1 + x - 2*x^2)),x]","9 e^{2 x}-e^{-x \left(\left(e^{-x}-1\right) x+1\right)} x","9 e^{2 x}-e^{-\left(\left(e^{-x}-1\right) x^2\right)-x} x",1,"9*E^(2*x) - x/E^(x*(1 + (-1 + E^(-x))*x))","A",1
2772,1,22,26,0.0042228,"\int \frac{4 x \log (3)-4 \log (3) \log (9)}{(-4 x+5 x \log (3)) \log (9)} \, dx","Integrate[(4*x*Log[3] - 4*Log[3]*Log[9])/((-4*x + 5*x*Log[3])*Log[9]),x]","\frac{4 \log (3) (x-\log (9) \log (x))}{\log (9) (\log (243)-4)}","\frac{4 x \left(\frac{\log (x)}{x}-\frac{1}{\log (9)}\right)}{\frac{4}{\log (3)}-5}",1,"(4*Log[3]*(x - Log[9]*Log[x]))/(Log[9]*(-4 + Log[243]))","A",1
2773,1,24,23,0.0124733,"\int \frac{864 x^2-96 x^3-432 x^4+12 x^5+54 x^6}{\left(16-8 x^2+x^4\right) \log (2)} \, dx","Integrate[(864*x^2 - 96*x^3 - 432*x^4 + 12*x^5 + 54*x^6)/((16 - 8*x^2 + x^4)*Log[2]),x]","\frac{6 \left(3 x^3+x^2+\frac{16}{x^2-4}\right)}{\log (2)}","6 \left(\frac{\left(\frac{x}{x^2-4}+3\right) x^3}{\log (2)}+4\right)",1,"(6*(x^2 + 3*x^3 + 16/(-4 + x^2)))/Log[2]","A",1
2774,1,27,25,0.0228528,"\int \frac{16-4 x+x \log (4)+(-32+4 x-x \log (4)) \log (x)}{20 x^3} \, dx","Integrate[(16 - 4*x + x*Log[4] + (-32 + 4*x - x*Log[4])*Log[x])/(20*x^3),x]","\frac{1}{20} \left(\frac{16 \log (x)}{x^2}-\frac{4 \log (x)}{x}+\frac{\log (4) \log (x)}{x}\right)","\frac{\left(-x+\frac{1}{4} x \log (4)+4\right) \log (x)}{5 x^2}+\frac{1}{5}",1,"((16*Log[x])/x^2 - (4*Log[x])/x + (Log[4]*Log[x])/x)/20","A",1
2775,1,28,28,0.0915496,"\int \frac{e^{e^{-2+x}-e^x-x} \left(1-x+\left(-x+e^{-2+x} x-e^x x\right) \log \left(\frac{e^{-x} x}{2}\right)\right)}{x} \, dx","Integrate[(E^(E^(-2 + x) - E^x - x)*(1 - x + (-x + E^(-2 + x)*x - E^x*x)*Log[x/(2*E^x)]))/x,x]","e^{-x+e^{x-2}-e^x} \log \left(\frac{e^{-x} x}{2}\right)","e^{-x+e^{x-2}-e^x} \log \left(\frac{e^{-x} x}{2}\right)",1,"E^(E^(-2 + x) - E^x - x)*Log[x/(2*E^x)]","A",1
2776,1,20,21,0.4411645,"\int \frac{\left(-4+e^{e^{x^2}} \left(4 x+\left(4 x+8 e^{x^2} x^3\right) \log (x)\right)\right) \log ^3\left(\frac{1}{4} \left(25 \log (x)-25 e^{e^{x^2}} x \log (x)\right)\right)}{-x \log (x)+e^{e^{x^2}} x^2 \log (x)} \, dx","Integrate[((-4 + E^E^x^2*(4*x + (4*x + 8*E^x^2*x^3)*Log[x]))*Log[(25*Log[x] - 25*E^E^x^2*x*Log[x])/4]^3)/(-(x*Log[x]) + E^E^x^2*x^2*Log[x]),x]","\log ^4\left(-\frac{25}{4} \left(e^{e^{x^2}} x-1\right) \log (x)\right)","\log ^4\left(\frac{5}{4} \left(5-5 e^{e^{x^2}} x\right) \log (x)\right)",1,"Log[(-25*(-1 + E^E^x^2*x)*Log[x])/4]^4","A",1
2777,1,33,27,0.0542734,"\int \frac{-2 x+x^2+(-24-6 x) \log (2)+\left(-24-2 x+x^2+(-24-6 x) \log (2)\right) \log \left(\frac{4+x}{x}\right)+\left(-24-6 x+(-24-6 x) \log \left(\frac{4+x}{x}\right)\right) \log \left(x+x \log \left(\frac{4+x}{x}\right)\right)}{24+6 x+(24+6 x) \log \left(\frac{4+x}{x}\right)} \, dx","Integrate[(-2*x + x^2 + (-24 - 6*x)*Log[2] + (-24 - 2*x + x^2 + (-24 - 6*x)*Log[2])*Log[(4 + x)/x] + (-24 - 6*x + (-24 - 6*x)*Log[(4 + x)/x])*Log[x + x*Log[(4 + x)/x]])/(24 + 6*x + (24 + 6*x)*Log[(4 + x)/x]),x]","\frac{1}{6} \left(\frac{x^2}{2}-6 x \log \left(x \left(\log \left(\frac{x+4}{x}\right)+1\right)\right)-6 x \log (2)\right)","x \left(\frac{x}{12}-\log \left(x+x \log \left(\frac{x+4}{x}\right)\right)-\log (2)\right)",1,"(x^2/2 - 6*x*Log[2] - 6*x*Log[x*(1 + Log[(4 + x)/x])])/6","A",1
2778,1,302,31,0.7130403,"\int \frac{e^{-2 x} \left(4 e^{2 x} x^4 \log ^2(3)+e^x \left(4 x^3 \log (3)-32 x^2 \log ^2(3)\right) \log (x)+e^x \left(\left(-6 x^2+6 x^3-2 x^4\right) \log (3)+\left(-32 x^2+16 x^3\right) \log ^2(3)\right) \log ^2(x)+\left(4 x^2-64 x \log (3)+e^x \left(-4 x^2+2 x^3\right) \log (3)+256 \log ^2(3)\right) \log ^3(x)+\left(-10 x+2 x^2-2 x^3+\left(80-16 x+32 x^2\right) \log (3)-128 x \log ^2(3)\right) \log ^4(x)+\left(6-2 x+4 x^2-32 x \log (3)\right) \log ^5(x)-2 x \log ^6(x)\right)}{x \log ^2(3)} \, dx","Integrate[(4*E^(2*x)*x^4*Log[3]^2 + E^x*(4*x^3*Log[3] - 32*x^2*Log[3]^2)*Log[x] + E^x*((-6*x^2 + 6*x^3 - 2*x^4)*Log[3] + (-32*x^2 + 16*x^3)*Log[3]^2)*Log[x]^2 + (4*x^2 - 64*x*Log[3] + E^x*(-4*x^2 + 2*x^3)*Log[3] + 256*Log[3]^2)*Log[x]^3 + (-10*x + 2*x^2 - 2*x^3 + (80 - 16*x + 32*x^2)*Log[3] - 128*x*Log[3]^2)*Log[x]^4 + (6 - 2*x + 4*x^2 - 32*x*Log[3])*Log[x]^5 - 2*x*Log[x]^6)/(E^(2*x)*x*Log[3]^2),x]","\frac{e^{-2 x} \left(-2 e^{2 x} \left(16 \log ^2(3)-\log (81)\right) \text{Ei}(-x)+e^{2 x} x^4 \log ^2(3)+e^x x^3 \log (9) \log ^2(x)+x^2 \log ^4(x)-e^x x^2 \log (9) \log ^3(x)-16 e^x x^2 \log ^2(3) \log ^2(x)-2 e^{2 x} x^2 \log (9)+\log ^6(x)-2 x \log ^5(x)+2 \log (6561) \log ^5(x)-2 x \log (6561) \log ^4(x)+32 e^{2 x} \log ^2(3)-32 \gamma  e^{2 x} \log ^2(3)+64 \log ^2(3) \log ^4(x)+2 e^x \log (43046721) \log (x)-2 e^x \log (531441) \log (x)+2 e^x x \log (59049) \log (x)-2 e^x x \log (729) \log (x)-2 e^x \log (81) \log (x)-2 e^x x \log (81) \log (x)+2 \gamma  e^{2 x} \log (43046721)-2 \gamma  e^{2 x} \log (531441)-2 e^{2 x} \log (81)-2 e^{2 x} \left(16 \log ^2(3)-\log (81)\right) \Gamma (0,x)-2 e^x \log (9) \Gamma (2,-x)-2 e^x x \log (9) \Gamma (2,-x)\right)}{\log ^2(3)}","\left(e^{-x} \log ^2(x) \left(\frac{\log (x)-x}{\log (3)}+8\right)-x^2\right)^2",1,"(32*E^(2*x)*Log[3]^2 - 32*E^(2*x)*EulerGamma*Log[3]^2 + E^(2*x)*x^4*Log[3]^2 - 2*E^(2*x)*x^2*Log[9] - 2*E^x*Gamma[2, -x]*Log[9] - 2*E^x*x*Gamma[2, -x]*Log[9] - 2*E^(2*x)*ExpIntegralEi[-x]*(16*Log[3]^2 - Log[81]) - 2*E^(2*x)*Gamma[0, x]*(16*Log[3]^2 - Log[81]) - 2*E^(2*x)*Log[81] - 2*E^(2*x)*EulerGamma*Log[531441] + 2*E^(2*x)*EulerGamma*Log[43046721] - 2*E^x*Log[81]*Log[x] - 2*E^x*x*Log[81]*Log[x] - 2*E^x*x*Log[729]*Log[x] + 2*E^x*x*Log[59049]*Log[x] - 2*E^x*Log[531441]*Log[x] + 2*E^x*Log[43046721]*Log[x] - 16*E^x*x^2*Log[3]^2*Log[x]^2 + E^x*x^3*Log[9]*Log[x]^2 - E^x*x^2*Log[9]*Log[x]^3 + x^2*Log[x]^4 + 64*Log[3]^2*Log[x]^4 - 2*x*Log[6561]*Log[x]^4 - 2*x*Log[x]^5 + 2*Log[6561]*Log[x]^5 + Log[x]^6)/(E^(2*x)*Log[3]^2)","C",0
2779,1,22,23,0.2888535,"\int \frac{-3-147 x-75 x^2+\left(-147 x-150 x^2\right) \log (2 x)}{\left(5 x+490 x^2+12255 x^3+12250 x^4+3125 x^5\right) \log ^2(2 x)} \, dx","Integrate[(-3 - 147*x - 75*x^2 + (-147*x - 150*x^2)*Log[2*x])/((5*x + 490*x^2 + 12255*x^3 + 12250*x^4 + 3125*x^5)*Log[2*x]^2),x]","-\frac{3}{5 \left(-25 x^2-49 x-1\right) \log (2 x)}","\frac{3}{5 (25 (x+2) x-x+1) \log (2 x)}",1,"-3/(5*(-1 - 49*x - 25*x^2)*Log[2*x])","A",1
2780,1,20,24,0.0595494,"\int \frac{-15 x+(-135+15 x+15 \log (25)) \log (-9+x+\log (25))+\left(-18+2 x+2 \log (25)+e^x (-27+3 x+3 \log (25))\right) \log ^2(-9+x+\log (25))}{(-27+3 x+3 \log (25)) \log ^2(-9+x+\log (25))} \, dx","Integrate[(-15*x + (-135 + 15*x + 15*Log[25])*Log[-9 + x + Log[25]] + (-18 + 2*x + 2*Log[25] + E^x*(-27 + 3*x + 3*Log[25]))*Log[-9 + x + Log[25]]^2)/((-27 + 3*x + 3*Log[25])*Log[-9 + x + Log[25]]^2),x]","\frac{2 x}{3}+e^x+\frac{5 x}{\log (x-9+\log (25))}","e^x+\frac{1}{3} \left(2 x+\frac{15 x}{\log (x-9+\log (25))}+5\right)",1,"E^x + (2*x)/3 + (5*x)/Log[-9 + x + Log[25]]","A",1
2781,1,34,23,0.0577302,"\int \frac{-2 e^3+e^6 \left(-4 x+10 x^2\right)+e^6 \left(-2+20 x-50 x^2\right) \log (4)}{x^2+2 e^3 x^3+e^6 x^4+\left(2 x-10 x^2+e^3 \left(4 x^2-20 x^3\right)+e^6 \left(2 x^3-10 x^4\right)\right) \log (4)+\left(1-10 x+25 x^2+e^3 \left(2 x-20 x^2+50 x^3\right)+e^6 \left(x^2-10 x^3+25 x^4\right)\right) \log ^2(4)} \, dx","Integrate[(-2*E^3 + E^6*(-4*x + 10*x^2) + E^6*(-2 + 20*x - 50*x^2)*Log[4])/(x^2 + 2*E^3*x^3 + E^6*x^4 + (2*x - 10*x^2 + E^3*(4*x^2 - 20*x^3) + E^6*(2*x^3 - 10*x^4))*Log[4] + (1 - 10*x + 25*x^2 + E^3*(2*x - 20*x^2 + 50*x^3) + E^6*(x^2 - 10*x^3 + 25*x^4))*Log[4]^2),x]","-\frac{2 e^3 (1-5 x)}{\left(e^3 x+1\right) (x (5 \log (4)-1)-\log (4))}","\frac{2}{\left(x+\frac{1}{e^3}\right) \left(\frac{x}{1-5 x}+\log (4)\right)}",1,"(-2*E^3*(1 - 5*x))/((1 + E^3*x)*(-Log[4] + x*(-1 + 5*Log[4])))","A",1
2782,1,7,8,0.005108,"\int \frac{1-x \log (x)}{x \log (x)} \, dx","Integrate[(1 - x*Log[x])/(x*Log[x]),x]","\log (\log (x))-x","-x+\log (\log (x))+2",1,"-x + Log[Log[x]]","A",1
2783,1,30,30,0.2374408,"\int \frac{\exp \left(1-e^x-e^{\log ^2(-2+x)}+2 x+\log ^2\left(16-8 x+x^2\right)\right) \left(16-12 x+2 x^2+e^x \left(-8+6 x-x^2\right)+e^{\log ^2(-2+x)} (8-2 x) \log (-2+x)+(-8+4 x) \log \left(16-8 x+x^2\right)\right)}{8-6 x+x^2} \, dx","Integrate[(E^(1 - E^x - E^Log[-2 + x]^2 + 2*x + Log[16 - 8*x + x^2]^2)*(16 - 12*x + 2*x^2 + E^x*(-8 + 6*x - x^2) + E^Log[-2 + x]^2*(8 - 2*x)*Log[-2 + x] + (-8 + 4*x)*Log[16 - 8*x + x^2]))/(8 - 6*x + x^2),x]","e^{-e^x+2 x+\log ^2\left((x-4)^2\right)-e^{\log ^2(x-2)}+1}","e^{-e^x+2 x+\log ^2\left((x-4)^2\right)-e^{\log ^2(x-2)}+1}",1,"E^(1 - E^x - E^Log[-2 + x]^2 + 2*x + Log[(-4 + x)^2]^2)","A",1
2784,1,88,29,0.1512943,"\int \frac{e^{10} \left(1+4 x^2\right)+e^{5+x^2} \left(2 x^2+4 x^3-4 x^4\right)+e^{2 x^2} \left(-x^2+4 x^3-3 x^4\right)+e^{2 x^2} \log (x)}{e^{10} x+e^{5+x^2} \left(2 x^2-2 x^3\right)+e^{2 x^2} \left(x+x^3-2 x^4+x^5\right)+e^{2 x^2} x \log (x)} \, dx","Integrate[(E^10*(1 + 4*x^2) + E^(5 + x^2)*(2*x^2 + 4*x^3 - 4*x^4) + E^(2*x^2)*(-x^2 + 4*x^3 - 3*x^4) + E^(2*x^2)*Log[x])/(E^10*x + E^(5 + x^2)*(2*x^2 - 2*x^3) + E^(2*x^2)*(x + x^3 - 2*x^4 + x^5) + E^(2*x^2)*x*Log[x]),x]","2 x^2-\log \left(e^{2 x^2} x^2-2 e^{x^2+5} x^2+2 e^{x^2+5} x+e^{2 x^2}+e^{2 x^2} \log (x)+e^{2 x^2} x^4-2 e^{2 x^2} x^3+e^{10}\right)+\log (x)","\log \left(\frac{x}{\left(x^2-e^{5-x^2}-x\right)^2+\log (x)+1}\right)",1,"2*x^2 + Log[x] - Log[E^10 + E^(2*x^2) + 2*E^(5 + x^2)*x + E^(2*x^2)*x^2 - 2*E^(5 + x^2)*x^2 - 2*E^(2*x^2)*x^3 + E^(2*x^2)*x^4 + E^(2*x^2)*Log[x]]","B",1
2785,1,31,33,0.0765564,"\int \frac{12 x^8-8 x^9-12 x^{10}+e^{10} \left(6 x^3-4 x^4-6 x^5\right)+\left(12 x^8-4 x^9-4 x^{10}+e^{10} \left(-24 x^3+8 x^4+8 x^5\right)\right) \log \left(3 x-x^2-x^3\right)}{\left(e^{24} \left(-3+x+x^2\right)+e^{14} \left(-12 x^5+4 x^6+4 x^7\right)+e^4 \left(-12 x^{10}+4 x^{11}+4 x^{12}\right)\right) \log ^2\left(3 x-x^2-x^3\right)} \, dx","Integrate[(12*x^8 - 8*x^9 - 12*x^10 + E^10*(6*x^3 - 4*x^4 - 6*x^5) + (12*x^8 - 4*x^9 - 4*x^10 + E^10*(-24*x^3 + 8*x^4 + 8*x^5))*Log[3*x - x^2 - x^3])/((E^24*(-3 + x + x^2) + E^14*(-12*x^5 + 4*x^6 + 4*x^7) + E^4*(-12*x^10 + 4*x^11 + 4*x^12))*Log[3*x - x^2 - x^3]^2),x]","\frac{2 x^4}{e^4 \left(2 x^5+e^{10}\right) \log \left(-x \left(x^2+x-3\right)\right)}","\frac{2}{e^4 \left(\frac{e^{10}}{x^4}+2 x\right) \log \left(x \left(-x^2-x+3\right)\right)}",1,"(2*x^4)/(E^4*(E^10 + 2*x^5)*Log[-(x*(-3 + x + x^2))])","A",1
2786,1,14,16,0.0015176,"\int \frac{1}{80} \left(9 e^3 x^2-3 e^3 x^2 \log (9)\right) \, dx","Integrate[(9*E^3*x^2 - 3*E^3*x^2*Log[9])/80,x]","-\frac{1}{80} e^3 x^3 (\log (9)-3)","\frac{1}{80} e^3 x^3 (3-\log (9))",1,"-1/80*(E^3*x^3*(-3 + Log[9]))","A",1
2787,1,21,22,0.3271036,"\int \frac{-123904 x^2+5632 x^3-64 x^4+\left(4224 x+61856 x^2-4224 x^3+64 x^4\right) \log (x)+\left(-32-1408 x+64 x^2\right) \log ^2(x)+\left(123904 x^2-5632 x^3+64 x^4+\left(-2816 x-123840 x^2+8448 x^3-128 x^4\right) \log (x)+\left(2816 x-128 x^2\right) \log ^2(x)\right) \log \left(\log ^2(x)\right)+\left(\left(-1408 x+61984 x^2-4224 x^3+64 x^4\right) \log (x)+\left(32-1408 x+64 x^2\right) \log ^2(x)\right) \log ^2\left(\log ^2(x)\right)}{x \log (x)} \, dx","Integrate[(-123904*x^2 + 5632*x^3 - 64*x^4 + (4224*x + 61856*x^2 - 4224*x^3 + 64*x^4)*Log[x] + (-32 - 1408*x + 64*x^2)*Log[x]^2 + (123904*x^2 - 5632*x^3 + 64*x^4 + (-2816*x - 123840*x^2 + 8448*x^3 - 128*x^4)*Log[x] + (2816*x - 128*x^2)*Log[x]^2)*Log[Log[x]^2] + ((-1408*x + 61984*x^2 - 4224*x^3 + 64*x^4)*Log[x] + (32 - 1408*x + 64*x^2)*Log[x]^2)*Log[Log[x]^2]^2)/(x*Log[x]),x]","16 ((x-44) x+\log (x))^2 \left(\log \left(\log ^2(x)\right)-1\right)^2","16 \left(x^2-44 x+\log (x)\right)^2 \left(\log \left(\log ^2(x)\right)-1\right)^2",1,"16*((-44 + x)*x + Log[x])^2*(-1 + Log[Log[x]^2])^2","A",1
2788,1,25,28,0.0193282,"\int \left(-6+e^{7-x} (1-x)+4 x+2 e^3 x\right) \, dx","Integrate[-6 + E^(7 - x)*(1 - x) + 4*x + 2*E^3*x,x]","e^3 x^2+2 x^2+e^{7-x} x-6 x","\left(2 x+e^3 \left(x+e^{4-x}\right)-4\right) x-2 x+e^5+5",1,"-6*x + E^(7 - x)*x + 2*x^2 + E^3*x^2","A",1
2789,1,20,16,0.0598011,"\int \frac{8 x \log (x)+16 \log (\log (x))-16 \log (x) \log ^2(\log (x))}{5 x^3 \log (x)} \, dx","Integrate[(8*x*Log[x] + 16*Log[Log[x]] - 16*Log[x]*Log[Log[x]]^2)/(5*x^3*Log[x]),x]","\frac{8 \log ^2(\log (x))}{5 x^2}-\frac{8}{5 x}","\frac{8 \left(\log ^2(\log (x))-x\right)}{5 x^2}",1,"-8/(5*x) + (8*Log[Log[x]]^2)/(5*x^2)","A",1
2790,1,35,31,0.0070397,"\int \frac{-3+7 x-91 x^2-101 x^3+x^4+4 x^5}{3 x+3 x^2} \, dx","Integrate[(-3 + 7*x - 91*x^2 - 101*x^3 + x^4 + 4*x^5)/(3*x + 3*x^2),x]","\frac{x^4}{3}-\frac{x^3}{3}-\frac{49 x^2}{3}+\frac{7 x}{3}-\log (x)+\log (x+1)","-\left(\frac{1}{3} (x-1) x-16\right) \left(1-x^2\right)+2 x+\log \left(\frac{5}{x}+5\right)",1,"(7*x)/3 - (49*x^2)/3 - x^3/3 + x^4/3 - Log[x] + Log[1 + x]","A",1
2791,1,220,27,0.1604121,"\int \frac{\left(68-74 x+22 x^2-x^3\right) \log \left(4-4 x+x^2\right)+\left(-320+132 x-30 x^2+2 x^3\right) \log \left(\frac{-10+x}{32-10 x+2 x^2}\right)}{320-292 x+96 x^2-17 x^3+x^4} \, dx","Integrate[((68 - 74*x + 22*x^2 - x^3)*Log[4 - 4*x + x^2] + (-320 + 132*x - 30*x^2 + 2*x^3)*Log[(-10 + x)/(32 - 10*x + 2*x^2)])/(320 - 292*x + 96*x^2 - 17*x^3 + x^4),x]","2 \text{Li}_2\left(\frac{10-x}{8}\right)+2 \text{Li}_2\left(\frac{x-2}{8}\right)+2 \log (x-2) \log \left(-\frac{10-x}{2 \left(x^2-5 x+16\right)}\right)-2 \log (8) \log (x-10)+2 \log \left(\frac{-2 x-i \sqrt{39}+5}{1-i \sqrt{39}}\right) \log (x-2)+2 \log \left(\frac{-2 x+i \sqrt{39}+5}{1+i \sqrt{39}}\right) \log (x-2)-\log \left(\frac{-2 x-i \sqrt{39}+5}{1-i \sqrt{39}}\right) \log \left((x-2)^2\right)-\log \left(\frac{-2 x+i \sqrt{39}+5}{1+i \sqrt{39}}\right) \log \left((x-2)^2\right)+\log \left(\frac{10-x}{8}\right) \log \left((x-2)^2\right)","\log \left((x-2)^2\right) \log \left(\frac{5-\frac{x}{2}}{(5-x) x-16}\right)",1,"-2*Log[8]*Log[-10 + x] + 2*Log[(5 - I*Sqrt[39] - 2*x)/(1 - I*Sqrt[39])]*Log[-2 + x] + 2*Log[(5 + I*Sqrt[39] - 2*x)/(1 + I*Sqrt[39])]*Log[-2 + x] - Log[(5 - I*Sqrt[39] - 2*x)/(1 - I*Sqrt[39])]*Log[(-2 + x)^2] - Log[(5 + I*Sqrt[39] - 2*x)/(1 + I*Sqrt[39])]*Log[(-2 + x)^2] + Log[(10 - x)/8]*Log[(-2 + x)^2] + 2*Log[-2 + x]*Log[-1/2*(10 - x)/(16 - 5*x + x^2)] + 2*PolyLog[2, (10 - x)/8] + 2*PolyLog[2, (-2 + x)/8]","C",1
2792,1,18,18,0.0538629,"\int \frac{4-4 x-5 x^2+x^3+\left(-4+x^2\right) \log \left(\frac{3 e^x}{16 x-8 x^3+x^5}\right)}{-4+x^2} \, dx","Integrate[(4 - 4*x - 5*x^2 + x^3 + (-4 + x^2)*Log[(3*E^x)/(16*x - 8*x^3 + x^5)])/(-4 + x^2),x]","x \log \left(\frac{3 e^x}{x \left(x^2-4\right)^2}\right)","x \log \left(\frac{3 e^x}{x \left(x^2-4\right)^2}\right)",1,"x*Log[(3*E^x)/(x*(-4 + x^2)^2)]","A",1
2793,1,26,28,0.2878455,"\int \frac{-24 x-8 e x-80 x^2+e^{\frac{4+x}{x}} \left(12+23 x+10 x^2+e (4+x)\right)}{192 x+64 e x+e^{\frac{4+x}{x}} (-48 x-16 e x)+e^{\frac{2 (4+x)}{x}} (3 x+e x)} \, dx","Integrate[(-24*x - 8*E*x - 80*x^2 + E^((4 + x)/x)*(12 + 23*x + 10*x^2 + E*(4 + x)))/(192*x + 64*E*x + E^((4 + x)/x)*(-48*x - 16*E*x) + E^((2*(4 + x))/x)*(3*x + E*x)),x]","\frac{x (5 x+e+3)}{(3+e) \left(e^{\frac{4}{x}+1}-8\right)}","\frac{\frac{5 x^2}{3+e}+x}{e^{\frac{x+4}{x}}-8}+3",1,"(x*(3 + E + 5*x))/((3 + E)*(-8 + E^(1 + 4/x)))","A",1
2794,1,16,25,0.4042366,"\int \frac{-20+18 x+\left(5 e^3-20 x+9 x^2\right) \log \left(\frac{-5 e^3+20 x-9 x^2}{e^3}\right)}{\left(5 e^3-20 x+9 x^2\right) \log \left(\frac{-5 e^3+20 x-9 x^2}{e^3}\right)} \, dx","Integrate[(-20 + 18*x + (5*E^3 - 20*x + 9*x^2)*Log[(-5*E^3 + 20*x - 9*x^2)/E^3])/((5*E^3 - 20*x + 9*x^2)*Log[(-5*E^3 + 20*x - 9*x^2)/E^3]),x]","x+\log \left(\log \left(\frac{(20-9 x) x}{e^3}-5\right)\right)","\log \left(\log \left(\frac{x^2+5 (4-2 x) x}{e^3}-5\right)\right)+x+e^2",1,"x + Log[Log[-5 + ((20 - 9*x)*x)/E^3]]","A",1
2795,1,22,26,0.0928689,"\int \frac{2-e^{-5+x}}{8+4 e^{-5+x} x} \, dx","Integrate[(2 - E^(-5 + x))/(8 + 4*E^(-5 + x)*x),x]","\frac{x}{4}-\frac{1}{4} \log \left(e^x x+2 e^5\right)","\frac{1}{4} \left(x-\log \left(e^{x-5} x+2\right)\right)+\log \left(\frac{\log (4)}{4}\right)",1,"x/4 - Log[2*E^5 + E^x*x]/4","A",1
2796,1,18,23,0.0109574,"\int \frac{-2-x+\frac{(2+x) (20-15 \log (3))}{e}}{-40-20 x+(30+15 x) \log (3)} \, dx","Integrate[(-2 - x + ((2 + x)*(20 - 15*Log[3]))/E)/(-40 - 20*x + (30 + 15*x)*Log[3]),x]","x \left(-\frac{1}{e}-\frac{1}{5 (\log (27)-4)}\right)","-\frac{x+2}{e}-\frac{x}{5 (3 \log (3)-4)}+1",1,"x*(-E^(-1) - 1/(5*(-4 + Log[27])))","A",1
2797,1,28,19,0.1103878,"\int \frac{e^{27}+e^{3-e^2+x} (1-x)}{e^{27} x+e^{3-e^2+x} x+e^3 x^2} \, dx","Integrate[(E^27 + E^(3 - E^2 + x)*(1 - x))/(E^27*x + E^(3 - E^2 + x)*x + E^3*x^2),x]","\log (x)-\log \left(e^{24+e^2} x+e^{x+24}+e^{48+e^2}\right)","\log \left(\frac{x}{x+e^{x-e^2}+e^{24}}\right)",1,"Log[x] - Log[E^(48 + E^2) + E^(24 + x) + E^(24 + E^2)*x]","A",1
2798,1,23,23,0.4007983,"\int \frac{-1024 x^3+e^{2+2 e^{9 x}} \left(160 x^4-2880 e^{9 x} x^5\right)}{-4096+3840 e^{2+2 e^{9 x}} x-1200 e^{4+4 e^{9 x}} x^2+125 e^{6+6 e^{9 x}} x^3} \, dx","Integrate[(-1024*x^3 + E^(2 + 2*E^(9*x))*(160*x^4 - 2880*E^(9*x)*x^5))/(-4096 + 3840*E^(2 + 2*E^(9*x))*x - 1200*E^(4 + 4*E^(9*x))*x^2 + 125*E^(6 + 6*E^(9*x))*x^3),x]","\frac{16 x^4}{\left(5 e^{2 e^{9 x}+2} x-16\right)^2}","\frac{16 x^4}{\left(16-5 e^{2 e^{9 x}+2} x\right)^2}",1,"(16*x^4)/(-16 + 5*E^(2 + 2*E^(9*x))*x)^2","A",1
2799,1,47,17,0.0563405,"\int \frac{-18+36 x-18 x^2+\left(-18 x+18 x^2\right) \log (x)+2 x^2 \log ^3(x)}{x \log ^3(x)} \, dx","Integrate[(-18 + 36*x - 18*x^2 + (-18*x + 18*x^2)*Log[x] + 2*x^2*Log[x]^3)/(x*Log[x]^3),x]","18 \left(\text{Ei}(\log (x))-\frac{x (\log (x)+1)}{\log ^2(x)}\right)-18 \text{li}(x)+x^2+\frac{9 x^2}{\log ^2(x)}+\frac{9}{\log ^2(x)}+\frac{18 x}{\log (x)}","x^2+\frac{(3 x-3)^2}{\log ^2(x)}-2",1,"x^2 + 9/Log[x]^2 + (9*x^2)/Log[x]^2 + (18*x)/Log[x] + 18*(ExpIntegralEi[Log[x]] - (x*(1 + Log[x]))/Log[x]^2) - 18*LogIntegral[x]","C",1
2800,1,19,16,0.0054865,"\int \frac{-12+4 e^2}{1444+4 e^4+e^2 (152-44 x)-836 x+121 x^2} \, dx","Integrate[(-12 + 4*E^2)/(1444 + 4*E^4 + E^2*(152 - 44*x) - 836*x + 121*x^2),x]","\frac{4 \left(e^2-3\right)}{-121 x+22 e^2+418}","\frac{x-4}{-\frac{11 x}{2}+e^2+19}",1,"(4*(-3 + E^2))/(418 + 22*E^2 - 121*x)","A",1
2801,1,28,29,0.1001512,"\int \frac{80 e^2+e^4 x^2+e^{2 e^{3+4 e^4+x}} x^2+e^{e^{3+4 e^4+x}} \left(80+2 e^2 x^2+e^{3+4 e^4+x} \left(80 x-80 x^2\right)\right)}{e^4 x^2+e^{2 e^{3+4 e^4+x}} x^2+2 e^{2+e^{3+4 e^4+x}} x^2} \, dx","Integrate[(80*E^2 + E^4*x^2 + E^(2*E^(3 + 4*E^4 + x))*x^2 + E^E^(3 + 4*E^4 + x)*(80 + 2*E^2*x^2 + E^(3 + 4*E^4 + x)*(80*x - 80*x^2)))/(E^4*x^2 + E^(2*E^(3 + 4*E^4 + x))*x^2 + 2*E^(2 + E^(3 + 4*E^4 + x))*x^2),x]","\frac{80 (x-1)}{\left(e^{e^{x+4 e^4+3}}+e^2\right) x}+x","\frac{20 \left(4-\frac{4}{x}\right)}{e^{e^{x+4 e^4+3}}+e^2}+x",1,"(80*(-1 + x))/((E^2 + E^E^(3 + 4*E^4 + x))*x) + x","A",1
2802,1,28,27,0.166953,"\int \frac{e^{\frac{9 x}{\log \left(\frac{e^{10}+2 e^5 x+x^2}{e^8}\right)}} \left(36 x+\left(-18 e^5-18 x\right) \log \left(\frac{e^{10}+2 e^5 x+x^2}{e^8}\right)\right)}{e^{\frac{18 x}{\log \left(\frac{e^{10}+2 e^5 x+x^2}{e^8}\right)}} \left(e^5+x\right) \log ^2\left(\frac{e^{10}+2 e^5 x+x^2}{e^8}\right)+e^{\frac{9 x}{\log \left(\frac{e^{10}+2 e^5 x+x^2}{e^8}\right)}} \left(2 e^7+2 e^2 x\right) \log ^2\left(\frac{e^{10}+2 e^5 x+x^2}{e^8}\right)+\left(e^9+e^4 x\right) \log ^2\left(\frac{e^{10}+2 e^5 x+x^2}{e^8}\right)} \, dx","Integrate[(E^((9*x)/Log[(E^10 + 2*E^5*x + x^2)/E^8])*(36*x + (-18*E^5 - 18*x)*Log[(E^10 + 2*E^5*x + x^2)/E^8]))/(E^((18*x)/Log[(E^10 + 2*E^5*x + x^2)/E^8])*(E^5 + x)*Log[(E^10 + 2*E^5*x + x^2)/E^8]^2 + E^((9*x)/Log[(E^10 + 2*E^5*x + x^2)/E^8])*(2*E^7 + 2*E^2*x)*Log[(E^10 + 2*E^5*x + x^2)/E^8]^2 + (E^9 + E^4*x)*Log[(E^10 + 2*E^5*x + x^2)/E^8]^2),x]","-\frac{2}{e^2 \left(e^{2-\frac{9 x}{\log \left(\left(x+e^5\right)^2\right)-8}}+1\right)}","\frac{2}{e^{\frac{9 x}{\log \left(\frac{\left(x+e^5\right)^2}{e^8}\right)}}+e^2}",1,"-2/(E^2*(1 + E^(2 - (9*x)/(-8 + Log[(E^5 + x)^2]))))","A",1
2803,1,26,28,1.1076606,"\int \frac{-1+x+2 x^2-6 x^3+4 x^4}{-6 x+x^2+x \log \left(\frac{1}{5} e^{x^2-2 x^3+x^4}\right)+x \log \left(\frac{2}{x}\right)} \, dx","Integrate[(-1 + x + 2*x^2 - 6*x^3 + 4*x^4)/(-6*x + x^2 + x*Log[E^(x^2 - 2*x^3 + x^4)/5] + x*Log[2/x]),x]","\log \left(\log \left(\frac{1}{5} e^{(x-1)^2 x^2}\right)+x+\log \left(\frac{2}{x}\right)-6\right)","\log \left(\log \left(\frac{1}{5} e^{(x-1)^2 x^2}\right)+x+\log \left(\frac{2}{x}\right)-6\right)-1",1,"Log[-6 + x + Log[E^((-1 + x)^2*x^2)/5] + Log[2/x]]","A",1
2804,1,91,29,0.1113251,"\int \frac{20000+7000 x-3100 x^2-1940 x^3-340 x^4-32 x^5-12 x^6+\left(-4 x^5-4 x^6\right) \log \left(8-2 x-x^2\right)}{-8 x^5+2 x^6+x^7} \, dx","Integrate[(20000 + 7000*x - 3100*x^2 - 1940*x^3 - 340*x^4 - 32*x^5 - 12*x^6 + (-4*x^5 - 4*x^6)*Log[8 - 2*x - x^2])/(-8*x^5 + 2*x^6 + x^7),x]","\frac{625}{x^4}+\frac{500}{x^3}+\frac{150}{x^2}-2 \left(\log \left(-6 \left(x^2+2 x-8\right)\right)-\log (x+4)+3\right) \log (x-2)-2 \log (x+4) \log \left(-x^2-2 x+8\right)+\frac{20}{x}+\log ^2(x-2)+\log ^2(x+4)+2 \log (6) \log (4-2 x)-6 \log (x+4)","\left(\frac{5 (x+1)}{x}-4\right)^4-(\log ((2-x) (x+4))+3)^2",1,"625/x^4 + 500/x^3 + 150/x^2 + 20/x + 2*Log[6]*Log[4 - 2*x] + Log[-2 + x]^2 - 6*Log[4 + x] + Log[4 + x]^2 - 2*Log[4 + x]*Log[8 - 2*x - x^2] - 2*Log[-2 + x]*(3 - Log[4 + x] + Log[-6*(-8 + 2*x + x^2)])","B",1
2805,1,16,18,0.0586851,"\int \frac{e^{-x} \left(2+(-1-x) \log \left(x^2\right)\right)}{5 x^2} \, dx","Integrate[(2 + (-1 - x)*Log[x^2])/(5*E^x*x^2),x]","\frac{e^{-x} \log \left(x^2\right)}{5 x}","\frac{e^{-x} \log \left(x^2\right)}{5 x}+1",1,"Log[x^2]/(5*E^x*x)","A",1
2806,1,57407,29,13.970381,"\int \frac{\left(4 x^6+8 x^3 \log (4)\right) \log \left(\frac{121 x^4-110 x^5+25 x^6+\left(110 x^2-50 x^3\right) \log (4)+25 \log ^2(4)}{4 x^4-4 x^5+x^6+\left(4 x^2-2 x^3\right) \log (4)+\log ^2(4)}\right)+\left(44 x^5-42 x^6+10 x^7+\left(42 x^3-20 x^4\right) \log (4)+10 x \log ^2(4)\right) \log ^2\left(\frac{121 x^4-110 x^5+25 x^6+\left(110 x^2-50 x^3\right) \log (4)+25 \log ^2(4)}{4 x^4-4 x^5+x^6+\left(4 x^2-2 x^3\right) \log (4)+\log ^2(4)}\right)}{22 x^4-21 x^5+5 x^6+\left(21 x^2-10 x^3\right) \log (4)+5 \log ^2(4)} \, dx","Integrate[((4*x^6 + 8*x^3*Log[4])*Log[(121*x^4 - 110*x^5 + 25*x^6 + (110*x^2 - 50*x^3)*Log[4] + 25*Log[4]^2)/(4*x^4 - 4*x^5 + x^6 + (4*x^2 - 2*x^3)*Log[4] + Log[4]^2)] + (44*x^5 - 42*x^6 + 10*x^7 + (42*x^3 - 20*x^4)*Log[4] + 10*x*Log[4]^2)*Log[(121*x^4 - 110*x^5 + 25*x^6 + (110*x^2 - 50*x^3)*Log[4] + 25*Log[4]^2)/(4*x^4 - 4*x^5 + x^6 + (4*x^2 - 2*x^3)*Log[4] + Log[4]^2)]^2)/(22*x^4 - 21*x^5 + 5*x^6 + (21*x^2 - 10*x^3)*Log[4] + 5*Log[4]^2),x]","\text{Result too large to show}","x^2 \log ^2\left(\left(\frac{x}{x^2-2 x-\frac{\log (4)}{x}}-5\right)^2\right)",1,"Result too large to show","C",0
2807,1,18,18,0.0192101,"\int -\frac{2 e^{\frac{1}{5} \log ^2(2-x)} \log (2-x)}{-160+80 x+e^{\frac{2}{5} \log ^2(2-x)} (-10+5 x)+e^{\frac{1}{5} \log ^2(2-x)} (-80+40 x)} \, dx","Integrate[(-2*E^(Log[2 - x]^2/5)*Log[2 - x])/(-160 + 80*x + E^((2*Log[2 - x]^2)/5)*(-10 + 5*x) + E^(Log[2 - x]^2/5)*(-80 + 40*x)),x]","\frac{1}{e^{\frac{1}{5} \log ^2(2-x)}+4}","\frac{1}{e^{\frac{1}{5} \log ^2(2-x)}+4}",1,"(4 + E^(Log[2 - x]^2/5))^(-1)","A",1
2808,1,24,23,1.149843,"\int \frac{\exp \left(\frac{16+12 x^2+3 x^3+e^x \left(4 x^2+x^3\right)}{4 x^2+x^3}\right) \left(-256-96 x+e^x \left(32 x^3+16 x^4+2 x^5\right)\right)}{16 x^3+8 x^4+x^5} \, dx","Integrate[(E^((16 + 12*x^2 + 3*x^3 + E^x*(4*x^2 + x^3))/(4*x^2 + x^3))*(-256 - 96*x + E^x*(32*x^3 + 16*x^4 + 2*x^5)))/(16*x^3 + 8*x^4 + x^5),x]","2 e^{\frac{4}{x^2}+e^x+\frac{1}{x+4}-\frac{1}{x}+3}","2 \left(e^{\frac{16}{x^2 (x+4)}+e^x+3}-3\right)+3",1,"2*E^(3 + E^x + 4/x^2 - x^(-1) + (4 + x)^(-1))","A",1
2809,1,35,30,0.4510199,"\int \frac{3+2 e^{5+x} x^2-4 e^{2+2 x} x^2}{-3 x-2 x^2-8 e^2 x^2+2 e^{5+x} x^2-2 e^{2+2 x} x^2} \, dx","Integrate[(3 + 2*E^(5 + x)*x^2 - 4*E^(2 + 2*x)*x^2)/(-3*x - 2*x^2 - 8*E^2*x^2 + 2*E^(5 + x)*x^2 - 2*E^(2 + 2*x)*x^2),x]","\log \left(-2 e^{x+5} x+2 e^{2 x+2} x+8 e^2 x+2 x+3\right)-\log (x)","\log \left(4 \left(e^2 \left(e^{2 x}-e^{x+3}+4\right)+\frac{3}{2 x}+1\right)\right)",1,"-Log[x] + Log[3 + 2*x + 8*E^2*x - 2*E^(5 + x)*x + 2*E^(2 + 2*x)*x]","A",1
2810,1,26,38,0.03806,"\int \frac{121+400 x-1100 x^2+2500 x^4+\left(220-1000 x^2\right) \left(i \pi +\log \left(-\log \left(\frac{\log (4)}{2}\right)\right)\right)+100 \left(i \pi +\log \left(-\log \left(\frac{\log (4)}{2}\right)\right)\right)^2}{121-1100 x^2+2500 x^4+\left(220-1000 x^2\right) \left(i \pi +\log \left(-\log \left(\frac{\log (4)}{2}\right)\right)\right)+100 \left(i \pi +\log \left(-\log \left(\frac{\log (4)}{2}\right)\right)\right)^2} \, dx","Integrate[(121 + 400*x - 1100*x^2 + 2500*x^4 + (220 - 1000*x^2)*(I*Pi + Log[-Log[Log[4]/2]]) + 100*(I*Pi + Log[-Log[Log[4]/2]])^2)/(121 - 1100*x^2 + 2500*x^4 + (220 - 1000*x^2)*(I*Pi + Log[-Log[Log[4]/2]]) + 100*(I*Pi + Log[-Log[Log[4]/2]])^2),x]","x-\frac{4}{50 x^2-10 i \pi -11-10 \log (-\log (\log (2)))}","\frac{2}{-25 x^2+\frac{1}{2}+5 \left(1+i \pi +\log \left(-\log \left(\frac{\log (4)}{2}\right)\right)\right)}+x-\log (4)",1,"x - 4/(-11 - (10*I)*Pi + 50*x^2 - 10*Log[-Log[Log[2]]])","A",1
2811,1,7,7,0.0154902,"\int \frac{1}{3-x+(-3+x) \log (-3+x)} \, dx","Integrate[(3 - x + (-3 + x)*Log[-3 + x])^(-1),x]","\log (\log (x-3)-1)","\log (\log (x-3)-1)",1,"Log[-1 + Log[-3 + x]]","A",1
2812,1,45,34,0.2252927,"\int \frac{108 x+126 x^2+36 x^3+50 x^5+\left(100 x^3+150 x^4+50 x^5\right) \log (3)+e^{3 x} \left(-50 x^2+\left(-100-150 x-50 x^2\right) \log (3)\right)+e^{2 x} \left(150 x^3+\left(300 x+450 x^2+150 x^3\right) \log (3)\right)+e^x \left(-36-126 x-90 x^2-18 x^3-150 x^4+\left(-300 x^2-450 x^3-150 x^4\right) \log (3)\right)}{-200 x^5-300 x^6-150 x^7-25 x^8+e^{3 x} \left(200 x^2+300 x^3+150 x^4+25 x^5\right)+e^{2 x} \left(-600 x^3-900 x^4-450 x^5-75 x^6\right)+e^x \left(600 x^4+900 x^5+450 x^6+75 x^7\right)} \, dx","Integrate[(108*x + 126*x^2 + 36*x^3 + 50*x^5 + (100*x^3 + 150*x^4 + 50*x^5)*Log[3] + E^(3*x)*(-50*x^2 + (-100 - 150*x - 50*x^2)*Log[3]) + E^(2*x)*(150*x^3 + (300*x + 450*x^2 + 150*x^3)*Log[3]) + E^x*(-36 - 126*x - 90*x^2 - 18*x^3 - 150*x^4 + (-300*x^2 - 450*x^3 - 150*x^4)*Log[3]))/(-200*x^5 - 300*x^6 - 150*x^7 - 25*x^8 + E^(3*x)*(200*x^2 + 300*x^3 + 150*x^4 + 25*x^5) + E^(2*x)*(-600*x^3 - 900*x^4 - 450*x^5 - 75*x^6) + E^x*(600*x^4 + 900*x^5 + 450*x^6 + 75*x^7)),x]","\frac{1}{100} \left(\frac{\frac{36}{\left(e^x-x\right)^2 (x+2)}+25 \log (9)}{x}-\frac{50 (x \log (3)-2+\log (9))}{(x+2)^2}\right)","\frac{\frac{x}{x+2}+\frac{9}{25 \left(x-e^x\right)^2}+\log (3)}{x (x+2)}+3",1,"((-50*(-2 + x*Log[3] + Log[9]))/(2 + x)^2 + (36/((E^x - x)^2*(2 + x)) + 25*Log[9])/x)/100","A",1
2813,1,34,26,0.0222437,"\int \left(2-e^{-3+x}+e^{e^4} \left(2-e^{-3+x}\right)-2 x\right) \, dx","Integrate[2 - E^(-3 + x) + E^E^4*(2 - E^(-3 + x)) - 2*x,x]","-x^2+2 e^{e^4} x+2 x-e^{x-3}-e^{x+e^4-3}","\left(1+e^{e^4}\right) \left(2 x-e^{x-3}+2\right)-x^2",1,"-E^(-3 + x) - E^(-3 + E^4 + x) + 2*x + 2*E^E^4*x - x^2","A",1
2814,1,13,19,0.0111038,"\int \frac{e^{-8+4 x} (2-24 x+8 x \log (x))}{x} \, dx","Integrate[(E^(-8 + 4*x)*(2 - 24*x + 8*x*Log[x]))/x,x]","2 e^{4 x-8} (\log (x)-3)","1-2 e^{-4 (2-x)} (3-\log (x))",1,"2*E^(-8 + 4*x)*(-3 + Log[x])","A",1
2815,1,19,20,0.1215444,"\int \frac{1}{4} e^{\frac{1}{4} \left(24+6 e^x+5 x+x^4\right)} \left(5+6 e^x+4 x^3\right) \, dx","Integrate[(E^((24 + 6*E^x + 5*x + x^4)/4)*(5 + 6*E^x + 4*x^3))/4,x]","e^{\frac{1}{4} \left(x^4+5 x+6 e^x+24\right)}","e^{\frac{1}{4} \left(x^4+x+6 e^x+4\right)+x+5}",1,"E^((24 + 6*E^x + 5*x + x^4)/4)","A",1
2816,1,28,24,1.2617759,"\int \frac{\left(-1+x^2\right) \left(\frac{-1+x^2}{x}\right)^{e^{e^{15+x^2-2 x \log (2)+\log ^2(2)}}} \left(1+x^2+e^{e^{15+x^2-2 x \log (2)+\log ^2(2)}} \left(1+x^2+e^{15+x^2-2 x \log (2)+\log ^2(2)} \left(-2 x^2+2 x^4+\left(2 x-2 x^3\right) \log (2)\right) \log \left(\frac{-1+x^2}{x}\right)\right)\right)}{x \left(-x+x^3\right)} \, dx","Integrate[((-1 + x^2)*((-1 + x^2)/x)^E^E^(15 + x^2 - 2*x*Log[2] + Log[2]^2)*(1 + x^2 + E^E^(15 + x^2 - 2*x*Log[2] + Log[2]^2)*(1 + x^2 + E^(15 + x^2 - 2*x*Log[2] + Log[2]^2)*(-2*x^2 + 2*x^4 + (2*x - 2*x^3)*Log[2])*Log[(-1 + x^2)/x])))/(x*(-x + x^3)),x]","\left(x-\frac{1}{x}\right)^{e^{e^{x^2-x \log (4)+15+\log ^2(2)}}+1}","\left(x-\frac{1}{x}\right)^{e^{e^{(x-\log (2))^2+15}}+1}",1,"(-x^(-1) + x)^(1 + E^E^(15 + x^2 + Log[2]^2 - x*Log[4]))","A",1
2817,1,15,16,0.0006745,"\int (-6-2 x) \log (4) \, dx","Integrate[(-6 - 2*x)*Log[4],x]","-2 \left(\frac{x^2}{2}+3 x\right) \log (4)","x-(x ((x+6) \log (4)+1))-4+\log (5)",1,"-2*(3*x + x^2/2)*Log[4]","A",1
2818,1,14,25,0.0037792,"\int \left(-\log (2)+3 e^{2+x} \log (2)\right) \, dx","Integrate[-Log[2] + 3*E^(2 + x)*Log[2],x]","\left(3 e^{x+2}-x\right) \log (2)","3 \left(\left(\frac{2-x}{3}+e^{x+2}-e\right) \log (2)+6\right)",1,"(3*E^(2 + x) - x)*Log[2]","A",1
2819,1,28,28,5.1273039,"\int \frac{\log (e x) \left(e^{x+x^2} (-4+2 x)-2 e^{x+x^2} \log \left(x^2\right)\right)+\log ^2(e x) \left(e^{x+x^2} \left(4-4 x-3 x^2+2 x^3\right)+e^{x+x^2} \left(1-x-2 x^2\right) \log \left(x^2\right)\right)}{4 x^2-4 x^3+x^4+\left(4 x^2-2 x^3\right) \log \left(x^2\right)+x^2 \log ^2\left(x^2\right)} \, dx","Integrate[(Log[E*x]*(E^(x + x^2)*(-4 + 2*x) - 2*E^(x + x^2)*Log[x^2]) + Log[E*x]^2*(E^(x + x^2)*(4 - 4*x - 3*x^2 + 2*x^3) + E^(x + x^2)*(1 - x - 2*x^2)*Log[x^2]))/(4*x^2 - 4*x^3 + x^4 + (4*x^2 - 2*x^3)*Log[x^2] + x^2*Log[x^2]^2),x]","\frac{e^{x^2+x} (\log (x)+1)^2}{x \left(-\log \left(x^2\right)+x-2\right)}","\frac{e^{x (x+1)} \log ^2(e x)}{x \left(-\log \left(x^2\right)+x-2\right)}",1,"(E^(x + x^2)*(1 + Log[x])^2)/(x*(-2 + x - Log[x^2]))","A",1
2820,1,15,15,0.0133626,"\int \frac{e^{-e^{\frac{1}{5+x}}} \left(25+e^{\frac{1}{5+x}} (-3+x)+10 x+x^2\right)}{25+10 x+x^2} \, dx","Integrate[(25 + E^(5 + x)^(-1)*(-3 + x) + 10*x + x^2)/(E^E^(5 + x)^(-1)*(25 + 10*x + x^2)),x]","e^{-e^{\frac{1}{x+5}}} (x-3)","e^{-e^{\frac{1}{x+5}}} (x-3)",1,"(-3 + x)/E^E^(5 + x)^(-1)","A",1
2821,1,29,25,0.4396322,"\int \frac{e^{-\frac{2 (25+x+25 x \log (5))}{1+x \log (5)}} \left(e^x \left(-1+x+\left(-2 x-2 x^2\right) \log (5)+\left(-x^2-x^3\right) \log ^2(5)\right)+e^{\frac{2 (25+x+25 x \log (5))}{1+x \log (5)}} \left(-6+2 x+\left(-12 x+4 x^2\right) \log (5)+\left(-6 x^2+2 x^3\right) \log ^2(5)\right)\right)}{1+2 x \log (5)+x^2 \log ^2(5)} \, dx","Integrate[(E^x*(-1 + x + (-2*x - 2*x^2)*Log[5] + (-x^2 - x^3)*Log[5]^2) + E^((2*(25 + x + 25*x*Log[5]))/(1 + x*Log[5]))*(-6 + 2*x + (-12*x + 4*x^2)*Log[5] + (-6*x^2 + 2*x^3)*Log[5]^2))/(E^((2*(25 + x + 25*x*Log[5]))/(1 + x*Log[5]))*(1 + 2*x*Log[5] + x^2*Log[5]^2)),x]","x \left(x-e^{x-\frac{2 (x+25 x \log (5)+25)}{x \log (5)+1}}-6\right)","(x-3)^2-x e^{x-\frac{2 x}{x \log (5)+1}-50}",1,"x*(-6 - E^(x - (2*(25 + x + 25*x*Log[5]))/(1 + x*Log[5])) + x)","A",1
2822,1,23,26,0.1232655,"\int \frac{4+2 x-e^{3+x} x+\left(4+e^{3+x} \left(-2 x-x^2\right)\right) \log (x)+\left(x+\left(4-e^{3+x} x\right) \log (x)\right) \log \left(x+\left(4-e^{3+x} x\right) \log (x)\right)}{-x+\left(-4+e^{3+x} x\right) \log (x)} \, dx","Integrate[(4 + 2*x - E^(3 + x)*x + (4 + E^(3 + x)*(-2*x - x^2))*Log[x] + (x + (4 - E^(3 + x)*x)*Log[x])*Log[x + (4 - E^(3 + x)*x)*Log[x]])/(-x + (-4 + E^(3 + x)*x)*Log[x]),x]","x \left(-\log \left(x+\left(4-e^{x+3} x\right) \log (x)\right)\right)-x","-x+x \left(-\log \left(x-\left(e^{x+3} x-4\right) \log (x)\right)\right)-5+\log (2)",1,"-x - x*Log[x + (4 - E^(3 + x)*x)*Log[x]]","A",1
2823,1,21,20,0.3224628,"\int \frac{-101+e^3-4 e^x+8 x+\left(-8 x+4 e^x x\right) \log (x)}{10201 x+e^6 x+16 e^{2 x} x-1616 x^2+64 x^3+e^x \left(808 x-8 e^3 x-64 x^2\right)+e^3 \left(-202 x+16 x^2\right)} \, dx","Integrate[(-101 + E^3 - 4*E^x + 8*x + (-8*x + 4*E^x*x)*Log[x])/(10201*x + E^6*x + 16*E^(2*x)*x - 1616*x^2 + 64*x^3 + E^x*(808*x - 8*E^3*x - 64*x^2) + E^3*(-202*x + 16*x^2)),x]","-\frac{\log (x)}{-8 x+4 e^x-e^3+101}","\frac{\log (x)}{-4 \left(-2 x+e^x+25\right)+e^3-1}",1,"-(Log[x]/(101 - E^3 + 4*E^x - 8*x))","A",1
2824,1,175,26,0.1318978,"\int \frac{-936-1848 x+2256 x^2+640 x^3+\left(-480-984 x-2408 x^2-640 x^3\right) \log \left(\frac{9+3 x}{x}\right)+\left(480 x+640 x^2+160 x^3\right) \log ^2\left(\frac{9+3 x}{x}\right)}{15 x+5 x^2} \, dx","Integrate[(-936 - 1848*x + 2256*x^2 + 640*x^3 + (-480 - 984*x - 2408*x^2 - 640*x^3)*Log[(9 + 3*x)/x] + (480*x + 640*x^2 + 160*x^3)*Log[(9 + 3*x)/x]^2)/(15*x + 5*x^2),x]","\frac{8}{5} \left(-20 \text{Li}_2\left(-\frac{3}{x}\right)+100 \text{Li}_2\left(-\frac{x}{3}\right)-120 \text{Li}_2\left(\frac{x+3}{x}\right)+40 x^2+10 x^2 \log ^2\left(\frac{9}{x}+3\right)-40 x^2 \log \left(\frac{9}{x}+3\right)-78 x+20 x \log ^2\left(\frac{3 (x+3)}{x}\right)+50 \log ^2(x+3)+60 \log ^2\left(\frac{3 (x+3)}{x}\right)-x \log \left(\frac{3 (x+3)}{x}\right)-120 \log (3) \log (x)-42 \log (x)-100 \log \left(\frac{9}{x}+3\right) \log (x+3)+42 \log (x+3)-120 \log \left(-\frac{3}{x}\right) \log \left(\frac{3 (x+3)}{x}\right)-3 \log \left(\frac{3 (x+3)}{x}\right)\right)","\left(1-4 \left(-2 x+(x+1) \log \left(\frac{3 (x+3)}{x}\right)+\frac{11}{5}\right)\right)^2",1,"(8*(-78*x + 40*x^2 - 40*x^2*Log[3 + 9/x] + 10*x^2*Log[3 + 9/x]^2 - 42*Log[x] - 120*Log[3]*Log[x] + 42*Log[3 + x] - 100*Log[3 + 9/x]*Log[3 + x] + 50*Log[3 + x]^2 - 3*Log[(3*(3 + x))/x] - x*Log[(3*(3 + x))/x] - 120*Log[-3/x]*Log[(3*(3 + x))/x] + 60*Log[(3*(3 + x))/x]^2 + 20*x*Log[(3*(3 + x))/x]^2 - 20*PolyLog[2, -3/x] + 100*PolyLog[2, -1/3*x] - 120*PolyLog[2, (3 + x)/x]))/5","C",1
2825,1,26,23,0.3391927,"\int \frac{-80 x+\frac{e^{3+2 x} (-128+128 x)}{x^2}}{\frac{16 e^{6+4 x}}{x^3}+10816 x-1040 x^2+25 x^3+\frac{e^{3+2 x} \left(832 x-40 x^2\right)}{x^2}} \, dx","Integrate[(-80*x + (E^(3 + 2*x)*(-128 + 128*x))/x^2)/((16*E^(6 + 4*x))/x^3 + 10816*x - 1040*x^2 + 25*x^3 + (E^(3 + 2*x)*(832*x - 40*x^2))/x^2),x]","\frac{16 x^2}{x^2 (5 x-104)-4 e^{2 x+3}}","\frac{4}{-\frac{e^{2 x+3}}{x^2}+\frac{5 x}{4}-26}",1,"(16*x^2)/(-4*E^(3 + 2*x) + x^2*(-104 + 5*x))","A",1
2826,1,11,14,0.0162512,"\int \frac{13+\left(68 x+26 x^2\right) \log (34+13 x)}{(34+13 x) \log (34+13 x)} \, dx","Integrate[(13 + (68*x + 26*x^2)*Log[34 + 13*x])/((34 + 13*x)*Log[34 + 13*x]),x]","x^2+\log (\log (13 x+34))","x^2+\log (\log (x+12 (x+3)-2))",1,"x^2 + Log[Log[34 + 13*x]]","A",1
2827,1,15,20,0.0000767,"\int \left(1+9 \log (5)-\log ^2(\log (5))\right) \, dx","Integrate[1 + 9*Log[5] - Log[Log[5]]^2,x]","x+x \left(-\log ^2(\log (5))\right)+9 x \log (5)","x+x \left(-\log ^2(\log (5))\right)+3 (3 x \log (5)-1)-1",1,"x + 9*x*Log[5] - x*Log[Log[5]]^2","A",1
2828,1,39,24,0.0238591,"\int \frac{2 x-3 x^3+\left(2 x-2 x^2\right) \log (1-x)+(-2+2 x) \log (x)+(-1+x) \log ^2(x)}{-1+x} \, dx","Integrate[(2*x - 3*x^3 + (2*x - 2*x^2)*Log[1 - x] + (-2 + 2*x)*Log[x] + (-1 + x)*Log[x]^2)/(-1 + x),x]","-x^3-x^2-\left(x^2-1\right) \log (1-x)+x \log ^2(x)-\log (x-1)+\frac{7}{2}","x^2+x \left(\log ^2(x)-x (x+\log (1-x)+2)\right)+6",1,"7/2 - x^2 - x^3 - (-1 + x^2)*Log[1 - x] - Log[-1 + x] + x*Log[x]^2","A",1
2829,1,27,28,0.3994028,"\int \frac{720-192 x-86 x^2+28 x^3+2 x^4+e^x \left(-180+228 x-56 x^2-12 x^3+4 x^4\right)}{576-336 x+x^2+14 x^3+x^4+e^{2 x} \left(36-24 x+4 x^2\right)+e^x \left(-288+180 x-16 x^2-4 x^3\right)} \, dx","Integrate[(720 - 192*x - 86*x^2 + 28*x^3 + 2*x^4 + E^x*(-180 + 228*x - 56*x^2 - 12*x^3 + 4*x^4))/(576 - 336*x + x^2 + 14*x^3 + x^4 + E^(2*x)*(36 - 24*x + 4*x^2) + E^x*(-288 + 180*x - 16*x^2 - 4*x^3)),x]","\frac{2 (x-3) x (x+5)}{x^2+7 x-2 e^x (x-3)-24}","\frac{x (x+5)}{\frac{x}{2}-e^x-\frac{3}{3-x}+5}",1,"(2*(-3 + x)*x*(5 + x))/(-24 - 2*E^x*(-3 + x) + 7*x + x^2)","A",1
2830,1,51,36,0.2144562,"\int \frac{216-36 x+\left(-351+e^3 (3-x)+117 x\right) \log \left(-\frac{x^2}{-3+x}\right)+\left(108-18 x+(-162+54 x) \log \left(-\frac{x^2}{-3+x}\right)\right) \log \left(\frac{x}{\log \left(-\frac{x^2}{-3+x}\right)}\right)+(-27+9 x) \log \left(-\frac{x^2}{-3+x}\right) \log ^2\left(\frac{x}{\log \left(-\frac{x^2}{-3+x}\right)}\right)}{(-9+3 x) \log \left(-\frac{x^2}{-3+x}\right)} \, dx","Integrate[(216 - 36*x + (-351 + E^3*(3 - x) + 117*x)*Log[-(x^2/(-3 + x))] + (108 - 18*x + (-162 + 54*x)*Log[-(x^2/(-3 + x))])*Log[x/Log[-(x^2/(-3 + x))]] + (-27 + 9*x)*Log[-(x^2/(-3 + x))]*Log[x/Log[-(x^2/(-3 + x))]]^2)/((-9 + 3*x)*Log[-(x^2/(-3 + x))]),x]","3 x \log ^2\left(\frac{x}{\log \left(-\frac{x^2}{x-3}\right)}\right)+12 x \log \left(\frac{x}{\log \left(-\frac{x^2}{x-3}\right)}\right)-\frac{1}{3} \left(e^3-81\right) x","\frac{1}{3} x \left(9 \left(\left(\log \left(\frac{x}{\log \left(\frac{x^2}{3-x}\right)}\right)+2\right)^2+5\right)-e^3\right)",1,"-1/3*((-81 + E^3)*x) + 12*x*Log[x/Log[-(x^2/(-3 + x))]] + 3*x*Log[x/Log[-(x^2/(-3 + x))]]^2","A",1
2831,1,17,10,0.0000818,"\int \left(56 x+8 e x+16 x^3\right) \, dx","Integrate[56*x + 8*E*x + 16*x^3,x]","4 x^4+4 e x^2+28 x^2","\left(2 x^2+e+7\right)^2",1,"28*x^2 + 4*E*x^2 + 4*x^4","A",1
2832,1,31,23,0.017815,"\int \frac{-40-6 x^3}{20 x+11 x^3+e^{10} x^3-6 x^4+x^3 \log (4)} \, dx","Integrate[(-40 - 6*x^3)/(20*x + 11*x^3 + E^10*x^3 - 6*x^4 + x^3*Log[4]),x]","\log \left(-6 x^3+e^{10} x^2+11 x^2+x^2 \log (4)+20\right)-2 \log (x)","\log \left(5 \left(\frac{4}{x^2}-x+2\right)-x+e^{10}+1+\log (4)\right)",1,"-2*Log[x] + Log[20 + 11*x^2 + E^10*x^2 - 6*x^3 + x^2*Log[4]]","A",1
2833,1,28,25,0.2233725,"\int \frac{24+12 x-4 e^x x^2 \log (2)-4 x^3 \log (2)+\left(-12 x+12 x^3 \log (2)+e^x \left(8 x^2+4 x^3\right) \log (2)\right) \log (x)}{3 x \log ^2(x)} \, dx","Integrate[(24 + 12*x - 4*E^x*x^2*Log[2] - 4*x^3*Log[2] + (-12*x + 12*x^3*Log[2] + E^x*(8*x^2 + 4*x^3)*Log[2])*Log[x])/(3*x*Log[x]^2),x]","\frac{4 \left(x^3 \log (2)+e^x x^2 \log (2)-3 x-6\right)}{3 \log (x)}","\frac{4 \left(\frac{1}{3} \left(x+e^x\right) x^2 \log (2)-x-2\right)}{\log (x)}",1,"(4*(-6 - 3*x + E^x*x^2*Log[2] + x^3*Log[2]))/(3*Log[x])","A",1
2834,1,15,18,0.0082024,"\int \frac{3-15 x+5 x^2-x^3}{x-2 x^2+x^3} \, dx","Integrate[(3 - 15*x + 5*x^2 - x^3)/(x - 2*x^2 + x^3),x]","-x+\frac{8}{x-1}+3 \log (x)","\log \left(x^2\right)-x+\frac{8}{x-1}+\log (x)+2",1,"8/(-1 + x) - x + 3*Log[x]","A",1
2835,1,25,32,0.0613103,"\int \frac{27-18 x-24 x^2+12 x^3+8 x^4-2 x^5-x^6+e^{\frac{4 x+4 x^2}{-3+x+x^2}} \left(12 x^2+24 x^3\right)}{9 x^2-6 x^3-5 x^4+2 x^5+x^6} \, dx","Integrate[(27 - 18*x - 24*x^2 + 12*x^3 + 8*x^4 - 2*x^5 - x^6 + E^((4*x + 4*x^2)/(-3 + x + x^2))*(12*x^2 + 24*x^3))/(9*x^2 - 6*x^3 - 5*x^4 + 2*x^5 + x^6),x]","-e^{\frac{12}{x^2+x-3}+4}-x-\frac{3}{x}","\frac{(2-x) x-3}{x}-e^{\frac{4 x}{x-\frac{3}{x+1}}}",1,"-E^(4 + 12/(-3 + x + x^2)) - 3/x - x","A",1
2836,1,48,31,0.0993898,"\int \frac{1+e^2+e (2-2 x)-2 x+x^2+e^{3 x} \left(-3 x^2-3 e^2 x^2+6 x^3-3 x^4+e \left(-6 x^2+6 x^3\right)\right)+x^2 \log (5)}{1+2 x-3 x^2-4 x^3+4 x^4+e^2 \left(1+4 x+4 x^2\right)+e \left(2+6 x-8 x^3\right)+e^{6 x} \left(x^2+e^2 x^2-2 x^3+x^4+e \left(2 x^2-2 x^3\right)\right)+\left(-2 x-2 x^2+4 x^3+e \left(-2 x-4 x^2\right)\right) \log (5)+x^2 \log ^2(5)+e^{3 x} \left(2 x-6 x^3+4 x^4+e^2 \left(2 x+4 x^2\right)+e \left(4 x+4 x^2-8 x^3\right)+\left(-2 x^2-2 e x^2+2 x^3\right) \log (5)\right)} \, dx","Integrate[(1 + E^2 + E*(2 - 2*x) - 2*x + x^2 + E^(3*x)*(-3*x^2 - 3*E^2*x^2 + 6*x^3 - 3*x^4 + E*(-6*x^2 + 6*x^3)) + x^2*Log[5])/(1 + 2*x - 3*x^2 - 4*x^3 + 4*x^4 + E^2*(1 + 4*x + 4*x^2) + E*(2 + 6*x - 8*x^3) + E^(6*x)*(x^2 + E^2*x^2 - 2*x^3 + x^4 + E*(2*x^2 - 2*x^3)) + (-2*x - 2*x^2 + 4*x^3 + E*(-2*x - 4*x^2))*Log[5] + x^2*Log[5]^2 + E^(3*x)*(2*x - 6*x^3 + 4*x^4 + E^2*(2*x + 4*x^2) + E*(4*x + 4*x^2 - 8*x^3) + (-2*x^2 - 2*E*x^2 + 2*x^3)*Log[5])),x]","\frac{(-x+e+1) x}{-2 x^2+e^{3 x+1} x-e^{3 x} (x-1) x+2 e x+x-x \log (5)+e+1}","\frac{x}{2 x-\left(x \left(\frac{\log (5)}{-x+e+1}-e^{3 x}\right)\right)+1}",1,"((1 + E - x)*x)/(1 + E + x + 2*E*x + E^(1 + 3*x)*x - E^(3*x)*(-1 + x)*x - 2*x^2 - x*Log[5])","A",1
2837,0,0,27,0.270484,"\int \frac{2500+1000 x+100 x^2+e^x \left(500-300 x-180 x^2-20 x^3\right)+(-20-8 x) \log (3)}{1953125 x+859375 x^2+109375 x^3+3125 x^4+e^x \left(390625 x+156250 x^2+15625 x^3\right)+\left(-15625 x-3125 x^2\right) \log (3)+\left(1953125 x+859375 x^2+109375 x^3+3125 x^4+e^x \left(390625 x+156250 x^2+15625 x^3\right)+\left(-15625 x-3125 x^2\right) \log (3)\right) \log \left(\frac{125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2}\right)+\left(781250 x+343750 x^2+43750 x^3+1250 x^4+e^x \left(156250 x+62500 x^2+6250 x^3\right)+\left(-6250 x-1250 x^2\right) \log (3)\right) \log ^2\left(\frac{125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2}\right)+\left(156250 x+68750 x^2+8750 x^3+250 x^4+e^x \left(31250 x+12500 x^2+1250 x^3\right)+\left(-1250 x-250 x^2\right) \log (3)\right) \log ^3\left(\frac{125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2}\right)+\left(15625 x+6875 x^2+875 x^3+25 x^4+e^x \left(3125 x+1250 x^2+125 x^3\right)+\left(-125 x-25 x^2\right) \log (3)\right) \log ^4\left(\frac{125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2}\right)+\left(625 x+275 x^2+35 x^3+x^4+e^x \left(125 x+50 x^2+5 x^3\right)+\left(-5 x-x^2\right) \log (3)\right) \log ^5\left(\frac{125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2}\right)} \, dx","Integrate[(2500 + 1000*x + 100*x^2 + E^x*(500 - 300*x - 180*x^2 - 20*x^3) + (-20 - 8*x)*Log[3])/(1953125*x + 859375*x^2 + 109375*x^3 + 3125*x^4 + E^x*(390625*x + 156250*x^2 + 15625*x^3) + (-15625*x - 3125*x^2)*Log[3] + (1953125*x + 859375*x^2 + 109375*x^3 + 3125*x^4 + E^x*(390625*x + 156250*x^2 + 15625*x^3) + (-15625*x - 3125*x^2)*Log[3])*Log[(125 + 30*x + x^2 + E^x*(25 + 5*x) - Log[3])/(5*x + x^2)] + (781250*x + 343750*x^2 + 43750*x^3 + 1250*x^4 + E^x*(156250*x + 62500*x^2 + 6250*x^3) + (-6250*x - 1250*x^2)*Log[3])*Log[(125 + 30*x + x^2 + E^x*(25 + 5*x) - Log[3])/(5*x + x^2)]^2 + (156250*x + 68750*x^2 + 8750*x^3 + 250*x^4 + E^x*(31250*x + 12500*x^2 + 1250*x^3) + (-1250*x - 250*x^2)*Log[3])*Log[(125 + 30*x + x^2 + E^x*(25 + 5*x) - Log[3])/(5*x + x^2)]^3 + (15625*x + 6875*x^2 + 875*x^3 + 25*x^4 + E^x*(3125*x + 1250*x^2 + 125*x^3) + (-125*x - 25*x^2)*Log[3])*Log[(125 + 30*x + x^2 + E^x*(25 + 5*x) - Log[3])/(5*x + x^2)]^4 + (625*x + 275*x^2 + 35*x^3 + x^4 + E^x*(125*x + 50*x^2 + 5*x^3) + (-5*x - x^2)*Log[3])*Log[(125 + 30*x + x^2 + E^x*(25 + 5*x) - Log[3])/(5*x + x^2)]^5),x]","\int \frac{2500+1000 x+100 x^2+e^x \left(500-300 x-180 x^2-20 x^3\right)+(-20-8 x) \log (3)}{1953125 x+859375 x^2+109375 x^3+3125 x^4+e^x \left(390625 x+156250 x^2+15625 x^3\right)+\left(-15625 x-3125 x^2\right) \log (3)+\left(1953125 x+859375 x^2+109375 x^3+3125 x^4+e^x \left(390625 x+156250 x^2+15625 x^3\right)+\left(-15625 x-3125 x^2\right) \log (3)\right) \log \left(\frac{125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2}\right)+\left(781250 x+343750 x^2+43750 x^3+1250 x^4+e^x \left(156250 x+62500 x^2+6250 x^3\right)+\left(-6250 x-1250 x^2\right) \log (3)\right) \log ^2\left(\frac{125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2}\right)+\left(156250 x+68750 x^2+8750 x^3+250 x^4+e^x \left(31250 x+12500 x^2+1250 x^3\right)+\left(-1250 x-250 x^2\right) \log (3)\right) \log ^3\left(\frac{125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2}\right)+\left(15625 x+6875 x^2+875 x^3+25 x^4+e^x \left(3125 x+1250 x^2+125 x^3\right)+\left(-125 x-25 x^2\right) \log (3)\right) \log ^4\left(\frac{125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2}\right)+\left(625 x+275 x^2+35 x^3+x^4+e^x \left(125 x+50 x^2+5 x^3\right)+\left(-5 x-x^2\right) \log (3)\right) \log ^5\left(\frac{125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2}\right)} \, dx","\frac{1}{\left(\log \left(\frac{5 \left(e^x+5\right)+x-\frac{\log (3)}{x+5}}{x}\right)+5\right)^4}",1,"Integrate[(2500 + 1000*x + 100*x^2 + E^x*(500 - 300*x - 180*x^2 - 20*x^3) + (-20 - 8*x)*Log[3])/(1953125*x + 859375*x^2 + 109375*x^3 + 3125*x^4 + E^x*(390625*x + 156250*x^2 + 15625*x^3) + (-15625*x - 3125*x^2)*Log[3] + (1953125*x + 859375*x^2 + 109375*x^3 + 3125*x^4 + E^x*(390625*x + 156250*x^2 + 15625*x^3) + (-15625*x - 3125*x^2)*Log[3])*Log[(125 + 30*x + x^2 + E^x*(25 + 5*x) - Log[3])/(5*x + x^2)] + (781250*x + 343750*x^2 + 43750*x^3 + 1250*x^4 + E^x*(156250*x + 62500*x^2 + 6250*x^3) + (-6250*x - 1250*x^2)*Log[3])*Log[(125 + 30*x + x^2 + E^x*(25 + 5*x) - Log[3])/(5*x + x^2)]^2 + (156250*x + 68750*x^2 + 8750*x^3 + 250*x^4 + E^x*(31250*x + 12500*x^2 + 1250*x^3) + (-1250*x - 250*x^2)*Log[3])*Log[(125 + 30*x + x^2 + E^x*(25 + 5*x) - Log[3])/(5*x + x^2)]^3 + (15625*x + 6875*x^2 + 875*x^3 + 25*x^4 + E^x*(3125*x + 1250*x^2 + 125*x^3) + (-125*x - 25*x^2)*Log[3])*Log[(125 + 30*x + x^2 + E^x*(25 + 5*x) - Log[3])/(5*x + x^2)]^4 + (625*x + 275*x^2 + 35*x^3 + x^4 + E^x*(125*x + 50*x^2 + 5*x^3) + (-5*x - x^2)*Log[3])*Log[(125 + 30*x + x^2 + E^x*(25 + 5*x) - Log[3])/(5*x + x^2)]^5), x]","F",-1
2838,1,25,31,0.7812898,"\int \frac{3+e^x (-10-15 x)+e^x (5+5 x) \log (x)}{\left(1+3 x-15 e^x x+5 e^x x \log (x)\right) \log \left(\frac{1}{3} \left(-1-3 x+15 e^x x-5 e^x x \log (x)\right)\right)} \, dx","Integrate[(3 + E^x*(-10 - 15*x) + E^x*(5 + 5*x)*Log[x])/((1 + 3*x - 15*E^x*x + 5*E^x*x*Log[x])*Log[(-1 - 3*x + 15*E^x*x - 5*E^x*x*Log[x])/3]),x]","\log \left(\log \left(\left(5 e^x-1\right) x-\frac{5}{3} e^x x \log (x)-\frac{1}{3}\right)\right)","\log \left(\log \left(\frac{5 e^x x^2 (3-\log (x))-x}{3 x}-x\right)\right)",1,"Log[Log[-1/3 + (-1 + 5*E^x)*x - (5*E^x*x*Log[x])/3]]","A",1
2839,1,26,26,0.016687,"\int \frac{-1+2 x-2 x^2-3 x^3+e^{2 x} \left(25 x+50 x^2\right)}{x} \, dx","Integrate[(-1 + 2*x - 2*x^2 - 3*x^3 + E^(2*x)*(25*x + 50*x^2))/x,x]","-x^3-x^2+25 e^{2 x} x+2 x-\log (x)","-x^3-\left(x-25 e^{2 x}\right) x+2 x-\log (x)-30",1,"2*x + 25*E^(2*x)*x - x^2 - x^3 - Log[x]","A",1
2840,1,9,15,0.0014507,"\int \frac{5 e^{-5+x}}{4} \, dx","Integrate[(5*E^(-5 + x))/4,x]","\frac{5 e^{x-5}}{4}","5 \left(\frac{e^{x-5}}{4}-2\right)+15",1,"(5*E^(-5 + x))/4","A",1
2841,1,34,31,0.0254987,"\int \frac{5 x^2+8 x^3+e^{x^2} \left(-5+10 x^2+e \left(-1+2 x^2\right)\right)}{5 x^2} \, dx","Integrate[(5*x^2 + 8*x^3 + E^x^2*(-5 + 10*x^2 + E*(-1 + 2*x^2)))/(5*x^2),x]","\frac{1}{5} \left(4 x^2+\frac{5 e^{x^2}}{x}+\frac{e^{x^2+1}}{x}+5 x\right)","\frac{\left(\frac{4 x^2}{5}+x\right) x+\frac{1}{5} (5+e) e^{x^2}-x}{x}",1,"((5*E^x^2)/x + E^(1 + x^2)/x + 5*x + 4*x^2)/5","A",1
2842,1,28,29,0.0113546,"\int \frac{-12-4 x^2-4 x^3+e^4 \left(-3-x^2\right)}{30 x^2} \, dx","Integrate[(-12 - 4*x^2 - 4*x^3 + E^4*(-3 - x^2))/(30*x^2),x]","\frac{1}{30} \left(-2 x^2-\left(4+e^4\right) x+\frac{3 \left(4+e^4\right)}{x}\right)","\frac{\left(1-\frac{x^2}{3}\right) \left(\frac{1}{2} \left(2 x+e^4\right)+2\right)}{5 x}",1,"((3*(4 + E^4))/x - (4 + E^4)*x - 2*x^2)/30","A",1
2843,1,14,14,0.0074423,"\int \frac{e^{e^3 (-9+3 x)} \left(-2+3 e^3 x\right)}{x^3} \, dx","Integrate[(E^(E^3*(-9 + 3*x))*(-2 + 3*E^3*x))/x^3,x]","\frac{e^{3 e^3 (x-3)}}{x^2}","\frac{e^{3 e^3 (x-3)}}{x^2}",1,"E^(3*E^3*(-3 + x))/x^2","A",1
2844,1,18,18,0.0094026,"\int \frac{1200 x-800 \log (4)}{9 e^{10} x^5-18 e^{10} x^4 \log (4)+9 e^{10} x^3 \log ^2(4)} \, dx","Integrate[(1200*x - 800*Log[4])/(9*E^10*x^5 - 18*E^10*x^4*Log[4] + 9*E^10*x^3*Log[4]^2),x]","-\frac{400}{9 e^{10} x^2 (x-\log (4))}","\frac{400}{9 e^{10} x^2 (\log (4)-x)}",1,"-400/(9*E^10*x^2*(x - Log[4]))","A",1
2845,1,20,28,0.1366844,"\int \frac{e^{\frac{-144+36 x+5 x^3}{-4+x}} \left(-240 x^2+40 x^3\right)}{16-8 x+x^2} \, dx","Integrate[(E^((-144 + 36*x + 5*x^3)/(-4 + x))*(-240*x^2 + 40*x^3))/(16 - 8*x + x^2),x]","4 e^{\frac{5 x^3+36 x-144}{x-4}}","4 e^{5 \left(x-\frac{(5-x) x}{4-x}\right) x^2+36}",1,"4*E^((-144 + 36*x + 5*x^3)/(-4 + x))","A",1
2846,1,26,23,0.0065877,"\int \frac{1}{2} \left(22+4 e^{2 x}-4 e^{x^2} x+\log (5)\right) \, dx","Integrate[(22 + 4*E^(2*x) - 4*E^x^2*x + Log[5])/2,x]","\frac{1}{2} \left(-2 e^{x^2}+22 x+2 e^{2 x}+x \log (5)\right)","-e^{x^2}+e^{2 x}+x \left(11+\frac{\log (5)}{2}\right)",1,"(2*E^(2*x) - 2*E^x^2 + 22*x + x*Log[5])/2","A",1
2847,1,20,20,0.1661439,"\int \frac{e^{-x} \left(-3 e^x x+e^{\frac{5 e^{-x}}{x}} \left((-5-5 x) \log (3)+e^x x \log (3)\right)\right)}{x} \, dx","Integrate[(-3*E^x*x + E^(5/(E^x*x))*((-5 - 5*x)*Log[3] + E^x*x*Log[3]))/(E^x*x),x]","e^{\frac{5 e^{-x}}{x}} x \log (3)-3 x","e^{\frac{5 e^{-x}}{x}} x \log (3)-3 x",1,"-3*x + E^(5/(E^x*x))*x*Log[3]","A",1
2848,1,25,25,0.044878,"\int \frac{e^{3+x} \left(40-30 x+10 x^2\right)}{3 x^3+9 x^3 \log ^2(4)} \, dx","Integrate[(E^(3 + x)*(40 - 30*x + 10*x^2))/(3*x^3 + 9*x^3*Log[4]^2),x]","\frac{10 e^{x+3} (x-2)}{3 x^2 \left(1+3 \log ^2(4)\right)}","\frac{5 e^{x+3} (2 x-4)}{x^2 \left(3+9 \log ^2(4)\right)}",1,"(10*E^(3 + x)*(-2 + x))/(3*x^2*(1 + 3*Log[4]^2))","A",1
2849,1,22,24,0.0823505,"\int \frac{-6-24 x+(-1-6 x) \log (2 x)+(24 x+4 \log (x)+(6 x+\log (x)) \log (2 x)+(8+2 \log (2 x)) \log (4+\log (2 x))) \log \left(\frac{8}{6 x+\log (x)+2 \log (4+\log (2 x))}\right)}{24 x+4 \log (x)+(6 x+\log (x)) \log (2 x)+(8+2 \log (2 x)) \log (4+\log (2 x))} \, dx","Integrate[(-6 - 24*x + (-1 - 6*x)*Log[2*x] + (24*x + 4*Log[x] + (6*x + Log[x])*Log[2*x] + (8 + 2*Log[2*x])*Log[4 + Log[2*x]])*Log[8/(6*x + Log[x] + 2*Log[4 + Log[2*x]])])/(24*x + 4*Log[x] + (6*x + Log[x])*Log[2*x] + (8 + 2*Log[2*x])*Log[4 + Log[2*x]]),x]","x \log \left(\frac{8}{6 x+\log (x)+2 \log (\log (2 x)+4)}\right)","x \log \left(\frac{4}{3 x+\frac{\log (x)}{2}+\log (\log (2 x)+4)}\right)",1,"x*Log[8/(6*x + Log[x] + 2*Log[4 + Log[2*x]])]","A",1
2850,1,12,12,0.0106389,"\int -\frac{8 e^{-\frac{19}{9}+\frac{8}{e^{19/9} x}}}{x^2} \, dx","Integrate[(-8*E^(-19/9 + 8/(E^(19/9)*x)))/x^2,x]","e^{\frac{8}{e^{19/9} x}}","e^{\frac{8}{e^{19/9} x}}",1,"E^(8/(E^(19/9)*x))","A",1
2851,1,18,19,0.0950508,"\int \frac{10 x+4 x^2-6 \log (5)+\left(4 x^2-2 \log (5)\right) \log (x)+x^2 \log ^2(x)}{4 x^2+4 x^2 \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(10*x + 4*x^2 - 6*Log[5] + (4*x^2 - 2*Log[5])*Log[x] + x^2*Log[x]^2)/(4*x^2 + 4*x^2*Log[x] + x^2*Log[x]^2),x]","x+\frac{\log (25)-10 x}{x (\log (x)+2)}","x+\frac{2 \left(\frac{\log (5)}{x}-5\right)}{\log (x)+2}+5",1,"x + (-10*x + Log[25])/(x*(2 + Log[x]))","A",1
2852,1,42,29,0.1480769,"\int \frac{-4+2 x+(-2+x) \log (4)+\left(-6 x^2+2 x^3\right) \log (x)+(4+2 \log (4)) \log (x) \log \left(\frac{1}{\log (x)}\right)}{\left(8-8 x+2 x^2+\left(4-4 x+x^2\right) \log (4)\right) \log (x)} \, dx","Integrate[(-4 + 2*x + (-2 + x)*Log[4] + (-6*x^2 + 2*x^3)*Log[x] + (4 + 2*Log[4])*Log[x]*Log[Log[x]^(-1)])/((8 - 8*x + 2*x^2 + (4 - 4*x + x^2)*Log[4])*Log[x]),x]","\frac{x^3-4 x-2 (2+\log (4)) \log \left(\frac{1}{\log (x)}\right)+(x-2) (2+\log (4)) \log (\log (x))+8}{(x-2) (2+\log (4))}","\frac{\log \left(\frac{1}{\log (x)}\right)-\frac{x^2}{2+\log (4)}}{\frac{2}{x}-1}+4",1,"(8 - 4*x + x^3 - 2*(2 + Log[4])*Log[Log[x]^(-1)] + (-2 + x)*(2 + Log[4])*Log[Log[x]])/((-2 + x)*(2 + Log[4]))","A",1
2853,1,39,28,0.36812,"\int \frac{\exp \left(\frac{x^2}{e^{\frac{2}{3} \left(648+e^2 (8-3 x)-243 x\right)}+2 e^{\frac{1}{3} \left(648+e^2 (8-3 x)-243 x\right)} \log (x)+\log ^2(x)}\right) \left(-2 x+e^{\frac{1}{3} \left(648+e^2 (8-3 x)-243 x\right)} \left(2 x+162 x^2+2 e^2 x^2\right)+2 x \log (x)\right)}{e^{648+e^2 (8-3 x)-243 x}+3 e^{\frac{2}{3} \left(648+e^2 (8-3 x)-243 x\right)} \log (x)+3 e^{\frac{1}{3} \left(648+e^2 (8-3 x)-243 x\right)} \log ^2(x)+\log ^3(x)} \, dx","Integrate[(E^(x^2/(E^((2*(648 + E^2*(8 - 3*x) - 243*x))/3) + 2*E^((648 + E^2*(8 - 3*x) - 243*x)/3)*Log[x] + Log[x]^2))*(-2*x + E^((648 + E^2*(8 - 3*x) - 243*x)/3)*(2*x + 162*x^2 + 2*E^2*x^2) + 2*x*Log[x]))/(E^(648 + E^2*(8 - 3*x) - 243*x) + 3*E^((2*(648 + E^2*(8 - 3*x) - 243*x))/3)*Log[x] + 3*E^((648 + E^2*(8 - 3*x) - 243*x)/3)*Log[x]^2 + Log[x]^3),x]","\exp \left(\frac{e^{162 x} x^2}{\left(e^{-e^2 x+\frac{8 e^2}{3}+216}+e^{81 x} \log (x)\right)^2}\right)","e^{\frac{x^2}{\left(e^{\left(81+e^2\right) \left(\frac{8}{3}-x\right)}+\log (x)\right)^2}}+1",1,"E^((E^(162*x)*x^2)/(E^(216 + (8*E^2)/3 - E^2*x) + E^(81*x)*Log[x])^2)","A",1
2854,1,23,34,0.1176744,"\int \frac{e^{\frac{2 (5-5 x)}{x}+2 x^2} \left(50-15 x+2 x^2-20 x^3+4 x^4\right)}{25 x} \, dx","Integrate[(E^((2*(5 - 5*x))/x + 2*x^2)*(50 - 15*x + 2*x^2 - 20*x^3 + 4*x^4))/(25*x),x]","\frac{1}{25} e^{\frac{2 \left(x^3-5 x+5\right)}{x}} (x-5) x","-\frac{1}{25} e^{2 x^2+\frac{2 (5-5 x)}{x}} (5-x) x+3-\log (4)",1,"(E^((2*(5 - 5*x + x^3))/x)*(-5 + x)*x)/25","A",1
2855,1,20,20,0.0287228,"\int \frac{e^5 x+4 x^2+\left(4-e^4+e^5 x+2 x^2\right) \log \left(4-e^4+e^5 x+2 x^2\right)}{4-e^4+e^5 x+2 x^2} \, dx","Integrate[(E^5*x + 4*x^2 + (4 - E^4 + E^5*x + 2*x^2)*Log[4 - E^4 + E^5*x + 2*x^2])/(4 - E^4 + E^5*x + 2*x^2),x]","x \log \left(2 x^2+e^5 x-e^4+4\right)","x \log \left(x^2+\left(x+e^5\right) x-e^4+4\right)",1,"x*Log[4 - E^4 + E^5*x + 2*x^2]","A",1
2856,1,21,31,0.3155175,"\int \frac{3 x^3+4^{25 x} \left(-2 x^2-25 x^3 \log (4)\right)+e^{2 \log ^2(x)} \left(x-25\ 4^{25 x} x \log (4)+\left(-4^{1+25 x}+4 x\right) \log (x)\right)+e^{\log ^2(x)} \left(4 x^2+4^{25 x} \left(-2 x-50 x^2 \log (4)\right)+\left(-4^{1+25 x} x+4 x^2\right) \log (x)\right)}{x} \, dx","Integrate[(3*x^3 + 4^(25*x)*(-2*x^2 - 25*x^3*Log[4]) + E^(2*Log[x]^2)*(x - 25*4^(25*x)*x*Log[4] + (-4^(1 + 25*x) + 4*x)*Log[x]) + E^Log[x]^2*(4*x^2 + 4^(25*x)*(-2*x - 50*x^2*Log[4]) + (-(4^(1 + 25*x)*x) + 4*x^2)*Log[x]))/x,x]","-\left(\left(2^{50 x}-x\right) \left(x+e^{\log ^2(x)}\right)^2\right)","-\left(\left(x-4^{25 x}\right) \left(-x-e^{\log ^2(x)}\right) \left(x+e^{\log ^2(x)}\right)\right)",1,"-((2^(50*x) - x)*(E^Log[x]^2 + x)^2)","A",1
2857,1,38,33,0.0531109,"\int \frac{1}{5} \left(36-e^4-26 x+3 x^2+e^{4 x} \left(4+14 x-4 x^2\right)+e^{2 x} \left(-24-36 x+12 x^2\right)\right) \, dx","Integrate[(36 - E^4 - 26*x + 3*x^2 + E^(4*x)*(4 + 14*x - 4*x^2) + E^(2*x)*(-24 - 36*x + 12*x^2))/5,x]","\frac{1}{5} x \left(x^2-13 x+6 e^{2 x} (x-4)-e^{4 x} (x-4)-e^4+36\right)","\frac{1}{5} (4-x) \left(e^4-x \left(x-\left(3-e^{2 x}\right)^2\right)\right)+2",1,"(x*(36 - E^4 + 6*E^(2*x)*(-4 + x) - E^(4*x)*(-4 + x) - 13*x + x^2))/5","A",1
2858,1,17,23,0.1940392,"\int \frac{12 x+16 x^2+e^x \left(-2 x^2+2 x^3\right)}{9+48 x+64 x^2+e^{2 x} x^2+e^x \left(-6 x-16 x^2\right)} \, dx","Integrate[(12*x + 16*x^2 + E^x*(-2*x^2 + 2*x^3))/(9 + 48*x + 64*x^2 + E^(2*x)*x^2 + E^x*(-6*x - 16*x^2)),x]","-\frac{2 x^2}{e^x x-8 x-3}","\frac{2 x^2}{\left(-e^x+\frac{3}{x}+7\right) x+x}",1,"(-2*x^2)/(-3 - 8*x + E^x*x)","A",1
2859,1,19,16,0.0063034,"\int -\frac{2 x}{1+2 x^2+x^4+\left(2 x^2+2 x^4\right) \log (4)+x^4 \log ^2(4)} \, dx","Integrate[(-2*x)/(1 + 2*x^2 + x^4 + (2*x^2 + 2*x^4)*Log[4] + x^4*Log[4]^2),x]","\frac{1}{(1+\log (4)) \left(x^2 (1+\log (4))+1\right)}","-\frac{2}{\frac{2}{x^2}+2 (1+\log (4))}",1,"1/((1 + Log[4])*(1 + x^2*(1 + Log[4])))","A",1
2860,1,31,20,0.0484487,"\int \frac{-15+5 \log (3)}{48 x-15 x \log (4)+(-15 x+5 x \log (3)) \log (x)} \, dx","Integrate[(-15 + 5*Log[3])/(48*x - 15*x*Log[4] + (-15*x + 5*x*Log[3])*Log[x]),x]","-\frac{5 (\log (3)-3) \log (-5 \log (3) \log (x)+15 \log (x)-48+15 \log (4))}{15-5 \log (3)}","\log \left(\log (x)+\frac{3 \left(\frac{16}{5}-\log (4)\right)}{\log (3)-3}\right)",1,"(-5*(-3 + Log[3])*Log[-48 + 15*Log[4] + 15*Log[x] - 5*Log[3]*Log[x]])/(15 - 5*Log[3])","A",1
2861,1,9,23,0.0005519,"\int \frac{1}{5} (1+10 x) \, dx","Integrate[(1 + 10*x)/5,x]","x^2+\frac{x}{5}","\frac{1}{5} \left(5 x^2-2\right)+\frac{1}{5} (x-\log (5))+4",1,"x/5 + x^2","A",1
2862,1,20,14,0.0157036,"\int \frac{2^{-72+8 x} \left(50 x+200 x^2 \log (2)\right)}{6561} \, dx","Integrate[(2^(-72 + 8*x)*(50*x + 200*x^2*Log[2]))/6561,x]","\frac{25\ 2^{8 x-74} x^2 \log (16)}{6561 \log (2)}","\frac{25\ 2^{8 x-72} x^2}{6561}",1,"(25*2^(-74 + 8*x)*x^2*Log[16])/(6561*Log[2])","A",1
2863,1,3382,21,2.1106348,"\int \frac{\left(5 x+12 x^2-27 x^3+12 x^4+5 x^5\right) \log (x)+\left(1+5 x+6 x^2-9 x^3+3 x^4+x^5\right) \log \left(1+5 x+6 x^2-9 x^3+3 x^4+x^5\right)}{x+5 x^2+6 x^3-9 x^4+3 x^5+x^6} \, dx","Integrate[((5*x + 12*x^2 - 27*x^3 + 12*x^4 + 5*x^5)*Log[x] + (1 + 5*x + 6*x^2 - 9*x^3 + 3*x^4 + x^5)*Log[1 + 5*x + 6*x^2 - 9*x^3 + 3*x^4 + x^5])/(x + 5*x^2 + 6*x^3 - 9*x^4 + 3*x^5 + x^6),x]","\text{Result too large to show}","\log (x) \log \left((x+5) \left(\left(x^2-x\right)^2+x\right)+1\right)",1,"Log[x]*Log[1 + 5*x + 6*x^2 - 9*x^3 + 3*x^4 + x^5] - Log[x]*Log[1 - x/Root[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , 1, 0]] - Log[x]*Log[1 - x/Root[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , 2, 0]] - Log[x]*Log[1 - x/Root[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , 3, 0]] - Log[x]*Log[1 - x/Root[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , 4, 0]] - Log[x]*Log[1 - x/Root[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , 5, 0]] - PolyLog[2, x/Root[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , 1, 0]] - PolyLog[2, x/Root[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , 2, 0]] - PolyLog[2, x/Root[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , 3, 0]] - PolyLog[2, x/Root[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , 4, 0]] - PolyLog[2, x/Root[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , 5, 0]] + ((5 + 12*x - 27*x^2 + 12*x^3 + 5*x^4)*RootSum[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , (-Log[x]^2 + 2*Log[x]*Log[1 - x/#1] + 2*PolyLog[2, x/#1])/(5 + 12*#1 - 27*#1^2 + 12*#1^3 + 5*#1^4) & ])/2 - (6 - 27*x + 18*x^2 + 10*x^3)*RootSum[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , (-(x*Log[x]^2) + 2*x*Log[x]*Log[1 - x/#1] + 2*x*PolyLog[2, x/#1] - 2*Log[1 - x/#1]*#1 + 2*Log[x - #1]*#1 - 2*Log[x]*Log[x - #1]*#1 + 2*Log[x - #1]*Log[x/#1]*#1 + 2*PolyLog[2, 1 - x/#1]*#1)/(5 + 12*#1 - 27*#1^2 + 12*#1^3 + 5*#1^4) & ] - (27*RootSum[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , (-2*x^2*Log[x]^2 + 4*x^2*Log[x]*Log[1 - x/#1] + 4*x^2*PolyLog[2, x/#1] - 4*x*#1 + 4*x*Log[x]*#1 - 8*x*Log[1 - x/#1]*#1 + 8*x*Log[x - #1]*#1 - 8*x*Log[x]*Log[x - #1]*#1 + 8*x*Log[x - #1]*Log[x/#1]*#1 + 8*x*PolyLog[2, 1 - x/#1]*#1 + 3*#1^2 + 6*Log[1 - x/#1]*#1^2 - 8*Log[x]*Log[1 - x/#1]*#1^2 - 6*Log[x - #1]*#1^2 + 12*Log[x]*Log[x - #1]*#1^2 - 12*Log[x - #1]*Log[x/#1]*#1^2 - 12*PolyLog[2, 1 - x/#1]*#1^2 - 8*PolyLog[2, x/#1]*#1^2)/(5 + 12*#1 - 27*#1^2 + 12*#1^3 + 5*#1^4) & ])/4 + 9*x*RootSum[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , (-2*x^2*Log[x]^2 + 4*x^2*Log[x]*Log[1 - x/#1] + 4*x^2*PolyLog[2, x/#1] - 4*x*#1 + 4*x*Log[x]*#1 - 8*x*Log[1 - x/#1]*#1 + 8*x*Log[x - #1]*#1 - 8*x*Log[x]*Log[x - #1]*#1 + 8*x*Log[x - #1]*Log[x/#1]*#1 + 8*x*PolyLog[2, 1 - x/#1]*#1 + 3*#1^2 + 6*Log[1 - x/#1]*#1^2 - 8*Log[x]*Log[1 - x/#1]*#1^2 - 6*Log[x - #1]*#1^2 + 12*Log[x]*Log[x - #1]*#1^2 - 12*Log[x - #1]*Log[x/#1]*#1^2 - 12*PolyLog[2, 1 - x/#1]*#1^2 - 8*PolyLog[2, x/#1]*#1^2)/(5 + 12*#1 - 27*#1^2 + 12*#1^3 + 5*#1^4) & ] + (15*x^2*RootSum[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , (-2*x^2*Log[x]^2 + 4*x^2*Log[x]*Log[1 - x/#1] + 4*x^2*PolyLog[2, x/#1] - 4*x*#1 + 4*x*Log[x]*#1 - 8*x*Log[1 - x/#1]*#1 + 8*x*Log[x - #1]*#1 - 8*x*Log[x]*Log[x - #1]*#1 + 8*x*Log[x - #1]*Log[x/#1]*#1 + 8*x*PolyLog[2, 1 - x/#1]*#1 + 3*#1^2 + 6*Log[1 - x/#1]*#1^2 - 8*Log[x]*Log[1 - x/#1]*#1^2 - 6*Log[x - #1]*#1^2 + 12*Log[x]*Log[x - #1]*#1^2 - 12*Log[x - #1]*Log[x/#1]*#1^2 - 12*PolyLog[2, 1 - x/#1]*#1^2 - 8*PolyLog[2, x/#1]*#1^2)/(5 + 12*#1 - 27*#1^2 + 12*#1^3 + 5*#1^4) & ])/2 - 3*RootSum[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , (-2*x^3*Log[x]^2 + 4*x^3*Log[x]*Log[1 - x/#1] + 4*x^3*PolyLog[2, x/#1] - 11*x^2*#1 + 10*x^2*Log[x]*#1 - 12*x^2*Log[1 - x/#1]*#1 + 12*x^2*Log[x - #1]*#1 - 12*x^2*Log[x]*Log[x - #1]*#1 + 12*x^2*Log[x - #1]*Log[x/#1]*#1 + 12*x^2*PolyLog[2, 1 - x/#1]*#1 + 13*x*#1^2 - 4*x*Log[x]*#1^2 + 18*x*Log[1 - x/#1]*#1^2 - 24*x*Log[x]*Log[1 - x/#1]*#1^2 - 18*x*Log[x - #1]*#1^2 + 36*x*Log[x]*Log[x - #1]*#1^2 - 36*x*Log[x - #1]*Log[x/#1]*#1^2 - 36*x*PolyLog[2, 1 - x/#1]*#1^2 - 24*x*PolyLog[2, x/#1]*#1^2 - 27*#1^3 + 18*Log[1 - x/#1]*#1^3 + 24*Log[x]*Log[1 - x/#1]*#1^3 - 24*Log[x - #1]*#1^3 - 28*Log[x]*Log[x - #1]*#1^3 + 6*Log[2*(x - #1)]*#1^3 + 12*Log[1 - x/#1]*Log[x/#1]*#1^3 + 28*Log[x - #1]*Log[x/#1]*#1^3 + 40*PolyLog[2, 1 - x/#1]*#1^3 + 36*PolyLog[2, x/#1]*#1^3)/(5 + 12*#1 - 27*#1^2 + 12*#1^3 + 5*#1^4) & ] - 5*x*RootSum[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , (-2*x^3*Log[x]^2 + 4*x^3*Log[x]*Log[1 - x/#1] + 4*x^3*PolyLog[2, x/#1] - 11*x^2*#1 + 10*x^2*Log[x]*#1 - 12*x^2*Log[1 - x/#1]*#1 + 12*x^2*Log[x - #1]*#1 - 12*x^2*Log[x]*Log[x - #1]*#1 + 12*x^2*Log[x - #1]*Log[x/#1]*#1 + 12*x^2*PolyLog[2, 1 - x/#1]*#1 + 13*x*#1^2 - 4*x*Log[x]*#1^2 + 18*x*Log[1 - x/#1]*#1^2 - 24*x*Log[x]*Log[1 - x/#1]*#1^2 - 18*x*Log[x - #1]*#1^2 + 36*x*Log[x]*Log[x - #1]*#1^2 - 36*x*Log[x - #1]*Log[x/#1]*#1^2 - 36*x*PolyLog[2, 1 - x/#1]*#1^2 - 24*x*PolyLog[2, x/#1]*#1^2 - 27*#1^3 + 18*Log[1 - x/#1]*#1^3 + 24*Log[x]*Log[1 - x/#1]*#1^3 - 24*Log[x - #1]*#1^3 - 28*Log[x]*Log[x - #1]*#1^3 + 6*Log[2*(x - #1)]*#1^3 + 12*Log[1 - x/#1]*Log[x/#1]*#1^3 + 28*Log[x - #1]*Log[x/#1]*#1^3 + 40*PolyLog[2, 1 - x/#1]*#1^3 + 36*PolyLog[2, x/#1]*#1^3)/(5 + 12*#1 - 27*#1^2 + 12*#1^3 + 5*#1^4) & ] + (5*RootSum[1 + 5*#1 + 6*#1^2 - 9*#1^3 + 3*#1^4 + #1^5 & , (-18*x^4*Log[x]^2 + 36*x^4*Log[x]*Log[1 - x/#1] + 36*x^4*PolyLog[2, x/#1] - 184*x^3*#1 + 156*x^3*Log[x]*#1 - 144*x^3*Log[1 - x/#1]*#1 + 144*x^3*Log[x - #1]*#1 - 144*x^3*Log[x]*Log[x - #1]*#1 + 144*x^3*Log[x - #1]*Log[x/#1]*#1 + 144*x^3*PolyLog[2, 1 - x/#1]*#1 + 297*x^2*#1^2 - 126*x^2*Log[x]*#1^2 + 324*x^2*Log[1 - x/#1]*#1^2 - 432*x^2*Log[x]*Log[1 - x/#1]*#1^2 - 324*x^2*Log[x - #1]*#1^2 + 648*x^2*Log[x]*Log[x - #1]*#1^2 - 648*x^2*Log[x - #1]*Log[x/#1]*#1^2 - 648*x^2*PolyLog[2, 1 - x/#1]*#1^2 - 432*x^2*PolyLog[2, x/#1]*#1^2 - 1008*x*#1^3 + 36*x*Log[x]*#1^3 + 648*x*Log[1 - x/#1]*#1^3 + 864*x*Log[x]*Log[1 - x/#1]*#1^3 - 864*x*Log[x - #1]*#1^3 - 1008*x*Log[x]*Log[x - #1]*#1^3 + 216*x*Log[2*(x - #1)]*#1^3 + 432*x*Log[1 - x/#1]*Log[x/#1]*#1^3 + 1008*x*Log[x - #1]*Log[x/#1]*#1^3 + 1440*x*PolyLog[2, 1 - x/#1]*#1^3 + 1296*x*PolyLog[2, x/#1]*#1^3 + 2162*#1^4 - 2052*Log[1 - x/#1]*#1^4 - 504*Log[x]*Log[1 - x/#1]*#1^4 + 432*Log[-1 + x/#1]*#1^4 + 2112*Log[x - #1]*#1^4 + 540*Log[x]*Log[x - #1]*#1^4 - 540*Log[2*(x - #1)]*#1^4 + 48*Log[3*(x - #1)]*#1^4 - 936*Log[1 - x/#1]*Log[x/#1]*#1^4 - 540*Log[x - #1]*Log[x/#1]*#1^4 - 1476*PolyLog[2, 1 - x/#1]*#1^4 - 1440*PolyLog[2, x/#1]*#1^4)/(5 + 12*#1 - 27*#1^2 + 12*#1^3 + 5*#1^4) & ])/36","C",0
2864,1,217,30,0.0624274,"\int \frac{-42+10 x+36 x^2-9 x^4-2 x^5+\left(45+27 x-29 x^2-17 x^3+x^4+x^5\right) \log \left(\frac{e^{2 x}}{3+x}\right)}{-3 x-x^2+\left(27-9 x-21 x^2+x^3+5 x^4+x^5\right) \log \left(\frac{e^{2 x}}{3+x}\right)} \, dx","Integrate[(-42 + 10*x + 36*x^2 - 9*x^4 - 2*x^5 + (45 + 27*x - 29*x^2 - 17*x^3 + x^4 + x^5)*Log[E^(2*x)/(3 + x)])/(-3*x - x^2 + (27 - 9*x - 21*x^2 + x^3 + 5*x^4 + x^5)*Log[E^(2*x)/(3 + x)]),x]","x-\log \left(2 x^5+4 x^4+x^4 \log \left(\frac{1}{x+3}\right)+x^4 \left(-2 x-\log \left(\frac{1}{x+3}\right)+\log \left(\frac{e^{2 x}}{x+3}\right)\right)-10 x^3+2 x^3 \log \left(\frac{1}{x+3}\right)+2 x^3 \left(-2 x-\log \left(\frac{1}{x+3}\right)+\log \left(\frac{e^{2 x}}{x+3}\right)\right)-12 x^2-5 x^2 \log \left(\frac{1}{x+3}\right)-5 x^2 \left(-2 x-\log \left(\frac{1}{x+3}\right)+\log \left(\frac{e^{2 x}}{x+3}\right)\right)+17 x-6 x \log \left(\frac{1}{x+3}\right)-6 x \left(-2 x-\log \left(\frac{1}{x+3}\right)+\log \left(\frac{e^{2 x}}{x+3}\right)\right)+9 \log \left(\frac{1}{x+3}\right)+9 \left(-2 x-\log \left(\frac{1}{x+3}\right)+\log \left(\frac{e^{2 x}}{x+3}\right)\right)\right)","-\log \left(x-\left(x^2+x-3\right)^2 \log \left(\frac{e^{2 x}}{x+3}\right)\right)+x-4",1,"x - Log[17*x - 12*x^2 - 10*x^3 + 4*x^4 + 2*x^5 + 9*Log[(3 + x)^(-1)] - 6*x*Log[(3 + x)^(-1)] - 5*x^2*Log[(3 + x)^(-1)] + 2*x^3*Log[(3 + x)^(-1)] + x^4*Log[(3 + x)^(-1)] + 9*(-2*x - Log[(3 + x)^(-1)] + Log[E^(2*x)/(3 + x)]) - 6*x*(-2*x - Log[(3 + x)^(-1)] + Log[E^(2*x)/(3 + x)]) - 5*x^2*(-2*x - Log[(3 + x)^(-1)] + Log[E^(2*x)/(3 + x)]) + 2*x^3*(-2*x - Log[(3 + x)^(-1)] + Log[E^(2*x)/(3 + x)]) + x^4*(-2*x - Log[(3 + x)^(-1)] + Log[E^(2*x)/(3 + x)])]","B",1
2865,1,46,23,0.4336599,"\int \frac{1+\log \left(\frac{3}{2 x}\right)+\log ^2\left(\frac{3}{2 x}\right)}{x \log \left(\frac{3}{2 x}\right)+(28+x+\log (2)) \log ^2\left(\frac{3}{2 x}\right)} \, dx","Integrate[(1 + Log[3/(2*x)] + Log[3/(2*x)]^2)/(x*Log[3/(2*x)] + (28 + x + Log[2])*Log[3/(2*x)]^2),x]","\log \left(x+x \log \left(\frac{3}{2 x}\right)+\log (2) \log \left(\frac{3}{2 x}\right)+28 \log \left(\frac{3}{2 x}\right)\right)-\log \left(\log \left(\frac{3}{2 x}\right)\right)","\log \left(\frac{x+\frac{x}{\log \left(\frac{3}{2 x}\right)}+28+\log (2)}{\log (4)}\right)",1,"-Log[Log[3/(2*x)]] + Log[x + 28*Log[3/(2*x)] + x*Log[3/(2*x)] + Log[2]*Log[3/(2*x)]]","A",1
2866,1,11,16,0.0006754,"\int \frac{1}{3} (-8+18 x) \, dx","Integrate[(-8 + 18*x)/3,x]","3 x^2-\frac{8 x}{3}","x^2+\left(2 x-\frac{8}{3}\right) x-5+\log (3)",1,"(-8*x)/3 + 3*x^2","A",1
2867,1,26,26,0.2014686,"\int \frac{e^{x+\frac{3 x}{\log (x)}} (6+24 x) \log ^2(x)+e^{x+\frac{2 x}{\log (x)}} (72+288 x) \log ^2(x)+\left(20-20 x+e^x (384+1536 x)\right) \log ^2(x)+e^{\frac{x}{\log (x)}} \left(10 x-10 x \log (x)+\left(5-5 x+e^x (288+1152 x)\right) \log ^2(x)\right)}{64 e^x \log ^2(x)+48 e^{x+\frac{x}{\log (x)}} \log ^2(x)+12 e^{x+\frac{2 x}{\log (x)}} \log ^2(x)+e^{x+\frac{3 x}{\log (x)}} \log ^2(x)} \, dx","Integrate[(E^(x + (3*x)/Log[x])*(6 + 24*x)*Log[x]^2 + E^(x + (2*x)/Log[x])*(72 + 288*x)*Log[x]^2 + (20 - 20*x + E^x*(384 + 1536*x))*Log[x]^2 + E^(x/Log[x])*(10*x - 10*x*Log[x] + (5 - 5*x + E^x*(288 + 1152*x))*Log[x]^2))/(64*E^x*Log[x]^2 + 48*E^(x + x/Log[x])*Log[x]^2 + 12*E^(x + (2*x)/Log[x])*Log[x]^2 + E^(x + (3*x)/Log[x])*Log[x]^2),x]","x \left(12 x+\frac{5 e^{-x}}{\left(e^{\frac{x}{\log (x)}}+4\right)^2}+6\right)","x \left(12 x+\frac{5 e^{-x}}{\left(e^{\frac{x}{\log (x)}}+4\right)^2}+6\right)",1,"x*(6 + 5/(E^x*(4 + E^(x/Log[x]))^2) + 12*x)","A",1
2868,1,27,26,0.0760923,"\int \frac{-6 x^3+e^{5+3 x} \left(-1-2 x^2-x^4\right)+e^{5-x} \left(-x^2-2 x^4-x^6\right)+e^{2 x} \left(3-6 x-3 x^2-6 x^3+e^{5-x} \left(-2 x-4 x^3-2 x^5\right)\right)}{x^2+2 x^4+x^6+e^{4 x} \left(1+2 x^2+x^4\right)+e^{2 x} \left(2 x+4 x^3+2 x^5\right)} \, dx","Integrate[(-6*x^3 + E^(5 + 3*x)*(-1 - 2*x^2 - x^4) + E^(5 - x)*(-x^2 - 2*x^4 - x^6) + E^(2*x)*(3 - 6*x - 3*x^2 - 6*x^3 + E^(5 - x)*(-2*x - 4*x^3 - 2*x^5)))/(x^2 + 2*x^4 + x^6 + E^(4*x)*(1 + 2*x^2 + x^4) + E^(2*x)*(2*x + 4*x^3 + 2*x^5)),x]","\frac{3 x}{\left(x+e^{2 x}\right) \left(x^2+1\right)}+e^{5-x}","e^{5-x}+\frac{3}{\left(x+e^{2 x}\right) \left(x+\frac{1}{x}\right)}",1,"E^(5 - x) + (3*x)/((E^(2*x) + x)*(1 + x^2))","A",1
2869,1,17,20,0.005475,"\int \frac{-4-14 x^2+2 x^3-x^2 \log (x)}{x^2} \, dx","Integrate[(-4 - 14*x^2 + 2*x^3 - x^2*Log[x])/x^2,x]","x^2-13 x+\frac{4}{x}-x \log (x)","(7-x)^2+x+\frac{4}{x}-x \log (x)-2",1,"4/x - 13*x + x^2 - x*Log[x]","A",1
2870,1,22,24,0.1346468,"\int \frac{(-4+4 \log (x)) \log \left(\frac{5 x}{4}\right)-\log (x) \log \left(\frac{\log ^2(x)}{x^2}\right)}{x \log (x) \log \left(\frac{5 x}{4}\right) \log \left(\frac{\log ^2(x)}{x^2}\right)} \, dx","Integrate[((-4 + 4*Log[x])*Log[(5*x)/4] - Log[x]*Log[Log[x]^2/x^2])/(x*Log[x]*Log[(5*x)/4]*Log[Log[x]^2/x^2]),x]","-2 \log \left(\log \left(\frac{\log ^2(x)}{x^2}\right)\right)-\log \left(\log \left(\frac{5 x}{4}\right)\right)","\log \left(\frac{1}{3 \log \left(\frac{5 x}{4}\right) \log ^2\left(\frac{\log ^2(x)}{x^2}\right)}\right)",1,"-Log[Log[(5*x)/4]] - 2*Log[Log[Log[x]^2/x^2]]","A",1
2871,1,28,26,0.0111456,"\int \frac{128 x^2+64 x^3-8 x^6+e^3 \left(-256-192 x-32 x^2\right)}{x^5} \, dx","Integrate[(128*x^2 + 64*x^3 - 8*x^6 + E^3*(-256 - 192*x - 32*x^2))/x^5,x]","-\frac{4 \left(x^2 \left(x^4+16 x+16\right)-4 e^3 (x+2)^2\right)}{x^4}","4 \left(\frac{e^3}{x}-x\right) \left(\frac{(2 x+4)^2}{x^3}+x\right)",1,"(-4*(-4*E^3*(2 + x)^2 + x^2*(16 + 16*x + x^4)))/x^4","A",1
2872,1,10,12,0.0000861,"\int 12 e^{2/5} x^2 \, dx","Integrate[12*E^(2/5)*x^2,x]","4 e^{2/5} x^3","4 e^{2/5} x^3-1",1,"4*E^(2/5)*x^3","A",1
2873,1,20,24,0.0116362,"\int \frac{15 x-30 x \log (x)+\left(40 x-20 x^3\right) \log ^2(x)}{\log ^2(x)} \, dx","Integrate[(15*x - 30*x*Log[x] + (40*x - 20*x^3)*Log[x]^2)/Log[x]^2,x]","-5 x^4+20 x^2-\frac{15 x^2}{\log (x)}","\frac{5 x^3 \left(-x^2-\frac{3}{\log (x)}+4\right)+x}{x}",1,"20*x^2 - 5*x^4 - (15*x^2)/Log[x]","A",1
2874,1,12,14,0.0167065,"\int \left(e^x (54+x)-9 e^x \log (\log (4))\right) \, dx","Integrate[E^x*(54 + x) - 9*E^x*Log[Log[4]],x]","e^x (x+53-9 \log (\log (4)))","e^x (x-1-9 (\log (\log (4))-6))",1,"E^x*(53 + x - 9*Log[Log[4]])","A",1
2875,1,42,29,0.2892459,"\int \frac{15-21 x-36 x^2+(12+12 x) \log (x)+(2+4 x+(2+4 x) \log (x)) \log \left(x+x^2\right)+\left(-8+16 x+24 x^2+(-7-7 x) \log (x)\right) \log ^2\left(x+x^2\right)+\left(1-3 x-4 x^2+(1+x) \log (x)\right) \log ^4\left(x+x^2\right)+\left(3-15 x-18 x^2+(12+12 x) \log (x)+\left(-1+11 x+12 x^2+(-7-7 x) \log (x)\right) \log ^2\left(x+x^2\right)+\left(-2 x-2 x^2+(1+x) \log (x)\right) \log ^4\left(x+x^2\right)\right) \log \left(\frac{-1+6 x-4 \log (x)+(-2 x+\log (x)) \log ^2\left(x+x^2\right)}{-3+\log ^2\left(x+x^2\right)}\right)}{3-15 x-18 x^2+(12+12 x) \log (x)+\left(-1+11 x+12 x^2+(-7-7 x) \log (x)\right) \log ^2\left(x+x^2\right)+\left(-2 x-2 x^2+(1+x) \log (x)\right) \log ^4\left(x+x^2\right)} \, dx","Integrate[(15 - 21*x - 36*x^2 + (12 + 12*x)*Log[x] + (2 + 4*x + (2 + 4*x)*Log[x])*Log[x + x^2] + (-8 + 16*x + 24*x^2 + (-7 - 7*x)*Log[x])*Log[x + x^2]^2 + (1 - 3*x - 4*x^2 + (1 + x)*Log[x])*Log[x + x^2]^4 + (3 - 15*x - 18*x^2 + (12 + 12*x)*Log[x] + (-1 + 11*x + 12*x^2 + (-7 - 7*x)*Log[x])*Log[x + x^2]^2 + (-2*x - 2*x^2 + (1 + x)*Log[x])*Log[x + x^2]^4)*Log[(-1 + 6*x - 4*Log[x] + (-2*x + Log[x])*Log[x + x^2]^2)/(-3 + Log[x + x^2]^2)])/(3 - 15*x - 18*x^2 + (12 + 12*x)*Log[x] + (-1 + 11*x + 12*x^2 + (-7 - 7*x)*Log[x])*Log[x + x^2]^2 + (-2*x - 2*x^2 + (1 + x)*Log[x])*Log[x + x^2]^4),x]","x+x \log \left(\frac{6 x+(\log (x)-2 x) \log ^2(x (x+1))-4 \log (x)-1}{\log ^2(x (x+1))-3}\right)","x \log \left(-\frac{\log (x)+1}{\log ^2\left(x^2+x\right)-3}-2 x+\log (x)\right)+x",1,"x + x*Log[(-1 + 6*x - 4*Log[x] + (-2*x + Log[x])*Log[x*(1 + x)]^2)/(-3 + Log[x*(1 + x)]^2)]","A",1
2876,1,27,22,0.0542029,"\int \left(-4 x+12 x^2+e^x \left(4-5 x-5 x^2\right)+e^x \left(2 x+x^2\right) \log (x)\right) \, dx","Integrate[-4*x + 12*x^2 + E^x*(4 - 5*x - 5*x^2) + E^x*(2*x + x^2)*Log[x],x]","x \left(e^x (4-5 x)+2 x (2 x-1)+e^x x \log (x)\right)","x^2 \left(4 x+e^x \left(\frac{4}{x}+\log (x)-5\right)-2\right)",1,"x*(E^x*(4 - 5*x) + 2*x*(-1 + 2*x) + E^x*x*Log[x])","A",1
2877,1,9,9,0.0020626,"\int \frac{5}{4} e^{\frac{x^5}{4}} x^4 \, dx","Integrate[(5*E^(x^5/4)*x^4)/4,x]","e^{\frac{x^5}{4}}","e^{\frac{x^5}{4}}",1,"E^(x^5/4)","A",1
2878,1,20,20,0.0065148,"\int \frac{-414720+552960 \log (2)-276480 \log ^2(2)+61440 \log ^3(2)-5120 \log ^4(2)+\left(-414720+552960 \log (2)-276480 \log ^2(2)+61440 \log ^3(2)-5120 \log ^4(2)\right) \log (4)+\left(-155520+207360 \log (2)-103680 \log ^2(2)+23040 \log ^3(2)-1920 \log ^4(2)\right) \log ^2(4)+\left(-25920+34560 \log (2)-17280 \log ^2(2)+3840 \log ^3(2)-320 \log ^4(2)\right) \log ^3(4)+\left(-1620+2160 \log (2)-1080 \log ^2(2)+240 \log ^3(2)-20 \log ^4(2)\right) \log ^4(4)}{x^{21} \log ^4(4)} \, dx","Integrate[(-414720 + 552960*Log[2] - 276480*Log[2]^2 + 61440*Log[2]^3 - 5120*Log[2]^4 + (-414720 + 552960*Log[2] - 276480*Log[2]^2 + 61440*Log[2]^3 - 5120*Log[2]^4)*Log[4] + (-155520 + 207360*Log[2] - 103680*Log[2]^2 + 23040*Log[2]^3 - 1920*Log[2]^4)*Log[4]^2 + (-25920 + 34560*Log[2] - 17280*Log[2]^2 + 3840*Log[2]^3 - 320*Log[2]^4)*Log[4]^3 + (-1620 + 2160*Log[2] - 1080*Log[2]^2 + 240*Log[2]^3 - 20*Log[2]^4)*Log[4]^4)/(x^21*Log[4]^4),x]","\frac{(\log (2)-3)^4 (4+\log (4))^4}{x^{20} \log ^4(4)}","\frac{(\log (2)-3)^4 (4+\log (4))^4}{x^{20} \log ^4(4)}",1,"((-3 + Log[2])^4*(4 + Log[4])^4)/(x^20*Log[4]^4)","A",1
2879,1,18,25,0.0090481,"\int \frac{5696-3328 x+2560 x^2-512 x^3+256 x^4}{81-36 x+40 x^2-8 x^3+4 x^4} \, dx","Integrate[(5696 - 3328*x + 2560*x^2 - 512*x^3 + 256*x^4)/(81 - 36*x + 40*x^2 - 8*x^3 + 4*x^4),x]","64 \left(\frac{4}{2 x^2-2 x+9}+x\right)","4 x \left(\log \left(e^{\frac{32}{x \left(x^2-x+\frac{9}{2}\right)}}\right)+16\right)",1,"64*(x + 4/(9 - 2*x + 2*x^2))","A",1
2880,1,22,22,0.0277556,"\int \frac{1}{3} \left(-6 x-2 x^2+2 x \log ^2\left(-x^2\right)+\log (x) \left(-12 x-6 x^2+8 x \log \left(-x^2\right)+4 x \log ^2\left(-x^2\right)\right)\right) \, dx","Integrate[(-6*x - 2*x^2 + 2*x*Log[-x^2]^2 + Log[x]*(-12*x - 6*x^2 + 8*x*Log[-x^2] + 4*x*Log[-x^2]^2))/3,x]","-\frac{2}{3} x^2 \log (x) \left(-\log ^2\left(-x^2\right)+x+3\right)","\frac{2}{3} x^2 \log (x) \left(\log ^2\left(-x^2\right)-x-3\right)",1,"(-2*x^2*Log[x]*(3 + x - Log[-x^2]^2))/3","A",1
2881,1,23,25,0.9707709,"\int \frac{e^{-1-e^x+x+5 x^2+x \log \left(\log ^2(\log (x))\right)} \left(2+\left(1-e^x+10 x\right) \log (x) \log (\log (x))+\log (x) \log (\log (x)) \log \left(\log ^2(\log (x))\right)\right)}{\log (x) \log (\log (x))} \, dx","Integrate[(E^(-1 - E^x + x + 5*x^2 + x*Log[Log[Log[x]]^2])*(2 + (1 - E^x + 10*x)*Log[x]*Log[Log[x]] + Log[x]*Log[Log[x]]*Log[Log[Log[x]]^2]))/(Log[x]*Log[Log[x]]),x]","e^{5 x^2+x-e^x-1} \log ^2(\log (x))^x","e^{x^2+x-e^x+x \left(4 x+\log \left(\log ^2(\log (x))\right)\right)-1}",1,"E^(-1 - E^x + x + 5*x^2)*(Log[Log[x]]^2)^x","A",1
2882,1,26,19,0.0357047,"\int \frac{1}{25} \left(240+288 x+48 x^2+e^{x^2} \left(32+64 x+64 x^2+32 x^3\right)\right) \, dx","Integrate[(240 + 288*x + 48*x^2 + E^x^2*(32 + 64*x + 64*x^2 + 32*x^3))/25,x]","\frac{16}{25} \left(e^{x^2} (x+1)^2+x \left(x^2+9 x+15\right)\right)","\frac{1}{25} \left(e^{x^2}+x+7\right) (4 x+4)^2",1,"(16*(E^x^2*(1 + x)^2 + x*(15 + 9*x + x^2)))/25","A",1
2883,1,32,35,0.0415106,"\int \frac{x+2 e^{2 e^{x^2}+x^2} x-\log (2) \log ^2\left(1+2 e^5+e^{10}\right)+e^{e^{x^2}} \left(-1-2 e^{x^2} x^2+2 e^{x^2} x \log (2) \log ^2\left(1+2 e^5+e^{10}\right)\right)}{\log ^2(2)} \, dx","Integrate[(x + 2*E^(2*E^x^2 + x^2)*x - Log[2]*Log[1 + 2*E^5 + E^10]^2 + E^E^x^2*(-1 - 2*E^x^2*x^2 + 2*E^x^2*x*Log[2]*Log[1 + 2*E^5 + E^10]^2))/Log[2]^2,x]","\frac{\left(e^{e^{x^2}}-x+\log (16) \log ^2\left(1+e^5\right)\right)^2}{2 \log ^2(2)}","\frac{1}{2} \left(\left(\frac{e^{e^{x^2}}-x}{\log (2)}+4 \log ^2\left(1+e^5\right)\right)^2+5\right)",1,"(E^E^x^2 - x + Log[16]*Log[1 + E^5]^2)^2/(2*Log[2]^2)","A",1
2884,1,12,29,0.0140912,"\int \frac{6-x+(-3+x) \log (3-x)}{-3+x} \, dx","Integrate[(6 - x + (-3 + x)*Log[3 - x])/(-3 + x),x]","x \log (3-x)-2 x","-x^2+x (x+\log (3-x)-2)-i \pi +e^3-\log (5)",1,"-2*x + x*Log[3 - x]","A",1
2885,1,22,21,0.2170716,"\int \frac{-5+4 e^{1+x} x^3+\left(40+e^{1+x} \left(-128 x^3-32 x^4\right)+\left(5+e^{1+x} \left(-16 x^3-4 x^4\right)\right) \log (x)\right) \log (8+\log (x))}{(8+\log (x)) \log ^2(8+\log (x))} \, dx","Integrate[(-5 + 4*E^(1 + x)*x^3 + (40 + E^(1 + x)*(-128*x^3 - 32*x^4) + (5 + E^(1 + x)*(-16*x^3 - 4*x^4))*Log[x])*Log[8 + Log[x]])/((8 + Log[x])*Log[8 + Log[x]]^2),x]","-\frac{x \left(4 e^{x+1} x^3-5\right)}{\log (\log (x)+8)}","\frac{x \left(5-4 e^{x+1} x^3\right)}{\log (\log (x)+8)}",1,"-((x*(-5 + 4*E^(1 + x)*x^3))/Log[8 + Log[x]])","A",1
2886,1,41,30,0.109257,"\int \frac{e^{7-3 x^2} \left(18 x-18 e^2 x\right)}{-1+e^3 \left(11-12 e^2\right)+e^{7-3 x^2} \left(-3+3 e^2\right)} \, dx","Integrate[(E^(7 - 3*x^2)*(18*x - 18*E^2*x))/(-1 + E^3*(11 - 12*E^2) + E^(7 - 3*x^2)*(-3 + 3*E^2)),x]","\log \left(3 e^{7-3 x^2}-3 e^{8-3 x^2}+1-e+e^2-12 e^3+12 e^4\right)","\log \left(e^{4-3 x^2}-4-\frac{5+\frac{5}{e^3}}{15 \left(e^2-1\right)}\right)",1,"Log[1 - E + E^2 - 12*E^3 + 12*E^4 + 3*E^(7 - 3*x^2) - 3*E^(8 - 3*x^2)]","A",1
2887,1,17,19,0.0155794,"\int \frac{-9+e+e^x (-1+x)+4 x^2}{x^2} \, dx","Integrate[(-9 + E + E^x*(-1 + x) + 4*x^2)/x^2,x]","\frac{4 x^2+e^x-e+9}{x}","4 x+\frac{3 x+e^x-e+9}{x}",1,"(9 - E + E^x + 4*x^2)/x","A",1
2888,1,27,25,0.4209767,"\int \frac{1}{3} \left(-5+e^{-9-x+e^5 x-e^x x} \left(-3+3 e^5+e^x (-3-3 x)\right)\right) \, dx","Integrate[(-5 + E^(-9 - x + E^5*x - E^x*x)*(-3 + 3*E^5 + E^x*(-3 - 3*x)))/3,x]","\frac{1}{3} \left(3 e^{-e^x x+\left(e^5-1\right) x-9}-5 x\right)","-\frac{5 x}{3}+e^{\left(e^5-e^x\right) x-x-9}+1",1,"(3*E^(-9 - E^x*x + (-1 + E^5)*x) - 5*x)/3","A",1
2889,1,22,28,0.0072195,"\int \frac{-e-48 x^3+6 e^2 x^3+18 e^x x^3}{6 x^3} \, dx","Integrate[(-E - 48*x^3 + 6*E^2*x^3 + 18*E^x*x^3)/(6*x^3),x]","\frac{e}{12 x^2}+e^2 x-8 x+3 e^x","\frac{e}{12 x^2}-3 \left(2-e^x\right)-\left(8-e^2\right) x",1,"3*E^x + E/(12*x^2) - 8*x + E^2*x","A",1
2890,1,9,14,0.0249496,"\int \frac{2}{(-4+x) \log (-8+2 x)} \, dx","Integrate[2/((-4 + x)*Log[-8 + 2*x]),x]","2 \log (\log (2 (x-4)))","\log \left(\log ^2\left(\log \left(e^{2 x}\right)-8\right)\right)+3",1,"2*Log[Log[2*(-4 + x)]]","A",1
2891,1,50,27,0.0117773,"\int \frac{i \pi +4 x+\log \left(\frac{1}{10} \left(50-\log ^2\left(\frac{5}{3}\right)\right)\right)}{x \left(i \pi +\log \left(\frac{1}{10} \left(50-\log ^2\left(\frac{5}{3}\right)\right)\right)\right)} \, dx","Integrate[(I*Pi + 4*x + Log[(50 - Log[5/3]^2)/10])/(x*(I*Pi + Log[(50 - Log[5/3]^2)/10])),x]","\frac{\left(\pi -i \log \left(5-\frac{1}{10} \log ^2\left(\frac{5}{3}\right)\right)\right) \log (x)-4 i x}{\pi -i \log \left(5-\frac{1}{10} \log ^2\left(\frac{5}{3}\right)\right)}","\log (x)+\frac{4 x}{\log \left(5-\frac{1}{10} \log ^2\left(\frac{5}{3}\right)\right)+i \pi }",1,"((-4*I)*x + Log[x]*(Pi - I*Log[5 - Log[5/3]^2/10]))/(Pi - I*Log[5 - Log[5/3]^2/10])","A",1
2892,1,25,26,0.0665965,"\int \frac{e^{-e^x} \left(e^{e^x} \left(-124+56 x-7 x^2\right)+e^2 \left(-16+8 x-x^2\right)+e^{2+x} \left(16 x-8 x^2+x^3\right)\right)}{16-8 x+x^2} \, dx","Integrate[(E^E^x*(-124 + 56*x - 7*x^2) + E^2*(-16 + 8*x - x^2) + E^(2 + x)*(16*x - 8*x^2 + x^3))/(E^E^x*(16 - 8*x + x^2)),x]","-7 (x-4)-e^{2-e^x} x+\frac{12}{x-4}","-e^{2-e^x} x+\frac{3 x}{x-4}-7 x+\log (2)",1,"12/(-4 + x) - 7*(-4 + x) - E^(2 - E^x)*x","A",1
2893,1,35,32,0.587831,"\int \frac{20 x+129 x^2+50 x^3+5 x^4+\left(60+730 x+171 x^2-20 x^3-5 x^4\right) \log (x)+\left(-60-387 x-150 x^2-15 x^3\right) \log \left(\frac{4 x+25 x^2+5 x^3}{75+15 x}\right)}{\left(20 x+129 x^2+50 x^3+5 x^4\right) \log ^2(x)} \, dx","Integrate[(20*x + 129*x^2 + 50*x^3 + 5*x^4 + (60 + 730*x + 171*x^2 - 20*x^3 - 5*x^4)*Log[x] + (-60 - 387*x - 150*x^2 - 15*x^3)*Log[(4*x + 25*x^2 + 5*x^3)/(75 + 15*x)])/((20*x + 129*x^2 + 50*x^3 + 5*x^4)*Log[x]^2),x]","\frac{3 \log \left(\frac{x \left(5 x^2+25 x+4\right)}{15 (x+5)}\right)}{\log (x)}-\frac{x}{\log (x)}","\frac{-x-\log (x)+3 \log \left(\frac{1}{3} x \left(x+\frac{4}{5 (x+5)}\right)\right)}{\log (x)}",1,"-(x/Log[x]) + (3*Log[(x*(4 + 25*x + 5*x^2))/(15*(5 + x))])/Log[x]","A",1
2894,1,46,24,0.0535517,"\int \frac{4-20 x-32 x^2-9 x^3+\left(-8 x-8 x^2-2 x^3\right) \log (x)+\left(4+4 x+x^2\right) \log (\log (2))}{4 x-6 x^2-12 x^3-4 x^4+\left(-4 x^2-4 x^3-x^4\right) \log (x)+\left(4 x+4 x^2+x^3\right) \log (\log (2))} \, dx","Integrate[(4 - 20*x - 32*x^2 - 9*x^3 + (-8*x - 8*x^2 - 2*x^3)*Log[x] + (4 + 4*x + x^2)*Log[Log[2]])/(4*x - 6*x^2 - 12*x^3 - 4*x^4 + (-4*x^2 - 4*x^3 - x^4)*Log[x] + (4*x + 4*x^2 + x^3)*Log[Log[2]]),x]","\log \left(-4 x^2+x^2 (-\log (x))-4 x-2 x \log (x)+x \log (\log (2))+2+2 \log (\log (2))\right)+2 \log (x)-\log (x (x+2))","\log \left(-\left(x^2 \left(-\frac{3}{x+2}+\log (x)+4\right)\right)+x+x \log (\log (2))\right)",1,"2*Log[x] - Log[x*(2 + x)] + Log[2 - 4*x - 4*x^2 - 2*x*Log[x] - x^2*Log[x] + 2*Log[Log[2]] + x*Log[Log[2]]]","A",1
2895,1,21,26,0.0483218,"\int \frac{1}{9} \left(e^{2 x} (-9-18 x)+e^x \left(27+27 x-x^2\right)\right) \, dx","Integrate[(E^(2*x)*(-9 - 18*x) + E^x*(27 + 27*x - x^2))/9,x]","-\frac{1}{9} e^x \left(x^2+\left(9 e^x-29\right) x+2\right)","e^x \left(\frac{1}{9} \left(-x-\frac{2}{x}+2\right)-e^x+3\right) x",1,"-1/9*(E^x*(2 + (-29 + 9*E^x)*x + x^2))","A",1
2896,1,50,25,0.5154641,"\int \frac{e^4 \left(65536 x^4+49152 x^3 \log (2)+13824 x^2 \log ^2(2)+1728 x \log ^3(2)+81 \log ^4(2)\right) \left(-16 x-240 x^2+(-3+15 x) \log (2)+64 x \log (x)\right)}{\log ^4(2) (5 x-\log (x)) \left(-80 x^3-15 x^2 \log (2)+\left(16 x^2+3 x \log (2)\right) \log (x)\right)} \, dx","Integrate[(E^4*(65536*x^4 + 49152*x^3*Log[2] + 13824*x^2*Log[2]^2 + 1728*x*Log[2]^3 + 81*Log[2]^4)*(-16*x - 240*x^2 + (-3 + 15*x)*Log[2] + 64*x*Log[x]))/(Log[2]^4*(5*x - Log[x])*(-80*x^3 - 15*x^2*Log[2] + (16*x^2 + 3*x*Log[2])*Log[x])),x]","-\frac{e^4 \left(80 x^2-16 x+15 x \log (2)-\log (8)\right) (16 x+\log (8))^3}{(5 x-1) \log ^4(2) (\log (x)-5 x)}","\frac{e^4 \left(\frac{16 x}{\log (2)}+3\right)^4}{5 x-\log (x)}",1,"-((E^4*(-16*x + 80*x^2 + 15*x*Log[2] - Log[8])*(16*x + Log[8])^3)/((-1 + 5*x)*Log[2]^4*(-5*x + Log[x])))","A",1
2897,1,26,31,0.3611053,"\int \frac{e^{-\frac{e^5+5 x}{x}} \left(4 e^{5+4 e^{-\frac{e^5+5 x}{x}}}+e^{\frac{e^5+5 x}{x}} \left(2 x^2-2 x^3-6 x^4+4 x^5\right)+e^{2 e^{-\frac{e^5+5 x}{x}}} \left(e^5 \left(4+4 x-4 x^2\right)+e^{\frac{e^5+5 x}{x}} \left(2 x^2-4 x^3\right)\right)\right)}{x^2} \, dx","Integrate[(4*E^(5 + 4/E^((E^5 + 5*x)/x)) + E^((E^5 + 5*x)/x)*(2*x^2 - 2*x^3 - 6*x^4 + 4*x^5) + E^(2/E^((E^5 + 5*x)/x))*(E^5*(4 + 4*x - 4*x^2) + E^((E^5 + 5*x)/x)*(2*x^2 - 4*x^3)))/(E^((E^5 + 5*x)/x)*x^2),x]","\left(-x^2+x+e^{2 e^{-\frac{e^5}{x}-5}}+1\right)^2","\left(-x^2+x+e^{2 e^{-\frac{e^5}{x}-5}}+1\right)^2+e^4-2",1,"(1 + E^(2*E^(-5 - E^5/x)) + x - x^2)^2","A",1
2898,1,51,22,0.5608788,"\int \frac{3-3 x^2+\exp \left(\exp \left(x^4+4 x^4 \log (x)+6 x^4 \log ^2(x)+4 x^4 \log ^3(x)+x^4 \log ^4(x)\right)+x^4+4 x^4 \log (x)+6 x^4 \log ^2(x)+4 x^4 \log ^3(x)+x^4 \log ^4(x)\right) \left(8 x^3+28 x^3 \log (x)+36 x^3 \log ^2(x)+20 x^3 \log ^3(x)+4 x^3 \log ^4(x)\right)}{\exp \left(\exp \left(x^4+4 x^4 \log (x)+6 x^4 \log ^2(x)+4 x^4 \log ^3(x)+x^4 \log ^4(x)\right)\right)+3 x-x^3} \, dx","Integrate[(3 - 3*x^2 + E^(E^(x^4 + 4*x^4*Log[x] + 6*x^4*Log[x]^2 + 4*x^4*Log[x]^3 + x^4*Log[x]^4) + x^4 + 4*x^4*Log[x] + 6*x^4*Log[x]^2 + 4*x^4*Log[x]^3 + x^4*Log[x]^4)*(8*x^3 + 28*x^3*Log[x] + 36*x^3*Log[x]^2 + 20*x^3*Log[x]^3 + 4*x^3*Log[x]^4))/(E^E^(x^4 + 4*x^4*Log[x] + 6*x^4*Log[x]^2 + 4*x^4*Log[x]^3 + x^4*Log[x]^4) + 3*x - x^3),x]","\log \left(\exp \left(\exp \left(x^4+x^4 \log ^4(x)+4 x^4 \log ^3(x)+6 x^4 \log ^2(x)+4 x^4 \log (x)\right)\right)-x^3+3 x\right)","\log \left(-x^3+3 x+e^{e^{(x+x \log (x))^4}}\right)",1,"Log[E^E^(x^4 + 4*x^4*Log[x] + 6*x^4*Log[x]^2 + 4*x^4*Log[x]^3 + x^4*Log[x]^4) + 3*x - x^3]","B",1
2899,1,34,33,0.0939836,"\int \frac{42-9 x-36 x^2-15 x^3+\left(9 x+9 x^2\right) \log (x)+\left(-42 x-42 x^2-6 x^3+\left(42+42 x+6 x^2\right) \log (x)\right) \log \left(-\frac{x}{-2 x+2 \log (x)}\right)}{-4 x^3-4 x^4-x^5+\left(4 x^2+4 x^3+x^4\right) \log (x)} \, dx","Integrate[(42 - 9*x - 36*x^2 - 15*x^3 + (9*x + 9*x^2)*Log[x] + (-42*x - 42*x^2 - 6*x^3 + (42 + 42*x + 6*x^2)*Log[x])*Log[-(x/(-2*x + 2*Log[x]))])/(-4*x^3 - 4*x^4 - x^5 + (4*x^2 + 4*x^3 + x^4)*Log[x]),x]","-\frac{3 \left(5 x+(2 x+7) \log \left(\frac{x}{2 x-2 \log (x)}\right)+7\right)}{x (x+2)}","\frac{3 \left(\frac{x-1}{x+2}-3\right) \left(x+\log \left(\frac{x}{2 (x-\log (x))}\right)+1\right)}{x}",1,"(-3*(7 + 5*x + (7 + 2*x)*Log[x/(2*x - 2*Log[x])]))/(x*(2 + x))","A",1
2900,1,10,10,0.0010116,"\int \frac{-17+24 x}{12 x} \, dx","Integrate[(-17 + 24*x)/(12*x),x]","2 x-\frac{17 \log (x)}{12}","2 x-\frac{17 \log (x)}{12}",1,"2*x - (17*Log[x])/12","A",1
2901,1,30,19,0.061069,"\int \frac{-9-17 x-98 x^2-25 x^3+\left(1800 x+475 x^2-75 x^3\right) \log (-9+x)+(9-x) \log (x)}{-9+x} \, dx","Integrate[(-9 - 17*x - 98*x^2 - 25*x^3 + (1800*x + 475*x^2 - 75*x^3)*Log[-9 + x] + (9 - x)*Log[x])/(-9 + x),x]","-25 x^3 \log (x-9)+x^2-100 x^2 \log (x-9)+2 x-x \log (x)","x (x-25 (x+4) x \log (x-9)-\log (x)+2)",1,"2*x + x^2 - 100*x^2*Log[-9 + x] - 25*x^3*Log[-9 + x] - x*Log[x]","A",1
2902,1,14,19,0.2102946,"\int \frac{-2-4 x+\left(-2 x-4 x^2-2 x^3\right) \log \left(x+x^2\right)+\left(-2 x-2 x^2\right) \log \left(x+x^2\right) \log \left(\log \left(x+x^2\right)\right)}{\left(x^2+x^3\right) \log \left(x+x^2\right)+\left(x+x^2\right) \log \left(x+x^2\right) \log \left(\log \left(x+x^2\right)\right)} \, dx","Integrate[(-2 - 4*x + (-2*x - 4*x^2 - 2*x^3)*Log[x + x^2] + (-2*x - 2*x^2)*Log[x + x^2]*Log[Log[x + x^2]])/((x^2 + x^3)*Log[x + x^2] + (x + x^2)*Log[x + x^2]*Log[Log[x + x^2]]),x]","-2 (x+\log (x+\log (\log (x (x+1)))))","2 (-x-\log (x+\log (\log (x (x+1))))+3)",1,"-2*(x + Log[x + Log[Log[x*(1 + x)]]])","A",1
2903,1,51,34,0.0228772,"\int \frac{-200-120 x^2+50 x^3-56 x^4+12 x^5-10 x^6+2 x^7+x^9+2 x^{10}}{100 x+80 x^3-40 x^4+56 x^5-16 x^6+20 x^7-8 x^8+4 x^9+4 x^{10}+4 x^{11}} \, dx","Integrate[(-200 - 120*x^2 + 50*x^3 - 56*x^4 + 12*x^5 - 10*x^6 + 2*x^7 + x^9 + 2*x^10)/(100*x + 80*x^3 - 40*x^4 + 56*x^5 - 16*x^6 + 20*x^7 - 8*x^8 + 4*x^9 + 4*x^10 + 4*x^11),x]","\frac{1}{4} \left(\log \left(x^{10}+x^9+x^8-2 x^7+5 x^6-4 x^5+14 x^4-10 x^3+20 x^2+25\right)-8 \log (x)\right)","\frac{1}{4} \log \left(x^2+\frac{\left(\frac{\frac{5}{x^2}-x+2}{x}+x\right)^2}{x^2}+x\right)+1",1,"(-8*Log[x] + Log[25 + 20*x^2 - 10*x^3 + 14*x^4 - 4*x^5 + 5*x^6 - 2*x^7 + x^8 + x^9 + x^10])/4","A",1
2904,1,20,23,0.017277,"\int \frac{-4 e^2+118098 x-16 x^2+e (-39366+16 x)}{e^2 x^3-4 e x^4+4 x^5} \, dx","Integrate[(-4*E^2 + 118098*x - 16*x^2 + E*(-39366 + 16*x))/(E^2*x^3 - 4*E*x^4 + 4*x^5),x]","-\frac{4 x-2 e-19683}{(e-2 x) x^2}","\frac{\frac{1}{2} \left(x^2+4\right)+\frac{19683}{e-2 x}}{x^2}",1,"-((-19683 - 2*E + 4*x)/((E - 2*x)*x^2))","A",1
2905,1,16,17,0.0134492,"\int \frac{-1+\left(1+x-2 x^2\right) \log (5 x)}{x \log (5 x)} \, dx","Integrate[(-1 + (1 + x - 2*x^2)*Log[5*x])/(x*Log[5*x]),x]","-x^2+x+\log (x)-\log (\log (5 x))","-x^2+x+\log (x)-\log (\log (5 x))-11",1,"x - x^2 + Log[x] - Log[Log[5*x]]","A",1
2906,1,20,24,0.2845031,"\int \frac{-1+e^x \left(-120 x^3+60 x^4\right)}{3+e^x \left(1440 x-1440 x^2+360 x^3\right)+e^{2 x} \left(172800 x^2-345600 x^3+259200 x^4-86400 x^5+10800 x^6\right)} \, dx","Integrate[(-1 + E^x*(-120*x^3 + 60*x^4))/(3 + E^x*(1440*x - 1440*x^2 + 360*x^3) + E^(2*x)*(172800*x^2 - 345600*x^3 + 259200*x^4 - 86400*x^5 + 10800*x^6)),x]","-\frac{x}{3 \left(60 e^x x (x-2)^2+1\right)}","e^5-\frac{x}{3 \left(60 e^x x (x-2)^2+1\right)}",1,"-1/3*x/(1 + 60*E^x*(-2 + x)^2*x)","A",1
2907,1,32,37,0.2444847,"\int \frac{\left(-40 x^2+40 x^3-10 x^4\right) \log ^2(x)+\left(2-3 x+x^2\right) \log \left(x-x^2\right)+\log (x) \left(-2+5 x-2 x^2+\left(2-2 x+x^2\right) \log \left(x-x^2\right)\right)}{\left(120 x^2-120 x^3+30 x^4\right) \log ^2(x)} \, dx","Integrate[((-40*x^2 + 40*x^3 - 10*x^4)*Log[x]^2 + (2 - 3*x + x^2)*Log[x - x^2] + Log[x]*(-2 + 5*x - 2*x^2 + (2 - 2*x + x^2)*Log[x - x^2]))/((120*x^2 - 120*x^3 + 30*x^4)*Log[x]^2),x]","\frac{1}{30} \left(-10 x-\frac{(x-1) \log (-((x-1) x))}{(x-2) x \log (x)}\right)","\frac{1}{3} \left(\frac{\log ((1-x) x)}{10 \left(\frac{x}{x-1}-x\right) \log (x)}-x\right)",1,"(-10*x - ((-1 + x)*Log[-((-1 + x)*x)])/((-2 + x)*x*Log[x]))/30","A",1
2908,1,27,24,0.438805,"\int \frac{200-75 x-25 x^2-200 x^3-120 x^4+40 x^5+\left(50-80 x^3-60 x^4\right) \log (x)}{100+100 x+25 x^2+160 x^3+160 x^4+40 x^5+64 x^6+64 x^7+16 x^8} \, dx","Integrate[(200 - 75*x - 25*x^2 - 200*x^3 - 120*x^4 + 40*x^5 + (50 - 80*x^3 - 60*x^4)*Log[x])/(100 + 100*x + 25*x^2 + 160*x^3 + 160*x^4 + 40*x^5 + 64*x^6 + 64*x^7 + 16*x^8),x]","\frac{5 x (-x+\log (x)+3)}{4 x^4+8 x^3+5 x+10}","\frac{5 x (-x+\log (x)+3)}{(x+2) \left(4 x^3+5\right)}",1,"(5*x*(3 - x + Log[x]))/(10 + 5*x + 8*x^3 + 4*x^4)","A",1
2909,1,52,25,0.0844143,"\int \frac{-25 x+10 x^2+e^{\frac{2}{5} \left(25+e^{25+x}+5 \log (5)+5 \log (x)\right)} \left(10+2 e^{25+x} x\right)+e^{\frac{1}{5} \left(25+e^{25+x}+5 \log (5)+5 \log (x)\right)} \left(-30+20 x+e^{25+x} \left(-6 x+2 x^2\right)\right)}{5 x} \, dx","Integrate[(-25*x + 10*x^2 + E^((2*(25 + E^(25 + x) + 5*Log[5] + 5*Log[x]))/5)*(10 + 2*E^(25 + x)*x) + E^((25 + E^(25 + x) + 5*Log[5] + 5*Log[x])/5)*(-30 + 20*x + E^(25 + x)*(-6*x + 2*x^2)))/(5*x),x]","25 e^{\frac{2 e^{x+25}}{5}+10} x^2+x^2+e^{\frac{e^{x+25}}{5}} \left(10 e^5 x^2-30 e^5 x\right)-5 x","\left(-5 e^{\frac{e^{x+25}}{5}+5} x-x+3\right)^2+x",1,"-5*x + x^2 + 25*E^(10 + (2*E^(25 + x))/5)*x^2 + E^(E^(25 + x)/5)*(-30*E^5*x + 10*E^5*x^2)","B",1
2910,1,16,19,0.0187023,"\int \frac{4+6 x+2 x^2+(2+2 x) \log ^2(2)+\left(4+2 x+2 \log ^2(2)\right) \log \left(\frac{25 x^2+50 x \log ^2(2)+25 \log ^4(2)}{e^{10}}\right)}{x+\log ^2(2)} \, dx","Integrate[(4 + 6*x + 2*x^2 + (2 + 2*x)*Log[2]^2 + (4 + 2*x + 2*Log[2]^2)*Log[(25*x^2 + 50*x*Log[2]^2 + 25*Log[2]^4)/E^10])/(x + Log[2]^2),x]","\left(x+\log \left(\left(x+\log ^2(2)\right)^2\right)-9+\log (25)\right)^2","\left(x+\log \left(\frac{25 \left(x+\log ^2(2)\right)^2}{e^{10}}\right)+1\right)^2",1,"(-9 + x + Log[25] + Log[(x + Log[2]^2)^2])^2","A",1
2911,1,21,21,0.2108316,"\int \frac{-1+e^{\frac{5+(10+x) \log (3)+\log (3) \log ^2(16)}{\log (3)}}}{\left(e^{\frac{5+(10+x) \log (3)+\log (3) \log ^2(16)}{\log (3)}}-x\right) \log \left(e^{\frac{5+(10+x) \log (3)+\log (3) \log ^2(16)}{\log (3)}}-x\right)} \, dx","Integrate[(-1 + E^((5 + (10 + x)*Log[3] + Log[3]*Log[16]^2)/Log[3]))/((E^((5 + (10 + x)*Log[3] + Log[3]*Log[16]^2)/Log[3]) - x)*Log[E^((5 + (10 + x)*Log[3] + Log[3]*Log[16]^2)/Log[3]) - x]),x]","\log \left(\log \left(e^{x+10+\log ^2(16)+\frac{5}{\log (3)}}-x\right)\right)","\log \left(\log \left(e^{x+10+\log ^2(16)+\frac{5}{\log (3)}}-x\right)\right)",1,"Log[Log[E^(10 + x + 5/Log[3] + Log[16]^2) - x]]","A",1
2912,1,25,27,0.1340866,"\int \frac{\exp \left(\frac{4-4 x-3 x^2+2 x^3+x^4}{x-2 e^{e^8 x} x+e^{2 e^8 x} x}\right) \left(4+3 x^2-4 x^3-3 x^4+e^{e^8 x} \left(-4-3 x^2+4 x^3+3 x^4+e^8 \left(-8 x+8 x^2+6 x^3-4 x^4-2 x^5\right)\right)\right)}{-x^2+3 e^{e^8 x} x^2-3 e^{2 e^8 x} x^2+e^{3 e^8 x} x^2} \, dx","Integrate[(E^((4 - 4*x - 3*x^2 + 2*x^3 + x^4)/(x - 2*E^(E^8*x)*x + E^(2*E^8*x)*x))*(4 + 3*x^2 - 4*x^3 - 3*x^4 + E^(E^8*x)*(-4 - 3*x^2 + 4*x^3 + 3*x^4 + E^8*(-8*x + 8*x^2 + 6*x^3 - 4*x^4 - 2*x^5))))/(-x^2 + 3*E^(E^8*x)*x^2 - 3*E^(2*E^8*x)*x^2 + E^(3*E^8*x)*x^2),x]","e^{\frac{\left(x^2+x-2\right)^2}{\left(e^{e^8 x}-1\right)^2 x}}","e^{\frac{\left(x^2+x-2\right)^2}{\left(1-e^{e^8 x}\right)^2 x}}",1,"E^((-2 + x + x^2)^2/((-1 + E^(E^8*x))^2*x))","A",1
2913,1,28,23,0.1953361,"\int \frac{(50+(100+100 x) \log (2)+(100+100 x) \log (x)) \log \left(4 e^{2 x} x^2 \log (2)+4 e^{2 x} x^2 \log (x)\right)+(-50 \log (2)-50 \log (x)) \log ^2\left(4 e^{2 x} x^2 \log (2)+4 e^{2 x} x^2 \log (x)\right)}{x^3 \log (2)+x^3 \log (x)} \, dx","Integrate[((50 + (100 + 100*x)*Log[2] + (100 + 100*x)*Log[x])*Log[4*E^(2*x)*x^2*Log[2] + 4*E^(2*x)*x^2*Log[x]] + (-50*Log[2] - 50*Log[x])*Log[4*E^(2*x)*x^2*Log[2] + 4*E^(2*x)*x^2*Log[x]]^2)/(x^3*Log[2] + x^3*Log[x]),x]","50 \left(\frac{\log ^2\left(4 e^{2 x} x^2 \log (2 x)\right)}{2 x^2}-2\right)","\frac{25 \log ^2\left(4 e^{2 x} x^2 (\log (x)+\log (2))\right)}{x^2}",1,"50*(-2 + Log[4*E^(2*x)*x^2*Log[2*x]]^2/(2*x^2))","A",1
2914,1,23,21,0.0305289,"\int \frac{18 x-216 x^2+\left(72 x-288 x^2\right) \log \left(-x+4 x^2\right)}{-1+4 x} \, dx","Integrate[(18*x - 216*x^2 + (72*x - 288*x^2)*Log[-x + 4*x^2])/(-1 + 4*x),x]","-18 \left(2 x^2 \log (x (4 x-1))-\frac{x^2}{2}\right)","9 x^2 \left(1-4 \log \left(4 x^2-x\right)\right)+2",1,"-18*(-1/2*x^2 + 2*x^2*Log[x*(-1 + 4*x)])","A",1
2915,1,23,23,0.6582507,"\int \frac{-10 \log (5 x)+\left(-5 x-10 x^2 \log (5 x)\right) \log \left(x^2\right)-5 \log \left(x^2\right) \log \left(e^{x^2} \log \left(x^2\right)\right)}{\left(4 x+4 x^2+x^3\right) \log \left(x^2\right)+\left(4 x+2 x^2\right) \log (5 x) \log \left(x^2\right) \log \left(e^{x^2} \log \left(x^2\right)\right)+x \log ^2(5 x) \log \left(x^2\right) \log ^2\left(e^{x^2} \log \left(x^2\right)\right)} \, dx","Integrate[(-10*Log[5*x] + (-5*x - 10*x^2*Log[5*x])*Log[x^2] - 5*Log[x^2]*Log[E^x^2*Log[x^2]])/((4*x + 4*x^2 + x^3)*Log[x^2] + (4*x + 2*x^2)*Log[5*x]*Log[x^2]*Log[E^x^2*Log[x^2]] + x*Log[5*x]^2*Log[x^2]*Log[E^x^2*Log[x^2]]^2),x]","\frac{5}{\log (5 x) \log \left(e^{x^2} \log \left(x^2\right)\right)+x+2}","\frac{5}{\log (5 x) \log \left(e^{x^2} \log \left(x^2\right)\right)+x+2}",1,"5/(2 + x + Log[5*x]*Log[E^x^2*Log[x^2]])","A",1
2916,1,25,27,0.0289179,"\int \frac{e^{-x} \left(e^x \left(-4-4 x-x^2\right)+e \left(-2+2 x+x^2\right)\right)}{4+4 x+x^2} \, dx","Integrate[(E^x*(-4 - 4*x - x^2) + E*(-2 + 2*x + x^2))/(E^x*(4 + 4*x + x^2)),x]","-\frac{e^{1-x} \left(x^2+2 x\right)}{(x+2)^2}-x","-\frac{e^{1-x} x}{x+2}-x-e^4-3+\log (3)",1,"-x - (E^(1 - x)*(2*x + x^2))/(2 + x)^2","A",1
2917,1,26,18,0.1876079,"\int \frac{-1-10 e^{\frac{x^3}{3}} x^2+2 e^{\frac{2 x^3}{3}} x^2}{25-10 e^{\frac{x^3}{3}}+e^{\frac{2 x^3}{3}}-x} \, dx","Integrate[(-1 - 10*E^(x^3/3)*x^2 + 2*E^((2*x^3)/3)*x^2)/(25 - 10*E^(x^3/3) + E^((2*x^3)/3) - x),x]","\log \left(-10 e^{\frac{x^3}{3}}+e^{\frac{2 x^3}{3}}-x+25\right)","\log \left(\left(e^{\frac{x^3}{3}}-5\right)^2-x\right)",1,"Log[25 - 10*E^(x^3/3) + E^((2*x^3)/3) - x]","A",1
2918,1,79,35,0.1335437,"\int \frac{-50 x^4+\left(-450+300 x-50 x^2-150 x^4\right) \log (x)+\left(450-150 x-150 x^4\right) \log ^2(x)+\left(450-150 x-50 x^4\right) \log ^3(x)}{-x^3+25 x^5+\left(-3 x^3+75 x^5\right) \log (x)+\left(225 x-150 x^2+22 x^3+75 x^5\right) \log ^2(x)+\left(225 x-150 x^2+24 x^3+25 x^5\right) \log ^3(x)} \, dx","Integrate[(-50*x^4 + (-450 + 300*x - 50*x^2 - 150*x^4)*Log[x] + (450 - 150*x - 150*x^4)*Log[x]^2 + (450 - 150*x - 50*x^4)*Log[x]^3)/(-x^3 + 25*x^5 + (-3*x^3 + 75*x^5)*Log[x] + (225*x - 150*x^2 + 22*x^3 + 75*x^5)*Log[x]^2 + (225*x - 150*x^2 + 24*x^3 + 25*x^5)*Log[x]^3),x]","-50 \left(\frac{1}{50} \log \left(25 x^4+25 x^4 \log ^2(x)+50 x^4 \log (x)-x^2+24 x^2 \log ^2(x)-2 x^2 \log (x)-150 x \log ^2(x)+225 \log ^2(x)\right)-\frac{\log (x)}{25}-\frac{1}{25} \log (\log (x)+1)\right)","\log \left(\frac{5 \log (5)}{5 \left(x^2+\frac{(3-x)^2}{\left(x+\frac{x}{\log (x)}\right)^2}\right)-\frac{1}{5}}\right)",1,"-50*(-1/25*Log[x] - Log[1 + Log[x]]/25 + Log[-x^2 + 25*x^4 - 2*x^2*Log[x] + 50*x^4*Log[x] + 225*Log[x]^2 - 150*x*Log[x]^2 + 24*x^2*Log[x]^2 + 25*x^4*Log[x]^2]/50)","B",1
2919,1,39,23,0.0269505,"\int \frac{1}{3} \left(18 e^{2 x}+18 x+12 x^2+4 x^3+e^x \left(117+56 x+10 x^2\right)\right) \, dx","Integrate[(18*E^(2*x) + 18*x + 12*x^2 + 4*x^3 + E^x*(117 + 56*x + 10*x^2))/3,x]","\frac{1}{3} \left(x^4+4 x^3+9 x^2+e^x \left(10 x^2+36 x+81\right)+9 e^{2 x}\right)","3 \left(\frac{x^2}{9}+e^x\right) \left((x+2)^2+e^x+5\right)",1,"(9*E^(2*x) + 9*x^2 + 4*x^3 + x^4 + E^x*(81 + 36*x + 10*x^2))/3","A",1
2920,1,16,28,0.0085717,"\int \frac{-15-3 x-x^2-3 \log ^2(4)}{5 x^2+x^3+x^2 \log ^2(4)} \, dx","Integrate[(-15 - 3*x - x^2 - 3*Log[4]^2)/(5*x^2 + x^3 + x^2*Log[4]^2),x]","\frac{3}{x}-\log \left(x+5+\log ^2(4)\right)","\frac{3}{x}-\log \left(\frac{1}{5} \left(x+\log ^2(4)\right)+1\right)+\frac{1875}{4}-\log (2)",1,"3/x - Log[5 + x + Log[4]^2]","A",1
2921,1,18,21,0.0098413,"\int \left(2-6 x+e^{2 x} \left(2 x+2 x^2\right)\right) \, dx","Integrate[2 - 6*x + E^(2*x)*(2*x + 2*x^2),x]","e^{2 x} x^2-3 x^2+2 x","x \left(x^2+\left(e^{2 x}-x\right) x-3 x+2\right)",1,"2*x - 3*x^2 + E^(2*x)*x^2","A",1
2922,1,31,30,0.0404274,"\int \frac{-240+380 x-160 x^2+20 x^3+\left(-7 x^2+6 x^3-x^4\right) \log ^2(2)+\left(-60+80 x-20 x^2\right) \log \left(3-4 x+x^2\right)}{\left(12 x^2-19 x^3+8 x^4-x^5\right) \log ^2(2)+\left(3 x^2-4 x^3+x^4\right) \log ^2(2) \log \left(3-4 x+x^2\right)} \, dx","Integrate[(-240 + 380*x - 160*x^2 + 20*x^3 + (-7*x^2 + 6*x^3 - x^4)*Log[2]^2 + (-60 + 80*x - 20*x^2)*Log[3 - 4*x + x^2])/((12*x^2 - 19*x^3 + 8*x^4 - x^5)*Log[2]^2 + (3*x^2 - 4*x^3 + x^4)*Log[2]^2*Log[3 - 4*x + x^2]),x]","\frac{\log ^2(2) \log \left(\log \left(x^2-4 x+3\right)-x+4\right)+\frac{20}{x}}{\log ^2(2)}","\frac{20}{x \log ^2(2)}+\log (-x+\log (-((3-x) x)-x+3)+4)",1,"(20/x + Log[2]^2*Log[4 - x + Log[3 - 4*x + x^2]])/Log[2]^2","A",1
2923,1,15,15,0.1115684,"\int \frac{10-20 \log (x)+5 \log (x) \log \left(\frac{5 x^2}{\log (x)}\right)}{\log (x) \log ^3\left(\frac{5 x^2}{\log (x)}\right)} \, dx","Integrate[(10 - 20*Log[x] + 5*Log[x]*Log[(5*x^2)/Log[x]])/(Log[x]*Log[(5*x^2)/Log[x]]^3),x]","\frac{5 x}{\log ^2\left(\frac{5 x^2}{\log (x)}\right)}","\frac{5 x}{\log ^2\left(\frac{5 x^2}{\log (x)}\right)}",1,"(5*x)/Log[(5*x^2)/Log[x]]^2","A",1
2924,1,30,30,1.7881296,"\int \frac{e^{\frac{e^{4-x} x+x \log (x)}{\log (x)}} \left(-e^{4-x}+e^{4-x} (1-x) \log (x)+\log ^2(x)\right)}{e^{\frac{e^{4-x} x+x \log (x)}{\log (x)}} \log ^2(x)+\left(-4+4 e^{10}-e^{20}\right) \log ^2(x)} \, dx","Integrate[(E^((E^(4 - x)*x + x*Log[x])/Log[x])*(-E^(4 - x) + E^(4 - x)*(1 - x)*Log[x] + Log[x]^2))/(E^((E^(4 - x)*x + x*Log[x])/Log[x])*Log[x]^2 + (-4 + 4*E^10 - E^20)*Log[x]^2),x]","\log \left(e^{x+\frac{e^{4-x} x}{\log (x)}}-4+4 e^{10}-e^{20}\right)","\log \left(\left(2-e^{10}\right)^2-e^{x+\frac{e^{4-x} x}{\log (x)}}\right)",1,"Log[-4 + 4*E^10 - E^20 + E^(x + (E^(4 - x)*x)/Log[x])]","A",1
2925,1,51,26,0.5957236,"\int \frac{-400+e^{\frac{2 \left(e^{1+x}+2 x+e^x x\right)}{2+e^x}} \left(8+8 e^x+2 e^{2 x}+4 e^{1+x}\right)+32 x+e^{2 x} (-100+8 x)+e^x (-400+32 x)+e^{\frac{e^{1+x}+2 x+e^x x}{2+e^x}} \left(-184+16 x+e^{2 x} (-46+4 x)+e^{1+x} (-100+8 x)+e^x (-184+16 x)\right)}{4+4 e^x+e^{2 x}} \, dx","Integrate[(-400 + E^((2*(E^(1 + x) + 2*x + E^x*x))/(2 + E^x))*(8 + 8*E^x + 2*E^(2*x) + 4*E^(1 + x)) + 32*x + E^(2*x)*(-100 + 8*x) + E^x*(-400 + 32*x) + E^((E^(1 + x) + 2*x + E^x*x)/(2 + E^x))*(-184 + 16*x + E^(2*x)*(-46 + 4*x) + E^(1 + x)*(-100 + 8*x) + E^x*(-184 + 16*x)))/(4 + 4*E^x + E^(2*x)),x]","2 \left(2 (x-25) x+\frac{1}{2} e^{2 \left(x-\frac{2 e}{e^x+2}+e\right)}+e^{x-\frac{2 e}{e^x+2}+e} (2 x-25)\right)","\left(-2 x-e^{x+\frac{e^{x+1}}{e^x+2}}+25\right)^2",1,"2*(E^(2*(E - (2*E)/(2 + E^x) + x))/2 + 2*(-25 + x)*x + E^(E - (2*E)/(2 + E^x) + x)*(-25 + 2*x))","A",1
2926,1,20,17,0.0048027,"\int \frac{-2+10 x-5 x^2}{-10 x+5 x^2} \, dx","Integrate[(-2 + 10*x - 5*x^2)/(-10*x + 5*x^2),x]","-x-\frac{1}{5} \log (2-x)+\frac{\log (x)}{5}","\frac{1}{5} \log \left(\frac{100 x}{x-2}\right)-x",1,"-x - Log[2 - x]/5 + Log[x]/5","A",1
2927,1,17,16,0.0346739,"\int \frac{-5-15 x-2 x \log (x)}{50 x-40 x^2+8 x^3} \, dx","Integrate[(-5 - 15*x - 2*x*Log[x])/(50*x - 40*x^2 + 8*x^3),x]","-\frac{2 \log (x)+17}{2 (10-4 x)}","\frac{x+\log (x)+6}{4 \left(x-\frac{5}{2}\right)}",1,"-1/2*(17 + 2*Log[x])/(10 - 4*x)","A",1
2928,1,22,22,0.2686569,"\int \frac{e^{-7 x/3} \left(\left(192+e^{7 x/3} \left(-36-12 x+12 x^2\right)\right) \log ^3(x)+\left(-112 x+e^{7 x/3} \left(-3 x+6 x^2\right)\right) \log ^4(x)\right)}{3 x} \, dx","Integrate[((192 + E^((7*x)/3)*(-36 - 12*x + 12*x^2))*Log[x]^3 + (-112*x + E^((7*x)/3)*(-3*x + 6*x^2))*Log[x]^4)/(3*E^((7*x)/3)*x),x]","\left(x^2-x+16 e^{-7 x/3}-3\right) \log ^4(x)","\left(x^2-x+16 e^{-7 x/3}-3\right) \log ^4(x)",1,"(-3 + 16/E^((7*x)/3) - x + x^2)*Log[x]^4","A",1
2929,1,12,17,0.0093523,"\int \frac{-1+e^x (1-x)}{81 x^2} \, dx","Integrate[(-1 + E^x*(1 - x))/(81*x^2),x]","-\frac{e^x-1}{81 x}","\frac{-2 x-e^x+1}{81 x}",1,"-1/81*(-1 + E^x)/x","A",1
2930,1,68,34,0.1670247,"\int \frac{85+50 e^4-90 x+150 x^2+25 \log (3)+e^x \left(158-84 x+230 x^2+64 x^3+e^4 (100+24 x)+(50+12 x) \log (3)\right)+e^{2 x} \left(48-8 x+83 x^2+46 x^3+6 x^4+e^4 \left(32+16 x+2 x^2\right)+\left(16+8 x+x^2\right) \log (3)\right)}{25+e^x (40+10 x)+e^{2 x} \left(16+8 x+x^2\right)} \, dx","Integrate[(85 + 50*E^4 - 90*x + 150*x^2 + 25*Log[3] + E^x*(158 - 84*x + 230*x^2 + 64*x^3 + E^4*(100 + 24*x) + (50 + 12*x)*Log[3]) + E^(2*x)*(48 - 8*x + 83*x^2 + 46*x^3 + 6*x^4 + E^4*(32 + 16*x + 2*x^2) + (16 + 8*x + x^2)*Log[3]))/(25 + E^x*(40 + 10*x) + E^(2*x)*(16 + 8*x + x^2)),x]","2 x^3-x^2-\frac{4 x^3+18 x^2+4 e^4 (x+5)+x (\log (9)-4)+30+\log (59049)}{(x+5) \left(e^x (x+4)+5\right)}+x \left(3+2 e^4+\log (3)\right)","\left(\frac{2}{e^x (x+4)+5}-x\right) \left(-2 \left(x^2+e^4\right)+x-3-\log (3)\right)",1,"-x^2 + 2*x^3 + x*(3 + 2*E^4 + Log[3]) - (30 + 18*x^2 + 4*x^3 + 4*E^4*(5 + x) + x*(-4 + Log[9]) + Log[59049])/((5 + x)*(5 + E^x*(4 + x)))","A",1
2931,1,19,24,0.0039732,"\int \frac{1}{3} \left(7-90 e^{5/3}-90 x\right) \, dx","Integrate[(7 - 90*E^(5/3) - 90*x)/3,x]","-15 x^2-30 e^{5/3} x+\frac{7 x}{3}","2 x+\frac{1}{3} \left(x-45 \left(x+e^{5/3}\right)^2\right)+\frac{2}{3}",1,"(7*x)/3 - 30*E^(5/3)*x - 15*x^2","A",1
2932,1,23,26,0.1553549,"\int \frac{-4+x^2-2 x^3 \log (x)+\left(4+x^2\right) \log (x) \log (4 \log (x))}{\left(4 x^2-x^4\right) \log (x)+\left(-4 x+x^3\right) \log (x) \log (4 \log (x))} \, dx","Integrate[(-4 + x^2 - 2*x^3*Log[x] + (4 + x^2)*Log[x]*Log[4*Log[x]])/((4*x^2 - x^4)*Log[x] + (-4*x + x^3)*Log[x]*Log[4*Log[x]]),x]","\log \left(4-x^2\right)-\log (x)+\log (x-\log (4 \log (x)))","\log \left(\frac{7 \left(4-x^2\right) \log (4) (\log (4 \log (x))-x)}{3 x}\right)",1,"-Log[x] + Log[4 - x^2] + Log[x - Log[4*Log[x]]]","A",1
2933,1,25,22,0.0997753,"\int \frac{10 x+160 x^2+3 x^3+\left(150 x+3 x^2\right) \log (x)+\left(10 x^2+10 x \log (x)\right) \log \left(x^2+2 x \log (x)+\log ^2(x)\right)}{10 x+10 \log (x)} \, dx","Integrate[(10*x + 160*x^2 + 3*x^3 + (150*x + 3*x^2)*Log[x] + (10*x^2 + 10*x*Log[x])*Log[x^2 + 2*x*Log[x] + Log[x]^2])/(10*x + 10*Log[x]),x]","\frac{1}{10} \left(x^3+75 x^2+5 x^2 \log \left((x+\log (x))^2\right)\right)","x^2 \left(\frac{1}{10} \left(x+5 \log \left((x+\log (x))^2\right)+5\right)+7\right)",1,"(75*x^2 + x^3 + 5*x^2*Log[(x + Log[x])^2])/10","A",1
2934,1,20,21,0.0174705,"\int \frac{-5 x^3+e^{4/x} \left(100+65 x+14 x^2+x^3\right)}{25 x^3+10 x^4+x^5} \, dx","Integrate[(-5*x^3 + E^(4/x)*(100 + 65*x + 14*x^2 + x^3))/(25*x^3 + 10*x^4 + x^5),x]","\frac{5}{x+5}-\frac{e^{4/x}}{x}","-\frac{x}{x+5}-\frac{e^{4/x}}{x}",1,"-(E^(4/x)/x) + 5/(5 + x)","A",1
2935,1,35,26,0.1397847,"\int \frac{e^x \left(-7-e^{2-2 x}+6 e^{1-x}+\log (4)\right)+e^x \left(-7-e^{2-2 x}+6 e^{1-x}+\log (4)\right) \log (x)+e^x \left(-7 x+e^{2-2 x} x+x \log (4)\right) \log (x) \log (x \log (x))}{x \log (x)} \, dx","Integrate[(E^x*(-7 - E^(2 - 2*x) + 6*E^(1 - x) + Log[4]) + E^x*(-7 - E^(2 - 2*x) + 6*E^(1 - x) + Log[4])*Log[x] + E^x*(-7*x + E^(2 - 2*x)*x + x*Log[4])*Log[x]*Log[x*Log[x]])/(x*Log[x]),x]","6 e \log (x)+6 e \log (\log (x))-e^x \left(e^{2-2 x}+7-\log (4)\right) \log (x \log (x))","e^x \left(-\left(e^{1-x}-3\right)^2+2+\log (4)\right) \log (x \log (x))",1,"6*E*Log[x] + 6*E*Log[Log[x]] - E^x*(7 + E^(2 - 2*x) - Log[4])*Log[x*Log[x]]","A",1
2936,1,33,32,0.0497213,"\int \frac{-54 x^4+9 x^5+12 x^6-3 x^7+\left(72 x^2-36 x^3+4 x^4\right) \log ^2(3)+(-18+7 x) \log ^4(3)+\left(18 x^5-2 x^7+\left(-18 x^3+8 x^4\right) \log ^2(3)\right) \log \left(x^2\right)+x^7 \log ^2\left(x^2\right)}{9 x^7-6 x^8+x^9} \, dx","Integrate[(-54*x^4 + 9*x^5 + 12*x^6 - 3*x^7 + (72*x^2 - 36*x^3 + 4*x^4)*Log[3]^2 + (-18 + 7*x)*Log[3]^4 + (18*x^5 - 2*x^7 + (-18*x^3 + 8*x^4)*Log[3]^2)*Log[x^2] + x^7*Log[x^2]^2)/(9*x^7 - 6*x^8 + x^9),x]","-\frac{\left(x^3-3 x^2+x^3 \log \left(x^2\right)+\log ^2(3)\right)^2}{(x-3) x^6}","\frac{\left(\frac{\frac{\log ^2(3)}{x^2}+x-3}{x}+\log \left(x^2\right)\right)^2}{3-x}+3",1,"-((-3*x^2 + x^3 + Log[3]^2 + x^3*Log[x^2])^2/((-3 + x)*x^6))","A",1
2937,1,30,35,0.3955243,"\int \frac{\left(1-x-x^2\right) \log \left(4 e^{e^x}\right)+\log ^2\left(4 e^{e^x}\right) \left(-2 x^2+4 x^3-2 x^4+\left(-2 x+4 x^2-2 x^3\right) \log \left(-x+x^2\right)\right)+\left(e^x \left(-x^2+x^3\right)+e^x \left(-x+x^2\right) \log \left(-x+x^2\right)\right) \log \left(x+\log \left(-x+x^2\right)\right)}{\log ^2\left(4 e^{e^x}\right) \left(-x^2+x^3+\left(-x+x^2\right) \log \left(-x+x^2\right)\right)} \, dx","Integrate[((1 - x - x^2)*Log[4*E^E^x] + Log[4*E^E^x]^2*(-2*x^2 + 4*x^3 - 2*x^4 + (-2*x + 4*x^2 - 2*x^3)*Log[-x + x^2]) + (E^x*(-x^2 + x^3) + E^x*(-x + x^2)*Log[-x + x^2])*Log[x + Log[-x + x^2]])/(Log[4*E^E^x]^2*(-x^2 + x^3 + (-x + x^2)*Log[-x + x^2])),x]","-x^2+2 x-\frac{\log (x+\log ((x-1) x))}{\log \left(4 e^{e^x}\right)}","-x^2+2 x-\frac{\log (x+\log (x-(2-x) x))}{\log \left(4 e^{e^x}\right)}",1,"2*x - x^2 - Log[x + Log[(-1 + x)*x]]/Log[4*E^E^x]","A",1
2938,1,35,24,0.0300181,"\int \frac{-4-6 x-3 x^3-6 x^4-3 x^5+\left(-8-12 x^3-12 x^4\right) \log (\log (5))-12 x^3 \log ^2(\log (5))}{3 x^3+6 x^4+3 x^5+\left(12 x^3+12 x^4\right) \log (\log (5))+12 x^3 \log ^2(\log (5))} \, dx","Integrate[(-4 - 6*x - 3*x^3 - 6*x^4 - 3*x^5 + (-8 - 12*x^3 - 12*x^4)*Log[Log[5]] - 12*x^3*Log[Log[5]]^2)/(3*x^3 + 6*x^4 + 3*x^5 + (12*x^3 + 12*x^4)*Log[Log[5]] + 12*x^3*Log[Log[5]]^2),x]","-\frac{3 x^4+x^3 (3+6 \log (\log (5)))-2}{3 x^2 (x+1+2 \log (\log (5)))}","\frac{1}{3 x^2 \left(\frac{x+1}{2}+\log (\log (5))\right)}-x",1,"-1/3*(-2 + 3*x^4 + x^3*(3 + 6*Log[Log[5]]))/(x^2*(1 + x + 2*Log[Log[5]]))","A",1
2939,1,41,30,0.1812582,"\int \frac{-25 x^3-x^4 \log \left(\frac{4}{x}\right)+\left(-2450 x^3+x^4-199 x^4 \log \left(\frac{4}{x}\right)-4 x^5 \log ^2\left(\frac{4}{x}\right)\right) \log (x)+\left(10000 x^3+100 x^4+\left(700 x^4+4 x^5\right) \log \left(\frac{4}{x}\right)+12 x^5 \log ^2\left(\frac{4}{x}\right)\right) \log ^2(x)+\left(500000 x^3+60000 x^4 \log \left(\frac{4}{x}\right)+2400 x^5 \log ^2\left(\frac{4}{x}\right)+32 x^6 \log ^3\left(\frac{4}{x}\right)\right) \log ^3(x)}{\left(31250+3750 x \log \left(\frac{4}{x}\right)+150 x^2 \log ^2\left(\frac{4}{x}\right)+2 x^3 \log ^3\left(\frac{4}{x}\right)\right) \log ^3(x)} \, dx","Integrate[(-25*x^3 - x^4*Log[4/x] + (-2450*x^3 + x^4 - 199*x^4*Log[4/x] - 4*x^5*Log[4/x]^2)*Log[x] + (10000*x^3 + 100*x^4 + (700*x^4 + 4*x^5)*Log[4/x] + 12*x^5*Log[4/x]^2)*Log[x]^2 + (500000*x^3 + 60000*x^4*Log[4/x] + 2400*x^5*Log[4/x]^2 + 32*x^6*Log[4/x]^3)*Log[x]^3)/((31250 + 3750*x*Log[4/x] + 150*x^2*Log[4/x]^2 + 2*x^3*Log[4/x]^3)*Log[x]^3),x]","\frac{x^4 \left(4 \left(x \log \left(\frac{4}{x}\right)+25\right) \log (x)+1\right)^2}{4 \left(x \log \left(\frac{4}{x}\right)+25\right)^2 \log ^2(x)}","4 x^2 \left(x+\frac{x}{4 \left(x \log \left(\frac{4}{x}\right)+25\right) \log (x)}\right)^2",1,"(x^4*(1 + 4*(25 + x*Log[4/x])*Log[x])^2)/(4*(25 + x*Log[4/x])^2*Log[x]^2)","A",1
2940,1,24,26,0.1664387,"\int \frac{1+e^{2 x} \left(x+x^2+3 x^3-x^4\right)+\left(-x+x^2+3 x^3-x^4\right) \log (x)+\left(-e^{2 x} x-x \log (x)\right) \log \left(e^{2 x}+\log (x)\right)}{e^{2 x} \left(x^3-x^5\right)+\left(x^3-x^5\right) \log (x)+\left(-e^{2 x} x^2-x^2 \log (x)\right) \log \left(e^{2 x}+\log (x)\right)+\left(e^{2 x} \left(-x^2+x^4\right)+\left(-x^2+x^4\right) \log (x)+\left(e^{2 x} x+x \log (x)\right) \log \left(e^{2 x}+\log (x)\right)\right) \log \left(\frac{1}{2} \left(-x+x^3+\log \left(e^{2 x}+\log (x)\right)\right)\right)} \, dx","Integrate[(1 + E^(2*x)*(x + x^2 + 3*x^3 - x^4) + (-x + x^2 + 3*x^3 - x^4)*Log[x] + (-(E^(2*x)*x) - x*Log[x])*Log[E^(2*x) + Log[x]])/(E^(2*x)*(x^3 - x^5) + (x^3 - x^5)*Log[x] + (-(E^(2*x)*x^2) - x^2*Log[x])*Log[E^(2*x) + Log[x]] + (E^(2*x)*(-x^2 + x^4) + (-x^2 + x^4)*Log[x] + (E^(2*x)*x + x*Log[x])*Log[E^(2*x) + Log[x]])*Log[(-x + x^3 + Log[E^(2*x) + Log[x]])/2]),x]","\log \left(-\log \left(x^3-x+\log \left(e^{2 x}+\log (x)\right)\right)+x+\log (2)\right)","\log \left(x-\log \left(\frac{1}{2} \left(x^3-x+\log \left(e^{2 x}+\log (x)\right)\right)\right)\right)",1,"Log[x + Log[2] - Log[-x + x^3 + Log[E^(2*x) + Log[x]]]]","A",1
2941,1,7,9,0.0000738,"\int e^{20} \log (3) \, dx","Integrate[E^20*Log[3],x]","e^{20} x \log (3)","e^{20} (x+5) \log (3)",1,"E^20*x*Log[3]","A",1
2942,1,25,25,0.0195883,"\int \frac{e^{-x} \left(-20 e^x-1280 x^2+640 x^5-160 x^6+40 x^9-5 x^{10}\right)}{x^2} \, dx","Integrate[(-20*E^x - 1280*x^2 + 640*x^5 - 160*x^6 + 40*x^9 - 5*x^10)/(E^x*x^2),x]","\frac{20}{x}-5 e^{-x} \left(-x^8-32 x^4-256\right)","5 \left(e^{-x} \left(x^4+16\right)^2+\frac{2 x+4}{x}\right)",1,"20/x - (5*(-256 - 32*x^4 - x^8))/E^x","A",1
2943,1,30,24,0.019418,"\int \frac{25 x^2+\left(15+3 x^2\right) \log (5)}{-100 x^2+25 x^3+\left(-15 x-15 x^2+3 x^3\right) \log (5)} \, dx","Integrate[(25*x^2 + (15 + 3*x^2)*Log[5])/(-100*x^2 + 25*x^3 + (-15*x - 15*x^2 + 3*x^3)*Log[5]),x]","\log \left(25 x^2+x^2 \log (125)-100 x-5 x \log (125)-15 \log (5)\right)-\log (x)","\log \left(x-\frac{x+5}{x+\frac{25 x}{3 \log (5)}}-4\right)-3",1,"-Log[x] + Log[-100*x + 25*x^2 - 15*Log[5] - 5*x*Log[125] + x^2*Log[125]]","A",1
2944,1,26,19,0.0187274,"\int \frac{-256+1250 e^{2 x} x^3+1250 x^4+e^x \left(-1250 x^3-1250 x^4\right)}{125 x^3} \, dx","Integrate[(-256 + 1250*E^(2*x)*x^3 + 1250*x^4 + E^x*(-1250*x^3 - 1250*x^4))/(125*x^3),x]","5 x^2+\frac{128}{125 x^2}-10 e^x x+5 e^{2 x}","5 \left(\frac{128}{625 x^2}+\left(e^x-x\right)^2\right)",1,"5*E^(2*x) + 128/(125*x^2) - 10*E^x*x + 5*x^2","A",1
2945,1,37,26,0.6793135,"\int \frac{25 x^3+35 x^4+11 x^5+x^6+\exp \left(\frac{-25-10 x^3+5 x^4+e \left(-10 x^3-2 x^4\right)}{25 x^3+5 x^4}\right) \left(75+20 x+7 x^4\right)}{25 x^4+10 x^5+x^6} \, dx","Integrate[(25*x^3 + 35*x^4 + 11*x^5 + x^6 + E^((-25 - 10*x^3 + 5*x^4 + E*(-10*x^3 - 2*x^4))/(25*x^3 + 5*x^4))*(75 + 20*x + 7*x^4))/(25*x^4 + 10*x^5 + x^6),x]","\exp \left(-\frac{(2 e-5) x^4+10 (1+e) x^3+25}{5 x^3 (x+5)}\right)+x+\log (x)","e^{\frac{-\frac{5}{x^3}+x-2}{x+5}-\frac{2 e}{5}}+x+\log (x)",1,"E^(-1/5*(25 + 10*(1 + E)*x^3 + (-5 + 2*E)*x^4)/(x^3*(5 + x))) + x + Log[x]","A",1
2946,1,52,31,0.1612541,"\int \frac{e^{-\frac{2 e^x}{x}} \left(-1250 x+e^x (-1250+1250 x)+\left(-1250 x+e^x (-2500+2500 x)\right) \log (x)+e^x (-1250+1250 x) \log ^2(x)+e^{\frac{2 e^x}{x}} \left(-200 x+2 x^2-200 x \log (x)\right)+e^{\frac{e^x}{x}} \left(e^x (500-500 x)+1000 x+\left(e^x (1000-1000 x)+1000 x\right) \log (x)+e^x (500-500 x) \log ^2(x)\right)\right)}{x^2} \, dx","Integrate[(-1250*x + E^x*(-1250 + 1250*x) + (-1250*x + E^x*(-2500 + 2500*x))*Log[x] + E^x*(-1250 + 1250*x)*Log[x]^2 + E^((2*E^x)/x)*(-200*x + 2*x^2 - 200*x*Log[x]) + E^(E^x/x)*(E^x*(500 - 500*x) + 1000*x + (E^x*(1000 - 1000*x) + 1000*x)*Log[x] + E^x*(500 - 500*x)*Log[x]^2))/(E^((2*E^x)/x)*x^2),x]","2 \left(x-50 \log ^2(x)-100 \log (x)-\frac{625}{2} e^{-\frac{2 e^x}{x}} (\log (x)+1)^2+250 e^{-\frac{e^x}{x}} (\log (x)+1)^2\right)","2 x-\left(5 e^{-\frac{e^x}{x}}-2\right)^2 (5 \log (x)+5)^2+2",1,"2*(x - 100*Log[x] - 50*Log[x]^2 - (625*(1 + Log[x])^2)/(2*E^((2*E^x)/x)) + (250*(1 + Log[x])^2)/E^(E^x/x))","A",1
2947,1,38,30,0.244105,"\int \frac{8-4 x+4 \log (3)-\log ^2(5)-4 x \log (x)}{\left(-8192 x+12288 x^2-6144 x^3+1024 x^4+\left(-12288 x+12288 x^2-3072 x^3\right) \log (3)+\left(-6144 x+3072 x^2\right) \log ^2(3)-1024 x \log ^3(3)+\left(3072 x-3072 x^2+768 x^3+\left(3072 x-1536 x^2\right) \log (3)+768 x \log ^2(3)\right) \log ^2(5)+\left(-384 x+192 x^2-192 x \log (3)\right) \log ^4(5)+16 x \log ^6(5)\right) \log ^3(x)} \, dx","Integrate[(8 - 4*x + 4*Log[3] - Log[5]^2 - 4*x*Log[x])/((-8192*x + 12288*x^2 - 6144*x^3 + 1024*x^4 + (-12288*x + 12288*x^2 - 3072*x^3)*Log[3] + (-6144*x + 3072*x^2)*Log[3]^2 - 1024*x*Log[3]^3 + (3072*x - 3072*x^2 + 768*x^3 + (3072*x - 1536*x^2)*Log[3] + 768*x*Log[3]^2)*Log[5]^2 + (-384*x + 192*x^2 - 192*x*Log[3])*Log[5]^4 + 16*x*Log[5]^6)*Log[x]^3),x]","\frac{\left(-4 x+8-\log ^2(5)+\log (81)\right)^2}{32 \left(4 x-8+\log ^2(5)-4 \log (3)\right)^4 \log ^2(x)}","\frac{1}{4} \left(\frac{1}{8 \left(4 (x-2-\log (3))+\log ^2(5)\right)^2 \log ^2(x)}+3\right)",1,"(8 - 4*x - Log[5]^2 + Log[81])^2/(32*(-8 + 4*x - 4*Log[3] + Log[5]^2)^4*Log[x]^2)","A",1
2948,1,36,26,0.1250405,"\int \frac{16 x^3+24 x^4+12 x^5+2 x^6+e^{\frac{2-x}{2 x+x^2}} \left(-4-4 x+5 x^2+4 x^3+x^4\right)}{8 x^4+8 x^5+2 x^6+e^{\frac{2-x}{2 x+x^2}} \left(4 x^2+4 x^3+x^4\right)} \, dx","Integrate[(16*x^3 + 24*x^4 + 12*x^5 + 2*x^6 + E^((2 - x)/(2*x + x^2))*(-4 - 4*x + 5*x^2 + 4*x^3 + x^4))/(8*x^4 + 8*x^5 + 2*x^6 + E^((2 - x)/(2*x + x^2))*(4*x^2 + 4*x^3 + x^4)),x]","\log \left(2 e^{\frac{1}{x+2}} x^2+e^{\frac{1}{x}-\frac{1}{x+2}}\right)+x-\frac{1}{x+2}","\log \left(2 x^2+e^{\frac{2-x}{x (x+2)}}\right)+x-3",1,"x - (2 + x)^(-1) + Log[E^(x^(-1) - (2 + x)^(-1)) + 2*E^(2 + x)^(-1)*x^2]","A",1
2949,1,81,24,0.0120495,"\int \frac{1}{25} \left(-4920+17048 x-14760 x^2+3600 x^3+e^{10} \left(800 x-960 x^2+256 x^3\right)+e^5 \left(-1200+7520 x-7536 x^2+1920 x^3\right)\right) \, dx","Integrate[(-4920 + 17048*x - 14760*x^2 + 3600*x^3 + E^10*(800*x - 960*x^2 + 256*x^3) + E^5*(-1200 + 7520*x - 7536*x^2 + 1920*x^3))/25,x]","\frac{8}{25} \left(8 e^{10} x^4+60 e^5 x^4+\frac{225 x^4}{2}-40 e^{10} x^3-314 e^5 x^3-615 x^3+50 e^{10} x^2+470 e^5 x^2+\frac{2131 x^2}{2}-150 e^5 x-615 x\right)","\left(\left(\frac{1}{x}-\frac{2}{5}\right) \left(-4 \left(4+e^5\right) x+x+6\right) x+x\right)^2",1,"(8*(-615*x - 150*E^5*x + (2131*x^2)/2 + 470*E^5*x^2 + 50*E^10*x^2 - 615*x^3 - 314*E^5*x^3 - 40*E^10*x^3 + (225*x^4)/2 + 60*E^5*x^4 + 8*E^10*x^4))/25","B",1
2950,1,10,11,0.0250939,"\int e^{65-16 x+x^2} (-16+2 x) \, dx","Integrate[E^(65 - 16*x + x^2)*(-16 + 2*x),x]","e^{x^2-16 x+65}","e^{(8-x)^2+1}",1,"E^(65 - 16*x + x^2)","A",1
2951,1,32,34,0.0545319,"\int \frac{75-150 x+690 x^2+294 x^3+30 x^4+\left(150 x+60 x^2+6 x^3\right) \log (x)+\left(150 x+60 x^2+6 x^3\right) \log ^2(x)}{125+50 x+5 x^2} \, dx","Integrate[(75 - 150*x + 690*x^2 + 294*x^3 + 30*x^4 + (150*x + 60*x^2 + 6*x^3)*Log[x] + (150*x + 60*x^2 + 6*x^3)*Log[x]^2)/(125 + 50*x + 5*x^2),x]","\frac{3}{5} \left(\frac{10 x^3}{3}-x^2+x^2 \log ^2(x)-\frac{25}{x+5}\right)","x \left(x^2+x \left(x+\frac{3 \left(-x+\frac{5}{x+5}+x \log ^2(x)\right)}{5 x}\right)\right)",1,"(3*(-x^2 + (10*x^3)/3 - 25/(5 + x) + x^2*Log[x]^2))/5","A",1
2952,1,10,16,0.0004927,"\int -\frac{e^3 (1-80 x)}{16 x \left(-x+80 x^2\right)} \, dx","Integrate[-1/16*(E^3*(1 - 80*x))/(x*(-x + 80*x^2)),x]","-\frac{e^3}{16 x}","2-e^3 \left(\frac{1}{16 x}-5\right)",1,"-1/16*E^3/x","A",1
2953,1,53,21,1.728544,"\int \frac{e^{16+2 x} x+8 e^{16} x^2+e^{4 e^{-2 x}} \left(-4 e^{2 x}+2 e^{2 x} \log (x)\right)}{e^{16+2 x} x^2+e^{4 e^{-2 x}} \left(4 e^{2 x} x-4 e^{2 x} x \log (x)+e^{2 x} x \log ^2(x)\right)} \, dx","Integrate[(E^(16 + 2*x)*x + 8*E^16*x^2 + E^(4/E^(2*x))*(-4*E^(2*x) + 2*E^(2*x)*Log[x]))/(E^(16 + 2*x)*x^2 + E^(4/E^(2*x))*(4*E^(2*x)*x - 4*E^(2*x)*x*Log[x] + E^(2*x)*x*Log[x]^2)),x]","\log \left(4 e^{4 e^{-2 x}}+e^{16} x+e^{4 e^{-2 x}} \log ^2(x)-4 e^{4 e^{-2 x}} \log (x)\right)-4 e^{-2 x}","\log \left(e^{16-4 e^{-2 x}} x+(\log (x)-2)^2\right)",1,"-4/E^(2*x) + Log[4*E^(4/E^(2*x)) + E^16*x - 4*E^(4/E^(2*x))*Log[x] + E^(4/E^(2*x))*Log[x]^2]","B",1
2954,1,34,33,0.2032569,"\int \frac{-5 x-7 x^2-4 x^3+e^5 \left(-5-2 x-2 x^2\right)+e^x \left(-x-x^2-x^3+e^5 \left(-1-x^2\right)\right)+\left(-e^5-x-x^2\right) \log (5)+\left(10 x+6 x^2+e^5 (5+4 x)+e^x \left(2 x+x^2+e^5 (1+x)\right)+\left(e^5+2 x\right) \log (5)\right) \log (x)}{e^{2 x} \left(e^{10} x^2+2 e^5 x^3+x^4\right) \log (5)+\left(25 x^4+20 x^5+4 x^6+e^{10} \left(25 x^2+20 x^3+4 x^4\right)+e^5 \left(50 x^3+40 x^4+8 x^5\right)\right) \log (5)+\left(10 x^4+4 x^5+e^{10} \left(10 x^2+4 x^3\right)+e^5 \left(20 x^3+8 x^4\right)\right) \log ^2(5)+\left(e^{10} x^2+2 e^5 x^3+x^4\right) \log ^3(5)+e^x \left(\left(10 x^4+4 x^5+e^{10} \left(10 x^2+4 x^3\right)+e^5 \left(20 x^3+8 x^4\right)\right) \log (5)+\left(2 e^{10} x^2+4 e^5 x^3+2 x^4\right) \log ^2(5)\right)} \, dx","Integrate[(-5*x - 7*x^2 - 4*x^3 + E^5*(-5 - 2*x - 2*x^2) + E^x*(-x - x^2 - x^3 + E^5*(-1 - x^2)) + (-E^5 - x - x^2)*Log[5] + (10*x + 6*x^2 + E^5*(5 + 4*x) + E^x*(2*x + x^2 + E^5*(1 + x)) + (E^5 + 2*x)*Log[5])*Log[x])/(E^(2*x)*(E^10*x^2 + 2*E^5*x^3 + x^4)*Log[5] + (25*x^4 + 20*x^5 + 4*x^6 + E^10*(25*x^2 + 20*x^3 + 4*x^4) + E^5*(50*x^3 + 40*x^4 + 8*x^5))*Log[5] + (10*x^4 + 4*x^5 + E^10*(10*x^2 + 4*x^3) + E^5*(20*x^3 + 8*x^4))*Log[5]^2 + (E^10*x^2 + 2*E^5*x^3 + x^4)*Log[5]^3 + E^x*((10*x^4 + 4*x^5 + E^10*(10*x^2 + 4*x^3) + E^5*(20*x^3 + 8*x^4))*Log[5] + (2*E^10*x^2 + 4*E^5*x^3 + 2*x^4)*Log[5]^2)),x]","-\frac{\log (x)-x}{x \left(x+e^5\right) \log (5) \left(2 x+e^x+5+\log (5)\right)}","\frac{x-\log (x)}{x \left(x+e^5\right) \log (5) \left(2 x+e^x+5+\log (5)\right)}",1,"-((-x + Log[x])/(x*(E^5 + x)*Log[5]*(5 + E^x + 2*x + Log[5])))","A",1
2955,1,137,30,2.3849658,"\int \frac{\exp \left(\frac{6561+5832 x^2-2916 x^3+1944 x^4-1944 x^5+774 x^6-432 x^7+232 x^8+e^4 x^8+e^5 x^8-68 x^9+24 x^{10}-8 x^{11}+x^{12}+e^2 \left(162 x^4+72 x^6-36 x^7+8 x^8-8 x^9+2 x^{10}\right)+\left(-2916 x^2-1944 x^4+972 x^5-432 x^6+432 x^7-140 x^8+48 x^9-24 x^{10}+4 x^{11}+e^2 \left(-36 x^6-8 x^8+4 x^9\right)\right) \log (x)+\left(486 x^4+216 x^6-108 x^7+24 x^8+2 e^2 x^8-24 x^9+6 x^{10}\right) \log ^2(x)+\left(-36 x^6-8 x^8+4 x^9\right) \log ^3(x)+x^8 \log ^4(x)}{x^8}\right) \left(-52488-37908 x^2+14580 x^3-9720 x^4+6804 x^5-1980 x^6+864 x^7-140 x^8-20 x^9+24 x^{10}-20 x^{11}+4 x^{12}+e^2 \left(-648 x^4-180 x^6+36 x^7-8 x^8-4 x^9+4 x^{10}\right)+\left(17496 x^2+8748 x^4-2916 x^5+1296 x^6-648 x^7+48 x^8-36 x^{10}+12 x^{11}+e^2 \left(72 x^6+4 x^8+4 x^9\right)\right) \log (x)+\left(-1944 x^4-540 x^6+108 x^7-24 x^8-12 x^9+12 x^{10}\right) \log ^2(x)+\left(72 x^6+4 x^8+4 x^9\right) \log ^3(x)\right)}{x^9} \, dx","Integrate[(E^((6561 + 5832*x^2 - 2916*x^3 + 1944*x^4 - 1944*x^5 + 774*x^6 - 432*x^7 + 232*x^8 + E^4*x^8 + E^5*x^8 - 68*x^9 + 24*x^10 - 8*x^11 + x^12 + E^2*(162*x^4 + 72*x^6 - 36*x^7 + 8*x^8 - 8*x^9 + 2*x^10) + (-2916*x^2 - 1944*x^4 + 972*x^5 - 432*x^6 + 432*x^7 - 140*x^8 + 48*x^9 - 24*x^10 + 4*x^11 + E^2*(-36*x^6 - 8*x^8 + 4*x^9))*Log[x] + (486*x^4 + 216*x^6 - 108*x^7 + 24*x^8 + 2*E^2*x^8 - 24*x^9 + 6*x^10)*Log[x]^2 + (-36*x^6 - 8*x^8 + 4*x^9)*Log[x]^3 + x^8*Log[x]^4)/x^8)*(-52488 - 37908*x^2 + 14580*x^3 - 9720*x^4 + 6804*x^5 - 1980*x^6 + 864*x^7 - 140*x^8 - 20*x^9 + 24*x^10 - 20*x^11 + 4*x^12 + E^2*(-648*x^4 - 180*x^6 + 36*x^7 - 8*x^8 - 4*x^9 + 4*x^10) + (17496*x^2 + 8748*x^4 - 2916*x^5 + 1296*x^6 - 648*x^7 + 48*x^8 - 36*x^10 + 12*x^11 + E^2*(72*x^6 + 4*x^8 + 4*x^9))*Log[x] + (-1944*x^4 - 540*x^6 + 108*x^7 - 24*x^8 - 12*x^9 + 12*x^10)*Log[x]^2 + (72*x^6 + 4*x^8 + 4*x^9)*Log[x]^3))/x^9,x]","x^{\frac{4 \left(x^3-2 x^2-9\right) \left(x^6-4 x^5+\left(4+e^2\right) x^4-18 x^3+36 x^2+81\right)}{x^6}} \exp \left(4 \left(-\frac{9}{x^2}+x-2\right) \log ^3(x)+\frac{\left(x^3-2 x^2-9\right)^4}{x^8}+\frac{2 e^2 \left(x^3-2 x^2-9\right)^2}{x^4}+2 \left(\frac{3 \left(x^3-2 x^2-9\right)^2}{x^4}+e^2\right) \log ^2(x)+\log ^4(x)+e^5+e^4\right)","e^{\left(\left(\frac{9}{x^2}-x-\log (x)+2\right)^2+e^2\right)^2+e^5}-1",1,"E^(E^4 + E^5 + (2*E^2*(-9 - 2*x^2 + x^3)^2)/x^4 + (-9 - 2*x^2 + x^3)^4/x^8 + 2*(E^2 + (3*(-9 - 2*x^2 + x^3)^2)/x^4)*Log[x]^2 + 4*(-2 - 9/x^2 + x)*Log[x]^3 + Log[x]^4)*x^((4*(-9 - 2*x^2 + x^3)*(81 + 36*x^2 - 18*x^3 + (4 + E^2)*x^4 - 4*x^5 + x^6))/x^6)","B",1
2956,1,17,17,0.0134066,"\int \frac{-9 e^{-x}-9 e^{-x} x \log \left(\frac{4 x}{21}\right)}{2 x \log ^2\left(\frac{4 x}{21}\right)} \, dx","Integrate[(-9/E^x - (9*x*Log[(4*x)/21])/E^x)/(2*x*Log[(4*x)/21]^2),x]","\frac{9 e^{-x}}{2 \log \left(\frac{4 x}{21}\right)}","\frac{9 e^{-x}}{2 \log \left(\frac{4 x}{21}\right)}",1,"9/(2*E^x*Log[(4*x)/21])","A",1
2957,1,22,20,0.0422093,"\int \frac{1}{5} \left(9 e^x \left(1+24 e^x+12 x\right)+45 e^x \log (\log (4))\right) \, dx","Integrate[(9*E^x*(1 + 24*E^x + 12*x) + 45*E^x*Log[Log[4]])/5,x]","\frac{9}{5} e^x \left(12 x+12 e^x-11+5 \log (\log (4))\right)","9 e^x \left(\frac{12}{5} \left(x+e^x-3\right)+5+\log (\log (4))\right)",1,"(9*E^x*(-11 + 12*E^x + 12*x + 5*Log[Log[4]]))/5","A",1
2958,1,17,19,0.0061867,"\int \frac{1}{6} \left(-4+e^x (-4-4 x)+3 x^2\right) \, dx","Integrate[(-4 + E^x*(-4 - 4*x) + 3*x^2)/6,x]","\frac{1}{6} \left(x^3-4 e^x x-4 x\right)","\frac{2}{3} x \left(\frac{x^2}{4}-e^x-1\right)",1,"(-4*x - 4*E^x*x + x^3)/6","A",1
2959,1,13,11,0.0015604,"\int \frac{3-4 x \log (x)}{4 x} \, dx","Integrate[(3 - 4*x*Log[x])/(4*x),x]","x+x (-\log (x))+\frac{3 \log (x)}{4}","x-\left(x-\frac{3}{4}\right) \log (x)",1,"x + (3*Log[x])/4 - x*Log[x]","A",1
2960,1,20,22,0.1199856,"\int -\frac{162 e^{-1+3 e^3+e^{\frac{18}{95+9 x}}+\frac{18}{95+9 x}}}{9025+1710 x+81 x^2} \, dx","Integrate[(-162*E^(-1 + 3*E^3 + E^(18/(95 + 9*x)) + 18/(95 + 9*x)))/(9025 + 1710*x + 81*x^2),x]","e^{e^{\frac{18}{9 x+95}}-1+3 e^3}","e^{e^{\frac{2}{x+\frac{95}{9}}}-1+3 e^3}-3",1,"E^(-1 + 3*E^3 + E^(18/(95 + 9*x)))","A",1
2961,1,17,23,0.0028218,"\int \frac{-10+2 \log (5)+(5-\log (5)) \log \left(4 x^2\right)}{4 x^2} \, dx","Integrate[(-10 + 2*Log[5] + (5 - Log[5])*Log[4*x^2])/(4*x^2),x]","\frac{(\log (5)-5) \log \left(4 x^2\right)}{4 x}","\frac{x^2+\frac{1}{4} x (\log (5)-5) \log \left(4 x^2\right)}{x^2}",1,"((-5 + Log[5])*Log[4*x^2])/(4*x)","A",1
2962,1,20,18,0.1219948,"\int \frac{1223+16 x+(1223+8 x) \log (x)+405 \log ^2(x)+45 \log ^3(x)}{1215+1215 \log (x)+405 \log ^2(x)+45 \log ^3(x)} \, dx","Integrate[(1223 + 16*x + (1223 + 8*x)*Log[x] + 405*Log[x]^2 + 45*Log[x]^3)/(1215 + 1215*Log[x] + 405*Log[x]^2 + 45*Log[x]^3),x]","\frac{1}{45} \left(45 x+\frac{4 (x+2) x}{(\log (x)+3)^2}\right)","x+\frac{4 (x+2) x}{45 (-\log (x)-3)^2}",1,"(45*x + (4*x*(2 + x))/(3 + Log[x])^2)/45","A",1
2963,1,18,21,0.1269665,"\int \frac{2+x+e^4 x-x^2+x \log \left(\frac{16}{x^2}\right)}{e^4 x-x^2+x \log \left(\frac{16}{x^2}\right)} \, dx","Integrate[(2 + x + E^4*x - x^2 + x*Log[16/x^2])/(E^4*x - x^2 + x*Log[16/x^2]),x]","x-\log \left(\log \left(\frac{16}{x^2}\right)-x+e^4\right)","-\log \left(-\log \left(\frac{16}{x^2}\right)+x-e^4\right)+x-5",1,"x - Log[E^4 - x + Log[16/x^2]]","A",1
2964,1,19,18,0.0134449,"\int \frac{3+e^{-1+e^3+x} (1+x)}{\log (75)} \, dx","Integrate[(3 + E^(-1 + E^3 + x)*(1 + x))/Log[75],x]","\frac{e^{x+e^3-1} x+3 x}{\log (75)}","\frac{\left(e^{x+e^3-1}+3\right) x}{\log (75)}-3",1,"(3*x + E^(-1 + E^3 + x)*x)/Log[75]","A",1
2965,1,124,33,0.205668,"\int \frac{2 x+e^4 x^2+x^4+e^2 \left(-1-2 x^3\right)+e^{2-x} \left(3 x+e^4 x^2+x^4+e^2 \left(-2-2 x^3\right)\right)+\left(-1-2 e^4 x+4 e^2 x^2-2 x^3+e^{2-x} \left(-1-2 e^4 x+4 e^2 x^2-2 x^3\right)\right) \log \left(1+e^{2-x}\right)+\left(e^4-2 e^2 x+x^2+e^{2-x} \left(e^4-2 e^2 x+x^2\right)\right) \log ^2\left(1+e^{2-x}\right)}{-x^2+e^4 x^3+x^5+e^2 \left(x-2 x^4\right)+e^{2-x} \left(-x^2+e^4 x^3+x^5+e^2 \left(x-2 x^4\right)\right)+\left(x-2 e^4 x^2-2 x^4+e^2 \left(-1+4 x^3\right)+e^{2-x} \left(x-2 e^4 x^2-2 x^4+e^2 \left(-1+4 x^3\right)\right)\right) \log \left(1+e^{2-x}\right)+\left(e^4 x-2 e^2 x^2+x^3+e^{2-x} \left(e^4 x-2 e^2 x^2+x^3\right)\right) \log ^2\left(1+e^{2-x}\right)} \, dx","Integrate[(2*x + E^4*x^2 + x^4 + E^2*(-1 - 2*x^3) + E^(2 - x)*(3*x + E^4*x^2 + x^4 + E^2*(-2 - 2*x^3)) + (-1 - 2*E^4*x + 4*E^2*x^2 - 2*x^3 + E^(2 - x)*(-1 - 2*E^4*x + 4*E^2*x^2 - 2*x^3))*Log[1 + E^(2 - x)] + (E^4 - 2*E^2*x + x^2 + E^(2 - x)*(E^4 - 2*E^2*x + x^2))*Log[1 + E^(2 - x)]^2)/(-x^2 + E^4*x^3 + x^5 + E^2*(x - 2*x^4) + E^(2 - x)*(-x^2 + E^4*x^3 + x^5 + E^2*(x - 2*x^4)) + (x - 2*E^4*x^2 - 2*x^4 + E^2*(-1 + 4*x^3) + E^(2 - x)*(x - 2*E^4*x^2 - 2*x^4 + E^2*(-1 + 4*x^3)))*Log[1 + E^(2 - x)] + (E^4*x - 2*E^2*x^2 + x^3 + E^(2 - x)*(E^4*x - 2*E^2*x^2 + x^3))*Log[1 + E^(2 - x)]^2),x]","\log \left(-2 x^3+2 e^2 x^2+x^2 \left(x+\log \left(e^{2-x}+1\right)-\log \left(e^x+e^2\right)\right)+x^2 \log \left(e^x+e^2\right)-e^2 x \left(x+\log \left(e^{2-x}+1\right)-\log \left(e^x+e^2\right)\right)-e^2 x \log \left(e^x+e^2\right)+1\right)-\log \left(e^2-x\right)-\log \left(\log \left(e^{2-x}+1\right)-x\right)","\log \left(\frac{1}{\left(x-e^2\right) \left(x-\log \left(e^{2-x}+1\right)\right)}-x\right)-5",1,"-Log[E^2 - x] - Log[-x + Log[1 + E^(2 - x)]] + Log[1 + 2*E^2*x^2 - 2*x^3 - E^2*x*(x + Log[1 + E^(2 - x)] - Log[E^2 + E^x]) + x^2*(x + Log[1 + E^(2 - x)] - Log[E^2 + E^x]) - E^2*x*Log[E^2 + E^x] + x^2*Log[E^2 + E^x]]","B",1
2966,1,29,34,0.245721,"\int \frac{\exp \left(-x+\frac{-20+25 x+e^{2 e^{-x} x} \left(-4 x+4 x^2\right)}{-4+5 x}\right) \left(e^x \left(16-40 x+25 x^2\right)+e^{2 e^{-x} x} \left(32 x^2-104 x^3+112 x^4-40 x^5+e^x \left(16 x-32 x^2+20 x^3\right)\right)\right)}{16-40 x+25 x^2} \, dx","Integrate[(E^(-x + (-20 + 25*x + E^((2*x)/E^x)*(-4*x + 4*x^2))/(-4 + 5*x))*(E^x*(16 - 40*x + 25*x^2) + E^((2*x)/E^x)*(32*x^2 - 104*x^3 + 112*x^4 - 40*x^5 + E^x*(16*x - 32*x^2 + 20*x^3))))/(16 - 40*x + 25*x^2),x]","e^{\frac{4 e^{2 e^{-x} x} (x-1) x}{5 x-4}+5} x","e^{\frac{4 e^{2 e^{-x} x} x^2}{\frac{x}{x-1}+5 x}+5} x",1,"E^(5 + (4*E^((2*x)/E^x)*(-1 + x)*x)/(-4 + 5*x))*x","A",1
2967,1,26,26,0.0041246,"\int \frac{16+5 x-5 x^3+e x^3-2 x^4}{2 x^3} \, dx","Integrate[(16 + 5*x - 5*x^3 + E*x^3 - 2*x^4)/(2*x^3),x]","\frac{1}{2} \left(-x^2-\frac{8}{x^2}+e x-5 x-\frac{5}{x}\right)","\frac{1}{2} \left(-\frac{5}{x^2}-x+e-3\right) x-\frac{4}{x^2}-x+2",1,"(-8/x^2 - 5/x - 5*x + E*x - x^2)/2","A",1
2968,1,20,24,0.7588685,"\int \frac{-600-300 x+67 x^2+8 x^3-x^4}{-1800 x+150 x^2+99 x^3-2 x^4-x^5+\left(600 x-150 x^2-8 x^3+2 x^4\right) \log \left(\frac{300-75 x-4 x^2+x^3}{x}\right)} \, dx","Integrate[(-600 - 300*x + 67*x^2 + 8*x^3 - x^4)/(-1800*x + 150*x^2 + 99*x^3 - 2*x^4 - x^5 + (600*x - 150*x^2 - 8*x^3 + 2*x^4)*Log[(300 - 75*x - 4*x^2 + x^3)/x]),x]","\log \left(-2 \log \left(x^2-4 x+\frac{300}{x}-75\right)+x+6\right)","\log \left(-\frac{x}{2}+\log \left((4-x) \left(\frac{75}{x}-x\right)\right)-3\right)",1,"Log[6 + x - 2*Log[-75 + 300/x - 4*x + x^2]]","A",1
2969,1,30,32,2.5481981,"\int \frac{-e^{3 x}+e^{2 x} (4-2 x)+4 x^2+e^x \left(8 x-x^2\right)+\left(4 e^x x \log (5)+4 x^2 \log (5)\right) \log \left(3 x^2\right)+\left(x^2 \log (5)+e^x \left(2 x-x^2\right) \log (5)\right) \log ^2\left(3 x^2\right)}{e^{2 x}+2 e^x x+x^2} \, dx","Integrate[(-E^(3*x) + E^(2*x)*(4 - 2*x) + 4*x^2 + E^x*(8*x - x^2) + (4*E^x*x*Log[5] + 4*x^2*Log[5])*Log[3*x^2] + (x^2*Log[5] + E^x*(2*x - x^2)*Log[5])*Log[3*x^2]^2)/(E^(2*x) + 2*E^x*x + x^2),x]","\frac{x^2 \log (5) \log ^2\left(3 x^2\right)}{x+e^x}-e^x+4 x","x \left(\frac{x \log (5) \log ^2\left(3 x^2\right)}{x+e^x}+5\right)-x-e^x",1,"-E^x + 4*x + (x^2*Log[5]*Log[3*x^2]^2)/(E^x + x)","A",1
2970,1,31,33,0.1188932,"\int \frac{2+e^{2 x} (70-50 x)-2 x+e^x (-32+16 x)}{1-10 e^x+25 e^{2 x}} \, dx","Integrate[(2 + E^(2*x)*(70 - 50*x) - 2*x + E^x*(-32 + 16*x))/(1 - 10*E^x + 25*E^(2*x)),x]","-2 \left(\frac{x^2}{2}-\frac{7 x}{5}-\frac{2 (x+2)}{5 \left(5 e^x-1\right)}\right)","-x^2+2 x+\frac{4 (x+2)}{4-e^{-x} \left(1-e^x\right)}+5",1,"-2*((-7*x)/5 + x^2/2 - (2*(2 + x))/(5*(-1 + 5*E^x)))","A",1
2971,1,24,22,1.5192226,"\int e^{4 x+e^{2 e^{4-3 x^2} x^2} x} \left(4+e^{2 e^{4-3 x^2} x^2} \left(1+e^{4-3 x^2} \left(4 x^2-12 x^4\right)\right)\right) \, dx","Integrate[E^(4*x + E^(2*E^(4 - 3*x^2)*x^2)*x)*(4 + E^(2*E^(4 - 3*x^2)*x^2)*(1 + E^(4 - 3*x^2)*(4*x^2 - 12*x^4))),x]","e^{e^{2 e^{4-3 x^2} x^2} x+4 x}","e^{\left(e^{2 e^{4-3 x^2} x^2}+4\right) x}",1,"E^(4*x + E^(2*E^(4 - 3*x^2)*x^2)*x)","A",1
2972,1,51,18,0.1194081,"\int \frac{-81+x-7776 x^5+96 x^6+64 x^5 \log (-81+x)+\left(-12960 x^4+160 x^5\right) \log ^2(-81+x)+96 x^4 \log ^3(-81+x)+\left(-7776 x^3+96 x^4\right) \log ^4(-81+x)+48 x^3 \log ^5(-81+x)+\left(-1944 x^2+24 x^3\right) \log ^6(-81+x)+8 x^2 \log ^7(-81+x)+\left(-162 x+2 x^2\right) \log ^8(-81+x)}{-81+x} \, dx","Integrate[(-81 + x - 7776*x^5 + 96*x^6 + 64*x^5*Log[-81 + x] + (-12960*x^4 + 160*x^5)*Log[-81 + x]^2 + 96*x^4*Log[-81 + x]^3 + (-7776*x^3 + 96*x^4)*Log[-81 + x]^4 + 48*x^3*Log[-81 + x]^5 + (-1944*x^2 + 24*x^3)*Log[-81 + x]^6 + 8*x^2*Log[-81 + x]^7 + (-162*x + 2*x^2)*Log[-81 + x]^8)/(-81 + x),x]","16 x^6+32 x^5 \log ^2(x-81)+24 x^4 \log ^4(x-81)+8 x^3 \log ^6(x-81)+x^2 \log ^8(x-81)+x-4518872583777","x^2 \left(2 x+\log ^2(x-81)\right)^4+x",1,"-4518872583777 + x + 16*x^6 + 32*x^5*Log[-81 + x]^2 + 24*x^4*Log[-81 + x]^4 + 8*x^3*Log[-81 + x]^6 + x^2*Log[-81 + x]^8","B",1
2973,1,36,28,0.0457455,"\int \frac{509+e^{2 x} (2-4 x)+63 x^2+2 x^3-6 x^4+e^x \left(-64+64 x-4 x^2-4 x^3\right)}{x^2} \, dx","Integrate[(509 + E^(2*x)*(2 - 4*x) + 63*x^2 + 2*x^3 - 6*x^4 + E^x*(-64 + 64*x - 4*x^2 - 4*x^3))/x^2,x]","\frac{-2 x^4+x^3+63 x^2-4 e^x \left(x^2-16\right)-2 e^{2 x}-509}{x}","x^2+\frac{-x^2-2 \left(x^2+e^x-16\right)^2+x+3}{x}",1,"(-509 - 2*E^(2*x) + 63*x^2 + x^3 - 2*x^4 - 4*E^x*(-16 + x^2))/x","A",1
2974,1,30,21,0.0221415,"\int \frac{2048+4096 x^2+3072 x \log (2)+e^x (100 x+75 \log (2))}{100 x+75 \log (2)} \, dx","Integrate[(2048 + 4096*x^2 + 3072*x*Log[2] + E^x*(100*x + 75*Log[2]))/(100*x + 75*Log[2]),x]","\frac{1}{25} \left(512 x^2+25 e^x+512 \log (4 x+\log (8))-32 \log ^2(8)\right)","\frac{512}{25} \left(x^2+\log \left(\frac{4 x}{3}+\log (2)\right)\right)+e^x",1,"(25*E^x + 512*x^2 - 32*Log[8]^2 + 512*Log[4*x + Log[8]])/25","A",1
2975,1,23,22,0.4788981,"\int \frac{x^{-6/x} \left(-x^2-2 x^4+\left(x+2 x^3\right) \log (9)+\left(-30 x+5 x^2+6 x^3-x^4+\left(30-6 x^2\right) \log (9)+\left(36 x-x^2-6 x^3+\left(-36+6 x^2\right) \log (9)\right) \log (x)+(-6 x+6 \log (9)) \log ^2(x)\right) \log \left(-5+x^2+\log (x)\right)\right)}{-5 x^2+x^4+x^2 \log (x)} \, dx","Integrate[(-x^2 - 2*x^4 + (x + 2*x^3)*Log[9] + (-30*x + 5*x^2 + 6*x^3 - x^4 + (30 - 6*x^2)*Log[9] + (36*x - x^2 - 6*x^3 + (-36 + 6*x^2)*Log[9])*Log[x] + (-6*x + 6*Log[9])*Log[x]^2)*Log[-5 + x^2 + Log[x]])/(x^(6/x)*(-5*x^2 + x^4 + x^2*Log[x])),x]","-x^{-6/x} (x-\log (9)) \log \left(x^2+\log (x)-5\right)","x^{-6/x} (\log (9)-x) \log \left(x^2+\log (x)-5\right)",1,"-(((x - Log[9])*Log[-5 + x^2 + Log[x]])/x^(6/x))","A",1
2976,1,75,31,0.2538842,"\int \frac{1}{3} \exp \left(\frac{1}{3} \left(3 e^{x^2-2 x \log (5)+\log ^2(5)}-e^{4 e^3} x^2+4 e^{3 e^3} x^3-6 e^{2 e^3} x^4+4 e^{e^3} x^5-x^6\right)\right) \left(-2 e^{4 e^3} x+12 e^{3 e^3} x^2-24 e^{2 e^3} x^3+20 e^{e^3} x^4-6 x^5+e^{x^2-2 x \log (5)+\log ^2(5)} (6 x-6 \log (5))\right) \, dx","Integrate[(E^((3*E^(x^2 - 2*x*Log[5] + Log[5]^2) - E^(4*E^3)*x^2 + 4*E^(3*E^3)*x^3 - 6*E^(2*E^3)*x^4 + 4*E^E^3*x^5 - x^6)/3)*(-2*E^(4*E^3)*x + 12*E^(3*E^3)*x^2 - 24*E^(2*E^3)*x^3 + 20*E^E^3*x^4 - 6*x^5 + E^(x^2 - 2*x*Log[5] + Log[5]^2)*(6*x - 6*Log[5])))/3,x]","\exp \left(\frac{1}{3} \left(-x^6+4 e^{e^3} x^5-6 e^{2 e^3} x^4+4 e^{3 e^3} x^3-e^{4 e^3} x^2+3\ 5^{-2 x} e^{x^2+\log ^2(5)}\right)\right)","e^{e^{(x-\log (5))^2}-\frac{1}{3} x^2 \left(x-e^{e^3}\right)^4}",1,"E^(((3*E^(x^2 + Log[5]^2))/5^(2*x) - E^(4*E^3)*x^2 + 4*E^(3*E^3)*x^3 - 6*E^(2*E^3)*x^4 + 4*E^E^3*x^5 - x^6)/3)","B",1
2977,1,4,18,0.0002246,"\int -\frac{2}{x} \, dx","Integrate[-2/x,x]","-2 \log (x)","-\log \left(x^2\right)+1-18 \log \left(\frac{3}{5 e^3}\right)",1,"-2*Log[x]","A",1
2978,1,9,25,0.0013428,"\int \frac{1}{2} \left(-1+2 e^x\right) \, dx","Integrate[(-1 + 2*E^x)/2,x]","e^x-\frac{x}{2}","\frac{x-8}{2}+e^x-x-1+5 \log ^2(3)-\log (3)",1,"E^x - x/2","A",1
2979,1,20,20,0.0459423,"\int \frac{3600-27 x^3+9 e^5 x^3+e^5 \left(400-3 x^3\right) \log \left(\frac{1}{100} \left(-400+3 x^3\right)\right)}{-400 x^2+3 x^5} \, dx","Integrate[(3600 - 27*x^3 + 9*E^5*x^3 + E^5*(400 - 3*x^3)*Log[(-400 + 3*x^3)/100])/(-400*x^2 + 3*x^5),x]","\frac{e^5 \log \left(\frac{3 x^3}{100}-4\right)+9}{x}","\frac{e^5 \log \left(\frac{3 x^3}{100}-4\right)+9}{x}",1,"(9 + E^5*Log[-4 + (3*x^3)/100])/x","A",1
2980,1,18,22,0.0078899,"\int \frac{-6 x-12 x^3+30 x^4}{2-3 x^2-3 x^4+6 x^5} \, dx","Integrate[(-6*x - 12*x^3 + 30*x^4)/(2 - 3*x^2 - 3*x^4 + 6*x^5),x]","\log \left(6 x^5-3 x^4-3 x^2+2\right)","\log \left(4-6 x \left(x-x^2 \left(2 x^2-x\right)\right)\right)",1,"Log[2 - 3*x^2 - 3*x^4 + 6*x^5]","A",1
2981,1,21,21,0.7512947,"\int \frac{-20 x^2+e^{\frac{-4+x^2}{x}} \left(-40-10 x^2\right)}{e^{3+\frac{2 \left(-4+x^2\right)}{x}} x^2+e^{3+\frac{-4+x^2}{x}} \left(8 x^2+4 x^3\right)+e^3 \left(16 x^2+16 x^3+4 x^4\right)} \, dx","Integrate[(-20*x^2 + E^((-4 + x^2)/x)*(-40 - 10*x^2))/(E^(3 + (2*(-4 + x^2))/x)*x^2 + E^(3 + (-4 + x^2)/x)*(8*x^2 + 4*x^3) + E^3*(16*x^2 + 16*x^3 + 4*x^4)),x]","\frac{10}{e^3 \left(2 x+e^{x-\frac{4}{x}}+4\right)}","\frac{10}{e^3 \left(2 x+e^{x-\frac{4}{x}}+4\right)}",1,"10/(E^3*(4 + E^(-4/x + x) + 2*x))","A",1
2982,1,24,27,0.419762,"\int \frac{e^x \left(-320 x-96 x^2+208 x^3-64 x^4\right)+e^x \left(128 x+64 x^2\right) \log (x)}{-216+540 x-882 x^2+845 x^3-588 x^4+240 x^5-64 x^6+\left(432-720 x+876 x^2-480 x^3+192 x^4\right) \log (x)+\left(-288+240 x-192 x^2\right) \log ^2(x)+64 \log ^3(x)} \, dx","Integrate[(E^x*(-320*x - 96*x^2 + 208*x^3 - 64*x^4) + E^x*(128*x + 64*x^2)*Log[x])/(-216 + 540*x - 882*x^2 + 845*x^3 - 588*x^4 + 240*x^5 - 64*x^6 + (432 - 720*x + 876*x^2 - 480*x^3 + 192*x^4)*Log[x] + (-288 + 240*x - 192*x^2)*Log[x]^2 + 64*Log[x]^3),x]","\frac{16 e^x x^2}{\left(-4 x^2+5 x+4 \log (x)-6\right)^2}","\frac{e^x}{\left(x-\frac{\frac{x-2}{4}+\log (x)-1}{x}-1\right)^2}+2",1,"(16*E^x*x^2)/(-6 + 5*x - 4*x^2 + 4*Log[x])^2","A",1
2983,1,19,20,0.1223575,"\int \frac{-4-4 x+(-4-6 x) \log (x)-1296 x^3 \log ^3(x)}{\left(81 x^3+162 x^4+81 x^5\right) \log ^3(x)} \, dx","Integrate[(-4 - 4*x + (-4 - 6*x)*Log[x] - 1296*x^3*Log[x]^3)/((81*x^3 + 162*x^4 + 81*x^5)*Log[x]^3),x]","\frac{2 \left(\frac{1}{x^2 \log ^2(x)}+648\right)}{81 (x+1)}","\frac{2 \left(\frac{1}{81 x^2 \log ^2(x)}+8\right)}{x+1}",1,"(2*(648 + 1/(x^2*Log[x]^2)))/(81*(1 + x))","A",1
2984,1,22,27,0.2239959,"\int \frac{\exp \left(\frac{-6-3 x+x^2+(-2-x) \log \left(4 x-x^2\right)}{2+x}\right) \left(16+8 x-20 x^2-2 x^3+x^4\right)}{-16 x-12 x^2+x^4} \, dx","Integrate[(E^((-6 - 3*x + x^2 + (-2 - x)*Log[4*x - x^2])/(2 + x))*(16 + 8*x - 20*x^2 - 2*x^3 + x^4))/(-16*x - 12*x^2 + x^4),x]","-\frac{e^{x+\frac{4}{x+2}-5}}{(x-4) x}","\frac{e^{x+\frac{4}{-\frac{4}{x}-2}-3}}{(4-x) x}",1,"-(E^(-5 + x + 4/(2 + x))/((-4 + x)*x))","A",1
2985,1,25,25,0.1106983,"\int \frac{e^{2 x} (2+x)+\left(e^x (4+2 x)+e^{2 x} \left(3 x+2 x^2\right)\right) \log (x)+\left(2-4 e^{2 x}+x-4 e^{3 x} x+e^x \left(6 x+4 x^2\right)\right) \log ^2(x)+\left(3 x+2 x^2\right) \log ^3(x)}{e^{4 x} x \log ^2(x)+2 e^{3 x} x \log ^3(x)+e^{2 x} x \log ^4(x)} \, dx","Integrate[(E^(2*x)*(2 + x) + (E^x*(4 + 2*x) + E^(2*x)*(3*x + 2*x^2))*Log[x] + (2 - 4*E^(2*x) + x - 4*E^(3*x)*x + E^x*(6*x + 4*x^2))*Log[x]^2 + (3*x + 2*x^2)*Log[x]^3)/(E^(4*x)*x*Log[x]^2 + 2*E^(3*x)*x*Log[x]^3 + E^(2*x)*x*Log[x]^4),x]","\frac{4}{e^x+\log (x)}-\frac{e^{-2 x} (x+2)}{\log (x)}","\frac{4}{e^x+\log (x)}-\frac{e^{-2 x} (x+2)}{\log (x)}",1,"-((2 + x)/(E^(2*x)*Log[x])) + 4/(E^x + Log[x])","A",1
2986,1,26,28,0.2336866,"\int \frac{e^{-3+\frac{e^{-3+e^{512+2 e^2+64 x+2 x^2}}}{x}} \left(4 e^3 x+e^{e^{512+2 e^2+64 x+2 x^2}} \left(-4+e^{512+2 e^2+64 x+2 x^2} \left(256 x+16 x^2\right)\right)\right)}{x} \, dx","Integrate[(E^(-3 + E^(-3 + E^(512 + 2*E^2 + 64*x + 2*x^2))/x)*(4*E^3*x + E^E^(512 + 2*E^2 + 64*x + 2*x^2)*(-4 + E^(512 + 2*E^2 + 64*x + 2*x^2)*(256*x + 16*x^2))))/x,x]","4 e^{\frac{e^{e^{2 \left((x+16)^2+e^2\right)}-3}}{x}} x","4 e^{\frac{e^{e^{2 (x+16)^2+2 e^2}-3}}{x}} x",1,"4*E^(E^(-3 + E^(2*(E^2 + (16 + x)^2)))/x)*x","A",1
2987,1,28,31,0.1576774,"\int \frac{-25-2 x^3+\left(25-95 x-x^3\right) \log (5)+\left(-25+95 x+x^3\right) \log \left(\frac{-25+95 x+x^3}{5 x}\right)}{-75 x^2+285 x^3+3 x^5} \, dx","Integrate[(-25 - 2*x^3 + (25 - 95*x - x^3)*Log[5] + (-25 + 95*x + x^3)*Log[(-25 + 95*x + x^3)/(5*x)])/(-75*x^2 + 285*x^3 + 3*x^5),x]","\frac{1}{3} \left(\frac{2 \log (5)}{x}-\frac{\log \left(x^2-\frac{25}{x}+95\right)}{x}\right)","\frac{-\log \left(\frac{x^2}{5}-\frac{x+5}{x}+20\right)+x+\log (5)}{3 x}",1,"((2*Log[5])/x - Log[95 - 25/x + x^2]/x)/3","A",1
2988,1,15,23,0.0100361,"\int \frac{27-18 x-18 e^4 x+3 x^2}{9 x-6 x^2+x^3} \, dx","Integrate[(27 - 18*x - 18*E^4*x + 3*x^2)/(9*x - 6*x^2 + x^3),x]","3 \left(\frac{6 e^4}{x-3}+\log (x)\right)","\log \left(5 e^4 x^3\right)-\frac{6 e^4 x}{3-x}",1,"3*((6*E^4)/(-3 + x) + Log[x])","A",1
2989,1,22,25,1.1271768,"\int \frac{e^{-\frac{240 x}{5 x+e^x \log (x)}} \left(960 e^x x-200 x^2+e^x \left(-1040 x+960 x^2\right) \log (x)-8 e^{2 x} \log ^2(x)\right)}{25 x^5+10 e^x x^4 \log (x)+e^{2 x} x^3 \log ^2(x)} \, dx","Integrate[(960*E^x*x - 200*x^2 + E^x*(-1040*x + 960*x^2)*Log[x] - 8*E^(2*x)*Log[x]^2)/(E^((240*x)/(5*x + E^x*Log[x]))*(25*x^5 + 10*E^x*x^4*Log[x] + E^(2*x)*x^3*Log[x]^2)),x]","\frac{4 e^{-\frac{240 x}{5 x+e^x \log (x)}}}{x^2}","\frac{4 e^{-\frac{48 x}{x+\frac{1}{5} e^x \log (x)}}}{x^2}+5",1,"4/(E^((240*x)/(5*x + E^x*Log[x]))*x^2)","A",1
2990,1,18,25,0.0154181,"\int \frac{2 \log (9)-\log (9) \log \left(\frac{3}{x^2}\right)}{x \log \left(\frac{3}{x^2}\right)} \, dx","Integrate[(2*Log[9] - Log[9]*Log[3/x^2])/(x*Log[3/x^2]),x]","-\log (9) \log \left(\log \left(\frac{3}{x^2}\right)\right)-\log (9) \log (x)","\log (9) \log \left(\frac{2}{x \log (3) \log (5) \log \left(\frac{3}{x^2}\right)}\right)",1,"-(Log[9]*Log[x]) - Log[9]*Log[Log[3/x^2]]","A",1
2991,1,27,26,0.1203535,"\int \frac{-2-2 e^x+\left(1+e^x (1-x)\right) \log (x)+\left(1+e^x+\left(-1-e^x\right) \log (x)\right) \log \left(\frac{5}{x+e^x x}\right)}{\left(-10 x-10 e^x x\right) \log (x)+\left(5 x+5 e^x x\right) \log (x) \log \left(\frac{5}{x+e^x x}\right)+\left(\left(-2 x-2 e^x x\right) \log (x)+\left(x+e^x x\right) \log (x) \log \left(\frac{5}{x+e^x x}\right)\right) \log \left(\frac{2 \log (x)-\log (x) \log \left(\frac{5}{x+e^x x}\right)}{x}\right)} \, dx","Integrate[(-2 - 2*E^x + (1 + E^x*(1 - x))*Log[x] + (1 + E^x + (-1 - E^x)*Log[x])*Log[5/(x + E^x*x)])/((-10*x - 10*E^x*x)*Log[x] + (5*x + 5*E^x*x)*Log[x]*Log[5/(x + E^x*x)] + ((-2*x - 2*E^x*x)*Log[x] + (x + E^x*x)*Log[x]*Log[5/(x + E^x*x)])*Log[(2*Log[x] - Log[x]*Log[5/(x + E^x*x)])/x]),x]","\log \left(-\log \left(-\frac{\log (x) \left(\log \left(\frac{5}{e^x x+x}\right)-2\right)}{x}\right)-5\right)","\log \left(\log \left(\frac{\log (x) \left(2-\log \left(\frac{5}{e^x x+x}\right)\right)}{x}\right)+5\right)",1,"Log[-5 - Log[-((Log[x]*(-2 + Log[5/(x + E^x*x)]))/x)]]","A",1
2992,1,20,22,0.0262821,"\int \frac{-625-625 x+250 e^2 x-25 e^4 x+\left(1000 x-200 e^2 x\right) \log (19)-400 x \log ^2(19)}{-15625+46875 x-46875 x^2+15625 x^3-30 e^{10} x^3+e^{12} x^3+e^2 \left(-18750 x+37500 x^2-18750 x^3\right)+e^6 \left(1500 x^2-2500 x^3\right)+e^8 \left(-75 x^2+375 x^3\right)+e^4 \left(1875 x-11250 x^2+9375 x^3\right)+\left(-75000 x+150000 x^2-75000 x^3-600 e^8 x^3+24 e^{10} x^3+e^4 \left(18000 x^2-30000 x^3\right)+e^6 \left(-1200 x^2+6000 x^3\right)+e^2 \left(15000 x-90000 x^2+75000 x^3\right)\right) \log (19)+\left(30000 x-180000 x^2+150000 x^3-4800 e^6 x^3+240 e^8 x^3+e^2 \left(72000 x^2-120000 x^3\right)+e^4 \left(-7200 x^2+36000 x^3\right)\right) \log ^2(19)+\left(96000 x^2-160000 x^3-19200 e^4 x^3+1280 e^6 x^3+e^2 \left(-19200 x^2+96000 x^3\right)\right) \log ^3(19)+\left(-19200 x^2+96000 x^3-38400 e^2 x^3+3840 e^4 x^3\right) \log ^4(19)+\left(-30720 x^3+6144 e^2 x^3\right) \log ^5(19)+4096 x^3 \log ^6(19)} \, dx","Integrate[(-625 - 625*x + 250*E^2*x - 25*E^4*x + (1000*x - 200*E^2*x)*Log[19] - 400*x*Log[19]^2)/(-15625 + 46875*x - 46875*x^2 + 15625*x^3 - 30*E^10*x^3 + E^12*x^3 + E^2*(-18750*x + 37500*x^2 - 18750*x^3) + E^6*(1500*x^2 - 2500*x^3) + E^8*(-75*x^2 + 375*x^3) + E^4*(1875*x - 11250*x^2 + 9375*x^3) + (-75000*x + 150000*x^2 - 75000*x^3 - 600*E^8*x^3 + 24*E^10*x^3 + E^4*(18000*x^2 - 30000*x^3) + E^6*(-1200*x^2 + 6000*x^3) + E^2*(15000*x - 90000*x^2 + 75000*x^3))*Log[19] + (30000*x - 180000*x^2 + 150000*x^3 - 4800*E^6*x^3 + 240*E^8*x^3 + E^2*(72000*x^2 - 120000*x^3) + E^4*(-7200*x^2 + 36000*x^3))*Log[19]^2 + (96000*x^2 - 160000*x^3 - 19200*E^4*x^3 + 1280*E^6*x^3 + E^2*(-19200*x^2 + 96000*x^3))*Log[19]^3 + (-19200*x^2 + 96000*x^3 - 38400*E^2*x^3 + 3840*E^4*x^3)*Log[19]^4 + (-30720*x^3 + 6144*E^2*x^3)*Log[19]^5 + 4096*x^3*Log[19]^6),x]","\frac{25 x}{\left(x \left(-5+e^2+4 \log (19)\right)^2-25\right)^2}","\frac{x}{\left(5-\frac{1}{5} x \left(-5+e^2+4 \log (19)\right)^2\right)^2}",1,"(25*x)/(-25 + x*(-5 + E^2 + 4*Log[19])^2)^2","A",1
2993,1,22,22,0.0043074,"\int -\frac{2 \log ^2(\log (5)) \log (4-x+5 \log (\log (4)) \log (\log (25)))}{4-x+5 \log (\log (4)) \log (\log (25))} \, dx","Integrate[(-2*Log[Log[5]]^2*Log[4 - x + 5*Log[Log[4]]*Log[Log[25]]])/(4 - x + 5*Log[Log[4]]*Log[Log[25]]),x]","\log ^2(\log (5)) \log ^2(-x+4+5 \log (\log (4)) \log (\log (25)))","\log ^2(\log (5)) \log ^2(-x+4+5 \log (\log (4)) \log (\log (25)))",1,"Log[Log[5]]^2*Log[4 - x + 5*Log[Log[4]]*Log[Log[25]]]^2","A",1
2994,1,25,24,0.1536663,"\int \frac{-380+76 e^{e^5}-3 x^2+\left(380-76 e^{e^5}+9 x^2\right) \log (2 x)}{76 \log ^2(2 x)} \, dx","Integrate[(-380 + 76*E^E^5 - 3*x^2 + (380 - 76*E^E^5 + 9*x^2)*Log[2*x])/(76*Log[2*x]^2),x]","\frac{x \left(3 x^2-76 e^{e^5}+380\right)}{76 \log (2 x)}","\frac{x \left(\frac{3 x^2}{76}-e^{e^5}+5\right)}{\log (2 x)}",1,"(x*(380 - 76*E^E^5 + 3*x^2))/(76*Log[2*x])","A",1
2995,1,19,20,0.0487038,"\int \frac{-1-x-x^2+\left(-1-2 x-3 x^2\right) \log (x)}{\left(x+x^2+x^3\right) \log (x)} \, dx","Integrate[(-1 - x - x^2 + (-1 - 2*x - 3*x^2)*Log[x])/((x + x^2 + x^3)*Log[x]),x]","-\log \left(x^2+x+1\right)-\log (x)-\log (\log (x))","\log \left(\frac{4}{x \left(x^2+x+1\right) \log (x)}\right)+4",1,"-Log[x] - Log[1 + x + x^2] - Log[Log[x]]","A",1
2996,1,18,25,0.1593384,"\int \frac{e^{\frac{2 (7+x)}{x}} (-896-64 x)+192 x}{81 x-54 e^{\frac{2 (7+x)}{x}} x+9 e^{\frac{4 (7+x)}{x}} x} \, dx","Integrate[(E^((2*(7 + x))/x)*(-896 - 64*x) + 192*x)/(81*x - 54*E^((2*(7 + x))/x)*x + 9*E^((4*(7 + x))/x)*x),x]","-\frac{64 x}{9 \left(e^{\frac{14}{x}+2}-3\right)}","\frac{1}{4} \left(5-\frac{256 x}{9 \left(e^{\frac{2 (x+7)}{x}}-3\right)}\right)",1,"(-64*x)/(9*(-3 + E^(2 + 14/x)))","A",1
2997,1,8290,28,28.1042374,"\int \frac{1740 x^5-2388 x^6+1143 x^7-222 x^8+15 x^9+\left(-64 x+32 x^2\right) \log \left(\frac{-29+5 x}{-5+x}\right)+\left(4640-4628 x+1240 x^2-100 x^3\right) \log ^2\left(\frac{-29+5 x}{-5+x}\right)}{1740 x^5-2388 x^6+1143 x^7-222 x^8+15 x^9} \, dx","Integrate[(1740*x^5 - 2388*x^6 + 1143*x^7 - 222*x^8 + 15*x^9 + (-64*x + 32*x^2)*Log[(-29 + 5*x)/(-5 + x)] + (4640 - 4628*x + 1240*x^2 - 100*x^3)*Log[(-29 + 5*x)/(-5 + x)]^2)/(1740*x^5 - 2388*x^6 + 1143*x^7 - 222*x^8 + 15*x^9),x]","\text{Result too large to show}","x-\frac{4 \log ^2\left(5-\frac{4}{x-5}\right)}{3 (2-x) x^4}",1,"Result too large to show","C",0
2998,1,56,21,1.1882211,"\int \frac{1}{4} \exp \left(\frac{1}{4} \left(-4+4 x+64 x^2-64 x^3+(1-x) \log (9)\right)\right) \left(4+4 x+128 x^2-192 x^3-x \log (9)\right) \, dx","Integrate[(E^((-4 + 4*x + 64*x^2 - 64*x^3 + (1 - x)*Log[9])/4)*(4 + 4*x + 128*x^2 - 192*x^3 - x*Log[9]))/4,x]","\frac{1}{4} \int \left(-192 x^3+128 x^2+4 x-x \log (9)+4\right) \exp \left(\frac{1}{4} \left(-64 x^3+64 x^2+4 x+(1-x) \log (9)-4\right)\right) \, dx","x e^{(x-1) \left(-16 x^2+1-\frac{\log (9)}{4}\right)}",1,"Integrate[E^((-4 + 4*x + 64*x^2 - 64*x^3 + (1 - x)*Log[9])/4)*(4 + 4*x + 128*x^2 - 192*x^3 - x*Log[9]), x]/4","F",1
2999,1,8,9,0.0248806,"\int \frac{2+\log (x)}{x+x \log (x)} \, dx","Integrate[(2 + Log[x])/(x + x*Log[x]),x]","\log (x)+\log (\log (x)+1)","\log (x+x \log (x))+4",1,"Log[x] + Log[1 + Log[x]]","A",1
3000,1,58,33,0.5589934,"\int \exp \left(-\frac{2 \left(2 x-2 e^x \log (2) \log (4)+2 \log ^2(2) \log (4)\right)}{x}\right) \left(2 x+\exp \left(\frac{2 \left(2 x-2 e^x \log (2) \log (4)+2 \log ^2(2) \log (4)\right)}{x}\right) (-1+2 x)+e^x (-4+4 x) \log (2) \log (4)+4 \log ^2(2) \log (4)+\exp \left(\frac{2 x-2 e^x \log (2) \log (4)+2 \log ^2(2) \log (4)}{x}\right) \left(-4 x+e^x (4-4 x) \log (2) \log (4)-4 \log ^2(2) \log (4)\right)\right) \, dx","Integrate[(2*x + E^((2*(2*x - 2*E^x*Log[2]*Log[4] + 2*Log[2]^2*Log[4]))/x)*(-1 + 2*x) + E^x*(-4 + 4*x)*Log[2]*Log[4] + 4*Log[2]^2*Log[4] + E^((2*x - 2*E^x*Log[2]*Log[4] + 2*Log[2]^2*Log[4])/x)*(-4*x + E^x*(4 - 4*x)*Log[2]*Log[4] - 4*Log[2]^2*Log[4]))/E^((2*(2*x - 2*E^x*Log[2]*Log[4] + 2*Log[2]^2*Log[4]))/x),x]","x \left(x \left(e^{-\frac{4 \left(x-e^x \log (2) \log (4)+2 \log ^3(2)\right)}{x}}-2 e^{\frac{-2 x+e^x \log ^2(4)-4 \log ^3(2)}{x}}+1\right)-1\right)","\left(x-x \exp \left(-2 \left(\frac{\log (2) \log (4) \left(\log (2)-e^x\right)}{x}+1\right)\right)\right)^2-x",1,"x*(-1 + (1 + E^((-4*(x + 2*Log[2]^3 - E^x*Log[2]*Log[4]))/x) - 2*E^((-2*x - 4*Log[2]^3 + E^x*Log[4]^2)/x))*x)","A",0
3001,1,194,29,0.4266688,"\int \frac{-27 x-18 x^2+18 x^3+\left(-6+12 x^2\right) \log (3)+x \log ^2(3)+(36 x+(6-6 x) \log (3)) \log (x)-9 x \log ^2(x)}{9 x^3+6 x^2 \log (3)+x \log ^2(3)} \, dx","Integrate[(-27*x - 18*x^2 + 18*x^3 + (-6 + 12*x^2)*Log[3] + x*Log[3]^2 + (36*x + (6 - 6*x)*Log[3])*Log[x] - 9*x*Log[x]^2)/(9*x^3 + 6*x^2*Log[3] + x*Log[3]^2),x]","\frac{18 \text{Li}_2\left(-\frac{x \log (27)}{\log ^2(3)}\right)}{\log (27)}-\frac{6 \text{Li}_2\left(-\frac{3 x}{\log (3)}\right)}{\log (3)}+2 x+\frac{3 \log ^2(x)}{3 x+\log (3)}-\frac{2 \left(9 \log (x)-9+2 \log ^2(3)+\log (27)-\log (3) \log (9)\right) \log \left(\frac{3 x}{\log (3)}+1\right)}{\log (27)}+3 \log (x) \left(\frac{6 \log \left(\frac{x \log (27)}{\log ^2(3)}+1\right)}{\log (27)}-\frac{\log (x)}{\log (3)}\right)-\frac{-3-\frac{\log ^3(9)}{\log (729)}+\log ^2(3)+\log (9)}{3 x+\log (3)}+\frac{3 (\log (x)-1)^2}{\log (3)}+\frac{2 (\log (3)-3) \log (x)}{3 x+\log (3)}-\frac{2 (\log (3)-3) (\log (x)-\log (3 x+\log (3)))}{\log (3)}","x+\frac{5 (x-\log (x)+1)^2}{x \left(\frac{5 \log (3)}{3 x}+5\right)}",1,"2*x - (-3 + Log[3]^2 + Log[9] - Log[9]^3/Log[729])/(3*x + Log[3]) + (3*(-1 + Log[x])^2)/Log[3] + (2*(-3 + Log[3])*Log[x])/(3*x + Log[3]) + (3*Log[x]^2)/(3*x + Log[3]) - (2*(-9 + 2*Log[3]^2 - Log[3]*Log[9] + Log[27] + 9*Log[x])*Log[1 + (3*x)/Log[3]])/Log[27] - (2*(-3 + Log[3])*(Log[x] - Log[3*x + Log[3]]))/Log[3] + 3*Log[x]*(-(Log[x]/Log[3]) + (6*Log[1 + (x*Log[27])/Log[3]^2])/Log[27]) - (6*PolyLog[2, (-3*x)/Log[3]])/Log[3] + (18*PolyLog[2, -((x*Log[27])/Log[3]^2)])/Log[27]","C",0
3002,1,30,22,0.0249371,"\int \frac{e^e x^2 \log (2)+\left(1-3 x^2-2 x^3\right) \log (2)}{-x+3 x^2-3 x^3+e^e x^3-x^4} \, dx","Integrate[(E^E*x^2*Log[2] + (1 - 3*x^2 - 2*x^3)*Log[2])/(-x + 3*x^2 - 3*x^3 + E^E*x^3 - x^4),x]","\log (2) \left(\log \left(x^3-e^e x^2+3 x^2-3 x+1\right)-\log (x)\right)","\log (2) \log \left(-\left(\left(e^e-x\right) x\right)+3 x+\frac{1}{x}-3\right)",1,"Log[2]*(-Log[x] + Log[1 - 3*x + 3*x^2 - E^E*x^2 + x^3])","A",1
3003,1,22,26,0.0079212,"\int \frac{-2 x+\left(-1+2 x-4 x^2\right) \log (x)+\log (x) \log (5 x)}{x^2 \log (x)} \, dx","Integrate[(-2*x + (-1 + 2*x - 4*x^2)*Log[x] + Log[x]*Log[5*x])/(x^2*Log[x]),x]","-4 x+2 \log (x)-2 \log (\log (x))-\frac{\log (5 x)}{x}","\log \left(\frac{e^3 x^2}{\log ^2(x)}\right)-4 x-\frac{\log (5 x)}{x}+4",1,"-4*x + 2*Log[x] - Log[5*x]/x - 2*Log[Log[x]]","A",1
3004,1,15,16,0.0419097,"\int \frac{3072+6 x^5+e^x \left(1024+3 x^5\right)}{3 x^5+e^x x^5} \, dx","Integrate[(3072 + 6*x^5 + E^x*(1024 + 3*x^5))/(3*x^5 + E^x*x^5),x]","-\frac{256}{x^4}+2 x+\log \left(e^x+3\right)","-\frac{256}{x^4}+2 x+\log \left(e^x+3\right)-6",1,"-256/x^4 + 2*x + Log[3 + E^x]","A",1
3005,1,33,21,0.9026476,"\int \frac{1024-1280 x+640 x^2-160 x^3+20 x^4-x^5+\exp \left(\frac{-1024-768 x+1407 x^2-608 x^3+108 x^4-7 x^5}{256-256 x+96 x^2-16 x^3+x^4}\right) \left(7168-8952 x+4482 x^2-1120 x^3+140 x^4-7 x^5\right)}{-1024+1280 x-640 x^2+160 x^3-20 x^4+x^5} \, dx","Integrate[(1024 - 1280*x + 640*x^2 - 160*x^3 + 20*x^4 - x^5 + E^((-1024 - 768*x + 1407*x^2 - 608*x^3 + 108*x^4 - 7*x^5)/(256 - 256*x + 96*x^2 - 16*x^3 + x^4))*(7168 - 8952*x + 4482*x^2 - 1120*x^3 + 140*x^4 - 7*x^5))/(-1024 + 1280*x - 640*x^2 + 160*x^3 - 20*x^4 + x^5),x]","\exp \left(-7 x-\frac{1}{(x-4)^2}-\frac{8}{(x-4)^3}-\frac{16}{(x-4)^4}-4\right)-x+4","e^{-\frac{x^2}{(x-4)^4}-7 x-4}-x",1,"4 + E^(-4 - 16/(-4 + x)^4 - 8/(-4 + x)^3 - (-4 + x)^(-2) - 7*x) - x","A",1
3006,1,24,22,0.0139488,"\int \frac{18750-1875 e^3+2700 x-675 x^2}{40000+625 e^6+10000 x+4225 x^2+450 x^3+81 x^4+e^3 \left(-10000-1250 x-450 x^2\right)} \, dx","Integrate[(18750 - 1875*E^3 + 2700*x - 675*x^2)/(40000 + 625*E^6 + 10000*x + 4225*x^2 + 450*x^3 + 81*x^4 + E^3*(-10000 - 1250*x - 450*x^2)),x]","-\frac{75 (2-x)}{9 x^2+25 x-25 e^3+200}","\frac{3 (x-2)}{\frac{9 x^2}{25}+x-e^3+8}",1,"(-75*(2 - x))/(200 - 25*E^3 + 25*x + 9*x^2)","A",1
3007,0,0,29,0.6000095,"\int \frac{-8 x^3+\exp \left(\frac{25-70 x+49 x^2+2 x^3+\left(-10 x+14 x^2\right) \log (2)+x^2 \log ^2(2)}{x^2}\right) \left(-400+560 x+16 x^3+80 x \log (2)\right)}{13 x^3+4 \exp \left(\frac{25-70 x+49 x^2+2 x^3+\left(-10 x+14 x^2\right) \log (2)+x^2 \log ^2(2)}{x^2}\right) x^3-4 x^4} \, dx","Integrate[(-8*x^3 + E^((25 - 70*x + 49*x^2 + 2*x^3 + (-10*x + 14*x^2)*Log[2] + x^2*Log[2]^2)/x^2)*(-400 + 560*x + 16*x^3 + 80*x*Log[2]))/(13*x^3 + 4*E^((25 - 70*x + 49*x^2 + 2*x^3 + (-10*x + 14*x^2)*Log[2] + x^2*Log[2]^2)/x^2)*x^3 - 4*x^4),x]","\int \frac{-8 x^3+\exp \left(\frac{25-70 x+49 x^2+2 x^3+\left(-10 x+14 x^2\right) \log (2)+x^2 \log ^2(2)}{x^2}\right) \left(-400+560 x+16 x^3+80 x \log (2)\right)}{13 x^3+4 \exp \left(\frac{25-70 x+49 x^2+2 x^3+\left(-10 x+14 x^2\right) \log (2)+x^2 \log ^2(2)}{x^2}\right) x^3-4 x^4} \, dx","\log \left(\left(-x+e^{2 x+\left(\frac{5}{x}-7-\log (2)\right)^2}+\frac{13}{4}\right)^2\right)",1,"Integrate[(-8*x^3 + E^((25 - 70*x + 49*x^2 + 2*x^3 + (-10*x + 14*x^2)*Log[2] + x^2*Log[2]^2)/x^2)*(-400 + 560*x + 16*x^3 + 80*x*Log[2]))/(13*x^3 + 4*E^((25 - 70*x + 49*x^2 + 2*x^3 + (-10*x + 14*x^2)*Log[2] + x^2*Log[2]^2)/x^2)*x^3 - 4*x^4), x]","F",-1
3008,1,6,34,0.0009452,"\int \frac{-1+x}{x} \, dx","Integrate[(-1 + x)/x,x]","x-\log (x)","x+\log \left(\frac{1}{2} \left(\frac{5 e^{\frac{5}{4} \left(e^{e^3}-2\right)^2}}{x}+\frac{4}{x}\right)\right)-1",1,"x - Log[x]","A",1
3009,1,16,17,0.1153167,"\int \frac{-4+e^x+e (-1+x)}{4-e x+e^x x} \, dx","Integrate[(-4 + E^x + E*(-1 + x))/(4 - E*x + E^x*x),x]","\log \left(e^x x-e x+4\right)-x","-x+\log \left(e^x x-e x+4\right)+1",1,"-x + Log[4 - E*x + E^x*x]","A",1
3010,1,12,13,0.0272618,"\int \frac{e+e^{e^{143+x}} \left(-e-e^{144+x} x\right)}{e} \, dx","Integrate[(E + E^E^(143 + x)*(-E - E^(144 + x)*x))/E,x]","x-e^{e^{x+143}} x","-e^{e^{x+143}} x+x+5",1,"x - E^E^(143 + x)*x","A",1
3011,1,33,29,0.0819253,"\int \frac{72 x^2+8 x^3-144 x^4+\left(-30-10 x+180 x^2\right) \log (4)+\left(24 x^2-30 \log (4)\right) \log \left(\frac{-4 x^2+5 \log (4)}{\log (4)}\right)}{-4 x^2+5 \log (4)} \, dx","Integrate[(72*x^2 + 8*x^3 - 144*x^4 + (-30 - 10*x + 180*x^2)*Log[4] + (24*x^2 - 30*Log[4])*Log[(-4*x^2 + 5*Log[4])/Log[4]])/(-4*x^2 + 5*Log[4]),x]","2 \left(6 x^3-\frac{x^2}{2}-3 x \log \left(5-\frac{4 x^2}{\log (4)}\right)-3 x\right)","x \left(6 \left(2 x^2-\log \left(5-\frac{4 x^2}{\log (4)}\right)-1\right)-x\right)",1,"2*(-3*x - x^2/2 + 6*x^3 - 3*x*Log[5 - (4*x^2)/Log[4]])","A",1
3012,1,34,31,0.1138992,"\int \frac{-8+10 e^3 x^2+e^{-2+x} \left(4+e^3 \left(-10 x+5 x^2\right)\right)+x^{x^2} \left(-10+e^{-2+x} (5-5 x)+10 x^2+\left(-10 e^{-2+x} x+20 x^2\right) \log (x)\right)}{e^{-4+2 x}-4 e^{-2+x} x+4 x^2} \, dx","Integrate[(-8 + 10*E^3*x^2 + E^(-2 + x)*(4 + E^3*(-10*x + 5*x^2)) + x^x^2*(-10 + E^(-2 + x)*(5 - 5*x) + 10*x^2 + (-10*E^(-2 + x)*x + 20*x^2)*Log[x]))/(E^(-4 + 2*x) - 4*E^(-2 + x)*x + 4*x^2),x]","-\frac{e^2 \left(5 e^3 x^2+5 x^{x^2}+4\right)}{e^x-2 e^2 x}","\frac{5 \left(e^3 x^2+x^{x^2}\right)+4}{2 x-e^{x-2}}",1,"-((E^2*(4 + 5*E^3*x^2 + 5*x^x^2))/(E^x - 2*E^2*x))","A",1
3013,1,30,23,1.24098,"\int \frac{-1-5 e^{2-x}-\log \left(x \log \left(\frac{17}{7}\right)\right)}{25 e^{4-2 x}-10 e^{2-x} \log (4)+\log ^2(4)+\left(-10 e^{2-x} x+2 x \log (4)\right) \log \left(x \log \left(\frac{17}{7}\right)\right)+x^2 \log ^2\left(x \log \left(\frac{17}{7}\right)\right)} \, dx","Integrate[(-1 - 5*E^(2 - x) - Log[x*Log[17/7]])/(25*E^(4 - 2*x) - 10*E^(2 - x)*Log[4] + Log[4]^2 + (-10*E^(2 - x)*x + 2*x*Log[4])*Log[x*Log[17/7]] + x^2*Log[x*Log[17/7]]^2),x]","\frac{e^x}{e^x x \log \left(x \log \left(\frac{17}{7}\right)\right)+e^x \log (4)-5 e^2}","\frac{1}{-5 e^{2-x}+x \log \left(x \log \left(\frac{17}{7}\right)\right)+\log (4)}",1,"E^x/(-5*E^2 + E^x*Log[4] + E^x*x*Log[x*Log[17/7]])","A",1
3014,1,17,17,0.1534326,"\int \frac{e^{5-e^{\frac{1}{x}}+x-x^2} \left(e^{\frac{1}{x}}+x^2-2 x^3\right)}{x^2} \, dx","Integrate[(E^(5 - E^x^(-1) + x - x^2)*(E^x^(-1) + x^2 - 2*x^3))/x^2,x]","e^{-x^2+x-e^{\frac{1}{x}}+5}","e^{-x^2+x-e^{\frac{1}{x}}+5}",1,"E^(5 - E^x^(-1) + x - x^2)","A",1
3015,1,16,22,0.0194235,"\int \frac{-562500-130000 \log (x)-10200 \log ^2(x)-336 \log ^3(x)-4 \log ^4(x)+\left(-337500-64500 \log (x)-3540 \log ^2(x)-60 \log ^3(x)\right) \log (4+\log (x))+\left(-67500-10200 \log (x)-300 \log ^2(x)\right) \log ^2(4+\log (x))+(-4500-500 \log (x)) \log ^3(4+\log (x))}{4 x+x \log (x)} \, dx","Integrate[(-562500 - 130000*Log[x] - 10200*Log[x]^2 - 336*Log[x]^3 - 4*Log[x]^4 + (-337500 - 64500*Log[x] - 3540*Log[x]^2 - 60*Log[x]^3)*Log[4 + Log[x]] + (-67500 - 10200*Log[x] - 300*Log[x]^2)*Log[4 + Log[x]]^2 + (-4500 - 500*Log[x])*Log[4 + Log[x]]^3)/(4*x + x*Log[x]),x]","-(\log (x)+5 (\log (\log (x)+4)+5))^4","-(\log (x)-5 (-\log (\log (x)+4)-5))^4-\frac{1}{4}",1,"-(Log[x] + 5*(5 + Log[4 + Log[x]]))^4","A",1
3016,1,27,31,0.317231,"\int \frac{-1+16 x+6 x^2-2 x^3-x^4+e^{2 x} \left(-7+2 x^2\right)}{16+e^{4 x}-8 x-31 x^2+18 x^4+8 x^5+x^6+e^{2 x} \left(8-2 x-8 x^2-2 x^3\right)} \, dx","Integrate[(-1 + 16*x + 6*x^2 - 2*x^3 - x^4 + E^(2*x)*(-7 + 2*x^2))/(16 + E^(4*x) - 8*x - 31*x^2 + 18*x^4 + 8*x^5 + x^6 + E^(2*x)*(8 - 2*x - 8*x^2 - 2*x^3)),x]","\frac{x^2+x-3}{x^3+4 x^2+x-e^{2 x}-4}","\frac{x}{x^2+\left(\frac{x-e^{2 x}+5}{x^2+x-3}+3\right) x}",1,"(-3 + x + x^2)/(-4 - E^(2*x) + x + 4*x^2 + x^3)","A",1
3017,1,19,23,0.1008859,"\int \frac{e^{-21+4 x} \left(4-22 x+8 x^2\right)}{-200 x^2+300 x^3-150 x^4+25 x^5} \, dx","Integrate[(E^(-21 + 4*x)*(4 - 22*x + 8*x^2))/(-200*x^2 + 300*x^3 - 150*x^4 + 25*x^5),x]","\frac{2 e^{4 x-21}}{25 (x-2)^2 x}","\frac{2 e^{4 x-21} x}{25 ((x-1) x-x)^2}",1,"(2*E^(-21 + 4*x))/(25*(-2 + x)^2*x)","A",1
3018,1,22,27,0.0291557,"\int \frac{6-6 x-6 x^2+4 x^3+e^x \left(4 x-x^2-x^3\right)}{9 e^3} \, dx","Integrate[(6 - 6*x - 6*x^2 + 4*x^3 + E^x*(4*x - x^2 - x^3))/(9*E^3),x]","\frac{(x-2) x \left(x^2-e^x x-3\right)}{9 e^3}","\frac{(2-x) \left(-x+e^x+\frac{3}{x}\right) x^2}{9 e^3}",1,"((-2 + x)*x*(-3 - E^x*x + x^2))/(9*E^3)","A",1
3019,1,27,24,0.1299321,"\int \exp \left(-2 e^4+e^{-2 e^4} \left(-3 e^{3+2 e^4}-3 x+3 x^2\right)\right) (-3+6 x) \, dx","Integrate[E^(-2*E^4 + (-3*E^(3 + 2*E^4) - 3*x + 3*x^2)/E^(2*E^4))*(-3 + 6*x),x]","e^{-3 e^{-2 e^4} \left(-x^2+x+e^{3+2 e^4}\right)}","e^{3 \left(e^{-2 e^4} (x-1) x-e^3\right)}+2",1,"E^((-3*(E^(3 + 2*E^4) + x - x^2))/E^(2*E^4))","A",1
3020,1,15,15,0.0046776,"\int -\frac{32\ 3^{-2/x} \log (3)}{x^2} \, dx","Integrate[(-32*Log[3])/(3^(2/x)*x^2),x]","-\frac{32\ 9^{-1/x} \log (3)}{\log (9)}","3 \left(-16\ 3^{-\frac{2}{x}-1}-2\right)",1,"(-32*Log[3])/(9^x^(-1)*Log[9])","A",1
3021,1,18,18,0.1007913,"\int \frac{e^{-x} \left(2+2 x+x^2-x^2 \log \left(x^2\right)+\left(2+x-x \log \left(x^2\right)\right) \log (\log (3))\right)}{x} \, dx","Integrate[(2 + 2*x + x^2 - x^2*Log[x^2] + (2 + x - x*Log[x^2])*Log[Log[3]])/(E^x*x),x]","e^{-x} \left(\log \left(x^2\right)-1\right) (x+1+\log (\log (3)))","e^{-x} \left(\log \left(x^2\right)-1\right) (x+1+\log (\log (3)))",1,"((-1 + Log[x^2])*(1 + x + Log[Log[3]]))/E^x","A",1
3022,1,11,19,0.0021305,"\int \frac{-\log (5)+\log (5) \log (4 x)}{x^2} \, dx","Integrate[(-Log[5] + Log[5]*Log[4*x])/x^2,x]","-\frac{\log (5) \log (4 x)}{x}","-\frac{\log (5) \log (4 x)}{x}+3-\log ^2(4)",1,"-((Log[5]*Log[4*x])/x)","A",1
3023,1,64,35,0.4141547,"\int \frac{-5 \log (3)+\left(x-12 x^6-9 x^9\right) \log ^2(x)}{-5 x \log (3) \log (x)+\left(-x^2+2 x^7+x^{10}\right) \log ^2(x)} \, dx","Integrate[(-5*Log[3] + (x - 12*x^6 - 9*x^9)*Log[x]^2)/(-5*x*Log[3]*Log[x] + (-x^2 + 2*x^7 + x^10)*Log[x]^2),x]","-\log \left(x^9 (-\log (x))-2 x^6 \log (x)+x \log (x)+5 \log (3)\right)-\log \left(-x^8-2 x^5+1\right)+\log \left(x \left(-x^8-2 x^5+1\right)\right)-\log (x)+\log (\log (x))","\log \left(\frac{4}{\frac{x-x \left(\left(x^4+x\right)^2-x^2\right)}{\log (3)}+\frac{5}{\log (x)}}\right)",1,"-Log[x] - Log[1 - 2*x^5 - x^8] + Log[x*(1 - 2*x^5 - x^8)] + Log[Log[x]] - Log[5*Log[3] + x*Log[x] - 2*x^6*Log[x] - x^9*Log[x]]","A",1
3024,1,21,23,0.1154275,"\int \frac{-16 \log (3)+\exp \left(4+e^{\frac{x+(e+x) \log (3)}{\log (3)}}+\frac{x+(e+x) \log (3)}{\log (3)}\right) (16+16 \log (3))}{\log (3)} \, dx","Integrate[(-16*Log[3] + E^(4 + E^((x + (E + x)*Log[3])/Log[3]) + (x + (E + x)*Log[3])/Log[3])*(16 + 16*Log[3]))/Log[3],x]","16 \left(e^{e^{x+\frac{x}{\log (3)}+e}+4}-x\right)","16 \left(e^{e^{x+\frac{x}{\log (3)}+e}+4}-x\right)+2",1,"16*(E^(4 + E^(E + x + x/Log[3])) - x)","A",1
3025,1,48,36,0.0926057,"\int \frac{\exp \left(-\frac{-16 x^3-12 x^4+8 x^5-x^6+\left(16 x+32 x^2-8 x^3\right) \log (x)-16 \log ^2(x)}{4 x}\right) \left(-12 x-32 x^2+40 x^3+36 x^4-32 x^5+5 x^6+\left(32-32 x^2+16 x^3\right) \log (x)-16 \log ^2(x)\right)}{20 x} \, dx","Integrate[(-12*x - 32*x^2 + 40*x^3 + 36*x^4 - 32*x^5 + 5*x^6 + (32 - 32*x^2 + 16*x^3)*Log[x] - 16*Log[x]^2)/(20*E^((-16*x^3 - 12*x^4 + 8*x^5 - x^6 + (16*x + 32*x^2 - 8*x^3)*Log[x] - 16*Log[x]^2)/(4*x))*x),x]","\frac{1}{5} x^{2 (x-4) x-3} e^{\frac{x^5}{4}-2 x^4+3 x^3+4 x^2+\frac{4 \log ^2(x)}{x}}","\frac{1}{5} x e^{\frac{\left(x \left(\frac{x^2}{2}-2 x-1\right)+2 \log (x)\right)^2}{x}-x}",1,"(E^(4*x^2 + 3*x^3 - 2*x^4 + x^5/4 + (4*Log[x]^2)/x)*x^(-3 + 2*(-4 + x)*x))/5","A",1
3026,1,21,25,0.0065216,"\int \frac{-16 x-x^2}{e^{11} \left(-512-128 x-8 x^2\right)+e^{16} \left(64+16 x+x^2\right)+e^6 \left(1024+256 x+16 x^2\right)} \, dx","Integrate[(-16*x - x^2)/(E^11*(-512 - 128*x - 8*x^2) + E^16*(64 + 16*x + x^2) + E^6*(1024 + 256*x + 16*x^2)),x]","-\frac{x+\frac{64}{x+8}}{e^6 \left(e^5-4\right)^2}","\frac{x^2}{e^6 \left(e^5-4\right)^2 (-x-8)}+e^3",1,"-((x + 64/(8 + x))/(E^6*(-4 + E^5)^2))","A",1
3027,1,14,17,0.0048886,"\int \frac{-8+12 e+9 x}{-4 x+6 e x+3 x^2} \, dx","Integrate[(-8 + 12*E + 9*x)/(-4*x + 6*E*x + 3*x^2),x]","\log (-3 x-6 e+4)+2 \log (x)","\log \left(\left(\frac{x}{2}+e-\frac{2}{3}\right) x^2\right)+5",1,"Log[4 - 6*E - 3*x] + 2*Log[x]","A",1
3028,1,18,21,0.0114869,"\int \frac{-e^{3+x} x+e^3 \left(-1+x+2 x^2\right)}{x} \, dx","Integrate[(-(E^(3 + x)*x) + E^3*(-1 + x + 2*x^2))/x,x]","e^3 \left(x^2+x-e^x-\log (x)\right)","e^3 \left(x^2+x-e^x+\log \left(\frac{2}{x}\right)-1\right)",1,"E^3*(-E^x + x + x^2 - Log[x])","A",1
3029,1,15,19,0.052029,"\int \frac{-5 x^4+\left(1+30 x^5\right) \log (x)-25 x^4 \log (x) \log (\log (x))}{\log (x)} \, dx","Integrate[(-5*x^4 + (1 + 30*x^5)*Log[x] - 25*x^4*Log[x]*Log[Log[x]])/Log[x],x]","5 x^6-5 x^5 \log (\log (x))+x","5 x^6 \left(2-\frac{x+\log (\log (x))}{x}\right)+x",1,"x + 5*x^6 - 5*x^5*Log[Log[x]]","A",1
3030,1,16,17,0.0072465,"\int e^{-4 x} \left(4+e^{4 x} \left(2+7 e^x\right)\right) \, dx","Integrate[(4 + E^(4*x)*(2 + 7*E^x))/E^(4*x),x]","2 x-e^{-4 x}+7 e^x","2 x-e^{-4 x}+7 e^x+2",1,"-E^(-4*x) + 7*E^x + 2*x","A",1
3031,1,47,25,0.0533732,"\int \frac{40-100 x-100 x^2-54 x^3+10 x^4-2 x^5-5 x^6+e^e \left(200+80 x+8 x^2-50 x^4-20 x^5-2 x^6\right)}{-200-80 x+292 x^2+120 x^3-138 x^4-60 x^5+19 x^6+10 x^7+x^8} \, dx","Integrate[(40 - 100*x - 100*x^2 - 54*x^3 + 10*x^4 - 2*x^5 - 5*x^6 + E^E*(200 + 80*x + 8*x^2 - 50*x^4 - 20*x^5 - 2*x^6))/(-200 - 80*x + 292*x^2 + 120*x^3 - 138*x^4 - 60*x^5 + 19*x^6 + 10*x^7 + x^8),x]","\frac{5 x^4+x^3-15 x^2+2 e^e \left(x^3+5 x^2-2 x-10\right) x+20}{(x+5) \left(x^2-2\right)^2}","\left(\frac{1}{x-\frac{2}{x}}+e^e\right)^2-\frac{x}{x+5}+2",1,"(20 - 15*x^2 + x^3 + 5*x^4 + 2*E^E*x*(-10 - 2*x + 5*x^2 + x^3))/((5 + x)*(-2 + x^2)^2)","A",1
3032,1,23,23,0.0935216,"\int \frac{-8-2 x+8 x^2}{-4 x-6 x^2-4 x^3+x^2 \log (x)} \, dx","Integrate[(-8 - 2*x + 8*x^2)/(-4*x - 6*x^2 - 4*x^3 + x^2*Log[x]),x]","2 \log (x)-2 \log \left(4 x^2+6 x-x \log (x)+4\right)","\log \left(\frac{4}{\left(2 x+2 (x+3)+\frac{4}{x}-\log (x)\right)^2}\right)",1,"2*Log[x] - 2*Log[4 + 6*x + 4*x^2 - x*Log[x]]","A",1
3033,1,18,21,0.1119912,"\int \left(3 x^2+36 x^3+120 x^4+96 x^5+e^x \left(-8 x^3-52 x^4-58 x^5-8 x^6\right)+e^{2 x} \left(5 x^4+8 x^5+2 x^6\right)\right) \, dx","Integrate[3*x^2 + 36*x^3 + 120*x^4 + 96*x^5 + E^x*(-8*x^3 - 52*x^4 - 58*x^5 - 8*x^6) + E^(2*x)*(5*x^4 + 8*x^5 + 2*x^6),x]","x^3 (x+1) \left(\left(e^x-4\right) x-1\right)^2","\left(x^2+x\right) \left(\left(4-e^x\right) x^2+x\right)^2",1,"x^3*(1 + x)*(-1 + (-4 + E^x)*x)^2","A",1
3034,1,36,29,0.0993077,"\int \frac{\exp \left(\frac{1+x-3 x^3-6 x^4-3 x^5}{5 e^x x^2-5 x^3}\right) \left(3 x+2 x^2+6 x^5+6 x^6+e^x \left(-2-2 x-x^2-3 x^3-9 x^4-3 x^5+3 x^6\right)\right)}{5 e^{2 x} x^3-10 e^x x^4+5 x^5} \, dx","Integrate[(E^((1 + x - 3*x^3 - 6*x^4 - 3*x^5)/(5*E^x*x^2 - 5*x^3))*(3*x + 2*x^2 + 6*x^5 + 6*x^6 + E^x*(-2 - 2*x - x^2 - 3*x^3 - 9*x^4 - 3*x^5 + 3*x^6)))/(5*E^(2*x)*x^3 - 10*E^x*x^4 + 5*x^5),x]","\exp \left(\frac{-3 x^5-6 x^4-3 x^3+x+1}{5 \left(e^x-x\right) x^2}\right)","\exp \left(\frac{(x+1) \left(\frac{1}{x^2}-3 \left(x^2+x\right)\right)}{5 \left(e^x-x\right)}\right)",1,"E^((1 + x - 3*x^3 - 6*x^4 - 3*x^5)/(5*(E^x - x)*x^2))","A",1
3035,1,41,32,0.1075825,"\int \frac{e^{-x} \left(1+e^x x-x \log (x)+\left(4-16 x^2 \log (5)-8 x^4 \log ^2(5)\right) \log \left(e^{-4-4 x^2 \log (5)-x^4 \log ^2(5)} x^2\right)-x \log ^2\left(e^{-4-4 x^2 \log (5)-x^4 \log ^2(5)} x^2\right)\right)}{x} \, dx","Integrate[(1 + E^x*x - x*Log[x] + (4 - 16*x^2*Log[5] - 8*x^4*Log[5]^2)*Log[E^(-4 - 4*x^2*Log[5] - x^4*Log[5]^2)*x^2] - x*Log[E^(-4 - 4*x^2*Log[5] - x^4*Log[5]^2)*x^2]^2)/(E^x*x),x]","e^{-x} \left(\log ^2\left(5^{-4 x^2} x^2 e^{x^4 \left(-\log ^2(5)\right)-4}\right)+e^x x+\log (x)\right)","e^{-x} \left(\log ^2\left(x^2 e^{-\left(x^2 \log (5)+2\right)^2}\right)+\log (x)\right)+x",1,"(E^x*x + Log[x] + Log[(E^(-4 - x^4*Log[5]^2)*x^2)/5^(4*x^2)]^2)/E^x","A",1
3036,1,19,32,5.0238497,"\int \frac{-15 x+\left(-300+100 x-15 x^2+5 x^3\right) \log ^2\left(\frac{3-x}{x}\right)}{\left(-3 x^2+x^3\right) \log ^2\left(\frac{3-x}{x}\right)} \, dx","Integrate[(-15*x + (-300 + 100*x - 15*x^2 + 5*x^3)*Log[(3 - x)/x]^2)/((-3*x^2 + x^3)*Log[(3 - x)/x]^2),x]","5 \left(x-\frac{20}{x}+\frac{1}{\log \left(\frac{3}{x}-1\right)}\right)","6 x-\frac{(x+10)^2-x}{x}+\frac{5}{\log \left(\frac{3-x}{x}\right)}",1,"5*(-20/x + x + Log[-1 + 3/x]^(-1))","A",1
3037,1,67,21,0.0678416,"\int \frac{(60-120 e x) \log (5)+(-40+60 e x) \log (5) \log \left(\frac{2-3 e x}{3 x}\right)}{-2 x^3+3 e x^4} \, dx","Integrate[((60 - 120*E*x)*Log[5] + (-40 + 60*E*x)*Log[5]*Log[(2 - 3*E*x)/(3*x)])/(-2*x^3 + 3*E*x^4),x]","20 \log (5) \left(\frac{1}{x^2}-\frac{\log \left(\frac{2}{3 x}-e\right)}{2 x^2}+\frac{9}{8} e^2 \log \left(3 e-\frac{2}{x}\right)+\frac{9}{8} e^2 \log (x)-\frac{9}{8} e^2 \log (2-3 e x)\right)","-\frac{10 \log (5) \left(\log \left(\frac{2}{3 x}-e\right)-2\right)}{x^2}",1,"20*Log[5]*(x^(-2) + (9*E^2*Log[3*E - 2/x])/8 - Log[-E + 2/(3*x)]/(2*x^2) + (9*E^2*Log[x])/8 - (9*E^2*Log[2 - 3*E*x])/8)","B",1
3038,1,29,29,0.0312527,"\int \frac{1}{4} \left(24+e^{\frac{1}{4} \left(16+\frac{3}{e^4 x}\right)} \left(-4+\frac{3}{e^4 x}\right)+8 x+e^x (4+4 x)\right) \, dx","Integrate[(24 + E^((16 + 3/(E^4*x))/4)*(-4 + 3/(E^4*x)) + 8*x + E^x*(4 + 4*x))/4,x]","x^2-e^{\frac{3}{4 e^4 x}+4} x+e^x x+6 x","x-\left(-x+e^{\frac{3}{4 e^4 x}+4}-e^x-5\right) x",1,"6*x - E^(4 + 3/(4*E^4*x))*x + E^x*x + x^2","A",1
3039,1,50,28,0.0358687,"\int \frac{-4+2 x-48 x^2+24 x^3+4 e^{10} x^3-192 x^4+96 x^5-256 x^6+128 x^7+e^5 \left(6 x^2+32 x^4+32 x^6\right)}{1+12 x^2+48 x^4+64 x^6} \, dx","Integrate[(-4 + 2*x - 48*x^2 + 24*x^3 + 4*E^10*x^3 - 192*x^4 + 96*x^5 - 256*x^6 + 128*x^7 + E^5*(6*x^2 + 32*x^4 + 32*x^6))/(1 + 12*x^2 + 48*x^4 + 64*x^6),x]","2 \left(-\frac{e^{10} \left(8 x^2+1\right)}{32 \left(4 x^2+1\right)^2}+\frac{e^5 x^3}{4 x^2+1}+\frac{1}{2} (x-4) x\right)","\left(\frac{e^5 x^2}{4 x^2+1}+x\right)^2-4 x-\log (3)",1,"2*(((-4 + x)*x)/2 + (E^5*x^3)/(1 + 4*x^2) - (E^10*(1 + 8*x^2))/(32*(1 + 4*x^2)^2))","A",1
3040,1,8,11,0.0013983,"\int \frac{-75-25 x}{x} \, dx","Integrate[(-75 - 25*x)/x,x]","-25 (x+3 \log (x))","-25 \log \left(12 e^x x^3\right)",1,"-25*(x + 3*Log[x])","A",1
3041,1,24,23,1.3729751,"\int \frac{1}{5} e^{-x} x^{-1+\frac{1}{5} e^{-x} \left(6+24 x+75 e^x x^2\right)} \left(6+24 x+75 e^x x^2+\left(18 x-24 x^2+150 e^x x^2\right) \log (x)\right) \, dx","Integrate[(x^(-1 + (6 + 24*x + 75*E^x*x^2)/(5*E^x))*(6 + 24*x + 75*E^x*x^2 + (18*x - 24*x^2 + 150*E^x*x^2)*Log[x]))/(5*E^x),x]","x^{\frac{3}{5} e^{-x} \left(25 e^x x^2+8 x+2\right)}","x^{3 x \left(\frac{2}{5} e^{-x} \left(\frac{1}{x}+4\right)+5 x\right)}",1,"x^((3*(2 + 8*x + 25*E^x*x^2))/(5*E^x))","A",1
3042,1,30,28,0.1285019,"\int \frac{e^{\left.-\frac{3}{2}\right/x} \left(e^{\left.\frac{3}{2}\right/x} \left(480 x^3-320 x^4\right)+e^{e^{\left.-\frac{3}{2}\right/x} \left(-3+e^{\left.\frac{3}{2}\right/x} x\right)} \left(-81+216 x-144 x^2+e^{\left.\frac{3}{2}\right/x} \left(18 x^2-48 x^3+32 x^4\right)\right)\right)}{18 x^2-48 x^3+32 x^4} \, dx","Integrate[(E^(3/(2*x))*(480*x^3 - 320*x^4) + E^((-3 + E^(3/(2*x))*x)/E^(3/(2*x)))*(-81 + 216*x - 144*x^2 + E^(3/(2*x))*(18*x^2 - 48*x^3 + 32*x^4)))/(E^(3/(2*x))*(18*x^2 - 48*x^3 + 32*x^4)),x]","-10 x+e^{x-3 e^{\left.-\frac{3}{2}\right/x}}-\frac{45}{2 (4 x-3)}","e^{x-3 e^{\left.-\frac{3}{2}\right/x}}-\frac{10 x^2}{x-\frac{3}{4}}",1,"E^(-3/E^(3/(2*x)) + x) - 10*x - 45/(2*(-3 + 4*x))","A",1
3043,1,53,38,0.2357282,"\int \frac{-15 x^3+10 x^4-x^5+e^x \left(-250+100 x-260 x^2+100 x^3-10 x^4\right)+e^{2 x} \left(50 x^3-20 x^4+2 x^5\right)+\left(-15 x+10 x^2-x^3+e^x \left(250-100 x+10 x^2\right)+e^{2 x} \left(50 x-20 x^2+2 x^3\right)\right) \log (x)+\left(1250-500 x+1300 x^2-500 x^3+50 x^4+e^x \left(-250 x^3+100 x^4-10 x^5\right)+\left(-1250+500 x-50 x^2+e^x \left(-250 x+100 x^2-10 x^3\right)\right) \log (x)\right) \log \left(\frac{x^2+\log (x)}{2 x}\right)}{25 x^3-10 x^4+x^5+\left(25 x-10 x^2+x^3\right) \log (x)} \, dx","Integrate[(-15*x^3 + 10*x^4 - x^5 + E^x*(-250 + 100*x - 260*x^2 + 100*x^3 - 10*x^4) + E^(2*x)*(50*x^3 - 20*x^4 + 2*x^5) + (-15*x + 10*x^2 - x^3 + E^x*(250 - 100*x + 10*x^2) + E^(2*x)*(50*x - 20*x^2 + 2*x^3))*Log[x] + (1250 - 500*x + 1300*x^2 - 500*x^3 + 50*x^4 + E^x*(-250*x^3 + 100*x^4 - 10*x^5) + (-1250 + 500*x - 50*x^2 + E^x*(-250*x + 100*x^2 - 10*x^3))*Log[x])*Log[(x^2 + Log[x])/(2*x)])/(25*x^3 - 10*x^4 + x^5 + (25*x - 10*x^2 + x^3)*Log[x]),x]","25 \log ^2\left(\frac{x^2+\log (x)}{2 x}\right)-10 e^x \log \left(\frac{x^2+\log (x)}{2 x}\right)+e^{2 x}-x-\frac{10}{x-5}","\frac{2 x}{5-x}-x+\left(5 \log \left(\frac{1}{2} \left(x+\frac{\log (x)}{x}\right)\right)-e^x\right)^2-2",1,"E^(2*x) - 10/(-5 + x) - x - 10*E^x*Log[(x^2 + Log[x])/(2*x)] + 25*Log[(x^2 + Log[x])/(2*x)]^2","A",1
3044,1,59,25,0.0320732,"\int \frac{-10+40 x-x^2+8 x^3+5898240 x^7-11796480 x^8+15040512 x^9-15777792 x^{10}+11934720 x^{11}-5999616 x^{12}+1975680 x^{13}-422208 x^{14}+56538 x^{15}-4320 x^{16}+144 x^{17}}{-x^3+4 x^4+589824 x^{10}-1179648 x^{11}+1032192 x^{12}-516096 x^{13}+161280 x^{14}-32256 x^{15}+4032 x^{16}-288 x^{17}+9 x^{18}} \, dx","Integrate[(-10 + 40*x - x^2 + 8*x^3 + 5898240*x^7 - 11796480*x^8 + 15040512*x^9 - 15777792*x^10 + 11934720*x^11 - 5999616*x^12 + 1975680*x^13 - 422208*x^14 + 56538*x^15 - 4320*x^16 + 144*x^17)/(-x^3 + 4*x^4 + 589824*x^10 - 1179648*x^11 + 1032192*x^12 - 516096*x^13 + 161280*x^14 - 32256*x^15 + 4032*x^16 - 288*x^17 + 9*x^18),x]","-\frac{5}{x^2}+\log \left(-9 x^{15}+288 x^{14}-4032 x^{13}+32256 x^{12}-161280 x^{11}+516096 x^{10}-1032192 x^9+1179648 x^8-589824 x^7-4 x+1\right)+\log (x)","-\frac{5}{x^2}+\log \left(-9 (x-4)^8 x^8-4 x^2+x\right)+4",1,"-5/x^2 + Log[x] + Log[1 - 4*x - 589824*x^7 + 1179648*x^8 - 1032192*x^9 + 516096*x^10 - 161280*x^11 + 32256*x^12 - 4032*x^13 + 288*x^14 - 9*x^15]","B",1
3045,1,28,24,0.0789801,"\int \frac{15-8 \log \left(x^2\right)+\log ^2\left(x^2\right)+\left(-64+128 x-64 x^2+\left(16-32 x+16 x^2\right) \log \left(x^2\right)\right) \log ^3\left(-15+8 \log \left(x^2\right)-\log ^2\left(x^2\right)\right)+\left(-30 x+30 x^2+\left(16 x-16 x^2\right) \log \left(x^2\right)+\left(-2 x+2 x^2\right) \log ^2\left(x^2\right)\right) \log ^4\left(-15+8 \log \left(x^2\right)-\log ^2\left(x^2\right)\right)}{15 x-8 x \log \left(x^2\right)+x \log ^2\left(x^2\right)} \, dx","Integrate[(15 - 8*Log[x^2] + Log[x^2]^2 + (-64 + 128*x - 64*x^2 + (16 - 32*x + 16*x^2)*Log[x^2])*Log[-15 + 8*Log[x^2] - Log[x^2]^2]^3 + (-30*x + 30*x^2 + (16*x - 16*x^2)*Log[x^2] + (-2*x + 2*x^2)*Log[x^2]^2)*Log[-15 + 8*Log[x^2] - Log[x^2]^2]^4)/(15*x - 8*x*Log[x^2] + x*Log[x^2]^2),x]","(x-1)^2 \log ^4\left(-\log ^2\left(x^2\right)+8 \log \left(x^2\right)-15\right)+\log (x)","(x-1)^2 \log ^4\left(1-\left(\log \left(x^2\right)-4\right)^2\right)+\log (x)",1,"Log[x] + (-1 + x)^2*Log[-15 + 8*Log[x^2] - Log[x^2]^2]^4","A",1
3046,1,26,23,0.3786021,"\int \frac{-30 e^{2 \log ^2(x)}+e^{\log ^2(x)} (-20+40 \log (x))}{4 x^2+e^{2 \log ^2(x)} \left(1-6 x+9 x^2\right)+e^{\log ^2(x)} \left(-4 x+12 x^2\right)} \, dx","Integrate[(-30*E^(2*Log[x]^2) + E^Log[x]^2*(-20 + 40*Log[x]))/(4*x^2 + E^(2*Log[x]^2)*(1 - 6*x + 9*x^2) + E^Log[x]^2*(-4*x + 12*x^2)),x]","\frac{10 e^{\log ^2(x)}}{2 x+(3 x-1) e^{\log ^2(x)}}","\frac{5}{\frac{x-1}{2}+x+x e^{-\log ^2(x)}}",1,"(10*E^Log[x]^2)/(2*x + E^Log[x]^2*(-1 + 3*x))","A",1
3047,1,24,27,0.2007104,"\int \frac{792+e^{3 x} (-4+x)+177 x-150 x^2+e^{2 x} (-36+9 x)+e^x \left(-408-323 x+50 x^3\right)}{-81+e^{3 x} (-3+x)+27 x+e^{2 x} (-27+9 x)+e^x (-81+27 x)} \, dx","Integrate[(792 + E^(3*x)*(-4 + x) + 177*x - 150*x^2 + E^(2*x)*(-36 + 9*x) + E^x*(-408 - 323*x + 50*x^3))/(-81 + E^(3*x)*(-3 + x) + 27*x + E^(2*x)*(-27 + 9*x) + E^x*(-81 + 27*x)),x]","-\frac{25 (x+2)^2}{\left(e^x+3\right)^2}+x-\log (3-x)","-\frac{25 (x+2)^2}{\left(e^x+3\right)^2}+x-\log (3 (x-4)+x)+1",1,"x - (25*(2 + x)^2)/(3 + E^x)^2 - Log[3 - x]","A",1
3048,1,253,32,0.2972673,"\int \frac{720 x^4-840 x^5+245 x^6+e^8 \left(12+432 x^2-504 x^3+147 x^4\right)+e^4 \left(-1152 x^3+1344 x^4-392 x^5\right)}{144 x^5-168 x^6+49 x^7+e^8 \left(12 x-7 x^2+144 x^3-168 x^4+49 x^5\right)+e^4 \left(-288 x^4+336 x^5-98 x^6\right)} \, dx","Integrate[(720*x^4 - 840*x^5 + 245*x^6 + E^8*(12 + 432*x^2 - 504*x^3 + 147*x^4) + E^4*(-1152*x^3 + 1344*x^4 - 392*x^5))/(144*x^5 - 168*x^6 + 49*x^7 + E^8*(12*x - 7*x^2 + 144*x^3 - 168*x^4 + 49*x^5) + E^4*(-288*x^4 + 336*x^5 - 98*x^6)),x]","12 \text{RootSum}\left[7 \text{$\#$1}^5-14 e^4 \text{$\#$1}^4-12 \text{$\#$1}^4+7 e^8 \text{$\#$1}^3+24 e^4 \text{$\#$1}^3-12 e^8 \text{$\#$1}^2-e^8\&,\frac{e^4 \log (x-\text{$\#$1})-\text{$\#$1} \log (x-\text{$\#$1})}{-35 \text{$\#$1}^2+21 e^4 \text{$\#$1}+48 \text{$\#$1}-24 e^4}\&\right]+\text{RootSum}\left[7 \text{$\#$1}^5-14 e^4 \text{$\#$1}^4-12 \text{$\#$1}^4+7 e^8 \text{$\#$1}^3+24 e^4 \text{$\#$1}^3-12 e^8 \text{$\#$1}^2-e^8\&,\frac{-35 \text{$\#$1}^2 \log (x-\text{$\#$1})+21 e^4 \text{$\#$1} \log (x-\text{$\#$1})+60 \text{$\#$1} \log (x-\text{$\#$1})-36 e^4 \log (x-\text{$\#$1})}{-35 \text{$\#$1}^2+21 e^4 \text{$\#$1}+48 \text{$\#$1}-24 e^4}\&\right]-\log (12-7 x)+\log (x)","\log \left(x \left(x-\frac{x^2}{e^4}\right)^2-\frac{x}{4 (2 x-3)-x}\right)",1,"-Log[12 - 7*x] + Log[x] + 12*RootSum[-E^8 - 12*E^8*#1^2 + 24*E^4*#1^3 + 7*E^8*#1^3 - 12*#1^4 - 14*E^4*#1^4 + 7*#1^5 & , (E^4*Log[x - #1] - Log[x - #1]*#1)/(-24*E^4 + 48*#1 + 21*E^4*#1 - 35*#1^2) & ] + RootSum[-E^8 - 12*E^8*#1^2 + 24*E^4*#1^3 + 7*E^8*#1^3 - 12*#1^4 - 14*E^4*#1^4 + 7*#1^5 & , (-36*E^4*Log[x - #1] + 60*Log[x - #1]*#1 + 21*E^4*Log[x - #1]*#1 - 35*Log[x - #1]*#1^2)/(-24*E^4 + 48*#1 + 21*E^4*#1 - 35*#1^2) & ]","C",1
3049,1,34,29,0.912213,"\int \frac{e^{2 x-\frac{4}{x^2 \log (5)}} \left(8-16 x+8 x^2+\left(-2 x^4+2 x^5\right) \log (5)+e^{\frac{4}{x^2 \log (5)}} \left(2 x^4+2 x^5\right) \log (5)+e^{\frac{2}{x^2 \log (5)}} \left(-8 x+8 x^2+\left(-2 x^3+4 x^5\right) \log (5)\right)\right)}{x^3 \log (5)} \, dx","Integrate[(E^(2*x - 4/(x^2*Log[5]))*(8 - 16*x + 8*x^2 + (-2*x^4 + 2*x^5)*Log[5] + E^(4/(x^2*Log[5]))*(2*x^4 + 2*x^5)*Log[5] + E^(2/(x^2*Log[5]))*(-8*x + 8*x^2 + (-2*x^3 + 4*x^5)*Log[5])))/(x^3*Log[5]),x]","e^{2 x-\frac{4}{x^2 \log (5)}} \left(x e^{\frac{2}{x^2 \log (5)}}+x-1\right)^2","e^{2 x} \left((1-x) e^{-\frac{2}{x^2 \log (5)}}-x\right)^2",1,"E^(2*x - 4/(x^2*Log[5]))*(-1 + x + E^(2/(x^2*Log[5]))*x)^2","A",1
3050,1,31,31,0.2407085,"\int \frac{\exp \left(\frac{-3 x^2+\left(15 x+9 x^2\right) \log (\log (5-\log (x)))}{(5+3 x) \log (\log (5-\log (x)))}\right) \left(75 x^2+45 x^3+\left(750 x^2+225 x^3+\left(-150 x^2-45 x^3\right) \log (x)\right) \log (5-\log (x)) \log (\log (5-\log (x)))+\left(-625-2625 x-2475 x^2-675 x^3+\left(125+525 x+495 x^2+135 x^3\right) \log (x)\right) \log (5-\log (x)) \log ^2(\log (5-\log (x)))\right)}{\left(-125-150 x-45 x^2+\left(25+30 x+9 x^2\right) \log (x)\right) \log (5-\log (x)) \log ^2(\log (5-\log (x)))} \, dx","Integrate[(E^((-3*x^2 + (15*x + 9*x^2)*Log[Log[5 - Log[x]]])/((5 + 3*x)*Log[Log[5 - Log[x]]]))*(75*x^2 + 45*x^3 + (750*x^2 + 225*x^3 + (-150*x^2 - 45*x^3)*Log[x])*Log[5 - Log[x]]*Log[Log[5 - Log[x]]] + (-625 - 2625*x - 2475*x^2 - 675*x^3 + (125 + 525*x + 495*x^2 + 135*x^3)*Log[x])*Log[5 - Log[x]]*Log[Log[5 - Log[x]]]^2))/((-125 - 150*x - 45*x^2 + (25 + 30*x + 9*x^2)*Log[x])*Log[5 - Log[x]]*Log[Log[5 - Log[x]]]^2),x]","5 x \exp \left(3 x-\frac{3 x^2}{(3 x+5) \log (\log (5-\log (x)))}\right)","5 x \exp \left(3 \left(x-\frac{x^2}{(3 x+5) \log (\log (5-\log (x)))}\right)\right)",1,"5*E^(3*x - (3*x^2)/((5 + 3*x)*Log[Log[5 - Log[x]]]))*x","A",1
3051,1,32,22,0.0173828,"\int \frac{-2 e^4+256 e^4 x^3 \log ^2(\log (2))}{x+\left(2704 x^3+256 x^4\right) \log ^2(\log (2))} \, dx","Integrate[(-2*E^4 + 256*E^4*x^3*Log[Log[2]]^2)/(x + (2704*x^3 + 256*x^4)*Log[Log[2]]^2),x]","e^4 \left(\log \left(256 x^3 \log ^2(\log (2))+2704 x^2 \log ^2(\log (2))+1\right)-2 \log (x)\right)","e^4 \log \left(\frac{1}{256 x^2 \log ^2(\log (2))}+x+\frac{169}{16}\right)",1,"E^4*(-2*Log[x] + Log[1 + 2704*x^2*Log[Log[2]]^2 + 256*x^3*Log[Log[2]]^2])","A",1
3052,1,23,25,0.0305784,"\int \frac{x^{\frac{1}{64} \left(-64 x^2-x^3\right)} \left(e^{-5+x} \left(64+64 x-64 x^2-x^3\right)+e^{-5+x} \left(-128 x^2-3 x^3\right) \log (x)\right)}{256 e^5} \, dx","Integrate[(x^((-64*x^2 - x^3)/64)*(E^(-5 + x)*(64 + 64*x - 64*x^2 - x^3) + E^(-5 + x)*(-128*x^2 - 3*x^3)*Log[x]))/(256*E^5),x]","\frac{1}{4} e^{x-10} x^{1-\frac{1}{64} x^2 (x+64)}","\frac{1}{4} e^{x-10} x^{1-x \left(\frac{x^2}{64}+x\right)}",1,"(E^(-10 + x)*x^(1 - (x^2*(64 + x))/64))/4","A",1
3053,1,38,27,0.1084396,"\int \frac{15+e^{2 x} \left(15+5 x^2\right)+e^x \left(-30-5 x^2-5 x^3\right)}{\left(3 x+x^2 \log (3)+e^x \left(-6 x+x^3-2 x^2 \log (3)\right)+e^{2 x} \left(3 x-x^3+x^2 \log (3)\right)\right) \log ^2\left(\frac{-3-x \log (3)+e^x \left(3-x^2+x \log (3)\right)}{-x+e^x x}\right)} \, dx","Integrate[(15 + E^(2*x)*(15 + 5*x^2) + E^x*(-30 - 5*x^2 - 5*x^3))/((3*x + x^2*Log[3] + E^x*(-6*x + x^3 - 2*x^2*Log[3]) + E^(2*x)*(3*x - x^3 + x^2*Log[3]))*Log[(-3 - x*Log[3] + E^x*(3 - x^2 + x*Log[3]))/(-x + E^x*x)]^2),x]","\frac{5}{\log \left(\frac{e^x \left(-x^2+x \log (3)+3\right)+x (-\log (3))-3}{\left(e^x-1\right) x}\right)}","\frac{5}{\log \left(\frac{x}{1-e^x}-x+\frac{3}{x}+\log (3)\right)}",1,"5/Log[(-3 - x*Log[3] + E^x*(3 - x^2 + x*Log[3]))/((-1 + E^x)*x)]","A",1
3054,1,23,24,0.1489266,"\int \frac{100 x-10 x^2+(10-x) \log \left(\frac{10-x}{5}\right)+\left(-199 x+20 x^2+(-10+x) \log \left(\frac{10-x}{5}\right)\right) \log (4 x)}{(-100+10 x) \log ^2(4 x)} \, dx","Integrate[(100*x - 10*x^2 + (10 - x)*Log[(10 - x)/5] + (-199*x + 20*x^2 + (-10 + x)*Log[(10 - x)/5])*Log[4*x])/((-100 + 10*x)*Log[4*x]^2),x]","\frac{x \left(10 x+\log \left(2-\frac{x}{5}\right)\right)}{10 \log (4 x)}","\frac{x^2+\frac{1}{10} x \log \left(2-\frac{x}{5}\right)}{\log (4 x)}",1,"(x*(10*x + Log[2 - x/5]))/(10*Log[4*x])","A",1
3055,0,0,30,0.7011759,"\int \frac{e^{-\frac{10}{2+e^x}} \left(-4 x^2+8 \log (4)+e^{2 x} \left(-x^2+2 \log (4)\right)+e^x \left(-4 x^2+10 x^3+\left(8+20 x-10 x^2\right) \log (4)\right)+e^{\frac{10}{2+e^x}} \left(4 x^4+\left(16 x^2-8 x^3\right) \log (4)+\left(16-16 x+4 x^2\right) \log ^2(4)+e^{2 x} \left(x^4+\left(4 x^2-2 x^3\right) \log (4)+\left(4-4 x+x^2\right) \log ^2(4)\right)+e^x \left(4 x^4+\left(16 x^2-8 x^3\right) \log (4)+\left(16-16 x+4 x^2\right) \log ^2(4)\right)\right)\right)}{4 x^4+\left(16 x^2-8 x^3\right) \log (4)+\left(16-16 x+4 x^2\right) \log ^2(4)+e^{2 x} \left(x^4+\left(4 x^2-2 x^3\right) \log (4)+\left(4-4 x+x^2\right) \log ^2(4)\right)+e^x \left(4 x^4+\left(16 x^2-8 x^3\right) \log (4)+\left(16-16 x+4 x^2\right) \log ^2(4)\right)} \, dx","Integrate[(-4*x^2 + 8*Log[4] + E^(2*x)*(-x^2 + 2*Log[4]) + E^x*(-4*x^2 + 10*x^3 + (8 + 20*x - 10*x^2)*Log[4]) + E^(10/(2 + E^x))*(4*x^4 + (16*x^2 - 8*x^3)*Log[4] + (16 - 16*x + 4*x^2)*Log[4]^2 + E^(2*x)*(x^4 + (4*x^2 - 2*x^3)*Log[4] + (4 - 4*x + x^2)*Log[4]^2) + E^x*(4*x^4 + (16*x^2 - 8*x^3)*Log[4] + (16 - 16*x + 4*x^2)*Log[4]^2)))/(E^(10/(2 + E^x))*(4*x^4 + (16*x^2 - 8*x^3)*Log[4] + (16 - 16*x + 4*x^2)*Log[4]^2 + E^(2*x)*(x^4 + (4*x^2 - 2*x^3)*Log[4] + (4 - 4*x + x^2)*Log[4]^2) + E^x*(4*x^4 + (16*x^2 - 8*x^3)*Log[4] + (16 - 16*x + 4*x^2)*Log[4]^2))),x]","\int \frac{e^{-\frac{10}{2+e^x}} \left(-4 x^2+8 \log (4)+e^{2 x} \left(-x^2+2 \log (4)\right)+e^x \left(-4 x^2+10 x^3+\left(8+20 x-10 x^2\right) \log (4)\right)+e^{\frac{10}{2+e^x}} \left(4 x^4+\left(16 x^2-8 x^3\right) \log (4)+\left(16-16 x+4 x^2\right) \log ^2(4)+e^{2 x} \left(x^4+\left(4 x^2-2 x^3\right) \log (4)+\left(4-4 x+x^2\right) \log ^2(4)\right)+e^x \left(4 x^4+\left(16 x^2-8 x^3\right) \log (4)+\left(16-16 x+4 x^2\right) \log ^2(4)\right)\right)\right)}{4 x^4+\left(16 x^2-8 x^3\right) \log (4)+\left(16-16 x+4 x^2\right) \log ^2(4)+e^{2 x} \left(x^4+\left(4 x^2-2 x^3\right) \log (4)+\left(4-4 x+x^2\right) \log ^2(4)\right)+e^x \left(4 x^4+\left(16 x^2-8 x^3\right) \log (4)+\left(16-16 x+4 x^2\right) \log ^2(4)\right)} \, dx","\frac{e^{-\frac{10}{e^x+2}} x}{x^2+(2-x) \log (4)}+x+5",1,"Integrate[(-4*x^2 + 8*Log[4] + E^(2*x)*(-x^2 + 2*Log[4]) + E^x*(-4*x^2 + 10*x^3 + (8 + 20*x - 10*x^2)*Log[4]) + E^(10/(2 + E^x))*(4*x^4 + (16*x^2 - 8*x^3)*Log[4] + (16 - 16*x + 4*x^2)*Log[4]^2 + E^(2*x)*(x^4 + (4*x^2 - 2*x^3)*Log[4] + (4 - 4*x + x^2)*Log[4]^2) + E^x*(4*x^4 + (16*x^2 - 8*x^3)*Log[4] + (16 - 16*x + 4*x^2)*Log[4]^2)))/(E^(10/(2 + E^x))*(4*x^4 + (16*x^2 - 8*x^3)*Log[4] + (16 - 16*x + 4*x^2)*Log[4]^2 + E^(2*x)*(x^4 + (4*x^2 - 2*x^3)*Log[4] + (4 - 4*x + x^2)*Log[4]^2) + E^x*(4*x^4 + (16*x^2 - 8*x^3)*Log[4] + (16 - 16*x + 4*x^2)*Log[4]^2))), x]","F",-1
3056,1,19,15,0.0000888,"\int \left(1373-588 x+84 x^2-4 x^3\right) \, dx","Integrate[1373 - 588*x + 84*x^2 - 4*x^3,x]","-x^4+28 x^3-294 x^2+1373 x","-(7-x)^4+x+e^5+22",1,"1373*x - 294*x^2 + 28*x^3 - x^4","A",1
3057,1,19,16,0.0317707,"\int \frac{-5+e^{4+x} \left(16-8 x+x^2\right)}{e^4 \left(16-8 x+x^2\right)} \, dx","Integrate[(-5 + E^(4 + x)*(16 - 8*x + x^2))/(E^4*(16 - 8*x + x^2)),x]","\frac{e^{x+4}-\frac{5}{4-x}}{e^4}","\frac{x+1}{e^4 (x-4)}+e^x",1,"(E^(4 + x) - 5/(4 - x))/E^4","A",1
3058,1,25,29,1.6601369,"\int \frac{e^{\frac{-2 e^{e^x}+2 x-2 x^2}{3 x+3 x^2}} \left(-4 x^2+e^{e^x} \left(2+4 x+e^x \left(-2 x-2 x^2\right)\right)\right)}{3 x^2+6 x^3+3 x^4} \, dx","Integrate[(E^((-2*E^E^x + 2*x - 2*x^2)/(3*x + 3*x^2))*(-4*x^2 + E^E^x*(2 + 4*x + E^x*(-2*x - 2*x^2))))/(3*x^2 + 6*x^3 + 3*x^4),x]","e^{-\frac{2 \left((x-1) x+e^{e^x}\right)}{3 x (x+1)}}","e^{\frac{2 \left(1-\frac{x^2+e^{e^x}}{x}\right)}{3 (x+1)}}+3",1,"E^((-2*(E^E^x + (-1 + x)*x))/(3*x*(1 + x)))","A",1
3059,1,24,20,0.0050566,"\int \frac{-9-e x^2-24 x^5+9 x^{10}}{e x^2} \, dx","Integrate[(-9 - E*x^2 - 24*x^5 + 9*x^10)/(E*x^2),x]","-\frac{-x^9+6 x^4+e x-\frac{9}{x}}{e}","\frac{x \left(x^4-\frac{3}{x}\right)^2}{e}-x",1,"-((-9/x + E*x + 6*x^4 - x^9)/E)","A",1
3060,1,63,26,0.100195,"\int \frac{-10 x-6 x^2+28 x^3+38 x^4+18 x^5+4 x^6+e^{2 x} \left(2 x^4+2 x^5\right)+e^x \left(-2 x^2+10 x^3+22 x^4+12 x^5+2 x^6\right)+\left(2+10 x-2 x^3-2 e^x x^3\right) \log (x)-2 \log ^2(x)}{x^3} \, dx","Integrate[(-10*x - 6*x^2 + 28*x^3 + 38*x^4 + 18*x^5 + 4*x^6 + E^(2*x)*(2*x^4 + 2*x^5) + E^x*(-2*x^2 + 10*x^3 + 22*x^4 + 12*x^5 + 2*x^6) + (2 + 10*x - 2*x^3 - 2*E^x*x^3)*Log[x] - 2*Log[x]^2)/x^3,x]","\frac{-2 \left(x^2+\left(e^x+3\right) x+5\right) x \log (x)+\left(x^3+6 x^2+2 e^x \left(x^2+3 x+5\right)+e^{2 x} x+19 x+30\right) x^3+\log ^2(x)}{x^2}","\left(x^2+e^x x+3 x-\frac{x+\log (x)}{x}+6\right)^2+7",1,"(x^3*(30 + 19*x + E^(2*x)*x + 6*x^2 + x^3 + 2*E^x*(5 + 3*x + x^2)) - 2*x*(5 + (3 + E^x)*x + x^2)*Log[x] + Log[x]^2)/x^2","B",1
3061,1,50,25,0.3649861,"\int \frac{196+168 x+400 x^2+268 x^3+329 x^4+152 x^5+120 x^6+32 x^7+16 x^8+\left(336 x+256 x^2+584 x^3+296 x^4+336 x^5+96 x^6+64 x^7\right) \log (x)+\left(256 x^2+144 x^3+312 x^4+96 x^5+96 x^6\right) \log ^2(x)+\left(96 x^3+32 x^4+64 x^5\right) \log ^3(x)+16 x^4 \log ^4(x)+\exp \left(\frac{5}{14+6 x+13 x^2+4 x^3+4 x^4+\left(12 x+4 x^2+8 x^3\right) \log (x)+4 x^2 \log ^2(x)}\right) \left(-90-150 x-100 x^2-80 x^3+\left(-60-80 x-120 x^2\right) \log (x)-40 x \log ^2(x)\right)}{196+168 x+400 x^2+268 x^3+329 x^4+152 x^5+120 x^6+32 x^7+16 x^8+\left(336 x+256 x^2+584 x^3+296 x^4+336 x^5+96 x^6+64 x^7\right) \log (x)+\left(256 x^2+144 x^3+312 x^4+96 x^5+96 x^6\right) \log ^2(x)+\left(96 x^3+32 x^4+64 x^5\right) \log ^3(x)+16 x^4 \log ^4(x)} \, dx","Integrate[(196 + 168*x + 400*x^2 + 268*x^3 + 329*x^4 + 152*x^5 + 120*x^6 + 32*x^7 + 16*x^8 + (336*x + 256*x^2 + 584*x^3 + 296*x^4 + 336*x^5 + 96*x^6 + 64*x^7)*Log[x] + (256*x^2 + 144*x^3 + 312*x^4 + 96*x^5 + 96*x^6)*Log[x]^2 + (96*x^3 + 32*x^4 + 64*x^5)*Log[x]^3 + 16*x^4*Log[x]^4 + E^(5/(14 + 6*x + 13*x^2 + 4*x^3 + 4*x^4 + (12*x + 4*x^2 + 8*x^3)*Log[x] + 4*x^2*Log[x]^2))*(-90 - 150*x - 100*x^2 - 80*x^3 + (-60 - 80*x - 120*x^2)*Log[x] - 40*x*Log[x]^2))/(196 + 168*x + 400*x^2 + 268*x^3 + 329*x^4 + 152*x^5 + 120*x^6 + 32*x^7 + 16*x^8 + (336*x + 256*x^2 + 584*x^3 + 296*x^4 + 336*x^5 + 96*x^6 + 64*x^7)*Log[x] + (256*x^2 + 144*x^3 + 312*x^4 + 96*x^5 + 96*x^6)*Log[x]^2 + (96*x^3 + 32*x^4 + 64*x^5)*Log[x]^3 + 16*x^4*Log[x]^4),x]","\exp \left(\frac{5}{4 x^4+4 x^3+13 x^2+4 x^2 \log ^2(x)+4 \left(2 x^2+x+3\right) x \log (x)+6 x+14}\right)+x","x+e^{\frac{5}{(-x+2 x (x+\log (x)+1)+3)^2+5}}",1,"E^(5/(14 + 6*x + 13*x^2 + 4*x^3 + 4*x^4 + 4*x*(3 + x + 2*x^2)*Log[x] + 4*x^2*Log[x]^2)) + x","A",1
3062,1,35,29,0.1821299,"\int \frac{\exp \left(\frac{2 x+x^2+x \log (x)+\left(4 x+2 x^2+2 x \log (x)\right) \log \left(\frac{1}{4 x+x \log (x)}\right)}{\log \left(\frac{1}{4 x+x \log (x)}\right)}\right) \left(50+25 x+(35+5 x) \log (x)+5 \log ^2(x)+\left(60+40 x+(35+10 x) \log (x)+5 \log ^2(x)\right) \log \left(\frac{1}{4 x+x \log (x)}\right)+\left(120+80 x+(70+20 x) \log (x)+10 \log ^2(x)\right) \log ^2\left(\frac{1}{4 x+x \log (x)}\right)\right)}{(4+\log (x)) \log ^2\left(\frac{1}{4 x+x \log (x)}\right)} \, dx","Integrate[(E^((2*x + x^2 + x*Log[x] + (4*x + 2*x^2 + 2*x*Log[x])*Log[(4*x + x*Log[x])^(-1)])/Log[(4*x + x*Log[x])^(-1)])*(50 + 25*x + (35 + 5*x)*Log[x] + 5*Log[x]^2 + (60 + 40*x + (35 + 10*x)*Log[x] + 5*Log[x]^2)*Log[(4*x + x*Log[x])^(-1)] + (120 + 80*x + (70 + 20*x)*Log[x] + 10*Log[x]^2)*Log[(4*x + x*Log[x])^(-1)]^2))/((4 + Log[x])*Log[(4*x + x*Log[x])^(-1)]^2),x]","5 x^{2 x} \exp \left(x \left(2 x+\frac{x+\log (x)+2}{\log \left(\frac{1}{4 x+x \log (x)}\right)}+4\right)\right)","5 \exp \left((x+\log (x)+2) \left(2 x+\frac{x}{\log \left(\frac{1}{x (\log (x)+4)}\right)}\right)\right)",1,"5*E^(x*(4 + 2*x + (2 + x + Log[x])/Log[(4*x + x*Log[x])^(-1)]))*x^(2*x)","A",1
3063,1,22,23,0.0998737,"\int \frac{-2 x-x^2+\left(-2-x-2 x^2-2 x^3-x^4\right) \log (x)+\left(-2 x-4 x^2-2 x^3\right) \log ^2(x)+\left(-2 x-x^2\right) \log ^3(x)+\left(2+3 x+x^2\right) \log (x) \log \left(\left(8+8 x+2 x^2\right) \log (x)\right)}{\left(2 x^3+x^4\right) \log (x)+\left(4 x^2+2 x^3\right) \log ^2(x)+\left(2 x+x^2\right) \log ^3(x)} \, dx","Integrate[(-2*x - x^2 + (-2 - x - 2*x^2 - 2*x^3 - x^4)*Log[x] + (-2*x - 4*x^2 - 2*x^3)*Log[x]^2 + (-2*x - x^2)*Log[x]^3 + (2 + 3*x + x^2)*Log[x]*Log[(8 + 8*x + 2*x^2)*Log[x]])/((2*x^3 + x^4)*Log[x] + (4*x^2 + 2*x^3)*Log[x]^2 + (2*x + x^2)*Log[x]^3),x]","-x-\frac{\log \left(2 (x+2)^2 \log (x)\right)}{x+\log (x)}","-x-\frac{\log \left(2 (x+2)^2 \log (x)\right)}{x+\log (x)}+13",1,"-x - Log[2*(2 + x)^2*Log[x]]/(x + Log[x])","A",1
3064,1,26,29,0.0841096,"\int \frac{e^{\frac{1}{\log ^2\left(4-40 x+36 x^2+320 x^3+256 x^4\right)}} \left(-20-44 x+64 x^2+\left(-1+5 x+8 x^2\right) \log ^3\left(4-40 x+36 x^2+320 x^3+256 x^4\right)\right)}{\left(-1+7 x-3 x^2-11 x^3+8 x^4\right) \log ^3\left(4-40 x+36 x^2+320 x^3+256 x^4\right)} \, dx","Integrate[(E^Log[4 - 40*x + 36*x^2 + 320*x^3 + 256*x^4]^(-2)*(-20 - 44*x + 64*x^2 + (-1 + 5*x + 8*x^2)*Log[4 - 40*x + 36*x^2 + 320*x^3 + 256*x^4]^3))/((-1 + 7*x - 3*x^2 - 11*x^3 + 8*x^4)*Log[4 - 40*x + 36*x^2 + 320*x^3 + 256*x^4]^3),x]","-\frac{e^{\frac{1}{\log ^2\left(4 \left(8 x^2+5 x-1\right)^2\right)}}}{x-1}","\frac{e^{\frac{1}{\log ^2\left(\left(-(4 x+1)^2-2 x+3\right)^2\right)}}}{1-x}",1,"-(E^Log[4*(-1 + 5*x + 8*x^2)^2]^(-2)/(-1 + x))","A",1
3065,1,77,24,0.0118818,"\int \frac{1}{5} \left(-55-4 x+16 x^2-2 x^3+\left(48+32 x-2 x^2-8 x^3+2 x^4\right) \log (x)+\left(64-48 x^2+5 x^4\right) \log ^2(x)\right) \, dx","Integrate[(-55 - 4*x + 16*x^2 - 2*x^3 + (48 + 32*x - 2*x^2 - 8*x^3 + 2*x^4)*Log[x] + (64 - 48*x^2 + 5*x^4)*Log[x]^2)/5,x]","\frac{1}{5} x^5 \log ^2(x)-\frac{2}{5} x^4 \log (x)+\frac{2 x^3}{5}-\frac{16}{5} x^3 \log ^2(x)+2 x^3 \log (x)-2 x^2+\frac{16}{5} x^2 \log (x)+5 x+\frac{64}{5} x \log ^2(x)-16 x \log (x)","\frac{1}{5} x \left(x^2+\left(\left(x^2-8\right) \log (x)-x+5\right)^2\right)",1,"5*x - 2*x^2 + (2*x^3)/5 - 16*x*Log[x] + (16*x^2*Log[x])/5 + 2*x^3*Log[x] - (2*x^4*Log[x])/5 + (64*x*Log[x]^2)/5 - (16*x^3*Log[x]^2)/5 + (x^5*Log[x]^2)/5","B",1
3066,1,12,21,0.0513014,"\int \frac{e^{\frac{30-12 x+2 x^2}{x}} \left(-30+2 x^2\right)}{x^2} \, dx","Integrate[(E^((30 - 12*x + 2*x^2)/x)*(-30 + 2*x^2))/x^2,x]","e^{2 x+\frac{30}{x}-12}","e^{\frac{2 \left(x^2-x+5 (3-x)\right)}{x}}",1,"E^(-12 + 30/x + 2*x)","A",1
3067,1,26,34,0.3511505,"\int \frac{-40-5 x^2+\left(80+20 x^2\right) \log (x)+e^{e^x} \left(-10 x+\left(30 x+10 e^x x^2\right) \log (x)\right)}{2 e^{e^x} x^2 \log (x)+\left(8 x+x^3\right) \log (x)} \, dx","Integrate[(-40 - 5*x^2 + (80 + 20*x^2)*Log[x] + E^E^x*(-10*x + (30*x + 10*E^x*x^2)*Log[x]))/(2*E^E^x*x^2*Log[x] + (8*x + x^3)*Log[x]),x]","5 \left(\log \left(x^2+2 e^{e^x} x+8\right)+2 \log (x)-\log (\log (x))\right)","5 \log \left(\frac{x^2 \left(4-\left(-\frac{x}{2}-e^{e^x}\right) x\right)}{4 \log (x)}\right)+4",1,"5*(2*Log[x] + Log[8 + 2*E^E^x*x + x^2] - Log[Log[x]])","A",1
3068,1,21,23,0.1586662,"\int \frac{6+e^{3+x} (-1+x)+\left(6 x-e^{3+x} x-x^2\right) \log \left(\frac{3 x}{-6+e^{3+x}+x}\right) \log \left(\log \left(\frac{3 x}{-6+e^{3+x}+x}\right)\right)}{\left(-6 x^2+e^{3+x} x^2+x^3\right) \log \left(\frac{3 x}{-6+e^{3+x}+x}\right) \log \left(\log \left(\frac{3 x}{-6+e^{3+x}+x}\right)\right)+\left(-6 x+e^{3+x} x+x^2\right) \log \left(\frac{3 x}{-6+e^{3+x}+x}\right) \log \left(\log \left(\frac{3 x}{-6+e^{3+x}+x}\right)\right) \log \left(\log \left(\log \left(\frac{3 x}{-6+e^{3+x}+x}\right)\right)\right)} \, dx","Integrate[(6 + E^(3 + x)*(-1 + x) + (6*x - E^(3 + x)*x - x^2)*Log[(3*x)/(-6 + E^(3 + x) + x)]*Log[Log[(3*x)/(-6 + E^(3 + x) + x)]])/((-6*x^2 + E^(3 + x)*x^2 + x^3)*Log[(3*x)/(-6 + E^(3 + x) + x)]*Log[Log[(3*x)/(-6 + E^(3 + x) + x)]] + (-6*x + E^(3 + x)*x + x^2)*Log[(3*x)/(-6 + E^(3 + x) + x)]*Log[Log[(3*x)/(-6 + E^(3 + x) + x)]]*Log[Log[Log[(3*x)/(-6 + E^(3 + x) + x)]]]),x]","-\log \left(x+\log \left(\log \left(\log \left(\frac{3 x}{x+e^{x+3}-6}\right)\right)\right)\right)","\log \left(\frac{2}{x+\log \left(\log \left(\log \left(\frac{3 x}{x+e^{x+3}-6}\right)\right)\right)}\right)",1,"-Log[x + Log[Log[Log[(3*x)/(-6 + E^(3 + x) + x)]]]]","A",1
3069,1,17,20,0.1263698,"\int \frac{250-75 x^4-100 \log (x)}{-6 x-x^5+4 x \log (x)} \, dx","Integrate[(250 - 75*x^4 - 100*Log[x])/(-6*x - x^5 + 4*x*Log[x]),x]","25 \left(\log \left(x^4-4 \log (x)+6\right)-\log (x)\right)","5 \left(4-5 \log \left(\frac{x}{x^4-4 \log (x)+6}\right)\right)",1,"25*(-Log[x] + Log[6 + x^4 - 4*Log[x]])","A",1
3070,1,82,23,0.0840243,"\int \frac{-5+x \log (x)+\left(6 x-2 x^2+\left(-5 x-4 x^2\right) \log (x)\right) \log (2 x)+(x+x \log (x)) \log (2 x) \log (\log (2 x))}{\left(25 x+11 x^2+\left(-5 x^2-2 x^3\right) \log (x)\right) \log (2 x)+\left(-5 x+x^2 \log (x)\right) \log (2 x) \log (\log (2 x))} \, dx","Integrate[(-5 + x*Log[x] + (6*x - 2*x^2 + (-5*x - 4*x^2)*Log[x])*Log[2*x] + (x + x*Log[x])*Log[2*x]*Log[Log[2*x]])/((25*x + 11*x^2 + (-5*x^2 - 2*x^3)*Log[x])*Log[2*x] + (-5*x + x^2*Log[x])*Log[2*x]*Log[Log[2*x]]),x]","\log \left(-2 x^2 (\log (x)-\log (2 x))-2 x^2 \log (2 x)+11 x-5 x (\log (x)-\log (2 x))-5 x \log (2 x)+x (\log (x)-\log (2 x)) \log (\log (2 x))+x \log (2 x) \log (\log (2 x))-5 \log (\log (2 x))+25\right)","\log (x+(5-x \log (x)) (2 x-\log (\log (2 x))+5))",1,"Log[25 + 11*x - 5*x*(Log[x] - Log[2*x]) - 2*x^2*(Log[x] - Log[2*x]) - 5*x*Log[2*x] - 2*x^2*Log[2*x] - 5*Log[Log[2*x]] + x*(Log[x] - Log[2*x])*Log[Log[2*x]] + x*Log[2*x]*Log[Log[2*x]]]","B",1
3071,1,35,31,0.1304748,"\int \frac{e^5 (-12+3 x)+(12-3 x) \log (4)+\left(4 e^{10}-163 e^5 x+1660 x^2+\left(-8 e^5+163 x\right) \log (4)+4 \log ^2(4)\right) \log \left(\frac{4 e^5-83 x-4 \log (4)}{-5 e^5+100 x+5 \log (4)}\right)}{26560 x^2-13280 x^3+1660 x^4+e^{10} \left(64-32 x+4 x^2\right)+e^5 \left(-2608 x+1304 x^2-163 x^3\right)+\left(2608 x-1304 x^2+163 x^3+e^5 \left(-128+64 x-8 x^2\right)\right) \log (4)+\left(64-32 x+4 x^2\right) \log ^2(4)} \, dx","Integrate[(E^5*(-12 + 3*x) + (12 - 3*x)*Log[4] + (4*E^10 - 163*E^5*x + 1660*x^2 + (-8*E^5 + 163*x)*Log[4] + 4*Log[4]^2)*Log[(4*E^5 - 83*x - 4*Log[4])/(-5*E^5 + 100*x + 5*Log[4])])/(26560*x^2 - 13280*x^3 + 1660*x^4 + E^10*(64 - 32*x + 4*x^2) + E^5*(-2608*x + 1304*x^2 - 163*x^3) + (2608*x - 1304*x^2 + 163*x^3 + E^5*(-128 + 64*x - 8*x^2))*Log[4] + (64 - 32*x + 4*x^2)*Log[4]^2),x]","-\frac{\log \left(\frac{83 x-4 e^5+\log (256)}{-100 x+5 e^5-\log (1024)}\right)}{x-4}","\frac{\log \left(\frac{1}{5} \left(\frac{3 x}{-20 x+e^5-\log (4)}-4\right)\right)}{4-x}",1,"-(Log[(-4*E^5 + 83*x + Log[256])/(5*E^5 - 100*x - Log[1024])]/(-4 + x))","A",0
3072,1,19,21,0.1475806,"\int \frac{-6+x^2+\left(-3-x^2 \log (x)\right) \log \left(\frac{-3-x^2 \log (x)}{3 x^2}\right)}{\left(3 x+x^3 \log (x)\right) \log \left(\frac{-3-x^2 \log (x)}{3 x^2}\right)} \, dx","Integrate[(-6 + x^2 + (-3 - x^2*Log[x])*Log[(-3 - x^2*Log[x])/(3*x^2)])/((3*x + x^3*Log[x])*Log[(-3 - x^2*Log[x])/(3*x^2)]),x]","\log \left(\log \left(-\frac{1}{x^2}-\frac{\log (x)}{3}\right)\right)-\log (x)","\log \left(\frac{121 \log \left(\frac{1}{3} \left(-\frac{3}{x^2}-\log (x)\right)\right)}{x}\right)",1,"-Log[x] + Log[Log[-x^(-2) - Log[x]/3]]","A",1
3073,1,39,31,0.3212049,"\int \frac{64 e^{-36+16 x-2 x^2} \left(-\frac{1}{64} e^{36-16 x+2 x^2} x^3 \log ^3(x)+\exp \left(\frac{64 e^{-36+16 x-2 x^2} \left(16-4 e^{18-8 x+x^2} x+\frac{1}{4} e^{36-16 x+2 x^2} x^2\right)}{x^2 \log ^2(x)}\right) \left(-32-\frac{1}{2} e^{36-16 x+2 x^2} x^2+\left(-32+256 x-64 x^2\right) \log (x)+\frac{1}{8} e^{18-8 x+x^2} x \left(64+\left(32-256 x+64 x^2\right) \log (x)\right)\right)\right)}{x^3 \log ^3(x)} \, dx","Integrate[(64*E^(-36 + 16*x - 2*x^2)*(-1/64*(E^(36 - 16*x + 2*x^2)*x^3*Log[x]^3) + E^((64*E^(-36 + 16*x - 2*x^2)*(16 - 4*E^(18 - 8*x + x^2)*x + (E^(36 - 16*x + 2*x^2)*x^2)/4))/(x^2*Log[x]^2))*(-32 - (E^(36 - 16*x + 2*x^2)*x^2)/2 + (-32 + 256*x - 64*x^2)*Log[x] + (E^(18 - 8*x + x^2)*x*(64 + (32 - 256*x + 64*x^2)*Log[x]))/8)))/(x^3*Log[x]^3),x]","\exp \left(\frac{16 \left(e^{18} x-8 e^{8 x-x^2}\right)^2}{e^{36} x^2 \log ^2(x)}\right)-x","e^{\frac{\left(\frac{32 e^{-(x-4)^2-2}}{x}-4\right)^2}{\log ^2(x)}}-x",1,"E^((16*(-8*E^(8*x - x^2) + E^18*x)^2)/(E^36*x^2*Log[x]^2)) - x","A",1
3074,1,19,25,0.0823027,"\int \frac{e (1125+7425 x)+e^x \left(27 x^2+297 x^3+1089 x^4+1331 x^5\right)+\left(225 e+e^x \left(27 x^2+198 x^3+363 x^4\right)\right) \log (x)+e^x \left(9 x^2+33 x^3\right) \log ^2(x)+e^x x^2 \log ^3(x)}{27 x^2+297 x^3+1089 x^4+1331 x^5+\left(27 x^2+198 x^3+363 x^4\right) \log (x)+\left(9 x^2+33 x^3\right) \log ^2(x)+x^2 \log ^3(x)} \, dx","Integrate[(E*(1125 + 7425*x) + E^x*(27*x^2 + 297*x^3 + 1089*x^4 + 1331*x^5) + (225*E + E^x*(27*x^2 + 198*x^3 + 363*x^4))*Log[x] + E^x*(9*x^2 + 33*x^3)*Log[x]^2 + E^x*x^2*Log[x]^3)/(27*x^2 + 297*x^3 + 1089*x^4 + 1331*x^5 + (27*x^2 + 198*x^3 + 363*x^4)*Log[x] + (9*x^2 + 33*x^3)*Log[x]^2 + x^2*Log[x]^3),x]","e^x-\frac{225 e}{x (11 x+\log (x)+3)^2}","e^x-\frac{9 e}{x \left(2 x+\frac{1}{5} (x+\log (x)+3)\right)^2}",1,"E^x - (225*E)/(x*(3 + 11*x + Log[x])^2)","A",1
3075,1,34,23,0.3677839,"\int \frac{e^{\frac{-1+2 x}{2 x}} (-5+10 x)-10 x \log (3)}{2 e^{\frac{-1+2 x}{x}} x-4 e^{\frac{-1+2 x}{2 x}} x \log (3)+2 x \log ^2(3)} \, dx","Integrate[(E^((-1 + 2*x)/(2*x))*(-5 + 10*x) - 10*x*Log[3])/(2*E^((-1 + 2*x)/x)*x - 4*E^((-1 + 2*x)/(2*x))*x*Log[3] + 2*x*Log[3]^2),x]","-\frac{5 x \left(\log (9)-\frac{e \log (9)}{e-e^{\left.\frac{1}{2}\right/x} \log (3)}\right)}{2 \log ^2(3)}","\frac{5 x}{e^{1-\frac{1}{2 x}}-\log (3)}+19",1,"(-5*x*(Log[9] - (E*Log[9])/(E - E^(1/(2*x))*Log[3])))/(2*Log[3]^2)","A",1
3076,1,20,20,0.3957632,"\int \frac{2 x \log (3)+6 e^x x \log (3)+\left(-6 e^x \log (3)-2 x \log (3)\right) \log \left(3 e^x+x\right)+\left(3 e^x \log (3)+x \log (3)\right) \log \left(3 e^x+x\right) \log \left(-\frac{x}{\log \left(3 e^x+x\right)}\right)}{\left(3 e^x+x\right) \log \left(3 e^x+x\right) \log ^3\left(-\frac{x}{\log \left(3 e^x+x\right)}\right)} \, dx","Integrate[(2*x*Log[3] + 6*E^x*x*Log[3] + (-6*E^x*Log[3] - 2*x*Log[3])*Log[3*E^x + x] + (3*E^x*Log[3] + x*Log[3])*Log[3*E^x + x]*Log[-(x/Log[3*E^x + x])])/((3*E^x + x)*Log[3*E^x + x]*Log[-(x/Log[3*E^x + x])]^3),x]","\frac{x \log (3)}{\log ^2\left(-\frac{x}{\log \left(x+3 e^x\right)}\right)}","\frac{x \log (3)}{\log ^2\left(-\frac{x}{\log \left(x+3 e^x\right)}\right)}",1,"(x*Log[3])/Log[-(x/Log[3*E^x + x])]^2","A",1
3077,1,82,22,0.0989618,"\int \frac{-8472-51030000 e^{5 x}-18370800 e^{6 x}-3674160 e^{7 x}-314928 e^{8 x}+e^{2 x} (-49890600-32400 x)+e^{3 x} (-86631120-19440 x)+e^x (-12726000-18000 x)+e^{4 x} (-85365900-3888 x)-12 x}{2235957977344+1004423490000 e^{13 x}+129140163000 e^{14 x}+10331213040 e^{15 x}+387420489 e^{16 x}+12668283264 x+26915568 x^2+25416 x^3+9 x^4+e^{12 x} (5442176919456+19131876 x)+e^{11 x} (21793502589120+382637520 x)+e^{10 x} (66780663483600+3507510600 x)+e^{9 x} (159903511020000+19486170000 x)+e^{8 x} \left(302780869911648+73130533128 x+354294 x^2\right)+e^{7 x} \left(455606824688640+195626975040 x+4723920 x^2\right)+e^{6 x} \left(543962229350400+383361854400 x+27556200 x^2\right)+e^{5 x} \left(510892671168000+556162848000 x+91854000 x^2\right)+e^{4 x} \left(370848773784384+594894062016 x+192071088 x^2+2916 x^3\right)+e^{3 x} \left(201627923362560+459373213440 x+259873920 x^2+19440 x^3\right)+e^{2 x} \left(77662210406400+244230033600 x+224434800 x^2+48600 x^3\right)+e^x \left(19002424896000+80746704000 x+114372000 x^2+54000 x^3\right)} \, dx","Integrate[(-8472 - 51030000*E^(5*x) - 18370800*E^(6*x) - 3674160*E^(7*x) - 314928*E^(8*x) + E^(2*x)*(-49890600 - 32400*x) + E^(3*x)*(-86631120 - 19440*x) + E^x*(-12726000 - 18000*x) + E^(4*x)*(-85365900 - 3888*x) - 12*x)/(2235957977344 + 1004423490000*E^(13*x) + 129140163000*E^(14*x) + 10331213040*E^(15*x) + 387420489*E^(16*x) + 12668283264*x + 26915568*x^2 + 25416*x^3 + 9*x^4 + E^(12*x)*(5442176919456 + 19131876*x) + E^(11*x)*(21793502589120 + 382637520*x) + E^(10*x)*(66780663483600 + 3507510600*x) + E^(9*x)*(159903511020000 + 19486170000*x) + E^(8*x)*(302780869911648 + 73130533128*x + 354294*x^2) + E^(7*x)*(455606824688640 + 195626975040*x + 4723920*x^2) + E^(6*x)*(543962229350400 + 383361854400*x + 27556200*x^2) + E^(5*x)*(510892671168000 + 556162848000*x + 91854000*x^2) + E^(4*x)*(370848773784384 + 594894062016*x + 192071088*x^2 + 2916*x^3) + E^(3*x)*(201627923362560 + 459373213440*x + 259873920*x^2 + 19440*x^3) + E^(2*x)*(77662210406400 + 244230033600*x + 224434800*x^2 + 48600*x^3) + E^x*(19002424896000 + 80746704000*x + 114372000*x^2 + 54000*x^3)),x]","\frac{2}{3 x^2+4236 x+5103000 e^{5 x}+1530900 e^{6 x}+262440 e^{7 x}+19683 e^{8 x}+9000 e^x (x+706)+3240 e^{3 x} (x+4456)+486 e^{4 x} (x+21956)+2700 e^{2 x} (3 x+4618)+1495312}","\frac{2}{3 \left(\left(3 e^x+5\right)^4+x+81\right)^2+4}",1,"2/(1495312 + 5103000*E^(5*x) + 1530900*E^(6*x) + 262440*E^(7*x) + 19683*E^(8*x) + 4236*x + 3*x^2 + 9000*E^x*(706 + x) + 3240*E^(3*x)*(4456 + x) + 486*E^(4*x)*(21956 + x) + 2700*E^(2*x)*(4618 + 3*x))","B",1
3078,1,20,20,0.095496,"\int \frac{e^{1+x} \left(26 x-8 x^3\right)+e^{1+x} \left(-10+8 x^2\right) \log \left(-5+4 x^2\right)}{-5+4 x^2} \, dx","Integrate[(E^(1 + x)*(26*x - 8*x^3) + E^(1 + x)*(-10 + 8*x^2)*Log[-5 + 4*x^2])/(-5 + 4*x^2),x]","-2 e^{x+1} \left(-\log \left(4 x^2-5\right)+x-1\right)","2 e^{x+1} \left(\log \left(4 x^2-5\right)-x+1\right)",1,"-2*E^(1 + x)*(-1 + x - Log[-5 + 4*x^2])","A",1
3079,1,27,27,0.0697289,"\int \frac{-8+4 x-26 x^2+28 x^3-6 x^4+\left(4-4 x-3 x^2+4 x^3-x^4\right) \log \left(\frac{e^{\frac{x}{-2+x}} \left(1-2 x^2+x^4\right)}{x}\right)}{\left(-4 x^2+4 x^3+3 x^4-4 x^5+x^6\right) \log ^3\left(\frac{e^{\frac{x}{-2+x}} \left(1-2 x^2+x^4\right)}{x}\right)} \, dx","Integrate[(-8 + 4*x - 26*x^2 + 28*x^3 - 6*x^4 + (4 - 4*x - 3*x^2 + 4*x^3 - x^4)*Log[(E^(x/(-2 + x))*(1 - 2*x^2 + x^4))/x])/((-4*x^2 + 4*x^3 + 3*x^4 - 4*x^5 + x^6)*Log[(E^(x/(-2 + x))*(1 - 2*x^2 + x^4))/x]^3),x]","\frac{1}{x \log ^2\left(\frac{e^{\frac{x}{x-2}} \left(x^2-1\right)^2}{x}\right)}","\frac{1}{x \log ^2\left(\frac{e^{\frac{x}{x-2}} \left(x^2-1\right)^2}{x}\right)}",1,"1/(x*Log[(E^(x/(-2 + x))*(-1 + x^2)^2)/x]^2)","A",1
3080,1,20,20,1.7151243,"\int \frac{\exp \left(\log ^2\left(\frac{1}{4} e^{-x} \left(4 e^{2 x}+4 x+e^x (19+4 x)\right)\right)\right) \left(8+8 e^x+8 e^{2 x}-8 x\right) \log \left(\frac{1}{4} e^{-x} \left(4 e^{2 x}+4 x+e^x (19+4 x)\right)\right)}{4 e^{2 x}+4 x+e^x (19+4 x)} \, dx","Integrate[(E^Log[(4*E^(2*x) + 4*x + E^x*(19 + 4*x))/(4*E^x)]^2*(8 + 8*E^x + 8*E^(2*x) - 8*x)*Log[(4*E^(2*x) + 4*x + E^x*(19 + 4*x))/(4*E^x)])/(4*E^(2*x) + 4*x + E^x*(19 + 4*x)),x]","e^{\log ^2\left(e^{-x} x+x+e^x+\frac{19}{4}\right)}","e^{\log ^2\left(e^{-x} x+x+e^x+\frac{19}{4}\right)}",1,"E^Log[19/4 + E^x + x + x/E^x]^2","A",1
3081,1,23,20,0.003715,"\int \left(e^{\frac{4 \log ^2(4)}{5}} x+2 e^{\frac{4 \log ^2(4)}{5}} x \log \left(\frac{x}{e^4}\right)\right) \, dx","Integrate[E^((4*Log[4]^2)/5)*x + 2*E^((4*Log[4]^2)/5)*x*Log[x/E^4],x]","e^{\frac{4 \log ^2(4)}{5}} \left(x^2 \log (x)-4 x^2\right)","x^2 e^{\frac{4 \log ^2(4)}{5}} \log \left(\frac{x}{e^4}\right)",1,"E^((4*Log[4]^2)/5)*(-4*x^2 + x^2*Log[x])","A",1
3082,1,50,31,0.2216291,"\int \frac{-x^2-4 x^3-4 x^4+e^2 \left(-1-4 x-4 x^2\right)+e^{\frac{2-x}{-x-2 x^2+e (1+2 x)}} \left(-4+10 e-16 x+4 x^2\right)+e^{\frac{2 (2-x)}{-x-2 x^2+e (1+2 x)}} \left(-4+10 e-16 x+4 x^2\right)+e \left(2 x+8 x^2+8 x^3\right)}{x^2+4 x^3+4 x^4+e^2 \left(1+4 x+4 x^2\right)+e \left(-2 x-8 x^2-8 x^3\right)} \, dx","Integrate[(-x^2 - 4*x^3 - 4*x^4 + E^2*(-1 - 4*x - 4*x^2) + E^((2 - x)/(-x - 2*x^2 + E*(1 + 2*x)))*(-4 + 10*E - 16*x + 4*x^2) + E^((2*(2 - x))/(-x - 2*x^2 + E*(1 + 2*x)))*(-4 + 10*E - 16*x + 4*x^2) + E*(2*x + 8*x^2 + 8*x^3))/(x^2 + 4*x^3 + 4*x^4 + E^2*(1 + 4*x + 4*x^2) + E*(-2*x - 8*x^2 - 8*x^3)),x]","-x-e^{-\frac{2 (x-2)}{(e-x) (2 x+1)}}-2 e^{-\frac{x-2}{(e-x) (2 x+1)}}","-\left(e^{\frac{x-2}{(x-e) (2 x+1)}}+1\right)^2-x+3",1,"-E^((-2*(-2 + x))/((E - x)*(1 + 2*x))) - 2/E^((-2 + x)/((E - x)*(1 + 2*x))) - x","A",1
3083,1,22,24,0.0864284,"\int \frac{(80-20 x) \log \left(\frac{1}{3} e^{-16+8 x-x^2} \left(-1-15 e^{16-8 x+x^2}\right)\right)}{3+45 e^{16-8 x+x^2}} \, dx","Integrate[((80 - 20*x)*Log[(E^(-16 + 8*x - x^2)*(-1 - 15*E^(16 - 8*x + x^2)))/3])/(3 + 45*E^(16 - 8*x + x^2)),x]","\frac{5}{3} \log ^2\left(-\frac{1}{3} e^{-(x-4)^2}-5\right)","\frac{5}{3} \log ^2\left(-\frac{1}{3} e^{-(4-x)^2}-5\right)",1,"(5*Log[-5 - 1/(3*E^(-4 + x)^2)]^2)/3","A",1
3084,1,22,22,0.1054547,"\int \frac{e^{-2 x} \left(e^{2 x} (-1-x)+\left(54 x+e^{2 x} x-54 x^3\right) \log (x)+e^{2 x} (1+x) \log (x) \log \left(\frac{1+x}{\log (x)}\right)\right)}{(1+x) \log (x)} \, dx","Integrate[(E^(2*x)*(-1 - x) + (54*x + E^(2*x)*x - 54*x^3)*Log[x] + E^(2*x)*(1 + x)*Log[x]*Log[(1 + x)/Log[x]])/(E^(2*x)*(1 + x)*Log[x]),x]","27 e^{-2 x} x^2+x \log \left(\frac{x+1}{\log (x)}\right)","27 e^{-2 x} x^2+x \log \left(\frac{x+1}{\log (x)}\right)",1,"(27*x^2)/E^(2*x) + x*Log[(1 + x)/Log[x]]","A",1
3085,1,18,20,0.0065551,"\int \frac{40+16 x-56 x^2}{e^3 \left(25 x^2+10 x^3+x^4\right)} \, dx","Integrate[(40 + 16*x - 56*x^2)/(E^3*(25*x^2 + 10*x^3 + x^4)),x]","\frac{8 (7 x-1)}{e^3 x (x+5)}","-\frac{8 (1-x)^2}{e^3 x (x+5)}",1,"(8*(-1 + 7*x))/(E^3*x*(5 + x))","A",1
3086,1,20,22,0.1815415,"\int \frac{e^{\frac{3 x+(12+x) \log (x)}{3 \log (x)}} \left(3 x-3 x \log (x)+(3-x) \log ^2(x)\right)}{3 x^2 \log ^2(x)} \, dx","Integrate[(E^((3*x + (12 + x)*Log[x])/(3*Log[x]))*(3*x - 3*x*Log[x] + (3 - x)*Log[x]^2))/(3*x^2*Log[x]^2),x]","-\frac{e^{\frac{x}{3}+\frac{x}{\log (x)}+4}}{x}","-\frac{e^{\frac{x}{3}+\frac{x}{\log (x)}+4}}{x}-4",1,"-(E^(4 + x/3 + x/Log[x])/x)","A",1
3087,1,24,23,0.0815678,"\int \frac{108 x^3+30 x^4+2 x^5+\left(-108 x^3-21 x^4-x^5\right) \log (x)+\left(27 x^3+3 x^4\right) \log ^2(x)+\left(\left(432 x^3+105 x^4+7 x^5\right) \log (x)+\left(-432 x^3-87 x^4-4 x^5\right) \log ^2(x)+\left(108 x^3+15 x^4\right) \log ^3(x)\right) \log (\log (x))}{\left(36+12 x+x^2\right) \log (x)+(-36-6 x) \log ^2(x)+9 \log ^3(x)} \, dx","Integrate[(108*x^3 + 30*x^4 + 2*x^5 + (-108*x^3 - 21*x^4 - x^5)*Log[x] + (27*x^3 + 3*x^4)*Log[x]^2 + ((432*x^3 + 105*x^4 + 7*x^5)*Log[x] + (-432*x^3 - 87*x^4 - 4*x^5)*Log[x]^2 + (108*x^3 + 15*x^4)*Log[x]^3)*Log[Log[x]])/((36 + 12*x + x^2)*Log[x] + (-36 - 6*x)*Log[x]^2 + 9*Log[x]^3),x]","-\frac{x^4 (x+9) (\log (x)-2) \log (\log (x))}{x-3 \log (x)+6}","\frac{x^4 (x+9) \log (\log (x))}{3-\frac{x}{\log (x)-2}}",1,"-((x^4*(9 + x)*(-2 + Log[x])*Log[Log[x]])/(6 + x - 3*Log[x]))","A",1
3088,1,24,25,0.2110766,"\int \frac{-52-16 e^4+240 e^{5 x}}{12 e^{5 x}-13 x-4 e^4 x-\log (5)} \, dx","Integrate[(-52 - 16*E^4 + 240*E^(5*x))/(12*E^(5*x) - 13*x - 4*E^4*x - Log[5]),x]","4 \log \left(-4 e^4 x-13 x+12 e^{5 x}-\log (5)\right)","4 \log \left(x-4 \left(3 e^{5 x}-\left(3+e^4\right) x\right)+\log (5)\right)",1,"4*Log[12*E^(5*x) - 13*x - 4*E^4*x - Log[5]]","A",1
3089,0,0,30,1.3385474,"\int \frac{16 x^2-112 x^3-128 x^2 \log (x)+\left(-64 x^2+32 x^3+\left(-64 x+32 x^2\right) \log (x)\right) \log (x+\log (x))+\left(-8 x+12 x^2+(-8+12 x) \log (x)\right) \log ^2(x+\log (x))+\left(8 x^2-88 x^3-96 x^2 \log (x)+\left(-48 x^2+24 x^3+\left(-48 x+24 x^2\right) \log (x)\right) \log (x+\log (x))+\left(-6 x+8 x^2+(-6+8 x) \log (x)\right) \log ^2(x+\log (x))\right) \log \left(\frac{-4 x^2+\left(-x+x^2\right) \log (x+\log (x))}{4 x+\log (x+\log (x))}\right)+\left(-16 x^3-16 x^2 \log (x)+\left(-8 x^2+4 x^3+\left(-8 x+4 x^2\right) \log (x)\right) \log (x+\log (x))+\left(-x+x^2+(-1+x) \log (x)\right) \log ^2(x+\log (x))\right) \log ^2\left(\frac{-4 x^2+\left(-x+x^2\right) \log (x+\log (x))}{4 x+\log (x+\log (x))}\right)}{-16 x^3-16 x^2 \log (x)+\left(-8 x^2+4 x^3+\left(-8 x+4 x^2\right) \log (x)\right) \log (x+\log (x))+\left(-x+x^2+(-1+x) \log (x)\right) \log ^2(x+\log (x))} \, dx","Integrate[(16*x^2 - 112*x^3 - 128*x^2*Log[x] + (-64*x^2 + 32*x^3 + (-64*x + 32*x^2)*Log[x])*Log[x + Log[x]] + (-8*x + 12*x^2 + (-8 + 12*x)*Log[x])*Log[x + Log[x]]^2 + (8*x^2 - 88*x^3 - 96*x^2*Log[x] + (-48*x^2 + 24*x^3 + (-48*x + 24*x^2)*Log[x])*Log[x + Log[x]] + (-6*x + 8*x^2 + (-6 + 8*x)*Log[x])*Log[x + Log[x]]^2)*Log[(-4*x^2 + (-x + x^2)*Log[x + Log[x]])/(4*x + Log[x + Log[x]])] + (-16*x^3 - 16*x^2*Log[x] + (-8*x^2 + 4*x^3 + (-8*x + 4*x^2)*Log[x])*Log[x + Log[x]] + (-x + x^2 + (-1 + x)*Log[x])*Log[x + Log[x]]^2)*Log[(-4*x^2 + (-x + x^2)*Log[x + Log[x]])/(4*x + Log[x + Log[x]])]^2)/(-16*x^3 - 16*x^2*Log[x] + (-8*x^2 + 4*x^3 + (-8*x + 4*x^2)*Log[x])*Log[x + Log[x]] + (-x + x^2 + (-1 + x)*Log[x])*Log[x + Log[x]]^2),x]","\int \frac{16 x^2-112 x^3-128 x^2 \log (x)+\left(-64 x^2+32 x^3+\left(-64 x+32 x^2\right) \log (x)\right) \log (x+\log (x))+\left(-8 x+12 x^2+(-8+12 x) \log (x)\right) \log ^2(x+\log (x))+\left(8 x^2-88 x^3-96 x^2 \log (x)+\left(-48 x^2+24 x^3+\left(-48 x+24 x^2\right) \log (x)\right) \log (x+\log (x))+\left(-6 x+8 x^2+(-6+8 x) \log (x)\right) \log ^2(x+\log (x))\right) \log \left(\frac{-4 x^2+\left(-x+x^2\right) \log (x+\log (x))}{4 x+\log (x+\log (x))}\right)+\left(-16 x^3-16 x^2 \log (x)+\left(-8 x^2+4 x^3+\left(-8 x+4 x^2\right) \log (x)\right) \log (x+\log (x))+\left(-x+x^2+(-1+x) \log (x)\right) \log ^2(x+\log (x))\right) \log ^2\left(\frac{-4 x^2+\left(-x+x^2\right) \log (x+\log (x))}{4 x+\log (x+\log (x))}\right)}{-16 x^3-16 x^2 \log (x)+\left(-8 x^2+4 x^3+\left(-8 x+4 x^2\right) \log (x)\right) \log (x+\log (x))+\left(-x+x^2+(-1+x) \log (x)\right) \log ^2(x+\log (x))} \, dx","x \left(-\log \left(\frac{x}{\frac{1}{x}+\frac{4}{\log (x+\log (x))}}-x\right)-2\right)^2",1,"Integrate[(16*x^2 - 112*x^3 - 128*x^2*Log[x] + (-64*x^2 + 32*x^3 + (-64*x + 32*x^2)*Log[x])*Log[x + Log[x]] + (-8*x + 12*x^2 + (-8 + 12*x)*Log[x])*Log[x + Log[x]]^2 + (8*x^2 - 88*x^3 - 96*x^2*Log[x] + (-48*x^2 + 24*x^3 + (-48*x + 24*x^2)*Log[x])*Log[x + Log[x]] + (-6*x + 8*x^2 + (-6 + 8*x)*Log[x])*Log[x + Log[x]]^2)*Log[(-4*x^2 + (-x + x^2)*Log[x + Log[x]])/(4*x + Log[x + Log[x]])] + (-16*x^3 - 16*x^2*Log[x] + (-8*x^2 + 4*x^3 + (-8*x + 4*x^2)*Log[x])*Log[x + Log[x]] + (-x + x^2 + (-1 + x)*Log[x])*Log[x + Log[x]]^2)*Log[(-4*x^2 + (-x + x^2)*Log[x + Log[x]])/(4*x + Log[x + Log[x]])]^2)/(-16*x^3 - 16*x^2*Log[x] + (-8*x^2 + 4*x^3 + (-8*x + 4*x^2)*Log[x])*Log[x + Log[x]] + (-x + x^2 + (-1 + x)*Log[x])*Log[x + Log[x]]^2), x]","F",-1
3090,1,109,27,0.2190118,"\int \frac{-32805+e^x \left(-164025 x+164025 x^2\right)+e^{2 x} \left(-328050 x^2+656100 x^3-328050 x^4\right)+e^{3 x} \left(-328050 x^3+984150 x^4-984150 x^5+328050 x^6\right)+e^{4 x} \left(-164025 x^4+656100 x^5-984150 x^6+656100 x^7-164025 x^8-13 x^{12}-4 x^{13}\right)+e^{5 x} \left(-32805 x^5+164025 x^6-328050 x^7+328050 x^8-164025 x^9+32805 x^{10}-9 x^{13}+5 x^{14}\right)}{-6561+e^x \left(-32805 x+32805 x^2\right)+e^{2 x} \left(-65610 x^2+131220 x^3-65610 x^4\right)+e^{3 x} \left(-65610 x^3+196830 x^4-196830 x^5+65610 x^6\right)+e^{4 x} \left(-32805 x^4+131220 x^5-196830 x^6+131220 x^7-32805 x^8\right)+e^{5 x} \left(-6561 x^5+32805 x^6-65610 x^7+65610 x^8-32805 x^9+6561 x^{10}\right)} \, dx","Integrate[(-32805 + E^x*(-164025*x + 164025*x^2) + E^(2*x)*(-328050*x^2 + 656100*x^3 - 328050*x^4) + E^(3*x)*(-328050*x^3 + 984150*x^4 - 984150*x^5 + 328050*x^6) + E^(4*x)*(-164025*x^4 + 656100*x^5 - 984150*x^6 + 656100*x^7 - 164025*x^8 - 13*x^12 - 4*x^13) + E^(5*x)*(-32805*x^5 + 164025*x^6 - 328050*x^7 + 328050*x^8 - 164025*x^9 + 32805*x^10 - 9*x^13 + 5*x^14))/(-6561 + E^x*(-32805*x + 32805*x^2) + E^(2*x)*(-65610*x^2 + 131220*x^3 - 65610*x^4) + E^(3*x)*(-65610*x^3 + 196830*x^4 - 196830*x^5 + 65610*x^6) + E^(4*x)*(-32805*x^4 + 131220*x^5 - 196830*x^6 + 131220*x^7 - 32805*x^8) + E^(5*x)*(-6561*x^5 + 32805*x^6 - 65610*x^7 + 65610*x^8 - 32805*x^9 + 6561*x^10)),x]","\frac{x^5+4 x^4+10 x^3+20 x^2+\frac{84 x^3-216 x^2+189 x-56}{(x-1)^4}+\frac{\left(4 e^{3 x} (x-1)^3 x^3-6 e^{2 x} (x-1)^2 x^2+4 e^x (x-1) x-1\right) x^9}{(x-1)^4 \left(e^x (x-1) x-1\right)^4}+32840 x}{6561}","x \left(\frac{x^{12}}{6561 \left(x^2-x-e^{-x}\right)^4}+5\right)",1,"(32840*x + 20*x^2 + 10*x^3 + 4*x^4 + x^5 + (-56 + 189*x - 216*x^2 + 84*x^3)/(-1 + x)^4 + (x^9*(-1 + 4*E^x*(-1 + x)*x - 6*E^(2*x)*(-1 + x)^2*x^2 + 4*E^(3*x)*(-1 + x)^3*x^3))/((-1 + x)^4*(-1 + E^x*(-1 + x)*x)^4))/6561","B",1
3091,1,61,26,0.0360824,"\int \frac{\left(20503125000 x^7+18452812500 x^{10}+7971615000 x^{11}+1992903750 x^{12}+3985807500 x^{13}+1434890700 x^{14}-693530505 x^{16}-602654094 x^{17}-258280326 x^{18}-172186884 x^{19}\right) \log (2)}{152587890625+439453125000 x^3+237304687500 x^4+79101562500 x^5+553710937500 x^6+512578125000 x^7+293878125000 x^8+485810156250 x^9+476697656250 x^{10}+330920437500 x^{11}+328796313750 x^{12}+271477777500 x^{13}+180099450000 x^{14}+137973893400 x^{15}+93382686756 x^{16}+53122842360 x^{17}+31210998489 x^{18}+15525517374 x^{19}+6356565801 x^{20}+2592369198 x^{21}+774840978 x^{22}+172186884 x^{23}+43046721 x^{24}} \, dx","Integrate[((20503125000*x^7 + 18452812500*x^10 + 7971615000*x^11 + 1992903750*x^12 + 3985807500*x^13 + 1434890700*x^14 - 693530505*x^16 - 602654094*x^17 - 258280326*x^18 - 172186884*x^19)*Log[2])/(152587890625 + 439453125000*x^3 + 237304687500*x^4 + 79101562500*x^5 + 553710937500*x^6 + 512578125000*x^7 + 293878125000*x^8 + 485810156250*x^9 + 476697656250*x^10 + 330920437500*x^11 + 328796313750*x^12 + 271477777500*x^13 + 180099450000*x^14 + 137973893400*x^15 + 93382686756*x^16 + 53122842360*x^17 + 31210998489*x^18 + 15525517374*x^19 + 6356565801*x^20 + 2592369198*x^21 + 774840978*x^22 + 172186884*x^23 + 43046721*x^24),x]","\frac{6561 x^8 \log (2)}{6561 x^{12}+13122 x^{11}+45927 x^{10}+105705 x^9+112266 x^8+218700 x^7+303750 x^6+101250 x^5+303750 x^4+562500 x^3+390625}","\frac{\log (2)}{\left(\left(\frac{25}{9 x^2}+x\right)^2+x+3\right)^2-x-3}",1,"(6561*x^8*Log[2])/(390625 + 562500*x^3 + 303750*x^4 + 101250*x^5 + 303750*x^6 + 218700*x^7 + 112266*x^8 + 105705*x^9 + 45927*x^10 + 13122*x^11 + 6561*x^12)","B",1
3092,1,34,22,0.1244304,"\int \frac{4 e^{15 e x}-x+\left(4 e^{30 e x}-30 e^{1+15 e x} x\right) \log \left(\frac{4}{x^2}\right)-30 e^{1+30 e x} x \log ^2\left(\frac{4}{x^2}\right)}{4 x+4 x^2+x^3+e^{15 e x} \left(8 x+4 x^2\right) \log \left(\frac{4}{x^2}\right)+e^{30 e x} \left(8 x+2 x^2\right) \log ^2\left(\frac{4}{x^2}\right)+4 e^{45 e x} x \log ^3\left(\frac{4}{x^2}\right)+e^{60 e x} x \log ^4\left(\frac{4}{x^2}\right)} \, dx","Integrate[(4*E^(15*E*x) - x + (4*E^(30*E*x) - 30*E^(1 + 15*E*x)*x)*Log[4/x^2] - 30*E^(1 + 30*E*x)*x*Log[4/x^2]^2)/(4*x + 4*x^2 + x^3 + E^(15*E*x)*(8*x + 4*x^2)*Log[4/x^2] + E^(30*E*x)*(8*x + 2*x^2)*Log[4/x^2]^2 + 4*E^(45*E*x)*x*Log[4/x^2]^3 + E^(60*E*x)*x*Log[4/x^2]^4),x]","\frac{1}{e^{30 e x} \log ^2\left(\frac{4}{x^2}\right)+2 e^{15 e x} \log \left(\frac{4}{x^2}\right)+x+2}","\frac{1}{\left(e^{15 e x} \log \left(\frac{4}{x^2}\right)+1\right)^2+x+1}",1,"(2 + x + 2*E^(15*E*x)*Log[4/x^2] + E^(30*E*x)*Log[4/x^2]^2)^(-1)","A",1
3093,1,22,24,0.0887858,"\int \frac{2 x^7+x^8+e^{\frac{e^4}{x^6}} \left(-6 e^4-x^7\right)+x^7 \log (4)}{3 x^8-e^{\frac{e^4}{x^6}} x^8+x^9+x^8 \log (4)+\left(-3 x^7+e^{\frac{e^4}{x^6}} x^7-x^8-x^7 \log (4)\right) \log \left(3-e^{\frac{e^4}{x^6}}+x+\log (4)\right)} \, dx","Integrate[(2*x^7 + x^8 + E^(E^4/x^6)*(-6*E^4 - x^7) + x^7*Log[4])/(3*x^8 - E^(E^4/x^6)*x^8 + x^9 + x^8*Log[4] + (-3*x^7 + E^(E^4/x^6)*x^7 - x^8 - x^7*Log[4])*Log[3 - E^(E^4/x^6) + x + Log[4]]),x]","\log \left(x-\log \left(-e^{\frac{e^4}{x^6}}+x+3+\log (4)\right)\right)","\log \left(x-\log \left(-e^{\frac{e^4}{x^6}}+x+3+\log (4)\right)\right)+4",1,"Log[x - Log[3 - E^(E^4/x^6) + x + Log[4]]]","A",1
3094,1,71,28,0.059791,"\int \frac{288-96 x-568 x^2+208 x^3+304 x^4-96 x^5-24 x^6+\left(-72 x+24 x^2+142 x^3-52 x^4-76 x^5+24 x^6+6 x^7\right) \log \left(\frac{9-3 x-8 x^2+3 x^3}{-3+3 x^2}\right)}{-9 x^3+3 x^4+17 x^5-6 x^6-8 x^7+3 x^8} \, dx","Integrate[(288 - 96*x - 568*x^2 + 208*x^3 + 304*x^4 - 96*x^5 - 24*x^6 + (-72*x + 24*x^2 + 142*x^3 - 52*x^4 - 76*x^5 + 24*x^6 + 6*x^7)*Log[(9 - 3*x - 8*x^2 + 3*x^3)/(-3 + 3*x^2)])/(-9*x^3 + 3*x^4 + 17*x^5 - 6*x^6 - 8*x^7 + 3*x^8),x]","2 \left(\frac{8}{x^2}+\frac{1}{2} \log ^2\left(\frac{3 x^3-8 x^2-3 x+9}{3 x^2-3}\right)-\frac{4 \log \left(\frac{3 x^3-8 x^2-3 x+9}{3 x^2-3}\right)}{x}\right)","\left(\frac{4}{x}-\log \left(-\frac{x}{3 \left(\frac{1}{x}-x\right)}+x-3\right)\right)^2",1,"2*(8/x^2 - (4*Log[(9 - 3*x - 8*x^2 + 3*x^3)/(-3 + 3*x^2)])/x + Log[(9 - 3*x - 8*x^2 + 3*x^3)/(-3 + 3*x^2)]^2/2)","B",1
3095,1,14,15,0.0647554,"\int \frac{-7680000+e^{4 x} (-3+2 x)+e^{3 x} (-480+240 x)+e^{2 x} (-28800+9600 x)+e^x (-768000+128000 x)}{5000 x^7} \, dx","Integrate[(-7680000 + E^(4*x)*(-3 + 2*x) + E^(3*x)*(-480 + 240*x) + E^(2*x)*(-28800 + 9600*x) + E^x*(-768000 + 128000*x))/(5000*x^7),x]","\frac{\left(e^x+40\right)^4}{10000 x^6}","\frac{\left(-\frac{e^x}{10}-4\right)^4}{x^6}",1,"(40 + E^x)^4/(10000*x^6)","A",1
3096,1,32,30,5.100026,"\int \frac{e^{\frac{3-e^x-5 x+x^2}{x}} \left(6-5 x-x^2-x^3+e^x \left(-2+x+x^2\right)+\left(-12+e^x (4-4 x)+4 x^2\right) \log \left(x^2\right)\right)}{4 x^2+4 x^3+x^4+\left(-16 x^2-8 x^3\right) \log \left(x^2\right)+16 x^2 \log ^2\left(x^2\right)} \, dx","Integrate[(E^((3 - E^x - 5*x + x^2)/x)*(6 - 5*x - x^2 - x^3 + E^x*(-2 + x + x^2) + (-12 + E^x*(4 - 4*x) + 4*x^2)*Log[x^2]))/(4*x^2 + 4*x^3 + x^4 + (-16*x^2 - 8*x^3)*Log[x^2] + 16*x^2*Log[x^2]^2),x]","\frac{e^{x-\frac{e^x}{x}+\frac{3}{x}-5}}{4 \log \left(x^2\right)-x-2}","\frac{e^{\frac{3-e^x}{x}+x-5}}{4 \log \left(x^2\right)-x-2}",1,"E^(-5 + 3/x - E^x/x + x)/(-2 - x + 4*Log[x^2])","A",1
3097,1,20,24,0.0326846,"\int \left(-2 e^{-3+2 x}+e^{-22+x-x^2} (1-2 x)\right) \, dx","Integrate[-2*E^(-3 + 2*x) + E^(-22 + x - x^2)*(1 - 2*x),x]","e^{-x^2+x-22}-e^{2 x-3}","-e^{2 x-3}+e^{-((x-2) x)-x-22}-5",1,"-E^(-3 + 2*x) + E^(-22 + x - x^2)","A",1
3098,1,28,20,0.0119727,"\int \frac{2+x^3+6 x^5+4 x^6}{-x-24 x^3+x^4+2 x^6+x^7} \, dx","Integrate[(2 + x^3 + 6*x^5 + 4*x^6)/(-x - 24*x^3 + x^4 + 2*x^6 + x^7),x]","\log \left(-x^6-2 x^5-x^3+24 x^2+1\right)-2 \log (x)","\log \left(\left(x^2+x\right)^2-\left(x+\frac{1}{x}\right)^2+x-22\right)",1,"-2*Log[x] + Log[1 + 24*x^2 - x^3 - 2*x^5 - x^6]","A",1
3099,1,26,29,0.7096564,"\int \frac{e^{-\frac{x^2}{e^x+x^2}} \left(20 x^5-45 x^6+e^{2 x} \left(20 x-45 x^2\right)+e^x \left(20 x^3-50 x^4-15 x^5\right)\right)}{e^{2 x}+2 e^x x^2+x^4} \, dx","Integrate[(20*x^5 - 45*x^6 + E^(2*x)*(20*x - 45*x^2) + E^x*(20*x^3 - 50*x^4 - 15*x^5))/(E^(x^2/(E^x + x^2))*(E^(2*x) + 2*E^x*x^2 + x^4)),x]","-5 e^{-\frac{x^2}{x^2+e^x}} x^2 (3 x-2)","e^{-\frac{x^2}{x^2+e^x}} (3 (3-5 x)+1) x^2",1,"(-5*x^2*(-2 + 3*x))/E^(x^2/(E^x + x^2))","A",1
3100,0,0,29,1.4520667,"\int \frac{\exp \left(3+e^{2 x^2}-2 e^{x^2} \log \left(\frac{5}{3+e^x}\right)+\log ^2\left(\frac{5}{3+e^x}\right)\right) \left(3 e^x+e^{2 x}+2 e^{2 x+x^2}+e^{2 x^2} \left(12 e^x x+4 e^{2 x} x\right)+\left(-2 e^{2 x}+e^{x^2} \left(-12 e^x x-4 e^{2 x} x\right)\right) \log \left(\frac{5}{3+e^x}\right)\right)}{12+4 e^x} \, dx","Integrate[(E^(3 + E^(2*x^2) - 2*E^x^2*Log[5/(3 + E^x)] + Log[5/(3 + E^x)]^2)*(3*E^x + E^(2*x) + 2*E^(2*x + x^2) + E^(2*x^2)*(12*E^x*x + 4*E^(2*x)*x) + (-2*E^(2*x) + E^x^2*(-12*E^x*x - 4*E^(2*x)*x))*Log[5/(3 + E^x)]))/(12 + 4*E^x),x]","\int \frac{\exp \left(3+e^{2 x^2}-2 e^{x^2} \log \left(\frac{5}{3+e^x}\right)+\log ^2\left(\frac{5}{3+e^x}\right)\right) \left(3 e^x+e^{2 x}+2 e^{2 x+x^2}+e^{2 x^2} \left(12 e^x x+4 e^{2 x} x\right)+\left(-2 e^{2 x}+e^{x^2} \left(-12 e^x x-4 e^{2 x} x\right)\right) \log \left(\frac{5}{3+e^x}\right)\right)}{12+4 e^x} \, dx","\frac{1}{4} e^{\left(\log \left(\frac{5}{e^x+3}\right)-e^{x^2}\right)^2+x+3}",1,"Integrate[(E^(3 + E^(2*x^2) - 2*E^x^2*Log[5/(3 + E^x)] + Log[5/(3 + E^x)]^2)*(3*E^x + E^(2*x) + 2*E^(2*x + x^2) + E^(2*x^2)*(12*E^x*x + 4*E^(2*x)*x) + (-2*E^(2*x) + E^x^2*(-12*E^x*x - 4*E^(2*x)*x))*Log[5/(3 + E^x)]))/(12 + 4*E^x), x]","F",-1
3101,1,21,28,0.1026884,"\int \frac{\left(-x-x^2\right) \log (x)-x \log ^2(x)+e^{-x+x \log (x)} \left(x+x \log ^2(x)\right)+\left(e^{-x+x \log (x)}-x \log (x)\right) \log \left(-e^{-x+x \log (x)}+x \log (x)\right)}{e^{-x+x \log (x)} x-x^2 \log (x)} \, dx","Integrate[((-x - x^2)*Log[x] - x*Log[x]^2 + E^(-x + x*Log[x])*(x + x*Log[x]^2) + (E^(-x + x*Log[x]) - x*Log[x])*Log[-E^(-x + x*Log[x]) + x*Log[x]])/(E^(-x + x*Log[x])*x - x^2*Log[x]),x]","\log (x) \log \left(x \log (x)-e^{-x} x^x\right)+x","x+\log (x) \log \left(x \log (x)-e^{x \log (x)-x}\right)-e^3",1,"x + Log[x]*Log[-(x^x/E^x) + x*Log[x]]","A",1
3102,1,44,30,0.1648265,"\int \frac{e^{4+4 x} \left(4 x^5-16 x^6+e^x \left(4 x^4-16 x^5\right)\right)+e^{4+4 x} \left(8 x^2+8 e^x x^2\right) \log \left(e^x+x\right)+e^{4+4 x} \left(-8 x^2-16 x^3+e^x \left(-8 x-16 x^2\right)\right) \log ^2\left(e^x+x\right)}{25 e^x x^6+25 x^7+e^{8+8 x} \left(e^x x^4+x^5\right)+e^{4+4 x} \left(-10 e^x x^5-10 x^6\right)+\left(50 e^x x^3+50 x^4+e^{4+4 x} \left(-10 e^x x^2-10 x^3\right)\right) \log ^2\left(e^x+x\right)+\left(25 e^x+25 x\right) \log ^4\left(e^x+x\right)} \, dx","Integrate[(E^(4 + 4*x)*(4*x^5 - 16*x^6 + E^x*(4*x^4 - 16*x^5)) + E^(4 + 4*x)*(8*x^2 + 8*E^x*x^2)*Log[E^x + x] + E^(4 + 4*x)*(-8*x^2 - 16*x^3 + E^x*(-8*x - 16*x^2))*Log[E^x + x]^2)/(25*E^x*x^6 + 25*x^7 + E^(8 + 8*x)*(E^x*x^4 + x^5) + E^(4 + 4*x)*(-10*E^x*x^5 - 10*x^6) + (50*E^x*x^3 + 50*x^4 + E^(4 + 4*x)*(-10*E^x*x^2 - 10*x^3))*Log[E^x + x]^2 + (25*E^x + 25*x)*Log[E^x + x]^4),x]","-\frac{4 e^{4 x+4} x^2}{5 \left(5 x^3-e^{4 x+4} x^2+5 \log ^2\left(x+e^x\right)\right)}","\frac{4}{\frac{e^{4 (x+1)}}{\frac{\log ^2\left(x+e^x\right)}{x^2}+x}-5}",1,"(-4*E^(4 + 4*x)*x^2)/(5*(-(E^(4 + 4*x)*x^2) + 5*x^3 + 5*Log[E^x + x]^2))","A",1
3103,1,28,28,0.1521936,"\int \frac{e^{\frac{3}{2 \log (x)}} \left(-3 x^2-3 \left(i \pi -\log \left(\frac{5}{2}\right)\right)-4 x^2 \log ^2(x)\right)}{\left(2 x^5+4 x^3 \left(i \pi -\log \left(\frac{5}{2}\right)\right)+2 x \left(i \pi -\log \left(\frac{5}{2}\right)\right)^2\right) \log ^2(x)} \, dx","Integrate[(E^(3/(2*Log[x]))*(-3*x^2 - 3*(I*Pi - Log[5/2]) - 4*x^2*Log[x]^2))/((2*x^5 + 4*x^3*(I*Pi - Log[5/2]) + 2*x*(I*Pi - Log[5/2])^2)*Log[x]^2),x]","\frac{e^{\frac{3}{2 \log (x)}}}{x^2+i \pi -\log \left(\frac{5}{2}\right)}","\frac{e^{\frac{3}{2 \log (x)}}}{x^2+i \pi -\log \left(\frac{5}{2}\right)}",1,"E^(3/(2*Log[x]))/(I*Pi + x^2 - Log[5/2])","A",1
3104,1,218,32,0.4770741,"\int \frac{-900000000-4800000000 x-9450000000 x^2-6900000000 x^3+1968750000 x^4+5400000000 x^5+1575000000 x^6-900000000 x^7-337500000 x^8-75000000 x^{10}+18750000 x^{12}+e^{2 x} \left(200000000+2900000000 x+12050000000 x^2+21475000000 x^3+14375000000 x^4-5250000000 x^5-10800000000 x^6-150000000 x^7+4650000000 x^8+500000000 x^9-1450000000 x^{10}-325000000 x^{11}+175000000 x^{12}+50000000 x^{13}\right)+e^{8 x} \left(-25000000 x^3-231250000 x^4-850000000 x^5-1525000000 x^6-1050000000 x^7+962500000 x^8+2800000000 x^9+2775000000 x^{10}+1475000000 x^{11}+418750000 x^{12}+50000000 x^{13}\right)+e^{4 x} \left(-300000000 x-3150000000 x^2-11775000000 x^3-19987500000 x^4-12150000000 x^5+8550000000 x^6+15750000000 x^7+3375000000 x^8-6300000000 x^9-3900000000 x^{10}+225000000 x^{11}+712500000 x^{12}+150000000 x^{13}\right)+e^{6 x} \left(150000000 x^2+1425000000 x^3+5175000000 x^4+8850000000 x^5+5400000000 x^6-5250000000 x^7-11550000000 x^8-7200000000 x^9-150000000 x^{10}+2025000000 x^{11}+975000000 x^{12}+150000000 x^{13}\right)+\left(e^{6 x} \left(-300000000 x-3300000000 x^2-13050000000 x^3-23850000000 x^4-16200000000 x^5+12600000000 x^6+31500000000 x^7+20700000000 x^8+900000000 x^9-5700000000 x^{10}-2850000000 x^{11}-450000000 x^{12}\right)+e^{4 x} \left(300000000+4500000000 x+19575000000 x^2+37050000000 x^3+27000000000 x^4-10800000000 x^5-28350000000 x^6-8100000000 x^7+10800000000 x^8+7500000000 x^9-225000000 x^{10}-1350000000 x^{11}-300000000 x^{12}\right)+e^{8 x} \left(75000000 x^2+750000000 x^3+2900000000 x^4+5400000000 x^5+3850000000 x^6-3500000000 x^7-10500000000 x^8-10600000000 x^9-5725000000 x^{10}-1650000000 x^{11}-200000000 x^{12}\right)+e^{2 x} \left(-1800000000-10000000000 x-20850000000 x^2-17150000000 x^3+1950000000 x^4+10800000000 x^5+2100000000 x^6-3900000000 x^7-900000000 x^8+1200000000 x^9+350000000 x^{10}-150000000 x^{11}-50000000 x^{12}\right)\right) \log (x)+\left(e^{4 x} \left(-1350000000-7800000000 x-17062500000 x^2-14850000000 x^3+2250000000 x^4+12600000000 x^5+4725000000 x^6-4500000000 x^7-3600000000 x^8+637500000 x^{10}+150000000 x^{11}\right)+e^{8 x} \left(-75000000 x-862500000 x^2-3600000000 x^3-7050000000 x^4-5250000000 x^5+4725000000 x^6+14700000000 x^7+15150000000 x^8+8325000000 x^9+2437500000 x^{10}+300000000 x^{11}\right)+e^{6 x} \left(150000000+2325000000 x+10575000000 x^2+21150000000 x^3+16200000000 x^4-9450000000 x^5-28350000000 x^6-19800000000 x^7-1350000000 x^8+5325000000 x^9+2775000000 x^{10}+450000000 x^{11}\right)\right) \log ^2(x)+\left(e^{8 x} \left(25000000+400000000 x+1900000000 x^2+4000000000 x^3+3150000000 x^4-2800000000 x^5-9100000000 x^6-9600000000 x^7-5375000000 x^8-1600000000 x^9-200000000 x^{10}\right)+e^{6 x} \left(-450000000-2700000000 x-6150000000 x^2-5400000000 x^3+2100000000 x^4+8400000000 x^5+6300000000 x^6+600000000 x^7-1650000000 x^8-900000000 x^9-150000000 x^{10}\right)\right) \log ^3(x)+e^{8 x} \left(-56250000-350000000 x-825000000 x^2-700000000 x^3+612500000 x^4+2100000000 x^5+2275000000 x^6+1300000000 x^7+393750000 x^8+50000000 x^9\right) \log ^4(x)}{x^{10}} \, dx","Integrate[(-900000000 - 4800000000*x - 9450000000*x^2 - 6900000000*x^3 + 1968750000*x^4 + 5400000000*x^5 + 1575000000*x^6 - 900000000*x^7 - 337500000*x^8 - 75000000*x^10 + 18750000*x^12 + E^(2*x)*(200000000 + 2900000000*x + 12050000000*x^2 + 21475000000*x^3 + 14375000000*x^4 - 5250000000*x^5 - 10800000000*x^6 - 150000000*x^7 + 4650000000*x^8 + 500000000*x^9 - 1450000000*x^10 - 325000000*x^11 + 175000000*x^12 + 50000000*x^13) + E^(8*x)*(-25000000*x^3 - 231250000*x^4 - 850000000*x^5 - 1525000000*x^6 - 1050000000*x^7 + 962500000*x^8 + 2800000000*x^9 + 2775000000*x^10 + 1475000000*x^11 + 418750000*x^12 + 50000000*x^13) + E^(4*x)*(-300000000*x - 3150000000*x^2 - 11775000000*x^3 - 19987500000*x^4 - 12150000000*x^5 + 8550000000*x^6 + 15750000000*x^7 + 3375000000*x^8 - 6300000000*x^9 - 3900000000*x^10 + 225000000*x^11 + 712500000*x^12 + 150000000*x^13) + E^(6*x)*(150000000*x^2 + 1425000000*x^3 + 5175000000*x^4 + 8850000000*x^5 + 5400000000*x^6 - 5250000000*x^7 - 11550000000*x^8 - 7200000000*x^9 - 150000000*x^10 + 2025000000*x^11 + 975000000*x^12 + 150000000*x^13) + (E^(6*x)*(-300000000*x - 3300000000*x^2 - 13050000000*x^3 - 23850000000*x^4 - 16200000000*x^5 + 12600000000*x^6 + 31500000000*x^7 + 20700000000*x^8 + 900000000*x^9 - 5700000000*x^10 - 2850000000*x^11 - 450000000*x^12) + E^(4*x)*(300000000 + 4500000000*x + 19575000000*x^2 + 37050000000*x^3 + 27000000000*x^4 - 10800000000*x^5 - 28350000000*x^6 - 8100000000*x^7 + 10800000000*x^8 + 7500000000*x^9 - 225000000*x^10 - 1350000000*x^11 - 300000000*x^12) + E^(8*x)*(75000000*x^2 + 750000000*x^3 + 2900000000*x^4 + 5400000000*x^5 + 3850000000*x^6 - 3500000000*x^7 - 10500000000*x^8 - 10600000000*x^9 - 5725000000*x^10 - 1650000000*x^11 - 200000000*x^12) + E^(2*x)*(-1800000000 - 10000000000*x - 20850000000*x^2 - 17150000000*x^3 + 1950000000*x^4 + 10800000000*x^5 + 2100000000*x^6 - 3900000000*x^7 - 900000000*x^8 + 1200000000*x^9 + 350000000*x^10 - 150000000*x^11 - 50000000*x^12))*Log[x] + (E^(4*x)*(-1350000000 - 7800000000*x - 17062500000*x^2 - 14850000000*x^3 + 2250000000*x^4 + 12600000000*x^5 + 4725000000*x^6 - 4500000000*x^7 - 3600000000*x^8 + 637500000*x^10 + 150000000*x^11) + E^(8*x)*(-75000000*x - 862500000*x^2 - 3600000000*x^3 - 7050000000*x^4 - 5250000000*x^5 + 4725000000*x^6 + 14700000000*x^7 + 15150000000*x^8 + 8325000000*x^9 + 2437500000*x^10 + 300000000*x^11) + E^(6*x)*(150000000 + 2325000000*x + 10575000000*x^2 + 21150000000*x^3 + 16200000000*x^4 - 9450000000*x^5 - 28350000000*x^6 - 19800000000*x^7 - 1350000000*x^8 + 5325000000*x^9 + 2775000000*x^10 + 450000000*x^11))*Log[x]^2 + (E^(8*x)*(25000000 + 400000000*x + 1900000000*x^2 + 4000000000*x^3 + 3150000000*x^4 - 2800000000*x^5 - 9100000000*x^6 - 9600000000*x^7 - 5375000000*x^8 - 1600000000*x^9 - 200000000*x^10) + E^(6*x)*(-450000000 - 2700000000*x - 6150000000*x^2 - 5400000000*x^3 + 2100000000*x^4 + 8400000000*x^5 + 6300000000*x^6 + 600000000*x^7 - 1650000000*x^8 - 900000000*x^9 - 150000000*x^10))*Log[x]^3 + E^(8*x)*(-56250000 - 350000000*x - 825000000*x^2 - 700000000*x^3 + 612500000*x^4 + 2100000000*x^5 + 2275000000*x^6 + 1300000000*x^7 + 393750000*x^8 + 50000000*x^9)*Log[x]^4)/x^10,x]","\frac{6250000 \left(x^{12}-12 x^{10}+54 x^8+72 x^7-84 x^6-216 x^5+e^{8 x} (x+1)^8 x^4-63 x^4+4 e^{6 x} (x-2) (x+1)^8 x^3+184 x^3+6 e^{4 x} (x-2)^2 (x+1)^8 x^2+216 x^2+4 e^{2 x} (x-2)^3 (x+1)^8 x+96 x+e^{8 x} (x+1)^8 \log ^4(x)-4 e^{6 x} (x+1)^8 \left(e^{2 x} x+x-2\right) \log ^3(x)+6 e^{4 x} (x+1)^8 \left(e^{2 x} x+x-2\right)^2 \log ^2(x)-4 e^{2 x} (x+1)^8 \left(e^{2 x} x+x-2\right)^3 \log (x)+16\right)}{x^9}","\frac{16 \left(\frac{5}{x}+5\right)^8 \left(x-e^{2 x} (\log (x)-x)-2\right)^4}{x}",1,"(6250000*(16 + 96*x + 216*x^2 + 184*x^3 - 63*x^4 - 216*x^5 - 84*x^6 + 72*x^7 + 54*x^8 - 12*x^10 + x^12 + 4*E^(2*x)*(-2 + x)^3*x*(1 + x)^8 + 6*E^(4*x)*(-2 + x)^2*x^2*(1 + x)^8 + 4*E^(6*x)*(-2 + x)*x^3*(1 + x)^8 + E^(8*x)*x^4*(1 + x)^8 - 4*E^(2*x)*(1 + x)^8*(-2 + x + E^(2*x)*x)^3*Log[x] + 6*E^(4*x)*(1 + x)^8*(-2 + x + E^(2*x)*x)^2*Log[x]^2 - 4*E^(6*x)*(1 + x)^8*(-2 + x + E^(2*x)*x)*Log[x]^3 + E^(8*x)*(1 + x)^8*Log[x]^4))/x^9","B",1
3105,1,103,27,2.8747595,"\int \frac{1}{3} \exp \left(-e^x+\frac{1}{3} e^{-e^x} \left(12 x^3+100 x^4+\left(-12 x^2-100 x^3\right) \log (4)\right)\right) \left(36 x^2+400 x^3+\left(-24 x-300 x^2\right) \log (4)+e^x \left(-12 x^3-100 x^4+\left(12 x^2+100 x^3\right) \log (4)\right)\right) \, dx","Integrate[(E^(-E^x + (12*x^3 + 100*x^4 + (-12*x^2 - 100*x^3)*Log[4])/(3*E^E^x))*(36*x^2 + 400*x^3 + (-24*x - 300*x^2)*Log[4] + E^x*(-12*x^3 - 100*x^4 + (12*x^2 + 100*x^3)*Log[4])))/3,x]","\frac{1}{3} \int \left(400 x^3+36 x^2+\left(-300 x^2-24 x\right) \log (4)+e^x \left(-100 x^4-12 x^3+\left(100 x^3+12 x^2\right) \log (4)\right)\right) \exp \left(\frac{1}{3} e^{-e^x} \left(100 x^4+12 x^3+\left(-100 x^3-12 x^2\right) \log (4)\right)-e^x\right) \, dx","e^{\frac{4}{3} e^{-e^x} x^2 (25 x+3) (x-\log (4))}",1,"Integrate[E^(-E^x + (12*x^3 + 100*x^4 + (-12*x^2 - 100*x^3)*Log[4])/(3*E^E^x))*(36*x^2 + 400*x^3 + (-24*x - 300*x^2)*Log[4] + E^x*(-12*x^3 - 100*x^4 + (12*x^2 + 100*x^3)*Log[4])), x]/3","F",1
3106,1,34,21,0.0997397,"\int \frac{-131072-65536 e^4-2 x^2+\left(-32768-16384 e^4\right) \log (2)+\left(-3072-1536 e^4\right) \log ^2(2)+\left(-128-64 e^4\right) \log ^3(2)+\left(-2-e^4\right) \log ^4(2)+4 x^2 \log (x)}{\left(65536 x+16384 x \log (2)+1536 x \log ^2(2)+64 x \log ^3(2)+x \log ^4(2)\right) \log ^2(x)} \, dx","Integrate[(-131072 - 65536*E^4 - 2*x^2 + (-32768 - 16384*E^4)*Log[2] + (-3072 - 1536*E^4)*Log[2]^2 + (-128 - 64*E^4)*Log[2]^3 + (-2 - E^4)*Log[2]^4 + 4*x^2*Log[x])/((65536*x + 16384*x*Log[2] + 1536*x*Log[2]^2 + 64*x*Log[2]^3 + x*Log[2]^4)*Log[x]^2),x]","\frac{2 \left(x^2+(16+\log (2))^4\right)+e^4 (16+\log (2))^4}{(16+\log (2))^4 \log (x)}","\frac{\frac{2 x^2}{(16+\log (2))^4}+e^4+2}{\log (x)}",1,"(E^4*(16 + Log[2])^4 + 2*(x^2 + (16 + Log[2])^4))/((16 + Log[2])^4*Log[x])","A",1
3107,1,34,33,0.2020226,"\int \frac{e^{\frac{1}{2} \left(e^x x^3 \log (2)+x^4 \log (2)\right)} \left(-4 x^3 \log (2)+e^x \left(-3 x^2-x^3\right) \log (2)\right) (i \pi +\log (-\log (\log (2))))^2}{18-12 e^{\frac{1}{2} \left(e^x x^3 \log (2)+x^4 \log (2)\right)}+2 e^{e^x x^3 \log (2)+x^4 \log (2)}} \, dx","Integrate[(E^((E^x*x^3*Log[2] + x^4*Log[2])/2)*(-4*x^3*Log[2] + E^x*(-3*x^2 - x^3)*Log[2])*(I*Pi + Log[-Log[Log[2]]])^2)/(18 - 12*E^((E^x*x^3*Log[2] + x^4*Log[2])/2) + 2*E^(E^x*x^3*Log[2] + x^4*Log[2])),x]","-\frac{(\pi -i \log (-\log (\log (2))))^2}{2^{\frac{1}{2} x^3 \left(x+e^x\right)}-3}","\frac{(\log (-\log (\log (2)))+i \pi )^2}{2^{\frac{1}{2} x^3 \left(x+e^x\right)}-3}",1,"-((Pi - I*Log[-Log[Log[2]]])^2/(-3 + 2^((x^3*(E^x + x))/2)))","A",1
3108,1,28,26,0.5471195,"\int \frac{5 e^2+e^4 x^2+\left(-5 e^2+e^4 \left(-x-3 x^2\right)\right) \log (x)+\left(e^4 x-2 e^4 x \log (x)\right) \log \left(e^5 x\right)}{25 x^2+10 e^2 x^4+e^4 x^6+\left(10 e^2 x^3+2 e^4 x^5\right) \log \left(e^5 x\right)+e^4 x^4 \log ^2\left(e^5 x\right)} \, dx","Integrate[(5*E^2 + E^4*x^2 + (-5*E^2 + E^4*(-x - 3*x^2))*Log[x] + (E^4*x - 2*E^4*x*Log[x])*Log[E^5*x])/(25*x^2 + 10*E^2*x^4 + E^4*x^6 + (10*E^2*x^3 + 2*E^4*x^5)*Log[E^5*x] + E^4*x^4*Log[E^5*x]^2),x]","\frac{e^2 \log (x)}{x \left(e^2 x (x+5)+e^2 x \log (x)+5\right)}","\frac{\log (x)}{x \left(x \left(x+\log \left(e^5 x\right)\right)+\frac{5}{e^2}\right)}-4",1,"(E^2*Log[x])/(x*(5 + E^2*x*(5 + x) + E^2*x*Log[x]))","A",1
3109,1,21,20,0.0847194,"\int \frac{-1-3 x+2 x^2}{16 e^{3+x}-x-2 x^2} \, dx","Integrate[(-1 - 3*x + 2*x^2)/(16*E^(3 + x) - x - 2*x^2),x]","\log \left(-2 x^2-x+16 e^{x+3}\right)-x","\log \left(8-\frac{1}{2} e^{-x-3} x (2 x+1)\right)",1,"-x + Log[16*E^(3 + x) - x - 2*x^2]","A",1
3110,1,11,20,0.0009663,"\int \frac{-3+6 x^2}{2 x^2} \, dx","Integrate[(-3 + 6*x^2)/(2*x^2),x]","3 x+\frac{3}{2 x}","2-3 \left(-x-\frac{1}{2 x}+3+\log ^2(4)\right)",1,"3/(2*x) + 3*x","A",1
3111,1,15,22,0.0152363,"\int \left(2+e^{2+8 x+x^2} \left(2+16 x+4 x^2\right)\right) \, dx","Integrate[2 + E^(2 + 8*x + x^2)*(2 + 16*x + 4*x^2),x]","2 \left(e^{x^2+8 x+2}+1\right) x","2 \left(e^{x^2+8 x+2} x+x+5\right)-\log (4)",1,"2*(1 + E^(2 + 8*x + x^2))*x","A",1
3112,1,25,19,0.0021451,"\int \frac{1}{4} e^9 \left(625 x^3+6250 x^4+15000 x^5\right) \, dx","Integrate[(E^9*(625*x^3 + 6250*x^4 + 15000*x^5))/4,x]","\frac{625}{4} e^9 \left(4 x^6+2 x^5+\frac{x^4}{4}\right)","625 e^9 \left(x+\frac{1}{4}\right)^2 x^4+\frac{1}{e^4}",1,"(625*E^9*(x^4/4 + 2*x^5 + 4*x^6))/4","A",1
3113,1,36,27,0.2400692,"\int \frac{-10 x+2 x^2+6 x^3+e^x \left(-3-x+3 x^2\right)+\left(2 e^x x+4 x^2\right) \log (x)+\left(-4-4 e^x-4 x\right) \log \left(e^x+2 x\right)}{e^x+2 x} \, dx","Integrate[(-10*x + 2*x^2 + 6*x^3 + E^x*(-3 - x + 3*x^2) + (2*E^x*x + 4*x^2)*Log[x] + (-4 - 4*E^x - 4*x)*Log[E^x + 2*x])/(E^x + 2*x),x]","x^3+x^2 \log (x)-3 x-\log ^2\left(2 x+e^x\right)-2 x \log \left(2 x+e^x\right)","-\left(x+\log \left(2 x+e^x\right)\right)^2+x (x+x (x+\log (x))-3)+2",1,"-3*x + x^3 + x^2*Log[x] - 2*x*Log[E^x + 2*x] - Log[E^x + 2*x]^2","A",1
3114,1,43,24,5.1063784,"\int \frac{\exp \left(\frac{-25-450 x-1935 x^2+810 x^3-81 x^4+\left(-90 x-810 x^2+162 x^3\right) \log (9)-81 x^2 \log ^2(9)+x^2 \log (5 x)}{x^2}\right) \left(50+450 x+x^2+810 x^3-162 x^4+\left(90 x+162 x^3\right) \log (9)\right)}{x^3} \, dx","Integrate[(E^((-25 - 450*x - 1935*x^2 + 810*x^3 - 81*x^4 + (-90*x - 810*x^2 + 162*x^3)*Log[9] - 81*x^2*Log[9]^2 + x^2*Log[5*x])/x^2)*(50 + 450*x + x^2 + 810*x^3 - 162*x^4 + (90*x + 162*x^3)*Log[9]))/x^3,x]","5\ 9^{162 x-\frac{90}{x}-810} x e^{-81 x^2-\frac{25}{x^2}+810 x-\frac{450}{x}-1935-81 \log ^2(9)}","5 x e^{-\left(\frac{5}{x}-9 (x-5-\log (9))\right)^2}",1,"5*9^(-810 - 90/x + 162*x)*E^(-1935 - 25/x^2 - 450/x + 810*x - 81*x^2 - 81*Log[9]^2)*x","A",1
3115,1,32,33,0.0508142,"\int \frac{\left(2 x^2+5 x^3-2 x^5+2 x^6\right) \log (4-\log (6))+\left(4-x^2+x^3\right) \log \left(4-x^2+x^3\right) \log (4-\log (6))}{\left(-4 x^4+x^6-x^7+\left(4 x-x^3+x^4\right) \log \left(4-x^2+x^3\right)\right) \log ^2\left(\frac{-x^3+\log \left(4-x^2+x^3\right)}{x}\right)} \, dx","Integrate[((2*x^2 + 5*x^3 - 2*x^5 + 2*x^6)*Log[4 - Log[6]] + (4 - x^2 + x^3)*Log[4 - x^2 + x^3]*Log[4 - Log[6]])/((-4*x^4 + x^6 - x^7 + (4*x - x^3 + x^4)*Log[4 - x^2 + x^3])*Log[(-x^3 + Log[4 - x^2 + x^3])/x]^2),x]","\frac{\log (4-\log (6))}{\log \left(\frac{\log \left(x^3-x^2+4\right)-x^3}{x}\right)}","\frac{\log (4-\log (6))}{\log \left(\frac{\log \left(x \left(x^2-x\right)+4\right)}{x}-x^2\right)}",1,"Log[4 - Log[6]]/Log[(-x^3 + Log[4 - x^2 + x^3])/x]","A",1
3116,1,25,25,0.759829,"\int \frac{e^x \left(54+108 x-162 x^2-135 x^3+54 x^4\right)-27 e^x x \log \left(x^2\right)}{16 x^3-8 x^4-15 x^5+4 x^6+4 x^7+\left(8 x^2-2 x^3-4 x^4\right) \log \left(x^2\right)+x \log ^2\left(x^2\right)} \, dx","Integrate[(E^x*(54 + 108*x - 162*x^2 - 135*x^3 + 54*x^4) - 27*E^x*x*Log[x^2])/(16*x^3 - 8*x^4 - 15*x^5 + 4*x^6 + 4*x^7 + (8*x^2 - 2*x^3 - 4*x^4)*Log[x^2] + x*Log[x^2]^2),x]","-\frac{27 e^x}{-2 x^3-x^2+\log \left(x^2\right)+4 x}","\frac{27 e^x}{2 x^3+x^2-\log \left(x^2\right)-4 x}",1,"(-27*E^x)/(4*x - x^2 - 2*x^3 + Log[x^2])","A",1
3117,1,22,24,0.4175455,"\int e^{x+\frac{1}{2} \left(4 x-x^2-2 x^3-2 x \log (16)\right)} \left(1+3 x-x^2-3 x^3-x \log (16)\right) \, dx","Integrate[E^(x + (4*x - x^2 - 2*x^3 - 2*x*Log[16])/2)*(1 + 3*x - x^2 - 3*x^3 - x*Log[16]),x]","16^{-x} e^{-\frac{1}{2} x \left(2 x^2+x-6\right)} x","x e^{2 x-x \left(x^2+\frac{x-2}{2}+\log (16)\right)}",1,"x/(16^x*E^((x*(-6 + x + 2*x^2))/2))","A",1
3118,1,56,22,0.0613404,"\int \frac{-16 x^7+7 x^8+e^x \left(20 x^4-16 x^5+x^6+x^7\right)+\left(8 x^7+e^x \left(-20 x^4+6 x^5+2 x^6\right)\right) \log (3+\log (2))+e^x \left(5 x^4+x^5\right) \log ^2(3+\log (2))}{4-4 x+x^2+(-4+2 x) \log (3+\log (2))+\log ^2(3+\log (2))} \, dx","Integrate[(-16*x^7 + 7*x^8 + E^x*(20*x^4 - 16*x^5 + x^6 + x^7) + (8*x^7 + E^x*(-20*x^4 + 6*x^5 + 2*x^6))*Log[3 + Log[2]] + E^x*(5*x^4 + x^5)*Log[3 + Log[2]]^2)/(4 - 4*x + x^2 + (-4 + 2*x)*Log[3 + Log[2]] + Log[3 + Log[2]]^2),x]","\frac{x^8+e^x x^6+e^x x^5 (\log (3+\log (2))-2)+x (\log (3+\log (2))-2)^7+(\log (3+\log (2))-2)^8}{x-2+\log (3+\log (2))}","x^5 \left(\frac{x^3}{x-2+\log (3+\log (2))}+e^x\right)",1,"(E^x*x^6 + x^8 + E^x*x^5*(-2 + Log[3 + Log[2]]) + x*(-2 + Log[3 + Log[2]])^7 + (-2 + Log[3 + Log[2]])^8)/(-2 + x + Log[3 + Log[2]])","B",1
3119,1,20,22,0.0163163,"\int \left(2560 x+768 x^2-2560 x^3-640 x^4+480 x^5+112 x^6+e^8 \left(10 x+3 x^2\right)+e^4 \left(-320 x-96 x^2+160 x^3+40 x^4\right)\right) \, dx","Integrate[2560*x + 768*x^2 - 2560*x^3 - 640*x^4 + 480*x^5 + 112*x^6 + E^8*(10*x + 3*x^2) + E^4*(-320*x - 96*x^2 + 160*x^3 + 40*x^4),x]","x^2 (x+5) \left(4 \left(x^2-4\right)+e^4\right)^2","x^2 (x+5) \left(e^4-4 \left(4-x^2\right)\right)^2",1,"x^2*(5 + x)*(E^4 + 4*(-4 + x^2))^2","A",1
3120,1,16,17,0.0144046,"\int \frac{8+e^{\frac{3}{4+2 x}} (9-3 x)+8 x+2 x^2}{-24-16 x+2 x^2+2 x^3} \, dx","Integrate[(8 + E^(3/(4 + 2*x))*(9 - 3*x) + 8*x + 2*x^2)/(-24 - 16*x + 2*x^2 + 2*x^3),x]","e^{\frac{3}{2 x+4}}+\log (x-3)","e^{\frac{3}{2 x+4}}+\log (x-3)-3",1,"E^(3/(4 + 2*x)) + Log[-3 + x]","A",1
3121,1,32,26,0.5661063,"\int \frac{3^{-1/x} \sqrt[x]{\log \left(x^4\right)} \left(-48+12 \log \left(x^4\right) \log \left(\frac{\log \left(x^4\right)}{3}\right)\right)}{\left(625 x^2+50 x^2 \log (4)+x^2 \log ^2(4)\right) \log \left(x^4\right)+3^{-1/x} \left(-50 x^2-2 x^2 \log (4)\right) \log ^{1+\frac{1}{x}}\left(x^4\right)+3^{-2/x} x^2 \log ^{1+\frac{2}{x}}\left(x^4\right)} \, dx","Integrate[(Log[x^4]^x^(-1)*(-48 + 12*Log[x^4]*Log[Log[x^4]/3]))/(3^x^(-1)*((625*x^2 + 50*x^2*Log[4] + x^2*Log[4]^2)*Log[x^4] + ((-50*x^2 - 2*x^2*Log[4])*Log[x^4]^(1 + x^(-1)))/3^x^(-1) + (x^2*Log[x^4]^(1 + 2/x))/3^(2/x))),x]","-\frac{4\ 3^{\frac{1}{x}+1}}{3^{\frac{1}{x}} (25+\log (4))-\sqrt[x]{\log \left(x^4\right)}}","\frac{12}{3^{-1/x} \sqrt[x]{\log \left(x^4\right)}-25-\log (4)}",1,"(-4*3^(1 + x^(-1)))/(3^x^(-1)*(25 + Log[4]) - Log[x^4]^x^(-1))","A",1
3122,1,15,30,0.0005595,"\int \frac{1}{5} (-14+14 x) \, dx","Integrate[(-14 + 14*x)/5,x]","\frac{14}{5} \left(\frac{x^2}{2}-x\right)","\left(2-\frac{7 (4-x) x+x}{5 x}\right) x+x-e^{e^5}",1,"(14*(-x + x^2/2))/5","A",1
3123,1,21,26,0.1432045,"\int \frac{-4-576 x-256 x^3+\left(81+x+72 x^2+16 x^4\right) \log \left(43046721+2125764 x+153094374 x^2+5669028 x^3+238155553 x^4+6298848 x^5+211678272 x^6+3732544 x^7+117586944 x^8+1244160 x^9+41805312 x^{10}+221184 x^{11}+9289728 x^{12}+16384 x^{13}+1179648 x^{14}+65536 x^{16}\right)}{\left(81+x+72 x^2+16 x^4\right) \log \left(43046721+2125764 x+153094374 x^2+5669028 x^3+238155553 x^4+6298848 x^5+211678272 x^6+3732544 x^7+117586944 x^8+1244160 x^9+41805312 x^{10}+221184 x^{11}+9289728 x^{12}+16384 x^{13}+1179648 x^{14}+65536 x^{16}\right)} \, dx","Integrate[(-4 - 576*x - 256*x^3 + (81 + x + 72*x^2 + 16*x^4)*Log[43046721 + 2125764*x + 153094374*x^2 + 5669028*x^3 + 238155553*x^4 + 6298848*x^5 + 211678272*x^6 + 3732544*x^7 + 117586944*x^8 + 1244160*x^9 + 41805312*x^10 + 221184*x^11 + 9289728*x^12 + 16384*x^13 + 1179648*x^14 + 65536*x^16])/((81 + x + 72*x^2 + 16*x^4)*Log[43046721 + 2125764*x + 153094374*x^2 + 5669028*x^3 + 238155553*x^4 + 6298848*x^5 + 211678272*x^6 + 3732544*x^7 + 117586944*x^8 + 1244160*x^9 + 41805312*x^10 + 221184*x^11 + 9289728*x^12 + 16384*x^13 + 1179648*x^14 + 65536*x^16]),x]","x-\log \left(\log \left(\left(16 x^4+72 x^2+x+81\right)^4\right)\right)","\log \left(\frac{e^x}{2 \log \left(\left(\left(4 x^2+9\right)^2+x\right)^4\right)}\right)-6",1,"x - Log[Log[(81 + x + 72*x^2 + 16*x^4)^4]]","A",1
3124,1,1066,31,0.8063563,"\int \frac{-1000-5000 x-6200 x^2-2900 x^3-1000 x^4-1000 x^5-400 x^6+\left(200+1850 x+1600 x^2+350 x^3+300 x^4+300 x^5\right) \log (5)+\left(-200 x-50 x^2-50 x^4\right) \log ^2(5)+\left(-200-1850 x-1600 x^2-350 x^3-300 x^4-300 x^5+\left(400 x+100 x^2+100 x^4\right) \log (5)\right) \log \left(\frac{x}{4+x+x^3}\right)+\left(-200 x-50 x^2-50 x^4\right) \log ^2\left(\frac{x}{4+x+x^3}\right)}{256 x^3+448 x^4+288 x^5+144 x^6+104 x^7+48 x^8+8 x^9+\left(-192 x^3-240 x^4-96 x^5-60 x^6-48 x^7-12 x^8\right) \log (5)+\left(48 x^3+36 x^4+6 x^5+12 x^6+6 x^7\right) \log ^2(5)+\left(-4 x^3-x^4-x^6\right) \log ^3(5)+\left(192 x^3+240 x^4+96 x^5+60 x^6+48 x^7+12 x^8+\left(-96 x^3-72 x^4-12 x^5-24 x^6-12 x^7\right) \log (5)+\left(12 x^3+3 x^4+3 x^6\right) \log ^2(5)\right) \log \left(\frac{x}{4+x+x^3}\right)+\left(48 x^3+36 x^4+6 x^5+12 x^6+6 x^7+\left(-12 x^3-3 x^4-3 x^6\right) \log (5)\right) \log ^2\left(\frac{x}{4+x+x^3}\right)+\left(4 x^3+x^4+x^6\right) \log ^3\left(\frac{x}{4+x+x^3}\right)} \, dx","Integrate[(-1000 - 5000*x - 6200*x^2 - 2900*x^3 - 1000*x^4 - 1000*x^5 - 400*x^6 + (200 + 1850*x + 1600*x^2 + 350*x^3 + 300*x^4 + 300*x^5)*Log[5] + (-200*x - 50*x^2 - 50*x^4)*Log[5]^2 + (-200 - 1850*x - 1600*x^2 - 350*x^3 - 300*x^4 - 300*x^5 + (400*x + 100*x^2 + 100*x^4)*Log[5])*Log[x/(4 + x + x^3)] + (-200*x - 50*x^2 - 50*x^4)*Log[x/(4 + x + x^3)]^2)/(256*x^3 + 448*x^4 + 288*x^5 + 144*x^6 + 104*x^7 + 48*x^8 + 8*x^9 + (-192*x^3 - 240*x^4 - 96*x^5 - 60*x^6 - 48*x^7 - 12*x^8)*Log[5] + (48*x^3 + 36*x^4 + 6*x^5 + 12*x^6 + 6*x^7)*Log[5]^2 + (-4*x^3 - x^4 - x^6)*Log[5]^3 + (192*x^3 + 240*x^4 + 96*x^5 + 60*x^6 + 48*x^7 + 12*x^8 + (-96*x^3 - 72*x^4 - 12*x^5 - 24*x^6 - 12*x^7)*Log[5] + (12*x^3 + 3*x^4 + 3*x^6)*Log[5]^2)*Log[x/(4 + x + x^3)] + (48*x^3 + 36*x^4 + 6*x^5 + 12*x^6 + 6*x^7 + (-12*x^3 - 3*x^4 - 3*x^6)*Log[5])*Log[x/(4 + x + x^3)]^2 + (4*x^3 + x^4 + x^6)*Log[x/(4 + x + x^3)]^3),x]","-\frac{25 \left(x \left(2 x^{10}-x^9+6 x^8+20 x^7-18 x^6+45 x^5+66 x^4-48 x^3+96 x^2+136 x+32\right) \log ^3\left(\frac{x}{5 \left(x^3+x+4\right)}\right)+\left(x^3+x+4\right) \left(8 x^9+(-2+\log (625)) x^8+(13-2 \log (5)) x^7+(68+8 \log (5)) x^6+(-2+26 \log (5)) x^5-4 (11+9 \log (5)) x^4+(227+32 \log (5)) x^3+8 (23+8 \log (5)) x^2-2 \left(2 x^7-x^6+4 x^5+13 x^4-18 x^3+16 x^2+32 x+8\right) \log \left(\frac{x}{x^3+x+4}\right) x+2 (-1+8 \log (5)) x-16\right) \log ^2\left(\frac{x}{5 \left(x^3+x+4\right)}\right)+\left(8 x^{13}+2 (6+5 \log (5)) x^{12}+2 \left(-14+\log ^2(5)+\log (625)\right) x^{11}+\left(160+21 \log (5)-\log ^2(5)\right) x^{10}+2 \left(71+73 \log (5)+3 \log ^2(5)\right) x^9+\left(-92+63 \log (5)+20 \log ^2(5)\right) x^8+\left(754+50 \log (5)-18 \log ^2(5)\right) x^7+\left(1072+727 \log (5)+45 \log ^2(5)\right) x^6+2 \left(94+142 \log (5)+33 \log ^2(5)\right) x^5+\left(1356-31 \log (5)-48 \log ^2(5)\right) x^4+4 \left(655+385 \log (5)+24 \log ^2(5)\right) x^3+2 \left(404+603 \log (5)+68 \log ^2(5)\right) x^2+\left(2 x^{10}-x^9+6 x^8+20 x^7-18 x^6+45 x^5+66 x^4-48 x^3+96 x^2+136 x+32\right) \log ^2\left(\frac{x}{x^3+x+4}\right) x+8 \left(-63+9 \log (5)+4 \log ^2(5)\right) x-\left(x^3+x+4\right) \left(10 x^9+4 (2+\log (5)) x^8+(11-2 \log (5)) x^7+(98+8 \log (5)) x^6+(20+26 \log (5)) x^5-4 (23+9 \log (5)) x^4+(315+32 \log (5)) x^3+8 (37+8 \log (5)) x^2+2 (11+8 \log (5)) x-16\right) \log \left(\frac{x}{x^3+x+4}\right)-32 (7+\log (25))\right) \log \left(\frac{x}{5 \left(x^3+x+4\right)}\right)-2 \left(8 x^{14}-8 (1+\log (5)) x^{13}+\left(2+6 \log (5)-\log ^2(5)\right) x^{12}-5 \left(-26+\log ^2(5)+\log (25)\right) x^{11}-4 (1+25 \log (5)) x^{10}-\left(14+23 \log (5)+24 \log ^2(5)\right) x^9+\left(656-38 \log (5)-30 \log ^2(5)\right) x^8+\left(730-549 \log (5)+13 \log ^2(5)\right) x^7+\left(230-536 \log (5)-115 \log ^2(5)\right) x^6-2 \left(-544+83 \log (5)+38 \log ^2(5)\right) x^5+2 \left(1250-539 \log (5)+20 \log ^2(5)\right) x^4-2 \left(-1156+871 \log (5)+116 \log ^2(5)\right) x^3-4 \left(-262+149 \log (5)+59 \log ^2(5)\right) x^2-\left(x^{11}+5 x^{10}+24 x^8+30 x^7-13 x^6+115 x^5+76 x^4-40 x^3+232 x^2+236 x+48\right) \log ^2\left(\frac{x}{x^3+x+4}\right) x+\left(224+220 \log (5)-48 \log ^2(5)\right) x+\left(8 x^{13}+(-6+\log (25)) x^{12}+10 (1+\log (5)) x^{11}+100 x^{10}+(23+48 \log (5)) x^9+(38+60 \log (5)) x^8+(549-26 \log (5)) x^7+(536+230 \log (5)) x^6+2 (83+76 \log (5)) x^5+(1078-80 \log (5)) x^4+2 (871+232 \log (5)) x^3+(596+472 \log (5)) x^2+4 (-55+24 \log (5)) x-112\right) \log \left(\frac{x}{x^3+x+4}\right)+16 (1+7 \log (5))\right)\right)}{4 x^2 \left(x^4-x^3+x^2+4 x+2\right)^3 \left(2 x+\log \left(\frac{x}{5 \left(x^3+x+4\right)}\right)+4\right)^2}","\left(5-\frac{5}{x \left(-\log \left(\frac{x}{x^3+x+4}\right)-2 x-4+\log (5)\right)}\right)^2",1,"(-25*(x*(32 + 136*x + 96*x^2 - 48*x^3 + 66*x^4 + 45*x^5 - 18*x^6 + 20*x^7 + 6*x^8 - x^9 + 2*x^10)*Log[x/(5*(4 + x + x^3))]^3 + (4 + x + x^3)*Log[x/(5*(4 + x + x^3))]^2*(-16 + 8*x^9 + x^7*(13 - 2*Log[5]) + 2*x*(-1 + 8*Log[5]) + 8*x^2*(23 + 8*Log[5]) + x^6*(68 + 8*Log[5]) - 4*x^4*(11 + 9*Log[5]) + x^5*(-2 + 26*Log[5]) + x^3*(227 + 32*Log[5]) + x^8*(-2 + Log[625]) - 2*x*(8 + 32*x + 16*x^2 - 18*x^3 + 13*x^4 + 4*x^5 - x^6 + 2*x^7)*Log[x/(4 + x + x^3)]) + Log[x/(5*(4 + x + x^3))]*(8*x^13 + 2*x^12*(6 + 5*Log[5]) + x^4*(1356 - 31*Log[5] - 48*Log[5]^2) + x^7*(754 + 50*Log[5] - 18*Log[5]^2) + x^10*(160 + 21*Log[5] - Log[5]^2) + 2*x^9*(71 + 73*Log[5] + 3*Log[5]^2) + 8*x*(-63 + 9*Log[5] + 4*Log[5]^2) + x^8*(-92 + 63*Log[5] + 20*Log[5]^2) + 4*x^3*(655 + 385*Log[5] + 24*Log[5]^2) + 2*x^5*(94 + 142*Log[5] + 33*Log[5]^2) + x^6*(1072 + 727*Log[5] + 45*Log[5]^2) + 2*x^2*(404 + 603*Log[5] + 68*Log[5]^2) - 32*(7 + Log[25]) + 2*x^11*(-14 + Log[5]^2 + Log[625]) - (4 + x + x^3)*(-16 + 10*x^9 + x^7*(11 - 2*Log[5]) + 4*x^8*(2 + Log[5]) + 2*x*(11 + 8*Log[5]) + 8*x^2*(37 + 8*Log[5]) + x^6*(98 + 8*Log[5]) - 4*x^4*(23 + 9*Log[5]) + x^5*(20 + 26*Log[5]) + x^3*(315 + 32*Log[5]))*Log[x/(4 + x + x^3)] + x*(32 + 136*x + 96*x^2 - 48*x^3 + 66*x^4 + 45*x^5 - 18*x^6 + 20*x^7 + 6*x^8 - x^9 + 2*x^10)*Log[x/(4 + x + x^3)]^2) - 2*(8*x^14 - 8*x^13*(1 + Log[5]) + 16*(1 + 7*Log[5]) - 4*x^10*(1 + 25*Log[5]) + x^6*(230 - 536*Log[5] - 115*Log[5]^2) + x*(224 + 220*Log[5] - 48*Log[5]^2) + x^8*(656 - 38*Log[5] - 30*Log[5]^2) + x^12*(2 + 6*Log[5] - Log[5]^2) + x^7*(730 - 549*Log[5] + 13*Log[5]^2) + 2*x^4*(1250 - 539*Log[5] + 20*Log[5]^2) - x^9*(14 + 23*Log[5] + 24*Log[5]^2) - 2*x^5*(-544 + 83*Log[5] + 38*Log[5]^2) - 4*x^2*(-262 + 149*Log[5] + 59*Log[5]^2) - 2*x^3*(-1156 + 871*Log[5] + 116*Log[5]^2) - 5*x^11*(-26 + Log[5]^2 + Log[25]) + (-112 + 100*x^10 + 8*x^13 + x^4*(1078 - 80*Log[5]) + x^7*(549 - 26*Log[5]) + 10*x^11*(1 + Log[5]) + 4*x*(-55 + 24*Log[5]) + x^9*(23 + 48*Log[5]) + x^8*(38 + 60*Log[5]) + 2*x^5*(83 + 76*Log[5]) + x^6*(536 + 230*Log[5]) + 2*x^3*(871 + 232*Log[5]) + x^2*(596 + 472*Log[5]) + x^12*(-6 + Log[25]))*Log[x/(4 + x + x^3)] - x*(48 + 236*x + 232*x^2 - 40*x^3 + 76*x^4 + 115*x^5 - 13*x^6 + 30*x^7 + 24*x^8 + 5*x^10 + x^11)*Log[x/(4 + x + x^3)]^2)))/(4*x^2*(2 + 4*x + x^2 - x^3 + x^4)^3*(4 + 2*x + Log[x/(5*(4 + x + x^3))])^2)","B",0
3125,1,22,23,0.1426242,"\int e^{-25+e^{x^3}+25 x^2-5 x^4} \left(1+50 x^2+3 e^{x^3} x^3-20 x^4\right) \, dx","Integrate[E^(-25 + E^x^3 + 25*x^2 - 5*x^4)*(1 + 50*x^2 + 3*E^x^3*x^3 - 20*x^4),x]","e^{e^{x^3}-5 \left(x^4-5 x^2+5\right)} x","e^{e^{x^3}-5 \left(x^2-5\right) x^2-25} x+5",1,"E^(E^x^3 - 5*(5 - 5*x^2 + x^4))*x","A",1
3126,1,31,30,0.0567976,"\int \frac{-e^{\frac{3 x^3+x^4+e^5 \left(6-4 x-2 x^2\right)}{x}} x+e^{\frac{3 x^3+x^4+e^5 \left(6-4 x-2 x^2\right)}{x}} \left(6 x^3+3 x^4+e^5 \left(-6-2 x^2\right)\right) \log (2 x)}{x^2 \log ^2(2 x)} \, dx","Integrate[(-(E^((3*x^3 + x^4 + E^5*(6 - 4*x - 2*x^2))/x)*x) + E^((3*x^3 + x^4 + E^5*(6 - 4*x - 2*x^2))/x)*(6*x^3 + 3*x^4 + E^5*(-6 - 2*x^2))*Log[2*x])/(x^2*Log[2*x]^2),x]","\frac{e^{(x+3) x^2+e^5 \left(-2 x+\frac{6}{x}-4\right)}}{\log (2 x)}","\frac{e^{(x+3) \left(x^2-\frac{e^5 (2 x-2)}{x}\right)}}{\log (2 x)}",1,"E^(E^5*(-4 + 6/x - 2*x) + x^2*(3 + x))/Log[2*x]","A",1
3127,1,14,23,0.0616469,"\int \frac{-4+\left(8-2 \log \left(-4 x^2\right)\right) \log \left(4-\log \left(-4 x^2\right)\right)}{-4+\log \left(-4 x^2\right)} \, dx","Integrate[(-4 + (8 - 2*Log[-4*x^2])*Log[4 - Log[-4*x^2]])/(-4 + Log[-4*x^2]),x]","-2 x \log \left(4-\log \left(-4 x^2\right)\right)","2 \left(-x \log \left(4-\log \left(-4 x^2\right)\right)+3 e^9+2\right)",1,"-2*x*Log[4 - Log[-4*x^2]]","A",1
3128,1,26,26,0.4524809,"\int \frac{e^{2-e^x-4 x} \left(-e^{2 x} x^2-4 x^3+e^x \left(2 x-6 x^2-x^3\right)\right)}{5 e^{3 x}+15 e^{2 x} x+15 e^x x^2+5 x^3} \, dx","Integrate[(E^(2 - E^x - 4*x)*(-(E^(2*x)*x^2) - 4*x^3 + E^x*(2*x - 6*x^2 - x^3)))/(5*E^(3*x) + 15*E^(2*x)*x + 15*E^x*x^2 + 5*x^3),x]","\frac{e^{-4 x-e^x+2} x^2}{5 \left(x+e^x\right)^2}","\frac{e^{-4 x-e^x+2} x^2}{5 \left(x+e^x\right)^2}",1,"(E^(2 - E^x - 4*x)*x^2)/(5*(E^x + x)^2)","A",1
3129,1,16,16,1.378687,"\int \frac{\left(-100 x+200 x^2\right) \log ^3\left(5-x+x^2\right)+\left(125-25 x+25 x^2\right) \log ^4\left(5-x+x^2\right)}{3645-729 x+729 x^2} \, dx","Integrate[((-100*x + 200*x^2)*Log[5 - x + x^2]^3 + (125 - 25*x + 25*x^2)*Log[5 - x + x^2]^4)/(3645 - 729*x + 729*x^2),x]","\frac{25}{729} x \log ^4\left(x^2-x+5\right)","\frac{25}{729} x \log ^4\left(x^2-x+5\right)",1,"(25*x*Log[5 - x + x^2]^4)/729","A",1
3130,1,29,22,0.0348705,"\int \frac{-2+e^2 (-1-4 x)-4 x+\left(-4 x-4 e^2 x\right) \log (3)+\left(-2-e^2\right) \log (x)}{e^2} \, dx","Integrate[(-2 + E^2*(-1 - 4*x) - 4*x + (-4*x - 4*E^2*x)*Log[3] + (-2 - E^2)*Log[x])/E^2,x]","-\frac{x \left(\left(1+e^2\right) x (4+\log (81))+2 \left(2+e^2\right) \log (x)\right)}{2 e^2}","x \left(\log (x)-\left(2+\frac{2}{e^2}\right) (x+x \log (3)+\log (x))\right)",1,"-1/2*(x*((1 + E^2)*x*(4 + Log[81]) + 2*(2 + E^2)*Log[x]))/E^2","A",1
3131,1,19,19,0.001874,"\int \left(-2 e^{2 x}-2 x\right) \, dx","Integrate[-2*E^(2*x) - 2*x,x]","-2 \left(\frac{x^2}{2}+\frac{e^{2 x}}{2}\right)","-x^2-e^{2 x}+e^3-\frac{41}{4}",1,"-2*(E^(2*x)/2 + x^2/2)","A",1
3132,1,147,22,0.2070271,"\int \frac{-950+170 x+2205 x^2+2184 x^3+1014 x^4+258 x^5+35 x^6+2 x^7+\left(1770-830 x-3792 x^2-2904 x^3-1014 x^4-174 x^5-12 x^6\right) \log (4)+\left(-1375+1032 x+2628 x^2+1476 x^3+345 x^4+30 x^5\right) \log ^2(4)+\left(576-600 x-924 x^2-340 x^3-40 x^4\right) \log ^3(4)+\left(-138+186 x+165 x^2+30 x^3\right) \log ^4(4)+\left(18-30 x-12 x^2\right) \log ^5(4)+(-1+2 x) \log ^6(4)}{-950 x-770 x^2+425 x^3+804 x^4+438 x^5+120 x^6+17 x^7+x^8+\left(1770 x+950 x^2-1032 x^3-1176 x^4-462 x^5-84 x^6-6 x^7\right) \log (4)+\left(-1375 x-348 x^2+900 x^3+648 x^4+165 x^5+15 x^6\right) \log ^2(4)+\left(576 x-24 x^2-372 x^3-160 x^4-20 x^5\right) \log ^3(4)+\left(-138 x+48 x^2+75 x^3+15 x^4\right) \log ^4(4)+\left(18 x-12 x^2-6 x^3\right) \log ^5(4)+\left(-x+x^2\right) \log ^6(4)} \, dx","Integrate[(-950 + 170*x + 2205*x^2 + 2184*x^3 + 1014*x^4 + 258*x^5 + 35*x^6 + 2*x^7 + (1770 - 830*x - 3792*x^2 - 2904*x^3 - 1014*x^4 - 174*x^5 - 12*x^6)*Log[4] + (-1375 + 1032*x + 2628*x^2 + 1476*x^3 + 345*x^4 + 30*x^5)*Log[4]^2 + (576 - 600*x - 924*x^2 - 340*x^3 - 40*x^4)*Log[4]^3 + (-138 + 186*x + 165*x^2 + 30*x^3)*Log[4]^4 + (18 - 30*x - 12*x^2)*Log[4]^5 + (-1 + 2*x)*Log[4]^6)/(-950*x - 770*x^2 + 425*x^3 + 804*x^4 + 438*x^5 + 120*x^6 + 17*x^7 + x^8 + (1770*x + 950*x^2 - 1032*x^3 - 1176*x^4 - 462*x^5 - 84*x^6 - 6*x^7)*Log[4] + (-1375*x - 348*x^2 + 900*x^3 + 648*x^4 + 165*x^5 + 15*x^6)*Log[4]^2 + (576*x - 24*x^2 - 372*x^3 - 160*x^4 - 20*x^5)*Log[4]^3 + (-138*x + 48*x^2 + 75*x^3 + 15*x^4)*Log[4]^4 + (18*x - 12*x^2 - 6*x^3)*Log[4]^5 + (-x + x^2)*Log[4]^6),x]","-2 \log \left(x^2+6 x-2 x \log (4)+10+\log ^2(4)-6 \log (4)\right)+\log \left(-x^5-11 x^4+4 x^4 \log (4)-44 x^3-6 x^3 \log ^2(4)+32 x^3 \log (4)-64 x^2+4 x^2 \log ^3(4)-30 x^2 \log ^2(4)+76 x^2 \log (4)+20 x-x \log ^4(4)+8 x \log ^3(4)-20 x \log ^2(4)+8 x \log (4)+95+\log ^4(4)-12 \log ^3(4)+56 \log ^2(4)-120 \log (4)\right)+\log (x)","\log (x)+\log \left(x+\frac{5}{\left((x+3-\log (4))^2+1\right)^2}-1\right)",1,"Log[x] - 2*Log[10 + 6*x + x^2 - 6*Log[4] - 2*x*Log[4] + Log[4]^2] + Log[95 + 20*x - 64*x^2 - 44*x^3 - 11*x^4 - x^5 - 120*Log[4] + 8*x*Log[4] + 76*x^2*Log[4] + 32*x^3*Log[4] + 4*x^4*Log[4] + 56*Log[4]^2 - 20*x*Log[4]^2 - 30*x^2*Log[4]^2 - 6*x^3*Log[4]^2 - 12*Log[4]^3 + 8*x*Log[4]^3 + 4*x^2*Log[4]^3 + Log[4]^4 - x*Log[4]^4]","B",1
3133,1,177,28,0.1720392,"\int \frac{25000-185350 x+e^{2 x} x+283981 x^2-34040 x^3-128940 x^4+8150 x^5+25000 x^6+5800 x^7+400 x^8+e^x \left(-100+331 x+221 x^2-320 x^3-120 x^4-10 x^5\right)+\left(15000-139120 x+253000 x^2-92000 x^3-76680 x^4+24600 x^5+13800 x^6+1400 x^7+e^x \left(-20+120 x+40 x^2-120 x^3-20 x^4\right)\right) \log (x)+\left(3000-38410 x+82240 x^2-48030 x^3-10200 x^4+9600 x^5+1800 x^6+e^x \left(10 x-10 x^3\right)\right) \log ^2(x)+\left(200-4600 x+11600 x^2-9200 x^3+1000 x^4+1000 x^5\right) \log ^3(x)+\left(-200 x+600 x^2-600 x^3+200 x^4\right) \log ^4(x)}{50 x} \, dx","Integrate[(25000 - 185350*x + E^(2*x)*x + 283981*x^2 - 34040*x^3 - 128940*x^4 + 8150*x^5 + 25000*x^6 + 5800*x^7 + 400*x^8 + E^x*(-100 + 331*x + 221*x^2 - 320*x^3 - 120*x^4 - 10*x^5) + (15000 - 139120*x + 253000*x^2 - 92000*x^3 - 76680*x^4 + 24600*x^5 + 13800*x^6 + 1400*x^7 + E^x*(-20 + 120*x + 40*x^2 - 120*x^3 - 20*x^4))*Log[x] + (3000 - 38410*x + 82240*x^2 - 48030*x^3 - 10200*x^4 + 9600*x^5 + 1800*x^6 + E^x*(10*x - 10*x^3))*Log[x]^2 + (200 - 4600*x + 11600*x^2 - 9200*x^3 + 1000*x^4 + 1000*x^5)*Log[x]^3 + (-200*x + 600*x^2 - 600*x^3 + 200*x^4)*Log[x]^4)/(50*x),x]","\frac{1}{50} \left(50 x^8+800 x^7+3800 x^6+790 x^5-27780 x^4-4060 x^3+\frac{190801 x^2}{2}-e^x \left(10 x^4+80 x^3+60 x^2-401 x+250\right)+10 (x-1)^2 \left(30 x^4+240 x^3+180 x^2-1201 x-e^x+750\right) \log ^2(x)+20 (x-1)^2 (x+5) \left(10 x^4+80 x^3+60 x^2-401 x-e^x+250\right) \log (x)-100250 x+\frac{e^{2 x}}{2}+50 (x-1)^4 \log ^4(x)+200 (x-1)^4 (x+5) \log ^3(x)\right)","\left(\frac{1}{10} \left(x+e^x\right)-(1-x)^2 (x+\log (x)+5)^2\right)^2",1,"(E^(2*x)/2 - 100250*x + (190801*x^2)/2 - 4060*x^3 - 27780*x^4 + 790*x^5 + 3800*x^6 + 800*x^7 + 50*x^8 - E^x*(250 - 401*x + 60*x^2 + 80*x^3 + 10*x^4) + 20*(-1 + x)^2*(5 + x)*(250 - E^x - 401*x + 60*x^2 + 80*x^3 + 10*x^4)*Log[x] + 10*(-1 + x)^2*(750 - E^x - 1201*x + 180*x^2 + 240*x^3 + 30*x^4)*Log[x]^2 + 200*(-1 + x)^4*(5 + x)*Log[x]^3 + 50*(-1 + x)^4*Log[x]^4)/50","B",1
3134,1,42,31,1.2773552,"\int \frac{4 x^3+\exp \left(\frac{2 x+3 x^3-x^4+\left(2+3 x^2-x^3\right) \log (x)}{2 x}\right) \left(-2-3 x^2-5 x^3+3 x^4+\left(2-3 x^2+2 x^3\right) \log (x)\right)}{2 x^2} \, dx","Integrate[(4*x^3 + E^((2*x + 3*x^3 - x^4 + (2 + 3*x^2 - x^3)*Log[x])/(2*x))*(-2 - 3*x^2 - 5*x^3 + 3*x^4 + (2 - 3*x^2 + 2*x^3)*Log[x]))/(2*x^2),x]","x^2-e^{-\frac{x^3}{2}+\frac{3 x^2}{2}+1} x^{-\frac{x^2}{2}+\frac{3 x}{2}+\frac{1}{x}}","x^2-e^{\frac{1}{2} \left(\left(\frac{2}{x^2}+3\right) x-x^2\right) (x+\log (x))}",1,"x^2 - E^(1 + (3*x^2)/2 - x^3/2)*x^(x^(-1) + (3*x)/2 - x^2/2)","A",1
3135,1,21,20,0.0120363,"\int \frac{-5+x^2+322 x^3+6400 x^6}{5 x+x^3+161 x^4+1280 x^7} \, dx","Integrate[(-5 + x^2 + 322*x^3 + 6400*x^6)/(5*x + x^3 + 161*x^4 + 1280*x^7),x]","\log \left(1280 x^6+161 x^3+x^2+5\right)-\log (x)","\log \left(\left(5 \left(16 x^2+\frac{1}{x}\right)^2+x\right) x+x\right)",1,"-Log[x] + Log[5 + x^2 + 161*x^3 + 1280*x^6]","A",1
3136,1,30,26,0.1552047,"\int \frac{48-320 x-368 x^2-96 x^3-18 x^4-21 x^5-8 x^6-x^7+\left(-144-136 x-32 x^2\right) \log \left(2 x+x^2\right)}{18 x^4+21 x^5+8 x^6+x^7} \, dx","Integrate[(48 - 320*x - 368*x^2 - 96*x^3 - 18*x^4 - 21*x^5 - 8*x^6 - x^7 + (-144 - 136*x - 32*x^2)*Log[2*x + x^2])/(18*x^4 + 21*x^5 + 8*x^6 + x^7),x]","-\frac{x^5+3 x^4-32 x-8 \log (x (x+2))}{x^3 (x+3)}","\frac{8 \left(\log \left(x^2+2 x\right)+4 x\right)}{x^3 (x+3)}-x",1,"-((-32*x + 3*x^4 + x^5 - 8*Log[x*(2 + x)])/(x^3*(3 + x)))","A",1
3137,1,9,13,0.0424803,"\int \frac{6+e^x}{8+e^x+6 x} \, dx","Integrate[(6 + E^x)/(8 + E^x + 6*x),x]","\log \left(6 x+e^x+8\right)","\log \left(2 x+e^x+4 (x+2)\right)",1,"Log[8 + E^x + 6*x]","A",1
3138,1,22,25,0.0291926,"\int \frac{-33-18 e^5-32 x-13 x^2-2 x^3}{9+24 x+22 x^2+8 x^3+x^4+e^5 \left(6+12 x+6 x^2\right)} \, dx","Integrate[(-33 - 18*E^5 - 32*x - 13*x^2 - 2*x^3)/(9 + 24*x + 22*x^2 + 8*x^3 + x^4 + E^5*(6 + 12*x + 6*x^2)),x]","\frac{3}{x+1}-\log \left((x+3)^2+6 e^5\right)","\frac{3}{x+1}-\log \left(5 \left((x+3)^2+6 e^5\right)\right)+2",1,"3/(1 + x) - Log[6*E^5 + (3 + x)^2]","A",1
3139,1,17,18,0.0433664,"\int \frac{-2 e^x-x}{-1+e^x+x} \, dx","Integrate[(-2*E^x - x)/(-1 + E^x + x),x]","-x-\log \left(-x-e^x+1\right)","-x-\log \left(-x-e^x+1\right)+14",1,"-x - Log[1 - E^x - x]","A",1
3140,1,39,25,1.4487802,"\int \exp \left(-x+2 e^{-x} \left(-4+20 x+4 x \log \left(-\frac{x}{4}\right)\right)\right) \left(14-10 x+(2-2 x) \log \left(-\frac{x}{4}\right)\right) \, dx","Integrate[E^(-x + (2*(-4 + 20*x + 4*x*Log[-1/4*x]))/E^x)*(14 - 10*x + (2 - 2*x)*Log[-1/4*x]),x]","4^{-8 e^{-x} x-1} e^{-8 e^{-x} (1-5 x)} (-x)^{8 e^{-x} x}","\frac{1}{4} e^{8 e^{-x} \left(x \left(\log \left(-\frac{x}{4}\right)+5\right)-1\right)}",1,"(4^(-1 - (8*x)/E^x)*(-x)^((8*x)/E^x))/E^((8*(1 - 5*x))/E^x)","A",1
3141,-1,0,29,180.0008475,"\int \frac{\left(-32+2 x^2-16 x^3+24 x^4\right) \log \left(\frac{-16-x^2+4 x^3-4 x^4}{x}\right)+\left(-16-x^2+4 x^3-4 x^4\right) \log ^2\left(\frac{-16-x^2+4 x^3-4 x^4}{x}\right)}{64 x^2+4 x^4-16 x^5+16 x^6} \, dx","Integrate[((-32 + 2*x^2 - 16*x^3 + 24*x^4)*Log[(-16 - x^2 + 4*x^3 - 4*x^4)/x] + (-16 - x^2 + 4*x^3 - 4*x^4)*Log[(-16 - x^2 + 4*x^3 - 4*x^4)/x]^2)/(64*x^2 + 4*x^4 - 16*x^5 + 16*x^6),x]","\text{\$Aborted}","\frac{\log ^2\left(4 \left(x-x^2\right) x-x-\frac{16}{x}\right)}{4 x}",1,"$Aborted","F",-1
3142,1,18,18,0.0158668,"\int \frac{e^{16-4 x^2} \left(4 x^3-8 x^5-8 x^6\right)}{(1+x)^5} \, dx","Integrate[(E^(16 - 4*x^2)*(4*x^3 - 8*x^5 - 8*x^6))/(1 + x)^5,x]","\frac{e^{16-4 x^2} x^4}{(x+1)^4}","\frac{e^{16-4 x^2} x^4}{(x+1)^4}",1,"(E^(16 - 4*x^2)*x^4)/(1 + x)^4","A",1
3143,1,25,26,0.078134,"\int \frac{\left(e^e (4-4 x)+80 x\right) \log ^3\left(\frac{1}{10} \left(e^e (-15-x)+20 x+e^e \log (x)\right)\right)}{20 x^2+e^e \left(-15 x-x^2\right)+e^e x \log (x)} \, dx","Integrate[((E^E*(4 - 4*x) + 80*x)*Log[(E^E*(-15 - x) + 20*x + E^E*Log[x])/10]^3)/(20*x^2 + E^E*(-15*x - x^2) + E^E*x*Log[x]),x]","\log ^4\left(\frac{1}{10} \left(20 x-e^e (x+15)+e^e \log (x)\right)\right)","\log ^4\left(2 x+\frac{1}{2} e^e \left(\frac{1}{5} (\log (x)-x)-3\right)\right)",1,"Log[(20*x - E^E*(15 + x) + E^E*Log[x])/10]^4","A",1
3144,1,50,29,1.7372253,"\int \frac{-9 x^5+3 x^6+\left(60 x^2-280 x^3+80 x^4\right) \log \left(\frac{e^{4 x}}{-3 x+x^2}\right)+\left(60 x^2-20 x^3\right) \log ^2\left(\frac{e^{4 x}}{-3 x+x^2}\right)+\left(36-168 x+48 x^2\right) \log ^3\left(\frac{e^{4 x}}{-3 x+x^2}\right)+(36-12 x) \log ^4\left(\frac{e^{4 x}}{-3 x+x^2}\right)}{-9 x^5+3 x^6} \, dx","Integrate[(-9*x^5 + 3*x^6 + (60*x^2 - 280*x^3 + 80*x^4)*Log[E^(4*x)/(-3*x + x^2)] + (60*x^2 - 20*x^3)*Log[E^(4*x)/(-3*x + x^2)]^2 + (36 - 168*x + 48*x^2)*Log[E^(4*x)/(-3*x + x^2)]^3 + (36 - 12*x)*Log[E^(4*x)/(-3*x + x^2)]^4)/(-9*x^5 + 3*x^6),x]","\frac{\log ^4\left(\frac{e^{4 x}}{(x-3) x}\right)}{x^4}+\frac{10 \log ^2\left(\frac{e^{4 x}}{(x-3) x}\right)}{3 x^2}+x-\frac{928}{3}","\left(\frac{\log ^2\left(\frac{e^{4 x}}{(x-3) x}\right)}{x^2}+\frac{5}{3}\right)^2+x",1,"-928/3 + x + (10*Log[E^(4*x)/((-3 + x)*x)]^2)/(3*x^2) + Log[E^(4*x)/((-3 + x)*x)]^4/x^4","A",1
3145,1,31,23,0.0151125,"\int \frac{16+\left(-16+8 x+8 x^2\right) \log (17)+4 \log (17) \log \left(x^2\right)}{x \log (17)} \, dx","Integrate[(16 + (-16 + 8*x + 8*x^2)*Log[17] + 4*Log[17]*Log[x^2])/(x*Log[17]),x]","4 \left(x^2+\frac{1}{4} \log ^2\left(x^2\right)+2 x+\frac{4 \log (x)}{\log (17)}-4 \log (x)\right)","\left(\log \left(x^2\right)-4+\frac{4}{\log (17)}\right)^2+(2 x+2)^2-4",1,"4*(2*x + x^2 - 4*Log[x] + (4*Log[x])/Log[17] + Log[x^2]^2/4)","A",1
3146,1,23,23,0.0538449,"\int \frac{1}{8} e^{2 e^{80 e^{4+x+x^2}}} \left(x+e^{4+80 e^{4+x+x^2}+x+x^2} \left(80 x^2+160 x^3\right)\right) \, dx","Integrate[(E^(2*E^(80*E^(4 + x + x^2)))*(x + E^(4 + 80*E^(4 + x + x^2) + x + x^2)*(80*x^2 + 160*x^3)))/8,x]","\frac{1}{16} e^{2 e^{80 e^{x^2+x+4}}} x^2","\frac{1}{16} e^{2 e^{80 e^{x^2+x+4}}} x^2",1,"(E^(2*E^(80*E^(4 + x + x^2)))*x^2)/16","A",1
3147,1,46,32,0.0672566,"\int \frac{e^{-\log ^2(3)} \left(75-80 x+23 x^2-2 x^3+e^{x+\log ^2(3)} \left(260-160 x+20 x^2\right)\right)}{50-20 x+2 x^2} \, dx","Integrate[(75 - 80*x + 23*x^2 - 2*x^3 + E^(x + Log[3]^2)*(260 - 160*x + 20*x^2))/(E^Log[3]^2*(50 - 20*x + 2*x^2)),x]","-\frac{1}{2} x^2 e^{-\log ^2(3)}+10 e^x-\frac{20 e^x}{5-x}+\frac{3}{2} x e^{-\log ^2(3)}","(3-x) \left(\frac{10 e^x}{5-x}+\frac{1}{2} x e^{-\log ^2(3)}\right)",1,"10*E^x - (20*E^x)/(5 - x) + (3*x)/(2*E^Log[3]^2) - x^2/(2*E^Log[3]^2)","A",1
3148,1,13,13,0.0000654,"\int \frac{1}{\log ^2\left(\log \left(\log \left(4+\log ^2(3)\right)\right)\right)} \, dx","Integrate[Log[Log[Log[4 + Log[3]^2]]]^(-2),x]","\frac{x}{\log ^2\left(\log \left(\log \left(4+\log ^2(3)\right)\right)\right)}","\frac{x}{\log ^2\left(\log \left(\log \left(4+\log ^2(3)\right)\right)\right)}",1,"x/Log[Log[Log[4 + Log[3]^2]]]^2","A",1
3149,1,26,26,0.0897863,"\int \frac{8-4 x+\left(-20+4 x-x^2\right) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)+4 \log \left(x^2\right) \log \left(\log \left(x^2\right)\right) \log \left(\log \left(\log \left(x^2\right)\right)\right)}{\left(20-20 x+5 x^2\right) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)} \, dx","Integrate[(8 - 4*x + (-20 + 4*x - x^2)*Log[x^2]*Log[Log[x^2]] + 4*Log[x^2]*Log[Log[x^2]]*Log[Log[Log[x^2]]])/((20 - 20*x + 5*x^2)*Log[x^2]*Log[Log[x^2]]),x]","-\frac{x^2+2 x \log \left(\log \left(\log \left(x^2\right)\right)\right)-2 x-16}{5 (x-2)}","\frac{1}{5} x \left(\frac{2 \left(\log \left(\log \left(\log \left(x^2\right)\right)\right)-2 x\right)}{2-x}-5\right)",1,"-1/5*(-16 - 2*x + x^2 + 2*x*Log[Log[Log[x^2]]])/(-2 + x)","A",1
3150,1,8,10,0.0010281,"\int \frac{1}{e^4 (2+x)} \, dx","Integrate[1/(E^4*(2 + x)),x]","\frac{\log (x+2)}{e^4}","\frac{\log (3 (x+2))}{e^4}",1,"Log[2 + x]/E^4","A",1
3151,1,32,33,1.3997719,"\int \frac{24 x^2+6 x^3+e^{\frac{e^{\frac{1}{2} (-5-3 x+\log (4+x))}+x^2}{x}} \left(16 x+12 x^2+2 x^3+e^{\frac{1}{2} (-5-3 x+\log (4+x))} \left(-8-13 x-3 x^2\right)\right)}{8+2 x} \, dx","Integrate[(24*x^2 + 6*x^3 + E^((E^((-5 - 3*x + Log[4 + x])/2) + x^2)/x)*(16*x + 12*x^2 + 2*x^3 + E^((-5 - 3*x + Log[4 + x])/2)*(-8 - 13*x - 3*x^2)))/(8 + 2*x),x]","x^2 \left(x+e^{x+\frac{e^{-\frac{3 x}{2}-\frac{5}{2}} \sqrt{x+4}}{x}}\right)","x^2 \left(x+e^{x+\frac{e^{\frac{1}{2} (-x+\log (x+4)-5)-x}}{x}}\right)",1,"x^2*(E^(x + (E^(-5/2 - (3*x)/2)*Sqrt[4 + x])/x) + x)","A",1
3152,1,25,21,0.0467546,"\int \frac{-48-9 x+2 x^2+(80-10 x) \log (x)+(40-5 x) \log ^2(x)+(-8+x) \log \left(\frac{1}{4} \left(-8 x+x^2\right)\right)}{-8+x} \, dx","Integrate[(-48 - 9*x + 2*x^2 + (80 - 10*x)*Log[x] + (40 - 5*x)*Log[x]^2 + (-8 + x)*Log[(-8*x + x^2)/4])/(-8 + x),x]","x^2+5 x-5 x \log ^2(x)+x \log \left(\frac{1}{4} (x-8) x\right)","x \left(x-5 \log ^2(x)+\log \left(\left(\frac{x}{4}-2\right) x\right)+5\right)",1,"5*x + x^2 - 5*x*Log[x]^2 + x*Log[((-8 + x)*x)/4]","A",1
3153,1,22,22,0.3040414,"\int \frac{-2 x^4+2 e^{1+x} x^4+\left(12 x^3-4 e^{1+x} x^3+4 x^4\right) \log \left(-3+e^{1+x}-x\right)+\left(e^{1+2 x}+e^x (-3-x)\right) \log ^3\left(-3+e^{1+x}-x\right)}{\left(-3+e^{1+x}-x\right) \log ^3\left(-3+e^{1+x}-x\right)} \, dx","Integrate[(-2*x^4 + 2*E^(1 + x)*x^4 + (12*x^3 - 4*E^(1 + x)*x^3 + 4*x^4)*Log[-3 + E^(1 + x) - x] + (E^(1 + 2*x) + E^x*(-3 - x))*Log[-3 + E^(1 + x) - x]^3)/((-3 + E^(1 + x) - x)*Log[-3 + E^(1 + x) - x]^3),x]","e^x-\frac{x^4}{\log ^2\left(-x+e^{x+1}-3\right)}","e^x-\frac{x^4}{\log ^2\left(-x+e^{x+1}-3\right)}",1,"E^x - x^4/Log[-3 + E^(1 + x) - x]^2","A",1
3154,1,97,33,0.0442878,"\int \frac{9+55 x^2-42 x^3-9 x^4-8 x^5-5 x^6+\left(-36 x^4+16 x^5+20 x^6+24 x^7\right) \log (5)+\left(24 x^5-10 x^6-12 x^7-42 x^8\right) \log ^2(5)+32 x^9 \log ^3(5)-9 x^{10} \log ^4(5)}{25 x^2} \, dx","Integrate[(9 + 55*x^2 - 42*x^3 - 9*x^4 - 8*x^5 - 5*x^6 + (-36*x^4 + 16*x^5 + 20*x^6 + 24*x^7)*Log[5] + (24*x^5 - 10*x^6 - 12*x^7 - 42*x^8)*Log[5]^2 + 32*x^9*Log[5]^3 - 9*x^10*Log[5]^4)/(25*x^2),x]","\frac{1}{25} \left(x^9 \left(-\log ^4(5)\right)+4 x^8 \log ^3(5)-6 x^7 \log ^2(5)-2 x^6 (\log (5)-2) \log (5)-x^5 \left(1+2 \log ^2(5)-4 \log (5)\right)+2 x^4 \left(-1+3 \log ^2(5)+\log (25)\right)-3 x^3 (1+\log (625))-21 x^2+55 x-\frac{9}{x}\right)","x \left(-\frac{1}{25} \left(\left(x^2 \log (5)-x\right)^2+x-\frac{3}{x}+1\right)^2-x+2\right)",1,"(-9/x + 55*x - 21*x^2 - 2*x^6*(-2 + Log[5])*Log[5] - 6*x^7*Log[5]^2 + 4*x^8*Log[5]^3 - x^9*Log[5]^4 - x^5*(1 - 4*Log[5] + 2*Log[5]^2) + 2*x^4*(-1 + 3*Log[5]^2 + Log[25]) - 3*x^3*(1 + Log[625]))/25","B",1
3155,1,14,14,0.0093437,"\int \frac{e^{-2-e^x} \left(-2-2 e^x x\right)}{x^2} \, dx","Integrate[(E^(-2 - E^x)*(-2 - 2*E^x*x))/x^2,x]","\frac{2 e^{-e^x-2}}{x}","\frac{2 e^{-e^x-2}}{x}",1,"(2*E^(-2 - E^x))/x","A",1
3156,1,21,21,0.0636529,"\int \frac{(-5-e) e^x+e^{2 x}+\left(-e^x x \log (x)+\left(-5 x-e x+e^x x\right) \log \left(5+e-e^x\right) \log (x)\right) \log (\log (x))}{\left(e^{2 x} x+e^x (-5 x-e x)\right) \log (x) \log (\log (x))} \, dx","Integrate[((-5 - E)*E^x + E^(2*x) + (-(E^x*x*Log[x]) + (-5*x - E*x + E^x*x)*Log[5 + E - E^x]*Log[x])*Log[Log[x]])/((E^(2*x)*x + E^x*(-5*x - E*x))*Log[x]*Log[Log[x]]),x]","\log (\log (\log (x)))-e^{-x} \log \left(-e^x+5+e\right)","\log (\log (\log (x)))-e^{-x} \log \left(-e^x+5+e\right)",1,"-(Log[5 + E - E^x]/E^x) + Log[Log[Log[x]]]","A",1
3157,1,17,18,0.0391575,"\int \frac{1}{3} e^{x^2+\frac{1}{3} \left(-2+3 e^4+2 x\right)} (2+6 x) \, dx","Integrate[(E^(x^2 + (-2 + 3*E^4 + 2*x)/3)*(2 + 6*x))/3,x]","e^{x^2+\frac{2 x}{3}+e^4-\frac{2}{3}}","e^{x^2+\frac{1}{3} (2 x-2)+e^4}",1,"E^(-2/3 + E^4 + (2*x)/3 + x^2)","A",1
3158,1,24,25,0.0337675,"\int \frac{54-18 x+3 x^2+e^{x/3} x^3+18 x \log (2)}{3 x^3} \, dx","Integrate[(54 - 18*x + 3*x^2 + E^(x/3)*x^3 + 18*x*Log[2])/(3*x^3),x]","-\frac{9}{x^2}+e^{x/3}+\log (x)-\frac{6 (\log (2)-1)}{x}","-\frac{(x+x (-\log (2))-3)^2}{x^2}+e^{x/3}+\log (x)",1,"E^(x/3) - 9/x^2 - (6*(-1 + Log[2]))/x + Log[x]","A",1
3159,1,19,21,0.1360802,"\int \frac{-6 x+e^{3+x^2} \left(-1-10 x^2\right)+\left(-x-2 e^{3+x^2} x^2\right) \log (x)+\left(5 e^{3+x^2}+5 x+\left(e^{3+x^2}+x\right) \log (x)\right) \log \left(5 e^{3+x^2}+5 x+\left(e^{3+x^2}+x\right) \log (x)\right)}{\left(5 e^{3+x^2}+5 x+\left(e^{3+x^2}+x\right) \log (x)\right) \log ^2\left(5 e^{3+x^2}+5 x+\left(e^{3+x^2}+x\right) \log (x)\right)} \, dx","Integrate[(-6*x + E^(3 + x^2)*(-1 - 10*x^2) + (-x - 2*E^(3 + x^2)*x^2)*Log[x] + (5*E^(3 + x^2) + 5*x + (E^(3 + x^2) + x)*Log[x])*Log[5*E^(3 + x^2) + 5*x + (E^(3 + x^2) + x)*Log[x]])/((5*E^(3 + x^2) + 5*x + (E^(3 + x^2) + x)*Log[x])*Log[5*E^(3 + x^2) + 5*x + (E^(3 + x^2) + x)*Log[x]]^2),x]","\frac{x}{\log \left(\left(e^{x^2+3}+x\right) (\log (x)+5)\right)}","\frac{x}{\log \left(\left(e^{x^2+3}+x\right) (\log (x)+5)\right)}-5",1,"x/Log[(E^(3 + x^2) + x)*(5 + Log[x])]","A",1
3160,1,58,26,0.0322082,"\int \frac{-9-6 x-x^2-192 x^3+192 x^4-8 x^5-20 x^6+\left(48 x^3-48 x^4+2 x^5+5 x^6\right) \log (4)}{-36-24 x-4 x^2+\left(9+6 x+x^2\right) \log (4)} \, dx","Integrate[(-9 - 6*x - x^2 - 192*x^3 + 192*x^4 - 8*x^5 - 20*x^6 + (48*x^3 - 48*x^4 + 2*x^5 + 5*x^6)*Log[4])/(-36 - 24*x - 4*x^2 + (9 + 6*x + x^2)*Log[4]),x]","-\frac{-\left(x^6 (\log (4)-4)\right)+4 x^5 (\log (4)-4)-4 x^4 (\log (4)-4)+x^2-6 x (585 \log (4)-2341)+42129-10530 \log (4)}{(x+3) (\log (4)-4)}","\frac{(x-2)^2 x^4}{x+3}+\frac{x}{4-\log (4)}-4",1,"-((42129 + x^2 - 4*x^4*(-4 + Log[4]) + 4*x^5*(-4 + Log[4]) - x^6*(-4 + Log[4]) - 10530*Log[4] - 6*x*(-2341 + 585*Log[4]))/((3 + x)*(-4 + Log[4])))","B",1
3161,1,7,27,0.0002611,"\int -\frac{8}{5 x^2} \, dx","Integrate[-8/(5*x^2),x]","\frac{8}{5 x}","\frac{4}{5} \left(\frac{2}{x}+1-\log \left(\frac{\log (3)}{5 e^4}\right)+3 \log (2)\right)",1,"8/(5*x)","A",1
3162,1,18,22,0.1192574,"\int \frac{-15 e^{2 x}+e^x (4-4 x)+\left(-12+90 e^x\right) \log (\log (4))-135 \log ^2(\log (4))}{e^{2 x}-6 e^x \log (\log (4))+9 \log ^2(\log (4))} \, dx","Integrate[(-15*E^(2*x) + E^x*(4 - 4*x) + (-12 + 90*E^x)*Log[Log[4]] - 135*Log[Log[4]]^2)/(E^(2*x) - 6*E^x*Log[Log[4]] + 9*Log[Log[4]]^2),x]","\frac{4 x}{e^x-3 \log (\log (4))}-15 x","x \left(-\frac{1}{x}+\frac{4}{e^x-3 \log (\log (4))}-15\right)",1,"-15*x + (4*x)/(E^x - 3*Log[Log[4]])","A",1
3163,1,23,26,0.056537,"\int \frac{-13 x^6+11 x^7+\left(7 x^6-6 x^7\right) \log (x)}{1-2 x+x^2} \, dx","Integrate[(-13*x^6 + 11*x^7 + (7*x^6 - 6*x^7)*Log[x])/(1 - 2*x + x^2),x]","\frac{2 x^7+x^7 (-\log (x))-2 x+2}{x-1}","\frac{4 x^7 (2-\log (x))}{x^2-(2-x)^2}",1,"(2 - 2*x + 2*x^7 - x^7*Log[x])/(-1 + x)","A",1
3164,1,29,29,0.2663668,"\int \frac{e^4 x+e^{\frac{256-32 x^2+x^4}{e^4}} \left(e^4 (-4+x)-256 x^2+64 x^3+16 x^4-4 x^5\right)+e^4 (4-x) \log (4-x)}{e^{5+\frac{2 \left(256-32 x^2+x^4\right)}{e^4}} (-4+x)+e^{5+\frac{256-32 x^2+x^4}{e^4}} (8-2 x) \log (4-x)+e^5 (-4+x) \log ^2(4-x)} \, dx","Integrate[(E^4*x + E^((256 - 32*x^2 + x^4)/E^4)*(E^4*(-4 + x) - 256*x^2 + 64*x^3 + 16*x^4 - 4*x^5) + E^4*(4 - x)*Log[4 - x])/(E^(5 + (2*(256 - 32*x^2 + x^4))/E^4)*(-4 + x) + E^(5 + (256 - 32*x^2 + x^4)/E^4)*(8 - 2*x)*Log[4 - x] + E^5*(-4 + x)*Log[4 - x]^2),x]","\frac{x}{e \left(e^{\frac{\left(x^2-16\right)^2}{e^4}}-\log (4-x)\right)}","\frac{x}{e \left(e^{\frac{\left(x^2-16\right)^2}{e^4}}-\log (4-x)\right)}",1,"x/(E*(E^((-16 + x^2)^2/E^4) - Log[4 - x]))","A",1
3165,1,21,27,0.3633538,"\int \frac{-1+6 x-x^2+3 \log (x)}{\left(12 x^2-4 x^3+4 x \log (x)\right) \log \left(\frac{2 x^3}{3 x-x^2+\log (x)}\right)+\left(3 x^2-x^3+x \log (x)\right) \log \left(\frac{2 x^3}{3 x-x^2+\log (x)}\right) \log \left(\log \left(\frac{2 x^3}{3 x-x^2+\log (x)}\right)\right)} \, dx","Integrate[(-1 + 6*x - x^2 + 3*Log[x])/((12*x^2 - 4*x^3 + 4*x*Log[x])*Log[(2*x^3)/(3*x - x^2 + Log[x])] + (3*x^2 - x^3 + x*Log[x])*Log[(2*x^3)/(3*x - x^2 + Log[x])]*Log[Log[(2*x^3)/(3*x - x^2 + Log[x])]]),x]","\log \left(\log \left(\log \left(\frac{2 x^3}{\log (x)-(x-3) x}\right)\right)+4\right)","\log \left(3 \left(-\log \left(\log \left(\frac{2 x^2}{-x+\frac{\log (x)}{x}+3}\right)\right)-4\right)\right)",1,"Log[4 + Log[Log[(2*x^3)/(-((-3 + x)*x) + Log[x])]]]","A",1
3166,1,16,20,0.007351,"\int \frac{-12+4 x+e^3 x^4}{4 x+e^3 x^4} \, dx","Integrate[(-12 + 4*x + E^3*x^4)/(4*x + E^3*x^4),x]","\log \left(e^3 x^3+4\right)+x-3 \log (x)","\log \left(\frac{4-x^4}{x^3}+x+e^3\right)+x+1",1,"x - 3*Log[x] + Log[4 + E^3*x^3]","A",1
3167,1,17,17,0.0463931,"\int \frac{-x+\left(2+e^{5/4}+x\right) \log \left(10+5 e^{5/4}+5 x\right)}{\left(2 x+e^{5/4} x+x^2\right) \log \left(10+5 e^{5/4}+5 x\right)} \, dx","Integrate[(-x + (2 + E^(5/4) + x)*Log[10 + 5*E^(5/4) + 5*x])/((2*x + E^(5/4)*x + x^2)*Log[10 + 5*E^(5/4) + 5*x]),x]","\log (x)-\log \left(\log \left(5 \left(x+e^{5/4}+2\right)\right)\right)","\log \left(\frac{33 x}{\log \left(5 \left(x+e^{5/4}+2\right)\right)}\right)",1,"Log[x] - Log[Log[5*(2 + E^(5/4) + x)]]","A",1
3168,1,32,30,0.1926606,"\int \frac{\exp \left(\frac{e^{e^3} (25-5 x)}{-x-5 e^{e^3} x+5 \log ^2(x)}\right) \left(25 e^{e^3} x+125 e^{2 e^3} x+e^{e^3} (-250+50 x) \log (x)-25 e^{e^3} x \log ^2(x)\right)}{x^3+10 e^{e^3} x^3+25 e^{2 e^3} x^3+\left(-10 x^2-50 e^{e^3} x^2\right) \log ^2(x)+25 x \log ^4(x)} \, dx","Integrate[(E^((E^E^3*(25 - 5*x))/(-x - 5*E^E^3*x + 5*Log[x]^2))*(25*E^E^3*x + 125*E^(2*E^3)*x + E^E^3*(-250 + 50*x)*Log[x] - 25*E^E^3*x*Log[x]^2))/(x^3 + 10*E^E^3*x^3 + 25*E^(2*E^3)*x^3 + (-10*x^2 - 50*E^E^3*x^2)*Log[x]^2 + 25*x*Log[x]^4),x]","\exp \left(-\frac{5 e^{e^3} (x-5)}{-5 e^{e^3} x-x+5 \log ^2(x)}\right)","e^{\frac{x-5}{x+e^{-e^3} \left(\frac{x}{5}-\log ^2(x)\right)}}",1,"E^((-5*E^E^3*(-5 + x))/(-x - 5*E^E^3*x + 5*Log[x]^2))","A",1
3169,1,23,23,0.0322799,"\int \frac{\exp \left(\frac{60-5 x \log \left(\frac{e}{4+4 \log (5)+\log ^2(5)}\right)}{x \log \left(\frac{e}{4+4 \log (5)+\log ^2(5)}\right)}\right) \left(-60 \log (x)+x \log \left(\frac{e}{4+4 \log (5)+\log ^2(5)}\right)\right)}{x^2 \log \left(\frac{e}{4+4 \log (5)+\log ^2(5)}\right)} \, dx","Integrate[(E^((60 - 5*x*Log[E/(4 + 4*Log[5] + Log[5]^2)])/(x*Log[E/(4 + 4*Log[5] + Log[5]^2)]))*(-60*Log[x] + x*Log[E/(4 + 4*Log[5] + Log[5]^2)]))/(x^2*Log[E/(4 + 4*Log[5] + Log[5]^2)]),x]","e^{\frac{60}{x \log \left(\frac{e}{(2+\log (5))^2}\right)}-5} \log (x)","e^{\frac{60}{x \log \left(\frac{e}{(2+\log (5))^2}\right)}-5} \log (x)",1,"E^(-5 + 60/(x*Log[E/(2 + Log[5])^2]))*Log[x]","A",1
3170,1,97,19,0.3415429,"\int \frac{\exp \left(\frac{8589934592-38654705664 x+81604378624 x^2-107374182400 x^3+98650030080 x^4-67175972864 x^5+35114713088 x^6-14394851328 x^7+4685824000 x^8-1218314240 x^9+253034496 x^{10}-41746432 x^{11}+5404672 x^{12}-537600 x^{13}+39680 x^{14}-2048 x^{15}+66 x^{16}-x^{17}-x^{34}}{4294967296-17179869184 x+32212254720 x^2-37580963840 x^3+30534533120 x^4-18320719872 x^5+8396996608 x^6-2998927360 x^7+843448320 x^8-187432960 x^9+32800768 x^{10}-4472832 x^{11}+465920 x^{12}-35840 x^{13}+1920 x^{14}-64 x^{15}+x^{16}}\right) \left(51539607552-219043332096 x+438086664192 x^2-547608330240 x^3+479157288960 x^4-311452237824 x^5+155726118912 x^6-61178118144 x^7+19118161920 x^8-4779540480 x^9+955908096 x^{10}-152076288 x^{11}+19009536 x^{12}-1827840 x^{13}+130560 x^{14}-6528 x^{15}+204 x^{16}-3 x^{17}+408 x^{33}-54 x^{34}\right)}{-17179869184+73014444032 x-146028888064 x^2+182536110080 x^3-159719096320 x^4+103817412608 x^5-51908706304 x^6+20392706048 x^7-6372720640 x^8+1593180160 x^9-318636032 x^{10}+50692096 x^{11}-6336512 x^{12}+609280 x^{13}-43520 x^{14}+2176 x^{15}-68 x^{16}+x^{17}} \, dx","Integrate[(E^((8589934592 - 38654705664*x + 81604378624*x^2 - 107374182400*x^3 + 98650030080*x^4 - 67175972864*x^5 + 35114713088*x^6 - 14394851328*x^7 + 4685824000*x^8 - 1218314240*x^9 + 253034496*x^10 - 41746432*x^11 + 5404672*x^12 - 537600*x^13 + 39680*x^14 - 2048*x^15 + 66*x^16 - x^17 - x^34)/(4294967296 - 17179869184*x + 32212254720*x^2 - 37580963840*x^3 + 30534533120*x^4 - 18320719872*x^5 + 8396996608*x^6 - 2998927360*x^7 + 843448320*x^8 - 187432960*x^9 + 32800768*x^10 - 4472832*x^11 + 465920*x^12 - 35840*x^13 + 1920*x^14 - 64*x^15 + x^16))*(51539607552 - 219043332096*x + 438086664192*x^2 - 547608330240*x^3 + 479157288960*x^4 - 311452237824*x^5 + 155726118912*x^6 - 61178118144*x^7 + 19118161920*x^8 - 4779540480*x^9 + 955908096*x^10 - 152076288*x^11 + 19009536*x^12 - 1827840*x^13 + 130560*x^14 - 6528*x^15 + 204*x^16 - 3*x^17 + 408*x^33 - 54*x^34))/(-17179869184 + 73014444032*x - 146028888064*x^2 + 182536110080*x^3 - 159719096320*x^4 + 103817412608*x^5 - 51908706304*x^6 + 20392706048*x^7 - 6372720640*x^8 + 1593180160*x^9 - 318636032*x^10 + 50692096*x^11 - 6336512*x^12 + 609280*x^13 - 43520*x^14 + 2176*x^15 - 68*x^16 + x^17),x]","3 \exp \left(-\frac{x^{34}+x^{17}-66 x^{16}+2048 x^{15}-39680 x^{14}+537600 x^{13}-5404672 x^{12}+41746432 x^{11}-253034496 x^{10}+1218314240 x^9-4685824000 x^8+14394851328 x^7-35114713088 x^6+67175972864 x^5-98650030080 x^4+107374182400 x^3-81604378624 x^2+38654705664 x-8589934592}{(x-4)^{16}}\right)","3 e^{-\frac{x^{34}}{(x-4)^{16}}-x+2}",1,"3/E^((-8589934592 + 38654705664*x - 81604378624*x^2 + 107374182400*x^3 - 98650030080*x^4 + 67175972864*x^5 - 35114713088*x^6 + 14394851328*x^7 - 4685824000*x^8 + 1218314240*x^9 - 253034496*x^10 + 41746432*x^11 - 5404672*x^12 + 537600*x^13 - 39680*x^14 + 2048*x^15 - 66*x^16 + x^17 + x^34)/(-4 + x)^16)","B",1
3171,1,20,28,0.095094,"\int \frac{27+4 e^{-\frac{1}{-3+x}}-18 x+3 x^2+e^x \left(144-96 x+16 x^2\right)}{9-6 x+x^2} \, dx","Integrate[(27 + 4/E^(-3 + x)^(-1) - 18*x + 3*x^2 + E^x*(144 - 96*x + 16*x^2))/(9 - 6*x + x^2),x]","3 x+16 e^x+4 e^{\frac{1}{3-x}}","-x+4 \left(x+4 e^x+e^{\frac{1}{3-x}}+16 e^{25}\right)-4",1,"4*E^(3 - x)^(-1) + 16*E^x + 3*x","A",1
3172,1,33,32,0.1369512,"\int \frac{\left(-2-2 e^{4 x+2 x^2}+4 x+4 x^2\right) \log ^2\left(\frac{25 e^{-x}}{4}\right)+\left(-2 x-2 e^{4 x+2 x^2} x\right) \log \left(\frac{25 e^{-x}}{4}\right) \log \left(e^{-4 x-2 x^2} \left(x^2+e^{4 x+2 x^2} x^2\right)\right)}{\left(x+e^{4 x+2 x^2} x\right) \log ^2\left(e^{-4 x-2 x^2} \left(x^2+e^{4 x+2 x^2} x^2\right)\right)} \, dx","Integrate[((-2 - 2*E^(4*x + 2*x^2) + 4*x + 4*x^2)*Log[25/(4*E^x)]^2 + (-2*x - 2*E^(4*x + 2*x^2)*x)*Log[25/(4*E^x)]*Log[E^(-4*x - 2*x^2)*(x^2 + E^(4*x + 2*x^2)*x^2)])/((x + E^(4*x + 2*x^2)*x)*Log[E^(-4*x - 2*x^2)*(x^2 + E^(4*x + 2*x^2)*x^2)]^2),x]","\frac{\log ^2\left(\frac{25 e^{-x}}{4}\right)}{\log \left(\left(e^{-2 x^2-4 x}+1\right) x^2\right)}","\frac{\log ^2\left(\frac{25 e^{-x}}{4}\right)}{\log \left(x \left(e^{-x (2 x+4)} x+x\right)\right)}",1,"Log[25/(4*E^x)]^2/Log[(1 + E^(-4*x - 2*x^2))*x^2]","A",1
3173,1,47,22,0.0521664,"\int \frac{-108+72 x-18 x^2-4 x^3+x^4+\left(-54+36 x-9 x^2+x^3\right) \log (4)+\left(-108 x+72 x^2-18 x^3+2 x^4\right) \log \left(\frac{-18+6 x-x^2}{-3+x}\right)}{-54+36 x-9 x^2+x^3} \, dx","Integrate[(-108 + 72*x - 18*x^2 - 4*x^3 + x^4 + (-54 + 36*x - 9*x^2 + x^3)*Log[4] + (-108*x + 72*x^2 - 18*x^3 + 2*x^4)*Log[(-18 + 6*x - x^2)/(-3 + x)])/(-54 + 36*x - 9*x^2 + x^3),x]","x^2 \log \left(-\frac{x^2-6 x+18}{x-3}\right)+x (2+\log (4))+36 \tan ^{-1}\left(\frac{3}{x-3}\right)+36 \tan ^{-1}\left(\frac{x-3}{3}\right)","x \left(x \log \left(\frac{x^2}{3-x}+6\right)+2+\log (4)\right)",1,"36*ArcTan[3/(-3 + x)] + 36*ArcTan[(-3 + x)/3] + x*(2 + Log[4]) + x^2*Log[-((18 - 6*x + x^2)/(-3 + x))]","B",1
3174,1,29,28,0.1060807,"\int \frac{320-5184 x+860 x^2+116 x^3+3 x^4+\left(-640 x+4928 x^2-712 x^3-108 x^4-3 x^5\right) \log \left(-4 x+x^2\right)+\left(-16 x+4 x^2+\left(16 x^2-4 x^3\right) \log \left(-4 x+x^2\right)\right) \log \left(x-x^2 \log \left(-4 x+x^2\right)\right)}{4800 x-720 x^2-108 x^3-3 x^4+\left(-4800 x^2+720 x^3+108 x^4+3 x^5\right) \log \left(-4 x+x^2\right)} \, dx","Integrate[(320 - 5184*x + 860*x^2 + 116*x^3 + 3*x^4 + (-640*x + 4928*x^2 - 712*x^3 - 108*x^4 - 3*x^5)*Log[-4*x + x^2] + (-16*x + 4*x^2 + (16*x^2 - 4*x^3)*Log[-4*x + x^2])*Log[x - x^2*Log[-4*x + x^2]])/(4800*x - 720*x^2 - 108*x^3 - 3*x^4 + (-4800*x^2 + 720*x^3 + 108*x^4 + 3*x^5)*Log[-4*x + x^2]),x]","\frac{1}{3} \left(\frac{4 \log \left(x-x^2 \log ((x-4) x)\right)}{x+20}-3 x\right)","\frac{4 \log \left(x-x^2 \log ((x-4) x)\right)}{3 (x+20)}-x-8",1,"(-3*x + (4*Log[x - x^2*Log[(-4 + x)*x]])/(20 + x))/3","A",1
3175,1,35,21,0.1241941,"\int \frac{-2 x^3-2 x^2 \log (3)+\left(8 x^3+7 x^2 \log (3)\right) \log (x)+\left(-16 x^3-12 x^2 \log (3)\right) \log ^2(x)+\left(-24 x+16 x^3+\left(-12+12 x^2\right) \log (3)\right) \log ^3(x)}{4 \log ^3(x)} \, dx","Integrate[(-2*x^3 - 2*x^2*Log[3] + (8*x^3 + 7*x^2*Log[3])*Log[x] + (-16*x^3 - 12*x^2*Log[3])*Log[x]^2 + (-24*x + 16*x^3 + (-12 + 12*x^2)*Log[3])*Log[x]^3)/(4*Log[x]^3),x]","\frac{x (x+\log (3)) \left(x^2+4 \left(x^2-3\right) \log ^2(x)-4 x^2 \log (x)\right)}{4 \log ^2(x)}","x (x+\log (3)) \left(\left(x-\frac{x}{2 \log (x)}\right)^2-3\right)",1,"(x*(x + Log[3])*(x^2 - 4*x^2*Log[x] + 4*(-3 + x^2)*Log[x]^2))/(4*Log[x]^2)","A",1
3176,1,28,29,0.0408065,"\int \frac{5-2 x+x^2+e^{-2+x^2} \left(-1+12 x-23 x^2+14 x^3-2 x^4\right)}{1-2 x+x^2} \, dx","Integrate[(5 - 2*x + x^2 + E^(-2 + x^2)*(-1 + 12*x - 23*x^2 + 14*x^3 - 2*x^4))/(1 - 2*x + x^2),x]","-e^{x^2-2} x+5 e^{x^2-2}+x-\frac{4}{x-1}","(5-x) \left(e^{x^2-2}-\frac{x}{x^2-x}\right)+x+4",1,"5*E^(-2 + x^2) - 4/(-1 + x) + x - E^(-2 + x^2)*x","A",1
3177,1,25,25,0.0575871,"\int \frac{e^{\frac{1}{2} (-6-x)} (-2-x)}{e^{\frac{1}{2} (-6-x)} x-x^2} \, dx","Integrate[(E^((-6 - x)/2)*(-2 - x))/(E^((-6 - x)/2)*x - x^2),x]","-x-2 \log (x)+2 \log \left(1-e^{\frac{x}{2}+3} x\right)","\log \left(\frac{9 \left(x-e^{\frac{x-6}{2}-x}\right)^2}{x^2}\right)",1,"-x - 2*Log[x] + 2*Log[1 - E^(3 + x/2)*x]","A",1
3178,1,13,18,0.0072069,"\int \left(3-16 e^{-3+4 x}\right) \, dx","Integrate[3 - 16*E^(-3 + 4*x),x]","3 x-4 e^{4 x-3}","3 x-4 e^{4 x-3}-\frac{4}{e^4}",1,"-4*E^(-3 + 4*x) + 3*x","A",1
3179,1,23,22,0.0221744,"\int e^{-15+2 e^{-3+x}} \left(-82944 e^3 x^3-331776 e^6 x^3-497664 e^9 x^3-331776 e^{12} x^3-82944 e^{15} x^3+e^x \left(-41472 x^4-165888 e^3 x^4-248832 e^6 x^4-165888 e^9 x^4-41472 e^{12} x^4\right)\right) \, dx","Integrate[E^(-15 + 2*E^(-3 + x))*(-82944*E^3*x^3 - 331776*E^6*x^3 - 497664*E^9*x^3 - 331776*E^12*x^3 - 82944*E^15*x^3 + E^x*(-41472*x^4 - 165888*E^3*x^4 - 248832*E^6*x^4 - 165888*E^9*x^4 - 41472*E^12*x^4)),x]","-20736 \left(1+e^3\right)^4 e^{2 e^{x-3}-12} x^4","4-20736 e^{2 e^{x-3}} \left(\frac{x}{e^3}+x\right)^4",1,"-20736*E^(-12 + 2*E^(-3 + x))*(1 + E^3)^4*x^4","A",1
3180,1,34,38,0.1487223,"\int \frac{\exp \left(5+x+\frac{e^{5+x} \left(244-40 x+4 x^2\right)}{36 x+9 e^{2 x} x+36 x^2}\right) \left(-976-976 x+992 x^2-144 x^3+16 x^4+e^{2 x} \left(-244-244 x+44 x^2-4 x^3\right)\right)}{144 x^2+9 e^{4 x} x^2+288 x^3+144 x^4+e^{2 x} \left(72 x^2+72 x^3\right)} \, dx","Integrate[(E^(5 + x + (E^(5 + x)*(244 - 40*x + 4*x^2))/(36*x + 9*E^(2*x)*x + 36*x^2))*(-976 - 976*x + 992*x^2 - 144*x^3 + 16*x^4 + E^(2*x)*(-244 - 244*x + 44*x^2 - 4*x^3)))/(144*x^2 + 9*E^(4*x)*x^2 + 288*x^3 + 144*x^4 + E^(2*x)*(72*x^2 + 72*x^3)),x]","\exp \left(\frac{4 e^{x+5} \left(x^2-10 x+61\right)}{9 x \left(4 x+e^{2 x}+4\right)}\right)","\exp \left(\frac{e^{x+5} \left(\frac{1}{9} (5-x)^2+4\right)}{\left(x+\frac{e^{2 x}}{4}\right) x+x}\right)",1,"E^((4*E^(5 + x)*(61 - 10*x + x^2))/(9*x*(4 + E^(2*x) + 4*x)))","A",1
3181,1,17,21,0.1019122,"\int \frac{960-40 \log (4 x)-60 \log ^2(4 x)}{768 x^4-96 x^4 \log ^2(4 x)+3 x^4 \log ^4(4 x)} \, dx","Integrate[(960 - 40*Log[4*x] - 60*Log[4*x]^2)/(768*x^4 - 96*x^4*Log[4*x]^2 + 3*x^4*Log[4*x]^4),x]","\frac{20}{3 x^3 \left(\log ^2(4 x)-16\right)}","\frac{5}{3 x^3 \left(\frac{1}{4} \log ^2(4 x)-4\right)}",1,"20/(3*x^3*(-16 + Log[4*x]^2))","A",1
3182,1,6,13,0.0000799,"\int \frac{1}{\log (3)} \, dx","Integrate[Log[3]^(-1),x]","\frac{x}{\log (3)}","\frac{x}{\log (3)}+e^4-7+\log (29)",1,"x/Log[3]","A",1
3183,1,16,17,0.0061842,"\int \frac{1}{5} \left(5 x^3+e^x (1+x)\right) \, dx","Integrate[(5*x^3 + E^x*(1 + x))/5,x]","\frac{x^4}{4}+\frac{e^x x}{5}","\frac{x^4}{4}+\frac{e^x x}{5}+2",1,"(E^x*x)/5 + x^4/4","A",1
3184,1,27,25,0.1447801,"\int \frac{\left(960-960 x+300 x^2-30 x^3+e^x \left(-960+960 x-300 x^2+30 x^3\right)\right) \log (-2+x)+\left(120-60 x+e^x (-120+60 x)\right) \log ^2(-2+x)+\left(-480 x+240 x^2-30 x^3+e^x \left(480 x-240 x^2+30 x^3\right)+\left(480 x-360 x^2+60 x^3+e^x \left(-1440 x+1320 x^2-360 x^3+30 x^4\right)\right) \log (-2+x)+e^x \left(-120 x+60 x^2\right) \log ^2(-2+x)\right) \log (x)}{-512 x+768 x^2-448 x^3+128 x^4-18 x^5+x^6+\left(-128 x+128 x^2-40 x^3+4 x^4\right) \log (-2+x)+\left(-8 x+4 x^2\right) \log ^2(-2+x)} \, dx","Integrate[((960 - 960*x + 300*x^2 - 30*x^3 + E^x*(-960 + 960*x - 300*x^2 + 30*x^3))*Log[-2 + x] + (120 - 60*x + E^x*(-120 + 60*x))*Log[-2 + x]^2 + (-480*x + 240*x^2 - 30*x^3 + E^x*(480*x - 240*x^2 + 30*x^3) + (480*x - 360*x^2 + 60*x^3 + E^x*(-1440*x + 1320*x^2 - 360*x^3 + 30*x^4))*Log[-2 + x] + E^x*(-120*x + 60*x^2)*Log[-2 + x]^2)*Log[x])/(-512*x + 768*x^2 - 448*x^3 + 128*x^4 - 18*x^5 + x^6 + (-128*x + 128*x^2 - 40*x^3 + 4*x^4)*Log[-2 + x] + (-8*x + 4*x^2)*Log[-2 + x]^2),x]","\frac{30 \left(e^x-1\right) \log (x-2) \log (x)}{(x-4)^2+2 \log (x-2)}","\frac{30 \left(e^x-1\right) \log (x)}{\frac{(x-4)^2}{\log (x-2)}+2}",1,"(30*(-1 + E^x)*Log[-2 + x]*Log[x])/((-4 + x)^2 + 2*Log[-2 + x])","A",1
3185,1,19,22,0.0099945,"\int \left(-1+12 x^3+e^{e^x} \left(4 x+2 e^x x^2\right)\right) \, dx","Integrate[-1 + 12*x^3 + E^E^x*(4*x + 2*E^x*x^2),x]","3 x^4+2 e^{e^x} x^2-x","3 x^4+2 \left(e^{e^x} x^2+4\right)-x",1,"-x + 2*E^E^x*x^2 + 3*x^4","A",1
3186,1,40,30,0.0632578,"\int \frac{768 x^2-64 x^3-448 x^4+56 x^5-256 x^6+e^{2 x} \left(144 x^2-84 x^4-48 x^6\right)+e^{3 x} \left(12 x^2-7 x^4-4 x^6\right)+e^x \left(576 x^2-16 x^3-328 x^4+14 x^5-206 x^6+8 x^8\right)}{1024-3584 x^2+5184 x^4-3584 x^6+1024 x^8+e^{3 x} \left(16-56 x^2+81 x^4-56 x^6+16 x^8\right)+e^{2 x} \left(192-672 x^2+972 x^4-672 x^6+192 x^8\right)+e^x \left(768-2688 x^2+3888 x^4-2688 x^6+768 x^8\right)} \, dx","Integrate[(768*x^2 - 64*x^3 - 448*x^4 + 56*x^5 - 256*x^6 + E^(2*x)*(144*x^2 - 84*x^4 - 48*x^6) + E^(3*x)*(12*x^2 - 7*x^4 - 4*x^6) + E^x*(576*x^2 - 16*x^3 - 328*x^4 + 14*x^5 - 206*x^6 + 8*x^8))/(1024 - 3584*x^2 + 5184*x^4 - 3584*x^6 + 1024*x^8 + E^(3*x)*(16 - 56*x^2 + 81*x^4 - 56*x^6 + 16*x^8) + E^(2*x)*(192 - 672*x^2 + 972*x^4 - 672*x^6 + 192*x^8) + E^x*(768 - 2688*x^2 + 3888*x^4 - 2688*x^6 + 768*x^8)),x]","\frac{\left(-x+8 e^x+e^{2 x}+16\right) x^3}{\left(e^x+4\right)^2 \left(4 x^4-7 x^2+4\right)}","\frac{x-\frac{x^2}{\left(e^x+4\right)^2}}{\left(\frac{2}{x}-2 x\right)^2+1}",1,"((16 + 8*E^x + E^(2*x) - x)*x^3)/((4 + E^x)^2*(4 - 7*x^2 + 4*x^4))","A",1
3187,1,85,20,0.0331944,"\int \frac{1280 e^6 x^4+1024 x^5+2048 e^3 x^5+768 x^6}{\left(e^{12}+4 e^9 x+x^2+2 x^3+x^4+e^6 \left(2 x+6 x^2\right)+e^3 \left(4 x^2+4 x^3\right)\right) \log ^4(2)} \, dx","Integrate[(1280*E^6*x^4 + 1024*x^5 + 2048*E^3*x^5 + 768*x^6)/((E^12 + 4*E^9*x + x^2 + 2*x^3 + x^4 + E^6*(2*x + 6*x^2) + E^3*(4*x^2 + 4*x^3))*Log[2]^4),x]","\frac{256 \left(x \left(x^4+x+1\right)+e^9 \left(4 x^2+24 x+6\right)+e^6 \left(10 x^2+22 x+1\right)+2 e^3 x (3 x+4)+2 e^{12} (4 x+5)+4 e^{15}\right)}{\left(x^2+2 e^3 x+x+e^6\right) \log ^4(2)}","\frac{256 x^5}{\left(\left(x+e^3\right)^2+x\right) \log ^4(2)}",1,"(256*(4*E^15 + 2*E^3*x*(4 + 3*x) + 2*E^12*(5 + 4*x) + E^9*(6 + 24*x + 4*x^2) + E^6*(1 + 22*x + 10*x^2) + x*(1 + x + x^4)))/((E^6 + x + 2*E^3*x + x^2)*Log[2]^4)","B",1
3188,1,142,30,0.2138286,"\int \frac{\left(-18 x+2 x^3\right) \log (5)+\left(-18-6 x+\left(-6 x^2-2 x^3\right) \log (5)\right) \log \left(\frac{3+x^2 \log (5)}{\log (5)}\right)+\left(54-18 x+\left(18 x^2-6 x^3\right) \log (5)\right) \log \left(\frac{3+x^2 \log (5)}{\log (5)}\right) \log \left(\frac{\log \left(\frac{3+x^2 \log (5)}{\log (5)}\right)}{9-6 x+x^2}\right)+\left(9-3 x+\left(3 x^2-x^3\right) \log (5)\right) \log \left(\frac{3+x^2 \log (5)}{\log (5)}\right) \log \left(\frac{\log \left(\frac{3+x^2 \log (5)}{\log (5)}\right)}{9-6 x+x^2}\right) \log \left(\log \left(\frac{\log \left(\frac{3+x^2 \log (5)}{\log (5)}\right)}{9-6 x+x^2}\right)\right)}{\left(-81+81 x-27 x^2+3 x^3+\left(-27 x^2+27 x^3-9 x^4+x^5\right) \log (5)\right) \log \left(\frac{3+x^2 \log (5)}{\log (5)}\right) \log \left(\frac{\log \left(\frac{3+x^2 \log (5)}{\log (5)}\right)}{9-6 x+x^2}\right)+\left(-54+36 x-6 x^2+\left(-18 x^2+12 x^3-2 x^4\right) \log (5)\right) \log \left(\frac{3+x^2 \log (5)}{\log (5)}\right) \log \left(\frac{\log \left(\frac{3+x^2 \log (5)}{\log (5)}\right)}{9-6 x+x^2}\right) \log \left(\log \left(\frac{\log \left(\frac{3+x^2 \log (5)}{\log (5)}\right)}{9-6 x+x^2}\right)\right)+\left(-9+3 x+\left(-3 x^2+x^3\right) \log (5)\right) \log \left(\frac{3+x^2 \log (5)}{\log (5)}\right) \log \left(\frac{\log \left(\frac{3+x^2 \log (5)}{\log (5)}\right)}{9-6 x+x^2}\right) \log ^2\left(\log \left(\frac{\log \left(\frac{3+x^2 \log (5)}{\log (5)}\right)}{9-6 x+x^2}\right)\right)} \, dx","Integrate[((-18*x + 2*x^3)*Log[5] + (-18 - 6*x + (-6*x^2 - 2*x^3)*Log[5])*Log[(3 + x^2*Log[5])/Log[5]] + (54 - 18*x + (18*x^2 - 6*x^3)*Log[5])*Log[(3 + x^2*Log[5])/Log[5]]*Log[Log[(3 + x^2*Log[5])/Log[5]]/(9 - 6*x + x^2)] + (9 - 3*x + (3*x^2 - x^3)*Log[5])*Log[(3 + x^2*Log[5])/Log[5]]*Log[Log[(3 + x^2*Log[5])/Log[5]]/(9 - 6*x + x^2)]*Log[Log[Log[(3 + x^2*Log[5])/Log[5]]/(9 - 6*x + x^2)]])/((-81 + 81*x - 27*x^2 + 3*x^3 + (-27*x^2 + 27*x^3 - 9*x^4 + x^5)*Log[5])*Log[(3 + x^2*Log[5])/Log[5]]*Log[Log[(3 + x^2*Log[5])/Log[5]]/(9 - 6*x + x^2)] + (-54 + 36*x - 6*x^2 + (-18*x^2 + 12*x^3 - 2*x^4)*Log[5])*Log[(3 + x^2*Log[5])/Log[5]]*Log[Log[(3 + x^2*Log[5])/Log[5]]/(9 - 6*x + x^2)]*Log[Log[Log[(3 + x^2*Log[5])/Log[5]]/(9 - 6*x + x^2)]] + (-9 + 3*x + (-3*x^2 + x^3)*Log[5])*Log[(3 + x^2*Log[5])/Log[5]]*Log[Log[(3 + x^2*Log[5])/Log[5]]/(9 - 6*x + x^2)]*Log[Log[Log[(3 + x^2*Log[5])/Log[5]]/(9 - 6*x + x^2)]]^2),x]","\frac{x^3 (-\log (25))+(x+3) \left(x^2 \log (5)+3\right) \log \left(x^2+\frac{3}{\log (5)}\right) \left((x-3) \log \left(\frac{\log \left(x^2+\frac{3}{\log (5)}\right)}{(x-3)^2}\right)+2\right)+18 x \log (5)}{\left(\left(x^2 \log (5)+3\right) \log \left(x^2+\frac{3}{\log (5)}\right) \left((x-3) \log \left(\frac{\log \left(x^2+\frac{3}{\log (5)}\right)}{(x-3)^2}\right)+2\right)-2 (x-3) x \log (5)\right) \left(-\log \left(\log \left(\frac{\log \left(x^2+\frac{3}{\log (5)}\right)}{(x-3)^2}\right)\right)+x-3\right)}","\frac{x+3}{-\log \left(\log \left(\frac{\log \left(x^2+\frac{3}{\log (5)}\right)}{(x-3)^2}\right)\right)+x-3}",1,"(18*x*Log[5] - x^3*Log[25] + (3 + x)*(3 + x^2*Log[5])*Log[x^2 + 3/Log[5]]*(2 + (-3 + x)*Log[Log[x^2 + 3/Log[5]]/(-3 + x)^2]))/((-2*(-3 + x)*x*Log[5] + (3 + x^2*Log[5])*Log[x^2 + 3/Log[5]]*(2 + (-3 + x)*Log[Log[x^2 + 3/Log[5]]/(-3 + x)^2]))*(-3 + x - Log[Log[Log[x^2 + 3/Log[5]]/(-3 + x)^2]]))","B",1
3189,1,24,25,0.0089423,"\int \frac{-4-10 x-14 x^2-6 x^3}{4 x+4 x^2+3 x^3+x^4} \, dx","Integrate[(-4 - 10*x - 14*x^2 - 6*x^3)/(4*x + 4*x^2 + 3*x^3 + x^4),x]","-2 \left(\log \left(x^2+x+2\right)+\frac{\log (x)}{2}+\frac{1}{2} \log (x+2)\right)","\log \left(\frac{4}{x (x+2) \left(x^2+x+2\right)^2 (\log (5)-3)}\right)",1,"-2*(Log[x]/2 + Log[2 + x]/2 + Log[2 + x + x^2])","A",1
3190,0,0,25,0.5295142,"\int \frac{-30+3 e^{2 x}+e^{9 x+x^2} \left(1-e^{2 x}-2 x\right)+\left(-6+2 e^{9 x+x^2}\right) \log \left(-3+e^{9 x+x^2}\right)}{-15-3 e^{2 x} x+e^{9 x+x^2} \left(5+e^{2 x} x\right)+\left(-3+e^{9 x+x^2}\right) \log \left(-3+e^{9 x+x^2}\right)} \, dx","Integrate[(-30 + 3*E^(2*x) + E^(9*x + x^2)*(1 - E^(2*x) - 2*x) + (-6 + 2*E^(9*x + x^2))*Log[-3 + E^(9*x + x^2)])/(-15 - 3*E^(2*x)*x + E^(9*x + x^2)*(5 + E^(2*x)*x) + (-3 + E^(9*x + x^2))*Log[-3 + E^(9*x + x^2)]),x]","\int \frac{-30+3 e^{2 x}+e^{9 x+x^2} \left(1-e^{2 x}-2 x\right)+\left(-6+2 e^{9 x+x^2}\right) \log \left(-3+e^{9 x+x^2}\right)}{-15-3 e^{2 x} x+e^{9 x+x^2} \left(5+e^{2 x} x\right)+\left(-3+e^{9 x+x^2}\right) \log \left(-3+e^{9 x+x^2}\right)} \, dx","\log \left(\frac{3}{x+e^{-2 x} \left(\log \left(e^{x (x+9)}-3\right)+5\right)}\right)",1,"Integrate[(-30 + 3*E^(2*x) + E^(9*x + x^2)*(1 - E^(2*x) - 2*x) + (-6 + 2*E^(9*x + x^2))*Log[-3 + E^(9*x + x^2)])/(-15 - 3*E^(2*x)*x + E^(9*x + x^2)*(5 + E^(2*x)*x) + (-3 + E^(9*x + x^2))*Log[-3 + E^(9*x + x^2)]), x]","F",-1
3191,1,17,13,0.0023883,"\int \frac{4 \log \left(5 e^4 x^2\right)}{x} \, dx","Integrate[(4*Log[5*E^4*x^2])/x,x]","\log ^2\left(x^2\right)+4 \log (5) \log (x)+16 \log (x)","\log ^2\left(5 e^4 x^2\right)+25",1,"16*Log[x] + 4*Log[5]*Log[x] + Log[x^2]^2","A",1
3192,1,22,25,0.2229646,"\int \frac{e^{\frac{x^2}{22+e^x}} \left(132 x+e^x \left(6 x-3 x^2\right)\right)}{-7260+484 e^5+e^{2 x} \left(-15+e^5\right)+e^x \left(-660+44 e^5\right)} \, dx","Integrate[(E^(x^2/(22 + E^x))*(132*x + E^x*(6*x - 3*x^2)))/(-7260 + 484*E^5 + E^(2*x)*(-15 + E^5) + E^x*(-660 + 44*E^5)),x]","\frac{3 e^{\frac{x^2}{e^x+22}}}{e^5-15}","\frac{e^{\frac{x^2}{e^x+22}}}{\frac{e^5}{3}-5}",1,"(3*E^(x^2/(22 + E^x)))/(-15 + E^5)","A",1
3193,1,51,24,0.0787304,"\int \frac{2 e^{5 x}+e^{4 x} (14-8 x)+8 x+24 x^2+14 x^3-2 x^4+e^{3 x} \left(-14-40 x+12 x^2\right)+e^{2 x} \left(8+58 x+36 x^2-8 x^3\right)+e^x \left(-30 x-60 x^2-8 x^3+2 x^4\right)}{64+e^{3 x}+e^{2 x} (12-3 x)-48 x+12 x^2-x^3+e^x \left(48-24 x+3 x^2\right)} \, dx","Integrate[(2*E^(5*x) + E^(4*x)*(14 - 8*x) + 8*x + 24*x^2 + 14*x^3 - 2*x^4 + E^(3*x)*(-14 - 40*x + 12*x^2) + E^(2*x)*(8 + 58*x + 36*x^2 - 8*x^3) + E^x*(-30*x - 60*x^2 - 8*x^3 + 2*x^4))/(64 + E^(3*x) + E^(2*x)*(12 - 3*x) - 48*x + 12*x^2 - x^3 + E^x*(48 - 24*x + 3*x^2)),x]","x^2+10 x+e^{2 x}+\frac{(x+16)^2}{\left(-x+e^x+4\right)^2}-2 e^x (x+4)-\frac{16 (x+16)}{-x+e^x+4}","\frac{\left(\left(e^x-x\right)^2+x\right)^2}{\left(-x+e^x+4\right)^2}",1,"E^(2*x) + 10*x + x^2 - 2*E^x*(4 + x) - (16*(16 + x))/(4 + E^x - x) + (16 + x)^2/(4 + E^x - x)^2","B",1
3194,1,39,23,0.0102802,"\int \frac{256 e^8+48 x^5-72 x^6+e^4 \left(-128 x^2+96 x^3\right)}{9 x^5} \, dx","Integrate[(256*E^8 + 48*x^5 - 72*x^6 + E^4*(-128*x^2 + 96*x^3))/(9*x^5),x]","\frac{8}{9} \left(-\frac{8 e^8}{x^4}-\frac{9 x^2}{2}+\frac{8 e^4}{x^2}+6 x-\frac{12 e^4}{x}\right)","1-4 \left(\frac{4 \left(x^2+e^4\right)}{3 x^2}+x-2\right)^2",1,"(8*((-8*E^8)/x^4 + (8*E^4)/x^2 - (12*E^4)/x + 6*x - (9*x^2)/2))/9","A",1
3195,1,293,21,0.164356,"\int \frac{\left(-8-32 x+48 x^2\right) \log \left(x+2 x^2-2 x^3\right)}{-25 x-50 x^2+50 x^3} \, dx","Integrate[((-8 - 32*x + 48*x^2)*Log[x + 2*x^2 - 2*x^3])/(-25*x - 50*x^2 + 50*x^3),x]","\frac{8}{25} \left(\log \left(-2 x^3+2 x^2+x\right) \log (x)+\log \left(4 x-2 \left(1-\sqrt{3}\right)\right) \log \left(-2 x^3+2 x^2+x\right)+\log \left(4 x-2 \left(1+\sqrt{3}\right)\right) \log \left(-2 x^3+2 x^2+x\right)-\frac{1}{2} \log ^2(x)-\frac{1}{2} \log ^2\left(4 x-2 \left(1-\sqrt{3}\right)\right)-\frac{1}{2} \log ^2\left(4 x-2 \left(1+\sqrt{3}\right)\right)-\log \left(\frac{-2 x-\sqrt{3}+1}{1-\sqrt{3}}\right) \log (x)-\log \left(-2 \left(1-\sqrt{3}\right)\right) \log (x)-\log \left(-\frac{-2 x-\sqrt{3}+1}{2 \sqrt{3}}\right) \log \left(4 x-2 \left(1+\sqrt{3}\right)\right)-\log \left(\frac{2 x}{1+\sqrt{3}}\right) \log \left(4 x-2 \left(1+\sqrt{3}\right)\right)-\log \left(\frac{1}{2} \left(1+\sqrt{3}\right)\right) \log \left(4 x-2 \left(1+\sqrt{3}\right)\right)-\log \left(4 \sqrt{3}\right) \log \left(4 x-2 \left(1+\sqrt{3}\right)\right)\right)","\frac{4}{25} \log ^2\left(x-2 x \left(x^2-x\right)\right)+2",1,"(8*(-(Log[-2*(1 - Sqrt[3])]*Log[x]) - Log[(1 - Sqrt[3] - 2*x)/(1 - Sqrt[3])]*Log[x] - Log[x]^2/2 - Log[-2*(1 - Sqrt[3]) + 4*x]^2/2 - Log[4*Sqrt[3]]*Log[-2*(1 + Sqrt[3]) + 4*x] - Log[(1 + Sqrt[3])/2]*Log[-2*(1 + Sqrt[3]) + 4*x] - Log[-1/2*(1 - Sqrt[3] - 2*x)/Sqrt[3]]*Log[-2*(1 + Sqrt[3]) + 4*x] - Log[(2*x)/(1 + Sqrt[3])]*Log[-2*(1 + Sqrt[3]) + 4*x] - Log[-2*(1 + Sqrt[3]) + 4*x]^2/2 + Log[x]*Log[x + 2*x^2 - 2*x^3] + Log[-2*(1 - Sqrt[3]) + 4*x]*Log[x + 2*x^2 - 2*x^3] + Log[-2*(1 + Sqrt[3]) + 4*x]*Log[x + 2*x^2 - 2*x^3]))/25","B",0
3196,1,39,31,0.1434317,"\int \frac{8 x^4+e^{\frac{-1-51 x+4 x^3}{4 x}} \left(4-17 x+32 x^3-8 x^4\right)}{4 x^3} \, dx","Integrate[(8*x^4 + E^((-1 - 51*x + 4*x^3)/(4*x))*(4 - 17*x + 32*x^3 - 8*x^4))/(4*x^3),x]","x^2-\frac{1}{4} e^{x^2-\frac{1}{4 x}} \left(\frac{4}{e^{51/4}}-\frac{16}{e^{51/4} x}\right)","x^2+\frac{e^{x^2+\frac{x-1}{4 x}-13} (4-x)}{x}+3",1,"-1/4*(E^(-1/4*1/x + x^2)*(4/E^(51/4) - 16/(E^(51/4)*x))) + x^2","A",1
3197,1,15,15,0.3911377,"\int \left(4 e^{-3 x}+e^x\right)^{-1+20 x} \left(-240 e^{-3 x} x+20 e^x x+\left(80 e^{-3 x}+20 e^x\right) \log \left(4 e^{-3 x}+e^x\right)\right) \, dx","Integrate[(4/E^(3*x) + E^x)^(-1 + 20*x)*((-240*x)/E^(3*x) + 20*E^x*x + (80/E^(3*x) + 20*E^x)*Log[4/E^(3*x) + E^x]),x]","\left(4 e^{-3 x}+e^x\right)^{20 x}","\left(4 e^{-3 x}+e^x\right)^{20 x}",1,"(4/E^(3*x) + E^x)^(20*x)","A",1
3198,1,54,22,0.1123657,"\int \frac{256 x-192 x^2+32 x^3-8 x^5+22 x^6-10 x^7+\left(4 x^6-2 x^7\right) \log (-2+x)+\left(-4 x^6+2 x^7\right) \log \left(x^2\right)+\left(256-192 x+32 x^2-8 x^4+22 x^5-10 x^6+\left(4 x^5-2 x^6\right) \log (-2+x)+\left(-4 x^5+2 x^6\right) \log \left(x^2\right)\right) \log \left(\frac{16-5 x^4-x^4 \log (-2+x)+x^4 \log \left(x^2\right)}{x^4}\right)}{-32 x+16 x^2+10 x^5-5 x^6+\left(2 x^5-x^6\right) \log (-2+x)+\left(-2 x^5+x^6\right) \log \left(x^2\right)} \, dx","Integrate[(256*x - 192*x^2 + 32*x^3 - 8*x^5 + 22*x^6 - 10*x^7 + (4*x^6 - 2*x^7)*Log[-2 + x] + (-4*x^6 + 2*x^7)*Log[x^2] + (256 - 192*x + 32*x^2 - 8*x^4 + 22*x^5 - 10*x^6 + (4*x^5 - 2*x^6)*Log[-2 + x] + (-4*x^5 + 2*x^6)*Log[x^2])*Log[(16 - 5*x^4 - x^4*Log[-2 + x] + x^4*Log[x^2])/x^4])/(-32*x + 16*x^2 + 10*x^5 - 5*x^6 + (2*x^5 - x^6)*Log[-2 + x] + (-2*x^5 + x^6)*Log[x^2]),x]","2 \left(\frac{x^2}{2}+\frac{1}{2} \log ^2\left(\frac{16}{x^4}+\log \left(x^2\right)-\log (x-2)-5\right)+x \log \left(\frac{16}{x^4}+\log \left(x^2\right)-\log (x-2)-5\right)\right)","\left(\log \left(\frac{16}{x^4}+\log \left(x^2\right)-\log (x-2)-5\right)+x\right)^2",1,"2*(x^2/2 + x*Log[-5 + 16/x^4 - Log[-2 + x] + Log[x^2]] + Log[-5 + 16/x^4 - Log[-2 + x] + Log[x^2]]^2/2)","B",1
3199,1,34,29,0.0288112,"\int \frac{8+8 x+2 x^2+8 (i \pi +\log (3))+(-4-x) \log \left(16+8 x+x^2\right)}{4+x} \, dx","Integrate[(8 + 8*x + 2*x^2 + 8*(I*Pi + Log[3]) + (-4 - x)*Log[16 + 8*x + x^2])/(4 + x),x]","x^2+2 x+2 (4+4 i \pi +\log (81)) \log (x+4)-(x+4) \log \left((x+4)^2\right)-16","x^2+2 x-(x-4 (\log (3)+i \pi )) \log \left((-x-4)^2\right)",1,"-16 + 2*x + x^2 + 2*(4 + (4*I)*Pi + Log[81])*Log[4 + x] - (4 + x)*Log[(4 + x)^2]","A",1
3200,1,18,24,0.0090808,"\int \frac{35+32 x+8 x^2+\log (3)}{4+4 x+x^2} \, dx","Integrate[(35 + 32*x + 8*x^2 + Log[3])/(4 + 4*x + x^2),x]","8 (x+2)+\frac{-3-\log (3)}{x+2}","4 (2 x-1-\log (3))-\frac{3+\log (3)}{x+2}+2",1,"8*(2 + x) + (-3 - Log[3])/(2 + x)","A",1
3201,1,37,25,0.0649958,"\int \frac{-16-4 e^2+e (-16-8 x)-16 x-4 x^2+e^2 \left(10 x^2+2 e^2 x^2+8 x^3+2 x^4+e \left(9 x^2+4 x^3\right)\right)+e^{2+x^2} \left(8 x^3+2 e^2 x^3+8 x^4+2 x^5+e \left(8 x^3+4 x^4\right)\right)}{e^2 \left(4 x^2+e^2 x^2+4 x^3+x^4+e \left(4 x^2+2 x^3\right)\right)} \, dx","Integrate[(-16 - 4*E^2 + E*(-16 - 8*x) - 16*x - 4*x^2 + E^2*(10*x^2 + 2*E^2*x^2 + 8*x^3 + 2*x^4 + E*(9*x^2 + 4*x^3)) + E^(2 + x^2)*(8*x^3 + 2*E^2*x^3 + 8*x^4 + 2*x^5 + E*(8*x^3 + 4*x^4)))/(E^2*(4*x^2 + E^2*x^2 + 4*x^3 + x^4 + E*(4*x^2 + 2*x^3))),x]","\frac{e^{x^2+2}+2 e^2 x-\frac{e^2 (2+e)}{x+e+2}+\frac{4}{x}}{e^2}","e^{x^2}+\frac{x}{x+e+2}+2 x+\frac{4}{e^2 x}",1,"(E^(2 + x^2) + 4/x + 2*E^2*x - (E^2*(2 + E))/(2 + E + x))/E^2","A",1
3202,1,26,26,0.5725797,"\int \frac{16+8 x+e^{5 x^2} \left(4+4 x-40 x^2-40 x^3\right)+(4+4 x) \log \left(\frac{1+2 x+x^2}{9 x^4}\right)}{e^{10 x^2} (1+x)+e^{5 x^2} (2+2 x) \log \left(\frac{1+2 x+x^2}{9 x^4}\right)+(1+x) \log ^2\left(\frac{1+2 x+x^2}{9 x^4}\right)} \, dx","Integrate[(16 + 8*x + E^(5*x^2)*(4 + 4*x - 40*x^2 - 40*x^3) + (4 + 4*x)*Log[(1 + 2*x + x^2)/(9*x^4)])/(E^(10*x^2)*(1 + x) + E^(5*x^2)*(2 + 2*x)*Log[(1 + 2*x + x^2)/(9*x^4)] + (1 + x)*Log[(1 + 2*x + x^2)/(9*x^4)]^2),x]","\frac{4 x}{\log \left(\frac{(x+1)^2}{9 x^4}\right)+e^{5 x^2}}","\frac{4 x}{\log \left(\frac{(x+1)^2}{9 x^4}\right)+e^{5 x^2}}",1,"(4*x)/(E^(5*x^2) + Log[(1 + x)^2/(9*x^4)])","A",1
3203,1,20,22,0.0000702,"\int 4 e^{\frac{1}{18} \left(-e^3-e^5\right)} \, dx","Integrate[4*E^((-E^3 - E^5)/18),x]","4 e^{\frac{1}{18} \left(-e^3-e^5\right)} x","4 e^{\frac{1}{18} \left(-e^3-e^5\right)} x-2",1,"4*E^((-E^3 - E^5)/18)*x","A",1
3204,1,34,32,0.4289654,"\int \frac{e^{-e^x} \left(2 x^3-e^x x^4+e^{5+e^x+x^2+x \log ^2(x)} \left(4-8 x^2-8 x \log (x)-4 x \log ^2(x)\right)\right)}{4 x^2} \, dx","Integrate[(2*x^3 - E^x*x^4 + E^(5 + E^x + x^2 + x*Log[x]^2)*(4 - 8*x^2 - 8*x*Log[x] - 4*x*Log[x]^2))/(4*E^E^x*x^2),x]","\frac{1}{4} \left(e^{-e^x} x^2-\frac{4 e^{x^2+x \log ^2(x)+5}}{x}\right)","\frac{1}{4} e^{-e^x} x^2-\frac{e^{x \left(x+\log ^2(x)\right)+5}}{x}",1,"((-4*E^(5 + x^2 + x*Log[x]^2))/x + x^2/E^E^x)/4","A",1
3205,1,21,21,0.0595316,"\int \frac{e^{-4+e^x} (16-16 x)+e^{-4+e^x} \left(e^x \left(16 x-16 x^2\right)+4 e^x x \log \left(-x^4\right)\right) \log \left(4-4 x+\log \left(-x^4\right)\right)}{4 x-4 x^2+x \log \left(-x^4\right)} \, dx","Integrate[(E^(-4 + E^x)*(16 - 16*x) + E^(-4 + E^x)*(E^x*(16*x - 16*x^2) + 4*E^x*x*Log[-x^4])*Log[4 - 4*x + Log[-x^4]])/(4*x - 4*x^2 + x*Log[-x^4]),x]","4 e^{e^x-4} \log \left(\log \left(-x^4\right)-4 x+4\right)","4 e^{e^x-4} \log \left(\log \left(-x^4\right)-4 x+4\right)",1,"4*E^(-4 + E^x)*Log[4 - 4*x + Log[-x^4]]","A",1
3206,1,7,9,0.0064489,"\int 3 e^{-18+3 x} \, dx","Integrate[3*E^(-18 + 3*x),x]","e^{3 x-18}","e^{-3 (6-x)}",1,"E^(-18 + 3*x)","A",1
3207,1,22,22,0.0175666,"\int \frac{e (3+3 x)}{25 e^3 x^2+10 e^4 x^2 \log \left(\frac{8 e^{\frac{1}{x}}}{x}\right)+e^5 x^2 \log ^2\left(\frac{8 e^{\frac{1}{x}}}{x}\right)} \, dx","Integrate[(E*(3 + 3*x))/(25*E^3*x^2 + 10*E^4*x^2*Log[(8*E^x^(-1))/x] + E^5*x^2*Log[(8*E^x^(-1))/x]^2),x]","\frac{3}{e^3 \left(e \log \left(\frac{8 e^{\frac{1}{x}}}{x}\right)+5\right)}","\frac{3}{e^3 \left(e \log \left(\frac{8 e^{\frac{1}{x}}}{x}\right)+5\right)}",1,"3/(E^3*(5 + E*Log[(8*E^x^(-1))/x]))","A",1
3208,1,25,25,0.2140315,"\int \frac{4 x^2+e^{\frac{-4 e^4-8 x+5 x^2}{4 x}} \left(-12 e^4-15 x^2\right)}{12 x^2} \, dx","Integrate[(4*x^2 + E^((-4*E^4 - 8*x + 5*x^2)/(4*x))*(-12*E^4 - 15*x^2))/(12*x^2),x]","\frac{x}{3}-e^{\frac{5 x}{4}-\frac{e^4}{x}-2}","\frac{x}{3}-e^{\frac{5 x}{4}-\frac{e^4}{x}-2}",1,"-E^(-2 - E^4/x + (5*x)/4) + x/3","A",1
3209,1,17,20,0.0290186,"\int e^{4 x} \left(10 x+17 x^2-4 x^3\right) \log ^2(3) \, dx","Integrate[E^(4*x)*(10*x + 17*x^2 - 4*x^3)*Log[3]^2,x]","-e^{4 x} (x-5) x^2 \log ^2(3)","e^{4 x} (5-x) x^2 \log ^2(3)+1",1,"-(E^(4*x)*(-5 + x)*x^2*Log[3]^2)","A",1
3210,1,23,19,0.0325871,"\int \frac{e^{\frac{3-27 x+e^{19/5} x}{-22+e^{19/5}}} \left(-27+e^{19/5}\right)}{-22+e^{19/5}} \, dx","Integrate[(E^((3 - 27*x + E^(19/5)*x)/(-22 + E^(19/5)))*(-27 + E^(19/5)))/(-22 + E^(19/5)),x]","e^{\frac{\left(e^{19/5}-27\right) x+3}{e^{19/5}-22}}","e^{\frac{3-5 x}{e^{19/5}-22}+x}",1,"E^((3 + (-27 + E^(19/5))*x)/(-22 + E^(19/5)))","A",1
3211,1,23,26,0.0412284,"\int \frac{e^{e^x x^2} \left(-1+e^x x^2 (2+x)\right)+4 x^2 \log (\log (5))}{4 x^2 \log (\log (5))} \, dx","Integrate[(E^(E^x*x^2)*(-1 + E^x*x^2*(2 + x)) + 4*x^2*Log[Log[5]])/(4*x^2*Log[Log[5]]),x]","\frac{e^{e^x x^2}}{4 x \log (\log (5))}+x","\frac{\frac{e^{e^x x^2}}{x}-1}{4 \log (\log (5))}+x",1,"x + E^(E^x*x^2)/(4*x*Log[Log[5]])","A",1
3212,1,16,25,0.0051686,"\int \frac{64+e^{\frac{x^4}{256}} x^4}{32 x} \, dx","Integrate[(64 + E^(x^4/256)*x^4)/(32*x),x]","2 e^{\frac{x^4}{256}}+2 \log (x)","\log \left(\frac{e^{2 e^{\frac{x^4}{256}}} x^2}{3 \log (4)}\right)",1,"2*E^(x^4/256) + 2*Log[x]","A",1
3213,1,14,23,0.0029604,"\int \left(12+2 e^x-192 x\right) \, dx","Integrate[12 + 2*E^x - 192*x,x]","2 \left(-48 x^2+6 x+e^x\right)","4 \left(-3 \left(8 x^2-x+3\right)+\frac{e^x}{2}-25\right)",1,"2*(E^x + 6*x - 48*x^2)","A",1
3214,1,34,29,0.647645,"\int \frac{5+5 e^3 x+e^{36 e^4-24 e^2 x+4 x^2} \left(x+x^2-24 e^2 x^2+8 x^3\right)+5 x \log (x)}{5 e^3 x+e^{36 e^4-24 e^2 x+4 x^2} x^2+5 x \log (x)} \, dx","Integrate[(5 + 5*E^3*x + E^(36*E^4 - 24*E^2*x + 4*x^2)*(x + x^2 - 24*E^2*x^2 + 8*x^3) + 5*x*Log[x])/(5*E^3*x + E^(36*E^4 - 24*E^2*x + 4*x^2)*x^2 + 5*x*Log[x]),x]","\log \left(e^{4 x^2-24 e^2 x+36 e^4} x+5 \log (x)+5 e^3\right)+x","x+\log \left(\frac{1}{5} e^{4 \left(3 e^2-x\right)^2} x+\log (x)+e^3\right)",1,"x + Log[5*E^3 + E^(36*E^4 - 24*E^2*x + 4*x^2)*x + 5*Log[x]]","A",1
3215,1,18,17,0.0755765,"\int \frac{5+5 x+5 x^2+5 x^3+\left(10 x-10 x^2\right) \log (x)}{\left(x+3 x^2+3 x^3+x^4\right) \log ^2(x)} \, dx","Integrate[(5 + 5*x + 5*x^2 + 5*x^3 + (10*x - 10*x^2)*Log[x])/((x + 3*x^2 + 3*x^3 + x^4)*Log[x]^2),x]","\frac{5 \left(-x^2-1\right)}{(x+1)^2 \log (x)}","\frac{-5 x^2-5}{(x+1)^2 \log (x)}",1,"(5*(-1 - x^2))/((1 + x)^2*Log[x])","A",1
3216,1,22,26,0.0079134,"\int \frac{e^5 \left(-4 x+2 x^2\right)}{45-90 x-135 x^2+180 x^3+180 x^4} \, dx","Integrate[(E^5*(-4*x + 2*x^2))/(45 - 90*x - 135*x^2 + 180*x^3 + 180*x^4),x]","\frac{e^5 (1-x)}{45 \left(2 x^2+x-1\right)}","\frac{e^5 x}{3 \left(5-\frac{5}{2 x}\right) (3 x+3)}",1,"(E^5*(1 - x))/(45*(-1 + x + 2*x^2))","A",1
3217,1,49,33,0.1131211,"\int \frac{e^{\frac{23 x+\log (4)}{e^2-x}} \left(-2 e^4 x+27 e^2 x^2-2 x^3+x^2 \log (4)\right)}{e^4 x^4-2 e^2 x^5+x^6+e^{\frac{2 (23 x+\log (4))}{e^2-x}} \left(e^4-2 e^2 x+x^2\right)+e^{\frac{23 x+\log (4)}{e^2-x}} \left(-2 e^4 x^2+4 e^2 x^3-2 x^4\right)} \, dx","Integrate[(E^((23*x + Log[4])/(E^2 - x))*(-2*E^4*x + 27*E^2*x^2 - 2*x^3 + x^2*Log[4]))/(E^4*x^4 - 2*E^2*x^5 + x^6 + E^((2*(23*x + Log[4]))/(E^2 - x))*(E^4 - 2*E^2*x + x^2) + E^((23*x + Log[4])/(E^2 - x))*(-2*E^4*x^2 + 4*E^2*x^3 - 2*x^4)),x]","-\frac{e^{23} x^2}{4^{-\frac{1}{x-e^2}} e^{-\frac{23 e^2}{x-e^2}}-e^{23} x^2}","5-\frac{x^2}{e^{\frac{23 x+\log (4)}{e^2-x}}-x^2}",1,"-((E^23*x^2)/(1/(4^(-E^2 + x)^(-1)*E^((23*E^2)/(-E^2 + x))) - E^23*x^2))","A",1
3218,1,21,24,0.1143685,"\int \frac{4 \log \left(\frac{1}{x}\right)+4 \log \left(\frac{1}{x}\right) \log (x)+2 \log (x) \log \left(e^2 \log \left(\frac{1}{x}\right)\right)+\left(-\log \left(\frac{1}{x}\right)-\log \left(\frac{1}{x}\right) \log (x)\right) \log ^2\left(e^2 \log \left(\frac{1}{x}\right)\right)+\left(-4 \log \left(\frac{1}{x}\right) \log (x)+\log \left(\frac{1}{x}\right) \log (x) \log ^2\left(e^2 \log \left(\frac{1}{x}\right)\right)\right) \log \left(4 x \log (x)-x \log (x) \log ^2\left(e^2 \log \left(\frac{1}{x}\right)\right)\right)}{\left(-4 \log \left(\frac{1}{x}\right) \log (x)+\log \left(\frac{1}{x}\right) \log (x) \log ^2\left(e^2 \log \left(\frac{1}{x}\right)\right)\right) \log ^2\left(4 x \log (x)-x \log (x) \log ^2\left(e^2 \log \left(\frac{1}{x}\right)\right)\right)} \, dx","Integrate[(4*Log[x^(-1)] + 4*Log[x^(-1)]*Log[x] + 2*Log[x]*Log[E^2*Log[x^(-1)]] + (-Log[x^(-1)] - Log[x^(-1)]*Log[x])*Log[E^2*Log[x^(-1)]]^2 + (-4*Log[x^(-1)]*Log[x] + Log[x^(-1)]*Log[x]*Log[E^2*Log[x^(-1)]]^2)*Log[4*x*Log[x] - x*Log[x]*Log[E^2*Log[x^(-1)]]^2])/((-4*Log[x^(-1)]*Log[x] + Log[x^(-1)]*Log[x]*Log[E^2*Log[x^(-1)]]^2)*Log[4*x*Log[x] - x*Log[x]*Log[E^2*Log[x^(-1)]]^2]^2),x]","\frac{x}{\log \left(-x \log (x) \left(\left(\log \left(\log \left(\frac{1}{x}\right)\right)+2\right)^2-4\right)\right)}","\frac{x}{\log \left(x \log (x) \left(4-\log ^2\left(e^2 \log \left(\frac{1}{x}\right)\right)\right)\right)}",1,"x/Log[-(x*Log[x]*(-4 + (2 + Log[Log[x^(-1)]])^2))]","A",1
3219,1,29,23,0.3827393,"\int \frac{7 e^4+e^{2 x} (6+12 x)+e^{2+x} (12+12 x)}{6 e^{2 x} x+12 e^{2+x} x+e^4 (22+7 x)} \, dx","Integrate[(7*E^4 + E^(2*x)*(6 + 12*x) + E^(2 + x)*(12 + 12*x))/(6*E^(2*x)*x + 12*E^(2 + x)*x + E^4*(22 + 7*x)),x]","\log \left(6 e^{2 x} x+12 e^{x+2} x+7 e^4 x+22 e^4\right)","\log \left(x+6 \left(\frac{\left(e^{x-2} x+x\right)^2}{x}+4\right)-2\right)",1,"Log[22*E^4 + 7*E^4*x + 6*E^(2*x)*x + 12*E^(2 + x)*x]","A",1
3220,1,51,36,0.6298951,"\int \frac{-5 e^x x^2 \log (5)+\left(-24-5 x^2\right) \log (5)+20 \log (5) \log (x)}{x^2+5 e^x x^2 \log (5)+\left(-4 x+15 x^2+5 x^3\right) \log (5)+20 x \log (5) \log (x)} \, dx","Integrate[(-5*E^x*x^2*Log[5] + (-24 - 5*x^2)*Log[5] + 20*Log[5]*Log[x])/(x^2 + 5*E^x*x^2*Log[5] + (-4*x + 15*x^2 + 5*x^3)*Log[5] + 20*x*Log[5]*Log[x]),x]","-\log (5) \left(\frac{\log \left(5 x^2 \log (5)+x+5 e^x x \log (5)+15 x \log (5)+20 \log (5) \log (x)-4 \log (5)\right)}{\log (5)}-\frac{\log (x)}{\log (5)}\right)","\log \left(\frac{3}{4 \left(x+e^x-\frac{\frac{1}{5} \left(4-\frac{x}{\log (5)}\right)-4 \log (x)}{x}+3\right)}\right)",1,"-(Log[5]*(-(Log[x]/Log[5]) + Log[x - 4*Log[5] + 15*x*Log[5] + 5*E^x*x*Log[5] + 5*x^2*Log[5] + 20*Log[5]*Log[x]]/Log[5]))","A",1
3221,1,28,29,0.1147782,"\int \frac{4-2 x^2-2 e^x x^2+\left(2+e^x x+x^2\right) \log \left(\frac{8+4 e^x x+4 x^2}{x}\right)+\left(-2-e^x x-x^2+e^{2+x} \left(-2-e^x x-x^2\right)\right) \log ^3\left(\frac{8+4 e^x x+4 x^2}{x}\right)}{\left(2+e^x x+x^2\right) \log ^3\left(\frac{8+4 e^x x+4 x^2}{x}\right)} \, dx","Integrate[(4 - 2*x^2 - 2*E^x*x^2 + (2 + E^x*x + x^2)*Log[(8 + 4*E^x*x + 4*x^2)/x] + (-2 - E^x*x - x^2 + E^(2 + x)*(-2 - E^x*x - x^2))*Log[(8 + 4*E^x*x + 4*x^2)/x]^3)/((2 + E^x*x + x^2)*Log[(8 + 4*E^x*x + 4*x^2)/x]^3),x]","-x-e^{x+2}+\frac{x}{\log ^2\left(4 \left(x+e^x+\frac{2}{x}\right)\right)}","-x-e^{x+2}+\frac{x}{\log ^2\left(4 \left(x+e^x+\frac{2}{x}\right)\right)}+1",1,"-E^(2 + x) - x + x/Log[4*(E^x + 2/x + x)]^2","A",1
3222,1,22,28,0.0711748,"\int \frac{-25-10 x-x^2+25 x^3+10 x^4+x^5+e^2 \left(-5-15 x^2+5 x^3\right)+\left(10+2 x-10 x^3-2 x^4\right) \log \left(-2+2 x^3\right)+\left(-1+x^3\right) \log ^2\left(-2+2 x^3\right)}{-25-10 x-x^2+25 x^3+10 x^4+x^5+\left(10+2 x-10 x^3-2 x^4\right) \log \left(-2+2 x^3\right)+\left(-1+x^3\right) \log ^2\left(-2+2 x^3\right)} \, dx","Integrate[(-25 - 10*x - x^2 + 25*x^3 + 10*x^4 + x^5 + E^2*(-5 - 15*x^2 + 5*x^3) + (10 + 2*x - 10*x^3 - 2*x^4)*Log[-2 + 2*x^3] + (-1 + x^3)*Log[-2 + 2*x^3]^2)/(-25 - 10*x - x^2 + 25*x^3 + 10*x^4 + x^5 + (10 + 2*x - 10*x^3 - 2*x^4)*Log[-2 + 2*x^3] + (-1 + x^3)*Log[-2 + 2*x^3]^2),x]","\frac{5 e^2}{\log \left(2 \left(x^3-1\right)\right)-x-5}+x","-\frac{5 e^2}{-\log \left(x^2 \log \left(e^{2 x}\right)-2\right)+x+5}+x-2",1,"x + (5*E^2)/(-5 - x + Log[2*(-1 + x^3)])","A",1
3223,1,11,16,0.0064366,"\int \frac{1+x}{e^{10} x^3+2 e^{10} x^2 \log (x)+e^{10} x \log ^2(x)} \, dx","Integrate[(1 + x)/(E^10*x^3 + 2*E^10*x^2*Log[x] + E^10*x*Log[x]^2),x]","-\frac{1}{e^{10} (x+\log (x))}","\frac{1}{e^{10} (-x-\log (x))}+4",1,"-(1/(E^10*(x + Log[x])))","A",1
3224,1,39,29,0.1475764,"\int \frac{\exp \left(\frac{2 \left(121 x^2+36 e^4 x^2+36 e^8 x^2+22 x^3+x^4+e^2 \left(-132 x^2-12 x^3\right)+e^4 \left(132 x^2-72 e^2 x^2+12 x^3\right)\right)}{4-8 x+4 x^2+e^2 \left(-4+8 x-4 x^2\right)+e^4 \left(1-2 x+x^2\right)+e^8 \left(1-2 x+x^2\right)+e^4 \left(4-8 x+4 x^2+e^2 \left(-2+4 x-2 x^2\right)\right)}\right) \left(-484 x-144 e^4 x-144 e^8 x-132 x^2+36 x^3+4 x^4+e^2 \left(528 x+72 x^2-24 x^3\right)+e^4 \left(-528 x+288 e^2 x-72 x^2+24 x^3\right)\right)}{-4+12 x-12 x^2+4 x^3+e^2 \left(4-12 x+12 x^2-4 x^3\right)+e^4 \left(-1+3 x-3 x^2+x^3\right)+e^8 \left(-1+3 x-3 x^2+x^3\right)+e^4 \left(-4+12 x-12 x^2+4 x^3+e^2 \left(2-6 x+6 x^2-2 x^3\right)\right)} \, dx","Integrate[(E^((2*(121*x^2 + 36*E^4*x^2 + 36*E^8*x^2 + 22*x^3 + x^4 + E^2*(-132*x^2 - 12*x^3) + E^4*(132*x^2 - 72*E^2*x^2 + 12*x^3)))/(4 - 8*x + 4*x^2 + E^2*(-4 + 8*x - 4*x^2) + E^4*(1 - 2*x + x^2) + E^8*(1 - 2*x + x^2) + E^4*(4 - 8*x + 4*x^2 + E^2*(-2 + 4*x - 2*x^2))))*(-484*x - 144*E^4*x - 144*E^8*x - 132*x^2 + 36*x^3 + 4*x^4 + E^2*(528*x + 72*x^2 - 24*x^3) + E^4*(-528*x + 288*E^2*x - 72*x^2 + 24*x^3)))/(-4 + 12*x - 12*x^2 + 4*x^3 + E^2*(4 - 12*x + 12*x^2 - 4*x^3) + E^4*(-1 + 3*x - 3*x^2 + x^3) + E^8*(-1 + 3*x - 3*x^2 + x^3) + E^4*(-4 + 12*x - 12*x^2 + 4*x^3 + E^2*(2 - 6*x + 6*x^2 - 2*x^3))),x]","\exp \left(\frac{2 x^2 \left(x+6 e^4-6 e^2+11\right)^2}{\left(2-e^2+e^4\right)^2 (x-1)^2}\right)","e^{2 \left(\frac{x}{-2+e^2-e^4}-\frac{6 x}{x-1}\right)^2}",1,"E^((2*x^2*(11 - 6*E^2 + 6*E^4 + x)^2)/((2 - E^2 + E^4)^2*(-1 + x)^2))","A",1
3225,1,27,30,0.2211063,"\int \frac{e^{-2-2 x^2} \left(-6-8 x^2+e^{6-x^2} \left(-30-20 x^2\right)\right)}{x^4+25 e^{12-2 x^2} x^4+10 e^{6-x^2} x^4} \, dx","Integrate[(E^(-2 - 2*x^2)*(-6 - 8*x^2 + E^(6 - x^2)*(-30 - 20*x^2)))/(x^4 + 25*E^(12 - 2*x^2)*x^4 + 10*E^(6 - x^2)*x^4),x]","\frac{2 e^{-x^2-2}}{\left(e^{x^2}+5 e^6\right) x^3}","\frac{2 e^{-2 x^2-2}}{x^2 \left(5 e^{6-x^2} x+x\right)}",1,"(2*E^(-2 - x^2))/((5*E^6 + E^x^2)*x^3)","A",1
3226,1,50,30,0.0000771,"\int \frac{-20+22 \log ^2(4)+\left(4-2 \log ^2(4)\right) \log (4+\log (5))}{-2+\log ^2(4)} \, dx","Integrate[(-20 + 22*Log[4]^2 + (4 - 2*Log[4]^2)*Log[4 + Log[5]])/(-2 + Log[4]^2),x]","\frac{x \left(4-2 \log ^2(4)\right) \log (4+\log (5))}{\log ^2(4)-2}+\frac{22 x \log ^2(4)}{\log ^2(4)-2}-\frac{20 x}{\log ^2(4)-2}","x \left(4+2 \left(3 \left(3-\frac{4}{2-\log ^2(4)}\right)-\log (4+\log (5))\right)\right)",1,"(-20*x)/(-2 + Log[4]^2) + (22*x*Log[4]^2)/(-2 + Log[4]^2) + (x*(4 - 2*Log[4]^2)*Log[4 + Log[5]])/(-2 + Log[4]^2)","A",1
3227,1,38,38,0.3022915,"\int \frac{32768-8192 x^2+1536 x^3-128 x^4-128 x^5+16 x^6-2 x^7+\frac{e^{25+\log ^2(2)} \left(2048-1536 x+384 x^2-64 x^3\right)}{1024}}{-16384 x^3-4096 x^4+3072 x^5+768 x^6-192 x^7-48 x^8+4 x^9+x^{10}+\frac{e^{50+2 \log ^2(2)} \left(-64 x^3+48 x^4-12 x^5+x^6\right)}{1048576}+\frac{e^{25+\log ^2(2)} \left(-2048 x^3+512 x^4+256 x^5-64 x^6-8 x^7+2 x^8\right)}{1024}} \, dx","Integrate[(32768 - 8192*x^2 + 1536*x^3 - 128*x^4 - 128*x^5 + 16*x^6 - 2*x^7 + (E^(25 + Log[2]^2)*(2048 - 1536*x + 384*x^2 - 64*x^3))/1024)/(-16384*x^3 - 4096*x^4 + 3072*x^5 + 768*x^6 - 192*x^7 - 48*x^8 + 4*x^9 + x^10 + (E^(50 + 2*Log[2]^2)*(-64*x^3 + 48*x^4 - 12*x^5 + x^6))/1048576 + (E^(25 + Log[2]^2)*(-2048*x^3 + 512*x^4 + 256*x^5 - 64*x^6 - 8*x^7 + 2*x^8))/1024),x]","\frac{1024 \left(x^2-4 x+16\right)^2}{(x-4)^2 x^2 \left(1024 (x+4)^2+e^{25+\log ^2(2)}\right)}","\frac{\left(\frac{4-x}{x}+\frac{4}{4-x}\right)^2}{(x+4)^2+e^{(\log (2)-5)^2}}",1,"(1024*(16 - 4*x + x^2)^2)/((-4 + x)^2*x^2*(E^(25 + Log[2]^2) + 1024*(4 + x)^2))","A",1
3228,1,25,22,0.1215288,"\int \frac{-2 x-e^5 x-x^2+e^x \left(-6 e^5 x^3-6 x^4\right)+e^{2 x} \left(-6 e^5 x^3-6 x^4\right)+\left(e^5+x+e^x \left(-18 e^5 x^2-18 x^3\right)+e^{2 x} \left(-18 e^5 x^2-18 x^3\right)\right) \log \left(e^5+x\right)+\left(e^x \left(-18 e^5 x-18 x^2\right)+e^{2 x} \left(-18 e^5 x-18 x^2\right)\right) \log ^2\left(e^5+x\right)+\left(e^x \left(-6 e^5-6 x\right)+e^{2 x} \left(-6 e^5-6 x\right)\right) \log ^3\left(e^5+x\right)}{e^5 x^3+x^4+\left(3 e^5 x^2+3 x^3\right) \log \left(e^5+x\right)+\left(3 e^5 x+3 x^2\right) \log ^2\left(e^5+x\right)+\left(e^5+x\right) \log ^3\left(e^5+x\right)} \, dx","Integrate[(-2*x - E^5*x - x^2 + E^x*(-6*E^5*x^3 - 6*x^4) + E^(2*x)*(-6*E^5*x^3 - 6*x^4) + (E^5 + x + E^x*(-18*E^5*x^2 - 18*x^3) + E^(2*x)*(-18*E^5*x^2 - 18*x^3))*Log[E^5 + x] + (E^x*(-18*E^5*x - 18*x^2) + E^(2*x)*(-18*E^5*x - 18*x^2))*Log[E^5 + x]^2 + (E^x*(-6*E^5 - 6*x) + E^(2*x)*(-6*E^5 - 6*x))*Log[E^5 + x]^3)/(E^5*x^3 + x^4 + (3*E^5*x^2 + 3*x^3)*Log[E^5 + x] + (3*E^5*x + 3*x^2)*Log[E^5 + x]^2 + (E^5 + x)*Log[E^5 + x]^3),x]","-6 e^x-3 e^{2 x}+\frac{x}{\left(x+\log \left(x+e^5\right)\right)^2}","\frac{x}{\left(x+\log \left(x+e^5\right)\right)^2}-3 \left(e^x+1\right)^2",1,"-6*E^x - 3*E^(2*x) + x/(x + Log[E^5 + x])^2","A",1
3229,1,27,25,0.5702413,"\int \frac{e^{4+x+x^2}+5 x-5 x^2-10 x^3+\left(2 e^{4+x+x^2}+10 x-5 x^2-10 x^3\right) \log (x)+e^{4+x+x^2} \log ^2(x)}{e^{4+x+x^2}+2 e^{4+x+x^2} \log (x)+e^{4+x+x^2} \log ^2(x)} \, dx","Integrate[(E^(4 + x + x^2) + 5*x - 5*x^2 - 10*x^3 + (2*E^(4 + x + x^2) + 10*x - 5*x^2 - 10*x^3)*Log[x] + E^(4 + x + x^2)*Log[x]^2)/(E^(4 + x + x^2) + 2*E^(4 + x + x^2)*Log[x] + E^(4 + x + x^2)*Log[x]^2),x]","\frac{x \left(5 e^{-x^2-x-4} x+\log (x)+1\right)}{\log (x)+1}","x \left(\frac{5 e^{-x^2-x-4} x}{\log (x)+1}+1\right)",1,"(x*(1 + 5*E^(-4 - x - x^2)*x + Log[x]))/(1 + Log[x])","A",1
3230,1,36,25,0.0101356,"\int \frac{3590-5760 x+3264 x^2-768 x^3+64 x^4+\left(-3600+3264 x^2-1536 x^3+192 x^4\right) \log (x)}{x^2} \, dx","Integrate[(3590 - 5760*x + 3264*x^2 - 768*x^3 + 64*x^4 + (-3600 + 3264*x^2 - 1536*x^3 + 192*x^4)*Log[x])/x^2,x]","64 x^3 \log (x)-768 x^2 \log (x)+\frac{10}{x}+3264 x \log (x)-5760 \log (x)+\frac{3600 \log (x)}{x}","\frac{16 \left(2 (3-x)^2-3\right)^2 \log (x)+10}{x}+2",1,"10/x - 5760*Log[x] + (3600*Log[x])/x + 3264*x*Log[x] - 768*x^2*Log[x] + 64*x^3*Log[x]","A",1
3231,1,6,13,0.0000685,"\int \frac{1}{\log (5)} \, dx","Integrate[Log[5]^(-1),x]","\frac{x}{\log (5)}","2-\frac{295-x}{\log (5)}",1,"x/Log[5]","A",1
3232,1,173,27,0.1460185,"\int \frac{4 e^{\frac{4+4 e^3}{e^3}}+4 x^2+4 \log (4)}{e^{\frac{2 \left(4+4 e^3\right)}{e^3}}-2 x^3+x^4+\left(2 x-2 x^2\right) \log (4)+\log ^2(4)+e^{\frac{4+4 e^3}{e^3}} \left(2 x-2 x^2+2 \log (4)\right)} \, dx","Integrate[(4*E^((4 + 4*E^3)/E^3) + 4*x^2 + 4*Log[4])/(E^((2*(4 + 4*E^3))/E^3) - 2*x^3 + x^4 + (2*x - 2*x^2)*Log[4] + Log[4]^2 + E^((4 + 4*E^3)/E^3)*(2*x - 2*x^2 + 2*Log[4])),x]","-4 \text{RootSum}\left[\text{$\#$1}^4-2 \text{$\#$1}^3-2 e^{4+\frac{4}{e^3}} \text{$\#$1}^2-2 \text{$\#$1}^2 \log (4)+2 e^{4+\frac{4}{e^3}} \text{$\#$1}+\text{$\#$1} \log (16)+e^{8+\frac{8}{e^3}}+\log ^2(4)+2 e^{4+\frac{4}{e^3}} \log (4)\&,\frac{\text{$\#$1}^2 \log (x-\text{$\#$1})+\log (4) \log (x-\text{$\#$1})+e^{4+\frac{4}{e^3}} \log (x-\text{$\#$1})}{-4 \text{$\#$1}^3+6 \text{$\#$1}^2+4 e^{4+\frac{4}{e^3}} \text{$\#$1}+4 \text{$\#$1} \log (4)-2 e^{4+\frac{4}{e^3}}-\log (16)}\&\right]","2 \log \left(\frac{20 x}{-x^2+e^{4+\frac{4}{e^3}}+\log (4)}+10\right)",1,"-4*RootSum[E^(8 + 8/E^3) + 2*E^(4 + 4/E^3)*Log[4] + Log[4]^2 + 2*E^(4 + 4/E^3)*#1 + Log[16]*#1 - 2*E^(4 + 4/E^3)*#1^2 - 2*Log[4]*#1^2 - 2*#1^3 + #1^4 & , (E^(4 + 4/E^3)*Log[x - #1] + Log[4]*Log[x - #1] + Log[x - #1]*#1^2)/(-2*E^(4 + 4/E^3) - Log[16] + 4*E^(4 + 4/E^3)*#1 + 4*Log[4]*#1 + 6*#1^2 - 4*#1^3) & ]","C",1
3233,0,0,20,0.7715534,"\int \frac{e^x (1+(1-x) \log (5))+e^x (1-x) \log (x)}{-e^x x \log (5)+x^2 \log ^2(5)+\left(-e^x x+2 x^2 \log (5)\right) \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(E^x*(1 + (1 - x)*Log[5]) + E^x*(1 - x)*Log[x])/(-(E^x*x*Log[5]) + x^2*Log[5]^2 + (-(E^x*x) + 2*x^2*Log[5])*Log[x] + x^2*Log[x]^2),x]","\int \frac{e^x (1+(1-x) \log (5))+e^x (1-x) \log (x)}{-e^x x \log (5)+x^2 \log ^2(5)+\left(-e^x x+2 x^2 \log (5)\right) \log (x)+x^2 \log ^2(x)} \, dx","\log \left(-95 \left(\frac{2 e^x}{x (\log (x)+\log (5))}-2\right)\right)",1,"Integrate[(E^x*(1 + (1 - x)*Log[5]) + E^x*(1 - x)*Log[x])/(-(E^x*x*Log[5]) + x^2*Log[5]^2 + (-(E^x*x) + 2*x^2*Log[5])*Log[x] + x^2*Log[x]^2), x]","F",-1
3234,1,22,22,0.1443556,"\int \frac{-6+8 x+\left(-16 x-8 x^2\right) \log \left(\frac{1}{4} (-3+4 x)\right)+(6-8 x) \log ^2\left(\frac{1}{4} (-3+4 x)\right)}{-3 x^2+4 x^3+\left(6 x^2-8 x^3\right) \log ^2\left(\frac{1}{4} (-3+4 x)\right)+\left(-3 x^2+4 x^3\right) \log ^4\left(\frac{1}{4} (-3+4 x)\right)} \, dx","Integrate[(-6 + 8*x + (-16*x - 8*x^2)*Log[(-3 + 4*x)/4] + (6 - 8*x)*Log[(-3 + 4*x)/4]^2)/(-3*x^2 + 4*x^3 + (6*x^2 - 8*x^3)*Log[(-3 + 4*x)/4]^2 + (-3*x^2 + 4*x^3)*Log[(-3 + 4*x)/4]^4),x]","-\frac{-x-2}{x \left(\log ^2\left(x-\frac{3}{4}\right)-1\right)}","3-\frac{x+2}{x-x \log ^2\left(x-\frac{3}{4}\right)}",1,"-((-2 - x)/(x*(-1 + Log[-3/4 + x]^2)))","A",1
3235,1,47,29,0.1418293,"\int \frac{10+20 x+75 x^2-40 x^3+e^2 \left(5+10 x+75 x^2-20 x^3\right)+e^x \left(2+6 x+17 x^2-3 x^3-2 x^4+e^2 \left(1+3 x+16 x^2+x^3-x^4\right)\right)}{2+e^2} \, dx","Integrate[(10 + 20*x + 75*x^2 - 40*x^3 + E^2*(5 + 10*x + 75*x^2 - 20*x^3) + E^x*(2 + 6*x + 17*x^2 - 3*x^3 - 2*x^4 + E^2*(1 + 3*x + 16*x^2 + x^3 - x^4)))/(2 + E^2),x]","-\frac{\left(e^x+5\right) x \left(2 x^3-5 x^2+e^2 \left(x^3-5 x^2-x-1\right)-2 x-2\right)}{2+e^2}","\left(e^x+5\right) x \left(x \left(\left(-x-\frac{5}{2+e^2}+5\right) x+1\right)+1\right)",1,"-(((5 + E^x)*x*(-2 - 2*x - 5*x^2 + 2*x^3 + E^2*(-1 - x - 5*x^2 + x^3)))/(2 + E^2))","A",1
3236,1,29,18,0.0417985,"\int \frac{-4050+(-180-90 x) \log ^2(2)+\left(48+88 x+60 x^2+18 x^3+2 x^4\right) \log ^4(2)}{\left(8+12 x+6 x^2+x^3\right) \log ^4(2)} \, dx","Integrate[(-4050 + (-180 - 90*x)*Log[2]^2 + (48 + 88*x + 60*x^2 + 18*x^3 + 2*x^4)*Log[2]^4)/((8 + 12*x + 6*x^2 + x^3)*Log[2]^4),x]","x^2+6 x+\frac{2025}{(x+2)^2 \log ^4(2)}+\frac{90}{(x+2) \log ^2(2)}","\left(x+\frac{45}{(x+2) \log ^2(2)}+3\right)^2-3",1,"6*x + x^2 + 2025/((2 + x)^2*Log[2]^4) + 90/((2 + x)*Log[2]^2)","A",1
3237,1,39,20,0.1087623,"\int \frac{-72-24 x-5 x^2-x^3+(6+2 x) \log (2)+(72+12 x+(-6-x) \log (2)) \log (6+x)}{6 x^2+x^3} \, dx","Integrate[(-72 - 24*x - 5*x^2 - x^3 + (6 + 2*x)*Log[2] + (72 + 12*x + (-6 - x)*Log[2])*Log[6 + x])/(6*x^2 + x^3),x]","-x+\frac{12}{x}+\log (x+6)+\frac{\log (2) \log (x+6)}{x}-\frac{12 \log (x+6)}{x}-\frac{\log (2)}{x}","-x+\frac{(x-12+\log (2)) (\log (x+6)-1)}{x}+3",1,"12/x - x - Log[2]/x + Log[6 + x] - (12*Log[6 + x])/x + (Log[2]*Log[6 + x])/x","A",1
3238,1,24,25,0.0227689,"\int \frac{1+2 x+2 x^2-4 e^{2 x^2} x^2-2 \log (x)}{x} \, dx","Integrate[(1 + 2*x + 2*x^2 - 4*E^(2*x^2)*x^2 - 2*Log[x])/x,x]","x^2-e^{2 x^2}+2 x-\log ^2(x)+\log (x)","x^2-e^{2 x^2}+2 x-\log ^2(x)+\log (x)-5",1,"-E^(2*x^2) + 2*x + x^2 + Log[x] - Log[x]^2","A",1
3239,1,142,31,0.1113666,"\int \frac{9 x^2-15 x^3+9 x^4+\left(-6 x+13 x^2-9 x^3\right) \log \left(\frac{x^3}{-1+x}\right)+\left(-2 x+2 x^2\right) \log ^2\left(\frac{x^3}{-1+x}\right)}{(-2+2 x) \log ^2(5)} \, dx","Integrate[(9*x^2 - 15*x^3 + 9*x^4 + (-6*x + 13*x^2 - 9*x^3)*Log[x^3/(-1 + x)] + (-2*x + 2*x^2)*Log[x^3/(-1 + x)]^2)/((-2 + 2*x)*Log[5]^2),x]","\frac{6 \text{Li}_2(1-x)+6 \text{Li}_2(x)+\frac{9 x^4}{4}-3 x^3 \log \left(-\frac{x^3}{1-x}\right)+2 \log (1-x) \log \left(-\frac{x^3}{1-x}\right)-2 \log (x-1) \log \left(\frac{x^3}{x-1}\right)+x^2 \log ^2\left(-\frac{x^3}{1-x}\right)+\log ^2(1-x)-\log ^2(x-1)-3 \log (1-x)+3 \log (x-1)+6 \log (x-1) \log (x)}{2 \log ^2(5)}","\frac{x^2 \left(\frac{3 x}{2}-\log \left(\frac{x^3}{x-1}\right)\right)^2}{2 \log ^2(5)}",1,"((9*x^4)/4 - 3*Log[1 - x] + Log[1 - x]^2 + 3*Log[-1 + x] - Log[-1 + x]^2 + 6*Log[-1 + x]*Log[x] - 3*x^3*Log[-(x^3/(1 - x))] + 2*Log[1 - x]*Log[-(x^3/(1 - x))] + x^2*Log[-(x^3/(1 - x))]^2 - 2*Log[-1 + x]*Log[x^3/(-1 + x)] + 6*PolyLog[2, 1 - x] + 6*PolyLog[2, x])/(2*Log[5]^2)","C",1
3240,1,21,19,0.0546984,"\int \frac{1}{2} \left(-3 e^{3 x}+e^x (2+x+\log (2))\right) \, dx","Integrate[(-3*E^(3*x) + E^x*(2 + x + Log[2]))/2,x]","\frac{1}{2} \left(e^x (x+1+\log (2))-e^{3 x}\right)","\frac{1}{2} e^x \left(x-e^{2 x}+1+\log (2)\right)",1,"(-E^(3*x) + E^x*(1 + x + Log[2]))/2","A",1
3241,1,31,26,0.0000826,"\int \left(10-18 x-45 x^2-12 x^3+15 x^4+3 \log \left(\frac{5}{4}\right)\right) \, dx","Integrate[10 - 18*x - 45*x^2 - 12*x^3 + 15*x^4 + 3*Log[5/4],x]","3 x^5-3 x^4-15 x^3-9 x^2+10 x+3 x \log \left(\frac{5}{4}\right)","3 (3-x) \left(-\left(x^2+x\right)^2-3-\log \left(\frac{5}{4}\right)\right)+x",1,"10*x - 9*x^2 - 15*x^3 - 3*x^4 + 3*x^5 + 3*x*Log[5/4]","A",1
3242,1,21,25,0.0094025,"\int \frac{-1260 x+143 x^2-4 x^3}{648-72 x+2 x^2} \, dx","Integrate[(-1260*x + 143*x^2 - 4*x^3)/(648 - 72*x + 2*x^2),x]","\frac{1}{2} \left(-2 x^2-x-\frac{324}{x-18}+666\right)","\frac{x}{\log \left(e^{\frac{4 \left(9-\frac{x}{2}\right)}{x}}\right)}-x^2",1,"(666 - 324/(-18 + x) - x - 2*x^2)/2","A",1
3243,1,29,26,0.0245023,"\int \frac{x^2-2 x^3+6 e^{3 x} x^3+e^{5 x} (-2+5 x)+e^x \left(2 x^4+x^5\right)}{x^3} \, dx","Integrate[(x^2 - 2*x^3 + 6*E^(3*x)*x^3 + E^(5*x)*(-2 + 5*x) + E^x*(2*x^4 + x^5))/x^3,x]","e^x x^2+\frac{e^{5 x}}{x^2}-2 x+2 e^{3 x}+\log (x)","e^x \left(x+\frac{e^{2 x}}{x}\right)^2-2 x+\log (x)+e^{25}",1,"2*E^(3*x) + E^(5*x)/x^2 - 2*x + E^x*x^2 + Log[x]","A",1
3244,1,16,16,0.0022225,"\int -\frac{2}{5 x \log (2) \log ^2\left(4 x^2\right)} \, dx","Integrate[-2/(5*x*Log[2]*Log[4*x^2]^2),x]","\frac{1}{5 \log (2) \log \left(4 x^2\right)}","\frac{1}{5 \log (2) \log \left(4 x^2\right)}",1,"1/(5*Log[2]*Log[4*x^2])","A",1
3245,1,21,22,0.2276867,"\int \frac{3 x^4+e^{\frac{9+6 x^2+x^4}{x^3}} \left(-27-27 x-6 x^2-6 x^3+x^5\right)}{x^4+2 x^5+x^6} \, dx","Integrate[(3*x^4 + E^((9 + 6*x^2 + x^4)/x^3)*(-27 - 27*x - 6*x^2 - 6*x^3 + x^5))/(x^4 + 2*x^5 + x^6),x]","\frac{e^{\frac{\left(x^2+3\right)^2}{x^3}}-3}{x+1}","\frac{e^{\frac{\left(x^2+3\right)^2}{x^3}}+x-2}{x+1}",1,"(-3 + E^((3 + x^2)^2/x^3))/(1 + x)","A",1
3246,1,14,23,0.0008225,"\int \frac{1}{3} \left(8+6 x-27 x^2\right) \, dx","Integrate[(8 + 6*x - 27*x^2)/3,x]","-3 x^3+x^2+\frac{8 x}{3}","-3 \left(\left(\frac{1}{3}-x\right)^2-3\right) x+(-x-6) x-1",1,"(8*x)/3 + x^2 - 3*x^3","A",1
3247,1,27,26,0.0593258,"\int \frac{1-36 x-3 x^2+e^x \left(-18-18 x-3 x^2\right)}{36+12 x+x^2+e \left(36+12 x+x^2\right)} \, dx","Integrate[(1 - 36*x - 3*x^2 + E^x*(-18 - 18*x - 3*x^2))/(36 + 12*x + x^2 + E*(36 + 12*x + x^2)),x]","-\frac{3 x^2+3 \left(e^x+6\right) x+109}{(1+e) (x+6)}","4-\frac{x \left(3 \left(x+e^x\right)+\frac{1}{x}\right)}{(1+e) (x+6)}",1,"-((109 + 3*(6 + E^x)*x + 3*x^2)/((1 + E)*(6 + x)))","A",1
3248,1,98,32,0.4830789,"\int \frac{\exp \left(\frac{-12+4 x+\left(-5 x^2-5 e^x x^2-10 x^3\right) \log \left(e^{-x} x\right)}{-3+x}\right) \left(15 x+10 x^2-35 x^3+10 x^4+e^x \left(15 x-20 x^2+5 x^3\right)+\left(30 x+85 x^2-20 x^3+e^x \left(30 x+10 x^2-5 x^3\right)\right) \log \left(e^{-x} x\right)\right)}{9-6 x+x^2} \, dx","Integrate[(E^((-12 + 4*x + (-5*x^2 - 5*E^x*x^2 - 10*x^3)*Log[x/E^x])/(-3 + x))*(15*x + 10*x^2 - 35*x^3 + 10*x^4 + E^x*(15*x - 20*x^2 + 5*x^3) + (30*x + 85*x^2 - 20*x^3 + E^x*(30*x + 10*x^2 - 5*x^3))*Log[x/E^x]))/(9 - 6*x + x^2),x]","x^{-\frac{5 \left(2 x^3+\left(e^x+1\right) x^2-63\right)}{x-3}} \left(e^{-x} x\right)^{-\frac{315}{x-3}} \exp \left(\frac{5 x \left(\left(2 x^2+e^x x+x-21\right) \log (x)-\left(2 x^2+e^x x+x-21\right) \log \left(e^{-x} x\right)+21 (x-3)\right)}{x-3}+4\right)","\exp \left(\frac{5 \left(2 x+e^x+1\right) x^2 \log \left(e^{-x} x\right)}{3-x}+4\right)",1,"E^(4 + (5*x*(21*(-3 + x) + (-21 + x + E^x*x + 2*x^2)*Log[x] - (-21 + x + E^x*x + 2*x^2)*Log[x/E^x]))/(-3 + x))/(x^((5*(-63 + (1 + E^x)*x^2 + 2*x^3))/(-3 + x))*(x/E^x)^(315/(-3 + x)))","B",0
3249,1,32,27,0.1915907,"\int \frac{265 x+512 x^2+e^{-2+x} \left(-256 x-256 x^2\right)+\left(-9-512 x+e^{-2+x} (256+256 x)\right) \log \left(4 e^{2 x}\right)+\left(-256 x+256 \log \left(4 e^{2 x}\right)\right) \log \left(-x+\log \left(4 e^{2 x}\right)\right)}{-256 x+256 \log \left(4 e^{2 x}\right)} \, dx","Integrate[(265*x + 512*x^2 + E^(-2 + x)*(-256*x - 256*x^2) + (-9 - 512*x + E^(-2 + x)*(256 + 256*x))*Log[4*E^(2*x)] + (-256*x + 256*Log[4*E^(2*x)])*Log[-x + Log[4*E^(2*x)]])/(-256*x + 256*Log[4*E^(2*x)]),x]","-\frac{1}{256} x \left(256 x-256 e^{x-2}-256 \log \left(\log \left(4 e^{2 x}\right)-x\right)+9\right)","x \left(-x+e^{x-2}+\log \left(\log \left(4 e^{2 x}\right)-x\right)-\frac{9}{256}\right)",1,"-1/256*(x*(9 - 256*E^(-2 + x) + 256*x - 256*Log[-x + Log[4*E^(2*x)]]))","A",1
3250,1,25,22,0.0877156,"\int \frac{e^{5+x} \left(-9+24 x-16 x^2\right)+e^5 \left(9-24 x+16 x^2\right)+12 e^4 \log (2)}{e^5 \left(9-24 x+16 x^2\right)} \, dx","Integrate[(E^(5 + x)*(-9 + 24*x - 16*x^2) + E^5*(9 - 24*x + 16*x^2) + 12*E^4*Log[2])/(E^5*(9 - 24*x + 16*x^2)),x]","\frac{e x-e^{x+1}+\frac{\log (4096)}{12-16 x}}{e}","x-e^x-\frac{3 \log (2)}{e (4 x-3)}+4",1,"(-E^(1 + x) + E*x + Log[4096]/(12 - 16*x))/E","A",1
3251,1,31,31,0.1657236,"\int \frac{-4+6 x-2 x^2+\left(2 x-x^2+x \log (x)\right) \log (24-12 x+12 \log (x))+\left(-4+4 x-x^2+(-2+x) \log (x)\right) \log (24-12 x+12 \log (x)) \log \left(\frac{1}{(-8+4 x) \log ^2(24-12 x+12 \log (x))}\right)}{\left(-20 x^2+20 x^3-5 x^4+\left(-10 x^2+5 x^3\right) \log (x)\right) \log (24-12 x+12 \log (x))+\left(-40 x+40 x^2-10 x^3+\left(-20 x+10 x^2\right) \log (x)\right) \log (24-12 x+12 \log (x)) \log \left(\frac{1}{(-8+4 x) \log ^2(24-12 x+12 \log (x))}\right)+\left(-20+20 x-5 x^2+(-10+5 x) \log (x)\right) \log (24-12 x+12 \log (x)) \log ^2\left(\frac{1}{(-8+4 x) \log ^2(24-12 x+12 \log (x))}\right)} \, dx","Integrate[(-4 + 6*x - 2*x^2 + (2*x - x^2 + x*Log[x])*Log[24 - 12*x + 12*Log[x]] + (-4 + 4*x - x^2 + (-2 + x)*Log[x])*Log[24 - 12*x + 12*Log[x]]*Log[1/((-8 + 4*x)*Log[24 - 12*x + 12*Log[x]]^2)])/((-20*x^2 + 20*x^3 - 5*x^4 + (-10*x^2 + 5*x^3)*Log[x])*Log[24 - 12*x + 12*Log[x]] + (-40*x + 40*x^2 - 10*x^3 + (-20*x + 10*x^2)*Log[x])*Log[24 - 12*x + 12*Log[x]]*Log[1/((-8 + 4*x)*Log[24 - 12*x + 12*Log[x]]^2)] + (-20 + 20*x - 5*x^2 + (-10 + 5*x)*Log[x])*Log[24 - 12*x + 12*Log[x]]*Log[1/((-8 + 4*x)*Log[24 - 12*x + 12*Log[x]]^2)]^2),x]","\frac{x}{5 \left(x+\log \left(\frac{1}{4 (x-2) \log ^2(12 (-x+\log (x)+2))}\right)\right)}","\frac{x}{5 \left(x+\log \left(\frac{1}{4 (x-2) \log ^2(12 (-x+\log (x)+2))}\right)\right)}",1,"x/(5*(x + Log[1/(4*(-2 + x)*Log[12*(2 - x + Log[x])]^2)]))","A",1
3252,1,36,27,0.088455,"\int \frac{9 x^3+e^{\frac{2+x+2 x^2}{x}} \left(-2-x+2 x^2\right)+e^{\frac{2+x+2 x^2}{2 x}} \left(-6 x+6 x^3\right)}{4 x^3} \, dx","Integrate[(9*x^3 + E^((2 + x + 2*x^2)/x)*(-2 - x + 2*x^2) + E^((2 + x + 2*x^2)/(2*x))*(-6*x + 6*x^3))/(4*x^3),x]","\frac{1}{4} \left(9 x+6 e^{x+\frac{1}{x}+\frac{1}{2}}+\frac{e^{2 x+\frac{2}{x}+1}}{x}\right)","\frac{1}{4} \left(\frac{e^{x+\frac{x+2}{2 x}}}{x}+3\right)^2 x",1,"(6*E^(1/2 + x^(-1) + x) + E^(1 + 2/x + 2*x)/x + 9*x)/4","A",1
3253,1,12,14,0.3278023,"\int \frac{-12-4 \log (x)+(3+\log (x))^x (-4+(-12-4 \log (x)) \log (3+\log (x)))}{3+3 x+(1+x) \log (x)+(3+\log (x))^{1+x}} \, dx","Integrate[(-12 - 4*Log[x] + (3 + Log[x])^x*(-4 + (-12 - 4*Log[x])*Log[3 + Log[x]]))/(3 + 3*x + (1 + x)*Log[x] + (3 + Log[x])^(1 + x)),x]","-4 \log \left(x+(\log (x)+3)^x+1\right)","\log \left(\frac{16}{\left(x+(\log (x)+3)^x+1\right)^4}\right)",1,"-4*Log[1 + x + (3 + Log[x])^x]","A",1
3254,1,2,12,0.0001406,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log \left(2 \left(1+e^9+e^{16}\right) x\right)",1,"Log[x]","A",1
3255,1,32,35,0.1174832,"\int \frac{-1968+1760 x-560 x^2+1280 x^4-512 x^5+\left(-656+1024 x-1136 x^2+1024 x^3-256 x^4\right) \log (\log (4))}{75645 x^2-67650 x^3+34805 x^4+10880 x^5-7520 x^6+2560 x^7+1280 x^8+\left(50430 x^2-61910 x^3+43840 x^4-7360 x^5-2560 x^6+2560 x^7\right) \log (\log (4))+\left(8405 x^2-13120 x^3+11680 x^4-5120 x^5+1280 x^6\right) \log ^2(\log (4))} \, dx","Integrate[(-1968 + 1760*x - 560*x^2 + 1280*x^4 - 512*x^5 + (-656 + 1024*x - 1136*x^2 + 1024*x^3 - 256*x^4)*Log[Log[4]])/(75645*x^2 - 67650*x^3 + 34805*x^4 + 10880*x^5 - 7520*x^6 + 2560*x^7 + 1280*x^8 + (50430*x^2 - 61910*x^3 + 43840*x^4 - 7360*x^5 - 2560*x^6 + 2560*x^7)*Log[Log[4]] + (8405*x^2 - 13120*x^3 + 11680*x^4 - 5120*x^5 + 1280*x^6)*Log[Log[4]]^2),x]","\frac{16 (x-1)^2}{5 x \left(16 x^2-32 x+41\right) (x+3+\log (\log (4)))}","\frac{4}{5 x \left(\frac{25 x^2}{4 \left(x-x^2\right)^2}+4\right) (x+3+\log (\log (4)))}",1,"(16*(-1 + x)^2)/(5*x*(41 - 32*x + 16*x^2)*(3 + x + Log[Log[4]]))","A",1
3256,1,26,34,0.0492638,"\int \frac{e^{\frac{x}{4+e^2}} \log (2)+\left(-4-e^2\right) \log (2)+\left(e^{\frac{x}{4+e^2}} \left(8+2 e^2\right)-8 x-2 e^2 x\right) \log ^2\left(e^{\frac{x}{4+e^2}}-x\right)}{\left(e^{\frac{x}{4+e^2}} \left(4+e^2\right)-4 x-e^2 x\right) \log ^2\left(e^{\frac{x}{4+e^2}}-x\right)} \, dx","Integrate[(E^(x/(4 + E^2))*Log[2] + (-4 - E^2)*Log[2] + (E^(x/(4 + E^2))*(8 + 2*E^2) - 8*x - 2*E^2*x)*Log[E^(x/(4 + E^2)) - x]^2)/((E^(x/(4 + E^2))*(4 + E^2) - 4*x - E^2*x)*Log[E^(x/(4 + E^2)) - x]^2),x]","2 x-\frac{\log (2)}{\log \left(e^{\frac{x}{4+e^2}}-x\right)}","2 x-\frac{\log (2)}{\log \left(e^{\frac{x}{4+e^2}}-x\right)}+e^{\frac{5}{\log (2)}}",1,"2*x - Log[2]/Log[E^(x/(4 + E^2)) - x]","A",1
3257,1,41,31,0.0963676,"\int \frac{-11520+13248 x-1335 x^2-186 x^3-3 x^4+\left(81 x^2-144 x^3+82 x^4-16 x^5+x^6\right) \log (3)+\left(-6144+2880 x+204 x^2+\left(108 x^2-132 x^3+44 x^4-4 x^5\right) \log (3)\right) \log (x)+\left(-768+3 x^2+\left(54 x^2-40 x^3+6 x^4\right) \log (3)\right) \log ^2(x)+\left(12 x^2-4 x^3\right) \log (3) \log ^3(x)+x^2 \log (3) \log ^4(x)}{\left(81 x^2-144 x^3+82 x^4-16 x^5+x^6\right) \log (3)+\left(108 x^2-132 x^3+44 x^4-4 x^5\right) \log (3) \log (x)+\left(54 x^2-40 x^3+6 x^4\right) \log (3) \log ^2(x)+\left(12 x^2-4 x^3\right) \log (3) \log ^3(x)+x^2 \log (3) \log ^4(x)} \, dx","Integrate[(-11520 + 13248*x - 1335*x^2 - 186*x^3 - 3*x^4 + (81*x^2 - 144*x^3 + 82*x^4 - 16*x^5 + x^6)*Log[3] + (-6144 + 2880*x + 204*x^2 + (108*x^2 - 132*x^3 + 44*x^4 - 4*x^5)*Log[3])*Log[x] + (-768 + 3*x^2 + (54*x^2 - 40*x^3 + 6*x^4)*Log[3])*Log[x]^2 + (12*x^2 - 4*x^3)*Log[3]*Log[x]^3 + x^2*Log[3]*Log[x]^4)/((81*x^2 - 144*x^3 + 82*x^4 - 16*x^5 + x^6)*Log[3] + (108*x^2 - 132*x^3 + 44*x^4 - 4*x^5)*Log[3]*Log[x] + (54*x^2 - 40*x^3 + 6*x^4)*Log[3]*Log[x]^2 + (12*x^2 - 4*x^3)*Log[3]*Log[x]^3 + x^2*Log[3]*Log[x]^4),x]","\frac{\frac{3 (x+16)^2}{x \left(x^2-8 x+\log ^2(x)-2 (x-3) \log (x)+9\right)}+x \log (3)}{\log (3)}","x+\frac{3 (x+16)^2}{x \log (3) \left((-x+\log (x)+3)^2-2 x\right)}",1,"(x*Log[3] + (3*(16 + x)^2)/(x*(9 - 8*x + x^2 - 2*(-3 + x)*Log[x] + Log[x]^2)))/Log[3]","A",1
3258,1,20,21,0.1649871,"\int \frac{(5-2 x) \log (x)+(-5+x) \log \left(-5 x+x^2\right)+\left(5 x-x^2+\left(-5 x+x^2\right) \log (x)\right) \log ^2\left(-5 x+x^2\right)+\left(-5 x+x^2+\left(-5 x+x^2\right) \log (x)\right) \log \left(x^2\right) \log ^2\left(-5 x+x^2\right)}{\left(-5 x+x^2\right) \log ^2\left(-5 x+x^2\right)} \, dx","Integrate[((5 - 2*x)*Log[x] + (-5 + x)*Log[-5*x + x^2] + (5*x - x^2 + (-5*x + x^2)*Log[x])*Log[-5*x + x^2]^2 + (-5*x + x^2 + (-5*x + x^2)*Log[x])*Log[x^2]*Log[-5*x + x^2]^2)/((-5*x + x^2)*Log[-5*x + x^2]^2),x]","\log (x) \left(x \left(\log \left(x^2\right)-1\right)+\frac{1}{\log ((x-5) x)}\right)","\log (x) \left(x \log \left(x^2\right)-x+\frac{1}{\log ((x-5) x)}\right)",1,"Log[x]*(Log[(-5 + x)*x]^(-1) + x*(-1 + Log[x^2]))","A",1
3259,1,16,24,0.0000736,"\int \left(-1+e^{e^4}-8 x\right) \, dx","Integrate[-1 + E^E^4 - 8*x,x]","-4 x^2+e^{e^4} x-x","-4 x^2+e^{e^4} x-x+e^4+3-\log (4)",1,"-x + E^E^4*x - 4*x^2","A",1
3260,1,23,22,0.1011712,"\int \frac{-85-80 x+(10+100 x) \log (x)+25 \log ^2(x)}{x+10 x \log (x)+25 x \log ^2(x)} \, dx","Integrate[(-85 - 80*x + (10 + 100*x)*Log[x] + 25*Log[x]^2)/(x + 10*x*Log[x] + 25*x*Log[x]^2),x]","5 \left(\frac{100 x+86}{125 \log (x)+25}+\frac{\log (x)}{5}\right)","\frac{4 x+(1-\log (x))^2+2}{\log (x)+\frac{1}{5}}",1,"5*(Log[x]/5 + (86 + 100*x)/(25 + 125*Log[x]))","A",1
3261,1,41,32,0.0657825,"\int \frac{3 e^{-x} x \left(9 x^2-9 x^3+e^{3 x} \left(-4+14 x-6 x^2\right)+e^{2 x} \left(16-46 x+42 x^2-9 x^3\right)+e^x \left(24 x-42 x^2+18 x^3\right)\right)}{e^{4 x} x+9 x^3+e^{3 x} \left(-8 x+6 x^2\right)+e^x \left(24 x^2-18 x^3\right)+e^{2 x} \left(16 x-30 x^2+9 x^3\right)} \, dx","Integrate[(3*x*(9*x^2 - 9*x^3 + E^(3*x)*(-4 + 14*x - 6*x^2) + E^(2*x)*(16 - 46*x + 42*x^2 - 9*x^3) + E^x*(24*x - 42*x^2 + 18*x^3)))/(E^x*(E^(4*x)*x + 9*x^3 + E^(3*x)*(-8*x + 6*x^2) + E^x*(24*x^2 - 18*x^3) + E^(2*x)*(16*x - 30*x^2 + 9*x^3))),x]","\frac{3 e^{-x} x \left(e^x (3 x-4)-3 x\right)}{-3 x+e^{2 x}+e^x (3 x-4)}","\frac{3 e^{-x} x}{\frac{e^x}{3 \left(x-e^{-x} x\right)-4}+1}",1,"(3*x*(-3*x + E^x*(-4 + 3*x)))/(E^x*(E^(2*x) - 3*x + E^x*(-4 + 3*x)))","A",1
3262,1,10,10,0.0560431,"\int e^{2+x-8 e^x x} (-8-8 x) \, dx","Integrate[E^(2 + x - 8*E^x*x)*(-8 - 8*x),x]","e^{2-8 e^x x}","e^{2-8 e^x x}",1,"E^(2 - 8*E^x*x)","A",1
3263,1,18,16,0.1580901,"\int \frac{e^{-1+12 x} (4-48 x)-x^2}{16 e^{-2+24 x}+8 e^{-1+12 x} x^2+x^4} \, dx","Integrate[(E^(-1 + 12*x)*(4 - 48*x) - x^2)/(16*E^(-2 + 24*x) + 8*E^(-1 + 12*x)*x^2 + x^4),x]","\frac{e x}{e x^2+4 e^{12 x}}","\frac{1}{x+\frac{4 e^{12 x-1}}{x}}",1,"(E*x)/(4*E^(12*x) + E*x^2)","A",1
3264,1,19,27,0.0194838,"\int \frac{(6-3 x) \log (-4+2 x)+\left(2-4 x+2 x^2\right) \log (\log (-4+2 x))}{\left(-6+15 x-12 x^2+3 x^3\right) \log (-4+2 x)} \, dx","Integrate[((6 - 3*x)*Log[-4 + 2*x] + (2 - 4*x + 2*x^2)*Log[Log[-4 + 2*x]])/((-6 + 15*x - 12*x^2 + 3*x^3)*Log[-4 + 2*x]),x]","\frac{1}{x-1}+\frac{1}{3} \log ^2(\log (2 (x-2)))","-\frac{x}{x-x^2}+\frac{1}{3} \log ^2(\log (2 x-4))+1",1,"(-1 + x)^(-1) + Log[Log[2*(-2 + x)]]^2/3","A",1
3265,1,20,24,0.0240782,"\int \frac{\left(-1-240 x-240 e^{16} x\right) \log \left(5 e^3\right)}{x^2+240 x^3+14400 x^4+14400 e^{32} x^4+e^{16} \left(240 x^3+28800 x^4\right)} \, dx","Integrate[((-1 - 240*x - 240*E^16*x)*Log[5*E^3])/(x^2 + 240*x^3 + 14400*x^4 + 14400*E^32*x^4 + E^16*(240*x^3 + 28800*x^4)),x]","\frac{3+\log (5)}{x \left(120 \left(1+e^{16}\right) x+1\right)}","\frac{\log \left(5 e^3\right)}{x \left(24 \left(5+5 e^{16}\right) x+1\right)}",1,"(3 + Log[5])/(x*(1 + 120*(1 + E^16)*x))","A",1
3266,1,16,18,0.0239053,"\int \frac{1}{4} e^{-3+x} (-25-5 x+10 \log (4)) \, dx","Integrate[(E^(-3 + x)*(-25 - 5*x + 10*Log[4]))/4,x]","-\frac{5}{4} e^{x-3} (x+4-2 \log (4))","\frac{5}{4} e^{x-3} (-x-4+2 \log (4))",1,"(-5*E^(-3 + x)*(4 + x - 2*Log[4]))/4","A",1
3267,1,21,13,0.0085577,"\int \left(-6 x+1156 e^{289 x^4} x^3\right) \, dx","Integrate[-6*x + 1156*E^(289*x^4)*x^3,x]","2 \left(\frac{e^{289 x^4}}{2}-\frac{3 x^2}{2}\right)","e^{289 x^4}-3 x^2",1,"2*(E^(289*x^4)/2 - (3*x^2)/2)","A",1
3268,1,12,14,0.069309,"\int \frac{e^{-x} (3+(-9-3 x) \log (x))}{x^4} \, dx","Integrate[(3 + (-9 - 3*x)*Log[x])/(E^x*x^4),x]","\frac{3 e^{-x} \log (x)}{x^3}","\frac{3 e^{-x} \log (x)}{x^3}+5",1,"(3*Log[x])/(E^x*x^3)","A",1
3269,1,15,15,0.0722726,"\int \frac{-36 x-72 x^2+72 x \log (x)}{196 x^2-196 x \log (x)+49 \log ^2(x)} \, dx","Integrate[(-36*x - 72*x^2 + 72*x*Log[x])/(196*x^2 - 196*x*Log[x] + 49*Log[x]^2),x]","\frac{36 x^2}{49 (\log (x)-2 x)}","\frac{36 x^2}{49 (\log (x)-2 x)}",1,"(36*x^2)/(49*(-2*x + Log[x]))","A",1
3270,1,21,19,0.0048194,"\int \frac{(-12+2 x) \log (3)+\log (4)}{\log (4)} \, dx","Integrate[((-12 + 2*x)*Log[3] + Log[4])/Log[4],x]","\frac{x^2 \log (3)}{\log (4)}+x-\frac{12 x \log (3)}{\log (4)}","x+\frac{\left((6-x)^2-1\right) \log (3)}{\log (4)}+2",1,"x - (12*x*Log[3])/Log[4] + (x^2*Log[3])/Log[4]","A",1
3271,1,18,18,0.6094418,"\int e^{-2 x-4 e^{e^x} x} \left(1+e^{2 x+4 e^{e^x} x}-2 x+e^{e^x} \left(-4 x-4 e^x x^2\right)\right) \, dx","Integrate[E^(-2*x - 4*E^E^x*x)*(1 + E^(2*x + 4*E^E^x*x) - 2*x + E^E^x*(-4*x - 4*E^x*x^2)),x]","e^{-4 e^{e^x} x-2 x} x+x","e^{-4 e^{e^x} x-2 x} x+x",1,"x + E^(-2*x - 4*E^E^x*x)*x","A",1
3272,1,27,27,0.2028167,"\int \frac{12 x^2+e^x \left(-60 x-48 x^2+12 x^3+e^{4/x} \left(-240-12 x+12 x^2\right)\right)+\left(-60 x+12 x^2+e^{4/x} \left(-240-12 x+12 x^2\right)\right) \log (5-x)+\left(e^x \left(60 x-12 x^2\right)+\left(60 x-12 x^2\right) \log (5-x)\right) \log \left(e^x+\log (5-x)\right)}{e^x \left(-5 x+x^2+e^{8/x} \left(-5 x+x^2\right)+e^{4/x} \left(-10 x+2 x^2\right)\right)+\left(-5 x+x^2+e^{8/x} \left(-5 x+x^2\right)+e^{4/x} \left(-10 x+2 x^2\right)\right) \log (5-x)+\left(e^x \left(10 x-2 x^2+e^{4/x} \left(10 x-2 x^2\right)\right)+\left(10 x-2 x^2+e^{4/x} \left(10 x-2 x^2\right)\right) \log (5-x)\right) \log \left(e^x+\log (5-x)\right)+\left(e^x \left(-5 x+x^2\right)+\left(-5 x+x^2\right) \log (5-x)\right) \log ^2\left(e^x+\log (5-x)\right)} \, dx","Integrate[(12*x^2 + E^x*(-60*x - 48*x^2 + 12*x^3 + E^(4/x)*(-240 - 12*x + 12*x^2)) + (-60*x + 12*x^2 + E^(4/x)*(-240 - 12*x + 12*x^2))*Log[5 - x] + (E^x*(60*x - 12*x^2) + (60*x - 12*x^2)*Log[5 - x])*Log[E^x + Log[5 - x]])/(E^x*(-5*x + x^2 + E^(8/x)*(-5*x + x^2) + E^(4/x)*(-10*x + 2*x^2)) + (-5*x + x^2 + E^(8/x)*(-5*x + x^2) + E^(4/x)*(-10*x + 2*x^2))*Log[5 - x] + (E^x*(10*x - 2*x^2 + E^(4/x)*(10*x - 2*x^2)) + (10*x - 2*x^2 + E^(4/x)*(10*x - 2*x^2))*Log[5 - x])*Log[E^x + Log[5 - x]] + (E^x*(-5*x + x^2) + (-5*x + x^2)*Log[5 - x])*Log[E^x + Log[5 - x]]^2),x]","-\frac{12 x}{-e^{4/x}+\log \left(e^x+\log (5-x)\right)-1}","\frac{12 x}{e^{4/x}-\log \left(e^x+\log (5-x)\right)+1}",1,"(-12*x)/(-1 - E^(4/x) + Log[E^x + Log[5 - x]])","A",1
3273,1,56,30,0.0049858,"\int \frac{8-240 x^2+7800 x^4-64000 x^6+390625 x^9+1600000 x^{10}-4875000 x^{12}+3750000 x^{14}-3125000 x^{16}}{390625 x^9} \, dx","Integrate[(8 - 240*x^2 + 7800*x^4 - 64000*x^6 + 390625*x^9 + 1600000*x^10 - 4875000*x^12 + 3750000*x^14 - 3125000*x^16)/(390625*x^9),x]","-x^8-\frac{1}{390625 x^8}+\frac{8 x^6}{5}+\frac{8}{78125 x^6}-\frac{78 x^4}{25}-\frac{78}{15625 x^4}+\frac{256 x^2}{125}+\frac{256}{3125 x^2}+x","-\left(\left(\frac{1}{5 x}-x\right)^4+1\right)^2+x+e^3-\frac{e}{3}-5",1,"-1/390625*1/x^8 + 8/(78125*x^6) - 78/(15625*x^4) + 256/(3125*x^2) + x + (256*x^2)/125 - (78*x^4)/25 + (8*x^6)/5 - x^8","A",1
3274,1,97,33,0.1134894,"\int \frac{-10-10 x+(-10-10 x) \log (x)-10 x \log ^2(x)+e^{3 e^{-e^5}} \left(-20-20 x+(-20-20 x) \log (x)-20 x \log ^2(x)\right)+e^{6 e^{-e^5}} \left(-10-10 x+(-10-10 x) \log (x)-10 x \log ^2(x)\right)}{36+12 x^2+x^4+\left(24 x+4 x^3\right) \log (x)+\left(16 x^2+2 x^4\right) \log ^2(x)+4 x^3 \log ^3(x)+x^4 \log ^4(x)+e^{6 e^{-e^5}} \left(1+2 x^2+x^4+\left(4 x+4 x^3\right) \log (x)+\left(6 x^2+2 x^4\right) \log ^2(x)+4 x^3 \log ^3(x)+x^4 \log ^4(x)\right)+e^{3 e^{-e^5}} \left(12+14 x^2+2 x^4+\left(28 x+8 x^3\right) \log (x)+\left(22 x^2+4 x^4\right) \log ^2(x)+8 x^3 \log ^3(x)+2 x^4 \log ^4(x)\right)} \, dx","Integrate[(-10 - 10*x + (-10 - 10*x)*Log[x] - 10*x*Log[x]^2 + E^(3/E^E^5)*(-20 - 20*x + (-20 - 20*x)*Log[x] - 20*x*Log[x]^2) + E^(6/E^E^5)*(-10 - 10*x + (-10 - 10*x)*Log[x] - 10*x*Log[x]^2))/(36 + 12*x^2 + x^4 + (24*x + 4*x^3)*Log[x] + (16*x^2 + 2*x^4)*Log[x]^2 + 4*x^3*Log[x]^3 + x^4*Log[x]^4 + E^(6/E^E^5)*(1 + 2*x^2 + x^4 + (4*x + 4*x^3)*Log[x] + (6*x^2 + 2*x^4)*Log[x]^2 + 4*x^3*Log[x]^3 + x^4*Log[x]^4) + E^(3/E^E^5)*(12 + 14*x^2 + 2*x^4 + (28*x + 8*x^3)*Log[x] + (22*x^2 + 4*x^4)*Log[x]^2 + 8*x^3*Log[x]^3 + 2*x^4*Log[x]^4)),x]","\frac{10 \left(1+e^{3 e^{-e^5}}\right)^2}{\left(2+2 e^{3 e^{-e^5}}\right) \left(x^2+e^{3 e^{-e^5}} \left(x^2+1\right)+\left(1+e^{3 e^{-e^5}}\right) x^2 \log ^2(x)+2 \left(1+e^{3 e^{-e^5}}\right) x \log (x)+6\right)}","\frac{5}{x^2+(x \log (x)+1)^2+\frac{5}{1+e^{3 e^{-e^5}}}}",1,"(10*(1 + E^(3/E^E^5))^2)/((2 + 2*E^(3/E^E^5))*(6 + x^2 + E^(3/E^E^5)*(1 + x^2) + 2*(1 + E^(3/E^E^5))*x*Log[x] + (1 + E^(3/E^E^5))*x^2*Log[x]^2))","B",1
3275,1,26,26,0.1439838,"\int \frac{e^4 \left(x^3+x^4\right)+e^{4+x^2} \left(2 x^2+2 x^3-2 x^4-2 x^5\right)+\left(e^{4+x^2} (1+x)+e^4 \left(x+x^2\right)\right) \log (1+x)+\log (3 x) \left(e^{4+x^2} x+e^4 x^2+\left(e^4 \left(-x-x^2\right)+e^{4+x^2} \left(-2 x^2-2 x^3\right)\right) \log (1+x)\right)}{x^3+x^4+e^{2 x^2} \left(x+x^2\right)+e^{x^2} \left(2 x^2+2 x^3\right)} \, dx","Integrate[(E^4*(x^3 + x^4) + E^(4 + x^2)*(2*x^2 + 2*x^3 - 2*x^4 - 2*x^5) + (E^(4 + x^2)*(1 + x) + E^4*(x + x^2))*Log[1 + x] + Log[3*x]*(E^(4 + x^2)*x + E^4*x^2 + (E^4*(-x - x^2) + E^(4 + x^2)*(-2*x^2 - 2*x^3))*Log[1 + x]))/(x^3 + x^4 + E^(2*x^2)*(x + x^2) + E^x^2*(2*x^2 + 2*x^3)),x]","\frac{e^4 \left(x^2+\log (3 x) \log (x+1)\right)}{e^{x^2}+x}","\frac{e^4 \left(x^2+\log (3 x) \log (x+1)\right)}{e^{x^2}+x}",1,"(E^4*(x^2 + Log[3*x]*Log[1 + x]))/(E^x^2 + x)","A",1
3276,1,23,24,0.0811965,"\int \frac{-3125-250 x-5 x^2+e^{3/x} \left(-1125+705 x+15 x^2\right)}{625+50 x+x^2} \, dx","Integrate[(-3125 - 250*x - 5*x^2 + E^(3/x)*(-1125 + 705*x + 15*x^2))/(625 + 50*x + x^2),x]","15 e^{3/x} \left(x+\frac{625}{x+25}-25\right)-5 x","5 \left(\frac{3 e^{3/x} x^2}{x+25}-x+1\right)",1,"-5*x + 15*E^(3/x)*(-25 + x + 625/(25 + x))","A",1
3277,1,31,32,0.9507996,"\int \frac{-140+88 x^2-16 x^3-12 x^4+\left(-40 x+8 x^3\right) \log \left(e^{7/x} \left(25-10 x^2+x^4\right)\right)}{-45 x^2-30 x^3+4 x^4+6 x^5+x^6+\left(30 x+10 x^2-6 x^3-2 x^4\right) \log \left(e^{7/x} \left(25-10 x^2+x^4\right)\right)+\left(-5+x^2\right) \log ^2\left(e^{7/x} \left(25-10 x^2+x^4\right)\right)} \, dx","Integrate[(-140 + 88*x^2 - 16*x^3 - 12*x^4 + (-40*x + 8*x^3)*Log[E^(7/x)*(25 - 10*x^2 + x^4)])/(-45*x^2 - 30*x^3 + 4*x^4 + 6*x^5 + x^6 + (30*x + 10*x^2 - 6*x^3 - 2*x^4)*Log[E^(7/x)*(25 - 10*x^2 + x^4)] + (-5 + x^2)*Log[E^(7/x)*(25 - 10*x^2 + x^4)]^2),x]","-\frac{4 x^2}{x (x+3)-\log \left(e^{7/x} \left(x^2-5\right)^2\right)}","\frac{4 x^2}{\log \left(e^{7/x} \left(5-x^2\right)^2\right)-x (x+3)}",1,"(-4*x^2)/(x*(3 + x) - Log[E^(7/x)*(-5 + x^2)^2])","A",1
3278,1,27,27,0.0486695,"\int \frac{e^x x^3+e^{\frac{i \pi -\log \left(\frac{16}{3}\right)}{x}} \left(i \pi +x-\log \left(\frac{16}{3}\right)\right)}{x^3} \, dx","Integrate[(E^x*x^3 + E^((I*Pi - Log[16/3])/x)*(I*Pi + x - Log[16/3]))/x^3,x]","e^x-\frac{e^{\frac{-\log \left(\frac{16}{3}\right)+i \pi }{x}}}{x}","e^x-\frac{e^{\frac{-\log \left(\frac{16}{3}\right)+i \pi }{x}}}{x}",1,"E^x - E^((I*Pi - Log[16/3])/x)/x","A",1
3279,1,19,20,0.1574369,"\int \frac{2 x-48 x^3+e \left(1-48 x^2\right)+e^{10+2 x} \left(1+2 x-48 x^2\right)}{e x+e^{10+2 x} x+x^2} \, dx","Integrate[(2*x - 48*x^3 + E*(1 - 48*x^2) + E^(10 + 2*x)*(1 + 2*x - 48*x^2))/(E*x + E^(10 + 2*x)*x + x^2),x]","-24 x^2+\log (x)+\log \left(x+e^{2 x+10}+e\right)","\log \left(e^{-24 x^2} x \left(x+e^{2 (x+5)}+e\right)\right)",1,"-24*x^2 + Log[x] + Log[E + E^(10 + 2*x) + x]","A",1
3280,1,102,34,0.3800868,"\int \frac{e^{5 x} \left(-396+4 e^3+80 x-4 x^2\right)+e^{4 x} \left(-1584 x+1904 x^2-336 x^3+16 x^4+e^3 \left(16 x-16 x^2\right)\right)+e^{3 x} \left(-48-2376 x^2+5232 x^3-3360 x^4+528 x^5-24 x^6+e^3 \left(24 x^2-48 x^3+24 x^4\right)\right)+e^{2 x} \left(-32+64 x^2-1584 x^3+5072 x^4-5728 x^5+2592 x^6-368 x^7+16 x^8+e^3 \left(16 x^3-48 x^4+48 x^5-16 x^6\right)\right)+e^x \left(-32 x+80 x^2-32 x^3-412 x^4+1664 x^5-2700 x^6+2080 x^7-740 x^8+96 x^9-4 x^{10}+e^3 \left(4 x^4-16 x^5+24 x^6-16 x^7+4 x^8\right)\right)}{16+648 x^2-1440 x^3+7505 x^4-29320 x^5+51524 x^6-45720 x^7+21286 x^8-5080 x^9+636 x^{10}-40 x^{11}+x^{12}+e^6 \left(x^4-4 x^5+6 x^6-4 x^7+x^8\right)+e^3 \left(-8 x^2+16 x^3-170 x^4+684 x^5-1118 x^6+872 x^7-318 x^8+44 x^9-2 x^{10}\right)+e^{4 x} \left(6561+e^6-2916 x+486 x^2-36 x^3+x^4+e^3 \left(-162+36 x-2 x^2\right)\right)+e^{3 x} \left(26244 x-37908 x^2+13608 x^3-2088 x^4+148 x^5-4 x^6+e^6 \left(4 x-4 x^2\right)+e^3 \left(-648 x+792 x^2-152 x^3+8 x^4\right)\right)+e^{2 x} \left(648-144 x+39374 x^2-96228 x^3+77274 x^4-23544 x^5+3354 x^6-228 x^7+6 x^8+e^6 \left(6 x^2-12 x^3+6 x^4\right)+e^3 \left(-8-972 x^2+2160 x^3-1416 x^4+240 x^5-12 x^6\right)\right)+e^x \left(1296 x-1584 x^2+26548 x^3-90412 x^4+115668 x^5-67212 x^6+17932 x^7-2388 x^8+156 x^9-4 x^{10}+e^6 \left(4 x^3-12 x^4+12 x^5-4 x^6\right)+e^3 \left(-16 x+16 x^2-648 x^3+2088 x^4-2384 x^5+1104 x^6-168 x^7+8 x^8\right)\right)} \, dx","Integrate[(E^(5*x)*(-396 + 4*E^3 + 80*x - 4*x^2) + E^(4*x)*(-1584*x + 1904*x^2 - 336*x^3 + 16*x^4 + E^3*(16*x - 16*x^2)) + E^(3*x)*(-48 - 2376*x^2 + 5232*x^3 - 3360*x^4 + 528*x^5 - 24*x^6 + E^3*(24*x^2 - 48*x^3 + 24*x^4)) + E^(2*x)*(-32 + 64*x^2 - 1584*x^3 + 5072*x^4 - 5728*x^5 + 2592*x^6 - 368*x^7 + 16*x^8 + E^3*(16*x^3 - 48*x^4 + 48*x^5 - 16*x^6)) + E^x*(-32*x + 80*x^2 - 32*x^3 - 412*x^4 + 1664*x^5 - 2700*x^6 + 2080*x^7 - 740*x^8 + 96*x^9 - 4*x^10 + E^3*(4*x^4 - 16*x^5 + 24*x^6 - 16*x^7 + 4*x^8)))/(16 + 648*x^2 - 1440*x^3 + 7505*x^4 - 29320*x^5 + 51524*x^6 - 45720*x^7 + 21286*x^8 - 5080*x^9 + 636*x^10 - 40*x^11 + x^12 + E^6*(x^4 - 4*x^5 + 6*x^6 - 4*x^7 + x^8) + E^3*(-8*x^2 + 16*x^3 - 170*x^4 + 684*x^5 - 1118*x^6 + 872*x^7 - 318*x^8 + 44*x^9 - 2*x^10) + E^(4*x)*(6561 + E^6 - 2916*x + 486*x^2 - 36*x^3 + x^4 + E^3*(-162 + 36*x - 2*x^2)) + E^(3*x)*(26244*x - 37908*x^2 + 13608*x^3 - 2088*x^4 + 148*x^5 - 4*x^6 + E^6*(4*x - 4*x^2) + E^3*(-648*x + 792*x^2 - 152*x^3 + 8*x^4)) + E^(2*x)*(648 - 144*x + 39374*x^2 - 96228*x^3 + 77274*x^4 - 23544*x^5 + 3354*x^6 - 228*x^7 + 6*x^8 + E^6*(6*x^2 - 12*x^3 + 6*x^4) + E^3*(-8 - 972*x^2 + 2160*x^3 - 1416*x^4 + 240*x^5 - 12*x^6)) + E^x*(1296*x - 1584*x^2 + 26548*x^3 - 90412*x^4 + 115668*x^5 - 67212*x^6 + 17932*x^7 - 2388*x^8 + 156*x^9 - 4*x^10 + E^6*(4*x^3 - 12*x^4 + 12*x^5 - 4*x^6) + E^3*(-16*x + 16*x^2 - 648*x^3 + 2088*x^4 - 2384*x^5 + 1104*x^6 - 168*x^7 + 8*x^8))),x]","-\frac{4 e^x \left(-x^2+x+e^x\right)^2}{x^6-20 x^5+118 x^4-180 x^3-e^3 (x-1)^2 x^2+81 x^2+2 e^{x+3} (x-1) x-2 e^x (x-9)^2 (x-1) x-e^{2 x+3}+e^{2 x} (x-9)^2+4}","\frac{4 e^x}{-\frac{4}{\left(-x^2+x+e^x\right)^2}-(9-x)^2+e^3}",1,"(-4*E^x*(E^x + x - x^2)^2)/(4 - E^(3 + 2*x) + E^(2*x)*(-9 + x)^2 + 2*E^(3 + x)*(-1 + x)*x - 2*E^x*(-9 + x)^2*(-1 + x)*x + 81*x^2 - E^3*(-1 + x)^2*x^2 - 180*x^3 + 118*x^4 - 20*x^5 + x^6)","B",1
3281,1,32,30,0.0207158,"\int \frac{e^{3/x} (-3+x)-17 x+6 x^2+e^x \left(-12 x-12 x^2\right)+e^{2 x} \left(-2 x-4 x^2\right)}{x} \, dx","Integrate[(E^(3/x)*(-3 + x) - 17*x + 6*x^2 + E^x*(-12*x - 12*x^2) + E^(2*x)*(-2*x - 4*x^2))/x,x]","3 x^2+e^{3/x} x-12 e^x x-2 e^{2 x} x-17 x","-\left(\left(2 \left(\left(e^x+3\right)^2-x\right)-e^{3/x}-x-1\right) x\right)",1,"-17*x + E^(3/x)*x - 12*E^x*x - 2*E^(2*x)*x + 3*x^2","A",1
3282,1,28,33,0.0150556,"\int \frac{-405-774 x+36 e^2 x-432 x^2-60 x^3+9 x^4+2 x^5}{450-60 x^2+2 x^4} \, dx","Integrate[(-405 - 774*x + 36*E^2*x - 432*x^2 - 60*x^3 + 9*x^4 + 2*x^5)/(450 - 60*x^2 + 2*x^4),x]","\frac{1}{2} \left(x^2-\frac{18 \left(-9 x+e^2-34\right)}{x^2-15}+9 x\right)","\frac{(x+4)^2+x-e^2+3}{2-\frac{9}{\frac{1}{4} \left(x^2-9\right)+3}}",1,"(9*x + x^2 - (18*(-34 + E^2 - 9*x))/(-15 + x^2))/2","A",1
3283,1,32,33,0.1534109,"\int \frac{20+24 x^2+16 x^3-4 x^4+\left(-2 x^2-8 x^3+2 x^4+\left(-10-40 x+10 x^2\right) \log \left(\frac{25 x^2}{4+32 x+56 x^2-32 x^3+4 x^4}\right)\right) \log \left(\frac{1}{5} \left(x^2+5 \log \left(\frac{25 x^2}{4+32 x+56 x^2-32 x^3+4 x^4}\right)\right)\right)}{\left(-x^2-4 x^3+x^4+\left(-5-20 x+5 x^2\right) \log \left(\frac{25 x^2}{4+32 x+56 x^2-32 x^3+4 x^4}\right)\right) \log ^2\left(\frac{1}{5} \left(x^2+5 \log \left(\frac{25 x^2}{4+32 x+56 x^2-32 x^3+4 x^4}\right)\right)\right)} \, dx","Integrate[(20 + 24*x^2 + 16*x^3 - 4*x^4 + (-2*x^2 - 8*x^3 + 2*x^4 + (-10 - 40*x + 10*x^2)*Log[(25*x^2)/(4 + 32*x + 56*x^2 - 32*x^3 + 4*x^4)])*Log[(x^2 + 5*Log[(25*x^2)/(4 + 32*x + 56*x^2 - 32*x^3 + 4*x^4)])/5])/((-x^2 - 4*x^3 + x^4 + (-5 - 20*x + 5*x^2)*Log[(25*x^2)/(4 + 32*x + 56*x^2 - 32*x^3 + 4*x^4)])*Log[(x^2 + 5*Log[(25*x^2)/(4 + 32*x + 56*x^2 - 32*x^3 + 4*x^4)])/5]^2),x]","\frac{2 x}{\log \left(\frac{x^2}{5}+\log \left(\frac{25 x^2}{4 \left(x^2-4 x-1\right)^2}\right)\right)}","\frac{2 x}{\log \left(\frac{x^2}{5}+\log \left(\frac{25 x^2}{\left(2-2 \left(x^2-4 x\right)\right)^2}\right)\right)}",1,"(2*x)/Log[x^2/5 + Log[(25*x^2)/(4*(-1 - 4*x + x^2)^2)]]","A",1
3284,1,17,17,0.0309512,"\int \frac{-e^{\frac{4}{x^4}} x^5+e^{\frac{4}{x^4}} (-48-16 x) \log (6+2 x) \log (\log (6+2 x))}{\left(3 x^5+x^6\right) \log (6+2 x) \log ^2(\log (6+2 x))} \, dx","Integrate[(-(E^(4/x^4)*x^5) + E^(4/x^4)*(-48 - 16*x)*Log[6 + 2*x]*Log[Log[6 + 2*x]])/((3*x^5 + x^6)*Log[6 + 2*x]*Log[Log[6 + 2*x]]^2),x]","\frac{e^{\frac{4}{x^4}}}{\log (\log (2 (x+3)))}","\frac{e^{\frac{4}{x^4}}}{\log (\log (2 x+6))}",1,"E^(4/x^4)/Log[Log[2*(3 + x)]]","A",1
3285,1,24,22,0.0101152,"\int \frac{1}{2} \left(-4+e^{e^3-x}+8 e^x\right) \, dx","Integrate[(-4 + E^(E^3 - x) + 8*E^x)/2,x]","\frac{1}{2} \left(-4 x-e^{e^3-x}+8 e^x\right)","-2 x-\frac{e^{e^3-x}}{2}+4 e^x",1,"(-E^(E^3 - x) + 8*E^x - 4*x)/2","A",1
3286,1,31,29,0.2225542,"\int \frac{e^{e^{-2 x} x} \left(2+e^{3 x} \left(2-2 e^2\right)+e^{2 x} \left(-2+2 e^2\right)-3 x-2 x^2+e^x \left(-1+e^2 (1-2 x)+2 x\right)+e^2 \left(-x+2 x^2\right)\right)}{e^{5 x} \left(-1+3 e^2-3 e^4+e^6\right)+e^{4 x} \left(6+e^2 (-12-9 x)+3 x-3 e^6 x+e^4 (6+9 x)\right)+e^{3 x} \left(-12-12 x-3 x^2+3 e^6 x^2+e^4 \left(-12 x-9 x^2\right)+e^2 \left(12+24 x+9 x^2\right)\right)+e^{2 x} \left(8+12 x+6 x^2+x^3-e^6 x^3+e^2 \left(-12 x-12 x^2-3 x^3\right)+e^4 \left(6 x^2+3 x^3\right)\right)} \, dx","Integrate[(E^(x/E^(2*x))*(2 + E^(3*x)*(2 - 2*E^2) + E^(2*x)*(-2 + 2*E^2) - 3*x - 2*x^2 + E^x*(-1 + E^2*(1 - 2*x) + 2*x) + E^2*(-x + 2*x^2)))/(E^(5*x)*(-1 + 3*E^2 - 3*E^4 + E^6) + E^(4*x)*(6 + E^2*(-12 - 9*x) + 3*x - 3*E^6*x + E^4*(6 + 9*x)) + E^(3*x)*(-12 - 12*x - 3*x^2 + 3*E^6*x^2 + E^4*(-12*x - 9*x^2) + E^2*(12 + 24*x + 9*x^2)) + E^(2*x)*(8 + 12*x + 6*x^2 + x^3 - E^6*x^3 + E^2*(-12*x - 12*x^2 - 3*x^3) + E^4*(6*x^2 + 3*x^3))),x]","\frac{e^{e^{-2 x} x}}{\left(-e^2 x+x-e^x+e^{x+2}+2\right)^2}","\frac{e^{e^{-2 x} x}}{\left(\left(1-e^2\right) \left(e^x-x\right)-2\right)^2}",1,"E^(x/E^(2*x))/(2 - E^x + E^(2 + x) + x - E^2*x)^2","A",1
3287,1,43,32,1.7675494,"\int \frac{e^{-x} \left(12-12 e^x-x+x^2+e^3 \left(13 x-3 x^2+x^3\right)+\left(1+e^3 x\right) \log (3)+\left(-13 x+3 x^2-x^3-x \log (3)\right) \log (x)\right)}{4 x} \, dx","Integrate[(12 - 12*E^x - x + x^2 + E^3*(13*x - 3*x^2 + x^3) + (1 + E^3*x)*Log[3] + (-13*x + 3*x^2 - x^3 - x*Log[3])*Log[x])/(4*E^x*x),x]","\frac{1}{4} e^{-x} \left(\left(x^2-x-12 e^x+12+\log (3)\right) \log (x)-e^3 \left(x^2-x+12+\log (3)\right)\right)","\left(e^{-x} \left(\frac{1}{4} \left(x^2-x+\log (3)\right)+3\right)-3\right) \left(\log (x)-e^3\right)",1,"(-(E^3*(12 - x + x^2 + Log[3])) + (12 - 12*E^x - x + x^2 + Log[3])*Log[x])/(4*E^x)","A",1
3288,1,30,26,0.0064367,"\int \frac{25-7 x-18 x^2-27 x^3+18 x^4}{-9 x^2+9 x^3} \, dx","Integrate[(25 - 7*x - 18*x^2 - 27*x^3 + 18*x^4)/(-9*x^2 + 9*x^3),x]","\frac{1}{9} \left(9 x^2-9 x+\frac{25}{x}-9 \log (1-x)-18 \log (x)\right)","x^2-\log \left((1-x) x^2\right)-x+\frac{25}{9 x}",1,"(25/x - 9*x + 9*x^2 - 9*Log[1 - x] - 18*Log[x])/9","A",1
3289,1,24,29,0.1053039,"\int \frac{e^{-x} \left(36+36 x-19 x^2+10 e^x x^2+x^3\right)}{5 x^2} \, dx","Integrate[(36 + 36*x - 19*x^2 + 10*E^x*x^2 + x^3)/(5*E^x*x^2),x]","\frac{1}{5} \left(e^{-x} \left(-x-\frac{36}{x}+18\right)+10 x\right)","\frac{1}{5} e^{-x} \left(-\frac{(x-6)^2}{x}+e^x+6\right)+2 x+5",1,"((18 - 36/x - x)/E^x + 10*x)/5","A",1
3290,1,25,25,0.4395223,"\int \frac{4-x-x^2+\log (3)+e^x \left(4-6 x+x^2+(1-x) \log (3)\right)+(-4+2 x-\log (3)) \log (x)}{32 x^2-16 x^3+2 x^4+\left(16 x^2-4 x^3\right) \log (3)+2 x^2 \log ^2(3)} \, dx","Integrate[(4 - x - x^2 + Log[3] + E^x*(4 - 6*x + x^2 + (1 - x)*Log[3]) + (-4 + 2*x - Log[3])*Log[x])/(32*x^2 - 16*x^3 + 2*x^4 + (16*x^2 - 4*x^3)*Log[3] + 2*x^2*Log[3]^2),x]","\frac{x+e^x-\log (x)}{2 x (x-4-\log (3))}","\frac{x+e^x-\log (x)}{2 x (x-4-\log (3))}",1,"(E^x + x - Log[x])/(2*x*(-4 + x - Log[3]))","A",1
3291,1,19,14,0.0213372,"\int \frac{1}{2} e^{2 x} (5+2 x+2 \log (2)) \, dx","Integrate[(E^(2*x)*(5 + 2*x + 2*Log[2]))/2,x]","\frac{1}{2} e^{2 x} \left(x+\frac{1}{2} (4+\log (4))\right)","\frac{1}{2} e^{2 x} (x+2+\log (2))",1,"(E^(2*x)*(x + (4 + Log[4])/2))/2","A",1
3292,1,18,19,0.120938,"\int \frac{-92 e-56 e \log \left(\frac{x}{15}\right)-8 e \log ^2\left(\frac{x}{15}\right)}{16 x^3+8 x^3 \log \left(\frac{x}{15}\right)+x^3 \log ^2\left(\frac{x}{15}\right)} \, dx","Integrate[(-92*E - 56*E*Log[x/15] - 8*E*Log[x/15]^2)/(16*x^3 + 8*x^3*Log[x/15] + x^3*Log[x/15]^2),x]","-\frac{4 e \left(\frac{1}{\log \left(\frac{x}{15}\right)+4}-1\right)}{x^2}","\frac{e \left(4-\frac{4}{\log \left(\frac{x}{15}\right)+4}\right)}{x^2}",1,"(-4*E*(-1 + (4 + Log[x/15])^(-1)))/x^2","A",1
3293,1,6,9,0.0006251,"\int \frac{1-5 x}{x} \, dx","Integrate[(1 - 5*x)/x,x]","\log (x)-5 x","-5 (x+3)+\log (x)+3",1,"-5*x + Log[x]","A",1
3294,1,22,22,0.1097233,"\int \frac{x^2+e^{-e^{-4+4 x}+x^2} \left(4+16 e^{-4+4 x} x-8 x^2\right)}{x^2} \, dx","Integrate[(x^2 + E^(-E^(-4 + 4*x) + x^2)*(4 + 16*E^(-4 + 4*x)*x - 8*x^2))/x^2,x]","x-\frac{4 e^{x^2-e^{4 x-4}}}{x}","x-\frac{4 e^{x^2-e^{4 x-4}}}{x}",1,"(-4*E^(-E^(-4 + 4*x) + x^2))/x + x","A",1
3295,1,26,26,0.1154631,"\int \frac{\left(e^{2/x} (40-20 x)-10 x+\left(-2 x-4 e^{2/x} x\right) \log \left(\frac{x}{\left(x+2 e^{2/x} x\right)^5}\right)\right) \log \left(\frac{1+\log \left(\frac{x}{\left(x+2 e^{2/x} x\right)^5}\right)}{x}\right)}{x^2+2 e^{2/x} x^2+\left(x^2+2 e^{2/x} x^2\right) \log \left(\frac{x}{\left(x+2 e^{2/x} x\right)^5}\right)} \, dx","Integrate[((E^(2/x)*(40 - 20*x) - 10*x + (-2*x - 4*E^(2/x)*x)*Log[x/(x + 2*E^(2/x)*x)^5])*Log[(1 + Log[x/(x + 2*E^(2/x)*x)^5])/x])/(x^2 + 2*E^(2/x)*x^2 + (x^2 + 2*E^(2/x)*x^2)*Log[x/(x + 2*E^(2/x)*x)^5]),x]","\log ^2\left(\frac{\log \left(\frac{x}{\left(2 e^{2/x} x+x\right)^5}\right)+1}{x}\right)","\log ^2\left(\frac{\log \left(\frac{x}{\left(2 e^{2/x} x+x\right)^5}\right)+1}{x}\right)",1,"Log[(1 + Log[x/(x + 2*E^(2/x)*x)^5])/x]^2","A",1
3296,1,54,26,0.0983184,"\int \frac{2 e^{3 x} x-144 e^{2 x} x^2+\left(e^{2 x} \left(-432 x^2+216 x^3\right)+e^x \left(10368 x^3-1728 x^4\right)\right) \log (x)+e^x \left(20736 x^3-17280 x^4+2592 x^5\right) \log ^2(x)+\left(-20736 x^6+3456 x^7\right) \log ^3(x)}{e^{3 x}+36 e^{2 x} x^2 \log (x)+432 e^x x^4 \log ^2(x)+1728 x^6 \log ^3(x)} \, dx","Integrate[(2*E^(3*x)*x - 144*E^(2*x)*x^2 + (E^(2*x)*(-432*x^2 + 216*x^3) + E^x*(10368*x^3 - 1728*x^4))*Log[x] + E^x*(20736*x^3 - 17280*x^4 + 2592*x^5)*Log[x]^2 + (-20736*x^6 + 3456*x^7)*Log[x]^3)/(E^(3*x) + 36*E^(2*x)*x^2*Log[x] + 432*E^x*x^4*Log[x]^2 + 1728*x^6*Log[x]^3),x]","2 \left(\frac{x^2}{2}+\frac{6 e^x (x-6)}{12 x^2 \log (x)+e^x}+\frac{18 e^{2 x}}{\left(12 x^2 \log (x)+e^x\right)^2}-6 x\right)","\left(\frac{24}{\frac{e^x}{3 x^2 \log (x)}+4}-x\right)^2",1,"2*(-6*x + x^2/2 + (18*E^(2*x))/(E^x + 12*x^2*Log[x])^2 + (6*E^x*(-6 + x))/(E^x + 12*x^2*Log[x]))","B",1
3297,1,4,23,0.000161,"\int \frac{2}{x} \, dx","Integrate[2/x,x]","2 \log (x)","\log \left(x^2 \left(3-\frac{2}{\frac{1}{e^{15/4}}-3}+e^3+\log (4)\right)\right)",1,"2*Log[x]","A",1
3298,1,23,24,0.0427752,"\int \frac{-5+12 x+12 x^2-4 x^3+e^{4+x} \left(-20 x-4 x^2+2 x^3\right)}{e^4} \, dx","Integrate[(-5 + 12*x + 12*x^2 - 4*x^3 + E^(4 + x)*(-20*x - 4*x^2 + 2*x^3))/E^4,x]","-\frac{(x-5) x \left(x^2-2 e^{x+4} x+x-1\right)}{e^4}","\frac{(5-x) x \left(\left(x-2 e^{x+4}\right) x+x-1\right)}{e^4}",1,"-(((-5 + x)*x*(-1 + x - 2*E^(4 + x)*x + x^2))/E^4)","A",1
3299,1,20,22,0.4545599,"\int \frac{-16 e^x x-16 e^x \log (x)+\left(e^x \left(-8-4 x+4 x^2\right)+e^x (4+4 x) \log (x)\right) \log \left(9 x^2\right)}{\left(x^3+3 x^2 \log (x)+3 x \log ^2(x)+\log ^3(x)\right) \log ^3\left(9 x^2\right)} \, dx","Integrate[(-16*E^x*x - 16*E^x*Log[x] + (E^x*(-8 - 4*x + 4*x^2) + E^x*(4 + 4*x)*Log[x])*Log[9*x^2])/((x^3 + 3*x^2*Log[x] + 3*x*Log[x]^2 + Log[x]^3)*Log[9*x^2]^3),x]","\frac{4 e^x x}{(x+\log (x))^2 \log ^2\left(9 x^2\right)}","\frac{4 e^x x}{(x+\log (x))^2 \log ^2\left(9 x^2\right)}-2",1,"(4*E^x*x)/((x + Log[x])^2*Log[9*x^2]^2)","A",1
3300,1,13,13,0.0125002,"\int e^{-2-e^5+e^x+x} \left(1+e^x\right) \, dx","Integrate[E^(-2 - E^5 + E^x + x)*(1 + E^x),x]","e^{x+e^x-e^5-2}","e^{x+e^x-e^5-2}",1,"E^(-2 - E^5 + E^x + x)","A",1
3301,1,24,24,0.0931943,"\int \frac{e^{-2 e^x} \left(-25+x^2+e^{2 e^x} x^2+e^x \left(-50 x-20 x^2-2 x^3\right)+(-20-4 x) \log (x)+\left(10+e^x \left(20 x+4 x^2\right)\right) \log ^2(x)+4 \log ^3(x)+\left(-1-2 e^x x\right) \log ^4(x)\right)}{x^2} \, dx","Integrate[(-25 + x^2 + E^(2*E^x)*x^2 + E^x*(-50*x - 20*x^2 - 2*x^3) + (-20 - 4*x)*Log[x] + (10 + E^x*(20*x + 4*x^2))*Log[x]^2 + 4*Log[x]^3 + (-1 - 2*E^x*x)*Log[x]^4)/(E^(2*E^x)*x^2),x]","x+\frac{e^{-2 e^x} \left(x-\log ^2(x)+5\right)^2}{x}","x+\frac{e^{-2 e^x} \left(-x+\log ^2(x)-5\right)^2}{x}",1,"x + (5 + x - Log[x]^2)^2/(E^(2*E^x)*x)","A",1
3302,1,30,23,0.1958429,"\int \frac{2 e^{3 x} x-6 e^{2 x} x^2-2 x^4-8 e^4 x^4+e^x \left(6 x^3+e^4 \left(16 x^3-8 x^4\right)\right)}{e^{4+3 x}-3 e^{4+2 x} x+3 e^{4+x} x^2-e^4 x^3} \, dx","Integrate[(2*E^(3*x)*x - 6*E^(2*x)*x^2 - 2*x^4 - 8*E^4*x^4 + E^x*(6*x^3 + E^4*(16*x^3 - 8*x^4)))/(E^(4 + 3*x) - 3*E^(4 + 2*x)*x + 3*E^(4 + x)*x^2 - E^4*x^3),x]","-\frac{2 \left(-\frac{2 e^4 x^4}{\left(e^x-x\right)^2}-\frac{x^2}{2}\right)}{e^4}","\frac{4 x^4}{\left(e^x-x\right)^2}+\frac{x^2}{e^4}-2",1,"(-2*(-1/2*x^2 - (2*E^4*x^4)/(E^x - x)^2))/E^4","A",1
3303,1,16,16,0.0264903,"\int \frac{-1+15 x+(-1+5 x) \log \left(x-10 x^2+25 x^3\right)}{(-1+5 x) \log (2)} \, dx","Integrate[(-1 + 15*x + (-1 + 5*x)*Log[x - 10*x^2 + 25*x^3])/((-1 + 5*x)*Log[2]),x]","\frac{x \log \left(x (5 x-1)^2\right)}{\log (2)}","\frac{x \log \left((1-5 x)^2 x\right)}{\log (2)}",1,"(x*Log[x*(-1 + 5*x)^2])/Log[2]","A",1
3304,1,5,9,0.0009418,"\int 4 e^{4 x} \, dx","Integrate[4*E^(4*x),x]","e^{4 x}","e^{4 x}-\frac{13}{4}",1,"E^(4*x)","A",1
3305,1,23,23,0.1532262,"\int \frac{e^{\frac{e^3 x+e^{2 x} x^2 \log \left(e^4+64 x\right)}{e^3}} \left(e^7+64 e^3 x+64 e^{2 x} x^2+e^{2 x} \left(128 x^2+128 x^3+e^4 \left(2 x+2 x^2\right)\right) \log \left(e^4+64 x\right)\right)}{e^7+64 e^3 x} \, dx","Integrate[(E^((E^3*x + E^(2*x)*x^2*Log[E^4 + 64*x])/E^3)*(E^7 + 64*E^3*x + 64*E^(2*x)*x^2 + E^(2*x)*(128*x^2 + 128*x^3 + E^4*(2*x + 2*x^2))*Log[E^4 + 64*x]))/(E^7 + 64*E^3*x),x]","e^x \left(64 x+e^4\right)^{e^{2 x-3} x^2}","e^{e^{2 x-3} x^2 \log \left(64 x+e^4\right)+x}",1,"E^x*(E^4 + 64*x)^(E^(-3 + 2*x)*x^2)","A",1
3306,1,20,21,0.0375054,"\int \frac{-x-25 e^x x+2 x^2+10 e^x \log (x)+5 e^x x \log ^2(x)}{x} \, dx","Integrate[(-x - 25*E^x*x + 2*x^2 + 10*E^x*Log[x] + 5*E^x*x*Log[x]^2)/x,x]","-25 e^x+(x-1) x+5 e^x \log ^2(x)","x^2-x-5 e^x \left(5-\log ^2(x)\right)+13",1,"-25*E^x + (-1 + x)*x + 5*E^x*Log[x]^2","A",1
3307,1,27,27,0.0115841,"\int \frac{48+184 x+187 x^2+90 x^3+27 x^4}{48 x+152 x^2+187 x^3+114 x^4+27 x^5} \, dx","Integrate[(48 + 184*x + 187*x^2 + 90*x^3 + 27*x^4)/(48*x + 152*x^2 + 187*x^3 + 114*x^4 + 27*x^5),x]","-\log \left(3 x^2+5 x+4\right)+\log \left(9 x^2+23 x+12\right)+\log (x)","\log \left(\frac{x \left(-\frac{16}{3 \left(3 x+\frac{4}{x}+5\right)}-2\right)}{12 e^5}\right)",1,"Log[x] - Log[4 + 5*x + 3*x^2] + Log[12 + 23*x + 9*x^2]","A",1
3308,1,47,27,0.0282308,"\int \frac{(-200+100 x) \log (10)+\left(64 x^3-32 x^4+4 x^5\right) \log \left(2 e^{\frac{x^2}{25}}\right)}{400 x^2-200 x^3+25 x^4} \, dx","Integrate[((-200 + 100*x)*Log[10] + (64*x^3 - 32*x^4 + 4*x^5)*Log[2*E^(x^2/25)])/(400*x^2 - 200*x^3 + 25*x^4),x]","-\frac{x^4}{625}+\frac{2}{25} x^2 \log \left(2 e^{\frac{x^2}{25}}\right)-\frac{\log (10)}{2 (x-4)}+\frac{\log (10)}{2 x}","\log ^2\left(2 e^{\frac{x^2}{25}}\right)-\frac{2 \log (10)}{(x-4) x}",1,"-1/625*x^4 - Log[10]/(2*(-4 + x)) + Log[10]/(2*x) + (2*x^2*Log[2*E^(x^2/25)])/25","A",1
3309,1,22,24,0.3450297,"\int \frac{e^{-9+7 x-x^2-x \log (\log (\log (x)))} \left(-24 x+\left(24+168 x-48 x^2\right) \log (x) \log (\log (x))-24 x \log (x) \log (\log (x)) \log (\log (\log (x)))\right)}{\log (x) \log (\log (x))} \, dx","Integrate[(E^(-9 + 7*x - x^2 - x*Log[Log[Log[x]]])*(-24*x + (24 + 168*x - 48*x^2)*Log[x]*Log[Log[x]] - 24*x*Log[x]*Log[Log[x]]*Log[Log[Log[x]]]))/(Log[x]*Log[Log[x]]),x]","24 e^{-x^2+7 x-9} x \log ^{-x}(\log (x))","24 x e^{-(3-x)^2-x (\log (\log (\log (x)))-1)}",1,"(24*E^(-9 + 7*x - x^2)*x)/Log[Log[x]]^x","A",1
3310,1,29,27,0.0869521,"\int \frac{e^{98} (-3-x)+4 x+x^2+\left(-e^{98}+x\right) \log \left(\frac{e^{-x} x}{2 e^{98}-2 x}\right)}{e^{98} x^2-x^3} \, dx","Integrate[(E^98*(-3 - x) + 4*x + x^2 + (-E^98 + x)*Log[x/(E^x*(2*E^98 - 2*x))])/(E^98*x^2 - x^3),x]","\frac{4}{x}+\frac{\log \left(\frac{e^{-x} x}{2 e^{98}-2 x}\right)}{x}","\frac{x+\log \left(\frac{e^{-x} x}{2 \left(e^{98}-x\right)}\right)+4}{x}",1,"4/x + Log[x/(E^x*(2*E^98 - 2*x))]/x","A",1
3311,1,14,14,0.0011418,"\int \frac{-1536-15 e^{12}}{256 x^2} \, dx","Integrate[(-1536 - 15*E^12)/(256*x^2),x]","\frac{3 \left(512+5 e^{12}\right)}{256 x}","\frac{3 \left(2+\frac{5 e^{12}}{256}\right)}{x}",1,"(3*(512 + 5*E^12))/(256*x)","A",1
3312,1,22,22,0.0469866,"\int \frac{-6-3 x^2-24 e^{\log ^2\left(4+4 x^2+x^4\right)} x \log \left(4+4 x^2+x^4\right)}{\left(10+10 x+5 x^2+5 x^3+e^{\log ^2\left(4+4 x^2+x^4\right)} \left(10+5 x^2\right)\right) \log ^2\left(1+e^{\log ^2\left(4+4 x^2+x^4\right)}+x\right)} \, dx","Integrate[(-6 - 3*x^2 - 24*E^Log[4 + 4*x^2 + x^4]^2*x*Log[4 + 4*x^2 + x^4])/((10 + 10*x + 5*x^2 + 5*x^3 + E^Log[4 + 4*x^2 + x^4]^2*(10 + 5*x^2))*Log[1 + E^Log[4 + 4*x^2 + x^4]^2 + x]^2),x]","\frac{3}{5 \log \left(e^{\log ^2\left(\left(x^2+2\right)^2\right)}+x+1\right)}","\frac{3}{5 \log \left(e^{\log ^2\left(\left(x^2+2\right)^2\right)}+x+1\right)}",1,"3/(5*Log[1 + E^Log[(2 + x^2)^2]^2 + x])","A",1
3313,1,21,22,0.0650983,"\int e^{\frac{1}{2} \left(-12-8 e^2+2 x+x^2\right)} \left(5+e^{\frac{1}{2} \left(12+8 e^2-2 x-x^2\right)}+5 x\right) \, dx","Integrate[E^((-12 - 8*E^2 + 2*x + x^2)/2)*(5 + E^((12 + 8*E^2 - 2*x - x^2)/2) + 5*x),x]","5 e^{\frac{x^2}{2}+x-4 e^2-6}+x","5 e^{\frac{x^2}{2}+x-4 e^2-6}+x-1",1,"5*E^(-6 - 4*E^2 + x + x^2/2) + x","A",1
3314,1,22,21,0.3195263,"\int \frac{-x+x^2+2 x^3+\left(-1+x+2 x^2\right) \log (x)+\left(1-2 x^2+x^3+\left(-1-x+2 x^2\right) \log (x)\right) \log \left(-x+x^2\right)}{\left(-x^2-x^3+x^4+x^5\right) \log ^2\left(-x+x^2\right)} \, dx","Integrate[(-x + x^2 + 2*x^3 + (-1 + x + 2*x^2)*Log[x] + (1 - 2*x^2 + x^3 + (-1 - x + 2*x^2)*Log[x])*Log[-x + x^2])/((-x^2 - x^3 + x^4 + x^5)*Log[-x + x^2]^2),x]","-\frac{x+\log (x)}{x (x+1) \log ((x-1) x)}","-\frac{x+\log (x)}{\left(x^2+x\right) \log ((x-1) x)}",1,"-((x + Log[x])/(x*(1 + x)*Log[(-1 + x)*x]))","A",1
3315,0,0,32,1.790727,"\int \frac{-208 x^5+16 x^6+e^{2 x} \left(-50 x^3+4 x^4\right)+e^x \left(2 x^3-206 x^4+16 x^5\right)+\left(308 x^4-24 x^5+e^{2 x} \left(74 x^2-6 x^3\right)+e^x \left(-2 x^2+304 x^3-24 x^4\right)\right) \log \left(\frac{e^x (12-x)+25 x-2 x^2}{6 e^x+12 x}\right)+\left(-100 x^3+8 x^4+e^{2 x} \left(-24 x+2 x^2\right)+e^x \left(-98 x^2+8 x^3\right)\right) \log ^2\left(\frac{e^x (12-x)+25 x-2 x^2}{6 e^x+12 x}\right)}{e^{2 x} (-12+x)-50 x^2+4 x^3+e^x \left(-49 x+4 x^2\right)} \, dx","Integrate[(-208*x^5 + 16*x^6 + E^(2*x)*(-50*x^3 + 4*x^4) + E^x*(2*x^3 - 206*x^4 + 16*x^5) + (308*x^4 - 24*x^5 + E^(2*x)*(74*x^2 - 6*x^3) + E^x*(-2*x^2 + 304*x^3 - 24*x^4))*Log[(E^x*(12 - x) + 25*x - 2*x^2)/(6*E^x + 12*x)] + (-100*x^3 + 8*x^4 + E^(2*x)*(-24*x + 2*x^2) + E^x*(-98*x^2 + 8*x^3))*Log[(E^x*(12 - x) + 25*x - 2*x^2)/(6*E^x + 12*x)]^2)/(E^(2*x)*(-12 + x) - 50*x^2 + 4*x^3 + E^x*(-49*x + 4*x^2)),x]","\int \frac{-208 x^5+16 x^6+e^{2 x} \left(-50 x^3+4 x^4\right)+e^x \left(2 x^3-206 x^4+16 x^5\right)+\left(308 x^4-24 x^5+e^{2 x} \left(74 x^2-6 x^3\right)+e^x \left(-2 x^2+304 x^3-24 x^4\right)\right) \log \left(\frac{e^x (12-x)+25 x-2 x^2}{6 e^x+12 x}\right)+\left(-100 x^3+8 x^4+e^{2 x} \left(-24 x+2 x^2\right)+e^x \left(-98 x^2+8 x^3\right)\right) \log ^2\left(\frac{e^x (12-x)+25 x-2 x^2}{6 e^x+12 x}\right)}{e^{2 x} (-12+x)-50 x^2+4 x^3+e^x \left(-49 x+4 x^2\right)} \, dx","x^2 \left(x-\log \left(\frac{1}{6} \left(\frac{x}{2 x+e^x}-x\right)+2\right)\right)^2",1,"Integrate[(-208*x^5 + 16*x^6 + E^(2*x)*(-50*x^3 + 4*x^4) + E^x*(2*x^3 - 206*x^4 + 16*x^5) + (308*x^4 - 24*x^5 + E^(2*x)*(74*x^2 - 6*x^3) + E^x*(-2*x^2 + 304*x^3 - 24*x^4))*Log[(E^x*(12 - x) + 25*x - 2*x^2)/(6*E^x + 12*x)] + (-100*x^3 + 8*x^4 + E^(2*x)*(-24*x + 2*x^2) + E^x*(-98*x^2 + 8*x^3))*Log[(E^x*(12 - x) + 25*x - 2*x^2)/(6*E^x + 12*x)]^2)/(E^(2*x)*(-12 + x) - 50*x^2 + 4*x^3 + E^x*(-49*x + 4*x^2)), x]","F",-1
3316,0,0,25,0.7064191,"\int \frac{\left(-2 x^2+e^{e^{e^{x+x^2}}+e^{x+x^2}+x+x^2} \left(2 x^2+4 x^3\right)\right) \log \left(-e^{e^{e^{x+x^2}}}+x\right)+\left(2 e^{e^{e^{x+x^2}}} x-2 x^2\right) \log ^2\left(-e^{e^{e^{x+x^2}}}+x\right)}{27 e^{e^{e^{x+x^2}}}-27 x} \, dx","Integrate[((-2*x^2 + E^(E^E^(x + x^2) + E^(x + x^2) + x + x^2)*(2*x^2 + 4*x^3))*Log[-E^E^E^(x + x^2) + x] + (2*E^E^E^(x + x^2)*x - 2*x^2)*Log[-E^E^E^(x + x^2) + x]^2)/(27*E^E^E^(x + x^2) - 27*x),x]","\int \frac{\left(-2 x^2+e^{e^{e^{x+x^2}}+e^{x+x^2}+x+x^2} \left(2 x^2+4 x^3\right)\right) \log \left(-e^{e^{e^{x+x^2}}}+x\right)+\left(2 e^{e^{e^{x+x^2}}} x-2 x^2\right) \log ^2\left(-e^{e^{e^{x+x^2}}}+x\right)}{27 e^{e^{e^{x+x^2}}}-27 x} \, dx","\frac{1}{27} x^2 \log ^2\left(x-e^{e^{e^{x^2+x}}}\right)",1,"Integrate[((-2*x^2 + E^(E^E^(x + x^2) + E^(x + x^2) + x + x^2)*(2*x^2 + 4*x^3))*Log[-E^E^E^(x + x^2) + x] + (2*E^E^E^(x + x^2)*x - 2*x^2)*Log[-E^E^E^(x + x^2) + x]^2)/(27*E^E^E^(x + x^2) - 27*x), x]","F",-1
3317,1,19,19,0.0712097,"\int \frac{-18-83 x-15 e^{2 x} x-e^{3 x} x-12 x^2+e^x \left(-51 x-14 x^2+2 x^3\right)+\left(69 x+30 e^x x+3 e^{2 x} x+2 x^2\right) \log (x)+\left(-15 x-3 e^x x\right) \log ^2(x)+x \log ^3(x)}{-125 x-75 e^x x-15 e^{2 x} x-e^{3 x} x+\left(75 x+30 e^x x+3 e^{2 x} x\right) \log (x)+\left(-15 x-3 e^x x\right) \log ^2(x)+x \log ^3(x)} \, dx","Integrate[(-18 - 83*x - 15*E^(2*x)*x - E^(3*x)*x - 12*x^2 + E^x*(-51*x - 14*x^2 + 2*x^3) + (69*x + 30*E^x*x + 3*E^(2*x)*x + 2*x^2)*Log[x] + (-15*x - 3*E^x*x)*Log[x]^2 + x*Log[x]^3)/(-125*x - 75*E^x*x - 15*E^(2*x)*x - E^(3*x)*x + (75*x + 30*E^x*x + 3*E^(2*x)*x)*Log[x] + (-15*x - 3*E^x*x)*Log[x]^2 + x*Log[x]^3),x]","x+\frac{(x-3)^2}{\left(-e^x+\log (x)-5\right)^2}","x+\frac{(x-3)^2}{\left(e^x-\log (x)+5\right)^2}",1,"x + (-3 + x)^2/(-5 - E^x + Log[x])^2","A",1
3318,1,25,26,0.1390808,"\int \frac{-120 x-6 x^3+\left(-120 x-6 x^2+6 x^3\right) \log \left(\frac{400+40 x-39 x^2-2 x^3+x^4}{x^2}\right)}{e \left(-20-x+x^2\right) \log ^2\left(\frac{400+40 x-39 x^2-2 x^3+x^4}{x^2}\right)} \, dx","Integrate[(-120*x - 6*x^3 + (-120*x - 6*x^2 + 6*x^3)*Log[(400 + 40*x - 39*x^2 - 2*x^3 + x^4)/x^2])/(E*(-20 - x + x^2)*Log[(400 + 40*x - 39*x^2 - 2*x^3 + x^4)/x^2]^2),x]","\frac{3 x^2}{e \log \left(\frac{\left(-x^2+x+20\right)^2}{x^2}\right)}","\frac{3 x^2}{e \log \left(\left(-x+\frac{5 (x+4)}{x}-4\right)^2\right)}",1,"(3*x^2)/(E*Log[(20 + x - x^2)^2/x^2])","A",1
3319,1,93,31,0.0565841,"\int \left(1+32 x+48 x^2+16 x^3+e^{2 e^4} \left(32 x+e^5 \left(-64-48 x^2\right)+e^{10} \left(64 x+16 x^3\right)\right)+e^{e^4} \left(-64 x-48 x^2+e^5 \left(64+64 x+48 x^2+32 x^3\right)\right)\right) \, dx","Integrate[1 + 32*x + 48*x^2 + 16*x^3 + E^(2*E^4)*(32*x + E^5*(-64 - 48*x^2) + E^10*(64*x + 16*x^3)) + E^E^4*(-64*x - 48*x^2 + E^5*(64 + 64*x + 48*x^2 + 32*x^3)),x]","x \left(4 x^3+16 x^2+4 e^{2 \left(5+e^4\right)} \left(x^2+8\right) x-16 e^{5+2 e^4} \left(x^2+4\right)+8 e^{5+e^4} \left(x^3+2 x^2+4 x+8\right)-16 e^{e^4} (x+2) x+16 e^{2 e^4} x+16 x+1\right)","4 \left(e^{e^4} \left(e^5 \left(x^2+4\right)-2 x\right)+x (x+2)\right)^2+x",1,"x*(1 + 16*x + 16*E^(2*E^4)*x + 16*x^2 + 4*x^3 - 16*E^E^4*x*(2 + x) - 16*E^(5 + 2*E^4)*(4 + x^2) + 4*E^(2*(5 + E^4))*x*(8 + x^2) + 8*E^(5 + E^4)*(8 + 4*x + 2*x^2 + x^3))","B",1
3320,1,23,22,0.1253468,"\int \frac{e^{-4-x} \left(4+10 x+e^{4+x} x-10 x^2-4 x \log (x)\right)}{x} \, dx","Integrate[(E^(-4 - x)*(4 + 10*x + E^(4 + x)*x - 10*x^2 - 4*x*Log[x]))/x,x]","10 e^{-x-4} x+x+4 e^{-x-4} \log (x)","x-2 e^{-x-4} x \left(\log \left(x^{-2/x}\right)-5\right)",1,"x + 10*E^(-4 - x)*x + 4*E^(-4 - x)*Log[x]","A",1
3321,1,50,29,0.215931,"\int \frac{e^{3+x} (-1+x)-2 x^2-2 e^{8-2 x} x^2+2 x^3+e^{4-x} \left(2 x-2 x^2+2 x^3\right)+\left(2 x-2 x^2-2 e^{4-x} x^2\right) \log (x)}{x^2} \, dx","Integrate[(E^(3 + x)*(-1 + x) - 2*x^2 - 2*E^(8 - 2*x)*x^2 + 2*x^3 + E^(4 - x)*(2*x - 2*x^2 + 2*x^3) + (2*x - 2*x^2 - 2*E^(4 - x)*x^2)*Log[x])/x^2,x]","x^2-2 e^{4-x} x+e^{8-2 x}+\frac{e^{x+3}}{x}+\log ^2(x)+\left(2 e^{4-x}-2 x\right) \log (x)","\frac{e^{x+3}+x \left(x-e^{4-x}-\log (x)\right)^2}{x}",1,"E^(8 - 2*x) + E^(3 + x)/x - 2*E^(4 - x)*x + x^2 + (2*E^(4 - x) - 2*x)*Log[x] + Log[x]^2","A",1
3322,1,27,22,0.0052479,"\int \frac{-30+80 x-20 x^2+\left(15-10 x^2\right) \log \left(4 x^2\right)}{2 x^2} \, dx","Integrate[(-30 + 80*x - 20*x^2 + (15 - 10*x^2)*Log[4*x^2])/(2*x^2),x]","-5 x \log \left(4 x^2\right)-\frac{15 \log \left(4 x^2\right)}{2 x}+40 \log (x)","5 \left(2-\left(x+\frac{3}{2 x}-4\right) \log \left(4 x^2\right)\right)",1,"40*Log[x] - (15*Log[4*x^2])/(2*x) - 5*x*Log[4*x^2]","A",1
3323,1,21,18,0.064641,"\int \frac{-2-x+(-6-4 x) \log \left(\frac{3}{x}\right)}{48 x^4+48 x^5+12 x^6} \, dx","Integrate[(-2 - x + (-6 - 4*x)*Log[3/x])/(48*x^4 + 48*x^5 + 12*x^6),x]","\frac{8 \log \left(\frac{1}{x}\right)+\log (6561)}{96 x^3 (x+2)}","\frac{\log \left(\frac{3}{x}\right)}{12 x^3 (x+2)}",1,"(Log[6561] + 8*Log[x^(-1)])/(96*x^3*(2 + x))","A",1
3324,1,24,22,0.0216587,"\int e^{1-5 e^4} \left(3+e^{-1+5 e^4} \left(-18 x+18 x^2\right)\right) \, dx","Integrate[E^(1 - 5*E^4)*(3 + E^(-1 + 5*E^4)*(-18*x + 18*x^2)),x]","3 \left(2 x^3-3 x^2+e^{1-5 e^4} x\right)","3 x \left(x (2 x-3)+e^{1-5 e^4}\right)+1",1,"3*(E^(1 - 5*E^4)*x - 3*x^2 + 2*x^3)","A",1
3325,1,22,19,0.0202932,"\int \left(-24+e^x (-6-6 x)+e^{100+40 x+4 x^2} \left(6+240 x+48 x^2\right)\right) \, dx","Integrate[-24 + E^x*(-6 - 6*x) + E^(100 + 40*x + 4*x^2)*(6 + 240*x + 48*x^2),x]","-6 e^x x+6 e^{4 (x+5)^2} x-24 x","6 \left(-e^x+e^{4 (x+5)^2}-4\right) x",1,"-24*x - 6*E^x*x + 6*E^(4*(5 + x)^2)*x","A",1
3326,1,22,24,0.042033,"\int \frac{\exp \left(-\frac{-e^{5 x^2} \log (4) \log (5)+(1+4 \log (4)) \log (5)}{\log (4)}\right) \left(-2+20 e^{5 x^2} x^2 \log (5)\right)}{x^2} \, dx","Integrate[(-2 + 20*E^(5*x^2)*x^2*Log[5])/(E^((-(E^(5*x^2)*Log[4]*Log[5]) + (1 + 4*Log[4])*Log[5])/Log[4])*x^2),x]","\frac{2\ 5^{e^{5 x^2}-4-\frac{1}{\log (4)}}}{x}","\frac{2\ 5^{e^{5 x^2}-4-\frac{1}{\log (4)}}}{x}+9",1,"(2*5^(-4 + E^(5*x^2) - Log[4]^(-1)))/x","A",1
3327,1,28,24,0.1340004,"\int \frac{-2 e^{-\frac{x}{10+5 x}}+e^{-6-2 x} \left(40+40 x+10 x^2\right)}{20+20 x+5 x^2} \, dx","Integrate[(-2/E^(x/(10 + 5*x)) + E^(-6 - 2*x)*(40 + 40*x + 10*x^2))/(20 + 20*x + 5*x^2),x]","\frac{1}{5} \left(5 e^{-\frac{x}{5 (x+2)}}-5 e^{-2 (x+3)}\right)","e^{\frac{x}{5 (-x-2)}}-e^{-2 x-6}",1,"(5/E^(x/(5*(2 + x))) - 5/E^(2*(3 + x)))/5","A",1
3328,1,64,33,0.0609488,"\int \frac{-20-16 x-15 x^2-4 x^3+e^{3 x} \left(20+24 x+36 x^2+16 x^3\right)+e^{2 x} \left(-60-64 x-88 x^2-40 x^3-4 x^4\right)+e^x \left(60+56 x+67 x^2+26 x^3+2 x^4\right)}{-16+48 e^x-48 e^{2 x}+16 e^{3 x}} \, dx","Integrate[(-20 - 16*x - 15*x^2 - 4*x^3 + E^(3*x)*(20 + 24*x + 36*x^2 + 16*x^3) + E^(2*x)*(-60 - 64*x - 88*x^2 - 40*x^3 - 4*x^4) + E^x*(60 + 56*x + 67*x^2 + 26*x^3 + 2*x^4))/(-16 + 48*E^x - 48*E^(2*x) + 16*E^(3*x)),x]","\frac{1}{16} \left(4 x^4+12 x^3+12 x^2-\frac{-x^4-x^3}{\left(e^x-1\right)^2}+\frac{4 \left(x^4+2 x^3+x^2\right)}{e^x-1}+20 x\right)","x (x+1) \left(\frac{1}{4} \left(\frac{x}{1-e^x}+2 x-2\right)-x\right)^2+x",1,"(20*x + 12*x^2 + 12*x^3 + 4*x^4 - (-x^3 - x^4)/(-1 + E^x)^2 + (4*(x^2 + 2*x^3 + x^4))/(-1 + E^x))/16","A",1
3329,1,44,33,0.2255496,"\int \frac{-32+8 x+e^{2 x} (-2+2 x)+e^x \left(16-10 x+2 x^2\right)+e^{4+8 x-2 x^2+(-4+x) \log (x)} \left(96-344 x+280 x^2-82 x^3+8 x^4+e^{2 x} \left(6-16 x+8 x^2\right)+e^x \left(-48+150 x-98 x^2+16 x^3\right)+\left(-32 x-2 e^{2 x} x+16 x^2-2 x^3+e^x \left(16 x-4 x^2\right)\right) \log (x)\right)}{x^3+3 e^{4+8 x-2 x^2+(-4+x) \log (x)} x^3+3 e^{8+16 x-4 x^2+2 (-4+x) \log (x)} x^3+e^{12+24 x-6 x^2+3 (-4+x) \log (x)} x^3} \, dx","Integrate[(-32 + 8*x + E^(2*x)*(-2 + 2*x) + E^x*(16 - 10*x + 2*x^2) + E^(4 + 8*x - 2*x^2 + (-4 + x)*Log[x])*(96 - 344*x + 280*x^2 - 82*x^3 + 8*x^4 + E^(2*x)*(6 - 16*x + 8*x^2) + E^x*(-48 + 150*x - 98*x^2 + 16*x^3) + (-32*x - 2*E^(2*x)*x + 16*x^2 - 2*x^3 + E^x*(16*x - 4*x^2))*Log[x]))/(x^3 + 3*E^(4 + 8*x - 2*x^2 + (-4 + x)*Log[x])*x^3 + 3*E^(8 + 16*x - 4*x^2 + 2*(-4 + x)*Log[x])*x^3 + E^(12 + 24*x - 6*x^2 + 3*(-4 + x)*Log[x])*x^3),x]","\frac{e^{4 x^2} x^6 \left(x+e^x-4\right)^2}{\left(e^{8 x+4} x^x+e^{2 x^2} x^4\right)^2}","\frac{\left(x+e^x-4\right)^2}{\left(x+x e^{(4-x) (2 x-\log (x))+4}\right)^2}",1,"(E^(4*x^2)*x^6*(-4 + E^x + x)^2)/(E^(2*x^2)*x^4 + E^(4 + 8*x)*x^x)^2","A",1
3330,1,27,26,0.1519843,"\int \frac{\left(e^x \left(1+4 x+4 \log ^2(3)\right)+\log (x)\right) \log ^2\left(e^x \left(1+4 x+4 \log ^2(3)\right)+\log (x)\right)+e^{\frac{x}{\log \left(e^x \left(1+4 x+4 \log ^2(3)\right)+\log (x)\right)}} \left(-1+e^x \left(-5 x-4 x^2-4 x \log ^2(3)\right)+\left(e^x \left(1+4 x+4 \log ^2(3)\right)+\log (x)\right) \log \left(e^x \left(1+4 x+4 \log ^2(3)\right)+\log (x)\right)\right)}{\left(e^x \left(1+4 x+4 \log ^2(3)\right)+\log (x)\right) \log ^2\left(e^x \left(1+4 x+4 \log ^2(3)\right)+\log (x)\right)} \, dx","Integrate[((E^x*(1 + 4*x + 4*Log[3]^2) + Log[x])*Log[E^x*(1 + 4*x + 4*Log[3]^2) + Log[x]]^2 + E^(x/Log[E^x*(1 + 4*x + 4*Log[3]^2) + Log[x]])*(-1 + E^x*(-5*x - 4*x^2 - 4*x*Log[3]^2) + (E^x*(1 + 4*x + 4*Log[3]^2) + Log[x])*Log[E^x*(1 + 4*x + 4*Log[3]^2) + Log[x]]))/((E^x*(1 + 4*x + 4*Log[3]^2) + Log[x])*Log[E^x*(1 + 4*x + 4*Log[3]^2) + Log[x]]^2),x]","x+e^{\frac{x}{\log \left(e^x \left(4 x+1+4 \log ^2(3)\right)+\log (x)\right)}}","x+e^{\frac{x}{\log \left(e^x \left(4 \left(x+\log ^2(3)\right)+1\right)+\log (x)\right)}}",1,"E^(x/Log[E^x*(1 + 4*x + 4*Log[3]^2) + Log[x]]) + x","A",1
3331,1,14,14,0.0051035,"\int \frac{1}{5} e^{\frac{2 e^4 x}{5}} \left(10 x+2 e^4 x^2\right) \, dx","Integrate[(E^((2*E^4*x)/5)*(10*x + 2*E^4*x^2))/5,x]","e^{\frac{2 e^4 x}{5}} x^2","e^{\frac{2 e^4 x}{5}} x^2",1,"E^((2*E^4*x)/5)*x^2","A",1
3332,1,19,24,0.3008638,"\int \frac{-390625 x-19530625 x^2+15625 x^3+\left(781250 x+19531250 x^2\right) \log \left(x+25 x^2\right)}{x^2+25 x^3+\left(1250 x+31250 x^2\right) \log \left(x+25 x^2\right)+(390625+9765625 x) \log ^2\left(x+25 x^2\right)} \, dx","Integrate[(-390625*x - 19530625*x^2 + 15625*x^3 + (781250*x + 19531250*x^2)*Log[x + 25*x^2])/(x^2 + 25*x^3 + (1250*x + 31250*x^2)*Log[x + 25*x^2] + (390625 + 9765625*x)*Log[x + 25*x^2]^2),x]","\frac{625 x^2}{x+625 \log (x (25 x+1))}","\frac{x^2}{\log \left(25 x^2+x\right)+\frac{x}{625}}+\frac{46}{3}",1,"(625*x^2)/(x + 625*Log[x*(1 + 25*x)])","A",1
3333,1,24,23,0.051133,"\int \frac{e^{-x} \left(15-10 x-5 x^2+e^5 (3+x) \left(42-19 x-16 x^2\right)\right)}{3+x} \, dx","Integrate[(15 - 10*x - 5*x^2 + E^5*(3 + x)*(42 - 19*x - 16*x^2))/(E^x*(3 + x)),x]","e^{-x} \left(e^5 \left(16 x^2+51 x+9\right)+5 x\right)","e^{-x} x \left(e^5 \left(\frac{3}{x}+16\right) (x+3)+5\right)",1,"(5*x + E^5*(9 + 51*x + 16*x^2))/E^x","A",1
3334,0,0,26,1.4440519,"\int \frac{\exp \left(\frac{\log ^2(x)+\left(-8 x-4 x^2+2 x \log (3)\right) \log (x) \log (5+x)+\left(16 x^2+16 x^3+4 x^4+\left(-8 x^2-4 x^3\right) \log (3)+x^2 \log ^2(3)\right) \log ^2(5+x)}{x^2 \log ^2(5+x)}\right) \left(-2 x \log ^2(x)+\left(\left(10+2 x+8 x^2+4 x^3-2 x^2 \log (3)\right) \log (x)+(-10-2 x) \log ^2(x)\right) \log (5+x)+\left(-40 x-28 x^2-4 x^3+\left(10 x+2 x^2\right) \log (3)+\left(40 x+8 x^2+\left(-10 x-2 x^2\right) \log (3)\right) \log (x)\right) \log ^2(5+x)+\left(80 x^3+56 x^4+8 x^5+\left(-20 x^3-4 x^4\right) \log (3)\right) \log ^3(5+x)\right)}{\left(5 x^3+x^4\right) \log ^3(5+x)} \, dx","Integrate[(E^((Log[x]^2 + (-8*x - 4*x^2 + 2*x*Log[3])*Log[x]*Log[5 + x] + (16*x^2 + 16*x^3 + 4*x^4 + (-8*x^2 - 4*x^3)*Log[3] + x^2*Log[3]^2)*Log[5 + x]^2)/(x^2*Log[5 + x]^2))*(-2*x*Log[x]^2 + ((10 + 2*x + 8*x^2 + 4*x^3 - 2*x^2*Log[3])*Log[x] + (-10 - 2*x)*Log[x]^2)*Log[5 + x] + (-40*x - 28*x^2 - 4*x^3 + (10*x + 2*x^2)*Log[3] + (40*x + 8*x^2 + (-10*x - 2*x^2)*Log[3])*Log[x])*Log[5 + x]^2 + (80*x^3 + 56*x^4 + 8*x^5 + (-20*x^3 - 4*x^4)*Log[3])*Log[5 + x]^3))/((5*x^3 + x^4)*Log[5 + x]^3),x]","\int \frac{\exp \left(\frac{\log ^2(x)+\left(-8 x-4 x^2+2 x \log (3)\right) \log (x) \log (5+x)+\left(16 x^2+16 x^3+4 x^4+\left(-8 x^2-4 x^3\right) \log (3)+x^2 \log ^2(3)\right) \log ^2(5+x)}{x^2 \log ^2(5+x)}\right) \left(-2 x \log ^2(x)+\left(\left(10+2 x+8 x^2+4 x^3-2 x^2 \log (3)\right) \log (x)+(-10-2 x) \log ^2(x)\right) \log (5+x)+\left(-40 x-28 x^2-4 x^3+\left(10 x+2 x^2\right) \log (3)+\left(40 x+8 x^2+\left(-10 x-2 x^2\right) \log (3)\right) \log (x)\right) \log ^2(5+x)+\left(80 x^3+56 x^4+8 x^5+\left(-20 x^3-4 x^4\right) \log (3)\right) \log ^3(5+x)\right)}{\left(5 x^3+x^4\right) \log ^3(5+x)} \, dx","e^{\left(2 x-\frac{\log (x)}{x \log (x+5)}+4-\log (3)\right)^2}",1,"Integrate[(E^((Log[x]^2 + (-8*x - 4*x^2 + 2*x*Log[3])*Log[x]*Log[5 + x] + (16*x^2 + 16*x^3 + 4*x^4 + (-8*x^2 - 4*x^3)*Log[3] + x^2*Log[3]^2)*Log[5 + x]^2)/(x^2*Log[5 + x]^2))*(-2*x*Log[x]^2 + ((10 + 2*x + 8*x^2 + 4*x^3 - 2*x^2*Log[3])*Log[x] + (-10 - 2*x)*Log[x]^2)*Log[5 + x] + (-40*x - 28*x^2 - 4*x^3 + (10*x + 2*x^2)*Log[3] + (40*x + 8*x^2 + (-10*x - 2*x^2)*Log[3])*Log[x])*Log[5 + x]^2 + (80*x^3 + 56*x^4 + 8*x^5 + (-20*x^3 - 4*x^4)*Log[3])*Log[5 + x]^3))/((5*x^3 + x^4)*Log[5 + x]^3), x]","F",-1
3335,1,22,14,0.0034645,"\int \left(4 x^3+\left(2 x+3 x^2\right) \log (2)\right) \, dx","Integrate[4*x^3 + (2*x + 3*x^2)*Log[2],x]","x^4+\frac{1}{3} x^3 \log (8)+\frac{1}{2} x^2 \log (4)","x^3 \left(x+\left(\frac{1}{x}+1\right) \log (2)\right)",1,"x^4 + (x^2*Log[4])/2 + (x^3*Log[8])/3","A",1
3336,1,32,26,0.0521185,"\int \frac{660+775 x-241 x^2-31 x^3+8 x^4+e^2 \left(24-10 x+x^2\right)+\left(160+120 x-72 x^2+8 x^3\right) \log (4-x)}{660 x-137 x^2-39 x^3+8 x^4+e^2 \left(20-9 x+x^2\right)+\left(160 x-72 x^2+8 x^3\right) \log (4-x)} \, dx","Integrate[(660 + 775*x - 241*x^2 - 31*x^3 + 8*x^4 + E^2*(24 - 10*x + x^2) + (160 + 120*x - 72*x^2 + 8*x^3)*Log[4 - x])/(660*x - 137*x^2 - 39*x^3 + 8*x^4 + E^2*(20 - 9*x + x^2) + (160*x - 72*x^2 + 8*x^3)*Log[4 - x]),x]","\log \left(8 x^2+33 x+8 x \log (4-x)+e^2\right)+x-\log (5-x)","x+\log \left(\frac{x+8 x (x+\log (4-x)+4)+e^2}{x-5}\right)",1,"x - Log[5 - x] + Log[E^2 + 33*x + 8*x^2 + 8*x*Log[4 - x]]","A",1
3337,0,0,30,0.8529271,"\int \frac{-1-4 x+e^{-3+x+\left(4-x+x^2\right) \log (4)} \left(x+\left(-x+2 x^2\right) \log (4)\right)}{x} \, dx","Integrate[(-1 - 4*x + E^(-3 + x + (4 - x + x^2)*Log[4])*(x + (-x + 2*x^2)*Log[4]))/x,x]","\int \frac{-1-4 x+e^{-3+x+\left(4-x+x^2\right) \log (4)} \left(x+\left(-x+2 x^2\right) \log (4)\right)}{x} \, dx","\log \left(\frac{e^{e^{\left(x^2-x+4\right) \log (4)+x-3}-4 (x+4)+4}}{x}\right)",1,"Integrate[(-1 - 4*x + E^(-3 + x + (4 - x + x^2)*Log[4])*(x + (-x + 2*x^2)*Log[4]))/x, x]","F",-1
3338,1,23,21,0.1943429,"\int \frac{-9 x^2+x^2 \log ^2(36)+2 \log (x)-3 \log ^2(x)}{9 x^3-x^3 \log ^2(36)+x \log ^2(x)} \, dx","Integrate[(-9*x^2 + x^2*Log[36]^2 + 2*Log[x] - 3*Log[x]^2)/(9*x^3 - x^3*Log[36]^2 + x*Log[x]^2),x]","\log \left(x^2 \left(\log ^2(36)-9\right)-\log ^2(x)\right)-3 \log (x)","\log \left(\frac{\frac{\log ^2(x)}{x^2}+9-\log ^2(36)}{x}\right)",1,"-3*Log[x] + Log[x^2*(-9 + Log[36]^2) - Log[x]^2]","A",1
3339,1,26,30,0.3839268,"\int \frac{\exp \left(e^{\frac{4 e^6 x^2-x^3+x^4}{-1+x}}+e^{e^{\frac{4 e^6 x^2-x^3+x^4}{-1+x}}} x^2\right) \left(2 x-4 x^2+2 x^3+e^{\frac{4 e^6 x^2-x^3+x^4}{-1+x}} \left(3 x^4-6 x^5+3 x^6+e^6 \left(-8 x^3+4 x^4\right)\right)\right)}{1-2 x+x^2} \, dx","Integrate[(E^(E^((4*E^6*x^2 - x^3 + x^4)/(-1 + x)) + E^E^((4*E^6*x^2 - x^3 + x^4)/(-1 + x))*x^2)*(2*x - 4*x^2 + 2*x^3 + E^((4*E^6*x^2 - x^3 + x^4)/(-1 + x))*(3*x^4 - 6*x^5 + 3*x^6 + E^6*(-8*x^3 + 4*x^4))))/(1 - 2*x + x^2),x]","e^{e^{e^{x^2 \left(x+\frac{4 e^6}{x-1}\right)}} x^2}","e^{e^{e^{x^2 \left(x-\frac{4 e^6}{1-x}\right)}} x^2}+2",1,"E^(E^E^(x^2*((4*E^6)/(-1 + x) + x))*x^2)","A",1
3340,1,32,24,0.1197259,"\int \frac{\left(-2 x^2-2 x^3+\left(18 x+38 x^2+4 x^3\right) \log (9+x) \log (\log (9+x))+\left(18+20 x-34 x^2-4 x^3\right) \log (9+x) \log ^2(\log (9+x))\right) \log \left(\frac{x+x^2+\left(2+x-x^2+\log (x)\right) \log (\log (9+x))}{\log (\log (9+x))}\right)}{\left(9 x^2+10 x^3+x^4\right) \log (9+x) \log (\log (9+x))+\left(18 x+11 x^2-8 x^3-x^4+\left(9 x+x^2\right) \log (x)\right) \log (9+x) \log ^2(\log (9+x))} \, dx","Integrate[((-2*x^2 - 2*x^3 + (18*x + 38*x^2 + 4*x^3)*Log[9 + x]*Log[Log[9 + x]] + (18 + 20*x - 34*x^2 - 4*x^3)*Log[9 + x]*Log[Log[9 + x]]^2)*Log[(x + x^2 + (2 + x - x^2 + Log[x])*Log[Log[9 + x]])/Log[Log[9 + x]]])/((9*x^2 + 10*x^3 + x^4)*Log[9 + x]*Log[Log[9 + x]] + (18*x + 11*x^2 - 8*x^3 - x^4 + (9*x + x^2)*Log[x])*Log[9 + x]*Log[Log[9 + x]]^2),x]","\log ^2\left(\frac{x^2+\left(-x^2+x+\log (x)+2\right) \log (\log (x+9))+x}{\log (\log (x+9))}\right)","\log ^2\left(\log (x)-(x+1) \left(x-\frac{x}{\log (\log (x+9))}-2\right)\right)",1,"Log[(x + x^2 + (2 + x - x^2 + Log[x])*Log[Log[9 + x]])/Log[Log[9 + x]]]^2","A",1
3341,1,48,26,0.0608153,"\int \frac{1800-600 x-550 x^2+100 x^3+50 x^4+\left(600-100 x-100 x^2\right) \log (x)+50 \log ^2(x)+\left(1500-250 x+50 x^2-50 x^3-50 x^4+(550-50 x) \log (x)+50 \log ^2(x)\right) \log \left(x^2\right)+x^3 \log ^2\left(x^2\right)}{x^3 \log ^2\left(x^2\right)} \, dx","Integrate[(1800 - 600*x - 550*x^2 + 100*x^3 + 50*x^4 + (600 - 100*x - 100*x^2)*Log[x] + 50*Log[x]^2 + (1500 - 250*x + 50*x^2 - 50*x^3 - 50*x^4 + (550 - 50*x)*Log[x] + 50*Log[x]^2)*Log[x^2] + x^3*Log[x^2]^2)/(x^3*Log[x^2]^2),x]","\frac{-25 \left(x^2+x-6\right)^2+(x-25) x^2 \log \left(x^2\right)+50 \left(x^2+x-6\right) \log (x)-25 \log ^2(x)}{x^2 \log \left(x^2\right)}","x-\frac{25 \left(x-\frac{-x+\log (x)+6}{x}\right)^2}{\log \left(x^2\right)}",1,"(-25*(-6 + x + x^2)^2 + 50*(-6 + x + x^2)*Log[x] - 25*Log[x]^2 + (-25 + x)*x^2*Log[x^2])/(x^2*Log[x^2])","A",1
3342,1,22,30,0.0341125,"\int \frac{e^x (2-x)-3 x+3 x^5-x \log (4)-x \log (x)}{x^3} \, dx","Integrate[(E^x*(2 - x) - 3*x + 3*x^5 - x*Log[4] - x*Log[x])/x^3,x]","\frac{x^5+4 x-e^x+x \log (4 x)}{x^2}","x^3+\frac{\frac{x (x+4)-e^x+x \log (x)}{x}+\log (4)}{x}",1,"(-E^x + 4*x + x^5 + x*Log[4*x])/x^2","A",1
3343,1,13,12,0.0023303,"\int \frac{230+50 \log (3 x)}{x} \, dx","Integrate[(230 + 50*Log[3*x])/x,x]","25 \log ^2(3 x)+230 \log (x)","(-5 (\log (3 x)+4)-3)^2",1,"230*Log[x] + 25*Log[3*x]^2","A",1
3344,1,21,29,0.0085679,"\int \frac{8+2 x^2+e^x x^2-2 x^3}{2 x^2} \, dx","Integrate[(8 + 2*x^2 + E^x*x^2 - 2*x^3)/(2*x^2),x]","-\frac{x^2}{2}+x+\frac{e^x}{2}-\frac{4}{x}","2 \left(\frac{1}{4} \left(-x^2-2 x+e^x-2\right)+x-\frac{2}{x}+e^4\right)",1,"E^x/2 - 4/x + x - x^2/2","A",1
3345,1,17,15,0.0053811,"\int \frac{-256-16 \log (3)}{4096+640 x+25 x^2+(512+40 x) \log (3)+16 \log ^2(3)} \, dx","Integrate[(-256 - 16*Log[3])/(4096 + 640*x + 25*x^2 + (512 + 40*x)*Log[3] + 16*Log[3]^2),x]","\frac{16 (16+\log (3))}{5 (5 x+64+\log (81))}","\frac{x}{-\frac{5 x}{4}-16-\log (3)}",1,"(16*(16 + Log[3]))/(5*(64 + 5*x + Log[81]))","A",1
3346,1,18,22,0.0231189,"\int e^{3-x-x^2} \left(-6 e^{-3+2 x+x^2}+e^x \left(-6+12 x^2\right)\right) \, dx","Integrate[E^(3 - x - x^2)*(-6*E^(-3 + 2*x + x^2) + E^x*(-6 + 12*x^2)),x]","-6 e^{3-x^2} x-6 e^x","6 e^x \left(-e^{-x^2-x+3} x-1\right)",1,"-6*E^x - 6*E^(3 - x^2)*x","A",1
3347,1,13,19,0.0297497,"\int \frac{2 x^2+e^{e^x+x} x \left(-1-x-e^x x\right)}{x} \, dx","Integrate[(2*x^2 + E^(E^x + x)*x*(-1 - x - E^x*x))/x,x]","x \left(x-e^{x+e^x}\right)","x^2-e^{x+e^x} x+\log (3+\log (4))",1,"x*(-E^(E^x + x) + x)","A",1
3348,1,28,28,0.3830595,"\int \frac{\left(-x^3-25 x^5\right) \log (4)+\left(3 x^3+15 x^5\right) \log (4) \log \left(x+10 x^3+25 x^5\right)+\left(-1-5 x^2\right) \log ^2\left(x+10 x^3+25 x^5\right)+\left(1+5 x^2\right) \log \left(4^{-\frac{x^3}{\log \left(x+10 x^3+25 x^5\right)}} x\right) \log ^2\left(x+10 x^3+25 x^5\right)}{\left(1+5 x^2\right) \log ^2\left(4^{-\frac{x^3}{\log \left(x+10 x^3+25 x^5\right)}} x\right) \log ^2\left(x+10 x^3+25 x^5\right)} \, dx","Integrate[((-x^3 - 25*x^5)*Log[4] + (3*x^3 + 15*x^5)*Log[4]*Log[x + 10*x^3 + 25*x^5] + (-1 - 5*x^2)*Log[x + 10*x^3 + 25*x^5]^2 + (1 + 5*x^2)*Log[x/4^(x^3/Log[x + 10*x^3 + 25*x^5])]*Log[x + 10*x^3 + 25*x^5]^2)/((1 + 5*x^2)*Log[x/4^(x^3/Log[x + 10*x^3 + 25*x^5])]^2*Log[x + 10*x^3 + 25*x^5]^2),x]","\frac{x}{\log \left(x 4^{-\frac{x^3}{\log \left(x \left(5 x^2+1\right)^2\right)}}\right)}","\frac{x}{\log \left(x 4^{-\frac{x^3}{\log \left(x \left(5 x^2+1\right)^2\right)}}\right)}",1,"x/Log[x/4^(x^3/Log[x*(1 + 5*x^2)^2])]","A",1
3349,1,31,31,0.2250853,"\int \frac{e^3 \left(4 x^3+x^4\right)+e^3 \left(4 x^2+x^3\right) \log (4+x)+\left(4 x^3+x^4+\left(4 x^2+x^3\right) \log (4+x)\right) \log (x+\log (4+x))+\exp \left(e^{\frac{\log ^2\left(e^3+\log (x+\log (4+x))\right)}{x}}+\frac{\log ^2\left(e^3+\log (x+\log (4+x))\right)}{x}\right) \left(\left(-10 x-2 x^2\right) \log \left(e^3+\log (x+\log (4+x))\right)+\left(e^3 \left(4 x+x^2\right)+e^3 (4+x) \log (4+x)+\left(4 x+x^2+(4+x) \log (4+x)\right) \log (x+\log (4+x))\right) \log ^2\left(e^3+\log (x+\log (4+x))\right)\right)}{e^3 \left(4 x^3+x^4\right) \log (4)+e^3 \left(4 x^2+x^3\right) \log (4) \log (4+x)+\left(\left(4 x^3+x^4\right) \log (4)+\left(4 x^2+x^3\right) \log (4) \log (4+x)\right) \log (x+\log (4+x))} \, dx","Integrate[(E^3*(4*x^3 + x^4) + E^3*(4*x^2 + x^3)*Log[4 + x] + (4*x^3 + x^4 + (4*x^2 + x^3)*Log[4 + x])*Log[x + Log[4 + x]] + E^(E^(Log[E^3 + Log[x + Log[4 + x]]]^2/x) + Log[E^3 + Log[x + Log[4 + x]]]^2/x)*((-10*x - 2*x^2)*Log[E^3 + Log[x + Log[4 + x]]] + (E^3*(4*x + x^2) + E^3*(4 + x)*Log[4 + x] + (4*x + x^2 + (4 + x)*Log[4 + x])*Log[x + Log[4 + x]])*Log[E^3 + Log[x + Log[4 + x]]]^2))/(E^3*(4*x^3 + x^4)*Log[4] + E^3*(4*x^2 + x^3)*Log[4]*Log[4 + x] + ((4*x^3 + x^4)*Log[4] + (4*x^2 + x^3)*Log[4]*Log[4 + x])*Log[x + Log[4 + x]]),x]","\frac{x-e^{e^{\frac{\log ^2\left(\log (x+\log (x+4))+e^3\right)}{x}}}}{\log (4)}","\frac{x-e^{e^{\frac{\log ^2\left(\log (x+\log (x+4))+e^3\right)}{x}}}}{\log (4)}",1,"(-E^E^(Log[E^3 + Log[x + Log[4 + x]]]^2/x) + x)/Log[4]","A",1
3350,1,19,15,0.0035691,"\int \frac{1}{2} \left(3+7 x+3 x^2+2 x^3+e^2 (1+2 x)\right) \, dx","Integrate[(3 + 7*x + 3*x^2 + 2*x^3 + E^2*(1 + 2*x))/2,x]","\frac{1}{4} x (x+1) \left(x^2+x+2 e^2+6\right)","\frac{1}{4} \left(x^2+x+e^2+3\right)^2",1,"(x*(1 + x)*(6 + 2*E^2 + x + x^2))/4","A",1
3351,1,1283,32,0.8556171,"\int \frac{6 x+2 x^2-25 x^3-81 x^4-63 x^5-19 x^6-2 x^7+\left(6 x+81 x^2+243 x^3+189 x^4+57 x^5+6 x^6\right) \log \left(\frac{e^2}{3 x}\right)+\left(-81 x-243 x^2-189 x^3-57 x^4-6 x^5\right) \log ^2\left(\frac{e^2}{3 x}\right)+\left(27+81 x+63 x^2+19 x^3+2 x^4\right) \log ^3\left(\frac{e^2}{3 x}\right)}{-27 x^3-27 x^4-9 x^5-x^6+\left(81 x^2+81 x^3+27 x^4+3 x^5\right) \log \left(\frac{e^2}{3 x}\right)+\left(-81 x-81 x^2-27 x^3-3 x^4\right) \log ^2\left(\frac{e^2}{3 x}\right)+\left(27+27 x+9 x^2+x^3\right) \log ^3\left(\frac{e^2}{3 x}\right)} \, dx","Integrate[(6*x + 2*x^2 - 25*x^3 - 81*x^4 - 63*x^5 - 19*x^6 - 2*x^7 + (6*x + 81*x^2 + 243*x^3 + 189*x^4 + 57*x^5 + 6*x^6)*Log[E^2/(3*x)] + (-81*x - 243*x^2 - 189*x^3 - 57*x^4 - 6*x^5)*Log[E^2/(3*x)]^2 + (27 + 81*x + 63*x^2 + 19*x^3 + 2*x^4)*Log[E^2/(3*x)]^3)/(-27*x^3 - 27*x^4 - 9*x^5 - x^6 + (81*x^2 + 81*x^3 + 27*x^4 + 3*x^5)*Log[E^2/(3*x)] + (-81*x - 81*x^2 - 27*x^3 - 3*x^4)*Log[E^2/(3*x)]^2 + (27 + 27*x + 9*x^2 + x^3)*Log[E^2/(3*x)]^3),x]","\frac{x \left(2 x^{10}+\log (81) x^9+24 x^9-16 \log ^2(3) x^8+83 \log (3) x^8+96 x^8-20 \log ^3(3) x^7-124 \log ^2(3) x^7+571 \log (3) x^7+64 x^7-4 \log ^4(3) x^6-238 \log ^3(3) x^6+15 \log ^2(3) x^6+1429 \log (3) x^6-562 x^6-56 \log ^4(3) x^5-990 \log ^3(3) x^5+2540 \log ^2(3) x^5-646 \log (3) x^5-1470 x^5-314 \log ^4(3) x^4-1240 \log ^3(3) x^4+7472 \log ^2(3) x^4-8849 \log (3) x^4-508 x^4-888 \log ^4(3) x^3+2400 \log ^3(3) x^3+2964 \log ^2(3) x^3-10515 \log (3) x^3+2780 x^3-1296 \log ^4(3) x^2+8370 \log ^3(3) x^2-15297 \log ^2(3) x^2+6237 \log (3) x^2+4548 x^2-864 \log ^4(3) x+7506 \log ^3(3) x-19188 \log ^2(3) x+14958 \log (3) x+2826 x-2 (x+3)^4 \left(2 x^2+4 x+1\right) \log ^4\left(\frac{1}{x}\right)+2 (x+3)^4 \left(10 x^3+(-1+8 \log (3)) x^2+(-33+16 \log (3)) x+\log (81)-10\right) \log ^3\left(\frac{1}{x}\right)-\left(16 x^8+4 (31+15 \log (3)) x^7+3 \left(-5+238 \log (3)+8 \log ^2(3)\right) x^6+\left(-2540+2970 \log (3)+336 \log ^2(3)\right) x^5+4 \left(-1868+930 \log (3)+471 \log ^2(3)\right) x^4+12 \left(-247-600 \log (3)+444 \log ^2(3)\right) x^3+3 \left(5099-8370 \log (3)+2592 \log ^2(3)\right) x^2+18 \left(1066-1251 \log (3)+288 \log ^2(3)\right) x+162 \left(29-30 \log (3)+6 \log ^2(3)\right)\right) \log ^2\left(\frac{1}{x}\right)+\left(-4 x^9+(-83+32 \log (3)) x^8+\left(-571+248 \log (3)+60 \log ^2(3)\right) x^7+\left(-1429-30 \log (3)+714 \log ^2(3)+16 \log ^3(3)\right) x^6+\left(646-5080 \log (3)+2970 \log ^2(3)+224 \log ^3(3)\right) x^5+\left(8849-14944 \log (3)+3720 \log ^2(3)+1256 \log ^3(3)\right) x^4+3 \left(3505-1976 \log (3)-2400 \log ^2(3)+1184 \log ^3(3)\right) x^3+3 \left(-2079+10198 \log (3)-8370 \log ^2(3)+1728 \log ^3(3)\right) x^2+18 \left(-831+2132 \log (3)-1251 \log ^2(3)+192 \log ^3(3)\right) x+324 \left(-13+29 \log (3)-15 \log ^2(3)+2 \log ^3(3)\right)\right) \log \left(\frac{1}{x}\right)-2 (x+3)^4 \log ^3\left(\frac{1}{3 x}\right) \left(4 x^3+(5+\log (9)) x^2+(-3+\log (81)) x-\left(2 x^2+4 x+1\right) \log \left(\frac{1}{x}\right)+\log (3)-1\right)-6 (x+3)^4 \log ^2\left(\frac{1}{3 x}\right) \left(4 x^4+(-5+\log (729)) x^3+\left(-12+2 \log ^2(3)+\log (27)\right) x^2+\left(10-13 \log (3)+4 \log ^2(3)\right) x+\left(2 x^2+4 x+1\right) \log ^2\left(\frac{1}{x}\right)-\left(6 x^3+(3+\log (81)) x^2+(-13+8 \log (3)) x+\log (9)-4\right) \log \left(\frac{1}{x}\right)+(-2+\log (3))^2\right)-3 \log \left(\frac{1}{3 x}\right) \left((-9+14 \log (3)) x^8+\left(-89+138 \log (3)+16 \log ^2(3)\right) x^7+\left(-231+355 \log (3)+194 \log ^2(3)+4 \log ^3(3)\right) x^6+\left(330-524 \log (3)+842 \log ^2(3)+56 \log ^3(3)\right) x^5+\left(2187-3380 \log (3)+1270 \log ^2(3)+314 \log ^3(3)\right) x^4+\left(1601-2414 \log (3)-1140 \log ^2(3)+888 \log ^3(3)\right) x^3+\left(-4095+6395 \log (3)-5562 \log ^2(3)+1296 \log ^3(3)\right) x^2+6 \left(-1005+1528 \log (3)-873 \log ^2(3)+144 \log ^3(3)\right) x-2 (x+3)^4 \left(2 x^2+4 x+1\right) \log ^3\left(\frac{1}{x}\right)+2 (x+3)^4 \left(8 x^3+(1+\log (729)) x^2+(-23+12 \log (3)) x+\log (27)-7\right) \log ^2\left(\frac{1}{x}\right)-\left(14 x^8+2 (69+16 \log (3)) x^7+\left(355+388 \log (3)+12 \log ^2(3)\right) x^6+4 \left(-131+421 \log (3)+42 \log ^2(3)\right) x^5+\left(-3380+2540 \log (3)+942 \log ^2(3)\right) x^4+\left(-2414-2280 \log (3)+2664 \log ^2(3)\right) x^3+\left(6395-11124 \log (3)+3888 \log ^2(3)\right) x^2+12 \left(764-873 \log (3)+216 \log ^2(3)\right) x+162 \left(14-14 \log (3)+3 \log ^2(3)\right)\right) \log \left(\frac{1}{x}\right)+162 \left(-10+14 \log (3)-7 \log ^2(3)+\log ^3(3)\right)\right)-162 \log ^4(3)+1620 \log ^3(3)-4698 \log ^2(3)+4212 \log (3)+648\right)}{2 (x+1)^3 (x+3)^4 \left(x-\log \left(\frac{1}{x}\right)+\log (3)-2\right)^2}","x^2+\frac{x^2}{(x+3)^2 \left(\log \left(\frac{e^2}{3 x}\right)-x\right)^2}+x+10",1,"(x*(648 + 2826*x + 4548*x^2 + 2780*x^3 - 508*x^4 - 1470*x^5 - 562*x^6 + 64*x^7 + 96*x^8 + 24*x^9 + 2*x^10 + 4212*Log[3] + 14958*x*Log[3] + 6237*x^2*Log[3] - 10515*x^3*Log[3] - 8849*x^4*Log[3] - 646*x^5*Log[3] + 1429*x^6*Log[3] + 571*x^7*Log[3] + 83*x^8*Log[3] - 4698*Log[3]^2 - 19188*x*Log[3]^2 - 15297*x^2*Log[3]^2 + 2964*x^3*Log[3]^2 + 7472*x^4*Log[3]^2 + 2540*x^5*Log[3]^2 + 15*x^6*Log[3]^2 - 124*x^7*Log[3]^2 - 16*x^8*Log[3]^2 + 1620*Log[3]^3 + 7506*x*Log[3]^3 + 8370*x^2*Log[3]^3 + 2400*x^3*Log[3]^3 - 1240*x^4*Log[3]^3 - 990*x^5*Log[3]^3 - 238*x^6*Log[3]^3 - 20*x^7*Log[3]^3 - 162*Log[3]^4 - 864*x*Log[3]^4 - 1296*x^2*Log[3]^4 - 888*x^3*Log[3]^4 - 314*x^4*Log[3]^4 - 56*x^5*Log[3]^4 - 4*x^6*Log[3]^4 + x^9*Log[81] + (-4*x^9 + x^8*(-83 + 32*Log[3]) + x^7*(-571 + 248*Log[3] + 60*Log[3]^2) + 324*(-13 + 29*Log[3] - 15*Log[3]^2 + 2*Log[3]^3) + x^6*(-1429 - 30*Log[3] + 714*Log[3]^2 + 16*Log[3]^3) + 18*x*(-831 + 2132*Log[3] - 1251*Log[3]^2 + 192*Log[3]^3) + x^5*(646 - 5080*Log[3] + 2970*Log[3]^2 + 224*Log[3]^3) + 3*x^3*(3505 - 1976*Log[3] - 2400*Log[3]^2 + 1184*Log[3]^3) + x^4*(8849 - 14944*Log[3] + 3720*Log[3]^2 + 1256*Log[3]^3) + 3*x^2*(-2079 + 10198*Log[3] - 8370*Log[3]^2 + 1728*Log[3]^3))*Log[x^(-1)] - (16*x^8 + 4*x^7*(31 + 15*Log[3]) + 162*(29 - 30*Log[3] + 6*Log[3]^2) + 3*x^6*(-5 + 238*Log[3] + 8*Log[3]^2) + 18*x*(1066 - 1251*Log[3] + 288*Log[3]^2) + x^5*(-2540 + 2970*Log[3] + 336*Log[3]^2) + 12*x^3*(-247 - 600*Log[3] + 444*Log[3]^2) + 4*x^4*(-1868 + 930*Log[3] + 471*Log[3]^2) + 3*x^2*(5099 - 8370*Log[3] + 2592*Log[3]^2))*Log[x^(-1)]^2 + 2*(3 + x)^4*(-10 + 10*x^3 + x^2*(-1 + 8*Log[3]) + x*(-33 + 16*Log[3]) + Log[81])*Log[x^(-1)]^3 - 2*(3 + x)^4*(1 + 4*x + 2*x^2)*Log[x^(-1)]^4 - 2*(3 + x)^4*Log[1/(3*x)]^3*(-1 + 4*x^3 + Log[3] + x^2*(5 + Log[9]) + x*(-3 + Log[81]) - (1 + 4*x + 2*x^2)*Log[x^(-1)]) - 6*(3 + x)^4*Log[1/(3*x)]^2*(4*x^4 + (-2 + Log[3])^2 + x*(10 - 13*Log[3] + 4*Log[3]^2) + x^2*(-12 + 2*Log[3]^2 + Log[27]) + x^3*(-5 + Log[729]) - (-4 + 6*x^3 + x*(-13 + 8*Log[3]) + Log[9] + x^2*(3 + Log[81]))*Log[x^(-1)] + (1 + 4*x + 2*x^2)*Log[x^(-1)]^2) - 3*Log[1/(3*x)]*(x^8*(-9 + 14*Log[3]) + x^7*(-89 + 138*Log[3] + 16*Log[3]^2) + 162*(-10 + 14*Log[3] - 7*Log[3]^2 + Log[3]^3) + x^6*(-231 + 355*Log[3] + 194*Log[3]^2 + 4*Log[3]^3) + x^5*(330 - 524*Log[3] + 842*Log[3]^2 + 56*Log[3]^3) + 6*x*(-1005 + 1528*Log[3] - 873*Log[3]^2 + 144*Log[3]^3) + x^4*(2187 - 3380*Log[3] + 1270*Log[3]^2 + 314*Log[3]^3) + x^3*(1601 - 2414*Log[3] - 1140*Log[3]^2 + 888*Log[3]^3) + x^2*(-4095 + 6395*Log[3] - 5562*Log[3]^2 + 1296*Log[3]^3) - (14*x^8 + 2*x^7*(69 + 16*Log[3]) + 162*(14 - 14*Log[3] + 3*Log[3]^2) + x^6*(355 + 388*Log[3] + 12*Log[3]^2) + 4*x^5*(-131 + 421*Log[3] + 42*Log[3]^2) + 12*x*(764 - 873*Log[3] + 216*Log[3]^2) + x^4*(-3380 + 2540*Log[3] + 942*Log[3]^2) + x^3*(-2414 - 2280*Log[3] + 2664*Log[3]^2) + x^2*(6395 - 11124*Log[3] + 3888*Log[3]^2))*Log[x^(-1)] + 2*(3 + x)^4*(-7 + 8*x^3 + x*(-23 + 12*Log[3]) + Log[27] + x^2*(1 + Log[729]))*Log[x^(-1)]^2 - 2*(3 + x)^4*(1 + 4*x + 2*x^2)*Log[x^(-1)]^3)))/(2*(1 + x)^3*(3 + x)^4*(-2 + x + Log[3] - Log[x^(-1)])^2)","B",0
3352,1,25,29,0.0013848,"\int \frac{1}{3} \left(-7-e+3 e^2+6 x-9 x^2\right) \, dx","Integrate[(-7 - E + 3*E^2 + 6*x - 9*x^2)/3,x]","-x^3+x^2+e^2 x-\frac{e x}{3}-\frac{7 x}{3}","2 e^4-x \left(x^2-x+\frac{4+e}{3}-e^2+1\right)",1,"(-7*x)/3 - (E*x)/3 + E^2*x + x^2 - x^3","A",1
3353,1,12,17,0.0282404,"\int \frac{-5+x-x \log (x)}{\left(-5 x+x^2\right) \log (x)} \, dx","Integrate[(-5 + x - x*Log[x])/((-5*x + x^2)*Log[x]),x]","\log (\log (x))-\log (5-x)","\log \left(\frac{5 \log (2) \log (x)}{6 e (x-5)}\right)",1,"-Log[5 - x] + Log[Log[x]]","A",1
3354,1,21,21,0.5580819,"\int \frac{e^{16/625}+e^{\frac{2 \left(-3-x+e^{16/625} (9+x)\right)}{e^{16/625}}} \left(-2 x+e^{16/625} (1+2 x)\right)}{e^{16/625}} \, dx","Integrate[(E^(16/625) + E^((2*(-3 - x + E^(16/625)*(9 + x)))/E^(16/625))*(-2*x + E^(16/625)*(1 + 2*x)))/E^(16/625),x]","e^{2 \left(x-\frac{x+3}{e^{16/625}}+9\right)} x+x","e^{2 x-\frac{2 (x+3)}{e^{16/625}}+18} x+x",1,"x + E^(2*(9 + x - (3 + x)/E^(16/625)))*x","A",1
3355,1,24,22,0.0025754,"\int \frac{-486-243 x-18 x^3-18 x^4-3 x^5}{x^3} \, dx","Integrate[(-486 - 243*x - 18*x^3 - 18*x^4 - 3*x^5)/x^3,x]","-x^3-9 x^2+\frac{243}{x^2}-18 x+\frac{243}{x}","(3-x) \left(-x-\frac{9}{x}-6\right)^2+5 e",1,"243/x^2 + 243/x - 18*x - 9*x^2 - x^3","A",1
3356,1,49,35,0.1352036,"\int \frac{-1576 x^4+36 x^6+e^8 \left(-300 x^2-80 x^3-4 x^4\right)+e^4 \left(1600 x^3+280 x^4\right)}{620944 x^4+370360 x^5+83593 x^6+8460 x^7+324 x^8+e^{16} \left(2500+2000 x+600 x^2+80 x^3+4 x^4\right)+e^{12} \left(-40000 x-30000 x^2-8400 x^3-1040 x^4-48 x^5\right)+e^8 \left(238800 x^2+167020 x^3+43552 x^4+5020 x^5+216 x^6\right)+e^4 \left(-630400 x^3-408640 x^4-99112 x^5-10680 x^6-432 x^7\right)} \, dx","Integrate[(-1576*x^4 + 36*x^6 + E^8*(-300*x^2 - 80*x^3 - 4*x^4) + E^4*(1600*x^3 + 280*x^4))/(620944*x^4 + 370360*x^5 + 83593*x^6 + 8460*x^7 + 324*x^8 + E^16*(2500 + 2000*x + 600*x^2 + 80*x^3 + 4*x^4) + E^12*(-40000*x - 30000*x^2 - 8400*x^3 - 1040*x^4 - 48*x^5) + E^8*(238800*x^2 + 167020*x^3 + 43552*x^4 + 5020*x^5 + 216*x^6) + E^4*(-630400*x^3 - 408640*x^4 - 99112*x^5 - 10680*x^6 - 432*x^7)),x]","-\frac{4 x^3}{2 \left(18 x^2+235 x+788\right) x^2-8 e^4 \left(3 x^2+35 x+100\right) x+4 e^8 (x+5)^2}","\frac{x}{-\left(\frac{(x+5) \left(4 x-e^4\right)}{x}-x\right)^2+\frac{5 x}{2}+6}",1,"(-4*x^3)/(4*E^8*(5 + x)^2 - 8*E^4*x*(100 + 35*x + 3*x^2) + 2*x^2*(788 + 235*x + 18*x^2))","A",1
3357,1,39,24,0.4103154,"\int \frac{e^{-\frac{e^{2 x}}{-25+5 x}} \left(e^{2 x} (143+e (11-2 x)-26 x)+e^{\frac{e^{2 x}}{-25+5 x}} \left(250 x-100 x^2+10 x^3\right)\right)}{125-50 x+5 x^2} \, dx","Integrate[(E^(2*x)*(143 + E*(11 - 2*x) - 26*x) + E^(E^(2*x)/(-25 + 5*x))*(250*x - 100*x^2 + 10*x^3))/(E^(E^(2*x)/(-25 + 5*x))*(125 - 50*x + 5*x^2)),x]","x^2+e^{\frac{e^{2 x}}{25-5 x}+1}+13 e^{\frac{e^{2 x}}{25-5 x}}-25","x^2+(13+e) e^{-\frac{e^{2 x}}{5 (x-5)}}",1,"-25 + E^(1 + E^(2*x)/(25 - 5*x)) + 13*E^(E^(2*x)/(25 - 5*x)) + x^2","A",1
3358,1,27,31,0.0058669,"\int \frac{1}{256} \left(e^5 (3125-1250 x)-6250 x+1875 x^2\right) \, dx","Integrate[(E^5*(3125 - 1250*x) - 6250*x + 1875*x^2)/256,x]","\frac{625}{256} \left(x^3-e^5 x^2-5 x^2+5 e^5 x\right)","\frac{625}{256} \left(x-e^5\right) \left(x-\frac{x^2-x+5}{x}\right) x^2+3",1,"(625*(5*E^5*x - 5*x^2 - E^5*x^2 + x^3))/256","A",1
3359,1,31,30,2.2043216,"\int \left(-1+\exp \left(36+e^{-16+24 x}+36 x+21 x^2+6 x^3+x^4+e^{-8+12 x} \left(-12-6 x-2 x^2\right)\right) \left(36+24 e^{-16+24 x}+42 x+18 x^2+4 x^3+e^{-8+12 x} \left(-150-76 x-24 x^2\right)\right)\right) \, dx","Integrate[-1 + E^(36 + E^(-16 + 24*x) + 36*x + 21*x^2 + 6*x^3 + x^4 + E^(-8 + 12*x)*(-12 - 6*x - 2*x^2))*(36 + 24*E^(-16 + 24*x) + 42*x + 18*x^2 + 4*x^3 + E^(-8 + 12*x)*(-150 - 76*x - 24*x^2)),x]","e^{\frac{\left(e^{12 x}-e^8 \left(x^2+3 x+6\right)\right)^2}{e^{16}}}-x","e^{\left(x^2+x-e^{2 (6 x-4)}+2 (x+3)\right)^2}-x+1",1,"E^((E^(12*x) - E^8*(6 + 3*x + x^2))^2/E^16) - x","A",1
3360,1,38,26,0.4003166,"\int \frac{120-29 x+e^2 x+(70-10 x) \log (x)+10 \log ^2(x)}{80 x-39 x^2+e^2 x^2+5 x^3+\left(40 x-10 x^2\right) \log (x)+5 x \log ^2(x)} \, dx","Integrate[(120 - 29*x + E^2*x + (70 - 10*x)*Log[x] + 10*Log[x]^2)/(80*x - 39*x^2 + E^2*x^2 + 5*x^3 + (40*x - 10*x^2)*Log[x] + 5*x*Log[x]^2),x]","2 \log (x)-\log \left(5 x^2+e^2 x-39 x+5 \log ^2(x)-10 x \log (x)+40 \log (x)+80\right)","\log \left(\frac{x}{\frac{x+5 (x-\log (x)-4)^2}{x}+e^2}\right)",1,"2*Log[x] - Log[80 - 39*x + E^2*x + 5*x^2 + 40*Log[x] - 10*x*Log[x] + 5*Log[x]^2]","A",1
3361,1,20,20,0.021715,"\int \frac{-4096 x-64 x^3+\left(-256 x+60 x^3+x^5\right) \log \left(-4+x^2\right)+\left(4096 x+\left(256 x-64 x^3\right) \log \left(-4+x^2\right)\right) \log \left(\log \left(-4+x^2\right)\right)}{\left(-4096+1024 x^2\right) \log \left(-4+x^2\right)} \, dx","Integrate[(-4096*x - 64*x^3 + (-256*x + 60*x^3 + x^5)*Log[-4 + x^2] + (4096*x + (256*x - 64*x^3)*Log[-4 + x^2])*Log[Log[-4 + x^2]])/((-4096 + 1024*x^2)*Log[-4 + x^2]),x]","\frac{\left(x^2-64 \log \left(\log \left(x^2-4\right)\right)+64\right)^2}{4096}","\left(\frac{x^2}{64}-\log \left(\log \left(x^2-4\right)\right)+1\right)^2",1,"(64 + x^2 - 64*Log[Log[-4 + x^2]])^2/4096","A",1
3362,1,31,25,0.2426525,"\int \frac{1728 x^2+864 e x^2-864 x^3+e^{2 x} \left(12 x^2+12 x^3-6 x^4+e \left(6 x^2+6 x^3\right)\right)+e^x \left(288 x^2+72 x^3-72 x^4+e \left(144 x^2+72 x^3\right)\right)+\left(e^x \left(216 x+72 e x-72 x^2\right)+e^{2 x} \left(18 x+6 e x-6 x^2\right)\right) \log ^2(3+e-x)+\left(-432 x-144 e x+144 x^2+e^x \left(-36 x-12 e x+12 x^2\right)\right) \log (x)+\left(-144 x-72 e x+72 x^2+e^x \left(-12 x-12 x^2+6 x^3+e \left(-6 x-6 x^2\right)\right)\right) \log ^2(x)+(36+12 e-12 x) \log ^3(x)+\log (3+e-x) \left(1728 x+864 e x-864 x^2+e^{2 x} \left(12 x+30 x^2-12 x^3+e \left(6 x+12 x^2\right)\right)+e^x \left(288 x+288 x^2-144 x^3+e \left(144 x+144 x^2\right)\right)+\left(-432-144 e+144 x+e^x (-36-12 e+12 x)\right) \log (x)+e^x \left(-18 x-6 e x+6 x^2\right) \log ^2(x)\right)}{3 x+e x-x^2} \, dx","Integrate[(1728*x^2 + 864*E*x^2 - 864*x^3 + E^(2*x)*(12*x^2 + 12*x^3 - 6*x^4 + E*(6*x^2 + 6*x^3)) + E^x*(288*x^2 + 72*x^3 - 72*x^4 + E*(144*x^2 + 72*x^3)) + (E^x*(216*x + 72*E*x - 72*x^2) + E^(2*x)*(18*x + 6*E*x - 6*x^2))*Log[3 + E - x]^2 + (-432*x - 144*E*x + 144*x^2 + E^x*(-36*x - 12*E*x + 12*x^2))*Log[x] + (-144*x - 72*E*x + 72*x^2 + E^x*(-12*x - 12*x^2 + 6*x^3 + E*(-6*x - 6*x^2)))*Log[x]^2 + (36 + 12*E - 12*x)*Log[x]^3 + Log[3 + E - x]*(1728*x + 864*E*x - 864*x^2 + E^(2*x)*(12*x + 30*x^2 - 12*x^3 + E*(6*x + 12*x^2)) + E^x*(288*x + 288*x^2 - 144*x^3 + E*(144*x + 144*x^2)) + (-432 - 144*E + 144*x + E^x*(-36 - 12*E + 12*x))*Log[x] + E^x*(-18*x - 6*E*x + 6*x^2)*Log[x]^2))/(3*x + E*x - x^2),x]","3 \left(\left(e^x+12\right) x-\log ^2(x)+\left(e^x+12\right) \log (-x+e+3)\right)^2","3 \left(\log ^2(x)-\left(e^x+12\right) (x+\log (-x+e+3))\right)^2",1,"3*((12 + E^x)*x + (12 + E^x)*Log[3 + E - x] - Log[x]^2)^2","A",1
3363,1,24,18,0.0165782,"\int \frac{3+2 x^2+(1-4 x) \log (4)+2 \log ^2(4)}{x^2-2 x \log (4)+\log ^2(4)} \, dx","Integrate[(3 + 2*x^2 + (1 - 4*x)*Log[4] + 2*Log[4]^2)/(x^2 - 2*x*Log[4] + Log[4]^2),x]","2 (x-\log (4))+\frac{-3-\log (4)}{x-\log (4)}","2 x+\frac{-x-3}{x-\log (4)}",1,"(-3 - Log[4])/(x - Log[4]) + 2*(x - Log[4])","A",1
3364,1,81,22,0.5792008,"\int \frac{\exp \left(\frac{2 \left(-10+\left(13 x+4 x^2\right) \log (4)\right)}{x \log (4)}\right) \left(20+8 x^2 \log (4)\right)+e^{\frac{-10+\left(13 x+4 x^2\right) \log (4)}{x \log (4)}} \left(100+40 x^2 \log (4)\right)}{x^2 \log (4)} \, dx","Integrate[(E^((2*(-10 + (13*x + 4*x^2)*Log[4]))/(x*Log[4]))*(20 + 8*x^2*Log[4]) + E^((-10 + (13*x + 4*x^2)*Log[4])/(x*Log[4]))*(100 + 40*x^2*Log[4]))/(x^2*Log[4]),x]","\frac{\int \frac{\left(8 x^2 \log (4)+20\right) \exp \left(\frac{2 \left(\left(4 x^2+13 x\right) \log (4)-10\right)}{x \log (4)}\right)+e^{\frac{\left(4 x^2+13 x\right) \log (4)-10}{x \log (4)}} \left(40 x^2 \log (4)+100\right)}{x^2} \, dx}{\log (4)}","\left(e^{4 (x+1)-\frac{10}{x \log (4)}+9}+5\right)^2",1,"Integrate[(E^((2*(-10 + (13*x + 4*x^2)*Log[4]))/(x*Log[4]))*(20 + 8*x^2*Log[4]) + E^((-10 + (13*x + 4*x^2)*Log[4])/(x*Log[4]))*(100 + 40*x^2*Log[4]))/x^2, x]/Log[4]","F",1
3365,0,0,26,1.1310414,"\int \frac{-4 x^3+e^{\frac{2 x+4 \log (3)}{x^2}} \left(30 x-6 x^2+x^3+(120-24 x) \log (3)\right)+\left(-12 x^3+3 e^{\frac{2 x+4 \log (3)}{x^2}} x^3\right) \log \left(-4+e^{\frac{2 x+4 \log (3)}{x^2}}\right)}{-12 x^3+3 e^{\frac{2 x+4 \log (3)}{x^2}} x^3} \, dx","Integrate[(-4*x^3 + E^((2*x + 4*Log[3])/x^2)*(30*x - 6*x^2 + x^3 + (120 - 24*x)*Log[3]) + (-12*x^3 + 3*E^((2*x + 4*Log[3])/x^2)*x^3)*Log[-4 + E^((2*x + 4*Log[3])/x^2)])/(-12*x^3 + 3*E^((2*x + 4*Log[3])/x^2)*x^3),x]","\int \frac{-4 x^3+e^{\frac{2 x+4 \log (3)}{x^2}} \left(30 x-6 x^2+x^3+(120-24 x) \log (3)\right)+\left(-12 x^3+3 e^{\frac{2 x+4 \log (3)}{x^2}} x^3\right) \log \left(-4+e^{\frac{2 x+4 \log (3)}{x^2}}\right)}{-12 x^3+3 e^{\frac{2 x+4 \log (3)}{x^2}} x^3} \, dx","(x-5) \left(\log \left(e^{\frac{\frac{4 \log (3)}{x}+2}{x}}-4\right)+\frac{1}{3}\right)",1,"Integrate[(-4*x^3 + E^((2*x + 4*Log[3])/x^2)*(30*x - 6*x^2 + x^3 + (120 - 24*x)*Log[3]) + (-12*x^3 + 3*E^((2*x + 4*Log[3])/x^2)*x^3)*Log[-4 + E^((2*x + 4*Log[3])/x^2)])/(-12*x^3 + 3*E^((2*x + 4*Log[3])/x^2)*x^3), x]","F",-1
3366,1,23,21,0.0268013,"\int \frac{e^{200+40 x+2 x^2-2 x^3} \left(-2+\left(40 x+4 x^2-6 x^3\right) \log (x) \log (\log (x))\right)}{x \log (x) \log ^3(\log (x))} \, dx","Integrate[(E^(200 + 40*x + 2*x^2 - 2*x^3)*(-2 + (40*x + 4*x^2 - 6*x^3)*Log[x]*Log[Log[x]]))/(x*Log[x]*Log[Log[x]]^3),x]","\frac{e^{-2 x^3+2 x^2+40 x+200}}{\log ^2(\log (x))}","\frac{e^{2 (x+10)^2-2 x^3}}{\log ^2(\log (x))}",1,"E^(200 + 40*x + 2*x^2 - 2*x^3)/Log[Log[x]]^2","A",1
3367,1,23,30,0.0182139,"\int \frac{160 x^2+6 x^3-80 x^4+10 x^6+e^2 \left(240-120 x^2+15 x^4\right)}{80 x^2-40 x^4+5 x^6} \, dx","Integrate[(160*x^2 + 6*x^3 - 80*x^4 + 10*x^6 + E^2*(240 - 120*x^2 + 15*x^4))/(80*x^2 - 40*x^4 + 5*x^6),x]","-\frac{3}{5 \left(x^2-4\right)}+2 x-\frac{3 e^2}{x}","\frac{x^2-3 \left(x+\frac{1}{5 \left(x-\frac{4}{x}\right)}+e^2\right)}{x}+x",1,"(-3*E^2)/x + 2*x - 3/(5*(-4 + x^2))","A",1
3368,1,17,19,0.214956,"\int \frac{-32 x^7+\left(x^2\right)^x \left(32 x^7-16 x^8-8 x^8 \log \left(x^2\right)\right)+32 x^7 \log (\log (4))}{-1+\left(x^2\right)^{3 x}+3 \log (\log (4))-3 \log ^2(\log (4))+\log ^3(\log (4))+\left(x^2\right)^{2 x} (-3+3 \log (\log (4)))+\left(x^2\right)^x \left(3-6 \log (\log (4))+3 \log ^2(\log (4))\right)} \, dx","Integrate[(-32*x^7 + (x^2)^x*(32*x^7 - 16*x^8 - 8*x^8*Log[x^2]) + 32*x^7*Log[Log[4]])/(-1 + (x^2)^(3*x) + 3*Log[Log[4]] - 3*Log[Log[4]]^2 + Log[Log[4]]^3 + (x^2)^(2*x)*(-3 + 3*Log[Log[4]]) + (x^2)^x*(3 - 6*Log[Log[4]] + 3*Log[Log[4]]^2)),x]","\frac{4 x^8}{\left(\left(x^2\right)^x-1+\log (\log (4))\right)^2}","\frac{4 x^8}{\left(\left(x^2\right)^x-1+\log (\log (4))\right)^2}+1",1,"(4*x^8)/(-1 + (x^2)^x + Log[Log[4]])^2","A",1
3369,1,21,25,0.1628827,"\int \frac{1}{25} e^{e^x+\frac{1}{25} \left(-100+10 x^2+x^3\right)} \left(25 e^x+20 x+3 x^2\right) \, dx","Integrate[(E^(E^x + (-100 + 10*x^2 + x^3)/25)*(25*E^x + 20*x + 3*x^2))/25,x]","e^{\frac{x^3}{25}+\frac{2 x^2}{5}+e^x-4}","e^{\frac{\left(\frac{x^2}{5}+x\right)^2}{x}+e^x-x-4}",1,"E^(-4 + E^x + (2*x^2)/5 + x^3/25)","A",1
3370,1,28,25,0.1715896,"\int \frac{e^{8-x} \left(e^4 (-3-x)-x^2-x^3+\left(-2 x-x^2\right) \log (2)\right)}{5 x^4} \, dx","Integrate[(E^(8 - x)*(E^4*(-3 - x) - x^2 - x^3 + (-2*x - x^2)*Log[2]))/(5*x^4),x]","\frac{e^{8-x} \left(x (2 x+\log (4))+2 e^4\right)}{10 x^3}","\frac{e^{8-x} \left(x+\frac{e^4}{x}+\log (2)\right)}{5 x^2}",1,"(E^(8 - x)*(2*E^4 + x*(2*x + Log[4])))/(10*x^3)","A",1
3371,1,14,17,0.2296727,"\int \frac{e^{\frac{x^2}{1+x+x^2}} \left(2 x+x^2\right)}{1+2 x+3 x^2+2 x^3+x^4} \, dx","Integrate[(E^(x^2/(1 + x + x^2))*(2*x + x^2))/(1 + 2*x + 3*x^2 + 2*x^3 + x^4),x]","e^{\frac{x^2}{x^2+x+1}}","e^{\frac{x}{\frac{x^2+x}{x^2}+x}}",1,"E^(x^2/(1 + x + x^2))","A",1
3372,1,24,32,0.1358929,"\int \frac{e^{-x} \left(124-150 e+330 x+(14+70 e-154 x) \log \left(\frac{1}{5} (-2-10 e+22 x)\right)\right)}{1+5 e-11 x} \, dx","Integrate[(124 - 150*E + 330*x + (14 + 70*E - 154*x)*Log[(-2 - 10*E + 22*x)/5])/(E^x*(1 + 5*E - 11*x)),x]","2 e^{-x} \left(15-7 \log \left(-\frac{2}{5} (-11 x+5 e+1)\right)\right)","2 e^{-x} \left(7 \left(2-\log \left(2 \left(\frac{x-1}{5}+2 x-e\right)\right)\right)+1\right)",1,"(2*(15 - 7*Log[(-2*(1 + 5*E - 11*x))/5]))/E^x","A",1
3373,1,27,30,0.2891498,"\int \frac{10+15 x^3+e^x \left(10 x+5 x^2\right)+5 \log \left(\frac{e^{9+e^x (-1-x)-x^3}}{x^2}\right)}{\log ^2\left(\frac{e^{9+e^x (-1-x)-x^3}}{x^2}\right)} \, dx","Integrate[(10 + 15*x^3 + E^x*(10*x + 5*x^2) + 5*Log[E^(9 + E^x*(-1 - x) - x^3)/x^2])/Log[E^(9 + E^x*(-1 - x) - x^3)/x^2]^2,x]","\frac{5 x}{\log \left(\frac{e^{-x^3-e^x (x+1)+9}}{x^2}\right)}","\frac{5 x}{\log \left(\frac{e^{-x^3-e^x x-e^x+9}}{x^2}\right)}",1,"(5*x)/Log[E^(9 - x^3 - E^x*(1 + x))/x^2]","A",1
3374,1,29,33,0.1194255,"\int \frac{390625 x-1562500 x^2-100000000 x^4+400000000 x^5+e^{8 e} \left(-x^4+4 x^5\right)+e^{6 e} \left(-400 x^4+1600 x^5\right)+e^{4 e} \left(-60000 x^4+240000 x^5\right)+e^{2 e} \left(-4000000 x^4+16000000 x^5\right)+\left(781250 x-4687500 x^2-500000000 x^4+2400000000 x^5+e^{8 e} \left(-5 x^4+24 x^5\right)+e^{6 e} \left(-2000 x^4+9600 x^5\right)+e^{4 e} \left(-300000 x^4+1440000 x^5\right)+e^{2 e} \left(-20000000 x^4+96000000 x^5\right)\right) \log (x)}{390625} \, dx","Integrate[(390625*x - 1562500*x^2 - 100000000*x^4 + 400000000*x^5 + E^(8*E)*(-x^4 + 4*x^5) + E^(6*E)*(-400*x^4 + 1600*x^5) + E^(4*E)*(-60000*x^4 + 240000*x^5) + E^(2*E)*(-4000000*x^4 + 16000000*x^5) + (781250*x - 4687500*x^2 - 500000000*x^4 + 2400000000*x^5 + E^(8*E)*(-5*x^4 + 24*x^5) + E^(6*E)*(-2000*x^4 + 9600*x^5) + E^(4*E)*(-300000*x^4 + 1440000*x^5) + E^(2*E)*(-20000000*x^4 + 96000000*x^5))*Log[x])/390625,x]","\frac{x^2 (4 x-1) \left(\left(100+e^{2 e}\right)^4 x^3-390625\right) \log (x)}{390625}","\left(4 x^2-x\right) \left(\left(4+\frac{e^{2 e}}{25}\right)^4 x^4-x\right) \log (x)",1,"(x^2*(-1 + 4*x)*(-390625 + (100 + E^(2*E))^4*x^3)*Log[x])/390625","A",1
3375,1,41,34,0.2323155,"\int \frac{\left(-2 x^3+10 x^4\right) \log ^2\left(\frac{4}{x}\right)-8 x^3 \log ^2\left(\frac{4}{x}\right) \log (x)+e^{\frac{1}{2} \left(-10+e^{\frac{3}{\log \left(\frac{4}{x}\right)}}\right)} \left(\left(-2 x+6 x^2\right) \log ^2\left(\frac{4}{x}\right)-4 x \log ^2\left(\frac{4}{x}\right) \log (x)+e^{\frac{3}{\log \left(\frac{4}{x}\right)}} \left(3 x^2-3 x \log (x)\right)\right)}{2 \log ^2\left(\frac{4}{x}\right)} \, dx","Integrate[((-2*x^3 + 10*x^4)*Log[4/x]^2 - 8*x^3*Log[4/x]^2*Log[x] + E^((-10 + E^(3/Log[4/x]))/2)*((-2*x + 6*x^2)*Log[4/x]^2 - 4*x*Log[4/x]^2*Log[x] + E^(3/Log[4/x])*(3*x^2 - 3*x*Log[x])))/(2*Log[4/x]^2),x]","x^5-x^4 \log (x)+x^2 e^{\frac{1}{2} e^{\frac{3}{\log \left(\frac{4}{x}\right)}}-5} (x-\log (x))","x^2 \left(x^2+e^{\frac{1}{2} e^{\frac{3}{\log \left(\frac{4}{x}\right)}}-5}\right) (x-\log (x))",1,"x^5 + E^(-5 + E^(3/Log[4/x])/2)*x^2*(x - Log[x]) - x^4*Log[x]","A",1
3376,1,9,14,0.0015773,"\int -\frac{4 \log (4)}{1+2 x+x^2} \, dx","Integrate[(-4*Log[4])/(1 + 2*x + x^2),x]","\frac{4 \log (4)}{x+1}","\frac{4 x \log (4)}{x^2+x}-4",1,"(4*Log[4])/(1 + x)","A",1
3377,1,21,28,0.0119945,"\int -\frac{4 \log (2) \log (9)}{x^2+\left(-16 x-32 e^3 x\right) \log (2)+\left(64+256 e^3+256 e^6\right) \log ^2(2)} \, dx","Integrate[(-4*Log[2]*Log[9])/(x^2 + (-16*x - 32*E^3*x)*Log[2] + (64 + 256*E^3 + 256*E^6)*Log[2]^2),x]","\frac{4 \log (2) \log (9)}{x-8 \left(\log (2)+e^3 \log (4)\right)}","\frac{x \log (9)}{x+\frac{x}{-\frac{x}{4 \log (2)}+4 e^3+1}}",1,"(4*Log[2]*Log[9])/(x - 8*(Log[2] + E^3*Log[4]))","A",1
3378,1,113,25,0.4126709,"\int \frac{-8 x+2 e^{2 x} x^3+e^x \left(-4 x+4 x^3\right)+\left(8 x+6 e^{2 x} x^2+e^x \left(-4+4 x+8 x^2\right)\right) \log (3 x)+\left(6 e^{2 x} x+e^x (4+4 x)\right) \log ^2(3 x)+2 e^{2 x} \log ^3(3 x)}{-e^4 x^3+4 e^x x^3+e^{2 x} x^3+\left(-8 x^2-3 e^4 x^2+8 e^x x^2+3 e^{2 x} x^2\right) \log (3 x)+\left(-12 x-3 e^4 x+4 e^x x+3 e^{2 x} x\right) \log ^2(3 x)+\left(-4-e^4+e^{2 x}\right) \log ^3(3 x)} \, dx","Integrate[(-8*x + 2*E^(2*x)*x^3 + E^x*(-4*x + 4*x^3) + (8*x + 6*E^(2*x)*x^2 + E^x*(-4 + 4*x + 8*x^2))*Log[3*x] + (6*E^(2*x)*x + E^x*(4 + 4*x))*Log[3*x]^2 + 2*E^(2*x)*Log[3*x]^3)/(-(E^4*x^3) + 4*E^x*x^3 + E^(2*x)*x^3 + (-8*x^2 - 3*E^4*x^2 + 8*E^x*x^2 + 3*E^(2*x)*x^2)*Log[3*x] + (-12*x - 3*E^4*x + 4*E^x*x + 3*E^(2*x)*x)*Log[3*x]^2 + (-4 - E^4 + E^(2*x))*Log[3*x]^3),x]","2 \left(\frac{1}{2} \log \left(4 e^x x^2+e^{2 x} x^2-e^4 x^2+e^{2 x} \log ^2(3 x)-e^4 \log ^2(3 x)-4 \log ^2(3 x)+4 e^x x \log (3 x)+2 e^{2 x} x \log (3 x)-2 e^4 x \log (3 x)-8 x \log (3 x)\right)-\log (x+\log (3 x))\right)","\log \left(-\left(e^x+\frac{2 x}{x+\log (3 x)}\right)^2+e^4+4\right)",1,"2*(-Log[x + Log[3*x]] + Log[-(E^4*x^2) + 4*E^x*x^2 + E^(2*x)*x^2 - 8*x*Log[3*x] - 2*E^4*x*Log[3*x] + 4*E^x*x*Log[3*x] + 2*E^(2*x)*x*Log[3*x] - 4*Log[3*x]^2 - E^4*Log[3*x]^2 + E^(2*x)*Log[3*x]^2]/2)","B",1
3379,1,25,25,0.0902567,"\int \frac{\exp \left(\frac{2 e^{x^2}+x^3 \log \left(e^{x^2}+2 x\right)}{\log \left(e^{x^2}+2 x\right)}\right) \left(-4 e^{x^2}-4 e^{2 x^2} x+\left(4 e^{2 x^2} x+8 e^{x^2} x^2\right) \log \left(e^{x^2}+2 x\right)+\left(3 e^{x^2} x^2+6 x^3\right) \log ^2\left(e^{x^2}+2 x\right)\right)}{\left(e^{x^2}+2 x\right) \log ^2\left(e^{x^2}+2 x\right)} \, dx","Integrate[(E^((2*E^x^2 + x^3*Log[E^x^2 + 2*x])/Log[E^x^2 + 2*x])*(-4*E^x^2 - 4*E^(2*x^2)*x + (4*E^(2*x^2)*x + 8*E^x^2*x^2)*Log[E^x^2 + 2*x] + (3*E^x^2*x^2 + 6*x^3)*Log[E^x^2 + 2*x]^2))/((E^x^2 + 2*x)*Log[E^x^2 + 2*x]^2),x]","e^{x^3+\frac{2 e^{x^2}}{\log \left(e^{x^2}+2 x\right)}}","e^{x^3+\frac{2 e^{x^2}}{\log \left(e^{x^2}+2 x\right)}}",1,"E^(x^3 + (2*E^x^2)/Log[E^x^2 + 2*x])","A",1
3380,1,22,23,0.0581484,"\int \frac{6+e^x-4 x}{6 e^{1+x}+e (12-12 x)} \, dx","Integrate[(6 + E^x - 4*x)/(6*E^(1 + x) + E*(12 - 12*x)),x]","\frac{2 x-\log \left(-2 x+e^x+2\right)}{6 e}","\frac{2 x-\log \left(-2 x+e^x+2\right)-2}{6 e}",1,"(2*x - Log[2 + E^x - 2*x])/(6*E)","A",1
3381,1,24,23,0.2381239,"\int \frac{\left(648+792 x+242 x^2\right) \log (x)+\left(396 x+242 x^2\right) \log ^2(x)+e^{2 \log ^2(\log (x))} (18 \log (x)+36 \log (x) \log (\log (x)))+e^{\log ^2(\log (x))} \left((-216-132 x) \log (x)-66 x \log ^2(x)+(-216-132 x) \log (x) \log (\log (x))\right)}{9 x} \, dx","Integrate[((648 + 792*x + 242*x^2)*Log[x] + (396*x + 242*x^2)*Log[x]^2 + E^(2*Log[Log[x]]^2)*(18*Log[x] + 36*Log[x]*Log[Log[x]]) + E^Log[Log[x]]^2*((-216 - 132*x)*Log[x] - 66*x*Log[x]^2 + (-216 - 132*x)*Log[x]*Log[Log[x]]))/(9*x),x]","\frac{1}{9} \left(11 x-3 e^{\log ^2(\log (x))}+18\right)^2 \log ^2(x)","\left(\frac{11 x}{3}-e^{\log ^2(\log (x))}+6\right)^2 \log ^2(x)",1,"((18 - 3*E^Log[Log[x]]^2 + 11*x)^2*Log[x]^2)/9","A",1
3382,1,20,19,0.7722046,"\int \frac{-e^x x+e^{12+4 x} x^3 (3+2 x)}{x+2 e^{12+3 x} x^4+e^{24+6 x} x^7} \, dx","Integrate[(-(E^x*x) + E^(12 + 4*x)*x^3*(3 + 2*x))/(x + 2*E^(12 + 3*x)*x^4 + E^(24 + 6*x)*x^7),x]","-\frac{e^x}{e^{3 x+12} x^3+1}","\frac{e^x}{-e^{3 (x+\log (x)+4)}-1}",1,"-(E^x/(1 + E^(12 + 3*x)*x^3))","A",1
3383,1,26,36,0.2061336,"\int \frac{\left(4-4 e^4+e^8\right) \log ^2(x)+\left(-4+2 e^4\right) \log ^2(x) \log \left(4 x^2\right)+\log ^2(x) \log ^2\left(4 x^2\right)+e^{\frac{4}{-2+e^4+\log \left(4 x^2\right)}} \left(4-4 e^4+e^8+\left(4+4 e^4-e^8\right) \log (x)+\left(-4+2 e^4+\left(4-2 e^4\right) \log (x)\right) \log \left(4 x^2\right)+(1-\log (x)) \log ^2\left(4 x^2\right)\right)}{\left(4-4 e^4+e^8\right) \log ^2(x)+\left(-4+2 e^4\right) \log ^2(x) \log \left(4 x^2\right)+\log ^2(x) \log ^2\left(4 x^2\right)} \, dx","Integrate[((4 - 4*E^4 + E^8)*Log[x]^2 + (-4 + 2*E^4)*Log[x]^2*Log[4*x^2] + Log[x]^2*Log[4*x^2]^2 + E^(4/(-2 + E^4 + Log[4*x^2]))*(4 - 4*E^4 + E^8 + (4 + 4*E^4 - E^8)*Log[x] + (-4 + 2*E^4 + (4 - 2*E^4)*Log[x])*Log[4*x^2] + (1 - Log[x])*Log[4*x^2]^2))/((4 - 4*E^4 + E^8)*Log[x]^2 + (-4 + 2*E^4)*Log[x]^2*Log[4*x^2] + Log[x]^2*Log[4*x^2]^2),x]","x-\frac{x e^{\frac{4}{\log \left(4 x^2\right)+e^4-2}}}{\log (x)}","x \left(-\frac{e^{\frac{4}{\log \left(4 x^2\right)+e^4-2}}}{\log (x)}+\frac{1-x}{x}+2\right)",1,"x - (E^(4/(-2 + E^4 + Log[4*x^2]))*x)/Log[x]","A",1
3384,1,21,24,0.0168372,"\int \frac{9 e^{2 e}+15 e^e x^2+2 x^4}{9 e^{2 e}+6 e^e x^2+x^4} \, dx","Integrate[(9*E^(2*E) + 15*E^E*x^2 + 2*x^4)/(9*E^(2*E) + 6*E^E*x^2 + x^4),x]","2 x-\frac{3 e^e x}{x^2+3 e^e}","\frac{x}{\frac{3 \left(2 x+\frac{e^e}{x}\right)}{x}-5}+x",1,"2*x - (3*E^E*x)/(3*E^E + x^2)","A",1
3385,1,37,27,0.4807326,"\int \frac{e^x \left(16+24 x+e^4 x+12 x^2+2 x^3+\left(-8-20 x-18 x^2-7 x^3-x^4\right) \log (7)\right)}{8+12 x+6 x^2+x^3} \, dx","Integrate[(E^x*(16 + 24*x + E^4*x + 12*x^2 + 2*x^3 + (-8 - 20*x - 18*x^2 - 7*x^3 - x^4)*Log[7]))/(8 + 12*x + 6*x^2 + x^3),x]","-\frac{e^x \left(x^3 \log (7)+x^2 (\log (2401)-2)+x (\log (2401)-8)-e^4-8\right)}{(x+2)^2}","e^x \left(x \left(\frac{e^4}{x (x+2)^2}-\log (7)\right)+2\right)-3",1,"-((E^x*(-8 - E^4 + x^3*Log[7] + x*(-8 + Log[2401]) + x^2*(-2 + Log[2401])))/(2 + x)^2)","A",1
3386,1,27,27,0.4646114,"\int \frac{e^{e^{\frac{1}{2 x \log (x)}}+\frac{1}{2 x \log (x)}} (-3-3 \log (x))-6 x^2 \log ^2(x)}{8 e^{4+e^{\frac{1}{2 x \log (x)}}} x^2 \log ^2(x)-8 e^4 x^3 \log ^2(x)} \, dx","Integrate[(E^(E^(1/(2*x*Log[x])) + 1/(2*x*Log[x]))*(-3 - 3*Log[x]) - 6*x^2*Log[x]^2)/(8*E^(4 + E^(1/(2*x*Log[x])))*x^2*Log[x]^2 - 8*E^4*x^3*Log[x]^2),x]","\frac{3 \log \left(e^{e^{\frac{1}{2 x \log (x)}}}-x\right)}{4 e^4}","\frac{3 \log \left(e^{e^{\frac{1}{2 x \log (x)}}}-x\right)}{4 e^4}",1,"(3*Log[E^E^(1/(2*x*Log[x])) - x])/(4*E^4)","A",1
3387,1,23,18,0.0065713,"\int \frac{-3+e^4 \left(9-4 x^2\right)}{15 e^4 x^4} \, dx","Integrate[(-3 + E^4*(9 - 4*x^2))/(15*E^4*x^4),x]","\frac{e^4 \left(4 x^2-3\right)+1}{15 e^4 x^3}","\frac{\frac{\frac{1}{e^4}-3}{x^2}+4}{15 x}",1,"(1 + E^4*(-3 + 4*x^2))/(15*E^4*x^3)","A",1
3388,1,28,30,0.0069248,"\int \frac{e^8 \left(-16+\frac{320}{e^4}+\frac{4 \left(-400-32 x^3+3 x^4\right)}{e^8}\right)}{24 x^2} \, dx","Integrate[(E^8*(-16 + 320/E^4 + (4*(-400 - 32*x^3 + 3*x^4))/E^8))/(24*x^2),x]","\frac{1}{6} \left(x^3-16 x^2+\frac{4 \left(100-20 e^4+e^8\right)}{x}\right)","\frac{2}{3} \left(\frac{x}{4}-4\right) x \left(x-\frac{\left(5-\frac{e^4}{2}\right)^2}{x^2}\right)",1,"((4*(100 - 20*E^4 + E^8))/x - 16*x^2 + x^3)/6","A",1
3389,1,21,25,0.0190001,"\int \frac{\left(-80-256 e^2-192 x\right) \log (2)}{625 x^2+20480 e^6 x^2+1500 x^3+1200 x^4+320 x^5+e^4 \left(19200 x^2+15360 x^3\right)+e^2 \left(6000 x^2+9600 x^3+3840 x^4\right)} \, dx","Integrate[((-80 - 256*E^2 - 192*x)*Log[2])/(625*x^2 + 20480*E^6*x^2 + 1500*x^3 + 1200*x^4 + 320*x^5 + E^4*(19200*x^2 + 15360*x^3) + E^2*(6000*x^2 + 9600*x^3 + 3840*x^4)),x]","\frac{16 \log (2)}{5 x \left(4 x+16 e^2+5\right)^2}","\frac{\log (2)}{5 \left(x+4 e^2+\frac{5}{4}\right)^2 x}+e^2",1,"(16*Log[2])/(5*x*(5 + 16*E^2 + 4*x)^2)","A",1
3390,1,25,28,0.0194789,"\int \frac{e^{e^5-x} (-1-x)+4 x^2+4 e^x x^2}{2 x^2} \, dx","Integrate[(E^(E^5 - x)*(-1 - x) + 4*x^2 + 4*E^x*x^2)/(2*x^2),x]","2 x+2 e^x+\frac{e^{e^5-x}}{2 x}","\frac{4 \left(x+e^x\right) x+3 x+e^{e^5-x}}{2 x}",1,"2*E^x + E^(E^5 - x)/(2*x) + 2*x","A",1
3391,1,31,26,0.0356796,"\int \frac{-8 e^{\frac{3}{5}+x}+e^{e^3} \left(-42+2 e^x-2 x\right)+e^{3/5} (168+8 x)+\left(4 e^{3/5} x-4 e^{\frac{3}{5}+x} x+e^{e^3} \left(-x+e^x x\right)\right) \log \left(x^2\right)}{x} \, dx","Integrate[(-8*E^(3/5 + x) + E^E^3*(-42 + 2*E^x - 2*x) + E^(3/5)*(168 + 8*x) + (4*E^(3/5)*x - 4*E^(3/5 + x)*x + E^E^3*(-x + E^x*x))*Log[x^2])/x,x]","\left(e^{e^3}-4 e^{3/5}\right) \left(\left(e^x-x\right) \log \left(x^2\right)-42 \log (x)\right)","\left(e^{e^3}-4 e^{3/5}\right) \left(-x+e^x-21\right) \log \left(x^2\right)",1,"(-4*E^(3/5) + E^E^3)*(-42*Log[x] + (E^x - x)*Log[x^2])","A",1
3392,1,19,24,0.0082336,"\int \frac{1}{2} \left(360 x^2-96 x^3-56 x^6+9 x^2 \log (2)\right) \, dx","Integrate[(360*x^2 - 96*x^3 - 56*x^6 + 9*x^2*Log[2])/2,x]","\frac{1}{2} x^3 \left(-8 x^4-24 x+120+\log (8)\right)","4 x^3 \left(3 \left(-x+5+\frac{\log (2)}{8}\right)-x^4\right)",1,"(x^3*(120 - 24*x - 8*x^4 + Log[8]))/2","A",1
3393,1,37,26,0.1000679,"\int \frac{e^{2 \log ^2(x)} \left(-216+27 x+90 x^3+216 x^4-27 x^5-12 x^7-72 x^8+9 x^9-6 x^{11}+8 x^{12}-x^{13}+\left(-864-108 x-72 x^3+864 x^4+108 x^5+48 x^7-288 x^8-36 x^9-8 x^{11}+32 x^{12}+4 x^{13}\right) \log (x)\right)}{-13824-5184 x-648 x^2-3483 x^3+12960 x^4+5130 x^5+360 x^6+2295 x^7-4032 x^8-1700 x^9-120 x^{10}-381 x^{11}+416 x^{12}+186 x^{13}+24 x^{14}+x^{15}} \, dx","Integrate[(E^(2*Log[x]^2)*(-216 + 27*x + 90*x^3 + 216*x^4 - 27*x^5 - 12*x^7 - 72*x^8 + 9*x^9 - 6*x^11 + 8*x^12 - x^13 + (-864 - 108*x - 72*x^3 + 864*x^4 + 108*x^5 + 48*x^7 - 288*x^8 - 36*x^9 - 8*x^11 + 32*x^12 + 4*x^13)*Log[x]))/(-13824 - 5184*x - 648*x^2 - 3483*x^3 + 12960*x^4 + 5130*x^5 + 360*x^6 + 2295*x^7 - 4032*x^8 - 1700*x^9 - 120*x^10 - 381*x^11 + 416*x^12 + 186*x^13 + 24*x^14 + x^15),x]","\frac{x \left(x^4-3\right)^2 e^{2 \log ^2(x)}}{\left(x^5+8 x^4-2 x^3-3 x-24\right)^2}","\frac{x e^{2 \log ^2(x)}}{\left(-\frac{2}{x-\frac{3}{x^3}}+x+8\right)^2}",1,"(E^(2*Log[x]^2)*x*(-3 + x^4)^2)/(-24 - 3*x - 2*x^3 + 8*x^4 + x^5)^2","A",1
3394,1,18,18,5.0395957,"\int \frac{e^{-1-x+\log ^2\left(\frac{-60+20 x}{x}\right)} \left(3 x-x^2+6 \log \left(\frac{-60+20 x}{x}\right)\right)}{-3 x+x^2} \, dx","Integrate[(E^(-1 - x + Log[(-60 + 20*x)/x]^2)*(3*x - x^2 + 6*Log[(-60 + 20*x)/x]))/(-3*x + x^2),x]","e^{-x+\log ^2\left(\frac{20 (x-3)}{x}\right)-1}","e^{-x+\log ^2\left(\frac{20 (x-3)}{x}\right)-1}",1,"E^(-1 - x + Log[(20*(-3 + x))/x]^2)","A",1
3395,1,9,10,0.0028794,"\int \frac{6+2 x}{8+6 x+x^2} \, dx","Integrate[(6 + 2*x)/(8 + 6*x + x^2),x]","\log \left(x^2+6 x+8\right)","\log \left((-x-3)^2-1\right)",1,"Log[8 + 6*x + x^2]","A",1
3396,1,8,18,0.0018041,"\int \frac{3+x}{4+x} \, dx","Integrate[(3 + x)/(4 + x),x]","x-\log (x+4)","x-\log \left(\frac{x+4}{4}\right)-e^6-76",1,"x - Log[4 + x]","A",1
3397,1,14,19,0.0000686,"\int \left(-2+e^{16} x\right) \, dx","Integrate[-2 + E^16*x,x]","\frac{e^{16} x^2}{2}-2 x","2 \left(\frac{e^{16} x^2}{4}-x+9\right)+1",1,"-2*x + (E^16*x^2)/2","A",1
3398,1,5,5,0.0008621,"\int e^{2+x} \, dx","Integrate[E^(2 + x),x]","e^{x+2}","e^{x+2}",1,"E^(2 + x)","A",1
3399,1,14,17,0.0220144,"\int e^{-x} \left(2-e^x+e (1-x)-2 x\right) \, dx","Integrate[(2 - E^x + E*(1 - x) - 2*x)/E^x,x]","(2+e) e^{-x} x-x","(2+e) e^{-x} x-x-\frac{2}{5}",1,"-x + ((2 + E)*x)/E^x","A",1
3400,1,47,32,0.1033188,"\int \frac{e^{2 e^x} \left(-4+12 x^2-4 x^3\right)+e^6 \left(12 x^2-4 x^3\right)+e^{e^x} \left(4 e^{3+x} x+e^3 \left(-4+24 x^2-8 x^3\right)\right)}{e^{2 e^x} \left(4-20 x+49 x^2-64 x^3+46 x^4-12 x^5+x^6\right)+e^6 \left(25 x^2-60 x^3+46 x^4-12 x^5+x^6\right)+e^{3+e^x} \left(-20 x+74 x^2-124 x^3+92 x^4-24 x^5+2 x^6\right)} \, dx","Integrate[(E^(2*E^x)*(-4 + 12*x^2 - 4*x^3) + E^6*(12*x^2 - 4*x^3) + E^E^x*(4*E^(3 + x)*x + E^3*(-4 + 24*x^2 - 8*x^3)))/(E^(2*E^x)*(4 - 20*x + 49*x^2 - 64*x^3 + 46*x^4 - 12*x^5 + x^6) + E^6*(25*x^2 - 60*x^3 + 46*x^4 - 12*x^5 + x^6) + E^(3 + E^x)*(-20*x + 74*x^2 - 124*x^3 + 92*x^4 - 24*x^5 + 2*x^6)),x]","\frac{2 \left(e^{e^x}+e^3\right) x}{e^3 x \left(x^2-6 x+5\right)+e^{e^x} \left(x^3-6 x^2+5 x-2\right)}","\frac{2}{(x-5) (x-1)+\frac{2}{-e^{3-e^x} x-x}}",1,"(2*(E^3 + E^E^x)*x)/(E^3*x*(5 - 6*x + x^2) + E^E^x*(-2 + 5*x - 6*x^2 + x^3))","A",1
3401,1,207,29,0.1106256,"\int \left(1152+1800 x+2032 x^2+1130 x^3+934 x^4+526 x^5+114 x^6+8 x^7+e^8 \left(8 x-4 x^2+4 x^3\right)+e^6 \left(16+112 x-12 x^2+40 x^3+20 x^4\right)+e^4 \left(200+616 x+218 x^2+192 x^3+202 x^4+36 x^5\right)+e^2 \left(832+1632 x+1312 x^2+664 x^3+716 x^4+272 x^5+28 x^6\right)+\left(1024+1792 x+1740 x^2+1914 x^3+1006 x^4+206 x^5+14 x^6+e^8 \left(4-2 x+6 x^2\right)+e^6 \left(64+80 x^2+32 x^3\right)+e^4 \left(384+208 x+448 x^2+364 x^3+60 x^4\right)+e^2 \left(1024+1152 x+1328 x^2+1416 x^3+488 x^4+48 x^5\right)\right) \log (x)+\left(512 x+2 e^8 x+864 x^2+452 x^3+90 x^4+6 x^5+e^6 \left(32 x+12 x^2\right)+e^4 \left(192 x+150 x^2+24 x^3\right)+e^2 \left(512 x+624 x^2+208 x^3+20 x^4\right)\right) \log ^2(x)\right) \, dx","Integrate[1152 + 1800*x + 2032*x^2 + 1130*x^3 + 934*x^4 + 526*x^5 + 114*x^6 + 8*x^7 + E^8*(8*x - 4*x^2 + 4*x^3) + E^6*(16 + 112*x - 12*x^2 + 40*x^3 + 20*x^4) + E^4*(200 + 616*x + 218*x^2 + 192*x^3 + 202*x^4 + 36*x^5) + E^2*(832 + 1632*x + 1312*x^2 + 664*x^3 + 716*x^4 + 272*x^5 + 28*x^6) + (1024 + 1792*x + 1740*x^2 + 1914*x^3 + 1006*x^4 + 206*x^5 + 14*x^6 + E^8*(4 - 2*x + 6*x^2) + E^6*(64 + 80*x^2 + 32*x^3) + E^4*(384 + 208*x + 448*x^2 + 364*x^3 + 60*x^4) + E^2*(1024 + 1152*x + 1328*x^2 + 1416*x^3 + 488*x^4 + 48*x^5))*Log[x] + (512*x + 2*E^8*x + 864*x^2 + 452*x^3 + 90*x^4 + 6*x^5 + E^6*(32*x + 12*x^2) + E^4*(192*x + 150*x^2 + 24*x^3) + E^2*(512*x + 624*x^2 + 208*x^3 + 20*x^4))*Log[x]^2,x]","x \left(x^7+4 \left(4+e^2\right) x^6+2 \left(41+22 e^2+3 e^4\right) x^5+2 \left(74+62 e^2+19 e^4+2 e^6\right) x^4+\left(177+84 e^2+26 e^4+8 e^6+e^8\right) x^3-2 \left(-274-168 e^2-17 e^4+6 e^6+e^8\right) x^2+\left(x^2+9 x+2 e^2 (x+4)+e^4+16\right)^2 x \log ^2(x)+2 \left(x^2-x+2\right) \left(x^2+9 x+2 e^2 (x+4)+e^4+16\right)^2 \log (x)+\left(580+656 e^2+304 e^4+64 e^6+5 e^8\right) x-4 \left(4+e^2\right)^2 \left(-2+4 e^2+e^4\right)\right)","\left(\left(x+e^2+4\right)^2+x\right)^2 \left(x^2-x+x \log (x)+2\right)^2+5",1,"x*(-4*(4 + E^2)^2*(-2 + 4*E^2 + E^4) + (580 + 656*E^2 + 304*E^4 + 64*E^6 + 5*E^8)*x - 2*(-274 - 168*E^2 - 17*E^4 + 6*E^6 + E^8)*x^2 + (177 + 84*E^2 + 26*E^4 + 8*E^6 + E^8)*x^3 + 2*(74 + 62*E^2 + 19*E^4 + 2*E^6)*x^4 + 2*(41 + 22*E^2 + 3*E^4)*x^5 + 4*(4 + E^2)*x^6 + x^7 + 2*(2 - x + x^2)*(16 + E^4 + 9*x + x^2 + 2*E^2*(4 + x))^2*Log[x] + x*(16 + E^4 + 9*x + x^2 + 2*E^2*(4 + x))^2*Log[x]^2)","B",1
3402,1,30,30,0.3620754,"\int \frac{-32+12 x+2 e^x x^3-8 x^4}{8 x-6 x^2+9 x^3+e^x x^3-2 x^5} \, dx","Integrate[(-32 + 12*x + 2*E^x*x^3 - 8*x^4)/(8*x - 6*x^2 + 9*x^3 + E^x*x^3 - 2*x^5),x]","2 \log \left(-2 x^4+e^x x^2+9 x^2-6 x+8\right)-4 \log (x)","\log \left(\left(-x^2+\frac{1}{2} \left(e^x-1\right)+\frac{\frac{4}{x}-3}{x}+5\right)^2\right)",1,"-4*Log[x] + 2*Log[8 - 6*x + 9*x^2 + E^x*x^2 - 2*x^4]","A",1
3403,1,24,26,0.1061777,"\int \frac{e^{\frac{\log ^2(2 x)}{25 x^4-10 x^6+x^8}} \left(-375 x^4-250 x^5+225 x^6+150 x^7-45 x^8-30 x^9+3 x^{10}+2 x^{11}+\left(-30-10 x+6 x^2+2 x^3\right) \log (2 x)+\left(60+20 x-24 x^2-8 x^3\right) \log ^2(2 x)\right)}{-125 x^4+75 x^6-15 x^8+x^{10}} \, dx","Integrate[(E^(Log[2*x]^2/(25*x^4 - 10*x^6 + x^8))*(-375*x^4 - 250*x^5 + 225*x^6 + 150*x^7 - 45*x^8 - 30*x^9 + 3*x^10 + 2*x^11 + (-30 - 10*x + 6*x^2 + 2*x^3)*Log[2*x] + (60 + 20*x - 24*x^2 - 8*x^3)*Log[2*x]^2))/(-125*x^4 + 75*x^6 - 15*x^8 + x^10),x]","x (x+3) e^{\frac{\log ^2(2 x)}{x^4 \left(x^2-5\right)^2}}","x (x+3) e^{\frac{\log ^2(2 x)}{x^4 \left(5-x^2\right)^2}}",1,"E^(Log[2*x]^2/(x^4*(-5 + x^2)^2))*x*(3 + x)","A",1
3404,1,18,18,0.0027799,"\int \frac{-25 e-4 x^4+4 x^4 \log (x)}{20 x^6} \, dx","Integrate[(-25*E - 4*x^4 + 4*x^4*Log[x])/(20*x^6),x]","\frac{e}{4 x^5}-\frac{\log (x)}{5 x}","-\frac{\log (x)-\frac{5 e}{4 x^4}}{5 x}",1,"E/(4*x^5) - Log[x]/(5*x)","A",1
3405,1,22,20,0.0067803,"\int \frac{17 x+8 x^2+(2+x) \log (2+x)}{2+x} \, dx","Integrate[(17*x + 8*x^2 + (2 + x)*Log[2 + x])/(2 + x),x]","4 (x+2)^2-15 (x+2)-x+x \log (x+2)","4 \left(x^2+x\right)-x (4-\log (x+2))-5",1,"-x - 15*(2 + x) + 4*(2 + x)^2 + x*Log[2 + x]","A",1
3406,1,47,30,0.2047133,"\int \frac{-54 x+81 x^3+e^8 \left(-6 x+9 x^3\right)+e^{2 x} \left(-5 x-6 x^2+9 x^3\right)+e^4 \left(-36 x+54 x^3\right)+e^x \left(-2+30 x+18 x^2-54 x^3+e^4 \left(10 x+6 x^2-18 x^3\right)\right)+\left(36 x-54 x^3+e^4 \left(12 x-18 x^3\right)+e^x \left(-10 x-6 x^2+18 x^3\right)\right) \log (x)+\left(-6 x+9 x^3\right) \log ^2(x)}{81 x^3+54 e^4 x^3+9 e^8 x^3+e^{2 x} \left(x-6 x^2+9 x^3\right)+e^x \left(18 x^2-54 x^3+e^4 \left(6 x^2-18 x^3\right)\right)+\left(-54 x^3-18 e^4 x^3+e^x \left(-6 x^2+18 x^3\right)\right) \log (x)+9 x^3 \log ^2(x)} \, dx","Integrate[(-54*x + 81*x^3 + E^8*(-6*x + 9*x^3) + E^(2*x)*(-5*x - 6*x^2 + 9*x^3) + E^4*(-36*x + 54*x^3) + E^x*(-2 + 30*x + 18*x^2 - 54*x^3 + E^4*(10*x + 6*x^2 - 18*x^3)) + (36*x - 54*x^3 + E^4*(12*x - 18*x^3) + E^x*(-10*x - 6*x^2 + 18*x^3))*Log[x] + (-6*x + 9*x^3)*Log[x]^2)/(81*x^3 + 54*E^4*x^3 + 9*E^8*x^3 + E^(2*x)*(x - 6*x^2 + 9*x^3) + E^x*(18*x^2 - 54*x^3 + E^4*(6*x^2 - 18*x^3)) + (-54*x^3 - 18*E^4*x^3 + E^x*(-6*x^2 + 18*x^3))*Log[x] + 9*x^3*Log[x]^2),x]","x+\frac{2}{3 x}+\frac{2 e^x}{3 x \left(3 e^x x-3 e^4 x-9 x-e^x+3 x \log (x)\right)}","x+\frac{2}{3 x-\frac{e^x}{e^x+\log (x)-e^4-3}}+5",1,"2/(3*x) + x + (2*E^x)/(3*x*(-E^x - 9*x - 3*E^4*x + 3*E^x*x + 3*x*Log[x]))","A",1
3407,1,2,2,0.000144,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log (x)",1,"Log[x]","A",1
3408,1,28,29,0.3730697,"\int \frac{e^{2+3 x} \left(1+\log \left(x^2\right)\right)^3 \left(30+15 x+(15+15 x) \log \left(x^2\right)+15 \log ^2\left(x^2\right)\right)}{\left(-4-4 x-4 \log \left(x^2\right)\right)^3 \left(1+x+(2+x) \log \left(x^2\right)+\log ^2\left(x^2\right)\right)} \, dx","Integrate[(E^(2 + 3*x)*(1 + Log[x^2])^3*(30 + 15*x + (15 + 15*x)*Log[x^2] + 15*Log[x^2]^2))/((-4 - 4*x - 4*Log[x^2])^3*(1 + x + (2 + x)*Log[x^2] + Log[x^2]^2)),x]","-\frac{5 e^{3 x+2} \left(\log \left(x^2\right)+1\right)^3}{64 \left(\log \left(x^2\right)+x+1\right)^3}","5 \exp \left(3 \left(x-\log \left(4 \left(\frac{x}{-\log \left(x^2\right)-1}-1\right)\right)\right)+2\right)",1,"(-5*E^(2 + 3*x)*(1 + Log[x^2])^3)/(64*(1 + x + Log[x^2])^3)","A",1
3409,1,7,9,0.0009268,"\int -30 e^{-x} \, dx","Integrate[-30/E^x,x]","30 e^{-x}","30 e^{-x}-5",1,"30/E^x","A",1
3410,1,12,20,0.0146774,"\int e^{-x} \left(7-7 e^x-7 x\right) \, dx","Integrate[(7 - 7*E^x - 7*x)/E^x,x]","-7 \left(x-e^{-x} x\right)","-7 \left(x-e^{-x} x\right)+4-\log ^2(5)",1,"-7*(x - x/E^x)","A",1
3411,1,23,25,0.0670541,"\int \frac{2 e^{2+2 x}+e^{5 x} \left(-10 e^{2+2 x}+4 e^{4+4 x}\right)+e^{4+4 x} (8-4 x)+\left(-2+e^{5 x} \left(10-4 e^{2+2 x}\right)+e^{2+2 x} (-8+4 x)\right) \log \left(-2-e^{5 x}+x\right)}{2+e^{5 x}-x} \, dx","Integrate[(2*E^(2 + 2*x) + E^(5*x)*(-10*E^(2 + 2*x) + 4*E^(4 + 4*x)) + E^(4 + 4*x)*(8 - 4*x) + (-2 + E^(5*x)*(10 - 4*E^(2 + 2*x)) + E^(2 + 2*x)*(-8 + 4*x))*Log[-2 - E^(5*x) + x])/(2 + E^(5*x) - x),x]","\left(e^{2 x+2}-\log \left(x-e^{5 x}-2\right)\right)^2","\left(e^{2 x+2}-\log \left(x-e^{5 x}-2\right)\right)^2-1",1,"(E^(2 + 2*x) - Log[-2 - E^(5*x) + x])^2","A",1
3412,1,129,28,0.3198587,"\int \frac{-200 x^3-80 x^3 \log (2)-8 x^3 \log ^2(2)+\left(24000 x^2+3100 x^3+\left(9600 x^2+1240 x^3\right) \log (2)+\left(960 x^2+124 x^3\right) \log ^2(2)\right) \log \left(x^2\right)+\left(-960000 x-252000 x^2-17000 x^3+\left(-384000 x-100800 x^2-6800 x^3\right) \log (2)+\left(-38400 x-10080 x^2-680 x^3\right) \log ^2(2)\right) \log ^2\left(x^2\right)+\left(12800000+5280000 x+780000 x^2+40000 x^3+\left(5120000+2112000 x+312000 x^2+16000 x^3\right) \log (2)+\left(512000+211200 x+31200 x^2+1600 x^3\right) \log ^2(2)\right) \log ^3\left(x^2\right)+\left(-6400000-4800000 x-900000 x^2-50000 x^3+\left(-2560000-1920000 x-360000 x^2-20000 x^3\right) \log (2)+\left(-256000-192000 x-36000 x^2-2000 x^3\right) \log ^2(2)\right) \log ^4\left(x^2\right)+\left(31999975+12000000 x+1500000 x^2+62500 x^3+\left(12800000+4800000 x+600000 x^2+25000 x^3\right) \log (2)+\left(1280000+480000 x+60000 x^2+2500 x^3\right) \log ^2(2)\right) \log ^5\left(x^2\right)}{25 \log ^5\left(x^2\right)} \, dx","Integrate[(-200*x^3 - 80*x^3*Log[2] - 8*x^3*Log[2]^2 + (24000*x^2 + 3100*x^3 + (9600*x^2 + 1240*x^3)*Log[2] + (960*x^2 + 124*x^3)*Log[2]^2)*Log[x^2] + (-960000*x - 252000*x^2 - 17000*x^3 + (-384000*x - 100800*x^2 - 6800*x^3)*Log[2] + (-38400*x - 10080*x^2 - 680*x^3)*Log[2]^2)*Log[x^2]^2 + (12800000 + 5280000*x + 780000*x^2 + 40000*x^3 + (5120000 + 2112000*x + 312000*x^2 + 16000*x^3)*Log[2] + (512000 + 211200*x + 31200*x^2 + 1600*x^3)*Log[2]^2)*Log[x^2]^3 + (-6400000 - 4800000*x - 900000*x^2 - 50000*x^3 + (-2560000 - 1920000*x - 360000*x^2 - 20000*x^3)*Log[2] + (-256000 - 192000*x - 36000*x^2 - 2000*x^3)*Log[2]^2)*Log[x^2]^4 + (31999975 + 12000000*x + 1500000*x^2 + 62500*x^3 + (12800000 + 4800000*x + 600000*x^2 + 25000*x^3)*Log[2] + (1280000 + 480000*x + 60000*x^2 + 2500*x^3)*Log[2]^2)*Log[x^2]^5)/(25*Log[x^2]^5),x]","\frac{6 (x+8)^2 x^2 (5+\log (2))^2}{\log ^2\left(x^2\right)}-\frac{20 (x+8)^3 x (5+\log (2))^2}{\log \left(x^2\right)}+\frac{x^4 (5+\log (2))^2}{25 \log ^4\left(x^2\right)}-\frac{4 (x+8) x^3 (5+\log (2))^2}{5 \log ^3\left(x^2\right)}+x \left(25 x^3 (5+\log (2))^2+800 x^2 (5+\log (2))^2+9600 x (5+\log (2))^2+1279999+51200 \log ^2(2)+512000 \log (2)\right)","25 (5+\log (2))^2 \left(-\frac{x}{5 \log \left(x^2\right)}+x+8\right)^4-x",1,"x*(1279999 + 512000*Log[2] + 51200*Log[2]^2 + 9600*x*(5 + Log[2])^2 + 800*x^2*(5 + Log[2])^2 + 25*x^3*(5 + Log[2])^2) + (x^4*(5 + Log[2])^2)/(25*Log[x^2]^4) - (4*x^3*(8 + x)*(5 + Log[2])^2)/(5*Log[x^2]^3) + (6*x^2*(8 + x)^2*(5 + Log[2])^2)/Log[x^2]^2 - (20*x*(8 + x)^3*(5 + Log[2])^2)/Log[x^2]","B",1
3413,1,25,25,0.6322551,"\int e^{3 x+e^{1+e^{e^{5+x}}+e^x \log (5)} x} \left(1+3 x+e^{1+e^{e^{5+x}}+e^x \log (5)} \left(x+e^{5+e^{5+x}+x} x^2+e^x x^2 \log (5)\right)\right) \, dx","Integrate[E^(3*x + E^(1 + E^E^(5 + x) + E^x*Log[5])*x)*(1 + 3*x + E^(1 + E^E^(5 + x) + E^x*Log[5])*(x + E^(5 + E^(5 + x) + x)*x^2 + E^x*x^2*Log[5])),x]","e^{\left(5^{e^x} e^{e^{e^{x+5}}+1}+3\right) x} x","x e^{x \left(e^{e^{e^{x+5}}+e^x \log (5)+1}+3\right)}",1,"E^((3 + 5^E^x*E^(1 + E^E^(5 + x)))*x)*x","A",1
3414,1,22,22,0.0478892,"\int \frac{e^{18+e^4-3 x-x \log (x)} (-4-\log (x))}{2+\log (2)} \, dx","Integrate[(E^(18 + E^4 - 3*x - x*Log[x])*(-4 - Log[x]))/(2 + Log[2]),x]","\frac{e^{-3 x+e^4+18} x^{-x}}{2+\log (2)}","\frac{e^{-3 x+x (-\log (x))+e^4+18}}{2+\log (2)}",1,"E^(18 + E^4 - 3*x)/(x^x*(2 + Log[2]))","A",1
3415,1,64,22,0.0327995,"\int \frac{-117+396 x-225 x^2-36 x^3+27 x^4+e^2 \left(54-198 x+162 x^2-36 x^3\right)}{4+e^4+e^2 (-4-2 x)+4 x+x^2} \, dx","Integrate[(-117 + 396*x - 225*x^2 - 36*x^3 + 27*x^4 + E^2*(54 - 198*x + 162*x^2 - 36*x^3))/(4 + E^4 + E^2*(-4 - 2*x) + 4*x + x^2),x]","-\frac{9 \left(x^4-6 x^3+11 x^2+148 x-2 e^6 (2 x+25)+e^4 (42 x+226)-2 e^2 (71 x+219)+4 e^8+309\right)}{-x+e^2-2}","\frac{9 \left(x^2-3 x+1\right)^2}{x-e^2+2}",1,"(-9*(309 + 4*E^8 + 148*x + 11*x^2 - 6*x^3 + x^4 - 2*E^6*(25 + 2*x) + E^4*(226 + 42*x) - 2*E^2*(219 + 71*x)))/(-2 + E^2 - x)","B",1
3416,1,16,18,0.0414394,"\int e^{16-32 e^8 x^2+24 e^{16} x^4-8 e^{24} x^6+e^{32} x^8} \left(-1+64 e^8 x^2-96 e^{16} x^4+48 e^{24} x^6-8 e^{32} x^8\right) \, dx","Integrate[E^(16 - 32*E^8*x^2 + 24*E^16*x^4 - 8*E^24*x^6 + E^32*x^8)*(-1 + 64*E^8*x^2 - 96*E^16*x^4 + 48*E^24*x^6 - 8*E^32*x^8),x]","-e^{\left(e^8 x^2-2\right)^4} x","-e^{\left(e^8 x^2-2\right)^4} x-3",1,"-(E^(-2 + E^8*x^2)^4*x)","A",1
3417,1,20,17,0.2547751,"\int \frac{32 x^2+\left(12-16 x^2\right) \log \left(3-4 x^2\right)}{-9 x^2+12 x^4+\left(-3 x+4 x^3\right) \log \left(3-4 x^2\right)} \, dx","Integrate[(32*x^2 + (12 - 16*x^2)*Log[3 - 4*x^2])/(-9*x^2 + 12*x^4 + (-3*x + 4*x^3)*Log[3 - 4*x^2]),x]","4 \left(\log \left(\log \left(3-4 x^2\right)+3 x\right)-\log (x)\right)","4 \log \left(\frac{\log \left(3-4 x^2\right)}{x}+3\right)",1,"4*(-Log[x] + Log[3*x + Log[3 - 4*x^2]])","A",1
3418,1,8,11,0.0001313,"\int -e^{e^3} \, dx","Integrate[-E^E^3,x]","-e^{e^3} x","e^{e^3} (1-x)",1,"-(E^E^3*x)","A",1
3419,1,11,11,0.0022703,"\int \frac{-2-\log \left(\frac{1}{x^2}\right)}{32 x^2} \, dx","Integrate[(-2 - Log[x^(-2)])/(32*x^2),x]","\frac{\log \left(\frac{1}{x^2}\right)}{32 x}","\frac{\log \left(\frac{1}{x^2}\right)}{32 x}",1,"Log[x^(-2)]/(32*x)","A",1
3420,1,28,23,0.0158247,"\int \frac{\left(1-4 x-1083 x^2-608 x^3-80 x^4\right) \log (4)}{x^2-4 x^3-718 x^4+1140 x^5+130897 x^6+109808 x^7+34656 x^8+4864 x^9+256 x^{10}} \, dx","Integrate[((1 - 4*x - 1083*x^2 - 608*x^3 - 80*x^4)*Log[4])/(x^2 - 4*x^3 - 718*x^4 + 1140*x^5 + 130897*x^6 + 109808*x^7 + 34656*x^8 + 4864*x^9 + 256*x^10),x]","-\frac{\log (4)}{-16 x^5-152 x^4-361 x^3-2 x^2+x}","\frac{\log (4)}{x \left((x-4 x (x+5))^2+2 x-1\right)}",1,"-(Log[4]/(x - 2*x^2 - 361*x^3 - 152*x^4 - 16*x^5))","A",1
3421,1,17,19,0.0209187,"\int \frac{-2+2 e^x}{\left(5 e^x-5 x\right) \log ^2\left(-e^x \log (3)+x \log (3)\right)} \, dx","Integrate[(-2 + 2*E^x)/((5*E^x - 5*x)*Log[-(E^x*Log[3]) + x*Log[3]]^2),x]","-\frac{2}{5 \log \left(\left(x-e^x\right) \log (3)\right)}","2-\frac{2}{5 \log \left(\left(x-e^x\right) \log (3)\right)}",1,"-2/(5*Log[(-E^x + x)*Log[3]])","A",1
3422,1,15,15,0.0050586,"\int \frac{19+2 x-2 x^2}{-17+2 x+2 x^2} \, dx","Integrate[(19 + 2*x - 2*x^2)/(-17 + 2*x + 2*x^2),x]","\log \left(-2 x^2-2 x+17\right)-x","\log \left(9-2 \left(x^2+x-4\right)\right)-x",1,"-x + Log[17 - 2*x - 2*x^2]","A",1
3423,1,25,27,0.0766837,"\int \frac{-15 x+18 x^2+15 x^3-14 x^4+e^3 \left(12-15 x-16 x^2+15 x^3\right)+\left(2 x^3-2 x^4+e^3 \left(-2 x^2+2 x^3\right)\right) \log \left(-x^5+x^6+e^3 \left(x^4-x^5\right)\right)}{100 x^2-100 x^3+e^3 \left(-100 x+100 x^2\right)+\left(20 x^2-20 x^3+e^3 \left(-20 x+20 x^2\right)\right) \log \left(-x^5+x^6+e^3 \left(x^4-x^5\right)\right)+\left(x^2-x^3+e^3 \left(-x+x^2\right)\right) \log ^2\left(-x^5+x^6+e^3 \left(x^4-x^5\right)\right)} \, dx","Integrate[(-15*x + 18*x^2 + 15*x^3 - 14*x^4 + E^3*(12 - 15*x - 16*x^2 + 15*x^3) + (2*x^3 - 2*x^4 + E^3*(-2*x^2 + 2*x^3))*Log[-x^5 + x^6 + E^3*(x^4 - x^5)])/(100*x^2 - 100*x^3 + E^3*(-100*x + 100*x^2) + (20*x^2 - 20*x^3 + E^3*(-20*x + 20*x^2))*Log[-x^5 + x^6 + E^3*(x^4 - x^5)] + (x^2 - x^3 + E^3*(-x + x^2))*Log[-x^5 + x^6 + E^3*(x^4 - x^5)]^2),x]","\frac{x^2+3}{\log \left((x-1) x^4 \left(x-e^3\right)\right)+10}","\frac{x^2+3}{\log \left((1-x) \left(e^3-x\right) x^4\right)+10}",1,"(3 + x^2)/(10 + Log[(-1 + x)*x^4*(-E^3 + x)])","A",1
3424,1,11,21,0.0008578,"\int \frac{1}{5} (-738-360 x) \, dx","Integrate[(-738 - 360*x)/5,x]","-36 x^2-\frac{738 x}{5}","\frac{2 x}{5}-4 \left((3 x+6)^2+x+1\right)+e^4",1,"(-738*x)/5 - 36*x^2","A",1
3425,1,23,24,0.0340705,"\int \frac{-1+\left(7 x-2 x^2-2 e^{x^2} x^2\right) \log (4 x)}{x \log (4 x)} \, dx","Integrate[(-1 + (7*x - 2*x^2 - 2*E^x^2*x^2)*Log[4*x])/(x*Log[4*x]),x]","-x^2-e^{x^2}+7 x-\log (\log (4 x))","-e^{x^2}-(x-3)^2+x-\log (\log (4 x))+4",1,"-E^x^2 + 7*x - x^2 - Log[Log[4*x]]","A",1
3426,0,0,32,4.1394987,"\int \frac{\exp \left(x-\frac{2 \log ^2(4)}{-3 \log ^2(4)+e^x \left(x^2-2 x \log (3) \log (4)+\log ^2(3) \log ^2(4)\right)}\right) \left(\left(-8 x-4 x^2\right) \log ^2(4)+(8+8 x) \log (3) \log ^3(4)-4 \log ^2(3) \log ^4(4)\right)}{9 \log ^4(4)+e^x \left(-6 x^2 \log ^2(4)+12 x \log (3) \log ^3(4)-6 \log ^2(3) \log ^4(4)\right)+e^{2 x} \left(x^4-4 x^3 \log (3) \log (4)+6 x^2 \log ^2(3) \log ^2(4)-4 x \log ^3(3) \log ^3(4)+\log ^4(3) \log ^4(4)\right)} \, dx","Integrate[(E^(x - (2*Log[4]^2)/(-3*Log[4]^2 + E^x*(x^2 - 2*x*Log[3]*Log[4] + Log[3]^2*Log[4]^2)))*((-8*x - 4*x^2)*Log[4]^2 + (8 + 8*x)*Log[3]*Log[4]^3 - 4*Log[3]^2*Log[4]^4))/(9*Log[4]^4 + E^x*(-6*x^2*Log[4]^2 + 12*x*Log[3]*Log[4]^3 - 6*Log[3]^2*Log[4]^4) + E^(2*x)*(x^4 - 4*x^3*Log[3]*Log[4] + 6*x^2*Log[3]^2*Log[4]^2 - 4*x*Log[3]^3*Log[4]^3 + Log[3]^4*Log[4]^4)),x]","\int \frac{\exp \left(x-\frac{2 \log ^2(4)}{-3 \log ^2(4)+e^x \left(x^2-2 x \log (3) \log (4)+\log ^2(3) \log ^2(4)\right)}\right) \left(\left(-8 x-4 x^2\right) \log ^2(4)+(8+8 x) \log (3) \log ^3(4)-4 \log ^2(3) \log ^4(4)\right)}{9 \log ^4(4)+e^x \left(-6 x^2 \log ^2(4)+12 x \log (3) \log ^3(4)-6 \log ^2(3) \log ^4(4)\right)+e^{2 x} \left(x^4-4 x^3 \log (3) \log (4)+6 x^2 \log ^2(3) \log ^2(4)-4 x \log ^3(3) \log ^3(4)+\log ^4(3) \log ^4(4)\right)} \, dx","2 \left(\log (2)-e^{\frac{2}{3-e^x \left(\log (3)-\frac{x}{\log (4)}\right)^2}}\right)",1,"Integrate[(E^(x - (2*Log[4]^2)/(-3*Log[4]^2 + E^x*(x^2 - 2*x*Log[3]*Log[4] + Log[3]^2*Log[4]^2)))*((-8*x - 4*x^2)*Log[4]^2 + (8 + 8*x)*Log[3]*Log[4]^3 - 4*Log[3]^2*Log[4]^4))/(9*Log[4]^4 + E^x*(-6*x^2*Log[4]^2 + 12*x*Log[3]*Log[4]^3 - 6*Log[3]^2*Log[4]^4) + E^(2*x)*(x^4 - 4*x^3*Log[3]*Log[4] + 6*x^2*Log[3]^2*Log[4]^2 - 4*x*Log[3]^3*Log[4]^3 + Log[3]^4*Log[4]^4)), x]","F",-1
3427,1,59,32,0.062381,"\int \frac{11250+6000 x+1050 x^2-60 x^3-90 x^4-24 x^5-2 x^6+e^{10/x} \left(250 x+100 x^2+10 x^3\right)+e^{5/x} \left(-3750-2750 x-900 x^2-100 x^3+10 x^4+2 x^5\right)}{25 x^3+10 x^4+x^5} \, dx","Integrate[(11250 + 6000*x + 1050*x^2 - 60*x^3 - 90*x^4 - 24*x^5 - 2*x^6 + E^(10/x)*(250*x + 100*x^2 + 10*x^3) + E^(5/x)*(-3750 - 2750*x - 900*x^2 - 100*x^3 + 10*x^4 + 2*x^5))/(25*x^3 + 10*x^4 + x^5),x]","2 \left(-\frac{x^2}{2}-\frac{225}{2 x^2}-2 x-\frac{e^{10/x}}{2}+e^{5/x} \left(x+\frac{15}{x}+2\right)+\frac{10}{x+5}-\frac{30}{x}\right)","\frac{20}{x+5}-\left(x-e^{5/x}+\frac{3 (x+5)}{x}-1\right)^2",1,"2*(-1/2*E^(10/x) - 225/(2*x^2) - 30/x - 2*x - x^2/2 + 10/(5 + x) + E^(5/x)*(2 + 15/x + x))","A",1
3428,1,20,27,5.0403525,"\int \frac{-60-30 x+\left(-30+15 x+6 x^2-3 x^3\right) \log \left(\frac{20-4 x^2}{x^2}\right)}{\left(-160-240 x-88 x^2+28 x^3+24 x^4+4 x^5\right) \log ^2\left(\frac{20-4 x^2}{x^2}\right)} \, dx","Integrate[(-60 - 30*x + (-30 + 15*x + 6*x^2 - 3*x^3)*Log[(20 - 4*x^2)/x^2])/((-160 - 240*x - 88*x^2 + 28*x^3 + 24*x^4 + 4*x^5)*Log[(20 - 4*x^2)/x^2]^2),x]","\frac{3 x}{4 (x+2)^2 \log \left(\frac{20}{x^2}-4\right)}","\frac{3 x}{4 (x+2)^2 \log \left(\frac{4 \left(\frac{5}{x}-x\right)}{x}\right)}",1,"(3*x)/(4*(2 + x)^2*Log[-4 + 20/x^2])","A",1
3429,1,28,26,0.1260781,"\int \frac{e^x (-220-20 x+40 \log (2))+e^x (44+4 x) \log (2) \log (11+x)+\left(e^x \left(-220-240 x-20 x^2+\left(-44 x-48 x^2-4 x^3\right) \log (2)\right)+e^x \left(44+48 x+4 x^2\right) \log (2) \log (11+x)\right) \log \left(\frac{(1+x) \log (2)}{-5-x \log (2)+\log (2) \log (11+x)}\right)}{-55-60 x-5 x^2+\left(-11 x-12 x^2-x^3\right) \log (2)+\left(11+12 x+x^2\right) \log (2) \log (11+x)} \, dx","Integrate[(E^x*(-220 - 20*x + 40*Log[2]) + E^x*(44 + 4*x)*Log[2]*Log[11 + x] + (E^x*(-220 - 240*x - 20*x^2 + (-44*x - 48*x^2 - 4*x^3)*Log[2]) + E^x*(44 + 48*x + 4*x^2)*Log[2]*Log[11 + x])*Log[((1 + x)*Log[2])/(-5 - x*Log[2] + Log[2]*Log[11 + x])])/(-55 - 60*x - 5*x^2 + (-11*x - 12*x^2 - x^3)*Log[2] + (11 + 12*x + x^2)*Log[2]*Log[11 + x]),x]","4 e^x \log \left(\frac{(x+1) \log (2)}{x (-\log (2))+\log (2) \log (x+11)-5}\right)","4 e^x \log \left(\frac{x+1}{-x+\log (x+11)-\frac{5}{\log (2)}}\right)",1,"4*E^x*Log[((1 + x)*Log[2])/(-5 - x*Log[2] + Log[2]*Log[11 + x])]","A",1
3430,1,28,28,0.0880781,"\int \frac{-58 x+19 x^2+64 x^3+20 x^4+\left(4 x-3 x^2-x^3\right) \log (x)+\left(-40 x+30 x^3+10 x^4\right) \log \left(\frac{-8+8 x}{x}\right)}{-20+15 x^2+5 x^3} \, dx","Integrate[(-58*x + 19*x^2 + 64*x^3 + 20*x^4 + (4*x - 3*x^2 - x^3)*Log[x] + (-40*x + 30*x^3 + 10*x^4)*Log[(-8 + 8*x)/x])/(-20 + 15*x^2 + 5*x^3),x]","\frac{1}{5} x^2 \left(5 \log \left(8-\frac{8}{x}\right)-\frac{\log (x)}{x+2}+10\right)","x^2 \left(-\frac{\log (x)}{5 (x+2)}+\log \left(\frac{4 (2 x-2)}{x}\right)+2\right)",1,"(x^2*(10 + 5*Log[8 - 8/x] - Log[x]/(2 + x)))/5","A",1
3431,1,63,29,0.5135514,"\int \frac{\left(-36 x^2+36 x \log (x)\right) \log (x-\log (x))+\frac{e^x \left(-15+15 x+\left(-15 x-15 x^2+(15+15 x) \log (x)\right) \log (x-\log (x))\right)}{\log (x-\log (x))}}{e^x \left(15 x^2-60 x^4+\left(-15 x+60 x^3\right) \log (x)\right)+\frac{e^{2 x} \left(-25 x^3+25 x^2 \log (x)\right)}{\log (x-\log (x))}+\left(18 x^3-36 x^5+\left(-18 x^2+36 x^4\right) \log (x)\right) \log (x-\log (x))} \, dx","Integrate[((-36*x^2 + 36*x*Log[x])*Log[x - Log[x]] + (E^x*(-15 + 15*x + (-15*x - 15*x^2 + (15 + 15*x)*Log[x])*Log[x - Log[x]]))/Log[x - Log[x]])/(E^x*(15*x^2 - 60*x^4 + (-15*x + 60*x^3)*Log[x]) + (E^(2*x)*(-25*x^3 + 25*x^2*Log[x]))/Log[x - Log[x]] + (18*x^3 - 36*x^5 + (-18*x^2 + 36*x^4)*Log[x])*Log[x - Log[x]]),x]","3 \left(\frac{1}{3} \log \left(6 x^2 \log (x-\log (x))+5 e^x x-3 \log (x-\log (x))\right)-\frac{\log (x)}{3}-\frac{1}{3} \log \left(5 e^x+6 x \log (x-\log (x))\right)\right)","\log \left(5-\frac{3}{x \left(\frac{6 x}{5}+\frac{e^x}{\log (x-\log (x))}\right)}\right)",1,"3*(-1/3*Log[x] - Log[5*E^x + 6*x*Log[x - Log[x]]]/3 + Log[5*E^x*x - 3*Log[x - Log[x]] + 6*x^2*Log[x - Log[x]]]/3)","B",1
3432,1,152,37,0.2609502,"\int \frac{\left(-6+2 e^{5 x^2-e^x x^2}+60 x^2+e^x \left(-12 x^2-6 x^3\right)\right) \log \left(e^{-5 x^2+e^x x^2} \left(e^{5 x^2-e^x x^2} (-6-x)+3 x\right)\right)}{-3 x+e^{5 x^2-e^x x^2} (6+x)} \, dx","Integrate[((-6 + 2*E^(5*x^2 - E^x*x^2) + 60*x^2 + E^x*(-12*x^2 - 6*x^3))*Log[E^(-5*x^2 + E^x*x^2)*(E^(5*x^2 - E^x*x^2)*(-6 - x) + 3*x)])/(-3*x + E^(5*x^2 - E^x*x^2)*(6 + x)),x]","2 \left(\log \left(\left(3 e^{\left(e^x-5\right) x^2}-1\right) x-6\right) \left(\log \left(e^{5 x^2} (x+6)-3 e^{e^x x^2} x\right)-5 x^2\right)-\frac{1}{2} \left(5 x^2-\log \left(3 e^{e^x x^2} x-e^{5 x^2} (x+6)\right)\right) \left(5 x^2+\log \left(3 e^{e^x x^2} x-e^{5 x^2} (x+6)\right)-2 \log \left(e^{5 x^2} (x+6)-3 e^{e^x x^2} x\right)\right)\right)","\log ^2\left(\frac{3 e^{-\left(\left(5-e^x\right) x^2\right)} x^2-x^2-x}{x}-5\right)",1,"2*(-1/2*((5*x^2 - Log[3*E^(E^x*x^2)*x - E^(5*x^2)*(6 + x)])*(5*x^2 + Log[3*E^(E^x*x^2)*x - E^(5*x^2)*(6 + x)] - 2*Log[-3*E^(E^x*x^2)*x + E^(5*x^2)*(6 + x)])) + Log[-6 + (-1 + 3*E^((-5 + E^x)*x^2))*x]*(-5*x^2 + Log[-3*E^(E^x*x^2)*x + E^(5*x^2)*(6 + x)]))","B",1
3433,1,37,26,5.0532094,"\int \frac{1}{5} e^{\frac{1}{5} \left(-256 x^3-256 x^4-96 x^5-16 x^6-x^7\right)} \left(25+10 x-3840 x^3-5888 x^4-3424 x^5-960 x^6-131 x^7-7 x^8+e^{\frac{1}{5} \left(256 x^3+256 x^4+96 x^5+16 x^6+x^7\right)} (50+20 x)\right) \, dx","Integrate[(E^((-256*x^3 - 256*x^4 - 96*x^5 - 16*x^6 - x^7)/5)*(25 + 10*x - 3840*x^3 - 5888*x^4 - 3424*x^5 - 960*x^6 - 131*x^7 - 7*x^8 + E^((256*x^3 + 256*x^4 + 96*x^5 + 16*x^6 + x^7)/5)*(50 + 20*x)))/5,x]","e^{-\frac{1}{5} x^3 (x+4)^4} \left(2 e^{\frac{1}{5} x^3 (x+4)^4}+1\right) x (x+5)","(x+5) \left(e^{-\frac{1}{5} x^3 (x+4)^4} x+2 x\right)-4",1,"((1 + 2*E^((x^3*(4 + x)^4)/5))*x*(5 + x))/E^((x^3*(4 + x)^4)/5)","A",1
3434,1,45,28,0.6538456,"\int \frac{1}{2} e^{8-2 x} \left(64 x-112 x^2+40 x^3-4 x^4+e^{-4+x} \left(16-24 x+4 x^2\right)+3^{2 x} (-1+\log (3))+3^x \left(8-20 x+4 x^2+\left(8 x-2 x^2\right) \log (3)+e^{-4+x} (-2+2 \log (3))\right)\right) \, dx","Integrate[(E^(8 - 2*x)*(64*x - 112*x^2 + 40*x^3 - 4*x^4 + E^(-4 + x)*(16 - 24*x + 4*x^2) + 3^(2*x)*(-1 + Log[3]) + 3^x*(8 - 20*x + 4*x^2 + (8*x - 2*x^2)*Log[3] + E^(-4 + x)*(-2 + 2*Log[3]))))/2,x]","\frac{1}{4} e^{4-2 x} \left(-2 x^2+8 x+3^x\right) \left(e^4 \left(-2 x^2+8 x+3^x\right)+4 e^x\right)","\left(e^{4-x} \left(-x^2+4 x+\frac{3^x}{2}\right)+1\right)^2",1,"(E^(4 - 2*x)*(3^x + 8*x - 2*x^2)*(4*E^x + E^4*(3^x + 8*x - 2*x^2)))/4","A",1
3435,1,23,13,0.0029147,"\int \left(-\frac{320 e^{10}}{x^5}-\frac{320 e^5}{x^3}\right) \, dx","Integrate[(-320*E^10)/x^5 - (320*E^5)/x^3,x]","-320 e^5 \left(-\frac{e^5}{4 x^4}-\frac{1}{2 x^2}\right)","80 \left(\frac{e^5}{x^2}+1\right)^2",1,"-320*E^5*(-1/4*E^5/x^4 - 1/(2*x^2))","A",1
3436,1,22,22,0.850642,"\int \frac{e^{\frac{x+\log \left(1600-800 e^{10/x}+100 e^{20/x}\right)}{x}} \left(-20 e^{10/x}+\left(4 x-e^{10/x} x\right) \log \left(1600-800 e^{10/x}+100 e^{20/x}\right)\right)}{-4 x^3+e^{10/x} x^3} \, dx","Integrate[(E^((x + Log[1600 - 800*E^(10/x) + 100*E^(20/x)])/x)*(-20*E^(10/x) + (4*x - E^(10/x)*x)*Log[1600 - 800*E^(10/x) + 100*E^(20/x)]))/(-4*x^3 + E^(10/x)*x^3),x]","e 100^{\frac{1}{x}} \left(\left(e^{10/x}-4\right)^2\right)^{\frac{1}{x}}","e^{\frac{x+\log \left(100 \left(e^{10/x}-4\right)^2\right)}{x}}",1,"100^x^(-1)*E*((-4 + E^(10/x))^2)^x^(-1)","A",1
3437,1,8,8,0.0010463,"\int \frac{1}{e^3 (4+x)} \, dx","Integrate[1/(E^3*(4 + x)),x]","\frac{\log (x+4)}{e^3}","\frac{\log (x+4)}{e^3}",1,"Log[4 + x]/E^3","A",1
3438,1,26,27,0.0912626,"\int \frac{4 e^x x^3+e^{\frac{-4-3 x-x^2}{4 x^2}} (24+9 x)}{12 x^3} \, dx","Integrate[(4*E^x*x^3 + E^((-4 - 3*x - x^2)/(4*x^2))*(24 + 9*x))/(12*x^3),x]","e^{-\frac{1}{x^2}-\frac{3}{4 x}-\frac{1}{4}}+\frac{e^x}{3}","e^{\frac{x-(x+2)^2}{4 x^2}}+\frac{e^x}{3}+18",1,"E^(-1/4 - x^(-2) - 3/(4*x)) + E^x/3","A",1
3439,1,22,18,0.0027648,"\int \left(-16-16 x+e^{2+5 e^5} (4+4 x)\right) \, dx","Integrate[-16 - 16*x + E^(2 + 5*E^5)*(4 + 4*x),x]","4 \left(e^{2+5 e^5}-4\right) \left(\frac{x^2}{2}+x\right)","2 \left(e^{2+5 e^5}-4\right) (x+1)^2",1,"4*(-4 + E^(2 + 5*E^5))*(x + x^2/2)","A",1
3440,1,19,24,0.4087414,"\int \frac{e^{\frac{-4 x+x \log \left(\frac{e^{2 x}}{x^6}\right)}{\log \left(\frac{e^{2 x}}{x^6}\right)}} \left(-24+8 x-4 \log \left(\frac{e^{2 x}}{x^6}\right)+\log ^2\left(\frac{e^{2 x}}{x^6}\right)\right)}{\log ^2\left(\frac{e^{2 x}}{x^6}\right)} \, dx","Integrate[(E^((-4*x + x*Log[E^(2*x)/x^6])/Log[E^(2*x)/x^6])*(-24 + 8*x - 4*Log[E^(2*x)/x^6] + Log[E^(2*x)/x^6]^2))/Log[E^(2*x)/x^6]^2,x]","e^{x-\frac{4 x}{\log \left(\frac{e^{2 x}}{x^6}\right)}}","e^{x-\frac{4 x}{\log \left(\frac{e^{2 x}}{x^6}\right)}}+4+e^{25}",1,"E^(x - (4*x)/Log[E^(2*x)/x^6])","A",1
3441,1,30,28,0.093703,"\int \frac{e^{-\frac{-2 x-4 x^2}{5+20 x}} \left(10 x^6+82 x^7+168 x^8+16 x^9+e^{\frac{-2 x-4 x^2}{5+20 x}} \left(20+160 x+320 x^2+5 x^5+40 x^6+80 x^7\right)\right)}{5 x^5+40 x^6+80 x^7} \, dx","Integrate[(10*x^6 + 82*x^7 + 168*x^8 + 16*x^9 + E^((-2*x - 4*x^2)/(5 + 20*x))*(20 + 160*x + 320*x^2 + 5*x^5 + 40*x^6 + 80*x^7))/(E^((-2*x - 4*x^2)/(5 + 20*x))*(5*x^5 + 40*x^6 + 80*x^7)),x]","\frac{e^{\frac{2 x (2 x+1)}{20 x+5}} x^6+x^5-1}{x^4}","-\frac{1}{x^4}+e^{\frac{1}{5} \left(\frac{x}{4 x+1}+x\right)} x^2+x",1,"(-1 + x^5 + E^((2*x*(1 + 2*x))/(5 + 20*x))*x^6)/x^4","A",1
3442,1,19,25,0.2152335,"\int \frac{e^x (-12-12 x) \log (4)+e^x \left(-12+12 x+12 x^2\right) \log (4) \log (x)+e^x \left(-3+3 x+3 x^2\right) \log ^2(x)}{x^2 \log ^2(x)} \, dx","Integrate[(E^x*(-12 - 12*x)*Log[4] + E^x*(-12 + 12*x + 12*x^2)*Log[4]*Log[x] + E^x*(-3 + 3*x + 3*x^2)*Log[x]^2)/(x^2*Log[x]^2),x]","\frac{3 e^x (x+1) \log (256 x)}{x \log (x)}","\frac{3 e^x (2 x+2) \left(\frac{2 \log (4)}{\log (x)}+\frac{1}{2}\right)}{x}",1,"(3*E^x*(1 + x)*Log[256*x])/(x*Log[x])","A",1
3443,1,21,23,0.1434268,"\int \frac{6 x+3 x^2+\left(5-6 x-6 x^2-6 x^3-4 x^4\right) \log (x)+\left(6 x+6 x^2\right) \log (x) \log (\log (x))}{x \log (x)} \, dx","Integrate[(6*x + 3*x^2 + (5 - 6*x - 6*x^2 - 6*x^3 - 4*x^4)*Log[x] + (6*x + 6*x^2)*Log[x]*Log[Log[x]])/(x*Log[x]),x]","5 \log (x)-x (x+2) \left(x^2-3 \log (\log (x))+3\right)","x (x+2) \left(-x^2+3 \log (\log (x))-3\right)+5 \log (x)+6",1,"5*Log[x] - x*(2 + x)*(3 + x^2 - 3*Log[Log[x]])","A",1
3444,1,22,26,0.0855405,"\int \frac{1}{9} \left(1458 x+810 x^2+316 x^3+50 x^4+6 x^5+e^{2 x} \left(4 x^3+2 x^4\right)+e^x \left(-162 x^2-94 x^3-20 x^4-2 x^5\right)\right) \, dx","Integrate[(1458*x + 810*x^2 + 316*x^3 + 50*x^4 + 6*x^5 + E^(2*x)*(4*x^3 + 2*x^4) + E^x*(-162*x^2 - 94*x^3 - 20*x^4 - 2*x^5))/9,x]","\frac{1}{9} x^2 \left(x^2-\left(e^x-5\right) x+27\right)^2","\frac{1}{9} x^2 \left(-(x+4)^2+e^x x+3 x-11\right)^2",1,"(x^2*(27 - (-5 + E^x)*x + x^2)^2)/9","A",1
3445,1,102,25,0.0170454,"\int \frac{2-i \pi -x^2-\log \left(-4+3 e^5\right)}{-2 x+10 x^2-x^3+x \left(i \pi +\log \left(-4+3 e^5\right)\right)} \, dx","Integrate[(2 - I*Pi - x^2 - Log[-4 + 3*E^5])/(-2*x + 10*x^2 - x^3 + x*(I*Pi + Log[-4 + 3*E^5])),x]","-i \tan ^{-1}\left(\frac{\pi }{x^2-10 x+2-\log \left(3 e^5-4\right)}\right)+\frac{1}{2} \log \left(x^4-20 x^3+104 x^2-2 x^2 \log \left(3 e^5-4\right)-40 x+20 x \log \left(3 e^5-4\right)+\pi ^2+4+\log ^2\left(3 e^5-4\right)-4 \log \left(3 e^5-4\right)\right)-\log (x)","\log \left(-x+\frac{-2+i \pi +\log \left(3 e^5-4\right)}{x}+10\right)",1,"(-I)*ArcTan[Pi/(2 - 10*x + x^2 - Log[-4 + 3*E^5])] - Log[x] + Log[4 + Pi^2 - 40*x + 104*x^2 - 20*x^3 + x^4 - 4*Log[-4 + 3*E^5] + 20*x*Log[-4 + 3*E^5] - 2*x^2*Log[-4 + 3*E^5] + Log[-4 + 3*E^5]^2]/2","B",1
3446,1,20,22,0.0035861,"\int \frac{1}{5} \left(2 x+2 x \log (2)+e^{e^4} (x+x \log (2))+\left(4 x+4 x \log (2)+e^{e^4} (2 x+2 x \log (2))\right) \log (x)\right) \, dx","Integrate[(2*x + 2*x*Log[2] + E^E^4*(x + x*Log[2]) + (4*x + 4*x*Log[2] + E^E^4*(2*x + 2*x*Log[2]))*Log[x])/5,x]","\frac{1}{5} \left(2+e^{e^4}\right) x^2 (1+\log (2)) \log (x)","\frac{1}{5} x \left(e^{e^4} x+2 x\right) (1+\log (2)) \log (x)",1,"((2 + E^E^4)*x^2*(1 + Log[2])*Log[x])/5","A",1
3447,1,29,31,0.3564939,"\int \frac{e^{-x} \left(20+40 x+20 x^2+e^x \left(-20 x-32 x^2-16 x^3\right)+\left(-20 x-40 x^2-20 x^3\right) \log (x)+\left(-5-10 x-5 x^2+e^x \left(5 x+8 x^2+4 x^3\right)+\left(5 x+10 x^2+5 x^3\right) \log (x)\right) \log (\log (2))\right)}{5 x+10 x^2+5 x^3} \, dx","Integrate[(20 + 40*x + 20*x^2 + E^x*(-20*x - 32*x^2 - 16*x^3) + (-20*x - 40*x^2 - 20*x^3)*Log[x] + (-5 - 10*x - 5*x^2 + E^x*(5*x + 8*x^2 + 4*x^3) + (5*x + 10*x^2 + 5*x^3)*Log[x])*Log[Log[2]])/(E^x*(5*x + 10*x^2 + 5*x^3)),x]","\frac{1}{5} (\log (\log (2))-4) \left(4 x-\frac{1}{x+1}-5 e^{-x} \log (x)\right)","(4-\log (\log (2))) \left(-\frac{4 x}{5}+\frac{1}{5 (x+1)}+e^{-x} \log (x)\right)",1,"((4*x - (1 + x)^(-1) - (5*Log[x])/E^x)*(-4 + Log[Log[2]]))/5","A",1
3448,1,96,28,0.1710159,"\int \frac{-2400+160 x^2-2400 x^3-2 x^4+80 x^5+2 x^7-80 x^8+4 x^{10}+e^{-2 e^x+2 x} \left(-150+50 x-150 x^3+100 x^4+50 x^7+e^x \left(-50 x-100 x^4-50 x^7\right)\right)+e^{-e^x+x} \left(1200-200 x-40 x^2+1210 x^3-400 x^4-20 x^5+20 x^6-200 x^7+20 x^8+10 x^9+e^x \left(200 x-10 x^3+400 x^4-20 x^6+200 x^7-10 x^9\right)\right)}{x^7} \, dx","Integrate[(-2400 + 160*x^2 - 2400*x^3 - 2*x^4 + 80*x^5 + 2*x^7 - 80*x^8 + 4*x^10 + E^(-2*E^x + 2*x)*(-150 + 50*x - 150*x^3 + 100*x^4 + 50*x^7 + E^x*(-50*x - 100*x^4 - 50*x^7)) + E^(-E^x + x)*(1200 - 200*x - 40*x^2 + 1210*x^3 - 400*x^4 - 20*x^5 + 20*x^6 - 200*x^7 + 20*x^8 + 10*x^9 + E^x*(200*x - 10*x^3 + 400*x^4 - 20*x^6 + 200*x^7 - 10*x^9)))/x^7,x]","-2 \left(-\frac{200}{x^6}-\frac{x^4}{2}+\frac{20}{x^4}-\frac{400}{x^3}+20 x^2-\frac{1}{2 x^2}-\frac{25 e^{2 x-2 e^x} \left(x^3+1\right)^2}{2 x^6}-\frac{5 e^{x-e^x} \left(x^2-20\right) \left(x^3+1\right)^2}{x^6}-x+\frac{40}{x}\right)","\left(\frac{1}{x^2}+x\right)^2 \left(\frac{5 \left(e^{x-e^x}-4\right)}{x}+x\right)^2",1,"-2*(-200/x^6 + 20/x^4 - 400/x^3 - 1/(2*x^2) + 40/x - x + 20*x^2 - x^4/2 - (25*E^(-2*E^x + 2*x)*(1 + x^3)^2)/(2*x^6) - (5*E^(-E^x + x)*(-20 + x^2)*(1 + x^3)^2)/x^6)","B",1
3449,1,102,28,0.0375277,"\int \frac{\left(-29 x-5 e^{16} x+5 x^2\right) \log (x)+\left(24+5 e^{16}-5 x\right) \log \left(\frac{1}{5} \left(-24-5 e^{16}+5 x\right)\right)}{72 x+15 e^{16} x-15 x^2} \, dx","Integrate[((-29*x - 5*E^16*x + 5*x^2)*Log[x] + (24 + 5*E^16 - 5*x)*Log[(-24 - 5*E^16 + 5*x)/5])/(72*x + 15*E^16*x - 15*x^2),x]","\frac{1}{3} \left(-\text{Li}_2\left(\frac{-5 x+5 e^{16}+24}{24+5 e^{16}}\right)+\text{Li}_2\left(-\frac{5 \left(x-e^{16}-\frac{24}{5}\right)}{24+5 e^{16}}\right)+x+x (-\log (x))+\log \left(\frac{24}{5}+e^{16}\right) \log \left(-5 x+5 e^{16}+24\right)+\log \left(\frac{x}{\frac{24}{5}+e^{16}}\right) \log \left(x-e^{16}-\frac{24}{5}\right)\right)","\frac{1}{3} \left(x+\log (x) \left(\log \left(x-e^{16}-\frac{24}{5}\right)-x\right)\right)+\frac{1}{4}",1,"(x + Log[24/5 + E^16]*Log[24 + 5*E^16 - 5*x] - x*Log[x] + Log[x/(24/5 + E^16)]*Log[-24/5 - E^16 + x] - PolyLog[2, (24 + 5*E^16 - 5*x)/(24 + 5*E^16)] + PolyLog[2, (-5*(-24/5 - E^16 + x))/(24 + 5*E^16)])/3","C",1
3450,1,43,28,0.1659434,"\int \frac{\exp \left(\exp \left(4+256 x^2+e^{e^4} x^2+256 x^3+96 x^4+16 x^5+x^6\right)\right) \left(2+\exp \left(4+256 x^2+e^{e^4} x^2+256 x^3+96 x^4+16 x^5+x^6\right) \left(-1024 x^2-1024 x^3+224 x^5+68 x^6+6 x^7+e^{e^4} \left(-4 x^2+2 x^3\right)\right)\right)}{x^2} \, dx","Integrate[(E^E^(4 + 256*x^2 + E^E^4*x^2 + 256*x^3 + 96*x^4 + 16*x^5 + x^6)*(2 + E^(4 + 256*x^2 + E^E^4*x^2 + 256*x^3 + 96*x^4 + 16*x^5 + x^6)*(-1024*x^2 - 1024*x^3 + 224*x^5 + 68*x^6 + 6*x^7 + E^E^4*(-4*x^2 + 2*x^3))))/x^2,x]","\left(1-\frac{2}{x}\right) \exp \left(\exp \left(x^6+16 x^5+96 x^4+256 x^3+\left(256+e^{e^4}\right) x^2+4\right)\right)","\frac{e^{e^{\left((x+4)^4+e^{e^4}\right) x^2+4}} (x-2)}{x}",1,"E^E^(4 + (256 + E^E^4)*x^2 + 256*x^3 + 96*x^4 + 16*x^5 + x^6)*(1 - 2/x)","A",1
3451,1,24,28,0.3236618,"\int \frac{-7+e^x-4 x-\log (4)+\left(7-e^x+x-4 x^2+(1-x) \log (4)\right) \log (x)}{\left(-7 x+e^x x-4 x^2-x \log (4)\right) \log (x)} \, dx","Integrate[(-7 + E^x - 4*x - Log[4] + (7 - E^x + x - 4*x^2 + (1 - x)*Log[4])*Log[x])/((-7*x + E^x*x - 4*x^2 - x*Log[4])*Log[x]),x]","x-\log (x)-\log \left(4 x-e^x+7+\log (4)\right)+\log (\log (x))","\log \left(\frac{e^x \log (x)}{x^2+x+\frac{1}{4} x \left(-e^x+3+\log (4)\right)}\right)",1,"x - Log[x] - Log[7 - E^x + 4*x + Log[4]] + Log[Log[x]]","A",1
3452,1,56,30,0.0449722,"\int \frac{4-49 x-52 x^2+111 x^3-2 x^4-15 x^5+2 x^6+(-1-2 x) \log (1+2 x)}{-3-7 x-29 x^2-45 x^3+21 x^4+5 x^5-2 x^6+(1+2 x) \log (1+2 x)} \, dx","Integrate[(4 - 49*x - 52*x^2 + 111*x^3 - 2*x^4 - 15*x^5 + 2*x^6 + (-1 - 2*x)*Log[1 + 2*x])/(-3 - 7*x - 29*x^2 - 45*x^3 + 21*x^4 + 5*x^5 - 2*x^6 + (1 + 2*x)*Log[1 + 2*x]),x]","\log \left((2 x+1)^5-11 (2 x+1)^4-2 (2 x+1)^3+278 (2 x+1)^2-495 (2 x+1)-32 \log (2 x+1)+325\right)-x","\log \left(\log (2 x+1)-(x+3) \left(\left(3 x-x^2\right)^2+1\right)\right)-x",1,"-x + Log[325 - 495*(1 + 2*x) + 278*(1 + 2*x)^2 - 2*(1 + 2*x)^3 - 11*(1 + 2*x)^4 + (1 + 2*x)^5 - 32*Log[1 + 2*x]]","A",1
3453,1,17,20,0.0408693,"\int \frac{-1-x^2+e^{256+32 x+x^2} \left(1-32 x-2 x^2\right)}{x^2} \, dx","Integrate[(-1 - x^2 + E^(256 + 32*x + x^2)*(1 - 32*x - 2*x^2))/x^2,x]","-\frac{x^2+e^{(x+16)^2}-1}{x}","\frac{-x^2-e^{(x+16)^2}+1}{x}",1,"-((-1 + E^(16 + x)^2 + x^2)/x)","A",1
3454,1,25,27,0.473328,"\int \frac{-120-120 e^2+e^{e^{3 x^2}} \left(-24-24 e^2-288 e^{3 x^2} x\right)}{125 e^{x+e^2 x}+75 e^{e^{3 x^2}+x+e^2 x}+15 e^{2 e^{3 x^2}+x+e^2 x}+e^{3 e^{3 x^2}+x+e^2 x}} \, dx","Integrate[(-120 - 120*E^2 + E^E^(3*x^2)*(-24 - 24*E^2 - 288*E^(3*x^2)*x))/(125*E^(x + E^2*x) + 75*E^(E^(3*x^2) + x + E^2*x) + 15*E^(2*E^(3*x^2) + x + E^2*x) + E^(3*E^(3*x^2) + x + E^2*x)),x]","\frac{24 e^{-\left(\left(1+e^2\right) x\right)}}{\left(e^{e^{3 x^2}}+5\right)^2}","\frac{24 e^{-e^2 x-x}}{\left(e^{e^{3 x^2}}+5\right)^2}",1,"24/(E^((1 + E^2)*x)*(5 + E^E^(3*x^2))^2)","A",1
3455,1,19,19,0.0009861,"\int \frac{1}{29} \left(-60-29 e^5+29 x\right) \, dx","Integrate[(-60 - 29*E^5 + 29*x)/29,x]","\frac{x^2}{2}-e^5 x-\frac{60 x}{29}","\frac{1}{2} \left(x-\frac{120}{29}\right) x-e^5 (x+21)",1,"(-60*x)/29 - E^5*x + x^2/2","A",1
3456,1,26,25,0.5098719,"\int \frac{48 \log (2)+e^x (16-16 x) \log ^2(2)+4 x^2 \log ^2(2)}{144-192 x+64 x^2+\left(-24 x^2+16 x^3\right) \log (2)+16 e^{2 x} \log ^2(2)+x^4 \log ^2(2)+e^x \left((96-64 x) \log (2)-8 x^2 \log ^2(2)\right)} \, dx","Integrate[(48*Log[2] + E^x*(16 - 16*x)*Log[2]^2 + 4*x^2*Log[2]^2)/(144 - 192*x + 64*x^2 + (-24*x^2 + 16*x^3)*Log[2] + 16*E^(2*x)*Log[2]^2 + x^4*Log[2]^2 + E^x*((96 - 64*x)*Log[2] - 8*x^2*Log[2]^2)),x]","\frac{4 x \log (2)}{x^2 (-\log (2))-8 x+4 e^x \log (2)+12}","\frac{x}{-\frac{x^2}{4}+e^x+\frac{3-2 x}{\log (2)}}",1,"(4*x*Log[2])/(12 - 8*x + 4*E^x*Log[2] - x^2*Log[2])","A",1
3457,1,2,6,0.0001804,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log (5 x)+2",1,"Log[x]","A",1
3458,1,27,29,0.0531671,"\int \frac{1}{9} \left(432-1056 x+564 x^2-32 x^3-20 x^4+e^{x^2} \left(144-360 x+288 x^2-72 x^3\right)\right) \, dx","Integrate[(432 - 1056*x + 564*x^2 - 32*x^3 - 20*x^4 + E^x^2*(144 - 360*x + 288*x^2 - 72*x^3))/9,x]","-\frac{4}{9} (x-2)^2 \left(x \left(x^2+6 x-27\right)+9 e^{x^2}\right)","(2 x-4)^2 \left(x \left(4-\frac{1}{9} (x+3)^2\right)-e^{x^2}\right)",1,"(-4*(-2 + x)^2*(9*E^x^2 + x*(-27 + 6*x + x^2)))/9","A",1
3459,1,24,16,0.0093439,"\int \frac{-3 x^2+3 x^4}{\left(1-6 x^2-2 x^3+9 x^4+6 x^5+x^6\right) \log ^2(4)} \, dx","Integrate[(-3*x^2 + 3*x^4)/((1 - 6*x^2 - 2*x^3 + 9*x^4 + 6*x^5 + x^6)*Log[4]^2),x]","\frac{1-3 x^2}{\left(x^3+3 x^2-1\right) \log ^2(4)}","\frac{x}{\left(-\frac{1}{x^2}+x+3\right) \log ^2(4)}",1,"(1 - 3*x^2)/((-1 + 3*x^2 + x^3)*Log[4]^2)","A",1
3460,1,23,21,0.1496827,"\int \frac{24 x^2 \log (x)+\left(-12 x^2-24 x^2 \log (x)\right) \log \left(x^2\right)-6 \log ^2\left(x^2\right)}{4 x^5 \log ^2(x)+4 x^3 \log ^2(x) \log \left(x^2\right)+x \log ^2(x) \log ^2\left(x^2\right)} \, dx","Integrate[(24*x^2*Log[x] + (-12*x^2 - 24*x^2*Log[x])*Log[x^2] - 6*Log[x^2]^2)/(4*x^5*Log[x]^2 + 4*x^3*Log[x]^2*Log[x^2] + x*Log[x]^2*Log[x^2]^2),x]","\frac{6 \log \left(x^2\right)}{2 x^2 \log (x)+\log (x) \log \left(x^2\right)}","\frac{6}{\log (x) \left(\frac{2 x^2}{\log \left(x^2\right)}+1\right)}",1,"(6*Log[x^2])/(2*x^2*Log[x] + Log[x]*Log[x^2])","A",1
3461,1,152,24,0.2641668,"\int \left(-7290 x^{10}+8748 x^{11}+e^{16} \left(-7290 x^6+5832 x^7\right)+e^{12} \left(29160 x^7-26244 x^8\right)+e^8 \left(-43740 x^8+43740 x^9\right)+e^4 \left(29160 x^9-32076 x^{10}\right)+\left(36450 x^9-80190 x^{10}+e^{16} \left(36450 x^5-51030 x^6\right)+e^{12} \left(-145800 x^6+233280 x^7\right)+e^8 \left(218700 x^7-393660 x^8\right)+e^4 \left(-145800 x^8+291600 x^9\right)\right) \log (x)+\left(109350 e^{16} x^5-510300 e^{12} x^6+874800 e^8 x^7-656100 e^4 x^8+182250 x^9\right) \log ^2(x)\right) \, dx","Integrate[-7290*x^10 + 8748*x^11 + E^16*(-7290*x^6 + 5832*x^7) + E^12*(29160*x^7 - 26244*x^8) + E^8*(-43740*x^8 + 43740*x^9) + E^4*(29160*x^9 - 32076*x^10) + (36450*x^9 - 80190*x^10 + E^16*(36450*x^5 - 51030*x^6) + E^12*(-145800*x^6 + 233280*x^7) + E^8*(218700*x^7 - 393660*x^8) + E^4*(-145800*x^8 + 291600*x^9))*Log[x] + (109350*E^16*x^5 - 510300*E^12*x^6 + 874800*E^8*x^7 - 656100*E^4*x^8 + 182250*x^9)*Log[x]^2,x]","1458 \left(\frac{x^{12}}{2}-2 e^4 x^{11}-5 x^{11} \log (x)+3 e^8 x^{10}+\frac{25}{2} x^{10} \log ^2(x)+20 e^4 x^{10} \log (x)-2 e^{12} x^9-50 e^4 x^9 \log ^2(x)-30 e^8 x^9 \log (x)+\frac{e^{16} x^8}{2}+75 e^8 x^8 \log ^2(x)+20 e^{12} x^8 \log (x)-50 e^{12} x^7 \log ^2(x)-5 e^{16} x^7 \log (x)+\frac{25}{2} e^{16} x^6 \log ^2(x)\right)","729 \left(x-e^4\right)^4 x^6 (x-5 \log (x))^2+1",1,"1458*((E^16*x^8)/2 - 2*E^12*x^9 + 3*E^8*x^10 - 2*E^4*x^11 + x^12/2 - 5*E^16*x^7*Log[x] + 20*E^12*x^8*Log[x] - 30*E^8*x^9*Log[x] + 20*E^4*x^10*Log[x] - 5*x^11*Log[x] + (25*E^16*x^6*Log[x]^2)/2 - 50*E^12*x^7*Log[x]^2 + 75*E^8*x^8*Log[x]^2 - 50*E^4*x^9*Log[x]^2 + (25*x^10*Log[x]^2)/2)","B",1
3462,1,13,19,0.0464447,"\int \frac{1+e^x (1-x)-e^x x^2 \log (x)}{x} \, dx","Integrate[(1 + E^x*(1 - x) - E^x*x^2*Log[x])/x,x]","\log (x)-e^x (x-1) \log (x)","-e^x (x-1) \log (x)+\log (x)-5 e^3+2",1,"Log[x] - E^x*(-1 + x)*Log[x]","A",1
3463,1,22,20,0.1755328,"\int \frac{1+x+\left(-4 x+e^{2 x} \left(2 x+4 x^2+2 x^3\right)\right) \log (x)-x \log (x) \log (\log (x))}{\left(x+2 x^2+x^3\right) \log (x)} \, dx","Integrate[(1 + x + (-4*x + E^(2*x)*(2*x + 4*x^2 + 2*x^3))*Log[x] - x*Log[x]*Log[Log[x]])/((x + 2*x^2 + x^3)*Log[x]),x]","e^{2 x}+\frac{4}{x+1}+\frac{\log (\log (x))}{x+1}","e^{2 x}+\frac{2 x+\log (\log (x))+6}{x+1}",1,"E^(2*x) + 4/(1 + x) + Log[Log[x]]/(1 + x)","A",1
3464,1,21,21,0.9211371,"\int \frac{e^{-\frac{5 x}{-3+4 e^{8-2 x} x^4}} \left(15+e^{8-2 x} \left(60 x^4-40 x^5\right)\right)}{9-24 e^{8-2 x} x^4+16 e^{16-4 x} x^8} \, dx","Integrate[(15 + E^(8 - 2*x)*(60*x^4 - 40*x^5))/(E^((5*x)/(-3 + 4*E^(8 - 2*x)*x^4))*(9 - 24*E^(8 - 2*x)*x^4 + 16*E^(16 - 4*x)*x^8)),x]","e^{-\frac{5 x}{4 e^{8-2 x} x^4-3}}","e^{\frac{5 x}{3-4 e^{8-2 x} x^4}}",1,"E^((-5*x)/(-3 + 4*E^(8 - 2*x)*x^4))","A",1
3465,1,44,26,0.1268726,"\int \frac{\exp \left(\frac{1024 x^2+17408 x^3+114368 x^4+364256 x^5+578769 x^6+432496 x^7+151036 x^8+23566 x^9+1812 x^{10}+68 x^{11}+x^{12}}{256+4096 x+24832 x^2+68608 x^3+77920 x^4+17152 x^5+1552 x^6+64 x^7+x^8}\right) \left(4096+81920 x+693248 x^2+3407872 x^3+11917824 x^4+34328064 x^5+78478560 x^6+118319872 x^7+97752008 x^8+40329056 x^9+7831044 x^{10}+802040 x^{11}+45152 x^{12}+1328 x^{13}+16 x^{14}\right)}{1024+20480 x+165120 x^2+675840 x^3+1434240 x^4+1383936 x^5+358560 x^6+42240 x^7+2580 x^8+80 x^9+x^{10}} \, dx","Integrate[(E^((1024*x^2 + 17408*x^3 + 114368*x^4 + 364256*x^5 + 578769*x^6 + 432496*x^7 + 151036*x^8 + 23566*x^9 + 1812*x^10 + 68*x^11 + x^12)/(256 + 4096*x + 24832*x^2 + 68608*x^3 + 77920*x^4 + 17152*x^5 + 1552*x^6 + 64*x^7 + x^8))*(4096 + 81920*x + 693248*x^2 + 3407872*x^3 + 11917824*x^4 + 34328064*x^5 + 78478560*x^6 + 118319872*x^7 + 97752008*x^8 + 40329056*x^9 + 7831044*x^10 + 802040*x^11 + 45152*x^12 + 1328*x^13 + 16*x^14))/(1024 + 20480*x + 165120*x^2 + 675840*x^3 + 1434240*x^4 + 1383936*x^5 + 358560*x^6 + 42240*x^7 + 2580*x^8 + 80*x^9 + x^10),x]","4 x \exp \left(\frac{x^2 \left(x^5+34 x^4+328 x^3+631 x^2+272 x+32\right)^2}{\left(x^2+16 x+4\right)^4}\right)","4 e^{x^2 \left(x-\frac{25}{\left(x+\frac{4}{x}+16\right)^2}+2\right)^2} x",1,"4*E^((x^2*(32 + 272*x + 631*x^2 + 328*x^3 + 34*x^4 + x^5)^2)/(4 + 16*x + x^2)^4)*x","A",1
3466,1,21,19,0.0384166,"\int \frac{-10-30 x+20 x^2-10 x \log (2)}{375 x+675 x^2+180 x^3-189 x^4-36 x^5+27 x^6-3 x^7+\left(225 x^2+270 x^3-9 x^4-54 x^5+9 x^6\right) \log (2)+\left(45 x^3+27 x^4-9 x^5\right) \log ^2(2)+3 x^4 \log ^3(2)+\left(225 x+270 x^2-9 x^3-54 x^4+9 x^5+\left(90 x^2+54 x^3-18 x^4\right) \log (2)+9 x^3 \log ^2(2)\right) \log (x)+\left(45 x+27 x^2-9 x^3+9 x^2 \log (2)\right) \log ^2(x)+3 x \log ^3(x)} \, dx","Integrate[(-10 - 30*x + 20*x^2 - 10*x*Log[2])/(375*x + 675*x^2 + 180*x^3 - 189*x^4 - 36*x^5 + 27*x^6 - 3*x^7 + (225*x^2 + 270*x^3 - 9*x^4 - 54*x^5 + 9*x^6)*Log[2] + (45*x^3 + 27*x^4 - 9*x^5)*Log[2]^2 + 3*x^4*Log[2]^3 + (225*x + 270*x^2 - 9*x^3 - 54*x^4 + 9*x^5 + (90*x^2 + 54*x^3 - 18*x^4)*Log[2] + 9*x^3*Log[2]^2)*Log[x] + (45*x + 27*x^2 - 9*x^3 + 9*x^2*Log[2])*Log[x]^2 + 3*x*Log[x]^3),x]","\frac{5}{3 \left(-x^2+x (3+\log (2))+\log (x)+5\right)^2}","\frac{5}{3 (x (-x+3+\log (2))+\log (x)+5)^2}",1,"5/(3*(5 - x^2 + x*(3 + Log[2]) + Log[x])^2)","A",1
3467,1,137,32,0.0537741,"\int \frac{65536+256 e^2-98304 x^4+65536 x^6-12288 x^8+e \left(-8192+2048 x^4\right)+e^2 \left(-16384 x+24576 x^3-12288 x^5+2048 x^7+e \left(1024 x-512 x^3\right)\right)}{e^6-24 e^4 x+192 e^2 x^2-512 x^3} \, dx","Integrate[(65536 + 256*E^2 - 98304*x^4 + 65536*x^6 - 12288*x^8 + E*(-8192 + 2048*x^4) + E^2*(-16384*x + 24576*x^3 - 12288*x^5 + 2048*x^7 + E*(1024*x - 512*x^3)))/(E^6 - 24*E^4*x + 192*E^2*x^2 - 512*x^3),x]","-\frac{2097152 e \left(x^4+4\right)-65536 e^5 \left(3 x^2-2\right)-24576 e^8 \left(5 x^2-6\right)+64 e^{12} \left(7 x^2-30\right)+1048576 e^4 \left(9 x^2-2\right)-4194304 \left(x^8-8 x^6+24 x^4+16\right)-112 e^{14} x+30720 e^{10} x+49152 e^7 x-2359296 e^6 x-2097152 e^3 x+262144 e^2 (128 x-1)+7 e^{16}-3072 e^9}{16384 \left(e^2-8 x\right)^2}","\frac{4 \left(\frac{e}{4}-\left(2-x^2\right)^2\right)^2}{\left(x-\frac{e^2}{8}\right)^2}",1,"-1/16384*(-3072*E^9 + 7*E^16 - 2097152*E^3*x - 2359296*E^6*x + 49152*E^7*x + 30720*E^10*x - 112*E^14*x + 262144*E^2*(-1 + 128*x) - 65536*E^5*(-2 + 3*x^2) - 24576*E^8*(-6 + 5*x^2) + 64*E^12*(-30 + 7*x^2) + 1048576*E^4*(-2 + 9*x^2) + 2097152*E*(4 + x^4) - 4194304*(16 + 24*x^4 - 8*x^6 + x^8))/(E^2 - 8*x)^2","B",1
3468,1,24,23,0.3662622,"\int \frac{5 e^2+e^{1+\frac{8+x^2+4 x^4}{x}} \left(40-5 x^2-60 x^4\right)}{e^2+2 e^{1+\frac{8+x^2+4 x^4}{x}} x+e^{\frac{2 \left(8+x^2+4 x^4\right)}{x}} x^2} \, dx","Integrate[(5*E^2 + E^(1 + (8 + x^2 + 4*x^4)/x)*(40 - 5*x^2 - 60*x^4))/(E^2 + 2*E^(1 + (8 + x^2 + 4*x^4)/x)*x + E^((2*(8 + x^2 + 4*x^4))/x)*x^2),x]","\frac{5 e x}{e^{4 x^3+x+\frac{8}{x}} x+e}","\frac{5}{e^{\frac{4 \left(x^4+2\right)}{x}+x-1}+\frac{1}{x}}",1,"(5*E*x)/(E + E^(8/x + x + 4*x^3)*x)","A",1
3469,1,19,11,0.0287506,"\int \frac{\log (-x)-\log (2 x)}{x \log ^2(-x)} \, dx","Integrate[(Log[-x] - Log[2*x])/(x*Log[-x]^2),x]","-\frac{\log (-x)-\log (2 x)}{\log (-x)}","\frac{\log (2 x)}{\log (-x)}",1,"-((Log[-x] - Log[2*x])/Log[-x])","A",1
3470,1,18,20,0.0102497,"\int \frac{-5+e^4 (-6-3 x) x}{15+5 x+e^4 x \left(3 x+x^2\right)} \, dx","Integrate[(-5 + E^4*(-6 - 3*x)*x)/(15 + 5*x + E^4*x*(3*x + x^2)),x]","-\log \left(e^4 (x+3) x^2+5 x+15\right)","\log \left(\frac{2}{(x+3) \left(-e^4 x^2-5\right)}\right)",1,"-Log[15 + 5*x + E^4*x^2*(3 + x)]","A",1
3471,1,43,26,0.1894596,"\int \frac{6-2 x-6 x^2+2 e^3 x^2+4 x^3+\left(-6-x+e^3 x+2 x^2\right) \log (x)+\left(4 x^2+2 x \log (x)\right) \log \left(\frac{2 x}{2 x+\log (x)}\right)}{4 x^2+2 x \log (x)} \, dx","Integrate[(6 - 2*x - 6*x^2 + 2*E^3*x^2 + 4*x^3 + (-6 - x + E^3*x + 2*x^2)*Log[x] + (4*x^2 + 2*x*Log[x])*Log[(2*x)/(2*x + Log[x])])/(4*x^2 + 2*x*Log[x]),x]","\frac{1}{2} \left(x^2+\left(e^3-3\right) x+2 x \log \left(\frac{2 x}{2 x+\log (x)}\right)-6 \log (x)+6 \log (2 x+\log (x))\right)","(x-3) \left(\frac{1}{2} \left(x+e^3\right)+\log \left(\frac{2 x}{2 x+\log (x)}\right)\right)",1,"((-3 + E^3)*x + x^2 - 6*Log[x] + 2*x*Log[(2*x)/(2*x + Log[x])] + 6*Log[2*x + Log[x]])/2","A",1
3472,1,27,27,0.1752966,"\int \frac{e^{-2 x^2} \left(6 x-24 x^3-4 x^4+e^{2 x^2} \left(36 x^2+12 x^3+x^4\right)+e^{2 x^2} \left(-36-12 x-x^2\right) \log \left(\frac{55}{4} e^{\frac{e^{-2 x^2} x}{6+x}}\right)\right)}{36 x^2+12 x^3+x^4} \, dx","Integrate[(6*x - 24*x^3 - 4*x^4 + E^(2*x^2)*(36*x^2 + 12*x^3 + x^4) + E^(2*x^2)*(-36 - 12*x - x^2)*Log[(55*E^(x/(E^(2*x^2)*(6 + x))))/4])/(E^(2*x^2)*(36*x^2 + 12*x^3 + x^4)),x]","\frac{\log \left(\frac{55}{4} e^{\frac{e^{-2 x^2} x}{x+6}}\right)}{x}+x","\frac{\log \left(\frac{55}{4} e^{\frac{e^{-2 x^2} x}{x+6}}\right)}{x}+x",1,"x + Log[(55*E^(x/(E^(2*x^2)*(6 + x))))/4]/x","A",1
3473,1,29,29,0.0661681,"\int e^{4 e^x+e^5 x^2} \left(4 e^{5+x}+2 e^{10} x+\left(-4 e^x-2 e^5 x\right) \log ^2(1+\log (4))\right) \, dx","Integrate[E^(4*E^x + E^5*x^2)*(4*E^(5 + x) + 2*E^10*x + (-4*E^x - 2*E^5*x)*Log[1 + Log[4]]^2),x]","e^{e^5 x^2+4 e^x} \left(e^5-\log ^2(1+\log (4))\right)","e^{e^5 x^2+4 e^x} \left(e^5-\log ^2(1+\log (4))\right)",1,"E^(4*E^x + E^5*x^2)*(E^5 - Log[1 + Log[4]]^2)","A",1
3474,1,32,32,0.0925483,"\int \frac{e^x x-2 x^2-\log \left(\frac{3}{2 x}\right)+\left(-1-8 x^2+2 x^3+e^x \left(2 x+x^2\right)+x \log \left(\frac{3}{2 x}\right)\right) \log (x)+x \log ^2(x)}{\left(-e^x x^2+2 x^3+x \log \left(\frac{3}{2 x}\right)\right) \log (x)+x \log ^2(x)} \, dx","Integrate[(E^x*x - 2*x^2 - Log[3/(2*x)] + (-1 - 8*x^2 + 2*x^3 + E^x*(2*x + x^2) + x*Log[3/(2*x)])*Log[x] + x*Log[x]^2)/((-(E^x*x^2) + 2*x^3 + x*Log[3/(2*x)])*Log[x] + x*Log[x]^2),x]","-2 \log \left(2 x^2-e^x x+\log \left(\frac{3}{2 x}\right)+\log (x)\right)+x-\log (\log (x))","x-\log \left(\log (x) \left(x \left(2 x-e^x\right)+\log \left(\frac{3}{2 x}\right)+\log (x)\right)^2\right)",1,"x - Log[Log[x]] - 2*Log[-(E^x*x) + 2*x^2 + Log[3/(2*x)] + Log[x]]","A",1
3475,1,18,19,0.0896939,"\int \frac{4 e-6 x+\left(-3 e x+3 x^2\right) \log ^3\left(e x^2-x^3\right)}{\left(e x-x^2\right) \log ^3\left(e x^2-x^3\right)} \, dx","Integrate[(4*E - 6*x + (-3*E*x + 3*x^2)*Log[E*x^2 - x^3]^3)/((E*x - x^2)*Log[E*x^2 - x^3]^3),x]","-\frac{1}{\log ^2\left((e-x) x^2\right)}-3 x","-\frac{1}{\log ^2\left((e-x) x^2\right)}-3 x+2",1,"-3*x - Log[(E - x)*x^2]^(-2)","A",1
3476,1,27,22,0.0496292,"\int \frac{e^{-e^5} \left(5 e^x+e^{e^5} \left(2+4 x^2\right)+5 e^x x \log (x)\right)}{2 x} \, dx","Integrate[(5*E^x + E^E^5*(2 + 4*x^2) + 5*E^x*x*Log[x])/(2*E^E^5*x),x]","\frac{1}{2} \left(2 x^2+5 e^{x-e^5} \log (x)+2 \log (x)\right)","x^2+\frac{5}{2} e^{x-e^5} \log (x)+\log (x)+2",1,"(2*x^2 + 2*Log[x] + 5*E^(-E^5 + x)*Log[x])/2","A",1
3477,1,67,25,0.0569669,"\int \frac{1}{5} \left(3872+5368 x+648 x^2-144 x^3+\left(-2904-3696 x-792 x^2\right) \log (x)+\left(484+528 x+108 x^2\right) \log ^2(x)\right) \, dx","Integrate[(3872 + 5368*x + 648*x^2 - 144*x^3 + (-2904 - 3696*x - 792*x^2)*Log[x] + (484 + 528*x + 108*x^2)*Log[x]^2)/5,x]","-\frac{4}{5} \left(9 x^4-78 x^3-9 x^3 \log ^2(x)+72 x^3 \log (x)-935 x^2-66 x^2 \log ^2(x)+528 x^2 \log (x)-1936 x-121 x \log ^2(x)+968 x \log (x)\right)","\frac{1}{5} x (x+5 (x+4)+2)^2 \left((\log (x)-4)^2-x\right)",1,"(-4*(-1936*x - 935*x^2 - 78*x^3 + 9*x^4 + 968*x*Log[x] + 528*x^2*Log[x] + 72*x^3*Log[x] - 121*x*Log[x]^2 - 66*x^2*Log[x]^2 - 9*x^3*Log[x]^2))/5","B",1
3478,1,16,14,0.0027944,"\int \frac{-6 e^{22}+25 e^4 x}{x^7} \, dx","Integrate[(-6*E^22 + 25*E^4*x)/x^7,x]","\frac{e^{22}}{x^6}-\frac{5 e^4}{x^5}","\frac{e^4 \left(e^{18}-5 x\right)}{x^6}",1,"E^22/x^6 - (5*E^4)/x^5","A",1
3479,1,33,30,0.0417741,"\int \frac{2+2 x+2 x^2+(1+x) \log \left(\frac{e^{2 x} x^2}{100+200 x+100 x^2+e^3 \left(-40-80 x-40 x^2\right)+e^6 \left(4+8 x+4 x^2\right)}\right)}{2+2 x} \, dx","Integrate[(2 + 2*x + 2*x^2 + (1 + x)*Log[(E^(2*x)*x^2)/(100 + 200*x + 100*x^2 + E^3*(-40 - 80*x - 40*x^2) + E^6*(4 + 8*x + 4*x^2))])/(2 + 2*x),x]","\frac{1}{2} \left(x \log \left(\frac{e^{2 x} x^2}{4 \left(e^3-5\right)^2 (x+1)^2}\right)+1\right)","\frac{1}{2} x \log \left(\frac{e^{2 x} x^2}{4 \left(e^3-5\right)^2 (x+1)^2}\right)",1,"(1 + x*Log[(E^(2*x)*x^2)/(4*(-5 + E^3)^2*(1 + x)^2)])/2","A",1
3480,1,74,33,0.8135099,"\int \frac{3 x+x^2+\left(6 x+2 x^2\right) \log \left(\frac{3+x}{4}\right)+\left(3 x+x^2\right) \log ^2\left(\frac{3+x}{4}\right)+\log ^2(x) \left(3+x-9 x^2+\left(6+2 x-9 x^2-3 x^3\right) \log \left(\frac{3+x}{4}\right)+(3+x) \log ^2\left(\frac{3+x}{4}\right)\right)}{\log (x) \left(-3 x^2-x^3+\left(-6 x^2-2 x^3\right) \log \left(\frac{3+x}{4}\right)+\left(-3 x^2-x^3\right) \log ^2\left(\frac{3+x}{4}\right)\right)+\log ^2(x) \left(-3 x+2 x^2-8 x^3-3 x^4+\left(-6 x+4 x^2-7 x^3-3 x^4\right) \log \left(\frac{3+x}{4}\right)+\left(-3 x+2 x^2+x^3\right) \log ^2\left(\frac{3+x}{4}\right)\right)} \, dx","Integrate[(3*x + x^2 + (6*x + 2*x^2)*Log[(3 + x)/4] + (3*x + x^2)*Log[(3 + x)/4]^2 + Log[x]^2*(3 + x - 9*x^2 + (6 + 2*x - 9*x^2 - 3*x^3)*Log[(3 + x)/4] + (3 + x)*Log[(3 + x)/4]^2))/(Log[x]*(-3*x^2 - x^3 + (-6*x^2 - 2*x^3)*Log[(3 + x)/4] + (-3*x^2 - x^3)*Log[(3 + x)/4]^2) + Log[x]^2*(-3*x + 2*x^2 - 8*x^3 - 3*x^4 + (-6*x + 4*x^2 - 7*x^3 - 3*x^4)*Log[(3 + x)/4] + (-3*x + 2*x^2 + x^3)*Log[(3 + x)/4]^2)),x]","\log \left(3 x^2 \log (x)+x-x \log (x)-x \log (x) \log \left(\frac{x+3}{4}\right)+x \log \left(\frac{x+3}{4}\right)+\log (x)+\log (x) \log \left(\frac{x+3}{4}\right)\right)-\log (x)-\log (\log (x))-\log \left(\log \left(\frac{x+3}{4}\right)+1\right)","\log \left(\frac{\frac{3 x^2}{\log \left(\frac{x+3}{4}\right)+1}-x+\frac{x}{\log (x)}+1}{x}\right)",1,"-Log[x] - Log[Log[x]] - Log[1 + Log[(3 + x)/4]] + Log[x + Log[x] - x*Log[x] + 3*x^2*Log[x] + x*Log[(3 + x)/4] + Log[x]*Log[(3 + x)/4] - x*Log[x]*Log[(3 + x)/4]]","B",1
3481,1,23,23,0.4419147,"\int \frac{\exp \left(-\frac{2}{-45 x^3+9 x^4+e^6 \left(-45 x+9 x^2\right)+e^3 \left(90 x^2-18 x^3\right)}\right) \left(30 x-8 x^2+e^3 (-10+4 x)\right)}{-225 x^5+90 x^6-9 x^7+e^9 \left(225 x^2-90 x^3+9 x^4\right)+e^6 \left(-675 x^3+270 x^4-27 x^5\right)+e^3 \left(675 x^4-270 x^5+27 x^6\right)} \, dx","Integrate[(30*x - 8*x^2 + E^3*(-10 + 4*x))/(E^(2/(-45*x^3 + 9*x^4 + E^6*(-45*x + 9*x^2) + E^3*(90*x^2 - 18*x^3)))*(-225*x^5 + 90*x^6 - 9*x^7 + E^9*(225*x^2 - 90*x^3 + 9*x^4) + E^6*(-675*x^3 + 270*x^4 - 27*x^5) + E^3*(675*x^4 - 270*x^5 + 27*x^6))),x]","e^{-\frac{2}{9 \left(e^3-x\right)^2 (x-5) x}}","e^{-\frac{2}{9 \left(e^3-x\right)^2 (x-5) x}}",1,"E^(-2/(9*(E^3 - x)^2*(-5 + x)*x))","A",1
3482,1,14,26,0.0101857,"\int \frac{1}{5} e^{\frac{5-x}{5}} \left(-5+5 e^{\frac{1}{5} (-5+x)}+x\right) \, dx","Integrate[(E^((5 - x)/5)*(-5 + 5*E^((-5 + x)/5) + x))/5,x]","x-e^{1-\frac{x}{5}} x","x-\log \left(\frac{1}{2} e^{e^{1-\frac{x}{5}} x+4}\right)+\log (6)",1,"x - E^(1 - x/5)*x","A",1
3483,1,24,23,0.0143482,"\int \frac{-16 x+24 x^2+e^5 (-2+4 x)}{-36-4 x^2+4 x^3+e^5 \left(-x+x^2\right)} \, dx","Integrate[(-16*x + 24*x^2 + E^5*(-2 + 4*x))/(-36 - 4*x^2 + 4*x^3 + E^5*(-x + x^2)),x]","2 \log \left(4 \left(x^3-x^2-9\right)+e^5 (x-1) x\right)","\log \left(\left(\frac{1}{4} \left(4 x+e^5\right) \left(x-x^2\right)+9\right)^2\right)",1,"2*Log[E^5*(-1 + x)*x + 4*(-9 - x^2 + x^3)]","A",1
3484,1,30,29,0.1509293,"\int \frac{e^{-3+e^x} \left(e^{2+4 x} \left(x^2-4 x^3+e^x x^3\right)-2 x \log (2)-e^x x^2 \log (2)\right)}{2 e^{4+8 x} x^2-4 e^{2+4 x} x \log (2)+2 \log ^2(2)} \, dx","Integrate[(E^(-3 + E^x)*(E^(2 + 4*x)*(x^2 - 4*x^3 + E^x*x^3) - 2*x*Log[2] - E^x*x^2*Log[2]))/(2*E^(4 + 8*x)*x^2 - 4*E^(2 + 4*x)*x*Log[2] + 2*Log[2]^2),x]","\frac{e^{e^x-3} x^2}{2 \left(e^{4 x+2} x-\log (2)\right)}","\frac{e^{e^x-3} x}{2 \left(e^{4 x+2}-\frac{\log (2)}{x}\right)}",1,"(E^(-3 + E^x)*x^2)/(2*(E^(2 + 4*x)*x - Log[2]))","A",1
3485,0,0,28,0.7419515,"\int \frac{192 x+e^{\frac{x}{\log (8)}} (8+384 x) \log (8)+\left(96 x+192 e^{\frac{x}{\log (8)}} x \log (8)\right) \log (x)+\left(12 x+24 e^{\frac{x}{\log (8)}} x \log (8)\right) \log ^2(x)}{-48 x \log (8)+e^{\frac{x}{\log (8)}} \left(-8 x+96 x^2\right) \log (8)+\left(-24 x \log (8)+e^{\frac{x}{\log (8)}} \left(-2 x+48 x^2\right) \log (8)\right) \log (x)+\left(-3 x \log (8)+6 e^{\frac{x}{\log (8)}} x^2 \log (8)\right) \log ^2(x)} \, dx","Integrate[(192*x + E^(x/Log[8])*(8 + 384*x)*Log[8] + (96*x + 192*E^(x/Log[8])*x*Log[8])*Log[x] + (12*x + 24*E^(x/Log[8])*x*Log[8])*Log[x]^2)/(-48*x*Log[8] + E^(x/Log[8])*(-8*x + 96*x^2)*Log[8] + (-24*x*Log[8] + E^(x/Log[8])*(-2*x + 48*x^2)*Log[8])*Log[x] + (-3*x*Log[8] + 6*E^(x/Log[8])*x^2*Log[8])*Log[x]^2),x]","\int \frac{192 x+e^{\frac{x}{\log (8)}} (8+384 x) \log (8)+\left(96 x+192 e^{\frac{x}{\log (8)}} x \log (8)\right) \log (x)+\left(12 x+24 e^{\frac{x}{\log (8)}} x \log (8)\right) \log ^2(x)}{-48 x \log (8)+e^{\frac{x}{\log (8)}} \left(-8 x+96 x^2\right) \log (8)+\left(-24 x \log (8)+e^{\frac{x}{\log (8)}} \left(-2 x+48 x^2\right) \log (8)\right) \log (x)+\left(-3 x \log (8)+6 e^{\frac{x}{\log (8)}} x^2 \log (8)\right) \log ^2(x)} \, dx","4 \log \left(-4 x+2 e^{-\frac{x}{\log (8)}}+\frac{4}{3 (\log (x)+4)}\right)",1,"Integrate[(192*x + E^(x/Log[8])*(8 + 384*x)*Log[8] + (96*x + 192*E^(x/Log[8])*x*Log[8])*Log[x] + (12*x + 24*E^(x/Log[8])*x*Log[8])*Log[x]^2)/(-48*x*Log[8] + E^(x/Log[8])*(-8*x + 96*x^2)*Log[8] + (-24*x*Log[8] + E^(x/Log[8])*(-2*x + 48*x^2)*Log[8])*Log[x] + (-3*x*Log[8] + 6*E^(x/Log[8])*x^2*Log[8])*Log[x]^2), x]","F",-1
3486,1,27,22,0.2162587,"\int \frac{1}{2} \left(50+e^{\frac{1}{2} \left(23 x+x^2+4 x \log (x)\right)} \left(2+27 x+2 x^2+4 x \log (x)\right)\right) \, dx","Integrate[(50 + E^((23*x + x^2 + 4*x*Log[x])/2)*(2 + 27*x + 2*x^2 + 4*x*Log[x]))/2,x]","e^{\frac{x^2}{2}+\frac{23 x}{2}} x^{2 x+1}+25 x","x \left(e^{\frac{1}{2} x (x+15)+2 x (\log (x)+2)}+25\right)",1,"25*x + E^((23*x)/2 + x^2/2)*x^(1 + 2*x)","A",1
3487,1,17,19,0.3541639,"\int \frac{\exp \left(\frac{10 x^5-2 x^6}{81-432 x+864 x^2-768 x^3+256 x^4}\right) \left(-150 x^4+76 x^5-16 x^6\right)}{-243+1620 x-4320 x^2+5760 x^3-3840 x^4+1024 x^5} \, dx","Integrate[(E^((10*x^5 - 2*x^6)/(81 - 432*x + 864*x^2 - 768*x^3 + 256*x^4))*(-150*x^4 + 76*x^5 - 16*x^6))/(-243 + 1620*x - 4320*x^2 + 5760*x^3 - 3840*x^4 + 1024*x^5),x]","e^{-\frac{2 (x-5) x^5}{(3-4 x)^4}}","e^{\frac{2 (5-x) x}{\left(4-\frac{3}{x}\right)^4}}",1,"E^((-2*(-5 + x)*x^5)/(3 - 4*x)^4)","A",1
3488,1,11,19,0.0050013,"\int \frac{-2+144 x^2}{33-2 x+48 x^3} \, dx","Integrate[(-2 + 144*x^2)/(33 - 2*x + 48*x^3),x]","\log \left(48 x^3-2 x+33\right)","\log \left(\frac{1}{4} \left(-16 x^3+\frac{2 x}{3}-3\right)-2\right)",1,"Log[33 - 2*x + 48*x^3]","A",1
3489,1,22,22,0.2827073,"\int \frac{e^{\frac{2 \left(9 x^2+200 e^x \log ^2(x)\right)}{9 x^2}} \left(32 e^x \log (x)+e^x (-32+16 x) \log ^2(x)\right)}{27 x^3} \, dx","Integrate[(E^((2*(9*x^2 + 200*E^x*Log[x]^2))/(9*x^2))*(32*E^x*Log[x] + E^x*(-32 + 16*x)*Log[x]^2))/(27*x^3),x]","\frac{1}{75} e^{\frac{400 e^x \log ^2(x)}{9 x^2}+2}","\frac{1}{75} e^{\frac{400 e^x \log ^2(x)}{9 x^2}+2}",1,"E^(2 + (400*E^x*Log[x]^2)/(9*x^2))/75","A",1
3490,1,25,22,0.0978429,"\int \frac{72 x+4 x^3}{1215 \log (3)+270 x^2 \log (3) \log \left(\frac{2}{x}\right)+15 x^4 \log (3) \log ^2\left(\frac{2}{x}\right)} \, dx","Integrate[(72*x + 4*x^3)/(1215*Log[3] + 270*x^2*Log[3]*Log[2/x] + 15*x^4*Log[3]*Log[2/x]^2),x]","\frac{4 x^2}{15 \log (3) \left(x^2 \log \left(\frac{2}{x}\right)+9\right)}","\frac{4}{15 \log (3) \left(\frac{9}{x^2}+\log \left(\frac{2}{x}\right)\right)}",1,"(4*x^2)/(15*Log[3]*(9 + x^2*Log[2/x]))","A",1
3491,1,30,27,0.3593999,"\int \frac{9+x+(-27-4 x) \log (x)+(-3+5 x) \log ^2(x)+(6-2 x) \log ^3(x)}{\left(9 x+x^2\right) \log (x)+\left(-3 x-2 x^2\right) \log ^2(x)+\left(-6 x+x^2\right) \log ^3(x)} \, dx","Integrate[(9 + x + (-27 - 4*x)*Log[x] + (-3 + 5*x)*Log[x]^2 + (6 - 2*x)*Log[x]^3)/((9*x + x^2)*Log[x] + (-3*x - 2*x^2)*Log[x]^2 + (-6*x + x^2)*Log[x]^3),x]","-\log (x)+\log (1-\log (x))+\log (\log (x))-\log (x+x (-\log (x))+6 \log (x)+9)","\log \left(\frac{4 \log (x)}{x \left(\frac{x}{3}+\frac{5}{1-\log (x)}-2\right)}\right)",1,"-Log[x] + Log[1 - Log[x]] + Log[Log[x]] - Log[9 + x + 6*Log[x] - x*Log[x]]","A",1
3492,1,27,24,0.7099988,"\int \frac{e^{\frac{15}{-12+5 x}} \left(-351 x+180 x^2-100 x^3\right)+\left(6480-22680 x+27045 x^2-12600 x^3+2000 x^4+e^{\frac{15}{-12+5 x}} \left(-432+936 x-555 x^2+100 x^3\right)\right) \log \left(\frac{-15+e^{\frac{15}{-12+5 x}}+20 x}{-3+4 x}\right)}{6480-22680 x+27045 x^2-12600 x^3+2000 x^4+e^{\frac{15}{-12+5 x}} \left(-432+936 x-555 x^2+100 x^3\right)} \, dx","Integrate[(E^(15/(-12 + 5*x))*(-351*x + 180*x^2 - 100*x^3) + (6480 - 22680*x + 27045*x^2 - 12600*x^3 + 2000*x^4 + E^(15/(-12 + 5*x))*(-432 + 936*x - 555*x^2 + 100*x^3))*Log[(-15 + E^(15/(-12 + 5*x)) + 20*x)/(-3 + 4*x)])/(6480 - 22680*x + 27045*x^2 - 12600*x^3 + 2000*x^4 + E^(15/(-12 + 5*x))*(-432 + 936*x - 555*x^2 + 100*x^3)),x]","x \log \left(\frac{20 x+e^{\frac{15}{5 x-12}}-15}{4 x-3}\right)","x \log \left(\frac{e^{\frac{3}{x-\frac{12}{5}}}}{4 x-3}+5\right)",1,"x*Log[(-15 + E^(15/(-12 + 5*x)) + 20*x)/(-3 + 4*x)]","A",1
3493,1,64,24,0.1362711,"\int \frac{\exp \left(\frac{20 x^4+36 x^3 \log \left(2 x+25 x^2\right)+54 x^2 \log ^2\left(2 x+25 x^2\right)+36 x \log ^3\left(2 x+25 x^2\right)+9 \log ^4\left(2 x+25 x^2\right)}{9 x^4}\right) \left(8 x^3+200 x^4+\left(24 x^2+592 x^3-100 x^4\right) \log \left(2 x+25 x^2\right)+\left(24 x+576 x^2-300 x^3\right) \log ^2\left(2 x+25 x^2\right)+\left(8+176 x-300 x^2\right) \log ^3\left(2 x+25 x^2\right)+(-8-100 x) \log ^4\left(2 x+25 x^2\right)\right)}{2 x^5+25 x^6} \, dx","Integrate[(E^((20*x^4 + 36*x^3*Log[2*x + 25*x^2] + 54*x^2*Log[2*x + 25*x^2]^2 + 36*x*Log[2*x + 25*x^2]^3 + 9*Log[2*x + 25*x^2]^4)/(9*x^4))*(8*x^3 + 200*x^4 + (24*x^2 + 592*x^3 - 100*x^4)*Log[2*x + 25*x^2] + (24*x + 576*x^2 - 300*x^3)*Log[2*x + 25*x^2]^2 + (8 + 176*x - 300*x^2)*Log[2*x + 25*x^2]^3 + (-8 - 100*x)*Log[2*x + 25*x^2]^4))/(2*x^5 + 25*x^6),x]","(x (25 x+2))^{4/x} \exp \left(\frac{\log ^4(x (25 x+2))}{x^4}+\frac{4 \log ^3(x (25 x+2))}{x^3}+\frac{6 \log ^2(x (25 x+2))}{x^2}+\frac{20}{9}\right)","e^{\frac{\left(\log \left(25 x^2+2 x\right)+x\right)^4}{x^4}+\frac{11}{9}}",1,"E^(20/9 + (6*Log[x*(2 + 25*x)]^2)/x^2 + (4*Log[x*(2 + 25*x)]^3)/x^3 + Log[x*(2 + 25*x)]^4/x^4)*(x*(2 + 25*x))^(4/x)","B",1
3494,1,42,33,0.1531659,"\int \frac{-18 x^3+12 x^4-47 x^5+30 x^6-5 x^7+e^x \left(-9 x^5+6 x^6-x^7\right)+\left(-72 x^3+48 x^4-98 x^5+60 x^6-10 x^7+e^x \left(-18 x^5+21 x^6-8 x^7+x^8\right)\right) \log (x)+\left(30 x^5-6 x^6-6 x^7+x^8\right) \log ^2(x)}{36-24 x+184 x^2-120 x^3+245 x^4-150 x^5+25 x^6+e^{2 x} \left(9 x^4-6 x^5+x^6\right)+e^x \left(36 x^2-24 x^3+94 x^4-60 x^5+10 x^6\right)+\left(-60 x^2-16 x^3-126 x^4-44 x^5+60 x^6-10 x^7+e^x \left(-30 x^4-8 x^5+12 x^6-2 x^7\right)\right) \log (x)+\left(25 x^4+30 x^5-x^6-6 x^7+x^8\right) \log ^2(x)} \, dx","Integrate[(-18*x^3 + 12*x^4 - 47*x^5 + 30*x^6 - 5*x^7 + E^x*(-9*x^5 + 6*x^6 - x^7) + (-72*x^3 + 48*x^4 - 98*x^5 + 60*x^6 - 10*x^7 + E^x*(-18*x^5 + 21*x^6 - 8*x^7 + x^8))*Log[x] + (30*x^5 - 6*x^6 - 6*x^7 + x^8)*Log[x]^2)/(36 - 24*x + 184*x^2 - 120*x^3 + 245*x^4 - 150*x^5 + 25*x^6 + E^(2*x)*(9*x^4 - 6*x^5 + x^6) + E^x*(36*x^2 - 24*x^3 + 94*x^4 - 60*x^5 + 10*x^6) + (-60*x^2 - 16*x^3 - 126*x^4 - 44*x^5 + 60*x^6 - 10*x^7 + E^x*(-30*x^4 - 8*x^5 + 12*x^6 - 2*x^7))*Log[x] + (25*x^4 + 30*x^5 - x^6 - 6*x^7 + x^8)*Log[x]^2),x]","\frac{(x-3) x^4 \log (x)}{x^2 \left(x^2-3 x-5\right) \log (x)-(x-3) \left(\left(e^x+5\right) x^2+2\right)}","\frac{x^2}{-\frac{\frac{2}{x^2}+e^x+5}{\log (x)}+x+\frac{5}{3-x}}",1,"((-3 + x)*x^4*Log[x])/(-((-3 + x)*(2 + (5 + E^x)*x^2)) + x^2*(-5 - 3*x + x^2)*Log[x])","A",1
3495,1,34,19,0.0236565,"\int \frac{-5+x^2-2 e^{2 x} x^2-20 x^3-4 x^5+e^x \left(-10 x^2-4 x^3-2 x^4\right)}{x^2} \, dx","Integrate[(-5 + x^2 - 2*E^(2*x)*x^2 - 20*x^3 - 4*x^5 + E^x*(-10*x^2 - 4*x^3 - 2*x^4))/x^2,x]","-x^4-10 x^2-2 e^x \left(x^2+5\right)+x-e^{2 x}+\frac{5}{x}","-\left(x^2+e^x+5\right)^2+x+\frac{5}{x}",1,"-E^(2*x) + 5/x + x - 10*x^2 - x^4 - 2*E^x*(5 + x^2)","A",1
3496,1,26,25,0.8965811,"\int \frac{1}{3} e^{-3-x+x^3-x^2 \log (x)} \left(25-23 x-26 x^2+74 x^3+3 x^4+\left(-50 x^2-2 x^3\right) \log (x)\right) \, dx","Integrate[(E^(-3 - x + x^3 - x^2*Log[x])*(25 - 23*x - 26*x^2 + 74*x^3 + 3*x^4 + (-50*x^2 - 2*x^3)*Log[x]))/3,x]","\frac{1}{3} e^{x^3-x-3} x^{1-x^2} (x+25)","\frac{1}{3} x (x+25) e^{x^2 (x-\log (x))-x-3}",1,"(E^(-3 - x + x^3)*x^(1 - x^2)*(25 + x))/3","A",1
3497,1,17,21,0.1092674,"\int e^{4-x-e^{4-x} (4+\log (2))} (-12-3 \log (2)) \, dx","Integrate[E^(4 - x - E^(4 - x)*(4 + Log[2]))*(-12 - 3*Log[2]),x]","-3 e^{-e^{4-x} (4+\log (2))}","\frac{1}{2}-3 e^{-e^{4-x} (4+\log (2))}",1,"-3/E^(E^(4 - x)*(4 + Log[2]))","A",1
3498,1,32,29,0.0969655,"\int \frac{8 e^{\frac{1+16 x^3}{8 x^2}} x^3-16 e^{\frac{1+16 x^3}{16 x^2}} x^4+8 x^5+e^{e^x} \left(8 x^3-8 e^x x^4+e^{\frac{1+16 x^3}{16 x^2}} \left(1-8 x^3+8 e^x x^3\right)\right)}{8 e^{\frac{1+16 x^3}{8 x^2}} x^3-16 e^{\frac{1+16 x^3}{16 x^2}} x^4+8 x^5} \, dx","Integrate[(8*E^((1 + 16*x^3)/(8*x^2))*x^3 - 16*E^((1 + 16*x^3)/(16*x^2))*x^4 + 8*x^5 + E^E^x*(8*x^3 - 8*E^x*x^4 + E^((1 + 16*x^3)/(16*x^2))*(1 - 8*x^3 + 8*E^x*x^3)))/(8*E^((1 + 16*x^3)/(8*x^2))*x^3 - 16*E^((1 + 16*x^3)/(16*x^2))*x^4 + 8*x^5),x]","\frac{1}{8} \left(\frac{8 e^{e^x}}{e^{\frac{1}{16 x^2}+x}-x}+8 x\right)","-\frac{e^{e^x}}{x-e^{\frac{1}{16 x^2}+x}}+x-\frac{7}{4}",1,"((8*E^E^x)/(E^(1/(16*x^2) + x) - x) + 8*x)/8","A",1
3499,1,20,20,0.2564291,"\int \frac{9 e^x-9 x+\left(e^x (-9-18 x)+27 x\right) \log (2 x)}{2 e^{3 x} x^2-6 e^{2 x} x^3+6 e^x x^4-2 x^5} \, dx","Integrate[(9*E^x - 9*x + (E^x*(-9 - 18*x) + 27*x)*Log[2*x])/(2*E^(3*x)*x^2 - 6*E^(2*x)*x^3 + 6*E^x*x^4 - 2*x^5),x]","\frac{9 \log (2 x)}{2 \left(e^x-x\right)^2 x}","\frac{9 \log (2 x)}{2 x \left(x-e^x\right)^2}",1,"(9*Log[2*x])/(2*(E^x - x)^2*x)","A",1
3500,1,24,29,0.6350066,"\int \frac{2 e^{-e^3+i \pi +x} \left(125-50 x+5 x^2\right)+2 e^{-e^3+i \pi +x} (-25+5 x) \log (-5+x)+\left(2 e^{-e^3+i \pi +x} \left(145+90 x-50 x^2+5 x^3\right)+2 e^{-e^3+i \pi +x} \left(-25-20 x+5 x^2\right) \log (-5+x)\right) \log (1+x)}{-125-50 x+60 x^2-14 x^3+x^4+\left(50+30 x-18 x^2+2 x^3\right) \log (-5+x)+\left(-5-4 x+x^2\right) \log ^2(-5+x)} \, dx","Integrate[(2*E^(-E^3 + I*Pi + x)*(125 - 50*x + 5*x^2) + 2*E^(-E^3 + I*Pi + x)*(-25 + 5*x)*Log[-5 + x] + (2*E^(-E^3 + I*Pi + x)*(145 + 90*x - 50*x^2 + 5*x^3) + 2*E^(-E^3 + I*Pi + x)*(-25 - 20*x + 5*x^2)*Log[-5 + x])*Log[1 + x])/(-125 - 50*x + 60*x^2 - 14*x^3 + x^4 + (50 + 30*x - 18*x^2 + 2*x^3)*Log[-5 + x] + (-5 - 4*x + x^2)*Log[-5 + x]^2),x]","-\frac{10 e^{x-e^3} \log (x+1)}{x+\log (x-5)-5}","\frac{10 e^{x+i \pi -e^3} \log (x+1)}{x+\log (x-5)-5}",1,"(-10*E^(-E^3 + x)*Log[1 + x])/(-5 + x + Log[-5 + x])","A",1
3501,1,11,11,0.0029335,"\int -72 e^{135-9 x^2} x \, dx","Integrate[-72*E^(135 - 9*x^2)*x,x]","4 e^{135-9 x^2}","4 e^{-9 \left(x^2-15\right)}",1,"4*E^(135 - 9*x^2)","A",1
3502,1,16,29,0.1857464,"\int \frac{-2-2 x-2 x^2-x^3+\left(x+x^2\right) \log \left(\frac{4+4 x}{x^2}\right)}{-x^2-x^3+\left(x+x^2\right) \log \left(\frac{4+4 x}{x^2}\right)} \, dx","Integrate[(-2 - 2*x - 2*x^2 - x^3 + (x + x^2)*Log[(4 + 4*x)/x^2])/(-x^2 - x^3 + (x + x^2)*Log[(4 + 4*x)/x^2]),x]","\log \left(x-\log \left(\frac{4 (x+1)}{x^2}\right)\right)+x","\log \left(\left(5-e+e^4\right) e^x \left(\log \left(\frac{\frac{4}{x}+4}{x}\right)-x\right)\right)",1,"x + Log[x - Log[(4*(1 + x))/x^2]]","A",1
3503,1,7,21,0.0007657,"\int \frac{-1-x^2}{x^2} \, dx","Integrate[(-1 - x^2)/x^2,x]","\frac{1}{x}-x","\frac{1}{3} \left(\frac{3}{x}+\frac{3}{2}\right)-x+\log (5)+\log (2)",1,"x^(-1) - x","A",1
3504,1,21,24,0.0300451,"\int \frac{-4-e^{3+x}+36 e^{3+e^{18 x^2}+18 x^2} x}{e^3} \, dx","Integrate[(-4 - E^(3 + x) + 36*E^(3 + E^(18*x^2) + 18*x^2)*x)/E^3,x]","e^{e^{18 x^2}}-\frac{4 x}{e^3}-e^x","e^{e^{18 x^2}}-\frac{4 x}{e^3}-e^x-\frac{5}{2}",1,"E^E^(18*x^2) - E^x - (4*x)/E^3","A",1
3505,1,18,18,0.0315223,"\int \frac{e^{x+\log ^4\left(\frac{e^x}{10}\right)} \left(-1+x+4 x \log ^3\left(\frac{e^x}{10}\right)\right)}{x^2} \, dx","Integrate[(E^(x + Log[E^x/10]^4)*(-1 + x + 4*x*Log[E^x/10]^3))/x^2,x]","\frac{e^{x+\log ^4\left(\frac{e^x}{10}\right)}}{x}","\frac{e^{x+\log ^4\left(\frac{e^x}{10}\right)}}{x}",1,"E^(x + Log[E^x/10]^4)/x","A",1
3506,1,19,27,0.0000759,"\int \left(-60-42 x+126 x^2-84 x^3\right) \, dx","Integrate[-60 - 42*x + 126*x^2 - 84*x^3,x]","-21 x^4+42 x^3-21 x^2-60 x","3 \left(x-7 \left((1-x)^2 x^2+3 x-e^5+9\right)\right)",1,"-60*x - 21*x^2 + 42*x^3 - 21*x^4","A",1
3507,1,31,32,0.0663987,"\int \frac{-20 e^{3 x}-5 e^{2 e^4+x}+20 e^{e^4+2 x}+2 e^x \log \left(\frac{4}{3}\right)}{5 e^{2 e^4}+20 e^{2 x}-20 e^{e^4+x}} \, dx","Integrate[(-20*E^(3*x) - 5*E^(2*E^4 + x) + 20*E^(E^4 + 2*x) + 2*E^x*Log[4/3])/(5*E^(2*E^4) + 20*E^(2*x) - 20*E^(E^4 + x)),x]","\frac{1}{5} \left(\frac{\log \left(\frac{16}{9}\right)}{2 \left(e^{e^4}-2 e^x\right)}-5 e^x\right)","-e^x-\frac{\log \left(\frac{4}{3}\right)}{5 \left(2 e^x-e^{e^4}\right)}+4+\log (2)",1,"(-5*E^x + Log[16/9]/(2*(E^E^4 - 2*E^x)))/5","A",1
3508,1,22,22,0.0125684,"\int \frac{2+e^{e^{\frac{-60+e^4}{e^4}}} x^2+e^x x^2}{x^2} \, dx","Integrate[(2 + E^E^((-60 + E^4)/E^4)*x^2 + E^x*x^2)/x^2,x]","e^{e^{1-\frac{60}{e^4}}} x+e^x-\frac{2}{x}","e^{e^{1-\frac{60}{e^4}}} x+e^x-\frac{2}{x}",1,"E^x - 2/x + E^E^(1 - 60/E^4)*x","A",1
3509,1,119,30,0.4486776,"\int \frac{-4800+e^{4 x} (-3-12 x)-7680 x-1584 x^2+384 x^3-15 x^4+\left(-3840 x-2304 x^2+192 x^3\right) \log (2)+\left(3840+3072 x-864 x^2\right) \log ^2(2)+1536 x \log ^3(2)-768 \log ^4(2)+e^{3 x} \left(24 x+36 x^2+(-48-144 x) \log (2)\right)+e^{2 x} \left(240+672 x+138 x^2-36 x^3+\left(288 x+288 x^2\right) \log (2)+(-288-576 x) \log ^2(2)\right)+e^x \left(-960 x-1056 x^2-144 x^3+12 x^4+\left(1920+3456 x+336 x^2-144 x^3\right) \log (2)+\left(1152 x+576 x^2\right) \log ^2(2)+(-768-768 x) \log ^3(2)\right)}{4096} \, dx","Integrate[(-4800 + E^(4*x)*(-3 - 12*x) - 7680*x - 1584*x^2 + 384*x^3 - 15*x^4 + (-3840*x - 2304*x^2 + 192*x^3)*Log[2] + (3840 + 3072*x - 864*x^2)*Log[2]^2 + 1536*x*Log[2]^3 - 768*Log[2]^4 + E^(3*x)*(24*x + 36*x^2 + (-48 - 144*x)*Log[2]) + E^(2*x)*(240 + 672*x + 138*x^2 - 36*x^3 + (288*x + 288*x^2)*Log[2] + (-288 - 576*x)*Log[2]^2) + E^x*(-960*x - 1056*x^2 - 144*x^3 + 12*x^4 + (1920 + 3456*x + 336*x^2 - 144*x^3)*Log[2] + (1152*x + 576*x^2)*Log[2]^2 + (-768 - 768*x)*Log[2]^3))/4096,x]","-\frac{3 x \left(\left(x^2-8 x (2+\log (2))+8 \left(2 \log ^2(2)-5\right)\right)^2+e^{2 x} \left(6 x^2-2 x (16+\log (16777216))-80+96 \log ^2(2)\right)-4 e^x \left(x^3-4 x^2 (4+\log (8))+4 x \left(-10+12 \log ^2(2)+\log (65536)\right)-8 \left(8 \log ^3(2)-27 \log (2)+\log (128)\right)\right)+e^{4 x}-4 e^{3 x} (x-4 \log (2))\right)}{4096}","-\frac{3}{16} x \left(x-\left(\frac{1}{4} \left(e^x-x\right)+\log (2)\right)^2+\frac{5}{2}\right)^2",1,"(-3*x*(E^(4*x) - 4*E^(3*x)*(x - 4*Log[2]) + (x^2 - 8*x*(2 + Log[2]) + 8*(-5 + 2*Log[2]^2))^2 - 4*E^x*(x^3 - 4*x^2*(4 + Log[8]) - 8*(-27*Log[2] + 8*Log[2]^3 + Log[128]) + 4*x*(-10 + 12*Log[2]^2 + Log[65536])) + E^(2*x)*(-80 + 6*x^2 + 96*Log[2]^2 - 2*x*(16 + Log[16777216]))))/4096","B",1
3510,1,21,21,0.0257386,"\int \frac{1}{5} \left(5 e^x+e^{\frac{1}{5} \left(-55-5 e^5+x\right)} (-10-2 x)\right) \, dx","Integrate[(5*E^x + E^((-55 - 5*E^5 + x)/5)*(-10 - 2*x))/5,x]","e^x-2 e^{\frac{x}{5}-e^5-11} x","e^x-2 e^{\frac{x}{5}-e^5-11} x",1,"E^x - 2*E^(-11 - E^5 + x/5)*x","A",1
3511,1,23,23,0.3076301,"\int \frac{e^{-2+e^x+\frac{x^3}{27+9 x}} \left(9 x^2+2 x^3+e^x \left(81+54 x+9 x^2\right)\right)}{81+54 x+9 x^2} \, dx","Integrate[(E^(-2 + E^x + x^3/(27 + 9*x))*(9*x^2 + 2*x^3 + E^x*(81 + 54*x + 9*x^2)))/(81 + 54*x + 9*x^2),x]","e^{\frac{x^3-18 x-54}{9 (x+3)}+e^x}","e^{\frac{x^2}{3 \left(\frac{9}{x}+3\right)}+e^x-2}",1,"E^(E^x + (-54 - 18*x + x^3)/(9*(3 + x)))","A",1
3512,1,21,29,0.0118267,"\int \frac{6-2 x^3+\left(3 x^2-2 x^3\right) \log (2)+x^2 \log (7)}{x^2} \, dx","Integrate[(6 - 2*x^3 + (3*x^2 - 2*x^3)*Log[2] + x^2*Log[7])/x^2,x]","-\frac{1}{2} x^2 (2+\log (4))-\frac{6}{x}+x \log (56)","(3-x) \left(\frac{x^2 \log (2)-2}{x}+x-\log (7)\right)-3 x-1",1,"-6/x - (x^2*(2 + Log[4]))/2 + x*Log[56]","A",1
3513,1,18,20,0.0067459,"\int \frac{-40+5 x+4 x^2}{8+2 x} \, dx","Integrate[(-40 + 5*x + 4*x^2)/(8 + 2*x),x]","x^2-\frac{11 x}{2}+2 \log (2 (x+4))-38","(3-x)^2+\frac{x}{2}+\log \left((x+4)^2\right)-1",1,"-38 - (11*x)/2 + x^2 + 2*Log[2*(4 + x)]","A",1
3514,1,16,18,0.1700847,"\int \frac{-64-32 x^2-4 x^4+\left(-80 x+64 x^2-20 x^3+16 x^4\right) \log (5-4 x)}{(-5+4 x) \log ^2(5-4 x)} \, dx","Integrate[(-64 - 32*x^2 - 4*x^4 + (-80*x + 64*x^2 - 20*x^3 + 16*x^4)*Log[5 - 4*x])/((-5 + 4*x)*Log[5 - 4*x]^2),x]","\frac{\left(x^2+4\right)^2}{\log (5-4 x)}","\frac{\left(x^2+4\right)^2}{\log (5-4 x)}+2",1,"(4 + x^2)^2/Log[5 - 4*x]","A",1
3515,1,29,24,0.0068412,"\int \frac{-4+32 x+8 e^3 x-8 x \log (5)-8 x \log (x)}{x^2} \, dx","Integrate[(-4 + 32*x + 8*E^3*x - 8*x*Log[5] - 8*x*Log[x])/x^2,x]","\frac{4}{x}-4 \log ^2(x)-8 \log (5) \log (x)+8 e^3 \log (x)+32 \log (x)","\frac{4}{x}-4 \left(-\log (x)+e^3+4-\log (5)\right)^2+5",1,"4/x + 32*Log[x] + 8*E^3*Log[x] - 8*Log[5]*Log[x] - 4*Log[x]^2","A",1
3516,1,31,24,0.0024472,"\int \left(-11-72 x-144 x^2-96 x^3-20 x^4-\log \left(x^2\right)\right) \, dx","Integrate[-11 - 72*x - 144*x^2 - 96*x^3 - 20*x^4 - Log[x^2],x]","-4 x^5-24 x^4-48 x^3-36 x^2-x \log \left(x^2\right)-9 x","x \left(-\log \left(x^2\right)-(x+(x+1) (2 x+3))^2\right)",1,"-9*x - 36*x^2 - 48*x^3 - 24*x^4 - 4*x^5 - x*Log[x^2]","A",1
3517,1,14,19,0.0491856,"\int \frac{14+15 e^{2 x}+e^x (29+x)}{1+2 e^x+e^{2 x}} \, dx","Integrate[(14 + 15*E^(2*x) + E^x*(29 + x))/(1 + 2*E^x + E^(2*x)),x]","15 x-\frac{x}{e^x+1}","-\frac{x}{e^x+1}+5 (3 x-9)+10",1,"15*x - x/(1 + E^x)","A",1
3518,1,94,33,0.0747372,"\int \frac{-162 x^4+50 e x^4-246 x^5-4 x^6+e^9 \left(2 x-50 e x+306 x^2+4 x^3\right)+e^6 \left(54 x^2+150 e x^2-838 x^3-12 x^4\right)+e^3 \left(306 x^3-150 e x^3+778 x^4+12 x^5\right)}{25 e^9-75 e^6 x+75 e^3 x^2-25 x^3} \, dx","Integrate[(-162*x^4 + 50*E*x^4 - 246*x^5 - 4*x^6 + E^9*(2*x - 50*E*x + 306*x^2 + 4*x^3) + E^6*(54*x^2 + 150*E*x^2 - 838*x^3 - 12*x^4) + E^3*(306*x^3 - 150*E*x^3 + 778*x^4 + 12*x^5))/(25*E^9 - 75*E^6*x + 75*E^3*x^2 - 25*x^3),x]","\frac{1}{25} \left(\left(x^2+82 x+81\right) x^2-25 e x^2-20 e^3 (x-9) x-e^{12} \left(-\frac{20}{e^3-x}-\frac{100}{\left(e^3-x\right)^2}+1\right)-e^9 \left(\frac{380}{e^3-x}+42\right)-e^6 (20 x+261)+25 e^7\right)","x^2 \left(\left(\frac{2 x}{e^3-x}+\frac{x+1}{5}\right)^2+4 x-e\right)",1,"(25*E^7 - E^12*(1 - 100/(E^3 - x)^2 - 20/(E^3 - x)) - E^9*(42 + 380/(E^3 - x)) - 20*E^3*(-9 + x)*x - 25*E*x^2 - E^6*(261 + 20*x) + x^2*(81 + 82*x + x^2))/25","B",1
3519,1,26,19,0.12901,"\int \frac{241+8 e^x+12 x+4 x^2}{948+16 e^x+16 x+16 x^2} \, dx","Integrate[(241 + 8*E^x + 12*x + 4*x^2)/(948 + 16*E^x + 16*x + 16*x^2),x]","\frac{1}{4} \log \left(4 x^2+4 x+4 e^x+237\right)+\frac{x}{4}","\frac{1}{4} \left(\log \left(x^2+x+e^x+\frac{237}{4}\right)+x-1\right)",1,"x/4 + Log[237 + 4*E^x + 4*x + 4*x^2]/4","A",1
3520,1,25,26,0.0762085,"\int \frac{e^{\frac{1}{x}} \left(-104 x+26 x^2-2 x^4+2 x^5+\left(-52 x-x^4\right) \log (3)\right)+e^{\frac{1}{x}} \left(52-26 x-2 x^3+x^4+\left(26-x^3\right) \log (3)\right) \log \left(\frac{52-26 x-2 x^3+x^4+\left(26-x^3\right) \log (3)}{x^2}\right)}{\left(-52 x^2+26 x^3+2 x^5-x^6+\left(-26 x^2+x^5\right) \log (3)\right) \log ^2\left(\frac{52-26 x-2 x^3+x^4+\left(26-x^3\right) \log (3)}{x^2}\right)} \, dx","Integrate[(E^x^(-1)*(-104*x + 26*x^2 - 2*x^4 + 2*x^5 + (-52*x - x^4)*Log[3]) + E^x^(-1)*(52 - 26*x - 2*x^3 + x^4 + (26 - x^3)*Log[3])*Log[(52 - 26*x - 2*x^3 + x^4 + (26 - x^3)*Log[3])/x^2])/((-52*x^2 + 26*x^3 + 2*x^5 - x^6 + (-26*x^2 + x^5)*Log[3])*Log[(52 - 26*x - 2*x^3 + x^4 + (26 - x^3)*Log[3])/x^2]^2),x]","\frac{e^{\frac{1}{x}}}{\log \left(\frac{\left(x^3-26\right) (x-2-\log (3))}{x^2}\right)}","\frac{e^{\frac{1}{x}}}{\log \left(\left(\frac{26}{x^2}-x\right) (-x+2+\log (3))\right)}",1,"E^x^(-1)/Log[((-26 + x^3)*(-2 + x - Log[3]))/x^2]","A",1
3521,1,58,24,0.0068285,"\int \frac{16 x^3+20 x^4+6 x^5-56 x^6-64 x^7-18 x^8+40 x^9+44 x^{10}+12 x^{11}}{4+\log (4)} \, dx","Integrate[(16*x^3 + 20*x^4 + 6*x^5 - 56*x^6 - 64*x^7 - 18*x^8 + 40*x^9 + 44*x^10 + 12*x^11)/(4 + Log[4]),x]","\frac{2 \left(\frac{x^{12}}{2}+2 x^{11}+2 x^{10}-x^9-4 x^8-4 x^7+\frac{x^6}{2}+2 x^5+2 x^4\right)}{4+\log (4)}","\frac{x^2 (x+2)^2 \left(x-x^4\right)^2}{4+\log (4)}",1,"(2*(2*x^4 + 2*x^5 + x^6/2 - 4*x^7 - 4*x^8 - x^9 + 2*x^10 + 2*x^11 + x^12/2))/(4 + Log[4])","B",1
3522,1,21,25,0.0026401,"\int \frac{1}{4} \left(1+e^6 (4-4 x)\right) \, dx","Integrate[(1 + E^6*(4 - 4*x))/4,x]","-\frac{1}{2} e^6 x^2+e^6 x+\frac{x}{4}","-e^6 \left(\frac{x^2}{2}-x\right)+\frac{x}{4}-\frac{3}{5}",1,"x/4 + E^6*x - (E^6*x^2)/2","A",1
3523,1,25,22,0.0655749,"\int \frac{15 x+e^3 \left(1+10 x-5 x^2\right)+\left(3 x+e^3 \left(2 x-x^2\right)\right) \log (x)+\left(5 e^3 x+e^3 x \log (x)\right) \log (5+\log (x))}{15 x+e^3 \left(15 x-5 x^2\right)+\left(3 x+e^3 \left(3 x-x^2\right)\right) \log (x)+\left(5 e^3 x+e^3 x \log (x)\right) \log (5+\log (x))} \, dx","Integrate[(15*x + E^3*(1 + 10*x - 5*x^2) + (3*x + E^3*(2*x - x^2))*Log[x] + (5*E^3*x + E^3*x*Log[x])*Log[5 + Log[x]])/(15*x + E^3*(15*x - 5*x^2) + (3*x + E^3*(3*x - x^2))*Log[x] + (5*E^3*x + E^3*x*Log[x])*Log[5 + Log[x]]),x]","x+\log \left(-e^3 x+e^3 \log (\log (x)+5)+3 e^3+3\right)","x+\log \left(\frac{1}{5} \left(-x+\log (\log (x)+5)+\frac{3}{e^3}+3\right)\right)",1,"x + Log[3 + 3*E^3 - E^3*x + E^3*Log[5 + Log[x]]]","A",1
3524,1,83,39,0.2021578,"\int \frac{e^{5 x} \left(-128-512 x-192 x^2\right)+e^{4 x} \left(-3072 x-5376 x^2-1536 x^3\right)+e^{2 x} \left(2304 x+6336 x^2-52224 x^3-34560 x^4\right)+e^{3 x} \left(192+896 x-20000 x^2-20608 x^3-3456 x^4\right)+e^x \left(-72-128 x+4804 x^2+10848 x^3-49184 x^4-21888 x^5+5184 x^6\right)}{324 x^2+900 x^3-13487 x^4-47536 x^5+197808 x^6+770240 x^7-1139360 x^8-4591872 x^9+3297024 x^{10}+5971968 x^{11}+1679616 x^{12}+e^{8 x} \left(1024 x^2+1024 x^3+256 x^4\right)+e^{7 x} \left(24576 x^3+24576 x^4+6144 x^5\right)+e^{6 x} \left(-3072 x^2-7168 x^3+253184 x^4+257024 x^5+64512 x^6\right)+e^{5 x} \left(-55296 x^3-129024 x^4+1460736 x^5+1529856 x^6+387072 x^7\right)+e^{4 x} \left(3456 x^2+10624 x^3-400544 x^4-959744 x^5+5150976 x^6+5667840 x^7+1451520 x^8\right)+e^{3 x} \left(41472 x^3+127488 x^4-1488768 x^5-3775488 x^6+11326464 x^7+13381632 x^8+3483648 x^9\right)+e^{2 x} \left(-1728 x^2-5568 x^3+177232 x^4+563520 x^5-2972352 x^6-8281600 x^7+15075072 x^8+19657728 x^9+5225472 x^{10}\right)+e^x \left(-10368 x^3-33408 x^4+316896 x^5+1086336 x^6-2980224 x^7-9600000 x^8+10990080 x^9+16422912 x^{10}+4478976 x^{11}\right)} \, dx","Integrate[(E^(5*x)*(-128 - 512*x - 192*x^2) + E^(4*x)*(-3072*x - 5376*x^2 - 1536*x^3) + E^(2*x)*(2304*x + 6336*x^2 - 52224*x^3 - 34560*x^4) + E^(3*x)*(192 + 896*x - 20000*x^2 - 20608*x^3 - 3456*x^4) + E^x*(-72 - 128*x + 4804*x^2 + 10848*x^3 - 49184*x^4 - 21888*x^5 + 5184*x^6))/(324*x^2 + 900*x^3 - 13487*x^4 - 47536*x^5 + 197808*x^6 + 770240*x^7 - 1139360*x^8 - 4591872*x^9 + 3297024*x^10 + 5971968*x^11 + 1679616*x^12 + E^(8*x)*(1024*x^2 + 1024*x^3 + 256*x^4) + E^(7*x)*(24576*x^3 + 24576*x^4 + 6144*x^5) + E^(6*x)*(-3072*x^2 - 7168*x^3 + 253184*x^4 + 257024*x^5 + 64512*x^6) + E^(5*x)*(-55296*x^3 - 129024*x^4 + 1460736*x^5 + 1529856*x^6 + 387072*x^7) + E^(4*x)*(3456*x^2 + 10624*x^3 - 400544*x^4 - 959744*x^5 + 5150976*x^6 + 5667840*x^7 + 1451520*x^8) + E^(3*x)*(41472*x^3 + 127488*x^4 - 1488768*x^5 - 3775488*x^6 + 11326464*x^7 + 13381632*x^8 + 3483648*x^9) + E^(2*x)*(-1728*x^2 - 5568*x^3 + 177232*x^4 + 563520*x^5 - 2972352*x^6 - 8281600*x^7 + 15075072*x^8 + 19657728*x^9 + 5225472*x^10) + E^x*(-10368*x^3 - 33408*x^4 + 316896*x^5 + 1086336*x^6 - 2980224*x^7 - 9600000*x^8 + 10990080*x^9 + 16422912*x^10 + 4478976*x^11)),x]","\frac{4 e^x}{x (x+2) \left(1296 x^4-288 x^3-200 x^2+48 e^x \left(36 x^2-4 x-3\right) x+8 e^{2 x} \left(108 x^2-4 x-3\right)+192 e^{3 x} x+8 x+16 e^{4 x}+9\right)}","\frac{e^x}{4 x (x+2) \left(\left(-\left(3 x+e^x\right)^2+x+\frac{3}{4}\right)^2-x\right)}",1,"(4*E^x)/(x*(2 + x)*(9 + 16*E^(4*x) + 8*x + 192*E^(3*x)*x - 200*x^2 - 288*x^3 + 1296*x^4 + 48*E^x*x*(-3 - 4*x + 36*x^2) + 8*E^(2*x)*(-3 - 4*x + 108*x^2)))","B",1
3525,1,26,36,1.1277802,"\int \frac{e^{e^{-\frac{2 x}{3+e^{\frac{3-3 x}{x^2}}}} x+x^2} \left(18 x^2+12 e^{\frac{3-3 x}{x^2}} x^2+2 e^{\frac{2 (3-3 x)}{x^2}} x^2+e^{-\frac{2 x}{3+e^{\frac{3-3 x}{x^2}}}} \left(9 x+e^{\frac{2 (3-3 x)}{x^2}} x-6 x^2+e^{\frac{3-3 x}{x^2}} \left(-12+12 x-2 x^2\right)\right)\right)}{9 x+6 e^{\frac{3-3 x}{x^2}} x+e^{\frac{2 (3-3 x)}{x^2}} x} \, dx","Integrate[(E^(x/E^((2*x)/(3 + E^((3 - 3*x)/x^2))) + x^2)*(18*x^2 + 12*E^((3 - 3*x)/x^2)*x^2 + 2*E^((2*(3 - 3*x))/x^2)*x^2 + (9*x + E^((2*(3 - 3*x))/x^2)*x - 6*x^2 + E^((3 - 3*x)/x^2)*(-12 + 12*x - 2*x^2))/E^((2*x)/(3 + E^((3 - 3*x)/x^2)))))/(9*x + 6*E^((3 - 3*x)/x^2)*x + E^((2*(3 - 3*x))/x^2)*x),x]","e^{x \left(e^{-\frac{2 x}{e^{\frac{3-3 x}{x^2}}+3}}+x\right)}","e^{x \left(x+e^{\frac{2 x}{-e^{\frac{3}{\frac{x}{1-x}-x}}-3}}\right)}",1,"E^(x*(E^((-2*x)/(3 + E^((3 - 3*x)/x^2))) + x))","A",1
3526,1,20,20,0.3193481,"\int \frac{7 e^3-7 e^{x^2}+e^{x^2} \left(7-14 x^2\right) \log (x)}{5 e^6+10 e^3 x+5 x^2+e^{x^2} \left(10 e^3+10 x\right) \log (x)+5 e^{2 x^2} \log ^2(x)} \, dx","Integrate[(7*E^3 - 7*E^x^2 + E^x^2*(7 - 14*x^2)*Log[x])/(5*E^6 + 10*E^3*x + 5*x^2 + E^x^2*(10*E^3 + 10*x)*Log[x] + 5*E^(2*x^2)*Log[x]^2),x]","\frac{7 x}{5 \left(e^{x^2} \log (x)+x+e^3\right)}","\frac{7 x}{5 \left(e^{x^2} \log (x)+x+e^3\right)}",1,"(7*x)/(5*(E^3 + x + E^x^2*Log[x]))","A",1
3527,1,37,35,0.1206795,"\int \frac{-1+2 x-e^2 x^2+e^{2+\frac{2}{x}} \left(2-2 x-x^2\right)+e^x \left(2 x^3-3 x^4+x^6\right)}{x^2-2 x^3+x^4} \, dx","Integrate[(-1 + 2*x - E^2*x^2 + E^(2 + 2/x)*(2 - 2*x - x^2) + E^x*(2*x^3 - 3*x^4 + x^6))/(x^2 - 2*x^3 + x^4),x]","\frac{e^x (x-1) x^3+e^{\frac{2}{x}+2} x+e^2 x-1}{(x-1) x}","e^x x^2+\frac{1-e^2 \left(e^{2/x}+1\right) x}{x-x^2}",1,"(-1 + E^2*x + E^(2 + 2/x)*x + E^x*(-1 + x)*x^3)/((-1 + x)*x)","A",1
3528,1,13,33,0.0036391,"\int \frac{1}{3} \left(1-3 e^{5+x}\right) \, dx","Integrate[(1 - 3*E^(5 + x))/3,x]","\frac{x}{3}-e^{x+5}","x-e^{x+5}+\frac{1}{3} \left(-2 x-1-\frac{1}{\log \left(\log \left(\frac{5}{4}\right)\right)+i \pi }\right)",1,"-E^(5 + x) + x/3","A",1
3529,1,35,29,0.1513361,"\int \frac{e^{-2+x} \left(20+10 e^{2-x}-20 x+15 x^2+15 x^3+\left(10 x^3+5 x^4\right) \log (3)-10 e^{2-x} \log (x)\right)}{2 x^2} \, dx","Integrate[(E^(-2 + x)*(20 + 10*E^(2 - x) - 20*x + 15*x^2 + 15*x^3 + (10*x^3 + 5*x^4)*Log[3] - 10*E^(2 - x)*Log[x]))/(2*x^2),x]","\frac{5 \left(e^x \left(x^3 \log (3)+3 x^2-4\right)+2 e^2 \log (x)\right)}{2 e^2 x}","\frac{5 \left(e^{x-2} \left(\frac{1}{2} x^2 (x \log (3)+3)-2\right)+\log (x)\right)}{x}",1,"(5*(E^x*(-4 + 3*x^2 + x^3*Log[3]) + 2*E^2*Log[x]))/(2*E^2*x)","A",1
3530,1,24,27,0.0072922,"\int \frac{-16-2 x^2+8 x^3+8 e^5 x^3+8 x^5}{x^2} \, dx","Integrate[(-16 - 2*x^2 + 8*x^3 + 8*E^5*x^3 + 8*x^5)/x^2,x]","2 x^4+4 \left(1+e^5\right) x^2-2 x+\frac{16}{x}","2 \left(\left(x^2+e^5+1\right)^2-x+e^3+4\right)+\frac{16}{x}-5",1,"16/x - 2*x + 4*(1 + E^5)*x^2 + 2*x^4","A",1
3531,1,20,18,0.0023856,"\int \left(1-4 x+(1-4 x) \log \left(\frac{e}{625}\right)+\left(1+\log \left(\frac{e}{625}\right)\right) \log (\log (2))\right) \, dx","Integrate[1 - 4*x + (1 - 4*x)*Log[E/625] + (1 + Log[E/625])*Log[Log[2]],x]","(\log (625)-2) \left(2 x^2-x-x \log (\log (2))\right)","x \left(1+\log \left(\frac{e}{625}\right)\right) (-2 x+1+\log (\log (2)))",1,"(-2 + Log[625])*(-x + 2*x^2 - x*Log[Log[2]])","A",1
3532,1,8,27,0.0000647,"\int \frac{1}{5+\log (5)} \, dx","Integrate[(5 + Log[5])^(-1),x]","\frac{x}{5+\log (5)}","x^2-\left(x-\frac{1}{2}\right)^2-x+\frac{x}{5+\log (5)}+e+\log (3)",1,"x/(5 + Log[5])","A",1
3533,1,23,21,6.0427653,"\int \frac{\exp \left(\frac{92416-184832 x^2-92416 x^3+138624 x^4+138624 x^5-11552 x^6-69312 x^7-28880 x^8+5776 x^9+8664 x^{10}+2888 x^{11}+361 x^{12}+e \left(-9728+19456 x^2+9728 x^3-14592 x^4-14592 x^5+1216 x^6+7296 x^7+3040 x^8-608 x^9-912 x^{10}-304 x^{11}-38 x^{12}\right)+e^2 \left(256-512 x^2-256 x^3+384 x^4+384 x^5-32 x^6-192 x^7-80 x^8+16 x^9+24 x^{10}+8 x^{11}+x^{12}\right)}{x^4}\right) \left(-369664+369664 x^2+92416 x^3+138624 x^5-23104 x^6-207936 x^7-115520 x^8+28880 x^9+51984 x^{10}+20216 x^{11}+2888 x^{12}+e \left(38912-38912 x^2-9728 x^3-14592 x^5+2432 x^6+21888 x^7+12160 x^8-3040 x^9-5472 x^{10}-2128 x^{11}-304 x^{12}\right)+e^2 \left(-1024+1024 x^2+256 x^3+384 x^5-64 x^6-576 x^7-320 x^8+80 x^9+144 x^{10}+56 x^{11}+8 x^{12}\right)\right)}{x^5} \, dx","Integrate[(E^((92416 - 184832*x^2 - 92416*x^3 + 138624*x^4 + 138624*x^5 - 11552*x^6 - 69312*x^7 - 28880*x^8 + 5776*x^9 + 8664*x^10 + 2888*x^11 + 361*x^12 + E*(-9728 + 19456*x^2 + 9728*x^3 - 14592*x^4 - 14592*x^5 + 1216*x^6 + 7296*x^7 + 3040*x^8 - 608*x^9 - 912*x^10 - 304*x^11 - 38*x^12) + E^2*(256 - 512*x^2 - 256*x^3 + 384*x^4 + 384*x^5 - 32*x^6 - 192*x^7 - 80*x^8 + 16*x^9 + 24*x^10 + 8*x^11 + x^12))/x^4)*(-369664 + 369664*x^2 + 92416*x^3 + 138624*x^5 - 23104*x^6 - 207936*x^7 - 115520*x^8 + 28880*x^9 + 51984*x^10 + 20216*x^11 + 2888*x^12 + E*(38912 - 38912*x^2 - 9728*x^3 - 14592*x^5 + 2432*x^6 + 21888*x^7 + 12160*x^8 - 3040*x^9 - 5472*x^10 - 2128*x^11 - 304*x^12) + E^2*(-1024 + 1024*x^2 + 256*x^3 + 384*x^5 - 64*x^6 - 576*x^7 - 320*x^8 + 80*x^9 + 144*x^10 + 56*x^11 + 8*x^12)))/x^5,x]","e^{\frac{(e-19)^2 \left(x^3+2 x^2-4\right)^4}{x^4}}","e^{(e-19)^2 x^4 \left(-\frac{4}{x^2}+x+2\right)^4}",1,"E^(((-19 + E)^2*(-4 + 2*x^2 + x^3)^4)/x^4)","A",1
3534,1,81,28,0.5266919,"\int \frac{-125 x-200 x^2-90 x^3-16 x^4-x^5+\left(-50 x-20 x^2-2 x^3\right) \log (4)+e^x \left(-625-1000 x-450 x^2-80 x^3-5 x^4+\left(-250 x-100 x^2-10 x^3\right) \log (4)\right)+\left(e^x \left(125+100 x+15 x^2\right) \log (4)+\left(25 x+20 x^2+3 x^3\right) \log (4)\right) \log \left(\frac{1}{5} \left(5 e^x+x\right)\right)}{-40500 x+97200 x^2-53460 x^3-18144 x^4+10692 x^5+3888 x^6+324 x^7+e^x \left(-202500+486000 x-267300 x^2-90720 x^3+53460 x^4+19440 x^5+1620 x^6\right)+\left(e^x \left(121500-194400 x+29160 x^2+38880 x^3+4860 x^4\right) \log (4)+\left(24300 x-38880 x^2+5832 x^3+7776 x^4+972 x^5\right) \log (4)\right) \log \left(\frac{1}{5} \left(5 e^x+x\right)\right)+\left(e^x \left(-24300+19440 x+4860 x^2\right) \log ^2(4)+\left(-4860 x+3888 x^2+972 x^3\right) \log ^2(4)\right) \log ^2\left(\frac{1}{5} \left(5 e^x+x\right)\right)+\left(1620 e^x \log ^3(4)+324 x \log ^3(4)\right) \log ^3\left(\frac{1}{5} \left(5 e^x+x\right)\right)} \, dx","Integrate[(-125*x - 200*x^2 - 90*x^3 - 16*x^4 - x^5 + (-50*x - 20*x^2 - 2*x^3)*Log[4] + E^x*(-625 - 1000*x - 450*x^2 - 80*x^3 - 5*x^4 + (-250*x - 100*x^2 - 10*x^3)*Log[4]) + (E^x*(125 + 100*x + 15*x^2)*Log[4] + (25*x + 20*x^2 + 3*x^3)*Log[4])*Log[(5*E^x + x)/5])/(-40500*x + 97200*x^2 - 53460*x^3 - 18144*x^4 + 10692*x^5 + 3888*x^6 + 324*x^7 + E^x*(-202500 + 486000*x - 267300*x^2 - 90720*x^3 + 53460*x^4 + 19440*x^5 + 1620*x^6) + (E^x*(121500 - 194400*x + 29160*x^2 + 38880*x^3 + 4860*x^4)*Log[4] + (24300*x - 38880*x^2 + 5832*x^3 + 7776*x^4 + 972*x^5)*Log[4])*Log[(5*E^x + x)/5] + (E^x*(-24300 + 19440*x + 4860*x^2)*Log[4]^2 + (-4860*x + 3888*x^2 + 972*x^3)*Log[4]^2)*Log[(5*E^x + x)/5]^2 + (1620*E^x*Log[4]^3 + 324*x*Log[4]^3)*Log[(5*E^x + x)/5]^3),x]","\frac{x (x+5)^2 \left(4 x^2+8 x+5 e^x (4 x+8+\log (16))+\log (16)\right)}{648 \left(2 x^2+4 x+5 e^x (2 x+4+\log (4))+\log (4)\right) \left(x^2+4 x+\log (4) \log \left(\frac{x}{5}+e^x\right)-5\right)^2}","\frac{x}{324 \left(x+\frac{\log (4) \log \left(\frac{x}{5}+e^x\right)}{x+5}-1\right)^2}",1,"(x*(5 + x)^2*(8*x + 4*x^2 + Log[16] + 5*E^x*(8 + 4*x + Log[16])))/(648*(4*x + 2*x^2 + Log[4] + 5*E^x*(4 + 2*x + Log[4]))*(-5 + 4*x + x^2 + Log[4]*Log[E^x + x/5])^2)","B",1
3535,1,25,25,0.1034522,"\int \frac{-e^{360 x^2-120 x^3+10 x^4} x+\left(e^{360 x^2-120 x^3+10 x^4} \left(-4+2 x-2880 x^2+2880 x^3-880 x^4+80 x^5\right)+e^{360 x^2-120 x^3+10 x^4} \left(-2+x-1440 x^2+1440 x^3-440 x^4+40 x^5\right) \log (2-x)\right) \log (2+\log (2-x))}{(-4+2 x+(-2+x) \log (2-x)) \log ^2(2+\log (2-x))} \, dx","Integrate[(-(E^(360*x^2 - 120*x^3 + 10*x^4)*x) + (E^(360*x^2 - 120*x^3 + 10*x^4)*(-4 + 2*x - 2880*x^2 + 2880*x^3 - 880*x^4 + 80*x^5) + E^(360*x^2 - 120*x^3 + 10*x^4)*(-2 + x - 1440*x^2 + 1440*x^3 - 440*x^4 + 40*x^5)*Log[2 - x])*Log[2 + Log[2 - x]])/((-4 + 2*x + (-2 + x)*Log[2 - x])*Log[2 + Log[2 - x]]^2),x]","\frac{e^{10 (x-6)^2 x^2} x}{\log (\log (2-x)+2)}","\frac{e^{10 (x-6)^2 x^2} x}{\log (\log (2-x)+2)}",1,"(E^(10*(-6 + x)^2*x^2)*x)/Log[2 + Log[2 - x]]","A",1
3536,0,0,27,9.6235401,"\int \frac{e^{-3+e^{4+x+e^5 (4+x)}} \left(2 x^2 \log (1-x)+\left(-2 x+2 x^2+e^{4+x+e^5 (4+x)} \left(-x^2+x^3+e^5 \left(-x^2+x^3\right)\right)\right) \log ^2(1-x)\right)}{-1+x} \, dx","Integrate[(E^(-3 + E^(4 + x + E^5*(4 + x)))*(2*x^2*Log[1 - x] + (-2*x + 2*x^2 + E^(4 + x + E^5*(4 + x))*(-x^2 + x^3 + E^5*(-x^2 + x^3)))*Log[1 - x]^2))/(-1 + x),x]","\int \frac{e^{-3+e^{4+x+e^5 (4+x)}} \left(2 x^2 \log (1-x)+\left(-2 x+2 x^2+e^{4+x+e^5 (4+x)} \left(-x^2+x^3+e^5 \left(-x^2+x^3\right)\right)\right) \log ^2(1-x)\right)}{-1+x} \, dx","e^{e^{\left(1+e^5\right) (x+4)}-3} x^2 \log ^2(1-x)",1,"Integrate[(E^(-3 + E^(4 + x + E^5*(4 + x)))*(2*x^2*Log[1 - x] + (-2*x + 2*x^2 + E^(4 + x + E^5*(4 + x))*(-x^2 + x^3 + E^5*(-x^2 + x^3)))*Log[1 - x]^2))/(-1 + x), x]","F",-1
3537,1,13,22,0.0072625,"\int \left(4 e^{e^x+x}-2 x\right) \, dx","Integrate[4*E^(E^x + x) - 2*x,x]","4 e^{e^x}-x^2","-x^2+4 e^{e^x}-4^{\frac{5}{e^4}}",1,"4*E^E^x - x^2","A",1
3538,1,54,35,1.1978247,"\int \frac{4 x^5+\left(-4 x^3-2 x^5\right) \log \left(4+4 x^2+x^4\right)+\left(-6-3 x^2\right) \log ^2\left(4+4 x^2+x^4\right)}{\left(-2 x^4-x^6\right) \log \left(4+4 x^2+x^4\right)+\left(6 x-2 x^2+3 x^3-x^4+\left(2 x^2+x^4\right) \log (5)\right) \log ^2\left(4+4 x^2+x^4\right)} \, dx","Integrate[(4*x^5 + (-4*x^3 - 2*x^5)*Log[4 + 4*x^2 + x^4] + (-6 - 3*x^2)*Log[4 + 4*x^2 + x^4]^2)/((-2*x^4 - x^6)*Log[4 + 4*x^2 + x^4] + (6*x - 2*x^2 + 3*x^3 - x^4 + (2*x^2 + x^4)*Log[5])*Log[4 + 4*x^2 + x^4]^2),x]","-\log \left(\log \left(\left(x^2+2\right)^2\right)\right)+\log \left(x^3-x \log (5) \log \left(\left(x^2+2\right)^2\right)+x \log \left(\left(x^2+2\right)^2\right)-3 \log \left(\left(x^2+2\right)^2\right)\right)-\log (x)","\log \left(-\frac{-x^2+x-3}{x}-\frac{x^2}{\log \left(\left(x^2+2\right)^2\right)}-x+\log (5)\right)",1,"-Log[x] - Log[Log[(2 + x^2)^2]] + Log[x^3 - 3*Log[(2 + x^2)^2] + x*Log[(2 + x^2)^2] - x*Log[5]*Log[(2 + x^2)^2]]","A",1
3539,1,43,33,0.1518363,"\int \frac{e^{-x^2} x \left(2 x^2+e^{2+2 e^{e^3}} \left(-2+2 x^2\right)+e^2 \left(-8+6 x^2+2 x^4\right)+e^{e^{e^3}} \left(-2 x+e^2 \left(4 x-4 x^3\right)\right)\right)+e^{-x^2} x \left(8-6 x^2-2 x^4+e^{2 e^{e^3}} \left(2-2 x^2\right)+e^{e^{e^3}} \left(-4 x+4 x^3\right)\right) \log \left(4+e^{2 e^{e^3}}-2 e^{e^{e^3}} x+x^2\right)}{4+e^{2 e^{e^3}}-2 e^{e^{e^3}} x+x^2} \, dx","Integrate[((x*(2*x^2 + E^(2 + 2*E^E^3)*(-2 + 2*x^2) + E^2*(-8 + 6*x^2 + 2*x^4) + E^E^E^3*(-2*x + E^2*(4*x - 4*x^3))))/E^x^2 + (x*(8 - 6*x^2 - 2*x^4 + E^(2*E^E^3)*(2 - 2*x^2) + E^E^E^3*(-4*x + 4*x^3))*Log[4 + E^(2*E^E^3) - 2*E^E^E^3*x + x^2])/E^x^2)/(4 + E^(2*E^E^3) - 2*E^E^E^3*x + x^2),x]","-e^{-x^2} x^2 \left(e^2-\log \left(x^2-2 e^{e^{e^3}} x+e^{2 e^{e^3}}+4\right)\right)","e^{-x^2} x^2 \left(\log \left(\left(e^{e^{e^3}}-x\right)^2+4\right)-e^2\right)",1,"-((x^2*(E^2 - Log[4 + E^(2*E^E^3) - 2*E^E^E^3*x + x^2]))/E^x^2)","A",1
3540,1,21,22,0.3019045,"\int \frac{-2+15 x-8 x^2+\left(1-6 x+3 x^2\right) \log (x)}{\left(-3 x+9 x^2-3 x^3+\left(x-3 x^2+x^3\right) \log (x)\right) \log \left(-54 x+162 x^2-54 x^3+\left(18 x-54 x^2+18 x^3\right) \log (4)+\left(18 x-54 x^2+18 x^3+\left(-6 x+18 x^2-6 x^3\right) \log (4)\right) \log (x)\right)} \, dx","Integrate[(-2 + 15*x - 8*x^2 + (1 - 6*x + 3*x^2)*Log[x])/((-3*x + 9*x^2 - 3*x^3 + (x - 3*x^2 + x^3)*Log[x])*Log[-54*x + 162*x^2 - 54*x^3 + (18*x - 54*x^2 + 18*x^3)*Log[4] + (18*x - 54*x^2 + 18*x^3 + (-6*x + 18*x^2 - 6*x^3)*Log[4])*Log[x]]),x]","\log \left(\log \left(-6 x \left(x^2-3 x+1\right) (\log (4)-3) (\log (x)-3)\right)\right)","\log \left(\log \left(6 x \left(x-(x-1)^2\right) (\log (4)-3) (\log (x)-3)\right)\right)",1,"Log[Log[-6*x*(1 - 3*x + x^2)*(-3 + Log[4])*(-3 + Log[x])]]","A",1
3541,1,22,24,0.1439711,"\int \frac{e^{\frac{625}{25 x^3-10 x^4+x^5}} (-9375+3125 x)+e^x \left(125 x^2-200 x^3+90 x^4-16 x^5+x^6\right)}{-125 x^4+75 x^5-15 x^6+x^7} \, dx","Integrate[(E^(625/(25*x^3 - 10*x^4 + x^5))*(-9375 + 3125*x) + E^x*(125*x^2 - 200*x^3 + 90*x^4 - 16*x^5 + x^6))/(-125*x^4 + 75*x^5 - 15*x^6 + x^7),x]","\frac{e^x}{x}-e^{\frac{625}{(x-5)^2 x^3}}","\frac{e^x}{x}-e^{\frac{625}{(5-x)^2 x^3}}",1,"-E^(625/((-5 + x)^2*x^3)) + E^x/x","A",1
3542,1,15,15,0.0491773,"\int \frac{e^x (-1-x)-3 x^2+\left(e^x x+x^3\right) \log \left(e^x x+x^3\right) \log ^2\left(\log \left(e^x x+x^3\right)\right)}{\left(e^x x+x^3\right) \log \left(e^x x+x^3\right) \log ^2\left(\log \left(e^x x+x^3\right)\right)} \, dx","Integrate[(E^x*(-1 - x) - 3*x^2 + (E^x*x + x^3)*Log[E^x*x + x^3]*Log[Log[E^x*x + x^3]]^2)/((E^x*x + x^3)*Log[E^x*x + x^3]*Log[Log[E^x*x + x^3]]^2),x]","\frac{1}{\log \left(\log \left(x \left(x^2+e^x\right)\right)\right)}+x","\frac{1}{\log \left(\log \left(x^3+e^x x\right)\right)}+x",1,"x + Log[Log[x*(E^x + x^2)]]^(-1)","A",1
3543,1,26,29,3.419951,"\int \frac{2 x^2-4 x^3+\left(-16 x+4 e^4 x-4 x^2+4 x^3\right) \log \left(-4+e^4-x+x^2\right)}{-4 x^4+e^4 x^4-x^5+x^6+\left(16 x^2-4 e^4 x^2+4 x^3-4 x^4\right) \log \left(-4+e^4-x+x^2\right)+\left(-16+4 e^4-4 x+4 x^2\right) \log ^2\left(-4+e^4-x+x^2\right)} \, dx","Integrate[(2*x^2 - 4*x^3 + (-16*x + 4*E^4*x - 4*x^2 + 4*x^3)*Log[-4 + E^4 - x + x^2])/(-4*x^4 + E^4*x^4 - x^5 + x^6 + (16*x^2 - 4*E^4*x^2 + 4*x^3 - 4*x^4)*Log[-4 + E^4 - x + x^2] + (-16 + 4*E^4 - 4*x + 4*x^2)*Log[-4 + E^4 - x + x^2]^2),x]","\frac{x^2}{2 \log \left(x^2-x+e^4-4\right)-x^2}","\frac{x}{\frac{2 \left(\log \left(x^2-x+e^4-4\right)-x^2\right)}{x}+x}",1,"x^2/(-x^2 + 2*Log[-4 + E^4 - x + x^2])","A",1
3544,1,30,25,0.0328039,"\int \frac{-8 x-32 x^2-16 x^3+\left(2-12 x-62 x^2-32 x^3\right) \log (2)}{\left(x+2 x^2+x^3\right) \log (2)} \, dx","Integrate[(-8*x - 32*x^2 - 16*x^3 + (2 - 12*x - 62*x^2 - 32*x^3)*Log[2])/((x + 2*x^2 + x^3)*Log[2]),x]","-\frac{2 \left(8 x (1+\log (4))-\log (2) \log (x)+\frac{4+\log (256)}{x+1}\right)}{\log (2)}","\log \left(x^2\right)-4 x \left(\frac{x}{x+1}+1\right) \left(4+\frac{2}{\log (2)}\right)",1,"(-2*(8*x*(1 + Log[4]) + (4 + Log[256])/(1 + x) - Log[2]*Log[x]))/Log[2]","A",1
3545,1,21,24,0.0508714,"\int \frac{4-x+x^2+\left(4 x^2-x^3\right) \log (5)+\left(-8 x+2 x^2\right) \log (-4+x)}{-4+x} \, dx","Integrate[(4 - x + x^2 + (4*x^2 - x^3)*Log[5] + (-8*x + 2*x^2)*Log[-4 + x])/(-4 + x),x]","-\frac{1}{3} x^3 \log (5)+x^2 \log (x-4)-x","\log \left(e^{x^2 \left(\log (x-4)-\frac{1}{3} x \log (5)\right)-x+1}\right)",1,"-x - (x^3*Log[5])/3 + x^2*Log[-4 + x]","A",1
3546,1,31,31,0.1596171,"\int \frac{e^{3-e^{\log ^2(5)}} \left(10 x+4 x^2+2 x^3+\left(2+2 x-2 x^2-2 x^3\right) \log \left(1-x^2\right)\right)}{-25-20 x+11 x^2+16 x^3+13 x^4+4 x^5+x^6} \, dx","Integrate[(E^(3 - E^Log[5]^2)*(10*x + 4*x^2 + 2*x^3 + (2 + 2*x - 2*x^2 - 2*x^3)*Log[1 - x^2]))/(-25 - 20*x + 11*x^2 + 16*x^3 + 13*x^4 + 4*x^5 + x^6),x]","\frac{e^{3-e^{\log ^2(5)}} \log \left(1-x^2\right)}{x^2+2 x+5}","\frac{e^{3-e^{\log ^2(5)}} \log \left(1-x^2\right)}{x^2+2 x+5}",1,"(E^(3 - E^Log[5]^2)*Log[1 - x^2])/(5 + 2*x + x^2)","A",1
3547,1,53,29,0.3441707,"\int \frac{\exp \left(81 x^2+216 x^2 \log \left(-e^{-4+x}+x^2-\log (x)\right)+144 x^2 \log ^2\left(-e^{-4+x}+x^2-\log (x)\right)\right) \left(216 x-594 x^3+e^{-4+x} \left(162 x+216 x^2\right)+162 x \log (x)+\left(288 x-1008 x^3+e^{-4+x} \left(432 x+288 x^2\right)+432 x \log (x)\right) \log \left(-e^{-4+x}+x^2-\log (x)\right)+\left(288 e^{-4+x} x-288 x^3+288 x \log (x)\right) \log ^2\left(-e^{-4+x}+x^2-\log (x)\right)\right)}{e^{-4+x}-x^2+\log (x)} \, dx","Integrate[(E^(81*x^2 + 216*x^2*Log[-E^(-4 + x) + x^2 - Log[x]] + 144*x^2*Log[-E^(-4 + x) + x^2 - Log[x]]^2)*(216*x - 594*x^3 + E^(-4 + x)*(162*x + 216*x^2) + 162*x*Log[x] + (288*x - 1008*x^3 + E^(-4 + x)*(432*x + 288*x^2) + 432*x*Log[x])*Log[-E^(-4 + x) + x^2 - Log[x]] + (288*E^(-4 + x)*x - 288*x^3 + 288*x*Log[x])*Log[-E^(-4 + x) + x^2 - Log[x]]^2))/(E^(-4 + x) - x^2 + Log[x]),x]","e^{81 x^2+144 x^2 \log ^2\left(x^2-e^{x-4}-\log (x)\right)} \left(x^2-e^{x-4}-\log (x)\right)^{216 x^2}","e^{9 x^2 \left(4 \log \left(x^2-e^{x-4}-\log (x)\right)+3\right)^2}",1,"E^(81*x^2 + 144*x^2*Log[-E^(-4 + x) + x^2 - Log[x]]^2)*(-E^(-4 + x) + x^2 - Log[x])^(216*x^2)","A",1
3548,1,58,32,0.2005423,"\int \exp \left(\frac{4-12 \log (3)+e^{2 e^{3+x}} \log ^2(3)+e^{e^{3+x}} \left(-4+2 x-2 x^2\right) \log ^2(3)+\left(13-4 x+5 x^2-2 x^3+x^4\right) \log ^2(3)}{\log ^2(3)}\right) \left(-4+2 e^{3+2 e^{3+x}+x}+10 x-6 x^2+4 x^3+e^{e^{3+x}} \left(2-4 x+e^{3+x} \left(-4+2 x-2 x^2\right)\right)\right) \, dx","Integrate[E^((4 - 12*Log[3] + E^(2*E^(3 + x))*Log[3]^2 + E^E^(3 + x)*(-4 + 2*x - 2*x^2)*Log[3]^2 + (13 - 4*x + 5*x^2 - 2*x^3 + x^4)*Log[3]^2)/Log[3]^2)*(-4 + 2*E^(3 + 2*E^(3 + x) + x) + 10*x - 6*x^2 + 4*x^3 + E^E^(3 + x)*(2 - 4*x + E^(3 + x)*(-4 + 2*x - 2*x^2))),x]","\exp \left(x^4-2 x^3+5 x^2-2 e^{e^{x+3}} \left(x^2-x+2\right)-4 x+e^{2 e^{x+3}}+13-\frac{4 (3 \log (3)-1)}{\log ^2(3)}\right)","e^{\left(x^2-x-e^{e^{x+3}}+2\right)^2+\left(3-\frac{2}{\log (3)}\right)^2}",1,"E^(13 + E^(2*E^(3 + x)) - 4*x + 5*x^2 - 2*x^3 + x^4 - 2*E^E^(3 + x)*(2 - x + x^2) - (4*(-1 + 3*Log[3]))/Log[3]^2)","A",1
3549,1,37,27,0.0046491,"\int \frac{1+e^4+e^9 \left(-640+752 x-288 x^2+36 x^3\right)}{e^4} \, dx","Integrate[(1 + E^4 + E^9*(-640 + 752*x - 288*x^2 + 36*x^3))/E^4,x]","9 e^5 x^4-96 e^5 x^3+376 e^5 x^2-640 e^5 x+\frac{x}{e^4}+x","e^5 (4-2 x)^2 \left(\frac{3 x}{2}-5\right)^2+\frac{x}{e^4}+x",1,"x + x/E^4 - 640*E^5*x + 376*E^5*x^2 - 96*E^5*x^3 + 9*E^5*x^4","A",1
3550,1,17,27,0.0547303,"\int \frac{-x^2+e^{\frac{1-2 x+2 x^2}{x}} \left(-1+2 x^2\right)}{e^2 x^2} \, dx","Integrate[(-x^2 + E^((1 - 2*x + 2*x^2)/x)*(-1 + 2*x^2))/(E^2*x^2),x]","e^{2 x+\frac{1}{x}-4}-\frac{x}{e^2}","\frac{-x+e^{\frac{1}{x}-2 (1-x)}-e^2-14}{e^2}",1,"E^(-4 + x^(-1) + 2*x) - x/E^2","A",1
3551,0,0,20,4.103223,"\int \frac{\exp \left(\frac{2563093129+2096362816 x+688675888 x^2+115651112 x^3+10505414 x^4+513920 x^5+13600 x^6+184 x^7+x^8}{1+4 x+6 x^2+4 x^3+x^4}\right) \left(-8156009700-4911736672 x-1030398440 x^2-73629456 x^3+2569600 x^4+595520 x^5+28488 x^6+560 x^7+4 x^8\right)}{1+5 x+10 x^2+10 x^3+5 x^4+x^5} \, dx","Integrate[(E^((2563093129 + 2096362816*x + 688675888*x^2 + 115651112*x^3 + 10505414*x^4 + 513920*x^5 + 13600*x^6 + 184*x^7 + x^8)/(1 + 4*x + 6*x^2 + 4*x^3 + x^4))*(-8156009700 - 4911736672*x - 1030398440*x^2 - 73629456*x^3 + 2569600*x^4 + 595520*x^5 + 28488*x^6 + 560*x^7 + 4*x^8))/(1 + 5*x + 10*x^2 + 10*x^3 + 5*x^4 + x^5),x]","\int \frac{\exp \left(\frac{2563093129+2096362816 x+688675888 x^2+115651112 x^3+10505414 x^4+513920 x^5+13600 x^6+184 x^7+x^8}{1+4 x+6 x^2+4 x^3+x^4}\right) \left(-8156009700-4911736672 x-1030398440 x^2-73629456 x^3+2569600 x^4+595520 x^5+28488 x^6+560 x^7+4 x^8\right)}{1+5 x+10 x^2+10 x^3+5 x^4+x^5} \, dx","e^{\left(\left(x+\frac{45 (x+5)}{x+1}\right)^2+2\right)^2}",1,"Integrate[(E^((2563093129 + 2096362816*x + 688675888*x^2 + 115651112*x^3 + 10505414*x^4 + 513920*x^5 + 13600*x^6 + 184*x^7 + x^8)/(1 + 4*x + 6*x^2 + 4*x^3 + x^4))*(-8156009700 - 4911736672*x - 1030398440*x^2 - 73629456*x^3 + 2569600*x^4 + 595520*x^5 + 28488*x^6 + 560*x^7 + 4*x^8))/(1 + 5*x + 10*x^2 + 10*x^3 + 5*x^4 + x^5), x]","F",-1
3552,1,30,24,0.4563384,"\int \frac{e^2 (-1+x)-4 x^2+2 e^x x^2+3 x^3+x^4-x^2 \log (25)}{e^2 x-5 x^2+e^x x^2+x^3+x^4-x^2 \log (25)} \, dx","Integrate[(E^2*(-1 + x) - 4*x^2 + 2*E^x*x^2 + 3*x^3 + x^4 - x^2*Log[25])/(E^2*x - 5*x^2 + E^x*x^2 + x^3 + x^4 - x^2*Log[25]),x]","\log \left(x^3+x^2+e^x x-5 x-x \log (25)+e^2\right)+x-\log (x)","\log \left(x^2+x+e^x+\frac{e^2}{x}-5-\log (25)\right)+x+5",1,"x - Log[x] + Log[E^2 - 5*x + E^x*x + x^2 + x^3 - x*Log[25]]","A",1
3553,1,22,24,0.0235893,"\int \frac{-3 e^2 x^2-6 e x^3-3 x^4+\left(16 e+2 e^2 (-8 e-12 x)+24 x\right) \log ^2(x)}{\left(e^2 x^3+2 e x^4+x^5\right) \log ^2(x)} \, dx","Integrate[(-3*E^2*x^2 - 6*E*x^3 - 3*x^4 + (16*E + 2*E^2*(-8*E - 12*x) + 24*x)*Log[x]^2)/((E^2*x^3 + 2*E*x^4 + x^5)*Log[x]^2),x]","\frac{8 \left(e^2-1\right)}{x^2 (x+e)}+\frac{3}{\log (x)}","\frac{4 \left(2 e^2-2\right)}{x^2 (x+e)}+\frac{3}{\log (x)}",1,"(8*(-1 + E^2))/(x^2*(E + x)) + 3/Log[x]","A",1
3554,1,17,20,0.2075908,"\int \frac{640+2 e^{2 e^{e^x}+e^x+x}}{-256+e^{2 e^{e^x}}+640 x} \, dx","Integrate[(640 + 2*E^(2*E^E^x + E^x + x))/(-256 + E^(2*E^E^x) + 640*x),x]","\log \left(-640 x-e^{2 e^{e^x}}+256\right)","\log \left(5 \left(e^{2 e^{e^x}}-64 (4-10 x)\right)\right)",1,"Log[256 - E^(2*E^E^x) - 640*x]","A",1
3555,1,16,14,0.0767913,"\int \frac{-144 x+(431+144 x+144 \log (2)) \log \left(\frac{1}{9} (431+144 x+144 \log (2))\right)}{(431+144 x+144 \log (2)) \log ^2\left(\frac{1}{9} (431+144 x+144 \log (2))\right)} \, dx","Integrate[(-144*x + (431 + 144*x + 144*Log[2])*Log[(431 + 144*x + 144*Log[2])/9])/((431 + 144*x + 144*Log[2])*Log[(431 + 144*x + 144*Log[2])/9]^2),x]","\frac{x}{\log \left(16 x+\frac{431}{9}+16 \log (2)\right)}","\frac{x}{\log \left(16 \left(x+\frac{431}{144}+\log (2)\right)\right)}",1,"x/Log[431/9 + 16*x + 16*Log[2]]","A",1
3556,1,26,28,0.1175064,"\int \frac{e^{\frac{-4+3 e^x (-2+x)+2 x-x^2}{2+3 e^x}} \left(-20+20 x-20 x^2+9 e^{2 x} (-5+5 x)+3 e^x \left(-20+20 x-10 x^2+5 x^3\right)\right)}{8 x^2+24 e^x x^2+18 e^{2 x} x^2} \, dx","Integrate[(E^((-4 + 3*E^x*(-2 + x) + 2*x - x^2)/(2 + 3*E^x))*(-20 + 20*x - 20*x^2 + 9*E^(2*x)*(-5 + 5*x) + 3*E^x*(-20 + 20*x - 10*x^2 + 5*x^3)))/(8*x^2 + 24*E^x*x^2 + 18*E^(2*x)*x^2),x]","\frac{5 e^{-\frac{x^2}{3 e^x+2}+x-2}}{2 x}","\frac{5 e^{-\frac{x^2}{3 e^x+2}+x-2}}{2 x}-1",1,"(5*E^(-2 + x - x^2/(2 + 3*E^x)))/(2*x)","A",1
3557,1,13,20,0.0052353,"\int \frac{2+5 x-2 e^x x}{x} \, dx","Integrate[(2 + 5*x - 2*E^x*x)/x,x]","5 x-2 e^x+2 \log (x)","x-2 \left(-2 x+e^x-\log (x)+5-\log (4)\right)",1,"-2*E^x + 5*x + 2*Log[x]","A",1
3558,1,28,30,0.182494,"\int \left(311700512 x+46515384 x^2-60477948 x^3-3731570 x^4+2321298 x^5-8694 x^6+8 x^7+e^x \left(32 x+40 x^2+12 x^3+x^4\right)+e^{x/2} \left(-199744 x-139744 x^2-64 x^3+8033 x^4+605 x^5-x^6\right)\right) \, dx","Integrate[311700512*x + 46515384*x^2 - 60477948*x^3 - 3731570*x^4 + 2321298*x^5 - 8694*x^6 + 8*x^7 + E^x*(32*x + 40*x^2 + 12*x^3 + x^4) + E^(x/2)*(-199744*x - 139744*x^2 - 64*x^3 + 8033*x^4 + 605*x^5 - x^6),x]","x^2 (x+4)^2 \left(x^2-625 x-e^{x/2}+3121\right)^2","x^2 (x+4)^2 \left(-x^2+e^{x/2}+625 (x-5)+4\right)^2",1,"x^2*(4 + x)^2*(3121 - E^(x/2) - 625*x + x^2)^2","A",1
3559,1,30,30,0.0712662,"\int \frac{e^{e^5} \left(4 x^2-4 x^4\right)+\left(e^{e^5} \left(-8 x^2+2 x^4+e^5 \left(-8+2 x^2\right)\right)+e^{e^5} \left(-24+6 x^2\right) \log \left(\frac{1}{2} \left(-4+x^2\right)\right)\right) \log \left(e^5+x^2+3 \log \left(\frac{1}{2} \left(-4+x^2\right)\right)\right)}{\left(-4 x^2+x^4+e^5 \left(-4+x^2\right)+\left(-12+3 x^2\right) \log \left(\frac{1}{2} \left(-4+x^2\right)\right)\right) \log ^2\left(e^5+x^2+3 \log \left(\frac{1}{2} \left(-4+x^2\right)\right)\right)} \, dx","Integrate[(E^E^5*(4*x^2 - 4*x^4) + (E^E^5*(-8*x^2 + 2*x^4 + E^5*(-8 + 2*x^2)) + E^E^5*(-24 + 6*x^2)*Log[(-4 + x^2)/2])*Log[E^5 + x^2 + 3*Log[(-4 + x^2)/2]])/((-4*x^2 + x^4 + E^5*(-4 + x^2) + (-12 + 3*x^2)*Log[(-4 + x^2)/2])*Log[E^5 + x^2 + 3*Log[(-4 + x^2)/2]]^2),x]","\frac{2 e^{e^5} x}{\log \left(x^2+3 \log \left(\frac{1}{2} \left(x^2-4\right)\right)+e^5\right)}","\frac{2 e^{e^5} x}{\log \left(x^2+3 \log \left(\frac{x^2}{2}-2\right)+e^5\right)}",1,"(2*E^E^5*x)/Log[E^5 + x^2 + 3*Log[(-4 + x^2)/2]]","A",1
3560,1,33,27,0.1208219,"\int \frac{8 x+(12 x-8 x \log (x)) \log (\log (x))-24 x \log (x) \log ^2(\log (x))+(-18-36 x) \log (x) \log ^3(\log (x))}{9 \log (x) \log ^3(\log (x))} \, dx","Integrate[(8*x + (12*x - 8*x*Log[x])*Log[Log[x]] - 24*x*Log[x]*Log[Log[x]]^2 + (-18 - 36*x)*Log[x]*Log[Log[x]]^3)/(9*Log[x]*Log[Log[x]]^3),x]","-2 x^2-\frac{4 x^2}{9 \log ^2(\log (x))}-\frac{4 x^2}{3 \log (\log (x))}-2 x","2 x-x (x+4)-\left(x+\frac{2 x}{3 \log (\log (x))}\right)^2+8",1,"-2*x - 2*x^2 - (4*x^2)/(9*Log[Log[x]]^2) - (4*x^2)/(3*Log[Log[x]])","A",1
3561,1,26,20,0.0234685,"\int \frac{x^2+12 x^3+\left(-12 x+2 x^2+24 x^3\right) \log (x)+(-1-12 x) \log \left(\frac{1}{3} (1+12 x)\right)}{3 x+36 x^2} \, dx","Integrate[(x^2 + 12*x^3 + (-12*x + 2*x^2 + 24*x^3)*Log[x] + (-1 - 12*x)*Log[(1 + 12*x)/3])/(3*x + 36*x^2),x]","\frac{1}{3} \left(x^2 \log (x)+\log (3) \log (x)-\log (x) \log (12 x+1)\right)","\frac{1}{3} \log (x) \left(x^2-\log \left(4 x+\frac{1}{3}\right)\right)",1,"(x^2*Log[x] + Log[3]*Log[x] - Log[x]*Log[1 + 12*x])/3","A",1
3562,1,6,6,0.0002874,"\int \frac{4 e}{x^3} \, dx","Integrate[(4*E)/x^3,x]","-\frac{2 e}{x^2}","-\frac{2 e}{x^2}",1,"(-2*E)/x^2","A",1
3563,1,43,27,0.0567884,"\int \frac{2 e^{2+2 x} x^3+10 x \log (2)-200 \log ^2(2)+e^{1+x} \left(-x^3+\left(-20 x+20 x^2\right) \log (2)\right)}{x^3} \, dx","Integrate[(2*E^(2 + 2*x)*x^3 + 10*x*Log[2] - 200*Log[2]^2 + E^(1 + x)*(-x^3 + (-20*x + 20*x^2)*Log[2]))/x^3,x]","\frac{100 \log ^2(2)}{x^2}-e^{x+1}+e^{2 x+2}+\frac{20 e^{x+1} \log (2)}{x}-\frac{10 \log (2)}{x}","\frac{\left(x \left(e^{x+1}+\frac{10 \log (2)}{x}\right)-\frac{x}{2}\right)^2}{x^2}",1,"-E^(1 + x) + E^(2 + 2*x) - (10*Log[2])/x + (20*E^(1 + x)*Log[2])/x + (100*Log[2]^2)/x^2","A",1
3564,1,13,17,0.0010749,"\int \left(4+6 x^2+\log (x)\right) \, dx","Integrate[4 + 6*x^2 + Log[x],x]","2 x^3+3 x+x \log (x)","x \left(2 x^2+\log (x)+2\right)+x+e^4-5",1,"3*x + 2*x^3 + x*Log[x]","A",1
3565,1,28,23,0.2211243,"\int \frac{(4+4 x) \log (1+x)+(-4-8 x) \log ^2(1+x)+\log (3 x) (-4 x+(4+8 x) \log (1+x))}{\left(x+x^2\right) \log (3 x) \log (1+x)+\left(-x-x^2\right) \log ^2(1+x)} \, dx","Integrate[((4 + 4*x)*Log[1 + x] + (-4 - 8*x)*Log[1 + x]^2 + Log[3*x]*(-4*x + (4 + 8*x)*Log[1 + x]))/((x + x^2)*Log[3*x]*Log[1 + x] + (-x - x^2)*Log[1 + x]^2),x]","4 (\log (x)+\log (x+1)+\log (\log (3 x)-\log (x+1))-\log (\log (x+1)))","4 \log \left((x+1) \left(\frac{x \log (3 x)}{\log (x+1)}-x\right)\right)",1,"4*(Log[x] + Log[1 + x] + Log[Log[3*x] - Log[1 + x]] - Log[Log[1 + x]])","A",1
3566,0,0,22,0.213586,"\int \frac{(10 x+10 x \log (4)+(20+20 \log (4)) \log (x)) \log \left(x+\log ^2(x)\right)+\left(-5 x-5 x \log (4)+(-5-5 \log (4)) \log ^2(x)\right) \log ^2\left(x+\log ^2(x)\right)}{x^3 \log (4)+x^2 \log (4) \log ^2(x)} \, dx","Integrate[((10*x + 10*x*Log[4] + (20 + 20*Log[4])*Log[x])*Log[x + Log[x]^2] + (-5*x - 5*x*Log[4] + (-5 - 5*Log[4])*Log[x]^2)*Log[x + Log[x]^2]^2)/(x^3*Log[4] + x^2*Log[4]*Log[x]^2),x]","\int \frac{(10 x+10 x \log (4)+(20+20 \log (4)) \log (x)) \log \left(x+\log ^2(x)\right)+\left(-5 x-5 x \log (4)+(-5-5 \log (4)) \log ^2(x)\right) \log ^2\left(x+\log ^2(x)\right)}{x^3 \log (4)+x^2 \log (4) \log ^2(x)} \, dx","\frac{5 \left(x+\frac{x}{\log (4)}\right) \log ^2\left(x+\log ^2(x)\right)}{x^2}",1,"Integrate[((10*x + 10*x*Log[4] + (20 + 20*Log[4])*Log[x])*Log[x + Log[x]^2] + (-5*x - 5*x*Log[4] + (-5 - 5*Log[4])*Log[x]^2)*Log[x + Log[x]^2]^2)/(x^3*Log[4] + x^2*Log[4]*Log[x]^2), x]","F",-1
3567,1,20,22,0.1101073,"\int \frac{1}{\left(\left(-8 x-4 e^5 x\right) \log \left(\frac{7}{x}\right)+4 x \log \left(\frac{7}{x}\right) \log \left(\log \left(\frac{7}{x}\right)\right)\right) \log \left(2+e^5-\log \left(\log \left(\frac{7}{x}\right)\right)\right)} \, dx","Integrate[1/(((-8*x - 4*E^5*x)*Log[7/x] + 4*x*Log[7/x]*Log[Log[7/x]])*Log[2 + E^5 - Log[Log[7/x]]]),x]","-\frac{1}{4} \log \left(\log \left(-\log \left(\log \left(\frac{7}{x}\right)\right)+e^5+2\right)\right)","16-\frac{1}{4} \log \left(\log \left(-\log \left(\log \left(\frac{7}{x}\right)\right)+e^5+2\right)\right)",1,"-1/4*Log[Log[2 + E^5 - Log[Log[7/x]]]]","A",1
3568,1,24,24,0.1720739,"\int \frac{2 x+e^x (-2+4 x)+2 \log \left(-3+e^{2 e^4}\right)}{-15 e^{3 x}-45 e^{2 x} x-45 e^x x^2-15 x^3+\left(45 e^{2 x}+90 e^x x+45 x^2\right) \log \left(-3+e^{2 e^4}\right)+\left(-45 e^x-45 x\right) \log ^2\left(-3+e^{2 e^4}\right)+15 \log ^3\left(-3+e^{2 e^4}\right)} \, dx","Integrate[(2*x + E^x*(-2 + 4*x) + 2*Log[-3 + E^(2*E^4)])/(-15*E^(3*x) - 45*E^(2*x)*x - 45*E^x*x^2 - 15*x^3 + (45*E^(2*x) + 90*E^x*x + 45*x^2)*Log[-3 + E^(2*E^4)] + (-45*E^x - 45*x)*Log[-3 + E^(2*E^4)]^2 + 15*Log[-3 + E^(2*E^4)]^3),x]","\frac{2 x}{15 \left(x+e^x-\log \left(e^{2 e^4}-3\right)\right)^2}","\frac{2 x}{15 \left(x+e^x-\log \left(e^{2 e^4}-3\right)\right)^2}",1,"(2*x)/(15*(E^x + x - Log[-3 + E^(2*E^4)])^2)","A",1
3569,1,20,28,0.0247821,"\int \frac{(4+2 \log (4)) \log (\log (-4+2 x))}{(4-2 x) \log (2) \log (-4+2 x)+(-2+x) \log (-4+2 x) \log ^2(\log (-4+2 x))} \, dx","Integrate[((4 + 2*Log[4])*Log[Log[-4 + 2*x]])/((4 - 2*x)*Log[2]*Log[-4 + 2*x] + (-2 + x)*Log[-4 + 2*x]*Log[Log[-4 + 2*x]]^2),x]","(2+\log (4)) \log \left(\log (4)-\log ^2(\log (2 (x-2)))\right)","(2+\log (4)) \left(\log \left(2 \log (2)-\log ^2(\log (2-2 (3-x)))\right)+5\right)",1,"(2 + Log[4])*Log[Log[4] - Log[Log[2*(-2 + x)]]^2]","A",1
3570,1,35,36,0.0129359,"\int \frac{-30+20 x+85 x^2-140 x^3-75 x^4+90 x^5}{-3+6 x+11 x^2-17 x^3-12 x^4+9 x^5} \, dx","Integrate[(-30 + 20*x + 85*x^2 - 140*x^3 - 75*x^4 + 90*x^5)/(-3 + 6*x + 11*x^2 - 17*x^3 - 12*x^4 + 9*x^5),x]","5 \left(-\log \left(-3 x^2-x+1\right)+\log \left(3 x^3-5 x^2-3 x+3\right)+2 x\right)","5 \left(-\log \left(\frac{1}{\frac{x}{-3 x^2-x+1}-(x-2) x}\right)+2 x-\log (x)\right)",1,"5*(2*x - Log[1 - x - 3*x^2] + Log[3 - 3*x - 5*x^2 + 3*x^3])","A",1
3571,1,21,23,0.105383,"\int \frac{-93+138 x-32 x^2-10 x^3+3 x^4+\left(-63+70 x+2 x^2-6 x^3\right) \log (x)+\left(-11+8 x+3 x^2\right) \log ^2(x)}{9-6 x+x^2+(6-2 x) \log (x)+\log ^2(x)} \, dx","Integrate[(-93 + 138*x - 32*x^2 - 10*x^3 + 3*x^4 + (-63 + 70*x + 2*x^2 - 6*x^3)*Log[x] + (-11 + 8*x + 3*x^2)*Log[x]^2)/(9 - 6*x + x^2 + (6 - 2*x)*Log[x] + Log[x]^2),x]","x \left(x^2+4 x+\frac{3}{-x+\log (x)+3}-11\right)","x \left(x^2+4 (x-2)-\frac{3}{x-\log (x)-3}-3\right)",1,"x*(-11 + 4*x + x^2 + 3/(3 - x + Log[x]))","A",1
3572,1,27,17,0.0089966,"\int \frac{e^4 (-1-10 x)-x+2 x^2+e^4 x \log (x)}{x} \, dx","Integrate[(E^4*(-1 - 10*x) - x + 2*x^2 + E^4*x*Log[x])/x,x]","x^2-11 e^4 x-x+e^4 x \log (x)-e^4 \log (x)","(x-1) \left(x-e^4 (11-\log (x))\right)",1,"-x - 11*E^4*x + x^2 - E^4*Log[x] + E^4*x*Log[x]","A",1
3573,1,23,24,0.1747955,"\int \frac{1}{2} e^{-2-2 e^x} \left(1+2 e^{2 x} x^3+e^x \left(-2 x-3 x^2-x^3\right)\right) \, dx","Integrate[(E^(-2 - 2*E^x)*(1 + 2*E^(2*x)*x^3 + E^x*(-2*x - 3*x^2 - x^3)))/2,x]","\frac{1}{2} e^{-2 \left(e^x+1\right)} \left(x-e^x x^3\right)","\frac{1}{4} e^{-2 e^x-2} x \left(2-2 e^x x^2\right)",1,"(x - E^x*x^3)/(2*E^(2*(1 + E^x)))","A",1
3574,1,16,20,0.0971711,"\int \frac{e^{1+x+x^4} \left(-144+16 x+16 x^2+192 x^4+64 x^5\right)}{x^4} \, dx","Integrate[(E^(1 + x + x^4)*(-144 + 16*x + 16*x^2 + 192*x^4 + 64*x^5))/x^4,x]","\frac{16 e^{x^4+x+1} (x+3)}{x^3}","\frac{16 e^{x^4+x+1} \left(\frac{3}{x}+1\right)}{x^2}",1,"(16*E^(1 + x + x^4)*(3 + x))/x^3","A",1
3575,1,62,29,0.0203548,"\int \frac{9-6 e+e^2+(12 x-4 e x) \log (x)+(-12 x+4 e x) \log ^2(x)+\left(8 x-16 x^2\right) \log ^3(x)-32 x \log ^3(x) \log ^2(\log (4))}{8 x \log ^3(x)} \, dx","Integrate[(9 - 6*E + E^2 + (12*x - 4*E*x)*Log[x] + (-12*x + 4*E*x)*Log[x]^2 + (8*x - 16*x^2)*Log[x]^3 - 32*x*Log[x]^3*Log[Log[4]]^2)/(8*x*Log[x]^3),x]","-x^2+x-4 x \log ^2(\log (4))-\frac{e^2}{16 \log ^2(x)}+\frac{3 e}{8 \log ^2(x)}-\frac{9}{16 \log ^2(x)}+\frac{e x}{2 \log (x)}-\frac{3 x}{2 \log (x)}","x-4 x \log ^2(\log (4))-\left(x+\frac{3-e}{4 \log (x)}\right)^2",1,"x - x^2 - 9/(16*Log[x]^2) + (3*E)/(8*Log[x]^2) - E^2/(16*Log[x]^2) - (3*x)/(2*Log[x]) + (E*x)/(2*Log[x]) - 4*x*Log[Log[4]]^2","B",1
3576,1,40,25,0.2739332,"\int \frac{-4+13 x-11 x^2+2 x^3+\left(4-9 x+2 x^2\right) \log (4)+\left(-2-3 x+x^2+x^3+\left(-2-2 x+2 x^2\right) \log (4)\right) \log \left(1+x-x^2\right)}{\left(-4+x+8 x^2-6 x^3+x^4+\left(4+3 x-5 x^2+x^3\right) \log (4)\right) \log \left(1+x-x^2\right)} \, dx","Integrate[(-4 + 13*x - 11*x^2 + 2*x^3 + (4 - 9*x + 2*x^2)*Log[4] + (-2 - 3*x + x^2 + x^3 + (-2 - 2*x + 2*x^2)*Log[4])*Log[1 + x - x^2])/((-4 + x + 8*x^2 - 6*x^3 + x^4 + (4 + 3*x - 5*x^2 + x^3)*Log[4])*Log[1 + x - x^2]),x]","\log \left(\log \left(-x^2+x+1\right)\right)+\frac{(6+\log (16)) \log (4-x)}{3+\log (4)}-\log (-x+1-\log (4))","\log \left(\frac{(4-x)^2 \log \left(-x^2+x+1\right)}{x-1+\log (4)}\right)",1,"((6 + Log[16])*Log[4 - x])/(3 + Log[4]) - Log[1 - x - Log[4]] + Log[Log[1 + x - x^2]]","A",1
3577,1,30,18,0.0139111,"\int \frac{-15-15 x-20 x^2+(15+20 x) \log (5)}{-3 x+3 \log (5)} \, dx","Integrate[(-15 - 15*x - 20*x^2 + (15 + 20*x)*Log[5])/(-3*x + 3*Log[5]),x]","\frac{5}{3} \left(2 x^2+3 x+3 \log (x-\log (5))-\log (5) (3+\log (25))\right)","5 \left(\frac{2 x^2}{3}+x+\log (x-\log (5))\right)",1,"(5*(3*x + 2*x^2 - Log[5]*(3 + Log[25]) + 3*Log[x - Log[5]]))/3","A",1
3578,1,20,25,0.1418309,"\int \frac{2^{5+5 x} (-4-x)+8 x+2 x^2+\left(2 x^2+2^{5+5 x} \left(4+\left(-20 x-5 x^2\right) \log (2)\right)\right) \log (x)}{2 x^2} \, dx","Integrate[(2^(5 + 5*x)*(-4 - x) + 8*x + 2*x^2 + (2*x^2 + 2^(5 + 5*x)*(4 + (-20*x - 5*x^2)*Log[2]))*Log[x])/(2*x^2),x]","\frac{(x+4) \left(x-2^{5 x+4}\right) \log (x)}{x}","1-\frac{\left(2^{5 (x+1)}-2 x\right) (x+4) \log (x)}{2 x}",1,"((4 + x)*(-2^(4 + 5*x) + x)*Log[x])/x","A",1
3579,1,14,14,0.0000684,"\int -\frac{8 x}{-13+10 e^6} \, dx","Integrate[(-8*x)/(-13 + 10*E^6),x]","-\frac{4 x^2}{10 e^6-13}","\frac{4 x^2}{13-10 e^6}",1,"(-4*x^2)/(-13 + 10*E^6)","A",1
3580,1,116,26,0.1842488,"\int \frac{220 x^3+\left(27500 x-33000 e^4 x+9900 e^8 x+1090 x^2\right) \log (3)+\left(-1250+1500 e^4-450 e^8-50 x\right) \log ^2(3)+\left(2 x^3+\left(250 x-300 e^4 x+90 e^8 x+10 x^2\right) \log (3)\right) \log \left(25-30 e^4+9 e^8+x\right)}{625 x^3-750 e^4 x^3+225 e^8 x^3+25 x^4} \, dx","Integrate[(220*x^3 + (27500*x - 33000*E^4*x + 9900*E^8*x + 1090*x^2)*Log[3] + (-1250 + 1500*E^4 - 450*E^8 - 50*x)*Log[3]^2 + (2*x^3 + (250*x - 300*E^4*x + 90*E^8*x + 10*x^2)*Log[3])*Log[25 - 30*E^4 + 9*E^8 + x])/(625*x^3 - 750*E^4*x^3 + 225*E^8*x^3 + 25*x^4),x]","\frac{2}{25} \left(\frac{25 \log ^2(3)}{2 x^2}+\frac{\left(\left(5-3 e^4\right)^2 \log \left(x+\left(5-3 e^4\right)^2\right)+5 \left(550-660 e^4+198 e^8+\log (3)\right)\right)^2}{2 \left(5-3 e^4\right)^4}-\frac{5 \log (3) \log \left(x+\left(5-3 e^4\right)^2\right)}{\left(5-3 e^4\right)^2}-\frac{5 \log (3) \left(\log \left(x+\left(5-3 e^4\right)^2\right)+110\right)}{x}\right)","\left(-\frac{1}{5} \log \left(x+\left(5-3 e^4\right)^2\right)+\frac{\log (3)}{x}-22\right)^2",1,"(2*((25*Log[3]^2)/(2*x^2) - (5*Log[3]*Log[(5 - 3*E^4)^2 + x])/(5 - 3*E^4)^2 - (5*Log[3]*(110 + Log[(5 - 3*E^4)^2 + x]))/x + (5*(550 - 660*E^4 + 198*E^8 + Log[3]) + (5 - 3*E^4)^2*Log[(5 - 3*E^4)^2 + x])^2/(2*(5 - 3*E^4)^4)))/25","B",1
3581,1,23,18,0.1011759,"\int \frac{-45-9 x-x^2+e^x \left(32+12 x+x^2\right)}{324+153 x+22 x^2+x^3} \, dx","Integrate[(-45 - 9*x - x^2 + E^x*(32 + 12*x + x^2))/(324 + 153*x + 22*x^2 + x^3),x]","\frac{e^x}{x+9}-\frac{9}{x+9}-\log (x+4)","\frac{x+e^x}{x+9}-\log (x+4)",1,"-9/(9 + x) + E^x/(9 + x) - Log[4 + x]","A",1
3582,1,13,13,0.011748,"\int \frac{2 \log (3)-e^x \log (3)}{9+e^{2 x}+e^x (6-4 x)-12 x+4 x^2} \, dx","Integrate[(2*Log[3] - E^x*Log[3])/(9 + E^(2*x) + E^x*(6 - 4*x) - 12*x + 4*x^2),x]","\frac{\log (3)}{-2 x+e^x+3}","\frac{\log (3)}{-2 x+e^x+3}",1,"Log[3]/(3 + E^x - 2*x)","A",1
3583,1,12,16,0.0013497,"\int \frac{25+x^3+2 x^4}{x^3} \, dx","Integrate[(25 + x^3 + 2*x^4)/x^3,x]","x^2-\frac{25}{2 x^2}+x","-\frac{25}{2 x^2}+(x+1)^2-x",1,"-25/(2*x^2) + x + x^2","A",1
3584,1,20,22,0.0242191,"\int \frac{e^{\frac{1}{16} \left(-48-e^{-12+64 e^x}+16 \log (x)\right)} \left(-1+4 e^{-12+64 e^x+x} x\right)}{x} \, dx","Integrate[(E^((-48 - E^(-12 + 64*E^x) + 16*Log[x])/16)*(-1 + 4*E^(-12 + 64*E^x + x)*x))/x,x]","-e^{-\frac{1}{16} e^{64 e^x-12}-3} x","5-e^{-\frac{1}{16} e^{64 e^x-12}-3} x",1,"-(E^(-3 - E^(-12 + 64*E^x)/16)*x)","A",1
3585,1,25,23,0.0063423,"\int \frac{-64 e^4 x+\left(5+16 e^4 x\right) \log (3)}{20 \log (3)} \, dx","Integrate[(-64*E^4*x + (5 + 16*E^4*x)*Log[3])/(20*Log[3]),x]","\frac{8 e^4 x^2 (\log (3)-4)+x \log (243)}{20 \log (3)}","\frac{x}{4}+\frac{2}{5} e^4 x \left(x-\frac{4 x}{\log (3)}\right)",1,"(8*E^4*x^2*(-4 + Log[3]) + x*Log[243])/(20*Log[3])","A",1
3586,1,9,17,0.0042764,"\int \frac{384+3 x^2}{-1152+384 x+x^3} \, dx","Integrate[(384 + 3*x^2)/(-1152 + 384*x + x^3),x]","\log \left(x^3+384 x-1152\right)","\log \left(\frac{1}{2} \left(\frac{x^3}{192}-2\right)+x-2\right)",1,"Log[-1152 + 384*x + x^3]","A",1
3587,0,0,20,4.9737144,"\int \frac{\exp \left(\frac{25+(10+10 x) \log (2 x)+\left(1+2 x+x^2\right) \log ^2(2 x)}{25+10 x \log (2 x)+x^2 \log ^2(2 x)}\right) \left(50+(10+10 x) \log (2 x)-10 x \log ^2(2 x)+\left(-2 x-2 x^2\right) \log ^3(2 x)\right)}{125 x+75 x^2 \log (2 x)+15 x^3 \log ^2(2 x)+x^4 \log ^3(2 x)} \, dx","Integrate[(E^((25 + (10 + 10*x)*Log[2*x] + (1 + 2*x + x^2)*Log[2*x]^2)/(25 + 10*x*Log[2*x] + x^2*Log[2*x]^2))*(50 + (10 + 10*x)*Log[2*x] - 10*x*Log[2*x]^2 + (-2*x - 2*x^2)*Log[2*x]^3))/(125*x + 75*x^2*Log[2*x] + 15*x^3*Log[2*x]^2 + x^4*Log[2*x]^3),x]","\int \frac{\exp \left(\frac{25+(10+10 x) \log (2 x)+\left(1+2 x+x^2\right) \log ^2(2 x)}{25+10 x \log (2 x)+x^2 \log ^2(2 x)}\right) \left(50+(10+10 x) \log (2 x)-10 x \log ^2(2 x)+\left(-2 x-2 x^2\right) \log ^3(2 x)\right)}{125 x+75 x^2 \log (2 x)+15 x^3 \log ^2(2 x)+x^4 \log ^3(2 x)} \, dx","e^{\left(\frac{1}{x+\frac{5}{\log (2 x)}}+1\right)^2}+1",1,"Integrate[(E^((25 + (10 + 10*x)*Log[2*x] + (1 + 2*x + x^2)*Log[2*x]^2)/(25 + 10*x*Log[2*x] + x^2*Log[2*x]^2))*(50 + (10 + 10*x)*Log[2*x] - 10*x*Log[2*x]^2 + (-2*x - 2*x^2)*Log[2*x]^3))/(125*x + 75*x^2*Log[2*x] + 15*x^3*Log[2*x]^2 + x^4*Log[2*x]^3), x]","F",-1
3588,1,17,21,0.0069126,"\int \frac{32+16 x+x^5+\left(-16 x^2-8 x^3\right) \log (3)}{2 x^5+x^6} \, dx","Integrate[(32 + 16*x + x^5 + (-16*x^2 - 8*x^3)*Log[3])/(2*x^5 + x^6),x]","-\frac{4}{x^4}+\frac{4 \log (3)}{x^2}+\log (x+2)","\log \left(\frac{x+2}{3}\right)-\left(\log (3)-\frac{2}{x^2}\right)^2",1,"-4/x^4 + (4*Log[3])/x^2 + Log[2 + x]","A",1
3589,1,31,40,0.1655084,"\int \frac{e^x \left(4 x^2+3 x^3\right)+e^x \left(-4 x^2-4 x^3-3 x^4\right) \log (x)+(-12-18 x) \log ^2(x)}{\left(48 x^2+72 x^3+27 x^4\right) \log ^2(x)} \, dx","Integrate[(E^x*(4*x^2 + 3*x^3) + E^x*(-4*x^2 - 4*x^3 - 3*x^4)*Log[x] + (-12 - 18*x)*Log[x]^2)/((48*x^2 + 72*x^3 + 27*x^4)*Log[x]^2),x]","-\frac{e^x x^2-3 \log (x)}{3 \left(3 x^2 \log (x)+4 x \log (x)\right)}","\frac{2 x-\frac{2-x \left(\frac{3}{x}-\frac{e^x x}{3 \log (x)}\right)}{3 x+4}}{x}",1,"-1/3*(E^x*x^2 - 3*Log[x])/(4*x*Log[x] + 3*x^2*Log[x])","A",1
3590,1,25,25,0.0479328,"\int \frac{-e^x \log (5)+e^{5+e^5 (2+x)} \log (5)-\log (5) \log (16)}{1+e^{2 x}+e^{2 e^5 (2+x)}-2 x \log (16)+x^2 \log ^2(16)+e^{e^5 (2+x)} \left(2-2 e^x-2 x \log (16)\right)+e^x (-2+2 x \log (16))} \, dx","Integrate[(-(E^x*Log[5]) + E^(5 + E^5*(2 + x))*Log[5] - Log[5]*Log[16])/(1 + E^(2*x) + E^(2*E^5*(2 + x)) - 2*x*Log[16] + x^2*Log[16]^2 + E^(E^5*(2 + x))*(2 - 2*E^x - 2*x*Log[16]) + E^x*(-2 + 2*x*Log[16])),x]","\frac{\log (5)}{e^x-e^{e^5 (x+2)}+x \log (16)-1}","\frac{\log (5)}{e^x-e^{e^5 (x+2)}+x \log (16)-1}",1,"Log[5]/(-1 + E^x - E^(E^5*(2 + x)) + x*Log[16])","A",1
3591,1,11,17,0.1125038,"\int \frac{1-4 x+2 x^2}{-4 x^2+x^3+x \log (4 x)} \, dx","Integrate[(1 - 4*x + 2*x^2)/(-4*x^2 + x^3 + x*Log[4*x]),x]","\log ((x-4) x+\log (4 x))","\log \left(x \left(-x-\frac{\log (4 x)}{x}+4\right)\right)",1,"Log[(-4 + x)*x + Log[4*x]]","A",1
3592,1,3,9,0.0001055,"\int 2 x \, dx","Integrate[2*x,x]","x^2","x^2-\frac{11}{5}+\log (784)",1,"x^2","A",1
3593,1,34,30,0.0283786,"\int \frac{4+12 x+5 x^2+e^4 \left(-4+20 x-5 x^2\right)}{32+32 x-24 x^2-16 x^3+8 x^4+e^8 \left(32-32 x+8 x^2\right)+e^4 \left(64-48 x^2+16 x^3\right)} \, dx","Integrate[(4 + 12*x + 5*x^2 + E^4*(-4 + 20*x - 5*x^2))/(32 + 32*x - 24*x^2 - 16*x^3 + 8*x^4 + E^8*(32 - 32*x + 8*x^2) + E^4*(64 - 48*x^2 + 16*x^3)),x]","\frac{5 e^4 (x-2)-5 x-6}{8 \left(x^2-x+e^4 (x-2)-2\right)}","5 \left(\frac{\frac{4}{5}-x^2}{8 (x-2) \left(x+e^4+1\right)}+10\right)",1,"(-6 + 5*E^4*(-2 + x) - 5*x)/(8*(-2 + E^4*(-2 + x) - x + x^2))","A",1
3594,1,23,25,0.0129309,"\int \frac{x-\frac{8 e^{5-e^3}}{x^2 \log (4)}}{4 x} \, dx","Integrate[(x - (8*E^(5 - E^3))/(x^2*Log[4]))/(4*x),x]","\frac{e^{5-e^3}}{x^2 \log (4)}+\frac{x}{4}","\frac{e^{5-e^3}}{x^2 \log (4)}+\frac{x-5}{4}",1,"x/4 + E^(5 - E^3)/(x^2*Log[4])","A",1
3595,1,95,30,0.1499649,"\int \frac{-64-648 x-1522 x^2-216 x^3+e^x \left(40 x^3-40 x^4-310 x^5-40 x^6+\left(-80 x^2-230 x^3+270 x^4+40 x^5\right) \log (4)\right)+e^{2 x} \left(50 x^6+50 x^7+\left(-50 x^5-100 x^6\right) \log (4)+50 x^5 \log ^2(4)\right)}{x^5} \, dx","Integrate[(-64 - 648*x - 1522*x^2 - 216*x^3 + E^x*(40*x^3 - 40*x^4 - 310*x^5 - 40*x^6 + (-80*x^2 - 230*x^3 + 270*x^4 + 40*x^5)*Log[4]) + E^(2*x)*(50*x^6 + 50*x^7 + (-50*x^5 - 100*x^6)*Log[4] + 50*x^5*Log[4]^2))/x^5,x]","2 \left(\frac{8}{x^4}+\frac{108}{x^3}+\frac{761}{2 x^2}+e^{2 x} \left(\frac{25 x^2}{2}-\frac{25}{2} x \log (16)+\frac{25}{4} \left(2 \log ^2(4)-2 \log (4)+\log (16)\right)\right)+e^x \left(\frac{20 \log (4)}{x^2}-20 x+\frac{5 (27 \log (4)-4)}{x}+5 (\log (256)-27)\right)+\frac{108}{x}\right)","\frac{\left(x-\frac{4}{x}-5 \left(x+e^x x (\log (4)-x)+5\right)-2\right)^2}{x^2}",1,"2*(8/x^4 + 108/x^3 + 761/(2*x^2) + 108/x + E^(2*x)*((25*x^2)/2 - (25*x*Log[16])/2 + (25*(-2*Log[4] + 2*Log[4]^2 + Log[16]))/4) + E^x*(-20*x + (20*Log[4])/x^2 + (5*(-4 + 27*Log[4]))/x + 5*(-27 + Log[256])))","B",1
3596,0,0,21,0.2281445,"\int \frac{\left(12 x+18 x^2+e^x \left(12+12 x+6 x^2\right)+\left(6 x+6 e^x x\right) \log (x)\right) \log \left(25 e^x x^2+25 x^3+\left(50 e^x x+50 x^2\right) \log (x)+\left(25 e^x+25 x\right) \log ^2(x)\right)+\left(3 e^x x+3 x^2+\left(3 e^x+3 x\right) \log (x)\right) \log ^2\left(25 e^x x^2+25 x^3+\left(50 e^x x+50 x^2\right) \log (x)+\left(25 e^x+25 x\right) \log ^2(x)\right)}{2 e^x x+2 x^2+\left(2 e^x+2 x\right) \log (x)} \, dx","Integrate[((12*x + 18*x^2 + E^x*(12 + 12*x + 6*x^2) + (6*x + 6*E^x*x)*Log[x])*Log[25*E^x*x^2 + 25*x^3 + (50*E^x*x + 50*x^2)*Log[x] + (25*E^x + 25*x)*Log[x]^2] + (3*E^x*x + 3*x^2 + (3*E^x + 3*x)*Log[x])*Log[25*E^x*x^2 + 25*x^3 + (50*E^x*x + 50*x^2)*Log[x] + (25*E^x + 25*x)*Log[x]^2]^2)/(2*E^x*x + 2*x^2 + (2*E^x + 2*x)*Log[x]),x]","\int \frac{\left(12 x+18 x^2+e^x \left(12+12 x+6 x^2\right)+\left(6 x+6 e^x x\right) \log (x)\right) \log \left(25 e^x x^2+25 x^3+\left(50 e^x x+50 x^2\right) \log (x)+\left(25 e^x+25 x\right) \log ^2(x)\right)+\left(3 e^x x+3 x^2+\left(3 e^x+3 x\right) \log (x)\right) \log ^2\left(25 e^x x^2+25 x^3+\left(50 e^x x+50 x^2\right) \log (x)+\left(25 e^x+25 x\right) \log ^2(x)\right)}{2 e^x x+2 x^2+\left(2 e^x+2 x\right) \log (x)} \, dx","\frac{3}{2} x \log ^2\left(25 \left(x+e^x\right) (x+\log (x))^2\right)",1,"Integrate[((12*x + 18*x^2 + E^x*(12 + 12*x + 6*x^2) + (6*x + 6*E^x*x)*Log[x])*Log[25*E^x*x^2 + 25*x^3 + (50*E^x*x + 50*x^2)*Log[x] + (25*E^x + 25*x)*Log[x]^2] + (3*E^x*x + 3*x^2 + (3*E^x + 3*x)*Log[x])*Log[25*E^x*x^2 + 25*x^3 + (50*E^x*x + 50*x^2)*Log[x] + (25*E^x + 25*x)*Log[x]^2]^2)/(2*E^x*x + 2*x^2 + (2*E^x + 2*x)*Log[x]), x]","F",-1
3597,1,40,33,0.0236618,"\int \frac{-115 x^2+18 x^4-8 x^5-3 x^6+e^4 \left(-90-60 x-10 x^2\right)}{90 x^2+60 x^3+10 x^4} \, dx","Integrate[(-115*x^2 + 18*x^4 - 8*x^5 - 3*x^6 + E^4*(-90 - 60*x - 10*x^2))/(90*x^2 + 60*x^3 + 10*x^4),x]","-\frac{1}{10} (x+3)^3+\frac{7}{5} (x+3)^2-\frac{36 (x+3)}{5}+\frac{e^4}{x}-\frac{2}{x+3}","\frac{1}{2} x \left(-\frac{x^2}{5}+x-3\right)+\frac{-\frac{2 x}{x+3}+x+e^4}{x}",1,"E^4/x - 2/(3 + x) - (36*(3 + x))/5 + (7*(3 + x)^2)/5 - (3 + x)^3/10","A",1
3598,1,19,21,0.0655937,"\int \frac{\left(-e^x+x\right) \log \left(e^x-x\right)+\left(2 e^x-2 x\right) \log ^2\left(e^x-x\right)+\left(-2+2 e^x\right) \log \left(\frac{8-16 \log \left(e^x-x\right)}{\log \left(e^x-x\right)}\right)}{\left(-e^x+x\right) \log \left(e^x-x\right)+\left(2 e^x-2 x\right) \log ^2\left(e^x-x\right)} \, dx","Integrate[((-E^x + x)*Log[E^x - x] + (2*E^x - 2*x)*Log[E^x - x]^2 + (-2 + 2*E^x)*Log[(8 - 16*Log[E^x - x])/Log[E^x - x]])/((-E^x + x)*Log[E^x - x] + (2*E^x - 2*x)*Log[E^x - x]^2),x]","x+\log ^2\left(8 \left(\frac{1}{\log \left(e^x-x\right)}-2\right)\right)","x+\log ^2\left(4 \left(\frac{2}{\log \left(e^x-x\right)}-4\right)\right)",1,"x + Log[8*(-2 + Log[E^x - x]^(-1))]^2","A",1
3599,1,21,27,0.3478902,"\int \frac{e^{-\frac{3-x}{e^2-x}} \left(6-2 e^2+e^{\frac{3-x}{e^2-x}} \left(2 e^4-4 e^2 x+2 x^2\right)\right)}{e^4-2 e^2 x+x^2} \, dx","Integrate[(6 - 2*E^2 + E^((3 - x)/(E^2 - x))*(2*E^4 - 4*E^2*x + 2*x^2))/(E^((3 - x)/(E^2 - x))*(E^4 - 2*E^2*x + x^2)),x]","2 x-2 e^{\frac{x-3}{e^2-x}}","\log \left(e^{2 x-2 e^{-\frac{3-x}{e^2-x}}}\right)",1,"-2*E^((-3 + x)/(E^2 - x)) + 2*x","A",1
3600,1,17,27,0.0228989,"\int \left(16-2 x+e^{x+2 x^2+x^3} \left(5+5 x+20 x^2+15 x^3\right)\right) \, dx","Integrate[16 - 2*x + E^(x + 2*x^2 + x^3)*(5 + 5*x + 20*x^2 + 15*x^3),x]","-x \left(x-5 e^{x (x+1)^2}-16\right)","5 \left(e^{\frac{\left(x^2+x\right)^2}{x}}+\frac{6-x}{5}+2\right) x",1,"-(x*(-16 - 5*E^(x*(1 + x)^2) + x))","A",1
3601,1,24,24,0.3581092,"\int \frac{-180 x^2+60 x^3+e^{\frac{1}{4} (3+4 x)} \left(-36 x^2+24 x^3-3 x^4\right)+e^x \left(36 x^2-24 x^3+3 x^4\right)}{25-10 e^x+e^{2 x}+e^{\frac{1}{2} (3+4 x)}+e^{\frac{1}{4} (3+4 x)} \left(10-2 e^x\right)} \, dx","Integrate[(-180*x^2 + 60*x^3 + E^((3 + 4*x)/4)*(-36*x^2 + 24*x^3 - 3*x^4) + E^x*(36*x^2 - 24*x^3 + 3*x^4))/(25 - 10*E^x + E^(2*x) + E^((3 + 4*x)/2) + E^((3 + 4*x)/4)*(10 - 2*E^x)),x]","\frac{3 (x-4) x^3}{-e^x+e^{x+\frac{3}{4}}+5}","\frac{3 (x-4) x^3}{-e^x+e^{x+\frac{3}{4}}+5}",1,"(3*(-4 + x)*x^3)/(5 - E^x + E^(3/4 + x))","A",1
3602,1,21,23,0.0514174,"\int \frac{1530+1002 x-2902 x^2+1394 x^3-186 x^4+2 x^5+\left(-1530 x+1038 x^2-182 x^3+2 x^4\right) \log (x)+\left(18+12 x-34 x^2+16 x^3-2 x^4+\left(-18 x+12 x^2-2 x^3\right) \log (x)\right) \log \left(\frac{-4 x+x^2+(-3+x) \log (x)}{-3+x}\right)}{12 x^2-7 x^3+x^4+\left(9 x-6 x^2+x^3\right) \log (x)} \, dx","Integrate[(1530 + 1002*x - 2902*x^2 + 1394*x^3 - 186*x^4 + 2*x^5 + (-1530*x + 1038*x^2 - 182*x^3 + 2*x^4)*Log[x] + (18 + 12*x - 34*x^2 + 16*x^3 - 2*x^4 + (-18*x + 12*x^2 - 2*x^3)*Log[x])*Log[(-4*x + x^2 + (-3 + x)*Log[x])/(-3 + x)])/(12*x^2 - 7*x^3 + x^4 + (9*x - 6*x^2 + x^3)*Log[x]),x]","\left(x-\log \left(\frac{(x-4) x}{x-3}+\log (x)\right)-85\right)^2","\left(-x+\log \left(\frac{x}{3-x}+x+\log (x)\right)+85\right)^2+e",1,"(-85 + x - Log[((-4 + x)*x)/(-3 + x) + Log[x]])^2","A",1
3603,1,16,20,0.0022404,"\int \frac{-54 x^2+27 x^4-3 \log (5)}{x^2} \, dx","Integrate[(-54*x^2 + 27*x^4 - 3*Log[5])/x^2,x]","9 x^3-54 x+\frac{3 \log (5)}{x}","3 \left(3 \left(x^2+2\right) x-24 x+\frac{\log (5)}{x}\right)",1,"-54*x + 9*x^3 + (3*Log[5])/x","A",1
3604,1,17,19,0.2077061,"\int \left(-3 e^{3 x}+e^{2 x} \left(-2+4 e^4-4 x\right)+e^x \left(-e^8-2 x-x^2+e^4 (2+2 x)\right)\right) \, dx","Integrate[-3*E^(3*x) + E^(2*x)*(-2 + 4*E^4 - 4*x) + E^x*(-E^8 - 2*x - x^2 + E^4*(2 + 2*x)),x]","-e^x \left(x+e^x-e^4\right)^2","-e^x \left(-x-e^x+e^4\right)^2",1,"-(E^x*(-E^4 + E^x + x)^2)","A",1
3605,1,14,16,0.079868,"\int \frac{\log \left(\frac{e^3}{x}\right) (-1+\log (x))+\log (x)}{\log ^2\left(\frac{e^3}{x}\right) \log ^2(x)} \, dx","Integrate[(Log[E^3/x]*(-1 + Log[x]) + Log[x])/(Log[E^3/x]^2*Log[x]^2),x]","\frac{x}{\left(\log \left(\frac{1}{x}\right)+3\right) \log (x)}","\frac{x}{\log \left(\frac{e^3}{x}\right) \log (x)}",1,"x/((3 + Log[x^(-1)])*Log[x])","A",1
3606,1,23,24,0.0199938,"\int \frac{1+5 x-3 e^{e^x+x} x+4 x^2+2 x \log (x)}{x} \, dx","Integrate[(1 + 5*x - 3*E^(E^x + x)*x + 4*x^2 + 2*x*Log[x])/x,x]","2 x^2+3 x-3 e^{e^x}+2 x \log (x)+\log (x)","x-3 e^{e^x}-\log (x)+(2 x+2) (x+\log (x))-4",1,"-3*E^E^x + 3*x + 2*x^2 + Log[x] + 2*x*Log[x]","A",1
3607,1,43,27,0.020505,"\int \frac{e^3 \left(8 x^2-8 e x^2\right)+\left(e^3 (-4 x+4 e x)+(-2+2 e) \log (2)\right) \log (5)}{16 e^3 x^2-8 e^3 x \log (5)+e^3 \log ^2(5)} \, dx","Integrate[(E^3*(8*x^2 - 8*E*x^2) + (E^3*(-4*x + 4*E*x) + (-2 + 2*E)*Log[2])*Log[5])/(16*E^3*x^2 - 8*E^3*x*Log[5] + E^3*Log[5]^2),x]","-\frac{2 (e-1) \left(e^3 \left(8 x^2-4 x \log (5)+\log ^2(5)\right)+\log (4) \log (5)\right)}{e^3 (32 x-8 \log (5))}","\frac{(1-e) \left(x+\frac{\log (2)}{e^3}\right)}{2-\frac{\log (5)}{2 x}}",1,"(-2*(-1 + E)*(Log[4]*Log[5] + E^3*(8*x^2 - 4*x*Log[5] + Log[5]^2)))/(E^3*(32*x - 8*Log[5]))","A",1
3608,0,0,25,3.2171167,"\int \frac{e^{\frac{-1+\log \left(\frac{4}{x}\right)}{-5+2 e^x+x}} \left(-5+e^x (2-2 x)+\left(x+2 e^x x\right) \log \left(\frac{4}{x}\right)\right)}{25 x+4 e^{2 x} x-10 x^2+x^3+e^x \left(-20 x+4 x^2\right)} \, dx","Integrate[(E^((-1 + Log[4/x])/(-5 + 2*E^x + x))*(-5 + E^x*(2 - 2*x) + (x + 2*E^x*x)*Log[4/x]))/(25*x + 4*E^(2*x)*x - 10*x^2 + x^3 + E^x*(-20*x + 4*x^2)),x]","\int \frac{e^{\frac{-1+\log \left(\frac{4}{x}\right)}{-5+2 e^x+x}} \left(-5+e^x (2-2 x)+\left(x+2 e^x x\right) \log \left(\frac{4}{x}\right)\right)}{25 x+4 e^{2 x} x-10 x^2+x^3+e^x \left(-20 x+4 x^2\right)} \, dx","5-e^{\frac{\log \left(\frac{4}{x}\right)-1}{x+2 e^x-5}}",1,"Integrate[(E^((-1 + Log[4/x])/(-5 + 2*E^x + x))*(-5 + E^x*(2 - 2*x) + (x + 2*E^x*x)*Log[4/x]))/(25*x + 4*E^(2*x)*x - 10*x^2 + x^3 + E^x*(-20*x + 4*x^2)), x]","F",-1
3609,1,30,27,0.288957,"\int \frac{e^x \left(80 x^2+85 x^3+30 x^4+e^4 \left(75+75 x+25 x^2\right)+e^2 \left(15-165 x-165 x^2-55 x^3\right)\right)}{9 x^2+6 x^3+x^4+e^4 \left(9+6 x+x^2\right)+e^2 \left(-18 x-12 x^2-2 x^3\right)} \, dx","Integrate[(E^x*(80*x^2 + 85*x^3 + 30*x^4 + E^4*(75 + 75*x + 25*x^2) + E^2*(15 - 165*x - 165*x^2 - 55*x^3)))/(9*x^2 + 6*x^3 + x^4 + E^4*(9 + 6*x + x^2) + E^2*(-18*x - 12*x^2 - 2*x^3)),x]","\frac{5 e^x \left(-6 x+5 e^2+1\right) x}{\left(e^2-x\right) (x+3)}","\frac{5 e^x \left(5-\frac{x-1}{e^2-x}\right) x}{x+3}",1,"(5*E^x*(1 + 5*E^2 - 6*x)*x)/((E^2 - x)*(3 + x))","A",1
3610,1,85,29,0.2899427,"\int \frac{1000+1000 x+e^{x^2} \left(80 x-20 x^2-200 x^3-200 x^4\right)+e^{2 x^2} \left(-2 x^2-20 x^4\right)+\left(-600-1600 x-1000 x^2+4 e^{2 x^2} x^4+e^{x^2} \left(-36 x-96 x^2+80 x^3+80 x^4\right)\right) \log (x)+\left(120+1220 x+600 x^2+e^{x^2} \left(4 x+30 x^2-8 x^3-108 x^4\right)\right) \log ^2(x)+\left(-8-428 x-620 x^2+e^{x^2} \left(-2 x^2+40 x^4\right)\right) \log ^3(x)+\left(68 x+308 x^2-4 e^{x^2} x^4\right) \log ^4(x)+\left(-4 x-60 x^2\right) \log ^5(x)+4 x^2 \log ^6(x)}{-125 x^3+75 x^3 \log (x)-15 x^3 \log ^2(x)+x^3 \log ^3(x)} \, dx","Integrate[(1000 + 1000*x + E^x^2*(80*x - 20*x^2 - 200*x^3 - 200*x^4) + E^(2*x^2)*(-2*x^2 - 20*x^4) + (-600 - 1600*x - 1000*x^2 + 4*E^(2*x^2)*x^4 + E^x^2*(-36*x - 96*x^2 + 80*x^3 + 80*x^4))*Log[x] + (120 + 1220*x + 600*x^2 + E^x^2*(4*x + 30*x^2 - 8*x^3 - 108*x^4))*Log[x]^2 + (-8 - 428*x - 620*x^2 + E^x^2*(-2*x^2 + 40*x^4))*Log[x]^3 + (68*x + 308*x^2 - 4*E^x^2*x^4)*Log[x]^4 + (-4*x - 60*x^2)*Log[x]^5 + 4*x^2*Log[x]^6)/(-125*x^3 + 75*x^3*Log[x] - 15*x^3*Log[x]^2 + x^3*Log[x]^3),x]","-2 \left(5 e^{x^2}-\frac{2}{x^2}+e^{x^2} \log (x)+\frac{e^{x^2} (27 x+2)}{x (\log (x)-5)}-\frac{e^{2 x^2}}{2 (\log (x)-5)^2}-\frac{4}{x}-\frac{1}{2} \log ^4(x)-\frac{2 (x+1) \log ^2(x)}{x}\right)","\left(\frac{e^{x^2}}{5-\log (x)}+\frac{x+2}{x}+\log ^2(x)+1\right)^2",1,"-2*(5*E^x^2 - 2/x^2 - 4/x - E^(2*x^2)/(2*(-5 + Log[x])^2) + (E^x^2*(2 + 27*x))/(x*(-5 + Log[x])) + E^x^2*Log[x] - (2*(1 + x)*Log[x]^2)/x - Log[x]^4/2)","B",1
3611,1,16,21,0.0134492,"\int e^{-4-x} \left(-e^{4+x}-30 x^2+10 x^3\right) \, dx","Integrate[E^(-4 - x)*(-E^(4 + x) - 30*x^2 + 10*x^3),x]","-10 e^{-x-4} x^3-x","-2 \left(5 e^{-x-4} x^3+5\right)-x+83",1,"-x - 10*E^(-4 - x)*x^3","A",1
3612,1,27,18,0.0114364,"\int \frac{75+27 e^4+18 x+27 x^2+e^2 (18+54 x)}{25+9 e^4+18 e^2 x+9 x^2} \, dx","Integrate[(75 + 27*E^4 + 18*x + 27*x^2 + E^2*(18 + 54*x))/(25 + 9*E^4 + 18*E^2*x + 9*x^2),x]","3 \left(\frac{1}{3} \log \left(9 x^2+18 e^2 x+9 e^4+25\right)+x\right)","3 (x+4)+\log \left(9 \left(x+e^2\right)^2+25\right)",1,"3*(x + Log[25 + 9*E^4 + 18*E^2*x + 9*x^2]/3)","A",1
3613,1,12,19,0.0009884,"\int \frac{1}{125} \left(-2 e^5+250 x\right) \, dx","Integrate[(-2*E^5 + 250*x)/125,x]","x^2-\frac{2 e^5 x}{125}","\left(\frac{e^5}{125}-x\right)^2-3 e^3",1,"(-2*E^5*x)/125 + x^2","A",1
3614,1,52,29,0.0674774,"\int \frac{3+16 x-16 x^2+196 x^3-192 x^4+480 x^5-432 x^6+108 x^7+e^{2 x} \left(288 x^3-144 x^4-72 x^5+36 x^6\right)+e^x \left(144 x^2-96 x^3+708 x^4-564 x^5+36 x^6+36 x^7\right)}{8-8 x+2 x^2} \, dx","Integrate[(3 + 16*x - 16*x^2 + 196*x^3 - 192*x^4 + 480*x^5 - 432*x^6 + 108*x^7 + E^(2*x)*(288*x^3 - 144*x^4 - 72*x^5 + 36*x^6) + E^x*(144*x^2 - 96*x^3 + 708*x^4 - 564*x^5 + 36*x^6 + 36*x^7))/(8 - 8*x + 2*x^2),x]","\frac{1}{2} \left(18 x^6+18 e^{2 x} x^4+12 x^4+2 x^2+e^x \left(36 x^5+12 x^3\right)-\frac{3}{x-2}\right)","\left(3 \left(x+e^x\right) x^2+x\right)^2-\frac{5-x}{2 x-4}",1,"(-3/(-2 + x) + 2*x^2 + 12*x^4 + 18*E^(2*x)*x^4 + 18*x^6 + E^x*(12*x^3 + 36*x^5))/2","A",1
3615,1,24,21,0.8537049,"\int \frac{e^{-x} \left(-x+e^x \left(3 x^3-3 x^2 \log (3)\right)+\left(-x+x^2+(1-x) \log (3)\right) \log (x-\log (3))\right)}{-x+\log (3)} \, dx","Integrate[(-x + E^x*(3*x^3 - 3*x^2*Log[3]) + (-x + x^2 + (1 - x)*Log[3])*Log[x - Log[3]])/(E^x*(-x + Log[3])),x]","-x^3+e^{-x} x \log (x-\log (3))+\log ^3(3)","x \left(e^{-x} \log (x-\log (3))-x^2\right)",1,"-x^3 + Log[3]^3 + (x*Log[x - Log[3]])/E^x","A",1
3616,1,26,23,0.0101243,"\int \frac{-4624+680 x+876 x^2+96 x^3}{-1156 x-119 x^2+83 x^3+12 x^4} \, dx","Integrate[(-4624 + 680*x + 876*x^2 + 96*x^3)/(-1156*x - 119*x^2 + 83*x^3 + 12*x^4),x]","4 \log \left(-4 x^2-5 x+68\right)+4 \log (x)-4 \log (3 x+17)","4 \left(\log \left(\frac{x^2}{x+2 (x+8)+1}+x-4\right)+\log (x)\right)",1,"4*Log[x] - 4*Log[17 + 3*x] + 4*Log[68 - 5*x - 4*x^2]","A",1
3617,1,59,22,0.0898197,"\int \frac{75-100 x^3+e^{e^x+x} \left(45 x^2-30 x^5+5 x^8\right)}{9 x^2-6 x^5+x^8} \, dx","Integrate[(75 - 100*x^3 + E^(E^x + x)*(45*x^2 - 30*x^5 + 5*x^8))/(9*x^2 - 6*x^5 + x^8),x]","5 \left(\frac{5}{18} x^2 \, _2F_1\left(\frac{2}{3},1;\frac{5}{3};\frac{x^3}{3}\right)-\frac{5}{6} x^2 \, _2F_1\left(\frac{2}{3},2;\frac{5}{3};\frac{x^3}{3}\right)+e^{e^x}-\frac{5}{3 x}\right)","5 \left(\frac{5}{x \left(x^3-3\right)}+e^{e^x}\right)+8",1,"5*(E^E^x - 5/(3*x) + (5*x^2*Hypergeometric2F1[2/3, 1, 5/3, x^3/3])/18 - (5*x^2*Hypergeometric2F1[2/3, 2, 5/3, x^3/3])/6)","C",1
3618,1,23,25,0.02794,"\int \frac{145 x+50 x^2+5 x^3+e^{-x} x \left(-25+15 x+9 x^2+x^3\right)}{100 x+40 x^2+4 x^3} \, dx","Integrate[(145*x + 50*x^2 + 5*x^3 + (x*(-25 + 15*x + 9*x^2 + x^3))/E^x)/(100*x + 40*x^2 + 4*x^3),x]","\frac{1}{4} \left(-e^{-x} x+5 x-\frac{20}{x+5}\right)","\frac{x}{x+5}+x+\frac{1}{4} \left(-e^{-x} x+x-2\right)-10",1,"(5*x - x/E^x - 20/(5 + x))/4","A",1
3619,1,28,34,1.1134409,"\int \frac{5-x+\left(5-51 x+20 x^2-2 x^3\right) \log (x) \log (\log (x))+5 \log (x) \log (\log (x)) \log \left(\frac{1}{5} x \log (\log (x))\right)}{\left(50 x^4-20 x^5+2 x^6\right) \log (x) \log (\log (x))+\left(-20 x^3+4 x^4\right) \log (x) \log (\log (x)) \log \left(\frac{1}{5} x \log (\log (x))\right)+2 x^2 \log (x) \log (\log (x)) \log ^2\left(\frac{1}{5} x \log (\log (x))\right)} \, dx","Integrate[(5 - x + (5 - 51*x + 20*x^2 - 2*x^3)*Log[x]*Log[Log[x]] + 5*Log[x]*Log[Log[x]]*Log[(x*Log[Log[x]])/5])/((50*x^4 - 20*x^5 + 2*x^6)*Log[x]*Log[Log[x]] + (-20*x^3 + 4*x^4)*Log[x]*Log[Log[x]]*Log[(x*Log[Log[x]])/5] + 2*x^2*Log[x]*Log[Log[x]]*Log[(x*Log[Log[x]])/5]^2),x]","\frac{x-5}{2 x \left(x^2-5 x+\log \left(\frac{1}{5} x \log (\log (x))\right)\right)}","\frac{5-x}{2 x \left(-x^2+5 x-\log \left(\frac{1}{5} x \log (\log (x))\right)\right)}",1,"(-5 + x)/(2*x*(-5*x + x^2 + Log[(x*Log[Log[x]])/5]))","A",1
3620,1,20,20,0.0142176,"\int \frac{e^9 (15+10 x)+e^4 (45+30 x)+\left(15 e^4+5 e^9\right) \log (3)}{9 x^2+6 x^3+x^4+\left(6 x^2+2 x^3\right) \log (3)+x^2 \log ^2(3)} \, dx","Integrate[(E^9*(15 + 10*x) + E^4*(45 + 30*x) + (15*E^4 + 5*E^9)*Log[3])/(9*x^2 + 6*x^3 + x^4 + (6*x^2 + 2*x^3)*Log[3] + x^2*Log[3]^2),x]","-\frac{5 e^4 \left(3+e^5\right)}{x (x+3+\log (3))}","-\frac{5 e^4 \left(3+e^5\right)}{x (x+3+\log (3))}",1,"(-5*E^4*(3 + E^5))/(x*(3 + x + Log[3]))","A",1
3621,1,21,28,0.0352745,"\int \frac{1}{3} e^{\frac{1}{3} \left(2 e^{e^{20}} x-9 x^2\right)} \left(-3-2 e^{e^{20}} x+18 x^2\right) \, dx","Integrate[(E^((2*E^E^20*x - 9*x^2)/3)*(-3 - 2*E^E^20*x + 18*x^2))/3,x]","-e^{\frac{2 e^{e^{20}} x}{3}-3 x^2} x","\frac{1}{\log \left(e^{-\frac{e^{3 x^2-\frac{2 e^{e^{20}} x}{3}}}{x}}\right)}",1,"-(E^((2*E^E^20*x)/3 - 3*x^2)*x)","A",1
3622,1,53,27,1.3227595,"\int \frac{-12 x^2-10 x^3+e^{2-2 x} \left(6 x^2+9 x^3+5 x^4\right)}{1536+3840 x+2400 x^2+e^{2-2 x} \left(-1536-3840 x-2400 x^2\right)+e^{4-4 x} \left(384+960 x+600 x^2\right)} \, dx","Integrate[(-12*x^2 - 10*x^3 + E^(2 - 2*x)*(6*x^2 + 9*x^3 + 5*x^4))/(1536 + 3840*x + 2400*x^2 + E^(2 - 2*x)*(-1536 - 3840*x - 2400*x^2) + E^(4 - 4*x)*(384 + 960*x + 600*x^2)),x]","\frac{e^{2 x} \left(-125 x^3+240 x+192\right)-24 e^2 (5 x+4)}{6000 \left(2 e^{2 x}-e^2\right) (5 x+4)}","-\frac{x^3}{48 \left(2-e^{2-2 x}\right) (5 x+4)}",1,"(-24*E^2*(4 + 5*x) + E^(2*x)*(192 + 240*x - 125*x^3))/(6000*(-E^2 + 2*E^(2*x))*(4 + 5*x))","A",1
3623,1,30,25,2.7295097,"\int \frac{-x^4+e^{\frac{5-x+2 x^2-2 x \log (2)}{-x^2+x \log (2)}} \left(10 x-x^2-5 \log (2)\right)+2 x^3 \log (2)-x^2 \log ^2(2)}{x^4-2 x^3 \log (2)+x^2 \log ^2(2)} \, dx","Integrate[(-x^4 + E^((5 - x + 2*x^2 - 2*x*Log[2])/(-x^2 + x*Log[2]))*(10*x - x^2 - 5*Log[2]) + 2*x^3*Log[2] - x^2*Log[2]^2)/(x^4 - 2*x^3*Log[2] + x^2*Log[2]^2),x]","e^{\frac{-2 x^2+x+x \log (4)-5}{x (x-\log (2))}}-x","e^{-\frac{\frac{5}{x}-1}{x-\log (2)}-2}-x",1,"E^((-5 + x - 2*x^2 + x*Log[4])/(x*(x - Log[2]))) - x","A",1
3624,1,19,19,0.0723091,"\int \frac{e^{-2 x} \left(-48-288 x-640 x^2-768 x^3-768 x^4-512 x^5\right)}{2401 x^4} \, dx","Integrate[(-48 - 288*x - 640*x^2 - 768*x^3 - 768*x^4 - 512*x^5)/(2401*E^(2*x)*x^4),x]","\frac{16 e^{-2 x} (2 x+1)^4}{2401 x^3}","\frac{16 e^{-2 x} (2 x+1)^4}{2401 x^3}",1,"(16*(1 + 2*x)^4)/(2401*E^(2*x)*x^3)","A",1
3625,1,10,12,0.004106,"\int -\frac{64 x^3}{-715+16 x^4} \, dx","Integrate[(-64*x^3)/(-715 + 16*x^4),x]","-\log \left(715-16 x^4\right)","\log \left(\frac{5}{x^4-\frac{715}{16}}\right)",1,"-Log[715 - 16*x^4]","A",1
3626,1,17,19,0.0978691,"\int \frac{625+75 e^{2 x}-5 e^{3 x}+e^x \left(-575+80 x-8 x^2\right)}{-3125+1250 x-125 x^2+e^{2 x} \left(-375+150 x-15 x^2\right)+e^{3 x} \left(25-10 x+x^2\right)+e^x \left(1875-750 x+75 x^2\right)} \, dx","Integrate[(625 + 75*E^(2*x) - 5*E^(3*x) + E^x*(-575 + 80*x - 8*x^2))/(-3125 + 1250*x - 125*x^2 + E^(2*x)*(-375 + 150*x - 15*x^2) + E^(3*x)*(25 - 10*x + x^2) + E^x*(1875 - 750*x + 75*x^2)),x]","\frac{4}{\left(e^x-5\right)^2}+\frac{5}{x-5}","\frac{x}{x-5}+\frac{4}{\left(5-e^x\right)^2}",1,"4/(-5 + E^x)^2 + 5/(-5 + x)","A",1
3627,1,22,20,0.1948097,"\int \frac{4+e^{2 x} (-1-x)-x^2}{2-2 x+e^{2 x} x-x^2} \, dx","Integrate[(4 + E^(2*x)*(-1 - x) - x^2)/(2 - 2*x + E^(2*x)*x - x^2),x]","x-\log \left(-x^2+e^{2 x} x-2 x+2\right)","x-\log \left(\left(-x+e^{2 x}-2\right) x+2\right)+1",1,"x - Log[2 - 2*x + E^(2*x)*x - x^2]","A",1
3628,1,20,21,0.2887655,"\int \frac{e^x \left(1-2 x-2560 x^2\right)+1280 e^x x \log (2 x)+\left(-2 e^x x^2+e^x x \log (2 x)\right) \log (2 x-\log (2 x))}{-512 x^2+256 x \log (2 x)} \, dx","Integrate[(E^x*(1 - 2*x - 2560*x^2) + 1280*E^x*x*Log[2*x] + (-2*E^x*x^2 + E^x*x*Log[2*x])*Log[2*x - Log[2*x]])/(-512*x^2 + 256*x*Log[2*x]),x]","\frac{1}{256} e^x (\log (2 x-\log (2 x))+1280)","e^x \left(\frac{1}{256} \log (2 x-\log (2 x))+5\right)",1,"(E^x*(1280 + Log[2*x - Log[2*x]]))/256","A",1
3629,1,72,28,0.0601511,"\int \frac{-524880 x^2-430920 x^3-102960 x^4-10078 x^5-437 x^6-7 x^7+\left(1574640 x^2+677806 x^3+118800 x^4+9944 x^5+395 x^6+6 x^7\right) \log (x)+\left(-9715 x^2-2737 x^3-266 x^4-8 x^5\right) \log ^2(x)+\left(15 x^2+2 x^3\right) \log ^3(x)}{x^2+\left(-10 x-2 x^2\right) \log (x)+\left(25+10 x+x^2\right) \log ^2(x)} \, dx","Integrate[(-524880*x^2 - 430920*x^3 - 102960*x^4 - 10078*x^5 - 437*x^6 - 7*x^7 + (1574640*x^2 + 677806*x^3 + 118800*x^4 + 9944*x^5 + 395*x^6 + 6*x^7)*Log[x] + (-9715*x^2 - 2737*x^3 - 266*x^4 - 8*x^5)*Log[x]^2 + (15*x^2 + 2*x^3)*Log[x]^3)/(x^2 + (-10*x - 2*x^2)*Log[x] + (25 + 10*x + x^2)*Log[x]^2),x]","\frac{x^3 \log ^2(x)+\left(-2 x^5-72 x^4-648 x^3+8375 x+41875\right) \log (x)+\left(x^6+72 x^5+1944 x^4+23328 x^3+104976 x^2-8375\right) x}{(x+5) \log (x)-x}","\frac{x^3 \left(\log (x)-(x+18)^2\right)^2}{(x+5) \log (x)-x}",1,"(x*(-8375 + 104976*x^2 + 23328*x^3 + 1944*x^4 + 72*x^5 + x^6) + (41875 + 8375*x - 648*x^3 - 72*x^4 - 2*x^5)*Log[x] + x^3*Log[x]^2)/(-x + (5 + x)*Log[x])","B",1
3630,1,46,28,0.0476205,"\int \frac{-15 e^{\frac{5}{4 x^2}}+4 x^3-4 e^{2 x} x^3+4 x^4-12 x^5-8 x^6+e^x \left(12 x^4+4 x^5\right)}{2 x^3} \, dx","Integrate[(-15*E^(5/(4*x^2)) + 4*x^3 - 4*E^(2*x)*x^3 + 4*x^4 - 12*x^5 - 8*x^6 + E^x*(12*x^4 + 4*x^5))/(2*x^3),x]","-x^4-2 x^3+x^2+3 e^{\frac{5}{4 x^2}}+2 e^x \left(x^2+x-1\right)+2 x-e^{2 x}","-\left(x^2+x-e^x-1\right)^2+3 e^{\frac{5}{4 x^2}}-5",1,"3*E^(5/(4*x^2)) - E^(2*x) + 2*x + x^2 - 2*x^3 - x^4 + 2*E^x*(-1 + x + x^2)","A",1
3631,1,34,23,0.067076,"\int \frac{1125-450 x+45 x^2+12095 x^4-4879 x^5+492 x^6+\left(-615 x^4+82 x^5\right) \log (x)}{225 x^2-90 x^3+9 x^4} \, dx","Integrate[(1125 - 450*x + 45*x^2 + 12095*x^4 - 4879*x^5 + 492*x^6 + (-615*x^4 + 82*x^5)*Log[x])/(225*x^2 - 90*x^3 + 9*x^4),x]","\frac{164 x^5-820 x^4+41 x^4 \log (x)-45 x+225}{9 (x-5) x}","\frac{\frac{41}{9} x^4 \left(\frac{\log (x)}{x-5}+4\right)-5}{x}",1,"(225 - 45*x - 820*x^4 + 164*x^5 + 41*x^4*Log[x])/(9*(-5 + x)*x)","A",1
3632,1,21,23,0.2648632,"\int \frac{e^{3-\frac{20 e^3 x^3}{-3+2 x}} \left(180 x^2-80 x^3\right)}{27-36 x+12 x^2} \, dx","Integrate[(E^(3 - (20*E^3*x^3)/(-3 + 2*x))*(180*x^2 - 80*x^3))/(27 - 36*x + 12*x^2),x]","\frac{1}{3} e^{\frac{20 e^3 x^3}{3-2 x}}","\frac{1}{3} e^{\frac{20 e^3 x^2}{\frac{3}{x}-2}}",1,"E^((20*E^3*x^3)/(3 - 2*x))/3","A",1
3633,1,6,12,0.0012867,"\int \frac{21}{-125+21 x} \, dx","Integrate[21/(-125 + 21*x),x]","\log (21 x-125)","\log \left(\left(1-\frac{125}{21 x}\right) x\right)",1,"Log[-125 + 21*x]","A",1
3634,1,24,23,0.080482,"\int \frac{1}{18} e^{4 x} \left(x-4 x^2-12 x^3+26 x^4+51 x^5+18 x^6\right) \, dx","Integrate[(E^(4*x)*(x - 4*x^2 - 12*x^3 + 26*x^4 + 51*x^5 + 18*x^6))/18,x]","\frac{1}{36} e^{4 x} x^2 \left(3 x^2+2 x-1\right)^2","\frac{1}{4} e^{4 x} \left(x-\frac{1}{3}\right)^2 \left(x^2+x\right)^2",1,"(E^(4*x)*x^2*(-1 + 2*x + 3*x^2)^2)/36","A",1
3635,1,49,35,0.2994347,"\int \frac{-108 x^2+e^{\frac{e^x}{x}} \left(e^x (162-162 x)-162 x\right) \log (x)+\left(108 x^2-486 x^3\right) \log (x)+\left(36 x+\left(-36 x+216 x^2\right) \log (x)\right) \log \left(\frac{x}{2 \log (x)}\right)-18 x \log (x) \log ^2\left(\frac{x}{2 \log (x)}\right)}{81 e^{\frac{2 e^x}{x}} x^3 \log (x)+162 e^{\frac{e^x}{x}} x^5 \log (x)+81 x^7 \log (x)+\left(-108 e^{\frac{e^x}{x}} x^4 \log (x)-108 x^6 \log (x)\right) \log \left(\frac{x}{2 \log (x)}\right)+\left(18 e^{\frac{e^x}{x}} x^3 \log (x)+54 x^5 \log (x)\right) \log ^2\left(\frac{x}{2 \log (x)}\right)-12 x^4 \log (x) \log ^3\left(\frac{x}{2 \log (x)}\right)+x^3 \log (x) \log ^4\left(\frac{x}{2 \log (x)}\right)} \, dx","Integrate[(-108*x^2 + E^(E^x/x)*(E^x*(162 - 162*x) - 162*x)*Log[x] + (108*x^2 - 486*x^3)*Log[x] + (36*x + (-36*x + 216*x^2)*Log[x])*Log[x/(2*Log[x])] - 18*x*Log[x]*Log[x/(2*Log[x])]^2)/(81*E^((2*E^x)/x)*x^3*Log[x] + 162*E^(E^x/x)*x^5*Log[x] + 81*x^7*Log[x] + (-108*E^(E^x/x)*x^4*Log[x] - 108*x^6*Log[x])*Log[x/(2*Log[x])] + (18*E^(E^x/x)*x^3*Log[x] + 54*x^5*Log[x])*Log[x/(2*Log[x])]^2 - 12*x^4*Log[x]*Log[x/(2*Log[x])]^3 + x^3*Log[x]*Log[x/(2*Log[x])]^4),x]","\frac{18}{x \left(9 x^2+9 e^{\frac{e^x}{x}}+\log ^2\left(\frac{x}{2 \log (x)}\right)-6 x \log \left(\frac{x}{2 \log (x)}\right)\right)}","\frac{2}{x \left(e^{\frac{e^x}{x}}+\left(x-\frac{1}{3} \log \left(\frac{x}{2 \log (x)}\right)\right)^2\right)}",1,"18/(x*(9*E^(E^x/x) + 9*x^2 - 6*x*Log[x/(2*Log[x])] + Log[x/(2*Log[x])]^2))","A",1
3636,1,20,20,0.0606908,"\int \frac{-x^4+\left(4+x^5\right) \log (x)+e^{-3+e^x+x} \left(x^5+e^x x^5\right) \log (x)}{x^5 \log (x)} \, dx","Integrate[(-x^4 + (4 + x^5)*Log[x] + E^(-3 + E^x + x)*(x^5 + E^x*x^5)*Log[x])/(x^5*Log[x]),x]","-\frac{1}{x^4}+x+e^{x+e^x-3}-\log (\log (x))","-\frac{1}{x^4}+x+e^{x+e^x-3}-\log (\log (x))",1,"E^(-3 + E^x + x) - x^(-4) + x - Log[Log[x]]","A",1
3637,1,380,31,0.6759454,"\int \frac{-16-32 x-175 x^2-158 x^3-389 x^4+10 x^5+25 x^6+\left(-8 x^2-8 x^3-40 x^4\right) \log (x)+\left(-4 x^2+20 x^4\right) \log ^2(x)}{x^2+2 x^3+11 x^4+10 x^5+25 x^6} \, dx","Integrate[(-16 - 32*x - 175*x^2 - 158*x^3 - 389*x^4 + 10*x^5 + 25*x^6 + (-8*x^2 - 8*x^3 - 40*x^4)*Log[x] + (-4*x^2 + 20*x^4)*Log[x]^2)/(x^2 + 2*x^3 + 11*x^4 + 10*x^5 + 25*x^6),x]","\frac{-8 i \left(5 x^2+x+1\right) x \text{Li}_2\left(\frac{10 i x}{-i+\sqrt{19}}\right)+8 i \left(5 x^2+x+1\right) x \text{Li}_2\left(-\frac{5 \left(-i+\sqrt{19}\right) x}{9 i+\sqrt{19}}\right)+5 \sqrt{19} x^4+\sqrt{19} x^3-40 i x^3 \log \left(\frac{-10 i x+\sqrt{19}-i}{\sqrt{19}-i}\right) \log (x)+40 i x^3 \log (x) \log \left(\frac{5 \left(\sqrt{19}-i\right) x+\sqrt{19}+9 i}{\sqrt{19}+9 i}\right)+81 \sqrt{19} x^2-4 \sqrt{19} x^2 \log ^2(x)-8 i x^2 \log \left(\frac{-10 i x+\sqrt{19}-i}{\sqrt{19}-i}\right) \log (x)+8 i x^2 \log (x) \log \left(\frac{5 \left(\sqrt{19}-i\right) x+\sqrt{19}+9 i}{\sqrt{19}+9 i}\right)+16 \sqrt{19} x-8 i x \log \left(\frac{-10 i x+\sqrt{19}-i}{\sqrt{19}-i}\right) \log (x)+8 i x \log (x) \log \left(\frac{5 \left(\sqrt{19}-i\right) x+\sqrt{19}+9 i}{\sqrt{19}+9 i}\right)+16 \sqrt{19}}{\sqrt{19} x \left(5 x^2+x+1\right)}","\frac{(x-4)^2+x}{x}-\frac{4 \log ^2(x)}{5 x+\frac{x+1}{x}}",1,"(16*Sqrt[19] + 16*Sqrt[19]*x + 81*Sqrt[19]*x^2 + Sqrt[19]*x^3 + 5*Sqrt[19]*x^4 - (8*I)*x*Log[(-I + Sqrt[19] - (10*I)*x)/(-I + Sqrt[19])]*Log[x] - (8*I)*x^2*Log[(-I + Sqrt[19] - (10*I)*x)/(-I + Sqrt[19])]*Log[x] - (40*I)*x^3*Log[(-I + Sqrt[19] - (10*I)*x)/(-I + Sqrt[19])]*Log[x] - 4*Sqrt[19]*x^2*Log[x]^2 + (8*I)*x*Log[x]*Log[(9*I + Sqrt[19] + 5*(-I + Sqrt[19])*x)/(9*I + Sqrt[19])] + (8*I)*x^2*Log[x]*Log[(9*I + Sqrt[19] + 5*(-I + Sqrt[19])*x)/(9*I + Sqrt[19])] + (40*I)*x^3*Log[x]*Log[(9*I + Sqrt[19] + 5*(-I + Sqrt[19])*x)/(9*I + Sqrt[19])] - (8*I)*x*(1 + x + 5*x^2)*PolyLog[2, ((10*I)*x)/(-I + Sqrt[19])] + (8*I)*x*(1 + x + 5*x^2)*PolyLog[2, (-5*(-I + Sqrt[19])*x)/(9*I + Sqrt[19])])/(Sqrt[19]*x*(1 + x + 5*x^2))","C",1
3638,1,24,29,0.0439411,"\int \frac{25+e^{2 x}+e^{4 x}-40 x+61 x^2-24 x^3+e^x \left(10-8 x+9 x^2-3 x^3\right)+e^{2 x} \left(-10-2 e^x+8 x-9 x^2+6 x^3\right)}{25+e^{2 x}+e^{4 x}+e^x (10-8 x)-40 x+16 x^2+e^{2 x} \left(-10-2 e^x+8 x\right)} \, dx","Integrate[(25 + E^(2*x) + E^(4*x) - 40*x + 61*x^2 - 24*x^3 + E^x*(10 - 8*x + 9*x^2 - 3*x^3) + E^(2*x)*(-10 - 2*E^x + 8*x - 9*x^2 + 6*x^3))/(25 + E^(2*x) + E^(4*x) + E^x*(10 - 8*x) - 40*x + 16*x^2 + E^(2*x)*(-10 - 2*E^x + 8*x)),x]","x-\frac{3 x^3}{4 x-e^x+e^{2 x}-5}","-\frac{x^3}{x+\frac{1}{3} \left(x-e^x+e^{2 x}-5\right)}+x+3",1,"x - (3*x^3)/(-5 - E^x + E^(2*x) + 4*x)","A",1
3639,1,21,24,1.11707,"\int \frac{\exp \left(\frac{-150+10 e^{2 e^5 x^2}+2 x}{-15+e^{2 e^5 x^2}}\right) \left(-30+e^{2 e^5 x^2} \left(2-8 e^5 x^2\right)\right)}{225-30 e^{2 e^5 x^2}+e^{4 e^5 x^2}} \, dx","Integrate[(E^((-150 + 10*E^(2*E^5*x^2) + 2*x)/(-15 + E^(2*E^5*x^2)))*(-30 + E^(2*E^5*x^2)*(2 - 8*E^5*x^2)))/(225 - 30*E^(2*E^5*x^2) + E^(4*E^5*x^2)),x]","e^{\frac{2 x}{e^{2 e^5 x^2}-15}+10}","e^{2 \left(\frac{x}{e^{2 e^5 x^2}-15}+5\right)}+2",1,"E^(10 + (2*x)/(-15 + E^(2*E^5*x^2)))","A",1
3640,1,30,31,0.4900165,"\int \frac{\exp \left(\frac{x^2}{9+e^{2 e^{-x+x^2 \log (x)} x}-6 x^2+x^4+e^{e^{-x+x^2 \log (x)} x} \left(6-2 x^2\right)}\right) \left(e^{x-x^2 \log (x)} \left(6 x+2 x^3\right)+e^{e^{-x+x^2 \log (x)} x} \left(2 e^{x-x^2 \log (x)} x-2 x^2+2 x^3-2 x^4-4 x^4 \log (x)\right)\right)}{e^{x+3 e^{-x+x^2 \log (x)} x-x^2 \log (x)}+e^{x+2 e^{-x+x^2 \log (x)} x-x^2 \log (x)} \left(9-3 x^2\right)+e^{x+e^{-x+x^2 \log (x)} x-x^2 \log (x)} \left(27-18 x^2+3 x^4\right)+e^{x-x^2 \log (x)} \left(27-27 x^2+9 x^4-x^6\right)} \, dx","Integrate[(E^(x^2/(9 + E^(2*E^(-x + x^2*Log[x])*x) - 6*x^2 + x^4 + E^(E^(-x + x^2*Log[x])*x)*(6 - 2*x^2)))*(E^(x - x^2*Log[x])*(6*x + 2*x^3) + E^(E^(-x + x^2*Log[x])*x)*(2*E^(x - x^2*Log[x])*x - 2*x^2 + 2*x^3 - 2*x^4 - 4*x^4*Log[x])))/(E^(x + 3*E^(-x + x^2*Log[x])*x - x^2*Log[x]) + E^(x + 2*E^(-x + x^2*Log[x])*x - x^2*Log[x])*(9 - 3*x^2) + E^(x + E^(-x + x^2*Log[x])*x - x^2*Log[x])*(27 - 18*x^2 + 3*x^4) + E^(x - x^2*Log[x])*(27 - 27*x^2 + 9*x^4 - x^6)),x]","e^{\frac{x^2}{\left(-x^2+e^{e^{-x} x^{x^2+1}}+3\right)^2}}","e^{\frac{x^2}{\left(-x^2+e^{x e^{x^2 \log (x)-x}}+3\right)^2}}",1,"E^(x^2/(3 + E^(x^(1 + x^2)/E^x) - x^2)^2)","A",1
3641,1,32,31,0.0836783,"\int \frac{25 e^2-40 x^3-12 x^4+400 x^6+160 x^7+16 x^8+e \left(5+200 x^3+40 x^4\right)+e^{2 x} \left(400 x^4+160 x^5+16 x^6\right)+e^x \left(-20 x^2-28 x^3-4 x^4+800 x^5+320 x^6+32 x^7+e \left(200 x^2+40 x^3\right)\right)}{50 e^2+800 x^6+320 x^7+32 x^8+e \left(400 x^3+80 x^4\right)+e^{2 x} \left(800 x^4+320 x^5+32 x^6\right)+e^x \left(1600 x^5+640 x^6+64 x^7+e \left(400 x^2+80 x^3\right)\right)} \, dx","Integrate[(25*E^2 - 40*x^3 - 12*x^4 + 400*x^6 + 160*x^7 + 16*x^8 + E*(5 + 200*x^3 + 40*x^4) + E^(2*x)*(400*x^4 + 160*x^5 + 16*x^6) + E^x*(-20*x^2 - 28*x^3 - 4*x^4 + 800*x^5 + 320*x^6 + 32*x^7 + E*(200*x^2 + 40*x^3)))/(50*E^2 + 800*x^6 + 320*x^7 + 32*x^8 + E*(400*x^3 + 80*x^4) + E^(2*x)*(800*x^4 + 320*x^5 + 32*x^6) + E^x*(1600*x^5 + 640*x^6 + 64*x^7 + E*(400*x^2 + 80*x^3))),x]","\frac{1}{2} x \left(\frac{1}{4 (x+5) x^3+4 e^x (x+5) x^2+5 e}+1\right)","\frac{1}{2} \left(\frac{x}{4 (x+5) \left(x+e^x\right) x^2+5 e}-x\right)+x",1,"(x*(1 + (5*E + 4*E^x*x^2*(5 + x) + 4*x^3*(5 + x))^(-1)))/2","A",1
3642,1,29,25,0.0741248,"\int \frac{74 e^{e^3} x-56 e^{e^3} x \log \left(3 x^2\right)+10 e^{e^3} x \log ^2\left(3 x^2\right)}{9-6 \log \left(3 x^2\right)+\log ^2\left(3 x^2\right)} \, dx","Integrate[(74*E^E^3*x - 56*E^E^3*x*Log[3*x^2] + 10*E^E^3*x*Log[3*x^2]^2)/(9 - 6*Log[3*x^2] + Log[3*x^2]^2),x]","2 e^{e^3} \left(\frac{5 x^2}{2}+\frac{x^2}{\log \left(3 x^2\right)-3}\right)","e^{e^3} x^2 \left(5-\frac{2}{3-\log \left(3 x^2\right)}\right)",1,"2*E^E^3*((5*x^2)/2 + x^2/(-3 + Log[3*x^2]))","A",1
3643,1,27,23,0.0126764,"\int \left(-1+4 e^x-3 x+x^2+\left(-2 x+3 x^2\right) \log (x)\right) \, dx","Integrate[-1 + 4*E^x - 3*x + x^2 + (-2*x + 3*x^2)*Log[x],x]","x^3 \log (x)-x^2-x^2 \log (x)-x+4 e^x","4 e^x-x \left(-\left(x^2-x\right) \log (x)+x+1\right)",1,"4*E^x - x - x^2 - x^2*Log[x] + x^3*Log[x]","A",1
3644,1,11,13,0.0039367,"\int \frac{5}{2} e^{\frac{2+x}{2}} \, dx","Integrate[(5*E^((2 + x)/2))/2,x]","5 e^{\frac{x}{2}+1}","5 e^{\frac{x}{2}+1}-5",1,"5*E^(1 + x/2)","A",1
3645,1,13,18,0.007806,"\int \frac{8+2 x-2 x^2+x^3}{4 x-4 x^2+x^3} \, dx","Integrate[(8 + 2*x - 2*x^2 + x^3)/(4*x - 4*x^2 + x^3),x]","x-\frac{6}{x-2}+2 \log (x)","\log \left(-x^2\right)+x+\frac{6}{2-x}-4",1,"-6/(-2 + x) + x + 2*Log[x]","A",1
3646,1,22,22,0.0939471,"\int \frac{1+x+e^5 (3+x)+e^5 \log (x)+(3+x+\log (x)) \log (-3-x-\log (x))+\left(e^5 (-6-2 x)-2 e^5 \log (x)+(-6-2 x-2 \log (x)) \log (-3-x-\log (x))\right) \log \left(\frac{e^5 x+x \log (-3-x-\log (x))}{e^5}\right)}{e^5 \left(3 x^3+x^4\right)+e^5 x^3 \log (x)+\left(3 x^3+x^4+x^3 \log (x)\right) \log (-3-x-\log (x))} \, dx","Integrate[(1 + x + E^5*(3 + x) + E^5*Log[x] + (3 + x + Log[x])*Log[-3 - x - Log[x]] + (E^5*(-6 - 2*x) - 2*E^5*Log[x] + (-6 - 2*x - 2*Log[x])*Log[-3 - x - Log[x]])*Log[(E^5*x + x*Log[-3 - x - Log[x]])/E^5])/(E^5*(3*x^3 + x^4) + E^5*x^3*Log[x] + (3*x^3 + x^4 + x^3*Log[x])*Log[-3 - x - Log[x]]),x]","\frac{\log \left(x+\frac{x \log (-x-\log (x)-3)}{e^5}\right)}{x^2}","\frac{\log \left(x+\frac{x \log (-x-\log (x)-3)}{e^5}\right)}{x^2}",1,"Log[x + (x*Log[-3 - x - Log[x]])/E^5]/x^2","A",1
3647,1,40,29,0.4235808,"\int \frac{-300+270 x-72 x^2+6 x^3+e^4 (-12+6 x)+e^2 \left(-120+84 x-12 x^2\right)+e^{\frac{1}{5+e^2-x}} \left(-50+e^4 (-2+x)+43 x-13 x^2+x^3+e^2 \left(-20+14 x-2 x^2\right)\right)+\left(-600-24 e^4+240 x-24 x^2+e^2 (-240+48 x)+e^{\frac{1}{5+e^2-x}} \left(-100-4 e^4+36 x-6 x^2+e^2 (-40+8 x)\right)\right) \log (2+x)+\left(-300+e^4 (-12-6 x)-30 x+48 x^2-6 x^3+e^2 \left(-120-36 x+12 x^2\right)+e^{\frac{1}{5+e^2-x}} \left(-50+e^4 (-2-x)-7 x+7 x^2-x^3+e^2 \left(-20-6 x+2 x^2\right)\right)\right) \log ^2(2+x)}{1800 x^2+180 x^3-288 x^4+36 x^5+e^4 \left(72 x^2+36 x^3\right)+e^2 \left(720 x^2+216 x^3-72 x^4\right)+e^{\frac{1}{5+e^2-x}} \left(600 x^2+60 x^3-96 x^4+12 x^5+e^4 \left(24 x^2+12 x^3\right)+e^2 \left(240 x^2+72 x^3-24 x^4\right)\right)+e^{\frac{2}{5+e^2-x}} \left(50 x^2+5 x^3-8 x^4+x^5+e^4 \left(2 x^2+x^3\right)+e^2 \left(20 x^2+6 x^3-2 x^4\right)\right)} \, dx","Integrate[(-300 + 270*x - 72*x^2 + 6*x^3 + E^4*(-12 + 6*x) + E^2*(-120 + 84*x - 12*x^2) + E^(5 + E^2 - x)^(-1)*(-50 + E^4*(-2 + x) + 43*x - 13*x^2 + x^3 + E^2*(-20 + 14*x - 2*x^2)) + (-600 - 24*E^4 + 240*x - 24*x^2 + E^2*(-240 + 48*x) + E^(5 + E^2 - x)^(-1)*(-100 - 4*E^4 + 36*x - 6*x^2 + E^2*(-40 + 8*x)))*Log[2 + x] + (-300 + E^4*(-12 - 6*x) - 30*x + 48*x^2 - 6*x^3 + E^2*(-120 - 36*x + 12*x^2) + E^(5 + E^2 - x)^(-1)*(-50 + E^4*(-2 - x) - 7*x + 7*x^2 - x^3 + E^2*(-20 - 6*x + 2*x^2)))*Log[2 + x]^2)/(1800*x^2 + 180*x^3 - 288*x^4 + 36*x^5 + E^4*(72*x^2 + 36*x^3) + E^2*(720*x^2 + 216*x^3 - 72*x^4) + E^(5 + E^2 - x)^(-1)*(600*x^2 + 60*x^3 - 96*x^4 + 12*x^5 + E^4*(24*x^2 + 12*x^3) + E^2*(240*x^2 + 72*x^3 - 24*x^4)) + E^(2/(5 + E^2 - x))*(50*x^2 + 5*x^3 - 8*x^4 + x^5 + E^4*(2*x^2 + x^3) + E^2*(20*x^2 + 6*x^3 - 2*x^4))),x]","\frac{e^{\frac{1}{x-e^2-5}} (\log (x+2)+1)^2}{6 e^{\frac{1}{x-e^2-5}} x+x}","\frac{(\log (x+2)+1)^2}{\left(e^{\frac{1}{-x+e^2+5}}+5\right) x+x}",1,"(E^(-5 - E^2 + x)^(-1)*(1 + Log[2 + x])^2)/(x + 6*E^(-5 - E^2 + x)^(-1)*x)","A",1
3648,1,26,27,0.9908832,"\int \frac{e^{-x} \left(9 e^x x+e^{e^{-x} \left(e^x \left(5-e^2\right)-x+e^x \log \left(x^2\right)\right)} \left(-2 e^x+x-x^2\right)\right)}{x} \, dx","Integrate[(9*E^x*x + E^((E^x*(5 - E^2) - x + E^x*Log[x^2])/E^x)*(-2*E^x + x - x^2))/(E^x*x),x]","9 x-e^{-e^{-x} x-e^2+5} x^2","-e^{-e^{-x} x-e^2+5} x^2+9 x+3",1,"9*x - E^(5 - E^2 - x/E^x)*x^2","A",1
3649,1,25,27,0.0423685,"\int \frac{\left(16-8 x+x^2\right) \log ^2(3)+\left(-16-60 x+32 x^2-4 x^3\right) \log (x)-4 x \log ^2(x)+\left(\left(16+60 x-32 x^2+4 x^3\right) \log (x)+4 x \log ^2(x)\right) \log (\log (x))+\left(\left(-4-15 x+8 x^2-x^3\right) \log (x)-x \log ^2(x)\right) \log ^2(\log (x))}{\left(64 x-32 x^2+4 x^3\right) \log (x)+\left(-64 x+32 x^2-4 x^3\right) \log (x) \log (\log (x))+\left(16 x-8 x^2+x^3\right) \log (x) \log ^2(\log (x))} \, dx","Integrate[((16 - 8*x + x^2)*Log[3]^2 + (-16 - 60*x + 32*x^2 - 4*x^3)*Log[x] - 4*x*Log[x]^2 + ((16 + 60*x - 32*x^2 + 4*x^3)*Log[x] + 4*x*Log[x]^2)*Log[Log[x]] + ((-4 - 15*x + 8*x^2 - x^3)*Log[x] - x*Log[x]^2)*Log[Log[x]]^2)/((64*x - 32*x^2 + 4*x^3)*Log[x] + (-64*x + 32*x^2 - 4*x^3)*Log[x]*Log[Log[x]] + (16*x - 8*x^2 + x^3)*Log[x]*Log[Log[x]]^2),x]","-x-\frac{\log ^2(3)}{\log (\log (x))-2}+\frac{\log (x)}{x-4}","-x+\frac{\log ^2(3)}{2-\log (\log (x))}+\frac{\log (x)}{x-4}+16",1,"-x + Log[x]/(-4 + x) - Log[3]^2/(-2 + Log[Log[x]])","A",1
3650,1,14,14,0.023245,"\int \frac{-2+2 x+x^2+\left(1+2 x+x^2\right) \log (3 x)}{1+2 x+x^2} \, dx","Integrate[(-2 + 2*x + x^2 + (1 + 2*x + x^2)*Log[3*x])/(1 + 2*x + x^2),x]","\frac{3}{x+1}+x \log (3 x)","\frac{3}{x+1}+x \log (3 x)",1,"3/(1 + x) + x*Log[3*x]","A",1
3651,1,16,26,0.0197134,"\int -\frac{20}{x \log \left(\frac{2 x^2}{1+\log (\log (5))}\right)} \, dx","Integrate[-20/(x*Log[(2*x^2)/(1 + Log[Log[5]])]),x]","-10 \log \left(\log \left(\frac{2 x^2}{1+\log (\log (5))}\right)\right)","5 \left(\log \left(\frac{e^4}{\log ^2\left(\frac{2 x^3}{x+x \log (\log (5))}\right)}\right)+1\right)",1,"-10*Log[Log[(2*x^2)/(1 + Log[Log[5]])]]","A",1
3652,1,20,20,0.140268,"\int \frac{e^{-4 x} \left(-25-10 x-x^2+\left(-25-100 x-39 x^2-4 x^3\right) \log \left(\frac{5}{x}\right)\right)}{x^2} \, dx","Integrate[(-25 - 10*x - x^2 + (-25 - 100*x - 39*x^2 - 4*x^3)*Log[5/x])/(E^(4*x)*x^2),x]","\frac{e^{-4 x} (x+5)^2 \log \left(\frac{5}{x}\right)}{x}","\frac{e^{-4 x} (x+5)^2 \log \left(\frac{5}{x}\right)}{x}",1,"((5 + x)^2*Log[5/x])/(E^(4*x)*x)","A",1
3653,1,21,25,0.2320811,"\int \frac{e^{e^{4/x}} \left(-8 e^{4/x}-2 x\right)}{e^{8+2 e^{4/x}} x-2 e^{8+e^{4/x}} x^2+e^8 x^3} \, dx","Integrate[(E^E^(4/x)*(-8*E^(4/x) - 2*x))/(E^(8 + 2*E^(4/x))*x - 2*E^(8 + E^(4/x))*x^2 + E^8*x^3),x]","-\frac{2 x}{e^8 \left(e^{e^{4/x}}-x\right)}","2 \left(2-\frac{x}{e^8 \left(e^{e^{4/x}}-x\right)}\right)",1,"(-2*x)/(E^8*(E^E^(4/x) - x))","A",1
3654,1,44,22,1.1349049,"\int \frac{3-3 x+e^x \left(-9 x-28 x^2+23 x^3+14 x^4\right)+\left(e^x \left(9 x+14 x^2\right)-3 \log (x)\right) \log \left(\frac{1}{3} \left(e^x \left(-9 x-14 x^2\right)+3 \log (x)\right)\right)}{e^x \left(-9 x^3-14 x^4\right)+3 x^2 \log (x)} \, dx","Integrate[(3 - 3*x + E^x*(-9*x - 28*x^2 + 23*x^3 + 14*x^4) + (E^x*(9*x + 14*x^2) - 3*Log[x])*Log[(E^x*(-9*x - 14*x^2) + 3*Log[x])/3])/(E^x*(-9*x^3 - 14*x^4) + 3*x^2*Log[x]),x]","\frac{\log \left(\log (x)-\frac{1}{3} e^x x (14 x+9)\right)}{x}-\log \left(14 e^x x^2+9 e^x x-3 \log (x)\right)","\left(\frac{1}{x}-1\right) \log \left(e^x \left(-\frac{14 x}{3}-3\right) x+\log (x)\right)",1,"-Log[9*E^x*x + 14*E^x*x^2 - 3*Log[x]] + Log[-1/3*(E^x*x*(9 + 14*x)) + Log[x]]/x","A",1
3655,1,164,23,0.0230912,"\int \frac{1}{625} \left(625+3000 x+8775 x^2+12400 x^3+12960 x^4+7936 x^5+1792 x^6+\left(1100 x+3000 x^2+5280 x^3+4992 x^4+1536 x^5\right) \log (x)+\left(100 x+510 x^2+1008 x^3+480 x^4\right) \log ^2(x)+\left(64 x^2+64 x^3\right) \log ^3(x)+3 x^2 \log ^4(x)\right) \, dx","Integrate[(625 + 3000*x + 8775*x^2 + 12400*x^3 + 12960*x^4 + 7936*x^5 + 1792*x^6 + (1100*x + 3000*x^2 + 5280*x^3 + 4992*x^4 + 1536*x^5)*Log[x] + (100*x + 510*x^2 + 1008*x^3 + 480*x^4)*Log[x]^2 + (64*x^2 + 64*x^3)*Log[x]^3 + 3*x^2*Log[x]^4)/625,x]","\frac{256 x^7}{625}+\frac{256 x^6}{125}+\frac{256}{625} x^6 \log (x)+\frac{96 x^5}{25}+\frac{96}{625} x^5 \log ^2(x)+\frac{192}{125} x^5 \log (x)+\frac{112 x^4}{25}+\frac{16}{625} x^4 \log ^3(x)+\frac{48}{125} x^4 \log ^2(x)+\frac{48}{25} x^4 \log (x)+\frac{21 x^3}{5}+\frac{1}{625} x^3 \log ^4(x)+\frac{4}{125} x^3 \log ^3(x)+\frac{6}{25} x^3 \log ^2(x)+\frac{36}{25} x^3 \log (x)+2 x^2+\frac{2}{25} x^2 \log ^2(x)+\frac{4}{5} x^2 \log (x)+x","\frac{\left(x+\left(x+\frac{1}{5} x (4 x+\log (x))\right)^2\right)^2}{x}",1,"x + 2*x^2 + (21*x^3)/5 + (112*x^4)/25 + (96*x^5)/25 + (256*x^6)/125 + (256*x^7)/625 + (4*x^2*Log[x])/5 + (36*x^3*Log[x])/25 + (48*x^4*Log[x])/25 + (192*x^5*Log[x])/125 + (256*x^6*Log[x])/625 + (2*x^2*Log[x]^2)/25 + (6*x^3*Log[x]^2)/25 + (48*x^4*Log[x]^2)/125 + (96*x^5*Log[x]^2)/625 + (4*x^3*Log[x]^3)/125 + (16*x^4*Log[x]^3)/625 + (x^3*Log[x]^4)/625","B",1
3656,1,32,29,0.2722715,"\int \frac{-119+61 x+e^x \left(-x-121 x^2+60 x^3\right)+\left(60+60 e^x x^2\right) \log (x)}{300 x-150 x^2+e^x \left(-300 x^2+150 x^3\right)+\left(-150 x+150 e^x x^2\right) \log (x)} \, dx","Integrate[(-119 + 61*x + E^x*(-x - 121*x^2 + 60*x^3) + (60 + 60*E^x*x^2)*Log[x])/(300*x - 150*x^2 + E^x*(-300*x^2 + 150*x^3) + (-150*x + 150*E^x*x^2)*Log[x]),x]","\frac{1}{150} \left(-60 \log (x)+60 \log \left(1-e^x x\right)-\log (-x-\log (x)+2)\right)","\frac{2}{5} \left(\log \left(\frac{1}{x}-e^x\right)-\frac{1}{60} \log (-x-\log (x)+2)\right)",1,"(-60*Log[x] + 60*Log[1 - E^x*x] - Log[2 - x - Log[x]])/150","A",1
3657,1,19,21,0.1105643,"\int \frac{e^{e^{\frac{e^{x^2}}{x}}} \left(10 x^2+2 x^3+e^{\frac{e^{x^2}}{x}+x^2} \left(-25-10 x+49 x^2+20 x^3+2 x^4\right)\right)}{x^2} \, dx","Integrate[(E^E^(E^x^2/x)*(10*x^2 + 2*x^3 + E^(E^x^2/x + x^2)*(-25 - 10*x + 49*x^2 + 20*x^3 + 2*x^4)))/x^2,x]","e^{e^{\frac{e^{x^2}}{x}}} (x+5)^2","e^{e^{\frac{e^{x^2}}{x}}} (x+5)^2-2",1,"E^E^(E^x^2/x)*(5 + x)^2","A",1
3658,1,32,27,0.2414856,"\int \frac{e^{20} \left(548371200000000 x^3+172947840000000 x^4+23828513280000 x^5+1873311897600 x^6+91912863744 x^7+2882018304 x^8+56398848 x^9+629760 x^{10}+3072 x^{11}\right)}{152587890625 x^8+48828125000 x^9+6835937500 x^{10}+546875000 x^{11}+27343750 x^{12}+875000 x^{13}+17500 x^{14}+200 x^{15}+x^{16}+e^{40} \left(218971048064843776+67375707096875008 x+9069806724579328 x^2+697677440352256 x^3+33542184632320 x^4+1032067219456 x^5+19847446528 x^6+218103808 x^7+1048576 x^8\right)+e^{20} \left(365580800000000 x^4+114736128000000 x^5+15753287680000 x^6+1235891404800 x^7+60596226048 x^8+1901371392 x^9+37285888 x^{10}+417792 x^{11}+2048 x^{12}\right)} \, dx","Integrate[(E^20*(548371200000000*x^3 + 172947840000000*x^4 + 23828513280000*x^5 + 1873311897600*x^6 + 91912863744*x^7 + 2882018304*x^8 + 56398848*x^9 + 629760*x^10 + 3072*x^11))/(152587890625*x^8 + 48828125000*x^9 + 6835937500*x^10 + 546875000*x^11 + 27343750*x^12 + 875000*x^13 + 17500*x^14 + 200*x^15 + x^16 + E^40*(218971048064843776 + 67375707096875008*x + 9069806724579328*x^2 + 697677440352256*x^3 + 33542184632320*x^4 + 1032067219456*x^5 + 19847446528*x^6 + 218103808*x^7 + 1048576*x^8) + E^20*(365580800000000*x^4 + 114736128000000*x^5 + 15753287680000*x^6 + 1235891404800*x^7 + 60596226048*x^8 + 1901371392*x^9 + 37285888*x^10 + 417792*x^11 + 2048*x^12)),x]","-\frac{768 e^{20} (x+26)^4}{x^4 (x+25)^4+1024 e^{20} (x+26)^4}","\frac{3}{\frac{256 e^{20} \left(\frac{6}{x+25}+6\right)^4}{81 x^4}+4}",1,"(-768*E^20*(26 + x)^4)/(x^4*(25 + x)^4 + 1024*E^20*(26 + x)^4)","A",1
3659,1,15,19,0.0043725,"\int \frac{-e^3+2 x}{e^3 x-x^2} \, dx","Integrate[(-E^3 + 2*x)/(E^3*x - x^2),x]","-\log \left(e^3-x\right)-\log (x)","\log \left(\frac{1}{5 \left(e^3-x\right) x}\right)+16",1,"-Log[E^3 - x] - Log[x]","A",1
3660,1,36,21,0.1901896,"\int \frac{x+e^{2 x} x+e^{-8 \log ^2(x)} x+x^3+e^x \left(-x-2 x^2\right)+e^{-4 \log ^2(x)} \left(-2 e^x x+2 x^2-8 \log (x)\right)}{e^{2 x} x+e^{-8 \log ^2(x)} x-2 e^x x^2+x^3+e^{-4 \log ^2(x)} \left(-2 e^x x+2 x^2\right)} \, dx","Integrate[(x + E^(2*x)*x + x/E^(8*Log[x]^2) + x^3 + E^x*(-x - 2*x^2) + (-2*E^x*x + 2*x^2 - 8*Log[x])/E^(4*Log[x]^2))/(E^(2*x)*x + x/E^(8*Log[x]^2) - 2*E^x*x^2 + x^3 + (-2*E^x*x + 2*x^2)/E^(4*Log[x]^2)),x]","x+\frac{e^{4 \log ^2(x)}}{x \left(-e^{4 \log ^2(x)}\right)+e^{x+4 \log ^2(x)}-1}","x+\frac{1}{-x+e^x-e^{-4 \log ^2(x)}}",1,"x + E^(4*Log[x]^2)/(-1 + E^(x + 4*Log[x]^2) - E^(4*Log[x]^2)*x)","A",1
3661,1,24,26,0.0189046,"\int \frac{-4+160 x-416 x^2-96 x^3}{x \log ^2\left(e^{-80 x+104 x^2+16 x^3} x^2\right)} \, dx","Integrate[(-4 + 160*x - 416*x^2 - 96*x^3)/(x*Log[E^(-80*x + 104*x^2 + 16*x^3)*x^2]^2),x]","\frac{2}{\log \left(e^{8 x \left(2 x^2+13 x-10\right)} x^2\right)}","\frac{2}{\log \left(e^{8 x \left(2 \left(x^2+6 x-5\right)+x\right)} x^2\right)}",1,"2/Log[E^(8*x*(-10 + 13*x + 2*x^2))*x^2]","A",1
3662,1,24,27,0.3783394,"\int \frac{-30+e^x \left(-200 x-200 x^2\right)+e^x \left(-80 x-80 x^2\right) \log (x)+e^x \left(-8 x-8 x^2\right) \log ^2(x)}{225 x-600 e^x x^2+400 e^{2 x} x^3+\left(-120 e^x x^2+160 e^{2 x} x^3\right) \log (x)+16 e^{2 x} x^3 \log ^2(x)} \, dx","Integrate[(-30 + E^x*(-200*x - 200*x^2) + E^x*(-80*x - 80*x^2)*Log[x] + E^x*(-8*x - 8*x^2)*Log[x]^2)/(225*x - 600*E^x*x^2 + 400*E^(2*x)*x^3 + (-120*E^x*x^2 + 160*E^(2*x)*x^3)*Log[x] + 16*E^(2*x)*x^3*Log[x]^2),x]","-\frac{2 (\log (x)+5)}{-20 e^x x-4 e^x x \log (x)+15}","\frac{2}{4 e^x x+\frac{1}{\frac{1}{3} \left(2-\frac{\log (x)}{5}\right)-1}}",1,"(-2*(5 + Log[x]))/(15 - 20*E^x*x - 4*E^x*x*Log[x])","A",1
3663,1,25,22,0.1272786,"\int \frac{e^{-x} \left(-2+3 x-4 x^2+x^3+\frac{5}{2} e^2 \left(1-x+x^2\right)+\left(3 x-\frac{5 e^2 x}{2}-x^2\right) \log (x)\right)}{x} \, dx","Integrate[(-2 + 3*x - 4*x^2 + x^3 + (5*E^2*(1 - x + x^2))/2 + (3*x - (5*E^2*x)/2 - x^2)*Log[x])/(E^x*x),x]","-\frac{1}{2} e^{-x} \left(2 x+5 e^2-4\right) (x-\log (x))","e^{-x} \left(x+\frac{5 e^2}{2}-2\right) (\log (x)-x)",1,"-1/2*((-4 + 5*E^2 + 2*x)*(x - Log[x]))/E^x","A",1
3664,1,23,20,166.3841308,"\int \frac{-4398046511104 e^{-20460-20 x}-17179869184 e^{-15345-15 x} x-25165824 e^{-10230-10 x} x^2-16384 e^{-5115-5 x} x^3-4 x^4+\left(-21990232555520 e^{-20460-20 x} x+4 x^4+1073741824 e^{-15345-15 x} \left(4 x-60 x^2\right)+1048576 e^{-10230-10 x} \left(12 x^2-60 x^3\right)+1024 e^{-5115-5 x} \left(12 x^3-20 x^4\right)\right) \log (x)}{x \log ^5(x)} \, dx","Integrate[(-4398046511104*E^(-20460 - 20*x) - 17179869184*E^(-15345 - 15*x)*x - 25165824*E^(-10230 - 10*x)*x^2 - 16384*E^(-5115 - 5*x)*x^3 - 4*x^4 + (-21990232555520*E^(-20460 - 20*x)*x + 4*x^4 + 1073741824*E^(-15345 - 15*x)*(4*x - 60*x^2) + 1048576*E^(-10230 - 10*x)*(12*x^2 - 60*x^3) + 1024*E^(-5115 - 5*x)*(12*x^3 - 20*x^4))*Log[x])/(x*Log[x]^5),x]","\frac{\left(e^{5115} x+1024 e^{-5 x}\right)^4}{e^{20460} \log ^4(x)}","\frac{\left(x+e^{5 (-x-1023+\log (4))}\right)^4}{\log ^4(x)}",1,"(1024/E^(5*x) + E^5115*x)^4/(E^20460*Log[x]^4)","A",1
3665,1,16,18,0.0466257,"\int \left(25-25 e^x+e^{x+e^x x} (1+x)\right) \, dx","Integrate[25 - 25*E^x + E^(x + E^x*x)*(1 + x),x]","25 x-25 e^x+e^{e^x x}","e^{e^x x}-25 \left(-x+e^x-4\right)",1,"-25*E^x + E^(E^x*x) + 25*x","A",1
3666,1,16,24,0.0108759,"\int -\frac{20 e^{5 x}}{3-10 e^{5 x}+7 e^{10 x}} \, dx","Integrate[(-20*E^(5*x))/(3 - 10*E^(5*x) + 7*E^(10*x)),x]","2 \tanh ^{-1}\left(\frac{1}{4} \left(14 e^{5 x}-10\right)\right)","\log \left(\frac{4 x^2}{x^2-e^{-5 x} x^2}+3\right)",1,"2*ArcTanh[(-10 + 14*E^(5*x))/4]","A",1
3667,0,0,26,0.8289156,"\int \frac{-48+48 x-12 x^2+e^{\frac{-12+4 x+2 \log (x)}{-4+2 x+\log (x)}} \left(4 x+8 x^2\right)+(24-12 x) \log (x)-3 \log ^2(x)}{48 x-48 x^2+12 x^3+\left(-24 x+12 x^2\right) \log (x)+3 x \log ^2(x)+e^{\frac{-12+4 x+2 \log (x)}{-4+2 x+\log (x)}} \left(16 x^2-16 x^3+4 x^4+\left(-8 x^2+4 x^3\right) \log (x)+x^2 \log ^2(x)\right)} \, dx","Integrate[(-48 + 48*x - 12*x^2 + E^((-12 + 4*x + 2*Log[x])/(-4 + 2*x + Log[x]))*(4*x + 8*x^2) + (24 - 12*x)*Log[x] - 3*Log[x]^2)/(48*x - 48*x^2 + 12*x^3 + (-24*x + 12*x^2)*Log[x] + 3*x*Log[x]^2 + E^((-12 + 4*x + 2*Log[x])/(-4 + 2*x + Log[x]))*(16*x^2 - 16*x^3 + 4*x^4 + (-8*x^2 + 4*x^3)*Log[x] + x^2*Log[x]^2)),x]","\int \frac{-48+48 x-12 x^2+e^{\frac{-12+4 x+2 \log (x)}{-4+2 x+\log (x)}} \left(4 x+8 x^2\right)+(24-12 x) \log (x)-3 \log ^2(x)}{48 x-48 x^2+12 x^3+\left(-24 x+12 x^2\right) \log (x)+3 x \log ^2(x)+e^{\frac{-12+4 x+2 \log (x)}{-4+2 x+\log (x)}} \left(16 x^2-16 x^3+4 x^4+\left(-8 x^2+4 x^3\right) \log (x)+x^2 \log ^2(x)\right)} \, dx","\log \left(\frac{3}{x}+e^{\frac{4}{-2 x-\log (x)+4}+2}\right)+9",1,"Integrate[(-48 + 48*x - 12*x^2 + E^((-12 + 4*x + 2*Log[x])/(-4 + 2*x + Log[x]))*(4*x + 8*x^2) + (24 - 12*x)*Log[x] - 3*Log[x]^2)/(48*x - 48*x^2 + 12*x^3 + (-24*x + 12*x^2)*Log[x] + 3*x*Log[x]^2 + E^((-12 + 4*x + 2*Log[x])/(-4 + 2*x + Log[x]))*(16*x^2 - 16*x^3 + 4*x^4 + (-8*x^2 + 4*x^3)*Log[x] + x^2*Log[x]^2)), x]","F",-1
3668,1,10,18,0.0357809,"\int \frac{8-8 x}{\left(-2 x+x^2\right) \log \left(-4 x+2 x^2\right)} \, dx","Integrate[(8 - 8*x)/((-2*x + x^2)*Log[-4*x + 2*x^2]),x]","-4 \log (\log (2 (x-2) x))","\log \left(\frac{256}{9 e^{16} \log ^4(x (2 x-4))}\right)",1,"-4*Log[Log[2*(-2 + x)*x]]","A",1
3669,1,23,29,0.0294565,"\int \left(240 x^4+48 x^5-64 x^7+e^{e^x} \left(-64 x^3-16 e^x x^4\right)\right) \, dx","Integrate[240*x^4 + 48*x^5 - 64*x^7 + E^E^x*(-64*x^3 - 16*E^x*x^4),x]","-8 x^4 \left(x \left(x^3-x-6\right)+2 e^{e^x}\right)","16 x^4 \left(\frac{1}{2} \left(x^2-x^4\right)+3 x-e^{e^x}\right)",1,"-8*x^4*(2*E^E^x + x*(-6 - x + x^3))","A",1
3670,1,39,25,1.1491365,"\int \frac{3^{2/x} \left(x^4\right)^{-2/x} \left(-2 x^2+\left(-8 x+2 x^2\right) \log (x)+2 x \log (x) \log \left(\frac{x^4}{3}\right)+3^{-1/x} \left(x^4\right)^{\frac{1}{x}} \left(40 x \log (x)+(160-40 x) \log ^2(x)-40 \log ^2(x) \log \left(\frac{x^4}{3}\right)\right)\right)}{x \log ^3(x)} \, dx","Integrate[(3^(2/x)*(-2*x^2 + (-8*x + 2*x^2)*Log[x] + 2*x*Log[x]*Log[x^4/3] + ((x^4)^x^(-1)*(40*x*Log[x] + (160 - 40*x)*Log[x]^2 - 40*Log[x]^2*Log[x^4/3]))/3^x^(-1)))/(x*(x^4)^(2/x)*Log[x]^3),x]","\frac{3^{\frac{1}{x}} x \left(x^4\right)^{-2/x} \left(3^{\frac{1}{x}} x-40 \left(x^4\right)^{\frac{1}{x}} \log (x)\right)}{\log ^2(x)}","\left(20-\frac{3^{\frac{1}{x}} x \left(x^4\right)^{-1/x}}{\log (x)}\right)^2",1,"(3^x^(-1)*x*(3^x^(-1)*x - 40*(x^4)^x^(-1)*Log[x]))/((x^4)^(2/x)*Log[x]^2)","A",1
3671,1,146,34,0.3691813,"\int \frac{-36+12 x+\left(-8+12 x-4 x^2\right) \log (4)+e^{2 x} \left(3+6 x-2 x^2 \log (4)\right)+e^x \left(3-3 x+3 x^2+\left(-4 x+2 x^2-x^3\right) \log (4)\right)+\left(-36+24 x-4 x^2 \log (4)+e^x \left(12+12 x-4 x^2 \log (4)\right)\right) \log (x)}{18-12 x \log (4)+2 x^2 \log ^2(4)} \, dx","Integrate[(-36 + 12*x + (-8 + 12*x - 4*x^2)*Log[4] + E^(2*x)*(3 + 6*x - 2*x^2*Log[4]) + E^x*(3 - 3*x + 3*x^2 + (-4*x + 2*x^2 - x^3)*Log[4]) + (-36 + 24*x - 4*x^2*Log[4] + E^x*(12 + 12*x - 4*x^2*Log[4]))*Log[x])/(18 - 12*x*Log[4] + 2*x^2*Log[4]^2),x]","\frac{-e^{\frac{3}{\log (4)}} \left(4 \log ^3(4)-\log ^2(4) \log (256)-\log (64) \log (256)+\log (16) \log (4096)\right) (x \log (4)-3) \text{Ei}\left(x-\frac{3}{\log (4)}\right)+e^x x^2 \log ^4(4)+4 \left(x+e^x-3\right) x \log ^4(4) \log (x)+e^{2 x} x \log ^4(4)-e^x x \log ^3(4) \log (64)+6 e^x \log ^3(4)-e^x \log (4) \log (16) \log (64)-4 \log ^3(4) \log (16)}{2 \log ^4(4) (3-x \log (4))}","\frac{\frac{1}{2} \left(-x-e^x+3\right) x \left(e^x+4 \log (x)\right)+4}{x \log (4)-3}",1,"(6*E^x*Log[4]^3 + E^(2*x)*x*Log[4]^4 + E^x*x^2*Log[4]^4 - 4*Log[4]^3*Log[16] - E^x*x*Log[4]^3*Log[64] - E^x*Log[4]*Log[16]*Log[64] - E^(3/Log[4])*ExpIntegralEi[x - 3/Log[4]]*(-3 + x*Log[4])*(4*Log[4]^3 - Log[4]^2*Log[256] - Log[64]*Log[256] + Log[16]*Log[4096]) + 4*x*(-3 + E^x + x)*Log[4]^4*Log[x])/(2*Log[4]^4*(3 - x*Log[4]))","C",0
3672,1,19,22,0.0334219,"\int \frac{\left(-32+366 x-90 x^2+(-16+4 x) \log (-4+x)\right) \log \left(-\frac{9 x^2}{2-45 x+\log (-4+x)}\right)}{-8 x+182 x^2-45 x^3+\left(-4 x+x^2\right) \log (-4+x)} \, dx","Integrate[((-32 + 366*x - 90*x^2 + (-16 + 4*x)*Log[-4 + x])*Log[(-9*x^2)/(2 - 45*x + Log[-4 + x])])/(-8*x + 182*x^2 - 45*x^3 + (-4*x + x^2)*Log[-4 + x]),x]","\log ^2\left(-\frac{9 x^2}{-45 x+\log (x-4)+2}\right)","\log ^2\left(\frac{x}{5-\frac{\log (x-4)+2}{9 x}}\right)",1,"Log[(-9*x^2)/(2 - 45*x + Log[-4 + x])]^2","A",1
3673,1,6,12,0.0026348,"\int \frac{-1+\log (x)}{\log ^2(x)} \, dx","Integrate[(-1 + Log[x])/Log[x]^2,x]","\frac{x}{\log (x)}","\frac{x}{\log (x)}+\log (3 \log (5))",1,"x/Log[x]","A",1
3674,1,25,25,0.0555057,"\int \frac{e^{144 x^2-72 x^3+9 x^4} \left(-1-1152 x+1152 x^2-360 x^3+36 x^4\right)}{32-16 x+2 x^2+\left(16-8 x+x^2\right) \log (\log (4))} \, dx","Integrate[(E^(144*x^2 - 72*x^3 + 9*x^4)*(-1 - 1152*x + 1152*x^2 - 360*x^3 + 36*x^4))/(32 - 16*x + 2*x^2 + (16 - 8*x + x^2)*Log[Log[4]]),x]","\frac{e^{9 (x-4)^2 x^2}}{(x-4) (2+\log (\log (4)))}","\frac{e^{9 (x-4)^2 x^2}}{(x-4) (2+\log (\log (4)))}",1,"E^(9*(-4 + x)^2*x^2)/((-4 + x)*(2 + Log[Log[4]]))","A",1
3675,1,41,34,0.0240699,"\int \frac{15 x+18 x^2+105 x^3+120 x^4+36 x^5+\left(-30-27 x+3 x^3\right) \log (4)}{50 x^3+60 x^4+18 x^5} \, dx","Integrate[(15*x + 18*x^2 + 105*x^3 + 120*x^4 + 36*x^5 + (-30 - 27*x + 3*x^3)*Log[4])/(50*x^3 + 60*x^4 + 18*x^5),x]","\frac{36 x^4+60 x^3-x^2 (5+\log (64))-9 x+9 \log (4)}{6 x^2 (3 x+5)}","2 x+\frac{\left(\frac{3}{x}-x\right) (\log (4)-x)}{2 (3 x+5) x}-1",1,"(-9*x + 60*x^3 + 36*x^4 + 9*Log[4] - x^2*(5 + Log[64]))/(6*x^2*(5 + 3*x))","A",1
3676,1,22,32,0.0690195,"\int \frac{150-150 x+(-100+100 x) \log (x)+450 x \log ^2(x)+\left(-50+50 x-300 x \log ^2(x)\right) \log \left(x^2\right)+50 x \log ^2(x) \log ^2\left(x^2\right)}{\left(-9 x+9 x^2\right) \log ^2(x)+\left(6 x-6 x^2\right) \log ^2(x) \log \left(x^2\right)+\left(-x+x^2\right) \log ^2(x) \log ^2\left(x^2\right)} \, dx","Integrate[(150 - 150*x + (-100 + 100*x)*Log[x] + 450*x*Log[x]^2 + (-50 + 50*x - 300*x*Log[x]^2)*Log[x^2] + 50*x*Log[x]^2*Log[x^2]^2)/((-9*x + 9*x^2)*Log[x]^2 + (6*x - 6*x^2)*Log[x]^2*Log[x^2] + (-x + x^2)*Log[x]^2*Log[x^2]^2),x]","50 \left(\frac{1}{3 \log (x)-\log (x) \log \left(x^2\right)}+\log (x-1)\right)","10 \left(5 \left(\frac{1}{\log (x) \left(3-\log \left(x^2\right)\right)}+\log \left(\frac{1-x}{3}\right)\right)-3\right)",1,"50*(Log[-1 + x] + (3*Log[x] - Log[x]*Log[x^2])^(-1))","A",1
3677,1,24,22,0.1221889,"\int \frac{1}{3} e^{2 x+e x} \left(-10-20 x-10 e x+e^{76 x^2} (30+15 e+2280 x)\right) \, dx","Integrate[(E^(2*x + E*x)*(-10 - 20*x - 10*E*x + E^(76*x^2)*(30 + 15*E + 2280*x)))/3,x]","\frac{5}{3} e^{(2+e) x} \left(3 e^{76 x^2}-2 x\right)","5 e^{(2+e) x} \left(e^{76 x^2}-\frac{2 x}{3}\right)",1,"(5*E^((2 + E)*x)*(3*E^(76*x^2) - 2*x))/3","A",1
3678,1,36,27,2.9268299,"\int \frac{e^{20-4 e^x} \left(-144 x^2-576 x^3-864 x^4-576 x^5-144 x^6\right)+e^{10-2 e^x} \left(12 x+36 x^2+24 x^3+e^x \left(-12 x^2-24 x^3-12 x^4\right)\right)}{1+e^{10-2 e^x} \left(-48 x-96 x^2-48 x^3\right)+e^{20-4 e^x} \left(576 x^2+2304 x^3+3456 x^4+2304 x^5+576 x^6\right)} \, dx","Integrate[(E^(20 - 4*E^x)*(-144*x^2 - 576*x^3 - 864*x^4 - 576*x^5 - 144*x^6) + E^(10 - 2*E^x)*(12*x + 36*x^2 + 24*x^3 + E^x*(-12*x^2 - 24*x^3 - 12*x^4)))/(1 + E^(10 - 2*E^x)*(-48*x - 96*x^2 - 48*x^3) + E^(20 - 4*E^x)*(576*x^2 + 2304*x^3 + 3456*x^4 + 2304*x^5 + 576*x^6)),x]","-\frac{12 e^{10} x^2 (x+1)^2}{48 e^{10} x (x+1)^2-2 e^{2 e^x}}","\frac{x}{\frac{e^{2 e^x-10}}{6 x (x+1)^2}-4}",1,"(-12*E^10*x^2*(1 + x)^2)/(-2*E^(2*E^x) + 48*E^10*x*(1 + x)^2)","A",1
3679,1,36,33,0.1045993,"\int \frac{e^{-e^x} \left(18 x-6 x^2+e^x \left(-18 x^2+3 x^3\right)+e^{e^x} \left(-6+x+e^4 \left(18 x-6 x^2\right)+x \log (x)\right)\right)}{3 x} \, dx","Integrate[(18*x - 6*x^2 + E^x*(-18*x^2 + 3*x^3) + E^E^x*(-6 + x + E^4*(18*x - 6*x^2) + x*Log[x]))/(3*E^E^x*x),x]","-\frac{1}{3} e^{-e^x} (x-6) \left(3 \left(e^{e^x+4}+1\right) x-e^{e^x} \log (x)\right)","\left(\frac{x}{3}-2\right) \left(\log (x)-\left(3 e^{-e^x}+3 e^4\right) x\right)-e",1,"-1/3*((-6 + x)*(3*(1 + E^(4 + E^x))*x - E^E^x*Log[x]))/E^E^x","A",1
3680,1,23,26,0.0683153,"\int \frac{\sqrt{2} \left(1-e^{2 x}-2 x\right) \left(\frac{1}{\log \left(e^{-2 x} \left(2 x-2 e^{2 x} x\right)\right)}\right)^{5/4}}{-4 x+4 e^{2 x} x} \, dx","Integrate[(Sqrt[2]*(1 - E^(2*x) - 2*x)*(Log[(2*x - 2*E^(2*x)*x)/E^(2*x)]^(-1))^(5/4))/(-4*x + 4*E^(2*x)*x),x]","\sqrt{2} \sqrt[4]{\frac{1}{\log \left(2 \left(e^{-2 x}-1\right) x\right)}}","\sqrt{2} \sqrt[4]{\frac{1}{\log \left(2 \left(e^{-2 x} x-x\right)\right)}}",1,"Sqrt[2]*(Log[2*(-1 + E^(-2*x))*x]^(-1))^(1/4)","A",1
3681,1,50,31,1.1463455,"\int \frac{2+\exp \left(1+e^{e^3} \left(-1+6 e^x-9 e^{2 x}\right)+x-6 e^x x+9 e^{2 x} x\right) \left(3 x^2+e^{e^3} \left(18 e^x x^2-54 e^{2 x} x^2\right)+e^x \left(-18 x^2-18 x^3\right)+e^{2 x} \left(27 x^2+54 x^3\right)\right)}{3 x^2} \, dx","Integrate[(2 + E^(1 + E^E^3*(-1 + 6*E^x - 9*E^(2*x)) + x - 6*E^x*x + 9*E^(2*x)*x)*(3*x^2 + E^E^3*(18*E^x*x^2 - 54*E^(2*x)*x^2) + E^x*(-18*x^2 - 18*x^3) + E^(2*x)*(27*x^2 + 54*x^3)))/(3*x^2),x]","\exp \left(6 e^x \left(e^{e^3}-x\right)-9 e^{2 x} \left(e^{e^3}-x\right)+x-e^{e^3}+1\right)-\frac{2}{3 x}","e^{\left(x-e^{e^3}\right) \left(3 e^x-1\right)^2+1}-\frac{2}{3 x}",1,"E^(1 - E^E^3 + 6*E^x*(E^E^3 - x) - 9*E^(2*x)*(E^E^3 - x) + x) - 2/(3*x)","A",1
3682,1,2,4,0.0001473,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log (5 x)",1,"Log[x]","A",1
3683,1,24,23,0.1525656,"\int \frac{-4 x-4 e^x x^2-8 x^3+\left(4+4 e^x x+8 x^2\right) \log (x)+\left(e^x (2-2 x)+2 x^2-2 x^3+(2-2 x) \log (x)\right) \log \left(e^x+x^2+\log (x)\right) \log \left(\log \left(e^x+x^2+\log (x)\right)\right)}{\left(-e^x x^2-x^4+\left(e^x x-x^2+x^3\right) \log (x)+x \log ^2(x)\right) \log \left(e^x+x^2+\log (x)\right) \log \left(\log \left(e^x+x^2+\log (x)\right)\right)} \, dx","Integrate[(-4*x - 4*E^x*x^2 - 8*x^3 + (4 + 4*E^x*x + 8*x^2)*Log[x] + (E^x*(2 - 2*x) + 2*x^2 - 2*x^3 + (2 - 2*x)*Log[x])*Log[E^x + x^2 + Log[x]]*Log[Log[E^x + x^2 + Log[x]]])/((-(E^x*x^2) - x^4 + (E^x*x - x^2 + x^3)*Log[x] + x*Log[x]^2)*Log[E^x + x^2 + Log[x]]*Log[Log[E^x + x^2 + Log[x]]]),x]","4 \log \left(\log \left(\log \left(x^2+e^x+\log (x)\right)\right)\right)+2 \log (x-\log (x))","\log \left((\log (x)-x)^2 \log ^4\left(\log \left(x^2+e^x+\log (x)\right)\right)\right)",1,"2*Log[x - Log[x]] + 4*Log[Log[Log[E^x + x^2 + Log[x]]]]","A",1
3684,1,24,23,0.2039769,"\int \frac{e^x (10+e+2 x)+\left(40+5 e+e^x (-8-e-2 x)+10 x\right) \log \left(5-e^x\right) \log \left(\log \left(5-e^x\right)\right)}{\left(-10 e^x+2 e^{2 x}\right) \log \left(5-e^x\right)} \, dx","Integrate[(E^x*(10 + E + 2*x) + (40 + 5*E + E^x*(-8 - E - 2*x) + 10*x)*Log[5 - E^x]*Log[Log[5 - E^x]])/((-10*E^x + 2*E^(2*x))*Log[5 - E^x]),x]","\frac{1}{2} e^{-x} (2 x+e+10) \log \left(\log \left(5-e^x\right)\right)","e^{-x} \left(x+\frac{e}{2}+5\right) \log \left(\log \left(5-e^x\right)\right)",1,"((10 + E + 2*x)*Log[Log[5 - E^x]])/(2*E^x)","A",1
3685,1,32,31,0.1477753,"\int \frac{e^{-x} \left(2 x-6 x^2+5 x^3+e^x \left(1-11 x+20 x^2+25 x^3\right)\right)}{1-10 x+25 x^2} \, dx","Integrate[(2*x - 6*x^2 + 5*x^3 + E^x*(1 - 11*x + 20*x^2 + 25*x^3))/(E^x*(1 - 10*x + 25*x^2)),x]","-\frac{125 x^3+\left(275-50 e^{-x}\right) x^2-60 x+2}{50-250 x}","\left(\frac{e^{-x}-1}{\frac{1}{x}-5}+\frac{x}{2}\right) x+x-e^5+5",1,"-((2 - 60*x + (275 - 50/E^x)*x^2 + 125*x^3)/(50 - 250*x))","A",1
3686,1,36,26,0.1397106,"\int \frac{-6 x^4-2 e^{10} x^4+e^{12+4 x} (-4+4 x)+e^{6+2 x} \left(-14 x^2+12 x^3+e^{10} \left(-4 x^2+4 x^3\right)\right)+\left(2 x^4+e^{6+2 x} \left(4 x^2-4 x^3\right)\right) \log (x)}{e^8 x^5} \, dx","Integrate[(-6*x^4 - 2*E^10*x^4 + E^(12 + 4*x)*(-4 + 4*x) + E^(6 + 2*x)*(-14*x^2 + 12*x^3 + E^10*(-4*x^2 + 4*x^3)) + (2*x^4 + E^(6 + 2*x)*(4*x^2 - 4*x^3))*Log[x])/(E^8*x^5),x]","\frac{\left(e^{10} x^2+3 x^2+x^2 (-\log (x))+e^{2 x+6}\right)^2}{e^8 x^4}","\frac{\left(\frac{e^{2 x+6}}{x^2}-\log (x)+e^{10}+3\right)^2}{e^8}",1,"(E^(6 + 2*x) + 3*x^2 + E^10*x^2 - x^2*Log[x])^2/(E^8*x^4)","A",1
3687,1,30,31,0.2834402,"\int \frac{-2 x^2-e^x x^2+e^{\frac{-3-2 x+3 e^4 x+e^x x^2}{x}} \left(-3+e^x \left(-x^2-x^3\right)\right)}{x^2} \, dx","Integrate[(-2*x^2 - E^x*x^2 + E^((-3 - 2*x + 3*E^4*x + E^x*x^2)/x)*(-3 + E^x*(-x^2 - x^3)))/x^2,x]","-2 x-e^x-e^{e^x x-\frac{3}{x}+3 e^4-2}","-2 x-e^x-e^{e^x x-\frac{3}{x}+3 e^4-2}+1",1,"-E^x - E^(-2 + 3*E^4 - 3/x + E^x*x) - 2*x","A",1
3688,1,52,24,0.5817294,"\int \frac{(16-x)^{\frac{1}{2-4 x-8 x^2+2 \log (5)}} \left(1-2 x-4 x^2+\log (5)+\left(-32-126 x+8 x^2\right) \log (16-x)\right)}{-32+130 x+120 x^2-520 x^3-480 x^4+32 x^5+\left(-64+132 x+248 x^2-16 x^3\right) \log (5)+(-32+2 x) \log ^2(5)} \, dx","Integrate[((16 - x)^(2 - 4*x - 8*x^2 + 2*Log[5])^(-1)*(1 - 2*x - 4*x^2 + Log[5] + (-32 - 126*x + 8*x^2)*Log[16 - x]))/(-32 + 130*x + 120*x^2 - 520*x^3 - 480*x^4 + 32*x^5 + (-64 + 132*x + 248*x^2 - 16*x^3)*Log[5] + (-32 + 2*x)*Log[5]^2),x]","\frac{(16-x)^{\frac{1}{-8 x^2-4 x+2+\log (25)}} \left(-8 x^2-4 x+2+\log (25)\right)^2}{4 \left(-4 x^2-2 x+1+\log (5)\right)^2}","(16-x)^{\frac{1}{2 \left(-4 x^2-2 x+1+\log (5)\right)}}",1,"((16 - x)^(2 - 4*x - 8*x^2 + Log[25])^(-1)*(2 - 4*x - 8*x^2 + Log[25])^2)/(4*(1 - 2*x - 4*x^2 + Log[5])^2)","B",1
3689,1,19,19,0.011032,"\int \frac{e^{3+\log ^2(x)} \left(-2 \log (5)+2 \log (5) \log \left(-\frac{5}{2 x^2}\right) \log (x)\right)}{x} \, dx","Integrate[(E^(3 + Log[x]^2)*(-2*Log[5] + 2*Log[5]*Log[-5/(2*x^2)]*Log[x]))/x,x]","\log (5) e^{\log ^2(x)+3} \log \left(-\frac{5}{2 x^2}\right)","\log (5) e^{\log ^2(x)+3} \log \left(-\frac{5}{2 x^2}\right)",1,"E^(3 + Log[x]^2)*Log[5]*Log[-5/(2*x^2)]","A",1
3690,1,34,19,0.4171642,"\int \frac{\exp \left(\frac{1-2 x^3+2 x^3 \log (16)}{-2 x^2+2 x^2 \log (16)}\right) \left(-1-x^2-x^3+\left(x^2+x^3\right) \log (16)\right)}{-x^2+x^2 \log (16)} \, dx","Integrate[(E^((1 - 2*x^3 + 2*x^3*Log[16])/(-2*x^2 + 2*x^2*Log[16]))*(-1 - x^2 - x^3 + (x^2 + x^3)*Log[16]))/(-x^2 + x^2*Log[16]),x]","x 16^{\frac{x}{\log (16)-1}} e^{\frac{1-2 x^3}{2 x^2 (\log (16)-1)}}","x e^{\frac{1}{2 x^2 (\log (16)-1)}+x}",1,"16^(x/(-1 + Log[16]))*E^((1 - 2*x^3)/(2*x^2*(-1 + Log[16])))*x","A",1
3691,1,33,33,0.7224208,"\int \frac{e^{\frac{x}{\log \left(-e^2+e^{\frac{7}{(5+x) \log (x)}}-x\right)}} \left(\left(25 x^2+10 x^3+x^4\right) \log ^2(x)+e^{\frac{7}{(5+x) \log (x)}} \left(35 x+7 x^2+7 x^2 \log (x)\right)+\log ^2\left(-e^2+e^{\frac{7}{(5+x) \log (x)}}-x\right) \left(e^{\frac{7}{(5+x) \log (x)}} \left(-25-10 x-x^2\right) \log ^2(x)+\left(25 x+10 x^2+x^3+e^2 \left(25+10 x+x^2\right)\right) \log ^2(x)\right)+\log \left(-e^2+e^{\frac{7}{(5+x) \log (x)}}-x\right) \left(e^{\frac{7}{(5+x) \log (x)}} \left(25 x+10 x^2+x^3\right) \log ^2(x)+\left(-25 x^2-10 x^3-x^4+e^2 \left(-25 x-10 x^2-x^3\right)\right) \log ^2(x)\right)\right)}{\log ^2\left(-e^2+e^{\frac{7}{(5+x) \log (x)}}-x\right) \left(e^{\frac{7}{(5+x) \log (x)}} \left(25 x^2+10 x^3+x^4\right) \log ^2(x)+\left(-25 x^3-10 x^4-x^5+e^2 \left(-25 x^2-10 x^3-x^4\right)\right) \log ^2(x)\right)} \, dx","Integrate[(E^(x/Log[-E^2 + E^(7/((5 + x)*Log[x])) - x])*((25*x^2 + 10*x^3 + x^4)*Log[x]^2 + E^(7/((5 + x)*Log[x]))*(35*x + 7*x^2 + 7*x^2*Log[x]) + Log[-E^2 + E^(7/((5 + x)*Log[x])) - x]^2*(E^(7/((5 + x)*Log[x]))*(-25 - 10*x - x^2)*Log[x]^2 + (25*x + 10*x^2 + x^3 + E^2*(25 + 10*x + x^2))*Log[x]^2) + Log[-E^2 + E^(7/((5 + x)*Log[x])) - x]*(E^(7/((5 + x)*Log[x]))*(25*x + 10*x^2 + x^3)*Log[x]^2 + (-25*x^2 - 10*x^3 - x^4 + E^2*(-25*x - 10*x^2 - x^3))*Log[x]^2)))/(Log[-E^2 + E^(7/((5 + x)*Log[x])) - x]^2*(E^(7/((5 + x)*Log[x]))*(25*x^2 + 10*x^3 + x^4)*Log[x]^2 + (-25*x^3 - 10*x^4 - x^5 + E^2*(-25*x^2 - 10*x^3 - x^4))*Log[x]^2)),x]","\frac{e^{\frac{x}{\log \left(-x+e^{\frac{7}{(x+5) \log (x)}}-e^2\right)}}}{x}","\frac{e^{\frac{x}{\log \left(-x+e^{\frac{7}{(x+5) \log (x)}}-e^2\right)}}}{x}",1,"E^(x/Log[-E^2 + E^(7/((5 + x)*Log[x])) - x])/x","A",1
3692,1,24,26,0.4898383,"\int \frac{32-48 x-8 x^2+e^5 \left(8-12 x-2 x^2\right)+\left(16+e^5 (4-x)-4 x\right) \log (x)+\left(-8 x^2-2 e^5 x^2\right) \log \left(x^2\right)}{576+432 x+108 x^2+9 x^3+\left(384+288 x+72 x^2+6 x^3\right) \log (x)+\left(64+48 x+12 x^2+x^3\right) \log ^2(x)+\left(384 x+288 x^2+72 x^3+6 x^4+\left(128 x+96 x^2+24 x^3+2 x^4\right) \log (x)\right) \log \left(x^2\right)+\left(64 x^2+48 x^3+12 x^4+x^5\right) \log ^2\left(x^2\right)} \, dx","Integrate[(32 - 48*x - 8*x^2 + E^5*(8 - 12*x - 2*x^2) + (16 + E^5*(4 - x) - 4*x)*Log[x] + (-8*x^2 - 2*E^5*x^2)*Log[x^2])/(576 + 432*x + 108*x^2 + 9*x^3 + (384 + 288*x + 72*x^2 + 6*x^3)*Log[x] + (64 + 48*x + 12*x^2 + x^3)*Log[x]^2 + (384*x + 288*x^2 + 72*x^3 + 6*x^4 + (128*x + 96*x^2 + 24*x^3 + 2*x^4)*Log[x])*Log[x^2] + (64*x^2 + 48*x^3 + 12*x^4 + x^5)*Log[x^2]^2),x]","\frac{\left(4+e^5\right) x}{(x+4)^2 \left(x \log \left(x^2\right)+\log (x)+3\right)}","\frac{\left(4+e^5\right) x}{(-x-4)^2 \left(x \log \left(x^2\right)+\log (x)+3\right)}",1,"((4 + E^5)*x)/((4 + x)^2*(3 + Log[x] + x*Log[x^2]))","A",1
3693,1,27,25,0.3046997,"\int \frac{2 x^3+e^x \left(-36+15 x-x^2+e x^2\right)+e^x \left(36-36 x+14 x^2-x^3\right) \log (x)}{x^2} \, dx","Integrate[(2*x^3 + E^x*(-36 + 15*x - x^2 + E*x^2) + E^x*(36 - 36*x + 14*x^2 - x^3)*Log[x])/x^2,x]","x^2-\frac{e^x \left(x^2-15 x+36\right) \log (x)}{x}+e^{x+1}","x^2-e^x \left(\frac{(x-12) (x-3) \log (x)}{x}-e\right)",1,"E^(1 + x) + x^2 - (E^x*(36 - 15*x + x^2)*Log[x])/x","A",1
3694,1,15,19,0.4422469,"\int \frac{3 x+\log (2)+(-x-\log (2)) \log \left(x^3+2 x^2 \log (2)+x \log ^2(2)\right)}{\left(x^2+x \log (2)\right) \log \left(x^3+2 x^2 \log (2)+x \log ^2(2)\right)} \, dx","Integrate[(3*x + Log[2] + (-x - Log[2])*Log[x^3 + 2*x^2*Log[2] + x*Log[2]^2])/((x^2 + x*Log[2])*Log[x^3 + 2*x^2*Log[2] + x*Log[2]^2]),x]","\log \left(\log \left(x (x+\log (2))^2\right)\right)-\log (x)","\log \left(\frac{3 \log \left(x (-x-\log (2))^2\right)}{x}\right)",1,"-Log[x] + Log[Log[x*(x + Log[2])^2]]","A",1
3695,1,22,22,0.6688717,"\int \frac{-x^5-3 x^6+e^x \left(-5 x^4+4 x^5\right)-8 x^4 \log (x)+5 x^4 \log ^2(x)}{-e^{5 x}-x^5+5 x^6-10 x^7+10 x^8-5 x^9+x^{10}+e^{4 x} \left(-5 x+5 x^2\right)+e^{3 x} \left(-10 x^2+20 x^3-10 x^4\right)+e^{2 x} \left(-10 x^3+30 x^4-30 x^5+10 x^6\right)+e^x \left(-5 x^4+20 x^5-30 x^6+20 x^7-5 x^8\right)+\left(5 e^{4 x}+5 x^4-20 x^5+30 x^6-20 x^7+5 x^8+e^{3 x} \left(20 x-20 x^2\right)+e^{2 x} \left(30 x^2-60 x^3+30 x^4\right)+e^x \left(20 x^3-60 x^4+60 x^5-20 x^6\right)\right) \log ^2(x)+\left(-10 e^{3 x}-10 x^3+30 x^4-30 x^5+10 x^6+e^{2 x} \left(-30 x+30 x^2\right)+e^x \left(-30 x^2+60 x^3-30 x^4\right)\right) \log ^4(x)+\left(10 e^{2 x}+10 x^2-20 x^3+10 x^4+e^x \left(20 x-20 x^2\right)\right) \log ^6(x)+\left(-5 e^x-5 x+5 x^2\right) \log ^8(x)+\log ^{10}(x)} \, dx","Integrate[(-x^5 - 3*x^6 + E^x*(-5*x^4 + 4*x^5) - 8*x^4*Log[x] + 5*x^4*Log[x]^2)/(-E^(5*x) - x^5 + 5*x^6 - 10*x^7 + 10*x^8 - 5*x^9 + x^10 + E^(4*x)*(-5*x + 5*x^2) + E^(3*x)*(-10*x^2 + 20*x^3 - 10*x^4) + E^(2*x)*(-10*x^3 + 30*x^4 - 30*x^5 + 10*x^6) + E^x*(-5*x^4 + 20*x^5 - 30*x^6 + 20*x^7 - 5*x^8) + (5*E^(4*x) + 5*x^4 - 20*x^5 + 30*x^6 - 20*x^7 + 5*x^8 + E^(3*x)*(20*x - 20*x^2) + E^(2*x)*(30*x^2 - 60*x^3 + 30*x^4) + E^x*(20*x^3 - 60*x^4 + 60*x^5 - 20*x^6))*Log[x]^2 + (-10*E^(3*x) - 10*x^3 + 30*x^4 - 30*x^5 + 10*x^6 + E^(2*x)*(-30*x + 30*x^2) + E^x*(-30*x^2 + 60*x^3 - 30*x^4))*Log[x]^4 + (10*E^(2*x) + 10*x^2 - 20*x^3 + 10*x^4 + E^x*(20*x - 20*x^2))*Log[x]^6 + (-5*E^x - 5*x + 5*x^2)*Log[x]^8 + Log[x]^10),x]","\frac{x^5}{\left(x^2-x-e^x+\log ^2(x)\right)^4}","\frac{x^5}{\left(-x^2+x+e^x-\log ^2(x)\right)^4}",1,"x^5/(-E^x - x + x^2 + Log[x]^2)^4","A",1
3696,1,12,13,0.1799615,"\int x^{-1+e^x} \left(8 x+8 x^2+e^x \left(4+8 x+4 x^2\right)+e^x \left(4 x+8 x^2+4 x^3\right) \log (x)\right) \, dx","Integrate[x^(-1 + E^x)*(8*x + 8*x^2 + E^x*(4 + 8*x + 4*x^2) + E^x*(4*x + 8*x^2 + 4*x^3)*Log[x]),x]","4 x^{e^x} (x+1)^2","x^{e^x} (2 x+2)^2",1,"4*x^E^x*(1 + x)^2","A",1
3697,0,0,33,0.4604512,"\int \frac{\left(-32 x^2+16 x^3+e^2 \left(8 x-6 x^2\right)+\left(-16 x^2+4 x^3+e^2 \left(8 x-2 x^2\right)\right) \log \left(32 x^2-16 x^3+2 x^4+e^2 \left(-16 x+8 x^2-x^3\right)\right)\right) \log \left(\frac{5}{x \log \left(32 x^2-16 x^3+2 x^4+e^2 \left(-16 x+8 x^2-x^3\right)\right)}\right)+\left(16 x^2-4 x^3+e^2 \left(-8 x+2 x^2\right)\right) \log \left(32 x^2-16 x^3+2 x^4+e^2 \left(-16 x+8 x^2-x^3\right)\right) \log ^2\left(\frac{5}{x \log \left(32 x^2-16 x^3+2 x^4+e^2 \left(-16 x+8 x^2-x^3\right)\right)}\right)}{\left(e^2 (-4+x)+8 x-2 x^2\right) \log \left(32 x^2-16 x^3+2 x^4+e^2 \left(-16 x+8 x^2-x^3\right)\right)} \, dx","Integrate[((-32*x^2 + 16*x^3 + E^2*(8*x - 6*x^2) + (-16*x^2 + 4*x^3 + E^2*(8*x - 2*x^2))*Log[32*x^2 - 16*x^3 + 2*x^4 + E^2*(-16*x + 8*x^2 - x^3)])*Log[5/(x*Log[32*x^2 - 16*x^3 + 2*x^4 + E^2*(-16*x + 8*x^2 - x^3)])] + (16*x^2 - 4*x^3 + E^2*(-8*x + 2*x^2))*Log[32*x^2 - 16*x^3 + 2*x^4 + E^2*(-16*x + 8*x^2 - x^3)]*Log[5/(x*Log[32*x^2 - 16*x^3 + 2*x^4 + E^2*(-16*x + 8*x^2 - x^3)])]^2)/((E^2*(-4 + x) + 8*x - 2*x^2)*Log[32*x^2 - 16*x^3 + 2*x^4 + E^2*(-16*x + 8*x^2 - x^3)]),x]","\int \frac{\left(-32 x^2+16 x^3+e^2 \left(8 x-6 x^2\right)+\left(-16 x^2+4 x^3+e^2 \left(8 x-2 x^2\right)\right) \log \left(32 x^2-16 x^3+2 x^4+e^2 \left(-16 x+8 x^2-x^3\right)\right)\right) \log \left(\frac{5}{x \log \left(32 x^2-16 x^3+2 x^4+e^2 \left(-16 x+8 x^2-x^3\right)\right)}\right)+\left(16 x^2-4 x^3+e^2 \left(-8 x+2 x^2\right)\right) \log \left(32 x^2-16 x^3+2 x^4+e^2 \left(-16 x+8 x^2-x^3\right)\right) \log ^2\left(\frac{5}{x \log \left(32 x^2-16 x^3+2 x^4+e^2 \left(-16 x+8 x^2-x^3\right)\right)}\right)}{\left(e^2 (-4+x)+8 x-2 x^2\right) \log \left(32 x^2-16 x^3+2 x^4+e^2 \left(-16 x+8 x^2-x^3\right)\right)} \, dx","x^2 \log ^2\left(\frac{5}{x \log \left((4-x)^2 x \left(2 x-e^2\right)\right)}\right)",1,"Integrate[((-32*x^2 + 16*x^3 + E^2*(8*x - 6*x^2) + (-16*x^2 + 4*x^3 + E^2*(8*x - 2*x^2))*Log[32*x^2 - 16*x^3 + 2*x^4 + E^2*(-16*x + 8*x^2 - x^3)])*Log[5/(x*Log[32*x^2 - 16*x^3 + 2*x^4 + E^2*(-16*x + 8*x^2 - x^3)])] + (16*x^2 - 4*x^3 + E^2*(-8*x + 2*x^2))*Log[32*x^2 - 16*x^3 + 2*x^4 + E^2*(-16*x + 8*x^2 - x^3)]*Log[5/(x*Log[32*x^2 - 16*x^3 + 2*x^4 + E^2*(-16*x + 8*x^2 - x^3)])]^2)/((E^2*(-4 + x) + 8*x - 2*x^2)*Log[32*x^2 - 16*x^3 + 2*x^4 + E^2*(-16*x + 8*x^2 - x^3)]), x]","F",-1
3698,1,22,24,0.0424815,"\int \frac{-1+\left(-1-x+e^{2 x} \left(-5 x-10 x^2\right)\right) \log (x) \log (\log (x))}{x \log (x) \log (\log (x))} \, dx","Integrate[(-1 + (-1 - x + E^(2*x)*(-5*x - 10*x^2))*Log[x]*Log[Log[x]])/(x*Log[x]*Log[Log[x]]),x]","-5 e^{2 x} x-x-\log (x)-\log (\log (\log (x)))","-5 e^{2 x} x-x-\log (x \log (\log (x)))+e^6-1",1,"-x - 5*E^(2*x)*x - Log[x] - Log[Log[Log[x]]]","A",1
3699,1,21,22,0.00386,"\int \frac{-1+25 x^2+6 x^3+16 x^2 \log (x)}{3 x^2} \, dx","Integrate[(-1 + 25*x^2 + 6*x^3 + 16*x^2*Log[x])/(3*x^2),x]","x^2+3 x+\frac{1}{3 x}+\frac{16}{3} x \log (x)","-x+\frac{1}{3 x}+x \left(x+\frac{16 \log (x)}{3}+4\right)",1,"1/(3*x) + 3*x + x^2 + (16*x*Log[x])/3","A",1
3700,1,30,31,0.0546155,"\int \frac{2-8 e^4 x+2 e^9 x+e^{4+x} \left(-6 x+6 x^2+2 x^3\right)-4 \log (x)}{e^4 x^3} \, dx","Integrate[(2 - 8*E^4*x + 2*E^9*x + E^(4 + x)*(-6*x + 6*x^2 + 2*x^3) - 4*Log[x])/(E^4*x^3),x]","\frac{2 \left(\log (x)-e^4 x \left(-e^x (x+3)+e^5-4\right)\right)}{e^4 x^2}","\frac{2 \left(e^x (x+3)+\frac{x+\frac{\log (x)}{x}}{e^4}-e^5+4\right)}{x}",1,"(2*(-(E^4*x*(-4 + E^5 - E^x*(3 + x))) + Log[x]))/(E^4*x^2)","A",1
3701,1,17,20,0.0413094,"\int e^{2 x} \left(243 x^2+594 x^3+396 x^4+72 x^5\right) \, dx","Integrate[E^(2*x)*(243*x^2 + 594*x^3 + 396*x^4 + 72*x^5),x]","9 e^{2 x} x^3 (2 x+3)^2","9 e^{2 x} x^3 \left(\log \left(e^{2 x}\right)+3\right)^2",1,"9*E^(2*x)*x^3*(3 + 2*x)^2","A",1
3702,1,29,29,0.1454835,"\int \frac{30-20 e^4+e^{2 x} \left(10-40 e^4\right)+10 x+e^{3 x} \left(10-40 e^4-x^3\right)+e^x \left(30-20 e^4+10 x-3 x^3-x^4\right)+\left(6 e^{4+3 x} x^2+e^{4+x} \left(18 x^2+6 x^3\right)\right) \log \left(3+e^{2 x}+x\right)+\left(-12 e^{8+3 x} x+e^{8+x} \left(-36 x-12 x^2\right)\right) \log ^2\left(3+e^{2 x}+x\right)+\left(8 e^{12+3 x}+e^{12+x} (24+8 x)\right) \log ^3\left(3+e^{2 x}+x\right)}{-3 x^3-e^{2 x} x^3-e^{3 x} x^3-x^4+e^x \left(-3 x^3-x^4\right)+\left(6 e^{4+2 x} x^2+6 e^{4+3 x} x^2+e^4 \left(18 x^2+6 x^3\right)+e^{4+x} \left(18 x^2+6 x^3\right)\right) \log \left(3+e^{2 x}+x\right)+\left(-12 e^{8+2 x} x-12 e^{8+3 x} x+e^8 \left(-36 x-12 x^2\right)+e^{8+x} \left(-36 x-12 x^2\right)\right) \log ^2\left(3+e^{2 x}+x\right)+\left(8 e^{12+2 x}+8 e^{12+3 x}+e^{12} (24+8 x)+e^{12+x} (24+8 x)\right) \log ^3\left(3+e^{2 x}+x\right)} \, dx","Integrate[(30 - 20*E^4 + E^(2*x)*(10 - 40*E^4) + 10*x + E^(3*x)*(10 - 40*E^4 - x^3) + E^x*(30 - 20*E^4 + 10*x - 3*x^3 - x^4) + (6*E^(4 + 3*x)*x^2 + E^(4 + x)*(18*x^2 + 6*x^3))*Log[3 + E^(2*x) + x] + (-12*E^(8 + 3*x)*x + E^(8 + x)*(-36*x - 12*x^2))*Log[3 + E^(2*x) + x]^2 + (8*E^(12 + 3*x) + E^(12 + x)*(24 + 8*x))*Log[3 + E^(2*x) + x]^3)/(-3*x^3 - E^(2*x)*x^3 - E^(3*x)*x^3 - x^4 + E^x*(-3*x^3 - x^4) + (6*E^(4 + 2*x)*x^2 + 6*E^(4 + 3*x)*x^2 + E^4*(18*x^2 + 6*x^3) + E^(4 + x)*(18*x^2 + 6*x^3))*Log[3 + E^(2*x) + x] + (-12*E^(8 + 2*x)*x - 12*E^(8 + 3*x)*x + E^8*(-36*x - 12*x^2) + E^(8 + x)*(-36*x - 12*x^2))*Log[3 + E^(2*x) + x]^2 + (8*E^(12 + 2*x) + 8*E^(12 + 3*x) + E^12*(24 + 8*x) + E^(12 + x)*(24 + 8*x))*Log[3 + E^(2*x) + x]^3),x]","\log \left(e^x+1\right)+\frac{5}{\left(2 e^4 \log \left(x+e^{2 x}+3\right)-x\right)^2}","\log \left(e^x+1\right)+\frac{5}{\left(2 e^4 \log \left(x+e^{2 x}+3\right)-x\right)^2}",1,"Log[1 + E^x] + 5/(-x + 2*E^4*Log[3 + E^(2*x) + x])^2","A",1
3703,1,17,19,0.0168898,"\int \frac{-2+\log \left(x^2\right)+16 x \log ^2\left(x^2\right)}{2 \log ^2\left(x^2\right)} \, dx","Integrate[(-2 + Log[x^2] + 16*x*Log[x^2]^2)/(2*Log[x^2]^2),x]","4 x^2+\frac{x}{2 \log \left(x^2\right)}","x^2 \left(\frac{1}{2 x \log \left(x^2\right)}+4\right)",1,"4*x^2 + x/(2*Log[x^2])","A",1
3704,1,18,19,0.1355582,"\int \frac{-1+2 x+e^{-5+e^{-5+3 x}+3 x} \left(-3 x+3 x^2\right)}{-x+x^2} \, dx","Integrate[(-1 + 2*x + E^(-5 + E^(-5 + 3*x) + 3*x)*(-3*x + 3*x^2))/(-x + x^2),x]","e^{e^{3 x-5}}+\log (1-x)+\log (x)","e^{e^{3 x-5}}+\log \left(\frac{1}{3} (x-1) x\right)",1,"E^E^(-5 + 3*x) + Log[1 - x] + Log[x]","A",1
3705,1,14,14,0.0012793,"\int (-60+50 x-25 \log (x)) \, dx","Integrate[-60 + 50*x - 25*Log[x],x]","25 x^2-35 x-25 x \log (x)","5 x (5 (x-\log (x)-2)+3)",1,"-35*x + 25*x^2 - 25*x*Log[x]","A",1
3706,1,19,23,0.3309322,"\int \frac{1+2 x+x^2+x^{\frac{-x-2 x^2}{1+x}} \left(-1-x+2 x^2+2 x^3+\left(x+4 x^2+2 x^3\right) \log (x)\right)}{1+2 x+x^2} \, dx","Integrate[(1 + 2*x + x^2 + x^((-x - 2*x^2)/(1 + x))*(-1 - x + 2*x^2 + 2*x^3 + (x + 4*x^2 + 2*x^3)*Log[x]))/(1 + 2*x + x^2),x]","x-x^{\frac{1-2 x^2}{x+1}}","-x^{\frac{x^2}{-x-1}-x+1}+x-5",1,"x - x^((1 - 2*x^2)/(1 + x))","A",1
3707,1,20,23,0.0396218,"\int \frac{40-180 x^2+360 x^2 \log (x)}{\left(-2 x+9 x^3\right) \log (4) \log (x)} \, dx","Integrate[(40 - 180*x^2 + 360*x^2*Log[x])/((-2*x + 9*x^3)*Log[4]*Log[x]),x]","\frac{20 \left(\log \left(2-9 x^2\right)-\log (\log (x))\right)}{\log (4)}","4 \left(\frac{5 \log \left(\frac{9 x^2-2}{\log (x)}\right)}{\log (4)}-8\right)",1,"(20*(Log[2 - 9*x^2] - Log[Log[x]]))/Log[4]","A",1
3708,1,32,19,0.0041781,"\int -\frac{9 e^5}{3 e^5 x+2 x^2} \, dx","Integrate[(-9*E^5)/(3*E^5*x + 2*x^2),x]","-9 e^5 \left(\frac{\log (x)}{3 e^5}-\frac{\log \left(2 x+3 e^5\right)}{3 e^5}\right)","3 \log \left(\frac{5}{4} \left(-\frac{3 e^5}{2 x}-1\right)\right)",1,"-9*E^5*(Log[x]/(3*E^5) - Log[3*E^5 + 2*x]/(3*E^5))","A",1
3709,1,20,20,1.966086,"\int \frac{e^{\frac{2 x}{-60+5 e^x+5 x+5 x^2+5 \log (x)}} \left(-26+e^x (2-2 x)-2 x^2+2 \log (x)\right)}{720+5 e^{2 x}-120 x-115 x^2+10 x^3+5 x^4+e^x \left(-120+10 x+10 x^2\right)+\left(-120+10 e^x+10 x+10 x^2\right) \log (x)+5 \log ^2(x)} \, dx","Integrate[(E^((2*x)/(-60 + 5*E^x + 5*x + 5*x^2 + 5*Log[x]))*(-26 + E^x*(2 - 2*x) - 2*x^2 + 2*Log[x]))/(720 + 5*E^(2*x) - 120*x - 115*x^2 + 10*x^3 + 5*x^4 + E^x*(-120 + 10*x + 10*x^2) + (-120 + 10*E^x + 10*x + 10*x^2)*Log[x] + 5*Log[x]^2),x]","e^{\frac{2 x}{5 \left(x^2+x+e^x+\log (x)-12\right)}}","e^{\frac{2 x}{5 \left(x^2+x+e^x+\log (x)-12\right)}}",1,"E^((2*x)/(5*(-12 + E^x + x + x^2 + Log[x])))","A",1
3710,1,31,31,0.2095554,"\int \frac{32 x+16 x^2+2 x^3+e^{\frac{5}{-2+\log (5)}} \left(72 x-7 x^2-2 x^3\right)+\left(-144-40 x+7 x^2+2 x^3\right) \log (-9+2 x)+\left(e^{\frac{5}{-2+\log (5)}} \left(36 x+x^2-2 x^3\right)+\left(-144-40 x+7 x^2+2 x^3\right) \log (-9+2 x)\right) \log \left(\frac{e^{\frac{5}{-2+\log (5)}} x^2+\left(-4 x-x^2\right) \log (-9+2 x)}{4+x}\right)}{e^{\frac{5}{-2+\log (5)}} \left(36 x+x^2-2 x^3\right)+\left(-144-40 x+7 x^2+2 x^3\right) \log (-9+2 x)} \, dx","Integrate[(32*x + 16*x^2 + 2*x^3 + E^(5/(-2 + Log[5]))*(72*x - 7*x^2 - 2*x^3) + (-144 - 40*x + 7*x^2 + 2*x^3)*Log[-9 + 2*x] + (E^(5/(-2 + Log[5]))*(36*x + x^2 - 2*x^3) + (-144 - 40*x + 7*x^2 + 2*x^3)*Log[-9 + 2*x])*Log[(E^(5/(-2 + Log[5]))*x^2 + (-4*x - x^2)*Log[-9 + 2*x])/(4 + x)])/(E^(5/(-2 + Log[5]))*(36*x + x^2 - 2*x^3) + (-144 - 40*x + 7*x^2 + 2*x^3)*Log[-9 + 2*x]),x]","x \log \left(x \left(\frac{x e^{\frac{5}{\log (5)-2}}}{x+4}-\log (2 x-9)\right)\right)","x \log \left(x \left(\frac{x e^{\frac{5}{\log (5)-2}}}{x+4}-\log (2 x-9)\right)\right)",1,"x*Log[x*((E^(5/(-2 + Log[5]))*x)/(4 + x) - Log[-9 + 2*x])]","A",1
3711,1,15,14,0.0690498,"\int \frac{3+2 x+x^2+e \left(2 x+2 x^2\right)+\left(2 x+2 x^2\right) \log (x)}{e \left(3 x+2 x^2+x^3\right)+\left(3 x+2 x^2+x^3\right) \log (x)} \, dx","Integrate[(3 + 2*x + x^2 + E*(2*x + 2*x^2) + (2*x + 2*x^2)*Log[x])/(E*(3*x + 2*x^2 + x^3) + (3*x + 2*x^2 + x^3)*Log[x]),x]","\log \left(x^2+2 x+3\right)+\log (\log (x)+e)","\log \left(\left(x^2+2 x+3\right) (\log (x)+e)\right)",1,"Log[3 + 2*x + x^2] + Log[E + Log[x]]","A",1
3712,1,29,23,0.6493784,"\int \frac{200 x^4+e^{5 x} \left(-200 x^4-1250 x^5\right)+\left(-750 x^4+750 e^{5 x} x^4\right) \log \left(-1+e^{5 x}\right)+\left(-1250 x^4+1250 e^{5 x} x^4\right) \log ^2\left(-1+e^{5 x}\right)}{-1+e^{5 x}+\left(10-10 e^{5 x}\right) \log \left(-1+e^{5 x}\right)+\left(-25+25 e^{5 x}\right) \log ^2\left(-1+e^{5 x}\right)} \, dx","Integrate[(200*x^4 + E^(5*x)*(-200*x^4 - 1250*x^5) + (-750*x^4 + 750*E^(5*x)*x^4)*Log[-1 + E^(5*x)] + (-1250*x^4 + 1250*E^(5*x)*x^4)*Log[-1 + E^(5*x)]^2)/(-1 + E^(5*x) + (10 - 10*E^(5*x))*Log[-1 + E^(5*x)] + (-25 + 25*E^(5*x))*Log[-1 + E^(5*x)]^2),x]","-50 \left(-\frac{x^5}{5}-\frac{x^5}{5 \log \left(e^{5 x}-1\right)-1}\right)","10 x^4 \left(x+\frac{x}{\log \left(e^{5 x}-1\right)-\frac{1}{5}}\right)",1,"-50*(-1/5*x^5 - x^5/(-1 + 5*Log[-1 + E^(5*x)]))","A",1
3713,1,28,21,0.0181515,"\int \frac{-2 e^3-5 x^3}{20 x^3-5 x^4+e^3 \left(x+10 x^3\right)} \, dx","Integrate[(-2*E^3 - 5*x^3)/(20*x^3 - 5*x^4 + E^3*(x + 10*x^3)),x]","\log \left(-5 x^3+10 e^3 x^2+20 x^2+e^3\right)-2 \log (x)","\log \left(\frac{2 e^3 \left(x^2+\frac{1}{10}\right)}{x^2}-x+4\right)",1,"-2*Log[x] + Log[E^3 + 20*x^2 + 10*E^3*x^2 - 5*x^3]","A",1
3714,1,32,22,0.0730392,"\int \frac{-3-12 x-10 x^2+e^x \left(-1-x-5 x^2\right)+\left(-x-e^x x\right) \log (x)}{x} \, dx","Integrate[(-3 - 12*x - 10*x^2 + E^x*(-1 - x - 5*x^2) + (-x - E^x*x)*Log[x])/x,x]","-5 x^2-11 x-e^x (5 x-4)-\left(x+e^x\right) \log (x)-3 \log (x)","\left(x+e^x+3\right) (-5 x-\log (x)+4)+e^{25/4}",1,"-11*x - 5*x^2 - E^x*(-4 + 5*x) - 3*Log[x] - (E^x + x)*Log[x]","A",1
3715,1,51,28,0.1797054,"\int \frac{-3 e^x x+e^{2 x} x^2+\left(12+4 e^x x^2\right) \log \left(\frac{9-6 e^x x+e^{2 x} x^2}{e^{8/5} x^2}\right)+\left(3 x-e^x x^2\right) \log ^2\left(\frac{9-6 e^x x+e^{2 x} x^2}{e^{8/5} x^2}\right)}{-3 e^x x+e^{2 x} x^2} \, dx","Integrate[(-3*E^x*x + E^(2*x)*x^2 + (12 + 4*E^x*x^2)*Log[(9 - 6*E^x*x + E^(2*x)*x^2)/(E^(8/5)*x^2)] + (3*x - E^x*x^2)*Log[(9 - 6*E^x*x + E^(2*x)*x^2)/(E^(8/5)*x^2)]^2)/(-3*E^x*x + E^(2*x)*x^2),x]","\frac{1}{25} e^{-x} \left(25 \log ^2\left(\frac{\left(e^x x-3\right)^2}{x^2}\right)-80 \log \left(\frac{\left(e^x x-3\right)^2}{x^2}\right)+25 e^x x+64\right)","x+e^{-x} \log ^2\left(\frac{\left(e^x-\frac{3}{x}\right)^2}{e^{8/5}}\right)",1,"(64 + 25*E^x*x - 80*Log[(-3 + E^x*x)^2/x^2] + 25*Log[(-3 + E^x*x)^2/x^2]^2)/(25*E^x)","A",1
3716,1,17,18,5.0163711,"\int \frac{2 x+(-6+3 x) \log \left(\frac{e (2-x)}{x}\right)}{\left(-2 x^2+x^3\right) \log \left(\frac{e (2-x)}{x}\right)} \, dx","Integrate[(2*x + (-6 + 3*x)*Log[(E*(2 - x))/x])/((-2*x^2 + x^3)*Log[(E*(2 - x))/x]),x]","\log \left(\log \left(-\frac{e (x-2)}{x}\right)\right)-\frac{3}{x}","\log \left(\log \left(\frac{2 e}{x}-e\right)\right)-\frac{3}{x}",1,"-3/x + Log[Log[-((E*(-2 + x))/x)]]","A",1
3717,1,25,26,0.8587381,"\int e^{-9+4 e^{e^{-9-x} x}-x} \left(e^{9+x} \left(4-4 e^x\right)+e^{e^{-9-x} x} \left(16 x-16 x^2+e^x (-16+16 x)\right)\right) \, dx","Integrate[E^(-9 + 4*E^(E^(-9 - x)*x) - x)*(E^(9 + x)*(4 - 4*E^x) + E^(E^(-9 - x)*x)*(16*x - 16*x^2 + E^x*(-16 + 16*x))),x]","e^{4 e^{e^{-x-9} x}} \left(4 x-4 e^x\right)","4 e^{4 e^{e^{-x-9} x}} \left(x-e^x\right)+1",1,"E^(4*E^(E^(-9 - x)*x))*(-4*E^x + 4*x)","A",1
3718,1,22,23,0.207375,"\int \frac{2 x-3 x^2-5 x^3-2 x^4+\left(-3-5 x-2 x^2\right) \log (3+2 x)}{6 x^2+7 x^3+2 x^4+\left(3 x+2 x^2\right) \log (3+2 x)} \, dx","Integrate[(2*x - 3*x^2 - 5*x^3 - 2*x^4 + (-3 - 5*x - 2*x^2)*Log[3 + 2*x])/(6*x^2 + 7*x^3 + 2*x^4 + (3*x + 2*x^2)*Log[3 + 2*x]),x]","\log \left(x^2+2 x+\log (2 x+3)\right)-x-\log (x)","\log \left(3 \left(x+\frac{x+\log (2 x+3)}{x}\right)+3\right)-x",1,"-x - Log[x] + Log[2*x + x^2 + Log[3 + 2*x]]","A",1
3719,1,36,26,0.0511402,"\int \frac{e^{\frac{4 \left(15 x^2+15 x \log (5)\right)}{8+12 x}} \left(-60 x-45 x^2-30 \log (5)\right)}{4+12 x+9 x^2} \, dx","Integrate[(E^((4*(15*x^2 + 15*x*Log[5]))/(8 + 12*x))*(-60*x - 45*x^2 - 30*Log[5]))/(4 + 12*x + 9*x^2),x]","-\frac{5^{\frac{15 x}{3 x+2}} e^{\frac{15 x^2}{3 x+2}} \log (25)}{2 \log (5)}","3-e^{\frac{20 x (x+\log (5))}{2 (2 x+1)+\frac{2}{3}}}",1,"-1/2*(5^((15*x)/(2 + 3*x))*E^((15*x^2)/(2 + 3*x))*Log[25])/Log[5]","A",1
3720,1,57,31,0.0339106,"\int \frac{4 e^6 x+2 x^3-4 x^5+2 x^7+e^2 \left(1-3 x^2\right)+e^4 \left(-2 x^2-6 x^6\right)}{x^2-2 x^4+4 e^8 x^4+x^6+e^4 \left(4 x^3-4 x^5\right)} \, dx","Integrate[(4*E^6*x + 2*x^3 - 4*x^5 + 2*x^7 + E^2*(1 - 3*x^2) + E^4*(-2*x^2 - 6*x^6))/(x^2 - 2*x^4 + 4*E^8*x^4 + x^6 + E^4*(4*x^3 - 4*x^5)),x]","\frac{8 e^{12} x^2+2 e^4 x^2-4 e^8 \left(x^2-1\right) x+\left(x^2-1\right) x^3+e^2}{x \left(x^2-2 e^4 x-1\right)}","\frac{-x^4-\frac{e^2}{x}+1}{-x^2+2 e^4 x+1}",1,"(E^2 + 2*E^4*x^2 + 8*E^12*x^2 - 4*E^8*x*(-1 + x^2) + x^3*(-1 + x^2))/(x*(-1 - 2*E^4*x + x^2))","A",1
3721,0,0,27,4.7420439,"\int \frac{\exp \left(x^3+e^x \left(-5 x^2-x^3\right)+e^x x^3 \log \left(64+32 x+4 x^2\right)\right) \left(12 x^2+3 x^3+e^x \left(-40 x-42 x^2-10 x^3-x^4\right)+e^x \left(12 x^2+7 x^3+x^4\right) \log \left(64+32 x+4 x^2\right)\right)}{4+x} \, dx","Integrate[(E^(x^3 + E^x*(-5*x^2 - x^3) + E^x*x^3*Log[64 + 32*x + 4*x^2])*(12*x^2 + 3*x^3 + E^x*(-40*x - 42*x^2 - 10*x^3 - x^4) + E^x*(12*x^2 + 7*x^3 + x^4)*Log[64 + 32*x + 4*x^2]))/(4 + x),x]","\int \frac{\exp \left(x^3+e^x \left(-5 x^2-x^3\right)+e^x x^3 \log \left(64+32 x+4 x^2\right)\right) \left(12 x^2+3 x^3+e^x \left(-40 x-42 x^2-10 x^3-x^4\right)+e^x \left(12 x^2+7 x^3+x^4\right) \log \left(64+32 x+4 x^2\right)\right)}{4+x} \, dx","\exp \left(x^2 \left(x-e^x \left(x+x \left(-\log \left(4 (x+4)^2\right)\right)+5\right)\right)\right)",1,"Integrate[(E^(x^3 + E^x*(-5*x^2 - x^3) + E^x*x^3*Log[64 + 32*x + 4*x^2])*(12*x^2 + 3*x^3 + E^x*(-40*x - 42*x^2 - 10*x^3 - x^4) + E^x*(12*x^2 + 7*x^3 + x^4)*Log[64 + 32*x + 4*x^2]))/(4 + x), x]","F",-1
3722,1,47,23,0.8720206,"\int \frac{e^{-\frac{50 e^{3-x}}{x}} \left(e^{3-x} (7200+7200 x)+e^{\frac{50 e^{3-x}}{x}} \left(18 x^2+18 x^3\right)+e^{\frac{25 e^{3-x}}{x}} \left(-72 x^2+e^{3-x} \left(-1800-3600 x-1800 x^2\right)\right)\right)}{x^2} \, dx","Integrate[(E^(3 - x)*(7200 + 7200*x) + E^((50*E^(3 - x))/x)*(18*x^2 + 18*x^3) + E^((25*E^(3 - x))/x)*(-72*x^2 + E^(3 - x)*(-1800 - 3600*x - 1800*x^2)))/(E^((50*E^(3 - x))/x)*x^2),x]","18 \left(\frac{x^2}{2}+x+8 e^{-\frac{50 e^{3-x}}{x}}+e^{-\frac{25 e^{3-x}}{x}} (-4 x-4)\right)","9 \left(x-4 e^{-\frac{25 e^{3-x}}{x}}+1\right)^2",1,"18*(8/E^((50*E^(3 - x))/x) + (-4 - 4*x)/E^((25*E^(3 - x))/x) + x + x^2/2)","B",1
3723,1,25,22,0.495508,"\int \frac{e^{4+4 e^{-6+x} x+e^{-12+2 x} x^2} \left(-1+e^{-6+x} \left(16 x+16 x^2\right)+e^{-12+2 x} \left(8 x^2+8 x^3\right)+\left(e^{-6+x} \left(-4 x-4 x^2\right)+e^{-12+2 x} \left(-2 x^2-2 x^3\right)\right) \log (x)\right)}{x} \, dx","Integrate[(E^(4 + 4*E^(-6 + x)*x + E^(-12 + 2*x)*x^2)*(-1 + E^(-6 + x)*(16*x + 16*x^2) + E^(-12 + 2*x)*(8*x^2 + 8*x^3) + (E^(-6 + x)*(-4*x - 4*x^2) + E^(-12 + 2*x)*(-2*x^2 - 2*x^3))*Log[x]))/x,x]","-e^{\frac{\left(e^x x+2 e^6\right)^2}{e^{12}}} (\log (x)-4)","e^{\left(e^{x-6} x+2\right)^2} (4-\log (x))-4",1,"-(E^((2*E^6 + E^x*x)^2/E^12)*(-4 + Log[x]))","A",1
3724,1,22,22,0.0377587,"\int \frac{2 \left(i \pi +\log \left(\frac{18}{5}\right)\right)+2 \left(i \pi +\log \left(\frac{18}{5}\right)\right) \log (x)}{4-4 x+x^2+(4-2 x) \log (x)+\log ^2(x)} \, dx","Integrate[(2*(I*Pi + Log[18/5]) + 2*(I*Pi + Log[18/5])*Log[x])/(4 - 4*x + x^2 + (4 - 2*x)*Log[x] + Log[x]^2),x]","\frac{2 x \left(\log \left(\frac{18}{5}\right)+i \pi \right)}{-x+\log (x)+2}","\frac{2 x \left(\log \left(\frac{18}{5}\right)+i \pi \right)}{-x+\log (x)+2}",1,"(2*x*(I*Pi + Log[18/5]))/(2 - x + Log[x])","A",1
3725,1,20,25,0.8430648,"\int \frac{2 e^x+e^{5 e^{-x} x} \left(5 x-5 x^2+2 e^x x^2\right)+2 e^x x^2 \log \left(x^2\right)}{e^{x+5 e^{-x} x} x+e^x x \log \left(x^2\right)} \, dx","Integrate[(2*E^x + E^((5*x)/E^x)*(5*x - 5*x^2 + 2*E^x*x^2) + 2*E^x*x^2*Log[x^2])/(E^(x + (5*x)/E^x)*x + E^x*x*Log[x^2]),x]","x^2+\log \left(\log \left(x^2\right)+e^{5 e^{-x} x}\right)","x^2+\log \left(-\log \left(x^2\right)-e^{5 e^{-x} x}\right)-5",1,"x^2 + Log[E^((5*x)/E^x) + Log[x^2]]","A",1
3726,1,32,26,0.0912098,"\int \frac{29 x-3 x^2+8 x^3+\left(3-55 x+17 x^2+18 x^3\right) \log \left(-3+x+x^2\right)}{-15+5 x+5 x^2} \, dx","Integrate[(29*x - 3*x^2 + 8*x^3 + (3 - 55*x + 17*x^2 + 18*x^3)*Log[-3 + x + x^2])/(-15 + 5*x + 5*x^2),x]","\frac{1}{5} \left(-5 x^2+9 x^2 \log \left(x^2+x-3\right)-x \log \left(x^2+x-3\right)\right)","\frac{1}{5} \left(9 x^2-x\right) \log \left(x^2+x-3\right)-x^2",1,"(-5*x^2 - x*Log[-3 + x + x^2] + 9*x^2*Log[-3 + x + x^2])/5","A",1
3727,1,21,17,0.0132268,"\int \frac{-5+\left(-4-8 x-4 x^2\right) \log (2)}{1+2 x+x^2} \, dx","Integrate[(-5 + (-4 - 8*x - 4*x^2)*Log[2])/(1 + 2*x + x^2),x]","-\frac{x^2 \log (16)+x \log (256)-5+\log (16)}{x+1}","\frac{4-x}{x+1}-4 x \log (2)",1,"-((-5 + Log[16] + x^2*Log[16] + x*Log[256])/(1 + x))","A",1
3728,1,33,32,0.1145334,"\int \frac{e^x \left(-8 x-44 x^2-48 x^3-220 x^4-640 x^5+384 x^6-2048 x^7+1024 x^8+e^{\frac{2 x^2}{1+3 x+16 x^3}} \left(-16-80 x-112 x^2-464 x^3-1024 x^4+2048 x^5-4096 x^6+4096 x^7\right)\right)}{x^4+6 x^5+9 x^6+32 x^7+96 x^8+256 x^{10}+e^{\frac{4 x^2}{1+3 x+16 x^3}} \left(16 x^2+96 x^3+144 x^4+512 x^5+1536 x^6+4096 x^8\right)+e^{\frac{2 x^2}{1+3 x+16 x^3}} \left(8 x^3+48 x^4+72 x^5+256 x^6+768 x^7+2048 x^9\right)} \, dx","Integrate[(E^x*(-8*x - 44*x^2 - 48*x^3 - 220*x^4 - 640*x^5 + 384*x^6 - 2048*x^7 + 1024*x^8 + E^((2*x^2)/(1 + 3*x + 16*x^3))*(-16 - 80*x - 112*x^2 - 464*x^3 - 1024*x^4 + 2048*x^5 - 4096*x^6 + 4096*x^7)))/(x^4 + 6*x^5 + 9*x^6 + 32*x^7 + 96*x^8 + 256*x^10 + E^((4*x^2)/(1 + 3*x + 16*x^3))*(16*x^2 + 96*x^3 + 144*x^4 + 512*x^5 + 1536*x^6 + 4096*x^8) + E^((2*x^2)/(1 + 3*x + 16*x^3))*(8*x^3 + 48*x^4 + 72*x^5 + 256*x^6 + 768*x^7 + 2048*x^9)),x]","\frac{4 e^x}{x \left(4 e^{\frac{2 x^2}{16 x^3+3 x+1}}+x\right)}","\frac{e^x}{\left(e^{\frac{2 x}{16 x^2+\frac{1}{x}+3}}+\frac{x}{4}\right) x}",1,"(4*E^x)/(x*(4*E^((2*x^2)/(1 + 3*x + 16*x^3)) + x))","A",1
3729,1,22,29,0.2808977,"\int \frac{-1+x-x^2+e^x \left(1+x^2-x^3\right)+\left(x^2-e^x x^2-x^3\right) \log \left(2-2 e^x-2 x\right)+\left(1-e^x-x\right) \log (x)+\left(-x^2+e^x x^2+x^3\right) \log (e x)}{-x^2+e^x x^2+x^3} \, dx","Integrate[(-1 + x - x^2 + E^x*(1 + x^2 - x^3) + (x^2 - E^x*x^2 - x^3)*Log[2 - 2*E^x - 2*x] + (1 - E^x - x)*Log[x] + (-x^2 + E^x*x^2 + x^3)*Log[E*x])/(-x^2 + E^x*x^2 + x^3),x]","x+x \left(-\log \left(-2 \left(x+e^x-1\right)\right)\right)+\left(x+\frac{1}{x}\right) \log (x)","\frac{\log (x)}{x}+x \left(\log (e x)-\log \left(2 \left(-x-e^x+1\right)\right)\right)",1,"x + (x^(-1) + x)*Log[x] - x*Log[-2*(-1 + E^x + x)]","A",1
3730,1,77,31,0.0478183,"\int \frac{-512+2560 x-3712 x^2+768 x^3+1152 x^4-256 x^5-128 x^6+\left(-512+1536 x-1280 x^2+1472 x^3-1536 x^4-192 x^5+384 x^6+64 x^7\right) \log (x)+\left(256 x-1856 x^3+768 x^4+1728 x^5-512 x^6-320 x^7\right) \log ^2(x)+\left(-320 x^3+928 x^4-288 x^5-576 x^6+160 x^7+96 x^8\right) \log ^3(x)}{25 x^3 \log ^3(x)} \, dx","Integrate[(-512 + 2560*x - 3712*x^2 + 768*x^3 + 1152*x^4 - 256*x^5 - 128*x^6 + (-512 + 1536*x - 1280*x^2 + 1472*x^3 - 1536*x^4 - 192*x^5 + 384*x^6 + 64*x^7)*Log[x] + (256*x - 1856*x^3 + 768*x^4 + 1728*x^5 - 512*x^6 - 320*x^7)*Log[x]^2 + (-320*x^3 + 928*x^4 - 288*x^5 - 576*x^6 + 160*x^7 + 96*x^8)*Log[x]^3)/(25*x^3*Log[x]^3),x]","\frac{32}{25} \left(\frac{2 \left(x^3+x^2-5 x+2\right)^2}{x^2 \log ^2(x)}-\frac{2 \left(x^3+x^2-5 x+2\right)^2}{x \log (x)}+\frac{1}{2} x \left(x^5+2 x^4-9 x^3-6 x^2+29 x-20\right)\right)","\frac{16}{25} \left(-x^2-x-\frac{2}{x}+5\right)^2 \left(x-\frac{2}{\log (x)}\right)^2",1,"(32*((x*(-20 + 29*x - 6*x^2 - 9*x^3 + 2*x^4 + x^5))/2 + (2*(2 - 5*x + x^2 + x^3)^2)/(x^2*Log[x]^2) - (2*(2 - 5*x + x^2 + x^3)^2)/(x*Log[x])))/25","B",1
3731,1,11,22,0.0329627,"\int \frac{3+x-2 x \log (x)}{135 x+135 x^2+45 x^3+5 x^4} \, dx","Integrate[(3 + x - 2*x*Log[x])/(135*x + 135*x^2 + 45*x^3 + 5*x^4),x]","\frac{\log (x)}{5 (x+3)^2}","\frac{\log (x)}{5 (x+3)^2}+e^{e^{64 e^4}}+3",1,"Log[x]/(5*(3 + x)^2)","A",1
3732,1,35,22,0.1563971,"\int \frac{x^3+\left(x+8 x^2-2 x^3\right) \log (3)+\left(-4+15 x-8 x^2+x^3\right) \log ^2(3)+\left(x \log (3)-x \log ^2(3)\right) \log (x)}{x^3+\left(8 x^2-2 x^3\right) \log (3)+\left(16 x-8 x^2+x^3\right) \log ^2(3)} \, dx","Integrate[(x^3 + (x + 8*x^2 - 2*x^3)*Log[3] + (-4 + 15*x - 8*x^2 + x^3)*Log[3]^2 + (x*Log[3] - x*Log[3]^2)*Log[x])/(x^3 + (8*x^2 - 2*x^3)*Log[3] + (16*x - 8*x^2 + x^3)*Log[3]^2),x]","\frac{x^2 (\log (3)-1)-4 x \log (3)+\log (3) \log (x)+\log (9)}{x (\log (3)-1)-4 \log (3)}","x-\frac{\log (x)+2}{-x+\frac{x}{\log (3)}+4}-6",1,"(x^2*(-1 + Log[3]) - 4*x*Log[3] + Log[9] + Log[3]*Log[x])/(x*(-1 + Log[3]) - 4*Log[3])","A",1
3733,1,6,8,0.0011888,"\int \frac{75}{-124+75 x} \, dx","Integrate[75/(-124 + 75*x),x]","\log (75 x-124)","\log \left(\frac{124}{25}-3 x\right)",1,"Log[-124 + 75*x]","A",1
3734,1,21,24,7.5163656,"\int \frac{e^{\frac{1-\frac{x \left(2+x^4\right)^{220}}{e^{1100}}}{x^2}} \left(-4-2 x^4+\frac{\left(2+x^4\right)^{220} \left(2 x-879 x^5\right)}{e^{1100}}\right)}{2 x^3+x^7} \, dx","Integrate[(E^((1 - (x*(2 + x^4)^220)/E^1100)/x^2)*(-4 - 2*x^4 + ((2 + x^4)^220*(2*x - 879*x^5))/E^1100))/(2*x^3 + x^7),x]","e^{\frac{1}{x^2}-\frac{\left(x^4+2\right)^{220}}{e^{1100} x}}","e^{\frac{\frac{1}{x}-e^{220 \left(\log \left(x^4+2\right)-5\right)}}{x}}",1,"E^(x^(-2) - (2 + x^4)^220/(E^1100*x))","A",1
3735,1,19,21,0.179128,"\int \frac{243-81 x}{-4 x-81 x^2+81 x \log \left(2 e^{-e^{10}} x^3\right)} \, dx","Integrate[(243 - 81*x)/(-4*x - 81*x^2 + 81*x*Log[(2*x^3)/E^E^10]),x]","\log \left(-81 \log \left(2 x^3\right)+81 x+81 e^{10}+4\right)","\log \left(-\log \left(2 e^{-e^{10}} x^3\right)+x+\frac{4}{81}\right)",1,"Log[4 + 81*E^10 + 81*x - 81*Log[2*x^3]]","A",1
3736,1,30,29,1.2796922,"\int \frac{1055 x^2+2 x^3+e^{2 x} (1055+2 x)+e^x \left(-2110 x-4 x^2\right)+e^{-\frac{1}{e^x-x}} \left(-24+8 e^{2 x}+e^x (24-8 x)-8 x+8 x^2\right)}{4 e^{2 x}-8 e^x x+4 x^2} \, dx","Integrate[(1055*x^2 + 2*x^3 + E^(2*x)*(1055 + 2*x) + E^x*(-2110*x - 4*x^2) + (-24 + 8*E^(2*x) + E^x*(24 - 8*x) - 8*x + 8*x^2)/E^(E^x - x)^(-1))/(4*E^(2*x) - 8*E^x*x + 4*x^2),x]","\frac{1}{4} \left(x^2+1055 x+e^{-\frac{1}{e^x-x}} (8 x+24)\right)","x+\left(2 \left(e^{\frac{1}{x-e^x}}+3\right)+\frac{x}{4}+256\right) (x+3)-2",1,"(1055*x + x^2 + (24 + 8*x)/E^(E^x - x)^(-1))/4","A",1
3737,1,17,19,0.1814406,"\int \frac{e^{4-100 e^{4-2 x}-x} \left(e^{-4+2 x} (-1+x)+200 x\right)}{x^2} \, dx","Integrate[(E^(4 - 100*E^(4 - 2*x) - x)*(E^(-4 + 2*x)*(-1 + x) + 200*x))/x^2,x]","\frac{e^{x-100 e^{4-2 x}}}{x}","\frac{e^{x-100 e^{4-2 x}}}{x}+5",1,"E^(-100*E^(4 - 2*x) + x)/x","A",1
3738,1,144,24,0.1288431,"\int \frac{-32-32 e^5-32 x+e^x \left(e^{10} (-160+40 e)-160 x-160 x^2+e \left(40 x+40 x^2\right)+e^5 (-160-320 x+e (40+80 x))\right)}{16 e^5+16 x+e^x \left((160-40 e) e^{10}+160 x^2-40 e x^2+e^5 (320 x-80 e x)\right)+e^{2 x} \left(e^{15} \left(450-200 e+25 e^2\right)+450 x^3-200 e x^3+25 e^2 x^3+e^{10} \left(1350 x-600 e x+75 e^2 x\right)+e^5 \left(1350 x^2-600 e x^2+75 e^2 x^2\right)\right)} \, dx","Integrate[(-32 - 32*E^5 - 32*x + E^x*(E^10*(-160 + 40*E) - 160*x - 160*x^2 + E*(40*x + 40*x^2) + E^5*(-160 - 320*x + E*(40 + 80*x))))/(16*E^5 + 16*x + E^x*((160 - 40*E)*E^10 + 160*x^2 - 40*E*x^2 + E^5*(320*x - 80*E*x)) + E^(2*x)*(E^15*(450 - 200*E + 25*E^2) + 450*x^3 - 200*E*x^3 + 25*E^2*x^3 + E^10*(1350*x - 600*E*x + 75*E^2*x) + E^5*(1350*x^2 - 600*E*x^2 + 75*E^2*x^2))),x]","8 \left(\frac{1}{8} \log \left(450 e^{2 x} x^2-200 e^{2 x+1} x^2+25 e^{2 x+2} x^2+160 e^x x-40 e^{x+1} x+900 e^{2 x+5} x-400 e^{2 x+6} x+50 e^{2 x+7} x+160 e^{x+5}-40 e^{x+6}+450 e^{2 x+10}-200 e^{2 x+11}+25 e^{2 x+12}+16\right)-\frac{x}{4}-\frac{1}{4} \log \left(x+e^5\right)\right)","\log \left(\left(-\frac{4 e^{-x}}{5 \left(x+e^5\right)}+e-4\right)^2+2\right)",1,"8*(-1/4*x - Log[E^5 + x]/4 + Log[16 + 160*E^(5 + x) - 40*E^(6 + x) + 450*E^(10 + 2*x) - 200*E^(11 + 2*x) + 25*E^(12 + 2*x) + 160*E^x*x - 40*E^(1 + x)*x + 900*E^(5 + 2*x)*x - 400*E^(6 + 2*x)*x + 50*E^(7 + 2*x)*x + 450*E^(2*x)*x^2 - 200*E^(1 + 2*x)*x^2 + 25*E^(2 + 2*x)*x^2]/8)","B",1
3739,1,7,9,0.0000592,"\int \frac{1}{\log (\log (3))} \, dx","Integrate[Log[Log[3]]^(-1),x]","\frac{x}{\log (\log (3))}","\frac{x}{\log (\log (3))}+3",1,"x/Log[Log[3]]","A",1
3740,1,220,23,0.1502901,"\int \frac{-1125+(-675+2700 x) \log (3)+\left(-140+1080 x-2160 x^2\right) \log ^2(3)+\left(-10+104 x-432 x^2+576 x^3\right) \log ^3(3)+\left(675+(270-1080 x) \log (3)+\left(28-216 x+432 x^2\right) \log ^2(3)\right) \log (4)+(-135+(-27+108 x) \log (3)) \log ^2(4)+9 \log ^3(4)}{-1125+(-675+2700 x) \log (3)+\left(-135+1080 x-2160 x^2\right) \log ^2(3)+\left(-9+108 x-432 x^2+576 x^3\right) \log ^3(3)+\left(675+(270-1080 x) \log (3)+\left(27-216 x+432 x^2\right) \log ^2(3)\right) \log (4)+(-135+(-27+108 x) \log (3)) \log ^2(4)+9 \log ^3(4)} \, dx","Integrate[(-1125 + (-675 + 2700*x)*Log[3] + (-140 + 1080*x - 2160*x^2)*Log[3]^2 + (-10 + 104*x - 432*x^2 + 576*x^3)*Log[3]^3 + (675 + (270 - 1080*x)*Log[3] + (28 - 216*x + 432*x^2)*Log[3]^2)*Log[4] + (-135 + (-27 + 108*x)*Log[3])*Log[4]^2 + 9*Log[4]^3)/(-1125 + (-675 + 2700*x)*Log[3] + (-135 + 1080*x - 2160*x^2)*Log[3]^2 + (-9 + 108*x - 432*x^2 + 576*x^3)*Log[3]^3 + (675 + (270 - 1080*x)*Log[3] + (27 - 216*x + 432*x^2)*Log[3]^2)*Log[4] + (-135 + (-27 + 108*x)*Log[3])*Log[4]^2 + 9*Log[4]^3),x]","\frac{1152 x^3 \log ^3(3) \log ^3(81)+2304 x^2 \left(\log \left(\frac{4}{3}\right)-5\right) \log ^3(3) \log ^2(81)-8 x \log (3) \log (81) \left(-54 \log (3) (\log (4)-5) \log ^2(81)+27 (\log (4)-5)^2 \log ^2(81)+\log ^2(3) \left(-14400-576 \log ^2\left(\frac{4}{3}\right)+26 \log ^2(81)+5760 \log \left(\frac{4}{3}\right)\right)\right)-9 (\log (4)-5)^3 \log ^3(81)+4 \log ^2(3) (\log (4)-5) \left(-270+54 \log \left(\frac{4}{3}\right)-7 \log (81)\right) \log ^2(81)+27 \log (3) (\log (4)-5)^2 \left(20+\log \left(\frac{6561}{256}\right)\right) \log ^2(81)+2 \log ^3(3) \left(1152 \log ^3\left(\frac{4}{3}\right)-17280 \log ^2\left(\frac{4}{3}\right)+\log \left(\frac{4}{3}\right) \left(86400-52 \log ^2(81)\right)+5 \left(-28800+\log ^3(81)+52 \log ^2(81)\right)\right)}{18 \log ^4(81) \left(x \log (81)-5+\log \left(\frac{4}{3}\right)\right)^2}","x+\frac{x}{9 \left(4 x-1+\frac{\log (4)-5}{\log (3)}\right)^2}",1,"(2304*x^2*(-5 + Log[4/3])*Log[3]^3*Log[81]^2 + 27*Log[3]*(-5 + Log[4])^2*(20 + Log[6561/256])*Log[81]^2 + 4*Log[3]^2*(-5 + Log[4])*(-270 + 54*Log[4/3] - 7*Log[81])*Log[81]^2 + 1152*x^3*Log[3]^3*Log[81]^3 - 9*(-5 + Log[4])^3*Log[81]^3 - 8*x*Log[3]*Log[81]*(-54*Log[3]*(-5 + Log[4])*Log[81]^2 + 27*(-5 + Log[4])^2*Log[81]^2 + Log[3]^2*(-14400 + 5760*Log[4/3] - 576*Log[4/3]^2 + 26*Log[81]^2)) + 2*Log[3]^3*(-17280*Log[4/3]^2 + 1152*Log[4/3]^3 + Log[4/3]*(86400 - 52*Log[81]^2) + 5*(-28800 + 52*Log[81]^2 + Log[81]^3)))/(18*Log[81]^4*(-5 + Log[4/3] + x*Log[81])^2)","B",1
3741,1,26,28,0.0949802,"\int \frac{-e-x^2+e^{3 x+e^{3 x} x} \left(-5 x^2-15 x^3\right)+\left(-e-x^2\right) \log (4)}{x^2+x^2 \log (4)} \, dx","Integrate[(-E - x^2 + E^(3*x + E^(3*x)*x)*(-5*x^2 - 15*x^3) + (-E - x^2)*Log[4])/(x^2 + x^2*Log[4]),x]","-x+\frac{e}{x}-\frac{5 e^{e^{3 x} x}}{1+\log (4)}","-x+\frac{e}{x}+\frac{5 e^{e^{3 x} x}}{-1-\log (4)}",1,"E/x - x - (5*E^(E^(3*x)*x))/(1 + Log[4])","A",1
3742,1,26,28,1.1609632,"\int \exp \left(-x+e^{-x} \left(-5 x+e^x \left(1+x^3\right)\right)+\frac{3-e^{e^{-x} \left(-5 x+e^x \left(1+x^3\right)\right)} \log (3)}{\log (3)}\right) \left(5-5 x-3 e^x x^2\right) \, dx","Integrate[E^(-x + (-5*x + E^x*(1 + x^3))/E^x + (3 - E^((-5*x + E^x*(1 + x^3))/E^x)*Log[3])/Log[3])*(5 - 5*x - 3*E^x*x^2),x]","e^{\frac{3}{\log (3)}-e^{x^3-5 e^{-x} x+1}}","e^{\frac{3}{\log (3)}-e^{x \left(x^2-5 e^{-x}\right)+1}}",1,"E^(-E^(1 - (5*x)/E^x + x^3) + 3/Log[3])","A",1
3743,1,10,10,0.0052396,"\int \frac{1-x+\log (\log (x))}{x} \, dx","Integrate[(1 - x + Log[Log[x]])/x,x]","\log (x) \log (\log (x))-x","\log (x) \log (\log (x))-x",1,"-x + Log[x]*Log[Log[x]]","A",1
3744,1,8,10,0.0025669,"\int -\frac{12}{324+e^2-36 x+x^2+e (-36+2 x)} \, dx","Integrate[-12/(324 + E^2 - 36*x + x^2 + E*(-36 + 2*x)),x]","\frac{12}{x+e-18}","\frac{12}{x+e-18}+4",1,"12/(-18 + E + x)","A",1
3745,1,169,30,0.0870121,"\int \frac{50000+247000 x+57500 x^2-162500 x^3+375000 x^4+\left(30000+148200 x+34500 x^2-97500 x^3+225000 x^4\right) \log \left(\frac{25 x+\left(-3+30 x-75 x^2\right) \log \left(e^3 \left(4+x^2\right)\right)}{3-30 x+75 x^2}\right)+\left(6000+29640 x+6900 x^2-19500 x^3+45000 x^4\right) \log ^2\left(\frac{25 x+\left(-3+30 x-75 x^2\right) \log \left(e^3 \left(4+x^2\right)\right)}{3-30 x+75 x^2}\right)+\left(400+1976 x+460 x^2-1300 x^3+3000 x^4\right) \log ^3\left(\frac{25 x+\left(-3+30 x-75 x^2\right) \log \left(e^3 \left(4+x^2\right)\right)}{3-30 x+75 x^2}\right)}{100 x-500 x^2+25 x^3-125 x^4+\left(-12+180 x-903 x^2+1545 x^3-225 x^4+375 x^5\right) \log \left(e^3 \left(4+x^2\right)\right)} \, dx","Integrate[(50000 + 247000*x + 57500*x^2 - 162500*x^3 + 375000*x^4 + (30000 + 148200*x + 34500*x^2 - 97500*x^3 + 225000*x^4)*Log[(25*x + (-3 + 30*x - 75*x^2)*Log[E^3*(4 + x^2)])/(3 - 30*x + 75*x^2)] + (6000 + 29640*x + 6900*x^2 - 19500*x^3 + 45000*x^4)*Log[(25*x + (-3 + 30*x - 75*x^2)*Log[E^3*(4 + x^2)])/(3 - 30*x + 75*x^2)]^2 + (400 + 1976*x + 460*x^2 - 1300*x^3 + 3000*x^4)*Log[(25*x + (-3 + 30*x - 75*x^2)*Log[E^3*(4 + x^2)])/(3 - 30*x + 75*x^2)]^3)/(100*x - 500*x^2 + 25*x^3 - 125*x^4 + (-12 + 180*x - 903*x^2 + 1545*x^3 - 225*x^4 + 375*x^5)*Log[E^3*(4 + x^2)]),x]","4 \left(\frac{1}{4} \log ^4\left(-\frac{225 x^2+3 (1-5 x)^2 \log \left(x^2+4\right)-115 x+9}{3 (1-5 x)^2}\right)+5 \log ^3\left(-\frac{225 x^2+3 (1-5 x)^2 \log \left(x^2+4\right)-115 x+9}{3 (1-5 x)^2}\right)+\frac{75}{2} \log ^2\left(-\frac{225 x^2+3 (1-5 x)^2 \log \left(x^2+4\right)-115 x+9}{3 (1-5 x)^2}\right)+125 \log \left(-\frac{225 x^2+3 (1-5 x)^2 \log \left(x^2+4\right)-115 x+9}{3 (1-5 x)^2}\right)\right)","\left(\log \left(\frac{x}{3 \left(x-\frac{1}{5}\right)^2}-\log \left(e^3 \left(x^2+4\right)\right)\right)+5\right)^4",1,"4*(125*Log[-1/3*(9 - 115*x + 225*x^2 + 3*(1 - 5*x)^2*Log[4 + x^2])/(1 - 5*x)^2] + (75*Log[-1/3*(9 - 115*x + 225*x^2 + 3*(1 - 5*x)^2*Log[4 + x^2])/(1 - 5*x)^2]^2)/2 + 5*Log[-1/3*(9 - 115*x + 225*x^2 + 3*(1 - 5*x)^2*Log[4 + x^2])/(1 - 5*x)^2]^3 + Log[-1/3*(9 - 115*x + 225*x^2 + 3*(1 - 5*x)^2*Log[4 + x^2])/(1 - 5*x)^2]^4/4)","B",1
3746,1,25,23,0.0228867,"\int \frac{-5 x^5+e^{2 x} \left(-16+8 x-20 x^2+20 x^3\right)}{5 x^5} \, dx","Integrate[(-5*x^5 + E^(2*x)*(-16 + 8*x - 20*x^2 + 20*x^3))/(5*x^5),x]","\frac{2 e^{2 x} \left(5 x^3+2 x\right)}{5 x^5}-x","\frac{2 e^{2 x} \left(\frac{2}{x^2}+5\right)}{5 x^2}-x",1,"-x + (2*E^(2*x)*(2*x + 5*x^3))/(5*x^5)","A",1
3747,1,29,33,0.0475181,"\int \frac{1}{625} \left(e^{2+4 x} \left(800 x+2200 x^2+900 x^3+100 x^4\right)+e^{2+2 x} \left(-2400 x^2-3200 x^3-1050 x^4-100 x^5+e \left(-320 x-560 x^2-200 x^3-20 x^4\right)\right)+e^2 \left(1600 x^3+1000 x^4+150 x^5+e^2 \left(32 x+24 x^2+4 x^3\right)+e \left(480 x^2+320 x^3+50 x^4\right)\right)\right) \, dx","Integrate[(E^(2 + 4*x)*(800*x + 2200*x^2 + 900*x^3 + 100*x^4) + E^(2 + 2*x)*(-2400*x^2 - 3200*x^3 - 1050*x^4 - 100*x^5 + E*(-320*x - 560*x^2 - 200*x^3 - 20*x^4)) + E^2*(1600*x^3 + 1000*x^4 + 150*x^5 + E^2*(32*x + 24*x^2 + 4*x^3) + E*(480*x^2 + 320*x^3 + 50*x^4)))/625,x]","\frac{1}{625} e^2 x^2 (x+4)^2 \left(5 x-5 e^{2 x}+e\right)^2","\frac{1}{25} e^2 (-x-4)^2 \left(-x+e^{2 x}-\frac{e}{5}\right)^2 x^2",1,"(E^2*x^2*(4 + x)^2*(E - 5*E^(2*x) + 5*x)^2)/625","A",1
3748,1,14,14,0.0000732,"\int (-470+50 x+10 \log (16)) \, dx","Integrate[-470 + 50*x + 10*Log[16],x]","25 x^2-470 x+10 x \log (16)","(2 (x-21)+3 x-5+\log (16))^2",1,"-470*x + 25*x^2 + 10*x*Log[16]","A",1
3749,1,22,29,0.0187203,"\int \frac{e^{\frac{6 x^2-x^4-\log (3)}{x^2}} \left(2 x^4-2 \log (3)\right)}{x^3 \log (3)} \, dx","Integrate[(E^((6*x^2 - x^4 - Log[3])/x^2)*(2*x^4 - 2*Log[3]))/(x^3*Log[3]),x]","-\frac{3^{-\frac{1}{x^2}} e^{6-x^2}}{\log (3)}","\frac{-e^{-x^2-\frac{\log (3)}{x^2}+6}-3+5 \log (3)}{\log (3)}",1,"-(E^(6 - x^2)/(3^x^(-2)*Log[3]))","A",1
3750,1,27,29,0.8118376,"\int \frac{\exp \left(-9-x+e^{-9-x} x-\frac{3 e^{e^{-9-x} x} x^2}{-1+x}\right) \left(3 x^2-6 x^3+3 x^4+e^{9+x} \left(6 x-3 x^2\right)\right)}{5-10 x+5 x^2} \, dx","Integrate[(E^(-9 - x + E^(-9 - x)*x - (3*E^(E^(-9 - x)*x)*x^2)/(-1 + x))*(3*x^2 - 6*x^3 + 3*x^4 + E^(9 + x)*(6*x - 3*x^2)))/(5 - 10*x + 5*x^2),x]","\frac{1}{5} e^{-\frac{3 e^{e^{-x-9} x} x^2}{x-1}}","\frac{1}{5} e^{\frac{3 e^{e^{-x-9} x} x^2}{1-x}}",1,"1/(5*E^((3*E^(E^(-9 - x)*x)*x^2)/(-1 + x)))","A",1
3751,1,24,17,0.0054031,"\int \left(2+\log \left(\frac{\left(20 x^2+3 e x^2\right) \log (\log (5))}{e}\right)\right) \, dx","Integrate[2 + Log[((20*x^2 + 3*E*x^2)*Log[Log[5]])/E],x]","x \log \left(x^2\right)-x+x \log (\log (\log (5)))+x \log (20+3 e)","x \log \left(\left(3+\frac{20}{e}\right) x^2 \log (\log (5))\right)",1,"-x + x*Log[20 + 3*E] + x*Log[x^2] + x*Log[Log[Log[5]]]","A",1
3752,1,21,27,0.3728577,"\int \frac{-2+e^{e^x+x}+40 e^{20 x^2} x}{-5+e^5+e^{e^x}+e^{20 x^2}-2 x} \, dx","Integrate[(-2 + E^(E^x + x) + 40*E^(20*x^2)*x)/(-5 + E^5 + E^E^x + E^(20*x^2) - 2*x),x]","\log \left(e^{20 x^2}-2 x+e^{e^x}+e^5-5\right)","\log \left(-e^{20 x^2}+2 x-e^{e^x}-e^5+5\right)",1,"Log[-5 + E^5 + E^E^x + E^(20*x^2) - 2*x]","A",1
3753,1,88,31,0.1129725,"\int \frac{1512 x+3411 x^2+81 x^3-1503 x^4+315 x^5+e^{12} (-27+7 x)+e^6 \left(-504-552 x+666 x^2-126 x^3\right)+\left(e^{12} (4-x)-216 x-486 x^2-9 x^3+216 x^4-45 x^5+e^6 \left(72+78 x-96 x^2+18 x^3\right)\right) \log (-4+x)+\left(504 x+1386 x^2+630 x^3-252 x^4+e^6 \left(-168-294 x+84 x^2\right)+\left(-72 x-198 x^2-90 x^3+36 x^4+e^6 \left(24+42 x-12 x^2\right)\right) \log (-4+x)\right) \log (-7+\log (-4+x))}{252-63 x+(-36+9 x) \log (-4+x)} \, dx","Integrate[(1512*x + 3411*x^2 + 81*x^3 - 1503*x^4 + 315*x^5 + E^12*(-27 + 7*x) + E^6*(-504 - 552*x + 666*x^2 - 126*x^3) + (E^12*(4 - x) - 216*x - 486*x^2 - 9*x^3 + 216*x^4 - 45*x^5 + E^6*(72 + 78*x - 96*x^2 + 18*x^3))*Log[-4 + x] + (504*x + 1386*x^2 + 630*x^3 - 252*x^4 + E^6*(-168 - 294*x + 84*x^2) + (-72*x - 198*x^2 - 90*x^3 + 36*x^4 + E^6*(24 + 42*x - 12*x^2))*Log[-4 + x])*Log[-7 + Log[-4 + x]])/(252 - 63*x + (-36 + 9*x)*Log[-4 + x]),x]","\frac{1}{9} \left(-9 x^5+9 x^4+3 \left(15+2 e^6\right) x^3-3 \left(4 e^6-9\right) x^2-e^6 \left(18+e^6\right) x+3 (x+1) \left(3 x (x+1)-2 e^6\right) x \log (\log (x-4)-7)+e^{12} \log (7-\log (x-4))\right)","\left(-x^2-x+\frac{e^6}{3}\right)^2 (-x+\log (\log (x-4)-7)+3)",1,"(-(E^6*(18 + E^6)*x) - 3*(-9 + 4*E^6)*x^2 + 3*(15 + 2*E^6)*x^3 + 9*x^4 - 9*x^5 + E^12*Log[7 - Log[-4 + x]] + 3*x*(1 + x)*(-2*E^6 + 3*x*(1 + x))*Log[-7 + Log[-4 + x]])/9","B",1
3754,1,16,24,0.0102271,"\int \frac{e^{-2 e} \left(-10-12 x-6 x^2-x^3\right)}{8+12 x+6 x^2+x^3} \, dx","Integrate[(-10 - 12*x - 6*x^2 - x^3)/(E^(2*E)*(8 + 12*x + 6*x^2 + x^3)),x]","-e^{-2 e} \left(x-\frac{1}{(x+2)^2}\right)","e^{-2 e} \left(-x+\frac{1}{3} \left(\frac{3}{(x+2)^2}-4\right)+4\right)",1,"-((x - (2 + x)^(-2))/E^(2*E))","A",1
3755,1,23,27,0.0761215,"\int \frac{e^{2 x} \left(200+100 x-50 x^2\right)+e^x \left(-4+18 x-6 x^2\right)+\left(e^{2 x} \left(-200 x+50 x^2\right)+e^x \left(4 x-9 x^2+2 x^3\right)\right) \log \left(-4 x+9 x^2-2 x^3+e^x \left(200 x-50 x^2\right)\right)}{\left(4 x-9 x^2+2 x^3+e^x \left(-200 x+50 x^2\right)\right) \log ^2\left(-4 x+9 x^2-2 x^3+e^x \left(200 x-50 x^2\right)\right)} \, dx","Integrate[(E^(2*x)*(200 + 100*x - 50*x^2) + E^x*(-4 + 18*x - 6*x^2) + (E^(2*x)*(-200*x + 50*x^2) + E^x*(4*x - 9*x^2 + 2*x^3))*Log[-4*x + 9*x^2 - 2*x^3 + E^x*(200*x - 50*x^2)])/((4*x - 9*x^2 + 2*x^3 + E^x*(-200*x + 50*x^2))*Log[-4*x + 9*x^2 - 2*x^3 + E^x*(200*x - 50*x^2)]^2),x]","\frac{e^x}{\log \left(-\left((x-4) x \left(2 x+50 e^x-1\right)\right)\right)}","\frac{e^x}{\log \left(2 (4-x) x \left(x+25 e^x-\frac{1}{2}\right)\right)}+1",1,"E^x/Log[-((-4 + x)*x*(-1 + 50*E^x + 2*x))]","A",1
3756,1,26,26,0.0992683,"\int \frac{e^{4+x} \left(-x^2-x^3\right)+\left(-8+8 x-4 e^4 x\right) \log ^3(x)+2 \log ^4(x)}{x^2} \, dx","Integrate[(E^(4 + x)*(-x^2 - x^3) + (-8 + 8*x - 4*E^4*x)*Log[x]^3 + 2*Log[x]^4)/x^2,x]","\left(-\frac{2}{x}-e^4+2\right) \log ^4(x)-e^{x+4} x","\left(-\frac{2}{x}-e^4+2\right) \log ^4(x)-e^{x+4} x",1,"-(E^(4 + x)*x) + (2 - E^4 - 2/x)*Log[x]^4","A",1
3757,1,39,33,0.1486547,"\int \frac{(4-8 x) \log ^2\left(\frac{x^2}{4}\right)+e^{\frac{x-x \log \left(\frac{x^2}{4}\right)}{\log \left(\frac{x^2}{4}\right)}} \left(-2 x+2 x^2+\left(x-x^2\right) \log \left(\frac{x^2}{4}\right)+\left(-1+x+x^2\right) \log ^2\left(\frac{x^2}{4}\right)\right)}{\left(9 x^2-18 x^3+9 x^4\right) \log ^2\left(\frac{x^2}{4}\right)} \, dx","Integrate[((4 - 8*x)*Log[x^2/4]^2 + E^((x - x*Log[x^2/4])/Log[x^2/4])*(-2*x + 2*x^2 + (x - x^2)*Log[x^2/4] + (-1 + x + x^2)*Log[x^2/4]^2))/((9*x^2 - 18*x^3 + 9*x^4)*Log[x^2/4]^2),x]","\frac{e^{-x} \left(4 e^x-e^{\frac{x}{\log \left(\frac{x^2}{4}\right)}}\right)}{9 (x-1) x}","\frac{e^{\frac{x}{\log \left(\frac{x^2}{4}\right)}-x}-4}{9 \left(x-x^2\right)}",1,"(4*E^x - E^(x/Log[x^2/4]))/(9*E^x*(-1 + x)*x)","A",1
3758,1,74,28,0.0461985,"\int \frac{-15+10 x+e^{2 x^4} \left(-5-40 x^4\right)+\log (9)}{\log (9)} \, dx","Integrate[(-15 + 10*x + E^(2*x^4)*(-5 - 40*x^4) + Log[9])/Log[9],x]","\frac{\frac{5 x \Gamma \left(\frac{1}{4},-2 x^4\right)}{4 \sqrt[4]{2} \sqrt[4]{-x^4}}+5 x^2+\frac{5 x^5 \Gamma \left(\frac{5}{4},-2 x^4\right)}{\sqrt[4]{2} \left(-x^4\right)^{5/4}}-15 x+x \log (9)}{\log (9)}","\frac{5 x \left(-e^{2 x^4}+x-\frac{\log (5)}{x}-3\right)}{\log (9)}+x",1,"(-15*x + 5*x^2 + (5*x*Gamma[1/4, -2*x^4])/(4*2^(1/4)*(-x^4)^(1/4)) + (5*x^5*Gamma[5/4, -2*x^4])/(2^(1/4)*(-x^4)^(5/4)) + x*Log[9])/Log[9]","C",1
3759,1,20,29,0.4103707,"\int \frac{e^3 \left(-100 x^3+24 x^4\right)-2 e^3 x^4 \log (4)+2 e^3 x^4 \log (4) \log (x)}{-15625+22500 x-10800 x^2+1728 x^3+\left(1875 x-1800 x^2+432 x^3\right) \log (4) \log (x)+\left(-75 x^2+36 x^3\right) \log ^2(4) \log ^2(x)+x^3 \log ^3(4) \log ^3(x)} \, dx","Integrate[(E^3*(-100*x^3 + 24*x^4) - 2*E^3*x^4*Log[4] + 2*E^3*x^4*Log[4]*Log[x])/(-15625 + 22500*x - 10800*x^2 + 1728*x^3 + (1875*x - 1800*x^2 + 432*x^3)*Log[4]*Log[x] + (-75*x^2 + 36*x^3)*Log[4]^2*Log[x]^2 + x^3*Log[4]^3*Log[x]^3),x]","\frac{e^3 x^4}{(12 x+x \log (4) \log (x)-25)^2}","\frac{e^3 x^2}{\left(\frac{(x-5)^2}{x}-x-\log (4) \log (x)-2\right)^2}",1,"(E^3*x^4)/(-25 + 12*x + x*Log[4]*Log[x])^2","A",1
3760,1,70,29,2.9973902,"\int \frac{96+e^4 (-8-2 x)+24 x+\left(96-8 e^4\right) \log (x)-10 \log ^2(x)}{\left(-96 x-24 x^2+e^4 \left(8 x+2 x^2\right)\right) \log (x)+\left(10 x+3 x^2\right) \log ^2(x)} \, dx","Integrate[(96 + E^4*(-8 - 2*x) + 24*x + (96 - 8*E^4)*Log[x] - 10*Log[x]^2)/((-96*x - 24*x^2 + E^4*(8*x + 2*x^2))*Log[x] + (10*x + 3*x^2)*Log[x]^2),x]","-2 \left(\frac{\log (x)}{2}-\frac{1}{2} \log (3 x+10)+\frac{1}{2} \log (\log (x))\right)-2 \left(\frac{1}{2} \log (3 x+10)-\frac{1}{2} \log \left(-2 e^4 x+24 x-3 x \log (x)-10 \log (x)-8 e^4+96\right)\right)","\log \left(\frac{5}{x}-\frac{\left(12-e^4\right) (x+4)}{x \log (x)}+\frac{3}{2}\right)",1,"-2*(Log[x]/2 - Log[10 + 3*x]/2 + Log[Log[x]]/2) - 2*(Log[10 + 3*x]/2 - Log[96 - 8*E^4 + 24*x - 2*E^4*x - 10*Log[x] - 3*x*Log[x]]/2)","B",1
3761,1,15,16,0.0569649,"\int \frac{4 x-x^2+(1-x) \log (1-x)}{-x+x^2+(-1+x) \log (1-x)} \, dx","Integrate[(4*x - x^2 + (1 - x)*Log[1 - x])/(-x + x^2 + (-1 + x)*Log[1 - x]),x]","3 \log (x+\log (1-x))-x","-x+3 \log (x+\log (1-x))+6",1,"-x + 3*Log[x + Log[1 - x]]","A",1
3762,1,35,33,0.2470617,"\int \frac{6 x^2+6 e^x x^2+\left(-2 x^2+e^x \left(-2 x^2+x^3\right)\right) \log \left(x^2\right)+\left(16-3 x+e^x \left(16+x-3 x^2\right)\right) \log ^2\left(x^2\right)+\left(-2 x^2-2 e^x x^2+\left(x^2+e^x x^2\right) \log \left(x^2\right)+\left(-4-4 e^x\right) \log ^2\left(x^2\right)\right) \log \left(x+e^x x\right)}{9 x^4+9 e^x x^4+\left(72 x^2-54 x^3+e^x \left(72 x^2-54 x^3\right)\right) \log \left(x^2\right)+\left(144-216 x+81 x^2+e^x \left(144-216 x+81 x^2\right)\right) \log ^2\left(x^2\right)+\left(-6 x^4-6 e^x x^4+\left(-48 x^2+36 x^3+e^x \left(-48 x^2+36 x^3\right)\right) \log \left(x^2\right)+\left(-96+144 x-54 x^2+e^x \left(-96+144 x-54 x^2\right)\right) \log ^2\left(x^2\right)\right) \log \left(x+e^x x\right)+\left(x^4+e^x x^4+\left(8 x^2-6 x^3+e^x \left(8 x^2-6 x^3\right)\right) \log \left(x^2\right)+\left(16-24 x+9 x^2+e^x \left(16-24 x+9 x^2\right)\right) \log ^2\left(x^2\right)\right) \log ^2\left(x+e^x x\right)} \, dx","Integrate[(6*x^2 + 6*E^x*x^2 + (-2*x^2 + E^x*(-2*x^2 + x^3))*Log[x^2] + (16 - 3*x + E^x*(16 + x - 3*x^2))*Log[x^2]^2 + (-2*x^2 - 2*E^x*x^2 + (x^2 + E^x*x^2)*Log[x^2] + (-4 - 4*E^x)*Log[x^2]^2)*Log[x + E^x*x])/(9*x^4 + 9*E^x*x^4 + (72*x^2 - 54*x^3 + E^x*(72*x^2 - 54*x^3))*Log[x^2] + (144 - 216*x + 81*x^2 + E^x*(144 - 216*x + 81*x^2))*Log[x^2]^2 + (-6*x^4 - 6*E^x*x^4 + (-48*x^2 + 36*x^3 + E^x*(-48*x^2 + 36*x^3))*Log[x^2] + (-96 + 144*x - 54*x^2 + E^x*(-96 + 144*x - 54*x^2))*Log[x^2]^2)*Log[x + E^x*x] + (x^4 + E^x*x^4 + (8*x^2 - 6*x^3 + E^x*(8*x^2 - 6*x^3))*Log[x^2] + (16 - 24*x + 9*x^2 + E^x*(16 - 24*x + 9*x^2))*Log[x^2]^2)*Log[x + E^x*x]^2),x]","-\frac{x \log \left(x^2\right)}{\left(\log \left(\left(e^x+1\right) x\right)-3\right) \left(x^2+(4-3 x) \log \left(x^2\right)\right)}","\frac{x}{\left(\frac{x^2}{\log \left(x^2\right)}-3 x+4\right) \left(3-\log \left(e^x x+x\right)\right)}",1,"-((x*Log[x^2])/((-3 + Log[(1 + E^x)*x])*(x^2 + (4 - 3*x)*Log[x^2])))","A",1
3763,1,28,29,1.0199583,"\int \frac{48+e^{8 x} (3-x)+80 x+40 x^2-5 x^4-x^5+e^{6 x} \left(24+4 x-4 x^2\right)+e^{4 x} \left(72+48 x-6 x^2-6 x^3\right)+e^{2 x} \left(96+112 x+24 x^2-12 x^3-4 x^4\right)+\left(-112 x-144 x^2-48 x^3+4 x^4+3 x^5+e^{8 x} \left(-25 x+8 x^2\right)+e^{6 x} \left(-164 x-24 x^2+24 x^3\right)+e^{4 x} \left(-384 x-228 x^2+30 x^3+24 x^4\right)+e^{2 x} \left(-368 x-368 x^2-60 x^3+32 x^4+8 x^5\right)\right) \log (x)+\left(54 x-36 x^2+6 x^3\right) \log ^2(x)}{\left(27 x-18 x^2+3 x^3\right) \log ^2(x)} \, dx","Integrate[(48 + E^(8*x)*(3 - x) + 80*x + 40*x^2 - 5*x^4 - x^5 + E^(6*x)*(24 + 4*x - 4*x^2) + E^(4*x)*(72 + 48*x - 6*x^2 - 6*x^3) + E^(2*x)*(96 + 112*x + 24*x^2 - 12*x^3 - 4*x^4) + (-112*x - 144*x^2 - 48*x^3 + 4*x^4 + 3*x^5 + E^(8*x)*(-25*x + 8*x^2) + E^(6*x)*(-164*x - 24*x^2 + 24*x^3) + E^(4*x)*(-384*x - 228*x^2 + 30*x^3 + 24*x^4) + E^(2*x)*(-368*x - 368*x^2 - 60*x^3 + 32*x^4 + 8*x^5))*Log[x] + (54*x - 36*x^2 + 6*x^3)*Log[x]^2)/((27*x - 18*x^2 + 3*x^3)*Log[x]^2),x]","\frac{1}{3} \left(6 x+\frac{\left(x+e^{2 x}+2\right)^4}{(x-3) \log (x)}\right)","2 (x+4)+\frac{\left(x+e^{2 x}+2\right)^4}{3 (x-3) \log (x)}",1,"(6*x + (2 + E^(2*x) + x)^4/((-3 + x)*Log[x]))/3","A",1
3764,1,41,30,0.0038871,"\int \frac{900+90 x+902 x^2-60 x^3-45 x^4+90 x^5-18 x^6}{45 x^5} \, dx","Integrate[(900 + 90*x + 902*x^2 - 60*x^3 - 45*x^4 + 90*x^5 - 18*x^6)/(45*x^5),x]","-\frac{5}{x^4}-\frac{2}{3 x^3}-\frac{x^2}{5}-\frac{451}{45 x^2}+2 x+\frac{4}{3 x}-\log (x)","-\frac{1}{5} \left(\frac{\frac{x}{3}+5}{x^2}-x+5\right)^2-\log (x)+\frac{4}{3}",1,"-5/x^4 - 2/(3*x^3) - 451/(45*x^2) + 4/(3*x) + 2*x - x^2/5 - Log[x]","A",1
3765,1,72,33,0.0746951,"\int \frac{-2 x^2+\left(-2-8 x^2-10 x^4-4 x^6\right) \log \left(\frac{e^{-x^2}}{x}\right)+\left(4 x^2+4 x^4\right) \log ^2\left(\frac{e^{-x^2}}{x}\right)}{x} \, dx","Integrate[(-2*x^2 + (-2 - 8*x^2 - 10*x^4 - 4*x^6)*Log[1/(E^x^2*x)] + (4*x^2 + 4*x^4)*Log[1/(E^x^2*x)]^2)/x,x]","\left(x^2+2\right) x^2 \log ^2\left(\frac{e^{-x^2}}{x}\right)-x^2 \left(x^2+2 \log (x)+1\right)-2 \log \left(\frac{e^{-x^2}}{x}\right) \left(x^2+\log (x)\right)+\log ^2\left(\frac{1}{x}\right)+2 \log \left(\frac{1}{x}\right) \log (x)","-x^2+\left(x^2+1\right)^2 \log ^2\left(\frac{e^{-x^2}}{x}\right)+e^{e^4}",1,"Log[x^(-1)]^2 + x^2*(2 + x^2)*Log[1/(E^x^2*x)]^2 + 2*Log[x^(-1)]*Log[x] - 2*Log[1/(E^x^2*x)]*(x^2 + Log[x]) - x^2*(1 + x^2 + 2*Log[x])","B",1
3766,1,25,23,0.0428556,"\int \frac{-45 e^4+e^x (-9-9 x)+45 \log (3)-9 \log (5)}{4+20 e^4 x+25 e^8 x^2+e^{2 x} x^2+\left(-20 x-50 e^4 x^2\right) \log (3)+25 x^2 \log ^2(3)+\left(4 x+10 e^4 x^2-10 x^2 \log (3)\right) \log (5)+x^2 \log ^2(5)+e^x \left(4 x+10 e^4 x^2-10 x^2 \log (3)+2 x^2 \log (5)\right)} \, dx","Integrate[(-45*E^4 + E^x*(-9 - 9*x) + 45*Log[3] - 9*Log[5])/(4 + 20*E^4*x + 25*E^8*x^2 + E^(2*x)*x^2 + (-20*x - 50*E^4*x^2)*Log[3] + 25*x^2*Log[3]^2 + (4*x + 10*E^4*x^2 - 10*x^2*Log[3])*Log[5] + x^2*Log[5]^2 + E^x*(4*x + 10*E^4*x^2 - 10*x^2*Log[3] + 2*x^2*Log[5])),x]","\frac{9}{e^x x+x \left(5 e^4-\log \left(\frac{243}{5}\right)\right)+2}","\frac{9}{x \left(e^x+5 e^4-5 \log (3)+\log (5)\right)+2}",1,"9/(2 + E^x*x + x*(5*E^4 - Log[243/5]))","A",1
3767,1,20,25,0.1051573,"\int \frac{e^{-x} \left(4 e^x (-2-56 x)+3 x+3 x^2\right)}{8 x^3} \, dx","Integrate[(4*E^x*(-2 - 56*x) + 3*x + 3*x^2)/(8*E^x*x^3),x]","\frac{-3 e^{-x} x+224 x+4}{8 x^2}","\frac{28-\frac{\frac{3 e^{-x} x}{4}-1}{2 x}}{x}",1,"(4 + 224*x - (3*x)/E^x)/(8*x^2)","A",1
3768,1,20,20,0.0414426,"\int \frac{5-640 x+500 x^2+105 x \log (x)}{x-50 x^2+625 x^3} \, dx","Integrate[(5 - 640*x + 500*x^2 + 105*x*Log[x])/(x - 50*x^2 + 625*x^3),x]","\frac{5 (25 (4 x-1) \log (x)+99)}{625 x-25}","\frac{x-4 x \log (x)+\log (x)-4}{\frac{1}{5}-5 x}",1,"(5*(99 + 25*(-1 + 4*x)*Log[x]))/(-25 + 625*x)","A",1
3769,1,42,38,0.2406992,"\int \frac{\exp \left(\frac{-2 e^{2 x}-8 x+e^x (8+2 x)+\left(4 x^2+3 x^3+e^x \left(-4 x-x^2\right)\right) \log (x)}{2 e^x-2 x}\right) \left(-2 e^{3 x}-4 x^2-3 x^3+e^{2 x} (-4+3 x)+e^x \left(8 x+2 x^2\right)+\left(e^{2 x} (-4-2 x)-4 x^2-6 x^3+e^x \left(8 x+10 x^2-2 x^3\right)\right) \log (x)\right)}{2 e^{2 x}-4 e^x x+2 x^2} \, dx","Integrate[(E^((-2*E^(2*x) - 8*x + E^x*(8 + 2*x) + (4*x^2 + 3*x^3 + E^x*(-4*x - x^2))*Log[x])/(2*E^x - 2*x))*(-2*E^(3*x) - 4*x^2 - 3*x^3 + E^(2*x)*(-4 + 3*x) + E^x*(8*x + 2*x^2) + (E^(2*x)*(-4 - 2*x) - 4*x^2 - 6*x^3 + E^x*(8*x + 10*x^2 - 2*x^3))*Log[x]))/(2*E^(2*x) - 4*E^x*x + 2*x^2),x]","e^{4-e^x} x^{\frac{x \left(x (3 x+4)-e^x (x+4)\right)}{2 \left(e^x-x\right)}}","\exp \left(\left(\frac{1}{2} \left(-\frac{4}{x}-1\right)+\frac{x}{e^x-x}\right) x^2 \log (x)-e^x+4\right)",1,"E^(4 - E^x)*x^((x*(-(E^x*(4 + x)) + x*(4 + 3*x)))/(2*(E^x - x)))","A",1
3770,1,50,29,0.1825803,"\int \frac{-320 x+112 x^2-112 x^4+80 x^5-84 x^6+e^{x/4} \left(-480+264 x-188 x^2+40 x^3+12 x^4-46 x^5-7 x^6\right)}{8 x^4} \, dx","Integrate[(-320*x + 112*x^2 - 112*x^4 + 80*x^5 - 84*x^6 + E^(x/4)*(-480 + 264*x - 188*x^2 + 40*x^3 + 12*x^4 - 46*x^5 - 7*x^6))/(8*x^4),x]","-\frac{e^{x/4} (7 x-10) \left(x^2+2\right)^2+x \left(7 x^5-10 x^4+28 x^3+28 x-40\right)}{2 x^3}","\frac{\left(5-\frac{7 x}{2}\right) \left(x+e^{x/4}\right) \left(x+\frac{2}{x}\right)^2}{x}",1,"-1/2*(E^(x/4)*(-10 + 7*x)*(2 + x^2)^2 + x*(-40 + 28*x + 28*x^3 - 10*x^4 + 7*x^5))/x^3","A",1
3771,1,17,21,0.187489,"\int \frac{-20 x-10 \log (x)-10 \log (2 x)}{12 x^3+12 x^2 \log (x) \log (2 x)+3 x \log ^2(x) \log ^2(2 x)} \, dx","Integrate[(-20*x - 10*Log[x] - 10*Log[2*x])/(12*x^3 + 12*x^2*Log[x]*Log[2*x] + 3*x*Log[x]^2*Log[2*x]^2),x]","\frac{10}{3 (2 x+\log (x) \log (2 x))}","\frac{10}{3 x \left(\frac{\log (x) \log (2 x)}{x}+2\right)}",1,"10/(3*(2*x + Log[x]*Log[2*x]))","A",1
3772,1,17,26,0.3654048,"\int \frac{36 x+348 x^2+841 x^3+e^x \left(-92 x+116 x^2\right)+\left(36 x+348 x^2+841 x^3+e^x (24+116 x)\right) \log \left(\frac{4 e^x+6 x+29 x^2}{6+29 x}\right)}{36 x+348 x^2+841 x^3+e^x (24+116 x)} \, dx","Integrate[(36*x + 348*x^2 + 841*x^3 + E^x*(-92*x + 116*x^2) + (36*x + 348*x^2 + 841*x^3 + E^x*(24 + 116*x))*Log[(4*E^x + 6*x + 29*x^2)/(6 + 29*x)])/(36*x + 348*x^2 + 841*x^3 + E^x*(24 + 116*x)),x]","x \log \left(x+\frac{4 e^x}{29 x+6}\right)","x \log \left(x+\frac{e^x}{2 x+5 \left(x+\frac{x+6}{20}\right)}\right)",1,"x*Log[x + (4*E^x)/(6 + 29*x)]","A",1
3773,1,21,22,0.1572134,"\int \frac{\exp \left(\frac{1}{2} \left(-1-\left(-10 x^2+2 x^3\right) \log (\log (\log (x)))\right)\right) \left(5 x-x^2+\left(10 x-3 x^2\right) \log (x) \log (\log (x)) \log (\log (\log (x)))\right)}{20 \log (x) \log (\log (x))} \, dx","Integrate[(E^((-1 - (-10*x^2 + 2*x^3)*Log[Log[Log[x]]])/2)*(5*x - x^2 + (10*x - 3*x^2)*Log[x]*Log[Log[x]]*Log[Log[Log[x]]]))/(20*Log[x]*Log[Log[x]]),x]","\frac{\log ^{-\left((x-5) x^2\right)}(\log (x))}{20 \sqrt{e}}","\frac{1}{20} e^{-\left((x-5) x^2 \log (\log (\log (x)))\right)-\frac{1}{2}}",1,"1/(20*Sqrt[E]*Log[Log[x]]^((-5 + x)*x^2))","A",1
3774,1,21,26,0.005903,"\int \left(-3+30 x-12 x^2+e^{3 x} (1+3 x)\right) \, dx","Integrate[-3 + 30*x - 12*x^2 + E^(3*x)*(1 + 3*x),x]","-4 x^3+15 x^2+e^{3 x} x-3 x","-x \left(-4 (4-x) x+x-e^{3 x}+3\right)+e^2-6",1,"-3*x + E^(3*x)*x + 15*x^2 - 4*x^3","A",1
3775,1,28,31,0.2242134,"\int \frac{16-32 x^2-44 x^4-12 x^6+e^{\frac{9 x}{2+x^2}} \left(-18+9 x^2\right)+\left(32+32 x^2+8 x^4\right) \log (x)}{4+4 x^2+x^4} \, dx","Integrate[(16 - 32*x^2 - 44*x^4 - 12*x^6 + E^((9*x)/(2 + x^2))*(-18 + 9*x^2) + (32 + 32*x^2 + 8*x^4)*Log[x])/(4 + 4*x^2 + x^4),x]","-4 x^3-e^{\frac{9 x}{x^2+2}}-4 x+8 x \log (x)","4 x \left(-x^2+2 \log (x)-1\right)-e^{\frac{9}{x+\frac{2}{x}}}+2",1,"-E^((9*x)/(2 + x^2)) - 4*x - 4*x^3 + 8*x*Log[x]","A",1
3776,1,15,28,0.2177636,"\int \frac{-3-2 x+2 x \log (x)+\log ^2(x)}{9 x+12 x^2+4 x^3+\left(6 x+4 x^2\right) \log ^2(x)+x \log ^4(x)} \, dx","Integrate[(-3 - 2*x + 2*x*Log[x] + Log[x]^2)/(9*x + 12*x^2 + 4*x^3 + (6*x + 4*x^2)*Log[x]^2 + x*Log[x]^4),x]","-\frac{\log (x)}{2 x+\log ^2(x)+3}","-\frac{\log (x)}{2 x+\log ^2(x)+3}+\left(e^2-1\right)^2-e^3",1,"-(Log[x]/(3 + 2*x + Log[x]^2))","A",1
3777,1,21,22,0.4180518,"\int \frac{\exp \left(\frac{x+(9-x) \log \left(\frac{1}{4} (x+x \log (2))\right)}{\log \left(\frac{1}{4} (x+x \log (2))\right)}\right) \left(-1+\log \left(\frac{1}{4} (x+x \log (2))\right)-\log ^2\left(\frac{1}{4} (x+x \log (2))\right)\right)}{\log ^2\left(\frac{1}{4} (x+x \log (2))\right)} \, dx","Integrate[(E^((x + (9 - x)*Log[(x + x*Log[2])/4])/Log[(x + x*Log[2])/4])*(-1 + Log[(x + x*Log[2])/4] - Log[(x + x*Log[2])/4]^2))/Log[(x + x*Log[2])/4]^2,x]","e^{-x+\frac{x}{\log \left(\frac{1}{4} x (1+\log (2))\right)}+9}","e^{-x+\frac{x}{\log \left(\frac{1}{4} (x+x \log (2))\right)}+9}",1,"E^(9 - x + x/Log[(x*(1 + Log[2]))/4])","A",1
3778,1,37,30,1.0507697,"\int \frac{1}{5} e^{-x} \left(4+e^x (30-10 x)-4 x+e^{e^{e^{-x} (4+x)}} \left(5 e^x+e^{e^{-x} (4+x)} \left(-15 x-5 x^2\right)\right)\right) \, dx","Integrate[(4 + E^x*(30 - 10*x) - 4*x + E^E^((4 + x)/E^x)*(5*E^x + E^((4 + x)/E^x)*(-15*x - 5*x^2)))/(5*E^x),x]","\frac{1}{5} \left(-5 x^2+5 e^{e^{e^{-x} (x+4)}} x+4 e^{-x} x+30 x\right)","-x \left(x-e^{e^{e^{-x} (x+4)}}-\frac{4 e^{-x}}{5}-6\right)",1,"(30*x + 5*E^E^((4 + x)/E^x)*x + (4*x)/E^x - 5*x^2)/5","A",1
3779,1,36,34,0.1180422,"\int \frac{e^{-2 e^3} \left(-e^{2 e^3} x \log (4)+e^{2 e^3} (2+x) \log (4) \log (2+x)+\left(8 x+4 x^2+e^{2 e^3} (-4-2 x+(-2-x) \log (4))\right) \log ^2(2+x)\right)}{(2+x) \log (4) \log ^2(2+x)} \, dx","Integrate[(-(E^(2*E^3)*x*Log[4]) + E^(2*E^3)*(2 + x)*Log[4]*Log[2 + x] + (8*x + 4*x^2 + E^(2*E^3)*(-4 - 2*x + (-2 - x)*Log[4]))*Log[2 + x]^2)/(E^(2*E^3)*(2 + x)*Log[4]*Log[2 + x]^2),x]","\frac{2 e^{-2 e^3} x^2}{\log (4)}+\frac{x}{\log (x+2)}-\frac{x (2+\log (4))}{\log (4)}","\frac{2 \left(e^{-2 e^3} x^2-x\right)}{\log (4)}-x+\frac{x}{\log (x+2)}+2",1,"(2*x^2)/(E^(2*E^3)*Log[4]) - (x*(2 + Log[4]))/Log[4] + x/Log[2 + x]","A",1
3780,1,23,23,0.2880806,"\int \frac{e^{2-e^{10}+e^{\frac{2 x}{-6+2 e^{x^2}}}+x} \left(9-6 e^{x^2}+e^{2 x^2}+e^{\frac{2 x}{-6+2 e^{x^2}}} \left(-3+e^{x^2} \left(1-2 x^2\right)\right)\right)}{9-6 e^{x^2}+e^{2 x^2}} \, dx","Integrate[(E^(2 - E^10 + E^((2*x)/(-6 + 2*E^x^2)) + x)*(9 - 6*E^x^2 + E^(2*x^2) + E^((2*x)/(-6 + 2*E^x^2))*(-3 + E^x^2*(1 - 2*x^2))))/(9 - 6*E^x^2 + E^(2*x^2)),x]","e^{e^{\frac{x}{e^{x^2}-3}}+x-e^{10}+2}","e^{e^{\frac{x}{e^{x^2}-3}}+x-e^{10}+2}",1,"E^(2 - E^10 + E^(x/(-3 + E^x^2)) + x)","A",1
3781,1,16,16,0.1031348,"\int \frac{16 e^{4+2 e^{4+2 x}+2 x}}{-4+e^{2 e^{4+2 x}}} \, dx","Integrate[(16*E^(4 + 2*E^(4 + 2*x) + 2*x))/(-4 + E^(2*E^(4 + 2*x))),x]","4 \log \left(e^{2 e^{2 x+4}}-4\right)","\log \left(\left(e^{2 e^{2 x+4}}-4\right)^4\right)",1,"4*Log[-4 + E^(2*E^(4 + 2*x))]","A",1
3782,1,55,33,0.149384,"\int \frac{-192+64 x-96 x^3+32 x^4+e^x \left(-128 x+64 x^2+32 x^4-16 x^5\right)+e^{x^2} \left(-30 x^3+10 x^4+e^x \left(10 x^2-5 x^3\right)\right)+\left(-64 x+5 e^{x^2} x^2+16 x^4\right) \log \left(\frac{64-5 e^{x^2} x-16 x^3}{16 x}\right)}{-64 x+5 e^{x^2} x^2+16 x^4} \, dx","Integrate[(-192 + 64*x - 96*x^3 + 32*x^4 + E^x*(-128*x + 64*x^2 + 32*x^4 - 16*x^5) + E^x^2*(-30*x^3 + 10*x^4 + E^x*(10*x^2 - 5*x^3)) + (-64*x + 5*E^x^2*x^2 + 16*x^4)*Log[(64 - 5*E^x^2*x - 16*x^3)/(16*x)])/(-64*x + 5*E^x^2*x^2 + 16*x^4),x]","x \log \left(-x^2-\frac{5 e^{x^2}}{16}+\frac{4}{x}\right)-3 \log \left(-16 x^3-5 e^{x^2} x+64\right)+e^x (3-x)+3 \log (x)","(3-x) \left(e^x-\log \left(-x^2-\frac{5 e^{x^2}}{16}+\frac{4}{x}\right)\right)",1,"E^x*(3 - x) + 3*Log[x] + x*Log[(-5*E^x^2)/16 + 4/x - x^2] - 3*Log[64 - 5*E^x^2*x - 16*x^3]","A",1
3783,1,628,25,0.8375575,"\int \frac{\left(27 x-27 x^3+9 x^5-x^7\right) \log ^5(2)+\left(135 x^2-135 x^4+45 x^6-5 x^8\right) \log ^4(2) \log (x)+\left(270 x^3-270 x^5+90 x^7-10 x^9\right) \log ^3(2) \log ^2(x)+\left(\left(-108+36 x^2\right) \log (2)+\left(270 x^4-270 x^6+90 x^8-10 x^{10}\right) \log ^2(2)\right) \log ^3(x)+\left(-36 x^2+135 x^5-135 x^7+45 x^9-5 x^{11}\right) \log (2) \log ^4(x)+\left(108 x-72 x^3+27 x^6-27 x^8+9 x^{10}-x^{12}\right) \log ^5(x)}{\left(-27 x+27 x^3-9 x^5+x^7\right) \log ^5(2)+\left(-135 x^2+135 x^4-45 x^6+5 x^8\right) \log ^4(2) \log (x)+\left(-270 x^3+270 x^5-90 x^7+10 x^9\right) \log ^3(2) \log ^2(x)+\left(-270 x^4+270 x^6-90 x^8+10 x^{10}\right) \log ^2(2) \log ^3(x)+\left(-135 x^5+135 x^7-45 x^9+5 x^{11}\right) \log (2) \log ^4(x)+\left(-27 x^6+27 x^8-9 x^{10}+x^{12}\right) \log ^5(x)} \, dx","Integrate[((27*x - 27*x^3 + 9*x^5 - x^7)*Log[2]^5 + (135*x^2 - 135*x^4 + 45*x^6 - 5*x^8)*Log[2]^4*Log[x] + (270*x^3 - 270*x^5 + 90*x^7 - 10*x^9)*Log[2]^3*Log[x]^2 + ((-108 + 36*x^2)*Log[2] + (270*x^4 - 270*x^6 + 90*x^8 - 10*x^10)*Log[2]^2)*Log[x]^3 + (-36*x^2 + 135*x^5 - 135*x^7 + 45*x^9 - 5*x^11)*Log[2]*Log[x]^4 + (108*x - 72*x^3 + 27*x^6 - 27*x^8 + 9*x^10 - x^12)*Log[x]^5)/((-27*x + 27*x^3 - 9*x^5 + x^7)*Log[2]^5 + (-135*x^2 + 135*x^4 - 45*x^6 + 5*x^8)*Log[2]^4*Log[x] + (-270*x^3 + 270*x^5 - 90*x^7 + 10*x^9)*Log[2]^3*Log[x]^2 + (-270*x^4 + 270*x^6 - 90*x^8 + 10*x^10)*Log[2]^2*Log[x]^3 + (-135*x^5 + 135*x^7 - 45*x^9 + 5*x^11)*Log[2]*Log[x]^4 + (-27*x^6 + 27*x^8 - 9*x^10 + x^12)*Log[x]^5),x]","\frac{1}{x^4}-\frac{2}{3 \left(x^2-3\right)}+\frac{1}{\left(x^2-3\right)^2}+\frac{2}{3 x^2}+\frac{9 \log ^4(2)}{\left(x^2-3\right)^2 x^4 (x \log (x)+\log (2))^4}-\frac{36 \log ^3(2)}{\left(x^2-3\right)^2 x^4 (x \log (x)+\log (2))^3}-\frac{3 \log ^2(2) \left(x^9 \left(-36-155 \log ^5(2)+31 \log ^4(2) \log (32)\right)+180 x^8 \log (2)-72 x^7 \left(5 \log ^2(2)-3\right)+360 x^6 \left(\log ^3(2)-\log (8)\right)-36 x^5 \left(9+5 \log ^4(2)-60 \log ^2(2)\right)+36 x^4 \log (2) \left(45+\log ^4(2)-60 \log ^2(2)\right)+1080 x^3 \log ^2(2) \left(\log ^2(2)-3\right)-216 x^2 \log ^3(2) \left(\log ^2(2)-15\right)-1620 x \log ^4(2)+324 \log ^5(2)\right)}{2 \left(x^2-3\right)^4 x^4 (x-\log (2))^5 (x \log (x)+\log (2))^2}-x-\frac{3 \log (2) \left(x^{13} \left(48-50 \log ^7(2)+10 \log ^6(2) \log (32)+6635 \log ^5(2)-1327 \log ^4(2) \log (32)-11520 \log ^3(2)+2304 \log ^2(2) \log (32)\right)-4 x^{12} \log (2) \left(84+505 \log ^5(2)-101 \log ^4(2) \log (32)-5310 \log ^3(2)+1062 \log ^2(2) \log (32)\right)+3 x^{11} \left(-144+70 \log ^7(2)-14 \log ^6(2) \log (32)-7385 \log ^5(2)+1477 \log ^4(2) \log (32)+336 \log ^2(2)\right)+48 x^{10} \log (2) \left(63+260 \log ^5(2)-52 \log ^4(2) \log (32)-35 \log ^2(2)\right)-6 x^9 \left(-216+525 \log ^7(2)-105 \log ^6(2) \log (32)-280 \log ^4(2)+1512 \log ^2(2)\right)-1008 x^8 \left(\log ^5(2)-15 \log ^3(2)+\log (512)\right)+48 x^7 \left(-27+7 \log ^6(2)-315 \log ^4(2)+567 \log ^2(2)\right)-48 x^6 \log (2) \left(-189+\log ^6(2)-189 \log ^4(2)+945 \log ^2(2)\right)-3024 x^5 \log ^2(2) \left(9+\log ^4(2)-15 \log ^2(2)\right)+432 x^4 \log ^3(2) \left(105+\log ^4(2)-63 \log ^2(2)\right)+9072 x^3 \log ^4(2) \left(\log ^2(2)-5\right)-1296 x^2 \log ^5(2) \left(\log ^2(2)-21\right)-9072 x \log ^6(2)+1296 \log ^7(2)\right)}{4 \left(x^2-3\right)^5 x^4 (x-\log (2))^7 (x \log (x)+\log (2))}","\frac{9}{\left(x^2-3\right)^2 \left(x+\frac{\log (2)}{\log (x)}\right)^4}-x+4",1,"x^(-4) + 2/(3*x^2) - x + (-3 + x^2)^(-2) - 2/(3*(-3 + x^2)) + (9*Log[2]^4)/(x^4*(-3 + x^2)^2*(Log[2] + x*Log[x])^4) - (36*Log[2]^3)/(x^4*(-3 + x^2)^2*(Log[2] + x*Log[x])^3) - (3*Log[2]^2*(180*x^8*Log[2] - 1620*x*Log[2]^4 + 324*Log[2]^5 - 216*x^2*Log[2]^3*(-15 + Log[2]^2) + 1080*x^3*Log[2]^2*(-3 + Log[2]^2) - 72*x^7*(-3 + 5*Log[2]^2) + 36*x^4*Log[2]*(45 - 60*Log[2]^2 + Log[2]^4) - 36*x^5*(9 - 60*Log[2]^2 + 5*Log[2]^4) + 360*x^6*(Log[2]^3 - Log[8]) + x^9*(-36 - 155*Log[2]^5 + 31*Log[2]^4*Log[32])))/(2*x^4*(-3 + x^2)^4*(x - Log[2])^5*(Log[2] + x*Log[x])^2) - (3*Log[2]*(-9072*x*Log[2]^6 + 1296*Log[2]^7 - 1296*x^2*Log[2]^5*(-21 + Log[2]^2) + 9072*x^3*Log[2]^4*(-5 + Log[2]^2) + 432*x^4*Log[2]^3*(105 - 63*Log[2]^2 + Log[2]^4) - 3024*x^5*Log[2]^2*(9 - 15*Log[2]^2 + Log[2]^4) - 48*x^6*Log[2]*(-189 + 945*Log[2]^2 - 189*Log[2]^4 + Log[2]^6) + 48*x^7*(-27 + 567*Log[2]^2 - 315*Log[2]^4 + 7*Log[2]^6) - 4*x^12*Log[2]*(84 - 5310*Log[2]^3 + 505*Log[2]^5 + 1062*Log[2]^2*Log[32] - 101*Log[2]^4*Log[32]) + 48*x^10*Log[2]*(63 - 35*Log[2]^2 + 260*Log[2]^5 - 52*Log[2]^4*Log[32]) - 6*x^9*(-216 + 1512*Log[2]^2 - 280*Log[2]^4 + 525*Log[2]^7 - 105*Log[2]^6*Log[32]) + 3*x^11*(-144 + 336*Log[2]^2 - 7385*Log[2]^5 + 70*Log[2]^7 + 1477*Log[2]^4*Log[32] - 14*Log[2]^6*Log[32]) + x^13*(48 - 11520*Log[2]^3 + 6635*Log[2]^5 - 50*Log[2]^7 + 2304*Log[2]^2*Log[32] - 1327*Log[2]^4*Log[32] + 10*Log[2]^6*Log[32]) - 1008*x^8*(-15*Log[2]^3 + Log[2]^5 + Log[512])))/(4*x^4*(-3 + x^2)^5*(x - Log[2])^7*(Log[2] + x*Log[x]))","B",0
3784,1,16,17,0.0324199,"\int \left(-3+2 x+5 x^4+e^{-3 x-x^2} \left(1-3 x-2 x^2\right)\right) \, dx","Integrate[-3 + 2*x + 5*x^4 + E^(-3*x - x^2)*(1 - 3*x - 2*x^2),x]","x \left(x^4+x+e^{-x (x+3)}-3\right)","x \left(x^4+x+e^{(-x-3) x}-3\right)",1,"x*(-3 + E^(-(x*(3 + x))) + x + x^4)","A",1
3785,1,16,15,0.0422669,"\int \frac{2+6 x+9 x^2+e^x \left(1+6 x+9 x^2\right)}{1+6 x+9 x^2} \, dx","Integrate[(2 + 6*x + 9*x^2 + E^x*(1 + 6*x + 9*x^2))/(1 + 6*x + 9*x^2),x]","x+e^x-\frac{1}{3 (3 x+1)}","\frac{x}{3 x+1}+x+e^x-15",1,"E^x + x - 1/(3*(1 + 3*x))","A",1
3786,1,21,24,0.1824475,"\int \frac{64-16 x^2+e^x \left(-256-512 x+64 x^2-128 x^3\right)}{-x^2+12 e^x x^2-48 e^{2 x} x^2+64 e^{3 x} x^2} \, dx","Integrate[(64 - 16*x^2 + E^x*(-256 - 512*x + 64*x^2 - 128*x^3))/(-x^2 + 12*E^x*x^2 - 48*E^(2*x)*x^2 + 64*E^(3*x)*x^2),x]","-\frac{16 \left(-x^2-4\right)}{\left(4 e^x-1\right)^2 x}","\frac{\left(x^2+3\right) x+x}{\left(\frac{1}{4}-e^x\right)^2 x^2}",1,"(-16*(-4 - x^2))/((-1 + 4*E^x)^2*x)","A",1
3787,1,21,28,0.2153638,"\int \frac{1}{2} e^{\frac{1}{6} (4-9 x)} \left(10 e^{5 x+\frac{1}{6} (-4+9 x)}+e^{e^{\frac{1}{6} (4-9 x)} x} (2-3 x)\right) \, dx","Integrate[(E^((4 - 9*x)/6)*(10*E^(5*x + (-4 + 9*x)/6) + E^(E^((4 - 9*x)/6)*x)*(2 - 3*x)))/2,x]","e^{5 x}+e^{e^{\frac{2}{3}-\frac{3 x}{2}} x}","e^{5 x}+e^{e^{\frac{1}{2} \left(\frac{4}{3}-x\right)-x} x}+25",1,"E^(5*x) + E^(E^(2/3 - (3*x)/2)*x)","A",1
3788,1,44,26,0.3501767,"\int \frac{e^{\frac{-6+5 e^{10} x-5 x \log (25 x)}{-10+5 x}} \left(16-10 e^{10}-5 x+10 \log (25 x)\right)}{20-20 x+5 x^2} \, dx","Integrate[(E^((-6 + 5*E^10*x - 5*x*Log[25*x])/(-10 + 5*x))*(16 - 10*E^10 - 5*x + 10*Log[25*x]))/(20 - 20*x + 5*x^2),x]","5^{\frac{x+2}{2-x}-1} e^{\frac{6-5 e^{10} x}{10-5 x}} x^{-\frac{x}{x-2}}","e^{\frac{x \left(-\frac{6}{5 x}-\log (25 x)+e^{10}\right)}{x-2}}",1,"(5^(-1 + (2 + x)/(2 - x))*E^((6 - 5*E^10*x)/(10 - 5*x)))/x^(x/(-2 + x))","A",1
3789,1,23,23,1.3513985,"\int \frac{\exp \left(-\frac{256 x^2+6561 \log (x)+279936 \log ^3(x)+5225472 \log ^5(x)+55738368 \log ^7(x)+371589120 \log ^9(x)+1585446912 \log ^{11}(x)+4227858432 \log ^{13}(x)+6442450944 \log ^{15}(x)+4294967296 \log ^{17}(x)}{6561+279936 \log ^2(x)+5225472 \log ^4(x)+55738368 \log ^6(x)+371589120 \log ^8(x)+1585446912 \log ^{10}(x)+4227858432 \log ^{12}(x)+6442450944 \log ^{14}(x)+4294967296 \log ^{16}(x)}\right) \left(e^x \left(-39366+19683 x-1536 x^2\right)+65536 e^x x^2 \log (x)+e^x \left(-1889568+944784 x-8192 x^2\right) \log ^2(x)+e^x (-40310784+20155392 x) \log ^4(x)+e^x (-501645312+250822656 x) \log ^6(x)+e^x (-4013162496+2006581248 x) \log ^8(x)+e^x (-21403533312+10701766656 x) \log ^{10}(x)+e^x (-76101451776+38050725888 x) \log ^{12}(x)+e^x (-173946175488+86973087744 x) \log ^{14}(x)+e^x (-231928233984+115964116992 x) \log ^{16}(x)+e^x (-137438953472+68719476736 x) \log ^{18}(x)\right)}{19683 x^2+944784 x^2 \log ^2(x)+20155392 x^2 \log ^4(x)+250822656 x^2 \log ^6(x)+2006581248 x^2 \log ^8(x)+10701766656 x^2 \log ^{10}(x)+38050725888 x^2 \log ^{12}(x)+86973087744 x^2 \log ^{14}(x)+115964116992 x^2 \log ^{16}(x)+68719476736 x^2 \log ^{18}(x)} \, dx","Integrate[(E^x*(-39366 + 19683*x - 1536*x^2) + 65536*E^x*x^2*Log[x] + E^x*(-1889568 + 944784*x - 8192*x^2)*Log[x]^2 + E^x*(-40310784 + 20155392*x)*Log[x]^4 + E^x*(-501645312 + 250822656*x)*Log[x]^6 + E^x*(-4013162496 + 2006581248*x)*Log[x]^8 + E^x*(-21403533312 + 10701766656*x)*Log[x]^10 + E^x*(-76101451776 + 38050725888*x)*Log[x]^12 + E^x*(-173946175488 + 86973087744*x)*Log[x]^14 + E^x*(-231928233984 + 115964116992*x)*Log[x]^16 + E^x*(-137438953472 + 68719476736*x)*Log[x]^18)/(E^((256*x^2 + 6561*Log[x] + 279936*Log[x]^3 + 5225472*Log[x]^5 + 55738368*Log[x]^7 + 371589120*Log[x]^9 + 1585446912*Log[x]^11 + 4227858432*Log[x]^13 + 6442450944*Log[x]^15 + 4294967296*Log[x]^17)/(6561 + 279936*Log[x]^2 + 5225472*Log[x]^4 + 55738368*Log[x]^6 + 371589120*Log[x]^8 + 1585446912*Log[x]^10 + 4227858432*Log[x]^12 + 6442450944*Log[x]^14 + 4294967296*Log[x]^16))*(19683*x^2 + 944784*x^2*Log[x]^2 + 20155392*x^2*Log[x]^4 + 250822656*x^2*Log[x]^6 + 2006581248*x^2*Log[x]^8 + 10701766656*x^2*Log[x]^10 + 38050725888*x^2*Log[x]^12 + 86973087744*x^2*Log[x]^14 + 115964116992*x^2*Log[x]^16 + 68719476736*x^2*Log[x]^18)),x]","\frac{e^{x-\frac{256 x^2}{\left(16 \log ^2(x)+3\right)^8}}}{x^2}","\frac{e^{x-\frac{256 x^2}{\left(16 \log ^2(x)+3\right)^8}}}{x^2}",1,"E^(x - (256*x^2)/(3 + 16*Log[x]^2)^8)/x^2","A",1
3790,1,44,31,0.0979873,"\int \frac{-8 e^{2 x}-8 x^2-32 x^3+x^4+e^x \left(16 x+44 x^2-13 x^3\right)+\left(3 x^4+e^x \left(-4 x^3+x^4\right)\right) \log (x)+\left(-8 x^3+e^x \left(12 x^2-4 x^3\right)\right) \log \left(x^2\right)}{2 e^{2 x}-4 e^x x+2 x^2} \, dx","Integrate[(-8*E^(2*x) - 8*x^2 - 32*x^3 + x^4 + E^x*(16*x + 44*x^2 - 13*x^3) + (3*x^4 + E^x*(-4*x^3 + x^4))*Log[x] + (-8*x^3 + E^x*(12*x^2 - 4*x^3))*Log[x^2])/(2*E^(2*x) - 4*E^x*x + 2*x^2),x]","\frac{x \left(x^3 (-\log (x))+12 x^2+4 x^2 \log \left(x^2\right)+8 x-8 e^x\right)}{2 \left(e^x-x\right)}","2 x \left(\frac{x^2 \left(\log \left(x^2\right)-\frac{1}{4} x \log (x)+3\right)}{e^x-x}-2\right)",1,"(x*(-8*E^x + 8*x + 12*x^2 - x^3*Log[x] + 4*x^2*Log[x^2]))/(2*(E^x - x))","A",1
3791,1,21,16,0.002176,"\int \frac{64-16 e^9+32 x}{\log (\log (4))} \, dx","Integrate[(64 - 16*E^9 + 32*x)/Log[Log[4]],x]","-\frac{16 \left(-x^2+e^9 x-4 x\right)}{\log (\log (4))}","\frac{16 x \left(x-e^9+4\right)}{\log (\log (4))}",1,"(-16*(-4*x + E^9*x - x^2))/Log[Log[4]]","A",1
3792,1,17,18,0.0430733,"\int \frac{1+\left(8+2 x-16 x^3-4 x^4\right) \log ^2(4+x)}{(4+x) \log ^2(4+x)} \, dx","Integrate[(1 + (8 + 2*x - 16*x^3 - 4*x^4)*Log[4 + x]^2)/((4 + x)*Log[4 + x]^2),x]","-x^4+2 x-\frac{1}{\log (x+4)}","-x^4+2 x-\frac{1}{\log (x+4)}+2",1,"2*x - x^4 - Log[4 + x]^(-1)","A",1
3793,1,24,26,0.1564795,"\int \frac{6 e^x+\left(-12 e^x-3 e^x \log \left(x^2\right)\right) \log \left(4+\log \left(x^2\right)\right)+\left(e^x \left(-24 x+12 x^2\right)+e^x \left(-6 x+3 x^2\right) \log \left(x^2\right)+\left(e^x (-24+12 x)+e^x (-6+3 x) \log \left(x^2\right)\right) \log \left(4+\log \left(x^2\right)\right)\right) \log \left(\frac{x}{x+\log \left(4+\log \left(x^2\right)\right)}\right)}{\left(4 x^4+x^4 \log \left(x^2\right)+\left(4 x^3+x^3 \log \left(x^2\right)\right) \log \left(4+\log \left(x^2\right)\right)\right) \log ^2\left(\frac{x}{x+\log \left(4+\log \left(x^2\right)\right)}\right)} \, dx","Integrate[(6*E^x + (-12*E^x - 3*E^x*Log[x^2])*Log[4 + Log[x^2]] + (E^x*(-24*x + 12*x^2) + E^x*(-6*x + 3*x^2)*Log[x^2] + (E^x*(-24 + 12*x) + E^x*(-6 + 3*x)*Log[x^2])*Log[4 + Log[x^2]])*Log[x/(x + Log[4 + Log[x^2]])])/((4*x^4 + x^4*Log[x^2] + (4*x^3 + x^3*Log[x^2])*Log[4 + Log[x^2]])*Log[x/(x + Log[4 + Log[x^2]])]^2),x]","\frac{3 e^x}{x^2 \log \left(\frac{x}{\log \left(\log \left(x^2\right)+4\right)+x}\right)}","\frac{3 e^x}{x^2 \log \left(\frac{x}{\log \left(\log \left(x^2\right)+4\right)+x}\right)}+4",1,"(3*E^x)/(x^2*Log[x/(x + Log[4 + Log[x^2]])])","A",1
3794,1,29,36,0.1634882,"\int \frac{-4-2 x+2 x^3+\left(-2-2 x^2\right) \log (5)+e^x \left(-4+2 x+2 x^2+(-2-2 x) \log (5)\right)}{-x-x^2+(1+x) \log (5)+e^x (-x+\log (5))} \, dx","Integrate[(-4 - 2*x + 2*x^3 + (-2 - 2*x^2)*Log[5] + E^x*(-4 + 2*x + 2*x^2 + (-2 - 2*x)*Log[5]))/(-x - x^2 + (1 + x)*Log[5] + E^x*(-x + Log[5])),x]","2 \left(-\frac{x^2}{2}+x-2 \log \left(x+e^x+1\right)+2 \log (x-\log (5))\right)","-x^2-2 x+4 \left(x+\log \left(\frac{x-\log (5)}{5 \left(-x-e^x-1\right)}\right)\right)",1,"2*(x - x^2/2 - 2*Log[1 + E^x + x] + 2*Log[x - Log[5]])","A",1
3795,1,23,23,0.9249236,"\int \frac{4-9 x+8 x^2-x^3-e^6 x \log (3)+x \log (x)}{16 x+8 x^2-7 x^3-2 x^4+x^5+e^6 \left(8 x+2 x^2-2 x^3\right) \log (3)+e^{12} x \log ^2(3)+\left(-8 x-2 x^2+2 x^3-2 e^6 x \log (3)\right) \log (x)+x \log ^2(x)} \, dx","Integrate[(4 - 9*x + 8*x^2 - x^3 - E^6*x*Log[3] + x*Log[x])/(16*x + 8*x^2 - 7*x^3 - 2*x^4 + x^5 + E^6*(8*x + 2*x^2 - 2*x^3)*Log[3] + E^12*x*Log[3]^2 + (-8*x - 2*x^2 + 2*x^3 - 2*E^6*x*Log[3])*Log[x] + x*Log[x]^2),x]","\frac{x-4}{x^2-x+\log (x)-4-e^6 \log (3)}","\frac{x-4}{x^2-x+\log (x)-4-e^6 \log (3)}",1,"(-4 + x)/(-4 - x + x^2 - E^6*Log[3] + Log[x])","A",1
3796,1,26,28,0.0844322,"\int \frac{-4+4 x+60 x^2-448 x^3+\left(-12 x-64 x^2\right) \log (x)+\left(32+136 x-336 x^2+(-8-48 x) \log (x)\right) \log (4-7 x-\log (x))}{-4 x^5-25 x^6-8 x^7+112 x^8+\left(x^5+8 x^6+16 x^7\right) \log (x)+\left(-8 x^4-50 x^5-16 x^6+224 x^7+\left(2 x^4+16 x^5+32 x^6\right) \log (x)\right) \log (4-7 x-\log (x))+\left(-4 x^3-25 x^4-8 x^5+112 x^6+\left(x^3+8 x^4+16 x^5\right) \log (x)\right) \log ^2(4-7 x-\log (x))} \, dx","Integrate[(-4 + 4*x + 60*x^2 - 448*x^3 + (-12*x - 64*x^2)*Log[x] + (32 + 136*x - 336*x^2 + (-8 - 48*x)*Log[x])*Log[4 - 7*x - Log[x]])/(-4*x^5 - 25*x^6 - 8*x^7 + 112*x^8 + (x^5 + 8*x^6 + 16*x^7)*Log[x] + (-8*x^4 - 50*x^5 - 16*x^6 + 224*x^7 + (2*x^4 + 16*x^5 + 32*x^6)*Log[x])*Log[4 - 7*x - Log[x]] + (-4*x^3 - 25*x^4 - 8*x^5 + 112*x^6 + (x^3 + 8*x^4 + 16*x^5)*Log[x])*Log[4 - 7*x - Log[x]]^2),x]","\frac{4}{x^2 (4 x+1) (x+\log (-7 x-\log (x)+4))}","\frac{4}{x \left(4 x^2+x\right) (x+\log (-7 x-\log (x)+4))}",1,"4/(x^2*(1 + 4*x)*(x + Log[4 - 7*x - Log[x]]))","A",1
3797,1,24,25,0.0601001,"\int \frac{-28+13 x^2+8 x^3-2 x^4+\left(28+16 x-15 x^2-4 x^3+2 x^4\right) \log \left(\frac{7+4 x-2 x^2}{-4 x+x^3}\right) \log \left(\log \left(\frac{7+4 x-2 x^2}{-4 x+x^3}\right)\right)}{\left(28+16 x-15 x^2-4 x^3+2 x^4\right) \log \left(\frac{7+4 x-2 x^2}{-4 x+x^3}\right)} \, dx","Integrate[(-28 + 13*x^2 + 8*x^3 - 2*x^4 + (28 + 16*x - 15*x^2 - 4*x^3 + 2*x^4)*Log[(7 + 4*x - 2*x^2)/(-4*x + x^3)]*Log[Log[(7 + 4*x - 2*x^2)/(-4*x + x^3)]])/((28 + 16*x - 15*x^2 - 4*x^3 + 2*x^4)*Log[(7 + 4*x - 2*x^2)/(-4*x + x^3)]),x]","x \log \left(\log \left(\frac{-2 x^2+4 x+7}{x^3-4 x}\right)\right)","x \log \left(\log \left(\frac{4-\frac{1}{x}}{x^2-4}-\frac{2}{x}\right)\right)",1,"x*Log[Log[(7 + 4*x - 2*x^2)/(-4*x + x^3)]]","A",1
3798,1,42,33,0.3643694,"\int \frac{\left(-15-5 x+e^4 (10+5 x)+e^{2 x} \left(-3-5 x-2 x^2+e^4 \left(2+5 x+2 x^2\right)\right)+e^{2 x} (-4-2 x) \log (2+x)\right) \log (\log (i \pi +\log (2)))}{2+x} \, dx","Integrate[((-15 - 5*x + E^4*(10 + 5*x) + E^(2*x)*(-3 - 5*x - 2*x^2 + E^4*(2 + 5*x + 2*x^2)) + E^(2*x)*(-4 - 2*x)*Log[2 + x])*Log[Log[I*Pi + Log[2]]])/(2 + x),x]","\log (\log (\log (2)+i \pi )) \left(\left(e^4-1\right) \left(\left(e^{2 x}+5\right) x+10\right)-\left(e^{2 x}+5\right) \log (x+2)\right)","\left(e^{2 x}+5\right) \log (\log (\log (2)+i \pi )) \left(e^4 x-x-\log (x+2)\right)",1,"((-1 + E^4)*(10 + (5 + E^(2*x))*x) - (5 + E^(2*x))*Log[2 + x])*Log[Log[I*Pi + Log[2]]]","A",1
3799,1,25,25,0.1883357,"\int \frac{x^2+2 x^3+e^{10} (1+x)+e^5 \left(2 x+4 x^2\right)+e^{e^x} \left(-4 e^{10} x-8 e^5 x^2-4 x^3+e^x \left(-4 e^{10} x^2-8 e^5 x^3-4 x^4\right)\right)}{e^{10} x+2 e^5 x^2+x^3} \, dx","Integrate[(x^2 + 2*x^3 + E^10*(1 + x) + E^5*(2*x + 4*x^2) + E^E^x*(-4*E^10*x - 8*E^5*x^2 - 4*x^3 + E^x*(-4*E^10*x^2 - 8*E^5*x^3 - 4*x^4)))/(E^10*x + 2*E^5*x^2 + x^3),x]","-4 e^{e^x} x+2 x+\frac{e^{10}}{x+e^5}+\log (x)","\frac{x^2}{x+e^5}+\left(1-4 e^{e^x}\right) x+\log (x)",1,"2*x - 4*E^E^x*x + E^10/(E^5 + x) + Log[x]","A",1
3800,1,88,27,0.1626474,"\int \frac{-8 e^{2/x}+x^2+512 x^3-192 x^4+16 x^5+e^{\frac{1}{x}} \left(-64 x+72 x^2-16 x^3\right)+e^{2 x} \left(448 x^2-120 x^3+8 x^4\right)+e^x \left(-512 x^2-256 x^3+104 x^4-8 x^5+e^{\frac{1}{x}} \left(64-8 x-56 x^2+8 x^3\right)\right)}{x^2} \, dx","Integrate[(-8*E^(2/x) + x^2 + 512*x^3 - 192*x^4 + 16*x^5 + E^x^(-1)*(-64*x + 72*x^2 - 16*x^3) + E^(2*x)*(448*x^2 - 120*x^3 + 8*x^4) + E^x*(-512*x^2 - 256*x^3 + 104*x^4 - 8*x^5 + E^x^(-1)*(64 - 8*x - 56*x^2 + 8*x^3)))/x^2,x]","4 x^4-64 x^3+256 x^2+8 e^{2 x} \left(\frac{x^2}{2}-8 x+32\right)-8 e^{\frac{1}{x}} \left(x^2-8 x\right)-8 e^x \left(x^3-16 x^2+64 x\right)+x+4 e^{2/x}+8 e^{x+\frac{1}{x}} (x-8)","4 \left((8-x) \left(e^x-x\right)-e^{\frac{1}{x}}\right)^2+x",1,"4*E^(2/x) + 8*E^(x^(-1) + x)*(-8 + x) + x + 256*x^2 - 64*x^3 + 4*x^4 + 8*E^(2*x)*(32 - 8*x + x^2/2) - 8*E^x^(-1)*(-8*x + x^2) - 8*E^x*(64*x - 16*x^2 + x^3)","B",1
3801,1,20,27,0.0202977,"\int \frac{20480+(-40960-14080 x) \log (x)}{\left(15129 x-5412 x^2+484 x^3\right) \log (x)+\left(-7872 x+1408 x^2\right) \log (x) \log \left(\frac{x^2}{\log (x)}\right)+1024 x \log (x) \log ^2\left(\frac{x^2}{\log (x)}\right)} \, dx","Integrate[(20480 + (-40960 - 14080*x)*Log[x])/((15129*x - 5412*x^2 + 484*x^3)*Log[x] + (-7872*x + 1408*x^2)*Log[x]*Log[x^2/Log[x]] + 1024*x*Log[x]*Log[x^2/Log[x]]^2),x]","-\frac{1280}{-64 \log \left(\frac{x^2}{\log (x)}\right)-44 x+246}","\frac{20}{\log \left(\frac{x^2}{\log (x)}\right)+\frac{5}{16} \left(\frac{1}{2}-x\right)+x-4}",1,"-1280/(246 - 44*x - 64*Log[x^2/Log[x]])","A",1
3802,1,26,31,0.1637605,"\int \frac{24 x+16 x^3+e^x \left(12+8 x^2\right)+\left(6 x-40 x^3+e^x \left(3 x-20 x^3\right)+\left(-8 x^3-4 e^x x^3\right) \log (x)\right) \log \left(\frac{-3+20 x^2+4 x^2 \log (x)}{4 x^2}\right) \log \left(\log \left(\frac{-3+20 x^2+4 x^2 \log (x)}{4 x^2}\right)\right) \log \left(\log ^2\left(\log \left(\frac{-3+20 x^2+4 x^2 \log (x)}{4 x^2}\right)\right)\right)}{\left(-12 x^3+80 x^5+e^{2 x} \left(-3 x+20 x^3\right)+e^x \left(-12 x^2+80 x^4\right)+\left(4 e^{2 x} x^3+16 e^x x^4+16 x^5\right) \log (x)\right) \log \left(\frac{-3+20 x^2+4 x^2 \log (x)}{4 x^2}\right) \log \left(\log \left(\frac{-3+20 x^2+4 x^2 \log (x)}{4 x^2}\right)\right)} \, dx","Integrate[(24*x + 16*x^3 + E^x*(12 + 8*x^2) + (6*x - 40*x^3 + E^x*(3*x - 20*x^3) + (-8*x^3 - 4*E^x*x^3)*Log[x])*Log[(-3 + 20*x^2 + 4*x^2*Log[x])/(4*x^2)]*Log[Log[(-3 + 20*x^2 + 4*x^2*Log[x])/(4*x^2)]]*Log[Log[Log[(-3 + 20*x^2 + 4*x^2*Log[x])/(4*x^2)]]^2])/((-12*x^3 + 80*x^5 + E^(2*x)*(-3*x + 20*x^3) + E^x*(-12*x^2 + 80*x^4) + (4*E^(2*x)*x^3 + 16*E^x*x^4 + 16*x^5)*Log[x])*Log[(-3 + 20*x^2 + 4*x^2*Log[x])/(4*x^2)]*Log[Log[(-3 + 20*x^2 + 4*x^2*Log[x])/(4*x^2)]]),x]","\frac{\log \left(\log ^2\left(\log \left(-\frac{3}{4 x^2}+\log (x)+5\right)\right)\right)}{2 x+e^x}","\frac{\log \left(\log ^2\left(\log \left(-\frac{3}{4 x^2}+\log (x)+5\right)\right)\right)}{\left(\frac{e^x}{x}+2\right) x}",1,"Log[Log[Log[5 - 3/(4*x^2) + Log[x]]]^2]/(E^x + 2*x)","A",1
3803,1,26,23,0.0339497,"\int \frac{-1500+525 x+45 x^2-33 x^3+3 x^4+\left(-375 x+205 x^2-50 x^3+3 x^4\right) \log (x)}{\left(-1500 x+525 x^2+45 x^3-33 x^4+3 x^5\right) \log (x)} \, dx","Integrate[(-1500 + 525*x + 45*x^2 - 33*x^3 + 3*x^4 + (-375*x + 205*x^2 - 50*x^3 + 3*x^4)*Log[x])/((-1500*x + 525*x^2 + 45*x^3 - 33*x^4 + 3*x^5)*Log[x]),x]","\frac{5}{3 (x-5)}+\frac{25}{6 (x-5)^2}+\log (x+4)+\log (\log (x))","\frac{x^2}{6 (5-x)^2}+\log ((x+4) \log (x))+7",1,"25/(6*(-5 + x)^2) + 5/(3*(-5 + x)) + Log[4 + x] + Log[Log[x]]","A",1
3804,1,20,20,0.3373963,"\int e^{-16-14 x+2 x^2-2 e^x x^3} \left(-14+4 x+e^x \left(-6 x^2-2 x^3\right)\right) \, dx","Integrate[E^(-16 - 14*x + 2*x^2 - 2*E^x*x^3)*(-14 + 4*x + E^x*(-6*x^2 - 2*x^3)),x]","e^{-2 e^x x^3+2 x^2-14 x-16}","e^{-2 e^x x^3+2 x^2-14 x-16}",1,"E^(-16 - 14*x + 2*x^2 - 2*E^x*x^3)","A",1
3805,1,22,25,0.100602,"\int \frac{4+2 x^3+8 \log \left(\frac{5}{x}\right)+e^{x^{\frac{1}{x}}} x^{\frac{1}{x}} (x-x \log (x))}{x^3} \, dx","Integrate[(4 + 2*x^3 + 8*Log[5/x] + E^x^x^(-1)*x^x^(-1)*(x - x*Log[x]))/x^3,x]","e^{x^{\frac{1}{x}}}-\frac{4 \log \left(\frac{5}{x}\right)}{x^2}+2 x","e^{x^{\frac{1}{x}}}-\frac{4 \log \left(\frac{5}{x}\right)}{x^2}+2 x+\frac{3}{4}",1,"E^x^x^(-1) + 2*x - (4*Log[5/x])/x^2","A",1
3806,1,28,28,0.1642217,"\int \frac{8 x^2+8 \log (x)+\left(4 x^2+4 \log (x)\right) \log \left(x^2\right)+e^{\log ^2\left(x^2+\log (x)\right)} \left(-4 x^2+\left(-4-4 x^2\right) \log (x)-4 \log ^2(x)+\left(-8-16 x^2\right) \log (x) \log \left(x^2+\log (x)\right)\right)}{e^{2 \log ^2\left(x^2+\log (x)\right)} \left(x^4 \log ^2(x)+x^2 \log ^3(x)\right)+e^{\log ^2\left(x^2+\log (x)\right)} \left(-2 x^4 \log (x)-2 x^2 \log ^2(x)\right) \log \left(x^2\right)+\left(x^4+x^2 \log (x)\right) \log ^2\left(x^2\right)} \, dx","Integrate[(8*x^2 + 8*Log[x] + (4*x^2 + 4*Log[x])*Log[x^2] + E^Log[x^2 + Log[x]]^2*(-4*x^2 + (-4 - 4*x^2)*Log[x] - 4*Log[x]^2 + (-8 - 16*x^2)*Log[x]*Log[x^2 + Log[x]]))/(E^(2*Log[x^2 + Log[x]]^2)*(x^4*Log[x]^2 + x^2*Log[x]^3) + E^Log[x^2 + Log[x]]^2*(-2*x^4*Log[x] - 2*x^2*Log[x]^2)*Log[x^2] + (x^4 + x^2*Log[x])*Log[x^2]^2),x]","\frac{4}{x \left(e^{\log ^2\left(x^2+\log (x)\right)} \log (x)-\log \left(x^2\right)\right)}","\frac{4}{x \left(e^{\log ^2\left(x^2+\log (x)\right)} \log (x)-\log \left(x^2\right)\right)}",1,"4/(x*(E^Log[x^2 + Log[x]]^2*Log[x] - Log[x^2]))","A",1
3807,0,0,35,4.5220223,"\int \frac{16 e^{4+x} x+e^4 \left(8 x-56 x^2+64 x^3-8 x^5\right)+e^4 \left(32 x-32 x^2-8 x^3+8 x^4\right) \log (4)+e^4 \left(4 x^2-2 x^3\right) \log ^2(4)+\left(16 e^{4+x}+e^4 \left(8-56 x+64 x^2-8 x^4\right)+e^4 \left(32-32 x-8 x^2+8 x^3\right) \log (4)+e^4 \left(4 x-2 x^2\right) \log ^2(4)\right) \log \left(4 e^x+4 x-16 x^2+16 x^3-4 x^4+\left(16 x-16 x^2+4 x^3\right) \log (4)+\left(-4+4 x-x^2\right) \log ^2(4)\right)}{4 e^x+4 x-16 x^2+16 x^3-4 x^4+\left(16 x-16 x^2+4 x^3\right) \log (4)+\left(-4+4 x-x^2\right) \log ^2(4)} \, dx","Integrate[(16*E^(4 + x)*x + E^4*(8*x - 56*x^2 + 64*x^3 - 8*x^5) + E^4*(32*x - 32*x^2 - 8*x^3 + 8*x^4)*Log[4] + E^4*(4*x^2 - 2*x^3)*Log[4]^2 + (16*E^(4 + x) + E^4*(8 - 56*x + 64*x^2 - 8*x^4) + E^4*(32 - 32*x - 8*x^2 + 8*x^3)*Log[4] + E^4*(4*x - 2*x^2)*Log[4]^2)*Log[4*E^x + 4*x - 16*x^2 + 16*x^3 - 4*x^4 + (16*x - 16*x^2 + 4*x^3)*Log[4] + (-4 + 4*x - x^2)*Log[4]^2])/(4*E^x + 4*x - 16*x^2 + 16*x^3 - 4*x^4 + (16*x - 16*x^2 + 4*x^3)*Log[4] + (-4 + 4*x - x^2)*Log[4]^2),x]","\int \frac{16 e^{4+x} x+e^4 \left(8 x-56 x^2+64 x^3-8 x^5\right)+e^4 \left(32 x-32 x^2-8 x^3+8 x^4\right) \log (4)+e^4 \left(4 x^2-2 x^3\right) \log ^2(4)+\left(16 e^{4+x}+e^4 \left(8-56 x+64 x^2-8 x^4\right)+e^4 \left(32-32 x-8 x^2+8 x^3\right) \log (4)+e^4 \left(4 x-2 x^2\right) \log ^2(4)\right) \log \left(4 e^x+4 x-16 x^2+16 x^3-4 x^4+\left(16 x-16 x^2+4 x^3\right) \log (4)+\left(-4+4 x-x^2\right) \log ^2(4)\right)}{4 e^x+4 x-16 x^2+16 x^3-4 x^4+\left(16 x-16 x^2+4 x^3\right) \log (4)+\left(-4+4 x-x^2\right) \log ^2(4)} \, dx","e^4 \left(x+\log \left(4 \left(e^x+x-(2-x)^2 \left(x-\frac{\log (4)}{2}\right)^2\right)\right)\right)^2",1,"Integrate[(16*E^(4 + x)*x + E^4*(8*x - 56*x^2 + 64*x^3 - 8*x^5) + E^4*(32*x - 32*x^2 - 8*x^3 + 8*x^4)*Log[4] + E^4*(4*x^2 - 2*x^3)*Log[4]^2 + (16*E^(4 + x) + E^4*(8 - 56*x + 64*x^2 - 8*x^4) + E^4*(32 - 32*x - 8*x^2 + 8*x^3)*Log[4] + E^4*(4*x - 2*x^2)*Log[4]^2)*Log[4*E^x + 4*x - 16*x^2 + 16*x^3 - 4*x^4 + (16*x - 16*x^2 + 4*x^3)*Log[4] + (-4 + 4*x - x^2)*Log[4]^2])/(4*E^x + 4*x - 16*x^2 + 16*x^3 - 4*x^4 + (16*x - 16*x^2 + 4*x^3)*Log[4] + (-4 + 4*x - x^2)*Log[4]^2), x]","F",-1
3808,1,26,21,0.0619308,"\int \frac{15 x+e^{\frac{1+2 x-x^2 \log (x)}{x}} \left(-5-5 x-5 x^2-5 x^2 \log (x)\right)}{2 x^3} \, dx","Integrate[(15*x + E^((1 + 2*x - x^2*Log[x])/x)*(-5 - 5*x - 5*x^2 - 5*x^2*Log[x]))/(2*x^3),x]","-\frac{5}{2} \left(\frac{3}{x}-e^{\frac{1}{x}+2} x^{-x-1}\right)","\frac{5 \left(e^{\frac{1}{x}-x \log (x)+2}-3\right)}{2 x}",1,"(-5*(3/x - E^(2 + x^(-1))*x^(-1 - x)))/2","A",1
3809,1,11,11,0.0032015,"\int \frac{\left(x-2 x^2\right) \log (x)+4 \log ^4(x)}{x \log (x)} \, dx","Integrate[((x - 2*x^2)*Log[x] + 4*Log[x]^4)/(x*Log[x]),x]","-x^2+x+\log ^4(x)","-x^2+x+\log ^4(x)",1,"x - x^2 + Log[x]^4","A",1
3810,1,28,23,0.0337366,"\int \frac{12+23 e^4-3 e^4 \log (10)+\left(12+23 e^4-3 e^4 \log (10)\right) \log (x \log (\log (2)))}{3 e^4 x^2 \log ^2(x \log (\log (2)))} \, dx","Integrate[(12 + 23*E^4 - 3*E^4*Log[10] + (12 + 23*E^4 - 3*E^4*Log[10])*Log[x*Log[Log[2]]])/(3*E^4*x^2*Log[x*Log[Log[2]]]^2),x]","\frac{e^4 (\log (1000)-23)-12}{3 e^4 x \log (x \log (\log (2)))}","\frac{-\frac{23}{3}-\frac{4}{e^4}+\log (10)}{x \log (x \log (\log (2)))}",1,"(-12 + E^4*(-23 + Log[1000]))/(3*E^4*x*Log[x*Log[Log[2]]])","A",1
3811,1,21,25,0.1479662,"\int \frac{x^5+e^{4+\frac{e^4 \left(4+4 x+5 x^2+2 x^3+x^4\right)}{x^4}} \left(16+12 x+10 x^2+2 x^3\right)}{x^5} \, dx","Integrate[(x^5 + E^(4 + (E^4*(4 + 4*x + 5*x^2 + 2*x^3 + x^4))/x^4)*(16 + 12*x + 10*x^2 + 2*x^3))/x^5,x]","x-e^{\frac{e^4 \left(x^2+x+2\right)^2}{x^4}}","-e^{\frac{e^4 \left(x+\frac{x+2}{x}\right)^2}{x^2}}+x+3",1,"-E^((E^4*(2 + x + x^2)^2)/x^4) + x","A",1
3812,1,14,20,0.0014568,"\int \frac{e^3+x+2 x^2}{x^2} \, dx","Integrate[(E^3 + x + 2*x^2)/x^2,x]","2 x-\frac{e^3}{x}+\log (x)","2 x-\frac{e^3}{x}+\log \left(\frac{x}{25}\right)+e-6",1,"-(E^3/x) + 2*x + Log[x]","A",1
3813,1,19,23,0.0702294,"\int \frac{-e^{10} x+2 e^{10} x \log (x) \log (\log (x))-2 e^{10} \log (x) \log ^2(\log (x))}{\log (x) \log ^2(\log (x))} \, dx","Integrate[(-(E^10*x) + 2*E^10*x*Log[x]*Log[Log[x]] - 2*E^10*Log[x]*Log[Log[x]]^2)/(Log[x]*Log[Log[x]]^2),x]","\frac{e^{10} x^2}{\log (\log (x))}-2 e^{10} x","e^{10} \left(\frac{x^2}{\log (\log (x))}-2 x+\frac{3}{\log (4)}\right)",1,"-2*E^10*x + (E^10*x^2)/Log[Log[x]]","A",1
3814,1,12,22,0.0213799,"\int \frac{-5+\frac{e^{-5+x} \left(x-x^2\right)}{x}}{x^2} \, dx","Integrate[(-5 + (E^(-5 + x)*(x - x^2))/x)/x^2,x]","-\frac{e^{x-5}-5}{x}","-\frac{e^{x-5}}{x}+\frac{5}{x}+5 e^6-8",1,"-((-5 + E^(-5 + x))/x)","A",1
3815,1,22,28,0.4766106,"\int \frac{50+e^{x-x^6} \left(50-300 x^5\right)+e^x \left(1-x-6 e^{x-x^6} x^5\right)}{5000+200 e^x+2 e^{2 x}} \, dx","Integrate[(50 + E^(x - x^6)*(50 - 300*x^5) + E^x*(1 - x - 6*E^(x - x^6)*x^5))/(5000 + 200*E^x + 2*E^(2*x)),x]","\frac{e^{x-x^6}+x}{2 \left(e^x+50\right)}","\frac{e^{x-x^6}+x}{4 \left(\frac{e^x}{2}+25\right)}+3",1,"(E^(x - x^6) + x)/(2*(50 + E^x))","A",1
3816,1,23,22,0.0068655,"\int \frac{4+5 x^2+8 x^3+x^2 \log \left(\frac{5}{3}\right)}{64 x^2} \, dx","Integrate[(4 + 5*x^2 + 8*x^3 + x^2*Log[5/3])/(64*x^2),x]","\frac{1}{64} \left(4 x^2-\frac{4}{x}+x \left(5+\log \left(\frac{5}{3}\right)\right)\right)","\frac{1}{16} x \left(-\frac{1}{x^2}+x+\frac{1}{4} \left(5+\log \left(\frac{5}{3}\right)\right)\right)",1,"(-4/x + 4*x^2 + x*(5 + Log[5/3]))/64","A",1
3817,1,20,21,0.1501185,"\int \frac{6 x+18 x^2-4 x^4+\left(12 x+4 x^4\right) \log (x)}{9-12 x^3+4 x^6} \, dx","Integrate[(6*x + 18*x^2 - 4*x^4 + (12*x + 4*x^4)*Log[x])/(9 - 12*x^3 + 4*x^6),x]","\frac{2 \left(2 x^2 \log (x)+3\right)}{6-4 x^3}","2 \left(6-\frac{x+\log (x)}{2 x-\frac{3}{x^2}}\right)",1,"(2*(3 + 2*x^2*Log[x]))/(6 - 4*x^3)","A",1
3818,1,14,14,0.1749663,"\int \frac{-x+3 e^{x^3} x^3+\left(-e^{x^3}+x\right) \log \left(-e^{x^3}+x\right)}{e^{x^3} x^2-x^3} \, dx","Integrate[(-x + 3*E^x^3*x^3 + (-E^x^3 + x)*Log[-E^x^3 + x])/(E^x^3*x^2 - x^3),x]","\frac{\log \left(x-e^{x^3}\right)}{x}","\frac{\log \left(x-e^{x^3}\right)}{x}",1,"Log[-E^x^3 + x]/x","A",1
3819,1,23,22,0.2944121,"\int \frac{1}{3} e^{\frac{1}{3} \left(3+9 x-6 x^2-4 x^2 \log ^2(x)\right)} \left(9-12 x-8 x \log (x)-8 x \log ^2(x)\right) \, dx","Integrate[(E^((3 + 9*x - 6*x^2 - 4*x^2*Log[x]^2)/3)*(9 - 12*x - 8*x*Log[x] - 8*x*Log[x]^2))/3,x]","e^{-2 x^2-\frac{4}{3} x^2 \log ^2(x)+3 x+1}","e^{x-\left(x \left(2 x+\frac{4}{3} x \log ^2(x)-2\right)\right)+1}",1,"E^(1 + 3*x - 2*x^2 - (4*x^2*Log[x]^2)/3)","A",1
3820,1,30,28,0.0678056,"\int \frac{e^x \left(-2+64 x+27 x^2-66 x^3-30 x^4+17 x^5+8 x^6\right)+e^x \left(-32+2 x+32 x^2-x^3-8 x^4\right) \log \left(\frac{-4+2 x^2}{-80+5 x+40 x^2}\right)}{32-2 x-32 x^2+x^3+8 x^4} \, dx","Integrate[(E^x*(-2 + 64*x + 27*x^2 - 66*x^3 - 30*x^4 + 17*x^5 + 8*x^6) + E^x*(-32 + 2*x + 32*x^2 - x^3 - 8*x^4)*Log[(-4 + 2*x^2)/(-80 + 5*x + 40*x^2)])/(32 - 2*x - 32*x^2 + x^3 + 8*x^4),x]","e^x \left(x^2-\log \left(\frac{2 \left(x^2-2\right)}{5 \left(8 x^2+x-16\right)}\right)\right)","e^x \left(x^2-\log \left(\frac{2}{5 \left(\frac{x}{x^2-2}+8\right)}\right)\right)",1,"E^x*(x^2 - Log[(2*(-2 + x^2))/(5*(-16 + x + 8*x^2))])","A",1
3821,1,14,19,0.0128041,"\int \frac{-3+e^2+e^x (-1+x)}{x^2} \, dx","Integrate[(-3 + E^2 + E^x*(-1 + x))/x^2,x]","\frac{e^x+3-e^2}{x}","\frac{-\frac{2 x}{3}+e^x-e^2+3}{x}",1,"(3 - E^2 + E^x)/x","A",1
3822,1,31,23,0.7037825,"\int \frac{e^{-e^{1+9 x}+x} \left(-3+27 e^{1+9 x}\right)+24 x}{e^{-2 e^{1+9 x}+2 x}-8 e^{-e^{1+9 x}+x} x^2+16 x^4} \, dx","Integrate[(E^(-E^(1 + 9*x) + x)*(-3 + 27*E^(1 + 9*x)) + 24*x)/(E^(-2*E^(1 + 9*x) + 2*x) - 8*E^(-E^(1 + 9*x) + x)*x^2 + 16*x^4),x]","\frac{3 e^{e^{9 x+1}}}{e^x-4 e^{e^{9 x+1}} x^2}","\frac{3}{e^{x-e^{9 x+1}}-4 x^2}",1,"(3*E^E^(1 + 9*x))/(E^x - 4*E^E^(1 + 9*x)*x^2)","A",1
3823,1,44,23,0.4906062,"\int \frac{-21 x^2+9 \log (4)+7 x^2 \log (x)+((27-63 x) \log (4)+(-9+21 x) \log (4) \log (x)) \log (-3+\log (x))}{-9 x^2+3 x^2 \log (x)+(-27 x \log (4)+9 x \log (4) \log (x)) \log (-3+\log (x))} \, dx","Integrate[(-21*x^2 + 9*Log[4] + 7*x^2*Log[x] + ((27 - 63*x)*Log[4] + (-9 + 21*x)*Log[4]*Log[x])*Log[-3 + Log[x]])/(-9*x^2 + 3*x^2*Log[x] + (-27*x*Log[4] + 9*x*Log[4]*Log[x])*Log[-3 + Log[x]]),x]","\frac{7 x \log (4)}{\log (64)}+\frac{1}{3} \left(\frac{9 \log (4) \log (x+\log (64) \log (\log (x)-3))}{\log (64)}-\frac{9 \log (4) \log (x)}{\log (64)}\right)","\frac{7 x}{3}-\log (x)+\log (x+3 \log (4) \log (\log (x)-3))-5",1,"(7*x*Log[4])/Log[64] + ((-9*Log[4]*Log[x])/Log[64] + (9*Log[4]*Log[x + Log[64]*Log[-3 + Log[x]]])/Log[64])/3","A",1
3824,1,58,29,0.0144765,"\int \frac{3-x-x \log (x)+\left(3+x-5 x^2+\left(-2+x-10 x^2\right) \log (x)-\log \left(5 x^2\right)\right) \log (\log (4))}{x} \, dx","Integrate[(3 - x - x*Log[x] + (3 + x - 5*x^2 + (-2 + x - 10*x^2)*Log[x] - Log[5*x^2])*Log[Log[4]])/x,x]","-\frac{1}{4} \log (\log (4)) \log ^2\left(5 x^2\right)-5 x^2 \log (\log (4)) \log (x)-\log (\log (4)) \log ^2(x)-x \log (x)+x \log (\log (4)) \log (x)+3 \log (x)+3 \log (\log (4)) \log (x)","\log (x) \left(-\log (\log (4)) \left(5 x^2+\log \left(5 x^2\right)-x-3\right)-x+3\right)",1,"3*Log[x] - x*Log[x] + 3*Log[x]*Log[Log[4]] + x*Log[x]*Log[Log[4]] - 5*x^2*Log[x]*Log[Log[4]] - Log[x]^2*Log[Log[4]] - (Log[5*x^2]^2*Log[Log[4]])/4","A",1
3825,1,13,13,0.0018967,"\int \frac{20 e^{\frac{-400+60 e^2+20 e^2 \log (x)}{e^2}}}{x} \, dx","Integrate[(20*E^((-400 + 60*E^2 + 20*E^2*Log[x])/E^2))/x,x]","e^{60-\frac{400}{e^2}} x^{20}","e^{20 \left(\log (x)-\frac{20}{e^2}+3\right)}",1,"E^(60 - 400/E^2)*x^20","A",1
3826,1,14,15,0.0055768,"\int \frac{-6+8 x+4 x^4}{2 x+x^4} \, dx","Integrate[(-6 + 8*x + 4*x^4)/(2*x + x^4),x]","\log \left(x^3+2\right)+4 x-3 \log (x)","\log \left(\frac{2}{x^3}+1\right)+4 x-\frac{11}{4}",1,"4*x - 3*Log[x] + Log[2 + x^3]","A",1
3827,1,32,15,0.0197585,"\int \frac{432 x+216 e^3 x^2+e^6 \left(-18900+36 x^3\right)+e^9 \left(3150 x+2 x^4\right)}{216+108 e^3 x+18 e^6 x^2+e^9 x^3} \, dx","Integrate[(432*x + 216*E^3*x^2 + E^6*(-18900 + 36*x^3) + E^9*(3150*x + 2*x^4))/(216 + 108*E^3*x + 18*E^6*x^2 + E^9*x^3),x]","x^2-\frac{3150 e^3}{e^3 x+6}+\frac{18900 e^3}{\left(e^3 x+6\right)^2}","x \left(x-\frac{3150}{\left(x+\frac{6}{e^3}\right)^2}\right)",1,"x^2 + (18900*E^3)/(6 + E^3*x)^2 - (3150*E^3)/(6 + E^3*x)","B",1
3828,1,35,22,0.5093826,"\int \frac{e^{\frac{1800 e^{-\frac{4 x}{-12+e^4}}}{x^2}-\frac{4 x}{-12+e^4}} \left(43200-3600 e^4-7200 x\right)}{-12 x^3+e^4 x^3} \, dx","Integrate[(E^(1800/(E^((4*x)/(-12 + E^4))*x^2) - (4*x)/(-12 + E^4))*(43200 - 3600*E^4 - 7200*x))/(-12*x^3 + E^4*x^3),x]","-\frac{\left(12-e^4\right) e^{\frac{1800 e^{-\frac{4 x}{e^4-12}}}{x^2}}}{e^4-12}","e^{\frac{1800 e^{\frac{x}{3-\frac{e^4}{4}}}}{x^2}}",1,"-((E^(1800/(E^((4*x)/(-12 + E^4))*x^2))*(12 - E^4))/(-12 + E^4))","A",1
3829,1,20,30,0.0228844,"\int \frac{e^x (1-x)-3 x^2-\log ^2(4)}{x^2} \, dx","Integrate[(E^x*(1 - x) - 3*x^2 - Log[4]^2)/x^2,x]","-3 x-\frac{e^x}{x}+\frac{\log ^2(4)}{x}","\frac{\log ^2(4)}{x}-\frac{3 \left(x^2+2 x\right)-x+e^x}{x}",1,"-(E^x/x) - 3*x + Log[4]^2/x","A",1
3830,1,25,27,0.1547447,"\int \frac{e^{\frac{e^{2 x}+2 e^x x+x^2}{x^2}} \left(-46 x^3+6 x^4+e^{2 x} \left(-60+44 x+28 x^2-12 x^3\right)+e^x \left(-60 x+44 x^2+28 x^3-12 x^4\right)\right)}{125 x^3+225 x^4+135 x^5+27 x^6} \, dx","Integrate[(E^((E^(2*x) + 2*E^x*x + x^2)/x^2)*(-46*x^3 + 6*x^4 + E^(2*x)*(-60 + 44*x + 28*x^2 - 12*x^3) + E^x*(-60*x + 44*x^2 + 28*x^3 - 12*x^4)))/(125*x^3 + 225*x^4 + 135*x^5 + 27*x^6),x]","-\frac{2 e^{\frac{\left(x+e^x\right)^2}{x^2}} (x-3)}{(3 x+5)^2}","\frac{2 e^{\frac{\left(x+e^x\right)^2}{x^2}} (3-x)}{(3 x+5)^2}",1,"(-2*E^((E^x + x)^2/x^2)*(-3 + x))/(5 + 3*x)^2","A",1
3831,1,12,17,0.0000675,"\int \frac{1}{2} \left(-5+60 e^3\right) \, dx","Integrate[(-5 + 60*E^3)/2,x]","30 e^3 x-\frac{5 x}{2}","-\frac{5 x}{2}+6 e^3 (5 x+5)+1",1,"(-5*x)/2 + 30*E^3*x","A",1
3832,1,14,14,0.0000761,"\int 12 e^{1-e^3} x^2 \, dx","Integrate[12*E^(1 - E^3)*x^2,x]","4 e^{1-e^3} x^3","4 e^{1-e^3} x^3",1,"4*E^(1 - E^3)*x^3","A",1
3833,1,25,24,0.6330606,"\int \frac{e^{\frac{\log (5) \log \left(\frac{x}{3}\right)}{-x+(2+x) \log \left(\frac{x}{3}\right)}} \left(-\log (5)+\log (5) \log \left(\frac{x}{3}\right)-\log (5) \log ^2\left(\frac{x}{3}\right)\right)}{x^2+\left(-4 x-2 x^2\right) \log \left(\frac{x}{3}\right)+\left(4+4 x+x^2\right) \log ^2\left(\frac{x}{3}\right)} \, dx","Integrate[(E^((Log[5]*Log[x/3])/(-x + (2 + x)*Log[x/3]))*(-Log[5] + Log[5]*Log[x/3] - Log[5]*Log[x/3]^2))/(x^2 + (-4*x - 2*x^2)*Log[x/3] + (4 + 4*x + x^2)*Log[x/3]^2),x]","5^{\frac{\log \left(\frac{x}{3}\right)}{(x+2) \log \left(\frac{x}{3}\right)-x}}","5^{\frac{1}{x-\frac{x}{\log \left(\frac{x}{3}\right)}+2}}-e^5",1,"5^(Log[x/3]/(-x + (2 + x)*Log[x/3]))","A",1
3834,1,12,12,0.0056525,"\int \frac{e^6-\frac{35 x^{4/3}}{e^5}}{e^6} \, dx","Integrate[(E^6 - (35*x^(4/3))/E^5)/E^6,x]","x-\frac{15 x^{7/3}}{e^{11}}","x-\frac{15 x^{7/3}}{e^{11}}",1,"x - (15*x^(7/3))/E^11","A",1
3835,1,21,21,0.2707945,"\int \frac{\exp \left(\frac{5 e^5 x+\left(2 x+e^4 x\right) \log (x)}{2 \log (x)}\right) \left(-5 e^5+5 e^5 \log (x)+\left(2+e^4\right) \log ^2(x)\right)}{2 \log ^2(x)} \, dx","Integrate[(E^((5*E^5*x + (2*x + E^4*x)*Log[x])/(2*Log[x]))*(-5*E^5 + 5*E^5*Log[x] + (2 + E^4)*Log[x]^2))/(2*Log[x]^2),x]","e^{\frac{1}{2} x \left(\frac{5 e^5}{\log (x)}+e^4+2\right)}","e^{x+\frac{1}{2} e^4 \left(x+\frac{5 e x}{\log (x)}\right)}",1,"E^((x*(2 + E^4 + (5*E^5)/Log[x]))/2)","A",1
3836,1,24,24,1.4572012,"\int \frac{-80 x-80 x^3+e^x \left(-16 x-16 x^2-16 x^3\right)-32 \log (x)-16 x^2 \log ^2(x)}{e^{2 x^2} \left(3125 x^6+3125 e^x x^6+1250 e^{2 x} x^6+250 e^{3 x} x^6+25 e^{4 x} x^6+e^{5 x} x^6\right)+e^{2 x^2} \left(3125 x^5+2500 e^x x^5+750 e^{2 x} x^5+100 e^{3 x} x^5+5 e^{4 x} x^5\right) \log ^2(x)+e^{2 x^2} \left(1250 x^4+750 e^x x^4+150 e^{2 x} x^4+10 e^{3 x} x^4\right) \log ^4(x)+e^{2 x^2} \left(250 x^3+100 e^x x^3+10 e^{2 x} x^3\right) \log ^6(x)+e^{2 x^2} \left(25 x^2+5 e^x x^2\right) \log ^8(x)+e^{2 x^2} x \log ^{10}(x)} \, dx","Integrate[(-80*x - 80*x^3 + E^x*(-16*x - 16*x^2 - 16*x^3) - 32*Log[x] - 16*x^2*Log[x]^2)/(E^(2*x^2)*(3125*x^6 + 3125*E^x*x^6 + 1250*E^(2*x)*x^6 + 250*E^(3*x)*x^6 + 25*E^(4*x)*x^6 + E^(5*x)*x^6) + E^(2*x^2)*(3125*x^5 + 2500*E^x*x^5 + 750*E^(2*x)*x^5 + 100*E^(3*x)*x^5 + 5*E^(4*x)*x^5)*Log[x]^2 + E^(2*x^2)*(1250*x^4 + 750*E^x*x^4 + 150*E^(2*x)*x^4 + 10*E^(3*x)*x^4)*Log[x]^4 + E^(2*x^2)*(250*x^3 + 100*E^x*x^3 + 10*E^(2*x)*x^3)*Log[x]^6 + E^(2*x^2)*(25*x^2 + 5*E^x*x^2)*Log[x]^8 + E^(2*x^2)*x*Log[x]^10),x]","\frac{4 e^{-2 x^2}}{\left(e^x x+5 x+\log ^2(x)\right)^4}","\frac{4 e^{-2 x^2}}{\left(e^x x+5 x+\log ^2(x)\right)^4}",1,"4/(E^(2*x^2)*(5*x + E^x*x + Log[x]^2)^4)","A",1
3837,1,22,25,0.391836,"\int \frac{1+\left(-1+(-2+e) e^{-2-2 x+e x}\right) \log ^2(\log (3))}{x+\left(e^{-2-2 x+e x}-x\right) \log ^2(\log (3))} \, dx","Integrate[(1 + (-1 + (-2 + E)*E^(-2 - 2*x + E*x))*Log[Log[3]]^2)/(x + (E^(-2 - 2*x + E*x) - x)*Log[Log[3]]^2),x]","\log \left(x+\left(e^{(e-2) x-2}-x\right) \log ^2(\log (3))\right)","\log \left(\left(x-e^{e x-2 x-2}\right) \log ^2(\log (3))-x\right)",1,"Log[x + (E^(-2 + (-2 + E)*x) - x)*Log[Log[3]]^2]","A",1
3838,1,23,28,0.0841732,"\int \frac{9 x-3 x^3+\left(-3+12 x-10 x^2+2 x^3+3 x^4\right) \log (-1+3 x)}{\left(3 x-9 x^2-x^3+3 x^4\right) \log (-1+3 x)} \, dx","Integrate[(9*x - 3*x^3 + (-3 + 12*x - 10*x^2 + 2*x^3 + 3*x^4)*Log[-1 + 3*x])/((3*x - 9*x^2 - x^3 + 3*x^4)*Log[-1 + 3*x]),x]","\log \left(3-x^2\right)+x-\log (x)-\log (\log (3 x-1))","x+\log \left(\frac{\frac{3}{x}-x}{8 \log (5) \log (3 x-1)}\right)",1,"x - Log[x] + Log[3 - x^2] - Log[Log[-1 + 3*x]]","A",1
3839,1,8,9,0.02996,"\int \frac{1}{x \log (x) \log \left(-e^2 \log (x)\right)} \, dx","Integrate[1/(x*Log[x]*Log[-(E^2*Log[x])]),x]","\log (\log (-\log (x))+2)","\log \left(\log \left(-e^2 \log (x)\right)\right)",1,"Log[2 + Log[-Log[x]]]","A",1
3840,1,15,25,0.0012683,"\int \frac{-8+9 x-49 x^2}{9 x^2} \, dx","Integrate[(-8 + 9*x - 49*x^2)/(9*x^2),x]","-\frac{49 x}{9}+\frac{8}{9 x}+\log (x)","\log \left(e^{\frac{40}{9} \left(\frac{1}{5 x}-x\right)-x-6} x\right)",1,"8/(9*x) - (49*x)/9 + Log[x]","A",1
3841,0,0,31,6.0118327,"\int \frac{\exp \left(-2+\frac{e^{-2-2 x} \left(7744 e^2+e^x \left(-704 e-704 e^{2+\frac{2}{x}}\right)+e^{2 x} \left(16+32 e^{1+\frac{2}{x}}+16 e^{2+\frac{4}{x}}\right)\right)}{x^2}-2 x\right) \left(e^{2 x} \left(e^{1+\frac{2}{x}} (-64-64 x)+e^{2+\frac{4}{x}} (-64-32 x)-32 x\right)+e^2 \left(-15488 x-15488 x^2\right)+e^x \left(e \left(1408 x+704 x^2\right)+e^{2+\frac{2}{x}} \left(1408+1408 x+704 x^2\right)\right)\right)}{x^4} \, dx","Integrate[(E^(-2 + (E^(-2 - 2*x)*(7744*E^2 + E^x*(-704*E - 704*E^(2 + 2/x)) + E^(2*x)*(16 + 32*E^(1 + 2/x) + 16*E^(2 + 4/x))))/x^2 - 2*x)*(E^(2*x)*(E^(1 + 2/x)*(-64 - 64*x) + E^(2 + 4/x)*(-64 - 32*x) - 32*x) + E^2*(-15488*x - 15488*x^2) + E^x*(E*(1408*x + 704*x^2) + E^(2 + 2/x)*(1408 + 1408*x + 704*x^2))))/x^4,x]","\int \frac{\exp \left(-2+\frac{e^{-2-2 x} \left(7744 e^2+e^x \left(-704 e-704 e^{2+\frac{2}{x}}\right)+e^{2 x} \left(16+32 e^{1+\frac{2}{x}}+16 e^{2+\frac{4}{x}}\right)\right)}{x^2}-2 x\right) \left(e^{2 x} \left(e^{1+\frac{2}{x}} (-64-64 x)+e^{2+\frac{4}{x}} (-64-32 x)-32 x\right)+e^2 \left(-15488 x-15488 x^2\right)+e^x \left(e \left(1408 x+704 x^2\right)+e^{2+\frac{2}{x}} \left(1408+1408 x+704 x^2\right)\right)\right)}{x^4} \, dx","e^{\frac{16 \left(-e^{2/x}+22 e^{-x}-\frac{1}{e}\right)^2}{x^2}}",1,"Integrate[(E^(-2 + (E^(-2 - 2*x)*(7744*E^2 + E^x*(-704*E - 704*E^(2 + 2/x)) + E^(2*x)*(16 + 32*E^(1 + 2/x) + 16*E^(2 + 4/x))))/x^2 - 2*x)*(E^(2*x)*(E^(1 + 2/x)*(-64 - 64*x) + E^(2 + 4/x)*(-64 - 32*x) - 32*x) + E^2*(-15488*x - 15488*x^2) + E^x*(E*(1408*x + 704*x^2) + E^(2 + 2/x)*(1408 + 1408*x + 704*x^2))))/x^4, x]","F",-1
3842,1,30,31,0.4207755,"\int \frac{2 e^{\frac{e^4-x^2}{x}} x-x^2+\left(-3 x^2+e^{\frac{e^4-x^2}{x}} \left(-2 e^4+4 x-2 x^2\right)\right) \log (x)}{\left(2 e^{\frac{e^4-x^2}{x}} x^2-x^3\right) \log (x)} \, dx","Integrate[(2*E^((E^4 - x^2)/x)*x - x^2 + (-3*x^2 + E^((E^4 - x^2)/x)*(-2*E^4 + 4*x - 2*x^2))*Log[x])/((2*E^((E^4 - x^2)/x)*x^2 - x^3)*Log[x]),x]","-x+2 \log (x)+\log \left(2 e^{\frac{e^4}{x}}-e^x x\right)+\log (\log (x))","\log \left(\frac{3}{2} \left(\frac{x}{2}-e^{\frac{e^4}{x}-x}\right) x^2 \log (x)\right)",1,"-x + 2*Log[x] + Log[2*E^(E^4/x) - E^x*x] + Log[Log[x]]","A",1
3843,1,13,12,0.1400995,"\int \frac{1-4 x-2 x^2}{2 x-4 x^2-x^3+x \log (x)} \, dx","Integrate[(1 - 4*x - 2*x^2)/(2*x - 4*x^2 - x^3 + x*Log[x]),x]","\log \left(x^2+4 x-\log (x)-2\right)","\log (-((x+5) x)+x+\log (x)+2)",1,"Log[-2 + 4*x + x^2 - Log[x]]","A",1
3844,1,17,18,0.0264449,"\int e^{-x^2} \left(10 x+e^{x^2} \left(1+2 x+3 x^2\right)\right) \, dx","Integrate[(10*x + E^x^2*(1 + 2*x + 3*x^2))/E^x^2,x]","x^3+x^2-5 e^{-x^2}+x","\left(x^2+x\right) x-5 e^{-x^2}+x",1,"-5/E^x^2 + x + x^2 + x^3","A",1
3845,1,47,35,0.8954475,"\int \frac{e^{-6-2 x} \left(120+105 x+18 x^2+4 e^{6+2 x} x^3+\left(-70-68 x-12 x^2\right) \log (x)+\left(10+11 x+2 x^2\right) \log ^2(x)\right)}{3 x^3} \, dx","Integrate[(E^(-6 - 2*x)*(120 + 105*x + 18*x^2 + 4*E^(6 + 2*x)*x^3 + (-70 - 68*x - 12*x^2)*Log[x] + (10 + 11*x + 2*x^2)*Log[x]^2))/(3*x^3),x]","\frac{e^{-2 (x+3)} \left(4 e^{2 x+6} x^3-9 x-(x+5) \log ^2(x)+6 (x+5) \log (x)-45\right)}{3 x^2}","\frac{1}{3} (x+5) \left(3-\frac{e^{-2 x-6} (3-\log (x))^2}{x^2}\right)+\frac{x}{3}",1,"(-45 - 9*x + 4*E^(6 + 2*x)*x^3 + 6*(5 + x)*Log[x] - (5 + x)*Log[x]^2)/(3*E^(2*(3 + x))*x^2)","A",1
3846,1,10,12,0.0015653,"\int -\frac{2 e^{\frac{1}{3} (15-\log (x))}}{3 x} \, dx","Integrate[(-2*E^((15 - Log[x])/3))/(3*x),x]","\frac{2 e^5}{\sqrt[3]{x}}","\frac{2 e^5}{\sqrt[3]{x}}+3",1,"(2*E^5)/x^(1/3)","A",1
3847,1,29,29,0.0240529,"\int \frac{e^{\frac{5-x \log (3)}{\log (3)}} \left(-15-15 x-10 x^2+\left(2+2 x-2 x^2\right) \log (2)+(1+x) \log ^2(2)\right)}{x^2} \, dx","Integrate[(E^((5 - x*Log[3])/Log[3])*(-15 - 15*x - 10*x^2 + (2 + 2*x - 2*x^2)*Log[2] + (1 + x)*Log[2]^2))/x^2,x]","\frac{(5+\log (2)) e^{\frac{5}{\log (3)}-x} (2 x+3-\log (2))}{x}","\frac{(5+\log (2)) e^{\frac{5}{\log (3)}-x} (2 x+3-\log (2))}{x}",1,"(E^(-x + 5/Log[3])*(3 + 2*x - Log[2])*(5 + Log[2]))/x","A",1
3848,1,17,17,0.0195876,"\int e^{-2+e^x} \left(\left(216+432 x+288 x^2+64 x^3\right) \log (9)+e^x \left(81+216 x+216 x^2+96 x^3+16 x^4\right) \log (9)\right) \, dx","Integrate[E^(-2 + E^x)*((216 + 432*x + 288*x^2 + 64*x^3)*Log[9] + E^x*(81 + 216*x + 216*x^2 + 96*x^3 + 16*x^4)*Log[9]),x]","e^{e^x-2} (2 x+3)^4 \log (9)","e^{e^x-2} (2 x+3)^4 \log (9)",1,"E^(-2 + E^x)*(3 + 2*x)^4*Log[9]","A",1
3849,1,27,22,0.2060063,"\int \frac{1}{3} \left(-3+e^{\frac{1}{3} \left(e^{2 x}-10 x+e^x (-5+2 x)\right)} \left(-10+2 e^{2 x}+e^x (-3+2 x)\right)\right) \, dx","Integrate[(-3 + E^((E^(2*x) - 10*x + E^x*(-5 + 2*x))/3)*(-10 + 2*E^(2*x) + E^x*(-3 + 2*x)))/3,x]","e^{\frac{1}{3} e^x \left(2 x+e^x-5\right)-\frac{10 x}{3}}-x","e^{\frac{1}{3} \left(e^x-5\right) \left(2 x+e^x\right)}-x",1,"E^((-10*x)/3 + (E^x*(-5 + E^x + 2*x))/3) - x","A",1
3850,1,16,20,0.066204,"\int e^{40-16 x^2+2 x^4} \left(32 x-8 x^3\right) \, dx","Integrate[E^(40 - 16*x^2 + 2*x^4)*(32*x - 8*x^3),x]","-e^{2 x^4-16 x^2+40}","\log (2)-e^{2 \left(4-x^2\right)^2+8}",1,"-E^(40 - 16*x^2 + 2*x^4)","A",1
3851,1,27,21,0.0015766,"\int \frac{1}{2} \left(-1+e^2-e^{25}+2 x-9 x^2\right) \, dx","Integrate[(-1 + E^2 - E^25 + 2*x - 9*x^2)/2,x]","\frac{1}{2} \left(-3 x^3+x^2-e^{25} x+e^2 x-x\right)","\frac{1}{2} x \left(-3 x^2+x-e^{25}+e^2-1\right)",1,"(-x + E^2*x - E^25*x + x^2 - 3*x^3)/2","A",1
3852,1,24,26,0.0763911,"\int \frac{e^{-\frac{16-x^3}{x}} \left(240+3 e^{\frac{16-x^3}{x}} x^2+30 x^3+e^{x+\frac{16-x^3}{x}} \left(5 x^2+3 x^3\right)\right)}{3 x^2} \, dx","Integrate[(240 + 3*E^((16 - x^3)/x)*x^2 + 30*x^3 + E^(x + (16 - x^3)/x)*(5*x^2 + 3*x^3))/(3*E^((16 - x^3)/x)*x^2),x]","5 e^{x^2-\frac{16}{x}}+x+e^x \left(x+\frac{2}{3}\right)","5 e^{x^2-\frac{16}{x}}+\left(e^x+1\right) \left(x+\frac{2}{3}\right)+4",1,"5*E^(-16/x + x^2) + x + E^x*(2/3 + x)","A",1
3853,1,27,32,0.1340652,"\int \frac{\exp \left(e^{5 e^{e^{\frac{9+8 x^2+3 e^5 x^2}{x^3}}}}+5 e^{e^{\frac{9+8 x^2+3 e^5 x^2}{x^3}}}+e^{\frac{9+8 x^2+3 e^5 x^2}{x^3}}+\frac{9+8 x^2+3 e^5 x^2}{x^3}\right) \left(-135-40 x^2-15 e^5 x^2\right)}{x^4} \, dx","Integrate[(E^(E^(5*E^E^((9 + 8*x^2 + 3*E^5*x^2)/x^3)) + 5*E^E^((9 + 8*x^2 + 3*E^5*x^2)/x^3) + E^((9 + 8*x^2 + 3*E^5*x^2)/x^3) + (9 + 8*x^2 + 3*E^5*x^2)/x^3)*(-135 - 40*x^2 - 15*E^5*x^2))/x^4,x]","e^{e^{5 e^{e^{\frac{9}{x^3}+\frac{8+3 e^5}{x}}}}}","e^{e^{5 e^{e^{\frac{\frac{9}{x^2}+3 e^5+5}{x}+\frac{3}{x}}}}}",1,"E^E^(5*E^E^(9/x^3 + (8 + 3*E^5)/x))","A",1
3854,1,17,19,0.8119934,"\int \frac{e^{-3-3 x+\frac{e^{-3-3 x} x}{\log (4 x)}} (-1+(1-3 x) \log (4 x))}{\log ^2(4 x)} \, dx","Integrate[(E^(-3 - 3*x + (E^(-3 - 3*x)*x)/Log[4*x])*(-1 + (1 - 3*x)*Log[4*x]))/Log[4*x]^2,x]","e^{\frac{e^{-3 x-3} x}{\log (4 x)}}","e^{\frac{e^{-3 x-3} x}{\log (4 x)}}+3",1,"E^((E^(-3 - 3*x)*x)/Log[4*x])","A",1
3855,1,25,28,0.9676249,"\int \frac{1464843750 x^2+e^8 \left(-46875000000 x+187500000 x^2-187500 x^3\right)+e^{16} \left(375000000000-3000000000 x+9000000 x^2-12000 x^3+6 x^4\right)+e^x \left(244140625 x-244140625 x^2+e^8 \left(3921875000 x-15656250 x^2+15625 x^3\right)\right)}{244140625 x^3+e^8 \left(-7812500000 x^2+31250000 x^3-31250 x^4\right)+e^{16} \left(62500000000 x-500000000 x^2+1500000 x^3-2000 x^4+x^5\right)} \, dx","Integrate[(1464843750*x^2 + E^8*(-46875000000*x + 187500000*x^2 - 187500*x^3) + E^16*(375000000000 - 3000000000*x + 9000000*x^2 - 12000*x^3 + 6*x^4) + E^x*(244140625*x - 244140625*x^2 + E^8*(3921875000*x - 15656250*x^2 + 15625*x^3)))/(244140625*x^3 + E^8*(-7812500000*x^2 + 31250000*x^3 - 31250*x^4) + E^16*(62500000000*x - 500000000*x^2 + 1500000*x^3 - 2000*x^4 + x^5)),x]","\frac{15625 e^x}{e^8 (x-500)^2-15625 x}+6 \log (x)","\frac{e^x}{e^8 \left(4-\frac{x}{125}\right)^2-x}+6 \log (x)",1,"(15625*E^x)/(E^8*(-500 + x)^2 - 15625*x) + 6*Log[x]","A",1
3856,1,33,27,0.1980986,"\int \frac{4 e^{20+4 x}+96 x+16 e^{15+3 x} x-140 x^2-8 x^3+4 x^4+e^{10+2 x} \left(-48-104 x+24 x^2\right)+e^{5+x} \left(-192 x-112 x^2+16 x^3\right)+\left(-4 e^{20+4 x}-16 e^{15+3 x} x-4 x^2+8 x^3-4 x^4+e^{10+2 x} \left(8 x-24 x^2\right)+e^{5+x} \left(16 x^2-16 x^3\right)\right) \log (x)}{e^{20+4 x} x^2+4 e^{15+3 x} x^3+x^4-2 x^5+x^6+e^{10+2 x} \left(-2 x^3+6 x^4\right)+e^{5+x} \left(-4 x^4+4 x^5\right)} \, dx","Integrate[(4*E^(20 + 4*x) + 96*x + 16*E^(15 + 3*x)*x - 140*x^2 - 8*x^3 + 4*x^4 + E^(10 + 2*x)*(-48 - 104*x + 24*x^2) + E^(5 + x)*(-192*x - 112*x^2 + 16*x^3) + (-4*E^(20 + 4*x) - 16*E^(15 + 3*x)*x - 4*x^2 + 8*x^3 - 4*x^4 + E^(10 + 2*x)*(8*x - 24*x^2) + E^(5 + x)*(16*x^2 - 16*x^3))*Log[x])/(E^(20 + 4*x)*x^2 + 4*E^(15 + 3*x)*x^3 + x^4 - 2*x^5 + x^6 + E^(10 + 2*x)*(-2*x^3 + 6*x^4) + E^(5 + x)*(-4*x^4 + 4*x^5)),x]","\frac{4 \left(\frac{12}{2 e^{x+5} x+(x-1) x+e^{2 (x+5)}}+\log (x)\right)}{x}","\frac{4 \left(\log (x)-\frac{12}{x-\left(x+e^{x+5}\right)^2}\right)}{x}+6",1,"(4*(12/(E^(2*(5 + x)) + 2*E^(5 + x)*x + (-1 + x)*x) + Log[x]))/x","A",1
3857,0,0,23,2.1191865,"\int \frac{-4 x^5-4 x^4 \log (3)+e^x (50 x+25 \log (3))+e^x \left(25 x^2+25 x \log (3)\right) \log \left(x^2+x \log (3)\right)}{-x^6-x^5 \log (3)+e^x \left(25 x^2+25 x \log (3)\right) \log \left(x^2+x \log (3)\right)} \, dx","Integrate[(-4*x^5 - 4*x^4*Log[3] + E^x*(50*x + 25*Log[3]) + E^x*(25*x^2 + 25*x*Log[3])*Log[x^2 + x*Log[3]])/(-x^6 - x^5*Log[3] + E^x*(25*x^2 + 25*x*Log[3])*Log[x^2 + x*Log[3]]),x]","\int \frac{-4 x^5-4 x^4 \log (3)+e^x (50 x+25 \log (3))+e^x \left(25 x^2+25 x \log (3)\right) \log \left(x^2+x \log (3)\right)}{-x^6-x^5 \log (3)+e^x \left(25 x^2+25 x \log (3)\right) \log \left(x^2+x \log (3)\right)} \, dx","\log \left(\log (x (x+\log (3)))-\frac{1}{25} e^{-x} x^4\right)+x",1,"Integrate[(-4*x^5 - 4*x^4*Log[3] + E^x*(50*x + 25*Log[3]) + E^x*(25*x^2 + 25*x*Log[3])*Log[x^2 + x*Log[3]])/(-x^6 - x^5*Log[3] + E^x*(25*x^2 + 25*x*Log[3])*Log[x^2 + x*Log[3]]), x]","F",-1
3858,1,29,31,0.0152556,"\int \frac{e^{\frac{1}{15} \left(35 e^{\frac{e^6}{4}}+3 x\right)} \left(20+4 x-4 x^2\right)}{5-10 x+5 x^2} \, dx","Integrate[(E^((35*E^(E^6/4) + 3*x)/15)*(20 + 4*x - 4*x^2))/(5 - 10*x + 5*x^2),x]","-\frac{4 e^{\frac{x}{5}+\frac{7 e^{\frac{e^6}{4}}}{3}} x}{x-1}","\frac{4 e^{\frac{x}{5}+\frac{7 e^{\frac{e^6}{4}}}{3}} x}{1-x}",1,"(-4*E^((7*E^(E^6/4))/3 + x/5)*x)/(-1 + x)","A",1
3859,1,48,31,0.0949489,"\int \frac{-100 x+40 x^2+e^{12 x^4} \left(-100 x+20 x^2+2400 x^5-960 x^6+96 x^7\right)+e^{6 x^4} \left(-200 x+60 x^2+2400 x^5-1440 x^6+192 x^7\right)}{625-1000 x+350 x^2+40 x^3+x^4+e^{6 x^4} \left(2500-3500 x+1300 x^2-100 x^3-8 x^4\right)+e^{24 x^4} \left(625-500 x+150 x^2-20 x^3+x^4\right)+e^{18 x^4} \left(2500-2500 x+900 x^2-140 x^3+8 x^4\right)+e^{12 x^4} \left(3750-4500 x+1700 x^2-260 x^3+14 x^4\right)} \, dx","Integrate[(-100*x + 40*x^2 + E^(12*x^4)*(-100*x + 20*x^2 + 2400*x^5 - 960*x^6 + 96*x^7) + E^(6*x^4)*(-200*x + 60*x^2 + 2400*x^5 - 1440*x^6 + 192*x^7))/(625 - 1000*x + 350*x^2 + 40*x^3 + x^4 + E^(6*x^4)*(2500 - 3500*x + 1300*x^2 - 100*x^3 - 8*x^4) + E^(24*x^4)*(625 - 500*x + 150*x^2 - 20*x^3 + x^4) + E^(18*x^4)*(2500 - 2500*x + 900*x^2 - 140*x^3 + 8*x^4) + E^(12*x^4)*(3750 - 4500*x + 1700*x^2 - 260*x^3 + 14*x^4)),x]","-\frac{2 x^2}{e^{12 x^4} (x-5)^2-x^2+e^{6 x^4} \left(4 x^2-30 x+50\right)-20 x+25}","\frac{2}{5-\left(\frac{-e^{6 x^4} (x-5)+x+5}{x}-3\right)^2}",1,"(-2*x^2)/(25 + E^(12*x^4)*(-5 + x)^2 - 20*x - x^2 + E^(6*x^4)*(50 - 30*x + 4*x^2))","A",1
3860,1,40,29,0.1234823,"\int \frac{e^{84+2 x} \left(4 x^4-2 x^5\right)+e^{42+x} \left(4 x^6-2 x^7\right)+e^{x^2} \left(2 x^7-4 x^9+e^{126+3 x} \left(2 x-4 x^3\right)+e^{84+2 x} \left(6 x^3-12 x^5\right)+e^{42+x} \left(6 x^5-12 x^7\right)\right)}{-x^9+e^{3 x^2} \left(e^{126+3 x}+3 e^{84+2 x} x^2+3 e^{42+x} x^4+x^6\right)+e^{2 x^2} \left(-3 e^{84+2 x} x^3-6 e^{42+x} x^5-3 x^7\right)+e^{x^2} \left(3 e^{42+x} x^6+3 x^8\right)} \, dx","Integrate[(E^(84 + 2*x)*(4*x^4 - 2*x^5) + E^(42 + x)*(4*x^6 - 2*x^7) + E^x^2*(2*x^7 - 4*x^9 + E^(126 + 3*x)*(2*x - 4*x^3) + E^(84 + 2*x)*(6*x^3 - 12*x^5) + E^(42 + x)*(6*x^5 - 12*x^7)))/(-x^9 + E^(3*x^2)*(E^(126 + 3*x) + 3*E^(84 + 2*x)*x^2 + 3*E^(42 + x)*x^4 + x^6) + E^(2*x^2)*(-3*E^(84 + 2*x)*x^3 - 6*E^(42 + x)*x^5 - 3*x^7) + E^x^2*(3*E^(42 + x)*x^6 + 3*x^8)),x]","\frac{x^2 \left(x^2+e^{x+42}\right)^2}{\left(-x^3+e^{x^2} x^2+e^{x^2+x+42}\right)^2}","\frac{x^2}{\left(\frac{x^3}{x^2+e^{x+42}}-e^{x^2}\right)^2}",1,"(x^2*(E^(42 + x) + x^2)^2)/(E^(42 + x + x^2) + E^x^2*x^2 - x^3)^2","A",1
3861,1,32,24,0.0900776,"\int \frac{-189-198 x+e^4 \left(22 x+23 x^2\right)+\left(-9-9 x+e^4 \left(x+x^2\right)\right) \log \left(\frac{9 x+9 x^2+e^4 \left(-x^2-x^3\right)}{e^4}\right)}{-180-180 x+e^4 \left(20 x+20 x^2\right)} \, dx","Integrate[(-189 - 198*x + E^4*(22*x + 23*x^2) + (-9 - 9*x + E^4*(x + x^2))*Log[(9*x + 9*x^2 + E^4*(-x^2 - x^3))/E^4])/(-180 - 180*x + E^4*(20*x + 20*x^2)),x]","\frac{1}{20} \left(x \log \left(x \left(-e^4 x^2+\left(9-e^4\right) x+9\right)\right)+16 x\right)","\frac{1}{20} x \log \left(\left(\frac{9}{e^4}-x\right) \left(x^2+x\right)\right)+x+3",1,"(16*x + x*Log[x*(9 + (9 - E^4)*x - E^4*x^2)])/20","A",1
3862,1,21,21,0.1408365,"\int \frac{6340+144 e^{2 x}-640 x+16 x^2+e^x (-1911+87 x)}{6400+144 e^{2 x}-640 x+16 x^2+e^x (-1920+96 x)} \, dx","Integrate[(6340 + 144*E^(2*x) - 640*x + 16*x^2 + E^x*(-1911 + 87*x))/(6400 + 144*E^(2*x) - 640*x + 16*x^2 + E^x*(-1920 + 96*x)),x]","\frac{1}{16} \left(\frac{3 x}{x+3 e^x-20}+16 x\right)","\frac{x}{16 \left(\frac{x-5}{3}+e^x-5\right)}+x",1,"(16*x + (3*x)/(-20 + 3*E^x + x))/16","A",1
3863,1,51,32,0.3563415,"\int \frac{e^{-x} \left(768 x^2-128 x^3+52 x^4-2 x^5+e^x \left(-32 x-98 x^3+4 x^4\right)+e^x \left(-768+32 x+48 x^2-2 x^3\right) \log \left(\frac{1}{3} (-24+x)\right)\right)}{-24 x^2+x^3} \, dx","Integrate[(768*x^2 - 128*x^3 + 52*x^4 - 2*x^5 + E^x*(-32*x - 98*x^3 + 4*x^4) + E^x*(-768 + 32*x + 48*x^2 - 2*x^3)*Log[(-24 + x)/3])/(E^x*(-24*x^2 + x^3)),x]","2 \left(x^2+e^{-x} \left(x^2+16\right)-24 \log (24-x)-(x-24) \log \left(\frac{x}{3}-8\right)-\frac{16 \log \left(\frac{x}{3}-8\right)}{x}\right)","\log \left(e^{2 x+\frac{32}{x}}\right) \left(e^{-x} x+x-\log \left(\frac{x}{3}-8\right)\right)",1,"2*(x^2 + (16 + x^2)/E^x - 24*Log[24 - x] - (-24 + x)*Log[-8 + x/3] - (16*Log[-8 + x/3])/x)","A",1
3864,1,38,31,0.0422174,"\int \frac{625+(13500+7500 x) \log (2)+\left(97200+108000 x+37200 x^2\right) \log ^2(2)+\left(233280+388800 x+216000 x^2+68800 x^3\right) \log ^3(2)}{125 x^2+\left(2700 x^2+1500 x^3\right) \log (2)+\left(19440 x^2+21600 x^3+6000 x^4\right) \log ^2(2)+\left(46656 x^2+77760 x^3+43200 x^4+8000 x^5\right) \log ^3(2)} \, dx","Integrate[(625 + (13500 + 7500*x)*Log[2] + (97200 + 108000*x + 37200*x^2)*Log[2]^2 + (233280 + 388800*x + 216000*x^2 + 68800*x^3)*Log[2]^3)/(125*x^2 + (2700*x^2 + 1500*x^3)*Log[2] + (19440*x^2 + 21600*x^3 + 6000*x^4)*Log[2]^2 + (46656*x^2 + 77760*x^3 + 43200*x^4 + 8000*x^5)*Log[2]^3),x]","5 \left(-\frac{1}{x}-\frac{72 \log (2) (20 x \log (2)+5+18 \log (2))}{5 (20 x \log (2)+5+36 \log (2))^2}\right)","\frac{x^2}{\left(x+\frac{9}{\frac{5}{4 x \log (2)}+5}\right)^2}-\frac{5}{x}",1,"5*(-x^(-1) - (72*Log[2]*(5 + 18*Log[2] + 20*x*Log[2]))/(5*(5 + 36*Log[2] + 20*x*Log[2])^2))","A",1
3865,1,50,19,0.0292597,"\int e^{-4 x+e^4 x+e^6 x} \left(1-4 x+e^4 x+e^6 x+\left(4-e^4-e^6\right) \log (4)\right) \, dx","Integrate[E^(-4*x + E^4*x + E^6*x)*(1 - 4*x + E^4*x + E^6*x + (4 - E^4 - E^6)*Log[4]),x]","\frac{e^{\left(-4+e^4+e^6\right) x} \left(\left(-4+e^4+e^6\right) x+\log (256)-e^6 \log (4)-e^4 \log (4)\right)}{-4+e^4+e^6}","e^{\left(-4+e^4+e^6\right) x} (x-\log (4))",1,"(E^((-4 + E^4 + E^6)*x)*((-4 + E^4 + E^6)*x - E^4*Log[4] - E^6*Log[4] + Log[256]))/(-4 + E^4 + E^6)","B",1
3866,1,28,27,0.2620421,"\int \frac{-7938-11250 e^8-18900 x-11250 x^2+e^4 (18900+22500 x)+e^{-\frac{50 x}{-21+25 e^4-25 x}} \left(-882-1250 e^8-1050 x-1250 x^2+e^4 (2100+1250 x)\right)+e^{-\frac{25 x}{-21+25 e^4-25 x}} \left(-5292-7500 e^8-9450 x-7500 x^2+e^4 (12600+11250 x)\right)}{3969 x^3+5625 e^8 x^3+9450 x^4+5625 x^5+e^4 \left(-9450 x^3-11250 x^4\right)} \, dx","Integrate[(-7938 - 11250*E^8 - 18900*x - 11250*x^2 + E^4*(18900 + 22500*x) + (-882 - 1250*E^8 - 1050*x - 1250*x^2 + E^4*(2100 + 1250*x))/E^((50*x)/(-21 + 25*E^4 - 25*x)) + (-5292 - 7500*E^8 - 9450*x - 7500*x^2 + E^4*(12600 + 11250*x))/E^((25*x)/(-21 + 25*E^4 - 25*x)))/(3969*x^3 + 5625*E^8*x^3 + 9450*x^4 + 5625*x^5 + E^4*(-9450*x^3 - 11250*x^4)),x]","\frac{\left(e^{\frac{25 x}{25 x-25 e^4+21}}+3\right)^2}{9 x^2}","\frac{\left(e^{\frac{x}{x-e^4+\frac{21}{25}}}+3\right)^2}{9 x^2}",1,"(3 + E^((25*x)/(21 - 25*E^4 + 25*x)))^2/(9*x^2)","A",1
3867,1,22,24,0.4846655,"\int \frac{7 x+e^{\log ^2\left(x^2\right)} \left(3 x+(4-12 x) \log \left(x^2\right)\right)}{12 x+3 e^{2 \log ^2\left(x^2\right)} x+12 x^2+3 x^3+e^{\log ^2\left(x^2\right)} \left(12 x+6 x^2\right)} \, dx","Integrate[(7*x + E^Log[x^2]^2*(3*x + (4 - 12*x)*Log[x^2]))/(12*x + 3*E^(2*Log[x^2]^2)*x + 12*x^2 + 3*x^3 + E^Log[x^2]^2*(12*x + 6*x^2)),x]","\frac{3 x-1}{3 \left(e^{\log ^2\left(x^2\right)}+x+2\right)}","\frac{3 x-1}{3 \left(e^{\log ^2\left(x^2\right)}+2\right)+3 x}",1,"(-1 + 3*x)/(3*(2 + E^Log[x^2]^2 + x))","A",1
3868,1,31,26,0.0268071,"\int \frac{-4-x^2+e^{e^x+x} x^2+e^{3+x} \left(-128+128 x-64 x^2\right)}{x^2} \, dx","Integrate[(-4 - x^2 + E^(E^x + x)*x^2 + E^(3 + x)*(-128 + 128*x - 64*x^2))/x^2,x]","-x+e^{e^x}-64 e^{x+3}+\frac{128 e^{x+3}}{x}+\frac{4}{x}","\frac{(2-x) \left(x+64 e^{x+3}+2\right)}{x}+e^{e^x}-5",1,"E^E^x - 64*E^(3 + x) + 4/x + (128*E^(3 + x))/x - x","A",1
3869,1,23,25,0.5288297,"\int \frac{80 e^{2 x}+160 e^x x+80 x^2+\left(e^{2 x} (40-160 x)+40 x-160 x^2+e^x \left(40-120 x-160 x^2\right)\right) \log (-3+12 x)+(-3+12 x) \log ^2(-3+12 x)}{(-2+8 x) \log ^2(-3+12 x)} \, dx","Integrate[(80*E^(2*x) + 160*E^x*x + 80*x^2 + (E^(2*x)*(40 - 160*x) + 40*x - 160*x^2 + E^x*(40 - 120*x - 160*x^2))*Log[-3 + 12*x] + (-3 + 12*x)*Log[-3 + 12*x]^2)/((-2 + 8*x)*Log[-3 + 12*x]^2),x]","\frac{3 x}{2}-\frac{10 \left(x+e^x\right)^2}{\log (12 x-3)}","x+\frac{1}{2} \left(x-\frac{20 \left(x+e^x\right)^2}{\log (12 x-3)}\right)",1,"(3*x)/2 - (10*(E^x + x)^2)/Log[-3 + 12*x]","A",1
3870,1,32,19,0.1192128,"\int \frac{3+117 x+30 x^2-45 x^3+\left(24 x+6 x^2-9 x^3\right) \log (3 x)+(-15 x-3 x \log (3 x)) \log (5+\log (3 x))}{5 x+x \log (3 x)} \, dx","Integrate[(3 + 117*x + 30*x^2 - 45*x^3 + (24*x + 6*x^2 - 9*x^3)*Log[3*x] + (-15*x - 3*x*Log[3*x])*Log[5 + Log[3*x]])/(5*x + x*Log[3*x]),x]","-3 \left(x^3-x^2-8 x+x \log (\log (3 x)+5)-\log (\log (3 x)+5)\right)","3 (1-x) \left(x^2+\log (\log (3 x)+5)-8\right)",1,"-3*(-8*x - x^2 + x^3 - Log[5 + Log[3*x]] + x*Log[5 + Log[3*x]])","A",1
3871,1,34,31,0.1366063,"\int \frac{\left(-323 x+160 x^2-16 x^3\right)^{2-5^{\frac{1}{x}}} \left(323 x-480 x^2+80 x^3+5^{\frac{1}{x}} \left(-323 x+320 x^2-48 x^3\right)+5^{\frac{1}{x}} \left(323-160 x+16 x^2\right) \log (5) \log \left(-323 x+160 x^2-16 x^3\right)\right)}{323 x^3-160 x^4+16 x^5} \, dx","Integrate[((-323*x + 160*x^2 - 16*x^3)^(2 - 5^x^(-1))*(323*x - 480*x^2 + 80*x^3 + 5^x^(-1)*(-323*x + 320*x^2 - 48*x^3) + 5^x^(-1)*(323 - 160*x + 16*x^2)*Log[5]*Log[-323*x + 160*x^2 - 16*x^3]))/(323*x^3 - 160*x^4 + 16*x^5),x]","x \left(x \left(-16 x^2+160 x-323\right)\right)^{-5^{\frac{1}{x}}} \left(16 x^2-160 x+323\right)^2","\frac{\left(\left(16 \left(5-(5-x)^2\right)-3\right) x\right)^{2-5^{\frac{1}{x}}}}{x}",1,"(x*(323 - 160*x + 16*x^2)^2)/(x*(-323 + 160*x - 16*x^2))^5^x^(-1)","A",1
3872,1,43,31,0.0709301,"\int \frac{\left(-12+24 x-12 x^2-12 x^3-2 x^4\right) \log \left(e^{2 x} x^2\right)+\left(-12+18 x+22 x^2-20 x^3-14 x^4-2 x^5\right) \log \left(\frac{3 x-3 x^2-x^3}{-2+3 x+x^2}\right)}{\left(6 x-15 x^2+4 x^3+6 x^4+x^5\right) \log \left(e^{2 x} x^2\right) \log \left(\frac{3 x-3 x^2-x^3}{-2+3 x+x^2}\right)} \, dx","Integrate[((-12 + 24*x - 12*x^2 - 12*x^3 - 2*x^4)*Log[E^(2*x)*x^2] + (-12 + 18*x + 22*x^2 - 20*x^3 - 14*x^4 - 2*x^5)*Log[(3*x - 3*x^2 - x^3)/(-2 + 3*x + x^2)])/((6*x - 15*x^2 + 4*x^3 + 6*x^4 + x^5)*Log[E^(2*x)*x^2]*Log[(3*x - 3*x^2 - x^3)/(-2 + 3*x + x^2)]),x]","2 \left(-\frac{1}{2} \log \left(\log \left(e^{2 x} x^2\right)\right)-\log \left(\log \left(-\frac{x \left(x^2+3 x-3\right)}{x^2+3 x-2}\right)\right)\right)","\log \left(\frac{1}{\log \left(e^{2 x} x^2\right) \log ^2\left(\frac{1}{x-\frac{2}{x}+3}-x\right)}\right)",1,"2*(-1/2*Log[Log[E^(2*x)*x^2]] - Log[Log[-((x*(-3 + 3*x + x^2))/(-2 + 3*x + x^2))]])","A",1
3873,1,33,31,0.4463828,"\int \frac{\log (x)+e^{e^{3 x}} \left(-2 e^5+\left(2-2 e^5+6 e^{5+3 x} x\right) \log (x)+\left(2-6 e^{3 x} x\right) \log ^2(x)\right)+e^{e^{3 x}} \left(-e^5+\left(1-e^5+3 e^{5+3 x} x\right) \log (x)+\left(1-3 e^{3 x} x\right) \log ^2(x)\right) \log \left(-e^5+\log (x)\right)+\left(2 e^5+\left(-2+2 e^5\right) \log (x)-2 \log ^2(x)+\left(e^5+\left(-1+e^5\right) \log (x)-\log ^2(x)\right) \log \left(-e^5+\log (x)\right)\right) \log \left(2+\log \left(-e^5+\log (x)\right)\right)}{e^{e^{3 x}} \left(2 e^5 x \log (x)-2 x \log ^2(x)\right)+e^{e^{3 x}} \left(e^5 x \log (x)-x \log ^2(x)\right) \log \left(-e^5+\log (x)\right)+\left(-2 e^5 x \log (x)+2 x \log ^2(x)+\left(-e^5 x \log (x)+x \log ^2(x)\right) \log \left(-e^5+\log (x)\right)\right) \log \left(2+\log \left(-e^5+\log (x)\right)\right)} \, dx","Integrate[(Log[x] + E^E^(3*x)*(-2*E^5 + (2 - 2*E^5 + 6*E^(5 + 3*x)*x)*Log[x] + (2 - 6*E^(3*x)*x)*Log[x]^2) + E^E^(3*x)*(-E^5 + (1 - E^5 + 3*E^(5 + 3*x)*x)*Log[x] + (1 - 3*E^(3*x)*x)*Log[x]^2)*Log[-E^5 + Log[x]] + (2*E^5 + (-2 + 2*E^5)*Log[x] - 2*Log[x]^2 + (E^5 + (-1 + E^5)*Log[x] - Log[x]^2)*Log[-E^5 + Log[x]])*Log[2 + Log[-E^5 + Log[x]]])/(E^E^(3*x)*(2*E^5*x*Log[x] - 2*x*Log[x]^2) + E^E^(3*x)*(E^5*x*Log[x] - x*Log[x]^2)*Log[-E^5 + Log[x]] + (-2*E^5*x*Log[x] + 2*x*Log[x]^2 + (-(E^5*x*Log[x]) + x*Log[x]^2)*Log[-E^5 + Log[x]])*Log[2 + Log[-E^5 + Log[x]]]),x]","-\log (x)-\log (\log (x))+\log \left(e^{e^{3 x}}-\log \left(\log \left(\log (x)-e^5\right)+2\right)\right)","\log \left(\frac{e^{e^{3 x}}-\log \left(\log \left(\log (x)-e^5\right)+2\right)}{x \log (x)}\right)",1,"-Log[x] - Log[Log[x]] + Log[E^E^(3*x) - Log[2 + Log[-E^5 + Log[x]]]]","A",1
3874,1,12,17,0.0101786,"\int \frac{1+e^x (4 x-4 x \log (2))}{x} \, dx","Integrate[(1 + E^x*(4*x - 4*x*Log[2]))/x,x]","\log (x)-4 e^x (\log (2)-1)","\log \left(\frac{1}{16} x e^{-4 e^x (\log (2)-1)}\right)",1,"-4*E^x*(-1 + Log[2]) + Log[x]","A",1
3875,1,18,18,0.0270488,"\int \frac{e^{9+\frac{4}{8 x+e x}} (-4+16 x+2 e x)}{8+e} \, dx","Integrate[(E^(9 + 4/(8*x + E*x))*(-4 + 16*x + 2*E*x))/(8 + E),x]","e^{\frac{4}{(8+e) x}+9} x^2","e^{\frac{4}{(8+e) x}+9} x^2",1,"E^(9 + 4/((8 + E)*x))*x^2","A",1
3876,1,22,36,0.0298601,"\int \frac{2+4 x-2 x^2-4 x^3+\left(-1-2 x+x^2+2 x^3\right) \log (4)}{-4 x^3+4 x^4+4 x^5+\left(4 x^2-4 x^3-4 x^4\right) \log \left(\frac{6-6 x-6 x^2}{x}\right)+\left(-x+x^2+x^3\right) \log ^2\left(\frac{6-6 x-6 x^2}{x}\right)} \, dx","Integrate[(2 + 4*x - 2*x^2 - 4*x^3 + (-1 - 2*x + x^2 + 2*x^3)*Log[4])/(-4*x^3 + 4*x^4 + 4*x^5 + (4*x^2 - 4*x^3 - 4*x^4)*Log[(6 - 6*x - 6*x^2)/x] + (-x + x^2 + x^3)*Log[(6 - 6*x - 6*x^2)/x]^2),x]","\frac{\log (4)-2}{\log \left(-6 x+\frac{6}{x}-6\right)-2 x}","\frac{\log (4)-2}{x \left(\frac{\log \left(3 \left(\frac{-x^2+x+2}{x}-x-3\right)\right)}{x}-2\right)}",1,"(-2 + Log[4])/(-2*x + Log[-6 + 6/x - 6*x])","A",1
3877,1,16,15,0.0027708,"\int \frac{-96+x^2-2 x^3+x^2 \log (2)}{x^2} \, dx","Integrate[(-96 + x^2 - 2*x^3 + x^2*Log[2])/x^2,x]","-x^2+x+\frac{96}{x}+x \log (2)","x+\frac{96}{x}+x (\log (2)-x)",1,"96/x + x - x^2 + x*Log[2]","A",1
3878,1,29,29,0.1289214,"\int \frac{\exp \left(\frac{1}{2} \left(-10+\log \left(15-12 x \log \left(2+\log ^2\left(4+x^2\right)\right)\right)\right)\right) \left(8 x^2 \log \left(4+x^2\right)+\left(16+4 x^2+\left(8+2 x^2\right) \log ^2\left(4+x^2\right)\right) \log \left(2+\log ^2\left(4+x^2\right)\right)\right)}{-40-10 x^2+\left(-20-5 x^2\right) \log ^2\left(4+x^2\right)+\left(32 x+8 x^3+\left(16 x+4 x^3\right) \log ^2\left(4+x^2\right)\right) \log \left(2+\log ^2\left(4+x^2\right)\right)} \, dx","Integrate[(E^((-10 + Log[15 - 12*x*Log[2 + Log[4 + x^2]^2]])/2)*(8*x^2*Log[4 + x^2] + (16 + 4*x^2 + (8 + 2*x^2)*Log[4 + x^2]^2)*Log[2 + Log[4 + x^2]^2]))/(-40 - 10*x^2 + (-20 - 5*x^2)*Log[4 + x^2]^2 + (32*x + 8*x^3 + (16*x + 4*x^3)*Log[4 + x^2]^2)*Log[2 + Log[4 + x^2]^2]),x]","\frac{\sqrt{3} \sqrt{5-4 x \log \left(\log ^2\left(x^2+4\right)+2\right)}}{e^5}","\frac{\sqrt{3} \sqrt{5-4 x \log \left(\log ^2\left(x^2+4\right)+2\right)}}{e^5}",1,"(Sqrt[3]*Sqrt[5 - 4*x*Log[2 + Log[4 + x^2]^2]])/E^5","A",1
3879,1,50,28,0.0620588,"\int \frac{-x^4+\left(200 x+30 x^2-40 x^3-x^4+2 x^5-4 x^8\right) \log (x)+\left(40 x^3+x^4-4 x^5\right) \log (x) \log \left(e^{x^4} \log (x)\right)+2 x^5 \log (x) \log ^2\left(e^{x^4} \log (x)\right)}{\left(300-60 x^2+3 x^4\right) \log (x)+\left(60 x^2-6 x^4\right) \log (x) \log \left(e^{x^4} \log (x)\right)+3 x^4 \log (x) \log ^2\left(e^{x^4} \log (x)\right)} \, dx","Integrate[(-x^4 + (200*x + 30*x^2 - 40*x^3 - x^4 + 2*x^5 - 4*x^8)*Log[x] + (40*x^3 + x^4 - 4*x^5)*Log[x]*Log[E^x^4*Log[x]] + 2*x^5*Log[x]*Log[E^x^4*Log[x]]^2)/((300 - 60*x^2 + 3*x^4)*Log[x] + (60*x^2 - 6*x^4)*Log[x]*Log[E^x^4*Log[x]] + 3*x^4*Log[x]*Log[E^x^4*Log[x]]^2),x]","\frac{x^2 \left(-x^2+x^2 \log \left(e^{x^4} \log (x)\right)+x+10\right)}{3 \left(-x^2+x^2 \log \left(e^{x^4} \log (x)\right)+10\right)}","\frac{1}{3} \left(x^2+\frac{x}{\log \left(e^{x^4} \log (x)\right)+\frac{10}{x^2}-1}\right)",1,"(x^2*(10 + x - x^2 + x^2*Log[E^x^4*Log[x]]))/(3*(10 - x^2 + x^2*Log[E^x^4*Log[x]]))","A",1
3880,1,27,28,0.0949001,"\int \frac{\left(-3 x+6 x^2-x^3+2 x^4+\left(-5 x^3+10 x^4\right) \log (4)\right) \log \left(-3-x^2-5 x^2 \log (4)\right)+\log \left(5-x+x^2\right) \left(-10 x^2+2 x^3-2 x^4+\left(-50 x^2+10 x^3-10 x^4\right) \log (4)+\left(15-3 x+8 x^2-x^3+x^4+\left(25 x^2-5 x^3+5 x^4\right) \log (4)\right) \log \left(-3-x^2-5 x^2 \log (4)\right)\right)}{\left(15-3 x+8 x^2-x^3+x^4+\left(25 x^2-5 x^3+5 x^4\right) \log (4)\right) \log ^2\left(-3-x^2-5 x^2 \log (4)\right)} \, dx","Integrate[((-3*x + 6*x^2 - x^3 + 2*x^4 + (-5*x^3 + 10*x^4)*Log[4])*Log[-3 - x^2 - 5*x^2*Log[4]] + Log[5 - x + x^2]*(-10*x^2 + 2*x^3 - 2*x^4 + (-50*x^2 + 10*x^3 - 10*x^4)*Log[4] + (15 - 3*x + 8*x^2 - x^3 + x^4 + (25*x^2 - 5*x^3 + 5*x^4)*Log[4])*Log[-3 - x^2 - 5*x^2*Log[4]]))/((15 - 3*x + 8*x^2 - x^3 + x^4 + (25*x^2 - 5*x^3 + 5*x^4)*Log[4])*Log[-3 - x^2 - 5*x^2*Log[4]]^2),x]","\frac{x \log \left(x^2-x+5\right)}{\log \left(-\left(x^2 (1+5 \log (4))\right)-3\right)}","\frac{x \log \left(x^2-x+5\right)}{\log \left(-x^2-5 x^2 \log (4)-3\right)}",1,"(x*Log[5 - x + x^2])/Log[-3 - x^2*(1 + 5*Log[4])]","A",1
3881,1,11,13,0.0024064,"\int -\frac{1}{-x+x^2} \, dx","Integrate[-(-x + x^2)^(-1),x]","\log (x)-\log (1-x)","\log \left(\frac{x}{6 (1-x)}\right)",1,"-Log[1 - x] + Log[x]","A",1
3882,1,23,23,0.0026057,"\int \frac{-67+4 e^5}{-17+34 x-17 x^2+e^5 \left(4-8 x+4 x^2\right)} \, dx","Integrate[(-67 + 4*E^5)/(-17 + 34*x - 17*x^2 + E^5*(4 - 8*x + 4*x^2)),x]","-\frac{4 e^5-67}{\left(4 e^5-17\right) (x-1)}","\frac{1+\frac{50}{17-4 e^5}}{1-x}-2",1,"-((-67 + 4*E^5)/((-17 + 4*E^5)*(-1 + x)))","A",1
3883,1,43,35,0.1010151,"\int \frac{e^{-2-\frac{1+4 x}{-1+x}} \left(-x^2-3 x^3-7 x^4+2 x^5-11 x^6+5 x^7-5 x^8+e^2 \left(16-112 x+16 x^2\right)+e^{2+\frac{1+4 x}{-1+x}} \left(x-2 x^2+x^3\right)+e \left(40 x^2+16 x^3+8 x^4+16 x^5\right)\right)}{x^2-2 x^3+x^4} \, dx","Integrate[(E^(-2 - (1 + 4*x)/(-1 + x))*(-x^2 - 3*x^3 - 7*x^4 + 2*x^5 - 11*x^6 + 5*x^7 - 5*x^8 + E^2*(16 - 112*x + 16*x^2) + E^(2 + (1 + 4*x)/(-1 + x))*(x - 2*x^2 + x^3) + E*(40*x^2 + 16*x^3 + 8*x^4 + 16*x^5)))/(x^2 - 2*x^3 + x^4),x]","\frac{e^{-\frac{5}{x-1}-6} \left(e^{\frac{5}{x-1}+6} x \log (x)-\left(x^3+x-4 e\right)^2\right)}{x}","\log (x)-\frac{e^{\frac{5}{1-x}-4} \left(\frac{x \left(x^2+1\right)}{e}-4\right)^2}{x}",1,"(E^(-6 - 5/(-1 + x))*(-(-4*E + x + x^3)^2 + E^(6 + 5/(-1 + x))*x*Log[x]))/x","A",1
3884,1,25,25,0.2278465,"\int \frac{-320-32 x+\exp \left(4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}\right) \left(-400 x-60 x^2-2 x^3-3435973836800 x^5-2834678415360 x^6-1027570925568 x^7-216426086400 x^8-29418848256 x^9-2702966784 x^{10}-170311680 x^{11}-7277568 x^{12}-202080 x^{13}-3296 x^{14}-24 x^{15}\right)}{-4096+768 \exp \left(4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}\right) x^2-48 \exp \left(8589934592 x^4+4294967296 x^5+939524096 x^6+117440512 x^7+9175040 x^8+458752 x^9+14336 x^{10}+256 x^{11}+2 x^{12}\right) x^4+\exp \left(12884901888 x^4+6442450944 x^5+1409286144 x^6+176160768 x^7+13762560 x^8+688128 x^9+21504 x^{10}+384 x^{11}+3 x^{12}\right) x^6} \, dx","Integrate[(-320 - 32*x + E^(4294967296*x^4 + 2147483648*x^5 + 469762048*x^6 + 58720256*x^7 + 4587520*x^8 + 229376*x^9 + 7168*x^10 + 128*x^11 + x^12)*(-400*x - 60*x^2 - 2*x^3 - 3435973836800*x^5 - 2834678415360*x^6 - 1027570925568*x^7 - 216426086400*x^8 - 29418848256*x^9 - 2702966784*x^10 - 170311680*x^11 - 7277568*x^12 - 202080*x^13 - 3296*x^14 - 24*x^15))/(-4096 + 768*E^(4294967296*x^4 + 2147483648*x^5 + 469762048*x^6 + 58720256*x^7 + 4587520*x^8 + 229376*x^9 + 7168*x^10 + 128*x^11 + x^12)*x^2 - 48*E^(8589934592*x^4 + 4294967296*x^5 + 939524096*x^6 + 117440512*x^7 + 9175040*x^8 + 458752*x^9 + 14336*x^10 + 256*x^11 + 2*x^12)*x^4 + E^(12884901888*x^4 + 6442450944*x^5 + 1409286144*x^6 + 176160768*x^7 + 13762560*x^8 + 688128*x^9 + 21504*x^10 + 384*x^11 + 3*x^12)*x^6),x]","\frac{(x+10)^2}{\left(e^{x^4 (x+16)^8} x^2-16\right)^2}","\frac{(x+10)^2}{\left(e^{x^4 (x+16)^8} x^2-16\right)^2}",1,"(10 + x)^2/(-16 + E^(x^4*(16 + x)^8)*x^2)^2","A",1
3885,1,71,24,0.0604295,"\int \frac{-512+88 x+21 x^2-2 x^3+(256-64 x) \log \left(8 x-x^2\right)}{-8 x+x^2} \, dx","Integrate[(-512 + 88*x + 21*x^2 - 2*x^3 + (256 - 64*x)*Log[8*x - x^2])/(-8*x + x^2),x]","-x^2+5 x+16 \log ^2(x-8)+16 \log ^2(x)+32 \log (8) \log (8-x)+64 \log (x)+32 \log (x-8) \left(\log \left(\frac{x}{8}\right)-\log (-((x-8) x))+2\right)-32 \log (x) \log (-((x-8) x))","-x^2+5 x-16 (\log ((8-x) x)-2)^2+4",1,"5*x - x^2 + 32*Log[8]*Log[8 - x] + 16*Log[-8 + x]^2 + 64*Log[x] + 16*Log[x]^2 + 32*Log[-8 + x]*(2 + Log[x/8] - Log[-((-8 + x)*x)]) - 32*Log[x]*Log[-((-8 + x)*x)]","B",1
3886,1,29,19,0.1803864,"\int \frac{(-6-6 x) \log (16)+(-6-6 x) \log (1+x)+(9-6 x) \log (-3+2 x)}{\left(\left(-3-x+2 x^2\right) \log ^2(16)+\left(-6-2 x+4 x^2\right) \log (16) \log (1+x)+\left(-3-x+2 x^2\right) \log ^2(1+x)\right) \log ^2(-3+2 x)} \, dx","Integrate[((-6 - 6*x)*Log[16] + (-6 - 6*x)*Log[1 + x] + (9 - 6*x)*Log[-3 + 2*x])/(((-3 - x + 2*x^2)*Log[16]^2 + (-6 - 2*x + 4*x^2)*Log[16]*Log[1 + x] + (-3 - x + 2*x^2)*Log[1 + x]^2)*Log[-3 + 2*x]^2),x]","\frac{3 (2 \log (x+1)+\log (256))}{2 \log ^2(16 (x+1)) \log (2 x-3)}","\frac{3}{(\log (x+1)+\log (16)) \log (2 x-3)}",1,"(3*(Log[256] + 2*Log[1 + x]))/(2*Log[16*(1 + x)]^2*Log[-3 + 2*x])","A",1
3887,1,27,24,0.6645721,"\int \frac{15+5 x+e^{-4+x} \left(-15+9 x+5 x^2\right)+\left(3+x+e^{-4+x} \left(-3+2 x+x^2\right)\right) \log \left(\frac{1}{15+5 x}\right)+\log (x) \left(-15-6 x+(-3-x) \log \left(\frac{1}{15+5 x}\right)\right)}{3 x^2+x^3} \, dx","Integrate[(15 + 5*x + E^(-4 + x)*(-15 + 9*x + 5*x^2) + (3 + x + E^(-4 + x)*(-3 + 2*x + x^2))*Log[(15 + 5*x)^(-1)] + Log[x]*(-15 - 6*x + (-3 - x)*Log[(15 + 5*x)^(-1)]))/(3*x^2 + x^3),x]","\frac{\left(e^x+e^4 \log (x)\right) \left(\log \left(\frac{1}{5 x+15}\right)+5\right)}{e^4 x}","\frac{\left(e^{x-4}+\log (x)\right) \left(\log \left(\frac{1}{5 (x+3)}\right)+5\right)}{x}",1,"((E^x + E^4*Log[x])*(5 + Log[(15 + 5*x)^(-1)]))/(E^4*x)","A",1
3888,1,24,25,0.3122301,"\int \frac{e^{-25+\frac{e^{-25+10 x-x^2}}{5 x}+10 x-x^2} \left(-1+10 x-2 x^2+\left(1-10 x+2 x^2\right) \log (3)\right)}{5 x^2} \, dx","Integrate[(E^(-25 + E^(-25 + 10*x - x^2)/(5*x) + 10*x - x^2)*(-1 + 10*x - 2*x^2 + (1 - 10*x + 2*x^2)*Log[3]))/(5*x^2),x]","-e^{\frac{e^{-(x-5)^2}}{5 x}} (\log (3)-1)","e^{\frac{e^{-(x-5)^2}}{5 x}} (1-\log (3))",1,"-(E^(1/(5*E^(-5 + x)^2*x))*(-1 + Log[3]))","A",1
3889,1,26,25,0.2255464,"\int \frac{(-225+x)^{-\frac{e^4}{-e^{2/x}+e^{5+x}}} \left(e^{4+\frac{2}{x}} x^2-e^{9+x} x^2+\left(e^{4+\frac{2}{x}} (-450+2 x)+e^{9+x} \left(-225 x^2+x^3\right)\right) \log (-225+x)\right)}{e^{5+\frac{2}{x}+x} \left(450 x^2-2 x^3\right)+e^{4/x} \left(-225 x^2+x^3\right)+e^{10+2 x} \left(-225 x^2+x^3\right)} \, dx","Integrate[(E^(4 + 2/x)*x^2 - E^(9 + x)*x^2 + (E^(4 + 2/x)*(-450 + 2*x) + E^(9 + x)*(-225*x^2 + x^3))*Log[-225 + x])/((-225 + x)^(E^4/(-E^(2/x) + E^(5 + x)))*(E^(5 + 2/x + x)*(450*x^2 - 2*x^3) + E^(4/x)*(-225*x^2 + x^3) + E^(10 + 2*x)*(-225*x^2 + x^3))),x]","(x-225)^{-\frac{e^4}{e^{x+5}-e^{2/x}}}","(x-225)^{\frac{e^4}{e^{2/x}-e^{x+5}}}",1,"(-225 + x)^(-(E^4/(-E^(2/x) + E^(5 + x))))","A",1
3890,1,34,26,0.0906473,"\int \frac{4-2 e^4+x-4 e^x x-2 \log \left(2 e^{-4 e^x+2 x} x^4\right)}{x^3} \, dx","Integrate[(4 - 2*E^4 + x - 4*E^x*x - 2*Log[2*E^(-4*E^x + 2*x)*x^4])/x^3,x]","\frac{e^4}{x^2}+\frac{\log \left(2 e^{-2 \left(2 e^x-x\right)} x^4\right)}{x^2}+\frac{1}{x}","\frac{\log \left(2 e^{2 x-4 e^x} x^4\right)+x+e^4}{x^2}",1,"E^4/x^2 + x^(-1) + Log[(2*x^4)/E^(2*(2*E^x - x))]/x^2","A",1
3891,1,49,19,0.0647414,"\int \frac{1}{50} \left(-500+100 x+e^{\frac{1}{2} (-96-7 x)} \left(4 x-7 x^2\right)+e^{\frac{1}{4} (-96-7 x)} \left(100-215 x+35 x^2\right)\right) \, dx","Integrate[(-500 + 100*x + E^((-96 - 7*x)/2)*(4*x - 7*x^2) + E^((-96 - 7*x)/4)*(100 - 215*x + 35*x^2))/50,x]","\frac{1}{25} e^{-\frac{7 x}{2}-48} x^2+x^2+\frac{1}{10} e^{-7 x/4} \left(\frac{20 x}{e^{24}}-\frac{4 x^2}{e^{24}}\right)-10 x","\left(-\frac{1}{5} e^{-\frac{7 x}{4}-24} x+x-5\right)^2",1,"-10*x + x^2 + (E^(-48 - (7*x)/2)*x^2)/25 + ((20*x)/E^24 - (4*x^2)/E^24)/(10*E^((7*x)/4))","B",1
3892,1,10,11,0.0018902,"\int \frac{-8-x^2}{x^3} \, dx","Integrate[(-8 - x^2)/x^3,x]","\frac{4}{x^2}-\log (x)","\frac{4}{x^2}-\log (x)+1",1,"4/x^2 - Log[x]","A",1
3893,1,29,22,0.059626,"\int e^{-3-x} \left(-5+5 x+e^{3+x} \left(20736+13828 x+2592 x^2+192 x^3+5 x^4\right)\right) \, dx","Integrate[E^(-3 - x)*(-5 + 5*x + E^(3 + x)*(20736 + 13828*x + 2592*x^2 + 192*x^3 + 5*x^4)),x]","x \left(x^4+48 x^3+864 x^2+6914 x-5 e^{-x-3}+20736\right)","x^2+\left((x+12)^4-5 e^{-x-3}+x\right) x",1,"x*(20736 - 5*E^(-3 - x) + 6914*x + 864*x^2 + 48*x^3 + x^4)","A",1
3894,1,20,21,0.0084463,"\int \frac{630+630 x-1311 x^2+101 x^3-2 x^4}{630 x-50 x^2+x^3} \, dx","Integrate[(630 + 630*x - 1311*x^2 + 101*x^3 - 2*x^4)/(630*x - 50*x^2 + x^3),x]","-x^2-\log \left(x^2-50 x+630\right)+x+\log (x)","-x^2+x-\log \left(\frac{(x-25)^2+5}{x}\right)",1,"x - x^2 + Log[x] - Log[630 - 50*x + x^2]","A",1
3895,1,21,20,0.0732973,"\int \frac{10+80 x+90 x^2}{-x-4 x^2-3 x^3+\left(x+4 x^2+3 x^3\right) \log \left(\left(2 x+8 x^2+6 x^3\right) \log (5)\right)} \, dx","Integrate[(10 + 80*x + 90*x^2)/(-x - 4*x^2 - 3*x^3 + (x + 4*x^2 + 3*x^3)*Log[(2*x + 8*x^2 + 6*x^3)*Log[5]]),x]","10 \log \left(\log \left(2 x \left(3 x^2+4 x+1\right) \log (5)\right)-1\right)","10 \log (\log (x (2 x (3 x+4)+2) \log (5))-1)",1,"10*Log[-1 + Log[2*x*(1 + 4*x + 3*x^2)*Log[5]]]","A",1
3896,1,24,31,0.1594856,"\int \frac{-24 x^2+3 x \log (4)+\left(-12 x^2+3 x \log (4)\right) \log \left(\frac{x^4}{16 x^2-8 x \log (4)+\log ^2(4)}\right)}{-36 x+9 \log (4)+(-24 x+6 \log (4)) \log \left(\frac{x^4}{16 x^2-8 x \log (4)+\log ^2(4)}\right)+(-4 x+\log (4)) \log ^2\left(\frac{x^4}{16 x^2-8 x \log (4)+\log ^2(4)}\right)} \, dx","Integrate[(-24*x^2 + 3*x*Log[4] + (-12*x^2 + 3*x*Log[4])*Log[x^4/(16*x^2 - 8*x*Log[4] + Log[4]^2)])/(-36*x + 9*Log[4] + (-24*x + 6*Log[4])*Log[x^4/(16*x^2 - 8*x*Log[4] + Log[4]^2)] + (-4*x + Log[4])*Log[x^4/(16*x^2 - 8*x*Log[4] + Log[4]^2)]^2),x]","\frac{3 x^2}{2 \left(\log \left(\frac{x^4}{(\log (4)-4 x)^2}\right)+3\right)}","3 \left(\frac{x^2}{2 \left(\log \left(\frac{x^2}{\left(4-\frac{\log (4)}{x}\right)^2}\right)+3\right)}+5\right)",1,"(3*x^2)/(2*(3 + Log[x^4/(-4*x + Log[4])^2]))","A",1
3897,1,22,20,0.0458602,"\int \frac{e^{-2+x} \left(-32+32 x+108 x^2+20 x^3\right)}{5 x^2} \, dx","Integrate[(E^(-2 + x)*(-32 + 32*x + 108*x^2 + 20*x^3))/(5*x^2),x]","\frac{4 e^{x-2} \left(5 x^2+22 x+8\right)}{5 x}","\frac{2 e^{x-2} (x+4) \left(2 x+\frac{4}{5}\right)}{x}",1,"(4*E^(-2 + x)*(8 + 22*x + 5*x^2))/(5*x)","A",1
3898,1,50,35,0.2608347,"\int \frac{5 x^4+10 x^5+e^{4 x} (5+10 x)+e^{10} (42+90 x)+e^5 \left(31 x^2+60 x^3\right)+e^{2 x} \left(42+e^5 (-58-122 x)+90 x-10 x^2-20 x^3+e^{10} (5+10 x)\right)+e^{3 x} \left(-29-61 x+e^5 (10+20 x)\right)+e^x \left(e^{10} (-29-61 x)+31 x^2+59 x^3+e^5 \left(84+180 x-10 x^2-20 x^3\right)\right)+\left(45 e^{10}+5 e^{4 x}+e^{3 x} \left(-30+10 e^5\right)+30 e^5 x^2+5 x^4+e^{2 x} \left(45-60 e^5+5 e^{10}-10 x^2\right)+e^x \left(-30 e^{10}+30 x^2+e^5 \left(90-10 x^2\right)\right)\right) \log (2 x)}{9 e^{10}+e^{4 x}+e^{3 x} \left(-6+2 e^5\right)+6 e^5 x^2+x^4+e^{2 x} \left(9-12 e^5+e^{10}-2 x^2\right)+e^x \left(-6 e^{10}+6 x^2+e^5 \left(18-2 x^2\right)\right)} \, dx","Integrate[(5*x^4 + 10*x^5 + E^(4*x)*(5 + 10*x) + E^10*(42 + 90*x) + E^5*(31*x^2 + 60*x^3) + E^(2*x)*(42 + E^5*(-58 - 122*x) + 90*x - 10*x^2 - 20*x^3 + E^10*(5 + 10*x)) + E^(3*x)*(-29 - 61*x + E^5*(10 + 20*x)) + E^x*(E^10*(-29 - 61*x) + 31*x^2 + 59*x^3 + E^5*(84 + 180*x - 10*x^2 - 20*x^3)) + (45*E^10 + 5*E^(4*x) + E^(3*x)*(-30 + 10*E^5) + 30*E^5*x^2 + 5*x^4 + E^(2*x)*(45 - 60*E^5 + 5*E^10 - 10*x^2) + E^x*(-30*E^10 + 30*x^2 + E^5*(90 - 10*x^2)))*Log[2*x])/(9*E^10 + E^(4*x) + E^(3*x)*(-6 + 2*E^5) + 6*E^5*x^2 + x^4 + E^(2*x)*(9 - 12*E^5 + E^10 - 2*x^2) + E^x*(-6*E^10 + 6*x^2 + E^5*(18 - 2*x^2))),x]","5 x^2+\frac{\left(e^x+e^5\right) x}{-x^2-3 e^x+e^{2 x}+e^{x+5}-3 e^5}+5 x \log (2 x)","5 x (x+\log (2 x))-\frac{x}{\frac{x^2}{e^x+e^5}-e^x+3}",1,"5*x^2 + ((E^5 + E^x)*x)/(-3*E^5 - 3*E^x + E^(2*x) + E^(5 + x) - x^2) + 5*x*Log[2*x]","A",1
3899,1,54,32,0.8578775,"\int \frac{-20-10 x-5 x^2+\left(8 x+8 x^2-2 x^3-2 x^4+e^{12 x} \left(-48-48 x+12 x^2+12 x^3\right)\right) \log ^2\left(\frac{-4+x^2}{1+x}\right)}{\left(-20-20 x+5 x^2+5 x^3\right) \log \left(\frac{-4+x^2}{1+x}\right)+\left(4 x^2+4 x^3-x^4-x^5+e^{12 x} \left(-4-4 x+x^2+x^3\right)\right) \log ^2\left(\frac{-4+x^2}{1+x}\right)} \, dx","Integrate[(-20 - 10*x - 5*x^2 + (8*x + 8*x^2 - 2*x^3 - 2*x^4 + E^(12*x)*(-48 - 48*x + 12*x^2 + 12*x^3))*Log[(-4 + x^2)/(1 + x)]^2)/((-20 - 20*x + 5*x^2 + 5*x^3)*Log[(-4 + x^2)/(1 + x)] + (4*x^2 + 4*x^3 - x^4 - x^5 + E^(12*x)*(-4 - 4*x + x^2 + x^3))*Log[(-4 + x^2)/(1 + x)]^2),x]","\log \left(x^2 \left(-\log \left(\frac{x^2-4}{x+1}\right)\right)+e^{12 x} \log \left(\frac{x^2-4}{x+1}\right)+5\right)-\log \left(\log \left(\frac{x^2-4}{x+1}\right)\right)","\log \left(\log (4) \left(-x^2+e^{12 x}+\frac{5}{\log \left(x-\frac{x+4}{x+1}\right)}\right)\right)",1,"-Log[Log[(-4 + x^2)/(1 + x)]] + Log[5 + E^(12*x)*Log[(-4 + x^2)/(1 + x)] - x^2*Log[(-4 + x^2)/(1 + x)]]","A",1
3900,1,28,30,0.1117959,"\int \frac{-9 e^{10} x+\left(6 e^{20}-6 e^{10} x\right) \log (x)-3 e^{10} x \log ^2(x)}{-\left(\left(9 e^{20} x-18 e^{10} x^2+9 x^3\right) \log \left(\frac{5}{2}\right)\right)-\left(6 e^{20} x-12 e^{10} x^2+6 x^3\right) \log \left(\frac{5}{2}\right) \log ^2(x)-\left(e^{20} x-2 e^{10} x^2+x^3\right) \log \left(\frac{5}{2}\right) \log ^4(x)} \, dx","Integrate[(-9*E^10*x + (6*E^20 - 6*E^10*x)*Log[x] - 3*E^10*x*Log[x]^2)/(-((9*E^20*x - 18*E^10*x^2 + 9*x^3)*Log[5/2]) - (6*E^20*x - 12*E^10*x^2 + 6*x^3)*Log[5/2]*Log[x]^2 - (E^20*x - 2*E^10*x^2 + x^3)*Log[5/2]*Log[x]^4),x]","\frac{3 e^{10}}{\left(e^{10}-x\right) \log \left(\frac{5}{2}\right) \left(\log ^2(x)+3\right)}","-\frac{3 x}{\left(\frac{x^2}{e^{10}}-x\right) \log \left(\frac{5}{2}\right) \left(\log ^2(x)+3\right)}",1,"(3*E^10)/((E^10 - x)*Log[5/2]*(3 + Log[x]^2))","A",1
3901,1,24,24,0.0494179,"\int \frac{e^{\frac{16+6 x-x^2+24 x^3+9 x^6}{x}} \left(-16+x-x^2+48 x^3+45 x^6\right)}{x} \, dx","Integrate[(E^((16 + 6*x - x^2 + 24*x^3 + 9*x^6)/x)*(-16 + x - x^2 + 48*x^3 + 45*x^6))/x,x]","e^{9 x^5+24 x^2-x+\frac{16}{x}+6} x","e^{\frac{\left(3 x^3+4\right)^2}{x}-x+6} x+2",1,"E^(6 + 16/x - x + 24*x^2 + 9*x^5)*x","A",1
3902,1,16,18,0.0920371,"\int \frac{-8 \log (x) \log (\log (x))+(-16+8 \log (2 x)) \log (2-\log (2 x))}{(-2 x \log (x)+x \log (x) \log (2 x)) \log ^2(2-\log (2 x))} \, dx","Integrate[(-8*Log[x]*Log[Log[x]] + (-16 + 8*Log[2*x])*Log[2 - Log[2*x]])/((-2*x*Log[x] + x*Log[x]*Log[2*x])*Log[2 - Log[2*x]]^2),x]","\frac{8 \log (\log (x))}{\log (2-\log (2 x))}","\frac{8 \log (\log (x))}{\log (2-\log (2 x))}+1",1,"(8*Log[Log[x]])/Log[2 - Log[2*x]]","A",1
3903,1,23,23,0.1095439,"\int \frac{4 x-6 x^3-3 \log (4)+\left(x-x^3-\log (4)\right) \log \left(\frac{-x^2+x^4+x \log (4)}{\log (4)}\right)}{-x+x^3+\log (4)} \, dx","Integrate[(4*x - 6*x^3 - 3*Log[4] + (x - x^3 - Log[4])*Log[(-x^2 + x^4 + x*Log[4])/Log[4]])/(-x + x^3 + Log[4]),x]","x \left(-\log \left(\frac{x \left(x^3-x+\log (4)\right)}{\log (4)}\right)\right)-2 x","x-x \left(\log \left(\frac{\left(x^3-x\right) x}{\log (4)}+x\right)+3\right)",1,"-2*x - x*Log[(x*(-x + x^3 + Log[4]))/Log[4]]","A",1
3904,1,16,15,0.0621729,"\int \frac{-490000+7791 x+2401 x^2+\left(-7791 x-4802 x^2\right) \log (x)}{100000000 x-3180000 x^2-954719 x^3+15582 x^4+2401 x^5} \, dx","Integrate[(-490000 + 7791*x + 2401*x^2 + (-7791*x - 4802*x^2)*Log[x])/(100000000*x - 3180000*x^2 - 954719*x^3 + 15582*x^4 + 2401*x^5),x]","\frac{49 \log (x)}{(x+16) (49 x-625)}","\frac{\log (x)}{\left(x-\frac{625}{49}\right) (x+16)}",1,"(49*Log[x])/((16 + x)*(-625 + 49*x))","A",1
3905,1,16,16,0.0941229,"\int \frac{-25 x-15 x^2-2 x^3+\left(5+27 x+15 x^2+2 x^3\right) \log \left(1+5 x+x^2\right)}{\left(1+5 x+x^2\right) \log ^2\left(1+5 x+x^2\right)} \, dx","Integrate[(-25*x - 15*x^2 - 2*x^3 + (5 + 27*x + 15*x^2 + 2*x^3)*Log[1 + 5*x + x^2])/((1 + 5*x + x^2)*Log[1 + 5*x + x^2]^2),x]","\frac{x (x+5)}{\log \left(x^2+5 x+1\right)}","\frac{x (x+5)}{\log \left(x \left(x+\frac{1}{x}+5\right)\right)}",1,"(x*(5 + x))/Log[1 + 5*x + x^2]","A",1
3906,1,23,21,0.0225817,"\int \frac{-18-18 e^9+36 x}{\left(8000+1200 x-1140 x^2-119 x^3+57 x^4+3 x^5-x^6+e^{27} \left(64+48 x+12 x^2+x^3\right)+e^{18} \left(960+528 x+36 x^2-21 x^3-3 x^4\right)+e^9 \left(4800+1680 x-348 x^2-141 x^3+6 x^4+3 x^5\right)\right) \log ^2(5)} \, dx","Integrate[(-18 - 18*E^9 + 36*x)/((8000 + 1200*x - 1140*x^2 - 119*x^3 + 57*x^4 + 3*x^5 - x^6 + E^27*(64 + 48*x + 12*x^2 + x^3) + E^18*(960 + 528*x + 36*x^2 - 21*x^3 - 3*x^4) + E^9*(4800 + 1680*x - 348*x^2 - 141*x^3 + 6*x^4 + 3*x^5))*Log[5]^2),x]","\frac{9}{\left(-x^2+x+e^9 (x+4)+20\right)^2 \log ^2(5)}","\frac{9}{(x+4)^2 \left(x-e^9-5\right)^2 \log ^2(5)}",1,"9/((20 + x - x^2 + E^9*(4 + x))^2*Log[5]^2)","A",1
3907,1,49,36,0.1331511,"\int \frac{48+e^{2 e^{\frac{x^2}{2}}} \left(4+e^{3+x} (-1+x)\right)+e^{3+x} (-12+12 x)+e^{e^{\frac{x^2}{2}}} \left(-28+e^{3+x} (7-7 x)+e^{\frac{x^2}{2}} \left(4 x^2-e^{3+x} x^2\right)\right)}{-48 x+12 e^{3+x} x+e^{e^{\frac{x^2}{2}}} \left(28 x-7 e^{3+x} x\right)+e^{2 e^{\frac{x^2}{2}}} \left(-4 x+e^{3+x} x\right)} \, dx","Integrate[(48 + E^(2*E^(x^2/2))*(4 + E^(3 + x)*(-1 + x)) + E^(3 + x)*(-12 + 12*x) + E^E^(x^2/2)*(-28 + E^(3 + x)*(7 - 7*x) + E^(x^2/2)*(4*x^2 - E^(3 + x)*x^2)))/(-48*x + 12*E^(3 + x)*x + E^E^(x^2/2)*(28*x - 7*E^(3 + x)*x) + E^(2*E^(x^2/2))*(-4*x + E^(3 + x)*x)),x]","\log \left(3-e^{e^{\frac{x^2}{2}}}\right)-\log \left(4-e^{e^{\frac{x^2}{2}}}\right)+\log \left(4-e^{x+3}\right)-\log (x)","\log \left(\frac{4-e^{x+3}}{\frac{x}{3-e^{e^{\frac{x^2}{2}}}}+x}\right)-2",1,"Log[3 - E^E^(x^2/2)] - Log[4 - E^E^(x^2/2)] + Log[4 - E^(3 + x)] - Log[x]","A",1
3908,1,19,29,0.3355976,"\int \frac{-3375 x^2+2025 x^3-405 x^4+27 x^5+e^2 (-117+81 x)+\left(9 e^2+675 x^2-270 x^3+27 x^4\right) \log (x)+\left(-45 x^2+9 x^3\right) \log ^2(x)+x^2 \log ^3(x)}{-3375 x^2+2025 x^3-405 x^4+27 x^5+\left(675 x^2-270 x^3+27 x^4\right) \log (x)+\left(-45 x^2+9 x^3\right) \log ^2(x)+x^2 \log ^3(x)} \, dx","Integrate[(-3375*x^2 + 2025*x^3 - 405*x^4 + 27*x^5 + E^2*(-117 + 81*x) + (9*E^2 + 675*x^2 - 270*x^3 + 27*x^4)*Log[x] + (-45*x^2 + 9*x^3)*Log[x]^2 + x^2*Log[x]^3)/(-3375*x^2 + 2025*x^3 - 405*x^4 + 27*x^5 + (675*x^2 - 270*x^3 + 27*x^4)*Log[x] + (-45*x^2 + 9*x^3)*Log[x]^2 + x^2*Log[x]^3),x]","x-\frac{9 e^2}{x (3 x+\log (x)-15)^2}","x-\frac{x+\frac{e^2}{\left(-x-\frac{\log (x)}{3}+5\right)^2}}{x}+e^2",1,"x - (9*E^2)/(x*(-15 + 3*x + Log[x])^2)","A",1
3909,1,65,35,0.3190637,"\int \frac{200 x^2+80 x^3+\left(-50 x^3-20 x^4\right) \log (x)+\left(-400 x-160 x^2+\left(100 x^2+40 x^3\right) \log (x)\right) \log \left(x^2\right)+\left(200+80 x+\left(-50 x-20 x^2\right) \log (x)\right) \log ^2\left(x^2\right)+\left(\frac{4-x \log (x)}{x}\right)^{\frac{x}{-2 x+2 \log \left(x^2\right)}} \left(-100 x-85 x^2-5 x^3+10 x^3 \log (x)+\left(100+125 x+5 x^2-20 x^2 \log (x)\right) \log \left(x^2\right)+(-40+10 x \log (x)) \log ^2\left(x^2\right)+\left(200+40 x+\left(-50 x-10 x^2\right) \log (x)+\left(-100-20 x+\left(25 x+5 x^2\right) \log (x)\right) \log \left(x^2\right)\right) \log \left(\frac{4-x \log (x)}{x}\right)\right)}{-8 x^2+2 x^3 \log (x)+\left(16 x-4 x^2 \log (x)\right) \log \left(x^2\right)+(-8+2 x \log (x)) \log ^2\left(x^2\right)} \, dx","Integrate[(200*x^2 + 80*x^3 + (-50*x^3 - 20*x^4)*Log[x] + (-400*x - 160*x^2 + (100*x^2 + 40*x^3)*Log[x])*Log[x^2] + (200 + 80*x + (-50*x - 20*x^2)*Log[x])*Log[x^2]^2 + ((4 - x*Log[x])/x)^(x/(-2*x + 2*Log[x^2]))*(-100*x - 85*x^2 - 5*x^3 + 10*x^3*Log[x] + (100 + 125*x + 5*x^2 - 20*x^2*Log[x])*Log[x^2] + (-40 + 10*x*Log[x])*Log[x^2]^2 + (200 + 40*x + (-50*x - 10*x^2)*Log[x] + (-100 - 20*x + (25*x + 5*x^2)*Log[x])*Log[x^2])*Log[(4 - x*Log[x])/x]))/(-8*x^2 + 2*x^3*Log[x] + (16*x - 4*x^2*Log[x])*Log[x^2] + (-8 + 2*x*Log[x])*Log[x^2]^2),x]","\frac{5}{2} \left(-2 x^2+\frac{2 \left(x^2 \log (x)-4 x+5 x \log (x)-20\right) \left(\frac{4}{x}-\log (x)\right)^{-\frac{x}{2 \left(x-\log \left(x^2\right)\right)}}}{x \log (x)-4}-10 x\right)","5 (x+5) \left(\left(\frac{4}{x}-\log (x)\right)^{\frac{x}{2 \left(\log \left(x^2\right)-x\right)}}-x\right)",1,"(5*(-10*x - 2*x^2 + (2*(-20 - 4*x + 5*x*Log[x] + x^2*Log[x]))/((4/x - Log[x])^(x/(2*(x - Log[x^2])))*(-4 + x*Log[x]))))/2","A",1
3910,1,31,29,1.6584097,"\int \frac{\exp \left(-x+\frac{e^{-x} \left(45 x^3+e^x \left(15-10 x-x^3\right)\right)}{-15+x^3}\right) \left(-2025 x^2+675 x^3-45 x^6+e^x \left(150+20 x^3\right)\right)}{225-30 x^3+x^6} \, dx","Integrate[(E^(-x + (45*x^3 + E^x*(15 - 10*x - x^3))/(E^x*(-15 + x^3)))*(-2025*x^2 + 675*x^3 - 45*x^6 + E^x*(150 + 20*x^3)))/(225 - 30*x^3 + x^6),x]","e^{\frac{45 e^{-x} x^3}{x^3-15}-\frac{10 x}{x^3-15}-1}","e^{\frac{x \left(9 e^{-x} x^2-2\right)}{\frac{x^3}{5}-3}-1}",1,"E^(-1 - (10*x)/(-15 + x^3) + (45*x^3)/(E^x*(-15 + x^3)))","A",1
3911,1,20,21,0.7550552,"\int \frac{\exp \left(\frac{-12-6 x-x^2+(4+x) \log \left(4 x^2\right)}{-3-x+\log \left(4 x^2\right)}\right) \left(4+6 x+x^2+(-5-2 x) \log \left(4 x^2\right)+\log ^2\left(4 x^2\right)\right)}{9+6 x+x^2+(-6-2 x) \log \left(4 x^2\right)+\log ^2\left(4 x^2\right)} \, dx","Integrate[(E^((-12 - 6*x - x^2 + (4 + x)*Log[4*x^2])/(-3 - x + Log[4*x^2]))*(4 + 6*x + x^2 + (-5 - 2*x)*Log[4*x^2] + Log[4*x^2]^2))/(9 + 6*x + x^2 + (-6 - 2*x)*Log[4*x^2] + Log[4*x^2]^2),x]","e^{\frac{x}{\log \left(4 x^2\right)-x-3}+x+4}","e^{-\frac{x}{-\log \left(4 x^2\right)+x+3}+x+4}",1,"E^(4 + x + x/(-3 - x + Log[4*x^2]))","A",1
3912,1,50,32,0.643169,"\int \frac{-4096 x^3-768 x^6-48 x^9-x^{12}+\left(-73728+442368 x-516096 x^2-446976 x^3-18432 x^4-105984 x^5-82944 x^6-12096 x^7-7200 x^8-5184 x^9-864 x^{10}-162 x^{11}-108 x^{12}-18 x^{13}\right) \log (x)+\left(73728-221184 x-202752 x^3-142848 x^4-13824 x^5-41472 x^6-17280 x^7-864 x^8-2592 x^9-864 x^{10}-54 x^{12}-18 x^{13}\right) \log ^2(x)}{4096 x^3+768 x^6+48 x^9+x^{12}} \, dx","Integrate[(-4096*x^3 - 768*x^6 - 48*x^9 - x^12 + (-73728 + 442368*x - 516096*x^2 - 446976*x^3 - 18432*x^4 - 105984*x^5 - 82944*x^6 - 12096*x^7 - 7200*x^8 - 5184*x^9 - 864*x^10 - 162*x^11 - 108*x^12 - 18*x^13)*Log[x] + (73728 - 221184*x - 202752*x^3 - 142848*x^4 - 13824*x^5 - 41472*x^6 - 17280*x^7 - 864*x^8 - 2592*x^9 - 864*x^10 - 54*x^12 - 18*x^13)*Log[x]^2)/(4096*x^3 + 768*x^6 + 48*x^9 + x^12),x]","-\frac{\left(x^3+16\right)^2 x^3+9 \left(x^5+3 x^4+16 x^2+48 x-16\right)^2 \log ^2(x)}{x^2 \left(x^3+16\right)^2}","-9 \left(-\frac{1}{\frac{x^4}{16}+x}+x+3\right)^2 \log ^2(x)-x+e^5+3",1,"-((x^3*(16 + x^3)^2 + 9*(-16 + 48*x + 16*x^2 + 3*x^4 + x^5)^2*Log[x]^2)/(x^2*(16 + x^3)^2))","A",1
3913,1,26,26,0.1262662,"\int e^{-x} \left(e^x (-71+8 x)+e^{e^{-x} \left(2 x+x^2+x^3\right)} \left(-2-2 x^2+x^3\right)\right) \, dx","Integrate[(E^x*(-71 + 8*x) + E^((2*x + x^2 + x^3)/E^x)*(-2 - 2*x^2 + x^3))/E^x,x]","4 x^2-e^{e^{-x} x \left(x^2+x+2\right)}-71 x","-e^{e^{-x} x \left(x^2+x+2\right)}+4 (x-9)^2+x",1,"-E^((x*(2 + x + x^2))/E^x) - 71*x + 4*x^2","A",1
3914,1,18,18,0.0242748,"\int \frac{2+e^{-5+2 x} \left(-16+24 x-12 x^2+2 x^3\right)-2 \log (2)}{-8+12 x-6 x^2+x^3} \, dx","Integrate[(2 + E^(-5 + 2*x)*(-16 + 24*x - 12*x^2 + 2*x^3) - 2*Log[2])/(-8 + 12*x - 6*x^2 + x^3),x]","e^{2 x-5}+\frac{\log (2)-1}{(x-2)^2}","e^{2 x-5}+\frac{\log (2)-1}{(x-2)^2}",1,"E^(-5 + 2*x) + (-1 + Log[2])/(-2 + x)^2","A",1
3915,1,161,21,0.0519283,"\int \frac{-32-32 x-3136 x^2-5856 x^3-135264 x^4-361536 x^5-3470656 x^6-11342464 x^7-60505088 x^8-209432832 x^9-761634048 x^{10}-2431822848 x^{11}-6896916992 x^{12}-18247276544 x^{13}-42386477056 x^{14}-87747545088 x^{15}-160647395328 x^{16}-251744145408 x^{17}-329327366144 x^{18}-354061008896 x^{19}-305923072000 x^{20}-201710469120 x^{21}-86671294464 x^{22}-4145971200 x^{23}+30720819200 x^{24}+31082479616 x^{25}+18860670976 x^{26}+8172208128 x^{27}+2618032128 x^{28}+614203392 x^{29}+100925440 x^{30}+10485760 x^{31}+524288 x^{32}}{131072 x^{17}+1114112 x^{18}+4456448 x^{19}+11141120 x^{20}+19496960 x^{21}+25346048 x^{22}+25346048 x^{23}+19914752 x^{24}+12446720 x^{25}+6223360 x^{26}+2489344 x^{27}+792064 x^{28}+198016 x^{29}+38080 x^{30}+5440 x^{31}+544 x^{32}+34 x^{33}+x^{34}} \, dx","Integrate[(-32 - 32*x - 3136*x^2 - 5856*x^3 - 135264*x^4 - 361536*x^5 - 3470656*x^6 - 11342464*x^7 - 60505088*x^8 - 209432832*x^9 - 761634048*x^10 - 2431822848*x^11 - 6896916992*x^12 - 18247276544*x^13 - 42386477056*x^14 - 87747545088*x^15 - 160647395328*x^16 - 251744145408*x^17 - 329327366144*x^18 - 354061008896*x^19 - 305923072000*x^20 - 201710469120*x^21 - 86671294464*x^22 - 4145971200*x^23 + 30720819200*x^24 + 31082479616*x^25 + 18860670976*x^26 + 8172208128*x^27 + 2618032128*x^28 + 614203392*x^29 + 100925440*x^30 + 10485760*x^31 + 524288*x^32)/(131072*x^17 + 1114112*x^18 + 4456448*x^19 + 11141120*x^20 + 19496960*x^21 + 25346048*x^22 + 25346048*x^23 + 19914752*x^24 + 12446720*x^25 + 6223360*x^26 + 2489344*x^27 + 792064*x^28 + 198016*x^29 + 38080*x^30 + 5440*x^31 + 544*x^32 + 34*x^33 + x^34),x]","\frac{-524288 x^{31}-13107200 x^{30}-155975680 x^{29}-1167392768 x^{28}-6127091712 x^{27}-23828037632 x^{26}-70774489088 x^{25}-163127910400 x^{24}-293418598400 x^{23}-410371440640 x^{22}-439798726656 x^{21}-349689733120 x^{20}-191661137920 x^{19}-56850415616 x^{18}+6795046912 x^{17}+16583389952 x^{16}+9449846784 x^{15}+3824880640 x^{14}+1425629184 x^{13}+484675072 x^{12}+143786496 x^{11}+45179904 x^{10}+9542400 x^9+3159968 x^8+397824 x^7+160832 x^6+9408 x^5+5520 x^4+96 x^3+112 x^2+1}{x^{16} (x+2)^{16}}","\left(\frac{\left(x+\frac{1}{x}\right)^2}{(x+2)^2}+3\right)^8+1+\log (2)",1,"(1 + 112*x^2 + 96*x^3 + 5520*x^4 + 9408*x^5 + 160832*x^6 + 397824*x^7 + 3159968*x^8 + 9542400*x^9 + 45179904*x^10 + 143786496*x^11 + 484675072*x^12 + 1425629184*x^13 + 3824880640*x^14 + 9449846784*x^15 + 16583389952*x^16 + 6795046912*x^17 - 56850415616*x^18 - 191661137920*x^19 - 349689733120*x^20 - 439798726656*x^21 - 410371440640*x^22 - 293418598400*x^23 - 163127910400*x^24 - 70774489088*x^25 - 23828037632*x^26 - 6127091712*x^27 - 1167392768*x^28 - 155975680*x^29 - 13107200*x^30 - 524288*x^31)/(x^16*(2 + x)^16)","B",1
3916,1,29,30,0.0062255,"\int \frac{-3+4 x+6 x^2-11 x^3+\left(x^2-2 x^3\right) \log (x)}{x^2} \, dx","Integrate[(-3 + 4*x + 6*x^2 - 11*x^3 + (x^2 - 2*x^3)*Log[x])/x^2,x]","-5 x^2+x^2 (-\log (x))+5 x+\frac{3}{x}+x \log (x)+4 \log (x)","5 \left(x-x^2\right)-\left(x^2-x-4\right) \log (x)-\frac{x-3}{x}",1,"3/x + 5*x - 5*x^2 + 4*Log[x] + x*Log[x] - x^2*Log[x]","A",1
3917,1,19,21,0.0708022,"\int \frac{e^{2+\frac{1}{4} (9+8 x)} \left(160 x+152 x^2-16 x^3\right)}{100-20 x+x^2} \, dx","Integrate[(E^(2 + (9 + 8*x)/4)*(160*x + 152*x^2 - 16*x^3))/(100 - 20*x + x^2),x]","-\frac{8 e^{2 x+\frac{17}{4}} x^2}{x-10}","\frac{8 e^{2 x+\frac{17}{4}} x^2}{10-x}",1,"(-8*E^(17/4 + 2*x)*x^2)/(-10 + x)","A",1
3918,1,22,29,0.062216,"\int \frac{e^{\log ^2(4+2 x)} \left(8+4 x+(4+4 x) \log (4+2 x) \log \left(4+8 x+4 x^2\right)\right)}{18+27 x+9 x^2} \, dx","Integrate[(E^Log[4 + 2*x]^2*(8 + 4*x + (4 + 4*x)*Log[4 + 2*x]*Log[4 + 8*x + 4*x^2]))/(18 + 27*x + 9*x^2),x]","\frac{2}{9} e^{\log ^2(2 (x+2))} \log \left(4 (x+1)^2\right)","\frac{2}{9} e^{\log ^2(2 x+4)} \log \left(\left(5-\left(\frac{3}{x}-2\right) x\right)^2\right)",1,"(2*E^Log[2*(2 + x)]^2*Log[4*(1 + x)^2])/9","A",1
3919,1,19,17,0.0054814,"\int \frac{-9-14 x+6 x^2+4 x^3}{17-9 x-7 x^2+2 x^3+x^4} \, dx","Integrate[(-9 - 14*x + 6*x^2 + 4*x^3)/(17 - 9*x - 7*x^2 + 2*x^3 + x^4),x]","\log \left(x^4+2 x^3-7 x^2-9 x+17\right)","\log \left(-\left(x^2+x-4\right)^2+x-1\right)+\log (4)",1,"Log[17 - 9*x - 7*x^2 + 2*x^3 + x^4]","A",1
3920,1,30,30,0.0807549,"\int \frac{-3072+4608 x-1152 x^2+48 x^3-16 x^4+x^5+\left(-192 x^2+48 x^3+x^5\right) \log (3)+\left(1536-96 x-96 x^2-26 x^3+2 x^4+\left(-96 x+6 x^3+2 x^4\right) \log (3)\right) \log \left(\frac{256-32 x+x^2+\left(-32 x+2 x^2\right) \log (3)+x^2 \log ^2(3)}{x^2}\right)+\left(-16 x^2+x^3+x^3 \log (3)\right) \log ^2\left(\frac{256-32 x+x^2+\left(-32 x+2 x^2\right) \log (3)+x^2 \log ^2(3)}{x^2}\right)}{-16 x^4+x^5+x^5 \log (3)+\left(-32 x^3+2 x^4+2 x^4 \log (3)\right) \log \left(\frac{256-32 x+x^2+\left(-32 x+2 x^2\right) \log (3)+x^2 \log ^2(3)}{x^2}\right)+\left(-16 x^2+x^3+x^3 \log (3)\right) \log ^2\left(\frac{256-32 x+x^2+\left(-32 x+2 x^2\right) \log (3)+x^2 \log ^2(3)}{x^2}\right)} \, dx","Integrate[(-3072 + 4608*x - 1152*x^2 + 48*x^3 - 16*x^4 + x^5 + (-192*x^2 + 48*x^3 + x^5)*Log[3] + (1536 - 96*x - 96*x^2 - 26*x^3 + 2*x^4 + (-96*x + 6*x^3 + 2*x^4)*Log[3])*Log[(256 - 32*x + x^2 + (-32*x + 2*x^2)*Log[3] + x^2*Log[3]^2)/x^2] + (-16*x^2 + x^3 + x^3*Log[3])*Log[(256 - 32*x + x^2 + (-32*x + 2*x^2)*Log[3] + x^2*Log[3]^2)/x^2]^2)/(-16*x^4 + x^5 + x^5*Log[3] + (-32*x^3 + 2*x^4 + 2*x^4*Log[3])*Log[(256 - 32*x + x^2 + (-32*x + 2*x^2)*Log[3] + x^2*Log[3]^2)/x^2] + (-16*x^2 + x^3 + x^3*Log[3])*Log[(256 - 32*x + x^2 + (-32*x + 2*x^2)*Log[3] + x^2*Log[3]^2)/x^2]^2),x]","\frac{6 (x-4)^2}{x \left(\log \left(\frac{(x+x \log (3)-16)^2}{x^2}\right)+x\right)}+x","x+\frac{6 (4-x)^2}{x \left(x+\log \left(\left(-\frac{16}{x}+1+\log (3)\right)^2\right)\right)}",1,"x + (6*(-4 + x)^2)/(x*(x + Log[(-16 + x + x*Log[3])^2/x^2]))","A",1
3921,1,8,10,0.0250105,"\int \frac{2}{(4+x) \log (4+x) \log (\log (4+x))} \, dx","Integrate[2/((4 + x)*Log[4 + x]*Log[Log[4 + x]]),x]","2 \log (\log (\log (x+4)))","\log \left(2304 \log ^2(\log (x+4))\right)",1,"2*Log[Log[Log[4 + x]]]","A",1
3922,1,25,27,0.4131103,"\int \frac{\left(1+e^5-2 x\right) \log ^2\left(1+e^5-2 x\right)+e^{\frac{x}{\log \left(1+e^5-2 x\right)}} \left(-2 x^2 \log \left(\frac{3 x}{2}\right)+\left(-x-e^5 x+2 x^2\right) \log \left(1+e^5-2 x\right) \log \left(\frac{3 x}{2}\right)\right)}{\left(x+e^5 x-2 x^2\right) \log ^2\left(1+e^5-2 x\right) \log \left(\frac{3 x}{2}\right)} \, dx","Integrate[((1 + E^5 - 2*x)*Log[1 + E^5 - 2*x]^2 + E^(x/Log[1 + E^5 - 2*x])*(-2*x^2*Log[(3*x)/2] + (-x - E^5*x + 2*x^2)*Log[1 + E^5 - 2*x]*Log[(3*x)/2]))/((x + E^5*x - 2*x^2)*Log[1 + E^5 - 2*x]^2*Log[(3*x)/2]),x]","\log \left(\log \left(\frac{3 x}{2}\right)\right)-e^{\frac{x}{\log \left(-2 x+e^5+1\right)}}","\log \left(e^{-e^{\frac{x}{\log \left(-2 x+e^5+1\right)}}} \log \left(\frac{3 x}{2}\right)\right)",1,"-E^(x/Log[1 + E^5 - 2*x]) + Log[Log[(3*x)/2]]","A",1
3923,1,2,10,0.0001704,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log \left(e^{-e^6} x\right)",1,"Log[x]","A",1
3924,1,18,21,0.0570581,"\int \frac{e^{\left.-\frac{8}{5}\right/x} (8-5 x)+45 x}{15 x^3} \, dx","Integrate[((8 - 5*x)/E^(8/(5*x)) + 45*x)/(15*x^3),x]","\frac{e^{\left.-\frac{8}{5}\right/x}-9}{3 x}","\frac{\frac{1}{3} e^{\left.-\frac{8}{5}\right/x}-3}{x}+5",1,"(-9 + E^(-8/(5*x)))/(3*x)","A",1
3925,1,22,22,0.0532668,"\int \frac{1}{25} \left(45+5 e^{28 x/5}+\left(-5+e^{28 x/5} (5+28 x)\right) \log (x)\right) \, dx","Integrate[(45 + 5*E^((28*x)/5) + (-5 + E^((28*x)/5)*(5 + 28*x))*Log[x])/25,x]","\frac{1}{25} \left(50 x+5 \left(e^{28 x/5}-1\right) x \log (x)\right)","2 x-\frac{1}{5} \left(1-e^{28 x/5}\right) x \log (x)",1,"(50*x + 5*(-1 + E^((28*x)/5))*x*Log[x])/25","A",1
3926,1,46,23,0.4609499,"\int \frac{4 x^2+\exp \left(4-16 x+16 x^2+(-4+8 x) \log (x)+\log ^2(x)\right) \left(160+272 x-992 x^2-128 x^3+\left(-64-264 x-32 x^2\right) \log (x)\right)}{x^2} \, dx","Integrate[(4*x^2 + E^(4 - 16*x + 16*x^2 + (-4 + 8*x)*Log[x] + Log[x]^2)*(160 + 272*x - 992*x^2 - 128*x^3 + (-64 - 264*x - 32*x^2)*Log[x]))/x^2,x]","4 x-\frac{4 x^{8 x-5} \left(4 x^2+33 x+8\right) e^{16 x^2-16 x+\log ^2(x)+4}}{4 x+1}","4 \left(x-\frac{(x+8) e^{(4 x+\log (x)-2)^2}}{x}\right)",1,"4*x - (4*E^(4 - 16*x + 16*x^2 + Log[x]^2)*x^(-5 + 8*x)*(8 + 33*x + 4*x^2))/(1 + 4*x)","A",1
3927,1,24,23,0.0783632,"\int \frac{10 x+2 x^2+\frac{e^{-2 x} (1+2 x)}{x}+\left(-26+\frac{e^{-2 x}}{x}-10 x-x^2\right) \log \left(-26+\frac{e^{-2 x}}{x}-10 x-x^2\right)}{\left(-26+\frac{e^{-2 x}}{x}-10 x-x^2\right) \log ^2\left(-26+\frac{e^{-2 x}}{x}-10 x-x^2\right)} \, dx","Integrate[(10*x + 2*x^2 + (1 + 2*x)/(E^(2*x)*x) + (-26 + 1/(E^(2*x)*x) - 10*x - x^2)*Log[-26 + 1/(E^(2*x)*x) - 10*x - x^2])/((-26 + 1/(E^(2*x)*x) - 10*x - x^2)*Log[-26 + 1/(E^(2*x)*x) - 10*x - x^2]^2),x]","\frac{x}{\log \left(-x^2-10 x+\frac{e^{-2 x}}{x}-26\right)}","\frac{x}{\log \left(-(x+5)^2+\frac{e^{-2 x}}{x}-1\right)}",1,"x/Log[-26 + 1/(E^(2*x)*x) - 10*x - x^2]","A",1
3928,1,17,22,0.0204884,"\int \left(e^{-5+x+\log ^2(2)}-\log \left(\frac{e^{32}}{5}\right)\right) \, dx","Integrate[E^(-5 + x + Log[2]^2) - Log[E^32/5],x]","-32 x+e^{x-5+\log ^2(2)}+x \log (5)","e^{x-5+\log ^2(2)}+x \left(-\log \left(\frac{e^{32}}{5}\right)\right)+25",1,"E^(-5 + x + Log[2]^2) - 32*x + x*Log[5]","A",1
3929,1,51,22,0.0098472,"\int \frac{-1+16 x^2+4 x^3-4 x^4+\left(8 x+2 x^2-6 x^3\right) \log (x)-2 x^2 \log ^2(x)}{x} \, dx","Integrate[(-1 + 16*x^2 + 4*x^3 - 4*x^4 + (8*x + 2*x^2 - 6*x^3)*Log[x] - 2*x^2*Log[x]^2)/x,x]","-x^4+2 x^3-2 x^3 \log (x)+7 x^2-x^2 \log ^2(x)+2 x^2 \log (x)-8 x+8 x \log (x)-\log (x)","-(x-(x (x+\log (x)))+4)^2-\log (x)+11+\log (5)",1,"-8*x + 7*x^2 + 2*x^3 - x^4 - Log[x] + 8*x*Log[x] + 2*x^2*Log[x] - 2*x^3*Log[x] - x^2*Log[x]^2","B",1
3930,1,15,15,0.018549,"\int \frac{16 e^{e^x+x}}{18 e^{e^x}+9 \log (3)} \, dx","Integrate[(16*E^(E^x + x))/(18*E^E^x + 9*Log[3]),x]","\frac{8}{9} \log \left(2 e^{e^x}+\log (3)\right)","\frac{8}{9} \log \left(2 e^{e^x}+\log (3)\right)",1,"(8*Log[2*E^E^x + Log[3]])/9","A",1
3931,1,25,23,0.3398709,"\int \frac{50 x+e^{\frac{1}{625} e^2 \left(9-150 x+625 x^2\right)} \left(-50 x+e^2 \left(-6 x^2+50 x^3\right)\right)}{25-50 e^{\frac{1}{625} e^2 \left(9-150 x+625 x^2\right)}+25 e^{\frac{2}{625} e^2 \left(9-150 x+625 x^2\right)}} \, dx","Integrate[(50*x + E^((E^2*(9 - 150*x + 625*x^2))/625)*(-50*x + E^2*(-6*x^2 + 50*x^3)))/(25 - 50*E^((E^2*(9 - 150*x + 625*x^2))/625) + 25*E^((2*E^2*(9 - 150*x + 625*x^2))/625)),x]","-\frac{x^2}{e^{\frac{1}{625} e^2 (3-25 x)^2}-1}","\frac{x^2}{1-e^{e^2 \left(x-\frac{3}{25}\right)^2}}",1,"-(x^2/(-1 + E^((E^2*(3 - 25*x)^2)/625)))","A",1
3932,1,38,33,0.072742,"\int \frac{5 x^2-4 x^3-x^4+\left(5 x+x^2\right) \log \left(\frac{15}{x}\right)+\left(-5-6 x-7 x^2-6 x^3+\left(-5-7 x-2 x^2\right) \log \left(\frac{15}{x}\right)\right) \log \left(\frac{1+x}{4}\right)}{400 x^2+560 x^3+176 x^4+16 x^5} \, dx","Integrate[(5*x^2 - 4*x^3 - x^4 + (5*x + x^2)*Log[15/x] + (-5 - 6*x - 7*x^2 - 6*x^3 + (-5 - 7*x - 2*x^2)*Log[15/x])*Log[(1 + x)/4])/(400*x^2 + 560*x^3 + 176*x^4 + 16*x^5),x]","\frac{1}{16} \left(\frac{\left(6 x+\log \left(\frac{15}{x}\right)\right) \log \left(\frac{x+1}{4}\right)}{x (x+5)}-\log (x+1)\right)","\frac{\left(-x^2+x+\log \left(\frac{15}{x}\right)\right) \log \left(\frac{x+1}{4}\right)}{16 x (x+5)}",1,"(((6*x + Log[15/x])*Log[(1 + x)/4])/(x*(5 + x)) - Log[1 + x])/16","A",1
3933,1,36,31,0.1031732,"\int \frac{\exp \left(-\frac{2 \left(-2 x^3+2 x^4\right)}{-4-6 x^2+6 x^3+e^4 \left(-x^2+x^3\right)}\right) \left(-16-48 x^2+96 x^3-100 x^4+96 x^5-84 x^6+24 x^7+e^8 \left(-x^4+2 x^5-x^6\right)+e^4 \left(-8 x^2+8 x^3-12 x^4+28 x^5-20 x^6+4 x^7\right)\right)}{16+48 x^2-48 x^3+36 x^4-72 x^5+36 x^6+e^8 \left(x^4-2 x^5+x^6\right)+e^4 \left(8 x^2-8 x^3+12 x^4-24 x^5+12 x^6\right)} \, dx","Integrate[(-16 - 48*x^2 + 96*x^3 - 100*x^4 + 96*x^5 - 84*x^6 + 24*x^7 + E^8*(-x^4 + 2*x^5 - x^6) + E^4*(-8*x^2 + 8*x^3 - 12*x^4 + 28*x^5 - 20*x^6 + 4*x^7))/(E^((2*(-2*x^3 + 2*x^4))/(-4 - 6*x^2 + 6*x^3 + E^4*(-x^2 + x^3)))*(16 + 48*x^2 - 48*x^3 + 36*x^4 - 72*x^5 + 36*x^6 + E^8*(x^4 - 2*x^5 + x^6) + E^4*(8*x^2 - 8*x^3 + 12*x^4 - 24*x^5 + 12*x^6))),x]","x \left(-\exp \left(-\frac{4 (x-1) x^3}{\left(6+e^4\right) x^3-\left(6+e^4\right) x^2-4}\right)\right)","3-e^{-\frac{4 x}{\frac{4}{x \left(x-x^2\right)}+e^4+6}} x",1,"-(x/E^((4*(-1 + x)*x^3)/(-4 - (6 + E^4)*x^2 + (6 + E^4)*x^3)))","A",1
3934,1,51,24,0.1139506,"\int \frac{-2-48 x-102 x^3+2 e^{2 x} x^3-280 x^4+36 x^5+36 x^6+e^x \left(2 x-2 x^2-44 x^3+16 x^4+6 x^5\right)}{x^3} \, dx","Integrate[(-2 - 48*x - 102*x^3 + 2*E^(2*x)*x^3 - 280*x^4 + 36*x^5 + 36*x^6 + E^x*(2*x - 2*x^2 - 44*x^3 + 16*x^4 + 6*x^5))/x^3,x]","9 x^4+12 x^3-140 x^2+e^x \left(6 x^2+4 x-\frac{2}{x}-48\right)+\frac{1}{x^2}-102 x+e^{2 x}+\frac{48}{x}","\left(3 \left(x^2-x-8\right)+5 x+e^x-\frac{1}{x}\right)^2",1,"E^(2*x) + x^(-2) + 48/x - 102*x - 140*x^2 + 12*x^3 + 9*x^4 + E^x*(-48 - 2/x + 4*x + 6*x^2)","B",1
3935,1,4,16,0.0002438,"\int \frac{6}{x} \, dx","Integrate[6/x,x]","6 \log (x)","5-3 \left(-2 \log (x)+3-\log \left(\frac{16}{5}\right)\right)",1,"6*Log[x]","A",1
3936,1,28,28,0.2827822,"\int \frac{e^{-x} \left(e^{5+\frac{4}{-3+x}} \left(-1440-1120 x+800 x^2-160 x^3\right)+e^5 \left(180+60 x-460 x^2+260 x^3-40 x^4\right)\right)}{9 x^2-6 x^3+x^4} \, dx","Integrate[(E^(5 + 4/(-3 + x))*(-1440 - 1120*x + 800*x^2 - 160*x^3) + E^5*(180 + 60*x - 460*x^2 + 260*x^3 - 40*x^4))/(E^x*(9*x^2 - 6*x^3 + x^4)),x]","-\frac{20 e^{5-x} \left(-2 x-8 e^{\frac{4}{x-3}}+1\right)}{x}","\frac{20 e^{5-x} \left(2 x+8 e^{\frac{4}{x-3}}-1\right)}{x}",1,"(-20*E^(5 - x)*(1 - 8*E^(4/(-3 + x)) - 2*x))/x","A",1
3937,1,38,39,0.1203915,"\int \frac{-1280-1920 x^2+128 x^3-720 x^4+e^x \left(-1280+1280 x-1920 x^2+1920 x^3-720 x^4+720 x^5\right)+8 x^4 \log (x)+\left(160 x+120 x^3-4 x^4+e^x \left(160 x-160 x^2+120 x^3-120 x^4\right)\right) \log ^2(x)+\left(-5 x^2+e^x \left(-5 x^2+5 x^3\right)\right) \log ^4(x)}{1280 x^2+1920 x^4+720 x^6+\left(-160 x^3-120 x^5\right) \log ^2(x)+5 x^4 \log ^4(x)} \, dx","Integrate[(-1280 - 1920*x^2 + 128*x^3 - 720*x^4 + E^x*(-1280 + 1280*x - 1920*x^2 + 1920*x^3 - 720*x^4 + 720*x^5) + 8*x^4*Log[x] + (160*x + 120*x^3 - 4*x^4 + E^x*(160*x - 160*x^2 + 120*x^3 - 120*x^4))*Log[x]^2 + (-5*x^2 + E^x*(-5*x^2 + 5*x^3))*Log[x]^4)/(1280*x^2 + 1920*x^4 + 720*x^6 + (-160*x^3 - 120*x^5)*Log[x]^2 + 5*x^4*Log[x]^4),x]","\frac{1}{5} \left(-\frac{4 x^2}{-12 x^2+x \log ^2(x)-16}+\frac{5 e^x}{x}+\frac{5}{x}\right)","\frac{2 x+e^x-\frac{x}{5 \left(\frac{\frac{\log ^2(x)}{4}-\frac{4}{x}}{x}-3\right)}+1}{x}",1,"(5/x + (5*E^x)/x - (4*x^2)/(-16 - 12*x^2 + x*Log[x]^2))/5","A",1
3938,1,20,22,0.1680196,"\int \frac{e^{-2 x} \left(-8 x+\left(8 x-8 x^2\right) \log \left(-\frac{2 x}{5}\right)\right)}{25 \log ^3\left(-\frac{2 x}{5}\right)} \, dx","Integrate[(-8*x + (8*x - 8*x^2)*Log[(-2*x)/5])/(25*E^(2*x)*Log[(-2*x)/5]^3),x]","\frac{4 e^{-2 x} x^2}{25 \log ^2\left(-\frac{2 x}{5}\right)}","\frac{4 e^{-2 x} x^2}{25 \log ^2\left(-\frac{2 x}{5}\right)}+3",1,"(4*x^2)/(25*E^(2*x)*Log[(-2*x)/5]^2)","A",1
3939,1,24,24,0.7227803,"\int \frac{\exp \left(-2-e^{\frac{-x+(4-\log (3)) \log \left(x^3\right)}{\log \left(x^3\right)}}-x\right) \left(e^{\frac{-x+(4-\log (3)) \log \left(x^3\right)}{\log \left(x^3\right)}} \left(-3+\log \left(x^3\right)\right)-\log ^2\left(x^3\right)\right)}{\log ^2\left(x^3\right)} \, dx","Integrate[(E^(-2 - E^((-x + (4 - Log[3])*Log[x^3])/Log[x^3]) - x)*(E^((-x + (4 - Log[3])*Log[x^3])/Log[x^3])*(-3 + Log[x^3]) - Log[x^3]^2))/Log[x^3]^2,x]","e^{-\frac{1}{3} e^{4-\frac{x}{\log \left(x^3\right)}}-x-2}","e^{-\frac{1}{3} e^{4-\frac{x}{\log \left(x^3\right)}}-x-2}",1,"E^(-2 - E^(4 - x/Log[x^3])/3 - x)","A",1
3940,1,10,21,0.0048735,"\int \frac{e^{-\frac{24}{x^2}} \left(96+2 x^2\right)}{x^2} \, dx","Integrate[(96 + 2*x^2)/(E^(24/x^2)*x^2),x]","2 e^{-\frac{24}{x^2}} x","2 e^{-\frac{24}{x^2}} x+3 e^9-e^5",1,"(2*x)/E^(24/x^2)","A",1
3941,1,24,23,0.1516297,"\int \frac{-105 x-x^2-2 x^3-2 x^5+\left(-105-210 x^3\right) \log (4)+\left(-105-210 x^3\right) \log (x)}{x^4+105 x^2 \log (4)+105 x^2 \log (x)} \, dx","Integrate[(-105*x - x^2 - 2*x^3 - 2*x^5 + (-105 - 210*x^3)*Log[4] + (-105 - 210*x^3)*Log[x])/(x^4 + 105*x^2*Log[4] + 105*x^2*Log[x]),x]","-x^2-\log \left(x^2+105 \log (x)+105 \log (4)\right)+\frac{1}{x}","-x^2-\log \left(x^2+105 (\log (x)+\log (4))\right)+\frac{1}{x}",1,"x^(-1) - x^2 - Log[x^2 + 105*Log[4] + 105*Log[x]]","A",1
3942,1,40,34,0.4491354,"\int \frac{\exp \left(\exp \left(\frac{-8-12 x-28 x^2-13 x^3+e^x \left(4+4 x+12 x^2\right)}{4 x^3}\right)+\frac{-8-12 x-28 x^2-13 x^3+e^x \left(4+4 x+12 x^2\right)}{4 x^3}\right) \left(e^4 \left(6+6 x+7 x^2\right)+e^{4+x} \left(-3-x-2 x^2+3 x^3\right)\right)}{x^4} \, dx","Integrate[(E^(E^((-8 - 12*x - 28*x^2 - 13*x^3 + E^x*(4 + 4*x + 12*x^2))/(4*x^3)) + (-8 - 12*x - 28*x^2 - 13*x^3 + E^x*(4 + 4*x + 12*x^2))/(4*x^3))*(E^4*(6 + 6*x + 7*x^2) + E^(4 + x)*(-3 - x - 2*x^2 + 3*x^3)))/x^4,x]","\exp \left(\exp \left(-\frac{2}{x^3}-\frac{3}{x^2}+\frac{e^x \left(3 x^2+x+1\right)}{x^3}-\frac{7}{x}-\frac{13}{4}\right)+4\right)","\exp \left(e^{\frac{\left(-x+e^x-2\right) \left(\frac{x+1}{x^2}+3\right)-\frac{x}{4}}{x}}+4\right)",1,"E^(4 + E^(-13/4 - 2/x^3 - 3/x^2 - 7/x + (E^x*(1 + x + 3*x^2))/x^3))","A",1
3943,1,13,20,0.0061478,"\int \frac{125}{1-10 x+25 x^2+(8-40 x) \log (16)+16 \log ^2(16)} \, dx","Integrate[125/(1 - 10*x + 25*x^2 + (8 - 40*x)*Log[16] + 16*Log[16]^2),x]","\frac{25}{-5 x+1+4 \log (16)}","\frac{25 x}{x-x (x+4 (x-\log (16)))}",1,"25/(1 - 5*x + 4*Log[16])","A",1
3944,1,16,22,0.0705644,"\int \frac{-16 x+3 x^2}{\left(10-8 x^2+x^3\right) \log \left(\frac{1}{5} \left(10-8 x^2+x^3\right)\right)} \, dx","Integrate[(-16*x + 3*x^2)/((10 - 8*x^2 + x^3)*Log[(10 - 8*x^2 + x^3)/5]),x]","\log \left(\log \left(\frac{1}{5} \left(x^3-8 x^2+10\right)\right)\right)","\log \left(\log \left(3-x \left(\frac{1}{5} (3-x) x+x+\frac{1}{x}\right)\right)\right)",1,"Log[Log[(10 - 8*x^2 + x^3)/5]]","A",1
3945,1,27,26,0.0758156,"\int \frac{-800-800 x+\left(1600-400 x-800 x^2\right) \log (x)+\left(-5 x+2 x^3\right) \log ^3(x)+\left((400+400 x) \log (x)+\left(-x-x^2\right) \log ^3(x)\right) \log \left(\frac{400-x \log ^2(x)}{\log ^2(x)}\right)}{(-400-400 x) \log (x)+\left(x+x^2\right) \log ^3(x)} \, dx","Integrate[(-800 - 800*x + (1600 - 400*x - 800*x^2)*Log[x] + (-5*x + 2*x^3)*Log[x]^3 + ((400 + 400*x)*Log[x] + (-x - x^2)*Log[x]^3)*Log[(400 - x*Log[x]^2)/Log[x]^2])/((-400 - 400*x)*Log[x] + (x + x^2)*Log[x]^3),x]","x^2-x-x \log \left(\frac{400}{\log ^2(x)}-x\right)-3 \log (x+1)","x \left(x-\log \left(\frac{400}{\log ^2(x)}-x\right)-1\right)-3 \log (x+1)+5",1,"-x + x^2 - 3*Log[1 + x] - x*Log[-x + 400/Log[x]^2]","A",1
3946,1,33,30,0.0651899,"\int \frac{\left(128 x-18 x^3+36 x^4-18 x^5+\left(-768-256 x+324 x^2-756 x^3+252 x^4+180 x^5\right) \log (3+x)\right) \log \left(\frac{4096 \log (3+x)}{4096 x^2-1152 x^4+2304 x^5-1071 x^6-324 x^7+486 x^8-324 x^9+81 x^{10}}\right)}{\left(-192 x-64 x^2+27 x^3-45 x^4+9 x^5+9 x^6\right) \log (3+x)} \, dx","Integrate[((128*x - 18*x^3 + 36*x^4 - 18*x^5 + (-768 - 256*x + 324*x^2 - 756*x^3 + 252*x^4 + 180*x^5)*Log[3 + x])*Log[(4096*Log[3 + x])/(4096*x^2 - 1152*x^4 + 2304*x^5 - 1071*x^6 - 324*x^7 + 486*x^8 - 324*x^9 + 81*x^10)])/((-192*x - 64*x^2 + 27*x^3 - 45*x^4 + 9*x^5 + 9*x^6)*Log[3 + x]),x]","-\log ^2\left(\frac{4096 \log (x+3)}{x^2 \left(-9 x^4+18 x^3-9 x^2+64\right)^2}\right)","4-\log ^2\left(\frac{\log (x+3)}{\left(x-\frac{9}{64} x \left(x^2-x\right)^2\right)^2}\right)",1,"-Log[(4096*Log[3 + x])/(x^2*(64 - 9*x^2 + 18*x^3 - 9*x^4)^2)]^2","A",1
3947,1,36,27,0.6333684,"\int \frac{21+e^{-8+50 x^2} \left(3-300 x^2\right)-3 \log (5)-3 \log \left(x^2\right)}{25+e^{-16+100 x^2}+10 x+x^2+e^{-8+50 x^2} (10+2 x-2 \log (5))+(-10-2 x) \log (5)+\log ^2(5)+\left(-10-2 e^{-8+50 x^2}-2 x+2 \log (5)\right) \log \left(x^2\right)+\log ^2\left(x^2\right)} \, dx","Integrate[(21 + E^(-8 + 50*x^2)*(3 - 300*x^2) - 3*Log[5] - 3*Log[x^2])/(25 + E^(-16 + 100*x^2) + 10*x + x^2 + E^(-8 + 50*x^2)*(10 + 2*x - 2*Log[5]) + (-10 - 2*x)*Log[5] + Log[5]^2 + (-10 - 2*E^(-8 + 50*x^2) - 2*x + 2*Log[5])*Log[x^2] + Log[x^2]^2),x]","\frac{3 e^8 x}{e^{50 x^2}-e^8 \log \left(x^2\right)+e^8 (x+5-\log (5))}","\frac{3 x}{e^{50 x^2-8}-\log \left(x^2\right)+x+5-\log (5)}",1,"(3*E^8*x)/(E^(50*x^2) + E^8*(5 + x - Log[5]) - E^8*Log[x^2])","A",1
3948,1,40,25,0.036049,"\int \frac{-4-4 x+2 x^2+5 x^3+2 x^4+\left(7 x^2+6 x^3\right) \log \left(\frac{3 e^{x+x^2}}{4}\right)+\left(-2+3 x+6 x^2\right) \log ^2\left(\frac{3 e^{x+x^2}}{4}\right)+(1+2 x) \log ^3\left(\frac{3 e^{x+x^2}}{4}\right)}{x^3+3 x^2 \log \left(\frac{3 e^{x+x^2}}{4}\right)+3 x \log ^2\left(\frac{3 e^{x+x^2}}{4}\right)+\log ^3\left(\frac{3 e^{x+x^2}}{4}\right)} \, dx","Integrate[(-4 - 4*x + 2*x^2 + 5*x^3 + 2*x^4 + (7*x^2 + 6*x^3)*Log[(3*E^(x + x^2))/4] + (-2 + 3*x + 6*x^2)*Log[(3*E^(x + x^2))/4]^2 + (1 + 2*x)*Log[(3*E^(x + x^2))/4]^3)/(x^3 + 3*x^2*Log[(3*E^(x + x^2))/4] + 3*x*Log[(3*E^(x + x^2))/4]^2 + Log[(3*E^(x + x^2))/4]^3),x]","x^2-\frac{2 x}{\log \left(\frac{3 e^{x^2+x}}{4}\right)+x}+\frac{1}{\left(\log \left(\frac{3 e^{x^2+x}}{4}\right)+x\right)^2}+x","\left(\frac{1}{\log \left(\frac{3 e^{x^2+x}}{4}\right)+x}-x\right)^2+x+1",1,"x + x^2 + (x + Log[(3*E^(x + x^2))/4])^(-2) - (2*x)/(x + Log[(3*E^(x + x^2))/4])","A",1
3949,0,0,31,0.3931479,"\int \frac{(16-8 x) \log (x)+4 x \log ^2(x)+\sqrt{\frac{e^{x/2}}{x^2}} \left(-8 \log (x)+(-4+x) \log ^2(x)\right)}{\frac{4 e^{x/2}}{x}+16 x-16 x^2+4 x^3+\sqrt{\frac{e^{x/2}}{x^2}} \left(-16 x+8 x^2\right)} \, dx","Integrate[((16 - 8*x)*Log[x] + 4*x*Log[x]^2 + Sqrt[E^(x/2)/x^2]*(-8*Log[x] + (-4 + x)*Log[x]^2))/((4*E^(x/2))/x + 16*x - 16*x^2 + 4*x^3 + Sqrt[E^(x/2)/x^2]*(-16*x + 8*x^2)),x]","\int \frac{(16-8 x) \log (x)+4 x \log ^2(x)+\sqrt{\frac{e^{x/2}}{x^2}} \left(-8 \log (x)+(-4+x) \log ^2(x)\right)}{\frac{4 e^{x/2}}{x}+16 x-16 x^2+4 x^3+\sqrt{\frac{e^{x/2}}{x^2}} \left(-16 x+8 x^2\right)} \, dx","\frac{\log ^2(x)}{-\sqrt{\frac{e^{x/2}}{x^2}}-x+2}+3",1,"Integrate[((16 - 8*x)*Log[x] + 4*x*Log[x]^2 + Sqrt[E^(x/2)/x^2]*(-8*Log[x] + (-4 + x)*Log[x]^2))/((4*E^(x/2))/x + 16*x - 16*x^2 + 4*x^3 + Sqrt[E^(x/2)/x^2]*(-16*x + 8*x^2)), x]","F",-1
3950,1,29,33,0.0071379,"\int \frac{-80-15 x+10 x^2+5 x^5+\left(3 x^3-5 x^5\right) \log (2)}{5 x^5} \, dx","Integrate[(-80 - 15*x + 10*x^2 + 5*x^5 + (3*x^3 - 5*x^5)*Log[2])/(5*x^5),x]","\frac{4}{x^4}+\frac{1}{x^3}-\frac{1}{x^2}+x+x (-\log (2))-\frac{\log (8)}{5 x}","x-\frac{\frac{x-\frac{4}{x}-1}{x^2}+\left(x^2-x+\frac{3}{5}\right) \log (2)}{x}",1,"4/x^4 + x^(-3) - x^(-2) + x - x*Log[2] - Log[8]/(5*x)","A",1
3951,1,216,20,0.2059711,"\int \left(1-3 x+2 x^2+2 x^3-3 x^4+x^5+\left(8-16 x+16 x^3-8 x^4\right) \log (25)+\left(28-32 x-24 x^2+32 x^3-4 x^4\right) \log ^2(25)+\left(56-24 x-56 x^2+24 x^3\right) \log ^3(25)+\left(70+10 x-54 x^2+6 x^3\right) \log ^4(25)+\left(56+32 x-24 x^2\right) \log ^5(25)+\left(28+24 x-4 x^2\right) \log ^6(25)+(8+8 x) \log ^7(25)+(1+x) \log ^8(25)+\left(1-6 x+6 x^2+8 x^3-15 x^4+6 x^5+\left(8-32 x+64 x^3-40 x^4\right) \log (25)+\left(28-64 x-72 x^2+128 x^3-20 x^4\right) \log ^2(25)+\left(56-48 x-168 x^2+96 x^3\right) \log ^3(25)+\left(70+20 x-162 x^2+24 x^3\right) \log ^4(25)+\left(56+64 x-72 x^2\right) \log ^5(25)+\left(28+48 x-12 x^2\right) \log ^6(25)+(8+16 x) \log ^7(25)+(1+2 x) \log ^8(25)\right) \log (x)\right) \, dx","Integrate[1 - 3*x + 2*x^2 + 2*x^3 - 3*x^4 + x^5 + (8 - 16*x + 16*x^3 - 8*x^4)*Log[25] + (28 - 32*x - 24*x^2 + 32*x^3 - 4*x^4)*Log[25]^2 + (56 - 24*x - 56*x^2 + 24*x^3)*Log[25]^3 + (70 + 10*x - 54*x^2 + 6*x^3)*Log[25]^4 + (56 + 32*x - 24*x^2)*Log[25]^5 + (28 + 24*x - 4*x^2)*Log[25]^6 + (8 + 8*x)*Log[25]^7 + (1 + x)*Log[25]^8 + (1 - 6*x + 6*x^2 + 8*x^3 - 15*x^4 + 6*x^5 + (8 - 32*x + 64*x^3 - 40*x^4)*Log[25] + (28 - 64*x - 72*x^2 + 128*x^3 - 20*x^4)*Log[25]^2 + (56 - 48*x - 168*x^2 + 96*x^3)*Log[25]^3 + (70 + 20*x - 162*x^2 + 24*x^3)*Log[25]^4 + (56 + 64*x - 72*x^2)*Log[25]^5 + (28 + 48*x - 12*x^2)*Log[25]^6 + (8 + 16*x)*Log[25]^7 + (1 + 2*x)*Log[25]^8)*Log[x],x]","\frac{1}{30} x \left(-5 x^5+5 x^5 (6 \log (x)+1)-6 x^4 \left(3+4 \log ^2(25)+8 \log (25)\right) (5 \log (x)+1)+6 x^4 \left(3+4 \log ^2(25)+8 \log (25)\right)+15 x^3 (1+\log (25))^2 \left(1+3 \log ^2(25)+6 \log (25)\right) (4 \log (x)+1)-15 x^3 (1+\log (25))^2 \left(1+3 \log ^2(25)+6 \log (25)\right)-20 x^2 (1+\log (25))^4 \left(-1+2 \log ^2(25)+4 \log (25)\right) (3 \log (x)+1)+20 x^2 (1+\log (25))^4 \left(-1+2 \log ^2(25)+4 \log (25)\right)+15 x (1+\log (25))^6 \left(-3+\log ^2(25)+\log (625)\right) (2 \log (x)+1)-15 x (1+\log (25))^6 \left(-3+\log ^2(25)+\log (625)\right)+30 (1+\log (25))^8 \log (x)\right)","\left(x^2+x\right) \left(x-(1+\log (25))^2\right)^4 \log (x)",1,"(x*(-5*x^5 + 20*x^2*(1 + Log[25])^4*(-1 + 4*Log[25] + 2*Log[25]^2) - 15*x^3*(1 + Log[25])^2*(1 + 6*Log[25] + 3*Log[25]^2) + 6*x^4*(3 + 8*Log[25] + 4*Log[25]^2) - 15*x*(1 + Log[25])^6*(-3 + Log[25]^2 + Log[625]) + 30*(1 + Log[25])^8*Log[x] + 15*x*(1 + Log[25])^6*(-3 + Log[25]^2 + Log[625])*(1 + 2*Log[x]) - 20*x^2*(1 + Log[25])^4*(-1 + 4*Log[25] + 2*Log[25]^2)*(1 + 3*Log[x]) + 15*x^3*(1 + Log[25])^2*(1 + 6*Log[25] + 3*Log[25]^2)*(1 + 4*Log[x]) - 6*x^4*(3 + 8*Log[25] + 4*Log[25]^2)*(1 + 5*Log[x]) + 5*x^5*(1 + 6*Log[x])))/30","B",1
3952,1,14,12,0.0011119,"\int \left(-2+\log \left(\frac{3 x^3}{125}\right)\right) \, dx","Integrate[-2 + Log[(3*x^3)/125],x]","x \log \left(\frac{3 x^3}{125}\right)-5 x","x \left(\log \left(\frac{3 x^3}{125}\right)-5\right)",1,"-5*x + x*Log[(3*x^3)/125]","A",1
3953,1,33,24,0.0174723,"\int \frac{e^5 (-800-160 x)+25600 x+19200 x^2+1920 x^3-320 x^4}{e^5 \left(-125+75 x-15 x^2+x^3\right)} \, dx","Integrate[(E^5*(-800 - 160*x) + 25600*x + 19200*x^2 + 1920*x^3 - 320*x^4)/(E^5*(-125 + 75*x - 15*x^2 + x^3)),x]","-\frac{160 \left(x^4+8 x^3-270 x^2-\left(e^5-2860\right) x-7150\right)}{e^5 (x-5)^2}","\frac{160 x^2 \left(\frac{1}{x}-\frac{(x+4)^2}{e^5}\right)}{(x-5)^2}",1,"(-160*(-7150 - (-2860 + E^5)*x - 270*x^2 + 8*x^3 + x^4))/(E^5*(-5 + x)^2)","A",1
3954,1,29,25,0.3597321,"\int \frac{e^5 \left(-4+4 x^2\right)+e^5 \left(-4+3 x-4 x^2\right) \log \left(\frac{12-9 x+12 x^2}{4 x}\right)+\left(8 x-6 x^2+8 x^3\right) \log ^2\left(\frac{12-9 x+12 x^2}{4 x}\right)}{\left(20-15 x+20 x^2\right) \log ^2\left(\frac{12-9 x+12 x^2}{4 x}\right)} \, dx","Integrate[(E^5*(-4 + 4*x^2) + E^5*(-4 + 3*x - 4*x^2)*Log[(12 - 9*x + 12*x^2)/(4*x)] + (8*x - 6*x^2 + 8*x^3)*Log[(12 - 9*x + 12*x^2)/(4*x)]^2)/((20 - 15*x + 20*x^2)*Log[(12 - 9*x + 12*x^2)/(4*x)]^2),x]","\frac{1}{5} \left(x^2-\frac{e^5 x}{\log \left(3 x+\frac{3}{x}-\frac{9}{4}\right)}\right)","\frac{1}{5} x \left(x-\frac{e^5}{\log \left(3 \left(x+\frac{1}{x}-\frac{3}{4}\right)\right)}\right)",1,"(x^2 - (E^5*x)/Log[-9/4 + 3/x + 3*x])/5","A",1
3955,1,89,32,0.2053992,"\int \frac{-6 \log (4)+\left(6 x^2-9 x^3\right) \log ^2(x)+\left(6 \log (4) \log (x)+\left(3 x^2-3 x^3\right) \log ^2(x)\right) \log \left(\frac{4 \log (4)+\left(2 x^2-2 x^3\right) \log (x)}{\log (x)}\right) \log \left(\log \left(\frac{4 \log (4)+\left(2 x^2-2 x^3\right) \log (x)}{\log (x)}\right)\right)}{\left(-2 x^2 \log (4) \log (x)+\left(-x^4+x^5\right) \log ^2(x)\right) \log \left(\frac{4 \log (4)+\left(2 x^2-2 x^3\right) \log (x)}{\log (x)}\right) \log ^2\left(\log \left(\frac{4 \log (4)+\left(2 x^2-2 x^3\right) \log (x)}{\log (x)}\right)\right)} \, dx","Integrate[(-6*Log[4] + (6*x^2 - 9*x^3)*Log[x]^2 + (6*Log[4]*Log[x] + (3*x^2 - 3*x^3)*Log[x]^2)*Log[(4*Log[4] + (2*x^2 - 2*x^3)*Log[x])/Log[x]]*Log[Log[(4*Log[4] + (2*x^2 - 2*x^3)*Log[x])/Log[x]]])/((-2*x^2*Log[4]*Log[x] + (-x^4 + x^5)*Log[x]^2)*Log[(4*Log[4] + (2*x^2 - 2*x^3)*Log[x])/Log[x]]*Log[Log[(4*Log[4] + (2*x^2 - 2*x^3)*Log[x])/Log[x]]]^2),x]","-\frac{3 \left(\log (256)-2 (x-1) x^2 \log (x)\right) \left(x^2 (3 x-2) \log ^2(x)+\log (16)\right)}{x \left((x-1) x^2 \log (x)-2 \log (4)\right) \left(2 x^2 (3 x-2) \log ^2(x)+\log (256)\right) \log \left(\log \left(\frac{\log (256)}{\log (x)}-2 (x-1) x^2\right)\right)}","\frac{3}{x \log \left(\log \left(x \log \left(e^{2 x-2 x^2}\right)+\frac{4 \log (4)}{\log (x)}\right)\right)}",1,"(-3*(Log[256] - 2*(-1 + x)*x^2*Log[x])*(Log[16] + x^2*(-2 + 3*x)*Log[x]^2))/(x*(-2*Log[4] + (-1 + x)*x^2*Log[x])*(Log[256] + 2*x^2*(-2 + 3*x)*Log[x]^2)*Log[Log[-2*(-1 + x)*x^2 + Log[256]/Log[x]]])","B",0
3956,1,55,35,0.2658359,"\int \frac{-40 e^x x^2+e^{2 x} \left(100 x+140 x^2+40 x^3\right)+e^{1+x} \left(40 e^x x^2+e^{2 x} \left(-40 x-40 x^2\right)\right)+\left(40 x^2+e^x \left(-200 x-180 x^2-40 x^3\right)+e^{1+x} \left(-40 x^2+e^x \left(80 x+40 x^2\right)\right)\right) \log \left(10-4 e^{1+x}+4 x\right)+\left(100 x-40 e^{1+x} x+40 x^2\right) \log ^2\left(10-4 e^{1+x}+4 x\right)}{-125-50 x+e^{2 x} \left(-50 x^2-20 x^3\right)+e^{1+x} \left(50+20 e^{2 x} x^2+2 e^{4 x} x^4\right)+e^{4 x} \left(-5 x^4-2 x^5\right)+\left(e^x \left(100 x^2+40 x^3\right)+e^{1+x} \left(-40 e^x x^2-8 e^{3 x} x^4\right)+e^{3 x} \left(20 x^4+8 x^5\right)\right) \log \left(10-4 e^{1+x}+4 x\right)+\left(-50 x^2-20 x^3+e^{1+x} \left(20 x^2+12 e^{2 x} x^4\right)+e^{2 x} \left(-30 x^4-12 x^5\right)\right) \log ^2\left(10-4 e^{1+x}+4 x\right)+\left(-8 e^{1+2 x} x^4+e^x \left(20 x^4+8 x^5\right)\right) \log ^3\left(10-4 e^{1+x}+4 x\right)+\left(-5 x^4+2 e^{1+x} x^4-2 x^5\right) \log ^4\left(10-4 e^{1+x}+4 x\right)} \, dx","Integrate[(-40*E^x*x^2 + E^(2*x)*(100*x + 140*x^2 + 40*x^3) + E^(1 + x)*(40*E^x*x^2 + E^(2*x)*(-40*x - 40*x^2)) + (40*x^2 + E^x*(-200*x - 180*x^2 - 40*x^3) + E^(1 + x)*(-40*x^2 + E^x*(80*x + 40*x^2)))*Log[10 - 4*E^(1 + x) + 4*x] + (100*x - 40*E^(1 + x)*x + 40*x^2)*Log[10 - 4*E^(1 + x) + 4*x]^2)/(-125 - 50*x + E^(2*x)*(-50*x^2 - 20*x^3) + E^(1 + x)*(50 + 20*E^(2*x)*x^2 + 2*E^(4*x)*x^4) + E^(4*x)*(-5*x^4 - 2*x^5) + (E^x*(100*x^2 + 40*x^3) + E^(1 + x)*(-40*E^x*x^2 - 8*E^(3*x)*x^4) + E^(3*x)*(20*x^4 + 8*x^5))*Log[10 - 4*E^(1 + x) + 4*x] + (-50*x^2 - 20*x^3 + E^(1 + x)*(20*x^2 + 12*E^(2*x)*x^4) + E^(2*x)*(-30*x^4 - 12*x^5))*Log[10 - 4*E^(1 + x) + 4*x]^2 + (-8*E^(1 + 2*x)*x^4 + E^x*(20*x^4 + 8*x^5))*Log[10 - 4*E^(1 + x) + 4*x]^3 + (-5*x^4 + 2*E^(1 + x)*x^4 - 2*x^5)*Log[10 - 4*E^(1 + x) + 4*x]^4),x]","\frac{10}{e^{2 x} x^2+x^2 \log ^2\left(4 x-4 e^{x+1}+10\right)-2 e^x x^2 \log \left(4 x-4 e^{x+1}+10\right)+5}","\frac{2}{\frac{1}{5} x^2 \left(\log \left(4 \left(x-e^{x+1}\right)+10\right)-e^x\right)^2+1}",1,"10/(5 + E^(2*x)*x^2 - 2*E^x*x^2*Log[10 - 4*E^(1 + x) + 4*x] + x^2*Log[10 - 4*E^(1 + x) + 4*x]^2)","A",1
3957,1,17,32,0.0773573,"\int \frac{15+e^x \left(-10 x-10 x^2\right)}{-3+e^x x^2} \, dx","Integrate[(15 + E^x*(-10*x - 10*x^2))/(-3 + E^x*x^2),x]","-5 \log \left(3-e^x x^2\right)-5 x","5 \left(\log \left(\frac{4}{3-e^x x^2}\right)-x+4-\log \left(4 \sqrt{e}\right)\right)",1,"-5*x - 5*Log[3 - E^x*x^2]","A",1
3958,1,69,21,0.0471633,"\int \frac{750 \log \left(\frac{x^3+2 e^5 x^3+e^{10} x^3}{e^{10}}\right)-125 \log ^2\left(\frac{x^3+2 e^5 x^3+e^{10} x^3}{e^{10}}\right)}{13 x^2} \, dx","Integrate[(750*Log[(x^3 + 2*E^5*x^3 + E^10*x^3)/E^10] - 125*Log[(x^3 + 2*E^5*x^3 + E^10*x^3)/E^10]^2)/(13*x^2),x]","-\frac{125}{13} \left(-\frac{\log ^2\left(x^3\right)}{x}+\frac{20 \log \left(x^3\right)}{x}-\frac{4 \log \left(1+e^5\right) \log \left(x^3\right)}{x}-\frac{100}{x}-\frac{4 \log ^2\left(1+e^5\right)}{x}+\frac{40 \log \left(1+e^5\right)}{x}\right)","\frac{125 \log ^2\left(x \left(\frac{x}{e^5}+x\right)^2\right)}{13 x}",1,"(-125*(-100/x + (40*Log[1 + E^5])/x - (4*Log[1 + E^5]^2)/x + (20*Log[x^3])/x - (4*Log[1 + E^5]*Log[x^3])/x - Log[x^3]^2/x))/13","B",1
3959,1,32,31,0.9531988,"\int \frac{e^{2 x} (-5+10 x) \log (4)+e^{\frac{3 \log (4)-e^x \log (4)-2 x \log \left(x^2\right)}{\log (4)}} \left(-e^{3 x} x \log (4)+e^{2 x} (-4 x+(-1+2 x) \log (4))-2 e^{2 x} x \log \left(x^2\right)\right)}{x^2 \log (4)} \, dx","Integrate[(E^(2*x)*(-5 + 10*x)*Log[4] + E^((3*Log[4] - E^x*Log[4] - 2*x*Log[x^2])/Log[4])*(-(E^(3*x)*x*Log[4]) + E^(2*x)*(-4*x + (-1 + 2*x)*Log[4]) - 2*E^(2*x)*x*Log[x^2]))/(x^2*Log[4]),x]","\frac{e^{2 x} \left(e^{3-e^x} \left(x^2\right)^{-\frac{2 x}{\log (4)}}+5\right)}{x}","\frac{e^{2 x} \left(e^{-\frac{2 x \log \left(x^2\right)}{\log (4)}-e^x+3}+5\right)}{x}",1,"(E^(2*x)*(5 + E^(3 - E^x)/(x^2)^((2*x)/Log[4])))/x","A",1
3960,1,61,35,0.220956,"\int \frac{e^{5 x+x^2} \left(-512+2560 x+1024 x^2\right)+e^{5 x+x^2} \left(128 x-640 x^2-256 x^3\right) \log \left(\frac{1+4 \log \left(\frac{e^{5 x+x^2}+4 x}{x}\right)}{\log \left(\frac{e^{5 x+x^2}+4 x}{x}\right)}\right)+\left(\left(-128 e^{5 x+x^2} x-512 x^2\right) \log \left(\frac{e^{5 x+x^2}+4 x}{x}\right)+\left(-512 e^{5 x+x^2} x-2048 x^2\right) \log ^2\left(\frac{e^{5 x+x^2}+4 x}{x}\right)\right) \log ^2\left(\frac{1+4 \log \left(\frac{e^{5 x+x^2}+4 x}{x}\right)}{\log \left(\frac{e^{5 x+x^2}+4 x}{x}\right)}\right)+\left(\left(32 e^{5 x+x^2} x^2+128 x^3\right) \log \left(\frac{e^{5 x+x^2}+4 x}{x}\right)+\left(128 e^{5 x+x^2} x^2+512 x^3\right) \log ^2\left(\frac{e^{5 x+x^2}+4 x}{x}\right)\right) \log ^3\left(\frac{1+4 \log \left(\frac{e^{5 x+x^2}+4 x}{x}\right)}{\log \left(\frac{e^{5 x+x^2}+4 x}{x}\right)}\right)}{\left(\left(e^{5 x+x^2} x+4 x^2\right) \log \left(\frac{e^{5 x+x^2}+4 x}{x}\right)+\left(4 e^{5 x+x^2} x+16 x^2\right) \log ^2\left(\frac{e^{5 x+x^2}+4 x}{x}\right)\right) \log ^3\left(\frac{1+4 \log \left(\frac{e^{5 x+x^2}+4 x}{x}\right)}{\log \left(\frac{e^{5 x+x^2}+4 x}{x}\right)}\right)} \, dx","Integrate[(E^(5*x + x^2)*(-512 + 2560*x + 1024*x^2) + E^(5*x + x^2)*(128*x - 640*x^2 - 256*x^3)*Log[(1 + 4*Log[(E^(5*x + x^2) + 4*x)/x])/Log[(E^(5*x + x^2) + 4*x)/x]] + ((-128*E^(5*x + x^2)*x - 512*x^2)*Log[(E^(5*x + x^2) + 4*x)/x] + (-512*E^(5*x + x^2)*x - 2048*x^2)*Log[(E^(5*x + x^2) + 4*x)/x]^2)*Log[(1 + 4*Log[(E^(5*x + x^2) + 4*x)/x])/Log[(E^(5*x + x^2) + 4*x)/x]]^2 + ((32*E^(5*x + x^2)*x^2 + 128*x^3)*Log[(E^(5*x + x^2) + 4*x)/x] + (128*E^(5*x + x^2)*x^2 + 512*x^3)*Log[(E^(5*x + x^2) + 4*x)/x]^2)*Log[(1 + 4*Log[(E^(5*x + x^2) + 4*x)/x])/Log[(E^(5*x + x^2) + 4*x)/x]]^3)/(((E^(5*x + x^2)*x + 4*x^2)*Log[(E^(5*x + x^2) + 4*x)/x] + (4*E^(5*x + x^2)*x + 16*x^2)*Log[(E^(5*x + x^2) + 4*x)/x]^2)*Log[(1 + 4*Log[(E^(5*x + x^2) + 4*x)/x])/Log[(E^(5*x + x^2) + 4*x)/x]]^3),x]","32 \left(\frac{x^2}{2}+\frac{8}{\log ^2\left(\frac{1}{\log \left(\frac{e^{x^2+5 x}}{x}+4\right)}+4\right)}-\frac{4 x}{\log \left(\frac{1}{\log \left(\frac{e^{x^2+5 x}}{x}+4\right)}+4\right)}\right)","16 \left(\frac{4}{\log \left(\frac{1}{\log \left(\frac{4 x+e^{x (x+5)}}{x}\right)}+4\right)}-x\right)^2+2",1,"32*(x^2/2 + 8/Log[4 + Log[4 + E^(5*x + x^2)/x]^(-1)]^2 - (4*x)/Log[4 + Log[4 + E^(5*x + x^2)/x]^(-1)])","A",1
3961,0,0,32,2.9946925,"\int \frac{-6 e^{2+2 x} x^3+e^{\frac{e^{-2-2 x} \left(-4+x-x^2+\log (x)\right)}{x^2}} \left(27+21 x-6 x^2+3 e^{2+2 x} x^2+6 x^3+(-6-6 x) \log (x)\right)}{\exp \left(2+2 x+\frac{2 e^{-2-2 x} \left(-4+x-x^2+\log (x)\right)}{x^2}\right) x^4-2 \exp \left(2+2 x+\frac{e^{-2-2 x} \left(-4+x-x^2+\log (x)\right)}{x^2}\right) x^5+e^{2+2 x} x^6} \, dx","Integrate[(-6*E^(2 + 2*x)*x^3 + E^((E^(-2 - 2*x)*(-4 + x - x^2 + Log[x]))/x^2)*(27 + 21*x - 6*x^2 + 3*E^(2 + 2*x)*x^2 + 6*x^3 + (-6 - 6*x)*Log[x]))/(E^(2 + 2*x + (2*E^(-2 - 2*x)*(-4 + x - x^2 + Log[x]))/x^2)*x^4 - 2*E^(2 + 2*x + (E^(-2 - 2*x)*(-4 + x - x^2 + Log[x]))/x^2)*x^5 + E^(2 + 2*x)*x^6),x]","\int \frac{-6 e^{2+2 x} x^3+e^{\frac{e^{-2-2 x} \left(-4+x-x^2+\log (x)\right)}{x^2}} \left(27+21 x-6 x^2+3 e^{2+2 x} x^2+6 x^3+(-6-6 x) \log (x)\right)}{\exp \left(2+2 x+\frac{2 e^{-2-2 x} \left(-4+x-x^2+\log (x)\right)}{x^2}\right) x^4-2 \exp \left(2+2 x+\frac{e^{-2-2 x} \left(-4+x-x^2+\log (x)\right)}{x^2}\right) x^5+e^{2+2 x} x^6} \, dx","\frac{3}{x \left(x-e^{e^{-2 x-2} \left(\frac{x+\log (x)-4}{x^2}-1\right)}\right)}",1,"Integrate[(-6*E^(2 + 2*x)*x^3 + E^((E^(-2 - 2*x)*(-4 + x - x^2 + Log[x]))/x^2)*(27 + 21*x - 6*x^2 + 3*E^(2 + 2*x)*x^2 + 6*x^3 + (-6 - 6*x)*Log[x]))/(E^(2 + 2*x + (2*E^(-2 - 2*x)*(-4 + x - x^2 + Log[x]))/x^2)*x^4 - 2*E^(2 + 2*x + (E^(-2 - 2*x)*(-4 + x - x^2 + Log[x]))/x^2)*x^5 + E^(2 + 2*x)*x^6), x]","F",-1
3962,1,26,20,0.1036451,"\int \frac{800 e^4 x+\left(100 e^2-800 e^4 x\right) \log (x)-100 e^2 \log ^2(x)}{1000 e^6 x^3+300 e^4 x^2 \log (x)+30 e^2 x \log ^2(x)+\log ^3(x)} \, dx","Integrate[(800*E^4*x + (100*E^2 - 800*E^4*x)*Log[x] - 100*E^2*Log[x]^2)/(1000*E^6*x^3 + 300*E^4*x^2*Log[x] + 30*E^2*x*Log[x]^2 + Log[x]^3),x]","-\frac{100 e^2 x \left(9 e^2 x+\log (x)\right)}{\left(10 e^2 x+\log (x)\right)^2}","\left(5-\frac{x}{x+\frac{\log (x)}{10 e^2}}\right)^2",1,"(-100*E^2*x*(9*E^2*x + Log[x]))/(10*E^2*x + Log[x])^2","A",1
3963,1,15,18,0.0024268,"\int \frac{-4+4 x^5-\log (x)}{x^2} \, dx","Integrate[(-4 + 4*x^5 - Log[x])/x^2,x]","x^4+\frac{5}{x}+\frac{\log (x)}{x}","\frac{\left(x^4+6\right) x-2 x+\log (x)+5}{x}",1,"5/x + x^4 + Log[x]/x","A",1
3964,1,24,25,0.160159,"\int \frac{e^{\frac{3+16 e^4 x-16 x^2+48 e^{3/4} x^2}{16 x}} \left(-3-16 x^2+48 e^{3/4} x^2\right)}{16 x^2} \, dx","Integrate[(E^((3 + 16*E^4*x - 16*x^2 + 48*E^(3/4)*x^2)/(16*x))*(-3 - 16*x^2 + 48*E^(3/4)*x^2))/(16*x^2),x]","e^{\left(3 e^{3/4}-1\right) x+\frac{3}{16 x}+e^4}","e^{3 \left(\frac{1}{16 x^2}+e^{3/4}\right) x-x+e^4}",1,"E^(E^4 + 3/(16*x) + (-1 + 3*E^(3/4))*x)","A",1
3965,1,23,23,0.0081321,"\int \frac{-18 x+2 x \log (25)}{-8-9 x^2+x^2 \log (25)} \, dx","Integrate[(-18*x + 2*x*Log[25])/(-8 - 9*x^2 + x^2*Log[25]),x]","\frac{2 (\log (25)-9) \log \left(x^2 (\log (25)-9)-8\right)}{\log (625)-18}","\log \left(\frac{1}{4} \left(-5 x^2+\frac{1}{2} x (x+x \log (25))-4\right)\right)",1,"(2*(-9 + Log[25])*Log[-8 + x^2*(-9 + Log[25])])/(-18 + Log[625])","A",1
3966,1,31,33,0.1116972,"\int \frac{-1000-1500 x-1500 x^2+e^{x^2} \left(200+340 x+300 x^2-60 x^3\right)+\left(400+300 x+600 x^2+e^{x^2} \left(-80-60 x-120 x^2\right)\right) \log \left(5-e^{x^2}\right)+\left(-40-60 x^2+e^{x^2} \left(8+12 x^2\right)\right) \log ^2\left(5-e^{x^2}\right)}{-500+1500 x^2-1125 x^4+e^{x^2} \left(100-300 x^2+225 x^4\right)+\left(200-600 x^2+450 x^4+e^{x^2} \left(-40+120 x^2-90 x^4\right)\right) \log \left(5-e^{x^2}\right)+\left(-20+60 x^2-45 x^4+e^{x^2} \left(4-12 x^2+9 x^4\right)\right) \log ^2\left(5-e^{x^2}\right)} \, dx","Integrate[(-1000 - 1500*x - 1500*x^2 + E^x^2*(200 + 340*x + 300*x^2 - 60*x^3) + (400 + 300*x + 600*x^2 + E^x^2*(-80 - 60*x - 120*x^2))*Log[5 - E^x^2] + (-40 - 60*x^2 + E^x^2*(8 + 12*x^2))*Log[5 - E^x^2]^2)/(-500 + 1500*x^2 - 1125*x^4 + E^x^2*(100 - 300*x^2 + 225*x^4) + (200 - 600*x^2 + 450*x^4 + E^x^2*(-40 + 120*x^2 - 90*x^4))*Log[5 - E^x^2] + (-20 + 60*x^2 - 45*x^4 + E^x^2*(4 - 12*x^2 + 9*x^4))*Log[5 - E^x^2]^2),x]","-\frac{2 \left(2 x-\frac{5}{\log \left(5-e^{x^2}\right)-5}\right)}{3 x^2-2}","\frac{2 \left(\frac{5}{5-\log \left(5-e^{x^2}\right)}+2 x\right)}{2-3 x^2}",1,"(-2*(2*x - 5/(-5 + Log[5 - E^x^2])))/(-2 + 3*x^2)","A",1
3967,1,29,25,0.0082889,"\int \frac{e^x (4-4 x)+e^x (-1+x) \log (4 \log (5)+\log (5) \log (25))}{-6 x^2+x^2 \log (4 \log (5)+\log (5) \log (25))} \, dx","Integrate[(E^x*(4 - 4*x) + E^x*(-1 + x)*Log[4*Log[5] + Log[5]*Log[25]])/(-6*x^2 + x^2*Log[4*Log[5] + Log[5]*Log[25]]),x]","\frac{e^x (\log (\log (5) (4+\log (25)))-4)}{x (\log (\log (5) (4+\log (25)))-6)}","\frac{e^x}{x+\frac{2 x}{4-\log (\log (5) (4+\log (25)))}}",1,"(E^x*(-4 + Log[Log[5]*(4 + Log[25])]))/(x*(-6 + Log[Log[5]*(4 + Log[25])]))","A",1
3968,1,31,26,0.0791526,"\int \frac{-29+290 x-290 x^2+58 x^3+e^x \left(1-9 x+9 x^2-2 x^3\right)}{29 x-29 x^2+e^x \left(-x+x^2\right)} \, dx","Integrate[(-29 + 290*x - 290*x^2 + 58*x^3 + E^x*(1 - 9*x + 9*x^2 - 2*x^3))/(29*x - 29*x^2 + E^x*(-x + x^2)),x]","-x^2+8 x-\log \left(29-e^x\right)-\log (1-x)-\log (x)","4-\log \left(e^{(x-4)^2} \left(29-e^x\right) (1-x) x\right)",1,"8*x - x^2 - Log[29 - E^x] - Log[1 - x] - Log[x]","A",1
3969,1,71,32,0.6683048,"\int \frac{-216 x+216 x^3-54 x^5+e^{4/x} \left(-216+54 x+108 x^2+27 x^3\right)+\left(-54 x-27 x^3\right) \log (2)}{16 x^3+e^{8/x} x^3-16 x^5+4 x^7+\left(8 x^3-4 x^5\right) \log (2)+x^3 \log ^2(2)+e^{4/x} \left(-8 x^3+4 x^5-2 x^3 \log (2)\right)} \, dx","Integrate[(-216*x + 216*x^3 - 54*x^5 + E^(4/x)*(-216 + 54*x + 108*x^2 + 27*x^3) + (-54*x - 27*x^3)*Log[2])/(16*x^3 + E^(8/x)*x^3 - 16*x^5 + 4*x^7 + (8*x^3 - 4*x^5)*Log[2] + x^3*Log[2]^2 + E^(4/x)*(-8*x^3 + 4*x^5 - 2*x^3*Log[2])),x]","\frac{27 \left(4 x^5+8 x^4-8 x^3-4 x^2 (8+\log (2))+32+\log (256)\right)}{4 x \left(2 x^2+e^{4/x}-4-\log (2)\right) \left(x^3+2 x^2-4-\log (2)\right)}","\frac{27}{2 x-\frac{x \left(e^{4/x}-\log (2)\right)}{2-x^2}}",1,"(27*(32 - 8*x^3 + 8*x^4 + 4*x^5 - 4*x^2*(8 + Log[2]) + Log[256]))/(4*x*(-4 + E^(4/x) + 2*x^2 - Log[2])*(-4 + 2*x^2 + x^3 - Log[2]))","B",1
3970,1,36,17,0.0036537,"\int \left(5-16 x+3 x^2+(-6+4 x) \log \left(x^2\right)+\log ^2\left(x^2\right)\right) \, dx","Integrate[5 - 16*x + 3*x^2 + (-6 + 4*x)*Log[x^2] + Log[x^2]^2,x]","x^3-10 x^2+x \log ^2\left(x^2\right)+2 x^2 \log \left(x^2\right)-10 x \log \left(x^2\right)+25 x","x \left(\left(\log \left(x^2\right)+x-5\right)^2-\frac{4}{x}\right)",1,"25*x - 10*x^2 + x^3 - 10*x*Log[x^2] + 2*x^2*Log[x^2] + x*Log[x^2]^2","B",1
3971,1,131,21,0.5739568,"\int \frac{-10 x^7 \log (2)+\left(45 x^4+5 x^9\right) \log ^2(2)+\left(10 x^5+\left(-54 x^2-6 x^7\right) \log (2)\right) \log \left(9+x^5\right)+\left(9+x^5\right) \log ^2\left(9+x^5\right)}{\left(9+x^5\right) \log ^2(2)} \, dx","Integrate[(-10*x^7*Log[2] + (45*x^4 + 5*x^9)*Log[2]^2 + (10*x^5 + (-54*x^2 - 6*x^7)*Log[2])*Log[9 + x^5] + (9 + x^5)*Log[9 + x^5]^2)/((9 + x^5)*Log[2]^2),x]","\frac{\frac{1}{27} x^3 \log (1237940039285380274899124224) \, _2F_1\left(\frac{3}{5},1;\frac{8}{5};-\frac{x^5}{9}\right)-\frac{10}{9} x^3 \log (8) \, _2F_1\left(\frac{3}{5},1;\frac{8}{5};-\frac{x^5}{9}\right)+x^5 \log ^2(2)+x \log ^2\left(x^5+9\right)-9 \log ^2(2) \log \left(x^5+9\right)+\frac{1}{5} \log (32) \log (512) \log \left(x^5+9\right)-\frac{2}{3} x^3 \log (32)+\frac{10}{9} x^3 \log (8)-\frac{2}{3} x^3 \log (8) \log \left(x^5+9\right)}{\log ^2(2)}","x \left(\frac{\log \left(x^5+9\right)}{\log (2)}-x^2\right)^2",1,"(x^5*Log[2]^2 + (10*x^3*Log[8])/9 - (10*x^3*Hypergeometric2F1[3/5, 1, 8/5, -1/9*x^5]*Log[8])/9 - (2*x^3*Log[32])/3 + (x^3*Hypergeometric2F1[3/5, 1, 8/5, -1/9*x^5]*Log[1237940039285380274899124224])/27 - 9*Log[2]^2*Log[9 + x^5] - (2*x^3*Log[8]*Log[9 + x^5])/3 + (Log[32]*Log[512]*Log[9 + x^5])/5 + x*Log[9 + x^5]^2)/Log[2]^2","C",0
3972,1,24,24,0.0164225,"\int \frac{3 x+\frac{x^3 \left(-27+18 x-3 x^2\right)}{e^{16}}}{9 x-6 x^2+x^3} \, dx","Integrate[(3*x + (x^3*(-27 + 18*x - 3*x^2))/E^16)/(9*x - 6*x^2 + x^3),x]","\frac{3 \left(-\frac{x^3}{3}-\frac{e^{16}}{x-3}+9\right)}{e^{16}}","\frac{3}{3-x}-e^{3 (\log (x)-7)+5}+\log (3)",1,"(3*(9 - E^16/(-3 + x) - x^3/3))/E^16","A",1
3973,1,72,25,0.0793937,"\int \frac{-9+24 x+32 x^3+16 x^4+e^4 \left(-12 x-16 x^3\right)+e^{4 x} \left(16 x^4+32 x^5\right)+e^{2 x} \left(8 x^3+96 x^4+32 x^5+e^4 \left(-16 x^3-32 x^4\right)\right)}{8 x^3} \, dx","Integrate[(-9 + 24*x + 32*x^3 + 16*x^4 + E^4*(-12*x - 16*x^3) + E^(4*x)*(16*x^4 + 32*x^5) + E^(2*x)*(8*x^3 + 96*x^4 + 32*x^5 + E^4*(-16*x^3 - 32*x^4)))/(8*x^3),x]","e^{4 x} x^2+x^2+e^{2 x} \left(2 x^2+4 x-\frac{3}{2}\right)+\frac{9}{16 x^2}-2 e^{2 x+4} x-2 e^4 x+4 x+\frac{3 e^4}{2 x}-\frac{3}{x}","\left(\left(\frac{3}{4 x^2}-e^{2 x}-1\right) x+e^4-2\right)^2",1,"9/(16*x^2) - 3/x + (3*E^4)/(2*x) + 4*x - 2*E^4*x - 2*E^(4 + 2*x)*x + x^2 + E^(4*x)*x^2 + E^(2*x)*(-3/2 + 4*x + 2*x^2)","B",1
3974,1,15,27,0.0066704,"\int \frac{1}{3} \left(e^x (1+x)-5^x \log (5)\right) \, dx","Integrate[(E^x*(1 + x) - 5^x*Log[5])/3,x]","\frac{1}{3} \left(e^x x-5^x\right)","\frac{1}{3} \left(e^x x-5^x-e^{12-\frac{2}{e^2}}-3\right)",1,"(-5^x + E^x*x)/3","A",1
3975,1,17,17,0.2097502,"\int \frac{-4-e^x+4 x+8 x \log (2 x)}{-e^x-4 x+4 x^2 \log (2 x)} \, dx","Integrate[(-4 - E^x + 4*x + 8*x*Log[2*x])/(-E^x - 4*x + 4*x^2*Log[2*x]),x]","\log \left(-4 x^2 \log (2 x)+4 x+e^x\right)","\log \left(e^x+4 x (1-x \log (2 x))\right)",1,"Log[E^x + 4*x - 4*x^2*Log[2*x]]","A",1
3976,1,41,24,0.1670054,"\int \frac{e^x x^3+x^4+e^{e^x} \left(-6 x^2-6 e^x x^2\right)+\left(e^{2 e^x} \left(2 x+2 e^x x\right)+e^{e^x} \left(6 x^2-6 e^{2 x} x^2+e^x \left(6 x-6 x^3\right)\right)\right) \log \left(2 e^x+2 x\right)+e^{2 e^x} \left(-2 x+2 e^{2 x} x+e^x \left(-2+2 x^2\right)\right) \log ^2\left(2 e^x+2 x\right)}{e^x x^3+x^4} \, dx","Integrate[(E^x*x^3 + x^4 + E^E^x*(-6*x^2 - 6*E^x*x^2) + (E^(2*E^x)*(2*x + 2*E^x*x) + E^E^x*(6*x^2 - 6*E^(2*x)*x^2 + E^x*(6*x - 6*x^3)))*Log[2*E^x + 2*x] + E^(2*E^x)*(-2*x + 2*E^(2*x)*x + E^x*(-2 + 2*x^2))*Log[2*E^x + 2*x]^2)/(E^x*x^3 + x^4),x]","\frac{e^{2 e^x} \log ^2\left(2 \left(x+e^x\right)\right)}{x^2}+x-\frac{6 e^{e^x} \log \left(2 \left(x+e^x\right)\right)}{x}","x+\left(3-\frac{e^{e^x} \log \left(2 \left(x+e^x\right)\right)}{x}\right)^2",1,"x - (6*E^E^x*Log[2*(E^x + x)])/x + (E^(2*E^x)*Log[2*(E^x + x)]^2)/x^2","A",1
3977,1,21,24,0.3307809,"\int \frac{e^{4 x} \left(50 x^2+100 x^3\right)+e^{-2 x+2 \log ^2(x)} \left(2 e^{4 x} x+4 e^{4 x} \log (x)\right)+e^{-x+\log ^2(x)} \left(e^{4 x} \left(-10 x-30 x^2\right)-20 e^{4 x} x \log (x)\right)}{x} \, dx","Integrate[(E^(4*x)*(50*x^2 + 100*x^3) + E^(-2*x + 2*Log[x]^2)*(2*E^(4*x)*x + 4*E^(4*x)*Log[x]) + E^(-x + Log[x]^2)*(E^(4*x)*(-10*x - 30*x^2) - 20*E^(4*x)*x*Log[x]))/x,x]","e^{2 x} \left(e^{\log ^2(x)}-5 e^x x\right)^2","e^{4 x} \left(5 x-e^{\log ^2(x)-x}\right)^2",1,"E^(2*x)*(E^Log[x]^2 - 5*E^x*x)^2","A",1
3978,1,16,21,0.113598,"\int \frac{12+e^x \left(3+3 x+x^2\right)}{16 x^2+8 e^x x^2+e^{2 x} x^2} \, dx","Integrate[(12 + E^x*(3 + 3*x + x^2))/(16*x^2 + 8*E^x*x^2 + E^(2*x)*x^2),x]","\frac{-x-3}{\left(e^x+4\right) x}","\frac{x-\frac{4 (x+3)}{e^x+4}}{4 x}",1,"(-3 - x)/((4 + E^x)*x)","A",1
3979,1,20,24,0.0030699,"\int \frac{-10-3 x^2+x^2 \log (x)}{6 x^2} \, dx","Integrate[(-10 - 3*x^2 + x^2*Log[x])/(6*x^2),x]","-\frac{2 x}{3}+\frac{5}{3 x}+\frac{1}{6} x \log (x)","\frac{4 \left(2-x^2\right)+x^2 \log (x)+2}{6 x}",1,"5/(3*x) - (2*x)/3 + (x*Log[x])/6","A",1
3980,1,32,26,0.0668682,"\int \frac{-14-4 \log \left(\frac{4}{x}\right)+\log (x)}{-9 x-4 x \log \left(\frac{4}{x}\right)+x \log (x)} \, dx","Integrate[(-14 - 4*Log[4/x] + Log[x])/(-9*x - 4*x*Log[4/x] + x*Log[x]),x]","-\frac{4}{5} \log \left(\frac{4}{x}\right)+\frac{\log (x)}{5}-\log \left(-4 \log \left(\frac{4}{x}\right)+\log (x)-9\right)","\log \left(\frac{3 x}{4 \left(\log \left(\frac{4}{x}\right)+\frac{1}{4} (-\log (x)-3)+3\right)}\right)",1,"(-4*Log[4/x])/5 + Log[x]/5 - Log[-9 - 4*Log[4/x] + Log[x]]","A",1
3981,1,21,22,0.2647597,"\int \frac{1+x+2 e x^2+\left(-8 x+2 x^2+2 e x^3+2 x \log (x)\right) \log \left(4-x-e x^2-\log (x)\right)}{\left(-4 x+x^2+e x^3+x \log (x)\right) \log \left(4-x-e x^2-\log (x)\right)} \, dx","Integrate[(1 + x + 2*E*x^2 + (-8*x + 2*x^2 + 2*E*x^3 + 2*x*Log[x])*Log[4 - x - E*x^2 - Log[x]])/((-4*x + x^2 + E*x^3 + x*Log[x])*Log[4 - x - E*x^2 - Log[x]]),x]","\log \left(\log \left(-e x^2-x-\log (x)+4\right)\right)+2 x","\log \left(\log \left(-e x^2-x-\log (x)+4\right)\right)+2 x-3",1,"2*x + Log[Log[4 - x - E*x^2 - Log[x]]]","A",1
3982,1,30,30,0.024398,"\int \frac{-2 e x^2+e^{\frac{1}{2} \left(28+e^4\right)} \left(-2 e^5+4 e x\right)}{e^8 x^2-2 e^4 x^3+x^4} \, dx","Integrate[(-2*E*x^2 + E^((28 + E^4)/2)*(-2*E^5 + 4*E*x))/(E^8*x^2 - 2*E^4*x^3 + x^4),x]","-\frac{2 e \left(x-e^{14+\frac{e^4}{2}}\right)}{\left(e^4-x\right) x}","\frac{2 e \left(e^{\frac{1}{2} \left(28+e^4\right)}-x\right)}{\left(e^4-x\right) x}",1,"(-2*E*(-E^(14 + E^4/2) + x))/((E^4 - x)*x)","A",1
3983,1,20,24,0.0091179,"\int \frac{-2+2 x-3 e^x x-3 e^{x^3} x^3}{x} \, dx","Integrate[(-2 + 2*x - 3*E^x*x - 3*E^x^3*x^3)/x,x]","-e^{x^3}+2 x-3 e^x-2 \log (x)","-e^{x^3}-\log \left(x^2\right)+2 x-3 e^x+\log (2)",1,"-3*E^x - E^x^3 + 2*x - 2*Log[x]","A",1
3984,1,25,23,0.2459325,"\int \frac{e^{-2 x} \left(2 e^{2 x} x^2+e^{\frac{e^{-2 x} \left(-1+e^{2 x} x \log ^2(4)\right)}{2 x}} (1+2 x)\right)}{2 x^2} \, dx","Integrate[(2*E^(2*x)*x^2 + E^((-1 + E^(2*x)*x*Log[4]^2)/(2*E^(2*x)*x))*(1 + 2*x))/(2*E^(2*x)*x^2),x]","x+e^{\frac{\log ^2(4)}{2}-\frac{e^{-2 x}}{2 x}}","x+e^{\frac{1}{2} \left(\log ^2(4)-\frac{e^{-2 x}}{x}\right)}",1,"E^(-1/2*1/(E^(2*x)*x) + Log[4]^2/2) + x","A",1
3985,1,26,26,0.2464686,"\int \frac{\left(-25 x+9 x^2-8 x^3+16 x^4-50 \log (x)\right) \log \left(\frac{e^{\frac{25}{16 x^2}}}{x-x^2+2 \log (x)}\right)}{4 x^4-4 x^5+8 x^3 \log (x)} \, dx","Integrate[((-25*x + 9*x^2 - 8*x^3 + 16*x^4 - 50*Log[x])*Log[E^(25/(16*x^2))/(x - x^2 + 2*Log[x])])/(4*x^4 - 4*x^5 + 8*x^3*Log[x]),x]","\log ^2\left(\frac{e^{\frac{25}{16 x^2}}}{-x^2+x+2 \log (x)}\right)","\log ^2\left(\frac{e^{\frac{25}{16 x^2}}}{-x^2+x+2 \log (x)}\right)",1,"Log[E^(25/(16*x^2))/(x - x^2 + 2*Log[x])]^2","A",1
3986,1,29,28,0.0522327,"\int \frac{e^4 \left(480 x-144 x^2-120 x^3+12 x^4\right)+e^2 \left(1600 x^2-640 x^3-1200 x^4+160 x^5\right)}{25600 x^2+19200 x^4+4800 x^6+400 x^8+e^4 \left(576+432 x^2+108 x^4+9 x^6\right)+e^2 \left(7680 x+5760 x^3+1440 x^5+120 x^7\right)} \, dx","Integrate[(E^4*(480*x - 144*x^2 - 120*x^3 + 12*x^4) + E^2*(1600*x^2 - 640*x^3 - 1200*x^4 + 160*x^5))/(25600*x^2 + 19200*x^4 + 4800*x^6 + 400*x^8 + E^4*(576 + 432*x^2 + 108*x^4 + 9*x^6) + E^2*(7680*x + 5760*x^3 + 1440*x^5 + 120*x^7)),x]","-\frac{4 e^2 (x-5) x^2}{\left(20 x+3 e^2\right) \left(x^2+4\right)^2}","\frac{(5-x) x^2}{\left(\frac{5 x}{e^2}+\frac{3}{4}\right) \left(x^2+4\right)^2}",1,"(-4*E^2*(-5 + x)*x^2)/((3*E^2 + 20*x)*(4 + x^2)^2)","A",1
3987,1,18,27,0.2289447,"\int \frac{e^{1+e^{3+x}} \left(-16-12 x-2 x^2+e^{3+x} \left(4 x+4 x^2+x^3\right)\right)}{x^5} \, dx","Integrate[(E^(1 + E^(3 + x))*(-16 - 12*x - 2*x^2 + E^(3 + x)*(4*x + 4*x^2 + x^3)))/x^5,x]","\frac{e^{e^{x+3}+1} (x+2)^2}{x^4}","\frac{e^{e^{x+3}+1} (x (x+4)+4)^2}{x^4 (x+2)^2}",1,"(E^(1 + E^(3 + x))*(2 + x)^2)/x^4","A",1
3988,1,9,13,0.0116123,"\int \frac{6}{2 x+3 x \log (x)} \, dx","Integrate[6/(2*x + 3*x*Log[x]),x]","2 \log (3 \log (x)+2)","\log \left(\frac{(3 \log (x)+2)^2}{e^2}\right)",1,"2*Log[2 + 3*Log[x]]","A",1
3989,1,24,25,5.0410455,"\int \frac{3 e^{\log ^8(4)} \log (x)+e^{\log ^8(4)} (-3-8 x) \log \left(\frac{3+8 x}{x}\right)+3 e^{\log ^8(4)} \log (\log (2))}{\left(3 x+8 x^2\right) \log ^2(x) \log ^2\left(\frac{3+8 x}{x}\right)+\left(6 x+16 x^2\right) \log (x) \log ^2\left(\frac{3+8 x}{x}\right) \log (\log (2))+\left(3 x+8 x^2\right) \log ^2\left(\frac{3+8 x}{x}\right) \log ^2(\log (2))} \, dx","Integrate[(3*E^Log[4]^8*Log[x] + E^Log[4]^8*(-3 - 8*x)*Log[(3 + 8*x)/x] + 3*E^Log[4]^8*Log[Log[2]])/((3*x + 8*x^2)*Log[x]^2*Log[(3 + 8*x)/x]^2 + (6*x + 16*x^2)*Log[x]*Log[(3 + 8*x)/x]^2*Log[Log[2]] + (3*x + 8*x^2)*Log[(3 + 8*x)/x]^2*Log[Log[2]]^2),x]","\frac{e^{\log ^8(4)}}{\log \left(\frac{3}{x}+8\right) \log (x \log (2))}","\frac{e^{\log ^8(4)}}{\log \left(\frac{3}{x}+8\right) (\log (x)+\log (\log (2)))}",1,"E^Log[4]^8/(Log[8 + 3/x]*Log[x*Log[2]])","A",1
3990,1,24,23,0.1084057,"\int \frac{\log (x)+(8 e-16 e \log (x)+(1-2 \log (x)) \log (2 x)) \log \left(\frac{8 e+\log (2 x)}{4 e}\right)}{72 e x^3+9 x^3 \log (2 x)} \, dx","Integrate[(Log[x] + (8*E - 16*E*Log[x] + (1 - 2*Log[x])*Log[2*x])*Log[(8*E + Log[2*x])/(4*E)])/(72*E*x^3 + 9*x^3*Log[2*x]),x]","\frac{\log (x) \left(\log \left(\frac{1}{4} (\log (2 x)+8 e)\right)-1\right)}{9 x^2}","\frac{\log (x) \log \left(\frac{\log (2 x)}{4 e}+2\right)}{9 x^2}",1,"(Log[x]*(-1 + Log[(8*E + Log[2*x])/4]))/(9*x^2)","A",1
3991,1,38,31,0.146151,"\int \frac{x+10 x^2+x^4-25 x^6+e^{2 x} \left(x^2+2 x^3-17 x^4-10 x^5\right)+e^x \left(-2 x^3-2 x^4+42 x^5+10 x^6\right)+\left(-1-4 x+5 x^2\right) \log \left(x+5 x^2\right)}{-x^6-5 x^7+e^{2 x} \left(-x^4-5 x^5\right)+e^x \left(2 x^5+10 x^6\right)+\left(x^2+5 x^3\right) \log \left(x+5 x^2\right)} \, dx","Integrate[(x + 10*x^2 + x^4 - 25*x^6 + E^(2*x)*(x^2 + 2*x^3 - 17*x^4 - 10*x^5) + E^x*(-2*x^3 - 2*x^4 + 42*x^5 + 10*x^6) + (-1 - 4*x + 5*x^2)*Log[x + 5*x^2])/(-x^6 - 5*x^7 + E^(2*x)*(-x^4 - 5*x^5) + E^x*(2*x^5 + 10*x^6) + (x^2 + 5*x^3)*Log[x + 5*x^2]),x]","\log \left(x^4-2 e^x x^3+e^{2 x} x^2-\log (x (5 x+1))\right)+\frac{1}{x}+\log (x)","\log \left(x^2 \left(x-e^x\right)^2-\log \left(5 x^2+x\right)\right)+\frac{1}{x}+\log (x)",1,"x^(-1) + Log[x] + Log[E^(2*x)*x^2 - 2*E^x*x^3 + x^4 - Log[x*(1 + 5*x)]]","A",1
3992,1,14,19,0.0593985,"\int \frac{35+7 x+(-6+2 x) \log (5+x)+(-5-x) \log ^2(5+x)}{45-21 x-x^2+x^3} \, dx","Integrate[(35 + 7*x + (-6 + 2*x)*Log[5 + x] + (-5 - x)*Log[5 + x]^2)/(45 - 21*x - x^2 + x^3),x]","\frac{\log ^2(x+5)-7}{x-3}","\frac{-x+\log ^2(x+5)-4}{x-3}+1",1,"(-7 + Log[5 + x]^2)/(-3 + x)","A",1
3993,1,16,16,0.3556706,"\int \frac{-50 x^4-50 x \log (x)+\left(-100-25 x-300 x^3-75 x^4\right) \log (4+x)}{\left(4 x^7+x^8+\left(8 x^4+2 x^5\right) \log (x)+\left(4 x+x^2\right) \log ^2(x)\right) \log ^3(4+x)} \, dx","Integrate[(-50*x^4 - 50*x*Log[x] + (-100 - 25*x - 300*x^3 - 75*x^4)*Log[4 + x])/((4*x^7 + x^8 + (8*x^4 + 2*x^5)*Log[x] + (4*x + x^2)*Log[x]^2)*Log[4 + x]^3),x]","\frac{25}{\left(x^3+\log (x)\right) \log ^2(x+4)}","\frac{25}{\left(x^3+\log (x)\right) \log ^2(x+4)}",1,"25/((x^3 + Log[x])*Log[4 + x]^2)","A",1
3994,1,28,23,0.0350297,"\int \frac{1}{4} e^{-3+x^2} \left(e^{3-x^2} (8 e+8 x)+e^{30 e^{-3+x^2}} \left(e^{3-x^2} x^3+15 x^5\right)+e^{15 e^{-3+x^2}} \left(60 e x^3+60 x^4+e^{3-x^2} \left(4 e x+6 x^2\right)\right)\right) \, dx","Integrate[(E^(-3 + x^2)*(E^(3 - x^2)*(8*E + 8*x) + E^(30*E^(-3 + x^2))*(E^(3 - x^2)*x^3 + 15*x^5) + E^(15*E^(-3 + x^2))*(60*E*x^3 + 60*x^4 + E^(3 - x^2)*(4*E*x + 6*x^2))))/4,x]","\frac{1}{16} \left(e^{15 e^{x^2-3}} x^2+4 x+4 e\right)^2","\left(\frac{1}{4} e^{15 e^{x^2-3}} x^2+x+e\right)^2",1,"(4*E + 4*x + E^(15*E^(-3 + x^2))*x^2)^2/16","A",1
3995,1,21,21,0.2551683,"\int \frac{e^{-3+e^{-\frac{x}{5-x+\log (2)}}-\frac{x}{5-x+\log (2)}} (-15-3 \log (2))}{50-20 x+2 x^2+(20-4 x) \log (2)+2 \log ^2(2)} \, dx","Integrate[(E^(-3 + E^(-(x/(5 - x + Log[2]))) - x/(5 - x + Log[2]))*(-15 - 3*Log[2]))/(50 - 20*x + 2*x^2 + (20 - 4*x)*Log[2] + 2*Log[2]^2),x]","\frac{3}{2} e^{e^{\frac{x}{x-5-\log (2)}}-3}","\frac{3}{2} e^{e^{\frac{x}{x-5-\log (2)}}-3}",1,"(3*E^(-3 + E^(x/(-5 + x - Log[2]))))/2","A",1
3996,1,26,21,0.0108373,"\int \left(-20+e^x (4+4 x)+e^{5+x} (4+4 x)+e^{5 e^2} \left(-5+e^x (1+x)+e^{5+x} (1+x)\right)\right) \, dx","Integrate[-20 + E^x*(4 + 4*x) + E^(5 + x)*(4 + 4*x) + E^(5*E^2)*(-5 + E^x*(1 + x) + E^(5 + x)*(1 + x)),x]","\left(4+e^{5 e^2}\right) \left(e^x x+e^{x+5} x-5 x\right)","\left(4+e^{5 e^2}\right) \left(e^x+e^{x+5}-5\right) x",1,"(4 + E^(5*E^2))*(-5*x + E^x*x + E^(5 + x)*x)","A",1
3997,1,27,27,0.0637956,"\int \frac{1}{3} \left(1+3 e^3+4 x+e^{5+x+e^x x} (3+3 x)\right) \, dx","Integrate[(1 + 3*E^3 + 4*x + E^(5 + x + E^x*x)*(3 + 3*x))/3,x]","\frac{2 x^2}{3}+e^3 x+\frac{x}{3}+e^{e^x x+5}","\frac{1}{3} \left(2 x^2+x+6\right)+e^3 x+e^{e^x x+5}",1,"E^(5 + E^x*x) + x/3 + E^3*x + (2*x^2)/3","A",1
3998,1,22,21,0.1700469,"\int \frac{-10+e^{e^{x^2}} \left(2-4 e^{x^2} x^2\right)}{-5 x+e^{e^{x^2}} x+x^2} \, dx","Integrate[(-10 + E^E^x^2*(2 - 4*E^x^2*x^2))/(-5*x + E^E^x^2*x + x^2),x]","2 \log (x)-2 \log \left(-e^{e^{x^2}}-x+5\right)","\log \left(\frac{x^2 (\log (16)-2)}{\left(e^{e^{x^2}}+x-5\right)^2}\right)",1,"-2*Log[5 - E^E^x^2 - x] + 2*Log[x]","A",1
3999,1,13,14,0.0548633,"\int \frac{3+4 x+(1+x) \log (1+x)}{9 x^2+9 x^3+\left(6 x^2+6 x^3\right) \log (1+x)+\left(x^2+x^3\right) \log ^2(1+x)} \, dx","Integrate[(3 + 4*x + (1 + x)*Log[1 + x])/(9*x^2 + 9*x^3 + (6*x^2 + 6*x^3)*Log[1 + x] + (x^2 + x^3)*Log[1 + x]^2),x]","-\frac{1}{x (\log (x+1)+3)}","\frac{1}{x (-\log (x+1)-3)}",1,"-(1/(x*(3 + Log[1 + x])))","A",1
4000,1,15,15,0.0095321,"\int \frac{8 e^x \log (-7+4 x)+e^x (-7+4 x) \log ^2(-7+4 x)}{-175+100 x} \, dx","Integrate[(8*E^x*Log[-7 + 4*x] + E^x*(-7 + 4*x)*Log[-7 + 4*x]^2)/(-175 + 100*x),x]","\frac{1}{25} e^x \log ^2(4 x-7)","\frac{1}{25} e^x \log ^2(4 x-7)",1,"(E^x*Log[-7 + 4*x]^2)/25","A",1
4001,1,27,22,0.0054362,"\int -\frac{1568 e^{\frac{1}{16} e^{4+\log ^2(2)}} x}{\left(49+16 x^2\right) \left(196+64 x^2\right)} \, dx","Integrate[(-1568*E^(E^(4 + Log[2]^2)/16)*x)/((49 + 16*x^2)*(196 + 64*x^2)),x]","\frac{49 e^{\frac{1}{16} e^{4+\log ^2(2)}}}{4 \left(16 x^2+49\right)}","\frac{e^{e^{(\log (2)-2)^2}}}{\frac{64 x^2}{49}+4}",1,"(49*E^(E^(4 + Log[2]^2)/16))/(4*(49 + 16*x^2))","A",1
4002,1,18,24,0.1703683,"\int \frac{-12-24 x-20 e^6 x-4 e^6 x \log (x)}{36 x+24 x^2+4 x^3+\left(12 x+4 x^2\right) \log (x)+x \log ^2(x)} \, dx","Integrate[(-12 - 24*x - 20*E^6*x - 4*E^6*x*Log[x])/(36*x + 24*x^2 + 4*x^3 + (12*x + 4*x^2)*Log[x] + x*Log[x]^2),x]","-\frac{4 \left(e^6 x-3\right)}{2 x+\log (x)+6}","\frac{3-e^6 x}{\frac{1}{4} (2 x+\log (x)+2)+1}",1,"(-4*(-3 + E^6*x))/(6 + 2*x + Log[x])","A",1
4003,1,29,27,1.4590374,"\int \frac{e^{-4+e^{\frac{x^2}{5+x}}-x} \left(-500-200 x-20 x^2+e^4 \left(-50 x-20 x^2-2 x^3\right)+e^{\frac{x^2}{5+x}} \left(200 x+20 x^2+e^4 \left(20 x+22 x^2+2 x^3\right)\right)\right)}{25+10 x+x^2} \, dx","Integrate[(E^(-4 + E^(x^2/(5 + x)) - x)*(-500 - 200*x - 20*x^2 + E^4*(-50*x - 20*x^2 - 2*x^3) + E^(x^2/(5 + x))*(200*x + 20*x^2 + E^4*(20*x + 22*x^2 + 2*x^3))))/(25 + 10*x + x^2),x]","e^{e^{\frac{x^2}{x+5}}-x-4} \left(2 e^4 (x+1)+20\right)","2 e^{e^{\frac{x^2}{x+5}}-x} \left(x+\frac{10}{e^4}+1\right)",1,"E^(-4 + E^(x^2/(5 + x)) - x)*(20 + 2*E^4*(1 + x))","A",1
4004,1,22,23,0.2572944,"\int \frac{e^{-\frac{4+x+x^4}{x^3}} \left(3 x^4+\left(36+42 x+6 x^2+3 x^3-3 x^5\right) \log (2+2 x)\right)}{x^3+x^4} \, dx","Integrate[(3*x^4 + (36 + 42*x + 6*x^2 + 3*x^3 - 3*x^5)*Log[2 + 2*x])/(E^((4 + x + x^4)/x^3)*(x^3 + x^4)),x]","3 e^{-\frac{x^4+x+4}{x^3}} x \log (2 (x+1))","3 e^{-\frac{x+4}{x^3}-x} x \log (2 x+2)",1,"(3*x*Log[2*(1 + x)])/E^((4 + x + x^4)/x^3)","A",1
4005,1,23,23,0.0230811,"\int \frac{4 (5+i \pi )^2-2 e^8 x^2+4 e^{16} x^4+(5+i \pi ) \left(-2-8 e^8 x^2\right)}{(5+i \pi )^2-2 e^8 (5+i \pi ) x^2+e^{16} x^4} \, dx","Integrate[(4*(5 + I*Pi)^2 - 2*E^8*x^2 + 4*E^16*x^4 + (5 + I*Pi)*(-2 - 8*E^8*x^2))/((5 + I*Pi)^2 - 2*E^8*(5 + I*Pi)*x^2 + E^16*x^4),x]","4 x+\frac{2 x}{e^8 x^2-i \pi -5}","x \left(4-\frac{2}{-e^8 x^2+i \pi +5}\right)",1,"4*x + (2*x)/(-5 - I*Pi + E^8*x^2)","A",1
4006,1,19,24,0.2120303,"\int \frac{-4-40 x-100 x^2+x^5+10 x^6+25 x^7+e^{\frac{4 x^2}{1+5 x}} \left(8 x^6+20 x^7\right)}{x^5+10 x^6+25 x^7} \, dx","Integrate[(-4 - 40*x - 100*x^2 + x^5 + 10*x^6 + 25*x^7 + E^((4*x^2)/(1 + 5*x))*(8*x^6 + 20*x^7))/(x^5 + 10*x^6 + 25*x^7),x]","\frac{1}{x^4}+e^{\frac{4 x^2}{5 x+1}}+x","\frac{1}{x^4}+x+e^{\frac{4 x}{\frac{1}{x}+5}}-\frac{e^9}{2}",1,"E^((4*x^2)/(1 + 5*x)) + x^(-4) + x","A",1
4007,1,18,20,0.1426407,"\int \frac{2-2 x-x \log \left(\frac{16}{25} e^{-2 x} x^2\right)}{x \log \left(\frac{16}{25} e^{-2 x} x^2\right)} \, dx","Integrate[(2 - 2*x - x*Log[(16*x^2)/(25*E^(2*x))])/(x*Log[(16*x^2)/(25*E^(2*x))]),x]","\log \left(\log \left(\frac{16}{25} e^{-2 x} x^2\right)\right)-x","\log \left(25 \log \left(\frac{16}{25} e^{-2 x} x^2\right)\right)-x",1,"-x + Log[Log[(16*x^2)/(25*E^(2*x))]]","A",1
4008,1,26,23,0.0370561,"\int \frac{e^{-6+3 e^3} (-1-\log (4))+e^{-6+3 e^3} \log (x)}{-x \log (4)+x \log (x)} \, dx","Integrate[(E^(-6 + 3*E^3)*(-1 - Log[4]) + E^(-6 + 3*E^3)*Log[x])/(-(x*Log[4]) + x*Log[x]),x]","e^{3 e^3-6} \left(\log \left(\frac{x}{4}\right)-\log \left(\log \left(\frac{x}{4}\right)\right)\right)","e^{3 \left(e^3-2\right)} (\log (x)-\log (\log (4)-\log (x)))",1,"E^(-6 + 3*E^3)*(Log[x/4] - Log[Log[x/4]])","A",1
4009,1,38,31,0.2128576,"\int \exp \left(-2 x+e^{-2 x} \left(225 x^6+90 x^7+9 x^8+e^{2 x} \left(25-450 x+1645 x^2+3360 x^3+1984 x^4+456 x^5+36 x^6\right)+e^x \left(-150 x^3+1320 x^4+1410 x^5+408 x^6+36 x^7\right)\right)\right) \left(1350 x^5+180 x^6-108 x^7-18 x^8+e^{2 x} \left(-450+3290 x+10080 x^2+7936 x^3+2280 x^4+216 x^5\right)+e^x \left(-450 x^2+5430 x^3+5730 x^4+1038 x^5-156 x^6-36 x^7\right)\right) \, dx","Integrate[E^(-2*x + (225*x^6 + 90*x^7 + 9*x^8 + E^(2*x)*(25 - 450*x + 1645*x^2 + 3360*x^3 + 1984*x^4 + 456*x^5 + 36*x^6) + E^x*(-150*x^3 + 1320*x^4 + 1410*x^5 + 408*x^6 + 36*x^7))/E^(2*x))*(1350*x^5 + 180*x^6 - 108*x^7 - 18*x^8 + E^(2*x)*(-450 + 3290*x + 10080*x^2 + 7936*x^3 + 2280*x^4 + 216*x^5) + E^x*(-450*x^2 + 5430*x^3 + 5730*x^4 + 1038*x^5 - 156*x^6 - 36*x^7)),x]","\exp \left(e^{-2 x} \left(3 (x+5) x^3+e^x \left(6 x^3+38 x^2+45 x-5\right)\right)^2\right)","\exp \left(\left(-x^2+3 (x+5) \left(e^{-x} x^2+2 x+3\right) x-5\right)^2\right)",1,"E^((3*x^3*(5 + x) + E^x*(-5 + 45*x + 38*x^2 + 6*x^3))^2/E^(2*x))","A",1
4010,1,143,38,0.4822589,"\int \frac{2 x^2+\left(-4 x+2 x^2\right) \left(i \pi +\log \left(\frac{5}{4}\right)\right)+\left(2-4 x+x^2\right) \left(i \pi +\log \left(\frac{5}{4}\right)\right)^2+\left(x^3+\left(-2 x^2+x^3\right) \left(i \pi +\log \left(\frac{5}{4}\right)\right)+\left(x-x^2\right) \left(i \pi +\log \left(\frac{5}{4}\right)\right)^2\right) \log \left(\frac{x^2+\left(-x+x^2\right) \left(i \pi +\log \left(\frac{5}{4}\right)\right)}{i \pi -x+\log \left(\frac{5}{4}\right)}\right)}{-x^3+\left(2 x^2-x^3\right) \left(i \pi +\log \left(\frac{5}{4}\right)\right)+\left(-x+x^2\right) \left(i \pi +\log \left(\frac{5}{4}\right)\right)^2+\left(-2 x^3+\left(4 x^2-2 x^3\right) \left(i \pi +\log \left(\frac{5}{4}\right)\right)+\left(-2 x+2 x^2\right) \left(i \pi +\log \left(\frac{5}{4}\right)\right)^2\right) \log \left(\frac{x^2+\left(-x+x^2\right) \left(i \pi +\log \left(\frac{5}{4}\right)\right)}{i \pi -x+\log \left(\frac{5}{4}\right)}\right)+\left(-x^3+\left(2 x^2-x^3\right) \left(i \pi +\log \left(\frac{5}{4}\right)\right)+\left(-x+x^2\right) \left(i \pi +\log \left(\frac{5}{4}\right)\right)^2\right) \log ^2\left(\frac{x^2+\left(-x+x^2\right) \left(i \pi +\log \left(\frac{5}{4}\right)\right)}{i \pi -x+\log \left(\frac{5}{4}\right)}\right)} \, dx","Integrate[(2*x^2 + (-4*x + 2*x^2)*(I*Pi + Log[5/4]) + (2 - 4*x + x^2)*(I*Pi + Log[5/4])^2 + (x^3 + (-2*x^2 + x^3)*(I*Pi + Log[5/4]) + (x - x^2)*(I*Pi + Log[5/4])^2)*Log[(x^2 + (-x + x^2)*(I*Pi + Log[5/4]))/(I*Pi - x + Log[5/4])])/(-x^3 + (2*x^2 - x^3)*(I*Pi + Log[5/4]) + (-x + x^2)*(I*Pi + Log[5/4])^2 + (-2*x^3 + (4*x^2 - 2*x^3)*(I*Pi + Log[5/4]) + (-2*x + 2*x^2)*(I*Pi + Log[5/4])^2)*Log[(x^2 + (-x + x^2)*(I*Pi + Log[5/4]))/(I*Pi - x + Log[5/4])] + (-x^3 + (2*x^2 - x^3)*(I*Pi + Log[5/4]) + (-x + x^2)*(I*Pi + Log[5/4])^2)*Log[(x^2 + (-x + x^2)*(I*Pi + Log[5/4]))/(I*Pi - x + Log[5/4])]^2),x]","-\frac{i (x-2) \left(x-i \pi -\log \left(\frac{5}{4}\right)\right) \left(\pi  (x-1)-i \left(x+x \log \left(\frac{5}{4}\right)-\log \left(\frac{5}{4}\right)\right)\right)}{\left(x^2 \left(1+\log \left(\frac{5}{4}\right)\right)+i \pi  \left(x^2-2 x \left(1+\log \left(\frac{5}{4}\right)\right)+\log \left(\frac{25}{16}\right)\right)+\pi ^2 (x-1)-x \log \left(\frac{5}{4}\right) \left(2+\log \left(\frac{5}{4}\right)\right)+\log ^2\left(\frac{5}{4}\right)\right) \left(1+\log \left(\frac{x \left(x+(x-1) \left(\log \left(\frac{5}{4}\right)+i \pi \right)\right)}{-x+i \pi +\log \left(\frac{5}{4}\right)}\right)\right)}","\frac{2-x}{1+\log \left(-x+\frac{x^2}{1-\frac{x}{\log \left(\frac{5}{4}\right)+i \pi }}\right)}",1,"((-I)*(-2 + x)*((-I)*Pi + x - Log[5/4])*(Pi*(-1 + x) - I*(x - Log[5/4] + x*Log[5/4])))/((Pi^2*(-1 + x) + Log[5/4]^2 + x^2*(1 + Log[5/4]) - x*Log[5/4]*(2 + Log[5/4]) + I*Pi*(x^2 - 2*x*(1 + Log[5/4]) + Log[25/16]))*(1 + Log[(x*(x + (-1 + x)*(I*Pi + Log[5/4])))/(I*Pi - x + Log[5/4])]))","B",1
4011,1,10,10,0.0027441,"\int \frac{76-3 x}{-25+x} \, dx","Integrate[(76 - 3*x)/(-25 + x),x]","\log (x-25)-3 (x-25)","\log (25-x)-3 x",1,"-3*(-25 + x) + Log[-25 + x]","A",1
4012,1,31,29,0.0876966,"\int \frac{108-111 x-267 x^2+6 x^3+143 x^4+39 x^5+\left(72-30 x-99 x^2-27 x^3\right) \log (x)+(12+4 x) \log ^2(x)+\left(-72+30 x+99 x^2+27 x^3+(-24-8 x) \log (x)\right) \log (15+5 x)+(12+4 x) \log ^2(15+5 x)}{27-9 x-57 x^2+x^3+33 x^4+9 x^5+\left(18-20 x^2-6 x^3\right) \log (x)+(3+x) \log ^2(x)+\left(-18+20 x^2+6 x^3+(-6-2 x) \log (x)\right) \log (15+5 x)+(3+x) \log ^2(15+5 x)} \, dx","Integrate[(108 - 111*x - 267*x^2 + 6*x^3 + 143*x^4 + 39*x^5 + (72 - 30*x - 99*x^2 - 27*x^3)*Log[x] + (12 + 4*x)*Log[x]^2 + (-72 + 30*x + 99*x^2 + 27*x^3 + (-24 - 8*x)*Log[x])*Log[15 + 5*x] + (12 + 4*x)*Log[15 + 5*x]^2)/(27 - 9*x - 57*x^2 + x^3 + 33*x^4 + 9*x^5 + (18 - 20*x^2 - 6*x^3)*Log[x] + (3 + x)*Log[x]^2 + (-18 + 20*x^2 + 6*x^3 + (-6 - 2*x)*Log[x])*Log[15 + 5*x] + (3 + x)*Log[15 + 5*x]^2),x]","\frac{(x+5) x^2}{3 x^2+x-\log (x)+\log (5 (x+3))-3}+4 x","x \left(\frac{x (x+5)}{3 x^2+x-\log (x)+\log (5 (x+3))-3}+4\right)",1,"4*x + (x^2*(5 + x))/(-3 + x + 3*x^2 - Log[x] + Log[5*(3 + x)])","A",1
4013,1,12,12,0.0580156,"\int \frac{-x^2+\left(-40 x-2 x^2\right) \log (20+x) \log (\log (20+x))}{(240+12 x) \log (20+x)} \, dx","Integrate[(-x^2 + (-40*x - 2*x^2)*Log[20 + x]*Log[Log[20 + x]])/((240 + 12*x)*Log[20 + x]),x]","-\frac{1}{12} x^2 \log (\log (x+20))","-\frac{1}{12} x^2 \log (\log (x+20))",1,"-1/12*(x^2*Log[Log[20 + x]])","A",1
4014,1,11,11,0.0046434,"\int \frac{1}{441} e^{\frac{1}{441} \left(441+42 x+x^2\right)} (42+2 x) \, dx","Integrate[(E^((441 + 42*x + x^2)/441)*(42 + 2*x))/441,x]","e^{\frac{1}{441} (x+21)^2}","e^{\left(\frac{x}{21}+1\right)^2}",1,"E^((21 + x)^2/441)","A",1
4015,1,113,31,1.5120924,"\int \frac{-x^5+e^{2 \left(2 x-e^{25} x+x^2-x \log (x)\right)} \left(-4+2 x-2 e^{25} x+4 x^2-2 x \log (x)\right)+e^{\frac{3}{2} \left(2 x-e^{25} x+x^2-x \log (x)\right)} \left(-12 x+6 x^2-6 e^{25} x^2+12 x^3-6 x^2 \log (x)\right)+e^{2 x-e^{25} x+x^2-x \log (x)} \left(-12 x^2+6 x^3-6 e^{25} x^3+12 x^4-6 x^3 \log (x)\right)+e^{\frac{1}{2} \left(2 x-e^{25} x+x^2-x \log (x)\right)} \left(-4 x^3+2 x^4-2 e^{25} x^4+4 x^5-2 x^4 \log (x)\right)}{x^5} \, dx","Integrate[(-x^5 + E^(2*(2*x - E^25*x + x^2 - x*Log[x]))*(-4 + 2*x - 2*E^25*x + 4*x^2 - 2*x*Log[x]) + E^((3*(2*x - E^25*x + x^2 - x*Log[x]))/2)*(-12*x + 6*x^2 - 6*E^25*x^2 + 12*x^3 - 6*x^2*Log[x]) + E^(2*x - E^25*x + x^2 - x*Log[x])*(-12*x^2 + 6*x^3 - 6*E^25*x^3 + 12*x^4 - 6*x^3*Log[x]) + E^((2*x - E^25*x + x^2 - x*Log[x])/2)*(-4*x^3 + 2*x^4 - 2*E^25*x^4 + 4*x^5 - 2*x^4*Log[x]))/x^5,x]","e^{2 x^2-2 \left(e^{25}-2\right) x} x^{-2 x-4}+4 e^{\frac{3 x^2}{2}-\frac{3}{2} \left(e^{25}-2\right) x} x^{-\frac{3 x}{2}-3}+6 e^{x^2-\left(e^{25}-2\right) x} x^{-x-2}+4 e^{\frac{x^2}{2}-\frac{1}{2} \left(e^{25}-2\right) x} x^{-\frac{x}{2}-1}-x","\frac{\left(x+e^{\frac{1}{2} x \left(x-\log (x)-e^{25}+2\right)}\right)^4}{x^4}-x",1,"-x + E^(-2*(-2 + E^25)*x + 2*x^2)*x^(-4 - 2*x) + 4*E^((-3*(-2 + E^25)*x)/2 + (3*x^2)/2)*x^(-3 - (3*x)/2) + 6*E^(-((-2 + E^25)*x) + x^2)*x^(-2 - x) + 4*E^(-1/2*((-2 + E^25)*x) + x^2/2)*x^(-1 - x/2)","B",1
4016,1,10,17,0.0031564,"\int \frac{50}{625 x+50 x \log \left(x^2\right)+x \log ^2\left(x^2\right)} \, dx","Integrate[50/(625*x + 50*x*Log[x^2] + x*Log[x^2]^2),x]","-\frac{25}{\log \left(x^2\right)+25}","\frac{x}{\frac{25 x}{\log \left(x^2\right)}+x}+4",1,"-25/(25 + Log[x^2])","A",1
4017,1,19,15,0.0011351,"\int \frac{-e^5+e^2 (6+8 x)}{e^5} \, dx","Integrate[(-E^5 + E^2*(6 + 8*x))/E^5,x]","\frac{4 x^2-e^3 x+6 x}{e^3}","\frac{4 x \left(x+\frac{3}{2}\right)}{e^3}-x",1,"(6*x - E^3*x + 4*x^2)/E^3","A",1
4018,1,23,25,0.8206374,"\int \frac{-e^{e^4+x} x+2 x^2+x \log (x)+\left(-16-x+e^{e^4+x} \left(-16+15 x+x^2\right)+(16+x) \log (x)\right) \log (16+x)}{64 x^2+4 x^3+e^{2 e^4+2 x} (16+x)+e^{e^4+x} \left(-64 x-4 x^2\right)+\left(e^{e^4+x} (-32-2 x)+64 x+4 x^2\right) \log (x)+(16+x) \log ^2(x)} \, dx","Integrate[(-(E^(E^4 + x)*x) + 2*x^2 + x*Log[x] + (-16 - x + E^(E^4 + x)*(-16 + 15*x + x^2) + (16 + x)*Log[x])*Log[16 + x])/(64*x^2 + 4*x^3 + E^(2*E^4 + 2*x)*(16 + x) + E^(E^4 + x)*(-64*x - 4*x^2) + (E^(E^4 + x)*(-32 - 2*x) + 64*x + 4*x^2)*Log[x] + (16 + x)*Log[x]^2),x]","\frac{x \log (x+16)}{2 x-e^{x+e^4}+\log (x)}","\frac{x \log (x+16)}{2 x-e^{x+e^4}+\log (x)}+2",1,"(x*Log[16 + x])/(-E^(E^4 + x) + 2*x + Log[x])","A",1
4019,1,20,24,0.1855571,"\int \frac{2+4 e^x+e^{1+x} \left(2+4 e^x\right)+\left(-4 e^x x+2 e^{1+x} x\right) \log (x)}{x+4 e^x x+4 e^{2 x} x} \, dx","Integrate[(2 + 4*E^x + E^(1 + x)*(2 + 4*E^x) + (-4*E^x*x + 2*E^(1 + x)*x)*Log[x])/(x + 4*E^x*x + 4*E^(2*x)*x),x]","\frac{2 \left(e^{x+1}+1\right) \log (x)}{2 e^x+1}","\frac{\left(e^{x+1} x+x\right) \log (x)}{\left(e^x+\frac{1}{2}\right) x}",1,"(2*(1 + E^(1 + x))*Log[x])/(1 + 2*E^x)","A",1
4020,1,18,29,0.014614,"\int \frac{e^{-2 e} \left(16+e^{2 e} \left(-5+2 x^3\right)\right)}{x^2} \, dx","Integrate[(16 + E^(2*E)*(-5 + 2*x^3))/(E^(2*E)*x^2),x]","x^2-\frac{16 e^{-2 e}-5}{x}","x \left(x-\frac{\sqrt{e}}{x}\right)-\frac{16 e^{-2 e}-5}{x}",1,"-((-5 + 16/E^(2*E))/x) + x^2","A",1
4021,1,19,22,0.2384307,"\int \frac{\left(\frac{6+2 x}{x+x^2}\right)^{-x+x^2} \left(3+3 x-5 x^2-x^3+\left(-3+2 x+7 x^2+2 x^3\right) \log \left(\frac{6+2 x}{x+x^2}\right)\right)}{3+4 x+x^2} \, dx","Integrate[(((6 + 2*x)/(x + x^2))^(-x + x^2)*(3 + 3*x - 5*x^2 - x^3 + (-3 + 2*x + 7*x^2 + 2*x^3)*Log[(6 + 2*x)/(x + x^2)]))/(3 + 4*x + x^2),x]","\left(\frac{2 x+6}{x^2+x}\right)^{(x-1) x}","\left(\frac{2 x+6}{x (x+1)}\right)^{x^2-x}",1,"((6 + 2*x)/(x + x^2))^((-1 + x)*x)","A",1
4022,1,22,22,0.0728315,"\int \frac{3-18 x+e^{25-11 x+x^2} \left(11 x-2 x^2\right)-18 x \log (x)}{x} \, dx","Integrate[(3 - 18*x + E^(25 - 11*x + x^2)*(11*x - 2*x^2) - 18*x*Log[x])/x,x]","-e^{x^2-11 x+25}-18 x \log (x)+3 \log (x)","(3-18 x) \log (x)-e^{(x-5)^2-x}",1,"-E^(25 - 11*x + x^2) + 3*Log[x] - 18*x*Log[x]","A",1
4023,1,7,13,0.0011237,"\int 10 e^{-2 x} \, dx","Integrate[10/E^(2*x),x]","-5 e^{-2 x}","-5 e^{-2 x}-4-\log (3)",1,"-5/E^(2*x)","A",1
4024,1,3,5,0.0001417,"\int e^x \, dx","Integrate[E^x,x]","e^x","e^x+2",1,"E^x","A",1
4025,1,20,22,0.0770866,"\int \frac{\log ^2\left(e^{-10+2 x+2 \log ^2(x)}\right)+\log \left(e^{-10+2 x+2 \log ^2(x)}\right) (4 x+8 \log (x))}{\log ^4(2)} \, dx","Integrate[(Log[E^(-10 + 2*x + 2*Log[x]^2)]^2 + Log[E^(-10 + 2*x + 2*Log[x]^2)]*(4*x + 8*Log[x]))/Log[2]^4,x]","\frac{x \log ^2\left(e^{2 \left(x+\log ^2(x)-5\right)}\right)}{\log ^4(2)}","\frac{x \log ^2\left(e^{2 x+2 \log ^2(x)-10}\right)}{\log ^4(2)}",1,"(x*Log[E^(2*(-5 + x + Log[x]^2))]^2)/Log[2]^4","A",1
4026,1,6,13,0.0002219,"\int \frac{19}{32 x} \, dx","Integrate[19/(32*x),x]","\frac{19 \log (x)}{32}","\frac{x+\frac{19}{32} x \log (x)}{x}",1,"(19*Log[x])/32","A",1
4027,1,12,14,0.0046267,"\int \frac{e^{-4+x} (15-5 x)}{2 x^4} \, dx","Integrate[(E^(-4 + x)*(15 - 5*x))/(2*x^4),x]","-\frac{5 e^{x-4}}{2 x^3}","3-\frac{5 e^{x-4}}{2 x^3}",1,"(-5*E^(-4 + x))/(2*x^3)","A",1
4028,1,21,21,0.0039955,"\int \frac{31-30 x-30 x^2-30 \log (x)}{30 x^2} \, dx","Integrate[(31 - 30*x - 30*x^2 - 30*Log[x])/(30*x^2),x]","-x-\frac{1}{30 x}-\log (x)+\frac{\log (x)}{x}","-x-\frac{1}{30 x}-\log (x)+\frac{\log (x)}{x}",1,"-1/30*1/x - x - Log[x] + Log[x]/x","A",1
4029,1,13,8,0.0000792,"\int \left(10+2 e^6+2 x\right) \, dx","Integrate[10 + 2*E^6 + 2*x,x]","x^2+2 e^6 x+10 x","\left(x+e^6+5\right)^2",1,"10*x + 2*E^6*x + x^2","A",1
4030,1,19,27,0.4195694,"\int \frac{2-2 x+e^x \left(-2 x^2-x^3\right)}{-2 x^2-e^x x^3+2 x \log \left(\frac{x}{3 e^5}\right)} \, dx","Integrate[(2 - 2*x + E^x*(-2*x^2 - x^3))/(-2*x^2 - E^x*x^3 + 2*x*Log[x/(3*E^5)]),x]","\log \left(e^x x^2+2 x-2 \log (x)+10+\log (9)\right)","\log \left(x \left(e^x x-\frac{2 \left(\log \left(\frac{x}{3 e^5}\right)-x\right)}{x}\right)\right)",1,"Log[10 + 2*x + E^x*x^2 + Log[9] - 2*Log[x]]","A",1
4031,1,33,31,0.3581325,"\int \frac{-13 x-4 x^2+e^{x+x^2} \left(14+4 x-3 x^2-2 x^3\right)+\left(e^{x+x^2} (-1-2 x)+x+2 x^2\right) \log \left(-e^{x+x^2} x+x^2\right)}{3 e^{x+x^2}-3 x} \, dx","Integrate[(-13*x - 4*x^2 + E^(x + x^2)*(14 + 4*x - 3*x^2 - 2*x^3) + (E^(x + x^2)*(-1 - 2*x) + x + 2*x^2)*Log[-(E^(x + x^2)*x) + x^2])/(3*E^(x + x^2) - 3*x),x]","\frac{1}{3} \left(3 x^2-(x+1) x \log \left(x \left(x-e^{x^2+x}\right)\right)+15 x\right)","x (x+1) \left(\frac{x+4}{x}-\frac{1}{3} \log \left(x \left(x-e^{x^2+x}\right)\right)\right)",1,"(15*x + 3*x^2 - x*(1 + x)*Log[x*(-E^(x + x^2) + x)])/3","A",1
4032,1,25,24,0.0285527,"\int \frac{1600 x^4+1250 x^5+300 x^6+25 x^7+e^{\frac{6}{25 x^3}} \left(-1152-864 x-216 x^2-18 x^3\right)}{1600 x^4+1200 x^5+300 x^6+25 x^7} \, dx","Integrate[(1600*x^4 + 1250*x^5 + 300*x^6 + 25*x^7 + E^(6/(25*x^3))*(-1152 - 864*x - 216*x^2 - 18*x^3))/(1600*x^4 + 1200*x^5 + 300*x^6 + 25*x^7),x]","e^{\frac{6}{25 x^3}}+x-\frac{2}{x+4}+\frac{4}{(x+4)^2}","e^{\frac{6}{25 x^3}}+\frac{x^2}{4 (x+4)^2}+x+1",1,"E^(6/(25*x^3)) + x + 4/(4 + x)^2 - 2/(4 + x)","A",1
4033,1,33,22,0.0501523,"\int \frac{2+2 x-x^2-x^3+\left(2 x-x^2+x^3\right) \log \left(\frac{x}{2-x+x^2}\right)}{10 x-5 x^2+5 x^3} \, dx","Integrate[(2 + 2*x - x^2 - x^3 + (2*x - x^2 + x^3)*Log[x/(2 - x + x^2)])/(10*x - 5*x^2 + 5*x^3),x]","\frac{1}{5} \left(x \log \left(\frac{x}{x^2-x+2}\right)-\log \left(x^2-x+2\right)+\log (x)\right)","\frac{1}{20} (4 x+4) \log \left(\frac{x}{x^2-x+2}\right)",1,"(Log[x] + x*Log[x/(2 - x + x^2)] - Log[2 - x + x^2])/5","A",1
4034,1,16,21,0.0939571,"\int \frac{-48+e^{e^{4+e^x}} \left(-16-16 e^{4+e^x+x}\right)}{3+e^{e^{4+e^x}}} \, dx","Integrate[(-48 + E^E^(4 + E^x)*(-16 - 16*E^(4 + E^x + x)))/(3 + E^E^(4 + E^x)),x]","-16 \left(x+\log \left(e^{e^{e^x+4}}+3\right)\right)","16 \left(-x-\log \left(e^{e^{e^x+4}}+3\right)+15\right)",1,"-16*(x + Log[3 + E^E^(4 + E^x)])","A",1
4035,1,6,9,0.0005455,"\int \frac{1-x}{x} \, dx","Integrate[(1 - x)/x,x]","\log (x)-x","-x+\log (x)+1+\log (4)",1,"-x + Log[x]","A",1
4036,1,2,9,0.0001341,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log (x)+e^{429940225+e}+1",1,"Log[x]","A",1
4037,1,28,29,0.120825,"\int \frac{1}{9} \left(-9+e^{8 x} (-250-2000 x)+e^{12 x} (-96-1152 x)+e^{6 x} (-48-288 x)+e^{16 x} (-1-16 x)+e^{14 x} (16+224 x)+e^{4 x} (96+384 x)+e^{10 x} (256+2560 x)\right) \, dx","Integrate[(-9 + E^(8*x)*(-250 - 2000*x) + E^(12*x)*(-96 - 1152*x) + E^(6*x)*(-48 - 288*x) + E^(16*x)*(-1 - 16*x) + E^(14*x)*(16 + 224*x) + E^(4*x)*(96 + 384*x) + E^(10*x)*(256 + 2560*x))/9,x]","-\frac{1}{9} \left(16 e^{4 x}-8 e^{6 x}+e^{8 x}-3\right)^2 x","3-\frac{1}{9} \left(3-e^{4 x} \left(4-e^{2 x}\right)^2\right)^2 x",1,"-1/9*((-3 + 16*E^(4*x) - 8*E^(6*x) + E^(8*x))^2*x)","A",1
4038,1,24,21,0.3931398,"\int \frac{468512 \log (5 x)+e^{2-2 x} x^2 \left(702768 \log (5 x)+(702768-702768 x) \log ^2(5 x)\right)+e^{1-x} x \left(937024 \log (5 x)+(468512-468512 x) \log ^2(5 x)\right)+e^{3-3 x} x^3 \left(234256 \log (5 x)+(351384-351384 x) \log ^2(5 x)\right)+e^{4-4 x} x^4 \left(29282 \log (5 x)+(58564-58564 x) \log ^2(5 x)\right)}{x} \, dx","Integrate[(468512*Log[5*x] + E^(2 - 2*x)*x^2*(702768*Log[5*x] + (702768 - 702768*x)*Log[5*x]^2) + E^(1 - x)*x*(937024*Log[5*x] + (468512 - 468512*x)*Log[5*x]^2) + E^(3 - 3*x)*x^3*(234256*Log[5*x] + (351384 - 351384*x)*Log[5*x]^2) + E^(4 - 4*x)*x^4*(29282*Log[5*x] + (58564 - 58564*x)*Log[5*x]^2))/x,x]","14641 e^{-4 x} \left(e x+2 e^x\right)^4 \log ^2(5 x)","14641 \left(e^{1-x} x+2\right)^4 \log ^2(5 x)",1,"(14641*(2*E^x + E*x)^4*Log[5*x]^2)/E^(4*x)","A",1
4039,1,17,21,0.140001,"\int \frac{-15+5 x-4 x^4+\left(20 x+8 x^5\right) \log (x)-4 x^6 \log ^2(x)}{x^4-2 x^5 \log (x)+x^6 \log ^2(x)} \, dx","Integrate[(-15 + 5*x - 4*x^4 + (20*x + 8*x^5)*Log[x] - 4*x^6*Log[x]^2)/(x^4 - 2*x^5*Log[x] + x^6*Log[x]^2),x]","-\frac{5}{x^3 (x \log (x)-1)}-4 x","\frac{5}{x^2 \left(x-x^2 \log (x)\right)}-4 x+1",1,"-4*x - 5/(x^3*(-1 + x*Log[x]))","A",1
4040,1,17,19,0.0025114,"\int \frac{-6+5 x+2 x^2+x \log \left(x^2\right)}{x} \, dx","Integrate[(-6 + 5*x + 2*x^2 + x*Log[x^2])/x,x]","x^2+x \log \left(x^2\right)+3 x-6 \log (x)","x^2-(3-x) \log \left(x^2\right)+3 x+4",1,"3*x + x^2 - 6*Log[x] + x*Log[x^2]","A",1
4041,1,23,23,0.1283734,"\int \frac{20 x+e^{2 x} \left(50+10 x^2\right)+e^{2 x} \left(-10-2 x^2\right) \log \left(25+10 x^2+x^4\right)}{-25-5 x^2+\left(5+x^2\right) \log \left(25+10 x^2+x^4\right)} \, dx","Integrate[(20*x + E^(2*x)*(50 + 10*x^2) + E^(2*x)*(-10 - 2*x^2)*Log[25 + 10*x^2 + x^4])/(-25 - 5*x^2 + (5 + x^2)*Log[25 + 10*x^2 + x^4]),x]","5 \log \left(5-\log \left(\left(x^2+5\right)^2\right)\right)-e^{2 x}","5 \log \left(5-\log \left(\left(x^2+5\right)^2\right)\right)-e^{2 x}",1,"-E^(2*x) + 5*Log[5 - Log[(5 + x^2)^2]]","A",1
4042,1,32,31,0.2066225,"\int \frac{\exp \left(\frac{32-12 e^{\frac{1}{3} \left(-e^x+3 x\right)}-4 x-12 x^2}{4+x}\right) \left(-48-96 x-12 x^2+e^{\frac{1}{3} \left(-e^x+3 x\right)} \left(-36-12 x+e^x (16+4 x)\right)\right)}{16+8 x+x^2} \, dx","Integrate[(E^((32 - 12*E^((-E^x + 3*x)/3) - 4*x - 12*x^2)/(4 + x))*(-48 - 96*x - 12*x^2 + E^((-E^x + 3*x)/3)*(-36 - 12*x + E^x*(16 + 4*x))))/(16 + 8*x + x^2),x]","e^{-12 x-\frac{12 e^{x-\frac{e^x}{3}}}{x+4}-\frac{144}{x+4}+44}","e^{\frac{12 \left(-x^2-e^{x-\frac{e^x}{3}}+4\right)}{x+4}-4}",1,"E^(44 - 12*x - 144/(4 + x) - (12*E^(-1/3*E^x + x))/(4 + x))","A",1
4043,1,22,25,1.2875058,"\int \frac{8 x^4-4 x^5+\left(-20 x^4+8 x^5\right) \log (2 x)+\left(72-72 x+18 x^2\right) \log ^3(2 x)}{\left(36-36 x+9 x^2\right) \log ^3(2 x)} \, dx","Integrate[(8*x^4 - 4*x^5 + (-20*x^4 + 8*x^5)*Log[2*x] + (72 - 72*x + 18*x^2)*Log[2*x]^3)/((36 - 36*x + 9*x^2)*Log[2*x]^3),x]","\frac{2 x^5}{9 (x-2) \log ^2(2 x)}+2 x","-\frac{2 x^5}{9 (2-x) \log ^2(2 x)}+2 x-4",1,"2*x + (2*x^5)/(9*(-2 + x)*Log[2*x]^2)","A",1
4044,1,17,21,0.0239289,"\int \frac{-3+3 e^2-6 x-3 \log \left(9 e^6\right)}{x^2+e^4 x^2+2 x^3+x^4+e^2 \left(-2 x^2-2 x^3\right)+\left(2 x^2-2 e^2 x^2+2 x^3\right) \log \left(9 e^6\right)+x^2 \log ^2\left(9 e^6\right)} \, dx","Integrate[(-3 + 3*E^2 - 6*x - 3*Log[9*E^6])/(x^2 + E^4*x^2 + 2*x^3 + x^4 + E^2*(-2*x^2 - 2*x^3) + (2*x^2 - 2*E^2*x^2 + 2*x^3)*Log[9*E^6] + x^2*Log[9*E^6]^2),x]","\frac{3}{x \left(x-e^2+7+\log (9)\right)}","\frac{3}{x \left(x-e^2+1+\log \left(9 e^6\right)\right)}",1,"3/(x*(7 - E^2 + x + Log[9]))","A",1
4045,1,7,20,0.0011919,"\int \frac{-1+\log (x)}{x^2} \, dx","Integrate[(-1 + Log[x])/x^2,x]","-\frac{\log (x)}{x}","\frac{\frac{1}{3} x (1+2 \log (3))-\log (x)}{x}",1,"-(Log[x]/x)","A",1
4046,1,23,23,0.6428978,"\int \frac{-8+22 x+13 x^2-13 x \log \left(\frac{3 e^x x^2}{2}\right)+2 x \log ^2\left(\frac{3 e^x x^2}{2}\right)}{x \log ^2\left(\frac{3 e^x x^2}{2}\right)} \, dx","Integrate[(-8 + 22*x + 13*x^2 - 13*x*Log[(3*E^x*x^2)/2] + 2*x*Log[(3*E^x*x^2)/2]^2)/(x*Log[(3*E^x*x^2)/2]^2),x]","\frac{4-13 x}{\log \left(\frac{3 e^x x^2}{2}\right)}+2 x","\frac{4-13 x}{\log \left(\frac{3 e^x x^2}{2}\right)}+2 x",1,"2*x + (4 - 13*x)/Log[(3*E^x*x^2)/2]","A",1
4047,1,14,13,0.0032157,"\int \left(8+6 e^{6 x}-4 x\right) \, dx","Integrate[8 + 6*E^(6*x) - 4*x,x]","-2 x^2+8 x+e^{6 x}","e^{6 x}-2 (x-2)^2",1,"E^(6*x) + 8*x - 2*x^2","A",1
4048,1,23,24,0.0861524,"\int \frac{2 \log (2)-4 e^{3+x} \log (2)-2 e^{3+x} x \log (2) \log \left(x^2\right)+\left(\log (2)-2 e^{3+x} \log (2)\right) \log \left(x^2\right) \log \left(\left(1-2 e^{3+x}\right) \log \left(x^2\right)\right)}{\left(-x^2+2 e^{3+x} x^2\right) \log \left(x^2\right) \log ^2\left(\left(1-2 e^{3+x}\right) \log \left(x^2\right)\right)} \, dx","Integrate[(2*Log[2] - 4*E^(3 + x)*Log[2] - 2*E^(3 + x)*x*Log[2]*Log[x^2] + (Log[2] - 2*E^(3 + x)*Log[2])*Log[x^2]*Log[(1 - 2*E^(3 + x))*Log[x^2]])/((-x^2 + 2*E^(3 + x)*x^2)*Log[x^2]*Log[(1 - 2*E^(3 + x))*Log[x^2]]^2),x]","\frac{\log (2)}{x \log \left(\left(1-2 e^{x+3}\right) \log \left(x^2\right)\right)}","\frac{\log (2)}{x \log \left(-\left(\left(2 e^{x+3}-1\right) \log \left(x^2\right)\right)\right)}",1,"Log[2]/(x*Log[(1 - 2*E^(3 + x))*Log[x^2]])","A",1
4049,1,20,22,0.0102327,"\int \frac{8+16 x+e^3 \left(6 x-3 x^2-6 x^3\right)}{-8+3 e^3 x^2} \, dx","Integrate[(8 + 16*x + E^3*(6*x - 3*x^2 - 6*x^3))/(-8 + 3*E^3*x^2),x]","-x^2+\log \left(8-3 e^3 x^2\right)-x","-x^2+\log \left(\frac{8}{3}-e^3 x^2\right)-x",1,"-x - x^2 + Log[8 - 3*E^3*x^2]","A",1
4050,1,31,28,0.0938538,"\int \frac{-9 x^4-6 x^5+6 x^6+e^{16 e^x} \left(-4+4 x-x^2\right)+e^{8 e^x} \left(12 x^2+6 x^3-12 x^4+3 x^5+e^x \left(-32 x^4+32 x^5-8 x^6\right)\right)}{9 x^5+e^{16 e^x} \left(4 x-4 x^2+x^3\right)+e^{8 e^x} \left(-12 x^3+6 x^4\right)} \, dx","Integrate[(-9*x^4 - 6*x^5 + 6*x^6 + E^(16*E^x)*(-4 + 4*x - x^2) + E^(8*E^x)*(12*x^2 + 6*x^3 - 12*x^4 + 3*x^5 + E^x*(-32*x^4 + 32*x^5 - 8*x^6)))/(9*x^5 + E^(16*E^x)*(4*x - 4*x^2 + x^3) + E^(8*E^x)*(-12*x^3 + 6*x^4)),x]","\frac{(x-2) x^3}{3 x^2+e^{8 e^x} (x-2)}-\log (x)","\frac{x}{\frac{e^{8 e^x}}{x^2}+\frac{3}{x-2}}-\log (x)",1,"((-2 + x)*x^3)/(E^(8*E^x)*(-2 + x) + 3*x^2) - Log[x]","A",1
4051,1,48,21,0.7716141,"\int \frac{e^{\frac{4 x^2+x^2 \log (169)}{20 \log (50-x)}} \left(-4 x^2-x^2 \log (169)+\left(-400 x+8 x^2+\left(-100 x+2 x^2\right) \log (169)\right) \log (50-x)\right)}{(-1000+20 x) \log ^2(50-x)} \, dx","Integrate[(E^((4*x^2 + x^2*Log[169])/(20*Log[50 - x]))*(-4*x^2 - x^2*Log[169] + (-400*x + 8*x^2 + (-100*x + 2*x^2)*Log[169])*Log[50 - x]))/((-1000 + 20*x)*Log[50 - x]^2),x]","\frac{(4+\log (169)) 13^{\frac{x^2}{10 \log (50-x)}} e^{\frac{x^2}{5 \log (50-x)}}}{2 (2+\log (13))}","e^{\frac{x^2 (4+\log (169))}{20 \log (50-x)}}",1,"(13^(x^2/(10*Log[50 - x]))*E^(x^2/(5*Log[50 - x]))*(4 + Log[169]))/(2*(2 + Log[13]))","B",1
4052,1,17,17,0.2089108,"\int \frac{e^{\frac{x}{e^{12} (2+2 x)^2}} (1-x)+e^{12} (1+x) (2+2 x)^2}{e^{12} (1+x) (2+2 x)^2} \, dx","Integrate[(E^(x/(E^12*(2 + 2*x)^2))*(1 - x) + E^12*(1 + x)*(2 + 2*x)^2)/(E^12*(1 + x)*(2 + 2*x)^2),x]","x+e^{\frac{x}{4 e^{12} (x+1)^2}}","x+e^{\frac{x}{e^{12} (2 x+2)^2}}+4",1,"E^(x/(4*E^12*(1 + x)^2)) + x","A",1
4053,1,19,17,0.0339132,"\int \left(e^{4 x} \left(-36 x^3-36 x^4\right)+e^{2 x} \left(72 x+72 x^2+e \left(12 x+12 x^2\right)\right)\right) \, dx","Integrate[E^(4*x)*(-36*x^3 - 36*x^4) + E^(2*x)*(72*x + 72*x^2 + E*(12*x + 12*x^2)),x]","-\left(3 e^{2 x} x^2-e-6\right)^2","-\left(-3 e^{2 x} x^2+e+6\right)^2",1,"-(-6 - E + 3*E^(2*x)*x^2)^2","A",1
4054,1,38,28,0.1384459,"\int \frac{e^{2 x} \left(8-20 x+24 x^2-14 x^3+2 x^4\right)+e^{3+x} \left(-5184 x^3+3888 x^4-972 x^5+81 x^6\right)}{-5184 x^3+3888 x^4-972 x^5+81 x^6} \, dx","Integrate[(E^(2*x)*(8 - 20*x + 24*x^2 - 14*x^3 + 2*x^4) + E^(3 + x)*(-5184*x^3 + 3888*x^4 - 972*x^5 + 81*x^6))/(-5184*x^3 + 3888*x^4 - 972*x^5 + 81*x^6),x]","\frac{e^x \left(81 e^3 (x-4)^2 x^2+e^x (x-1)^2\right)}{81 (x-4)^2 x^2}","\frac{e^{2 x} (x-1)^2}{81 (x-4)^2 x^2}+e^{x+3}",1,"(E^x*(E^x*(-1 + x)^2 + 81*E^3*(-4 + x)^2*x^2))/(81*(-4 + x)^2*x^2)","A",1
4055,1,26,24,0.9139268,"\int \frac{1}{5} \exp \left(\frac{1}{5} \left(-60+15 e x+15 x^2-(3 e+3 x) \log (x)\right)\right) \left(20 x-6 x^2+60 x^3+e \left(-6 x+30 x^2\right)-6 x^2 \log (x)\right) \, dx","Integrate[(E^((-60 + 15*E*x + 15*x^2 - (3*E + 3*x)*Log[x])/5)*(20*x - 6*x^2 + 60*x^3 + E*(-6*x + 30*x^2) - 6*x^2*Log[x]))/5,x]","2 e^{3 x^2+3 e x-12} x^{2-\frac{3 (x+e)}{5}}","2 x^2 e^{-3 \left(4-(x+e) \left(x-\frac{\log (x)}{5}\right)\right)}",1,"2*E^(-12 + 3*E*x + 3*x^2)*x^(2 - (3*(E + x))/5)","A",1
4056,1,58,38,0.9091774,"\int \frac{\exp \left(\frac{1}{15} \left(12+5 \exp \left(\frac{2-16 x+4 x^2+4 x \log \left(25+10 x+x^2\right)}{-4 x+x^2+x \log \left(25+10 x+x^2\right)}\right) x\right)+\frac{2-16 x+4 x^2+4 x \log \left(25+10 x+x^2\right)}{-4 x+x^2+x \log \left(25+10 x+x^2\right)}\right) \left(40+64 x-28 x^2-3 x^3+x^4+\left(-10-42 x+2 x^2+2 x^3\right) \log \left(25+10 x+x^2\right)+\left(5 x+x^2\right) \log ^2\left(25+10 x+x^2\right)\right)}{240 x-72 x^2-9 x^3+3 x^4+\left(-120 x+6 x^2+6 x^3\right) \log \left(25+10 x+x^2\right)+\left(15 x+3 x^2\right) \log ^2\left(25+10 x+x^2\right)} \, dx","Integrate[(E^((12 + 5*E^((2 - 16*x + 4*x^2 + 4*x*Log[25 + 10*x + x^2])/(-4*x + x^2 + x*Log[25 + 10*x + x^2]))*x)/15 + (2 - 16*x + 4*x^2 + 4*x*Log[25 + 10*x + x^2])/(-4*x + x^2 + x*Log[25 + 10*x + x^2]))*(40 + 64*x - 28*x^2 - 3*x^3 + x^4 + (-10 - 42*x + 2*x^2 + 2*x^3)*Log[25 + 10*x + x^2] + (5*x + x^2)*Log[25 + 10*x + x^2]^2))/(240*x - 72*x^2 - 9*x^3 + 3*x^4 + (-120*x + 6*x^2 + 6*x^3)*Log[25 + 10*x + x^2] + (15*x + 3*x^2)*Log[25 + 10*x + x^2]^2),x]","\exp \left(\frac{1}{3} x \left((x+5)^2\right)^{\frac{4}{x+\log \left((x+5)^2\right)-4}} \exp \left(\frac{2 \left(2 x^2-8 x+1\right)}{x \left(x+\log \left((x+5)^2\right)-4\right)}\right)+\frac{4}{5}\right)","\exp \left(\frac{1}{3} x e^{4-\frac{2}{x \left(-x-\log \left((x+5)^2\right)+5\right)-x}}+\frac{4}{5}\right)",1,"E^(4/5 + (E^((2*(1 - 8*x + 2*x^2))/(x*(-4 + x + Log[(5 + x)^2])))*x*((5 + x)^2)^(4/(-4 + x + Log[(5 + x)^2])))/3)","A",1
4057,1,33,26,0.155417,"\int \frac{-8 x^4-16 x^5-8 x^6+\left(16 x^4+40 x^5+24 x^6+e^{2+x} \left(-4 x^3-4 x^4\right)+e^3 \left(16 x^3+40 x^4+24 x^5\right)\right) \log \left(e^3+x\right)+e^x \left(e^5 \left(12 x^2+20 x^3+4 x^4\right)+e^2 \left(12 x^3+20 x^4+4 x^5\right)\right) \log ^2\left(e^3+x\right)+e^{2 x} \left(e^7 \left(2 x+2 x^2\right)+e^4 \left(2 x^2+2 x^3\right)\right) \log ^3\left(e^3+x\right)}{\left(e^3+x\right) \log ^3\left(e^3+x\right)} \, dx","Integrate[(-8*x^4 - 16*x^5 - 8*x^6 + (16*x^4 + 40*x^5 + 24*x^6 + E^(2 + x)*(-4*x^3 - 4*x^4) + E^3*(16*x^3 + 40*x^4 + 24*x^5))*Log[E^3 + x] + E^x*(E^5*(12*x^2 + 20*x^3 + 4*x^4) + E^2*(12*x^3 + 20*x^4 + 4*x^5))*Log[E^3 + x]^2 + E^(2*x)*(E^7*(2*x + 2*x^2) + E^4*(2*x^2 + 2*x^3))*Log[E^3 + x]^3)/((E^3 + x)*Log[E^3 + x]^3),x]","\frac{x^2 \left(2 x (x+1)+e^{x+2} \log \left(x+e^3\right)\right)^2}{\log ^2\left(x+e^3\right)}","\left(\frac{2 \left(x^2+x\right) x}{\log \left(x+e^3\right)}+e^{x+2} x\right)^2",1,"(x^2*(2*x*(1 + x) + E^(2 + x)*Log[E^3 + x])^2)/Log[E^3 + x]^2","A",1
4058,1,28,26,0.2213368,"\int \frac{-10-2 x+e^{-2-6 x} (5+x)^2 \left(10+30 x+6 x^2\right)}{-5 x-x^2+e^{-2-6 x} (5+x)^2 \left(5 x+x^2\right)} \, dx","Integrate[(-10 - 2*x + E^(-2 - 6*x)*(5 + x)^2*(10 + 30*x + 6*x^2))/(-5*x - x^2 + E^(-2 - 6*x)*(5 + x)^2*(5*x + x^2)),x]","-\log \left(x^2+10 x-e^{6 x+2}+25\right)+6 x+2 \log (x)","\log \left(\frac{x^2}{e^{6 (1-x)-8} (x+5)^2-1}\right)",1,"6*x + 2*Log[x] - Log[25 - E^(2 + 6*x) + 10*x + x^2]","A",1
4059,1,23,18,0.1569864,"\int \frac{\exp \left(9 x+3 x^2+\left(3 x+x^2\right) \log \left(-1+e^{e^x}+x\right)\right) \left(-9+6 x+7 x^2+e^{e^x} \left(9+6 x+e^x \left(3 x+x^2\right)\right)+\left(-3+x+2 x^2+e^{e^x} (3+2 x)\right) \log \left(-1+e^{e^x}+x\right)\right)}{-1+e^{e^x}+x} \, dx","Integrate[(E^(9*x + 3*x^2 + (3*x + x^2)*Log[-1 + E^E^x + x])*(-9 + 6*x + 7*x^2 + E^E^x*(9 + 6*x + E^x*(3*x + x^2)) + (-3 + x + 2*x^2 + E^E^x*(3 + 2*x))*Log[-1 + E^E^x + x]))/(-1 + E^E^x + x),x]","e^{3 x (x+3)} \left(x+e^{e^x}-1\right)^{x (x+3)}","e^{x (x+3) \left(\log \left(x+e^{e^x}-1\right)+3\right)}",1,"E^(3*x*(3 + x))*(-1 + E^E^x + x)^(x*(3 + x))","A",1
4060,1,16,21,0.0066945,"\int \frac{e^3 \left(4+x^2\right)}{16+16 x-4 x^2-4 x^3+x^4} \, dx","Integrate[(E^3*(4 + x^2))/(16 + 16*x - 4*x^2 - 4*x^3 + x^4),x]","-\frac{e^3 x}{x^2-2 x-4}","-\frac{e^3}{x-\frac{x+4}{x}-1}+e+5",1,"-((E^3*x)/(-4 - 2*x + x^2))","A",1
4061,1,31,20,0.1154284,"\int \frac{288+504 x+16 x^2}{-144 x-504 x^2-437 x^3+16 x^3 \log (x)} \, dx","Integrate[(288 + 504*x + 16*x^2)/(-144*x - 504*x^2 - 437*x^3 + 16*x^3*Log[x]),x]","8 \left(\frac{1}{8} \log \left(437 x^2-16 x^2 \log (x)+504 x+144\right)-\frac{\log (x)}{4}\right)","\log \left(\left(-\frac{3}{x}-\frac{21}{4}\right)^2-\log (x)-\frac{1}{4}\right)",1,"8*(-1/4*Log[x] + Log[144 + 504*x + 437*x^2 - 16*x^2*Log[x]]/8)","A",1
4062,1,22,22,0.1042149,"\int \frac{\exp \left(9 e^{\frac{5 x}{\log \left(e^{e^x}-\log (x)\right)}}+\frac{5 x}{\log \left(e^{e^x}-\log (x)\right)}\right) \left(45-45 e^{e^x+x} x+\left(45 e^{e^x}-45 \log (x)\right) \log \left(e^{e^x}-\log (x)\right)\right)}{\left(e^{e^x}-\log (x)\right) \log ^2\left(e^{e^x}-\log (x)\right)} \, dx","Integrate[(E^(9*E^((5*x)/Log[E^E^x - Log[x]]) + (5*x)/Log[E^E^x - Log[x]])*(45 - 45*E^(E^x + x)*x + (45*E^E^x - 45*Log[x])*Log[E^E^x - Log[x]]))/((E^E^x - Log[x])*Log[E^E^x - Log[x]]^2),x]","e^{9 e^{\frac{5 x}{\log \left(e^{e^x}-\log (x)\right)}}}","e^{9 e^{\frac{5 x}{\log \left(e^{e^x}-\log (x)\right)}}}",1,"E^(9*E^((5*x)/Log[E^E^x - Log[x]]))","A",1
4063,1,83,29,4.6107097,"\int \frac{e^{-x} \left(e^x \left(-4+8 x^3\right)+e^{2 e^{-x} \left(3 x+6 x \log (x)+3 x \log ^2(x)\right)} \left(72 x^2-24 x^3+\left(96 x^2-48 x^3\right) \log (x)+\left(24 x^2-24 x^3\right) \log ^2(x)\right)+e^{e^{-x} \left(3 x+6 x \log (x)+3 x \log ^2(x)\right)} \left(8 e^x x^2+72 x^3-24 x^4+\left(96 x^3-48 x^4\right) \log (x)+\left(24 x^3-24 x^4\right) \log ^2(x)\right)\right)}{x^2} \, dx","Integrate[(E^x*(-4 + 8*x^3) + E^((2*(3*x + 6*x*Log[x] + 3*x*Log[x]^2))/E^x)*(72*x^2 - 24*x^3 + (96*x^2 - 48*x^3)*Log[x] + (24*x^2 - 24*x^3)*Log[x]^2) + E^((3*x + 6*x*Log[x] + 3*x*Log[x]^2)/E^x)*(8*E^x*x^2 + 72*x^3 - 24*x^4 + (96*x^3 - 48*x^4)*Log[x] + (24*x^3 - 24*x^4)*Log[x]^2))/(E^x*x^2),x]","4 x^{12 e^{-x} x} e^{6 e^{-x} x+6 e^{-x} x \log ^2(x)}+8 x^{6 e^{-x} x+1} e^{3 e^{-x} x+3 e^{-x} x \log ^2(x)}+4 x^2+\frac{4}{x}","\frac{4}{x}+4 \left(x+e^{3 e^{-x} x (\log (x)+1)^2}\right)^2-1",1,"4/x + 4*x^2 + 4*E^((6*x)/E^x + (6*x*Log[x]^2)/E^x)*x^((12*x)/E^x) + 8*E^((3*x)/E^x + (3*x*Log[x]^2)/E^x)*x^(1 + (6*x)/E^x)","B",1
4064,1,37,32,0.0905018,"\int \frac{-21-3 x+7 x^2-x^3+e^x (5+x)+\left(5+2 x-x^2\right) \log (x)+\left(5-e^x+4 x-x^2+(-1-x) \log (x)\right) \log \left(x^2\right)}{4 x-5 x^2+x^3+e^x \left(-x+x^2\right)+\left(-x+x^2\right) \log (x)+\left(-4 x+e^x x+x^2+x \log (x)\right) \log \left(x^2\right)} \, dx","Integrate[(-21 - 3*x + 7*x^2 - x^3 + E^x*(5 + x) + (5 + 2*x - x^2)*Log[x] + (5 - E^x + 4*x - x^2 + (-1 - x)*Log[x])*Log[x^2])/(4*x - 5*x^2 + x^3 + E^x*(-x + x^2) + (-x + x^2)*Log[x] + (-4*x + E^x*x + x^2 + x*Log[x])*Log[x^2]),x]","2 \log \left(-\log \left(x^2\right)-x+1\right)-x-\log (x)+\log \left(-x-e^x-\log (x)+4\right)","\log \left(\frac{\left(-x-e^x-\log (x)+4\right) \left(\log \left(x^2\right)+x-1\right)^2}{x}\right)-x",1,"-x - Log[x] + Log[4 - E^x - x - Log[x]] + 2*Log[1 - x - Log[x^2]]","A",1
4065,1,10,17,0.0016469,"\int \frac{1}{x+\log \left(\frac{\log (5)}{4}\right)} \, dx","Integrate[(x + Log[Log[5]/4])^(-1),x]","\log \left(x+\log \left(\frac{\log (5)}{4}\right)\right)","\log \left(\frac{2}{5} \left(x+\log \left(\frac{\log (5)}{4}\right)\right)\right)+\log (11)",1,"Log[x + Log[Log[5]/4]]","A",1
4066,1,16,13,0.0025717,"\int \frac{1}{5} (30+e (19+20 x)) \, dx","Integrate[(30 + E*(19 + 20*x))/5,x]","2 e x^2+\frac{19 e x}{5}+6 x","x \left(e \left(2 x+\frac{19}{5}\right)+6\right)",1,"6*x + (19*E*x)/5 + 2*E*x^2","A",1
4067,1,31,31,0.0369724,"\int \frac{1}{9} e^{-24-x} \left(27 e^{24+4 x}+e^{24} (-9+9 x)+e^x \left(32 x^7-256 e^3 x^7+896 e^6 x^7-1792 e^9 x^7+2240 e^{12} x^7-1792 e^{15} x^7+896 e^{18} x^7-256 e^{21} x^7+32 e^{24} x^7\right)\right) \, dx","Integrate[(E^(-24 - x)*(27*E^(24 + 4*x) + E^24*(-9 + 9*x) + E^x*(32*x^7 - 256*E^3*x^7 + 896*E^6*x^7 - 1792*E^9*x^7 + 2240*E^12*x^7 - 1792*E^15*x^7 + 896*E^18*x^7 - 256*E^21*x^7 + 32*E^24*x^7)))/9,x]","\frac{4 \left(e^3-1\right)^8 x^8}{9 e^{24}}-e^{-x} x+e^{3 x}","\frac{4}{9} \left(x-\frac{x}{e^3}\right)^8-e^{-x} \left(x-e^{4 x}\right)",1,"E^(3*x) - x/E^x + (4*(-1 + E^3)^8*x^8)/(9*E^24)","A",1
4068,1,21,25,0.0283506,"\int \left(8 x-139 x^2+e^{e^x} \left(-2 x-e^x x^2\right)+51 x^2 \log (x)\right) \, dx","Integrate[8*x - 139*x^2 + E^E^x*(-2*x - E^x*x^2) + 51*x^2*Log[x],x]","x^2 \left(-52 x-e^{e^x}+17 x \log (x)+4\right)","x^2 \left(-x-e^{e^x}-17 x (3-\log (x))+4\right)",1,"x^2*(4 - E^E^x - 52*x + 17*x*Log[x])","A",1
4069,1,28,20,0.102895,"\int \frac{-104+9 x+1803 x^2+\left(-4+147 x^2\right) \log (x)+3 x^2 \log ^2(x)}{1875 x^2+150 x^2 \log (x)+3 x^2 \log ^2(x)} \, dx","Integrate[(-104 + 9*x + 1803*x^2 + (-4 + 147*x^2)*Log[x] + 3*x^2*Log[x]^2)/(1875*x^2 + 150*x^2*Log[x] + 3*x^2*Log[x]^2),x]","\frac{1}{3} \left(\frac{-3 x^2-9 x+4}{x (\log (x)+25)}+3 x\right)","x-\frac{x-\frac{4}{3 x}+3}{\log (x)+25}",1,"(3*x + (4 - 9*x - 3*x^2)/(x*(25 + Log[x])))/3","A",1
4070,1,24,24,0.0763768,"\int \frac{8 x+4 e^{2 x} x+e^x \left(-4-4 x-4 x^2\right)}{4 e^{3 x} x-4 e^{2 x} x^2+\left(-4 e^{2 x} x+4 e^x x^2\right) \log \left(x^2\right)+\left(e^x x-x^2\right) \log ^2\left(x^2\right)+\left(-8 e^{2 x} x+8 e^x x^2+\left(4 e^x x-4 x^2\right) \log \left(x^2\right)\right) \log \left(-e^x+x\right)+\left(4 e^x x-4 x^2\right) \log ^2\left(-e^x+x\right)} \, dx","Integrate[(8*x + 4*E^(2*x)*x + E^x*(-4 - 4*x - 4*x^2))/(4*E^(3*x)*x - 4*E^(2*x)*x^2 + (-4*E^(2*x)*x + 4*E^x*x^2)*Log[x^2] + (E^x*x - x^2)*Log[x^2]^2 + (-8*E^(2*x)*x + 8*E^x*x^2 + (4*E^x*x - 4*x^2)*Log[x^2])*Log[-E^x + x] + (4*E^x*x - 4*x^2)*Log[-E^x + x]^2),x]","\frac{2}{\log \left(x^2\right)-2 e^x+2 \log \left(x-e^x\right)}","\frac{1}{\frac{\log \left(x^2\right)}{2}-e^x+\log \left(x-e^x\right)}",1,"2/(-2*E^x + Log[x^2] + 2*Log[-E^x + x])","A",1
4071,1,10,15,0.0047482,"\int \frac{-1+3 x+2 x^2}{-x+2 x^2} \, dx","Integrate[(-1 + 3*x + 2*x^2)/(-x + 2*x^2),x]","x+\log (1-2 x)+\log (x)","x+\log \left(\frac{6 x (2 x-1)}{e^5}\right)-5",1,"x + Log[1 - 2*x] + Log[x]","A",1
4072,1,44,19,0.116525,"\int \frac{8 x+\left(12 x+16 x^2\right) \log (2)+\left(12+8 x+\left(12 x+8 x^2\right) \log (2)\right) \log \left(\frac{9+6 x+\left(9 x+6 x^2\right) \log (2)}{x}\right)}{3+2 x+\left(3 x+2 x^2\right) \log (2)} \, dx","Integrate[(8*x + (12*x + 16*x^2)*Log[2] + (12 + 8*x + (12*x + 8*x^2)*Log[2])*Log[(9 + 6*x + (9*x + 6*x^2)*Log[2])/x])/(3 + 2*x + (3*x + 2*x^2)*Log[2]),x]","\frac{4 x \left(\log (2) (\log (8)-2) \log \left(\frac{9}{x}+x \log (64)+6+\log (512)\right)+\log (2) \log (8)-\log (4)\right)}{\log (2) (\log (8)-2)}","4 x \left(\log \left(3 (2 x+3) \left(\frac{1}{x}+\log (2)\right)\right)+1\right)",1,"(4*x*(-Log[4] + Log[2]*Log[8] + Log[2]*(-2 + Log[8])*Log[6 + 9/x + x*Log[64] + Log[512]]))/(Log[2]*(-2 + Log[8]))","B",1
4073,1,33,35,0.5877416,"\int \frac{e^{3/x} (240-95 x)-2240 x^2+310 x^3-10 x^4+e^5 \left(1280 x-160 x^2+5 x^3\right)}{3 e^{6/x} x^3+588 x^5-84 x^6+3 x^7+e^{10} \left(768 x^3-96 x^4+3 x^5\right)+e^5 \left(-1344 x^4+180 x^5-6 x^6\right)+e^{3/x} \left(84 x^4-6 x^5+e^5 \left(-96 x^3+6 x^4\right)\right)} \, dx","Integrate[(E^(3/x)*(240 - 95*x) - 2240*x^2 + 310*x^3 - 10*x^4 + E^5*(1280*x - 160*x^2 + 5*x^3))/(3*E^(6/x)*x^3 + 588*x^5 - 84*x^6 + 3*x^7 + E^10*(768*x^3 - 96*x^4 + 3*x^5) + E^5*(-1344*x^4 + 180*x^5 - 6*x^6) + E^(3/x)*(84*x^4 - 6*x^5 + E^5*(-96*x^3 + 6*x^4))),x]","-\frac{5 (x-16)}{3 x \left(e^5 (x-16)+e^{3/x}-(x-14) x\right)}","\frac{5}{3 x \left(\frac{e^{3/x}-2 x}{16-x}+x-e^5\right)}",1,"(-5*(-16 + x))/(3*x*(E^(3/x) + E^5*(-16 + x) - (-14 + x)*x))","A",1
4074,1,7,15,0.0351072,"\int x^{-3+x^2} \left(-2+x^2+2 x^2 \log (x)\right) \, dx","Integrate[x^(-3 + x^2)*(-2 + x^2 + 2*x^2*Log[x]),x]","x^{x^2-2}","\frac{225 x^2+x^{x^2}}{x^2}",1,"x^(-2 + x^2)","A",1
4075,1,295,27,1.4376484,"\int \frac{2 e^6 x+2 e^3 x^2+\left(-2 e^3 x^2-2 x^3\right) \log \left(-\frac{15 x}{16}\right)+\left(4 e^3 x+\left(-2 e^3 x-6 x^2\right) \log \left(-\frac{15 x}{16}\right)\right) \log (x)+\left(2 e^3-6 x \log \left(-\frac{15 x}{16}\right)\right) \log ^2(x)-2 \log \left(-\frac{15 x}{16}\right) \log ^3(x)+\left(-4 e^3 x+\left(2 e^3 x+6 x^2\right) \log \left(-\frac{15 x}{16}\right)+\left(-4 e^3+12 x \log \left(-\frac{15 x}{16}\right)\right) \log (x)+6 \log \left(-\frac{15 x}{16}\right) \log ^2(x)\right) \log (2 x)+\left(2 e^3-6 x \log \left(-\frac{15 x}{16}\right)-6 \log \left(-\frac{15 x}{16}\right) \log (x)\right) \log ^2(2 x)+2 \log \left(-\frac{15 x}{16}\right) \log ^3(2 x)}{-x^4-3 x^3 \log (x)-3 x^2 \log ^2(x)-x \log ^3(x)+\left(3 x^3+6 x^2 \log (x)+3 x \log ^2(x)\right) \log (2 x)+\left(-3 x^2-3 x \log (x)\right) \log ^2(2 x)+x \log ^3(2 x)} \, dx","Integrate[(2*E^6*x + 2*E^3*x^2 + (-2*E^3*x^2 - 2*x^3)*Log[(-15*x)/16] + (4*E^3*x + (-2*E^3*x - 6*x^2)*Log[(-15*x)/16])*Log[x] + (2*E^3 - 6*x*Log[(-15*x)/16])*Log[x]^2 - 2*Log[(-15*x)/16]*Log[x]^3 + (-4*E^3*x + (2*E^3*x + 6*x^2)*Log[(-15*x)/16] + (-4*E^3 + 12*x*Log[(-15*x)/16])*Log[x] + 6*Log[(-15*x)/16]*Log[x]^2)*Log[2*x] + (2*E^3 - 6*x*Log[(-15*x)/16] - 6*Log[(-15*x)/16]*Log[x])*Log[2*x]^2 + 2*Log[(-15*x)/16]*Log[2*x]^3)/(-x^4 - 3*x^3*Log[x] - 3*x^2*Log[x]^2 - x*Log[x]^3 + (3*x^3 + 6*x^2*Log[x] + 3*x*Log[x]^2)*Log[2*x] + (-3*x^2 - 3*x*Log[x])*Log[2*x]^2 + x*Log[2*x]^3),x]","-\frac{\frac{2 \left(\left(\log (2) \log (16)-\log ^2(4)\right) \log (x)+e^3 \log ^2(2)\right) (\log (x)-\log (2 x)) \log (-x)}{x+\log (x)-\log (2 x)}+\log ^3(2) \log ^2(-x)-2 \log (x) \left(\left(\log (2) \log (16)-\log ^2(4)\right) \log (x)+\log \left(\frac{16}{15}\right) \log ^3(2)\right)+\frac{2 (\log (x)-\log (2 x)) \left(2 \log \left(\frac{16}{15}\right) \log ^3(x)-2 \log \left(\frac{16}{15}\right) \log ^3(2 x)-\left(6 \log \left(\frac{16}{15}\right) \log (2 x)-\log \left(\frac{16}{15}\right) \log (8)+e^3 \left(1+\log \left(\frac{16}{15}\right)\right)\right) \log ^2(x)+\left(\log \left(\frac{16}{15}\right) \log (8)-e^3 \left(1+\log \left(\frac{16}{15}\right)\right)\right) \log ^2(2 x)+2 \log (2 x) \left(3 \log \left(\frac{16}{15}\right) \log (2 x)-\log \left(\frac{16}{15}\right) \log (8)+e^3 \left(1+\log \left(\frac{16}{15}\right)\right)\right) \log (x)+\log ^2(2) \left(e^3-\log \left(\frac{16}{15}\right) \log (2)\right)\right)}{x+\log (x)-\log (2 x)}+\frac{e^6 \log (2) (\log (x)-\log (2 x))^2}{(x+\log (x)-\log (2 x))^2}}{(\log (x)-\log (2 x))^3}","\left(\frac{e^3}{x+\log (x)-\log (2 x)}-\log \left(-\frac{15 x}{16}\right)\right)^2",1,"-((Log[2]^3*Log[-x]^2 - 2*Log[x]*(Log[16/15]*Log[2]^3 + (-Log[4]^2 + Log[2]*Log[16])*Log[x]) + (E^6*Log[2]*(Log[x] - Log[2*x])^2)/(x + Log[x] - Log[2*x])^2 + (2*Log[-x]*(E^3*Log[2]^2 + (-Log[4]^2 + Log[2]*Log[16])*Log[x])*(Log[x] - Log[2*x]))/(x + Log[x] - Log[2*x]) + (2*(Log[x] - Log[2*x])*(Log[2]^2*(E^3 - Log[16/15]*Log[2]) + 2*Log[16/15]*Log[x]^3 + (-(E^3*(1 + Log[16/15])) + Log[16/15]*Log[8])*Log[2*x]^2 - 2*Log[16/15]*Log[2*x]^3 + 2*Log[x]*Log[2*x]*(E^3*(1 + Log[16/15]) - Log[16/15]*Log[8] + 3*Log[16/15]*Log[2*x]) - Log[x]^2*(E^3*(1 + Log[16/15]) - Log[16/15]*Log[8] + 6*Log[16/15]*Log[2*x])))/(x + Log[x] - Log[2*x]))/(Log[x] - Log[2*x])^3)","B",0
4076,1,51,26,0.2437784,"\int \frac{\left(-2 x-x^2+2 x^3+e^x \left(-1-x+x^2\right)\right) \log (x)+\left(-e^x x-x^2\right) \log (x) \log \left(e^x x+x^2\right)+\left(-2 e^x x-2 x^2+\left(2 e^x+2 x\right) \log \left(e^x x+x^2\right)\right) \log (\log (x))+\left(e^x+2 x-x^2\right) \log (x) \log ^2(\log (x))}{\left(2 e^x x+2 x^2\right) \log (x)} \, dx","Integrate[((-2*x - x^2 + 2*x^3 + E^x*(-1 - x + x^2))*Log[x] + (-(E^x*x) - x^2)*Log[x]*Log[E^x*x + x^2] + (-2*E^x*x - 2*x^2 + (2*E^x + 2*x)*Log[E^x*x + x^2])*Log[Log[x]] + (E^x + 2*x - x^2)*Log[x]*Log[Log[x]]^2)/((2*E^x*x + 2*x^2)*Log[x]),x]","\frac{1}{2} \left(x^2+x-\left(x-\log \left(x \left(x+e^x\right)\right)\right) \log ^2(\log (x))-x \log \left(x \left(x+e^x\right)\right)-\log (x)-\log \left(x+e^x\right)\right)","\frac{1}{2} \left(\log \left(x \left(x+e^x\right)\right)-x\right) \left(-x+\log ^2(\log (x))-1\right)",1,"(x + x^2 - Log[x] - Log[E^x + x] - x*Log[x*(E^x + x)] - (x - Log[x*(E^x + x)])*Log[Log[x]]^2)/2","A",1
4077,1,27,33,0.2816718,"\int \frac{1}{5} \left(9+6 x-3 x^2+e^x (-15+5 x)+\left(9+15 x-11 x^2+e^x \left(-15-5 x+5 x^2\right)\right) \log (x)+\left(-3 x+x^2+\left(-6 x+3 x^2\right) \log (x)\right) \log (x \log (x))\right) \, dx","Integrate[(9 + 6*x - 3*x^2 + E^x*(-15 + 5*x) + (9 + 15*x - 11*x^2 + E^x*(-15 - 5*x + 5*x^2))*Log[x] + (-3*x + x^2 + (-6*x + 3*x^2)*Log[x])*Log[x*Log[x]])/5,x]","\frac{1}{5} (x-3) x \log (x) \left(-4 x+5 e^x+x \log (x \log (x))-3\right)","(3-x) x \log (x) \left(x-e^x+\frac{1}{5} (-x+x (-\log (x \log (x)))+3)\right)",1,"((-3 + x)*x*Log[x]*(-3 + 5*E^x - 4*x + x*Log[x*Log[x]]))/5","A",1
4078,1,16,18,0.3440956,"\int \frac{2\ 3^{e^x (12-6 x)}+3^{e^x (12-6 x)} \left(2+e^x \left(12 x-12 x^2\right) \log (3)\right) \log (x) \log (\log (x))}{\log (x)} \, dx","Integrate[(2*3^(E^x*(12 - 6*x)) + 3^(E^x*(12 - 6*x))*(2 + E^x*(12*x - 12*x^2)*Log[3])*Log[x]*Log[Log[x]])/Log[x],x]","2\ 3^{-6 e^x (x-2)} x \log (\log (x))","2\ 3^{6 e^x (2-x)} x \log (\log (x))",1,"(2*x*Log[Log[x]])/3^(6*E^x*(-2 + x))","A",1
4079,1,25,28,0.3262837,"\int \frac{e^{-x^3} \left((12-4 x) \log (3-x)+\left(4 x+\left(-36 x^3+12 x^4\right) \log (3-x)\right) \log (x)+\left(e^{x^3} (3-x) \log (3-x)+e^{x^3} x \log (x)\right) \log (\log (4))\right)}{\left(-3 x+x^2\right) \log ^2(3-x)} \, dx","Integrate[((12 - 4*x)*Log[3 - x] + (4*x + (-36*x^3 + 12*x^4)*Log[3 - x])*Log[x] + (E^x^3*(3 - x)*Log[3 - x] + E^x^3*x*Log[x])*Log[Log[4]])/(E^x^3*(-3*x + x^2)*Log[3 - x]^2),x]","-\frac{\log (x) \left(4 e^{-x^3}+\log (\log (4))\right)}{\log (3-x)}","\frac{\log (x) \left(-4 e^{-x^3}-\log (\log (4))\right)}{\log (3-x)}-4",1,"-((Log[x]*(4/E^x^3 + Log[Log[4]]))/Log[3 - x])","A",1
4080,1,19,20,0.0166025,"\int \frac{1-\log \left(\frac{1}{75} (12 x+4 x \log (2))\right)-2 \log ^2\left(\frac{1}{75} (12 x+4 x \log (2))\right)}{\log ^2\left(\frac{1}{75} (12 x+4 x \log (2))\right)} \, dx","Integrate[(1 - Log[(12*x + 4*x*Log[2])/75] - 2*Log[(12*x + 4*x*Log[2])/75]^2)/Log[(12*x + 4*x*Log[2])/75]^2,x]","-2 x-\frac{x}{\log \left(\frac{4}{75} x (3+\log (2))\right)}","-2 x-\frac{x}{\log \left(\frac{4}{75} x (3+\log (2))\right)}+2",1,"-2*x - x/Log[(4*x*(3 + Log[2]))/75]","A",1
4081,1,47,34,0.2046539,"\int \frac{-50 x^4-20 x^3 \log (\log (4))-2 x^2 \log ^2(\log (4))+\exp \left(\frac{-e^5+x-10 x^3-2 x^2 \log (\log (4))}{10 x^2+2 x \log (\log (4))}\right) \left(10 e^5 x-5 x^2-50 x^4+\left(e^5-20 x^3\right) \log (\log (4))-2 x^2 \log ^2(\log (4))\right)}{50 x^4+20 x^3 \log (\log (4))+2 x^2 \log ^2(\log (4))} \, dx","Integrate[(-50*x^4 - 20*x^3*Log[Log[4]] - 2*x^2*Log[Log[4]]^2 + E^((-E^5 + x - 10*x^3 - 2*x^2*Log[Log[4]])/(10*x^2 + 2*x*Log[Log[4]]))*(10*E^5*x - 5*x^2 - 50*x^4 + (E^5 - 20*x^3)*Log[Log[4]] - 2*x^2*Log[Log[4]]^2))/(50*x^4 + 20*x^3*Log[Log[4]] + 2*x^2*Log[Log[4]]^2),x]","\frac{1}{2} \left(2 \exp \left(-\frac{x \left(10 x^2+2 x \log (\log (4))-1\right)+e^5}{2 x (5 x+\log (\log (4)))}\right)-2 x\right)","-x+e^{\frac{x-e^5}{2 x (5 x+\log (\log (4)))}-x}+1",1,"(2/E^((E^5 + x*(-1 + 10*x^2 + 2*x*Log[Log[4]]))/(2*x*(5*x + Log[Log[4]]))) - 2*x)/2","A",1
4082,1,31,31,0.1198323,"\int \frac{e (1-x)+e^6 \left(-x+2 x^2\right)-e x \log (x)+\left(e^6 \left(2+x-x^2\right)+e (-1+x) \log (x)\right) \log \left(\frac{e^5 \left(-2-x+x^2\right)+(1-x) \log (x)}{e^5}\right)+\left(e^{10} \left(2+x-x^2\right)+e^5 \left(-6+x+5 x^2-2 x^3\right)+\left(3+e^5 (-1+x)-5 x+2 x^2\right) \log (x)\right) \log ^2\left(\frac{e^5 \left(-2-x+x^2\right)+(1-x) \log (x)}{e^5}\right)}{\left(e^5 \left(2+x-x^2\right)+(-1+x) \log (x)\right) \log ^2\left(\frac{e^5 \left(-2-x+x^2\right)+(1-x) \log (x)}{e^5}\right)} \, dx","Integrate[(E*(1 - x) + E^6*(-x + 2*x^2) - E*x*Log[x] + (E^6*(2 + x - x^2) + E*(-1 + x)*Log[x])*Log[(E^5*(-2 - x + x^2) + (1 - x)*Log[x])/E^5] + (E^10*(2 + x - x^2) + E^5*(-6 + x + 5*x^2 - 2*x^3) + (3 + E^5*(-1 + x) - 5*x + 2*x^2)*Log[x])*Log[(E^5*(-2 - x + x^2) + (1 - x)*Log[x])/E^5]^2)/((E^5*(2 + x - x^2) + (-1 + x)*Log[x])*Log[(E^5*(-2 - x + x^2) + (1 - x)*Log[x])/E^5]^2),x]","x \left(\frac{e}{\log \left(x^2-x-\frac{(x-1) \log (x)}{e^5}-2\right)}+x+e^5-3\right)","x \left(x+\frac{e}{\log \left((1-x) \left(\frac{\log (x)}{e^5}-x\right)-2\right)}+e^5-3\right)",1,"x*(-3 + E^5 + x + E/Log[-2 - x + x^2 - ((-1 + x)*Log[x])/E^5])","A",1
4083,1,50,33,0.0501163,"\int \frac{18-123 x^2+160 x^3-60 x^4+e^{2/x} \left(12-8 x+6 x^2-2 x^3\right)}{15 x^2} \, dx","Integrate[(18 - 123*x^2 + 160*x^3 - 60*x^4 + E^(2/x)*(12 - 8*x + 6*x^2 - 2*x^3))/(15*x^2),x]","-\frac{4 x^3}{3}+\frac{16 x^2}{3}-\frac{2}{15} e^{2/x} \left(\frac{x^2}{2}-2 x+3\right)-\frac{41 x}{5}-\frac{6}{5 x}","\frac{1}{3} \left((x-2)^2+2\right) \left(-4 x-\frac{e^{2/x} x+3}{5 x}\right)",1,"-6/(5*x) - (41*x)/5 + (16*x^2)/3 - (4*x^3)/3 - (2*E^(2/x)*(3 - 2*x + x^2/2))/15","A",1
4084,1,17,18,0.8041754,"\int \frac{e^{\frac{1}{\log ^4\left(2 x^5-x^6+\left(2 x-x^2\right) \log (36)\right)}} \left(40 x^4-24 x^5+(8-8 x) \log (36)\right)}{\left(-2 x^5+x^6+\left(-2 x+x^2\right) \log (36)\right) \log ^5\left(2 x^5-x^6+\left(2 x-x^2\right) \log (36)\right)} \, dx","Integrate[(E^Log[2*x^5 - x^6 + (2*x - x^2)*Log[36]]^(-4)*(40*x^4 - 24*x^5 + (8 - 8*x)*Log[36]))/((-2*x^5 + x^6 + (-2*x + x^2)*Log[36])*Log[2*x^5 - x^6 + (2*x - x^2)*Log[36]]^5),x]","e^{\frac{1}{\log ^4\left(-\left((x-2) x \left(x^4+\log (36)\right)\right)\right)}}","e^{\frac{1}{\log ^4\left((2-x) x \left(x^4+\log (36)\right)\right)}}",1,"E^Log[-((-2 + x)*x*(x^4 + Log[36]))]^(-4)","A",1
4085,1,11,12,0.0000712,"\int \left(2+3 e^5 x^2\right) \, dx","Integrate[2 + 3*E^5*x^2,x]","e^5 x^3+2 x","e^5 x^3+2 x-5",1,"2*x + E^5*x^3","A",1
4086,1,8,18,0.0007805,"\int \frac{2-3 x}{x} \, dx","Integrate[(2 - 3*x)/x,x]","2 \log (x)-3 x","\log \left(\frac{2 e^8 x^2}{e-1}\right)-3 x",1,"-3*x + 2*Log[x]","A",1
4087,1,15,12,0.0246601,"\int \frac{(6-x) \log (4)+(3-x) \log (4) \log (-3+x)}{-3 x^2+x^3} \, dx","Integrate[((6 - x)*Log[4] + (3 - x)*Log[4]*Log[-3 + x])/(-3*x^2 + x^3),x]","-\frac{\log (4) (-\log (x-3)-2)}{x}","\frac{\log (4) (\log (x-3)+2)}{x}",1,"-((Log[4]*(-2 - Log[-3 + x]))/x)","A",1
4088,1,52,27,0.2535252,"\int \frac{\left(-2 e^x x+2 x^2\right) \log ^2(x)+\left(\left(e^x (-10-2 x)+10 x+2 x^2\right) \log ^2(x)+\left(10 x+12 x^2+2 x^3+e^{2 x} \left(10 x+2 x^2\right)+e^x \left(-10 x-12 x^2-2 x^3\right)\right) \log ^3(x)\right) \log (5+x)+\left(2 x \log (x)+\left(\left(10-8 x-2 x^2+e^x (10+2 x)\right) \log (x)+\left(10 x+2 x^2+e^x \left(-10 x-2 x^2\right)\right) \log ^2(x)\right) \log (5+x)\right) \log (x \log (5+x))+(-10-2 x) \log (5+x) \log ^2(x \log (5+x))}{\left(5 x+x^2\right) \log ^3(x) \log (5+x)} \, dx","Integrate[((-2*E^x*x + 2*x^2)*Log[x]^2 + ((E^x*(-10 - 2*x) + 10*x + 2*x^2)*Log[x]^2 + (10*x + 12*x^2 + 2*x^3 + E^(2*x)*(10*x + 2*x^2) + E^x*(-10*x - 12*x^2 - 2*x^3))*Log[x]^3)*Log[5 + x] + (2*x*Log[x] + ((10 - 8*x - 2*x^2 + E^x*(10 + 2*x))*Log[x] + (10*x + 2*x^2 + E^x*(-10*x - 2*x^2))*Log[x]^2)*Log[5 + x])*Log[x*Log[5 + x]] + (-10 - 2*x)*Log[5 + x]*Log[x*Log[5 + x]]^2)/((5*x + x^2)*Log[x]^3*Log[5 + x]),x]","x^2-2 e^x x+2 x+e^{2 x}+\frac{\log ^2(x \log (x+5))}{\log ^2(x)}-\frac{2 \left(e^x-x\right) \log (x \log (x+5))}{\log (x)}","2 x+\left(-x+e^x-\frac{\log (x \log (x+5))}{\log (x)}\right)^2+2",1,"E^(2*x) + 2*x - 2*E^x*x + x^2 - (2*(E^x - x)*Log[x*Log[5 + x]])/Log[x] + Log[x*Log[5 + x]]^2/Log[x]^2","A",1
4089,1,37,29,0.0946619,"\int \frac{\left(-2+4 e^{2 x}+e^{2+2 x+2 x^2} (4+8 x)+e^{1+2 x+x^2} (8+8 x)\right) \log \left(\frac{4}{e^{2 x}+2 e^{1+2 x+x^2}+e^{2+2 x+2 x^2}-x}\right)}{e^{2 x}+2 e^{1+2 x+x^2}+e^{2+2 x+2 x^2}-x} \, dx","Integrate[((-2 + 4*E^(2*x) + E^(2 + 2*x + 2*x^2)*(4 + 8*x) + E^(1 + 2*x + x^2)*(8 + 8*x))*Log[4/(E^(2*x) + 2*E^(1 + 2*x + x^2) + E^(2 + 2*x + 2*x^2) - x)])/(E^(2*x) + 2*E^(1 + 2*x + x^2) + E^(2 + 2*x + 2*x^2) - x),x]","-\log ^2\left(\frac{4}{e^{2 \left(x^2+x+1\right)}-x+2 e^{(x+1)^2}+e^{2 x}}\right)","5-\log ^2\left(\frac{4}{\left(e^{x^2+x+1}+e^x\right)^2-x}\right)",1,"-Log[4/(E^(2*x) + 2*E^(1 + x)^2 + E^(2*(1 + x + x^2)) - x)]^2","A",1
4090,1,47,23,0.0055355,"\int \left(-3-2 x-8 e^3 x^2-5 e^6 x^4+\left(-4-6 e^3 x^2\right) \log (x)-\log ^2(x)\right) \, dx","Integrate[-3 - 2*x - 8*E^3*x^2 - 5*E^6*x^4 + (-4 - 6*E^3*x^2)*Log[x] - Log[x]^2,x]","-e^6 x^5-2 e^3 x^3-2 e^3 x^3 \log (x)-x^2-x-x \log ^2(x)-2 x \log (x)","-x^2-x \left(e^3 x^2+\log (x)+1\right)^2+2",1,"-x - x^2 - 2*E^3*x^3 - E^6*x^5 - 2*x*Log[x] - 2*E^3*x^3*Log[x] - x*Log[x]^2","B",1
4091,1,29,29,0.2652221,"\int \frac{e^{-2 e^{-x+x^2}} \left(e^{-x+x^2} \left(8 x-16 x^2\right)-e^{2 e^{-x+x^2}} x \log ^2(16)+2 e^{2 e^{-x+x^2}+\log ^2(x)} \log ^2(16) \log (x)\right)}{x \log ^2(16)} \, dx","Integrate[(E^(-x + x^2)*(8*x - 16*x^2) - E^(2*E^(-x + x^2))*x*Log[16]^2 + 2*E^(2*E^(-x + x^2) + Log[x]^2)*Log[16]^2*Log[x])/(E^(2*E^(-x + x^2))*x*Log[16]^2),x]","\frac{4 e^{-2 e^{x^2-x}}}{\log ^2(16)}-x+e^{\log ^2(x)}","\frac{4 e^{-2 e^{x^2-x}}}{\log ^2(16)}-x+e^{\log ^2(x)}",1,"E^Log[x]^2 - x + 4/(E^(2*E^(-x + x^2))*Log[16]^2)","A",1
4092,1,18,21,0.0073525,"\int \left(141+10 x+e^x (1+x) \log ^2(5)\right) \, dx","Integrate[141 + 10*x + E^x*(1 + x)*Log[5]^2,x]","5 x^2+141 x+e^x x \log ^2(5)","5 (x+14)^2+x \left(e^x \log ^2(5)+1\right)-5",1,"141*x + 5*x^2 + E^x*x*Log[5]^2","A",1
4093,1,84,22,0.044496,"\int e^{-8 e^4} \left(-4 e^{2 e^4}-12 x^2\right) \left(x^3+e^{2 e^4} (3+x)\right)^3 \, dx","Integrate[((-4*E^(2*E^4) - 12*x^2)*(x^3 + E^(2*E^4)*(3 + x))^3)/E^(8*E^4),x]","-e^{-8 e^4} \left(x^{12}+4 e^{2 e^4} (x+3) x^9+6 e^{4 e^4} (x+3)^2 x^6+4 e^{6 e^4} (x+3)^3 x^3+e^{8 e^4} \left(x^3+12 x^2+54 x+108\right) x\right)","\frac{1}{4}-\left(e^{-2 e^4} x^3+x+3\right)^4",1,"-((x^12 + 4*E^(2*E^4)*x^9*(3 + x) + 6*E^(4*E^4)*x^6*(3 + x)^2 + 4*E^(6*E^4)*x^3*(3 + x)^3 + E^(8*E^4)*x*(108 + 54*x + 12*x^2 + x^3))/E^(8*E^4))","B",1
4094,1,26,26,0.2353892,"\int \frac{6+2 x+4 x^2+2 x^3-4 \log \left(3 x^2\right)+\left(3+2 x^2\right) \log ^2\left(3 x^2\right)}{6 x+3 x^2+3 x \log ^2\left(3 x^2\right)} \, dx","Integrate[(6 + 2*x + 4*x^2 + 2*x^3 - 4*Log[3*x^2] + (3 + 2*x^2)*Log[3*x^2]^2)/(6*x + 3*x^2 + 3*x*Log[3*x^2]^2),x]","\frac{1}{3} \left(x^2-\log \left(\log ^2\left(3 x^2\right)+x+2\right)+3 \log (x)\right)","\frac{1}{3} \left(x^2+\log \left(\frac{x^3}{\log ^2\left(3 x^2\right)+x+2}\right)\right)",1,"(x^2 + 3*Log[x] - Log[2 + x + Log[3*x^2]^2])/3","A",1
4095,1,35,30,0.0049124,"\int \left(1-i \pi -2 x-6 x^2-\log \left(1+e^5\right)-4 x \log \left(4 x+e^4 x\right)\right) \, dx","Integrate[1 - I*Pi - 2*x - 6*x^2 - Log[1 + E^5] - 4*x*Log[4*x + E^4*x],x]","-2 x^3-2 x^2 \log \left(\left(4+e^4\right) x\right)-i \pi  x+x-x \log \left(1+e^5\right)","x \left(-2 x \left(x+\log \left(\left(4+e^4\right) x\right)\right)-i \pi +1-\log \left(1+e^5\right)\right)",1,"x - I*Pi*x - 2*x^3 - x*Log[1 + E^5] - 2*x^2*Log[(4 + E^4)*x]","A",1
4096,1,32,24,0.0125574,"\int \frac{-1650-150 x+\left(968 x^3+88 x^4+2 x^5\right) \log ^2(3)}{12100 x^2+1100 x^3+25 x^4} \, dx","Integrate[(-1650 - 150*x + (968*x^3 + 88*x^4 + 2*x^5)*Log[3]^2)/(12100*x^2 + 1100*x^3 + 25*x^4),x]","\frac{2}{25} \left(\frac{1}{2} x^2 \log ^2(3)-\frac{75}{44 (x+22)}+\frac{75}{44 x}\right)","\frac{1}{25} x^2 \log ^2(3)-\frac{3}{(-x-22) x}",1,"(2*(75/(44*x) - 75/(44*(22 + x)) + (x^2*Log[3]^2)/2))/25","A",1
4097,1,17,14,0.163548,"\int \frac{3+x^x (3+3 \log (x))+\left(-x-x^x\right) \log \left(x+x^x\right)}{\left(3 x+3 x^x\right) \log \left(x+x^x\right)} \, dx","Integrate[(3 + x^x*(3 + 3*Log[x]) + (-x - x^x)*Log[x + x^x])/((3*x + 3*x^x)*Log[x + x^x]),x]","\frac{1}{3} \left(3 \log \left(\log \left(x^x+x\right)\right)-x\right)","\log \left(\log \left(x^x+x\right)\right)-\frac{x}{3}+5",1,"(-x + 3*Log[Log[x + x^x]])/3","A",1
4098,1,12,14,0.0008464,"\int \frac{3 e^4 \log (2)}{2 x^2} \, dx","Integrate[(3*E^4*Log[2])/(2*x^2),x]","-\frac{e^4 \log (8)}{2 x}","-\frac{3 e^4 \log (2)}{2 x}-3",1,"-1/2*(E^4*Log[8])/x","A",1
4099,1,43,27,0.2222939,"\int \frac{2 e^4+e^{\frac{16+32 x-9 x^2+4 x^3-x^4}{4 e^4}} \left(16-9 x+6 x^2-2 x^3\right)}{2 e^4} \, dx","Integrate[(2*E^4 + E^((16 + 32*x - 9*x^2 + 4*x^3 - x^4)/(4*E^4))*(16 - 9*x + 6*x^2 - 2*x^3))/(2*E^4),x]","\exp \left(-\frac{x^4}{4 e^4}+\frac{x^3}{e^4}-\frac{9 x^2}{4 e^4}+\frac{8 x}{e^4}+\frac{4}{e^4}\right)+x","e^{\frac{(4-x) x \left(x^2+\frac{4}{x}+9\right)}{4 e^4}}+x",1,"E^(4/E^4 + (8*x)/E^4 - (9*x^2)/(4*E^4) + x^3/E^4 - x^4/(4*E^4)) + x","A",1
4100,1,30,24,0.4910537,"\int \frac{\exp \left(\frac{-e^{2 x}+8 x^2+2 e^x x^2-x^4-x^2 \log ^2(2)}{x^2}\right) \left(e^{2 x} (2-2 x)+2 e^x x^3-2 x^4\right)}{x^3} \, dx","Integrate[(E^((-E^(2*x) + 8*x^2 + 2*E^x*x^2 - x^4 - x^2*Log[2]^2)/x^2)*(E^(2*x)*(2 - 2*x) + 2*E^x*x^3 - 2*x^4))/x^3,x]","e^{-x^2-\frac{e^{2 x}}{x^2}+2 e^x+8-\log ^2(2)}","e^{-\left(x-\frac{e^x}{x}\right)^2+8-\log ^2(2)}",1,"E^(8 + 2*E^x - E^(2*x)/x^2 - x^2 - Log[2]^2)","A",1
4101,1,29,29,0.1602484,"\int \frac{-40 x-90 x^2-20 x^3+\left(60+220 x-50 x^2-10 x^3\right) \log \left(9-6 x+x^2\right)+\left(-93 x^2+31 x^3\right) \log ^2\left(9-6 x+x^2\right)}{\left(-3 x^2-11 x^3-8 x^4+4 x^5\right) \log ^2\left(9-6 x+x^2\right)} \, dx","Integrate[(-40*x - 90*x^2 - 20*x^3 + (60 + 220*x - 50*x^2 - 10*x^3)*Log[9 - 6*x + x^2] + (-93*x^2 + 31*x^3)*Log[9 - 6*x + x^2]^2)/((-3*x^2 - 11*x^3 - 8*x^4 + 4*x^5)*Log[9 - 6*x + x^2]^2),x]","\frac{\frac{10 (x+4)}{x \log \left((x-3)^2\right)}-31}{2 (2 x+1)}","\frac{x+5 \left(\frac{x+4}{x \log \left((x-3)^2\right)}-3\right)}{2 x+1}",1,"(-31 + (10*(4 + x))/(x*Log[(-3 + x)^2]))/(2*(1 + 2*x))","A",1
4102,1,31,31,0.3004467,"\int \frac{4+e^{e^{18-2 e^x-2 x}+4 x-x \log (3)} \left(16+e^{18-2 e^x-2 x} \left(-8-8 e^x\right)-4 \log (3)\right)}{25+e^{2 e^{18-2 e^x-2 x}+8 x-2 x \log (3)}-10 x+x^2+e^{e^{18-2 e^x-2 x}+4 x-x \log (3)} (-10+2 x)} \, dx","Integrate[(4 + E^(E^(18 - 2*E^x - 2*x) + 4*x - x*Log[3])*(16 + E^(18 - 2*E^x - 2*x)*(-8 - 8*E^x) - 4*Log[3]))/(25 + E^(2*E^(18 - 2*E^x - 2*x) + 8*x - 2*x*Log[3]) - 10*x + x^2 + E^(E^(18 - 2*E^x - 2*x) + 4*x - x*Log[3])*(-10 + 2*x)),x]","-\frac{4\ 3^x}{3^x (x-5)+e^{4 x+e^{-2 \left(x+e^x-9\right)}}}","5-\frac{4}{x+e^{e^{-2 x-2 e^x+18}-x (\log (3)-4)}-5}",1,"(-4*3^x)/(E^(E^(-2*(-9 + E^x + x)) + 4*x) + 3^x*(-5 + x))","A",1
4103,1,19,20,0.0382506,"\int \frac{e^{-2 x} \left(1-2 x+\left(3-6 x^2\right) \log (4)\right)}{3 \log (4)} \, dx","Integrate[(1 - 2*x + (3 - 6*x^2)*Log[4])/(3*E^(2*x)*Log[4]),x]","\frac{e^{-2 x} x (x \log (64)+1+\log (64))}{\log (64)}","e^{-2 x} \left(x^2+x+\frac{x}{3 \log (4)}\right)",1,"(x*(1 + Log[64] + x*Log[64]))/(E^(2*x)*Log[64])","A",1
4104,1,16,23,0.0033674,"\int \frac{1}{3} \left(253-3 e^x+96 x\right) \, dx","Integrate[(253 - 3*E^x + 96*x)/3,x]","16 x^2+\frac{253 x}{3}-e^x","\frac{x}{3}-e^x+4 (x+4 (x+2) (x+3))",1,"-E^x + (253*x)/3 + 16*x^2","A",1
4105,1,7,13,0.0000698,"\int (28+2 x) \, dx","Integrate[28 + 2*x,x]","x^2+28 x","2 x+(x-4) (x+30)+\log (5)",1,"28*x + x^2","A",1
4106,1,41,23,0.2713921,"\int \frac{4095-2047 x+384 x^2-32 x^3+x^4+e^x \left(4095-2047 x+384 x^2-32 x^3+x^4\right)+\left(2047-2815 x+864 x^2-100 x^3+4 x^4+e^x \left(-2047+768 x-96 x^2+4 x^3\right)\right) \log \left(\frac{-1+e^x+x}{\log (3)}\right)}{-1+e^x+x} \, dx","Integrate[(4095 - 2047*x + 384*x^2 - 32*x^3 + x^4 + E^x*(4095 - 2047*x + 384*x^2 - 32*x^3 + x^4) + (2047 - 2815*x + 864*x^2 - 100*x^3 + 4*x^4 + E^x*(-2047 + 768*x - 96*x^2 + 4*x^3))*Log[(-1 + E^x + x)/Log[3]])/(-1 + E^x + x),x]","x \left(x^3-32 x^2+384 x-2047\right) \log \left(\frac{x+e^x-1}{\log (3)}\right)+4095 \log \left(-x-e^x+1\right)","\left((8-x)^4+x-1\right) \log \left(\frac{x+e^x-1}{\log (3)}\right)",1,"4095*Log[1 - E^x - x] + x*(-2047 + 384*x - 32*x^2 + x^3)*Log[(-1 + E^x + x)/Log[3]]","A",1
4107,1,16,21,0.1382371,"\int \frac{-1+x+e^x x}{-e^x x-x^2+x \log \left(\frac{103}{5}\right)+x \log (x)} \, dx","Integrate[(-1 + x + E^x*x)/(-(E^x*x) - x^2 + x*Log[103/5] + x*Log[x]),x]","-\log \left(x+e^x-\log \left(\frac{103 x}{5}\right)\right)","\log \left(\frac{1}{-x-e^x+\log (x)+\log \left(\frac{103}{5}\right)}\right)+\log (5)",1,"-Log[E^x + x - Log[(103*x)/5]]","A",1
4108,1,50,30,0.0548971,"\int \frac{e^4 (-207360-810 x)+e^9 \left(17694720+138240 x+270 x^2\right)}{81+e^4 \left(-14155776-110592 x-216 x^2\right)+e^{15} \left(-201326592-2359296 x-9216 x^2-12 x^3\right)+e^{20} \left(4294967296+67108864 x+393216 x^2+1024 x^3+x^4\right)+e^8 \left(618475290624+9663676416 x+56623104 x^2+147456 x^3+144 x^4\right)+e^3 \left(e^2 (-27648-108 x)+e^6 \left(2415919104+28311552 x+110592 x^2+144 x^3\right)\right)+e^6 \left(e^4 \left(3538944+27648 x+54 x^2\right)+e^8 \left(-103079215104-1610612736 x-9437184 x^2-24576 x^3-24 x^4\right)\right)} \, dx","Integrate[(E^4*(-207360 - 810*x) + E^9*(17694720 + 138240*x + 270*x^2))/(81 + E^4*(-14155776 - 110592*x - 216*x^2) + E^15*(-201326592 - 2359296*x - 9216*x^2 - 12*x^3) + E^20*(4294967296 + 67108864*x + 393216*x^2 + 1024*x^3 + x^4) + E^8*(618475290624 + 9663676416*x + 56623104*x^2 + 147456*x^3 + 144*x^4) + E^3*(E^2*(-27648 - 108*x) + E^6*(2415919104 + 28311552*x + 110592*x^2 + 144*x^3)) + E^6*(E^4*(3538944 + 27648*x + 54*x^2) + E^8*(-103079215104 - 1610612736*x - 9437184*x^2 - 24576*x^3 - 24*x^4))),x]","\frac{135 \left(3-2 e^5 (x+256)\right)}{\left(e^6-12\right) \left(e^{10} (x+256)^2-12 e^4 (x+256)^2-6 e^5 (x+256)+9\right)}","\frac{5}{\frac{4}{3}-\left(\frac{e^3}{3}-\frac{1}{e^2 (x+256)}\right)^2}",1,"(135*(3 - 2*E^5*(256 + x)))/((-12 + E^6)*(9 - 6*E^5*(256 + x) - 12*E^4*(256 + x)^2 + E^10*(256 + x)^2))","A",1
4109,1,33,28,0.0993419,"\int \frac{30 x^2-10 x^4+\left(30-10 x^2+9 x^5-6 x^7+x^9-60 x^6 \log (3)\right) \log (x)+\left(18 x^3-12 x^5+2 x^7-120 x^4 \log (3)\right) \log ^2(x)+\left(9 x-6 x^3+x^5-60 x^2 \log (3)\right) \log ^3(x)+\left(\left(-30-50 x^2+40 x^4\right) \log (x)+20 x^2 \log ^2(x)\right) \log (\log (x))}{\left(9 x^5-6 x^7+x^9\right) \log (x)+\left(18 x^3-12 x^5+2 x^7\right) \log ^2(x)+\left(9 x-6 x^3+x^5\right) \log ^3(x)} \, dx","Integrate[(30*x^2 - 10*x^4 + (30 - 10*x^2 + 9*x^5 - 6*x^7 + x^9 - 60*x^6*Log[3])*Log[x] + (18*x^3 - 12*x^5 + 2*x^7 - 120*x^4*Log[3])*Log[x]^2 + (9*x - 6*x^3 + x^5 - 60*x^2*Log[3])*Log[x]^3 + ((-30 - 50*x^2 + 40*x^4)*Log[x] + 20*x^2*Log[x]^2)*Log[Log[x]])/((9*x^5 - 6*x^7 + x^9)*Log[x] + (18*x^3 - 12*x^5 + 2*x^7)*Log[x]^2 + (9*x - 6*x^3 + x^5)*Log[x]^3),x]","-\frac{10 \log (\log (x))}{\left(x^2-3\right) \left(x^2+\log (x)\right)}+\frac{30 \log (3)}{x^2-3}+x","x-\frac{10 \left(\frac{\log (\log (x))}{x^2+\log (x)}-3 \log (3)\right)}{x^2-3}",1,"x + (30*Log[3])/(-3 + x^2) - (10*Log[Log[x]])/((-3 + x^2)*(x^2 + Log[x]))","A",1
4110,1,20,21,0.0931464,"\int \frac{-19200+3840 x+(-1-32 x) \log \left(1+64 x+1024 x^2\right)}{\left(-5-159 x+32 x^2\right) \log \left(1+64 x+1024 x^2\right)} \, dx","Integrate[(-19200 + 3840*x + (-1 - 32*x)*Log[1 + 64*x + 1024*x^2])/((-5 - 159*x + 32*x^2)*Log[1 + 64*x + 1024*x^2]),x]","60 \log \left(\log \left((32 x+1)^2\right)\right)-\log (160-32 x)","-\log (x-5)+60 \left(\log \left(\log \left((32 x+1)^2\right)\right)-5\right)-3",1,"-Log[160 - 32*x] + 60*Log[Log[(1 + 32*x)^2]]","A",1
4111,1,47,32,0.1211137,"\int \frac{e^2 (-200-300 x)+48 x-104 x^2+40 x^3+24 x^4-12 x^5+e \left(-80-200 x-160 x^2+120 x^3\right)+\left(160+128 x+100 e^2 x+192 x^2-112 x^3-16 x^4+4 x^5+e \left(400+560 x+80 x^2-40 x^3\right)\right) \log (x)+\left(-200-260 x-200 e x-80 x^2+40 x^3\right) \log ^2(x)+100 x \log ^3(x)}{25 e^2 x^3+4 x^5-4 x^6+x^7+e \left(20 x^4-10 x^5\right)+\left(50 e^2 x^2-12 x^4+2 x^5+2 x^6+e \left(-10 x^3-20 x^4\right)\right) \log (x)+\left(25 e^2 x-11 x^3+16 x^4+x^5+e \left(-80 x^2-10 x^3\right)\right) \log ^2(x)+\left(-50 e x+30 x^2+10 x^3\right) \log ^3(x)+25 x \log ^4(x)} \, dx","Integrate[(E^2*(-200 - 300*x) + 48*x - 104*x^2 + 40*x^3 + 24*x^4 - 12*x^5 + E*(-80 - 200*x - 160*x^2 + 120*x^3) + (160 + 128*x + 100*E^2*x + 192*x^2 - 112*x^3 - 16*x^4 + 4*x^5 + E*(400 + 560*x + 80*x^2 - 40*x^3))*Log[x] + (-200 - 260*x - 200*E*x - 80*x^2 + 40*x^3)*Log[x]^2 + 100*x*Log[x]^3)/(25*E^2*x^3 + 4*x^5 - 4*x^6 + x^7 + E*(20*x^4 - 10*x^5) + (50*E^2*x^2 - 12*x^4 + 2*x^5 + 2*x^6 + E*(-10*x^3 - 20*x^4))*Log[x] + (25*E^2*x - 11*x^3 + 16*x^4 + x^5 + E*(-80*x^2 - 10*x^3))*Log[x]^2 + (-50*E*x + 30*x^2 + 10*x^3)*Log[x]^3 + 25*x*Log[x]^4),x]","\frac{4 \left(-x^3+2 x+5 e (x+2)-5 (x+2) \log (x)+4\right)}{(-((x-2) x)-5 \log (x)+5 e) (x+\log (x))}","\frac{4 \left(x+\frac{2}{x-\frac{5 (\log (x)-e)}{2-x}}+2\right)}{x+\log (x)}",1,"(4*(4 + 2*x - x^3 + 5*E*(2 + x) - 5*(2 + x)*Log[x]))/((5*E - (-2 + x)*x - 5*Log[x])*(x + Log[x]))","A",1
4112,1,24,20,0.5661963,"\int \frac{-90+84 x-27 x^2+4 x^3+\left(-144+72 x-12 x^2\right) \log \left(12-6 x+x^2\right)}{-36 x+18 x^2-3 x^3+\left(108-54 x+9 x^2\right) \log \left(12-6 x+x^2\right)} \, dx","Integrate[(-90 + 84*x - 27*x^2 + 4*x^3 + (-144 + 72*x - 12*x^2)*Log[12 - 6*x + x^2])/(-36*x + 18*x^2 - 3*x^3 + (108 - 54*x + 9*x^2)*Log[12 - 6*x + x^2]),x]","\frac{1}{3} \left(3 \log \left(x-3 \log \left(x^2-6 x+12\right)\right)-4 x\right)","-\frac{4 x}{3}+\log \left(x-3 \log \left((x-3)^2+3\right)\right)-255",1,"(-4*x + 3*Log[x - 3*Log[12 - 6*x + x^2]])/3","A",1
4113,1,33,32,0.0598433,"\int \frac{e^{\frac{1}{4} (2-\log (4))} \left(\left(-9-x^2\right) \log (4)+e^{\frac{1}{4} (-2+\log (4))} \left(18 x+2 x^3+4 x \log (4)\right)\right)}{\left(9+x^2\right) \log (4)} \, dx","Integrate[(E^((2 - Log[4])/4)*((-9 - x^2)*Log[4] + E^((-2 + Log[4])/4)*(18*x + 2*x^3 + 4*x*Log[4])))/((9 + x^2)*Log[4]),x]","\frac{2 x^2+\log (256) \log \left(x^2+9\right)-\sqrt{2 e} x \log (4)+18}{\log (16)}","\frac{x^2}{\log (4)}+2 \log \left(x^2+9\right)-x e^{\frac{1}{4} (2-\log (4))}",1,"(18 + 2*x^2 - Sqrt[2*E]*x*Log[4] + Log[256]*Log[9 + x^2])/Log[16]","A",0
4114,1,26,26,0.1914681,"\int \frac{-2 x^4-2 x^4 \log (x)+\left(5 x^2+x^4+\left(5 x^2+x^4\right) \log (x)\right) \log \left(5+x^2\right)+\left(2 x^2+2 x^2 \log (x)+\left(-5-x^2+\left(-5-x^2\right) \log (x)\right) \log \left(5+x^2\right)\right) \log (1+\log (x))+\left(-5+9 x^2+2 x^4+\left(10 x^2+2 x^4\right) \log (x)\right) \log \left(5+x^2\right) \log \left(\frac{x}{2 \log \left(5+x^2\right)}\right)}{\left(5 x+x^3+\left(5 x+x^3\right) \log (x)\right) \log \left(5+x^2\right)} \, dx","Integrate[(-2*x^4 - 2*x^4*Log[x] + (5*x^2 + x^4 + (5*x^2 + x^4)*Log[x])*Log[5 + x^2] + (2*x^2 + 2*x^2*Log[x] + (-5 - x^2 + (-5 - x^2)*Log[x])*Log[5 + x^2])*Log[1 + Log[x]] + (-5 + 9*x^2 + 2*x^4 + (10*x^2 + 2*x^4)*Log[x])*Log[5 + x^2]*Log[x/(2*Log[5 + x^2])])/((5*x + x^3 + (5*x + x^3)*Log[x])*Log[5 + x^2]),x]","\left(x^2-\log (\log (x)+1)\right) \log \left(\frac{x}{2 \log \left(x^2+5\right)}\right)","\left(x^2-\log (\log (x)+1)\right) \log \left(\frac{x}{2 \log \left(x^2+5\right)}\right)",1,"(x^2 - Log[1 + Log[x]])*Log[x/(2*Log[5 + x^2])]","A",1
4115,1,10,10,0.0006165,"\int -\frac{48828125}{7558272 e^{16} x^{11}} \, dx","Integrate[-48828125/(7558272*E^16*x^11),x]","\frac{9765625}{15116544 e^{16} x^{10}}","\frac{9765625}{15116544 e^{16} x^{10}}",1,"9765625/(15116544*E^16*x^10)","A",1
4116,1,21,23,0.02915,"\int \frac{9 e+9 e^5+9 x^2}{e^2 \left(e+e^5-x\right) \left(-x-2 x^2-x^3+e \left(1+2 x+x^2\right)+e^5 \left(1+2 x+x^2\right)\right)} \, dx","Integrate[(9*E + 9*E^5 + 9*x^2)/(E^2*(E + E^5 - x)*(-x - 2*x^2 - x^3 + E*(1 + 2*x + x^2) + E^5*(1 + 2*x + x^2))),x]","\frac{9 x}{e^2 \left(-x+e^5+e\right) (x+1)}","\frac{9 x}{e^2 \left(-x+e^5+e\right) (x+1)}-25",1,"(9*x)/(E^2*(E + E^5 - x)*(1 + x))","A",1
4117,1,29,28,0.276006,"\int \frac{e^x \left(64+16 x^4+x^8\right)+e^x \left(64+8 x^4\right) \log \left(x^2\right)+16 e^x \log ^2\left(x^2\right)+e^{\frac{5 x^3+x^4}{e^x \left(8+x^4\right)+4 e^x \log \left(x^2\right)}} \left(80 x^2-16 x^3-8 x^4-5 x^6-5 x^7-x^8+\left(60 x^2-4 x^3-4 x^4\right) \log \left(x^2\right)\right)}{e^x \left(64+16 x^4+x^8\right)+e^x \left(64+8 x^4\right) \log \left(x^2\right)+16 e^x \log ^2\left(x^2\right)} \, dx","Integrate[(E^x*(64 + 16*x^4 + x^8) + E^x*(64 + 8*x^4)*Log[x^2] + 16*E^x*Log[x^2]^2 + E^((5*x^3 + x^4)/(E^x*(8 + x^4) + 4*E^x*Log[x^2]))*(80*x^2 - 16*x^3 - 8*x^4 - 5*x^6 - 5*x^7 - x^8 + (60*x^2 - 4*x^3 - 4*x^4)*Log[x^2]))/(E^x*(64 + 16*x^4 + x^8) + E^x*(64 + 8*x^4)*Log[x^2] + 16*E^x*Log[x^2]^2),x]","e^{\frac{e^{-x} x^3 (x+5)}{x^4+4 \log \left(x^2\right)+8}}+x","e^{\frac{e^{-x} (x+5)}{\frac{4 \left(\log \left(x^2\right)+2\right)}{x^3}+x}}+x",1,"E^((x^3*(5 + x))/(E^x*(8 + x^4 + 4*Log[x^2]))) + x","A",1
4118,1,26,23,0.0516218,"\int \frac{94 x+4 x^3+28 x \log (x)+2 x \log ^2(x)+\left(126 x-4 x^3+32 x \log (x)+2 x \log ^2(x)\right) \log \left(\frac{63-2 x^2+16 \log (x)+\log ^2(x)}{x}\right)}{\left(63-2 x^2+16 \log (x)+\log ^2(x)\right) \log ^3\left(\frac{63-2 x^2+16 \log (x)+\log ^2(x)}{x}\right)} \, dx","Integrate[(94*x + 4*x^3 + 28*x*Log[x] + 2*x*Log[x]^2 + (126*x - 4*x^3 + 32*x*Log[x] + 2*x*Log[x]^2)*Log[(63 - 2*x^2 + 16*Log[x] + Log[x]^2)/x])/((63 - 2*x^2 + 16*Log[x] + Log[x]^2)*Log[(63 - 2*x^2 + 16*Log[x] + Log[x]^2)/x]^3),x]","\frac{x^2}{\log ^2\left(\frac{-2 x^2+\log ^2(x)+16 \log (x)+63}{x}\right)}","\frac{x^2}{\log ^2\left(\frac{(\log (x)+8)^2-1}{x}-2 x\right)}",1,"x^2/Log[(63 - 2*x^2 + 16*Log[x] + Log[x]^2)/x]^2","A",1
4119,1,7,7,0.0011873,"\int \frac{1}{-1+e^4+x} \, dx","Integrate[(-1 + E^4 + x)^(-1),x]","\log \left(x+e^4-1\right)","\log \left(x+e^4-1\right)",1,"Log[-1 + E^4 + x]","A",1
4120,1,21,16,0.1391886,"\int \frac{e^x \left(-3-3 x+x^2\right)}{36-24 x+4 x^2+e^x \left(-3 x+x^2\right)} \, dx","Integrate[(E^x*(-3 - 3*x + x^2))/(36 - 24*x + 4*x^2 + E^x*(-3*x + x^2)),x]","\log \left(-e^x x-4 x+12\right)-\log (3-x)","\log \left(4-\frac{e^x x}{3-x}\right)",1,"-Log[3 - x] + Log[12 - 4*x - E^x*x]","A",1
4121,1,32,33,0.1263497,"\int \frac{-2 x \log (x)+2 \log (x) \log ^2\left(x^2\right)+\left((-x-x \log (x)) \log \left(x^2\right)+(2+2 \log (x)) \log ^2\left(x^2\right)\right) \log \left(\frac{-x+2 \log \left(x^2\right)}{5 x \log \left(x^2\right)}\right)+\left(-5 x \log \left(x^2\right)+10 \log ^2\left(x^2\right)\right) \log ^2\left(\frac{-x+2 \log \left(x^2\right)}{5 x \log \left(x^2\right)}\right)}{\left(-5 x \log \left(x^2\right)+10 \log ^2\left(x^2\right)\right) \log ^2\left(\frac{-x+2 \log \left(x^2\right)}{5 x \log \left(x^2\right)}\right)} \, dx","Integrate[(-2*x*Log[x] + 2*Log[x]*Log[x^2]^2 + ((-x - x*Log[x])*Log[x^2] + (2 + 2*Log[x])*Log[x^2]^2)*Log[(-x + 2*Log[x^2])/(5*x*Log[x^2])] + (-5*x*Log[x^2] + 10*Log[x^2]^2)*Log[(-x + 2*Log[x^2])/(5*x*Log[x^2])]^2)/((-5*x*Log[x^2] + 10*Log[x^2]^2)*Log[(-x + 2*Log[x^2])/(5*x*Log[x^2])]^2),x]","-\frac{1}{5} x \left(-\frac{\log (x)}{\log \left(\frac{2}{5 x}-\frac{1}{5 \log \left(x^2\right)}\right)}-5\right)","\frac{1}{5} \left(\frac{x \log (x)}{\log \left(\frac{2-\frac{x}{\log \left(x^2\right)}}{5 x}\right)}+3\right)+x",1,"-1/5*(x*(-5 - Log[x]/Log[2/(5*x) - 1/(5*Log[x^2])]))","A",1
4122,1,26,19,0.0443286,"\int \frac{4-2 x^4+\left(-2+5 x^4\right) \log \left(x^2\right)+25 \log ^2\left(x^2\right)}{25 \log ^2\left(x^2\right)} \, dx","Integrate[(4 - 2*x^4 + (-2 + 5*x^4)*Log[x^2] + 25*Log[x^2]^2)/(25*Log[x^2]^2),x]","-\frac{2 x}{25 \log \left(x^2\right)}+\frac{x^5}{25 \log \left(x^2\right)}+x","\frac{\left(x^4-2\right) x}{25 \log \left(x^2\right)}+x+2",1,"x - (2*x)/(25*Log[x^2]) + x^5/(25*Log[x^2])","A",1
4123,1,28,27,0.092401,"\int \frac{8-2 x+24 x^2+2 x^3+e^x \left(4+3 x+x^2\right)}{128+96 x+24 x^2+2 x^3} \, dx","Integrate[(8 - 2*x + 24*x^2 + 2*x^3 + E^x*(4 + 3*x + x^2))/(128 + 96*x + 24*x^2 + 2*x^3),x]","\frac{2 x^3+16 x^2+\left(e^x+130\right) x+256}{2 (x+4)^2}","6-\frac{x \left(2 \left(-x^2-1\right)-e^x\right)}{2 (x+4)^2}",1,"(256 + (130 + E^x)*x + 16*x^2 + 2*x^3)/(2*(4 + x)^2)","A",1
4124,1,10,12,0.0013966,"\int -\frac{2250}{16 x^4-8 e x^4+e^2 x^4} \, dx","Integrate[-2250/(16*x^4 - 8*E*x^4 + E^2*x^4),x]","\frac{750}{(e-4)^2 x^3}","\frac{750}{(4-e)^2 x^3}",1,"750/((-4 + E)^2*x^3)","A",1
4125,1,14,22,0.0258236,"\int e^{x^4+\log ^2(x)} x^3 \left(4+4 x^4+2 \log (x)\right) \, dx","Integrate[E^(x^4 + Log[x]^2)*x^3*(4 + 4*x^4 + 2*Log[x]),x]","x^4 e^{x^4+\log ^2(x)}","e^{x^4+\frac{(5 x+x (\log (x)-1)) \log (x)}{x}}",1,"E^(x^4 + Log[x]^2)*x^4","A",1
4126,1,17,25,0.1230874,"\int -\frac{e^{\frac{1}{3+\log ^2(3+\log (x))}} \log (3+\log (x))}{54 x+18 x \log (x)+(36 x+12 x \log (x)) \log ^2(3+\log (x))+(6 x+2 x \log (x)) \log ^4(3+\log (x))} \, dx","Integrate[-((E^(3 + Log[3 + Log[x]]^2)^(-1)*Log[3 + Log[x]])/(54*x + 18*x*Log[x] + (36*x + 12*x*Log[x])*Log[3 + Log[x]]^2 + (6*x + 2*x*Log[x])*Log[3 + Log[x]]^4)),x]","\frac{1}{4} e^{\frac{1}{\log ^2(\log (x)+3)+3}}","\frac{1}{4} \left(e^{\frac{x}{3 x+x \log ^2(\log (x)+3)}}+7\right)",1,"E^(3 + Log[3 + Log[x]]^2)^(-1)/4","A",1
4127,1,33,22,0.1815644,"\int \frac{2 x^2 \log ^2(x)+\left(\left(96+2 x^2\right) \log (x)+\left(-96-2 x^2\right) \log ^2(x)\right) \log \left(\frac{1}{16} e^4 \left(48+x^2\right)\right)}{48 x^3+x^5} \, dx","Integrate[(2*x^2*Log[x]^2 + ((96 + 2*x^2)*Log[x] + (-96 - 2*x^2)*Log[x]^2)*Log[(E^4*(48 + x^2))/16])/(48*x^3 + x^5),x]","2 \left(\frac{\log \left(\frac{x^2}{16}+3\right) \log ^2(x)}{2 x^2}+\frac{2 \log ^2(x)}{x^2}\right)","\frac{\log ^2(x) \log \left(e^4 \left(\frac{x^2}{16}+3\right)\right)}{x^2}",1,"2*((2*Log[x]^2)/x^2 + (Log[x]^2*Log[3 + x^2/16])/(2*x^2))","A",1
4128,1,20,22,0.5092686,"\int \frac{-5+e^x (-3+x)+2 x}{-6+e^2 (3-x)+e^x (-3+x)-4 x+2 x^2+(-3+x) \log (3-x)} \, dx","Integrate[(-5 + E^x*(-3 + x) + 2*x)/(-6 + E^2*(3 - x) + E^x*(-3 + x) - 4*x + 2*x^2 + (-3 + x)*Log[3 - x]),x]","\log \left(2 x+e^x+\log (3-x)-e^2+2\right)","\log \left(-2 x-e^x-\log (3-x)+e^2-2\right)",1,"Log[2 - E^2 + E^x + 2*x + Log[3 - x]]","A",1
4129,1,14,13,0.0537368,"\int \left(-5+e^x (1+x)+\left(-5+e^x \left(1+3 x+x^2\right)\right) \log (x)\right) \, dx","Integrate[-5 + E^x*(1 + x) + (-5 + E^x*(1 + 3*x + x^2))*Log[x],x]","x \left(e^x x+e^x-5\right) \log (x)","x \left(e^x (x+1)-5\right) \log (x)",1,"x*(-5 + E^x + E^x*x)*Log[x]","A",1
4130,1,16,16,0.1087449,"\int \frac{-253-2 x-625 x^2+\left(253+4 x+1875 x^2\right) \log (x)}{\log ^2(x)} \, dx","Integrate[(-253 - 2*x - 625*x^2 + (253 + 4*x + 1875*x^2)*Log[x])/Log[x]^2,x]","\frac{x \left(625 x^2+2 x+253\right)}{\log (x)}","\frac{x \left(625 x^2+2 x+253\right)}{\log (x)}",1,"(x*(253 + 2*x + 625*x^2))/Log[x]","A",1
4131,1,23,26,0.4454304,"\int \frac{-3-9 x-6 x^2+12 x^3+\left(-1-3 x-2 x^2+4 x^3\right) \log (4)+\left(6 x+12 x^2+\left(2 x+4 x^2\right) \log (4)\right) \log (x)+\left(-6 x+6 x^2+\left(-2 x+2 x^2\right) \log (4)+(6 x+2 x \log (4)) \log (x)\right) \log (-1+x+\log (x))}{-2 x+2 x^3+\left(2 x+2 x^2\right) \log (x)+\left(-x+x^2+x \log (x)\right) \log (-1+x+\log (x))} \, dx","Integrate[(-3 - 9*x - 6*x^2 + 12*x^3 + (-1 - 3*x - 2*x^2 + 4*x^3)*Log[4] + (6*x + 12*x^2 + (2*x + 4*x^2)*Log[4])*Log[x] + (-6*x + 6*x^2 + (-2*x + 2*x^2)*Log[4] + (6*x + 2*x*Log[4])*Log[x])*Log[-1 + x + Log[x]])/(-2*x + 2*x^3 + (2*x + 2*x^2)*Log[x] + (-x + x^2 + x*Log[x])*Log[-1 + x + Log[x]]),x]","(3+\log (4)) (2 x-\log (2 x+\log (x+\log (x)-1)+2))","(3+\log (4)) \left(2 x-\log \left(x+\frac{1}{2} (\log (x+\log (x)-1)+2)\right)\right)",1,"(3 + Log[4])*(2*x - Log[2 + 2*x + Log[-1 + x + Log[x]]])","A",1
4132,1,30,25,0.1582444,"\int \frac{\exp \left(\frac{100+80 x^2-60 x^3-4 x^4+e^{2 x} x^4-24 x^5+x^6+6 x^7+x^8+e^x \left(20 x^2+8 x^4-6 x^5-2 x^6\right)}{x^4}\right) \left(-400-160 x^2+60 x^3+x^4-24 x^5+2 e^{2 x} x^5+2 x^6+18 x^7+4 x^8+e^x \left(-40 x^2+20 x^3+2 x^5-10 x^6-2 x^7\right)\right)}{x^4} \, dx","Integrate[(E^((100 + 80*x^2 - 60*x^3 - 4*x^4 + E^(2*x)*x^4 - 24*x^5 + x^6 + 6*x^7 + x^8 + E^x*(20*x^2 + 8*x^4 - 6*x^5 - 2*x^6))/x^4)*(-400 - 160*x^2 + 60*x^3 + x^4 - 24*x^5 + 2*E^(2*x)*x^5 + 2*x^6 + 18*x^7 + 4*x^8 + E^x*(-40*x^2 + 20*x^3 + 2*x^5 - 10*x^6 - 2*x^7)))/x^4,x]","e^{\frac{\left(x^4+3 x^3-\left(e^x+4\right) x^2-10\right)^2}{x^4}} x","e^{\left(\frac{10}{x^2}-((x+4) x)+x+e^x+4\right)^2} x+1",1,"E^((-10 - (4 + E^x)*x^2 + 3*x^3 + x^4)^2/x^4)*x","A",1
4133,1,48,27,0.1076582,"\int \frac{-11 x+e^{\sqrt[4]{e}} \left(11 x+12 x^2\right)+\left(2 x+e^{\sqrt[4]{e}} \left(-2 x-2 x^2\right)\right) \log \left(x+e^{\sqrt[4]{e}} \left(-x-x^2\right)\right)}{-25-5 x^2+e^{\sqrt[4]{e}} \left(25+25 x+5 x^2+5 x^3\right)+\left(10+x^2+e^{\sqrt[4]{e}} \left(-10-10 x-x^2-x^3\right)\right) \log \left(x+e^{\sqrt[4]{e}} \left(-x-x^2\right)\right)+\left(-1+e^{\sqrt[4]{e}} (1+x)\right) \log ^2\left(x+e^{\sqrt[4]{e}} \left(-x-x^2\right)\right)} \, dx","Integrate[(-11*x + E^E^(1/4)*(11*x + 12*x^2) + (2*x + E^E^(1/4)*(-2*x - 2*x^2))*Log[x + E^E^(1/4)*(-x - x^2)])/(-25 - 5*x^2 + E^E^(1/4)*(25 + 25*x + 5*x^2 + 5*x^3) + (10 + x^2 + E^E^(1/4)*(-10 - 10*x - x^2 - x^3))*Log[x + E^E^(1/4)*(-x - x^2)] + (-1 + E^E^(1/4)*(1 + x))*Log[x + E^E^(1/4)*(-x - x^2)]^2),x]","\log \left(x^2-\log \left(x-e^{\sqrt[4]{e}} x (x+1)\right)+5\right)-\log \left(5-\log \left(x-e^{\sqrt[4]{e}} x (x+1)\right)\right)","\log \left(\frac{x^2}{\log \left(x-e^{\sqrt[4]{e}} x (x+1)\right)-5}-1\right)",1,"-Log[5 - Log[x - E^E^(1/4)*x*(1 + x)]] + Log[5 + x^2 - Log[x - E^E^(1/4)*x*(1 + x)]]","A",1
4134,0,0,33,0.5987148,"\int \frac{e^{\frac{-15+3 x}{x+\log (x)}} \left(15 x^3+12 x^4+3 x^5+e^x \left(-15-12 x-x^3\right)+\left(-15 x^2-12 x^3-2 x^4\right) \log (15)+\left(9 x^4+e^x \left(-3 x-2 x^2\right)-7 x^3 \log (15)\right) \log (x)+\left(-e^x x+3 x^3-2 x^2 \log (15)\right) \log ^2(x)\right)}{2 x^3+4 x^2 \log (x)+2 x \log ^2(x)} \, dx","Integrate[(E^((-15 + 3*x)/(x + Log[x]))*(15*x^3 + 12*x^4 + 3*x^5 + E^x*(-15 - 12*x - x^3) + (-15*x^2 - 12*x^3 - 2*x^4)*Log[15] + (9*x^4 + E^x*(-3*x - 2*x^2) - 7*x^3*Log[15])*Log[x] + (-(E^x*x) + 3*x^3 - 2*x^2*Log[15])*Log[x]^2))/(2*x^3 + 4*x^2*Log[x] + 2*x*Log[x]^2),x]","\int \frac{e^{\frac{-15+3 x}{x+\log (x)}} \left(15 x^3+12 x^4+3 x^5+e^x \left(-15-12 x-x^3\right)+\left(-15 x^2-12 x^3-2 x^4\right) \log (15)+\left(9 x^4+e^x \left(-3 x-2 x^2\right)-7 x^3 \log (15)\right) \log (x)+\left(-e^x x+3 x^3-2 x^2 \log (15)\right) \log ^2(x)\right)}{2 x^3+4 x^2 \log (x)+2 x \log ^2(x)} \, dx","\frac{1}{2} e^{\frac{3 (x-5)}{x+\log (x)}} \left(x^2 (x-\log (15))-e^x\right)",1,"Integrate[(E^((-15 + 3*x)/(x + Log[x]))*(15*x^3 + 12*x^4 + 3*x^5 + E^x*(-15 - 12*x - x^3) + (-15*x^2 - 12*x^3 - 2*x^4)*Log[15] + (9*x^4 + E^x*(-3*x - 2*x^2) - 7*x^3*Log[15])*Log[x] + (-(E^x*x) + 3*x^3 - 2*x^2*Log[15])*Log[x]^2))/(2*x^3 + 4*x^2*Log[x] + 2*x*Log[x]^2), x]","F",-1
4135,1,23,28,0.0028089,"\int \frac{8+x-x^3-10 e^{10} x^{12}-x \log (x)}{x^3} \, dx","Integrate[(8 + x - x^3 - 10*E^10*x^12 - x*Log[x])/x^3,x]","-e^{10} x^{10}-\frac{4}{x^2}-x+\frac{\log (x)}{x}","-\frac{4}{x^2}-e^{5 \left(\log \left(x^2\right)+2\right)}-x+\frac{\log (x)}{x}+4",1,"-4/x^2 - x - E^10*x^10 + Log[x]/x","A",1
4136,1,27,28,0.0000894,"\int \left(30 x \log (2)+16 x \log (2) \log (4)+2 x \log (2) \log ^2(4)\right) \, dx","Integrate[30*x*Log[2] + 16*x*Log[2]*Log[4] + 2*x*Log[2]*Log[4]^2,x]","x^2 \log (2) \log ^2(4)+8 x^2 \log (2) \log (4)+15 x^2 \log (2)","\log (2) \left(x \left(-x+\frac{4}{x}+x (4+\log (4))^2\right)+e^4\right)-3",1,"15*x^2*Log[2] + 8*x^2*Log[2]*Log[4] + x^2*Log[2]*Log[4]^2","A",1
4137,1,34,25,1.0525869,"\int \frac{\left(810+385 x-10 x^2\right) \log (5)+\left(-810-395 x+5 x^2\right) \log (5) \log \left(\frac{1}{81} \left(81 x-x^2\right)\right)+(81-x) \log (5) \log ^2\left(\frac{1}{81} \left(81 x-x^2\right)\right)}{-4050 x^2-1975 x^3+25 x^4+\left(1620 x+790 x^2-10 x^3\right) \log (2+x) \log \left(\frac{1}{81} \left(81 x-x^2\right)\right)+\left(-162-79 x+x^2\right) \log ^2(2+x) \log ^2\left(\frac{1}{81} \left(81 x-x^2\right)\right)} \, dx","Integrate[((810 + 385*x - 10*x^2)*Log[5] + (-810 - 395*x + 5*x^2)*Log[5]*Log[(81*x - x^2)/81] + (81 - x)*Log[5]*Log[(81*x - x^2)/81]^2)/(-4050*x^2 - 1975*x^3 + 25*x^4 + (1620*x + 790*x^2 - 10*x^3)*Log[2 + x]*Log[(81*x - x^2)/81] + (-162 - 79*x + x^2)*Log[2 + x]^2*Log[(81*x - x^2)/81]^2),x]","\frac{\log (5) \log \left(x-\frac{x^2}{81}\right)}{\log (x+2) \log \left(x-\frac{x^2}{81}\right)-5 x}","\frac{\log (5)}{\log (x+2)-\frac{5 x}{\log \left(x-\frac{x^2}{81}\right)}}",1,"(Log[5]*Log[x - x^2/81])/(-5*x + Log[2 + x]*Log[x - x^2/81])","A",1
4138,1,51,33,0.2122322,"\int \frac{\exp \left(\frac{-5 e^{-1+x}-14 x-5 x^2+e^x \left(e^{-1+x}+3 x+x^2\right)+\left(5-e^x\right) \log \left(x^2\right)}{x}\right) \left(10+e^{-1+x} (5-5 x)-5 x^2+e^x \left(-2+4 x^2+x^3+e^{-1+x} (-1+2 x)\right)+\left(-5+e^x (1-x)\right) \log \left(x^2\right)\right)}{x^2} \, dx","Integrate[(E^((-5*E^(-1 + x) - 14*x - 5*x^2 + E^x*(E^(-1 + x) + 3*x + x^2) + (5 - E^x)*Log[x^2])/x)*(10 + E^(-1 + x)*(5 - 5*x) - 5*x^2 + E^x*(-2 + 4*x^2 + x^3 + E^(-1 + x)*(-1 + 2*x)) + (-5 + E^x*(1 - x))*Log[x^2]))/x^2,x]","\left(x^2\right)^{\frac{5-e^x}{x}} \exp \left(-5 x+e^x (x+3)-\frac{5 e^{x-1}}{x}+\frac{e^{2 x-1}}{x}-14\right)","e^{\left(5-e^x\right) \left(\frac{\log \left(x^2\right)-e^{x-1}}{x}-x-3\right)+1}",1,"E^(-14 - (5*E^(-1 + x))/x + E^(-1 + 2*x)/x - 5*x + E^x*(3 + x))*(x^2)^((5 - E^x)/x)","A",1
4139,1,19,23,0.1283084,"\int \frac{-15+10 e^x x^2}{3 x-3 x^2+2 e^x x^2} \, dx","Integrate[(-15 + 10*E^x*x^2)/(3*x - 3*x^2 + 2*E^x*x^2),x]","5 \left(\log \left(2 e^x x-3 x+3\right)-\log (x)\right)","5 \left(\log \left(\frac{2 e^x}{3}+\frac{1}{x}-1\right)-e^{e^4}\right)",1,"5*(-Log[x] + Log[3 - 3*x + 2*E^x*x])","A",1
4140,1,21,21,0.023953,"\int \left(\left(4-2 e^2\right) \log (x)+\left(8-e^2\right) \log ^2(x)+\left(6 \log (x)+3 \log ^2(x)\right) \log \left(9 x^2\right)\right) \, dx","Integrate[(4 - 2*E^2)*Log[x] + (8 - E^2)*Log[x]^2 + (6*Log[x] + 3*Log[x]^2)*Log[9*x^2],x]","x \log ^2(x) \left(3 \log \left(9 x^2\right)-e^2+2\right)","x \log ^2(x) \left(3 \log \left(9 x^2\right)-e^2+2\right)",1,"x*Log[x]^2*(2 - E^2 + 3*Log[9*x^2])","A",1
4141,1,21,24,0.3042114,"\int \frac{-2 x+e^{3 x+6 x^2+3 x^3} \left(1+3 x+12 x^2+9 x^3\right)}{e^{6 x+12 x^2+6 x^3} x^2-2 e^{3 x+6 x^2+3 x^3} x^3+x^4} \, dx","Integrate[(-2*x + E^(3*x + 6*x^2 + 3*x^3)*(1 + 3*x + 12*x^2 + 9*x^3))/(E^(6*x + 12*x^2 + 6*x^3)*x^2 - 2*E^(3*x + 6*x^2 + 3*x^3)*x^3 + x^4),x]","-\frac{1}{\left(e^{3 x (x+1)^2}-x\right) x}","\frac{1}{x \left(x-e^{x (x+1) (3 x+3)}\right)}-3",1,"-(1/((E^(3*x*(1 + x)^2) - x)*x))","A",1
4142,1,11,17,0.0013186,"\int (8+5 \log (4 x)) \, dx","Integrate[8 + 5*Log[4*x],x]","3 x+5 x \log (4 x)","2 \left(\frac{3 x}{2}+6\right)+5 x \log (4 x)",1,"3*x + 5*x*Log[4*x]","A",1
4143,1,7,12,0.0003948,"\int \frac{\log (3)}{x^2} \, dx","Integrate[Log[3]/x^2,x]","-\frac{\log (3)}{x}","\log \left(\frac{3^{-1/x}}{5}\right)",1,"-(Log[3]/x)","A",1
4144,1,64,30,0.174188,"\int \frac{25-260 x+130 x^2-15 x^3+e^4 \left(-5+40 x-10 x^2\right)+e^x \left(5+15 x-30 x^2+5 x^3\right)+\left(5 x-5 e^x x\right) \log \left(-\frac{4}{x}\right)}{x} \, dx","Integrate[(25 - 260*x + 130*x^2 - 15*x^3 + E^4*(-5 + 40*x - 10*x^2) + E^x*(5 + 15*x - 30*x^2 + 5*x^3) + (5*x - 5*E^x*x)*Log[-4/x])/x,x]","5 \left(-x^3+\left(13-e^4\right) x^2+e^x \left(x^2-8 x+11\right)+\left(8 e^4-51\right) x+\left(x-e^x\right) \log \left(-\frac{4}{x}\right)+\left(5-e^4\right) \log (x)\right)","5 \left(x-e^x+e^4-5\right) \left(-(4-x)^2+\log \left(-\frac{4}{x}\right)+5\right)",1,"5*((-51 + 8*E^4)*x + (13 - E^4)*x^2 - x^3 + E^x*(11 - 8*x + x^2) + (-E^x + x)*Log[-4/x] + (5 - E^4)*Log[x])","B",1
4145,1,34,32,1.6158491,"\int \frac{e^{\frac{1}{10} \left(-x+10 x^2\right)} \left(e^{2 x+\frac{1}{10} \left(x-10 x^2\right)} \left(-10+10 x+20 x^3+10 x^4+10 x^5\right)+e^{2 e^{\frac{1}{10} \left(-x+10 x^2\right)} x} \left(10 x^3-x^4+20 x^5\right)+e^{x+e^{\frac{1}{10} \left(-x+10 x^2\right)} x} \left(-10 x^2+x^3-30 x^4+x^5-20 x^6+e^{\frac{1}{10} \left(x-10 x^2\right)} \left(10 x-10 x^2-10 x^3-10 x^4\right)\right)\right)}{5 x^3} \, dx","Integrate[(E^((-x + 10*x^2)/10)*(E^(2*x + (x - 10*x^2)/10)*(-10 + 10*x + 20*x^3 + 10*x^4 + 10*x^5) + E^(2*E^((-x + 10*x^2)/10)*x)*(10*x^3 - x^4 + 20*x^5) + E^(x + E^((-x + 10*x^2)/10)*x)*(-10*x^2 + x^3 - 30*x^4 + x^5 - 20*x^6 + E^((x - 10*x^2)/10)*(10*x - 10*x^2 - 10*x^3 - 10*x^4))))/(5*x^3),x]","\frac{\left(e^{e^{x^2-\frac{x}{10}} x} x-e^x \left(x^2+1\right)\right)^2}{x^2}","\left(e^{e^{x^2-\frac{x}{10}} x}-e^x x-\frac{e^x}{x}\right)^2",1,"(E^(E^(-1/10*x + x^2)*x)*x - E^x*(1 + x^2))^2/x^2","A",1
4146,1,40,25,0.3722621,"\int \frac{-80 x^2+80 x^3-23 x^4+2 x^5+\left(50-20 x+2 x^2\right) \log (x)+\left(-25+10 x-x^2\right) \log ^2(x)}{-80 x^3+56 x^4-13 x^5+x^6+\left(25 x-10 x^2+x^3\right) \log ^2(x)} \, dx","Integrate[(-80*x^2 + 80*x^3 - 23*x^4 + 2*x^5 + (50 - 20*x + 2*x^2)*Log[x] + (-25 + 10*x - x^2)*Log[x]^2)/(-80*x^3 + 56*x^4 - 13*x^5 + x^6 + (25*x - 10*x^2 + x^3)*Log[x]^2),x]","\log \left(x^4-8 x^3+16 x^2+x \log ^2(x)-5 \log ^2(x)\right)-\log (5-x)-\log (x)","\log \left((x-3) x-\frac{x}{5-x}+\frac{\log ^2(x)}{x}\right)",1,"-Log[5 - x] - Log[x] + Log[16*x^2 - 8*x^3 + x^4 - 5*Log[x]^2 + x*Log[x]^2]","A",1
4147,1,15,17,0.057968,"\int \frac{e^{\frac{-150-x^4}{5 x^2}} \left(300-2 x^4\right)}{5 x^3} \, dx","Integrate[(E^((-150 - x^4)/(5*x^2))*(300 - 2*x^4))/(5*x^3),x]","e^{-\frac{x^2}{5}-\frac{30}{x^2}}","e^{\frac{1}{5} \left(-x^2-\frac{150}{x^2}\right)}",1,"E^(-30/x^2 - x^2/5)","A",1
4148,1,14,26,0.0048937,"\int \frac{5 \log (5)+(5+x) \log ^2(x)}{x \log ^2(x)} \, dx","Integrate[(5*Log[5] + (5 + x)*Log[x]^2)/(x*Log[x]^2),x]","x+5 \log (x)-\frac{5 \log (5)}{\log (x)}","x-5 \left(-x+\log \left(\frac{e^x}{x}\right)+\frac{\log (5)}{\log (x)}-\frac{11}{5}\right)",1,"x - (5*Log[5])/Log[x] + 5*Log[x]","A",1
4149,1,18,18,0.006734,"\int \left(-e^{3+e^5+x}+x^3\right) \, dx","Integrate[-E^(3 + E^5 + x) + x^3,x]","\frac{x^4}{4}-e^{x+e^5+3}","\frac{x^4}{4}-e^{x+e^5+3}",1,"-E^(3 + E^5 + x) + x^4/4","A",1
4150,1,38,28,0.1601791,"\int \frac{30 x^3-30 x^4+e^{e^x} \left(-9-5 x^2+e^x \left(9 x-9 x^2+5 x^3-5 x^4\right)\right)+\left(-27 x^2-15 x^4\right) \log \left(\frac{1}{9} \left(45+25 x^2\right)\right)}{9 x^2+5 x^4} \, dx","Integrate[(30*x^3 - 30*x^4 + E^E^x*(-9 - 5*x^2 + E^x*(9*x - 9*x^2 + 5*x^3 - 5*x^4)) + (-27*x^2 - 15*x^4)*Log[(45 + 25*x^2)/9])/(9*x^2 + 5*x^4),x]","-3 x \log \left(\frac{25 x^2}{9}+5\right)+3 \log \left(5 x^2+9\right)-e^{e^x} \left(1-\frac{1}{x}\right)","\frac{(1-x) \left(3 x \log \left(\frac{25 x^2}{9}+5\right)+e^{e^x}\right)}{x}",1,"-(E^E^x*(1 - x^(-1))) - 3*x*Log[5 + (25*x^2)/9] + 3*Log[9 + 5*x^2]","A",1
4151,1,9,14,0.0091951,"\int 2 e^{1+e^{1+2 x}+2 x} \, dx","Integrate[2*E^(1 + E^(1 + 2*x) + 2*x),x]","e^{e^{2 x+1}}","e^{e^{2 x+1}}-\log (3)",1,"E^E^(1 + 2*x)","A",1
4152,1,25,25,0.3715353,"\int \frac{4 x^2+e^{625 x^6} \left(2-7500 x^6\right)}{3 e^{1250 x^6}+12 x^4+12 x^3 \log (4)+3 x^2 \log ^2(4)+e^{625 x^6} \left(-12 x^2-6 x \log (4)\right)} \, dx","Integrate[(4*x^2 + E^(625*x^6)*(2 - 7500*x^6))/(3*E^(1250*x^6) + 12*x^4 + 12*x^3*Log[4] + 3*x^2*Log[4]^2 + E^(625*x^6)*(-12*x^2 - 6*x*Log[4])),x]","\frac{2 x}{3 \left(e^{625 x^6}-2 x^2-x \log (4)\right)}","\frac{2}{3 \left(\frac{e^{625 x^6}}{x}-2 x-\log (4)\right)}",1,"(2*x)/(3*(E^(625*x^6) - 2*x^2 - x*Log[4]))","A",1
4153,1,67,28,0.1799071,"\int \frac{8+14 x^2+2 e^{2 x} x^2-12 x^3+2 x^4+e^x \left(-8+16 x^2-4 x^3\right)+\left(-18+12 x+7 x^2-6 x^3+x^4+e^{2 x} \left(-2+x^2\right)+e^x \left(-12+4 x+6 x^2-2 x^3\right)\right) \log \left(-2+x^2\right)}{-18+12 x+7 x^2-6 x^3+x^4+e^{2 x} \left(-2+x^2\right)+e^x \left(-12+4 x+6 x^2-2 x^3\right)} \, dx","Integrate[(8 + 14*x^2 + 2*E^(2*x)*x^2 - 12*x^3 + 2*x^4 + E^x*(-8 + 16*x^2 - 4*x^3) + (-18 + 12*x + 7*x^2 - 6*x^3 + x^4 + E^(2*x)*(-2 + x^2) + E^x*(-12 + 4*x + 6*x^2 - 2*x^3))*Log[-2 + x^2])/(-18 + 12*x + 7*x^2 - 6*x^3 + x^4 + E^(2*x)*(-2 + x^2) + E^x*(-12 + 4*x + 6*x^2 - 2*x^3)),x]","x \log \left(x^2-2\right)-\frac{4}{-x+e^x+3}+\sqrt{2} \log \left(\sqrt{2}-x\right)-\sqrt{2} \log \left(x+\sqrt{2}\right)+2 \sqrt{2} \tanh ^{-1}\left(\frac{x}{\sqrt{2}}\right)","x \left(\log \left(x^2-2\right)+\frac{4}{x-\left(-x+e^x+4\right) x}\right)+5",1,"-4/(3 + E^x - x) + 2*Sqrt[2]*ArcTanh[x/Sqrt[2]] + Sqrt[2]*Log[Sqrt[2] - x] - Sqrt[2]*Log[Sqrt[2] + x] + x*Log[-2 + x^2]","B",1
4154,1,26,28,0.3572688,"\int \frac{\left(200 x-80 x^2+8 x^3\right) \log \left(\frac{25}{x^2}\right)+\left(400 x-160 x^2+16 x^3+\left(200 x-120 x^2+16 x^3\right) \log \left(\frac{25}{x^2}\right)\right) \log \left(\frac{12}{x}\right)}{\log ^3\left(\frac{25}{x^2}\right) \log ^3\left(\frac{12}{x}\right)} \, dx","Integrate[((200*x - 80*x^2 + 8*x^3)*Log[25/x^2] + (400*x - 160*x^2 + 16*x^3 + (200*x - 120*x^2 + 16*x^3)*Log[25/x^2])*Log[12/x])/(Log[25/x^2]^3*Log[12/x]^3),x]","\frac{4 (x-5)^2 x^2}{\log ^2\left(\frac{25}{x^2}\right) \log ^2\left(\frac{12}{x}\right)}","\frac{4 (5-x)^2 x^2}{\log ^2\left(\frac{25}{x^2}\right) \log ^2\left(\frac{12}{x}\right)}",1,"(4*(-5 + x)^2*x^2)/(Log[25/x^2]^2*Log[12/x]^2)","A",1
4155,1,114,29,0.0743932,"\int \frac{10 x^2+10 x^2 \log (x)+(-8-10 x) \log ^2(x)+8 \log (x) \log \left(e^{\left.-\frac{2}{5}\right/x} x^2\right)+10 x \log ^2\left(e^{\left.-\frac{2}{5}\right/x} x^2\right)}{125 x^2} \, dx","Integrate[(10*x^2 + 10*x^2*Log[x] + (-8 - 10*x)*Log[x]^2 + 8*Log[x]*Log[x^2/E^(2/(5*x))] + 10*x*Log[x^2/E^(2/(5*x))]^2)/(125*x^2),x]","\frac{6 \left(5 x \log ^2\left(x^2\right)+5 x \left(\log ^2\left(e^{\left.-\frac{2}{5}\right/x} x^2\right)+x\right)-2 \left(5 x \log \left(e^{\left.-\frac{2}{5}\right/x} x^2\right)+2\right) \log \left(x^2\right)\right) \log (x)+\log ^2\left(x^2\right) \left(-10 x \log \left(x^2\right)+15 x \log \left(e^{\left.-\frac{2}{5}\right/x} x^2\right)+6\right)-10 x \log ^3(x)+24 \log ^2(x)}{375 x}","\frac{2}{25} \log (x) \left(\left(\log \left(e^{\left.-\frac{2}{5}\right/x} x^2\right)-\log (x)\right)^2+x\right)",1,"(24*Log[x]^2 - 10*x*Log[x]^3 + Log[x^2]^2*(6 - 10*x*Log[x^2] + 15*x*Log[x^2/E^(2/(5*x))]) + 6*Log[x]*(5*x*Log[x^2]^2 - 2*Log[x^2]*(2 + 5*x*Log[x^2/E^(2/(5*x))]) + 5*x*(x + Log[x^2/E^(2/(5*x))]^2)))/(375*x)","B",1
4156,1,27,22,0.0118734,"\int \frac{-26-10 x+13 x^2+5 x^3+e^4 \left(13 x+10 x^2\right)}{e^4 \left(13 x^2+5 x^3\right)} \, dx","Integrate[(-26 - 10*x + 13*x^2 + 5*x^3 + E^4*(13*x + 10*x^2))/(E^4*(13*x^2 + 5*x^3)),x]","\frac{x+\frac{2}{x}+e^4 \log (x)+e^4 \log (5 x+13)}{e^4}","\frac{x+\frac{2}{x}+4}{e^4}+\log (x (5 x+13))+3",1,"(2/x + x + E^4*Log[x] + E^4*Log[13 + 5*x])/E^4","A",1
4157,0,0,24,0.8450386,"\int \frac{\exp \left(\frac{-10-2 x+\left(-3 x-x^2\right) \log (5)}{(5+x) \log (5)}\right) \left(15+10 x+x^2\right)}{25+10 x+x^2} \, dx","Integrate[(E^((-10 - 2*x + (-3*x - x^2)*Log[5])/((5 + x)*Log[5]))*(15 + 10*x + x^2))/(25 + 10*x + x^2),x]","\int \frac{\exp \left(\frac{-10-2 x+\left(-3 x-x^2\right) \log (5)}{(5+x) \log (5)}\right) \left(15+10 x+x^2\right)}{25+10 x+x^2} \, dx","1-e^{\frac{2 x}{x+5}-x-\frac{2}{\log (5)}}",1,"Integrate[(E^((-10 - 2*x + (-3*x - x^2)*Log[5])/((5 + x)*Log[5]))*(15 + 10*x + x^2))/(25 + 10*x + x^2), x]","F",-1
4158,1,13,15,0.037817,"\int \frac{5}{12} e^{-3+\frac{5}{12} e^{e^{-3+x}}+e^{-3+x}+x} \, dx","Integrate[(5*E^(-3 + (5*E^E^(-3 + x))/12 + E^(-3 + x) + x))/12,x]","e^{\frac{5 e^{e^{x-3}}}{12}}","e^{\frac{5 e^{e^{x-3}}}{12}}+6",1,"E^((5*E^E^(-3 + x))/12)","A",1
4159,1,23,23,0.5522758,"\int \frac{e^{-3-e^x+e^{\frac{-3-e^3 x}{e^3 x}}-x} \left(3 e^{\frac{-3-e^3 x}{e^3 x}}-e^3 x^2-e^{3+x} x^2\right)}{x^2} \, dx","Integrate[(E^(-3 - E^x + E^((-3 - E^3*x)/(E^3*x)) - x)*(3*E^((-3 - E^3*x)/(E^3*x)) - E^3*x^2 - E^(3 + x)*x^2))/x^2,x]","e^{-x+e^{-\frac{3}{e^3 x}-1}-e^x}","e^{-x+e^{-\frac{3}{e^3 x}-1}-e^x}",1,"E^(E^(-1 - 3/(E^3*x)) - E^x - x)","A",1
4160,1,24,22,0.1089173,"\int \frac{1}{2} \left(e^x \left(16+e^4 \left(6+x^4\right)\right)+e^{4+x} \left(6+6 x+5 x^4+x^5\right) \log (x)\right) \, dx","Integrate[(E^x*(16 + E^4*(6 + x^4)) + E^(4 + x)*(6 + 6*x + 5*x^4 + x^5)*Log[x])/2,x]","\frac{1}{2} \left(e^{x+4} x \left(x^4+6\right) \log (x)+16 e^x\right)","2 e^x \left(\frac{1}{4} e^4 x \left(x^4+6\right) \log (x)+4\right)",1,"(16*E^x + E^(4 + x)*x*(6 + x^4)*Log[x])/2","A",1
4161,1,26,27,1.5391932,"\int \frac{e^{-\frac{5 x^2}{5 e^{2 x}-6 e^x x}} \left(100 e^{3 x}-240 e^{2 x} x+120 x^3-120 x^4+e^x \left(-56 x^2+200 x^3\right)\right)}{25 e^{3 x}-60 e^{2 x} x+36 e^x x^2} \, dx","Integrate[(100*E^(3*x) - 240*E^(2*x)*x + 120*x^3 - 120*x^4 + E^x*(-56*x^2 + 200*x^3))/(E^((5*x^2)/(5*E^(2*x) - 6*E^x*x))*(25*E^(3*x) - 60*E^(2*x)*x + 36*E^x*x^2)),x]","4 e^{-\frac{5 e^{-x} x^2}{5 e^x-6 x}} x","4 e^{\frac{e^{-x} x^2}{\frac{6 x}{5}-e^x}} x",1,"(4*x)/E^((5*x^2)/(E^x*(5*E^x - 6*x)))","A",1
4162,1,21,23,0.2172516,"\int \frac{e^{3 x+9 e^{4+x} x} \left(2+6 x+3 x^2+e^{4+x} \left(18 x+27 x^2+9 x^3\right)\right)}{4+4 x+x^2} \, dx","Integrate[(E^(3*x + 9*E^(4 + x)*x)*(2 + 6*x + 3*x^2 + E^(4 + x)*(18*x + 27*x^2 + 9*x^3)))/(4 + 4*x + x^2),x]","\frac{e^{9 e^{x+4} x+3 x} x}{x+2}","\frac{e^{3 \left(3 e^{x+4} x+x\right)} x}{x+2}+3",1,"(E^(3*x + 9*E^(4 + x)*x)*x)/(2 + x)","A",1
4163,1,53,37,0.6111942,"\int \frac{-4 e^{10 x}-80 e^{8 x} x-640 e^{6 x} x^2-2560 e^{4 x} x^3-5120 e^{2 x} x^4-4096 x^5+\exp \left(\frac{65536 x^2+25 e^{8 x} x^2+400 e^{6 x} x^3-40960 x^4+6400 x^6+e^{4 x} \left(-2560 x^2+2400 x^4\right)+e^{2 x} \left(-20480 x^3+6400 x^5\right)}{e^{8 x}+16 e^{6 x} x+96 e^{4 x} x^2+256 e^{2 x} x^3+256 x^4}\right) \left(-1572864 x^4+6144 x^6+153600 x^8+e^{10 x} \left(6 x+150 x^3\right)+e^{8 x} \left(120 x^2+3000 x^4\right)+e^{6 x} \left(-14400 x^3+30720 x^4+24000 x^5\right)+e^{4 x} \left(-119040 x^4+245760 x^5+96000 x^6\right)+e^{2 x} \left(393216 x^3-1572864 x^4-238080 x^5+491520 x^6+192000 x^7\right)\right)}{3 e^{10 x}+60 e^{8 x} x+480 e^{6 x} x^2+1920 e^{4 x} x^3+3840 e^{2 x} x^4+3072 x^5} \, dx","Integrate[(-4*E^(10*x) - 80*E^(8*x)*x - 640*E^(6*x)*x^2 - 2560*E^(4*x)*x^3 - 5120*E^(2*x)*x^4 - 4096*x^5 + E^((65536*x^2 + 25*E^(8*x)*x^2 + 400*E^(6*x)*x^3 - 40960*x^4 + 6400*x^6 + E^(4*x)*(-2560*x^2 + 2400*x^4) + E^(2*x)*(-20480*x^3 + 6400*x^5))/(E^(8*x) + 16*E^(6*x)*x + 96*E^(4*x)*x^2 + 256*E^(2*x)*x^3 + 256*x^4))*(-1572864*x^4 + 6144*x^6 + 153600*x^8 + E^(10*x)*(6*x + 150*x^3) + E^(8*x)*(120*x^2 + 3000*x^4) + E^(6*x)*(-14400*x^3 + 30720*x^4 + 24000*x^5) + E^(4*x)*(-119040*x^4 + 245760*x^5 + 96000*x^6) + E^(2*x)*(393216*x^3 - 1572864*x^4 - 238080*x^5 + 491520*x^6 + 192000*x^7)))/(3*E^(10*x) + 60*E^(8*x)*x + 480*E^(6*x)*x^2 + 1920*E^(4*x)*x^3 + 3840*E^(2*x)*x^4 + 3072*x^5),x]","\frac{1}{3} \left(3 x^2 \exp \left(-\frac{2560 x^2}{\left(4 x+e^{2 x}\right)^2}+\frac{65536 x^2}{\left(4 x+e^{2 x}\right)^4}+25 x^2\right)-4 x\right)","\left(e^{x^2 \left(\frac{16}{\left(x+\frac{e^{2 x}}{4}\right)^2}-5\right)^2}-\frac{4}{3 x}\right) x^2",1,"(-4*x + 3*E^(25*x^2 + (65536*x^2)/(E^(2*x) + 4*x)^4 - (2560*x^2)/(E^(2*x) + 4*x)^2)*x^2)/3","A",1
4164,1,20,22,0.0454777,"\int \frac{x^2+e^{\frac{-2-3 x+5 x^2+x^3}{x^2}} \left(-4-3 x-x^2-x^3\right)}{x^2} \, dx","Integrate[(x^2 + E^((-2 - 3*x + 5*x^2 + x^3)/x^2)*(-4 - 3*x - x^2 - x^3))/x^2,x]","x-e^{-\frac{2}{x^2}+x-\frac{3}{x}+5} x","-e^{\frac{(x-2) (x+1)^2}{x^2}+5} x+x+14",1,"x - E^(5 - 2/x^2 - 3/x + x)*x","A",1
4165,1,18,23,0.0206731,"\int \frac{10 x^2-5 x^4+\left(40 x-40 x^3\right) \log \left(4+4 \log (5)+\log ^2(5)\right)+\left(80-80 x^2\right) \log ^2\left(4+4 \log (5)+\log ^2(5)\right)}{x^4+8 x^3 \log \left(4+4 \log (5)+\log ^2(5)\right)+16 x^2 \log ^2\left(4+4 \log (5)+\log ^2(5)\right)} \, dx","Integrate[(10*x^2 - 5*x^4 + (40*x - 40*x^3)*Log[4 + 4*Log[5] + Log[5]^2] + (80 - 80*x^2)*Log[4 + 4*Log[5] + Log[5]^2]^2)/(x^4 + 8*x^3*Log[4 + 4*Log[5] + Log[5]^2] + 16*x^2*Log[4 + 4*Log[5] + Log[5]^2]^2),x]","-5 \left(x+\frac{1}{x}+\frac{1}{x+8 \log (2+\log (5))}\right)","-5 x-\frac{5}{x}-\frac{5}{x+8 \log (2+\log (5))}+25",1,"-5*(x^(-1) + x + (x + 8*Log[2 + Log[5]])^(-1))","A",1
4166,1,25,23,0.4969218,"\int \frac{-36+e^{x+x^2 \log (3 x)} \left(-16+16 x+16 x^2+32 x^2 \log (3 x)\right)}{81+16 e^{2 x+2 x^2 \log (3 x)}+e^{x+x^2 \log (3 x)} (72-32 x)-72 x+16 x^2} \, dx","Integrate[(-36 + E^(x + x^2*Log[3*x])*(-16 + 16*x + 16*x^2 + 32*x^2*Log[3*x]))/(81 + 16*E^(2*x + 2*x^2*Log[3*x]) + E^(x + x^2*Log[3*x])*(72 - 32*x) - 72*x + 16*x^2),x]","-\frac{4 x}{4\ 3^{x^2} e^x x^{x^2}-4 x+9}","\frac{x}{-e^{x^2 \log (3 x)+x}+x-\frac{9}{4}}",1,"(-4*x)/(9 - 4*x + 4*3^x^2*E^x*x^x^2)","A",1
4167,1,26,25,0.0201674,"\int \frac{x^3-10 x^4-15 x^5+e^{\frac{e^2}{x^4}} \left(-20 e^2+10 x^4\right)}{x^3} \, dx","Integrate[(x^3 - 10*x^4 - 15*x^5 + E^(E^2/x^4)*(-20*E^2 + 10*x^4))/x^3,x]","-5 x^3-5 x^2+5 e^{\frac{e^2}{x^4}} x^2+x","5 \left(e^{\frac{e^2}{x^4}} x-x^2-x\right) x+x",1,"x - 5*x^2 + 5*E^(E^2/x^4)*x^2 - 5*x^3","A",1
4168,1,27,30,0.0064379,"\int \frac{-i \pi -e^2 \log (3)-\log \left(4 e^2-4 \log (4)\right)}{x^2} \, dx","Integrate[((-I)*Pi - E^2*Log[3] - Log[4*E^2 - 4*Log[4]])/x^2,x]","\frac{i \pi +e^2 \log (3)+\log \left(4 \left(e^2-\log (4)\right)\right)}{x}","\frac{-x+i \pi +\log \left(-4 \left(\log (4)-e^2\right)\right)+e^2 \log (3)}{x}",1,"(I*Pi + E^2*Log[3] + Log[4*(E^2 - Log[4])])/x","A",1
4169,1,60,25,0.4989783,"\int \frac{-1+e^{1250-1000 x+300 x^2-40 x^3+2 x^4} \left(2000-2200 x+840 x^2-136 x^3+8 x^4\right)}{-36+e^{1250-1000 x+300 x^2-40 x^3+2 x^4} (24-12 x)+18 x+e^{2500-2000 x+600 x^2-80 x^3+4 x^4} (-4+2 x)+\left(-24+e^{1250-1000 x+300 x^2-40 x^3+2 x^4} (8-4 x)+12 x\right) \log (-2+x)+(-4+2 x) \log ^2(-2+x)} \, dx","Integrate[(-1 + E^(1250 - 1000*x + 300*x^2 - 40*x^3 + 2*x^4)*(2000 - 2200*x + 840*x^2 - 136*x^3 + 8*x^4))/(-36 + E^(1250 - 1000*x + 300*x^2 - 40*x^3 + 2*x^4)*(24 - 12*x) + 18*x + E^(2500 - 2000*x + 600*x^2 - 80*x^3 + 4*x^4)*(-4 + 2*x) + (-24 + E^(1250 - 1000*x + 300*x^2 - 40*x^3 + 2*x^4)*(8 - 4*x) + 12*x)*Log[-2 + x] + (-4 + 2*x)*Log[-2 + x]^2),x]","\frac{e^{40 x \left(x^2+25\right)}}{2 \left(3 e^{40 x \left(x^2+25\right)}+e^{40 x \left(x^2+25\right)} \log (x-2)-e^{2 \left(x^4+150 x^2+625\right)}\right)}","\frac{1}{2 \left(-e^{2 (5-x)^4}+\log (x-2)+3\right)}",1,"E^(40*x*(25 + x^2))/(2*(3*E^(40*x*(25 + x^2)) - E^(2*(625 + 150*x^2 + x^4)) + E^(40*x*(25 + x^2))*Log[-2 + x]))","B",1
4170,1,24,25,1.1417679,"\int \frac{\exp \left(e^{e^{\frac{1}{2} (-3 x+2 \log (-x+\log (3)))}}+e^{\frac{1}{2} (-3 x+2 \log (-x+\log (3)))}+\frac{1}{2} (-3 x+2 \log (-x+\log (3)))\right) (-2+3 x-3 \log (3))}{-2 x+2 \log (3)} \, dx","Integrate[(E^(E^E^((-3*x + 2*Log[-x + Log[3]])/2) + E^((-3*x + 2*Log[-x + Log[3]])/2) + (-3*x + 2*Log[-x + Log[3]])/2)*(-2 + 3*x - 3*Log[3]))/(-2*x + 2*Log[3]),x]","e^{3^{e^{-3 x/2}} e^{-e^{-3 x/2} x}}","e^{e^{e^{-3 x/2} x \left(\frac{\log (3)}{x}-1\right)}}+\frac{4}{3}",1,"E^(3^E^((-3*x)/2)/E^(x/E^((3*x)/2)))","A",1
4171,1,25,19,0.4500075,"\int \frac{e^{4 x \log (5) \log \left(e^{3 x}-x\right)} \left(-100 x \log (5)+300 e^{3 x} x \log (5)+\left(100 e^{3 x} \log (5)-100 x \log (5)\right) \log \left(e^{3 x}-x\right)\right)}{e^{3 x}-x} \, dx","Integrate[(E^(4*x*Log[5]*Log[E^(3*x) - x])*(-100*x*Log[5] + 300*E^(3*x)*x*Log[5] + (100*E^(3*x)*Log[5] - 100*x*Log[5])*Log[E^(3*x) - x]))/(E^(3*x) - x),x]","\frac{4 \log (5) 5^{4 x \log \left(e^{3 x}-x\right)+2}}{\log (625)}","25 e^{4 x \log (5) \log \left(e^{3 x}-x\right)}",1,"(4*5^(2 + 4*x*Log[E^(3*x) - x])*Log[5])/Log[625]","A",1
4172,1,14,20,0.0697276,"\int \frac{(20+180 x) \log (x)+(10-90 x) \log ^2(x)}{1+27 x+243 x^2+729 x^3} \, dx","Integrate[((20 + 180*x)*Log[x] + (10 - 90*x)*Log[x]^2)/(1 + 27*x + 243*x^2 + 729*x^3),x]","\frac{10 x \log ^2(x)}{(9 x+1)^2}","2 \left(\frac{5 \log ^2(x)}{\left(\frac{1}{x}+9\right)^2 x}+1\right)",1,"(10*x*Log[x]^2)/(1 + 9*x)^2","A",1
4173,1,18,19,0.0162115,"\int \frac{-5+96 x \log ^3\left(\frac{16}{e x^3}\right)}{x^2} \, dx","Integrate[(-5 + 96*x*Log[16/(E*x^3)]^3)/x^2,x]","\frac{5}{x}-8 \left(\log \left(\frac{1}{x^3}\right)-1+\log (16)\right)^4","\frac{5}{x}-8 \log ^4\left(\frac{16}{e x^3}\right)",1,"5/x - 8*(-1 + Log[16] + Log[x^(-3)])^4","A",1
4174,1,19,24,0.0237407,"\int \frac{-45+x^2+2 x^3+4 e^{10+2 x^2} x^3}{x^2} \, dx","Integrate[(-45 + x^2 + 2*x^3 + 4*E^(10 + 2*x^2)*x^3)/x^2,x]","x^2+e^{2 x^2+10}+x+\frac{45}{x}","x^2+e^{2 x^2+10}+x+\frac{9 (5-x)}{x}",1,"E^(10 + 2*x^2) + 45/x + x + x^2","A",1
4175,1,31,27,0.0845685,"\int \frac{\exp \left(\frac{-50 x-2 x^2}{-43-53 x-2 x^2+e^x \left(50 x+2 x^2\right)}\right) \left(2150+172 x+6 x^2+e^x \left(2500 x^2+200 x^3+4 x^4\right)\right)}{1849+4558 x+2981 x^2+212 x^3+4 x^4+e^x \left(-4300 x-5472 x^2-412 x^3-8 x^4\right)+e^{2 x} \left(2500 x^2+200 x^3+4 x^4\right)} \, dx","Integrate[(E^((-50*x - 2*x^2)/(-43 - 53*x - 2*x^2 + E^x*(50*x + 2*x^2)))*(2150 + 172*x + 6*x^2 + E^x*(2500*x^2 + 200*x^3 + 4*x^4)))/(1849 + 4558*x + 2981*x^2 + 212*x^3 + 4*x^4 + E^x*(-4300*x - 5472*x^2 - 412*x^3 - 8*x^4) + E^(2*x)*(2500*x^2 + 200*x^3 + 4*x^4)),x]","\exp \left(-\frac{2 x (x+25)}{2 \left(e^x-1\right) x^2+\left(50 e^x-53\right) x-43}\right)","e^{\frac{x}{\frac{x-7}{2 (x+25)}-e^x x+x+1}}",1,"E^((-2*x*(25 + x))/(-43 + (-53 + 50*E^x)*x + 2*(-1 + E^x)*x^2))","A",1
4176,1,24,24,0.0108047,"\int \frac{20-23 x^2+2 x^4+e^{12} \left(-8 x+2 x^3\right)}{-4 x+x^3} \, dx","Integrate[(20 - 23*x^2 + 2*x^4 + E^12*(-8*x + 2*x^3))/(-4*x + x^3),x]","x^2-5 \log \left(4-x^2\right)+2 e^{12} x-5 \log (x)","5 \left(4-\log \left(x \left(8-2 x^2\right)\right)\right)+\left(x+e^{12}\right)^2",1,"2*E^12*x + x^2 - 5*Log[x] - 5*Log[4 - x^2]","A",1
4177,1,16,18,0.3051759,"\int \frac{e^{-\frac{180 x^3}{(-1+x) \log (x)}} \left(-180 x^2+180 x^3+\left(540 x^2-360 x^3\right) \log (x)\right)}{\left(1-2 x+x^2\right) \log ^2(x)} \, dx","Integrate[(-180*x^2 + 180*x^3 + (540*x^2 - 360*x^3)*Log[x])/(E^((180*x^3)/((-1 + x)*Log[x]))*(1 - 2*x + x^2)*Log[x]^2),x]","e^{-\frac{180 x^3}{(x-1) \log (x)}}","e^{\frac{180 x^3}{(1-x) \log (x)}}",1,"E^((-180*x^3)/((-1 + x)*Log[x]))","A",1
4178,1,32,19,0.0558896,"\int \left(-3+2 e^{3+2 e^{e^{3+x}}+e^{3+x}+x}+2 x+e^{e^{e^{3+x}}} \left(2+e^{3+e^{3+x}+x} (-4+2 x)\right)\right) \, dx","Integrate[-3 + 2*E^(3 + 2*E^E^(3 + x) + E^(3 + x) + x) + 2*x + E^E^E^(3 + x)*(2 + E^(3 + E^(3 + x) + x)*(-4 + 2*x)),x]","x^2-3 x+e^{2 e^{e^{x+3}}}+2 e^{e^{e^{x+3}}} (x-2)","\left(x+e^{e^{e^{x+3}}}-2\right)^2+x+2+\log (5)",1,"E^(2*E^E^(3 + x)) + 2*E^E^E^(3 + x)*(-2 + x) - 3*x + x^2","A",1
4179,1,6,12,0.000974,"\int \frac{1}{-1-x} \, dx","Integrate[(-1 - x)^(-1),x]","-\log (x+1)","e^{3/2}-\log (x+1)",1,"-Log[1 + x]","A",1
4180,1,23,25,0.0147218,"\int \frac{-x^2+e^x (-12+12 x)-2 \log (4)}{3 x^2} \, dx","Integrate[(-x^2 + E^x*(-12 + 12*x) - 2*Log[4])/(3*x^2),x]","-\frac{x}{3}+\frac{4 e^x}{x}+\frac{2 \log (4)}{3 x}","\frac{4 e^x}{x}+\frac{(x+2) (\log (4)-x)}{3 x}",1,"(4*E^x)/x - x/3 + (2*Log[4])/(3*x)","A",1
4181,0,0,32,1.892198,"\int \frac{e^{2 e^{\frac{-5+10 x}{2 x}}} \left(-2 x-5 e^{\frac{-5+10 x}{2 x}} \log (4)+5 e^{\frac{-5+10 x}{2 x}} \log \left(\frac{x}{5}\right)\right)+e^{e^{\frac{-5+10 x}{2 x}}} \left(-30 x \log (4)-75 e^{\frac{-5+10 x}{2 x}} \log ^2(4)+\left(30 x+150 e^{\frac{-5+10 x}{2 x}} \log (4)\right) \log \left(\frac{x}{5}\right)-75 e^{\frac{-5+10 x}{2 x}} \log ^2\left(\frac{x}{5}\right)\right)}{-x^2 \log ^3(4)+3 x^2 \log ^2(4) \log \left(\frac{x}{5}\right)-3 x^2 \log (4) \log ^2\left(\frac{x}{5}\right)+x^2 \log ^3\left(\frac{x}{5}\right)} \, dx","Integrate[(E^(2*E^((-5 + 10*x)/(2*x)))*(-2*x - 5*E^((-5 + 10*x)/(2*x))*Log[4] + 5*E^((-5 + 10*x)/(2*x))*Log[x/5]) + E^E^((-5 + 10*x)/(2*x))*(-30*x*Log[4] - 75*E^((-5 + 10*x)/(2*x))*Log[4]^2 + (30*x + 150*E^((-5 + 10*x)/(2*x))*Log[4])*Log[x/5] - 75*E^((-5 + 10*x)/(2*x))*Log[x/5]^2))/(-(x^2*Log[4]^3) + 3*x^2*Log[4]^2*Log[x/5] - 3*x^2*Log[4]*Log[x/5]^2 + x^2*Log[x/5]^3),x]","\int \frac{e^{2 e^{\frac{-5+10 x}{2 x}}} \left(-2 x-5 e^{\frac{-5+10 x}{2 x}} \log (4)+5 e^{\frac{-5+10 x}{2 x}} \log \left(\frac{x}{5}\right)\right)+e^{e^{\frac{-5+10 x}{2 x}}} \left(-30 x \log (4)-75 e^{\frac{-5+10 x}{2 x}} \log ^2(4)+\left(30 x+150 e^{\frac{-5+10 x}{2 x}} \log (4)\right) \log \left(\frac{x}{5}\right)-75 e^{\frac{-5+10 x}{2 x}} \log ^2\left(\frac{x}{5}\right)\right)}{-x^2 \log ^3(4)+3 x^2 \log ^2(4) \log \left(\frac{x}{5}\right)-3 x^2 \log (4) \log ^2\left(\frac{x}{5}\right)+x^2 \log ^3\left(\frac{x}{5}\right)} \, dx","\left(15-\frac{e^{e^{5-\frac{5}{2 x}}}}{\log \left(\frac{x}{5}\right)-\log (4)}\right)^2",1,"Integrate[(E^(2*E^((-5 + 10*x)/(2*x)))*(-2*x - 5*E^((-5 + 10*x)/(2*x))*Log[4] + 5*E^((-5 + 10*x)/(2*x))*Log[x/5]) + E^E^((-5 + 10*x)/(2*x))*(-30*x*Log[4] - 75*E^((-5 + 10*x)/(2*x))*Log[4]^2 + (30*x + 150*E^((-5 + 10*x)/(2*x))*Log[4])*Log[x/5] - 75*E^((-5 + 10*x)/(2*x))*Log[x/5]^2))/(-(x^2*Log[4]^3) + 3*x^2*Log[4]^2*Log[x/5] - 3*x^2*Log[4]*Log[x/5]^2 + x^2*Log[x/5]^3), x]","F",-1
4182,1,19,17,0.0199326,"\int \frac{e^{256+x} \left(342 x+171 x^2-81 x^4+81 x^5\right)}{361+342 x^3+81 x^6} \, dx","Integrate[(E^(256 + x)*(342*x + 171*x^2 - 81*x^4 + 81*x^5))/(361 + 342*x^3 + 81*x^6),x]","\frac{9 e^{x+256} x^2}{9 x^3+19}","\frac{e^{x+256}}{\frac{19}{9 x^2}+x}",1,"(9*E^(256 + x)*x^2)/(19 + 9*x^3)","A",1
4183,1,30,30,0.0167311,"\int \frac{-20 x+2 x^2+\left(-10 x+x^2\right) \log (2)+(-81+18 x) \log (3)}{x^4} \, dx","Integrate[(-20*x + 2*x^2 + (-10*x + x^2)*Log[2] + (-81 + 18*x)*Log[3])/x^4,x]","\frac{27 \log (3)}{x^3}+\frac{10-9 \log (3)+\log (32)}{x^2}+\frac{-2-\log (2)}{x}","\frac{\frac{9 (3-x) \log (3)}{x^2}+\frac{(5-x) (2+\log (2))}{x}}{x}",1,"(-2 - Log[2])/x + (27*Log[3])/x^3 + (10 - 9*Log[3] + Log[32])/x^2","A",1
4184,1,22,25,0.0077383,"\int \frac{3+2 x^2-8 x^3+\left(-3+2 x^2\right) \log (x)+x^2 \log ^2(x)}{x^2} \, dx","Integrate[(3 + 2*x^2 - 8*x^3 + (-3 + 2*x^2)*Log[x] + x^2*Log[x]^2)/x^2,x]","-4 x^2+2 x+x \log ^2(x)+\frac{3 \log (x)}{x}","-\left(x \left(-\log (x) \left(\frac{3}{x^2}+\log (x)\right)+4 x+1\right)\right)+3 x+1",1,"2*x - 4*x^2 + (3*Log[x])/x + x*Log[x]^2","A",1
4185,1,34,30,0.0201764,"\int \frac{-16 e^{2 e^2}-80 x^4+40 e^5 x^4-5 e^{10} x^4+5 x^5}{5 x^5} \, dx","Integrate[(-16*E^(2*E^2) - 80*x^4 + 40*E^5*x^4 - 5*E^10*x^4 + 5*x^5)/(5*x^5),x]","\frac{4 e^{2 e^2}}{5 x^4}+x-e^{10} \log (x)+8 e^5 \log (x)-16 \log (x)","\frac{4 e^{2 e^2}}{5 x^4}+x-\left(4-e^5\right)^2 \log (x)+5",1,"(4*E^(2*E^2))/(5*x^4) + x - 16*Log[x] + 8*E^5*Log[x] - E^10*Log[x]","A",1
4186,1,26,31,0.0206555,"\int \frac{25-40 x+160 x^2-80 x^3+32 x^4+4 x^2 \log (5)}{25-320 x^2+80 x^3+1024 x^4-512 x^5+64 x^6+\left(-10 x+64 x^3-16 x^4\right) \log (5)+x^2 \log ^2(5)} \, dx","Integrate[(25 - 40*x + 160*x^2 - 80*x^3 + 32*x^4 + 4*x^2*Log[5])/(25 - 320*x^2 + 80*x^3 + 1024*x^4 - 512*x^5 + 64*x^6 + (-10*x + 64*x^3 - 16*x^4)*Log[5] + x^2*Log[5]^2),x]","\frac{(5-4 x) x}{8 x^3-32 x^2-x \log (5)+5}","\frac{\frac{5}{x}-4}{8 (x-4)-\frac{\log (5)-\frac{5}{x}}{x}}+5",1,"((5 - 4*x)*x)/(5 - 32*x^2 + 8*x^3 - x*Log[5])","A",1
4187,1,16,13,0.0036067,"\int \frac{36-12 x+x^2+\left(-36+x^2\right) \log (x)}{x^2} \, dx","Integrate[(36 - 12*x + x^2 + (-36 + x^2)*Log[x])/x^2,x]","x \log (x)+\frac{36 \log (x)}{x}-12 \log (x)","\frac{(6-x)^2 \log (x)}{x}",1,"-12*Log[x] + (36*Log[x])/x + x*Log[x]","A",1
4188,1,26,24,0.6093506,"\int \frac{1200 x+240 e^x x+12 e^{2 x} x+e^{18 x} \left(e^{2 x} (-4+18 x)+e^x (-40+190 x)\right)}{100 x^5+20 e^x x^5+e^{2 x} x^5} \, dx","Integrate[(1200*x + 240*E^x*x + 12*E^(2*x)*x + E^(18*x)*(E^(2*x)*(-4 + 18*x) + E^x*(-40 + 190*x)))/(100*x^5 + 20*E^x*x^5 + E^(2*x)*x^5),x]","\frac{-4 e^x x-40 x+e^{19 x}}{\left(e^x+10\right) x^4}","\frac{\frac{e^{18 x}}{10 e^{-x} x+x}-4}{x^3}",1,"(E^(19*x) - 40*x - 4*E^x*x)/((10 + E^x)*x^4)","A",1
4189,1,37,26,0.0179981,"\int \frac{-9-486 x-6237 x^2+(-6-324 x) \log (2)}{9+462 x+5929 x^2+(12+308 x) \log (2)+4 \log ^2(2)} \, dx","Integrate[(-9 - 486*x - 6237*x^2 + (-6 - 324*x)*Log[2])/(9 + 462*x + 5929*x^2 + (12 + 308*x)*Log[2] + 4*Log[2]^2),x]","-\frac{3 \left(160083 x^2+4158 x (3+\log (4))+255+54 \log ^2(4)+247 \log (4)\right)}{5929 (77 x+3+\log (4))}","81-\frac{x}{1-\frac{2 (2 x-\log (2))}{81 x+3}}",1,"(-3*(255 + 160083*x^2 + 247*Log[4] + 54*Log[4]^2 + 4158*x*(3 + Log[4])))/(5929*(3 + 77*x + Log[4]))","A",1
4190,1,36,29,0.1418547,"\int \exp \left(\frac{1}{5} \left(-4+5 x^3+40 x^4+120 x^5+160 x^6+80 x^7-5 x \log (3)\right)\right) \left(12 x^2+128 x^3+480 x^4+768 x^5+448 x^6-4 \log (3)\right) \, dx","Integrate[E^((-4 + 5*x^3 + 40*x^4 + 120*x^5 + 160*x^6 + 80*x^7 - 5*x*Log[3])/5)*(12*x^2 + 128*x^3 + 480*x^4 + 768*x^5 + 448*x^6 - 4*Log[3]),x]","4\ 3^{-x} e^{16 x^7+32 x^6+24 x^5+8 x^4+x^3-\frac{4}{5}}","4 \exp \left(-x \left(-x^2 (2 x+1)^4+\frac{4}{5 x}+\log (3)\right)\right)",1,"(4*E^(-4/5 + x^3 + 8*x^4 + 24*x^5 + 32*x^6 + 16*x^7))/3^x","A",1
4191,1,64,36,0.2873599,"\int \frac{200 x+300 x^2+80 x^3+120 x^4+8 x^5+12 x^6+e^{\frac{10}{5+x^2}} \left(-50 x-20 x^3-2 x^5\right)+e^{\frac{5}{5+x^2}} \left(150 x-75 x^2+10 x^3-40 x^4+6 x^5-3 x^6\right)+e^x \left(-200 x-100 x^2-80 x^3-40 x^4-8 x^5-4 x^6+e^{\frac{5}{5+x^2}} \left(50 x+25 x^2+30 x^3+10 x^4+2 x^5+x^6\right)\right)}{800+420 x^2+100 x^3+72 x^4+40 x^5+4 x^6+4 x^7+e^{\frac{10}{5+x^2}} \left(50-5 x^2-8 x^4-x^6\right)+e^{\frac{5}{5+x^2}} \left(-400-85 x^2-25 x^3+14 x^4-10 x^5+3 x^6-x^7\right)+e^x \left(-100 x^2-40 x^4-4 x^6+e^{\frac{5}{5+x^2}} \left(25 x^2+10 x^4+x^6\right)\right)} \, dx","Integrate[(200*x + 300*x^2 + 80*x^3 + 120*x^4 + 8*x^5 + 12*x^6 + E^(10/(5 + x^2))*(-50*x - 20*x^3 - 2*x^5) + E^(5/(5 + x^2))*(150*x - 75*x^2 + 10*x^3 - 40*x^4 + 6*x^5 - 3*x^6) + E^x*(-200*x - 100*x^2 - 80*x^3 - 40*x^4 - 8*x^5 - 4*x^6 + E^(5/(5 + x^2))*(50*x + 25*x^2 + 30*x^3 + 10*x^4 + 2*x^5 + x^6)))/(800 + 420*x^2 + 100*x^3 + 72*x^4 + 40*x^5 + 4*x^6 + 4*x^7 + E^(10/(5 + x^2))*(50 - 5*x^2 - 8*x^4 - x^6) + E^(5/(5 + x^2))*(-400 - 85*x^2 - 25*x^3 + 14*x^4 - 10*x^5 + 3*x^6 - x^7) + E^x*(-100*x^2 - 40*x^4 - 4*x^6 + E^(5/(5 + x^2))*(25*x^2 + 10*x^4 + x^6))),x]","\log \left(x^3-e^x x^2+e^{\frac{5}{x^2+5}} x^2+x^2-2 e^{\frac{5}{x^2+5}}+8\right)-\log \left(4-e^{\frac{5}{x^2+5}}\right)","\log \left(-\frac{\left(x-e^x+5\right) x^2}{4-e^{\frac{5}{x^2+5}}}+x^2-2\right)",1,"-Log[4 - E^(5/(5 + x^2))] + Log[8 - 2*E^(5/(5 + x^2)) + x^2 - E^x*x^2 + E^(5/(5 + x^2))*x^2 + x^3]","A",1
4192,1,376,35,0.58902,"\int \frac{60 x^3-20 x^4+144 x^5-48 x^6+4 x^7+\left(120 x^2-40 x^3+216 x^4-72 x^5+6 x^6\right) \log ^2(4)+\left(60 x-20 x^2+72 x^3-24 x^4+2 x^5\right) \log ^4(4)+e^{2 x} \left(72 x^3+48 x^4-22 x^5+2 x^6+\left(72 x^2+120 x^3-46 x^4+4 x^5\right) \log ^2(4)+\left(72 x^2-24 x^3+2 x^4\right) \log ^4(4)\right)+e^x \left(60 x^2-20 x^3+216 x^4-18 x^6+2 x^7+\left(120 x-40 x^2+288 x^3+48 x^4-40 x^5+4 x^6\right) \log ^2(4)+\left(60-20 x+72 x^2+48 x^3-22 x^4+2 x^5\right) \log ^4(4)\right)+\left(-60 x^2+20 x^3-216 x^4+72 x^5-6 x^6+\left(-120 x+40 x^2-288 x^3+96 x^4-8 x^5\right) \log ^2(4)+\left(-60+20 x-72 x^2+24 x^3-2 x^4\right) \log ^4(4)+e^x \left(-144 x^3-24 x^4+20 x^5-2 x^6+\left(-144 x^2-96 x^3+44 x^4-4 x^5\right) \log ^2(4)+\left(-72 x^2+24 x^3-2 x^4\right) \log ^4(4)\right)\right) \log \left(2 e^{-\frac{5}{-6 x+x^2}}\right)+\left(72 x^3-24 x^4+2 x^5+\left(72 x^2-24 x^3+2 x^4\right) \log ^2(4)\right) \log ^2\left(2 e^{-\frac{5}{-6 x+x^2}}\right)}{36 x^2-12 x^3+x^4} \, dx","Integrate[(60*x^3 - 20*x^4 + 144*x^5 - 48*x^6 + 4*x^7 + (120*x^2 - 40*x^3 + 216*x^4 - 72*x^5 + 6*x^6)*Log[4]^2 + (60*x - 20*x^2 + 72*x^3 - 24*x^4 + 2*x^5)*Log[4]^4 + E^(2*x)*(72*x^3 + 48*x^4 - 22*x^5 + 2*x^6 + (72*x^2 + 120*x^3 - 46*x^4 + 4*x^5)*Log[4]^2 + (72*x^2 - 24*x^3 + 2*x^4)*Log[4]^4) + E^x*(60*x^2 - 20*x^3 + 216*x^4 - 18*x^6 + 2*x^7 + (120*x - 40*x^2 + 288*x^3 + 48*x^4 - 40*x^5 + 4*x^6)*Log[4]^2 + (60 - 20*x + 72*x^2 + 48*x^3 - 22*x^4 + 2*x^5)*Log[4]^4) + (-60*x^2 + 20*x^3 - 216*x^4 + 72*x^5 - 6*x^6 + (-120*x + 40*x^2 - 288*x^3 + 96*x^4 - 8*x^5)*Log[4]^2 + (-60 + 20*x - 72*x^2 + 24*x^3 - 2*x^4)*Log[4]^4 + E^x*(-144*x^3 - 24*x^4 + 20*x^5 - 2*x^6 + (-144*x^2 - 96*x^3 + 44*x^4 - 4*x^5)*Log[4]^2 + (-72*x^2 + 24*x^3 - 2*x^4)*Log[4]^4))*Log[2/E^(5/(-6*x + x^2))] + (72*x^3 - 24*x^4 + 2*x^5 + (72*x^2 - 24*x^3 + 2*x^4)*Log[4]^2)*Log[2/E^(5/(-6*x + x^2))]^2)/(36*x^2 - 12*x^3 + x^4),x]","\frac{x^8+2 x^7 \left(e^x-6+\log ^2(4)\right)+x^6 \left(e^{2 x}+4 e^x \left(\log ^2(4)-6\right)+36+\log ^4(4)-24 \log ^2(4)\right)+2 x^5 \left(e^{2 x} \left(\log ^2(4)-6\right)+e^x \left(36+\log ^4(4)-24 \log ^2(4)\right)-6 \log ^2(4) \left(\log ^2(4)-6\right)\right)+x^4 \left(-24 e^x \log ^2(4) \left(\log ^2(4)-6\right)+e^{2 x} \left(36+\log ^4(4)-24 \log ^2(4)\right)+4 \left(-15+9 \log ^4(4)-5 \log ^2(4)\right)\right)+(x-6)^2 x^3 \left(x+2 \log ^2(4)\right) \log ^2\left(2 e^{-\frac{5}{(x-6) x}}\right)-12 x^3 \left(-6 e^x \log ^4(4)+e^{2 x} \log ^2(4) \left(\log ^2(4)-6\right)-20 \left(3+\log ^2(4)\right)\right)+x^2 \left(36 e^{2 x} \log ^4(4)-2110-720 \log ^2(4)\right)-2 (x-6) x \left(x^5+x^4 \left(e^x-6+2 \log ^2(4)\right)+x^3 \left(2 e^x \left(\log ^2(4)-3\right)+\log ^2(4) \left(\log ^2(4)-12\right)\right)+x^2 \left(e^x \log ^2(4) \left(\log ^2(4)-12\right)-5-6 \log ^4(4)\right)-6 x \left(e^x \log ^4(4)-5\right)+5 \log ^4(4)\right) \log \left(2 e^{-\frac{5}{(x-6) x}}\right)-300 x-25 \log ^4(4)}{(x-6)^2 x^2}","\left(x+\log ^2(4)\right)^2 \left(-x-e^x+\log \left(2 e^{-\frac{5}{(x-6) x}}\right)\right)^2",1,"(-300*x + x^8 - 25*Log[4]^4 + 2*x^7*(-6 + E^x + Log[4]^2) + x^2*(-2110 - 720*Log[4]^2 + 36*E^(2*x)*Log[4]^4) + x^6*(36 + E^(2*x) - 24*Log[4]^2 + Log[4]^4 + 4*E^x*(-6 + Log[4]^2)) - 12*x^3*(-6*E^x*Log[4]^4 + E^(2*x)*Log[4]^2*(-6 + Log[4]^2) - 20*(3 + Log[4]^2)) + 2*x^5*(E^(2*x)*(-6 + Log[4]^2) - 6*Log[4]^2*(-6 + Log[4]^2) + E^x*(36 - 24*Log[4]^2 + Log[4]^4)) + x^4*(-24*E^x*Log[4]^2*(-6 + Log[4]^2) + E^(2*x)*(36 - 24*Log[4]^2 + Log[4]^4) + 4*(-15 - 5*Log[4]^2 + 9*Log[4]^4)) - 2*(-6 + x)*x*(x^5 + 5*Log[4]^4 + x^4*(-6 + E^x + 2*Log[4]^2) - 6*x*(-5 + E^x*Log[4]^4) + x^2*(-5 - 6*Log[4]^4 + E^x*Log[4]^2*(-12 + Log[4]^2)) + x^3*(Log[4]^2*(-12 + Log[4]^2) + 2*E^x*(-3 + Log[4]^2)))*Log[2/E^(5/((-6 + x)*x))] + (-6 + x)^2*x^3*(x + 2*Log[4]^2)*Log[2/E^(5/((-6 + x)*x))]^2)/((-6 + x)^2*x^2)","B",1
4193,1,8,15,0.0007783,"\int \frac{1-3 x^3}{x} \, dx","Integrate[(1 - 3*x^3)/x,x]","\log (x)-x^3","-x^3+\log (-2 x)+e^{e^4}",1,"-x^3 + Log[x]","A",1
4194,1,29,24,0.1251108,"\int \frac{e^{x^2} \left(e^8 \left(2 x^4+2 x^6\right)+\left(e^{12} \left(4 x^3+8 x^5\right)+e^8 \left(8 x^4+8 x^6\right)\right) \log (4)+\left(12 e^{16} x^4+e^{12} \left(12 x^3+24 x^5\right)+e^8 \left(12 x^4+12 x^6\right)\right) \log ^2(4)+\left(24 e^{16} x^4+e^{20} \left(-4 x+8 x^3\right)+e^{12} \left(12 x^3+24 x^5\right)+e^8 \left(8 x^4+8 x^6\right)\right) \log ^3(4)+\left(12 e^{16} x^4+e^{24} \left(-2+2 x^2\right)+e^{20} \left(-4 x+8 x^3\right)+e^{12} \left(4 x^3+8 x^5\right)+e^8 \left(2 x^4+2 x^6\right)\right) \log ^4(4)\right)}{x^3 \log ^4(4)} \, dx","Integrate[(E^x^2*(E^8*(2*x^4 + 2*x^6) + (E^12*(4*x^3 + 8*x^5) + E^8*(8*x^4 + 8*x^6))*Log[4] + (12*E^16*x^4 + E^12*(12*x^3 + 24*x^5) + E^8*(12*x^4 + 12*x^6))*Log[4]^2 + (24*E^16*x^4 + E^20*(-4*x + 8*x^3) + E^12*(12*x^3 + 24*x^5) + E^8*(8*x^4 + 8*x^6))*Log[4]^3 + (12*E^16*x^4 + E^24*(-2 + 2*x^2) + E^20*(-4*x + 8*x^3) + E^12*(4*x^3 + 8*x^5) + E^8*(2*x^4 + 2*x^6))*Log[4]^4))/(x^3*Log[4]^4),x]","\frac{e^{x^2+8} \left(x+x \log (4)+e^4 \log (4)\right)^4}{x^2 \log ^4(4)}","\frac{e^{x^2+8} \left(x+\frac{x}{\log (4)}+e^4\right)^4}{x^2}",1,"(E^(8 + x^2)*(x + E^4*Log[4] + x*Log[4])^4)/(x^2*Log[4]^4)","A",1
4195,1,23,24,0.0281965,"\int \left(e^x (-2-x)+2 e^{x^2} x+10 e^{-3+5 x^2} x\right) \, dx","Integrate[E^x*(-2 - x) + 2*E^x^2*x + 10*E^(-3 + 5*x^2)*x,x]","e^{x^2}+e^{5 x^2-3}-e^x (x+1)","e^{x^2}+e^{5 x^2-3}+e^x (-x-1)",1,"E^x^2 + E^(-3 + 5*x^2) - E^x*(1 + x)","A",1
4196,1,18,18,0.3471217,"\int \frac{e^{-\frac{75}{x^2+x^5-x \log (2)}} \left(150 x+375 x^4-75 \log (2)\right)}{x^4+x^{10}-2 x^3 \log (2)+x^2 \log ^2(2)+x^4 \left(2 x^3-2 x^2 \log (2)\right)} \, dx","Integrate[(150*x + 375*x^4 - 75*Log[2])/(E^(75/(x^2 + x^5 - x*Log[2]))*(x^4 + x^10 - 2*x^3*Log[2] + x^2*Log[2]^2 + x^4*(2*x^3 - 2*x^2*Log[2]))),x]","e^{-\frac{75}{x^5+x^2-x \log (2)}}","e^{-\frac{75}{x \left(x^4+x-\log (2)\right)}}",1,"E^(-75/(x^2 + x^5 - x*Log[2]))","A",1
4197,1,13,16,0.0265109,"\int e^{2 x} \left(14 x+11 x^2-2 x^3\right) \, dx","Integrate[E^(2*x)*(14*x + 11*x^2 - 2*x^3),x]","-e^{2 x} (x-7) x^2","e^{2 x} x \left(7 x-x^2\right)",1,"-(E^(2*x)*(-7 + x)*x^2)","A",1
4198,1,28,31,0.2473987,"\int \frac{e^{e^3-x} (5+x-e x-x \log (2)) \left(10+21 x+8 x^2+x^3+e \left(-x-3 x^2-x^3\right)+\left(-x-3 x^2-x^3\right) \log (2)\right)}{\left(x^2+x^3\right) \left(-5 x-6 x^2-x^3+e \left(x^2+x^3\right)+\left(x^2+x^3\right) \log (2)\right)} \, dx","Integrate[(E^(E^3 - x)*(5 + x - E*x - x*Log[2])*(10 + 21*x + 8*x^2 + x^3 + E*(-x - 3*x^2 - x^3) + (-x - 3*x^2 - x^3)*Log[2]))/((x^2 + x^3)*(-5*x - 6*x^2 - x^3 + E*(x^2 + x^3) + (x^2 + x^3)*Log[2])),x]","\frac{e^{e^3-x} (5-x (-1+e+\log (2)))}{x^2 (x+1)}","\frac{e^{e^3-x} \left(\frac{5}{x}-e+1-\log (2)\right)}{x^2+x}",1,"(E^(E^3 - x)*(5 - x*(-1 + E + Log[2])))/(x^2*(1 + x))","A",1
4199,1,901,28,1.3548725,"\int \frac{4 x+e^{x+\frac{2 \left(10+2 x^2\right)}{x}} x^2+e^x \left(4-4 x^2+x^4\right)+e^{\frac{10+2 x^2}{x}} \left(-10 x-x^2+2 x^3+e^x \left(-4 x+2 x^3\right)\right)}{4-4 x^2+e^{\frac{2 \left(10+2 x^2\right)}{x}} x^2+x^4+e^{\frac{10+2 x^2}{x}} \left(-4 x+2 x^3\right)} \, dx","Integrate[(4*x + E^(x + (2*(10 + 2*x^2))/x)*x^2 + E^x*(4 - 4*x^2 + x^4) + E^((10 + 2*x^2)/x)*(-10*x - x^2 + 2*x^3 + E^x*(-4*x + 2*x^3)))/(4 - 4*x^2 + E^((2*(10 + 2*x^2))/x)*x^2 + x^4 + E^((10 + 2*x^2)/x)*(-4*x + 2*x^3)),x]","\frac{-\frac{16760 e^{3 x+\frac{10}{x}} x^3}{2 x^4-x^3-14 x^2-2 x+20}-60060 \text{RootSum}\left[2 \text{$\#$1}^4-\text{$\#$1}^3-14 \text{$\#$1}^2-2 \text{$\#$1}+20\&,\frac{e^{\text{$\#$1}} \text{Ei}(x-\text{$\#$1})}{8 \text{$\#$1}^3-3 \text{$\#$1}^2-28 \text{$\#$1}-2}\&\right]-52674 \text{RootSum}\left[2 \text{$\#$1}^4-\text{$\#$1}^3-14 \text{$\#$1}^2-2 \text{$\#$1}+20\&,\frac{e^{\text{$\#$1}} \text{Ei}(x-\text{$\#$1}) \text{$\#$1}}{8 \text{$\#$1}^3-3 \text{$\#$1}^2-28 \text{$\#$1}-2}\&\right]+32550 \text{RootSum}\left[2 \text{$\#$1}^4-\text{$\#$1}^3-14 \text{$\#$1}^2-2 \text{$\#$1}+20\&,\frac{e^{\text{$\#$1}} \text{Ei}(x-\text{$\#$1}) \text{$\#$1}^2}{8 \text{$\#$1}^3-3 \text{$\#$1}^2-28 \text{$\#$1}-2}\&\right]-9033 \text{RootSum}\left[2 \text{$\#$1}^4-\text{$\#$1}^3-14 \text{$\#$1}^2-2 \text{$\#$1}+20\&,\frac{e^{\text{$\#$1}} \text{Ei}(x-\text{$\#$1}) \text{$\#$1}^3}{8 \text{$\#$1}^3-3 \text{$\#$1}^2-28 \text{$\#$1}-2}\&\right]+\frac{e^x \left(2612 x^3-110828 x^2+82526 x+390015\right)}{8 x^4-4 x^3-56 x^2-8 x+80}+\frac{2095 e^x \left(661 x^3+946 x^2-1030 x-1300\right)}{4 \left(-2 x^4+x^3+14 x^2+2 x-20\right)^2}}{16760}+\frac{\frac{16760 e^{5 x+\frac{20}{x}} x^4}{\left(x^2+e^{2 x+\frac{10}{x}} x-2\right) \left(2 x^4-x^3-14 x^2-2 x+20\right)}+\frac{33520 e^{3 x+\frac{10}{x}} \left(x^2-2\right) x^3}{\left(x^2+e^{2 x+\frac{10}{x}} x-2\right) \left(2 x^4-x^3-14 x^2-2 x+20\right)}+\frac{16760 \left(-2 x^4+x^3+14 x^2+2 x+e^x \left(x^2-2\right)^2-20\right) x^2}{\left(x^2+e^{2 x+\frac{10}{x}} x-2\right) \left(2 x^4-x^3-14 x^2-2 x+20\right)}+\frac{e^x \left(33520 x^8-51586 x^7-564053 x^6+275372 x^5+3327352 x^4+172792 x^3-7183172 x^2-1018960 x+5434800\right)}{\left(-2 x^4+x^3+14 x^2+2 x-20\right)^2}+60060 \text{RootSum}\left[2 \text{$\#$1}^4-\text{$\#$1}^3-14 \text{$\#$1}^2-2 \text{$\#$1}+20\&,\frac{e^{\text{$\#$1}} \text{Ei}(x-\text{$\#$1})}{8 \text{$\#$1}^3-3 \text{$\#$1}^2-28 \text{$\#$1}-2}\&\right]+52674 \text{RootSum}\left[2 \text{$\#$1}^4-\text{$\#$1}^3-14 \text{$\#$1}^2-2 \text{$\#$1}+20\&,\frac{e^{\text{$\#$1}} \text{Ei}(x-\text{$\#$1}) \text{$\#$1}}{8 \text{$\#$1}^3-3 \text{$\#$1}^2-28 \text{$\#$1}-2}\&\right]-32550 \text{RootSum}\left[2 \text{$\#$1}^4-\text{$\#$1}^3-14 \text{$\#$1}^2-2 \text{$\#$1}+20\&,\frac{e^{\text{$\#$1}} \text{Ei}(x-\text{$\#$1}) \text{$\#$1}^2}{8 \text{$\#$1}^3-3 \text{$\#$1}^2-28 \text{$\#$1}-2}\&\right]+9033 \text{RootSum}\left[2 \text{$\#$1}^4-\text{$\#$1}^3-14 \text{$\#$1}^2-2 \text{$\#$1}+20\&,\frac{e^{\text{$\#$1}} \text{Ei}(x-\text{$\#$1}) \text{$\#$1}^3}{8 \text{$\#$1}^3-3 \text{$\#$1}^2-28 \text{$\#$1}-2}\&\right]}{16760}","-\frac{x}{x+e^{2 x+\frac{10}{x}}-\frac{2}{x}}+e^x+1",1,"((2095*E^x*(-1300 - 1030*x + 946*x^2 + 661*x^3))/(4*(-20 + 2*x + 14*x^2 + x^3 - 2*x^4)^2) - (16760*E^(10/x + 3*x)*x^3)/(20 - 2*x - 14*x^2 - x^3 + 2*x^4) + (E^x*(390015 + 82526*x - 110828*x^2 + 2612*x^3))/(80 - 8*x - 56*x^2 - 4*x^3 + 8*x^4) - 60060*RootSum[20 - 2*#1 - 14*#1^2 - #1^3 + 2*#1^4 & , (E^#1*ExpIntegralEi[x - #1])/(-2 - 28*#1 - 3*#1^2 + 8*#1^3) & ] - 52674*RootSum[20 - 2*#1 - 14*#1^2 - #1^3 + 2*#1^4 & , (E^#1*ExpIntegralEi[x - #1]*#1)/(-2 - 28*#1 - 3*#1^2 + 8*#1^3) & ] + 32550*RootSum[20 - 2*#1 - 14*#1^2 - #1^3 + 2*#1^4 & , (E^#1*ExpIntegralEi[x - #1]*#1^2)/(-2 - 28*#1 - 3*#1^2 + 8*#1^3) & ] - 9033*RootSum[20 - 2*#1 - 14*#1^2 - #1^3 + 2*#1^4 & , (E^#1*ExpIntegralEi[x - #1]*#1^3)/(-2 - 28*#1 - 3*#1^2 + 8*#1^3) & ])/16760 + ((16760*E^(20/x + 5*x)*x^4)/((-2 + E^(10/x + 2*x)*x + x^2)*(20 - 2*x - 14*x^2 - x^3 + 2*x^4)) + (33520*E^(10/x + 3*x)*x^3*(-2 + x^2))/((-2 + E^(10/x + 2*x)*x + x^2)*(20 - 2*x - 14*x^2 - x^3 + 2*x^4)) + (E^x*(5434800 - 1018960*x - 7183172*x^2 + 172792*x^3 + 3327352*x^4 + 275372*x^5 - 564053*x^6 - 51586*x^7 + 33520*x^8))/(-20 + 2*x + 14*x^2 + x^3 - 2*x^4)^2 + (16760*x^2*(-20 + 2*x + 14*x^2 + x^3 - 2*x^4 + E^x*(-2 + x^2)^2))/((-2 + E^(10/x + 2*x)*x + x^2)*(20 - 2*x - 14*x^2 - x^3 + 2*x^4)) + 60060*RootSum[20 - 2*#1 - 14*#1^2 - #1^3 + 2*#1^4 & , (E^#1*ExpIntegralEi[x - #1])/(-2 - 28*#1 - 3*#1^2 + 8*#1^3) & ] + 52674*RootSum[20 - 2*#1 - 14*#1^2 - #1^3 + 2*#1^4 & , (E^#1*ExpIntegralEi[x - #1]*#1)/(-2 - 28*#1 - 3*#1^2 + 8*#1^3) & ] - 32550*RootSum[20 - 2*#1 - 14*#1^2 - #1^3 + 2*#1^4 & , (E^#1*ExpIntegralEi[x - #1]*#1^2)/(-2 - 28*#1 - 3*#1^2 + 8*#1^3) & ] + 9033*RootSum[20 - 2*#1 - 14*#1^2 - #1^3 + 2*#1^4 & , (E^#1*ExpIntegralEi[x - #1]*#1^3)/(-2 - 28*#1 - 3*#1^2 + 8*#1^3) & ])/16760","C",1
4200,1,53,36,0.0663199,"\int \frac{2-12 x-2 x^2+e^{2 x} x^2-e^x x^2 \log (2)-16 \log \left(x^3\right)+2 \log ^2\left(x^3\right)}{2 x^2} \, dx","Integrate[(2 - 12*x - 2*x^2 + E^(2*x)*x^2 - E^x*x^2*Log[2] - 16*Log[x^3] + 2*Log[x^3]^2)/(2*x^2),x]","\frac{1}{2} \left(-\frac{2 \log ^2\left(x^3\right)}{x}+\frac{4 \log \left(x^3\right)}{x}+\frac{e^{2 x}}{2}-2 x+\frac{10}{x}-12 \log (x)-e^x \log (2)\right)","\frac{6-\left(-\log \left(x^3\right)-x+1\right)^2}{x}+\frac{1}{4} \left(e^x-\log (2)\right)^2",1,"(E^(2*x)/2 + 10/x - 2*x - E^x*Log[2] - 12*Log[x] + (4*Log[x^3])/x - (2*Log[x^3]^2)/x)/2","A",1
4201,1,25,25,0.103666,"\int e^{-10 \sqrt{\frac{2}{3}}} \left(4 e^6 x^3+10 e^3 x^4+6 x^5+e^{2 x} \left(4 x^3+2 x^4\right)+e^x \left(10 x^4+2 x^5+e^3 \left(8 x^3+2 x^4\right)\right)\right) \, dx","Integrate[(4*E^6*x^3 + 10*E^3*x^4 + 6*x^5 + E^(2*x)*(4*x^3 + 2*x^4) + E^x*(10*x^4 + 2*x^5 + E^3*(8*x^3 + 2*x^4)))/E^(10*Sqrt[2/3]),x]","e^{-10 \sqrt{\frac{2}{3}}} x^4 \left(x+e^x+e^3\right)^2","e^{-10 \sqrt{\frac{2}{3}}} x^4 \left(x+e^x+e^3\right)^2",1,"(x^4*(E^3 + E^x + x)^2)/E^(10*Sqrt[2/3])","A",1
4202,1,17,27,0.0313393,"\int \frac{20-2 e^x+\left(-20 e^x x+2 e^{2 x} x\right) \log (x) \log (\log (x))+\left(2-2 e^x x \log (x) \log (\log (x))\right) \log (\log (\log (x)))}{9 x \log (x) \log (\log (x))} \, dx","Integrate[(20 - 2*E^x + (-20*E^x*x + 2*E^(2*x)*x)*Log[x]*Log[Log[x]] + (2 - 2*E^x*x*Log[x]*Log[Log[x]])*Log[Log[Log[x]]])/(9*x*Log[x]*Log[Log[x]]),x]","\frac{1}{9} \left(e^x-\log (\log (\log (x)))-10\right)^2","\frac{1}{9} \left(2 (3-x)+e^x+2 x-\log (\log (\log (x)))-16\right)^2",1,"(-10 + E^x - Log[Log[Log[x]]])^2/9","A",1
4203,1,18,18,0.0194581,"\int \frac{-900 e^{225 \log ^2(x)} \log (x)+540 e^{450 \log ^2(x)} \log (x)}{x} \, dx","Integrate[(-900*E^(225*Log[x]^2)*Log[x] + 540*E^(450*Log[x]^2)*Log[x])/x,x]","\frac{1}{15} \left(3 e^{225 \log ^2(x)}-5\right)^2","\frac{3}{5} \left(e^{225 \log ^2(x)}-\frac{5}{3}\right)^2",1,"(-5 + 3*E^(225*Log[x]^2))^2/15","A",1
4204,0,0,24,0.1643508,"\int \frac{\left(-128 x^3+256 x^4+\left(128 x^2-256 x^3\right) \log (2)+\left(-128 x^2+256 x^3+\left(128 x-256 x^2\right) \log (2)\right) \log (x)\right) \log \left(-12-x+x^2\right)+\left(768 x+64 x^2-64 x^3+\left(-768-832 x+64 x^3\right) \log (2)+\left(-768 x-64 x^2+64 x^3\right) \log (x)\right) \log ^2\left(-12-x+x^2\right)}{-12 x^3-x^4+x^5+\left(-24 x^2-2 x^3+2 x^4\right) \log (x)+\left(-12 x-x^2+x^3\right) \log ^2(x)} \, dx","Integrate[((-128*x^3 + 256*x^4 + (128*x^2 - 256*x^3)*Log[2] + (-128*x^2 + 256*x^3 + (128*x - 256*x^2)*Log[2])*Log[x])*Log[-12 - x + x^2] + (768*x + 64*x^2 - 64*x^3 + (-768 - 832*x + 64*x^3)*Log[2] + (-768*x - 64*x^2 + 64*x^3)*Log[x])*Log[-12 - x + x^2]^2)/(-12*x^3 - x^4 + x^5 + (-24*x^2 - 2*x^3 + 2*x^4)*Log[x] + (-12*x - x^2 + x^3)*Log[x]^2),x]","\int \frac{\left(-128 x^3+256 x^4+\left(128 x^2-256 x^3\right) \log (2)+\left(-128 x^2+256 x^3+\left(128 x-256 x^2\right) \log (2)\right) \log (x)\right) \log \left(-12-x+x^2\right)+\left(768 x+64 x^2-64 x^3+\left(-768-832 x+64 x^3\right) \log (2)+\left(-768 x-64 x^2+64 x^3\right) \log (x)\right) \log ^2\left(-12-x+x^2\right)}{-12 x^3-x^4+x^5+\left(-24 x^2-2 x^3+2 x^4\right) \log (x)+\left(-12 x-x^2+x^3\right) \log ^2(x)} \, dx","\frac{64 (x-\log (2)) \log ^2((x-4) (x+3))}{x+\log (x)}",1,"Integrate[((-128*x^3 + 256*x^4 + (128*x^2 - 256*x^3)*Log[2] + (-128*x^2 + 256*x^3 + (128*x - 256*x^2)*Log[2])*Log[x])*Log[-12 - x + x^2] + (768*x + 64*x^2 - 64*x^3 + (-768 - 832*x + 64*x^3)*Log[2] + (-768*x - 64*x^2 + 64*x^3)*Log[x])*Log[-12 - x + x^2]^2)/(-12*x^3 - x^4 + x^5 + (-24*x^2 - 2*x^3 + 2*x^4)*Log[x] + (-12*x - x^2 + x^3)*Log[x]^2), x]","F",-1
4205,1,21,22,0.1779566,"\int e^{-\frac{12 e^x}{x}} \left(-2 e^{\frac{12 e^x}{x}} x-4 x^3+e^x \left(-12 x^2+12 x^3\right)\right) \, dx","Integrate[(-2*E^((12*E^x)/x)*x - 4*x^3 + E^x*(-12*x^2 + 12*x^3))/E^((12*E^x)/x),x]","-x^2 \left(e^{-\frac{12 e^x}{x}} x^2+1\right)","-e^{-\frac{12 e^x}{x}} x^4-x^2+2",1,"-(x^2*(1 + x^2/E^((12*E^x)/x)))","A",1
4206,1,14,14,0.0010955,"\int \frac{3 e^2}{8 x^3 \log ^2(5)} \, dx","Integrate[(3*E^2)/(8*x^3*Log[5]^2),x]","-\frac{3 e^2}{16 x^2 \log ^2(5)}","-\frac{3 e^2}{16 x^2 \log ^2(5)}",1,"(-3*E^2)/(16*x^2*Log[5]^2)","A",1
4207,1,19,30,0.6576957,"\int \frac{32-656 x-496 x^2+\left(-24 x-24 x^2\right) \log (x)}{32000 x^4+32000 x^5+8000 x^6+\left(-4800 x^3+3600 x^5+1200 x^6\right) \log (x)+\left(240 x^2-240 x^3-180 x^4+120 x^5+60 x^6\right) \log ^2(x)+\left(-4 x+8 x^2-x^3-5 x^4+x^5+x^6\right) \log ^3(x)} \, dx","Integrate[(32 - 656*x - 496*x^2 + (-24*x - 24*x^2)*Log[x])/(32000*x^4 + 32000*x^5 + 8000*x^6 + (-4800*x^3 + 3600*x^5 + 1200*x^6)*Log[x] + (240*x^2 - 240*x^3 - 180*x^4 + 120*x^5 + 60*x^6)*Log[x]^2 + (-4*x + 8*x^2 - x^3 - 5*x^4 + x^5 + x^6)*Log[x]^3),x]","\frac{8}{(x+2) (20 x+(x-1) \log (x))^2}","\frac{1}{(2 x+4) \left(5 x+\frac{((x-2) x+x) \log (x)}{4 x}\right)^2}",1,"8/((2 + x)*(20*x + (-1 + x)*Log[x])^2)","A",1
4208,1,45,30,0.0928644,"\int \frac{-30 x^4+150 x^5+\left(-60 x^2+300 x^3\right) \log (4)+(-30+150 x) \log ^2(4)+e^x \left(-3 x^4+\left(-6 x-3 x^2\right) \log (4)\right)}{8 x^4+8 e^{2 x} x^4-160 x^5+1200 x^6-4000 x^7+5000 x^8+\left(16 x^2-320 x^3+2400 x^4-8000 x^5+10000 x^6\right) \log (4)+\left(8-160 x+1200 x^2-4000 x^3+5000 x^4\right) \log ^2(4)+e^x \left(-16 x^4+160 x^5-400 x^6+\left(-16 x^2+160 x^3-400 x^4\right) \log (4)\right)} \, dx","Integrate[(-30*x^4 + 150*x^5 + (-60*x^2 + 300*x^3)*Log[4] + (-30 + 150*x)*Log[4]^2 + E^x*(-3*x^4 + (-6*x - 3*x^2)*Log[4]))/(8*x^4 + 8*E^(2*x)*x^4 - 160*x^5 + 1200*x^6 - 4000*x^7 + 5000*x^8 + (16*x^2 - 320*x^3 + 2400*x^4 - 8000*x^5 + 10000*x^6)*Log[4] + (8 - 160*x + 1200*x^2 - 4000*x^3 + 5000*x^4)*Log[4]^2 + E^x*(-16*x^4 + 160*x^5 - 400*x^6 + (-16*x^2 + 160*x^3 - 400*x^4)*Log[4])),x]","-\frac{3 \left(x^2+\log (4)\right)}{8 \left(25 x^4-10 x^3+x^2 \left(-e^x+1+25 \log (4)\right)-10 x \log (4)+\log (4)\right)}","\frac{3}{8 \left(\frac{e^x}{\frac{\log (4)}{x^2}+1}-(1-5 x)^2\right)}",1,"(-3*(x^2 + Log[4]))/(8*(-10*x^3 + 25*x^4 + Log[4] - 10*x*Log[4] + x^2*(1 - E^x + 25*Log[4])))","A",1
4209,0,0,33,121.850824,"\int \frac{\exp \left(\frac{2 \left(-e^6+x+4 e^3 x-4 x^2+\left(2+e^6-x-4 e^3 x+4 x^2+\left(e^6 x-x^2-4 e^3 x^2+4 x^3\right) \log (4)\right) \log (x)\right)}{-1+(1+x \log (4)) \log (x)}\right) \left(-4-2 x-8 e^3 x+16 x^2+\left(4 x+16 e^3 x-32 x^2+\left(4 x^2+16 e^3 x^2-32 x^3\right) \log (4)\right) \log (x)+\left(-2 x-8 e^3 x+16 x^2+\left(-4 x-4 x^2-16 e^3 x^2+32 x^3\right) \log (4)+\left(-2 x^3-8 e^3 x^3+16 x^4\right) \log ^2(4)\right) \log ^2(x)\right)}{x+\left(-2 x-2 x^2 \log (4)\right) \log (x)+\left(x+2 x^2 \log (4)+x^3 \log ^2(4)\right) \log ^2(x)} \, dx","Integrate[(E^((2*(-E^6 + x + 4*E^3*x - 4*x^2 + (2 + E^6 - x - 4*E^3*x + 4*x^2 + (E^6*x - x^2 - 4*E^3*x^2 + 4*x^3)*Log[4])*Log[x]))/(-1 + (1 + x*Log[4])*Log[x]))*(-4 - 2*x - 8*E^3*x + 16*x^2 + (4*x + 16*E^3*x - 32*x^2 + (4*x^2 + 16*E^3*x^2 - 32*x^3)*Log[4])*Log[x] + (-2*x - 8*E^3*x + 16*x^2 + (-4*x - 4*x^2 - 16*E^3*x^2 + 32*x^3)*Log[4] + (-2*x^3 - 8*E^3*x^3 + 16*x^4)*Log[4]^2)*Log[x]^2))/(x + (-2*x - 2*x^2*Log[4])*Log[x] + (x + 2*x^2*Log[4] + x^3*Log[4]^2)*Log[x]^2),x]","\int \frac{\exp \left(\frac{2 \left(-e^6+x+4 e^3 x-4 x^2+\left(2+e^6-x-4 e^3 x+4 x^2+\left(e^6 x-x^2-4 e^3 x^2+4 x^3\right) \log (4)\right) \log (x)\right)}{-1+(1+x \log (4)) \log (x)}\right) \left(-4-2 x-8 e^3 x+16 x^2+\left(4 x+16 e^3 x-32 x^2+\left(4 x^2+16 e^3 x^2-32 x^3\right) \log (4)\right) \log (x)+\left(-2 x-8 e^3 x+16 x^2+\left(-4 x-4 x^2-16 e^3 x^2+32 x^3\right) \log (4)+\left(-2 x^3-8 e^3 x^3+16 x^4\right) \log ^2(4)\right) \log ^2(x)\right)}{x+\left(-2 x-2 x^2 \log (4)\right) \log (x)+\left(x+2 x^2 \log (4)+x^3 \log ^2(4)\right) \log ^2(x)} \, dx","\exp \left(2 \left(e^3-2 x\right)^2-2 x+\frac{4}{x \log (4)-\frac{1}{\log (x)}+1}\right)",1,"Integrate[(E^((2*(-E^6 + x + 4*E^3*x - 4*x^2 + (2 + E^6 - x - 4*E^3*x + 4*x^2 + (E^6*x - x^2 - 4*E^3*x^2 + 4*x^3)*Log[4])*Log[x]))/(-1 + (1 + x*Log[4])*Log[x]))*(-4 - 2*x - 8*E^3*x + 16*x^2 + (4*x + 16*E^3*x - 32*x^2 + (4*x^2 + 16*E^3*x^2 - 32*x^3)*Log[4])*Log[x] + (-2*x - 8*E^3*x + 16*x^2 + (-4*x - 4*x^2 - 16*E^3*x^2 + 32*x^3)*Log[4] + (-2*x^3 - 8*E^3*x^3 + 16*x^4)*Log[4]^2)*Log[x]^2))/(x + (-2*x - 2*x^2*Log[4])*Log[x] + (x + 2*x^2*Log[4] + x^3*Log[4]^2)*Log[x]^2), x]","F",-1
4210,1,8,19,0.0024236,"\int \frac{2+e^x x}{x} \, dx","Integrate[(2 + E^x*x)/x,x]","e^x+2 \log (x)","\log \left(\frac{1}{4} e^{e^x+\frac{2}{e^3}} x^2\right)",1,"E^x + 2*Log[x]","A",1
4211,1,32,26,0.0892082,"\int \frac{-4 e^{\frac{2 (-7+x)}{x^2}} x^4+e^{\frac{-7+x}{x^2}} \left(3 x^2+x^4\right)+e^{\frac{-7+x}{x^2}} \left(-42+3 x-14 x^2+x^3-2 x^4\right) \log (x)}{4 e^{\frac{2 (-7+x)}{x^2}} x^3+4 e^{\frac{-7+x}{x^2}} x^3 \log (x)+x^3 \log ^2(x)} \, dx","Integrate[(-4*E^((2*(-7 + x))/x^2)*x^4 + E^((-7 + x)/x^2)*(3*x^2 + x^4) + E^((-7 + x)/x^2)*(-42 + 3*x - 14*x^2 + x^3 - 2*x^4)*Log[x])/(4*E^((2*(-7 + x))/x^2)*x^3 + 4*E^((-7 + x)/x^2)*x^3*Log[x] + x^3*Log[x]^2),x]","-\frac{e^{\frac{1}{x}} \left(x^2+3\right)}{e^{\frac{7}{x^2}} \log (x)+2 e^{\frac{1}{x}}}","4-\frac{x^2+3}{e^{-\frac{x-7}{x^2}} \log (x)+2}",1,"-((E^x^(-1)*(3 + x^2))/(2*E^x^(-1) + E^(7/x^2)*Log[x]))","A",1
4212,1,26,30,0.130798,"\int \frac{\exp \left(-\frac{2 e^2 \left(4-4 x+x^2\right)}{100-120 x+36 x^2+(20-12 x) \log (x)+\log ^2(x)}\right) \left(-2000 x+3600 x^2-2160 x^3+432 x^4+e^2 \left(-16 x+32 x^2-12 x^3\right)+\left(-600 x+720 x^2-216 x^3+e^2 \left(-8 x^2+4 x^3\right)\right) \log (x)+\left(-60 x+36 x^2\right) \log ^2(x)-2 x \log ^3(x)\right)}{1000-1800 x+1080 x^2-216 x^3+\left(300-360 x+108 x^2\right) \log (x)+(30-18 x) \log ^2(x)+\log ^3(x)} \, dx","Integrate[(-2000*x + 3600*x^2 - 2160*x^3 + 432*x^4 + E^2*(-16*x + 32*x^2 - 12*x^3) + (-600*x + 720*x^2 - 216*x^3 + E^2*(-8*x^2 + 4*x^3))*Log[x] + (-60*x + 36*x^2)*Log[x]^2 - 2*x*Log[x]^3)/(E^((2*E^2*(4 - 4*x + x^2))/(100 - 120*x + 36*x^2 + (20 - 12*x)*Log[x] + Log[x]^2))*(1000 - 1800*x + 1080*x^2 - 216*x^3 + (300 - 360*x + 108*x^2)*Log[x] + (30 - 18*x)*Log[x]^2 + Log[x]^3)),x]","x^2 \left(-e^{-\frac{2 e^2 (x-2)^2}{(-6 x+\log (x)+10)^2}}\right)","5-x^2 e^{-\frac{2 e^2}{\left(\frac{x-\log (x)}{x-2}+5\right)^2}}",1,"-(x^2/E^((2*E^2*(-2 + x)^2)/(10 - 6*x + Log[x])^2))","A",1
4213,1,22,24,0.233156,"\int \frac{-27+9 x+e^{e^x} \left(-10 x-x^2+x^3+e^x \left(-5 x^2+x^3\right)\right)}{-45+9 x+e^{e^x} \left(-5 x^2+x^3\right)} \, dx","Integrate[(-27 + 9*x + E^E^x*(-10*x - x^2 + x^3 + E^x*(-5*x^2 + x^3)))/(-45 + 9*x + E^E^x*(-5*x^2 + x^3)),x]","\log \left(e^{e^x} x^2+9\right)+x+2 \log (5-x)","\log \left(\frac{1}{3} e^{e^x} x^2+3\right)+x+\log \left((x-5)^2\right)-5",1,"x + 2*Log[5 - x] + Log[9 + E^E^x*x^2]","A",1
4214,1,12,12,0.1362665,"\int \frac{-28 x+14 x \log (x)+2 \log (-2+\log (x))}{-28 x^2+14 x^2 \log (x)+(-2 x+x \log (x)) \log ^2(-2+\log (x))} \, dx","Integrate[(-28*x + 14*x*Log[x] + 2*Log[-2 + Log[x]])/(-28*x^2 + 14*x^2*Log[x] + (-2*x + x*Log[x])*Log[-2 + Log[x]]^2),x]","\log \left(14 x+\log ^2(\log (x)-2)\right)","\log \left(14 x+\log ^2(\log (x)-2)\right)",1,"Log[14*x + Log[-2 + Log[x]]^2]","A",1
4215,1,22,22,0.325019,"\int \frac{-5 x^3+e^{\frac{4+4 x+x^2}{x^2}} \left(8+4 x-4 x^2\right)}{2 e^{\frac{3 \left(4+4 x+x^2\right)}{x^2}} x^{11}+6 e^{\frac{2 \left(4+4 x+x^2\right)}{x^2}} x^{12}+6 e^{\frac{4+4 x+x^2}{x^2}} x^{13}+2 x^{14}} \, dx","Integrate[(-5*x^3 + E^((4 + 4*x + x^2)/x^2)*(8 + 4*x - 4*x^2))/(2*E^((3*(4 + 4*x + x^2))/x^2)*x^11 + 6*E^((2*(4 + 4*x + x^2))/x^2)*x^12 + 6*E^((4 + 4*x + x^2)/x^2)*x^13 + 2*x^14),x]","\frac{1}{4 x^8 \left(e^{\frac{(x+2)^2}{x^2}}+x\right)^2}","\frac{1}{4 x^8 \left(e^{\frac{(x+2)^2}{x^2}}+x\right)^2}",1,"1/(4*x^8*(E^((2 + x)^2/x^2) + x)^2)","A",1
4216,1,40,19,0.0242289,"\int \frac{1-256 x+8 x^2+\left(2-384 x+8 x^2\right) \log (3)+\left(1-128 x+2 x^2\right) \log ^2(3)}{x+2 x \log (3)+x \log ^2(3)} \, dx","Integrate[(1 - 256*x + 8*x^2 + (2 - 384*x + 8*x^2)*Log[3] + (1 - 128*x + 2*x^2)*Log[3]^2)/(x + 2*x*Log[3] + x*Log[3]^2),x]","\frac{x^2 (2+\log (3))^2-128 x \left(2+\log ^2(3)+\log (27)\right)+\left(1+\log ^2(3)+\log (9)\right) \log (x)}{(1+\log (3))^2}","\left(-x-\frac{x}{1+\log (3)}+64\right)^2+\log (x)",1,"(x^2*(2 + Log[3])^2 - 128*x*(2 + Log[3]^2 + Log[27]) + (1 + Log[3]^2 + Log[9])*Log[x])/(1 + Log[3])^2","B",1
4217,1,11,15,0.0198022,"\int \frac{2}{-4 x-5 x \log (3)+x \log (2 x)} \, dx","Integrate[2/(-4*x - 5*x*Log[3] + x*Log[2*x]),x]","2 \log \left(\log \left(\frac{2 x}{243}\right)-4\right)","\log \left((-\log (2 x)+4+5 \log (3))^2\right)",1,"2*Log[-4 + Log[(2*x)/243]]","A",1
4218,1,25,20,0.1055628,"\int \frac{4-x+e^{e^2-2 e x+x^2} \left(-2-2 e x+2 x^2\right)-2 \log (4)}{x^3} \, dx","Integrate[(4 - x + E^(E^2 - 2*E*x + x^2)*(-2 - 2*E*x + 2*x^2) - 2*Log[4])/x^3,x]","\frac{2 x+2 e^{(e-x)^2}-4+\log (16)}{2 x^2}","\frac{x+e^{(x-e)^2}-2+\log (4)}{x^2}+1",1,"(-4 + 2*E^(E - x)^2 + 2*x + Log[16])/(2*x^2)","A",1
4219,1,552,20,0.4377749,"\int \frac{\left(-14+64 x-24 x^2\right) \log \left(-112+28 x-64 x^2+16 x^3\right)+\left(-7-4 x^2\right) \log ^2\left(-112+28 x-64 x^2+16 x^3\right)}{7+4 x^2} \, dx","Integrate[((-14 + 64*x - 24*x^2)*Log[-112 + 28*x - 64*x^2 + 16*x^3] + (-7 - 4*x^2)*Log[-112 + 28*x - 64*x^2 + 16*x^3]^2)/(7 + 4*x^2),x]","-8 \text{Li}_2\left(-\frac{i \left(i \sqrt{7}-2 x\right)}{2 \sqrt{7}}\right)-8 \text{Li}_2\left(-\frac{i \sqrt{7}-2 x}{8-i \sqrt{7}}\right)-8 \text{Li}_2\left(\frac{2 (4-x)}{8-i \sqrt{7}}\right)-8 \text{Li}_2\left(\frac{2 (4-x)}{8+i \sqrt{7}}\right)-8 \text{Li}_2\left(-\frac{i \left(2 x+i \sqrt{7}\right)}{2 \sqrt{7}}\right)-8 \text{Li}_2\left(\frac{2 x+i \sqrt{7}}{8+i \sqrt{7}}\right)-x \log ^2\left(4 \left(4 x^3-16 x^2+7 x-28\right)\right)+8 \log \left(-4 \left(-4 x^3+16 x^2-7 x+28\right)\right) \log \left(-2 x+i \sqrt{7}\right)+8 \log (x-4) \log \left(-4 \left(-4 x^3+16 x^2-7 x+28\right)\right)+8 \log \left(2 x+i \sqrt{7}\right) \log \left(-4 \left(-4 x^3+16 x^2-7 x+28\right)\right)-4 \log ^2\left(-2 x+i \sqrt{7}\right)-4 \log ^2(x-4)-4 \log ^2\left(2 x+i \sqrt{7}\right)-8 \log \left(\frac{2 (4-x)}{8-i \sqrt{7}}\right) \log \left(-2 x+i \sqrt{7}\right)-8 \log \left(-\frac{i \left(2 x+i \sqrt{7}\right)}{2 \sqrt{7}}\right) \log \left(-2 x+i \sqrt{7}\right)-8 \log \left(-\frac{-2 x+i \sqrt{7}}{8-i \sqrt{7}}\right) \log (x-4)-8 \log \left(-\frac{i \left(-2 x+i \sqrt{7}\right)}{2 \sqrt{7}}\right) \log \left(2 x+i \sqrt{7}\right)-8 \log \left(\frac{2 (4-x)}{8+i \sqrt{7}}\right) \log \left(2 x+i \sqrt{7}\right)-8 \log (x-4) \log \left(\frac{2 x+i \sqrt{7}}{8+i \sqrt{7}}\right)","(4-x) \log ^2\left((x-4) \left(16 x^2+28\right)\right)",1,"-4*Log[I*Sqrt[7] - 2*x]^2 - 8*Log[I*Sqrt[7] - 2*x]*Log[(2*(4 - x))/(8 - I*Sqrt[7])] - 8*Log[-((I*Sqrt[7] - 2*x)/(8 - I*Sqrt[7]))]*Log[-4 + x] - 4*Log[-4 + x]^2 - 8*Log[((-1/2*I)*(I*Sqrt[7] - 2*x))/Sqrt[7]]*Log[I*Sqrt[7] + 2*x] - 8*Log[(2*(4 - x))/(8 + I*Sqrt[7])]*Log[I*Sqrt[7] + 2*x] - 4*Log[I*Sqrt[7] + 2*x]^2 - 8*Log[I*Sqrt[7] - 2*x]*Log[((-1/2*I)*(I*Sqrt[7] + 2*x))/Sqrt[7]] - 8*Log[-4 + x]*Log[(I*Sqrt[7] + 2*x)/(8 + I*Sqrt[7])] + 8*Log[I*Sqrt[7] - 2*x]*Log[-4*(28 - 7*x + 16*x^2 - 4*x^3)] + 8*Log[-4 + x]*Log[-4*(28 - 7*x + 16*x^2 - 4*x^3)] + 8*Log[I*Sqrt[7] + 2*x]*Log[-4*(28 - 7*x + 16*x^2 - 4*x^3)] - x*Log[4*(-28 + 7*x - 16*x^2 + 4*x^3)]^2 - 8*PolyLog[2, ((-1/2*I)*(I*Sqrt[7] - 2*x))/Sqrt[7]] - 8*PolyLog[2, -((I*Sqrt[7] - 2*x)/(8 - I*Sqrt[7]))] - 8*PolyLog[2, (2*(4 - x))/(8 - I*Sqrt[7])] - 8*PolyLog[2, (2*(4 - x))/(8 + I*Sqrt[7])] - 8*PolyLog[2, ((-1/2*I)*(I*Sqrt[7] + 2*x))/Sqrt[7]] - 8*PolyLog[2, (I*Sqrt[7] + 2*x)/(8 + I*Sqrt[7])]","C",1
4220,1,17,17,0.0770597,"\int \frac{2 e^x x^3+10 x^4+e^x x \left(e^x+5 x\right) \left(e^x+5 x+\left(5 x+2 e^x x+5 x^2\right) \log (x)\right)}{e^x x^2+5 x^3} \, dx","Integrate[(2*E^x*x^3 + 10*x^4 + E^x*x*(E^x + 5*x)*(E^x + 5*x + (5*x + 2*E^x*x + 5*x^2)*Log[x]))/(E^x*x^2 + 5*x^3),x]","x^2+e^x \left(5 x+e^x\right) \log (x)","x^2+e^x \left(5 x+e^x\right) \log (x)",1,"x^2 + E^x*(E^x + 5*x)*Log[x]","A",1
4221,1,14,22,0.03598,"\int \frac{-5 e-5 x-5 e \log (x)}{512 x^2 \log ^2(x)} \, dx","Integrate[(-5*E - 5*x - 5*E*Log[x])/(512*x^2*Log[x]^2),x]","\frac{5 (x+e)}{512 x \log (x)}","\frac{5}{2} \left(\frac{x+e}{256 x \log (x)}-9\right)+4",1,"(5*(E + x))/(512*x*Log[x])","A",1
4222,1,31,31,0.3658838,"\int \frac{18+6 x-22 x^2-6 x^3+6 x^4+2 x^5+e^8 (2+2 x)+e^4 \left(12+8 x-8 x^2-4 x^3\right)+e^{2 e^x} \left(2 x^2+2 x^3\right)+e^{e^x} \left(12 x+8 x^2-8 x^3-4 x^4+e^4 \left(4 x+4 x^2\right)\right)+e^{\frac{1}{3+e^4-x+e^{e^x} x-x^2}} \left(-9-e^8+5 x+3 x^2-e^{2 e^x} x^2-2 x^3-x^4+e^4 \left(-6+2 x+2 x^2\right)+e^{e^x} \left(-5 x-2 e^4 x+2 x^2+e^x x^2+2 x^3\right)\right)}{9+e^8-6 x-5 x^2+e^{2 e^x} x^2+2 x^3+x^4+e^4 \left(6-2 x-2 x^2\right)+e^{e^x} \left(6 x+2 e^4 x-2 x^2-2 x^3\right)} \, dx","Integrate[(18 + 6*x - 22*x^2 - 6*x^3 + 6*x^4 + 2*x^5 + E^8*(2 + 2*x) + E^4*(12 + 8*x - 8*x^2 - 4*x^3) + E^(2*E^x)*(2*x^2 + 2*x^3) + E^E^x*(12*x + 8*x^2 - 8*x^3 - 4*x^4 + E^4*(4*x + 4*x^2)) + E^(3 + E^4 - x + E^E^x*x - x^2)^(-1)*(-9 - E^8 + 5*x + 3*x^2 - E^(2*E^x)*x^2 - 2*x^3 - x^4 + E^4*(-6 + 2*x + 2*x^2) + E^E^x*(-5*x - 2*E^4*x + 2*x^2 + E^x*x^2 + 2*x^3)))/(9 + E^8 - 6*x - 5*x^2 + E^(2*E^x)*x^2 + 2*x^3 + x^4 + E^4*(6 - 2*x - 2*x^2) + E^E^x*(6*x + 2*E^4*x - 2*x^2 - 2*x^3)),x]","x \left(-e^{\frac{1}{-x^2+e^{e^x} x-x+e^4+3}}+x+2\right)","x \left(-e^{\frac{1}{-x^2+e^{e^x} x-x+e^4+3}}+x+2\right)",1,"x*(2 - E^(3 + E^4 - x + E^E^x*x - x^2)^(-1) + x)","A",1
4223,1,26,31,0.179507,"\int \frac{15 x^2-3 x^3+\left(45 x-45 x^2+10 x^3\right) \log \left(\frac{-3+2 x}{-3+x}\right)}{\left(-2250+3600 x-2120 x^2+588 x^3-78 x^4+4 x^5\right) \log ^3\left(\frac{-3+2 x}{-3+x}\right)} \, dx","Integrate[(15*x^2 - 3*x^3 + (45*x - 45*x^2 + 10*x^3)*Log[(-3 + 2*x)/(-3 + x)])/((-2250 + 3600*x - 2120*x^2 + 588*x^3 - 78*x^4 + 4*x^5)*Log[(-3 + 2*x)/(-3 + x)]^3),x]","-\frac{x^2}{4 (x-5)^2 \log ^2\left(\frac{2 x-3}{x-3}\right)}","\log (2)-\frac{x^2}{4 (5-x)^2 \log ^2\left(\frac{2 x-3}{x-3}\right)}",1,"-1/4*x^2/((-5 + x)^2*Log[(-3 + 2*x)/(-3 + x)]^2)","A",1
4224,1,22,22,0.0138308,"\int \left(1-6 x^2+5 x^4+\left(4-12 x^2\right) \log \left(\frac{1}{5} \left(-2+5 e^3\right)\right)+\left(6-6 x^2\right) \log ^2\left(\frac{1}{5} \left(-2+5 e^3\right)\right)+4 \log ^3\left(\frac{1}{5} \left(-2+5 e^3\right)\right)+\log ^4\left(\frac{1}{5} \left(-2+5 e^3\right)\right)\right) \, dx","Integrate[1 - 6*x^2 + 5*x^4 + (4 - 12*x^2)*Log[(-2 + 5*E^3)/5] + (6 - 6*x^2)*Log[(-2 + 5*E^3)/5]^2 + 4*Log[(-2 + 5*E^3)/5]^3 + Log[(-2 + 5*E^3)/5]^4,x]","x \left(x^2-\left(1+\log \left(e^3-\frac{2}{5}\right)\right)^2\right)^2","x \left(x^2-\left(1+\log \left(e^3-\frac{2}{5}\right)\right)^2\right)^2",1,"x*(x^2 - (1 + Log[-2/5 + E^3])^2)^2","A",1
4225,1,8,15,0.0026251,"\int e^{-x} (-2+2 x) \, dx","Integrate[(-2 + 2*x)/E^x,x]","-2 e^{-x} x","-2 e^{-x} x-\log ^2(2)",1,"(-2*x)/E^x","A",1
4226,1,33,29,0.9056739,"\int \frac{1}{15} \exp \left(\frac{1}{15} \left(105+15 x+5 x^2+\left(-3 x-5 x^2\right) \log \left(e^{-e^x} x\right)\right)\right) \left(12+5 x+e^x \left(3 x+5 x^2\right)+(-3-10 x) \log \left(e^{-e^x} x\right)\right) \, dx","Integrate[(E^((105 + 15*x + 5*x^2 + (-3*x - 5*x^2)*Log[x/E^E^x])/15)*(12 + 5*x + E^x*(3*x + 5*x^2) + (-3 - 10*x)*Log[x/E^E^x]))/15,x]","e^{\frac{x^2}{3}+x+7} \left(e^{-e^x} x\right)^{-\frac{1}{15} x (5 x+3)}","\exp \left(x+\frac{1}{3} x \left(x-\left(x+\frac{3}{5}\right) \log \left(e^{-e^x} x\right)\right)+7\right)",1,"E^(7 + x + x^2/3)/(x/E^E^x)^((x*(3 + 5*x))/15)","A",1
4227,1,49,31,0.1390762,"\int \left(6-6 x+3 x^2-12 x^3+15 x^4-6 x^5+e^{-2+5 e^x} \left(2 x-6 x^2+4 x^3+e^x \left(5 x^2-10 x^3+5 x^4\right)\right)\right) \, dx","Integrate[6 - 6*x + 3*x^2 - 12*x^3 + 15*x^4 - 6*x^5 + E^(-2 + 5*E^x)*(2*x - 6*x^2 + 4*x^3 + E^x*(5*x^2 - 10*x^3 + 5*x^4)),x]","-\frac{x \left(e^2 \left(x^5-3 x^4+3 x^3-x^2+3 x-6\right)-e^{5 e^x} (x-1)^2 x\right)}{e^2}","(1-x)^2 \left(x^2 \left((1-x) x+e^{5 e^x-2}\right)-3\right)",1,"-((x*(-(E^(5*E^x)*(-1 + x)^2*x) + E^2*(-6 + 3*x - x^2 + 3*x^3 - 3*x^4 + x^5)))/E^2)","A",1
4228,1,23,20,0.0494975,"\int \frac{x+e^x \left(-3 x+x^2\right)+377801998336 e^{16+\log ^2(28 x)} x^8 (-24+8 x+(-6+2 x) \log (28 x))}{-3 x+x^2} \, dx","Integrate[(x + E^x*(-3*x + x^2) + 377801998336*E^(16 + Log[28*x]^2)*x^8*(-24 + 8*x + (-6 + 2*x)*Log[28*x]))/(-3*x + x^2),x]","377801998336 x^8 e^{\log ^2(28 x)+16}+e^x+\log (x-3)","e^x+\log (3-x)+e^{(\log (28 x)+4)^2}",1,"E^x + 377801998336*E^(16 + Log[28*x]^2)*x^8 + Log[-3 + x]","A",1
4229,1,18,23,0.0597045,"\int \frac{-3-x+2 x^2+\left(-3+4 x+2 x^2\right) \log (x)}{\left(-3 x-x^2+2 x^3\right) \log (x)} \, dx","Integrate[(-3 - x + 2*x^2 + (-3 + 4*x + 2*x^2)*Log[x])/((-3*x - x^2 + 2*x^3)*Log[x]),x]","\log (3-2 x)+\log (x)-\log (x+1)+\log (\log (x))","\log (x)-\log \left(\frac{2}{\left(\frac{5}{x+1}-2\right) \log (x)}\right)",1,"Log[3 - 2*x] + Log[x] - Log[1 + x] + Log[Log[x]]","A",1
4230,1,24,22,0.0209145,"\int \frac{(16+20 x) \log \left(\frac{1}{16} \left(64+80 x+25 x^2+(-64-40 x) \log ^2(4)+16 \log ^4(4)+\left(64+40 x-32 \log ^2(4)\right) \log (x)+16 \log ^2(x)\right)\right)}{8 x+5 x^2-4 x \log ^2(4)+4 x \log (x)} \, dx","Integrate[((16 + 20*x)*Log[(64 + 80*x + 25*x^2 + (-64 - 40*x)*Log[4]^2 + 16*Log[4]^4 + (64 + 40*x - 32*Log[4]^2)*Log[x] + 16*Log[x]^2)/16])/(8*x + 5*x^2 - 4*x*Log[4]^2 + 4*x*Log[x]),x]","\log ^2\left(\frac{1}{16} \left(5 x+4 \log (x)+8-4 \log ^2(4)\right)^2\right)","\log ^2\left(\left(-\frac{5 x}{4}-\log (x)-2+\log ^2(4)\right)^2\right)-5",1,"Log[(8 + 5*x - 4*Log[4]^2 + 4*Log[x])^2/16]^2","A",1
4231,1,14,21,0.0739352,"\int \frac{6+e^x \left(-2 x+x^2\right)}{-2 x+e^x x^2} \, dx","Integrate[(6 + E^x*(-2*x + x^2))/(-2*x + E^x*x^2),x]","\log \left(2-e^x x\right)-3 \log (x)","\log \left(\frac{2}{x}-e^x\right)-\log \left(64 x^2\right)",1,"-3*Log[x] + Log[2 - E^x*x]","A",1
4232,1,152,24,0.1568174,"\int \frac{e^2 (-2-6 x)+4 x+12 x^2+\left(-6 x+6 e^2 x-30 x^2\right) \log (4)+18 x^2 \log ^2(4)+\left(-8 x+8 e^2 x-40 x^2+48 x^2 \log (4)\right) \log (16)+32 x^2 \log ^2(16)+\left(2+8 x-2 e^2 x+10 x^2+\left(-6 x-12 x^2\right) \log (4)+\left(-8 x-16 x^2\right) \log (16)\right) \log (x)+\left(2 x+2 x^2\right) \log ^2(x)}{x} \, dx","Integrate[(E^2*(-2 - 6*x) + 4*x + 12*x^2 + (-6*x + 6*E^2*x - 30*x^2)*Log[4] + 18*x^2*Log[4]^2 + (-8*x + 8*E^2*x - 40*x^2 + 48*x^2*Log[4])*Log[16] + 32*x^2*Log[16]^2 + (2 + 8*x - 2*E^2*x + 10*x^2 + (-6*x - 12*x^2)*Log[4] + (-8*x - 16*x^2)*Log[16])*Log[x] + (2*x + 2*x^2)*Log[x]^2)/x,x]","2 \left(2 x^2+\frac{1}{2} x^2 \log ^2(x)-\frac{5}{2} x^2 \log (256) \log (x)-\frac{1}{2} x^2 \log (16) \log (x)+2 x^2 \log (x)+\frac{5}{2} x^2 \log (16) \log (4194304)+\frac{1}{2} x^2 \log (4) \log (4194304)-\frac{5}{2} x^2 \log (4194304)+\frac{5}{4} x^2 \log (256)+\frac{1}{4} x^2 \log (16)-2 e^2 x+x \log ^2(x)+\frac{\log ^2(x)}{2}-2 x \log (2048) \log (x)-e^2 x \log (x)+2 x \log (x)+2 e^2 x \log (2048)-e^2 \log (x)\right)","\left(\log (x)+x (\log (x)+2-4 \log (16)-3 \log (4))-e^2\right)^2",1,"2*(-2*E^2*x + 2*x^2 + (x^2*Log[16])/4 + (5*x^2*Log[256])/4 + 2*E^2*x*Log[2048] - (5*x^2*Log[4194304])/2 + (x^2*Log[4]*Log[4194304])/2 + (5*x^2*Log[16]*Log[4194304])/2 - E^2*Log[x] + 2*x*Log[x] - E^2*x*Log[x] + 2*x^2*Log[x] - (x^2*Log[16]*Log[x])/2 - (5*x^2*Log[256]*Log[x])/2 - 2*x*Log[2048]*Log[x] + Log[x]^2/2 + x*Log[x]^2 + (x^2*Log[x]^2)/2)","B",0
4233,1,39,18,0.6465658,"\int \left(e^{4 x+4 x^2+x^3} \left(1296+2880 x+2016 x^2+432 x^3\right)+e^{8 x+8 x^2+2 x^3} \left(144+392 x+384 x^2+160 x^3+24 x^4\right)\right) \, dx","Integrate[E^(4*x + 4*x^2 + x^3)*(1296 + 2880*x + 2016*x^2 + 432*x^3) + E^(8*x + 8*x^2 + 2*x^3)*(144 + 392*x + 384*x^2 + 160*x^3 + 24*x^4),x]","4 e^{(x-2) (x+2)^2} (x+2) \left(e^{(x+2)^3} (x+2)+36 e^{2 (x+2)^2}\right)","\left(2 e^{x (x+2)^2} (x+2)+36\right)^2",1,"4*E^((-2 + x)*(2 + x)^2)*(2 + x)*(36*E^(2*(2 + x)^2) + E^(2 + x)^3*(2 + x))","B",1
4234,1,19,29,0.0000772,"\int \left(-51-250 x-300 x^2-400 x^3\right) \, dx","Integrate[-51 - 250*x - 300*x^2 - 400*x^3,x]","-100 x^4-100 x^3-125 x^2-51 x","-\left(-x^2+(x+5 (2 x+1)) x+5\right)^2-x+\frac{1}{e}",1,"-51*x - 125*x^2 - 100*x^3 - 100*x^4","A",1
4235,1,21,19,0.0327597,"\int \frac{1}{4} \left(-125+75 x-15 x^2+x^3+29^{2 x} \left(8 x+8 x^2 \log (29)\right)+29^x \left(50-40 x+6 x^2+\left(50 x-20 x^2+2 x^3\right) \log (29)\right)\right) \, dx","Integrate[(-125 + 75*x - 15*x^2 + x^3 + 29^(2*x)*(8*x + 8*x^2*Log[29]) + 29^x*(50 - 40*x + 6*x^2 + (50*x - 20*x^2 + 2*x^3)*Log[29]))/4,x]","\frac{1}{16} \left(x^2+2 \left(2\ 29^x-5\right) x+25\right)^2","\left(\frac{1}{4} (5-x)^2+29^x x\right)^2",1,"(25 + 2*(-5 + 2*29^x)*x + x^2)^2/16","A",1
4236,1,21,22,0.1600901,"\int \frac{-25 x-10 x^2-x^3+e^{\frac{e^4}{x}} \left(x^2+e^4 (5+x)\right)}{25 x^2+10 x^3+x^4} \, dx","Integrate[(-25*x - 10*x^2 - x^3 + E^(E^4/x)*(x^2 + E^4*(5 + x)))/(25*x^2 + 10*x^3 + x^4),x]","-\frac{e^{\frac{e^4}{x}}}{x+5}-\log (x)","-\frac{e^{\frac{e^4}{x}}}{x+5}-\log (x)+2",1,"-(E^(E^4/x)/(5 + x)) - Log[x]","A",1
4237,1,27,26,0.0577341,"\int \frac{e^{2 x}+\left(5+\frac{1}{16} e^{2 x} (88+16 x)\right) \log (i \pi +\log (2))}{\log (i \pi +\log (2))} \, dx","Integrate[(E^(2*x) + (5 + (E^(2*x)*(88 + 16*x))/16)*Log[I*Pi + Log[2]])/Log[I*Pi + Log[2]],x]","5 x+\frac{1}{2} e^{2 x} \left(x+5+\frac{1}{\log (\log (2)+i \pi )}\right)","\left(\frac{e^{2 x}}{2}+5\right) \left(x+5+\frac{1}{\log (\log (2)+i \pi )}\right)",1,"5*x + (E^(2*x)*(5 + x + Log[I*Pi + Log[2]]^(-1)))/2","A",1
4238,1,16,19,0.3017899,"\int \frac{\exp \left(\frac{160016-128625 x+38900 x^2-5270 x^3+276 x^4-x^5}{625-500 x+150 x^2-20 x^3+x^4}\right) \left(-3061+3125 x-1250 x^2+250 x^3-25 x^4+x^5\right)}{-3125+3125 x-1250 x^2+250 x^3-25 x^4+x^5} \, dx","Integrate[(E^((160016 - 128625*x + 38900*x^2 - 5270*x^3 + 276*x^4 - x^5)/(625 - 500*x + 150*x^2 - 20*x^3 + x^4))*(-3061 + 3125*x - 1250*x^2 + 250*x^3 - 25*x^4 + x^5))/(-3125 + 3125*x - 1250*x^2 + 250*x^3 - 25*x^4 + x^5),x]","-e^{-x+\frac{16}{(x-5)^4}+256}","-e^{-x+\frac{16}{(x-5)^4}+256}+3+e",1,"-E^(256 + 16/(-5 + x)^4 - x)","A",1
4239,1,41,26,0.1608413,"\int \frac{e^{2 x} \left(4 x-x^3\right)+e^{2 x} \left(-8 x-8 x^2+4 x^3+2 x^4\right) \log (x)+\left(1+e^{2 x} \left(x+6 x^2+4 x^3\right)\right) \log ^2(x)+e^{2 x} \left(2 x+2 x^2\right) \log ^3(x)}{\log ^2(x)} \, dx","Integrate[(E^(2*x)*(4*x - x^3) + E^(2*x)*(-8*x - 8*x^2 + 4*x^3 + 2*x^4)*Log[x] + (1 + E^(2*x)*(x + 6*x^2 + 4*x^3))*Log[x]^2 + E^(2*x)*(2*x + 2*x^2)*Log[x]^3)/Log[x]^2,x]","2 e^{2 x} x^3+e^{2 x} x^2 \log (x)+\frac{e^{2 x} \left(x^2-4\right) x^2}{\log (x)}+x","x-\frac{e^{2 x} x^2 \left(4-(x+\log (x))^2\right)}{\log (x)}",1,"x + 2*E^(2*x)*x^3 + (E^(2*x)*x^2*(-4 + x^2))/Log[x] + E^(2*x)*x^2*Log[x]","A",1
4240,1,15,19,0.0074782,"\int \frac{120 x+(-28+8 x) \log ^2(-7+2 x)}{\left(-7 x+2 x^2\right) \log ^2(-7+2 x)} \, dx","Integrate[(120*x + (-28 + 8*x)*Log[-7 + 2*x]^2)/((-7*x + 2*x^2)*Log[-7 + 2*x]^2),x]","4 \left(\log (x)-\frac{15}{\log (2 x-7)}\right)","4 \left(\log \left(\frac{x}{2}\right)-\frac{15}{\log (2 x-7)}\right)",1,"4*(Log[x] - 15/Log[-7 + 2*x])","A",1
4241,1,535,23,1.1848766,"\int \frac{-64 x^3-32 x^4-4 x^7+\left(-192 x^2-160 x^3-8 x^4-24 x^6\right) \log (49)+\left(-192 x-288 x^2-36 x^3-60 x^5\right) \log ^2(49)+\left(-64-224 x-60 x^2-80 x^4\right) \log ^3(49)+\left(-64-44 x-60 x^3\right) \log ^4(49)+\left(-12-24 x^2\right) \log ^5(49)-4 x \log ^6(49)}{-4096-12288 x-15360 x^2-10240 x^3-3072 x^4+768 x^5+1088 x^6+384 x^7-48 x^9-12 x^{10}+x^{12}+\left(-18432-46080 x-46080 x^2-21504 x^3-384 x^4+5184 x^5+2496 x^6+192 x^7-264 x^8-84 x^9+6 x^{11}\right) \log (49)+\left(-34560-69120 x-51072 x^2-11136 x^3+8496 x^4+6432 x^5+984 x^6-576 x^7-243 x^8+15 x^{10}\right) \log ^2(49)+\left(-34560-51840 x-23616 x^2+4320 x^3+8208 x^4+2040 x^5-624 x^6-372 x^7+20 x^9\right) \log ^3(49)+\left(-19440-19440 x-2268 x^2+5184 x^3+2139 x^4-336 x^5-318 x^6+15 x^8\right) \log ^4(49)+\left(-5832-2916 x+1296 x^2+1134 x^3-72 x^4-144 x^5+6 x^7\right) \log ^5(49)+\left(-729+243 x^2-27 x^4+x^6\right) \log ^6(49)} \, dx","Integrate[(-64*x^3 - 32*x^4 - 4*x^7 + (-192*x^2 - 160*x^3 - 8*x^4 - 24*x^6)*Log[49] + (-192*x - 288*x^2 - 36*x^3 - 60*x^5)*Log[49]^2 + (-64 - 224*x - 60*x^2 - 80*x^4)*Log[49]^3 + (-64 - 44*x - 60*x^3)*Log[49]^4 + (-12 - 24*x^2)*Log[49]^5 - 4*x*Log[49]^6)/(-4096 - 12288*x - 15360*x^2 - 10240*x^3 - 3072*x^4 + 768*x^5 + 1088*x^6 + 384*x^7 - 48*x^9 - 12*x^10 + x^12 + (-18432 - 46080*x - 46080*x^2 - 21504*x^3 - 384*x^4 + 5184*x^5 + 2496*x^6 + 192*x^7 - 264*x^8 - 84*x^9 + 6*x^11)*Log[49] + (-34560 - 69120*x - 51072*x^2 - 11136*x^3 + 8496*x^4 + 6432*x^5 + 984*x^6 - 576*x^7 - 243*x^8 + 15*x^10)*Log[49]^2 + (-34560 - 51840*x - 23616*x^2 + 4320*x^3 + 8208*x^4 + 2040*x^5 - 624*x^6 - 372*x^7 + 20*x^9)*Log[49]^3 + (-19440 - 19440*x - 2268*x^2 + 5184*x^3 + 2139*x^4 - 336*x^5 - 318*x^6 + 15*x^8)*Log[49]^4 + (-5832 - 2916*x + 1296*x^2 + 1134*x^3 - 72*x^4 - 144*x^5 + 6*x^7)*Log[49]^5 + (-729 + 243*x^2 - 27*x^4 + x^6)*Log[49]^6),x]","\frac{(4+3 \log (49))^2 \left(-240+\log ^4(49)-56 \log ^2(49)-256 \log (49)\right) \left(2 x^3 \left(3 \log ^6(49)+4 \log ^5(49)-164 \log ^4(49)-2 \log ^3(49) (492+\log (2401))-4 \log ^2(49) (440+\log (2401))+8 \log (49) (\log (2401)-124)+16 \log (2401)\right)+x^2 \left(15 \log ^7(49)+20 \log ^6(49)-818 \log ^5(49)-5 \log ^4(49) (984+\log (2401))-12 \log ^3(49) (782+\log (2401))-4 \log ^2(49) (2152+\log (2401))-128 (30+\log (2401))-80 \log (49) (84+\log (2401))\right)+2 x \left(6 \log ^8(49)+8 \log ^7(49)-320 \log ^6(49)+\log ^5(49) (\log (2401)-1936)-4340 \log ^4(49)-2 \log ^3(49) (4248+31 \log (2401))-24 \log ^2(49) (718+15 \log (2401))-96 (80+3 \log (2401))-8 \log (49) (2392+73 \log (2401))\right)+(4+3 \log (49)) \left(\log ^8(49)-49 \log ^6(49)+\log ^5(49) (\log (2401)-232)-652 \log ^4(49)-2 \log ^3(49) (1640+19 \log (2401))-8 \log ^2(49) (1100+23 \log (2401))-32 (120+\log (2401))-8 \log (49) (1224+25 \log (2401))\right)\right)+\left(27 \log ^{11}(49)+108 \log ^{10}(49)-2640 \log ^9(49)-8 \log ^8(49) (3103+15 \log (2401))-4 \log ^7(49) (1870+129 \log (2401))+4 \log ^6(49) (228864+971 \log (2401))+64 \log ^5(49) (91161+505 \log (2401))+32 \log ^4(49) (560004+1675 \log (2401))-64 \log ^3(49) (2521 \log (2401)-492390)-448 \log ^2(49) (1723 \log (2401)-71392)-12288 (41 \log (2401)-300)-1536 \log (49) (701 \log (2401)-11176)\right) \left(x^4+2 x^3 \log (49)+x^2 \left(\log ^2(49)-4\right)-4 x (4+3 \log (49))-(4+3 \log (49))^2\right)}{(4+3 \log (49))^3 \left(240-\log ^4(49)+56 \log ^2(49)+256 \log (49)\right)^2 \left(x^4+2 x^3 \log (49)+x^2 \left(\log ^2(49)-4\right)-4 x (4+3 \log (49))-(4+3 \log (49))^2\right)^2}","\frac{1}{\left(x^2-\left(3-\frac{x-4}{x+\log (49)}\right)^2\right)^2}",1,"((x^4 + 2*x^3*Log[49] - 4*x*(4 + 3*Log[49]) - (4 + 3*Log[49])^2 + x^2*(-4 + Log[49]^2))*(-2640*Log[49]^9 + 108*Log[49]^10 + 27*Log[49]^11 - 8*Log[49]^8*(3103 + 15*Log[2401]) - 12288*(-300 + 41*Log[2401]) - 4*Log[49]^7*(1870 + 129*Log[2401]) + 64*Log[49]^5*(91161 + 505*Log[2401]) - 1536*Log[49]*(-11176 + 701*Log[2401]) + 4*Log[49]^6*(228864 + 971*Log[2401]) + 32*Log[49]^4*(560004 + 1675*Log[2401]) - 448*Log[49]^2*(-71392 + 1723*Log[2401]) - 64*Log[49]^3*(-492390 + 2521*Log[2401])) + (4 + 3*Log[49])^2*(-240 - 256*Log[49] - 56*Log[49]^2 + Log[49]^4)*(2*x^3*(-164*Log[49]^4 + 4*Log[49]^5 + 3*Log[49]^6 + 8*Log[49]*(-124 + Log[2401]) + 16*Log[2401] - 4*Log[49]^2*(440 + Log[2401]) - 2*Log[49]^3*(492 + Log[2401])) + x^2*(-818*Log[49]^5 + 20*Log[49]^6 + 15*Log[49]^7 - 128*(30 + Log[2401]) - 80*Log[49]*(84 + Log[2401]) - 12*Log[49]^3*(782 + Log[2401]) - 5*Log[49]^4*(984 + Log[2401]) - 4*Log[49]^2*(2152 + Log[2401])) + (4 + 3*Log[49])*(-652*Log[49]^4 - 49*Log[49]^6 + Log[49]^8 + Log[49]^5*(-232 + Log[2401]) - 32*(120 + Log[2401]) - 2*Log[49]^3*(1640 + 19*Log[2401]) - 8*Log[49]^2*(1100 + 23*Log[2401]) - 8*Log[49]*(1224 + 25*Log[2401])) + 2*x*(-4340*Log[49]^4 - 320*Log[49]^6 + 8*Log[49]^7 + 6*Log[49]^8 + Log[49]^5*(-1936 + Log[2401]) - 96*(80 + 3*Log[2401]) - 24*Log[49]^2*(718 + 15*Log[2401]) - 2*Log[49]^3*(4248 + 31*Log[2401]) - 8*Log[49]*(2392 + 73*Log[2401]))))/((4 + 3*Log[49])^3*(240 + 256*Log[49] + 56*Log[49]^2 - Log[49]^4)^2*(x^4 + 2*x^3*Log[49] - 4*x*(4 + 3*Log[49]) - (4 + 3*Log[49])^2 + x^2*(-4 + Log[49]^2))^2)","B",1
4242,1,26,27,0.3188458,"\int \frac{-580+600 x-150 x^2+\left(100-100 x+25 x^2\right) \log (2)+e^{2 x} (-54+9 \log (2))+e^x (354-174 x+(-60+30 x) \log (2))}{-600+600 x-150 x^2+\left(100-100 x+25 x^2\right) \log (2)+e^{2 x} (-54+9 \log (2))+e^x (360-180 x+(-60+30 x) \log (2))} \, dx","Integrate[(-580 + 600*x - 150*x^2 + (100 - 100*x + 25*x^2)*Log[2] + E^(2*x)*(-54 + 9*Log[2]) + E^x*(354 - 174*x + (-60 + 30*x)*Log[2]))/(-600 + 600*x - 150*x^2 + (100 - 100*x + 25*x^2)*Log[2] + E^(2*x)*(-54 + 9*Log[2]) + E^x*(360 - 180*x + (-60 + 30*x)*Log[2])),x]","\frac{x \left(\frac{2}{-5 x-3 e^x+10}-6+\log (2)\right)}{\log (2)-6}","x+\frac{x}{\left(-x-\frac{3}{2} \left(x+e^x\right)+5\right) (\log (2)-6)}+3",1,"(x*(-6 + 2/(10 - 3*E^x - 5*x) + Log[2]))/(-6 + Log[2])","A",1
4243,1,32,30,0.1086022,"\int \frac{4-3 x^2-3 x^3+6 x^5-2 x^6+\left(4 x-4 x^3+2 x^4\right) \log (x)+\left(-x^2+x^5-x^3 \log (x)\right) \log \left(\frac{1-x^3+x \log (x)}{x}\right)}{\left(4 x+x^2+4 x^3-5 x^4-x^5-4 x^6+x^7+\left(4 x^2+x^3+4 x^4-x^5\right) \log (x)+\left(x^3-x^6+x^4 \log (x)\right) \log \left(\frac{1-x^3+x \log (x)}{x}\right)\right) \log ^2\left(\frac{4+x+4 x^2-x^3+x^2 \log \left(\frac{1-x^3+x \log (x)}{x}\right)}{x}\right)} \, dx","Integrate[(4 - 3*x^2 - 3*x^3 + 6*x^5 - 2*x^6 + (4*x - 4*x^3 + 2*x^4)*Log[x] + (-x^2 + x^5 - x^3*Log[x])*Log[(1 - x^3 + x*Log[x])/x])/((4*x + x^2 + 4*x^3 - 5*x^4 - x^5 - 4*x^6 + x^7 + (4*x^2 + x^3 + 4*x^4 - x^5)*Log[x] + (x^3 - x^6 + x^4*Log[x])*Log[(1 - x^3 + x*Log[x])/x])*Log[(4 + x + 4*x^2 - x^3 + x^2*Log[(1 - x^3 + x*Log[x])/x])/x]^2),x]","\frac{1}{\log \left(-x^2+x \log \left(-x^2+\frac{1}{x}+\log (x)\right)+4 x+\frac{4}{x}+1\right)}","\frac{1}{\log \left(x \left(\log \left(-x^2+\frac{1}{x}+\log (x)\right)-x+4\right)+\frac{x+4}{x}\right)}",1,"Log[1 + 4/x + 4*x - x^2 + x*Log[x^(-1) - x^2 + Log[x]]]^(-1)","A",1
4244,1,21,27,0.2290833,"\int \frac{(1-x) \log (5)}{-4 x-4 x^2+4 x \log \left(\frac{3 x}{4}\right)+\left(-4 x-4 x^2+4 x \log \left(\frac{3 x}{4}\right)\right) \log \left(1+x-\log \left(\frac{3 x}{4}\right)\right)} \, dx","Integrate[((1 - x)*Log[5])/(-4*x - 4*x^2 + 4*x*Log[(3*x)/4] + (-4*x - 4*x^2 + 4*x*Log[(3*x)/4])*Log[1 + x - Log[(3*x)/4]]),x]","\frac{1}{4} \log (5) \log \left(\log \left(x-\log \left(\frac{3 x}{4}\right)+1\right)+1\right)","\frac{1}{4} \log (5) \left(\log \left(\frac{1}{2} \left(\log \left(x-\log \left(\frac{3 x}{4}\right)+1\right)+1\right)\right)+1\right)",1,"(Log[5]*Log[1 + Log[1 + x - Log[(3*x)/4]]])/4","A",1
4245,1,31,27,0.0525595,"\int \frac{156-30 x^2+\left(-52+12 x^2\right) \log (x)+\left(13-3 x^2\right) \log \left(\frac{1}{3} \left(-52+12 x^2\right)\right)}{-52 x^2+12 x^4} \, dx","Integrate[(156 - 30*x^2 + (-52 + 12*x^2)*Log[x] + (13 - 3*x^2)*Log[(-52 + 12*x^2)/3])/(-52*x^2 + 12*x^4),x]","\frac{1}{4} \left(\frac{\log \left(4 x^2-\frac{52}{3}\right)}{x}+\frac{8}{x}-\frac{4 \log (x)}{x}\right)","\frac{\frac{1}{4} \log \left(4 \left(x^2-\frac{13}{3}\right)\right)-x-\log (x)+2}{x}",1,"(8/x - (4*Log[x])/x + Log[-52/3 + 4*x^2]/x)/4","A",1
4246,1,13,20,0.2452244,"\int \frac{-2+e^{5 x} (-2-10 x)+\left(-2-2 e^{5 x}\right) \log \left(x+e^{5 x} x\right)}{1+e^{5 x}} \, dx","Integrate[(-2 + E^(5*x)*(-2 - 10*x) + (-2 - 2*E^(5*x))*Log[x + E^(5*x)*x])/(1 + E^(5*x)),x]","-2 x \log \left(\left(e^{5 x}+1\right) x\right)","5-\log \left(e^{2 x}\right) \log \left(e^{5 x} x+x\right)",1,"-2*x*Log[(1 + E^(5*x))*x]","A",1
4247,1,20,20,0.0145095,"\int \frac{-32-2 x}{e^{3 e^2} \left(e^4 x+2 e^2 x^2+x^3\right)+e^{3 e^2} \left(32 e^2 x+32 x^2\right) \log (x)+256 e^{3 e^2} x \log ^2(x)} \, dx","Integrate[(-32 - 2*x)/(E^(3*E^2)*(E^4*x + 2*E^2*x^2 + x^3) + E^(3*E^2)*(32*E^2*x + 32*x^2)*Log[x] + 256*E^(3*E^2)*x*Log[x]^2),x]","\frac{2 e^{-3 e^2}}{x+16 \log (x)+e^2}","\frac{2 e^{-3 e^2}}{x+16 \log (x)+e^2}",1,"2/(E^(3*E^2)*(E^2 + x + 16*Log[x]))","A",1
4248,1,29,27,0.144569,"\int \frac{\left(-15-5 e x^2\right) \log \left(\frac{4}{3 x \log (2)}\right)+\log (x) \left(-15-5 e x^2+10 e x^2 \log \left(\frac{4}{3 x \log (2)}\right)\right)}{e x \log ^2(x)} \, dx","Integrate[((-15 - 5*E*x^2)*Log[4/(3*x*Log[2])] + Log[x]*(-15 - 5*E*x^2 + 10*E*x^2*Log[4/(3*x*Log[2])]))/(E*x*Log[x]^2),x]","\frac{\frac{5 \left(e x^2+3\right) \log \left(\frac{4}{x \log (8)}\right)}{\log (x)}+15}{e}","\frac{5 \left(x^2+\frac{3}{e}\right) \log \left(\frac{4}{3 x \log (2)}\right)}{\log (x)}",1,"(15 + (5*(3 + E*x^2)*Log[4/(x*Log[8])])/Log[x])/E","A",1
4249,1,32,30,0.4358777,"\int \frac{100-50 x+e^{-e^{-3+x}+x} \left(-19-e^{-3+x}+10 x\right)}{-25+5 e^{-e^{-3+x}+x}} \, dx","Integrate[(100 - 50*x + E^(-E^(-3 + x) + x)*(-19 - E^(-3 + x) + 10*x))/(-25 + 5*E^(-E^(-3 + x) + x)),x]","\frac{1}{5} \left(5 (x-4) x-e^{x-3}+\log \left(e^x-5 e^{e^{x-3}}\right)\right)","(x-4) x+\frac{1}{5} \log \left(5-e^{x-e^{x-3}}\right)-\log (4)",1,"(-E^(-3 + x) + 5*(-4 + x)*x + Log[-5*E^E^(-3 + x) + E^x])/5","A",1
4250,1,26,17,1.9747644,"\int \frac{31250 x^4-100 x^8+20 x^8 \log (x)}{390625-10000 x^4+2500 x^5+64 x^8-32 x^9+4 x^{10}+\left(2500 x^4-32 x^8+8 x^9\right) \log (x)+4 x^8 \log ^2(x)} \, dx","Integrate[(31250*x^4 - 100*x^8 + 20*x^8*Log[x])/(390625 - 10000*x^4 + 2500*x^5 + 64*x^8 - 32*x^9 + 4*x^10 + (2500*x^4 - 32*x^8 + 8*x^9)*Log[x] + 4*x^8*Log[x]^2),x]","\frac{10 x^5}{2 x^5-8 x^4+2 x^4 \log (x)+625}","\frac{5 x}{\frac{625}{2 x^4}+x+\log (x)-4}",1,"(10*x^5)/(625 - 8*x^4 + 2*x^5 + 2*x^4*Log[x])","A",1
4251,0,0,22,2.5275379,"\int \exp \left(100 x^2-40 x \log (4)+4 \log ^2(4)+4 \left(-10 x^3-20 x^4-10 x^5+\left(2 x^2+4 x^3+2 x^4\right) \log (4)\right) \log (x)+4 \left(x^4+4 x^5+6 x^6+4 x^7+x^8\right) \log ^2(x)\right) \left(200 x-40 x^2-80 x^3-40 x^4+\left(-40+8 x+16 x^2+8 x^3\right) \log (4)+\left(-120 x^2-312 x^3-168 x^4+48 x^5+32 x^6+8 x^7+\left(16 x+48 x^2+32 x^3\right) \log (4)\right) \log (x)+\left(16 x^3+80 x^4+144 x^5+112 x^6+32 x^7\right) \log ^2(x)\right) \, dx","Integrate[E^(100*x^2 - 40*x*Log[4] + 4*Log[4]^2 + 4*(-10*x^3 - 20*x^4 - 10*x^5 + (2*x^2 + 4*x^3 + 2*x^4)*Log[4])*Log[x] + 4*(x^4 + 4*x^5 + 6*x^6 + 4*x^7 + x^8)*Log[x]^2)*(200*x - 40*x^2 - 80*x^3 - 40*x^4 + (-40 + 8*x + 16*x^2 + 8*x^3)*Log[4] + (-120*x^2 - 312*x^3 - 168*x^4 + 48*x^5 + 32*x^6 + 8*x^7 + (16*x + 48*x^2 + 32*x^3)*Log[4])*Log[x] + (16*x^3 + 80*x^4 + 144*x^5 + 112*x^6 + 32*x^7)*Log[x]^2),x]","\int \exp \left(100 x^2-40 x \log (4)+4 \log ^2(4)+4 \left(-10 x^3-20 x^4-10 x^5+\left(2 x^2+4 x^3+2 x^4\right) \log (4)\right) \log (x)+4 \left(x^4+4 x^5+6 x^6+4 x^7+x^8\right) \log ^2(x)\right) \left(200 x-40 x^2-80 x^3-40 x^4+\left(-40+8 x+16 x^2+8 x^3\right) \log (4)+\left(-120 x^2-312 x^3-168 x^4+48 x^5+32 x^6+8 x^7+\left(16 x+48 x^2+32 x^3\right) \log (4)\right) \log (x)+\left(16 x^3+80 x^4+144 x^5+112 x^6+32 x^7\right) \log ^2(x)\right) \, dx","e^{4 \left(\left(x^2+x\right)^2 \log (x)-5 x+\log (4)\right)^2}",1,"Integrate[E^(100*x^2 - 40*x*Log[4] + 4*Log[4]^2 + 4*(-10*x^3 - 20*x^4 - 10*x^5 + (2*x^2 + 4*x^3 + 2*x^4)*Log[4])*Log[x] + 4*(x^4 + 4*x^5 + 6*x^6 + 4*x^7 + x^8)*Log[x]^2)*(200*x - 40*x^2 - 80*x^3 - 40*x^4 + (-40 + 8*x + 16*x^2 + 8*x^3)*Log[4] + (-120*x^2 - 312*x^3 - 168*x^4 + 48*x^5 + 32*x^6 + 8*x^7 + (16*x + 48*x^2 + 32*x^3)*Log[4])*Log[x] + (16*x^3 + 80*x^4 + 144*x^5 + 112*x^6 + 32*x^7)*Log[x]^2), x]","F",-1
4252,1,29,30,2.3319796,"\int \frac{10 x-20 x \log (x)+\left(45+110 x+27 x^2\right) \log ^2(x)}{-10 x^2 \log (x)+\left(45 x+55 x^2+9 x^3\right) \log ^2(x)} \, dx","Integrate[(10*x - 20*x*Log[x] + (45 + 110*x + 27*x^2)*Log[x]^2)/(-10*x^2*Log[x] + (45*x + 55*x^2 + 9*x^3)*Log[x]^2),x]","\log \left(9 x^2 \log (x)-10 x+55 x \log (x)+45 \log (x)\right)+\log (x)-\log (\log (x))","\log \left(\frac{1}{3} x \left((-x-3)^2-x \left(-\frac{4 x}{5}+\frac{2}{\log (x)}-5\right)\right)\right)",1,"Log[x] - Log[Log[x]] + Log[-10*x + 45*Log[x] + 55*x*Log[x] + 9*x^2*Log[x]]","A",1
4253,1,18,22,0.0112631,"\int \frac{4 x^2+24 x^4+e^{2 x} (-1+2 x)}{x^2} \, dx","Integrate[(4*x^2 + 24*x^4 + E^(2*x)*(-1 + 2*x))/x^2,x]","8 x^3+4 x+\frac{e^{2 x}}{x}","\left(8 x^2+2\right) x+2 x+\frac{e^{2 x}}{x}",1,"E^(2*x)/x + 4*x + 8*x^3","A",1
4254,1,20,21,0.5717318,"\int \frac{\left(-9-13 x-3 x^2\right) \log ^2(5)+(-6-2 x) \log ^2(5) \log \left(-3 x-x^2\right)}{3 x^3+7 x^4+5 x^5+x^6+\left(6 x^3+8 x^4+2 x^5\right) \log \left(-3 x-x^2\right)+\left(3 x^3+x^4\right) \log ^2\left(-3 x-x^2\right)} \, dx","Integrate[((-9 - 13*x - 3*x^2)*Log[5]^2 + (-6 - 2*x)*Log[5]^2*Log[-3*x - x^2])/(3*x^3 + 7*x^4 + 5*x^5 + x^6 + (6*x^3 + 8*x^4 + 2*x^5)*Log[-3*x - x^2] + (3*x^3 + x^4)*Log[-3*x - x^2]^2),x]","\frac{\log ^2(5)}{x^2 (x+\log (-x (x+3))+1)}","\frac{\log ^2(5)}{x^2 (x+\log ((-x-3) x)+1)}",1,"Log[5]^2/(x^2*(1 + x + Log[-(x*(3 + x))]))","A",1
4255,1,23,29,3.4452029,"\int \frac{\exp \left(-5+\frac{e^{-5+x+\frac{-10-10 x+2 x^2}{-5 x+x^2}}}{x}+x+\frac{-10-10 x+2 x^2}{-5 x+x^2}\right) \left(-50-5 x+35 x^2-11 x^3+x^4\right)}{25 x^3-10 x^4+x^5} \, dx","Integrate[(E^(-5 + E^(-5 + x + (-10 - 10*x + 2*x^2)/(-5*x + x^2))/x + x + (-10 - 10*x + 2*x^2)/(-5*x + x^2))*(-50 - 5*x + 35*x^2 - 11*x^3 + x^4))/(25*x^3 - 10*x^4 + x^5),x]","e^{\frac{e^{x-\frac{2}{x-5}+\frac{2}{x}-3}}{x}}","e^{\frac{e^{x+2 \left(\frac{1-\frac{x}{x-5}}{x}+1\right)-5}}{x}}",1,"E^(E^(-3 - 2/(-5 + x) + 2/x + x)/x)","A",1
4256,1,45,26,0.5981059,"\int \frac{e^x \left(40+30 x-10 x^2\right)+\left(20-5 x+e^x \left(80 x+20 x^2-10 x^3\right)\right) \log (\log (2))+\left(-10 e^x x+\left(-5 x-10 e^x x^2\right) \log (\log (2))\right) \log \left(\frac{2 e^x x+\left(x+2 e^x x^2\right) \log (\log (2))}{\log (\log (2))}\right)}{2 e^x x+\left(x+2 e^x x^2\right) \log (\log (2))} \, dx","Integrate[(E^x*(40 + 30*x - 10*x^2) + (20 - 5*x + E^x*(80*x + 20*x^2 - 10*x^3))*Log[Log[2]] + (-10*E^x*x + (-5*x - 10*E^x*x^2)*Log[Log[2]])*Log[(2*E^x*x + (x + 2*E^x*x^2)*Log[Log[2]])/Log[Log[2]]])/(2*E^x*x + (x + 2*E^x*x^2)*Log[Log[2]]),x]","20 \log (x)-5 x \log \left(x+2 e^x x \left(x+\frac{1}{\log (\log (2))}\right)\right)+20 \log \left(2 e^x+2 e^x x \log (\log (2))+\log (\log (2))\right)","5 (4-x) \log \left(x+e^x x \left(2 x+\frac{2}{\log (\log (2))}\right)\right)",1,"20*Log[x] - 5*x*Log[x + 2*E^x*x*(x + Log[Log[2]]^(-1))] + 20*Log[2*E^x + Log[Log[2]] + 2*E^x*x*Log[Log[2]]]","A",1
4257,1,26,26,1.2992805,"\int \frac{-4 e^{4 e^x+4 x} \log ^3\left(\frac{3}{\log (4) \log (x)}\right)+e^{4 e^x+4 x} \left(1+4 x+4 e^x x\right) \log (x) \log ^4\left(\frac{3}{\log (4) \log (x)}\right)}{\log (x)} \, dx","Integrate[(-4*E^(4*E^x + 4*x)*Log[3/(Log[4]*Log[x])]^3 + E^(4*E^x + 4*x)*(1 + 4*x + 4*E^x*x)*Log[x]*Log[3/(Log[4]*Log[x])]^4)/Log[x],x]","e^{4 x+4 e^x} x \log ^4\left(\frac{3}{\log (4) \log (x)}\right)","e^{4 \left(x+e^x\right)} x \log ^4\left(\frac{3}{\log (4) \log (x)}\right)-2",1,"E^(4*E^x + 4*x)*x*Log[3/(Log[4]*Log[x])]^4","A",1
4258,1,24,26,0.2699253,"\int \frac{e^{-2 x^2 \log ^2(5) \log ^4(x)} \left(e^{2 x^2 \log ^2(5) \log ^4(x)}+e^{e^{-2 x^2 \log ^2(5) \log ^4(x)}} \left(-16 x^2 \log ^2(5) \log ^3(x)-8 x^2 \log ^2(5) \log ^4(x)\right)\right)}{2 x} \, dx","Integrate[(E^(2*x^2*Log[5]^2*Log[x]^4) + E^E^(-2*x^2*Log[5]^2*Log[x]^4)*(-16*x^2*Log[5]^2*Log[x]^3 - 8*x^2*Log[5]^2*Log[x]^4))/(2*E^(2*x^2*Log[5]^2*Log[x]^4)*x),x]","e^{e^{-2 x^2 \log ^2(5) \log ^4(x)}}+\frac{\log (x)}{2}","e^{e^{-2 x^2 \log ^2(5) \log ^4(x)}}+\frac{\log \left(x^2\right)}{4}",1,"E^E^(-2*x^2*Log[5]^2*Log[x]^4) + Log[x]/2","A",1
4259,1,36,34,0.3264619,"\int \frac{e^{-e^{\frac{4}{\log ^2\left(\frac{x}{4}\right)}}} \left(8 e^{\frac{4}{\log ^2\left(\frac{x}{4}\right)}} x+x \log ^3\left(\frac{x}{4}\right)+e^{e^{\frac{4}{\log ^2\left(\frac{x}{4}\right)}}} \left(\left(-5+3 x+2 x^2+(1-x) \log (3)\right) \log ^3\left(\frac{x}{4}\right)-x \log ^3\left(\frac{x}{4}\right) \log (x)\right)\right)}{x \log ^3\left(\frac{x}{4}\right)} \, dx","Integrate[(8*E^(4/Log[x/4]^2)*x + x*Log[x/4]^3 + E^E^(4/Log[x/4]^2)*((-5 + 3*x + 2*x^2 + (1 - x)*Log[3])*Log[x/4]^3 - x*Log[x/4]^3*Log[x]))/(E^E^(4/Log[x/4]^2)*x*Log[x/4]^3),x]","x \left(x+e^{-e^{\frac{4}{\log ^2\left(\frac{x}{4}\right)}}}+4-\log (3)\right)+(-x-5+\log (3)) \log (x)","x e^{-e^{\frac{4}{\log ^2\left(\frac{x}{4}\right)}}}+(x+5-\log (3)) (x-\log (x)-1)",1,"x*(4 + E^(-E^(4/Log[x/4]^2)) + x - Log[3]) + (-5 - x + Log[3])*Log[x]","A",1
4260,1,22,26,0.1489191,"\int \frac{-5 \log (\log (3))+e^{e^x} \log (\log (3))+24 e^{e^x+x} \log \left(25-10 e^{e^x}+e^{2 e^x}\right) \log (\log (3))+8 e^{e^x+x} \log ^3\left(25-10 e^{e^x}+e^{2 e^x}\right) \log (\log (3))}{-5+e^{e^x}} \, dx","Integrate[(-5*Log[Log[3]] + E^E^x*Log[Log[3]] + 24*E^(E^x + x)*Log[25 - 10*E^E^x + E^(2*E^x)]*Log[Log[3]] + 8*E^(E^x + x)*Log[25 - 10*E^E^x + E^(2*E^x)]^3*Log[Log[3]])/(-5 + E^E^x),x]","\log (\log (3)) \left(x+\left(\log ^2\left(\left(e^{e^x}-5\right)^2\right)+3\right)^2\right)","\log (\log (3)) \left(x+\left(\log ^2\left(\left(5-e^{e^x}\right)^2\right)+3\right)^2\right)+5",1,"(x + (3 + Log[(-5 + E^E^x)^2]^2)^2)*Log[Log[3]]","A",1
4261,1,15,25,0.0757765,"\int \frac{2-4 x+6 x^2-2 x^3+x^4+\left(4-4 x+5 x^2-2 x^3+x^4\right) \log (x)}{4-4 x+5 x^2-2 x^3+x^4} \, dx","Integrate[(2 - 4*x + 6*x^2 - 2*x^3 + x^4 + (4 - 4*x + 5*x^2 - 2*x^3 + x^4)*Log[x])/(4 - 4*x + 5*x^2 - 2*x^3 + x^4),x]","x \left(\frac{1}{-x^2+x-2}+\log (x)\right)","\frac{x}{\frac{x}{x+\frac{2}{x}}-x}+x \log (x)-2",1,"x*((-2 + x - x^2)^(-1) + Log[x])","A",1
4262,1,53,26,0.0853875,"\int \frac{-3168+4032 x-228 x^2+342 x^3-2 x^4+8 x^5+\left(1728-1728 x-12 x^4+12 x^5\right) \log \left(x^2-x^3\right)}{-x^3+x^4} \, dx","Integrate[(-3168 + 4032*x - 228*x^2 + 342*x^3 - 2*x^4 + 8*x^5 + (1728 - 1728*x - 12*x^4 + 12*x^5)*Log[x^2 - x^3])/(-x^3 + x^4),x]","-5 x^2-\frac{720}{x^2}+6 x^2 \log \left((1-x) x^2\right)+\frac{864 \log \left((1-x) x^2\right)}{x^2}+114 \log (1-x)+228 \log (x)","\left(\left(x+\frac{12}{x}\right)^2-5\right) \left(6 \log \left(x \left(x-x^2\right)\right)-5\right)",1,"-720/x^2 - 5*x^2 + 114*Log[1 - x] + 228*Log[x] + (864*Log[(1 - x)*x^2])/x^2 + 6*x^2*Log[(1 - x)*x^2]","B",1
4263,1,36,34,0.2622737,"\int \frac{\exp \left(\frac{8-4 x-8 x^2+4 x^3+e^{x/2} (-4+4 x)+e^x \left(8-4 e^{x/2}+4 x-4 x^2\right)}{e^x-x}\right) \left(8+e^{2 x} \left(4-2 e^{x/2}-8 x\right)+8 x^2-8 x^3+e^{x/2} \left(-4+2 x-2 x^2\right)+e^x \left(-4-20 x+20 x^2+e^{x/2} (2+4 x)\right)\right)}{e^{2 x}-2 e^x x+x^2} \, dx","Integrate[(E^((8 - 4*x - 8*x^2 + 4*x^3 + E^(x/2)*(-4 + 4*x) + E^x*(8 - 4*E^(x/2) + 4*x - 4*x^2))/(E^x - x))*(8 + E^(2*x)*(4 - 2*E^(x/2) - 8*x) + 8*x^2 - 8*x^3 + E^(x/2)*(-4 + 2*x - 2*x^2) + E^x*(-4 - 20*x + 20*x^2 + E^(x/2)*(2 + 4*x))))/(E^(2*x) - 2*E^x*x + x^2),x]","\exp \left(-\frac{4 \left(-x+e^x+1\right) \left(x^2-x+e^{x/2}-2\right)}{e^x-x}\right)","e^{\frac{4}{3} \left(x^2-x+e^{x/2}-2\right) \left(\frac{3}{x-e^x}-3\right)}",1,"E^((-4*(1 + E^x - x)*(-2 + E^(x/2) - x + x^2))/(E^x - x))","A",1
4264,1,14,22,0.0117526,"\int \left(1+e^{e^{2 x}} \left(-3 x^2-2 e^{2 x} x^3\right)\right) \, dx","Integrate[1 + E^E^(2*x)*(-3*x^2 - 2*E^(2*x)*x^3),x]","x-e^{e^{2 x}} x^3","-e^{e^{2 x}} x^3+x+e^3-3-\log (3)",1,"x - E^E^(2*x)*x^3","A",1
4265,1,32,32,0.0785616,"\int \frac{-36+54 x+\left(-12+63 x-27 x^2\right) \log (x)+\left(30-36 x+27 x^2\right) \log ^2(x)}{\left(\left(6 x-9 x^2\right) \log (x)+\left(10 x-21 x^2+9 x^3\right) \log ^2(x)\right) \log \left(\frac{(-6+9 x) \log ^2(x)}{-3 x+\left(-5 x+3 x^2\right) \log (x)}\right) \log ^2\left(\log \left(\frac{(-6+9 x) \log ^2(x)}{-3 x+\left(-5 x+3 x^2\right) \log (x)}\right)\right)} \, dx","Integrate[(-36 + 54*x + (-12 + 63*x - 27*x^2)*Log[x] + (30 - 36*x + 27*x^2)*Log[x]^2)/(((6*x - 9*x^2)*Log[x] + (10*x - 21*x^2 + 9*x^3)*Log[x]^2)*Log[((-6 + 9*x)*Log[x]^2)/(-3*x + (-5*x + 3*x^2)*Log[x])]*Log[Log[((-6 + 9*x)*Log[x]^2)/(-3*x + (-5*x + 3*x^2)*Log[x])]]^2),x]","\frac{3}{\log \left(\log \left(\frac{3 (3 x-2) \log ^2(x)}{x ((3 x-5) \log (x)-3)}\right)\right)}","\frac{3}{\log \left(\log \left(\frac{3 \log (x)}{x+\frac{x+\frac{x}{\log (x)}}{\frac{2}{3}-x}}\right)\right)}",1,"3/Log[Log[(3*(-2 + 3*x)*Log[x]^2)/(x*(-3 + (-5 + 3*x)*Log[x]))]]","A",1
4266,1,15,22,0.0026869,"\int \frac{5 x^2-3 e^3 \log (5)}{x^4} \, dx","Integrate[(5*x^2 - 3*E^3*Log[5])/x^4,x]","\frac{e^3 \log (5)}{x^3}-\frac{5}{x}","\frac{5 x (5 x-1)+\frac{e^3 \log (5)}{x}}{x^2}",1,"-5/x + (E^3*Log[5])/x^3","A",1
4267,1,26,29,0.0039017,"\int \frac{1}{3} \left(14 x-6 \left(i \pi +\log \left(\frac{1}{20} \log \left(\frac{25}{16}\right)\right)\right)\right) \, dx","Integrate[(14*x - 6*(I*Pi + Log[Log[25/16]/20]))/3,x]","\frac{7 x^2}{3}-2 i \pi  x-2 x \log \left(\frac{1}{20} \log \left(\frac{25}{16}\right)\right)","\frac{x^2}{3}-2 x \left(-x+i \pi +\log \left(\frac{1}{20} \log \left(\frac{25}{16}\right)\right)\right)",1,"(-2*I)*Pi*x + (7*x^2)/3 - 2*x*Log[Log[25/16]/20]","A",1
4268,1,21,22,0.0157991,"\int \frac{5 x^2-40 x^9+e^{-23-x} (1+x)}{5 x^2} \, dx","Integrate[(5*x^2 - 40*x^9 + E^(-23 - x)*(1 + x))/(5*x^2),x]","-x^8+x-\frac{e^{-x-23}}{5 x}","-x^8+x-\frac{e^{-x-23}}{5 x}+3",1,"-1/5*E^(-23 - x)/x + x - x^8","A",1
4269,1,26,24,0.0093479,"\int \frac{-40-6 x+9 x^6+4 x^5 \log (x)+\left(6 x^4+2 x^5\right) \log ^2(x)}{2 x^5} \, dx","Integrate[(-40 - 6*x + 9*x^6 + 4*x^5*Log[x] + (6*x^4 + 2*x^5)*Log[x]^2)/(2*x^5),x]","\frac{5}{x^4}+\frac{1}{x^3}+\frac{9 x^2}{4}+\log ^3(x)+x \log ^2(x)","\frac{x+5}{x^4}+\frac{9 x^2}{4}+\log ^2(x) (x+\log (x))",1,"5/x^4 + x^(-3) + (9*x^2)/4 + x*Log[x]^2 + Log[x]^3","A",1
4270,1,85,22,0.0763395,"\int \frac{8 x+x^2+\left(16 x+2 x^2\right) \log (2)+\left(8 x+x^2\right) \log ^2(2)+\left(-8+2 x^2+\left(-8+2 x^2\right) \log (2)\right) \log (3)+(-1-2 x) \log ^2(3)}{16+8 x+9 x^2+2 x^3+x^4} \, dx","Integrate[(8*x + x^2 + (16*x + 2*x^2)*Log[2] + (8*x + x^2)*Log[2]^2 + (-8 + 2*x^2 + (-8 + 2*x^2)*Log[2])*Log[3] + (-1 - 2*x)*Log[3]^2)/(16 + 8*x + 9*x^2 + 2*x^3 + x^4),x]","-\frac{x \left(15+15 \log ^2(2)-2 \log ^2(3)+\log (3) (16+7 \log (4))+7 \log (36)+\log (9) \log (768)+\log (65536)\right)+60-16 \log ^2(3)+60 \log ^2(2)+\log (3) \log (768)+16 \log (256)-\log (4) \log (81)-4 \log (36)+8 \log (3)}{15 \left(x^2+x+4\right)}","\frac{(-x+x (-\log (2))+\log (3))^2}{x^2+x+4}",1,"-1/15*(60 + 60*Log[2]^2 + 8*Log[3] - 16*Log[3]^2 - 4*Log[36] - Log[4]*Log[81] + 16*Log[256] + Log[3]*Log[768] + x*(15 + 15*Log[2]^2 - 2*Log[3]^2 + Log[3]*(16 + 7*Log[4]) + 7*Log[36] + Log[9]*Log[768] + Log[65536]))/(4 + x + x^2)","B",0
4271,1,28,26,0.080755,"\int \frac{28-42 x+20 x^2+8 x^3-8 x^4+\left(-6 x-8 x^2+8 x^3\right) \log (x)+\left(4-6 x-6 x^2+12 x^3-4 x^4+\left(4-6 x+2 x^2\right) \log (x)\right) \log \left(2-3 x+x^2\right)}{2+5 x-3 x^2-8 x^3+4 x^4} \, dx","Integrate[(28 - 42*x + 20*x^2 + 8*x^3 - 8*x^4 + (-6*x - 8*x^2 + 8*x^3)*Log[x] + (4 - 6*x - 6*x^2 + 12*x^3 - 4*x^4 + (4 - 6*x + 2*x^2)*Log[x])*Log[2 - 3*x + x^2])/(2 + 5*x - 3*x^2 - 8*x^3 + 4*x^4),x]","\frac{-2 x (x-\log (x)) \log \left(x^2-3 x+2\right)-7}{2 x+1}","\frac{x ((\log (x)-x) \log ((x-3) x+2)+7)}{x+\frac{1}{2}}",1,"(-7 - 2*x*(x - Log[x])*Log[2 - 3*x + x^2])/(1 + 2*x)","A",1
4272,1,12,15,0.0093767,"\int \frac{24-4 x+x^2}{32-6 x^2+x^3} \, dx","Integrate[(24 - 4*x + x^2)/(32 - 6*x^2 + x^3),x]","\log (x+2)-\frac{4}{x-4}","\frac{x}{4-x}+\log (x+2)-2",1,"-4/(-4 + x) + Log[2 + x]","A",1
4273,1,29,26,0.0133446,"\int \frac{-250+\left(-4-100 x-625 x^2\right) \log (3)}{\left(4+100 x+625 x^2\right) \log (3)} \, dx","Integrate[(-250 + (-4 - 100*x - 625*x^2)*Log[3])/((4 + 100*x + 625*x^2)*Log[3]),x]","-\frac{625 x^2 \log (3)+100 x \log (3)-250+\log (81)}{(625 x+50) \log (3)}","-x+5 \left(\frac{2}{(25 x+2) \log (3)}+3\right)-e^4",1,"-((-250 + 100*x*Log[3] + 625*x^2*Log[3] + Log[81])/((50 + 625*x)*Log[3]))","A",1
4274,1,10,14,0.0281656,"\int x^{-3+x} \left(e^2 (4-2 x)-2 e^2 x \log (x)\right) \, dx","Integrate[x^(-3 + x)*(E^2*(4 - 2*x) - 2*E^2*x*Log[x]),x]","-2 e^2 x^{x-2}","2 e^2 \left(3-x^{x-2}\right)",1,"-2*E^2*x^(-2 + x)","A",1
4275,1,15,15,0.0287855,"\int e^{5-9 e^{10}+x} \left(5+7 x+x^2\right) \, dx","Integrate[E^(5 - 9*E^10 + x)*(5 + 7*x + x^2),x]","e^{x-9 e^{10}+5} x (x+5)","e^{x-9 e^{10}+5} x (x+5)",1,"E^(5 - 9*E^10 + x)*x*(5 + x)","A",1
4276,1,26,30,0.1550679,"\int \frac{e^{\frac{-5 x-x^2}{3-4 x+e^{e x+x^2} x-x^2}} \left(-15-6 x-x^2+e^{e x+x^2} \left(-x^2+10 x^3+2 x^4+e \left(5 x^2+x^3\right)\right)\right)}{9-24 x+10 x^2+e^{2 e x+2 x^2} x^2+8 x^3+x^4+e^{e x+x^2} \left(6 x-8 x^2-2 x^3\right)} \, dx","Integrate[(E^((-5*x - x^2)/(3 - 4*x + E^(E*x + x^2)*x - x^2))*(-15 - 6*x - x^2 + E^(E*x + x^2)*(-x^2 + 10*x^3 + 2*x^4 + E*(5*x^2 + x^3))))/(9 - 24*x + 10*x^2 + E^(2*E*x + 2*x^2)*x^2 + 8*x^3 + x^4 + E^(E*x + x^2)*(6*x - 8*x^2 - 2*x^3)),x]","\exp \left(\frac{x (x+5)}{x^2-\left(e^{x (x+e)}-4\right) x-3}\right)","e^{\frac{x+5}{-\frac{3-x}{x}-e^{x (x+e)}+x+3}}",1,"E^((x*(5 + x))/(-3 - (-4 + E^(x*(E + x)))*x + x^2))","A",1
4277,1,29,30,0.1306982,"\int \frac{-8-e^4+x^2-\log (x)+\left(9+e^4+8 x+x^2+\log (x)\right) \log \left(\frac{x}{9+e^4+8 x+x^2+\log (x)}\right)+\left(9+e^4+8 x+x^2+e^x \left(-9-e^4-8 x-x^2\right)+\left(1-e^x\right) \log (x)\right) \log ^2\left(\frac{x}{9+e^4+8 x+x^2+\log (x)}\right)}{\left(9+e^4+8 x+x^2+\log (x)\right) \log ^2\left(\frac{x}{9+e^4+8 x+x^2+\log (x)}\right)} \, dx","Integrate[(-8 - E^4 + x^2 - Log[x] + (9 + E^4 + 8*x + x^2 + Log[x])*Log[x/(9 + E^4 + 8*x + x^2 + Log[x])] + (9 + E^4 + 8*x + x^2 + E^x*(-9 - E^4 - 8*x - x^2) + (1 - E^x)*Log[x])*Log[x/(9 + E^4 + 8*x + x^2 + Log[x])]^2)/((9 + E^4 + 8*x + x^2 + Log[x])*Log[x/(9 + E^4 + 8*x + x^2 + Log[x])]^2),x]","\frac{x}{\log \left(\frac{x}{x^2+8 x+\log (x)+e^4+9}\right)}+x-e^x","x-e^x+\frac{x}{\log \left(\frac{x}{(x+3)^2+2 x+\log (x)+e^4}\right)}",1,"-E^x + x + x/Log[x/(9 + E^4 + 8*x + x^2 + Log[x])]","A",1
4278,1,12,12,0.1644749,"\int \frac{108+108 \log (x)+36 \log ^2(x)+4 \log ^3(x)}{84 x+e^4 x+108 x \log (x)+54 x \log ^2(x)+12 x \log ^3(x)+x \log ^4(x)} \, dx","Integrate[(108 + 108*Log[x] + 36*Log[x]^2 + 4*Log[x]^3)/(84*x + E^4*x + 108*x*Log[x] + 54*x*Log[x]^2 + 12*x*Log[x]^3 + x*Log[x]^4),x]","\log \left((\log (x)+3)^4+e^4+3\right)","\log \left((\log (x)+3)^4+e^4+3\right)",1,"Log[3 + E^4 + (3 + Log[x])^4]","A",1
4279,1,26,19,0.035882,"\int \frac{-15+10 x-5 x^2+\left(15 x+5 x^2\right) \log \left(\frac{16}{9+6 x+x^2}\right)}{3 x+x^2} \, dx","Integrate[(-15 + 10*x - 5*x^2 + (15*x + 5*x^2)*Log[16/(9 + 6*x + x^2)])/(3*x + x^2),x]","5 \left(x-\log (x)+(x+3) \log \left(\frac{16}{(x+3)^2}\right)+6 \log (x+3)\right)","5 \left(x+x \log \left(\frac{16}{(x+3)^2}\right)-\log (x)-2\right)",1,"5*(x - Log[x] + (3 + x)*Log[16/(3 + x)^2] + 6*Log[3 + x])","A",1
4280,1,37,18,0.0524957,"\int \frac{18 x-24 x^2+8 x^3+e^{\frac{x}{-3+2 x+\log (25)}} (-3+\log (25))+\left(-12 x+8 x^2\right) \log (25)+2 x \log ^2(25)}{9-12 x+4 x^2+(-6+4 x) \log (25)+\log ^2(25)} \, dx","Integrate[(18*x - 24*x^2 + 8*x^3 + E^(x/(-3 + 2*x + Log[25]))*(-3 + Log[25]) + (-12*x + 8*x^2)*Log[25] + 2*x*Log[25]^2)/(9 - 12*x + 4*x^2 + (-6 + 4*x)*Log[25] + Log[25]^2),x]","x^2+5^{\frac{1}{-2 x+3-\log (25)}} e^{\frac{3}{2 (2 x-3+\log (25))}+\frac{1}{2}}","x^2+e^{\frac{x}{2 x-3+\log (25)}}+4",1,"5^(3 - 2*x - Log[25])^(-1)*E^(1/2 + 3/(2*(-3 + 2*x + Log[25]))) + x^2","B",0
4281,0,0,30,5.0572636,"\int \frac{\exp \left(\frac{-23+12 x+\left(-18-21 x+9 x^2+3 x^3\right) \log (3)+\left(-8+4 x+\left(-6-7 x+3 x^2+x^3\right) \log (3)\right) \log (x)}{-6+3 x+(-2+x) \log (x)}\right) \left(2-4 x+\left(180 x-108 x^2-27 x^3+18 x^4\right) \log (3)+\left(-x+\left(120 x-72 x^2-18 x^3+12 x^4\right) \log (3)\right) \log (x)+\left(20 x-12 x^2-3 x^3+2 x^4\right) \log (3) \log ^2(x)\right)}{36 x-36 x^2+9 x^3+\left(24 x-24 x^2+6 x^3\right) \log (x)+\left(4 x-4 x^2+x^3\right) \log ^2(x)} \, dx","Integrate[(E^((-23 + 12*x + (-18 - 21*x + 9*x^2 + 3*x^3)*Log[3] + (-8 + 4*x + (-6 - 7*x + 3*x^2 + x^3)*Log[3])*Log[x])/(-6 + 3*x + (-2 + x)*Log[x]))*(2 - 4*x + (180*x - 108*x^2 - 27*x^3 + 18*x^4)*Log[3] + (-x + (120*x - 72*x^2 - 18*x^3 + 12*x^4)*Log[3])*Log[x] + (20*x - 12*x^2 - 3*x^3 + 2*x^4)*Log[3]*Log[x]^2))/(36*x - 36*x^2 + 9*x^3 + (24*x - 24*x^2 + 6*x^3)*Log[x] + (4*x - 4*x^2 + x^3)*Log[x]^2),x]","\int \frac{\exp \left(\frac{-23+12 x+\left(-18-21 x+9 x^2+3 x^3\right) \log (3)+\left(-8+4 x+\left(-6-7 x+3 x^2+x^3\right) \log (3)\right) \log (x)}{-6+3 x+(-2+x) \log (x)}\right) \left(2-4 x+\left(180 x-108 x^2-27 x^3+18 x^4\right) \log (3)+\left(-x+\left(120 x-72 x^2-18 x^3+12 x^4\right) \log (3)\right) \log (x)+\left(20 x-12 x^2-3 x^3+2 x^4\right) \log (3) \log ^2(x)\right)}{36 x-36 x^2+9 x^3+\left(24 x-24 x^2+6 x^3\right) \log (x)+\left(4 x-4 x^2+x^3\right) \log ^2(x)} \, dx","\exp \left(\left(x^2+5 x+3\right) \log (3)-\frac{1}{(2-x) (\log (x)+3)}+4\right)",1,"Integrate[(E^((-23 + 12*x + (-18 - 21*x + 9*x^2 + 3*x^3)*Log[3] + (-8 + 4*x + (-6 - 7*x + 3*x^2 + x^3)*Log[3])*Log[x])/(-6 + 3*x + (-2 + x)*Log[x]))*(2 - 4*x + (180*x - 108*x^2 - 27*x^3 + 18*x^4)*Log[3] + (-x + (120*x - 72*x^2 - 18*x^3 + 12*x^4)*Log[3])*Log[x] + (20*x - 12*x^2 - 3*x^3 + 2*x^4)*Log[3]*Log[x]^2))/(36*x - 36*x^2 + 9*x^3 + (24*x - 24*x^2 + 6*x^3)*Log[x] + (4*x - 4*x^2 + x^3)*Log[x]^2), x]","F",-1
4282,1,24,24,0.2772275,"\int \frac{5 e^x \left(1+x-2 x^2\right)+5 e^x \left(3 x-2 x^2\right) \log \left(\frac{5}{x}\right)}{4 x-16 x^2+16 x^3+\left(8 x-32 x^2+32 x^3\right) \log \left(\frac{5}{x}\right)+\left(4 x-16 x^2+16 x^3\right) \log ^2\left(\frac{5}{x}\right)} \, dx","Integrate[(5*E^x*(1 + x - 2*x^2) + 5*E^x*(3*x - 2*x^2)*Log[5/x])/(4*x - 16*x^2 + 16*x^3 + (8*x - 32*x^2 + 32*x^3)*Log[5/x] + (4*x - 16*x^2 + 16*x^3)*Log[5/x]^2),x]","-\frac{5 e^x}{4 (2 x-1) \left(\log \left(\frac{5}{x}\right)+1\right)}","\frac{5 e^x}{(1-2 x) \left(4 \log \left(\frac{5}{x}\right)+4\right)}",1,"(-5*E^x)/(4*(-1 + 2*x)*(1 + Log[5/x]))","A",1
4283,1,54,39,0.5005438,"\int \frac{9 x^2-18 x^3+e^{x^2} \left(-25+158 x^2-240 x^3+216 x^4+e^{2 x} \left(-9+18 x+18 x^2\right)+e^x \left(-30+30 x-12 x^2-144 x^3\right)\right)}{9 x^2} \, dx","Integrate[(9*x^2 - 18*x^3 + E^x^2*(-25 + 158*x^2 - 240*x^3 + 216*x^4 + E^(2*x)*(-9 + 18*x + 18*x^2) + E^x*(-30 + 30*x - 12*x^2 - 144*x^3)))/(9*x^2),x]","\frac{-9 (x-1) x^2+e^{x^2+x} (30-72 x)+e^{x^2} \left(108 x^2-120 x+25\right)+9 e^{x (x+2)}}{9 x}","\left(e^{x^2} \left(\left(\frac{4 x-e^x}{x}-\frac{5}{3 x}\right)^2-4\right)-x\right) x+x",1,"(9*E^(x*(2 + x)) + E^(x + x^2)*(30 - 72*x) - 9*(-1 + x)*x^2 + E^x^2*(25 - 120*x + 108*x^2))/(9*x)","A",1
4284,1,45,23,0.0596516,"\int e^{-20 x} \left(-7812500-2812500 e^{5 x}+e^{20 x} (-21+2 x)+e^{15 x} (-15300+1500 x)+e^{10 x} (-351250+12500 x)\right) \, dx","Integrate[(-7812500 - 2812500*E^(5*x) + E^(20*x)*(-21 + 2*x) + E^(15*x)*(-15300 + 1500*x) + E^(10*x)*(-351250 + 12500*x))/E^(20*x),x]","x^2-21 x+390625 e^{-20 x}+187500 e^{-15 x}+300 e^{-5 x} (10-x)+1250 e^{-10 x} (28-x)","\left(-\left(25 e^{-5 x}+3\right)^2+x-1\right)^2-x-2",1,"390625/E^(20*x) + 187500/E^(15*x) + (300*(10 - x))/E^(5*x) + (1250*(28 - x))/E^(10*x) - 21*x + x^2","A",1
4285,1,33,29,3.677445,"\int \frac{1250-2000 x-100 x^2+140 x^3-10 x^4+e^x \left(-250 x-200 x^2+100 x^3-10 x^4\right)}{125 x+300 x^2+315 x^3+184 x^4+e^{3 x} x^4+63 x^5+12 x^6+x^7+\left(-375 x-525 x^2-270 x^3-42 x^4+9 x^5+3 x^6\right) \log (5)+\left(375 x+150 x^2-30 x^3-18 x^4+3 x^5\right) \log ^2(5)+\left(-125 x+75 x^2-15 x^3+x^4\right) \log ^3(5)+e^{2 x} \left(15 x^3+12 x^4+3 x^5+\left(-15 x^3+3 x^4\right) \log (5)\right)+e^x \left(75 x^2+120 x^3+78 x^4+24 x^5+3 x^6+\left(-150 x^2-90 x^3-6 x^4+6 x^5\right) \log (5)+\left(75 x^2-30 x^3+3 x^4\right) \log ^2(5)\right)+\left(-375 x-525 x^2-270 x^3-42 x^4+9 x^5+3 x^6+e^{2 x} \left(-15 x^3+3 x^4\right)+\left(750 x+300 x^2-60 x^3-36 x^4+6 x^5\right) \log (5)+\left(-375 x+225 x^2-45 x^3+3 x^4\right) \log ^2(5)+e^x \left(-150 x^2-90 x^3-6 x^4+6 x^5+\left(150 x^2-60 x^3+6 x^4\right) \log (5)\right)\right) \log (x)+\left(375 x+150 x^2-30 x^3-18 x^4+3 x^5+e^x \left(75 x^2-30 x^3+3 x^4\right)+\left(-375 x+225 x^2-45 x^3+3 x^4\right) \log (5)\right) \log ^2(x)+\left(-125 x+75 x^2-15 x^3+x^4\right) \log ^3(x)} \, dx","Integrate[(1250 - 2000*x - 100*x^2 + 140*x^3 - 10*x^4 + E^x*(-250*x - 200*x^2 + 100*x^3 - 10*x^4))/(125*x + 300*x^2 + 315*x^3 + 184*x^4 + E^(3*x)*x^4 + 63*x^5 + 12*x^6 + x^7 + (-375*x - 525*x^2 - 270*x^3 - 42*x^4 + 9*x^5 + 3*x^6)*Log[5] + (375*x + 150*x^2 - 30*x^3 - 18*x^4 + 3*x^5)*Log[5]^2 + (-125*x + 75*x^2 - 15*x^3 + x^4)*Log[5]^3 + E^(2*x)*(15*x^3 + 12*x^4 + 3*x^5 + (-15*x^3 + 3*x^4)*Log[5]) + E^x*(75*x^2 + 120*x^3 + 78*x^4 + 24*x^5 + 3*x^6 + (-150*x^2 - 90*x^3 - 6*x^4 + 6*x^5)*Log[5] + (75*x^2 - 30*x^3 + 3*x^4)*Log[5]^2) + (-375*x - 525*x^2 - 270*x^3 - 42*x^4 + 9*x^5 + 3*x^6 + E^(2*x)*(-15*x^3 + 3*x^4) + (750*x + 300*x^2 - 60*x^3 - 36*x^4 + 6*x^5)*Log[5] + (-375*x + 225*x^2 - 45*x^3 + 3*x^4)*Log[5]^2 + E^x*(-150*x^2 - 90*x^3 - 6*x^4 + 6*x^5 + (150*x^2 - 60*x^3 + 6*x^4)*Log[5]))*Log[x] + (375*x + 150*x^2 - 30*x^3 - 18*x^4 + 3*x^5 + E^x*(75*x^2 - 30*x^3 + 3*x^4) + (-375*x + 225*x^2 - 45*x^3 + 3*x^4)*Log[5])*Log[x]^2 + (-125*x + 75*x^2 - 15*x^3 + x^4)*Log[x]^3),x]","\frac{5 (x-5)^2}{\left(x^2+x \left(e^x+4+\log (5)\right)+(x-5) \log (x)+5-5 \log (5)\right)^2}","\frac{5}{\left(\frac{x \left(x+e^x+5\right)}{5-x}-\log (x)+1-\log (5)\right)^2}",1,"(5*(-5 + x)^2)/(5 + x^2 - 5*Log[5] + x*(4 + E^x + Log[5]) + (-5 + x)*Log[x])^2","A",1
4286,1,82,32,1.1255319,"\int \frac{\exp \left(\frac{e^{-x} \left(x+x^2+3 \log \left(4 x^2\right)\right)}{\log \left(4 x^2\right) \log (\log (4))}\right) \left(-2-2 x+\left(1+x-x^2\right) \log \left(4 x^2\right)-3 \log ^2\left(4 x^2\right)\right)}{3 e^x \log ^2\left(4 x^2\right) \log (\log (4))+\exp \left(x+\frac{e^{-x} \left(x+x^2+3 \log \left(4 x^2\right)\right)}{\log \left(4 x^2\right) \log (\log (4))}\right) \log ^2\left(4 x^2\right) \log (\log (4))} \, dx","Integrate[(E^((x + x^2 + 3*Log[4*x^2])/(E^x*Log[4*x^2]*Log[Log[4]]))*(-2 - 2*x + (1 + x - x^2)*Log[4*x^2] - 3*Log[4*x^2]^2))/(3*E^x*Log[4*x^2]^2*Log[Log[4]] + E^(x + (x + x^2 + 3*Log[4*x^2])/(E^x*Log[4*x^2]*Log[Log[4]]))*Log[4*x^2]^2*Log[Log[4]]),x]","\frac{\log (\log (4)) \log \left(3 \exp \left(-\frac{e^{-x} \left(x^2+3 \log \left(4 x^2\right)+x\right)}{\log (\log (4)) \log \left(4 x^2\right)}\right)+1\right)+\frac{e^{-x} x (x+1)}{\log \left(4 x^2\right)}}{\log (\log (4))}+\frac{3 e^{-x}}{\log (\log (4))}","\log \left(e^{\frac{e^{-x} \left(\frac{x^2+x}{\log \left(4 x^2\right)}+3\right)}{\log (\log (4))}}+3\right)",1,"3/(E^x*Log[Log[4]]) + ((x*(1 + x))/(E^x*Log[4*x^2]) + Log[1 + 3/E^((x + x^2 + 3*Log[4*x^2])/(E^x*Log[4*x^2]*Log[Log[4]]))]*Log[Log[4]])/Log[Log[4]]","B",1
4287,1,18,18,0.0663916,"\int \left(\left(-88 e^5+88 e^{4 x}\right) \log (x)+\left(-44 e^5+e^{4 x} (44+176 x)\right) \log ^2(x)\right) \, dx","Integrate[(-88*E^5 + 88*E^(4*x))*Log[x] + (-44*E^5 + E^(4*x)*(44 + 176*x))*Log[x]^2,x]","44 \left(e^{4 x}-e^5\right) x \log ^2(x)","-44 \left(e^5-e^{4 x}\right) x \log ^2(x)",1,"44*(-E^5 + E^(4*x))*x*Log[x]^2","A",1
4288,1,23,20,0.0386,"\int \left(-8 x-75 x^4+18 x^5+e^x \left(e (-1-x)+2 x+x^2\right)+e \left(4+60 x^3-15 x^4\right)\right) \, dx","Integrate[-8*x - 75*x^4 + 18*x^5 + E^x*(E*(-1 - x) + 2*x + x^2) + E*(4 + 60*x^3 - 15*x^4),x]","-\left((e-x) x \left(3 x^4-15 x^3+e^x-4\right)\right)","x (x-e) \left(3 (x-5) x^3+e^x-4\right)",1,"-((E - x)*x*(-4 + E^x - 15*x^3 + 3*x^4))","A",1
4289,1,12,13,0.0000758,"\int \frac{1}{9} \left(18+44 e^{10}\right) \, dx","Integrate[(18 + 44*E^10)/9,x]","\frac{44 e^{10} x}{9}+2 x","\frac{44 e^{10} x}{9}+2 x-7",1,"2*x + (44*E^10*x)/9","A",1
4290,1,12,19,0.0021404,"\int \frac{5+5 x \log (4)}{x \log (4)} \, dx","Integrate[(5 + 5*x*Log[4])/(x*Log[4]),x]","5 x+\frac{5 \log (x)}{\log (4)}","5 x+\frac{5 \log (x)}{\log (4)}+3+\log (5)-\log (3)",1,"5*x + (5*Log[x])/Log[4]","A",1
4291,1,11,14,0.0045926,"\int \frac{1}{5} \left(1+5 e^{-1+x}\right) \, dx","Integrate[(1 + 5*E^(-1 + x))/5,x]","\frac{x}{5}+e^{x-1}","\frac{x-5}{5}+e^{x-1}-7",1,"E^(-1 + x) + x/5","A",1
4292,1,18,25,0.0049099,"\int \frac{-2-e^5-3 x+x^2}{x^2} \, dx","Integrate[(-2 - E^5 - 3*x + x^2)/x^2,x]","x-\frac{-2-e^5}{x}-3 \log (x)","-\log \left(x^3\right)+x+\frac{e^5}{x}+\frac{2}{x}-2-\log (3)",1,"-((-2 - E^5)/x) + x - 3*Log[x]","A",1
4293,1,41,22,0.0036094,"\int \frac{1}{16} \left(e^3 (-80+40 x)+e^3 (-37-80 x) \log (x)\right) \, dx","Integrate[(E^3*(-80 + 40*x) + E^3*(-37 - 80*x)*Log[x])/16,x]","\frac{5 e^3 x^2}{2}-\frac{5}{2} e^3 x^2 \log (x)-\frac{43 e^3 x}{16}-\frac{37}{16} e^3 x \log (x)","e^3 \left(-5 x-\frac{37}{8}\right) \left(\frac{1}{2} x (\log (x)-1)+1\right)",1,"(-43*E^3*x)/16 + (5*E^3*x^2)/2 - (37*E^3*x*Log[x])/16 - (5*E^3*x^2*Log[x])/2","A",1
4294,1,33,24,0.8967525,"\int \frac{e^6 (8-6 x)+e^3 \left(-8 x^2+8 x^3-2 x^4\right)+2 x^{19} \log (2 x)+\left(-16 x^4+24 x^5-12 x^6+2 x^7+e^3 \left(16 x^2-20 x^3+6 x^4\right)\right) \log (2 x)+x^{10} \left(-2 e^3 x^2+\left(14 e^3 x^2-12 x^4+6 x^5\right) \log (2 x)\right)+x^5 \left(-14 e^6+e^3 \left(8 x^2-4 x^3\right)+\left(24 x^4-24 x^5+6 x^6+e^3 \left(-36 x^2+20 x^3\right)\right) \log (2 x)\right)}{-8 x^5+12 x^6-6 x^7+x^8+x^{20}+x^{10} \left(-6 x^5+3 x^6\right)+x^5 \left(12 x^5-12 x^6+3 x^7\right)} \, dx","Integrate[(E^6*(8 - 6*x) + E^3*(-8*x^2 + 8*x^3 - 2*x^4) + 2*x^19*Log[2*x] + (-16*x^4 + 24*x^5 - 12*x^6 + 2*x^7 + E^3*(16*x^2 - 20*x^3 + 6*x^4))*Log[2*x] + x^10*(-2*E^3*x^2 + (14*E^3*x^2 - 12*x^4 + 6*x^5)*Log[2*x]) + x^5*(-14*E^6 + E^3*(8*x^2 - 4*x^3) + (24*x^4 - 24*x^5 + 6*x^6 + E^3*(-36*x^2 + 20*x^3))*Log[2*x]))/(-8*x^5 + 12*x^6 - 6*x^7 + x^8 + x^20 + x^10*(-6*x^5 + 3*x^6) + x^5*(12*x^5 - 12*x^6 + 3*x^7)),x]","\frac{\left(e^3-x^2 \left(x^5+x-2\right) \log (2 x)\right)^2}{x^4 \left(x^5+x-2\right)^2}","\left(\frac{e^3}{x^2 \left(x^5+x-2\right)}-\log (2 x)\right)^2",1,"(E^3 - x^2*(-2 + x + x^5)*Log[2*x])^2/(x^4*(-2 + x + x^5)^2)","A",1
4295,1,36,27,0.0559902,"\int \frac{-28+16 x+60000 x^4-10000 x^5+\left(24-12 x-30000 x^4+5000 x^5\right) \log (x)+\left(-4+2 x+3750 x^4-625 x^5\right) \log ^2(x)}{-16 x+10000 x^5+\left(12 x-5000 x^5\right) \log (x)+\left(-2 x+625 x^5\right) \log ^2(x)} \, dx","Integrate[(-28 + 16*x + 60000*x^4 - 10000*x^5 + (24 - 12*x - 30000*x^4 + 5000*x^5)*Log[x] + (-4 + 2*x + 3750*x^4 - 625*x^5)*Log[x]^2)/(-16*x + 10000*x^5 + (12*x - 5000*x^5)*Log[x] + (-2*x + 625*x^5)*Log[x]^2),x]","\log \left(-2500 x^4+625 x^4 \log (x)-2 \log (x)+4\right)-x+2 \log (x)-\log (4-\log (x))","\log \left(x \left(x-x \left(625 x^4-\frac{4}{\log (x)-4}-1\right)\right)\right)-x",1,"-x + 2*Log[x] - Log[4 - Log[x]] + Log[4 - 2500*x^4 - 2*Log[x] + 625*x^4*Log[x]]","A",1
4296,1,19,22,0.1409732,"\int \frac{4 x+4 x^3-4 \log (3)+\left(4 x+12 x^3\right) \log (x)}{\left(x^3+2 x^5+x^7+\left(-2 x^2-2 x^4\right) \log (3)+x \log ^2(3)\right) \log ^2(x)} \, dx","Integrate[(4*x + 4*x^3 - 4*Log[3] + (4*x + 12*x^3)*Log[x])/((x^3 + 2*x^5 + x^7 + (-2*x^2 - 2*x^4)*Log[3] + x*Log[3]^2)*Log[x]^2),x]","\frac{4}{\left(-x^3-x+\log (3)\right) \log (x)}","2-\frac{4}{\left(x \left(x^2+1\right)-\log (3)\right) \log (x)}",1,"4/((-x - x^3 + Log[3])*Log[x])","A",1
4297,1,19,21,0.0925671,"\int \frac{x^3+e^{2 \left(4 \log (3)+5 e^x x \log (3)\right)} \left(16-2 x+e^x \left(-80 x-70 x^2+10 x^3\right) \log (3)\right)}{-8 x^3+x^4} \, dx","Integrate[(x^3 + E^(2*(4*Log[3] + 5*E^x*x*Log[3]))*(16 - 2*x + E^x*(-80*x - 70*x^2 + 10*x^3)*Log[3]))/(-8*x^3 + x^4),x]","\frac{9^{5 e^x x+4}}{x^2}+\log (x-8)","\frac{3^{10 e^x x+8}}{x^2}+\log (8-x)",1,"9^(4 + 5*E^x*x)/x^2 + Log[-8 + x]","A",1
4298,1,16,17,0.6895104,"\int \exp \left(1+e^{25+50 x+15 x^2-10 x^3+x^4}+50 x+15 x^2-10 x^3+x^4\right) \left(50+30 x-30 x^2+4 x^3\right) \, dx","Integrate[E^(1 + E^(25 + 50*x + 15*x^2 - 10*x^3 + x^4) + 50*x + 15*x^2 - 10*x^3 + x^4)*(50 + 30*x - 30*x^2 + 4*x^3),x]","e^{e^{\left(x^2-5 x-5\right)^2}-24}","e^{e^{((5-x) x+5)^2}-24}",1,"E^(-24 + E^(-5 - 5*x + x^2)^2)","A",1
4299,1,30,26,0.0662207,"\int \frac{-x+x^3+e^{12} \left(-x+x^3\right)+e^6 \left(-2 x+2 x^3\right)+\left(-1+2 x^2+e^{12} \left(-1+2 x^2\right)+e^6 \left(-2+4 x^2\right)\right) \log (3)+\left(x+2 e^6 x+e^{12} x\right) \log (x)}{x^3+2 x^2 \log (3)+x \log ^2(3)} \, dx","Integrate[(-x + x^3 + E^12*(-x + x^3) + E^6*(-2*x + 2*x^3) + (-1 + 2*x^2 + E^12*(-1 + 2*x^2) + E^6*(-2 + 4*x^2))*Log[3] + (x + 2*E^6*x + E^12*x)*Log[x])/(x^3 + 2*x^2*Log[3] + x*Log[3]^2),x]","\frac{\left(1+e^6\right)^2 \left(x^2+x \log (3)-\log (x)+\log ^2(3)\right)}{x+\log (3)}","\left(1+e^6\right)^2 \left(1-\frac{\log (x)-x^2}{x+\log (3)}\right)",1,"((1 + E^6)^2*(x^2 + x*Log[3] + Log[3]^2 - Log[x]))/(x + Log[3])","A",1
4300,1,12,21,0.0378288,"\int \frac{-16+x+(-16+2 x) \log (x)}{\left(-16 x+x^2\right) \log (x)} \, dx","Integrate[(-16 + x + (-16 + 2*x)*Log[x])/((-16*x + x^2)*Log[x]),x]","\log (16-x)+\log (x)+\log (\log (x))","\log \left(\frac{\left(\frac{x^2}{16}-x\right) \log (x)}{24 e^4}\right)",1,"Log[16 - x] + Log[x] + Log[Log[x]]","A",1
4301,1,30,24,0.5352406,"\int e^{-2 x} \left(2 e^x+e^{9 e^{-2 x} x^2 \log ^2(x)} \left(18 x \log (x)+\left(18 x-18 x^2\right) \log ^2(x)\right)\right) \, dx","Integrate[(2*E^x + E^((9*x^2*Log[x]^2)/E^(2*x))*(18*x*Log[x] + (18*x - 18*x^2)*Log[x]^2))/E^(2*x),x]","2 \left(\frac{1}{2} e^{9 e^{-2 x} x^2 \log ^2(x)}-e^{-x}\right)","e^{9 e^{-2 x} x^2 \log ^2(x)}-2 e^{-x}",1,"2*(-E^(-x) + E^((9*x^2*Log[x]^2)/E^(2*x))/2)","A",1
4302,1,18,18,0.0107815,"\int \frac{x \log \left(x^2\right)+\frac{9 x^2 \left(-2+2 \log \left(x^2\right)\right)}{5 e^5 \log \left(x^2\right)}}{x \log \left(x^2\right)} \, dx","Integrate[(x*Log[x^2] + (9*x^2*(-2 + 2*Log[x^2]))/(5*E^5*Log[x^2]))/(x*Log[x^2]),x]","\frac{9 x^2}{5 e^5 \log \left(x^2\right)}+x","\frac{9 x^2}{5 e^5 \log \left(x^2\right)}+x",1,"x + (9*x^2)/(5*E^5*Log[x^2])","A",1
4303,0,0,24,2.5802017,"\int \frac{e^{\frac{x^4+x^2 \log (5)}{2+x^3+x \log (5)}} \left(8 x^3+x^6+\left(4 x+2 x^4\right) \log (5)+x^2 \log ^2(5)\right)}{20+20 x^3+5 x^6+\left(20 x+10 x^4\right) \log (5)+5 x^2 \log ^2(5)} \, dx","Integrate[(E^((x^4 + x^2*Log[5])/(2 + x^3 + x*Log[5]))*(8*x^3 + x^6 + (4*x + 2*x^4)*Log[5] + x^2*Log[5]^2))/(20 + 20*x^3 + 5*x^6 + (20*x + 10*x^4)*Log[5] + 5*x^2*Log[5]^2),x]","\int \frac{e^{\frac{x^4+x^2 \log (5)}{2+x^3+x \log (5)}} \left(8 x^3+x^6+\left(4 x+2 x^4\right) \log (5)+x^2 \log ^2(5)\right)}{20+20 x^3+5 x^6+\left(20 x+10 x^4\right) \log (5)+5 x^2 \log ^2(5)} \, dx","\frac{1}{5} e^{\frac{x^2}{\frac{2}{x^2+\log (5)}+x}}",1,"Integrate[(E^((x^4 + x^2*Log[5])/(2 + x^3 + x*Log[5]))*(8*x^3 + x^6 + (4*x + 2*x^4)*Log[5] + x^2*Log[5]^2))/(20 + 20*x^3 + 5*x^6 + (20*x + 10*x^4)*Log[5] + 5*x^2*Log[5]^2), x]","F",-1
4304,1,68,21,0.0351103,"\int \frac{-32000 x+9600 x^2-960 x^3-3968 x^4+720 x^5-32 x^6-80 x^7+6 x^8+e^5 \left(-8000+2400 x-240 x^2-792 x^3+140 x^4-6 x^5\right)}{-1000+300 x-30 x^2+x^3} \, dx","Integrate[(-32000*x + 9600*x^2 - 960*x^3 - 3968*x^4 + 720*x^5 - 32*x^6 - 80*x^7 + 6*x^8 + E^5*(-8000 + 2400*x - 240*x^2 - 792*x^3 + 140*x^4 - 6*x^5))/(-1000 + 300*x - 30*x^2 + x^3),x]","\frac{x^8-8 x^6+80 x^5+16 x^4-320 x^3-27600000 x^2+e^5 \left(-2 x^5+20 x^4+8 x^3+7760 x^2-157600 x+792000\right)+552032000 x-2760160000}{(x-10)^2}","\left(-\frac{x^4}{x-10}+4 x+e^5\right)^2-1",1,"(-2760160000 + 552032000*x - 27600000*x^2 - 320*x^3 + 16*x^4 + 80*x^5 - 8*x^6 + x^8 + E^5*(792000 - 157600*x + 7760*x^2 + 8*x^3 + 20*x^4 - 2*x^5))/(-10 + x)^2","B",1
4305,1,18,20,0.031424,"\int \frac{150 x^2+e^{\frac{e^x}{x^2}} \left(50 x^2+e^x (-50+25 x)\right)}{2 x} \, dx","Integrate[(150*x^2 + E^(E^x/x^2)*(50*x^2 + E^x*(-50 + 25*x)))/(2*x),x]","\frac{25}{2} \left(e^{\frac{e^x}{x^2}}+3\right) x^2","\frac{25}{2} \left(e^{\frac{e^x}{x^2}}+3\right) x^2+1",1,"(25*(3 + E^(E^x/x^2))*x^2)/2","A",1
4306,1,25,21,0.0014558,"\int \left(1+e^3 (1-4 x)-2 x+6 x^2\right) \, dx","Integrate[1 + E^3*(1 - 4*x) - 2*x + 6*x^2,x]","2 x^3-2 e^3 x^2-x^2+e^3 x+x","x+\left(e^3-x\right) ((2-2 x) x-x)",1,"x + E^3*x - x^2 - 2*E^3*x^2 + 2*x^3","A",1
4307,1,17,27,0.0477322,"\int \frac{1-15 x+2 x^2+e^{-x+x^2} \left(x-x^2+2 x^3\right)+2 x \log (4)}{x} \, dx","Integrate[(1 - 15*x + 2*x^2 + E^(-x + x^2)*(x - x^2 + 2*x^3) + 2*x*Log[4])/x,x]","x \left(x+e^{(x-1) x}-15+\log (16)\right)+\log (x)","\left(e^{x^2-x}+5\right) x+(-x+10-\log (4))^2+\log (x)",1,"x*(-15 + E^((-1 + x)*x) + x + Log[16]) + Log[x]","A",1
4308,1,40,29,0.2885578,"\int \frac{e^{e^x} \left(-10+5 x-2 x^2-x^3+e^x \left(-10 x+9 x^2-4 x^3+x^4\right)+\left(-10+5 x+2 x^2-x^3+e^x \left(-10 x+9 x^2-4 x^3+x^4\right)\right) \log \left(4-4 x+x^2\right)+\left(-4 x+e^x \left(-4 x^2+2 x^3\right)+e^x \left(-4 x^2+2 x^3\right) \log \left(4-4 x+x^2\right)\right) \log \left(1+\log \left(4-4 x+x^2\right)\right)+\left(-2+x+e^x \left(-2 x+x^2\right)+\left(-2+x+e^x \left(-2 x+x^2\right)\right) \log \left(4-4 x+x^2\right)\right) \log ^2\left(1+\log \left(4-4 x+x^2\right)\right)\right)}{\left(5-2 x+x^2+2 x \log \left(1+\log \left(4-4 x+x^2\right)\right)+\log ^2\left(1+\log \left(4-4 x+x^2\right)\right)\right) \left(-10+9 x-4 x^2+x^3+\left(-10+9 x-4 x^2+x^3\right) \log \left(4-4 x+x^2\right)+\left(-4 x+2 x^2+\left(-4 x+2 x^2\right) \log \left(4-4 x+x^2\right)\right) \log \left(1+\log \left(4-4 x+x^2\right)\right)+\left(-2+x+(-2+x) \log \left(4-4 x+x^2\right)\right) \log ^2\left(1+\log \left(4-4 x+x^2\right)\right)\right)} \, dx","Integrate[(E^E^x*(-10 + 5*x - 2*x^2 - x^3 + E^x*(-10*x + 9*x^2 - 4*x^3 + x^4) + (-10 + 5*x + 2*x^2 - x^3 + E^x*(-10*x + 9*x^2 - 4*x^3 + x^4))*Log[4 - 4*x + x^2] + (-4*x + E^x*(-4*x^2 + 2*x^3) + E^x*(-4*x^2 + 2*x^3)*Log[4 - 4*x + x^2])*Log[1 + Log[4 - 4*x + x^2]] + (-2 + x + E^x*(-2*x + x^2) + (-2 + x + E^x*(-2*x + x^2))*Log[4 - 4*x + x^2])*Log[1 + Log[4 - 4*x + x^2]]^2))/((5 - 2*x + x^2 + 2*x*Log[1 + Log[4 - 4*x + x^2]] + Log[1 + Log[4 - 4*x + x^2]]^2)*(-10 + 9*x - 4*x^2 + x^3 + (-10 + 9*x - 4*x^2 + x^3)*Log[4 - 4*x + x^2] + (-4*x + 2*x^2 + (-4*x + 2*x^2)*Log[4 - 4*x + x^2])*Log[1 + Log[4 - 4*x + x^2]] + (-2 + x + (-2 + x)*Log[4 - 4*x + x^2])*Log[1 + Log[4 - 4*x + x^2]]^2)),x]","\frac{e^{e^x} x}{x^2-2 x+\log ^2\left(\log \left((x-2)^2\right)+1\right)+2 x \log \left(\log \left((x-2)^2\right)+1\right)+5}","\frac{e^{e^x} x}{-2 x+\left(x+\log \left(\log \left((2-x)^2\right)+1\right)\right)^2+5}",1,"(E^E^x*x)/(5 - 2*x + x^2 + 2*x*Log[1 + Log[(-2 + x)^2]] + Log[1 + Log[(-2 + x)^2]]^2)","A",1
4309,1,22,22,0.4099817,"\int \frac{-36-6 x-3 x^2+e^x \left(-9+3 x-3 x^2\right)+\left(12+e^x (3-3 x)\right) \log \left(x^2\right)}{64-96 x+4 x^2+24 x^3+4 x^4+e^{2 x} \left(4-8 x+4 x^2\right)+e^x \left(32-56 x+16 x^2+8 x^3\right)+\left(-128+64 x+56 x^2+8 x^3+e^{2 x} (-8+8 x)+e^x \left(-64+48 x+16 x^2\right)\right) \log \left(x^2\right)+\left(64+4 e^{2 x}+32 x+4 x^2+e^x (32+8 x)\right) \log ^2\left(x^2\right)} \, dx","Integrate[(-36 - 6*x - 3*x^2 + E^x*(-9 + 3*x - 3*x^2) + (12 + E^x*(3 - 3*x))*Log[x^2])/(64 - 96*x + 4*x^2 + 24*x^3 + 4*x^4 + E^(2*x)*(4 - 8*x + 4*x^2) + E^x*(32 - 56*x + 16*x^2 + 8*x^3) + (-128 + 64*x + 56*x^2 + 8*x^3 + E^(2*x)*(-8 + 8*x) + E^x*(-64 + 48*x + 16*x^2))*Log[x^2] + (64 + 4*E^(2*x) + 32*x + 4*x^2 + E^x*(32 + 8*x))*Log[x^2]^2),x]","\frac{3 x}{4 \left(x+e^x+4\right) \left(\log \left(x^2\right)+x-1\right)}","\frac{3 x}{4 \left(x+e^x+4\right) \left(\log \left(x^2\right)+x-1\right)}",1,"(3*x)/(4*(4 + E^x + x)*(-1 + x + Log[x^2]))","A",1
4310,1,24,23,0.1436036,"\int \frac{-4+38 x+(2-18 x) \log \left(\frac{25}{x^2 \log ^2(2)}\right)+2 x \log ^2\left(\frac{25}{x^2 \log ^2(2)}\right)}{16-8 \log \left(\frac{25}{x^2 \log ^2(2)}\right)+\log ^2\left(\frac{25}{x^2 \log ^2(2)}\right)} \, dx","Integrate[(-4 + 38*x + (2 - 18*x)*Log[25/(x^2*Log[2]^2)] + 2*x*Log[25/(x^2*Log[2]^2)]^2)/(16 - 8*Log[25/(x^2*Log[2]^2)] + Log[25/(x^2*Log[2]^2)]^2),x]","x \left(\frac{2-x}{\log \left(\frac{25}{x^2 \log ^2(2)}\right)-4}+x\right)","x \left(x-\frac{x-2}{\log \left(\frac{25}{x^2 \log ^2(2)}\right)-4}\right)",1,"x*(x + (2 - x)/(-4 + Log[25/(x^2*Log[2]^2)]))","A",1
4311,1,29,28,0.1387389,"\int \frac{e^{-2 x-4 x^2-4 x^4-x^6-\log ^2(x)} \left(-1-2 x-8 x^2-16 x^4-6 x^6-2 \log (x)\right)}{x^2} \, dx","Integrate[(E^(-2*x - 4*x^2 - 4*x^4 - x^6 - Log[x]^2)*(-1 - 2*x - 8*x^2 - 16*x^4 - 6*x^6 - 2*Log[x]))/x^2,x]","\frac{e^{-x \left(x^5+4 x^3+4 x+2\right)-\log ^2(x)}}{x}","\frac{e^{-x \left(x \left(x^2+2\right)^2+3\right)+x-\log ^2(x)}}{x}",1,"E^(-(x*(2 + 4*x + 4*x^3 + x^5)) - Log[x]^2)/x","A",1
4312,1,17,19,0.07207,"\int \frac{e^{\frac{2 \left(3+x+x^2+x^3\right)}{x}} \left(-6+2 x^2+4 x^3\right)}{x^2} \, dx","Integrate[(E^((2*(3 + x + x^2 + x^3))/x)*(-6 + 2*x^2 + 4*x^3))/x^2,x]","e^{2 x^2+2 x+\frac{6}{x}+2}","e^{2 x^2+2 x+\frac{2 (x+3)}{x}}",1,"E^(2 + 6/x + 2*x + 2*x^2)","A",1
4313,1,32,30,0.3865096,"\int \frac{-5+e^{8 e^{2-2 x}+24 e^{1-x} x+18 x^2} \left(-80 e^{2-2 x}+e^{1-x} (120-120 x)+180 x\right)}{32+2 e^{16 e^{2-2 x}+48 e^{1-x} x+36 x^2}+e^{8 e^{2-2 x}+24 e^{1-x} x+18 x^2} (-16-4 x)+16 x+2 x^2} \, dx","Integrate[(-5 + E^(8*E^(2 - 2*x) + 24*E^(1 - x)*x + 18*x^2)*(-80*E^(2 - 2*x) + E^(1 - x)*(120 - 120*x) + 180*x))/(32 + 2*E^(16*E^(2 - 2*x) + 48*E^(1 - x)*x + 36*x^2) + E^(8*E^(2 - 2*x) + 24*E^(1 - x)*x + 18*x^2)*(-16 - 4*x) + 16*x + 2*x^2),x]","-\frac{5}{2 \left(-x+e^{2 e^{-2 x} \left(3 e^x x+2 e\right)^2}-4\right)}","\frac{5}{2 \left(x-e^{2 \left(x+2 \left(x+e^{1-x}\right)\right)^2}+4\right)}",1,"-5/(2*(-4 + E^((2*(2*E + 3*E^x*x)^2)/E^(2*x)) - x))","A",1
4314,1,19,20,0.1961043,"\int \frac{e^4 (-8+2 x)+\left(16 x-8 x^2+x^3+e^4 \left(-16 x+8 x^2-x^3\right)\right) \log \left(x^2\right)-e^4 x \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)}{e^4 \left(16 x-8 x^2+x^3\right) \log \left(x^2\right)} \, dx","Integrate[(E^4*(-8 + 2*x) + (16*x - 8*x^2 + x^3 + E^4*(-16*x + 8*x^2 - x^3))*Log[x^2] - E^4*x*Log[x^2]*Log[Log[x^2]])/(E^4*(16*x - 8*x^2 + x^3)*Log[x^2]),x]","\frac{\log \left(\log \left(x^2\right)\right)}{x-4}+\left(\frac{1}{e^4}-1\right) x","\frac{\log \left(\log \left(x^2\right)\right)}{x-4}+\frac{x}{e^4}-x",1,"(-1 + E^(-4))*x + Log[Log[x^2]]/(-4 + x)","A",1
4315,1,81,28,0.1318304,"\int \frac{8 e^{3+e^{e^3}}-27 x+\left(e^{3+e^{e^3}}-3 x\right) \log \left(\frac{-e^{3+e^{e^3}}+3 x}{2 x}\right)}{e^{3+e^{e^3}}-3 x} \, dx","Integrate[(8*E^(3 + E^E^3) - 27*x + (E^(3 + E^E^3) - 3*x)*Log[(-E^(3 + E^E^3) + 3*x)/(2*x)])/(E^(3 + E^E^3) - 3*x),x]","\frac{1}{3} \left(27 x-\left(e^{3+e^{e^3}}-3 x\right) \log \left(\frac{3}{2}-\frac{e^{3+e^{e^3}}}{2 x}\right)+e^{3+e^{e^3}} \log \left(e^{3+e^{e^3}}-3 x\right)-e^{3+e^{e^3}} \log (x)\right)","x \left(\frac{1}{x}+\log \left(\frac{1}{2} \left(3-\frac{e^{3+e^{e^3}}}{x}\right)\right)+9\right)",1,"(27*x - (E^(3 + E^E^3) - 3*x)*Log[3/2 - E^(3 + E^E^3)/(2*x)] + E^(3 + E^E^3)*Log[E^(3 + E^E^3) - 3*x] - E^(3 + E^E^3)*Log[x])/3","B",1
4316,1,25,29,0.1811389,"\int \frac{-24 x+4 e^{2 x} x+12 x^2+e^x \left(-12-8 x+8 x^2\right)}{3 x^2+e^{2 x} (1+x)+e^x \left(3+3 x+x^2\right)} \, dx","Integrate[(-24*x + 4*E^(2*x)*x + 12*x^2 + E^x*(-12 - 8*x + 8*x^2))/(3*x^2 + E^(2*x)*(1 + x) + E^x*(3 + 3*x + x^2)),x]","4 \left(-\log \left(x^2+e^x x+e^x\right)+x+\log \left(e^x+3\right)\right)","4 \log \left(\frac{9 \left(e^x+3\right)}{4 x \left(e^{-x} x+\frac{1}{x}+1\right)}\right)",1,"4*(x + Log[3 + E^x] - Log[E^x + E^x*x + x^2])","A",1
4317,1,76,29,0.0984035,"\int \frac{1}{8} \left(-16 e^4+\left(16 e^4-e^8 x\right) \log (3)+e^8 x \log ^2(3)+\left(16 e^4-e^8 x+2 e^8 x \log (3)\right) \log \left(\frac{3}{x}\right)+e^8 x \log ^2\left(\frac{3}{x}\right)\right) \, dx","Integrate[(-16*E^4 + (16*E^4 - E^8*x)*Log[3] + E^8*x*Log[3]^2 + (16*E^4 - E^8*x + 2*E^8*x*Log[3])*Log[3/x] + E^8*x*Log[3/x]^2)/8,x]","\frac{1}{32} e^4 x \left(e^4 x \log ^2(9)+e^4 x \log \left(\frac{1}{x}\right) \left(2 \log \left(\frac{3}{x}\right)-1+\log (9)\right)-e^4 x \log (9)+e^4 x \log (3)+\left(e^4 x (1+\log (81))+64\right) \log \left(\frac{3}{x}\right)+64 \log (3)\right)","\frac{\left(x+x \left(\frac{1}{4} e^4 x \left(\log \left(\frac{3}{x}\right)+\log (3)\right)+3\right)\right)^2}{x^2}",1,"(E^4*x*(64*Log[3] + E^4*x*Log[3] - E^4*x*Log[9] + E^4*x*Log[9]^2 + (64 + E^4*x*(1 + Log[81]))*Log[3/x] + E^4*x*Log[x^(-1)]*(-1 + Log[9] + 2*Log[3/x])))/32","B",0
4318,1,70,26,0.2567383,"\int \frac{2 x-8 x^2+2 (2-6 x) \log (\log (3))+\log \left(e^{-x} x\right) (4 x+4 \log (\log (3)))}{5-x^3-2 x^2 \log (\log (3))+\log \left(e^{-x} x\right) \left(x^2+2 x \log (\log (3))\right)} \, dx","Integrate[(2*x - 8*x^2 + 2*(2 - 6*x)*Log[Log[3]] + Log[x/E^x]*(4*x + 4*Log[Log[3]]))/(5 - x^3 - 2*x^2*Log[Log[3]] + Log[x/E^x]*(x^2 + 2*x*Log[Log[3]])),x]","2 \log \left(-2 x^3+x^2 \log (x)+x^2 \left(x-\log (x)+\log \left(e^{-x} x\right)\right)-4 x^2 \log (\log (3))+2 x \log (\log (3)) \log (x)+2 x \log (\log (3)) \left(x-\log (x)+\log \left(e^{-x} x\right)\right)+5\right)","\log \left(\left(x \left(\log \left(e^{-x} x\right)-x\right) (x+2 \log (\log (3)))+5\right)^2\right)",1,"2*Log[5 - 2*x^3 + x^2*Log[x] + x^2*(x - Log[x] + Log[x/E^x]) - 4*x^2*Log[Log[3]] + 2*x*Log[x]*Log[Log[3]] + 2*x*(x - Log[x] + Log[x/E^x])*Log[Log[3]]]","B",1
4319,1,21,19,0.014279,"\int \frac{1+32 e^{2 x} x+288 x^2+e^x \left(-96 x-96 x^2\right)}{x} \, dx","Integrate[(1 + 32*E^(2*x)*x + 288*x^2 + E^x*(-96*x - 96*x^2))/x,x]","144 x^2-96 e^x x+16 e^{2 x}+\log (x)","\log \left(\frac{1}{2} e^{16 \left(e^x-3 x\right)^2} x\right)",1,"16*E^(2*x) - 96*E^x*x + 144*x^2 + Log[x]","A",1
4320,1,25,23,0.1761946,"\int \frac{-36 x-36 x^2+\left(-36 x-12 x^2\right) \log \left(\frac{1}{e^2 \left(81 x^2+108 x^3+54 x^4+12 x^5+x^6\right)}\right)+(30+10 x) \log ^2\left(\frac{1}{e^2 \left(81 x^2+108 x^3+54 x^4+12 x^5+x^6\right)}\right)}{(3+x) \log ^2\left(\frac{1}{e^2 \left(81 x^2+108 x^3+54 x^4+12 x^5+x^6\right)}\right)} \, dx","Integrate[(-36*x - 36*x^2 + (-36*x - 12*x^2)*Log[1/(E^2*(81*x^2 + 108*x^3 + 54*x^4 + 12*x^5 + x^6))] + (30 + 10*x)*Log[1/(E^2*(81*x^2 + 108*x^3 + 54*x^4 + 12*x^5 + x^6))]^2)/((3 + x)*Log[1/(E^2*(81*x^2 + 108*x^3 + 54*x^4 + 12*x^5 + x^6))]^2),x]","-2 \left(\frac{3 x^2}{\log \left(\frac{1}{x^2 (x+3)^4}\right)-2}-5 x\right)","2 x \left(5-\frac{3 x}{\log \left(\frac{1}{e^2 x^2 (x+3)^4}\right)}\right)",1,"-2*(-5*x + (3*x^2)/(-2 + Log[1/(x^2*(3 + x)^4)]))","A",1
4321,1,25,25,0.0731778,"\int \frac{-36+e^{-6+2 x} (-9+18 x)}{\left(16 x+4 e^{-6+2 x} x\right) \log \left(\frac{x}{4+e^{-6+2 x}}\right)+\left(-16 x-4 e^{-6+2 x} x\right) \log \left(\frac{x}{4+e^{-6+2 x}}\right) \log \left(\frac{1}{5} \log \left(\frac{x}{4+e^{-6+2 x}}\right)\right)+\left(4 x+e^{-6+2 x} x\right) \log \left(\frac{x}{4+e^{-6+2 x}}\right) \log ^2\left(\frac{1}{5} \log \left(\frac{x}{4+e^{-6+2 x}}\right)\right)} \, dx","Integrate[(-36 + E^(-6 + 2*x)*(-9 + 18*x))/((16*x + 4*E^(-6 + 2*x)*x)*Log[x/(4 + E^(-6 + 2*x))] + (-16*x - 4*E^(-6 + 2*x)*x)*Log[x/(4 + E^(-6 + 2*x))]*Log[Log[x/(4 + E^(-6 + 2*x))]/5] + (4*x + E^(-6 + 2*x)*x)*Log[x/(4 + E^(-6 + 2*x))]*Log[Log[x/(4 + E^(-6 + 2*x))]/5]^2),x]","\frac{9}{\log \left(\frac{1}{5} \log \left(\frac{x}{e^{2 x-6}+4}\right)\right)-2}","\frac{9}{\log \left(\frac{1}{5} \log \left(\frac{x}{e^{2 x-6}+4}\right)\right)-2}",1,"9/(-2 + Log[Log[x/(4 + E^(-6 + 2*x))]/5])","A",1
4322,1,34,33,0.8815715,"\int \frac{e^{2-x} \left(e^{-5+x} x-3 \log (3)\right)^4 \left(8 e^{-5+x} x-24 \log (3)+\left(e^{-5+x} \left(4 x+3 x^2\right)+3 x \log (3)\right) \log \left(\frac{2}{x^2}\right)\right)}{81 \left(e^{-5+x} x^2-3 x \log (3)\right) \log ^5\left(\frac{2}{x^2}\right)} \, dx","Integrate[(E^(2 - x)*(E^(-5 + x)*x - 3*Log[3])^4*(8*E^(-5 + x)*x - 24*Log[3] + (E^(-5 + x)*(4*x + 3*x^2) + 3*x*Log[3])*Log[2/x^2]))/(81*(E^(-5 + x)*x^2 - 3*x*Log[3])*Log[2/x^2]^5),x]","\frac{e^{-x-18} \left(e^x x-3 e^5 \log (3)\right)^4}{81 \log ^4\left(\frac{2}{x^2}\right)}","\frac{e^{2-x} \left(\frac{1}{3} e^{x-5} x-\log (3)\right)^4}{\log ^4\left(\frac{2}{x^2}\right)}",1,"(E^(-18 - x)*(E^x*x - 3*E^5*Log[3])^4)/(81*Log[2/x^2]^4)","A",1
4323,1,16,16,0.0203513,"\int e^{-7+e^{e+2 x}-x} \left(e (1-x)+2 e^{1+e+2 x} x\right) \, dx","Integrate[E^(-7 + E^(E + 2*x) - x)*(E*(1 - x) + 2*E^(1 + E + 2*x)*x),x]","e^{-x+e^{2 x+e}-6} x","e^{-x+e^{2 x+e}-6} x",1,"E^(-6 + E^(E + 2*x) - x)*x","A",1
4324,1,7,21,0.0000759,"\int (-6+2 x) \, dx","Integrate[-6 + 2*x,x]","x^2-6 x","(x-1)^2-4 x+e^{2+e^{1+\frac{1}{e}}}+2",1,"-6*x + x^2","A",1
4325,1,64,36,0.11656,"\int \frac{64 x^2+27 e^{\frac{3 (-1+2 x)}{x}} x^4-81 e^{\frac{2 (-1+2 x)}{x}} x^5-27 x^7+128 x^2 \log (2)+64 x^2 \log ^2(2)+e^{\frac{-1+2 x}{x}} \left(-32-32 x+81 x^6+(-64-64 x) \log (2)+(-32-32 x) \log ^2(2)\right)}{9 e^{\frac{3 (-1+2 x)}{x}} x^4-27 e^{\frac{2 (-1+2 x)}{x}} x^5+27 e^{\frac{-1+2 x}{x}} x^6-9 x^7} \, dx","Integrate[(64*x^2 + 27*E^((3*(-1 + 2*x))/x)*x^4 - 81*E^((2*(-1 + 2*x))/x)*x^5 - 27*x^7 + 128*x^2*Log[2] + 64*x^2*Log[2]^2 + E^((-1 + 2*x)/x)*(-32 - 32*x + 81*x^6 + (-64 - 64*x)*Log[2] + (-32 - 32*x)*Log[2]^2))/(9*E^((3*(-1 + 2*x))/x)*x^4 - 27*E^((2*(-1 + 2*x))/x)*x^5 + 27*E^((-1 + 2*x)/x)*x^6 - 9*x^7),x]","\frac{e^{2/x} \left(27 x^5+16 (1+\log (2))^2\right)-54 e^{\frac{1}{x}+2} x^4+27 e^4 x^3}{9 x^2 \left(e^2-e^{\frac{1}{x}} x\right)^2}","\frac{(4+4 \log (2))^2}{9 \left(e^{\frac{2 x-1}{x}}-x\right)^2 x^2}+3 x",1,"(27*E^4*x^3 - 54*E^(2 + x^(-1))*x^4 + E^(2/x)*(27*x^5 + 16*(1 + Log[2])^2))/(9*x^2*(E^2 - E^x^(-1)*x)^2)","A",1
4326,1,69,25,0.1831083,"\int \frac{\exp \left(\frac{25 x^4+\left(x+400 x^3+25 x^4\right) \log (x)}{25 x+(400+25 x) \log (x)}\right) \left(x+75 x^4+\left(2400 x^3+150 x^4\right) \log (x)+\left(16+19200 x^2+2400 x^3+75 x^4\right) \log ^2(x)\right)}{25 x^2+\left(800 x+50 x^2\right) \log (x)+\left(6400+800 x+25 x^2\right) \log ^2(x)} \, dx","Integrate[(E^((25*x^4 + (x + 400*x^3 + 25*x^4)*Log[x])/(25*x + (400 + 25*x)*Log[x]))*(x + 75*x^4 + (2400*x^3 + 150*x^4)*Log[x] + (16 + 19200*x^2 + 2400*x^3 + 75*x^4)*Log[x]^2))/(25*x^2 + (800*x + 50*x^2)*Log[x] + (6400 + 800*x + 25*x^2)*Log[x]^2),x]","e^{\frac{x^4}{x+(x+16) \log (x)}+x^3+\frac{x}{25 x+400}} x^{-\frac{25 x^5+400 x^4+x^2}{25 (x+16) \log (x) (x+(x+16) \log (x))}}","e^{x \left(x^2+\frac{1}{25 \left(x+\frac{x}{\log (x)}+16\right)}\right)}+1",1,"E^(x^3 + x/(400 + 25*x) + x^4/(x + (16 + x)*Log[x]))/x^((x^2 + 400*x^4 + 25*x^5)/(25*(16 + x)*Log[x]*(x + (16 + x)*Log[x])))","B",1
4327,1,54,23,0.0280897,"\int \frac{6 x+3 x^2+2 x \log \left(\frac{1+2 e^3+e^6}{4 e^6}\right)}{9+18 x+9 x^2+(6+6 x) \log \left(\frac{1+2 e^3+e^6}{4 e^6}\right)+\log ^2\left(\frac{1+2 e^3+e^6}{4 e^6}\right)} \, dx","Integrate[(6*x + 3*x^2 + 2*x*Log[(1 + 2*E^3 + E^6)/(4*E^6)])/(9 + 18*x + 9*x^2 + (6 + 6*x)*Log[(1 + 2*E^3 + E^6)/(4*E^6)] + Log[(1 + 2*E^3 + E^6)/(4*E^6)]^2),x]","\frac{1}{9} \left(3 x-\frac{\left(3+\log (4)-2 \log \left(1+e^3\right)\right)^2}{-3 x+3-2 \log \left(1+e^3\right)+\log (4)}-3+2 \log \left(1+e^3\right)-\log (4)\right)","\frac{x^2}{3 x+3+\log \left(\frac{1}{4} \left(1+\frac{1}{e^3}\right)^2\right)}",1,"(-3 + 3*x - Log[4] - (3 + Log[4] - 2*Log[1 + E^3])^2/(3 - 3*x + Log[4] - 2*Log[1 + E^3]) + 2*Log[1 + E^3])/9","B",1
4328,1,19,15,0.0011625,"\int \frac{88 e^5+e (33+88 x)}{16 e} \, dx","Integrate[(88*E^5 + E*(33 + 88*x))/(16*E),x]","\frac{11}{16} \left(4 x^2+8 e^4 x+3 x\right)","\frac{11}{4} x \left(x+2 e^4+\frac{3}{4}\right)",1,"(11*(3*x + 8*E^4*x + 4*x^2))/16","A",1
4329,1,28,23,0.3928636,"\int \frac{-625 e^x x+e^x (625-625 x) \log \left(3 e^x\right)+e^x (-100+100 x) \log ^2\left(3 e^x\right)}{10000 x^2-3200 x^2 \log \left(3 e^x\right)+256 x^2 \log ^2\left(3 e^x\right)} \, dx","Integrate[(-625*E^x*x + E^x*(625 - 625*x)*Log[3*E^x] + E^x*(-100 + 100*x)*Log[3*E^x]^2)/(10000*x^2 - 3200*x^2*Log[3*E^x] + 256*x^2*Log[3*E^x]^2),x]","\frac{25 e^x \log \left(3 e^x\right)}{16 x \left(4 \log \left(3 e^x\right)-25\right)}","\frac{e^x}{\frac{64 x}{25}-\frac{16 x}{\log \left(3 e^x\right)}}",1,"(25*E^x*Log[3*E^x])/(16*x*(-25 + 4*Log[3*E^x]))","A",1
4330,1,23,23,0.102425,"\int \frac{54-6 x^2+\left(72 x+8 x^2+8 x^3\right) \log \left(\frac{9+x+x^2}{x}\right) \log ^2\left(\log \left(\frac{9+x+x^2}{x}\right)\right)}{\left(\left(27 x+3 x^2+3 x^3\right) \log \left(\frac{9+x+x^2}{x}\right) \log \left(\log \left(\frac{9+x+x^2}{x}\right)\right)+\left(-45 x+31 x^2-x^3+4 x^4\right) \log \left(\frac{9+x+x^2}{x}\right) \log ^2\left(\log \left(\frac{9+x+x^2}{x}\right)\right)\right) \log \left(\frac{3+(-5+4 x) \log \left(\log \left(\frac{9+x+x^2}{x}\right)\right)}{\log \left(\log \left(\frac{9+x+x^2}{x}\right)\right)}\right)} \, dx","Integrate[(54 - 6*x^2 + (72*x + 8*x^2 + 8*x^3)*Log[(9 + x + x^2)/x]*Log[Log[(9 + x + x^2)/x]]^2)/(((27*x + 3*x^2 + 3*x^3)*Log[(9 + x + x^2)/x]*Log[Log[(9 + x + x^2)/x]] + (-45*x + 31*x^2 - x^3 + 4*x^4)*Log[(9 + x + x^2)/x]*Log[Log[(9 + x + x^2)/x]]^2)*Log[(3 + (-5 + 4*x)*Log[Log[(9 + x + x^2)/x]])/Log[Log[(9 + x + x^2)/x]]]),x]","2 \log \left(\log \left(4 x+\frac{3}{\log \left(\log \left(x+\frac{9}{x}+1\right)\right)}-5\right)\right)","\log \left(\log ^2\left(4 x+\frac{3}{\log \left(\log \left(x+\frac{9}{x}+1\right)\right)}-5\right)\right)",1,"2*Log[Log[-5 + 4*x + 3/Log[Log[1 + 9/x + x]]]]","A",1
4331,1,12,23,0.0035191,"\int \frac{e^{5+\frac{-e^5+2 x}{x}}}{x^2} \, dx","Integrate[E^(5 + (-E^5 + 2*x)/x)/x^2,x]","e^{2-\frac{e^5}{x}}","e^{3-\frac{x+e^5}{x}}-16+e^3+\log ^2(2)",1,"E^(2 - E^5/x)","A",1
4332,1,25,28,0.4852847,"\int \frac{-54 x+3 x^2+12 e^x x^2+\left(6 x^2+e^x \left(-12 x^2+12 x^3\right)\right) \log (x)}{81-54 x+9 x^2+\left(-36 x+12 x^2+e^x \left(72 x-24 x^2\right)\right) \log (x)+\left(4 x^2-16 e^x x^2+16 e^{2 x} x^2\right) \log ^2(x)} \, dx","Integrate[(-54*x + 3*x^2 + 12*E^x*x^2 + (6*x^2 + E^x*(-12*x^2 + 12*x^3))*Log[x])/(81 - 54*x + 9*x^2 + (-36*x + 12*x^2 + E^x*(72*x - 24*x^2))*Log[x] + (4*x^2 - 16*E^x*x^2 + 16*E^(2*x)*x^2)*Log[x]^2),x]","-\frac{3 x^2}{-3 x+4 e^x x \log (x)-2 x \log (x)+9}","5-\frac{x^2}{-x-\frac{1}{3} \left(2-4 e^x\right) x \log (x)+3}",1,"(-3*x^2)/(9 - 3*x - 2*x*Log[x] + 4*E^x*x*Log[x])","A",1
4333,1,23,28,0.0921954,"\int \frac{e^{3+e^5} (-20+12 x)+e^{3+e^5} (-20+24 x) \log (x)}{\left(25 x^2-30 x^3+9 x^4\right) \log ^2(x)} \, dx","Integrate[(E^(3 + E^5)*(-20 + 12*x) + E^(3 + E^5)*(-20 + 24*x)*Log[x])/((25*x^2 - 30*x^3 + 9*x^4)*Log[x]^2),x]","-\frac{4 e^{3+e^5}}{x (3 x-5) \log (x)}","\frac{e^{3+e^5}}{\left(\frac{3}{4} (3-x) x-x\right) \log (x)}",1,"(-4*E^(3 + E^5))/(x*(-5 + 3*x)*Log[x])","A",1
4334,0,0,26,0.3055129,"\int \frac{-1800 x+1800 \log (4)+e^{x/5} \left(-360 x+72 x^2+(360-72 x) \log (4)\right)+\left(1800 x+360 e^{x/5} x-360 x^2\right) \log \left(\frac{-75-15 e^{x/5}+15 x}{x}\right)}{25 x+5 e^{x/5} x-5 x^2} \, dx","Integrate[(-1800*x + 1800*Log[4] + E^(x/5)*(-360*x + 72*x^2 + (360 - 72*x)*Log[4]) + (1800*x + 360*E^(x/5)*x - 360*x^2)*Log[(-75 - 15*E^(x/5) + 15*x)/x])/(25*x + 5*E^(x/5)*x - 5*x^2),x]","\int \frac{-1800 x+1800 \log (4)+e^{x/5} \left(-360 x+72 x^2+(360-72 x) \log (4)\right)+\left(1800 x+360 e^{x/5} x-360 x^2\right) \log \left(\frac{-75-15 e^{x/5}+15 x}{x}\right)}{25 x+5 e^{x/5} x-5 x^2} \, dx","72 (x-\log (4)) \log \left(\frac{15 \left(x-e^{x/5}-5\right)}{x}\right)",1,"Integrate[(-1800*x + 1800*Log[4] + E^(x/5)*(-360*x + 72*x^2 + (360 - 72*x)*Log[4]) + (1800*x + 360*E^(x/5)*x - 360*x^2)*Log[(-75 - 15*E^(x/5) + 15*x)/x])/(25*x + 5*E^(x/5)*x - 5*x^2), x]","F",-1
4335,1,18,19,0.3377104,"\int \frac{-e^x+3 e^{5 x}+e^{5 x} (1+5 x) \log \left(x^3\right)}{-2-e^x+e^{5 x} x \log \left(x^3\right)} \, dx","Integrate[(-E^x + 3*E^(5*x) + E^(5*x)*(1 + 5*x)*Log[x^3])/(-2 - E^x + E^(5*x)*x*Log[x^3]),x]","\log \left(-e^{5 x} x \log \left(x^3\right)+e^x+2\right)","\log \left(e^{5 x} x \log \left(x^3\right)-e^x-2\right)",1,"Log[2 + E^x - E^(5*x)*x*Log[x^3]]","A",1
4336,1,44,35,0.1168831,"\int \frac{e^{1+e^5} x+e^{-4+2 e^5} \left(e^3 (-1+x)-2 e^6 x+e^{3+x} \left(2 x-x^2\right)\right)-e^{-1+2 e^5} x \log (x)}{x+e^{-2+e^5} \left(2 e^x x+e^3 \left(-6 x+2 x^2\right)\right)+e^{-4+2 e^5} \left(e^{2 x} x+e^{3+x} \left(-6 x+2 x^2\right)+e^6 \left(9 x-6 x^2+x^3\right)\right)+\left(-2 e^{-2+e^5} x+e^{-4+2 e^5} \left(-2 e^x x+e^3 \left(6 x-2 x^2\right)\right)\right) \log (x)+e^{-4+2 e^5} x \log ^2(x)} \, dx","Integrate[(E^(1 + E^5)*x + E^(-4 + 2*E^5)*(E^3*(-1 + x) - 2*E^6*x + E^(3 + x)*(2*x - x^2)) - E^(-1 + 2*E^5)*x*Log[x])/(x + E^(-2 + E^5)*(2*E^x*x + E^3*(-6*x + 2*x^2)) + E^(-4 + 2*E^5)*(E^(2*x)*x + E^(3 + x)*(-6*x + 2*x^2) + E^6*(9*x - 6*x^2 + x^3)) + (-2*E^(-2 + E^5)*x + E^(-4 + 2*E^5)*(-2*E^x*x + E^3*(6*x - 2*x^2)))*Log[x] + E^(-4 + 2*E^5)*x*Log[x]^2),x]","\frac{e^{3+e^5} (x-1)}{e^{3+e^5} (x-3)+e^{x+e^5}-e^{e^5} \log (x)+e^2}","\frac{1-x}{-x-\frac{e^x-\log (x)+e^{2-e^5}}{e^3}+3}",1,"(E^(3 + E^5)*(-1 + x))/(E^2 + E^(E^5 + x) + E^(3 + E^5)*(-3 + x) - E^E^5*Log[x])","A",1
4337,1,24,24,0.1053202,"\int \frac{\left(-8 x+4 x^2\right) \log (-2+x)+\left(2 x^2-x^3+(2-x) \log (3)\right) \log (-2+x) \log ^2\left(x^2\right)+\left(-2 x^2 \log \left(x^2\right)+\left(-x^3+x \log (3)\right) \log ^2\left(x^2\right)\right) \log \left(\frac{-2 x+\left(-x^2+\log (3)\right) \log \left(x^2\right)}{x \log \left(x^2\right)}\right)}{\left(4 x^2-2 x^3\right) \log \left(x^2\right)+\left(2 x^3-x^4+\left(-2 x+x^2\right) \log (3)\right) \log ^2\left(x^2\right)} \, dx","Integrate[((-8*x + 4*x^2)*Log[-2 + x] + (2*x^2 - x^3 + (2 - x)*Log[3])*Log[-2 + x]*Log[x^2]^2 + (-2*x^2*Log[x^2] + (-x^3 + x*Log[3])*Log[x^2]^2)*Log[(-2*x + (-x^2 + Log[3])*Log[x^2])/(x*Log[x^2])])/((4*x^2 - 2*x^3)*Log[x^2] + (2*x^3 - x^4 + (-2*x + x^2)*Log[3])*Log[x^2]^2),x]","\log (x-2) \log \left(-\frac{2}{\log \left(x^2\right)}-x+\frac{\log (3)}{x}\right)","\log (x-2) \log \left(-\frac{2}{\log \left(x^2\right)}-x+\frac{\log (3)}{x}\right)",1,"Log[-2 + x]*Log[-x + Log[3]/x - 2/Log[x^2]]","A",1
4338,1,32,32,0.1886194,"\int \frac{16-24 e^{2 x}-16 x+e^x \left(40-8 x-4 x^2\right)}{-2 x+3 e^{2 x} x+e^x \left(-5 x-x^2\right)} \, dx","Integrate[(16 - 24*E^(2*x) - 16*x + E^x*(40 - 8*x - 4*x^2))/(-2*x + 3*E^(2*x)*x + E^x*(-5*x - x^2)),x]","4 \left(2 x-2 \log (x)-\log \left(e^x x+5 e^x-3 e^{2 x}+2\right)\right)","4 \left(-\log \left(\frac{1}{15} \left(-x-2 e^{-x}+3 e^x-5\right) x^2\right)+x+4\right)",1,"4*(2*x - 2*Log[x] - Log[2 + 5*E^x - 3*E^(2*x) + E^x*x])","A",1
4339,1,38,32,0.2680835,"\int \frac{e^{e^x} \left(5-10 x+e^x \left(25-5 x+5 x^2\right)-80 x^2 \log ^3\left(x^2\right)+\left(-30 x^2+10 e^x x^3\right) \log ^4\left(x^2\right)-80 x^3 \log ^7\left(x^2\right)+\left(-20 x^3+5 e^x x^4\right) \log ^8\left(x^2\right)\right)}{25-10 x+11 x^2-2 x^3+x^4+\left(20 x^3-4 x^4+4 x^5\right) \log ^4\left(x^2\right)+\left(10 x^4-2 x^5+6 x^6\right) \log ^8\left(x^2\right)+4 x^7 \log ^{12}\left(x^2\right)+x^8 \log ^{16}\left(x^2\right)} \, dx","Integrate[(E^E^x*(5 - 10*x + E^x*(25 - 5*x + 5*x^2) - 80*x^2*Log[x^2]^3 + (-30*x^2 + 10*E^x*x^3)*Log[x^2]^4 - 80*x^3*Log[x^2]^7 + (-20*x^3 + 5*E^x*x^4)*Log[x^2]^8))/(25 - 10*x + 11*x^2 - 2*x^3 + x^4 + (20*x^3 - 4*x^4 + 4*x^5)*Log[x^2]^4 + (10*x^4 - 2*x^5 + 6*x^6)*Log[x^2]^8 + 4*x^7*Log[x^2]^12 + x^8*Log[x^2]^16),x]","\frac{5 e^{e^x}}{x^2+x^4 \log ^8\left(x^2\right)+2 x^3 \log ^4\left(x^2\right)-x+5}","\frac{e^{e^x}}{\frac{1}{5} \left(\left(x^2 \log ^4\left(x^2\right)+x\right)^2-x\right)+1}",1,"(5*E^E^x)/(5 - x + x^2 + 2*x^3*Log[x^2]^4 + x^4*Log[x^2]^8)","A",1
4340,1,26,27,0.2916554,"\int \frac{648-8 e^3+e^{\frac{e^{2+x}}{4}} \left(324-4 e^3+e^{2+x} \left(-81 x+e^3 x\right)\right)}{16+4 e^{\frac{e^{2+x}}{2}}+e^{\frac{e^{2+x}}{4}} (16-16 x)-32 x+16 x^2} \, dx","Integrate[(648 - 8*E^3 + E^(E^(2 + x)/4)*(324 - 4*E^3 + E^(2 + x)*(-81*x + E^3*x)))/(16 + 4*E^(E^(2 + x)/2) + E^(E^(2 + x)/4)*(16 - 16*x) - 32*x + 16*x^2),x]","-\frac{\left(e^3-81\right) x}{-2 x+e^{\frac{e^{x+2}}{4}}+2}","\frac{\left(e^3-81\right) x}{2 x-e^{\frac{e^{x+2}}{4}}-2}",1,"-(((-81 + E^3)*x)/(2 + E^(E^(2 + x)/4) - 2*x))","A",1
4341,1,18,20,0.0207995,"\int e^{\frac{1}{2} \left(-e^x+x\right)} \left(-6 x^2-x^3+e^x x^3\right) \, dx","Integrate[E^((-E^x + x)/2)*(-6*x^2 - x^3 + E^x*x^3),x]","-2 e^{\frac{1}{2} \left(x-e^x\right)} x^3","-2 e^{\frac{1}{2} \left(x-e^x\right)} x^3-4",1,"-2*E^((-E^x + x)/2)*x^3","A",1
4342,1,42,25,0.1008498,"\int \frac{10 x^2+4 x^3+e^{5+x^2 \log (7)} \left(1+2 x^2+\left(-2 x^2+20 x^3+4 x^4\right) \log (7)\right)}{2 x^2} \, dx","Integrate[(10*x^2 + 4*x^3 + E^(5 + x^2*Log[7])*(1 + 2*x^2 + (-2*x^2 + 20*x^3 + 4*x^4)*Log[7]))/(2*x^2),x]","x^2+e^5 7^{x^2} x+5 e^5 7^{x^2}-\frac{e^5 7^{x^2}}{2 x}+5 x","\left(x-\frac{1}{2 x}+5\right) \left(e^{x^2 \log (7)+5}+x\right)-1",1,"5*7^x^2*E^5 - (7^x^2*E^5)/(2*x) + 5*x + 7^x^2*E^5*x + x^2","A",1
4343,1,36,28,0.1140174,"\int \frac{-\frac{240}{e^3}+e^{e^{-3+e^{e^x}}} \left(-\frac{60}{e^3}+4 e^{-6+e^{e^x}+e^x+x} x^2\right)+\left(-\frac{32 x}{e^3}-8 e^{-3+e^{-3+e^{e^x}}} x\right) \log \left(4+e^{e^{-3+e^{e^x}}}\right)}{4 x^4+e^{e^{-3+e^{e^x}}} x^4} \, dx","Integrate[(-240/E^3 + E^E^(-3 + E^E^x)*(-60/E^3 + 4*E^(-6 + E^E^x + E^x + x)*x^2) + ((-32*x)/E^3 - 8*E^(-3 + E^(-3 + E^E^x))*x)*Log[4 + E^E^(-3 + E^E^x)])/(4*x^4 + E^E^(-3 + E^E^x)*x^4),x]","-\frac{4 \left(-\frac{5 e^3}{x^3}-\frac{e^3 \log \left(e^{e^{e^{e^x}-3}}+4\right)}{x^2}\right)}{e^6}","\frac{4 \left(\frac{5}{x}+\log \left(e^{e^{e^{e^x}-3}}+4\right)\right)}{e^3 x^2}",1,"(-4*((-5*E^3)/x^3 - (E^3*Log[4 + E^E^(-3 + E^E^x)])/x^2))/E^6","A",1
4344,1,30,23,0.2425828,"\int \frac{8 x^3+6 x^5-4 x^6+e^{x^2} \left(16-16 x^2+x^3-4 x^4+2 x^5\right)}{8 x^4+2 x^6-x^7+e^{x^2} \left(-8 x-2 x^3+x^4\right)} \, dx","Integrate[(8*x^3 + 6*x^5 - 4*x^6 + E^x^2*(16 - 16*x^2 + x^3 - 4*x^4 + 2*x^5))/(8*x^4 + 2*x^6 - x^7 + E^x^2*(-8*x - 2*x^3 + x^4)),x]","\log \left(e^{x^2}-x^3\right)+\log \left(-x^3+2 x^2+8\right)-2 \log (x)","\log \left(\left(\frac{8}{x^2}-x+2\right) \left(x^3-e^{x^2}\right)\right)",1,"-2*Log[x] + Log[E^x^2 - x^3] + Log[8 + 2*x^2 - x^3]","A",1
4345,1,18,22,0.0134732,"\int \frac{-3 \log (144)-3 e^9 x \log (4 x)}{x \log (144) \log (4 x)} \, dx","Integrate[(-3*Log[144] - 3*E^9*x*Log[4*x])/(x*Log[144]*Log[4*x]),x]","-\frac{3 e^9 x}{\log (144)}-3 \log (\log (4 x))","5-3 \left(\frac{e^9 x}{\log (144)}+\log (\log (4 x))+e^4\right)",1,"(-3*E^9*x)/Log[144] - 3*Log[Log[4*x]]","A",1
4346,1,7,12,0.0000747,"\int -\frac{1}{\log (4)} \, dx","Integrate[-Log[4]^(-1),x]","-\frac{x}{\log (4)}","\frac{\frac{5}{4}-x}{\log (4)}",1,"-(x/Log[4])","A",1
4347,1,16,23,0.2016071,"\int \frac{e^x \left(-4+9 x+3 x^2\right)}{121+330 x+291 x^2+90 x^3+9 x^4} \, dx","Integrate[(E^x*(-4 + 9*x + 3*x^2))/(121 + 330*x + 291*x^2 + 90*x^3 + 9*x^4),x]","\frac{e^x}{3 x^2+15 x+11}","\frac{e^x}{-\frac{3 (-x-4) \left(x^2+x\right)}{x}-1}",1,"E^x/(11 + 15*x + 3*x^2)","A",1
4348,1,32,23,0.1286691,"\int \frac{4-4 x-8 x^2+4 x^3+16 x^4+16 x^5+\left(4+16 x-4 x^2-24 x^3-32 x^4\right) \log (\log (5))+\left(-8+8 x^2+16 x^3\right) \log ^2(\log (5))+\left(8 x^2+32 x^3+32 x^4+\left(-8 x-48 x^2-64 x^3\right) \log (\log (5))+\left(16 x+32 x^2\right) \log ^2(\log (5))\right) \log \left(\frac{1+2 x-2 \log (\log (5))}{-x+\log (\log (5))}\right)+\left(4 x+16 x^2+16 x^3+\left(-4-24 x-32 x^2\right) \log (\log (5))+(8+16 x) \log ^2(\log (5))\right) \log ^2\left(\frac{1+2 x-2 \log (\log (5))}{-x+\log (\log (5))}\right)}{x^3+2 x^4+\left(-x^2-4 x^3\right) \log (\log (5))+2 x^2 \log ^2(\log (5))+\left(2 x^2+4 x^3+\left(-2 x-8 x^2\right) \log (\log (5))+4 x \log ^2(\log (5))\right) \log \left(\frac{1+2 x-2 \log (\log (5))}{-x+\log (\log (5))}\right)+\left(x+2 x^2+(-1-4 x) \log (\log (5))+2 \log ^2(\log (5))\right) \log ^2\left(\frac{1+2 x-2 \log (\log (5))}{-x+\log (\log (5))}\right)} \, dx","Integrate[(4 - 4*x - 8*x^2 + 4*x^3 + 16*x^4 + 16*x^5 + (4 + 16*x - 4*x^2 - 24*x^3 - 32*x^4)*Log[Log[5]] + (-8 + 8*x^2 + 16*x^3)*Log[Log[5]]^2 + (8*x^2 + 32*x^3 + 32*x^4 + (-8*x - 48*x^2 - 64*x^3)*Log[Log[5]] + (16*x + 32*x^2)*Log[Log[5]]^2)*Log[(1 + 2*x - 2*Log[Log[5]])/(-x + Log[Log[5]])] + (4*x + 16*x^2 + 16*x^3 + (-4 - 24*x - 32*x^2)*Log[Log[5]] + (8 + 16*x)*Log[Log[5]]^2)*Log[(1 + 2*x - 2*Log[Log[5]])/(-x + Log[Log[5]])]^2)/(x^3 + 2*x^4 + (-x^2 - 4*x^3)*Log[Log[5]] + 2*x^2*Log[Log[5]]^2 + (2*x^2 + 4*x^3 + (-2*x - 8*x^2)*Log[Log[5]] + 4*x*Log[Log[5]]^2)*Log[(1 + 2*x - 2*Log[Log[5]])/(-x + Log[Log[5]])] + (x + 2*x^2 + (-1 - 4*x)*Log[Log[5]] + 2*Log[Log[5]]^2)*Log[(1 + 2*x - 2*Log[Log[5]])/(-x + Log[Log[5]])]^2),x]","4 \left(x^2+x+\frac{1}{x+\log \left(\frac{2 x+1-2 \log (\log (5))}{\log (\log (5))-x}\right)}\right)","4 \left(x^2+x+\frac{1}{x+\log \left(\frac{1}{\log (\log (5))-x}-2\right)}\right)",1,"4*(x + x^2 + (x + Log[(1 + 2*x - 2*Log[Log[5]])/(-x + Log[Log[5]])])^(-1))","A",1
4349,1,28,28,0.8390807,"\int \frac{e^{e^{-4+e^{\frac{1}{4} \left(e^x+8 x\right)}}} \left(\exp \left(-4+e^{\frac{1}{4} \left(e^x+8 x\right)}+\frac{1}{4} \left(e^x+8 x\right)+\log ^2(x)\right) \left(8 x+e^x x\right)+8 e^{\log ^2(x)} \log (x)\right)}{8 x} \, dx","Integrate[(E^E^(-4 + E^((E^x + 8*x)/4))*(E^(-4 + E^((E^x + 8*x)/4) + (E^x + 8*x)/4 + Log[x]^2)*(8*x + E^x*x) + 8*E^Log[x]^2*Log[x]))/(8*x),x]","\frac{1}{2} e^{e^{e^{2 x+\frac{e^x}{4}}-4}+\log ^2(x)}","\frac{1}{2} e^{e^{e^{2 x+\frac{e^x}{4}}-4}+\log ^2(x)}",1,"E^(E^(-4 + E^(E^x/4 + 2*x)) + Log[x]^2)/2","A",1
4350,1,7,18,0.0006526,"\int \frac{-3+x^2}{x^2} \, dx","Integrate[(-3 + x^2)/x^2,x]","x+\frac{3}{x}","x+\frac{3}{x}-e^{8-2 e^4}",1,"3/x + x","A",1
4351,1,15,14,0.0084503,"\int \frac{e^{\frac{1}{12} \left(x^2-\log (x)\right)} \left(-1+2 x^2\right)}{12 x} \, dx","Integrate[(E^((x^2 - Log[x])/12)*(-1 + 2*x^2))/(12*x),x]","\frac{e^{\frac{x^2}{12}}}{\sqrt[12]{x}}","e^{\frac{1}{12} \left(x^2-\log (x)\right)}",1,"E^(x^2/12)/x^(1/12)","A",1
4352,1,21,28,0.2235992,"\int \frac{24+e^{2 x^2} \left(6+24 x^2-32 \log (4)\right)-64 \log (4)-4 e^{4 x^2} \log (4)}{16 x^2+8 e^{2 x^2} x^2+e^{4 x^2} x^2} \, dx","Integrate[(24 + E^(2*x^2)*(6 + 24*x^2 - 32*Log[4]) - 64*Log[4] - 4*E^(4*x^2)*Log[4])/(16*x^2 + 8*E^(2*x^2)*x^2 + E^(4*x^2)*x^2),x]","\frac{2 \left(\log (16)-\frac{3}{e^{2 x^2}+4}\right)}{x}","\frac{x-4 \left(\frac{3}{2 \left(e^{2 x^2}+4\right)}-\log (4)\right)}{x}",1,"(2*(-3/(4 + E^(2*x^2)) + Log[16]))/x","A",1
4353,1,17,17,0.0490971,"\int \frac{e^{10+x} \left(x^3+x^4+e^{\frac{2 \left(625+4 x^2\right)}{x^2}} \left(-2500+x^3\right)\right)}{x^3} \, dx","Integrate[(E^(10 + x)*(x^3 + x^4 + E^((2*(625 + 4*x^2))/x^2)*(-2500 + x^3)))/x^3,x]","e^{x+10} \left(e^{\frac{1250}{x^2}+8}+x\right)","e^{x+10} \left(e^{\frac{1250}{x^2}+8}+x\right)",1,"E^(10 + x)*(E^(8 + 1250/x^2) + x)","A",1
4354,1,26,27,0.0044224,"\int \frac{2 e+32 x^3+\left(e+16 x^3\right) \left(i \pi +\log \left(-\left((-3+e) e^3\right)\right)\right)}{e} \, dx","Integrate[(2*E + 32*x^3 + (E + 16*x^3)*(I*Pi + Log[-((-3 + E)*E^3)]))/E,x]","\frac{\left(4 x^4+e x\right) (5+i \pi +\log (3-e))}{e}","\left(\frac{4 x^4}{e}+x\right) \left(2+i \pi +\log \left(-\left((e-3) e^3\right)\right)\right)",1,"((E*x + 4*x^4)*(5 + I*Pi + Log[3 - E]))/E","A",1
4355,1,54,19,0.7117296,"\int \frac{4+8 x+14 x^2+24 x^3+36 x^4+32 x^5+18 x^6+6 x^7+x^8}{-2 x-2 x^2-x^3+\left(8 x^3+24 x^4+36 x^5+32 x^6+18 x^7+6 x^8+x^9\right) \log (x)} \, dx","Integrate[(4 + 8*x + 14*x^2 + 24*x^3 + 36*x^4 + 32*x^5 + 18*x^6 + 6*x^7 + x^8)/(-2*x - 2*x^2 - x^3 + (8*x^3 + 24*x^4 + 36*x^5 + 32*x^6 + 18*x^7 + 6*x^8 + x^9)*Log[x]),x]","-2 \log \left(x^2+2 x+2\right)+\log \left(x^6 (-\log (x))-4 x^5 \log (x)-8 x^4 \log (x)-8 x^3 \log (x)-4 x^2 \log (x)+1\right)-2 \log (x)","\log \left(\log (x)-\frac{1}{x^2 \left(x^2+2 x+2\right)^2}\right)",1,"-2*Log[x] - 2*Log[2 + 2*x + x^2] + Log[1 - 4*x^2*Log[x] - 8*x^3*Log[x] - 8*x^4*Log[x] - 4*x^5*Log[x] - x^6*Log[x]]","B",1
4356,1,24,25,1.04354,"\int \frac{\exp \left(\frac{8-4 x+64 e^{2 x} x+(128-64 x) \log (2)}{x+16 x \log (2)}\right) \left(-8+128 e^{2 x} x^2-128 \log (2)\right)}{x^2+16 x^2 \log (2)} \, dx","Integrate[(E^((8 - 4*x + 64*E^(2*x)*x + (128 - 64*x)*Log[2])/(x + 16*x*Log[2]))*(-8 + 128*E^(2*x)*x^2 - 128*Log[2]))/(x^2 + 16*x^2*Log[2]),x]","e^{\frac{8}{x}+\frac{64 e^{2 x}}{1+16 \log (2)}-4}","e^{4 \left(\frac{2}{x}+\frac{e^{2 x}}{\frac{1}{16}+\log (2)}-1\right)}",1,"E^(-4 + 8/x + (64*E^(2*x))/(1 + 16*Log[2]))","A",1
4357,1,24,29,0.1665506,"\int \frac{-300+170 x-10 x^2-130 x \log (2 x) \log (\log (2 x)) \log (\log (\log (2 x)))+\left(-900 x+120 x^2-4 x^3\right) \log (2 x) \log (\log (2 x)) \log ^2(\log (\log (2 x)))}{\left(225 x-30 x^2+x^3\right) \log (2 x) \log (\log (2 x)) \log ^2(\log (\log (2 x)))} \, dx","Integrate[(-300 + 170*x - 10*x^2 - 130*x*Log[2*x]*Log[Log[2*x]]*Log[Log[Log[2*x]]] + (-900*x + 120*x^2 - 4*x^3)*Log[2*x]*Log[Log[2*x]]*Log[Log[Log[2*x]]]^2)/((225*x - 30*x^2 + x^3)*Log[2*x]*Log[Log[2*x]]*Log[Log[Log[2*x]]]^2),x]","-2 \left(2 x-\frac{5 (x-2)}{(x-15) \log (\log (\log (2 x)))}\right)","x+(2-x) \left(\frac{2}{\left(3-\frac{x}{5}\right) \log (\log (\log (2 x)))}+5\right)",1,"-2*(2*x - (5*(-2 + x))/((-15 + x)*Log[Log[Log[2*x]]]))","A",1
4358,1,36,21,0.0025411,"\int \left(55+e^2 (44-22 x)-11 x-11 e^4 x\right) \, dx","Integrate[55 + E^2*(44 - 22*x) - 11*x - 11*E^4*x,x]","-11 \left(\frac{e^4 x^2}{2}+e^2 x^2+\frac{x^2}{2}-4 e^2 x-5 x\right)","\frac{11}{2} \left(-\left(e^2 x+x-4\right)^2+2 x+1\right)",1,"-11*(-5*x - 4*E^2*x + x^2/2 + E^2*x^2 + (E^4*x^2)/2)","A",1
4359,1,26,22,0.120675,"\int \frac{2-6 x+e^{18} \left(-100 x-20 e x-e^2 x\right)}{-6 x^2+e^{18} \left(-100 x^2-20 e x^2-e^2 x^2\right)+2 x \log (x)} \, dx","Integrate[(2 - 6*x + E^18*(-100*x - 20*E*x - E^2*x))/(-6*x^2 + E^18*(-100*x^2 - 20*E*x^2 - E^2*x^2) + 2*x*Log[x]),x]","\log \left(e^{20} x+20 e^{19} x+100 e^{18} x+6 x-2 \log (x)\right)","\log \left(\frac{1}{2} e^{18} (10+e)^2 x+3 x-\log (x)\right)",1,"Log[6*x + 100*E^18*x + 20*E^19*x + E^20*x - 2*Log[x]]","A",1
4360,1,13,20,0.0096359,"\int \frac{-12-4 x}{144+84 x+16 x^2+x^3+\left(-48-20 x-2 x^2\right) \log (4+x)+(4+x) \log ^2(4+x)} \, dx","Integrate[(-12 - 4*x)/(144 + 84*x + 16*x^2 + x^3 + (-48 - 20*x - 2*x^2)*Log[4 + x] + (4 + x)*Log[4 + x]^2),x]","\frac{4}{x-\log (x+4)+6}","\log \left(2 e^{\frac{4}{x-\log (x+4)+6}-2}\right)",1,"4/(6 + x - Log[4 + x])","A",1
4361,1,6,6,0.0012809,"\int \frac{2 \log (-5 x)}{x} \, dx","Integrate[(2*Log[-5*x])/x,x]","\log ^2(-5 x)","\log ^2(-5 x)",1,"Log[-5*x]^2","A",1
4362,1,35,30,0.2590616,"\int \frac{-1-e^4+6 x-3 x^2+e^{2 x} \left(13+e^4 (13-2 x)+12 x+11 x^2-2 x^3\right)}{-3+e^4 (-3+x)+x-3 x^2+x^3+e^{2 x} \left(-7+e^4 (-7+x)+x-7 x^2+x^3\right)} \, dx","Integrate[(-1 - E^4 + 6*x - 3*x^2 + E^(2*x)*(13 + E^4*(13 - 2*x) + 12*x + 11*x^2 - 2*x^3))/(-3 + E^4*(-3 + x) + x - 3*x^2 + x^3 + E^(2*x)*(-7 + E^4*(-7 + x) + x - 7*x^2 + x^3)),x]","-\log \left(x^2+e^4+1\right)-\log \left(-e^{2 x} x-x+7 e^{2 x}+3\right)","\log \left(\frac{1}{\left(e^{2 x} (7-x)-x+3\right) \left(x^2+e^4+1\right)}\right)",1,"-Log[3 + 7*E^(2*x) - x - E^(2*x)*x] - Log[1 + E^4 + x^2]","A",1
4363,1,34,29,0.5181707,"\int \frac{-10 x^2+e^x \left(-10+2 x-e^5 x^2-2 x^3\right)+\left(10 x^2+e^x \left(10+e^5 x^2+2 x^3\right)\right) \log (x)}{-2 e^x x^2+2 e^x x^2 \log (x)} \, dx","Integrate[(-10*x^2 + E^x*(-10 + 2*x - E^5*x^2 - 2*x^3) + (10*x^2 + E^x*(10 + E^5*x^2 + 2*x^3))*Log[x])/(-2*E^x*x^2 + 2*E^x*x^2*Log[x]),x]","\frac{1}{2} \left(x^2+e^5 x-10 e^{-x}-\frac{10}{x}+2 \log (1-\log (x))\right)","\frac{1}{2} x \left(x+e^5\right)-5 e^{-x}-\frac{5}{x}+\log (\log (x)-1)+3",1,"(-10/E^x - 10/x + E^5*x + x^2 + 2*Log[1 - Log[x]])/2","A",1
4364,1,19,23,0.0082614,"\int \frac{-2-8 e^4}{3-2 x-8 e^4 x+2 e^4 \log (5)} \, dx","Integrate[(-2 - 8*E^4)/(3 - 2*x - 8*E^4*x + 2*E^4*Log[5]),x]","\log \left(\left(2+8 e^4\right) x-3-2 e^4 \log (5)\right)","\log \left(-4 x+4 \left(2-e^4 (4 x-\log (5))\right)-2\right)",1,"Log[-3 + (2 + 8*E^4)*x - 2*E^4*Log[5]]","A",1
4365,1,11,14,0.0023573,"\int \left(1+20 e^5+e^x\right) \, dx","Integrate[1 + 20*E^5 + E^x,x]","20 e^5 x+x+e^x","x+e^x+20 \left(e^5 x+6\right)",1,"E^x + x + 20*E^5*x","A",1
4366,1,17,21,0.0178034,"\int \frac{e^{\frac{1}{4} \left(-99+20 e^{e^x}\right)} \left(-1+5 e^{e^x+x} x\right)}{x^2} \, dx","Integrate[(E^((-99 + 20*E^E^x)/4)*(-1 + 5*E^(E^x + x)*x))/x^2,x]","\frac{e^{5 e^{e^x}-\frac{99}{4}}}{x}","\frac{e^{5 \left(e^{e^x}-5\right)+\frac{1}{4}}}{x}+25",1,"E^(-99/4 + 5*E^E^x)/x","A",1
4367,1,15,20,0.0005415,"\int \frac{1}{8} (250-125 x) \, dx","Integrate[(250 - 125*x)/8,x]","-\frac{125}{8} \left(\frac{x^2}{2}-2 x\right)","5 \left(3-\frac{25}{16} (2-x)^2\right)+e^5-2",1,"(-125*(-2*x + x^2/2))/8","A",1
4368,1,14,17,0.1089129,"\int \frac{e^x \log (5)+e^x \log (5) \log (x)+e^x (-1+x) \log (5) \log (x) \log (x \log (x))}{x^2 \log (x)} \, dx","Integrate[(E^x*Log[5] + E^x*Log[5]*Log[x] + E^x*(-1 + x)*Log[5]*Log[x]*Log[x*Log[x]])/(x^2*Log[x]),x]","\frac{e^x \log (5) \log (x \log (x))}{x}","\log (5) \left(\frac{e^x \log (x \log (x))}{x}+9\right)",1,"(E^x*Log[5]*Log[x*Log[x]])/x","A",1
4369,1,11,13,0.0052943,"\int \frac{1-8 x \log (x)}{2 x \log (x)} \, dx","Integrate[(1 - 8*x*Log[x])/(2*x*Log[x]),x]","\frac{1}{2} \log (\log (x))-4 x","\frac{1}{4} \log \left(\log ^2(x)\right)-4 x",1,"-4*x + Log[Log[x]]/2","A",1
4370,1,13,16,0.0048575,"\int \frac{-3+7 x+3 e^x x}{3 x} \, dx","Integrate[(-3 + 7*x + 3*E^x*x)/(3*x),x]","\frac{7 x}{3}+e^x-\log (x)","\frac{7 x}{3}+e^x+\log \left(\frac{12}{x}\right)-5",1,"E^x + (7*x)/3 - Log[x]","A",1
4371,1,27,29,0.4486064,"\int \frac{e^{e^8} \left(20-4 e^x\right)+e^{e^8} \left(-20+4 e^x\right) \log (x)+e^{e^8} \left(10+e^x (-2+2 x)\right) \log (x) \log \left(\frac{x}{\log (x)}\right) \log \left(\log ^2\left(\frac{x}{\log (x)}\right)\right)}{\left(25-10 e^x+e^{2 x}\right) \log (x) \log \left(\frac{x}{\log (x)}\right) \log ^2\left(\log ^2\left(\frac{x}{\log (x)}\right)\right)} \, dx","Integrate[(E^E^8*(20 - 4*E^x) + E^E^8*(-20 + 4*E^x)*Log[x] + E^E^8*(10 + E^x*(-2 + 2*x))*Log[x]*Log[x/Log[x]]*Log[Log[x/Log[x]]^2])/((25 - 10*E^x + E^(2*x))*Log[x]*Log[x/Log[x]]*Log[Log[x/Log[x]]^2]^2),x]","-\frac{2 e^{e^8} x}{\left(e^x-5\right) \log \left(\log ^2\left(\frac{x}{\log (x)}\right)\right)}","\frac{2 e^{e^8} x}{\left(5-e^x\right) \log \left(\log ^2\left(\frac{x}{\log (x)}\right)\right)}",1,"(-2*E^E^8*x)/((-5 + E^x)*Log[Log[x/Log[x]]^2])","A",1
4372,0,0,37,2.1405219,"\int \frac{2 x+3 x^2+3 \log (5)+\left(-x-3 x^2-\log (5)\right) \log \left(\frac{x+3 x^2+\log (5)}{3 x}\right)}{-x-5 x^2-6 x^3+(-1-2 x) \log (5)+\left(x^2+3 x^3+x \log (5)\right) \log \left(\frac{x+3 x^2+\log (5)}{3 x}\right)} \, dx","Integrate[(2*x + 3*x^2 + 3*Log[5] + (-x - 3*x^2 - Log[5])*Log[(x + 3*x^2 + Log[5])/(3*x)])/(-x - 5*x^2 - 6*x^3 + (-1 - 2*x)*Log[5] + (x^2 + 3*x^3 + x*Log[5])*Log[(x + 3*x^2 + Log[5])/(3*x)]),x]","\int \frac{2 x+3 x^2+3 \log (5)+\left(-x-3 x^2-\log (5)\right) \log \left(\frac{x+3 x^2+\log (5)}{3 x}\right)}{-x-5 x^2-6 x^3+(-1-2 x) \log (5)+\left(x^2+3 x^3+x \log (5)\right) \log \left(\frac{x+3 x^2+\log (5)}{3 x}\right)} \, dx","\log \left(\frac{x}{2 \left(x^2 \left(\log \left(\frac{x^2+\frac{1}{3} (x+\log (5))}{x}\right)-2\right)-x\right)}\right)+4",1,"Integrate[(2*x + 3*x^2 + 3*Log[5] + (-x - 3*x^2 - Log[5])*Log[(x + 3*x^2 + Log[5])/(3*x)])/(-x - 5*x^2 - 6*x^3 + (-1 - 2*x)*Log[5] + (x^2 + 3*x^3 + x*Log[5])*Log[(x + 3*x^2 + Log[5])/(3*x)]), x]","F",-1
4373,1,46,36,0.1152106,"\int \frac{\left(-15-3 e^x+3 x\right) \log \left(5 x+e^x x-x^2\right)+\left(-40 x+16 x^2+e^x \left(-8 x-8 x^2\right)\right) \log \left(\log \left(5 x+e^x x-x^2\right)\right)+\left(-120-24 e^x+24 x\right) \log \left(5 x+e^x x-x^2\right) \log ^2\left(\log \left(5 x+e^x x-x^2\right)\right)+\left(-240-48 e^x+48 x\right) \log \left(5 x+e^x x-x^2\right) \log ^4\left(\log \left(5 x+e^x x-x^2\right)\right)}{\left(15 x^2+3 e^x x^2-3 x^3\right) \log \left(5 x+e^x x-x^2\right)+\left(120 x^2+24 e^x x^2-24 x^3\right) \log \left(5 x+e^x x-x^2\right) \log ^2\left(\log \left(5 x+e^x x-x^2\right)\right)+\left(240 x^2+48 e^x x^2-48 x^3\right) \log \left(5 x+e^x x-x^2\right) \log ^4\left(\log \left(5 x+e^x x-x^2\right)\right)} \, dx","Integrate[((-15 - 3*E^x + 3*x)*Log[5*x + E^x*x - x^2] + (-40*x + 16*x^2 + E^x*(-8*x - 8*x^2))*Log[Log[5*x + E^x*x - x^2]] + (-120 - 24*E^x + 24*x)*Log[5*x + E^x*x - x^2]*Log[Log[5*x + E^x*x - x^2]]^2 + (-240 - 48*E^x + 48*x)*Log[5*x + E^x*x - x^2]*Log[Log[5*x + E^x*x - x^2]]^4)/((15*x^2 + 3*E^x*x^2 - 3*x^3)*Log[5*x + E^x*x - x^2] + (120*x^2 + 24*E^x*x^2 - 24*x^3)*Log[5*x + E^x*x - x^2]*Log[Log[5*x + E^x*x - x^2]]^2 + (240*x^2 + 48*E^x*x^2 - 48*x^3)*Log[5*x + E^x*x - x^2]*Log[Log[5*x + E^x*x - x^2]]^4),x]","\frac{x+12 \log ^2\left(\log \left(-x \left(x-e^x-5\right)\right)\right)+3}{3 \left(x+4 x \log ^2\left(\log \left(-x \left(x-e^x-5\right)\right)\right)\right)}","\frac{1}{2} \left(\frac{2}{x}-\frac{2}{\frac{3}{4 \log ^2\left(\log \left(\left(-x+e^x+5\right) x\right)\right)}+3}\right)-3",1,"(3 + x + 12*Log[Log[-(x*(-5 - E^x + x))]]^2)/(3*(x + 4*x*Log[Log[-(x*(-5 - E^x + x))]]^2))","A",1
4374,1,16,33,0.0304961,"\int \frac{1}{3} e^{\frac{1}{3} \left(12-43 x+12 x^2\right)} (-172+96 x) \, dx","Integrate[(E^((12 - 43*x + 12*x^2)/3)*(-172 + 96*x))/3,x]","4 e^{4 x^2-\frac{43 x}{3}+4}","4 \exp \left(\left(\frac{4}{3}-4 x\right) \left(\frac{x (x+4)-x}{x}-2 x\right)-x\right)",1,"4*E^(4 - (43*x)/3 + 4*x^2)","A",1
4375,1,21,31,0.7536289,"\int \frac{e^{\frac{6}{-9-5 x+3 \log (x)}} \left(-36-39 x-60 x^2-25 x^3+\left(54 x+30 x^2\right) \log (x)-9 x \log ^2(x)\right)}{324 x+684 x^2+541 x^3+190 x^4+25 x^5+\left(-216 x-336 x^2-174 x^3-30 x^4\right) \log (x)+\left(36 x+36 x^2+9 x^3\right) \log ^2(x)} \, dx","Integrate[(E^(6/(-9 - 5*x + 3*Log[x]))*(-36 - 39*x - 60*x^2 - 25*x^3 + (54*x + 30*x^2)*Log[x] - 9*x*Log[x]^2))/(324*x + 684*x^2 + 541*x^3 + 190*x^4 + 25*x^5 + (-216*x - 336*x^2 - 174*x^3 - 30*x^4)*Log[x] + (36*x + 36*x^2 + 9*x^3)*Log[x]^2),x]","\frac{e^{\frac{6}{-5 x+3 \log (x)-9}}}{x+2}","\frac{e^{\frac{2}{-2 x+\frac{x+3}{3}+\log (x)-4}}}{x+2}-e+4",1,"E^(6/(-9 - 5*x + 3*Log[x]))/(2 + x)","A",1
4376,1,28,24,0.0861706,"\int \frac{e^{-2 x} \left(112+80 x+e^{2 x} \left(-8-60 x-150 x^2-125 x^3\right)\right)}{8+60 x+150 x^2+125 x^3} \, dx","Integrate[(112 + 80*x + E^(2*x)*(-8 - 60*x - 150*x^2 - 125*x^3))/(E^(2*x)*(8 + 60*x + 150*x^2 + 125*x^3)),x]","-x-\frac{8 e^{\frac{4}{5}-\frac{2}{5} (5 x+2)}}{(5 x+2)^2}","-x-\frac{2 e^{-2 x}}{\left(\frac{5 x}{2}+1\right)^2}+e^5-1",1,"-x - (8*E^(4/5 - (2*(2 + 5*x))/5))/(2 + 5*x)^2","A",1
4377,1,22,22,0.0258648,"\int \frac{1}{6} \left(2 x-216 x^2+24 x^3+e^x \left(9 x^2+3 x^3\right)\right) \, dx","Integrate[(2*x - 216*x^2 + 24*x^3 + E^x*(9*x^2 + 3*x^3))/6,x]","\frac{1}{6} x^2 \left(6 x^2+3 \left(e^x-24\right) x+1\right)","\frac{1}{2} x^3 \left(2 x+e^x+\frac{1}{3 x}-24\right)",1,"(x^2*(1 + 3*(-24 + E^x)*x + 6*x^2))/6","A",1
4378,1,22,25,0.433782,"\int \frac{1}{5} e^{\frac{1}{5} \left(-16 x-2 e x-2 e^4 x+2 x^2\right)} \left(-48-6 e-6 e^4+5 e^{\frac{1}{5} \left(16 x+2 e x+2 e^4 x-2 x^2\right)}+12 x\right) \, dx","Integrate[(E^((-16*x - 2*E*x - 2*E^4*x + 2*x^2)/5)*(-48 - 6*E - 6*E^4 + 5*E^((16*x + 2*E*x + 2*E^4*x - 2*x^2)/5) + 12*x))/5,x]","x+3 e^{\frac{2}{5} x \left(x-e^4-e-8\right)}","x+3 e^{-\frac{2}{5} \left(-x+e^4+e\right) x-\frac{16 x}{5}}",1,"3*E^((2*x*(-8 - E - E^4 + x))/5) + x","A",1
4379,1,23,26,0.023289,"\int \frac{-2 x-2 e^4 x+\left(2 x+2 e^4 x\right) \log (x)+9 \log ^3(x)}{\log ^3(x)} \, dx","Integrate[(-2*x - 2*E^4*x + (2*x + 2*E^4*x)*Log[x] + 9*Log[x]^3)/Log[x]^3,x]","\frac{e^4 x^2}{\log ^2(x)}+\frac{x^2}{\log ^2(x)}+9 x","\frac{\left(1+e^4\right) x^2}{\log ^2(x)}-\left(\frac{e^3}{x}-9\right) x",1,"9*x + x^2/Log[x]^2 + (E^4*x^2)/Log[x]^2","A",1
4380,1,42,26,0.1726621,"\int \frac{\exp \left(2 \exp \left(-x^5+2 x^4 \log \left(\frac{45+x \log (5)}{x}\right)-x^3 \log ^2\left(\frac{45+x \log (5)}{x}\right)\right)-x^5+2 x^4 \log \left(\frac{45+x \log (5)}{x}\right)-x^3 \log ^2\left(\frac{45+x \log (5)}{x}\right)\right) \left(-180 x^3-450 x^4-10 x^5 \log (5)+\left(180 x^2+720 x^3+16 x^4 \log (5)\right) \log \left(\frac{45+x \log (5)}{x}\right)+\left(-270 x^2-6 x^3 \log (5)\right) \log ^2\left(\frac{45+x \log (5)}{x}\right)\right)}{45+x \log (5)} \, dx","Integrate[(E^(2*E^(-x^5 + 2*x^4*Log[(45 + x*Log[5])/x] - x^3*Log[(45 + x*Log[5])/x]^2) - x^5 + 2*x^4*Log[(45 + x*Log[5])/x] - x^3*Log[(45 + x*Log[5])/x]^2)*(-180*x^3 - 450*x^4 - 10*x^5*Log[5] + (180*x^2 + 720*x^3 + 16*x^4*Log[5])*Log[(45 + x*Log[5])/x] + (-270*x^2 - 6*x^3*Log[5])*Log[(45 + x*Log[5])/x]^2))/(45 + x*Log[5]),x]","\exp \left(2 e^{-x^5-x^3 \log ^2\left(\frac{45}{x}+\log (5)\right)} \left(\frac{45}{x}+\log (5)\right)^{2 x^4}\right)","e^{2 e^{-x^3 \left(\log \left(\frac{45}{x}+\log (5)\right)-x\right)^2}}",1,"E^(2*E^(-x^5 - x^3*Log[45/x + Log[5]]^2)*(45/x + Log[5])^(2*x^4))","A",1
4381,1,28,23,0.0062242,"\int \frac{-9-3 e+3 \log \left(36 x^2-12 x^2 \log (3)+x^2 \log ^2(3)\right)}{x^2} \, dx","Integrate[(-9 - 3*E + 3*Log[36*x^2 - 12*x^2*Log[3] + x^2*Log[3]^2])/x^2,x]","-\frac{3 \log \left(x^2 (\log (3)-6)^2\right)}{x}+\frac{3 e}{x}+\frac{3}{x}","\frac{3 \left(-\log \left(x^2 (6-\log (3))^2\right)+e+1\right)}{x}",1,"3/x + (3*E)/x - (3*Log[x^2*(-6 + Log[3])^2])/x","A",1
4382,1,43,28,0.0046448,"\int \frac{1}{25} \left(340-2724 x-2580 x^2+7396 x^3+e^{10} (-100+860 x)\right) \, dx","Integrate[(340 - 2724*x - 2580*x^2 + 7396*x^3 + E^10*(-100 + 860*x))/25,x]","\frac{4}{25} \left(\frac{1849 x^4}{4}-215 x^3+\frac{215 e^{10} x^2}{2}-\frac{681 x^2}{2}-25 e^{10} x+85 x\right)","\left(-9 x^2+\frac{1}{5} \left(2 x^2-3\right)+2 x-e^{10}+4\right)^2",1,"(4*(85*x - 25*E^10*x - (681*x^2)/2 + (215*E^10*x^2)/2 - 215*x^3 + (1849*x^4)/4))/25","A",1
4383,1,24,24,0.1666668,"\int \frac{10+10 e^{4 x/5}+e^{3 x/5} (40-40 x)-40 x+60 x^2-40 x^3+10 x^4+e^{2 x/5} \left(60-120 x+60 x^2\right)+e^{x/5} \left(40-120 x+120 x^2-40 x^3\right)+\left(10+60 x^2-80 x^3+30 x^4+e^{4 x/5} (-10+8 x)+e^{3 x/5} \left(-40+24 x-24 x^2\right)+e^{2 x/5} \left(-60+24 x+12 x^2+24 x^3\right)+e^{x/5} \left(-40+8 x+96 x^2-56 x^3-8 x^4\right)\right) \log (x)-10 \log ^2(x)}{5 x^2} \, dx","Integrate[(10 + 10*E^((4*x)/5) + E^((3*x)/5)*(40 - 40*x) - 40*x + 60*x^2 - 40*x^3 + 10*x^4 + E^((2*x)/5)*(60 - 120*x + 60*x^2) + E^(x/5)*(40 - 120*x + 120*x^2 - 40*x^3) + (10 + 60*x^2 - 80*x^3 + 30*x^4 + E^((4*x)/5)*(-10 + 8*x) + E^((3*x)/5)*(-40 + 24*x - 24*x^2) + E^((2*x)/5)*(-60 + 24*x + 12*x^2 + 24*x^3) + E^(x/5)*(-40 + 8*x + 96*x^2 - 56*x^3 - 8*x^4))*Log[x] - 10*Log[x]^2)/(5*x^2),x]","\frac{2 \log (x) \left(\left(-x+e^{x/5}+1\right)^4+\log (x)\right)}{x}","\frac{2 \log (x) \left(\left(x-e^{x/5}-1\right)^4+\log (x)\right)}{x}",1,"(2*Log[x]*((1 + E^(x/5) - x)^4 + Log[x]))/x","A",1
4384,1,71,20,0.0774015,"\int \frac{-12-34 x+12 x^2+e (-1+8 x)+\left(-16-x+4 x^2\right) \log \left(-64-4 x+16 x^2\right)}{-16-x+4 x^2} \, dx","Integrate[(-12 - 34*x + 12*x^2 + E*(-1 + 8*x) + (-16 - x + 4*x^2)*Log[-64 - 4*x + 16*x^2])/(-16 - x + 4*x^2),x]","x \log \left(16 x^2-4 x-64\right)+x+e \log \left(-8 x-\sqrt{257}+1\right)-4 \log \left(-8 x-\sqrt{257}+1\right)+e \log \left(-8 x+\sqrt{257}+1\right)-4 \log \left(-8 x+\sqrt{257}+1\right)","(x+e-4) \log \left(4 \left(4 x^2-x-16\right)\right)+x",1,"x - 4*Log[1 - Sqrt[257] - 8*x] + E*Log[1 - Sqrt[257] - 8*x] - 4*Log[1 + Sqrt[257] - 8*x] + E*Log[1 + Sqrt[257] - 8*x] + x*Log[-64 - 4*x + 16*x^2]","B",1
4385,1,22,24,0.0431123,"\int \left(5+e^{e^{2 e^{5-x}}+x} \left(1-2 e^{5+2 e^{5-x}-x}\right)+2 x\right) \, dx","Integrate[5 + E^(E^(2*E^(5 - x)) + x)*(1 - 2*E^(5 + 2*E^(5 - x) - x)) + 2*x,x]","x^2+5 x+e^{x+e^{2 e^{5-x}}}","x (x+5)+e^{x+e^{2 e^{5-x}}}-\frac{7}{3}",1,"E^(E^(2*E^(5 - x)) + x) + 5*x + x^2","A",1
4386,1,66,34,0.1898135,"\int \frac{\exp \left(-2+\frac{e^{4 x}+4 e^{3 x} x^2-9 e^2 x^3+6 e^{2 x} x^4+4 e^x x^6+x^8}{9 e^2 x^2}\right) \left(18 x^8+6 x^9+e^{4 x} \left(-6+10 x+4 x^2\right)+e^2 \left(-36 x^3-9 x^4\right)+e^{3 x} \left(36 x^3+12 x^4\right)+e^{2 x} \left(36 x^4+48 x^5+12 x^6\right)+e^x \left(48 x^6+28 x^7+4 x^8\right)\right)}{243 x^3+162 x^4+27 x^5} \, dx","Integrate[(E^(-2 + (E^(4*x) + 4*E^(3*x)*x^2 - 9*E^2*x^3 + 6*E^(2*x)*x^4 + 4*E^x*x^6 + x^8)/(9*E^2*x^2))*(18*x^8 + 6*x^9 + E^(4*x)*(-6 + 10*x + 4*x^2) + E^2*(-36*x^3 - 9*x^4) + E^(3*x)*(36*x^3 + 12*x^4) + E^(2*x)*(36*x^4 + 48*x^5 + 12*x^6) + E^x*(48*x^6 + 28*x^7 + 4*x^8)))/(243*x^3 + 162*x^4 + 27*x^5),x]","\frac{\exp \left(\frac{x^8+4 e^x x^6+6 e^{2 x} x^4-9 e^2 x^3+4 e^{3 x} x^2+e^{4 x}}{9 e^2 x^2}\right)}{3 (x+3)}","\frac{e^{\frac{\left(x^2+e^x\right)^4}{9 e^2 x^2}-x}}{3 (x+3)}",1,"E^((E^(4*x) + 4*E^(3*x)*x^2 - 9*E^2*x^3 + 6*E^(2*x)*x^4 + 4*E^x*x^6 + x^8)/(9*E^2*x^2))/(3*(3 + x))","A",1
4387,1,29,25,0.0301384,"\int \frac{160-224 x+104 x^2-16 x^3+\left(-4-4 x+x^2\right) \log (4)}{448-288 x-80 x^2+72 x^3-8 x^4+\left(-4 x+x^3\right) \log (4)} \, dx","Integrate[(160 - 224*x + 104*x^2 - 16*x^3 + (-4 - 4*x + x^2)*Log[4])/(448 - 288*x - 80*x^2 + 72*x^3 - 8*x^4 + (-4*x + x^3)*Log[4]),x]","\log \left(8 x^2-72 x-x \log (4)+112\right)-\log (2-x)+\log (x+2)","\log \left((x+2) \left(-2 (7-x)-\frac{x \log (4)}{4 (x-2)}\right)\right)",1,"-Log[2 - x] + Log[2 + x] + Log[112 - 72*x + 8*x^2 - x*Log[4]]","A",1
4388,1,30,28,0.0333599,"\int \frac{-3+9 x-2 x^2+(9-2 x) \log (2)}{3 x+3 \log (2)} \, dx","Integrate[(-3 + 9*x - 2*x^2 + (9 - 2*x)*Log[2])/(3*x + 3*Log[2]),x]","\frac{1}{27} \left(-9 x^2+81 x-27 \log \left(\frac{1}{8} (3 x+\log (8))\right)+\log ^2(8)\right)","\frac{1}{3} \left(\log \left(2 e^2\right)-x^2\right)+3 x-\log (x+\log (2))-3",1,"(81*x - 9*x^2 + Log[8]^2 - 27*Log[(3*x + Log[8])/8])/27","A",1
4389,1,79,26,0.6536528,"\int \frac{-5 x-x^2-6 x^3+10 x^4-4 x^5+(-10+2 x) \log (2 x)+\left(-2 x-12 x^2+20 x^3-8 x^4\right) \log ^2(2 x)+\left(-6 x+10 x^2-4 x^3\right) \log ^4(2 x)+\left(-x^2-3 x^3-x^5+\left(-x-6 x^2-2 x^4\right) \log ^2(2 x)+\left(-3 x-x^3\right) \log ^4(2 x)\right) \log \left(\frac{1+3 x+x^3+\left(3+x^2\right) \log ^2(2 x)}{x+\log ^2(2 x)}\right)}{x^2+3 x^3+x^5+\left(x+6 x^2+2 x^4\right) \log ^2(2 x)+\left(3 x+x^3\right) \log ^4(2 x)} \, dx","Integrate[(-5*x - x^2 - 6*x^3 + 10*x^4 - 4*x^5 + (-10 + 2*x)*Log[2*x] + (-2*x - 12*x^2 + 20*x^3 - 8*x^4)*Log[2*x]^2 + (-6*x + 10*x^2 - 4*x^3)*Log[2*x]^4 + (-x^2 - 3*x^3 - x^5 + (-x - 6*x^2 - 2*x^4)*Log[2*x]^2 + (-3*x - x^3)*Log[2*x]^4)*Log[(1 + 3*x + x^3 + (3 + x^2)*Log[2*x]^2)/(x + Log[2*x]^2)])/(x^2 + 3*x^3 + x^5 + (x + 6*x^2 + 2*x^4)*Log[2*x]^2 + (3*x + x^3)*Log[2*x]^4),x]","x \left(-\log \left(\frac{x^3+\left(x^2+3\right) \log ^2(2 x)+3 x+1}{x+\log ^2(2 x)}\right)\right)+5 \log \left(x^3+x^2 \log ^2(2 x)+3 x+3 \log ^2(2 x)+1\right)-2 x-5 \log \left(x+\log ^2(2 x)\right)","(5-x) \left(\log \left(x^2+\frac{1}{x+\log ^2(2 x)}+3\right)+2\right)+2",1,"-2*x - 5*Log[x + Log[2*x]^2] + 5*Log[1 + 3*x + x^3 + 3*Log[2*x]^2 + x^2*Log[2*x]^2] - x*Log[(1 + 3*x + x^3 + (3 + x^2)*Log[2*x]^2)/(x + Log[2*x]^2)]","B",1
4390,1,8,8,0.0003389,"\int \frac{e^{98}}{x^2} \, dx","Integrate[E^98/x^2,x]","-\frac{e^{98}}{x}","-\frac{e^{98}}{x}",1,"-(E^98/x)","A",1
4391,1,36,29,0.0774482,"\int \frac{-180-72 x+9 x^2+e^2 \left(120+48 x-6 x^2\right)+e^4 \left(-20-8 x+x^2\right)+e^{-8+2 x} \left(-20-8 x+x^2\right)+e^{-4+x} \left(120+48 x-131 x^2-50 x^3-5 x^4+e^2 \left(-40-16 x+2 x^2\right)\right)}{225 x^2+90 x^3+9 x^4+e^2 \left(-150 x^2-60 x^3-6 x^4\right)+e^4 \left(25 x^2+10 x^3+x^4\right)+e^{-8+2 x} \left(25 x^2+10 x^3+x^4\right)+e^{-4+x} \left(-150 x^2-60 x^3-6 x^4+e^2 \left(50 x^2+20 x^3+2 x^4\right)\right)} \, dx","Integrate[(-180 - 72*x + 9*x^2 + E^2*(120 + 48*x - 6*x^2) + E^4*(-20 - 8*x + x^2) + E^(-8 + 2*x)*(-20 - 8*x + x^2) + E^(-4 + x)*(120 + 48*x - 131*x^2 - 50*x^3 - 5*x^4 + E^2*(-40 - 16*x + 2*x^2)))/(225*x^2 + 90*x^3 + 9*x^4 + E^2*(-150*x^2 - 60*x^3 - 6*x^4) + E^4*(25*x^2 + 10*x^3 + x^4) + E^(-8 + 2*x)*(25*x^2 + 10*x^3 + x^4) + E^(-4 + x)*(-150*x^2 - 60*x^3 - 6*x^4 + E^2*(50*x^2 + 20*x^3 + 2*x^4))),x]","\frac{4}{5 x}-\frac{9}{5 (x+5)}+\frac{5 e^4}{e^x-3 e^4+e^6}","-\frac{x-4}{x (x+5)}+\frac{5}{e^{x-4}-3+e^2}+1",1,"(5*E^4)/(-3*E^4 + E^6 + E^x) + 4/(5*x) - 9/(5*(5 + x))","A",1
4392,1,31,30,0.0656699,"\int \frac{x^3-10 e^{\frac{2}{e^3}-5 x^2} x^4+e^x \left(-6-x+4 x^2\right)}{x^3} \, dx","Integrate[(x^3 - 10*E^(2/E^3 - 5*x^2)*x^4 + E^x*(-6 - x + 4*x^2))/x^3,x]","e^{\frac{2}{e^3}-5 x^2}+\frac{3 e^x}{x^2}+x+\frac{4 e^x}{x}","e^{\frac{2}{e^3}-5 x^2}+\frac{e^x \left(\frac{3}{x}+4\right)}{x}+x-3",1,"E^(2/E^3 - 5*x^2) + (3*E^x)/x^2 + (4*E^x)/x + x","A",1
4393,1,28,21,0.0118417,"\int \frac{4 x+4 x^2+e^{5+e} \left(4 x+4 x^2\right)}{1+4 x+12 x^2+16 x^3+16 x^4} \, dx","Integrate[(4*x + 4*x^2 + E^(5 + E)*(4*x + 4*x^2))/(1 + 4*x + 12*x^2 + 16*x^3 + 16*x^4),x]","\frac{\left(1+e^{5+e}\right) (-2 x-1)}{2 \left(4 x^2+2 x+1\right)}","\frac{2 \left(1+e^{5+e}\right)}{\frac{1}{x^2}+\frac{2}{x}+4}",1,"((1 + E^(5 + E))*(-1 - 2*x))/(2*(1 + 2*x + 4*x^2))","A",1
4394,1,20,22,0.1124552,"\int \frac{1-2 e^7+\left(7-6 e^7\right) \log (x)+6 \log ^2(x)}{\left(x-2 e^7 x\right) \log (x)+2 x \log ^2(x)} \, dx","Integrate[(1 - 2*E^7 + (7 - 6*E^7)*Log[x] + 6*Log[x]^2)/((x - 2*E^7*x)*Log[x] + 2*x*Log[x]^2),x]","3 \log (x)+\log (\log (x))+\log \left(2 \log (x)-2 e^7+1\right)","\log \left(3 x^3 \log (x) \left(2 \left(\log (x)-e^7\right)+1\right)\right)+2",1,"3*Log[x] + Log[Log[x]] + Log[1 - 2*E^7 + 2*Log[x]]","A",1
4395,1,32,28,0.2092833,"\int \frac{-480-84 x+21 x^2+3 x^3+e^{25+10 x+x^2} \left(-160-28 x+7 x^2+x^3\right) \log (5-x)+\left(60 x-12 x^2+e^{25+10 x+x^2} \left(32 x+12 x^2+x^3\right)+e^{25+10 x+x^2} \left(-1580 x-604 x^2+14 x^3+24 x^4+2 x^5\right) \log (5-x)\right) \log (x)}{\left(-480 x-84 x^2+21 x^3+3 x^4+e^{25+10 x+x^2} \left(-160 x-28 x^2+7 x^3+x^4\right) \log (5-x)\right) \log (x)} \, dx","Integrate[(-480 - 84*x + 21*x^2 + 3*x^3 + E^(25 + 10*x + x^2)*(-160 - 28*x + 7*x^2 + x^3)*Log[5 - x] + (60*x - 12*x^2 + E^(25 + 10*x + x^2)*(32*x + 12*x^2 + x^3) + E^(25 + 10*x + x^2)*(-1580*x - 604*x^2 + 14*x^3 + 24*x^4 + 2*x^5)*Log[5 - x])*Log[x])/((-480*x - 84*x^2 + 21*x^3 + 3*x^4 + E^(25 + 10*x + x^2)*(-160*x - 28*x^2 + 7*x^3 + x^4)*Log[5 - x])*Log[x]),x]","-\log (x+4)+\log (x+8)+\log \left(e^{(x+5)^2} \log (5-x)+3\right)+\log (\log (x))-25","\log \left(\frac{(x+8) \left(e^{(x+5)^2} \log (5-x)+3\right) \log (x)}{x+4}\right)",1,"-25 - Log[4 + x] + Log[8 + x] + Log[3 + E^(5 + x)^2*Log[5 - x]] + Log[Log[x]]","A",1
4396,1,33,28,0.1724319,"\int \frac{\exp \left(\frac{-3 x+x^2+e^{2 x} \left(-5 x-2 x^2\right)+e^{2 x} \log \left(-3 x+x^2\right)}{x}\right) \left(-3 x^2+x^3+e^{2 x} \left(-3+2 x+36 x^2-4 x^4\right)+e^{2 x} \left(3-7 x+2 x^2\right) \log \left(-3 x+x^2\right)\right)}{-3 x^2+x^3} \, dx","Integrate[(E^((-3*x + x^2 + E^(2*x)*(-5*x - 2*x^2) + E^(2*x)*Log[-3*x + x^2])/x)*(-3*x^2 + x^3 + E^(2*x)*(-3 + 2*x + 36*x^2 - 4*x^4) + E^(2*x)*(3 - 7*x + 2*x^2)*Log[-3*x + x^2]))/(-3*x^2 + x^3),x]","e^{x-e^{2 x} (2 x+5)-3} ((x-3) x)^{\frac{e^{2 x}}{x}}","e^{x-e^{2 x} \left(2 x-\frac{\log ((x-3) x)}{x}+5\right)-3}",1,"E^(-3 + x - E^(2*x)*(5 + 2*x))*((-3 + x)*x)^(E^(2*x)/x)","A",1
4397,1,21,14,0.0031221,"\int \frac{-2916-3240 e^4 x^2}{e^8 x^5} \, dx","Integrate[(-2916 - 3240*E^4*x^2)/(E^8*x^5),x]","-\frac{324 \left(-\frac{9}{4 x^4}-\frac{5 e^4}{x^2}\right)}{e^8}","9 \left(\frac{9}{e^4 x^2}+10\right)^2",1,"(-324*(-9/(4*x^4) - (5*E^4)/x^2))/E^8","A",1
4398,1,64,27,0.0567618,"\int \frac{-180000+640 x+191250 x^2-680 x^3+\left(-144000 x-71488 x^2-152744 x^3+544 x^4\right) \log \left(\frac{16+8 x+17 x^2}{16 x}\right)+\left(-800+850 x^2+\left(-640 x-320 x^2-680 x^3\right) \log \left(\frac{16+8 x+17 x^2}{16 x}\right)\right) \log \left(\log \left(\frac{16+8 x+17 x^2}{16 x}\right)\right)}{\left(16 x+8 x^2+17 x^3\right) \log \left(\frac{16+8 x+17 x^2}{16 x}\right)} \, dx","Integrate[(-180000 + 640*x + 191250*x^2 - 680*x^3 + (-144000*x - 71488*x^2 - 152744*x^3 + 544*x^4)*Log[(16 + 8*x + 17*x^2)/(16*x)] + (-800 + 850*x^2 + (-640*x - 320*x^2 - 680*x^3)*Log[(16 + 8*x + 17*x^2)/(16*x)])*Log[Log[(16 + 8*x + 17*x^2)/(16*x)]])/((16*x + 8*x^2 + 17*x^3)*Log[(16 + 8*x + 17*x^2)/(16*x)]),x]","2 \left(8 x^2-4500 x+\frac{25}{2} \log ^2\left(\log \left(\frac{17 x}{16}+\frac{1}{x}+\frac{1}{2}\right)\right)-20 x \log \left(\log \left(\frac{17 x}{16}+\frac{1}{x}+\frac{1}{2}\right)\right)+5625 \log \left(\log \left(\frac{17 x}{16}+\frac{1}{x}+\frac{1}{2}\right)\right)\right)","\left(x-5 \left(x-\log \left(\log \left(\frac{(x+4)^2}{16 x}+x\right)\right)-225\right)\right)^2",1,"2*(-4500*x + 8*x^2 + 5625*Log[Log[1/2 + x^(-1) + (17*x)/16]] - 20*x*Log[Log[1/2 + x^(-1) + (17*x)/16]] + (25*Log[Log[1/2 + x^(-1) + (17*x)/16]]^2)/2)","B",1
4399,1,21,25,0.0178881,"\int \frac{-2+x-\log \left(\frac{5}{2}\right)+e^x \left(2-x+\log \left(\frac{5}{2}\right)\right)-4 \log \left(2-x+\log \left(\frac{5}{2}\right)\right)}{2-x+\log \left(\frac{5}{2}\right)} \, dx","Integrate[(-2 + x - Log[5/2] + E^x*(2 - x + Log[5/2]) - 4*Log[2 - x + Log[5/2]])/(2 - x + Log[5/2]),x]","e^x-x+2 \log ^2\left(-x+2+\log \left(\frac{5}{2}\right)\right)","-x+e^x+2 \left(\log ^2\left(-x+2+\log \left(\frac{5}{2}\right)\right)+e^3\right)",1,"E^x - x + 2*Log[2 - x + Log[5/2]]^2","A",1
4400,1,29,27,0.0244378,"\int \frac{-100-10 x^3+x^5+2 x^6-400 e^{50 x^2} x^6}{x^5 \log (3)} \, dx","Integrate[(-100 - 10*x^3 + x^5 + 2*x^6 - 400*E^(50*x^2)*x^6)/(x^5*Log[3]),x]","\frac{\frac{25}{x^4}+x^2-4 e^{50 x^2}+x+\frac{10}{x}}{\log (3)}","\frac{\left(-\frac{5}{x^2}-x\right)^2-4 e^{50 x^2}+x}{\log (3)}",1,"(-4*E^(50*x^2) + 25/x^4 + 10/x + x + x^2)/Log[3]","A",1
4401,1,39,22,0.2609178,"\int x^{-2 x} \left(-225-50 x+x^{2 x} \left(75-e^x+30 x+3 x^2\right)+(-250-50 x) \log (x)+x^x \left(-150-80 x-10 x^2+\left(-250-100 x-10 x^2\right) \log (x)\right)\right) \, dx","Integrate[(-225 - 50*x + x^(2*x)*(75 - E^x + 30*x + 3*x^2) + (-250 - 50*x)*Log[x] + x^x*(-150 - 80*x - 10*x^2 + (-250 - 100*x - 10*x^2)*Log[x]))/x^(2*x),x]","25 (x+5) x^{-2 x}+10 (x+5)^2 x^{-x}+x^3+15 x^2+75 x-e^x","(x+5) \left(5 x^{-x}+x+5\right)^2-e^x",1,"-E^x + 75*x + 15*x^2 + x^3 + (25*(5 + x))/x^(2*x) + (10*(5 + x)^2)/x^x","A",1
4402,1,47,33,0.234207,"\int \frac{e^{2 e^4} \left(36-24 e^{2 x}+4 e^{4 x}\right)+36 x^2+3 x^3+\left(72 x+6 x^2\right) \log (3)+36 \log ^2(3)+e^{2 x} \left(-24 x^2-x^3+2 x^4+\left(-48 x-2 x^2+2 x^3\right) \log (3)-24 \log ^2(3)\right)+e^{4 x} \left(4 x^2+8 x \log (3)+4 \log ^2(3)\right)+e^{e^4} \left(-72 x-6 x^2+e^{4 x} (-8 x-8 \log (3))-72 \log (3)+e^{2 x} \left(48 x+2 x^2-2 x^3+48 \log (3)\right)\right)}{9 x^3+e^{2 e^4} \left(9 x-6 e^{2 x} x+e^{4 x} x\right)+18 x^2 \log (3)+9 x \log ^2(3)+e^{2 x} \left(-6 x^3-12 x^2 \log (3)-6 x \log ^2(3)\right)+e^{4 x} \left(x^3+2 x^2 \log (3)+x \log ^2(3)\right)+e^{e^4} \left(-18 x^2-18 x \log (3)+e^{4 x} \left(-2 x^2-2 x \log (3)\right)+e^{2 x} \left(12 x^2+12 x \log (3)\right)\right)} \, dx","Integrate[(E^(2*E^4)*(36 - 24*E^(2*x) + 4*E^(4*x)) + 36*x^2 + 3*x^3 + (72*x + 6*x^2)*Log[3] + 36*Log[3]^2 + E^(2*x)*(-24*x^2 - x^3 + 2*x^4 + (-48*x - 2*x^2 + 2*x^3)*Log[3] - 24*Log[3]^2) + E^(4*x)*(4*x^2 + 8*x*Log[3] + 4*Log[3]^2) + E^E^4*(-72*x - 6*x^2 + E^(4*x)*(-8*x - 8*Log[3]) - 72*Log[3] + E^(2*x)*(48*x + 2*x^2 - 2*x^3 + 48*Log[3])))/(9*x^3 + E^(2*E^4)*(9*x - 6*E^(2*x)*x + E^(4*x)*x) + 18*x^2*Log[3] + 9*x*Log[3]^2 + E^(2*x)*(-6*x^3 - 12*x^2*Log[3] - 6*x*Log[3]^2) + E^(4*x)*(x^3 + 2*x^2*Log[3] + x*Log[3]^2) + E^E^4*(-18*x^2 - 18*x*Log[3] + E^(4*x)*(-2*x^2 - 2*x*Log[3]) + E^(2*x)*(12*x^2 + 12*x*Log[3]))),x]","4 \log (x)-\frac{x^2 \left(2 x-2 e^{e^4}+\log (9)\right)}{2 \left(e^{2 x}-3\right) \left(x-e^{e^4}+\log (3)\right)^2}","\frac{x^2}{\left(3-e^{2 x}\right) \left(x-e^{e^4}+\log (3)\right)}+4 \log (x)",1,"-1/2*(x^2*(-2*E^E^4 + 2*x + Log[9]))/((-3 + E^(2*x))*(-E^E^4 + x + Log[3])^2) + 4*Log[x]","A",1
4403,1,27,28,0.1066876,"\int \frac{-50 x+e^{\frac{9+12 x+4 x^2}{x^2}} \left(-360-240 x+e^5 (72+48 x)\right)}{x^3} \, dx","Integrate[(-50*x + E^((9 + 12*x + 4*x^2)/x^2)*(-360 - 240*x + E^5*(72 + 48*x)))/x^3,x]","\frac{50}{x}-4 \left(e^5-5\right) e^{\frac{9}{x^2}+\frac{12}{x}+4}","4 \left(5-e^5\right) e^{\frac{(2 x+3)^2}{x^2}}+\frac{50}{x}",1,"-4*E^(4 + 9/x^2 + 12/x)*(-5 + E^5) + 50/x","A",1
4404,1,23,24,0.0320048,"\int \frac{-4 x+6 x^2-2 x^3+e^{x^2} (-2+x) \left(-1+5 x-6 x^2+2 x^3\right)+\left(-4 x+2 x^2\right) \log (-1+x)+\left(2-3 x+x^2\right) \log ^2(-1+x)}{2-3 x+x^2} \, dx","Integrate[(-4*x + 6*x^2 - 2*x^3 + E^x^2*(-2 + x)*(-1 + 5*x - 6*x^2 + 2*x^3) + (-4*x + 2*x^2)*Log[-1 + x] + (2 - 3*x + x^2)*Log[-1 + x]^2)/(2 - 3*x + x^2),x]","-x^2+e^{x^2} (x-2)+x \log ^2(x-1)","-x^2+e^{x^2} (x-2)+x \log ^2(x-1)+3",1,"E^x^2*(-2 + x) - x^2 + x*Log[-1 + x]^2","A",1
4405,1,29,30,0.0659308,"\int \frac{-32+16 x+30 x^2-16 x^3+2 x^4+(64-16 x) \log \left(x^2\right)+(-16+8 x) \log ^2\left(x^2\right)}{16 x^2-8 x^3+x^4} \, dx","Integrate[(-32 + 16*x + 30*x^2 - 16*x^3 + 2*x^4 + (64 - 16*x)*Log[x^2] + (-16 + 8*x)*Log[x^2]^2)/(16*x^2 - 8*x^3 + x^4),x]","\frac{2 \left(x^3-4 x^2-2 \log ^2\left(x^2\right)+x-4\right)}{(x-4) x}","2 x+\frac{\frac{4 \log ^2((x-1) x+x)}{4-x}+2}{x}-6",1,"(2*(-4 + x - 4*x^2 + x^3 - 2*Log[x^2]^2))/((-4 + x)*x)","A",1
4406,1,12,19,0.0053842,"\int \frac{3-2 e^{x/3} x}{3 x} \, dx","Integrate[(3 - 2*E^(x/3)*x)/(3*x),x]","\log (x)-2 e^{x/3}","\log \left(\left(\frac{5}{86}+e\right) e^{-2 e^{x/3}} x\right)",1,"-2*E^(x/3) + Log[x]","A",1
4407,0,0,21,0.8318101,"\int \exp \left(-x+2 e^{-x} \left(-x+e^x \left(x+781250 x^2 \log (4)\right)\right)\right) \left(-2+2 x+e^x (2+3125000 x \log (4))\right) \, dx","Integrate[E^(-x + (2*(-x + E^x*(x + 781250*x^2*Log[4])))/E^x)*(-2 + 2*x + E^x*(2 + 3125000*x*Log[4])),x]","\int \exp \left(-x+2 e^{-x} \left(-x+e^x \left(x+781250 x^2 \log (4)\right)\right)\right) \left(-2+2 x+e^x (2+3125000 x \log (4))\right) \, dx","e^{1562500 x^2 \log (4)-2 e^{-x} x+2 x}",1,"Integrate[E^(-x + (2*(-x + E^x*(x + 781250*x^2*Log[4])))/E^x)*(-2 + 2*x + E^x*(2 + 3125000*x*Log[4])), x]","F",-1
4408,1,23,23,0.340987,"\int \frac{\left(\frac{x}{\log \left(\frac{3}{4} \log \left(\frac{x}{2}\right)\right)}\right)^{\frac{1}{-1+e^2}} \left(-1+\log \left(\frac{x}{2}\right) \log \left(\frac{3}{4} \log \left(\frac{x}{2}\right)\right)\right)}{\left(-x+e^2 x\right) \log \left(\frac{x}{2}\right) \log \left(\frac{3}{4} \log \left(\frac{x}{2}\right)\right)} \, dx","Integrate[((x/Log[(3*Log[x/2])/4])^(-1 + E^2)^(-1)*(-1 + Log[x/2]*Log[(3*Log[x/2])/4]))/((-x + E^2*x)*Log[x/2]*Log[(3*Log[x/2])/4]),x]","\left(\frac{x}{\log \left(\frac{3}{4} \log \left(\frac{x}{2}\right)\right)}\right)^{\frac{1}{e^2-1}}","\left(\frac{x}{\log \left(\frac{3}{4} \log \left(\frac{x}{2}\right)\right)}\right)^{\frac{1}{e^2-1}}",1,"(x/Log[(3*Log[x/2])/4])^(-1 + E^2)^(-1)","A",1
4409,1,21,19,0.5818251,"\int \exp \left(-320-340 x-20 x^2+e^{1+x} \left(80 x+85 x^2+5 x^3\right)\right) \left(-340-40 x+e^{1+x} \left(80+250 x+100 x^2+5 x^3\right)\right) \, dx","Integrate[E^(-320 - 340*x - 20*x^2 + E^(1 + x)*(80*x + 85*x^2 + 5*x^3))*(-340 - 40*x + E^(1 + x)*(80 + 250*x + 100*x^2 + 5*x^3)),x]","e^{5 \left(e^{x+1} x-4\right) \left(x^2+17 x+16\right)}","e^{5 (x+1) (x+16) \left(e^{x+1} x-4\right)}",1,"E^(5*(-4 + E^(1 + x)*x)*(16 + 17*x + x^2))","A",1
4410,1,21,25,0.230143,"\int \frac{3-x^2+\left(-2 x^2+e^x (2+2 x)\right) \log (x)+\left(e^x (1+x)+e^x \left(2 x+x^2\right) \log (x)\right) \log \left(x^2\right)}{x} \, dx","Integrate[(3 - x^2 + (-2*x^2 + E^x*(2 + 2*x))*Log[x] + (E^x*(1 + x) + E^x*(2*x + x^2)*Log[x])*Log[x^2])/x,x]","-\log (x) \left(x^2-e^x (x+1) \log \left(x^2\right)-3\right)","\log (x) \left(3-x \left(x-\frac{e^x (x+1) \log \left(x^2\right)}{x}\right)\right)",1,"-(Log[x]*(-3 + x^2 - E^x*(1 + x)*Log[x^2]))","A",1
4411,1,70,34,10.9507545,"\int \frac{15+27 x+12 x^2-3 x^3-3 x^4+\left(27 x+24 x^2-9 x^3-12 x^4\right) \log (x)+\left(25 x+40 x^2+16 x^3-10 x^4-8 x^5+x^7\right) \log ^2(x)}{\left(-15 x-27 x^2-12 x^3+3 x^4+3 x^5\right) \log (x)+\left(475 x+1735 x^2+2364 x^3+1234 x^4-222 x^5-512 x^6-141 x^7+39 x^8+20 x^9\right) \log ^2(x)} \, dx","Integrate[(15 + 27*x + 12*x^2 - 3*x^3 - 3*x^4 + (27*x + 24*x^2 - 9*x^3 - 12*x^4)*Log[x] + (25*x + 40*x^2 + 16*x^3 - 10*x^4 - 8*x^5 + x^7)*Log[x]^2)/((-15*x - 27*x^2 - 12*x^3 + 3*x^4 + 3*x^5)*Log[x] + (475*x + 1735*x^2 + 2364*x^3 + 1234*x^4 - 222*x^5 - 512*x^6 - 141*x^7 + 39*x^8 + 20*x^9)*Log[x]^2),x]","-\log \left((20 x+19) \left(-x^3+4 x+5\right)\right)+\log \left(20 x^4 \log (x)+19 x^3 \log (x)-80 x^2 \log (x)-176 x \log (x)-95 \log (x)+3\right)-\log (x+1)+\log (20 x+19)-\log (\log (x))","\log \left(\frac{\frac{3}{x \left(4-x^2\right)+5}+\log (x)}{4 (x+1) \log (x)}-5\right)",1,"-Log[1 + x] + Log[19 + 20*x] - Log[(19 + 20*x)*(5 + 4*x - x^3)] - Log[Log[x]] + Log[3 - 95*Log[x] - 176*x*Log[x] - 80*x^2*Log[x] + 19*x^3*Log[x] + 20*x^4*Log[x]]","B",1
4412,1,25,23,0.031365,"\int \frac{e^{-e^2 x+e^2 \log ^2(x)} \left(-3 e-3 e^3 x+6 e^3 \log (x)\right)}{4 x^2} \, dx","Integrate[(E^(-(E^2*x) + E^2*Log[x]^2)*(-3*E - 3*E^3*x + 6*E^3*Log[x]))/(4*x^2),x]","\frac{3 e^{-e^2 x+e^2 \log ^2(x)+1}}{4 x}","\frac{3 e^{e^2 \left(\log ^2(x)-x\right)+1}}{4 x}",1,"(3*E^(1 - E^2*x + E^2*Log[x]^2))/(4*x)","A",1
4413,1,20,23,0.290387,"\int \frac{4+4 x+(-4-6 x) \log (x)+(-2-2 x) \log (x) \log (1+x)+(-2-2 x) \log (x) \log \left(\frac{x^2}{\log ^2(x)}\right)}{\left(x^3+x^4\right) \log (x) \log ^3(1+x)+\left(3 x^3+3 x^4\right) \log (x) \log ^2(1+x) \log \left(\frac{x^2}{\log ^2(x)}\right)+\left(3 x^3+3 x^4\right) \log (x) \log (1+x) \log ^2\left(\frac{x^2}{\log ^2(x)}\right)+\left(x^3+x^4\right) \log (x) \log ^3\left(\frac{x^2}{\log ^2(x)}\right)} \, dx","Integrate[(4 + 4*x + (-4 - 6*x)*Log[x] + (-2 - 2*x)*Log[x]*Log[1 + x] + (-2 - 2*x)*Log[x]*Log[x^2/Log[x]^2])/((x^3 + x^4)*Log[x]*Log[1 + x]^3 + (3*x^3 + 3*x^4)*Log[x]*Log[1 + x]^2*Log[x^2/Log[x]^2] + (3*x^3 + 3*x^4)*Log[x]*Log[1 + x]*Log[x^2/Log[x]^2]^2 + (x^3 + x^4)*Log[x]*Log[x^2/Log[x]^2]^3),x]","\frac{1}{x^2 \left(\log \left(\frac{x^2}{\log ^2(x)}\right)+\log (x+1)\right)^2}","\frac{1}{\left(x \left(\log \left(\frac{x^2}{\log ^2(x)}\right)+\log (x+1)+1\right)-x\right)^2}",1,"1/(x^2*(Log[1 + x] + Log[x^2/Log[x]^2])^2)","A",1
4414,1,22,30,0.3158143,"\int \frac{3 x-6 x^2+57 x^3-108 x^4+54 x^5+e^{-\frac{2}{-3 x+3 x^2}} (-2+4 x)+e^{-\frac{1}{-3 x+3 x^2}} \left(-6 x+30 x^2-36 x^3+18 x^4\right)}{3 x^2-6 x^3+3 x^4} \, dx","Integrate[(3*x - 6*x^2 + 57*x^3 - 108*x^4 + 54*x^5 + (-2 + 4*x)/E^(2/(-3*x + 3*x^2)) + (-6*x + 30*x^2 - 36*x^3 + 18*x^4)/E^(-3*x + 3*x^2)^(-1))/(3*x^2 - 6*x^3 + 3*x^4),x]","\left(e^{\frac{1}{3 x-3 x^2}}+3 x\right)^2+\log (x)","\left(e^{\frac{x}{3 \left(x^2-x^3\right)}}+3 x\right)^2+\log (2 x)+1",1,"(E^(3*x - 3*x^2)^(-1) + 3*x)^2 + Log[x]","A",1
4415,1,10,10,0.0178869,"\int \left(15-6 x+e^x \left(-5-3 x+x^2\right)\right) \, dx","Integrate[15 - 6*x + E^x*(-5 - 3*x + x^2),x]","\left(e^x-3\right) (x-5) x","\left(e^x-3\right) (x-5) x",1,"(-3 + E^x)*(-5 + x)*x","A",1
4416,1,34,30,0.1592485,"\int \frac{e^{-x} \left(e^x \left(84+132 x-108 x^2-72 x^3\right)+e^{2+e^{e^{2-x}}+e^{2-x}} \left(81-81 x-54 x^2+51 x^3+18 x^4-9 x^5-3 x^6\right)\right)}{-27+27 x+18 x^2-17 x^3-6 x^4+3 x^5+x^6} \, dx","Integrate[(E^x*(84 + 132*x - 108*x^2 - 72*x^3) + E^(2 + E^E^(2 - x) + E^(2 - x))*(81 - 81*x - 54*x^2 + 51*x^3 + 18*x^4 - 9*x^5 - 3*x^6))/(E^x*(-27 + 27*x + 18*x^2 - 17*x^3 - 6*x^4 + 3*x^5 + x^6)),x]","\frac{36}{x^2+x-3}+\frac{12}{\left(x^2+x-3\right)^2}+3 e^{e^{e^{2-x}}}","3 \left(\left(\frac{2}{x^2+x-3}+3\right)^2+e^{e^{e^{2-x}}}\right)+2",1,"3*E^E^E^(2 - x) + 12/(-3 + x + x^2)^2 + 36/(-3 + x + x^2)","A",1
4417,1,15,26,0.0130023,"\int \frac{1}{32} e^{\frac{1}{32} (-16+x+16 \log (3))} \, dx","Integrate[E^((-16 + x + 16*Log[3])/32)/32,x]","\sqrt{3} e^{\frac{x-16}{32}}","e^{\frac{\frac{x^2}{16}-x+x \log (3)}{2 x}}+3",1,"Sqrt[3]*E^((-16 + x)/32)","A",1
4418,1,36,32,0.1236786,"\int \frac{e^{-4+2 x} \left(4-x^2\right)^2 \left(4000-4300 x+200 x^2+350 x^3-50 x^4+\frac{e^{4-2 x} \left(324-81 x^2\right)}{\left(4-x^2\right)^2}\right)}{-324+81 x^2} \, dx","Integrate[(E^(-4 + 2*x)*(4 - x^2)^2*(4000 - 4300*x + 200*x^2 + 350*x^3 - 50*x^4 + (E^(4 - 2*x)*(324 - 81*x^2))/(4 - x^2)^2))/(-324 + 81*x^2),x]","-\frac{25 e^{2 x} \left(x^3-5 x^2-4 x+20\right)^2+81 e^4 x}{81 e^4}","-\frac{25}{81} e^{2 x-4} (5-x)^2 \left(4-x^2\right)^2-x+5",1,"-1/81*(81*E^4*x + 25*E^(2*x)*(20 - 4*x - 5*x^2 + x^3)^2)/E^4","A",1
4419,1,24,14,0.0037405,"\int \frac{3 x+2 x^2+(-18+6 x) \log \left(\frac{1}{x}\right)}{9 x} \, dx","Integrate[(3*x + 2*x^2 + (-18 + 6*x)*Log[x^(-1)])/(9*x),x]","\frac{x^2}{9}+x+\log ^2\left(\frac{1}{x}\right)+\frac{2}{3} x \log \left(\frac{1}{x}\right)","x+\left(\frac{x}{3}+\log \left(\frac{1}{x}\right)\right)^2",1,"x + x^2/9 + (2*x*Log[x^(-1)])/3 + Log[x^(-1)]^2","A",1
4420,1,28,29,0.1752976,"\int \frac{-10-2 x+2 x \log (x)+32 e^{e^{16 x^2}+16 x^2} x^2 \log ^2(x)+\left(-2+6 x+2 x^2\right) \log ^2(x)}{x \log ^2(x)} \, dx","Integrate[(-10 - 2*x + 2*x*Log[x] + 32*E^(E^(16*x^2) + 16*x^2)*x^2*Log[x]^2 + (-2 + 6*x + 2*x^2)*Log[x]^2)/(x*Log[x]^2),x]","e^{e^{16 x^2}}+x (x+6)+\frac{2 (x+5)}{\log (x)}-2 \log (x)","e^{e^{16 x^2}}-\log \left(x^2\right)+x+(x+5) \left(x+\frac{2}{\log (x)}\right)",1,"E^E^(16*x^2) + x*(6 + x) + (2*(5 + x))/Log[x] - 2*Log[x]","A",1
4421,1,33,32,5.0965395,"\int \frac{-1+x-2 x^2+x^3+e^x \left(-2+16 e^2 x^3\right)+\left(1-3 x+x^2+e^x \left(2+32 e^2 x^2\right)\right) \log (x)+16 e^{2+x} x \log ^2(x)}{4 e^{2+x} x^2+8 e^{2+x} x \log (x)+4 e^{2+x} \log ^2(x)} \, dx","Integrate[(-1 + x - 2*x^2 + x^3 + E^x*(-2 + 16*E^2*x^3) + (1 - 3*x + x^2 + E^x*(2 + 32*E^2*x^2))*Log[x] + 16*E^(2 + x)*x*Log[x]^2)/(4*E^(2 + x)*x^2 + 8*E^(2 + x)*x*Log[x] + 4*E^(2 + x)*Log[x]^2),x]","\frac{1}{4} x \left(8 x+\frac{e^{-x-2} \left(-x+2 e^x+1\right)}{x+\log (x)}\right)","x \left(2 x+\frac{e^{-x} (1-x)+2}{4 e^2 (x+\log (x))}\right)",1,"(x*(8*x + (E^(-2 - x)*(1 + 2*E^x - x))/(x + Log[x])))/4","A",1
4422,1,30,34,1.4036376,"\int \frac{2+e^{2+e^{e^{e^x}-x} (-4+x)-x} \left(-16+8 x-x^2+e^{e^{e^x}-x} \left(80-56 x+13 x^2-x^3+e^{e^x+x} \left(-64+48 x-12 x^2+x^3\right)\right)\right)}{16-8 x+x^2} \, dx","Integrate[(2 + E^(2 + E^(E^E^x - x)*(-4 + x) - x)*(-16 + 8*x - x^2 + E^(E^E^x - x)*(80 - 56*x + 13*x^2 - x^3 + E^(E^x + x)*(-64 + 48*x - 12*x^2 + x^3))))/(16 - 8*x + x^2),x]","e^{e^{e^{e^x}-x} (x-4)-x+2}-\frac{2}{x-4}","\frac{2-x}{x-4}+e^{e^{e^{e^x}-x} (x-4)-x+2}",1,"E^(2 + E^(E^E^x - x)*(-4 + x) - x) - 2/(-4 + x)","A",1
4423,1,15,19,0.0000778,"\int \left(-4 x-4 x^3+\log (3)\right) \, dx","Integrate[-4*x - 4*x^3 + Log[3],x]","-x^4-2 x^2+x \log (3)","-\left(x^2+1\right)^2+x \log (3)-e^2",1,"-2*x^2 - x^4 + x*Log[3]","A",1
4424,1,53,19,0.8654183,"\int \frac{1}{25} e^{\frac{1}{25} \left(x^3+x^2 \log (3)-25 x^2 \log (5 x)\right)} \left(-25 x+3 x^2+2 x \log (3)-50 x \log (5 x)\right) \, dx","Integrate[(E^((x^3 + x^2*Log[3] - 25*x^2*Log[5*x])/25)*(-25*x + 3*x^2 + 2*x*Log[3] - 50*x*Log[5*x]))/25,x]","\frac{1}{25} \int e^{\frac{1}{25} \left(x^3-25 x^2 \log (5 x)+x^2 \log (3)\right)} \left(3 x^2-25 x-50 x \log (5 x)+2 x \log (3)\right) \, dx","e^{\frac{1}{25} x^2 (x-25 \log (5 x)+\log (3))}",1,"Integrate[E^((x^3 + x^2*Log[3] - 25*x^2*Log[5*x])/25)*(-25*x + 3*x^2 + 2*x*Log[3] - 50*x*Log[5*x]), x]/25","F",1
4425,1,21,25,0.0051251,"\int \frac{2-4 x+x^2}{x-x^2+\left(-x+x^2\right) \log (4)} \, dx","Integrate[(2 - 4*x + x^2)/(x - x^2 + (-x + x^2)*Log[4]),x]","\frac{x-\log (1-x)-2 \log (x)}{\log (4)-1}","\frac{x-\log \left(8 e^2 x \left(x^2-x\right)\right)}{\log (4)-1}",1,"(x - Log[1 - x] - 2*Log[x])/(-1 + Log[4])","A",1
4426,1,57,21,0.0408605,"\int \left(2-2 e^{32+4 e^2-2 x}+2 x+2 e^{16+2 e^2-x} x\right) \, dx","Integrate[2 - 2*E^(32 + 4*E^2 - 2*x) + 2*x + 2*E^(16 + 2*E^2 - x)*x,x]","2 \left(\frac{x^2}{2}+x+\frac{1}{2} e^{-2 x+4 e^2+32}+e^{-x} \left(-e^{16+2 e^2} x-e^{16+2 e^2}\right)\right)","\left(x-e^{-x+2 e^2+16}+1\right)^2+2",1,"2*(E^(32 + 4*E^2 - 2*x)/2 + x + x^2/2 + (-E^(16 + 2*E^2) - E^(16 + 2*E^2)*x)/E^x)","B",1
4427,1,24,24,0.4781601,"\int \frac{1}{144} \exp \left(\frac{1}{36} \left(17 e^{x/4}-17 x+e^x \left(-9 e^{x/4}+9 x\right)\right)\right) \left(-68+17 e^{x/4}+e^x \left(36-45 e^{x/4}+36 x\right)\right) \, dx","Integrate[(E^((17*E^(x/4) - 17*x + E^x*(-9*E^(x/4) + 9*x))/36)*(-68 + 17*E^(x/4) + E^x*(36 - 45*E^(x/4) + 36*x)))/144,x]","e^{-\frac{1}{36} \left(9 e^x-17\right) \left(e^{x/4}-x\right)}","e^{\frac{1}{4} \left(e^x-\frac{17}{9}\right) \left(x-e^{x/4}\right)}",1,"E^(-1/36*((-17 + 9*E^x)*(E^(x/4) - x)))","A",1
4428,1,44,28,0.3516899,"\int \frac{200+150 x-75 e x-100 x^2+e^{18-12 e^x+2 e^{2 x}} \left(8+6 x-3 e x-4 x^2+e^x \left(48 x+24 x^2-12 e x^2-12 x^3\right)+e^{2 x} \left(-16 x-8 x^2+4 e x^2+4 x^3\right)\right)+e^{9-6 e^x+e^{2 x}} \left(-80-60 x+30 e x+40 x^2+e^{2 x} \left(80 x+40 x^2-20 e x^2-20 x^3\right)+e^x \left(-240 x-120 x^2+60 e x^2+60 x^3\right)\right)}{16 x^3+16 x^4-4 x^5+e^2 x^5-4 x^6+x^7+e \left(-8 x^4-4 x^5+2 x^6\right)} \, dx","Integrate[(200 + 150*x - 75*E*x - 100*x^2 + E^(18 - 12*E^x + 2*E^(2*x))*(8 + 6*x - 3*E*x - 4*x^2 + E^x*(48*x + 24*x^2 - 12*E*x^2 - 12*x^3) + E^(2*x)*(-16*x - 8*x^2 + 4*E*x^2 + 4*x^3)) + E^(9 - 6*E^x + E^(2*x))*(-80 - 60*x + 30*E*x + 40*x^2 + E^(2*x)*(80*x + 40*x^2 - 20*E*x^2 - 20*x^3) + E^x*(-240*x - 120*x^2 + 60*E*x^2 + 60*x^3)))/(16*x^3 + 16*x^4 - 4*x^5 + E^2*x^5 - 4*x^6 + x^7 + E*(-8*x^4 - 4*x^5 + 2*x^6)),x]","\frac{e^{-12 e^x} \left(e^{e^{2 x}+9}-5 e^{6 e^x}\right)^2}{x^2 \left(x^2+(e-2) x-4\right)}","\frac{\left(e^{\left(e^x-3\right)^2}-5\right)^2}{x^3 \left(x-\frac{4}{x}+e-2\right)}",1,"(-5*E^(6*E^x) + E^(9 + E^(2*x)))^2/(E^(12*E^x)*x^2*(-4 + (-2 + E)*x + x^2))","A",1
4429,1,44,23,0.8125467,"\int \frac{30 x+10 x^2+\left(384+544 x+264 x^2+54 x^3+4 x^4\right) \log \left(3 x+x^2\right)}{-60 x-35 x^2-5 x^3+\left(192 x+208 x^2+84 x^3+15 x^4+x^5\right) \log ^2\left(3 x+x^2\right)} \, dx","Integrate[(30*x + 10*x^2 + (384 + 544*x + 264*x^2 + 54*x^3 + 4*x^4)*Log[3*x + x^2])/(-60*x - 35*x^2 - 5*x^3 + (192*x + 208*x^2 + 84*x^3 + 15*x^4 + x^5)*Log[3*x + x^2]^2),x]","\log \left(-x^2 \log ^2(x (x+3))-8 x \log ^2(x (x+3))-16 \log ^2(x (x+3))+5\right)-2 \log (x+4)","\log \left(\frac{5}{(x+4)^2}-\log ^2\left(x^2+3 x\right)\right)+2",1,"-2*Log[4 + x] + Log[5 - 16*Log[x*(3 + x)]^2 - 8*x*Log[x*(3 + x)]^2 - x^2*Log[x*(3 + x)]^2]","A",1
4430,1,23,18,0.0000916,"\int \frac{2 x}{\log ^2\left(7+6 \log (9+\log (5))+\log ^2(9+\log (5))\right)} \, dx","Integrate[(2*x)/Log[7 + 6*Log[9 + Log[5]] + Log[9 + Log[5]]^2]^2,x]","\frac{x^2}{\log ^2\left(7+\log ^2(9+\log (5))+6 \log (9+\log (5))\right)}","\frac{x^2}{\log ^2\left((3+\log (9+\log (5)))^2-2\right)}",1,"x^2/Log[7 + 6*Log[9 + Log[5]] + Log[9 + Log[5]]^2]^2","A",1
4431,1,18,19,0.0170183,"\int \left(-1-2 x+e^x \left(1+3 x+x^2\right)\right) \, dx","Integrate[-1 - 2*x + E^x*(1 + 3*x + x^2),x]","-x^2+e^x \left(x^2+x\right)-x","(-x-1) \left(\left(-e^x-3\right) x+4 x\right)",1,"-x - x^2 + E^x*(x + x^2)","A",1
4432,1,22,27,0.0226293,"\int \frac{-81-54 x^3+5184 e^{e^x+x} x^5+108 x^6+120 x^9+32 x^{12}}{5184 x^5} \, dx","Integrate[(-81 - 54*x^3 + 5184*E^(E^x + x)*x^5 + 108*x^6 + 120*x^9 + 32*x^12)/(5184*x^5),x]","\frac{\left(2 x^3+3\right)^4}{20736 x^4}+e^{e^x}","\frac{\left(\frac{x^3}{3}+\frac{1}{2}\right)^4}{16 x^4}+e^{e^x}-5",1,"E^E^x + (3 + 2*x^3)^4/(20736*x^4)","A",1
4433,1,23,23,0.1894824,"\int \frac{-e^{e^{4-x}}+e^{4+e^{4-x}-x} x \log (x) \log \left(\left(-20+5 e^2+5 \log (5)\right) \log (x)\right)}{x \log (x)} \, dx","Integrate[(-E^E^(4 - x) + E^(4 + E^(4 - x) - x)*x*Log[x]*Log[(-20 + 5*E^2 + 5*Log[5])*Log[x]])/(x*Log[x]),x]","-e^{e^{4-x}} \log \left(5 \left(-4+e^2+\log (5)\right) \log (x)\right)","-e^{e^{4-x}} \log \left(5 \left(-4+e^2+\log (5)\right) \log (x)\right)",1,"-(E^E^(4 - x)*Log[5*(-4 + E^2 + Log[5])*Log[x]])","A",1
4434,1,21,23,0.0073283,"\int \frac{798-479 x+80 x^2-4 x^3}{399 x-80 x^2+4 x^3} \, dx","Integrate[(798 - 479*x + 80*x^2 - 4*x^3)/(399*x - 80*x^2 + 4*x^3),x]","-\log \left(4 x^2-80 x+399\right)-x+2 \log (x)","\log \left(\frac{e^{-x} x^2}{1-(2 x-20)^2}\right)",1,"-x + 2*Log[x] - Log[399 - 80*x + 4*x^2]","A",1
4435,1,37,26,1.5729909,"\int \frac{-75 e^{4 x} x-150 e^{4 x} x \log (x)+\left(6 e^{4 x} x^2+e^{2 x} \left(-18 x-18 x^2\right)\right) \log ^2(x)}{1250 e^{4 x}+\left(300 e^{2 x}-200 e^{4 x} x\right) \log (x)+\left(18-24 e^{2 x} x+8 e^{4 x} x^2\right) \log ^2(x)} \, dx","Integrate[(-75*E^(4*x)*x - 150*E^(4*x)*x*Log[x] + (6*E^(4*x)*x^2 + E^(2*x)*(-18*x - 18*x^2))*Log[x]^2)/(1250*E^(4*x) + (300*E^(2*x) - 200*E^(4*x)*x)*Log[x] + (18 - 24*E^(2*x)*x + 8*E^(4*x)*x^2)*Log[x]^2),x]","\frac{3 e^{2 x} x^2 \log (x)}{2 \left(\left(2 e^{2 x} x-3\right) \log (x)-25 e^{2 x}\right)}","\frac{3 x^2}{2 \left(2 x-3 e^{-2 x}-\frac{25}{\log (x)}\right)}",1,"(3*E^(2*x)*x^2*Log[x])/(2*(-25*E^(2*x) + (-3 + 2*E^(2*x)*x)*Log[x]))","A",1
4436,1,101,25,0.2193227,"\int \frac{-3-96 x^2-24 x^3-720 x^4-288 x^5+2880 x^7+7488 x^8+21120 x^9+23040 x^{10}+7680 x^{11}+768 x^{12}+e^{2 x} \left(64 x^8+64 x^9\right)+e^x \left(16 x^4-8 x^5-256 x^7-1216 x^8-2880 x^9-1280 x^{10}-128 x^{11}\right)}{32 x^7} \, dx","Integrate[(-3 - 96*x^2 - 24*x^3 - 720*x^4 - 288*x^5 + 2880*x^7 + 7488*x^8 + 21120*x^9 + 23040*x^10 + 7680*x^11 + 768*x^12 + E^(2*x)*(64*x^8 + 64*x^9) + E^x*(16*x^4 - 8*x^5 - 256*x^7 - 1216*x^8 - 2880*x^9 - 1280*x^10 - 128*x^11))/(32*x^7),x]","4 x^6+\frac{1}{64 x^6}+48 x^5+180 x^4+\frac{3}{4 x^4}+220 x^3+\frac{1}{4 x^3}+e^{2 x} x^2+117 x^2+\frac{45}{4 x^2}-\frac{1}{4} e^x \left(16 x^4+96 x^3+72 x^2+\frac{1}{x^2}+8 x+24\right)+90 x+\frac{9}{x}","x^2 \left(-2 \left(\frac{1}{4 x^2}+x+3\right)^2+e^x+9\right)^2",1,"1/(64*x^6) + 3/(4*x^4) + 1/(4*x^3) + 45/(4*x^2) + 9/x + 90*x + 117*x^2 + E^(2*x)*x^2 + 220*x^3 + 180*x^4 + 48*x^5 + 4*x^6 - (E^x*(24 + x^(-2) + 8*x + 72*x^2 + 96*x^3 + 16*x^4))/4","B",1
4437,1,106,26,0.1830403,"\int \frac{-2 e^{2+\frac{2 e^2}{x}} \log (5)+e^{2 x} \left(2 x^3+2 x^4\right) \log (5)+e^x \left(4 x^3+8 x^4+2 x^5+e^3 \left(2 x^2+2 x^3\right)\right) \log (5)+\left(2 x^3+6 x^4+4 x^5+e^3 \left(2 x^2+4 x^3\right)\right) \log (5)+e^{\frac{e^2}{x}} \left(e^x \left(-2 e^2 x+2 x^2+2 x^3\right) \log (5)+\left(-2 e^5+2 x^2+4 x^3+e^2 \left(-2 x-2 x^2\right)\right) \log (5)\right)}{x^2} \, dx","Integrate[(-2*E^(2 + (2*E^2)/x)*Log[5] + E^(2*x)*(2*x^3 + 2*x^4)*Log[5] + E^x*(4*x^3 + 8*x^4 + 2*x^5 + E^3*(2*x^2 + 2*x^3))*Log[5] + (2*x^3 + 6*x^4 + 4*x^5 + E^3*(2*x^2 + 4*x^3))*Log[5] + E^(E^2/x)*(E^x*(-2*E^2*x + 2*x^2 + 2*x^3)*Log[5] + (-2*E^5 + 2*x^2 + 4*x^3 + E^2*(-2*x - 2*x^2))*Log[5]))/x^2,x]","2 \left(\frac{1}{2} e^{2 x} x^2+\frac{1}{2} (x+1)^2 x^2+e^x (x+1) x^2+e^{x+3} x+e^{x+\frac{e^2}{x}} x+e^{\frac{e^2}{x}} (x+1) x+e^3 (x+1) x+e^{\frac{e^2}{x}+3}+\frac{1}{2} e^{\frac{2 e^2}{x}}\right) \log (5)","\left(\left(x+e^x\right) x+x+e^{\frac{e^2}{x}}+e^3\right)^2 \log (5)",1,"2*(E^(3 + E^2/x) + E^((2*E^2)/x)/2 + E^(3 + x)*x + E^(E^2/x + x)*x + (E^(2*x)*x^2)/2 + E^3*x*(1 + x) + E^(E^2/x)*x*(1 + x) + E^x*x^2*(1 + x) + (x^2*(1 + x)^2)/2)*Log[5]","B",1
4438,1,28,26,0.0807172,"\int \frac{250000-45000 x^5-187500 x^6+e^{5 x} \left(-1562500 x^3+1171875 x^9\right)+e^{5 x} \left(-187500 x^2+140625 x^8\right) \log \left(-4+3 x^6\right)+e^{5 x} \left(-7500 x+5625 x^7\right) \log ^2\left(-4+3 x^6\right)+e^{5 x} \left(-100+75 x^6\right) \log ^3\left(-4+3 x^6\right)}{-62500 x^3+46875 x^9+\left(-7500 x^2+5625 x^8\right) \log \left(-4+3 x^6\right)+\left(-300 x+225 x^7\right) \log ^2\left(-4+3 x^6\right)+\left(-4+3 x^6\right) \log ^3\left(-4+3 x^6\right)} \, dx","Integrate[(250000 - 45000*x^5 - 187500*x^6 + E^(5*x)*(-1562500*x^3 + 1171875*x^9) + E^(5*x)*(-187500*x^2 + 140625*x^8)*Log[-4 + 3*x^6] + E^(5*x)*(-7500*x + 5625*x^7)*Log[-4 + 3*x^6]^2 + E^(5*x)*(-100 + 75*x^6)*Log[-4 + 3*x^6]^3)/(-62500*x^3 + 46875*x^9 + (-7500*x^2 + 5625*x^8)*Log[-4 + 3*x^6] + (-300*x + 225*x^7)*Log[-4 + 3*x^6]^2 + (-4 + 3*x^6)*Log[-4 + 3*x^6]^3),x]","25 \left(\frac{50}{\left(\log \left(3 x^6-4\right)+25 x\right)^2}+\frac{e^{5 x}}{5}\right)","\frac{2}{\left(\frac{1}{25} \log \left(3 x^6-4\right)+x\right)^2}+5 e^{5 x}",1,"25*(E^(5*x)/5 + 50/(25*x + Log[-4 + 3*x^6])^2)","A",1
4439,1,26,32,0.2413553,"\int \frac{e^{\left(4 x^4-4 x^5+x^6\right) \log ^2(x)} \left(\left(32 x^3-24 x^4+2 x^6\right) \log (x)+\left(64 x^3-64 x^4+4 x^5+6 x^6\right) \log ^2(x)\right)+\left(-4-2 e^{\left(4 x^4-4 x^5+x^6\right) \log ^2(x)}-2 \log (4)\right) \log \left(2+e^{\left(4 x^4-4 x^5+x^6\right) \log ^2(x)}+\log (4)\right)}{128+96 x+24 x^2+2 x^3+e^{\left(4 x^4-4 x^5+x^6\right) \log ^2(x)} \left(64+48 x+12 x^2+x^3\right)+\left(64+48 x+12 x^2+x^3\right) \log (4)} \, dx","Integrate[(E^((4*x^4 - 4*x^5 + x^6)*Log[x]^2)*((32*x^3 - 24*x^4 + 2*x^6)*Log[x] + (64*x^3 - 64*x^4 + 4*x^5 + 6*x^6)*Log[x]^2) + (-4 - 2*E^((4*x^4 - 4*x^5 + x^6)*Log[x]^2) - 2*Log[4])*Log[2 + E^((4*x^4 - 4*x^5 + x^6)*Log[x]^2) + Log[4]])/(128 + 96*x + 24*x^2 + 2*x^3 + E^((4*x^4 - 4*x^5 + x^6)*Log[x]^2)*(64 + 48*x + 12*x^2 + x^3) + (64 + 48*x + 12*x^2 + x^3)*Log[4]),x]","\frac{\log \left(e^{(x-2)^2 x^4 \log ^2(x)}+2+\log (4)\right)}{(x+4)^2}","\frac{\log \left(e^{x^2 \left(2 x-x^2\right)^2 \log ^2(x)}+2+\log (4)\right)}{(x+4)^2}",1,"Log[2 + E^((-2 + x)^2*x^4*Log[x]^2) + Log[4]]/(4 + x)^2","A",1
4440,1,27,27,0.4709718,"\int \frac{e^{\frac{8-3 x+e^2 x}{x}} \left(e^2 x-x^2\right)+e^{\frac{8-3 x+e^2 x}{x}} \left(e^2 (-8-3 x)+8 x+4 x^2\right) \log (x)}{e^4 x^5-2 e^2 x^6+x^7} \, dx","Integrate[(E^((8 - 3*x + E^2*x)/x)*(E^2*x - x^2) + E^((8 - 3*x + E^2*x)/x)*(E^2*(-8 - 3*x) + 8*x + 4*x^2)*Log[x])/(E^4*x^5 - 2*E^2*x^6 + x^7),x]","\frac{e^{\frac{8}{x}+e^2-3} \log (x)}{\left(e^2-x\right) x^3}","\frac{e^{\frac{8}{x}+e^2-3} \log (x)}{\left(e^2-x\right) x^3}",1,"(E^(-3 + E^2 + 8/x)*Log[x])/((E^2 - x)*x^3)","A",1
4441,1,65,27,0.3640873,"\int \frac{x^3 \log ^3(x)+\exp \left(\frac{144+(-120-120 x+24 \log (3)) \log (x)+\left(25+50 x+25 x^2+(-10-10 x) \log (3)+\log ^2(3)\right) \log ^2(x)}{x^2 \log ^2(x)}\right) \left(-288+(-168+120 x-24 \log (3)) \log (x)+(240+120 x-48 \log (3)) \log ^2(x)+\left(-50-50 x+(20+10 x) \log (3)-2 \log ^2(3)\right) \log ^3(x)\right)}{x^3 \log ^3(x)} \, dx","Integrate[(x^3*Log[x]^3 + E^((144 + (-120 - 120*x + 24*Log[3])*Log[x] + (25 + 50*x + 25*x^2 + (-10 - 10*x)*Log[3] + Log[3]^2)*Log[x]^2)/(x^2*Log[x]^2))*(-288 + (-168 + 120*x - 24*Log[3])*Log[x] + (240 + 120*x - 48*Log[3])*Log[x]^2 + (-50 - 50*x + (20 + 10*x)*Log[3] - 2*Log[3]^2)*Log[x]^3))/(x^3*Log[x]^3),x]","3^{-\frac{10}{x^2}+\frac{24}{x^2 \log (x)}-\frac{10}{x}} \exp \left(\frac{144}{x^2 \log ^2(x)}+\frac{25+\log ^2(3)}{x^2}-\frac{120 (x+1)}{x^2 \log (x)}+\frac{50}{x}+25\right)+x","x+e^{\left(\frac{-x-\frac{12}{\log (x)}+5-\log (3)}{x}+6\right)^2}",1,"3^(-10/x^2 - 10/x + 24/(x^2*Log[x]))*E^(25 + 50/x + (25 + Log[3]^2)/x^2 + 144/(x^2*Log[x]^2) - (120*(1 + x))/(x^2*Log[x])) + x","B",1
4442,1,38,25,0.3745255,"\int \exp \left(\frac{127-250 x+125 x^2+5 \log (2)+\left(25-50 x+25 x^2+\log (2)\right) \log (3) \log ^2(4)}{5+\log (3) \log ^2(4)}\right) (-50+50 x) \, dx","Integrate[E^((127 - 250*x + 125*x^2 + 5*Log[2] + (25 - 50*x + 25*x^2 + Log[2])*Log[3]*Log[4]^2)/(5 + Log[3]*Log[4]^2))*(-50 + 50*x),x]","\exp \left(25 x^2-50 x+\frac{127+(25+\log (2)) \log (3) \log ^2(4)+\log (32)}{5+\log (3) \log ^2(4)}\right)","2 e^{25 (x-1)^2+\frac{2}{5+\log (3) \log ^2(4)}}",1,"E^(-50*x + 25*x^2 + (127 + (25 + Log[2])*Log[3]*Log[4]^2 + Log[32])/(5 + Log[3]*Log[4]^2))","A",1
4443,1,21,22,0.0138016,"\int \frac{1}{20} \left(20-160 e^{4 x^2} x+e^{e^x} \left(-1-e^x x\right)\right) \, dx","Integrate[(20 - 160*E^(4*x^2)*x + E^E^x*(-1 - E^x*x))/20,x]","-e^{4 x^2}-\frac{1}{20} e^{e^x} x+x","-e^{4 x^2}-\frac{1}{20} e^{e^x} x+x-3",1,"-E^(4*x^2) + x - (E^E^x*x)/20","A",1
4444,1,19,19,0.1344942,"\int \frac{2 \log (2)+\left(4+8 x+4 x^2-2 \log (2)\right) \log (x)+(8+8 x-2 \log (2)) \log (x) \log (\log (x))+4 \log (x) \log ^2(\log (x))}{\left(1+2 x+x^2\right) \log (x)+(2+2 x) \log (x) \log (\log (x))+\log (x) \log ^2(\log (x))} \, dx","Integrate[(2*Log[2] + (4 + 8*x + 4*x^2 - 2*Log[2])*Log[x] + (8 + 8*x - 2*Log[2])*Log[x]*Log[Log[x]] + 4*Log[x]*Log[Log[x]]^2)/((1 + 2*x + x^2)*Log[x] + (2 + 2*x)*Log[x]*Log[Log[x]] + Log[x]*Log[Log[x]]^2),x]","2 \left(2 x-\frac{x \log (2)}{x+\log (\log (x))+1}\right)","61-x \left(\frac{2 \log (2)}{x+\log (\log (x))+1}-4\right)",1,"2*(2*x - (x*Log[2])/(1 + x + Log[Log[x]]))","A",1
4445,1,19,20,0.0293648,"\int \frac{-1-2 x-4 x^2+(-1-4 x) \log (x)}{2 e^{4 x} x^4+4 e^{4 x} x^3 \log (x)+2 e^{4 x} x^2 \log ^2(x)} \, dx","Integrate[(-1 - 2*x - 4*x^2 + (-1 - 4*x)*Log[x])/(2*E^(4*x)*x^4 + 4*E^(4*x)*x^3*Log[x] + 2*E^(4*x)*x^2*Log[x]^2),x]","\frac{e^{-4 x}}{2 \left(x^2+x \log (x)\right)}","\frac{e^{-4 x}}{2 x (x+\log (x))}-9",1,"1/(2*E^(4*x)*(x^2 + x*Log[x]))","A",1
4446,1,27,22,0.1994532,"\int \frac{-1-11 x-5 e^5 x+5 x^2+5 x \log \left(\frac{3 x}{2}\right)}{-10 x-5 e^5 x+5 x^2+5 x \log \left(\frac{3 x}{2}\right)} \, dx","Integrate[(-1 - 11*x - 5*E^5*x + 5*x^2 + 5*x*Log[(3*x)/2])/(-10*x - 5*E^5*x + 5*x^2 + 5*x*Log[(3*x)/2]),x]","\frac{1}{5} \left(5 x-\log \left(-x-\log \left(\frac{3 x}{2}\right)+e^5+2\right)\right)","x-\frac{1}{5} \log \left(x+\log \left(\frac{3 x}{2}\right)-e^5-2\right)+1",1,"(5*x - Log[2 + E^5 - x - Log[(3*x)/2]])/5","A",1
4447,1,26,26,0.514809,"\int \frac{e^{-2 x} \log (x) \left(-128 \log (x)+(64+(-64-64 x) \log (x)) \log \left(\frac{x^2}{4}\right)\right)}{3 x^3 \log ^3\left(\frac{x^2}{4}\right)} \, dx","Integrate[(Log[x]*(-128*Log[x] + (64 + (-64 - 64*x)*Log[x])*Log[x^2/4]))/(3*E^(2*x)*x^3*Log[x^2/4]^3),x]","\frac{32 e^{-2 x} \log ^2(x)}{3 x^2 \log ^2\left(\frac{x^2}{4}\right)}","\frac{32 e^{-2 x} \log ^2(x)}{3 x^2 \log ^2\left(\frac{x^2}{4}\right)}",1,"(32*Log[x]^2)/(3*E^(2*x)*x^2*Log[x^2/4]^2)","A",1
4448,1,27,27,0.1340488,"\int \frac{\left(-2+\left(2-6 x^2\right) \log (x)-4 x^2 \log ^2(x)\right) \log \left(\frac{4 e^{-x^2-x^2 \log (x)} x}{5 \log (x)}\right)}{x \log (x)} \, dx","Integrate[((-2 + (2 - 6*x^2)*Log[x] - 4*x^2*Log[x]^2)*Log[(4*E^(-x^2 - x^2*Log[x])*x)/(5*Log[x])])/(x*Log[x]),x]","\log ^2\left(\frac{4 e^{-x^2} x^{1-x^2}}{5 \log (x)}\right)","\log ^2\left(\frac{4 x e^{x^2 (-\log (x))-x^2}}{5 \log (x)}\right)",1,"Log[(4*x^(1 - x^2))/(5*E^x^2*Log[x])]^2","A",1
4449,1,19,16,0.0045627,"\int \frac{-4 x+\left(4-2 e^2\right) \log (x)}{x} \, dx","Integrate[(-4*x + (4 - 2*E^2)*Log[x])/x,x]","-4 x-e^2 \log ^2(x)+2 \log ^2(x)","-4 x-\left(\left(e^2-2\right) \log ^2(x)\right)+4",1,"-4*x + 2*Log[x]^2 - E^2*Log[x]^2","A",1
4450,1,14,23,0.0021179,"\int \frac{12 e^3+x^2 \log (2)}{x^2 \log (2)} \, dx","Integrate[(12*E^3 + x^2*Log[2])/(x^2*Log[2]),x]","x-\frac{12 e^3}{x \log (2)}","9-3 \left(-\frac{x}{3}+\frac{4 e^3}{x \log (2)}-5\right)",1,"x - (12*E^3)/(x*Log[2])","A",1
4451,1,19,22,0.3157774,"\int \frac{e^x \left(-10+5 e^{-x^2}\right)+5 x+e^x \left(-10 x+e^{-x^2} \left(5 x-10 x^2\right)\right) \log (x)}{x} \, dx","Integrate[(E^x*(-10 + 5/E^x^2) + 5*x + E^x*(-10*x + (5*x - 10*x^2)/E^x^2)*Log[x])/x,x]","5 \left(e^x \left(e^{-x^2}-2\right) \log (x)+x\right)","5 \left(x-e^x \left(2-e^{-x^2}\right) \log (x)\right)",1,"5*(x + E^x*(-2 + E^(-x^2))*Log[x])","A",1
4452,1,34,31,0.0977266,"\int \frac{-2+(-1+3 \log (x)) \log \left(x^2\right)+\log \left(x^2\right) \log \left(\log \left(x^2\right)\right)}{(2 x+3 x \log (x)) \log \left(x^2\right)+x \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)} \, dx","Integrate[(-2 + (-1 + 3*Log[x])*Log[x^2] + Log[x^2]*Log[Log[x^2]])/((2*x + 3*x*Log[x])*Log[x^2] + x*Log[x^2]*Log[Log[x^2]]),x]","\log (x)-\log \left(6 \left(\log (x)-\frac{\log \left(x^2\right)}{2}\right)+3 \log \left(x^2\right)+2 \log \left(\log \left(x^2\right)\right)+4\right)","-\log \left(\frac{1}{3} \left(\log \left(\log \left(x^2\right)\right)+2\right)+\log (x)\right)+\log \left(\frac{x}{5+e^{e^5}}\right)+3",1,"Log[x] - Log[4 + 6*(Log[x] - Log[x^2]/2) + 3*Log[x^2] + 2*Log[Log[x^2]]]","A",1
4453,1,27,29,0.0416562,"\int \frac{-9+8 x+4 x^3-4 x^4+x^5+\left(4+x+x^2-x^3\right) \log \left(4+x+x^2-x^3\right)}{4-3 x+4 x^2-x^3+2 x^4-x^5+\left(-4-x-x^2+x^3\right) \log \left(4+x+x^2-x^3\right)} \, dx","Integrate[(-9 + 8*x + 4*x^3 - 4*x^4 + x^5 + (4 + x + x^2 - x^3)*Log[4 + x + x^2 - x^3])/(4 - 3*x + 4*x^2 - x^3 + 2*x^4 - x^5 + (-4 - x - x^2 + x^3)*Log[4 + x + x^2 - x^3]),x]","\log \left(x^2-\log \left(-x^3+x^2+x+4\right)-x+1\right)-x","\log \left(-\log \left(4-x \left(x^2-x-1\right)\right)+(x-1)^2+x\right)-x-4",1,"-x + Log[1 - x + x^2 - Log[4 + x + x^2 - x^3]]","A",1
4454,1,21,21,0.0777033,"\int \frac{-20-10 x+e^x \left(-15 x-5 x^2\right)-5 e^x x \log \left(20 x^2\right)}{27 x+9 x^2+e^x \left(-18 x-6 x^2\right)+e^{2 x} \left(3 x+x^2\right)+\left(9 x-6 e^x x+e^{2 x} x\right) \log \left(20 x^2\right)+\left(-18 x-6 x^2+e^x \left(6 x+2 x^2\right)+\left(-6 x+2 e^x x\right) \log \left(20 x^2\right)\right) \log \left(9+6 x+x^2+(6+2 x) \log \left(20 x^2\right)+\log ^2\left(20 x^2\right)\right)+\left(3 x+x^2+x \log \left(20 x^2\right)\right) \log ^2\left(9+6 x+x^2+(6+2 x) \log \left(20 x^2\right)+\log ^2\left(20 x^2\right)\right)} \, dx","Integrate[(-20 - 10*x + E^x*(-15*x - 5*x^2) - 5*E^x*x*Log[20*x^2])/(27*x + 9*x^2 + E^x*(-18*x - 6*x^2) + E^(2*x)*(3*x + x^2) + (9*x - 6*E^x*x + E^(2*x)*x)*Log[20*x^2] + (-18*x - 6*x^2 + E^x*(6*x + 2*x^2) + (-6*x + 2*E^x*x)*Log[20*x^2])*Log[9 + 6*x + x^2 + (6 + 2*x)*Log[20*x^2] + Log[20*x^2]^2] + (3*x + x^2 + x*Log[20*x^2])*Log[9 + 6*x + x^2 + (6 + 2*x)*Log[20*x^2] + Log[20*x^2]^2]^2),x]","\frac{5}{\log \left(\left(\log \left(20 x^2\right)+x+3\right)^2\right)+e^x-3}","\frac{5}{\log \left(\left(\log \left(20 x^2\right)+x+3\right)^2\right)+e^x-3}",1,"5/(-3 + E^x + Log[(3 + x + Log[20*x^2])^2])","A",1
4455,1,49,24,0.0351398,"\int \frac{-2+e^2+\left(-4-e^4+e^2 (4-4 x)+8 x-4 x^2\right) \log (4)}{\left(4+e^4-8 x+4 x^2+e^2 (-4+4 x)\right) \log (4)} \, dx","Integrate[(-2 + E^2 + (-4 - E^4 + E^2*(4 - 4*x) + 8*x - 4*x^2)*Log[4])/((4 + E^4 - 8*x + 4*x^2 + E^2*(-4 + 4*x))*Log[4]),x]","-\frac{\left(2 x+e^2-2\right)^2 \log (4)+e^2-2+e^2 \log (256)-4 e^2 \log (4)}{2 \left(2 x+e^2-2\right) \log (4)}","-x+\frac{x}{\left(2 x+e^2-2\right) \log (4)}+\frac{1}{e^3}+2",1,"-1/2*(-2 + E^2 - 4*E^2*Log[4] + (-2 + E^2 + 2*x)^2*Log[4] + E^2*Log[256])/((-2 + E^2 + 2*x)*Log[4])","B",1
4456,1,19,22,0.0113568,"\int \frac{-24-6 x-48 x^3-3 x^4+e \left(-45-90 x^3\right)}{e \left(1-2 x^3+x^6\right)} \, dx","Integrate[(-24 - 6*x - 48*x^3 - 3*x^4 + E*(-45 - 90*x^3))/(E*(1 - 2*x^3 + x^6)),x]","\frac{3 x (x+15 e+8)}{e \left(x^3-1\right)}","\frac{9 x \left(\frac{x+8}{3 e}+5\right)}{x^3-1}",1,"(3*x*(8 + 15*E + x))/(E*(-1 + x^3))","A",1
4457,1,13,13,0.0054036,"\int \frac{1}{625} e^{\frac{1}{625} \left(625-450 x+81 x^2\right)} (-450+162 x) \, dx","Integrate[(E^((625 - 450*x + 81*x^2)/625)*(-450 + 162*x))/625,x]","e^{\frac{1}{625} (25-9 x)^2}","e^{\left(\frac{9 x}{25}-1\right)^2}-5",1,"E^((25 - 9*x)^2/625)","A",1
4458,1,176,31,1.9663589,"\int \frac{\exp \left(\frac{17-34 x^2+17 e^8 x^2+32 x^3-15 x^4-32 x^5+48 x^6-32 x^7+16 x^8+e^4 \left(34 x-34 x^3+32 x^4-32 x^5\right)+e^{2 x} \left(1-2 x^2+e^8 x^2+x^4+e^4 \left(2 x-2 x^3\right)\right)+e^x \left(8-16 x^2+8 e^8 x^2+8 x^3-8 x^5+8 x^6+e^4 \left(16 x-16 x^3+8 x^4-8 x^5\right)\right)}{1-2 x^2+e^8 x^2+x^4+e^4 \left(2 x-2 x^3\right)}\right) \left(96 x^2-128 x^3-128 x^4+288 x^5-192 x^6+32 x^7+96 x^8-64 x^9+e^8 \left(64 x^4-96 x^5\right)+e^4 \left(160 x^3-224 x^4-96 x^5+224 x^6-160 x^7+96 x^8\right)+e^{2 x} \left(2-6 x^2+2 e^{12} x^3+6 x^4-2 x^6+e^8 \left(6 x^2-6 x^4\right)+e^4 \left(6 x-12 x^3+6 x^5\right)\right)+e^x \left(8-24 x^3+8 e^{12} x^3-16 x^4+32 x^5+16 x^6-8 x^7-8 x^8+e^8 \left(24 x^2-8 x^4-16 x^5-8 x^6\right)+e^4 \left(24 x-8 x^3-40 x^4-16 x^5+24 x^6+16 x^7\right)\right)\right)}{1-3 x^2+e^{12} x^3+3 x^4-x^6+e^8 \left(3 x^2-3 x^4\right)+e^4 \left(3 x-6 x^3+3 x^5\right)} \, dx","Integrate[(E^((17 - 34*x^2 + 17*E^8*x^2 + 32*x^3 - 15*x^4 - 32*x^5 + 48*x^6 - 32*x^7 + 16*x^8 + E^4*(34*x - 34*x^3 + 32*x^4 - 32*x^5) + E^(2*x)*(1 - 2*x^2 + E^8*x^2 + x^4 + E^4*(2*x - 2*x^3)) + E^x*(8 - 16*x^2 + 8*E^8*x^2 + 8*x^3 - 8*x^5 + 8*x^6 + E^4*(16*x - 16*x^3 + 8*x^4 - 8*x^5)))/(1 - 2*x^2 + E^8*x^2 + x^4 + E^4*(2*x - 2*x^3)))*(96*x^2 - 128*x^3 - 128*x^4 + 288*x^5 - 192*x^6 + 32*x^7 + 96*x^8 - 64*x^9 + E^8*(64*x^4 - 96*x^5) + E^4*(160*x^3 - 224*x^4 - 96*x^5 + 224*x^6 - 160*x^7 + 96*x^8) + E^(2*x)*(2 - 6*x^2 + 2*E^12*x^3 + 6*x^4 - 2*x^6 + E^8*(6*x^2 - 6*x^4) + E^4*(6*x - 12*x^3 + 6*x^5)) + E^x*(8 - 24*x^3 + 8*E^12*x^3 - 16*x^4 + 32*x^5 + 16*x^6 - 8*x^7 - 8*x^8 + E^8*(24*x^2 - 8*x^4 - 16*x^5 - 8*x^6) + E^4*(24*x - 8*x^3 - 40*x^4 - 16*x^5 + 24*x^6 + 16*x^7))))/(1 - 3*x^2 + E^12*x^3 + 3*x^4 - x^6 + E^8*(3*x^2 - 3*x^4) + E^4*(3*x - 6*x^3 + 3*x^5)),x]","\exp \left(\frac{8 e^{x+8} x^2+e^{2 x+8} x^2+17 e^8 x^2+e^{2 x} \left(x^2-1\right)^2-2 e^{2 x+4} x \left(x^2-1\right)+e^4 \left(-32 x^5+32 x^4-34 x^3+34 x\right)+8 e^x \left(x^4+x^3+x^2+2 x+1\right) (x-1)^2-8 e^{x+4} x \left(x^4-x^3+2 x^2-2\right)+\left(16 x^6+32 x^4+32 x^3+17 x^2+34 x+17\right) (x-1)^2}{\left(-x^2+e^4 x+1\right)^2}\right)","\exp \left(\left(-\frac{4 (x-1) x^2}{-x+\frac{1}{x}+e^4}+e^x+4\right)^2+1\right)",1,"E^((17*E^8*x^2 + 8*E^(8 + x)*x^2 + E^(8 + 2*x)*x^2 - 2*E^(4 + 2*x)*x*(-1 + x^2) + E^(2*x)*(-1 + x^2)^2 - 8*E^(4 + x)*x*(-2 + 2*x^2 - x^3 + x^4) + 8*E^x*(-1 + x)^2*(1 + 2*x + x^2 + x^3 + x^4) + E^4*(34*x - 34*x^3 + 32*x^4 - 32*x^5) + (-1 + x)^2*(17 + 34*x + 17*x^2 + 32*x^3 + 32*x^4 + 16*x^6))/(1 + E^4*x - x^2)^2)","B",1
4459,1,21,23,0.0759933,"\int \frac{\left(15 e^3-30 x\right) \log \left(-\frac{5}{e^3-2 x}\right)+\left(30 x+\left(-15 e^3+30 x\right) \log \left(-\frac{5}{e^3-2 x}\right)\right) \log (x)}{4 e^3 x^2-8 x^3} \, dx","Integrate[((15*E^3 - 30*x)*Log[-5/(E^3 - 2*x)] + (30*x + (-15*E^3 + 30*x)*Log[-5/(E^3 - 2*x)])*Log[x])/(4*E^3*x^2 - 8*x^3),x]","\frac{15 \log \left(-\frac{5}{e^3-2 x}\right) \log (x)}{4 x}","\frac{15 \log (x) \log \left(\frac{5}{2 x-e^3}\right)}{4 x}",1,"(15*Log[-5/(E^3 - 2*x)]*Log[x])/(4*x)","A",1
4460,1,21,27,0.0126978,"\int \frac{(-3+3 \log (x)) (i \pi +\log (\log (1+5 \log (4))))}{\log ^2(x)} \, dx","Integrate[((-3 + 3*Log[x])*(I*Pi + Log[Log[1 + 5*Log[4]]]))/Log[x]^2,x]","\frac{3 x (\log (\log (1+5 \log (4)))+i \pi )}{\log (x)}","\frac{3 x \left(\log \left(-\log \left(\frac{5}{5+25 \log (4)}\right)\right)+i \pi \right)}{\log (x)}",1,"(3*x*(I*Pi + Log[Log[1 + 5*Log[4]]]))/Log[x]","A",1
4461,1,29,32,0.3930079,"\int \frac{\exp \left(-e^x x+3 e^{x+\frac{4 x}{(-25+10 x) \log (x)}} x\right) \left(e^x \left(-125-25 x+80 x^2-20 x^3\right) \log ^2(x)+e^{\frac{4 x}{(-25+10 x) \log (x)}} \left(e^x \left(60 x-24 x^2\right)-60 e^x x \log (x)+e^x \left(375+75 x-240 x^2+60 x^3\right) \log ^2(x)\right)\right)}{\left(125-100 x+20 x^2\right) \log ^2(x)} \, dx","Integrate[(E^(-(E^x*x) + 3*E^(x + (4*x)/((-25 + 10*x)*Log[x]))*x)*(E^x*(-125 - 25*x + 80*x^2 - 20*x^3)*Log[x]^2 + E^((4*x)/((-25 + 10*x)*Log[x]))*(E^x*(60*x - 24*x^2) - 60*E^x*x*Log[x] + E^x*(375 + 75*x - 240*x^2 + 60*x^3)*Log[x]^2)))/((125 - 100*x + 20*x^2)*Log[x]^2),x]","\exp \left(e^x x \left(3 e^{\frac{4 x}{5 (2 x-5) \log (x)}}-1\right)\right)","e^{e^x \left(3 x e^{\frac{4}{5 \left(2-\frac{5}{x}\right) \log (x)}}-x\right)}",1,"E^(E^x*(-1 + 3*E^((4*x)/(5*(-5 + 2*x)*Log[x])))*x)","A",1
4462,1,44,24,0.1367775,"\int \frac{\exp \left(\frac{-100-e^{225 x/8}+20 x^2+x^3-x^4+e^{225 x/16} \left(-20+2 x^2\right)}{x^2}\right) \left(1600+e^{225 x/8} (16-225 x)+8 x^3-16 x^4+e^{225 x/16} \left(320-2250 x+225 x^3\right)\right)}{8 x^3} \, dx","Integrate[(E^((-100 - E^((225*x)/8) + 20*x^2 + x^3 - x^4 + E^((225*x)/16)*(-20 + 2*x^2))/x^2)*(1600 + E^((225*x)/8)*(16 - 225*x) + 8*x^3 - 16*x^4 + E^((225*x)/16)*(320 - 2250*x + 225*x^3)))/(8*x^3),x]","\exp \left(-x^2-\frac{e^{225 x/8}}{x^2}+\frac{2 e^{225 x/16} \left(x^2-10\right)}{x^2}-\frac{100}{x^2}+x+20\right)","e^{x-\left(x-\frac{e^{225 x/16}+10}{x}\right)^2}",1,"E^(20 - 100/x^2 - E^((225*x)/8)/x^2 + x - x^2 + (2*E^((225*x)/16)*(-10 + x^2))/x^2)","A",1
4463,1,20,18,0.3989983,"\int \frac{19+52 x+73 x^2+58 x^3+28 x^4+8 x^5+x^6+e^x \left(25+60 x+76 x^2+58 x^3+28 x^4+8 x^5+x^6\right)}{25+60 x+76 x^2+58 x^3+28 x^4+8 x^5+x^6} \, dx","Integrate[(19 + 52*x + 73*x^2 + 58*x^3 + 28*x^4 + 8*x^5 + x^6 + E^x*(25 + 60*x + 76*x^2 + 58*x^3 + 28*x^4 + 8*x^5 + x^6))/(25 + 60*x + 76*x^2 + 58*x^3 + 28*x^4 + 8*x^5 + x^6),x]","\frac{1}{x^3+4 x^2+6 x+5}+x+e^x","\frac{x}{(x+1)^4+x-1}+x+e^x+4",1,"E^x + x + (5 + 6*x + 4*x^2 + x^3)^(-1)","A",1
4464,1,12,18,0.0023925,"\int \frac{2+x+6 \log \left(\frac{x^3}{e^2}\right)}{x} \, dx","Integrate[(2 + x + 6*Log[x^3/E^2])/x,x]","\log ^2\left(x^3\right)+x-10 \log (x)","\log ^2\left(\frac{x^3}{e^2}\right)+\log \left(4 x^2\right)+x",1,"x - 10*Log[x] + Log[x^3]^2","A",1
4465,1,13,13,0.0548236,"\int \frac{1-\log (x)-2 \log (x) \log \left(\frac{\log (x)}{x}\right)}{x \log (x) \log \left(\frac{\log (x)}{x}\right)} \, dx","Integrate[(1 - Log[x] - 2*Log[x]*Log[Log[x]/x])/(x*Log[x]*Log[Log[x]/x]),x]","\log \left(\log \left(\frac{\log (x)}{x}\right)\right)-2 \log (x)","\log \left(\frac{4 \log \left(\frac{\log (x)}{x}\right)}{x^2}\right)",1,"-2*Log[x] + Log[Log[Log[x]/x]]","A",1
4466,1,18,19,0.1116013,"\int \frac{x+2 x^2+(1+10 x+2 x \log (x)) \log (\log (2))}{x^2+(5 x+x \log (x)) \log (\log (2))} \, dx","Integrate[(x + 2*x^2 + (1 + 10*x + 2*x*Log[x])*Log[Log[2]])/(x^2 + (5*x + x*Log[x])*Log[Log[2]]),x]","2 x+\log (x+\log (\log (2)) \log (x)+5 \log (\log (2)))","2 x+\log (x-\log (\log (2)) (-\log (x)-5))-10",1,"2*x + Log[x + 5*Log[Log[2]] + Log[x]*Log[Log[2]]]","A",1
4467,1,39,29,0.0190114,"\int \frac{-250 e^4 x+500 e^4 x \log (x)-500 e^4 x \log ^2(x)+\left(25 e^7+250 e^4 x\right) \log ^3(x)}{\log ^3(x)} \, dx","Integrate[(-250*E^4*x + 500*E^4*x*Log[x] - 500*E^4*x*Log[x]^2 + (25*E^7 + 250*E^4*x)*Log[x]^3)/Log[x]^3,x]","125 e^4 x^2+\frac{125 e^4 x^2}{\log ^2(x)}-\frac{250 e^4 x^2}{\log (x)}+25 e^7 x","5 \left(e^4 \left(5 e^3 x+25 \left(x-\frac{x}{\log (x)}\right)^2+2\right)-2\right)",1,"25*E^7*x + 125*E^4*x^2 + (125*E^4*x^2)/Log[x]^2 - (250*E^4*x^2)/Log[x]","A",1
4468,1,22,22,0.254886,"\int \frac{-9-18 x+e^{x^2} \left(1+2 x-8 x^2-2 x^3-2 x^4\right)+\left(-36-9 x-9 x^2+e^{x^2} \left(4+x+x^2\right)\right) \log \left(\frac{2}{-9+e^{x^2}}\right)}{-36-9 x-9 x^2+e^{x^2} \left(4+x+x^2\right)} \, dx","Integrate[(-9 - 18*x + E^x^2*(1 + 2*x - 8*x^2 - 2*x^3 - 2*x^4) + (-36 - 9*x - 9*x^2 + E^x^2*(4 + x + x^2))*Log[2/(-9 + E^x^2)])/(-36 - 9*x - 9*x^2 + E^x^2*(4 + x + x^2)),x]","x \log \left(\frac{2}{e^{x^2}-9}\right)+\log \left(x^2+x+4\right)","x \log \left(\frac{2}{e^{x^2}-9}\right)+\log \left(x^2+x+4\right)",1,"x*Log[2/(-9 + E^x^2)] + Log[4 + x + x^2]","A",1
4469,1,24,20,0.6284498,"\int \frac{12 x+16 x^2+\left(-14 x-8 x^2\right) \log (x)+\left(3 x+10 x^2+8 x^3\right) \log ^3(x)+(12+16 x) \log (3+4 x)}{\left(3 x+4 x^2\right) \log ^3(x)} \, dx","Integrate[(12*x + 16*x^2 + (-14*x - 8*x^2)*Log[x] + (3*x + 10*x^2 + 8*x^3)*Log[x]^3 + (12 + 16*x)*Log[3 + 4*x])/((3*x + 4*x^2)*Log[x]^3),x]","x^2+x-\frac{2 x}{\log ^2(x)}-\frac{2 \log (4 x+3)}{\log ^2(x)}","x^2+x-\frac{2 (x+\log (4 x+3))}{\log ^2(x)}-2",1,"x + x^2 - (2*x)/Log[x]^2 - (2*Log[3 + 4*x])/Log[x]^2","A",1
4470,1,26,24,0.2491849,"\int \frac{25 e^4+e^{4+x} (5-5 x)}{\left(25+e^{2 x}+15 x+2 x^2+e^x (10+3 x)\right) \log ^2\left(\frac{10+2 e^x+2 x}{5+e^x+2 x}\right)} \, dx","Integrate[(25*E^4 + E^(4 + x)*(5 - 5*x))/((25 + E^(2*x) + 15*x + 2*x^2 + E^x*(10 + 3*x))*Log[(10 + 2*E^x + 2*x)/(5 + E^x + 2*x)]^2),x]","\frac{5 e^4}{\log \left(\frac{2 \left(x+e^x+5\right)}{2 x+e^x+5}\right)}","\frac{5 e^4}{\log \left(\frac{2}{\frac{x}{x+e^x+5}+1}\right)}",1,"(5*E^4)/Log[(2*(5 + E^x + x))/(5 + E^x + 2*x)]","A",1
4471,1,26,25,2.1737704,"\int \left(-1+e^{x-x^4 \log (x)} \left(-24-4 x+7 x^2-x^3+24 x^4-10 x^5+x^6+\left(96 x^4-40 x^5+4 x^6\right) \log (x)\right)\right) \, dx","Integrate[-1 + E^(x - x^4*Log[x])*(-24 - 4*x + 7*x^2 - x^3 + 24*x^4 - 10*x^5 + x^6 + (96*x^4 - 40*x^5 + 4*x^6)*Log[x]),x]","-e^x \left(x^2-10 x+24\right) x^{1-x^4}-x","x \left(\left(1-(x-5)^2\right) e^{x-x^4 \log (x)}-1\right)",1,"-x - E^x*x^(1 - x^4)*(24 - 10*x + x^2)","A",1
4472,1,25,28,0.1354628,"\int \frac{\left(4 x^3+\left(32 x^3-4 x^3 \log (x)\right) \log (16-2 \log (x))+\left(-16+18 \log (x)-2 \log ^2(x)\right) \log ^3(16-2 \log (x))\right) \log \left(\frac{x^3+(-x-\log (x)) \log ^2(16-2 \log (x))}{x \log ^2(16-2 \log (x))}\right)}{\left(8 x^4-x^4 \log (x)\right) \log (16-2 \log (x))+\left(-8 x^2+\left(-8 x+x^2\right) \log (x)+x \log ^2(x)\right) \log ^3(16-2 \log (x))} \, dx","Integrate[((4*x^3 + (32*x^3 - 4*x^3*Log[x])*Log[16 - 2*Log[x]] + (-16 + 18*Log[x] - 2*Log[x]^2)*Log[16 - 2*Log[x]]^3)*Log[(x^3 + (-x - Log[x])*Log[16 - 2*Log[x]]^2)/(x*Log[16 - 2*Log[x]]^2)])/((8*x^4 - x^4*Log[x])*Log[16 - 2*Log[x]] + (-8*x^2 + (-8*x + x^2)*Log[x] + x*Log[x]^2)*Log[16 - 2*Log[x]]^3),x]","\log ^2\left(\frac{x^2}{\log ^2(-2 (\log (x)-8))}-\frac{\log (x)}{x}-1\right)","\log ^2\left(\frac{x^2}{\log ^2(2 (8-\log (x)))}-\frac{x+\log (x)}{x}\right)",1,"Log[-1 - Log[x]/x + x^2/Log[-2*(-8 + Log[x])]^2]^2","A",1
4473,1,9,11,0.010086,"\int \left(1+e^x (2+x)\right) \, dx","Integrate[1 + E^x*(2 + x),x]","x+e^x (x+1)","e^x x+x+e^x+4",1,"x + E^x*(1 + x)","A",1
4474,1,18,25,0.0293311,"\int -\frac{8}{(1620+144 x+180 \log (2)) \log \left(\frac{1}{5} (45+4 x+5 \log (2))\right) \log \left(\log \left(\frac{1}{5} (45+4 x+5 \log (2))\right)\right)+(540+48 x+60 \log (2)) \log \left(\frac{1}{5} (45+4 x+5 \log (2))\right) \log \left(\log \left(\frac{1}{5} (45+4 x+5 \log (2))\right)\right) \log \left(\log \left(\log \left(\frac{1}{5} (45+4 x+5 \log (2))\right)\right)\right)+(45+4 x+5 \log (2)) \log \left(\frac{1}{5} (45+4 x+5 \log (2))\right) \log \left(\log \left(\frac{1}{5} (45+4 x+5 \log (2))\right)\right) \log ^2\left(\log \left(\log \left(\frac{1}{5} (45+4 x+5 \log (2))\right)\right)\right)} \, dx","Integrate[-8/((1620 + 144*x + 180*Log[2])*Log[(45 + 4*x + 5*Log[2])/5]*Log[Log[(45 + 4*x + 5*Log[2])/5]] + (540 + 48*x + 60*Log[2])*Log[(45 + 4*x + 5*Log[2])/5]*Log[Log[(45 + 4*x + 5*Log[2])/5]]*Log[Log[Log[(45 + 4*x + 5*Log[2])/5]]] + (45 + 4*x + 5*Log[2])*Log[(45 + 4*x + 5*Log[2])/5]*Log[Log[(45 + 4*x + 5*Log[2])/5]]*Log[Log[Log[(45 + 4*x + 5*Log[2])/5]]]^2),x]","\frac{2}{\log \left(\log \left(\log \left(\frac{4 x}{5}+9+\log (2)\right)\right)\right)+6}","\frac{x}{3 x+\frac{1}{2} x \log \left(\log \left(\log \left(\frac{4 x}{5}+9+\log (2)\right)\right)\right)}",1,"2/(6 + Log[Log[Log[9 + (4*x)/5 + Log[2]]]])","A",1
4475,1,18,29,0.1479856,"\int \frac{1}{10} e^{-e^{1-x}} \left(1+e^{1-x} (1+x)\right) \, dx","Integrate[(1 + E^(1 - x)*(1 + x))/(10*E^E^(1 - x)),x]","\frac{1}{10} e^{-e^{1-x}} (x+1)","\frac{5 e^{-e^{1-x}} \left(x^2+x\right)-x}{50 x}",1,"(1 + x)/(10*E^E^(1 - x))","A",1
4476,1,20,20,0.0475325,"\int \frac{\exp \left(-4+\frac{-2 x+e^4 \log \left(x+x^2\right) \log (\log (x))}{e^4 \log \left(x+x^2\right)}\right) \left(\left(12 x+24 x^2\right) \log (x)+\left(-12 x-12 x^2\right) \log (x) \log \left(x+x^2\right)+e^4 (6+6 x) \log ^2\left(x+x^2\right)\right)}{\left(x+x^2\right) \log (x) \log ^2\left(x+x^2\right)} \, dx","Integrate[(E^(-4 + (-2*x + E^4*Log[x + x^2]*Log[Log[x]])/(E^4*Log[x + x^2]))*((12*x + 24*x^2)*Log[x] + (-12*x - 12*x^2)*Log[x]*Log[x + x^2] + E^4*(6 + 6*x)*Log[x + x^2]^2))/((x + x^2)*Log[x]*Log[x + x^2]^2),x]","6 e^{-\frac{2 x}{e^4 \log (x (x+1))}} \log (x)","6 e^{-\frac{2 x}{e^4 \log \left(x^2+x\right)}} \log (x)",1,"(6*Log[x])/E^((2*x)/(E^4*Log[x*(1 + x)]))","A",1
4477,1,24,22,0.2221008,"\int \left(-1+e^{-2 e^{\frac{625+x \log (2)}{x}} x^2+2 x^3} \left(e^{\frac{625+x \log (2)}{x}} (1250-4 x)+6 x^2\right)\right) \, dx","Integrate[-1 + E^(-2*E^((625 + x*Log[2])/x)*x^2 + 2*x^3)*(E^((625 + x*Log[2])/x)*(1250 - 4*x) + 6*x^2),x]","e^{2 x^3-4 e^{625/x} x^2}-x","e^{2 x^2 \left(x-2 e^{625/x}\right)}-x",1,"E^(-4*E^(625/x)*x^2 + 2*x^3) - x","A",1
4478,1,23,24,0.0179587,"\int \frac{5+10 x^3+5 e^x x^3+2 e^3 x^4-10 \log (x)}{5 x^3} \, dx","Integrate[(5 + 10*x^3 + 5*E^x*x^3 + 2*E^3*x^4 - 10*Log[x])/(5*x^3),x]","\frac{e^3 x^2}{5}+\frac{\log (x)}{x^2}+2 x+e^x","\frac{\log (x)}{x^2}+\left(\frac{e^3 x}{5}+1\right) x+x+e^x+1",1,"E^x + 2*x + (E^3*x^2)/5 + Log[x]/x^2","A",1
4479,1,17,17,0.5424931,"\int \frac{e^{-x+e^{e^x} x} \left(-4 x+e^{e^x} \left(4 x+4 e^x x^2\right)\right)+\left(-4+4 e^{-x+e^{e^x} x}\right) \log \left(-1+e^{-x+e^{e^x} x}\right)}{-1+e^{-x+e^{e^x} x}} \, dx","Integrate[(E^(-x + E^E^x*x)*(-4*x + E^E^x*(4*x + 4*E^x*x^2)) + (-4 + 4*E^(-x + E^E^x*x))*Log[-1 + E^(-x + E^E^x*x)])/(-1 + E^(-x + E^E^x*x)),x]","4 x \log \left(e^{\left(e^{e^x}-1\right) x}-1\right)","4 x \log \left(e^{\left(e^{e^x}-1\right) x}-1\right)",1,"4*x*Log[-1 + E^((-1 + E^E^x)*x)]","A",1
4480,1,26,28,0.1342116,"\int \frac{\left(-x^3-x^4\right) \log (x)+\left(5 x^2+6 x^3+x^4+\left(5 x^2+6 x^3+x^4\right) \log (x)\right) \log (5+x)+\left(-500-600 x-100 x^2\right) \log ^2(5+x)+\left(\left(5 x^2+11 x^3+2 x^4\right) \log (x) \log (5+x)+\left(500+1225 x+475 x^2+50 x^3\right) \log ^2(5+x)\right) \log \left(\frac{x^2 \log (x)+(100+25 x) \log (5+x)}{25 x \log (5+x)}\right)}{\left(5 x^2+x^3\right) \log (x) \log (5+x)+\left(500+225 x+25 x^2\right) \log ^2(5+x)} \, dx","Integrate[((-x^3 - x^4)*Log[x] + (5*x^2 + 6*x^3 + x^4 + (5*x^2 + 6*x^3 + x^4)*Log[x])*Log[5 + x] + (-500 - 600*x - 100*x^2)*Log[5 + x]^2 + ((5*x^2 + 11*x^3 + 2*x^4)*Log[x]*Log[5 + x] + (500 + 1225*x + 475*x^2 + 50*x^3)*Log[5 + x]^2)*Log[(x^2*Log[x] + (100 + 25*x)*Log[5 + x])/(25*x*Log[5 + x])])/((5*x^2 + x^3)*Log[x]*Log[5 + x] + (500 + 225*x + 25*x^2)*Log[5 + x]^2),x]","x (x+1) \log \left(\frac{4}{x}+\frac{x \log (x)}{25 \log (x+5)}+1\right)","x (x+1) \log \left(\frac{\frac{x^2 \log (x)}{25 \log (x+5)}+x+4}{x}\right)",1,"x*(1 + x)*Log[1 + 4/x + (x*Log[x])/(25*Log[5 + x])]","A",1
4481,1,33,26,0.5578234,"\int \frac{e^{x+2 e^8 x^2} (-5+5 x)+e^{x+e^8 x^2} \left(2 x-x^2-2 e^8 x^3\right)}{25 e^{3+2 e^8 x^2} x^2-10 e^{3+e^8 x^2} x^3+e^3 x^4} \, dx","Integrate[(E^(x + 2*E^8*x^2)*(-5 + 5*x) + E^(x + E^8*x^2)*(2*x - x^2 - 2*E^8*x^3))/(25*E^(3 + 2*E^8*x^2)*x^2 - 10*E^(3 + E^8*x^2)*x^3 + E^3*x^4),x]","\frac{e^{e^8 x^2+x-3}}{\left(5 e^{e^8 x^2}-x\right) x}","\frac{e^{x-3}}{x \left(5-e^{-e^8 x^2} x\right)}",1,"E^(-3 + x + E^8*x^2)/((5*E^(E^8*x^2) - x)*x)","A",1
4482,1,27,32,0.3479148,"\int \frac{-2 x^2+3 x^3+3 x^5+e^x \left(2 x-3 x^3-4 x^4+x^5\right)+\left(3 x^2+e^x \left(-2 x-x^2\right)\right) \log (x)}{108 x^3-108 x^5+36 x^7-4 x^9+\left(108 x^2-72 x^4+12 x^6\right) \log (x)+\left(36 x-12 x^3\right) \log ^2(x)+4 \log ^3(x)} \, dx","Integrate[(-2*x^2 + 3*x^3 + 3*x^5 + E^x*(2*x - 3*x^3 - 4*x^4 + x^5) + (3*x^2 + E^x*(-2*x - x^2))*Log[x])/(108*x^3 - 108*x^5 + 36*x^7 - 4*x^9 + (108*x^2 - 72*x^4 + 12*x^6)*Log[x] + (36*x - 12*x^3)*Log[x]^2 + 4*Log[x]^3),x]","-\frac{\left(e^x-x\right) x^2}{4 \left(-x^3+3 x+\log (x)\right)^2}","\frac{\frac{\left(x-e^x\right) x}{4 \left(x^2-\frac{\log (x)}{x}-3\right)^2}+x}{x}",1,"-1/4*((E^x - x)*x^2)/(3*x - x^3 + Log[x])^2","A",1
4483,1,39,19,0.0494244,"\int \frac{e^{1+6 x} \left(30 e^{8-2 x}-20 e^{4-x}\right)}{16+25 e^{8-2 x}-40 e^{4-x}} \, dx","Integrate[(E^(1 + 6*x)*(30*E^(8 - 2*x) - 20*E^(4 - x)))/(16 + 25*E^(8 - 2*x) - 40*E^(4 - x)),x]","-\frac{-12500 e^{x+25}+4096 e^{6 x+5}+15625 e^{29}}{4096 \left(4 e^x-5 e^4\right)}","\frac{e^{6 x+1}}{5-4 e^{x-4}}",1,"-1/4096*(15625*E^29 - 12500*E^(25 + x) + 4096*E^(5 + 6*x))/(-5*E^4 + 4*E^x)","B",1
4484,1,21,21,0.0160336,"\int e^{-10-x^2} \left(e^{4+x^2} \left(-e^6-e^{6+x}\right)-2 x \log (4)\right) \, dx","Integrate[E^(-10 - x^2)*(E^(4 + x^2)*(-E^6 - E^(6 + x)) - 2*x*Log[4]),x]","e^{-x^2-10} \log (4)-x-e^x","e^{-x^2-10} \log (4)-x-e^x",1,"-E^x - x + E^(-10 - x^2)*Log[4]","A",1
4485,1,38,32,0.3948487,"\int \exp \left(\exp \left(e^{2-e^{-4+x}+x} (-15-15 x)-2 x-3 x^2+e^5 (3+3 x)\right)+e^{2-e^{-4+x}+x} (-15-15 x)-2 x-3 x^2+e^5 (3+3 x)\right) \left(-2+3 e^5-6 x+e^{2-e^{-4+x}+x} \left(-30-15 x+e^{-4+x} (15+15 x)\right)\right) \, dx","Integrate[E^(E^(E^(2 - E^(-4 + x) + x)*(-15 - 15*x) - 2*x - 3*x^2 + E^5*(3 + 3*x)) + E^(2 - E^(-4 + x) + x)*(-15 - 15*x) - 2*x - 3*x^2 + E^5*(3 + 3*x))*(-2 + 3*E^5 - 6*x + E^(2 - E^(-4 + x) + x)*(-30 - 15*x + E^(-4 + x)*(15 + 15*x))),x]","\exp \left(\exp \left(-15 e^{x-e^{x-4}+2} (x+1)+3 e^5 (x+1)-x (3 x+2)\right)\right)","\exp \left(e^{x-3 (x+1) \left(x+5 e^{x-e^{x-4}+2}-e^5\right)}\right)",1,"E^E^(3*E^5*(1 + x) - 15*E^(2 - E^(-4 + x) + x)*(1 + x) - x*(2 + 3*x))","A",1
4486,1,35,32,0.0706139,"\int \frac{6+13 x+6 x^2+x^3+e (2+x)+\left(-2 x^2-x^3\right) \log \left(\frac{e^{e^4}}{x}\right)}{2 x^2+x^3} \, dx","Integrate[(6 + 13*x + 6*x^2 + x^3 + E*(2 + x) + (-2*x^2 - x^3)*Log[E^E^4/x])/(2*x^2 + x^3),x]","-e^4 x-\frac{e}{x}-\frac{3}{x}+x \left(-\log \left(\frac{1}{x}\right)\right)+5 \log (x)-\log (x+2)","\frac{x-e-3}{x}-(x+5) \log \left(\frac{e^{e^4}}{x}\right)-\log (x+2)",1,"-3/x - E/x - E^4*x - x*Log[x^(-1)] + 5*Log[x] - Log[2 + x]","A",1
4487,1,35,25,0.4468456,"\int \frac{e^{5-2 e^4+6 x} (-1+6 x)+e^2 \log (2)}{e^{6-4 e^4+12 x}+x^2+e^{3-2 e^4+6 x} (-2 x-2 \log (2))+2 x \log (2)+\log ^2(2)} \, dx","Integrate[(E^(5 - 2*E^4 + 6*x)*(-1 + 6*x) + E^2*Log[2])/(E^(6 - 4*E^4 + 12*x) + x^2 + E^(3 - 2*E^4 + 6*x)*(-2*x - 2*Log[2]) + 2*x*Log[2] + Log[2]^2),x]","\frac{e^{2+2 e^4} x}{e^{2 e^4} (x+\log (2))-e^{6 x+3}}","\frac{e^2 x}{x-e^{6 x-2 e^4+3}+\log (2)}",1,"(E^(2 + 2*E^4)*x)/(-E^(3 + 6*x) + E^(2*E^4)*(x + Log[2]))","A",1
4488,1,38,22,0.2884756,"\int \left(-1+5^{-x} \left(3 x-4 x \log (5)+x \log ^2(5)\right)^x \left(1+x+x \log \left(\frac{1}{5} \left(3 x-4 x \log (5)+x \log ^2(5)\right)\right)\right)\right) \, dx","Integrate[-1 + ((3*x - 4*x*Log[5] + x*Log[5]^2)^x*(1 + x + x*Log[(3*x - 4*x*Log[5] + x*Log[5]^2)/5]))/5^x,x]","\frac{5^{-x} \left(x \left(3+\log ^2(5)-4 \log (5)\right)\right)^{x+1}}{3+\log ^2(5)-4 \log (5)}-x","x \left(5^{-x} \left(x \left((\log (5)-2)^2-1\right)\right)^x-1\right)",1,"-x + (x*(3 - 4*Log[5] + Log[5]^2))^(1 + x)/(5^x*(3 - 4*Log[5] + Log[5]^2))","A",1
4489,1,33,31,0.1795117,"\int \frac{e^{e^{\frac{x^4-6 x^2 \log (x)+9 \log ^2(x)}{x^2}}} \left(3 x^2+9 x^4+e^{\frac{x^4-6 x^2 \log (x)+9 \log ^2(x)}{x^2}} \left(-18 x^2+60 x^4-18 x^6+\left(54-162 x^2\right) \log (x)+\left(-54+162 x^2\right) \log ^2(x)\right)\right)}{x^2-6 x^4+9 x^6} \, dx","Integrate[(E^E^((x^4 - 6*x^2*Log[x] + 9*Log[x]^2)/x^2)*(3*x^2 + 9*x^4 + E^((x^4 - 6*x^2*Log[x] + 9*Log[x]^2)/x^2)*(-18*x^2 + 60*x^4 - 18*x^6 + (54 - 162*x^2)*Log[x] + (-54 + 162*x^2)*Log[x]^2)))/(x^2 - 6*x^4 + 9*x^6),x]","-\frac{3 x e^{\frac{e^{x^2+\frac{9 \log ^2(x)}{x^2}}}{x^6}}}{3 x^2-1}","\frac{e^{e^{\left(\frac{3 \log (x)}{x}-x\right)^2}}}{\frac{1}{3 x}-x}",1,"(-3*E^(E^(x^2 + (9*Log[x]^2)/x^2)/x^6)*x)/(-1 + 3*x^2)","A",1
4490,1,34,22,0.0000792,"\int \frac{-2+3 e^{4/5}}{3+3 e^{4/5}} \, dx","Integrate[(-2 + 3*E^(4/5))/(3 + 3*E^(4/5)),x]","\frac{3 e^{4/5} x}{3+3 e^{4/5}}-\frac{2 x}{3+3 e^{4/5}}","x-\frac{5 (4-x)}{3 \left(-1-e^{4/5}\right)}",1,"(-2*x)/(3 + 3*E^(4/5)) + (3*E^(4/5)*x)/(3 + 3*E^(4/5))","A",1
4491,1,33,27,0.0253373,"\int \frac{-e^3-x^2-16 x^3+3 x^4+x^2 \log (\log (3))}{e^3 x-x^2-x^3-8 x^4+x^5+x^3 \log (\log (3))} \, dx","Integrate[(-E^3 - x^2 - 16*x^3 + 3*x^4 + x^2*Log[Log[3]])/(E^3*x - x^2 - x^3 - 8*x^4 + x^5 + x^3*Log[Log[3]]),x]","\log \left(x^4-8 x^3-x^2+x^2 \log (\log (3))-x+e^3\right)-\log (x)","\log \left(x \left(\left(-\frac{e^3}{x^3}-x+8\right) x-\log (\log (3))\right)+x+1\right)",1,"-Log[x] + Log[E^3 - x - x^2 - 8*x^3 + x^4 + x^2*Log[Log[3]]]","A",1
4492,1,16,17,0.0054237,"\int \frac{2 \log \left(\frac{1}{120} \left(x+240 e^{e^{10}} x\right)\right)}{x} \, dx","Integrate[(2*Log[(x + 240*E^E^10*x)/120])/x,x]","\log ^2\left(\left(\frac{1}{120}+2 e^{e^{10}}\right) x\right)","\log ^2\left(2 e^{e^{10}} x+\frac{x}{120}\right)",1,"Log[(1/120 + 2*E^E^10)*x]^2","A",1
4493,1,13,18,0.0056764,"\int \frac{5-5 x-4 e^x x}{5 x} \, dx","Integrate[(5 - 5*x - 4*E^x*x)/(5*x),x]","-x-\frac{4 e^x}{5}+\log (x)","-x-\frac{4 e^x}{5}+\log \left(\frac{x}{9}\right)+2",1,"(-4*E^x)/5 - x + Log[x]","A",1
4494,1,7,18,0.0000667,"\int \left(2 x+3 x^2\right) \, dx","Integrate[2*x + 3*x^2,x]","x^3+x^2","(x+2) x^2-x^2+1-4 \log (2)",1,"x^2 + x^3","A",1
4495,1,26,34,0.0306994,"\int \frac{2-x+\left(-x-2 x^2\right) \log \left(\frac{x}{3+6 x}\right)}{x+2 x^2} \, dx","Integrate[(2 - x + (-x - 2*x^2)*Log[x/(3 + 6*x)])/(x + 2*x^2),x]","2 \log (x)-2 \log (2 x+1)-x \log \left(\frac{x}{6 x+3}\right)","\frac{\left(2 x-x^2\right) \log \left(\frac{x^2}{3 \left(2 x^2+x\right)}\right)}{x}-2+\log (4)",1,"2*Log[x] - 2*Log[1 + 2*x] - x*Log[x/(3 + 6*x)]","A",1
4496,1,15,15,0.0248159,"\int \frac{-8-5 x+(2+x) \log (2+x)}{800 x^2+400 x^3} \, dx","Integrate[(-8 - 5*x + (2 + x)*Log[2 + x])/(800*x^2 + 400*x^3),x]","\frac{4-\log (x+2)}{400 x}","\frac{4-\log (x+2)}{400 x}",1,"(4 - Log[2 + x])/(400*x)","A",1
4497,1,28,28,0.3939004,"\int \frac{e^{2 x} (-5+x)^2 \left(30+42 x-12 x^2+e^{-4+x} \left(-15-6 x+3 x^2\right)\right)}{4 \left(-20+e^{-4+x} (20-4 x)+e^{-8+2 x} (-5+x)+4 x\right)} \, dx","Integrate[(E^(2*x)*(-5 + x)^2*(30 + 42*x - 12*x^2 + E^(-4 + x)*(-15 - 6*x + 3*x^2)))/(4*(-20 + E^(-4 + x)*(20 - 4*x) + E^(-8 + 2*x)*(-5 + x) + 4*x)),x]","\frac{3 e^{2 x+4} (x-5)^2 x}{4 \left(e^x-2 e^4\right)}","\frac{3 x e^{2 \left(x-\log \left(\frac{2}{x-5}\right)\right)}}{e^{x-4}-2}",1,"(3*E^(4 + 2*x)*(-5 + x)^2*x)/(4*(-2*E^4 + E^x))","A",1
4498,1,40,35,0.0840998,"\int \frac{\exp \left(\frac{x+\left(3+3 e^x+12 x-3 x^2\right) \log \left(\frac{x+2 \log (\log (4))}{\log (\log (4))}\right)}{3+3 e^x+12 x-3 x^2}\right) \left(3+3 e^{2 x}+25 x+42 x^2-23 x^3+3 x^4+e^x \left(6+25 x-7 x^2\right)+\left(2+e^x (2-2 x)+2 x^2\right) \log (\log (4))\right)}{3 x+3 e^{2 x} x+24 x^2+42 x^3-24 x^4+3 x^5+e^x \left(6 x+24 x^2-6 x^3\right)+\left(6+6 e^{2 x}+48 x+84 x^2-48 x^3+6 x^4+e^x \left(12+48 x-12 x^2\right)\right) \log (\log (4))} \, dx","Integrate[(E^((x + (3 + 3*E^x + 12*x - 3*x^2)*Log[(x + 2*Log[Log[4]])/Log[Log[4]]])/(3 + 3*E^x + 12*x - 3*x^2))*(3 + 3*E^(2*x) + 25*x + 42*x^2 - 23*x^3 + 3*x^4 + E^x*(6 + 25*x - 7*x^2) + (2 + E^x*(2 - 2*x) + 2*x^2)*Log[Log[4]]))/(3*x + 3*E^(2*x)*x + 24*x^2 + 42*x^3 - 24*x^4 + 3*x^5 + E^x*(6*x + 24*x^2 - 6*x^3) + (6 + 6*E^(2*x) + 48*x + 84*x^2 - 48*x^3 + 6*x^4 + E^x*(12 + 48*x - 12*x^2))*Log[Log[4]]),x]","\frac{e^{\frac{x}{3 \left(-x^2+4 x+e^x+1\right)}} (3 x+6 \log (\log (4)))}{3 \log (\log (4))}","e^{-\frac{x}{3 \left(x \left(x-\frac{1}{x}-4\right)-e^x\right)}} \left(\frac{x}{\log (\log (4))}+2\right)",1,"(E^(x/(3*(1 + E^x + 4*x - x^2)))*(3*x + 6*Log[Log[4]]))/(3*Log[Log[4]])","A",1
4499,1,28,27,1.2041436,"\int \frac{-839808 x-2239488 x^2-2620512 x^3-1670400 x^4-595968 x^5-110592 x^6-8192 x^7+e^{8 x} \left(-13436928 x-53747712 x^2-10077696 x^3+13436928 x^4\right)+e^{6 x} \left(-26873856 x-98537472 x^2-55987200 x^3+12690432 x^4+8957952 x^5\right)+e^{4 x} \left(-20155392 x-67184640 x^2-58910976 x^3-9082368 x^4+6967296 x^5+1990656 x^6\right)+e^{2 x} \left(-6718464 x-20155392 x^2-21959424 x^3-9374976 x^4-340992 x^5+774144 x^6+147456 x^7\right)}{-6718464+8398080 x^2-4199040 x^4+1049760 x^6-131220 x^8+6561 x^{10}} \, dx","Integrate[(-839808*x - 2239488*x^2 - 2620512*x^3 - 1670400*x^4 - 595968*x^5 - 110592*x^6 - 8192*x^7 + E^(8*x)*(-13436928*x - 53747712*x^2 - 10077696*x^3 + 13436928*x^4) + E^(6*x)*(-26873856*x - 98537472*x^2 - 55987200*x^3 + 12690432*x^4 + 8957952*x^5) + E^(4*x)*(-20155392*x - 67184640*x^2 - 58910976*x^3 - 9082368*x^4 + 6967296*x^5 + 1990656*x^6) + E^(2*x)*(-6718464*x - 20155392*x^2 - 21959424*x^3 - 9374976*x^4 - 340992*x^5 + 774144*x^6 + 147456*x^7))/(-6718464 + 8398080*x^2 - 4199040*x^4 + 1049760*x^6 - 131220*x^8 + 6561*x^10),x]","\frac{16 x^2 \left(4 x+18 e^{2 x}+9\right)^4}{6561 \left(x^2-4\right)^4}","\frac{\left(\frac{8 x}{9}+4 e^{2 x}+2\right)^4 x^2}{\left(x^2-4\right)^4}",1,"(16*x^2*(9 + 18*E^(2*x) + 4*x)^4)/(6561*(-4 + x^2)^4)","A",1
4500,1,27,24,0.0371403,"\int \frac{-2+\left(2 x+e^{4 x^2} \left(1+8 x^2\right)\right) \log (x)-\log (x) \log \left(\frac{1}{12} x \log ^2(x)\right)}{\log (x)} \, dx","Integrate[(-2 + (2*x + E^(4*x^2)*(1 + 8*x^2))*Log[x] - Log[x]*Log[(x*Log[x]^2)/12])/Log[x],x]","x^2+e^{4 x^2} x+x-x \log \left(\frac{1}{12} x \log ^2(x)\right)","x \left(e^{4 x^2}+x-\log \left(\frac{1}{12} x \log ^2(x)\right)+1\right)",1,"x + E^(4*x^2)*x + x^2 - x*Log[(x*Log[x]^2)/12]","A",1
4501,1,22,21,0.1852106,"\int \frac{e^{-\frac{x+(-2+x) \log (9 \log (x))}{-2+x}} \left(-4+4 x-x^2+\left(-4+6 x-x^2\right) \log (x)\right)}{\left(20 x^2-20 x^3+5 x^4\right) \log (x)} \, dx","Integrate[(-4 + 4*x - x^2 + (-4 + 6*x - x^2)*Log[x])/(E^((x + (-2 + x)*Log[9*Log[x]])/(-2 + x))*(20*x^2 - 20*x^3 + 5*x^4)*Log[x]),x]","\frac{e^{-\frac{2}{x-2}-1}}{45 x \log (x)}","\frac{e^{-\frac{x}{x-2}}}{45 x \log (x)}",1,"E^(-1 - 2/(-2 + x))/(45*x*Log[x])","A",1
4502,1,23,24,0.1602446,"\int \frac{5 e^{4 x}+e^{4 x} (-5-20 x) \log (x)-11 \log ^2(x)+5 e^{e^x+x} \log ^2(x)}{5 \log ^2(x)} \, dx","Integrate[(5*E^(4*x) + E^(4*x)*(-5 - 20*x)*Log[x] - 11*Log[x]^2 + 5*E^(E^x + x)*Log[x]^2)/(5*Log[x]^2),x]","-\frac{11 x}{5}+e^{e^x}-\frac{e^{4 x} x}{\log (x)}","-\frac{11 x}{5}+e^{e^x}-\frac{e^{4 x} x}{\log (x)}-1",1,"E^E^x - (11*x)/5 - (E^(4*x)*x)/Log[x]","A",1
4503,0,0,19,0.408207,"\int e^{e^{4-6 x+6 x^2}-x} \left(-e^2+e^{6-6 x+6 x^2} (-6+12 x)\right) \, dx","Integrate[E^(E^(4 - 6*x + 6*x^2) - x)*(-E^2 + E^(6 - 6*x + 6*x^2)*(-6 + 12*x)),x]","\int e^{e^{4-6 x+6 x^2}-x} \left(-e^2+e^{6-6 x+6 x^2} (-6+12 x)\right) \, dx","e^{e^{6 x^2-6 x+4}-x+2}",1,"Integrate[E^(E^(4 - 6*x + 6*x^2) - x)*(-E^2 + E^(6 - 6*x + 6*x^2)*(-6 + 12*x)), x]","F",-1
4504,1,25,27,1.6643479,"\int \frac{\exp \left(2+4 e^{e^x}+\frac{e^{2+4 e^{e^x}} (2+2 x)^2}{(3+x)^2}\right) (2+2 x)^2 \left(4+e^{e^x+x} \left(12+16 x+4 x^2\right)\right)}{(3+x)^2 \left(3+4 x+x^2\right)} \, dx","Integrate[(E^(2 + 4*E^E^x + (E^(2 + 4*E^E^x)*(2 + 2*x)^2)/(3 + x)^2)*(2 + 2*x)^2*(4 + E^(E^x + x)*(12 + 16*x + 4*x^2)))/((3 + x)^2*(3 + 4*x + x^2)),x]","e^{\frac{4 e^{4 e^{e^x}+2} (x+1)^2}{(x+3)^2}}","e^{\frac{4 e^{4 e^{e^x}+2} (x+1)^2}{(x+3)^2}}-5",1,"E^((4*E^(2 + 4*E^E^x)*(1 + x)^2)/(3 + x)^2)","A",1
4505,1,27,29,0.0871106,"\int \frac{e^x \left(1+e^4 (32-16 x)+\left(1+e^4 (16-16 x)\right) \log (3)\right)+e^x \left(-1+e^4 (-16+16 x)\right) \log \left(-\frac{400}{-1+e^4 (-16+16 x)}\right)}{-1+e^4 (-16+16 x)+\left(-2+e^4 (-32+32 x)\right) \log (3)+\left(-1+e^4 (-16+16 x)\right) \log ^2(3)+\left(2+e^4 (32-32 x)+\left(2+e^4 (32-32 x)\right) \log (3)\right) \log \left(-\frac{400}{-1+e^4 (-16+16 x)}\right)+\left(-1+e^4 (-16+16 x)\right) \log ^2\left(-\frac{400}{-1+e^4 (-16+16 x)}\right)} \, dx","Integrate[(E^x*(1 + E^4*(32 - 16*x) + (1 + E^4*(16 - 16*x))*Log[3]) + E^x*(-1 + E^4*(-16 + 16*x))*Log[-400/(-1 + E^4*(-16 + 16*x))])/(-1 + E^4*(-16 + 16*x) + (-2 + E^4*(-32 + 32*x))*Log[3] + (-1 + E^4*(-16 + 16*x))*Log[3]^2 + (2 + E^4*(32 - 32*x) + (2 + E^4*(32 - 32*x))*Log[3])*Log[-400/(-1 + E^4*(-16 + 16*x))] + (-1 + E^4*(-16 + 16*x))*Log[-400/(-1 + E^4*(-16 + 16*x))]^2),x]","\frac{e^x}{\log \left(-\frac{400}{16 e^4 (x-1)-1}\right)-1-\log (3)}","\frac{e^x}{\log \left(\frac{25}{\frac{1}{16}-e^4 (x-1)}\right)-1-\log (3)}",1,"E^x/(-1 - Log[3] + Log[-400/(-1 + 16*E^4*(-1 + x))])","A",1
4506,1,24,22,0.199964,"\int \frac{\exp \left(e^{\frac{10-4 x^2-5 \log (\log (5))}{4 x^2}}+\frac{10-4 x^2-5 \log (\log (5))}{4 x^2}\right) (-10+5 \log (\log (5)))}{2 x^3} \, dx","Integrate[(E^(E^((10 - 4*x^2 - 5*Log[Log[5]])/(4*x^2)) + (10 - 4*x^2 - 5*Log[Log[5]])/(4*x^2))*(-10 + 5*Log[Log[5]]))/(2*x^3),x]","e^{e^{\frac{5}{2 x^2}-1} \log ^{-\frac{5}{4 x^2}}(5)}","e^{e^{\frac{5 (2-\log (\log (5)))}{4 x^2}-1}}-3",1,"E^(E^(-1 + 5/(2*x^2))/Log[5]^(5/(4*x^2)))","A",1
4507,1,23,21,0.3236446,"\int \frac{e^{-6+x^2+2 e^{4/x} x^2+e^{8/x} x^2} \left(e^2 \left(-1+2 x^2\right)+e^{2+\frac{8}{x}} \left(-8 x+2 x^2\right)+e^{2+\frac{4}{x}} \left(-8 x+4 x^2\right)\right)}{x^2} \, dx","Integrate[(E^(-6 + x^2 + 2*E^(4/x)*x^2 + E^(8/x)*x^2)*(E^2*(-1 + 2*x^2) + E^(2 + 8/x)*(-8*x + 2*x^2) + E^(2 + 4/x)*(-8*x + 4*x^2)))/x^2,x]","\frac{e^{\left(e^{4/x}+1\right)^2 x^2-4}}{x}","\frac{e^{\left(e^{4/x} x+x\right)^2-4}}{x}",1,"E^(-4 + (1 + E^(4/x))^2*x^2)/x","A",1
4508,1,19,19,0.0113758,"\int \frac{3-3 x+x^2+(-3+2 x) \log (49)+\log ^2(49)}{-3 x+x^2+(-3+2 x) \log (49)+\log ^2(49)} \, dx","Integrate[(3 - 3*x + x^2 + (-3 + 2*x)*Log[49] + Log[49]^2)/(-3*x + x^2 + (-3 + 2*x)*Log[49] + Log[49]^2),x]","x+\log (-x+3-\log (49))-\log (x+\log (49))","x+\log \left(\frac{2}{3}-\frac{2}{x+\log (49)}\right)+e^{10}+2",1,"x + Log[3 - x - Log[49]] - Log[x + Log[49]]","A",1
4509,1,25,25,0.9342867,"\int \frac{e^x \left(162-5832 x+1458 x^2+729 x^3\right)+e^x \left(-81 x+2916 x^2-729 x^3\right) \log (x)}{-46656 x^4-34992 x^5-8748 x^6-729 x^7+\left(3888 x^3+1944 x^4+35235 x^5+17496 x^6+2187 x^7\right) \log (x)+\left(-108 x^2-27 x^3-1944 x^4-486 x^5-8748 x^6-2187 x^7\right) \log ^2(x)+\left(x+27 x^3+243 x^5+729 x^7\right) \log ^3(x)} \, dx","Integrate[(E^x*(162 - 5832*x + 1458*x^2 + 729*x^3) + E^x*(-81*x + 2916*x^2 - 729*x^3)*Log[x])/(-46656*x^4 - 34992*x^5 - 8748*x^6 - 729*x^7 + (3888*x^3 + 1944*x^4 + 35235*x^5 + 17496*x^6 + 2187*x^7)*Log[x] + (-108*x^2 - 27*x^3 - 1944*x^4 - 486*x^5 - 8748*x^6 - 2187*x^7)*Log[x]^2 + (x + 27*x^3 + 243*x^5 + 729*x^7)*Log[x]^3),x]","-\frac{81 e^x}{\left(-9 x^2+9 x^2 \log (x)-36 x+\log (x)\right)^2}","-\frac{e^x}{\left(\frac{\log (x)}{9}+x (-x+x \log (x)-4)\right)^2}",1,"(-81*E^x)/(-36*x - 9*x^2 + Log[x] + 9*x^2*Log[x])^2","A",1
4510,1,18,16,0.0730739,"\int \left(e^{2 x} \left(-6 x-6 x^2\right)+e^x \left(-18 x-6 x^2+x^3\right)\right) \, dx","Integrate[E^(2*x)*(-6*x - 6*x^2) + E^x*(-18*x - 6*x^2 + x^3),x]","-e^x \left(-x+3 e^x+9\right) x^2","e^x x^2 \left(x-3 \left(e^x+3\right)\right)",1,"-(E^x*(9 + 3*E^x - x)*x^2)","A",1
4511,1,24,32,0.0330112,"\int \frac{5 x-10 x^2+5 x^3+e^2 \left(4 x^2-2 x^3\right)+\left(2-4 x+2 x^2\right) \log (5)}{x-2 x^2+x^3} \, dx","Integrate[(5*x - 10*x^2 + 5*x^3 + E^2*(4*x^2 - 2*x^3) + (2 - 4*x + 2*x^2)*Log[5])/(x - 2*x^2 + x^3),x]","e^2 \left(-2 x-\frac{2}{x-1}\right)+5 x+\log (25) \log (x)","2 \left(\frac{e^2 x^2}{1-x}+2 x-\log (5) (5-\log (x))\right)+x",1,"E^2*(-2/(-1 + x) - 2*x) + 5*x + Log[25]*Log[x]","A",1
4512,1,21,20,0.0125405,"\int \frac{-5-4 x^2}{5 x+80 x^2-4 x^3+6 x^2 \log (2)} \, dx","Integrate[(-5 - 4*x^2)/(5*x + 80*x^2 - 4*x^3 + 6*x^2*Log[2]),x]","\log \left(-4 x^2+80 x+2 x \log (8)+5\right)-\log (x)","\log \left(x-4 \left(\frac{5}{16 x}+5+\frac{3 \log (2)}{8}\right)\right)",1,"-Log[x] + Log[5 + 80*x - 4*x^2 + 2*x*Log[8]]","A",1
4513,1,16,23,0.0027025,"\int \frac{-2-8 x-x^2 \log (x)}{x^2} \, dx","Integrate[(-2 - 8*x - x^2*Log[x])/x^2,x]","x+\frac{2}{x}+x (-\log (x))-8 \log (x)","-4 \log \left(x^2 (3+\log (5))\right)+x+\frac{2}{x}+x (-\log (x))",1,"2/x + x - 8*Log[x] - x*Log[x]","A",1
4514,1,22,19,0.0054051,"\int \frac{1}{6} \left(9 x^2+18 e^4 x^2+24 x^3-22 x^{10}\right) \, dx","Integrate[(9*x^2 + 18*E^4*x^2 + 24*x^3 - 22*x^10)/6,x]","\frac{1}{6} x^3 \left(-2 x^8+6 x+6 e^4+3\right)","x^3 \left(-\frac{x^8}{3}+x+e^4+\frac{1}{2}\right)",1,"(x^3*(3 + 6*E^4 + 6*x - 2*x^8))/6","A",1
4515,1,24,24,0.0938867,"\int \frac{-45+30 x-48 x^2+\left(-45+96 x^2\right) \log \left(x^2\right)-48 x^2 \log ^2\left(x^2\right)}{5 x^2-10 x^2 \log \left(x^2\right)+5 x^2 \log ^2\left(x^2\right)} \, dx","Integrate[(-45 + 30*x - 48*x^2 + (-45 + 96*x^2)*Log[x^2] - 48*x^2*Log[x^2]^2)/(5*x^2 - 10*x^2*Log[x^2] + 5*x^2*Log[x^2]^2),x]","\frac{1}{5} \left(-\frac{15 (x-3)}{x \left(\log \left(x^2\right)-1\right)}-48 x\right)","\frac{3 (3-x)}{x \left(\log \left(x^2\right)-1\right)}-\frac{48 x}{5}",1,"(-48*x - (15*(-3 + x))/(x*(-1 + Log[x^2])))/5","A",1
4516,1,26,24,0.0958585,"\int \frac{e (-24-8 x)+42 x^2+\left(-18 x^2+e (24+8 x)\right) \log (x)+e (-6-2 x) \log ^2(x)}{4 e-4 e \log (x)+e \log ^2(x)} \, dx","Integrate[(E*(-24 - 8*x) + 42*x^2 + (-18*x^2 + E*(24 + 8*x))*Log[x] + E*(-6 - 2*x)*Log[x]^2)/(4*E - 4*E*Log[x] + E*Log[x]^2),x]","-\frac{2 \left(\frac{3 x^3}{\log (x)-2}+\frac{1}{2} e (x+6) x\right)}{e}","x \left(3 \left(-\frac{2 x^2}{e (\log (x)-2)}-2\right)-x\right)",1,"(-2*((E*x*(6 + x))/2 + (3*x^3)/(-2 + Log[x])))/E","A",1
4517,1,38,27,0.3380619,"\int \frac{e^{\frac{4}{2+e^{\frac{2}{81} \left(4-36 \log (x)+81 \log ^2(x)\right)}}} \left(72+18 e^{\frac{4}{81} \left(4-36 \log (x)+81 \log ^2(x)\right)}+e^{\frac{2}{81} \left(4-36 \log (x)+81 \log ^2(x)\right)} (136-288 \log (x))\right)}{36 \log (2)+36 e^{\frac{2}{81} \left(4-36 \log (x)+81 \log ^2(x)\right)} \log (2)+9 e^{\frac{4}{81} \left(4-36 \log (x)+81 \log ^2(x)\right)} \log (2)} \, dx","Integrate[(E^(4/(2 + E^((2*(4 - 36*Log[x] + 81*Log[x]^2))/81)))*(72 + 18*E^((4*(4 - 36*Log[x] + 81*Log[x]^2))/81) + E^((2*(4 - 36*Log[x] + 81*Log[x]^2))/81)*(136 - 288*Log[x])))/(36*Log[2] + 36*E^((2*(4 - 36*Log[x] + 81*Log[x]^2))/81)*Log[2] + 9*E^((4*(4 - 36*Log[x] + 81*Log[x]^2))/81)*Log[2]),x]","\frac{2 x e^{\frac{4 x^{8/9}}{2 x^{8/9}+e^{2 \log ^2(x)+\frac{8}{81}}}}}{\log (2)}","\frac{2 x e^{\frac{4}{e^{2 \left(\log (x)-\frac{2}{9}\right)^2}+2}}}{\log (2)}",1,"(2*E^((4*x^(8/9))/(E^(8/81 + 2*Log[x]^2) + 2*x^(8/9)))*x)/Log[2]","A",1
4518,1,20,30,0.2498031,"\int \frac{90+56 x-5 x^2-30 \log (x)}{576 x^2+240 x^3+25 x^4+\left(-288 x^2-60 x^3\right) \log (x)+36 x^2 \log ^2(x)} \, dx","Integrate[(90 + 56*x - 5*x^2 - 30*Log[x])/(576*x^2 + 240*x^3 + 25*x^4 + (-288*x^2 - 60*x^3)*Log[x] + 36*x^2*Log[x]^2),x]","\frac{5-x}{x (-5 x+6 \log (x)-24)}","-\frac{5-x}{x (6 (x-\log (x)+4)-x)}-\log (5)",1,"(5 - x)/(x*(-24 - 5*x + 6*Log[x]))","A",1
4519,1,29,26,0.381011,"\int \frac{1+2 x-6 x^2+\frac{1}{2} e^{-5+e^4+x} \left(2 x+7 x^2+2 x^3\right)}{x+x^2-2 x^3+\frac{1}{2} e^{-5+e^4+x} \left(x^2+2 x^3\right)} \, dx","Integrate[(1 + 2*x - 6*x^2 + (E^(-5 + E^4 + x)*(2*x + 7*x^2 + 2*x^3))/2)/(x + x^2 - 2*x^3 + (E^(-5 + E^4 + x)*(x^2 + 2*x^3))/2),x]","\log (x)+\log (2 x+1)+\log \left(2 e^5 (x-1)-e^{x+e^4} x\right)","\log \left(x (2 x+1) \left(\frac{1}{2} e^{x+e^4-5} x-x+1\right)\right)",1,"Log[x] + Log[1 + 2*x] + Log[2*E^5*(-1 + x) - E^(E^4 + x)*x]","A",1
4520,1,54,38,0.0487398,"\int \frac{128 e^8 x-16 e^8 x^2 (i \pi +\log (-\log (2 \log (\log (5)))))}{256 e^8-32 e^4 x^2+x^4+\left(-128 e^8 x+8 e^4 x^3\right) (i \pi +\log (-\log (2 \log (\log (5)))))+16 e^8 x^2 (i \pi +\log (-\log (2 \log (\log (5)))))^2} \, dx","Integrate[(128*E^8*x - 16*E^8*x^2*(I*Pi + Log[-Log[2*Log[Log[5]]]]))/(256*E^8 - 32*E^4*x^2 + x^4 + (-128*E^8*x + 8*E^4*x^3)*(I*Pi + Log[-Log[2*Log[Log[5]]]]) + 16*E^8*x^2*(I*Pi + Log[-Log[2*Log[Log[5]]]])^2),x]","\frac{16 e^8 (i \pi  x+x \log (-\log (2 \log (\log (5))))-4)}{x^2+4 e^4 (i \pi  x+x \log (-\log (2 \log (\log (5))))-4)}","\frac{x}{\frac{16-\frac{x^2}{e^4}}{4 x}-i \pi -\log (-\log (2 \log (\log (5))))}",1,"(16*E^8*(-4 + I*Pi*x + x*Log[-Log[2*Log[Log[5]]]]))/(x^2 + 4*E^4*(-4 + I*Pi*x + x*Log[-Log[2*Log[Log[5]]]]))","A",1
4521,1,152,34,0.0203608,"\int \frac{-200000000 x^2-125000000 x^3+2500000 x^5+120000 x^6+37500 x^7+1600 x^8+6 x^{10}+e^{32} \left(-10000000000-200000000 x^2+20000 x^6+100 x^8\right)+e^{16} \left(-3000000000 x-1250000000 x^2-40000000 x^3+600000 x^5+125000 x^6+12000 x^7+50 x^9\right)}{9765625 x^5} \, dx","Integrate[(-200000000*x^2 - 125000000*x^3 + 2500000*x^5 + 120000*x^6 + 37500*x^7 + 1600*x^8 + 6*x^10 + E^32*(-10000000000 - 200000000*x^2 + 20000*x^6 + 100*x^8) + E^16*(-3000000000*x - 1250000000*x^2 - 40000000*x^3 + 600000*x^5 + 125000*x^6 + 12000*x^7 + 50*x^9))/(9765625*x^5),x]","\frac{x^6}{9765625}+\frac{2 e^{16} x^5}{1953125}+\frac{e^{32} x^4}{390625}+\frac{16 x^4}{390625}+\frac{256 e^{32}}{x^4}+\frac{32 e^{16} x^3}{78125}+\frac{4 x^3}{3125}+\frac{512 e^{16}}{5 x^3}+\frac{16 e^{32} x^2}{15625}+\frac{4 e^{16} x^2}{625}+\frac{96 x^2}{15625}+\frac{256 e^{32}}{25 x^2}+\frac{64 e^{16}}{x^2}+\frac{256}{25 x^2}+\frac{192 e^{16} x}{3125}+\frac{32 x}{125}+\frac{512 e^{16}}{125 x}+\frac{64}{5 x}","\frac{\left(\frac{\left(\frac{x}{5}+e^{16}\right) \left(\frac{x^2}{25}+4\right)^2}{x}+2 x\right)^2}{x^2}",1,"(256*E^32)/x^4 + (512*E^16)/(5*x^3) + 256/(25*x^2) + (64*E^16)/x^2 + (256*E^32)/(25*x^2) + 64/(5*x) + (512*E^16)/(125*x) + (32*x)/125 + (192*E^16*x)/3125 + (96*x^2)/15625 + (4*E^16*x^2)/625 + (16*E^32*x^2)/15625 + (4*x^3)/3125 + (32*E^16*x^3)/78125 + (16*x^4)/390625 + (E^32*x^4)/390625 + (2*E^16*x^5)/1953125 + x^6/9765625","B",1
4522,1,20,24,1.0129212,"\int e^{-17-e^{3^{\frac{x}{e^8}}} (-3+x)+3 x} \left(e^8 (1+3 x)+e^{3^{\frac{x}{e^8}}} \left(-e^8 x+3^{\frac{x}{e^8}} \left(3 x-x^2\right) \log (3)\right)\right) \, dx","Integrate[E^(-17 - E^3^(x/E^8)*(-3 + x) + 3*x)*(E^8*(1 + 3*x) + E^3^(x/E^8)*(-(E^8*x) + 3^(x/E^8)*(3*x - x^2)*Log[3])),x]","e^{-\left(\left(e^{3^{\frac{x}{e^8}}}-3\right) (x-3)\right)} x","e^{-\left(\left(3-e^{3^{\frac{x}{e^8}}}\right) (3-x)\right)} x",1,"x/E^((-3 + E^3^(x/E^8))*(-3 + x))","A",1
4523,1,6,9,0.0009647,"\int \frac{-2+x}{x} \, dx","Integrate[(-2 + x)/x,x]","x-2 \log (x)","\log \left(\frac{25}{x^2}\right)+x+3",1,"x - 2*Log[x]","A",1
4524,1,25,26,0.1245546,"\int \frac{e^{e^x} \left(-1+e^x (-8+x)+e^{x^2} \left(-e^x+2 x\right)\right)}{-256+64 x-4 x^2+e^{2 x^2} (-4+\log (3))+\left(64-16 x+x^2\right) \log (3)+e^{x^2} (-64+8 x+(16-2 x) \log (3))} \, dx","Integrate[(E^E^x*(-1 + E^x*(-8 + x) + E^x^2*(-E^x + 2*x)))/(-256 + 64*x - 4*x^2 + E^(2*x^2)*(-4 + Log[3]) + (64 - 16*x + x^2)*Log[3] + E^x^2*(-64 + 8*x + (16 - 2*x)*Log[3])),x]","-\frac{e^{e^x}}{\left(e^{x^2}-x+8\right) (\log (3)-4)}","\frac{e^{e^x}}{\left(e^{x^2}-x+8\right) (4-\log (3))}",1,"-(E^E^x/((8 + E^x^2 - x)*(-4 + Log[3])))","A",1
4525,1,17,24,0.002379,"\int \frac{-5+4 x+e^4 x}{5 x} \, dx","Integrate[(-5 + 4*x + E^4*x)/(5*x),x]","\frac{1}{5} \left(e^4 x+4 x-5 \log (x)\right)","\frac{1}{5} x \left(\frac{5 \left(x+\log \left(\frac{3}{x}\right)+2\right)}{x}+e^4-1\right)",1,"(4*x + E^4*x - 5*Log[x])/5","A",1
4526,1,31,25,0.0330308,"\int \frac{-25920-60480 x-52560 x^2-20160 x^3-2880 x^4+\left(-72-168 x-72 x^2\right) \log (2)}{180 x^2+420 x^3+365 x^4+140 x^5+20 x^6} \, dx","Integrate[(-25920 - 60480*x - 52560*x^2 - 20160*x^3 - 2880*x^4 + (-72 - 168*x - 72*x^2)*Log[2])/(180*x^2 + 420*x^3 + 365*x^4 + 140*x^5 + 20*x^6),x]","\frac{4 \left(1080 x^2+3780 x+3240+\log (512)\right)}{15 x \left(2 x^2+7 x+6\right)}","\frac{12 \left(\frac{\log (2)}{5 (x+2) (2 x+3)}+12\right)}{x}",1,"(4*(3240 + 3780*x + 1080*x^2 + Log[512]))/(15*x*(6 + 7*x + 2*x^2))","A",1
4527,1,25,25,0.2259745,"\int \frac{e^{\frac{2+x^3+x \log \left(\frac{5 \log \left(\frac{1}{x}\right)-5 \log (x)}{x}\right)}{x}} \left(2 x+\left(2+x-2 x^3\right) \log \left(\frac{1}{x}\right)+\left(-2-x+2 x^3\right) \log (x)\right)}{-x^2 \log \left(\frac{1}{x}\right)+x^2 \log (x)} \, dx","Integrate[(E^((2 + x^3 + x*Log[(5*Log[x^(-1)] - 5*Log[x])/x])/x)*(2*x + (2 + x - 2*x^3)*Log[x^(-1)] + (-2 - x + 2*x^3)*Log[x]))/(-(x^2*Log[x^(-1)]) + x^2*Log[x]),x]","\frac{5 e^{x^2+\frac{2}{x}} \left(\log \left(\frac{1}{x}\right)-\log (x)\right)}{x}","\frac{5 e^{x^2+\frac{2}{x}} \left(\log \left(\frac{1}{x}\right)-\log (x)\right)}{x}",1,"(5*E^(2/x + x^2)*(Log[x^(-1)] - Log[x]))/x","A",1
4528,1,16,13,0.0012021,"\int \left(1+e^2 (-4-4 x)\right) \, dx","Integrate[1 + E^2*(-4 - 4*x),x]","-2 e^2 x^2-4 e^2 x+x","-2 e^2 (x+2) x+x+\log (7)",1,"x - 4*E^2*x - 2*E^2*x^2","A",1
4529,1,22,24,0.2486359,"\int \frac{e^{e^{\frac{1}{x^2 \log ^2(2+\log (4))}}} \left(-2 e^{x+\frac{1}{x^2 \log ^2(2+\log (4))}}+e^x \left(x^2+x^3\right) \log ^2(2+\log (4))\right)}{8 x^2 \log ^2(2+\log (4))} \, dx","Integrate[(E^E^(1/(x^2*Log[2 + Log[4]]^2))*(-2*E^(x + 1/(x^2*Log[2 + Log[4]]^2)) + E^x*(x^2 + x^3)*Log[2 + Log[4]]^2))/(8*x^2*Log[2 + Log[4]]^2),x]","\frac{1}{8} x e^{e^{\frac{1}{x^2 \log ^2(2+\log (4))}}+x}","\frac{1}{8} x e^{e^{\frac{1}{x^2 \log ^2(2+\log (4))}}+x}+2",1,"(E^(E^(1/(x^2*Log[2 + Log[4]]^2)) + x)*x)/8","A",1
4530,1,23,29,0.1401414,"\int \frac{\exp \left(\frac{\left(-125+25 x^3\right) \log ^2(4)+4 x^6 \log (x)}{25 x^2 \log ^2(4)}\right) \left(4 x^6+\left(250+25 x^3\right) \log ^2(4)+16 x^6 \log (x)\right)}{25 x^3 \log ^2(4)} \, dx","Integrate[(E^(((-125 + 25*x^3)*Log[4]^2 + 4*x^6*Log[x])/(25*x^2*Log[4]^2))*(4*x^6 + (250 + 25*x^3)*Log[4]^2 + 16*x^6*Log[x]))/(25*x^3*Log[4]^2),x]","e^{x-\frac{5}{x^2}} x^{\frac{4 x^4}{25 \log ^2(4)}}","\exp \left(x-\left(\frac{5}{x^2 \log (x)}-\frac{4 x^4}{25 \log ^2(4)}\right) \log (x)\right)",1,"E^(-5/x^2 + x)*x^((4*x^4)/(25*Log[4]^2))","A",1
4531,1,21,18,0.0578764,"\int \frac{3 \sqrt[5]{e}-3 \sqrt[5]{e} \log (x)}{e^{2/5} x^2-2 \sqrt[5]{e} x \log (x)+\log ^2(x)} \, dx","Integrate[(3*E^(1/5) - 3*E^(1/5)*Log[x])/(E^(2/5)*x^2 - 2*E^(1/5)*x*Log[x] + Log[x]^2),x]","-\frac{3 \sqrt[5]{e} x}{\log (x)-\sqrt[5]{e} x}","\frac{3}{1-\frac{\log (x)}{\sqrt[5]{e} x}}",1,"(-3*E^(1/5)*x)/(-(E^(1/5)*x) + Log[x])","A",1
4532,1,24,27,0.4105136,"\int \frac{-x^2+e^{\frac{-60+40 e^x+30 x+5 x^2}{x}} \left(60+5 x^2+e^x (-40+40 x)\right)}{x^2} \, dx","Integrate[(-x^2 + E^((-60 + 40*E^x + 30*x + 5*x^2)/x)*(60 + 5*x^2 + E^x*(-40 + 40*x)))/x^2,x]","e^{5 x+\frac{40 e^x}{x}-\frac{60}{x}+30}-x","-x+e^{5 \left(-\frac{4 \left(-x-2 e^x+3\right)}{x}+x+2\right)}+1",1,"E^(30 - 60/x + (40*E^x)/x + 5*x) - x","A",1
4533,1,24,29,0.0755878,"\int \frac{-32768+73728 x-61440 x^2+23040 x^3-3840 x^4+288 x^5-8 x^6+\left(-24576 x+59392 x^2-55296 x^3+24960 x^4-5760 x^5+696 x^6-42 x^7+x^8+\left(-24576+59392 x-55296 x^2+24960 x^3-5760 x^4+696 x^5-42 x^6+x^7\right) \log (3)\right) \log \left(x^2+2 x \log (3)+\log ^2(3)\right)+\left(49152-73728 x+33792 x^2-4608 x^3+192 x^4+\left(36864 x-61440 x^2+34560 x^3-7680 x^4+720 x^5-24 x^6+\left(36864-61440 x+34560 x^2-7680 x^3+720 x^4-24 x^5\right) \log (3)\right) \log \left(x^2+2 x \log (3)+\log ^2(3)\right)\right) \log \left(\log \left(x^2+2 x \log (3)+\log ^2(3)\right)\right)+\left(-24576+18432 x-1536 x^2+\left(-18432 x+16896 x^2-3456 x^3+192 x^4+\left(-18432+16896 x-3456 x^2+192 x^3\right) \log (3)\right) \log \left(x^2+2 x \log (3)+\log ^2(3)\right)\right) \log ^2\left(\log \left(x^2+2 x \log (3)+\log ^2(3)\right)\right)+\left(4096+\left(3072 x-512 x^2+(3072-512 x) \log (3)\right) \log \left(x^2+2 x \log (3)+\log ^2(3)\right)\right) \log ^3\left(\log \left(x^2+2 x \log (3)+\log ^2(3)\right)\right)}{(800 x+800 \log (3)) \log \left(x^2+2 x \log (3)+\log ^2(3)\right)} \, dx","Integrate[(-32768 + 73728*x - 61440*x^2 + 23040*x^3 - 3840*x^4 + 288*x^5 - 8*x^6 + (-24576*x + 59392*x^2 - 55296*x^3 + 24960*x^4 - 5760*x^5 + 696*x^6 - 42*x^7 + x^8 + (-24576 + 59392*x - 55296*x^2 + 24960*x^3 - 5760*x^4 + 696*x^5 - 42*x^6 + x^7)*Log[3])*Log[x^2 + 2*x*Log[3] + Log[3]^2] + (49152 - 73728*x + 33792*x^2 - 4608*x^3 + 192*x^4 + (36864*x - 61440*x^2 + 34560*x^3 - 7680*x^4 + 720*x^5 - 24*x^6 + (36864 - 61440*x + 34560*x^2 - 7680*x^3 + 720*x^4 - 24*x^5)*Log[3])*Log[x^2 + 2*x*Log[3] + Log[3]^2])*Log[Log[x^2 + 2*x*Log[3] + Log[3]^2]] + (-24576 + 18432*x - 1536*x^2 + (-18432*x + 16896*x^2 - 3456*x^3 + 192*x^4 + (-18432 + 16896*x - 3456*x^2 + 192*x^3)*Log[3])*Log[x^2 + 2*x*Log[3] + Log[3]^2])*Log[Log[x^2 + 2*x*Log[3] + Log[3]^2]]^2 + (4096 + (3072*x - 512*x^2 + (3072 - 512*x)*Log[3])*Log[x^2 + 2*x*Log[3] + Log[3]^2])*Log[Log[x^2 + 2*x*Log[3] + Log[3]^2]]^3)/((800*x + 800*Log[3])*Log[x^2 + 2*x*Log[3] + Log[3]^2]),x]","\frac{\left(x^2-12 x-8 \log \left(\log \left((x+\log (3))^2\right)\right)+16\right)^4}{6400}","\frac{1}{25} \left(-\frac{1}{4} (x-4)^2+x+2 \log \left(\log \left((x+\log (3))^2\right)\right)\right)^4-5",1,"(16 - 12*x + x^2 - 8*Log[Log[(x + Log[3])^2]])^4/6400","A",1
4534,1,20,23,0.0260849,"\int \frac{1}{3} \left(3+e^{e^{x/3}-x} \left(-3+e^{x/3}\right)+30 x\right) \, dx","Integrate[(3 + E^(E^(x/3) - x)*(-3 + E^(x/3)) + 30*x)/3,x]","5 x^2+x+e^{e^{x/3}-x}","5 x^2+x+e^{e^{x/3}-x}-3+\log (4)",1,"E^(E^(x/3) - x) + x + 5*x^2","A",1
4535,1,23,19,0.0224808,"\int \frac{2+40 x^3-40 x^4+\left(-30 x^2+30 x^3\right) \log (4)}{-1+x} \, dx","Integrate[(2 + 40*x^3 - 40*x^4 + (-30*x^2 + 30*x^3)*Log[4])/(-1 + x),x]","-10 x^4+x^3 \log (1048576)+2 \log (x-1)+10-\log (1048576)","2 \left(5 x^3 (\log (4)-x)+\log (x-1)-1\right)",1,"10 - 10*x^4 - Log[1048576] + x^3*Log[1048576] + 2*Log[-1 + x]","A",1
4536,1,33,32,0.059661,"\int \frac{\exp \left(-2+\frac{2}{e^2 \log \left(\frac{-75+75 x+2 x^3-x^4}{-x^2+x^3}\right)}\right) \left(-300+600 x-300 x^2-4 x^3+4 x^4-2 x^5\right)}{\left(-75 x+150 x^2-75 x^3+2 x^4-3 x^5+x^6\right) \log ^2\left(\frac{-75+75 x+2 x^3-x^4}{-x^2+x^3}\right)} \, dx","Integrate[(E^(-2 + 2/(E^2*Log[(-75 + 75*x + 2*x^3 - x^4)/(-x^2 + x^3)]))*(-300 + 600*x - 300*x^2 - 4*x^3 + 4*x^4 - 2*x^5))/((-75*x + 150*x^2 - 75*x^3 + 2*x^4 - 3*x^5 + x^6)*Log[(-75 + 75*x + 2*x^3 - x^4)/(-x^2 + x^3)]^2),x]","\exp \left(\frac{2}{e^2 \log \left(-\frac{x^4-2 x^3-75 x+75}{(x-1) x^2}\right)}\right)","e^{\frac{2}{e^2 \log \left(\frac{x^2}{x^2-x}+\frac{75}{x^2}-x\right)}}",1,"E^(2/(E^2*Log[-((75 - 75*x - 2*x^3 + x^4)/((-1 + x)*x^2))]))","A",1
4537,1,82,24,0.0893193,"\int \frac{\exp \left(e^2+\frac{e^{e^2} (x+\log (4))}{-e^{\frac{1}{e^{26}}}+5 e^{e^2}}\right)}{-e^{\frac{1}{e^{26}}}+5 e^{e^2}} \, dx","Integrate[E^(E^2 + (E^E^2*(x + Log[4]))/(-E^E^(-26) + 5*E^E^2))/(-E^E^(-26) + 5*E^E^2),x]","-\frac{\left(e^{\frac{1}{e^{26}}}-5 e^{e^2}\right) \exp \left(-\frac{e^{e^2} x}{e^{\frac{1}{e^{26}}}-5 e^{e^2}}-\frac{e^{e^2} \log (4)}{e^{\frac{1}{e^{26}}}-5 e^{e^2}}\right)}{5 e^{e^2}-e^{\frac{1}{e^{26}}}}","e^{\frac{x+\log (4)}{5-e^{\frac{1}{e^{26}}-e^2}}}",1,"-((E^(-((E^E^2*x)/(E^E^(-26) - 5*E^E^2)) - (E^E^2*Log[4])/(E^E^(-26) - 5*E^E^2))*(E^E^(-26) - 5*E^E^2))/(-E^E^(-26) + 5*E^E^2))","B",1
4538,1,60,32,0.1178358,"\int \frac{-x^2+768 x^3+128 x^4+5 x^5+\left(512 x^3+96 x^4+4 x^5+e^x \left(2 x-1024 x^2-192 x^3-8 x^4\right)\right) \log (x)+\left(e^{2 x} \left(-1+512 x+96 x^2+4 x^3\right)+e^x \left(-768 x^2+128 x^3+27 x^4+x^5\right)\right) \log ^2(x)}{x^2-2 e^x x \log (x)+e^{2 x} \log ^2(x)} \, dx","Integrate[(-x^2 + 768*x^3 + 128*x^4 + 5*x^5 + (512*x^3 + 96*x^4 + 4*x^5 + E^x*(2*x - 1024*x^2 - 192*x^3 - 8*x^4))*Log[x] + (E^(2*x)*(-1 + 512*x + 96*x^2 + 4*x^3) + E^x*(-768*x^2 + 128*x^3 + 27*x^4 + x^5))*Log[x]^2)/(x^2 - 2*E^x*x*Log[x] + E^(2*x)*Log[x]^2),x]","\frac{x \left(x \left(x^3+32 x^2+256 x-1\right)+\left(x^2 (x+16)^2-e^x \left(x^3+32 x^2+256 x-1\right)\right) \log (x)\right)}{x-e^x \log (x)}","x^2 (x+16)^2 \left(\frac{x}{\frac{x}{\log (x)}-e^x}+1\right)-x+3",1,"(x*(x*(-1 + 256*x + 32*x^2 + x^3) + (x^2*(16 + x)^2 - E^x*(-1 + 256*x + 32*x^2 + x^3))*Log[x]))/(x - E^x*Log[x])","A",1
4539,1,61,29,0.0174829,"\int \frac{-1800+900 x-300 x^2+330 x^3+132 x^4+\left(-150 x^3-170 x^4\right) \log \left(\frac{4}{x}\right)+50 x^4 \log ^2\left(\frac{4}{x}\right)}{25 x^3} \, dx","Integrate[(-1800 + 900*x - 300*x^2 + 330*x^3 + 132*x^4 + (-150*x^3 - 170*x^4)*Log[4/x] + 50*x^4*Log[4/x]^2)/(25*x^3),x]","\frac{36 x^2}{25}+\frac{36}{x^2}+x^2 \log ^2\left(\frac{4}{x}\right)-\frac{12}{5} x^2 \log \left(\frac{4}{x}\right)+\frac{36 x}{5}-\frac{36}{x}-6 x \log \left(\frac{4}{x}\right)-12 \log (x)","\left(-\frac{6-x^2 \left(\frac{1}{5}-\log \left(\frac{4}{x}\right)\right)}{x}+x+3\right)^2",1,"36/x^2 - 36/x + (36*x)/5 + (36*x^2)/25 - 6*x*Log[4/x] - (12*x^2*Log[4/x])/5 + x^2*Log[4/x]^2 - 12*Log[x]","B",1
4540,1,13,23,0.0011083,"\int \frac{8-4 x^2}{5 x^2} \, dx","Integrate[(8 - 4*x^2)/(5*x^2),x]","-\frac{4 x}{5}-\frac{8}{5 x}","\frac{4}{5} \left(-x-\frac{2}{x}-e^5+2\right)+e^2",1,"-8/(5*x) - (4*x)/5","A",1
4541,1,80,23,0.6924621,"\int \frac{2+2 x+2 \log (16)-2 x \log (x)+\left(26 x+2 x^2\right) \log ^2(x)}{\left(-2 x-2 x^2-2 x \log (16)\right) \log (x)+\left(x+26 x^2+x^3+x \log (16)\right) \log ^2(x)} \, dx","Integrate[(2 + 2*x + 2*Log[16] - 2*x*Log[x] + (26*x + 2*x^2)*Log[x]^2)/((-2*x - 2*x^2 - 2*x*Log[16])*Log[x] + (x + 26*x^2 + x^3 + x*Log[16])*Log[x]^2),x]","2 \left(\frac{1}{2} \log \left(x^2+26 x+1+\log (16)\right)-\frac{1}{2} \log (\log (x))\right)+2 \left(\frac{1}{2} \log \left(x^2 (-\log (x))+2 x-26 x \log (x)-\log (16) \log (x)-\log (x)+2+2 \log (16)\right)-\frac{1}{2} \log \left(x^2+26 x+1+\log (16)\right)\right)","\log \left(x^2+25 x-(x+1+\log (16)) \left(\frac{2}{\log (x)}-1\right)\right)",1,"2*(Log[1 + 26*x + x^2 + Log[16]]/2 - Log[Log[x]]/2) + 2*(-1/2*Log[1 + 26*x + x^2 + Log[16]] + Log[2 + 2*x + 2*Log[16] - Log[x] - 26*x*Log[x] - x^2*Log[x] - Log[16]*Log[x]]/2)","B",1
4542,1,37,26,0.3020298,"\int \frac{112 x^6+288 x^{10}-144 x^{14}+\left(96 x^{10}-96 x^{14}\right) \log ^2(3)-16 x^{14} \log ^4(3)}{1+12 x^4+32 x^7+54 x^8+192 x^{11}+108 x^{12}+256 x^{14}+288 x^{15}+81 x^{16}+\left(4 x^4+36 x^8+64 x^{11}+108 x^{12}+192 x^{15}+108 x^{16}\right) \log ^2(3)+\left(6 x^8+36 x^{12}+32 x^{15}+54 x^{16}\right) \log ^4(3)+\left(4 x^{12}+12 x^{16}\right) \log ^6(3)+x^{16} \log ^8(3)} \, dx","Integrate[(112*x^6 + 288*x^10 - 144*x^14 + (96*x^10 - 96*x^14)*Log[3]^2 - 16*x^14*Log[3]^4)/(1 + 12*x^4 + 32*x^7 + 54*x^8 + 192*x^11 + 108*x^12 + 256*x^14 + 288*x^15 + 81*x^16 + (4*x^4 + 36*x^8 + 64*x^11 + 108*x^12 + 192*x^15 + 108*x^16)*Log[3]^2 + (6*x^8 + 36*x^12 + 32*x^15 + 54*x^16)*Log[3]^4 + (4*x^12 + 12*x^16)*Log[3]^6 + x^16*Log[3]^8),x]","\frac{16 x^7}{x^8 \left(3+\log ^2(3)\right)^2+16 x^7+2 x^4 \left(3+\log ^2(3)\right)+1}","\frac{x}{\frac{1}{16} x^2 \left(\frac{1}{x^4}+3+\log ^2(3)\right)^2+x}-5",1,"(16*x^7)/(1 + 16*x^7 + 2*x^4*(3 + Log[3]^2) + x^8*(3 + Log[3]^2)^2)","A",1
4543,1,29,30,0.2761554,"\int \frac{e^{10} \left(5+e^4 \left(-3 x+4 x^2\right)\right)+e^5 \left(-5 x^2+e^4 \left(4 x^2-5 x^3\right)\right)}{3125 x^2-6250 x^3+3125 x^4+e^4 \left(3125 x^3-6250 x^4+3125 x^5\right)+e^8 \left(1250 x^4-2500 x^5+1250 x^6\right)+e^{12} \left(250 x^5-500 x^6+250 x^7\right)+e^{16} \left(25 x^6-50 x^7+25 x^8\right)+e^{20} \left(x^7-2 x^8+x^9\right)+e^{10} \left(3125-6250 x+3125 x^2+e^4 \left(3125 x-6250 x^2+3125 x^3\right)+e^8 \left(1250 x^2-2500 x^3+1250 x^4\right)+e^{12} \left(250 x^3-500 x^4+250 x^5\right)+e^{16} \left(25 x^4-50 x^5+25 x^6\right)+e^{20} \left(x^5-2 x^6+x^7\right)\right)+e^5 \left(-6250 x+12500 x^2-6250 x^3+e^4 \left(-6250 x^2+12500 x^3-6250 x^4\right)+e^8 \left(-2500 x^3+5000 x^4-2500 x^5\right)+e^{12} \left(-500 x^4+1000 x^5-500 x^6\right)+e^{16} \left(-50 x^5+100 x^6-50 x^7\right)+e^{20} \left(-2 x^6+4 x^7-2 x^8\right)\right)} \, dx","Integrate[(E^10*(5 + E^4*(-3*x + 4*x^2)) + E^5*(-5*x^2 + E^4*(4*x^2 - 5*x^3)))/(3125*x^2 - 6250*x^3 + 3125*x^4 + E^4*(3125*x^3 - 6250*x^4 + 3125*x^5) + E^8*(1250*x^4 - 2500*x^5 + 1250*x^6) + E^12*(250*x^5 - 500*x^6 + 250*x^7) + E^16*(25*x^6 - 50*x^7 + 25*x^8) + E^20*(x^7 - 2*x^8 + x^9) + E^10*(3125 - 6250*x + 3125*x^2 + E^4*(3125*x - 6250*x^2 + 3125*x^3) + E^8*(1250*x^2 - 2500*x^3 + 1250*x^4) + E^12*(250*x^3 - 500*x^4 + 250*x^5) + E^16*(25*x^4 - 50*x^5 + 25*x^6) + E^20*(x^5 - 2*x^6 + x^7)) + E^5*(-6250*x + 12500*x^2 - 6250*x^3 + E^4*(-6250*x^2 + 12500*x^3 - 6250*x^4) + E^8*(-2500*x^3 + 5000*x^4 - 2500*x^5) + E^12*(-500*x^4 + 1000*x^5 - 500*x^6) + E^16*(-50*x^5 + 100*x^6 - 50*x^7) + E^20*(-2*x^6 + 4*x^7 - 2*x^8))),x]","-\frac{e^5 x}{\left(e^5-x\right) (x-1) \left(e^4 x+5\right)^4}","\frac{x}{\left(e^4 x+5\right)^4 \left(-\frac{x-x^2}{e^5}-x+1\right)}",1,"-((E^5*x)/((E^5 - x)*(-1 + x)*(5 + E^4*x)^4))","A",1
4544,1,20,20,0.2607244,"\int \frac{1}{5} e^{e^{-2 x} \left(3 e^{2 x}-4 x\right)-2 x} \left(e^{8+2 x} (-3+2 x)+e^8 \left(12 x-28 x^2+8 x^3\right)\right) \, dx","Integrate[(E^((3*E^(2*x) - 4*x)/E^(2*x) - 2*x)*(E^(8 + 2*x)*(-3 + 2*x) + E^8*(12*x - 28*x^2 + 8*x^3)))/5,x]","\frac{1}{5} e^{11-4 e^{-2 x} x} (x-3) x","\frac{1}{5} e^{11-4 e^{-2 x} x} (x-3) x",1,"(E^(11 - (4*x)/E^(2*x))*(-3 + x)*x)/5","A",1
4545,1,17,14,0.0394168,"\int \frac{1}{9} \left(9+e^{\frac{1}{9} \left(160 x-32 x^2\right)} (160-64 x)\right) \, dx","Integrate[(9 + E^((160*x - 32*x^2)/9)*(160 - 64*x))/9,x]","e^{\frac{160 x}{9}-\frac{32 x^2}{9}}+x","x+e^{\frac{32}{9} (5-x) x}",1,"E^((160*x)/9 - (32*x^2)/9) + x","A",1
4546,1,17,24,0.0224383,"\int \frac{4+4 x^2+e^x \left(7 x^2-x^3\right)}{x^2} \, dx","Integrate[(4 + 4*x^2 + E^x*(7*x^2 - x^3))/x^2,x]","-e^x (x-8)+4 x-\frac{4}{x}","4 \left(x+2 e^x-\frac{1}{x}+4+\log (2)\right)-e^x x",1,"-(E^x*(-8 + x)) - 4/x + 4*x","A",1
4547,1,21,22,0.1709865,"\int \frac{-4-x+\left(4+e^x (-4-x)\right) \log (x)+(4+x) \log (x) \log \left(-\frac{1}{(4+x) \log (x)}\right)}{(4+x) \log (x)} \, dx","Integrate[(-4 - x + (4 + E^x*(-4 - x))*Log[x] + (4 + x)*Log[x]*Log[-(1/((4 + x)*Log[x]))])/((4 + x)*Log[x]),x]","x-e^x+x \log \left(-\frac{1}{(x+4) \log (x)}\right)","x-e^x+x \log \left(-\frac{1}{(x+4) \log (x)}\right)-10",1,"-E^x + x + x*Log[-(1/((4 + x)*Log[x]))]","A",1
4548,1,9,9,0.0425765,"\int -e^{-2+e^{-2-x}-x} \, dx","Integrate[-E^(-2 + E^(-2 - x) - x),x]","e^{e^{-x-2}}","e^{e^{-x-2}}",1,"E^E^(-2 - x)","A",1
4549,1,27,27,0.2707714,"\int \frac{30+896 x+980 x^2-944 x^3-640 x^4+400 x^5+\left(240 x^2+128 x^3-160 x^4\right) \log (5 x)+16 x^3 \log ^2(5 x)}{225+240 x-236 x^2-160 x^3+100 x^4+\left(60 x+32 x^2-40 x^3\right) \log (5 x)+4 x^2 \log ^2(5 x)} \, dx","Integrate[(30 + 896*x + 980*x^2 - 944*x^3 - 640*x^4 + 400*x^5 + (240*x^2 + 128*x^3 - 160*x^4)*Log[5*x] + 16*x^3*Log[5*x]^2)/(225 + 240*x - 236*x^2 - 160*x^3 + 100*x^4 + (60*x + 32*x^2 - 40*x^3)*Log[5*x] + 4*x^2*Log[5*x]^2),x]","2 \left(x^2+\frac{x}{-10 x^2+8 x+2 x \log (5 x)+15}\right)","2 x^2+\frac{1}{5 \left(\frac{3}{2 x}-x\right)+\log (5 x)+4}",1,"2*(x^2 + x/(15 + 8*x - 10*x^2 + 2*x*Log[5*x]))","A",1
4550,0,0,25,0.1642189,"\int \frac{e^{e^x} \left(250-200 x^2\right) \log \left(\log \left(\frac{x}{20+16 x^2}\right)\right)+e^{e^x+x} \left(125 x+100 x^3\right) \log \left(\frac{x}{20+16 x^2}\right) \log ^2\left(\log \left(\frac{x}{20+16 x^2}\right)\right)}{\left(5 x+4 x^3\right) \log \left(\frac{x}{20+16 x^2}\right)} \, dx","Integrate[(E^E^x*(250 - 200*x^2)*Log[Log[x/(20 + 16*x^2)]] + E^(E^x + x)*(125*x + 100*x^3)*Log[x/(20 + 16*x^2)]*Log[Log[x/(20 + 16*x^2)]]^2)/((5*x + 4*x^3)*Log[x/(20 + 16*x^2)]),x]","\int \frac{e^{e^x} \left(250-200 x^2\right) \log \left(\log \left(\frac{x}{20+16 x^2}\right)\right)+e^{e^x+x} \left(125 x+100 x^3\right) \log \left(\frac{x}{20+16 x^2}\right) \log ^2\left(\log \left(\frac{x}{20+16 x^2}\right)\right)}{\left(5 x+4 x^3\right) \log \left(\frac{x}{20+16 x^2}\right)} \, dx","25 e^{e^x} \log ^2\left(\log \left(\frac{x}{4 \left(4 x^2+5\right)}\right)\right)",1,"Integrate[(E^E^x*(250 - 200*x^2)*Log[Log[x/(20 + 16*x^2)]] + E^(E^x + x)*(125*x + 100*x^3)*Log[x/(20 + 16*x^2)]*Log[Log[x/(20 + 16*x^2)]]^2)/((5*x + 4*x^3)*Log[x/(20 + 16*x^2)]), x]","F",-1
4551,1,21,22,0.2031067,"\int \frac{-5-2 x+\left(-20-4 x+(40+8 x) \log (x)+(-5-x+(10+2 x) \log (x)) \log \left(5 x+x^2\right)\right) \log \left(4+\log \left(5 x+x^2\right)\right)}{\left(20 x+4 x^2+\left(5 x+x^2\right) \log \left(5 x+x^2\right)\right) \log \left(4+\log \left(5 x+x^2\right)\right)} \, dx","Integrate[(-5 - 2*x + (-20 - 4*x + (40 + 8*x)*Log[x] + (-5 - x + (10 + 2*x)*Log[x])*Log[5*x + x^2])*Log[4 + Log[5*x + x^2]])/((20*x + 4*x^2 + (5*x + x^2)*Log[5*x + x^2])*Log[4 + Log[5*x + x^2]]),x]","\log ^2(x)-\log (x)-\log (\log (\log (x (x+5))+4))","\log ^2(x)-\log \left(\frac{1}{9} x \log (\log (x (x+5))+4)\right)",1,"-Log[x] + Log[x]^2 - Log[Log[4 + Log[x*(5 + x)]]]","A",1
4552,1,25,23,0.7360862,"\int \frac{1}{9} e^{\frac{1}{9} \left(-4 x-4 e^{4+3 x} x\right)} \left(90-9 e^{\frac{1}{9} \left(4 x+4 e^{4+3 x} x\right)}-40 x+e^{4+3 x} \left(-40 x-120 x^2\right)\right) \, dx","Integrate[(E^((-4*x - 4*E^(4 + 3*x)*x)/9)*(90 - 9*E^((4*x + 4*E^(4 + 3*x)*x)/9) - 40*x + E^(4 + 3*x)*(-40*x - 120*x^2)))/9,x]","\frac{1}{9} \left(90 e^{-\frac{4}{9} \left(e^{3 x+4}+1\right) x}-9\right) x","10 e^{-\frac{4}{9} \left(e^{3 x+4}+1\right) x} x-x",1,"((-9 + 90/E^((4*(1 + E^(4 + 3*x))*x)/9))*x)/9","A",1
4553,1,40,36,0.1083394,"\int \frac{-25+4 x^2+e^2 \left(-625-1000 x-600 x^2-160 x^3-16 x^4\right)+e^2 \left(625+1000 x+600 x^2+160 x^3+16 x^4\right) \log ^2(4)+e^{2 e^x} \left(-e^2+e^2 \log ^2(4)\right)+e^{e^x} \left(1-e^x x+e^2 \left(50+40 x+8 x^2\right)+e^2 \left(-50-40 x-8 x^2\right) \log ^2(4)\right)}{-625-1000 x-600 x^2-160 x^3-16 x^4+\left(625+1000 x+600 x^2+160 x^3+16 x^4\right) \log ^2(4)+e^{2 e^x} \left(-1+\log ^2(4)\right)+e^{e^x} \left(50+40 x+8 x^2+\left(-50-40 x-8 x^2\right) \log ^2(4)\right)} \, dx","Integrate[(-25 + 4*x^2 + E^2*(-625 - 1000*x - 600*x^2 - 160*x^3 - 16*x^4) + E^2*(625 + 1000*x + 600*x^2 + 160*x^3 + 16*x^4)*Log[4]^2 + E^(2*E^x)*(-E^2 + E^2*Log[4]^2) + E^E^x*(1 - E^x*x + E^2*(50 + 40*x + 8*x^2) + E^2*(-50 - 40*x - 8*x^2)*Log[4]^2))/(-625 - 1000*x - 600*x^2 - 160*x^3 - 16*x^4 + (625 + 1000*x + 600*x^2 + 160*x^3 + 16*x^4)*Log[4]^2 + E^(2*E^x)*(-1 + Log[4]^2) + E^E^x*(50 + 40*x + 8*x^2 + (-50 - 40*x - 8*x^2)*Log[4]^2)),x]","\frac{\frac{x}{-4 x^2-20 x+e^{e^x}-25}+e^2 x \left(\log ^2(4)-1\right)}{\log ^2(4)-1}","e^2 x-\frac{x}{\left(e^{e^x}-(2 x+5)^2\right) \left(1-\log ^2(4)\right)}",1,"(x/(-25 + E^E^x - 20*x - 4*x^2) + E^2*x*(-1 + Log[4]^2))/(-1 + Log[4]^2)","A",1
4554,1,24,27,0.096259,"\int \frac{-30 x-6 x^3+\left(-10+2 e^5-30 x-2 x^3\right) \log \left(\frac{1}{5} \left(-15+3 e^5-45 x-3 x^3\right)\right)}{e^{10}+e^5 \left(-5-15 x-x^3\right)} \, dx","Integrate[(-30*x - 6*x^3 + (-10 + 2*E^5 - 30*x - 2*x^3)*Log[(-15 + 3*E^5 - 45*x - 3*x^3)/5])/(E^10 + E^5*(-5 - 15*x - x^3)),x]","\frac{2 x \log \left(\frac{3}{5} \left(-x^3-15 x+e^5-5\right)\right)}{e^5}","\frac{2 x \log \left(9 \left(\frac{1}{15} \left(-x^3+e^5-5\right)-x\right)\right)}{e^5}",1,"(2*x*Log[(3*(-5 + E^5 - 15*x - x^3))/5])/E^5","A",1
4555,1,28,20,0.0257518,"\int \frac{16+144 x+36 x^2+e^2 x^2+e \left(-8 x-20 x^2\right)}{16+16 x+4 x^2+e^2 x^2+e \left(-8 x-4 x^2\right)} \, dx","Integrate[(16 + 144*x + 36*x^2 + E^2*x^2 + E*(-8*x - 20*x^2))/(16 + 16*x + 4*x^2 + E^2*x^2 + E*(-8*x - 4*x^2)),x]","\frac{(e-18) x}{e-2}-\frac{256}{(e-2)^2 (e x-2 x-4)}","\frac{16 x}{\frac{x+4}{x}-e+1}+x+2",1,"((-18 + E)*x)/(-2 + E) - 256/((-2 + E)^2*(-4 - 2*x + E*x))","A",1
4556,1,19,26,0.0550357,"\int \frac{-26+26 x^2+e^{\frac{1-3 x-x^2}{x}} \left(-1-x^2\right)}{26 x^2} \, dx","Integrate[(-26 + 26*x^2 + E^((1 - 3*x - x^2)/x)*(-1 - x^2))/(26*x^2),x]","x+\frac{1}{26} e^{-x+\frac{1}{x}-3}+\frac{1}{x}","\frac{(1-x)^2}{x}+\frac{1}{26} e^{-x+\frac{1}{x}-3}",1,"E^(-3 + x^(-1) - x)/26 + x^(-1) + x","A",1
4557,1,30,30,0.2103215,"\int \frac{-30 x+6 x^2+e^x \left(-45+54 x-9 x^2\right) \log (4)+\left(-90 x^2+18 x^3\right) \log (4)+\left(-10 x+2 x^2+e^x \left(-30+36 x-6 x^2\right) \log (4)+\left(-60 x^2+12 x^3\right) \log (4)\right) \log (5-x)+\left(e^x \left(-5+6 x-x^2\right) \log (4)+\left(-10 x^2+2 x^3\right) \log (4)\right) \log ^2(5-x)-2 x^2 \log (x)}{-45 x^2+9 x^3+\left(-30 x^2+6 x^3\right) \log (5-x)+\left(-5 x^2+x^3\right) \log ^2(5-x)} \, dx","Integrate[(-30*x + 6*x^2 + E^x*(-45 + 54*x - 9*x^2)*Log[4] + (-90*x^2 + 18*x^3)*Log[4] + (-10*x + 2*x^2 + E^x*(-30 + 36*x - 6*x^2)*Log[4] + (-60*x^2 + 12*x^3)*Log[4])*Log[5 - x] + (E^x*(-5 + 6*x - x^2)*Log[4] + (-10*x^2 + 2*x^3)*Log[4])*Log[5 - x]^2 - 2*x^2*Log[x])/(-45*x^2 + 9*x^3 + (-30*x^2 + 6*x^3)*Log[5 - x] + (-5*x^2 + x^3)*Log[5 - x]^2),x]","2 x \log (4)+\frac{2 \log (x)}{\log (5-x)+3}-\frac{e^x \log (4)}{x}","\frac{2 \log (x)}{\log (5-x)+3}-\left(\frac{e^x}{x}-2 x\right) \log (4)",1,"-((E^x*Log[4])/x) + 2*x*Log[4] + (2*Log[x])/(3 + Log[5 - x])","A",1
4558,1,9,10,0.0016833,"\int \left(-1-5 e^x\right) \, dx","Integrate[-1 - 5*E^x,x]","-x-5 e^x","-x-5 e^x+4",1,"-5*E^x - x","A",1
4559,1,49,28,0.1027623,"\int \frac{2 x^2+\log ^{e^{2 x} x}(3) \left(-4+8 x-4 x^2+e^{2 x} \left(4 x-12 x^3+8 x^4\right) \log (\log (3))\right)}{x^2-2 x^3+x^4} \, dx","Integrate[(2*x^2 + Log[3]^(E^(2*x)*x)*(-4 + 8*x - 4*x^2 + E^(2*x)*(4*x - 12*x^3 + 8*x^4)*Log[Log[3]]))/(x^2 - 2*x^3 + x^4),x]","\frac{4 e^{2 x} (2 x+1) \log ^{e^{2 x} x}(3)}{x \left(2 e^{2 x} x+e^{2 x}\right)}-\frac{2}{x-1}","\frac{2 x}{x-x^2}+\frac{4 \log ^{e^{2 x} x}(3)}{x}",1,"-2/(-1 + x) + (4*E^(2*x)*(1 + 2*x)*Log[3]^(E^(2*x)*x))/(x*(E^(2*x) + 2*E^(2*x)*x))","A",1
4560,1,42,34,0.1107654,"\int \frac{15 x^2+e^{\frac{2 e^{6-x}}{3 x}} \left(27+12 x+3 x^2\right)+e^{\frac{e^{6-x}}{3 x}} \left(-30 x+e^{6-x} \left(4+8 x+5 x^2+x^3\right)\right)}{12 x^2+12 x^3+3 x^4+e^{\frac{2 e^{6-x}}{3 x}} \left(12+12 x+3 x^2\right)+e^{\frac{e^{6-x}}{3 x}} \left(-24 x-24 x^2-6 x^3\right)} \, dx","Integrate[(15*x^2 + E^((2*E^(6 - x))/(3*x))*(27 + 12*x + 3*x^2) + E^(E^(6 - x)/(3*x))*(-30*x + E^(6 - x)*(4 + 8*x + 5*x^2 + x^3)))/(12*x^2 + 12*x^3 + 3*x^4 + E^((2*E^(6 - x))/(3*x))*(12 + 12*x + 3*x^2) + E^(E^(6 - x)/(3*x))*(-24*x - 24*x^2 - 6*x^3)),x]","\frac{1}{3} \left(\frac{3 x^2}{e^{\frac{e^{6-x}}{3 x}}-x}+3 x-\frac{15}{x+2}\right)","\frac{x}{1-e^{-\frac{e^{6-x}}{3 x}} x}-\frac{5}{x+2}+5",1,"(3*x + (3*x^2)/(E^(E^(6 - x)/(3*x)) - x) - 15/(2 + x))/3","A",1
4561,1,65,32,0.0344915,"\int \frac{-400 x^6+\left(100 x^3+100 x^4-640 x^5+400 x^6\right) \log (x)+\left(100 x^3+640 x^5\right) \log ^2(x)+\left(-50-75 x+295 x^2+160 x^3-8 x^5\right) \log ^3(x)}{8 x^5 \log ^3(x)} \, dx","Integrate[(-400*x^6 + (100*x^3 + 100*x^4 - 640*x^5 + 400*x^6)*Log[x] + (100*x^3 + 640*x^5)*Log[x]^2 + (-50 - 75*x + 295*x^2 + 160*x^3 - 8*x^5)*Log[x]^3)/(8*x^5*Log[x]^3),x]","\frac{25}{16 x^4}+\frac{25}{8 x^3}-\frac{295}{16 x^2}+\frac{25 x^2}{\log ^2(x)}-x-\frac{20}{x}+\frac{80 x}{\log (x)}-\frac{25}{2 \log (x)}-\frac{25}{2 x \log (x)}","\left(2-\frac{5}{4} \left(4 \left(\frac{x}{\log (x)}+2\right)-\frac{x+1}{x^2}\right)\right)^2-x+4",1,"25/(16*x^4) + 25/(8*x^3) - 295/(16*x^2) - 20/x - x + (25*x^2)/Log[x]^2 - 25/(2*Log[x]) - 25/(2*x*Log[x]) + (80*x)/Log[x]","B",1
4562,1,57,22,0.0656286,"\int \frac{-10 x^2+2 x^3-9 x^5+4 x^6-40 x^8+10 x^9+8 x^{12}+e^{5/2} \left(2 x^2+2 x^5+8 x^8\right)+\left(2+20 x^2-4 e^{5/2} x^2-2 x^3+4 x^6\right) \log (x)-4 \log ^2(x)}{x^5} \, dx","Integrate[(-10*x^2 + 2*x^3 - 9*x^5 + 4*x^6 - 40*x^8 + 10*x^9 + 8*x^12 + E^(5/2)*(2*x^2 + 2*x^5 + 8*x^8) + (2 + 20*x^2 - 4*E^(5/2)*x^2 - 2*x^3 + 4*x^6)*Log[x] - 4*Log[x]^2)/x^5,x]","\frac{\log ^2(x)}{x^4}+\frac{2 \left(x^4+x+e^{5/2}-5\right) \log (x)}{x^2}+x \left(x^7+2 x^4-10 x^3+2 e^{5/2} \left(x^3+1\right)+x-9\right)","\left(x^4+\frac{\log (x)}{x^2}+x+e^{5/2}-5\right)^2+x-5",1,"x*(-9 + x - 10*x^3 + 2*x^4 + x^7 + 2*E^(5/2)*(1 + x^3)) + (2*(-5 + E^(5/2) + x + x^4)*Log[x])/x^2 + Log[x]^2/x^4","B",1
4563,1,242,24,0.0666044,"\int \frac{240 x^4+1713 x^5+3776 x^6+3328 x^7+1024 x^8+\left(-52 x^3+384 x^4+960 x^5+512 x^6\right) \log (4)+\left(-140 x^2-144 x^3\right) \log ^2(4)+\left(-44 x-32 x^2\right) \log ^3(4)-4 \log ^4(4)+\left(188 x^4+1136 x^5+1728 x^6+768 x^7+\left(-92 x^3+96 x^4+192 x^5\right) \log (4)+\left(-84 x^2-48 x^3\right) \log ^2(4)-12 x \log ^3(4)\right) \log (x)+\left(48 x^4+240 x^5+192 x^6-36 x^3 \log (4)-12 x^2 \log ^2(4)\right) \log ^2(x)+\left(4 x^4+16 x^5-4 x^3 \log (4)\right) \log ^3(x)}{x^5} \, dx","Integrate[(240*x^4 + 1713*x^5 + 3776*x^6 + 3328*x^7 + 1024*x^8 + (-52*x^3 + 384*x^4 + 960*x^5 + 512*x^6)*Log[4] + (-140*x^2 - 144*x^3)*Log[4]^2 + (-44*x - 32*x^2)*Log[4]^3 - 4*Log[4]^4 + (188*x^4 + 1136*x^5 + 1728*x^6 + 768*x^7 + (-92*x^3 + 96*x^4 + 192*x^5)*Log[4] + (-84*x^2 - 48*x^3)*Log[4]^2 - 12*x*Log[4]^3)*Log[x] + (48*x^4 + 240*x^5 + 192*x^6 - 36*x^3*Log[4] - 12*x^2*Log[4]^2)*Log[x]^2 + (4*x^4 + 16*x^5 - 4*x^3*Log[4])*Log[x]^3)/x^5,x]","256 x^4+\frac{\log ^4(4)}{x^4}+1024 x^3+\frac{4 \log ^3(4) \log (x)}{x^3}+\frac{16 \log ^3(4)}{x^3}+256 x^3 \log (x)+1504 x^2+\frac{16 \log ^3(4)}{x^2}+96 x^2 \log ^2(x)+\frac{6 \log ^2(4) \log ^2(x)}{x^2}+\frac{48 \log ^2(4) \log (x)}{x^2}+\frac{94 \log ^2(4)}{x^2}+768 x^2 \log (x)+256 x^2 \log (4)+961 x+\log ^4(x)+16 x \log ^3(x)+16 \log ^3(x)+\frac{4 \log (4) \log ^3(x)}{x}+192 x \log ^2(x)+48 \log (4) \log ^2(x)+94 \log ^2(x)+\frac{48 \log (4) \log ^2(x)}{x}+\frac{48 \log ^2(4) \log (x)}{x}+\frac{192 \log ^2(4)}{x}+192 x \log (4) \log (x)+752 x \log (x)+768 x \log (4)+384 \log (4) \log (x)+240 \log (x)+\frac{188 \log (4) \log (x)}{x}+\frac{240 \log (4)}{x}","x+\left(\left(\frac{4 x (x+1)+\log (4)}{x}+\log (x)\right)^2-1\right)^2",1,"961*x + 1504*x^2 + 1024*x^3 + 256*x^4 + (240*Log[4])/x + 768*x*Log[4] + 256*x^2*Log[4] + (94*Log[4]^2)/x^2 + (192*Log[4]^2)/x + (16*Log[4]^3)/x^3 + (16*Log[4]^3)/x^2 + Log[4]^4/x^4 + 240*Log[x] + 752*x*Log[x] + 768*x^2*Log[x] + 256*x^3*Log[x] + 384*Log[4]*Log[x] + (188*Log[4]*Log[x])/x + 192*x*Log[4]*Log[x] + (48*Log[4]^2*Log[x])/x^2 + (48*Log[4]^2*Log[x])/x + (4*Log[4]^3*Log[x])/x^3 + 94*Log[x]^2 + 192*x*Log[x]^2 + 96*x^2*Log[x]^2 + 48*Log[4]*Log[x]^2 + (48*Log[4]*Log[x]^2)/x + (6*Log[4]^2*Log[x]^2)/x^2 + 16*Log[x]^3 + 16*x*Log[x]^3 + (4*Log[4]*Log[x]^3)/x + Log[x]^4","B",1
4564,1,13,15,0.1542216,"\int \left(1+e^{1+e^{1+2 x^2+x^4}+2 x^2+x^4} \left(4 x+4 x^3\right)\right) \, dx","Integrate[1 + E^(1 + E^(1 + 2*x^2 + x^4) + 2*x^2 + x^4)*(4*x + 4*x^3),x]","e^{e^{\left(x^2+1\right)^2}}+x","e^{e^{\left(-x^2-1\right)^2}}+x",1,"E^E^(1 + x^2)^2 + x","A",1
4565,1,23,23,0.0594783,"\int \frac{\left(-30+5 x^3\right) \log (3)+\left(\left(45+150 x^2+15 x^3\right) \log (3)+\left(15+50 x^2+5 x^3\right) \log (3) \log \left(\frac{-3-10 x^2-x^3}{2 x^2}\right)\right) \log \left(3+\log \left(\frac{-3-10 x^2-x^3}{2 x^2}\right)\right)}{9+30 x^2+3 x^3+\left(3+10 x^2+x^3\right) \log \left(\frac{-3-10 x^2-x^3}{2 x^2}\right)} \, dx","Integrate[((-30 + 5*x^3)*Log[3] + ((45 + 150*x^2 + 15*x^3)*Log[3] + (15 + 50*x^2 + 5*x^3)*Log[3]*Log[(-3 - 10*x^2 - x^3)/(2*x^2)])*Log[3 + Log[(-3 - 10*x^2 - x^3)/(2*x^2)]])/(9 + 30*x^2 + 3*x^3 + (3 + 10*x^2 + x^3)*Log[(-3 - 10*x^2 - x^3)/(2*x^2)]),x]","5 x \log (3) \log \left(\log \left(-\frac{3}{2 x^2}-\frac{x}{2}-5\right)+3\right)","5 x \log (3) \log \left(\log \left(\frac{1}{2} \left(-\frac{3}{x^2}-x-10\right)\right)+3\right)",1,"5*x*Log[3]*Log[3 + Log[-5 - 3/(2*x^2) - x/2]]","A",1
4566,1,31,25,0.8856372,"\int \frac{e^{-4+\frac{e^{20+\frac{x}{4}} x+e^{x/4} \log (x)}{e^4 x^2}} \left(e^{x/4} \left(4+e^{20} \left(-4 x+x^2\right)\right)+e^{x/4} (-8+x) \log (x)\right)}{4 x^3} \, dx","Integrate[(E^(-4 + (E^(20 + x/4)*x + E^(x/4)*Log[x])/(E^4*x^2))*(E^(x/4)*(4 + E^20*(-4*x + x^2)) + E^(x/4)*(-8 + x)*Log[x]))/(4*x^3),x]","e^{\frac{e^{\frac{x}{4}+16}}{x}} x^{\frac{e^{\frac{x}{4}-4}}{x^2}}","e^{\frac{e^{\frac{x}{4}-4} \left(\frac{\log (x)}{x}+e^{20}\right)}{x}}",1,"E^(E^(16 + x/4)/x)*x^(E^(-4 + x/4)/x^2)","A",1
4567,1,34,21,0.1777096,"\int \frac{-2 x^3 \log ^2(25) \log ^2(x)+\left(x^3 \log ^2(25) \log (x)+2 x^3 \log ^2(25) \log ^2(x)\right) \log (4 x)+128 x \log (25) \log (x) \log ^2(4 x)+(-64 x \log (25)-128 x \log (25) \log (x)) \log ^3(4 x)}{128 \log ^5(4 x)} \, dx","Integrate[(-2*x^3*Log[25]^2*Log[x]^2 + (x^3*Log[25]^2*Log[x] + 2*x^3*Log[25]^2*Log[x]^2)*Log[4*x] + 128*x*Log[25]*Log[x]*Log[4*x]^2 + (-64*x*Log[25] - 128*x*Log[25]*Log[x])*Log[4*x]^3)/(128*Log[4*x]^5),x]","\frac{x^2 \log (25) \log (x) \left(x^2 \log (25) \log (x)-128 \log ^2(4 x)\right)}{256 \log ^4(4 x)}","\left(4-\frac{x^2 \log (25) \log (x)}{16 \log ^2(4 x)}\right)^2",1,"(x^2*Log[25]*Log[x]*(x^2*Log[25]*Log[x] - 128*Log[4*x]^2))/(256*Log[4*x]^4)","A",1
4568,1,44,24,0.1193086,"\int \frac{e^{\frac{3-x^3+x^2 \log (11+5 x)}{-x+\log (11+5 x)}} \left(18+15 x+22 x^3+10 x^4+\left(-44 x^2-20 x^3\right) \log (11+5 x)+\left(22 x+10 x^2\right) \log ^2(11+5 x)\right)}{11 x^2+5 x^3+\left(-22 x-10 x^2\right) \log (11+5 x)+(11+5 x) \log ^2(11+5 x)} \, dx","Integrate[(E^((3 - x^3 + x^2*Log[11 + 5*x])/(-x + Log[11 + 5*x]))*(18 + 15*x + 22*x^3 + 10*x^4 + (-44*x^2 - 20*x^3)*Log[11 + 5*x] + (22*x + 10*x^2)*Log[11 + 5*x]^2))/(11*x^2 + 5*x^3 + (-22*x - 10*x^2)*Log[11 + 5*x] + (11 + 5*x)*Log[11 + 5*x]^2),x]","e^{\frac{x^3-3}{x-\log (5 x+11)}} (5 x+11)^{-\frac{x^2}{x-\log (5 x+11)}}","e^{x^2+\frac{3}{\log (5 (x+2)+1)-x}}+1",1,"E^((-3 + x^3)/(x - Log[11 + 5*x]))/(11 + 5*x)^(x^2/(x - Log[11 + 5*x]))","A",1
4569,1,22,28,0.0446002,"\int \frac{-250+e^{4 x} \left(9000+49500 x+60750 x^2+28125 x^3+4500 x^4+\left(1200+6600 x+8100 x^2+3750 x^3+600 x^4\right) \log (4)+\left(40+220 x+270 x^2+125 x^3+20 x^4\right) \log ^2(4)\right)}{1800+2700 x+1350 x^2+225 x^3+\left(240+360 x+180 x^2+30 x^3\right) \log (4)+\left(8+12 x+6 x^2+x^3\right) \log ^2(4)} \, dx","Integrate[(-250 + E^(4*x)*(9000 + 49500*x + 60750*x^2 + 28125*x^3 + 4500*x^4 + (1200 + 6600*x + 8100*x^2 + 3750*x^3 + 600*x^4)*Log[4] + (40 + 220*x + 270*x^2 + 125*x^3 + 20*x^4)*Log[4]^2))/(1800 + 2700*x + 1350*x^2 + 225*x^3 + (240 + 360*x + 180*x^2 + 30*x^3)*Log[4] + (8 + 12*x + 6*x^2 + x^3)*Log[4]^2),x]","5 e^{4 x} x+\frac{125}{(x+2)^2 (15+\log (4))^2}","5 \left(e^{4 x} x+\frac{25}{(x+2)^2 (15+\log (4))^2}-5 e^2\right)",1,"5*E^(4*x)*x + 125/((2 + x)^2*(15 + Log[4])^2)","A",1
4570,1,12,32,0.0066425,"\int \frac{4+3 x+4 x^2}{x+2 x^2+x^3} \, dx","Integrate[(4 + 3*x + 4*x^2)/(x + 2*x^2 + x^3),x]","\frac{5}{x+1}+4 \log (x)","\left(\frac{5}{x^2+x}+1\right) x-x+4 \left(\log (x)+2 e^{-e^2}+4\right)",1,"5/(1 + x) + 4*Log[x]","A",1
4571,1,23,23,0.258221,"\int \frac{e^{\frac{1+e^{12} x}{x}} \left(x-x^2-4 x^5\right)+\left(e^{\frac{1+e^{12} x}{x}} \left(x-2 x^2+x^4-2 x^5\right)+e^{\frac{1+e^{12} x}{x}} (-1+2 x) \log (x)\right) \log \left(x+x^4-\log (x)\right)}{-x-x^4+\log (x)} \, dx","Integrate[(E^((1 + E^12*x)/x)*(x - x^2 - 4*x^5) + (E^((1 + E^12*x)/x)*(x - 2*x^2 + x^4 - 2*x^5) + E^((1 + E^12*x)/x)*(-1 + 2*x)*Log[x])*Log[x + x^4 - Log[x]])/(-x - x^4 + Log[x]),x]","e^{\frac{1}{x}+e^{12}} x^2 \log \left(x^4+x-\log (x)\right)","e^{\frac{1}{x}+e^{12}} x^2 \log \left(x^4+x-\log (x)\right)",1,"E^(E^12 + x^(-1))*x^2*Log[x + x^4 - Log[x]]","A",1
4572,1,11,22,0.0065044,"\int \frac{-36+8 x-x^2}{16-8 x+x^2} \, dx","Integrate[(-36 + 8*x - x^2)/(16 - 8*x + x^2),x]","\frac{20}{x-4}-x","-\frac{5 x}{4-x}-x+2^{2/3}-2+\log (3)",1,"20/(-4 + x) - x","A",1
4573,1,18,20,0.0292062,"\int e^{-e^{2 e^{-x} x}} \left(3 e^x+e^{2 e^{-x} x} (-6+6 x)\right) \, dx","Integrate[(3*E^x + E^((2*x)/E^x)*(-6 + 6*x))/E^E^((2*x)/E^x),x]","3 e^{x-e^{2 e^{-x} x}}","3 e^{x-e^{2 e^{-x} x}}-1",1,"3*E^(-E^((2*x)/E^x) + x)","A",1
4574,1,24,16,0.0389114,"\int e^x \left(-1293+864 e-216 e^2+24 e^3-e^4-x\right) \, dx","Integrate[E^x*(-1293 + 864*E - 216*E^2 + 24*E^3 - E^4 - x),x]","-e^x \left(x+e^4-24 e^3+216 e^2-864 e+1292\right)","e^x \left(-x-(e-6)^4+4\right)",1,"-(E^x*(1292 - 864*E + 216*E^2 - 24*E^3 + E^4 + x))","A",1
4575,1,21,28,0.0900703,"\int \frac{-120 e^x+4 x-x^3+e^x \left(60 x-15 x^3\right) \log \left(\frac{4-x^2}{x^2}\right)}{-60 x+15 x^3} \, dx","Integrate[(-120*E^x + 4*x - x^3 + E^x*(60*x - 15*x^3)*Log[(4 - x^2)/x^2])/(-60*x + 15*x^3),x]","\frac{1}{15} \left(-15 e^x \log \left(\frac{4}{x^2}-1\right)-x\right)","-e^x \log \left(\frac{4}{x^2}-1\right)+\frac{1}{15} \left(-x-e^2\right)+2",1,"(-x - 15*E^x*Log[-1 + 4/x^2])/15","A",1
4576,1,32,25,0.3530713,"\int \frac{17-37 x+15 x^2+\left(7-17 x+6 x^2\right) \log (6)+\left(-7+17 x-6 x^2\right) \log (-7+3 x)}{-7+17 x-27 x^2+23 x^3-13 x^4+3 x^5} \, dx","Integrate[(17 - 37*x + 15*x^2 + (7 - 17*x + 6*x^2)*Log[6] + (-7 + 17*x - 6*x^2)*Log[-7 + 3*x])/(-7 + 17*x - 27*x^2 + 23*x^3 - 13*x^4 + 3*x^5),x]","\frac{111 \log (3 x-7)-222+73 \log (36)-257 \log (6)}{111 \left(x^2-x+1\right)}","\frac{\log (2 (x-4)+x+1)-2-\log (6)}{(x-1)^2+x}",1,"(-222 - 257*Log[6] + 73*Log[36] + 111*Log[-7 + 3*x])/(111*(1 - x + x^2))","A",1
4577,1,17,17,0.0169024,"\int \frac{3 e^3 x^2+e^{2 x} \left(3 x^2+2 x^3\right)}{\log (5)} \, dx","Integrate[(3*E^3*x^2 + E^(2*x)*(3*x^2 + 2*x^3))/Log[5],x]","\frac{\left(e^{2 x}+e^3\right) x^3}{\log (5)}","\frac{\left(e^{2 x}+e^3\right) x^3}{\log (5)}",1,"((E^3 + E^(2*x))*x^3)/Log[5]","A",1
4578,1,21,24,0.3324278,"\int \frac{80-16 x-4 x^2+\left(80+4 x^2\right) \log \left(-\frac{x}{\log (5)}\right)}{400-160 x-24 x^2+8 x^3+x^4} \, dx","Integrate[(80 - 16*x - 4*x^2 + (80 + 4*x^2)*Log[-(x/Log[5])])/(400 - 160*x - 24*x^2 + 8*x^3 + x^4),x]","-\frac{4 x \log \left(-\frac{x}{\log (5)}\right)}{x^2+4 x-20}","\frac{x \log \left(-\frac{x}{\log (5)}\right)}{5-\left(\frac{x}{4}+1\right) x}",1,"(-4*x*Log[-(x/Log[5])])/(-20 + 4*x + x^2)","A",1
4579,1,24,28,0.0503488,"\int \frac{\exp \left(\log ^2\left(\frac{1}{2} \left(4+x^2+\log \left(2+e^x (-2+x)\right)\right)\right)\right) \left(8 x+e^x \left(-2-6 x+4 x^2\right)\right) \log \left(\frac{1}{2} \left(4+x^2+\log \left(2+e^x (-2+x)\right)\right)\right)}{8+2 x^2+e^x \left(-8+4 x-2 x^2+x^3\right)+\left(2+e^x (-2+x)\right) \log \left(2+e^x (-2+x)\right)} \, dx","Integrate[(E^Log[(4 + x^2 + Log[2 + E^x*(-2 + x)])/2]^2*(8*x + E^x*(-2 - 6*x + 4*x^2))*Log[(4 + x^2 + Log[2 + E^x*(-2 + x)])/2])/(8 + 2*x^2 + E^x*(-8 + 4*x - 2*x^2 + x^3) + (2 + E^x*(-2 + x))*Log[2 + E^x*(-2 + x)]),x]","e^{\log ^2\left(\frac{1}{2} \left(x^2+\log \left(e^x (x-2)+2\right)+4\right)\right)}","\exp \left(\log ^2\left(\frac{1}{2} \left(x^2+\log \left(2-e^x (2-x)\right)\right)+2\right)\right)",1,"E^Log[(4 + x^2 + Log[2 + E^x*(-2 + x)])/2]^2","A",1
4580,1,16,26,0.2347406,"\int \frac{e \left(50 x+4 x^2\right) \log \left(3+25 x+x^2\right)+e \left(-3-25 x-x^2\right) \log ^2\left(3+25 x+x^2\right)}{3 x^2+25 x^3+x^4} \, dx","Integrate[(E*(50*x + 4*x^2)*Log[3 + 25*x + x^2] + E*(-3 - 25*x - x^2)*Log[3 + 25*x + x^2]^2)/(3*x^2 + 25*x^3 + x^4),x]","\frac{e \log ^2\left(x^2+25 x+3\right)}{x}","\frac{e \log ^2(x (x+25)+3)}{x}+i \pi +\log (3+\log (2))",1,"(E*Log[3 + 25*x + x^2]^2)/x","A",1
4581,1,19,19,0.153052,"\int \frac{-3 x-8 \log \left(\frac{3}{16 x}\right)+\left(-3 x+4 \log ^2\left(\frac{3}{16 x}\right)\right) \log \left(\frac{1}{4} \left(-3 x+4 \log ^2\left(\frac{3}{16 x}\right)\right)\right)}{-3 x+4 \log ^2\left(\frac{3}{16 x}\right)} \, dx","Integrate[(-3*x - 8*Log[3/(16*x)] + (-3*x + 4*Log[3/(16*x)]^2)*Log[(-3*x + 4*Log[3/(16*x)]^2)/4])/(-3*x + 4*Log[3/(16*x)]^2),x]","x \log \left(\log ^2\left(\frac{3}{16 x}\right)-\frac{3 x}{4}\right)","x \log \left(\log ^2\left(\frac{3}{16 x}\right)-\frac{3 x}{4}\right)",1,"x*Log[(-3*x)/4 + Log[3/(16*x)]^2]","A",1
4582,1,18,18,0.0066427,"\int e^{-24+2 x} \left(8+8 e^{12} \log (4)+2 e^{24} \log ^2(4)\right) \, dx","Integrate[E^(-24 + 2*x)*(8 + 8*E^12*Log[4] + 2*E^24*Log[4]^2),x]","e^{2 x-24} \left(2+e^{12} \log (4)\right)^2","e^{2 x} \left(-\frac{2}{e^{12}}-\log (4)\right)^2",1,"E^(-24 + 2*x)*(2 + E^12*Log[4])^2","A",1
4583,1,22,26,0.2899217,"\int \frac{e^x \left(50 x \log (5)+450 \log ^2(5)\right)+\left(100 \log (5)+25 e^x \log (5)\right) \log \left(\frac{12}{4+e^x}\right)}{\left(4+e^x\right) \log ^3\left(\frac{12}{4+e^x}\right)} \, dx","Integrate[(E^x*(50*x*Log[5] + 450*Log[5]^2) + (100*Log[5] + 25*E^x*Log[5])*Log[12/(4 + E^x)])/((4 + E^x)*Log[12/(4 + E^x)]^3),x]","\frac{25 \log (5) (x+9 \log (5))}{\log ^2\left(\frac{12}{e^x+4}\right)}","\frac{25 \log (5) (x+9 \log (5))}{\log ^2\left(\frac{3}{\frac{e^x}{4}+1}\right)}",1,"(25*Log[5]*(x + 9*Log[5]))/Log[12/(4 + E^x)]^2","A",1
4584,1,33,36,0.1766814,"\int \frac{e^{2 e^{6 x}-4 e^{3 x} x^2+2 x^4} \left(\left(24-8 x^2\right) \log \left(\frac{3+x^2-x \log (2)}{x}\right)+\left(-96 x^4-32 x^6+32 x^5 \log (2)+e^{6 x} \left(-144 x-48 x^3+48 x^2 \log (2)\right)+e^{3 x} \left(96 x^2+144 x^3+32 x^4+48 x^5+\left(-32 x^3-48 x^4\right) \log (2)\right)\right) \log ^2\left(\frac{3+x^2-x \log (2)}{x}\right)\right)}{-3 x-x^3+x^2 \log (2)} \, dx","Integrate[(E^(2*E^(6*x) - 4*E^(3*x)*x^2 + 2*x^4)*((24 - 8*x^2)*Log[(3 + x^2 - x*Log[2])/x] + (-96*x^4 - 32*x^6 + 32*x^5*Log[2] + E^(6*x)*(-144*x - 48*x^3 + 48*x^2*Log[2]) + E^(3*x)*(96*x^2 + 144*x^3 + 32*x^4 + 48*x^5 + (-32*x^3 - 48*x^4)*Log[2]))*Log[(3 + x^2 - x*Log[2])/x]^2))/(-3*x - x^3 + x^2*Log[2]),x]","4 e^{2 \left(e^{3 x}-x^2\right)^2} \log ^2\left(x+\frac{3}{x}-\log (2)\right)","4 e^{2 \left(e^{3 x}-x^2\right)^2} \log ^2\left(\frac{x^2+3}{x}-\log (2)\right)",1,"4*E^(2*(E^(3*x) - x^2)^2)*Log[3/x + x - Log[2]]^2","A",1
4585,1,13,13,0.0176309,"\int 6 e^{11+e-2 e^{11-3 x}-3 x} \, dx","Integrate[6*E^(11 + E - 2*E^(11 - 3*x) - 3*x),x]","e^{e-2 e^{11-3 x}}","e^{e-2 e^{11-3 x}}",1,"E^(E - 2*E^(11 - 3*x))","A",1
4586,1,252,39,0.0696763,"\int \frac{-1875 x^3-8250 x^4-4806 x^5+16380 x^6+5952 x^7-22224 x^8+2304 x^9+10560 x^{10}-5376 x^{11}+768 x^{12}-2 x^3 \log (3)+\left(11250 x^2+28875 x^3-16200 x^4-37980 x^5+53328 x^6+5328 x^7-34560 x^8+16320 x^9-2304 x^{10}\right) \log (x)+\left(-22500 x-20250 x^2+36900 x^3-37440 x^4-4896 x^5+30816 x^6-15552 x^7+2304 x^8\right) \log ^2(x)+\left(15000-1500 x+20400 x^2-20640 x^3+384 x^4+3648 x^5-768 x^6\right) \log ^3(x)+\left(-15000+18000 x-7200 x^2+960 x^3\right) \log ^4(x)}{6 x^5} \, dx","Integrate[(-1875*x^3 - 8250*x^4 - 4806*x^5 + 16380*x^6 + 5952*x^7 - 22224*x^8 + 2304*x^9 + 10560*x^10 - 5376*x^11 + 768*x^12 - 2*x^3*Log[3] + (11250*x^2 + 28875*x^3 - 16200*x^4 - 37980*x^5 + 53328*x^6 + 5328*x^7 - 34560*x^8 + 16320*x^9 - 2304*x^10)*Log[x] + (-22500*x - 20250*x^2 + 36900*x^3 - 37440*x^4 - 4896*x^5 + 30816*x^6 - 15552*x^7 + 2304*x^8)*Log[x]^2 + (15000 - 1500*x + 20400*x^2 - 20640*x^3 + 384*x^4 + 3648*x^5 - 768*x^6)*Log[x]^3 + (-15000 + 18000*x - 7200*x^2 + 960*x^3)*Log[x]^4)/(6*x^5),x]","16 x^8-128 x^7+304 x^6-64 x^6 \log (x)-32 x^5+544 x^5 \log (x)-554 x^4+\frac{625 \log ^4(x)}{x^4}+96 x^4 \log ^2(x)-1488 x^4 \log (x)+40 x^3-\frac{1000 \log ^4(x)}{x^3}-\frac{1250 \log ^3(x)}{x^3}-864 x^3 \log ^2(x)+872 x^3 \log (x)+475 x^2+\frac{600 \log ^4(x)}{x^2}-64 x^2 \log ^3(x)-\frac{500 \log ^3(x)}{x^2}+2664 x^2 \log ^2(x)+\frac{1875 \log ^2(x)}{2 x^2}+1780 x^2 \log (x)+249 x+16 \log ^4(x)-\frac{160 \log ^4(x)}{x}+608 x \log ^3(x)-2080 \log ^3(x)+\frac{2800 \log ^3(x)}{x}-2640 x \log ^2(x)-1350 \log ^2(x)+\frac{2250 \log ^2(x)}{x}-1050 x \log (x)-1375 \log (x)-\frac{625 \log (x)}{2 x}+\frac{\log (9)}{6 x}","-x+(2 x-5)^4 \left(x+\frac{\frac{x}{2}-\log (x)}{x}\right)^4+\frac{\log (3)}{3 x}",1,"249*x + 475*x^2 + 40*x^3 - 554*x^4 - 32*x^5 + 304*x^6 - 128*x^7 + 16*x^8 + Log[9]/(6*x) - 1375*Log[x] - (625*Log[x])/(2*x) - 1050*x*Log[x] + 1780*x^2*Log[x] + 872*x^3*Log[x] - 1488*x^4*Log[x] + 544*x^5*Log[x] - 64*x^6*Log[x] - 1350*Log[x]^2 + (1875*Log[x]^2)/(2*x^2) + (2250*Log[x]^2)/x - 2640*x*Log[x]^2 + 2664*x^2*Log[x]^2 - 864*x^3*Log[x]^2 + 96*x^4*Log[x]^2 - 2080*Log[x]^3 - (1250*Log[x]^3)/x^3 - (500*Log[x]^3)/x^2 + (2800*Log[x]^3)/x + 608*x*Log[x]^3 - 64*x^2*Log[x]^3 + 16*Log[x]^4 + (625*Log[x]^4)/x^4 - (1000*Log[x]^4)/x^3 + (600*Log[x]^4)/x^2 - (160*Log[x]^4)/x","B",1
4587,1,19,19,0.0580825,"\int \frac{e^{e^3+x} \left(64 x+32 x^2\right)}{64 e^{2 e^3+2 x} x^4-16 e^{e^3+x} x^2 \log (16)+\log ^2(16)} \, dx","Integrate[(E^(E^3 + x)*(64*x + 32*x^2))/(64*E^(2*E^3 + 2*x)*x^4 - 16*E^(E^3 + x)*x^2*Log[16] + Log[16]^2),x]","\frac{4}{\log (16)-8 e^{x+e^3} x^2}","\frac{4}{\log (16)-8 e^{x+e^3} x^2}",1,"4/(-8*E^(E^3 + x)*x^2 + Log[16])","A",1
4588,1,22,21,0.0530183,"\int \frac{4-8 e^3+4 e^{3+x} x}{e^3 \left(1+2 x+x^2\right)} \, dx","Integrate[(4 - 8*E^3 + 4*E^(3 + x)*x)/(E^3*(1 + 2*x + x^2)),x]","\frac{4 \left(e^{x+3}-1+2 e^3\right)}{e^3 (x+1)}","-\frac{4 x \left(x-e^x+\frac{1}{e^3}-1\right)}{x^2+x}",1,"(4*(-1 + 2*E^3 + E^(3 + x)))/(E^3*(1 + x))","A",1
4589,1,76,32,0.2957752,"\int \frac{-8 x-8 x^2+8 x \log (5)+\left(16 x+20 x^2+e^5 (4+8 x)+\left(-4 e^5-16 x\right) \log (5)\right) \log \left(e^5+x\right)+\left(e^5 (-12-24 x)-12 x-24 x^2+\left(12 e^5+12 x\right) \log (5)\right) \log ^2\left(e^5+x\right)+\left(9 x+16 x^2-3 x^3+e^5 \left(9+16 x-3 x^2\right)+\left(-9 x+2 x^2+e^5 (-9+2 x)\right) \log (5)\right) \log ^3\left(e^5+x\right)}{\left(e^5+x\right) \log ^3\left(e^5+x\right)} \, dx","Integrate[(-8*x - 8*x^2 + 8*x*Log[5] + (16*x + 20*x^2 + E^5*(4 + 8*x) + (-4*E^5 - 16*x)*Log[5])*Log[E^5 + x] + (E^5*(-12 - 24*x) - 12*x - 24*x^2 + (12*E^5 + 12*x)*Log[5])*Log[E^5 + x]^2 + (9*x + 16*x^2 - 3*x^3 + E^5*(9 + 16*x - 3*x^2) + (-9*x + 2*x^2 + E^5*(-9 + 2*x))*Log[5])*Log[E^5 + x]^3)/((E^5 + x)*Log[E^5 + x]^3),x]","12 \left(-1+2 e^5+\log (5)\right) \text{Ei}\left(\log \left(x+e^5\right)\right)-12 \left(-1+2 e^5+\log (5)\right) \text{li}\left(x+e^5\right)-\frac{x (x+1-\log (5)) \left((x-9) \log ^2\left(x+e^5\right)+12 \log \left(x+e^5\right)-4\right)}{\log ^2\left(x+e^5\right)}","\left(-x^2-x+x \log (5)\right) \left(x-\left(\frac{2}{\log \left(x+e^5\right)}-3\right)^2\right)",1,"12*ExpIntegralEi[Log[E^5 + x]]*(-1 + 2*E^5 + Log[5]) - (x*(1 + x - Log[5])*(-4 + 12*Log[E^5 + x] + (-9 + x)*Log[E^5 + x]^2))/Log[E^5 + x]^2 - 12*(-1 + 2*E^5 + Log[5])*LogIntegral[E^5 + x]","C",1
4590,1,25,25,0.0288164,"\int \frac{-16-144 e^3+16 e^{e^9}+288 x}{x^2+81 e^6 x^2+e^{2 e^9} x^2-18 x^3+81 x^4+e^3 \left(18 x^2-162 x^3\right)+e^{e^9} \left(-2 x^2-18 e^3 x^2+18 x^3\right)} \, dx","Integrate[(-16 - 144*E^3 + 16*E^E^9 + 288*x)/(x^2 + 81*E^6*x^2 + E^(2*E^9)*x^2 - 18*x^3 + 81*x^4 + E^3*(18*x^2 - 162*x^3) + E^E^9*(-2*x^2 - 18*E^3*x^2 + 18*x^3)),x]","\frac{16}{-9 x^2-e^{e^9} x+9 e^3 x+x}","\frac{16}{\left(9 \left(e^3-x\right)-e^{e^9}+1\right) x}",1,"16/(x + 9*E^3*x - E^E^9*x - 9*x^2)","A",1
4591,1,26,22,1.5140128,"\int e^{4 e^{2 x}-e^x (1-4 x)+x^2} \left(40 e^{2 x}+e^{-4 e^{2 x}+e^x (1-4 x)-x^2}+10 x+e^x (15+20 x)\right) \, dx","Integrate[E^(4*E^(2*x) - E^x*(1 - 4*x) + x^2)*(40*E^(2*x) + E^(-4*E^(2*x) + E^x*(1 - 4*x) - x^2) + 10*x + E^x*(15 + 20*x)),x]","5 e^{x^2+4 e^{2 x}+e^x (4 x-1)}+x","x+5 e^{\left(x+2 e^x\right)^2-e^x}+3",1,"5*E^(4*E^(2*x) + x^2 + E^x*(-1 + 4*x)) + x","A",1
4592,1,32,32,1.2726406,"\int \frac{90+30 x+45 x^2+15 x^3+e^x \left(45-30 x-15 x^2\right)+e^{\frac{1}{5} (x+5 \log (3+x))} \left(-93-87 x-3 x^2+3 x^3+e^x (21+12 x)\right)}{15 x^2+5 x^3+e^{\frac{2}{5} (x+5 \log (3+x))} (15+5 x)+e^{\frac{1}{5} (x+5 \log (3+x))} \left(-30 x-10 x^2\right)} \, dx","Integrate[(90 + 30*x + 45*x^2 + 15*x^3 + E^x*(45 - 30*x - 15*x^2) + E^((x + 5*Log[3 + x])/5)*(-93 - 87*x - 3*x^2 + 3*x^3 + E^x*(21 + 12*x)))/(15*x^2 + 5*x^3 + E^((2*(x + 5*Log[3 + x]))/5)*(15 + 5*x) + E^((x + 5*Log[3 + x])/5)*(-30*x - 10*x^2)),x]","\frac{3 \left(-x^2-x+e^x+2\right)}{e^{x/5} (x+3)-x}","\frac{3 \left(-x^2-x+e^x+2\right)}{e^{x/5} (x+3)-x}",1,"(3*(2 + E^x - x - x^2))/(-x + E^(x/5)*(3 + x))","A",1
4593,1,23,27,0.2917426,"\int \frac{-6144 x^3+24 x^4+\left(-1572894 x^2+12288 x^3-24 x^4\right) \log \left(262149-2048 x+4 x^2\right)+\left(-262149+2048 x-4 x^2\right) \log ^2\left(262149-2048 x+4 x^2\right)}{\left(262149 x-2048 x^2+4 x^3\right) \log ^2\left(262149-2048 x+4 x^2\right)} \, dx","Integrate[(-6144*x^3 + 24*x^4 + (-1572894*x^2 + 12288*x^3 - 24*x^4)*Log[262149 - 2048*x + 4*x^2] + (-262149 + 2048*x - 4*x^2)*Log[262149 - 2048*x + 4*x^2]^2)/((262149*x - 2048*x^2 + 4*x^3)*Log[262149 - 2048*x + 4*x^2]^2),x]","-\frac{3 x^2}{\log \left(4 x^2-2048 x+262149\right)}-\log (x)","-\frac{3 x^2}{\log \left(4 (256-x)^2+5\right)}-\log (x)+e^3",1,"-Log[x] - (3*x^2)/Log[262149 - 2048*x + 4*x^2]","A",1
4594,0,0,22,7.3414822,"\int \frac{\exp \left(\frac{1}{9} \left(2 x^2+4 x^3+2 x^4+\left(4 x+4 x^2\right) \log \left(\frac{1}{8} (7 x+8 \log (x))\right)+2 \log ^2\left(\frac{1}{8} (7 x+8 \log (x))\right)\right)\right) \left(32 x+60 x^2+56 x^3+84 x^4+56 x^5+\left(32 x^2+96 x^3+64 x^4\right) \log (x)+\left(32+28 x+28 x^2+56 x^3+\left(32 x+64 x^2\right) \log (x)\right) \log \left(\frac{1}{8} (7 x+8 \log (x))\right)\right)}{63 x^2+72 x \log (x)} \, dx","Integrate[(E^((2*x^2 + 4*x^3 + 2*x^4 + (4*x + 4*x^2)*Log[(7*x + 8*Log[x])/8] + 2*Log[(7*x + 8*Log[x])/8]^2)/9)*(32*x + 60*x^2 + 56*x^3 + 84*x^4 + 56*x^5 + (32*x^2 + 96*x^3 + 64*x^4)*Log[x] + (32 + 28*x + 28*x^2 + 56*x^3 + (32*x + 64*x^2)*Log[x])*Log[(7*x + 8*Log[x])/8]))/(63*x^2 + 72*x*Log[x]),x]","\int \frac{\exp \left(\frac{1}{9} \left(2 x^2+4 x^3+2 x^4+\left(4 x+4 x^2\right) \log \left(\frac{1}{8} (7 x+8 \log (x))\right)+2 \log ^2\left(\frac{1}{8} (7 x+8 \log (x))\right)\right)\right) \left(32 x+60 x^2+56 x^3+84 x^4+56 x^5+\left(32 x^2+96 x^3+64 x^4\right) \log (x)+\left(32+28 x+28 x^2+56 x^3+\left(32 x+64 x^2\right) \log (x)\right) \log \left(\frac{1}{8} (7 x+8 \log (x))\right)\right)}{63 x^2+72 x \log (x)} \, dx","e^{\frac{2}{9} \left(x^2+x+\log \left(\frac{7 x}{8}+\log (x)\right)\right)^2}",1,"Integrate[(E^((2*x^2 + 4*x^3 + 2*x^4 + (4*x + 4*x^2)*Log[(7*x + 8*Log[x])/8] + 2*Log[(7*x + 8*Log[x])/8]^2)/9)*(32*x + 60*x^2 + 56*x^3 + 84*x^4 + 56*x^5 + (32*x^2 + 96*x^3 + 64*x^4)*Log[x] + (32 + 28*x + 28*x^2 + 56*x^3 + (32*x + 64*x^2)*Log[x])*Log[(7*x + 8*Log[x])/8]))/(63*x^2 + 72*x*Log[x]), x]","F",-1
4595,1,51,28,0.0644481,"\int \frac{1}{8} \left(33+e^{6-2 x}-x+e^{3-x} (-26+x-\log (3))+\log (3)\right) \, dx","Integrate[(33 + E^(6 - 2*x) - x + E^(3 - x)*(-26 + x - Log[3]) + Log[3])/8,x]","\frac{1}{8} \left(-\frac{x^2}{2}+33 x-\frac{1}{2} e^{6-2 x}+x \log (3)+e^{-x} \left(e^3 (25+\log (3))-e^3 x\right)\right)","x-\left(\frac{1}{4} \left(-x-e^{3-x}-3+\log (3)\right)+7\right)^2",1,"(-1/2*E^(6 - 2*x) + 33*x - x^2/2 + x*Log[3] + (-(E^3*x) + E^3*(25 + Log[3]))/E^x)/8","A",1
4596,1,31,31,0.2932605,"\int \frac{-3 x \log (3)+e^{\frac{-x^2+(-2+2 x) \log (3)}{\log (3)}} \left(6 x^2-6 x \log (3)\right)+\left(6 e^{\frac{-x^2+(-2+2 x) \log (3)}{\log (3)}} \log (3)+6 x \log (3)\right) \log (x)}{36 e^{\frac{-x^2+(-2+2 x) \log (3)}{\log (3)}} x \log (3)+36 x^2 \log (3)+\left(-12 e^{\frac{-x^2+(-2+2 x) \log (3)}{\log (3)}} x \log (3)-12 x^2 \log (3)\right) \log ^2(x)+\left(e^{\frac{-x^2+(-2+2 x) \log (3)}{\log (3)}} x \log (3)+x^2 \log (3)\right) \log ^4(x)+\left(12 e^{\frac{-x^2+(-2+2 x) \log (3)}{\log (3)}} x \log (3)+12 x^2 \log (3)+\left(-2 e^{\frac{-x^2+(-2+2 x) \log (3)}{\log (3)}} x \log (3)-2 x^2 \log (3)\right) \log ^2(x)\right) \log \left(e^{\frac{-x^2+(-2+2 x) \log (3)}{\log (3)}}+x\right)+\left(e^{\frac{-x^2+(-2+2 x) \log (3)}{\log (3)}} x \log (3)+x^2 \log (3)\right) \log ^2\left(e^{\frac{-x^2+(-2+2 x) \log (3)}{\log (3)}}+x\right)} \, dx","Integrate[(-3*x*Log[3] + E^((-x^2 + (-2 + 2*x)*Log[3])/Log[3])*(6*x^2 - 6*x*Log[3]) + (6*E^((-x^2 + (-2 + 2*x)*Log[3])/Log[3])*Log[3] + 6*x*Log[3])*Log[x])/(36*E^((-x^2 + (-2 + 2*x)*Log[3])/Log[3])*x*Log[3] + 36*x^2*Log[3] + (-12*E^((-x^2 + (-2 + 2*x)*Log[3])/Log[3])*x*Log[3] - 12*x^2*Log[3])*Log[x]^2 + (E^((-x^2 + (-2 + 2*x)*Log[3])/Log[3])*x*Log[3] + x^2*Log[3])*Log[x]^4 + (12*E^((-x^2 + (-2 + 2*x)*Log[3])/Log[3])*x*Log[3] + 12*x^2*Log[3] + (-2*E^((-x^2 + (-2 + 2*x)*Log[3])/Log[3])*x*Log[3] - 2*x^2*Log[3])*Log[x]^2)*Log[E^((-x^2 + (-2 + 2*x)*Log[3])/Log[3]) + x] + (E^((-x^2 + (-2 + 2*x)*Log[3])/Log[3])*x*Log[3] + x^2*Log[3])*Log[E^((-x^2 + (-2 + 2*x)*Log[3])/Log[3]) + x]^2),x]","-\frac{3}{-\log \left(e^{-\frac{x^2}{\log (3)}+2 x-2}+x\right)+\log ^2(x)-6}","\frac{3}{\log \left(e^{-\frac{x^2}{\log (3)}+2 x-2}+x\right)-\log ^2(x)+6}",1,"-3/(-6 + Log[x]^2 - Log[E^(-2 + 2*x - x^2/Log[3]) + x])","A",1
4597,1,16,21,0.0812525,"\int \frac{e^x \log (2)+(-1-20 x) \log (2)+\left(20 x \log (2)-e^x x \log (2)\right) \log (x)}{x \log ^2(x)} \, dx","Integrate[(E^x*Log[2] + (-1 - 20*x)*Log[2] + (20*x*Log[2] - E^x*x*Log[2])*Log[x])/(x*Log[x]^2),x]","-\frac{\left(-20 x+e^x-1\right) \log (2)}{\log (x)}","\frac{\left(4 (5 x-1)-e^x+5\right) \log (2)}{\log (x)}",1,"-(((-1 + E^x - 20*x)*Log[2])/Log[x])","A",1
4598,1,22,28,0.0707676,"\int \frac{-5+e^{9+e^{9-x}-x} \left(-50-25 x-3 x^2\right)}{50+25 x+3 x^2} \, dx","Integrate[(-5 + E^(9 + E^(9 - x) - x)*(-50 - 25*x - 3*x^2))/(50 + 25*x + 3*x^2),x]","e^{e^{9-x}}+\log (x+5)-\log (3 x+10)","e^{e^{9-x}}-\log \left(\frac{x^2}{x^2+5 x}+2\right)",1,"E^E^(9 - x) + Log[5 + x] - Log[10 + 3*x]","A",1
4599,1,18,18,0.0395965,"\int \frac{\left(4+2 e^4+2 \log (x)\right) \log \left(e^8 x+2 e^4 x \log (x)+x \log ^2(x)\right)}{3 e^4 x+e^4 x \log (2)+(3 x+x \log (2)) \log (x)+\left(e^4 x+x \log (x)\right) \log ^2\left(e^8 x+2 e^4 x \log (x)+x \log ^2(x)\right)} \, dx","Integrate[((4 + 2*E^4 + 2*Log[x])*Log[E^8*x + 2*E^4*x*Log[x] + x*Log[x]^2])/(3*E^4*x + E^4*x*Log[2] + (3*x + x*Log[2])*Log[x] + (E^4*x + x*Log[x])*Log[E^8*x + 2*E^4*x*Log[x] + x*Log[x]^2]^2),x]","\log \left(\log ^2\left(x \left(\log (x)+e^4\right)^2\right)+3+\log (2)\right)","\log \left(\log ^2\left(x \left(\log (x)+e^4\right)^2\right)+3+\log (2)\right)",1,"Log[3 + Log[2] + Log[x*(E^4 + Log[x])^2]^2]","A",1
4600,1,29,29,0.1420233,"\int \frac{\exp \left(-2 x-\frac{1}{5} e^{-2 x} \left(5 e^{-e^x+x} x+x^2\right)\right) \left(-5 e^{2 x}-2 x^2+2 x^3+e^{-e^x+x} \left(-5 x+5 x^2+5 e^x x^2\right)\right)}{5 x^2} \, dx","Integrate[(E^(-2*x - (5*E^(-E^x + x)*x + x^2)/(5*E^(2*x)))*(-5*E^(2*x) - 2*x^2 + 2*x^3 + E^(-E^x + x)*(-5*x + 5*x^2 + 5*E^x*x^2)))/(5*x^2),x]","\frac{e^{-\frac{1}{5} e^{-2 x} x \left(x+5 e^{x-e^x}\right)}}{x}","\frac{e^{-e^{-2 x} \left(\frac{x}{5}+e^{x-e^x}\right) x}}{x}",1,"1/(E^((x*(5*E^(-E^x + x) + x))/(5*E^(2*x)))*x)","A",1
4601,1,24,24,0.0188741,"\int \frac{e^8 \left(-75-50 x-25 x^3+\frac{x^2 \left(108 x^2+108 x^3+36 x^4+4 x^5\right)}{e^8}\right)}{x^2 \left(54 x+54 x^2+18 x^3+2 x^4\right)} \, dx","Integrate[(E^8*(-75 - 50*x - 25*x^3 + (x^2*(108*x^2 + 108*x^3 + 36*x^4 + 4*x^5))/E^8))/(x^2*(54*x + 54*x^2 + 18*x^3 + 2*x^4)),x]","x^2+\frac{25 e^8 \left(x^2+1\right)}{4 (x+3)^2 x^2}","x^2+\frac{25 e^8 \left(x^2+1\right)}{4 (x+3)^2 x^2}",1,"x^2 + (25*E^8*(1 + x^2))/(4*x^2*(3 + x)^2)","A",1
4602,1,21,26,0.7170204,"\int \frac{e^{2 e^e+2 (-5+x) \log ^4(2+x)} \left(e^{2 x^2} \left(8 x+4 x^2\right)+e^{2 x^2} (-40+8 x) \log ^3(2+x)+e^{2 x^2} (4+2 x) \log ^4(2+x)\right)}{2+x} \, dx","Integrate[(E^(2*E^E + 2*(-5 + x)*Log[2 + x]^4)*(E^(2*x^2)*(8*x + 4*x^2) + E^(2*x^2)*(-40 + 8*x)*Log[2 + x]^3 + E^(2*x^2)*(4 + 2*x)*Log[2 + x]^4))/(2 + x),x]","e^{2 \left(x^2+(x-5) \log ^4(x+2)+e^e\right)}","e^{2 x^2-2 (5-x) \log ^4(x+2)+2 e^e}",1,"E^(2*(E^E + x^2 + (-5 + x)*Log[2 + x]^4))","A",1
4603,1,27,31,0.172249,"\int \frac{e^{\frac{1}{3} \left(5-\log \left(6 x^2-x^3\right)\right)} (-4+x)-18 x+3 x^2+\left(6 x-x^2\right) \log (20)}{-6 x+x^2} \, dx","Integrate[(E^((5 - Log[6*x^2 - x^3])/3)*(-4 + x) - 18*x + 3*x^2 + (6*x - x^2)*Log[20])/(-6*x + x^2),x]","-\frac{e^{5/3}}{\sqrt[3]{-\left((x-6) x^2\right)}}-(x (\log (20)-3))","-e^{\frac{1}{3} \left(5-\log \left((6-x) x^2\right)\right)}+3 x+x (-\log (20))",1,"-(E^(5/3)/(-((-6 + x)*x^2))^(1/3)) - x*(-3 + Log[20])","A",1
4604,1,29,31,0.1536658,"\int \frac{-27+27 x+72 x^2+\exp \left(\frac{1}{9} \left(100 x^2+40 x^3+44 x^4+8 x^5+4 x^6\right)\right) \left(200 x^2+120 x^3+176 x^4+40 x^5+24 x^6\right)}{9 x} \, dx","Integrate[(-27 + 27*x + 72*x^2 + E^((100*x^2 + 40*x^3 + 44*x^4 + 8*x^5 + 4*x^6)/9)*(200*x^2 + 120*x^3 + 176*x^4 + 40*x^5 + 24*x^6))/(9*x),x]","e^{\frac{4}{9} x^2 \left(x^2+x+5\right)^2}+x (4 x+3)-3 \log (x)","4 x^2+e^{\frac{4}{9} x^2 \left(x^2+x+5\right)^2}+3 (x-\log (x))",1,"E^((4*x^2*(5 + x + x^2)^2)/9) + x*(3 + 4*x) - 3*Log[x]","A",1
4605,1,22,19,0.1790385,"\int \frac{25 e^{4 x}+256 x^2+e^{2 x} (160 x+(8-16 x) \log (2))}{25 e^{4 x}+160 e^{2 x} x+256 x^2} \, dx","Integrate[(25*E^(4*x) + 256*x^2 + E^(2*x)*(160*x + (8 - 16*x)*Log[2]))/(25*E^(4*x) + 160*E^(2*x)*x + 256*x^2),x]","x+\frac{8 x \log (2)}{5 \left(16 x+5 e^{2 x}\right)}","x-\frac{\log (2)}{32 e^{-2 x} x+10}+30",1,"x + (8*x*Log[2])/(5*(5*E^(2*x) + 16*x))","A",1
4606,1,45,24,0.0960462,"\int \frac{-2+3 x+2 x^2+\frac{e^{12-2 x} \left(6 x+2 x^2\right)}{(4+2 x)^2}}{2 x+x^2} \, dx","Integrate[(-2 + 3*x + 2*x^2 + (E^(12 - 2*x)*(6*x + 2*x^2))/(4 + 2*x)^2)/(2*x + x^2),x]","2 x+\frac{e^{12-2 x} (2 x+3)}{4 (x+2)^2}-\frac{e^{12-2 x}}{2 (x+2)}-\log (x)","2 x-\frac{e^{12-2 x}}{(2 x+4)^2}-\log (x)",1,"2*x - E^(12 - 2*x)/(2*(2 + x)) + (E^(12 - 2*x)*(3 + 2*x))/(4*(2 + x)^2) - Log[x]","A",1
4607,1,6,16,0.0000651,"\int -2 e^2 \, dx","Integrate[-2*E^2,x]","-2 e^2 x","-2 e^2 x+e^{e^2}+e^{25}-25",1,"-2*E^2*x","A",1
4608,1,19,19,0.2153722,"\int \frac{-14+2 x+6 x^2}{48-56 x+4 x^2+8 x^3+\left(12-14 x+x^2+2 x^3\right) \log \left(-12+14 x-x^2-2 x^3\right)} \, dx","Integrate[(-14 + 2*x + 6*x^2)/(48 - 56*x + 4*x^2 + 8*x^3 + (12 - 14*x + x^2 + 2*x^3)*Log[-12 + 14*x - x^2 - 2*x^3]),x]","\log \left(\log \left(-2 x^3-x^2+14 x-12\right)+4\right)","\log (\log ((2 x-3) ((-x-2) x+4))+4)",1,"Log[4 + Log[-12 + 14*x - x^2 - 2*x^3]]","A",1
4609,1,13,14,0.001445,"\int \frac{1}{5} \left(-1-20 x^3-\log (x)\right) \, dx","Integrate[(-1 - 20*x^3 - Log[x])/5,x]","-x^4-\frac{1}{5} x \log (x)","-x^4-\frac{1}{5} x \log (x)+7",1,"-x^4 - (x*Log[x])/5","A",1
4610,1,16,20,0.0025784,"\int \frac{10}{e^4+2 x-\log \left(\frac{4}{3}\right)} \, dx","Integrate[10/(E^4 + 2*x - Log[4/3]),x]","5 \log \left(2 x+e^4-\log \left(\frac{4}{3}\right)\right)","5 \log \left(\frac{1}{2} \left(-2 x-e^4+\log \left(\frac{4}{3}\right)\right)\right)",1,"5*Log[E^4 + 2*x - Log[4/3]]","A",1
4611,1,30,29,0.0301236,"\int \frac{15 x-25 x \log (x)+\left(-4+9 x+2 x^2+3 x^3\right) \log ^2(x)+(5 x-5 x \log (x)) \log \left(x^2\right)}{4 x \log ^2(x)} \, dx","Integrate[(15*x - 25*x*Log[x] + (-4 + 9*x + 2*x^2 + 3*x^3)*Log[x]^2 + (5*x - 5*x*Log[x])*Log[x^2])/(4*x*Log[x]^2),x]","\frac{1}{4} \left(x \left(x^2+x+9\right)-\frac{5 x \left(\log \left(x^2\right)+3\right)}{\log (x)}-4 \log (x)\right)","\frac{1}{4} x \left(x^2-\frac{5 \left(\log \left(x^2\right)+3\right)}{\log (x)}+x+5\right)+x-\log (x)",1,"(x*(9 + x + x^2) - 4*Log[x] - (5*x*(3 + Log[x^2]))/Log[x])/4","A",1
4612,1,16,21,0.0092193,"\int \frac{1}{5} e^{-2 x} \left(-2+e^{2 x} (-5+10 x)\right) \, dx","Integrate[(-2 + E^(2*x)*(-5 + 10*x))/(5*E^(2*x)),x]","x^2-x+\frac{e^{-2 x}}{5}","x^2-x+\frac{e^{-2 x}}{5}+16+\log ^2(2)",1,"1/(5*E^(2*x)) - x + x^2","A",1
4613,1,14,14,0.0425881,"\int \left(-8+2 x+e^{2 e^{4 x+x^2}+4 x+x^2} (8+4 x)+e^{e^{4 x+x^2}} \left(2+e^{4 x+x^2} \left(-32-8 x+4 x^2\right)\right)\right) \, dx","Integrate[-8 + 2*x + E^(2*E^(4*x + x^2) + 4*x + x^2)*(8 + 4*x) + E^E^(4*x + x^2)*(2 + E^(4*x + x^2)*(-32 - 8*x + 4*x^2)),x]","\left(x+e^{e^{x (x+4)}}-4\right)^2","\left(x+e^{e^{x (x+4)}}-4\right)^2",1,"(-4 + E^E^(x*(4 + x)) + x)^2","A",1
4614,1,25,26,0.5211823,"\int \frac{(-3-3 x) \log (3)+(-3-3 x) \log (3) \log \left(x^2\right)+\left(\left(9+9 x-9 x^2\right) \log (3)+\left(3+3 x-3 x^2\right) \log (3) \log \left(x^2\right)\right) \log \left(\frac{9+3 \log \left(x^2\right)}{x}\right)}{3 e^x+e^x \log \left(x^2\right)} \, dx","Integrate[((-3 - 3*x)*Log[3] + (-3 - 3*x)*Log[3]*Log[x^2] + ((9 + 9*x - 9*x^2)*Log[3] + (3 + 3*x - 3*x^2)*Log[3]*Log[x^2])*Log[(9 + 3*Log[x^2])/x])/(3*E^x + E^x*Log[x^2]),x]","3 e^{-x} x (x+1) \log (3) \log \left(\frac{3 \left(\log \left(x^2\right)+3\right)}{x}\right)","3 e^{-x} \left(x^2+x\right) \log (3) \log \left(\frac{3 \left(\log \left(x^2\right)+3\right)}{x}\right)",1,"(3*x*(1 + x)*Log[3]*Log[(3*(3 + Log[x^2]))/x])/E^x","A",1
4615,1,14,14,0.0172209,"\int \frac{2 x-5 x^2-5 x^3+(-1-x) \log \left(1+2 x+x^2\right)}{x^2+x^3} \, dx","Integrate[(2*x - 5*x^2 - 5*x^3 + (-1 - x)*Log[1 + 2*x + x^2])/(x^2 + x^3),x]","\frac{\log \left((x+1)^2\right)}{x}-5 x","\frac{\log \left((x+1)^2\right)}{x}-5 x",1,"-5*x + Log[(1 + x)^2]/x","A",1
4616,1,32,28,0.7562036,"\int \frac{e^{-x} \left(e^{e^{e^{-x} x}} \left(-12 e^x x^2+e^{e^{-x} x} \left(-4 x^3+4 x^4\right)\right)+e^x \left(16 x^3+4 \log (9)\right)\right)}{\log (9)} \, dx","Integrate[(E^E^(x/E^x)*(-12*E^x*x^2 + E^(x/E^x)*(-4*x^3 + 4*x^4)) + E^x*(16*x^3 + 4*Log[9]))/(E^x*Log[9]),x]","\frac{4 x^4-4 e^{e^{e^{-x} x}} x^3+4 x \log (9)}{\log (9)}","4 \left(x-\frac{\left(e^{e^{e^{-x} x}}-x\right) x^3}{\log (9)}\right)",1,"(-4*E^E^(x/E^x)*x^3 + 4*x^4 + 4*x*Log[9])/Log[9]","A",1
4617,1,21,18,0.0033898,"\int \frac{-7 e-14 x-60 \log (4)}{3 \log (4)} \, dx","Integrate[(-7*E - 14*x - 60*Log[4])/(3*Log[4]),x]","-\frac{7 x^2+7 e x+60 x \log (4)}{\log (64)}","2-(x+e) \left(\frac{7 x}{3 \log (4)}+20\right)",1,"-((7*E*x + 7*x^2 + 60*x*Log[4])/Log[64])","A",1
4618,1,13,13,0.1518719,"\int \frac{8 x+e^x x \left(-3-3 x-x^2\right)}{64 x+16 e^x x^2+e^{2 x} x^3} \, dx","Integrate[(8*x + E^x*x*(-3 - 3*x - x^2))/(64*x + 16*E^x*x^2 + E^(2*x)*x^3),x]","\frac{x+3}{e^x x+8}","\frac{x+3}{e^x x+8}",1,"(3 + x)/(8 + E^x*x)","A",1
4619,1,53,30,0.0212803,"\int \frac{-75-500 x-565 x^2+36 x^4+\left(-600-1920 x+440 x^2\right) \log (4)+\left(-1200+320 x-16 x^2\right) \log ^2(4)}{x^4} \, dx","Integrate[(-75 - 500*x - 565*x^2 + 36*x^4 + (-600 - 1920*x + 440*x^2)*Log[4] + (-1200 + 320*x - 16*x^2)*Log[4]^2)/x^4,x]","\frac{25 (1+\log (256))^2}{x^3}-\frac{10 \left(-25+16 \log ^2(4)-96 \log (4)\right)}{x^2}+36 x+\frac{565}{x}+\frac{16 \log ^2(4)}{x}-\frac{440 \log (4)}{x}","\frac{\left(-x-\frac{(x-5) (x+4 (x+\log (4))+1)}{x}+1\right)^2}{x}+4",1,"565/x + 36*x - (440*Log[4])/x + (16*Log[4]^2)/x - (10*(-25 - 96*Log[4] + 16*Log[4]^2))/x^2 + (25*(1 + Log[256])^2)/x^3","A",0
4620,1,27,25,0.1122821,"\int \frac{-5 e+5 e^{e^5 x^2+x^3}+5 x+\left(5 e-10 x+e^{e^5 x^2+x^3} \left(-5-10 e^5 x^2-15 x^3\right)\right) \log (x)}{e^2 x^2+e^{2 e^5 x^2+2 x^3} x^2-2 e x^3+x^4+e^{e^5 x^2+x^3} \left(-2 e x^2+2 x^3\right)} \, dx","Integrate[(-5*E + 5*E^(E^5*x^2 + x^3) + 5*x + (5*E - 10*x + E^(E^5*x^2 + x^3)*(-5 - 10*E^5*x^2 - 15*x^3))*Log[x])/(E^2*x^2 + E^(2*E^5*x^2 + 2*x^3)*x^2 - 2*E*x^3 + x^4 + E^(E^5*x^2 + x^3)*(-2*E*x^2 + 2*x^3)),x]","\frac{5 \log (x)}{x \left(e^{x^3+e^5 x^2}+x-e\right)}","\frac{5 \log (x)}{x \left(e^{x^2 \left(x+e^5\right)}+x-e\right)}",1,"(5*Log[x])/(x*(-E + E^(E^5*x^2 + x^3) + x))","A",1
4621,1,27,27,0.6408408,"\int \frac{e^{\frac{8}{9} e^{-2 x} x^2} \left(-72 e^{2+2 x}+e^2 \left(64 x^2-64 x^3\right)+e^{2 x} \left(-144 e^{2+2 x}+e^2 \left(64 x-64 x^2\right)\right)\right)}{9 e^{8 x}+27 e^{6 x} x+27 e^{4 x} x^2+9 e^{2 x} x^3} \, dx","Integrate[(E^((8*x^2)/(9*E^(2*x)))*(-72*E^(2 + 2*x) + E^2*(64*x^2 - 64*x^3) + E^(2*x)*(-144*E^(2 + 2*x) + E^2*(64*x - 64*x^2))))/(9*E^(8*x) + 27*E^(6*x)*x + 27*E^(4*x)*x^2 + 9*E^(2*x)*x^3),x]","\frac{4 e^{\frac{8}{9} e^{-2 x} x^2+2}}{\left(x+e^{2 x}\right)^2}","\frac{4 e^{\frac{8}{9} e^{-2 x} x^2+2}}{\left(x+e^{2 x}\right)^2}",1,"(4*E^(2 + (8*x^2)/(9*E^(2*x))))/(E^(2*x) + x)^2","A",1
4622,1,17,14,0.0015906,"\int \frac{-5+\log \left(\frac{3}{x}\right)}{x^2} \, dx","Integrate[(-5 + Log[3/x])/x^2,x]","\frac{6}{x}-\frac{\log \left(\frac{3}{x}\right)}{x}","\frac{6-\log \left(\frac{3}{x}\right)}{x}",1,"6/x - Log[3/x]/x","A",1
4623,1,71,32,3.4606028,"\int \frac{\exp \left(\frac{2 x \log (2)+\log (2) \log (2 x)+\log (-4+2 x)}{\log (2)}\right) \left(x+x^2+\left(-2-3 x-2 x^2+2 x^3\right) \log (2)\right)}{\left(-2 x-3 x^2+x^4\right) \log (2)} \, dx","Integrate[(E^((2*x*Log[2] + Log[2]*Log[2*x] + Log[-4 + 2*x])/Log[2])*(x + x^2 + (-2 - 3*x - 2*x^2 + 2*x^3)*Log[2]))/((-2*x - 3*x^2 + x^4)*Log[2]),x]","\frac{\int \frac{\left(x^2+\left(2 x^3-2 x^2-3 x-2\right) \log (2)+x\right) \exp \left(\frac{2 x \log (2)+\log (2) \log (2 x)+\log (2 x-4)}{\log (2)}\right)}{x^4-3 x^2-2 x} \, dx}{\log (2)}","\frac{e^{x \left(\frac{\log (2 x)+\frac{\log (2 x-4)}{\log (2)}}{x}+2\right)}}{x+1}",1,"Integrate[(E^((2*x*Log[2] + Log[2]*Log[2*x] + Log[-4 + 2*x])/Log[2])*(x + x^2 + (-2 - 3*x - 2*x^2 + 2*x^3)*Log[2]))/(-2*x - 3*x^2 + x^4), x]/Log[2]","F",1
4624,1,21,20,0.2821369,"\int \frac{125+e^{1+\frac{1}{25} (-25 x+e x)}+150 x}{-25+25 e^{\frac{1}{25} (-25 x+e x)}+150 x} \, dx","Integrate[(125 + E^(1 + (-25*x + E*x)/25) + 150*x)/(-25 + 25*E^((-25*x + E*x)/25) + 150*x),x]","\log \left(6 e^x x-e^x+e^{\frac{e x}{25}}\right)","x+\log \left(6 x+e^{\frac{e x}{25}-x}-1\right)",1,"Log[-E^x + E^((E*x)/25) + 6*E^x*x]","A",1
4625,1,25,28,0.3007809,"\int \frac{1}{36} e^{\frac{1}{9} \left(-45-9 e^x+4 x\right)} \left(-56-40 x+16 x^2+e^x \left(-441+252 x-36 x^2\right)\right) \, dx","Integrate[(E^((-45 - 9*E^x + 4*x)/9)*(-56 - 40*x + 16*x^2 + E^x*(-441 + 252*x - 36*x^2)))/36,x]","\frac{1}{4} e^{\frac{4 x}{9}-e^x-5} (2 x-7)^2","e^{-5 \left(\frac{x}{9}+1\right)-e^x+x} \left(\frac{7}{2}-x\right)^2",1,"(E^(-5 - E^x + (4*x)/9)*(-7 + 2*x)^2)/4","A",1
4626,1,6,7,0.0006468,"\int \frac{1-3 x}{x} \, dx","Integrate[(1 - 3*x)/x,x]","\log (x)-3 x","-3 x+\log (x)-390621",1,"-3*x + Log[x]","A",1
4627,1,30,30,0.0931946,"\int \frac{\exp \left(\frac{9+24 x^2+72 x^3+70 x^4+96 x^5+216 x^6+216 x^7+81 x^8}{3 x+x^2}\right) \left(-27-18 x+72 x^2+432 x^3+702 x^4+1292 x^5+3528 x^6+4752 x^7+2781 x^8+486 x^9\right)}{9 x^2+6 x^3+x^4} \, dx","Integrate[(E^((9 + 24*x^2 + 72*x^3 + 70*x^4 + 96*x^5 + 216*x^6 + 216*x^7 + 81*x^8)/(3*x + x^2))*(-27 - 18*x + 72*x^2 + 432*x^3 + 702*x^4 + 1292*x^5 + 3528*x^6 + 4752*x^7 + 2781*x^8 + 486*x^9))/(9*x^2 + 6*x^3 + x^4),x]","e^{\frac{\left(9 x^4+12 x^3+4 x^2+3\right)^2}{x (x+3)}}","e^{\frac{\left(\left(3 \left(x^2+x\right)-x\right)^2+3\right)^2}{x (x+3)}}-2",1,"E^((3 + 4*x^2 + 12*x^3 + 9*x^4)^2/(x*(3 + x)))","A",1
4628,1,41,27,7.335666,"\int \frac{\exp \left(\frac{-5-14 x-5 x^2-x^3-x^4+\left(-2 x^2-x^3\right) \log (3)}{1+2 x+x^2}\right) \left(-4+4 x-3 x^2-5 x^3-2 x^4+\left(-4 x-3 x^2-x^3\right) \log (3)\right)}{1+3 x+3 x^2+x^3} \, dx","Integrate[(E^((-5 - 14*x - 5*x^2 - x^3 - x^4 + (-2*x^2 - x^3)*Log[3])/(1 + 2*x + x^2))*(-4 + 4*x - 3*x^2 - 5*x^3 - 2*x^4 + (-4*x - 3*x^2 - x^3)*Log[3]))/(1 + 3*x + 3*x^2 + x^3),x]","3^{-\frac{x^2 (x+2)}{(x+1)^2}} e^{-\frac{x^4+x^3+5 x^2+14 x+5}{(x+1)^2}}","\exp \left(\frac{x (x+2) (x (-x+1-\log (3))-2)}{(x+1)^2}-5\right)",1,"1/(3^((x^2*(2 + x))/(1 + x)^2)*E^((5 + 14*x + 5*x^2 + x^3 + x^4)/(1 + x)^2))","A",1
4629,0,0,34,0.5217482,"\int \frac{81 x^2+18 x^4+x^6+\left(162 x+18 x^3\right) \log (2)+81 \log ^2(2)+\left(-81 x^2-18 x^3-18 x^4-2 x^5-x^6+\left(-162 x-18 x^2-18 x^3\right) \log (2)-81 \log ^2(2)\right) \log (x)+\left(18 x^3+x^4+2 x^5+18 x^2 \log (2)\right) \log ^2(x)-x^4 \log ^3(x)+e^{-\frac{3}{-9 x-x^3-9 \log (2)+x^2 \log (x)}} \left(27 x+78 x^2+9 x^3+18 x^4+x^6+\left(162 x+18 x^3\right) \log (2)+81 \log ^2(2)+\left(-6 x^2-18 x^3-2 x^5-18 x^2 \log (2)\right) \log (x)+x^4 \log ^2(x)\right)}{81 x^4+18 x^6+x^8+\left(162 x^3+18 x^5\right) \log (2)+81 x^2 \log ^2(2)+\left(-18 x^5-2 x^7-18 x^4 \log (2)\right) \log (x)+x^6 \log ^2(x)} \, dx","Integrate[(81*x^2 + 18*x^4 + x^6 + (162*x + 18*x^3)*Log[2] + 81*Log[2]^2 + (-81*x^2 - 18*x^3 - 18*x^4 - 2*x^5 - x^6 + (-162*x - 18*x^2 - 18*x^3)*Log[2] - 81*Log[2]^2)*Log[x] + (18*x^3 + x^4 + 2*x^5 + 18*x^2*Log[2])*Log[x]^2 - x^4*Log[x]^3 + (27*x + 78*x^2 + 9*x^3 + 18*x^4 + x^6 + (162*x + 18*x^3)*Log[2] + 81*Log[2]^2 + (-6*x^2 - 18*x^3 - 2*x^5 - 18*x^2*Log[2])*Log[x] + x^4*Log[x]^2)/E^(3/(-9*x - x^3 - 9*Log[2] + x^2*Log[x])))/(81*x^4 + 18*x^6 + x^8 + (162*x^3 + 18*x^5)*Log[2] + 81*x^2*Log[2]^2 + (-18*x^5 - 2*x^7 - 18*x^4*Log[2])*Log[x] + x^6*Log[x]^2),x]","\int \frac{81 x^2+18 x^4+x^6+\left(162 x+18 x^3\right) \log (2)+81 \log ^2(2)+\left(-81 x^2-18 x^3-18 x^4-2 x^5-x^6+\left(-162 x-18 x^2-18 x^3\right) \log (2)-81 \log ^2(2)\right) \log (x)+\left(18 x^3+x^4+2 x^5+18 x^2 \log (2)\right) \log ^2(x)-x^4 \log ^3(x)+e^{-\frac{3}{-9 x-x^3-9 \log (2)+x^2 \log (x)}} \left(27 x+78 x^2+9 x^3+18 x^4+x^6+\left(162 x+18 x^3\right) \log (2)+81 \log ^2(2)+\left(-6 x^2-18 x^3-2 x^5-18 x^2 \log (2)\right) \log (x)+x^4 \log ^2(x)\right)}{81 x^4+18 x^6+x^8+\left(162 x^3+18 x^5\right) \log (2)+81 x^2 \log ^2(2)+\left(-18 x^5-2 x^7-18 x^4 \log (2)\right) \log (x)+x^6 \log ^2(x)} \, dx","\frac{\log (x)-e^{\frac{1}{3 \left(\frac{1}{9} x^2 (x-\log (x))+x+\log (2)\right)}}}{x}",1,"Integrate[(81*x^2 + 18*x^4 + x^6 + (162*x + 18*x^3)*Log[2] + 81*Log[2]^2 + (-81*x^2 - 18*x^3 - 18*x^4 - 2*x^5 - x^6 + (-162*x - 18*x^2 - 18*x^3)*Log[2] - 81*Log[2]^2)*Log[x] + (18*x^3 + x^4 + 2*x^5 + 18*x^2*Log[2])*Log[x]^2 - x^4*Log[x]^3 + (27*x + 78*x^2 + 9*x^3 + 18*x^4 + x^6 + (162*x + 18*x^3)*Log[2] + 81*Log[2]^2 + (-6*x^2 - 18*x^3 - 2*x^5 - 18*x^2*Log[2])*Log[x] + x^4*Log[x]^2)/E^(3/(-9*x - x^3 - 9*Log[2] + x^2*Log[x])))/(81*x^4 + 18*x^6 + x^8 + (162*x^3 + 18*x^5)*Log[2] + 81*x^2*Log[2]^2 + (-18*x^5 - 2*x^7 - 18*x^4*Log[2])*Log[x] + x^6*Log[x]^2), x]","F",-1
4630,1,11,13,0.0014778,"\int \frac{1}{4} (1+\log (9 x \log (4))) \, dx","Integrate[(1 + Log[9*x*Log[4]])/4,x]","\frac{1}{4} x \log (9 x \log (4))","\frac{1}{4} x \log (9 x \log (4))+81",1,"(x*Log[9*x*Log[4]])/4","A",1
4631,1,20,24,0.0207072,"\int \frac{289 x-289 x^2+e^{2 x} (-1156+2312 x)}{4 x^2} \, dx","Integrate[(289*x - 289*x^2 + E^(2*x)*(-1156 + 2312*x))/(4*x^2),x]","\frac{289}{4} \left(-x+\frac{4 e^{2 x}}{x}+\log (x)\right)","3-\frac{289}{4} \left(x-\frac{4 e^{2 x}}{x}-\log (3 x)\right)",1,"(289*((4*E^(2*x))/x - x + Log[x]))/4","A",1
4632,1,26,27,0.161031,"\int \frac{1-2 x-4 x^3+e^{-2 x} \left(4+4 x^2\right) (4+4 \log (5))^2+\left(4 x^2-4 e^{-2 x} x (4+4 \log (5))^2\right) \log \left(-x+e^{-2 x} (4+4 \log (5))^2\right)+\left(-x+e^{-2 x} (4+4 \log (5))^2\right) \log ^2\left(-x+e^{-2 x} (4+4 \log (5))^2\right)}{-4 x^3+4 e^{-2 x} x^2 (4+4 \log (5))^2+\left(4 x^2-4 e^{-2 x} x (4+4 \log (5))^2\right) \log \left(-x+e^{-2 x} (4+4 \log (5))^2\right)+\left(-x+e^{-2 x} (4+4 \log (5))^2\right) \log ^2\left(-x+e^{-2 x} (4+4 \log (5))^2\right)} \, dx","Integrate[(1 - 2*x - 4*x^3 + ((4 + 4*x^2)*(4 + 4*Log[5])^2)/E^(2*x) + (4*x^2 - (4*x*(4 + 4*Log[5])^2)/E^(2*x))*Log[-x + (4 + 4*Log[5])^2/E^(2*x)] + (-x + (4 + 4*Log[5])^2/E^(2*x))*Log[-x + (4 + 4*Log[5])^2/E^(2*x)]^2)/(-4*x^3 + (4*x^2*(4 + 4*Log[5])^2)/E^(2*x) + (4*x^2 - (4*x*(4 + 4*Log[5])^2)/E^(2*x))*Log[-x + (4 + 4*Log[5])^2/E^(2*x)] + (-x + (4 + 4*Log[5])^2/E^(2*x))*Log[-x + (4 + 4*Log[5])^2/E^(2*x)]^2),x]","x+\frac{1}{\log \left(16 e^{-2 x} (1+\log (5))^2-x\right)-2 x}","x+\frac{1}{\log \left(e^{-2 x} (4+4 \log (5))^2-x\right)-2 x}",1,"x + (-2*x + Log[-x + (16*(1 + Log[5])^2)/E^(2*x)])^(-1)","A",1
4633,1,41,22,0.0201879,"\int \frac{-8 x-6 e x+2 e^4 x-4 e^2 x^2}{16+9 e^2+e^8-8 e^6 x-32 x^2+16 x^4+e \left(24-24 x^2\right)+e^4 \left(-8-6 e+24 x^2\right)+e^2 \left(32 x+24 e x-32 x^3\right)} \, dx","Integrate[(-8*x - 6*E*x + 2*E^4*x - 4*E^2*x^2)/(16 + 9*E^2 + E^8 - 8*E^6*x - 32*x^2 + 16*x^4 + E*(24 - 24*x^2) + E^4*(-8 - 6*E + 24*x^2) + E^2*(32*x + 24*E*x - 32*x^3)),x]","\frac{4 e^2 x-e^4+3 e+4}{4 \left(4 x^2-4 e^2 x+e^4-3 e-4\right)}","\frac{x^2}{\left(2 x-e^2\right)^2-3 e-4}",1,"(4 + 3*E - E^4 + 4*E^2*x)/(4*(-4 - 3*E + E^4 - 4*E^2*x + 4*x^2))","A",1
4634,1,8,15,0.0000662,"\int \frac{1}{200 e^8} \, dx","Integrate[1/(200*E^8),x]","\frac{x}{200 e^8}","\frac{1}{25} x e^{7-3 (5+\log (2))}",1,"x/(200*E^8)","A",1
4635,1,21,35,0.0200673,"\int \frac{-62-32 x-4 x^2+\left(32+16 x+2 x^2\right) \log (2 x)+\left(16+8 x+x^2\right) \log ^2(2 x)}{16+8 x+x^2} \, dx","Integrate[(-62 - 32*x - 4*x^2 + (32 + 16*x + 2*x^2)*Log[2*x] + (16 + 8*x + x^2)*Log[2*x]^2)/(16 + 8*x + x^2),x]","-4 (x+4)-\frac{2}{x+4}+x \log ^2(2 x)","-x \left(\frac{x+\frac{2}{x+4}}{x}-\log ^2(2 x)\right)-3 (x-\log (3))+3",1,"-2/(4 + x) - 4*(4 + x) + x*Log[2*x]^2","A",1
4636,1,20,19,0.0021314,"\int \left(2+\left(-2 x+8 x^3\right) \log (2)\right) \, dx","Integrate[2 + (-2*x + 8*x^3)*Log[2],x]","2 x^4 \log (2)-\frac{1}{2} x^2 \log (4)+2 x","2 x \left(x^3 \log (2)+1\right)-x^2 \log (2)",1,"2*x + 2*x^4*Log[2] - (x^2*Log[4])/2","A",1
4637,1,25,24,0.2786731,"\int \frac{-45-8 x+5 x^2+e^x \left(12 x+3 x^2\right)+\left(-15-2 x+3 e^x x+x^2\right) \log \left(\frac{1}{3} \left(-60-8 x+12 e^x x+4 x^2\right)\right)}{-15-2 x+3 e^x x+x^2} \, dx","Integrate[(-45 - 8*x + 5*x^2 + E^x*(12*x + 3*x^2) + (-15 - 2*x + 3*E^x*x + x^2)*Log[(-60 - 8*x + 12*E^x*x + 4*x^2)/3])/(-15 - 2*x + 3*E^x*x + x^2),x]","x \log \left(\frac{4}{3} \left(x^2+\left(3 e^x-2\right) x-15\right)\right)+3 x","x \left(\log \left(4 \left(e^x x-\frac{1}{3} (2-x) x-5\right)\right)+3\right)",1,"3*x + x*Log[(4*(-15 + (-2 + 3*E^x)*x + x^2))/3]","A",1
4638,1,29,21,0.8595314,"\int \frac{-8 x+\left(-24-8 x-8 x^2 \log (3)\right) \log (3+x)+\left(-24 x-8 x^2\right) \log (3) \log ^2(3+x)+\left(3 x^3+x^4\right) \log ^3(3+x)}{\left(12 x^3+4 x^4\right) \log ^3(3+x)} \, dx","Integrate[(-8*x + (-24 - 8*x - 8*x^2*Log[3])*Log[3 + x] + (-24*x - 8*x^2)*Log[3]*Log[3 + x]^2 + (3*x^3 + x^4)*Log[3 + x]^3)/((12*x^3 + 4*x^4)*Log[3 + x]^3),x]","\frac{1}{x^2 \log ^2(x+3)}+\frac{x}{4}+\frac{2 \log (3)}{x \log (x+3)}","\frac{x}{4}+\left(\frac{1}{x \log (x+3)}+\log (3)\right)^2",1,"x/4 + 1/(x^2*Log[3 + x]^2) + (2*Log[3])/(x*Log[3 + x])","A",1
4639,1,9,15,0.0011828,"\int \left(-1-\log \left(x^2\right)\right) \, dx","Integrate[-1 - Log[x^2],x]","x-x \log \left(x^2\right)","x \left(-\log \left(x^2\right)\right)+x-e^5+3",1,"x - x*Log[x^2]","A",1
4640,1,19,16,0.5549426,"\int \frac{6 x^2+x^{\frac{1}{x}} \left(3+x+4 x^2+x^3+(-3-x) \log (x)\right)}{6 x^2+x^{\frac{1}{x}} \left(3 x^2+x^3\right)} \, dx","Integrate[(6*x^2 + x^x^(-1)*(3 + x + 4*x^2 + x^3 + (-3 - x)*Log[x]))/(6*x^2 + x^x^(-1)*(3*x^2 + x^3)),x]","\log \left(x^{\frac{1}{x}+1}+3 x^{\frac{1}{x}}+6\right)+x","\log \left(-\left((x+3) x^{\frac{1}{x}}\right)-6\right)+x-1",1,"x + Log[6 + x^(1 + x^(-1)) + 3*x^x^(-1)]","A",1
4641,1,34,22,0.0172408,"\int \frac{e^3 (31+9 x)+\left(12+28 x+8 x^2\right) \log (5)}{e^3 (12+4 x)} \, dx","Integrate[(E^3*(31 + 9*x) + (12 + 28*x + 8*x^2)*Log[5])/(E^3*(12 + 4*x)),x]","\frac{(x+3) \left(4 (x-2) \log (5)+9 e^3\right)+4 e^3 \log (x+3)}{4 e^3}","\frac{\left(x^2+x+3\right) \log (5)}{e^3}+\frac{9 x}{4}+\log (x+3)",1,"((3 + x)*(9*E^3 + 4*(-2 + x)*Log[5]) + 4*E^3*Log[3 + x])/(4*E^3)","A",1
4642,1,29,27,1.5851128,"\int \frac{-520+40 e^4-20 x+e^{-x+x^2} \left(-52+24 x-50 x^2-4 x^3+e^4 \left(4-2 x+4 x^2\right)\right)}{100 x^3+20 e^{-x+x^2} x^3+e^{-2 x+2 x^2} x^3} \, dx","Integrate[(-520 + 40*E^4 - 20*x + E^(-x + x^2)*(-52 + 24*x - 50*x^2 - 4*x^3 + E^4*(4 - 2*x + 4*x^2)))/(100*x^3 + 20*E^(-x + x^2)*x^3 + E^(-2*x + 2*x^2)*x^3),x]","\frac{2 e^x \left(x-e^4+13\right)}{\left(e^{x^2}+10 e^x\right) x^2}","\frac{x-e^4+13}{\left(\frac{1}{2} e^{(x-1) x}+5\right) x^2}",1,"(2*E^x*(13 - E^4 + x))/((10*E^x + E^x^2)*x^2)","A",1
4643,1,440,37,0.4266214,"\int \frac{-16384 x^2-90112 x^3-236544 x^4-311808 x^5-108800 x^6+263744 x^7+404160 x^8+167680 x^9-15488 x^{10}+436 x^{11}-4 x^{12}+e^9 \left(-256 x^8+256 x^9\right)+e^6 \left(-3072 x^6-3584 x^7+384 x^8+7104 x^9-192 x^{10}\right)+e^3 \left(-12288 x^4-40960 x^5-57600 x^6-2944 x^7+70912 x^8+61856 x^9-3504 x^{10}+48 x^{11}\right)+\left(16384 x+81920 x^2+193536 x^3+163328 x^4-204544 x^5-671168 x^6-709472 x^7-241792 x^8+22976 x^9-652 x^{10}+6 x^{11}+e^9 \left(256 x^7-384 x^8\right)+e^6 \left(3072 x^5+2048 x^6-4352 x^7-10560 x^8+288 x^9\right)+e^3 \left(12288 x^3+34816 x^4+30976 x^5-56960 x^6-141568 x^7-90816 x^8+5232 x^9-72 x^{10}\right)\right) \log \left(x^2\right)+\left(8192 x+43008 x^2+148480 x^3+313344 x^4+407424 x^5+305312 x^6+74112 x^7+128 e^9 x^7-7488 x^8+216 x^9-2 x^{10}+e^6 \left(1536 x^5+3968 x^6+3456 x^7-96 x^8\right)+e^3 \left(6144 x^3+26624 x^4+59904 x^5+70656 x^6+28960 x^7-1728 x^8+24 x^9\right)\right) \log ^2\left(x^2\right)}{4096+36864 x+138240 x^2+275712 x^3+306432 x^4+176256 x^5+36336 x^6+64 e^9 x^6-3744 x^7+108 x^8-x^9+e^6 \left(768 x^4+2304 x^5+1728 x^6-48 x^7\right)+e^3 \left(3072 x^2+18432 x^3+41472 x^4+41088 x^5+14400 x^6-864 x^7+12 x^8\right)} \, dx","Integrate[(-16384*x^2 - 90112*x^3 - 236544*x^4 - 311808*x^5 - 108800*x^6 + 263744*x^7 + 404160*x^8 + 167680*x^9 - 15488*x^10 + 436*x^11 - 4*x^12 + E^9*(-256*x^8 + 256*x^9) + E^6*(-3072*x^6 - 3584*x^7 + 384*x^8 + 7104*x^9 - 192*x^10) + E^3*(-12288*x^4 - 40960*x^5 - 57600*x^6 - 2944*x^7 + 70912*x^8 + 61856*x^9 - 3504*x^10 + 48*x^11) + (16384*x + 81920*x^2 + 193536*x^3 + 163328*x^4 - 204544*x^5 - 671168*x^6 - 709472*x^7 - 241792*x^8 + 22976*x^9 - 652*x^10 + 6*x^11 + E^9*(256*x^7 - 384*x^8) + E^6*(3072*x^5 + 2048*x^6 - 4352*x^7 - 10560*x^8 + 288*x^9) + E^3*(12288*x^3 + 34816*x^4 + 30976*x^5 - 56960*x^6 - 141568*x^7 - 90816*x^8 + 5232*x^9 - 72*x^10))*Log[x^2] + (8192*x + 43008*x^2 + 148480*x^3 + 313344*x^4 + 407424*x^5 + 305312*x^6 + 74112*x^7 + 128*E^9*x^7 - 7488*x^8 + 216*x^9 - 2*x^10 + E^6*(1536*x^5 + 3968*x^6 + 3456*x^7 - 96*x^8) + E^3*(6144*x^3 + 26624*x^4 + 59904*x^5 + 70656*x^6 + 28960*x^7 - 1728*x^8 + 24*x^9))*Log[x^2]^2)/(4096 + 36864*x + 138240*x^2 + 275712*x^3 + 306432*x^4 + 176256*x^5 + 36336*x^6 + 64*E^9*x^6 - 3744*x^7 + 108*x^8 - x^9 + E^6*(768*x^4 + 2304*x^5 + 1728*x^6 - 48*x^7) + E^3*(3072*x^2 + 18432*x^3 + 41472*x^4 + 41088*x^5 + 14400*x^6 - 864*x^7 + 12*x^8)),x]","-\frac{-x^{10}+8 e^3 x^9+72 x^9-16 e^6 x^8-288 e^3 x^8-1240 x^8-224 e^3 x^7-1984 x^7+640 e^6 x^6+11392 e^3 x^6+52224 x^6-5120 e^9 x^5-138240 e^6 x^5-1262720 e^3 x^5-3900416 x^5+10240 e^{12} x^4+368640 e^9 x^4+4952320 e^6 x^4+29422080 e^3 x^4+64991744 x^4+245760 e^9 x^3+6615040 e^6 x^3+60241920 e^3 x^3+185443840 x^3+81920 e^9 x^2+3686400 e^6 x^2+46745600 e^3 x^2+187176960 x^2-\left(-x^3+4 \left(9+e^3\right) x^2+28 x+16\right)^2 x^2 \log ^2\left(x^2\right)+640 \left(9+e^3\right) \left(-x^3+4 \left(9+e^3\right) x^2+48 x+16\right)^2 \log (x)-2 \left(-x^9+72 x^8-1240 x^7-544 x^6-105616 x^5+2560 e^9 x^4+1727104 x^4+4930304 x^3+4976640 x^2-16 e^6 \left(x^5+80 x^3-4320 x^2-3840 x-1280\right) x^2+8 e^3 \left(x^8-36 x^7-8 x^6-2896 x^5+75840 x^4+137600 x^3+92160 x^2+30720 x+5120\right)+2211840 x+368640\right) \log \left(x^2\right)+983040 e^6 x+17694720 e^3 x+83189760 x+163840 e^6+2949120 e^3+13864960}{\left(-x^3+4 \left(9+e^3\right) x^2+48 x+16\right)^2}","\left(x-\frac{5}{\left(\frac{2}{x}+3\right)^2-\frac{x}{4}+e^3}\right)^2 \left(\log \left(x^2\right)-x\right)^2",1,"-((13864960 + 2949120*E^3 + 163840*E^6 + 83189760*x + 17694720*E^3*x + 983040*E^6*x + 187176960*x^2 + 46745600*E^3*x^2 + 3686400*E^6*x^2 + 81920*E^9*x^2 + 185443840*x^3 + 60241920*E^3*x^3 + 6615040*E^6*x^3 + 245760*E^9*x^3 + 64991744*x^4 + 29422080*E^3*x^4 + 4952320*E^6*x^4 + 368640*E^9*x^4 + 10240*E^12*x^4 - 3900416*x^5 - 1262720*E^3*x^5 - 138240*E^6*x^5 - 5120*E^9*x^5 + 52224*x^6 + 11392*E^3*x^6 + 640*E^6*x^6 - 1984*x^7 - 224*E^3*x^7 - 1240*x^8 - 288*E^3*x^8 - 16*E^6*x^8 + 72*x^9 + 8*E^3*x^9 - x^10 + 640*(9 + E^3)*(16 + 48*x + 4*(9 + E^3)*x^2 - x^3)^2*Log[x] - 2*(368640 + 2211840*x + 4976640*x^2 + 4930304*x^3 + 1727104*x^4 + 2560*E^9*x^4 - 105616*x^5 - 544*x^6 - 1240*x^7 + 72*x^8 - x^9 - 16*E^6*x^2*(-1280 - 3840*x - 4320*x^2 + 80*x^3 + x^5) + 8*E^3*(5120 + 30720*x + 92160*x^2 + 137600*x^3 + 75840*x^4 - 2896*x^5 - 8*x^6 - 36*x^7 + x^8))*Log[x^2] - x^2*(16 + 28*x + 4*(9 + E^3)*x^2 - x^3)^2*Log[x^2]^2)/(16 + 48*x + 4*(9 + E^3)*x^2 - x^3)^2)","B",1
4644,1,9,17,0.0089701,"\int \frac{-11+e^x (-1+x)}{x^2} \, dx","Integrate[(-11 + E^x*(-1 + x))/x^2,x]","\frac{e^x+11}{x}","\frac{e^3 x-x+e^x+11}{x}",1,"(11 + E^x)/x","A",1
4645,1,25,25,0.0476884,"\int \frac{-11 x+4 \log ^2\left(-5+e^5\right)+x \log \left(\frac{x^4}{16}\right)}{x^3-2 x^2 \log ^2\left(-5+e^5\right)+x \log ^4\left(-5+e^5\right)} \, dx","Integrate[(-11*x + 4*Log[-5 + E^5]^2 + x*Log[x^4/16])/(x^3 - 2*x^2*Log[-5 + E^5]^2 + x*Log[-5 + E^5]^4),x]","\frac{-\log \left(x^4\right)+7+\log (16)}{x-\log ^2\left(e^5-5\right)}","\frac{\log \left(\frac{x^4}{16}\right)-7}{\log ^2\left(e^5-5\right)-x}",1,"(7 + Log[16] - Log[x^4])/(x - Log[-5 + E^5]^2)","A",1
4646,1,14,14,0.0022202,"\int -\frac{8}{x \log ^2\left(\frac{4 x^3}{3}\right)} \, dx","Integrate[-8/(x*Log[(4*x^3)/3]^2),x]","\frac{8}{3 \log \left(\frac{4 x^3}{3}\right)}","\frac{8}{3 \log \left(\frac{4 x^3}{3}\right)}",1,"8/(3*Log[(4*x^3)/3])","A",1
4647,1,16,17,0.0616097,"\int \frac{2 x^2+e^{\frac{3-6 x-2 x^2}{2 x}} \left(-3-2 x^2\right)}{2 x^2} \, dx","Integrate[(2*x^2 + E^((3 - 6*x - 2*x^2)/(2*x))*(-3 - 2*x^2))/(2*x^2),x]","x+e^{-x+\frac{3}{2 x}-3}","x+e^{-x+\frac{3}{2 x}-3}-1",1,"E^(-3 + 3/(2*x) - x) + x","A",1
4648,0,0,33,0.8496526,"\int \frac{-6-2 x+\left(18+12 x+2 x^2+\left(-27-18 x-3 x^2\right) \log (2)\right) \log (2 x)+3 \log (2 x) \log \left(\frac{25}{\log ^2(2 x)}\right)}{\left(54 x+36 x^2+6 x^3+\left(-81 x-54 x^2-9 x^3\right) \log (2)\right) \log (2 x)+\left(9 x+3 x^2\right) \log (2 x) \log \left(\frac{25}{\log ^2(2 x)}\right)} \, dx","Integrate[(-6 - 2*x + (18 + 12*x + 2*x^2 + (-27 - 18*x - 3*x^2)*Log[2])*Log[2*x] + 3*Log[2*x]*Log[25/Log[2*x]^2])/((54*x + 36*x^2 + 6*x^3 + (-81*x - 54*x^2 - 9*x^3)*Log[2])*Log[2*x] + (9*x + 3*x^2)*Log[2*x]*Log[25/Log[2*x]^2]),x]","\int \frac{-6-2 x+\left(18+12 x+2 x^2+\left(-27-18 x-3 x^2\right) \log (2)\right) \log (2 x)+3 \log (2 x) \log \left(\frac{25}{\log ^2(2 x)}\right)}{\left(54 x+36 x^2+6 x^3+\left(-81 x-54 x^2-9 x^3\right) \log (2)\right) \log (2 x)+\left(9 x+3 x^2\right) \log (2 x) \log \left(\frac{25}{\log ^2(2 x)}\right)} \, dx","\frac{1}{3} \log \left(\frac{x \log \left(\frac{25}{\log ^2(2 x)}\right)}{(x+3) (3 \log (2)-2)}-x\right)",1,"Integrate[(-6 - 2*x + (18 + 12*x + 2*x^2 + (-27 - 18*x - 3*x^2)*Log[2])*Log[2*x] + 3*Log[2*x]*Log[25/Log[2*x]^2])/((54*x + 36*x^2 + 6*x^3 + (-81*x - 54*x^2 - 9*x^3)*Log[2])*Log[2*x] + (9*x + 3*x^2)*Log[2*x]*Log[25/Log[2*x]^2]), x]","F",-1
4649,1,78,25,0.1111578,"\int \left(20+2 x+3 x^2-8 x^3-5 x^4+\left(8-16 x-24 x^2\right) \log (2)-16 \log ^2(2)+e^{2 x} (-1-2 x) \log ^2(2)+e^x \left(\left(-2+2 x+8 x^2+2 x^3\right) \log (2)+(8+8 x) \log ^2(2)\right)\right) \, dx","Integrate[20 + 2*x + 3*x^2 - 8*x^3 - 5*x^4 + (8 - 16*x - 24*x^2)*Log[2] - 16*Log[2]^2 + E^(2*x)*(-1 - 2*x)*Log[2]^2 + E^x*((-2 + 2*x + 8*x^2 + 2*x^3)*Log[2] + (8 + 8*x)*Log[2]^2),x]","-x^5-2 x^4+x^3-8 x^3 \log (2)+x^2-8 x^2 \log (2)+2 e^x \log (2) \left(x^3+x^2+x (\log (16)-1)\right)+20 x-e^{2 x} x \log ^2(2)-16 x \log ^2(2)+8 x \log (2)","x-x \left(\left(x^2+x-\left(e^x-4\right) \log (2)-1\right)^2+x-20\right)",1,"20*x + x^2 + x^3 - 2*x^4 - x^5 + 8*x*Log[2] - 8*x^2*Log[2] - 8*x^3*Log[2] - 16*x*Log[2]^2 - E^(2*x)*x*Log[2]^2 + 2*E^x*Log[2]*(x^2 + x^3 + x*(-1 + Log[16]))","B",1
4650,1,17,23,0.4807637,"\int \frac{\exp \left(1-2 x-4 e^{-2 x} x+e^{-4 e^{-2 x} x} \log (x)\right) \left(e^{2 x}+\left(-4 x+8 x^2\right) \log (x)\right)}{21 x} \, dx","Integrate[(E^(1 - 2*x - (4*x)/E^(2*x) + Log[x]/E^((4*x)/E^(2*x)))*(E^(2*x) + (-4*x + 8*x^2)*Log[x]))/(21*x),x]","\frac{1}{21} e x^{e^{-4 e^{-2 x} x}}","\frac{1}{21} \left(e^{e^{-4 e^{-2 x} x} \log (x)+1}+25\right)",1,"(E*x^E^((-4*x)/E^(2*x)))/21","A",1
4651,1,19,18,0.0084658,"\int \frac{e^{-3+e-x} \left(12-2 x^2\right) \left(6+2 x-x^2\right)}{3 \left(-6+x^2\right)} \, dx","Integrate[(E^(-3 + E - x)*(12 - 2*x^2)*(6 + 2*x - x^2))/(3*(-6 + x^2)),x]","\frac{2}{3} e^{-x+e-3} \left(6-x^2\right)","e^{-x+e-3} \left(4-\frac{2 x^2}{3}\right)",1,"(2*E^(-3 + E - x)*(6 - x^2))/3","A",1
4652,1,16,20,0.0065895,"\int \frac{12 e^2+4 e^{6+x} x^2}{x^2} \, dx","Integrate[(12*E^2 + 4*E^(6 + x)*x^2)/x^2,x]","4 e^2 \left(e^{x+4}-\frac{3}{x}\right)","3-4 e^2 \left(\frac{3}{x}-e^{x+4}\right)",1,"4*E^2*(E^(4 + x) - 3/x)","A",1
4653,1,15,15,0.0000821,"\int (17640-4410 x+2 x \log (3)) \, dx","Integrate[17640 - 4410*x + 2*x*Log[3],x]","-2205 x^2+x^2 \log (3)+17640 x","x^2 \left(\log (3)-\frac{2205 (x-8)}{x}\right)",1,"17640*x - 2205*x^2 + x^2*Log[3]","A",1
4654,1,26,32,0.0823265,"\int \frac{140-140 x^2+35 x^4+e^{\frac{2 e^2}{-2+x^2}} \left(4-4 x^2+x^4\right)+e^{\frac{e^2}{-2+x^2}} \left(48-48 x^2+4 e^2 x^2+12 x^4\right)}{200-200 x^2+50 x^4+e^{\frac{2 e^2}{-2+x^2}} \left(8-8 x^2+2 x^4\right)+e^{\frac{e^2}{-2+x^2}} \left(80-80 x^2+20 x^4\right)} \, dx","Integrate[(140 - 140*x^2 + 35*x^4 + E^((2*E^2)/(-2 + x^2))*(4 - 4*x^2 + x^4) + E^(E^2/(-2 + x^2))*(48 - 48*x^2 + 4*E^2*x^2 + 12*x^4))/(200 - 200*x^2 + 50*x^4 + E^((2*E^2)/(-2 + x^2))*(8 - 8*x^2 + 2*x^4) + E^(E^2/(-2 + x^2))*(80 - 80*x^2 + 20*x^4)),x]","\frac{1}{2} \left(\frac{2 x}{e^{\frac{e^2}{x^2-2}}+5}+x\right)","\frac{x}{e^{\frac{e^2}{x \left(x-\frac{2}{x}\right)}}+5}+\frac{x+1}{2}",1,"(x + (2*x)/(5 + E^(E^2/(-2 + x^2))))/2","A",1
4655,1,50,29,0.0229895,"\int \frac{-3+e^{5/3} (-18-2 x)+(18+2 x) \log (3)}{-2 e^{5/3} x^2+2 x^2 \log (3)} \, dx","Integrate[(-3 + E^(5/3)*(-18 - 2*x) + (18 + 2*x)*Log[3])/(-2*E^(5/3)*x^2 + 2*x^2*Log[3]),x]","\frac{\left(2 e^{5/3}-\log (9)\right) \log (x)-\frac{3 \left(1+6 e^{5/3}-6 \log (3)\right)}{x}}{2 \left(e^{5/3}-\log (3)\right)}","\log (x)-\frac{9-\frac{x+\frac{3}{2}}{\log (3)-e^{5/3}}}{x}",1,"((-3*(1 + 6*E^(5/3) - 6*Log[3]))/x + (2*E^(5/3) - Log[9])*Log[x])/(2*(E^(5/3) - Log[3]))","A",1
4656,1,15,16,0.0296651,"\int \frac{1}{99} \left(99+800 e^{e^{-\frac{400 x^2}{99}}-\frac{400 x^2}{99}} x\right) \, dx","Integrate[(99 + 800*E^(E^((-400*x^2)/99) - (400*x^2)/99)*x)/99,x]","x-e^{e^{-\frac{400 x^2}{99}}}","-e^{e^{-\frac{400 x^2}{99}}}+x-4",1,"-E^E^((-400*x^2)/99) + x","A",1
4657,1,23,30,0.0032653,"\int \frac{3}{-5+45 x^2} \, dx","Integrate[3/(-5 + 45*x^2),x]","3 \left(\frac{1}{30} \log (1-3 x)-\frac{1}{30} \log (3 x+1)\right)","\frac{1}{10} \log \left(\frac{x-x \log \left(e^{\frac{10}{\frac{5}{3 x}+5}}\right)}{x}\right)",1,"3*(Log[1 - 3*x]/30 - Log[1 + 3*x]/30)","A",1
4658,1,23,26,1.3209245,"\int \frac{e^{3 x} (2-6 x) \log (5)+e^x (4-4 x) \log (5)-8 e^{2 x} x^2 \log (5)}{e^{6 x}+16 e^x x+16 e^{3 x} x+4 e^{5 x} x+16 x^2+e^{4 x} \left(4+4 x^2\right)+e^{2 x} \left(4+16 x^2\right)} \, dx","Integrate[(E^(3*x)*(2 - 6*x)*Log[5] + E^x*(4 - 4*x)*Log[5] - 8*E^(2*x)*x^2*Log[5])/(E^(6*x) + 16*E^x*x + 16*E^(3*x)*x + 4*E^(5*x)*x + 16*x^2 + E^(4*x)*(4 + 4*x^2) + E^(2*x)*(4 + 16*x^2)),x]","\frac{2 x \log (5)}{\left(e^{2 x}+2\right) \left(2 x+e^x\right)}","\frac{\log (5)}{\left(e^{2 x}+2\right) \left(\frac{e^x}{2 x}+1\right)}",1,"(2*x*Log[5])/((2 + E^(2*x))*(E^x + 2*x))","A",1
4659,1,33,23,0.1662552,"\int \frac{192 x^2+36 x^3-3 x^4+\left(-576 x^2-48 x^3+9 x^4\right) \log (x)+\left(16-1528 x-47 x^2+24 x^3\right) \log ^2(x)}{\left(16+8 x+x^2\right) \log ^2(x)} \, dx","Integrate[(192*x^2 + 36*x^3 - 3*x^4 + (-576*x^2 - 48*x^3 + 9*x^4)*Log[x] + (16 - 1528*x - 47*x^2 + 24*x^3)*Log[x]^2)/((16 + 8*x + x^2)*Log[x]^2),x]","\frac{3 (x-16) x^3}{(x+4) \log (x)}+12 x^2-239 x-\frac{3840}{x+4}","\frac{3 (x-16) x^2 \left(\frac{x}{\log (x)}+4\right)}{x+4}+x",1,"-239*x + 12*x^2 - 3840/(4 + x) + (3*(-16 + x)*x^3)/((4 + x)*Log[x])","A",1
4660,1,16,21,0.0030833,"\int \left(1+10750 x-10752 x^2 \log (x)-16128 x^2 \log ^2(x)\right) \, dx","Integrate[1 + 10750*x - 10752*x^2*Log[x] - 16128*x^2*Log[x]^2,x]","-5376 x^3 \log ^2(x)+5375 x^2+x","-x^2+5376 x \left(x-x^2 \log ^2(x)\right)+x",1,"x + 5375*x^2 - 5376*x^3*Log[x]^2","A",1
4661,1,19,20,0.0012063,"\int \left(-1+16 e^4+2 x\right) \log (5+\log (16)) \, dx","Integrate[(-1 + 16*E^4 + 2*x)*Log[5 + Log[16]],x]","\left(x^2+16 e^4 x-x\right) \log (5+\log (16))","\left(\left(x+16 e^4\right) x-x+2\right) \log (5+\log (16))",1,"(-x + 16*E^4*x + x^2)*Log[5 + Log[16]]","A",1
4662,1,72,29,4.8871144,"\int \frac{256\ 25^{108+36 x+4 x^2} \left(e^{-x} x\right)^{108+36 x+4 x^2} \left(108-72 x-32 x^2-4 x^3+\left(36 x+8 x^2\right) \log \left(25 e^{-x} x\right)\right)}{x} \, dx","Integrate[(256*25^(108 + 36*x + 4*x^2)*(x/E^x)^(108 + 36*x + 4*x^2)*(108 - 72*x - 32*x^2 - 4*x^3 + (36*x + 8*x^2)*Log[(25*x)/E^x]))/x,x]","256 \int \frac{25^{4 x^2+36 x+108} \left(e^{-x} x\right)^{4 x^2+36 x+108} \left(-4 x^3-32 x^2+\left(8 x^2+36 x\right) \log \left(25 e^{-x} x\right)-72 x+108\right)}{x} \, dx","\exp \left(4 \left(\left((x+5)^2-x+2\right) \log \left(25 e^{-x} x\right)+\log (4)\right)\right)+3",1,"256*Integrate[(25^(108 + 36*x + 4*x^2)*(x/E^x)^(108 + 36*x + 4*x^2)*(108 - 72*x - 32*x^2 - 4*x^3 + (36*x + 8*x^2)*Log[(25*x)/E^x]))/x, x]","F",1
4663,1,21,26,0.1674411,"\int \frac{32 x^3-16 x^5+2 x^7+\left(16 x^2-4 x^4\right) \log (4)+2 x \log ^2(4)+e^x \left(4 x^2+2 x^3-x^4+(1+x) \log (4)\right)}{16 x^2-8 x^4+x^6+\left(8 x-2 x^3\right) \log (4)+\log ^2(4)} \, dx","Integrate[(32*x^3 - 16*x^5 + 2*x^7 + (16*x^2 - 4*x^4)*Log[4] + 2*x*Log[4]^2 + E^x*(4*x^2 + 2*x^3 - x^4 + (1 + x)*Log[4]))/(16*x^2 - 8*x^4 + x^6 + (8*x - 2*x^3)*Log[4] + Log[4]^2),x]","x \left(\frac{e^x}{-x^3+4 x+\log (4)}+x\right)","x^2+\frac{e^x x}{-\left(\left(x^2-5\right) x\right)-x+\log (4)}-80",1,"x*(x + E^x/(4*x - x^3 + Log[4]))","A",1
4664,1,9,11,0.0431245,"\int e^{x+e^x x} (-1-x) \, dx","Integrate[E^(x + E^x*x)*(-1 - x),x]","-e^{e^x x}","2-e^{e^x x}",1,"-E^(E^x*x)","A",1
4665,1,18,20,0.0027685,"\int \frac{-4-6 x-4 x^2-2 x \log (x)}{x} \, dx","Integrate[(-4 - 6*x - 4*x^2 - 2*x*Log[x])/x,x]","-2 x^2-4 x-2 x \log (x)-4 \log (x)","\frac{4 \left(-\frac{x^2}{2}-x\right) (x+\log (x))}{x}",1,"-4*x - 2*x^2 - 4*Log[x] - 2*x*Log[x]","A",1
4666,1,31,31,0.3353674,"\int \frac{e^{-x-\frac{2 e^{-x} \left(e^{\frac{1}{x}} x^2-x^3\right)}{\log (x)}} \left(-5 e^{\frac{1}{x}} x+5 x^2+\left(-15 x^2+5 x^3+e^{\frac{1}{x}} \left(-5+10 x-5 x^2\right)\right) \log (x)+e^{x+\frac{2 e^{-x} \left(e^{\frac{1}{x}} x^2-x^3\right)}{\log (x)}} \log ^2(x)\right)}{\log ^2(x)} \, dx","Integrate[(E^(-x - (2*(E^x^(-1)*x^2 - x^3))/(E^x*Log[x]))*(-5*E^x^(-1)*x + 5*x^2 + (-15*x^2 + 5*x^3 + E^x^(-1)*(-5 + 10*x - 5*x^2))*Log[x] + E^(x + (2*(E^x^(-1)*x^2 - x^3))/(E^x*Log[x]))*Log[x]^2))/Log[x]^2,x]","x-\frac{5}{2} e^{-\frac{2 e^{-x} \left(e^{\frac{1}{x}}-x\right) x^2}{\log (x)}}","x-\frac{5}{2} e^{-\frac{2 e^{-x} \left(e^{\frac{1}{x}}-x\right) x^2}{\log (x)}}",1,"-5/(2*E^((2*(E^x^(-1) - x)*x^2)/(E^x*Log[x]))) + x","A",1
4667,1,48,17,0.1173519,"\int \frac{\left(-157464-96228 e-9396 e^2-332 e^3-4 e^4\right) \log (2)+\left(-87480-50220 e-3360 e^2-60 e^3\right) \log (2) \log (x)+\left(-16200-8700 e-300 e^2\right) \log (2) \log ^2(x)+(-1000-500 e) \log (2) \log ^3(x)}{3125 x+3125 x \log (x)+1250 x \log ^2(x)+250 x \log ^3(x)+25 x \log ^4(x)+x \log ^5(x)} \, dx","Integrate[((-157464 - 96228*E - 9396*E^2 - 332*E^3 - 4*E^4)*Log[2] + (-87480 - 50220*E - 3360*E^2 - 60*E^3)*Log[2]*Log[x] + (-16200 - 8700*E - 300*E^2)*Log[2]*Log[x]^2 + (-1000 - 500*E)*Log[2]*Log[x]^3)/(3125*x + 3125*x*Log[x] + 1250*x*Log[x]^2 + 250*x*Log[x]^3 + 25*x*Log[x]^4 + x*Log[x]^5),x]","\frac{(2+e) \log (2) \left(500 (\log (x)+5)^3+150 (2+e) (\log (x)+5)^2+20 (2+e)^2 (\log (x)+5)+(2+e)^3\right)}{(\log (x)+5)^4}","\log (2) \left(\frac{2+e}{\log (x)+5}+5\right)^4",1,"((2 + E)*Log[2]*((2 + E)^3 + 20*(2 + E)^2*(5 + Log[x]) + 150*(2 + E)*(5 + Log[x])^2 + 500*(5 + Log[x])^3))/(5 + Log[x])^4","B",1
4668,1,11,11,0.0043879,"\int e^{3-x} (1-e-x) \, dx","Integrate[E^(3 - x)*(1 - E - x),x]","e^{3-x} (x+e)","e^{3-x} (x+e)",1,"E^(3 - x)*(E + x)","A",1
4669,1,32,20,0.0185058,"\int \left(2+2 e^{2 x}+2 x+256 x^3+e^x (8+2 x)\right) \, dx","Integrate[2 + 2*E^(2*x) + 2*x + 256*x^3 + E^x*(8 + 2*x),x]","2 \left(32 x^4+\frac{x^2}{2}+x+\frac{e^{2 x}}{2}+e^x (x+3)\right)","-4 \left(-16 x^4+x+10\right)+\left(x+e^x+3\right)^2+4",1,"2*(E^(2*x)/2 + x + x^2/2 + 32*x^4 + E^x*(3 + x))","A",1
4670,1,23,16,0.0025213,"\int (-24 x+(48+24 x) \log (2)) \, dx","Integrate[-24*x + (48 + 24*x)*Log[2],x]","24 \left(-\frac{x^2}{2}+\frac{1}{2} x^2 \log (2)+x \log (4)\right)","12 (x+4) (3 x+x (\log (2)-4)+4)",1,"24*(-1/2*x^2 + (x^2*Log[2])/2 + x*Log[4])","A",1
4671,1,77,32,0.1051784,"\int \frac{2 x+\left(-6+2 e^2-2 x\right) \log \left(3-e^2+x\right)+\left(-21+e^{4+2 x} \left(-3+e^2-x\right)-10 x-x^2+e^2 (7+x)+e^{2+x} \left(18+e^2 (-6-x)+9 x+x^2\right)\right) \log ^2\left(3-e^2+x\right)}{\left(-6+2 e^2-2 x\right) \log ^2\left(3-e^2+x\right)} \, dx","Integrate[(2*x + (-6 + 2*E^2 - 2*x)*Log[3 - E^2 + x] + (-21 + E^(4 + 2*x)*(-3 + E^2 - x) - 10*x - x^2 + E^2*(7 + x) + E^(2 + x)*(18 + E^2*(-6 - x) + 9*x + x^2))*Log[3 - E^2 + x]^2)/((-6 + 2*E^2 - 2*x)*Log[3 - E^2 + x]^2),x]","-\text{Ei}\left(\log \left(x-e^2+3\right)\right)+\text{li}\left(x-e^2+3\right)+\frac{x^2}{4}+\frac{7 x}{2}+\frac{1}{4} e^{2 x+4}+\frac{1}{2} e^x \left(-e^2 x-5 e^2\right)+\frac{x}{\log \left(x-e^2+3\right)}","\frac{1}{4} \left(x-e^{x+2}+5\right)^2+x+\frac{x}{\log \left(x-e^2+3\right)}-1",1,"E^(4 + 2*x)/4 + (7*x)/2 + x^2/4 + (E^x*(-5*E^2 - E^2*x))/2 - ExpIntegralEi[Log[3 - E^2 + x]] + x/Log[3 - E^2 + x] + LogIntegral[3 - E^2 + x]","C",1
4672,1,2,4,0.0001363,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log (x)+4",1,"Log[x]","A",1
4673,1,32,34,0.2102646,"\int \frac{25-25 x+e^{2 e^x-2 x} \left(-5-5 x+12 x^2-2 x^3+e^x \left(10 x-12 x^2+2 x^3\right)\right)+\left(25-55 x+10 x^2+e^{2 e^x-2 x} \left(-5+11 x-2 x^2\right)\right) \log \left(-\frac{x}{25+e^{2 e^x-2 x} (-5+x)-5 x}\right)}{25+e^{2 e^x-2 x} (-5+x)-5 x} \, dx","Integrate[(25 - 25*x + E^(2*E^x - 2*x)*(-5 - 5*x + 12*x^2 - 2*x^3 + E^x*(10*x - 12*x^2 + 2*x^3)) + (25 - 55*x + 10*x^2 + E^(2*E^x - 2*x)*(-5 + 11*x - 2*x^2))*Log[-(x/(25 + E^(2*E^x - 2*x)*(-5 + x) - 5*x))])/(25 + E^(2*E^x - 2*x)*(-5 + x) - 5*x),x]","-\left((x-1) x \log \left(-\frac{x}{e^{2 e^x-2 x} (x-5)-5 x+25}\right)\right)","(1-x) x \log \left(\frac{x}{\left(5-e^{2 e^x-2 x}\right) (x-5)}\right)-4",1,"-((-1 + x)*x*Log[-(x/(25 + E^(2*E^x - 2*x)*(-5 + x) - 5*x))])","A",1
4674,1,32,28,0.0798219,"\int \frac{e^{-2/x} \left(32 x+e^{2/x} (-8192+48 x)+e^{\frac{1}{x}} (-512+512 x)\right)}{x^3} \, dx","Integrate[(32*x + E^(2/x)*(-8192 + 48*x) + E^x^(-1)*(-512 + 512*x))/(E^(2/x)*x^3),x]","16 \left(\frac{256}{x^2}+e^{-2/x}-\frac{32 e^{-1/x}}{x}-\frac{3}{x}\right)","\frac{16 \left(16-e^{-1/x} x\right)^2}{x^2}+\frac{16 (x-3)}{x}",1,"16*(E^(-2/x) + 256/x^2 - 3/x - 32/(E^x^(-1)*x))","A",1
4675,1,21,19,0.00009,"\int \left(-3272+32 x-640 \log (5)-32 \log ^2(5)\right) \, dx","Integrate[-3272 + 32*x - 640*Log[5] - 32*Log[5]^2,x]","16 x^2-3272 x-32 x \log ^2(5)-640 x \log (5)","\left(\log \left(e^{4 (10+\log (5))^2-4 x}\right)+9\right)^2",1,"-3272*x + 16*x^2 - 640*x*Log[5] - 32*x*Log[5]^2","A",1
4676,1,17,18,0.010701,"\int \frac{1}{3} \left(-6-6 x+e^x (1+x)\right) \, dx","Integrate[(-6 - 6*x + E^x*(1 + x))/3,x]","\frac{1}{3} \left(e^x x-3 (x+1)^2\right)","-x^2+\frac{e^x x}{3}-2 x+8",1,"(E^x*x - 3*(1 + x)^2)/3","A",1
4677,1,23,27,0.0479425,"\int \frac{-192+64 x+192 \log \left(\frac{x}{4}\right)}{\left(225-150 x+25 x^2+e^2 \left(-90+60 x-10 x^2\right)+e^4 \left(9-6 x+x^2\right)\right) \log ^2\left(\frac{x}{4}\right)} \, dx","Integrate[(-192 + 64*x + 192*Log[x/4])/((225 - 150*x + 25*x^2 + E^2*(-90 + 60*x - 10*x^2) + E^4*(9 - 6*x + x^2))*Log[x/4]^2),x]","-\frac{64 x}{\left(e^2-5\right)^2 (x-3) \log \left(\frac{x}{4}\right)}","\frac{64 x}{\left(5-e^2\right)^2 (3-x) \log \left(\frac{x}{4}\right)}",1,"(-64*x)/((-5 + E^2)^2*(-3 + x)*Log[x/4])","A",1
4678,1,15,15,0.1269845,"\int \frac{e^{-e^{-\frac{2}{x^2}}+x} \left(-8 e^{-\frac{2}{x^2}}+2 x^3\right)}{x^3} \, dx","Integrate[(E^(-E^(-2/x^2) + x)*(-8/E^(2/x^2) + 2*x^3))/x^3,x]","2 e^{x-e^{-\frac{2}{x^2}}}","2 e^{x-e^{-\frac{2}{x^2}}}",1,"2*E^(-E^(-2/x^2) + x)","A",1
4679,0,0,34,5.8987604,"\int \frac{-18 x^2-15 x^3+(90+75 x) \log (4)-8 x^2 \log \left(\frac{-x^2+5 \log (4)}{\log (4)}\right)+\left(6 x^2+5 x^3+(-30-25 x) \log (4)\right) \log ^2\left(\frac{-x^2+5 \log (4)}{\log (4)}\right)+\log (x) \left(30 x^3-150 x \log (4)+20 x^3 \log \left(\frac{-x^2+5 \log (4)}{\log (4)}\right)+\left(-10 x^3+50 x \log (4)\right) \log ^2\left(\frac{-x^2+5 \log (4)}{\log (4)}\right)\right)}{-5 x^6+25 x^4 \log (4)} \, dx","Integrate[(-18*x^2 - 15*x^3 + (90 + 75*x)*Log[4] - 8*x^2*Log[(-x^2 + 5*Log[4])/Log[4]] + (6*x^2 + 5*x^3 + (-30 - 25*x)*Log[4])*Log[(-x^2 + 5*Log[4])/Log[4]]^2 + Log[x]*(30*x^3 - 150*x*Log[4] + 20*x^3*Log[(-x^2 + 5*Log[4])/Log[4]] + (-10*x^3 + 50*x*Log[4])*Log[(-x^2 + 5*Log[4])/Log[4]]^2))/(-5*x^6 + 25*x^4*Log[4]),x]","\int \frac{-18 x^2-15 x^3+(90+75 x) \log (4)-8 x^2 \log \left(\frac{-x^2+5 \log (4)}{\log (4)}\right)+\left(6 x^2+5 x^3+(-30-25 x) \log (4)\right) \log ^2\left(\frac{-x^2+5 \log (4)}{\log (4)}\right)+\log (x) \left(30 x^3-150 x \log (4)+20 x^3 \log \left(\frac{-x^2+5 \log (4)}{\log (4)}\right)+\left(-10 x^3+50 x \log (4)\right) \log ^2\left(\frac{-x^2+5 \log (4)}{\log (4)}\right)\right)}{-5 x^6+25 x^4 \log (4)} \, dx","\frac{\left(\log (x)-\frac{2}{5 x}\right) \left(3-\log ^2\left(5-\frac{x^2}{\log (4)}\right)\right)}{x^2}+2",1,"Integrate[(-18*x^2 - 15*x^3 + (90 + 75*x)*Log[4] - 8*x^2*Log[(-x^2 + 5*Log[4])/Log[4]] + (6*x^2 + 5*x^3 + (-30 - 25*x)*Log[4])*Log[(-x^2 + 5*Log[4])/Log[4]]^2 + Log[x]*(30*x^3 - 150*x*Log[4] + 20*x^3*Log[(-x^2 + 5*Log[4])/Log[4]] + (-10*x^3 + 50*x*Log[4])*Log[(-x^2 + 5*Log[4])/Log[4]]^2))/(-5*x^6 + 25*x^4*Log[4]), x]","F",-1
4680,1,25,17,0.0017063,"\int \left(-69+20 x+3 x^2+e^5 (15+2 x)\right) \, dx","Integrate[-69 + 20*x + 3*x^2 + E^5*(15 + 2*x),x]","x^3+e^5 x^2+10 x^2+15 e^5 x-69 x","x+(x+15) \left(x \left(x+e^5-5\right)+5\right)+4",1,"-69*x + 15*E^5*x + 10*x^2 + E^5*x^2 + x^3","A",1
4681,1,15,16,0.0021791,"\int \frac{(-5+x) x^6 (-250+60 x+(125-30 x) \log (4))}{-5 x^2+x^3} \, dx","Integrate[((-5 + x)*x^6*(-250 + 60*x + (125 - 30*x)*Log[4]))/(-5*x^2 + x^3),x]","-5 \left(x^6-5 x^5\right) (\log (4)-2)","5 (x-5) x^5 (2-\log (4))+15",1,"-5*(-5*x^5 + x^6)*(-2 + Log[4])","A",1
4682,1,33,29,0.0144615,"\int \frac{e^2 \left(144-288 x+172 x^2-40 x^4+16 x^5-2 x^6\right)}{1296-3744 x+5296 x^2-4680 x^3+2792 x^4-1144 x^5+313 x^6-52 x^7+4 x^8} \, dx","Integrate[(E^2*(144 - 288*x + 172*x^2 - 40*x^4 + 16*x^5 - 2*x^6))/(1296 - 3744*x + 5296*x^2 - 4680*x^3 + 2792*x^4 - 1144*x^5 + 313*x^6 - 52*x^7 + 4*x^8),x]","\frac{2 e^2 (x-2)^2 x}{4 x^4-26 x^3+72 x^2-104 x+72}","\frac{e^2 x}{x^2-x+\left(-\frac{x}{x-2}-x+3\right)^2}",1,"(2*E^2*(-2 + x)^2*x)/(72 - 104*x + 72*x^2 - 26*x^3 + 4*x^4)","A",1
4683,1,32,34,0.0997668,"\int \frac{-3 x^2+6 x^3+e^x \left(2 x^2+6 x^3-2 x^4\right)+\left(-6 x^2+e^x \left(-8 x-4 x^2+4 x^3\right)\right) \log \left(\frac{1}{3} e^{-2 x} \left(-3 x+e^x \left(-4-2 x+2 x^2\right)\right)\right) \log \left(\log \left(\frac{1}{3} e^{-2 x} \left(-3 x+e^x \left(-4-2 x+2 x^2\right)\right)\right)\right)}{\left(-3 x+e^x \left(-4-2 x+2 x^2\right)\right) \log \left(\frac{1}{3} e^{-2 x} \left(-3 x+e^x \left(-4-2 x+2 x^2\right)\right)\right)} \, dx","Integrate[(-3*x^2 + 6*x^3 + E^x*(2*x^2 + 6*x^3 - 2*x^4) + (-6*x^2 + E^x*(-8*x - 4*x^2 + 4*x^3))*Log[(-3*x + E^x*(-4 - 2*x + 2*x^2))/(3*E^(2*x))]*Log[Log[(-3*x + E^x*(-4 - 2*x + 2*x^2))/(3*E^(2*x))]])/((-3*x + E^x*(-4 - 2*x + 2*x^2))*Log[(-3*x + E^x*(-4 - 2*x + 2*x^2))/(3*E^(2*x))]),x]","x^2 \log \left(\log \left(\frac{1}{3} e^{-2 x} \left(2 e^x \left(x^2-x-2\right)-3 x\right)\right)\right)","x^2 \log \left(\log \left(\frac{1}{3} e^{-x} \left(2 x^2-\left(3 e^{-x}+2\right) x-4\right)\right)\right)",1,"x^2*Log[Log[(-3*x + 2*E^x*(-2 - x + x^2))/(3*E^(2*x))]]","A",1
4684,1,30,30,0.1237239,"\int \frac{-2 x^3+2 x^2 \log ^2(2)+\left(-5 x^2-6 x^3-x^4+\left(5 x^2+x^3\right) \log ^2(2)\right) \log \left(\frac{3}{5+x}\right)+\left(10 x^2+2 x^3+\left(-10 x-2 x^2\right) \log ^2(2)\right) \log \left(\frac{3}{5+x}\right) \log \left(-x+\log ^2(2)\right)+\left(-10 x^2-2 x^3+\left(10 x+2 x^2\right) \log ^2(2)\right) \log \left(\frac{3}{5+x}\right) \log \left(\log ^2\left(\frac{3}{5+x}\right)\right)}{\left(-5 x^3-x^4+\left(5 x^2+x^3\right) \log ^2(2)\right) \log \left(\frac{3}{5+x}\right)+\left(10 x^2+2 x^3+\left(-10 x-2 x^2\right) \log ^2(2)\right) \log \left(\frac{3}{5+x}\right) \log \left(-x+\log ^2(2)\right)+\left(-5 x-x^2+(5+x) \log ^2(2)\right) \log \left(\frac{3}{5+x}\right) \log ^2\left(-x+\log ^2(2)\right)+\left(\left(-10 x^2-2 x^3+\left(10 x+2 x^2\right) \log ^2(2)\right) \log \left(\frac{3}{5+x}\right)+\left(10 x+2 x^2+(-10-2 x) \log ^2(2)\right) \log \left(\frac{3}{5+x}\right) \log \left(-x+\log ^2(2)\right)\right) \log \left(\log ^2\left(\frac{3}{5+x}\right)\right)+\left(-5 x-x^2+(5+x) \log ^2(2)\right) \log \left(\frac{3}{5+x}\right) \log ^2\left(\log ^2\left(\frac{3}{5+x}\right)\right)} \, dx","Integrate[(-2*x^3 + 2*x^2*Log[2]^2 + (-5*x^2 - 6*x^3 - x^4 + (5*x^2 + x^3)*Log[2]^2)*Log[3/(5 + x)] + (10*x^2 + 2*x^3 + (-10*x - 2*x^2)*Log[2]^2)*Log[3/(5 + x)]*Log[-x + Log[2]^2] + (-10*x^2 - 2*x^3 + (10*x + 2*x^2)*Log[2]^2)*Log[3/(5 + x)]*Log[Log[3/(5 + x)]^2])/((-5*x^3 - x^4 + (5*x^2 + x^3)*Log[2]^2)*Log[3/(5 + x)] + (10*x^2 + 2*x^3 + (-10*x - 2*x^2)*Log[2]^2)*Log[3/(5 + x)]*Log[-x + Log[2]^2] + (-5*x - x^2 + (5 + x)*Log[2]^2)*Log[3/(5 + x)]*Log[-x + Log[2]^2]^2 + ((-10*x^2 - 2*x^3 + (10*x + 2*x^2)*Log[2]^2)*Log[3/(5 + x)] + (10*x + 2*x^2 + (-10 - 2*x)*Log[2]^2)*Log[3/(5 + x)]*Log[-x + Log[2]^2])*Log[Log[3/(5 + x)]^2] + (-5*x - x^2 + (5 + x)*Log[2]^2)*Log[3/(5 + x)]*Log[Log[3/(5 + x)]^2]^2),x]","\frac{x^2}{x-\log \left(\log ^2(2)-x\right)+\log \left(\log ^2\left(\frac{3}{x+5}\right)\right)}","\frac{x^2}{x-\log \left(\log ^2(2)-x\right)+\log \left(\log ^2\left(\frac{3}{x+5}\right)\right)}",1,"x^2/(x - Log[-x + Log[2]^2] + Log[Log[3/(5 + x)]^2])","A",1
4685,1,43,28,0.0667876,"\int \frac{4-5 x-2 x^2+2 x^3+e^5 \left(-2+3 x-x^2\right)+e^2 \left(-x+x^2\right)+\left(-x+x^2\right) \log \left(\frac{1}{x^2}\right)}{-x+x^2} \, dx","Integrate[(4 - 5*x - 2*x^2 + 2*x^3 + E^5*(-2 + 3*x - x^2) + E^2*(-x + x^2) + (-x + x^2)*Log[x^(-2)])/(-x + x^2),x]","x^2+x \log \left(\frac{1}{x^2}\right)-e^5 x+e^2 x+2 x-\log (1-x)+2 e^5 \log (x)-4 \log (x)","\left(x-e^5+2\right) \left(\log \left(\frac{1}{x^2}\right)+x+e^2\right)-\log (1-x)-4",1,"2*x + E^2*x - E^5*x + x^2 - Log[1 - x] + x*Log[x^(-2)] - 4*Log[x] + 2*E^5*Log[x]","A",1
4686,1,29,30,0.1401582,"\int \frac{\exp \left(\frac{100 x^2+100 x^3+25 x^4+\left(100 x^2+50 x^3\right) \log \left(49-14 x+x^2\right)+25 x^2 \log ^2\left(49-14 x+x^2\right)}{\log ^2\left(49-14 x+x^2\right)}\right) \left(-400 x^2-400 x^3-100 x^4+\left(-1400 x-2100 x^2-500 x^3+100 x^4\right) \log \left(49-14 x+x^2\right)+\left(-1400 x-850 x^2+150 x^3\right) \log ^2\left(49-14 x+x^2\right)+\left(-350 x+50 x^2\right) \log ^3\left(49-14 x+x^2\right)\right)}{(21-3 x) \log ^3\left(49-14 x+x^2\right)+\exp \left(\frac{100 x^2+100 x^3+25 x^4+\left(100 x^2+50 x^3\right) \log \left(49-14 x+x^2\right)+25 x^2 \log ^2\left(49-14 x+x^2\right)}{\log ^2\left(49-14 x+x^2\right)}\right) (-7+x) \log ^3\left(49-14 x+x^2\right)} \, dx","Integrate[(E^((100*x^2 + 100*x^3 + 25*x^4 + (100*x^2 + 50*x^3)*Log[49 - 14*x + x^2] + 25*x^2*Log[49 - 14*x + x^2]^2)/Log[49 - 14*x + x^2]^2)*(-400*x^2 - 400*x^3 - 100*x^4 + (-1400*x - 2100*x^2 - 500*x^3 + 100*x^4)*Log[49 - 14*x + x^2] + (-1400*x - 850*x^2 + 150*x^3)*Log[49 - 14*x + x^2]^2 + (-350*x + 50*x^2)*Log[49 - 14*x + x^2]^3))/((21 - 3*x)*Log[49 - 14*x + x^2]^3 + E^((100*x^2 + 100*x^3 + 25*x^4 + (100*x^2 + 50*x^3)*Log[49 - 14*x + x^2] + 25*x^2*Log[49 - 14*x + x^2]^2)/Log[49 - 14*x + x^2]^2)*(-7 + x)*Log[49 - 14*x + x^2]^3),x]","\log \left(\exp \left(\frac{25 x^2 \left(x+\log \left((x-7)^2\right)+2\right)^2}{\log ^2\left((x-7)^2\right)}\right)-3\right)","\log \left(3-e^{x^2 \left(\frac{5 (x+2)}{\log \left((7-x)^2\right)}+5\right)^2}\right)",1,"Log[-3 + E^((25*x^2*(2 + x + Log[(-7 + x)^2])^2)/Log[(-7 + x)^2]^2)]","A",1
4687,1,21,24,0.0146588,"\int \frac{-1+\left(5 x+16 x^2\right) \log (x) \log (\log (x))}{16 x \log (x) \log (\log (x))} \, dx","Integrate[(-1 + (5*x + 16*x^2)*Log[x]*Log[Log[x]])/(16*x*Log[x]*Log[Log[x]]),x]","\frac{x^2}{2}+\frac{5 x}{16}-\frac{1}{16} \log (\log (\log (x)))","\frac{1}{16} (4 (2 x+1) x+x-\log (\log (\log (x))))+e^4",1,"(5*x)/16 + x^2/2 - Log[Log[Log[x]]]/16","A",1
4688,1,22,28,0.0606542,"\int \frac{\exp \left(e^{\log ^2\left(\frac{-4 e^x+x}{16+12 x}\right)}+\log ^2\left(\frac{-4 e^x+x}{16+12 x}\right)\right) \left(-8+e^x (8+24 x)\right) \log \left(\frac{-4 e^x+x}{16+12 x}\right)}{-4 x-3 x^2+e^x (16+12 x)} \, dx","Integrate[(E^(E^Log[(-4*E^x + x)/(16 + 12*x)]^2 + Log[(-4*E^x + x)/(16 + 12*x)]^2)*(-8 + E^x*(8 + 24*x))*Log[(-4*E^x + x)/(16 + 12*x)])/(-4*x - 3*x^2 + E^x*(16 + 12*x)),x]","e^{e^{\log ^2\left(\frac{x-4 e^x}{12 x+16}\right)}}","e^{e^{\log ^2\left(\frac{x-4 e^x}{2 (x+5 (x+1)+3)}\right)}}",1,"E^E^Log[(-4*E^x + x)/(16 + 12*x)]^2","A",1
4689,1,9,11,0.0046886,"\int \frac{-e^{2 x}-2 e^{2 x} x \log (x)}{x} \, dx","Integrate[(-E^(2*x) - 2*E^(2*x)*x*Log[x])/x,x]","-e^{2 x} \log (x)","5-e^{2 x} \log (x)",1,"-(E^(2*x)*Log[x])","A",1
4690,1,23,28,0.1150269,"\int \frac{e^3 (-1-x)-x^2-3 x^3+(-1-x) \log (4)-2 x^2 \log (x)+e^{e^x} \left(x+2 x^2+e^x x^3+\left(x+e^x x^2\right) \log (x)\right)}{x} \, dx","Integrate[(E^3*(-1 - x) - x^2 - 3*x^3 + (-1 - x)*Log[4] - 2*x^2*Log[x] + E^E^x*(x + 2*x^2 + E^x*x^3 + (x + E^x*x^2)*Log[x]))/x,x]","-\left(\left(x^2-e^{e^x} x+e^3+\log (4)\right) (x+\log (x))\right)","\left(\left(e^{e^x}-x\right) x-e^3-\log (4)\right) (x+\log (x))-3",1,"-((E^3 - E^E^x*x + x^2 + Log[4])*(x + Log[x]))","A",1
4691,1,105,19,0.0319039,"\int \frac{1}{125} \left(-21349+20690 x+9450 x^2-13000 x^3+3125 x^4+\left(34020-5400 x-25500 x^2+10000 x^3\right) \log (3)+\left(-14850-12000 x+11250 x^2\right) \log ^2(3)+(500+5000 x) \log ^3(3)+625 \log ^4(3)\right) \, dx","Integrate[(-21349 + 20690*x + 9450*x^2 - 13000*x^3 + 3125*x^4 + (34020 - 5400*x - 25500*x^2 + 10000*x^3)*Log[3] + (-14850 - 12000*x + 11250*x^2)*Log[3]^2 + (500 + 5000*x)*Log[3]^3 + 625*Log[3]^4)/125,x]","5 x^5+2 x^4 (10 \log (3)-13)+\frac{2}{5} x^3 \left(63+75 \log ^2(3)-170 \log (3)\right)+\frac{2069 x^2}{25}+20 x^2 \log ^3(3)-48 x^2 \log ^2(3)-\frac{108}{5} x^2 \log (3)-\frac{21349 x}{125}+5 x \log ^4(3)+4 x \log ^3(3)-\frac{594}{5} x \log ^2(3)+\frac{6804}{25} x \log (3)","5 \left((x+2) \left(x+\left(x-\frac{9}{5}+\log (3)\right)^4\right)-3\right)",1,"(-21349*x)/125 + (2069*x^2)/25 + 5*x^5 + (6804*x*Log[3])/25 - (108*x^2*Log[3])/5 - (594*x*Log[3]^2)/5 - 48*x^2*Log[3]^2 + 4*x*Log[3]^3 + 20*x^2*Log[3]^3 + 5*x*Log[3]^4 + 2*x^4*(-13 + 10*Log[3]) + (2*x^3*(63 - 170*Log[3] + 75*Log[3]^2))/5","B",1
4692,1,38,24,0.0037153,"\int \frac{1}{3} \left(42+72 x-18 x^2+e^5 \left(12 x^2+16 x^3\right) \log (5)\right) \, dx","Integrate[(42 + 72*x - 18*x^2 + E^5*(12*x^2 + 16*x^3)*Log[5])/3,x]","\frac{4}{3} e^5 x^4 \log (5)-2 x^3+\frac{4}{3} e^5 x^3 \log (5)+12 x^2+14 x","x (2 x+2) \left(\frac{2}{3} e^5 x^2 \log (5)-x+7\right)",1,"14*x + 12*x^2 - 2*x^3 + (4*E^5*x^3*Log[5])/3 + (4*E^5*x^4*Log[5])/3","A",1
4693,1,22,24,0.188741,"\int \frac{-98+68 x-2 x^2-62 x^3+16 x^4-2 x^6}{\left(49 x-14 x^2+x^3-14 x^4+2 x^5+x^7\right) \log ^2\left(e^{-\frac{15-5 x}{-7+x+x^3}} x\right)} \, dx","Integrate[(-98 + 68*x - 2*x^2 - 62*x^3 + 16*x^4 - 2*x^6)/((49*x - 14*x^2 + x^3 - 14*x^4 + 2*x^5 + x^7)*Log[x/E^((15 - 5*x)/(-7 + x + x^3))]^2),x]","\frac{2}{\log \left(e^{\frac{5 (x-3)}{x^3+x-7}} x\right)}","\frac{2}{\log \left(e^{-\frac{5 (3-x)}{x^3+x-7}} x\right)}",1,"2/Log[E^((5*(-3 + x))/(-7 + x + x^3))*x]","A",1
4694,1,25,25,0.2501602,"\int \frac{2 \log ^3\left(\frac{1}{5 x}\right)+\left(-4 \log ^3\left(\frac{1}{5 x}\right)-\log ^4\left(\frac{1}{5 x}\right)\right) \log (x)+\left(6 \log ^2\left(\frac{1}{5 x}\right)+\left(-12 \log ^2\left(\frac{1}{5 x}\right)-4 \log ^3\left(\frac{1}{5 x}\right)\right) \log (x)\right) \log \left(\frac{\log (x)}{x}\right)+\left(6 \log \left(\frac{1}{5 x}\right)+\left(-12 \log \left(\frac{1}{5 x}\right)-6 \log ^2\left(\frac{1}{5 x}\right)\right) \log (x)\right) \log ^2\left(\frac{\log (x)}{x}\right)+\left(2+\left(-4-4 \log \left(\frac{1}{5 x}\right)\right) \log (x)\right) \log ^3\left(\frac{\log (x)}{x}\right)-\log (x) \log ^4\left(\frac{\log (x)}{x}\right)}{2 x^3 \log (x)} \, dx","Integrate[(2*Log[1/(5*x)]^3 + (-4*Log[1/(5*x)]^3 - Log[1/(5*x)]^4)*Log[x] + (6*Log[1/(5*x)]^2 + (-12*Log[1/(5*x)]^2 - 4*Log[1/(5*x)]^3)*Log[x])*Log[Log[x]/x] + (6*Log[1/(5*x)] + (-12*Log[1/(5*x)] - 6*Log[1/(5*x)]^2)*Log[x])*Log[Log[x]/x]^2 + (2 + (-4 - 4*Log[1/(5*x)])*Log[x])*Log[Log[x]/x]^3 - Log[x]*Log[Log[x]/x]^4)/(2*x^3*Log[x]),x]","\frac{\left(\log \left(\frac{1}{5 x}\right)+\log \left(\frac{\log (x)}{x}\right)\right)^4}{4 x^2}","\frac{\left(\log \left(\frac{1}{5 x}\right)+\log \left(\frac{\log (x)}{x}\right)\right)^4}{4 x^2}",1,"(Log[1/(5*x)] + Log[Log[x]/x])^4/(4*x^2)","A",1
4695,1,28,31,0.2304794,"\int \frac{2-5 x+2 x^2+\left(2-7 x+5 x^2+3 x^3-4 x^4+x^5\right) \log (-1+x)+\left(2-7 x+5 x^2+3 x^3-4 x^4+x^5\right) \log (x)+\left(\left(3 x-4 x^2+x^3\right) \log (-1+x)+\left(3 x-4 x^2+x^3\right) \log (x)\right) \log (x \log (-1+x)+x \log (x))}{\left(-4 x^2+8 x^3-5 x^4+x^5\right) \log (-1+x)+\left(-4 x^2+8 x^3-5 x^4+x^5\right) \log (x)+\left(\left(2 x-3 x^2+x^3\right) \log (-1+x)+\left(2 x-3 x^2+x^3\right) \log (x)\right) \log (x \log (-1+x)+x \log (x))} \, dx","Integrate[(2 - 5*x + 2*x^2 + (2 - 7*x + 5*x^2 + 3*x^3 - 4*x^4 + x^5)*Log[-1 + x] + (2 - 7*x + 5*x^2 + 3*x^3 - 4*x^4 + x^5)*Log[x] + ((3*x - 4*x^2 + x^3)*Log[-1 + x] + (3*x - 4*x^2 + x^3)*Log[x])*Log[x*Log[-1 + x] + x*Log[x]])/((-4*x^2 + 8*x^3 - 5*x^4 + x^5)*Log[-1 + x] + (-4*x^2 + 8*x^3 - 5*x^4 + x^5)*Log[x] + ((2*x - 3*x^2 + x^3)*Log[-1 + x] + (2*x - 3*x^2 + x^3)*Log[x])*Log[x*Log[-1 + x] + x*Log[x]]),x]","\log \left(x^2-2 x+\log (x (\log (x-1)+\log (x)))\right)+x-\log (2-x)","\log \left(\frac{x \log (x (\log (x-1)+\log (x)))}{2 x-x^2}-x\right)+x+3",1,"x - Log[2 - x] + Log[-2*x + x^2 + Log[x*(Log[-1 + x] + Log[x])]]","A",1
4696,1,45,17,0.0056231,"\int \frac{500+440 x+32 x^2+(500+40 x) \log (4)+(2500+200 x) \log \left(x^2\right)}{25 x} \, dx","Integrate[(500 + 440*x + 32*x^2 + (500 + 40*x)*Log[4] + (2500 + 200*x)*Log[x^2])/(25*x),x]","\frac{16 x^2}{25}+25 \log ^2\left(x^2\right)+8 x \log \left(x^2\right)+\frac{8 x}{5}+\frac{8}{5} x \log (4)+20 \log (4) \log (x)+20 \log (x)","\left(5 \log \left(x^2\right)+\frac{4 x}{5}+1+\log (4)\right)^2",1,"(8*x)/5 + (16*x^2)/25 + (8*x*Log[4])/5 + 20*Log[x] + 20*Log[4]*Log[x] + 8*x*Log[x^2] + 25*Log[x^2]^2","B",1
4697,1,40,26,0.153104,"\int \frac{24-44 x+2 x^2-26 x^4+2 x^5+\left(20-24 x+4 x^2-5 x^4+x^5\right) \log \left(\frac{1}{4} \left(-4+4 x+x^4\right)\right)}{-8+8 x+2 x^4} \, dx","Integrate[(24 - 44*x + 2*x^2 - 26*x^4 + 2*x^5 + (20 - 24*x + 4*x^2 - 5*x^4 + x^5)*Log[(-4 + 4*x + x^4)/4])/(-8 + 8*x + 2*x^4),x]","\frac{1}{2} \left(-5 x \log \left(\frac{x^4}{4}+x-1\right)+\frac{1}{2} x^2 \log \left(\frac{x^4}{4}+x-1\right)-6 x\right)","-\frac{1}{4} (10-x) x \log \left(\frac{x^4}{4}+x-1\right)-3 x+3",1,"(-6*x - 5*x*Log[-1 + x + x^4/4] + (x^2*Log[-1 + x + x^4/4])/2)/2","A",1
4698,0,0,28,0.7240236,"\int \frac{\left(4 x+8 x^2+4 x^3\right) \log (x)+\left(e^x \left(-x^2-3 x^3-3 x^4-x^5+\left(-2 x-6 x^2-6 x^3-2 x^4\right) \log (2)\right)+\left(8 x+8 x^2+(16+16 x) \log (2)\right) \log (x)+\left(-8 x^2-16 x \log (2)\right) \log ^2(x)\right) \log \left(\frac{1}{2} (x+2 \log (2))\right)+\left(2 x+6 x^2+6 x^3+2 x^4+\left(4 x+8 x^2+4 x^3+\left(8+16 x+8 x^2\right) \log (2)+\left(-4 x^2-4 x^3+\left(-8 x-8 x^2\right) \log (2)\right) \log (x)\right) \log \left(\frac{1}{2} (x+2 \log (2))\right)\right) \log \left(\log \left(\frac{1}{2} (x+2 \log (2))\right)\right)}{\left(x^2+3 x^3+3 x^4+x^5+\left(2 x+6 x^2+6 x^3+2 x^4\right) \log (2)\right) \log \left(\frac{1}{2} (x+2 \log (2))\right)} \, dx","Integrate[((4*x + 8*x^2 + 4*x^3)*Log[x] + (E^x*(-x^2 - 3*x^3 - 3*x^4 - x^5 + (-2*x - 6*x^2 - 6*x^3 - 2*x^4)*Log[2]) + (8*x + 8*x^2 + (16 + 16*x)*Log[2])*Log[x] + (-8*x^2 - 16*x*Log[2])*Log[x]^2)*Log[(x + 2*Log[2])/2] + (2*x + 6*x^2 + 6*x^3 + 2*x^4 + (4*x + 8*x^2 + 4*x^3 + (8 + 16*x + 8*x^2)*Log[2] + (-4*x^2 - 4*x^3 + (-8*x - 8*x^2)*Log[2])*Log[x])*Log[(x + 2*Log[2])/2])*Log[Log[(x + 2*Log[2])/2]])/((x^2 + 3*x^3 + 3*x^4 + x^5 + (2*x + 6*x^2 + 6*x^3 + 2*x^4)*Log[2])*Log[(x + 2*Log[2])/2]),x]","\int \frac{\left(4 x+8 x^2+4 x^3\right) \log (x)+\left(e^x \left(-x^2-3 x^3-3 x^4-x^5+\left(-2 x-6 x^2-6 x^3-2 x^4\right) \log (2)\right)+\left(8 x+8 x^2+(16+16 x) \log (2)\right) \log (x)+\left(-8 x^2-16 x \log (2)\right) \log ^2(x)\right) \log \left(\frac{1}{2} (x+2 \log (2))\right)+\left(2 x+6 x^2+6 x^3+2 x^4+\left(4 x+8 x^2+4 x^3+\left(8+16 x+8 x^2\right) \log (2)+\left(-4 x^2-4 x^3+\left(-8 x-8 x^2\right) \log (2)\right) \log (x)\right) \log \left(\frac{1}{2} (x+2 \log (2))\right)\right) \log \left(\log \left(\frac{1}{2} (x+2 \log (2))\right)\right)}{\left(x^2+3 x^3+3 x^4+x^5+\left(2 x+6 x^2+6 x^3+2 x^4\right) \log (2)\right) \log \left(\frac{1}{2} (x+2 \log (2))\right)} \, dx","\left(\frac{2 \log (x)}{x+1}+\log \left(\log \left(\frac{x}{2}+\log (2)\right)\right)\right)^2-e^x",1,"Integrate[((4*x + 8*x^2 + 4*x^3)*Log[x] + (E^x*(-x^2 - 3*x^3 - 3*x^4 - x^5 + (-2*x - 6*x^2 - 6*x^3 - 2*x^4)*Log[2]) + (8*x + 8*x^2 + (16 + 16*x)*Log[2])*Log[x] + (-8*x^2 - 16*x*Log[2])*Log[x]^2)*Log[(x + 2*Log[2])/2] + (2*x + 6*x^2 + 6*x^3 + 2*x^4 + (4*x + 8*x^2 + 4*x^3 + (8 + 16*x + 8*x^2)*Log[2] + (-4*x^2 - 4*x^3 + (-8*x - 8*x^2)*Log[2])*Log[x])*Log[(x + 2*Log[2])/2])*Log[Log[(x + 2*Log[2])/2]])/((x^2 + 3*x^3 + 3*x^4 + x^5 + (2*x + 6*x^2 + 6*x^3 + 2*x^4)*Log[2])*Log[(x + 2*Log[2])/2]), x]","F",-1
4699,1,28,25,0.3489537,"\int \frac{-80+184 x+41 x^2+\left(-18+38 x+4 x^2\right) \log (x)+(-1+2 x) \log ^2(x)}{10000+8200 x+2481 x^2+328 x^3+16 x^4+\left(4000+2440 x+488 x^2+32 x^3\right) \log (x)+\left(600+242 x+24 x^2\right) \log ^2(x)+(40+8 x) \log ^3(x)+\log ^4(x)} \, dx","Integrate[(-80 + 184*x + 41*x^2 + (-18 + 38*x + 4*x^2)*Log[x] + (-1 + 2*x)*Log[x]^2)/(10000 + 8200*x + 2481*x^2 + 328*x^3 + 16*x^4 + (4000 + 2440*x + 488*x^2 + 32*x^3)*Log[x] + (600 + 242*x + 24*x^2)*Log[x]^2 + (40 + 8*x)*Log[x]^3 + Log[x]^4),x]","\frac{(x-1) x}{4 x^2+41 x+\log ^2(x)+4 (x+5) \log (x)+100}","\frac{\left(1-\frac{1}{x}\right) x^2}{x+(2 (x+5)+\log (x))^2}",1,"((-1 + x)*x)/(100 + 41*x + 4*x^2 + 4*(5 + x)*Log[x] + Log[x]^2)","A",1
4700,1,23,23,0.0839177,"\int \frac{\exp \left(x \log ^{-\frac{2}{3 x}}\left(50625+e^{20}+e^{15} (-60-4 x)+13500 x+1350 x^2+60 x^3+x^4+e^{10} \left(1350+180 x+6 x^2\right)+e^5 \left(-13500-2700 x-180 x^2-4 x^3\right)\right)\right) \log ^{-1-\frac{2}{3 x}}\left(50625+e^{20}+e^{15} (-60-4 x)+13500 x+1350 x^2+60 x^3+x^4+e^{10} \left(1350+180 x+6 x^2\right)+e^5 \left(-13500-2700 x-180 x^2-4 x^3\right)\right) \left(8 x+\left(-45 x+3 e^5 x-3 x^2\right) \log \left(50625+e^{20}+e^{15} (-60-4 x)+13500 x+1350 x^2+60 x^3+x^4+e^{10} \left(1350+180 x+6 x^2\right)+e^5 \left(-13500-2700 x-180 x^2-4 x^3\right)\right)+\left(-30+2 e^5-2 x\right) \log \left(50625+e^{20}+e^{15} (-60-4 x)+13500 x+1350 x^2+60 x^3+x^4+e^{10} \left(1350+180 x+6 x^2\right)+e^5 \left(-13500-2700 x-180 x^2-4 x^3\right)\right) \log \left(\log \left(50625+e^{20}+e^{15} (-60-4 x)+13500 x+1350 x^2+60 x^3+x^4+e^{10} \left(1350+180 x+6 x^2\right)+e^5 \left(-13500-2700 x-180 x^2-4 x^3\right)\right)\right)\right)}{-45 x+3 e^5 x-3 x^2} \, dx","Integrate[(E^(x/Log[50625 + E^20 + E^15*(-60 - 4*x) + 13500*x + 1350*x^2 + 60*x^3 + x^4 + E^10*(1350 + 180*x + 6*x^2) + E^5*(-13500 - 2700*x - 180*x^2 - 4*x^3)]^(2/(3*x)))*Log[50625 + E^20 + E^15*(-60 - 4*x) + 13500*x + 1350*x^2 + 60*x^3 + x^4 + E^10*(1350 + 180*x + 6*x^2) + E^5*(-13500 - 2700*x - 180*x^2 - 4*x^3)]^(-1 - 2/(3*x))*(8*x + (-45*x + 3*E^5*x - 3*x^2)*Log[50625 + E^20 + E^15*(-60 - 4*x) + 13500*x + 1350*x^2 + 60*x^3 + x^4 + E^10*(1350 + 180*x + 6*x^2) + E^5*(-13500 - 2700*x - 180*x^2 - 4*x^3)] + (-30 + 2*E^5 - 2*x)*Log[50625 + E^20 + E^15*(-60 - 4*x) + 13500*x + 1350*x^2 + 60*x^3 + x^4 + E^10*(1350 + 180*x + 6*x^2) + E^5*(-13500 - 2700*x - 180*x^2 - 4*x^3)]*Log[Log[50625 + E^20 + E^15*(-60 - 4*x) + 13500*x + 1350*x^2 + 60*x^3 + x^4 + E^10*(1350 + 180*x + 6*x^2) + E^5*(-13500 - 2700*x - 180*x^2 - 4*x^3)]]))/(-45*x + 3*E^5*x - 3*x^2),x]","e^{x \log ^{-\frac{2}{3 x}}\left(\left(x-e^5+15\right)^4\right)}","e^{x \log ^{-\frac{2}{3 x}}\left(\left(x-e^5+15\right)^4\right)}",1,"E^(x/Log[(15 - E^5 + x)^4]^(2/(3*x)))","A",1
4701,1,27,21,0.0213784,"\int \frac{240 x+768 x^4}{25-320 x^3+64 e^2 x^4+1024 x^6+e \left(80 x^2-512 x^5\right)+\left(-80 x^2-128 e x^4+512 x^5\right) \log (4)+64 x^4 \log ^2(4)} \, dx","Integrate[(240*x + 768*x^4)/(25 - 320*x^3 + 64*E^2*x^4 + 1024*x^6 + E*(80*x^2 - 512*x^5) + (-80*x^2 - 128*E*x^4 + 512*x^5)*Log[4] + 64*x^4*Log[4]^2),x]","-\frac{24 x^2}{32 x^3-8 e x^2+8 x^2 \log (4)-5}","-\frac{3}{4 \left(x-\frac{5}{32 x^2}\right)-e+\log (4)}",1,"(-24*x^2)/(-5 - 8*E*x^2 + 32*x^3 + 8*x^2*Log[4])","A",1
4702,1,19,22,0.070211,"\int \left(1+e^{e^{3-x+x \log ^2(x)}} \left(1+e^{3-x+x \log ^2(x)} \left(-x+2 x \log (x)+x \log ^2(x)\right)\right)\right) \, dx","Integrate[1 + E^E^(3 - x + x*Log[x]^2)*(1 + E^(3 - x + x*Log[x]^2)*(-x + 2*x*Log[x] + x*Log[x]^2)),x]","x+x e^{e^{-x+x \log ^2(x)+3}}","x+x e^{e^{-x+x \log ^2(x)+3}}+\frac{3}{4}",1,"x + E^E^(3 - x + x*Log[x]^2)*x","A",1
4703,1,58,36,0.1923415,"\int \frac{55+30 x-18 x^2+102 x^3+110 x^4-56 x^5+6 x^6+100 x^7-40 x^8+4 x^9+e^2 \left(-50 x^2+20 x^3-2 x^4-100 x^5+40 x^6-4 x^7\right)+\left(275+150 x-90 x^2+410 x^3+390 x^4-204 x^5+22 x^6+200 x^7-80 x^8+8 x^9+e^4 \left(100 x^3-40 x^4+4 x^5\right)+e^2 \left(-100 x-210 x^2+96 x^3-10 x^4-300 x^5+120 x^6-12 x^7\right)\right) \log (x)+\left(550+300 x-180 x^2+520 x^3+450 x^4-240 x^5+26 x^6+e^2 \left(-200 x-270 x^2+132 x^3-14 x^4\right)\right) \log ^2(x)+\left(550+300 x-180 x^2+220 x^3+170 x^4-92 x^5+10 x^6+e^2 \left(-100 x-110 x^2+56 x^3-6 x^4\right)\right) \log ^3(x)+\left(275+150 x-90 x^2+10 x^3\right) \log ^4(x)+\left(55+30 x-18 x^2+2 x^3\right) \log ^5(x)}{25-10 x+x^2+\left(125-50 x+5 x^2\right) \log (x)+\left(250-100 x+10 x^2\right) \log ^2(x)+\left(250-100 x+10 x^2\right) \log ^3(x)+\left(125-50 x+5 x^2\right) \log ^4(x)+\left(25-10 x+x^2\right) \log ^5(x)} \, dx","Integrate[(55 + 30*x - 18*x^2 + 102*x^3 + 110*x^4 - 56*x^5 + 6*x^6 + 100*x^7 - 40*x^8 + 4*x^9 + E^2*(-50*x^2 + 20*x^3 - 2*x^4 - 100*x^5 + 40*x^6 - 4*x^7) + (275 + 150*x - 90*x^2 + 410*x^3 + 390*x^4 - 204*x^5 + 22*x^6 + 200*x^7 - 80*x^8 + 8*x^9 + E^4*(100*x^3 - 40*x^4 + 4*x^5) + E^2*(-100*x - 210*x^2 + 96*x^3 - 10*x^4 - 300*x^5 + 120*x^6 - 12*x^7))*Log[x] + (550 + 300*x - 180*x^2 + 520*x^3 + 450*x^4 - 240*x^5 + 26*x^6 + E^2*(-200*x - 270*x^2 + 132*x^3 - 14*x^4))*Log[x]^2 + (550 + 300*x - 180*x^2 + 220*x^3 + 170*x^4 - 92*x^5 + 10*x^6 + E^2*(-100*x - 110*x^2 + 56*x^3 - 6*x^4))*Log[x]^3 + (275 + 150*x - 90*x^2 + 10*x^3)*Log[x]^4 + (55 + 30*x - 18*x^2 + 2*x^3)*Log[x]^5)/(25 - 10*x + x^2 + (125 - 50*x + 5*x^2)*Log[x] + (250 - 100*x + 10*x^2)*Log[x]^2 + (250 - 100*x + 10*x^2)*Log[x]^3 + (125 - 50*x + 5*x^2)*Log[x]^4 + (25 - 10*x + x^2)*Log[x]^5),x]","x^2+\frac{2 (x+1) \left(x^2-e^2\right) x^2}{(\log (x)+1)^2}+\frac{\left(e^2-x^2\right)^2 x^4}{(\log (x)+1)^4}+2 x-\frac{5}{x-5}","\left(\frac{\left(e^2-x^2\right) x^2}{(\log (x)+1)^2}-x-1\right)^2+\frac{5}{5-x}",1,"-5/(-5 + x) + 2*x + x^2 + (x^4*(E^2 - x^2)^2)/(1 + Log[x])^4 + (2*x^2*(1 + x)*(-E^2 + x^2))/(1 + Log[x])^2","A",1
4704,1,29,22,0.0081682,"\int \frac{2 e^{3+8 e^5} x}{e^9-15 e^6 x+75 e^3 x^2-125 x^3} \, dx","Integrate[(2*E^(3 + 8*E^5)*x)/(E^9 - 15*E^6*x + 75*E^3*x^2 - 125*x^3),x]","-\frac{e^{3+8 e^5} \left(e^3-10 x\right)}{25 \left(e^3-5 x\right)^2}","\frac{e^{8 e^5} x^2}{\left(5 x-e^3\right)^2}",1,"-1/25*(E^(3 + 8*E^5)*(E^3 - 10*x))/(E^3 - 5*x)^2","A",1
4705,1,22,26,0.1326404,"\int \frac{-1+3 \log (x)}{x^2 \log (x)+x \log (x) \log \left(\frac{e^{-4-x} x^3}{10 \log (x)}\right)} \, dx","Integrate[(-1 + 3*Log[x])/(x^2*Log[x] + x*Log[x]*Log[(E^(-4 - x)*x^3)/(10*Log[x])]),x]","\log \left(\log \left(\frac{e^{-x-4} x^3}{10 \log (x)}\right)+x\right)","\log \left(\frac{1}{2} \left(\log \left(\frac{e^{-x-4} x^3}{10 \log (x)}\right)+x\right)\right)",1,"Log[x + Log[(E^(-4 - x)*x^3)/(10*Log[x])]]","A",1
4706,1,52,26,0.3128152,"\int \frac{-8 e^{x/2} x^2+e^{x/2} \left(8 x+2 x^2\right) \log \left(4 e^{5+x}\right)}{-64 e^{3 x/4} x^3+48 e^{x/2} x^2 \log \left(4 e^{5+x}\right)-12 e^{x/4} x \log ^2\left(4 e^{5+x}\right)+\log ^3\left(4 e^{5+x}\right)} \, dx","Integrate[(-8*E^(x/2)*x^2 + E^(x/2)*(8*x + 2*x^2)*Log[4*E^(5 + x)])/(-64*E^((3*x)/4)*x^3 + 48*E^(x/2)*x^2*Log[4*E^(5 + x)] - 12*E^(x/4)*x*Log[4*E^(5 + x)]^2 + Log[4*E^(5 + x)]^3),x]","-\frac{\log \left(4 e^{x+5}\right) \left(\log \left(4 e^{x+5}\right)-8 e^{x/4} x\right)}{4 \left(\log \left(4 e^{x+5}\right)-4 e^{x/4} x\right)^2}","\frac{4}{\left(4-\frac{e^{-x/4} \log \left(4 e^{x+5}\right)}{x}\right)^2}",1,"-1/4*(Log[4*E^(5 + x)]*(-8*E^(x/4)*x + Log[4*E^(5 + x)]))/(-4*E^(x/4)*x + Log[4*E^(5 + x)])^2","A",1
4707,1,27,30,0.1111673,"\int \frac{x^3+\left(2 x^2+x^3\right) \log \left(\frac{1}{2} (6+3 x)\right)+e^{e^x} \left(-4-2 x-x^2+e^x \left(4 x+2 x^2\right)+\left(-4 x-2 x^2+e^x \left(2 x^2+x^3\right)\right) \log \left(\frac{1}{2} (6+3 x)\right)\right)}{8 x^2+4 x^3+\left(8 x^3+4 x^4\right) \log \left(\frac{1}{2} (6+3 x)\right)+\left(2 x^4+x^5\right) \log ^2\left(\frac{1}{2} (6+3 x)\right)} \, dx","Integrate[(x^3 + (2*x^2 + x^3)*Log[(6 + 3*x)/2] + E^E^x*(-4 - 2*x - x^2 + E^x*(4*x + 2*x^2) + (-4*x - 2*x^2 + E^x*(2*x^2 + x^3))*Log[(6 + 3*x)/2]))/(8*x^2 + 4*x^3 + (8*x^3 + 4*x^4)*Log[(6 + 3*x)/2] + (2*x^4 + x^5)*Log[(6 + 3*x)/2]^2),x]","\frac{e^{e^x}-x}{x \left(x \log \left(\frac{3 (x+2)}{2}\right)+2\right)}","\frac{\log \left(e^{e^{e^x}-x}\right)}{x \left(x \log \left(\frac{3 x}{2}+3\right)+2\right)}",1,"(E^E^x - x)/(x*(2 + x*Log[(3*(2 + x))/2]))","A",1
4708,1,6,6,0.0000619,"\int 18 e^4 \, dx","Integrate[18*E^4,x]","18 e^4 x","18 e^4 x",1,"18*E^4*x","A",1
4709,1,23,25,0.8072019,"\int \left(324 x^3+e^{9 e^{e^{e^x}}+3 x} \left(-750000 x^3-562500 x^4-1687500 e^{e^{e^x}+e^x+x} x^4\right)+e^{3 e^{e^{e^x}}+x} \left(-10800 x^3-2700 x^4-8100 e^{e^{e^x}+e^x+x} x^4\right)+e^{6 e^{e^{e^x}}+2 x} \left(135000 x^3+67500 x^4+202500 e^{e^{e^x}+e^x+x} x^4\right)+e^{12 e^{e^{e^x}}+4 x} \left(1562500 x^3+1562500 x^4+4687500 e^{e^{e^x}+e^x+x} x^4\right)\right) \, dx","Integrate[324*x^3 + E^(9*E^E^E^x + 3*x)*(-750000*x^3 - 562500*x^4 - 1687500*E^(E^E^x + E^x + x)*x^4) + E^(3*E^E^E^x + x)*(-10800*x^3 - 2700*x^4 - 8100*E^(E^E^x + E^x + x)*x^4) + E^(6*E^E^E^x + 2*x)*(135000*x^3 + 67500*x^4 + 202500*E^(E^E^x + E^x + x)*x^4) + E^(12*E^E^E^x + 4*x)*(1562500*x^3 + 1562500*x^4 + 4687500*E^(E^E^x + E^x + x)*x^4),x]","\left(3-25 e^{x+3 e^{e^{e^x}}}\right)^4 x^4","\left(\left(4-25 e^{x+3 e^{e^{e^x}}}\right) x-x\right)^4",1,"(3 - 25*E^(3*E^E^E^x + x))^4*x^4","A",1
4710,1,27,21,0.2754057,"\int \frac{e^{11}+e^{11+x} (-1-x)+4 x^3}{e^{11} (-7-x)+e^{11+x} x-x^4} \, dx","Integrate[(E^11 + E^(11 + x)*(-1 - x) + 4*x^3)/(E^11*(-7 - x) + E^(11 + x)*x - x^4),x]","-\log \left(-x^4+e^{x+11} x-e^{11} x-7 e^{11}\right)","\log \left(\frac{2}{\frac{x^4}{e^{11}}-e^x x+x+7}\right)",1,"-Log[-7*E^11 - E^11*x + E^(11 + x)*x - x^4]","A",1
4711,1,22,25,0.6851295,"\int \frac{e^{\frac{3 x^2}{4 e^x x-x \log (4)}} \left(-64 e^{2 x} x^2-12 x^3 \log (4)-4 x^2 \log ^2(4)+e^x x \left(48 x^2-48 x^3+32 x \log (4)\right)\right)}{16 e^{2 x} x^4-8 e^x x^4 \log (4)+x^4 \log ^2(4)} \, dx","Integrate[(E^((3*x^2)/(4*E^x*x - x*Log[4]))*(-64*E^(2*x)*x^2 - 12*x^3*Log[4] - 4*x^2*Log[4]^2 + E^x*x*(48*x^2 - 48*x^3 + 32*x*Log[4])))/(16*E^(2*x)*x^4 - 8*E^x*x^4*Log[4] + x^4*Log[4]^2),x]","\frac{4 e^{\frac{3 x}{4 e^x-\log (4)}}}{x}","\frac{4 e^{-\frac{3 x^2}{x \log (4)-4 e^x x}}}{x}",1,"(4*E^((3*x)/(4*E^x - Log[4])))/x","A",1
4712,1,51,26,0.1329859,"\int \frac{-3 x^3+e^3 \left(10 x^2-x^3-x^4\right)+e^x \left(-6 x^3+e^3 \left(-10 x^2-2 x^3-2 x^4\right)\right)+e^{2 x} \left(6 x^3+e^3 \left(2 x^3+2 x^4\right)\right)+\left(-30 x+e^3 \left(40 x-10 x^2\right)+e^x \left(30 x-30 x^2+e^3 \left(10 x-10 x^3\right)\right)\right) \log \left(3+e^3 (1+x)\right)+\left(-150+e^3 (-50-50 x)\right) \log ^2\left(3+e^3 (1+x)\right)}{3 x^3+e^3 \left(x^3+x^4\right)} \, dx","Integrate[(-3*x^3 + E^3*(10*x^2 - x^3 - x^4) + E^x*(-6*x^3 + E^3*(-10*x^2 - 2*x^3 - 2*x^4)) + E^(2*x)*(6*x^3 + E^3*(2*x^3 + 2*x^4)) + (-30*x + E^3*(40*x - 10*x^2) + E^x*(30*x - 30*x^2 + E^3*(10*x - 10*x^3)))*Log[3 + E^3*(1 + x)] + (-150 + E^3*(-50 - 50*x))*Log[3 + E^3*(1 + x)]^2)/(3*x^3 + E^3*(x^3 + x^4)),x]","\frac{25 \log ^2\left(e^3 (x+1)+3\right)}{x^2}-2 e^x+e^{2 x}-x-\frac{10 \left(e^x-1\right) \log \left(e^3 (x+1)+3\right)}{x}","\left(e^x-\frac{5 \log \left(e^3 (x+1)+3\right)}{x}-1\right)^2-x",1,"-2*E^x + E^(2*x) - x - (10*(-1 + E^x)*Log[3 + E^3*(1 + x)])/x + (25*Log[3 + E^3*(1 + x)]^2)/x^2","A",1
4713,1,31,21,0.0164943,"\int \frac{1}{256} \left(e^{2 x} (-9-18 x)+512 x-27 x^2+e^x \left(-36 x-18 x^2\right)\right) \, dx","Integrate[(E^(2*x)*(-9 - 18*x) + 512*x - 27*x^2 + E^x*(-36*x - 18*x^2))/256,x]","\frac{1}{256} \left(-9 x^3-18 e^x x^2+256 x^2-9 e^{2 x} x\right)","x \left(x-\frac{9}{256} \left(x+e^x\right)^2\right)-e^{16}",1,"(-9*E^(2*x)*x + 256*x^2 - 18*E^x*x^2 - 9*x^3)/256","A",1
4714,1,30,31,1.3071713,"\int \frac{e^{3+\frac{e^{2+e^x}}{5}} \left(4 e^x+e^x (-4+4 x) \log (x)+\frac{1}{5} e^{2+e^x} \left(8 e^x x^2-4 e^{2 x} x \log (x)\right)\right)}{4 x^2-4 e^x x \log (x)+e^{2 x} \log ^2(x)} \, dx","Integrate[(E^(3 + E^(2 + E^x)/5)*(4*E^x + E^x*(-4 + 4*x)*Log[x] + (E^(2 + E^x)*(8*E^x*x^2 - 4*E^(2*x)*x*Log[x]))/5))/(4*x^2 - 4*E^x*x*Log[x] + E^(2*x)*Log[x]^2),x]","-\frac{4 e^{\frac{e^{e^x+2}}{5}+3} x}{e^x \log (x)-2 x}","\frac{2 e^{\frac{e^{e^x+2}}{5}+3} x}{x-\frac{1}{2} e^x \log (x)}",1,"(-4*E^(3 + E^(2 + E^x)/5)*x)/(-2*x + E^x*Log[x])","A",1
4715,1,29,29,0.1832966,"\int \frac{e^{e^2+x^2} \left(-3-6 x^2\right)+e^{x^2} \left(3 x+6 x^3\right)+e^{e^2} \left(-1+e^4-3 e^{x^2} x\right) \log \left(-1+e^4-3 e^{x^2} x\right)+\left(-1+e^4-3 e^{x^2} x\right) \log \left(-1+e^4-3 e^{x^2} x\right) \log \left(\log \left(-1+e^4-3 e^{x^2} x\right)\right)}{\left(x^2-e^4 x^2+3 e^{x^2} x^3\right) \log \left(-1+e^4-3 e^{x^2} x\right)+\left(2 x-2 e^4 x+6 e^{x^2} x^2\right) \log \left(-1+e^4-3 e^{x^2} x\right) \log \left(\log \left(-1+e^4-3 e^{x^2} x\right)\right)+\left(1-e^4+3 e^{x^2} x\right) \log \left(-1+e^4-3 e^{x^2} x\right) \log ^2\left(\log \left(-1+e^4-3 e^{x^2} x\right)\right)} \, dx","Integrate[(E^(E^2 + x^2)*(-3 - 6*x^2) + E^x^2*(3*x + 6*x^3) + E^E^2*(-1 + E^4 - 3*E^x^2*x)*Log[-1 + E^4 - 3*E^x^2*x] + (-1 + E^4 - 3*E^x^2*x)*Log[-1 + E^4 - 3*E^x^2*x]*Log[Log[-1 + E^4 - 3*E^x^2*x]])/((x^2 - E^4*x^2 + 3*E^x^2*x^3)*Log[-1 + E^4 - 3*E^x^2*x] + (2*x - 2*E^4*x + 6*E^x^2*x^2)*Log[-1 + E^4 - 3*E^x^2*x]*Log[Log[-1 + E^4 - 3*E^x^2*x]] + (1 - E^4 + 3*E^x^2*x)*Log[-1 + E^4 - 3*E^x^2*x]*Log[Log[-1 + E^4 - 3*E^x^2*x]]^2),x]","\frac{e^{e^2}-x}{\log \left(\log \left(-3 e^{x^2} x+e^4-1\right)\right)+x}","\frac{e^{e^2}-x}{\log \left(\log \left(-3 e^{x^2} x+e^4-1\right)\right)+x}",1,"(E^E^2 - x)/(x + Log[Log[-1 + E^4 - 3*E^x^2*x]])","A",1
4716,1,16,28,0.0015008,"\int \frac{25+16 x^2+8 x^3}{16 x^2} \, dx","Integrate[(25 + 16*x^2 + 8*x^3)/(16*x^2),x]","\frac{x^2}{4}+x-\frac{25}{16 x}","\log \left(\frac{3}{8} e^{-\frac{(2 x+5)^2 \left(x-x^2\right)}{16 x^2}}\right)",1,"-25/(16*x) + x + x^2/4","A",1
4717,1,86,31,0.1758921,"\int \frac{2 x+e^{e^5} x+25 e^{-2 e^{1+x}} \left(-4 e^{1+3 e^5+x}+e^{1+2 e^5+x} (-24+12 x)+e^{1+e^5+x} \left(-48+48 x-12 x^2\right)+e^{1+x} \left(-32+48 x-24 x^2+4 x^3\right)\right)+5 e^{-e^{1+x}} \left(8-4 x+e^{2 e^5} \left(2-2 e^{1+x} x\right)+e^{1+x} \left(-8 x+8 x^2-2 x^3\right)+e^{e^5} \left(8-2 x+e^{1+x} \left(-8 x+4 x^2\right)\right)\right)}{16+2 e^{3 e^5}+e^{2 e^5} (12-6 x)-24 x+12 x^2-2 x^3+e^{e^5} \left(24-24 x+6 x^2\right)} \, dx","Integrate[(2*x + E^E^5*x + (25*(-4*E^(1 + 3*E^5 + x) + E^(1 + 2*E^5 + x)*(-24 + 12*x) + E^(1 + E^5 + x)*(-48 + 48*x - 12*x^2) + E^(1 + x)*(-32 + 48*x - 24*x^2 + 4*x^3)))/E^(2*E^(1 + x)) + (5*(8 - 4*x + E^(2*E^5)*(2 - 2*E^(1 + x)*x) + E^(1 + x)*(-8*x + 8*x^2 - 2*x^3) + E^E^5*(8 - 2*x + E^(1 + x)*(-8*x + 4*x^2))))/E^E^(1 + x))/(16 + 2*E^(3*E^5) + E^(2*E^5)*(12 - 6*x) - 24*x + 12*x^2 - 2*x^3 + E^E^5*(24 - 24*x + 6*x^2)),x]","\frac{1}{2} \left(\frac{10 e^{-e^{x+1}} x}{-x+e^{e^5}+2}+50 e^{-2 e^{x+1}}-\frac{2+e^{e^5}}{-x+e^{e^5}+2}+\frac{\left(2+e^{e^5}\right)^2}{2 \left(-x+e^{e^5}+2\right)^2}\right)","\left(5 e^{-e^{x+1}}-\frac{x}{2 \left(x-e^{e^5}-2\right)}\right)^2",1,"(50/E^(2*E^(1 + x)) + (2 + E^E^5)^2/(2*(2 + E^E^5 - x)^2) - (2 + E^E^5)/(2 + E^E^5 - x) + (10*x)/(E^E^(1 + x)*(2 + E^E^5 - x)))/2","B",1
4718,1,18,22,0.0624121,"\int \frac{-256-512 x-256 x^2+\left(-64+64 x^2\right) \log \left(x^2\right)}{5 x^2 \log ^3\left(x^2\right)} \, dx","Integrate[(-256 - 512*x - 256*x^2 + (-64 + 64*x^2)*Log[x^2])/(5*x^2*Log[x^2]^3),x]","\frac{64 (x+1)^2}{5 x \log ^2\left(x^2\right)}","\frac{16 (2 x+2)^2}{5 x \log ^2\left(x^2\right)}-5",1,"(64*(1 + x)^2)/(5*x*Log[x^2]^2)","A",1
4719,1,27,28,1.6062104,"\int \frac{-50+185 x-60 x^2-100 x^3}{3 x+14 x^2-7 x^3-10 x^4+e^4 \left(15-5 x-10 x^2\right)+\left(3-x-2 x^2\right) \log (-1+x)+\left(-15+5 x+10 x^2\right) \log (3+2 x)} \, dx","Integrate[(-50 + 185*x - 60*x^2 - 100*x^3)/(3*x + 14*x^2 - 7*x^3 - 10*x^4 + E^4*(15 - 5*x - 10*x^2) + (3 - x - 2*x^2)*Log[-1 + x] + (-15 + 5*x + 10*x^2)*Log[3 + 2*x]),x]","5 \log \left(5 x^2+x+\log (x-1)-5 \log (2 x+3)+5 e^4\right)","5 \log \left(x^2+\frac{1}{5} (x+\log (x-1))-\log (2 x+3)+e^4\right)",1,"5*Log[5*E^4 + x + 5*x^2 + Log[-1 + x] - 5*Log[3 + 2*x]]","A",1
4720,1,19,21,0.0713767,"\int \left(16 x^3+e^{2 x+2 x^3} \left(2+6 x^2\right)-16 x^3 \log (5)+4 x^3 \log ^2(5)+e^{x+x^3} \left(8 x+4 x^2+12 x^4+\left(-4 x-2 x^2-6 x^4\right) \log (5)\right)\right) \, dx","Integrate[16*x^3 + E^(2*x + 2*x^3)*(2 + 6*x^2) - 16*x^3*Log[5] + 4*x^3*Log[5]^2 + E^(x + x^3)*(8*x + 4*x^2 + 12*x^4 + (-4*x - 2*x^2 - 6*x^4)*Log[5]),x]","\left(e^{x^3+x}-x^2 (\log (5)-2)\right)^2","\left(e^{x^3+x}+x (2 x-x \log (5))\right)^2",1,"(E^(x + x^3) - x^2*(-2 + Log[5]))^2","A",1
4721,1,46,26,0.3682911,"\int \frac{-8 x-2 x^2+\left(16+12 x+2 x^2-48 x^3-36 x^4-6 x^5\right) \log (2+x)+\left(8+6 x+x^2-24 x^3-18 x^4-3 x^5\right) \log ^2(2+x)+\left(\left(-16 x^3-8 x^4\right) \log (2+x)+\left(-8 x^3-4 x^4\right) \log ^2(2+x)+\left((16+8 x) \log (2+x)+(8+4 x) \log ^2(2+x)\right) \log \left(\frac{2 x+x \log (2+x)}{\log (2+x)}\right)\right) \log \left(-x^3+\log \left(\frac{2 x+x \log (2+x)}{\log (2+x)}\right)\right)}{\left(-64 x^3-64 x^4-20 x^5-2 x^6\right) \log (2+x)+\left(-32 x^3-32 x^4-10 x^5-x^6\right) \log ^2(2+x)+\left(\left(64+64 x+20 x^2+2 x^3\right) \log (2+x)+\left(32+32 x+10 x^2+x^3\right) \log ^2(2+x)\right) \log \left(\frac{2 x+x \log (2+x)}{\log (2+x)}\right)} \, dx","Integrate[(-8*x - 2*x^2 + (16 + 12*x + 2*x^2 - 48*x^3 - 36*x^4 - 6*x^5)*Log[2 + x] + (8 + 6*x + x^2 - 24*x^3 - 18*x^4 - 3*x^5)*Log[2 + x]^2 + ((-16*x^3 - 8*x^4)*Log[2 + x] + (-8*x^3 - 4*x^4)*Log[2 + x]^2 + ((16 + 8*x)*Log[2 + x] + (8 + 4*x)*Log[2 + x]^2)*Log[(2*x + x*Log[2 + x])/Log[2 + x]])*Log[-x^3 + Log[(2*x + x*Log[2 + x])/Log[2 + x]]])/((-64*x^3 - 64*x^4 - 20*x^5 - 2*x^6)*Log[2 + x] + (-32*x^3 - 32*x^4 - 10*x^5 - x^6)*Log[2 + x]^2 + ((64 + 64*x + 20*x^2 + 2*x^3)*Log[2 + x] + (32 + 32*x + 10*x^2 + x^3)*Log[2 + x]^2)*Log[(2*x + x*Log[2 + x])/Log[2 + x]]),x]","\log \left(x^3-\log \left(x+\frac{2 x}{\log (x+2)}\right)\right)-\frac{4 \log \left(\log \left(x+\frac{2 x}{\log (x+2)}\right)-x^3\right)}{x+4}","\frac{x \log \left(\log \left(x+\frac{2 x}{\log (x+2)}\right)-x^3\right)}{x+4}",1,"Log[x^3 - Log[x + (2*x)/Log[2 + x]]] - (4*Log[-x^3 + Log[x + (2*x)/Log[2 + x]]])/(4 + x)","A",1
4722,1,22,23,0.0208901,"\int \frac{20+5 x-2 x^2+(5-x) \log (5-x)}{-10+2 x} \, dx","Integrate[(20 + 5*x - 2*x^2 + (5 - x)*Log[5 - x])/(-10 + 2*x),x]","\frac{1}{2} \left(-x^2-4 x-x \log (5-x)\right)","\frac{1}{2} (-x-(x (x+\log (5-x)+3))-6)+4",1,"(-4*x - x^2 - x*Log[5 - x])/2","A",1
4723,1,33,26,0.2855801,"\int \frac{-24+e^x (-40-40 x)-38 x-45 x^2-10 x^3}{\left(4+20 e^x+20 x+5 x^2\right) \log ^2\left(\frac{1}{20} e^{x+x^2} \left(4+20 e^x+20 x+5 x^2\right)\right)} \, dx","Integrate[(-24 + E^x*(-40 - 40*x) - 38*x - 45*x^2 - 10*x^3)/((4 + 20*E^x + 20*x + 5*x^2)*Log[(E^(x + x^2)*(4 + 20*E^x + 20*x + 5*x^2))/20]^2),x]","-\frac{1}{\log (20)-\log \left(e^{x^2+x} \left(5 x^2+20 x+20 e^x+4\right)\right)}","\frac{1}{\log \left(e^{x (x+1)} \left(\frac{x^2}{4}+x+e^x+\frac{1}{5}\right)\right)}",1,"-(Log[20] - Log[E^(x + x^2)*(4 + 20*E^x + 20*x + 5*x^2)])^(-1)","A",1
4724,1,16,17,0.0614356,"\int \frac{1}{5} \left(4-e^x x+e^x \left(-2 x-x^2\right) \log (10 x)\right) \, dx","Integrate[(4 - E^x*x + E^x*(-2*x - x^2)*Log[10*x])/5,x]","-\frac{1}{5} x \left(e^x x \log (10 x)-4\right)","\frac{1}{5} x \left(4-e^x x \log (10 x)\right)",1,"-1/5*(x*(-4 + E^x*x*Log[10*x]))","A",1
4725,1,30,26,0.0373964,"\int \frac{-10 e^6 \log (5)+e^x \left(10+e^3 (20-10 x)-5 x\right) \log (5)+e^{2 x} (-10+10 x) \log (5)}{6 x^3} \, dx","Integrate[(-10*E^6*Log[5] + E^x*(10 + E^3*(20 - 10*x) - 5*x)*Log[5] + E^(2*x)*(-10 + 10*x)*Log[5])/(6*x^3),x]","\frac{5 \left(-e^x+e^{2 x}-2 e^{x+3}+e^6\right) \log (5)}{6 x^2}","\frac{5 \left(\left(e^3-e^x\right)^2-e^x\right) \log (5)}{6 x^2}",1,"(5*(E^6 - E^x + E^(2*x) - 2*E^(3 + x))*Log[5])/(6*x^2)","A",1
4726,1,26,34,0.1209554,"\int \frac{e^{\frac{3}{3+\log \left(\frac{9 x-6 x^2+x^3}{4-8 x+4 x^2}\right)}} \left(18-36 x+6 x^2+\left(18-24 x+6 x^2\right) \log \left(\frac{9 x-6 x^2+x^3}{4-8 x+4 x^2}\right)+\left(3-4 x+x^2\right) \log ^2\left(\frac{9 x-6 x^2+x^3}{4-8 x+4 x^2}\right)\right)}{27-36 x+9 x^2+\left(18-24 x+6 x^2\right) \log \left(\frac{9 x-6 x^2+x^3}{4-8 x+4 x^2}\right)+\left(3-4 x+x^2\right) \log ^2\left(\frac{9 x-6 x^2+x^3}{4-8 x+4 x^2}\right)} \, dx","Integrate[(E^(3/(3 + Log[(9*x - 6*x^2 + x^3)/(4 - 8*x + 4*x^2)]))*(18 - 36*x + 6*x^2 + (18 - 24*x + 6*x^2)*Log[(9*x - 6*x^2 + x^3)/(4 - 8*x + 4*x^2)] + (3 - 4*x + x^2)*Log[(9*x - 6*x^2 + x^3)/(4 - 8*x + 4*x^2)]^2))/(27 - 36*x + 9*x^2 + (18 - 24*x + 6*x^2)*Log[(9*x - 6*x^2 + x^3)/(4 - 8*x + 4*x^2)] + (3 - 4*x + x^2)*Log[(9*x - 6*x^2 + x^3)/(4 - 8*x + 4*x^2)]^2),x]","x e^{\frac{3}{\log \left(\frac{(x-3)^2 x}{4 (x-1)^2}\right)+3}}","x e^{\frac{3}{\log \left(\frac{(3-x)^2 x^3}{4 \left(x^2-x\right)^2}\right)+3}}",1,"E^(3/(3 + Log[((-3 + x)^2*x)/(4*(-1 + x)^2)]))*x","A",1
4727,1,42,26,0.1459386,"\int \frac{3 x+2 x^2+\left(4 e^{2 e}+e^e \left(9 x+6 x^2\right)\right) \log (x)+e^{2 e} \left(-2+9 x+6 x^2\right) \log ^2(x)+e^{3 e} \left(-2+3 x+2 x^2\right) \log ^3(x)}{2 x^2+6 e^e x^2 \log (x)+6 e^{2 e} x^2 \log ^2(x)+2 e^{3 e} x^2 \log ^3(x)} \, dx","Integrate[(3*x + 2*x^2 + (4*E^(2*E) + E^E*(9*x + 6*x^2))*Log[x] + E^(2*E)*(-2 + 9*x + 6*x^2)*Log[x]^2 + E^(3*E)*(-2 + 3*x + 2*x^2)*Log[x]^3)/(2*x^2 + 6*E^E*x^2*Log[x] + 6*E^(2*E)*x^2*Log[x]^2 + 2*E^(3*E)*x^2*Log[x]^3),x]","\frac{1}{2} \left(3 \log (x)+2 \left(x-\frac{2}{x+e^e x \log (x)}+\frac{\frac{1}{\left(e^e \log (x)+1\right)^2}+1}{x}\right)\right)","x+\frac{x}{\left(x+\frac{e^{-e} x}{\log (x)}\right)^2}+\frac{3 \log (x)}{2}+2",1,"(3*Log[x] + 2*(x - 2/(x + E^E*x*Log[x]) + (1 + (1 + E^E*Log[x])^(-2))/x))/2","A",1
4728,1,20,23,0.0224431,"\int \frac{2+e^{e^{x^2}} \left(-2+e^{x^2} \left(-16 x-4 x^2\right)\right)}{e} \, dx","Integrate[(2 + E^E^x^2*(-2 + E^x^2*(-16*x - 4*x^2)))/E,x]","-\frac{2 \left(e^{e^{x^2}} (x+4)-x\right)}{e}","-\frac{2 \left(e^{e^{x^2}} (x+4)-x+e^3\right)}{e}",1,"(-2*(-x + E^E^x^2*(4 + x)))/E","A",1
4729,1,53,27,1.0014492,"\int \frac{-2 x^2+60 x^3+e^{\frac{-1-3 x+2 x^2}{2 x}} \left(5+10 x^2\right)}{10 e^{\frac{-1-3 x+2 x^2}{2 x}} x^2-2 x^3+30 x^4} \, dx","Integrate[(-2*x^2 + 60*x^3 + E^((-1 - 3*x + 2*x^2)/(2*x))*(5 + 10*x^2))/(10*E^((-1 - 3*x + 2*x^2)/(2*x))*x^2 - 2*x^3 + 30*x^4),x]","\frac{1}{2} \left(2 \log \left(15 e^{\frac{1}{2 x}+\frac{3}{2}} x^2-e^{\frac{1}{2 x}+\frac{3}{2}} x+5 e^x\right)-\frac{1}{x}\right)","\log \left(3 x^2-\frac{x}{5}+e^{x-\frac{x+1}{2 x}-1}\right)",1,"(-x^(-1) + 2*Log[5*E^x - E^(3/2 + 1/(2*x))*x + 15*E^(3/2 + 1/(2*x))*x^2])/2","A",1
4730,1,34,29,0.0353853,"\int \frac{8-5 x^2-e x^2+4 e^{-e^2} x^2-2 x^3}{2 x^2} \, dx","Integrate[(8 - 5*x^2 - E*x^2 + (4*x^2)/E^E^2 - 2*x^3)/(2*x^2),x]","-\frac{x^2}{2}+2 e^{-e^2} x-\frac{e x}{2}-\frac{5 x}{2}-\frac{4}{x}","-\left(\left(\frac{x}{2}+2\right) \left(x-4 e^{-e^2}+e+1\right)\right)-\frac{4}{x}+5",1,"-4/x - (5*x)/2 - (E*x)/2 + (2*x)/E^E^2 - x^2/2","A",1
4731,1,22,22,0.2011701,"\int \frac{-37 x^2+e^{x^2} \left(-1+37 x+2 x^2\right)}{e^{x^2} x-x^2+\left(e^{x^2} x-x^2\right) \log \left(\frac{e^{37 x+x^2}-e^{37 x} x}{x}\right)} \, dx","Integrate[(-37*x^2 + E^x^2*(-1 + 37*x + 2*x^2))/(E^x^2*x - x^2 + (E^x^2*x - x^2)*Log[(E^(37*x + x^2) - E^(37*x)*x)/x]),x]","\log \left(\log \left(\frac{e^{37 x} \left(e^{x^2}-x\right)}{x}\right)+1\right)","\log \left(\log \left(\frac{e^{37 x} \left(e^{x^2}-x\right)}{x}\right)+1\right)",1,"Log[1 + Log[(E^(37*x)*(E^x^2 - x))/x]]","A",1
4732,1,27,21,0.0540628,"\int \frac{-3 x^4 \log ^2(4)-6 x^4 \log ^2(4) \log (x)+\left(-96+18 x^4 \log ^2(4)\right) \log ^2(x)}{x^7 \log ^2(4) \log ^2(x)} \, dx","Integrate[(-3*x^4*Log[4]^2 - 6*x^4*Log[4]^2*Log[x] + (-96 + 18*x^4*Log[4]^2)*Log[x]^2)/(x^7*Log[4]^2*Log[x]^2),x]","3 \left(\frac{16}{3 x^6 \log ^2(4)}-\frac{3}{x^2}+\frac{1}{x^2 \log (x)}\right)","\frac{\frac{16}{x^4 \log ^2(4)}+\frac{3}{\log (x)}-9}{x^2}",1,"3*(-3/x^2 + 16/(3*x^6*Log[4]^2) + 1/(x^2*Log[x]))","A",1
4733,1,21,23,0.2137301,"\int \frac{8 x+e^{x^2} \left(8+16 x-16 x^2-16 x^3\right)+(8+16 x) \log (x)}{x+x^2+e^{x^2} \left(x+x^2\right)+\left(x+x^2\right) \log (x)} \, dx","Integrate[(8*x + E^x^2*(8 + 16*x - 16*x^2 - 16*x^3) + (8 + 16*x)*Log[x])/(x + x^2 + E^x^2*(x + x^2) + (x + x^2)*Log[x]),x]","8 \left(-\log \left(e^{x^2}+\log (x)+1\right)+\log (x)+\log (x+1)\right)","4 \log \left(\frac{625 \left(x^2+x\right)^2}{\left(e^{x^2}+\log (x)+1\right)^2}\right)",1,"8*(Log[x] + Log[1 + x] - Log[1 + E^x^2 + Log[x]])","A",1
4734,1,27,28,0.0314944,"\int \frac{80 x^2-10 x^4+e^4 \left(-64+96 x-180 x^2+204 x^3-105 x^4+24 x^5-2 x^6\right)}{e^4 \left(128 x^2-192 x^3+104 x^4-24 x^5+2 x^6\right)} \, dx","Integrate[(80*x^2 - 10*x^4 + E^4*(-64 + 96*x - 180*x^2 + 204*x^3 - 105*x^4 + 24*x^5 - 2*x^6))/(E^4*(128*x^2 - 192*x^3 + 104*x^4 - 24*x^5 + 2*x^6)),x]","\frac{5 x}{e^4 \left(x^2-6 x+8\right)}-x+\frac{1}{2 x}","\frac{5 x}{e^4 (x-4) (x-2)}-x+\frac{1}{2 x}-4",1,"1/(2*x) - x + (5*x)/(E^4*(8 - 6*x + x^2))","A",1
4735,1,31,30,0.1463346,"\int \frac{-36 x-x^4+e^x \left(36+x^3\right)+\left(-e^x x^3+x^4\right) \log (x)+\left(2 x^5-2 e^x x^5+\left(-x^5+e^x x^5\right) \log \left(3 e^{\frac{9}{x^4}}\right)+\left(x^4-e^x x^4\right) \log (x)\right) \log \left(\frac{-2 x+x \log \left(3 e^{\frac{9}{x^4}}\right)-\log (x)}{x}\right)}{-2 e^{2 x} x^5+4 e^x x^6-2 x^7+\left(e^{2 x} x^5-2 e^x x^6+x^7\right) \log \left(3 e^{\frac{9}{x^4}}\right)+\left(-e^{2 x} x^4+2 e^x x^5-x^6\right) \log (x)} \, dx","Integrate[(-36*x - x^4 + E^x*(36 + x^3) + (-(E^x*x^3) + x^4)*Log[x] + (2*x^5 - 2*E^x*x^5 + (-x^5 + E^x*x^5)*Log[3*E^(9/x^4)] + (x^4 - E^x*x^4)*Log[x])*Log[(-2*x + x*Log[3*E^(9/x^4)] - Log[x])/x])/(-2*E^(2*x)*x^5 + 4*E^x*x^6 - 2*x^7 + (E^(2*x)*x^5 - 2*E^x*x^6 + x^7)*Log[3*E^(9/x^4)] + (-(E^(2*x)*x^4) + 2*E^x*x^5 - x^6)*Log[x]),x]","-\frac{\log \left(\log \left(3 e^{\frac{9}{x^4}}\right)-\frac{\log (x)}{x}-2\right)}{e^x-x}","\frac{\log \left(\log \left(3 e^{\frac{9}{x^4}}\right)-\frac{\log (x)}{x}-2\right)}{x-e^x}",1,"-(Log[-2 + Log[3*E^(9/x^4)] - Log[x]/x]/(E^x - x))","A",1
4736,1,312,18,0.2133495,"\int \frac{-972-648 x+\left(3888+3564 x+756 x^2\right) \log (3)+\left(-5832-6804 x-2592 x^2-324 x^3\right) \log ^2(3)+\left(3888+5508 x+2916 x^2+684 x^3+60 x^4\right) \log ^3(3)+\left(-972-1620 x-1080 x^2-360 x^3-60 x^4-4 x^5\right) \log ^4(3)}{243 x^5+405 x^6+270 x^7+90 x^8+15 x^9+x^{10}} \, dx","Integrate[(-972 - 648*x + (3888 + 3564*x + 756*x^2)*Log[3] + (-5832 - 6804*x - 2592*x^2 - 324*x^3)*Log[3]^2 + (3888 + 5508*x + 2916*x^2 + 684*x^3 + 60*x^4)*Log[3]^3 + (-972 - 1620*x - 1080*x^2 - 360*x^3 - 60*x^4 - 4*x^5)*Log[3]^4)/(243*x^5 + 405*x^6 + 270*x^7 + 90*x^8 + 15*x^9 + x^10),x]","\frac{4 x^7 \log (3) \left(27 \log ^3(3)+15 \log (3) \left(9+2 \log ^2(27)-9 \log (27)\right)-27 \log ^2(3) (\log (729)-5)-5 (\log (27)-3)^2 \log (27)\right)+42 x^6 \log (3) \left(27 \log ^3(3)+15 \log (3) \left(9+2 \log ^2(27)-9 \log (27)\right)-27 \log ^2(3) (\log (729)-5)-5 (\log (27)-3)^2 \log (27)\right)+156 x^5 \log (3) \left(27 \log ^3(3)+15 \log (3) \left(9+2 \log ^2(27)-9 \log (27)\right)-27 \log ^2(3) (\log (729)-5)-5 (\log (27)-3)^2 \log (27)\right)+9 x^4 \log (3) \left(702 \log ^3(3)+375 \log (3) \left(9+2 \log ^2(27)-9 \log (27)\right)-675 \log ^2(3) (\log (729)-5)-125 (\log (27)-3)^2 \log (27)\right)+324 x^3 \log (3) \left(9 \log ^3(3)-9 \log ^2(3) (\log (27)-2)+3 \log (3) \left(9+2 \log ^2(27)-9 \log (27)\right)-(\log (27)-3)^2 \log (27)\right)+486 x^2 \log (3) (\log (27)-3) \left(9 \log ^2(3)-\log (19683)\right)+2916 x (\log (3)-1) \log (3) (\log (27)-3)^2+729 (\log (3)-1) (\log (27)-3)^3}{243 x^4 (x+3)^4}","\frac{\left(\frac{3}{x+3}-\log (3)\right)^4}{x^4}",1,"(2916*x*(-1 + Log[3])*Log[3]*(-3 + Log[27])^2 + 729*(-1 + Log[3])*(-3 + Log[27])^3 + 324*x^3*Log[3]*(9*Log[3]^3 - 9*Log[3]^2*(-2 + Log[27]) - (-3 + Log[27])^2*Log[27] + 3*Log[3]*(9 - 9*Log[27] + 2*Log[27]^2)) + 9*x^4*Log[3]*(702*Log[3]^3 - 125*(-3 + Log[27])^2*Log[27] + 375*Log[3]*(9 - 9*Log[27] + 2*Log[27]^2) - 675*Log[3]^2*(-5 + Log[729])) + 156*x^5*Log[3]*(27*Log[3]^3 - 5*(-3 + Log[27])^2*Log[27] + 15*Log[3]*(9 - 9*Log[27] + 2*Log[27]^2) - 27*Log[3]^2*(-5 + Log[729])) + 42*x^6*Log[3]*(27*Log[3]^3 - 5*(-3 + Log[27])^2*Log[27] + 15*Log[3]*(9 - 9*Log[27] + 2*Log[27]^2) - 27*Log[3]^2*(-5 + Log[729])) + 4*x^7*Log[3]*(27*Log[3]^3 - 5*(-3 + Log[27])^2*Log[27] + 15*Log[3]*(9 - 9*Log[27] + 2*Log[27]^2) - 27*Log[3]^2*(-5 + Log[729])) + 486*x^2*Log[3]*(-3 + Log[27])*(9*Log[3]^2 - Log[19683]))/(243*x^4*(3 + x)^4)","B",0
4737,1,26,27,0.0091374,"\int \frac{-153600+\left(320 x+800 x^2\right) \log (3)-x^4 \log ^2(3)}{153600-800 x^2 \log (3)+x^4 \log ^2(3)} \, dx","Integrate[(-153600 + (320*x + 800*x^2)*Log[3] - x^4*Log[3]^2)/(153600 - 800*x^2*Log[3] + x^4*Log[3]^2),x]","-\log \left(320-x^2 \log (3)\right)+\log \left(480-x^2 \log (3)\right)-x","\log \left(5 \left(1-\frac{x}{3 \left(x-\frac{320}{x \log (3)}\right)}\right)\right)-x",1,"-x - Log[320 - x^2*Log[3]] + Log[480 - x^2*Log[3]]","A",1
4738,1,42,30,0.083025,"\int \frac{5-25 x-108 x^2-180 x^3+36 x^2 \log (x)+\left(15-11 x-60 x^2+(-5+12 x) \log (x)\right) \log (3+5 x-\log (x))+(-3-5 x+\log (x)) \log ^2(3+5 x-\log (x))}{360 x^2+168 x^3-720 x^4+\left(-120 x^2+144 x^3\right) \log (x)+\left(60 x-44 x^2-240 x^3+\left(-20 x+48 x^2\right) \log (x)\right) \log (3+5 x-\log (x))+\left(-12 x-20 x^2+4 x \log (x)\right) \log ^2(3+5 x-\log (x))} \, dx","Integrate[(5 - 25*x - 108*x^2 - 180*x^3 + 36*x^2*Log[x] + (15 - 11*x - 60*x^2 + (-5 + 12*x)*Log[x])*Log[3 + 5*x - Log[x]] + (-3 - 5*x + Log[x])*Log[3 + 5*x - Log[x]]^2)/(360*x^2 + 168*x^3 - 720*x^4 + (-120*x^2 + 144*x^3)*Log[x] + (60*x - 44*x^2 - 240*x^3 + (-20*x + 48*x^2)*Log[x])*Log[3 + 5*x - Log[x]] + (-12*x - 20*x^2 + 4*x*Log[x])*Log[3 + 5*x - Log[x]]^2),x]","\frac{1}{4} (\log (x)+\log (-6 x-\log (5 x-\log (x)+3)+5)-\log (6 x+\log (5 x-\log (x)+3)))","\frac{1}{4} \log \left(x-\frac{x}{x+\frac{1}{5} (x+\log (5 x-\log (x)+3))}\right)",1,"(Log[x] + Log[5 - 6*x - Log[3 + 5*x - Log[x]]] - Log[6*x + Log[3 + 5*x - Log[x]]])/4","A",1
4739,1,23,25,0.68741,"\int \frac{-16 x^2-16 e^2 x^2+16 x^3+e^x \left(16 x-16 x^3+e^2 \left(-32+16 x^2\right)\right)+e^x \left(e^2 (16-16 x)-16 x+16 x^2\right) \log \left(e^2-x\right)}{e^{2 x} \left(e^2-x\right)+e^2 x^2-x^3+e^x \left(2 e^2 x-2 x^2\right)} \, dx","Integrate[(-16*x^2 - 16*E^2*x^2 + 16*x^3 + E^x*(16*x - 16*x^3 + E^2*(-32 + 16*x^2)) + E^x*(E^2*(16 - 16*x) - 16*x + 16*x^2)*Log[E^2 - x])/(E^(2*x)*(E^2 - x) + E^2*x^2 - x^3 + E^x*(2*E^2*x - 2*x^2)),x]","-\frac{16 x \left(x-\log \left(e^2-x\right)+2\right)}{x+e^x}","\frac{16 x \left(-x+\log \left(e^2-x\right)-2\right)}{x+e^x}+3",1,"(-16*x*(2 + x - Log[E^2 - x]))/(E^x + x)","A",1
4740,1,55,31,3.7060605,"\int \frac{\exp \left(\frac{125 x^2+25 e^x x^2 (i \pi +\log (3))+25 x^3 (i \pi +\log (3))-25 x^2 (i \pi +\log (3)) \log (x)}{\log (2)}\right) \left(250 x+e^x \left(50 x+25 x^2\right) (i \pi +\log (3))+\left(-25 x+75 x^2\right) (i \pi +\log (3))-50 x (i \pi +\log (3)) \log (x)\right)}{\log (2)} \, dx","Integrate[(E^((125*x^2 + 25*E^x*x^2*(I*Pi + Log[3]) + 25*x^3*(I*Pi + Log[3]) - 25*x^2*(I*Pi + Log[3])*Log[x])/Log[2])*(250*x + E^x*(50*x + 25*x^2)*(I*Pi + Log[3]) + (-25*x + 75*x^2)*(I*Pi + Log[3]) - 50*x*(I*Pi + Log[3])*Log[x]))/Log[2],x]","x^{-\frac{25 x^2 (\log (3)+i \pi )}{\log (2)}} \exp \left(\frac{25 x^2 \left(i \pi  x+x \log (3)+e^x (\log (3)+i \pi )+5\right)}{\log (2)}\right)","\exp \left(\frac{25 x^2 \left(5+(\log (3)+i \pi ) \left(x+e^x-\log (x)\right)\right)}{\log (2)}\right)",1,"E^((25*x^2*(5 + I*Pi*x + x*Log[3] + E^x*(I*Pi + Log[3])))/Log[2])/x^((25*x^2*(I*Pi + Log[3]))/Log[2])","A",1
4741,1,31,31,0.1132369,"\int \frac{-2 x-2 x^2+e^x (2+2 x)+e^x (-2-2 x) \log \left(\frac{1+x}{5}\right)+\log \left(\frac{x^2}{3}\right) \left(-2 x-2 x^2+e^x \left(1+x+x^2\right)+e^x \left(-1-2 x-x^2\right) \log \left(\frac{1+x}{5}\right)\right) \log \left(\log \left(\frac{x^2}{3}\right)\right)}{(1+x) \log \left(\frac{x^2}{3}\right)} \, dx","Integrate[(-2*x - 2*x^2 + E^x*(2 + 2*x) + E^x*(-2 - 2*x)*Log[(1 + x)/5] + Log[x^2/3]*(-2*x - 2*x^2 + E^x*(1 + x + x^2) + E^x*(-1 - 2*x - x^2)*Log[(1 + x)/5])*Log[Log[x^2/3]])/((1 + x)*Log[x^2/3]),x]","-x \left(x-e^x+e^x \log \left(\frac{x+1}{5}\right)\right) \log \left(\log \left(\frac{x^2}{3}\right)\right)","x \left(-x+e^x-e^x \log \left(\frac{x+1}{5}\right)\right) \log \left(\log \left(\frac{x^2}{3}\right)\right)",1,"-(x*(-E^x + x + E^x*Log[(1 + x)/5])*Log[Log[x^2/3]])","A",1
4742,1,14,14,0.0081951,"\int -\frac{80 \log \left(x^2\right)}{x+4 x \log ^2\left(x^2\right)+4 x \log ^4\left(x^2\right)} \, dx","Integrate[(-80*Log[x^2])/(x + 4*x*Log[x^2]^2 + 4*x*Log[x^2]^4),x]","\frac{10}{2 \log ^2\left(x^2\right)+1}","\frac{5}{\log ^2\left(x^2\right)+\frac{1}{2}}",1,"10/(1 + 2*Log[x^2]^2)","A",1
4743,1,26,31,0.6574496,"\int \frac{e^{\frac{4+x-x^2}{x}} (-4-x)-x^3}{\left(e^{\frac{4+x-x^2}{x}} x^2-x^3\right) \log \left(\frac{e^{e^3+x} \left(-e^{\frac{4+x-x^2}{x}}+x\right)}{x}\right)} \, dx","Integrate[(E^((4 + x - x^2)/x)*(-4 - x) - x^3)/((E^((4 + x - x^2)/x)*x^2 - x^3)*Log[(E^(E^3 + x)*(-E^((4 + x - x^2)/x) + x))/x]),x]","\log \left(\log \left(e^{e^3} \left(e^x-\frac{e^{\frac{4}{x}+1}}{x}\right)\right)\right)","\log \left(\log \left(\frac{e^{x+e^3} \left(x-e^{\frac{-x^2+x+4}{x}}\right)}{x}\right)\right)",1,"Log[Log[E^E^3*(E^x - E^(1 + 4/x)/x)]]","A",1
4744,1,65,28,0.1329973,"\int \frac{\frac{5 \left(12-6 e^x-18 x\right)}{e^2}+\frac{25 \left(-200+297 x+18 x^2+e^x (109+6 x)\right)}{e^4}+\frac{25 \left(8-4 e^x-12 x\right) \log \left(e^x+x\right)}{e^4}}{9 e^x+9 x+\frac{5 \left(e^x (-300-18 x)-300 x-18 x^2\right)}{e^2}+\frac{25 \left(2500 x+309 x^2+9 x^3+e^x \left(2500+309 x+9 x^2\right)\right)}{e^4}+\left(\frac{5 \left(12 e^x+12 x\right)}{e^2}+\frac{25 \left(e^x (-200-12 x)-200 x-12 x^2\right)}{e^4}\right) \log \left(e^x+x\right)+\frac{25 \left(4 e^x+4 x\right) \log ^2\left(e^x+x\right)}{e^4}} \, dx","Integrate[((5*(12 - 6*E^x - 18*x))/E^2 + (25*(-200 + 297*x + 18*x^2 + E^x*(109 + 6*x)))/E^4 + (25*(8 - 4*E^x - 12*x)*Log[E^x + x])/E^4)/(9*E^x + 9*x + (5*(E^x*(-300 - 18*x) - 300*x - 18*x^2))/E^2 + (25*(2500*x + 309*x^2 + 9*x^3 + E^x*(2500 + 309*x + 9*x^2)))/E^4 + ((5*(12*E^x + 12*x))/E^2 + (25*(E^x*(-200 - 12*x) - 200*x - 12*x^2))/E^4)*Log[E^x + x] + (25*(4*E^x + 4*x)*Log[E^x + x]^2)/E^4),x]","\log \left(225 x^2-90 e^2 x+7725 x+100 \log ^2\left(x+e^x\right)-300 x \log \left(x+e^x\right)+60 e^2 \log \left(x+e^x\right)-5000 \log \left(x+e^x\right)+9 e^4-1500 e^2+62500\right)","\log \left(x+\left(x+\frac{2}{3} \left(25-\log \left(x+e^x\right)\right)-\frac{e^2}{5}\right)^2\right)",1,"Log[62500 - 1500*E^2 + 9*E^4 + 7725*x - 90*E^2*x + 225*x^2 - 5000*Log[E^x + x] + 60*E^2*Log[E^x + x] - 300*x*Log[E^x + x] + 100*Log[E^x + x]^2]","B",1
4745,1,25,22,0.0261468,"\int \left(e^{4+x^2} \left(-5-10 x^2\right)+e^{2 x^2} \left(5+20 x^2\right)+5 \log (3)\right) \, dx","Integrate[E^(4 + x^2)*(-5 - 10*x^2) + E^(2*x^2)*(5 + 20*x^2) + 5*Log[3],x]","5 e^{2 x^2} x-5 e^{x^2+4} x+x \log (243)","5 x \left(e^{2 x^2}-e^{x^2+4}+\log (3)\right)",1,"5*E^(2*x^2)*x - 5*E^(4 + x^2)*x + x*Log[243]","A",1
4746,1,22,24,0.1415659,"\int \frac{131072+\left(-65536 x+4 x^3+2 x^4\right) \log (x)+\left(-65536-12 x^2-6 x^3\right) \log (x) \log (\log (x))+\left(12 x+6 x^2\right) \log (x) \log ^2(\log (x))+(-4-2 x) \log (x) \log ^3(\log (x))}{-\sqrt[3]{e} x^3 \log (x)+3 \sqrt[3]{e} x^2 \log (x) \log (\log (x))-3 \sqrt[3]{e} x \log (x) \log ^2(\log (x))+\sqrt[3]{e} \log (x) \log ^3(\log (x))} \, dx","Integrate[(131072 + (-65536*x + 4*x^3 + 2*x^4)*Log[x] + (-65536 - 12*x^2 - 6*x^3)*Log[x]*Log[Log[x]] + (12*x + 6*x^2)*Log[x]*Log[Log[x]]^2 + (-4 - 2*x)*Log[x]*Log[Log[x]]^3)/(-(E^(1/3)*x^3*Log[x]) + 3*E^(1/3)*x^2*Log[x]*Log[Log[x]] - 3*E^(1/3)*x*Log[x]*Log[Log[x]]^2 + E^(1/3)*Log[x]*Log[Log[x]]^3),x]","-\frac{x \left(x+\frac{65536}{(x-\log (\log (x)))^2}+4\right)}{\sqrt[3]{e}}","2-\frac{x \left(x+\frac{65536}{(\log (\log (x))-x)^2}+4\right)}{\sqrt[3]{e}}",1,"-((x*(4 + x + 65536/(x - Log[Log[x]])^2))/E^(1/3))","A",1
4747,1,20,20,1.8388533,"\int \frac{6-3 x-3 \log \left(\frac{e^x}{27 x^2}\right)}{10 x^2 \log ^2\left(\frac{e^x}{27 x^2}\right)} \, dx","Integrate[(6 - 3*x - 3*Log[E^x/(27*x^2)])/(10*x^2*Log[E^x/(27*x^2)]^2),x]","\frac{3}{10 x \log \left(\frac{e^x}{27 x^2}\right)}","\frac{3}{10 x \log \left(\frac{e^x}{27 x^2}\right)}",1,"3/(10*x*Log[E^x/(27*x^2)])","A",1
4748,1,17,13,0.0011852,"\int \frac{1}{2} \left(-6+9 x+2 \log ^2(16)\right) \, dx","Integrate[(-6 + 9*x + 2*Log[16]^2)/2,x]","\frac{9 x^2}{4}-3 x+x \log ^2(16)","x \left(\frac{9 x}{4}-3+\log ^2(16)\right)",1,"-3*x + (9*x^2)/4 + x*Log[16]^2","A",1
4749,1,25,27,0.4189694,"\int \left(2 x+e^{e^{-x+x^2+8 x^7+16 x^{12}}-x} \left(1-x+e^{-x+x^2+8 x^7+16 x^{12}} \left(-x+2 x^2+56 x^7+192 x^{12}\right)\right)\right) \, dx","Integrate[2*x + E^(E^(-x + x^2 + 8*x^7 + 16*x^12) - x)*(1 - x + E^(-x + x^2 + 8*x^7 + 16*x^12)*(-x + 2*x^2 + 56*x^7 + 192*x^12)),x]","x \left(e^{e^{\left(4 x^6+x\right)^2-x}-x}+x\right)","x \left(e^{e^{\left(4 x^6+x\right)^2-x}-x}+x\right)-4",1,"x*(E^(E^(-x + (x + 4*x^6)^2) - x) + x)","A",1
4750,0,0,24,1.4555097,"\int \frac{-2 e^{679} x^2 \log (2)+2 x \log (2) \log (x)+(-2 \log (2)+2 \log (2) \log (x)) \log \left(\frac{e^{679} x-\log (x)}{x}\right)+\left(e^{679} x \log (2)-\log (2) \log (x)\right) \log ^2\left(\frac{e^{679} x-\log (x)}{x}\right)}{-e^{679} x+\log (x)} \, dx","Integrate[(-2*E^679*x^2*Log[2] + 2*x*Log[2]*Log[x] + (-2*Log[2] + 2*Log[2]*Log[x])*Log[(E^679*x - Log[x])/x] + (E^679*x*Log[2] - Log[2]*Log[x])*Log[(E^679*x - Log[x])/x]^2)/(-(E^679*x) + Log[x]),x]","\int \frac{-2 e^{679} x^2 \log (2)+2 x \log (2) \log (x)+(-2 \log (2)+2 \log (2) \log (x)) \log \left(\frac{e^{679} x-\log (x)}{x}\right)+\left(e^{679} x \log (2)-\log (2) \log (x)\right) \log ^2\left(\frac{e^{679} x-\log (x)}{x}\right)}{-e^{679} x+\log (x)} \, dx","x \log (2) \left(x-\log ^2\left(e^{679}-\frac{\log (x)}{x}\right)\right)-3",1,"Integrate[(-2*E^679*x^2*Log[2] + 2*x*Log[2]*Log[x] + (-2*Log[2] + 2*Log[2]*Log[x])*Log[(E^679*x - Log[x])/x] + (E^679*x*Log[2] - Log[2]*Log[x])*Log[(E^679*x - Log[x])/x]^2)/(-(E^679*x) + Log[x]), x]","F",-1
4751,1,4,6,0.0002428,"\int \frac{2}{x} \, dx","Integrate[2/x,x]","2 \log (x)","\log \left(36 x^2\right)",1,"2*Log[x]","A",1
4752,1,25,24,2.1935998,"\int \frac{-2 e x^8+2 e^x x^8+2 x^9-2 x^8 \log (x)+\left(x^7-8 x^8-9 x^9+e \left(8 x^7+8 x^8\right)+e^x \left(-8 x^7-9 x^8-x^9\right)+\left(8 x^7+8 x^8\right) \log (x)\right) \log (2+2 x)}{(1+x) \log ^3(2+2 x)} \, dx","Integrate[(-2*E*x^8 + 2*E^x*x^8 + 2*x^9 - 2*x^8*Log[x] + (x^7 - 8*x^8 - 9*x^9 + E*(8*x^7 + 8*x^8) + E^x*(-8*x^7 - 9*x^8 - x^9) + (8*x^7 + 8*x^8)*Log[x])*Log[2 + 2*x])/((1 + x)*Log[2 + 2*x]^3),x]","-\frac{x^8 \left(x+e^x-\log (x)-e\right)}{\log ^2(2 (x+1))}","\frac{x^8 \left(-x-e^x+\log (x)+e\right)}{\log ^2(2 (x+1))}",1,"-((x^8*(-E + E^x + x - Log[x]))/Log[2*(1 + x)]^2)","A",1
4753,1,61,27,1.6512319,"\int \frac{e^{\frac{2 (12-3 \log (\log (4)))}{9+4 x}} \left(-162-240 x-32 x^2+24 x \log (\log (4))\right)+e^{\frac{12-3 \log (\log (4))}{9+4 x}} \left(-486 x-720 x^2-96 x^3+72 x^2 \log (\log (4))\right)}{81 x^3+72 x^4+16 x^5} \, dx","Integrate[(E^((2*(12 - 3*Log[Log[4]]))/(9 + 4*x))*(-162 - 240*x - 32*x^2 + 24*x*Log[Log[4]]) + E^((12 - 3*Log[Log[4]])/(9 + 4*x))*(-486*x - 720*x^2 - 96*x^3 + 72*x^2*Log[Log[4]]))/(81*x^3 + 72*x^4 + 16*x^5),x]","-2 \left(-\frac{e^{\frac{24}{4 x+9}} \log ^{-\frac{6}{4 x+9}}(4)}{2 x^2}-\frac{3 e^{\frac{12}{4 x+9}} \log ^{-\frac{3}{4 x+9}}(4)}{x}\right)","\left(\frac{e^{\frac{4-\log (\log (4))}{\frac{4 x}{3}+3}}}{x}+3\right)^2",1,"-2*(-1/2*E^(24/(9 + 4*x))/(x^2*Log[4]^(6/(9 + 4*x))) - (3*E^(12/(9 + 4*x)))/(x*Log[4]^(3/(9 + 4*x))))","B",1
4754,1,25,25,4.7109728,"\int \frac{\left(\frac{e^x}{2+e^x+x}\right)^{\frac{2 e^{-3+x^2}}{x}} \left(e^{-3+x^2} \left(2 x+2 x^2\right)+e^{-3+x^2} \left(-4-2 x+8 x^2+4 x^3+e^x \left(-2+4 x^2\right)\right) \log \left(\frac{e^x}{2+e^x+x}\right)\right)}{2 x^2+e^x x^2+x^3} \, dx","Integrate[((E^x/(2 + E^x + x))^((2*E^(-3 + x^2))/x)*(E^(-3 + x^2)*(2*x + 2*x^2) + E^(-3 + x^2)*(-4 - 2*x + 8*x^2 + 4*x^3 + E^x*(-2 + 4*x^2))*Log[E^x/(2 + E^x + x)]))/(2*x^2 + E^x*x^2 + x^3),x]","\left(\frac{e^x}{x+e^x+2}\right)^{\frac{2 e^{x^2-3}}{x}}","\left(\frac{e^x}{x+e^x+2}\right)^{\frac{2 e^{x^2-3}}{x}}",1,"(E^x/(2 + E^x + x))^((2*E^(-3 + x^2))/x)","A",1
4755,1,23,19,0.040665,"\int \frac{-3 x^2-9 x^2 \log \left(\frac{75}{x}\right)+4 x^3 \log ^2\left(\frac{75}{x}\right)}{5 \log ^2\left(\frac{75}{x}\right)} \, dx","Integrate[(-3*x^2 - 9*x^2*Log[75/x] + 4*x^3*Log[75/x]^2)/(5*Log[75/x]^2),x]","\frac{x^4}{5}-\frac{3 x^3}{5 \log \left(\frac{75}{x}\right)}","\frac{1}{5} x^3 \left(x-\frac{3}{\log \left(\frac{75}{x}\right)}\right)",1,"x^4/5 - (3*x^3)/(5*Log[75/x])","A",1
4756,1,17,18,0.0080939,"\int \frac{36+21 x+2 x^2+e (12+3 x)}{9 x+3 e x+2 x^2} \, dx","Integrate[(36 + 21*x + 2*x^2 + E*(12 + 3*x))/(9*x + 3*E*x + 2*x^2),x]","x+4 \log (x)+2 \log (2 x+3 e+9)","\log \left(\left(\frac{2 x}{3}+e+3\right)^2 x^4\right)+x+7",1,"x + 4*Log[x] + 2*Log[9 + 3*E + 2*x]","A",1
4757,1,14,24,0.0000805,"\int \left(-1+e^{e^5}+2 x\right) \, dx","Integrate[-1 + E^E^5 + 2*x,x]","x^2+e^{e^5} x-x","x^2+\left(-x+e^{e^5}-2\right) x+\left(x+\frac{1}{2}\right)^2-2",1,"-x + E^E^5*x + x^2","A",1
4758,1,37,28,0.1333297,"\int \frac{-1485 x-255 x^2+188 x^3-25 x^4+x^5+\left(4374-2214 x-330 x^2+211 x^3-26 x^4+x^5+\left(-2187+162 x^2-24 x^3+x^4\right) \log \left(\frac{5}{3+x}\right)\right) \log \left(\frac{162-118 x+20 x^2-x^3+\left(-81+18 x-x^2\right) \log \left(\frac{5}{3+x}\right)}{81-18 x+x^2}\right)}{4374-2214 x-330 x^2+211 x^3-26 x^4+x^5+\left(-2187+162 x^2-24 x^3+x^4\right) \log \left(\frac{5}{3+x}\right)} \, dx","Integrate[(-1485*x - 255*x^2 + 188*x^3 - 25*x^4 + x^5 + (4374 - 2214*x - 330*x^2 + 211*x^3 - 26*x^4 + x^5 + (-2187 + 162*x^2 - 24*x^3 + x^4)*Log[5/(3 + x)])*Log[(162 - 118*x + 20*x^2 - x^3 + (-81 + 18*x - x^2)*Log[5/(3 + x)])/(81 - 18*x + x^2)])/(4374 - 2214*x - 330*x^2 + 211*x^3 - 26*x^4 + x^5 + (-2187 + 162*x^2 - 24*x^3 + x^4)*Log[5/(3 + x)]),x]","x \log \left(-\frac{x^3-20 x^2+118 x+(x-9)^2 \log \left(\frac{5}{x+3}\right)-162}{(x-9)^2}\right)","x \log \left(-\frac{x}{(9-x)^2}-x-\log \left(\frac{5}{x+3}\right)+2\right)",1,"x*Log[-((-162 + 118*x - 20*x^2 + x^3 + (-9 + x)^2*Log[5/(3 + x)])/(-9 + x)^2)]","A",1
4759,1,48,21,0.0061937,"\int \frac{1}{3} \left(2+3 x-3 x^2+(1-2 x) \log (5)+(-1+2 x) \log (x)\right) \, dx","Integrate[(2 + 3*x - 3*x^2 + (1 - 2*x)*Log[5] + (-1 + 2*x)*Log[x])/3,x]","-\frac{x^3}{3}+\frac{x^2}{3}+\frac{1}{3} x^2 \log (x)-\frac{1}{3} x^2 \log (5)+x-\frac{1}{3} x \log (x)+\frac{1}{3} x \log (5)","(x-1) \left(1-\frac{1}{3} x (x-\log (x)+\log (5))\right)-5",1,"x + x^2/3 - x^3/3 + (x*Log[5])/3 - (x^2*Log[5])/3 - (x*Log[x])/3 + (x^2*Log[x])/3","B",1
4760,1,26,28,0.2309718,"\int \frac{-50+6 e^4-6 \log (4)+6 \log \left(x^2\right)+\left(-8+e^4-\log (4)+\log \left(x^2\right)\right) \log \left(-\frac{5 x}{-8+e^4-\log (4)+\log \left(x^2\right)}\right)}{-24+3 e^4-3 \log (4)+3 \log \left(x^2\right)} \, dx","Integrate[(-50 + 6*E^4 - 6*Log[4] + 6*Log[x^2] + (-8 + E^4 - Log[4] + Log[x^2])*Log[(-5*x)/(-8 + E^4 - Log[4] + Log[x^2])])/(-24 + 3*E^4 - 3*Log[4] + 3*Log[x^2]),x]","\frac{1}{3} x \left(\log \left(-\frac{5 x}{\log \left(\frac{x^2}{4}\right)+e^4-8}\right)+5\right)","\frac{1}{3} x \left(\log \left(\frac{5 x}{-\log \left(x^2\right)-e^4+8+\log (4)}\right)+5\right)",1,"(x*(5 + Log[(-5*x)/(-8 + E^4 + Log[x^2/4])]))/3","A",1
4761,1,51,40,0.0155788,"\int \frac{26+128 x-520 x^3-576 x^4-96 x^5-4 x^6+e^4 \left(-8 x+32 x^3+4 x^4\right)}{x^3} \, dx","Integrate[(26 + 128*x - 520*x^3 - 576*x^4 - 96*x^5 - 4*x^6 + E^4*(-8*x + 32*x^3 + 4*x^4))/x^3,x]","-x^4-32 x^3+2 e^4 x^2-288 x^2-\frac{13}{x^2}+32 e^4 x-520 x+\frac{8 e^4}{x}-\frac{128}{x}","-\left(-x^2-\frac{(4 x+2)^2}{x}+e^4\right)^2+\frac{\frac{3}{x}-x}{x}+3",1,"-13/x^2 - 128/x + (8*E^4)/x - 520*x + 32*E^4*x - 288*x^2 + 2*E^4*x^2 - 32*x^3 - x^4","A",1
4762,1,13,11,0.0012857,"\int \frac{4+\log (x)}{x^2} \, dx","Integrate[(4 + Log[x])/x^2,x]","-\frac{5}{x}-\frac{\log (x)}{x}","\frac{x-\log (x)-5}{x}",1,"-5/x - Log[x]/x","A",1
4763,1,9,9,0.0046126,"\int \frac{e^{-4 x} (-2-4 x)}{x^3} \, dx","Integrate[(-2 - 4*x)/(E^(4*x)*x^3),x]","\frac{e^{-4 x}}{x^2}","\frac{e^{-4 x}}{x^2}",1,"1/(E^(4*x)*x^2)","A",1
4764,1,21,16,0.0029111,"\int \left(2+e^7+x+\left(e^7+2 x\right) \log (4 x)\right) \, dx","Integrate[2 + E^7 + x + (E^7 + 2*x)*Log[4*x],x]","x^2 \log (4 x)+2 x+e^7 x \log (4 x)","2 x+\left(x+e^7\right) x \log (4 x)+9",1,"2*x + E^7*x*Log[4*x] + x^2*Log[4*x]","A",1
4765,1,30,25,0.1096551,"\int \frac{e^{-4 x} \left(288 x-576 x^2+\left(-2880 x+5760 x^2-1152 x^3+1152 x^4\right) \log (5)+\left(7200 x-14400 x^2+5760 x^3-5760 x^4+864 x^5-576 x^6\right) \log ^2(5)\right)}{25 \log ^2(5)} \, dx","Integrate[(288*x - 576*x^2 + (-2880*x + 5760*x^2 - 1152*x^3 + 1152*x^4)*Log[5] + (7200*x - 14400*x^2 + 5760*x^3 - 5760*x^4 + 864*x^5 - 576*x^6)*Log[5]^2)/(25*E^(4*x)*Log[5]^2),x]","\frac{144 e^{-4 x} x^2 \left(x^2 \log (5)-1+5 \log (5)\right)^2}{25 \log ^2(5)}","\frac{144}{25} e^{-4 x} x^2 \left(x^2+5-\frac{1}{\log (5)}\right)^2",1,"(144*x^2*(-1 + 5*Log[5] + x^2*Log[5])^2)/(25*E^(4*x)*Log[5]^2)","A",1
4766,1,11,20,0.321643,"\int e^{104976-186624 x+124416 x^2-36864 x^3+4096 x^4} \left(-186624+248832 x-110592 x^2+16384 x^3\right) \, dx","Integrate[E^(104976 - 186624*x + 124416*x^2 - 36864*x^3 + 4096*x^4)*(-186624 + 248832*x - 110592*x^2 + 16384*x^3),x]","e^{16 (9-4 x)^4}","e^{\left(2-\frac{3 (6-2 x)}{x}\right)^4 x^4}",1,"E^(16*(9 - 4*x)^4)","A",1
4767,0,0,25,0.5191417,"\int \left(2+\exp \left(-x^2+x^3+\left(-x+x^2\right) \log (3)+(-x-\log (3)) \log (4)\right) \left(2 x-3 x^2+(1-2 x) \log (3)+\log (4)\right)\right) \, dx","Integrate[2 + E^(-x^2 + x^3 + (-x + x^2)*Log[3] + (-x - Log[3])*Log[4])*(2*x - 3*x^2 + (1 - 2*x)*Log[3] + Log[4]),x]","\int \left(2+\exp \left(-x^2+x^3+\left(-x+x^2\right) \log (3)+(-x-\log (3)) \log (4)\right) \left(2 x-3 x^2+(1-2 x) \log (3)+\log (4)\right)\right) \, dx","2 x-e^{(x+\log (3)) ((x-2) x+x-\log (4))}-1",1,"Integrate[2 + E^(-x^2 + x^3 + (-x + x^2)*Log[3] + (-x - Log[3])*Log[4])*(2*x - 3*x^2 + (1 - 2*x)*Log[3] + Log[4]), x]","F",-1
4768,1,49,23,0.1391467,"\int \frac{-24 x+4 x^2+6 x^3-x^4+\left(288+40 x-32 x^2-6 x^3\right) \log (4)+\left(288+40 x-32 x^2-6 x^3\right) \log (4+x)}{4 x^4+x^5} \, dx","Integrate[(-24*x + 4*x^2 + 6*x^3 - x^4 + (288 + 40*x - 32*x^2 - 6*x^3)*Log[4] + (288 + 40*x - 32*x^2 - 6*x^3)*Log[4 + x])/(4*x^4 + x^5),x]","-\frac{24 \log (4 x+16)}{x^3}+\frac{4 \log (x+4)}{x^2}+\frac{\log (256)}{x^2}+\frac{6 \log (x+4)}{x}-\log (x+4)+\frac{6 \log (4)}{x}","\frac{(6-x) \left(x-\frac{4}{x}\right) (\log (x+4)+\log (4))}{x^2}",1,"(6*Log[4])/x + Log[256]/x^2 - Log[4 + x] + (4*Log[4 + x])/x^2 + (6*Log[4 + x])/x - (24*Log[16 + 4*x])/x^3","B",1
4769,1,27,27,0.4419292,"\int \frac{(2+2 x) \log \left(\frac{5}{4 x^3}\right)+\left(2+4 x+2 x^2\right) \log ^2\left(\frac{5}{4 x^3}\right)+\left(-3-3 x+x \log \left(\frac{5}{4 x^3}\right)\right) \log \left(x^2\right)}{x+\left(2 x+2 x^2\right) \log \left(\frac{5}{4 x^3}\right)+\left(x+2 x^2+x^3\right) \log ^2\left(\frac{5}{4 x^3}\right)} \, dx","Integrate[((2 + 2*x)*Log[5/(4*x^3)] + (2 + 4*x + 2*x^2)*Log[5/(4*x^3)]^2 + (-3 - 3*x + x*Log[5/(4*x^3)])*Log[x^2])/(x + (2*x + 2*x^2)*Log[5/(4*x^3)] + (x + 2*x^2 + x^3)*Log[5/(4*x^3)]^2),x]","2 \log (x)-\frac{\log \left(x^2\right)}{(x+1) \log \left(\frac{5}{4 x^3}\right)+1}","\frac{x \log \left(x^2\right)}{\frac{x}{(x+1) \log \left(\frac{5}{4 x^3}\right)}+x}",1,"2*Log[x] - Log[x^2]/(1 + (1 + x)*Log[5/(4*x^3)])","A",1
4770,1,16,19,0.2115845,"\int \frac{2-4 x-2 x^2}{-e x-4 x^2-x^3+x \log \left(25 x^2\right)} \, dx","Integrate[(2 - 4*x - 2*x^2)/(-(E*x) - 4*x^2 - x^3 + x*Log[25*x^2]),x]","\log \left(-\log \left(25 x^2\right)+x (x+4)+e\right)","\log \left(x^2-\log \left(25 x^2\right)+4 x+e\right)+4",1,"Log[E + x*(4 + x) - Log[25*x^2]]","A",1
4771,1,31,32,1.9302165,"\int \frac{-8-18 x-4 \log (5)+e^{1-x} \left(20 x+4 x^2+8 x \log (5)\right)+x \log \left(x^2\right)}{512 x+32 e^{2-2 x} x-256 e^{1-x} x+\left(-64 x+16 e^{1-x} x\right) \log \left(x^2\right)+2 x \log ^2\left(x^2\right)} \, dx","Integrate[(-8 - 18*x - 4*Log[5] + E^(1 - x)*(20*x + 4*x^2 + 8*x*Log[5]) + x*Log[x^2])/(512*x + 32*E^(2 - 2*x)*x - 256*E^(1 - x)*x + (-64*x + 16*E^(1 - x)*x)*Log[x^2] + 2*x*Log[x^2]^2),x]","\frac{e^x (x+4+\log (25))}{2 \left(e^x \log \left(x^2\right)-16 e^x+4 e\right)}","\frac{\frac{x}{2}+2+\log (5)}{4 \left(\frac{\log \left(x^2\right)}{4}+e^{1-x}-4\right)}",1,"(E^x*(4 + x + Log[25]))/(2*(4*E - 16*E^x + E^x*Log[x^2]))","A",1
4772,1,17,16,0.0060733,"\int \frac{-1-2 x+2 x^2}{-2+2 x} \, dx","Integrate[(-1 - 2*x + 2*x^2)/(-2 + 2*x),x]","\frac{1}{2} \left(x^2-\log (2-2 x)+1\right)","\frac{1}{2} \left(x^2-\log (1-x)\right)",1,"(1 + x^2 - Log[2 - 2*x])/2","A",1
4773,1,22,15,0.0000864,"\int \left(-1+4 x^3+8 x^3 \log (4)+4 x^3 \log ^2(4)\right) \, dx","Integrate[-1 + 4*x^3 + 8*x^3*Log[4] + 4*x^3*Log[4]^2,x]","x^4+x^4 \log ^2(4)+2 x^4 \log (4)-x","x^4 (1+\log (4))^2-x+1029",1,"-x + x^4 + 2*x^4*Log[4] + x^4*Log[4]^2","A",1
4774,1,14,16,0.0110525,"\int \frac{e^{-262144 (4-x)} (-16+(16+4194304 x) \log (x))}{\log ^2(x)} \, dx","Integrate[(-16 + (16 + 4194304*x)*Log[x])/(E^(262144*(4 - x))*Log[x]^2),x]","\frac{16 e^{262144 (x-4)} x}{\log (x)}","\frac{16 e^{-262144 (4-x)} x}{\log (x)}",1,"(16*E^(262144*(-4 + x))*x)/Log[x]","A",1
4775,1,31,27,0.05365,"\int \frac{-6 x^3+28 x^5-22 x^7+16 x \log (3)+\left(2 x^3-4 x^5+2 x^7+16 x \log (3)\right) \log \left(\frac{1}{64} \left(x^4-4 x^6+6 x^8-4 x^{10}+x^{12}+\left(16 x^2-32 x^4+16 x^6\right) \log (3)+64 \log ^2(3)\right)\right)}{x^2-2 x^4+x^6+8 \log (3)+\left(3 x^2-6 x^4+3 x^6+24 \log (3)\right) \log \left(\frac{1}{64} \left(x^4-4 x^6+6 x^8-4 x^{10}+x^{12}+\left(16 x^2-32 x^4+16 x^6\right) \log (3)+64 \log ^2(3)\right)\right)+\left(3 x^2-6 x^4+3 x^6+24 \log (3)\right) \log ^2\left(\frac{1}{64} \left(x^4-4 x^6+6 x^8-4 x^{10}+x^{12}+\left(16 x^2-32 x^4+16 x^6\right) \log (3)+64 \log ^2(3)\right)\right)+\left(x^2-2 x^4+x^6+8 \log (3)\right) \log ^3\left(\frac{1}{64} \left(x^4-4 x^6+6 x^8-4 x^{10}+x^{12}+\left(16 x^2-32 x^4+16 x^6\right) \log (3)+64 \log ^2(3)\right)\right)} \, dx","Integrate[(-6*x^3 + 28*x^5 - 22*x^7 + 16*x*Log[3] + (2*x^3 - 4*x^5 + 2*x^7 + 16*x*Log[3])*Log[(x^4 - 4*x^6 + 6*x^8 - 4*x^10 + x^12 + (16*x^2 - 32*x^4 + 16*x^6)*Log[3] + 64*Log[3]^2)/64])/(x^2 - 2*x^4 + x^6 + 8*Log[3] + (3*x^2 - 6*x^4 + 3*x^6 + 24*Log[3])*Log[(x^4 - 4*x^6 + 6*x^8 - 4*x^10 + x^12 + (16*x^2 - 32*x^4 + 16*x^6)*Log[3] + 64*Log[3]^2)/64] + (3*x^2 - 6*x^4 + 3*x^6 + 24*Log[3])*Log[(x^4 - 4*x^6 + 6*x^8 - 4*x^10 + x^12 + (16*x^2 - 32*x^4 + 16*x^6)*Log[3] + 64*Log[3]^2)/64]^2 + (x^2 - 2*x^4 + x^6 + 8*Log[3])*Log[(x^4 - 4*x^6 + 6*x^8 - 4*x^10 + x^12 + (16*x^2 - 32*x^4 + 16*x^6)*Log[3] + 64*Log[3]^2)/64]^3),x]","\frac{x^2}{\left(\log \left(\frac{1}{64} \left(x^6-2 x^4+x^2+8 \log (3)\right)^2\right)+1\right)^2}","\frac{x^2}{\left(\log \left(\left(\frac{1}{8} \left(x-x^3\right)^2+\log (3)\right)^2\right)+1\right)^2}",1,"x^2/(1 + Log[(x^2 - 2*x^4 + x^6 + 8*Log[3])^2/64])^2","A",1
4776,1,15,15,0.088603,"\int \frac{8-4 e^{2+x}}{e^{4+x}-2 e^2 x} \, dx","Integrate[(8 - 4*E^(2 + x))/(E^(4 + x) - 2*E^2*x),x]","-\frac{4 \log \left(e^{x+2}-2 x\right)}{e^2}","-\frac{4 \log \left(e^{x+2}-2 x\right)}{e^2}",1,"(-4*Log[E^(2 + x) - 2*x])/E^2","A",1
4777,1,61,33,0.1345492,"\int \frac{e^{2 x} \left(15 x^2+20 x^3-4 x^4\right)+e^{2 x} \left(24 x+19 x^2-2 x^3\right) \log (4-x)+e^{2 x} \left(2 x+2 x^2\right) \log ^2(4-x)}{-2 x^2+e^{2 x} \left(12 x^3-2 x^4\right)+\left(-4 x+e^{2 x} \left(12 x^2-x^3\right)\right) \log (4-x)+\left(-2+e^{2 x} x^2\right) \log ^2(4-x)} \, dx","Integrate[(E^(2*x)*(15*x^2 + 20*x^3 - 4*x^4) + E^(2*x)*(24*x + 19*x^2 - 2*x^3)*Log[4 - x] + E^(2*x)*(2*x + 2*x^2)*Log[4 - x]^2)/(-2*x^2 + E^(2*x)*(12*x^3 - 2*x^4) + (-4*x + E^(2*x)*(12*x^2 - x^3))*Log[4 - x] + (-2 + E^(2*x)*x^2)*Log[4 - x]^2),x]","\log \left(2 e^{2 x} x^3-12 e^{2 x} x^2-e^{2 x} x^2 \log (4-x)+2 x+2 \log (4-x)\right)-\log (x+\log (4-x))","\log \left(e^{2 x} x \left(x-\frac{3 ((x-3) x-x)}{x+\log (4-x)}\right)-2\right)",1,"-Log[x + Log[4 - x]] + Log[2*x - 12*E^(2*x)*x^2 + 2*E^(2*x)*x^3 + 2*Log[4 - x] - E^(2*x)*x^2*Log[4 - x]]","A",1
4778,1,4,13,0.0002211,"\int \frac{4}{x} \, dx","Integrate[4/x,x]","4 \log (x)","2 \log \left(\frac{2 x^2}{625 e^3}\right)",1,"4*Log[x]","A",1
4779,1,18,16,0.0000715,"\int (-80 \log (5)+80 (i \pi +\log (\log (2)))) \, dx","Integrate[-80*Log[5] + 80*(I*Pi + Log[Log[2]]),x]","-80 x \log (5)+80 x (\log (\log (2))+i \pi )","80 x (i \pi -\log (5)+\log (\log (2)))",1,"-80*x*Log[5] + 80*x*(I*Pi + Log[Log[2]])","A",1
4780,1,15,17,0.0186163,"\int \frac{-8 e^3+e^{-3+e^{-6+x}+x}}{16 e^3} \, dx","Integrate[(-8*E^3 + E^(-3 + E^(-6 + x) + x))/(16*E^3),x]","\frac{1}{16} \left(e^{e^{x-6}}-8 x\right)","\frac{e^{e^{x-6}}}{16}-\frac{x}{2}",1,"(E^E^(-6 + x) - 8*x)/16","A",1
4781,1,25,28,0.6521287,"\int \frac{9+3 e^{e^5 x} x-3 x^2+\left(-18+18 x^2+e^{e^5 x} \left(-12 x-6 e^5 x^2\right)\right) \log (x) \log (\log (x))}{\left(27 x^3-27 x^5+e^{3 e^5 x} x^6+9 x^7-x^9+e^{2 e^5 x} \left(9 x^5-3 x^7\right)+e^{e^5 x} \left(27 x^4-18 x^6+3 x^8\right)\right) \log (x)} \, dx","Integrate[(9 + 3*E^(E^5*x)*x - 3*x^2 + (-18 + 18*x^2 + E^(E^5*x)*(-12*x - 6*E^5*x^2))*Log[x]*Log[Log[x]])/((27*x^3 - 27*x^5 + E^(3*E^5*x)*x^6 + 9*x^7 - x^9 + E^(2*E^5*x)*(9*x^5 - 3*x^7) + E^(E^5*x)*(27*x^4 - 18*x^6 + 3*x^8))*Log[x]),x]","\frac{3 \log (\log (x))}{x^2 \left(x^2-e^{e^5 x} x-3\right)^2}","\frac{3 \log (\log (x))}{x^2 \left(x \left(x-e^{e^5 x}\right)-3\right)^2}+\log (5)",1,"(3*Log[Log[x]])/(x^2*(-3 - E^(E^5*x)*x + x^2)^2)","A",1
4782,1,48,32,0.139964,"\int \left(2 e^2 x+e^{1+3 x} \left(-64 x^3-48 x^4+96 x^5+48 x^6\right)+e^{8 x} \left(96 x^5+128 x^6\right)+e^{7 x} \left(384 x^5+448 x^6-512 x^7-448 x^8\right)+e^{1+2 x} \left(-32 x^3-16 x^4+96 x^5+32 x^6-64 x^7-16 x^8\right)+e^{6 x} \left(576 x^5+576 x^6-1536 x^7-1152 x^8+960 x^9+576 x^{10}\right)+e^{5 x} \left(384 x^5+320 x^6-1536 x^7-960 x^8+1920 x^9+960 x^{10}-768 x^{11}-320 x^{12}\right)+e^{4 x} \left(96 x^5+64 x^6-512 x^7-256 x^8+960 x^9+384 x^{10}-768 x^{11}-256 x^{12}+224 x^{13}+64 x^{14}+e \left(-32 x^3-32 x^4\right)\right)\right) \, dx","Integrate[2*E^2*x + E^(1 + 3*x)*(-64*x^3 - 48*x^4 + 96*x^5 + 48*x^6) + E^(8*x)*(96*x^5 + 128*x^6) + E^(7*x)*(384*x^5 + 448*x^6 - 512*x^7 - 448*x^8) + E^(1 + 2*x)*(-32*x^3 - 16*x^4 + 96*x^5 + 32*x^6 - 64*x^7 - 16*x^8) + E^(6*x)*(576*x^5 + 576*x^6 - 1536*x^7 - 1152*x^8 + 960*x^9 + 576*x^10) + E^(5*x)*(384*x^5 + 320*x^6 - 1536*x^7 - 960*x^8 + 1920*x^9 + 960*x^10 - 768*x^11 - 320*x^12) + E^(4*x)*(96*x^5 + 64*x^6 - 512*x^7 - 256*x^8 + 960*x^9 + 384*x^10 - 768*x^11 - 256*x^12 + 224*x^13 + 64*x^14 + E*(-32*x^3 - 32*x^4)),x]","\left(-4 e^{4 x} x^3-4 e^{2 x} \left(x^2-1\right)^2 x^3+8 e^{3 x} \left(x^2-1\right) x^3+e x\right)^2","x^2 \left(4 e^{2 x} x^2 \left(-x^2+e^x+1\right)^2-e\right)^2",1,"(E*x - 4*E^(4*x)*x^3 + 8*E^(3*x)*x^3*(-1 + x^2) - 4*E^(2*x)*x^3*(-1 + x^2)^2)^2","A",1
4783,1,30,31,1.4974602,"\int \frac{\exp \left(-e^4+\frac{e^{-e^4+48 \log ^2(5)} \left(-1+e^{e^4} \left(-2 x+2 x^2\right)\right)}{-x+x^2}+48 \log ^2(5)\right) (-1+2 x)}{x^2-2 x^3+x^4} \, dx","Integrate[(E^(-E^4 + (E^(-E^4 + 48*Log[5]^2)*(-1 + E^E^4*(-2*x + 2*x^2)))/(-x + x^2) + 48*Log[5]^2)*(-1 + 2*x))/(x^2 - 2*x^3 + x^4),x]","e^{\left(\frac{e^{-e^4}}{x-x^2}+2\right) e^{48 \log ^2(5)}}","e^{\left(\frac{e^{-e^4}}{(1-x) x}+2\right) e^{48 \log ^2(5)}}",1,"E^(E^(48*Log[5]^2)*(2 + 1/(E^E^4*(x - x^2))))","A",1
4784,1,16,21,0.0177055,"\int \frac{11 x^2+e^{5+x^2} \left(5-10 x^2\right)}{x^2} \, dx","Integrate[(11*x^2 + E^(5 + x^2)*(5 - 10*x^2))/x^2,x]","11 x-\frac{5 e^{x^2+5}}{x}","5 \left(-\frac{e^{x^2+5}}{x}+2 x+3\right)+x",1,"(-5*E^(5 + x^2))/x + 11*x","A",1
4785,1,65,32,2.0961172,"\int \frac{1}{5} \left(5+4 e^{1+e^{\frac{1}{5} \left(1-20 x+4 x^2-\log (4)\right)}-x} \left(5+e^{\frac{1}{5} \left(1-20 x+4 x^2-\log (4)\right)} (20-8 x)\right)\right) \, dx","Integrate[(5 + 4*E^(1 + E^((1 - 20*x + 4*x^2 - Log[4])/5) - x)*(5 + E^((1 - 20*x + 4*x^2 - Log[4])/5)*(20 - 8*x)))/5,x]","\frac{1}{5} \int \left(4 e^{e^{\frac{1}{5} \left(4 x^2-20 x+1-\log (4)\right)}-x+1} \left((20-8 x) e^{\frac{1}{5} \left(4 x^2-20 x+1-\log (4)\right)}+5\right)+5\right) \, dx","x-4 e^{e^{\frac{1}{5} \left(4 \left(x^2-5 x\right)+1-\log (4)\right)}-x+1}",1,"Integrate[5 + 4*E^(1 + E^((1 - 20*x + 4*x^2 - Log[4])/5) - x)*(5 + E^((1 - 20*x + 4*x^2 - Log[4])/5)*(20 - 8*x)), x]/5","F",1
4786,1,37,29,0.2579811,"\int \frac{126-54 \log (x)+6 \log ^2(x)+e^{\frac{1}{6} \left(-30+35 x^2+5 x \log (x)\right)} \left(80+1120 x+(40-560 x) \log (x)+(-35+70 x) \log ^2(x)+5 \log ^3(x)\right)}{96-48 \log (x)+6 \log ^2(x)} \, dx","Integrate[(126 - 54*Log[x] + 6*Log[x]^2 + E^((-30 + 35*x^2 + 5*x*Log[x])/6)*(80 + 1120*x + (40 - 560*x)*Log[x] + (-35 + 70*x)*Log[x]^2 + 5*Log[x]^3))/(96 - 48*Log[x] + 6*Log[x]^2),x]","\frac{1}{6} \left(6 e^{\frac{35 x^2}{6}-5} x^{5 x/6}+6 x-\frac{6 x}{\log (x)-4}\right)","x+\frac{x}{4-\log (x)}+e^{5 x \left(x+\frac{1}{6} (x+\log (x))\right)-5}",1,"(6*x + 6*E^(-5 + (35*x^2)/6)*x^((5*x)/6) - (6*x)/(-4 + Log[x]))/6","A",1
4787,0,0,35,1.5185354,"\int \frac{-16 x+4 x^3+\left(-80+20 x^2\right) \log (3)+\left(-8 x-12 x^2+2 x^3+x^4+\left(-40-80 x+10 x^2\right) \log (3)+\left(-100-25 x^2\right) \log ^2(3)\right) \log (x)+\left(16-4 x^2+\left(8+16 x-2 x^2+\left(40+10 x^2\right) \log (3)\right) \log (x)\right) \log \left(\frac{5}{2 x \log ^2(x)}\right)+\left(-4-x^2\right) \log (x) \log ^2\left(\frac{5}{2 x \log ^2(x)}\right)}{\left(16-8 x^2+x^4\right) \log ^2(3) \log (x)} \, dx","Integrate[(-16*x + 4*x^3 + (-80 + 20*x^2)*Log[3] + (-8*x - 12*x^2 + 2*x^3 + x^4 + (-40 - 80*x + 10*x^2)*Log[3] + (-100 - 25*x^2)*Log[3]^2)*Log[x] + (16 - 4*x^2 + (8 + 16*x - 2*x^2 + (40 + 10*x^2)*Log[3])*Log[x])*Log[5/(2*x*Log[x]^2)] + (-4 - x^2)*Log[x]*Log[5/(2*x*Log[x]^2)]^2)/((16 - 8*x^2 + x^4)*Log[3]^2*Log[x]),x]","\int \frac{-16 x+4 x^3+\left(-80+20 x^2\right) \log (3)+\left(-8 x-12 x^2+2 x^3+x^4+\left(-40-80 x+10 x^2\right) \log (3)+\left(-100-25 x^2\right) \log ^2(3)\right) \log (x)+\left(16-4 x^2+\left(8+16 x-2 x^2+\left(40+10 x^2\right) \log (3)\right) \log (x)\right) \log \left(\frac{5}{2 x \log ^2(x)}\right)+\left(-4-x^2\right) \log (x) \log ^2\left(\frac{5}{2 x \log ^2(x)}\right)}{\left(16-8 x^2+x^4\right) \log ^2(3) \log (x)} \, dx","\frac{\left(\frac{x-\log \left(\frac{5}{2 x \log ^2(x)}\right)}{\log (3)}+5\right)^2}{x-\frac{4}{x}}",1,"Integrate[(-16*x + 4*x^3 + (-80 + 20*x^2)*Log[3] + (-8*x - 12*x^2 + 2*x^3 + x^4 + (-40 - 80*x + 10*x^2)*Log[3] + (-100 - 25*x^2)*Log[3]^2)*Log[x] + (16 - 4*x^2 + (8 + 16*x - 2*x^2 + (40 + 10*x^2)*Log[3])*Log[x])*Log[5/(2*x*Log[x]^2)] + (-4 - x^2)*Log[x]*Log[5/(2*x*Log[x]^2)]^2)/((16 - 8*x^2 + x^4)*Log[3]^2*Log[x]), x]","F",-1
4788,1,18,21,0.0828693,"\int \frac{x+(-225-i \pi -x-\log (\log (7))) \log (225+i \pi +x+\log (\log (7)))}{\left(225 x+x^2+x (i \pi +\log (\log (7)))\right) \log (225+i \pi +x+\log (\log (7)))} \, dx","Integrate[(x + (-225 - I*Pi - x - Log[Log[7]])*Log[225 + I*Pi + x + Log[Log[7]]])/((225*x + x^2 + x*(I*Pi + Log[Log[7]]))*Log[225 + I*Pi + x + Log[Log[7]]]),x]","-\log (x)+\log (\log (x+i \pi +225+\log (\log (7))))","-1+\log \left(\frac{\log (4) \log (x+i \pi +225+\log (\log (7)))}{x}\right)",1,"-Log[x] + Log[Log[225 + I*Pi + x + Log[Log[7]]]]","A",1
4789,1,57,26,0.2919528,"\int \frac{50 e^{2 x}+100 e^x x+50 x^2+\left(-100 e^{2 x} x-100 x^2+e^x \left(-100 x-100 x^2\right)\right) \log (x)+\left(2 x-10 x^2+12 x^3+e^{2 x} \left(-2-4 x+8 x^2\right)+e^x \left(-12 x+8 x^2+8 x^3\right)\right) \log ^2(x)+\left(-4 e^{2 x} x-4 x^2+e^x \left(-4 x-4 x^2\right)\right) \log ^3(x)}{x \log ^2(x)} \, dx","Integrate[(50*E^(2*x) + 100*E^x*x + 50*x^2 + (-100*E^(2*x)*x - 100*x^2 + E^x*(-100*x - 100*x^2))*Log[x] + (2*x - 10*x^2 + 12*x^3 + E^(2*x)*(-2 - 4*x + 8*x^2) + E^x*(-12*x + 8*x^2 + 8*x^3))*Log[x]^2 + (-4*E^(2*x)*x - 4*x^2 + E^x*(-4*x - 4*x^2))*Log[x]^3)/(x*Log[x]^2),x]","2 \left(2 x^3-2 x^2+4 e^x (x-1) x+x+2 e^{2 x} (x-1)-\left(x+e^x\right)^2 \log (x)-\frac{25 \left(x+e^x\right)^2}{\log (x)}\right)","2 \left(x-\left(x+e^x\right)^2 \left(-2 x+\log (x)+\frac{25}{\log (x)}+2\right)\right)",1,"2*(2*E^(2*x)*(-1 + x) + x + 4*E^x*(-1 + x)*x - 2*x^2 + 2*x^3 - (25*(E^x + x)^2)/Log[x] - (E^x + x)^2*Log[x])","B",1
4790,1,28,25,0.345343,"\int \frac{4+2 x^3+x^2 \log \left(9 e^{2 x}\right)-4 \log (2 x)}{81 x^2+x^3 \log \left(9 e^{2 x}\right)+4 x \log (2 x)} \, dx","Integrate[(4 + 2*x^3 + x^2*Log[9*E^(2*x)] - 4*Log[2*x])/(81*x^2 + x^3*Log[9*E^(2*x)] + 4*x*Log[2*x]),x]","\log \left(x^2 \log \left(9 e^{2 x}\right)+81 x+4 \log (2 x)\right)-\log (x)","\log \left(x \log \left(9 e^{2 x}\right)+4 \left(\frac{\log (2 x)}{x}+20\right)+1\right)",1,"-Log[x] + Log[81*x + x^2*Log[9*E^(2*x)] + 4*Log[2*x]]","A",1
4791,1,11,18,0.0108318,"\int \left(-1+e^x (-2+x)\right) \, dx","Integrate[-1 + E^x*(-2 + x),x]","e^x (x-3)-x","-e^x (3-x)-x+e^2+6",1,"E^x*(-3 + x) - x","A",1
4792,1,17,16,0.0360369,"\int \frac{3+71 x-48 x^2+8 x^3+x \log (x)}{72 x-48 x^2+8 x^3} \, dx","Integrate[(3 + 71*x - 48*x^2 + 8*x^3 + x*Log[x])/(72*x - 48*x^2 + 8*x^3),x]","\frac{1}{8} \left(8 x-\frac{\log (x)}{x-3}\right)","x+\frac{\log (x)}{8 (3-x)}-21",1,"(8*x - Log[x]/(-3 + x))/8","A",1
4793,1,32,28,1.0190456,"\int \frac{e^{\frac{1}{2} (-1-10 x)} (-17-85 x)+e^x \left(-3 x^2+e^{\frac{1}{2} (-1-10 x)} (3+18 x)\right)}{3 e^{-1-10 x}-6 e^{\frac{1}{2} (-1-10 x)} x+3 x^2} \, dx","Integrate[(E^((-1 - 10*x)/2)*(-17 - 85*x) + E^x*(-3*x^2 + E^((-1 - 10*x)/2)*(3 + 18*x)))/(3*E^(-1 - 10*x) - 6*E^((-1 - 10*x)/2)*x + 3*x^2),x]","-\frac{3 e^x-17}{3 \left(e^{5 x+\frac{1}{2}} x-1\right)}-e^x","\frac{\left(\frac{17}{3}-e^x\right) x}{x-e^{5 \left(-x-\frac{1}{10}\right)}}",1,"-E^x - (-17 + 3*E^x)/(3*(-1 + E^(1/2 + 5*x)*x))","A",1
4794,1,18,22,0.1032272,"\int \left(-1+e^{2 x} (3+x)+e^{2 x} \left(3+8 x+2 x^2\right) \log (x)+\left(e^{2 x}+e^{2 x} (1+2 x) \log (x)\right) \log \left(\frac{\log (4)}{2}\right)\right) \, dx","Integrate[-1 + E^(2*x)*(3 + x) + E^(2*x)*(3 + 8*x + 2*x^2)*Log[x] + (E^(2*x) + E^(2*x)*(1 + 2*x)*Log[x])*Log[Log[4]/2],x]","x \left(e^{2 x} \log (x) (x+3+\log (\log (2)))-1\right)","\left(e^{2 x} x \log (x)-1\right) \left(x+3+\log \left(\frac{\log (4)}{2}\right)\right)",1,"x*(-1 + E^(2*x)*Log[x]*(3 + x + Log[Log[2]]))","A",1
4795,1,17,19,0.0098835,"\int \frac{-45-9 e^2 x}{900 x^3+240 e^2 x^4+16 e^4 x^5} \, dx","Integrate[(-45 - 9*E^2*x)/(900*x^3 + 240*E^2*x^4 + 16*E^4*x^5),x]","\frac{3}{8 x^2 \left(2 e^2 x+15\right)}","\frac{1}{4 x^2 \left(\frac{4 e^2 x}{3}+10\right)}",1,"3/(8*x^2*(15 + 2*E^2*x))","A",1
4796,1,21,27,0.0253208,"\int \frac{1}{5} \left(1-48 x+12 e^5 x+e^x \left(-12 x-6 x^2\right)\right) \, dx","Integrate[(1 - 48*x + 12*E^5*x + E^x*(-12*x - 6*x^2))/5,x]","\frac{1}{5} \left(x-6 \left(e^x+4-e^5\right) x^2\right)","\frac{1}{5} \left(6 \left(-e^x-4+e^5\right) x^2+x-e^3-5\right)",1,"(x - 6*(4 - E^5 + E^x)*x^2)/5","A",1
4797,1,52,31,0.1085724,"\int \frac{3065 x^2+(-200-550 x) \log (4)+25 \log ^2(4)+\left(40 x^2+1100 x^3+\left(-80 x-210 x^2\right) \log (4)+10 x \log ^2(4)\right) \log (x)+\left(100 x^4+\left(-8 x^2-20 x^3\right) \log (4)+x^2 \log ^2(4)\right) \log ^2(x)}{3025 x^2-550 x \log (4)+25 \log ^2(4)+\left(1100 x^3-210 x^2 \log (4)+10 x \log ^2(4)\right) \log (x)+\left(100 x^4-20 x^3 \log (4)+x^2 \log ^2(4)\right) \log ^2(x)} \, dx","Integrate[(3065*x^2 + (-200 - 550*x)*Log[4] + 25*Log[4]^2 + (40*x^2 + 1100*x^3 + (-80*x - 210*x^2)*Log[4] + 10*x*Log[4]^2)*Log[x] + (100*x^4 + (-8*x^2 - 20*x^3)*Log[4] + x^2*Log[4]^2)*Log[x]^2)/(3025*x^2 - 550*x*Log[4] + 25*Log[4]^2 + (1100*x^3 - 210*x^2*Log[4] + 10*x*Log[4]^2)*Log[x] + (100*x^4 - 20*x^3*Log[4] + x^2*Log[4]^2)*Log[x]^2),x]","-\frac{40 x^2}{(10 x-\log (4)) (55 x+x (10 x-\log (4)) \log (x)-5 \log (4))}+x+\frac{\log (256)}{50 x-5 \log (4)}","x+\frac{x}{x+\frac{1}{8} \left(2 x+\frac{5 x}{x \log (x)+5}-\log (4)\right)}",1,"x + Log[256]/(50*x - 5*Log[4]) - (40*x^2)/((10*x - Log[4])*(55*x - 5*Log[4] + x*(10*x - Log[4])*Log[x]))","A",1
4798,1,28,21,0.0157161,"\int \frac{36+54 x-9 x^2+\left(18 x-3 x^2\right) \log (4)}{9-6 x+x^2} \, dx","Integrate[(36 + 54*x - 9*x^2 + (18*x - 3*x^2)*Log[4])/(9 - 6*x + x^2),x]","-\frac{3 \left(x^2 (3+\log (4))-6 x (3+\log (4))+66+18 \log (4)\right)}{x-3}","\frac{3 x^2 \left(-\frac{4}{x}-3-\log (4)\right)}{x-3}",1,"(-3*(66 + 18*Log[4] - 6*x*(3 + Log[4]) + x^2*(3 + Log[4])))/(-3 + x)","A",1
4799,1,26,21,0.4242886,"\int \frac{e^{2 x} \left(-e^{10}+16 x+15 x^2+e^5 (8+14 x)\right)+e^{2 x} \left(x^2+2 x^3+e^{10} (1+2 x)+e^5 \left(2 x+4 x^2\right)\right) \log (x)}{64+\left(16 e^5+16 x\right) \log (x)+\left(e^{10}+2 e^5 x+x^2\right) \log ^2(x)} \, dx","Integrate[(E^(2*x)*(-E^10 + 16*x + 15*x^2 + E^5*(8 + 14*x)) + E^(2*x)*(x^2 + 2*x^3 + E^10*(1 + 2*x) + E^5*(2*x + 4*x^2))*Log[x])/(64 + (16*E^5 + 16*x)*Log[x] + (E^10 + 2*E^5*x + x^2)*Log[x]^2),x]","\frac{e^{2 x} x \left(x+e^5\right)}{x \log (x)+e^5 \log (x)+8}","\frac{e^{2 x} x}{\frac{8}{x+e^5}+\log (x)}",1,"(E^(2*x)*x*(E^5 + x))/(8 + E^5*Log[x] + x*Log[x])","A",1
4800,1,27,22,0.0359852,"\int \frac{-10+6 x+6 x^2+2 x^3+e^4 \left(-5+2 x+x^2\right)+\left(-5+2 x+x^2\right) \log (3)}{1+2 x+x^2} \, dx","Integrate[(-10 + 6*x + 6*x^2 + 2*x^3 + E^4*(-5 + 2*x + x^2) + (-5 + 2*x + x^2)*Log[3])/(1 + 2*x + x^2),x]","x^2+x \left(2+e^4+\log (3)\right)+\frac{6 \left(2+e^4+\log (3)\right)}{x+1}","\frac{x \left(x^2+5\right) \left(x+e^4+3+\log (3)\right)}{x^2+x}",1,"x^2 + x*(2 + E^4 + Log[3]) + (6*(2 + E^4 + Log[3]))/(1 + x)","A",1
4801,1,53,31,0.0108389,"\int \left(-2 e^{2 x}-8 x+e^5 \left(-30 x+51 x^2+16 x^3+100 x^4+24 x^5\right)\right) \, dx","Integrate[-2*E^(2*x) - 8*x + E^5*(-30*x + 51*x^2 + 16*x^3 + 100*x^4 + 24*x^5),x]","4 e^5 x^6+20 e^5 x^5+4 e^5 x^4+17 e^5 x^3-15 e^5 x^2-4 x^2-e^{2 x}","x^2 \left(e^5 (x+5) \left(4 x \left(x^2+1\right)-3\right)-4\right)-e^{2 x}",1,"-E^(2*x) - 4*x^2 - 15*E^5*x^2 + 17*E^5*x^3 + 4*E^5*x^4 + 20*E^5*x^5 + 4*E^5*x^6","A",1
4802,1,12,14,0.0049725,"\int e^{-2 x} \left(54 x-54 x^2\right) \log (5) \, dx","Integrate[((54*x - 54*x^2)*Log[5])/E^(2*x),x]","27 e^{-2 x} x^2 \log (5)","27 e^{-2 x} x^2 \log (5)+15",1,"(27*x^2*Log[5])/E^(2*x)","A",1
4803,1,27,29,0.4635863,"\int \frac{-30 x^2+e^{\frac{25+10 x+x^2}{x}} \left(-125+5 x^2\right)+6 x^2 \log (2)}{-75 x^2+5 e^{\frac{25+10 x+x^2}{x}} x^2-30 x^3+\left(15 x^2+6 x^3\right) \log (2)} \, dx","Integrate[(-30*x^2 + E^((25 + 10*x + x^2)/x)*(-125 + 5*x^2) + 6*x^2*Log[2])/(-75*x^2 + 5*E^((25 + 10*x + x^2)/x)*x^2 - 30*x^3 + (15*x^2 + 6*x^3)*Log[2]),x]","\log \left(30 x-5 e^{x+\frac{25}{x}+10}+x (-\log (64))+75-15 \log (2)\right)","\log \left(x+5 \left(x+\frac{e^{\frac{(x+5)^2}{x}}}{\log (2)-5}+3\right)\right)+\log (2)",1,"Log[75 - 5*E^(10 + 25/x + x) + 30*x - 15*Log[2] - x*Log[64]]","A",1
4804,1,13,18,0.005115,"\int \left(\frac{e^{-5+x}}{3}+2 x\right) \, dx","Integrate[E^(-5 + x)/3 + 2*x,x]","x^2+\frac{e^{x-5}}{3}","x^2+\frac{e^{x-5}}{3}+4-\log (4)",1,"E^(-5 + x)/3 + x^2","A",1
4805,1,13,21,0.012923,"\int \frac{e^{\frac{1}{x}} (112-112 x)-336 x^3}{x} \, dx","Integrate[(E^x^(-1)*(112 - 112*x) - 336*x^3)/x,x]","-112 \left(x^3+e^{\frac{1}{x}} x\right)","112 x \left(-x^2-e^{\frac{1}{x}}+\frac{25}{x}\right)",1,"-112*(E^x^(-1)*x + x^3)","A",1
4806,1,24,26,0.1846093,"\int \frac{e^{x+x^2} \left(4+e^{\frac{1}{e^3}} (-1-2 x)+8 x\right)+e^{x+2 x^2} \left(-1-x-4 x^2\right)}{e} \, dx","Integrate[(E^(x + x^2)*(4 + E^E^(-3)*(-1 - 2*x) + 8*x) + E^(x + 2*x^2)*(-1 - x - 4*x^2))/E,x]","-e^{x^2+x-1} \left(e^{x^2} x+e^{\frac{1}{e^3}}-4\right)","e^{x^2+x-1} \left(-e^{x^2} x-e^{\frac{1}{e^3}}+4\right)",1,"-(E^(-1 + x + x^2)*(-4 + E^E^(-3) + E^x^2*x))","A",1
4807,1,87,23,0.3642916,"\int \frac{\exp \left(\frac{1}{16} \left(1-8 x+24 x^2-32 x^3+16 x^4+\left(-4+24 x-48 x^2+32 x^3\right) \log \left(\frac{x^2}{1+x}\right)+\left(6-24 x+24 x^2\right) \log ^2\left(\frac{x^2}{1+x}\right)+(-4+8 x) \log ^3\left(\frac{x^2}{1+x}\right)+\log ^4\left(\frac{x^2}{1+x}\right)\right)\right) \left(-2+9 x-8 x^2-8 x^3+16 x^5+\left(6-15 x-6 x^2+12 x^3+24 x^4\right) \log \left(\frac{x^2}{1+x}\right)+\left(-6+3 x+12 x^2+12 x^3\right) \log ^2\left(\frac{x^2}{1+x}\right)+\left(2+3 x+2 x^2\right) \log ^3\left(\frac{x^2}{1+x}\right)\right)}{4 x+4 x^2} \, dx","Integrate[(E^((1 - 8*x + 24*x^2 - 32*x^3 + 16*x^4 + (-4 + 24*x - 48*x^2 + 32*x^3)*Log[x^2/(1 + x)] + (6 - 24*x + 24*x^2)*Log[x^2/(1 + x)]^2 + (-4 + 8*x)*Log[x^2/(1 + x)]^3 + Log[x^2/(1 + x)]^4)/16)*(-2 + 9*x - 8*x^2 - 8*x^3 + 16*x^5 + (6 - 15*x - 6*x^2 + 12*x^3 + 24*x^4)*Log[x^2/(1 + x)] + (-6 + 3*x + 12*x^2 + 12*x^3)*Log[x^2/(1 + x)]^2 + (2 + 3*x + 2*x^2)*Log[x^2/(1 + x)]^3))/(4*x + 4*x^2),x]","\left(\frac{x^2}{x+1}\right)^{\frac{1}{4} (2 x-1)^3} \exp \left(\frac{1}{16} \left(\log ^4\left(\frac{x^2}{x+1}\right)+(8 x-4) \log ^3\left(\frac{x^2}{x+1}\right)+6 (1-2 x)^2 \log ^2\left(\frac{x^2}{x+1}\right)+(1-2 x)^4\right)\right)","e^{\frac{1}{16} \left(\log \left(\frac{x^2}{x+1}\right)+2 x-1\right)^4}",1,"E^(((1 - 2*x)^4 + 6*(1 - 2*x)^2*Log[x^2/(1 + x)]^2 + (-4 + 8*x)*Log[x^2/(1 + x)]^3 + Log[x^2/(1 + x)]^4)/16)*(x^2/(1 + x))^((-1 + 2*x)^3/4)","B",1
4808,1,25,33,0.6503105,"\int \frac{-5760+1728 x+180 x^2-36 x^3+(-960+192 x) \log (2)+(2880-576 x) \log \left(-5 x^2+x^3\right)}{-45 x^4+9 x^5+\left(-480 x^2+96 x^3\right) \log (2)+(-1280+256 x) \log ^2(2)+\left(1440 x^2-288 x^3+(7680-1536 x) \log (2)\right) \log \left(-5 x^2+x^3\right)+(-11520+2304 x) \log ^2\left(-5 x^2+x^3\right)} \, dx","Integrate[(-5760 + 1728*x + 180*x^2 - 36*x^3 + (-960 + 192*x)*Log[2] + (2880 - 576*x)*Log[-5*x^2 + x^3])/(-45*x^4 + 9*x^5 + (-480*x^2 + 96*x^3)*Log[2] + (-1280 + 256*x)*Log[2]^2 + (1440*x^2 - 288*x^3 + (7680 - 1536*x)*Log[2])*Log[-5*x^2 + x^3] + (-11520 + 2304*x)*Log[-5*x^2 + x^3]^2),x]","-\frac{12 x}{-3 x^2+48 \log \left((x-5) x^2\right)-16 \log (2)}","\frac{x}{4 \left(\frac{x^2}{16}-\log \left((x-5) x^2\right)+\frac{\log (2)}{3}\right)}-1",1,"(-12*x)/(-3*x^2 - 16*Log[2] + 48*Log[(-5 + x)*x^2])","A",1
4809,1,22,25,0.2610588,"\int \left(e^{3+x} \left(4-16 x+16 x^2+32 x^3-32 x^4-32 x^5-4 x^6\right)+e^{3+x} \left(4-12 x-20 x^2+28 x^3+28 x^4+4 x^5\right) \log (x)\right) \, dx","Integrate[E^(3 + x)*(4 - 16*x + 16*x^2 + 32*x^3 - 32*x^4 - 32*x^5 - 4*x^6) + E^(3 + x)*(4 - 12*x - 20*x^2 + 28*x^3 + 28*x^4 + 4*x^5)*Log[x],x]","-4 e^{x+3} x \left(x^2+x-1\right)^2 (x-\log (x))","e^{x+3} x (2-x (2 x+2))^2 (\log (x)-x)",1,"-4*E^(3 + x)*x*(-1 + x + x^2)^2*(x - Log[x])","A",1
4810,1,88,33,0.2526431,"\int \frac{-16 x+4 x^2-4 x^3-4 e^x x^4-9 x^6+\left(16+4 e^x x^3+9 x^5\right) \log (x)+\left(8 x^3-2 x^4+2 x^5+2 e^x x^6+\left(-8 x^2-2 e^x x^5\right) \log (x)\right) \log \left(e^{e^8+e^x} (x-\log (x))\right)}{-9 x^6+9 x^5 \log (x)} \, dx","Integrate[(-16*x + 4*x^2 - 4*x^3 - 4*E^x*x^4 - 9*x^6 + (16 + 4*E^x*x^3 + 9*x^5)*Log[x] + (8*x^3 - 2*x^4 + 2*x^5 + 2*E^x*x^6 + (-8*x^2 - 2*E^x*x^5)*Log[x])*Log[E^(E^8 + E^x)*(x - Log[x])])/(-9*x^6 + 9*x^5*Log[x]),x]","\frac{1}{9} \left(-\frac{4}{x^4}+\left(\frac{4}{x^2}-2 e^x\right) \log \left(e^{e^x+e^8} (x-\log (x))\right)+e^{2 x}+9 x+\log ^2(x-\log (x))+2 \left(e^x-\log \left(e^{e^x+e^8} (x-\log (x))\right)\right) \log (x-\log (x))\right)","x-\frac{1}{9} \left(\frac{2}{x^2}-\log \left(e^{e^x+e^8} (x-\log (x))\right)\right)^2",1,"(E^(2*x) - 4/x^4 + 9*x + Log[x - Log[x]]^2 + 2*Log[x - Log[x]]*(E^x - Log[E^(E^8 + E^x)*(x - Log[x])]) + (-2*E^x + 4/x^2)*Log[E^(E^8 + E^x)*(x - Log[x])])/9","B",1
4811,1,20,22,0.0098461,"\int \frac{e^{\frac{e^{15}}{x}} \left(-36 e^{15}+36 x+\left(48 e^{15}-48 x\right) \log (2)+\left(-16 e^{15}+16 x\right) \log ^2(2)\right)}{3 x} \, dx","Integrate[(E^(E^15/x)*(-36*E^15 + 36*x + (48*E^15 - 48*x)*Log[2] + (-16*E^15 + 16*x)*Log[2]^2))/(3*x),x]","\frac{4}{3} e^{\frac{e^{15}}{x}} x (\log (4)-3)^2","\frac{4}{3} e^{\frac{e^{15}}{x}} x (3-2 \log (2))^2",1,"(4*E^(E^15/x)*x*(-3 + Log[4])^2)/3","A",0
4812,1,18,25,0.0239335,"\int e^{\frac{2 \left(2+\left(450 x+525 x^2\right) \log (4)\right)}{x}} \left(-4+2 x+1050 x^2 \log (4)\right) \, dx","Integrate[E^((2*(2 + (450*x + 525*x^2)*Log[4]))/x)*(-4 + 2*x + 1050*x^2*Log[4]),x]","2^{2100 x+1800} e^{4/x} x^2","x^2 e^{\frac{2 (75 x (x+6 (x+1)) \log (4)+2)}{x}}",1,"2^(1800 + 2100*x)*E^(4/x)*x^2","A",1
4813,1,20,20,0.0106451,"\int \frac{-e^4-e^e \log ^2(5)+x^2 \log ^2(5)}{x^2 \log ^2(5)} \, dx","Integrate[(-E^4 - E^E*Log[5]^2 + x^2*Log[5]^2)/(x^2*Log[5]^2),x]","x+\frac{e^e}{x}+\frac{e^4}{x \log ^2(5)}","\frac{x^2+x+e^e+\frac{e^4}{\log ^2(5)}}{x}",1,"E^E/x + x + E^4/(x*Log[5]^2)","A",1
4814,1,22,25,0.1184741,"\int \frac{2+2 x+x^2+e^{8-2 x} \left(-1+3 x^2+2 x^3\right)-\log (7)}{1+2 x+x^2} \, dx","Integrate[(2 + 2*x + x^2 + E^(8 - 2*x)*(-1 + 3*x^2 + 2*x^3) - Log[7])/(1 + 2*x + x^2),x]","-e^{8-2 x} x+x+\frac{\log (7)-1}{x+1}","\frac{x (x+\log (7))}{x^2+x}-e^{8-2 x} x+x",1,"x - E^(8 - 2*x)*x + (-1 + Log[7])/(1 + x)","A",1
4815,1,16,18,0.0789733,"\int \frac{e^x \left(-32+56 x-32 x^2+4 x^3\right)}{-64 x^2+48 x^3-12 x^4+x^5} \, dx","Integrate[(E^x*(-32 + 56*x - 32*x^2 + 4*x^3))/(-64*x^2 + 48*x^3 - 12*x^4 + x^5),x]","\frac{4 e^x (x-2)}{(x-4)^2 x}","\frac{4 e^x (x-2)}{(x-4)^2 x}+25",1,"(4*E^x*(-2 + x))/((-4 + x)^2*x)","A",1
4816,1,30,21,0.3360178,"\int \frac{64 e x-64 e^4 x-16 e^2 x^3+e^{2 x} \left(e \left(4 x-2 x^2\right)+e^4 \left(-4 x+2 x^2\right)\right)+e^x \left(e^4 \left(32 x-8 x^2\right)+e \left(-32 x+8 x^2\right)+e^2 \left(4 x^3-2 x^4\right)\right)}{-64+48 e^x-12 e^{2 x}+e^{3 x}} \, dx","Integrate[(64*E*x - 64*E^4*x - 16*E^2*x^3 + E^(2*x)*(E*(4*x - 2*x^2) + E^4*(-4*x + 2*x^2)) + E^x*(E^4*(32*x - 8*x^2) + E*(-32*x + 8*x^2) + E^2*(4*x^3 - 2*x^4)))/(-64 + 48*E^x - 12*E^(2*x) + E^(3*x)),x]","\frac{e \left(e x^4-2 \left(e^3-1\right) \left(e^x-4\right) x^2\right)}{\left(e^x-4\right)^2}","\left(\frac{e x^2}{4-e^x}+e^3-1\right)^2",1,"(E*(-2*(-1 + E^3)*(-4 + E^x)*x^2 + E*x^4))/(-4 + E^x)^2","A",1
4817,1,23,23,0.2931402,"\int \frac{48+48 e^x+12 e^{2 x}+e^{\frac{4 e^3+2 x+2 x^2+e^x \left(x+x^2\right)}{2+e^x}} \left(4+8 x+e^{2 x} (1+2 x)+e^x \left(4-4 e^3+8 x\right)\right)}{4+4 e^x+e^{2 x}} \, dx","Integrate[(48 + 48*E^x + 12*E^(2*x) + E^((4*E^3 + 2*x + 2*x^2 + E^x*(x + x^2))/(2 + E^x))*(4 + 8*x + E^(2*x)*(1 + 2*x) + E^x*(4 - 4*E^3 + 8*x)))/(4 + 4*E^x + E^(2*x)),x]","e^{x^2+x+\frac{4 e^3}{e^x+2}}+12 x","e^{x^2+x+\frac{4 e^3}{e^x+2}}+12 x",1,"E^((4*E^3)/(2 + E^x) + x + x^2) + 12*x","A",1
4818,1,3,15,0.0000666,"\int 2 x \, dx","Integrate[2*x,x]","x^2","x^2+e-\sqrt[5]{5}+\frac{8}{5}",1,"x^2","A",1
4819,1,50,30,0.2180075,"\int \frac{-18 e^6 x^2+\left(6 e^3 x^2+e^6 \left(54 x+18 x^2\right) \log (3+x)\right) \log (\log (3+x))+e^3 \left(-36 x-12 x^2\right) \log (3+x) \log ^2(\log (3+x))+\left(27+e^{16-x} (-27-9 x)+15 x+2 x^2\right) \log (3+x) \log ^3(\log (3+x))}{(27+9 x) \log (3+x) \log ^3(\log (3+x))} \, dx","Integrate[(-18*E^6*x^2 + (6*E^3*x^2 + E^6*(54*x + 18*x^2)*Log[3 + x])*Log[Log[3 + x]] + E^3*(-36*x - 12*x^2)*Log[3 + x]*Log[Log[3 + x]]^2 + (27 + E^(16 - x)*(-27 - 9*x) + 15*x + 2*x^2)*Log[3 + x]*Log[Log[3 + x]]^3)/((27 + 9*x)*Log[3 + x]*Log[Log[3 + x]]^3),x]","\frac{1}{9} \left(x^2+\frac{9 e^6 x^2}{\log ^2(\log (x+3))}-\frac{6 e^3 x^2}{\log (\log (x+3))}+9 x+9 e^{16-x}\right)","e^{16-x}+x+\left(\frac{x}{3}-\frac{e^3 x}{\log (\log (x+3))}\right)^2",1,"(9*E^(16 - x) + 9*x + x^2 + (9*E^6*x^2)/Log[Log[3 + x]]^2 - (6*E^3*x^2)/Log[Log[3 + x]])/9","A",1
4820,1,15,28,0.0024667,"\int \frac{1}{128} \left(e^{2 x}-1152 x^2\right) \, dx","Integrate[(E^(2*x) - 1152*x^2)/128,x]","\frac{e^{2 x}}{256}-3 x^3","-3 \left(\frac{e}{x^2}+x\right) x^2+\frac{e^{2 x}}{256}-e^2+2",1,"E^(2*x)/256 - 3*x^3","A",1
4821,1,16,16,0.0217682,"\int \frac{e^{-18+2 \log ^{2 x}(2)} \left(-1+4 x \log ^{2 x}(2) \log (\log (2))\right)}{x^2} \, dx","Integrate[(E^(-18 + 2*Log[2]^(2*x))*(-1 + 4*x*Log[2]^(2*x)*Log[Log[2]]))/x^2,x]","\frac{e^{2 \left(\log ^{2 x}(2)-9\right)}}{x}","\frac{e^{2 \log ^{2 x}(2)-18}}{x}",1,"E^(2*(-9 + Log[2]^(2*x)))/x","A",1
4822,1,17,17,0.0115638,"\int \frac{e^8 (-4-20 x) \log ^4(4)}{3125 x+15625 x^2+31250 x^3+31250 x^4+15625 x^5+3125 x^6+\left(3125 x+12500 x^2+18750 x^3+12500 x^4+3125 x^5\right) \log (x)+\left(1250 x+3750 x^2+3750 x^3+1250 x^4\right) \log ^2(x)+\left(250 x+500 x^2+250 x^3\right) \log ^3(x)+\left(25 x+25 x^2\right) \log ^4(x)+x \log ^5(x)} \, dx","Integrate[(E^8*(-4 - 20*x)*Log[4]^4)/(3125*x + 15625*x^2 + 31250*x^3 + 31250*x^4 + 15625*x^5 + 3125*x^6 + (3125*x + 12500*x^2 + 18750*x^3 + 12500*x^4 + 3125*x^5)*Log[x] + (1250*x + 3750*x^2 + 3750*x^3 + 1250*x^4)*Log[x]^2 + (250*x + 500*x^2 + 250*x^3)*Log[x]^3 + (25*x + 25*x^2)*Log[x]^4 + x*Log[x]^5),x]","\frac{e^8 \log ^4(4)}{(5 x+\log (x)+5)^4}","\frac{e^8 \log ^4(4)}{(5 x+\log (x)+5)^4}",1,"(E^8*Log[4]^4)/(5 + 5*x + Log[x])^4","A",1
4823,1,160,32,0.5678044,"\int \frac{\exp \left(-\frac{36 x^2-12 x^2 \log \left(\frac{5}{x}\right)+x^2 \log ^2\left(\frac{5}{x}\right)+\left(108 x-30 x \log \left(\frac{5}{x}\right)+2 x \log ^2\left(\frac{5}{x}\right)\right) \log (x)+\left(81-18 \log \left(\frac{5}{x}\right)+\log ^2\left(\frac{5}{x}\right)\right) \log ^2(x)}{x^2}\right) \left(-216 x-22 x^2+\left(60 x+4 x^2\right) \log \left(\frac{5}{x}\right)-4 x \log ^2\left(\frac{5}{x}\right)+\left(-324+156 x+(72-52 x) \log \left(\frac{5}{x}\right)+(-4+4 x) \log ^2\left(\frac{5}{x}\right)\right) \log (x)+\left(288-68 \log \left(\frac{5}{x}\right)+4 \log ^2\left(\frac{5}{x}\right)\right) \log ^2(x)\right)}{x^2} \, dx","Integrate[(-216*x - 22*x^2 + (60*x + 4*x^2)*Log[5/x] - 4*x*Log[5/x]^2 + (-324 + 156*x + (72 - 52*x)*Log[5/x] + (-4 + 4*x)*Log[5/x]^2)*Log[x] + (288 - 68*Log[5/x] + 4*Log[5/x]^2)*Log[x]^2)/(E^((36*x^2 - 12*x^2*Log[5/x] + x^2*Log[5/x]^2 + (108*x - 30*x*Log[5/x] + 2*x*Log[5/x]^2)*Log[x] + (81 - 18*Log[5/x] + Log[5/x]^2)*Log[x]^2)/x^2)*x^2),x]","2\ 5^{\frac{6 \left(5 x \log (x)+3 \left(\log \left(\frac{5}{x}\right)+\log (x)\right) \left(\log \left(\frac{5}{x}\right)+\log (x)+9\right)\right)}{x^2}+12} \left(\frac{1}{x}\right)^{\frac{6 \left(5 x \log (x)+3 \left(\log \left(\frac{5}{x}\right)+\log (x)\right) \left(\log \left(\frac{5}{x}\right)+\log (x)+9\right)\right)}{x^2}} x^{-\frac{11 x+2 \log ^2\left(\frac{5}{x}\right)+108}{x}} \exp \left(-\frac{\left(x^2+\log ^2(x)+36 \log (x)+162\right) \log ^2\left(\frac{5}{x}\right)+9 \left(4 x^2+9 \log ^2(x)\right)+18 \log ^3\left(\frac{5}{x}\right)+162 \log (x) \log \left(\frac{5}{x}\right)}{x^2}\right)","2 x e^{-\left(\frac{\left(9-\log \left(\frac{5}{x}\right)\right) (x+\log (x))}{x}-3\right)^2}+\log (2)",1,"(2*5^(12 + (6*(5*x*Log[x] + 3*(Log[5/x] + Log[x])*(9 + Log[5/x] + Log[x])))/x^2)*(x^(-1))^((6*(5*x*Log[x] + 3*(Log[5/x] + Log[x])*(9 + Log[5/x] + Log[x])))/x^2))/(E^((18*Log[5/x]^3 + 162*Log[5/x]*Log[x] + Log[5/x]^2*(162 + x^2 + 36*Log[x] + Log[x]^2) + 9*(4*x^2 + 9*Log[x]^2))/x^2)*x^((108 + 11*x + 2*Log[5/x]^2)/x))","B",0
4824,1,29,29,0.176414,"\int \frac{2 e^x x+\left(4 x^2+e^x \left(-4 x+2 x^2\right)\right) \log \left(\frac{x}{2}\right)+\left(4 x^2-4 x^2 \log \left(\frac{x}{2}\right)\right) \log (x)+\left(-e^x+\left(e^x (1-x)-4 x\right) \log \left(\frac{x}{2}\right)+\left(-4 x+4 x \log \left(\frac{x}{2}\right)\right) \log (x)\right) \log (\log (\log (4)))+\left(\log \left(\frac{x}{2}\right)+\left(1-\log \left(\frac{x}{2}\right)\right) \log (x)\right) \log ^2(\log (\log (4)))}{4 x^4-4 x^3 \log (\log (\log (4)))+x^2 \log ^2(\log (\log (4)))} \, dx","Integrate[(2*E^x*x + (4*x^2 + E^x*(-4*x + 2*x^2))*Log[x/2] + (4*x^2 - 4*x^2*Log[x/2])*Log[x] + (-E^x + (E^x*(1 - x) - 4*x)*Log[x/2] + (-4*x + 4*x*Log[x/2])*Log[x])*Log[Log[Log[4]]] + (Log[x/2] + (1 - Log[x/2])*Log[x])*Log[Log[Log[4]]]^2)/(4*x^4 - 4*x^3*Log[Log[Log[4]]] + x^2*Log[Log[Log[4]]]^2),x]","\frac{\log \left(\frac{x}{2}\right) \left(\log (x)+\frac{e^x}{2 x-\log (\log (\log (4)))}\right)}{x}","\frac{\log \left(\frac{x}{2}\right) \left(\log (x)+\frac{e^x}{2 x-\log (\log (\log (4)))}\right)}{x}",1,"(Log[x/2]*(Log[x] + E^x/(2*x - Log[Log[Log[4]]])))/x","A",1
4825,1,76,28,0.0780876,"\int \frac{4 x^2-9 x^4+4 x^5+e^3 \left(-2+2 x^2\right)+\left(-4 x+4 x^2+5 x^3-3 x^4\right) \log (-1-x)}{e^3 \left(x+x^2\right)} \, dx","Integrate[(4*x^2 - 9*x^4 + 4*x^5 + E^3*(-2 + 2*x^2) + (-4*x + 4*x^2 + 5*x^3 - 3*x^4)*Log[-1 - x])/(E^3*(x + x^2)),x]","\frac{x^4-4 x^3-x^3 \log (-x-1)+4 x^2+4 x^2 \log (-x-1)+2 e^3 x-4 x \log (-x-1)-4 \log (-x-1)-2 e^3 \log (x)+4 \log (x+1)}{e^3}","x \left(\frac{(x-2)^2 (x-\log (-x-1))}{e^3}+2\right)-2 \log (x)",1,"(2*E^3*x + 4*x^2 - 4*x^3 + x^4 - 4*Log[-1 - x] - 4*x*Log[-1 - x] + 4*x^2*Log[-1 - x] - x^3*Log[-1 - x] - 2*E^3*Log[x] + 4*Log[1 + x])/E^3","B",1
4826,1,22,23,0.1912827,"\int \frac{-2+6 x-2 x^2+\left(3 x^2-x^3+(3-x) \log \left(\frac{1}{4} \left(9-6 x+x^2\right)\right)\right) \log \left(x^2+\log \left(\frac{1}{4} \left(9-6 x+x^2\right)\right)\right)}{\left(-3 x^2+x^3+(-3+x) \log \left(\frac{1}{4} \left(9-6 x+x^2\right)\right)\right) \log \left(x^2+\log \left(\frac{1}{4} \left(9-6 x+x^2\right)\right)\right)} \, dx","Integrate[(-2 + 6*x - 2*x^2 + (3*x^2 - x^3 + (3 - x)*Log[(9 - 6*x + x^2)/4])*Log[x^2 + Log[(9 - 6*x + x^2)/4]])/((-3*x^2 + x^3 + (-3 + x)*Log[(9 - 6*x + x^2)/4])*Log[x^2 + Log[(9 - 6*x + x^2)/4]]),x]","-\log \left(\log \left(x^2+\log \left(\frac{1}{4} (x-3)^2\right)\right)\right)-x","-\log \left(\log \left(x^2+\log \left(\frac{1}{4} (x-3)^2\right)\right)\right)-x+6",1,"-x - Log[Log[x^2 + Log[(-3 + x)^2/4]]]","A",1
4827,1,39,27,0.05537,"\int \frac{-72+216 x^2+72 x^5-72 x^7+4 x^9-144 x^{12}+\left(-72-72 x^3-12 x^7+432 x^{10}\right) \log (x)+\left(72 x^3+12 x^5-432 x^8\right) \log ^2(x)+\left(-4 x^3+144 x^6\right) \log ^3(x)}{-x^9+3 x^7 \log (x)-3 x^5 \log ^2(x)+x^3 \log ^3(x)} \, dx","Integrate[(-72 + 216*x^2 + 72*x^5 - 72*x^7 + 4*x^9 - 144*x^12 + (-72 - 72*x^3 - 12*x^7 + 432*x^10)*Log[x] + (72*x^3 + 12*x^5 - 432*x^8)*Log[x]^2 + (-4*x^3 + 144*x^6)*Log[x]^3)/(-x^9 + 3*x^7*Log[x] - 3*x^5*Log[x]^2 + x^3*Log[x]^3),x]","4 \left(9 x^4+\frac{18 x}{\log (x)-x^2}+\frac{9}{x^2 \left(\log (x)-x^2\right)^2}-x\right)","36 \left(x^2+\frac{1}{x \left(\log (x)-x^2\right)}\right)^2-4 x-1",1,"4*(-x + 9*x^4 + 9/(x^2*(-x^2 + Log[x])^2) + (18*x)/(-x^2 + Log[x]))","A",1
4828,1,19,29,0.1716087,"\int \frac{4 e^{e^{x+x \log (x)}+i \pi +x} \left(1+e^{x+x \log (x)} (2+\log (x))\right)}{5+5 \log (3)} \, dx","Integrate[(4*E^(E^(x + x*Log[x]) + I*Pi + x)*(1 + E^(x + x*Log[x])*(2 + Log[x])))/(5 + 5*Log[3]),x]","-\frac{4 e^{e^x x^x+x}}{5+\log (243)}","-\frac{4 e^{x+e^{x+x \log (x)}+i \pi }}{5 (-1-\log (3))}",1,"(-4*E^(x + E^x*x^x))/(5 + Log[243])","A",1
4829,1,5,5,0.000176,"\int -e^x \, dx","Integrate[-E^x,x]","-e^x","-e^x",1,"-E^x","A",1
4830,1,14,15,0.0000585,"\int \frac{1}{30} \left(6+e^{10}\right) \, dx","Integrate[(6 + E^10)/30,x]","\frac{e^{10} x}{30}+\frac{x}{5}","\frac{1}{5} \left(\frac{e^{10} x}{6}+x+1\right)",1,"x/5 + (E^10*x)/30","A",1
4831,1,23,27,0.4595866,"\int \frac{e^{\frac{2+x}{x}} (-32-16 x)+\left(16 e^{\frac{2+x}{x}} x+16 x^2\right) \log \left(e^{\frac{2+x}{x}} x+x^2\right)}{4 e^{\frac{2+x}{x}} x^3+4 x^4+\left(-4 e^{\frac{2+x}{x}} x^3-4 x^4\right) \log \left(e^{\frac{2+x}{x}} x+x^2\right)+\left(e^{\frac{2+x}{x}} x^3+x^4\right) \log ^2\left(e^{\frac{2+x}{x}} x+x^2\right)} \, dx","Integrate[(E^((2 + x)/x)*(-32 - 16*x) + (16*E^((2 + x)/x)*x + 16*x^2)*Log[E^((2 + x)/x)*x + x^2])/(4*E^((2 + x)/x)*x^3 + 4*x^4 + (-4*E^((2 + x)/x)*x^3 - 4*x^4)*Log[E^((2 + x)/x)*x + x^2] + (E^((2 + x)/x)*x^3 + x^4)*Log[E^((2 + x)/x)*x + x^2]^2),x]","-\frac{16}{x \left(\log \left(x \left(x+e^{\frac{2}{x}+1}\right)\right)-2\right)}","\frac{16}{x \left(2-\log \left(x^2+e^{\frac{x+2}{x}} x\right)\right)}",1,"-16/(x*(-2 + Log[x*(E^(1 + 2/x) + x)]))","A",1
4832,1,34,34,0.0788642,"\int \frac{2 e^{\frac{-1+x^2}{x^2}} x^2+2 x^5+e^{2 x} \left(2 e^{\frac{-1+x^2}{x^2}}+2 x^3\right)+e^x \left(-4 e^{\frac{-1+x^2}{x^2}} x-4 x^4\right)+2 \left(-2 x^3+e^x \left(x^3+x^4\right)\right) \log (\log (5))}{e^{2 x} x^3-2 e^x x^4+x^5} \, dx","Integrate[(2*E^((-1 + x^2)/x^2)*x^2 + 2*x^5 + E^(2*x)*(2*E^((-1 + x^2)/x^2) + 2*x^3) + E^x*(-4*E^((-1 + x^2)/x^2)*x - 4*x^4) + 2*(-2*x^3 + E^x*(x^3 + x^4))*Log[Log[5]])/(E^(2*x)*x^3 - 2*E^x*x^4 + x^5),x]","2 \left(\frac{1}{2} e^{1-\frac{1}{x^2}}+x-\frac{(x+2) \log (\log (5))}{e^x-x}\right)","e^{\frac{x-\frac{1}{x}}{x}}+(x+2) \left(\frac{2 \log (\log (5))}{x-e^x}+2\right)",1,"2*(E^(1 - x^(-2))/2 + x - ((2 + x)*Log[Log[5]])/(E^x - x))","A",1
4833,1,38,27,0.0633822,"\int \frac{-96+208 x^2+x^3-62 x^4-6 x^5+52 x^6+12 x^7+24 x^8-8 x^9-16 x^{10}+\left(-64+32 x^2+6 x^3-52 x^4-24 x^5-48 x^6+24 x^7+48 x^8\right) \log (x)+\left(12 x^3+24 x^4-24 x^5-48 x^6\right) \log ^2(x)+\left(8 x^3+16 x^4\right) \log ^3(x)}{x^3-6 x^5+12 x^7-8 x^9+\left(6 x^3-24 x^5+24 x^7\right) \log (x)+\left(12 x^3-24 x^5\right) \log ^2(x)+8 x^3 \log ^3(x)} \, dx","Integrate[(-96 + 208*x^2 + x^3 - 62*x^4 - 6*x^5 + 52*x^6 + 12*x^7 + 24*x^8 - 8*x^9 - 16*x^10 + (-64 + 32*x^2 + 6*x^3 - 52*x^4 - 24*x^5 - 48*x^6 + 24*x^7 + 48*x^8)*Log[x] + (12*x^3 + 24*x^4 - 24*x^5 - 48*x^6)*Log[x]^2 + (8*x^3 + 16*x^4)*Log[x]^3)/(x^3 - 6*x^5 + 12*x^7 - 8*x^9 + (6*x^3 - 24*x^5 + 24*x^7)*Log[x] + (12*x^3 - 24*x^5)*Log[x]^2 + 8*x^3*Log[x]^3),x]","x^2-\frac{8}{-2 x^2+2 \log (x)+1}+\frac{16}{x^2 \left(-2 x^2+2 \log (x)+1\right)^2}+x","\left(\frac{2}{x \left(-x^2+\log (x)+\frac{1}{2}\right)}-x\right)^2+x-2",1,"x + x^2 + 16/(x^2*(1 - 2*x^2 + 2*Log[x])^2) - 8/(1 - 2*x^2 + 2*Log[x])","A",1
4834,1,26,27,0.2521913,"\int \frac{e^{e^5} \left(e^2 \left(-36-12 x-x^2\right)+e^{x^2} \left(-36-12 x-73 x^2-24 x^3-2 x^4\right)\right)+x^{\frac{1}{6+x}} \left(e^{e^5} \left(42+13 x+x^2\right)-e^{e^5} x \log (x)\right)}{36+12 x+x^2} \, dx","Integrate[(E^E^5*(E^2*(-36 - 12*x - x^2) + E^x^2*(-36 - 12*x - 73*x^2 - 24*x^3 - 2*x^4)) + x^(6 + x)^(-1)*(E^E^5*(42 + 13*x + x^2) - E^E^5*x*Log[x]))/(36 + 12*x + x^2),x]","-e^{e^5} x \left(-x^{\frac{1}{x+6}}+e^{x^2}+e^2\right)","e^{e^5} x \left(x^{\frac{1}{x+6}}-e^{x^2}-e^2\right)",1,"-(E^E^5*x*(E^2 + E^x^2 - x^(6 + x)^(-1)))","A",1
4835,1,18,20,0.1552606,"\int \frac{e^{4 e+x}-3750 x}{e^{4 e} \left(-27+e^x\right)-1875 x^2} \, dx","Integrate[(E^(4*E + x) - 3750*x)/(E^(4*E)*(-27 + E^x) - 1875*x^2),x]","\log \left(e^{4 e} \left(e^x-27\right)-1875 x^2\right)","\log \left(625 e^{-4 e} x^2-\frac{e^x}{3}+9\right)",1,"Log[E^(4*E)*(-27 + E^x) - 1875*x^2]","A",1
4836,1,18,27,0.0019564,"\int \frac{1}{10} \left(-22 x-5 \log \left(x^2\right)\right) \, dx","Integrate[(-22*x - 5*Log[x^2])/10,x]","-\frac{11 x^2}{10}-\frac{1}{2} x \log \left(x^2\right)+x","x \left(\frac{1}{2} \left(x-\log \left(x^2\right)\right)-\frac{8 x}{5}+\frac{x+1}{x}\right)",1,"x - (11*x^2)/10 - (x*Log[x^2])/2","A",1
4837,1,18,22,0.0781143,"\int \frac{1}{2} \left(-94-188 x+94 \log (5)+e^x \left(-47-94 x-47 x^2+(47+47 x) \log (5)\right)+\left(-94+e^x (-47-47 x)\right) \log (x)\right) \, dx","Integrate[(-94 - 188*x + 94*Log[5] + E^x*(-47 - 94*x - 47*x^2 + (47 + 47*x)*Log[5]) + (-94 + E^x*(-47 - 47*x))*Log[x])/2,x]","-\frac{47}{2} \left(e^x+2\right) x \left(x+\log \left(\frac{x}{5}\right)\right)","\frac{3}{2}-\frac{47}{2} \left(e^x+2\right) x (x+\log (x)-\log (5))",1,"(-47*(2 + E^x)*x*(x + Log[x/5]))/2","A",1
4838,1,23,23,0.0431925,"\int e^{-2+2 e^{4 e^x}-2 x} x^2 \left(2 x-x^2+4 e^{4 e^x+x} x^2\right) \, dx","Integrate[E^(-2 + 2*E^(4*E^x) - 2*x)*x^2*(2*x - x^2 + 4*E^(4*E^x + x)*x^2),x]","\frac{1}{2} e^{-2 x+2 e^{4 e^x}-2} x^4","\frac{1}{2} e^{-2 x+2 e^{4 e^x}-2} x^4",1,"(E^(-2 + 2*E^(4*E^x) - 2*x)*x^4)/2","A",1
4839,1,37,37,0.202064,"\int \frac{75 x-90 x^2-30 x^4-24 x^5-3 x^8+e^x \left(125 x-25 x^2+50 x^4-10 x^5+5 x^7-x^8\right)+\left(-125+50 x-50 x^3+20 x^4-5 x^6+2 x^7\right) \log \left(\frac{1}{3} e^{\frac{3 x+e^x \left(5+x^3\right)}{5+x^3}}\right)}{100 x^2-100 x^3+25 x^4+40 x^5-40 x^6+10 x^7+4 x^8-4 x^9+x^{10}+\left(100 x-50 x^2+40 x^4-20 x^5+4 x^7-2 x^8\right) \log \left(\frac{1}{3} e^{\frac{3 x+e^x \left(5+x^3\right)}{5+x^3}}\right)+\left(25+10 x^3+x^6\right) \log ^2\left(\frac{1}{3} e^{\frac{3 x+e^x \left(5+x^3\right)}{5+x^3}}\right)} \, dx","Integrate[(75*x - 90*x^2 - 30*x^4 - 24*x^5 - 3*x^8 + E^x*(125*x - 25*x^2 + 50*x^4 - 10*x^5 + 5*x^7 - x^8) + (-125 + 50*x - 50*x^3 + 20*x^4 - 5*x^6 + 2*x^7)*Log[E^((3*x + E^x*(5 + x^3))/(5 + x^3))/3])/(100*x^2 - 100*x^3 + 25*x^4 + 40*x^5 - 40*x^6 + 10*x^7 + 4*x^8 - 4*x^9 + x^10 + (100*x - 50*x^2 + 40*x^4 - 20*x^5 + 4*x^7 - 2*x^8)*Log[E^((3*x + E^x*(5 + x^3))/(5 + x^3))/3] + (25 + 10*x^3 + x^6)*Log[E^((3*x + E^x*(5 + x^3))/(5 + x^3))/3]^2),x]","-\frac{(x-5) x}{(x-2) x-\log \left(\frac{1}{3} e^{\frac{3 x}{x^3+5}+e^x}\right)}","\frac{5-x}{-\frac{\log \left(\frac{1}{3} e^{\frac{3 x}{x^3+5}+e^x}\right)}{x}+x-2}",1,"-(((-5 + x)*x)/((-2 + x)*x - Log[E^(E^x + (3*x)/(5 + x^3))/3]))","A",1
4840,1,40,22,0.0587757,"\int \frac{425-275 x-125 x^2-25 x^3+\left(300+600 x+300 x^2\right) \log (5-x)+\left(-125-225 x-75 x^2+25 x^3\right) \log ^2(5-x)}{-5-9 x-3 x^2+x^3} \, dx","Integrate[(425 - 275*x - 125*x^2 - 25*x^3 + (300 + 600*x + 300*x^2)*Log[5 - x] + (-125 - 225*x - 75*x^2 + 25*x^3)*Log[5 - x]^2)/(-5 - 9*x - 3*x^2 + x^3),x]","\frac{25 \left(x^2-2 \left(x^2-1\right) \log (5-x)+x+(x+1)^2 \log ^2(5-x)+4\right)}{x+1}","25 (x+1) \left(\frac{2}{x+1}+\log (5-x)-1\right)^2",1,"(25*(4 + x + x^2 - 2*(-1 + x^2)*Log[5 - x] + (1 + x)^2*Log[5 - x]^2))/(1 + x)","A",1
4841,1,28,25,3.3316823,"\int \frac{-2352-532 x+292 x^2-24 x^3+\left(-392-84 x+48 x^2-4 x^3\right) \log (9 x)+(-56-28 x) \log (2+x)}{2450 x^2+525 x^3-300 x^4+25 x^5+\left(98 x^2+21 x^3-12 x^4+x^5\right) \log ^2(9 x)+\left(140 x^2+50 x^3-10 x^4\right) \log (2+x)+\left(2 x^2+x^3\right) \log ^2(2+x)+\log (9 x) \left(980 x^2+210 x^3-120 x^4+10 x^5+\left(28 x^2+10 x^3-2 x^4\right) \log (2+x)\right)} \, dx","Integrate[(-2352 - 532*x + 292*x^2 - 24*x^3 + (-392 - 84*x + 48*x^2 - 4*x^3)*Log[9*x] + (-56 - 28*x)*Log[2 + x])/(2450*x^2 + 525*x^3 - 300*x^4 + 25*x^5 + (98*x^2 + 21*x^3 - 12*x^4 + x^5)*Log[9*x]^2 + (140*x^2 + 50*x^3 - 10*x^4)*Log[2 + x] + (2*x^2 + x^3)*Log[2 + x]^2 + Log[9*x]*(980*x^2 + 210*x^3 - 120*x^4 + 10*x^5 + (28*x^2 + 10*x^3 - 2*x^4)*Log[2 + x])),x]","-\frac{4 (x-7)}{x (-5 x-(x-7) \log (9 x)+\log (x+2)+35)}","\frac{4}{x \left(\log (9 x)+\frac{\log (x+2)}{7-x}+5\right)}",1,"(-4*(-7 + x))/(x*(35 - 5*x - (-7 + x)*Log[9*x] + Log[2 + x]))","A",1
4842,1,22,18,0.0122292,"\int \left(e^x (-3-3 x)+3 x+6 e^3 x+6 x \log (x)\right) \, dx","Integrate[E^x*(-3 - 3*x) + 3*x + 6*E^3*x + 6*x*Log[x],x]","3 e^3 x^2+3 x^2 \log (x)-3 e^x x","3 x \left(e^3 x-e^x+x \log (x)\right)",1,"-3*E^x*x + 3*E^3*x^2 + 3*x^2*Log[x]","A",1
4843,1,20,26,0.0116824,"\int \frac{-4+2 x-7 x^2-4 x^3+x^4+2 x^5-2 x \log (\log (4))}{1-2 x^2+x^4} \, dx","Integrate[(-4 + 2*x - 7*x^2 - 4*x^3 + x^4 + 2*x^5 - 2*x*Log[Log[4]])/(1 - 2*x^2 + x^4),x]","x^2+\frac{5 x+\log (\log (4))}{x^2-1}+x","x^2+x-\frac{5 x+\log (\log (4))}{\left(\frac{1}{x}-x\right) x}",1,"x + x^2 + (5*x + Log[Log[4]])/(-1 + x^2)","A",1
4844,1,10,17,0.0250535,"\int \frac{-2+\log \left(-x^2\right)}{\log ^2\left(-x^2\right)} \, dx","Integrate[(-2 + Log[-x^2])/Log[-x^2]^2,x]","\frac{x}{\log \left(-x^2\right)}","\frac{x}{\log \left(-x^2\right)}+\frac{2}{e^4}+4",1,"x/Log[-x^2]","A",1
4845,1,82,32,0.960465,"\int \frac{-e^{5 x} x^5+e^{10 x} \left(-3 x^4+x^5-x^6\right)+\left(e^{10 x} \left(15 x^4-4 x^5+3 x^6\right)+e^{5 x} \left(4 x^5+5 x^6\right)\right) \log (x)}{\left(e^{5 x} x^6+e^{10 x} \left(3 x^5-x^6+x^7\right)\right) \log (x)+\left(2 x^2+e^{5 x} \left(12 x-4 x^2+4 x^3\right)+e^{10 x} \left(18-12 x+14 x^2-4 x^3+2 x^4\right)\right) \log ^2(x)} \, dx","Integrate[(-(E^(5*x)*x^5) + E^(10*x)*(-3*x^4 + x^5 - x^6) + (E^(10*x)*(15*x^4 - 4*x^5 + 3*x^6) + E^(5*x)*(4*x^5 + 5*x^6))*Log[x])/((E^(5*x)*x^6 + E^(10*x)*(3*x^5 - x^6 + x^7))*Log[x] + (2*x^2 + E^(5*x)*(12*x - 4*x^2 + 4*x^3) + E^(10*x)*(18 - 12*x + 14*x^2 - 4*x^3 + 2*x^4))*Log[x]^2),x]","-\log \left(e^{5 x} x^2-e^{5 x} x+x+3 e^{5 x}\right)+\log \left(e^{5 x} x^5+2 e^{5 x} x^2 \log (x)-2 e^{5 x} x \log (x)+2 x \log (x)+6 e^{5 x} \log (x)\right)-\log (\log (x))","\log \left(\frac{x^4}{\left(-x-\frac{e^{-5 x} x+3}{x}+1\right) \log (x)}-2\right)",1,"-Log[3*E^(5*x) + x - E^(5*x)*x + E^(5*x)*x^2] - Log[Log[x]] + Log[E^(5*x)*x^5 + 6*E^(5*x)*Log[x] + 2*x*Log[x] - 2*E^(5*x)*x*Log[x] + 2*E^(5*x)*x^2*Log[x]]","B",1
4846,1,26,28,3.2886236,"\int \frac{e^{\frac{15+e^{e^{-4+x}} (-15+3 x)}{-12+e-3 x}} \left(45+e^{e^{-4+x}} \left(-81+3 e+e^{-4+x} \left(180+9 x-9 x^2+e (-15+3 x)\right)\right)\right)}{144+e^2+e (-24-6 x)+72 x+9 x^2} \, dx","Integrate[(E^((15 + E^E^(-4 + x)*(-15 + 3*x))/(-12 + E - 3*x))*(45 + E^E^(-4 + x)*(-81 + 3*E + E^(-4 + x)*(180 + 9*x - 9*x^2 + E*(-15 + 3*x)))))/(144 + E^2 + E*(-24 - 6*x) + 72*x + 9*x^2),x]","\exp \left(\frac{3 \left(e^{e^{x-4}} (x-5)+5\right)}{e-3 (x+4)}\right)","e^{\frac{e^{e^{x-4}} (5-x)-5}{x-\frac{e}{3}+4}}",1,"E^((3*(5 + E^E^(-4 + x)*(-5 + x)))/(E - 3*(4 + x)))","A",1
4847,1,29,29,3.9509054,"\int \frac{\exp \left(\frac{\left(64-32 x+260 x^2+208 x^4+136 x^5-48 x^6-16 x^7+4 x^8\right) \log ^2(3)}{x^2}\right) \left(-128+32 x+416 x^4+408 x^5-192 x^6-80 x^7+24 x^8\right) \log ^2(3)}{x^3} \, dx","Integrate[(E^(((64 - 32*x + 260*x^2 + 208*x^4 + 136*x^5 - 48*x^6 - 16*x^7 + 4*x^8)*Log[3]^2)/x^2)*(-128 + 32*x + 416*x^4 + 408*x^5 - 192*x^6 - 80*x^7 + 24*x^8)*Log[3]^2)/x^3,x]","e^{\frac{4 \left(x^4-2 x^3-8 x^2+x-4\right)^2 \log ^2(3)}{x^2}}","\exp \left(\frac{4 (4-x)^2 \left((x+2) x^2+1\right)^2 \log ^2(3)}{x^2}\right)",1,"E^((4*(-4 + x - 8*x^2 - 2*x^3 + x^4)^2*Log[3]^2)/x^2)","A",1
4848,1,39,29,0.1692013,"\int \frac{-e^{\frac{1+30 x}{2 x^2}} x^2+e^{\frac{1+30 x}{2 x^2}} \left(-1-15 x+x^2\right) \log (x)+\left(-x^2+e^{\frac{1+30 x}{2 x^2}} \left(-1-15 x+x^2\right)\right) \log ^2(x)}{x^2 \log ^2(x)} \, dx","Integrate[(-(E^((1 + 30*x)/(2*x^2))*x^2) + E^((1 + 30*x)/(2*x^2))*(-1 - 15*x + x^2)*Log[x] + (-x^2 + E^((1 + 30*x)/(2*x^2))*(-1 - 15*x + x^2))*Log[x]^2)/(x^2*Log[x]^2),x]","\left(e^{\frac{30 x+1}{2 x^2}}-1\right) x+\frac{e^{\frac{30 x+1}{2 x^2}} x}{\log (x)}","e^{\frac{5 \left(\frac{1}{10 x}+3\right)}{x}} \left(x+\frac{x}{\log (x)}\right)-x",1,"(-1 + E^((1 + 30*x)/(2*x^2)))*x + (E^((1 + 30*x)/(2*x^2))*x)/Log[x]","A",1
4849,1,24,19,0.4507938,"\int \frac{1}{2} \left(2 e^x+e^{\frac{1}{4} \left(-40 x+7 x^2+4 x \log (2 x)\right)} (-18+7 x+2 \log (2 x))\right) \, dx","Integrate[(2*E^x + E^((-40*x + 7*x^2 + 4*x*Log[2*x])/4)*(-18 + 7*x + 2*Log[2*x]))/2,x]","2^x e^{\frac{7 x^2}{4}-10 x} x^x+e^x","e^x+e^{x \left(\frac{7 x}{4}+\log (2 x)-10\right)}",1,"E^x + 2^x*E^(-10*x + (7*x^2)/4)*x^x","A",1
4850,1,11,15,0.0030731,"\int 100 e^{-2-25 x^2} x \, dx","Integrate[100*E^(-2 - 25*x^2)*x,x]","-2 e^{-25 x^2-2}","\frac{1}{e^{10}}-2 e^{-25 x^2-2}",1,"-2*E^(-2 - 25*x^2)","A",1
4851,1,21,23,0.1013237,"\int \frac{e^4 (-42-60 x)-486 x^2-1620 x^3-2160 x^4-1440 x^5-480 x^6-64 x^7+\left(-6 e^4-810 x^2-2160 x^3-2160 x^4-960 x^5-160 x^6\right) \log (x)+\left(-540 x^2-1080 x^3-720 x^4-160 x^5\right) \log ^2(x)+\left(-180 x^2-240 x^3-80 x^4\right) \log ^3(x)+\left(-30 x^2-20 x^3\right) \log ^4(x)-2 x^2 \log ^5(x)}{243 x^2+810 x^3+1080 x^4+720 x^5+240 x^6+32 x^7+\left(405 x^2+1080 x^3+1080 x^4+480 x^5+80 x^6\right) \log (x)+\left(270 x^2+540 x^3+360 x^4+80 x^5\right) \log ^2(x)+\left(90 x^2+120 x^3+40 x^4\right) \log ^3(x)+\left(15 x^2+10 x^3\right) \log ^4(x)+x^2 \log ^5(x)} \, dx","Integrate[(E^4*(-42 - 60*x) - 486*x^2 - 1620*x^3 - 2160*x^4 - 1440*x^5 - 480*x^6 - 64*x^7 + (-6*E^4 - 810*x^2 - 2160*x^3 - 2160*x^4 - 960*x^5 - 160*x^6)*Log[x] + (-540*x^2 - 1080*x^3 - 720*x^4 - 160*x^5)*Log[x]^2 + (-180*x^2 - 240*x^3 - 80*x^4)*Log[x]^3 + (-30*x^2 - 20*x^3)*Log[x]^4 - 2*x^2*Log[x]^5)/(243*x^2 + 810*x^3 + 1080*x^4 + 720*x^5 + 240*x^6 + 32*x^7 + (405*x^2 + 1080*x^3 + 1080*x^4 + 480*x^5 + 80*x^6)*Log[x] + (270*x^2 + 540*x^3 + 360*x^4 + 80*x^5)*Log[x]^2 + (90*x^2 + 120*x^3 + 40*x^4)*Log[x]^3 + (15*x^2 + 10*x^3)*Log[x]^4 + x^2*Log[x]^5),x]","-2 \left(x-\frac{3 e^4}{x (2 x+\log (x)+3)^4}\right)","2 \left(\frac{3 e^4}{x (2 x+\log (x)+3)^4}-x\right)",1,"-2*(x - (3*E^4)/(x*(3 + 2*x + Log[x])^4))","A",1
4852,1,20,23,0.3938254,"\int \frac{3-11 x-3 x^2+72 x^5+24 x^6+\left(6 x+2 x^2\right) \log (3+x)}{3 x-5 x^2-2 x^3+12 x^6+4 x^7+\left(3 x^2+x^3\right) \log (3+x)} \, dx","Integrate[(3 - 11*x - 3*x^2 + 72*x^5 + 24*x^6 + (6*x + 2*x^2)*Log[3 + x])/(3*x - 5*x^2 - 2*x^3 + 12*x^6 + 4*x^7 + (3*x^2 + x^3)*Log[3 + x]),x]","\log \left(4 x^5-2 x+x \log (x+3)+1\right)+\log (x)","\log \left(x^2 \log (x+3)-\left(\left(2-4 x^4\right) x^2\right)+x\right)",1,"Log[x] + Log[1 - 2*x + 4*x^5 + x*Log[3 + x]]","A",1
4853,1,40,20,0.006911,"\int \left(1+3 x+4 x^3+e^3 \left(12 x+16 x^3\right)+\left(2 x+8 e^3 x\right) \log (x)\right) \, dx","Integrate[1 + 3*x + 4*x^3 + E^3*(12*x + 16*x^3) + (2*x + 8*E^3*x)*Log[x],x]","4 e^3 x^4+x^4+4 e^3 x^2+x^2+4 e^3 x^2 \log (x)+x^2 \log (x)+x","\left(4 e^3 x+x\right) x \left(x^2+\log (x)+1\right)+x+3",1,"x + x^2 + 4*E^3*x^2 + x^4 + 4*E^3*x^4 + x^2*Log[x] + 4*E^3*x^2*Log[x]","A",1
4854,1,28,25,0.0106364,"\int \frac{1}{2} \left(6 e^{6 x^2} x+(i \pi +\log (5))^2\right) \, dx","Integrate[(6*E^(6*x^2)*x + (I*Pi + Log[5])^2)/2,x]","\frac{1}{2} \left(\frac{e^{6 x^2}}{2}+x (\log (5)+i \pi )^2\right)","\frac{1}{4} \left(e^{6 x^2}+2 x (\log (5)+i \pi )^2\right)",1,"(E^(6*x^2)/2 + x*(I*Pi + Log[5])^2)/2","A",1
4855,1,12,12,0.0075653,"\int \frac{5 x+e^{7+x} x (5+5 x)}{x} \, dx","Integrate[(5*x + E^(7 + x)*x*(5 + 5*x))/x,x]","5 e^{x+7} x+5 x","5 \left(e^{x+7} x+x+2\right)",1,"5*x + 5*E^(7 + x)*x","A",1
4856,1,21,21,0.0601962,"\int \frac{10 e^{36 x^4}+x^2 \log \left(4 x^2\right)+e^{36 x^4} \left(-5+720 x^4\right) \log \left(4 x^2\right) \log \left(\log \left(4 x^2\right)\right)}{x^2 \log \left(4 x^2\right)} \, dx","Integrate[(10*E^(36*x^4) + x^2*Log[4*x^2] + E^(36*x^4)*(-5 + 720*x^4)*Log[4*x^2]*Log[Log[4*x^2]])/(x^2*Log[4*x^2]),x]","\frac{5 e^{36 x^4} \log \left(\log \left(4 x^2\right)\right)}{x}+x","\frac{5 e^{36 x^4} \log \left(\log \left(4 x^2\right)\right)}{x}+x",1,"x + (5*E^(36*x^4)*Log[Log[4*x^2]])/x","A",1
4857,1,15,21,0.0088426,"\int \left(64 x-32 x \log (2)+e^{2 x} (64-32 \log (2)-32 \log (15))-32 x \log (15)+e^x (-64-64 x+(32+32 x) \log (2)+(32+32 x) \log (15))\right) \, dx","Integrate[64*x - 32*x*Log[2] + E^(2*x)*(64 - 32*Log[2] - 32*Log[15]) - 32*x*Log[15] + E^x*(-64 - 64*x + (32 + 32*x)*Log[2] + (32 + 32*x)*Log[15]),x]","-16 \left(e^x-x\right)^2 (\log (30)-2)","16 \left(x-e^x\right)^2 (2-\log (2)-\log (15))",1,"-16*(E^x - x)^2*(-2 + Log[30])","A",1
4858,1,25,32,2.8280503,"\int \frac{2-4 x+2 x^2-6 x^3-6 x^4-4 x^5}{x^3-4 x^4-3 x^5-2 x^6+\left(-x+4 x^2+3 x^3+2 x^4\right) \log \left(\frac{-1+4 x+3 x^2+2 x^3}{2 x^2}\right)} \, dx","Integrate[(2 - 4*x + 2*x^2 - 6*x^3 - 6*x^4 - 4*x^5)/(x^3 - 4*x^4 - 3*x^5 - 2*x^6 + (-x + 4*x^2 + 3*x^3 + 2*x^4)*Log[(-1 + 4*x + 3*x^2 + 2*x^3)/(2*x^2)]),x]","\log \left(x^2-\log \left(-\frac{1}{2 x^2}+x+\frac{2}{x}+\frac{3}{2}\right)\right)","\log \left(x^2-\log \left(-\frac{\frac{1-x}{x}-x-3}{2 x}+x+1\right)\right)",1,"Log[x^2 - Log[3/2 - 1/(2*x^2) + 2/x + x]]","A",1
4859,1,24,25,0.2473875,"\int \frac{x^4+x^5+4 x^4 \log (3)+\left(x^4-12 x^5-7 x^6-24 x^5 \log (3)\right) \log (x)+5 x^4 \log ^2(x)+\left(5 x^4+6 x^5+20 x^4 \log (3)\right) \log (x) \log (\log (x))}{\log (x)} \, dx","Integrate[(x^4 + x^5 + 4*x^4*Log[3] + (x^4 - 12*x^5 - 7*x^6 - 24*x^5*Log[3])*Log[x] + 5*x^4*Log[x]^2 + (5*x^4 + 6*x^5 + 20*x^4*Log[3])*Log[x]*Log[Log[x]])/Log[x],x]","x^5 (-x (x+2+\log (81))+\log (x)+(x+1+\log (81)) \log (\log (x)))","x^5 (-x+\log (x)+(x+1+4 \log (3)) (\log (\log (x))-x))",1,"x^5*(-(x*(2 + x + Log[81])) + Log[x] + (1 + x + Log[81])*Log[Log[x]])","A",1
4860,1,26,25,2.4723666,"\int \exp \left(81 x+e^{100 x-4 x^3} x-12 e^{75 x-3 x^3} x+54 e^{50 x-2 x^3} x-108 e^{25 x-x^3} x\right) \left(81+e^{50 x-2 x^3} \left(54+2700 x-324 x^3\right)+e^{100 x-4 x^3} \left(1+100 x-12 x^3\right)+e^{75 x-3 x^3} \left(-12-900 x+108 x^3\right)+e^{25 x-x^3} \left(-108-2700 x+324 x^3\right)\right) \, dx","Integrate[E^(81*x + E^(100*x - 4*x^3)*x - 12*E^(75*x - 3*x^3)*x + 54*E^(50*x - 2*x^3)*x - 108*E^(25*x - x^3)*x)*(81 + E^(50*x - 2*x^3)*(54 + 2700*x - 324*x^3) + E^(100*x - 4*x^3)*(1 + 100*x - 12*x^3) + E^(75*x - 3*x^3)*(-12 - 900*x + 108*x^3) + E^(25*x - x^3)*(-108 - 2700*x + 324*x^3)),x]","e^{e^{-4 x^3} \left(e^{25 x}-3 e^{x^3}\right)^4 x}","e^{\left(3-e^{x \left(26-x^2\right)-x}\right)^4 x}",1,"E^(((E^(25*x) - 3*E^x^3)^4*x)/E^(4*x^3))","A",1
4861,1,88,28,0.6355941,"\int \frac{1332+e^{20+4 e^3} x^4+e^{10} \left(5751 x^2+1260 x^3+69 x^4\right)+e^{20+3 e^3} \left(-36 x^4-4 x^5\right)+e^{20} \left(6561 x^4+2916 x^5+486 x^6+36 x^7+x^8\right)+e^{2 e^3} \left(71 e^{10} x^2+e^{20} \left(486 x^4+108 x^5+6 x^6\right)\right)+e^{e^3} \left(e^{10} \left(-1278 x^2-140 x^3\right)+e^{20} \left(-2916 x^4-972 x^5-108 x^6-4 x^7\right)\right)}{1296+e^{20+4 e^3} x^4+e^{10} \left(5832 x^2+1296 x^3+72 x^4\right)+e^{20+3 e^3} \left(-36 x^4-4 x^5\right)+e^{20} \left(6561 x^4+2916 x^5+486 x^6+36 x^7+x^8\right)+e^{2 e^3} \left(72 e^{10} x^2+e^{20} \left(486 x^4+108 x^5+6 x^6\right)\right)+e^{e^3} \left(e^{10} \left(-1296 x^2-144 x^3\right)+e^{20} \left(-2916 x^4-972 x^5-108 x^6-4 x^7\right)\right)} \, dx","Integrate[(1332 + E^(20 + 4*E^3)*x^4 + E^10*(5751*x^2 + 1260*x^3 + 69*x^4) + E^(20 + 3*E^3)*(-36*x^4 - 4*x^5) + E^20*(6561*x^4 + 2916*x^5 + 486*x^6 + 36*x^7 + x^8) + E^(2*E^3)*(71*E^10*x^2 + E^20*(486*x^4 + 108*x^5 + 6*x^6)) + E^E^3*(E^10*(-1278*x^2 - 140*x^3) + E^20*(-2916*x^4 - 972*x^5 - 108*x^6 - 4*x^7)))/(1296 + E^(20 + 4*E^3)*x^4 + E^10*(5832*x^2 + 1296*x^3 + 72*x^4) + E^(20 + 3*E^3)*(-36*x^4 - 4*x^5) + E^20*(6561*x^4 + 2916*x^5 + 486*x^6 + 36*x^7 + x^8) + E^(2*E^3)*(72*E^10*x^2 + E^20*(486*x^4 + 108*x^5 + 6*x^6)) + E^E^3*(E^10*(-1296*x^2 - 144*x^3) + E^20*(-2916*x^4 - 972*x^5 - 108*x^6 - 4*x^7))),x]","\frac{x \left(e^{10} (x+9)^2 x^2-2 e^{10+e^3} (x+9) x^2+e^{2 \left(5+e^3\right)} x^2+37\right)}{e^{10} (x+9)^2 x^2-2 e^{10+e^3} (x+9) x^2+e^{2 \left(5+e^3\right)} x^2+36}","\frac{x}{e^{10} \left(-x+e^{e^3}-9\right)^2 x^2+36}+x-1",1,"(x*(37 + E^(2*(5 + E^3))*x^2 - 2*E^(10 + E^3)*x^2*(9 + x) + E^10*x^2*(9 + x)^2))/(36 + E^(2*(5 + E^3))*x^2 - 2*E^(10 + E^3)*x^2*(9 + x) + E^10*x^2*(9 + x)^2)","B",1
4862,1,18,27,0.5323536,"\int \frac{-88-22 x+x^2}{5808+396 x-216 x^2+12 x^3+\left(528 x+84 x^2-12 x^3\right) \log (4+x)+\left(12 x^2+3 x^3\right) \log ^2(4+x)} \, dx","Integrate[(-88 - 22*x + x^2)/(5808 + 396*x - 216*x^2 + 12*x^3 + (528*x + 84*x^2 - 12*x^3)*Log[4 + x] + (12*x^2 + 3*x^3)*Log[4 + x]^2),x]","-\frac{x}{3 (-2 x+x \log (x+4)+22)}","\frac{x}{3 (3 x-5 (x+3)+x (4-\log (x+4))-7)}",1,"-1/3*x/(22 - 2*x + x*Log[4 + x])","A",1
4863,1,47,31,0.3778098,"\int \exp \left(25+e^2+e^{2 e^3+2 e^4}-x-4 e^{e^3+2 e^4} x+4 e^{2 e^4} x^2\right) \left(-1-4 e^{e^3+2 e^4}+8 e^{2 e^4} x\right) \, dx","Integrate[E^(25 + E^2 + E^(2*E^3 + 2*E^4) - x - 4*E^(E^3 + 2*E^4)*x + 4*E^(2*E^4)*x^2)*(-1 - 4*E^(E^3 + 2*E^4) + 8*E^(2*E^4)*x),x]","\exp \left(4 e^{2 e^4} x^2-\left(1+4 e^{e^3+2 e^4}\right) x+e^{2 e^3 (1+e)}+e^2+25\right)","e^{e^{2 e^4} \left(2 x-e^{e^3}\right)^2-x+e^2+25}",1,"E^(25 + E^2 + E^(2*E^3*(1 + E)) - (1 + 4*E^(E^3 + 2*E^4))*x + 4*E^(2*E^4)*x^2)","A",1
4864,1,15,15,0.1107818,"\int \frac{4-98 x^2+8 x^2 \log \left(\frac{x}{4}\right)}{-49 x+4 x \log \left(\frac{x}{4}\right)} \, dx","Integrate[(4 - 98*x^2 + 8*x^2*Log[x/4])/(-49*x + 4*x*Log[x/4]),x]","x^2+\log \left(49-4 \log \left(\frac{x}{4}\right)\right)","x^2+\log \left(\log \left(\frac{x}{4}\right)-\frac{49}{4}\right)",1,"x^2 + Log[49 - 4*Log[x/4]]","A",1
4865,1,33,27,0.1028377,"\int \frac{32-72 x+72 x^2-30 x^3+4 x^4+\left(8 x-20 x^2+2 x^3+2 x^4\right) \log \left(x^2\right)}{\left(16 x-36 x^2+36 x^3-15 x^4+2 x^5\right) \log \left(x^2\right)} \, dx","Integrate[(32 - 72*x + 72*x^2 - 30*x^3 + 4*x^4 + (8*x - 20*x^2 + 2*x^3 + 2*x^4)*Log[x^2])/((16*x - 36*x^2 + 36*x^3 - 15*x^4 + 2*x^5)*Log[x^2]),x]","-\log \left(2 x^2-3 x+2\right)+\log \left(\log \left(x^2\right)\right)+\log (2-x)+2 \log (4-x)","\log \left(\frac{(x-4)^2 \log \left(x^2\right)}{2 x-\frac{4}{2-x}+1}\right)",1,"Log[2 - x] + 2*Log[4 - x] - Log[2 - 3*x + 2*x^2] + Log[Log[x^2]]","A",1
4866,1,21,21,0.8656865,"\int \frac{\left(2+e^x+x\right)^{\frac{1}{2 \log \left(\frac{1}{4} (-12+x)\right)}} \left(\left(-12+e^x (-12+x)+x\right) \log \left(\frac{1}{4} (-12+x)\right)+\left(-2-e^x-x\right) \log \left(2+e^x+x\right)\right)}{\left(-48-20 x+2 x^2+e^x (-24+2 x)\right) \log ^2\left(\frac{1}{4} (-12+x)\right)} \, dx","Integrate[((2 + E^x + x)^(1/(2*Log[(-12 + x)/4]))*((-12 + E^x*(-12 + x) + x)*Log[(-12 + x)/4] + (-2 - E^x - x)*Log[2 + E^x + x]))/((-48 - 20*x + 2*x^2 + E^x*(-24 + 2*x))*Log[(-12 + x)/4]^2),x]","\left(x+e^x+2\right)^{\frac{1}{2 \log \left(\frac{x}{4}-3\right)}}","\left(x+e^x+2\right)^{\frac{1}{2 \log \left(\frac{x}{4}-3\right)}}",1,"(2 + E^x + x)^(1/(2*Log[-3 + x/4]))","A",1
4867,1,124,30,1.8882146,"\int \frac{5 x^3+135 e^{12-3 e^x} x^3+135 e^{8-2 e^x} x^3+45 e^{4-e^x} x^3+\exp \left(\frac{2}{5 x^2+45 e^{8-2 e^x} x^2+30 e^{4-e^x} x^2}\right) \left(-4+e^{4-e^x} \left(-12+12 e^x x\right)\right)+\exp \left(\frac{1}{5 x^2+45 e^{8-2 e^x} x^2+30 e^{4-e^x} x^2}\right) \left(-8+e^{4-e^x} \left(-24+24 e^x x\right)\right)}{5 x^3+135 e^{12-3 e^x} x^3+135 e^{8-2 e^x} x^3+45 e^{4-e^x} x^3} \, dx","Integrate[(5*x^3 + 135*E^(12 - 3*E^x)*x^3 + 135*E^(8 - 2*E^x)*x^3 + 45*E^(4 - E^x)*x^3 + E^(2/(5*x^2 + 45*E^(8 - 2*E^x)*x^2 + 30*E^(4 - E^x)*x^2))*(-4 + E^(4 - E^x)*(-12 + 12*E^x*x)) + E^(5*x^2 + 45*E^(8 - 2*E^x)*x^2 + 30*E^(4 - E^x)*x^2)^(-1)*(-8 + E^(4 - E^x)*(-24 + 24*E^x*x)))/(5*x^3 + 135*E^(12 - 3*E^x)*x^3 + 135*E^(8 - 2*E^x)*x^3 + 45*E^(4 - E^x)*x^3),x]","\frac{1}{5} \left(5 \exp \left(\frac{2}{5 x^2}-\frac{12 e^4}{5 x^2 \left(e^{e^x}+3 e^4\right)}+\frac{18 e^8}{5 x^2 \left(e^{e^x}+3 e^4\right)^2}\right)+20 \exp \left(\frac{1}{5 x^2}-\frac{6 e^4}{5 x^2 \left(e^{e^x}+3 e^4\right)}+\frac{9 e^8}{5 x^2 \left(e^{e^x}+3 e^4\right)^2}\right)+5 x\right)","\left(e^{\frac{1}{5 \left(3 e^{4-e^x}+1\right)^2 x^2}}+2\right)^2+x",1,"(5*E^(2/(5*x^2) + (18*E^8)/(5*(3*E^4 + E^E^x)^2*x^2) - (12*E^4)/(5*(3*E^4 + E^E^x)*x^2)) + 20*E^(1/(5*x^2) + (9*E^8)/(5*(3*E^4 + E^E^x)^2*x^2) - (6*E^4)/(5*(3*E^4 + E^E^x)*x^2)) + 5*x)/5","B",1
4868,1,20,20,0.1984677,"\int \frac{-648+474 x-60 x^2+2 x^3+\left(288-72 x+4 x^2\right) \log \left(\frac{1}{3} (-12+x)\right)+(-24+2 x) \log ^2\left(\frac{1}{3} (-12+x)\right)}{-972+297 x-30 x^2+x^3+\left(216-42 x+2 x^2\right) \log \left(\frac{1}{3} (-12+x)\right)+(-12+x) \log ^2\left(\frac{1}{3} (-12+x)\right)} \, dx","Integrate[(-648 + 474*x - 60*x^2 + 2*x^3 + (288 - 72*x + 4*x^2)*Log[(-12 + x)/3] + (-24 + 2*x)*Log[(-12 + x)/3]^2)/(-972 + 297*x - 30*x^2 + x^3 + (216 - 42*x + 2*x^2)*Log[(-12 + x)/3] + (-12 + x)*Log[(-12 + x)/3]^2),x]","2 \left(x+\frac{6 x}{x+\log \left(\frac{x}{3}-4\right)-9}\right)","2 x+\frac{12 x}{x+\log \left(\frac{x}{3}-4\right)-9}",1,"2*(x + (6*x)/(-9 + x + Log[-4 + x/3]))","A",1
4869,1,28,27,2.3435803,"\int \frac{e^{-5-x} \left(-1+x-2 x^2+x^3-(-1+x) \log \left(\frac{7}{4}\right)+e^{5+x} \left(1-6 x+11 x^2-6 x^3+x^4-\left(2-6 x+2 x^2\right) \log \left(\frac{7}{4}\right)+\log ^2\left(\frac{7}{4}\right)\right)\right)}{1-6 x+11 x^2-6 x^3+x^4-\left(2-6 x+2 x^2\right) \log \left(\frac{7}{4}\right)+\log ^2\left(\frac{7}{4}\right)} \, dx","Integrate[(E^(-5 - x)*(-1 + x - 2*x^2 + x^3 - (-1 + x)*Log[7/4] + E^(5 + x)*(1 - 6*x + 11*x^2 - 6*x^3 + x^4 - (2 - 6*x + 2*x^2)*Log[7/4] + Log[7/4]^2)))/(1 - 6*x + 11*x^2 - 6*x^3 + x^4 - (2 - 6*x + 2*x^2)*Log[7/4] + Log[7/4]^2),x]","x-\frac{e^{-x-5} x}{x^2-3 x+1-\log \left(\frac{7}{4}\right)}","\frac{e^{-x-5} x}{-x^2+3 x-1+\log \left(\frac{7}{4}\right)}+x",1,"x - (E^(-5 - x)*x)/(1 - 3*x + x^2 - Log[7/4])","A",1
4870,1,19,17,0.0026157,"\int -\frac{40}{40 x+11 x^2} \, dx","Integrate[-40/(40*x + 11*x^2),x]","-40 \left(\frac{\log (x)}{40}-\frac{1}{40} \log (11 x+40)\right)","\log \left(\frac{4 \left(\frac{11 x}{10}+4\right)}{x \log (4)}\right)",1,"-40*(Log[x]/40 - Log[40 + 11*x]/40)","A",1
4871,1,38,26,0.0160549,"\int \frac{1}{4} \left(-8 x-12 x^2+e^4 \left(-4 x-3 x^2\right)+e^4 (-4-4 x) \log (5)\right) \, dx","Integrate[(-8*x - 12*x^2 + E^4*(-4*x - 3*x^2) + E^4*(-4 - 4*x)*Log[5])/4,x]","-\frac{1}{4} \left(4+e^4\right) x^3-\frac{1}{2} x^2 \left(2+e^4 (1+\log (5))\right)-e^4 x \log (5)","2-x \left(x^2+x+\frac{1}{4} e^4 (x+2) (x+2 \log (5))\right)",1,"-1/4*((4 + E^4)*x^3) - E^4*x*Log[5] - (x^2*(2 + E^4*(1 + Log[5])))/2","A",1
4872,1,38,33,0.6040737,"\int \frac{e^x \left(-2-2 x+2 x^2+2 x^3\right)+e^{\frac{5 e^{e^x} x-2 x^2-2 x^3}{2+2 x}} \left(e^x \left(2+8 x+10 x^2+4 x^3\right)+e^{e^x} \left(-5 e^x+e^{2 x} \left(-5 x-5 x^2\right)\right)\right)}{8 x^2+16 x^3+8 x^4+e^{\frac{2 \left(5 e^{e^x} x-2 x^2-2 x^3\right)}{2+2 x}} \left(8+16 x+8 x^2\right)+e^{\frac{5 e^{e^x} x-2 x^2-2 x^3}{2+2 x}} \left(16 x+32 x^2+16 x^3\right)} \, dx","Integrate[(E^x*(-2 - 2*x + 2*x^2 + 2*x^3) + E^((5*E^E^x*x - 2*x^2 - 2*x^3)/(2 + 2*x))*(E^x*(2 + 8*x + 10*x^2 + 4*x^3) + E^E^x*(-5*E^x + E^(2*x)*(-5*x - 5*x^2))))/(8*x^2 + 16*x^3 + 8*x^4 + E^((2*(5*E^E^x*x - 2*x^2 - 2*x^3))/(2 + 2*x))*(8 + 16*x + 8*x^2) + E^((5*E^E^x*x - 2*x^2 - 2*x^3)/(2 + 2*x))*(16*x + 32*x^2 + 16*x^3)),x]","\frac{e^{x^2+x}}{4 \left(e^{x^2} x+e^{\frac{5 e^{e^x} x}{2 (x+1)}}\right)}","\frac{e^x}{4 \left(x+e^{x \left(\frac{5 e^{e^x}}{2 (x+1)}-x\right)}\right)}",1,"E^(x + x^2)/(4*(E^((5*E^E^x*x)/(2*(1 + x))) + E^x^2*x))","A",1
4873,1,25,29,0.0576939,"\int \frac{-135+750 x-81 x^2+477 x^3-150 x^4+\left(-810 x^2+2655 x^3-1125 x^4+\left(-162 x^2+531 x^3-225 x^4\right) \log \left(\frac{1}{9} \left(-9 x+25 x^2\right)\right)\right) \log \left(5+\log \left(\frac{1}{9} \left(-9 x+25 x^2\right)\right)\right)}{-45 x+125 x^2+\left(-9 x+25 x^2\right) \log \left(\frac{1}{9} \left(-9 x+25 x^2\right)\right)} \, dx","Integrate[(-135 + 750*x - 81*x^2 + 477*x^3 - 150*x^4 + (-810*x^2 + 2655*x^3 - 1125*x^4 + (-162*x^2 + 531*x^3 - 225*x^4)*Log[(-9*x + 25*x^2)/9])*Log[5 + Log[(-9*x + 25*x^2)/9]])/(-45*x + 125*x^2 + (-9*x + 25*x^2)*Log[(-9*x + 25*x^2)/9]),x]","-3 \left((x-3) x^2-5\right) \log \left(\log \left(\frac{1}{9} x (25 x-9)\right)+5\right)","3 \left(5-(x-3) x^2\right) \log \left(\log \left(\frac{25 x^2}{9}-x\right)+5\right)-3",1,"-3*(-5 + (-3 + x)*x^2)*Log[5 + Log[(x*(-9 + 25*x))/9]]","A",1
4874,1,15,21,5.0184985,"\int \frac{4+4 x+2 x^2}{-2 x^2-x^3+\left(2 x+x^2\right) \log \left(\frac{4+2 x}{x}\right)} \, dx","Integrate[(4 + 4*x + 2*x^2)/(-2*x^2 - x^3 + (2*x + x^2)*Log[(4 + 2*x)/x]),x]","-2 \log \left(x-\log \left(\frac{4}{x}+2\right)\right)","\log \left(\frac{3 \log (3)}{\left(\log \left(\frac{2 x+4}{x}\right)-x\right)^2}\right)",1,"-2*Log[x - Log[2 + 4/x]]","A",1
4875,1,21,21,0.4056387,"\int e^{-x-e^{-x} \left(10 x^2+2 x^3\right) \log ^2(5)} \left(e^x+\left(-20 x^2+4 x^3+2 x^4\right) \log ^2(5)\right) \, dx","Integrate[E^(-x - ((10*x^2 + 2*x^3)*Log[5]^2)/E^x)*(E^x + (-20*x^2 + 4*x^3 + 2*x^4)*Log[5]^2),x]","x e^{-2 e^{-x} x^2 (x+5) \log ^2(5)}","x e^{-2 e^{-x} x^2 (x+5) \log ^2(5)}",1,"x/E^((2*x^2*(5 + x)*Log[5]^2)/E^x)","A",1
4876,1,47,28,0.1014538,"\int \frac{-39-83 x+24 x^2+43 x^3-4 x^5+\left(18 x+3 x^2-9 x^3-3 x^4\right) \log \left(-3+x+x^2\right)}{-15+5 x+5 x^2} \, dx","Integrate[(-39 - 83*x + 24*x^2 + 43*x^3 - 4*x^5 + (18*x + 3*x^2 - 9*x^3 - 3*x^4)*Log[-3 + x + x^2])/(-15 + 5*x + 5*x^2),x]","\frac{1}{5} \left(-x^4+2 x^3+16 x^2-3 x^2 \log \left(x^2+x-3\right)-x^3 \log \left(x^2+x-3\right)+13 x\right)","\frac{1}{5} (x+3) \left(x^2 \left(-\log \left(x^2+x-3\right)-x+5\right)+x+10\right)",1,"(13*x + 16*x^2 + 2*x^3 - x^4 - 3*x^2*Log[-3 + x + x^2] - x^3*Log[-3 + x + x^2])/5","A",1
4877,1,26,22,0.0565461,"\int e^{-x} \left(-18+x-x^2+e^5 \left(20-18 x-x^2\right)\right) \, dx","Integrate[(-18 + x - x^2 + E^5*(20 - 18*x - x^2))/E^x,x]","e^{-x} \left(\left(1+e^5\right) x^2+\left(1+20 e^5\right) x+19\right)","e^{-x} \left(x^2+(x+20) \left(e^5 x+1\right)-1\right)",1,"(19 + (1 + 20*E^5)*x + (1 + E^5)*x^2)/E^x","A",1
4878,1,8,17,0.0027084,"\int \frac{-1+e^x x}{x} \, dx","Integrate[(-1 + E^x*x)/x,x]","e^x-\log (x)","x+e^x-\log \left(e^x x\right)+3+\log (\log (5))",1,"E^x - Log[x]","A",1
4879,1,29,24,1.2955987,"\int \frac{e^{1+e^{x^2} x+e^{x^2} \log \left(\frac{x^2}{256+x^2}\right)} \left(e^{x^2} \left(512+256 x+513 x^3+2 x^5\right)+e^{x^2} \left(512 x^2+2 x^4\right) \log \left(\frac{x^2}{256+x^2}\right)\right)}{256 x+x^3} \, dx","Integrate[(E^(1 + E^x^2*x + E^x^2*Log[x^2/(256 + x^2)])*(E^x^2*(512 + 256*x + 513*x^3 + 2*x^5) + E^x^2*(512*x^2 + 2*x^4)*Log[x^2/(256 + x^2)]))/(256*x + x^3),x]","e^{e^{x^2} x+1} \left(\frac{x^2}{x^2+256}\right)^{e^{x^2}}","e^{e^{x^2} \left(\log \left(\frac{x^2}{x^2+256}\right)+x\right)+1}",1,"E^(1 + E^x^2*x)*(x^2/(256 + x^2))^E^x^2","A",1
4880,1,19,28,0.298089,"\int \frac{78+26 x+e^x \left(-6-5 x-2 x^2\right)+(-12-4 x) \log (3)}{169 x^3+e^{2 x} x^3-52 x^3 \log (3)+4 x^3 \log ^2(3)+e^x \left(-26 x^3+4 x^3 \log (3)\right)} \, dx","Integrate[(78 + 26*x + E^x*(-6 - 5*x - 2*x^2) + (-12 - 4*x)*Log[3])/(169*x^3 + E^(2*x)*x^3 - 52*x^3*Log[3] + 4*x^3*Log[3]^2 + E^x*(-26*x^3 + 4*x^3*Log[3])),x]","-\frac{-2 x-3}{x^2 \left(e^x-13+\log (9)\right)}","\frac{2 x+3}{x^2 \left(2 x+e^x-2 (x+4-\log (3))-5\right)}",1,"-((-3 - 2*x)/(x^2*(-13 + E^x + Log[9])))","A",1
4881,1,24,24,0.392355,"\int \frac{\exp \left(\frac{11 e^{\frac{-4+9 x}{3 x}}}{8+x}+\frac{-4+9 x}{3 x}\right) \left(352+44 x-33 x^2\right)}{576 x^2+144 x^3+9 x^4} \, dx","Integrate[(E^((11*E^((-4 + 9*x)/(3*x)))/(8 + x) + (-4 + 9*x)/(3*x))*(352 + 44*x - 33*x^2))/(576*x^2 + 144*x^3 + 9*x^4),x]","\frac{1}{3} e^{\frac{11 e^{3-\frac{4}{3 x}}}{x+8}}","\frac{1}{3} e^{\frac{11 e^{3-\frac{4}{3 x}}}{x+8}}",1,"E^((11*E^(3 - 4/(3*x)))/(8 + x))/3","A",1
4882,1,19,19,0.4685064,"\int \frac{-2 e^x x+\left(16+8 e^x\right) \log \left(18+9 e^x\right)+\left(4+2 e^x\right) \log \left(18+9 e^x\right) \log \left(\log \left(18+9 e^x\right)\right)}{\left(160+80 x+10 x^2+e^x \left(80+40 x+5 x^2\right)\right) \log \left(18+9 e^x\right)+\left(80+20 x+e^x (40+10 x)\right) \log \left(18+9 e^x\right) \log \left(\log \left(18+9 e^x\right)\right)+\left(10+5 e^x\right) \log \left(18+9 e^x\right) \log ^2\left(\log \left(18+9 e^x\right)\right)} \, dx","Integrate[(-2*E^x*x + (16 + 8*E^x)*Log[18 + 9*E^x] + (4 + 2*E^x)*Log[18 + 9*E^x]*Log[Log[18 + 9*E^x]])/((160 + 80*x + 10*x^2 + E^x*(80 + 40*x + 5*x^2))*Log[18 + 9*E^x] + (80 + 20*x + E^x*(40 + 10*x))*Log[18 + 9*E^x]*Log[Log[18 + 9*E^x]] + (10 + 5*E^x)*Log[18 + 9*E^x]*Log[Log[18 + 9*E^x]]^2),x]","\frac{2 x}{5 \left(x+\log \left(\log \left(9 \left(e^x+2\right)\right)\right)+4\right)}","\frac{2 x}{5 \left(x+\log \left(\log \left(9 \left(e^x+2\right)\right)\right)+4\right)}",1,"(2*x)/(5*(4 + x + Log[Log[9*(2 + E^x)]]))","A",1
4883,1,20,20,0.1967276,"\int \frac{2+5 x^2+(-2+10 x) \log (x)+5 \log ^2(x)}{-2 x^2+5 x^3+\left(-2 x+10 x^2\right) \log (x)+5 x \log ^2(x)} \, dx","Integrate[(2 + 5*x^2 + (-2 + 10*x)*Log[x] + 5*Log[x]^2)/(-2*x^2 + 5*x^3 + (-2*x + 10*x^2)*Log[x] + 5*x*Log[x]^2),x]","\log (x)+\log (-5 x-5 \log (x)+2)-\log (x+\log (x))","\log \left(\frac{5}{3} \left(\frac{2 x}{5 (x+\log (x))}-x\right)\right)",1,"Log[x] + Log[2 - 5*x - 5*Log[x]] - Log[x + Log[x]]","A",1
4884,1,43,25,0.0130781,"\int \frac{-2 e^{5/2}-3 e^5}{4 x^2+e^5 \left(121+66 x+9 x^2\right)+e^{5/2} \left(44 x+12 x^2\right)} \, dx","Integrate[(-2*E^(5/2) - 3*E^5)/(4*x^2 + E^5*(121 + 66*x + 9*x^2) + E^(5/2)*(44*x + 12*x^2)),x]","-\frac{-2 e^{5/2}-3 e^5}{\left(2+3 e^{5/2}\right) \left(2 x+e^{5/2} (3 x+11)\right)}","\frac{1}{2 \left(\frac{x}{e^{5/2}}+x+\frac{x+1}{2}+5\right)}-4",1,"-((-2*E^(5/2) - 3*E^5)/((2 + 3*E^(5/2))*(2*x + E^(5/2)*(11 + 3*x))))","A",1
4885,1,170,25,0.4592466,"\int \frac{-32 e x^5+32 x^6+e^{8 x^2} \left(-32 x^2+256 x^4+e^2 \left(-64+256 x^2\right)+e \left(96 x-512 x^3\right)\right)+e^{6 x^2} \left(64 x^3-768 x^5+e^2 \left(192 x-768 x^3\right)+e \left(-256 x^2+1536 x^4\right)\right)+e^{4 x^2} \left(768 x^6+e^2 \left(-192 x^2+768 x^4\right)+e \left(192 x^3-1536 x^5\right)\right)+e^{2 x^2} \left(-64 x^5+512 e x^6-256 x^7+e^2 \left(64 x^3-256 x^5\right)\right)}{x^5} \, dx","Integrate[(-32*E*x^5 + 32*x^6 + E^(8*x^2)*(-32*x^2 + 256*x^4 + E^2*(-64 + 256*x^2) + E*(96*x - 512*x^3)) + E^(6*x^2)*(64*x^3 - 768*x^5 + E^2*(192*x - 768*x^3) + E*(-256*x^2 + 1536*x^4)) + E^(4*x^2)*(768*x^6 + E^2*(-192*x^2 + 768*x^4) + E*(192*x^3 - 1536*x^5)) + E^(2*x^2)*(-64*x^5 + 512*E*x^6 - 256*x^7 + E^2*(64*x^3 - 256*x^5)))/x^5,x]","32 \left(\frac{x^2}{2}-2 e^{2 x^2} x+3 e^{4 x^2}+4 e^{2 x^2+1}-\frac{2 e^{6 x^2}}{x}-\frac{2 e^{2 x^2+2}}{x}-\frac{6 e^{4 x^2+1}}{x}+\frac{e^{8 x^2}}{2 x^2}+\frac{3 e^{4 x^2+2}}{x^2}+\frac{4 e^{6 x^2+1}}{x^2}+\frac{e^{8 x^2+2}}{2 x^4}-\frac{2 e^{6 x^2+2}}{x^3}-\frac{e^{8 x^2+1}}{x^3}-e x\right)","\frac{16 (e-x)^2 \left(x-e^{2 x^2}\right)^4}{x^4}",1,"32*(3*E^(4*x^2) + 4*E^(1 + 2*x^2) + E^(2 + 8*x^2)/(2*x^4) - (2*E^(2 + 6*x^2))/x^3 - E^(1 + 8*x^2)/x^3 + E^(8*x^2)/(2*x^2) + (3*E^(2 + 4*x^2))/x^2 + (4*E^(1 + 6*x^2))/x^2 - (2*E^(6*x^2))/x - (2*E^(2 + 2*x^2))/x - (6*E^(1 + 4*x^2))/x - E*x - 2*E^(2*x^2)*x + x^2/2)","B",1
4886,1,25,30,0.060349,"\int \frac{\left(-\frac{1}{-3 e^4+3 e^5+3 x}\right)^{x/4} \left(-4 e^4+4 e^5+4 x-x^2+\left(-e^4 x+e^5 x+x^2\right) \log \left(-\frac{1}{-3 e^4+3 e^5+3 x}\right)\right)}{-e^4+e^5+x} \, dx","Integrate[((-(-3*E^4 + 3*E^5 + 3*x)^(-1))^(x/4)*(-4*E^4 + 4*E^5 + 4*x - x^2 + (-(E^4*x) + E^5*x + x^2)*Log[-(-3*E^4 + 3*E^5 + 3*x)^(-1)]))/(-E^4 + E^5 + x),x]","4 \left(\frac{1}{-3 x-3 e^5+3 e^4}\right)^{x/4} x","4\ 3^{-x/4} \left(\frac{1}{-x-e^5+e^4}\right)^{x/4} x",1,"4*((3*E^4 - 3*E^5 - 3*x)^(-1))^(x/4)*x","A",1
4887,1,24,25,0.2607614,"\int \frac{-32 x-4 e^x x-4 x^2+\left(16+12 x+2 x^2+e^x \left(2+3 x+x^2\right)\right) \log \left(16+16 x+4 x^2\right)+e^{x^2} \left(4 x+2 x^2\right) \log ^3\left(16+16 x+4 x^2\right)}{(2+x) \log ^3\left(16+16 x+4 x^2\right)} \, dx","Integrate[(-32*x - 4*E^x*x - 4*x^2 + (16 + 12*x + 2*x^2 + E^x*(2 + 3*x + x^2))*Log[16 + 16*x + 4*x^2] + E^x^2*(4*x + 2*x^2)*Log[16 + 16*x + 4*x^2]^3)/((2 + x)*Log[16 + 16*x + 4*x^2]^3),x]","e^{x^2}+\frac{x \left(x+e^x+8\right)}{\log ^2\left(4 (x+2)^2\right)}","e^{x^2}+\frac{x \left(x+e^x+8\right)}{\log ^2\left((2 x+4)^2\right)}+2",1,"E^x^2 + (x*(8 + E^x + x))/Log[4*(2 + x)^2]^2","A",1
4888,1,23,29,0.103042,"\int \frac{\exp \left(\frac{324-72 x+4 x^2+4 e^6 x^2+e^3 \left(72 x-8 x^2\right)}{x^4}\right) \left(-2592+1728 x-232 x^2+8 x^3-x^5+e^3 \left(-432 x+248 x^2-16 x^3\right)+e^6 \left(-16 x^2+8 x^3\right)\right)}{x^5} \, dx","Integrate[(E^((324 - 72*x + 4*x^2 + 4*E^6*x^2 + E^3*(72*x - 8*x^2))/x^4)*(-2592 + 1728*x - 232*x^2 + 8*x^3 - x^5 + E^3*(-432*x + 248*x^2 - 16*x^3) + E^6*(-16*x^2 + 8*x^3)))/x^5,x]","-e^{\frac{4 \left(\left(e^3-1\right) x+9\right)^2}{x^4}} (x-2)","e^{\frac{4 \left(-\frac{9}{x}-e^3+1\right)^2}{x^2}} (2-x)-2",1,"-(E^((4*(9 + (-1 + E^3)*x)^2)/x^4)*(-2 + x))","A",1
4889,1,22,25,0.634649,"\int \frac{10 x-6 x^5+e^x \left(-5 x+4 x^4-x^5\right)+e^{\log ^2(x)} \left(4 x^4+\left(-10-2 x^4\right) \log (x)\right)}{25 x+10 x^5+x^9} \, dx","Integrate[(10*x - 6*x^5 + E^x*(-5*x + 4*x^4 - x^5) + E^Log[x]^2*(4*x^4 + (-10 - 2*x^4)*Log[x]))/(25*x + 10*x^5 + x^9),x]","-\frac{-2 x+e^x+e^{\log ^2(x)}}{x^4+5}","\frac{2 x-e^x-e^{\log ^2(x)}}{x^4+5}",1,"-((E^x + E^Log[x]^2 - 2*x)/(5 + x^4))","A",1
4890,1,25,24,0.1108877,"\int \frac{2+x-2 x^2-x \log (16)+\left(-x+x^2+(-1+x) \log (16)-\log \left(x^2\right)\right) \log \left(x-x^2+(1-x) \log (16)+\log \left(x^2\right)\right) \log \left(\log \left(x-x^2+(1-x) \log (16)+\log \left(x^2\right)\right)\right)+\left(-x+x^2+(-1+x) \log (16)-\log \left(x^2\right)\right) \log \left(x-x^2+(1-x) \log (16)+\log \left(x^2\right)\right) \log \left(\log \left(x-x^2+(1-x) \log (16)+\log \left(x^2\right)\right)\right) \log \left(\log \left(\log \left(x-x^2+(1-x) \log (16)+\log \left(x^2\right)\right)\right)\right)}{\left(x^3-x^4+\left(x^2-x^3\right) \log (16)+x^2 \log \left(x^2\right)\right) \log \left(x-x^2+(1-x) \log (16)+\log \left(x^2\right)\right) \log \left(\log \left(x-x^2+(1-x) \log (16)+\log \left(x^2\right)\right)\right)} \, dx","Integrate[(2 + x - 2*x^2 - x*Log[16] + (-x + x^2 + (-1 + x)*Log[16] - Log[x^2])*Log[x - x^2 + (1 - x)*Log[16] + Log[x^2]]*Log[Log[x - x^2 + (1 - x)*Log[16] + Log[x^2]]] + (-x + x^2 + (-1 + x)*Log[16] - Log[x^2])*Log[x - x^2 + (1 - x)*Log[16] + Log[x^2]]*Log[Log[x - x^2 + (1 - x)*Log[16] + Log[x^2]]]*Log[Log[Log[x - x^2 + (1 - x)*Log[16] + Log[x^2]]]])/((x^3 - x^4 + (x^2 - x^3)*Log[16] + x^2*Log[x^2])*Log[x - x^2 + (1 - x)*Log[16] + Log[x^2]]*Log[Log[x - x^2 + (1 - x)*Log[16] + Log[x^2]]]),x]","\frac{\log \left(\log \left(\log \left(\log \left(x^2\right)-(x-1) (x+\log (16))\right)\right)\right)}{x}+\frac{1}{x}","\frac{\log \left(\log \left(\log \left(\log \left(x^2\right)+(1-x) (x+\log (16))\right)\right)\right)+1}{x}",1,"x^(-1) + Log[Log[Log[-((-1 + x)*(x + Log[16])) + Log[x^2]]]]/x","A",1
4891,1,18,18,0.0511257,"\int \left(15 x^3+e^{2+x} \left(-16 x^3-4 x^4\right)+e^{4+2 x} \left(4 x^3+2 x^4\right)-4 x^3 \log (x)\right) \, dx","Integrate[15*x^3 + E^(2 + x)*(-16*x^3 - 4*x^4) + E^(4 + 2*x)*(4*x^3 + 2*x^4) - 4*x^3*Log[x],x]","x^4 \left(\left(e^{x+2}-2\right)^2-\log (x)\right)","x^4 \left(\left(e^{x+2}-2\right)^2-\log (x)\right)",1,"x^4*((-2 + E^(2 + x))^2 - Log[x])","A",1
4892,1,26,33,0.0060682,"\int \left(5-4 e^{3+x}-2 e^{5/4} x+9 x^2\right) \, dx","Integrate[5 - 4*E^(3 + x) - 2*E^(5/4)*x + 9*x^2,x]","3 x^3-e^{5/4} x^2+5 x-4 e^{x+3}","x \left(3 x^2+5\right)-x \left(\frac{4 \left(e^{x+3}+5\right)}{x}+e^{5/4} x\right)",1,"-4*E^(3 + x) + 5*x - E^(5/4)*x^2 + 3*x^3","A",1
4893,1,14,19,0.0042664,"\int \frac{2 x-x^2}{2 e^4 \left(4-8 x+4 x^2\right)} \, dx","Integrate[(2*x - x^2)/(2*E^4*(4 - 8*x + 4*x^2)),x]","-\frac{x+\frac{1}{x-1}}{8 e^4}","e^2-\frac{x^2}{8 e^4 (x-1)}",1,"-1/8*((-1 + x)^(-1) + x)/E^4","A",1
4894,1,11,9,0.0000687,"\int \left(80 x+64 x^3\right) \, dx","Integrate[80*x + 64*x^3,x]","16 x^4+40 x^2","\left(-4 x^2-5\right)^2",1,"40*x^2 + 16*x^4","A",1
4895,1,52,36,0.0470787,"\int \frac{450-141855 x+93650 x^2-15476 x^3+\left(-11250 x+7470 x^2-1240 x^3\right) \log \left(\frac{e^{2 x}}{x}\right)+\left(-225 x+150 x^2-25 x^3\right) \log ^2\left(\frac{e^{2 x}}{x}\right)}{562500 x-372000 x^2+61504 x^3+\left(45000 x-29880 x^2+4960 x^3\right) \log \left(\frac{e^{2 x}}{x}\right)+\left(900 x-600 x^2+100 x^3\right) \log ^2\left(\frac{e^{2 x}}{x}\right)} \, dx","Integrate[(450 - 141855*x + 93650*x^2 - 15476*x^3 + (-11250*x + 7470*x^2 - 1240*x^3)*Log[E^(2*x)/x] + (-225*x + 150*x^2 - 25*x^3)*Log[E^(2*x)/x]^2)/(562500*x - 372000*x^2 + 61504*x^3 + (45000*x - 29880*x^2 + 4960*x^3)*Log[E^(2*x)/x] + (900*x - 600*x^2 + 100*x^3)*Log[E^(2*x)/x]^2),x]","-\frac{124 x^2-385 x+5 (x-3) x \log \left(\frac{e^{2 x}}{x}\right)+30}{4 \left(124 x+5 (x-3) \log \left(\frac{e^{2 x}}{x}\right)-375\right)}","\frac{1}{4} \left(\frac{2}{\frac{x}{5 (3-x)}+\log \left(\frac{e^{2 x}}{x}\right)+25}-x\right)",1,"-1/4*(30 - 385*x + 124*x^2 + 5*(-3 + x)*x*Log[E^(2*x)/x])/(-375 + 124*x + 5*(-3 + x)*Log[E^(2*x)/x])","A",1
4896,1,25,19,0.0704109,"\int \frac{e^{-2 x} \left(576+36 x+e^{2 x} \left(288 x+19 x^2\right)+\left(576-1112 x-72 x^2\right) \log (x)+\left(64+4 x+e^{2 x} \left(32 x+2 x^2\right)+\left(64-124 x-8 x^2\right) \log (x)\right) \log (16+x)\right)}{16+x} \, dx","Integrate[(576 + 36*x + E^(2*x)*(288*x + 19*x^2) + (576 - 1112*x - 72*x^2)*Log[x] + (64 + 4*x + E^(2*x)*(32*x + 2*x^2) + (64 - 124*x - 8*x^2)*Log[x])*Log[16 + x])/(E^(2*x)*(16 + x)),x]","e^{-2 x} x \left(e^{2 x} x+4 \log (x)\right) (\log (x+16)+9)","x \left(x+4 e^{-2 x} \log (x)\right) (\log (x+16)+9)",1,"(x*(E^(2*x)*x + 4*Log[x])*(9 + Log[16 + x]))/E^(2*x)","A",1
4897,1,23,23,0.1742446,"\int \frac{e^{\frac{1}{5} (-4-x)} \left(-180 x^2+42 x^3-3 x^4\right)}{160-80 x+10 x^2} \, dx","Integrate[(E^((-4 - x)/5)*(-180*x^2 + 42*x^3 - 3*x^4))/(160 - 80*x + 10*x^2),x]","\frac{3 e^{-\frac{x}{5}-\frac{4}{5}} x^3}{2 (x-4)}","\frac{3 e^{\frac{1}{5} (-x-4)} x^3}{2 (x-4)}",1,"(3*E^(-4/5 - x/5)*x^3)/(2*(-4 + x))","A",1
4898,1,22,21,0.023867,"\int \frac{1}{2} e^{-x} (50+(-5+5 x-5 \log (4)) \log (5)) \, dx","Integrate[(50 + (-5 + 5*x - 5*Log[4])*Log[5])/(2*E^x),x]","\frac{1}{2} e^{-x} (-5 x \log (5)-50+5 \log (4) \log (5))","\frac{5}{2} e^{-x} (-\log (5) (x-\log (4))-10)",1,"(-50 - 5*x*Log[5] + 5*Log[4]*Log[5])/(2*E^x)","A",1
4899,1,16,21,0.0186409,"\int \frac{e^{2 x} (3-6 x)+3 x+3 x^2}{x^2} \, dx","Integrate[(E^(2*x)*(3 - 6*x) + 3*x + 3*x^2)/x^2,x]","3 \left(x-\frac{e^{2 x}}{x}+\log (x)\right)","5-\frac{3 \left(e^{2 x}-x (x+\log (x)+2)\right)}{x}",1,"3*(-(E^(2*x)/x) + x + Log[x])","A",1
4900,1,26,22,0.0085729,"\int \frac{1-x+e x+2 x^2-3 x^3-x \log \left(5 x+x \log ^2(5)\right)}{x} \, dx","Integrate[(1 - x + E*x + 2*x^2 - 3*x^3 - x*Log[5*x + x*Log[5]^2])/x,x]","-x^3+x^2+e x-x \log \left(x \left(5+\log ^2(5)\right)\right)+\log (x)","(1-x) \left(x^2+\log \left(x \left(5+\log ^2(5)\right)\right)-e\right)",1,"E*x + x^2 - x^3 + Log[x] - x*Log[x*(5 + Log[5]^2)]","A",1
4901,1,22,24,0.0356916,"\int \frac{e^{e^{16 x}} \left(6-12 x^2+e^{16 x} \left(96 x+704 x^2+192 x^3\right)\right)}{9+132 x+520 x^2+264 x^3+36 x^4} \, dx","Integrate[(E^E^(16*x)*(6 - 12*x^2 + E^(16*x)*(96*x + 704*x^2 + 192*x^3)))/(9 + 132*x + 520*x^2 + 264*x^3 + 36*x^4),x]","\frac{2 e^{e^{16 x}} x}{6 x^2+22 x+3}","\frac{e^{e^{16 x}}}{3 (x+2)+\frac{3}{2 x}+5}",1,"(2*E^E^(16*x)*x)/(3 + 22*x + 6*x^2)","A",1
4902,1,26,26,1.1228527,"\int \frac{\exp \left(\frac{2 \left(3 e^x-3 x\right)}{-32+2 e^x+30 x-8 x^2}\right) \left(48-12 x^2+e^x \left(-96+72 x-12 x^2\right)\right)}{256+e^{2 x}-480 x+353 x^2-120 x^3+16 x^4+e^x \left(-32+30 x-8 x^2\right)} \, dx","Integrate[(E^((2*(3*E^x - 3*x))/(-32 + 2*E^x + 30*x - 8*x^2))*(48 - 12*x^2 + E^x*(-96 + 72*x - 12*x^2)))/(256 + E^(2*x) - 480*x + 353*x^2 - 120*x^3 + 16*x^4 + E^x*(-32 + 30*x - 8*x^2)),x]","e^{\frac{3 \left(e^x-x\right)}{-4 x^2+15 x+e^x-16}}","e^{\frac{6}{2-\frac{8 (2-x)^2}{e^x-x}}}",1,"E^((3*(E^x - x))/(-16 + E^x + 15*x - 4*x^2))","A",1
4903,1,81,30,0.1712704,"\int \frac{\left(64+32 x+12 x^2+x^3\right) \log (x) \log \left(\frac{1}{3} e^{\frac{-8-2 x+x^2}{16+4 x}} x\right)+\left(32+16 x+2 x^2\right) \log ^2\left(\frac{1}{3} e^{\frac{-8-2 x+x^2}{16+4 x}} x\right)}{16 x+8 x^2+x^3} \, dx","Integrate[((64 + 32*x + 12*x^2 + x^3)*Log[x]*Log[(E^((-8 - 2*x + x^2)/(16 + 4*x))*x)/3] + (32 + 16*x + 2*x^2)*Log[(E^((-8 - 2*x + x^2)/(16 + 4*x))*x)/3]^2)/(16*x + 8*x^2 + x^3),x]","\frac{-\frac{9 x^2}{4}+\frac{9 x}{2}+(x+4) \log (x) \left(2 \log ^2\left(\frac{1}{3} e^{\frac{1}{4} \left(x+\frac{16}{x+4}-6\right)} x\right)-9\right)+9 (x+4) \log \left(\frac{1}{3} e^{\frac{1}{4} \left(x+\frac{16}{x+4}-6\right)} x\right)+18}{x+4}","2 \log (x) \log ^2\left(\frac{1}{3} e^{\frac{x-2}{4}-\frac{x}{x+4}} x\right)",1,"(18 + (9*x)/2 - (9*x^2)/4 + 9*(4 + x)*Log[(E^((-6 + x + 16/(4 + x))/4)*x)/3] + (4 + x)*Log[x]*(-9 + 2*Log[(E^((-6 + x + 16/(4 + x))/4)*x)/3]^2))/(4 + x)","B",1
4904,1,23,25,0.0186942,"\int \frac{4096-256 x-64 x^2}{4 x^3+x^4+\left(128 x^2+32 x^3\right) \log (x)+\left(1024 x+256 x^2\right) \log ^2(x)+\left(-128 x^2-32 x^3+\left(-2048 x-512 x^2\right) \log (x)\right) \log \left(\frac{5 x^2}{4+x}\right)+\left(1024 x+256 x^2\right) \log ^2\left(\frac{5 x^2}{4+x}\right)} \, dx","Integrate[(4096 - 256*x - 64*x^2)/(4*x^3 + x^4 + (128*x^2 + 32*x^3)*Log[x] + (1024*x + 256*x^2)*Log[x]^2 + (-128*x^2 - 32*x^3 + (-2048*x - 512*x^2)*Log[x])*Log[(5*x^2)/(4 + x)] + (1024*x + 256*x^2)*Log[(5*x^2)/(4 + x)]^2),x]","\frac{64}{-16 \log \left(\frac{5 x^2}{x+4}\right)+x+16 \log (x)}","\frac{4}{-\log \left(\frac{5 x^2}{x+4}\right)+\frac{x}{16}+\log (x)}",1,"64/(x + 16*Log[x] - 16*Log[(5*x^2)/(4 + x)])","A",1
4905,1,45,33,0.3367428,"\int \frac{\left(-12+30 x-24 x^2+(24-12 x) \log (2-x)\right) \log (x)+\left(72 x-96 x^2+14 x^3+24 x^4-8 x^5+\left(-96 x+64 x^2+24 x^3-16 x^4\right) \log (2-x)+\left(32 x-8 x^3\right) \log ^2(2-x)\right) \log (3 \log (x))+\left(72 x-114 x^2+47 x^3+4 x^4-4 x^5+\left(-96 x+88 x^2-4 x^3-8 x^4\right) \log (2-x)+\left(32 x-8 x^2-4 x^3\right) \log ^2(2-x)\right) \log (x) \log ^2(3 \log (x))}{(-72+36 x) \log (x)+\left(-72 x^2+84 x^3-24 x^4+\left(48 x^2-24 x^3\right) \log (2-x)\right) \log (x) \log ^2(3 \log (x))+\left(-18 x^4+33 x^5-20 x^6+4 x^7+\left(24 x^4-28 x^5+8 x^6\right) \log (2-x)+\left(-8 x^4+4 x^5\right) \log ^2(2-x)\right) \log (x) \log ^4(3 \log (x))} \, dx","Integrate[((-12 + 30*x - 24*x^2 + (24 - 12*x)*Log[2 - x])*Log[x] + (72*x - 96*x^2 + 14*x^3 + 24*x^4 - 8*x^5 + (-96*x + 64*x^2 + 24*x^3 - 16*x^4)*Log[2 - x] + (32*x - 8*x^3)*Log[2 - x]^2)*Log[3*Log[x]] + (72*x - 114*x^2 + 47*x^3 + 4*x^4 - 4*x^5 + (-96*x + 88*x^2 - 4*x^3 - 8*x^4)*Log[2 - x] + (32*x - 8*x^2 - 4*x^3)*Log[2 - x]^2)*Log[x]*Log[3*Log[x]]^2)/((-72 + 36*x)*Log[x] + (-72*x^2 + 84*x^3 - 24*x^4 + (48*x^2 - 24*x^3)*Log[2 - x])*Log[x]*Log[3*Log[x]]^2 + (-18*x^4 + 33*x^5 - 20*x^6 + 4*x^7 + (24*x^4 - 28*x^5 + 8*x^6)*Log[2 - x] + (-8*x^4 + 4*x^5)*Log[2 - x]^2)*Log[x]*Log[3*Log[x]]^4),x]","\frac{(x+2) (2 x+2 \log (2-x)-3)}{x^2 (2 x+2 \log (2-x)-3) \log ^2(3 \log (x))-6}","\frac{x+2}{x^2 \log ^2(3 \log (x))-\frac{3}{x+\log (2-x)-\frac{3}{2}}}",1,"((2 + x)*(-3 + 2*x + 2*Log[2 - x]))/(-6 + x^2*(-3 + 2*x + 2*Log[2 - x])*Log[3*Log[x]]^2)","A",1
4906,1,45,32,0.2253453,"\int \frac{-60 x+81 x^2+24 x^3+\frac{e^{-1+x} \left(-12+57 x+12 x^2\right)}{4+x}+\left(24-42 x-12 x^2+\frac{e^{-1+x} (-30-6 x)}{4+x}\right) \log \left(x+\frac{e^{-1+x}}{4+x}\right)}{-4 x^2+15 x^3+4 x^4+\frac{e^{-1+x} \left(-4 x+15 x^2+4 x^3\right)}{4+x}+\left(-16 x^2-4 x^3+\frac{e^{-1+x} \left(-16 x-4 x^2\right)}{4+x}\right) \log \left(x+\frac{e^{-1+x}}{4+x}\right)+\left(e^{-1+x}+4 x+x^2\right) \log ^2\left(x+\frac{e^{-1+x}}{4+x}\right)} \, dx","Integrate[(-60*x + 81*x^2 + 24*x^3 + (E^(-1 + x)*(-12 + 57*x + 12*x^2))/(4 + x) + (24 - 42*x - 12*x^2 + (E^(-1 + x)*(-30 - 6*x))/(4 + x))*Log[x + E^(-1 + x)/(4 + x)])/(-4*x^2 + 15*x^3 + 4*x^4 + (E^(-1 + x)*(-4*x + 15*x^2 + 4*x^3))/(4 + x) + (-16*x^2 - 4*x^3 + (E^(-1 + x)*(-16*x - 4*x^2))/(4 + x))*Log[x + E^(-1 + x)/(4 + x)] + (E^(-1 + x) + 4*x + x^2)*Log[x + E^(-1 + x)/(4 + x)]^2),x]","3 \log \left(4 x^2-x+\log ^2\left(x+\frac{e^{x-1}}{x+4}\right)-4 x \log \left(x+\frac{e^{x-1}}{x+4}\right)\right)","3 \log \left(x-x^2 \left(\frac{\log \left(x+\frac{e^{x-1}}{x+4}\right)}{x}-2\right)^2\right)",1,"3*Log[-x + 4*x^2 - 4*x*Log[x + E^(-1 + x)/(4 + x)] + Log[x + E^(-1 + x)/(4 + x)]^2]","A",1
4907,1,39,19,0.0138585,"\int \frac{7 x+2 x^2+(-6-2 x) \log (2)+\left(-2 x \log (2)+2 \log ^2(2)\right) \log (x)}{x} \, dx","Integrate[(7*x + 2*x^2 + (-6 - 2*x)*Log[2] + (-2*x*Log[2] + 2*Log[2]^2)*Log[x])/x,x]","x^2+7 x+\log ^2(2) \log ^2(x)-2 x \log (2) \log (x)-x \log (4)+2 x \log (2)-6 \log (2) \log (x)","x+(-x+\log (2) \log (x)-3)^2-1-3 \log (25)",1,"7*x + x^2 + 2*x*Log[2] - x*Log[4] - 6*Log[2]*Log[x] - 2*x*Log[2]*Log[x] + Log[2]^2*Log[x]^2","B",1
4908,1,140,36,0.5112033,"\int \frac{\left(625+1500 x+1350 x^2+540 x^3+81 x^4\right) \log (2)+\left(625+1500 x+1350 x^2+540 x^3+81 x^4\right) \log ^2(2)+e^{2 x} \left(4 x^2+4 x^3+\left(4 x^3+x^4\right) \log (2)+x^4 \log ^2(2)\right)+e^x \left(-10 x^2+22 x^3+18 x^4+\left(-100 x-170 x^2-96 x^3-18 x^4\right) \log (2)+\left(-50 x^2-60 x^3-18 x^4\right) \log ^2(2)\right)+\left(\left(50 x^2+60 x^3+18 x^4\right) \log (2)+\left(50 x^2+60 x^3+18 x^4\right) \log ^2(2)+e^x \left(-4 x^3+2 x^4+\left(-4 x^3-2 x^4\right) \log (2)-2 x^4 \log ^2(2)\right)\right) \log (x)+\left(x^4 \log (2)+x^4 \log ^2(2)\right) \log ^2(x)}{\left(625+1500 x+1350 x^2+540 x^3+81 x^4\right) \log ^2(2)+e^{2 x} \left(4 x^2+4 x^3 \log (2)+x^4 \log ^2(2)\right)+e^x \left(\left(-100 x-120 x^2-36 x^3\right) \log (2)+\left(-50 x^2-60 x^3-18 x^4\right) \log ^2(2)\right)+\left(\left(50 x^2+60 x^3+18 x^4\right) \log ^2(2)+e^x \left(-4 x^3 \log (2)-2 x^4 \log ^2(2)\right)\right) \log (x)+x^4 \log ^2(2) \log ^2(x)} \, dx","Integrate[((625 + 1500*x + 1350*x^2 + 540*x^3 + 81*x^4)*Log[2] + (625 + 1500*x + 1350*x^2 + 540*x^3 + 81*x^4)*Log[2]^2 + E^(2*x)*(4*x^2 + 4*x^3 + (4*x^3 + x^4)*Log[2] + x^4*Log[2]^2) + E^x*(-10*x^2 + 22*x^3 + 18*x^4 + (-100*x - 170*x^2 - 96*x^3 - 18*x^4)*Log[2] + (-50*x^2 - 60*x^3 - 18*x^4)*Log[2]^2) + ((50*x^2 + 60*x^3 + 18*x^4)*Log[2] + (50*x^2 + 60*x^3 + 18*x^4)*Log[2]^2 + E^x*(-4*x^3 + 2*x^4 + (-4*x^3 - 2*x^4)*Log[2] - 2*x^4*Log[2]^2))*Log[x] + (x^4*Log[2] + x^4*Log[2]^2)*Log[x]^2)/((625 + 1500*x + 1350*x^2 + 540*x^3 + 81*x^4)*Log[2]^2 + E^(2*x)*(4*x^2 + 4*x^3*Log[2] + x^4*Log[2]^2) + E^x*((-100*x - 120*x^2 - 36*x^3)*Log[2] + (-50*x^2 - 60*x^3 - 18*x^4)*Log[2]^2) + ((50*x^2 + 60*x^3 + 18*x^4)*Log[2]^2 + E^x*(-4*x^3*Log[2] - 2*x^4*Log[2]^2))*Log[x] + x^4*Log[2]^2*Log[x]^2),x]","\frac{x \left(-\frac{e^x x \left(-\left(x^2 \left(36 \log ^2(2)+\log (4)-18 \log (2) \log (4)\right)\right)+e^x x \left(x^2 \log (4)+x \left(4-\log ^2(4)+\log (2) \log (16)\right)-4\right)+60 x \log (2)+100 \log (2)\right)}{\left(\left(-x^2+30 x+50\right) \log (2)+e^x x \left(x^2 \log (2)+2 x-2\right)\right) \left(x^2 (-\log (2)) \log (x)+e^x x (x \log (2)+2)-(3 x+5)^2 \log (2)\right)}+1+\log (2)\right)}{\log (2)}","x+\frac{x}{\log (2)-\frac{2 e^x}{x \left(\left(\frac{5}{x}+3\right)^2-e^x+\log (x)\right)}}",1,"(x*(1 + Log[2] - (E^x*x*(100*Log[2] + 60*x*Log[2] - x^2*(36*Log[2]^2 + Log[4] - 18*Log[2]*Log[4]) + E^x*x*(-4 + x^2*Log[4] + x*(4 - Log[4]^2 + Log[2]*Log[16]))))/(((50 + 30*x - x^2)*Log[2] + E^x*x*(-2 + 2*x + x^2*Log[2]))*(-((5 + 3*x)^2*Log[2]) + E^x*x*(2 + x*Log[2]) - x^2*Log[2]*Log[x]))))/Log[2]","B",0
4909,1,19,21,0.2636217,"\int \frac{-x^2+x^3+\left(2 e^x x+2 x^2\right) \log \left(e^x+x\right)}{x^3-4 x^4+4 x^5+e^x \left(x^2-4 x^3+4 x^4\right)+\left(2 x^2-4 x^3+e^x \left(2 x-4 x^2\right)\right) \log \left(e^x+x\right)+\left(e^x+x\right) \log ^2\left(e^x+x\right)} \, dx","Integrate[(-x^2 + x^3 + (2*E^x*x + 2*x^2)*Log[E^x + x])/(x^3 - 4*x^4 + 4*x^5 + E^x*(x^2 - 4*x^3 + 4*x^4) + (2*x^2 - 4*x^3 + E^x*(2*x - 4*x^2))*Log[E^x + x] + (E^x + x)*Log[E^x + x]^2),x]","\frac{x^2}{-2 x^2+x+\log \left(x+e^x\right)}","\frac{x^2}{-2 x^2+x+\log \left(x+e^x\right)}+3",1,"x^2/(x - 2*x^2 + Log[E^x + x])","A",1
4910,1,49,34,0.2859904,"\int \frac{e^x \left(-4+111 x-48 x^2-125 x^3+3 x^4+111 x^5-59 x^6+9 x^7\right)+\left(e^x \left(x+3 x^2+57 x^3+113 x^4-84 x^5-57 x^6+50 x^7-9 x^8\right)+e^x \left(-1-3 x-57 x^2-113 x^3+84 x^4+57 x^5-50 x^6+9 x^7\right) \log \left(\frac{1+x+56 x^2+2 x^3-32 x^4+9 x^5}{9+36 x+18 x^2-36 x^3+9 x^4}\right)\right) \log \left(-x+\log \left(\frac{1+x+56 x^2+2 x^3-32 x^4+9 x^5}{9+36 x+18 x^2-36 x^3+9 x^4}\right)\right)}{\left(x+3 x^2+57 x^3+113 x^4-84 x^5-57 x^6+50 x^7-9 x^8+\left(-1-3 x-57 x^2-113 x^3+84 x^4+57 x^5-50 x^6+9 x^7\right) \log \left(\frac{1+x+56 x^2+2 x^3-32 x^4+9 x^5}{9+36 x+18 x^2-36 x^3+9 x^4}\right)\right) \log ^2\left(-x+\log \left(\frac{1+x+56 x^2+2 x^3-32 x^4+9 x^5}{9+36 x+18 x^2-36 x^3+9 x^4}\right)\right)} \, dx","Integrate[(E^x*(-4 + 111*x - 48*x^2 - 125*x^3 + 3*x^4 + 111*x^5 - 59*x^6 + 9*x^7) + (E^x*(x + 3*x^2 + 57*x^3 + 113*x^4 - 84*x^5 - 57*x^6 + 50*x^7 - 9*x^8) + E^x*(-1 - 3*x - 57*x^2 - 113*x^3 + 84*x^4 + 57*x^5 - 50*x^6 + 9*x^7)*Log[(1 + x + 56*x^2 + 2*x^3 - 32*x^4 + 9*x^5)/(9 + 36*x + 18*x^2 - 36*x^3 + 9*x^4)])*Log[-x + Log[(1 + x + 56*x^2 + 2*x^3 - 32*x^4 + 9*x^5)/(9 + 36*x + 18*x^2 - 36*x^3 + 9*x^4)]])/((x + 3*x^2 + 57*x^3 + 113*x^4 - 84*x^5 - 57*x^6 + 50*x^7 - 9*x^8 + (-1 - 3*x - 57*x^2 - 113*x^3 + 84*x^4 + 57*x^5 - 50*x^6 + 9*x^7)*Log[(1 + x + 56*x^2 + 2*x^3 - 32*x^4 + 9*x^5)/(9 + 36*x + 18*x^2 - 36*x^3 + 9*x^4)])*Log[-x + Log[(1 + x + 56*x^2 + 2*x^3 - 32*x^4 + 9*x^5)/(9 + 36*x + 18*x^2 - 36*x^3 + 9*x^4)]]^2),x]","\frac{e^x}{\log \left(\log \left(\frac{9 x^5-32 x^4+2 x^3+56 x^2+x+1}{9 \left(x^2-2 x-1\right)^2}\right)-x\right)}","\frac{e^x}{\log \left(\log \left(\frac{1}{9} \left(\frac{3}{x^2-2 x-1}+2\right)^2+x\right)-x\right)}",1,"E^x/Log[-x + Log[(1 + x + 56*x^2 + 2*x^3 - 32*x^4 + 9*x^5)/(9*(-1 - 2*x + x^2)^2)]]","A",1
4911,1,118,37,0.4246293,"\int \frac{e^{4 x} (-256+64 x)+(16-5 x) \log (2)+(-256+64 x) \log ^2(2)+e^{2 x} \left(-16+37 x-8 x^2+(512-128 x) \log (2)\right)+\left(e^{4 x} (-128+32 x)+(4-x) \log (2)+(-128+32 x) \log ^2(2)+e^{2 x} \left(-4+9 x-2 x^2+(256-64 x) \log (2)\right)\right) \log \left(-\frac{4}{-4+x}\right)+\left(e^{4 x} (-16+4 x)+e^{2 x} (32-8 x) \log (2)+(-16+4 x) \log ^2(2)\right) \log ^2\left(-\frac{4}{-4+x}\right)}{e^{4 x} \left(-256-192 x+64 x^2\right)+\left(16 x-4 x^2\right) \log (2)+\left(-256-192 x+64 x^2\right) \log ^2(2)+e^{2 x} \left(-16 x+4 x^2+\left(512+384 x-128 x^2\right) \log (2)\right)+\left(e^{4 x} \left(-128-96 x+32 x^2\right)+\left(4 x-x^2\right) \log (2)+\left(-128-96 x+32 x^2\right) \log ^2(2)+e^{2 x} \left(-4 x+x^2+\left(256+192 x-64 x^2\right) \log (2)\right)\right) \log \left(-\frac{4}{-4+x}\right)+\left(e^{4 x} \left(-16-12 x+4 x^2\right)+e^{2 x} \left(32+24 x-8 x^2\right) \log (2)+\left(-16-12 x+4 x^2\right) \log ^2(2)\right) \log ^2\left(-\frac{4}{-4+x}\right)} \, dx","Integrate[(E^(4*x)*(-256 + 64*x) + (16 - 5*x)*Log[2] + (-256 + 64*x)*Log[2]^2 + E^(2*x)*(-16 + 37*x - 8*x^2 + (512 - 128*x)*Log[2]) + (E^(4*x)*(-128 + 32*x) + (4 - x)*Log[2] + (-128 + 32*x)*Log[2]^2 + E^(2*x)*(-4 + 9*x - 2*x^2 + (256 - 64*x)*Log[2]))*Log[-4/(-4 + x)] + (E^(4*x)*(-16 + 4*x) + E^(2*x)*(32 - 8*x)*Log[2] + (-16 + 4*x)*Log[2]^2)*Log[-4/(-4 + x)]^2)/(E^(4*x)*(-256 - 192*x + 64*x^2) + (16*x - 4*x^2)*Log[2] + (-256 - 192*x + 64*x^2)*Log[2]^2 + E^(2*x)*(-16*x + 4*x^2 + (512 + 384*x - 128*x^2)*Log[2]) + (E^(4*x)*(-128 - 96*x + 32*x^2) + (4*x - x^2)*Log[2] + (-128 - 96*x + 32*x^2)*Log[2]^2 + E^(2*x)*(-4*x + x^2 + (256 + 192*x - 64*x^2)*Log[2]))*Log[-4/(-4 + x)] + (E^(4*x)*(-16 - 12*x + 4*x^2) + E^(2*x)*(32 + 24*x - 8*x^2)*Log[2] + (-16 - 12*x + 4*x^2)*Log[2]^2)*Log[-4/(-4 + x)]^2),x]","\log (x+1)-\log \left((x+1) \left(e^{2 x}-\log (2)\right)\right)-\log \left(\log \left(-\frac{4}{x-4}\right)+4\right)+\log \left(16 e^{2 x} x+x+16 e^{2 x}+4 e^{2 x} x \log \left(-\frac{4}{x-4}\right)-4 x \log (2) \log \left(-\frac{4}{x-4}\right)-16 x \log (2)+4 e^{2 x} \log \left(-\frac{4}{x-4}\right)-4 \log (2) \log \left(-\frac{4}{x-4}\right)-16 \log (2)\right)","\log \left(x+\frac{x}{4 \left(e^{2 x}-\log (2)\right) \left(\log \left(\frac{x}{4-x}+1\right)+4\right)}+1\right)",1,"Log[1 + x] - Log[(1 + x)*(E^(2*x) - Log[2])] - Log[4 + Log[-4/(-4 + x)]] + Log[16*E^(2*x) + x + 16*E^(2*x)*x - 16*Log[2] - 16*x*Log[2] + 4*E^(2*x)*Log[-4/(-4 + x)] + 4*E^(2*x)*x*Log[-4/(-4 + x)] - 4*Log[2]*Log[-4/(-4 + x)] - 4*x*Log[2]*Log[-4/(-4 + x)]]","B",1
4912,1,29,24,0.3003202,"\int \frac{e^3 (-5-x)+e^3 (-5-x) \log (x)+5 e^3 \log (x) \log (x \log (x))+e^3 \left(4-10 x-x^2\right) \log (x) \log ^2(x \log (x))}{x^2 \log (x)+\left(-8 x-2 x^3\right) \log (x) \log (x \log (x))+\left(16+8 x^2+x^4\right) \log (x) \log ^2(x \log (x))} \, dx","Integrate[(E^3*(-5 - x) + E^3*(-5 - x)*Log[x] + 5*E^3*Log[x]*Log[x*Log[x]] + E^3*(4 - 10*x - x^2)*Log[x]*Log[x*Log[x]]^2)/(x^2*Log[x] + (-8*x - 2*x^3)*Log[x]*Log[x*Log[x]] + (16 + 8*x^2 + x^4)*Log[x]*Log[x*Log[x]]^2),x]","\frac{e^3 (x+5) \log (x \log (x))}{\left(x^2+4\right) \log (x \log (x))-x}","\frac{e^3 (x+5)}{x^2-\frac{x}{\log (x \log (x))}+4}",1,"(E^3*(5 + x)*Log[x*Log[x]])/(-x + (4 + x^2)*Log[x*Log[x]])","A",1
4913,1,19,25,0.8899952,"\int \frac{8 x^2+\left(2 e^3-4 x^2\right) \log \left(e^3-2 x^2\right)+\left(4 e^3-8 x^2\right) \log ^2\left(e^3-2 x^2\right)}{\left(e^3-2 x^2\right) \log ^2\left(e^3-2 x^2\right)} \, dx","Integrate[(8*x^2 + (2*E^3 - 4*x^2)*Log[E^3 - 2*x^2] + (4*E^3 - 8*x^2)*Log[E^3 - 2*x^2]^2)/((E^3 - 2*x^2)*Log[E^3 - 2*x^2]^2),x]","\frac{2 x}{\log \left(e^3-2 x^2\right)}+4 x","2 \left(\frac{x}{\log \left(e^3-2 x^2\right)}+2 x+4+\log (4)\right)-2",1,"4*x + (2*x)/Log[E^3 - 2*x^2]","A",1
4914,1,26,28,0.1266669,"\int \frac{2450-189 x+x^2+e^{2 e^5 x+2 x^2} \left(49 e^5 x+98 x^2\right)+e^{e^5 x+x^2} \left(98-7 x+2450 x^2-14 x^3+e^5 \left(1225 x-7 x^2\right)\right)+\left(98-7 x+e^{e^5 x+x^2} \left(49 e^5 x+98 x^2\right)\right) \log \left(x^2\right)}{49 x} \, dx","Integrate[(2450 - 189*x + x^2 + E^(2*E^5*x + 2*x^2)*(49*E^5*x + 98*x^2) + E^(E^5*x + x^2)*(98 - 7*x + 2450*x^2 - 14*x^3 + E^5*(1225*x - 7*x^2)) + (98 - 7*x + E^(E^5*x + x^2)*(49*E^5*x + 98*x^2))*Log[x^2])/(49*x),x]","\frac{1}{98} \left(-7 \log \left(x^2\right)+x-7 e^{x \left(x+e^5\right)}-175\right)^2","\frac{1}{2} \left(\log \left(x^2\right)-\frac{x}{7}+e^{x \left(x+e^5\right)}+25\right)^2+2",1,"(-175 - 7*E^(x*(E^5 + x)) + x - 7*Log[x^2])^2/98","A",1
4915,1,19,28,0.1049667,"\int \frac{e^{-1/x} \left(-12 x^2+12 x \log (3)+\left(12 x+12 x^2-12 \log (3)\right) \log (x)\right)}{x^2 \log ^2(x)} \, dx","Integrate[(-12*x^2 + 12*x*Log[3] + (12*x + 12*x^2 - 12*Log[3])*Log[x])/(E^x^(-1)*x^2*Log[x]^2),x]","\frac{12 e^{-1/x} (x-\log (3))}{\log (x)}","3 \left(\frac{4 e^{-1/x} (x-\log (3))}{\log (x)}-2\right)+e^3-81",1,"(12*(x - Log[3]))/(E^x^(-1)*Log[x])","A",1
4916,0,0,32,5.8656662,"\int \frac{1+3 x \log (4)+\exp \left(3+e^{3-x \log \left(\frac{1}{27} (1+3 x \log (4))\right)}-x \log \left(\frac{1}{27} (1+3 x \log (4))\right)\right) \left(-3 x \log (4)+(-1-3 x \log (4)) \log \left(\frac{1}{27} (1+3 x \log (4))\right)\right)}{1+3 x \log (4)} \, dx","Integrate[(1 + 3*x*Log[4] + E^(3 + E^(3 - x*Log[(1 + 3*x*Log[4])/27]) - x*Log[(1 + 3*x*Log[4])/27])*(-3*x*Log[4] + (-1 - 3*x*Log[4])*Log[(1 + 3*x*Log[4])/27]))/(1 + 3*x*Log[4]),x]","\int \frac{1+3 x \log (4)+\exp \left(3+e^{3-x \log \left(\frac{1}{27} (1+3 x \log (4))\right)}-x \log \left(\frac{1}{27} (1+3 x \log (4))\right)\right) \left(-3 x \log (4)+(-1-3 x \log (4)) \log \left(\frac{1}{27} (1+3 x \log (4))\right)\right)}{1+3 x \log (4)} \, dx","x+e^{e^{x \left(\frac{3}{x}-\log \left(\frac{1}{9} x \left(\frac{1}{3 x}+\log (4)\right)\right)\right)}}",1,"Integrate[(1 + 3*x*Log[4] + E^(3 + E^(3 - x*Log[(1 + 3*x*Log[4])/27]) - x*Log[(1 + 3*x*Log[4])/27])*(-3*x*Log[4] + (-1 - 3*x*Log[4])*Log[(1 + 3*x*Log[4])/27]))/(1 + 3*x*Log[4]), x]","F",-1
4917,1,26,22,0.0206181,"\int \frac{25 x^2+10 x^3+x^4+\left(-80+e^2 (-5-2 x)-32 x\right) \log (3)}{25 x^2+10 x^3+x^4} \, dx","Integrate[(25*x^2 + 10*x^3 + x^4 + (-80 + E^2*(-5 - 2*x) - 32*x)*Log[3])/(25*x^2 + 10*x^3 + x^4),x]","\frac{x^3+5 x^2+\left(16+e^2\right) \log (3)}{x (x+5)}","x+\frac{\left(16+e^2\right) \log (3)}{(x+5) x}+e^4+1",1,"(5*x^2 + x^3 + (16 + E^2)*Log[3])/(x*(5 + x))","A",1
4918,1,30,28,0.391284,"\int \frac{75 x^2+155 x^3+103 x^4+15 x^5+e^x \left(-6 x^2-10 x^3-10 x^4\right)+\left(500 x^3-40 e^x x^3+200 x^4+20 x^5\right) \log \left(25 x-2 e^x x+10 x^2+x^3\right)}{-125+10 e^x-50 x-5 x^2} \, dx","Integrate[(75*x^2 + 155*x^3 + 103*x^4 + 15*x^5 + E^x*(-6*x^2 - 10*x^3 - 10*x^4) + (500*x^3 - 40*E^x*x^3 + 200*x^4 + 20*x^5)*Log[25*x - 2*E^x*x + 10*x^2 + x^3])/(-125 + 10*E^x - 50*x - 5*x^2),x]","\frac{1}{5} \left(-5 x^4 \log \left(x (x+5)^2-2 e^x x\right)-x^3\right)","x^4 \left(-\frac{1}{5 x}-\log \left(x \left((x+5)^2-2 e^x\right)\right)\right)",1,"(-x^3 - 5*x^4*Log[-2*E^x*x + x*(5 + x)^2])/5","A",1
4919,1,28,33,0.0097072,"\int \frac{-4 x^3+e^5 \left(-6+18 x^2-18 x^4\right)}{x^2} \, dx","Integrate[(-4*x^3 + E^5*(-6 + 18*x^2 - 18*x^4))/x^2,x]","-6 e^5 x^3-2 x^2+18 e^5 x+\frac{6 e^5}{x}","x^2+3 \left(e^5 \left(-\left(\left(2 x^2-5\right) x\right)+x+\frac{2}{x}\right)-x^2\right)",1,"(6*E^5)/x + 18*E^5*x - 2*x^2 - 6*E^5*x^3","A",1
4920,1,26,27,0.3019695,"\int \frac{e^2+e^{e^{e+3 x+x^2}+x} \left(e^2 \left(1-2 x+x^2\right)+e^{2+e+3 x+x^2} \left(3-4 x-x^2+2 x^3\right)\right)}{1-2 x+x^2} \, dx","Integrate[(E^2 + E^(E^(E + 3*x + x^2) + x)*(E^2*(1 - 2*x + x^2) + E^(2 + E + 3*x + x^2)*(3 - 4*x - x^2 + 2*x^3)))/(1 - 2*x + x^2),x]","e^2 \left(e^{e^{x^2+3 x+e}+x}-\frac{1}{x-1}\right)","e^2 \left(-\frac{x}{x-1}+e^{x+e^{x (x+3)+e}}-1\right)",1,"E^2*(E^(E^(E + 3*x + x^2) + x) - (-1 + x)^(-1))","A",1
4921,1,26,22,0.2850483,"\int \frac{48 x+116 x^2+58 x^3-14 x^4+\left(-48 x-84 x^2-47 x^3-7 x^4\right) \log (x)}{\left(-192-720 x-756 x^2-15 x^3+189 x^4-45 x^5+3 x^6\right) \log ^3(x)} \, dx","Integrate[(48*x + 116*x^2 + 58*x^3 - 14*x^4 + (-48*x - 84*x^2 - 47*x^3 - 7*x^4)*Log[x])/((-192 - 720*x - 756*x^2 - 15*x^3 + 189*x^4 - 45*x^5 + 3*x^6)*Log[x]^3),x]","\frac{x^2 (7 x+6)}{3 \left(x^2-5 x-4\right)^2 \log ^2(x)}","\frac{\frac{7 x}{3}+2}{\left(x-\frac{4}{x}-5\right)^2 \log ^2(x)}",1,"(x^2*(6 + 7*x))/(3*(-4 - 5*x + x^2)^2*Log[x]^2)","A",1
4922,1,30,32,0.2730849,"\int \frac{e^{x/5} (5-x)+\left(-5 x-125 x^2+e^{x/5} (5+125 x)\right) \log \left(\frac{-e^{x/5}+x}{x}\right)}{\left(25 e^{x/5} x-25 x^2\right) \log \left(\frac{-e^{x/5}+x}{x}\right)} \, dx","Integrate[(E^(x/5)*(5 - x) + (-5*x - 125*x^2 + E^(x/5)*(5 + 125*x))*Log[(-E^(x/5) + x)/x])/((25*E^(x/5)*x - 25*x^2)*Log[(-E^(x/5) + x)/x]),x]","\frac{1}{25} \left(125 x+5 \log (x)-5 \log \left(\log \left(1-\frac{e^{x/5}}{x}\right)\right)\right)","5 x+\frac{1}{5} \left(\log (3 x)-\log \left(\log \left(\frac{x-e^{x/5}}{x}\right)\right)\right)",1,"(125*x + 5*Log[x] - 5*Log[Log[1 - E^(x/5)/x]])/25","A",1
4923,1,14,23,0.0074984,"\int \frac{1-3 e^{23-3 x}}{\log (16)} \, dx","Integrate[(1 - 3*E^(23 - 3*x))/Log[16],x]","\frac{x+e^{23-3 x}}{\log (16)}","\frac{x+e^{-4 (x-6)+x-1}-e^4+1}{\log (16)}",1,"(E^(23 - 3*x) + x)/Log[16]","A",1
4924,1,10,10,0.0005068,"\int -\frac{3 e^{18}}{4 x^4} \, dx","Integrate[(-3*E^18)/(4*x^4),x]","\frac{e^{18}}{4 x^3}","\frac{e^{18}}{4 x^3}",1,"E^18/(4*x^3)","A",1
4925,1,3,17,0.0002046,"\int -\frac{1}{x^2} \, dx","Integrate[-x^(-2),x]","\frac{1}{x}","\frac{x (147+\log (5))^4+5}{5 x}",1,"x^(-1)","A",1
4926,1,30,30,0.0680183,"\int \frac{15 x^2-5 x^3-10 x^4+\left(20 x^2+80 x^3\right) \log (x)-160 x^2 \log ^2(x)+\left(70 x^2-15 x^3+20 x^4+\left(70 x-15 x^2+20 x^3\right) \log (5)+\left(-40 x^2-160 x^3+\left(-40 x-160 x^2\right) \log (5)\right) \log (x)+\left(320 x^2+320 x \log (5)\right) \log ^2(x)\right) \log (x+\log (5))}{\left(x-2 x^2+x^3+\left(1-2 x+x^2\right) \log (5)+\left(8 x-8 x^2+(8-8 x) \log (5)\right) \log (x)+(16 x+16 \log (5)) \log ^2(x)\right) \log ^2(x+\log (5))} \, dx","Integrate[(15*x^2 - 5*x^3 - 10*x^4 + (20*x^2 + 80*x^3)*Log[x] - 160*x^2*Log[x]^2 + (70*x^2 - 15*x^3 + 20*x^4 + (70*x - 15*x^2 + 20*x^3)*Log[5] + (-40*x^2 - 160*x^3 + (-40*x - 160*x^2)*Log[5])*Log[x] + (320*x^2 + 320*x*Log[5])*Log[x]^2)*Log[x + Log[5]])/((x - 2*x^2 + x^3 + (1 - 2*x + x^2)*Log[5] + (8*x - 8*x^2 + (8 - 8*x)*Log[5])*Log[x] + (16*x + 16*Log[5])*Log[x]^2)*Log[x + Log[5]]^2),x]","\frac{5 x^2 (2 x-8 \log (x)+3)}{(x-4 \log (x)-1) \log (x+\log (5))}","\frac{5 x \left(2 x-\frac{5 x}{-x+4 \log (x)+1}\right)}{\log (x+\log (5))}+1",1,"(5*x^2*(3 + 2*x - 8*Log[x]))/((-1 + x - 4*Log[x])*Log[x + Log[5]])","A",1
4927,1,45,33,0.0832262,"\int \frac{-1+2 e^x x^2 \log (5)+\left(-2 x^2+e^2 \left(8 x^2+4 x^3\right)\right) \log (5)-\log \left(\frac{4}{x}\right)}{2 x^2 \log (5)} \, dx","Integrate[(-1 + 2*E^x*x^2*Log[5] + (-2*x^2 + E^2*(8*x^2 + 4*x^3))*Log[5] - Log[4/x])/(2*x^2*Log[5]),x]","\frac{2 e^2 x^2 \log (5)+8 e^2 x \log (5)-2 x \log (5)+e^x \log (25)+\frac{\log \left(\frac{4}{x}\right)}{x}}{\log (25)}","e^2 (x+2)^2+e^x-x+\frac{\log \left(\frac{4}{x}\right)}{2 x \log (5)}",1,"(-2*x*Log[5] + 8*E^2*x*Log[5] + 2*E^2*x^2*Log[5] + E^x*Log[25] + Log[4/x]/x)/Log[25]","A",1
4928,1,83,25,0.0600533,"\int \frac{-512-2304 x-2224 x^2+420 x^3+1044 x^4+52 x^5-180 x^6-12 x^7+12 x^8+\left(-1024-2048 x-288 x^2+1000 x^3+232 x^4-192 x^5-32 x^6+16 x^7\right) \log (x)+\left(-256-192 x+144 x^2+92 x^3-36 x^4-12 x^5+4 x^6\right) \log ^2(x)}{-64-48 x+36 x^2+23 x^3-9 x^4-3 x^5+x^6} \, dx","Integrate[(-512 - 2304*x - 2224*x^2 + 420*x^3 + 1044*x^4 + 52*x^5 - 180*x^6 - 12*x^7 + 12*x^8 + (-1024 - 2048*x - 288*x^2 + 1000*x^3 + 232*x^4 - 192*x^5 - 32*x^6 + 16*x^7)*Log[x] + (-256 - 192*x + 144*x^2 + 92*x^3 - 36*x^4 - 12*x^5 + 4*x^6)*Log[x]^2)/(-64 - 48*x + 36*x^2 + 23*x^3 - 9*x^4 - 3*x^5 + x^6),x]","4 \left(x^3+2 x^2+\frac{-11 x-15}{x^2-x-4}+\frac{5 x+4}{\left(x^2-x-4\right)^2}+\frac{2 \left(x^4-5 x^2-5 x-4\right) \log (x)}{x^2-x-4}-2 x+x \log ^2(x)-2 \log (x)\right)","x \left(4 \left(\frac{x}{-x^2+x+4}+x+\log (x)+1\right)^2-4\right)",1,"4*(-2*x + 2*x^2 + x^3 + (4 + 5*x)/(-4 - x + x^2)^2 + (-15 - 11*x)/(-4 - x + x^2) - 2*Log[x] + (2*(-4 - 5*x - 5*x^2 + x^4)*Log[x])/(-4 - x + x^2) + x*Log[x]^2)","B",1
4929,1,27,23,0.2409451,"\int \frac{1}{4} \left(-4+e^{\frac{1}{4} \left(17 x-7 e^x x+2 x^2\right)} \left(17+e^x (-7-7 x)+4 x\right)\right) \, dx","Integrate[(-4 + E^((17*x - 7*E^x*x + 2*x^2)/4)*(17 + E^x*(-7 - 7*x) + 4*x))/4,x]","e^{\frac{x^2}{2}-\frac{7 e^x x}{4}+\frac{17 x}{4}}-x","e^{\frac{1}{4} x \left(-7 \left(e^x-1\right)+2 x+10\right)}-x",1,"E^((17*x)/4 - (7*E^x*x)/4 + x^2/2) - x","A",1
4930,1,9,14,0.0000721,"\int (5-2 x) \, dx","Integrate[5 - 2*x,x]","5 x-x^2","(5-x) x+6 e^{16}+6",1,"5*x - x^2","A",1
4931,1,17,27,0.0132237,"\int \frac{1}{5} \left(-10 x+e^{1-2 x+x^2} (-8+8 x)\right) \, dx","Integrate[(-10*x + E^(1 - 2*x + x^2)*(-8 + 8*x))/5,x]","\frac{4}{5} e^{(x-1)^2}-x^2","\frac{4}{5} \left(e^{\frac{\left(x-x^2\right)^2}{x^2}}+5\right)-x^2",1,"(4*E^(-1 + x)^2)/5 - x^2","A",1
4932,1,19,16,0.0062761,"\int \frac{3-48 x+32 x^2}{3 x-19 x^2+16 x^3} \, dx","Integrate[(3 - 48*x + 32*x^2)/(3*x - 19*x^2 + 16*x^3),x]","2 \log (3-16 x)-\log (1-x)+\log (x)","\log \left(\frac{25 (3-16 x)^2 x}{x-1}\right)",1,"2*Log[3 - 16*x] - Log[1 - x] + Log[x]","A",1
4933,1,15,18,0.0089989,"\int \frac{9+60 e-66 x-47 x^2-8 x^3}{9+6 x+x^2} \, dx","Integrate[(9 + 60*E - 66*x - 47*x^2 - 8*x^3)/(9 + 6*x + x^2),x]","-4 x^2+x-\frac{60 e}{x+3}","4 \left(\frac{5 e}{x+3}-x\right) x+x-9",1,"x - 4*x^2 - (60*E)/(3 + x)","A",1
4934,1,25,23,0.0148453,"\int \frac{48+e^{4 x} (24-48 x)+e^{e^2} \left(-16+e^{4 x} (-8+16 x)\right)}{x^3} \, dx","Integrate[(48 + E^(4*x)*(24 - 48*x) + E^E^2*(-16 + E^(4*x)*(-8 + 16*x)))/x^3,x]","8 \left(e^{e^2}-3\right) \left(\frac{e^{4 x}}{2 x^2}+\frac{1}{x^2}\right)","4-\frac{4 \left(e^{e^2}-3\right) \left(-e^{4 x}-2\right)}{x^2}",1,"8*(-3 + E^E^2)*(x^(-2) + E^(4*x)/(2*x^2))","A",1
4935,1,22,26,0.1233296,"\int \frac{-18+12 x^4-2 x^8+e^x \left(6 x^4-2 x^8\right)+e^x \left(24 x^4+6 x^5-2 x^9\right) \log (x)}{9 x-6 x^5+x^9} \, dx","Integrate[(-18 + 12*x^4 - 2*x^8 + E^x*(6*x^4 - 2*x^8) + E^x*(24*x^4 + 6*x^5 - 2*x^9)*Log[x])/(9*x - 6*x^5 + x^9),x]","-\frac{2 \left(\left(e^x+1\right) x^4-3\right) \log (x)}{x^4-3}","\log \left(\frac{1}{9} x^{\frac{2 e^x x}{\frac{3}{x^3}-x}-2}\right)",1,"(-2*(-3 + (1 + E^x)*x^4)*Log[x])/(-3 + x^4)","A",1
4936,1,45,32,0.2652515,"\int \frac{16 x+8 x^2-7 x^3-2 x^4+x^5+e^{-\frac{2 x}{-4-x+x^2}} \left(48-16 x-21 x^2-5 x^3+7 x^4-x^5\right)+\left(-48-8 x+29 x^2-x^3-5 x^4+x^5\right) \log \left(-\frac{10}{-3+x}\right)}{e^{-\frac{4 x}{-4-x+x^2}} \left(-48-8 x+29 x^2-x^3-5 x^4+x^5\right)+e^{-\frac{2 x}{-4-x+x^2}} \left(96+16 x-58 x^2+2 x^3+10 x^4-2 x^5\right) \log \left(-\frac{10}{-3+x}\right)+\left(-48-8 x+29 x^2-x^3-5 x^4+x^5\right) \log ^2\left(-\frac{10}{-3+x}\right)} \, dx","Integrate[(16*x + 8*x^2 - 7*x^3 - 2*x^4 + x^5 + (48 - 16*x - 21*x^2 - 5*x^3 + 7*x^4 - x^5)/E^((2*x)/(-4 - x + x^2)) + (-48 - 8*x + 29*x^2 - x^3 - 5*x^4 + x^5)*Log[-10/(-3 + x)])/((-48 - 8*x + 29*x^2 - x^3 - 5*x^4 + x^5)/E^((4*x)/(-4 - x + x^2)) + ((96 + 16*x - 58*x^2 + 2*x^3 + 10*x^4 - 2*x^5)*Log[-10/(-3 + x)])/E^((2*x)/(-4 - x + x^2)) + (-48 - 8*x + 29*x^2 - x^3 - 5*x^4 + x^5)*Log[-10/(-3 + x)]^2),x]","\frac{e^{\frac{2 x}{x^2-x-4}} x}{e^{\frac{2 x}{x^2-x-4}} \log \left(-\frac{10}{x-3}\right)-1}","\frac{x}{\log \left(\frac{10}{3-x}\right)-e^{\frac{2 x}{-x^2+x+4}}}",1,"(E^((2*x)/(-4 - x + x^2))*x)/(-1 + E^((2*x)/(-4 - x + x^2))*Log[-10/(-3 + x)])","A",1
4937,1,28,30,0.2143099,"\int \frac{-8-12 x-4 x^2-100 x^4-50 x^5+\left(-4-4 x-300 x^3-150 x^4\right) \log (x)+\left(-300 x^2-150 x^3\right) \log ^2(x)+\left(-100 x-50 x^2\right) \log ^3(x)}{25 x^4+75 x^3 \log (x)+75 x^2 \log ^2(x)+25 x \log ^3(x)} \, dx","Integrate[(-8 - 12*x - 4*x^2 - 100*x^4 - 50*x^5 + (-4 - 4*x - 300*x^3 - 150*x^4)*Log[x] + (-300*x^2 - 150*x^3)*Log[x]^2 + (-100*x - 50*x^2)*Log[x]^3)/(25*x^4 + 75*x^3*Log[x] + 75*x^2*Log[x]^2 + 25*x*Log[x]^3),x]","-\frac{2}{25} \left(\frac{25 x^2}{2}+50 x-\frac{2 (x+\log (x)+1)}{(x+\log (x))^2}\right)","-x^2-4 x+\frac{1}{25} \left(\frac{2}{x+\log (x)}+1\right)^2-4-\log (3)",1,"(-2*(50*x + (25*x^2)/2 - (2*(1 + x + Log[x]))/(x + Log[x])^2))/25","A",1
4938,1,22,25,0.0223158,"\int \frac{e^{\frac{1}{5} (-4+2 x-\log (5))} (-180+72 x)-18 e^{\frac{1}{5} (-4+2 x-\log (5))} x \log \left(x^4\right)}{5 x} \, dx","Integrate[(E^((-4 + 2*x - Log[5])/5)*(-180 + 72*x) - 18*E^((-4 + 2*x - Log[5])/5)*x*Log[x^4])/(5*x),x]","-\frac{9 e^{\frac{2 (x-2)}{5}} \left(\log \left(x^4\right)-4\right)}{\sqrt[5]{5}}","9 e^{\frac{1}{5} (2 x-4-\log (5))} \left(4-\log \left(x^4\right)\right)",1,"(-9*E^((2*(-2 + x))/5)*(-4 + Log[x^4]))/5^(1/5)","A",1
4939,1,18,20,0.096435,"\int \frac{-35+180 x^2+36 x^2 \log (3)+\left(-5+60 x^2+12 x^2 \log (3)\right) \log (x)+\left(5 x^2+x^2 \log (3)\right) \log ^2(x)}{36 x^2+12 x^2 \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(-35 + 180*x^2 + 36*x^2*Log[3] + (-5 + 60*x^2 + 12*x^2*Log[3])*Log[x] + (5*x^2 + x^2*Log[3])*Log[x]^2)/(36*x^2 + 12*x^2*Log[x] + x^2*Log[x]^2),x]","x (5+\log (3))+\frac{5}{x (\log (x)+6)}","x \log (3)+5 \left(x+\frac{1}{x (\log (x)+6)}\right)-2",1,"x*(5 + Log[3]) + 5/(x*(6 + Log[x]))","A",1
4940,1,20,22,0.0302152,"\int \frac{1}{6} \left(24 x+36 x^2+e^{3+2 x} \left(3 x^2+2 x^3\right)\right) \, dx","Integrate[(24*x + 36*x^2 + E^(3 + 2*x)*(3*x^2 + 2*x^3))/6,x]","\frac{1}{6} x^2 \left(\left(e^{2 x+3}+12\right) x+12\right)","2 x \left(\frac{1}{12} e^{2 x+3} x^2+x^2+x\right)",1,"(x^2*(12 + (12 + E^(3 + 2*x))*x))/6","A",1
4941,1,21,20,0.0827142,"\int \frac{e^{-16+x} \left(-13+39 x+11 x^2-x^3\right)-13 e^{-16+x} x \log (x)}{13 x} \, dx","Integrate[(E^(-16 + x)*(-13 + 39*x + 11*x^2 - x^3) - 13*E^(-16 + x)*x*Log[x])/(13*x),x]","-\frac{1}{13} e^{x-16} \left(x^2-13 x+13 \log (x)-26\right)","e^{x-16} \left(-\frac{x^2}{13}+x-\log (x)+2\right)",1,"-1/13*(E^(-16 + x)*(-26 - 13*x + x^2 + 13*Log[x]))","A",1
4942,1,27,27,0.4545791,"\int \frac{e^{4-x+x^2} \left(5 x^2-x^3+\left(-15 x^2+7 x^3-11 x^4+2 x^5\right) \log (x) \log (\log (x))\right)}{\left(225-90 x+9 x^2\right) \log (x) \log ^2(\log (x))} \, dx","Integrate[(E^(4 - x + x^2)*(5*x^2 - x^3 + (-15*x^2 + 7*x^3 - 11*x^4 + 2*x^5)*Log[x]*Log[Log[x]]))/((225 - 90*x + 9*x^2)*Log[x]*Log[Log[x]]^2),x]","\frac{e^{x^2-x+4} x^3}{9 (x-5) \log (\log (x))}","\frac{e^{x^2-x+4} x^3}{9 (x-5) \log (\log (x))}",1,"(E^(4 - x + x^2)*x^3)/(9*(-5 + x)*Log[Log[x]])","A",1
4943,1,26,31,0.2713089,"\int \frac{e^{-2 x} \left(-7 e^{5+2 x}+e^5 \left(2 x^2-6 x^3+2 x^4\right)+e^{5+2 x} \log \left(x^2\right)\right)}{x^2} \, dx","Integrate[(-7*E^(5 + 2*x) + E^5*(2*x^2 - 6*x^3 + 2*x^4) + E^(5 + 2*x)*Log[x^2])/(E^(2*x)*x^2),x]","-\frac{e^5 \left(e^{-2 x} (x-2) x^2+\log \left(x^2\right)-5\right)}{x}","\frac{e^5 \left(-e^{-2 x} (x-2) x^2-\log \left(x^2\right)+2 x+5\right)}{x}",1,"-((E^5*(-5 + ((-2 + x)*x^2)/E^(2*x) + Log[x^2]))/x)","A",1
4944,1,18,18,0.2891966,"\int \frac{\left(6 x^2+2 x^3\right) \log (1-x)+\left(3+x-4 x^2\right) \log ^2(1-x)+\left(\left(6 x+2 x^2\right) \log (1-x)+\left(-x+x^2\right) \log ^2(1-x)\right) \log (x)}{-x^3+x^4+\left(-2 x^2+2 x^3\right) \log (x)+\left(-x+x^2\right) \log ^2(x)} \, dx","Integrate[((6*x^2 + 2*x^3)*Log[1 - x] + (3 + x - 4*x^2)*Log[1 - x]^2 + ((6*x + 2*x^2)*Log[1 - x] + (-x + x^2)*Log[1 - x]^2)*Log[x])/(-x^3 + x^4 + (-2*x^2 + 2*x^3)*Log[x] + (-x + x^2)*Log[x]^2),x]","\frac{(x+3) \log ^2(1-x)}{x+\log (x)}","\frac{(x+3) \log ^2(1-x)}{x+\log (x)}",1,"((3 + x)*Log[1 - x]^2)/(x + Log[x])","A",1
4945,1,24,20,0.0526548,"\int \frac{-2-2 x-3 x^2+(-2-4 x) \log (x)-\log ^2(x)+\left(2+x^2+2 x \log (x)+\log ^2(x)\right) \log \left(\frac{1}{2} \left(2 x+x^3+2 x^2 \log (x)+x \log ^2(x)\right)\right)}{\left(2+x^2+2 x \log (x)+\log ^2(x)\right) \log ^2\left(\frac{1}{2} \left(2 x+x^3+2 x^2 \log (x)+x \log ^2(x)\right)\right)} \, dx","Integrate[(-2 - 2*x - 3*x^2 + (-2 - 4*x)*Log[x] - Log[x]^2 + (2 + x^2 + 2*x*Log[x] + Log[x]^2)*Log[(2*x + x^3 + 2*x^2*Log[x] + x*Log[x]^2)/2])/((2 + x^2 + 2*x*Log[x] + Log[x]^2)*Log[(2*x + x^3 + 2*x^2*Log[x] + x*Log[x]^2)/2]^2),x]","\frac{x}{\log \left(\frac{1}{2} x \left(x^2+\log ^2(x)+2 x \log (x)+2\right)\right)}","\frac{x}{\log \left(x+\frac{1}{2} x (x+\log (x))^2\right)}+4",1,"x/Log[(x*(2 + x^2 + 2*x*Log[x] + Log[x]^2))/2]","A",1
4946,1,52,23,0.0982281,"\int \frac{216-900 x+630 x^2+72 x^3-92 x^4-x^5+3 x^6+\left(-18+204 x-52 x^2-20 x^3+2 x^4\right) \log (x)+\left(-11 x-x^2\right) \log ^2(x)+\left(-144+906 x-254 x^2-184 x^3+22 x^4+9 x^5+\left(6-108 x-8 x^2+6 x^3\right) \log (x)+x \log ^2(x)\right) \log (3+x)+\left(24-322 x-48 x^2+45 x^3+9 x^4+\left(14 x+4 x^2\right) \log (x)\right) \log ^2(3+x)+\left(40 x+22 x^2+3 x^3\right) \log ^3(3+x)}{-27 x+27 x^2-9 x^3+x^4+\left(27 x-18 x^2+3 x^3\right) \log (3+x)+\left(-9 x+3 x^2\right) \log ^2(3+x)+x \log ^3(3+x)} \, dx","Integrate[(216 - 900*x + 630*x^2 + 72*x^3 - 92*x^4 - x^5 + 3*x^6 + (-18 + 204*x - 52*x^2 - 20*x^3 + 2*x^4)*Log[x] + (-11*x - x^2)*Log[x]^2 + (-144 + 906*x - 254*x^2 - 184*x^3 + 22*x^4 + 9*x^5 + (6 - 108*x - 8*x^2 + 6*x^3)*Log[x] + x*Log[x]^2)*Log[3 + x] + (24 - 322*x - 48*x^2 + 45*x^3 + 9*x^4 + (14*x + 4*x^2)*Log[x])*Log[3 + x]^2 + (40*x + 22*x^2 + 3*x^3)*Log[3 + x]^3)/(-27*x + 27*x^2 - 9*x^3 + x^4 + (27*x - 18*x^2 + 3*x^3)*Log[3 + x] + (-9*x + 3*x^2)*Log[3 + x]^2 + x*Log[3 + x]^3),x]","x^3+11 x^2+40 x+\frac{2 (x+3) (x+4) (x+\log (x))}{x+\log (x+3)-3}+\frac{(x+3) (x+\log (x))^2}{(x+\log (x+3)-3)^2}","(x+3) \left(x+\frac{x+\log (x)}{x+\log (x+3)-3}+4\right)^2",1,"40*x + 11*x^2 + x^3 + ((3 + x)*(x + Log[x])^2)/(-3 + x + Log[3 + x])^2 + (2*(3 + x)*(4 + x)*(x + Log[x]))/(-3 + x + Log[3 + x])","B",1
4947,1,89,34,0.1073164,"\int \frac{1}{2} \left(-2 e^x+12 x^2+60 x^3+100 x^4+52 x^5+\left(9 x+60 x^2+142 x^3+116 x^4+25 x^5\right) \log (x)+\left(9 x+45 x^2+72 x^3+43 x^4+3 x^5\right) \log ^2(x)+\left(9 x^2+18 x^3+5 x^4\right) \log ^3(x)+2 x^3 \log ^4(x)\right) \, dx","Integrate[(-2*E^x + 12*x^2 + 60*x^3 + 100*x^4 + 52*x^5 + (9*x + 60*x^2 + 142*x^3 + 116*x^4 + 25*x^5)*Log[x] + (9*x + 45*x^2 + 72*x^3 + 43*x^4 + 3*x^5)*Log[x]^2 + (9*x^2 + 18*x^3 + 5*x^4)*Log[x]^3 + 2*x^3*Log[x]^4)/2,x]","\frac{1}{4} \left(4 \left(4 x^4 (x+1)^2-e^x\right)+x^4 \log ^4(x)+8 x^3 (x+1)^2 (x+3) \log (x)+2 x^3 \left(x^2+4 x+3\right) \log ^3(x)+x^2 \left(x^4+16 x^3+30 x^2+24 x+9\right) \log ^2(x)\right)","\frac{1}{4} x^2 ((x (-\log (x)-4)-3) (x+\log (x))-x)^2-e^x",1,"(4*(-E^x + 4*x^4*(1 + x)^2) + 8*x^3*(1 + x)^2*(3 + x)*Log[x] + x^2*(9 + 24*x + 30*x^2 + 16*x^3 + x^4)*Log[x]^2 + 2*x^3*(3 + 4*x + x^2)*Log[x]^3 + x^4*Log[x]^4)/4","B",1
4948,1,23,25,5.0611621,"\int \frac{e^{-x} \left(e^x (-8-4 x)+20 x+\left(-40 x+30 x^2-5 x^3+e^x \left(8+6 x-2 x^2\right)\right) \log \left(\frac{4-x}{x}\right)\right)}{-4+x} \, dx","Integrate[(E^x*(-8 - 4*x) + 20*x + (-40*x + 30*x^2 - 5*x^3 + E^x*(8 + 6*x - 2*x^2))*Log[(4 - x)/x])/(E^x*(-4 + x)),x]","x \left(5 e^{-x} x-x-2\right) \log \left(\frac{4}{x}-1\right)","x \left(5 e^{-x} x-x-2\right) \log \left(\frac{4-x}{x}\right)",1,"x*(-2 - x + (5*x)/E^x)*Log[-1 + 4/x]","A",1
4949,1,18,19,0.0017302,"\int \frac{4-27 x-8 x^2-16 x^4}{x} \, dx","Integrate[(4 - 27*x - 8*x^2 - 16*x^4)/x,x]","-4 x^4-4 x^2-27 x+4 \log (x)","x-4 \left(x^4+x^2+7 x-\log (x)-6\right)",1,"-27*x - 4*x^2 - 4*x^4 + 4*Log[x]","A",1
4950,1,42,30,0.1294915,"\int \frac{e^{-x} \left(x-x^2+e^x \left(x-60 x^2\right)-22 e^x x^2 \log (x)-2 e^x x^2 \log ^2(x)+e^{e^x} \left(10 e^x+25 e^{2 x} x+\left(2 e^x+10 e^{2 x} x\right) \log (x)+e^{2 x} x \log ^2(x)\right)\right)}{x} \, dx","Integrate[(x - x^2 + E^x*(x - 60*x^2) - 22*E^x*x^2*Log[x] - 2*E^x*x^2*Log[x]^2 + E^E^x*(10*E^x + 25*E^(2*x)*x + (2*E^x + 10*E^(2*x)*x)*Log[x] + E^(2*x)*x*Log[x]^2))/(E^x*x),x]","-25 x^2+x^2 \left(-\log ^2(x)\right)-10 x^2 \log (x)+e^{-x} x+x+e^{e^x} (\log (x)+5)^2","\left(e^{e^x}-x^2\right) (\log (x)+5)^2+e^{-x} x+x+2+\log (5)",1,"x + x/E^x - 25*x^2 - 10*x^2*Log[x] - x^2*Log[x]^2 + E^E^x*(5 + Log[x])^2","A",1
4951,1,40,28,0.3057358,"\int \frac{\exp \left(\frac{16+16 e^x+3 x^2+16 \log ^2(3)-3 x^2 \log ^2(x)}{1+e^x+\log ^2(3)}\right) \left(6 x+e^x \left(6 x-3 x^2\right)+6 x \log ^2(3)+\left(-6 x-6 e^x x-6 x \log ^2(3)\right) \log (x)+\left(-6 x+e^x \left(-6 x+3 x^2\right)-6 x \log ^2(3)\right) \log ^2(x)\right)}{1+e^{2 x}+2 \log ^2(3)+\log ^4(3)+e^x \left(2+2 \log ^2(3)\right)} \, dx","Integrate[(E^((16 + 16*E^x + 3*x^2 + 16*Log[3]^2 - 3*x^2*Log[x]^2)/(1 + E^x + Log[3]^2))*(6*x + E^x*(6*x - 3*x^2) + 6*x*Log[3]^2 + (-6*x - 6*E^x*x - 6*x*Log[3]^2)*Log[x] + (-6*x + E^x*(-6*x + 3*x^2) - 6*x*Log[3]^2)*Log[x]^2))/(1 + E^(2*x) + 2*Log[3]^2 + Log[3]^4 + E^x*(2 + 2*Log[3]^2)),x]","\exp \left(-\frac{3 x^2 \log ^2(x)}{e^x+1+\log ^2(3)}+\frac{3 x^2}{e^x+1+\log ^2(3)}+16\right)","e^{16-\frac{x^2 \left(3 \log ^2(x)-3\right)}{e^x+1+\log ^2(3)}}",1,"E^(16 + (3*x^2)/(1 + E^x + Log[3]^2) - (3*x^2*Log[x]^2)/(1 + E^x + Log[3]^2))","A",1
4952,1,19,19,0.1930899,"\int \frac{-60+169 x^2+\left(-5+26 x^2\right) \log ^2(4)+x^2 \log ^4(4)+\left(5-26 x^2-2 x^2 \log ^2(4)\right) \log (x)+x^2 \log ^2(x)}{169 x^2+26 x^2 \log ^2(4)+x^2 \log ^4(4)+\left(-26 x^2-2 x^2 \log ^2(4)\right) \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(-60 + 169*x^2 + (-5 + 26*x^2)*Log[4]^2 + x^2*Log[4]^4 + (5 - 26*x^2 - 2*x^2*Log[4]^2)*Log[x] + x^2*Log[x]^2)/(169*x^2 + 26*x^2*Log[4]^2 + x^2*Log[4]^4 + (-26*x^2 - 2*x^2*Log[4]^2)*Log[x] + x^2*Log[x]^2),x]","x-\frac{5}{x \left(\log (x)-13-\log ^2(4)\right)}","x+\frac{5}{x \left(-\log (x)+13+\log ^2(4)\right)}",1,"x - 5/(x*(-13 - Log[4]^2 + Log[x]))","A",1
4953,1,15,18,0.0132026,"\int \frac{2-e^{25}+e^x (-1+x)}{5 x^2} \, dx","Integrate[(2 - E^25 + E^x*(-1 + x))/(5*x^2),x]","\frac{e^x-2+e^{25}}{5 x}","\frac{-x+e^x+e^{25}-2}{5 x}",1,"(-2 + E^25 + E^x)/(5*x)","A",1
4954,1,49,34,0.2475798,"\int \frac{100+560 x+960 x^2+504 x^3-48 x^4-96 x^5-64 x^6+e^{3 x^2} \left(8 x^3-x^6\right)+\left(-130-464 x-384 x^2+12 x^3+48 x^4+48 x^5\right) \log ^2(5)+\left(56+96 x-6 x^3-12 x^4\right) \log ^4(5)+\left(-8+x^3\right) \log ^6(5)+e^{2 x^2} \left(60 x^2+96 x^3+8 x^4-6 x^5-12 x^6+\left(-24 x^2+3 x^5\right) \log ^2(5)\right)+e^{x^2} \left(140 x+480 x^2+404 x^3+20 x^4-48 x^5-48 x^6+\left(-116 x-192 x^2-8 x^3+12 x^4+24 x^5\right) \log ^2(5)+\left(24 x-3 x^4\right) \log ^4(5)\right)}{8 x^3+48 x^4+96 x^5+64 x^6+e^{3 x^2} x^6+\left(-12 x^3-48 x^4-48 x^5\right) \log ^2(5)+\left(6 x^3+12 x^4\right) \log ^4(5)-x^3 \log ^6(5)+e^{2 x^2} \left(6 x^5+12 x^6-3 x^5 \log ^2(5)\right)+e^{x^2} \left(12 x^4+48 x^5+48 x^6+\left(-12 x^4-24 x^5\right) \log ^2(5)+3 x^4 \log ^4(5)\right)} \, dx","Integrate[(100 + 560*x + 960*x^2 + 504*x^3 - 48*x^4 - 96*x^5 - 64*x^6 + E^(3*x^2)*(8*x^3 - x^6) + (-130 - 464*x - 384*x^2 + 12*x^3 + 48*x^4 + 48*x^5)*Log[5]^2 + (56 + 96*x - 6*x^3 - 12*x^4)*Log[5]^4 + (-8 + x^3)*Log[5]^6 + E^(2*x^2)*(60*x^2 + 96*x^3 + 8*x^4 - 6*x^5 - 12*x^6 + (-24*x^2 + 3*x^5)*Log[5]^2) + E^x^2*(140*x + 480*x^2 + 404*x^3 + 20*x^4 - 48*x^5 - 48*x^6 + (-116*x - 192*x^2 - 8*x^3 + 12*x^4 + 24*x^5)*Log[5]^2 + (24*x - 3*x^4)*Log[5]^4))/(8*x^3 + 48*x^4 + 96*x^5 + 64*x^6 + E^(3*x^2)*x^6 + (-12*x^3 - 48*x^4 - 48*x^5)*Log[5]^2 + (6*x^3 + 12*x^4)*Log[5]^4 - x^3*Log[5]^6 + E^(2*x^2)*(6*x^5 + 12*x^6 - 3*x^5*Log[5]^2) + E^x^2*(12*x^4 + 48*x^5 + 48*x^6 + (-12*x^4 - 24*x^5)*Log[5]^2 + 3*x^4*Log[5]^4)),x]","-\frac{x^3+\frac{\left(2 \left(e^{x^2}+4\right) x+5-2 \log ^2(5)\right)^2}{\left(\left(e^{x^2}+4\right) x+2-\log ^2(5)\right)^2}}{x^2}","-\frac{\left(\frac{1}{e^{x^2} x+4 x+2-\log ^2(5)}+2\right)^2}{x^2}-x+5",1,"-((x^3 + (5 + 2*(4 + E^x^2)*x - 2*Log[5]^2)^2/(2 + (4 + E^x^2)*x - Log[5]^2)^2)/x^2)","A",1
4955,1,21,25,0.5675887,"\int \frac{e^x \left(-7+x+9 x^2+x^3-x^4\right)+e^x \left(7-9 x-2 x^2+x^3\right) \log (x)}{49 x^2-14 x^3-13 x^4+2 x^5+x^6} \, dx","Integrate[(E^x*(-7 + x + 9*x^2 + x^3 - x^4) + E^x*(7 - 9*x - 2*x^2 + x^3)*Log[x])/(49*x^2 - 14*x^3 - 13*x^4 + 2*x^5 + x^6),x]","\frac{e^x (\log (x)-x)}{x \left(x^2+x-7\right)}","\frac{e^x (x-\log (x))}{x \left(-(x+1)^2+x+8\right)}",1,"(E^x*(-x + Log[x]))/(x*(-7 + x + x^2))","A",1
4956,1,27,27,0.3732709,"\int \frac{x^2+e^{\frac{2}{x^2}} \left(4+x^2\right)+\left(x^2+e^{\frac{2}{x^2}} x^2\right) \log \left(\frac{1+e^{\frac{2}{x^2}}}{5 x}\right)+\log ^2\left(\frac{1+e^{\frac{2}{x^2}}}{5 x}\right) \left(x^2+e^{\frac{2}{x^2}} x^2+e^x \left(x^2+x^3+e^{\frac{2}{x^2}} \left(x^2+x^3\right)\right)+\left(x^2+e^{\frac{2}{x^2}} x^2\right) \log (x)\right)}{\left(x^2+e^{\frac{2}{x^2}} x^2\right) \log ^2\left(\frac{1+e^{\frac{2}{x^2}}}{5 x}\right)} \, dx","Integrate[(x^2 + E^(2/x^2)*(4 + x^2) + (x^2 + E^(2/x^2)*x^2)*Log[(1 + E^(2/x^2))/(5*x)] + Log[(1 + E^(2/x^2))/(5*x)]^2*(x^2 + E^(2/x^2)*x^2 + E^x*(x^2 + x^3 + E^(2/x^2)*(x^2 + x^3)) + (x^2 + E^(2/x^2)*x^2)*Log[x]))/((x^2 + E^(2/x^2)*x^2)*Log[(1 + E^(2/x^2))/(5*x)]^2),x]","x \left(\frac{1}{\log \left(\frac{e^{\frac{2}{x^2}}+1}{5 x}\right)}+e^x+\log (x)\right)","x \left(\frac{1}{\log \left(\frac{e^{\frac{2}{x^2}}+1}{5 x}\right)}+e^x+\log (x)\right)",1,"x*(E^x + Log[(1 + E^(2/x^2))/(5*x)]^(-1) + Log[x])","A",1
4957,1,37,21,0.1228298,"\int \frac{1-6 x+3 x^2+e^x \left(-2-2 x+2 x^2\right)+e^{4 x} \left(-2-8 x+8 x^2+e^x (-12+10 x)\right)}{1-2 x+x^2} \, dx","Integrate[(1 - 6*x + 3*x^2 + E^x*(-2 - 2*x + 2*x^2) + E^(4*x)*(-2 - 8*x + 8*x^2 + E^x*(-12 + 10*x)))/(1 - 2*x + x^2),x]","\frac{3 x^2+2 e^x x+2 e^{4 x} x-3 x+2 e^{5 x}+2}{x-1}","x+\frac{2 \left(x+e^x\right) \left(x+e^{4 x}\right)}{x-1}",1,"(2 + 2*E^(5*x) - 3*x + 2*E^x*x + 2*E^(4*x)*x + 3*x^2)/(-1 + x)","A",1
4958,1,26,26,0.3398114,"\int \frac{1}{5} \exp \left(-x-\frac{2}{5} e^{-x} \left(5 e^{2 x}-4 x+5 e^x x\right)\right) \left(32 x^2-40 e^{2 x} x^2-32 x^3+e^x \left(40 x-40 x^2\right)\right) \, dx","Integrate[(E^(-x - (2*(5*E^(2*x) - 4*x + 5*E^x*x))/(5*E^x))*(32*x^2 - 40*E^(2*x)*x^2 - 32*x^3 + E^x*(40*x - 40*x^2)))/5,x]","4 e^{\frac{8 e^{-x} x}{5}-2 x-2 e^x} x^2","4 e^{\frac{8 e^{-x} x}{5}-2 x-2 e^x} x^2",1,"4*E^(-2*E^x - 2*x + (8*x)/(5*E^x))*x^2","A",1
4959,1,26,29,0.7484537,"\int \frac{4-2 x+e^x (-4+2 x)+\left(12-18 x+12 x^2+e^x \left(-12+14 x-10 x^2\right)\right) \log (x)+\left(-8+e^x (8-8 x)+8 x\right) \log (x) \log \left(\left(x-e^x x\right) \log (x)\right)}{\left(8 x^3-12 x^4+6 x^5-x^6+e^x \left(-8 x^3+12 x^4-6 x^5+x^6\right)\right) \log (x)} \, dx","Integrate[(4 - 2*x + E^x*(-4 + 2*x) + (12 - 18*x + 12*x^2 + E^x*(-12 + 14*x - 10*x^2))*Log[x] + (-8 + E^x*(8 - 8*x) + 8*x)*Log[x]*Log[(x - E^x*x)*Log[x]])/((8*x^3 - 12*x^4 + 6*x^5 - x^6 + E^x*(-8*x^3 + 12*x^4 - 6*x^5 + x^6))*Log[x]),x]","\frac{2 \left(2 x+\log \left(-\left(\left(e^x-1\right) x \log (x)\right)\right)-1\right)}{(x-2)^2 x^2}","\frac{2 \left(2 x+\log \left(\left(1-e^x\right) x \log (x)\right)-1\right)}{(2-x)^2 x^2}",1,"(2*(-1 + 2*x + Log[-((-1 + E^x)*x*Log[x])]))/((-2 + x)^2*x^2)","A",1
4960,1,20,15,0.0063191,"\int \frac{-1-18 e^4-81 e^8+\left(6 e^4+54 e^8\right) \log (20)-9 e^8 \log ^2(20)}{e^8 x^2} \, dx","Integrate[(-1 - 18*E^4 - 81*E^8 + (6*E^4 + 54*E^8)*Log[20] - 9*E^8*Log[20]^2)/(E^8*x^2),x]","\frac{\left(1-3 e^4 (\log (20)-3)\right)^2}{e^8 x}","\frac{\left(9+\frac{1}{e^4}-3 \log (20)\right)^2}{x}",1,"(1 - 3*E^4*(-3 + Log[20]))^2/(E^8*x)","A",1
4961,1,17,24,0.002643,"\int \left(1-e^x+2 e^4 x+3 x^2\right) \, dx","Integrate[1 - E^x + 2*E^4*x + 3*x^2,x]","x^3+e^4 x^2+x-e^x","x^2 \left(\frac{x+\frac{4}{3}}{x^2}+x+e^4\right)-e^x",1,"-E^x + x + E^4*x^2 + x^3","A",1
4962,1,21,22,0.1196254,"\int \frac{-5-5 x^2+\left(-5-15 x^2\right) \log (x)+\left(2+6 x^2\right) \log ^2(x)}{\left(-5 x-5 x^3\right) \log (x)+\left(2 x+2 x^3\right) \log ^2(x)} \, dx","Integrate[(-5 - 5*x^2 + (-5 - 15*x^2)*Log[x] + (2 + 6*x^2)*Log[x]^2)/((-5*x - 5*x^3)*Log[x] + (2*x + 2*x^3)*Log[x]^2),x]","\log \left(x^2+1\right)+\log (x)-\log (5-2 \log (x))+\log (\log (x))","\log \left(\frac{5 x \left(x^2+1\right)}{e^6 \left(\frac{5}{\log (x)}-2\right)}\right)",1,"Log[x] + Log[1 + x^2] - Log[5 - 2*Log[x]] + Log[Log[x]]","A",1
4963,1,24,24,0.0024209,"\int \frac{-24+9 (6-2 x) (6-x)+4 x+(6-x) \left(i \pi +\log \left(-2+e^4\right)\right)}{-6+x} \, dx","Integrate[(-24 + 9*(6 - 2*x)*(6 - x) + 4*x + (6 - x)*(I*Pi + Log[-2 + E^4]))/(-6 + x),x]","9 x^2-i \pi  x-50 x-x \log \left(e^4-2\right)","x \left(-9 (6-x)-i \pi +4-\log \left(e^4-2\right)\right)",1,"-50*x - I*Pi*x + 9*x^2 - x*Log[-2 + E^4]","A",1
4964,1,25,22,0.0904314,"\int \frac{2960 x+1865 x^2+300 x^3+15 x^4+e^x \left(640 x+480 x^2+90 x^3+5 x^4\right)}{64+16 x+x^2} \, dx","Integrate[(2960*x + 1865*x^2 + 300*x^3 + 15*x^4 + E^x*(640*x + 480*x^2 + 90*x^3 + 5*x^4))/(64 + 16*x + x^2),x]","5 \left(x^3+\left(e^x+6\right) x^2-11 x-\frac{704}{x+8}\right)","5 x^2 \left(x+e^x+\frac{2 x+5}{x+8}+4\right)",1,"5*(-11*x + (6 + E^x)*x^2 + x^3 - 704/(8 + x))","A",1
4965,1,22,18,0.0458857,"\int e^{-4 x-x^2} \left(-16+e^{4 x+x^2} (2-2 x)-8 x\right) \, dx","Integrate[E^(-4*x - x^2)*(-16 + E^(4*x + x^2)*(2 - 2*x) - 8*x),x]","-x^2+4 e^{-x^2-4 x}+2 x","-((x-2) x)+4 e^{-x (x+4)}-3",1,"4*E^(-4*x - x^2) + 2*x - x^2","A",1
4966,1,31,24,0.0032211,"\int \frac{1}{10} \left(-10+6 x^3-7 x^3 \log (x)+2 x^3 \log ^2(x)\right) \, dx","Integrate[(-10 + 6*x^3 - 7*x^3*Log[x] + 2*x^3*Log[x]^2)/10,x]","\frac{x^4}{5}+\frac{1}{20} x^4 \log ^2(x)-\frac{1}{5} x^4 \log (x)-x","\frac{1}{5} x^2 \left(\frac{1}{2} x \log (x)-x\right)^2-x",1,"-x + x^4/5 - (x^4*Log[x])/5 + (x^4*Log[x]^2)/20","A",1
4967,1,28,29,0.2443006,"\int \frac{\left(-405+2 x+x^2\right) \log \left(\frac{1}{2} \left(405-2 x-x^2\right)\right)+\log (x) \left(2 x+2 x^2+\left(405-2 x-x^2\right) \log \left(\frac{1}{2} \left(405-2 x-x^2\right)\right)\right)}{\left(-810 x^2+4 x^3+2 x^4\right) \log (2)} \, dx","Integrate[((-405 + 2*x + x^2)*Log[(405 - 2*x - x^2)/2] + Log[x]*(2*x + 2*x^2 + (405 - 2*x - x^2)*Log[(405 - 2*x - x^2)/2]))/((-810*x^2 + 4*x^3 + 2*x^4)*Log[2]),x]","\frac{\log (x) \log \left(\frac{1}{2} \left(-x^2-2 x+405\right)\right)}{2 x \log (2)}","\frac{\log (x) \log \left(\frac{1}{2} \left(405-x^2\right)-x\right)}{2 x \log (2)}",1,"(Log[x]*Log[(405 - 2*x - x^2)/2])/(2*x*Log[2])","A",1
4968,1,19,19,0.4906043,"\int \frac{e^{\frac{256}{\log ^2\left(5-2 x-x^2+\log (x)\right)}} \left(-512+1024 x+1024 x^2\right)}{\left(5 x-2 x^2-x^3+x \log (x)\right) \log ^3\left(5-2 x-x^2+\log (x)\right)} \, dx","Integrate[(E^(256/Log[5 - 2*x - x^2 + Log[x]]^2)*(-512 + 1024*x + 1024*x^2))/((5*x - 2*x^2 - x^3 + x*Log[x])*Log[5 - 2*x - x^2 + Log[x]]^3),x]","e^{\frac{256}{\log ^2\left(-x^2-2 x+\log (x)+5\right)}}","e^{\frac{256}{\log ^2\left(-x^2-2 x+\log (x)+5\right)}}",1,"E^(256/Log[5 - 2*x - x^2 + Log[x]]^2)","A",1
4969,1,78,29,5.1315151,"\int \frac{-18-30 x+6 x^2+20 x^3+4 x^4+e^{2 e^x} \left(-2 x^3+e^x \left(2 x^3+2 x^4\right)\right)+\left(-6 x-16 x^2-2 x^3+4 x^4\right) \log (x)-2 x^3 \log ^2(x)+e^{e^x} \left(-6 x-16 x^2-2 x^3+4 x^4+e^x \left(6 x^2+6 x^3-4 x^4-4 x^5\right)+\left(-4 x^3+e^x \left(2 x^3+2 x^4\right)\right) \log (x)\right)}{9 x^3+27 x^4+27 x^5+9 x^6} \, dx","Integrate[(-18 - 30*x + 6*x^2 + 20*x^3 + 4*x^4 + E^(2*E^x)*(-2*x^3 + E^x*(2*x^3 + 2*x^4)) + (-6*x - 16*x^2 - 2*x^3 + 4*x^4)*Log[x] - 2*x^3*Log[x]^2 + E^E^x*(-6*x - 16*x^2 - 2*x^3 + 4*x^4 + E^x*(6*x^2 + 6*x^3 - 4*x^4 - 4*x^5) + (-4*x^3 + E^x*(2*x^3 + 2*x^4))*Log[x]))/(9*x^3 + 27*x^4 + 27*x^5 + 9*x^6),x]","\frac{-8 x^3+e^{e^x} \left(6 x-4 x^3\right)+e^{2 e^x} x^2-16 x^2+x^2 \log ^2(x)-2 \left(2 x^2-e^{e^x} x-3\right) x \log (x)+9}{9 x^2 (x+1)^2}","\frac{\left(x \left(-2 x+e^{e^x}+\log (x)\right)+3\right)^2}{\left(3 x^2+3 x\right)^2}",1,"(9 - 16*x^2 + E^(2*E^x)*x^2 - 8*x^3 + E^E^x*(6*x - 4*x^3) - 2*x*(-3 - E^E^x*x + 2*x^2)*Log[x] + x^2*Log[x]^2)/(9*x^2*(1 + x)^2)","B",1
4970,1,20,20,0.1819358,"\int \frac{1}{80} 3^{5+x^2} x^{-10-x^2} \left(81+9 x^2+18 x^2 \log \left(\frac{x}{3}\right)\right) \, dx","Integrate[(3^(5 + x^2)*x^(-10 - x^2)*(81 + 9*x^2 + 18*x^2*Log[x/3]))/80,x]","-\frac{1}{80} 3^{x^2+7} x^{-x^2-9}","-\frac{1}{80} 3^{x^2+7} x^{-x^2-9}",1,"-1/80*(3^(7 + x^2)*x^(-9 - x^2))","A",1
4971,1,19,19,0.0608103,"\int \frac{-2 x+e^{3+x} x \left(-2-2 x+x^2\right)}{-2 x^2+x^3+e^{3+x} x \left(-2 x+x^2\right)} \, dx","Integrate[(-2*x + E^(3 + x)*x*(-2 - 2*x + x^2))/(-2*x^2 + x^3 + E^(3 + x)*x*(-2*x + x^2)),x]","\log \left(e^{x+3}+1\right)-\log (2-x)+\log (x)","\log \left(\frac{16 \left(e^{x+3} x+x\right)}{2-x}\right)",1,"Log[1 + E^(3 + x)] - Log[2 - x] + Log[x]","A",1
4972,1,14,20,0.0040932,"\int -\frac{440}{576+4 e^{16}-2640 x+3025 x^2+e^8 (-96+220 x)} \, dx","Integrate[-440/(576 + 4*E^16 - 2640*x + 3025*x^2 + E^8*(-96 + 220*x)),x]","\frac{8}{55 x+2 e^8-24}","\frac{4}{-3 \left(\frac{x}{2}+4\right)+29 x+e^8}",1,"8/(-24 + 2*E^8 + 55*x)","A",1
4973,1,29,29,0.0022989,"\int \frac{-3125+6250 x-1250 x^2+9225 x^3-4 x^4}{3125 x} \, dx","Integrate[(-3125 + 6250*x - 1250*x^2 + 9225*x^3 - 4*x^4)/(3125*x),x]","-\frac{x^4}{3125}+\frac{123 x^3}{125}-\frac{x^2}{5}+2 x-\log (x)","x^3-\frac{1}{5} \left(\frac{x^2}{25}+x\right)^2+2 x-\log (2 x)-4",1,"2*x - x^2/5 + (123*x^3)/125 - x^4/3125 - Log[x]","A",1
4974,1,18,27,0.0829712,"\int \frac{14+25 e^{-5+e^5-x} (-2-x)}{x^3} \, dx","Integrate[(14 + 25*E^(-5 + E^5 - x)*(-2 - x))/x^3,x]","\frac{25 e^{-x+e^5-5}-7}{x^2}","-\frac{7-25 e^{-x+e^5-5}}{x^2}+5-\log ^2(3)",1,"(-7 + 25*E^(-5 + E^5 - x))/x^2","A",1
4975,1,16,18,0.0092156,"\int \frac{-4+e^x \left(-200 x+50 x^2\right)}{-4 x+x^2} \, dx","Integrate[(-4 + E^x*(-200*x + 50*x^2))/(-4*x + x^2),x]","50 e^x-\log (4-x)+\log (x)","\log \left(\frac{e^{50 e^x} x}{6 (x-4)}\right)",1,"50*E^x - Log[4 - x] + Log[x]","A",1
4976,1,51,24,0.0906857,"\int \frac{1}{3} \left(-6 x+e^{x/3} \left(6+x+e^4 (3+x)+e^2 (6+2 x)\right)+e^{x/3} (3+x) \log (x)\right) \, dx","Integrate[(-6*x + E^(x/3)*(6 + x + E^4*(3 + x) + E^2*(6 + 2*x)) + E^(x/3)*(3 + x)*Log[x])/3,x]","\frac{1}{3} \left(-3 x^2-9 e^{x/3}+e^{x/3} \left(3 \left(1+e^2\right)^2 x+9\right)+3 e^{x/3} x \log (x)\right)","x \left(e^{x/3} \left(\log (x)+\left(1+e^2\right)^2\right)-x\right)",1,"(-9*E^(x/3) - 3*x^2 + E^(x/3)*(9 + 3*(1 + E^2)^2*x) + 3*E^(x/3)*x*Log[x])/3","B",1
4977,1,22,31,0.0877459,"\int \frac{-810+81 x^3+18 x^6 \log (x)+\left(180 x^4+36 x^6-18 x^7\right) \log ^2(x)+\left(-10 x^8+x^{11}\right) \log ^4(x)}{81 x^3-18 x^7 \log ^2(x)+x^{11} \log ^4(x)} \, dx","Integrate[(-810 + 81*x^3 + 18*x^6*Log[x] + (180*x^4 + 36*x^6 - 18*x^7)*Log[x]^2 + (-10*x^8 + x^11)*Log[x]^4)/(81*x^3 - 18*x^7*Log[x]^2 + x^11*Log[x]^4),x]","\frac{9}{9-x^4 \log ^2(x)}+\frac{5}{x^2}+x","-\frac{\frac{x}{1-\frac{9}{x^4 \log ^2(x)}}-\frac{5}{x}}{x}+x-\frac{49}{16}",1,"5/x^2 + x + 9/(9 - x^4*Log[x]^2)","A",1
4978,1,28,28,0.2527708,"\int \frac{3 e^8+2 e^{13}-9 x-6 x^2-x^3+e^4 \left(-9-6 x-x^2\right)+\left(-6 e^4 x-4 e^9 x\right) \log (x)+\left(3 x^2+2 e^5 x^2\right) \log ^2(x)}{e^8 \left(9+6 x+x^2\right)+e^4 \left(-18 x-12 x^2-2 x^3\right) \log (x)+\left(9 x^2+6 x^3+x^4\right) \log ^2(x)} \, dx","Integrate[(3*E^8 + 2*E^13 - 9*x - 6*x^2 - x^3 + E^4*(-9 - 6*x - x^2) + (-6*E^4*x - 4*E^9*x)*Log[x] + (3*x^2 + 2*E^5*x^2)*Log[x]^2)/(E^8*(9 + 6*x + x^2) + E^4*(-18*x - 12*x^2 - 2*x^3)*Log[x] + (9*x^2 + 6*x^3 + x^4)*Log[x]^2),x]","\frac{-3-2 e^5}{x+3}+\frac{x}{x \log (x)-e^4}","\frac{x-2 e^5}{x+3}+\frac{x}{x \log (x)-e^4}",1,"(-3 - 2*E^5)/(3 + x) + x/(-E^4 + x*Log[x])","A",1
4979,1,31,32,1.9895753,"\int e^{-e^3-e^x x+2 x^3-2 x^2 \log (x)} \left(-1-10 x+32 x^2-6 x^3+e^x \left(-5-4 x+x^2\right)+\left(-20 x+4 x^2\right) \log (x)\right) \, dx","Integrate[E^(-E^3 - E^x*x + 2*x^3 - 2*x^2*Log[x])*(-1 - 10*x + 32*x^2 - 6*x^3 + E^x*(-5 - 4*x + x^2) + (-20*x + 4*x^2)*Log[x]),x]","-e^{2 x^3-e^x x-e^3} (x-5) x^{-2 x^2}","8-(x-5) e^{-x \left(e^x+\frac{e^3}{x}+2 x (\log (x)-x)\right)}",1,"-((E^(-E^3 - E^x*x + 2*x^3)*(-5 + x))/x^(2*x^2))","A",1
4980,1,58,36,0.0816289,"\int \frac{1}{8} \left(10+9 x-18 x^2+e^2 (-2+4 x)+e^{-4+x} \left(-2-14 x-6 x^2+e^2 (2+2 x)\right)\right) \, dx","Integrate[(10 + 9*x - 18*x^2 + E^2*(-2 + 4*x) + E^(-4 + x)*(-2 - 14*x - 6*x^2 + E^2*(2 + 2*x)))/8,x]","\frac{1}{8} \left(-6 x^3+2 e^2 x^2+\frac{9 x^2}{2}+2 e^x \left(\frac{\left(e^2-1\right) x}{e^4}-\frac{3 x^2}{e^4}\right)-2 e^2 x+10 x\right)","\frac{1}{4} \left(\frac{x}{4}+\left(-x-e^{x-4}+1\right) \left(3 x-e^2+1\right)\right) x+x",1,"(10*x - 2*E^2*x + (9*x^2)/2 + 2*E^2*x^2 - 6*x^3 + 2*E^x*(((-1 + E^2)*x)/E^4 - (3*x^2)/E^4))/8","A",1
4981,1,24,16,0.0094157,"\int \frac{-240 e^4-360 x+240 x^2}{9-24 x+16 x^2} \, dx","Integrate[(-240*E^4 - 360*x + 240*x^2)/(9 - 24*x + 16*x^2),x]","-\frac{120 \left(8 x^2-12 x+8 e^4+9\right)}{48-64 x}","\frac{15 \left(x^2+e^4\right)}{x-\frac{3}{4}}",1,"(-120*(9 + 8*E^4 - 12*x + 8*x^2))/(48 - 64*x)","A",1
4982,1,11,15,0.0029965,"\int -\frac{e^{2-x}}{81} \, dx","Integrate[-1/81*E^(2 - x),x]","\frac{e^{2-x}}{81}","\frac{1}{81} \left(e^{2-x}-\frac{10}{3}\right)",1,"E^(2 - x)/81","A",1
4983,1,20,27,0.147329,"\int \frac{3+5 x^2+2 x^3+\left(3+x-5 x^2-x^3\right) \log \left(\frac{3+x-5 x^2-x^3}{x}\right)}{-3 x^2-x^3+5 x^4+x^5} \, dx","Integrate[(3 + 5*x^2 + 2*x^3 + (3 + x - 5*x^2 - x^3)*Log[(3 + x - 5*x^2 - x^3)/x])/(-3*x^2 - x^3 + 5*x^4 + x^5),x]","\frac{\log \left(-x^2-5 x+\frac{3}{x}+1\right)}{x}","\frac{\log \left((x-1)^2-x-x (2 x+2)+\frac{3}{x}\right)}{x}",1,"Log[1 + 3/x - 5*x - x^2]/x","A",1
4984,1,23,24,0.3649569,"\int \frac{-5 x^2+e^{e^{\frac{4}{x^2}}} \left(e^{\frac{4}{x^2}} (120-24 x)-15 x^2\right)}{x^4+6 e^{e^{\frac{4}{x^2}}} x^4+9 e^{2 e^{\frac{4}{x^2}}} x^4} \, dx","Integrate[(-5*x^2 + E^E^(4/x^2)*(E^(4/x^2)*(120 - 24*x) - 15*x^2))/(x^4 + 6*E^E^(4/x^2)*x^4 + 9*E^(2*E^(4/x^2))*x^4),x]","-\frac{x-5}{\left(3 e^{e^{\frac{4}{x^2}}}+1\right) x}","\frac{5-x}{\left(3 e^{e^{\frac{4}{x^2}}}+1\right) x}",1,"-((-5 + x)/((1 + 3*E^E^(4/x^2))*x))","A",1
4985,1,21,25,0.0204834,"\int \frac{1200+e^x (-1200-25 x)+25 x-50 \log \left(\frac{48+x}{12}\right)}{48+x} \, dx","Integrate[(1200 + E^x*(-1200 - 25*x) + 25*x - 50*Log[(48 + x)/12])/(48 + x),x]","-25 e^x+25 x-25 \log ^2\left(\frac{x}{12}+4\right)","25 \left(-e^x+x-\log ^2\left(\frac{x}{12}+4\right)+e^3+1\right)",1,"-25*E^x + 25*x - 25*Log[4 + x/12]^2","A",1
4986,1,26,27,0.2614966,"\int \frac{-x+(32+2 x) \log (16+x)}{-64 x^3-4 x^4+\left(64 x+4 x^2\right) \log (16+x)+\left(-16 x^3-x^4+\left(16 x+x^2\right) \log (16+x)\right) \log \left(\frac{e^3 x^2}{-x^2 \log (2)+\log (2) \log (16+x)}\right)} \, dx","Integrate[(-x + (32 + 2*x)*Log[16 + x])/(-64*x^3 - 4*x^4 + (64*x + 4*x^2)*Log[16 + x] + (-16*x^3 - x^4 + (16*x + x^2)*Log[16 + x])*Log[(E^3*x^2)/(-(x^2*Log[2]) + Log[2]*Log[16 + x])]),x]","\log \left(-\log \left(-\frac{x^2}{x^2-\log (x+16)}\right)-7+\log (\log (2))\right)","\log \left(\log \left(\frac{e^3 x^2}{\log (2) \left(\log (x+16)-x^2\right)}\right)+4\right)",1,"Log[-7 + Log[Log[2]] - Log[-(x^2/(x^2 - Log[16 + x]))]]","A",1
4987,1,42,24,0.0075634,"\int \frac{e^6-4 x^2-2 e^8 x^2-6 x^3+e^4 \left(6 x^2+3 x^3\right)}{e^6 x} \, dx","Integrate[(E^6 - 4*x^2 - 2*E^8*x^2 - 6*x^3 + E^4*(6*x^2 + 3*x^3))/(E^6*x),x]","\frac{x^3}{e^2}-\frac{2 x^3}{e^6}-e^2 x^2+\frac{3 x^2}{e^2}-\frac{2 x^2}{e^6}+\log (x)","\log (x)-\frac{\left(e^4-2\right) \left(-x+e^4-1\right) x^2}{e^6}",1,"(-2*x^2)/E^6 + (3*x^2)/E^2 - E^2*x^2 - (2*x^3)/E^6 + x^3/E^2 + Log[x]","A",1
4988,1,9,12,0.0014879,"\int \frac{1}{2} \left(7+2 e^x\right) \, dx","Integrate[(7 + 2*E^x)/2,x]","\frac{7 x}{2}+e^x","\frac{7 x}{2}+e^x-\frac{9}{4}",1,"E^x + (7*x)/2","A",1
4989,1,33,32,0.126629,"\int \frac{\exp \left(\frac{2 \left(-2+x \log \left(\frac{3-2 x+e^{\frac{4}{621+50 x+x^2}} x}{x}\right)\right)}{x}\right) \left(4627692-4653774 x-824496 x^2-51188 x^3-1388 x^4-14 x^5+e^{\frac{4}{621+50 x+x^2}} \left(1542564 x+248400 x^2+14568 x^3+384 x^4+4 x^5\right)\right)}{1156923 x^2-584982 x^3-112974 x^4-7184 x^5-197 x^6-2 x^7+e^{\frac{4}{621+50 x+x^2}} \left(385641 x^3+62100 x^4+3742 x^5+100 x^6+x^7\right)} \, dx","Integrate[(E^((2*(-2 + x*Log[(3 - 2*x + E^(4/(621 + 50*x + x^2))*x)/x]))/x)*(4627692 - 4653774*x - 824496*x^2 - 51188*x^3 - 1388*x^4 - 14*x^5 + E^(4/(621 + 50*x + x^2))*(1542564*x + 248400*x^2 + 14568*x^3 + 384*x^4 + 4*x^5)))/(1156923*x^2 - 584982*x^3 - 112974*x^4 - 7184*x^5 - 197*x^6 - 2*x^7 + E^(4/(621 + 50*x + x^2))*(385641*x^3 + 62100*x^4 + 3742*x^5 + 100*x^6 + x^7)),x]","\frac{e^{-4/x} \left(\left(e^{\frac{4}{x^2+50 x+621}}-2\right) x+3\right)^2}{x^2}","e^{-4/x} \left(e^{\frac{4}{(x+25)^2-4}}+\frac{3}{x}-2\right)^2-1",1,"(3 + (-2 + E^(4/(621 + 50*x + x^2)))*x)^2/(E^(4/x)*x^2)","A",1
4990,1,17,17,0.0522158,"\int \frac{6 x^3+3 x^2 \log (2)+\left(9 x^3+9 x^2 \log (2)\right) \log \left(\frac{1}{4} \left(x^2+x \log (2)\right)\right)}{10 x+10 \log (2)} \, dx","Integrate[(6*x^3 + 3*x^2*Log[2] + (9*x^3 + 9*x^2*Log[2])*Log[(x^2 + x*Log[2])/4])/(10*x + 10*Log[2]),x]","\frac{3}{10} x^3 \log \left(\frac{1}{4} x (x+\log (2))\right)","\frac{3}{10} x^3 \log \left(\frac{1}{4} x (x+\log (2))\right)",1,"(3*x^3*Log[(x*(x + Log[2]))/4])/10","A",1
4991,1,47,31,0.1580468,"\int \frac{e^4 x^2-e x^4+e^x \left(-48+16 x+\left(-16 x+8 x^2\right) \log (5)+\left(-x^2+x^3\right) \log ^2(5)\right)}{e x^4} \, dx","Integrate[(E^4*x^2 - E*x^4 + E^x*(-48 + 16*x + (-16*x + 8*x^2)*Log[5] + (-x^2 + x^3)*Log[5]^2))/(E*x^4),x]","\frac{16 e^{x-1}}{x^3}+\frac{8 e^{x-1} \log (5)}{x^2}-x-\frac{e^3}{x}+\frac{e^{x-1} \log ^2(5)}{x}","-x-\frac{e^3}{x}+\frac{e^{x-1} \left(\frac{4}{x}+\log (5)\right)^2}{x}",1,"(16*E^(-1 + x))/x^3 - E^3/x - x + (8*E^(-1 + x)*Log[5])/x^2 + (E^(-1 + x)*Log[5]^2)/x","A",1
4992,1,85,23,0.0257277,"\int \frac{-10000-30000 x-19600 x^2+200 x^3+792 x^5-24 x^6+48 x^7+64 x^8+e^4 \left(16 x^5+32 x^6\right)+e^2 \left(400 x^2+800 x^3+8 x^5-64 x^6-96 x^7\right)}{x^5} \, dx","Integrate[(-10000 - 30000*x - 19600*x^2 + 200*x^3 + 792*x^5 - 24*x^6 + 48*x^7 + 64*x^8 + E^4*(16*x^5 + 32*x^6) + E^2*(400*x^2 + 800*x^3 + 8*x^5 - 64*x^6 - 96*x^7))/x^5,x]","8 \left(2 x^4+\frac{625}{2 x^4}-2 \left(2 e^2-1\right) x^3+\frac{1250}{x^3}+\frac{1}{2} \left(-3-8 e^2+4 e^4\right) x^2-\frac{25 \left(e^2-49\right)}{x^2}+\left(99+e^2+2 e^4\right) x-\frac{25 \left(1+4 e^2\right)}{x}\right)","\left(-\left(\left(-\frac{25}{x^2}-x+e^2\right) (4 x+2)\right)-2\right)^2",1,"8*(625/(2*x^4) + 1250/x^3 - (25*(-49 + E^2))/x^2 - (25*(1 + 4*E^2))/x + (99 + E^2 + 2*E^4)*x + ((-3 - 8*E^2 + 4*E^4)*x^2)/2 - 2*(-1 + 2*E^2)*x^3 + 2*x^4)","B",1
4993,1,34,32,0.2029006,"\int \frac{40 x^3+42 x^4-2 x^6+e^{3 x} \left(2 x+6 x^2+2 x^3\right)+e^{2 x} \left(20 x+38 x^2-32 x^3-16 x^4\right)+e^x \left(50 x+40 x^2-182 x^3-24 x^4+16 x^5\right)+\left(-8 x^3-10 x^4-2 x^5+e^{2 x} \left(-4 x-10 x^2+2 x^3+2 x^4\right)+e^x \left(-20 x-28 x^2+60 x^3+20 x^4-2 x^5\right)\right) \log \left(9+27 x+9 x^2\right)+e^x \left(2 x+4 x^2-4 x^3-2 x^4\right) \log ^2\left(9+27 x+9 x^2\right)}{-x^3-3 x^4-x^5+e^{3 x} \left(1+3 x+x^2\right)+e^{2 x} \left(-3 x-9 x^2-3 x^3\right)+e^x \left(3 x^2+9 x^3+3 x^4\right)} \, dx","Integrate[(40*x^3 + 42*x^4 - 2*x^6 + E^(3*x)*(2*x + 6*x^2 + 2*x^3) + E^(2*x)*(20*x + 38*x^2 - 32*x^3 - 16*x^4) + E^x*(50*x + 40*x^2 - 182*x^3 - 24*x^4 + 16*x^5) + (-8*x^3 - 10*x^4 - 2*x^5 + E^(2*x)*(-4*x - 10*x^2 + 2*x^3 + 2*x^4) + E^x*(-20*x - 28*x^2 + 60*x^3 + 20*x^4 - 2*x^5))*Log[9 + 27*x + 9*x^2] + E^x*(2*x + 4*x^2 - 4*x^3 - 2*x^4)*Log[9 + 27*x + 9*x^2]^2)/(-x^3 - 3*x^4 - x^5 + E^(3*x)*(1 + 3*x + x^2) + E^(2*x)*(-3*x - 9*x^2 - 3*x^3) + E^x*(3*x^2 + 9*x^3 + 3*x^4)),x]","\frac{x^2 \left(\log \left(9 \left(x^2+3 x+1\right)\right)+x-e^x-5\right)^2}{\left(e^x-x\right)^2}","\left(x+x \left(\frac{5-\log \left(9 \left((x+1)^2+x\right)\right)}{x-e^x}-2\right)\right)^2",1,"(x^2*(-5 - E^x + x + Log[9*(1 + 3*x + x^2)])^2)/(E^x - x)^2","A",1
4994,1,34,32,0.1252497,"\int \frac{\exp \left(\frac{\left(-9 x-27 x^2\right) \log ^2(3)}{-x-x^2+e^4 (1+3 x)}\right) \left(x^2+2 x^3+x^4+e^8 \left(1+6 x+9 x^2\right)+e^4 \left(-2 x-8 x^2-6 x^3\right)+\left(18 x^3+e^4 \left(-9 x-54 x^2-81 x^3\right)\right) \log ^2(3)\right)}{x^2+2 x^3+x^4+e^8 \left(1+6 x+9 x^2\right)+e^4 \left(-2 x-8 x^2-6 x^3\right)} \, dx","Integrate[(E^(((-9*x - 27*x^2)*Log[3]^2)/(-x - x^2 + E^4*(1 + 3*x)))*(x^2 + 2*x^3 + x^4 + E^8*(1 + 6*x + 9*x^2) + E^4*(-2*x - 8*x^2 - 6*x^3) + (18*x^3 + E^4*(-9*x - 54*x^2 - 81*x^3))*Log[3]^2))/(x^2 + 2*x^3 + x^4 + E^8*(1 + 6*x + 9*x^2) + E^4*(-2*x - 8*x^2 - 6*x^3)),x]","x \exp \left(\frac{9 x (3 x+1) \log ^2(3)}{x (x+1)-e^4 (3 x+1)}\right)","x e^{\frac{9 x \log ^2(3)}{\frac{x^2+x}{3 x+1}-e^4}}",1,"E^((9*x*(1 + 3*x)*Log[3]^2)/(x*(1 + x) - E^4*(1 + 3*x)))*x","A",1
4995,1,79,26,0.0693827,"\int \frac{1+54 x^4+144 x^5+90 x^6-567 x^8-1296 x^9-729 x^{10}+e^{-4+2 x} \left(1-2 x+54 x^4+36 x^5-567 x^8-162 x^9\right)+e^{-2+x} \left(2-2 x-2 x^2+108 x^4+180 x^5+36 x^6-1134 x^8-1458 x^9-162 x^{10}\right)}{x^2} \, dx","Integrate[(1 + 54*x^4 + 144*x^5 + 90*x^6 - 567*x^8 - 1296*x^9 - 729*x^10 + E^(-4 + 2*x)*(1 - 2*x + 54*x^4 + 36*x^5 - 567*x^8 - 162*x^9) + E^(-2 + x)*(2 - 2*x - 2*x^2 + 108*x^4 + 180*x^5 + 36*x^6 - 1134*x^8 - 1458*x^9 - 162*x^10))/x^2,x]","\frac{-e^{2 x} \left(1-9 x^4\right)^2-2 e^{x+2} (x+1) \left(1-9 x^4\right)^2+e^4 \left(-81 x^{10}-162 x^9-81 x^8+18 x^6+36 x^5+18 x^4-1\right)}{e^4 x}","x-\frac{\left(x+e^{x-2}+1\right)^2 \left(1-9 x^4\right)^2}{x}",1,"(-(E^(2*x)*(1 - 9*x^4)^2) - 2*E^(2 + x)*(1 + x)*(1 - 9*x^4)^2 + E^4*(-1 + 18*x^4 + 36*x^5 + 18*x^6 - 81*x^8 - 162*x^9 - 81*x^10))/(E^4*x)","B",1
4996,1,24,24,0.1003305,"\int \frac{20^{\frac{1}{\log \left(\frac{1}{16} \left(64+16 x+x^2+(-64-8 x) \log \left(3+e^{e^x}\right)+16 \log ^2\left(3+e^{e^x}\right)\right)\right)}} \left(6 \log (20)+e^{e^x} \left(2 \log (20)-8 e^x \log (20)\right)\right)}{\left(-24+e^{e^x} (-8-x)-3 x+\left(12+4 e^{e^x}\right) \log \left(3+e^{e^x}\right)\right) \log ^2\left(\frac{1}{16} \left(64+16 x+x^2+(-64-8 x) \log \left(3+e^{e^x}\right)+16 \log ^2\left(3+e^{e^x}\right)\right)\right)} \, dx","Integrate[(20^Log[(64 + 16*x + x^2 + (-64 - 8*x)*Log[3 + E^E^x] + 16*Log[3 + E^E^x]^2)/16]^(-1)*(6*Log[20] + E^E^x*(2*Log[20] - 8*E^x*Log[20])))/((-24 + E^E^x*(-8 - x) - 3*x + (12 + 4*E^E^x)*Log[3 + E^E^x])*Log[(64 + 16*x + x^2 + (-64 - 8*x)*Log[3 + E^E^x] + 16*Log[3 + E^E^x]^2)/16]^2),x]","20^{\frac{1}{\log \left(\frac{1}{16} \left(x-4 \log \left(e^{e^x}+3\right)+8\right)^2\right)}}","20^{\frac{1}{\log \left(\left(\frac{x}{4}-\log \left(e^{e^x}+3\right)+2\right)^2\right)}}",1,"20^Log[(8 + x - 4*Log[3 + E^E^x])^2/16]^(-1)","A",1
4997,1,36,27,0.5707039,"\int \frac{e^{\frac{-x-x^2+e^x \left(10+5 x-5 x^2\right)}{x \log (3)}} \left(-x^2+e^x \left(-10+10 x-5 x^3\right)\right)+x^2 \log (3)}{x^2 \log (3)} \, dx","Integrate[(E^((-x - x^2 + E^x*(10 + 5*x - 5*x^2))/(x*Log[3]))*(-x^2 + E^x*(-10 + 10*x - 5*x^3)) + x^2*Log[3])/(x^2*Log[3]),x]","\exp \left(-\frac{x}{\log (3)}-\frac{5 e^x (x-2) (x+1)}{x \log (3)}-\frac{1}{\log (3)}\right)+x","x+e^{\frac{\left(\frac{5 e^x (2-x)}{x}-1\right) (x+1)}{\log (3)}}",1,"E^(-Log[3]^(-1) - x/Log[3] - (5*E^x*(-2 + x)*(1 + x))/(x*Log[3])) + x","A",1
4998,1,59,35,0.1001413,"\int \frac{-225-30 x-4 x^2-6 x^3-x^4+e^{12} \left(-625-250 x-25 x^2\right)+e^9 \left(-2000-525 x+50 x^2+15 x^3\right)+e^3 \left(-1200-215 x+40 x^2+4 x^3-2 x^4\right)+e^6 \left(-2350-500 x+115 x^2+25 x^3-x^4\right)}{225 x+240 x^2+94 x^3+16 x^4+x^5+e^{12} \left(625 x+250 x^2+25 x^3\right)+e^9 \left(2000 x+1150 x^2+200 x^3+10 x^4\right)+e^6 \left(2350 x+1750 x^2+435 x^3+40 x^4+x^5\right)+e^3 \left(1200 x+1090 x^2+350 x^3+46 x^4+2 x^5\right)} \, dx","Integrate[(-225 - 30*x - 4*x^2 - 6*x^3 - x^4 + E^12*(-625 - 250*x - 25*x^2) + E^9*(-2000 - 525*x + 50*x^2 + 15*x^3) + E^3*(-1200 - 215*x + 40*x^2 + 4*x^3 - 2*x^4) + E^6*(-2350 - 500*x + 115*x^2 + 25*x^3 - x^4))/(225*x + 240*x^2 + 94*x^3 + 16*x^4 + x^5 + E^12*(625*x + 250*x^2 + 25*x^3) + E^9*(2000*x + 1150*x^2 + 200*x^3 + 10*x^4) + E^6*(2350*x + 1750*x^2 + 435*x^3 + 40*x^4 + x^5) + E^3*(1200*x + 1090*x^2 + 350*x^3 + 46*x^4 + 2*x^5)),x]","-\frac{5 \left(2 x+5 e^6 (x+5)+e^3 (8 x+30)+9\right)}{x^2+e^3 \left(x^2+15 x+40\right)+8 x+5 e^6 (x+5)+15}-\log (x)","\frac{\frac{x}{x+e^3 (x+5)+3}+x+2}{\frac{x}{5}+e^3+1}-\log (x)",1,"(-5*(9 + 2*x + 5*E^6*(5 + x) + E^3*(30 + 8*x)))/(15 + 8*x + x^2 + 5*E^6*(5 + x) + E^3*(40 + 15*x + x^2)) - Log[x]","A",1
4999,1,23,23,0.028736,"\int \frac{e^{-\frac{-3 x+5 e^2 x \log (x)}{\log (x)}} \left(4 \log ^2(x)+\left(-3 x+3 x \log (x)-5 e^2 x \log ^2(x)\right) \log \left(16 x^4\right)\right)}{x \log ^2(x)} \, dx","Integrate[(4*Log[x]^2 + (-3*x + 3*x*Log[x] - 5*E^2*x*Log[x]^2)*Log[16*x^4])/(E^((-3*x + 5*E^2*x*Log[x])/Log[x])*x*Log[x]^2),x]","e^{\frac{3 x}{\log (x)}-5 e^2 x} \log \left(16 x^4\right)","e^{\frac{3 x}{\log (x)}-5 e^2 x} \log \left(16 x^4\right)",1,"E^(-5*E^2*x + (3*x)/Log[x])*Log[16*x^4]","A",1
5000,1,16,22,0.0012425,"\int \frac{1-2 \log (x)}{2 e} \, dx","Integrate[(1 - 2*Log[x])/(2*E),x]","\frac{3 x-2 x \log (x)}{2 e}","\frac{x+x (-\log (x))+\frac{1}{2} (x-2+4 \log (2))}{e}",1,"(3*x - 2*x*Log[x])/(2*E)","A",1
5001,1,25,20,0.1174727,"\int \frac{324 x^4+195 x^5+26 x^6+x^7+\left(141 x+24 x^2+x^3+1296 x^4+780 x^5+104 x^6+4 x^7\right) \log (x)+\left(324+195 x+26 x^2+x^3\right) \log \left(\frac{27+14 x+x^2}{12+x}\right)}{324 x+195 x^2+26 x^3+x^4} \, dx","Integrate[(324*x^4 + 195*x^5 + 26*x^6 + x^7 + (141*x + 24*x^2 + x^3 + 1296*x^4 + 780*x^5 + 104*x^6 + 4*x^7)*Log[x] + (324 + 195*x + 26*x^2 + x^3)*Log[(27 + 14*x + x^2)/(12 + x)])/(324*x + 195*x^2 + 26*x^3 + x^4),x]","x^4 \log (x)+\log (x) \log \left(\frac{x^2+14 x+27}{x+12}\right)","\log (x) \left(x^4+\log \left(x+\frac{1}{\frac{x}{3}+4}+2\right)\right)",1,"x^4*Log[x] + Log[x]*Log[(27 + 14*x + x^2)/(12 + x)]","A",1
5002,1,99,37,0.2259783,"\int \frac{120 x+116 x^2+36 x^3+58 x^4+54 x^5+18 x^6+2 x^7+e^{3 x} \left(4 x+2 x^4\right)+e^{2 x} \left(36 x+12 x^2+18 x^4+6 x^5\right)+e^x \left(112 x+76 x^2+12 x^3+54 x^4+36 x^5+6 x^6\right)+e^{4 x} \left(54 x^2+2 e^{3 x} x^2+54 x^3+18 x^4+2 x^5+e^{2 x} \left(18 x^2+6 x^3\right)+e^x \left(54 x^2+36 x^3+6 x^4\right)\right)+e^{2 x} \left(-60-180 x-130 x^2-146 x^3-112 x^4-36 x^5-4 x^6+e^{3 x} \left(-2-4 x-4 x^3\right)+e^{2 x} \left(-18-42 x-12 x^2-36 x^3-12 x^4\right)+e^x \left(-56-152 x-78 x^2-120 x^3-72 x^4-12 x^5\right)\right)}{27 x^4+e^{3 x} x^4+27 x^5+9 x^6+x^7+e^{2 x} \left(9 x^4+3 x^5\right)+e^x \left(27 x^4+18 x^5+3 x^6\right)+e^{4 x} \left(27 x^2+e^{3 x} x^2+27 x^3+9 x^4+x^5+e^{2 x} \left(9 x^2+3 x^3\right)+e^x \left(27 x^2+18 x^3+3 x^4\right)\right)+e^{2 x} \left(-54 x^3-2 e^{3 x} x^3-54 x^4-18 x^5-2 x^6+e^{2 x} \left(-18 x^3-6 x^4\right)+e^x \left(-54 x^3-36 x^4-6 x^5\right)\right)} \, dx","Integrate[(120*x + 116*x^2 + 36*x^3 + 58*x^4 + 54*x^5 + 18*x^6 + 2*x^7 + E^(3*x)*(4*x + 2*x^4) + E^(2*x)*(36*x + 12*x^2 + 18*x^4 + 6*x^5) + E^x*(112*x + 76*x^2 + 12*x^3 + 54*x^4 + 36*x^5 + 6*x^6) + E^(4*x)*(54*x^2 + 2*E^(3*x)*x^2 + 54*x^3 + 18*x^4 + 2*x^5 + E^(2*x)*(18*x^2 + 6*x^3) + E^x*(54*x^2 + 36*x^3 + 6*x^4)) + E^(2*x)*(-60 - 180*x - 130*x^2 - 146*x^3 - 112*x^4 - 36*x^5 - 4*x^6 + E^(3*x)*(-2 - 4*x - 4*x^3) + E^(2*x)*(-18 - 42*x - 12*x^2 - 36*x^3 - 12*x^4) + E^x*(-56 - 152*x - 78*x^2 - 120*x^3 - 72*x^4 - 12*x^5)))/(27*x^4 + E^(3*x)*x^4 + 27*x^5 + 9*x^6 + x^7 + E^(2*x)*(9*x^4 + 3*x^5) + E^x*(27*x^4 + 18*x^5 + 3*x^6) + E^(4*x)*(27*x^2 + E^(3*x)*x^2 + 27*x^3 + 9*x^4 + x^5 + E^(2*x)*(9*x^2 + 3*x^3) + E^x*(27*x^2 + 18*x^3 + 3*x^4)) + E^(2*x)*(-54*x^3 - 2*E^(3*x)*x^3 - 54*x^4 - 18*x^5 - 2*x^6 + E^(2*x)*(-18*x^3 - 6*x^4) + E^x*(-54*x^3 - 36*x^4 - 6*x^5))),x]","\frac{2 \left(x^2+\frac{1}{\left(x+e^x+3\right)^2 \left(x^2+5 x+9\right)}+\frac{2 (x+3)}{\left(x+e^x+3\right) \left(x^2+5 x+9\right)^2}+\frac{x^4+10 x^3+44 x^2+97 x-2 e^x (x+3)+90}{\left(e^{2 x}-x\right) \left(x^2+5 x+9\right)^2}\right)}{x}","2 x+\frac{2}{\left(e^{2 x}-x\right) \left(\frac{x}{-\left(x+e^x+3\right)^2-1}+x\right)}",1,"(2*(x^2 + (2*(3 + x))/((3 + E^x + x)*(9 + 5*x + x^2)^2) + 1/((3 + E^x + x)^2*(9 + 5*x + x^2)) + (90 + 97*x + 44*x^2 + 10*x^3 + x^4 - 2*E^x*(3 + x))/((E^(2*x) - x)*(9 + 5*x + x^2)^2)))/x","B",1
5003,1,48,29,0.057275,"\int \frac{12 x^2+4 x^3+(8+4 x) \log ^2\left(5 e^3\right)+\left(2 x^2+2 \log ^2\left(5 e^3\right)\right) \log \left(x^2+\log ^2\left(5 e^3\right)\right)}{x^2+\log ^2\left(5 e^3\right)} \, dx","Integrate[(12*x^2 + 4*x^3 + (8 + 4*x)*Log[5*E^3]^2 + (2*x^2 + 2*Log[5*E^3]^2)*Log[x^2 + Log[5*E^3]^2])/(x^2 + Log[5*E^3]^2),x]","2 x \left(\log \left(x^2+(3+\log (5))^2\right)+x+4\right)+4 (3+\log (5)) \tan ^{-1}\left(\frac{x}{3+\log (5)}\right)+4 (3+\log (5)) \tan ^{-1}\left(\frac{3+\log (5)}{x}\right)","2 \left(x \left(\log \left(x^2+\log ^2\left(5 e^3\right)\right)+x\right)+x\right)+3 (2 x+3)",1,"4*ArcTan[x/(3 + Log[5])]*(3 + Log[5]) + 4*ArcTan[(3 + Log[5])/x]*(3 + Log[5]) + 2*x*(4 + x + Log[x^2 + (3 + Log[5])^2])","A",1
5004,1,30,30,0.2496128,"\int \frac{e^x \left(-x^2+x^3\right)+e^{\frac{3 x^2+30 \log (x)}{x}} \left(-120-12 x^2+4 x^3+120 \log (x)\right)}{e^x x^2+4 e^{\frac{3 x^2+30 \log (x)}{x}} x^2} \, dx","Integrate[(E^x*(-x^2 + x^3) + E^((3*x^2 + 30*Log[x])/x)*(-120 - 12*x^2 + 4*x^3 + 120*Log[x]))/(E^x*x^2 + 4*E^((3*x^2 + 30*Log[x])/x)*x^2),x]","-\log \left(4 e^{2 x} x^{30/x}+1\right)+\frac{x^2}{2}-x","\frac{x^2}{2}-\log \left(e^x+4 e^{3 x+\frac{30 \log (x)}{x}}\right)",1,"-x + x^2/2 - Log[1 + 4*E^(2*x)*x^(30/x)]","A",1
5005,1,11,13,0.0044277,"\int \frac{e^{\frac{4}{3 x^3}} \left(-4+x^3\right)}{x^3} \, dx","Integrate[(E^(4/(3*x^3))*(-4 + x^3))/x^3,x]","e^{\frac{4}{3 x^3}} x","e^{\frac{4}{3 x^3}} x-1",1,"E^(4/(3*x^3))*x","A",1
5006,1,17,23,0.0059108,"\int \frac{-228+20 \log (2)}{11520-2880 x+180 x^2+(-1440+180 x) \log (2)+45 \log ^2(2)} \, dx","Integrate[(-228 + 20*Log[2])/(11520 - 2880*x + 180*x^2 + (-1440 + 180*x)*Log[2] + 45*Log[2]^2),x]","-\frac{2 (\log (32)-57)}{45 (2 x-16+\log (2))}","\frac{2 \left(x+\frac{x+4}{9}-3\right)}{5 (2 x-16+\log (2))}",1,"(-2*(-57 + Log[32]))/(45*(-16 + 2*x + Log[2]))","A",1
5007,1,38,26,0.2689203,"\int \frac{3-6 x+e^{e^x} \left(-1-4 e^x+2 x\right)+(1-2 x) \log (3)-2 e^{e^x+x} \log \left(3-e^{e^x}+\log (3)\right)}{-3+e^{e^x}-\log (3)} \, dx","Integrate[(3 - 6*x + E^E^x*(-1 - 4*E^x + 2*x) + (1 - 2*x)*Log[3] - 2*E^(E^x + x)*Log[3 - E^E^x + Log[3]])/(-3 + E^E^x - Log[3]),x]","x^2-x-\log ^2\left(-e^{e^x}+3+\log (3)\right)-4 \log \left(-e^{e^x}+3+\log (3)\right)-4","x^2-x-\left(\log \left(-e^{e^x}+3+\log (3)\right)+2\right)^2+3",1,"-4 - x + x^2 - 4*Log[3 - E^E^x + Log[3]] - Log[3 - E^E^x + Log[3]]^2","A",1
5008,1,26,27,0.0113936,"\int \left(-1-2 x+e^{2 x} \left(2 x+2 x^2\right)+8 x^7 \log ^4(2)\right) \, dx","Integrate[-1 - 2*x + E^(2*x)*(2*x + 2*x^2) + 8*x^7*Log[2]^4,x]","x^8 \log ^4(2)+e^{2 x} x^2-x^2-x","x^8 \log ^4(2)+e^{2 x} x^2-x^2-x-4",1,"-x - x^2 + E^(2*x)*x^2 + x^8*Log[2]^4","A",1
5009,1,27,24,0.0541026,"\int \frac{1}{8} e^{-x^2} \left(-1+8 e^{x^2}+10 x+2 x^2\right) \, dx","Integrate[(-1 + 8*E^x^2 + 10*x + 2*x^2)/(8*E^x^2),x]","\frac{1}{8} \left(-e^{-x^2} x-5 e^{-x^2}+8 x\right)","\frac{1}{8} \left(-e^{-x^2} (x+5)-3\right)+x-\log (4)",1,"(-5/E^x^2 + 8*x - x/E^x^2)/8","A",1
5010,1,11,14,0.0032016,"\int \frac{16 x}{81-72 x^2+16 x^4} \, dx","Integrate[(16*x)/(81 - 72*x^2 + 16*x^4),x]","\frac{16}{72-32 x^2}","-\frac{2}{\left(4-\frac{9}{x^2}\right) x^2}",1,"16/(72 - 32*x^2)","A",1
5011,1,10,10,0.0122618,"\int \frac{x+(9-x) \log (9-x)}{-9 x^2+x^3} \, dx","Integrate[(x + (9 - x)*Log[9 - x])/(-9*x^2 + x^3),x]","\frac{\log (9-x)}{x}","\frac{\log (9-x)}{x}",1,"Log[9 - x]/x","A",1
5012,1,25,27,2.1358078,"\int \frac{-16 x+e^{e^{25 x^2}} \left(8-16 x+e^{25 x^2} \left(400 x^2-400 x^3\right)\right)}{-25+75 x^2-75 x^4+25 x^6+e^{3 e^{25 x^2}} \left(-25 x^3+75 x^4-75 x^5+25 x^6\right)+e^{2 e^{25 x^2}} \left(-75 x^2+150 x^3-150 x^5+75 x^6\right)+e^{e^{25 x^2}} \left(-75 x+75 x^2+150 x^3-150 x^4-75 x^5+75 x^6\right)} \, dx","Integrate[(-16*x + E^E^(25*x^2)*(8 - 16*x + E^(25*x^2)*(400*x^2 - 400*x^3)))/(-25 + 75*x^2 - 75*x^4 + 25*x^6 + E^(3*E^(25*x^2))*(-25*x^3 + 75*x^4 - 75*x^5 + 25*x^6) + E^(2*E^(25*x^2))*(-75*x^2 + 150*x^3 - 150*x^5 + 75*x^6) + E^E^(25*x^2)*(-75*x + 75*x^2 + 150*x^3 - 150*x^4 - 75*x^5 + 75*x^6)),x]","\frac{4}{25 (x-1)^2 \left(e^{e^{25 x^2}} x+x+1\right)^2}","\frac{4}{25 (1-x)^2 \left(e^{e^{25 x^2}} x+x+1\right)^2}",1,"4/(25*(-1 + x)^2*(1 + x + E^E^(25*x^2)*x)^2)","A",1
5013,1,16,12,0.0015764,"\int \frac{1}{6} (-125-120 x+30 \log (4)) \, dx","Integrate[(-125 - 120*x + 30*Log[4])/6,x]","-10 x^2-\frac{125 x}{6}+5 x \log (4)","5 x \left(-2 x-\frac{25}{6}+\log (4)\right)",1,"(-125*x)/6 - 10*x^2 + 5*x*Log[4]","A",1
5014,1,14,14,0.0096939,"\int e^{-9-e^x} x \left(12 x-4 e^x x^2\right) \, dx","Integrate[E^(-9 - E^x)*x*(12*x - 4*E^x*x^2),x]","4 e^{-e^x-9} x^3","4 e^{-e^x-9} x^3",1,"4*E^(-9 - E^x)*x^3","A",1
5015,1,25,26,0.1215569,"\int \frac{12+2 x+\left(732-1248 x+582 x^2-27 x^3-27 x^4\right) \log (x)+\left(-444+466 x-72 x^2-27 x^3\right) \log (x) \log \left(\frac{6+x}{x \log (x)}\right)+\left(90-39 x-9 x^2\right) \log (x) \log ^2\left(\frac{6+x}{x \log (x)}\right)+(-6-x) \log (x) \log ^3\left(\frac{6+x}{x \log (x)}\right)}{\left(-750+1225 x-585 x^2+27 x^3+27 x^4\right) \log (x)+\left(450-465 x+72 x^2+27 x^3\right) \log (x) \log \left(\frac{6+x}{x \log (x)}\right)+\left(-90+39 x+9 x^2\right) \log (x) \log ^2\left(\frac{6+x}{x \log (x)}\right)+(6+x) \log (x) \log ^3\left(\frac{6+x}{x \log (x)}\right)} \, dx","Integrate[(12 + 2*x + (732 - 1248*x + 582*x^2 - 27*x^3 - 27*x^4)*Log[x] + (-444 + 466*x - 72*x^2 - 27*x^3)*Log[x]*Log[(6 + x)/(x*Log[x])] + (90 - 39*x - 9*x^2)*Log[x]*Log[(6 + x)/(x*Log[x])]^2 + (-6 - x)*Log[x]*Log[(6 + x)/(x*Log[x])]^3)/((-750 + 1225*x - 585*x^2 + 27*x^3 + 27*x^4)*Log[x] + (450 - 465*x + 72*x^2 + 27*x^3)*Log[x]*Log[(6 + x)/(x*Log[x])] + (-90 + 39*x + 9*x^2)*Log[x]*Log[(6 + x)/(x*Log[x])]^2 + (6 + x)*Log[x]*Log[(6 + x)/(x*Log[x])]^3),x]","\frac{x}{\left(3 x+\log \left(\frac{x+6}{x \log (x)}\right)-5\right)^2}-x","\frac{x}{\left(3 x+\log \left(\frac{\frac{6}{x}+1}{\log (x)}\right)-5\right)^2}-x",1,"-x + x/(-5 + 3*x + Log[(6 + x)/(x*Log[x])])^2","A",1
5016,1,51,30,0.1114511,"\int \frac{-100 x^3-200 e^2 x^3-100 e^4 x^3+\left(60 x+100 x^3+100 e^4 x^3+e^4 \left(20 x+20 e^2 x\right)+e^2 \left(60 x+200 x^3\right)\right) \log \left(x^2\right)+\left(-60 x-60 e^2 x+e^4 \left(-20 x-20 e^2 x\right)\right) \log ^2\left(x^2\right)}{\left(9+6 e^4+e^8\right) \log ^3\left(x^2\right)} \, dx","Integrate[(-100*x^3 - 200*E^2*x^3 - 100*E^4*x^3 + (60*x + 100*x^3 + 100*E^4*x^3 + E^4*(20*x + 20*E^2*x) + E^2*(60*x + 200*x^3))*Log[x^2] + (-60*x - 60*E^2*x + E^4*(-20*x - 20*E^2*x))*Log[x^2]^2)/((9 + 6*E^4 + E^8)*Log[x^2]^3),x]","-\frac{20 \left(1+e^2\right) \left(\frac{\left(3+e^4\right) x^2}{2 \log \left(x^2\right)}-\frac{5 \left(1+e^2\right) x^4}{4 \log ^2\left(x^2\right)}\right)}{\left(3+e^4\right)^2}","\left(\frac{\left(5+5 e^2\right) x^2}{\left(-3-e^4\right) \log \left(x^2\right)}+1\right)^2",1,"(-20*(1 + E^2)*((-5*(1 + E^2)*x^4)/(4*Log[x^2]^2) + ((3 + E^4)*x^2)/(2*Log[x^2])))/(3 + E^4)^2","A",1
5017,1,63,28,0.3531238,"\int \frac{125+50 x+5 x^2+(-50-10 x) \log (8)+5 \log ^2(8)+e^{\frac{-6-e^5-6 x-x^2}{-25-5 x+5 \log (8)}} \left(24-e^5+10 x+x^2+(-6-2 x) \log (8)\right)}{125+50 x+5 x^2+(-50-10 x) \log (8)+5 \log ^2(8)} \, dx","Integrate[(125 + 50*x + 5*x^2 + (-50 - 10*x)*Log[8] + 5*Log[8]^2 + E^((-6 - E^5 - 6*x - x^2)/(-25 - 5*x + 5*Log[8]))*(24 - E^5 + 10*x + x^2 + (-6 - 2*x)*Log[8]))/(125 + 50*x + 5*x^2 + (-50 - 10*x)*Log[8] + 5*Log[8]^2),x]","\frac{1}{5} \left(5\ 2^{-\frac{3 \log (8)}{5 (x+5-\log (8))}} e^{\frac{x^2+6 x+e^5+6+\log ^2(8)}{5 (x+5-\log (8))}}+5 (x+5-\log (8))\right)","x+e^{\frac{(x+3)^2+e^5-3}{5 (x+5-\log (8))}}-4",1,"((5*E^((6 + E^5 + 6*x + x^2 + Log[8]^2)/(5*(5 + x - Log[8]))))/2^((3*Log[8])/(5*(5 + x - Log[8]))) + 5*(5 + x - Log[8]))/5","B",0
5018,1,13,16,0.0136066,"\int e^{-e^x} \left(-e^{1+x}+2 e^{e^x} x\right) \, dx","Integrate[(-E^(1 + x) + 2*E^E^x*x)/E^E^x,x]","x^2+e^{1-e^x}","x^2+e^{1-e^x}+1+\log (3)",1,"E^(1 - E^x) + x^2","A",1
5019,1,15,22,0.0802619,"\int e^{2 e^{2 x}-2 x^2} \left(4 e^{2 x}-4 x\right) \, dx","Integrate[E^(2*E^(2*x) - 2*x^2)*(4*E^(2*x) - 4*x),x]","e^{2 e^{2 x}-2 x^2}","e^{2 e^{2 x}-2 x^2}+\frac{105}{16}+e^4",1,"E^(2*E^(2*x) - 2*x^2)","A",1
5020,1,23,23,0.1557459,"\int \frac{216+72 x+e^x \left(-54-45 x-9 x^2\right)}{2 e^{3 x} \log ^4(5)+e^{2 x} (30-6 x) \log ^4(5)+e^x \left(150-60 x+6 x^2\right) \log ^4(5)+\left(250-150 x+30 x^2-2 x^3\right) \log ^4(5)} \, dx","Integrate[(216 + 72*x + E^x*(-54 - 45*x - 9*x^2))/(2*E^(3*x)*Log[5]^4 + E^(2*x)*(30 - 6*x)*Log[5]^4 + E^x*(150 - 60*x + 6*x^2)*Log[5]^4 + (250 - 150*x + 30*x^2 - 2*x^3)*Log[5]^4),x]","\frac{9 (x+3)^2}{4 \left(-x+e^x+5\right)^2 \log ^4(5)}","\frac{9 (x+3)^2}{4 \left(-x+e^x+5\right)^2 \log ^4(5)}",1,"(9*(3 + x)^2)/(4*(5 + E^x - x)^2*Log[5]^4)","A",1
5021,1,12,19,0.0028792,"\int \left(25+25 e^x-25 \log (3)\right) \, dx","Integrate[25 + 25*E^x - 25*Log[3],x]","25 \left(x+e^x+x (-\log (3))\right)","-25 \left(-x-e^x+x \log (3)+e^3+e\right)",1,"25*(E^x + x - x*Log[3])","A",1
5022,1,24,26,0.2768634,"\int \frac{500-5 x^2+125 \log (3)+(-625-125 \log (3)) \log (x)+(-125+125 \log (x)) \log (\log (x))}{25 x^2+10 x^3+x^4+\left(-1250 x-250 x^2+\left(-250 x-50 x^2\right) \log (3)\right) \log (x)+\left(15625+6250 \log (3)+625 \log ^2(3)\right) \log ^2(x)+\left(\left(250 x+50 x^2\right) \log (x)+(-6250-1250 \log (3)) \log ^2(x)\right) \log (\log (x))+625 \log ^2(x) \log ^2(\log (x))} \, dx","Integrate[(500 - 5*x^2 + 125*Log[3] + (-625 - 125*Log[3])*Log[x] + (-125 + 125*Log[x])*Log[Log[x]])/(25*x^2 + 10*x^3 + x^4 + (-1250*x - 250*x^2 + (-250*x - 50*x^2)*Log[3])*Log[x] + (15625 + 6250*Log[3] + 625*Log[3]^2)*Log[x]^2 + ((250*x + 50*x^2)*Log[x] + (-6250 - 1250*Log[3])*Log[x]^2)*Log[Log[x]] + 625*Log[x]^2*Log[Log[x]]^2),x]","\frac{5 x}{x (x+5)+25 \log (x) \left(\log \left(\frac{\log (x)}{3}\right)-5\right)}","\frac{x}{\frac{1}{5} x (x+5)+5 \log (x) (\log (\log (x))-5-\log (3))}",1,"(5*x)/(x*(5 + x) + 25*Log[x]*(-5 + Log[Log[x]/3]))","A",1
5023,1,28,29,0.3064125,"\int \frac{e^{-e^2} \left(-3 x^2+e^{e^2} \left(4+x^2\right)+8 e^{e^2} \log (x)+e^{e^2} \left(-x^3+e^x x^3\right) \log ^2(x)\right)}{x^3 \log ^2(x)} \, dx","Integrate[(-3*x^2 + E^E^2*(4 + x^2) + 8*E^E^2*Log[x] + E^E^2*(-x^3 + E^x*x^3)*Log[x]^2)/(E^E^2*x^3*Log[x]^2),x]","\frac{-\frac{4}{x^2}+3 e^{-e^2}-1}{\log (x)}+e^x-x","\frac{-\frac{4}{x^2}+3 e^{-e^2}-1}{\log (x)}+e^x-x-2",1,"E^x - x + (-1 + 3/E^E^2 - 4/x^2)/Log[x]","A",1
5024,1,110,31,1.186399,"\int e^{-5+x^4+e^{\frac{3 e^{3 x^{-x}}}{x}} \left(-4 e^{3 x} x-12 e^{2 x} x^2-12 e^x x^3-4 x^4\right)+e^{\frac{e^{3 x^{-x}}}{x}} \left(-4 e^x x^3-4 x^4\right)+e^{\frac{4 e^{3 x^{-x}}}{x}} \left(e^{4 x}+4 e^{3 x} x+6 e^{2 x} x^2+4 e^x x^3+x^4\right)+e^{\frac{2 e^{3 x^{-x}}}{x}} \left(6 e^{2 x} x^2+12 e^x x^3+6 x^4\right)} x^{-2-x} \left(4 x^{5+x}+e^{\frac{2 e^{3 x^{-x}}}{x}} \left(x^x \left(24 x^5+e^{2 x} \left(12 x^3+12 x^4\right)+e^x \left(36 x^4+12 x^5\right)\right)+e^{3 x^{-x}} \left(-36 e^{2 x} x^3-72 e^x x^4-36 x^5+x^x \left(-12 e^{2 x} x^2-24 e^x x^3-12 x^4\right)+\left(-36 e^{2 x} x^3-72 e^x x^4-36 x^5\right) \log (x)\right)\right)+e^{\frac{4 e^{3 x^{-x}}}{x}} \left(x^x \left(4 e^{4 x} x^2+4 x^5+e^{3 x} \left(4 x^2+12 x^3\right)+e^{2 x} \left(12 x^3+12 x^4\right)+e^x \left(12 x^4+4 x^5\right)\right)+e^{3 x^{-x}} \left(-12 e^{4 x} x-48 e^{3 x} x^2-72 e^{2 x} x^3-48 e^x x^4-12 x^5+x^x \left(-4 e^{4 x}-16 e^{3 x} x-24 e^{2 x} x^2-16 e^x x^3-4 x^4\right)+\left(-12 e^{4 x} x-48 e^{3 x} x^2-72 e^{2 x} x^3-48 e^x x^4-12 x^5\right) \log (x)\right)\right)+e^{\frac{e^{3 x^{-x}}}{x}} \left(x^x \left(-16 x^5+e^x \left(-12 x^4-4 x^5\right)\right)+e^{3 x^{-x}} \left(12 e^x x^4+12 x^5+x^x \left(4 e^x x^3+4 x^4\right)+\left(12 e^x x^4+12 x^5\right) \log (x)\right)\right)+e^{\frac{3 e^{3 x^{-x}}}{x}} \left(x^x \left(-16 x^5+e^{3 x} \left(-4 x^2-12 x^3\right)+e^{2 x} \left(-24 x^3-24 x^4\right)+e^x \left(-36 x^4-12 x^5\right)\right)+e^{3 x^{-x}} \left(36 e^{3 x} x^2+108 e^{2 x} x^3+108 e^x x^4+36 x^5+x^x \left(12 e^{3 x} x+36 e^{2 x} x^2+36 e^x x^3+12 x^4\right)+\left(36 e^{3 x} x^2+108 e^{2 x} x^3+108 e^x x^4+36 x^5\right) \log (x)\right)\right)\right) \, dx","Integrate[E^(-5 + x^4 + E^((3*E^(3/x^x))/x)*(-4*E^(3*x)*x - 12*E^(2*x)*x^2 - 12*E^x*x^3 - 4*x^4) + E^(E^(3/x^x)/x)*(-4*E^x*x^3 - 4*x^4) + E^((4*E^(3/x^x))/x)*(E^(4*x) + 4*E^(3*x)*x + 6*E^(2*x)*x^2 + 4*E^x*x^3 + x^4) + E^((2*E^(3/x^x))/x)*(6*E^(2*x)*x^2 + 12*E^x*x^3 + 6*x^4))*x^(-2 - x)*(4*x^(5 + x) + E^((2*E^(3/x^x))/x)*(x^x*(24*x^5 + E^(2*x)*(12*x^3 + 12*x^4) + E^x*(36*x^4 + 12*x^5)) + E^(3/x^x)*(-36*E^(2*x)*x^3 - 72*E^x*x^4 - 36*x^5 + x^x*(-12*E^(2*x)*x^2 - 24*E^x*x^3 - 12*x^4) + (-36*E^(2*x)*x^3 - 72*E^x*x^4 - 36*x^5)*Log[x])) + E^((4*E^(3/x^x))/x)*(x^x*(4*E^(4*x)*x^2 + 4*x^5 + E^(3*x)*(4*x^2 + 12*x^3) + E^(2*x)*(12*x^3 + 12*x^4) + E^x*(12*x^4 + 4*x^5)) + E^(3/x^x)*(-12*E^(4*x)*x - 48*E^(3*x)*x^2 - 72*E^(2*x)*x^3 - 48*E^x*x^4 - 12*x^5 + x^x*(-4*E^(4*x) - 16*E^(3*x)*x - 24*E^(2*x)*x^2 - 16*E^x*x^3 - 4*x^4) + (-12*E^(4*x)*x - 48*E^(3*x)*x^2 - 72*E^(2*x)*x^3 - 48*E^x*x^4 - 12*x^5)*Log[x])) + E^(E^(3/x^x)/x)*(x^x*(-16*x^5 + E^x*(-12*x^4 - 4*x^5)) + E^(3/x^x)*(12*E^x*x^4 + 12*x^5 + x^x*(4*E^x*x^3 + 4*x^4) + (12*E^x*x^4 + 12*x^5)*Log[x])) + E^((3*E^(3/x^x))/x)*(x^x*(-16*x^5 + E^(3*x)*(-4*x^2 - 12*x^3) + E^(2*x)*(-24*x^3 - 24*x^4) + E^x*(-36*x^4 - 12*x^5)) + E^(3/x^x)*(36*E^(3*x)*x^2 + 108*E^(2*x)*x^3 + 108*E^x*x^4 + 36*x^5 + x^x*(12*E^(3*x)*x + 36*E^(2*x)*x^2 + 36*E^x*x^3 + 12*x^4) + (36*E^(3*x)*x^2 + 108*E^(2*x)*x^3 + 108*E^x*x^4 + 36*x^5)*Log[x]))),x]","\exp \left(-4 e^{\frac{3 e^{3 x^{-x}}}{x}} \left(x+e^x\right)^3 x+e^{\frac{4 e^{3 x^{-x}}}{x}} \left(x+e^x\right)^4+x^4-4 e^{\frac{e^{3 x^{-x}}}{x}} \left(x+e^x\right) x^3+6 e^{\frac{2 e^{3 x^{-x}}}{x}} \left(x+e^x\right)^2 x^2-5\right)","e^{\left(e^{\frac{e^{3 x^{-x}}}{x}} \left(x+e^x\right)-x\right)^4-5}",1,"E^(-5 + x^4 - 4*E^(E^(3/x^x)/x)*x^3*(E^x + x) + 6*E^((2*E^(3/x^x))/x)*x^2*(E^x + x)^2 - 4*E^((3*E^(3/x^x))/x)*x*(E^x + x)^3 + E^((4*E^(3/x^x))/x)*(E^x + x)^4)","B",1
5025,1,20,20,0.5876641,"\int \exp \left(-x+e^{-x} \left(e^{2 x}+e^x (-3-x)+x-e^x \log (x)+e^x \log (4 x)\right)\right) \left(e^x (1-x)+x+e^{2 x} x-x^2\right) \, dx","Integrate[E^(-x + (E^(2*x) + E^x*(-3 - x) + x - E^x*Log[x] + E^x*Log[4*x])/E^x)*(E^x*(1 - x) + x + E^(2*x)*x - x^2),x]","4 e^{e^{-x} x-x+e^x-3} x","4 e^{e^{-x} x-x+e^x-3} x",1,"4*E^(-3 + E^x - x + x/E^x)*x","A",1
5026,1,32,28,0.1688695,"\int \frac{4 e^{10}+e^{e^{4-4 x+x^2}-x} \left(-2 e^5+e^{9-4 x+x^2} (-8+4 x)\right)}{4 e^{2 e^{4-4 x+x^2}-2 x}+e^{5+e^{4-4 x+x^2}-x} (44+16 x)+e^{10} \left(121+88 x+16 x^2\right)} \, dx","Integrate[(4*E^10 + E^(E^(4 - 4*x + x^2) - x)*(-2*E^5 + E^(9 - 4*x + x^2)*(-8 + 4*x)))/(4*E^(2*E^(4 - 4*x + x^2) - 2*x) + E^(5 + E^(4 - 4*x + x^2) - x)*(44 + 16*x) + E^10*(121 + 88*x + 16*x^2)),x]","-\frac{e^{x+5}}{e^{x+5} (4 x+11)+2 e^{e^{(x-2)^2}}}","\frac{1}{5-2 \left(2 (x+4)+e^{-x+e^{(2-x)^2}-5}\right)}",1,"-(E^(5 + x)/(2*E^E^(-2 + x)^2 + E^(5 + x)*(11 + 4*x)))","A",1
5027,1,38,32,0.373331,"\int \frac{\left(-3 x-2 x^2\right) \log \left(x^2\right)+\left(4+6 x+2 x^2\right) \log \left(2+3 x+x^2\right)+\left(-2 x-3 x^2-x^3\right) \log ^2\left(2+3 x+x^2\right)+e^{e^x} \left(3 x+2 x^2+e^x \left(-2 x-3 x^2-x^3\right) \log \left(2+3 x+x^2\right)\right)}{\left(2 x+3 x^2+x^3\right) \log ^2\left(2+3 x+x^2\right)} \, dx","Integrate[((-3*x - 2*x^2)*Log[x^2] + (4 + 6*x + 2*x^2)*Log[2 + 3*x + x^2] + (-2*x - 3*x^2 - x^3)*Log[2 + 3*x + x^2]^2 + E^E^x*(3*x + 2*x^2 + E^x*(-2*x - 3*x^2 - x^3)*Log[2 + 3*x + x^2]))/((2*x + 3*x^2 + x^3)*Log[2 + 3*x + x^2]^2),x]","-\frac{e^{e^x}}{\log \left(x^2+3 x+2\right)}+\frac{\log \left(x^2\right)}{\log \left(x^2+3 x+2\right)}-x","\frac{\log \left(x^2\right)-e^{e^x}}{\log \left(\frac{(x+2) \left(x^2+x\right)}{x}\right)}-x",1,"-x - E^E^x/Log[2 + 3*x + x^2] + Log[x^2]/Log[2 + 3*x + x^2]","A",1
5028,1,15,19,0.0128428,"\int \frac{-1+(-2+2 x) \log (4 x)}{x \log (4 x)} \, dx","Integrate[(-1 + (-2 + 2*x)*Log[4*x])/(x*Log[4*x]),x]","2 x-2 \log (x)-\log (\log (4 x))","-\log \left(-\frac{2}{3} x^2 \log (4 x)\right)+2 x+9",1,"2*x - 2*Log[x] - Log[Log[4*x]]","A",1
5029,1,6,16,0.0000731,"\int -\frac{288}{e^5} \, dx","Integrate[-288/E^5,x]","-\frac{288 x}{e^5}","-x^2+\left(x-\frac{144}{e^5}\right)^2+15",1,"(-288*x)/E^5","A",1
5030,1,22,22,0.6067664,"\int \left(1+e^{2+e^{-3 x+x^2}+x} \left(e^{10} \left(4-12 x+4 x^2+4 x^3\right)+e^{10-3 x+x^2} \left(-12 x+32 x^2-28 x^3+8 x^4\right)\right)\right) \, dx","Integrate[1 + E^(2 + E^(-3*x + x^2) + x)*(E^10*(4 - 12*x + 4*x^2 + 4*x^3) + E^(10 - 3*x + x^2)*(-12*x + 32*x^2 - 28*x^3 + 8*x^4)),x]","4 e^{x+e^{(x-3) x}+12} x (x-1)^2+x","4 e^{x+e^{(x-3) x}+12} x (x-1)^2+x",1,"x + 4*E^(12 + E^((-3 + x)*x) + x)*(-1 + x)^2*x","A",1
5031,1,22,23,0.0183775,"\int \frac{-13+e+4 x^2+e^{2 x} (-1+2 x)}{3 x^2} \, dx","Integrate[(-13 + E + 4*x^2 + E^(2*x)*(-1 + 2*x))/(3*x^2),x]","\frac{4 x^2+e^{2 x}-e+13}{3 x}","x+\frac{1}{3} \left(\frac{e^{2 x}+13-e}{x}+x\right)-2",1,"(13 - E + E^(2*x) + 4*x^2)/(3*x)","A",1
5032,1,29,32,0.0546796,"\int \frac{144 x+70 x^2+9 x^3+16 x^4+8 x^5+x^6+\left(-32 x-16 x^2-2 x^3\right) \log \left(\frac{4 e^{\frac{14+3 x}{4+x}}}{x}\right)}{400+200 x+25 x^2-160 x^3-80 x^4-10 x^5+16 x^6+8 x^7+x^8+\left(-160-80 x-10 x^2+32 x^3+16 x^4+2 x^5\right) \log \left(\frac{4 e^{\frac{14+3 x}{4+x}}}{x}\right)+\left(16+8 x+x^2\right) \log ^2\left(\frac{4 e^{\frac{14+3 x}{4+x}}}{x}\right)} \, dx","Integrate[(144*x + 70*x^2 + 9*x^3 + 16*x^4 + 8*x^5 + x^6 + (-32*x - 16*x^2 - 2*x^3)*Log[(4*E^((14 + 3*x)/(4 + x)))/x])/(400 + 200*x + 25*x^2 - 160*x^3 - 80*x^4 - 10*x^5 + 16*x^6 + 8*x^7 + x^8 + (-160 - 80*x - 10*x^2 + 32*x^3 + 16*x^4 + 2*x^5)*Log[(4*E^((14 + 3*x)/(4 + x)))/x] + (16 + 8*x + x^2)*Log[(4*E^((14 + 3*x)/(4 + x)))/x]^2),x]","-\frac{x^2}{x^3+\log \left(\frac{4 e^{\frac{2}{x+4}+3}}{x}\right)-5}","\frac{x^2}{-x^3-\log \left(\frac{4 e^{\frac{2}{x+4}+3}}{x}\right)+5}",1,"-(x^2/(-5 + x^3 + Log[(4*E^(3 + 2/(4 + x)))/x]))","A",1
5033,1,27,26,0.0598168,"\int \frac{e^{-x^2+x^4} \left(x+6 \log \left(4 x+5 x^2+x^3\right)\right) \left(24+64 x+23 x^2-7 x^3-10 x^4+14 x^5+20 x^6+4 x^7+\left(-48 x^2-60 x^3+84 x^4+120 x^5+24 x^6\right) \log \left(4 x+5 x^2+x^3\right)\right)}{4 x^2+5 x^3+x^4+\left(24 x+30 x^2+6 x^3\right) \log \left(4 x+5 x^2+x^3\right)} \, dx","Integrate[(E^(-x^2 + x^4)*(x + 6*Log[4*x + 5*x^2 + x^3])*(24 + 64*x + 23*x^2 - 7*x^3 - 10*x^4 + 14*x^5 + 20*x^6 + 4*x^7 + (-48*x^2 - 60*x^3 + 84*x^4 + 120*x^5 + 24*x^6)*Log[4*x + 5*x^2 + x^3]))/(4*x^2 + 5*x^3 + x^4 + (24*x + 30*x^2 + 6*x^3)*Log[4*x + 5*x^2 + x^3]),x]","e^{x^4-x^2} \left(6 \log \left(x \left(x^2+5 x+4\right)\right)+x\right)","e^{x^4-x^2} \left(6 \log \left((x+4) \left(x^2+x\right)\right)+x\right)",1,"E^(-x^2 + x^4)*(x + 6*Log[x*(4 + 5*x + x^2)])","A",1
5034,1,23,23,0.3592586,"\int \frac{3-6 x+9 x^2+e^{2+2 x} \left(-1+4 x-5 x^2+2 x^3\right)}{x^2-2 x^3+3 x^4-2 x^5+x^6} \, dx","Integrate[(3 - 6*x + 9*x^2 + E^(2 + 2*x)*(-1 + 4*x - 5*x^2 + 2*x^3))/(x^2 - 2*x^3 + 3*x^4 - 2*x^5 + x^6),x]","\frac{e^{2 x+2}-3}{x \left(x^2-x+1\right)}","\frac{e^{2 x+2}-3}{x \left(x^2-x+1\right)}",1,"(-3 + E^(2 + 2*x))/(x*(1 - x + x^2))","A",1
5035,1,20,22,0.0058427,"\int \frac{15}{(-3+3 x+10 \log (10+e)) \log ^2\left(-\frac{9}{-3+3 x+10 \log (10+e)}\right)} \, dx","Integrate[15/((-3 + 3*x + 10*Log[10 + E])*Log[-9/(-3 + 3*x + 10*Log[10 + E])]^2),x]","\frac{5}{\log \left(-\frac{9}{3 x-3+10 \log (10+e)}\right)}","\frac{5}{\log \left(\frac{3}{-x+1-\frac{10}{3} \log (10+e)}\right)}",1,"5/Log[-9/(-3 + 3*x + 10*Log[10 + E])]","A",1
5036,1,26,29,0.0100927,"\int \frac{-12 x^2-8 x^3+e^4 (8+4 x)}{2 x+x^2} \, dx","Integrate[(-12*x^2 - 8*x^3 + E^4*(8 + 4*x))/(2*x + x^2),x]","-4 (x+2)^2+20 (x+2)+4 e^4 \log (x)-8 \log (x+2)","4 \left(-x^2+x+e^4 (\log (x)-3)-\log \left(\frac{1}{2} (x+2)^2\right)\right)",1,"20*(2 + x) - 4*(2 + x)^2 + 4*E^4*Log[x] - 8*Log[2 + x]","A",1
5037,1,42,25,0.004338,"\int \frac{1-2 e^4+e^8+4096 x^3-16384 e^2 x^3+16384 e^4 x^3}{1-2 e^4+e^8} \, dx","Integrate[(1 - 2*E^4 + E^8 + 4096*x^3 - 16384*E^2*x^3 + 16384*E^4*x^3)/(1 - 2*E^4 + E^8),x]","\frac{4096 e^4 x^4-4096 e^2 x^4+1024 x^4+e^8 x-2 e^4 x+x}{\left(e^4-1\right)^2}","\frac{64 \left(8 e^2-4\right)^2 x^4}{\left(1-e^4\right)^2}+x",1,"(x - 2*E^4*x + E^8*x + 1024*x^4 - 4096*E^2*x^4 + 4096*E^4*x^4)/(-1 + E^4)^2","A",1
5038,1,39,33,0.0045396,"\int \frac{7442-3904 x+3278 x^3-4590 x^4+2496 x^5-1408 x^6+320 x^7-96 x^8}{x^3} \, dx","Integrate[(7442 - 3904*x + 3278*x^3 - 4590*x^4 + 2496*x^5 - 1408*x^6 + 320*x^7 - 96*x^8)/x^3,x]","-16 x^6+64 x^5-352 x^4+832 x^3-2295 x^2-\frac{3721}{x^2}+3278 x+\frac{3904}{x}","x^2-\frac{\left(3-4 \left(x^2-x+4\right)^2\right)^2}{x^2}-2 x+5 e^3",1,"-3721/x^2 + 3904/x + 3278*x - 2295*x^2 + 832*x^3 - 352*x^4 + 64*x^5 - 16*x^6","A",1
5039,1,16,23,0.0533886,"\int \frac{4 e^x-8 x+4 x^2}{e^x x-x^2} \, dx","Integrate[(4*E^x - 8*x + 4*x^2)/(E^x*x - x^2),x]","4 \left(-x+\log \left(e^x-x\right)+\log (x)\right)","4 \left(-x+\log \left(x \left(x-e^x\right)\right)-5+\log ^2(25)+\log (5)\right)",1,"4*(-x + Log[E^x - x] + Log[x])","A",1
5040,1,34,26,0.0765534,"\int \frac{-6-4 \log \left(\frac{x^3}{2}\right)-3 x^3 \log ^2\left(\frac{x^3}{2}\right)}{12 x^3 \log ^2\left(\frac{x^3}{2}\right)} \, dx","Integrate[(-6 - 4*Log[x^3/2] - 3*x^3*Log[x^3/2]^2)/(12*x^3*Log[x^3/2]^2),x]","\frac{-9 x^3 \log \left(x^3\right)+x^3 \log (512)+6}{36 x^2 \log \left(\frac{x^3}{2}\right)}","\frac{1}{4} \left(\frac{2}{3 x^2 \log \left(\frac{x^3}{2}\right)}-x-4\right)",1,"(6 + x^3*Log[512] - 9*x^3*Log[x^3])/(36*x^2*Log[x^3/2])","A",1
5041,1,27,24,0.0467349,"\int \frac{27 e^{10} x^2+e^{-x^2+x \log \left(x^2\right)} \left(4+8 x-8 x^2+4 x \log \left(x^2\right)\right)}{4 e^{10}} \, dx","Integrate[(27*E^10*x^2 + E^(-x^2 + x*Log[x^2])*(4 + 8*x - 8*x^2 + 4*x*Log[x^2]))/(4*E^10),x]","\frac{1}{4} \left(9 x^3+4 e^{-x^2-10} x \left(x^2\right)^x\right)","x \left(\frac{9 x^2}{4}+e^{x \left(\log \left(x^2\right)-x\right)-10}\right)",1,"(9*x^3 + 4*E^(-10 - x^2)*x*(x^2)^x)/4","A",1
5042,1,15,19,0.0036294,"\int -\frac{84 e^2}{6480+80 e^2+360 x+5 x^2+e (1440+40 x)} \, dx","Integrate[(-84*E^2)/(6480 + 80*E^2 + 360*x + 5*x^2 + E*(1440 + 40*x)),x]","\frac{84 e^2}{5 (x+4 e+36)}","e^2 \left(\frac{84}{5 (x+4 (9+e))}+10\right)",1,"(84*E^2)/(5*(36 + 4*E + x))","A",1
5043,1,27,31,0.4932041,"\int \frac{4 x^3+2 x^4+e^{\frac{-x^3+e^{x^2} \left(25-10 x+x^2\right)}{x^2}} \left(-x^3+e^{x^2} \left(-50+10 x+50 x^2-20 x^3+2 x^4\right)\right)}{x^3} \, dx","Integrate[(4*x^3 + 2*x^4 + E^((-x^3 + E^x^2*(25 - 10*x + x^2))/x^2)*(-x^3 + E^x^2*(-50 + 10*x + 50*x^2 - 20*x^3 + 2*x^4)))/x^3,x]","x^2+e^{\frac{e^{x^2} (x-5)^2}{x^2}-x}+4 x","e^{e^{x^2} \left(\frac{-x-5}{x}+2\right)^2-x}+(x+2)^2",1,"E^((E^x^2*(-5 + x)^2)/x^2 - x) + 4*x + x^2","A",1
5044,1,27,27,0.0667681,"\int \frac{3 x^3-x^4+\left(3 x+x^2\right) \log \left(\frac{16}{5}\right)+\left(2 x^4-2 x^2 \log \left(\frac{16}{5}\right)+\left(-6 x^3+6 x \log \left(\frac{16}{5}\right)\right) \log \left(\frac{x^2-\log \left(\frac{16}{5}\right)}{x}\right)\right) \log \left(\frac{1}{3} \left(x-3 \log \left(\frac{x^2-\log \left(\frac{16}{5}\right)}{x}\right)\right)\right)}{\left(x^3-x \log \left(\frac{16}{5}\right)+\left(-3 x^2+3 \log \left(\frac{16}{5}\right)\right) \log \left(\frac{x^2-\log \left(\frac{16}{5}\right)}{x}\right)\right) \log ^2\left(\frac{1}{3} \left(x-3 \log \left(\frac{x^2-\log \left(\frac{16}{5}\right)}{x}\right)\right)\right)} \, dx","Integrate[(3*x^3 - x^4 + (3*x + x^2)*Log[16/5] + (2*x^4 - 2*x^2*Log[16/5] + (-6*x^3 + 6*x*Log[16/5])*Log[(x^2 - Log[16/5])/x])*Log[(x - 3*Log[(x^2 - Log[16/5])/x])/3])/((x^3 - x*Log[16/5] + (-3*x^2 + 3*Log[16/5])*Log[(x^2 - Log[16/5])/x])*Log[(x - 3*Log[(x^2 - Log[16/5])/x])/3]^2),x]","\frac{x^2}{\log \left(\frac{1}{3} \left(x-3 \log \left(x-\frac{\log \left(\frac{16}{5}\right)}{x}\right)\right)\right)}","\frac{x^2}{\log \left(\frac{x}{3}-\log \left(x-\frac{\log \left(\frac{16}{5}\right)}{x}\right)\right)}",1,"x^2/Log[(x - 3*Log[x - Log[16/5]/x])/3]","A",1
5045,1,18,21,0.0055744,"\int \frac{-34+40 x}{-35-17 x+10 x^2+7 \log (3)} \, dx","Integrate[(-34 + 40*x)/(-35 - 17*x + 10*x^2 + 7*Log[3]),x]","2 \log \left(10 x^2-17 x+7 (\log (3)-5)\right)","\log \left(\left(\frac{10}{7} \left(x-x^2\right)+x+5-\log (3)\right)^2\right)",1,"2*Log[-17*x + 10*x^2 + 7*(-5 + Log[3])]","A",1
5046,1,12,12,0.0000782,"\int \frac{20 \log \left(4 e^5\right)}{e^{10}} \, dx","Integrate[(20*Log[4*E^5])/E^10,x]","\frac{20 x \log \left(4 e^5\right)}{e^{10}}","\frac{20 x \log \left(4 e^5\right)}{e^{10}}",1,"(20*x*Log[4*E^5])/E^10","A",1
5047,1,151,29,0.3080164,"\int \frac{15+10 e^2-20 x+\left(2+6 x-6 x^2+e^2 (-4+4 x)\right) \log (3)}{500+1500 x+125 x^2-1500 x^3+500 x^4+e^4 \left(2000-2000 x+500 x^2\right)+e^2 \left(-2000-2000 x+3500 x^2-1000 x^3\right)+\left(200 x+600 x^2+50 x^3-600 x^4+200 x^5+e^4 \left(800 x-800 x^2+200 x^3\right)+e^2 \left(-800 x-800 x^2+1400 x^3-400 x^4\right)\right) \log (3)+\left(20 x^2+60 x^3+5 x^4-60 x^5+20 x^6+e^4 \left(80 x^2-80 x^3+20 x^4\right)+e^2 \left(-80 x^2-80 x^3+140 x^4-40 x^5\right)\right) \log ^2(3)} \, dx","Integrate[(15 + 10*E^2 - 20*x + (2 + 6*x - 6*x^2 + E^2*(-4 + 4*x))*Log[3])/(500 + 1500*x + 125*x^2 - 1500*x^3 + 500*x^4 + E^4*(2000 - 2000*x + 500*x^2) + E^2*(-2000 - 2000*x + 3500*x^2 - 1000*x^3) + (200*x + 600*x^2 + 50*x^3 - 600*x^4 + 200*x^5 + E^4*(800*x - 800*x^2 + 200*x^3) + E^2*(-800*x - 800*x^2 + 1400*x^3 - 400*x^4))*Log[3] + (20*x^2 + 60*x^3 + 5*x^4 - 60*x^5 + 20*x^6 + E^4*(80*x^2 - 80*x^3 + 20*x^4) + E^2*(-80*x^2 - 80*x^3 + 140*x^4 - 40*x^5))*Log[3]^2),x]","\frac{1}{5} \left(\frac{\log ^2(3) \left(50+e^2 \left(4 \log ^2(3)+\log (59049)\right)-\log (3) \log (9)+\log (14348907)\right)}{(5+\log (9))^2 \left(10-\log (3)+e^2 \log (9)\right)^2 (x \log (3)+5)}+\frac{25-e^2 (10+\log (81))+\log (59049)}{\left(5-2 e^2\right)^2 (x-2) (5+\log (9))^2}-\frac{4 \left(-50+e^4 \log (81)+\log (243)-e^2 (\log (531441)-20)\right)}{\left(5-2 e^2\right)^2 \left(-2 x+2 e^2-1\right) \left(10-\log (3)+e^2 \log (9)\right)^2}\right)","\frac{1}{5 (x-2) \left(2 x-2 e^2+1\right) (x \log (3)+5)}",1,"((25 - E^2*(10 + Log[81]) + Log[59049])/((5 - 2*E^2)^2*(-2 + x)*(5 + Log[9])^2) - (4*(-50 + E^4*Log[81] + Log[243] - E^2*(-20 + Log[531441])))/((5 - 2*E^2)^2*(-1 + 2*E^2 - 2*x)*(10 - Log[3] + E^2*Log[9])^2) + (Log[3]^2*(50 - Log[3]*Log[9] + E^2*(4*Log[3]^2 + Log[59049]) + Log[14348907]))/((5 + x*Log[3])*(5 + Log[9])^2*(10 - Log[3] + E^2*Log[9])^2))/5","B",0
5048,1,19,19,0.2240114,"\int \frac{-3+36 x-12 e^{x^2} x-6 x^2}{e^{3 x^2}+e^{2 x^2} (-12+2 x)+e^{x^2} \left(36-12 x+x^2\right)} \, dx","Integrate[(-3 + 36*x - 12*E^x^2*x - 6*x^2)/(E^(3*x^2) + E^(2*x^2)*(-12 + 2*x) + E^x^2*(36 - 12*x + x^2)),x]","\frac{3 e^{-x^2}}{e^{x^2}+x-6}","\frac{3 e^{-x^2}}{e^{x^2}+x-6}",1,"3/(E^x^2*(-6 + E^x^2 + x))","A",1
5049,1,19,17,0.0028961,"\int \frac{1}{5} \left(1+e^3 (5+90 x)\right) \, dx","Integrate[(1 + E^3*(5 + 90*x))/5,x]","9 e^3 x^2+e^3 x+\frac{x}{5}","e^3 \left(9 x^2+x\right)+\frac{x}{5}",1,"x/5 + E^3*x + 9*E^3*x^2","A",1
5050,1,20,30,5.0498755,"\int \frac{150-50 x+(150-21 x) \log \left(\frac{50-7 x}{2 x}\right)}{-50 x^2+7 x^3+\left(300 x-142 x^2+14 x^3\right) \log \left(\frac{50-7 x}{2 x}\right)+\left(-450+363 x-92 x^2+7 x^3\right) \log ^2\left(\frac{50-7 x}{2 x}\right)} \, dx","Integrate[(150 - 50*x + (150 - 21*x)*Log[(50 - 7*x)/(2*x)])/(-50*x^2 + 7*x^3 + (300*x - 142*x^2 + 14*x^3)*Log[(50 - 7*x)/(2*x)] + (-450 + 363*x - 92*x^2 + 7*x^3)*Log[(50 - 7*x)/(2*x)]^2),x]","\frac{x}{x+(x-3) \log \left(\frac{25}{x}-\frac{7}{2}\right)}","\frac{x}{x-(3-x) \log \left(\frac{50-x}{2 x}-3\right)}-2",1,"x/(x + (-3 + x)*Log[-7/2 + 25/x])","A",1
5051,1,37,29,0.1967705,"\int \frac{e^x \left(-8+2 e^3\right) (i \pi +\log (10))+e^x \left(-4 x+e^3 x\right) (i \pi +\log (10)) \log \left(\frac{5}{x^2}\right)+\left(-4 x+e^3 x\right) (i \pi +\log (10)) \log ^2\left(\frac{5}{x^2}\right)}{e^x x \log \left(\frac{5}{x^2}\right)+x^2 \log ^2\left(\frac{5}{x^2}\right)} \, dx","Integrate[(E^x*(-8 + 2*E^3)*(I*Pi + Log[10]) + E^x*(-4*x + E^3*x)*(I*Pi + Log[10])*Log[5/x^2] + (-4*x + E^3*x)*(I*Pi + Log[10])*Log[5/x^2]^2)/(E^x*x*Log[5/x^2] + x^2*Log[5/x^2]^2),x]","\left(e^3-4\right) (\log (10)+i \pi ) \left(\log \left(x \log \left(\frac{5}{x^2}\right)+e^x\right)-\log \left(\log \left(\frac{5}{x^2}\right)\right)\right)","\left(e^3-4\right) (\log (10)+i \pi ) \log \left(\frac{e^x}{\log \left(\frac{5}{x^2}\right)}+x\right)",1,"(-4 + E^3)*(I*Pi + Log[10])*(-Log[Log[5/x^2]] + Log[E^x + x*Log[5/x^2]])","A",1
5052,1,28,19,0.4359717,"\int \frac{2 \log \left(\frac{2 x}{\log (3)}\right)-\log ^2\left(\frac{2 x}{\log (3)}\right)}{x^2+(8 x-2 e x) \log ^2\left(\frac{2 x}{\log (3)}\right)+\left(16-8 e+e^2\right) \log ^4\left(\frac{2 x}{\log (3)}\right)} \, dx","Integrate[(2*Log[(2*x)/Log[3]] - Log[(2*x)/Log[3]]^2)/(x^2 + (8*x - 2*E*x)*Log[(2*x)/Log[3]]^2 + (16 - 8*E + E^2)*Log[(2*x)/Log[3]]^4),x]","-\frac{x}{(e-4) \left((e-4) \log ^2\left(\frac{2 x}{\log (3)}\right)-x\right)}","\frac{1}{\frac{x}{\log ^2\left(\frac{2 x}{\log (3)}\right)}-e+4}",1,"-(x/((-4 + E)*(-x + (-4 + E)*Log[(2*x)/Log[3]]^2)))","A",1
5053,1,5,5,0.000973,"\int \left(1+e^x\right) \, dx","Integrate[1 + E^x,x]","x+e^x","x+e^x",1,"E^x + x","A",1
5054,1,22,23,0.0905945,"\int \frac{-x+e^{\frac{e^{x^2}}{x}+x^2} \left(3-6 x^2\right)}{3 x^2} \, dx","Integrate[(-x + E^(E^x^2/x + x^2)*(3 - 6*x^2))/(3*x^2),x]","\frac{1}{3} \left(-3 e^{\frac{e^{x^2}}{x}}-\log (x)\right)","-e^{\frac{e^{x^2}}{x}}-\frac{\log (x)}{3}+3+\log (4)",1,"(-3*E^(E^x^2/x) - Log[x])/3","A",1
5055,1,20,27,0.0209437,"\int \frac{\left(-2-2 x^2+2 \log \left(16 x \log ^2(\log (5))\right)\right) \log \left(\frac{x^2+\log \left(16 x \log ^2(\log (5))\right)}{x}\right)}{x^3+x \log \left(16 x \log ^2(\log (5))\right)} \, dx","Integrate[((-2 - 2*x^2 + 2*Log[16*x*Log[Log[5]]^2])*Log[(x^2 + Log[16*x*Log[Log[5]]^2])/x])/(x^3 + x*Log[16*x*Log[Log[5]]^2]),x]","-\log ^2\left(x+\frac{\log \left(16 x \log ^2(\log (5))\right)}{x}\right)","-\log ^2\left(x+\frac{\log \left(16 x \log ^2(\log (5))\right)}{x}\right)-e^{12}+1",1,"-Log[x + Log[16*x*Log[Log[5]]^2]/x]^2","A",1
5056,1,39,31,0.1502649,"\int \frac{8-17 x+3 x^2+\left(8-16 x+x^2\right) \log \left(\frac{x}{5}\right)+(2-4 x) \log ^2\left(\frac{x}{5}\right)}{4 x^2-8 x^3+4 x^4+e^2 \left(4 x^2-8 x^3+4 x^4\right)+\left(4 x^2-8 x^3+4 x^4+e^2 \left(4 x^2-8 x^3+4 x^4\right)\right) \log \left(\frac{x}{5}\right)+\left(x^2-2 x^3+x^4+e^2 \left(x^2-2 x^3+x^4\right)\right) \log ^2\left(\frac{x}{5}\right)} \, dx","Integrate[(8 - 17*x + 3*x^2 + (8 - 16*x + x^2)*Log[x/5] + (2 - 4*x)*Log[x/5]^2)/(4*x^2 - 8*x^3 + 4*x^4 + E^2*(4*x^2 - 8*x^3 + 4*x^4) + (4*x^2 - 8*x^3 + 4*x^4 + E^2*(4*x^2 - 8*x^3 + 4*x^4))*Log[x/5] + (x^2 - 2*x^3 + x^4 + E^2*(x^2 - 2*x^3 + x^4))*Log[x/5]^2),x]","\frac{-\frac{2}{x}+\frac{2}{x-1}+\frac{1}{(1-x) \left(\log \left(\frac{x}{5}\right)+2\right)}}{1+e^2}","\frac{2-\frac{x}{\log \left(\frac{x}{5}\right)+2}}{\left(1+e^2\right) (x-1) x}",1,"(2/(-1 + x) - 2/x + 1/((1 - x)*(2 + Log[x/5])))/(1 + E^2)","A",1
5057,1,34,29,0.9328797,"\int \frac{-400 e^{-3+x}-4 e^{-3+3 x} x^2+40 \log (6)+e^x \left(80 e^{-3+x} x+(-4-8 x) \log (6)\right)}{100 e^{-3+x}-20 e^{-3+2 x} x+e^{-3+3 x} x^2} \, dx","Integrate[(-400*E^(-3 + x) - 4*E^(-3 + 3*x)*x^2 + 40*Log[6] + E^x*(80*E^(-3 + x)*x + (-4 - 8*x)*Log[6]))/(100*E^(-3 + x) - 20*E^(-3 + 2*x)*x + E^(-3 + 3*x)*x^2),x]","-\frac{4 \left(-e^x x^2+10 x+e^{3-x} \log (6)\right)}{10-e^x x}","\frac{4 e^{3-x} \log (6)}{\left(e^x-\frac{10}{x}\right) x}-4 x",1,"(-4*(10*x - E^x*x^2 + E^(3 - x)*Log[6]))/(10 - E^x*x)","A",1
5058,1,47,33,0.0427584,"\int \frac{10 x^3+e^x \left(e^5 (2-x)-3 x^3-3 x^4\right)-6 x^3 (i \pi +\log (3))+x^3 (i \pi +\log (3))^2}{x^3} \, dx","Integrate[(10*x^3 + E^x*(E^5*(2 - x) - 3*x^3 - 3*x^4) - 6*x^3*(I*Pi + Log[3]) + x^3*(I*Pi + Log[3])^2)/x^3,x]","-\frac{e^{x+5}}{x^2}-3 e^x x-\pi ^2 x+10 x+x \log ^2(3)-6 x \log (3)+2 i \pi  x (\log (3)-3)","-e^x \left(\frac{e^5}{x^2}+3 x\right)+x+x (3-i \pi -\log (3))^2",1,"-(E^(5 + x)/x^2) + 10*x - 3*E^x*x - Pi^2*x + (2*I)*Pi*x*(-3 + Log[3]) - 6*x*Log[3] + x*Log[3]^2","A",1
5059,1,23,25,0.342624,"\int \frac{e^{\frac{2 \left(50 e^2+45 x-5 x^2\right)}{-4+x}} \left(1600-36800 x-10000 e^2 x+8100 x^2-1000 x^3\right)}{16-8 x+x^2} \, dx","Integrate[(E^((2*(50*E^2 + 45*x - 5*x^2))/(-4 + x))*(1600 - 36800*x - 10000*E^2*x + 8100*x^2 - 1000*x^3))/(16 - 8*x + x^2),x]","100 e^{\frac{100 e^2-10 (x-9) x}{x-4}} x","100 e^{10 \left(\frac{5 \left(x+2 e^2\right)}{x-4}-x\right)} x",1,"100*E^((100*E^2 - 10*(-9 + x)*x)/(-4 + x))*x","A",1
5060,1,33,33,0.1188134,"\int \frac{e^{-\frac{e^2}{x}} \left(15 x+e^2 (-15+5 x)+e^{\frac{e^2}{x}} \left(-12+5 x-3 x^3+2 x^4\right)\right)}{x^3} \, dx","Integrate[(15*x + E^2*(-15 + 5*x) + E^(E^2/x)*(-12 + 5*x - 3*x^3 + 2*x^4))/(E^(E^2/x)*x^3),x]","\frac{x^4-3 x^3+5 e^{-\frac{e^2}{x}} (x-3) x-5 x+6}{x^2}","\frac{(x-3) \left(x^2+5 e^{-\frac{e^2}{x}}+\frac{2 x-2}{x}-1\right)}{x}",1,"(6 - 5*x + (5*(-3 + x)*x)/E^(E^2/x) - 3*x^3 + x^4)/x^2","A",1
5061,1,18,18,0.2005554,"\int \frac{e (-1+x)+e^x \left(-1-x^2\right)+e^x x \log (x)}{2 e^2 x+2 e^{2 x} x+4 e^{1+x} x} \, dx","Integrate[(E*(-1 + x) + E^x*(-1 - x^2) + E^x*x*Log[x])/(2*E^2*x + 2*E^(2*x)*x + 4*E^(1 + x)*x),x]","\frac{x-\log (x)+1}{2 \left(e^x+e\right)}","\frac{x-\log (x)+1}{2 \left(e^x+e\right)}",1,"(1 + x - Log[x])/(2*(E + E^x))","A",1
5062,1,44,24,0.0796647,"\int \frac{32 x+26 x^2+6 x^4-2 x^5+e^6 \left(2 x+2 x^2\right)+e^3 \left(-16 x-14 x^2-2 x^4\right)}{256+832 x+708 x^2-140 x^3-279 x^4+40 x^5+38 x^6-12 x^7+x^8+e^{12} \left(1+4 x+6 x^2+4 x^3+x^4\right)+e^9 \left(-16-60 x-80 x^2-40 x^3+4 x^5\right)+e^6 \left(96+340 x+398 x^2+124 x^3-60 x^4-24 x^5+6 x^6\right)+e^3 \left(-256-864 x-872 x^2-76 x^3+248 x^4+24 x^5-32 x^6+4 x^7\right)} \, dx","Integrate[(32*x + 26*x^2 + 6*x^4 - 2*x^5 + E^6*(2*x + 2*x^2) + E^3*(-16*x - 14*x^2 - 2*x^4))/(256 + 832*x + 708*x^2 - 140*x^3 - 279*x^4 + 40*x^5 + 38*x^6 - 12*x^7 + x^8 + E^12*(1 + 4*x + 6*x^2 + 4*x^3 + x^4) + E^9*(-16 - 60*x - 80*x^2 - 40*x^3 + 4*x^5) + E^6*(96 + 340*x + 398*x^2 + 124*x^3 - 60*x^4 - 24*x^5 + 6*x^6) + E^3*(-256 - 864*x - 872*x^2 - 76*x^3 + 248*x^4 + 24*x^5 - 32*x^6 + 4*x^7)),x]","\frac{x^2}{x^4-6 x^3+x^2+26 x+2 e^3 (x-4) (x+1)^2+e^6 (x+1)^2+16}","\frac{x^2}{(x+1)^2 \left(x+e^3-4\right)^2+2 x}",1,"x^2/(16 + 26*x + x^2 - 6*x^3 + x^4 + E^6*(1 + x)^2 + 2*E^3*(-4 + x)*(1 + x)^2)","A",1
5063,1,16,16,0.007477,"\int \frac{2+\left(-2 x^2+324 x^4\right) \log (x)}{x \log (x)} \, dx","Integrate[(2 + (-2*x^2 + 324*x^4)*Log[x])/(x*Log[x]),x]","81 x^4-x^2+2 \log (\log (x))","81 x^4-x^2+\log \left(\log ^2(x)\right)",1,"-x^2 + 81*x^4 + 2*Log[Log[x]]","A",1
5064,1,33,32,0.0646096,"\int \frac{\left(-4-e^3+2 x^2\right) \log (x)+(-16 x-32 x \log (x)) \log ^3\left(\frac{1}{16} x^4 \log ^2(x)\right)}{2 x^2 \log (x)} \, dx","Integrate[((-4 - E^3 + 2*x^2)*Log[x] + (-16*x - 32*x*Log[x])*Log[(x^4*Log[x]^2)/16]^3)/(2*x^2*Log[x]),x]","-\log ^4\left(\frac{1}{16} x^4 \log ^2(x)\right)+x+\frac{e^3}{2 x}+\frac{2}{x}","-\log ^4\left(\frac{1}{16} x^4 \log ^2(x)\right)+x-\frac{-4-e^3}{2 x}",1,"2/x + E^3/(2*x) + x - Log[(x^4*Log[x]^2)/16]^4","A",1
5065,1,7,11,0.0000751,"\int \frac{2 x}{e^2} \, dx","Integrate[(2*x)/E^2,x]","\frac{x^2}{e^2}","\frac{x^2}{e^2}+5+\log (3)",1,"x^2/E^2","A",1
5066,0,0,27,0.7409775,"\int \frac{\exp \left(2 \exp \left(\frac{1}{3} \left(-3+\log \left(\frac{e^4 x+x^2-3 x \log (x)}{e^4+x}\right)\right)\right)+\frac{1}{3} \left(-3+\log \left(\frac{e^4 x+x^2-3 x \log (x)}{e^4+x}\right)\right)\right) \left(-2 e^8+e^4 (6-4 x)+6 x-2 x^2+6 e^4 \log (x)\right)}{-3 e^8 x-6 e^4 x^2-3 x^3+\left(9 e^4 x+9 x^2\right) \log (x)} \, dx","Integrate[(E^(2*E^((-3 + Log[(E^4*x + x^2 - 3*x*Log[x])/(E^4 + x)])/3) + (-3 + Log[(E^4*x + x^2 - 3*x*Log[x])/(E^4 + x)])/3)*(-2*E^8 + E^4*(6 - 4*x) + 6*x - 2*x^2 + 6*E^4*Log[x]))/(-3*E^8*x - 6*E^4*x^2 - 3*x^3 + (9*E^4*x + 9*x^2)*Log[x]),x]","\int \frac{\exp \left(2 \exp \left(\frac{1}{3} \left(-3+\log \left(\frac{e^4 x+x^2-3 x \log (x)}{e^4+x}\right)\right)\right)+\frac{1}{3} \left(-3+\log \left(\frac{e^4 x+x^2-3 x \log (x)}{e^4+x}\right)\right)\right) \left(-2 e^8+e^4 (6-4 x)+6 x-2 x^2+6 e^4 \log (x)\right)}{-3 e^8 x-6 e^4 x^2-3 x^3+\left(9 e^4 x+9 x^2\right) \log (x)} \, dx","e^{2 e^{\frac{1}{3} \left(\log \left(x-\frac{3 x \log (x)}{x+e^4}\right)-3\right)}}",1,"Integrate[(E^(2*E^((-3 + Log[(E^4*x + x^2 - 3*x*Log[x])/(E^4 + x)])/3) + (-3 + Log[(E^4*x + x^2 - 3*x*Log[x])/(E^4 + x)])/3)*(-2*E^8 + E^4*(6 - 4*x) + 6*x - 2*x^2 + 6*E^4*Log[x]))/(-3*E^8*x - 6*E^4*x^2 - 3*x^3 + (9*E^4*x + 9*x^2)*Log[x]), x]","F",-1
5067,1,33,31,0.3031919,"\int \frac{-6 x-12 x^3-6 x^5+e^{4+\frac{4 e^4}{1+x^2}} \left(-648 x-648 x^2-192 x^3-16 x^4\right) \log \left(\frac{27+18 x+2 x^2}{9+6 x+x^2}\right)}{\left(81+81 x+186 x^2+164 x^3+129 x^4+85 x^5+24 x^6+2 x^7\right) \log \left(\frac{27+18 x+2 x^2}{9+6 x+x^2}\right)} \, dx","Integrate[(-6*x - 12*x^3 - 6*x^5 + E^(4 + (4*E^4)/(1 + x^2))*(-648*x - 648*x^2 - 192*x^3 - 16*x^4)*Log[(27 + 18*x + 2*x^2)/(9 + 6*x + x^2)])/((81 + 81*x + 186*x^2 + 164*x^3 + 129*x^4 + 85*x^5 + 24*x^6 + 2*x^7)*Log[(27 + 18*x + 2*x^2)/(9 + 6*x + x^2)]),x]","e^{\frac{4 e^4}{x^2+1}}+\log \left(\log \left(\frac{2 x^2+18 x+27}{(x+3)^2}\right)\right)","e^{\frac{4 e^4}{x^2+1}}+\log \left(2 \log \left(3-\frac{x^2}{(x+3)^2}\right)\right)",1,"E^((4*E^4)/(1 + x^2)) + Log[Log[(27 + 18*x + 2*x^2)/(3 + x)^2]]","A",1
5068,1,29,26,0.1198048,"\int \frac{\left(6 x+2 x^2\right) \log \left(\frac{3+x}{3}\right)+\left(\left(2 x-x^2\right) \log (2-x)+\left(6-13 x+x^2+2 x^3\right) \log (2-x) \log \left(\frac{3+x}{3}\right)\right) \log (\log (2-x))}{\left(-6 x+x^2+x^3\right) \log (2-x) \log \left(\frac{3+x}{3}\right) \log (\log (2-x))} \, dx","Integrate[((6*x + 2*x^2)*Log[(3 + x)/3] + ((2*x - x^2)*Log[2 - x] + (6 - 13*x + x^2 + 2*x^3)*Log[2 - x]*Log[(3 + x)/3])*Log[Log[2 - x]])/((-6*x + x^2 + x^3)*Log[2 - x]*Log[(3 + x)/3]*Log[Log[2 - x]]),x]","2 x-\log (x)-\log \left(\log \left(\frac{x+3}{3}\right)\right)+2 \log (\log (\log (2-x)))","2 x-\log \left(\frac{x \log \left(\frac{x+3}{3}\right)}{\log ^2(\log (2-x))}\right)",1,"2*x - Log[x] - Log[Log[(3 + x)/3]] + 2*Log[Log[Log[2 - x]]]","A",1
5069,1,30,26,0.881475,"\int \frac{e^{\frac{256-\log \left(x^3\right)}{-5+x}} \left(25 x-10 x^2+x^3+\left(-30-757 x-252 x^2-x^3\right) \log (6+2 x)+\left(3 x+x^2\right) \log \left(x^3\right) \log (6+2 x)\right)}{75 x^2-5 x^3-7 x^4+x^5} \, dx","Integrate[(E^((256 - Log[x^3])/(-5 + x))*(25*x - 10*x^2 + x^3 + (-30 - 757*x - 252*x^2 - x^3)*Log[6 + 2*x] + (3*x + x^2)*Log[x^3]*Log[6 + 2*x]))/(75*x^2 - 5*x^3 - 7*x^4 + x^5),x]","\frac{e^{\frac{256}{x-5}} \left(x^3\right)^{-\frac{1}{x-5}} \log (2 (x+3))}{x}","\frac{e^{\frac{\log \left(x^3\right)-256}{5-x}} \log (2 (x+3))}{x}",1,"(E^(256/(-5 + x))*Log[2*(3 + x)])/(x*(x^3)^(-5 + x)^(-1))","A",1
5070,1,77,36,0.6867001,"\int \frac{\exp \left(\frac{144 x^2-e^{4 x^2} x^2-288 x^3-2 e^{2 x^2} x^3+143 x^4+\left(288 x-288 x^2\right) \log (x)+144 \log ^2(x)}{9 e^{4 x^2}+18 e^{2 x^2} x+9 x^2}\right) \left(288 x^2-2 e^{6 x^2} x^2-288 x^3-6 e^{4 x^2} x^3-288 x^4+286 x^5+e^{2 x^2} \left(288 x-864 x^3-582 x^4+2304 x^5-1152 x^6\right)+\left(288 x-288 x^2+e^{2 x^2} \left(288+288 x-576 x^2-2304 x^3+2304 x^4\right)\right) \log (x)+\left(-288 x-1152 e^{2 x^2} x^2\right) \log ^2(x)\right)}{9 e^{6 x^2} x+27 e^{4 x^2} x^2+27 e^{2 x^2} x^3+9 x^4} \, dx","Integrate[(E^((144*x^2 - E^(4*x^2)*x^2 - 288*x^3 - 2*E^(2*x^2)*x^3 + 143*x^4 + (288*x - 288*x^2)*Log[x] + 144*Log[x]^2)/(9*E^(4*x^2) + 18*E^(2*x^2)*x + 9*x^2))*(288*x^2 - 2*E^(6*x^2)*x^2 - 288*x^3 - 6*E^(4*x^2)*x^3 - 288*x^4 + 286*x^5 + E^(2*x^2)*(288*x - 864*x^3 - 582*x^4 + 2304*x^5 - 1152*x^6) + (288*x - 288*x^2 + E^(2*x^2)*(288 + 288*x - 576*x^2 - 2304*x^3 + 2304*x^4))*Log[x] + (-288*x - 1152*E^(2*x^2)*x^2)*Log[x]^2))/(9*E^(6*x^2)*x + 27*E^(4*x^2)*x^2 + 27*E^(2*x^2)*x^3 + 9*x^4),x]","x^{-\frac{32 (x-1) x}{\left(e^{2 x^2}+x\right)^2}} \exp \left(\frac{\left(143 x^2-2 e^{2 x^2} x-e^{4 x^2}-288 x+144\right) x^2+144 \log ^2(x)}{9 \left(e^{2 x^2}+x\right)^2}\right)","\exp \left(\frac{16 \left(x^2-x-\log (x)\right)^2}{\left(e^{2 x^2}+x\right)^2}-\frac{x^2}{9}\right)",1,"E^((x^2*(144 - E^(4*x^2) - 288*x - 2*E^(2*x^2)*x + 143*x^2) + 144*Log[x]^2)/(9*(E^(2*x^2) + x)^2))/x^((32*(-1 + x)*x)/(E^(2*x^2) + x)^2)","B",1
5071,1,27,27,0.2642376,"\int \frac{e^{16} \left(12 x-9 x^2\right)+e^{2 x} \left(12 x-9 x^2\right)+e^8 \left(-12 x+9 x^2\right)+e^x \left(-12 x+3 x^2+3 x^3+e^8 \left(24 x-18 x^2\right)\right)}{4-8 e^8+4 e^{16}+4 e^{2 x}+e^x \left(-8+8 e^8\right)} \, dx","Integrate[(E^16*(12*x - 9*x^2) + E^(2*x)*(12*x - 9*x^2) + E^8*(-12*x + 9*x^2) + E^x*(-12*x + 3*x^2 + 3*x^3 + E^8*(24*x - 18*x^2)))/(4 - 8*E^8 + 4*E^16 + 4*E^(2*x) + E^x*(-8 + 8*E^8)),x]","-\frac{3 \left(e^x+e^8\right) (x-2) x^2}{4 \left(e^x-1+e^8\right)}","3-\frac{3 (2-x) x^2}{\frac{4}{e^x+e^8}-4}",1,"(-3*(E^8 + E^x)*(-2 + x)*x^2)/(4*(-1 + E^8 + E^x))","A",1
5072,1,15,17,0.0042783,"\int \left(e^x+(1-2 x) \log (5)\right) \, dx","Integrate[E^x + (1 - 2*x)*Log[5],x]","x^2 (-\log (5))+e^x+x \log (5)","\left(x^2-x+2\right) (-\log (5))+e^x-1",1,"E^x + x*Log[5] - x^2*Log[5]","A",1
5073,1,33,31,0.1534383,"\int \frac{e^{-\frac{3+e^x}{3 e^{x^2}-6 x}} \left(-6 e^{2 x^2} \log (5)+\left(-6 x-24 x^2\right) \log (5)+e^x \left(-2 x+2 x^2\right) \log (5)+e^{x^2} \left(e^x \left(-x+2 x^2\right) \log (5)+\left(24 x+6 x^2\right) \log (5)\right)\right)}{48 e^{2 x^2} x^3-192 e^{x^2} x^4+192 x^5} \, dx","Integrate[(-6*E^(2*x^2)*Log[5] + (-6*x - 24*x^2)*Log[5] + E^x*(-2*x + 2*x^2)*Log[5] + E^x^2*(E^x*(-x + 2*x^2)*Log[5] + (24*x + 6*x^2)*Log[5]))/(E^((3 + E^x)/(3*E^x^2 - 6*x))*(48*E^(2*x^2)*x^3 - 192*E^x^2*x^4 + 192*x^5)),x]","\frac{e^{\frac{-e^x-3}{3 \left(e^{x^2}-2 x\right)}} \log (5)}{16 x^2}","\frac{e^{-\frac{e^x+3}{3 \left(e^{x^2}-2 x\right)}} \log (5)}{16 x^2}",1,"(E^((-3 - E^x)/(3*(E^x^2 - 2*x)))*Log[5])/(16*x^2)","A",1
5074,1,216,30,0.2029841,"\int \frac{e^x (-2-2 x)-294 x^2+336 x^2 (i \pi +\log (3))-96 x^2 (i \pi +\log (3))^2+\left(147 x^2+e^x (1+x)-168 x^2 (i \pi +\log (3))+48 x^2 (i \pi +\log (3))^2\right) \log (x)+\left(e^x+49 x^2-56 x^2 (i \pi +\log (3))+16 x^2 (i \pi +\log (3))^2\right) \log \left(e^x x+49 x^3-56 x^3 (i \pi +\log (3))+16 x^3 (i \pi +\log (3))^2\right)}{e^x x+49 x^3-56 x^3 (i \pi +\log (3))+16 x^3 (i \pi +\log (3))^2} \, dx","Integrate[(E^x*(-2 - 2*x) - 294*x^2 + 336*x^2*(I*Pi + Log[3]) - 96*x^2*(I*Pi + Log[3])^2 + (147*x^2 + E^x*(1 + x) - 168*x^2*(I*Pi + Log[3]) + 48*x^2*(I*Pi + Log[3])^2)*Log[x] + (E^x + 49*x^2 - 56*x^2*(I*Pi + Log[3]) + 16*x^2*(I*Pi + Log[3])^2)*Log[E^x*x + 49*x^3 - 56*x^3*(I*Pi + Log[3]) + 16*x^3*(I*Pi + Log[3])^2])/(E^x*x + 49*x^3 - 56*x^3*(I*Pi + Log[3]) + 16*x^3*(I*Pi + Log[3])^2),x]","\log (x) \log \left(e^x x-x^3 (7 i+4 \pi -4 i \log (3))^2\right)+2 i \tan ^{-1}\left(\frac{8 \pi  x^2 (4 \log (3)-7)}{16 \pi ^2 x^2-49 x^2-16 x^2 \log ^2(3)+56 x^2 \log (3)-e^x}\right)-\log \left(256 \pi ^4 x^4+1568 \pi ^2 x^4+2401 x^4+256 x^4 \log ^4(3)-1792 x^4 \log ^3(3)+512 \pi ^2 x^4 \log ^2(3)+4704 x^4 \log ^2(3)-1792 \pi ^2 x^4 \log (3)-5488 x^4 \log (3)+98 e^x x^2-32 \pi ^2 e^x x^2+32 e^x x^2 \log ^2(3)-112 e^x x^2 \log (3)+e^{2 x}\right)-2 \log (x)","(\log (x)-2) \log \left(x \left(e^x+(x-4 x (2-i \pi -\log (3)))^2\right)\right)",1,"(2*I)*ArcTan[(8*Pi*x^2*(-7 + 4*Log[3]))/(-E^x - 49*x^2 + 16*Pi^2*x^2 + 56*x^2*Log[3] - 16*x^2*Log[3]^2)] - 2*Log[x] + Log[x]*Log[E^x*x - x^3*(7*I + 4*Pi - (4*I)*Log[3])^2] - Log[E^(2*x) + 98*E^x*x^2 - 32*E^x*Pi^2*x^2 + 2401*x^4 + 1568*Pi^2*x^4 + 256*Pi^4*x^4 - 112*E^x*x^2*Log[3] - 5488*x^4*Log[3] - 1792*Pi^2*x^4*Log[3] + 32*E^x*x^2*Log[3]^2 + 4704*x^4*Log[3]^2 + 512*Pi^2*x^4*Log[3]^2 - 1792*x^4*Log[3]^3 + 256*x^4*Log[3]^4]","B",1
5075,1,56,19,0.0091863,"\int \left(1+e^{16}+e^{20}+2 x-6 x^2+5 x^4+e^8 \left(-2+6 x^2\right)+e^{10} \left(-2+2 e^8+6 x^2\right)\right) \, dx","Integrate[1 + E^16 + E^20 + 2*x - 6*x^2 + 5*x^4 + E^8*(-2 + 6*x^2) + E^10*(-2 + 2*E^8 + 6*x^2),x]","x^5+2 e^{10} x^3+2 e^8 x^3-2 x^3+x^2+2 e^{10} \left(e^8-1\right) x+e^{20} x+e^{16} x-2 e^8 x+x","x^2+\left(x^2+e^{10}+e^8-1\right)^2 x",1,"x - 2*E^8*x + E^16*x + E^20*x + 2*E^10*(-1 + E^8)*x + x^2 - 2*x^3 + 2*E^8*x^3 + 2*E^10*x^3 + x^5","B",1
5076,1,27,29,0.0753894,"\int \frac{4-16 x+4 x^2+e^{\frac{1}{4} \left(5 x^2-x^3\right)} \left(10 x^2-23 x^3+16 x^4-3 x^5\right)}{4 x-8 x^2+4 x^3} \, dx","Integrate[(4 - 16*x + 4*x^2 + E^((5*x^2 - x^3)/4)*(10*x^2 - 23*x^3 + 16*x^4 - 3*x^5))/(4*x - 8*x^2 + 4*x^3),x]","e^{\frac{5 x^2}{4}-\frac{x^3}{4}}+\frac{2}{x-1}+\log (x)","e^{\frac{1}{4} (5-x) x^2}+\frac{2}{1-\frac{1}{x}}+\log (x)+2",1,"E^((5*x^2)/4 - x^3/4) + 2/(-1 + x) + Log[x]","A",1
5077,1,23,22,0.0398216,"\int \frac{1}{2} \left(1+4 x+e^{-6+2 x} \left(-2 x-2 x^2\right)\right) \, dx","Integrate[(1 + 4*x + E^(-6 + 2*x)*(-2*x - 2*x^2))/2,x]","-\frac{1}{2} e^{2 x-6} x^2+x^2+\frac{x}{2}","\left(x-\frac{1}{2} \left(e^{2 x-6}+\frac{1}{x}\right) x\right) x+x",1,"x/2 + x^2 - (E^(-6 + 2*x)*x^2)/2","A",1
5078,1,181,35,0.3076128,"\int e^{-2 x} \left(1024 x^3-1152 x^4+352 x^5-32 x^6+e^{2 x+2 \log ^2(4)} (-8+2 x)+e^{2 x} \left(-168+146 x-42 x^2+4 x^3\right)+\left(-1536 x^2+2048 x^3-672 x^4+64 x^5\right) \log (3)+\left(512 x-896 x^2+320 x^3-32 x^4\right) \log ^2(3)+e^x \left(-768 x+1344 x^2-672 x^3+128 x^4-8 x^5+\left(384-1024 x+584 x^2-120 x^3+8 x^4\right) \log (3)\right)+e^{\log ^2(4)} \left(e^{2 x} \left(-80+44 x-6 x^2\right)+e^x \left(-256 x+320 x^2-96 x^3+8 x^4+\left(128-256 x+88 x^2-8 x^3\right) \log (3)\right)\right)\right) \, dx","Integrate[(1024*x^3 - 1152*x^4 + 352*x^5 - 32*x^6 + E^(2*x + 2*Log[4]^2)*(-8 + 2*x) + E^(2*x)*(-168 + 146*x - 42*x^2 + 4*x^3) + (-1536*x^2 + 2048*x^3 - 672*x^4 + 64*x^5)*Log[3] + (512*x - 896*x^2 + 320*x^3 - 32*x^4)*Log[3]^2 + E^x*(-768*x + 1344*x^2 - 672*x^3 + 128*x^4 - 8*x^5 + (384 - 1024*x + 584*x^2 - 120*x^3 + 8*x^4)*Log[3]) + E^Log[4]^2*(E^(2*x)*(-80 + 44*x - 6*x^2) + E^x*(-256*x + 320*x^2 - 96*x^3 + 8*x^4 + (128 - 256*x + 88*x^2 - 8*x^3)*Log[3])))/E^(2*x),x]","e^{-2 x} x \left(-2 \left(x^2-11 x+40\right) e^{2 x+\log ^2(4)}+e^{2 x} \left(x^3-14 x^2+73 x-168\right)+8 x \left(2 x^4-2 x^3 (8+\log (9))+x^2 \left(32+2 \log ^2(3)+26 \log (3)+\log (729)\right)-2 x \left(8 \log ^2(3)+26 \log (3)+\log (729)\right)+32 \log ^2(3)\right)+e^x \left(8 x^4-2 x^3 (44+\log (81))+8 x^2 (40+11 \log (3))-64 x (6+\log (243))+384 \log (3)\right)-8 (x-4)^2 e^{x+\log ^2(4)} (x-\log (3))+(x-8) e^{2 \left(x+\log ^2(4)\right)}\right)","(4-x)^2 \left(x-4 e^{-x} x (\log (3)-x)-3-e^{\log ^2(4)}\right)^2",1,"(x*(E^(2*(x + Log[4]^2))*(-8 + x) - 2*E^(2*x + Log[4]^2)*(40 - 11*x + x^2) + E^(2*x)*(-168 + 73*x - 14*x^2 + x^3) - 8*E^(x + Log[4]^2)*(-4 + x)^2*(x - Log[3]) + E^x*(8*x^4 + 384*Log[3] + 8*x^2*(40 + 11*Log[3]) - 2*x^3*(44 + Log[81]) - 64*x*(6 + Log[243])) + 8*x*(2*x^4 + 32*Log[3]^2 - 2*x^3*(8 + Log[9]) + x^2*(32 + 26*Log[3] + 2*Log[3]^2 + Log[729]) - 2*x*(26*Log[3] + 8*Log[3]^2 + Log[729]))))/E^(2*x)","B",1
5079,1,57,35,0.0568901,"\int \frac{1}{10} \left(40+10 e^x+e^{\frac{1}{5} \left(-5 e^x+x\right)} \left(-1+5 e^x\right)\right) \, dx","Integrate[(40 + 10*E^x + E^((-5*E^x + x)/5)*(-1 + 5*E^x))/10,x]","4 x+e^x+\frac{1}{10} e^{-4 x/5} \left(e^x\right)^{4/5} \Gamma \left(\frac{1}{5},e^x\right)-\frac{1}{2} e^{-4 x/5} \left(e^x\right)^{4/5} \Gamma \left(\frac{6}{5},e^x\right)","2 \left(2-\frac{\frac{1}{2} e^{\frac{x}{5}-e^x}-e^x}{2 x}\right) x",1,"E^x + 4*x + ((E^x)^(4/5)*Gamma[1/5, E^x])/(10*E^((4*x)/5)) - ((E^x)^(4/5)*Gamma[6/5, E^x])/(2*E^((4*x)/5))","C",1
5080,1,42,32,0.1269744,"\int \frac{-25+e^{-2+2 e^{\sqrt[4]{e}}-e^{x^2}-x} \left(-25-50 e^{x^2} x\right)}{1+e^{-4+4 e^{\sqrt[4]{e}}-2 e^{x^2}-2 x}+e^{-2+2 e^{\sqrt[4]{e}}-e^{x^2}-x} (-2-2 x)+2 x+x^2} \, dx","Integrate[(-25 + E^(-2 + 2*E^E^(1/4) - E^x^2 - x)*(-25 - 50*E^x^2*x))/(1 + E^(-4 + 4*E^E^(1/4) - 2*E^x^2 - 2*x) + E^(-2 + 2*E^E^(1/4) - E^x^2 - x)*(-2 - 2*x) + 2*x + x^2),x]","\frac{25 e^{e^{x^2}+x+2}}{e^{e^{x^2}+x+2} (x+1)-e^{2 e^{\sqrt[4]{e}}}}","\frac{25}{-e^{-e^{x^2}-x+2 e^{\sqrt[4]{e}}-2}+x+1}",1,"(25*E^(2 + E^x^2 + x))/(-E^(2*E^E^(1/4)) + E^(2 + E^x^2 + x)*(1 + x))","A",1
5081,0,0,25,0.4821738,"\int e^{-2 x^2-2 x^3} \left(32 e^{2 x^2+2 x^3} x+150 x^5-100 x^7-150 x^8+\left(250 x^4-200 x^6-300 x^7\right) \log (5)+\left(100 x^3-100 x^5-150 x^6\right) \log ^2(5)+e^{x^2+x^3} \left(160 x^3-80 x^5-120 x^6+\left(120 x^2-80 x^4-120 x^5\right) \log (5)\right)\right) \, dx","Integrate[E^(-2*x^2 - 2*x^3)*(32*E^(2*x^2 + 2*x^3)*x + 150*x^5 - 100*x^7 - 150*x^8 + (250*x^4 - 200*x^6 - 300*x^7)*Log[5] + (100*x^3 - 100*x^5 - 150*x^6)*Log[5]^2 + E^(x^2 + x^3)*(160*x^3 - 80*x^5 - 120*x^6 + (120*x^2 - 80*x^4 - 120*x^5)*Log[5])),x]","\int e^{-2 x^2-2 x^3} \left(32 e^{2 x^2+2 x^3} x+150 x^5-100 x^7-150 x^8+\left(250 x^4-200 x^6-300 x^7\right) \log (5)+\left(100 x^3-100 x^5-150 x^6\right) \log ^2(5)+e^{x^2+x^3} \left(160 x^3-80 x^5-120 x^6+\left(120 x^2-80 x^4-120 x^5\right) \log (5)\right)\right) \, dx","\left(5 e^{-x \left(x^2+x\right)} x^2 (x+\log (5))+4 x\right)^2",1,"Integrate[E^(-2*x^2 - 2*x^3)*(32*E^(2*x^2 + 2*x^3)*x + 150*x^5 - 100*x^7 - 150*x^8 + (250*x^4 - 200*x^6 - 300*x^7)*Log[5] + (100*x^3 - 100*x^5 - 150*x^6)*Log[5]^2 + E^(x^2 + x^3)*(160*x^3 - 80*x^5 - 120*x^6 + (120*x^2 - 80*x^4 - 120*x^5)*Log[5])), x]","F",-1
5082,1,25,24,0.1221265,"\int \frac{\left(20-48 x+12 x^2\right) \log ^4(3)+\left(5 x-6 x^2+x^3\right) \log ^4(3) \log (5)+\left(5 x-6 x^2+x^3\right) \log ^4(3) \log \left(-5 x+6 x^2-x^3\right)}{\left(5 x-6 x^2+x^3\right) \log (5)+\left(5 x-6 x^2+x^3\right) \log \left(-5 x+6 x^2-x^3\right)} \, dx","Integrate[((20 - 48*x + 12*x^2)*Log[3]^4 + (5*x - 6*x^2 + x^3)*Log[3]^4*Log[5] + (5*x - 6*x^2 + x^3)*Log[3]^4*Log[-5*x + 6*x^2 - x^3])/((5*x - 6*x^2 + x^3)*Log[5] + (5*x - 6*x^2 + x^3)*Log[-5*x + 6*x^2 - x^3]),x]","\log ^4(3) \left(4 \log \left(\log \left(-x \left(x^2-6 x+5\right)\right)+\log (5)\right)+x\right)","\log ^4(3) (x+4 \log (\log ((5-x) (x-1) x)+\log (5)))",1,"Log[3]^4*(x + 4*Log[Log[5] + Log[-(x*(5 - 6*x + x^2))]])","A",1
5083,1,24,25,0.1072983,"\int \frac{-3 e^2-12 e x-12 x^2+e^{\frac{x^2}{6}} \left(-6+e x+2 x^2\right)+e^x \left(3 e^2+12 e x+12 x^2\right)}{3 e^2+12 e x+12 x^2} \, dx","Integrate[(-3*E^2 - 12*E*x - 12*x^2 + E^(x^2/6)*(-6 + E*x + 2*x^2) + E^x*(3*E^2 + 12*E*x + 12*x^2))/(3*E^2 + 12*E*x + 12*x^2),x]","\frac{e^{\frac{x^2}{6}}}{2 x+e}-x+e^x","\frac{e^{\frac{x^2}{6}}}{2 x+e}-x+e^x-4",1,"E^x - x + E^(x^2/6)/(E + 2*x)","A",1
5084,1,24,27,0.4664306,"\int \frac{e^x (-16-16 x)+e^{x+\frac{2}{3} \left(2 x+2 x^2\right)} (-1-x)+e^{x+\frac{1}{3} \left(2 x+2 x^2\right)} \left(10+6 x-8 x^2\right)}{4-4 e^{\frac{1}{3} \left(2 x+2 x^2\right)}+e^{\frac{2}{3} \left(2 x+2 x^2\right)}} \, dx","Integrate[(E^x*(-16 - 16*x) + E^(x + (2*(2*x + 2*x^2))/3)*(-1 - x) + E^(x + (2*x + 2*x^2)/3)*(10 + 6*x - 8*x^2))/(4 - 4*E^((2*x + 2*x^2)/3) + E^((2*(2*x + 2*x^2))/3)),x]","-e^x \left(1-\frac{6}{e^{\frac{2}{3} x (x+1)}-2}\right) x","e^x \left(\frac{6 x}{e^{\frac{1}{3} x (2 x+2)}-2}-x\right)",1,"-(E^x*(1 - 6/(-2 + E^((2*x*(1 + x))/3)))*x)","A",1
5085,1,63,27,0.0898522,"\int \frac{e^{2/3} \left(-48 x^4-2 x^6\right)+\sqrt[3]{e} \left(-16800 x^4-480 x^5-700 x^6-20 x^7\right)+\left(e^{2/3} \left(-8 x^3+24 x^4\right)+\sqrt[3]{e} \left(-8560 x^3+8320 x^4\right)\right) \log \left(x^2\right)+\left(4 e^{2/3} x^3+\sqrt[3]{e} \left(-1440 x^2+4280 x^3+20 x^4\right)\right) \log ^2\left(x^2\right)+\sqrt[3]{e} \left(-80 x+720 x^2\right) \log ^3\left(x^2\right)+40 \sqrt[3]{e} x \log ^4\left(x^2\right)}{42875 x^6+3675 x^7+105 x^8+x^9+\left(44100 x^5+2520 x^6+36 x^7\right) \log \left(x^2\right)+\left(18795 x^4+642 x^5+3 x^6\right) \log ^2\left(x^2\right)+\left(4248 x^3+72 x^4\right) \log ^3\left(x^2\right)+\left(537 x^2+3 x^3\right) \log ^4\left(x^2\right)+36 x \log ^5\left(x^2\right)+\log ^6\left(x^2\right)} \, dx","Integrate[(E^(2/3)*(-48*x^4 - 2*x^6) + E^(1/3)*(-16800*x^4 - 480*x^5 - 700*x^6 - 20*x^7) + (E^(2/3)*(-8*x^3 + 24*x^4) + E^(1/3)*(-8560*x^3 + 8320*x^4))*Log[x^2] + (4*E^(2/3)*x^3 + E^(1/3)*(-1440*x^2 + 4280*x^3 + 20*x^4))*Log[x^2]^2 + E^(1/3)*(-80*x + 720*x^2)*Log[x^2]^3 + 40*E^(1/3)*x*Log[x^2]^4)/(42875*x^6 + 3675*x^7 + 105*x^8 + x^9 + (44100*x^5 + 2520*x^6 + 36*x^7)*Log[x^2] + (18795*x^4 + 642*x^5 + 3*x^6)*Log[x^2]^2 + (4248*x^3 + 72*x^4)*Log[x^2]^3 + (537*x^2 + 3*x^3)*Log[x^2]^4 + 36*x*Log[x^2]^5 + Log[x^2]^6),x]","\frac{\sqrt[3]{e} x^2 \left(\left(20 (x+35)+\sqrt[3]{e}\right) x^2+20 \log ^2\left(x^2\right)+240 x \log \left(x^2\right)\right)}{\left((x+35) x^2+\log ^2\left(x^2\right)+12 x \log \left(x^2\right)\right)^2}","\left(\frac{\sqrt[3]{e}}{\left(\frac{\log \left(x^2\right)}{x}+6\right)^2+x-1}+10\right)^2",1,"(E^(1/3)*x^2*(x^2*(E^(1/3) + 20*(35 + x)) + 240*x*Log[x^2] + 20*Log[x^2]^2))/(x^2*(35 + x) + 12*x*Log[x^2] + Log[x^2]^2)^2","B",1
5086,1,23,26,0.2485631,"\int \frac{2-33 x+16 x^2-2 x^3+\left(16 x-8 x^2+x^3\right) \log \left(3 \exp \left(\frac{-1+\left(-8 x+2 x^2\right) \log (x)}{-8 x+2 x^2}\right) x\right)}{\left(16 x-8 x^2+x^3\right) \log ^2\left(3 \exp \left(\frac{-1+\left(-8 x+2 x^2\right) \log (x)}{-8 x+2 x^2}\right) x\right)} \, dx","Integrate[(2 - 33*x + 16*x^2 - 2*x^3 + (16*x - 8*x^2 + x^3)*Log[3*E^((-1 + (-8*x + 2*x^2)*Log[x])/(-8*x + 2*x^2))*x])/((16*x - 8*x^2 + x^3)*Log[3*E^((-1 + (-8*x + 2*x^2)*Log[x])/(-8*x + 2*x^2))*x]^2),x]","\frac{x}{\log \left(3 e^{\frac{1}{8 x-2 x^2}} x^2\right)}","\frac{x}{\log \left(3 e^{\frac{1}{2 (4-x) x}} x^2\right)}",1,"x/Log[3*E^(8*x - 2*x^2)^(-1)*x^2]","A",1
5087,1,7,13,0.0000618,"\int 2 \log \left(\frac{25}{4}\right) \, dx","Integrate[2*Log[25/4],x]","2 x \log \left(\frac{25}{4}\right)","-\left(\left(e^3-2 x\right) \log \left(\frac{25}{4}\right)\right)",1,"2*x*Log[25/4]","A",1
5088,1,15,15,0.0054418,"\int -\frac{10 e^5}{-21+e^5 (20-10 x)+10 e^5 \log (4)} \, dx","Integrate[(-10*E^5)/(-21 + E^5*(20 - 10*x) + 10*E^5*Log[4]),x]","\log \left(10 e^5 (x-2-\log (4))+21\right)","\log \left(21-10 e^5 (-x+2+\log (4))\right)",1,"Log[21 + 10*E^5*(-2 + x - Log[4])]","A",1
5089,1,16,23,0.0258982,"\int \frac{e^{\frac{1}{-4+e \log (x)}} \left(800-320 x+e (-50+10 x)+e (-400+160 x) \log (x)+e^2 (50-20 x) \log ^2(x)\right)}{16-8 e \log (x)+e^2 \log ^2(x)} \, dx","Integrate[(E^(-4 + E*Log[x])^(-1)*(800 - 320*x + E*(-50 + 10*x) + E*(-400 + 160*x)*Log[x] + E^2*(50 - 20*x)*Log[x]^2))/(16 - 8*E*Log[x] + E^2*Log[x]^2),x]","-10 (x-5) x e^{\frac{1}{e \log (x)-4}}","10 (5-x) x e^{-\frac{1}{4-e \log (x)}}+5",1,"-10*E^(-4 + E*Log[x])^(-1)*(-5 + x)*x","A",1
5090,1,26,14,0.1525108,"\int e^{6401 x-6400 x^3+2400 x^5-400 x^7+25 x^9} \left(6401-19200 x^2+12000 x^4-2800 x^6+225 x^8\right) \, dx","Integrate[E^(6401*x - 6400*x^3 + 2400*x^5 - 400*x^7 + 25*x^9)*(6401 - 19200*x^2 + 12000*x^4 - 2800*x^6 + 225*x^8),x]","e^{25 x^9-400 x^7+2400 x^5-6400 x^3+6401 x}","e^{25 x \left(x^2-4\right)^4+x}",1,"E^(6401*x - 6400*x^3 + 2400*x^5 - 400*x^7 + 25*x^9)","A",1
5091,1,25,22,0.0432134,"\int \frac{x+e^{16} x^2 \left(e^{e^x} \left(-2 e^{12}-e^{12+x} x\right)+e^{12+x^2} \left(2+2 x^2\right)\right)}{x} \, dx","Integrate[(x + E^16*x^2*(E^E^x*(-2*E^12 - E^(12 + x)*x) + E^(12 + x^2)*(2 + 2*x^2)))/x,x]","-e^{e^x+28} x^2+e^{x^2+28} x^2+x","e^{28} \left(e^{x^2}-e^{e^x}\right) x^2+x",1,"x - E^(28 + E^x)*x^2 + E^(28 + x^2)*x^2","A",1
5092,1,35,25,0.059402,"\int \frac{-24+4 e^{x/2}+e^{x/4} (3-16 x)+16 x^2+e^x \left(24+24 x-16 x^2+16 x^3+e^{x/2} (-4+4 x)+e^{x/4} \left(-15+16 x-16 x^2\right)\right)}{36+48 x^2+4 e^{x/2} x^2+16 x^4+e^{x/4} \left(-24 x-16 x^3\right)} \, dx","Integrate[(-24 + 4*E^(x/2) + E^(x/4)*(3 - 16*x) + 16*x^2 + E^x*(24 + 24*x - 16*x^2 + 16*x^3 + E^(x/2)*(-4 + 4*x) + E^(x/4)*(-15 + 16*x - 16*x^2)))/(36 + 48*x^2 + 4*E^(x/2)*x^2 + 16*x^4 + E^(x/4)*(-24*x - 16*x^3)),x]","\frac{\left(e^x-1\right) \left(e^{x/4}-2 x\right)}{-2 x^2+e^{x/4} x-3}","\frac{e^x-1}{x-\frac{3}{e^{x/4}-2 x}}",1,"((-1 + E^x)*(E^(x/4) - 2*x))/(-3 + E^(x/4)*x - 2*x^2)","A",1
5093,1,21,22,0.0273361,"\int \frac{6 x^4+24 x^9+12 x^3 \log ^2(2)}{x^3+3 x^4+3 x^5+x^6-3 x^8-6 x^9-3 x^{10}+3 x^{13}+3 x^{14}-x^{18}+\left(3 x^2+6 x^3+3 x^4-6 x^7-6 x^8+3 x^{12}\right) \log ^2(2)+\left(3 x+3 x^2-3 x^6\right) \log ^4(2)+\log ^6(2)} \, dx","Integrate[(6*x^4 + 24*x^9 + 12*x^3*Log[2]^2)/(x^3 + 3*x^4 + 3*x^5 + x^6 - 3*x^8 - 6*x^9 - 3*x^10 + 3*x^13 + 3*x^14 - x^18 + (3*x^2 + 6*x^3 + 3*x^4 - 6*x^7 - 6*x^8 + 3*x^12)*Log[2]^2 + (3*x + 3*x^2 - 3*x^6)*Log[2]^4 + Log[2]^6),x]","\frac{3 x^4}{\left(-x^6+x^2+x+\log ^2(2)\right)^2}","\frac{3}{\left(-x^4+\frac{\log ^2(2)}{x^2}+\frac{1}{x}+1\right)^2}",1,"(3*x^4)/(x + x^2 - x^6 + Log[2]^2)^2","A",1
5094,1,22,29,0.3300359,"\int \frac{1}{5} e^{\frac{1}{5} \left(60+15 x+e^{-2+x} x+100 x^2\right)} \left(15+200 x+e^{-2+x} (1+x)\right) \, dx","Integrate[(E^((60 + 15*x + E^(-2 + x)*x + 100*x^2)/5)*(15 + 200*x + E^(-2 + x)*(1 + x)))/5,x]","e^{20 x^2+\frac{1}{5} e^{x-2} x+3 x+12}","e^{5 \left(4 x^2+2\right)+\left(\frac{e^{x-2}}{5}+4\right) x-x+2}",1,"E^(12 + 3*x + (E^(-2 + x)*x)/5 + 20*x^2)","A",1
5095,1,18,18,0.2417098,"\int \frac{-2 x-x \log (15 x)+(2 x+2 x \log (15 x)) \log (x+x \log (15 x))}{(2+2 \log (15 x)) \log ^2(x+x \log (15 x))} \, dx","Integrate[(-2*x - x*Log[15*x] + (2*x + 2*x*Log[15*x])*Log[x + x*Log[15*x]])/((2 + 2*Log[15*x])*Log[x + x*Log[15*x]]^2),x]","\frac{x^2}{2 \log (x (\log (15 x)+1))}","\frac{x^2}{2 \log (x+x \log (15 x))}",1,"x^2/(2*Log[x*(1 + Log[15*x])])","A",1
5096,1,34,29,0.152077,"\int \frac{-2+\left(16-15 e^x+12 x\right) \log (9+\log (5))}{1+\left(-5+5 e^x-6 x\right) \log (9+\log (5))} \, dx","Integrate[(-2 + (16 - 15*E^x + 12*x)*Log[9 + Log[5]])/(1 + (-5 + 5*E^x - 6*x)*Log[9 + Log[5]]),x]","-2 x-\log \left(-6 x \log (9+\log (5))+5 e^x \log (9+\log (5))+1-5 \log (9+\log (5))\right)","-2 x-\log \left(1-\left(x+5 \left(x-e^x\right)+5\right) \log (9+\log (5))\right)+3",1,"-2*x - Log[1 - 5*Log[9 + Log[5]] + 5*E^x*Log[9 + Log[5]] - 6*x*Log[9 + Log[5]]]","A",1
5097,1,37,34,0.033717,"\int \frac{-48 x-48 x^2-192 x^3-152 x^4-62 x^5-4 x^6+6 x^7+\left(-16-16 x+4 x^2+4 x^3-x^4\right) \log (5)}{16 x+16 x^2-4 x^3-4 x^4+x^5} \, dx","Integrate[(-48*x - 48*x^2 - 192*x^3 - 152*x^4 - 62*x^5 - 4*x^6 + 6*x^7 + (-16 - 16*x + 4*x^2 + 4*x^3 - x^4)*Log[5])/(16*x + 16*x^2 - 4*x^3 - 4*x^4 + x^5),x]","2 x^3+10 x^2+\frac{40 (11 x+13)}{x^2-2 x-4}+42 x-\log (5) \log (x)","\left(x^2+1\right) \left(x-\frac{(x+4)^2}{-x+\frac{4}{x}+2}\right)-\log (5) \log (x)",1,"42*x + 10*x^2 + 2*x^3 + (40*(13 + 11*x))/(-4 - 2*x + x^2) - Log[5]*Log[x]","A",1
5098,1,15,16,0.0869294,"\int \frac{-1-x-4 e^{1024-4 x} x}{x} \, dx","Integrate[(-1 - x - 4*E^(1024 - 4*x)*x)/x,x]","-x+e^{1024-4 x}-\log (x)","-x+e^{1024-4 x}-\log (x)+4",1,"E^(1024 - 4*x) - x - Log[x]","A",1
5099,1,20,14,0.0099498,"\int \frac{2-x^2}{-2 x-15 x^2+e^2 x^2-x^3} \, dx","Integrate[(2 - x^2)/(-2*x - 15*x^2 + E^2*x^2 - x^3),x]","\log \left(x^2-e^2 x+15 x+2\right)-\log (x)","\log \left(x+\frac{2}{x}-e^2+15\right)",1,"-Log[x] + Log[2 + 15*x - E^2*x + x^2]","A",1
5100,1,16,30,0.0089036,"\int \frac{-3 e^{\frac{3+4 x}{x}}+5 x^2+2 x^3}{x^2} \, dx","Integrate[(-3*E^((3 + 4*x)/x) + 5*x^2 + 2*x^3)/x^2,x]","x^2+5 x+e^{\frac{3}{x}+4}","5 x^2+4 \left(x-x^2\right)+x+e^{\frac{3}{x}+4}+1-\log (4)",1,"E^(4 + 3/x) + 5*x + x^2","A",1
5101,1,22,28,0.2348945,"\int \frac{e^x \left(84+6 e^5\right)+e^x \left(-70-70 x+14 x^2+e^5 \left(-5-5 x+x^2\right)\right) \log (x)}{1+(-10+2 x) \log (x)+\left(25-10 x+x^2\right) \log ^2(x)} \, dx","Integrate[(E^x*(84 + 6*E^5) + E^x*(-70 - 70*x + 14*x^2 + E^5*(-5 - 5*x + x^2))*Log[x])/(1 + (-10 + 2*x)*Log[x] + (25 - 10*x + x^2)*Log[x]^2),x]","\frac{\left(14+e^5\right) e^x x}{x \log (x)-5 \log (x)+1}","\frac{e^x \left(2 x-\left(16+e^5\right) x\right)}{(5-x) \log (x)-1}",1,"(E^x*(14 + E^5)*x)/(1 - 5*Log[x] + x*Log[x])","A",1
5102,1,19,21,0.0957797,"\int \frac{e^5 (3-12 x)+x-4 x^2+\left(-x+2 x^2\right) \log \left(x-2 x^2\right)}{-x^3+2 x^4+e^{10} \left(-9 x+18 x^2\right)+e^5 \left(-6 x^2+12 x^3\right)} \, dx","Integrate[(E^5*(3 - 12*x) + x - 4*x^2 + (-x + 2*x^2)*Log[x - 2*x^2])/(-x^3 + 2*x^4 + E^10*(-9*x + 18*x^2) + E^5*(-6*x^2 + 12*x^3)),x]","-\frac{\log ((1-2 x) x)}{x+3 e^5}","\frac{\log (-x (2 x-1))}{-x-3 e^5}",1,"-(Log[(1 - 2*x)*x]/(3*E^5 + x))","A",1
5103,1,20,22,0.1188965,"\int \frac{20880+41760 x+20880 x^2+\left(41760 x+41760 x^2\right) \log (x)+\left(1600 x+1600 x^2\right) \log ^2(x)}{68121 x+5220 x \log (x)+100 x \log ^2(x)} \, dx","Integrate[(20880 + 41760*x + 20880*x^2 + (41760*x + 41760*x^2)*Log[x] + (1600*x + 1600*x^2)*Log[x]^2)/(68121*x + 5220*x*Log[x] + 100*x*Log[x]^2),x]","\frac{80 (10 x (x+2) \log (x)-261)}{100 \log (x)+2610}","\frac{(4 x+4)^2 \log (x)}{2 (\log (x)+26)+\frac{1}{5}}",1,"(80*(-261 + 10*x*(2 + x)*Log[x]))/(2610 + 100*Log[x])","A",1
5104,1,28,25,0.0244221,"\int \frac{1}{9} \left(108 x+e^{\frac{\log ^2(x)}{9}} (18+4 \log (x))-72 \log \left(x^2\right)-18 \log ^2\left(x^2\right)\right) \, dx","Integrate[(108*x + E^(Log[x]^2/9)*(18 + 4*Log[x]) - 72*Log[x^2] - 18*Log[x^2]^2)/9,x]","6 x^2-2 x \log ^2\left(x^2\right)+2 x e^{\frac{\log ^2(x)}{9}}","2 x \left(-\log ^2\left(x^2\right)+3 x+e^{\frac{\log ^2(x)}{9}}\right)",1,"2*E^(Log[x]^2/9)*x + 6*x^2 - 2*x*Log[x^2]^2","A",1
5105,1,27,29,0.2656076,"\int \frac{e^{-4-x} \left(18+6 x-15 x^2-3 x^3+\left(-6-6 x+9 x^2+3 x^3\right) \log \left(\frac{4+16 x+20 x^2+8 x^3+x^4}{x^2}\right)\right)}{2+4 x+x^2} \, dx","Integrate[(E^(-4 - x)*(18 + 6*x - 15*x^2 - 3*x^3 + (-6 - 6*x + 9*x^2 + 3*x^3)*Log[(4 + 16*x + 20*x^2 + 8*x^3 + x^4)/x^2]))/(2 + 4*x + x^2),x]","-3 e^{-x-4} x \left(\log \left(\frac{\left(x^2+4 x+2\right)^2}{x^2}\right)-1\right)","3 e^{-x-4} x \left(1-\log \left(\left(\frac{x-2}{x}-x-5\right)^2\right)\right)",1,"-3*E^(-4 - x)*x*(-1 + Log[(2 + 4*x + x^2)^2/x^2])","A",1
5106,1,25,25,0.1576271,"\int \frac{-32-16 x+64 x^2+32 x^3+4 x^4+e^4 \left(-32 x^2-16 x^3-2 x^4\right)+e^x \left(16 x^2+8 x^3+x^4\right)}{16 x^2+8 x^3+x^4} \, dx","Integrate[(-32 - 16*x + 64*x^2 + 32*x^3 + 4*x^4 + E^4*(-32*x^2 - 16*x^3 - 2*x^4) + E^x*(16*x^2 + 8*x^3 + x^4))/(16*x^2 + 8*x^3 + x^4),x]","-2 e^4 x+4 x+e^x-\frac{2}{x+4}+\frac{2}{x}","\frac{2}{\frac{x^2}{4}+x}-2 \left(e^4-2\right) x+e^x",1,"E^x + 2/x + 4*x - 2*E^4*x - 2/(4 + x)","A",1
5107,1,22,20,0.0057142,"\int \frac{3 x^3+(30-30 x) \log (3) \log (25)}{x^3} \, dx","Integrate[(3*x^3 + (30 - 30*x)*Log[3]*Log[25])/x^3,x]","-\frac{15 \log (3) \log (25)}{x^2}+3 x+\frac{30 \log (3) \log (25)}{x}","3 \left(x-\frac{5 (1-x)^2 \log (3) \log (25)}{x^2}\right)",1,"3*x - (15*Log[3]*Log[25])/x^2 + (30*Log[3]*Log[25])/x","A",1
5108,1,32,35,0.4021827,"\int \frac{\left(6-2 x-4 x^2\right) \log ^2(1-x)+\left(x^2+\left(x-x^2\right) \log (1-x)-4 x \log ^2(1-x)\right) \log \left(-\frac{e^{-\frac{x}{4 \log (1-x)}}}{-1+x}\right)+(-2+2 x) \log ^2(1-x) \log ^2\left(-\frac{e^{-\frac{x}{4 \log (1-x)}}}{-1+x}\right)}{(-2+2 x) \log ^2(1-x)} \, dx","Integrate[((6 - 2*x - 4*x^2)*Log[1 - x]^2 + (x^2 + (x - x^2)*Log[1 - x] - 4*x*Log[1 - x]^2)*Log[-(1/(E^(x/(4*Log[1 - x]))*(-1 + x)))] + (-2 + 2*x)*Log[1 - x]^2*Log[-(1/(E^(x/(4*Log[1 - x]))*(-1 + x)))]^2)/((-2 + 2*x)*Log[1 - x]^2),x]","x \left(-x+\log ^2\left(-\frac{e^{-\frac{x}{4 \log (1-x)}}}{x-1}\right)-3\right)","x+x \left(-x+\log ^2\left(\frac{e^{-\frac{x}{4 \log (1-x)}}}{1-x}\right)-4\right)",1,"x*(-3 - x + Log[-(1/(E^(x/(4*Log[1 - x]))*(-1 + x)))]^2)","A",1
5109,1,44,30,1.0470795,"\int \frac{-512-448 x-226 x^2-56 x^3-8 x^4+e^x \left(160-218 x-202 x^2-142 x^3-40 x^4-8 x^5+\left(-32-14 x-4 x^2\right) \log (2)\right)+e^{2 x} \left(90 x+30 x^2+20 x^3+\left(-18 x-6 x^2-4 x^3\right) \log (2)\right)+\left(160+294 x+246 x^2+84 x^3+16 x^4+\left(-32-14 x-4 x^2\right) \log (2)+e^x \left(20 x-10 x^2+20 x^3+\left(-4 x+2 x^2-4 x^3\right) \log (2)\right)\right) \log (x)+\left(-70 x-40 x^2+\left(14 x+8 x^2\right) \log (2)\right) \log ^2(x)}{e^{3 x} x+3 e^{2 x} x \log (x)+3 e^x x \log ^2(x)+x \log ^3(x)} \, dx","Integrate[(-512 - 448*x - 226*x^2 - 56*x^3 - 8*x^4 + E^x*(160 - 218*x - 202*x^2 - 142*x^3 - 40*x^4 - 8*x^5 + (-32 - 14*x - 4*x^2)*Log[2]) + E^(2*x)*(90*x + 30*x^2 + 20*x^3 + (-18*x - 6*x^2 - 4*x^3)*Log[2]) + (160 + 294*x + 246*x^2 + 84*x^3 + 16*x^4 + (-32 - 14*x - 4*x^2)*Log[2] + E^x*(20*x - 10*x^2 + 20*x^3 + (-4*x + 2*x^2 - 4*x^3)*Log[2]))*Log[x] + (-70*x - 40*x^2 + (14*x + 8*x^2)*Log[2])*Log[x]^2)/(E^(3*x)*x + 3*E^(2*x)*x*Log[x] + 3*E^x*x*Log[x]^2 + x*Log[x]^3),x]","\frac{\left(2 x^2+7 x+16\right) \left(2 x^2+7 x+(\log (4)-10) \log (x)+e^x (\log (4)-10)+16\right)}{\left(e^x+\log (x)\right)^2}","\left(-\frac{-x^2+x-(x+4)^2}{e^x+\log (x)}-5+\log (2)\right)^2",1,"((16 + 7*x + 2*x^2)*(16 + 7*x + 2*x^2 + E^x*(-10 + Log[4]) + (-10 + Log[4])*Log[x]))/(E^x + Log[x])^2","A",1
5110,1,15,21,0.0006183,"\int \frac{1}{25} (92-2 x) \, dx","Integrate[(92 - 2*x)/25,x]","-\frac{2}{25} \left(\frac{x^2}{2}-46 x\right)","-\left(\frac{x+4}{5}-5\right)^2+2 x-e+6",1,"(-2*(-46*x + x^2/2))/25","A",1
5111,1,20,26,0.0000717,"\int \left(-144+2 e^{30}+148 x-24 x^2\right) \, dx","Integrate[-144 + 2*E^30 + 148*x - 24*x^2,x]","-8 x^3+74 x^2+2 e^{30} x-144 x","2 \left(2-\left((9-2 x)^2-x-e^{30}-9\right) x\right)-1",1,"-144*x + 2*E^30*x + 74*x^2 - 8*x^3","A",1
5112,1,24,22,0.4731722,"\int e^{-e^{x^2}} \left(3 x^2-2 e^{x^2} x^4+e^{e^{x^2}} \left(2+e^{6+x} (1+x)\right)\right) \, dx","Integrate[(3*x^2 - 2*E^x^2*x^4 + E^E^x^2*(2 + E^(6 + x)*(1 + x)))/E^E^x^2,x]","e^{-e^{x^2}} x^3+e^{x+6} x+2 x","x \left(e^{-e^{x^2}} x^2+e^{x+6}+2\right)",1,"2*x + E^(6 + x)*x + x^3/E^E^x^2","A",1
5113,1,53,29,0.0840471,"\int \frac{36 x^6-36 x^7+8 x^8+e^e \left(-64+180 x^6-144 x^7+4 x^8+8 x^9\right)+e^{2 e} \left(-160-40 x+225 x^6-135 x^7-31 x^8+11 x^9+2 x^{10}\right)}{32 x^5+e^e \left(160 x^5+32 x^6\right)+e^{2 e} \left(200 x^5+80 x^6+8 x^7\right)} \, dx","Integrate[(36*x^6 - 36*x^7 + 8*x^8 + E^E*(-64 + 180*x^6 - 144*x^7 + 4*x^8 + 8*x^9) + E^(2*E)*(-160 - 40*x + 225*x^6 - 135*x^7 - 31*x^8 + 11*x^9 + 2*x^10))/(32*x^5 + E^E*(160*x^5 + 32*x^6) + E^(2*E)*(200*x^5 + 80*x^6 + 8*x^7)),x]","\frac{2 (x-3)^2 x^6+e^e \left(x^9-x^8-21 x^7+45 x^6+16\right)}{16 x^4 \left(e^e (x+5)+2\right)}","\frac{1}{\left(x+2 e^{-e}+5\right) x^4}+\frac{1}{16} (x-3)^2 x^2",1,"(2*(-3 + x)^2*x^6 + E^E*(16 + 45*x^6 - 21*x^7 - x^8 + x^9))/(16*x^4*(2 + E^E*(5 + x)))","A",1
5114,1,36,33,0.5805802,"\int \frac{10 e^{e^{5/x}+\frac{5}{x}} x-x^3+e^{-2+e^{5/x}+e^x+2 x} \left(-5 e^{5/x}-x+2 x^2+e^x x^2\right)}{x^3} \, dx","Integrate[(10*E^(E^(5/x) + 5/x)*x - x^3 + E^(-2 + E^(5/x) + E^x + 2*x)*(-5*E^(5/x) - x + 2*x^2 + E^x*x^2))/x^3,x]","-x-2 e^{e^{5/x}}+\frac{e^{2 x+e^{5/x}+e^x-2}}{x}","-e^{e^{5/x}} \left(2-\frac{e^{2 x+e^x-2}}{x}\right)-x+7",1,"-2*E^E^(5/x) + E^(-2 + E^(5/x) + E^x + 2*x)/x - x","A",1
5115,1,35,29,0.2024884,"\int \frac{e^{-\frac{3-4 e^3}{4 x}} \left(e^x \left(-3+4 e^3-4 x^2\right)+\left(3 x-4 e^3 x+4 x^2\right) \log (4)\right)}{4 x^2 \log (4)} \, dx","Integrate[(E^x*(-3 + 4*E^3 - 4*x^2) + (3*x - 4*E^3*x + 4*x^2)*Log[4])/(4*E^((3 - 4*E^3)/(4*x))*x^2*Log[4]),x]","\frac{e^{\frac{4 e^3-3}{4 x}} \left(4 x \log (4)-4 e^x\right)}{4 \log (4)}","e^{\frac{e^3}{x}-\frac{3}{4 x}} \left(x-\frac{e^x}{\log (4)}\right)",1,"(E^((-3 + 4*E^3)/(4*x))*(-4*E^x + 4*x*Log[4]))/(4*Log[4])","A",1
5116,1,23,22,0.1434755,"\int \frac{e^x \left(-4+\left(-6 x-4 x^2\right) \log (3)\right) \left(2+\left(3 x+2 x^2\right) \log (3)+\left(2 x+\left(3 x+7 x^2+2 x^3\right) \log (3)\right) \log (x)\right)}{\log (3) \left(2 x+\left(3 x^2+2 x^3\right) \log (3)\right)} \, dx","Integrate[(E^x*(-4 + (-6*x - 4*x^2)*Log[3])*(2 + (3*x + 2*x^2)*Log[3] + (2*x + (3*x + 7*x^2 + 2*x^3)*Log[3])*Log[x]))/(Log[3]*(2*x + (3*x^2 + 2*x^3)*Log[3])),x]","-\frac{2 e^x \left(x^2 \log (9)+x \log (27)+2\right) \log (x)}{\log (3)}","e^x \left(-4 (x+2) x+2 x-\frac{4}{\log (3)}\right) \log (x)",1,"(-2*E^x*(2 + x^2*Log[9] + x*Log[27])*Log[x])/Log[3]","A",1
5117,1,110,30,1.7638989,"\int \frac{\exp \left(\frac{2 \left(4 x^2+e^x \left(4 x^2-4 x^3\right)+e^{2 x} \left(-e^3+x^2-2 x^3+x^4\right)+\left(4 x^2-4 x^3+e^x \left(-2 e^3+2 x^2-4 x^3+2 x^4\right)\right) \log (x)+\left(-e^3+x^2-2 x^3+x^4\right) \log ^2(x)\right)}{e^{2 x}+2 e^x \log (x)+\log ^2(x)}\right) \left(-16 x+e^x \left(8 x-8 x^2\right)+e^{2 x} \left(16 x-32 x^2+8 x^3\right)+e^{3 x} \left(4 x-12 x^2+8 x^3\right)+\left(8 x+8 x^2+e^x \left(32 x-56 x^2+8 x^3\right)+e^{2 x} \left(12 x-36 x^2+24 x^3\right)\right) \log (x)+\left(16 x-24 x^2+e^x \left(12 x-36 x^2+24 x^3\right)\right) \log ^2(x)+\left(4 x-12 x^2+8 x^3\right) \log ^3(x)\right)}{e^{3 x}+3 e^{2 x} \log (x)+3 e^x \log ^2(x)+\log ^3(x)} \, dx","Integrate[(E^((2*(4*x^2 + E^x*(4*x^2 - 4*x^3) + E^(2*x)*(-E^3 + x^2 - 2*x^3 + x^4) + (4*x^2 - 4*x^3 + E^x*(-2*E^3 + 2*x^2 - 4*x^3 + 2*x^4))*Log[x] + (-E^3 + x^2 - 2*x^3 + x^4)*Log[x]^2))/(E^(2*x) + 2*E^x*Log[x] + Log[x]^2))*(-16*x + E^x*(8*x - 8*x^2) + E^(2*x)*(16*x - 32*x^2 + 8*x^3) + E^(3*x)*(4*x - 12*x^2 + 8*x^3) + (8*x + 8*x^2 + E^x*(32*x - 56*x^2 + 8*x^3) + E^(2*x)*(12*x - 36*x^2 + 24*x^3))*Log[x] + (16*x - 24*x^2 + E^x*(12*x - 36*x^2 + 24*x^3))*Log[x]^2 + (4*x - 12*x^2 + 8*x^3)*Log[x]^3))/(E^(3*x) + 3*E^(2*x)*Log[x] + 3*E^x*Log[x]^2 + Log[x]^3),x]","x^{-\frac{4 \left(-e^x (x-1)^2 x^2+2 (x-1) x^2+e^{x+3}\right)}{\left(e^x+\log (x)\right)^2}} \exp \left(-\frac{2 \left(-e^{2 x} (x-1)^2 x^2+4 e^x (x-1) x^2-4 x^2+\left(e^3-(x-1)^2 x^2\right) \log ^2(x)+e^{2 x+3}\right)}{\left(e^x+\log (x)\right)^2}\right)","\exp \left(2 \left(-x^2+x+\frac{2 x}{e^x+\log (x)}\right)^2-2 e^3\right)",1,"1/(E^((2*(E^(3 + 2*x) - 4*x^2 + 4*E^x*(-1 + x)*x^2 - E^(2*x)*(-1 + x)^2*x^2 + (E^3 - (-1 + x)^2*x^2)*Log[x]^2))/(E^x + Log[x])^2)*x^((4*(E^(3 + x) + 2*(-1 + x)*x^2 - E^x*(-1 + x)^2*x^2))/(E^x + Log[x])^2))","B",1
5118,1,18,19,0.170622,"\int \frac{-25-5 x+10 x^2+2 x^3+\left(-25-10 x+5 x^2+2 x^3+(-25-10 x) \log (x)\right) \log \left(\frac{1}{5} \left(5-x^2+5 \log (x)\right)\right)}{5-x^2+5 \log (x)} \, dx","Integrate[(-25 - 5*x + 10*x^2 + 2*x^3 + (-25 - 10*x + 5*x^2 + 2*x^3 + (-25 - 10*x)*Log[x])*Log[(5 - x^2 + 5*Log[x])/5])/(5 - x^2 + 5*Log[x]),x]","-x (x+5) \log \left(-\frac{x^2}{5}+\log (x)+1\right)","(-x-5) x \log \left(-\frac{x^2}{5}+\log (x)+1\right)",1,"-(x*(5 + x)*Log[1 - x^2/5 + Log[x]])","A",1
5119,1,34,33,0.529159,"\int \frac{-200-280 x+18 x^2+122 x^3+34 x^4+\left(20 x^2-2 x^4\right) \log (x)}{100-140 x+9 x^2+68 x^3-24 x^4-8 x^5+4 x^6+\left(20 x^2-14 x^3-4 x^4+4 x^5\right) \log (x)+x^4 \log ^2(x)} \, dx","Integrate[(-200 - 280*x + 18*x^2 + 122*x^3 + 34*x^4 + (20*x^2 - 2*x^4)*Log[x])/(100 - 140*x + 9*x^2 + 68*x^3 - 24*x^4 - 8*x^5 + 4*x^6 + (20*x^2 - 14*x^3 - 4*x^4 + 4*x^5)*Log[x] + x^4*Log[x]^2),x]","-\frac{2 x \left(x^2+7 x+10\right)}{2 x^3-2 x^2+x^2 \log (x)-7 x+10}","\frac{x+5}{-\frac{\frac{x^2 \log (x)}{x+2}+5}{2 x}-x+3}-3",1,"(-2*x*(10 + 7*x + x^2))/(10 - 7*x - 2*x^2 + 2*x^3 + x^2*Log[x])","A",1
5120,1,23,26,0.1944003,"\int \left(4+e^{64-16 e^{2 e^{4 x}-x}+2 e^{4 x}-x} \left(16-128 e^{4 x}\right)\right) \, dx","Integrate[4 + E^(64 - 16*E^(2*E^(4*x) - x) + 2*E^(4*x) - x)*(16 - 128*E^(4*x)),x]","4 x+e^{64-16 e^{2 e^{4 x}-x}}","4 x+e^{16 \left(4-e^{2 e^{4 x}-x}\right)}-4",1,"E^(64 - 16*E^(2*E^(4*x) - x)) + 4*x","A",1
5121,1,2,4,0.0001436,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log (5 x)",1,"Log[x]","A",1
5122,1,33,34,0.3132704,"\int \frac{-20 x-40 x^2+e^{\frac{e^x}{5}} \left(20+8 e^x x^2\right)+\left(-40 e^{\frac{e^x}{5}} x+40 x^2\right) \log \left(e^{\frac{e^x}{5}}-x\right)}{5 e^{\frac{e^x}{5}} x^3 \log (2)-5 x^4 \log (2)} \, dx","Integrate[(-20*x - 40*x^2 + E^(E^x/5)*(20 + 8*E^x*x^2) + (-40*E^(E^x/5)*x + 40*x^2)*Log[E^(E^x/5) - x])/(5*E^(E^x/5)*x^3*Log[2] - 5*x^4*Log[2]),x]","-\frac{\frac{10}{x^2}-\frac{40 \log \left(e^{\frac{e^x}{5}}-x\right)}{x}}{5 \log (2)}","\frac{8 \left(-x-\frac{1}{4 x}+\log \left(e^{\frac{e^x}{5}}-x\right)\right)}{x \log (2)}",1,"-1/5*(10/x^2 - (40*Log[E^(E^x/5) - x])/x)/Log[2]","A",1
5123,1,20,20,0.5304325,"\int \frac{e^{2+\frac{e^2}{\left(16 x+8 x^3+x^5\right) \log ^2(81)}} \left(-4-5 x^2\right)}{\left(64 x^2+48 x^4+12 x^6+x^8\right) \log ^2(81)} \, dx","Integrate[(E^(2 + E^2/((16*x + 8*x^3 + x^5)*Log[81]^2))*(-4 - 5*x^2))/((64*x^2 + 48*x^4 + 12*x^6 + x^8)*Log[81]^2),x]","e^{\frac{e^2}{x \left(x^2+4\right)^2 \log ^2(81)}}","e^{\frac{e^2}{x \left(x^2+4\right)^2 \log ^2(81)}}",1,"E^(E^2/(x*(4 + x^2)^2*Log[81]^2))","A",1
5124,1,16,22,0.42407,"\int \frac{3+3 x+\left(3 e^x x^2+3 e^x x \log (x)\right) \log (x+\log (x))}{\left(-16 x^2+3 e^x x^2+\left(-16 x+3 e^x x\right) \log (x)\right) \log (x+\log (x))+\left(3 x^2+3 x \log (x)\right) \log (x+\log (x)) \log (\log (x+\log (x)))} \, dx","Integrate[(3 + 3*x + (3*E^x*x^2 + 3*E^x*x*Log[x])*Log[x + Log[x]])/((-16*x^2 + 3*E^x*x^2 + (-16*x + 3*E^x*x)*Log[x])*Log[x + Log[x]] + (3*x^2 + 3*x*Log[x])*Log[x + Log[x]]*Log[Log[x + Log[x]]]),x]","\log \left(3 e^x+3 \log (\log (x+\log (x)))-16\right)","\log \left(\frac{1}{45} \left(-e^x-\log (\log (x+\log (x)))+\frac{16}{3}\right)\right)",1,"Log[-16 + 3*E^x + 3*Log[Log[x + Log[x]]]]","A",1
5125,1,20,26,0.1092118,"\int \frac{384+576 e^x+288 e^{2 x}+48 e^{3 x}+\left(8 x^2+4 e^x x^2\right) \log ^3(x)+\left(4 x^2+e^x \left(2 x^2-2 x^3\right)\right) \log ^4(x)}{8 x+12 e^x x+6 e^{2 x} x+e^{3 x} x} \, dx","Integrate[(384 + 576*E^x + 288*E^(2*x) + 48*E^(3*x) + (8*x^2 + 4*E^x*x^2)*Log[x]^3 + (4*x^2 + E^x*(2*x^2 - 2*x^3))*Log[x]^4)/(8*x + 12*E^x*x + 6*E^(2*x)*x + E^(3*x)*x),x]","\frac{x^2 \log ^4(x)}{\left(e^x+2\right)^2}+48 \log (x)","16 \log \left(\frac{x^3}{2}\right)+\frac{x^2 \log ^4(x)}{\left(e^x+2\right)^2}",1,"48*Log[x] + (x^2*Log[x]^4)/(2 + E^x)^2","A",1
5126,1,65,28,0.0736482,"\int \frac{-54 e^6 x^3+\left(-864 e^2+e^4 \left(-1296 x^2-540 x^3\right)\right) \log (x)+e^2 \left(864-10368 x-8640 x^2-1800 x^3\right) \log ^2(x)+\left(-24768-34560 x-14400 x^2-2000 x^3\right) \log ^3(x)}{27 e^6 x^3+e^4 \left(648 x^2+270 x^3\right) \log (x)+e^2 \left(5184 x+4320 x^2+900 x^3\right) \log ^2(x)+\left(13824+17280 x+7200 x^2+1000 x^3\right) \log ^3(x)} \, dx","Integrate[(-54*E^6*x^3 + (-864*E^2 + E^4*(-1296*x^2 - 540*x^3))*Log[x] + E^2*(864 - 10368*x - 8640*x^2 - 1800*x^3)*Log[x]^2 + (-24768 - 34560*x - 14400*x^2 - 2000*x^3)*Log[x]^3)/(27*E^6*x^3 + E^4*(648*x^2 + 270*x^3)*Log[x] + E^2*(5184*x + 4320*x^2 + 900*x^3)*Log[x]^2 + (13824 + 17280*x + 7200*x^2 + 1000*x^3)*Log[x]^3),x]","-\frac{2 \left(9 e^4 x^3+12 e^2 (5 x+12) x^2 \log (x)+4 \left(25 x^3+120 x^2+144 x+18\right) \log ^2(x)\right)}{\left(3 e^2 x+2 (5 x+12) \log (x)\right)^2}","-2 x-\frac{4}{\left(-\frac{5 x}{3}-\frac{e^2 x}{2 \log (x)}-4\right)^2}+1",1,"(-2*(9*E^4*x^3 + 12*E^2*x^2*(12 + 5*x)*Log[x] + 4*(18 + 144*x + 120*x^2 + 25*x^3)*Log[x]^2))/(3*E^2*x + 2*(12 + 5*x)*Log[x])^2","B",1
5127,1,34,25,1.1110597,"\int \frac{\exp \left(\frac{2 x^3+30 \log (x)+15 x \log ^2(x)}{10 \log (x)+5 x \log ^2(x)}\right) \left(-4 x^2+\left(12 x^2-4 x^3\right) \log (x)+4 x^3 \log ^2(x)\right)}{20 \log ^2(x)+20 x \log ^3(x)+5 x^2 \log ^4(x)} \, dx","Integrate[(E^((2*x^3 + 30*Log[x] + 15*x*Log[x]^2)/(10*Log[x] + 5*x*Log[x]^2))*(-4*x^2 + (12*x^2 - 4*x^3)*Log[x] + 4*x^3*Log[x]^2))/(20*Log[x]^2 + 20*x*Log[x]^3 + 5*x^2*Log[x]^4),x]","\exp \left(\frac{2 x^3+15 x \log ^2(x)+30 \log (x)}{5 x \log ^2(x)+10 \log (x)}\right)","e^{\frac{2 x^2}{5 \log (x) \left(\frac{2}{x}+\log (x)\right)}+3}",1,"E^((2*x^3 + 30*Log[x] + 15*x*Log[x]^2)/(10*Log[x] + 5*x*Log[x]^2))","A",1
5128,1,13,29,0.0210634,"\int e^{-x} (21-9 x-4 \log (3)) \, dx","Integrate[(21 - 9*x - 4*Log[3])/E^x,x]","e^{-x} (9 x-12+\log (81))","x \left(9 e^{-x}+\frac{4 e^{-x} (\log (3)-3)+\frac{9}{4}}{x}\right)",1,"(-12 + 9*x + Log[81])/E^x","A",1
5129,1,27,24,0.1687349,"\int \frac{x^2+\left(16 e^8+16 e^{2 e^5}-32 e^{4+e^5}\right) \log (x)+x^2 \log (x) \log (\log (x))}{x^2 \log (x)} \, dx","Integrate[(x^2 + (16*E^8 + 16*E^(2*E^5) - 32*E^(4 + E^5))*Log[x] + x^2*Log[x]*Log[Log[x]])/(x^2*Log[x]),x]","\frac{x^2 \log (\log (x))-16 \left(e^4-e^{e^5}\right)^2}{x}","x \left(\log (\log (x))-\frac{16 \left(e^{e^5}-e^4\right)^2}{x^2}\right)",1,"(-16*(E^4 - E^E^5)^2 + x^2*Log[Log[x]])/x","A",1
5130,1,21,21,0.3073134,"\int \frac{x+x^{\frac{3 e^{e^3+4 x^2}}{x}} \left(3 e^{e^3+4 x^2}+e^{e^3+4 x^2} \left(-3+24 x^2\right) \log (x)\right)}{x^2} \, dx","Integrate[(x + x^((3*E^(E^3 + 4*x^2))/x)*(3*E^(E^3 + 4*x^2) + E^(E^3 + 4*x^2)*(-3 + 24*x^2)*Log[x]))/x^2,x]","x^{\frac{3 e^{4 x^2+e^3}}{x}}+\log (x)","x^{\frac{3 e^{4 x^2+e^3}}{x}}+\log (x)",1,"x^((3*E^(E^3 + 4*x^2))/x) + Log[x]","A",1
5131,1,22,25,1.4386076,"\int \frac{-4-9 x+8 x^2+(-7+8 x) \log \left(2 x^2\right)+\left(-2 x-2 \log \left(2 x^2\right)\right) \log \left(x+\log \left(2 x^2\right)\right)}{49 x^3-56 x^4+16 x^5+\left(49 x^2-56 x^3+16 x^4\right) \log \left(2 x^2\right)+\left(28 x^3-16 x^4+\left(28 x^2-16 x^3\right) \log \left(2 x^2\right)\right) \log \left(x+\log \left(2 x^2\right)\right)+\left(4 x^3+4 x^2 \log \left(2 x^2\right)\right) \log ^2\left(x+\log \left(2 x^2\right)\right)} \, dx","Integrate[(-4 - 9*x + 8*x^2 + (-7 + 8*x)*Log[2*x^2] + (-2*x - 2*Log[2*x^2])*Log[x + Log[2*x^2]])/(49*x^3 - 56*x^4 + 16*x^5 + (49*x^2 - 56*x^3 + 16*x^4)*Log[2*x^2] + (28*x^3 - 16*x^4 + (28*x^2 - 16*x^3)*Log[2*x^2])*Log[x + Log[2*x^2]] + (4*x^3 + 4*x^2*Log[2*x^2])*Log[x + Log[2*x^2]]^2),x]","\frac{1}{x \left(2 \log \left(\log \left(2 x^2\right)+x\right)-4 x+7\right)}","\frac{1}{2 x \left(\log \left(\log \left(2 x^2\right)+x\right)-2 x+\frac{7}{2}\right)}",1,"1/(x*(7 - 4*x + 2*Log[x + Log[2*x^2]]))","A",1
5132,1,20,22,0.3602075,"\int -\frac{54 e^{\frac{54-3 e^4+18 e^x}{15-e^4+6 e^x}+x}}{225-30 e^4+e^8+36 e^{2 x}+e^x \left(180-12 e^4\right)} \, dx","Integrate[(-54*E^((54 - 3*E^4 + 18*E^x)/(15 - E^4 + 6*E^x) + x))/(225 - 30*E^4 + E^8 + 36*E^(2*x) + E^x*(180 - 12*E^4)),x]","e^{\frac{9}{6 e^x+15-e^4}+3}","e^{\frac{3}{2 e^x+5-\frac{e^4}{3}}+3}",1,"E^(3 + 9/(15 - E^4 + 6*E^x))","A",1
5133,1,31,28,0.2968383,"\int \frac{x^2+5 x^4+\left(-x^2-15 x^4\right) \log (x)+\left(-5-10 x^2\right) \log ^2(x)+5 \log ^3(x)}{16 x^4+160 x^6+400 x^8+\left(320 x^4+1600 x^6\right) \log (x)+\left(160 x^2+2400 x^4\right) \log ^2(x)+1600 x^2 \log ^3(x)+400 \log ^4(x)} \, dx","Integrate[(x^2 + 5*x^4 + (-x^2 - 15*x^4)*Log[x] + (-5 - 10*x^2)*Log[x]^2 + 5*Log[x]^3)/(16*x^4 + 160*x^6 + 400*x^8 + (320*x^4 + 1600*x^6)*Log[x] + (160*x^2 + 2400*x^4)*Log[x]^2 + 1600*x^2*Log[x]^3 + 400*Log[x]^4),x]","\frac{x \log (x)}{16 \left(5 x^4+x^2+10 x^2 \log (x)+5 \log ^2(x)\right)}","\frac{\log (x)}{4 x \left(5 \left(2 x+\frac{2 \log (x)}{x}\right)^2+4\right)}",1,"(x*Log[x])/(16*(x^2 + 5*x^4 + 10*x^2*Log[x] + 5*Log[x]^2))","A",1
5134,1,28,21,0.0445325,"\int \frac{e^{-2 x} \left(-544 x-e^{3 x} x+66 x^2-2 x^3+e^{2 x} (1+x)\right)}{x} \, dx","Integrate[(-544*x - E^(3*x)*x + 66*x^2 - 2*x^3 + E^(2*x)*(1 + x))/(E^(2*x)*x),x]","-2 e^{-2 x} \left(-\frac{x^2}{2}+16 x-128\right)+x-e^x+\log (x)","e^{-2 x} (x-16)^2-e^x+x+\log (x)+2",1,"-E^x + x - (2*(-128 + 16*x - x^2/2))/E^(2*x) + Log[x]","A",1
5135,1,15,21,0.0000689,"\int (405+405 (i \pi +\log (4))) \, dx","Integrate[405 + 405*(I*Pi + Log[4]),x]","405 x+405 x (\log (4)+i \pi )","81 x \left(\frac{x+4}{x}+4\right) (1+i \pi +\log (4))",1,"405*x + 405*x*(I*Pi + Log[4])","A",1
5136,1,37,35,0.1838238,"\int \frac{e^x \left(2 x-4 x^2\right)+e^{x+x^2} \left(x-2 x^2\right)+\left(e^x \left(4 x-2 x^2-2 x^3\right)+e^{x+x^2} \left(2 x-x^2-3 x^3+2 x^4\right)\right) \log \left(-x+x^2\right)+e^x \left(-9 x^2+4 x^4+4 x^5+x^6\right) \log ^2\left(-x+x^2\right)}{-4+e^{2 x^2} (-1+x)+4 x+e^{x^2} (-4+4 x)+\left(36 x-12 x^2-20 x^3-4 x^4+e^{x^2} \left(18 x-6 x^2-10 x^3-2 x^4\right)\right) \log \left(-x+x^2\right)+\left(-81 x^2-27 x^3+54 x^4+42 x^5+11 x^6+x^7\right) \log ^2\left(-x+x^2\right)} \, dx","Integrate[(E^x*(2*x - 4*x^2) + E^(x + x^2)*(x - 2*x^2) + (E^x*(4*x - 2*x^2 - 2*x^3) + E^(x + x^2)*(2*x - x^2 - 3*x^3 + 2*x^4))*Log[-x + x^2] + E^x*(-9*x^2 + 4*x^4 + 4*x^5 + x^6)*Log[-x + x^2]^2)/(-4 + E^(2*x^2)*(-1 + x) + 4*x + E^x^2*(-4 + 4*x) + (36*x - 12*x^2 - 20*x^3 - 4*x^4 + E^x^2*(18*x - 6*x^2 - 10*x^3 - 2*x^4))*Log[-x + x^2] + (-81*x^2 - 27*x^3 + 54*x^4 + 42*x^5 + 11*x^6 + x^7)*Log[-x + x^2]^2),x]","\frac{e^x x^2 \log ((x-1) x)}{-e^{x^2}+x (x+3)^2 \log ((x-1) x)-2}","\frac{e^x x}{(x+3)^2-\frac{e^{x^2}+2}{x \log \left(x^2-x\right)}}",1,"(E^x*x^2*Log[(-1 + x)*x])/(-2 - E^x^2 + x*(3 + x)^2*Log[(-1 + x)*x])","A",1
5137,1,151,28,0.1566349,"\int \frac{\left(12+2 x+22 x^2-8 x^3\right) \log \left(\frac{4 e^x x^2}{1+8 x+16 x^2}\right)+\left(-x-4 x^2\right) \log ^2\left(\frac{4 e^x x^2}{1+8 x+16 x^2}\right)}{x+4 x^2} \, dx","Integrate[((12 + 2*x + 22*x^2 - 8*x^3)*Log[(4*E^x*x^2)/(1 + 8*x + 16*x^2)] + (-x - 4*x^2)*Log[(4*E^x*x^2)/(1 + 8*x + 16*x^2)]^2)/(x + 4*x^2),x]","-3 x^2-x \log ^2\left(\frac{4 e^x x^2}{(4 x+1)^2}\right)+3 \log ^2\left(\frac{x^2}{(4 x+1)^2}\right)+6 x \log \left(\frac{4 e^x x^2}{(4 x+1)^2}\right)-12 \log (x) \left(\log \left(\frac{x^2}{(4 x+1)^2}\right)-\log \left(\frac{4 e^x x^2}{(4 x+1)^2}\right)+x\right)+12 \log \left(\frac{x^2}{(4 x+1)^2}\right) \log (4 x+1)-12 \log \left(\frac{4 e^x x^2}{(4 x+1)^2}\right) \log (4 x+1)+12 x \log (4 x+1)","(3-x) \log ^2\left(\frac{e^x}{\left(\frac{1}{4} \left(\frac{2}{x}+4\right)+1\right)^2}\right)",1,"-3*x^2 + 3*Log[x^2/(1 + 4*x)^2]^2 - 12*Log[x]*(x + Log[x^2/(1 + 4*x)^2] - Log[(4*E^x*x^2)/(1 + 4*x)^2]) + 6*x*Log[(4*E^x*x^2)/(1 + 4*x)^2] - x*Log[(4*E^x*x^2)/(1 + 4*x)^2]^2 + 12*x*Log[1 + 4*x] + 12*Log[x^2/(1 + 4*x)^2]*Log[1 + 4*x] - 12*Log[(4*E^x*x^2)/(1 + 4*x)^2]*Log[1 + 4*x]","B",1
5138,1,28,26,0.3774676,"\int \frac{-184-64 x-4 x^2+e^{625 e^{5-x}} \left(8+e^{5-x} \left(-5000 x-625 x^2\right)\right)}{64+16 x+x^2} \, dx","Integrate[(-184 - 64*x - 4*x^2 + E^(625*E^(5 - x))*(8 + E^(5 - x)*(-5000*x - 625*x^2)))/(64 + 16*x + x^2),x]","\frac{-4 x^2+\left(e^{625 e^{5-x}}-32\right) x-72}{x+8}","x \left(\frac{-x+e^{625 e^{5-x}}+1}{x+8}-3\right)",1,"(-72 + (-32 + E^(625*E^(5 - x)))*x - 4*x^2)/(8 + x)","A",1
5139,1,14,24,0.0014833,"\int \frac{-5+6 x}{6 x^2} \, dx","Integrate[(-5 + 6*x)/(6*x^2),x]","\frac{1}{6} \left(\frac{5}{x}+6 \log (x)\right)","\frac{1}{3} \left(\frac{4}{x}-25\right)-\frac{1}{2 x}+\log (x)+e^4",1,"(5/x + 6*Log[x])/6","A",1
5140,1,16,24,0.2537152,"\int \frac{-450-1350 x+e^x (-30+120 x)+\left(-450 x+30 e^x x\right) \log (x)}{225 x+e^{2 x} x-450 x^2+225 x^3+e^x \left(30 x-30 x^2\right)} \, dx","Integrate[(-450 - 1350*x + E^x*(-30 + 120*x) + (-450*x + 30*E^x*x)*Log[x])/(225*x + E^(2*x)*x - 450*x^2 + 225*x^3 + E^x*(30*x - 30*x^2)),x]","-\frac{30 (\log (x)+4)}{-15 x+e^x+15}","\frac{\log (x)+4}{\frac{1}{4} (2 x-2)-\frac{e^x}{30}}",1,"(-30*(4 + Log[x]))/(15 + E^x - 15*x)","A",1
5141,1,7,17,0.0001011,"\int \left(-2+3 x^2\right) \, dx","Integrate[-2 + 3*x^2,x]","x^3-2 x","2 \left(\frac{x^3}{2}-x+e+\frac{13}{2}\right)",1,"-2*x + x^3","A",1
5142,1,30,22,0.2640604,"\int \frac{-14-5 x+24 x^2+11 x^3+\left(-4-2 x+6 x^2+3 x^3\right) \log \left(\frac{e^2}{2+x}\right)}{-14 x-7 x^2+8 x^3+4 x^4+\left(-4 x-2 x^2+2 x^3+x^4\right) \log \left(\frac{e^2}{2+x}\right)} \, dx","Integrate[(-14 - 5*x + 24*x^2 + 11*x^3 + (-4 - 2*x + 6*x^2 + 3*x^3)*Log[E^2/(2 + x)])/(-14*x - 7*x^2 + 8*x^3 + 4*x^4 + (-4*x - 2*x^2 + 2*x^3 + x^4)*Log[E^2/(2 + x)]),x]","\log \left(-6 x^2+x^2 \left(-\log \left(\frac{1}{x+2}\right)\right)+2 \log \left(\frac{1}{x+2}\right)+11\right)+\log (x)","\log \left(\left(x^2-2\right) x \left(\log \left(\frac{e^2}{x+2}\right)+4\right)+x\right)",1,"Log[x] + Log[11 - 6*x^2 + 2*Log[(2 + x)^(-1)] - x^2*Log[(2 + x)^(-1)]]","A",1
5143,1,19,19,0.3328196,"\int \frac{1}{2} e^{2+e^{\frac{1}{2} \left(-60 x^2+15 x^3\right)}-x} \left(-2+e^{\frac{1}{2} \left(-60 x^2+15 x^3\right)} \left(-120 x+45 x^2\right)\right) \, dx","Integrate[(E^(2 + E^((-60*x^2 + 15*x^3)/2) - x)*(-2 + E^((-60*x^2 + 15*x^3)/2)*(-120*x + 45*x^2)))/2,x]","e^{e^{\frac{15}{2} (x-4) x^2}-x+2}","e^{e^{\frac{15}{2} (x-4) x^2}-x+2}",1,"E^(2 + E^((15*(-4 + x)*x^2)/2) - x)","A",1
5144,1,31,31,2.5236606,"\int \frac{e^{-e^{e+x}} \left(4 x \log (x)+e^{e^e} \left(-x+e^{e+x} x^2\right) \log ^2(x)+\left(-4 x^2+4 e^{e+x} x^3\right) \log ^2(x)+\left(-4 x-4 e^{e+x} x^2 \log (x)+e^{e^e} \left(-1-e^{e+x} x \log (x)\right)\right) \log \left(\frac{1}{4} \left(e^{e^e}+4 x\right)\right)\right)}{e^{e^e} x \log ^2(x)+4 x^2 \log ^2(x)} \, dx","Integrate[(4*x*Log[x] + E^E^E*(-x + E^(E + x)*x^2)*Log[x]^2 + (-4*x^2 + 4*E^(E + x)*x^3)*Log[x]^2 + (-4*x - 4*E^(E + x)*x^2*Log[x] + E^E^E*(-1 - E^(E + x)*x*Log[x]))*Log[(E^E^E + 4*x)/4])/(E^E^(E + x)*(E^E^E*x*Log[x]^2 + 4*x^2*Log[x]^2)),x]","e^{-e^{x+e}} \left(\frac{\log \left(x+\frac{e^{e^e}}{4}\right)}{\log (x)}-x\right)","e^{-e^{x+e}} \left(\frac{\log \left(x+\frac{e^{e^e}}{4}\right)}{\log (x)}-x\right)",1,"(-x + Log[E^E^E/4 + x]/Log[x])/E^E^(E + x)","A",1
5145,1,45,21,0.2060079,"\int \frac{4 x+e^{2 x} x+x^2+x \log ^2\left(4 e^3 x\right)+\left(5 x+x^2+e^x (10+2 x)+e^{2 x} \left(10 x+2 x^2\right)\right) \log (5+x)+\log \left(4 e^3 x\right) \left(2 e^x x+\left(10+2 x+e^x \left(10 x+2 x^2\right)\right) \log (5+x)\right)}{5 x+x^2} \, dx","Integrate[(4*x + E^(2*x)*x + x^2 + x*Log[4*E^3*x]^2 + (5*x + x^2 + E^x*(10 + 2*x) + E^(2*x)*(10*x + 2*x^2))*Log[5 + x] + Log[4*E^3*x]*(2*E^x*x + (10 + 2*x + E^x*(10*x + 2*x^2))*Log[5 + x]))/(5*x + x^2),x]","\left(e^{2 x}+x+\log ^2(x)+\left(2 e^x+6+\log (16)\right) \log (x)+e^x (6+\log (16))+13+\log ^2(4)+6 \log (4)\right) \log (x+5)","\left(x+\left(e^x+\log \left(4 e^3 x\right)\right)^2+4\right) \log (x+5)",1,"(13 + E^(2*x) + x + 6*Log[4] + Log[4]^2 + E^x*(6 + Log[16]) + (6 + 2*E^x + Log[16])*Log[x] + Log[x]^2)*Log[5 + x]","B",1
5146,1,12,16,0.0077882,"\int \frac{4 e^{-16+4 x}}{3+e^{-16+4 x}} \, dx","Integrate[(4*E^(-16 + 4*x))/(3 + E^(-16 + 4*x)),x]","\log \left(e^{4 x}+3 e^{16}\right)","\log \left(\left(e^{4 (x-4)}+3\right) (2+\log (\log (4)))\right)",1,"Log[3*E^16 + E^(4*x)]","A",1
5147,1,45,29,0.9078915,"\int \frac{-7 x^2+e^x \left(2+x+x^2\right)}{7 x^2+e^x \left(-2 x+3 x^2+e^3 x^2+x^3\right)+e^x x^2 \log (x)} \, dx","Integrate[(-7*x^2 + E^x*(2 + x + x^2))/(7*x^2 + E^x*(-2*x + 3*x^2 + E^3*x^2 + x^3) + E^x*x^2*Log[x]),x]","\log \left(e^x x^2+3 e^x x+e^{x+3} x+7 x-2 e^x+e^x x \log (x)\right)-x-\log (x)","\log \left(\frac{x+7 e^{-x}-\frac{x+2}{x}+\log (x)+4}{e}+e^2\right)",1,"-x - Log[x] + Log[-2*E^x + 7*x + 3*E^x*x + E^(3 + x)*x + E^x*x^2 + E^x*x*Log[x]]","A",1
5148,1,31,26,0.1374572,"\int \frac{e^{-25/x} \left(6 e^{25/x} x^2+e^{2 e^{-25/x}} \left(-2250-3000 x-1000 x^2\right)\right)}{45 x^2+60 x^3+20 x^4} \, dx","Integrate[(6*E^(25/x)*x^2 + E^(2/E^(25/x))*(-2250 - 3000*x - 1000*x^2))/(E^(25/x)*(45*x^2 + 60*x^3 + 20*x^4)),x]","-\frac{2}{5} \left(\frac{5}{2} e^{2 e^{-25/x}}+\frac{3}{2 (2 x+3)}\right)","\frac{2 x}{5 (2 x+3)}-e^{2 e^{-25/x}}",1,"(-2*((5*E^(2/E^(25/x)))/2 + 3/(2*(3 + 2*x))))/5","A",1
5149,1,25,25,0.3092641,"\int \frac{-1-64 e^{-1250+2 x}+\left(3 x+e^{-1250+2 x} (-32+32 x)\right) \log (x)-3 x^2 \log ^2(x)+x^3 \log ^3(x)}{-1+3 x \log (x)-3 x^2 \log ^2(x)+x^3 \log ^3(x)} \, dx","Integrate[(-1 - 64*E^(-1250 + 2*x) + (3*x + E^(-1250 + 2*x)*(-32 + 32*x))*Log[x] - 3*x^2*Log[x]^2 + x^3*Log[x]^3)/(-1 + 3*x*Log[x] - 3*x^2*Log[x]^2 + x^3*Log[x]^3),x]","\frac{e^{1250} x+\frac{16 e^{2 x}}{(x \log (x)-1)^2}}{e^{1250}}","\frac{16 e^{2 x-1250} x^2}{\left(x-x^2 \log (x)\right)^2}+x",1,"(E^1250*x + (16*E^(2*x))/(-1 + x*Log[x])^2)/E^1250","A",1
5150,1,31,24,0.0695214,"\int \left(3+\exp \left(4+4 e^{e^{e^x}}+e^{2 e^{e^x}}+e^{4+4 e^{e^{e^x}}+e^{2 e^{e^x}}+e^x}+e^x\right) \left(e^x+4 e^{e^{e^x}+e^x+x}+2 e^{2 e^{e^x}+e^x+x}\right)\right) \, dx","Integrate[3 + E^(4 + 4*E^E^E^x + E^(2*E^E^x) + E^(4 + 4*E^E^E^x + E^(2*E^E^x) + E^x) + E^x)*(E^x + 4*E^(E^E^x + E^x + x) + 2*E^(2*E^E^x + E^x + x)),x]","3 x+e^{e^{4 e^{e^{e^x}}+e^{2 e^{e^x}}+e^x+4}}","3 x+e^{e^{\left(e^{e^{e^x}}+2\right)^2+e^x}}-5",1,"E^E^(4 + 4*E^E^E^x + E^(2*E^E^x) + E^x) + 3*x","A",1
5151,1,66,19,0.0300447,"\int \frac{120 x+2 e x-8 x^2+(64+e-4 x) \log \left(4096+e^2+e (128-8 x)-512 x+16 x^2\right)}{768+12 e-48 x} \, dx","Integrate[(120*x + 2*E*x - 8*x^2 + (64 + E - 4*x)*Log[4096 + E^2 + E*(128 - 8*x) - 512*x + 16*x^2])/(768 + 12*E - 48*x),x]","\frac{1}{12} \left(\frac{1}{16} (-4 x+e+64)^2-\frac{1}{8} (68+e) (-4 x+e+64)-2 x-\frac{1}{4} (-4 x+e+64) \log \left((-4 x+e+64)^2\right)+\frac{1}{2} (64+e) \log (-4 x+e+64)\right)","\frac{1}{12} x \left(x+\log \left((e-4 (x-16))^2\right)\right)+3",1,"(-1/8*((68 + E)*(64 + E - 4*x)) + (64 + E - 4*x)^2/16 - 2*x + ((64 + E)*Log[64 + E - 4*x])/2 - ((64 + E - 4*x)*Log[(64 + E - 4*x)^2])/4)/12","B",1
5152,1,31,32,0.120159,"\int \frac{21-8 x-11 x^2-2 x^3+\left(-32-46 x-16 x^2-2 x^3\right) \log \left(-\frac{\log (2)}{32+14 x+2 x^2}\right)}{288-258 x-214 x^2+76 x^3+84 x^4+22 x^5+2 x^6} \, dx","Integrate[(21 - 8*x - 11*x^2 - 2*x^3 + (-32 - 46*x - 16*x^2 - 2*x^3)*Log[-(Log[2]/(32 + 14*x + 2*x^2))])/(288 - 258*x - 214*x^2 + 76*x^3 + 84*x^4 + 22*x^5 + 2*x^6),x]","\frac{\log \left(-\frac{\log (2)}{2 \left(x^2+7 x+16\right)}\right)}{2 \left(x^2+2 x-3\right)}","\frac{\log \left(\frac{\log (2)}{2 \left(x-(x+4)^2\right)}\right)}{2 \left(x^2+2 x-3\right)}",1,"Log[-1/2*Log[2]/(16 + 7*x + x^2)]/(2*(-3 + 2*x + x^2))","A",1
5153,1,16,16,0.0000882,"\int e^{-\frac{1}{e^{7/18}}} \left(-21+21 e^{\frac{1}{e^{7/18}}}\right) \, dx","Integrate[(-21 + 21*E^E^(-7/18))/E^E^(-7/18),x]","21 x-21 e^{-\frac{1}{e^{7/18}}} x","21 \left(x-e^{-\frac{1}{e^{7/18}}} x\right)",1,"21*x - (21*x)/E^E^(-7/18)","A",1
5154,1,23,26,0.2805041,"\int \frac{15-5 e^x-5 e^x x \log (x) \log (\log (x))+\left(27 x-27 e^x x+9 e^{2 x} x-e^{3 x} x\right) \log (x) \log ^2(\log (x))}{\left(9 x-6 e^x x+e^{2 x} x\right) \log (x) \log ^2(\log (x))} \, dx","Integrate[(15 - 5*E^x - 5*E^x*x*Log[x]*Log[Log[x]] + (27*x - 27*E^x*x + 9*E^(2*x)*x - E^(3*x)*x)*Log[x]*Log[Log[x]]^2)/((9*x - 6*E^x*x + E^(2*x)*x)*Log[x]*Log[Log[x]]^2),x]","3 x-e^x+\frac{5}{\left(e^x-3\right) \log (\log (x))}","3 (x-1)-e^x+\frac{5}{\left(e^x-3\right) \log (\log (x))}+4",1,"-E^x + 3*x + 5/((-3 + E^x)*Log[Log[x]])","A",1
5155,0,0,30,21.2151296,"\int \frac{162 e^x+e^{4 x^2} \left(8 e^{5 x}-32 e^{4 x} x+48 e^{3 x} x^2-32 e^{2 x} x^3+8 e^x x^4\right)+e^{2 x^2} \left(72 e^{3 x}+e^{2 x} (27-90 x)+27 x+54 x^3+e^x \left(-27-27 x-36 x^2\right)\right)}{162+e^{2 x^2} \left(72 e^{2 x}-144 e^x x+72 x^2\right)+e^{4 x^2} \left(8 e^{4 x}-32 e^{3 x} x+48 e^{2 x} x^2-32 e^x x^3+8 x^4\right)} \, dx","Integrate[(162*E^x + E^(4*x^2)*(8*E^(5*x) - 32*E^(4*x)*x + 48*E^(3*x)*x^2 - 32*E^(2*x)*x^3 + 8*E^x*x^4) + E^(2*x^2)*(72*E^(3*x) + E^(2*x)*(27 - 90*x) + 27*x + 54*x^3 + E^x*(-27 - 27*x - 36*x^2)))/(162 + E^(2*x^2)*(72*E^(2*x) - 144*E^x*x + 72*x^2) + E^(4*x^2)*(8*E^(4*x) - 32*E^(3*x)*x + 48*E^(2*x)*x^2 - 32*E^x*x^3 + 8*x^4)),x]","\int \frac{162 e^x+e^{4 x^2} \left(8 e^{5 x}-32 e^{4 x} x+48 e^{3 x} x^2-32 e^{2 x} x^3+8 e^x x^4\right)+e^{2 x^2} \left(72 e^{3 x}+e^{2 x} (27-90 x)+27 x+54 x^3+e^x \left(-27-27 x-36 x^2\right)\right)}{162+e^{2 x^2} \left(72 e^{2 x}-144 e^x x+72 x^2\right)+e^{4 x^2} \left(8 e^{4 x}-32 e^{3 x} x+48 e^{2 x} x^2-32 e^x x^3+8 x^4\right)} \, dx","\frac{3}{-\frac{16}{9} e^{2 x^2} \left(e^x-x\right)^2-8}+e^x",1,"Integrate[(162*E^x + E^(4*x^2)*(8*E^(5*x) - 32*E^(4*x)*x + 48*E^(3*x)*x^2 - 32*E^(2*x)*x^3 + 8*E^x*x^4) + E^(2*x^2)*(72*E^(3*x) + E^(2*x)*(27 - 90*x) + 27*x + 54*x^3 + E^x*(-27 - 27*x - 36*x^2)))/(162 + E^(2*x^2)*(72*E^(2*x) - 144*E^x*x + 72*x^2) + E^(4*x^2)*(8*E^(4*x) - 32*E^(3*x)*x + 48*E^(2*x)*x^2 - 32*E^x*x^3 + 8*x^4)), x]","F",-1
5156,1,56,25,0.1624261,"\int \frac{-20 x^2+12 x^3-2 x^4+e^{\frac{-6+x^2}{x}} \left(-162+162 x-81 x^2+33 x^3-9 x^4+x^5\right)+\left(-18 x^2-48 x^3+54 x^4-18 x^5+2 x^6\right) \log (2 x)+\left(-54 x^3+54 x^4-18 x^5+2 x^6\right) \log ^2(2 x)}{-27 x^2+27 x^3-9 x^4+x^5} \, dx","Integrate[(-20*x^2 + 12*x^3 - 2*x^4 + E^((-6 + x^2)/x)*(-162 + 162*x - 81*x^2 + 33*x^3 - 9*x^4 + x^5) + (-18*x^2 - 48*x^3 + 54*x^4 - 18*x^5 + 2*x^6)*Log[2*x] + (-54*x^3 + 54*x^4 - 18*x^5 + 2*x^6)*Log[2*x]^2)/(-27*x^2 + 27*x^3 - 9*x^4 + x^5),x]","x^2 \log ^2(2 x)+e^{x-\frac{6}{x}}+\frac{1}{(x-3)^2}+\frac{6 \log (2 x)}{3-x}+2 \log (3-x)-2 \log (x-3)-2 \log (x)","e^{x-\frac{6}{x}}+\left(\frac{1}{x-3}-x \log (2 x)\right)^2",1,"E^(-6/x + x) + (-3 + x)^(-2) + 2*Log[3 - x] - 2*Log[-3 + x] - 2*Log[x] + (6*Log[2*x])/(3 - x) + x^2*Log[2*x]^2","B",1
5157,1,33,17,0.6144288,"\int \exp \left(2-4 e-8 x+4 x^2+(-8+8 x) \log (4)+4 \log ^2(4)\right) (-8+8 x+8 \log (4)) \, dx","Integrate[E^(2 - 4*E - 8*x + 4*x^2 + (-8 + 8*x)*Log[4] + 4*Log[4]^2)*(-8 + 8*x + 8*Log[4]),x]","65536^{x-1} e^{4 x^2-8 x-4 e+2+8 \log ^2(4)-16 \log ^2(2)}","e^{(2-2 (x+\log (4)))^2-4 e-2}",1,"65536^(-1 + x)*E^(2 - 4*E - 8*x + 4*x^2 - 16*Log[2]^2 + 8*Log[4]^2)","A",0
5158,1,24,25,0.1501803,"\int \frac{e^5 (-1-2 x)+\left(-6-24 x-24 x^2\right) \log (5 x)-e^5 \log (5 x) \log (\log (5 x))}{\left(6+24 x+24 x^2\right) \log (5 x)} \, dx","Integrate[(E^5*(-1 - 2*x) + (-6 - 24*x - 24*x^2)*Log[5*x] - E^5*Log[5*x]*Log[Log[5*x]])/((6 + 24*x + 24*x^2)*Log[5*x]),x]","-\frac{x \left(12 x+e^5 \log (\log (5 x))+6\right)}{12 x+6}","-x-\frac{e^5 \log (\log (5 x))}{3 \left(\frac{2}{x}+4\right)}",1,"-((x*(6 + 12*x + E^5*Log[Log[5*x]]))/(6 + 12*x))","A",1
5159,1,16,17,0.2285826,"\int e^{100 x-240 x^2-20 e^x x^2} \left(1600-7680 x+e^x \left(-640 x-320 x^2\right)\right) \, dx","Integrate[E^(100*x - 240*x^2 - 20*E^x*x^2)*(1600 - 7680*x + E^x*(-640*x - 320*x^2)),x]","16 e^{-20 x \left(\left(e^x+12\right) x-5\right)}","16 e^{20 x \left(5-\left(e^x+12\right) x\right)}",1,"16/E^(20*x*(-5 + (12 + E^x)*x))","A",1
5160,1,7,21,0.0299692,"\int x^{-11+2 x} (-10+2 x+2 x \log (x)) \, dx","Integrate[x^(-11 + 2*x)*(-10 + 2*x + 2*x*Log[x]),x]","x^{2 x-10}","x^{2 (x-5)}+i \pi +\log \left(e^6-\frac{5}{2}\right)",1,"x^(-10 + 2*x)","A",1
5161,1,19,22,0.3226317,"\int \frac{150-24 x-12 x \log (x)}{e^{10} x-4 e^5 x^2+4 x^3+\left(-100 x^2+8 x^3+e^5 \left(50 x-4 x^2\right)\right) \log (x)+\left(625 x-100 x^2+4 x^3\right) \log ^2(x)} \, dx","Integrate[(150 - 24*x - 12*x*Log[x])/(E^10*x - 4*E^5*x^2 + 4*x^3 + (-100*x^2 + 8*x^3 + E^5*(50*x - 4*x^2))*Log[x] + (625*x - 100*x^2 + 4*x^3)*Log[x]^2),x]","-\frac{6}{-2 x+(25-2 x) \log (x)+e^5}","\frac{6}{2 x-(25-2 x) \log (x)-e^5}",1,"-6/(E^5 - 2*x + (25 - 2*x)*Log[x])","A",1
5162,1,13,22,0.0027884,"\int \frac{4}{\left(9+12 x+4 x^2\right) \log (5)} \, dx","Integrate[4/((9 + 12*x + 4*x^2)*Log[5]),x]","-\frac{2}{(2 x+3) \log (5)}","\log \left(4+e^{e^4}\right)-\frac{2}{(2 x+3) \log (5)}",1,"-2/((3 + 2*x)*Log[5])","A",1
5163,1,57,27,0.0478544,"\int \frac{28800 x+97200 x^2+119700 x^3+63900 x^4+13500 x^5+900 x^6+\left(960+1200 x+360 x^2+120 x^3\right) \log ^2(2)-32 \log ^4(2)}{225+675 x+675 x^2+225 x^3} \, dx","Integrate[(28800*x + 97200*x^2 + 119700*x^3 + 63900*x^4 + 13500*x^5 + 900*x^6 + (960 + 1200*x + 360*x^2 + 120*x^3)*Log[2]^2 - 32*Log[2]^4)/(225 + 675*x + 675*x^2 + 225*x^3),x]","\frac{4}{225} \left(\frac{225 x^4}{4}+900 x^3+3600 x^2+\frac{4 \log ^4(2)}{(x+1)^2}+30 x \log ^2(2)+\frac{30 (x-6) \log ^2(2)}{x+1}-\frac{11025}{4}\right)","\left(x^2+4 \left(2 x+\frac{\log ^2(2)}{5 (3 x+3)}\right)\right)^2",1,"(4*(-11025/4 + 3600*x^2 + 900*x^3 + (225*x^4)/4 + 30*x*Log[2]^2 + (30*(-6 + x)*Log[2]^2)/(1 + x) + (4*Log[2]^4)/(1 + x)^2))/225","B",1
5164,1,18,22,0.0304001,"\int \frac{6561+e^{4-24 x+\frac{x^2}{13122}} \left(6561-157464 x+x^2\right)}{6561} \, dx","Integrate[(6561 + E^(4 - 24*x + x^2/13122)*(6561 - 157464*x + x^2))/6561,x]","\left(e^{\frac{x^2}{13122}-24 x+4}+1\right) x","e^{\frac{x^2}{13122}+4 (1-6 x)} x+x+5",1,"(1 + E^(4 - 24*x + x^2/13122))*x","A",1
5165,1,20,19,0.0083905,"\int \frac{-17+12 x+12 x^2}{3+12 x+12 x^2} \, dx","Integrate[(-17 + 12*x + 12*x^2)/(3 + 12*x + 12*x^2),x]","\frac{1}{3} \left(3 x+\frac{10}{2 x+1}+\frac{3}{2}\right)","-\frac{20 x}{3 (2 x+1)}+x-e^5",1,"(3/2 + 3*x + 10/(1 + 2*x))/3","A",1
5166,1,18,18,0.1088853,"\int \frac{-640+256 x-32 x^2+\left(320-144 x+16 x^2\right) \log \left(\frac{-5 x+x^2}{-4+x}\right)}{\left(79380-35721 x+3969 x^2\right) \log ^3\left(\frac{-5 x+x^2}{-4+x}\right)} \, dx","Integrate[(-640 + 256*x - 32*x^2 + (320 - 144*x + 16*x^2)*Log[(-5*x + x^2)/(-4 + x)])/((79380 - 35721*x + 3969*x^2)*Log[(-5*x + x^2)/(-4 + x)]^3),x]","\frac{16 x}{3969 \log ^2\left(\frac{(x-5) x}{x-4}\right)}","\frac{16 x}{3969 \log ^2\left(x-\frac{x}{x-4}\right)}",1,"(16*x)/(3969*Log[((-5 + x)*x)/(-4 + x)]^2)","A",1
5167,1,24,26,0.3070611,"\int \frac{1}{3} e^{-x-e^{-x} \left(75 x-15 x^2+2 e^x x^2\right)} \left(-75 x+105 x^2-15 x^3+e^x \left(1-4 x^2\right)\right) \, dx","Integrate[(E^(-x - (75*x - 15*x^2 + 2*E^x*x^2)/E^x)*(-75*x + 105*x^2 - 15*x^3 + E^x*(1 - 4*x^2)))/3,x]","\frac{1}{3} e^{15 e^{-x} (x-5) x-2 x^2} x","\frac{1}{3} e^{-2 x^2-15 e^{-x} (5-x) x} x",1,"(E^((15*(-5 + x)*x)/E^x - 2*x^2)*x)/3","A",1
5168,1,47,31,0.1355111,"\int \frac{\exp \left(-\frac{-18-9 x-8 x^2-6 x^3-2 x^4-x^5}{9+6 x^2+x^4}\right) \left(162 x+63 x^3+24 x^4+51 x^5-8 x^6-3 x^7-x^9+\exp \left(\frac{-18-9 x-8 x^2-6 x^3-2 x^4-x^5}{9+6 x^2+x^4}\right) \left(-81+54 x-81 x^2+54 x^3-27 x^4+18 x^5-3 x^6+2 x^7\right)\right)}{27+27 x^2+9 x^4+x^6} \, dx","Integrate[(162*x + 63*x^3 + 24*x^4 + 51*x^5 - 8*x^6 - 3*x^7 - x^9 + E^((-18 - 9*x - 8*x^2 - 6*x^3 - 2*x^4 - x^5)/(9 + 6*x^2 + x^4))*(-81 + 54*x - 81*x^2 + 54*x^3 - 27*x^4 + 18*x^5 - 3*x^6 + 2*x^7))/(E^((-18 - 9*x - 8*x^2 - 6*x^3 - 2*x^4 - x^5)/(9 + 6*x^2 + x^4))*(27 + 27*x^2 + 9*x^4 + x^6)),x]","x^2+e^{-\frac{4}{x^2+3}+\frac{12}{\left(x^2+3\right)^2}+x} \left(3 e^2 x^2-e^2 x^3\right)-3 x","(3-x) \left(e^{-\frac{4 x^2}{\left(x^2+3\right)^2}+x+2} x^2-x\right)",1,"-3*x + x^2 + E^(x + 12/(3 + x^2)^2 - 4/(3 + x^2))*(3*E^2*x^2 - E^2*x^3)","A",1
5169,1,24,27,2.4778955,"\int e^{\frac{1}{5} \left(-5 x-80 x^2-x \log ^2\left(\frac{5}{x}\right)\right)} \left(-5+e^{\frac{1}{5} \left(5 x+80 x^2+x \log ^2\left(\frac{5}{x}\right)\right)}-160 x+2 \log \left(\frac{5}{x}\right)-\log ^2\left(\frac{5}{x}\right)\right) \, dx","Integrate[E^((-5*x - 80*x^2 - x*Log[5/x]^2)/5)*(-5 + E^((5*x + 80*x^2 + x*Log[5/x]^2)/5) - 160*x + 2*Log[5/x] - Log[5/x]^2),x]","x+5 e^{-\frac{1}{5} x \left(80 x+\log ^2\left(\frac{5}{x}\right)+5\right)}","x+5 e^{-x \left(16 x+\frac{1}{5} \log ^2\left(\frac{5}{x}\right)+1\right)}+1",1,"5/E^((x*(5 + 80*x + Log[5/x]^2))/5) + x","A",1
5170,1,33,29,0.0086751,"\int \frac{-1176+172 x-172 x^3+24 x^4+e^5 \left(43 x^3-6 x^4\right)}{5 x^3} \, dx","Integrate[(-1176 + 172*x - 172*x^3 + 24*x^4 + E^5*(43*x^3 - 6*x^4))/(5*x^3),x]","\frac{1}{5} \left(-3 \left(e^5-4\right) x^2+\frac{588}{x^2}+43 \left(e^5-4\right) x-\frac{172}{x}\right)","\frac{1}{5} \left(\frac{4}{x^2}-e^5+4\right) \left(3 (7-x)^2-x\right)",1,"(588/x^2 - 172/x + 43*(-4 + E^5)*x - 3*(-4 + E^5)*x^2)/5","A",1
5171,1,40,23,0.189622,"\int \frac{24 x^2+72 x^3+72 x^4+48 x^5+e^{\frac{2 e^2}{3 x}} \left(6 x^2+18 x^3+18 x^4+12 x^5+e^2 \left(-2-4 x-6 x^2-4 x^3-2 x^4\right)\right)}{3 x^2} \, dx","Integrate[(24*x^2 + 72*x^3 + 72*x^4 + 48*x^5 + E^((2*E^2)/(3*x))*(6*x^2 + 18*x^3 + 18*x^4 + 12*x^5 + E^2*(-2 - 4*x - 6*x^2 - 4*x^3 - 2*x^4)))/(3*x^2),x]","4 x^4+8 x^3+12 x^2+e^{\frac{2 e^2}{3 x}} \left(x^2+x+1\right)^2+8 x","\left(e^{\frac{2 e^2}{3 x}}+4\right) \left(x^2+x+1\right)^2",1,"8*x + 12*x^2 + 8*x^3 + 4*x^4 + E^((2*E^2)/(3*x))*(1 + x + x^2)^2","A",1
5172,1,30,20,0.0135857,"\int \left(-6+6 e^{2 x/3}+2 x-2 e^{x/3} x\right) \, dx","Integrate[-6 + 6*E^((2*x)/3) + 2*x - 2*E^(x/3)*x,x]","x^2-6 x+9 e^{2 x/3}-2 e^{x/3} (3 x-9)","\left(x-3 \left(e^{x/3}+1\right)\right)^2+e^5-4",1,"9*E^((2*x)/3) - 6*x + x^2 - 2*E^(x/3)*(-9 + 3*x)","A",1
5173,1,11,15,0.00907,"\int \frac{-4+2 x+\left(-x+x^2\right) \log (x)}{\left(-2 x+x^2\right) \log (x)} \, dx","Integrate[(-4 + 2*x + (-x + x^2)*Log[x])/((-2*x + x^2)*Log[x]),x]","x+\log (x-2)+2 \log (\log (x))","\log \left(4 e^x (4-2 x) \log ^2(x)\right)",1,"x + Log[-2 + x] + 2*Log[Log[x]]","A",1
5174,1,28,22,0.0236518,"\int \frac{27 e^{81 e^2+81 x} x+e^{1+\log ^2(x)} x^2 (2+2 \log (x))}{x} \, dx","Integrate[(27*E^(81*E^2 + 81*x)*x + E^(1 + Log[x]^2)*x^2*(2 + 2*Log[x]))/x,x]","x^2 e^{\log ^2(x)+1}+\frac{1}{3} e^{81 x+81 e^2}","\frac{1}{3} e^{81 \left(x+e^2\right)}+e^{(\log (x)+1)^2}",1,"E^(81*E^2 + 81*x)/3 + E^(1 + Log[x]^2)*x^2","A",1
5175,1,16,17,0.0058289,"\int \frac{-4 e^{4/x}+14 x^2+e^e x^2}{x^2} \, dx","Integrate[(-4*E^(4/x) + 14*x^2 + E^E*x^2)/x^2,x]","e^e x+14 x+e^{4/x}","e^e x+14 x+e^{4/x}-4",1,"E^(4/x) + 14*x + E^E*x","A",1
5176,1,34,24,0.0313114,"\int \left(1+2 x-3 x^2+3 e^{x^3} x^2+e^x \left(-1+x+x^2-\log (25)\right)+\log (25)\right) \, dx","Integrate[1 + 2*x - 3*x^2 + 3*E^x^3*x^2 + E^x*(-1 + x + x^2 - Log[25]) + Log[25],x]","-x^3+e^{x^3}+x^2+e^x \left(x^2-x-\log (25)\right)+x+x \log (25)","e^{x^3}+\left(x-e^x\right) \left(-x^2+x+\log (25)\right)+x",1,"E^x^3 + x + x^2 - x^3 + E^x*(-x + x^2 - Log[25]) + x*Log[25]","A",1
5177,1,23,27,0.0554521,"\int \frac{e^{-e^{e^3+x}-2 x+x^2 \log (x)} \left(-1-2 x-e^{e^3+x} x+x^2+2 x^2 \log (x)\right)}{x^2} \, dx","Integrate[(E^(-E^(E^3 + x) - 2*x + x^2*Log[x])*(-1 - 2*x - E^(E^3 + x)*x + x^2 + 2*x^2*Log[x]))/x^2,x]","e^{-2 x-e^{x+e^3}} x^{x^2-1}","\frac{e^{x (x \log (x)-2)-e^{x+e^3}}}{x}+\log (5)",1,"E^(-E^(E^3 + x) - 2*x)*x^(-1 + x^2)","A",1
5178,1,37,29,0.0030724,"\int \frac{63-3 e^9-66 x+9 x^2-3 \log ^2(16)}{e^9+\log ^2(16)} \, dx","Integrate[(63 - 3*E^9 - 66*x + 9*x^2 - 3*Log[16]^2)/(E^9 + Log[16]^2),x]","-\frac{3 \left(-x^3+11 x^2+e^9 x-21 x+x \log ^2(16)\right)}{e^9+\log ^2(16)}","3 \left(-x+\frac{\left((x-5)^2-x-4\right) x}{e^9+\log ^2(16)}+5\right)",1,"(-3*(-21*x + E^9*x + 11*x^2 - x^3 + x*Log[16]^2))/(E^9 + Log[16]^2)","A",1
5179,1,35,30,0.2058721,"\int \frac{-2 x^3+e^{10} \left(-3+x^2\right)+e^5 \left(-6 x+2 x^3\right)+e^{2 e^3-2 x} \left(-2 x+e^5 \left(6-2 x^2\right)\right)+e^{e^3-x} \left(-4 x^2+e^5 \left(-6+6 x+2 x^2-2 x^3\right)\right)+\left(-6 x+2 x^3+e^{2 e^3-2 x} \left(6-2 x^2\right)+e^5 \left(-6+2 x^2\right)+e^{e^3-x} \left(-6+6 x+2 x^2-2 x^3\right)\right) \log \left(3-x^2\right)+\left(-3+x^2\right) \log ^2\left(3-x^2\right)}{e^{10} \left(-3+x^2\right)+e^5 \left(-6+2 x^2\right) \log \left(3-x^2\right)+\left(-3+x^2\right) \log ^2\left(3-x^2\right)} \, dx","Integrate[(-2*x^3 + E^10*(-3 + x^2) + E^5*(-6*x + 2*x^3) + E^(2*E^3 - 2*x)*(-2*x + E^5*(6 - 2*x^2)) + E^(E^3 - x)*(-4*x^2 + E^5*(-6 + 6*x + 2*x^2 - 2*x^3)) + (-6*x + 2*x^3 + E^(2*E^3 - 2*x)*(6 - 2*x^2) + E^5*(-6 + 2*x^2) + E^(E^3 - x)*(-6 + 6*x + 2*x^2 - 2*x^3))*Log[3 - x^2] + (-3 + x^2)*Log[3 - x^2]^2)/(E^10*(-3 + x^2) + E^5*(-6 + 2*x^2)*Log[3 - x^2] + (-3 + x^2)*Log[3 - x^2]^2),x]","\frac{e^{-2 x} \left(e^x x+e^{e^3}\right)^2}{\log \left(3-x^2\right)+e^5}+x","\frac{\left(x+e^{e^3-x}\right)^2}{\log \left(3-x^2\right)+e^5}+x",1,"x + (E^E^3 + E^x*x)^2/(E^(2*x)*(E^5 + Log[3 - x^2]))","A",1
5180,1,16,16,0.0122919,"\int \frac{1-50 x^2+e^{2 x} \left(25 x+50 x^2\right)}{x} \, dx","Integrate[(1 - 50*x^2 + E^(2*x)*(25*x + 50*x^2))/x,x]","-25 x^2+25 e^{2 x} x+\log (x)","-25 x \left(x-e^{2 x}\right)+\log (x)+1",1,"25*E^(2*x)*x - 25*x^2 + Log[x]","A",1
5181,1,27,27,0.0444814,"\int \frac{-e^{12+x} x+e^3 \left(-3-8 x^2\right)}{100 x+4 e^{18+2 x} x+160 x^3+64 x^5+e^{9+x} \left(40 x+32 x^3\right)+\left(40 x+8 e^{9+x} x+32 x^3\right) \log \left(2 x^3\right)+4 x \log ^2\left(2 x^3\right)} \, dx","Integrate[(-(E^(12 + x)*x) + E^3*(-3 - 8*x^2))/(100*x + 4*E^(18 + 2*x)*x + 160*x^3 + 64*x^5 + E^(9 + x)*(40*x + 32*x^3) + (40*x + 8*E^(9 + x)*x + 32*x^3)*Log[2*x^3] + 4*x*Log[2*x^3]^2),x]","\frac{e^3}{4 \left(\log \left(2 x^3\right)+4 x^2+e^{x+9}+5\right)}","\frac{e^3}{4 \left(\log \left(2 x^3\right)+4 x^2+e^{x+9}+5\right)}",1,"E^3/(4*(5 + E^(9 + x) + 4*x^2 + Log[2*x^3]))","A",1
5182,1,36,21,0.0073839,"\int \frac{(-8-6 x) \log ^2(5) \log (2 x-x \log (3))-3 x \log ^2(5) \log ^2(2 x-x \log (3))}{x} \, dx","Integrate[((-8 - 6*x)*Log[5]^2*Log[2*x - x*Log[3]] - 3*x*Log[5]^2*Log[2*x - x*Log[3]]^2)/x,x]","-3 x \log ^2(5) \log ^2(x (2-\log (3)))-4 \log ^2(5) \log ^2(x (2-\log (3)))","(-3 x-4) \log ^2(5) \log ^2(x (2-\log (3)))",1,"-4*Log[5]^2*Log[x*(2 - Log[3])]^2 - 3*x*Log[5]^2*Log[x*(2 - Log[3])]^2","A",1
5183,1,39,24,0.2337833,"\int \frac{e^{-8/x} \left(e^{4/x} \left(-2560 x-1280 x^2-160 x^3\right) \log (x)+e^{4/x} \left(-5120-2560 x+80 x^3\right) \log ^2(x)+\left(64 x+16 x^2\right) \log ^3(x)+\left(128+32 x-8 x^2\right) \log ^4(x)\right)}{1600 x^2+1200 x^3+300 x^4+25 x^5} \, dx","Integrate[(E^(4/x)*(-2560*x - 1280*x^2 - 160*x^3)*Log[x] + E^(4/x)*(-5120 - 2560*x + 80*x^3)*Log[x]^2 + (64*x + 16*x^2)*Log[x]^3 + (128 + 32*x - 8*x^2)*Log[x]^4)/(E^(8/x)*(1600*x^2 + 1200*x^3 + 300*x^4 + 25*x^5)),x]","-\frac{4 e^{-8/x} \left(20 e^{4/x} (x+4) \log ^2(x)-\log ^4(x)\right)}{25 (x+4)^2}","\left(4-\frac{2 e^{-4/x} \log ^2(x)}{5 (x+4)}\right)^2",1,"(-4*(20*E^(4/x)*(4 + x)*Log[x]^2 - Log[x]^4))/(25*E^(8/x)*(4 + x)^2)","A",1
5184,1,44,32,0.0390931,"\int \frac{-3 e^{\frac{x}{5 \log (2)}} x^3+\left(-150-15 x-180 x^3+90 x^4+495 x^5+420 x^6+75 x^7\right) \log (2)}{5 x^3 \log (2)} \, dx","Integrate[(-3*E^(x/(5*Log[2]))*x^3 + (-150 - 15*x - 180*x^3 + 90*x^4 + 495*x^5 + 420*x^6 + 75*x^7)*Log[2])/(5*x^3*Log[2]),x]","3 x^5+21 x^4+33 x^3+9 x^2+\frac{15}{x^2}-36 x+\frac{3}{x}-3 e^{\frac{x}{\log (32)}}","3 \left((x+5) \left(x^2+x-\frac{1}{x}\right)^2-e^{\frac{x}{5 \log (2)}}\right)",1,"-3*E^(x/Log[32]) + 15/x^2 + 3/x - 36*x + 9*x^2 + 33*x^3 + 21*x^4 + 3*x^5","A",1
5185,1,20,28,0.0036722,"\int \frac{-9-10 x^4+4 x^5+2 x^4 \log (2 x)}{2 x^4} \, dx","Integrate[(-9 - 10*x^4 + 4*x^5 + 2*x^4*Log[2*x])/(2*x^4),x]","\frac{3}{2 x^3}+x^2-6 x+x \log (2 x)","\frac{3}{2 x^3}+\frac{x^2 (x+\log (2 x)-5)+x}{x}-x",1,"3/(2*x^3) - 6*x + x^2 + x*Log[2*x]","A",1
5186,1,53,33,0.3185067,"\int \frac{25-25 x^2-25 \log (-3 x)+\log \left(\frac{1}{4} \left(4+e^5\right)\right) \left(-3-x+4 x^2+(3+2 x) \log (-3 x)\right)}{\log \left(\frac{1}{4} \left(4+e^5\right)\right) \left(x^2-2 x^3+x^4+\left(2 x-2 x^2\right) \log (-3 x)+\log ^2(-3 x)\right)} \, dx","Integrate[(25 - 25*x^2 - 25*Log[-3*x] + Log[(4 + E^5)/4]*(-3 - x + 4*x^2 + (3 + 2*x)*Log[-3*x]))/(Log[(4 + E^5)/4]*(x^2 - 2*x^3 + x^4 + (2*x - 2*x^2)*Log[-3*x] + Log[-3*x]^2)),x]","\frac{x \left(x \log \left(\frac{1}{4} \left(4+e^5\right)\right)-25+3 \log \left(\frac{1}{4} \left(4+e^5\right)\right)\right)}{\log \left(\frac{1}{4} \left(4+e^5\right)\right) \left(-x^2+x+\log (-3 x)\right)}","\frac{x+3-\frac{25}{\log \left(1+\frac{e^5}{4}\right)}}{-x+\frac{\log (-3 x)}{x}+1}",1,"(x*(-25 + 3*Log[(4 + E^5)/4] + x*Log[(4 + E^5)/4]))/(Log[(4 + E^5)/4]*(x - x^2 + Log[-3*x]))","A",1
5187,1,22,20,0.0050916,"\int \left(-1+e^x+e^3 \left(-46 x+3 x^2\right)\right) \, dx","Integrate[-1 + E^x + E^3*(-46*x + 3*x^2),x]","e^3 x^3-23 e^3 x^2-x+e^x","-e^3 (23-x) x^2-x+e^x",1,"E^x - x - 23*E^3*x^2 + E^3*x^3","A",1
5188,1,37,33,0.6251744,"\int \frac{e^{\frac{2 \left(e^{3-x}-x^2\right)}{x}} \left(2 x^2-4 x^3+e^{3-x} \left(-4 x-4 x^2\right)\right)+x^{\left.\frac{1}{2}\right/x} (25-25 \log (x))}{50 x^2} \, dx","Integrate[(E^((2*(E^(3 - x) - x^2))/x)*(2*x^2 - 4*x^3 + E^(3 - x)*(-4*x - 4*x^2)) + x^(1/(2*x))*(25 - 25*Log[x]))/(50*x^2),x]","\frac{1}{50} \left(50 x^{\left.\frac{1}{2}\right/x}+2 e^{\frac{2 e^{3-x}}{x}-2 x} x\right)","x^{\left.\frac{1}{2}\right/x}+\frac{1}{25} e^{\frac{2 e^{3-x}}{x}-2 x} x",1,"(2*E^((2*E^(3 - x))/x - 2*x)*x + 50*x^(1/(2*x)))/50","A",1
5189,1,83,27,0.4926757,"\int \exp \left(1-e^{18 x^7 \log ^8\left(e^5 x\right)}+2 e^{9 x^7 \log ^8\left(e^5 x\right)} x-x^2\right) \left(-2 x+e^{18 x^7 \log ^8\left(e^5 x\right)} \left(-144 x^6 \log ^7\left(e^5 x\right)-126 x^6 \log ^8\left(e^5 x\right)\right)+e^{9 x^7 \log ^8\left(e^5 x\right)} \left(2+144 x^7 \log ^7\left(e^5 x\right)+126 x^7 \log ^8\left(e^5 x\right)\right)\right) \, dx","Integrate[E^(1 - E^(18*x^7*Log[E^5*x]^8) + 2*E^(9*x^7*Log[E^5*x]^8)*x - x^2)*(-2*x + E^(18*x^7*Log[E^5*x]^8)*(-144*x^6*Log[E^5*x]^7 - 126*x^6*Log[E^5*x]^8) + E^(9*x^7*Log[E^5*x]^8)*(2 + 144*x^7*Log[E^5*x]^7 + 126*x^7*Log[E^5*x]^8)),x]","\exp \left(x^{11250000 x^7} \left(-\exp \left(18 x^7 \left(\log ^8(x)+40 \log ^7(x)+700 \log ^6(x)+7000 \log ^5(x)+43750 \log ^4(x)+175000 \log ^3(x)+437500 \log ^2(x)+390625\right)\right)\right)+2 x e^{9 x^7 (\log (x)+5)^8}-x^2+1\right)","e^{1-\left(e^{9 x^7 \log ^8\left(e^5 x\right)}-x\right)^2}",1,"E^(1 + 2*E^(9*x^7*(5 + Log[x])^8)*x - x^2 - E^(18*x^7*(390625 + 437500*Log[x]^2 + 175000*Log[x]^3 + 43750*Log[x]^4 + 7000*Log[x]^5 + 700*Log[x]^6 + 40*Log[x]^7 + Log[x]^8))*x^(11250000*x^7))","B",1
5190,1,26,28,0.0229477,"\int \frac{16 x^2-32 x^3+96 x^7+e^{e^{5 x/4}} \left(-4+5 e^{5 x/4} x\right)}{16 x^2} \, dx","Integrate[(16*x^2 - 32*x^3 + 96*x^7 + E^E^((5*x)/4)*(-4 + 5*E^((5*x)/4)*x))/(16*x^2),x]","x^6-x^2+x+\frac{e^{e^{5 x/4}}}{4 x}","\left(x^5-x\right) x+x+\frac{e^{e^{5 x/4}}}{4 x}+4",1,"E^E^((5*x)/4)/(4*x) + x - x^2 + x^6","A",1
5191,1,33,25,0.027183,"\int \frac{e^{18} \left(96+32 e^3\right)+e^{36} \left(9 x+6 e^3 x+e^6 x\right)+e^{18} \left(6+2 e^3\right) \log (x)}{65536 x+e^{18} \left(1536 x^2+512 e^3 x^2\right)+e^{36} \left(9 x^3+6 e^3 x^3+e^6 x^3\right)+\left(16384 x+e^{18} \left(192 x^2+64 e^3 x^2\right)\right) \log (x)+\left(1536 x+e^{18} \left(6 x^2+2 e^3 x^2\right)\right) \log ^2(x)+64 x \log ^3(x)+x \log ^4(x)} \, dx","Integrate[(E^18*(96 + 32*E^3) + E^36*(9*x + 6*E^3*x + E^6*x) + E^18*(6 + 2*E^3)*Log[x])/(65536*x + E^18*(1536*x^2 + 512*E^3*x^2) + E^36*(9*x^3 + 6*E^3*x^3 + E^6*x^3) + (16384*x + E^18*(192*x^2 + 64*E^3*x^2))*Log[x] + (1536*x + E^18*(6*x^2 + 2*E^3*x^2))*Log[x]^2 + 64*x*Log[x]^3 + x*Log[x]^4),x]","-\frac{e^{18} \left(3+e^3\right)}{\left(3 e^{18}+e^{21}\right) x+\log ^2(x)+32 \log (x)+256}","5-\frac{1}{x+\frac{(\log (x)+16)^2}{e^{18} \left(3+e^3\right)}}",1,"-((E^18*(3 + E^3))/(256 + (3*E^18 + E^21)*x + 32*Log[x] + Log[x]^2))","A",1
5192,1,22,23,0.0914033,"\int \frac{e^{\frac{4+2 x}{x}} \left(26 x+5 x^3\right)+e^{\frac{4+2 x}{x}} \left(-104-20 x^2+10 x^3\right) \log (x)}{5 x^2} \, dx","Integrate[(E^((4 + 2*x)/x)*(26*x + 5*x^3) + E^((4 + 2*x)/x)*(-104 - 20*x^2 + 10*x^3)*Log[x])/(5*x^2),x]","\frac{1}{5} e^{\frac{4}{x}+2} \left(5 x^2+26\right) \log (x)","e^{\frac{2 x+4}{x}} \left(x^2+\frac{26}{5}\right) \log (x)+5",1,"(E^(2 + 4/x)*(26 + 5*x^2)*Log[x])/5","A",1
5193,1,13,23,0.0654006,"\int \frac{2 x+x^2+x^3+e^x \left(2+2 x^2\right)}{e^x x^2+x^3} \, dx","Integrate[(2*x + x^2 + x^3 + E^x*(2 + 2*x^2))/(E^x*x^2 + x^3),x]","x-\frac{2}{x}+\log \left(x+e^x\right)","\log \left(\frac{1}{2} e^{\frac{(x-5) x-2}{x}} \left(x+e^x\right)\right)",1,"-2/x + x + Log[E^x + x]","A",1
5194,1,27,25,0.0378861,"\int \frac{4+\left(5 x+5 x^3+e^x \left(10 x^2+5 x^3+10 x^4+5 x^5\right)\right) \log ^2\left(\frac{x^2}{1+x^2}\right)}{\left(5 x+5 x^3\right) \log ^2\left(\frac{x^2}{1+x^2}\right)} \, dx","Integrate[(4 + (5*x + 5*x^3 + E^x*(10*x^2 + 5*x^3 + 10*x^4 + 5*x^5))*Log[x^2/(1 + x^2)]^2)/((5*x + 5*x^3)*Log[x^2/(1 + x^2)]^2),x]","e^x x^2-\frac{2}{5 \log \left(\frac{x^2}{x^2+1}\right)}+x","e^x x^2+x-\frac{2}{5 \log \left(\frac{x}{x+\frac{1}{x}}\right)}",1,"x + E^x*x^2 - 2/(5*Log[x^2/(1 + x^2)])","A",1
5195,1,26,24,0.0146332,"\int \frac{-512+768 x+x^3+(2-3 x) \log (3)}{-256 x^3+x^3 \log (3)} \, dx","Integrate[(-512 + 768*x + x^3 + (2 - 3*x)*Log[3])/(-256*x^3 + x^3*Log[3]),x]","\frac{x^3+3 x (\log (3)-256)+256-\log (3)}{x^2 (\log (3)-256)}","-\frac{(2-3 x)^2}{4 x^2}+\frac{x}{\log (3)-256}+2",1,"(256 + x^3 + 3*x*(-256 + Log[3]) - Log[3])/(x^2*(-256 + Log[3]))","A",1
5196,1,31,24,1.3782461,"\int \frac{16 x^5+4 x^6+e^{\frac{3 (-1+2 x)}{x}} \left(-1296 x-756 x^2\right)+e^{\frac{4 (-1+2 x)}{x}} \left(1296+324 x-108 x^2\right)+e^{\frac{2 (-1+2 x)}{x}} \left(432 x^2+540 x^3+72 x^4\right)+e^{\frac{-1+2 x}{x}} \left(-48 x^3-156 x^4-32 x^5\right)+\left(e^{\frac{4 (-1+2 x)}{x}} \left(-1728-432 x+108 x^2\right)+e^{\frac{3 (-1+2 x)}{x}} \left(1296 x+756 x^2+36 x^3\right)+e^{\frac{2 (-1+2 x)}{x}} \left(-288 x^2-360 x^3-60 x^4\right)+e^{\frac{-1+2 x}{x}} \left(16 x^3+52 x^4+12 x^5\right)\right) \log (4+x)+\left(e^{\frac{4 (-1+2 x)}{x}} \left(864+216 x-36 x^2\right)+e^{\frac{3 (-1+2 x)}{x}} \left(-432 x-252 x^2-24 x^3\right)+e^{\frac{2 (-1+2 x)}{x}} \left(48 x^2+60 x^3+12 x^4\right)\right) \log ^2(4+x)+\left(e^{\frac{4 (-1+2 x)}{x}} \left(-192-48 x+4 x^2\right)+e^{\frac{3 (-1+2 x)}{x}} \left(48 x+28 x^2+4 x^3\right)\right) \log ^3(4+x)+e^{\frac{4 (-1+2 x)}{x}} (16+4 x) \log ^4(4+x)}{4 x^2+x^3} \, dx","Integrate[(16*x^5 + 4*x^6 + E^((3*(-1 + 2*x))/x)*(-1296*x - 756*x^2) + E^((4*(-1 + 2*x))/x)*(1296 + 324*x - 108*x^2) + E^((2*(-1 + 2*x))/x)*(432*x^2 + 540*x^3 + 72*x^4) + E^((-1 + 2*x)/x)*(-48*x^3 - 156*x^4 - 32*x^5) + (E^((4*(-1 + 2*x))/x)*(-1728 - 432*x + 108*x^2) + E^((3*(-1 + 2*x))/x)*(1296*x + 756*x^2 + 36*x^3) + E^((2*(-1 + 2*x))/x)*(-288*x^2 - 360*x^3 - 60*x^4) + E^((-1 + 2*x)/x)*(16*x^3 + 52*x^4 + 12*x^5))*Log[4 + x] + (E^((4*(-1 + 2*x))/x)*(864 + 216*x - 36*x^2) + E^((3*(-1 + 2*x))/x)*(-432*x - 252*x^2 - 24*x^3) + E^((2*(-1 + 2*x))/x)*(48*x^2 + 60*x^3 + 12*x^4))*Log[4 + x]^2 + (E^((4*(-1 + 2*x))/x)*(-192 - 48*x + 4*x^2) + E^((3*(-1 + 2*x))/x)*(48*x + 28*x^2 + 4*x^3))*Log[4 + x]^3 + E^((4*(-1 + 2*x))/x)*(16 + 4*x)*Log[4 + x]^4)/(4*x^2 + x^3),x]","e^{-4/x} \left(e^{\frac{1}{x}} x+e^2 \log (x+4)-3 e^2\right)^4","\left(e^{2-\frac{1}{x}} (3-\log (x+4))-x\right)^4",1,"(-3*E^2 + E^x^(-1)*x + E^2*Log[4 + x])^4/E^(4/x)","A",1
5197,1,16,17,0.0046536,"\int \left(-1+15 x^2+e^{2 x} (1+2 x)\right) \, dx","Integrate[-1 + 15*x^2 + E^(2*x)*(1 + 2*x),x]","5 x^3+e^{2 x} x-x","5 x^3+e^{2 x} x-x+2",1,"-x + E^(2*x)*x + 5*x^3","A",1
5198,1,32,33,0.0425015,"\int \frac{e^{-x^2} \left(e^{x^2} \left(-e^{3+x} \log (5)+(1-4 x) \log (5)\right)+\left(2 x-2 x^3\right) \log (\log (4))\right)}{\log (5)} \, dx","Integrate[(E^x^2*(-(E^(3 + x)*Log[5]) + (1 - 4*x)*Log[5]) + (2*x - 2*x^3)*Log[Log[4]])/(E^x^2*Log[5]),x]","-2 x^2+\frac{e^{-x^2} x^2 \log (\log (4))}{\log (5)}+x-e^{x+3}","-\left(x \left(2 x-\frac{e^{-x^2} x \log (\log (4))}{\log (5)}\right)\right)+x-e^{x+3}",1,"-E^(3 + x) + x - 2*x^2 + (x^2*Log[Log[4]])/(E^x^2*Log[5])","A",1
5199,1,67,26,0.1353005,"\int \frac{-48+3 x^4+6 e^{2 x^2} x^4+\sqrt[3]{e} \left(-12 x+3 x^3\right)+e^{x^2} \left(12 x-27 x^3-6 \sqrt[3]{e} x^4-6 x^5\right)}{8 x^3} \, dx","Integrate[(-48 + 3*x^4 + 6*E^(2*x^2)*x^4 + E^(1/3)*(-12*x + 3*x^3) + E^x^2*(12*x - 27*x^3 - 6*E^(1/3)*x^4 - 6*x^5))/(8*x^3),x]","-\frac{3}{8} \left(-\frac{\left(x^2-4\right)^2}{2 x^2}-\frac{e^{2 x^2}}{2}+e^{x^2+\frac{1}{3}}+e^{x^2} \left(x+\frac{4}{x}\right)-\frac{\sqrt[3]{e} \left(x^2+4\right)}{x}\right)","3 \left(\frac{1}{4} \left(-e^{x^2}+x+\sqrt[3]{e}\right)+\frac{1}{x}\right)^2",1,"(-3*(-1/2*E^(2*x^2) + E^(1/3 + x^2) + E^x^2*(4/x + x) - (-4 + x^2)^2/(2*x^2) - (E^(1/3)*(4 + x^2))/x))/8","B",1
5200,1,6,14,0.0009454,"\int \frac{-2+x}{x} \, dx","Integrate[(-2 + x)/x,x]","x-2 \log (x)","\log \left(\frac{1}{x^2}\right)+x+\frac{1}{16+e^2}-1",1,"x - 2*Log[x]","A",1
5201,1,54,30,6.999606,"\int \frac{\exp \left(\frac{x^2-2 e^{-48+4 e} x^3+e^{-96+8 e} \left(x+x^4\right)}{1-2 e^{-48+4 e} x+e^{-96+8 e} x^2}\right) \left(-2 x-2 x^3+e^{-48+4 e} \left(6 x^2+6 x^4\right)+e^{-96+8 e} \left(-x^2-6 x^3-6 x^5\right)+e^{-144+12 e} \left(-x^3+2 x^4+2 x^6\right)\right)}{-16+48 e^{-48+4 e} x-48 e^{-96+8 e} x^2+16 e^{-144+12 e} x^3} \, dx","Integrate[(E^((x^2 - 2*E^(-48 + 4*E)*x^3 + E^(-96 + 8*E)*(x + x^4))/(1 - 2*E^(-48 + 4*E)*x + E^(-96 + 8*E)*x^2))*(-2*x - 2*x^3 + E^(-48 + 4*E)*(6*x^2 + 6*x^4) + E^(-96 + 8*E)*(-x^2 - 6*x^3 - 6*x^5) + E^(-144 + 12*E)*(-x^3 + 2*x^4 + 2*x^6)))/(-16 + 48*E^(-48 + 4*E)*x - 48*E^(-96 + 8*E)*x^2 + 16*E^(-144 + 12*E)*x^3),x]","\frac{1}{16} x^2 \exp \left(\frac{x \left(e^{8 e} \left(x^3+1\right)-2 e^{48+4 e} x^2+e^{96} x\right)}{\left(e^{48}-e^{4 e} x\right)^2}\right)","\frac{1}{16} e^{x^2+\frac{x}{\left(x-e^{4 (12-e)}\right)^2}} x^2",1,"(E^((x*(E^96*x - 2*E^(48 + 4*E)*x^2 + E^(8*E)*(1 + x^3)))/(E^48 - E^(4*E)*x)^2)*x^2)/16","A",1
5202,1,39,27,0.076796,"\int \frac{-3 e^{\frac{2 \left(2 e-2 e^4+2 x-2 x \log (2)\right)}{x}} x+e^{\frac{2 e-2 e^4+2 x-2 x \log (2)}{x}} \left(-2 e+2 e^4+x\right)}{x-6 e^{\frac{2 e-2 e^4+2 x-2 x \log (2)}{x}} x+9 e^{\frac{2 \left(2 e-2 e^4+2 x-2 x \log (2)\right)}{x}} x} \, dx","Integrate[(-3*E^((2*(2*E - 2*E^4 + 2*x - 2*x*Log[2]))/x)*x + E^((2*E - 2*E^4 + 2*x - 2*x*Log[2])/x)*(-2*E + 2*E^4 + x))/(x - 6*E^((2*E - 2*E^4 + 2*x - 2*x*Log[2])/x)*x + 9*E^((2*(2*E - 2*E^4 + 2*x - 2*x*Log[2]))/x)*x),x]","\frac{e^{\frac{2 e}{x}+2} x}{4 e^{\frac{2 e^4}{x}}-3 e^{\frac{2 e}{x}+2}}","\frac{x}{e^{-2 \left(\frac{x-e^4+e}{x}-\log (2)\right)}-3}",1,"(E^(2 + (2*E)/x)*x)/(-3*E^(2 + (2*E)/x) + 4*E^((2*E^4)/x))","A",1
5203,1,10,10,0.0055004,"\int \frac{96-9 x}{256 x^3-32 x^4+x^5} \, dx","Integrate[(96 - 9*x)/(256*x^3 - 32*x^4 + x^5),x]","\frac{3}{(x-16) x^2}","\frac{3}{(x-16) x^2}",1,"3/((-16 + x)*x^2)","A",1
5204,1,5,14,0.0009914,"\int 4 e^{4 x} \, dx","Integrate[4*E^(4*x),x]","e^{4 x}","e^{4 x}-e^3+e^5",1,"E^(4*x)","A",1
5205,1,37,29,0.2914338,"\int \frac{\left(-10+e^{4 x} \left(75+270 x-117 x^2+12 x^3\right)\right) \log (x)+\left(-10+2 x+e^{4 x} \left(75-30 x+3 x^2\right)\right) \log \left(\frac{e^e \left(2 x+e^{4 x} \left(-15 x+3 x^2\right)\right)}{-5+x}\right)}{-50 x+10 x^2+e^{4 x} \left(375 x-150 x^2+15 x^3\right)} \, dx","Integrate[((-10 + E^(4*x)*(75 + 270*x - 117*x^2 + 12*x^3))*Log[x] + (-10 + 2*x + E^(4*x)*(75 - 30*x + 3*x^2))*Log[(E^E*(2*x + E^(4*x)*(-15*x + 3*x^2)))/(-5 + x)])/(-50*x + 10*x^2 + E^(4*x)*(375*x - 150*x^2 + 15*x^3)),x]","\frac{1}{5} \left(\log \left(\frac{x \left(3 e^{4 x} x-15 e^{4 x}+2\right)}{x-5}\right) \log (x)+e \log (x)\right)","\frac{1}{5} \log (x) \log \left(e^e \left(3 e^{4 x}-\frac{2}{5-x}\right) x\right)",1,"(E*Log[x] + Log[x]*Log[(x*(2 - 15*E^(4*x) + 3*E^(4*x)*x))/(-5 + x)])/5","A",1
5206,1,18,19,0.0831393,"\int \frac{5 x+5 x^2+5 e^x x^2+e^{x^{2/x}} x^{2/x} (10-10 \log (x))}{x^2} \, dx","Integrate[(5*x + 5*x^2 + 5*E^x*x^2 + E^x^(2/x)*x^(2/x)*(10 - 10*Log[x]))/x^2,x]","5 \left(e^{x^{2/x}}+x+e^x+\log (x)\right)","5 \left(e^{x^{2/x}}+x+e^x+\log (x)-5\right)",1,"5*(E^x + E^x^(2/x) + x + Log[x])","A",1
5207,1,14,14,0.0543987,"\int \frac{-30 x \log \left(x^2\right)+(90+60 x) \log (3+2 x)}{\left(3 x+2 x^2\right) \log ^2(3+2 x)} \, dx","Integrate[(-30*x*Log[x^2] + (90 + 60*x)*Log[3 + 2*x])/((3*x + 2*x^2)*Log[3 + 2*x]^2),x]","\frac{15 \log \left(x^2\right)}{\log (2 x+3)}","\frac{15 \log \left(x^2\right)}{\log (2 x+3)}",1,"(15*Log[x^2])/Log[3 + 2*x]","A",1
5208,1,204,34,0.1619841,"\int \frac{1250 x^2-2500 x^3+1250 x^4+\left(625 x^2-2500 x^3+1875 x^4\right) \log \left(\frac{6}{5 x^2}\right)+\left(-2000 x^2+2000 x^3\right) \log \left(\frac{6}{5 x^2}\right) \log \left(x^2\right)+\left(-1000 x^2+1000 x^3+\left(-500 x^2+1000 x^3\right) \log \left(\frac{6}{5 x^2}\right)\right) \log ^2\left(x^2\right)+\left(-400 x+1200 x^2\right) \log \left(\frac{6}{5 x^2}\right) \log ^3\left(x^2\right)+\left(-100 x+300 x^2+150 x^2 \log \left(\frac{6}{5 x^2}\right)\right) \log ^4\left(x^2\right)+240 x \log \left(\frac{6}{5 x^2}\right) \log ^5\left(x^2\right)+40 x \log ^6\left(x^2\right)+16 \log \left(\frac{6}{5 x^2}\right) \log ^7\left(x^2\right)+\left(2-\log \left(\frac{6}{5 x^2}\right)\right) \log ^8\left(x^2\right)}{625 x^2 \log ^2\left(\frac{6}{5 x^2}\right)} \, dx","Integrate[(1250*x^2 - 2500*x^3 + 1250*x^4 + (625*x^2 - 2500*x^3 + 1875*x^4)*Log[6/(5*x^2)] + (-2000*x^2 + 2000*x^3)*Log[6/(5*x^2)]*Log[x^2] + (-1000*x^2 + 1000*x^3 + (-500*x^2 + 1000*x^3)*Log[6/(5*x^2)])*Log[x^2]^2 + (-400*x + 1200*x^2)*Log[6/(5*x^2)]*Log[x^2]^3 + (-100*x + 300*x^2 + 150*x^2*Log[6/(5*x^2)])*Log[x^2]^4 + 240*x*Log[6/(5*x^2)]*Log[x^2]^5 + 40*x*Log[x^2]^6 + 16*Log[6/(5*x^2)]*Log[x^2]^7 + (2 - Log[6/(5*x^2)])*Log[x^2]^8)/(625*x^2*Log[6/(5*x^2)]^2),x]","\frac{1}{625} \left(-180 \log ^5\left(\frac{6}{5 x^2}\right)-600 \left(\log \left(x^2\right)+\log (x)\right) \log ^4\left(\frac{6}{5 x^2}\right)-600 \log (x) \left(6 \log ^2\left(x^2\right)-1\right) \log ^2\left(\frac{6}{5 x^2}\right)+300 \log \left(x^2\right) \left(\log (x) \left(4-8 \log ^2\left(x^2\right)\right)+\log \left(x^2\right) \left(\log ^2\left(x^2\right)-1\right)\right) \log \left(\frac{6}{5 x^2}\right)+\frac{\left(\log ^4\left(x^2\right)+10 x \log ^2\left(x^2\right)+25 (x-1) x\right)^2}{x \log \left(\frac{6}{5 x^2}\right)}-100 \left(6 \log ^2\left(x^2\right)+24 \log (x) \log \left(x^2\right)-1\right) \log ^3\left(\frac{6}{5 x^2}\right)-40 \log ^2\left(x^2\right) \left(-3 \log ^3\left(x^2\right)+15 \log (x) \left(\log ^2\left(x^2\right)-1\right)+5 \log \left(x^2\right)\right)\right)","\frac{\left(x-\left(\frac{1}{5} \log ^2\left(x^2\right)+x\right)^2\right)^2}{x \log \left(\frac{6}{5 x^2}\right)}",1,"(-180*Log[6/(5*x^2)]^5 - 600*Log[6/(5*x^2)]^4*(Log[x] + Log[x^2]) - 600*Log[6/(5*x^2)]^2*Log[x]*(-1 + 6*Log[x^2]^2) - 100*Log[6/(5*x^2)]^3*(-1 + 24*Log[x]*Log[x^2] + 6*Log[x^2]^2) + (25*(-1 + x)*x + 10*x*Log[x^2]^2 + Log[x^2]^4)^2/(x*Log[6/(5*x^2)]) - 40*Log[x^2]^2*(5*Log[x^2] - 3*Log[x^2]^3 + 15*Log[x]*(-1 + Log[x^2]^2)) + 300*Log[6/(5*x^2)]*Log[x^2]*(Log[x]*(4 - 8*Log[x^2]^2) + Log[x^2]*(-1 + Log[x^2]^2)))/625","B",1
5209,1,45,29,0.1633806,"\int \frac{1-5 x-9 x^2-2 x^3+2 x^4+e^{2 x} \left(1-6 x-2 x^2+2 x^3\right)+e^x \left(2-10 x-12 x^2+2 x^3+2 x^4\right)+\left(-4 x-6 x^2-3 x^3+e^{2 x} \left(-3 x-2 x^2\right)+e^x \left(-6 x-8 x^2-2 x^3\right)\right) \log (x)}{5 x+40 x^2+110 x^3+130 x^4+85 x^5+30 x^6+5 x^7+e^{4 x} \left(5 x+10 x^2+5 x^3\right)+e^{3 x} \left(20 x+60 x^2+60 x^3+20 x^4\right)+e^{2 x} \left(30 x+130 x^2+190 x^3+120 x^4+30 x^5\right)+e^x \left(20 x+120 x^2+240 x^3+220 x^4+100 x^5+20 x^6\right)} \, dx","Integrate[(1 - 5*x - 9*x^2 - 2*x^3 + 2*x^4 + E^(2*x)*(1 - 6*x - 2*x^2 + 2*x^3) + E^x*(2 - 10*x - 12*x^2 + 2*x^3 + 2*x^4) + (-4*x - 6*x^2 - 3*x^3 + E^(2*x)*(-3*x - 2*x^2) + E^x*(-6*x - 8*x^2 - 2*x^3))*Log[x])/(5*x + 40*x^2 + 110*x^3 + 130*x^4 + 85*x^5 + 30*x^6 + 5*x^7 + E^(4*x)*(5*x + 10*x^2 + 5*x^3) + E^(3*x)*(20*x + 60*x^2 + 60*x^3 + 20*x^4) + E^(2*x)*(30*x + 130*x^2 + 190*x^3 + 120*x^4 + 30*x^5) + E^x*(20*x + 120*x^2 + 240*x^3 + 220*x^4 + 100*x^5 + 20*x^6)),x]","\frac{-x+\log (x)+2}{5 \left(x^3+3 x^2+4 x+2 e^x (x+1)^2+e^{2 x} (x+1)+1\right)}","\frac{-x+\log (x)+2}{5 \left((x+1) \left(x+e^x+1\right)^2+x\right)}+5",1,"(2 - x + Log[x])/(5*(1 + 4*x + 3*x^2 + x^3 + E^(2*x)*(1 + x) + 2*E^x*(1 + x)^2))","A",1
5210,1,26,31,0.5530583,"\int \frac{e^{\frac{2 \left(e^4 x+3 \log (4)\right)}{3 e^4}} \left(3 e^{2 x}+e^x \left(-15 x+25 x^2\right)\right)-2 e^{2 x+\frac{2 \left(e^4 x+3 \log (4)\right)}{3 e^4}} x \log (x)}{75 x^3-30 e^x x^2 \log (x)+3 e^{2 x} x \log ^2(x)} \, dx","Integrate[(E^((2*(E^4*x + 3*Log[4]))/(3*E^4))*(3*E^(2*x) + E^x*(-15*x + 25*x^2)) - 2*E^(2*x + (2*(E^4*x + 3*Log[4]))/(3*E^4))*x*Log[x])/(75*x^3 - 30*E^x*x^2*Log[x] + 3*E^(2*x)*x*Log[x]^2),x]","-\frac{16^{\frac{1}{e^4}} e^{5 x/3}}{e^x \log (x)-5 x}","\frac{e^{\frac{2 x}{3}+\frac{2 \log (4)}{e^4}}}{5 e^{-x} x-\log (x)}",1,"-((16^E^(-4)*E^((5*x)/3))/(-5*x + E^x*Log[x]))","A",1
5211,1,30,33,0.9610223,"\int \frac{e^x \left(125+220 x-90 x^2+100 x^3+e^2 \left(-10 x+20 x^2\right)\right)+e^x \left(125+125 x-20 x^2+10 e^2 x^2+50 x^3\right) \log (x)}{2500+1200 x+2144 x^2+16 e^4 x^2+480 x^3+400 x^4+e^2 \left(400 x+96 x^2+160 x^3\right)+\left(2500+1200 x+2144 x^2+16 e^4 x^2+480 x^3+400 x^4+e^2 \left(400 x+96 x^2+160 x^3\right)\right) \log (x)+\left(625+300 x+536 x^2+4 e^4 x^2+120 x^3+100 x^4+e^2 \left(100 x+24 x^2+40 x^3\right)\right) \log ^2(x)} \, dx","Integrate[(E^x*(125 + 220*x - 90*x^2 + 100*x^3 + E^2*(-10*x + 20*x^2)) + E^x*(125 + 125*x - 20*x^2 + 10*E^2*x^2 + 50*x^3)*Log[x])/(2500 + 1200*x + 2144*x^2 + 16*E^4*x^2 + 480*x^3 + 400*x^4 + E^2*(400*x + 96*x^2 + 160*x^3) + (2500 + 1200*x + 2144*x^2 + 16*E^4*x^2 + 480*x^3 + 400*x^4 + E^2*(400*x + 96*x^2 + 160*x^3))*Log[x] + (625 + 300*x + 536*x^2 + 4*E^4*x^2 + 120*x^3 + 100*x^4 + E^2*(100*x + 24*x^2 + 40*x^3))*Log[x]^2),x]","\frac{5 e^x x}{\left(10 x^2+2 e^2 x+6 x+25\right) (\log (x)+2)}","\frac{e^x}{2 \left(x+\frac{5}{2 x}+\frac{1}{5} \left(3+e^2\right)\right) (\log (x)+2)}",1,"(5*E^x*x)/((25 + 6*x + 2*E^2*x + 10*x^2)*(2 + Log[x]))","A",1
5212,1,38,23,0.012655,"\int \frac{8 x^2+2 x^6+\left(-57 x-12 x^5\right) \log ^2(2)+\left(90+18 x^4\right) \log ^4(2)}{x^5-6 x^4 \log ^2(2)+9 x^3 \log ^4(2)} \, dx","Integrate[(8*x^2 + 2*x^6 + (-57*x - 12*x^5)*Log[2]^2 + (90 + 18*x^4)*Log[2]^4)/(x^5 - 6*x^4*Log[2]^2 + 9*x^3*Log[2]^4),x]","x^2-\frac{5}{x^2}+\frac{1}{3 \log ^2(2) \left(x-3 \log ^2(2)\right)}-\frac{1}{3 x \log ^2(2)}","x^2-\frac{4-\frac{3}{\frac{x}{\log ^2(2)}-3}}{x^2}",1,"-5/x^2 + x^2 - 1/(3*x*Log[2]^2) + 1/(3*Log[2]^2*(x - 3*Log[2]^2))","A",1
5213,1,15,15,0.0031957,"\int 64 e^{4+2 x^2} x \log ^2(4) \, dx","Integrate[64*E^(4 + 2*x^2)*x*Log[4]^2,x]","16 e^{2 x^2+4} \log ^2(4)","16 e^{2 x^2+4} \log ^2(4)",1,"16*E^(4 + 2*x^2)*Log[4]^2","A",1
5214,1,24,35,0.0077876,"\int \frac{100-20 x-59 x^2+10 x^3+8 x^4}{-80 x^2+16 x^3+16 x^4} \, dx","Integrate[(100 - 20*x - 59*x^2 + 10*x^3 + 8*x^4)/(-80*x^2 + 16*x^3 + 16*x^4),x]","\frac{1}{16} \left(\log \left(-x^2-x+5\right)+8 x+\frac{20}{x}\right)","\frac{1}{4} \left(\frac{1}{4} \log \left(-x^2-x+5\right)+\frac{5}{x}+3\right)+\frac{x-2}{2}+5",1,"(20/x + 8*x + Log[5 - x - x^2])/16","A",1
5215,1,22,22,0.2701303,"\int \frac{-480+60 x^2+80 x^4+\left(-60+10 x^2+20 x^4\right) \log \left(\frac{1}{2} \left(6-x^2-2 x^4\right)\right)}{-384+64 x^2+128 x^4+\left(-96+16 x^2+32 x^4\right) \log \left(\frac{1}{2} \left(6-x^2-2 x^4\right)\right)+\left(-6+x^2+2 x^4\right) \log ^2\left(\frac{1}{2} \left(6-x^2-2 x^4\right)\right)} \, dx","Integrate[(-480 + 60*x^2 + 80*x^4 + (-60 + 10*x^2 + 20*x^4)*Log[(6 - x^2 - 2*x^4)/2])/(-384 + 64*x^2 + 128*x^4 + (-96 + 16*x^2 + 32*x^4)*Log[(6 - x^2 - 2*x^4)/2] + (-6 + x^2 + 2*x^4)*Log[(6 - x^2 - 2*x^4)/2]^2),x]","\frac{10 x}{\log \left(-x^4-\frac{x^2}{2}+3\right)+8}","\frac{10 x}{\log \left(-x^4-\frac{x^2}{2}+3\right)+8}",1,"(10*x)/(8 + Log[3 - x^2/2 - x^4])","A",1
5216,1,29,21,0.0623793,"\int \frac{9 x^2+e \left(-54 x+18 x^2\right)+\left(-54 x+18 x^2\right) \log (3-x)+\left(108 x-36 x^2\right) \log \left(x^2\right)+\left(54 x-18 x^2\right) \log ^2\left(x^2\right)}{-3+x} \, dx","Integrate[(9*x^2 + E*(-54*x + 18*x^2) + (-54*x + 18*x^2)*Log[3 - x] + (108*x - 36*x^2)*Log[x^2] + (54*x - 18*x^2)*Log[x^2]^2)/(-3 + x),x]","9 \left(e x^2+x^2 \left(-\log ^2\left(x^2\right)\right)+x^2 \log (3-x)\right)","9 x^2 \left(-\log ^2\left(x^2\right)+\log (3-x)+e\right)",1,"9*(E*x^2 + x^2*Log[3 - x] - x^2*Log[x^2]^2)","A",1
5217,1,36,14,0.0304249,"\int \frac{12 x^3-12 x^4+\left(-36 x^2+36 x^3\right) \log (x)+\left(36 x-36 x^2\right) \log ^2(x)+(-12+12 x) \log ^3(x)}{16 x-8 x^5+x^9+\left(32 x^4-8 x^8\right) \log (x)+\left(-48 x^3+28 x^7\right) \log ^2(x)+\left(32 x^2-56 x^6\right) \log ^3(x)+\left(-8 x+70 x^5\right) \log ^4(x)-56 x^4 \log ^5(x)+28 x^3 \log ^6(x)-8 x^2 \log ^7(x)+x \log ^8(x)} \, dx","Integrate[(12*x^3 - 12*x^4 + (-36*x^2 + 36*x^3)*Log[x] + (36*x - 36*x^2)*Log[x]^2 + (-12 + 12*x)*Log[x]^3)/(16*x - 8*x^5 + x^9 + (32*x^4 - 8*x^8)*Log[x] + (-48*x^3 + 28*x^7)*Log[x]^2 + (32*x^2 - 56*x^6)*Log[x]^3 + (-8*x + 70*x^5)*Log[x]^4 - 56*x^4*Log[x]^5 + 28*x^3*Log[x]^6 - 8*x^2*Log[x]^7 + x*Log[x]^8),x]","\frac{3}{x^4-4 x^3 \log (x)+6 x^2 \log ^2(x)+\log ^4(x)-4 x \log ^3(x)-4}","\frac{3}{(x-\log (x))^4-4}",1,"3/(-4 + x^4 - 4*x^3*Log[x] + 6*x^2*Log[x]^2 - 4*x*Log[x]^3 + Log[x]^4)","B",1
5218,1,17,29,0.0190123,"\int \frac{-12+4 x^2+e^x (-4+4 x)+4 \log (x)}{x^2} \, dx","Integrate[(-12 + 4*x^2 + E^x*(-4 + 4*x) + 4*Log[x])/x^2,x]","\frac{4 \left(x^2+e^x-\log (x)+2\right)}{x}","\frac{2}{x}-\frac{2 \left(2 \left(-x^2-e^x+\log (x)\right)+x-3\right)}{x}",1,"(4*(2 + E^x + x^2 - Log[x]))/x","A",1
5219,1,19,19,0.0707654,"\int \frac{e^{\frac{8427+636 x+12 x^2+x^3}{3 x^2}} \left(-16854-636 x+x^3\right)}{3 x^3} \, dx","Integrate[(E^((8427 + 636*x + 12*x^2 + x^3)/(3*x^2))*(-16854 - 636*x + x^3))/(3*x^3),x]","e^{\frac{2809}{x^2}+\frac{x}{3}+\frac{212}{x}+4}","e^{\frac{(-2 x-53)^2}{x^2}+\frac{x}{3}}",1,"E^(4 + 2809/x^2 + 212/x + x/3)","A",1
5220,1,145,40,0.115569,"\int \frac{-32+e^{\frac{-1+9 x}{x}}+14 x+64 x^2-16 x^3+\left(16-4 x-32 x^2+4 x^3\right) \log \left(\frac{e^{\frac{1}{2} e^{\frac{-1+9 x}{x}}}}{x}\right)+\left(-2+4 x^2\right) \log ^2\left(\frac{e^{\frac{1}{2} e^{\frac{-1+9 x}{x}}}}{x}\right)}{32 x-8 x^2+\left(-16 x+2 x^2\right) \log \left(\frac{e^{\frac{1}{2} e^{\frac{-1+9 x}{x}}}}{x}\right)+2 x \log ^2\left(\frac{e^{\frac{1}{2} e^{\frac{-1+9 x}{x}}}}{x}\right)} \, dx","Integrate[(-32 + E^((-1 + 9*x)/x) + 14*x + 64*x^2 - 16*x^3 + (16 - 4*x - 32*x^2 + 4*x^3)*Log[E^(E^((-1 + 9*x)/x)/2)/x] + (-2 + 4*x^2)*Log[E^(E^((-1 + 9*x)/x)/2)/x]^2)/(32*x - 8*x^2 + (-16*x + 2*x^2)*Log[E^(E^((-1 + 9*x)/x)/2)/x] + 2*x*Log[E^(E^((-1 + 9*x)/x)/2)/x]^2),x]","\frac{1}{2} \left(2 x^2-2 \log (x)+2 \log \left(-e^{9-\frac{1}{x}}-2 \log \left(\frac{1}{x}\right)-2 \left(-\frac{1}{2} e^{9-\frac{1}{x}}-\log \left(\frac{1}{x}\right)+\log \left(\frac{e^{\frac{1}{2} e^{9-\frac{1}{x}}}}{x}\right)\right)+8\right)-2 \log \left(-2 x-e^{9-\frac{1}{x}}-2 \log \left(\frac{1}{x}\right)-2 \left(-\frac{1}{2} e^{9-\frac{1}{x}}-\log \left(\frac{1}{x}\right)+\log \left(\frac{e^{\frac{1}{2} e^{9-\frac{1}{x}}}}{x}\right)\right)+8\right)\right)","x^2-\log \left(x-\frac{x^2}{4-\log \left(\frac{e^{\frac{1}{2} e^{9-\frac{1}{x}}}}{x}\right)}\right)",1,"(2*x^2 - 2*Log[x] + 2*Log[8 - E^(9 - x^(-1)) - 2*Log[x^(-1)] - 2*(-1/2*E^(9 - x^(-1)) - Log[x^(-1)] + Log[E^(E^(9 - x^(-1))/2)/x])] - 2*Log[8 - E^(9 - x^(-1)) - 2*x - 2*Log[x^(-1)] - 2*(-1/2*E^(9 - x^(-1)) - Log[x^(-1)] + Log[E^(E^(9 - x^(-1))/2)/x])])/2","B",1
5221,1,28,22,0.2256483,"\int \frac{4+8 x^4+4 x^8+e^{\frac{11 x+4 x^4+11 x^5}{4+4 x^4}} \left(11+16 x^3+22 x^4+11 x^8\right)}{4+8 x^4+4 x^8} \, dx","Integrate[(4 + 8*x^4 + 4*x^8 + E^((11*x + 4*x^4 + 11*x^5)/(4 + 4*x^4))*(11 + 16*x^3 + 22*x^4 + 11*x^8))/(4 + 8*x^4 + 4*x^8),x]","\frac{1}{4} \left(4 e^{-\frac{1}{x^4+1}+\frac{11 x}{4}+1}+4 x\right)","e^{\frac{x^4}{x^4+1}+\frac{11 x}{4}}+x-5",1,"(4*E^(1 + (11*x)/4 - (1 + x^4)^(-1)) + 4*x)/4","A",1
5222,1,31,31,1.5330143,"\int \frac{-e^x+\exp \left(x^2+2 x^2 \log ^2\left(\frac{4}{\log (3)}\right)+x^2 \log ^4\left(\frac{4}{\log (3)}\right)\right) \left(2 x+4 x \log ^2\left(\frac{4}{\log (3)}\right)+2 x \log ^4\left(\frac{4}{\log (3)}\right)\right)}{e^{e^2}-e^x+\exp \left(x^2+2 x^2 \log ^2\left(\frac{4}{\log (3)}\right)+x^2 \log ^4\left(\frac{4}{\log (3)}\right)\right)} \, dx","Integrate[(-E^x + E^(x^2 + 2*x^2*Log[4/Log[3]]^2 + x^2*Log[4/Log[3]]^4)*(2*x + 4*x*Log[4/Log[3]]^2 + 2*x*Log[4/Log[3]]^4))/(E^E^2 - E^x + E^(x^2 + 2*x^2*Log[4/Log[3]]^2 + x^2*Log[4/Log[3]]^4)),x]","\log \left(e^{x^2 \left(1+\log ^2\left(\frac{4}{\log (3)}\right)\right)^2}-e^x+e^{e^2}\right)","\log \left(e^x-e^{\left(x+x \log ^2\left(\frac{4}{\log (3)}\right)\right)^2}-e^{e^2}\right)",1,"Log[E^E^2 - E^x + E^(x^2*(1 + Log[4/Log[3]]^2)^2)]","A",1
5223,1,21,19,0.1338573,"\int \frac{e^{-x} \left(-132-836 x+648 x^2-96 x^3+4 x^4\right)}{121-22 x+x^2} \, dx","Integrate[(-132 - 836*x + 648*x^2 - 96*x^3 + 4*x^4)/(E^x*(121 - 22*x + x^2)),x]","-\frac{4 e^{-x} x \left(x^2-11 x-3\right)}{x-11}","-4 e^{-x} x \left(x+\frac{3}{11-x}\right)",1,"(-4*x*(-3 - 11*x + x^2))/(E^x*(-11 + x))","A",1
5224,1,14,18,0.0061948,"\int \frac{-125+250 x^2+374 x^3}{125 x+187 x^2} \, dx","Integrate[(-125 + 250*x^2 + 374*x^3)/(125*x + 187*x^2),x]","x^2-\log (x)+\log (187 x+125)","x^2-\log \left(\frac{x}{\frac{187 x}{25}+5}\right)",1,"x^2 - Log[x] + Log[125 + 187*x]","A",1
5225,1,12,19,0.0074574,"\int 65536 e^{-3-14 x} \left(3 x^2-14 x^3\right) \, dx","Integrate[65536*E^(-3 - 14*x)*(3*x^2 - 14*x^3),x]","65536 e^{-14 x-3} x^3","x^3 e^{2 x-16 (x-\log (2))-3}",1,"65536*E^(-3 - 14*x)*x^3","A",1
5226,1,23,20,0.0124081,"\int \frac{e^{32} \left(1024+4096 x+4608 x^2+2048 x^3+320 x^4\right)+\left(32 x+96 x^2+96 x^3+40 x^4+6 x^5\right) \log ^2(2)}{\log ^2(2)} \, dx","Integrate[(E^32*(1024 + 4096*x + 4608*x^2 + 2048*x^3 + 320*x^4) + (32*x + 96*x^2 + 96*x^3 + 40*x^4 + 6*x^5)*Log[2]^2)/Log[2]^2,x]","\frac{x (x+2)^4 \left(x \log ^2(2)+64 e^{32}\right)}{\log ^2(2)}","(x+2)^4 \left(x^2+\frac{64 e^{32} x}{\log ^2(2)}\right)",1,"(x*(2 + x)^4*(64*E^32 + x*Log[2]^2))/Log[2]^2","A",1
5227,1,61,32,0.0310174,"\int \frac{-19-e^6+e^3 (-8-2 x)-9 x-x^2+\left(20+19 x+5 x^2\right) \log (5)+\left(-9 x-2 e^3 x-2 x^2+\left(19 x+10 x^2\right) \log (5)\right) \log (x)}{x} \, dx","Integrate[(-19 - E^6 + E^3*(-8 - 2*x) - 9*x - x^2 + (20 + 19*x + 5*x^2)*Log[5] + (-9*x - 2*E^3*x - 2*x^2 + (19*x + 10*x^2)*Log[5])*Log[x])/x,x]","5 x^2 \log (5) \log (x)-x^2 \log (x)+19 x \log (5) \log (x)-2 e^3 x \log (x)-9 x \log (x)+20 \log (5) \log (x)-e^6 \log (x)-8 e^3 \log (x)-19 \log (x)","\left(-\left(x+e^3+4\right)^2-x+\left(5 (x+2)^2-x\right) \log (5)-3\right) \log (x)",1,"-19*Log[x] - 8*E^3*Log[x] - E^6*Log[x] - 9*x*Log[x] - 2*E^3*x*Log[x] - x^2*Log[x] + 20*Log[5]*Log[x] + 19*x*Log[5]*Log[x] + 5*x^2*Log[5]*Log[x]","A",1
5228,1,8,24,0.000366,"\int -\frac{4 e^2}{x^3} \, dx","Integrate[(-4*E^2)/x^3,x]","\frac{2 e^2}{x^2}","\frac{e^{4 e^{e^2}} x+\frac{2 e^2}{x}}{x}",1,"(2*E^2)/x^2","A",1
5229,1,22,21,0.1023401,"\int \frac{12+32 x+2 x^5+15 x^6+16 x^7+e^x \left(48-16 x+8 x^5+16 x^6+4 x^7\right)}{x^4} \, dx","Integrate[(12 + 32*x + 2*x^5 + 15*x^6 + 16*x^7 + E^x*(48 - 16*x + 8*x^5 + 16*x^6 + 4*x^7))/x^4,x]","\frac{\left(4 x+4 e^x+1\right) \left(x^6+x^5-4\right)}{x^3}","\left(-\frac{4}{x^4}+x^2+x\right) \left(4 \left(x+e^x\right) x+x\right)",1,"((1 + 4*E^x + 4*x)*(-4 + x^5 + x^6))/x^3","A",1
5230,1,28,31,0.0500266,"\int \frac{-200+40 x+3 x^3+2 x^4+e^{-2+x^2} \left(-x+2 x^3\right)}{2 x^3} \, dx","Integrate[(-200 + 40*x + 3*x^3 + 2*x^4 + E^(-2 + x^2)*(-x + 2*x^3))/(2*x^3),x]","\frac{x^4+3 x^3+\left(e^{x^2-2}-40\right) x+100}{2 x^2}","\frac{1}{2} \left(\frac{e^{x^2-2}}{x}+\left(-x+\frac{10}{x}-2\right)^2-x\right)",1,"(100 + (-40 + E^(-2 + x^2))*x + 3*x^3 + x^4)/(2*x^2)","A",1
5231,1,18,17,0.0024122,"\int \frac{6 e^3-3 x}{e x^3} \, dx","Integrate[(6*E^3 - 3*x)/(E*x^3),x]","\frac{\frac{3}{x}-\frac{3 e^3}{x^2}}{e}","-\frac{3 \left(e^3-x\right)}{e x^2}-2",1,"((-3*E^3)/x^2 + 3/x)/E","A",1
5232,1,24,25,0.0716586,"\int \frac{-160-2 x^2+\left(320-4 x^2\right) \log \left(-\frac{x}{-80+x^2}\right)+\left(-160+2 x^2\right) \log \left(-\frac{x}{-80+x^2}\right) \log \left(x \log \left(-\frac{x}{-80+x^2}\right)\right)}{\left(240 x-3 x^3\right) \log \left(-\frac{x}{-80+x^2}\right)+\left(-80 x+x^3\right) \log \left(-\frac{x}{-80+x^2}\right) \log \left(x \log \left(-\frac{x}{-80+x^2}\right)\right)} \, dx","Integrate[(-160 - 2*x^2 + (320 - 4*x^2)*Log[-(x/(-80 + x^2))] + (-160 + 2*x^2)*Log[-(x/(-80 + x^2))]*Log[x*Log[-(x/(-80 + x^2))]])/((240*x - 3*x^3)*Log[-(x/(-80 + x^2))] + (-80*x + x^3)*Log[-(x/(-80 + x^2))]*Log[x*Log[-(x/(-80 + x^2))]]),x]","2 \left(\log \left(3-\log \left(x \log \left(-\frac{x}{x^2-80}\right)\right)\right)+\log (x)\right)","\log \left(5 x^2 \left(\log \left(x \log \left(\frac{x}{80-x^2}\right)\right)-3\right)^2\right)",1,"2*(Log[x] + Log[3 - Log[x*Log[-(x/(-80 + x^2))]]])","A",1
5233,1,31,27,0.2747679,"\int \frac{-2-6 x+2 x \log (x)+e^{e^{x^2}-x} \left(-93 x+93 x^2-186 e^{x^2} x^3+\left(31 x-31 x^2+62 e^{x^2} x^3\right) \log (x)\right)}{-6 x+2 x \log (x)} \, dx","Integrate[(-2 - 6*x + 2*x*Log[x] + E^(E^x^2 - x)*(-93*x + 93*x^2 - 186*E^x^2*x^3 + (31*x - 31*x^2 + 62*E^x^2*x^3)*Log[x]))/(-6*x + 2*x*Log[x]),x]","\frac{1}{2} \left(31 e^{e^{x^2}-x} x+2 x-2 \log (3-\log (x))\right)","\frac{31}{2} e^{e^{x^2}-x} x+x-\log (5 (\log (x)-3))",1,"(2*x + 31*E^(E^x^2 - x)*x - 2*Log[3 - Log[x]])/2","A",1
5234,1,25,28,0.3744093,"\int \frac{\exp \left(\exp \left(\frac{2 \left(4+x \log \left(2 x+4 x^2+2 x^3\right)\right)}{\log \left(2 x+4 x^2+2 x^3\right)}\right)+4 \exp \left(\frac{4+x \log \left(2 x+4 x^2+2 x^3\right)}{\log \left(2 x+4 x^2+2 x^3\right)}\right) x+4 x^2\right) \left(\left(8 x^2+8 x^3\right) \log ^2\left(2 x+4 x^2+2 x^3\right)+\exp \left(\frac{2 \left(4+x \log \left(2 x+4 x^2+2 x^3\right)\right)}{\log \left(2 x+4 x^2+2 x^3\right)}\right) \left(-8-24 x+\left(2 x+2 x^2\right) \log ^2\left(2 x+4 x^2+2 x^3\right)\right)+\exp \left(\frac{4+x \log \left(2 x+4 x^2+2 x^3\right)}{\log \left(2 x+4 x^2+2 x^3\right)}\right) \left(-16 x-48 x^2+\left(4 x+8 x^2+4 x^3\right) \log ^2\left(2 x+4 x^2+2 x^3\right)\right)\right)}{\left(x+x^2\right) \log ^2\left(2 x+4 x^2+2 x^3\right)} \, dx","Integrate[(E^(E^((2*(4 + x*Log[2*x + 4*x^2 + 2*x^3]))/Log[2*x + 4*x^2 + 2*x^3]) + 4*E^((4 + x*Log[2*x + 4*x^2 + 2*x^3])/Log[2*x + 4*x^2 + 2*x^3])*x + 4*x^2)*((8*x^2 + 8*x^3)*Log[2*x + 4*x^2 + 2*x^3]^2 + E^((2*(4 + x*Log[2*x + 4*x^2 + 2*x^3]))/Log[2*x + 4*x^2 + 2*x^3])*(-8 - 24*x + (2*x + 2*x^2)*Log[2*x + 4*x^2 + 2*x^3]^2) + E^((4 + x*Log[2*x + 4*x^2 + 2*x^3])/Log[2*x + 4*x^2 + 2*x^3])*(-16*x - 48*x^2 + (4*x + 8*x^2 + 4*x^3)*Log[2*x + 4*x^2 + 2*x^3]^2)))/((x + x^2)*Log[2*x + 4*x^2 + 2*x^3]^2),x]","e^{\left(2 x+e^{x+\frac{4}{\log \left(2 x (x+1)^2\right)}}\right)^2}","\exp \left(\left(e^{\frac{4}{\log \left((2 x+2) \left(x^2+x\right)\right)}+x}+2 x\right)^2\right)",1,"E^(E^(x + 4/Log[2*x*(1 + x)^2]) + 2*x)^2","A",1
5235,1,36,25,0.0939857,"\int \frac{-115+122 x+26 x^2+15 x^3+3 x^4+\left(-27 x-36 x^2-6 x^3\right) \log (x)+\left(15 x+3 x^2\right) \log ^2(x)+\left(-15+12 x+3 x^2\right) \log (5+x)}{-115 x^2+112 x^3+42 x^4+3 x^5+\left(115 x-217 x^2-78 x^3-6 x^4\right) \log (x)+\left(105 x+36 x^2+3 x^3\right) \log ^2(x)+\left(-15 x^2-3 x^3+\left(15 x+3 x^2\right) \log (x)\right) \log (5+x)} \, dx","Integrate[(-115 + 122*x + 26*x^2 + 15*x^3 + 3*x^4 + (-27*x - 36*x^2 - 6*x^3)*Log[x] + (15*x + 3*x^2)*Log[x]^2 + (-15 + 12*x + 3*x^2)*Log[5 + x])/(-115*x^2 + 112*x^3 + 42*x^4 + 3*x^5 + (115*x - 217*x^2 - 78*x^3 - 6*x^4)*Log[x] + (105*x + 36*x^2 + 3*x^3)*Log[x]^2 + (-15*x^2 - 3*x^3 + (15*x + 3*x^2)*Log[x])*Log[5 + x]),x]","\log \left(-3 x^2-27 x+3 x \log (x)+21 \log (x)+3 \log (x+5)+23\right)-\log (x-\log (x))","\log \left(x-\frac{-2 x+\log (x+5)+\frac{23}{3}}{x-\log (x)}+7\right)",1,"-Log[x - Log[x]] + Log[23 - 27*x - 3*x^2 + 21*Log[x] + 3*x*Log[x] + 3*Log[5 + x]]","A",1
5236,1,28,24,0.0982583,"\int \frac{10+x+(-20-2 x) \log (x)-2 x \log \left(\frac{1}{3} (20+2 x)\right)+(20+2 x) \log ^2\left(\frac{1}{3} (20+2 x)\right)}{450 x^3+45 x^4} \, dx","Integrate[(10 + x + (-20 - 2*x)*Log[x] - 2*x*Log[(20 + 2*x)/3] + (20 + 2*x)*Log[(20 + 2*x)/3]^2)/(450*x^3 + 45*x^4),x]","\frac{1}{45} \left(\frac{\log (x)}{x^2}-\frac{\log ^2\left(\frac{2 x}{3}+\frac{20}{3}\right)}{x^2}\right)","\frac{\log (x)-\log ^2\left(\frac{1}{3} (2 x+20)\right)}{45 x^2}",1,"(-(Log[20/3 + (2*x)/3]^2/x^2) + Log[x]/x^2)/45","A",1
5237,1,35,27,0.0038586,"\int \frac{e^2 \left(48+32 x+96 x^3+80 x^4+32 x^7\right)}{\log \left(\frac{e^{10}}{9}\right)} \, dx","Integrate[(E^2*(48 + 32*x + 96*x^3 + 80*x^4 + 32*x^7))/Log[E^10/9],x]","-\frac{16 e^2 \left(\frac{x^8}{4}+x^5+\frac{3 x^4}{2}+x^2+3 x\right)}{\log (9)-10}","\frac{4 e^2 \left(\left(x^4+2 x+3\right)^2+1\right)}{\log \left(\frac{e^{10}}{9}\right)}",1,"(-16*E^2*(3*x + x^2 + (3*x^4)/2 + x^5 + x^8/4))/(-10 + Log[9])","A",1
5238,1,15,15,0.0923617,"\int e^{-x} \left(e^x+e^{2 e^{-x} \left(3-15 e^x x\right)} \left(-6-30 e^x\right)\right) \, dx","Integrate[(E^x + E^((2*(3 - 15*E^x*x))/E^x)*(-6 - 30*E^x))/E^x,x]","x+e^{6 \left(e^{-x}-5 x\right)}","x+e^{6 \left(e^{-x}-5 x\right)}",1,"E^(6*(E^(-x) - 5*x)) + x","A",1
5239,1,27,22,0.1212274,"\int \frac{-x+2 x \log (4 x)+(5-18 x) \log ^2(4 x)}{5 \log (4) \log ^2(4 x)} \, dx","Integrate[(-x + 2*x*Log[4*x] + (5 - 18*x)*Log[4*x]^2)/(5*Log[4]*Log[4*x]^2),x]","\frac{-9 x^2+\frac{x^2}{\log (4 x)}+5 x}{5 \log (4)}","\frac{x \left(-9 x+\frac{x}{\log (4 x)}+5\right)}{5 \log (4)}",1,"(5*x - 9*x^2 + x^2/Log[4*x])/(5*Log[4])","A",1
5240,1,22,23,0.0017532,"\int \frac{1}{5} e^{-e^{24}} \left(e^5+6 x\right) \, dx","Integrate[(E^5 + 6*x)/(5*E^E^24),x]","\frac{1}{5} e^{-e^{24}} \left(3 x^2+e^5 x\right)","\frac{1}{5} e^{-e^{24}} \left(\frac{e^5}{x}+3\right) x^2",1,"(E^5*x + 3*x^2)/(5*E^E^24)","A",1
5241,1,21,23,0.1983594,"\int \frac{(100-100 x) \log ^2(x)+100 x \log ^3(x)+\left((200-200 x) \log (x)+100 x \log ^2(x)\right) \log ^2(\log (4))}{\left(x-2 x^2+x^3\right) \log ^2(x)+\left(2 x-4 x^2+2 x^3\right) \log (x) \log ^2(\log (4))+\left(x-2 x^2+x^3\right) \log ^4(\log (4))} \, dx","Integrate[((100 - 100*x)*Log[x]^2 + 100*x*Log[x]^3 + ((200 - 200*x)*Log[x] + 100*x*Log[x]^2)*Log[Log[4]]^2)/((x - 2*x^2 + x^3)*Log[x]^2 + (2*x - 4*x^2 + 2*x^3)*Log[x]*Log[Log[4]]^2 + (x - 2*x^2 + x^3)*Log[Log[4]]^4),x]","-\frac{100 \log ^2(x)}{(x-1) \left(\log (x)+\log ^2(\log (4))\right)}","\frac{100 \log ^2(x)}{(1-x) \left(\log (x)+\log ^2(\log (4))\right)}",1,"(-100*Log[x]^2)/((-1 + x)*(Log[x] + Log[Log[4]]^2))","A",1
5242,1,47,28,0.7599069,"\int \frac{e^{-1-4 x-x^2} \left(-2560-11520 x-8960 x^2-3200 x^3+e^{1+4 x+x^2} \left(320 x^3+1200 x^4+1500 x^5+625 x^6\right)\right)}{64 x^3+240 x^4+300 x^5+125 x^6} \, dx","Integrate[(E^(-1 - 4*x - x^2)*(-2560 - 11520*x - 8960*x^2 - 3200*x^3 + E^(1 + 4*x + x^2)*(320*x^3 + 1200*x^4 + 1500*x^5 + 625*x^6)))/(64*x^3 + 240*x^4 + 300*x^5 + 125*x^6),x]","\frac{5 e^{-x^2-4 x-1} \left(e^{x^2+4 x+1} (5 x+4)^2 x^3+64\right)}{x^2 (5 x+4)^2}","5 \left(\frac{4 e^{3-(x+2)^2}}{\left(\frac{5 x^2}{4}+x\right)^2}+x\right)",1,"(5*E^(-1 - 4*x - x^2)*(64 + E^(1 + 4*x + x^2)*x^3*(4 + 5*x)^2))/(x^2*(4 + 5*x)^2)","A",1
5243,1,17,14,0.093681,"\int \frac{3+2 x+(-9-12 x+(3+4 x) \log (x)) \log (3-\log (x))}{-6+2 \log (x)} \, dx","Integrate[(3 + 2*x + (-9 - 12*x + (3 + 4*x)*Log[x])*Log[3 - Log[x]])/(-6 + 2*Log[x]),x]","\frac{1}{2} x (2 x+3) \log (3-\log (x))","x \left(x+\frac{3}{2}\right) \log (3-\log (x))",1,"(x*(3 + 2*x)*Log[3 - Log[x]])/2","A",1
5244,1,13,16,0.0029961,"\int \frac{e^{e^4} \left(1+x+2 x^2\right)}{x} \, dx","Integrate[(E^E^4*(1 + x + 2*x^2))/x,x]","e^{e^4} \left(x^2+x+\log (x)\right)","e^{e^4} \left(x^2+x+\log (x)+3+\log (625)\right)",1,"E^E^4*(x + x^2 + Log[x])","A",1
5245,1,70,27,0.0544279,"\int \frac{-324+29 x^2+20 x^3+3 x^4+e^8 \left(-81+2 x^2\right)+e^4 \left(-324+14 x^2+4 x^3\right)}{324 x+72 x^2+29 x^3+10 x^4+x^5+e^8 \left(81 x+18 x^2+2 x^3\right)+e^4 \left(324 x+72 x^2+14 x^3+2 x^4\right)} \, dx","Integrate[(-324 + 29*x^2 + 20*x^3 + 3*x^4 + E^8*(-81 + 2*x^2) + E^4*(-324 + 14*x^2 + 4*x^3))/(324*x + 72*x^2 + 29*x^3 + 10*x^4 + x^5 + E^8*(81*x + 18*x^2 + 2*x^3) + E^4*(324*x + 72*x^2 + 14*x^3 + 2*x^4)),x]","\log \left(x^4+2 e^4 x^3+10 x^3+2 e^8 x^2+14 e^4 x^2+29 x^2+18 e^8 x+72 e^4 x+72 x+81 e^8+324 e^4+324\right)-\log (x)","\log \left(\frac{(x+9)^2+\left(\frac{(x+3) x}{2+e^4}+x\right)^2}{x}\right)",1,"-Log[x] + Log[324 + 324*E^4 + 81*E^8 + 72*x + 72*E^4*x + 18*E^8*x + 29*x^2 + 14*E^4*x^2 + 2*E^8*x^2 + 10*x^3 + 2*E^4*x^3 + x^4]","B",1
5246,1,34,23,0.0841957,"\int \frac{-240 e^2+e^{6 x} \left(240 x-2 x^3\right)+e^3 \left(-240 x+2 x^3\right)+e^{2 x} \left(e^2 \left(720 x-6 x^3\right)+e \left(480+4 x^3\right)\right)+e^{4 x} \left(-240-4 x^3+e \left(-720 x+6 x^3\right)\right)}{e^{\frac{120}{x^2}+6 x} x^6+e^{\frac{120}{x^2}+4 x} \left(-3 x^5-3 e x^6\right)+e^{\frac{120}{x^2}+2 x} \left(3 x^4+6 e x^5+3 e^2 x^6\right)+e^{\frac{120}{x^2}} \left(-x^3-3 e x^4-3 e^2 x^5-e^3 x^6\right)} \, dx","Integrate[(-240*E^2 + E^(6*x)*(240*x - 2*x^3) + E^3*(-240*x + 2*x^3) + E^(2*x)*(E^2*(720*x - 6*x^3) + E*(480 + 4*x^3)) + E^(4*x)*(-240 - 4*x^3 + E*(-720*x + 6*x^3)))/(E^(120/x^2 + 6*x)*x^6 + E^(120/x^2 + 4*x)*(-3*x^5 - 3*E*x^6) + E^(120/x^2 + 2*x)*(3*x^4 + 6*E*x^5 + 3*E^2*x^6) + E^(120/x^2)*(-x^3 - 3*E*x^4 - 3*E^2*x^5 - E^3*x^6)),x]","\frac{e^{-\frac{120}{x^2}} \left(e-e^{2 x}\right)^2}{\left(-e^{2 x} x+e x+1\right)^2}","\frac{e^{-\frac{120}{x^2}}}{\left(x+\frac{1}{e-e^{2 x}}\right)^2}",1,"(E - E^(2*x))^2/(E^(120/x^2)*(1 + E*x - E^(2*x)*x)^2)","A",1
5247,1,12,29,0.0036184,"\int \left(-e^x+x^3+4 x^3 \log (x)\right) \, dx","Integrate[-E^x + x^3 + 4*x^3*Log[x],x]","x^4 \log (x)-e^x","x^4 \log (x)-e^x+\left(e^{\frac{3}{e^{e^4}-5}}-4\right)^2",1,"-E^x + x^4*Log[x]","A",1
5248,1,18,26,0.0143926,"\int \frac{-1+4 x^2+e^{x^2} \left(-2 x-4 x^3\right)}{x} \, dx","Integrate[(-1 + 4*x^2 + E^x^2*(-2*x - 4*x^3))/x,x]","2 x^2-2 e^{x^2} x-\log (x)","\log \left(\frac{60 e^{2 x \left(x-e^{x^2}\right)-e^2}}{x}\right)",1,"-2*E^x^2*x + 2*x^2 - Log[x]","A",1
5249,1,71,29,1.1136168,"\int \frac{-6-6 e^x+\left(2+2 e^x\right) \log (x)+\exp \left(\frac{1}{2} \left(9+12 \log \left(e^3 x+e^{3+x} x\right)+4 \log ^2\left(e^3 x+e^{3+x} x\right)\right)\right) \left(96+e^x (96+96 x)+\left(64+e^x (64+64 x)\right) \log \left(e^3 x+e^{3+x} x\right)\right)+\exp \left(\frac{1}{4} \left(9+12 \log \left(e^3 x+e^{3+x} x\right)+4 \log ^2\left(e^3 x+e^{3+x} x\right)\right)\right) \left(64+e^x (64+72 x)+\left(-24+e^x (-24-24 x)\right) \log (x)+\left(48+e^x (48+48 x)+\left(-16+e^x (-16-16 x)\right) \log (x)\right) \log \left(e^3 x+e^{3+x} x\right)\right)}{x+e^x x} \, dx","Integrate[(-6 - 6*E^x + (2 + 2*E^x)*Log[x] + E^((9 + 12*Log[E^3*x + E^(3 + x)*x] + 4*Log[E^3*x + E^(3 + x)*x]^2)/2)*(96 + E^x*(96 + 96*x) + (64 + E^x*(64 + 64*x))*Log[E^3*x + E^(3 + x)*x]) + E^((9 + 12*Log[E^3*x + E^(3 + x)*x] + 4*Log[E^3*x + E^(3 + x)*x]^2)/4)*(64 + E^x*(64 + 72*x) + (-24 + E^x*(-24 - 24*x))*Log[x] + (48 + E^x*(48 + 48*x) + (-16 + E^x*(-16 - 16*x))*Log[x])*Log[E^3*x + E^(3 + x)*x]))/(x + E^x*x),x]","16 \left(e^x+1\right)^{18} x^{18} e^{2 \log ^2\left(\left(e^x+1\right) x\right)+\frac{81}{2}}-8 \left(e^x+1\right)^9 x^9 e^{\log ^2\left(\left(e^x+1\right) x\right)+\frac{81}{4}} (\log (x)-3)+\log ^2(x)-6 \log (x)","\left(-\log (x)+4 e^{\left(\log \left(e^3 \left(e^x+1\right) x\right)+\frac{3}{2}\right)^2}+3\right)^2",1,"16*E^(81/2 + 2*Log[(1 + E^x)*x]^2)*(1 + E^x)^18*x^18 - 8*E^(81/4 + Log[(1 + E^x)*x]^2)*(1 + E^x)^9*x^9*(-3 + Log[x]) - 6*Log[x] + Log[x]^2","B",1
5250,1,23,27,0.3171733,"\int \frac{-9+6 x^2 \log (4 x)+3 x^2 \log ^2(4 x)+12 \log \left(e^{10} x\right)}{1+2 x+x^2+\left(-2 x^2-2 x^3\right) \log ^2(4 x)+x^4 \log ^4(4 x)+\left(8+8 x-8 x^2 \log ^2(4 x)\right) \log \left(e^{10} x\right)+16 \log ^2\left(e^{10} x\right)} \, dx","Integrate[(-9 + 6*x^2*Log[4*x] + 3*x^2*Log[4*x]^2 + 12*Log[E^10*x])/(1 + 2*x + x^2 + (-2*x^2 - 2*x^3)*Log[4*x]^2 + x^4*Log[4*x]^4 + (8 + 8*x - 8*x^2*Log[4*x]^2)*Log[E^10*x] + 16*Log[E^10*x]^2),x]","\frac{3 x}{-x^2 \log ^2(4 x)+x+4 \log (x)+41}","\frac{3 x}{-x^2 \log ^2(4 x)+x+4 \log \left(e^{10} x\right)+1}",1,"(3*x)/(41 + x + 4*Log[x] - x^2*Log[4*x]^2)","A",1
5251,1,31,37,1.4777087,"\int \frac{-\log ^2(x)+\exp \left(\exp \left(\frac{x+\left(-8 x-4 x^2-4 \log (4)\right) \log (x)}{\log (x)}\right)+\frac{x+\left(-8 x-4 x^2-4 \log (4)\right) \log (x)}{\log (x)}\right) \left(4-4 \log (x)+(32+32 x) \log ^2(x)\right)}{4 \log ^2(x)} \, dx","Integrate[(-Log[x]^2 + E^(E^((x + (-8*x - 4*x^2 - 4*Log[4])*Log[x])/Log[x]) + (x + (-8*x - 4*x^2 - 4*Log[4])*Log[x])/Log[x])*(4 - 4*Log[x] + (32 + 32*x)*Log[x]^2))/(4*Log[x]^2),x]","-e^{\frac{1}{256} e^{-4 x^2-8 x+\frac{x}{\log (x)}}}-\frac{x}{4}","-e^{e^{4 \left(-x^2-2 x+\frac{x}{4 \log (x)}-\log (4)\right)}}-\frac{x}{4}+4",1,"-E^(E^(-8*x - 4*x^2 + x/Log[x])/256) - x/4","A",1
5252,0,0,31,0.7016515,"\int \frac{4^{-5+e^{5 e x}} \left(e^{-\frac{-5+x^2}{x}}\right)^{-5+e^{5 e x}} \left(25+5 x^2+e^{5 e x} \left(-5-x^2\right)+5 e^{1+5 e x} x^2 \log \left(4 e^{-\frac{-5+x^2}{x}}\right)\right)}{x^2} \, dx","Integrate[(4^(-5 + E^(5*E*x))*(E^(-((-5 + x^2)/x)))^(-5 + E^(5*E*x))*(25 + 5*x^2 + E^(5*E*x)*(-5 - x^2) + 5*E^(1 + 5*E*x)*x^2*Log[4/E^((-5 + x^2)/x)]))/x^2,x]","\int \frac{4^{-5+e^{5 e x}} \left(e^{-\frac{-5+x^2}{x}}\right)^{-5+e^{5 e x}} \left(25+5 x^2+e^{5 e x} \left(-5-x^2\right)+5 e^{1+5 e x} x^2 \log \left(4 e^{-\frac{-5+x^2}{x}}\right)\right)}{x^2} \, dx","4^{e^{5 e x}-5} \left(e^{\frac{5}{x}-x}\right)^{e^{5 e x}-5}",1,"Integrate[(4^(-5 + E^(5*E*x))*(E^(-((-5 + x^2)/x)))^(-5 + E^(5*E*x))*(25 + 5*x^2 + E^(5*E*x)*(-5 - x^2) + 5*E^(1 + 5*E*x)*x^2*Log[4/E^((-5 + x^2)/x)]))/x^2, x]","F",-1
5253,1,24,25,0.21044,"\int \left(1+e^{e^{\frac{1}{2} \left(20+x^2\right)}-x+x^2} \left(1-2 x-e^{\frac{1}{2} \left(20+x^2\right)} x\right)\right) \, dx","Integrate[1 + E^(E^((20 + x^2)/2) - x + x^2)*(1 - 2*x - E^((20 + x^2)/2)*x),x]","x-e^{x^2+e^{\frac{x^2}{2}+10}-x}","-e^{x^2+e^{\frac{x^2}{2}+10}-x}+x-1",1,"-E^(E^(10 + x^2/2) - x + x^2) + x","A",1
5254,1,23,23,0.0740138,"\int \frac{6 e^2+e^{\frac{1}{3} (1+4 x)} \left(100-80 x+16 x^2\right)}{75-60 x+12 x^2} \, dx","Integrate[(6*E^2 + E^((1 + 4*x)/3)*(100 - 80*x + 16*x^2))/(75 - 60*x + 12*x^2),x]","e^{\frac{4 x}{3}+\frac{1}{3}}+\frac{e^2}{5-2 x}","e^{x+\frac{x+1}{3}}+\frac{e^2}{5-2 x}",1,"E^(1/3 + (4*x)/3) + E^2/(5 - 2*x)","A",1
5255,1,77,33,1.7622224,"\int \frac{\exp \left(\exp \left(\frac{153-24 x+x^2-120 x^3+10 x^4+25 x^6+e^{10} \left(17-16 x+4 x^2\right)+e^5 \left(-102+56 x-4 x^2+40 x^3-20 x^4\right)}{9 x-6 e^5 x+e^{10} x}\right)+\frac{153-24 x+x^2-120 x^3+10 x^4+25 x^6+e^{10} \left(17-16 x+4 x^2\right)+e^5 \left(-102+56 x-4 x^2+40 x^3-20 x^4\right)}{9 x-6 e^5 x+e^{10} x}\right) \left(-153+x^2-240 x^3+30 x^4+125 x^6+e^{10} \left(-17+4 x^2\right)+e^5 \left(102-4 x^2+80 x^3-60 x^4\right)\right)}{9 x^2-6 e^5 x^2+e^{10} x^2} \, dx","Integrate[(E^(E^((153 - 24*x + x^2 - 120*x^3 + 10*x^4 + 25*x^6 + E^10*(17 - 16*x + 4*x^2) + E^5*(-102 + 56*x - 4*x^2 + 40*x^3 - 20*x^4))/(9*x - 6*E^5*x + E^10*x)) + (153 - 24*x + x^2 - 120*x^3 + 10*x^4 + 25*x^6 + E^10*(17 - 16*x + 4*x^2) + E^5*(-102 + 56*x - 4*x^2 + 40*x^3 - 20*x^4))/(9*x - 6*E^5*x + E^10*x))*(-153 + x^2 - 240*x^3 + 30*x^4 + 125*x^6 + E^10*(-17 + 4*x^2) + E^5*(102 - 4*x^2 + 80*x^3 - 60*x^4)))/(9*x^2 - 6*E^5*x^2 + E^10*x^2),x]","\exp \left(\exp \left(\frac{25 x^6+10 x^4-120 x^3+x^2+e^{10} \left(4 x^2-16 x+17\right)-2 e^5 \left(10 x^4-20 x^3+2 x^2-28 x+51\right)-24 x+153}{\left(e^5-3\right)^2 x}\right)\right)","\exp \left(e^{\frac{\left(-\frac{5 \left(x^3-x\right)}{e^5-3}+2 x-4\right)^2+1}{x}}\right)",1,"E^E^((153 - 24*x + x^2 - 120*x^3 + 10*x^4 + 25*x^6 + E^10*(17 - 16*x + 4*x^2) - 2*E^5*(51 - 28*x + 2*x^2 - 20*x^3 + 10*x^4))/((-3 + E^5)^2*x))","B",1
5256,1,15,19,0.001342,"\int (-45+4 \log (x)+16 \log (\log (4))) \, dx","Integrate[-45 + 4*Log[x] + 16*Log[Log[4]],x]","-49 x+4 x \log (x)+16 x \log (\log (4))","4 x (\log (x)-4 (3-\log (\log (4))))-x",1,"-49*x + 4*x*Log[x] + 16*x*Log[Log[4]]","A",1
5257,1,18,21,0.7454423,"\int \frac{e^{\log \left(5-e^{x+x^2}\right) \log \left(-\frac{x}{4}\right)} \left(\left(-5+e^{x+x^2}\right) \log \left(5-e^{x+x^2}\right)+e^{x+x^2} \left(x+2 x^2\right) \log \left(-\frac{x}{4}\right)\right)}{-5 x+e^{x+x^2} x} \, dx","Integrate[(E^(Log[5 - E^(x + x^2)]*Log[-1/4*x])*((-5 + E^(x + x^2))*Log[5 - E^(x + x^2)] + E^(x + x^2)*(x + 2*x^2)*Log[-1/4*x]))/(-5*x + E^(x + x^2)*x),x]","\left(5-e^{x^2+x}\right)^{\log \left(-\frac{x}{4}\right)}","e^{\log \left(5-e^{x^2+x}\right) \log \left(-\frac{x}{4}\right)}",1,"(5 - E^(x + x^2))^Log[-1/4*x]","A",1
5258,0,0,25,0.4294811,"\int \frac{e^{e^3+x-\log ^2\left(\frac{1}{2} (x+2 \log (4))\right)} \left(x+2 \log (4)-2 \log \left(\frac{1}{2} (x+2 \log (4))\right)\right)}{x+2 \log (4)} \, dx","Integrate[(E^(E^3 + x - Log[(x + 2*Log[4])/2]^2)*(x + 2*Log[4] - 2*Log[(x + 2*Log[4])/2]))/(x + 2*Log[4]),x]","\int \frac{e^{e^3+x-\log ^2\left(\frac{1}{2} (x+2 \log (4))\right)} \left(x+2 \log (4)-2 \log \left(\frac{1}{2} (x+2 \log (4))\right)\right)}{x+2 \log (4)} \, dx","e^{x-\log ^2\left(\frac{x}{2}+\log (4)\right)+e^3}+\log ^2(3)",1,"Integrate[(E^(E^3 + x - Log[(x + 2*Log[4])/2]^2)*(x + 2*Log[4] - 2*Log[(x + 2*Log[4])/2]))/(x + 2*Log[4]), x]","F",-1
5259,1,19,19,0.0916426,"\int \frac{-x-625 x^5-\log (2)+\left(2500 x^5-\log (2)\right) \log (5 x)}{x^2 \log ^2(5 x)} \, dx","Integrate[(-x - 625*x^5 - Log[2] + (2500*x^5 - Log[2])*Log[5*x])/(x^2*Log[5*x]^2),x]","\frac{625 x^5+x+\log (2)}{x \log (5 x)}","\frac{625 x^5+x+\log (2)}{x \log (5 x)}",1,"(x + 625*x^5 + Log[2])/(x*Log[5*x])","A",1
5260,1,72,29,3.5234309,"\int \frac{-15 e^x+6 e^{2 x} x}{50+e^x \left(45-20 e^2+20 x^2\right)+e^{2 x} \left(9+2 e^4+9 x^2+2 x^4+e^2 \left(-9-4 x^2\right)\right)+\left(-20 e^x+e^{2 x} \left(-9+4 e^2-4 x^2\right)\right) \log (\log (4))+2 e^{2 x} \log ^2(\log (4))} \, dx","Integrate[(-15*E^x + 6*E^(2*x)*x)/(50 + E^x*(45 - 20*E^2 + 20*x^2) + E^(2*x)*(9 + 2*E^4 + 9*x^2 + 2*x^4 + E^2*(-9 - 4*x^2)) + (-20*E^x + E^(2*x)*(-9 + 4*E^2 - 4*x^2))*Log[Log[4]] + 2*E^(2*x)*Log[Log[4]]^2),x]","3 \left(\frac{1}{3} \log \left(2 e^x x^2+3 e^x-2 e^{x+2}-2 e^x \log (\log (4))+10\right)-\frac{1}{3} \log \left(e^x x^2+3 e^x-e^{x+2}-e^x \log (\log (4))+5\right)\right)","\log \left(\frac{3}{-x^2-5 e^{-x}+e^2-3+\log (\log (4))}+2\right)+4",1,"3*(Log[10 + 3*E^x - 2*E^(2 + x) + 2*E^x*x^2 - 2*E^x*Log[Log[4]]]/3 - Log[5 + 3*E^x - E^(2 + x) + E^x*x^2 - E^x*Log[Log[4]]]/3)","B",1
5261,1,52,31,0.7813929,"\int \frac{\exp \left(\frac{50 e^6 x^2+20 e^7 x^2+2 e^8 x^2}{x^2+e^3 \left(40 x-40 x^2\right)+e^8 \left(16-32 x+16 x^2\right)+e^6 \left(400-800 x+400 x^2\right)+e^{2 x} \left(25 e^6 x^2+10 e^7 x^2+e^8 x^2\right)+e^4 \left(8 x-8 x^2+e^3 \left(160-320 x+160 x^2\right)\right)+e^x \left(-10 e^3 x^2+e^8 \left(-8 x+8 x^2\right)+e^6 \left(-200 x+200 x^2\right)+e^4 \left(-2 x^2+e^3 \left(-80 x+80 x^2\right)\right)\right)}\right) \left(-2000 e^9 x-1200 e^{10} x-240 e^{11} x-16 e^{12} x+e^x \left(-500 e^9 x^3-300 e^{10} x^3-60 e^{11} x^3-4 e^{12} x^3\right)\right)}{-x^3+e^6 \left(-1200 x+2400 x^2-1200 x^3\right)+e^3 \left(-60 x^2+60 x^3\right)+e^{12} \left(-64+192 x-192 x^2+64 x^3\right)+e^9 \left(-8000+24000 x-24000 x^2+8000 x^3\right)+e^{3 x} \left(125 e^9 x^3+75 e^{10} x^3+15 e^{11} x^3+e^{12} x^3\right)+e^8 \left(-48 x+96 x^2-48 x^3+e^3 \left(-960+2880 x-2880 x^2+960 x^3\right)\right)+e^4 \left(-12 x^2+12 x^3+e^3 \left(-480 x+960 x^2-480 x^3\right)+e^6 \left(-4800+14400 x-14400 x^2+4800 x^3\right)\right)+e^{2 x} \left(-75 e^6 x^3+e^{12} \left(-12 x^2+12 x^3\right)+e^9 \left(-1500 x^2+1500 x^3\right)+e^8 \left(-3 x^3+e^3 \left(-180 x^2+180 x^3\right)\right)+e^4 \left(-30 e^3 x^3+e^6 \left(-900 x^2+900 x^3\right)\right)\right)+e^x \left(15 e^3 x^3+e^6 \left(600 x^2-600 x^3\right)+e^{12} \left(48 x-96 x^2+48 x^3\right)+e^9 \left(6000 x-12000 x^2+6000 x^3\right)+e^8 \left(24 x^2-24 x^3+e^3 \left(720 x-1440 x^2+720 x^3\right)\right)+e^4 \left(3 x^3+e^3 \left(240 x^2-240 x^3\right)+e^6 \left(3600 x-7200 x^2+3600 x^3\right)\right)\right)} \, dx","Integrate[(E^((50*E^6*x^2 + 20*E^7*x^2 + 2*E^8*x^2)/(x^2 + E^3*(40*x - 40*x^2) + E^8*(16 - 32*x + 16*x^2) + E^6*(400 - 800*x + 400*x^2) + E^(2*x)*(25*E^6*x^2 + 10*E^7*x^2 + E^8*x^2) + E^4*(8*x - 8*x^2 + E^3*(160 - 320*x + 160*x^2)) + E^x*(-10*E^3*x^2 + E^8*(-8*x + 8*x^2) + E^6*(-200*x + 200*x^2) + E^4*(-2*x^2 + E^3*(-80*x + 80*x^2)))))*(-2000*E^9*x - 1200*E^10*x - 240*E^11*x - 16*E^12*x + E^x*(-500*E^9*x^3 - 300*E^10*x^3 - 60*E^11*x^3 - 4*E^12*x^3)))/(-x^3 + E^6*(-1200*x + 2400*x^2 - 1200*x^3) + E^3*(-60*x^2 + 60*x^3) + E^12*(-64 + 192*x - 192*x^2 + 64*x^3) + E^9*(-8000 + 24000*x - 24000*x^2 + 8000*x^3) + E^(3*x)*(125*E^9*x^3 + 75*E^10*x^3 + 15*E^11*x^3 + E^12*x^3) + E^8*(-48*x + 96*x^2 - 48*x^3 + E^3*(-960 + 2880*x - 2880*x^2 + 960*x^3)) + E^4*(-12*x^2 + 12*x^3 + E^3*(-480*x + 960*x^2 - 480*x^3) + E^6*(-4800 + 14400*x - 14400*x^2 + 4800*x^3)) + E^(2*x)*(-75*E^6*x^3 + E^12*(-12*x^2 + 12*x^3) + E^9*(-1500*x^2 + 1500*x^3) + E^8*(-3*x^3 + E^3*(-180*x^2 + 180*x^3)) + E^4*(-30*E^3*x^3 + E^6*(-900*x^2 + 900*x^3))) + E^x*(15*E^3*x^3 + E^6*(600*x^2 - 600*x^3) + E^12*(48*x - 96*x^2 + 48*x^3) + E^9*(6000*x - 12000*x^2 + 6000*x^3) + E^8*(24*x^2 - 24*x^3 + E^3*(720*x - 1440*x^2 + 720*x^3)) + E^4*(3*x^3 + E^3*(240*x^2 - 240*x^3) + E^6*(3600*x - 7200*x^2 + 3600*x^3)))),x]","\exp \left(\frac{2 e^6 (5+e)^2 x^2}{\left(4 e^4 (x-1)+20 e^3 (x-1)+5 e^{x+3} x+e^{x+4} x-x\right)^2}\right)","e^{\frac{2}{\left(-\frac{\frac{x}{5 e^3+e^4}+4}{x}+e^x+4\right)^2}}",1,"E^((2*E^6*(5 + E)^2*x^2)/(20*E^3*(-1 + x) + 4*E^4*(-1 + x) - x + 5*E^(3 + x)*x + E^(4 + x)*x)^2)","A",1
5262,1,67,38,0.5025105,"\int \frac{-125 x^4-75 e^{x^2} x^4-15 e^{2 x^2} x^4-e^{3 x^2} x^4+\left(250 x^3+250 x^4+e^{3 x^2} \left(2 x^3+2 x^4\right)+e^{2 x^2} \left(30 x^3+30 x^4\right)+e^{x^2} \left(150 x^3+150 x^4\right)\right) \log (1+x)+\left(625+625 x-9650 x^2-9650 x^3+e^{3 x^2} \left(-85 x^2-85 x^3\right)+e^{x^2} \left(125+125 x-5480 x^2-3680 x^3+1420 x^4-380 x^5\right)+e^{2 x^2} \left(-1235 x^2-835 x^3+320 x^4-80 x^5\right)\right) \log ^2(1+x)}{\left(625 x^2+625 x^3+e^{3 x^2} \left(5 x^2+5 x^3\right)+e^{2 x^2} \left(75 x^2+75 x^3\right)+e^{x^2} \left(375 x^2+375 x^3\right)\right) \log ^2(1+x)} \, dx","Integrate[(-125*x^4 - 75*E^x^2*x^4 - 15*E^(2*x^2)*x^4 - E^(3*x^2)*x^4 + (250*x^3 + 250*x^4 + E^(3*x^2)*(2*x^3 + 2*x^4) + E^(2*x^2)*(30*x^3 + 30*x^4) + E^x^2*(150*x^3 + 150*x^4))*Log[1 + x] + (625 + 625*x - 9650*x^2 - 9650*x^3 + E^(3*x^2)*(-85*x^2 - 85*x^3) + E^x^2*(125 + 125*x - 5480*x^2 - 3680*x^3 + 1420*x^4 - 380*x^5) + E^(2*x^2)*(-1235*x^2 - 835*x^3 + 320*x^4 - 80*x^5))*Log[1 + x]^2)/((625*x^2 + 625*x^3 + E^(3*x^2)*(5*x^2 + 5*x^3) + E^(2*x^2)*(75*x^2 + 75*x^3) + E^x^2*(375*x^2 + 375*x^3))*Log[1 + x]^2),x]","-\frac{2}{5} \text{Ei}(\log (x+1))+\frac{2 \text{li}(x+1)}{5}-\frac{(x-5)^2}{\left(e^{x^2}+5\right)^2 x}+\frac{8 (x-5)}{e^{x^2}+5}+\frac{x^2}{5 \log (x+1)}-17 x","x \left(-\left(4-\frac{x-5}{\left(e^{x^2}+5\right) x}\right)^2+\frac{x}{5 \log (x+1)}-1\right)",1,"(8*(-5 + x))/(5 + E^x^2) - (-5 + x)^2/((5 + E^x^2)^2*x) - 17*x - (2*ExpIntegralEi[Log[1 + x]])/5 + x^2/(5*Log[1 + x]) + (2*LogIntegral[1 + x])/5","C",1
5263,1,42,20,0.1110426,"\int \frac{(-16-2 x) \log ^2(x)+\left(16 x+2 x^2+2 x^3\right) \log \left(\frac{8+x}{4}\right)+\log (x) \left(16+2 x+2 x^2+\left(-16 x-2 x^2\right) \log \left(\frac{8+x}{4}\right)\right)}{8 x^3+x^4} \, dx","Integrate[((-16 - 2*x)*Log[x]^2 + (16*x + 2*x^2 + 2*x^3)*Log[(8 + x)/4] + Log[x]*(16 + 2*x + 2*x^2 + (-16*x - 2*x^2)*Log[(8 + x)/4]))/(8*x^3 + x^4),x]","2 \left(\frac{\log ^2(x)}{2 x^2}+\frac{1}{2} \log ^2\left(\frac{x+8}{4}\right)+\frac{\log \left(\frac{x+8}{4}\right) \log (x)}{x}\right)","\left(-\log \left(\frac{x}{4}+2\right)-\frac{\log (x)}{x}\right)^2",1,"2*(Log[x]^2/(2*x^2) + (Log[x]*Log[(8 + x)/4])/x + Log[(8 + x)/4]^2/2)","B",1
5264,1,495,30,0.7963668,"\int \frac{-1000 x^2-600 x^3-620 x^4-308 x^5-60 x^6-4 x^7+\left(40 x-1192 x^2-660 x^3-1124 x^4-608 x^5-120 x^6-8 x^7+\left(20 x-96 x^2-30 x^3-2 x^4\right) \log (2)\right) \log (5)+\left(8 x-200 x^2-60 x^3-504 x^4-300 x^5-60 x^6-4 x^7+\left(8 x-100 x^2-30 x^3-2 x^4\right) \log (2)+2 x \log ^2(2)\right) \log ^2(5)+\left(\left(-80-16 x-40 x^2-8 x^3+\left(-40-8 x-20 x^2-4 x^3\right) \log (2)\right) \log (5)+\left(-16-40 x^2-8 x^3+\left(-16-20 x^2-4 x^3\right) \log (2)-4 \log ^2(2)\right) \log ^2(5)\right) \log (x)+\left(600 x^2+240 x^3+324 x^4+120 x^5+12 x^6+\left(-8 x+680 x^2+252 x^3+624 x^4+240 x^5+24 x^6+\left(-4 x+40 x^2+6 x^3\right) \log (2)\right) \log (5)+\left(80 x^2+12 x^3+300 x^4+120 x^5+12 x^6+\left(40 x^2+6 x^3\right) \log (2)\right) \log ^2(5)\right) \log ^2(x)+\left(\left(16+8 x^2+\left(8+4 x^2\right) \log (2)\right) \log (5)+\left(8 x^2+4 x^2 \log (2)\right) \log ^2(5)\right) \log ^3(x)+\left(-120 x^2-24 x^3-60 x^4-12 x^5+\left(-128 x^2-24 x^3-120 x^4-24 x^5-4 x^2 \log (2)\right) \log (5)+\left(-8 x^2-60 x^4-12 x^5-4 x^2 \log (2)\right) \log ^2(5)\right) \log ^4(x)+\left(8 x^2+4 x^4+\left(8 x^2+8 x^4\right) \log (5)+4 x^4 \log ^2(5)\right) \log ^6(x)}{-125 x-75 x^2-15 x^3-x^4+\left(75 x+30 x^2+3 x^3\right) \log ^2(x)+\left(-15 x-3 x^2\right) \log ^4(x)+x \log ^6(x)} \, dx","Integrate[(-1000*x^2 - 600*x^3 - 620*x^4 - 308*x^5 - 60*x^6 - 4*x^7 + (40*x - 1192*x^2 - 660*x^3 - 1124*x^4 - 608*x^5 - 120*x^6 - 8*x^7 + (20*x - 96*x^2 - 30*x^3 - 2*x^4)*Log[2])*Log[5] + (8*x - 200*x^2 - 60*x^3 - 504*x^4 - 300*x^5 - 60*x^6 - 4*x^7 + (8*x - 100*x^2 - 30*x^3 - 2*x^4)*Log[2] + 2*x*Log[2]^2)*Log[5]^2 + ((-80 - 16*x - 40*x^2 - 8*x^3 + (-40 - 8*x - 20*x^2 - 4*x^3)*Log[2])*Log[5] + (-16 - 40*x^2 - 8*x^3 + (-16 - 20*x^2 - 4*x^3)*Log[2] - 4*Log[2]^2)*Log[5]^2)*Log[x] + (600*x^2 + 240*x^3 + 324*x^4 + 120*x^5 + 12*x^6 + (-8*x + 680*x^2 + 252*x^3 + 624*x^4 + 240*x^5 + 24*x^6 + (-4*x + 40*x^2 + 6*x^3)*Log[2])*Log[5] + (80*x^2 + 12*x^3 + 300*x^4 + 120*x^5 + 12*x^6 + (40*x^2 + 6*x^3)*Log[2])*Log[5]^2)*Log[x]^2 + ((16 + 8*x^2 + (8 + 4*x^2)*Log[2])*Log[5] + (8*x^2 + 4*x^2*Log[2])*Log[5]^2)*Log[x]^3 + (-120*x^2 - 24*x^3 - 60*x^4 - 12*x^5 + (-128*x^2 - 24*x^3 - 120*x^4 - 24*x^5 - 4*x^2*Log[2])*Log[5] + (-8*x^2 - 60*x^4 - 12*x^5 - 4*x^2*Log[2])*Log[5]^2)*Log[x]^4 + (8*x^2 + 4*x^4 + (8*x^2 + 8*x^4)*Log[5] + 4*x^4*Log[5]^2)*Log[x]^6)/(-125*x - 75*x^2 - 15*x^3 - x^4 + (75*x + 30*x^2 + 3*x^3)*Log[x]^2 + (-15*x - 3*x^2)*Log[x]^4 + x*Log[x]^6),x]","x^4 (1+\log (5))^2+4 x^2 (1+\log (5))+\frac{x^4 (1+\log (5)) (\log (8) \log (3125)-\log (5) \log (32768))+x^3 \left(\log (625) \log (298023223876953125)-100 \log ^2(5)\right)+x^2 \left(\log ^2(2) \log ^2(5)+\log ^2(25)+5 \log (4) \log (5) (9+10 \log (5))+\log (2) \log (5) (-90-98 \log (5)+\log (25))\right)-2 x \log (5) \left(\log ^2(2) \log (25)+\log (5) \log (16)+\log (4) \log (25)+\log (390625)\right)-10 \log (5) \left(\log ^2(2) \log (25)+\log (5) \log (16)+\log (4) \log (25)+\log (390625)\right)}{\left(x^2-4 x-20\right) \left(x-\log ^2(x)+5\right)^2}+\frac{x^8 (1+\log (5)) (\log (4) \log (5)+\log (625))-2 x^7 (1+\log (5)) (15 \log (25)+8 \log (625)+\log (5) (\log (4096)-38))+x^6 \left(\log ^2(5) (-524+390 \log (2)-39 \log (4)-112 \log (8))+360 \log (25)+\log (5) (-516+392 \log (2)-38 \log (4)-112 \log (8)+360 \log (25)-61 \log (625))-61 \log (625)\right)+4 x^5 \left(2 \log ^2(5) (-312+40 \log (2)+167 \log (4)-90 \log (8))-60 \log (25)+290 \log (625)+\log (5) (-648+76 \log (2)+332 \log (4)-180 \log (8)-\log (16)-60 \log (25)+290 \log (625))\right)+x^4 \left(-20 \log ^2(5) (-28+390 \log (2)-267 \log (4)+40 \log (8))+(\log (16)-12400) \log (25)+6300 \log (625)+\log (5) (464-7920 \log (2)+5372 \log (4)-800 \log (8)-12400 \log (25)+6300 \log (625))\right)-4 x^3 \log (5) (3968+3000 \log (2)-430 \log (4)-39 \log (16)+4000 \log (25)+300 \log (5) (16+\log (256))-2000 \log (625))-160 x^2 \log (5) (188+200 \log (5)+5 \log (4) (9+10 \log (5))+\log (16))-4800 x \log (5) (8+\log (16))-8000 \log (5) (8+\log (16))}{\left(x^2-4 x-20\right)^3 \left(x-\log ^2(x)+5\right)}","\left(x^2+\log (5) \left(x^2+\frac{2+\log (2)}{x-\log ^2(x)+5}\right)+2\right)^2",1,"4*x^2*(1 + Log[5]) + x^4*(1 + Log[5])^2 + (x^2*(Log[2]^2*Log[5]^2 + 5*Log[4]*Log[5]*(9 + 10*Log[5]) + Log[25]^2 + Log[2]*Log[5]*(-90 - 98*Log[5] + Log[25])) + x^4*(1 + Log[5])*(Log[8]*Log[3125] - Log[5]*Log[32768]) - 10*Log[5]*(Log[5]*Log[16] + Log[2]^2*Log[25] + Log[4]*Log[25] + Log[390625]) - 2*x*Log[5]*(Log[5]*Log[16] + Log[2]^2*Log[25] + Log[4]*Log[25] + Log[390625]) + x^3*(-100*Log[5]^2 + Log[625]*Log[298023223876953125]))/((-20 - 4*x + x^2)*(5 + x - Log[x]^2)^2) + (-8000*Log[5]*(8 + Log[16]) - 4800*x*Log[5]*(8 + Log[16]) - 160*x^2*Log[5]*(188 + 200*Log[5] + 5*Log[4]*(9 + 10*Log[5]) + Log[16]) - 4*x^3*Log[5]*(3968 + 3000*Log[2] - 430*Log[4] - 39*Log[16] + 4000*Log[25] + 300*Log[5]*(16 + Log[256]) - 2000*Log[625]) + x^6*(Log[5]^2*(-524 + 390*Log[2] - 39*Log[4] - 112*Log[8]) + 360*Log[25] + Log[5]*(-516 + 392*Log[2] - 38*Log[4] - 112*Log[8] + 360*Log[25] - 61*Log[625]) - 61*Log[625]) + x^8*(1 + Log[5])*(Log[4]*Log[5] + Log[625]) + 4*x^5*(2*Log[5]^2*(-312 + 40*Log[2] + 167*Log[4] - 90*Log[8]) - 60*Log[25] + 290*Log[625] + Log[5]*(-648 + 76*Log[2] + 332*Log[4] - 180*Log[8] - Log[16] - 60*Log[25] + 290*Log[625])) + x^4*(-20*Log[5]^2*(-28 + 390*Log[2] - 267*Log[4] + 40*Log[8]) + (-12400 + Log[16])*Log[25] + 6300*Log[625] + Log[5]*(464 - 7920*Log[2] + 5372*Log[4] - 800*Log[8] - 12400*Log[25] + 6300*Log[625])) - 2*x^7*(1 + Log[5])*(15*Log[25] + 8*Log[625] + Log[5]*(-38 + Log[4096])))/((-20 - 4*x + x^2)^3*(5 + x - Log[x]^2))","B",0
5265,1,59,25,0.3481115,"\int \frac{36-e^{3 x} x+12 \log (2)+\log ^2(2)+e^{2 x} (1-12 x-2 x \log (2))+e^x \left(12-32 x+(2-12 x) \log (2)-x \log ^2(2)\right)+\left(72+2 e^{2 x}+24 \log (2)+2 \log ^2(2)+e^x (24+4 \log (2))\right) \log (x)}{36 x+e^{2 x} x+12 x \log (2)+x \log ^2(2)+e^x (12 x+2 x \log (2))} \, dx","Integrate[(36 - E^(3*x)*x + 12*Log[2] + Log[2]^2 + E^(2*x)*(1 - 12*x - 2*x*Log[2]) + E^x*(12 - 32*x + (2 - 12*x)*Log[2] - x*Log[2]^2) + (72 + 2*E^(2*x) + 24*Log[2] + 2*Log[2]^2 + E^x*(24 + 4*Log[2]))*Log[x])/(36*x + E^(2*x)*x + 12*x*Log[2] + x*Log[2]^2 + E^x*(12*x + 2*x*Log[2])),x]","-e^x+\log ^2(x)-\frac{24-2 \log ^3(2)+\log ^2(2) (\log (4)-12)+\log (16)-\log (2) \log (4096)+\log (4) \log (4096)}{(6+\log (2)) \left(e^x+6+\log (2)\right)}+\log (x)","-e^x+\log ^2(x)+\log (2 x)-\frac{4}{e^x+6+\log (2)}",1,"-E^x - (24 - 2*Log[2]^3 + Log[2]^2*(-12 + Log[4]) + Log[16] - Log[2]*Log[4096] + Log[4]*Log[4096])/((6 + Log[2])*(6 + E^x + Log[2])) + Log[x] + Log[x]^2","B",0
5266,1,26,23,0.1617858,"\int \frac{e^{-e^5} \left(e^{e^5} x+\left(8 x+e^{e^5} \left(1-3 x^2\right)\right) \log (x)+2 e^{e^5} x \log (x) \log (\log (x))\right)}{\log (x)} \, dx","Integrate[(E^E^5*x + (8*x + E^E^5*(1 - 3*x^2))*Log[x] + 2*E^E^5*x*Log[x]*Log[Log[x]])/(E^E^5*Log[x]),x]","-x^3+4 e^{-e^5} x^2+x^2 \log (\log (x))+x","x^2 \left(-x+\frac{1}{x}+\log (\log (x))+4 e^{-e^5}\right)",1,"x + (4*x^2)/E^E^5 - x^3 + x^2*Log[Log[x]]","A",1
5267,1,22,22,0.3785087,"\int \frac{-36+320 x \log (25)-575 x^2 \log ^2(25)+\left(8-80 x \log (25)+150 x^2 \log ^2(25)\right) \log (x)+\left(-28+280 x \log (25)-525 x^2 \log ^2(25)+\left(8-80 x \log (25)+150 x^2 \log ^2(25)\right) \log (x)\right) \log \left(\frac{1}{2} (-7+2 \log (x))\right)}{-7+2 \log (x)+(-14+4 \log (x)) \log \left(\frac{1}{2} (-7+2 \log (x))\right)+(-7+2 \log (x)) \log ^2\left(\frac{1}{2} (-7+2 \log (x))\right)} \, dx","Integrate[(-36 + 320*x*Log[25] - 575*x^2*Log[25]^2 + (8 - 80*x*Log[25] + 150*x^2*Log[25]^2)*Log[x] + (-28 + 280*x*Log[25] - 525*x^2*Log[25]^2 + (8 - 80*x*Log[25] + 150*x^2*Log[25]^2)*Log[x])*Log[(-7 + 2*Log[x])/2])/(-7 + 2*Log[x] + (-14 + 4*Log[x])*Log[(-7 + 2*Log[x])/2] + (-7 + 2*Log[x])*Log[(-7 + 2*Log[x])/2]^2),x]","\frac{x (2-5 x \log (25))^2}{\log \left(\log (x)-\frac{7}{2}\right)+1}","\frac{x (5 x \log (25)-2)^2}{\log \left(\log (x)-\frac{7}{2}\right)+1}",1,"(x*(2 - 5*x*Log[25])^2)/(1 + Log[-7/2 + Log[x]])","A",1
5268,1,16,18,0.0655851,"\int \frac{e^x \left(4 x-4 x^2\right)}{625 e^{3 x}-1875 e^{2 x} x+1875 e^x x^2-625 x^3} \, dx","Integrate[(E^x*(4*x - 4*x^2))/(625*E^(3*x) - 1875*E^(2*x)*x + 1875*E^x*x^2 - 625*x^3),x]","\frac{2 x^2}{625 \left(e^x-x\right)^2}","\frac{2}{25 \left(5-\frac{5 e^x}{x}\right)^2}-6",1,"(2*x^2)/(625*(E^x - x)^2)","A",1
5269,1,38,27,0.2165739,"\int \frac{e^{-x-e^{-x} x} \left(-4 x^3+4 x^4+e^{e^x+e^{-x} x} \left(-2 e^x+e^{2 x} x\right)+e^{x+e^{-x} x} (-x-2 \log (5))\right)}{4 x^3} \, dx","Integrate[(E^(-x - x/E^x)*(-4*x^3 + 4*x^4 + E^(E^x + x/E^x)*(-2*E^x + E^(2*x)*x) + E^(x + x/E^x)*(-x - 2*Log[5])))/(4*x^3),x]","\frac{1}{4} \left(\frac{e^{e^x}}{x^2}+\frac{\log (25)}{2 x^2}+4 e^{-e^{-x} x}+\frac{1}{x}\right)","\frac{x+e^{e^x}+\log (5)}{4 x^2}+e^{-e^{-x} x}",1,"(4/E^(x/E^x) + E^E^x/x^2 + x^(-1) + Log[25]/(2*x^2))/4","A",1
5270,1,32,31,0.129565,"\int \frac{25+150 x-25 x^2+e^{2 e^{-4+x}+2 x} \left(9-4 x+2 x^2+e^{-4+x} \left(8-2 x+2 x^2\right)\right)}{625+e^{4 e^{-4+x}+4 x}+1250 x^2+625 x^4+e^{2 e^{-4+x}+2 x} \left(50+50 x^2\right)} \, dx","Integrate[(25 + 150*x - 25*x^2 + E^(2*E^(-4 + x) + 2*x)*(9 - 4*x + 2*x^2 + E^(-4 + x)*(8 - 2*x + 2*x^2)))/(625 + E^(4*E^(-4 + x) + 4*x) + 1250*x^2 + 625*x^4 + E^(2*E^(-4 + x) + 2*x)*(50 + 50*x^2)),x]","-\frac{x^2-x+4}{25 x^2+e^{2 x+2 e^{x-4}}+25}","\frac{-x^2+x-4}{25 x^2+e^{2 x+2 e^{x-4}}+25}",1,"-((4 - x + x^2)/(25 + E^(2*E^(-4 + x) + 2*x) + 25*x^2))","A",1
5271,1,9,9,0.0058873,"\int 10 e^{e^{2 x}+2 x} \, dx","Integrate[10*E^(E^(2*x) + 2*x),x]","5 e^{e^{2 x}}","5 e^{e^{2 x}}",1,"5*E^E^(2*x)","A",1
5272,1,58,32,0.1473492,"\int \frac{2 x^2+24 x^5 \log ^4(4)-16 x^9 \log ^8(4)+e^{25 x^2} \left(2-100 x^2-24 x^3 \log ^4(4)+16 x^7 \log ^8(4)\right)+\left(8 e^{25 x^2} x^4 \log ^4(4)-8 x^6 \log ^4(4)\right) \log \left(\frac{e^{25 x^2}-x^2}{x}\right)+\left(e^{25 x^2} x-x^3\right) \log ^2\left(\frac{e^{25 x^2}-x^2}{x}\right)}{16 e^{25 x^2} x^7 \log ^8(4)-16 x^9 \log ^8(4)+\left(8 e^{25 x^2} x^4 \log ^4(4)-8 x^6 \log ^4(4)\right) \log \left(\frac{e^{25 x^2}-x^2}{x}\right)+\left(e^{25 x^2} x-x^3\right) \log ^2\left(\frac{e^{25 x^2}-x^2}{x}\right)} \, dx","Integrate[(2*x^2 + 24*x^5*Log[4]^4 - 16*x^9*Log[4]^8 + E^(25*x^2)*(2 - 100*x^2 - 24*x^3*Log[4]^4 + 16*x^7*Log[4]^8) + (8*E^(25*x^2)*x^4*Log[4]^4 - 8*x^6*Log[4]^4)*Log[(E^(25*x^2) - x^2)/x] + (E^(25*x^2)*x - x^3)*Log[(E^(25*x^2) - x^2)/x]^2)/(16*E^(25*x^2)*x^7*Log[4]^8 - 16*x^9*Log[4]^8 + (8*E^(25*x^2)*x^4*Log[4]^4 - 8*x^6*Log[4]^4)*Log[(E^(25*x^2) - x^2)/x] + (E^(25*x^2)*x - x^3)*Log[(E^(25*x^2) - x^2)/x]^2),x]","\frac{4 x^4 \log ^4(4)+x \log \left(\frac{e^{25 x^2}}{x}-x\right)+2}{4 x^3 \log ^4(4)+\log \left(\frac{e^{25 x^2}}{x}-x\right)}","\frac{2}{4 x^3 \log ^4(4)+\log \left(\frac{e^{25 x^2}}{x}-x\right)}+x",1,"(2 + 4*x^4*Log[4]^4 + x*Log[E^(25*x^2)/x - x])/(4*x^3*Log[4]^4 + Log[E^(25*x^2)/x - x])","A",1
5273,1,24,27,0.0327565,"\int \frac{-15-5 x^2+e^{4 e^2-2 x} \left(-10 x-2 x^3\right)}{5 x+x^3} \, dx","Integrate[(-15 - 5*x^2 + E^(4*E^2 - 2*x)*(-10*x - 2*x^3))/(5*x + x^3),x]","-\log \left(x^2+5\right)+e^{4 e^2-2 x}-3 \log (x)","-\log \left(2 x^3 \left(x^2+5\right)\right)+e^{4 e^2-2 x}+\log (5)",1,"E^(4*E^2 - 2*x) - 3*Log[x] - Log[5 + x^2]","A",1
5274,1,23,27,0.0456169,"\int \frac{-10 x^2-2 x^3+e^{4/x} \left(20+23 x+4 x^2\right)}{10 x^5} \, dx","Integrate[(-10*x^2 - 2*x^3 + E^(4/x)*(20 + 23*x + 4*x^2))/(10*x^5),x]","\frac{\left(x-e^{4/x}\right) (2 x+5)}{10 x^3}","1-\frac{\left(e^{4/x}-x\right) \left(\frac{4 x}{5}+2\right)}{4 x^3}",1,"((-E^(4/x) + x)*(5 + 2*x))/(10*x^3)","A",1
5275,1,18,20,0.0793562,"\int \frac{-64+64 x-16 x^2+e^x \left(-32+64 x-16 x^2\right)}{4 x^2-4 x^3+x^4} \, dx","Integrate[(-64 + 64*x - 16*x^2 + E^x*(-32 + 64*x - 16*x^2))/(4*x^2 - 4*x^3 + x^4),x]","-\frac{16 \left(-x+e^x+2\right)}{(x-2) x}","\frac{16}{x}-\frac{16 e^x}{(x-3) x+x}",1,"(-16*(2 + E^x - x))/((-2 + x)*x)","A",1
5276,1,33,24,0.3521377,"\int e^{-e^{9 x^4}-x} \left(2 x-x^2-36 e^{9 x^4} x^5+e^{e^{9 x^4}} \left(-4 x+2 x^2\right)\right) \, dx","Integrate[E^(-E^(9*x^4) - x)*(2*x - x^2 - 36*E^(9*x^4)*x^5 + E^E^(9*x^4)*(-4*x + 2*x^2)),x]","-e^{-e^{9 x^4}-x} \left(2 e^{e^{9 x^4}}-1\right) x^2","e^{-x} x \left(e^{-e^{9 x^4}} x-2 x\right)",1,"-(E^(-E^(9*x^4) - x)*(-1 + 2*E^E^(9*x^4))*x^2)","A",1
5277,1,12,13,0.0096569,"\int \frac{18+11 e^x}{15+5 e^x} \, dx","Integrate[(18 + 11*E^x)/(15 + 5*E^x),x]","\frac{6 x}{5}+\log \left(e^x+3\right)","\frac{6 x}{5}+\log \left(e^x+3\right)+23",1,"(6*x)/5 + Log[3 + E^x]","A",1
5278,1,21,26,0.0174729,"\int \frac{6 x+4 x^2+(-6-4 x) \log \left(\frac{1}{-4-8 x+(1+2 x) \log (8)}\right)}{1+2 x} \, dx","Integrate[(6*x + 4*x^2 + (-6 - 4*x)*Log[(-4 - 8*x + (1 + 2*x)*Log[8])^(-1)])/(1 + 2*x),x]","\left(x-\log \left(\frac{1}{(2 x+1) (\log (8)-4)}\right)\right)^2","\left(\log \left(\frac{x}{\left(2 x^2+x\right) (\log (8)-4)}\right)-x\right)^2+5",1,"(x - Log[1/((1 + 2*x)*(-4 + Log[8]))])^2","A",1
5279,1,31,28,0.7029647,"\int \left(-6 x^2+e^{e^{5+x^2}-x+2 e^{e^{5+x^2}-x} x} \left(2-2 x+4 e^{5+x^2} x^2\right)+e^x \left(3 x^2+x^3\right)\right) \, dx","Integrate[-6*x^2 + E^(E^(5 + x^2) - x + 2*E^(E^(5 + x^2) - x)*x)*(2 - 2*x + 4*E^(5 + x^2)*x^2) + E^x*(3*x^2 + x^3),x]","e^x x^3-2 x^3+e^{2 e^{e^{x^2+5}-x} x}","\left(e^x-2\right) x^3+e^{2 e^{e^{x^2+5}-x} x}",1,"E^(2*E^(E^(5 + x^2) - x)*x) - 2*x^3 + E^x*x^3","A",1
5280,1,12,15,0.034966,"\int \frac{2+x-2 \log (x)}{\left(2 x+x^2\right) \log (x)} \, dx","Integrate[(2 + x - 2*Log[x])/((2*x + x^2)*Log[x]),x]","-\log (x)+\log (x+2)+\log (\log (x))","\log \left(\frac{3 (-x-2) \log (x)}{50 x}\right)",1,"-Log[x] + Log[2 + x] + Log[Log[x]]","A",1
5281,1,33,23,0.0557602,"\int \frac{1+e^{-8+12 e^5+4 x^2} \left(-x+32 x^2-8 x^3\right)}{x} \, dx","Integrate[(1 + E^(-8 + 12*E^5 + 4*x^2)*(-x + 32*x^2 - 8*x^3))/x,x]","\frac{e^{4 \left(x^2+3 e^5-2\right)} \left(32 x-8 x^2\right)}{8 x}+\log (x)","-e^{4 \left(x^2+3 e^5-2\right)} (x-4)+\log (x)-4",1,"(E^(4*(-2 + 3*E^5 + x^2))*(32*x - 8*x^2))/(8*x) + Log[x]","A",1
5282,1,93,36,0.175453,"\int \frac{-192-672 x-912 x^2-600 x^3-192 x^4-24 x^5+e^x \left(-12-30 x-18 x^2\right)+\left(96+144 x+72 x^2+12 x^3+e^x (6+3 x)\right) \log \left(\frac{e^{-2 x} \left(6400+25 e^{2 x}+12800 x+9600 x^2+3200 x^3+400 x^4+e^x \left(800+800 x+200 x^2\right)\right)}{16 x^2+32 x^3+24 x^4+8 x^5+x^6}\right)}{160+560 x+760 x^2+500 x^3+160 x^4+20 x^5+e^x \left(10+25 x+20 x^2+5 x^3\right)} \, dx","Integrate[(-192 - 672*x - 912*x^2 - 600*x^3 - 192*x^4 - 24*x^5 + E^x*(-12 - 30*x - 18*x^2) + (96 + 144*x + 72*x^2 + 12*x^3 + E^x*(6 + 3*x))*Log[(6400 + 25*E^(2*x) + 12800*x + 9600*x^2 + 3200*x^3 + 400*x^4 + E^x*(800 + 800*x + 200*x^2))/(E^(2*x)*(16*x^2 + 32*x^3 + 24*x^4 + 8*x^5 + x^6))])/(160 + 560*x + 760*x^2 + 500*x^3 + 160*x^4 + 20*x^5 + E^x*(10 + 25*x + 20*x^2 + 5*x^3)),x]","-\frac{3 \left(2 x^2+\log \left(\frac{25 e^{-2 x} \left(4 (x+2)^2+e^x\right)^2}{x^2 (x+2)^4}\right)+4 x-2 x \log \left(4 (x+2)^2+e^x\right)+2 (x+1) \log (x)+4 (x+1) \log (x+2)-2 \log \left(4 (x+2)^2+e^x\right)+2\right)}{5 (x+1)}","\frac{3 \log \left(\frac{25 \left(4 e^{-x}+\frac{4}{(2 x+4)^2}\right)^2}{x^2}\right)}{\frac{5}{x}+5}",1,"(-3*(2 + 4*x + 2*x^2 + 2*(1 + x)*Log[x] + 4*(1 + x)*Log[2 + x] - 2*Log[E^x + 4*(2 + x)^2] - 2*x*Log[E^x + 4*(2 + x)^2] + Log[(25*(E^x + 4*(2 + x)^2)^2)/(E^(2*x)*x^2*(2 + x)^4)]))/(5*(1 + x))","B",1
5283,1,12,12,0.0488748,"\int \frac{4}{(5-20 x+(-1+4 x) \log (5-20 x)) \log (-20+4 \log (5-20 x))} \, dx","Integrate[4/((5 - 20*x + (-1 + 4*x)*Log[5 - 20*x])*Log[-20 + 4*Log[5 - 20*x]]),x]","\log (\log (4 (\log (5-20 x)-5)))","\log (\log (4 (\log (5-20 x)-5)))",1,"Log[Log[4*(-5 + Log[5 - 20*x])]]","A",1
5284,1,18,22,0.0019111,"\int \frac{10-2 x^3-5 \log (x)}{x^2} \, dx","Integrate[(10 - 2*x^3 - 5*Log[x])/x^2,x]","-x^2-\frac{5}{x}+\frac{5 \log (x)}{x}","-x^2-\frac{5 (1-\log (x))}{x}-e^4",1,"-5/x - x^2 + (5*Log[x])/x","A",1
5285,1,31,25,0.1861418,"\int \frac{\left(20 x^2-4 x^4\right) \log \left(5-x^2\right)+\left(-10 x^3+2 x^5\right) \log \left(5-x^2\right) \log \left(\log \left(5-x^2\right)\right)+\sqrt{2-x \log \left(\log \left(5-x^2\right)\right)} \left(2 x^3+\left(-20+4 x^2\right) \log \left(5-x^2\right)+\left(5 x-x^3\right) \log \left(5-x^2\right) \log \left(\log \left(5-x^2\right)\right)\right)}{\left(20 x^2-4 x^4\right) \log \left(5-x^2\right)+\left(-10 x^3+2 x^5\right) \log \left(5-x^2\right) \log \left(\log \left(5-x^2\right)\right)} \, dx","Integrate[((20*x^2 - 4*x^4)*Log[5 - x^2] + (-10*x^3 + 2*x^5)*Log[5 - x^2]*Log[Log[5 - x^2]] + Sqrt[2 - x*Log[Log[5 - x^2]]]*(2*x^3 + (-20 + 4*x^2)*Log[5 - x^2] + (5*x - x^3)*Log[5 - x^2]*Log[Log[5 - x^2]]))/((20*x^2 - 4*x^4)*Log[5 - x^2] + (-10*x^3 + 2*x^5)*Log[5 - x^2]*Log[Log[5 - x^2]]),x]","\frac{1}{2} \left(\frac{2 \sqrt{2-x \log \left(\log \left(5-x^2\right)\right)}}{x}+2 x\right)","\frac{\sqrt{2-x \log \left(\log \left(5-x^2\right)\right)}}{x}+x-3",1,"(2*x + (2*Sqrt[2 - x*Log[Log[5 - x^2]]])/x)/2","A",1
5286,1,27,27,0.2639782,"\int \frac{e^x \left(-x-x^2\right)+4 e^{5 x} x \log ^3(1+x)+e^{5 x} \left(4 x+4 x^2\right) \log ^4(1+x)+\left(e^x \left(-x-x^2\right)+e^{5 x} (1+x) \log ^4(1+x)\right) \log \left(\frac{1}{3} \left(2 x-2 e^{4 x} \log ^4(1+x)\right)\right)+\left(e^x \left(-x^2-x^3\right)+e^{5 x} \left(x+x^2\right) \log ^4(1+x)\right) \log \left(\frac{1}{3} \left(2 x-2 e^{4 x} \log ^4(1+x)\right)\right) \log \left(x \log \left(\frac{1}{3} \left(2 x-2 e^{4 x} \log ^4(1+x)\right)\right)\right)}{\left(-x^2-x^3+e^{4 x} \left(x+x^2\right) \log ^4(1+x)\right) \log \left(\frac{1}{3} \left(2 x-2 e^{4 x} \log ^4(1+x)\right)\right)} \, dx","Integrate[(E^x*(-x - x^2) + 4*E^(5*x)*x*Log[1 + x]^3 + E^(5*x)*(4*x + 4*x^2)*Log[1 + x]^4 + (E^x*(-x - x^2) + E^(5*x)*(1 + x)*Log[1 + x]^4)*Log[(2*x - 2*E^(4*x)*Log[1 + x]^4)/3] + (E^x*(-x^2 - x^3) + E^(5*x)*(x + x^2)*Log[1 + x]^4)*Log[(2*x - 2*E^(4*x)*Log[1 + x]^4)/3]*Log[x*Log[(2*x - 2*E^(4*x)*Log[1 + x]^4)/3]])/((-x^2 - x^3 + E^(4*x)*(x + x^2)*Log[1 + x]^4)*Log[(2*x - 2*E^(4*x)*Log[1 + x]^4)/3]),x]","e^x \log \left(x \log \left(\frac{2}{3} \left(x-e^{4 x} \log ^4(x+1)\right)\right)\right)","e^x \log \left(x \log \left(\frac{2}{3} \left(x-e^{4 x} \log ^4(x+1)\right)\right)\right)",1,"E^x*Log[x*Log[(2*(x - E^(4*x)*Log[1 + x]^4))/3]]","A",1
5287,0,0,43,1.3842832,"\int \frac{2^{\frac{-125-25 x^2 \log (x)}{-2+x}} \left(x^2\right)^{\frac{-125-25 x^2 \log (x)}{-2+x}} \left(500-250 x+\left(100 x^2-50 x^3\right) \log (x)+\left(125 x+50 x^2-25 x^3+\left(100 x^2-25 x^3\right) \log (x)\right) \log \left(2 x^2\right)\right)}{4 x-4 x^2+x^3} \, dx","Integrate[(2^((-125 - 25*x^2*Log[x])/(-2 + x))*(x^2)^((-125 - 25*x^2*Log[x])/(-2 + x))*(500 - 250*x + (100*x^2 - 50*x^3)*Log[x] + (125*x + 50*x^2 - 25*x^3 + (100*x^2 - 25*x^3)*Log[x])*Log[2*x^2]))/(4*x - 4*x^2 + x^3),x]","\int \frac{2^{\frac{-125-25 x^2 \log (x)}{-2+x}} \left(x^2\right)^{\frac{-125-25 x^2 \log (x)}{-2+x}} \left(500-250 x+\left(100 x^2-50 x^3\right) \log (x)+\left(125 x+50 x^2-25 x^3+\left(100 x^2-25 x^3\right) \log (x)\right) \log \left(2 x^2\right)\right)}{4 x-4 x^2+x^3} \, dx","2^{\frac{25 \left(x^2 \log (x)+5\right)}{2-x}} \left(x^2\right)^{\frac{25 \left(x^2 \log (x)+5\right)}{2-x}}-4",1,"Integrate[(2^((-125 - 25*x^2*Log[x])/(-2 + x))*(x^2)^((-125 - 25*x^2*Log[x])/(-2 + x))*(500 - 250*x + (100*x^2 - 50*x^3)*Log[x] + (125*x + 50*x^2 - 25*x^3 + (100*x^2 - 25*x^3)*Log[x])*Log[2*x^2]))/(4*x - 4*x^2 + x^3), x]","F",-1
5288,1,37,26,0.1428187,"\int \frac{25+9 x^3-21 x^4+e^{2 x} \left(x^2-2 x^3-2 x^4\right)+\left(-25+14 x^3+e^{2 x} \left(x^2+2 x^3\right)\right) \log (x)}{x^2} \, dx","Integrate[(25 + 9*x^3 - 21*x^4 + E^(2*x)*(x^2 - 2*x^3 - 2*x^4) + (-25 + 14*x^3 + E^(2*x)*(x^2 + 2*x^3))*Log[x])/x^2,x]","\left(7 x^2+e^{2 x} x+\frac{25}{x}\right) \log (x)-x^2 \left(7 x+e^{2 x}-1\right)","x \left(x-\left(\frac{25}{x^2}+7 x+e^{2 x}\right) (x-\log (x))\right)",1,"-(x^2*(-1 + E^(2*x) + 7*x)) + (25/x + E^(2*x)*x + 7*x^2)*Log[x]","A",1
5289,1,32,31,0.1009627,"\int \frac{6+9 x-12 x^2+e^4 (-12+12 x)+e^{2 x} \left(-2-7 x+6 x^2\right)+\left(3 e^4-3 x+e^{2 x} x\right) \log \left(\frac{1}{3} \left(15 e^4-15 x+5 e^{2 x} x\right)\right)}{12 x^2-6 x^3+e^4 \left(-12 x+6 x^2\right)+e^{2 x} \left(-4 x^2+2 x^3\right)+\left(6 x-3 x^2+e^4 (-6+3 x)+e^{2 x} \left(-2 x+x^2\right)\right) \log \left(\frac{1}{3} \left(15 e^4-15 x+5 e^{2 x} x\right)\right)} \, dx","Integrate[(6 + 9*x - 12*x^2 + E^4*(-12 + 12*x) + E^(2*x)*(-2 - 7*x + 6*x^2) + (3*E^4 - 3*x + E^(2*x)*x)*Log[(15*E^4 - 15*x + 5*E^(2*x)*x)/3])/(12*x^2 - 6*x^3 + E^4*(-12*x + 6*x^2) + E^(2*x)*(-4*x^2 + 2*x^3) + (6*x - 3*x^2 + E^4*(-6 + 3*x) + E^(2*x)*(-2*x + x^2))*Log[(15*E^4 - 15*x + 5*E^(2*x)*x)/3]),x]","\log (2-x)+\log \left(2 x+\log \left(\frac{5}{3} e^{2 x} x-5 x+5 e^4\right)\right)","\log \left((4-2 x) \left(2 x+\log \left(5 \left(\frac{1}{3} e^{2 x} x-x+e^4\right)\right)\right)\right)",1,"Log[2 - x] + Log[2*x + Log[5*E^4 - 5*x + (5*E^(2*x)*x)/3]]","A",1
5290,1,30,22,0.0001143,"\int \left(8-4 e^{2 e}-14 x-32 e^e x-48 x^2\right) \, dx","Integrate[8 - 4*E^(2*E) - 14*x - 32*E^E*x - 48*x^2,x]","-16 x^3-16 e^e x^2-7 x^2-4 e^{2 e} x+8 x","x \left(x+4 \left(-\left(2 x+e^e\right)^2-2 x+2\right)\right)",1,"8*x - 4*E^(2*E)*x - 7*x^2 - 16*E^E*x^2 - 16*x^3","A",1
5291,1,11,12,0.0000748,"\int \frac{1+3 \log (\log (3))}{\log (\log (3))} \, dx","Integrate[(1 + 3*Log[Log[3]])/Log[Log[3]],x]","3 x+\frac{x}{\log (\log (3))}","3 x+\frac{x}{\log (\log (3))}-9",1,"3*x + x/Log[Log[3]]","A",1
5292,1,23,23,0.0638901,"\int \frac{4-x^2+\left(4-4 x+x^2+x^3\right) \log \left(\frac{x}{3}\right)}{\left(-4 x+x^3\right) \log \left(\frac{x}{3}\right)} \, dx","Integrate[(4 - x^2 + (4 - 4*x + x^2 + x^3)*Log[x/3])/((-4*x + x^3)*Log[x/3]),x]","\log \left(4-x^2\right)+x-\log (x)-\log \left(\log \left(\frac{x}{3}\right)\right)","\log \left(x^2-4\right)+x-\log (x)-\log \left(\log \left(\frac{x}{3}\right)\right)+\log (3)",1,"x - Log[x] + Log[4 - x^2] - Log[Log[x/3]]","A",1
5293,1,26,26,0.4619889,"\int \frac{e^{162-36 x+2 x^2} \left(-17 x^2+180 x^3-20 x^4+e^x \left(-24 x+350 x^2-40 x^3\right)\right)+e^{162-36 x+2 x^2} \left(3 x^2-36 x^3+4 x^4+e^x \left(4 x-70 x^2+8 x^3\right)\right) \log (x)}{-125+75 \log (x)-15 \log ^2(x)+\log ^3(x)} \, dx","Integrate[(E^(162 - 36*x + 2*x^2)*(-17*x^2 + 180*x^3 - 20*x^4 + E^x*(-24*x + 350*x^2 - 40*x^3)) + E^(162 - 36*x + 2*x^2)*(3*x^2 - 36*x^3 + 4*x^4 + E^x*(4*x - 70*x^2 + 8*x^3))*Log[x])/(-125 + 75*Log[x] - 15*Log[x]^2 + Log[x]^3),x]","\frac{e^{2 (x-9)^2} x^2 \left(x+2 e^x\right)}{(\log (x)-5)^2}","\frac{e^{2 (x-9)^2} x^2 \left(x+2 e^x\right)}{(\log (x)-5)^2}",1,"(E^(2*(-9 + x)^2)*x^2*(2*E^x + x))/(-5 + Log[x])^2","A",1
5294,1,19,19,0.1002898,"\int \frac{-24 x^3 \log (20)+e^x \left(x^3-2 x^4\right) \log (20)}{-2641807540224 e^2+990677827584 e^{2+x}-165112971264 e^{2+2 x}+16052649984 e^{2+3 x}-1003290624 e^{2+4 x}+41803776 e^{2+5 x}-1161216 e^{2+6 x}+20736 e^{2+7 x}-216 e^{2+8 x}+e^{2+9 x}} \, dx","Integrate[(-24*x^3*Log[20] + E^x*(x^3 - 2*x^4)*Log[20])/(-2641807540224*E^2 + 990677827584*E^(2 + x) - 165112971264*E^(2 + 2*x) + 16052649984*E^(2 + 3*x) - 1003290624*E^(2 + 4*x) + 41803776*E^(2 + 5*x) - 1161216*E^(2 + 6*x) + 20736*E^(2 + 7*x) - 216*E^(2 + 8*x) + E^(2 + 9*x)),x]","\frac{x^4 \log (20)}{4 e^2 \left(e^x-24\right)^8}","\frac{x^4 \log (20)}{4 e^2 \left(e^x-24\right)^8}",1,"(x^4*Log[20])/(4*E^2*(-24 + E^x)^8)","A",1
5295,1,19,24,0.0677569,"\int \left(-25+e^{e^{-x+x^2}} \left(-5+e^{-x+x^2} \left(-10+25 x-10 x^2\right)\right)\right) \, dx","Integrate[-25 + E^E^(-x + x^2)*(-5 + E^(-x + x^2)*(-10 + 25*x - 10*x^2)),x]","-5 \left(e^{e^{(x-1) x}} (x-2)+5 x\right)","-5 \left(e^{e^{x^2-x}}+5\right) (x-2)+\frac{5}{2}+\log (3)",1,"-5*(E^E^((-1 + x)*x)*(-2 + x) + 5*x)","A",1
5296,1,11,16,0.0009575,"\int \frac{11+12 x^2}{4 x^2} \, dx","Integrate[(11 + 12*x^2)/(4*x^2),x]","3 x-\frac{11}{4 x}","3 x-\frac{11}{4 x}+\log ^2(\log (5))",1,"-11/(4*x) + 3*x","A",1
5297,1,48,29,0.4362637,"\int \frac{\left(-12 x^2-2 e^x x^2\right) \log (x)+2 x^2 \log (x) \log \left(\frac{3}{x \log (x)}\right)+\frac{e^{9+\log ^2\left(6+e^x-\log \left(\frac{3}{x \log (x)}\right)\right)} \left(6+\left(6+6 e^x x\right) \log (x)+\left(-2+\left(-2-2 e^x x\right) \log (x)\right) \log \left(6+e^x-\log \left(\frac{3}{x \log (x)}\right)\right)\right)}{\left(6+e^x-\log \left(\frac{3}{x \log (x)}\right)\right)^6}}{\left(-6 x-e^x x\right) \log (x)+x \log (x) \log \left(\frac{3}{x \log (x)}\right)} \, dx","Integrate[((-12*x^2 - 2*E^x*x^2)*Log[x] + 2*x^2*Log[x]*Log[3/(x*Log[x])] + (E^(9 + Log[6 + E^x - Log[3/(x*Log[x])]]^2)*(6 + (6 + 6*E^x*x)*Log[x] + (-2 + (-2 - 2*E^x*x)*Log[x])*Log[6 + E^x - Log[3/(x*Log[x])]]))/(6 + E^x - Log[3/(x*Log[x])])^6)/((-6*x - E^x*x)*Log[x] + x*Log[x]*Log[3/(x*Log[x])]),x]","x^2+\frac{e^{\log ^2\left(e^x-\log \left(\frac{3}{x \log (x)}\right)+6\right)+9}}{\left(e^x-\log \left(\frac{3}{x \log (x)}\right)+6\right)^6}","x^2+e^{\left(\log \left(e^x-\log \left(\frac{3}{x \log (x)}\right)+6\right)-3\right)^2}+5",1,"x^2 + E^(9 + Log[6 + E^x - Log[3/(x*Log[x])]]^2)/(6 + E^x - Log[3/(x*Log[x])])^6","A",1
5298,1,16,16,0.5418807,"\int \frac{-7-3 x-90 x^2-\log (x)}{125 x^2+75 x^3+1365 x^4+541 x^5+4914 x^6+972 x^7+5832 x^8+\left(75 x^2+30 x^3+543 x^4+108 x^5+972 x^6\right) \log (x)+\left(15 x^2+3 x^3+54 x^4\right) \log ^2(x)+x^2 \log ^3(x)} \, dx","Integrate[(-7 - 3*x - 90*x^2 - Log[x])/(125*x^2 + 75*x^3 + 1365*x^4 + 541*x^5 + 4914*x^6 + 972*x^7 + 5832*x^8 + (75*x^2 + 30*x^3 + 543*x^4 + 108*x^5 + 972*x^6)*Log[x] + (15*x^2 + 3*x^3 + 54*x^4)*Log[x]^2 + x^2*Log[x]^3),x]","\frac{1}{x \left(18 x^2+x+\log (x)+5\right)^2}","\frac{1}{x \left(18 x^2+x+\log (x)+5\right)^2}",1,"1/(x*(5 + x + 18*x^2 + Log[x])^2)","A",1
5299,1,15,21,0.1159811,"\int \frac{-1-x \log (x)+\left(2-x \log ^2(x)\right) \log (\log (x))+\left(-1+x \log ^2(x)\right) \log ^2(\log (x))}{x \log ^2(x)-2 x \log ^2(x) \log (\log (x))+x \log ^2(x) \log ^2(\log (x))} \, dx","Integrate[(-1 - x*Log[x] + (2 - x*Log[x]^2)*Log[Log[x]] + (-1 + x*Log[x]^2)*Log[Log[x]]^2)/(x*Log[x]^2 - 2*x*Log[x]^2*Log[Log[x]] + x*Log[x]^2*Log[Log[x]]^2),x]","x+\frac{x}{\log (\log (x))-1}+\frac{1}{\log (x)}","-\frac{x^2}{x-x \log (\log (x))}+x+\frac{1}{\log (x)}",1,"x + Log[x]^(-1) + x/(-1 + Log[Log[x]])","A",1
5300,1,13,13,0.076265,"\int e^{-x} \left(e^x+e^{e^{-x} x} (3-3 x)\right) \, dx","Integrate[(E^x + E^(x/E^x)*(3 - 3*x))/E^x,x]","x+3 e^{e^{-x} x}","x+3 e^{e^{-x} x}",1,"3*E^(x/E^x) + x","A",1
5301,1,27,27,0.1085904,"\int \frac{\exp \left(e^{e^{\frac{x^3}{\log \left(3-i \pi +x-\log \left(\frac{23}{3}\right)\right)}}}+e^{\frac{x^3}{\log \left(3-i \pi +x-\log \left(\frac{23}{3}\right)\right)}}+\frac{x^3}{\log \left(3-i \pi +x-\log \left(\frac{23}{3}\right)\right)}\right) \left(x^3+\left(-9 x^2-3 x^3+3 x^2 \left(i \pi +\log \left(\frac{23}{3}\right)\right)\right) \log \left(3-i \pi +x-\log \left(\frac{23}{3}\right)\right)\right)}{\left(-3+i \pi -x+\log \left(\frac{23}{3}\right)\right) \log ^2\left(3-i \pi +x-\log \left(\frac{23}{3}\right)\right)} \, dx","Integrate[(E^(E^E^(x^3/Log[3 - I*Pi + x - Log[23/3]]) + E^(x^3/Log[3 - I*Pi + x - Log[23/3]]) + x^3/Log[3 - I*Pi + x - Log[23/3]])*(x^3 + (-9*x^2 - 3*x^3 + 3*x^2*(I*Pi + Log[23/3]))*Log[3 - I*Pi + x - Log[23/3]]))/((-3 + I*Pi - x + Log[23/3])*Log[3 - I*Pi + x - Log[23/3]]^2),x]","e^{e^{e^{\frac{x^3}{\log \left(x-i \pi +3-\log \left(\frac{23}{3}\right)\right)}}}}","e^{e^{e^{\frac{x^3}{\log \left(x-i \pi +3-\log \left(\frac{23}{3}\right)\right)}}}}",1,"E^E^E^(x^3/Log[3 - I*Pi + x - Log[23/3]])","A",1
5302,1,20,23,0.0216354,"\int \frac{e^{5-2 x+x^2-4 x^3} \left(-4-8 x+8 x^2-48 x^3\right)}{x^2} \, dx","Integrate[(E^(5 - 2*x + x^2 - 4*x^3)*(-4 - 8*x + 8*x^2 - 48*x^3))/x^2,x]","\frac{4 e^{-4 x^3+x^2-2 x+5}}{x}","\frac{4 e^{-4 x^3-(3-x) x+x+5}}{x}",1,"(4*E^(5 - 2*x + x^2 - 4*x^3))/x","A",1
5303,1,27,28,0.1464358,"\int \frac{81-\log (x)+e^{-5+x \log \left(\frac{81-\log (x)}{x}\right)} \left(82-\log (x)+(-81+\log (x)) \log \left(\frac{81-\log (x)}{x}\right)\right)}{\log \left(4+e^{-5+x \log \left(\frac{81-\log (x)}{x}\right)}-x\right) \left(-1296+324 x+(16-4 x) \log (x)+e^{-5+x \log \left(\frac{81-\log (x)}{x}\right)} (-324+4 \log (x))\right)} \, dx","Integrate[(81 - Log[x] + E^(-5 + x*Log[(81 - Log[x])/x])*(82 - Log[x] + (-81 + Log[x])*Log[(81 - Log[x])/x]))/(Log[4 + E^(-5 + x*Log[(81 - Log[x])/x]) - x]*(-1296 + 324*x + (16 - 4*x)*Log[x] + E^(-5 + x*Log[(81 - Log[x])/x])*(-324 + 4*Log[x]))),x]","\frac{1}{4} \log \left(\log \left(-x+\frac{\left(\frac{81-\log (x)}{x}\right)^x}{e^5}+4\right)\right)","\frac{1}{4} \log \left(\log \left(-x+e^{x \log \left(\frac{81-\log (x)}{x}\right)-5}+4\right)\right)",1,"Log[Log[4 - x + ((81 - Log[x])/x)^x/E^5]]/4","A",1
5304,1,33,29,0.1352293,"\int \frac{(-8+2 x) \log (2)+4 \log (2) \log \left(\frac{8}{x^2}\right)+\left(5 x^2-5 x^2 \log (2)\right) \log ^2\left(\frac{8}{x^2}\right)}{5 x^2 \log (2) \log ^2\left(\frac{8}{x^2}\right)} \, dx","Integrate[((-8 + 2*x)*Log[2] + 4*Log[2]*Log[8/x^2] + (5*x^2 - 5*x^2*Log[2])*Log[8/x^2]^2)/(5*x^2*Log[2]*Log[8/x^2]^2),x]","\frac{\frac{(x-4) \log (2)}{x \log \left(\frac{8}{x^2}\right)}-5 x (\log (2)-1)}{5 \log (2)}","\frac{x-4}{5 x \log \left(\frac{8}{x^2}\right)}-x+\frac{x}{\log (2)}-1",1,"(-5*x*(-1 + Log[2]) + ((-4 + x)*Log[2])/(x*Log[8/x^2]))/(5*Log[2])","A",1
5305,1,13,25,0.0020192,"\int \frac{1}{2} \left(-1-80 e^{2 x}\right) \, dx","Integrate[(-1 - 80*E^(2*x))/2,x]","-\frac{x}{2}-20 e^{2 x}","5 \left(4 \left(4-e^{2 x}\right)+4 e^5\right)-\frac{x}{2}",1,"-20*E^(2*x) - x/2","A",1
5306,1,18,19,0.0657292,"\int \frac{-4-16 e^{16}+\left(-4-16 e^{16}+16 x\right) \log \left(\frac{1}{4} \left(-1-4 e^{16}+4 x\right)\right)}{x^2+4 e^{16} x^2-4 x^3} \, dx","Integrate[(-4 - 16*E^16 + (-4 - 16*E^16 + 16*x)*Log[(-1 - 4*E^16 + 4*x)/4])/(x^2 + 4*E^16*x^2 - 4*x^3),x]","\frac{4 \left(\log \left(x-e^{16}-\frac{1}{4}\right)+1\right)}{x}","\frac{4 \left(x+\log \left(x-e^{16}-\frac{1}{4}\right)+1\right)}{x}",1,"(4*(1 + Log[-1/4 - E^16 + x]))/x","A",1
5307,1,22,22,1.0466975,"\int \frac{\exp \left(\exp \left(\frac{3}{81+108 e+54 e^2+12 e^3+e^4+(-12-4 e) e^{12+3 x^2}+e^{16+4 x^2}+e^{8+2 x^2} \left(54+36 e+6 e^2\right)+e^{4+x^2} \left(-108-108 e-36 e^2-4 e^3\right)}\right)\right) \left(-243-405 e-270 e^2-90 e^3-15 e^4-e^5+(-15-5 e) e^{16+4 x^2}+e^{20+5 x^2}+e^{12+3 x^2} \left(90+60 e+10 e^2\right)+e^{8+2 x^2} \left(-270-270 e-90 e^2-10 e^3\right)+e^{4+x^2} \left(405+540 e+270 e^2+60 e^3+5 e^4\right)-24 \exp \left(4+\frac{3}{81+108 e+54 e^2+12 e^3+e^4+(-12-4 e) e^{12+3 x^2}+e^{16+4 x^2}+e^{8+2 x^2} \left(54+36 e+6 e^2\right)+e^{4+x^2} \left(-108-108 e-36 e^2-4 e^3\right)}+x^2\right) x^2\right)}{-243-405 e-270 e^2-90 e^3-15 e^4-e^5+(-15-5 e) e^{16+4 x^2}+e^{20+5 x^2}+e^{12+3 x^2} \left(90+60 e+10 e^2\right)+e^{8+2 x^2} \left(-270-270 e-90 e^2-10 e^3\right)+e^{4+x^2} \left(405+540 e+270 e^2+60 e^3+5 e^4\right)} \, dx","Integrate[(E^E^(3/(81 + 108*E + 54*E^2 + 12*E^3 + E^4 + (-12 - 4*E)*E^(12 + 3*x^2) + E^(16 + 4*x^2) + E^(8 + 2*x^2)*(54 + 36*E + 6*E^2) + E^(4 + x^2)*(-108 - 108*E - 36*E^2 - 4*E^3)))*(-243 - 405*E - 270*E^2 - 90*E^3 - 15*E^4 - E^5 + (-15 - 5*E)*E^(16 + 4*x^2) + E^(20 + 5*x^2) + E^(12 + 3*x^2)*(90 + 60*E + 10*E^2) + E^(8 + 2*x^2)*(-270 - 270*E - 90*E^2 - 10*E^3) + E^(4 + x^2)*(405 + 540*E + 270*E^2 + 60*E^3 + 5*E^4) - 24*E^(4 + 3/(81 + 108*E + 54*E^2 + 12*E^3 + E^4 + (-12 - 4*E)*E^(12 + 3*x^2) + E^(16 + 4*x^2) + E^(8 + 2*x^2)*(54 + 36*E + 6*E^2) + E^(4 + x^2)*(-108 - 108*E - 36*E^2 - 4*E^3)) + x^2)*x^2))/(-243 - 405*E - 270*E^2 - 90*E^3 - 15*E^4 - E^5 + (-15 - 5*E)*E^(16 + 4*x^2) + E^(20 + 5*x^2) + E^(12 + 3*x^2)*(90 + 60*E + 10*E^2) + E^(8 + 2*x^2)*(-270 - 270*E - 90*E^2 - 10*E^3) + E^(4 + x^2)*(405 + 540*E + 270*E^2 + 60*E^3 + 5*E^4)),x]","e^{e^{\frac{3}{\left(e^{x^2+4}-3-e\right)^4}}} x","e^{e^{\frac{3}{\left(e^{x^2+4}-3-e\right)^4}}} x",1,"E^E^(3/(-3 - E + E^(4 + x^2))^4)*x","A",1
5308,0,0,32,7.1265392,"\int \frac{e^x \left(-54+\sqrt{e} (6-6 x)+66 x+12 x^2-6 x^3+(-36+36 x) \log (2)+(-6+6 x) \log ^2(2)\right)}{81 x^2+e x^2-18 x^3-17 x^4+2 x^5+x^6+\sqrt{e} \left(-18 x^2+2 x^3+2 x^4\right)+\left(108 x^2-12 \sqrt{e} x^2-12 x^3-12 x^4\right) \log (2)+\left(54 x^2-2 \sqrt{e} x^2-2 x^3-2 x^4\right) \log ^2(2)+12 x^2 \log ^3(2)+x^2 \log ^4(2)} \, dx","Integrate[(E^x*(-54 + Sqrt[E]*(6 - 6*x) + 66*x + 12*x^2 - 6*x^3 + (-36 + 36*x)*Log[2] + (-6 + 6*x)*Log[2]^2))/(81*x^2 + E*x^2 - 18*x^3 - 17*x^4 + 2*x^5 + x^6 + Sqrt[E]*(-18*x^2 + 2*x^3 + 2*x^4) + (108*x^2 - 12*Sqrt[E]*x^2 - 12*x^3 - 12*x^4)*Log[2] + (54*x^2 - 2*Sqrt[E]*x^2 - 2*x^3 - 2*x^4)*Log[2]^2 + 12*x^2*Log[2]^3 + x^2*Log[2]^4),x]","\int \frac{e^x \left(-54+\sqrt{e} (6-6 x)+66 x+12 x^2-6 x^3+(-36+36 x) \log (2)+(-6+6 x) \log ^2(2)\right)}{81 x^2+e x^2-18 x^3-17 x^4+2 x^5+x^6+\sqrt{e} \left(-18 x^2+2 x^3+2 x^4\right)+\left(108 x^2-12 \sqrt{e} x^2-12 x^3-12 x^4\right) \log (2)+\left(54 x^2-2 \sqrt{e} x^2-2 x^3-2 x^4\right) \log ^2(2)+12 x^2 \log ^3(2)+x^2 \log ^4(2)} \, dx","\frac{6 e^x}{x \left(-x^2-x-\sqrt{e}+(3+\log (2))^2\right)}",1,"Integrate[(E^x*(-54 + Sqrt[E]*(6 - 6*x) + 66*x + 12*x^2 - 6*x^3 + (-36 + 36*x)*Log[2] + (-6 + 6*x)*Log[2]^2))/(81*x^2 + E*x^2 - 18*x^3 - 17*x^4 + 2*x^5 + x^6 + Sqrt[E]*(-18*x^2 + 2*x^3 + 2*x^4) + (108*x^2 - 12*Sqrt[E]*x^2 - 12*x^3 - 12*x^4)*Log[2] + (54*x^2 - 2*Sqrt[E]*x^2 - 2*x^3 - 2*x^4)*Log[2]^2 + 12*x^2*Log[2]^3 + x^2*Log[2]^4), x]","F",-1
5309,1,16,16,0.0072645,"\int \frac{-72 x-36 x^2}{1+2 x+2 x^2+x^3} \, dx","Integrate[(-72*x - 36*x^2)/(1 + 2*x + 2*x^2 + x^3),x]","-36 \left(\log \left(x^2+x+1\right)-\log (x+1)\right)","4-36 \log \left(\frac{x}{x^2+x}+x\right)",1,"-36*(-Log[1 + x] + Log[1 + x + x^2])","A",1
5310,1,9,13,0.0022494,"\int \frac{5+2 x}{4+5 x+x^2} \, dx","Integrate[(5 + 2*x)/(4 + 5*x + x^2),x]","\log \left(x^2+5 x+4\right)","\log ((x+1) (x+4))+e^5+2",1,"Log[4 + 5*x + x^2]","A",1
5311,1,25,26,0.0178587,"\int \frac{-12 x+60 e^x x^3+e^{e^3 x} \left(2-e^3 x\right)}{60 x^3} \, dx","Integrate[(-12*x + 60*E^x*x^3 + E^(E^3*x)*(2 - E^3*x))/(60*x^3),x]","-\frac{e^{e^3 x}}{60 x^2}+e^x+\frac{1}{5 x}","\frac{2 x-\frac{e^{e^3 x}}{6}}{10 x^2}+e^x",1,"E^x - E^(E^3*x)/(60*x^2) + 1/(5*x)","A",1
5312,1,16,18,0.0020922,"\int \frac{x^3+4 \log (3)}{x^3 \log (3)} \, dx","Integrate[(x^3 + 4*Log[3])/(x^3*Log[3]),x]","\frac{x-\frac{\log (81)}{2 x^2}}{\log (3)}","-\frac{2}{x^2}+\frac{x}{\log (3)}-e^{10}+1",1,"(x - Log[81]/(2*x^2))/Log[3]","A",1
5313,1,24,24,0.1389956,"\int \frac{-2 e^{3+x}+\left(e^x \left(-1+e^3 \left(4 x+4 x^2\right)\right)-e^x x \log (x)\right) \log \left(x^2\right)-e^{3+x} x \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)}{x \log \left(x^2\right)} \, dx","Integrate[(-2*E^(3 + x) + (E^x*(-1 + E^3*(4*x + 4*x^2)) - E^x*x*Log[x])*Log[x^2] - E^(3 + x)*x*Log[x^2]*Log[Log[x^2]])/(x*Log[x^2]),x]","e^x \left(e^3 \left(4 x-\log \left(\log \left(x^2\right)\right)\right)-\log (x)\right)","e^x \left(e^3 \left(4 x-\log \left(\log \left(x^2\right)\right)\right)-\log (x)\right)",1,"E^x*(-Log[x] + E^3*(4*x - Log[Log[x^2]]))","A",1
5314,1,21,22,0.2285303,"\int \frac{1-e^{e^{20}}-x^2-\log (x)}{e^{2 e^{20}}+4 x^2-4 x^3+x^4+e^{e^{20}} \left(4 x-2 x^2\right)+\left(2 e^{e^{20}}+4 x-2 x^2\right) \log (x)+\log ^2(x)} \, dx","Integrate[(1 - E^E^20 - x^2 - Log[x])/(E^(2*E^20) + 4*x^2 - 4*x^3 + x^4 + E^E^20*(4*x - 2*x^2) + (2*E^E^20 + 4*x - 2*x^2)*Log[x] + Log[x]^2),x]","-\frac{x}{-x^2+2 x+\log (x)+e^{e^{20}}}","\frac{x}{x^2-2 x-\log (x)-e^{e^{20}}}",1,"-(x/(E^E^20 + 2*x - x^2 + Log[x]))","A",1
5315,1,12,12,0.0129171,"\int \frac{8 x-12 x^2+4 x^3}{e+4 x^2-4 x^3+x^4} \, dx","Integrate[(8*x - 12*x^2 + 4*x^3)/(E + 4*x^2 - 4*x^3 + x^4),x]","\log \left((x-2)^2 x^2+e\right)","\log \left(\left(x^2-2 x\right)^2+e\right)",1,"Log[E + (-2 + x)^2*x^2]","A",1
5316,1,20,23,0.1547151,"\int \frac{78125+78125 x^3+e^3 \left(-15625-15625 x^3\right)+\left(-234375 x^3+46875 e^3 x^3\right) \log \left(\frac{x}{2}\right)}{x+2 x^4+x^7} \, dx","Integrate[(78125 + 78125*x^3 + E^3*(-15625 - 15625*x^3) + (-234375*x^3 + 46875*E^3*x^3)*Log[x/2])/(x + 2*x^4 + x^7),x]","-\frac{15625 \left(e^3-5\right) \log \left(\frac{x}{2}\right)}{x^3+1}","\frac{15625 \left(5-e^3\right) x \log \left(\frac{x}{2}\right)}{x^4+x}",1,"(-15625*(-5 + E^3)*Log[x/2])/(1 + x^3)","A",1
5317,1,26,26,1.0432931,"\int \frac{-4 x^4-2 x^5+\left(4 x^2+4 x^3+2 x^4+2 x^5\right) \log \left(2+x^2\right)+\left(4 x^2+4 x^3+2 x^4+2 x^5+e^x \left(-4+4 x+2 x^3+x^4\right)\right) \log ^2\left(2+x^2\right)}{\left(2 x^2+x^4\right) \log ^2\left(2+x^2\right)} \, dx","Integrate[(-4*x^4 - 2*x^5 + (4*x^2 + 4*x^3 + 2*x^4 + 2*x^5)*Log[2 + x^2] + (4*x^2 + 4*x^3 + 2*x^4 + 2*x^5 + E^x*(-4 + 4*x + 2*x^3 + x^4))*Log[2 + x^2]^2)/((2*x^2 + x^4)*Log[2 + x^2]^2),x]","\frac{(x+2) \left(x^2+\frac{x^2}{\log \left(x^2+2\right)}+e^x\right)}{x}","(x+2) \left(\frac{\frac{x^2}{\log \left(x^2+2\right)}+e^x}{x}+x\right)",1,"((2 + x)*(E^x + x^2 + x^2/Log[2 + x^2]))/x","A",1
5318,1,39,25,0.6804566,"\int \frac{-8-36 x-48 x^2-16 x^3+(-12-24 x) \log (x)+(6+24 x) \log ^2(x)}{16+80 x+132 x^2+80 x^3+16 x^4+\left(-16 x-72 x^2-96 x^3-32 x^4\right) \log (x)+\left(-24-60 x-20 x^2+16 x^3+16 x^4\right) \log ^2(x)+\left(12 x+24 x^2\right) \log ^3(x)+9 \log ^4(x)} \, dx","Integrate[(-8 - 36*x - 48*x^2 - 16*x^3 + (-12 - 24*x)*Log[x] + (6 + 24*x)*Log[x]^2)/(16 + 80*x + 132*x^2 + 80*x^3 + 16*x^4 + (-16*x - 72*x^2 - 96*x^3 - 32*x^4)*Log[x] + (-24 - 60*x - 20*x^2 + 16*x^3 + 16*x^4)*Log[x]^2 + (12*x + 24*x^2)*Log[x]^3 + 9*Log[x]^4),x]","\frac{2 \left(2 x^2+x\right)}{-4 x^2+4 x^2 \log (x)-10 x+3 \log ^2(x)+2 x \log (x)-4}","\frac{x}{-x+\log (x) \left(x+\frac{6 \log (x)}{8 x+4}\right)-2}",1,"(2*(x + 2*x^2))/(-4 - 10*x - 4*x^2 + 2*x*Log[x] + 4*x^2*Log[x] + 3*Log[x]^2)","A",1
5319,1,45,31,0.0435961,"\int \frac{-74+762 x-1320 x^2+754 x^3-132 x^4-12 x^5+4 x^6}{-8176-6428 x-120 x^2-1516 x^3+424 x^4+24 x^5-32 x^6+4 x^7+\left(-2044-1607 x-30 x^2-379 x^3+106 x^4+6 x^5-8 x^6+x^7\right) \log \left(\frac{511+274 x-61 x^2+110 x^3-54 x^4+12 x^5-x^6}{64+32 x+4 x^2}\right)} \, dx","Integrate[(-74 + 762*x - 1320*x^2 + 754*x^3 - 132*x^4 - 12*x^5 + 4*x^6)/(-8176 - 6428*x - 120*x^2 - 1516*x^3 + 424*x^4 + 24*x^5 - 32*x^6 + 4*x^7 + (-2044 - 1607*x - 30*x^2 - 379*x^3 + 106*x^4 + 6*x^5 - 8*x^6 + x^7)*Log[(511 + 274*x - 61*x^2 + 110*x^3 - 54*x^4 + 12*x^5 - x^6)/(64 + 32*x + 4*x^2)]),x]","\log \left(-\log \left(\frac{-x^6+12 x^5-54 x^4+110 x^3-61 x^2+274 x+511}{4 (x+4)^2}\right)-4\right)","\log \left(\log \left(8-\frac{\left((x-3)^2-\frac{1}{x}\right)^2 x^2}{4 (x+4)^2}\right)+4\right)",1,"Log[-4 - Log[(511 + 274*x - 61*x^2 + 110*x^3 - 54*x^4 + 12*x^5 - x^6)/(4*(4 + x)^2)]]","A",1
5320,1,23,21,0.2327032,"\int \frac{1}{2} \left(-2+e^{x^3+e^{x^2} x^3} \left(3 x^2+e^{x^2} \left(3 x^2+2 x^4\right)\right)\right) \, dx","Integrate[(-2 + E^(x^3 + E^x^2*x^3)*(3*x^2 + E^x^2*(3*x^2 + 2*x^4)))/2,x]","\frac{1}{2} e^{x^3+e^{x^2} x^3}-x","\frac{1}{2} e^{\left(e^{x^2}+1\right) x^3}-x",1,"E^(x^3 + E^x^2*x^3)/2 - x","A",1
5321,1,15,24,0.0112997,"\int \frac{5 x^3+e^x (-2+x) \log (\log (5))}{5 x^3} \, dx","Integrate[(5*x^3 + E^x*(-2 + x)*Log[Log[5]])/(5*x^3),x]","\frac{e^x \log (\log (5))}{5 x^2}+x","x+\frac{\left(\frac{e^x}{x}-x\right) \log (\log (5))}{5 x}-16",1,"x + (E^x*Log[Log[5]])/(5*x^2)","A",1
5322,1,39,24,0.3126137,"\int \frac{e^{-3+x} x \left(x^2+(-5-5 x) \log ^2(3)+(1+x) (i \pi +\log (3))\right)}{x^3+25 x \log ^4(3)+2 x^2 (i \pi +\log (3))+x (i \pi +\log (3))^2+\log ^2(3) \left(-10 x^2-10 x (i \pi +\log (3))\right)} \, dx","Integrate[(E^(-3 + x)*x*(x^2 + (-5 - 5*x)*Log[3]^2 + (1 + x)*(I*Pi + Log[3])))/(x^3 + 25*x*Log[3]^4 + 2*x^2*(I*Pi + Log[3]) + x*(I*Pi + Log[3])^2 + Log[3]^2*(-10*x^2 - 10*x*(I*Pi + Log[3]))),x]","\frac{e^{x-3} x (x+i \pi -\log (3) \log (243)+\log (3))}{\left(x+i \pi -5 \log ^2(3)+\log (3)\right)^2}","\frac{e^{x-3} x}{x+i \pi -5 \log ^2(3)+\log (3)}",1,"(E^(-3 + x)*x*(I*Pi + x + Log[3] - Log[3]*Log[243]))/(I*Pi + x + Log[3] - 5*Log[3]^2)^2","A",1
5323,1,17,19,0.0322864,"\int \frac{-40-392 x+320 x \log (2 x)}{x+16 x^2+64 x^3} \, dx","Integrate[(-40 - 392*x + 320*x*Log[2*x])/(x + 16*x^2 + 64*x^3),x]","\frac{8 (9-40 \log (2 x))}{64 x+8}","\frac{-x-5 \log (2 x)+1}{x+\frac{1}{8}}",1,"(8*(9 - 40*Log[2*x]))/(8 + 64*x)","A",1
5324,1,26,25,0.0679001,"\int \frac{-4+e^{7-2 x^2-x \log (9)} \left(784 x+448 x^2+64 x^3+\left(196+112 x+16 x^2\right) \log (9)\right)}{49+28 x+4 x^2} \, dx","Integrate[(-4 + E^(7 - 2*x^2 - x*Log[9])*(784*x + 448*x^2 + 64*x^3 + (196 + 112*x + 16*x^2)*Log[9]))/(49 + 28*x + 4*x^2),x]","\frac{2}{2 x+7}-4\ 9^{-x} e^{7-2 x^2}","\frac{2}{2 x+7}-4 e^{7-x (2 x+\log (9))}",1,"(-4*E^(7 - 2*x^2))/9^x + 2/(7 + 2*x)","A",1
5325,1,21,21,0.0368739,"\int \frac{-8+406 x+78 x^2-6 x^3+\left(8 x+2 x^2\right) \log \left(e^{x^2} x\right)+\left(2-102 x+6 x^2-2 x \log \left(e^{x^2} x\right)\right) \log \left(-50+x-\log \left(e^{x^2} x\right)\right)}{50 x-x^2+x \log \left(e^{x^2} x\right)} \, dx","Integrate[(-8 + 406*x + 78*x^2 - 6*x^3 + (8*x + 2*x^2)*Log[E^x^2*x] + (2 - 102*x + 6*x^2 - 2*x*Log[E^x^2*x])*Log[-50 + x - Log[E^x^2*x]])/(50*x - x^2 + x*Log[E^x^2*x]),x]","\left(-\log \left(-\log \left(e^{x^2} x\right)+x-50\right)+x+4\right)^2","\left(\log \left(-\log \left(e^{x^2} x\right)+x-50\right)-x-4\right)^2",1,"(4 + x - Log[-50 + x - Log[E^x^2*x]])^2","A",1
5326,1,26,22,0.040715,"\int \frac{1}{3} \left(60+40 x+e^{3-e-x^2} \left(-20+40 x^2\right)\right) \, dx","Integrate[(60 + 40*x + E^(3 - E - x^2)*(-20 + 40*x^2))/3,x]","\frac{20}{3} \left(x^2-e^{-x^2-e+3} x+3 x\right)","\frac{20}{3} x \left(-e^{-x^2-e+3}+x+3\right)",1,"(20*(3*x - E^(3 - E - x^2)*x + x^2))/3","A",1
5327,1,25,31,9.1598407,"\int \frac{16^{-e^x-x} e^{16^{-e^x-x} (5-x)^{e^x+x}} (5-x)^{e^x+x} \left(e^x+x+\left(-5+e^x (-5+x)+x\right) \log \left(\frac{5-x}{16}\right)\right)}{-5+x} \, dx","Integrate[(16^(-E^x - x)*E^(16^(-E^x - x)*(5 - x)^(E^x + x))*(5 - x)^(E^x + x)*(E^x + x + (-5 + E^x*(-5 + x) + x)*Log[(5 - x)/16]))/(-5 + x),x]","e^{16^{-x-e^x} (5-x)^{x+e^x}}","e^{4^{-x-e^x} \left(\frac{1-x}{4}+1\right)^{x+e^x}}",1,"E^(16^(-E^x - x)*(5 - x)^(E^x + x))","A",1
5328,1,12,19,0.0029974,"\int \frac{24 x+16 e^4 x^{15}}{e^4} \, dx","Integrate[(24*x + 16*E^4*x^15)/E^4,x]","x^{16}+\frac{12 x^2}{e^4}","x^{16}+12 \left(\frac{x^2}{e^4}-e^2\right)",1,"(12*x^2)/E^4 + x^16","A",1
5329,1,28,29,0.0133224,"\int \frac{-1+\left(1+2 x+48 x^2\right) \log (x)-2 x \log ^2(x)-2 x \log ^3(x)+\log (x) \log \left(\frac{2 x}{\log (x)}\right)}{\log (x)} \, dx","Integrate[(-1 + (1 + 2*x + 48*x^2)*Log[x] - 2*x*Log[x]^2 - 2*x*Log[x]^3 + Log[x]*Log[(2*x)/Log[x]])/Log[x],x]","16 x^3+x^2-x^2 \log ^2(x)+x \log \left(\frac{2 x}{\log (x)}\right)","x \left(16 x^2-2 x+x \left(3-\log ^2(x)\right)+\log \left(\frac{2 x}{\log (x)}\right)\right)",1,"x^2 + 16*x^3 - x^2*Log[x]^2 + x*Log[(2*x)/Log[x]]","A",1
5330,1,24,24,0.1948246,"\int \frac{e^{2 e^{2 x}+\frac{e^{2 e^{2 x}+x+\frac{8}{1+x}}}{x}+\frac{8}{1+x}} \left(e^x \left(-1-9 x+x^2+x^3\right)+e^{3 x} \left(4 x+8 x^2+4 x^3\right)\right)}{x^2+2 x^3+x^4} \, dx","Integrate[(E^(2*E^(2*x) + E^(2*E^(2*x) + x + 8/(1 + x))/x + 8/(1 + x))*(E^x*(-1 - 9*x + x^2 + x^3) + E^(3*x)*(4*x + 8*x^2 + 4*x^3)))/(x^2 + 2*x^3 + x^4),x]","e^{\frac{e^{x+2 e^{2 x}+\frac{8}{x+1}}}{x}}","e^{\frac{e^{x+2 e^{2 x}+\frac{8}{x+1}}}{x}}",1,"E^(E^(2*E^(2*x) + x + 8/(1 + x))/x)","A",1
5331,1,15,19,0.0550781,"\int \frac{1}{3} e^{\frac{1}{3} \left(8-10 x-3 x^2+e (4+x)\right)} (-10+e-6 x) \, dx","Integrate[(E^((8 - 10*x - 3*x^2 + E*(4 + x))/3)*(-10 + E - 6*x))/3,x]","e^{\frac{1}{3} (-3 x+e+2) (x+4)}","e^{\frac{1}{3} (-x-4) (3 x-e-2)}",1,"E^(((2 + E - 3*x)*(4 + x))/3)","A",1
5332,1,26,20,1.0615284,"\int \frac{e^x \left(x-x^2\right)+e^{e^x} \left(200 e^{4 x}+600 e^{3 x} x+600 e^{2 x} x^2+200 e^x x^3\right)}{200 e^{3 x}+600 e^{2 x} x+600 e^x x^2+200 x^3} \, dx","Integrate[(E^x*(x - x^2) + E^E^x*(200*E^(4*x) + 600*E^(3*x)*x + 600*E^(2*x)*x^2 + 200*E^x*x^3))/(200*E^(3*x) + 600*E^(2*x)*x + 600*E^x*x^2 + 200*x^3),x]","\frac{1}{200} \left(\frac{x^2}{2 \left(x+e^x\right)^2}+200 e^{e^x}\right)","\frac{x^2}{400 \left(x+e^x\right)^2}+e^{e^x}",1,"(200*E^E^x + x^2/(2*(E^x + x)^2))/200","A",1
5333,1,27,27,0.0923806,"\int \frac{1344 x-592 x^2+64 x^3+e^x \left(48-48 x+12 x^2\right)+e^x \left(-252+300 x-111 x^2+12 x^3\right) \log \left(\frac{1}{4} (21-4 x)\right)}{-252+300 x-111 x^2+12 x^3} \, dx","Integrate[(1344*x - 592*x^2 + 64*x^3 + E^x*(48 - 48*x + 12*x^2) + E^x*(-252 + 300*x - 111*x^2 + 12*x^3)*Log[(21 - 4*x)/4])/(-252 + 300*x - 111*x^2 + 12*x^3),x]","\frac{16 x}{3}+\frac{64}{3 (x-2)}+e^x \log \left(\frac{21}{4}-x\right)","e^x \log \left(\frac{21}{4}-x\right)-\frac{16 x^2}{3 (2-x)}",1,"64/(3*(-2 + x)) + (16*x)/3 + E^x*Log[21/4 - x]","A",1
5334,1,16,15,0.000871,"\int \frac{-7 x-2 x^2+3 e^3 x^3}{x} \, dx","Integrate[(-7*x - 2*x^2 + 3*E^3*x^3)/x,x]","e^3 x^3-x^2-7 x","e^{3 (\log (x)+1)}-x (x+7)",1,"-7*x - x^2 + E^3*x^3","A",1
5335,1,28,25,0.0528453,"\int \frac{-20-6 x-2 x^2-5 \log \left(\frac{4 e^{x^2}}{x}\right)-5 \log (x)+\left(4+x+\log \left(\frac{4 e^{x^2}}{x}\right)+\log (x)\right) \log \left(4+x+\log \left(\frac{4 e^{x^2}}{x}\right)+\log (x)\right)}{4 x^2+x^3+x^2 \log \left(\frac{4 e^{x^2}}{x}\right)+x^2 \log (x)} \, dx","Integrate[(-20 - 6*x - 2*x^2 - 5*Log[(4*E^x^2)/x] - 5*Log[x] + (4 + x + Log[(4*E^x^2)/x] + Log[x])*Log[4 + x + Log[(4*E^x^2)/x] + Log[x]])/(4*x^2 + x^3 + x^2*Log[(4*E^x^2)/x] + x^2*Log[x]),x]","\frac{5}{x}-\frac{\log \left(\log \left(\frac{4 e^{x^2}}{x}\right)+x+\log (x)+4\right)}{x}","\frac{5-\log \left(\log \left(\frac{4 e^{x^2}}{x}\right)+x+\log (x)+4\right)}{x}",1,"5/x - Log[4 + x + Log[(4*E^x^2)/x] + Log[x]]/x","A",1
5336,1,16,21,0.0029178,"\int \frac{e^4 \left(-8-2 e^{4+e^3}\right) \left(8+2 e^{4+e^3}-x\right)}{2 \left(8 x^2+2 e^{4+e^3} x^2-x^3\right)} \, dx","Integrate[(E^4*(-8 - 2*E^(4 + E^3))*(8 + 2*E^(4 + E^3) - x))/(2*(8*x^2 + 2*E^(4 + E^3)*x^2 - x^3)),x]","\frac{e^4 \left(4+e^{4+e^3}\right)}{x}","\frac{e^4 \left(-\frac{x}{2}+e^{4+e^3}+4\right)}{x}",1,"(E^4*(4 + E^(4 + E^3)))/x","A",1
5337,1,21,21,0.0080361,"\int \frac{1}{5} e^{e^{-e^4} \left(1+2 e^{e^4}\right)+x} \left(10+4 x+2 x^2\right) \, dx","Integrate[(E^((1 + 2*E^E^4)/E^E^4 + x)*(10 + 4*x + 2*x^2))/5,x]","\frac{2}{5} e^{x+e^{-e^4}+2} \left(x^2+5\right)","\frac{2}{5} e^{x+e^{-e^4}+2} \left(x^2+5\right)",1,"(2*E^(2 + E^(-E^4) + x)*(5 + x^2))/5","A",1
5338,1,25,25,0.1377745,"\int \frac{e^{-14+\frac{4}{11 x}+\frac{3}{1+x}} \left(-4+14 x+7 x^2+22 x^3\right)}{22+44 x+22 x^2} \, dx","Integrate[(E^(-14 + 4/(11*x) + 3/(1 + x))*(-4 + 14*x + 7*x^2 + 22*x^3))/(22 + 44*x + 22*x^2),x]","\frac{1}{2} e^{\frac{3}{x+1}+\frac{4}{11 x}-14} x^2","\frac{1}{2} e^{\frac{3}{x+1}+\frac{4}{11 x}-14} x^2",1,"(E^(-14 + 4/(11*x) + 3/(1 + x))*x^2)/2","A",1
5339,1,24,28,0.0244158,"\int \frac{1}{9} \left(5+2 i \pi +2 x+27 x^2+e^x \left(18 x+9 x^2\right)\right) \, dx","Integrate[(5 + (2*I)*Pi + 2*x + 27*x^2 + E^x*(18*x + 9*x^2))/9,x]","\frac{1}{9} x \left(9 x^2+9 e^x x+x+2 i \pi +5\right)","x+\left(\frac{(x+i \pi -2)^2}{9 x^2}+e^x+x\right) x^2",1,"(x*(5 + (2*I)*Pi + x + 9*E^x*x + 9*x^2))/9","A",1
5340,0,0,27,0.2701821,"\int \frac{\exp \left(\frac{4-2 \log \left(\frac{x^2-\log (4)+\log (x)}{6+x}\right)}{\log \left(\frac{x^2-\log (4)+\log (x)}{6+x}\right)}\right) \left(-24-4 x-48 x^2-4 x^3-4 x \log (4)+4 x \log (x)\right)}{\left(6 x^3+x^4+\left(-6 x-x^2\right) \log (4)+\left(6 x+x^2\right) \log (x)\right) \log ^2\left(\frac{x^2-\log (4)+\log (x)}{6+x}\right)} \, dx","Integrate[(E^((4 - 2*Log[(x^2 - Log[4] + Log[x])/(6 + x)])/Log[(x^2 - Log[4] + Log[x])/(6 + x)])*(-24 - 4*x - 48*x^2 - 4*x^3 - 4*x*Log[4] + 4*x*Log[x]))/((6*x^3 + x^4 + (-6*x - x^2)*Log[4] + (6*x + x^2)*Log[x])*Log[(x^2 - Log[4] + Log[x])/(6 + x)]^2),x]","\int \frac{\exp \left(\frac{4-2 \log \left(\frac{x^2-\log (4)+\log (x)}{6+x}\right)}{\log \left(\frac{x^2-\log (4)+\log (x)}{6+x}\right)}\right) \left(-24-4 x-48 x^2-4 x^3-4 x \log (4)+4 x \log (x)\right)}{\left(6 x^3+x^4+\left(-6 x-x^2\right) \log (4)+\left(6 x+x^2\right) \log (x)\right) \log ^2\left(\frac{x^2-\log (4)+\log (x)}{6+x}\right)} \, dx","e^{\frac{4}{\log \left(\frac{x^2+\log (x)-\log (4)}{x+6}\right)}-2}+2",1,"Integrate[(E^((4 - 2*Log[(x^2 - Log[4] + Log[x])/(6 + x)])/Log[(x^2 - Log[4] + Log[x])/(6 + x)])*(-24 - 4*x - 48*x^2 - 4*x^3 - 4*x*Log[4] + 4*x*Log[x]))/((6*x^3 + x^4 + (-6*x - x^2)*Log[4] + (6*x + x^2)*Log[x])*Log[(x^2 - Log[4] + Log[x])/(6 + x)]^2), x]","F",-1
5341,1,9,23,0.0000823,"\int \left(-1-3 x^2\right) \, dx","Integrate[-1 - 3*x^2,x]","-x^3-x","-x^2-\left(x^2-x\right) x-x+e^4+2",1,"-x - x^3","A",1
5342,1,12,9,0.0006191,"\int \frac{4-e^3}{x^2} \, dx","Integrate[(4 - E^3)/x^2,x]","-\frac{4-e^3}{x}","\frac{e^3-4}{x}",1,"-((4 - E^3)/x)","A",1
5343,1,16,17,0.0094753,"\int \frac{-3+4 x^4-4 e^{-1+x} x^4}{4 x^4} \, dx","Integrate[(-3 + 4*x^4 - 4*E^(-1 + x)*x^4)/(4*x^4),x]","\frac{1}{4 x^3}+x-e^{x-1}","\frac{1}{4 x^3}+x-e^{x-1}-2",1,"-E^(-1 + x) + 1/(4*x^3) + x","A",1
5344,1,61,23,2.1390667,"\int \frac{\exp \left(\frac{e^x \left(i \pi +\log \left(\frac{13}{6}\right)\right)-x \left(i \pi +\log \left(\frac{13}{6}\right)\right)}{x^6}\right) \left(e^x (-6+x) \left(i \pi +\log \left(\frac{13}{6}\right)\right)+5 x \left(i \pi +\log \left(\frac{13}{6}\right)\right)\right)}{x^7} \, dx","Integrate[(E^((E^x*(I*Pi + Log[13/6]) - x*(I*Pi + Log[13/6]))/x^6)*(E^x*(-6 + x)*(I*Pi + Log[13/6]) + 5*x*(I*Pi + Log[13/6])))/x^7,x]","-\frac{i \left(\frac{6}{13}\right)^{\frac{1}{x^5}} \left(\log \left(\frac{13}{6}\right)+i \pi \right) e^{\frac{e^x \left(\log \left(\frac{13}{6}\right)+i \pi \right)}{x^6}-\frac{i \pi }{x^5}}}{\pi -i \log \left(\frac{13}{6}\right)}","e^{\frac{\left(e^x-x\right) \left(\log \left(\frac{13}{6}\right)+i \pi \right)}{x^6}}",1,"((-I)*(6/13)^x^(-5)*E^(((-I)*Pi)/x^5 + (E^x*(I*Pi + Log[13/6]))/x^6)*(I*Pi + Log[13/6]))/(Pi - I*Log[13/6])","B",1
5345,1,14,18,0.0021751,"\int -\frac{18}{e^5+e^2 (-5-2 x)} \, dx","Integrate[-18/(E^5 + E^2*(-5 - 2*x)),x]","\frac{9 \log \left(-2 x+e^3-5\right)}{e^2}","\frac{9 \log \left(\frac{5}{2} \left(-2 x+e^3-5\right)\right)}{e^2}",1,"(9*Log[-5 + E^3 - 2*x])/E^2","A",1
5346,1,26,28,0.0608053,"\int \frac{e^{-2 e^{\frac{x^2+\log (x)}{4 \log (2)}}} \left(e^{\frac{x^2+\log (x)}{4 \log (2)}} \left(-x-2 x^3\right) \log (4)+4 x \log (2) \log (4)\right)}{2 \log (2)} \, dx","Integrate[(E^((x^2 + Log[x])/(4*Log[2]))*(-x - 2*x^3)*Log[4] + 4*x*Log[2]*Log[4])/(2*E^(2*E^((x^2 + Log[x])/(4*Log[2])))*Log[2]),x]","x^2 \log (4) e^{-2 e^{\frac{x^2}{\log (16)}} x^{\frac{1}{\log (16)}}}","x^2 \log (4) e^{-2 e^{\frac{x^2+\log (x)}{4 \log (2)}}}+4",1,"(x^2*Log[4])/E^(2*E^(x^2/Log[16])*x^Log[16]^(-1))","A",1
5347,1,28,25,0.8104021,"\int \frac{20 x^4-10 x^5+e^{e^x} \left(e^{2 x} \left(-16 x^3+8 x^4-x^5\right)+e^x \left(48 x^2-40 x^3+11 x^4-x^5\right)\right)}{25 x^4+e^{2 e^x+2 x} \left(16-8 x+x^2\right)+e^{e^x+x} \left(40 x^2-10 x^3\right)} \, dx","Integrate[(20*x^4 - 10*x^5 + E^E^x*(E^(2*x)*(-16*x^3 + 8*x^4 - x^5) + E^x*(48*x^2 - 40*x^3 + 11*x^4 - x^5)))/(25*x^4 + E^(2*E^x + 2*x)*(16 - 8*x + x^2) + E^(E^x + x)*(40*x^2 - 10*x^3)),x]","-\frac{(x-4) x^3}{5 x^2-e^{x+e^x} (x-4)}","\frac{x}{\frac{e^{x+e^x}}{x^2}-\frac{5}{x-4}}-2",1,"-(((-4 + x)*x^3)/(-(E^(E^x + x)*(-4 + x)) + 5*x^2))","A",1
5348,1,20,20,0.0814806,"\int \frac{e^5 x+\left(-12 x-4 x^2\right) \log (-3-x)+e^5 (-6-2 x) \log (-3-x) \log (\log (-3-x))}{\left(3 x^3+x^4\right) \log (-3-x)} \, dx","Integrate[(E^5*x + (-12*x - 4*x^2)*Log[-3 - x] + E^5*(-6 - 2*x)*Log[-3 - x]*Log[Log[-3 - x]])/((3*x^3 + x^4)*Log[-3 - x]),x]","\frac{e^5 \log (\log (-x-3))}{x^2}+\frac{4}{x}","\frac{\frac{e^5 \log (\log (-x-3))}{x}+4}{x}",1,"4/x + (E^5*Log[Log[-3 - x]])/x^2","A",1
5349,1,43,35,0.3014782,"\int \frac{-3 x^4-x^6+e^{2 x} \left(-630-225 x^2-675 \log (2)\right)-3 x^4 \log (2)+e^x \left(81 x^2+3 x^3+30 x^4+90 x^2 \log (2)\right)}{225 e^{2 x} x^2-30 e^x x^4+x^6} \, dx","Integrate[(-3*x^4 - x^6 + E^(2*x)*(-630 - 225*x^2 - 675*Log[2]) - 3*x^4*Log[2] + E^x*(81*x^2 + 3*x^3 + 30*x^4 + 90*x^2*Log[2]))/(225*E^(2*x)*x^2 - 30*E^x*x^4 + x^6),x]","\frac{x^2 \left(-x^2+3+\log (8)\right)+3 e^x \left(5 x^2-14-15 \log (2)\right)}{x^3-15 e^x x}","\frac{\frac{e^x}{\frac{x^2}{3}-5 e^x}+3 (x+1+\log (2))}{x}-x",1,"(3*E^x*(-14 + 5*x^2 - 15*Log[2]) + x^2*(3 - x^2 + Log[8]))/(-15*E^x*x + x^3)","A",1
5350,1,27,29,0.0663479,"\int \frac{-5 x+5 x^2+10 x^3+e^{\frac{4+6 x+x^2}{x}} \left(-4+x^2\right)}{5 x^2} \, dx","Integrate[(-5*x + 5*x^2 + 10*x^3 + E^((4 + 6*x + x^2)/x)*(-4 + x^2))/(5*x^2),x]","\frac{1}{5} \left(5 x^2+5 x+e^{x+\frac{4}{x}+6}-5 \log (x)\right)","x^2+x+\frac{1}{5} e^{\frac{(x+5) x+x+4}{x}}-\log (3 x)",1,"(E^(6 + 4/x + x) + 5*x + 5*x^2 - 5*Log[x])/5","A",1
5351,1,59,23,1.3755535,"\int \frac{-202500-202500 x-67500 x^2-7500 x^3+\left(50625+50625 x+16875 x^2+1875 x^3\right) \log (3 x)+\left(40500+35100 x+7200 x^2-900 x^3-300 x^4\right) \log ^2(3 x)+\left(-20250-14850 x+1800 x^3+300 x^4\right) \log ^3(3 x)+\left(2025+945 x-567 x^2-279 x^3+9 x^4+9 x^5\right) \log ^5(3 x)}{\left(27+27 x+9 x^2+x^3\right) \log ^5(3 x)} \, dx","Integrate[(-202500 - 202500*x - 67500*x^2 - 7500*x^3 + (50625 + 50625*x + 16875*x^2 + 1875*x^3)*Log[3*x] + (40500 + 35100*x + 7200*x^2 - 900*x^3 - 300*x^4)*Log[3*x]^2 + (-20250 - 14850*x + 1800*x^3 + 300*x^4)*Log[3*x]^3 + (2025 + 945*x - 567*x^2 - 279*x^3 + 9*x^4 + 9*x^5)*Log[3*x]^5)/((27 + 27*x + 9*x^2 + x^3)*Log[3*x]^5),x]","3 x^3-36 x^2+\frac{150 \left(x^2-3 x-15\right) x}{(x+3) \log ^2(3 x)}+126 x+\frac{513}{x+3}-\frac{81}{(x+3)^2}+\frac{1875 x}{\log ^4(3 x)}","3 x \left(x+\frac{3}{x+3}+\frac{25}{\log ^2(3 x)}-6\right)^2",1,"126*x - 36*x^2 + 3*x^3 - 81/(3 + x)^2 + 513/(3 + x) + (1875*x)/Log[3*x]^4 + (150*x*(-15 - 3*x + x^2))/((3 + x)*Log[3*x]^2)","B",1
5352,1,22,25,0.0784503,"\int \frac{1}{3} \left(-3+e^{\frac{1}{3} \left(3+e^{-13-x}-3 x\right)} \left(-3-e^{-13-x}\right)\right) \, dx","Integrate[(-3 + E^((3 + E^(-13 - x) - 3*x)/3)*(-3 - E^(-13 - x)))/3,x]","e^{-x+\frac{e^{-x-13}}{3}+1}-x","e^{-x+\frac{1}{3} e^{x-2 (x+5)-3}+1}-x",1,"E^(1 + E^(-13 - x)/3 - x) - x","A",1
5353,1,27,23,0.0186711,"\int \frac{15+84 x+63 x^2-12 x^3-20 x^4}{15 x+65 x^2+85 x^3+40 x^4+20 x^5} \, dx","Integrate[(15 + 84*x + 63*x^2 - 12*x^3 - 20*x^4)/(15*x + 65*x^2 + 85*x^3 + 40*x^4 + 20*x^5),x]","\frac{1}{5} \left(-5 \log \left(x^2+x+3\right)-\frac{4}{2 x+1}+5 \log (x)\right)","\log \left(\frac{1}{x+\frac{3}{x}+1}\right)-\frac{4}{5 (2 x+1)}",1,"(-4/(1 + 2*x) + 5*Log[x] - 5*Log[3 + x + x^2])/5","A",1
5354,1,19,19,0.0507898,"\int \frac{32 x^2+16 x^3+1026 x^4+1280 x^5+576 x^6+112 x^7+8 x^8+\left(-64 x-32 x^2-3076 x^3-4096 x^4-1920 x^5-384 x^6-28 x^7\right) \log (3)+\left(32+16 x+3074 x^2+4608 x^3+2304 x^4+480 x^5+36 x^6\right) \log ^2(3)+\left(-1024 x-2048 x^2-1152 x^3-256 x^4-20 x^5\right) \log ^3(3)+\left(256 x+192 x^2+48 x^3+4 x^4\right) \log ^4(3)+\left(2+64 x^2+48 x^3+8 x^4+\left(-64 x-64 x^2-12 x^3\right) \log (3)+\left(16 x+4 x^2\right) \log ^2(3)\right) \log (x)}{x} \, dx","Integrate[(32*x^2 + 16*x^3 + 1026*x^4 + 1280*x^5 + 576*x^6 + 112*x^7 + 8*x^8 + (-64*x - 32*x^2 - 3076*x^3 - 4096*x^4 - 1920*x^5 - 384*x^6 - 28*x^7)*Log[3] + (32 + 16*x + 3074*x^2 + 4608*x^3 + 2304*x^4 + 480*x^5 + 36*x^6)*Log[3]^2 + (-1024*x - 2048*x^2 - 1152*x^3 - 256*x^4 - 20*x^5)*Log[3]^3 + (256*x + 192*x^2 + 48*x^3 + 4*x^4)*Log[3]^4 + (2 + 64*x^2 + 48*x^3 + 8*x^4 + (-64*x - 64*x^2 - 12*x^3)*Log[3] + (16*x + 4*x^2)*Log[3]^2)*Log[x])/x,x]","\left((x+4)^2 (x-\log (3))^2+\log (x)\right)^2","\left((x+4)^2 (x-\log (3))^2+\log (x)\right)^2",1,"((4 + x)^2*(x - Log[3])^2 + Log[x])^2","A",1
5355,1,32,26,1.1896108,"\int \frac{\exp \left(\frac{e^{-\frac{5 x}{3 x+15 \log (4)}} (4+8 x)}{x}-\frac{5 x}{3 x+15 \log (4)}\right) \left(-12 x^2+\left(-220 x-200 x^2\right) \log (4)-300 \log ^2(4)\right)}{3 x^4+30 x^3 \log (4)+75 x^2 \log ^2(4)} \, dx","Integrate[(E^((4 + 8*x)/(E^((5*x)/(3*x + 15*Log[4]))*x) - (5*x)/(3*x + 15*Log[4]))*(-12*x^2 + (-220*x - 200*x^2)*Log[4] - 300*Log[4]^2))/(3*x^4 + 30*x^3*Log[4] + 75*x^2*Log[4]^2),x]","\exp \left(\frac{(2 x+1) 2^{\frac{50}{3 (x+5 \log (4))}+2}}{e^{5/3} x}\right)","e^{2 \left(\frac{2}{x}+4\right) e^{-\frac{5 x}{3 (x+5 \log (4))}}}",1,"E^((2^(2 + 50/(3*(x + 5*Log[4])))*(1 + 2*x))/(E^(5/3)*x))","A",0
5356,1,10,10,0.007037,"\int \frac{e^{3+x^3}+3 e^{3+x^3} x^3 \log (x)}{x} \, dx","Integrate[(E^(3 + x^3) + 3*E^(3 + x^3)*x^3*Log[x])/x,x]","e^{x^3+3} \log (x)","e^{x^3+3} \log (x)",1,"E^(3 + x^3)*Log[x]","A",1
5357,1,21,21,0.6493458,"\int \frac{e^x x \log (x)+e^x x^2 \log ^2(x)+e^{e^{3 e^{-x}}} \left(-3 e^{3 e^{-x}} x \log (x)+e^x x \log ^2(x)\right)+\left(-e^{e^{3 e^{-x}}+x}-e^x x\right) \log \left(e^{e^{3 e^{-x}}}+x\right)}{e^{e^{3 e^{-x}}+x} x \log ^2(x)+e^x x^2 \log ^2(x)} \, dx","Integrate[(E^x*x*Log[x] + E^x*x^2*Log[x]^2 + E^E^(3/E^x)*(-3*E^(3/E^x)*x*Log[x] + E^x*x*Log[x]^2) + (-E^(E^(3/E^x) + x) - E^x*x)*Log[E^E^(3/E^x) + x])/(E^(E^(3/E^x) + x)*x*Log[x]^2 + E^x*x^2*Log[x]^2),x]","x+\frac{\log \left(x+e^{e^{3 e^{-x}}}\right)}{\log (x)}","x+\frac{\log \left(x+e^{e^{3 e^{-x}}}\right)}{\log (x)}",1,"x + Log[E^E^(3/E^x) + x]/Log[x]","A",1
5358,1,11,14,0.0040971,"\int \frac{-5+32 e^x x^2}{x^2} \, dx","Integrate[(-5 + 32*E^x*x^2)/x^2,x]","32 e^x+\frac{5}{x}","32 e^x+\frac{5}{x}-\frac{17}{6}",1,"32*E^x + 5/x","A",1
5359,1,29,26,0.0505162,"\int \frac{270-270 x^3+90 x^6-10 x^9-x^6 \log ^2(x)}{\left(-54 x+54 x^4-18 x^7+2 x^{10}\right) \log ^2(x)} \, dx","Integrate[(270 - 270*x^3 + 90*x^6 - 10*x^9 - x^6*Log[x]^2)/((-54*x + 54*x^4 - 18*x^7 + 2*x^10)*Log[x]^2),x]","\frac{1}{2} \left(\frac{10}{\log (x)}-\frac{3-2 x^3}{6 \left(x^3-3\right)^2}\right)","\frac{x^2}{36 \left(\frac{3}{x^2}-x\right)^2}+\frac{5}{\log (x)}+5",1,"(-1/6*(3 - 2*x^3)/(-3 + x^3)^2 + 10/Log[x])/2","A",1
5360,1,63,37,0.1460063,"\int \frac{-50 x^6-800 x^7-150 x^8+e^{\frac{3+2 e^4 x}{x}} \left(-32 x^3-6 x^4\right)+e^{\frac{3+2 e^4 x}{2 x}} \left(-3 x^3+6 x^4+320 x^5+60 x^6\right)}{2 x^2+80 x^3+820 x^4+400 x^5+50 x^6+e^{\frac{3+2 e^4 x}{x}} \left(32+16 x+2 x^2\right)+e^{\frac{3+2 e^4 x}{2 x}} \left(-16 x-324 x^2-160 x^3-20 x^4\right)} \, dx","Integrate[(-50*x^6 - 800*x^7 - 150*x^8 + E^((3 + 2*E^4*x)/x)*(-32*x^3 - 6*x^4) + E^((3 + 2*E^4*x)/(2*x))*(-3*x^3 + 6*x^4 + 320*x^5 + 60*x^6))/(2*x^2 + 80*x^3 + 820*x^4 + 400*x^5 + 50*x^6 + E^((3 + 2*E^4*x)/x)*(32 + 16*x + 2*x^2) + E^((3 + 2*E^4*x)/(2*x))*(-16*x - 324*x^2 - 160*x^3 - 20*x^4)),x]","-x^3+4 x^2+\frac{x^5}{(x+4) \left(x \left(5 x^2+20 x+1\right)-e^{\frac{3}{2 x}+e^4} (x+4)\right)}-16 x-\frac{256}{x+4}","3-\frac{x^4}{\frac{x}{5 x^2-e^{\frac{3}{2 x}+e^4}}+x+4}",1,"-16*x + 4*x^2 - x^3 - 256/(4 + x) + x^5/((4 + x)*(-(E^(E^4 + 3/(2*x))*(4 + x)) + x*(1 + 20*x + 5*x^2)))","A",1
5361,1,10,13,0.0018323,"\int \left(-e^x+\log (5)\right) \, dx","Integrate[-E^x + Log[5],x]","x \log (5)-e^x","-e^x+x \log (5)-3+\log (2)",1,"-E^x + x*Log[5]","A",1
5362,1,25,25,0.6525942,"\int \frac{2 x^4+e^{\frac{2 x \log ^2(x)-2 \log ^2(x) \log (2 x)}{x^2}} \left(4 e x \log (x)+e (-2-2 x) \log ^2(x)+\left(-4 e \log (x)+4 e \log ^2(x)\right) \log (2 x)\right)}{x^3} \, dx","Integrate[(2*x^4 + E^((2*x*Log[x]^2 - 2*Log[x]^2*Log[2*x])/x^2)*(4*E*x*Log[x] + E*(-2 - 2*x)*Log[x]^2 + (-4*E*Log[x] + 4*E*Log[x]^2)*Log[2*x]))/x^3,x]","x^2+e^{\frac{2 (x-\log (2 x)) \log ^2(x)}{x^2}+1}","x^2+e^{\frac{2 (x-\log (2 x)) \log ^2(x)}{x^2}+1}",1,"E^(1 + (2*Log[x]^2*(x - Log[2*x]))/x^2) + x^2","A",1
5363,1,25,24,0.140432,"\int \frac{-4 x^2+\left(5-e^5+3 x\right) \log (15)}{\left(10 x^2-2 e^5 x^2+2 x^3+\left(-5 x+e^5 x-x^2\right) \log (15)\right) \log \left(\frac{-2 x+\log (15)}{e^{15} x+e^{10} \left(-10 x-2 x^2\right)+e^5 \left(25 x+10 x^2+x^3\right)}\right)} \, dx","Integrate[(-4*x^2 + (5 - E^5 + 3*x)*Log[15])/((10*x^2 - 2*E^5*x^2 + 2*x^3 + (-5*x + E^5*x - x^2)*Log[15])*Log[(-2*x + Log[15])/(E^15*x + E^10*(-10*x - 2*x^2) + E^5*(25*x + 10*x^2 + x^3))]),x]","\log \left(\log \left(\frac{\log (15)-2 x}{e^5 x \left(x-e^5+5\right)^2}\right)\right)","\log \left(\log \left(\frac{\frac{\log (15)}{x}-2}{e^5 \left(-x+e^5-5\right)^2}\right)\right)",1,"Log[Log[(-2*x + Log[15])/(E^5*x*(5 - E^5 + x)^2)]]","A",1
5364,1,28,30,0.0093282,"\int \frac{-6 e+8 x-24 x^2+18 x^3}{4-12 x+9 x^2} \, dx","Integrate[(-6*E + 8*x - 24*x^2 + 18*x^3)/(4 - 12*x + 9*x^2),x]","\frac{(3 x+2) (2-3 x)^2+18 e}{9 (3 x-2)}","x^2+4 \left(-\frac{e}{\left(\frac{5-x}{x}-5\right) x-1}-6+\log (3)\right)",1,"(18*E + (2 - 3*x)^2*(2 + 3*x))/(9*(-2 + 3*x))","A",1
5365,1,19,20,0.1234492,"\int \left(2+\exp \left(e^{\frac{1}{5} (-e+10 x)} x+\frac{1}{5} (-e+10 x)\right) (1+2 x)\right) \, dx","Integrate[2 + E^(E^((-E + 10*x)/5)*x + (-E + 10*x)/5)*(1 + 2*x),x]","2 x+e^{e^{2 x-\frac{e}{5}} x}","2 x+e^{e^{2 x-\frac{e}{5}} x}-1",1,"E^(E^(-1/5*E + 2*x)*x) + 2*x","A",1
5366,1,21,27,0.0481667,"\int \frac{-1+e^{x^2+2 x^4+x^6} \left(2 x+8 x^3+6 x^5\right)}{9+e^{2 x^2+4 x^4+2 x^6}+6 x+x^2+(6+2 x) \log (2) \log (5)+\log ^2(2) \log ^2(5)+e^{x^2+2 x^4+x^6} (-6-2 x-2 \log (2) \log (5))} \, dx","Integrate[(-1 + E^(x^2 + 2*x^4 + x^6)*(2*x + 8*x^3 + 6*x^5))/(9 + E^(2*x^2 + 4*x^4 + 2*x^6) + 6*x + x^2 + (6 + 2*x)*Log[2]*Log[5] + Log[2]^2*Log[5]^2 + E^(x^2 + 2*x^4 + x^6)*(-6 - 2*x - 2*Log[2]*Log[5])),x]","\frac{1}{-e^{\left(x^3+x\right)^2}+x+3+\log (2) \log (5)}","\frac{1}{-e^{x^2 \left(-x^2-1\right)^2}+x+3+\log (2) \log (5)}",1,"(3 - E^(x + x^3)^2 + x + Log[2]*Log[5])^(-1)","A",1
5367,1,17,28,0.0049512,"\int \frac{-12+12 x-36 x^2+48 x^3}{-x+x^2} \, dx","Integrate[(-12 + 12*x - 36*x^2 + 48*x^3)/(-x + x^2),x]","12 \left(2 x^2+x+\log (1-x)+\log (x)\right)","\frac{1}{4} \left(48 \left(\log \left(\frac{3}{25} e^{2 x^2} (1-x) x\right)+x\right)+1\right)",1,"12*(x + 2*x^2 + Log[1 - x] + Log[x])","A",1
5368,1,23,23,0.1052125,"\int \frac{\left(e^x-x \log \left(\frac{1}{5} (-1+5 x)\right)\right)^{e^{-1-e^2}} \left(e^x (1-5 x)+5 x+(-1+5 x) \log \left(\frac{1}{5} (-1+5 x)\right)\right)}{e^{1+e^2+x} (1-5 x)+e^{1+e^2} \left(-x+5 x^2\right) \log \left(\frac{1}{5} (-1+5 x)\right)} \, dx","Integrate[((E^x - x*Log[(-1 + 5*x)/5])^E^(-1 - E^2)*(E^x*(1 - 5*x) + 5*x + (-1 + 5*x)*Log[(-1 + 5*x)/5]))/(E^(1 + E^2 + x)*(1 - 5*x) + E^(1 + E^2)*(-x + 5*x^2)*Log[(-1 + 5*x)/5]),x]","\left(e^x-x \log \left(x-\frac{1}{5}\right)\right)^{e^{-1-e^2}}","\left(e^x-x \log \left(x-\frac{1}{5}\right)\right)^{e^{-1-e^2}}",1,"(E^x - x*Log[-1/5 + x])^E^(-1 - E^2)","A",1
5369,1,25,29,0.2355146,"\int \frac{e^x (3-3 x) \log (3)+\left(-2 e^x \log (3)-2 x \log (3)\right) \log \left(\frac{e^x+x}{x}\right)+\left(3 e^x \log (3)+3 x \log (3)\right) \log \left(\frac{e^x+x}{x}\right) \log \left(\frac{3}{\log \left(\frac{e^x+x}{x}\right)}\right)}{\left(e^x+x\right) \log \left(\frac{e^x+x}{x}\right)} \, dx","Integrate[(E^x*(3 - 3*x)*Log[3] + (-2*E^x*Log[3] - 2*x*Log[3])*Log[(E^x + x)/x] + (3*E^x*Log[3] + 3*x*Log[3])*Log[(E^x + x)/x]*Log[3/Log[(E^x + x)/x]])/((E^x + x)*Log[(E^x + x)/x]),x]","\log (3) \left(3 x \log \left(\frac{3}{\log \left(\frac{x+e^x}{x}\right)}\right)-2 x\right)","\log (3) \left(x+3 \left(-x+x \log \left(\frac{3}{\log \left(\frac{x+e^x}{x}\right)}\right)+3\right)\right)",1,"Log[3]*(-2*x + 3*x*Log[3/Log[(E^x + x)/x]])","A",1
5370,1,46,39,3.1083265,"\int \frac{90 x-114 x^2+46 x^3-6 x^4+e^{\frac{-6+x}{-6+2 x}} \left(21 x-21 x^2+4 x^3\right) \log (2)+\left(198 x-186 x^2+58 x^3-6 x^4\right) \log (2)+\left(90 x-78 x^2+22 x^3-2 x^4+e^{\frac{-6+x}{-6+2 x}} \left(-90+78 x-22 x^2+2 x^3\right) \log (2)+\left(-270+324 x-144 x^2+28 x^3-2 x^4\right) \log (2)\right) \log \left(\frac{-25 x+10 x^2-x^3+e^{\frac{-6+x}{-6+2 x}} \left(25-10 x+x^2\right) \log (2)+\left(75-55 x+13 x^2-x^3\right) \log (2)}{\log (2)}\right)}{90 x-78 x^2+22 x^3-2 x^4+e^{\frac{-6+x}{-6+2 x}} \left(-90+78 x-22 x^2+2 x^3\right) \log (2)+\left(-270+324 x-144 x^2+28 x^3-2 x^4\right) \log (2)} \, dx","Integrate[(90*x - 114*x^2 + 46*x^3 - 6*x^4 + E^((-6 + x)/(-6 + 2*x))*(21*x - 21*x^2 + 4*x^3)*Log[2] + (198*x - 186*x^2 + 58*x^3 - 6*x^4)*Log[2] + (90*x - 78*x^2 + 22*x^3 - 2*x^4 + E^((-6 + x)/(-6 + 2*x))*(-90 + 78*x - 22*x^2 + 2*x^3)*Log[2] + (-270 + 324*x - 144*x^2 + 28*x^3 - 2*x^4)*Log[2])*Log[(-25*x + 10*x^2 - x^3 + E^((-6 + x)/(-6 + 2*x))*(25 - 10*x + x^2)*Log[2] + (75 - 55*x + 13*x^2 - x^3)*Log[2])/Log[2]])/(90*x - 78*x^2 + 22*x^3 - 2*x^4 + E^((-6 + x)/(-6 + 2*x))*(-90 + 78*x - 22*x^2 + 2*x^3)*Log[2] + (-270 + 324*x - 144*x^2 + 28*x^3 - 2*x^4)*Log[2]),x]","\frac{1}{2} \left(2 x \log \left((x-5)^2 \left(e^{\frac{x-6}{2 (x-3)}}+\frac{\log (8)-x (1+\log (2))}{\log (2)}\right)\right)+3\right)","x \log \left((5-x)^2 \left(-x+e^{\frac{1}{2} \left(2-\frac{x}{x-3}\right)}-\frac{x}{\log (2)}+3\right)\right)",1,"(3 + 2*x*Log[(-5 + x)^2*(E^((-6 + x)/(2*(-3 + x))) + (-(x*(1 + Log[2])) + Log[8])/Log[2])])/2","A",1
5371,1,46,21,0.1618387,"\int \frac{-4 x^7+8 x^7 \log (4 x)+\left(-4 x^4-20 x^5\right) \log ^2(4 x)+\left(10 x^4+60 x^5\right) \log ^3(4 x)+\left(2 x+30 x^2+100 x^3\right) \log ^5(4 x)}{\log ^5(4 x)} \, dx","Integrate[(-4*x^7 + 8*x^7*Log[4*x] + (-4*x^4 - 20*x^5)*Log[4*x]^2 + (10*x^4 + 60*x^5)*Log[4*x]^3 + (2*x + 30*x^2 + 100*x^3)*Log[4*x]^5)/Log[4*x]^5,x]","\frac{x^8}{\log ^4(4 x)}+\frac{10 x^6}{\log ^2(4 x)}+\frac{2 x^5}{\log ^2(4 x)}+25 x^4+10 x^3+x^2","x^2 \left(\frac{x^3}{\log ^2(4 x)}+5 x+1\right)^2",1,"x^2 + 10*x^3 + 25*x^4 + x^8/Log[4*x]^4 + (2*x^5)/Log[4*x]^2 + (10*x^6)/Log[4*x]^2","B",1
5372,1,18,12,0.0123183,"\int \frac{-1+4 x^3+8 x^2 \log (16)+4 x \log ^2(16)}{x^2+2 x \log (16)+\log ^2(16)} \, dx","Integrate[(-1 + 4*x^3 + 8*x^2*Log[16] + 4*x*Log[16]^2)/(x^2 + 2*x*Log[16] + Log[16]^2),x]","2 x^2+\frac{1}{x+\log (16)}-2 \log ^2(16)","2 x^2+\frac{1}{x+\log (16)}",1,"2*x^2 - 2*Log[16]^2 + (x + Log[16])^(-1)","A",1
5373,1,63,35,0.029327,"\int \frac{405-648 x^2-288 x^3+216 x^4+48 x^6+128 x^7-48 x^8-48 e^{12} x^8+e^6 \left(72 x^4+96 x^6+128 x^7-96 x^8\right)}{16 x^6} \, dx","Integrate[(405 - 648*x^2 - 288*x^3 + 216*x^4 + 48*x^6 + 128*x^7 - 48*x^8 - 48*E^12*x^8 + E^6*(72*x^4 + 96*x^6 + 128*x^7 - 96*x^8))/(16*x^6),x]","-\frac{81}{16 x^5}-\left(1+e^6\right)^2 x^3+\frac{27}{2 x^3}+4 \left(1+e^6\right) x^2+\frac{9}{x^2}+6 e^6 x+3 x-\frac{9 \left(3+e^6\right)}{2 x}","x-\frac{\left(\frac{9}{4 x^2}-\left(\left(-e^6 x-x+1\right) x\right)-x-3\right)^2}{x}",1,"-81/(16*x^5) + 27/(2*x^3) + 9/x^2 - (9*(3 + E^6))/(2*x) + 3*x + 6*E^6*x + 4*(1 + E^6)*x^2 - (1 + E^6)^2*x^3","A",1
5374,1,28,28,0.1783132,"\int \frac{(-2 x-2 x \log (x)) \log \left(e^{-8-2 x} \log ^2(3)\right)+(-2-\log (x)) \log ^2\left(e^{-8-2 x} \log ^2(3)\right)}{2 x^3+6 x^3 \log (x)+6 x^3 \log ^2(x)+2 x^3 \log ^3(x)} \, dx","Integrate[((-2*x - 2*x*Log[x])*Log[E^(-8 - 2*x)*Log[3]^2] + (-2 - Log[x])*Log[E^(-8 - 2*x)*Log[3]^2]^2)/(2*x^3 + 6*x^3*Log[x] + 6*x^3*Log[x]^2 + 2*x^3*Log[x]^3),x]","\frac{\log ^2\left(e^{-2 (x+4)} \log ^2(3)\right)}{4 x^2 (\log (x)+1)^2}","\frac{\log ^2\left(e^{-2 x-8} \log ^2(3)\right)}{4 x^2 (\log (x)+1)^2}",1,"Log[Log[3]^2/E^(2*(4 + x))]^2/(4*x^2*(1 + Log[x])^2)","A",1
5375,1,4,6,0.0002295,"\int -\frac{1}{x} \, dx","Integrate[-x^(-1),x]","-\log (x)","\log \left(\frac{80}{x}\right)",1,"-Log[x]","A",1
5376,1,41,32,0.767661,"\int \frac{400+100 e^2+100 x^2+e^{\frac{e^{2-e^{e^x}}}{10+e^{2-e^{e^x}} (1+x)}} \left(e^{4-2 e^{e^x}} x^2+10 e^{2-e^{e^x}+e^x+x} x^2\right)+e^{2-e^{e^x}} \left(80+80 x+20 x^2+20 x^3+e^2 (20+20 x)\right)+e^{4-2 e^{e^x}} \left(4+8 x+5 x^2+2 x^3+x^4+e^2 \left(1+2 x+x^2\right)\right)}{100 x^2+e^{2-e^{e^x}} \left(20 x^2+20 x^3\right)+e^{4-2 e^{e^x}} \left(x^2+2 x^3+x^4\right)} \, dx","Integrate[(400 + 100*E^2 + 100*x^2 + E^(E^(2 - E^E^x)/(10 + E^(2 - E^E^x)*(1 + x)))*(E^(4 - 2*E^E^x)*x^2 + 10*E^(2 - E^E^x + E^x + x)*x^2) + E^(2 - E^E^x)*(80 + 80*x + 20*x^2 + 20*x^3 + E^2*(20 + 20*x)) + E^(4 - 2*E^E^x)*(4 + 8*x + 5*x^2 + 2*x^3 + x^4 + E^2*(1 + 2*x + x^2)))/(100*x^2 + E^(2 - E^E^x)*(20*x^2 + 20*x^3) + E^(4 - 2*E^E^x)*(x^2 + 2*x^3 + x^4)),x]","x-e^{\frac{e^2}{e^2 x+10 e^{e^{e^x}}+e^2}}+\frac{-4-e^2}{x}","x-e^{\frac{1}{x+10 e^{e^{e^x}-2}+1}}-\frac{4+e^2}{x}",1,"-E^(E^2/(E^2 + 10*E^E^E^x + E^2*x)) + (-4 - E^2)/x + x","A",1
5377,1,44,25,0.723118,"\int \frac{275+128 x+15 x^2+e^{4 x^3} \left(5+300 x^2+60 x^3\right)+e^{2 x^3} \left(-90-20 x-1200 x^2-540 x^3-60 x^4\right)}{400+275 x+64 x^2+5 x^3+e^{4 x^3} (25+5 x)+e^{2 x^3} \left(-200-90 x-10 x^2\right)} \, dx","Integrate[(275 + 128*x + 15*x^2 + E^(4*x^3)*(5 + 300*x^2 + 60*x^3) + E^(2*x^3)*(-90 - 20*x - 1200*x^2 - 540*x^3 - 60*x^4))/(400 + 275*x + 64*x^2 + 5*x^3 + E^(4*x^3)*(25 + 5*x) + E^(2*x^3)*(-200 - 90*x - 10*x^2)),x]","\log \left(-10 e^{2 x^3} x-40 e^{2 x^3}+5 e^{4 x^3}+5 x^2+39 x+80\right)+\log (x+5)","\log \left((x+5) \left(\left(-e^{2 x^3}+x+4\right)^2-\frac{x}{5}\right)\right)",1,"Log[5 + x] + Log[80 - 40*E^(2*x^3) + 5*E^(4*x^3) + 39*x - 10*E^(2*x^3)*x + 5*x^2]","A",1
5378,1,20,24,0.0040375,"\int \frac{1}{10} \left(-8+8 e^x-75 x\right) \, dx","Integrate[(-8 + 8*E^x - 75*x)/10,x]","\frac{1}{10} \left(-\frac{75 x^2}{2}-8 x+8 e^x\right)","-\frac{15 x^2}{4}-x+\frac{1}{5} \left(x+4 e^x-3\right)+4",1,"(8*E^x - 8*x - (75*x^2)/2)/10","A",1
5379,1,23,23,0.0705812,"\int \frac{8-2 x+6 x^2+\left(4+x-x^2\right) \log \left(\frac{256+256 x-160 x^2-176 x^3+49 x^4+44 x^5-10 x^6-4 x^7+x^8}{128 x^2}\right) \log \left(\log \left(\frac{256+256 x-160 x^2-176 x^3+49 x^4+44 x^5-10 x^6-4 x^7+x^8}{128 x^2}\right)\right)}{\left(-4 x^2-x^3+x^4\right) \log \left(\frac{256+256 x-160 x^2-176 x^3+49 x^4+44 x^5-10 x^6-4 x^7+x^8}{128 x^2}\right)} \, dx","Integrate[(8 - 2*x + 6*x^2 + (4 + x - x^2)*Log[(256 + 256*x - 160*x^2 - 176*x^3 + 49*x^4 + 44*x^5 - 10*x^6 - 4*x^7 + x^8)/(128*x^2)]*Log[Log[(256 + 256*x - 160*x^2 - 176*x^3 + 49*x^4 + 44*x^5 - 10*x^6 - 4*x^7 + x^8)/(128*x^2)]])/((-4*x^2 - x^3 + x^4)*Log[(256 + 256*x - 160*x^2 - 176*x^3 + 49*x^4 + 44*x^5 - 10*x^6 - 4*x^7 + x^8)/(128*x^2)]),x]","\frac{\log \left(\log \left(\frac{\left(-x^2+x+4\right)^4}{128 x^2}\right)\right)}{x}","\frac{\log \left(\log \left(\frac{\left(-x^2+x+4\right)^4}{128 x^2}\right)\right)}{x}",1,"Log[Log[(4 + x - x^2)^4/(128*x^2)]]/x","A",1
5380,1,48,26,0.0781024,"\int \frac{4 x^3-5996 x^4-6959 x^5-1812 x^6+84 x^7+\left(-300 x^2-388 x^3-109 x^4+5 x^5\right) \log (25-x)}{-25+x} \, dx","Integrate[(4*x^3 - 5996*x^4 - 6959*x^5 - 1812*x^6 + 84*x^7 + (-300*x^2 - 388*x^3 - 109*x^4 + 5*x^5)*Log[25 - x])/(-25 + x),x]","12 x^7+48 x^6+48 x^5+x^5 \log (25-x)+4 x^4 \log (25-x)+4 x^3 \log (25-x)","\left(x^2+2 x\right)^2 \left(12 x^3+x \log (25-x)\right)+2",1,"48*x^5 + 48*x^6 + 12*x^7 + 4*x^3*Log[25 - x] + 4*x^4*Log[25 - x] + x^5*Log[25 - x]","A",1
5381,1,51,34,0.306631,"\int \frac{-256 x^2-128 x^4-128 x^5+e^{\frac{20-x}{2}} \left(-128 x^2-128 x^3\right)+e^{\frac{20-x}{4}} \left(-64 x^2+240 x^3+256 x^4\right)+e^x \left(8 x+8 x^2+8 x^3+e^{\frac{20-x}{2}} (8+8 x)+e^{\frac{20-x}{4}} \left(4-15 x-16 x^2\right)\right)+\left(64 x^2-256 x^3-256 x^4+e^x \left(-4+e^{\frac{20-x}{4}} (-16-16 x)+16 x+16 x^2\right)+e^{\frac{20-x}{4}} \left(256 x^2+256 x^3\right)\right) \log \left(e^{2 x}-32 e^x x^2+256 x^4\right)+\left(-128 x^2-128 x^3+e^x (8+8 x)\right) \log ^2\left(e^{2 x}-32 e^x x^2+256 x^4\right)}{-64 e^{\frac{20-x}{2}} x^2+128 e^{\frac{20-x}{4}} x^3-64 x^4+e^x \left(4 e^{\frac{20-x}{2}}-8 e^{\frac{20-x}{4}} x+4 x^2\right)+\left(128 e^{\frac{20-x}{4}} x^2-128 x^3+e^x \left(-8 e^{\frac{20-x}{4}}+8 x\right)\right) \log \left(e^{2 x}-32 e^x x^2+256 x^4\right)+\left(4 e^x-64 x^2\right) \log ^2\left(e^{2 x}-32 e^x x^2+256 x^4\right)} \, dx","Integrate[(-256*x^2 - 128*x^4 - 128*x^5 + E^((20 - x)/2)*(-128*x^2 - 128*x^3) + E^((20 - x)/4)*(-64*x^2 + 240*x^3 + 256*x^4) + E^x*(8*x + 8*x^2 + 8*x^3 + E^((20 - x)/2)*(8 + 8*x) + E^((20 - x)/4)*(4 - 15*x - 16*x^2)) + (64*x^2 - 256*x^3 - 256*x^4 + E^x*(-4 + E^((20 - x)/4)*(-16 - 16*x) + 16*x + 16*x^2) + E^((20 - x)/4)*(256*x^2 + 256*x^3))*Log[E^(2*x) - 32*E^x*x^2 + 256*x^4] + (-128*x^2 - 128*x^3 + E^x*(8 + 8*x))*Log[E^(2*x) - 32*E^x*x^2 + 256*x^4]^2)/(-64*E^((20 - x)/2)*x^2 + 128*E^((20 - x)/4)*x^3 - 64*x^4 + E^x*(4*E^((20 - x)/2) - 8*E^((20 - x)/4)*x + 4*x^2) + (128*E^((20 - x)/4)*x^2 - 128*x^3 + E^x*(-8*E^((20 - x)/4) + 8*x))*Log[E^(2*x) - 32*E^x*x^2 + 256*x^4] + (4*E^x - 64*x^2)*Log[E^(2*x) - 32*E^x*x^2 + 256*x^4]^2),x]","x \left(-\frac{e^{x/4}}{e^{x/4} \log \left(\left(e^x-16 x^2\right)^2\right)+e^{x/4} x-e^5}+x+2\right)","x \left(-\frac{1}{\log \left(\left(e^x-16 x^2\right)^2\right)+x-e^{5-\frac{x}{4}}}+x+2\right)",1,"x*(2 + x - E^(x/4)/(-E^5 + E^(x/4)*x + E^(x/4)*Log[(E^x - 16*x^2)^2]))","A",1
5382,1,14,18,0.0855687,"\int \frac{\left(3+x+9 x^2+3 x^3\right) \log (3+x)+\left(3+x+x^3\right) \log \left(-9-3 x-3 x^3\right)}{9+6 x+x^2+3 x^3+x^4} \, dx","Integrate[((3 + x + 9*x^2 + 3*x^3)*Log[3 + x] + (3 + x + x^3)*Log[-9 - 3*x - 3*x^3])/(9 + 6*x + x^2 + 3*x^3 + x^4),x]","\log (x+3) \log \left(-3 \left(x^3+x+3\right)\right)","\log (x+3) \log \left(3 \left(-x^3-x-3\right)\right)",1,"Log[3 + x]*Log[-3*(3 + x + x^3)]","A",1
5383,1,20,22,0.0508049,"\int \frac{36+90 e^{2 x} x+18 e^{2 x} x \log (5 x)}{2000 x-200 e^{2 x} x+5 e^{4 x} x+\left(400 x-40 e^{2 x} x+e^{4 x} x\right) \log (5 x)+\left(-800 x+40 e^{2 x} x+\left(-160 x+8 e^{2 x} x\right) \log (5 x)\right) \log (5+\log (5 x))+(80 x+16 x \log (5 x)) \log ^2(5+\log (5 x))} \, dx","Integrate[(36 + 90*E^(2*x)*x + 18*E^(2*x)*x*Log[5*x])/(2000*x - 200*E^(2*x)*x + 5*E^(4*x)*x + (400*x - 40*E^(2*x)*x + E^(4*x)*x)*Log[5*x] + (-800*x + 40*E^(2*x)*x + (-160*x + 8*E^(2*x)*x)*Log[5*x])*Log[5 + Log[5*x]] + (80*x + 16*x*Log[5*x])*Log[5 + Log[5*x]]^2),x]","-\frac{9}{e^{2 x}+4 \log (\log (5 x)+5)-20}","\frac{9}{-e^{2 x}-4 \log (\log (5 x)+5)+20}",1,"-9/(-20 + E^(2*x) + 4*Log[5 + Log[5*x]])","A",1
5384,1,23,31,0.2550856,"\int \frac{e^{\frac{2-10 x-x^2-\log (x)}{x}} \left(-12-4 x-4 x^2+4 \log (x)\right)}{x^3} \, dx","Integrate[(E^((2 - 10*x - x^2 - Log[x])/x)*(-12 - 4*x - 4*x^2 + 4*Log[x]))/x^3,x]","4 e^{-x+\frac{2}{x}-10} x^{-\frac{1}{x}-1}","\frac{4 e^{-x+\frac{2}{x}-\frac{x+\log (x)}{x}-9}-x}{x}",1,"4*E^(-10 + 2/x - x)*x^(-1 - x^(-1))","A",1
5385,1,39,17,0.0101119,"\int \frac{-45 x+x^2+(-250-50 x) \log \left(\frac{5+x}{5}\right)}{10+2 x} \, dx","Integrate[(-45*x + x^2 + (-250 - 50*x)*Log[(5 + x)/5])/(10 + 2*x),x]","\frac{1}{4} (x+5)^2-\frac{55 (x+5)}{2}+25 x-25 (x+5) \log \left(\frac{x+5}{5}\right)+125 \log (x+5)","\frac{1}{4} x \left(x-100 \log \left(\frac{x+5}{5}\right)\right)",1,"25*x - (55*(5 + x))/2 + (5 + x)^2/4 - 25*(5 + x)*Log[(5 + x)/5] + 125*Log[5 + x]","B",1
5386,1,64,27,0.0534352,"\int \frac{-160+100 x+e^5 (-6+4 x)+\left(-50-2 e^5\right) \log (3)+e^x \left(50+50 x+e^5 (2+2 x)+\left(-50-2 e^5\right) \log (3)\right)}{25+e^5} \, dx","Integrate[(-160 + 100*x + E^5*(-6 + 4*x) + (-50 - 2*E^5)*Log[3] + E^x*(50 + 50*x + E^5*(2 + 2*x) + (-50 - 2*E^5)*Log[3]))/(25 + E^5),x]","\frac{2 \left(e^5 x^2+25 x^2-80 x-25 x \log (3)+e^5 x (-3-\log (3))+25 e^x (x-\log (3))+e^{x+5} (x-\log (3))\right)}{25+e^5}","-2 \left(-x-e^x+\frac{5}{25+e^5}+3\right) (x-\log (3))",1,"(2*(-80*x + 25*x^2 + E^5*x^2 + E^5*x*(-3 - Log[3]) + 25*E^x*(x - Log[3]) + E^(5 + x)*(x - Log[3]) - 25*x*Log[3]))/(25 + E^5)","B",1
5387,1,38,25,0.1399177,"\int \frac{e^{e^5} \left(x^2+2 x^3+e^{\frac{2 \left(-16+4 x-x^2\right)}{x}} \left(32-2 x^2\right)+e^{\frac{-16+4 x-x^2}{x}} \left(32 x+2 x^2-2 x^3\right)\right)}{x^2} \, dx","Integrate[(E^E^5*(x^2 + 2*x^3 + E^((2*(-16 + 4*x - x^2))/x)*(32 - 2*x^2) + E^((-16 + 4*x - x^2)/x)*(32*x + 2*x^2 - 2*x^3)))/x^2,x]","e^{e^5} \left(x^2+2 e^{-x-\frac{16}{x}+4} x+x+e^{-2 x-\frac{32}{x}+8}\right)","e^{e^5} \left(\left(x+e^{-x-\frac{16}{x}+4}\right)^2+x+1\right)",1,"E^E^5*(E^(8 - 32/x - 2*x) + x + 2*E^(4 - 16/x - x)*x + x^2)","A",1
5388,1,47,27,0.0724048,"\int \frac{\left(-8 x+8 x^2+\left(3 x-4 x^2+x^3\right) \log (x)\right) \log \left(\frac{1}{3} (8+(-3+x) \log (x))\right)+\left(-6+8 x-2 x^2+\left(2 x-2 x^2\right) \log (x)\right) \log \left(\log \left(\frac{1}{3} (8+(-3+x) \log (x))\right)\right)+\left(-8 x+\left(3 x-x^2\right) \log (x)\right) \log \left(\frac{1}{3} (8+(-3+x) \log (x))\right) \log ^2\left(\log \left(\frac{1}{3} (8+(-3+x) \log (x))\right)\right)+(-6+2 x+2 x \log (x)) \log ^3\left(\log \left(\frac{1}{3} (8+(-3+x) \log (x))\right)\right)}{\left(16 x+\left(-6 x+2 x^2\right) \log (x)\right) \log \left(\frac{1}{3} (8+(-3+x) \log (x))\right)} \, dx","Integrate[((-8*x + 8*x^2 + (3*x - 4*x^2 + x^3)*Log[x])*Log[(8 + (-3 + x)*Log[x])/3] + (-6 + 8*x - 2*x^2 + (2*x - 2*x^2)*Log[x])*Log[Log[(8 + (-3 + x)*Log[x])/3]] + (-8*x + (3*x - x^2)*Log[x])*Log[(8 + (-3 + x)*Log[x])/3]*Log[Log[(8 + (-3 + x)*Log[x])/3]]^2 + (-6 + 2*x + 2*x*Log[x])*Log[Log[(8 + (-3 + x)*Log[x])/3]]^3)/((16*x + (-6*x + 2*x^2)*Log[x])*Log[(8 + (-3 + x)*Log[x])/3]),x]","\frac{1}{4} \left((x-2) x+\log ^4\left(\log \left(\frac{1}{3} ((x-3) \log (x)+8)\right)\right)-2 (x-1) \log ^2\left(\log \left(\frac{1}{3} ((x-3) \log (x)+8)\right)\right)\right)","\frac{1}{4} \left(-x+\log ^2\left(\log \left(\frac{1}{3} ((x-3) \log (x)+8)\right)\right)+1\right)^2",1,"((-2 + x)*x - 2*(-1 + x)*Log[Log[(8 + (-3 + x)*Log[x])/3]]^2 + Log[Log[(8 + (-3 + x)*Log[x])/3]]^4)/4","A",1
5389,1,21,21,0.067971,"\int \frac{28 x^2-144 x^3+e^{20/x} \left(-60-20 x-10 x^2\right)+\left(-2 x^2-e^{20/x} x^2-16 x^3\right) \log \left(2+e^{20/x}+16 x\right)}{18 x^2+156 x^3+98 x^4+16 x^5+e^{20/x} \left(9 x^2+6 x^3+x^4\right)} \, dx","Integrate[(28*x^2 - 144*x^3 + E^(20/x)*(-60 - 20*x - 10*x^2) + (-2*x^2 - E^(20/x)*x^2 - 16*x^3)*Log[2 + E^(20/x) + 16*x])/(18*x^2 + 156*x^3 + 98*x^4 + 16*x^5 + E^(20/x)*(9*x^2 + 6*x^3 + x^4)),x]","\frac{\log \left(16 x+e^{20/x}+2\right)+10}{x+3}","\frac{\log \left(16 x+e^{20/x}+2\right)+10}{x+3}",1,"(10 + Log[2 + E^(20/x) + 16*x])/(3 + x)","A",1
5390,1,111,26,0.0536638,"\int \frac{-3 x^2+12 x^4+16 x^5+5 x^6+\left(-6 x+16 x^3+20 x^4+6 x^5\right) \log (5)-3 \log ^2(5)}{3 x^2+6 x \log (5)+3 \log ^2(5)} \, dx","Integrate[(-3*x^2 + 12*x^4 + 16*x^5 + 5*x^6 + (-6*x + 16*x^3 + 20*x^4 + 6*x^5)*Log[5] - 3*Log[5]^2)/(3*x^2 + 6*x*Log[5] + 3*Log[5]^2),x]","\frac{6 x^6+24 x^5+x^4 \left(24+15 \log ^2(5)-5 \log (5) \log (125)\right)+6 x^2 \left(-3+15 \log ^4(5)-5 \log ^3(5) \log (125)\right)+6 x \log (5) \left(-3+25 \log ^4(5)-4 \log ^3(5) (1+\log (15625))+4 \log ^2(5)\right)+6 \log ^4(5) \left(4+25 \log ^2(5)-4 \log (5) (1+\log (15625))\right)}{18 (x+\log (5))}","\frac{x^2 \left(x^2+2 x\right)^2}{3 (x+\log (5))}-x",1,"(24*x^5 + 6*x^6 + x^4*(24 + 15*Log[5]^2 - 5*Log[5]*Log[125]) + 6*x^2*(-3 + 15*Log[5]^4 - 5*Log[5]^3*Log[125]) + 6*Log[5]^4*(4 + 25*Log[5]^2 - 4*Log[5]*(1 + Log[15625])) + 6*x*Log[5]*(-3 + 4*Log[5]^2 + 25*Log[5]^4 - 4*Log[5]^3*(1 + Log[15625])))/(18*(x + Log[5]))","B",1
5391,1,29,29,0.6598546,"\int \frac{9+e^{\frac{1}{2} (3-2 x)} (-3-3 x)+e^x \left(-48-48 x+e^{\frac{1}{2} (3-2 x)} (16+32 x)\right)}{27 x^2-288 e^x x^2+768 e^{2 x} x^2} \, dx","Integrate[(9 + E^((3 - 2*x)/2)*(-3 - 3*x) + E^x*(-48 - 48*x + E^((3 - 2*x)/2)*(16 + 32*x)))/(27*x^2 - 288*E^x*x^2 + 768*E^(2*x)*x^2),x]","-\frac{3-e^{\frac{3}{2}-x}}{3 \left(3 x-16 e^x x\right)}","\frac{3-e^{\frac{3}{2}-x}}{3 \left(16 e^x-3\right) x}",1,"-1/3*(3 - E^(3/2 - x))/(3*x - 16*E^x*x)","A",1
5392,1,112,31,0.1558078,"\int \frac{-2 x^3+x^5+\left(2 x^3-x^5\right) \log \left(\frac{x}{3}\right)+\left(320-240 x-160 x^2+62 x^3-20 x^4+29 x^5+10 x^6\right) \log ^2\left(\frac{x}{3}\right)+\left(-2 x^5 \log \left(\frac{x}{3}\right)+\left(160 x^2-240 x^3+10 x^4+58 x^5+10 x^6\right) \log ^2\left(\frac{x}{3}\right)\right) \log \left(\frac{x^3+\left(-80+120 x-5 x^2-29 x^3-5 x^4\right) \log \left(\frac{x}{3}\right)}{x^2 \log \left(\frac{x}{3}\right)}\right)}{-x^4 \log \left(\frac{x}{3}\right)+\left(80 x-120 x^2+5 x^3+29 x^4+5 x^5\right) \log ^2\left(\frac{x}{3}\right)} \, dx","Integrate[(-2*x^3 + x^5 + (2*x^3 - x^5)*Log[x/3] + (320 - 240*x - 160*x^2 + 62*x^3 - 20*x^4 + 29*x^5 + 10*x^6)*Log[x/3]^2 + (-2*x^5*Log[x/3] + (160*x^2 - 240*x^3 + 10*x^4 + 58*x^5 + 10*x^6)*Log[x/3]^2)*Log[(x^3 + (-80 + 120*x - 5*x^2 - 29*x^3 - 5*x^4)*Log[x/3])/(x^2*Log[x/3])])/(-(x^4*Log[x/3]) + (80*x - 120*x^2 + 5*x^3 + 29*x^4 + 5*x^5)*Log[x/3]^2),x]","x^2 \log \left(-5 x^2-\frac{80}{x^2}-29 x+\frac{120}{x}+\frac{x}{\log \left(\frac{x}{3}\right)}-5\right)-2 \log \left(5 x^4 \log \left(\frac{x}{3}\right)-x^3+29 x^3 \log \left(\frac{x}{3}\right)+5 x^2 \log \left(\frac{x}{3}\right)-120 x \log \left(\frac{x}{3}\right)+80 \log \left(\frac{x}{3}\right)\right)+4 \log \left(\frac{x}{3}\right)+2 \log \left(\log \left(\frac{x}{3}\right)\right)","\left(x^2-2\right) \log \left(-5 \left(x-\frac{4}{x}+3\right)^2+x+\frac{x}{\log \left(\frac{x}{3}\right)}\right)",1,"4*Log[x/3] + x^2*Log[-5 - 80/x^2 + 120/x - 29*x - 5*x^2 + x/Log[x/3]] + 2*Log[Log[x/3]] - 2*Log[-x^3 + 80*Log[x/3] - 120*x*Log[x/3] + 5*x^2*Log[x/3] + 29*x^3*Log[x/3] + 5*x^4*Log[x/3]]","B",1
5393,1,36,26,1.0483022,"\int \frac{-4 e-8 x+e^x \left(-64-56 x+4 x^2\right)+32 e^x \log (x)+e^x (16+16 x) \log ^2(x)}{-e x-x^2+e^x \left(-16 x+x^2\right)+4 e^x x \log ^2(x)} \, dx","Integrate[(-4*E - 8*x + E^x*(-64 - 56*x + 4*x^2) + 32*E^x*Log[x] + E^x*(16 + 16*x)*Log[x]^2)/(-(E*x) - x^2 + E^x*(-16*x + x^2) + 4*E^x*x*Log[x]^2),x]","-4 \left(-\log \left(-16 e^x+e^x x-x+4 e^x \log ^2(x)-e\right)-\log (x)\right)","4 \log \left(x \left(-x+e^x \left(x+4 \left(\log ^2(x)-4\right)\right)-e\right)\right)",1,"-4*(-Log[x] - Log[-E - 16*E^x - x + E^x*x + 4*E^x*Log[x]^2])","A",1
5394,1,18,22,0.0352635,"\int \frac{1}{12} e^{-x} \left(48-12 e+e^x-48 x\right) \, dx","Integrate[(48 - 12*E + E^x - 48*x)/(12*E^x),x]","\frac{1}{12} \left(x+12 e^{-x} (4 x+e)\right)","\frac{1}{3} \left(\frac{x}{4}+3 e^{-x} (4 x+e)\right)",1,"(x + (12*(E + 4*x))/E^x)/12","A",1
5395,1,20,24,0.0225847,"\int \frac{-10-50 x+5 e^{-5+x} x-400 x^2}{x} \, dx","Integrate[(-10 - 50*x + 5*E^(-5 + x)*x - 400*x^2)/x,x]","5 \left(-40 x^2-10 x+e^{x-5}-2 \log (x)\right)","5 \left(-\log \left(x^2\right)+10 (3-4 x) (x+1)+e^{x-5}\right)",1,"5*(E^(-5 + x) - 10*x - 40*x^2 - 2*Log[x])","A",1
5396,1,16,18,0.0028792,"\int \frac{1}{3} \left(100+5 e^x-40 x\right) \, dx","Integrate[(100 + 5*E^x - 40*x)/3,x]","\frac{5}{3} \left(-4 x^2+20 x+e^x\right)","\frac{5}{3} \left(-(2 x-5)^2+e^x-1\right)",1,"(5*(E^x + 20*x - 4*x^2))/3","A",1
5397,1,30,27,0.0829844,"\int \frac{-300+200 x+400 x^3+e^5 \left(12 x^2-4 x^3+8 x^5\right)+e^5 \left(-6 x^2+4 x^3+8 x^5\right) \log \left(\frac{-3+2 x+4 x^3}{4 x^2}\right)}{e^5 \left(-3 x^2+2 x^3+4 x^5\right)} \, dx","Integrate[(-300 + 200*x + 400*x^3 + E^5*(12*x^2 - 4*x^3 + 8*x^5) + E^5*(-6*x^2 + 4*x^3 + 8*x^5)*Log[(-3 + 2*x + 4*x^3)/(4*x^2)])/(E^5*(-3*x^2 + 2*x^3 + 4*x^5)),x]","2 x \log \left(\frac{4 x^3+2 x-3}{4 x^2}\right)-\frac{100}{e^5 x}","2 x \log \left(\frac{2 x-3}{4 x^2}+x\right)-\frac{100}{e^5 x}",1,"-100/(E^5*x) + 2*x*Log[(-3 + 2*x + 4*x^3)/(4*x^2)]","A",1
5398,1,20,20,0.1146962,"\int \frac{e^{-x} \left(-4 e^x+e^4 \left(-243+405 x-270 x^2+90 x^3-15 x^4+x^5\right)+e^{3 x} \left(-486+810 x-540 x^2+180 x^3-30 x^4+2 x^5\right)\right)}{-243+405 x-270 x^2+90 x^3-15 x^4+x^5} \, dx","Integrate[(-4*E^x + E^4*(-243 + 405*x - 270*x^2 + 90*x^3 - 15*x^4 + x^5) + E^(3*x)*(-486 + 810*x - 540*x^2 + 180*x^3 - 30*x^4 + 2*x^5))/(E^x*(-243 + 405*x - 270*x^2 + 90*x^3 - 15*x^4 + x^5)),x]","-e^{4-x}+e^{2 x}+\frac{1}{(x-3)^4}","-e^{4-x}+e^{2 x}+\frac{1}{(x-3)^4}",1,"-E^(4 - x) + E^(2*x) + (-3 + x)^(-4)","A",1
5399,1,24,25,0.3091825,"\int \frac{\left(-7500 x-3750 x^3\right) \log (x)+\left(3750 x-1875 x^3+\left(-7500 x+3750 x^3\right) \log (x)\right) \log \left(\frac{16-16 x^2+4 x^4}{x^2}\right)}{\left(-2+x^2\right) \log ^2(x) \log ^2\left(\frac{16-16 x^2+4 x^4}{x^2}\right)} \, dx","Integrate[((-7500*x - 3750*x^3)*Log[x] + (3750*x - 1875*x^3 + (-7500*x + 3750*x^3)*Log[x])*Log[(16 - 16*x^2 + 4*x^4)/x^2])/((-2 + x^2)*Log[x]^2*Log[(16 - 16*x^2 + 4*x^4)/x^2]^2),x]","\frac{1875 x^2}{\log (x) \log \left(\frac{4 \left(x^2-2\right)^2}{x^2}\right)}","\frac{1875 x^2}{\log (x) \log \left(\frac{\left(4-2 x^2\right)^2}{x^2}\right)}",1,"(1875*x^2)/(Log[x]*Log[(4*(-2 + x^2)^2)/x^2])","A",1
5400,1,14,14,0.1825915,"\int \frac{1+2 x}{\left(15 x+e x+2 x^2+x \log (x)\right) \log (-15-e-2 x-\log (x))} \, dx","Integrate[(1 + 2*x)/((15*x + E*x + 2*x^2 + x*Log[x])*Log[-15 - E - 2*x - Log[x]]),x]","\log (\log (-2 x-\log (x)-e-15))","\log (\log (-2 x-\log (x)-e-15))",1,"Log[Log[-15 - E - 2*x - Log[x]]]","A",1
5401,1,24,27,0.1065552,"\int \frac{198-120 x+12 x^2+(-18+12 x) \log (2 x)}{-10 x+x^2+x \log (2 x)} \, dx","Integrate[(198 - 120*x + 12*x^2 + (-18 + 12*x)*Log[2*x])/(-10*x + x^2 + x*Log[2*x]),x]","6 (2 x-3 \log (x)+3 \log (-x-\log (2 x)+10))","3 \left(3 \left(\log \left(\frac{(-x-\log (2 x)+10)^2}{x^2}\right)+x-4\right)+x\right)",1,"6*(2*x - 3*Log[x] + 3*Log[10 - x - Log[2*x]])","A",1
5402,1,23,25,0.9067561,"\int \frac{1+e^{2 x} \left(-12+24 x-6 x^2\right)-\log (x)}{4 x^2+e^{2 x} \left(-96 x+24 x^2\right)+e^{4 x} \left(576-288 x+36 x^2\right)+\left(e^{2 x} (96-24 x)-8 x\right) \log (x)+4 \log ^2(x)} \, dx","Integrate[(1 + E^(2*x)*(-12 + 24*x - 6*x^2) - Log[x])/(4*x^2 + E^(2*x)*(-96*x + 24*x^2) + E^(4*x)*(576 - 288*x + 36*x^2) + (E^(2*x)*(96 - 24*x) - 8*x)*Log[x] + 4*Log[x]^2),x]","\frac{x}{4 \left(3 e^{2 x} (x-4)+x-\log (x)\right)}","\frac{x}{4 \left(-3 e^{2 x} (4-x)+x-\log (x)\right)}",1,"x/(4*(3*E^(2*x)*(-4 + x) + x - Log[x]))","A",1
5403,1,24,20,0.0519989,"\int \frac{1}{16} e^{-2 x} \left(-145+16 e^{2 x}-34 x-2 x^2\right) \, dx","Integrate[(-145 + 16*E^(2*x) - 34*x - 2*x^2)/(16*E^(2*x)),x]","\frac{1}{16} \left(e^{-2 x} \left(x^2+18 x+\frac{163}{2}\right)+16 x\right)","x+\frac{1}{64} e^{-2 x} \left(4 (x+9)^2+2\right)",1,"(16*x + (163/2 + 18*x + x^2)/E^(2*x))/16","A",1
5404,1,20,20,0.1584761,"\int \frac{\exp \left(\log ^2\left(30 x^3+30 e^8 x^3+60 x^4+30 x^5+e^4 \left(-60 x^3-60 x^4\right)\right)\right) \left(-6+6 e^4-10 x\right) \log \left(30 x^3+30 e^8 x^3+60 x^4+30 x^5+e^4 \left(-60 x^3-60 x^4\right)\right)}{-x+e^4 x-x^2} \, dx","Integrate[(E^Log[30*x^3 + 30*E^8*x^3 + 60*x^4 + 30*x^5 + E^4*(-60*x^3 - 60*x^4)]^2*(-6 + 6*E^4 - 10*x)*Log[30*x^3 + 30*E^8*x^3 + 60*x^4 + 30*x^5 + E^4*(-60*x^3 - 60*x^4)])/(-x + E^4*x - x^2),x]","e^{\log ^2\left(30 x^3 \left(x-e^4+1\right)^2\right)}","e^{\log ^2\left(30 \left(-x+e^4-1\right)^2 x^3\right)}",1,"E^Log[30*x^3*(1 - E^4 + x)^2]^2","A",1
5405,1,26,26,0.1696502,"\int \frac{-5 x+5 e^x x+\left(-2+e^x (5-5 x)-3 x+5 x^2\right) \log \left(\frac{1}{5} \left(-2+5 e^x-5 x\right)\right)+\left(\left(2+3 x-5 x^2+e^x (-5+5 x)\right) \log \left(\frac{1}{5} \left(-2+5 e^x-5 x\right)\right)+\left(2-5 e^x+5 x\right) \log \left(\frac{1}{5} \left(-2+5 e^x-5 x\right)\right) \log \left(x \log \left(\frac{1}{5} \left(-2+5 e^x-5 x\right)\right)\right)\right) \log \left(-1+x-\log \left(x \log \left(\frac{1}{5} \left(-2+5 e^x-5 x\right)\right)\right)\right)}{\left(\left(-2 x-3 x^2+5 x^3+e^x \left(5 x-5 x^2\right)\right) \log \left(\frac{1}{5} \left(-2+5 e^x-5 x\right)\right)+\left(-2 x+5 e^x x-5 x^2\right) \log \left(\frac{1}{5} \left(-2+5 e^x-5 x\right)\right) \log \left(x \log \left(\frac{1}{5} \left(-2+5 e^x-5 x\right)\right)\right)\right) \log \left(-1+x-\log \left(x \log \left(\frac{1}{5} \left(-2+5 e^x-5 x\right)\right)\right)\right)} \, dx","Integrate[(-5*x + 5*E^x*x + (-2 + E^x*(5 - 5*x) - 3*x + 5*x^2)*Log[(-2 + 5*E^x - 5*x)/5] + ((2 + 3*x - 5*x^2 + E^x*(-5 + 5*x))*Log[(-2 + 5*E^x - 5*x)/5] + (2 - 5*E^x + 5*x)*Log[(-2 + 5*E^x - 5*x)/5]*Log[x*Log[(-2 + 5*E^x - 5*x)/5]])*Log[-1 + x - Log[x*Log[(-2 + 5*E^x - 5*x)/5]]])/(((-2*x - 3*x^2 + 5*x^3 + E^x*(5*x - 5*x^2))*Log[(-2 + 5*E^x - 5*x)/5] + (-2*x + 5*E^x*x - 5*x^2)*Log[(-2 + 5*E^x - 5*x)/5]*Log[x*Log[(-2 + 5*E^x - 5*x)/5]])*Log[-1 + x - Log[x*Log[(-2 + 5*E^x - 5*x)/5]]]),x]","\log \left(\log \left(x-\log \left(x \log \left(-x+e^x-\frac{2}{5}\right)\right)-1\right)\right)-\log (x)","\log \left(\log \left(x-\log \left(x \log \left(-x+e^x-\frac{2}{5}\right)\right)-1\right)\right)-\log (x)",1,"-Log[x] + Log[Log[-1 + x - Log[x*Log[-2/5 + E^x - x]]]]","A",1
5406,1,42,35,0.0109486,"\int \frac{29808+4317192 x+2861676 x^2-360810 x^3-637147 x^4-156751 x^5-12005 x^6}{-29808 x+1296 x^2+6480 x^3} \, dx","Integrate[(29808 + 4317192*x + 2861676*x^2 - 360810*x^3 - 637147*x^4 - 156751*x^5 - 12005*x^6)/(-29808*x + 1296*x^2 + 6480*x^3),x]","\frac{-\frac{2401 x^4}{4}-10290 x^3-66150 x^2+1296 \log \left(-5 x^2-x+23\right)-187704 x-1296 \log (x)}{1296}","-\frac{1}{4} \left(\frac{7 x}{6}+5\right)^4+x+\log \left(\frac{\frac{3-x}{5}+4}{x}-x\right)",1,"(-187704*x - 66150*x^2 - 10290*x^3 - (2401*x^4)/4 - 1296*Log[x] + 1296*Log[23 - x - 5*x^2])/1296","A",1
5407,1,25,30,0.5229579,"\int \frac{1+8 x+e^{e^{x^2}} \left(-4+\left(-4-8 e^{x^2} x^2\right) \log (x)\right)}{25 x^2+200 x^3+400 x^4+e^{e^{x^2}} \left(-200 x^2-800 x^3\right) \log (x)+400 e^{2 e^{x^2}} x^2 \log ^2(x)} \, dx","Integrate[(1 + 8*x + E^E^x^2*(-4 + (-4 - 8*E^x^2*x^2)*Log[x]))/(25*x^2 + 200*x^3 + 400*x^4 + E^E^x^2*(-200*x^2 - 800*x^3)*Log[x] + 400*E^(2*E^x^2)*x^2*Log[x]^2),x]","\frac{1}{25 x \left(4 e^{e^{x^2}} \log (x)-4 x-1\right)}","\frac{1}{25 \left(4 x \left(e^{e^{x^2}} \log (x)-x\right)-x\right)}+\log (2)",1,"1/(25*x*(-1 - 4*x + 4*E^E^x^2*Log[x]))","A",1
5408,1,24,24,0.083129,"\int \frac{20736 x^2+1440 x^3+25 x^4+13824 x^5+480 x^6+2304 x^8+e^x \left(-720+670 x+25 x^2-960 x^3+240 x^4\right) \log (3)}{20736 x^2+1440 x^3+25 x^4+13824 x^5+480 x^6+2304 x^8} \, dx","Integrate[(20736*x^2 + 1440*x^3 + 25*x^4 + 13824*x^5 + 480*x^6 + 2304*x^8 + E^x*(-720 + 670*x + 25*x^2 - 960*x^3 + 240*x^4)*Log[3])/(20736*x^2 + 1440*x^3 + 25*x^4 + 13824*x^5 + 480*x^6 + 2304*x^8),x]","\frac{5 e^x \log (3)}{\left(48 x^3+5 x+144\right) x}+x","\frac{e^x \log (3)}{\left(\frac{48}{5} \left(x^3+3\right)+x\right) x}+x",1,"x + (5*E^x*Log[3])/(x*(144 + 5*x + 48*x^3))","A",1
5409,1,36,27,1.4802587,"\int \frac{e^{-x} \left(8-1016 x-257 x^2+112 x^3-8 x^4+e^{1+x} \left(16-2048 x+512 x^2-32 x^3\right)\right)}{2 x^2-256 x^3+8224 x^4-2048 x^5+128 x^6} \, dx","Integrate[(8 - 1016*x - 257*x^2 + 112*x^3 - 8*x^4 + E^(1 + x)*(16 - 2048*x + 512*x^2 - 32*x^3))/(E^x*(2*x^2 - 256*x^3 + 8224*x^4 - 2048*x^5 + 128*x^6)),x]","\frac{e^{-x} \left(2 e^{x+1}+1\right) (x-8)}{2 x \left(8 x^2-64 x+1\right)}","\frac{\frac{e^{-x}}{2}+e}{8 x^2+\frac{x}{x-8}}",1,"((1 + 2*E^(1 + x))*(-8 + x))/(2*E^x*x*(1 - 64*x + 8*x^2))","A",1
5410,1,576,29,1.7805051,"\int \frac{-5 x^6+e x^6+e^{-\frac{3 x}{-5+e}} \left(320-240 x+60 x^2-5 x^3+e \left(-64+48 x-12 x^2+x^3\right)\right)+e^{-\frac{2 x}{-5+e}} \left(-240 x^2+120 x^3-15 x^4+e \left(48 x^2-24 x^3+3 x^4\right)\right)+e^{-\frac{x}{-5+e}} \left(-320 x^3+132 x^4-23 x^5+e \left(64 x^3-20 x^4+3 x^5\right)\right)}{-5 x^6+e x^6+e^{-\frac{3 x}{-5+e}} \left(320-240 x+60 x^2-5 x^3+e \left(-64+48 x-12 x^2+x^3\right)\right)+e^{-\frac{2 x}{-5+e}} \left(-240 x^2+120 x^3-15 x^4+e \left(48 x^2-24 x^3+3 x^4\right)\right)+e^{-\frac{x}{-5+e}} \left(60 x^4-15 x^5+e \left(-12 x^4+3 x^5\right)\right)} \, dx","Integrate[(-5*x^6 + E*x^6 + (320 - 240*x + 60*x^2 - 5*x^3 + E*(-64 + 48*x - 12*x^2 + x^3))/E^((3*x)/(-5 + E)) + (-240*x^2 + 120*x^3 - 15*x^4 + E*(48*x^2 - 24*x^3 + 3*x^4))/E^((2*x)/(-5 + E)) + (-320*x^3 + 132*x^4 - 23*x^5 + E*(64*x^3 - 20*x^4 + 3*x^5))/E^(x/(-5 + E)))/(-5*x^6 + E*x^6 + (320 - 240*x + 60*x^2 - 5*x^3 + E*(-64 + 48*x - 12*x^2 + x^3))/E^((3*x)/(-5 + E)) + (-240*x^2 + 120*x^3 - 15*x^4 + E*(48*x^2 - 24*x^3 + 3*x^4))/E^((2*x)/(-5 + E)) + (60*x^4 - 15*x^5 + E*(-12*x^4 + 3*x^5))/E^(x/(-5 + E))),x]","\frac{e^{-\frac{20}{e-5}} (x-4) x \left(2 e^{\frac{2 (x+2 e)}{e-5}} x^3 (x-8)^3+4 e^{\frac{x+4 e}{e-5}} x^2 (x-8)^3+4 e^{\frac{x+3 e+5}{e-5}} x^2 \left(3 x^2-32 x+160\right) (x-8)^2-20 e^{\frac{x+20}{e-5}} x^2 \left(x^2-9 x+40\right)^3-10 e^{\frac{20}{e-5}} (x-4) \left(x^2-9 x+40\right)^3+4 e^{\frac{x+e+15}{e-5}} x^2 \left(x^2-24 x+160\right) \left(x^2-9 x+40\right)^2+2 e^{\frac{2 x+3 e+5}{e-5}} x^3 \left(3 x^2-32 x+160\right) (x-8)^2-10 e^{\frac{2 (x+10)}{e-5}} x^3 \left(x^2-9 x+40\right)^3+2 e^{\frac{2 x+e+15}{e-5}} x^3 \left(x^2-24 x+160\right) \left(x^2-9 x+40\right)^2+2 e^{\frac{15+e}{e-5}} \left(x^2-9 x+40\right)^2 \left(x^3-28 x^2+256 x-640\right)-8 e^{\frac{5+3 e}{e-5}} \left(5 x^4-111 x^3+864 x^2-3104 x+4416\right)+6 e^{\frac{2 (x+e+5)}{e-5}} x^3 \left(x^5-31 x^4+430 x^3-3248 x^2+13440 x-25600\right)+12 e^{\frac{x+2 e+10}{e-5}} x^2 \left(x^5-31 x^4+430 x^3-3248 x^2+13440 x-25600\right)+2 e^{3+\frac{20}{e-5}} \left(3 x^5-72 x^4+740 x^3-4608 x^2+16256 x-23296\right)+6 e^{\frac{2 (5+e)}{e-5}} \left(x^6-35 x^5+554 x^4-4968 x^3+26432 x^2-79360 x+102400\right)+2 e^{\frac{4 e}{e-5}} (x-4) (x-8)^3\right)}{2 (e-5) \left(x^2-9 x+e (x-8)+40\right)^3 \left(e^{\frac{x}{e-5}} x^2+x-4\right)^2}","x-\frac{4 x^2}{\left(\frac{e^{\frac{x}{5-e}} (x-4)}{x}+x\right)^2}",1,"((-4 + x)*x*(2*E^((4*E)/(-5 + E))*(-8 + x)^3*(-4 + x) + 4*E^((4*E + x)/(-5 + E))*(-8 + x)^3*x^2 + 2*E^((2*(2*E + x))/(-5 + E))*(-8 + x)^3*x^3 + 4*E^((15 + E + x)/(-5 + E))*x^2*(160 - 24*x + x^2)*(40 - 9*x + x^2)^2 + 2*E^((15 + E + 2*x)/(-5 + E))*x^3*(160 - 24*x + x^2)*(40 - 9*x + x^2)^2 - 10*E^(20/(-5 + E))*(-4 + x)*(40 - 9*x + x^2)^3 - 20*E^((20 + x)/(-5 + E))*x^2*(40 - 9*x + x^2)^3 - 10*E^((2*(10 + x))/(-5 + E))*x^3*(40 - 9*x + x^2)^3 + 4*E^((5 + 3*E + x)/(-5 + E))*(-8 + x)^2*x^2*(160 - 32*x + 3*x^2) + 2*E^((5 + 3*E + 2*x)/(-5 + E))*(-8 + x)^2*x^3*(160 - 32*x + 3*x^2) + 2*E^((15 + E)/(-5 + E))*(40 - 9*x + x^2)^2*(-640 + 256*x - 28*x^2 + x^3) - 8*E^((5 + 3*E)/(-5 + E))*(4416 - 3104*x + 864*x^2 - 111*x^3 + 5*x^4) + 12*E^((10 + 2*E + x)/(-5 + E))*x^2*(-25600 + 13440*x - 3248*x^2 + 430*x^3 - 31*x^4 + x^5) + 6*E^((2*(5 + E + x))/(-5 + E))*x^3*(-25600 + 13440*x - 3248*x^2 + 430*x^3 - 31*x^4 + x^5) + 2*E^(3 + 20/(-5 + E))*(-23296 + 16256*x - 4608*x^2 + 740*x^3 - 72*x^4 + 3*x^5) + 6*E^((2*(5 + E))/(-5 + E))*(102400 - 79360*x + 26432*x^2 - 4968*x^3 + 554*x^4 - 35*x^5 + x^6)))/(2*(-5 + E)*E^(20/(-5 + E))*(40 + E*(-8 + x) - 9*x + x^2)^3*(-4 + x + E^(x/(-5 + E))*x^2)^2)","B",0
5411,1,26,29,0.0458957,"\int \frac{\exp \left(\frac{e^3+3 x \log \left(\frac{-3 x+(11+x) \log (2)}{\log (2)}\right)}{x}\right) \left(24 e^3 x-72 x^2+\left(e^3 (-88-8 x)+24 x^2\right) \log (2)\right)}{-3 x^3+\left(11 x^2+x^3\right) \log (2)} \, dx","Integrate[(E^((E^3 + 3*x*Log[(-3*x + (11 + x)*Log[2])/Log[2]])/x)*(24*E^3*x - 72*x^2 + (E^3*(-88 - 8*x) + 24*x^2)*Log[2]))/(-3*x^3 + (11*x^2 + x^3)*Log[2]),x]","\frac{8 e^{\frac{e^3}{x}} (x (\log (2)-3)+\log (2048))^3}{\log ^3(2)}","8 \left(e^{\frac{e^3}{x}} \left(x-3 \left(\frac{x}{\log (2)}-5\right)-4\right)^3+1\right)",1,"(8*E^(E^3/x)*(x*(-3 + Log[2]) + Log[2048])^3)/Log[2]^3","A",1
5412,1,17,18,0.0569288,"\int \frac{1}{5} \left(-10-3 e^{5+\frac{1}{5} e^{5-3 x}-3 x}\right) \, dx","Integrate[(-10 - 3*E^(5 + E^(5 - 3*x)/5 - 3*x))/5,x]","e^{\frac{1}{5} e^{5-3 x}}-2 x","-2 x+e^{\frac{1}{5} e^{5-3 x}}-4",1,"E^(E^(5 - 3*x)/5) - 2*x","A",1
5413,1,25,25,0.0653568,"\int \frac{e^{\frac{1}{2} \left(24 x^2-e^3 x^2+x^3\right)} \left(48 x-2 e^3 x+3 x^2\right)}{2+2 e^2} \, dx","Integrate[(E^((24*x^2 - E^3*x^2 + x^3)/2)*(48*x - 2*E^3*x + 3*x^2))/(2 + 2*E^2),x]","\frac{e^{\frac{1}{2} x^2 \left(x-e^3+24\right)}}{1+e^2}","\frac{e^{\frac{1}{2} x^2 \left(x-e^3+24\right)}}{1+e^2}",1,"E^((x^2*(24 - E^3 + x))/2)/(1 + E^2)","A",1
5414,1,30,20,0.0127714,"\int \frac{(3+x)^3 \left(30-68 x+30 x^2-4 x^3\right)}{27-9 x-3 x^2+x^3} \, dx","Integrate[((3 + x)^3*(30 - 68*x + 30*x^2 - 4*x^3))/(27 - 9*x - 3*x^2 + x^3),x]","-\frac{x^5+3 x^4-20 x^3-72 x^2+243 x-459}{x-3}","\left(-x-\frac{2}{3-x}+3\right) (x+3)^3",1,"-((-459 + 243*x - 72*x^2 - 20*x^3 + 3*x^4 + x^5)/(-3 + x))","A",1
5415,1,5,14,0.000072,"\int 60 \log (8) \, dx","Integrate[60*Log[8],x]","60 x \log (8)","5 \left(\left(12 x-\frac{1}{3}\right) \log (8)+8\right)",1,"60*x*Log[8]","A",1
5416,1,27,27,0.4417135,"\int \frac{e^{-2 x} \left(-e^{2 x} x^2+\exp \left(\frac{2 e^{-2 x} \left(-e^4+e^{2 x} (-3+x)\right)}{x}\right) \left(24 e^{2 x}+e^4 (8+16 x)\right)\right)}{x^2} \, dx","Integrate[(-(E^(2*x)*x^2) + E^((2*(-E^4 + E^(2*x)*(-3 + x)))/(E^(2*x)*x))*(24*E^(2*x) + E^4*(8 + 16*x)))/(E^(2*x)*x^2),x]","4 e^{-\frac{2 e^{4-2 x}}{x}-\frac{6}{x}+2}-x","4 \left(e^{\frac{2 \left(x-e^{4-2 x}-3\right)}{x}}+5\right)-x",1,"4*E^(2 - 6/x - (2*E^(4 - 2*x))/x) - x","A",1
5417,1,17,25,0.0056821,"\int \frac{-50 e^2-5 x+e^x x^3}{x^3} \, dx","Integrate[(-50*E^2 - 5*x + E^x*x^3)/x^3,x]","\frac{25 e^2}{x^2}+e^x+\frac{5}{x}","\frac{25 e^2 \left(\frac{1}{x}-x\right)+5}{x}+e^x-e",1,"E^x + (25*E^2)/x^2 + 5/x","A",1
5418,1,479,29,0.8761757,"\int \frac{-344373768+\left(344373768+573956280 x-229582512 x^2\right) \log ^2(4)+\left(-803538792 x+267846264 x^3-59521392 x^4\right) \log ^4(4)+\left(803538792 x^2-624974616 x^3+89282088 x^4+29760696 x^5-6613488 x^6\right) \log ^6(4)+\left(-446410440 x^3+595213920 x^4-297606960 x^5+66134880 x^6-5511240 x^7\right) \log ^8(4)+\left(148803480 x^4-267846264 x^5+198404640 x^6-77157360 x^7+16533720 x^8-1837080 x^9+81648 x^{10}\right) \log ^{10}(4)+\left(-29760696 x^5+66134880 x^6-62828136 x^7+33067440 x^8-10410120 x^9+1959552 x^{10}-204120 x^{11}+9072 x^{12}\right) \log ^{12}(4)+\left(3306744 x^6-8660520 x^7+9920232 x^8-6491016 x^9+2653560 x^{10}-694008 x^{11}+113400 x^{12}-10584 x^{13}+432 x^{14}\right) \log ^{14}(4)+\left(19683-59049 x+78732 x^2-61236 x^3+30618 x^4-10206 x^5+2268 x^6-157788 x^7+472419 x^8-629857 x^9+489888 x^{10}-244944 x^{11}+81648 x^{12}-18144 x^{13}+2592 x^{14}-216 x^{15}+8 x^{16}\right) \log ^{16}(4)+\left(1836660096+\left(-1607077584-2678462640 x+1071385056 x^2\right) \log ^2(4)+\left(3214155168 x-1071385056 x^3+238085568 x^4\right) \log ^4(4)+\left(-2678462640 x^2+2083248720 x^3-297606960 x^4-99202320 x^5+22044960 x^6\right) \log ^6(4)+\left(1190427840 x^3-1587237120 x^4+793618560 x^5-176359680 x^6+14696640 x^7\right) \log ^8(4)+\left(-297606960 x^4+535692528 x^5-396809280 x^6+154314720 x^7-33067440 x^8+3674160 x^9-163296 x^{10}\right) \log ^{10}(4)+\left(39680928 x^5-88179840 x^6+83770848 x^7-44089920 x^8+13880160 x^9-2612736 x^{10}+272160 x^{11}-12096 x^{12}\right) \log ^{12}(4)+\left(-2204496 x^6+5773680 x^7-6613488 x^8+4327344 x^9-1769040 x^{10}+462672 x^{11}-75600 x^{12}+7056 x^{13}-288 x^{14}\right) \log ^{14}(4)\right) \log (5)+\left(-4591650240+\left(3482001432+5803335720 x-2321334288 x^2\right) \log ^2(4)+\left(-5892617808 x+1964205936 x^3-436490208 x^4\right) \log ^4(4)+\left(4017693960 x^2-3124873080 x^3+446410440 x^4+148803480 x^5-33067440 x^6\right) \log ^6(4)+\left(-1388832480 x^3+1851776640 x^4-925888320 x^5+205752960 x^6-17146080 x^7\right) \log ^8(4)+\left(248005800 x^4-446410440 x^5+330674400 x^6-128595600 x^7+27556200 x^8-3061800 x^9+136080 x^{10}\right) \log ^{10}(4)+\left(-19840464 x^5+44089920 x^6-41885424 x^7+22044960 x^8-6940080 x^9+1306368 x^{10}-136080 x^{11}+6048 x^{12}\right) \log ^{12}(4)+\left(367416 x^6-962280 x^7+1102248 x^8-721224 x^9+294840 x^{10}-77112 x^{11}+12600 x^{12}-1176 x^{13}+48 x^{14}\right) \log ^{14}(4)\right) \log ^2(5)+\left(7142567040+\left(-4642668576-7737780960 x+3095112384 x^2\right) \log ^2(4)+\left(6547353120 x-2182451040 x^3+484989120 x^4\right) \log ^4(4)+\left(-3571283520 x^2+2777664960 x^3-396809280 x^4-132269760 x^5+29393280 x^6\right) \log ^6(4)+\left(925888320 x^3-1234517760 x^4+617258880 x^5-137168640 x^6+11430720 x^7\right) \log ^8(4)+\left(-110224800 x^4+198404640 x^5-146966400 x^6+57153600 x^7-12247200 x^8+1360800 x^9-60480 x^{10}\right) \log ^{10}(4)+\left(4408992 x^5-9797760 x^6+9307872 x^7-4898880 x^8+1542240 x^9-290304 x^{10}+30240 x^{11}-1344 x^{12}\right) \log ^{12}(4)\right) \log ^3(5)+\left(-7737780960+\left(4255779528+7092965880 x-2837186352 x^2\right) \log ^2(4)+\left(-4910514840 x+1636838280 x^3-363741840 x^4\right) \log ^4(4)+\left(2083248720 x^2-1620304560 x^3+231472080 x^4+77157360 x^5-17146080 x^6\right) \log ^6(4)+\left(-385786800 x^3+514382400 x^4-257191200 x^5+57153600 x^6-4762800 x^7\right) \log ^8(4)+\left(27556200 x^4-49601160 x^5+36741600 x^6-14288400 x^7+3061800 x^8-340200 x^9+15120 x^{10}\right) \log ^{10}(4)+\left(-367416 x^5+816480 x^6-775656 x^7+408240 x^8-128520 x^9+24192 x^{10}-2520 x^{11}+112 x^{12}\right) \log ^{12}(4)\right) \log ^4(5)+\left(6190224768+\left(-2837186352-4728643920 x+1891457568 x^2\right) \log ^2(4)+\left(2618941248 x-872980416 x^3+193995648 x^4\right) \log ^4(4)+\left(-833299488 x^2+648121824 x^3-92588832 x^4-30862944 x^5+6858432 x^6\right) \log ^6(4)+\left(102876480 x^3-137168640 x^4+68584320 x^5-15240960 x^6+1270080 x^7\right) \log ^8(4)+\left(-3674160 x^4+6613488 x^5-4898880 x^6+1905120 x^7-408240 x^8+45360 x^9-2016 x^{10}\right) \log ^{10}(4)\right) \log ^5(5)+\left(-3782915136+\left(1418593176+2364321960 x-945728784 x^2\right) \log ^2(4)+\left(-1018477152 x+339492384 x^3-75442752 x^4\right) \log ^4(4)+\left(231472080 x^2-180033840 x^3+25719120 x^4+8573040 x^5-1905120 x^6\right) \log ^6(4)+\left(-17146080 x^3+22861440 x^4-11430720 x^5+2540160 x^6-211680 x^7\right) \log ^8(4)+\left(204120 x^4-367416 x^5+272160 x^6-105840 x^7+22680 x^8-2520 x^9+112 x^{10}\right) \log ^{10}(4)\right) \log ^6(5)+\left(1801388160+\left(-540416448-900694080 x+360277632 x^2\right) \log ^2(4)+\left(290993472 x-96997824 x^3+21555072 x^4\right) \log ^4(4)+\left(-44089920 x^2+34292160 x^3-4898880 x^4-1632960 x^5+362880 x^6\right) \log ^6(4)+\left(1632960 x^3-2177280 x^4+1088640 x^5-241920 x^6+20160 x^7\right) \log ^8(4)\right) \log ^7(5)+\left(-675520560+\left(157621464+262702440 x-105080976 x^2\right) \log ^2(4)+\left(-60623640 x+20207880 x^3-4490640 x^4\right) \log ^4(4)+\left(5511240 x^2-4286520 x^3+612360 x^4+204120 x^5-45360 x^6\right) \log ^6(4)+\left(-68040 x^3+90720 x^4-45360 x^5+10080 x^6-840 x^7\right) \log ^8(4)\right) \log ^8(5)+\left(200154240+\left(-35026992-58378320 x+23351328 x^2\right) \log ^2(4)+\left(8981280 x-2993760 x^3+665280 x^4\right) \log ^4(4)+\left(-408240 x^2+317520 x^3-45360 x^4-15120 x^5+3360 x^6\right) \log ^6(4)\right) \log ^9(5)+\left(-46702656+\left(5837832+9729720 x-3891888 x^2\right) \log ^2(4)+\left(-898128 x+299376 x^3-66528 x^4\right) \log ^4(4)+\left(13608 x^2-10584 x^3+1512 x^4+504 x^5-112 x^6\right) \log ^6(4)\right) \log ^{10}(5)+\left(8491392+\left(-707616-1179360 x+471744 x^2\right) \log ^2(4)+\left(54432 x-18144 x^3+4032 x^4\right) \log ^4(4)\right) \log ^{11}(5)+\left(-1179360+\left(58968+98280 x-39312 x^2\right) \log ^2(4)+\left(-1512 x+504 x^3-112 x^4\right) \log ^4(4)\right) \log ^{12}(5)+\left(120960+\left(-3024-5040 x+2016 x^2\right) \log ^2(4)\right) \log ^{13}(5)+\left(-8640+\left(72+120 x-48 x^2\right) \log ^2(4)\right) \log ^{14}(5)+384 \log ^{15}(5)-8 \log ^{16}(5)}{\left(-19683+59049 x-78732 x^2+61236 x^3-30618 x^4+10206 x^5-2268 x^6+324 x^7-27 x^8+x^9\right) \log ^{16}(4)} \, dx","Integrate[(-344373768 + (344373768 + 573956280*x - 229582512*x^2)*Log[4]^2 + (-803538792*x + 267846264*x^3 - 59521392*x^4)*Log[4]^4 + (803538792*x^2 - 624974616*x^3 + 89282088*x^4 + 29760696*x^5 - 6613488*x^6)*Log[4]^6 + (-446410440*x^3 + 595213920*x^4 - 297606960*x^5 + 66134880*x^6 - 5511240*x^7)*Log[4]^8 + (148803480*x^4 - 267846264*x^5 + 198404640*x^6 - 77157360*x^7 + 16533720*x^8 - 1837080*x^9 + 81648*x^10)*Log[4]^10 + (-29760696*x^5 + 66134880*x^6 - 62828136*x^7 + 33067440*x^8 - 10410120*x^9 + 1959552*x^10 - 204120*x^11 + 9072*x^12)*Log[4]^12 + (3306744*x^6 - 8660520*x^7 + 9920232*x^8 - 6491016*x^9 + 2653560*x^10 - 694008*x^11 + 113400*x^12 - 10584*x^13 + 432*x^14)*Log[4]^14 + (19683 - 59049*x + 78732*x^2 - 61236*x^3 + 30618*x^4 - 10206*x^5 + 2268*x^6 - 157788*x^7 + 472419*x^8 - 629857*x^9 + 489888*x^10 - 244944*x^11 + 81648*x^12 - 18144*x^13 + 2592*x^14 - 216*x^15 + 8*x^16)*Log[4]^16 + (1836660096 + (-1607077584 - 2678462640*x + 1071385056*x^2)*Log[4]^2 + (3214155168*x - 1071385056*x^3 + 238085568*x^4)*Log[4]^4 + (-2678462640*x^2 + 2083248720*x^3 - 297606960*x^4 - 99202320*x^5 + 22044960*x^6)*Log[4]^6 + (1190427840*x^3 - 1587237120*x^4 + 793618560*x^5 - 176359680*x^6 + 14696640*x^7)*Log[4]^8 + (-297606960*x^4 + 535692528*x^5 - 396809280*x^6 + 154314720*x^7 - 33067440*x^8 + 3674160*x^9 - 163296*x^10)*Log[4]^10 + (39680928*x^5 - 88179840*x^6 + 83770848*x^7 - 44089920*x^8 + 13880160*x^9 - 2612736*x^10 + 272160*x^11 - 12096*x^12)*Log[4]^12 + (-2204496*x^6 + 5773680*x^7 - 6613488*x^8 + 4327344*x^9 - 1769040*x^10 + 462672*x^11 - 75600*x^12 + 7056*x^13 - 288*x^14)*Log[4]^14)*Log[5] + (-4591650240 + (3482001432 + 5803335720*x - 2321334288*x^2)*Log[4]^2 + (-5892617808*x + 1964205936*x^3 - 436490208*x^4)*Log[4]^4 + (4017693960*x^2 - 3124873080*x^3 + 446410440*x^4 + 148803480*x^5 - 33067440*x^6)*Log[4]^6 + (-1388832480*x^3 + 1851776640*x^4 - 925888320*x^5 + 205752960*x^6 - 17146080*x^7)*Log[4]^8 + (248005800*x^4 - 446410440*x^5 + 330674400*x^6 - 128595600*x^7 + 27556200*x^8 - 3061800*x^9 + 136080*x^10)*Log[4]^10 + (-19840464*x^5 + 44089920*x^6 - 41885424*x^7 + 22044960*x^8 - 6940080*x^9 + 1306368*x^10 - 136080*x^11 + 6048*x^12)*Log[4]^12 + (367416*x^6 - 962280*x^7 + 1102248*x^8 - 721224*x^9 + 294840*x^10 - 77112*x^11 + 12600*x^12 - 1176*x^13 + 48*x^14)*Log[4]^14)*Log[5]^2 + (7142567040 + (-4642668576 - 7737780960*x + 3095112384*x^2)*Log[4]^2 + (6547353120*x - 2182451040*x^3 + 484989120*x^4)*Log[4]^4 + (-3571283520*x^2 + 2777664960*x^3 - 396809280*x^4 - 132269760*x^5 + 29393280*x^6)*Log[4]^6 + (925888320*x^3 - 1234517760*x^4 + 617258880*x^5 - 137168640*x^6 + 11430720*x^7)*Log[4]^8 + (-110224800*x^4 + 198404640*x^5 - 146966400*x^6 + 57153600*x^7 - 12247200*x^8 + 1360800*x^9 - 60480*x^10)*Log[4]^10 + (4408992*x^5 - 9797760*x^6 + 9307872*x^7 - 4898880*x^8 + 1542240*x^9 - 290304*x^10 + 30240*x^11 - 1344*x^12)*Log[4]^12)*Log[5]^3 + (-7737780960 + (4255779528 + 7092965880*x - 2837186352*x^2)*Log[4]^2 + (-4910514840*x + 1636838280*x^3 - 363741840*x^4)*Log[4]^4 + (2083248720*x^2 - 1620304560*x^3 + 231472080*x^4 + 77157360*x^5 - 17146080*x^6)*Log[4]^6 + (-385786800*x^3 + 514382400*x^4 - 257191200*x^5 + 57153600*x^6 - 4762800*x^7)*Log[4]^8 + (27556200*x^4 - 49601160*x^5 + 36741600*x^6 - 14288400*x^7 + 3061800*x^8 - 340200*x^9 + 15120*x^10)*Log[4]^10 + (-367416*x^5 + 816480*x^6 - 775656*x^7 + 408240*x^8 - 128520*x^9 + 24192*x^10 - 2520*x^11 + 112*x^12)*Log[4]^12)*Log[5]^4 + (6190224768 + (-2837186352 - 4728643920*x + 1891457568*x^2)*Log[4]^2 + (2618941248*x - 872980416*x^3 + 193995648*x^4)*Log[4]^4 + (-833299488*x^2 + 648121824*x^3 - 92588832*x^4 - 30862944*x^5 + 6858432*x^6)*Log[4]^6 + (102876480*x^3 - 137168640*x^4 + 68584320*x^5 - 15240960*x^6 + 1270080*x^7)*Log[4]^8 + (-3674160*x^4 + 6613488*x^5 - 4898880*x^6 + 1905120*x^7 - 408240*x^8 + 45360*x^9 - 2016*x^10)*Log[4]^10)*Log[5]^5 + (-3782915136 + (1418593176 + 2364321960*x - 945728784*x^2)*Log[4]^2 + (-1018477152*x + 339492384*x^3 - 75442752*x^4)*Log[4]^4 + (231472080*x^2 - 180033840*x^3 + 25719120*x^4 + 8573040*x^5 - 1905120*x^6)*Log[4]^6 + (-17146080*x^3 + 22861440*x^4 - 11430720*x^5 + 2540160*x^6 - 211680*x^7)*Log[4]^8 + (204120*x^4 - 367416*x^5 + 272160*x^6 - 105840*x^7 + 22680*x^8 - 2520*x^9 + 112*x^10)*Log[4]^10)*Log[5]^6 + (1801388160 + (-540416448 - 900694080*x + 360277632*x^2)*Log[4]^2 + (290993472*x - 96997824*x^3 + 21555072*x^4)*Log[4]^4 + (-44089920*x^2 + 34292160*x^3 - 4898880*x^4 - 1632960*x^5 + 362880*x^6)*Log[4]^6 + (1632960*x^3 - 2177280*x^4 + 1088640*x^5 - 241920*x^6 + 20160*x^7)*Log[4]^8)*Log[5]^7 + (-675520560 + (157621464 + 262702440*x - 105080976*x^2)*Log[4]^2 + (-60623640*x + 20207880*x^3 - 4490640*x^4)*Log[4]^4 + (5511240*x^2 - 4286520*x^3 + 612360*x^4 + 204120*x^5 - 45360*x^6)*Log[4]^6 + (-68040*x^3 + 90720*x^4 - 45360*x^5 + 10080*x^6 - 840*x^7)*Log[4]^8)*Log[5]^8 + (200154240 + (-35026992 - 58378320*x + 23351328*x^2)*Log[4]^2 + (8981280*x - 2993760*x^3 + 665280*x^4)*Log[4]^4 + (-408240*x^2 + 317520*x^3 - 45360*x^4 - 15120*x^5 + 3360*x^6)*Log[4]^6)*Log[5]^9 + (-46702656 + (5837832 + 9729720*x - 3891888*x^2)*Log[4]^2 + (-898128*x + 299376*x^3 - 66528*x^4)*Log[4]^4 + (13608*x^2 - 10584*x^3 + 1512*x^4 + 504*x^5 - 112*x^6)*Log[4]^6)*Log[5]^10 + (8491392 + (-707616 - 1179360*x + 471744*x^2)*Log[4]^2 + (54432*x - 18144*x^3 + 4032*x^4)*Log[4]^4)*Log[5]^11 + (-1179360 + (58968 + 98280*x - 39312*x^2)*Log[4]^2 + (-1512*x + 504*x^3 - 112*x^4)*Log[4]^4)*Log[5]^12 + (120960 + (-3024 - 5040*x + 2016*x^2)*Log[4]^2)*Log[5]^13 + (-8640 + (72 + 120*x - 48*x^2)*Log[4]^2)*Log[5]^14 + 384*Log[5]^15 - 8*Log[5]^16)/((-19683 + 59049*x - 78732*x^2 + 61236*x^3 - 30618*x^4 + 10206*x^5 - 2268*x^6 + 324*x^7 - 27*x^8 + x^9)*Log[4]^16),x]","\frac{x^8 \log ^{16}(4)+8 x^6 \log ^{14}(4) (\log (5)-3)^2+24 x^5 \log ^{14}(4) (\log (5)-3)^2+4 x^4 \log ^{12}(4) \left(18 \log ^2(4)+7 (\log (5)-3)^2\right) (\log (5)-3)^2+24 x^3 \log ^{12}(4) \left(9 \log ^2(4)+7 (\log (5)-3)^2\right) (\log (5)-3)^2+4 x^2 \log ^{10}(4) \left(162 \log ^4(4)+189 \log ^2(4) (\log (5)-3)^2+14 (\log (5)-3)^4\right) (\log (5)-3)^2+\frac{24 \log ^2(4) (\log (5)-3)^{14}}{(x-3)^7}+\frac{4 \log ^2(4) \left(63 \log ^2(4)+2 (\log (5)-3)^2\right) (\log (5)-3)^{12}}{(x-3)^6}+\frac{168 \log ^4(4) \left(9 \log ^2(4)+(\log (5)-3)^2\right) (\log (5)-3)^{10}}{(x-3)^5}+\frac{14 \log ^4(4) \left(405 \log ^4(4)+108 \log ^2(4) (\log (5)-3)^2+2 (\log (5)-3)^4\right) (\log (5)-3)^8}{(x-3)^4}+\frac{504 \log ^6(4) \left(27 \log ^4(4)+15 \log ^2(4) (\log (5)-3)^2+(\log (5)-3)^4\right) (\log (5)-3)^6}{(x-3)^3}+\frac{28 \log ^6(4) \left(729 \log ^6(4)+810 \log ^4(4) (\log (5)-3)^2+135 \log ^2(4) (\log (5)-3)^4+2 (\log (5)-3)^6\right) (\log (5)-3)^4}{(x-3)^2}-x \log ^{10}(4) \left(\log ^6(4)-1944 \log ^4(4) (\log (5)-3)^2-3024 \log ^2(4) (\log (5)-3)^4-504 (\log (5)-3)^6\right)+\frac{24 \log ^8(4) \left(729 \log ^6(4)+1701 \log ^4(4) (\log (5)-3)^2+630 \log ^2(4) (\log (5)-3)^4+35 (\log (5)-3)^6\right) (\log (5)-3)^2}{x-3}+\frac{(\log (5)-3)^{16}}{(x-3)^8}}{\log ^{16}(4)}","\left(x-\frac{(3-\log (5))^2}{(3-x) \log ^2(4)}\right)^8-x",1,"(x^8*Log[4]^16 - x*Log[4]^10*(Log[4]^6 - 1944*Log[4]^4*(-3 + Log[5])^2 - 3024*Log[4]^2*(-3 + Log[5])^4 - 504*(-3 + Log[5])^6) + 24*x^5*Log[4]^14*(-3 + Log[5])^2 + 8*x^6*Log[4]^14*(-3 + Log[5])^2 + 24*x^3*Log[4]^12*(9*Log[4]^2 + 7*(-3 + Log[5])^2)*(-3 + Log[5])^2 + 4*x^4*Log[4]^12*(18*Log[4]^2 + 7*(-3 + Log[5])^2)*(-3 + Log[5])^2 + 4*x^2*Log[4]^10*(162*Log[4]^4 + 189*Log[4]^2*(-3 + Log[5])^2 + 14*(-3 + Log[5])^4)*(-3 + Log[5])^2 + (24*Log[4]^8*(729*Log[4]^6 + 1701*Log[4]^4*(-3 + Log[5])^2 + 630*Log[4]^2*(-3 + Log[5])^4 + 35*(-3 + Log[5])^6)*(-3 + Log[5])^2)/(-3 + x) + (28*Log[4]^6*(729*Log[4]^6 + 810*Log[4]^4*(-3 + Log[5])^2 + 135*Log[4]^2*(-3 + Log[5])^4 + 2*(-3 + Log[5])^6)*(-3 + Log[5])^4)/(-3 + x)^2 + (504*Log[4]^6*(27*Log[4]^4 + 15*Log[4]^2*(-3 + Log[5])^2 + (-3 + Log[5])^4)*(-3 + Log[5])^6)/(-3 + x)^3 + (14*Log[4]^4*(405*Log[4]^4 + 108*Log[4]^2*(-3 + Log[5])^2 + 2*(-3 + Log[5])^4)*(-3 + Log[5])^8)/(-3 + x)^4 + (168*Log[4]^4*(9*Log[4]^2 + (-3 + Log[5])^2)*(-3 + Log[5])^10)/(-3 + x)^5 + (4*Log[4]^2*(63*Log[4]^2 + 2*(-3 + Log[5])^2)*(-3 + Log[5])^12)/(-3 + x)^6 + (24*Log[4]^2*(-3 + Log[5])^14)/(-3 + x)^7 + (-3 + Log[5])^16/(-3 + x)^8)/Log[4]^16","B",1
5419,1,17,22,0.0108579,"\int \frac{2+16 x+5 x^2+e^5 \left(10 x+5 x^2\right)}{2 x+x^2} \, dx","Integrate[(2 + 16*x + 5*x^2 + E^5*(10*x + 5*x^2))/(2*x + x^2),x]","5 \left(1+e^5\right) x+\log (x)+5 \log (x+2)","\log (x)+5 \left(-e^5 (4-x)+x+\log (x+2)+9\right)",1,"5*(1 + E^5)*x + Log[x] + 5*Log[2 + x]","A",1
5420,1,34,31,0.5106787,"\int \frac{e^{5-e^{e^{\frac{e^{16} x}{3}}}-x} \left(-6-2 e^{16+e^{\frac{e^{16} x}{3}}+\frac{e^{16} x}{3}}-3 e^{-5+e^{e^{\frac{e^{16} x}{3}}}+x} \log (5)\right)}{3 \log (5)} \, dx","Integrate[(E^(5 - E^E^((E^16*x)/3) - x)*(-6 - 2*E^(16 + E^((E^16*x)/3) + (E^16*x)/3) - 3*E^(-5 + E^E^((E^16*x)/3) + x)*Log[5]))/(3*Log[5]),x]","-\frac{x \log (125)-6 e^{-x-e^{e^{\frac{e^{16} x}{3}}}+5}}{\log (125)}","\frac{2 e^{-x-e^{e^{\frac{e^{16} x}{3}}}+5}}{\log (5)}-x",1,"-((-6*E^(5 - E^E^((E^16*x)/3) - x) + x*Log[125])/Log[125])","A",1
5421,1,33,21,0.8913408,"\int \frac{e^{2 x} \left(-3+6 e^5+e^{-x} \left(3+e^5 (-3+x)\right)\right)+e^x \left(-36+e^5 (36-12 x)\right)}{144 e^5+e^x \left(-24 e^{5-x}+e^5 (-48-24 x)\right)+e^{2 x} \left(e^{5-2 x}+e^{5-x} (4+2 x)+e^5 \left(4+4 x+x^2\right)\right)} \, dx","Integrate[(E^(2*x)*(-3 + 6*E^5 + (3 + E^5*(-3 + x))/E^x) + E^x*(-36 + E^5*(36 - 12*x)))/(144*E^5 + E^x*(-24*E^(5 - x) + E^5*(-48 - 24*x)) + E^(2*x)*(E^(5 - 2*x) + E^(5 - x)*(4 + 2*x) + E^5*(4 + 4*x + x^2))),x]","\frac{3 e^x-6 e^{x+5}+11 e^5}{e^5 \left(e^x (x+2)-11\right)}","\frac{x+\frac{3}{e^5}-4}{x-11 e^{-x}+2}",1,"(11*E^5 + 3*E^x - 6*E^(5 + x))/(E^5*(-11 + E^x*(2 + x)))","A",1
5422,1,10,10,0.009964,"\int \left(300 x^3+e^x \left(100 x^3+25 x^4\right)\right) \, dx","Integrate[300*x^3 + E^x*(100*x^3 + 25*x^4),x]","25 \left(e^x+3\right) x^4","25 \left(e^x+3\right) x^4",1,"25*(3 + E^x)*x^4","A",1
5423,1,20,24,0.017752,"\int \left(-1+\left(-16 x^3 \log ^3(x)-16 x^3 \log ^4(x)\right) \log ^2\left(\frac{3 \log (2)}{e^2}\right)\right) \, dx","Integrate[-1 + (-16*x^3*Log[x]^3 - 16*x^3*Log[x]^4)*Log[(3*Log[2])/E^2]^2,x]","-4 x^4 (\log (\log (8))-2)^2 \log ^4(x)-x","-4 x^4 \log ^2\left(\frac{3 \log (2)}{e^2}\right) \log ^4(x)-x+5",1,"-x - 4*x^4*Log[x]^4*(-2 + Log[Log[8]])^2","A",1
5424,1,16,14,0.003578,"\int \left(-4 x+4 \log (x \log (4))+2 \log ^2(x \log (4))\right) \, dx","Integrate[-4*x + 4*Log[x*Log[4]] + 2*Log[x*Log[4]]^2,x]","2 x \log ^2(x \log (4))-2 x^2","2 x \left(\log ^2(x \log (4))-x\right)",1,"-2*x^2 + 2*x*Log[x*Log[4]]^2","A",1
5425,1,32,38,0.6054863,"\int \frac{-x^3-e x^3+(-2-2 e-3 x) \log (5)+e^{2 x^2} \left(-4 x^6+\left(3 x+4 x^3\right) \log (5)\right)}{x^3+e^2 x^3+2 x^4+x^5+e^{4 x^2} x^5+e \left(2 x^3+2 x^4\right)+e^{2 x^2} \left(-2 x^4-2 e x^4-2 x^5\right)} \, dx","Integrate[(-x^3 - E*x^3 + (-2 - 2*E - 3*x)*Log[5] + E^(2*x^2)*(-4*x^6 + (3*x + 4*x^3)*Log[5]))/(x^3 + E^2*x^3 + 2*x^4 + x^5 + E^(4*x^2)*x^5 + E*(2*x^3 + 2*x^4) + E^(2*x^2)*(-2*x^4 - 2*E*x^4 - 2*x^5)),x]","-\frac{\log (5)-x^3}{x^2 \left(e^{2 x^2} x-x-e-1\right)}","\frac{x^2-\frac{\log (5)}{x}}{e^{2 x^2} x^2-x^2-e x-x}",1,"-((-x^3 + Log[5])/(x^2*(-1 - E - x + E^(2*x^2)*x)))","A",1
5426,1,33,35,0.1644319,"\int \frac{-5 x+x^2+e^{x^2} \left(10 x^3-2 x^4+e^3 \left(-10 x^2+2 x^3\right)\right)+\left(-20 e^3+e^{x^2} \left(5 e^3-5 x\right)+20 x+\left(-5 e^3+5 x\right) \log \left(e^3-x\right)\right) \log \left(\frac{5}{4-e^{x^2}+\log \left(e^3-x\right)}\right)}{\left(4 e^3 x^2-4 x^3+e^{x^2} \left(-e^3 x^2+x^3\right)+\left(e^3 x^2-x^3\right) \log \left(e^3-x\right)\right) \log ^2\left(\frac{5}{4-e^{x^2}+\log \left(e^3-x\right)}\right)} \, dx","Integrate[(-5*x + x^2 + E^x^2*(10*x^3 - 2*x^4 + E^3*(-10*x^2 + 2*x^3)) + (-20*E^3 + E^x^2*(5*E^3 - 5*x) + 20*x + (-5*E^3 + 5*x)*Log[E^3 - x])*Log[5/(4 - E^x^2 + Log[E^3 - x])])/((4*E^3*x^2 - 4*x^3 + E^x^2*(-(E^3*x^2) + x^3) + (E^3*x^2 - x^3)*Log[E^3 - x])*Log[5/(4 - E^x^2 + Log[E^3 - x])]^2),x]","\frac{5-x}{x \log \left(\frac{5}{-e^{x^2}+\log \left(e^3-x\right)+4}\right)}","\frac{5-x}{x \log \left(\frac{5}{-e^{x^2}+\log \left(e^3-x\right)+4}\right)}+3",1,"(5 - x)/(x*Log[5/(4 - E^x^2 + Log[E^3 - x])])","A",1
5427,1,23,27,0.0903734,"\int \frac{\left(6-6 x-6 x^2+e^x \left(-2+4 x-x^2\right)\right) \log (\log (4))}{16 x^2-16 x^3+4 x^4} \, dx","Integrate[((6 - 6*x - 6*x^2 + E^x*(-2 + 4*x - x^2))*Log[Log[4]])/(16*x^2 - 16*x^3 + 4*x^4),x]","-\frac{\left(-6 x+e^x-3\right) \log (\log (4))}{4 (x-2) x}","\frac{\left(6 x-e^x+3\right) \log (\log (4))}{2 x (2 x-4)}",1,"-1/4*((-3 + E^x - 6*x)*Log[Log[4]])/((-2 + x)*x)","A",1
5428,1,27,25,0.1338073,"\int \frac{-2 x+2 x^2+\left(-2 x+4 x^2\right) \log (x)+e^{\frac{1}{2} (-8+\log (x))} \left(2 e^{x^2}+e^{x^2} \left(1+4 x^2\right) \log (x)\right)}{2 x} \, dx","Integrate[(-2*x + 2*x^2 + (-2*x + 4*x^2)*Log[x] + E^((-8 + Log[x])/2)*(2*E^x^2 + E^x^2*(1 + 4*x^2)*Log[x]))/(2*x),x]","x^2 \log (x)+e^{x^2-4} \sqrt{x} \log (x)-x \log (x)","\left(x^2+e^{x^2-4} \sqrt{x}-x\right) \log (x)-1",1,"E^(-4 + x^2)*Sqrt[x]*Log[x] - x*Log[x] + x^2*Log[x]","A",1
5429,1,16,24,0.0762042,"\int \frac{84+16 x-76 x^2+\left(-80-320 x-80 x^2\right) \log \left(\frac{5+20 x+5 x^2}{x}\right)}{1+4 x+x^2} \, dx","Integrate[(84 + 16*x - 76*x^2 + (-80 - 320*x - 80*x^2)*Log[(5 + 20*x + 5*x^2)/x])/(1 + 4*x + x^2),x]","4 x-80 x \log \left(5 \left(x+\frac{1}{x}+4\right)\right)","x \left(4-80 \log \left(\frac{5 \left((x+4) x^2+x\right)}{x^2}\right)\right)+\log (2)",1,"4*x - 80*x*Log[5*(4 + x^(-1) + x)]","A",1
5430,1,57,15,0.0258384,"\int \frac{2 x^6+\left(6 x^3+2 x^4\right) \log (2)+\left(-6 x^3 \log (2)+\left(18+12 x+2 x^2\right) \log ^2(2)\right) \log (x)+\left(-36-18 x-2 x^2\right) \log ^2(2) \log ^2(x)}{x^5} \, dx","Integrate[(2*x^6 + (6*x^3 + 2*x^4)*Log[2] + (-6*x^3*Log[2] + (18 + 12*x + 2*x^2)*Log[2]^2)*Log[x] + (-36 - 18*x - 2*x^2)*Log[2]^2*Log[x]^2)/x^5,x]","\frac{9 \log ^2(2) \log ^2(x)}{x^4}+\frac{6 \log ^2(2) \log ^2(x)}{x^3}+x^2+\frac{\log ^2(2) \log ^2(x)}{x^2}+2 \log (2) \log (x)+\frac{2 \log (8) \log (x)}{x}","\left(\frac{(x+3) \log (2) \log (x)}{x^2}+x\right)^2",1,"x^2 + 2*Log[2]*Log[x] + (2*Log[8]*Log[x])/x + (9*Log[2]^2*Log[x]^2)/x^4 + (6*Log[2]^2*Log[x]^2)/x^3 + (Log[2]^2*Log[x]^2)/x^2","B",1
5431,1,8,19,0.002096,"\int \frac{1+5 x}{-4+5 x} \, dx","Integrate[(1 + 5*x)/(-4 + 5*x),x]","x+\log (5 x-4)","x-\log \left(\frac{5-\log (4)}{4-5 x}\right)",1,"x + Log[-4 + 5*x]","A",1
5432,1,16,20,0.006913,"\int -\frac{6075 e^{\frac{225}{-19+3 e+3 x}}}{361+9 e^2-114 x+9 x^2+e (-114+18 x)} \, dx","Integrate[(-6075*E^(225/(-19 + 3*E + 3*x)))/(361 + 9*E^2 - 114*x + 9*x^2 + E*(-114 + 18*x)),x]","9 e^{\frac{225}{3 x+3 e-19}}","9 \left(e^{\frac{225}{3 (x-8)+3 e+5}}+4\right)",1,"9*E^(225/(-19 + 3*E + 3*x))","A",1
5433,1,39,27,0.2989918,"\int \frac{3 x^3+e^{3/x} (15+e (-48-16 x)+5 x)}{-60 x^3+15 x^4+e^{3/x} \left(-25 x^2+80 e x^2\right)} \, dx","Integrate[(3*x^3 + E^(3/x)*(15 + E*(-48 - 16*x) + 5*x))/(-60*x^3 + 15*x^4 + E^(3/x)*(-25*x^2 + 80*E*x^2)),x]","\frac{1}{5} \left(\log \left(3 x^2-12 x+16 e^{\frac{3}{x}+1}-5 e^{3/x}\right)-\log (x)\right)","\frac{1}{5} \log \left(x+\frac{(16 e-5) e^{3/x}}{3 x}-4\right)",1,"(-Log[x] + Log[16*E^(1 + 3/x) - 5*E^(3/x) - 12*x + 3*x^2])/5","A",1
5434,1,15,24,0.0012213,"\int \frac{-3-2 x-6 x^2}{3 x} \, dx","Integrate[(-3 - 2*x - 6*x^2)/(3*x),x]","-x^2-\frac{2 x}{3}-\log (x)","-x^2-\frac{2 x}{3}-\log (x)+\frac{7}{2}-\log \left(\frac{5}{3}\right)",1,"(-2*x)/3 - x^2 - Log[x]","A",1
5435,1,18,22,0.0111138,"\int \frac{e^5 (-9-6 x)}{\left(15 x+5 x^2\right) \log ^2\left(\frac{1}{2} \left(3 x+x^2\right)\right)} \, dx","Integrate[(E^5*(-9 - 6*x))/((15*x + 5*x^2)*Log[(3*x + x^2)/2]^2),x]","\frac{3 e^5}{5 \log \left(\frac{1}{2} x (x+3)\right)}","\frac{1}{5} e^5 \left(\frac{3}{\log \left(\frac{1}{2} x (x+3)\right)}-3\right)",1,"(3*E^5)/(5*Log[(x*(3 + x))/2])","A",1
5436,1,14,18,0.0005193,"\int e^5 (5+5 x) \, dx","Integrate[E^5*(5 + 5*x),x]","5 e^5 \left(\frac{x^2}{2}+x\right)","-\frac{5}{4} e^5 \left(-2 x+\frac{3}{x}-4\right) x",1,"5*E^5*(x + x^2/2)","A",1
5437,1,39,34,0.200781,"\int \frac{e^{-x} \left(-20 x-20 x^2+8 x^3+5 e^x x^3+\left(10+3 x-2 x^2\right) \log (\log (3))\right)}{3 x^3} \, dx","Integrate[(-20*x - 20*x^2 + 8*x^3 + 5*E^x*x^3 + (10 + 3*x - 2*x^2)*Log[Log[3]])/(3*E^x*x^3),x]","\frac{e^{-x} \left(5 e^x x^3-8 x^2+2 x (10+\log (\log (3)))-5 \log (\log (3))\right)}{3 x^2}","x+\frac{1}{3} \left(3-\frac{x+5}{x}\right) \left(x+e^{-x} \left(\frac{\log (\log (3))}{x}-4\right)\right)+1",1,"(-8*x^2 + 5*E^x*x^3 - 5*Log[Log[3]] + 2*x*(10 + Log[Log[3]]))/(3*E^x*x^2)","A",1
5438,1,9,9,0.0005508,"\int -\frac{2 \log (20)}{15 x^3} \, dx","Integrate[(-2*Log[20])/(15*x^3),x]","\frac{\log (20)}{15 x^2}","\frac{\log (20)}{15 x^2}",1,"Log[20]/(15*x^2)","A",1
5439,1,31,26,0.52921,"\int \frac{-108+144 x-36 x^2+\left(54-144 x+54 x^2\right) \log \left(x^2\right)+e^{-5+e^x} \left(-18+18 x+\left(9-18 x+e^x \left(9 x-9 x^2\right)\right) \log \left(x^2\right)\right)}{\log ^2\left(x^2\right)} \, dx","Integrate[(-108 + 144*x - 36*x^2 + (54 - 144*x + 54*x^2)*Log[x^2] + E^(-5 + E^x)*(-18 + 18*x + (9 - 18*x + E^x*(9*x - 9*x^2))*Log[x^2]))/Log[x^2]^2,x]","\frac{9 \left(2 e^5 (x-3)-e^{e^x}\right) (x-1) x}{e^5 \log \left(x^2\right)}","\frac{3 (3-3 x) \left(-2 x+e^{e^x-5}+6\right) x}{\log \left(x^2\right)}",1,"(9*(-E^E^x + 2*E^5*(-3 + x))*(-1 + x)*x)/(E^5*Log[x^2])","A",1
5440,1,38,33,0.0400269,"\int \frac{-2 x+2 x^2-x^4-2 x^5+33 x^6+30 x^9+\left(-2+4 x-4 x^3+65 x^4+60 x^7\right) \log (1-x)+\left(30 x^2+30 x^5\right) \log ^2(1-x)}{5 x^4+10 x^2 \log (1-x)+5 \log ^2(1-x)} \, dx","Integrate[(-2*x + 2*x^2 - x^4 - 2*x^5 + 33*x^6 + 30*x^9 + (-2 + 4*x - 4*x^3 + 65*x^4 + 60*x^7)*Log[1 - x] + (30*x^2 + 30*x^5)*Log[1 - x]^2)/(5*x^4 + 10*x^2*Log[1 - x] + 5*Log[1 - x]^2),x]","\frac{1}{5} \left(5 x^6+10 x^3+\frac{(x-1) \left(x^4+2 x\right)}{x^2+\log (1-x)}\right)","x \left(x^4+2 x\right) \left(\frac{x-1}{5 x \left(x^2+\log (1-x)\right)}+x\right)",1,"(10*x^3 + 5*x^6 + ((-1 + x)*(2*x + x^4))/(x^2 + Log[1 - x]))/5","A",1
5441,1,22,27,0.0128746,"\int \frac{1}{4} \left(-2-2 e^{2 x}+e^x (-1+x)\right) \, dx","Integrate[(-2 - 2*E^(2*x) + E^x*(-1 + x))/4,x]","\frac{1}{4} \left(e^x (x-2)-e^{2 x}-2 x\right)","\frac{1}{4} \left(-e^x \left(-x+e^x+2\right)-2 x-e^2+6\right)",1,"(-E^(2*x) + E^x*(-2 + x) - 2*x)/4","A",1
5442,1,18,18,0.0040824,"\int \frac{-16-128 x^2+768 x^4+\left(-2-16 x^2+96 x^4\right) \log (4)}{x^2} \, dx","Integrate[(-16 - 128*x^2 + 768*x^4 + (-2 - 16*x^2 + 96*x^4)*Log[4])/x^2,x]","2 \left(16 x^3-8 x+\frac{1}{x}\right) (8+\log (4))","\frac{2 \left(1-4 x^2\right)^2 (8+\log (4))}{x}",1,"2*(x^(-1) - 8*x + 16*x^3)*(8 + Log[4])","A",1
5443,1,9,10,0.0049003,"\int \left(e^{e^x+x}+2 x\right) \, dx","Integrate[E^(E^x + x) + 2*x,x]","x^2+e^{e^x}","x^2+e^{e^x}-3",1,"E^E^x + x^2","A",1
5444,1,25,30,0.0522386,"\int \frac{-23 x-86 x^2-238 x^3-40 x^4+100 x^5+\left(1+3 x-40 x^2-113 x^3-20 x^4+50 x^5\right) \log (x)+\left(x+4 x^2+3 x^3\right) \log ^2(x)+\left(2-50 x+40 x^2+\left(1-25 x+20 x^2\right) \log (x)\right) \log (2+\log (x))}{2 x+x \log (x)} \, dx","Integrate[(-23*x - 86*x^2 - 238*x^3 - 40*x^4 + 100*x^5 + (1 + 3*x - 40*x^2 - 113*x^3 - 20*x^4 + 50*x^5)*Log[x] + (x + 4*x^2 + 3*x^3)*Log[x]^2 + (2 - 50*x + 40*x^2 + (1 - 25*x + 20*x^2)*Log[x])*Log[2 + Log[x]])/(2*x + x*Log[x]),x]","(5 x (2 x-5)+\log (x)) \left(x (x+1)^2+\log (\log (x)+2)\right)","(5 (x (2 x-4)-x)+\log (x)) \left(x (x+1)^2+\log (\log (x)+2)\right)",1,"(5*x*(-5 + 2*x) + Log[x])*(x*(1 + x)^2 + Log[2 + Log[x]])","A",1
5445,1,16,16,0.0067684,"\int \frac{-6+x^4+e^{x^4} x^7}{x^4} \, dx","Integrate[(-6 + x^4 + E^x^4*x^7)/x^4,x]","\frac{e^{x^4}}{4}+\frac{2}{x^3}+x","\frac{e^{x^4}}{4}+\frac{2}{x^3}+x",1,"E^x^4/4 + 2/x^3 + x","A",1
5446,1,37,24,0.4283526,"\int \frac{2+2 e-e^{25+x}+2 x+(-2-2 e-4 x) \log (\log (2))+2 x \log ^2(\log (2))}{1+e^2-e^{25+x}+2 x+x^2+e (2+2 x)+\left(-2 x-2 e x-2 x^2\right) \log (\log (2))+x^2 \log ^2(\log (2))} \, dx","Integrate[(2 + 2*E - E^(25 + x) + 2*x + (-2 - 2*E - 4*x)*Log[Log[2]] + 2*x*Log[Log[2]]^2)/(1 + E^2 - E^(25 + x) + 2*x + x^2 + E*(2 + 2*x) + (-2*x - 2*E*x - 2*x^2)*Log[Log[2]] + x^2*Log[Log[2]]^2),x]","\log \left(e^{x+25}-(x (\log (\log (2))-1)-1)^2+2 e (x (\log (\log (2))-1)-1)-e^2\right)","\log \left(e^{x+25}-(-x+x \log (\log (2))-e-1)^2\right)",1,"Log[-E^2 + E^(25 + x) + 2*E*(-1 + x*(-1 + Log[Log[2]])) - (-1 + x*(-1 + Log[Log[2]]))^2]","A",1
5447,1,22,29,0.0380881,"\int \frac{20+40 x^2-30 x^3-30 x \log (x)}{16 x^3+24 x^4+9 x^5+\left(-160 x^3-120 x^4\right) \log (4)+400 x^3 \log ^2(4)+\left(16 x+24 x^2+9 x^3+\left(-160 x-120 x^2\right) \log (4)+400 x \log ^2(4)\right) \log (x)+\left(-16 x^3-12 x^4+80 x^3 \log (4)+\left(-16 x-12 x^2+80 x \log (4)\right) \log (x)\right) \log \left(x^2+\log (x)\right)+\left(4 x^3+4 x \log (x)\right) \log ^2\left(x^2+\log (x)\right)} \, dx","Integrate[(20 + 40*x^2 - 30*x^3 - 30*x*Log[x])/(16*x^3 + 24*x^4 + 9*x^5 + (-160*x^3 - 120*x^4)*Log[4] + 400*x^3*Log[4]^2 + (16*x + 24*x^2 + 9*x^3 + (-160*x - 120*x^2)*Log[4] + 400*x*Log[4]^2)*Log[x] + (-16*x^3 - 12*x^4 + 80*x^3*Log[4] + (-16*x - 12*x^2 + 80*x*Log[4])*Log[x])*Log[x^2 + Log[x]] + (4*x^3 + 4*x*Log[x])*Log[x^2 + Log[x]]^2),x]","\frac{10}{-2 \log \left(x^2+\log (x)\right)+3 x+4-20 \log (4)}","\frac{10}{2 \left(-\log \left(x^2+\log (x)\right)+2 (x-5 \log (4))+2\right)-x}",1,"10/(4 + 3*x - 20*Log[4] - 2*Log[x^2 + Log[x]])","A",1
5448,1,16,24,0.2960879,"\int \frac{e^{\frac{2+\frac{e^{30 x}}{19683}}{x}} \left(-2+\frac{e^{30 x} (-1+30 x)}{19683}\right)}{x^2} \, dx","Integrate[(E^((2 + E^(30*x)/19683)/x)*(-2 + (E^(30*x)*(-1 + 30*x))/19683))/x^2,x]","e^{\frac{e^{30 x}+39366}{19683 x}}","e^{\frac{3 e^{10 (3 x-\log (3))}+2}{x}}+4",1,"E^((39366 + E^(30*x))/(19683*x))","A",1
5449,1,308,21,0.687167,"\int \frac{-337500+1012500 x-4 e^{16} x-1260000 x^2+872000 x^3-374200 x^4+104008 x^5-18816 x^6+2144 x^7-140 x^8+4 x^9+e^{12} \left(-100-40 x+52 x^2-8 x^3\right)+e^8 \left(-4500+6000 x-2760 x^2+528 x^3-36 x^4\right)+e^{5 x} \left(108-216 x+144 x^2-40 x^3+4 x^4\right)+e^4 \left(-67500+153000 x-137100 x^2+64440 x^3-17380 x^4+2712 x^5-228 x^6+8 x^7\right)+e^{4 x} \left(-2700+5940 x-4680 x^2+1720 x^3-300 x^4+20 x^5+e^4 \left(-108+288 x-192 x^2+48 x^3-4 x^4\right)\right)+e^{3 x} \left(27000-64800 x+58680 x^2-26560 x^3+6440 x^4-800 x^5+40 x^6+e^8 \left(36-156 x+84 x^2-12 x^3\right)+e^4 \left(2160-5544 x+4236 x^2-1404 x^3+212 x^4-12 x^5\right)\right)+e^{2 x} \left(-135000+351000 x-358200 x^2+191480 x^3-58760 x^4+10440 x^5-1000 x^6+40 x^7+e^{12} \left(-4+40 x-12 x^2\right)+e^8 \left(-540+1800 x-1188 x^2+288 x^3-24 x^4\right)+e^4 \left(-16200+39960 x-33444 x^2+13320 x^3-2760 x^4+288 x^5-12 x^6\right)\right)+e^x \left(337500-945000 x-4 e^{16} x+1071000 x^2-657800 x^3+242640 x^4-55480 x^5+7720 x^6-600 x^7+20 x^8+e^{12} \left(40-192 x+92 x^2-12 x^3\right)+e^8 \left(2700-6300 x+4392 x^2-1368 x^3+204 x^4-12 x^5\right)+e^4 \left(54000-127800 x+112740 x^2-50388 x^3+12584 x^4-1776 x^5+132 x^6-4 x^7\right)\right)+\left(-337500+900000 x-960000 x^2+552000 x^3-190200 x^4+40608 x^5-5280 x^6+384 x^7-12 x^8+e^{12} \left(-60 x+12 x^2\right)+e^{5 x} \left(108-180 x+84 x^2-12 x^3\right)+e^8 \left(-1500+600 x+240 x^2-120 x^3+12 x^4\right)+e^4 \left(-45000+82500 x-56700 x^2+19320 x^3-3504 x^4+324 x^5-12 x^6\right)+e^{4 x} \left(-2700+5040 x-3000 x^2+720 x^3-60 x^4+e^4 \left(-72+204 x-96 x^2+12 x^3\right)\right)+e^{3 x} \left(27000-55800 x+40080 x^2-13200 x^3+2040 x^4-120 x^5+e^8 \left(12-84 x+24 x^2\right)+e^4 \left(1440-3720 x+2196 x^2-480 x^3+36 x^4\right)\right)+e^{2 x} \left(-135000+306000 x+12 e^{12} x-256200 x^2+106080 x^3-23400 x^4+2640 x^5-120 x^6+e^8 \left(-180+864 x-396 x^2+48 x^3\right)+e^4 \left(-10800+25200 x-17028 x^2+5004 x^3-684 x^4+36 x^5\right)\right)+e^x \left(337500-832500 x+793500 x^2-393300 x^3+111540 x^4-18300 x^5+1620 x^6-60 x^7+e^{12} \left(-48 x+12 x^2\right)+e^8 \left(900-2340 x+1332 x^2-300 x^3+24 x^4\right)+e^4 \left(36000-75000 x+53580 x^2-18384 x^3+3336 x^4-312 x^5+12 x^6\right)\right)\right) \log (x)+\left(-112500+262500 x-232500 x^2+106500 x^3-27900 x^4+4236 x^5-348 x^6+12 x^7+e^{5 x} \left(36-48 x+12 x^2\right)+e^8 \left(-300 x+120 x^2-12 x^3\right)+e^4 \left(-7500+9000 x-3600 x^2+600 x^3-36 x^4\right)+e^{4 x} \left(-900+1380 x-540 x^2+60 x^3+e^4 \left(-12+48 x-12 x^2\right)\right)+e^{3 x} \left(9000-15600 x-12 e^8 x+8160 x^2-1680 x^3+120 x^4+e^4 \left(240-792 x+324 x^2-36 x^3\right)\right)+e^{2 x} \left(-45000+87000 x-56400 x^2+16560 x^3-2280 x^4+120 x^5+e^8 \left(108 x-24 x^2\right)+e^4 \left(-1800+4680 x-2484 x^2+504 x^3-36 x^4\right)\right)+e^x \left(112500-240000 x+184500 x^2-69600 x^3+13980 x^4-1440 x^5+60 x^6+e^8 \left(-180 x+96 x^2-12 x^3\right)+e^4 \left(6000-11400 x+6540 x^2-1740 x^3+228 x^4-12 x^5\right)\right)\right) \log ^2(x)+\left(-12500+e^{5 x} (4-4 x)+25000 x-17500 x^2+6000 x^3-1100 x^4+104 x^5-4 x^6+e^{4 x} \left(-100+120 x+4 e^4 x-20 x^2\right)+e^4 \left(-500 x+300 x^2-60 x^3+4 x^4\right)+e^{3 x} \left(1000-1400 x+440 x^2-40 x^3+e^4 \left(-56 x+12 x^2\right)\right)+e^{2 x} \left(-5000+8000 x-3600 x^2+640 x^3-40 x^4+e^4 \left(240 x-108 x^2+12 x^3\right)\right)+e^x \left(12500-22500 x+13000 x^2-3400 x^3+420 x^4-20 x^5+e^4 \left(-200 x+180 x^2-48 x^3+4 x^4\right)\right)\right) \log ^3(x)}{-3125 x+e^{5 x} x+3125 x^2-1250 x^3+250 x^4-25 x^5+x^6+e^{4 x} \left(-25 x+5 x^2\right)+e^{3 x} \left(250 x-100 x^2+10 x^3\right)+e^{2 x} \left(-1250 x+750 x^2-150 x^3+10 x^4\right)+e^x \left(3125 x-2500 x^2+750 x^3-100 x^4+5 x^5\right)} \, dx","Integrate[(-337500 + 1012500*x - 4*E^16*x - 1260000*x^2 + 872000*x^3 - 374200*x^4 + 104008*x^5 - 18816*x^6 + 2144*x^7 - 140*x^8 + 4*x^9 + E^12*(-100 - 40*x + 52*x^2 - 8*x^3) + E^8*(-4500 + 6000*x - 2760*x^2 + 528*x^3 - 36*x^4) + E^(5*x)*(108 - 216*x + 144*x^2 - 40*x^3 + 4*x^4) + E^4*(-67500 + 153000*x - 137100*x^2 + 64440*x^3 - 17380*x^4 + 2712*x^5 - 228*x^6 + 8*x^7) + E^(4*x)*(-2700 + 5940*x - 4680*x^2 + 1720*x^3 - 300*x^4 + 20*x^5 + E^4*(-108 + 288*x - 192*x^2 + 48*x^3 - 4*x^4)) + E^(3*x)*(27000 - 64800*x + 58680*x^2 - 26560*x^3 + 6440*x^4 - 800*x^5 + 40*x^6 + E^8*(36 - 156*x + 84*x^2 - 12*x^3) + E^4*(2160 - 5544*x + 4236*x^2 - 1404*x^3 + 212*x^4 - 12*x^5)) + E^(2*x)*(-135000 + 351000*x - 358200*x^2 + 191480*x^3 - 58760*x^4 + 10440*x^5 - 1000*x^6 + 40*x^7 + E^12*(-4 + 40*x - 12*x^2) + E^8*(-540 + 1800*x - 1188*x^2 + 288*x^3 - 24*x^4) + E^4*(-16200 + 39960*x - 33444*x^2 + 13320*x^3 - 2760*x^4 + 288*x^5 - 12*x^6)) + E^x*(337500 - 945000*x - 4*E^16*x + 1071000*x^2 - 657800*x^3 + 242640*x^4 - 55480*x^5 + 7720*x^6 - 600*x^7 + 20*x^8 + E^12*(40 - 192*x + 92*x^2 - 12*x^3) + E^8*(2700 - 6300*x + 4392*x^2 - 1368*x^3 + 204*x^4 - 12*x^5) + E^4*(54000 - 127800*x + 112740*x^2 - 50388*x^3 + 12584*x^4 - 1776*x^5 + 132*x^6 - 4*x^7)) + (-337500 + 900000*x - 960000*x^2 + 552000*x^3 - 190200*x^4 + 40608*x^5 - 5280*x^6 + 384*x^7 - 12*x^8 + E^12*(-60*x + 12*x^2) + E^(5*x)*(108 - 180*x + 84*x^2 - 12*x^3) + E^8*(-1500 + 600*x + 240*x^2 - 120*x^3 + 12*x^4) + E^4*(-45000 + 82500*x - 56700*x^2 + 19320*x^3 - 3504*x^4 + 324*x^5 - 12*x^6) + E^(4*x)*(-2700 + 5040*x - 3000*x^2 + 720*x^3 - 60*x^4 + E^4*(-72 + 204*x - 96*x^2 + 12*x^3)) + E^(3*x)*(27000 - 55800*x + 40080*x^2 - 13200*x^3 + 2040*x^4 - 120*x^5 + E^8*(12 - 84*x + 24*x^2) + E^4*(1440 - 3720*x + 2196*x^2 - 480*x^3 + 36*x^4)) + E^(2*x)*(-135000 + 306000*x + 12*E^12*x - 256200*x^2 + 106080*x^3 - 23400*x^4 + 2640*x^5 - 120*x^6 + E^8*(-180 + 864*x - 396*x^2 + 48*x^3) + E^4*(-10800 + 25200*x - 17028*x^2 + 5004*x^3 - 684*x^4 + 36*x^5)) + E^x*(337500 - 832500*x + 793500*x^2 - 393300*x^3 + 111540*x^4 - 18300*x^5 + 1620*x^6 - 60*x^7 + E^12*(-48*x + 12*x^2) + E^8*(900 - 2340*x + 1332*x^2 - 300*x^3 + 24*x^4) + E^4*(36000 - 75000*x + 53580*x^2 - 18384*x^3 + 3336*x^4 - 312*x^5 + 12*x^6)))*Log[x] + (-112500 + 262500*x - 232500*x^2 + 106500*x^3 - 27900*x^4 + 4236*x^5 - 348*x^6 + 12*x^7 + E^(5*x)*(36 - 48*x + 12*x^2) + E^8*(-300*x + 120*x^2 - 12*x^3) + E^4*(-7500 + 9000*x - 3600*x^2 + 600*x^3 - 36*x^4) + E^(4*x)*(-900 + 1380*x - 540*x^2 + 60*x^3 + E^4*(-12 + 48*x - 12*x^2)) + E^(3*x)*(9000 - 15600*x - 12*E^8*x + 8160*x^2 - 1680*x^3 + 120*x^4 + E^4*(240 - 792*x + 324*x^2 - 36*x^3)) + E^(2*x)*(-45000 + 87000*x - 56400*x^2 + 16560*x^3 - 2280*x^4 + 120*x^5 + E^8*(108*x - 24*x^2) + E^4*(-1800 + 4680*x - 2484*x^2 + 504*x^3 - 36*x^4)) + E^x*(112500 - 240000*x + 184500*x^2 - 69600*x^3 + 13980*x^4 - 1440*x^5 + 60*x^6 + E^8*(-180*x + 96*x^2 - 12*x^3) + E^4*(6000 - 11400*x + 6540*x^2 - 1740*x^3 + 228*x^4 - 12*x^5)))*Log[x]^2 + (-12500 + E^(5*x)*(4 - 4*x) + 25000*x - 17500*x^2 + 6000*x^3 - 1100*x^4 + 104*x^5 - 4*x^6 + E^(4*x)*(-100 + 120*x + 4*E^4*x - 20*x^2) + E^4*(-500*x + 300*x^2 - 60*x^3 + 4*x^4) + E^(3*x)*(1000 - 1400*x + 440*x^2 - 40*x^3 + E^4*(-56*x + 12*x^2)) + E^(2*x)*(-5000 + 8000*x - 3600*x^2 + 640*x^3 - 40*x^4 + E^4*(240*x - 108*x^2 + 12*x^3)) + E^x*(12500 - 22500*x + 13000*x^2 - 3400*x^3 + 420*x^4 - 20*x^5 + E^4*(-200*x + 180*x^2 - 48*x^3 + 4*x^4)))*Log[x]^3)/(-3125*x + E^(5*x)*x + 3125*x^2 - 1250*x^3 + 250*x^4 - 25*x^5 + x^6 + E^(4*x)*(-25*x + 5*x^2) + E^(3*x)*(250*x - 100*x^2 + 10*x^3) + E^(2*x)*(-1250*x + 750*x^2 - 150*x^3 + 10*x^4) + E^x*(3125*x - 2500*x^2 + 750*x^3 - 100*x^4 + 5*x^5)),x]","x^4-12 x^3+54 x^2-\frac{4 \left(x^2-8 x+e^x (x-3)+e^4+15\right) \log ^3(x)}{x+e^x-5}+\frac{6 \left(x^2-8 x+e^x (x-3)+e^4+15\right)^2 \log ^2(x)}{\left(x+e^x-5\right)^2}-\frac{4 \left(x \left(x^2-9 x+27\right) (x-5)^3+3 e^x x \left(x^2-9 x+27\right) (x-5)^2+3 e^4 \left(x^2-8 x+15\right)^2+e^{3 x} x \left(x^2-9 x+27\right)+3 e^8 \left(x^2-8 x+15\right)+3 e^{2 x} x \left(x^3-14 x^2+72 x-135\right)+6 e^{x+4} (x-3)^2 (x-5)+3 e^{2 x+4} (x-3)^2+3 e^{x+8} (x-3)+e^{12}\right) \log (x)}{\left(x+e^x-5\right)^3}-108 x+\frac{4 e^4 (x-3)^3}{x+e^x-5}+\frac{6 e^8 (x-3)^2}{\left(x+e^x-5\right)^2}+\frac{4 e^{12} (x-3)}{\left(x+e^x-5\right)^3}+\frac{e^{16}}{\left(x+e^x-5\right)^4}+\log ^4(x)+108 \log (x)","\left(x+\frac{e^4}{x+e^x-5}-\log (x)-3\right)^4",1,"-108*x + 54*x^2 - 12*x^3 + x^4 + E^16/(-5 + E^x + x)^4 + (4*E^12*(-3 + x))/(-5 + E^x + x)^3 + (6*E^8*(-3 + x)^2)/(-5 + E^x + x)^2 + (4*E^4*(-3 + x)^3)/(-5 + E^x + x) + 108*Log[x] - (4*(E^12 + 3*E^(8 + x)*(-3 + x) + 3*E^(4 + 2*x)*(-3 + x)^2 + 6*E^(4 + x)*(-5 + x)*(-3 + x)^2 + E^(3*x)*x*(27 - 9*x + x^2) + 3*E^x*(-5 + x)^2*x*(27 - 9*x + x^2) + (-5 + x)^3*x*(27 - 9*x + x^2) + 3*E^8*(15 - 8*x + x^2) + 3*E^4*(15 - 8*x + x^2)^2 + 3*E^(2*x)*x*(-135 + 72*x - 14*x^2 + x^3))*Log[x])/(-5 + E^x + x)^3 + (6*(15 + E^4 + E^x*(-3 + x) - 8*x + x^2)^2*Log[x]^2)/(-5 + E^x + x)^2 - (4*(15 + E^4 + E^x*(-3 + x) - 8*x + x^2)*Log[x]^3)/(-5 + E^x + x) + Log[x]^4","B",1
5450,1,24,24,0.0146109,"\int \frac{-20-4 e^2+8 x}{\left(5 e^5 x^2+e^3 \left(50 x^2-10 x^3\right)+e \left(125 x^2-50 x^3+5 x^4\right)\right) \log (6)} \, dx","Integrate[(-20 - 4*E^2 + 8*x)/((5*E^5*x^2 + E^3*(50*x^2 - 10*x^3) + E*(125*x^2 - 50*x^3 + 5*x^4))*Log[6]),x]","\frac{4}{5 e \left(-x+e^2+5\right) x \log (6)}","\frac{4}{5 e \left(-x+e^2+5\right) x \log (6)}",1,"4/(5*E*(5 + E^2 - x)*x*Log[6])","A",1
5451,1,19,19,1.3644002,"\int \frac{\exp \left(-e^x x+\frac{e^{-e^x x} \left(-361 x^2+16 e^{e^x x} x^2\right)}{8 x}\right) \left(-361 x+16 e^{e^x x} x+e^x \left(361 x^2+361 x^3\right)\right)}{8 x} \, dx","Integrate[(E^(-(E^x*x) + (-361*x^2 + 16*E^(E^x*x)*x^2)/(8*E^(E^x*x)*x))*(-361*x + 16*E^(E^x*x)*x + E^x*(361*x^2 + 361*x^3)))/(8*x),x]","e^{2 x-\frac{361}{8} e^{-e^x x} x}","e^{2 x-\frac{361}{8} e^{-e^x x} x}",1,"E^(2*x - (361*x)/(8*E^(E^x*x)))","A",1
5452,1,15,17,0.0234271,"\int \frac{1}{4} e^x \left(-2 x+47 x^2+16 x^3\right) \, dx","Integrate[(E^x*(-2*x + 47*x^2 + 16*x^3))/4,x]","\frac{1}{4} e^x x^2 (16 x-1)","\frac{1}{4} e^x x \left(16 x^2-x\right)",1,"(E^x*x^2*(-1 + 16*x))/4","A",1
5453,1,20,20,0.7949173,"\int \frac{-4 x-4 x^2+8 x^3 \log (x)+\left(8 x^2-4 x^3\right) \log ^2(x)-4 x^2 \log ^3(x)+\left(8 x^2+8 x \log (x)\right) \log (x+\log (x))}{x^3 \log ^4(x)+x^2 \log ^5(x)+\left(-2 x^2 \log ^2(x)-2 x \log ^3(x)\right) \log (x+\log (x))+(x+\log (x)) \log ^2(x+\log (x))} \, dx","Integrate[(-4*x - 4*x^2 + 8*x^3*Log[x] + (8*x^2 - 4*x^3)*Log[x]^2 - 4*x^2*Log[x]^3 + (8*x^2 + 8*x*Log[x])*Log[x + Log[x]])/(x^3*Log[x]^4 + x^2*Log[x]^5 + (-2*x^2*Log[x]^2 - 2*x*Log[x]^3)*Log[x + Log[x]] + (x + Log[x])*Log[x + Log[x]]^2),x]","\frac{4 x^2}{\log (x+\log (x))-x \log ^2(x)}","\frac{4 x^2}{\log (x+\log (x))-x \log ^2(x)}",1,"(4*x^2)/(-(x*Log[x]^2) + Log[x + Log[x]])","A",1
5454,1,48,27,0.2949113,"\int \frac{-6144 x+3840 x^3-80 x^4-600 x^5+15 x^6+\left(768 x^3-240 x^5+3 x^6\right) \log (3)-24 x^5 \log ^2(3)+e^x \left(-2048 x-1024 x^2+1280 x^3+640 x^4-200 x^5-100 x^6+\left(256 x^3+128 x^4-80 x^5-40 x^6\right) \log (3)+\left(-8 x^5-4 x^6\right) \log ^2(3)\right)}{1024-640 x^2+100 x^4+\left(-128 x^2+40 x^4\right) \log (3)+4 x^4 \log ^2(3)} \, dx","Integrate[(-6144*x + 3840*x^3 - 80*x^4 - 600*x^5 + 15*x^6 + (768*x^3 - 240*x^5 + 3*x^6)*Log[3] - 24*x^5*Log[3]^2 + E^x*(-2048*x - 1024*x^2 + 1280*x^3 + 640*x^4 - 200*x^5 - 100*x^6 + (256*x^3 + 128*x^4 - 80*x^5 - 40*x^6)*Log[3] + (-8*x^5 - 4*x^6)*Log[3]^2))/(1024 - 640*x^2 + 100*x^4 + (-128*x^2 + 40*x^4)*Log[3] + 4*x^4*Log[3]^2),x]","\frac{x^2 \left(x^3-12 x^2 (5+\log (3))-4 e^x \left(x^2 (5+\log (3))-16\right)+192\right)}{4 \left(x^2 (5+\log (3))-16\right)}","x^2 \left(\frac{x}{4 \left(-\frac{16}{x^2}+5+\log (3)\right)}-e^x-3\right)",1,"(x^2*(192 + x^3 - 12*x^2*(5 + Log[3]) - 4*E^x*(-16 + x^2*(5 + Log[3]))))/(4*(-16 + x^2*(5 + Log[3])))","A",1
5455,1,22,24,0.0259209,"\int \frac{e^{4+x} (6-6 x)+2 e^{2 x} x^2+e^4 \left(3 x^2+2 x^3\right)}{e^4 x^2} \, dx","Integrate[(E^(4 + x)*(6 - 6*x) + 2*E^(2*x)*x^2 + E^4*(3*x^2 + 2*x^3))/(E^4*x^2),x]","x^2+3 x+e^{2 x-4}-\frac{6 e^x}{x}","(-x-1)^2+e^{2 x-4}+x-\frac{6 e^x}{x}",1,"E^(-4 + 2*x) - (6*E^x)/x + 3*x + x^2","A",1
5456,1,16,21,0.0727772,"\int e^{10 x+2 x^2+10 x^4+2 x^5} \left(10+4 x+40 x^3+10 x^4\right) \, dx","Integrate[E^(10*x + 2*x^2 + 10*x^4 + 2*x^5)*(10 + 4*x + 40*x^3 + 10*x^4),x]","e^{2 x \left(x^4+5 x^3+x+5\right)}","e^{2 (x+5) \left(x^4+x\right)}-\frac{4 \log ^2(3)}{5}",1,"E^(2*x*(5 + x + 5*x^3 + x^4))","A",1
5457,1,21,28,0.0222274,"\int \frac{5+x+2 \log (4)+2 \log \left(\frac{1}{4} (5+x+2 \log (4))\right)}{5+x+2 \log (4)} \, dx","Integrate[(5 + x + 2*Log[4] + 2*Log[(5 + x + 2*Log[4])/4])/(5 + x + 2*Log[4]),x]","x+\frac{1}{4} (2 \log (x+5+\log (16))-\log (16))^2","x+\log ^2\left(\frac{1-x}{4}+x+\frac{1}{2} (\log (4)-x)+1\right)-4",1,"x + (-Log[16] + 2*Log[5 + x + Log[16]])^2/4","A",1
5458,1,31,33,0.1602039,"\int \frac{e^{-1/x} \left(-2 x-x^3-2 x^4+(1-x) (i \pi +\log (-2+2 e))\right)}{x^3} \, dx","Integrate[(-2*x - x^3 - 2*x^4 + (1 - x)*(I*Pi + Log[-2 + 2*E]))/(E^x^(-1)*x^3),x]","\frac{e^{-1/x} \left(-x^3-2 x+i \pi +\log (2 (e-1))\right)}{x}","\frac{e^{-1/x} \left(-x \left(x^2+2\right)+i \pi +\log (-2 (1-e))\right)}{x}",1,"(I*Pi - 2*x - x^3 + Log[2*(-1 + E)])/(E^x^(-1)*x)","A",1
5459,1,31,22,0.0551141,"\int \frac{-8+2 x^2+\frac{e^x \left(4 x^3+2 x^4\right)}{x}+\frac{e^{2 x} \left(2 x^4+2 x^5\right)}{x^2}-2 \log \left(\frac{x}{3}\right)}{x} \, dx","Integrate[(-8 + 2*x^2 + (E^x*(4*x^3 + 2*x^4))/x + (E^(2*x)*(2*x^4 + 2*x^5))/x^2 - 2*Log[x/3])/x,x]","\left(e^x+1\right)^2 x^2-\log ^2\left(\frac{x}{3}\right)-8 \log \left(\frac{x}{3}\right)-16","\left(e^x x+x\right)^2-\left(\log \left(\frac{x}{3}\right)+4\right)^2",1,"-16 + (1 + E^x)^2*x^2 - 8*Log[x/3] - Log[x/3]^2","A",1
5460,1,18,18,0.0916952,"\int \frac{-3-3 x+2 x^2+x^3-3 x \log (x)}{3 x-x^3+3 x \log (x)} \, dx","Integrate[(-3 - 3*x + 2*x^2 + x^3 - 3*x*Log[x])/(3*x - x^3 + 3*x*Log[x]),x]","-\log \left(-x^2+3 \log (x)+3\right)-x","-\log \left(-x^2+3 \log (x)+3\right)-x",1,"-x - Log[3 - x^2 + 3*Log[x]]","A",1
5461,1,19,21,0.017111,"\int \frac{e^{2 x^2} \left(16-72 x-16 x^2+48 x^3\right)}{-x^5+9 x^6-27 x^7+27 x^8} \, dx","Integrate[(E^(2*x^2)*(16 - 72*x - 16*x^2 + 48*x^3))/(-x^5 + 9*x^6 - 27*x^7 + 27*x^8),x]","\frac{4 e^{2 x^2}}{(1-3 x)^2 x^4}","\frac{4 e^{2 x^2}}{x^2 \left(x-3 x^2\right)^2}",1,"(4*E^(2*x^2))/((1 - 3*x)^2*x^4)","A",1
5462,1,9,13,0.0025751,"\int -12 e^{34-6 x^2} x \, dx","Integrate[-12*E^(34 - 6*x^2)*x,x]","e^{34-6 x^2}","e^{6 \left(5-x^2\right)+4}",1,"E^(34 - 6*x^2)","A",1
5463,1,9,13,0.0076483,"\int \frac{65 e^{-\frac{1}{-1+65 x}}}{1-130 x+4225 x^2} \, dx","Integrate[65/(E^(-1 + 65*x)^(-1)*(1 - 130*x + 4225*x^2)),x]","e^{\frac{1}{1-65 x}}","e^{\frac{x}{x-65 x^2}}",1,"E^(1 - 65*x)^(-1)","A",1
5464,1,18,18,0.020168,"\int \frac{300-6 x^3-300 x^4}{\left(25 x+5 x^3+x^4+25 x^5\right) \log ^3\left(\frac{25+5 x^2+x^3+25 x^4}{x^2}\right)} \, dx","Integrate[(300 - 6*x^3 - 300*x^4)/((25*x + 5*x^3 + x^4 + 25*x^5)*Log[(25 + 5*x^2 + x^3 + 25*x^4)/x^2]^3),x]","\frac{3}{\log ^2\left(25 x^2+\frac{25}{x^2}+x+5\right)}","\frac{3}{\log ^2\left(25 x^2+\frac{25}{x^2}+x+5\right)}",1,"3/Log[5 + 25/x^2 + x + 25*x^2]^2","A",1
5465,1,22,28,0.0952309,"\int \frac{-300 x^2+e^{\frac{2 (1+x)}{x}} \left(1-3 x-3 x^2\right)+e^{\frac{1+x}{x}} \left(-10+30 x+60 x^2\right)}{-25 x^2+225 x^3-675 x^4+675 x^5} \, dx","Integrate[(-300*x^2 + E^((2*(1 + x))/x)*(1 - 3*x - 3*x^2) + E^((1 + x)/x)*(-10 + 30*x + 60*x^2))/(-25*x^2 + 225*x^3 - 675*x^4 + 675*x^5),x]","\frac{\left(e^{\frac{1}{x}+1}-10\right)^2}{50 (1-3 x)^2}","\frac{\left(\frac{1}{5} e^{\frac{x+1}{x}}-2\right)^2}{2 (1-3 x)^2}",1,"(-10 + E^(1 + x^(-1)))^2/(50*(1 - 3*x)^2)","A",1
5466,1,29,29,1.0145223,"\int \frac{e^{\frac{4 x+20 x^2-4 x^3}{3+4 x^3}} \left(-18 x-12 x^2-120 x^3-12 x^4+32 x^5+80 x^6-32 x^7\right)}{9+24 x^3+16 x^6} \, dx","Integrate[(E^((4*x + 20*x^2 - 4*x^3)/(3 + 4*x^3))*(-18*x - 12*x^2 - 120*x^3 - 12*x^4 + 32*x^5 + 80*x^6 - 32*x^7))/(9 + 24*x^3 + 16*x^6),x]","-e^{\frac{20 x^2+4 x+3}{4 x^3+3}-1} x^2","8-e^{\frac{-x+\frac{1}{x}+5}{\frac{3}{4 x^2}+x}} x^2",1,"-(E^(-1 + (3 + 4*x + 20*x^2)/(3 + 4*x^3))*x^2)","A",1
5467,1,31,32,0.0674113,"\int \frac{-x^2+e^6 \left(9+16 x-x^2\right)+\left(x^2+e^6 \left(-3-8 x+x^2\right)\right) \log \left(-\frac{2 e^6 x^3}{x^2+e^6 \left(-3-8 x+x^2\right)}\right)}{\left(x^2+e^6 \left(-3-8 x+x^2\right)\right) \log ^2\left(-\frac{2 e^6 x^3}{x^2+e^6 \left(-3-8 x+x^2\right)}\right)} \, dx","Integrate[(-x^2 + E^6*(9 + 16*x - x^2) + (x^2 + E^6*(-3 - 8*x + x^2))*Log[(-2*E^6*x^3)/(x^2 + E^6*(-3 - 8*x + x^2))])/((x^2 + E^6*(-3 - 8*x + x^2))*Log[(-2*E^6*x^3)/(x^2 + E^6*(-3 - 8*x + x^2))]^2),x]","\frac{x}{\log \left(-\frac{2 e^6 x^3}{x^2+e^6 \left(x^2-8 x-3\right)}\right)}","\frac{x}{\log \left(\frac{x^2}{\frac{3-x \left(\frac{x}{e^6}+x\right)}{2 x}+4}\right)}",1,"x/Log[(-2*E^6*x^3)/(x^2 + E^6*(-3 - 8*x + x^2))]","A",1
5468,1,22,24,0.3742405,"\int \frac{\exp \left(\frac{e^{\frac{5+e^x x+x^2+x^3}{e^x+x+x^2}}}{x}+\frac{5+e^x x+x^2+x^3}{e^x+x+x^2}\right) \left(e^{2 x} (-1+x)-5 x-11 x^2-x^3+x^4+x^5+e^x \left(-7 x+2 x^3\right)\right)}{e^{2 x} x^2+x^4+2 x^5+x^6+e^x \left(2 x^3+2 x^4\right)} \, dx","Integrate[(E^(E^((5 + E^x*x + x^2 + x^3)/(E^x + x + x^2))/x + (5 + E^x*x + x^2 + x^3)/(E^x + x + x^2))*(E^(2*x)*(-1 + x) - 5*x - 11*x^2 - x^3 + x^4 + x^5 + E^x*(-7*x + 2*x^3)))/(E^(2*x)*x^2 + x^4 + 2*x^5 + x^6 + E^x*(2*x^3 + 2*x^4)),x]","e^{\frac{e^{\frac{5}{x^2+x+e^x}+x}}{x}}","e^{\frac{e^{\frac{5}{x^2+x+e^x}+x}}{x}}-6",1,"E^(E^(x + 5/(E^x + x + x^2))/x)","A",1
5469,1,29,22,0.0086118,"\int \frac{-10 x^2-10 \log \left(e^{-2-x} (1+x) \log (4)\right)}{x^2} \, dx","Integrate[(-10*x^2 - 10*Log[E^(-2 - x)*(1 + x)*Log[4]])/x^2,x]","-10 x+10 \log (x+1)+\frac{10 \log \left(e^{-x-2} (x+1) \log (4)\right)}{x}","\frac{10 (x+1) \log \left(e^{-x-2} (x+1) \log (4)\right)}{x}",1,"-10*x + 10*Log[1 + x] + (10*Log[E^(-2 - x)*(1 + x)*Log[4]])/x","A",1
5470,1,30,21,0.1352214,"\int \frac{(-1+2 x) \log (2)+e^{x^2+2 x \log (\log (4))+\log ^2(\log (4))} \left(-2 x^2 \log (2)-2 x \log (2) \log (\log (4))\right)}{x+e^{2 x^2+4 x \log (\log (4))+2 \log ^2(\log (4))} x+4 x^2+4 x^3+\left(-2 x-4 x^2\right) \log (x)+x \log ^2(x)+e^{x^2+2 x \log (\log (4))+\log ^2(\log (4))} \left(-2 x-4 x^2+2 x \log (x)\right)} \, dx","Integrate[((-1 + 2*x)*Log[2] + E^(x^2 + 2*x*Log[Log[4]] + Log[Log[4]]^2)*(-2*x^2*Log[2] - 2*x*Log[2]*Log[Log[4]]))/(x + E^(2*x^2 + 4*x*Log[Log[4]] + 2*Log[Log[4]]^2)*x + 4*x^2 + 4*x^3 + (-2*x - 4*x^2)*Log[x] + x*Log[x]^2 + E^(x^2 + 2*x*Log[Log[4]] + Log[Log[4]]^2)*(-2*x - 4*x^2 + 2*x*Log[x])),x]","\frac{\log (2)}{e^{x^2+\log ^2(\log (4))} \log ^{2 x}(4)-2 x+\log (x)-1}","\frac{\log (2)}{-2 x+e^{(x+\log (\log (4)))^2}+\log (x)-1}",1,"Log[2]/(-1 - 2*x + E^(x^2 + Log[Log[4]]^2)*Log[4]^(2*x) + Log[x])","A",1
5471,1,19,21,0.017229,"\int \frac{e^{20-19 x} \left(-132+(4864-2508 x) \log \left(\frac{1}{32} (64-33 x)\right)\right)}{(-64+33 x) \log ^2\left(\frac{1}{32} (64-33 x)\right)} \, dx","Integrate[(E^(20 - 19*x)*(-132 + (4864 - 2508*x)*Log[(64 - 33*x)/32]))/((-64 + 33*x)*Log[(64 - 33*x)/32]^2),x]","\frac{4 e^{20-19 x}}{\log \left(2-\frac{33 x}{32}\right)}","\frac{4 e^{x-20 (x-1)}}{\log \left(2-\frac{33 x}{32}\right)}",1,"(4*E^(20 - 19*x))/Log[2 - (33*x)/32]","A",1
5472,1,25,26,0.069489,"\int \frac{16 x^2-8 x^3+x^4+e^{4/x} \left(-64+32 x-4 x^2\right)+\left(16 x^5-4 x^6\right) \log \left(x^2\right)+\left(16 x^5-3 x^6\right) \log ^2\left(x^2\right)}{16 x^2-8 x^3+x^4} \, dx","Integrate[(16*x^2 - 8*x^3 + x^4 + E^(4/x)*(-64 + 32*x - 4*x^2) + (16*x^5 - 4*x^6)*Log[x^2] + (16*x^5 - 3*x^6)*Log[x^2]^2)/(16*x^2 - 8*x^3 + x^4),x]","-\frac{x^4 \log ^2\left(x^2\right)}{x-4}+x+e^{4/x}","\frac{x^4 \log ^2\left(x^2\right)}{4-x}+x+e^{4/x}",1,"E^(4/x) + x - (x^4*Log[x^2]^2)/(-4 + x)","A",1
5473,1,38,26,0.1696141,"\int \frac{-96 x^6+32 e^x x^6+e^{2 x^2} \left(30-24 x^2+e^x \left(-10-2 x+8 x^2\right)\right)+e^{x^2} \left(-96 x^3+96 x^5+e^x \left(32 x^3+8 x^4-32 x^5\right)\right)+\left(-144 x^6+48 e^x x^6+e^{2 x^2} \left(15-12 x^2+e^x \left(-5+4 x^2\right)\right)+e^{x^2} \left(-96 x^3+96 x^5+e^x \left(32 x^3+4 x^4-32 x^5\right)\right)\right) \log \left(-3+e^x\right)+\left(-72 x^6+24 e^x x^6+e^{x^2} \left(-24 x^3+24 x^5+e^x \left(8 x^3-8 x^5\right)\right)\right) \log ^2\left(-3+e^x\right)+\left(-12 x^6+4 e^x x^6\right) \log ^3\left(-3+e^x\right)}{-24 x^6+8 e^x x^6+\left(-36 x^6+12 e^x x^6\right) \log \left(-3+e^x\right)+\left(-18 x^6+6 e^x x^6\right) \log ^2\left(-3+e^x\right)+\left(-3 x^6+e^x x^6\right) \log ^3\left(-3+e^x\right)} \, dx","Integrate[(-96*x^6 + 32*E^x*x^6 + E^(2*x^2)*(30 - 24*x^2 + E^x*(-10 - 2*x + 8*x^2)) + E^x^2*(-96*x^3 + 96*x^5 + E^x*(32*x^3 + 8*x^4 - 32*x^5)) + (-144*x^6 + 48*E^x*x^6 + E^(2*x^2)*(15 - 12*x^2 + E^x*(-5 + 4*x^2)) + E^x^2*(-96*x^3 + 96*x^5 + E^x*(32*x^3 + 4*x^4 - 32*x^5)))*Log[-3 + E^x] + (-72*x^6 + 24*E^x*x^6 + E^x^2*(-24*x^3 + 24*x^5 + E^x*(8*x^3 - 8*x^5)))*Log[-3 + E^x]^2 + (-12*x^6 + 4*E^x*x^6)*Log[-3 + E^x]^3)/(-24*x^6 + 8*E^x*x^6 + (-36*x^6 + 12*E^x*x^6)*Log[-3 + E^x] + (-18*x^6 + 6*E^x*x^6)*Log[-3 + E^x]^2 + (-3*x^6 + E^x*x^6)*Log[-3 + E^x]^3),x]","\frac{\left(-4 x^3-2 x^3 \log \left(e^x-3\right)+e^{x^2}\right)^2}{x^5 \left(\log \left(e^x-3\right)+2\right)^2}","x \left(2-\frac{e^{x^2}}{x^3 \left(\log \left(e^x-3\right)+2\right)}\right)^2",1,"(E^x^2 - 4*x^3 - 2*x^3*Log[-3 + E^x])^2/(x^5*(2 + Log[-3 + E^x])^2)","A",1
5474,1,19,19,0.6559488,"\int \frac{e^{-3+\left(-e^x-x+2 \log (5)\right) \log ^2(x)} \left(\left(-2 e^x-2 x+4 \log (5)\right) \log (x)+\left(-x-e^x x\right) \log ^2(x)\right)}{x} \, dx","Integrate[(E^(-3 + (-E^x - x + 2*Log[5])*Log[x]^2)*((-2*E^x - 2*x + 4*Log[5])*Log[x] + (-x - E^x*x)*Log[x]^2))/x,x]","e^{-\left(\left(x+e^x-2 \log (5)\right) \log ^2(x)\right)-3}","e^{-\left(\left(x+e^x-2 \log (5)\right) \log ^2(x)\right)-3}",1,"E^(-3 - (E^x + x - 2*Log[5])*Log[x]^2)","A",1
5475,1,11,13,0.7541888,"\int \frac{2 x^2+\left(-20-5 x^2\right) \log \left(4+x^2\right) \log \left(\log \left(4+x^2\right)\right)}{\left(4 x^6+x^8\right) \log \left(4+x^2\right)} \, dx","Integrate[(2*x^2 + (-20 - 5*x^2)*Log[4 + x^2]*Log[Log[4 + x^2]])/((4*x^6 + x^8)*Log[4 + x^2]),x]","\frac{\log \left(\log \left(x^2+4\right)\right)}{x^5}","\frac{\log \left(\log \left(x^2+4\right)\right)}{x^5}-2",1,"Log[Log[4 + x^2]]/x^5","A",1
5476,1,16,30,0.0059246,"\int \frac{36+27 x^2+3 x^4}{80+40 x^2+5 x^4} \, dx","Integrate[(36 + 27*x^2 + 3*x^4)/(80 + 40*x^2 + 5*x^4),x]","\frac{3}{5} \left(x-\frac{x}{x^2+4}\right)","\frac{3 \left(\left(\frac{x^2-x}{x}+1\right)^2+3\right)}{5 \left(x+\frac{4}{x}\right)}",1,"(3*(x - x/(4 + x^2)))/5","A",1
5477,1,27,27,0.1377499,"\int \frac{-10+e^{e^5+3 x} \left(e^4 \left(-2-6 x+3 x^2\right)+e^2 \left(-4-12 x+6 x^2\right) \log (5)+\left(-2-6 x+3 x^2\right) \log ^2(5)\right)}{4-4 x+x^2} \, dx","Integrate[(-10 + E^(E^5 + 3*x)*(E^4*(-2 - 6*x + 3*x^2) + E^2*(-4 - 12*x + 6*x^2)*Log[5] + (-2 - 6*x + 3*x^2)*Log[5]^2))/(4 - 4*x + x^2),x]","\frac{e^{3 x+e^5} x \left(e^2+\log (5)\right)^2+10}{x-2}","\frac{x \left(e^{3 x+e^5} \left(e^2+\log (5)\right)^2+5\right)}{x-2}",1,"(10 + E^(E^5 + 3*x)*x*(E^2 + Log[5])^2)/(-2 + x)","A",1
5478,1,16,16,0.0419964,"\int \frac{2-2 x+x^8+\left(2 x-x^8\right) \log (x)}{-2 x+2 x \log (x)} \, dx","Integrate[(2 - 2*x + x^8 + (2*x - x^8)*Log[x])/(-2*x + 2*x*Log[x]),x]","-\frac{x^8}{16}+x+\log (1-\log (x))","-\frac{x^8}{16}+x+\log (1-\log (x))",1,"x - x^8/16 + Log[1 - Log[x]]","A",1
5479,1,47,28,0.1174093,"\int \frac{e^{e^x} \left(e^x (-1-x)+e^{2 x} x\right)+e^x \left(-x^2+x^3\right)+16 e^x \log ^3(x)+e^x (-4-4 x) \log ^4(x)}{8 e^{2 e^x}+e^x x^3+8 x^4+\left(-4 e^x x-64 x^2\right) \log ^4(x)+128 \log ^8(x)+e^{e^x} \left(-e^x x-16 x^2+64 \log ^4(x)\right)} \, dx","Integrate[(E^E^x*(E^x*(-1 - x) + E^(2*x)*x) + E^x*(-x^2 + x^3) + 16*E^x*Log[x]^3 + E^x*(-4 - 4*x)*Log[x]^4)/(8*E^(2*E^x) + E^x*x^3 + 8*x^4 + (-4*E^x*x - 64*x^2)*Log[x]^4 + 128*Log[x]^8 + E^E^x*(-(E^x*x) - 16*x^2 + 64*Log[x]^4)),x]","\log \left(-8 x^2+8 e^{e^x}-e^x x+32 \log ^4(x)\right)-\log \left(-x^2+e^{e^x}+4 \log ^4(x)\right)","\log \left(8-\frac{e^x x}{-x^2+e^{e^x}+4 \log ^4(x)}\right)",1,"-Log[E^E^x - x^2 + 4*Log[x]^4] + Log[8*E^E^x - E^x*x - 8*x^2 + 32*Log[x]^4]","A",1
5480,1,21,23,0.0679387,"\int \frac{25-405 x+40 x^2+e^x \left(-x+7 x^2+8 x^3\right)}{-x+8 x^2} \, dx","Integrate[(25 - 405*x + 40*x^2 + E^x*(-x + 7*x^2 + 8*x^3))/(-x + 8*x^2),x]","e^x x+5 x-25 \log (1-8 x)-25 \log (x)","5 \left(-5 \log \left(16 x^2-2 x\right)+x+8\right)+e^x x",1,"5*x + E^x*x - 25*Log[1 - 8*x] - 25*Log[x]","A",1
5481,1,23,30,0.5784891,"\int \frac{5 x^3+e^{e^{\frac{-25+5 x-5 x^2}{x}}} \left(-x+e^{\frac{-25+5 x-5 x^2}{x}} \left(25-5 x^2\right)\right)}{5 x^3} \, dx","Integrate[(5*x^3 + E^E^((-25 + 5*x - 5*x^2)/x)*(-x + E^((-25 + 5*x - 5*x^2)/x)*(25 - 5*x^2)))/(5*x^3),x]","x+\frac{e^{e^{-5 x-\frac{25}{x}+5}}}{5 x}","\frac{\frac{1}{5} e^{e^{\frac{5 \left(-x^2+x-5\right)}{x}}}+x}{x}+x+4",1,"E^E^(5 - 25/x - 5*x)/(5*x) + x","A",1
5482,1,70,33,0.1857649,"\int \frac{\left(-800 x^5+2000 x^6+\left(800 x^4-3200 x^5\right) \log (x)+1200 x^4 \log ^2(x)\right) \log ^2(\log (16))+\left(-12800 x^3+38400 x^4-25600 x^3 \log (x)\right) \log ^3(\log (16))+\left(e^x (256-256 x)+102400 x^2\right) \log ^4(\log (16))}{625 x^{12}-2500 x^{11} \log (x)+3750 x^{10} \log ^2(x)-2500 x^9 \log ^3(x)+625 x^8 \log ^4(x)+\left(40000 x^{10}-120000 x^9 \log (x)+120000 x^8 \log ^2(x)-40000 x^7 \log ^3(x)\right) \log (\log (16))+\left(-800 e^x x^6+960000 x^8+\left(1600 e^x x^5-1920000 x^7\right) \log (x)+\left(-800 e^x x^4+960000 x^6\right) \log ^2(x)\right) \log ^2(\log (16))+\left(-25600 e^x x^4+10240000 x^6+\left(25600 e^x x^3-10240000 x^5\right) \log (x)\right) \log ^3(\log (16))+\left(256 e^{2 x}-204800 e^x x^2+40960000 x^4\right) \log ^4(\log (16))} \, dx","Integrate[((-800*x^5 + 2000*x^6 + (800*x^4 - 3200*x^5)*Log[x] + 1200*x^4*Log[x]^2)*Log[Log[16]]^2 + (-12800*x^3 + 38400*x^4 - 25600*x^3*Log[x])*Log[Log[16]]^3 + (E^x*(256 - 256*x) + 102400*x^2)*Log[Log[16]]^4)/(625*x^12 - 2500*x^11*Log[x] + 3750*x^10*Log[x]^2 - 2500*x^9*Log[x]^3 + 625*x^8*Log[x]^4 + (40000*x^10 - 120000*x^9*Log[x] + 120000*x^8*Log[x]^2 - 40000*x^7*Log[x]^3)*Log[Log[16]] + (-800*E^x*x^6 + 960000*x^8 + (1600*E^x*x^5 - 1920000*x^7)*Log[x] + (-800*E^x*x^4 + 960000*x^6)*Log[x]^2)*Log[Log[16]]^2 + (-25600*E^x*x^4 + 10240000*x^6 + (25600*E^x*x^3 - 10240000*x^5)*Log[x])*Log[Log[16]]^3 + (256*E^(2*x) - 204800*E^x*x^2 + 40960000*x^4)*Log[Log[16]]^4),x]","-\frac{16 x \log ^2(\log (16))}{25 x^6-50 x^5 \log (x)+25 x^4 \log ^2(x)+800 x^4 \log (\log (16))-800 x^3 \log (\log (16)) \log (x)+6400 x^2 \log ^2(\log (16))-16 e^x \log ^2(\log (16))}","\frac{x}{e^x-25 x^2 \left(\frac{x (\log (x)-x)}{4 \log (\log (16))}-4\right)^2}",1,"(-16*x*Log[Log[16]]^2)/(25*x^6 - 50*x^5*Log[x] + 25*x^4*Log[x]^2 + 800*x^4*Log[Log[16]] - 800*x^3*Log[x]*Log[Log[16]] - 16*E^x*Log[Log[16]]^2 + 6400*x^2*Log[Log[16]]^2)","B",1
5483,1,20,23,1.1917495,"\int \frac{\exp \left(-x+\frac{e^{-x} \left(-x+e^x \left(15 x-3 x^2\right) \log (x)\right)}{\log (x)}\right) \left(1+(-1+x) \log (x)+e^x (15-6 x) \log ^2(x)\right)}{\log ^2(x)} \, dx","Integrate[(E^(-x + (-x + E^x*(15*x - 3*x^2)*Log[x])/(E^x*Log[x]))*(1 + (-1 + x)*Log[x] + E^x*(15 - 6*x)*Log[x]^2))/Log[x]^2,x]","e^{x \left(-3 x-\frac{e^{-x}}{\log (x)}+15\right)}","e^{x \left(3 (5-x)-\frac{e^{-x}}{\log (x)}\right)}",1,"E^(x*(15 - 3*x - 1/(E^x*Log[x])))","A",1
5484,1,25,25,0.1965191,"\int \frac{e^{2 x} \left(-6 x^2+3 x^3\right)+e^x \left(2 x-4 x^2+2 x^3+\left(-24 x^2+12 x^3\right) \log (9)\right)+\left(e^x \left(-2+4 x-2 x^2\right)+\left(-8+16 x-8 x^2\right) \log (9)\right) \log \left(e^x+4 \log (9)\right)}{e^x \left(x^2-2 x^3+x^4\right)+\left(4 x^2-8 x^3+4 x^4\right) \log (9)} \, dx","Integrate[(E^(2*x)*(-6*x^2 + 3*x^3) + E^x*(2*x - 4*x^2 + 2*x^3 + (-24*x^2 + 12*x^3)*Log[9]) + (E^x*(-2 + 4*x - 2*x^2) + (-8 + 16*x - 8*x^2)*Log[9])*Log[E^x + 4*Log[9]])/(E^x*(x^2 - 2*x^3 + x^4) + (4*x^2 - 8*x^3 + 4*x^4)*Log[9]),x]","\frac{3 e^x}{x-1}+\frac{2 \log \left(e^x+4 \log (9)\right)}{x}","\frac{3 e^x}{x-1}+\frac{2 \log \left(e^x+4 \log (9)\right)}{x}",1,"(3*E^x)/(-1 + x) + (2*Log[E^x + 4*Log[9]])/x","A",1
5485,1,18,22,0.0049117,"\int \frac{1}{2} \left(2+e^{x/2}+2 e^4 \log \left(\frac{9}{4}\right)\right) \, dx","Integrate[(2 + E^(x/2) + 2*E^4*Log[9/4])/2,x]","x+e^{x/2}+e^4 x \log \left(\frac{9}{4}\right)","x+e^{x/2}+e^4 \left(x \log \left(\frac{9}{4}\right)+2\right)+4",1,"E^(x/2) + x + E^4*x*Log[9/4]","A",1
5486,1,21,24,0.0043996,"\int \frac{72+e^{2+x}+54 x}{3 e^2} \, dx","Integrate[(72 + E^(2 + x) + 54*x)/(3*E^2),x]","\frac{27 x^2+72 x+e^{x+2}}{3 e^2}","\frac{(3 x+4)^2}{e^2}+\frac{e^x}{3}-2-\log (5)",1,"(E^(2 + x) + 72*x + 27*x^2)/(3*E^2)","A",1
5487,1,21,26,0.1882411,"\int \frac{-2+x+2 e^x x+x^2}{-1-3 x-x^2+e^x x^2} \, dx","Integrate[(-2 + x + 2*E^x*x + x^2)/(-1 - 3*x - x^2 + E^x*x^2),x]","\log \left(-e^x x^2+x^2+3 x+1\right)-x","\log \left(25 e \left(e^x x^2-x-(x+1)^2\right)\right)-x",1,"-x + Log[1 + 3*x + x^2 - E^x*x^2]","A",1
5488,1,20,20,0.0186472,"\int \frac{\frac{e^5}{x}+16 e^{32 e^6+16 x} x}{x} \, dx","Integrate[(E^5/x + 16*E^(32*E^6 + 16*x)*x)/x,x]","e^{16 x+32 e^6}-\frac{e^5}{x}","e^{16 x+32 e^6}-\frac{e^5}{x}",1,"E^(32*E^6 + 16*x) - E^5/x","A",1
5489,1,11,14,0.0030807,"\int \frac{5+10 x}{1+x+x^2+\log (3)} \, dx","Integrate[(5 + 10*x)/(1 + x + x^2 + Log[3]),x]","5 \log \left(x^2+x+1+\log (3)\right)","5 \log \left((x+1)^2-x+\log (3)\right)",1,"5*Log[1 + x + x^2 + Log[3]]","A",1
5490,1,6,15,0.0006925,"\int \frac{1-4 x}{x} \, dx","Integrate[(1 - 4*x)/x,x]","\log (x)-4 x","x \left(\frac{-x+\log (x)-5}{x}-3\right)",1,"-4*x + Log[x]","A",1
5491,1,18,21,0.0607822,"\int \frac{1}{3} e^{\frac{1}{3} \left(4-20 x+4 x^2\right)} \left(-77+12 x+8 x^2\right) \, dx","Integrate[(E^((4 - 20*x + 4*x^2)/3)*(-77 + 12*x + 8*x^2))/3,x]","e^{\frac{4}{3} \left(x^2-5 x+1\right)} (x+4)","e^{-4 \left(x-\frac{1}{3} (1-x)^2\right)} (x+4)",1,"E^((4*(1 - 5*x + x^2))/3)*(4 + x)","A",1
5492,1,25,25,1.7267499,"\int \frac{e^{-\frac{3 e^{-e^{x^2}+2 x}}{x}} \left(-2 x+e^{-e^{x^2}+2 x} \left(6-12 x+12 e^{x^2} x^2\right)\right)}{x^3} \, dx","Integrate[(-2*x + E^(-E^x^2 + 2*x)*(6 - 12*x + 12*E^x^2*x^2))/(E^((3*E^(-E^x^2 + 2*x))/x)*x^3),x]","\frac{2 e^{-\frac{3 e^{2 x-e^{x^2}}}{x}}}{x}","\frac{2 e^{-\frac{3 e^{2 x-e^{x^2}}}{x}}}{x}",1,"2/(E^((3*E^(-E^x^2 + 2*x))/x)*x)","A",1
5493,1,63,36,1.3206583,"\int \frac{-2 e^{6-\frac{2}{-4+e^{6-x}}} x^2+e^x \left(16 x^2+e^{12-2 x} x^2-8 e^{6-x} x^2\right)+e^{6-x} (-24-24 x) \log (3)+e^{12-2 x} (3+3 x) \log (3)+(48+48 x) \log (3)}{e^{-\frac{2}{-4+e^{6-x}}+x} \left(16 x^2+e^{12-2 x} x^2-8 e^{6-x} x^2\right)+e^x \left(16 x^3+e^{12-2 x} x^3-8 e^{6-x} x^3\right)-48 x \log (3)-3 e^{12-2 x} x \log (3)+24 e^{6-x} x \log (3)} \, dx","Integrate[(-2*E^(6 - 2/(-4 + E^(6 - x)))*x^2 + E^x*(16*x^2 + E^(12 - 2*x)*x^2 - 8*E^(6 - x)*x^2) + E^(6 - x)*(-24 - 24*x)*Log[3] + E^(12 - 2*x)*(3 + 3*x)*Log[3] + (48 + 48*x)*Log[3])/(E^(-2/(-4 + E^(6 - x)) + x)*(16*x^2 + E^(12 - 2*x)*x^2 - 8*E^(6 - x)*x^2) + E^x*(16*x^3 + E^(12 - 2*x)*x^3 - 8*E^(6 - x)*x^3) - 48*x*Log[3] - 3*E^(12 - 2*x)*x*Log[3] + 24*E^(6 - x)*x*Log[3]),x]","\log \left(e^{\frac{2}{e^{6-x}-4}} x^2+x-3 e^{\frac{2}{e^{6-x}-4}-x} \log (3)\right)-\frac{2}{e^{6-x}-4}-\log (x)","\log \left(x+e^{\frac{2}{4-e^{2 (3-x)+x}}}-\frac{3 e^{-x} \log (3)}{x}\right)",1,"-2/(-4 + E^(6 - x)) - Log[x] + Log[x + E^(2/(-4 + E^(6 - x)))*x^2 - 3*E^(2/(-4 + E^(6 - x)) - x)*Log[3]]","A",1
5494,1,23,25,0.0179044,"\int \left(-18+4 x^2-4 \log \left(\frac{10}{x}\right)+\left(-8+6 x^2-2 \log \left(\frac{10}{x}\right)\right) \log \left(x^2\right)\right) \, dx","Integrate[-18 + 4*x^2 - 4*Log[10/x] + (-8 + 6*x^2 - 2*Log[10/x])*Log[x^2],x]","2 \left(x \left(x^2-\log \left(\frac{10}{x}\right)-5\right) \log \left(x^2\right)+x\right)","2 \left(x \left(x^2-\log \left(\frac{10}{x}\right)-5\right) \log \left(x^2\right)+x\right)+20",1,"2*(x + x*(-5 + x^2 - Log[10/x])*Log[x^2])","A",1
5495,1,39,28,0.0612931,"\int \frac{32-226 x^2-64 x^3+\left(-16+65 x^2\right) \log (4)+e^x \left(-32 x^3+16 x^3 \log (4)\right)}{-2 x^2+x^2 \log (4)} \, dx","Integrate[(32 - 226*x^2 - 64*x^3 + (-16 + 65*x^2)*Log[4] + E^x*(-32*x^3 + 16*x^3*Log[4]))/(-2*x^2 + x^2*Log[4]),x]","-\frac{32 x^2}{\log (4)-2}+16 e^x (x-1)+\frac{16}{x}+\frac{x (65 \log (4)-226)}{\log (4)-2}","x-16 (x-1) \left(-e^x+\frac{1}{x}+\frac{2 (x+4)}{\log (4)-2}-4\right)",1,"16*E^x*(-1 + x) + 16/x - (32*x^2)/(-2 + Log[4]) + (x*(-226 + 65*Log[4]))/(-2 + Log[4])","A",1
5496,1,16,17,0.0106038,"\int \frac{1+3 x^2+2 e^{-2+x^2} x^3}{x^2} \, dx","Integrate[(1 + 3*x^2 + 2*E^(-2 + x^2)*x^3)/x^2,x]","e^{x^2-2}+3 x-\frac{1}{x}","e^{x^2-2}+3 x-\frac{1}{x}-5",1,"E^(-2 + x^2) - x^(-1) + 3*x","A",1
5497,1,17,17,0.0736923,"\int \frac{-7680-65280 x+3840 x \log (4 x)}{-6859 x+13718 x^2-6859 x^3+\left(1083 x-2166 x^2+1083 x^3\right) \log (4 x)+\left(-57 x+114 x^2-57 x^3\right) \log ^2(4 x)+\left(x-2 x^2+x^3\right) \log ^3(4 x)} \, dx","Integrate[(-7680 - 65280*x + 3840*x*Log[4*x])/(-6859*x + 13718*x^2 - 6859*x^3 + (1083*x - 2166*x^2 + 1083*x^3)*Log[4*x] + (-57*x + 114*x^2 - 57*x^3)*Log[4*x]^2 + (x - 2*x^2 + x^3)*Log[4*x]^3),x]","\frac{3840}{(1-x) (\log (4 x)-19)^2}","\frac{3840}{(1-x) (\log (4 x)-19)^2}",1,"3840/((1 - x)*(-19 + Log[4*x])^2)","A",1
5498,0,0,28,0.4429101,"\int \frac{5 e^{2 x}+3 x \log (2)+e^{5+x} \left(3 e^x+3 \log (2)\right)+e^x (3+5 x \log (2))+e^{5+x} \left(3 e^x+3 x \log (2)\right) \log \left(\frac{e^x+x \log (2)}{\log (2)}\right)}{5 e^{2 x}+\left(6 x+3 x^2\right) \log (2)+e^x (6+3 x+5 x \log (2))+e^{5+x} \left(3 e^x+3 x \log (2)\right) \log \left(\frac{e^x+x \log (2)}{\log (2)}\right)} \, dx","Integrate[(5*E^(2*x) + 3*x*Log[2] + E^(5 + x)*(3*E^x + 3*Log[2]) + E^x*(3 + 5*x*Log[2]) + E^(5 + x)*(3*E^x + 3*x*Log[2])*Log[(E^x + x*Log[2])/Log[2]])/(5*E^(2*x) + (6*x + 3*x^2)*Log[2] + E^x*(6 + 3*x + 5*x*Log[2]) + E^(5 + x)*(3*E^x + 3*x*Log[2])*Log[(E^x + x*Log[2])/Log[2]]),x]","\int \frac{5 e^{2 x}+3 x \log (2)+e^{5+x} \left(3 e^x+3 \log (2)\right)+e^x (3+5 x \log (2))+e^{5+x} \left(3 e^x+3 x \log (2)\right) \log \left(\frac{e^x+x \log (2)}{\log (2)}\right)}{5 e^{2 x}+\left(6 x+3 x^2\right) \log (2)+e^x (6+3 x+5 x \log (2))+e^{5+x} \left(3 e^x+3 x \log (2)\right) \log \left(\frac{e^x+x \log (2)}{\log (2)}\right)} \, dx","\log \left(x+\frac{5 e^x}{3}+e^{x+5} \log \left(x+\frac{e^x}{\log (2)}\right)+2\right)",1,"Integrate[(5*E^(2*x) + 3*x*Log[2] + E^(5 + x)*(3*E^x + 3*Log[2]) + E^x*(3 + 5*x*Log[2]) + E^(5 + x)*(3*E^x + 3*x*Log[2])*Log[(E^x + x*Log[2])/Log[2]])/(5*E^(2*x) + (6*x + 3*x^2)*Log[2] + E^x*(6 + 3*x + 5*x*Log[2]) + E^(5 + x)*(3*E^x + 3*x*Log[2])*Log[(E^x + x*Log[2])/Log[2]]), x]","F",-1
5499,1,14,17,0.038086,"\int \frac{150+e^x (12-2 x)-60 x+6 x^2}{25-10 x+x^2} \, dx","Integrate[(150 + E^x*(12 - 2*x) - 60*x + 6*x^2)/(25 - 10*x + x^2),x]","6 x-\frac{2 e^x}{x-5}","2 \left(3 x-\frac{e^x}{x-5}-2\right)",1,"(-2*E^x)/(-5 + x) + 6*x","A",1
5500,1,23,24,0.1884306,"\int \frac{e^x x+5 x \log \left(x^2\right)+e^{-e^{\log ^4\left(e^x+5 \log \left(x^2\right)\right)}+x} \left(e^x x+5 x \log \left(x^2\right)+e^{\log ^4\left(e^x+5 \log \left(x^2\right)\right)} \left(-40-4 e^x x\right) \log ^3\left(e^x+5 \log \left(x^2\right)\right)\right)}{e^x x+5 x \log \left(x^2\right)} \, dx","Integrate[(E^x*x + 5*x*Log[x^2] + E^(-E^Log[E^x + 5*Log[x^2]]^4 + x)*(E^x*x + 5*x*Log[x^2] + E^Log[E^x + 5*Log[x^2]]^4*(-40 - 4*E^x*x)*Log[E^x + 5*Log[x^2]]^3))/(E^x*x + 5*x*Log[x^2]),x]","e^{x-e^{\log ^4\left(5 \log \left(x^2\right)+e^x\right)}}+x","e^{x-e^{\log ^4\left(5 \log \left(x^2\right)+e^x\right)}}+x+4",1,"E^(-E^Log[E^x + 5*Log[x^2]]^4 + x) + x","A",1
5501,1,18,24,0.3058801,"\int \frac{4 x^3+e^{e^{x^2}} \left(2-4 e^{x^2} x^2\right)}{e^{2 e^{x^2}}-2 e^{e^{x^2}} x^3+x^6} \, dx","Integrate[(4*x^3 + E^E^x^2*(2 - 4*E^x^2*x^2))/(E^(2*E^x^2) - 2*E^E^x^2*x^3 + x^6),x]","\frac{2 x}{e^{e^{x^2}}-x^3}","2 \left(\frac{x}{e^{e^{x^2}}-x^3}+e^5+4\right)",1,"(2*x)/(E^E^x^2 - x^3)","A",1
5502,1,23,27,0.074454,"\int e^{\frac{-x+4 x^3-16 \log ^2(x)}{x}} \left(4 x+16 x^3-64 \log (x)+32 \log ^2(x)\right) \, dx","Integrate[E^((-x + 4*x^3 - 16*Log[x]^2)/x)*(4*x + 16*x^3 - 64*Log[x] + 32*Log[x]^2),x]","2 x^2 e^{4 x^2-\frac{16 \log ^2(x)}{x}-1}","2 x^2 e^{4 x^2-\frac{4 \left(x+4 \log ^2(x)\right)}{x}+3}",1,"2*E^(-1 + 4*x^2 - (16*Log[x]^2)/x)*x^2","A",1
5503,1,30,27,0.074188,"\int \frac{-36 x+13 x^2-x^3+\left(640-340 x+40 x^2\right) \log (x)+\left(320-160 x+20 x^2\right) \log \left(4 x^2\right)}{16 x-8 x^2+x^3} \, dx","Integrate[(-36*x + 13*x^2 - x^3 + (640 - 340*x + 40*x^2)*Log[x] + (320 - 160*x + 20*x^2)*Log[4*x^2])/(16*x - 8*x^2 + x^3),x]","5 \log ^2\left(4 x^2\right)-x+20 \log ^2(x)+\frac{5 x \log (x)}{x-4}","-5 \log (x) \left(\frac{x}{4-x}-4 \log \left(4 x^2\right)\right)-x+5",1,"-x + (5*x*Log[x])/(-4 + x) + 20*Log[x]^2 + 5*Log[4*x^2]^2","A",1
5504,1,49,23,0.0293775,"\int \frac{e^9 \left(-10-100 x^3\right)+e^{10} \left(-25-50 x-250 x^3-125 x^4\right)}{4 e^8 x^2+e^9 \left(20 x^2+20 x^3\right)+e^{10} \left(25 x^2+50 x^3+25 x^4\right)} \, dx","Integrate[(E^9*(-10 - 100*x^3) + E^10*(-25 - 50*x - 250*x^3 - 125*x^4))/(4*E^8*x^2 + E^9*(20*x^2 + 20*x^3) + E^10*(25*x^2 + 50*x^3 + 25*x^4)),x]","-\frac{5 e^2 \left(5 x^3+5 x^2+5 x-1\right)+10 e (x+2) x+4 x}{e x (5 e (x+1)+2)}","\frac{1-5 x^3}{x \left(x+\frac{2}{5 e}+1\right)}",1,"-((4*x + 10*E*x*(2 + x) + 5*E^2*(-1 + 5*x + 5*x^2 + 5*x^3))/(E*x*(2 + 5*E*(1 + x))))","B",1
5505,1,25,23,0.0161805,"\int e^{-\frac{4 (-3+\log (3))}{\log (2)}} \left(-e^{\frac{4 (-3+\log (3))}{\log (2)}}-4 x^3\right) \, dx","Integrate[(-E^((4*(-3 + Log[3]))/Log[2]) - 4*x^3)/E^((4*(-3 + Log[3]))/Log[2]),x]","x^4 \left(-3^{-\frac{4}{\log (2)}}\right) e^{\frac{12}{\log (2)}}-x","x^4 \left(-e^{\frac{4 (3-\log (3))}{\log (2)}}\right)-x",1,"-x - (E^(12/Log[2])*x^4)/3^(4/Log[2])","A",1
5506,1,26,26,0.9190919,"\int \frac{e^{x^2+(1-2 x) \log (x)+\log ^2(x)} \left(-48+30 x-12 x^2-36 x^3+\left(-48+12 x+36 x^2\right) \log (x)\right)}{16+24 x+9 x^2} \, dx","Integrate[(E^(x^2 + (1 - 2*x)*Log[x] + Log[x]^2)*(-48 + 30*x - 12*x^2 - 36*x^3 + (-48 + 12*x + 36*x^2)*Log[x]))/(16 + 24*x + 9*x^2),x]","-\frac{6 x^{2-2 x} e^{x^2+\log ^2(x)}}{3 x+4}","\frac{2 x^2 e^{(\log (x)-x)^2}}{-x-\frac{4}{3}}+4",1,"(-6*E^(x^2 + Log[x]^2)*x^(2 - 2*x))/(4 + 3*x)","A",1
5507,1,15,18,0.0114629,"\int \frac{-2 e^{8+2 x}+3 \log (5)}{3 \log (5)} \, dx","Integrate[(-2*E^(8 + 2*x) + 3*Log[5])/(3*Log[5]),x]","x-\frac{e^{2 x+8}}{\log (125)}","x-\frac{e^{2 (x+4)}}{3 \log (5)}-6",1,"x - E^(8 + 2*x)/Log[125]","A",1
5508,1,15,19,0.0046467,"\int \frac{3+2 x+3 x \log (4)}{4 x} \, dx","Integrate[(3 + 2*x + 3*x*Log[4])/(4*x),x]","\frac{1}{4} (x (2+\log (64))+3 \log (x))","-x+\frac{3}{4} (2 x+x \log (4)+\log (x))-1",1,"(x*(2 + Log[64]) + 3*Log[x])/4","A",1
5509,1,17,17,0.0146333,"\int -81 e^{\frac{1}{2} \left(15-27 e^{2 x}\right)+2 x} \, dx","Integrate[-81*E^((15 - 27*E^(2*x))/2 + 2*x),x]","3 e^{\frac{15}{2}-\frac{27 e^{2 x}}{2}}","3 e^{\frac{3}{2} \left(5-9 e^{2 x}\right)}",1,"3*E^(15/2 - (27*E^(2*x))/2)","A",1
5510,1,37,32,0.0760423,"\int \frac{-2 e^{4 x}-8 e^{3 x} x+8 x^2-16 x^3-2 x^4+e^{2 x} \left(4 x-32 x^2+4 e^5 x^2\right)+e^5 \left(-2 x^2+4 x^3\right)+e^x \left(-12 x^2-28 x^3+e^5 \left(4 x^2+4 x^3\right)\right)}{e^{2+4 x} x^2+4 e^{2+3 x} x^3+e^{2+2 x} \left(-2 x^3+6 x^4\right)+e^{2+x} \left(-4 x^4+4 x^5\right)+e^2 \left(x^4-2 x^5+x^6\right)} \, dx","Integrate[(-2*E^(4*x) - 8*E^(3*x)*x + 8*x^2 - 16*x^3 - 2*x^4 + E^(2*x)*(4*x - 32*x^2 + 4*E^5*x^2) + E^5*(-2*x^2 + 4*x^3) + E^x*(-12*x^2 - 28*x^3 + E^5*(4*x^2 + 4*x^3)))/(E^(2 + 4*x)*x^2 + 4*E^(2 + 3*x)*x^3 + E^(2 + 2*x)*(-2*x^3 + 6*x^4) + E^(2 + x)*(-4*x^4 + 4*x^5) + E^2*(x^4 - 2*x^5 + x^6)),x]","-\frac{2 \left(\frac{e^5-5}{x^2+2 e^x x-x+e^{2 x}}-\frac{1}{x}\right)}{e^2}","\frac{\frac{2}{x}-\frac{2 \left(5-e^5\right)}{x-\left(x+e^x\right)^2}}{e^2}",1,"(-2*(-x^(-1) + (-5 + E^5)/(E^(2*x) - x + 2*E^x*x + x^2)))/E^2","A",1
5511,1,81,31,0.2206303,"\int \frac{-10 x-20 e^{10} x+20 x^2+e^5 \left(-30 x+20 x^2\right)+\left(-4-4 e^{10}+4 x+e^5 (-8+4 x)\right) \log (3)+\left(-20 x^2-20 e^5 x^2+5 x^3+\left(-4 x-4 e^5 x+x^2\right) \log (3)\right) \log (4)+\left(-5 x^3-x^2 \log (3)\right) \log ^2(4)+\left(10 x+10 e^5 x+\left(2+2 e^5\right) \log (3)+\left(-20 x-20 e^5 x+10 x^2+\left(-4-4 e^5+2 x\right) \log (3)\right) \log (4)+\left(-10 x^2-2 x \log (3)\right) \log ^2(4)\right) \log \left(\frac{1}{5} (5 x+\log (3))\right)+\left((5 x+\log (3)) \log (4)+(-5 x-\log (3)) \log ^2(4)\right) \log ^2\left(\frac{1}{5} (5 x+\log (3))\right)}{20 x+40 e^5 x+20 e^{10} x+\left(4+8 e^5+4 e^{10}\right) \log (3)+\left(20 x^2+20 e^5 x^2+\left(4 x+4 e^5 x\right) \log (3)\right) \log (4)+\left(5 x^3+x^2 \log (3)\right) \log ^2(4)+\left(\left(20 x+20 e^5 x+\left(4+4 e^5\right) \log (3)\right) \log (4)+\left(10 x^2+2 x \log (3)\right) \log ^2(4)\right) \log \left(\frac{1}{5} (5 x+\log (3))\right)+(5 x+\log (3)) \log ^2(4) \log ^2\left(\frac{1}{5} (5 x+\log (3))\right)} \, dx","Integrate[(-10*x - 20*E^10*x + 20*x^2 + E^5*(-30*x + 20*x^2) + (-4 - 4*E^10 + 4*x + E^5*(-8 + 4*x))*Log[3] + (-20*x^2 - 20*E^5*x^2 + 5*x^3 + (-4*x - 4*E^5*x + x^2)*Log[3])*Log[4] + (-5*x^3 - x^2*Log[3])*Log[4]^2 + (10*x + 10*E^5*x + (2 + 2*E^5)*Log[3] + (-20*x - 20*E^5*x + 10*x^2 + (-4 - 4*E^5 + 2*x)*Log[3])*Log[4] + (-10*x^2 - 2*x*Log[3])*Log[4]^2)*Log[(5*x + Log[3])/5] + ((5*x + Log[3])*Log[4] + (-5*x - Log[3])*Log[4]^2)*Log[(5*x + Log[3])/5]^2)/(20*x + 40*E^5*x + 20*E^10*x + (4 + 8*E^5 + 4*E^10)*Log[3] + (20*x^2 + 20*E^5*x^2 + (4*x + 4*E^5*x)*Log[3])*Log[4] + (5*x^3 + x^2*Log[3])*Log[4]^2 + ((20*x + 20*E^5*x + (4 + 4*E^5)*Log[3])*Log[4] + (10*x^2 + 2*x*Log[3])*Log[4]^2)*Log[(5*x + Log[3])/5] + (5*x + Log[3])*Log[4]^2*Log[(5*x + Log[3])/5]^2),x]","-\frac{\frac{\left(1+e^5\right) x \left(10 x \log (4)-\log ^2(4) \log (81)+\log (1048576)+\log (4) \log (9) (1+\log (16))\right)}{(5 x+5+\log (3)) \left(x \log (4)+\log (4) \log \left(x+\frac{\log (3)}{5}\right)+2 e^5+2\right)}+x (\log (4)-1) \log (4)}{\log ^2(4)}","\frac{x}{\frac{2 \left(1+e^5\right)}{x+\log \left(x+\frac{\log (3)}{5}\right)}+\log (4)}-x",1,"-((x*(-1 + Log[4])*Log[4] + ((1 + E^5)*x*(10*x*Log[4] + Log[4]*Log[9]*(1 + Log[16]) - Log[4]^2*Log[81] + Log[1048576]))/((5 + 5*x + Log[3])*(2 + 2*E^5 + x*Log[4] + Log[4]*Log[x + Log[3]/5])))/Log[4]^2)","B",0
5512,1,17,19,0.1212723,"\int \frac{10 x+2 \log (5)}{5 x^2+x \log (5) \log \left(-\frac{x}{5}\right)} \, dx","Integrate[(10*x + 2*Log[5])/(5*x^2 + x*Log[5]*Log[-1/5*x]),x]","2 \log \left(-5 x-\log (5) \log \left(-\frac{x}{5}\right)\right)","\log \left(\left(3 x+\frac{3}{5} \log (5) \log \left(-\frac{x}{5}\right)\right)^2\right)",1,"2*Log[-5*x - Log[5]*Log[-1/5*x]]","A",1
5513,1,22,21,0.0204169,"\int \frac{-4+e^{24} \left(256-4 x^2\right)+e^{48} \left(-4096-6 x+128 x^2-x^4\right)}{4+e^{24} \left(-256+4 x^2\right)+e^{48} \left(4096-128 x^2+x^4\right)} \, dx","Integrate[(-4 + E^24*(256 - 4*x^2) + E^48*(-4096 - 6*x + 128*x^2 - x^4))/(4 + E^24*(-256 + 4*x^2) + E^48*(4096 - 128*x^2 + x^4)),x]","\frac{3 e^{24}}{e^{24} \left(x^2-64\right)+2}-x","\frac{3}{x^2+\frac{2}{e^{24}}-64}-x-\frac{2}{5}",1,"-x + (3*E^24)/(2 + E^24*(-64 + x^2))","A",1
5514,1,4,6,0.0000692,"\int -e \, dx","Integrate[-E,x]","-e x","4-e x",1,"-(E*x)","A",1
5515,1,24,28,0.298818,"\int \frac{e^{\frac{1}{10} \left(1-5 e^{\frac{-1+x^2}{x}} x\right)+\frac{-1+x^2}{x}} \left(1+x+x^2\right)}{40 x} \, dx","Integrate[(E^((1 - 5*E^((-1 + x^2)/x)*x)/10 + (-1 + x^2)/x)*(1 + x + x^2))/(40*x),x]","-\frac{1}{20} e^{\frac{1}{10}-\frac{1}{2} e^{x-\frac{1}{x}} x}","1-\frac{1}{20} e^{\frac{1}{2} \left(\frac{1}{5}-e^{x-\frac{1}{x}} x\right)}",1,"-1/20*E^(1/10 - (E^(-x^(-1) + x)*x)/2)","A",1
5516,1,114,24,4.4503721,"\int \frac{\exp \left(-3+\exp \left(\frac{-e^5 x+e^3 \left(9 x^2+9 x^3\right) \log (2)}{9 e^3 \log (2)}\right) x+\frac{-e^5 x+e^3 \left(9 x^2+9 x^3\right) \log (2)}{9 e^3 \log (2)}\right) \left(-e^5 x+e^3 \left(9+18 x^2+27 x^3\right) \log (2)\right)}{9 \log (2)} \, dx","Integrate[(E^(-3 + E^((-(E^5*x) + E^3*(9*x^2 + 9*x^3)*Log[2])/(9*E^3*Log[2]))*x + (-(E^5*x) + E^3*(9*x^2 + 9*x^3)*Log[2])/(9*E^3*Log[2]))*(-(E^5*x) + E^3*(9 + 18*x^2 + 27*x^3)*Log[2]))/(9*Log[2]),x]","\frac{\int \left(e^3 \left(27 x^3+18 x^2+9\right) \log (2)-e^5 x\right) \exp \left(x \exp \left(\frac{e^3 \left(9 x^3+9 x^2\right) \log (2)-e^5 x}{9 e^3 \log (2)}\right)+\frac{e^3 \left(9 x^3+9 x^2\right) \log (2)-e^5 x}{9 e^3 \log (2)}-3\right) \, dx}{9 \log (2)}","e^{x e^{x \left(x^2+x-\frac{e^2}{9 \log (2)}\right)}}",1,"Integrate[E^(-3 + E^((-(E^5*x) + E^3*(9*x^2 + 9*x^3)*Log[2])/(9*E^3*Log[2]))*x + (-(E^5*x) + E^3*(9*x^2 + 9*x^3)*Log[2])/(9*E^3*Log[2]))*(-(E^5*x) + E^3*(9 + 18*x^2 + 27*x^3)*Log[2]), x]/(9*Log[2])","F",1
5517,1,8,8,0.0078155,"\int \frac{-2+\log \left(x^2\right)}{\log ^2\left(x^2\right)} \, dx","Integrate[(-2 + Log[x^2])/Log[x^2]^2,x]","\frac{x}{\log \left(x^2\right)}","\frac{x}{\log \left(x^2\right)}",1,"x/Log[x^2]","A",1
5518,1,24,24,0.0076971,"\int \frac{4-6 x+5 x^2-x^3}{2 x-3 x^2+x^3} \, dx","Integrate[(4 - 6*x + 5*x^2 - x^3)/(2*x - 3*x^2 + x^3),x]","-x-2 \log (1-x)+2 \log (2-x)+2 \log (x)","\log \left(\frac{6480 (2-x)^2 x^2}{(1-x)^2}\right)-x",1,"-x - 2*Log[1 - x] + 2*Log[2 - x] + 2*Log[x]","A",1
5519,1,16,20,0.064358,"\int \left(200 x+120 x^2+16 x^3+e^{2 x} \left(-2 x+2 x^2\right)+e^x \left(-20+12 x+28 x^2+4 x^3\right)\right) \, dx","Integrate[200*x + 120*x^2 + 16*x^3 + E^(2*x)*(-2*x + 2*x^2) + E^x*(-20 + 12*x + 28*x^2 + 4*x^3),x]","\left(e^x (x-1)+2 x (x+5)\right)^2","\left(x \left(2 x+e^x+10\right)-e^x\right)^2+1",1,"(E^x*(-1 + x) + 2*x*(5 + x))^2","A",1
5520,1,182,22,0.1377844,"\int \frac{2+e \left(432+14256 x+20880 x^2+230416 x^3+185600 x^4+1216512 x^5+458752 x^6+2097152 x^7\right)+e \left(-432-14112 x-13872 x^2-150528 x^3-61440 x^4-393216 x^5\right) \log (4)+e \left(144+4656 x+2304 x^2+24576 x^3\right) \log ^2(4)+e (-16-512 x) \log ^3(4)}{x+e \left(162+216 x+3564 x^2+3480 x^3+28802 x^4+18560 x^5+101376 x^6+32768 x^7+131072 x^8\right)+e \left(-216-216 x-3528 x^2-2312 x^3-18816 x^4-6144 x^5-32768 x^6\right) \log (4)+e \left(108+72 x+1164 x^2+384 x^3+3072 x^4\right) \log ^2(4)+e \left(-24-8 x-128 x^2\right) \log ^3(4)+2 e \log ^4(4)} \, dx","Integrate[(2 + E*(432 + 14256*x + 20880*x^2 + 230416*x^3 + 185600*x^4 + 1216512*x^5 + 458752*x^6 + 2097152*x^7) + E*(-432 - 14112*x - 13872*x^2 - 150528*x^3 - 61440*x^4 - 393216*x^5)*Log[4] + E*(144 + 4656*x + 2304*x^2 + 24576*x^3)*Log[4]^2 + E*(-16 - 512*x)*Log[4]^3)/(x + E*(162 + 216*x + 3564*x^2 + 3480*x^3 + 28802*x^4 + 18560*x^5 + 101376*x^6 + 32768*x^7 + 131072*x^8) + E*(-216 - 216*x - 3528*x^2 - 2312*x^3 - 18816*x^4 - 6144*x^5 - 32768*x^6)*Log[4] + E*(108 + 72*x + 1164*x^2 + 384*x^3 + 3072*x^4)*Log[4]^2 + E*(-24 - 8*x - 128*x^2)*Log[4]^3 + 2*E*Log[4]^4),x]","2 \log \left(131072 e x^8+32768 e x^7+101376 e x^6-32768 e x^6 \log (4)+18560 e x^5-6144 e x^5 \log (4)+28802 e x^4+3072 e x^4 \log ^2(4)-18816 e x^4 \log (4)+3480 e x^3+384 e x^3 \log ^2(4)-2312 e x^3 \log (4)+3564 e x^2-128 e x^2 \log ^3(4)+1164 e x^2 \log ^2(4)-3528 e x^2 \log (4)+216 e x+x-8 e x \log ^3(4)+72 e x \log ^2(4)-216 e x \log (4)+162 e+2 e \log ^4(4)-24 e \log ^3(4)+108 e \log ^2(4)-216 e \log (4)\right)","\log \left(\left(2 e \left(16 x^2+x+3-\log (4)\right)^4+x\right)^2\right)",1,"2*Log[162*E + x + 216*E*x + 3564*E*x^2 + 3480*E*x^3 + 28802*E*x^4 + 18560*E*x^5 + 101376*E*x^6 + 32768*E*x^7 + 131072*E*x^8 - 216*E*Log[4] - 216*E*x*Log[4] - 3528*E*x^2*Log[4] - 2312*E*x^3*Log[4] - 18816*E*x^4*Log[4] - 6144*E*x^5*Log[4] - 32768*E*x^6*Log[4] + 108*E*Log[4]^2 + 72*E*x*Log[4]^2 + 1164*E*x^2*Log[4]^2 + 384*E*x^3*Log[4]^2 + 3072*E*x^4*Log[4]^2 - 24*E*Log[4]^3 - 8*E*x*Log[4]^3 - 128*E*x^2*Log[4]^3 + 2*E*Log[4]^4]","B",1
5521,1,17,24,0.0157607,"\int e^{-12+x} \left(e^{12}-e^{12-x}+8 x+4 x^2\right) \, dx","Integrate[E^(-12 + x)*(E^12 - E^(12 - x) + 8*x + 4*x^2),x]","4 e^{x-12} x^2-x+e^x","4 e^{x-12} x^2-x+e^x-\frac{e^5}{5}",1,"E^x - x + 4*E^(-12 + x)*x^2","A",1
5522,1,9,14,0.0000615,"\int (-1+12 x) \, dx","Integrate[-1 + 12*x,x]","6 x^2-x","6 x^2-x-e^{18}",1,"-x + 6*x^2","A",1
5523,1,50,28,0.2231292,"\int \frac{e^{-4 x} \left(e^{4 x} \left(-18 x^2-2 x^3\right)+e^{6 x} \left(6 x+6 x^2+2 x^3\right)+e^{2 x} \left(12 x^3-4 x^4-2 x^5\right)\right)}{675+675 x+225 x^2+25 x^3} \, dx","Integrate[(E^(4*x)*(-18*x^2 - 2*x^3) + E^(6*x)*(6*x + 6*x^2 + 2*x^3) + E^(2*x)*(12*x^3 - 4*x^4 - 2*x^5))/(E^(4*x)*(675 + 675*x + 225*x^2 + 25*x^3)),x]","-\frac{e^{-2 x} \left(-x^4-e^{4 x} x^2+2 e^{2 x} \left(x^3+6 x^2+36 x+54\right)\right)}{25 (x+3)^2}","\frac{e^{2 x} x^2 \left(e^{-2 x} x-1\right)^2}{25 (x+3)^2}",1,"-1/25*(-(E^(4*x)*x^2) - x^4 + 2*E^(2*x)*(54 + 36*x + 6*x^2 + x^3))/(E^(2*x)*(3 + x)^2)","A",1
5524,1,54,20,0.300495,"\int \frac{1}{4} e^x \left(9+57 x+90 x^2+54 x^3+13 x^4+x^5+\left(18+78 x+72 x^2+22 x^3+2 x^4\right) \log (3)+\left(9+21 x+9 x^2+x^3\right) \log ^2(3)\right) \, dx","Integrate[(E^x*(9 + 57*x + 90*x^2 + 54*x^3 + 13*x^4 + x^5 + (18 + 78*x + 72*x^2 + 22*x^3 + 2*x^4)*Log[3] + (9 + 21*x + 9*x^2 + x^3)*Log[3]^2))/4,x]","\frac{1}{4} e^x x \left(x^4+x^3 (8+\log (9))+x^2 \left(22+\log ^2(3)+\log (4782969)\right)+3 x \left(8+2 \log ^2(3)+\log (59049)\right)+9+9 \log ^2(3)+\log (387420489)\right)","\frac{1}{4} e^x x (x+3)^2 (x+1+\log (3))^2",1,"(E^x*x*(9 + x^4 + 9*Log[3]^2 + x^3*(8 + Log[9]) + 3*x*(8 + 2*Log[3]^2 + Log[59049]) + x^2*(22 + Log[3]^2 + Log[4782969]) + Log[387420489]))/4","B",1
5525,1,23,25,0.1021217,"\int \frac{50-27 x-23 x^2+x^3+\left(24 x-x^2\right) \log \left(x^2\right)}{25 x^2-x^3+\left(-25 x+x^2\right) \log \left(x^2\right)} \, dx","Integrate[(50 - 27*x - 23*x^2 + x^3 + (24*x - x^2)*Log[x^2])/(25*x^2 - x^3 + (-25*x + x^2)*Log[x^2]),x]","-\log \left(x-\log \left(x^2\right)\right)-x-\log (25-x)","\log \left(\frac{12 e^{-x}}{(25-x) \left(\log \left(x^2\right)-x\right)}\right)",1,"-x - Log[25 - x] - Log[x - Log[x^2]]","A",1
5526,1,12,14,0.051435,"\int \frac{6+e^{2 x} (-2+4 x)}{9-6 e^{2 x}+e^{4 x}} \, dx","Integrate[(6 + E^(2*x)*(-2 + 4*x))/(9 - 6*E^(2*x) + E^(4*x)),x]","-\frac{2 x}{e^{2 x}-3}","\frac{2 x}{3-e^{2 x}}",1,"(-2*x)/(-3 + E^(2*x))","A",1
5527,1,27,25,0.0353778,"\int \frac{e^{1-2 e^3-4 x} (3+12 x) \log (2)}{e^{2-8 x}-8 e^{1-4 x} x+16 x^2} \, dx","Integrate[(E^(1 - 2*E^3 - 4*x)*(3 + 12*x)*Log[2])/(E^(2 - 8*x) - 8*E^(1 - 4*x)*x + 16*x^2),x]","\frac{3 e^{1-2 e^3} \log (2)}{4 \left(e-4 e^{4 x} x\right)}","\frac{3 e^{-2 e^3} x \log (2)}{e^{1-4 x}-4 x}",1,"(3*E^(1 - 2*E^3)*Log[2])/(4*(E - 4*E^(4*x)*x))","A",1
5528,1,17,18,0.0238536,"\int e^{-x} \left(180 x+e^x (5+10 x)\right) \, dx","Integrate[(180*x + E^x*(5 + 10*x))/E^x,x]","5 e^{-x} (x+1) \left(e^x x-36\right)","5 (x+1) \left(x-36 e^{-x}\right)+\frac{19}{5}",1,"(5*(1 + x)*(-36 + E^x*x))/E^x","A",1
5529,0,0,31,1.5961775,"\int \frac{-16 e^{3+x^2}+e^{x^2} \left(-2 e^6+16 e^3 x^2\right) \log \left(x^2\right)+\left(-4 e^3 x+e^6 (1+x)\right) \log ^2\left(x^2\right)+\left(16 e^{x^2}+e^{x^2} \left(4 e^3-16 x^2\right) \log \left(x^2\right)+\left(e^3 (-2-2 x)+4 x\right) \log ^2\left(x^2\right)\right) \log \left(\frac{4 e^{2 x^2}+e^{x^2} (-4-4 x) \log \left(x^2\right)+\left(1+2 x+x^2\right) \log ^2\left(x^2\right)}{\log ^2\left(x^2\right)}\right)+\left(-2 e^{x^2} \log \left(x^2\right)+(1+x) \log ^2\left(x^2\right)\right) \log ^2\left(\frac{4 e^{2 x^2}+e^{x^2} (-4-4 x) \log \left(x^2\right)+\left(1+2 x+x^2\right) \log ^2\left(x^2\right)}{\log ^2\left(x^2\right)}\right)}{-2 e^{x^2} \log \left(x^2\right)+(1+x) \log ^2\left(x^2\right)} \, dx","Integrate[(-16*E^(3 + x^2) + E^x^2*(-2*E^6 + 16*E^3*x^2)*Log[x^2] + (-4*E^3*x + E^6*(1 + x))*Log[x^2]^2 + (16*E^x^2 + E^x^2*(4*E^3 - 16*x^2)*Log[x^2] + (E^3*(-2 - 2*x) + 4*x)*Log[x^2]^2)*Log[(4*E^(2*x^2) + E^x^2*(-4 - 4*x)*Log[x^2] + (1 + 2*x + x^2)*Log[x^2]^2)/Log[x^2]^2] + (-2*E^x^2*Log[x^2] + (1 + x)*Log[x^2]^2)*Log[(4*E^(2*x^2) + E^x^2*(-4 - 4*x)*Log[x^2] + (1 + 2*x + x^2)*Log[x^2]^2)/Log[x^2]^2]^2)/(-2*E^x^2*Log[x^2] + (1 + x)*Log[x^2]^2),x]","\int \frac{-16 e^{3+x^2}+e^{x^2} \left(-2 e^6+16 e^3 x^2\right) \log \left(x^2\right)+\left(-4 e^3 x+e^6 (1+x)\right) \log ^2\left(x^2\right)+\left(16 e^{x^2}+e^{x^2} \left(4 e^3-16 x^2\right) \log \left(x^2\right)+\left(e^3 (-2-2 x)+4 x\right) \log ^2\left(x^2\right)\right) \log \left(\frac{4 e^{2 x^2}+e^{x^2} (-4-4 x) \log \left(x^2\right)+\left(1+2 x+x^2\right) \log ^2\left(x^2\right)}{\log ^2\left(x^2\right)}\right)+\left(-2 e^{x^2} \log \left(x^2\right)+(1+x) \log ^2\left(x^2\right)\right) \log ^2\left(\frac{4 e^{2 x^2}+e^{x^2} (-4-4 x) \log \left(x^2\right)+\left(1+2 x+x^2\right) \log ^2\left(x^2\right)}{\log ^2\left(x^2\right)}\right)}{-2 e^{x^2} \log \left(x^2\right)+(1+x) \log ^2\left(x^2\right)} \, dx","x \left(e^3-\log \left(\left(-\frac{2 e^{x^2}}{\log \left(x^2\right)}+x+1\right)^2\right)\right)^2+2",1,"Integrate[(-16*E^(3 + x^2) + E^x^2*(-2*E^6 + 16*E^3*x^2)*Log[x^2] + (-4*E^3*x + E^6*(1 + x))*Log[x^2]^2 + (16*E^x^2 + E^x^2*(4*E^3 - 16*x^2)*Log[x^2] + (E^3*(-2 - 2*x) + 4*x)*Log[x^2]^2)*Log[(4*E^(2*x^2) + E^x^2*(-4 - 4*x)*Log[x^2] + (1 + 2*x + x^2)*Log[x^2]^2)/Log[x^2]^2] + (-2*E^x^2*Log[x^2] + (1 + x)*Log[x^2]^2)*Log[(4*E^(2*x^2) + E^x^2*(-4 - 4*x)*Log[x^2] + (1 + 2*x + x^2)*Log[x^2]^2)/Log[x^2]^2]^2)/(-2*E^x^2*Log[x^2] + (1 + x)*Log[x^2]^2), x]","F",-1
5530,1,32,31,0.0379192,"\int \frac{-5 x+25 x^2+5 e^4 x^2+20 x^3+45 x^4-30 x^5-10 x^6+5 x^7+\left(35+5 e^4+5 x+5 x^2-5 x^3-10 x^4+5 x^5\right) \log \left(7+e^4+x+x^2-x^3-2 x^4+x^5\right)}{7 x^2+e^4 x^2+x^3+x^4-x^5-2 x^6+x^7} \, dx","Integrate[(-5*x + 25*x^2 + 5*E^4*x^2 + 20*x^3 + 45*x^4 - 30*x^5 - 10*x^6 + 5*x^7 + (35 + 5*E^4 + 5*x + 5*x^2 - 5*x^3 - 10*x^4 + 5*x^5)*Log[7 + E^4 + x + x^2 - x^3 - 2*x^4 + x^5])/(7*x^2 + E^4*x^2 + x^3 + x^4 - x^5 - 2*x^6 + x^7),x]","5 \left(x-\frac{\log \left(x^5-2 x^4-x^3+x^2+x+e^4+7\right)}{x}\right)","5 \left(x-\frac{\log \left(x \left(\left(-x^2+x+1\right)^2-x\right)+e^4+7\right)}{x}\right)",1,"5*(x - Log[7 + E^4 + x + x^2 - x^3 - 2*x^4 + x^5]/x)","A",1
5531,1,26,26,0.0715288,"\int \frac{-2-x+x^2+e^x \left(2 x-x^2\right)+\left(2 e^4+2 e^x-2 x-2 \log (x)\right) \log \left(e^4+e^x-x-\log (x)\right)}{\left(-e^4 x^2-e^x x^2+x^3+x^2 \log (x)\right) \log ^2\left(e^4+e^x-x-\log (x)\right)} \, dx","Integrate[(-2 - x + x^2 + E^x*(2*x - x^2) + (2*E^4 + 2*E^x - 2*x - 2*Log[x])*Log[E^4 + E^x - x - Log[x]])/((-(E^4*x^2) - E^x*x^2 + x^3 + x^2*Log[x])*Log[E^4 + E^x - x - Log[x]]^2),x]","\frac{2-x}{x \log \left(-x+e^x-\log (x)+e^4\right)}","\frac{2-x}{x \log \left(-x+e^x-\log (x)+e^4\right)}",1,"(2 - x)/(x*Log[E^4 + E^x - x - Log[x]])","A",1
5532,1,19,25,0.0025418,"\int \frac{8 e+e^3 (2 x-2 e x)}{e^4} \, dx","Integrate[(8*E + E^3*(2*x - 2*E*x))/E^4,x]","\frac{x^2}{e}-x^2+\frac{8 x}{e^3}","\frac{2 \left(4 x+e^e\right)}{e^3}+x \left(\frac{x}{e}-x\right)-3",1,"(8*x)/E^3 - x^2 + x^2/E","A",1
5533,1,7,24,0.0010821,"\int \frac{5}{1-2 x+x^2} \, dx","Integrate[5/(1 - 2*x + x^2),x]","-\frac{5}{x-1}","\frac{5}{1-x}+10-\frac{3}{1+e^2-\log (5)}",1,"-5/(-1 + x)","A",1
5534,1,13,13,0.0030626,"\int -\frac{128 x}{4096 e^{32}+128 e^{16} x^2+x^4} \, dx","Integrate[(-128*x)/(4096*E^32 + 128*E^16*x^2 + x^4),x]","\frac{64}{x^2+64 e^{16}}","\frac{1}{\frac{x^2}{64}+e^{16}}",1,"64/(64*E^16 + x^2)","A",1
5535,1,35,29,0.161313,"\int \frac{-74+8 e^{1-x}+8 e^{1-x} x \log (x)+\left(-148+16 e^{1-x}\right) \log (x) \log \left(-\frac{4 \log (x)}{-37+4 e^{1-x}}\right)+\left(74-8 e^{1-x}\right) \log (x) \log \left(-\frac{4 \log (x)}{-37+4 e^{1-x}}\right) \log \left(\log \left(-\frac{4 \log (x)}{-37+4 e^{1-x}}\right)\right)}{\left(-185 x^2+20 e^{1-x} x^2\right) \log (x) \log \left(-\frac{4 \log (x)}{-37+4 e^{1-x}}\right)} \, dx","Integrate[(-74 + 8*E^(1 - x) + 8*E^(1 - x)*x*Log[x] + (-148 + 16*E^(1 - x))*Log[x]*Log[(-4*Log[x])/(-37 + 4*E^(1 - x))] + (74 - 8*E^(1 - x))*Log[x]*Log[(-4*Log[x])/(-37 + 4*E^(1 - x))]*Log[Log[(-4*Log[x])/(-37 + 4*E^(1 - x))]])/((-185*x^2 + 20*E^(1 - x)*x^2)*Log[x]*Log[(-4*Log[x])/(-37 + 4*E^(1 - x))]),x]","\frac{1}{5} \left(\frac{2 \log \left(\log \left(\frac{4 e^x \log (x)}{37 e^x-4 e}\right)\right)}{x}-\frac{4}{x}\right)","\frac{2 \left(\log \left(\log \left(\frac{\log (x)}{\frac{37}{4}-e^{1-x}}\right)\right)-2\right)}{5 x}",1,"(-4/x + (2*Log[Log[(4*E^x*Log[x])/(-4*E + 37*E^x)]])/x)/5","A",1
5536,1,34,21,0.0134949,"\int \frac{5-2 e^3 x^2+\left(-1+2 e^3 x^2\right) \log \left(x^2\right)}{2 e^3 x^2} \, dx","Integrate[(5 - 2*E^3*x^2 + (-1 + 2*E^3*x^2)*Log[x^2])/(2*E^3*x^2),x]","x \log \left(x^2\right)+\frac{\log \left(x^2\right)}{2 e^3 x}-3 x-\frac{3}{2 e^3 x}","\left(x+\frac{1}{2 e^3 x}\right) \left(\log \left(x^2\right)-3\right)-3",1,"-3/(2*E^3*x) - 3*x + Log[x^2]/(2*E^3*x) + x*Log[x^2]","A",1
5537,1,28,29,0.1756471,"\int \frac{\exp \left(-\frac{\left(2 x+x^2\right) \log (4)+\log ^2(3) \log ^2(\log (x))}{2+x}\right) \left(\exp \left(\frac{\left(2 x+x^2\right) \log (4)+\log ^2(3) \log ^2(\log (x))}{2+x}\right) \left(4+4 x+x^2\right) \log (x)+\left(-20 x-20 x^2-5 x^3\right) \log (4) \log (x)+(-20-10 x) \log ^2(3) \log (\log (x))+5 x \log ^2(3) \log (x) \log ^2(\log (x))\right)}{\left(4 x+4 x^2+x^3\right) \log (x)} \, dx","Integrate[(E^(((2*x + x^2)*Log[4] + Log[3]^2*Log[Log[x]]^2)/(2 + x))*(4 + 4*x + x^2)*Log[x] + (-20*x - 20*x^2 - 5*x^3)*Log[4]*Log[x] + (-20 - 10*x)*Log[3]^2*Log[Log[x]] + 5*x*Log[3]^2*Log[x]*Log[Log[x]]^2)/(E^(((2*x + x^2)*Log[4] + Log[3]^2*Log[Log[x]]^2)/(2 + x))*(4*x + 4*x^2 + x^3)*Log[x]),x]","5\ 4^{-x} e^{-\frac{\log ^2(3) \log ^2(\log (x))}{x+2}}+\log (x)","5 e^{-\frac{\log ^2(3) \log ^2(\log (x))}{x+2}-x \log (4)}+\log (x)",1,"5/(4^x*E^((Log[3]^2*Log[Log[x]]^2)/(2 + x))) + Log[x]","A",1
5538,1,188,31,0.3895162,"\int \frac{-40+5 x-16 x^2-4 x^3+x^5+\left(5 x+3 x^3\right) \log \left(\frac{\log (18)}{x}\right)}{25 x^3+10 x^5+x^7} \, dx","Integrate[(-40 + 5*x - 16*x^2 - 4*x^3 + x^5 + (5*x + 3*x^3)*Log[Log[18]/x])/(25*x^3 + 10*x^5 + x^7),x]","\frac{1}{50} \left(-\frac{50 x}{x^2+5}-\frac{40}{x^2+5}+\frac{40}{x^2}-i \sqrt{5} \log \left(\sqrt{5}+i x\right)+i \sqrt{5} \log \left(x+i \sqrt{5}\right)+4 i \sqrt{5} \log \left(1-\frac{i x}{\sqrt{5}}\right)-4 i \sqrt{5} \log \left(1+\frac{i x}{\sqrt{5}}\right)+\frac{5 i \log \left(\frac{\log (18)}{x}\right)}{\sqrt{5}+i x}+\frac{5 \log \left(\frac{\log (18)}{x}\right)}{x+i \sqrt{5}}-\frac{10 \log \left(\frac{\log (18)}{x}\right)}{x}-10 \sqrt{5} \tan ^{-1}\left(\frac{x}{\sqrt{5}}\right)\right)","\frac{-x^2+\frac{4}{x}-\log \left(\frac{\log (18)}{x}\right)}{x \left(x^2+5\right)}",1,"(40/x^2 - 40/(5 + x^2) - (50*x)/(5 + x^2) - 10*Sqrt[5]*ArcTan[x/Sqrt[5]] - I*Sqrt[5]*Log[Sqrt[5] + I*x] + I*Sqrt[5]*Log[I*Sqrt[5] + x] + (4*I)*Sqrt[5]*Log[1 - (I*x)/Sqrt[5]] - (4*I)*Sqrt[5]*Log[1 + (I*x)/Sqrt[5]] + ((5*I)*Log[Log[18]/x])/(Sqrt[5] + I*x) - (10*Log[Log[18]/x])/x + (5*Log[Log[18]/x])/(I*Sqrt[5] + x))/50","C",1
5539,1,37,19,0.4273511,"\int \frac{e^{-\frac{1250}{x \log (2 x)}} (-2500-2500 \log (2 x))+e^{-\frac{2500}{x \log (2 x)}} (2500+2500 \log (2 x))}{x^2 \log ^2(2 x)} \, dx","Integrate[((-2500 - 2500*Log[2*x])/E^(1250/(x*Log[2*x])) + (2500 + 2500*Log[2*x])/E^(2500/(x*Log[2*x])))/(x^2*Log[2*x]^2),x]","-2500 \left(\frac{e^{-\frac{1250}{x \log (2 x)}}}{1250}-\frac{e^{-\frac{2500}{x \log (2 x)}}}{2500}\right)","\left(1-e^{-\frac{1250}{x \log (2 x)}}\right)^2",1,"-2500*(-1/2500*1/E^(2500/(x*Log[2*x])) + 1/(1250*E^(1250/(x*Log[2*x]))))","A",1
5540,1,80,24,0.034443,"\int \frac{243+360 x+153 x^2-14 x^3-16 x^4+\left(-540-900 x-540 x^2-120 x^3\right) \log (2)+\left(675+1350 x+900 x^2+200 x^3\right) \log ^2(2)}{27+54 x+36 x^2+8 x^3} \, dx","Integrate[(243 + 360*x + 153*x^2 - 14*x^3 - 16*x^4 + (-540 - 900*x - 540*x^2 - 120*x^3)*Log[2] + (675 + 1350*x + 900*x^2 + 200*x^3)*Log[2]^2)/(27 + 54*x + 36*x^2 + 8*x^3),x]","\frac{-32 x^4+8 x^3 \left(17+100 \log ^2(2)-60 \log (2)\right)+36 x^2 \left(29+100 \log ^2(2)-60 \log (2)\right)+36 x \left(47+150 \log ^2(2)-80 \log (2)\right)+27 \left(29+100 \log ^2(2)-40 \log (2)\right)}{8 (2 x+3)^2}","x \left(-x+\left(\frac{x}{2 x+3}-2+5 \log (2)\right)^2+5\right)",1,"(-32*x^4 + 8*x^3*(17 - 60*Log[2] + 100*Log[2]^2) + 36*x^2*(29 - 60*Log[2] + 100*Log[2]^2) + 27*(29 - 40*Log[2] + 100*Log[2]^2) + 36*x*(47 - 80*Log[2] + 150*Log[2]^2))/(8*(3 + 2*x)^2)","B",1
5541,1,22,27,0.0878141,"\int \frac{-x+10 x^2-2 x^3+3 x^4+\left(10+3 x^2\right) \log (x)}{2 x^4+2 x^2 \log (x)} \, dx","Integrate[(-x + 10*x^2 - 2*x^3 + 3*x^4 + (10 + 3*x^2)*Log[x])/(2*x^4 + 2*x^2*Log[x]),x]","\frac{1}{2} \left(-\log \left(x^2+\log (x)\right)+3 x-\frac{10}{x}\right)","\frac{1}{2} \left(-\log \left(x^2+\log (x)\right)-x-\frac{10}{x}+5\right)+2 x",1,"(-10/x + 3*x - Log[x^2 + Log[x]])/2","A",1
5542,1,35,30,0.0908777,"\int \frac{-20-2 x+\left(-20 x-2 x^2\right) \log (x)+\left(\left(-40 x-2 x^2\right) \log \left(\frac{16}{60 x+3 x^2}\right)+\left(-40 x-2 x^2\right) \log (x) \log \left(\frac{16}{60 x+3 x^2}\right)\right) \log (1+x \log (x))}{\left(20 x+x^2\right) \log \left(\frac{16}{60 x+3 x^2}\right)+\left(20 x^2+x^3\right) \log (x) \log \left(\frac{16}{60 x+3 x^2}\right)} \, dx","Integrate[(-20 - 2*x + (-20*x - 2*x^2)*Log[x] + ((-40*x - 2*x^2)*Log[16/(60*x + 3*x^2)] + (-40*x - 2*x^2)*Log[x]*Log[16/(60*x + 3*x^2)])*Log[1 + x*Log[x]])/((20*x + x^2)*Log[16/(60*x + 3*x^2)] + (20*x^2 + x^3)*Log[x]*Log[16/(60*x + 3*x^2)]),x]","-2 \left(\frac{1}{2} \log ^2(x \log (x)+1)-\frac{1}{2} \log \left(\log \left(\frac{16}{3 x^2+60 x}\right)\right)\right)","\log \left(\log \left(\frac{4}{3 \left(\frac{x}{4}+5\right) x}\right)\right)-\log ^2(x \log (x)+1)",1,"-2*(Log[1 + x*Log[x]]^2/2 - Log[Log[16/(60*x + 3*x^2)]]/2)","A",1
5543,1,20,21,0.034458,"\int \frac{-8+24 x-24 x^2+8 x^3+(-8+8 x) \log \left(5 e^x\right)-8 \log ^2\left(5 e^x\right)}{-1+3 x-3 x^2+x^3} \, dx","Integrate[(-8 + 24*x - 24*x^2 + 8*x^3 + (-8 + 8*x)*Log[5*E^x] - 8*Log[5*E^x]^2)/(-1 + 3*x - 3*x^2 + x^3),x]","8 x+\frac{4 \log ^2\left(5 e^x\right)}{(x-1)^2}-12","4 \left(2 x+\frac{\log ^2\left(5 e^x\right)}{(x-1)^2}+4\right)",1,"-12 + 8*x + (4*Log[5*E^x]^2)/(-1 + x)^2","A",1
5544,1,25,25,1.5462703,"\int \frac{e^{\frac{1}{2} (2 x+3 \log (x-\log (x)))} \left(11 x-x^2-2 x^3+\left(4-19 x-9 x^2-2 x^3\right) \log (x)+\left(8+8 x+2 x^2\right) \log ^2(x)\right)}{-2 x^3+\left(-14 x^2-4 x^3\right) \log (x)+\left(-16 x-12 x^2-2 x^3\right) \log ^2(x)+\left(32+16 x+2 x^2\right) \log ^3(x)} \, dx","Integrate[(E^((2*x + 3*Log[x - Log[x]])/2)*(11*x - x^2 - 2*x^3 + (4 - 19*x - 9*x^2 - 2*x^3)*Log[x] + (8 + 8*x + 2*x^2)*Log[x]^2))/(-2*x^3 + (-14*x^2 - 4*x^3)*Log[x] + (-16*x - 12*x^2 - 2*x^3)*Log[x]^2 + (32 + 16*x + 2*x^2)*Log[x]^3),x]","\frac{e^x x (x-\log (x))^{3/2}}{x+(x+4) \log (x)}","\frac{e^x x (x-\log (x))^{3/2}}{x+(x+4) \log (x)}",1,"(E^x*x*(x - Log[x])^(3/2))/(x + (4 + x)*Log[x])","A",1
5545,1,21,24,0.4011275,"\int \frac{3 e^5+e^x \left(-16 x+8 x^2\right)}{\left(-e^5 x+8 e^x x^2+32 x^4\right) \log \left(\frac{-e^5+8 e^x x+32 x^3}{8 x^3}\right)} \, dx","Integrate[(3*E^5 + E^x*(-16*x + 8*x^2))/((-(E^5*x) + 8*E^x*x^2 + 32*x^4)*Log[(-E^5 + 8*E^x*x + 32*x^3)/(8*x^3)]),x]","\log \left(\log \left(-\frac{e^5}{8 x^3}+\frac{e^x}{x^2}+4\right)\right)","\log \left(20 \log \left(\frac{e^x-\frac{e^5}{8 x}}{x^2}+4\right)\right)",1,"Log[Log[4 - E^5/(8*x^3) + E^x/x^2]]","A",1
5546,1,30,23,0.1092368,"\int \frac{\left(20 x-4 x^2\right) \log (-5+x) \log (x)+((-80+16 x) \log (-5+x)-16 x \log (x)) \log (\log (-5+x))+((80-16 x) \log (-5+x)+16 x \log (x)) \log (\log (x))}{\left(-5 x+x^2\right) \log (-5+x) \log (x)} \, dx","Integrate[((20*x - 4*x^2)*Log[-5 + x]*Log[x] + ((-80 + 16*x)*Log[-5 + x] - 16*x*Log[x])*Log[Log[-5 + x]] + ((80 - 16*x)*Log[-5 + x] + 16*x*Log[x])*Log[Log[x]])/((-5*x + x^2)*Log[-5 + x]*Log[x]),x]","-4 x-8 \log ^2(\log (x-5))-8 \log ^2(\log (x))+16 \log (\log (x)) \log (\log (x-5))","4 \left(x-2 \left(x+(\log (\log (x-5))-\log (\log (x)))^2+\log (5)\right)\right)",1,"-4*x - 8*Log[Log[-5 + x]]^2 + 16*Log[Log[-5 + x]]*Log[Log[x]] - 8*Log[Log[x]]^2","A",1
5547,1,39,33,0.7854364,"\int \frac{e^{-x} \left(-1+x+x^2+x^2 \log (2)+e^x \left(x-2 x^2+x^3\right) \log \left(5 e^2\right)+x^2 \log \left(\frac{2}{x}\right)\right)}{\left(x-2 x^2+x^3\right) \log \left(5 e^2\right)} \, dx","Integrate[(-1 + x + x^2 + x^2*Log[2] + E^x*(x - 2*x^2 + x^3)*Log[5*E^2] + x^2*Log[2/x])/(E^x*(x - 2*x^2 + x^3)*Log[5*E^2]),x]","\frac{e^{-x} \left(e^x (x-1) x (2+\log (5))-\log \left(\frac{4}{x}\right)-1\right)}{(x-1) (2+\log (5))}","x+\frac{e^{-x} \left(\log \left(\frac{2}{x}\right)+1+\log (2)\right)}{(1-x) \log \left(5 e^2\right)}",1,"(-1 + E^x*(-1 + x)*x*(2 + Log[5]) - Log[4/x])/(E^x*(-1 + x)*(2 + Log[5]))","A",1
5548,1,23,24,0.061121,"\int \frac{-4 x+8 x^2+e^4 \left(x+2 x^2\right)+e^2 \left(4 x+8 x^2\right)+\left(-4+4 x+4 e^2 x+e^4 x\right) \log \left(-4+4 x+4 e^2 x+e^4 x\right)}{-4 x^2+4 x^3+4 e^2 x^3+e^4 x^3+\left(8-8 x-8 e^2 x-2 e^4 x\right) \log (5)+\left(-4 x+4 x^2+4 e^2 x^2+e^4 x^2\right) \log \left(-4+4 x+4 e^2 x+e^4 x\right)} \, dx","Integrate[(-4*x + 8*x^2 + E^4*(x + 2*x^2) + E^2*(4*x + 8*x^2) + (-4 + 4*x + 4*E^2*x + E^4*x)*Log[-4 + 4*x + 4*E^2*x + E^4*x])/(-4*x^2 + 4*x^3 + 4*E^2*x^3 + E^4*x^3 + (8 - 8*x - 8*E^2*x - 2*E^4*x)*Log[5] + (-4*x + 4*x^2 + 4*E^2*x^2 + E^4*x^2)*Log[-4 + 4*x + 4*E^2*x + E^4*x]),x]","\log \left(x^2+x \log \left(\left(2+e^2\right)^2 x-4\right)-2 \log (5)\right)","\log \left(2-\frac{x \left(x+\log \left(\left(2+e^2\right)^2 x-4\right)\right)}{\log (5)}\right)",1,"Log[x^2 - 2*Log[5] + x*Log[-4 + (2 + E^2)^2*x]]","A",1
5549,1,20,24,0.0667451,"\int \frac{-10+3 x-2 \log (3)-x \log \left(x^2\right)}{-25 x-5 x^2-5 x \log (3)+\left(5 x+x^2+x \log (3)\right) \log \left(x^2\right)} \, dx","Integrate[(-10 + 3*x - 2*Log[3] - x*Log[x^2])/(-25*x - 5*x^2 - 5*x*Log[3] + (5*x + x^2 + x*Log[3])*Log[x^2]),x]","-\log \left(5-\log \left(x^2\right)\right)-\log (x+5+\log (3))","\log \left(\frac{\frac{11}{2}+e^4}{(x+5+\log (3)) \left(\log \left(x^2\right)-5\right)}\right)",1,"-Log[5 + x + Log[3]] - Log[5 - Log[x^2]]","A",1
5550,1,27,24,1.1639282,"\int \frac{e^3+e^{3 e^x}+3 e^{2+e^x}+3 e^{1+2 e^x}+\exp \left(\frac{75-30 e+3 e^2+3 e^{2 e^x}+(-30+6 e) \log (5)+3 \log ^2(5)+e^{e^x} (-30+6 e+6 \log (5))}{e^2+e^{2 e^x}+2 e^{1+e^x}}\right) \left(e^{2 e^x+x} (30-6 \log (5))+e^{e^x+x} \left(-150+30 e+(60-6 e) \log (5)-6 \log ^2(5)\right)\right)}{e^3+e^{3 e^x}+3 e^{2+e^x}+3 e^{1+2 e^x}} \, dx","Integrate[(E^3 + E^(3*E^x) + 3*E^(2 + E^x) + 3*E^(1 + 2*E^x) + E^((75 - 30*E + 3*E^2 + 3*E^(2*E^x) + (-30 + 6*E)*Log[5] + 3*Log[5]^2 + E^E^x*(-30 + 6*E + 6*Log[5]))/(E^2 + E^(2*E^x) + 2*E^(1 + E^x)))*(E^(2*E^x + x)*(30 - 6*Log[5]) + E^(E^x + x)*(-150 + 30*E + (60 - 6*E)*Log[5] - 6*Log[5]^2)))/(E^3 + E^(3*E^x) + 3*E^(2 + E^x) + 3*E^(1 + 2*E^x)),x]","x+e^{\frac{3 \left(e^{e^x}-5+e+\log (5)\right)^2}{\left(e^{e^x}+e\right)^2}}","x+e^{3 \left(\frac{\log (5)-5}{e^{e^x}+e}+1\right)^2}",1,"E^((3*(-5 + E + E^E^x + Log[5])^2)/(E + E^E^x)^2) + x","A",1
5551,1,12,12,0.4177058,"\int \frac{-5670-3240 x-2430 \log (x)}{8 x^7+12 x^8+6 x^9+x^{10}+\left(12 x^7+12 x^8+3 x^9\right) \log (x)+\left(6 x^7+3 x^8\right) \log ^2(x)+x^7 \log ^3(x)} \, dx","Integrate[(-5670 - 3240*x - 2430*Log[x])/(8*x^7 + 12*x^8 + 6*x^9 + x^10 + (12*x^7 + 12*x^8 + 3*x^9)*Log[x] + (6*x^7 + 3*x^8)*Log[x]^2 + x^7*Log[x]^3),x]","\frac{405}{x^6 (x+\log (x)+2)^2}","\frac{405}{x^6 (x+\log (x)+2)^2}",1,"405/(x^6*(2 + x + Log[x])^2)","A",1
5552,1,17,20,0.0345291,"\int \frac{-25-19 x+\left(-50 x+12 x^2\right) \log \left(\frac{15 x}{-25+6 x}\right)}{-25+6 x} \, dx","Integrate[(-25 - 19*x + (-50*x + 12*x^2)*Log[(15*x)/(-25 + 6*x)])/(-25 + 6*x),x]","x^2 \log \left(-\frac{15 x}{25-6 x}\right)+x","x^2 \log \left(\frac{3 x}{\frac{6 x}{5}-5}\right)+x+8",1,"x + x^2*Log[(-15*x)/(25 - 6*x)]","A",1
5553,1,25,23,0.0126138,"\int \frac{-280+7600 x+6523 x^2+1272 x^3+72 x^4}{-280 x+3765 x^2+2491 x^3+444 x^4+24 x^5} \, dx","Integrate[(-280 + 7600*x + 6523*x^2 + 1272*x^3 + 72*x^4)/(-280*x + 3765*x^2 + 2491*x^3 + 444*x^4 + 24*x^5),x]","\log \left(-24 x^3-252 x^2-475 x+35\right)+\log (x)-\log (x+8)","\log \left(-12 \left(\frac{2 x}{5}+1\right) x^2-\frac{x}{x+8}+x\right)",1,"Log[x] - Log[8 + x] + Log[35 - 475*x - 252*x^2 - 24*x^3]","A",1
5554,1,26,18,0.0217441,"\int \frac{-4-e^4+e^2 (4-4 x)+8 x}{16 x+4 e^4 x+32 x^2+16 x^3+e^2 \left(-16 x-16 x^2\right)+\left(-16 x-4 e^4 x-16 x^2+e^2 \left(16 x+8 x^2\right)\right) \log (x)+\left(4 x-4 e^2 x+e^4 x\right) \log ^2(x)} \, dx","Integrate[(-4 - E^4 + E^2*(4 - 4*x) + 8*x)/(16*x + 4*E^4*x + 32*x^2 + 16*x^3 + E^2*(-16*x - 16*x^2) + (-16*x - 4*E^4*x - 16*x^2 + E^2*(16*x + 8*x^2))*Log[x] + (4*x - 4*E^2*x + E^4*x)*Log[x]^2),x]","\frac{e^2-2}{4 x+\left(e^2-2\right) \log (x)-2 e^2+4}","\frac{1}{-\frac{4 x}{2-e^2}+\log (x)-2}",1,"(-2 + E^2)/(4 - 2*E^2 + 4*x + (-2 + E^2)*Log[x])","A",1
5555,1,39,29,0.4239236,"\int \frac{-9+28 x+11 x^2+\left(-9+6 x+3 x^2\right) \log (2 x)}{27 x+16 x^2+3 x^3+\left(9 x+6 x^2+x^3\right) \log (2 x)} \, dx","Integrate[(-9 + 28*x + 11*x^2 + (-9 + 6*x + 3*x^2)*Log[2*x])/(27*x + 16*x^2 + 3*x^3 + (9*x + 6*x^2 + x^3)*Log[2*x]),x]","2 \log \left(3 x^2+x^2 \log (2 x)+16 x+6 x \log (2 x)+9 \log (2 x)+27\right)-\log (x)","\frac{1}{2} \log \left(x^2 \left(4-\frac{2 (x+3)^2 (\log (2 x)+3)}{x}\right)^4\right)",1,"-Log[x] + 2*Log[27 + 16*x + 3*x^2 + 9*Log[2*x] + 6*x*Log[2*x] + x^2*Log[2*x]]","A",1
5556,1,13,19,0.0036127,"\int \frac{3}{5-12 e^3+3 x+\log (5)} \, dx","Integrate[3/(5 - 12*E^3 + 3*x + Log[5]),x]","\log \left(3 x-12 e^3+5+\log (5)\right)","\log \left(6-\frac{x+\frac{1}{2} (x+5+\log (5))}{e^3}\right)",1,"Log[5 - 12*E^3 + 3*x + Log[5]]","A",1
5557,1,25,31,0.0000815,"\int \frac{1}{5} (12-i \pi -\log (-\log (\log (2)))) \, dx","Integrate[(12 - I*Pi - Log[-Log[Log[2]]])/5,x]","-\frac{i \pi  x}{5}+\frac{12 x}{5}-\frac{1}{5} x \log (-\log (\log (2)))","2 x+\frac{1}{5} (2 x-(\log (-\log (\log (2)))+i \pi ) (x+\log (2))-5)",1,"(12*x)/5 - (I/5)*Pi*x - (x*Log[-Log[Log[2]]])/5","A",1
5558,1,24,24,0.0298932,"\int \left(8 x-12 x^2+24 x^3-12 x^4+8 x^5+e^{e^3} \left(4-4 x+8 x^2\right)+\left(6 e^{e^3} x^2+16 x^3-10 x^4+14 x^5\right) \log (x)+6 x^5 \log ^2(x)\right) \, dx","Integrate[8*x - 12*x^2 + 24*x^3 - 12*x^4 + 8*x^5 + E^E^3*(4 - 4*x + 8*x^2) + (6*E^E^3*x^2 + 16*x^3 - 10*x^4 + 14*x^5)*Log[x] + 6*x^5*Log[x]^2,x]","\left(x^3 \log (x)+\left(x^2-x+2\right) x+e^{e^3}\right)^2","\left(x^3 (\log (x)+1)-x^2+2 x+e^{e^3}\right)^2",1,"(E^E^3 + x*(2 - x + x^2) + x^3*Log[x])^2","A",1
5559,1,17,17,0.2389087,"\int \frac{2 e^7+e^x \left(-2 e^7-2 x\right)+2 x+\left(2 e^x-2 x\right) \log \left(e^x-x\right)}{\left(e^x-x\right) \log ^2\left(e^x-x\right)} \, dx","Integrate[(2*E^7 + E^x*(-2*E^7 - 2*x) + 2*x + (2*E^x - 2*x)*Log[E^x - x])/((E^x - x)*Log[E^x - x]^2),x]","\frac{2 \left(x+e^7\right)}{\log \left(e^x-x\right)}","\frac{2 \left(x+e^7\right)}{\log \left(e^x-x\right)}",1,"(2*(E^7 + x))/Log[E^x - x]","A",1
5560,1,29,29,0.1695395,"\int \frac{-45-3 x^2+e^{10} \left(-15-x^2\right)+e^x \left(-15-15 x+x^2+x^3\right)+e^{e^5} \left(-9-3 e^{10}+e^x \left(-3-3 x+x^2\right)\right)+\left(-45+6 x+3 x^2+e^{e^5} \left(-9+e^{10} (-3+x)+e^x (-3+x)+3 x\right)+e^{10} \left(-15+2 x+x^2\right)+e^x \left(-15+2 x+x^2\right)\right) \log \left(\frac{3+e^{10}+e^x}{-15+e^{e^5} (-3+x)+2 x+x^2}\right)}{-45+6 x+3 x^2+e^{e^5} \left(-9+e^{10} (-3+x)+e^x (-3+x)+3 x\right)+e^{10} \left(-15+2 x+x^2\right)+e^x \left(-15+2 x+x^2\right)} \, dx","Integrate[(-45 - 3*x^2 + E^10*(-15 - x^2) + E^x*(-15 - 15*x + x^2 + x^3) + E^E^5*(-9 - 3*E^10 + E^x*(-3 - 3*x + x^2)) + (-45 + 6*x + 3*x^2 + E^E^5*(-9 + E^10*(-3 + x) + E^x*(-3 + x) + 3*x) + E^10*(-15 + 2*x + x^2) + E^x*(-15 + 2*x + x^2))*Log[(3 + E^10 + E^x)/(-15 + E^E^5*(-3 + x) + 2*x + x^2)])/(-45 + 6*x + 3*x^2 + E^E^5*(-9 + E^10*(-3 + x) + E^x*(-3 + x) + 3*x) + E^10*(-15 + 2*x + x^2) + E^x*(-15 + 2*x + x^2)),x]","x+x \log \left(\frac{e^x+3+e^{10}}{(x-3) \left(x+e^{e^5}+5\right)}\right)","x+x \log \left(\frac{e^x+3+e^{10}}{(x-3) \left(x+e^{e^5}+5\right)}\right)",1,"x + x*Log[(3 + E^10 + E^x)/((-3 + x)*(5 + E^E^5 + x))]","A",1
5561,1,70,28,0.0807198,"\int \frac{50-9 x+\left(-3 x+2 x^2\right) \log \left(\frac{5}{x}\right)+\left(-7 x-2 x^2\right) \log ^2\left(\frac{5}{x}\right)+\left(-x+2 x^2\right) \log ^3\left(\frac{5}{x}\right)}{-27 x+x^2+\left(31 x+7 x^2\right) \log \left(\frac{5}{x}\right)+\left(-6 x-7 x^2-x^3\right) \log ^2\left(\frac{5}{x}\right)+\left(2 x-x^2+x^3\right) \log ^3\left(\frac{5}{x}\right)} \, dx","Integrate[(50 - 9*x + (-3*x + 2*x^2)*Log[5/x] + (-7*x - 2*x^2)*Log[5/x]^2 + (-x + 2*x^2)*Log[5/x]^3)/(-27*x + x^2 + (31*x + 7*x^2)*Log[5/x] + (-6*x - 7*x^2 - x^3)*Log[5/x]^2 + (2*x - x^2 + x^3)*Log[5/x]^3),x]","\log \left(x^2 \log ^2\left(\frac{5}{x}\right)-x-x \log ^2\left(\frac{5}{x}\right)+2 \log ^2\left(\frac{5}{x}\right)-8 x \log \left(\frac{5}{x}\right)-4 \log \left(\frac{5}{x}\right)+27\right)-2 \log \left(1-\log \left(\frac{5}{x}\right)\right)","\log \left(-x+\left(x+\frac{5-x}{1-\log \left(\frac{5}{x}\right)}\right)^2+2\right)",1,"-2*Log[1 - Log[5/x]] + Log[27 - x - 4*Log[5/x] - 8*x*Log[5/x] + 2*Log[5/x]^2 - x*Log[5/x]^2 + x^2*Log[5/x]^2]","B",1
5562,1,16,17,0.3496093,"\int \frac{-\frac{e^2}{x}+8100 x^4}{\left(e^2+2025 x^5\right) \log \left(\frac{12 e^2}{x}+24300 x^4\right)} \, dx","Integrate[(-(E^2/x) + 8100*x^4)/((E^2 + 2025*x^5)*Log[(12*E^2)/x + 24300*x^4]),x]","\log \left(\log \left(\frac{12 \left(2025 x^5+e^2\right)}{x}\right)\right)","\log \left(\log \left(12 \left(2025 x^4+\frac{e^2}{x}\right)\right)\right)",1,"Log[Log[(12*(E^2 + 2025*x^5))/x]]","A",1
5563,1,25,32,0.0609943,"\int \left(-5+e^6+e^{-5-x+e^2 x} \left(-5+5 x-5 e^2 x\right)-5 \log (x)\right) \, dx","Integrate[-5 + E^6 + E^(-5 - x + E^2*x)*(-5 + 5*x - 5*E^2*x) - 5*Log[x],x]","-5 e^{\left(e^2-1\right) x-5} x+e^6 x-5 x \log (x)","x \left(5 \left(-e^{e^2 x-x-5}+\frac{12}{x}-\log (x)\right)+e^6\right)",1,"E^6*x - 5*E^(-5 + (-1 + E^2)*x)*x - 5*x*Log[x]","A",1
5564,1,15,22,0.0092624,"\int \left(6+2 x+e^{e^x} \left(4+4 e^x x\right)\right) \, dx","Integrate[6 + 2*x + E^E^x*(4 + 4*E^x*x),x]","x^2+4 e^{e^x} x+6 x","x^2+2 x-4 \left(-e^{e^x} x-x\right)-7",1,"6*x + 4*E^E^x*x + x^2","A",1
5565,1,31,33,0.099669,"\int \frac{\exp \left(e^{\frac{1}{2} e^{\frac{e^{e^{e^{-x} x}}+3 x-x \log (2)}{x}}}+e^{e^{-x} x}+\frac{1}{2} e^{\frac{e^{e^{e^{-x} x}}+3 x-x \log (2)}{x}}+\frac{e^{e^{e^{-x} x}}+3 x-x \log (2)}{x}\right) \left(-1+e^{-x+e^{-x} x} (1-x) x\right)}{8 x^2} \, dx","Integrate[(E^(E^(E^((E^E^(x/E^x) + 3*x - x*Log[2])/x)/2) + E^(x/E^x) + E^((E^E^(x/E^x) + 3*x - x*Log[2])/x)/2 + (E^E^(x/E^x) + 3*x - x*Log[2])/x)*(-1 + E^(-x + x/E^x)*(1 - x)*x))/(8*x^2),x]","\frac{1}{4} e^{e^{\frac{1}{4} e^{\frac{e^{e^{e^{-x} x}}}{x}+3}}}","\frac{1}{4} e^{e^{\frac{1}{4} e^{\frac{3 x+e^{e^{e^{-x} x}}}{x}}}}",1,"E^E^(E^(3 + E^E^(x/E^x)/x)/4)/4","A",1
5566,1,42,28,0.0063483,"\int \frac{-e^3+8 e^5 x+64 x^3+64 e x^3+e^2 \left(2 x+16 x^3\right)-e^2 \log (4)}{e^2} \, dx","Integrate[(-E^3 + 8*E^5*x + 64*x^3 + 64*E*x^3 + E^2*(2*x + 16*x^3) - E^2*Log[4])/E^2,x]","\frac{16 x^4}{e}+\frac{16 x^4}{e^2}+4 x^4+4 e^3 x^2+x^2-e x-x \log (4)","x \left(4 \left(\left(\frac{2 x}{e}+x\right)^2+e^3\right) x+x-e-\log (4)\right)",1,"-(E*x) + x^2 + 4*E^3*x^2 + 4*x^4 + (16*x^4)/E^2 + (16*x^4)/E - x*Log[4]","A",1
5567,1,29,23,0.0130444,"\int \frac{1}{5} \left(-240-30 x+288 x^2-48 x^4+e^x (15+15 x)\right) \, dx","Integrate[(-240 - 30*x + 288*x^2 - 48*x^4 + E^x*(15 + 15*x))/5,x]","-\frac{48 x^5}{25}+\frac{96 x^3}{5}-3 x^2+3 e^x x-48 x","3 x \left(-\left(\frac{4 x^2}{5}-4\right)^2+e^x-x\right)",1,"-48*x + 3*E^x*x - 3*x^2 + (96*x^3)/5 - (48*x^5)/25","A",1
5568,1,24,19,0.0189491,"\int \frac{663552 x-2097152 x^5}{6561+41472 x^2+107008 x^4+65536 e^{10} x^4+131072 x^6+65536 x^8+e^5 \left(41472 x^2+131072 x^4+131072 x^6\right)} \, dx","Integrate[(663552*x - 2097152*x^5)/(6561 + 41472*x^2 + 107008*x^4 + 65536*E^10*x^4 + 131072*x^6 + 65536*x^8 + E^5*(41472*x^2 + 131072*x^4 + 131072*x^6)),x]","\frac{8192 x^2}{512 x^4+512 \left(1+e^5\right) x^2+162}","\frac{16}{x^2+\frac{81}{256 x^2}+e^5+1}",1,"(8192*x^2)/(162 + 512*(1 + E^5)*x^2 + 512*x^4)","A",1
5569,1,31,31,0.1708941,"\int \frac{e^{-1-e^5-e^8+2 x} (1-x)-x+x^2+\left(x-2 e^{-1-e^5-e^8+2 x} x\right) \log \left(\frac{3 e^x}{x}\right)}{x} \, dx","Integrate[(E^(-1 - E^5 - E^8 + 2*x)*(1 - x) - x + x^2 + (x - 2*E^(-1 - E^5 - E^8 + 2*x)*x)*Log[(3*E^x)/x])/x,x]","\left(x-e^{2 x-e^8-e^5-1}\right) \log \left(\frac{3 e^x}{x}\right)","\left(x-e^{2 x-e^8-e^5-1}\right) \log \left(\frac{3 e^x}{x}\right)",1,"(-E^(-1 - E^5 - E^8 + 2*x) + x)*Log[(3*E^x)/x]","A",1
5570,1,29,31,0.0514806,"\int \frac{-2 x+2 \left(i \pi +\log \left(\frac{21}{5}\right)\right)-e^{\frac{2+x}{2}} x \left(i \pi +\log \left(\frac{21}{5}\right)\right)}{2 x \left(i \pi +\log \left(\frac{21}{5}\right)\right)} \, dx","Integrate[(-2*x + 2*(I*Pi + Log[21/5]) - E^((2 + x)/2)*x*(I*Pi + Log[21/5]))/(2*x*(I*Pi + Log[21/5])),x]","-e^{\frac{x}{2}+1}-\frac{x}{\log \left(\frac{21}{5}\right)+i \pi }+\log (x)","-e^{\frac{1}{4} (2 x+4)}-\frac{x}{\log \left(\frac{21}{5}\right)+i \pi }+\log (x)",1,"-E^(1 + x/2) - x/(I*Pi + Log[21/5]) + Log[x]","A",1
5571,1,24,20,0.0065086,"\int \frac{5-10 x^2+\left(10 x^2+10 x^3\right) \log (3)}{x^2} \, dx","Integrate[(5 - 10*x^2 + (10*x^2 + 10*x^3)*Log[3])/x^2,x]","5 \left(\frac{1}{2} x^2 \log (9)-2 x-\frac{1}{x}+x \log (9)\right)","5 \left(-2 x-\frac{1}{x}+(x+1)^2 \log (3)+4\right)",1,"5*(-x^(-1) - 2*x + x*Log[9] + (x^2*Log[9])/2)","A",1
5572,1,37,36,0.1600502,"\int \frac{-9 x^2+6 x^3-16 x^4+8 x^5-8 x^6+2 x^7-x^8+e^x \left(3 x^2-5 x^3+x^4+4 x^5-4 x^6+x^7\right)+\left(-9 x^2+6 x^3+2 x^4-4 x^5+6 x^6-2 x^7+x^8+e^x \left(6 x-10 x^2+2 x^3+8 x^4-8 x^5+2 x^6\right)\right) \log \left(\frac{-1+x^2}{x}\right)+e^x \left(3-5 x+x^2+4 x^3-4 x^4+x^5\right) \log ^2\left(\frac{-1+x^2}{x}\right)}{-36 x^4+24 x^5+8 x^6-16 x^7+24 x^8-8 x^9+4 x^{10}+\left(-72 x^3+48 x^4+16 x^5-32 x^6+48 x^7-16 x^8+8 x^9\right) \log \left(\frac{-1+x^2}{x}\right)+\left(-36 x^2+24 x^3+8 x^4-16 x^5+24 x^6-8 x^7+4 x^8\right) \log ^2\left(\frac{-1+x^2}{x}\right)} \, dx","Integrate[(-9*x^2 + 6*x^3 - 16*x^4 + 8*x^5 - 8*x^6 + 2*x^7 - x^8 + E^x*(3*x^2 - 5*x^3 + x^4 + 4*x^5 - 4*x^6 + x^7) + (-9*x^2 + 6*x^3 + 2*x^4 - 4*x^5 + 6*x^6 - 2*x^7 + x^8 + E^x*(6*x - 10*x^2 + 2*x^3 + 8*x^4 - 8*x^5 + 2*x^6))*Log[(-1 + x^2)/x] + E^x*(3 - 5*x + x^2 + 4*x^3 - 4*x^4 + x^5)*Log[(-1 + x^2)/x]^2)/(-36*x^4 + 24*x^5 + 8*x^6 - 16*x^7 + 24*x^8 - 8*x^9 + 4*x^10 + (-72*x^3 + 48*x^4 + 16*x^5 - 32*x^6 + 48*x^7 - 16*x^8 + 8*x^9)*Log[(-1 + x^2)/x] + (-36*x^2 + 24*x^3 + 8*x^4 - 16*x^5 + 24*x^6 - 8*x^7 + 4*x^8)*Log[(-1 + x^2)/x]^2),x]","\frac{1}{4} \left(\frac{e^x}{x^3-x^2+3 x}+\frac{x}{x+\log \left(x-\frac{1}{x}\right)}\right)","\frac{1}{4} \left(\frac{e^x}{\left(x^2-x+3\right) x}+\frac{x}{x+\log \left(x-\frac{1}{x}\right)}\right)",1,"(E^x/(3*x - x^2 + x^3) + x/(x + Log[-x^(-1) + x]))/4","A",1
5573,1,10,12,0.0014436,"\int -\frac{24}{-20+5 x} \, dx","Integrate[-24/(-20 + 5*x),x]","-\frac{24}{5} \log (20-5 x)","5-\frac{24}{5} (\log (x-4)-4)",1,"(-24*Log[20 - 5*x])/5","A",1
5574,1,23,22,0.1163775,"\int \frac{-32 e^9+32 e^{9+x} x+160 e^9 x \log (x)+80 e^{9+x} x^2 \log ^2(x)}{2 x+5 x^2 \log ^2(x)} \, dx","Integrate[(-32*E^9 + 32*E^(9 + x)*x + 160*E^9*x*Log[x] + 80*E^(9 + x)*x^2*Log[x]^2)/(2*x + 5*x^2*Log[x]^2),x]","16 e^9 \left(e^x+\log \left(5 x \log ^2(x)+2\right)-\log (x)\right)","16 e^9 \left(e^x+\log \left(\frac{2}{5 x}+\log ^2(x)\right)\right)",1,"16*E^9*(E^x - Log[x] + Log[2 + 5*x*Log[x]^2])","A",1
5575,1,12,12,0.0125078,"\int e^{2 e x+4 x^2} \left(1+2 e x+8 x^2\right) \, dx","Integrate[E^(2*E*x + 4*x^2)*(1 + 2*E*x + 8*x^2),x]","e^{2 x (2 x+e)} x","e^{2 x (2 x+e)} x",1,"E^(2*x*(E + 2*x))*x","A",1
5576,1,29,29,0.0674911,"\int \frac{33-48 x+18 x^2-2 x^3+e^5 \left(1-16 x+20 x^2-4 x^3\right)+e^{10} \left(2 x^2-2 x^3\right)+e^{x+x^2} \left(-5-7 x+2 x^2+e^5 \left(-1+x+2 x^2\right)\right)}{16-8 x+x^2+e^{10} x^2+e^5 \left(-8 x+2 x^2\right)} \, dx","Integrate[(33 - 48*x + 18*x^2 - 2*x^3 + E^5*(1 - 16*x + 20*x^2 - 4*x^3) + E^10*(2*x^2 - 2*x^3) + E^(x + x^2)*(-5 - 7*x + 2*x^2 + E^5*(-1 + x + 2*x^2)))/(16 - 8*x + x^2 + E^10*x^2 + E^5*(-8*x + 2*x^2)),x]","-x^2+\frac{e^{x^2+x}-1}{e^5 x+x-4}+2 x","-x^2+\frac{e^{x^2+x}-1}{e^5 x+x-4}+2 x",1,"2*x - x^2 + (-1 + E^(x + x^2))/(-4 + x + E^5*x)","A",1
5577,1,29,26,0.1410171,"\int \frac{e^{x^2} \left(x+2 x^3\right) \log (x)+e^{x^2} \left(-6-12 x^2+\left(1+2 x^2\right) \log (5)\right) \log ^2(x)+e^{\log ^2\left(\frac{x+(-6+\log (5)) \log (x)}{\log (x)}\right)} (-10+10 \log (x)) \log \left(\frac{x+(-6+\log (5)) \log (x)}{\log (x)}\right)}{5 x \log (x)+(-30+5 \log (5)) \log ^2(x)} \, dx","Integrate[(E^x^2*(x + 2*x^3)*Log[x] + E^x^2*(-6 - 12*x^2 + (1 + 2*x^2)*Log[5])*Log[x]^2 + E^Log[(x + (-6 + Log[5])*Log[x])/Log[x]]^2*(-10 + 10*Log[x])*Log[(x + (-6 + Log[5])*Log[x])/Log[x]])/(5*x*Log[x] + (-30 + 5*Log[5])*Log[x]^2),x]","\frac{1}{5} \left(e^{x^2} x+5 e^{\log ^2\left(\frac{x}{\log (x)}-6+\log (5)\right)}\right)","\frac{e^{x^2} x}{5}+e^{\log ^2\left(\frac{x}{\log (x)}-6+\log (5)\right)}",1,"(5*E^Log[-6 + Log[5] + x/Log[x]]^2 + E^x^2*x)/5","A",1
5578,1,19,19,0.0122847,"\int \frac{-1+4 e^6 x+4 e^{6+x} x}{e^5 x} \, dx","Integrate[(-1 + 4*E^6*x + 4*E^(6 + x)*x)/(E^5*x),x]","4 e x+4 e^{x+1}-\frac{\log (x)}{e^5}","4 e \left(x+e^x\right)-\frac{\log (4 x)}{e^5}-5",1,"4*E^(1 + x) + 4*E*x - Log[x]/E^5","A",1
5579,1,22,25,0.0222022,"\int \frac{e^{2+x} \left(-3 x^2+x^3\right) \log (3)+\left(e^4 (-12+4 x)+e^2 \left(-4 x^2+x^3\right)\right) \log (3)}{e^2 \left(-3 x^2+x^3\right)} \, dx","Integrate[(E^(2 + x)*(-3*x^2 + x^3)*Log[3] + (E^4*(-12 + 4*x) + E^2*(-4*x^2 + x^3))*Log[3])/(E^2*(-3*x^2 + x^3)),x]","\log (3) \left(x+e^x-\frac{4 e^2}{x}-\log (x-3)\right)","\log (3) \left(x+e^x-\frac{4 e^2}{x}-\log (3-x)-3\right)",1,"Log[3]*(E^x - (4*E^2)/x + x - Log[-3 + x])","A",1
5580,1,20,27,0.8054145,"\int \frac{-24-8 x+(-48-24 x) \log (x)+\left(27 x^3+18 x^4+3 x^5\right) \log ^2(x)}{\left(18 x^3+12 x^4+2 x^5\right) \log ^2(x)} \, dx","Integrate[(-24 - 8*x + (-48 - 24*x)*Log[x] + (27*x^3 + 18*x^4 + 3*x^5)*Log[x]^2)/((18*x^3 + 12*x^4 + 2*x^5)*Log[x]^2),x]","\frac{4}{(x+3) x^2 \log (x)}+\frac{3 x}{2}","\frac{1}{2} \left(\frac{8}{(x+3) x^2 \log (x)}-x-1\right)+2 x",1,"(3*x)/2 + 4/(x^2*(3 + x)*Log[x])","A",1
5581,1,25,25,0.2959809,"\int \frac{x^2+\left(-18 x-2 x^2\right) \log (9+x)+\left(18 x+2 x^2+(9+x) \log (3)\right) \log ^2(9+x)+e^{2 e^x+2 x} \left(18 x+2 x^2+(9+x) \log (3)\right) \log ^2(9+x)+e^{e^x+x} \left(-x^2+\left(18 x-7 x^2-x^3+e^x \left(-9 x^2-x^3\right)\right) \log (9+x)+\left(-36 x-4 x^2+(-18-2 x) \log (3)\right) \log ^2(9+x)\right)}{e^{e^x+x} (-18-2 x) \log ^2(9+x)+(9+x) \log ^2(9+x)+e^{2 e^x+2 x} (9+x) \log ^2(9+x)} \, dx","Integrate[(x^2 + (-18*x - 2*x^2)*Log[9 + x] + (18*x + 2*x^2 + (9 + x)*Log[3])*Log[9 + x]^2 + E^(2*E^x + 2*x)*(18*x + 2*x^2 + (9 + x)*Log[3])*Log[9 + x]^2 + E^(E^x + x)*(-x^2 + (18*x - 7*x^2 - x^3 + E^x*(-9*x^2 - x^3))*Log[9 + x] + (-36*x - 4*x^2 + (-18 - 2*x)*Log[3])*Log[9 + x]^2))/(E^(E^x + x)*(-18 - 2*x)*Log[9 + x]^2 + (9 + x)*Log[9 + x]^2 + E^(2*E^x + 2*x)*(9 + x)*Log[9 + x]^2),x]","x \left(x+\frac{x}{\left(e^{x+e^x}-1\right) \log (x+9)}+\log (3)\right)","x \left(x+\frac{x}{\left(e^{x+e^x}-1\right) \log (x+9)}+\log (3)\right)",1,"x*(x + Log[3] + x/((-1 + E^(E^x + x))*Log[9 + x]))","A",1
5582,1,40,31,0.1362055,"\int \frac{7 x-2 x^2-3 x^3+e^{20} \left(5 x-x^2-2 x^3\right)+\left(-1+e^{20} (-1+x)+x\right) \log (1-x)+\left(3 x-3 x^3+e^{20} \left(2 x-2 x^3\right)+\left(-1+x^2+e^{20} \left(-1+x^2\right)\right) \log (1-x)\right) \log \left(\frac{-3 x^2-2 e^{20} x^2+\left(x+e^{20} x\right) \log (1-x)}{1+x+e^{20} (1+x)}\right)}{3 x-3 x^3+e^{20} \left(2 x-2 x^3\right)+\left(-1+x^2+e^{20} \left(-1+x^2\right)\right) \log (1-x)} \, dx","Integrate[(7*x - 2*x^2 - 3*x^3 + E^20*(5*x - x^2 - 2*x^3) + (-1 + E^20*(-1 + x) + x)*Log[1 - x] + (3*x - 3*x^3 + E^20*(2*x - 2*x^3) + (-1 + x^2 + E^20*(-1 + x^2))*Log[1 - x])*Log[(-3*x^2 - 2*E^20*x^2 + (x + E^20*x)*Log[1 - x])/(1 + x + E^20*(1 + x))])/(3*x - 3*x^3 + E^20*(2*x - 2*x^3) + (-1 + x^2 + E^20*(-1 + x^2))*Log[1 - x]),x]","x \log \left(\frac{x \left(\left(1+e^{20}\right) \log (1-x)-\left(3+2 e^{20}\right) x\right)}{\left(1+e^{20}\right) (x+1)}\right)","x \log \left(\frac{x \left(\frac{x}{-1-e^{20}}-2 x+\log (1-x)\right)}{x+1}\right)",1,"x*Log[(x*(-((3 + 2*E^20)*x) + (1 + E^20)*Log[1 - x]))/((1 + E^20)*(1 + x))]","A",1
5583,1,23,21,0.0254146,"\int \frac{e^{\frac{2+30 x^2+15 x^3+x^5}{15 x^2}} \left(-4-30 x^2+15 x^3+3 x^5\right)}{15 x^5} \, dx","Integrate[(E^((2 + 30*x^2 + 15*x^3 + x^5)/(15*x^2))*(-4 - 30*x^2 + 15*x^3 + 3*x^5))/(15*x^5),x]","\frac{e^{\frac{x^3}{15}+\frac{2}{15 x^2}+x+2}}{x^2}","\frac{e^{\frac{x^5+2}{15 x^2}+x+2}}{x^2}",1,"E^(2 + 2/(15*x^2) + x + x^3/15)/x^2","A",1
5584,1,33,27,0.0647563,"\int \frac{e^{\frac{4 x+4 x^2+x^3+\left(4+4 x+x^2\right) \log (x)}{x^2}} \left(4 x^2-2 x^3+3 x^4+x^5+\left(-8 x-6 x^2-8 x^3-2 x^4\right) \log (x)+\left(4+16 x+9 x^2+x^3\right) \log ^2(x)+(-8-4 x) \log ^3(x)\right)}{3 x^3} \, dx","Integrate[(E^((4*x + 4*x^2 + x^3 + (4 + 4*x + x^2)*Log[x])/x^2)*(4*x^2 - 2*x^3 + 3*x^4 + x^5 + (-8*x - 6*x^2 - 8*x^3 - 2*x^4)*Log[x] + (4 + 16*x + 9*x^2 + x^3)*Log[x]^2 + (-8 - 4*x)*Log[x]^3))/(3*x^3),x]","\frac{1}{3} e^{x+\frac{4}{x}+4} x^{\frac{(x+2)^2}{x^2}} (x-\log (x))^2","\frac{1}{3} e^{\frac{(x+2)^2 (x+\log (x))}{x^2}} (x-\log (x))^2",1,"(E^(4 + 4/x + x)*x^((2 + x)^2/x^2)*(x - Log[x])^2)/3","A",1
5585,1,23,27,0.4740748,"\int \frac{(58-9 x) \log ^2(x)+e^{\frac{1}{\log (x)}} \left(-20+40 \log ^2(x)\right)}{100 e^{\frac{1}{\log (x)}} x \log ^2(x)+\left(145 x-15 x^2\right) \log ^2(x)} \, dx","Integrate[((58 - 9*x)*Log[x]^2 + E^Log[x]^(-1)*(-20 + 40*Log[x]^2))/(100*E^Log[x]^(-1)*x*Log[x]^2 + (145*x - 15*x^2)*Log[x]^2),x]","\frac{1}{5} \left(\log \left(-3 x+20 e^{\frac{1}{\log (x)}}+29\right)+2 \log (x)\right)","\frac{1}{5} \log \left(x^2 \left(x+4 \left(-x+5 e^{\frac{1}{\log (x)}}+1\right)+25\right)\right)",1,"(Log[29 + 20*E^Log[x]^(-1) - 3*x] + 2*Log[x])/5","A",1
5586,1,17,19,1.1954906,"\int \frac{8000-20 x-2 x^3+\left(800 x^2-2 x^3\right) \log (-2000+5 x)}{-40000+100 x+\left(8000 x^2-20 x^3\right) \log (-2000+5 x)+\left(-400 x^4+x^5\right) \log ^2(-2000+5 x)} \, dx","Integrate[(8000 - 20*x - 2*x^3 + (800*x^2 - 2*x^3)*Log[-2000 + 5*x])/(-40000 + 100*x + (8000*x^2 - 20*x^3)*Log[-2000 + 5*x] + (-400*x^4 + x^5)*Log[-2000 + 5*x]^2),x]","\frac{2 x}{x^2 \log (5 (x-400))-10}","\frac{x}{\frac{1}{2} x^2 \log (5 (x-400))-5}",1,"(2*x)/(-10 + x^2*Log[5*(-400 + x)])","A",1
5587,1,23,23,0.5491744,"\int \frac{16 x-2 x^4+\left(8 x+2 x^4\right) \log \left(\frac{4+x^3}{x^2}\right) \log \left(\frac{3}{11} \log \left(\frac{4+x^3}{x^2}\right)\right)+\left(-4-x^3\right) \log \left(\frac{4+x^3}{x^2}\right) \log ^3\left(\frac{3}{11} \log \left(\frac{4+x^3}{x^2}\right)\right)}{\left(4+x^3\right) \log \left(\frac{4+x^3}{x^2}\right) \log ^3\left(\frac{3}{11} \log \left(\frac{4+x^3}{x^2}\right)\right)} \, dx","Integrate[(16*x - 2*x^4 + (8*x + 2*x^4)*Log[(4 + x^3)/x^2]*Log[(3*Log[(4 + x^3)/x^2])/11] + (-4 - x^3)*Log[(4 + x^3)/x^2]*Log[(3*Log[(4 + x^3)/x^2])/11]^3)/((4 + x^3)*Log[(4 + x^3)/x^2]*Log[(3*Log[(4 + x^3)/x^2])/11]^3),x]","\frac{x^2}{\log ^2\left(\frac{3}{11} \log \left(\frac{4}{x^2}+x\right)\right)}-x","\frac{x^2}{\log ^2\left(\frac{3}{11} \log \left(\frac{4}{x^2}+x\right)\right)}-x",1,"-x + x^2/Log[(3*Log[4/x^2 + x])/11]^2","A",1
5588,1,12,17,0.0090134,"\int \frac{e^x (1-x)+5 x^2}{5 x^2} \, dx","Integrate[(E^x*(1 - x) + 5*x^2)/(5*x^2),x]","x-\frac{e^x}{5 x}","x-\frac{e^x}{5 x}+10+\log \left(\frac{14}{3}\right)",1,"-1/5*E^x/x + x","A",1
5589,1,24,25,0.1315784,"\int \frac{2 x+e^{e^{48+2 e^x+6 x} x} \left(2 x+e^{48+2 e^x+6 x} \left(-2 x^2-12 x^3-4 e^x x^3\right)\right)}{1+3 e^{e^{48+2 e^x+6 x} x}+3 e^{2 e^{48+2 e^x+6 x} x}+e^{3 e^{48+2 e^x+6 x} x}} \, dx","Integrate[(2*x + E^(E^(48 + 2*E^x + 6*x)*x)*(2*x + E^(48 + 2*E^x + 6*x)*(-2*x^2 - 12*x^3 - 4*E^x*x^3)))/(1 + 3*E^(E^(48 + 2*E^x + 6*x)*x) + 3*E^(2*E^(48 + 2*E^x + 6*x)*x) + E^(3*E^(48 + 2*E^x + 6*x)*x)),x]","\frac{x^2}{\left(e^{e^{6 x+2 e^x+48} x}+1\right)^2}","\frac{x^2}{\left(e^{e^{6 (x+8)+2 e^x} x}+1\right)^2}",1,"x^2/(1 + E^(E^(48 + 2*E^x + 6*x)*x))^2","A",1
5590,1,37,25,0.5439805,"\int \frac{\exp \left(\frac{-80-129 x+9 x^2-81 x^3}{16+26 x-3 x^2+18 x^3}\right) \left(16-192 x+279 x^2+432 x^3+81 x^4\right)}{256+832 x+580 x^2+420 x^3+945 x^4-108 x^5+324 x^6} \, dx","Integrate[(E^((-80 - 129*x + 9*x^2 - 81*x^3)/(16 + 26*x - 3*x^2 + 18*x^3))*(16 - 192*x + 279*x^2 + 432*x^3 + 81*x^4))/(256 + 832*x + 580*x^2 + 420*x^3 + 945*x^4 - 108*x^5 + 324*x^6),x]","\exp \left(\frac{-9 x^2-24 x-16}{2 \left(18 x^3-3 x^2+26 x+16\right)}-\frac{9}{2}\right)","e^{\frac{x}{\left(1-\frac{5}{1-3 x}\right)^2+2 x}-5}",1,"E^(-9/2 + (-16 - 24*x - 9*x^2)/(2*(16 + 26*x - 3*x^2 + 18*x^3)))","A",1
5591,1,26,29,5.0487479,"\int \frac{-10 x+5 \log (\log (2))+\left(\left(-20 x-4 x^2\right) \log \left(\frac{5+x}{x}\right)+(5+x) \log \left(\frac{5+x}{x}\right) \log (\log (2))\right) \log \left(\log \left(\frac{5+x}{x}\right)\right)+(150+30 x) \log \left(\frac{5+x}{x}\right) \log ^2\left(\log \left(\frac{5+x}{x}\right)\right)}{(25+5 x) \log \left(\frac{5+x}{x}\right) \log ^2\left(\log \left(\frac{5+x}{x}\right)\right)} \, dx","Integrate[(-10*x + 5*Log[Log[2]] + ((-20*x - 4*x^2)*Log[(5 + x)/x] + (5 + x)*Log[(5 + x)/x]*Log[Log[2]])*Log[Log[(5 + x)/x]] + (150 + 30*x)*Log[(5 + x)/x]*Log[Log[(5 + x)/x]]^2)/((25 + 5*x)*Log[(5 + x)/x]*Log[Log[(5 + x)/x]]^2),x]","\frac{1}{5} x \left(\frac{\log (\log (2))-2 x}{\log \left(\log \left(\frac{x+5}{x}\right)\right)}+30\right)","6 x-\frac{x (2 x-\log (\log (2)))}{5 \log \left(\log \left(\frac{5}{x}+1\right)\right)}",1,"(x*(30 + (-2*x + Log[Log[2]])/Log[Log[(5 + x)/x]]))/5","A",1
5592,1,94,21,0.0854608,"\int \frac{44+16 x^2+2 x^4+\left(32 x+8 x^3\right) \log (3)+\left(16+12 x^2\right) \log ^2(3)+8 x \log ^3(3)+2 \log ^4(3)+\left(-16 x+16 x^2-4 x^3+4 x^4+\left(-16+16 x-12 x^2+12 x^3\right) \log (3)+\left(-12 x+12 x^2\right) \log ^2(3)+(-4+4 x) \log ^3(3)\right) \log \left(1-2 x+x^2\right)}{-1+x} \, dx","Integrate[(44 + 16*x^2 + 2*x^4 + (32*x + 8*x^3)*Log[3] + (16 + 12*x^2)*Log[3]^2 + 8*x*Log[3]^3 + 2*Log[3]^4 + (-16*x + 16*x^2 - 4*x^3 + 4*x^4 + (-16 + 16*x - 12*x^2 + 12*x^3)*Log[3] + (-12*x + 12*x^2)*Log[3]^2 + (-4 + 4*x)*Log[3]^3)*Log[1 - 2*x + x^2])/(-1 + x),x]","2 \left(\frac{1}{6} (x-1) \left(3 x^3+x^2 (3+4 \log (27))+x \left(27+18 \log ^2(3)+4 \log (27)\right)+27+12 \log ^3(3)+18 \log ^2(3)+12 \log (81)+4 \log (27)\right) \log \left((x-1)^2\right)+\left(31+\log ^4(3)+4 \log ^3(3)+14 \log ^2(3)+5 \log (81)\right) \log (x-1)\right)","\left(\left((x+\log (3))^2+4\right)^2+6\right) \log \left((1-x)^2\right)",1,"2*((31 + 14*Log[3]^2 + 4*Log[3]^3 + Log[3]^4 + 5*Log[81])*Log[-1 + x] + ((-1 + x)*(27 + 3*x^3 + 18*Log[3]^2 + 12*Log[3]^3 + 4*Log[27] + x^2*(3 + 4*Log[27]) + x*(27 + 18*Log[3]^2 + 4*Log[27]) + 12*Log[81])*Log[(-1 + x)^2])/6)","B",1
5593,0,0,24,0.6410608,"\int \frac{2 e^x+e^{1+e^{-x} x} \left(x-x^2\right) \log (x) \log \left(125 e^2 \log ^2(x)\right)}{e^{1+x+e^{-x} x} x \log (x) \log \left(125 e^2 \log ^2(x)\right)+e^x x \log (x) \log \left(125 e^2 \log ^2(x)\right) \log \left(\log \left(125 e^2 \log ^2(x)\right)\right)} \, dx","Integrate[(2*E^x + E^(1 + x/E^x)*(x - x^2)*Log[x]*Log[125*E^2*Log[x]^2])/(E^(1 + x + x/E^x)*x*Log[x]*Log[125*E^2*Log[x]^2] + E^x*x*Log[x]*Log[125*E^2*Log[x]^2]*Log[Log[125*E^2*Log[x]^2]]),x]","\int \frac{2 e^x+e^{1+e^{-x} x} \left(x-x^2\right) \log (x) \log \left(125 e^2 \log ^2(x)\right)}{e^{1+x+e^{-x} x} x \log (x) \log \left(125 e^2 \log ^2(x)\right)+e^x x \log (x) \log \left(125 e^2 \log ^2(x)\right) \log \left(\log \left(125 e^2 \log ^2(x)\right)\right)} \, dx","\log \left(e^{e^{-x} x+1}+\log \left(\log \left(125 e^2 \log ^2(x)\right)\right)\right)",1,"Integrate[(2*E^x + E^(1 + x/E^x)*(x - x^2)*Log[x]*Log[125*E^2*Log[x]^2])/(E^(1 + x + x/E^x)*x*Log[x]*Log[125*E^2*Log[x]^2] + E^x*x*Log[x]*Log[125*E^2*Log[x]^2]*Log[Log[125*E^2*Log[x]^2]]), x]","F",-1
5594,1,22,22,0.0053778,"\int -\frac{5}{18-12 x+2 x^2+e^{16 e^{-8 e^9}} \left(9-6 x+x^2\right)} \, dx","Integrate[-5/(18 - 12*x + 2*x^2 + E^(16/E^(8*E^9))*(9 - 6*x + x^2)),x]","\frac{5}{\left(2+e^{16 e^{-8 e^9}}\right) (x-3)}","\frac{5}{\left(2+e^{16 e^{-8 e^9}}\right) (x-3)}",1,"5/((2 + E^(16/E^(8*E^9)))*(-3 + x))","A",1
5595,0,0,17,0.2816823,"\int \frac{24 x+2 \log (4)+e^{e^x} \left(6+e^x (6 x+\log (4))\right)}{12 x^2+2 x \log (4)+e^{e^x} (6 x+\log (4))} \, dx","Integrate[(24*x + 2*Log[4] + E^E^x*(6 + E^x*(6*x + Log[4])))/(12*x^2 + 2*x*Log[4] + E^E^x*(6*x + Log[4])),x]","\int \frac{24 x+2 \log (4)+e^{e^x} \left(6+e^x (6 x+\log (4))\right)}{12 x^2+2 x \log (4)+e^{e^x} (6 x+\log (4))} \, dx","\log \left(\left(2 x+e^{e^x}\right) (6 x+\log (4))\right)",1,"Integrate[(24*x + 2*Log[4] + E^E^x*(6 + E^x*(6*x + Log[4])))/(12*x^2 + 2*x*Log[4] + E^E^x*(6*x + Log[4])), x]","F",-1
5596,1,22,23,0.1648991,"\int \frac{-729 x+162 x^3+729 x \log (x)}{729 x^3-972 x^4+432 x^5-64 x^6+\left(4374 x^2-3888 x^3+864 x^4\right) \log (x)+\left(8748 x-3888 x^2\right) \log ^2(x)+5832 \log ^3(x)} \, dx","Integrate[(-729*x + 162*x^3 + 729*x*Log[x])/(729*x^3 - 972*x^4 + 432*x^5 - 64*x^6 + (4374*x^2 - 3888*x^3 + 864*x^4)*Log[x] + (8748*x - 3888*x^2)*Log[x]^2 + 5832*Log[x]^3),x]","\frac{81 x^2}{4 \left(-4 x^2+9 x+18 \log (x)\right)^2}","\frac{x^2}{\left(-\frac{8 x^2}{9}-2 x+4 (x+\log (x))\right)^2}",1,"(81*x^2)/(4*(9*x - 4*x^2 + 18*Log[x])^2)","A",1
5597,1,26,26,3.1032667,"\int \frac{\exp \left(-5+e^x+\frac{e^{-5+e^x} \left(4+x^3\right)}{3 x+3 x^2}\right) \left(-4-8 x+2 x^3+x^4+e^x \left(4 x+4 x^2+x^4+x^5\right)\right)}{3 x^2+6 x^3+3 x^4} \, dx","Integrate[(E^(-5 + E^x + (E^(-5 + E^x)*(4 + x^3))/(3*x + 3*x^2))*(-4 - 8*x + 2*x^3 + x^4 + E^x*(4*x + 4*x^2 + x^4 + x^5)))/(3*x^2 + 6*x^3 + 3*x^4),x]","e^{\frac{e^{e^x-5} \left(x^3+4\right)}{3 x (x+1)}}","e^{\frac{e^{e^x-5} \left(x^3+4\right)}{3 x (x+1)}}",1,"E^((E^(-5 + E^x)*(4 + x^3))/(3*x*(1 + x)))","A",1
5598,1,9,22,0.0060389,"\int \frac{17+12 x+x^2}{36+12 x+x^2} \, dx","Integrate[(17 + 12*x + x^2)/(36 + 12*x + x^2),x]","x+\frac{19}{x+6}","x+\frac{7-\log \left(e^{2 x}\right)}{x+6}+e^5+5",1,"x + 19/(6 + x)","A",1
5599,1,22,26,0.2759636,"\int \frac{x^3+3 e^2 \log (5)+\left(6 e^2 x^2-2 x^3-x \log (5)\right) \log (x)+\left(9 e^4 x-6 e^2 x^2+x^3\right) \log ^2(x)}{x^3+\left(6 e^2 x^2-2 x^3\right) \log (x)+\left(9 e^4 x-6 e^2 x^2+x^3\right) \log ^2(x)} \, dx","Integrate[(x^3 + 3*E^2*Log[5] + (6*E^2*x^2 - 2*x^3 - x*Log[5])*Log[x] + (9*E^4*x - 6*E^2*x^2 + x^3)*Log[x]^2)/(x^3 + (6*E^2*x^2 - 2*x^3)*Log[x] + (9*E^4*x - 6*E^2*x^2 + x^3)*Log[x]^2),x]","x-\frac{\log (5)}{x+x (-\log (x))+3 e^2 \log (x)}","x-\frac{\log (5)}{x+\left(3 e^2-x\right) \log (x)}-\log (5)",1,"x - Log[5]/(x + 3*E^2*Log[x] - x*Log[x])","A",1
5600,1,26,25,0.0988023,"\int \frac{e^{20 x+x \log \left(\frac{1-x \log \left(\frac{e^{-x} \log (2)}{x}\right)}{x}\right)} \left(-19-x-x^2+20 x \log \left(\frac{e^{-x} \log (2)}{x}\right)+\left(-1+x \log \left(\frac{e^{-x} \log (2)}{x}\right)\right) \log \left(\frac{1-x \log \left(\frac{e^{-x} \log (2)}{x}\right)}{x}\right)\right)}{-1+x \log \left(\frac{e^{-x} \log (2)}{x}\right)} \, dx","Integrate[(E^(20*x + x*Log[(1 - x*Log[Log[2]/(E^x*x)])/x])*(-19 - x - x^2 + 20*x*Log[Log[2]/(E^x*x)] + (-1 + x*Log[Log[2]/(E^x*x)])*Log[(1 - x*Log[Log[2]/(E^x*x)])/x]))/(-1 + x*Log[Log[2]/(E^x*x)]),x]","e^{20 x} \left(\frac{1}{x}-\log \left(\frac{e^{-x} \log (2)}{x}\right)\right)^x","e^{x \left(\log \left(\frac{1}{x}-\log \left(\frac{e^{-x} \log (2)}{x}\right)\right)+20\right)}",1,"E^(20*x)*(x^(-1) - Log[Log[2]/(E^x*x)])^x","A",1
5601,1,83,12,0.0237977,"\int \frac{(16+20 x) \log \left(\frac{1}{8} \left(8 x+5 x^2\right)\right)}{8 x+5 x^2} \, dx","Integrate[((16 + 20*x)*Log[(8*x + 5*x^2)/8])/(8*x + 5*x^2),x]","4 \left(\frac{1}{2} \log \left(\frac{5 x^2}{8}+x\right) \log (x)+\frac{1}{2} \log (5 x+8) \log \left(\frac{5 x^2}{8}+x\right)-\frac{1}{4} \log ^2(x)-\frac{1}{4} \log ^2(5 x+8)-\frac{1}{2} \log \left(\frac{1}{8} (5 x+8)\right) \log (x)-\frac{1}{2} \log (8) \log (x)\right)","\log ^2\left(\frac{5 x^2}{8}+x\right)",1,"4*(-1/2*(Log[8]*Log[x]) - Log[x]^2/4 - (Log[x]*Log[(8 + 5*x)/8])/2 - Log[8 + 5*x]^2/4 + (Log[x]*Log[x + (5*x^2)/8])/2 + (Log[8 + 5*x]*Log[x + (5*x^2)/8])/2)","B",1
5602,1,33,33,1.0360215,"\int \frac{e^{-x-\frac{5 x^2}{30+10 x+x^2}} \left(900 x-300 x^2-740 x^3-190 x^4-19 x^5-x^6+e^{\frac{5 x^2}{30+10 x+x^2}} \left(900+600 x+160 x^2+20 x^3+x^4\right)+e^{\frac{5 x^2}{30+10 x+x^2}} \left(-900 x-600 x^2-160 x^3-20 x^4-x^5\right) \log (x)\right)}{900 x+600 x^2+160 x^3+20 x^4+x^5} \, dx","Integrate[(E^(-x - (5*x^2)/(30 + 10*x + x^2))*(900*x - 300*x^2 - 740*x^3 - 190*x^4 - 19*x^5 - x^6 + E^((5*x^2)/(30 + 10*x + x^2))*(900 + 600*x + 160*x^2 + 20*x^3 + x^4) + E^((5*x^2)/(30 + 10*x + x^2))*(-900*x - 600*x^2 - 160*x^3 - 20*x^4 - x^5)*Log[x]))/(900*x + 600*x^2 + 160*x^3 + 20*x^4 + x^5),x]","e^{\frac{50 (x+3)}{x^2+10 x+30}-x-5} x+e^{-x} \log (x)","e^{-x} \left(e^{-\frac{x^2}{\frac{1}{5} (x+5)^2+1}} x+\log (x)\right)-4",1,"E^(-5 - x + (50*(3 + x))/(30 + 10*x + x^2))*x + Log[x]/E^x","A",1
5603,1,22,23,0.2937565,"\int \frac{-4 x^2+6 x^3+\left(-2 x^2+9 x^3\right) \log (x)+\left(2 x^2-6 x^3\right) \log ^2(x)+\left(\left(-14 x^2+21 x^3\right) \log (x)+\left(6 x^2-9 x^3\right) \log ^2(x)\right) \log \left(\left(-4 x+6 x^2\right) \log (x)\right)}{(-8+12 x) \log (x)+(8-12 x) \log ^2(x)+(-2+3 x) \log ^3(x)} \, dx","Integrate[(-4*x^2 + 6*x^3 + (-2*x^2 + 9*x^3)*Log[x] + (2*x^2 - 6*x^3)*Log[x]^2 + ((-14*x^2 + 21*x^3)*Log[x] + (6*x^2 - 9*x^3)*Log[x]^2)*Log[(-4*x + 6*x^2)*Log[x]])/((-8 + 12*x)*Log[x] + (8 - 12*x)*Log[x]^2 + (-2 + 3*x)*Log[x]^3),x]","-\frac{x^3 \log (2 x (3 x-2) \log (x))}{\log (x)-2}","\frac{x^3 \log (2 x (3 x-2) \log (x))}{2-\log (x)}",1,"-((x^3*Log[2*x*(-2 + 3*x)*Log[x]])/(-2 + Log[x]))","A",1
5604,1,24,17,0.154267,"\int \frac{29229056+446 \log (x)+(-14614529-223 \log (x)) \log \left(x^2\right)+\left(131072+2 \log (x)+(-65536-\log (x)) \log \left(x^2\right)\right) \log (65536+\log (x))}{(65536+\log (x)) \log ^2\left(x^2\right)} \, dx","Integrate[(29229056 + 446*Log[x] + (-14614529 - 223*Log[x])*Log[x^2] + (131072 + 2*Log[x] + (-65536 - Log[x])*Log[x^2])*Log[65536 + Log[x]])/((65536 + Log[x])*Log[x^2]^2),x]","-\frac{x \log (\log (x)+65536)}{\log \left(x^2\right)}-\frac{223 x}{\log \left(x^2\right)}","\frac{x (-\log (\log (x)+65536)-223)}{\log \left(x^2\right)}",1,"(-223*x)/Log[x^2] - (x*Log[65536 + Log[x]])/Log[x^2]","A",1
5605,1,22,23,0.703617,"\int e^{-2 e^x x} \left(\left(4 x-4 x^3\right) \log (x)+\left(4 x-8 x^3+e^x \left(-4 x^2-4 x^3+4 x^4+4 x^5\right)\right) \log ^2(x)\right) \, dx","Integrate[((4*x - 4*x^3)*Log[x] + (4*x - 8*x^3 + E^x*(-4*x^2 - 4*x^3 + 4*x^4 + 4*x^5))*Log[x]^2)/E^(2*E^x*x),x]","-2 e^{-2 e^x x} x^2 \left(x^2-1\right) \log ^2(x)","2 e^{-2 e^x x} \left(x^2-x^4\right) \log ^2(x)",1,"(-2*x^2*(-1 + x^2)*Log[x]^2)/E^(2*E^x*x)","A",1
5606,1,19,27,0.011403,"\int \frac{e^{\frac{1+x}{3 x}}+9 x^2}{9 x^2} \, dx","Integrate[(E^((1 + x)/(3*x)) + 9*x^2)/(9*x^2),x]","x-\frac{1}{3} e^{\frac{1}{3 x}+\frac{1}{3}}","x-\frac{1}{3} e^{\frac{x+1}{3 x}}+\log \left(\frac{8}{x}\right)+\log (x)-4",1,"-1/3*E^(1/3 + 1/(3*x)) + x","A",1
5607,1,43,24,0.0166581,"\int \frac{e^2 (-3+x)-4 x+\left(-2 e^2-4 x\right) \log (x)}{4 x^3 \log (2)} \, dx","Integrate[(E^2*(-3 + x) - 4*x + (-2*E^2 - 4*x)*Log[x])/(4*x^3*Log[2]),x]","\frac{\frac{2 e^2}{x^2}+\frac{e^2 \log (x)}{x^2}-\frac{e^2}{x}+\frac{8}{x}+\frac{4 \log (x)}{x}}{\log (16)}","\frac{\left(x+\frac{e^2}{4}\right) (-x+\log (x)+2)}{x^2 \log (2)}",1,"((2*E^2)/x^2 + 8/x - E^2/x + (E^2*Log[x])/x^2 + (4*Log[x])/x)/Log[16]","A",1
5608,1,28,28,0.6968036,"\int \frac{2+8 x+8 x^2+e^{e^{25}+e^{\frac{e^{-e+e^x}}{2+4 x}}+x} \left(2+8 x+8 x^2+e^{-e+e^x+\frac{e^{-e+e^x}}{2+4 x}} \left(-2+e^x (1+2 x)\right)\right)}{2+8 x+8 x^2} \, dx","Integrate[(2 + 8*x + 8*x^2 + E^(E^25 + E^(E^(-E + E^x)/(2 + 4*x)) + x)*(2 + 8*x + 8*x^2 + E^(-E + E^x + E^(-E + E^x)/(2 + 4*x))*(-2 + E^x*(1 + 2*x))))/(2 + 8*x + 8*x^2),x]","x+e^{x+e^{\frac{e^{e^x-e}}{4 x+2}}+e^{25}}","x+e^{x+e^{\frac{e^{e^x-e}}{4 x+2}}+e^{25}}",1,"E^(E^25 + E^(E^(-E + E^x)/(2 + 4*x)) + x) + x","A",1
5609,1,23,26,0.2626124,"\int \frac{15+150 x+125 x^2 \log (3)+(200+1000 x) \log (x)+(-100-1000 x) \log ^2(x)}{9+30 x \log (3)+25 x^2 \log ^2(3)+(-120-200 x \log (3)) \log ^2(x)+400 \log ^4(x)} \, dx","Integrate[(15 + 150*x + 125*x^2*Log[3] + (200 + 1000*x)*Log[x] + (-100 - 1000*x)*Log[x]^2)/(9 + 30*x*Log[3] + 25*x^2*Log[3]^2 + (-120 - 200*x*Log[3])*Log[x]^2 + 400*Log[x]^4),x]","\frac{5 x (5 x+1)}{-20 \log ^2(x)+5 x \log (3)+3}","\frac{x (25 x+5)}{5 \left(-4 \log ^2(x)+x \log (3)+\frac{3}{5}\right)}",1,"(5*x*(1 + 5*x))/(3 + 5*x*Log[3] - 20*Log[x]^2)","A",1
5610,1,29,26,0.3689467,"\int \frac{\exp \left(\frac{4 x+e^{2/3} \left(-6-6 x^2\right)+3 e^{2/3} \log \left(\log \left(x^2\right)\right)}{3 e^{2/3} x}\right) \left(2+\left(2-2 x^2\right) \log \left(x^2\right)-\log \left(x^2\right) \log \left(\log \left(x^2\right)\right)\right)}{x^2 \log \left(x^2\right)} \, dx","Integrate[(E^((4*x + E^(2/3)*(-6 - 6*x^2) + 3*E^(2/3)*Log[Log[x^2]])/(3*E^(2/3)*x))*(2 + (2 - 2*x^2)*Log[x^2] - Log[x^2]*Log[Log[x^2]]))/(x^2*Log[x^2]),x]","e^{-2 x-\frac{2}{x}+\frac{4}{3 e^{2/3}}} \sqrt[x]{\log \left(x^2\right)}","e^{\frac{\log \left(\log \left(x^2\right)\right)-2}{x}-2 x+\frac{4}{3 e^{2/3}}}",1,"E^(4/(3*E^(2/3)) - 2/x - 2*x)*Log[x^2]^x^(-1)","A",1
5611,1,12,16,0.0050824,"\int \left(-2+e^{169 x} (2+338 x)\right) \, dx","Integrate[-2 + E^(169*x)*(2 + 338*x),x]","2 e^{169 x} x-2 x","2 \left(e^{169 x} x-x+5\right)+2",1,"-2*x + 2*E^(169*x)*x","A",1
5612,1,29,24,0.0039667,"\int \frac{30+28 e^2+6 e^4+e^5 \left(10+6 e^2\right)}{x^4} \, dx","Integrate[(30 + 28*E^2 + 6*E^4 + E^5*(10 + 6*E^2))/x^4,x]","-\frac{30+28 e^2+6 e^4+10 e^5+6 e^7}{3 x^3}","2 \left(3+e^2+e^5\right) \left(1-\frac{\frac{5}{3}+e^2}{x^3}\right)",1,"-1/3*(30 + 28*E^2 + 6*E^4 + 10*E^5 + 6*E^7)/x^3","A",1
5613,1,43,23,3.2222153,"\int \frac{(4-x)^{\frac{5 e^x}{-3+20 e^x}} \left(-90 e^x+600 e^{2 x}+e^x (360-90 x) \log (4-x)\right)+(4-x)^{\frac{10 e^x}{-3+20 e^x}} \left(-30 e^x+200 e^{2 x}+e^x (120-30 x) \log (4-x)\right)}{-36+e^x (480-120 x)+9 x+e^{2 x} (-1600+400 x)} \, dx","Integrate[((4 - x)^((5*E^x)/(-3 + 20*E^x))*(-90*E^x + 600*E^(2*x) + E^x*(360 - 90*x)*Log[4 - x]) + (4 - x)^((10*E^x)/(-3 + 20*E^x))*(-30*E^x + 200*E^(2*x) + E^x*(120 - 30*x)*Log[4 - x]))/(-36 + E^x*(480 - 120*x) + 9*x + E^(2*x)*(-1600 + 400*x)),x]","\left((4-x)^{\frac{5 e^x}{20 e^x-3}}+6\right) (4-x)^{\frac{5 e^x}{20 e^x-3}}","\left((4-x)^{\frac{1}{4-\frac{3 e^{-x}}{5}}}+3\right)^2",1,"(6 + (4 - x)^((5*E^x)/(-3 + 20*E^x)))*(4 - x)^((5*E^x)/(-3 + 20*E^x))","A",1
5614,1,711,26,0.956372,"\int \frac{-524288-6029312 x-33816576 x^2-122421248 x^3-318636032 x^4-627376128 x^5-953286656 x^6-1107525632 x^7-919941120 x^8-385378304 x^9+294787072 x^{10}+834330624 x^{11}+1048039936 x^{12}+944780032 x^{13}+671757312 x^{14}+389319040 x^{15}+186202360 x^{16}+73676772 x^{17}+24022348 x^{18}+6392524 x^{19}+1366512 x^{20}+229024 x^{21}+28984 x^{22}+2604 x^{23}+148 x^{24}+4 x^{25}+\left(-16777216-155189248 x-692060160 x^2-1974468608 x^3-4028628992 x^4-6230900736 x^5-7583563776 x^6-7507476480 x^7-6314655744 x^8-4819566592 x^9-3588702208 x^{10}-2665648128 x^{11}-1876140032 x^{12}-1163537408 x^{13}-604044288 x^{14}-254886144 x^{15}-85735680 x^{16}-22563072 x^{17}-4534144 x^{18}-670720 x^{19}-68736 x^{20}-4352 x^{21}-128 x^{22}\right) \log ^2(2)+\left(-234881024-1719664640 x-5926551552 x^2-12821987328 x^3-19465764864 x^4-21851799552 x^5-18554290176 x^6-11922309120 x^7-5668208640 x^8-1961197568 x^9-692240384 x^{10}-598818816 x^{11}-628064256 x^{12}-463816704 x^{13}-235607040 x^{14}-83576832 x^{15}-20511744 x^{16}-3336192 x^{17}-324608 x^{18}-14336 x^{19}\right) \log ^4(2)+\left(-1879048192-10737418240 x-27279753216 x^2-41842376704 x^3-43780145152 x^4-32967229440 x^5-18098421760 x^6-6245318656 x^7+1830813696 x^8+6824132608 x^9+7933394944 x^{10}+5707530240 x^{11}+2731442176 x^{12}+872218624 x^{13}+179208192 x^{14}+21495808 x^{15}+1146880 x^{16}\right) \log ^6(2)+\left(-9395240960-41607495680 x-71068286976 x^2-66504884224 x^3-41641050112 x^4-17817403392 x^5-6165626880 x^6-12507414528 x^7-22866296832 x^8-20920139776 x^9-10779099136 x^{10}-3228303360 x^{11}-528220160 x^{12}-36700160 x^{13}\right) \log ^8(2)+\left(-30064771072-104152956928 x-96636764160 x^2-23353884672 x^3-13690208256 x^4-11475615744 x^5+31809601536 x^6+48570040320 x^7+26575110144 x^8+6660554752 x^9+645922816 x^{10}\right) \log ^{10}(2)+\left(-60129542144-169651208192 x-41875931136 x^2+84825604096 x^3-18253611008 x^4-87375740928 x^5-43419435008 x^6-6576668672 x^7\right) \log ^{12}(2)+\left(-68719476736-171798691840 x+25769803776 x^2+120259084288 x^3+36507222016 x^4\right) \log ^{14}(2)+(-34359738368-85899345920 x) \log ^{16}(2)}{131072 x^5+1114112 x^6+4456448 x^7+11141120 x^8+19496960 x^9+25346048 x^{10}+25346048 x^{11}+19914752 x^{12}+12446720 x^{13}+6223360 x^{14}+2489344 x^{15}+792064 x^{16}+198016 x^{17}+38080 x^{18}+5440 x^{19}+544 x^{20}+34 x^{21}+x^{22}} \, dx","Integrate[(-524288 - 6029312*x - 33816576*x^2 - 122421248*x^3 - 318636032*x^4 - 627376128*x^5 - 953286656*x^6 - 1107525632*x^7 - 919941120*x^8 - 385378304*x^9 + 294787072*x^10 + 834330624*x^11 + 1048039936*x^12 + 944780032*x^13 + 671757312*x^14 + 389319040*x^15 + 186202360*x^16 + 73676772*x^17 + 24022348*x^18 + 6392524*x^19 + 1366512*x^20 + 229024*x^21 + 28984*x^22 + 2604*x^23 + 148*x^24 + 4*x^25 + (-16777216 - 155189248*x - 692060160*x^2 - 1974468608*x^3 - 4028628992*x^4 - 6230900736*x^5 - 7583563776*x^6 - 7507476480*x^7 - 6314655744*x^8 - 4819566592*x^9 - 3588702208*x^10 - 2665648128*x^11 - 1876140032*x^12 - 1163537408*x^13 - 604044288*x^14 - 254886144*x^15 - 85735680*x^16 - 22563072*x^17 - 4534144*x^18 - 670720*x^19 - 68736*x^20 - 4352*x^21 - 128*x^22)*Log[2]^2 + (-234881024 - 1719664640*x - 5926551552*x^2 - 12821987328*x^3 - 19465764864*x^4 - 21851799552*x^5 - 18554290176*x^6 - 11922309120*x^7 - 5668208640*x^8 - 1961197568*x^9 - 692240384*x^10 - 598818816*x^11 - 628064256*x^12 - 463816704*x^13 - 235607040*x^14 - 83576832*x^15 - 20511744*x^16 - 3336192*x^17 - 324608*x^18 - 14336*x^19)*Log[2]^4 + (-1879048192 - 10737418240*x - 27279753216*x^2 - 41842376704*x^3 - 43780145152*x^4 - 32967229440*x^5 - 18098421760*x^6 - 6245318656*x^7 + 1830813696*x^8 + 6824132608*x^9 + 7933394944*x^10 + 5707530240*x^11 + 2731442176*x^12 + 872218624*x^13 + 179208192*x^14 + 21495808*x^15 + 1146880*x^16)*Log[2]^6 + (-9395240960 - 41607495680*x - 71068286976*x^2 - 66504884224*x^3 - 41641050112*x^4 - 17817403392*x^5 - 6165626880*x^6 - 12507414528*x^7 - 22866296832*x^8 - 20920139776*x^9 - 10779099136*x^10 - 3228303360*x^11 - 528220160*x^12 - 36700160*x^13)*Log[2]^8 + (-30064771072 - 104152956928*x - 96636764160*x^2 - 23353884672*x^3 - 13690208256*x^4 - 11475615744*x^5 + 31809601536*x^6 + 48570040320*x^7 + 26575110144*x^8 + 6660554752*x^9 + 645922816*x^10)*Log[2]^10 + (-60129542144 - 169651208192*x - 41875931136*x^2 + 84825604096*x^3 - 18253611008*x^4 - 87375740928*x^5 - 43419435008*x^6 - 6576668672*x^7)*Log[2]^12 + (-68719476736 - 171798691840*x + 25769803776*x^2 + 120259084288*x^3 + 36507222016*x^4)*Log[2]^14 + (-34359738368 - 85899345920*x)*Log[2]^16)/(131072*x^5 + 1114112*x^6 + 4456448*x^7 + 11141120*x^8 + 19496960*x^9 + 25346048*x^10 + 25346048*x^11 + 19914752*x^12 + 12446720*x^13 + 6223360*x^14 + 2489344*x^15 + 792064*x^16 + 198016*x^17 + 38080*x^18 + 5440*x^19 + 544*x^20 + 34*x^21 + x^22),x]","4 \left(\frac{x^4}{4}+\frac{\left(1+4 \log ^2(2)\right)^8}{4 x^4}+x^3-\frac{\left(1+4 \log ^2(2)\right)^6 \left(-1+32 \log ^4(2)+16 \log ^2(2)\right)}{x^3}+\frac{5 x^2}{2}+\frac{\left(1+4 \log ^2(2)\right)^4 \left(5+4352 \log ^8(2)+4160 \log ^6(2)+912 \log ^4(2)-52 \log ^2(2)\right)}{2 x^2}+\frac{134217728 \log ^{16}(2)}{(x+2)^{15}}+\frac{67108864 \log ^{16}(2)}{(x+2)^{16}}-4 x \left(8 \log ^2(2)-1\right)+\frac{33554432 \log ^{14}(2) \left(3+5 \log ^2(2)\right)}{(x+2)^{14}}+\frac{167772160 \log ^{14}(2) \left(1+\log ^2(2)\right)}{(x+2)^{13}}+\frac{1048576 \log ^{12}(2) \left(57+140 \log ^4(2)+176 \log ^2(2)\right)}{(x+2)^{12}}+\frac{1048576 \log ^{12}(2) \left(75+112 \log ^4(2)+160 \log ^2(2)\right)}{(x+2)^{11}}+\frac{131072 \log ^{10}(2) \left(135+672 \log ^6(2)+1040 \log ^4(2)+572 \log ^2(2)\right)}{(x+2)^{10}}+\frac{262144 \log ^{10}(2) \left(63+240 \log ^6(2)+392 \log ^4(2)+236 \log ^2(2)\right)}{(x+2)^9}+\frac{2048 \log ^8(2) \left(1323+21120 \log ^8(2)+35840 \log ^6(2)+22880 \log ^4(2)+6624 \log ^2(2)\right)}{(x+2)^8}+\frac{16384 \log ^8(2) \left(81+1760 \log ^8(2)+3072 \log ^6(2)+2044 \log ^4(2)+628 \log ^2(2)\right)}{(x+2)^7}+\frac{512 \log ^6(2) \left(405+36608 \log ^{10}(2)+65280 \log ^8(2)+44800 \log ^6(2)+14416 \log ^4(2)+2034 \log ^2(2)\right)}{(x+2)^6}+\frac{512 \log ^6(2) \left(-27+23296 \log ^{10}(2)+42240 \log ^8(2)+29696 \log ^6(2)+9920 \log ^4(2)+1506 \log ^2(2)\right)}{(x+2)^5}+\frac{16 \log ^4(2) \left(513+465920 \log ^{12}(2)+856064 \log ^{10}(2)+613632 \log ^8(2)+211456 \log ^6(2)+34120 \log ^4(2)+2160 \log ^2(2)\right)}{(x+2)^4}+\frac{16 \log ^4(2) \left(-351+286720 \log ^{12}(2)+532480 \log ^{10}(2)+387840 \log ^8(2)+137216 \log ^6(2)+23312 \log ^4(2)+1632 \log ^2(2)\right)}{(x+2)^3}-\frac{4 \left(1+4 \log ^2(2)\right)^2 \left(-1+26112 \log ^{12}(2)+36224 \log ^{10}(2)+17056 \log ^8(2)+2792 \log ^6(2)+44 \log ^4(2)+10 \log ^2(2)\right)}{x}+\frac{2 \log ^2(2) \left(81+1392640 \log ^{14}(2)+2609152 \log ^{12}(2)+1926144 \log ^{10}(2)+697088 \log ^8(2)+123776 \log ^6(2)+9456 \log ^4(2)+1188 \log ^2(2)\right)}{(x+2)^2}+\frac{8 \log ^2(2) \left(-27+208896 \log ^{14}(2)+394240 \log ^{12}(2)+294400 \log ^{10}(2)+108672 \log ^8(2)+20048 \log ^6(2)+1652 \log ^4(2)+54 \log ^2(2)\right)}{x+2}\right)","\left(\frac{\left(x-\frac{64 \log ^2(2)}{(2 x+4)^2}-1\right)^2}{x}+3\right)^4",1,"4*((5*x^2)/2 + x^3 + x^4/4 + (67108864*Log[2]^16)/(2 + x)^16 + (134217728*Log[2]^16)/(2 + x)^15 + (167772160*Log[2]^14*(1 + Log[2]^2))/(2 + x)^13 + (1 + 4*Log[2]^2)^8/(4*x^4) + (33554432*Log[2]^14*(3 + 5*Log[2]^2))/(2 + x)^14 - 4*x*(-1 + 8*Log[2]^2) - ((1 + 4*Log[2]^2)^6*(-1 + 16*Log[2]^2 + 32*Log[2]^4))/x^3 + (1048576*Log[2]^12*(75 + 160*Log[2]^2 + 112*Log[2]^4))/(2 + x)^11 + (1048576*Log[2]^12*(57 + 176*Log[2]^2 + 140*Log[2]^4))/(2 + x)^12 + (262144*Log[2]^10*(63 + 236*Log[2]^2 + 392*Log[2]^4 + 240*Log[2]^6))/(2 + x)^9 + (131072*Log[2]^10*(135 + 572*Log[2]^2 + 1040*Log[2]^4 + 672*Log[2]^6))/(2 + x)^10 + (16384*Log[2]^8*(81 + 628*Log[2]^2 + 2044*Log[2]^4 + 3072*Log[2]^6 + 1760*Log[2]^8))/(2 + x)^7 + ((1 + 4*Log[2]^2)^4*(5 - 52*Log[2]^2 + 912*Log[2]^4 + 4160*Log[2]^6 + 4352*Log[2]^8))/(2*x^2) + (2048*Log[2]^8*(1323 + 6624*Log[2]^2 + 22880*Log[2]^4 + 35840*Log[2]^6 + 21120*Log[2]^8))/(2 + x)^8 + (512*Log[2]^6*(-27 + 1506*Log[2]^2 + 9920*Log[2]^4 + 29696*Log[2]^6 + 42240*Log[2]^8 + 23296*Log[2]^10))/(2 + x)^5 + (512*Log[2]^6*(405 + 2034*Log[2]^2 + 14416*Log[2]^4 + 44800*Log[2]^6 + 65280*Log[2]^8 + 36608*Log[2]^10))/(2 + x)^6 - (4*(1 + 4*Log[2]^2)^2*(-1 + 10*Log[2]^2 + 44*Log[2]^4 + 2792*Log[2]^6 + 17056*Log[2]^8 + 36224*Log[2]^10 + 26112*Log[2]^12))/x + (16*Log[2]^4*(-351 + 1632*Log[2]^2 + 23312*Log[2]^4 + 137216*Log[2]^6 + 387840*Log[2]^8 + 532480*Log[2]^10 + 286720*Log[2]^12))/(2 + x)^3 + (16*Log[2]^4*(513 + 2160*Log[2]^2 + 34120*Log[2]^4 + 211456*Log[2]^6 + 613632*Log[2]^8 + 856064*Log[2]^10 + 465920*Log[2]^12))/(2 + x)^4 + (8*Log[2]^2*(-27 + 54*Log[2]^2 + 1652*Log[2]^4 + 20048*Log[2]^6 + 108672*Log[2]^8 + 294400*Log[2]^10 + 394240*Log[2]^12 + 208896*Log[2]^14))/(2 + x) + (2*Log[2]^2*(81 + 1188*Log[2]^2 + 9456*Log[2]^4 + 123776*Log[2]^6 + 697088*Log[2]^8 + 1926144*Log[2]^10 + 2609152*Log[2]^12 + 1392640*Log[2]^14))/(2 + x)^2)","B",1
5615,1,41,23,0.006229,"\int \frac{5+9 x+8 x^2-2 x^3+(5-x)^4 \left(-10 x^2-9 x^3+7 x^4\right)+\left(5 x-x^2\right) \log (x)}{-5 x+x^2} \, dx","Integrate[(5 + 9*x + 8*x^2 - 2*x^3 + (5 - x)^4*(-10*x^2 - 9*x^3 + 7*x^4) + (5*x - x^2)*Log[x])/(-5*x + x^2),x]","x^7-19 x^6+130 x^5-350 x^4+125 x^3+624 x^2-x-x \log (x)-\log (x)","(x+1) \left(x^2 (5-x)^4-x-\log (x)\right)",1,"-x + 624*x^2 + 125*x^3 - 350*x^4 + 130*x^5 - 19*x^6 + x^7 - Log[x] - x*Log[x]","A",1
5616,1,43,28,0.2890693,"\int \frac{7776-48 e^{\frac{5}{3} (-15+x \log (4))}+e^{\frac{4}{3} (-15+x \log (4))} (672-240 x)-14256 x+10368 x^2-3744 x^3+672 x^4-48 x^5+e^{-15+x \log (4)} \left(-3744+2688 x-480 x^2\right)+e^{\frac{2}{3} (-15+x \log (4))} \left(10368-11232 x+4032 x^2-480 x^3\right)+e^{\frac{1}{3} (-15+x \log (4))} \left(-14256+20736 x-11232 x^2+2688 x^3-240 x^4\right)+\left(31104-192 e^{\frac{5}{3} (-15+x \log (4))}-62208 x+46656 x^2-16704 x^3+2880 x^4-192 x^5+e^{\frac{4}{3} (-15+x \log (4))} (2688-960 x+64 x \log (4))+e^{-15+x \log (4)} \left(-14976+10944 x-1920 x^2+\left(-576 x+192 x^2\right) \log (4)\right)+e^{\frac{2}{3} (-15+x \log (4))} \left(41472-46656 x+16704 x^2-1920 x^3+\left(1728 x-1152 x^2+192 x^3\right) \log (4)\right)+e^{\frac{1}{3} (-15+x \log (4))} \left(-57024+88128 x-48384 x^2+11328 x^3-960 x^4+\left(-1728 x+1728 x^2-576 x^3+64 x^4\right) \log (4)\right)\right) \log (x)}{\left(-96 x^5+3 e^{\frac{5}{3} (-15+x \log (4))} x^5+240 x^6-240 x^7+120 x^8-30 x^9+3 x^{10}+e^{\frac{4}{3} (-15+x \log (4))} \left(-30 x^5+15 x^6\right)+e^{-15+x \log (4)} \left(120 x^5-120 x^6+30 x^7\right)+e^{\frac{2}{3} (-15+x \log (4))} \left(-240 x^5+360 x^6-180 x^7+30 x^8\right)+e^{\frac{1}{3} (-15+x \log (4))} \left(240 x^5-480 x^6+360 x^7-120 x^8+15 x^9\right)\right) \log ^2(x)} \, dx","Integrate[(7776 - 48*E^((5*(-15 + x*Log[4]))/3) + E^((4*(-15 + x*Log[4]))/3)*(672 - 240*x) - 14256*x + 10368*x^2 - 3744*x^3 + 672*x^4 - 48*x^5 + E^(-15 + x*Log[4])*(-3744 + 2688*x - 480*x^2) + E^((2*(-15 + x*Log[4]))/3)*(10368 - 11232*x + 4032*x^2 - 480*x^3) + E^((-15 + x*Log[4])/3)*(-14256 + 20736*x - 11232*x^2 + 2688*x^3 - 240*x^4) + (31104 - 192*E^((5*(-15 + x*Log[4]))/3) - 62208*x + 46656*x^2 - 16704*x^3 + 2880*x^4 - 192*x^5 + E^((4*(-15 + x*Log[4]))/3)*(2688 - 960*x + 64*x*Log[4]) + E^(-15 + x*Log[4])*(-14976 + 10944*x - 1920*x^2 + (-576*x + 192*x^2)*Log[4]) + E^((2*(-15 + x*Log[4]))/3)*(41472 - 46656*x + 16704*x^2 - 1920*x^3 + (1728*x - 1152*x^2 + 192*x^3)*Log[4]) + E^((-15 + x*Log[4])/3)*(-57024 + 88128*x - 48384*x^2 + 11328*x^3 - 960*x^4 + (-1728*x + 1728*x^2 - 576*x^3 + 64*x^4)*Log[4]))*Log[x])/((-96*x^5 + 3*E^((5*(-15 + x*Log[4]))/3)*x^5 + 240*x^6 - 240*x^7 + 120*x^8 - 30*x^9 + 3*x^10 + E^((4*(-15 + x*Log[4]))/3)*(-30*x^5 + 15*x^6) + E^(-15 + x*Log[4])*(120*x^5 - 120*x^6 + 30*x^7) + E^((2*(-15 + x*Log[4]))/3)*(-240*x^5 + 360*x^6 - 180*x^7 + 30*x^8) + E^((-15 + x*Log[4])/3)*(240*x^5 - 480*x^6 + 360*x^7 - 120*x^8 + 15*x^9))*Log[x]^2),x]","\frac{16 \left(e^5 (x-3)+2^{2 x/3}\right)^4}{\left(e^5 (x-2)+2^{2 x/3}\right)^4 x^4 \log (x)}","\frac{16}{\left(x+\frac{x}{x+e^{\frac{1}{3} x \log (4)-5}-3}\right)^4 \log (x)}",1,"(16*(2^((2*x)/3) + E^5*(-3 + x))^4)/((2^((2*x)/3) + E^5*(-2 + x))^4*x^4*Log[x])","A",1
5617,1,3,3,0.0001626,"\int e^x \, dx","Integrate[E^x,x]","e^x","e^x",1,"E^x","A",1
5618,1,25,27,0.3967453,"\int \frac{\left(8 x+4 x^2+\left(-2 x-x^2\right) \log (x)\right) \log (4+2 x)+\log \left(e^{2 e^3} (3-x)\right) \left(12 x-4 x^2+\left(-3 x+x^2\right) \log (x)+\left(-6-x+x^2\right) \log (4+2 x)\right)}{\left(-6 x-x^2+x^3\right) \log ^2\left(e^{2 e^3} (3-x)\right)} \, dx","Integrate[((8*x + 4*x^2 + (-2*x - x^2)*Log[x])*Log[4 + 2*x] + Log[E^(2*E^3)*(3 - x)]*(12*x - 4*x^2 + (-3*x + x^2)*Log[x] + (-6 - x + x^2)*Log[4 + 2*x]))/((-6*x - x^2 + x^3)*Log[E^(2*E^3)*(3 - x)]^2),x]","\frac{(\log (x)-4) \log (2 (x+2))}{\log (3-x)+2 e^3}","\frac{(\log (x)-4) \log (2 x+4)}{\log \left(e^{2 e^3} (3-x)\right)}",1,"((-4 + Log[x])*Log[2*(2 + x)])/(2*E^3 + Log[3 - x])","A",1
5619,1,82,40,0.4789205,"\int \frac{\exp \left(\frac{64 x^2+32 x^3+16 x^4+\left(32 x+16 x^2+8 x^3\right) \log (x)+\left(4+2 x+x^2\right) \log ^2(x)}{\left(32 x+16 x^2\right) (i \pi +\log (5-\log (5)))^2}\right) \left(32 x+96 x^2+80 x^3+68 x^4+16 x^5+\left(8+8 x+4 x^2+17 x^3+4 x^4\right) \log (x)+(-4-4 x) \log ^2(x)\right)}{\left(32 x^2+32 x^3+8 x^4\right) (i \pi +\log (5-\log (5)))^2} \, dx","Integrate[(E^((64*x^2 + 32*x^3 + 16*x^4 + (32*x + 16*x^2 + 8*x^3)*Log[x] + (4 + 2*x + x^2)*Log[x]^2)/((32*x + 16*x^2)*(I*Pi + Log[5 - Log[5]])^2))*(32*x + 96*x^2 + 80*x^3 + 68*x^4 + 16*x^5 + (8 + 8*x + 4*x^2 + 17*x^3 + 4*x^4)*Log[x] + (-4 - 4*x)*Log[x]^2))/((32*x^2 + 32*x^3 + 8*x^4)*(I*Pi + Log[5 - Log[5]])^2),x]","x^{-\frac{x^2+2 x+4}{2 (x+2) (\pi -i \log (5-\log (5)))^2}} \exp \left(-\frac{\left(x^2+2 x+4\right) \left(16 x^2+\log ^2(x)\right)}{16 x (x+2) (\pi -i \log (5-\log (5)))^2}\right)","\exp \left(\frac{\left(x+\frac{4}{x+2}\right) \left(x+\frac{\log (x)}{4}\right)^2}{x (\log (5-\log (5))+i \pi )^2}\right)",1,"1/(E^(((4 + 2*x + x^2)*(16*x^2 + Log[x]^2))/(16*x*(2 + x)*(Pi - I*Log[5 - Log[5]])^2))*x^((4 + 2*x + x^2)/(2*(2 + x)*(Pi - I*Log[5 - Log[5]])^2)))","B",1
5620,1,17,24,0.111274,"\int \frac{-5-e^x x^2}{-5 x-5 x^2+e^x x^2} \, dx","Integrate[(-5 - E^x*x^2)/(-5*x - 5*x^2 + E^x*x^2),x]","\log (x)-\log \left(-e^x x+5 x+5\right)","\frac{1}{2} \log \left(\frac{256 e^{20}}{\left(-e^x+\frac{5}{x}+5\right)^2}\right)",1,"Log[x] - Log[5 + 5*x - E^x*x]","A",1
5621,1,21,16,0.0126381,"\int \frac{20+34 e^2-68 e x+34 x^2}{5 e^2-10 e x+5 x^2} \, dx","Integrate[(20 + 34*E^2 - 68*E*x + 34*x^2)/(5*E^2 - 10*E*x + 5*x^2),x]","\frac{2}{5} \left(\frac{10}{e-x}-17 (e-x)\right)","\frac{34 x}{5}+\frac{4}{e-x}-1",1,"(2*(10/(E - x) - 17*(E - x)))/5","A",1
5622,1,10,20,0.0071507,"\int \frac{50+19 x+2 x^2}{25 x+10 x^2+x^3} \, dx","Integrate[(50 + 19*x + 2*x^2)/(25*x + 10*x^2 + x^3),x]","\frac{1}{x+5}+2 \log (x)","\log \left(\frac{2 x^2}{e}\right)-\frac{x}{5 (x+5)}",1,"(5 + x)^(-1) + 2*Log[x]","A",1
5623,1,31,33,0.2831531,"\int \frac{e^{-25/x} \left(25 e^6+2^{\frac{1}{x}} e^{4/x} x^{\frac{1}{x}} \left(-26 e^2+e^2 \log \left(2 e^4 x\right)\right)\right)}{x^2} \, dx","Integrate[(25*E^6 + 2^x^(-1)*E^(4/x)*x^x^(-1)*(-26*E^2 + E^2*Log[2*E^4*x]))/(E^(25/x)*x^2),x]","e^{6-\frac{25}{x}}-2^{\frac{1}{x}} e^{2-\frac{21}{x}} x^{\frac{1}{x}}","e^{2-\frac{25}{x}} \left(e^4-2^{\frac{1}{x}} e^{4/x} x^{\frac{1}{x}}\right)",1,"E^(6 - 25/x) - 2^x^(-1)*E^(2 - 21/x)*x^x^(-1)","A",1
5624,1,23,18,0.0269859,"\int \frac{-24 x^2+16 x^5-8 x^6+\left(-144 x^2+96 x^3+96 x^5-112 x^6+32 x^7\right) \log (x) \log (\log (x))+\left(8 x^5+\left(-72 x^2+96 x^5-56 x^6\right) \log (x) \log (\log (x))\right) \log (\log (\log (x)))+24 x^5 \log (x) \log (\log (x)) \log ^2(\log (\log (x)))}{\log (x) \log (\log (x))} \, dx","Integrate[(-24*x^2 + 16*x^5 - 8*x^6 + (-144*x^2 + 96*x^3 + 96*x^5 - 112*x^6 + 32*x^7)*Log[x]*Log[Log[x]] + (8*x^5 + (-72*x^2 + 96*x^5 - 56*x^6)*Log[x]*Log[Log[x]])*Log[Log[Log[x]]] + 24*x^5*Log[x]*Log[Log[x]]*Log[Log[Log[x]]]^2)/(Log[x]*Log[Log[x]]),x]","4 \left(x^4-2 x^3-x^3 \log (\log (\log (x)))+3\right)^2","\left(6-2 x^3 (-x+\log (\log (\log (x)))+2)\right)^2",1,"4*(3 - 2*x^3 + x^4 - x^3*Log[Log[Log[x]]])^2","A",1
5625,0,0,19,0.5705878,"\int \frac{e^4 x+e^4 \log (2)+625^{\frac{x}{e^4}} \left(5 e^4+5 \log (2) \log (625)\right)}{5^{1+\frac{4 x}{e^4}} e^4+e^4 x} \, dx","Integrate[(E^4*x + E^4*Log[2] + 625^(x/E^4)*(5*E^4 + 5*Log[2]*Log[625]))/(5^(1 + (4*x)/E^4)*E^4 + E^4*x),x]","\int \frac{e^4 x+e^4 \log (2)+625^{\frac{x}{e^4}} \left(5 e^4+5 \log (2) \log (625)\right)}{5^{1+\frac{4 x}{e^4}} e^4+e^4 x} \, dx","x+\log (2) \log \left(x+5^{\frac{4 x}{e^4}+1}\right)+5",1,"Integrate[(E^4*x + E^4*Log[2] + 625^(x/E^4)*(5*E^4 + 5*Log[2]*Log[625]))/(5^(1 + (4*x)/E^4)*E^4 + E^4*x), x]","F",-1
5626,1,9,13,0.0026064,"\int \frac{8+3 x}{4 x+x^2} \, dx","Integrate[(8 + 3*x)/(4*x + x^2),x]","2 \log (x)+\log (x+4)","\log (7 x (x (x+5)-x))",1,"2*Log[x] + Log[4 + x]","A",1
5627,1,32,26,0.1386328,"\int \frac{-x^2+e^x \left(3 x+3 x^2-3 x^4\right)+\left(3 x^2+2 x^3-x^4+e^x \left(-6 x-3 x^2-3 x^4\right)\right) \log (x)+\left(x+x^2-2 x^3+e^x \left(-3+3 x+6 x^2-6 x^3\right)\right) \log ^2(x)+\left(-x^2+e^x \left(3+3 x-3 x^2\right)\right) \log ^3(x)}{x^4+2 x^5+x^6+\left(2 x^3+4 x^4+2 x^5\right) \log (x)+\left(x^2+2 x^3+x^4\right) \log ^2(x)} \, dx","Integrate[(-x^2 + E^x*(3*x + 3*x^2 - 3*x^4) + (3*x^2 + 2*x^3 - x^4 + E^x*(-6*x - 3*x^2 - 3*x^4))*Log[x] + (x + x^2 - 2*x^3 + E^x*(-3 + 3*x + 6*x^2 - 6*x^3))*Log[x]^2 + (-x^2 + E^x*(3 + 3*x - 3*x^2))*Log[x]^3)/(x^4 + 2*x^5 + x^6 + (2*x^3 + 4*x^4 + 2*x^5)*Log[x] + (x^2 + 2*x^3 + x^4)*Log[x]^2),x]","\frac{\left(x-3 e^x\right) \left(x+\log ^2(x)+x \log (x)\right)}{x (x+1) (x+\log (x))}","\frac{\left(x-3 e^x\right) \left(\frac{x}{x+\log (x)}+\log (x)\right)}{x^2+x}",1,"((-3*E^x + x)*(x + x*Log[x] + Log[x]^2))/(x*(1 + x)*(x + Log[x]))","A",1
5628,1,30,25,0.011448,"\int \frac{x+e^5 \left(-9-23 x-7 x^2\right)+e^5 \left(-6 x-2 x^2\right) \log (x)}{e^5 x} \, dx","Integrate[(x + E^5*(-9 - 23*x - 7*x^2) + E^5*(-6*x - 2*x^2)*Log[x])/(E^5*x),x]","-3 x^2+x^2 (-\log (x))+\frac{x}{e^5}-17 x-6 x \log (x)-9 \log (x)","\frac{x}{e^5}+x-\left((x+3)^2 (\log (x)+3)\right)-16-\log ^2(2)",1,"-17*x + x/E^5 - 3*x^2 - 9*Log[x] - 6*x*Log[x] - x^2*Log[x]","A",1
5629,1,14,14,0.0046855,"\int -\frac{2 e^{\sqrt[5]{e}}}{-27 x+27 x \log (x)-9 x \log ^2(x)+x \log ^3(x)} \, dx","Integrate[(-2*E^E^(1/5))/(-27*x + 27*x*Log[x] - 9*x*Log[x]^2 + x*Log[x]^3),x]","\frac{e^{\sqrt[5]{e}}}{(\log (x)-3)^2}","\frac{e^{\sqrt[5]{e}}}{(\log (x)-3)^2}",1,"E^E^(1/5)/(-3 + Log[x])^2","A",1
5630,0,0,24,3.1817753,"\int \frac{5^{\frac{5}{\left(x+x^2 \log (5)\right) \log (x)}} e^{-4+5^{\frac{5}{\left(x+x^2 \log (5)\right) \log (x)}}} \left(-5 \log (5)-5 x \log ^2(5)+\left(-5 \log (5)-10 x \log ^2(5)\right) \log (x)\right)}{\left(x^2+2 x^3 \log (5)+x^4 \log ^2(5)\right) \log ^2(x)} \, dx","Integrate[(5^(5/((x + x^2*Log[5])*Log[x]))*E^(-4 + 5^(5/((x + x^2*Log[5])*Log[x])))*(-5*Log[5] - 5*x*Log[5]^2 + (-5*Log[5] - 10*x*Log[5]^2)*Log[x]))/((x^2 + 2*x^3*Log[5] + x^4*Log[5]^2)*Log[x]^2),x]","\int \frac{5^{\frac{5}{\left(x+x^2 \log (5)\right) \log (x)}} e^{-4+5^{\frac{5}{\left(x+x^2 \log (5)\right) \log (x)}}} \left(-5 \log (5)-5 x \log ^2(5)+\left(-5 \log (5)-10 x \log ^2(5)\right) \log (x)\right)}{\left(x^2+2 x^3 \log (5)+x^4 \log ^2(5)\right) \log ^2(x)} \, dx","e^{e^{\frac{5}{\left(x^2+\frac{x}{\log (5)}\right) \log (x)}}-4}",1,"Integrate[(5^(5/((x + x^2*Log[5])*Log[x]))*E^(-4 + 5^(5/((x + x^2*Log[5])*Log[x])))*(-5*Log[5] - 5*x*Log[5]^2 + (-5*Log[5] - 10*x*Log[5]^2)*Log[x]))/((x^2 + 2*x^3*Log[5] + x^4*Log[5]^2)*Log[x]^2), x]","F",-1
5631,1,15,17,0.0164441,"\int \frac{e^{\frac{x^2+\log (3)+x \log \left(\frac{1}{2 x^2}\right)}{x}} \left(-2 x+x^2-\log (3)\right)}{x^2} \, dx","Integrate[(E^((x^2 + Log[3] + x*Log[1/(2*x^2)])/x)*(-2*x + x^2 - Log[3]))/x^2,x]","\frac{3^{\frac{1}{x}} e^x}{2 x^2}","\frac{e^{x+\frac{\log (3)}{x}}}{2 x^2}",1,"(3^x^(-1)*E^x)/(2*x^2)","A",1
5632,1,19,21,0.4076372,"\int \frac{e^{\frac{4 x}{12+x^2 \log (3)}} \left(12-x^2 \log (3)\right)}{1152+192 x^2 \log (3)+8 x^4 \log ^2(3)} \, dx","Integrate[(E^((4*x)/(12 + x^2*Log[3]))*(12 - x^2*Log[3]))/(1152 + 192*x^2*Log[3] + 8*x^4*Log[3]^2),x]","\frac{1}{32} e^{\frac{4 x}{x^2 \log (3)+12}}","\frac{1}{32} e^{\frac{x}{\frac{1}{4} x^2 \log (3)+3}}",1,"E^((4*x)/(12 + x^2*Log[3]))/32","A",1
5633,1,12,12,0.008881,"\int \frac{32 e^x \log \left(261+4 e^x\right)}{261+4 e^x} \, dx","Integrate[(32*E^x*Log[261 + 4*E^x])/(261 + 4*E^x),x]","4 \log ^2\left(4 e^x+261\right)","4 \log ^2\left(4 e^x+261\right)",1,"4*Log[261 + 4*E^x]^2","A",1
5634,1,52,22,0.0311161,"\int \frac{\left(-8-24 x^2+e^3 \left(4+12 x^2\right)\right) \log ^2\left(e^{-2+3 x^2} x^2\right)^{-2+e^3}}{x \log \left(e^{-2+3 x^2} x^2\right)} \, dx","Integrate[((-8 - 24*x^2 + E^3*(4 + 12*x^2))*(Log[E^(-2 + 3*x^2)*x^2]^2)^(-2 + E^3))/(x*Log[E^(-2 + 3*x^2)*x^2]),x]","\frac{2 \left(e^3-2\right) \log ^2\left(e^{3 x^2-2} x^2\right)^{e^3}}{\left(2 e^3-4\right) \log ^4\left(e^{3 x^2-2} x^2\right)}","\log ^2\left(e^{3 x^2-2} x^2\right)^{e^3-2}",1,"(2*(-2 + E^3)*(Log[E^(-2 + 3*x^2)*x^2]^2)^E^3)/((-4 + 2*E^3)*Log[E^(-2 + 3*x^2)*x^2]^4)","B",1
5635,1,73,24,0.1016322,"\int \frac{e^{-x^2 \log (3)-\left(x-x^2\right) \log (3) \log (25)} \left(-3+\left(\left(-6 x-6 x^2\right) \log (3)+\left(-3+3 x+6 x^2\right) \log (3) \log (25)\right) \log (1+x)\right)}{(1+x) \log ^2(1+x)} \, dx","Integrate[(E^(-(x^2*Log[3]) - (x - x^2)*Log[3]*Log[25])*(-3 + ((-6*x - 6*x^2)*Log[3] + (-3 + 3*x + 6*x^2)*Log[3]*Log[25])*Log[1 + x]))/((1 + x)*Log[1 + x]^2),x]","\frac{3^{(x-1) (x (\log (25)-1)-1)} \left(x^2 \log (9) (\log (25)-1)+x (\log (3) \log (25)-\log (9))-\log (3) \log (25)\right)}{(x+1) \log (3) (2 x (\log (25)-1)-\log (25)) \log (x+1)}","\frac{3^{1-x (x+(1-x) \log (25))}}{\log (x+1)}",1,"(3^((-1 + x)*(-1 + x*(-1 + Log[25])))*(x^2*Log[9]*(-1 + Log[25]) - Log[3]*Log[25] + x*(-Log[9] + Log[3]*Log[25])))/((1 + x)*Log[3]*(2*x*(-1 + Log[25]) - Log[25])*Log[1 + x])","B",1
5636,1,43,32,0.4178562,"\int \frac{\left(-\log (2)+9 e^{3 x} \log (2)\right) \log (x)+\left(3 \log (2)-27 e^{3 x} \log (2)\right) \log (x) \log (\log (x))+\left(-3 \log (2)+27 e^{3 x} \log (2)\right) \log (x) \log ^2(\log (x))+\left(\log (2)-9 e^{3 x} \log (2)\right) \log (x) \log ^3(\log (x))+\exp \left(\frac{2 x}{\log (2)-2 \log (2) \log (\log (x))+\log (2) \log ^2(\log (x))}\right) \left(12 x+(6 x+3 \log (2)) \log (x)+(-6 x-9 \log (2)) \log (x) \log (\log (x))+9 \log (2) \log (x) \log ^2(\log (x))-3 \log (2) \log (x) \log ^3(\log (x))\right)}{-3 \log (2) \log (x)+9 \log (2) \log (x) \log (\log (x))-9 \log (2) \log (x) \log ^2(\log (x))+3 \log (2) \log (x) \log ^3(\log (x))} \, dx","Integrate[((-Log[2] + 9*E^(3*x)*Log[2])*Log[x] + (3*Log[2] - 27*E^(3*x)*Log[2])*Log[x]*Log[Log[x]] + (-3*Log[2] + 27*E^(3*x)*Log[2])*Log[x]*Log[Log[x]]^2 + (Log[2] - 9*E^(3*x)*Log[2])*Log[x]*Log[Log[x]]^3 + E^((2*x)/(Log[2] - 2*Log[2]*Log[Log[x]] + Log[2]*Log[Log[x]]^2))*(12*x + (6*x + 3*Log[2])*Log[x] + (-6*x - 9*Log[2])*Log[x]*Log[Log[x]] + 9*Log[2]*Log[x]*Log[Log[x]]^2 - 3*Log[2]*Log[x]*Log[Log[x]]^3))/(-3*Log[2]*Log[x] + 9*Log[2]*Log[x]*Log[Log[x]] - 9*Log[2]*Log[x]*Log[Log[x]]^2 + 3*Log[2]*Log[x]*Log[Log[x]]^3),x]","\frac{-3 x \log (2) e^{\frac{2 x}{\log (2) (\log (\log (x))-1)^2}}+x \log (2)-3 e^{3 x} \log (2)}{3 \log (2)}","x \left(\frac{1}{3}-e^{\frac{2 x}{\log (2) (\log (\log (x))-1)^2}}\right)-e^{3 x}",1,"(-3*E^(3*x)*Log[2] + x*Log[2] - 3*E^((2*x)/(Log[2]*(-1 + Log[Log[x]])^2))*x*Log[2])/(3*Log[2])","A",1
5637,1,21,21,0.0093596,"\int \frac{12+\log ^2\left(\frac{256+32 e+e^2+(-32-2 e) \log (3)+\log ^2(3)}{x^3}\right)}{x \log ^2\left(\frac{256+32 e+e^2+(-32-2 e) \log (3)+\log ^2(3)}{x^3}\right)} \, dx","Integrate[(12 + Log[(256 + 32*E + E^2 + (-32 - 2*E)*Log[3] + Log[3]^2)/x^3]^2)/(x*Log[(256 + 32*E + E^2 + (-32 - 2*E)*Log[3] + Log[3]^2)/x^3]^2),x]","\frac{4}{\log \left(\frac{(16+e-\log (3))^2}{x^3}\right)}+\log (x)","\frac{4}{\log \left(\frac{(-16-e+\log (3))^2}{x^3}\right)}+\log (x)",1,"Log[x] + 4/Log[(16 + E - Log[3])^2/x^3]","A",1
5638,1,33,25,0.0304734,"\int \frac{45+\left(72 x^2+16 x^3\right) \log ^2(2)+\left(15 x^4+4 x^5\right) \log ^4(2)+\log (6)}{225 x^2+240 x^4 \log ^2(2)+94 x^6 \log ^4(2)+16 x^8 \log ^6(2)+x^{10} \log ^8(2)+\left(-30 x-16 x^3 \log ^2(2)-2 x^5 \log ^4(2)\right) \log (6)+\log ^2(6)} \, dx","Integrate[(45 + (72*x^2 + 16*x^3)*Log[2]^2 + (15*x^4 + 4*x^5)*Log[2]^4 + Log[6])/(225*x^2 + 240*x^4*Log[2]^2 + 94*x^6*Log[2]^4 + 16*x^8*Log[2]^6 + x^10*Log[2]^8 + (-30*x - 16*x^3*Log[2]^2 - 2*x^5*Log[2]^4)*Log[6] + Log[6]^2),x]","\frac{-x-3}{x^5 \log ^4(2)+8 x^3 \log ^2(2)+15 x-\log (6)}","\frac{x+3}{-x \left(x^2 \log ^2(2)+4\right)^2+x+\log (6)}",1,"(-3 - x)/(15*x + 8*x^3*Log[2]^2 + x^5*Log[2]^4 - Log[6])","A",1
5639,1,22,29,0.2013509,"\int \frac{50 x^2+e^{\frac{3+2 x+x^2}{2 x}} \left(-12-3 x+2 x^2+x^3\right)}{32 x^2+16 x^3+2 x^4} \, dx","Integrate[(50*x^2 + E^((3 + 2*x + x^2)/(2*x))*(-12 - 3*x + 2*x^2 + x^3))/(32*x^2 + 16*x^3 + 2*x^4),x]","\frac{e^{\frac{1}{2} \left(x+\frac{3}{x}+2\right)}-25}{x+4}","\frac{e^{\frac{-x^2+2 x+3}{2 x}+x}-25}{x+4}",1,"(-25 + E^((2 + 3/x + x)/2))/(4 + x)","A",1
5640,1,25,23,0.0090951,"\int \frac{-240+64 x-40 x^2+16 x^3+5 x^4}{e^2 x^2 \left(25 x^2-10 x^3+x^4\right)} \, dx","Integrate[(-240 + 64*x - 40*x^2 + 16*x^3 + 5*x^4)/(E^2*x^2*(25*x^2 - 10*x^3 + x^4)),x]","-\frac{5 x^3+8 x^2+16}{e^2 (x-5) x^3}","\frac{\left(x+\frac{4}{x}\right)^2}{e^2 (5-x) x}",1,"-((16 + 8*x^2 + 5*x^3)/(E^2*(-5 + x)*x^3))","A",1
5641,1,25,27,0.1372632,"\int \frac{3 x-4 \exp \left(\frac{1}{4} \left(1+4 \log ^2\left(e^{\frac{1}{3} (-5-5 \log (2 x))} x\right)\right)\right) \log \left(e^{\frac{1}{3} (-5-5 \log (2 x))} x\right)}{3 x} \, dx","Integrate[(3*x - 4*E^((1 + 4*Log[E^((-5 - 5*Log[2*x])/3)*x]^2)/4)*Log[E^((-5 - 5*Log[2*x])/3)*x])/(3*x),x]","x+e^{\log ^2\left(x e^{-\frac{5}{3} (\log (2 x)+1)}\right)+\frac{1}{4}}","\exp \left(\log ^2\left(x e^{\frac{1}{3} (-5 \log (2 x)-5)}\right)+\frac{1}{4}\right)+x",1,"E^(1/4 + Log[x/E^((5*(1 + Log[2*x]))/3)]^2) + x","A",1
5642,1,26,26,0.1268489,"\int \frac{e^{\sqrt{\frac{200-25 \log \left(e^x x\right)}{x}}} \left(16+\sqrt{\frac{200-25 \log \left(e^x x\right)}{x}} \left(9+x-\log \left(e^x x\right)\right)-2 \log \left(e^x x\right)\right)}{-16 x^2+2 x^2 \log \left(e^x x\right)} \, dx","Integrate[(E^Sqrt[(200 - 25*Log[E^x*x])/x]*(16 + Sqrt[(200 - 25*Log[E^x*x])/x]*(9 + x - Log[E^x*x]) - 2*Log[E^x*x]))/(-16*x^2 + 2*x^2*Log[E^x*x]),x]","\frac{e^{5 \sqrt{\frac{8-\log \left(e^x x\right)}{x}}}}{x}","\frac{e^{5 \sqrt{\frac{8-\log \left(e^x x\right)}{x}}}}{x}",1,"E^(5*Sqrt[(8 - Log[E^x*x])/x])/x","A",1
5643,1,49,28,0.0446797,"\int \frac{-24-12 x+\log (4)+(18+6 x) \log \left(2 e^x x\right)-3 \log ^2\left(2 e^x x\right)}{2 x^2} \, dx","Integrate[(-24 - 12*x + Log[4] + (18 + 6*x)*Log[2*E^x*x] - 3*Log[2*E^x*x]^2)/(2*x^2),x]","\frac{6 x^2-6 x+3 \log ^2\left(2 e^x x\right)+6 x \log (x)-6 (x+2) \log \left(2 e^x x\right)+12-\log (4)}{2 x}","\frac{x+3 \left(2-\log \left(2 e^x x\right)\right)^2-\log (4)}{2 x}",1,"(12 - 6*x + 6*x^2 - Log[4] + 6*x*Log[x] - 6*(2 + x)*Log[2*E^x*x] + 3*Log[2*E^x*x]^2)/(2*x)","A",1
5644,1,16,16,0.4885099,"\int \frac{e^{-2 x+e^{-2 x} \left(4 e^{2 x}+x\right)} \left(e^{2 x}+9 x-18 x^2+\left(x-2 x^2\right) \log (x)\right)}{x} \, dx","Integrate[(E^(-2*x + (4*E^(2*x) + x)/E^(2*x))*(E^(2*x) + 9*x - 18*x^2 + (x - 2*x^2)*Log[x]))/x,x]","e^{e^{-2 x} x+4} (\log (x)+9)","e^{e^{-2 x} x+4} (\log (x)+9)",1,"E^(4 + x/E^(2*x))*(9 + Log[x])","A",1
5645,1,22,25,0.0515311,"\int \frac{6 e^{3 e^{4/x}} x+18 e^{2 e^{4/x}} x^2+6 x^4+e^{e^{4/x}} \left(-24 e^{4/x}-6 x+18 x^3\right)}{e^{3 e^{4/x}}+3 e^{2 e^{4/x}} x+3 e^{e^{4/x}} x^2+x^3} \, dx","Integrate[(6*E^(3*E^(4/x))*x + 18*E^(2*E^(4/x))*x^2 + 6*x^4 + E^E^(4/x)*(-24*E^(4/x) - 6*x + 18*x^3))/(E^(3*E^(4/x)) + 3*E^(2*E^(4/x))*x + 3*E^E^(4/x)*x^2 + x^3),x]","3 x^2 \left(1-\frac{1}{\left(x+e^{e^{4/x}}\right)^2}\right)","3 \left(-\frac{x^2}{\left(x+e^{e^{4/x}}\right)^2}+x^2+4\right)",1,"3*x^2*(1 - (E^E^(4/x) + x)^(-2))","A",1
5646,1,52,30,0.0905558,"\int \frac{-48 e^{2 x}-3 e^{2 e^x+2 x}-27 x^4+e^x \left(72 x-108 x^2\right)+e^{e^x} \left(24 e^{2 x}-12 e^{3 x}+18 e^x x^2\right)}{81 x^4+54 x^5+9 x^6+e^{2 e^x+2 x} \left(9+6 x+x^2\right)+e^{2 x} \left(256+128 x+16 x^2\right)+e^x \left(288 x^2+168 x^3+24 x^4\right)+e^{e^x} \left(e^{2 x} \left(-96-56 x-8 x^2\right)+e^x \left(-54 x^2-36 x^3-6 x^4\right)\right)} \, dx","Integrate[(-48*E^(2*x) - 3*E^(2*E^x + 2*x) - 27*x^4 + E^x*(72*x - 108*x^2) + E^E^x*(24*E^(2*x) - 12*E^(3*x) + 18*E^x*x^2))/(81*x^4 + 54*x^5 + 9*x^6 + E^(2*E^x + 2*x)*(9 + 6*x + x^2) + E^(2*x)*(256 + 128*x + 16*x^2) + E^x*(288*x^2 + 168*x^3 + 24*x^4) + E^E^x*(E^(2*x)*(-96 - 56*x - 8*x^2) + E^x*(-54*x^2 - 36*x^3 - 6*x^4))),x]","-\frac{3 \left(3 x^2+4 e^x-e^{x+e^x}\right)}{-3 (x+3) x^2+e^{x+e^x} (x+3)-4 e^x (x+4)}","\frac{3}{\frac{4}{3 e^{-x} x^2-e^{e^x}+4}+x+3}",1,"(-3*(4*E^x - E^(E^x + x) + 3*x^2))/(E^(E^x + x)*(3 + x) - 3*x^2*(3 + x) - 4*E^x*(4 + x))","A",1
5647,0,0,29,0.1431797,"\int \frac{\left(-30-12 x^2-6 x^3+6 x^4\right) \log ^2\left(\frac{5+2 x^2+x^3-x^4}{x^2}\right)+\log \left(\frac{2}{x}\right) \left(\left(60-6 x^3+12 x^4\right) \log \left(\frac{5+2 x^2+x^3-x^4}{x^2}\right)+\left(30+12 x^2+6 x^3-6 x^4\right) \log ^2\left(\frac{5+2 x^2+x^3-x^4}{x^2}\right)\right)}{\left(-5 x^3-2 x^5-x^6+x^7\right) \log ^3\left(\frac{2}{x}\right)} \, dx","Integrate[((-30 - 12*x^2 - 6*x^3 + 6*x^4)*Log[(5 + 2*x^2 + x^3 - x^4)/x^2]^2 + Log[2/x]*((60 - 6*x^3 + 12*x^4)*Log[(5 + 2*x^2 + x^3 - x^4)/x^2] + (30 + 12*x^2 + 6*x^3 - 6*x^4)*Log[(5 + 2*x^2 + x^3 - x^4)/x^2]^2))/((-5*x^3 - 2*x^5 - x^6 + x^7)*Log[2/x]^3),x]","\int \frac{\left(-30-12 x^2-6 x^3+6 x^4\right) \log ^2\left(\frac{5+2 x^2+x^3-x^4}{x^2}\right)+\log \left(\frac{2}{x}\right) \left(\left(60-6 x^3+12 x^4\right) \log \left(\frac{5+2 x^2+x^3-x^4}{x^2}\right)+\left(30+12 x^2+6 x^3-6 x^4\right) \log ^2\left(\frac{5+2 x^2+x^3-x^4}{x^2}\right)\right)}{\left(-5 x^3-2 x^5-x^6+x^7\right) \log ^3\left(\frac{2}{x}\right)} \, dx","\frac{3 \log ^2\left(-x^2+\frac{5}{x^2}+x+2\right)}{x^2 \log ^2\left(\frac{2}{x}\right)}",1,"Integrate[((-30 - 12*x^2 - 6*x^3 + 6*x^4)*Log[(5 + 2*x^2 + x^3 - x^4)/x^2]^2 + Log[2/x]*((60 - 6*x^3 + 12*x^4)*Log[(5 + 2*x^2 + x^3 - x^4)/x^2] + (30 + 12*x^2 + 6*x^3 - 6*x^4)*Log[(5 + 2*x^2 + x^3 - x^4)/x^2]^2))/((-5*x^3 - 2*x^5 - x^6 + x^7)*Log[2/x]^3), x]","F",-1
5648,1,23,19,0.6232889,"\int \frac{-3 e^{8 x-2 x \log (2)}+e^{4 x-x \log (2)} (-64+16 \log (2))}{256-96 e^{4 x-x \log (2)} x+9 e^{8 x-2 x \log (2)} x^2} \, dx","Integrate[(-3*E^(8*x - 2*x*Log[2]) + E^(4*x - x*Log[2])*(-64 + 16*Log[2]))/(256 - 96*E^(4*x - x*Log[2])*x + 9*E^(8*x - 2*x*Log[2])*x^2),x]","-\frac{e^{4 x}}{2^{x+4}-3 e^{4 x} x}","\frac{1}{3 x-16 e^{-x (4-\log (2))}}",1,"-(E^(4*x)/(2^(4 + x) - 3*E^(4*x)*x))","A",1
5649,0,0,26,14.5566788,"\int \frac{\exp \left(\frac{-7 x+e^{36+e^4+12 x^2+x^4+e^2 \left(-12-2 x^2\right)} x}{16+\log (x)}\right) \left(-105+e^{36+e^4+12 x^2+x^4+e^2 \left(-12-2 x^2\right)} \left(15+384 x^2-64 e^2 x^2+64 x^4\right)+\left(-7+e^{36+e^4+12 x^2+x^4+e^2 \left(-12-2 x^2\right)} \left(1+24 x^2-4 e^2 x^2+4 x^4\right)\right) \log (x)\right)}{256+32 \log (x)+\log ^2(x)} \, dx","Integrate[(E^((-7*x + E^(36 + E^4 + 12*x^2 + x^4 + E^2*(-12 - 2*x^2))*x)/(16 + Log[x]))*(-105 + E^(36 + E^4 + 12*x^2 + x^4 + E^2*(-12 - 2*x^2))*(15 + 384*x^2 - 64*E^2*x^2 + 64*x^4) + (-7 + E^(36 + E^4 + 12*x^2 + x^4 + E^2*(-12 - 2*x^2))*(1 + 24*x^2 - 4*E^2*x^2 + 4*x^4))*Log[x]))/(256 + 32*Log[x] + Log[x]^2),x]","\int \frac{\exp \left(\frac{-7 x+e^{36+e^4+12 x^2+x^4+e^2 \left(-12-2 x^2\right)} x}{16+\log (x)}\right) \left(-105+e^{36+e^4+12 x^2+x^4+e^2 \left(-12-2 x^2\right)} \left(15+384 x^2-64 e^2 x^2+64 x^4\right)+\left(-7+e^{36+e^4+12 x^2+x^4+e^2 \left(-12-2 x^2\right)} \left(1+24 x^2-4 e^2 x^2+4 x^4\right)\right) \log (x)\right)}{256+32 \log (x)+\log ^2(x)} \, dx","e^{\frac{\left(e^{\left(-x^2+e^2-6\right)^2}-7\right) x}{\log (x)+16}}",1,"Integrate[(E^((-7*x + E^(36 + E^4 + 12*x^2 + x^4 + E^2*(-12 - 2*x^2))*x)/(16 + Log[x]))*(-105 + E^(36 + E^4 + 12*x^2 + x^4 + E^2*(-12 - 2*x^2))*(15 + 384*x^2 - 64*E^2*x^2 + 64*x^4) + (-7 + E^(36 + E^4 + 12*x^2 + x^4 + E^2*(-12 - 2*x^2))*(1 + 24*x^2 - 4*E^2*x^2 + 4*x^4))*Log[x]))/(256 + 32*Log[x] + Log[x]^2), x]","F",-1
5650,1,15,13,0.244963,"\int \frac{632 x-2 x^2+\left(-2-632 x+x^2\right) \log \left(-2-632 x+x^2\right)}{\left(-2 x-632 x^2+x^3\right) \log \left(-2-632 x+x^2\right)} \, dx","Integrate[(632*x - 2*x^2 + (-2 - 632*x + x^2)*Log[-2 - 632*x + x^2])/((-2*x - 632*x^2 + x^3)*Log[-2 - 632*x + x^2]),x]","\log (x)-\log \left(\log \left(x^2-632 x-2\right)\right)","\log \left(\frac{x}{\log ((x-632) x-2)}\right)",1,"Log[x] - Log[Log[-2 - 632*x + x^2]]","A",1
5651,1,17,19,0.008368,"\int \frac{-4+4 x+5 e^{4+x} x}{5 x} \, dx","Integrate[(-4 + 4*x + 5*E^(4 + x)*x)/(5*x),x]","\frac{4 x}{5}+e^{x+4}-\frac{4 \log (x)}{5}","e^{x+4}+\frac{4}{5} (x-\log (4 x)+2)",1,"E^(4 + x) + (4*x)/5 - (4*Log[x])/5","A",1
5652,1,61,25,0.0156217,"\int \left(16+20 x+80 x^2-40 x^2 \log (5)+\left(320-40 x-120 x^2+\left(-120+60 x^2\right) \log (5)\right) \log (x)\right) \, dx","Integrate[16 + 20*x + 80*x^2 - 40*x^2*Log[5] + (320 - 40*x - 120*x^2 + (-120 + 60*x^2)*Log[5])*Log[x],x]","40 x^3+20 x^3 \log (5) \log (x)-40 x^3 \log (x)-20 x^3 \log (5)+20 x^2-20 x^2 \log (x)-304 x-120 x \log (5) \log (x)+320 x \log (x)+120 x \log (5)","4 x \left(4-5 \left(-\left(x^2-6\right) (\log (5)-2)+x-4\right) (\log (x)-1)\right)",1,"-304*x + 20*x^2 + 40*x^3 + 120*x*Log[5] - 20*x^3*Log[5] + 320*x*Log[x] - 20*x^2*Log[x] - 40*x^3*Log[x] - 120*x*Log[5]*Log[x] + 20*x^3*Log[5]*Log[x]","B",1
5653,1,18,18,0.4631337,"\int \frac{e^{\frac{256 x+16 e^{e^x} x}{25 \log ^2(2)}} \left(256+e^{e^x} \left(16+16 e^x x\right)\right)}{25 \log ^2(2)} \, dx","Integrate[(E^((256*x + 16*E^E^x*x)/(25*Log[2]^2))*(256 + E^E^x*(16 + 16*E^x*x)))/(25*Log[2]^2),x]","e^{\frac{16 \left(e^{e^x}+16\right) x}{25 \log ^2(2)}}","e^{\frac{16 \left(e^{e^x}+16\right) x}{25 \log ^2(2)}}",1,"E^((16*(16 + E^E^x)*x)/(25*Log[2]^2))","A",1
5654,1,30,25,0.075489,"\int \frac{-180+\left(120 e^x-180 x\right) \log \left(x^2\right)-90 \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)}{\left(\left(-4 e^x+3 x^2\right) \log \left(x^2\right)+3 x \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)\right) \log ^2\left(\frac{1}{16} \left(16 e^{2 x}-24 e^x x^2+9 x^4+\left(-24 e^x x+18 x^3\right) \log \left(\log \left(x^2\right)\right)+9 x^2 \log ^2\left(\log \left(x^2\right)\right)\right)\right)} \, dx","Integrate[(-180 + (120*E^x - 180*x)*Log[x^2] - 90*Log[x^2]*Log[Log[x^2]])/(((-4*E^x + 3*x^2)*Log[x^2] + 3*x*Log[x^2]*Log[Log[x^2]])*Log[(16*E^(2*x) - 24*E^x*x^2 + 9*x^4 + (-24*E^x*x + 18*x^3)*Log[Log[x^2]] + 9*x^2*Log[Log[x^2]]^2)/16]^2),x]","\frac{15}{\log \left(\frac{1}{16} \left(3 x^2+3 x \log \left(\log \left(x^2\right)\right)-4 e^x\right)^2\right)}","\frac{15}{\log \left(\left(e^x-\frac{3}{4} x \left(\log \left(\log \left(x^2\right)\right)+x\right)\right)^2\right)}+3",1,"15/Log[(-4*E^x + 3*x^2 + 3*x*Log[Log[x^2]])^2/16]","A",1
5655,1,33,29,1.0243225,"\int \frac{e^{\frac{1}{3} (-4-15 x)} \left(-75 \log ^2(x)+e^{\frac{2}{3} \left(-1+e^{\frac{x}{\log (x)}}\right)} \left(-75 \log ^2(x)+e^{\frac{x}{\log (x)}} (-10+10 \log (x))\right)\right)}{\log ^2(x)} \, dx","Integrate[(E^((-4 - 15*x)/3)*(-75*Log[x]^2 + E^((2*(-1 + E^(x/Log[x])))/3)*(-75*Log[x]^2 + E^(x/Log[x])*(-10 + 10*Log[x]))))/Log[x]^2,x]","15 e^{-5 x-\frac{4}{3}}+15 e^{-5 x+\frac{2}{3} e^{\frac{x}{\log (x)}}-2}","15 e^{-5 x-\frac{4}{3}} \left(e^{\frac{2}{3} \left(e^{\frac{x}{\log (x)}}-1\right)}+1\right)",1,"15*E^(-4/3 - 5*x) + 15*E^(-2 + (2*E^(x/Log[x]))/3 - 5*x)","A",1
5656,1,22,24,0.2405745,"\int \frac{\left(-250 x^2+50 x^3\right) \log (x) \log (3+x)+\left(375 x+50 x^2-25 x^3+\left(-750 x-250 x^2\right) \log (x)\right) \log ^2(3+x)}{\left(-54000+14400 x+4320 x^2-1728 x^3+144 x^4\right) \log ^2(x)} \, dx","Integrate[((-250*x^2 + 50*x^3)*Log[x]*Log[3 + x] + (375*x + 50*x^2 - 25*x^3 + (-750*x - 250*x^2)*Log[x])*Log[3 + x]^2)/((-54000 + 14400*x + 4320*x^2 - 1728*x^3 + 144*x^4)*Log[x]^2),x]","\frac{25 x^2 \log ^2(x+3)}{144 (x-5)^2 \log (x)}","\frac{25 x^2 \log ^2(x+3)}{144 (5-x)^2 \log (x)}",1,"(25*x^2*Log[3 + x]^2)/(144*(-5 + x)^2*Log[x])","A",1
5657,1,33,29,0.1906287,"\int \frac{\left(4 e^2 x+8 x^2+e^x \left(e^2 x+2 x^2\right)\right) \log \left(4 x+e^x x\right) \log \left(x \log \left(4 x+e^x x\right)\right)+e^{4-x} \log \left(x \log \left(4 x+e^x x\right)\right) \left(4 e^2+4 x+e^x \left(x+x^2+e^2 (1+x)\right)+\left(4 e^2+4 x+e^x \left(e^2+x\right)\right) \log \left(4 x+e^x x\right)+\left(4 x-4 e^2 x-4 x^2+e^x \left(x-e^2 x-x^2\right)\right) \log \left(4 x+e^x x\right) \log \left(x \log \left(4 x+e^x x\right)\right)\right)}{\left(4 x+e^x x\right) \log \left(4 x+e^x x\right) \log \left(x \log \left(4 x+e^x x\right)\right)} \, dx","Integrate[((4*E^2*x + 8*x^2 + E^x*(E^2*x + 2*x^2))*Log[4*x + E^x*x]*Log[x*Log[4*x + E^x*x]] + E^(4 - x)*Log[x*Log[4*x + E^x*x]]*(4*E^2 + 4*x + E^x*(x + x^2 + E^2*(1 + x)) + (4*E^2 + 4*x + E^x*(E^2 + x))*Log[4*x + E^x*x] + (4*x - 4*E^2*x - 4*x^2 + E^x*(x - E^2*x - x^2))*Log[4*x + E^x*x]*Log[x*Log[4*x + E^x*x]]))/((4*x + E^x*x)*Log[4*x + E^x*x]*Log[x*Log[4*x + E^x*x]]),x]","x^2+e^2 x+e^{4-x} \left(x+e^2\right) \log \left(x \log \left(\left(e^x+4\right) x\right)\right)","\left(x+e^2\right) \left(x+e^{4-x} \log \left(x \log \left(\left(e^x+4\right) x\right)\right)\right)+4",1,"E^2*x + x^2 + E^(4 - x)*(E^2 + x)*Log[x*Log[(4 + E^x)*x]]","A",1
5658,1,26,21,0.1450942,"\int \frac{\exp \left(\frac{216 e^3 x^2+e^2 \left(-864 x-432 x^2\right)+e \left(864+864 x+216 x^2\right)}{x^2+2 x^3+x^4+e^2 x^4+e \left(-2 x^3-2 x^4\right)}\right) \left(-432 e^4 x^3+e^2 \left(-4320 x-5184 x^2-1296 x^3\right)+e \left(1728+4320 x+2592 x^2+432 x^3\right)+e^3 \left(2592 x^2+1296 x^3\right)\right)}{-x^3-3 x^4-3 x^5-x^6+e^3 x^6+e^2 \left(-3 x^5-3 x^6\right)+e \left(3 x^4+6 x^5+3 x^6\right)} \, dx","Integrate[(E^((216*E^3*x^2 + E^2*(-864*x - 432*x^2) + E*(864 + 864*x + 216*x^2))/(x^2 + 2*x^3 + x^4 + E^2*x^4 + E*(-2*x^3 - 2*x^4)))*(-432*E^4*x^3 + E^2*(-4320*x - 5184*x^2 - 1296*x^3) + E*(1728 + 4320*x + 2592*x^2 + 432*x^3) + E^3*(2592*x^2 + 1296*x^3)))/(-x^3 - 3*x^4 - 3*x^5 - x^6 + E^3*x^6 + E^2*(-3*x^5 - 3*x^6) + E*(3*x^4 + 6*x^5 + 3*x^6)),x]","\exp \left(\frac{216 e ((e-1) x-2)^2}{x^2 ((e-1) x-1)^2}\right)","e^{\frac{216 e}{\left(\frac{x}{e x-x-2}+x\right)^2}}",1,"E^((216*E*(-2 + (-1 + E)*x)^2)/(x^2*(-1 + (-1 + E)*x)^2))","A",1
5659,1,28,28,0.3958284,"\int \frac{-7-8 e^{2 x^3}+16 x-8 x^2+(15-16 x) \log ^2(2)-8 \log ^4(2)+e^{x^3} \left(-15+16 x-3 x^3+16 \log ^2(2)\right)}{4+4 e^{2 x^3}-8 x+4 x^2+(-8+8 x) \log ^2(2)+4 \log ^4(2)+e^{x^3} \left(8-8 x-8 \log ^2(2)\right)} \, dx","Integrate[(-7 - 8*E^(2*x^3) + 16*x - 8*x^2 + (15 - 16*x)*Log[2]^2 - 8*Log[2]^4 + E^x^3*(-15 + 16*x - 3*x^3 + 16*Log[2]^2))/(4 + 4*E^(2*x^3) - 8*x + 4*x^2 + (-8 + 8*x)*Log[2]^2 + 4*Log[2]^4 + E^x^3*(8 - 8*x - 8*Log[2]^2)),x]","\frac{1}{4} \left(\frac{x}{e^{x^3}-x+1-\log ^2(2)}-8 x\right)","\frac{x}{4 \left(e^{x^3}-x+1-\log ^2(2)\right)}-2 x+3",1,"(-8*x + x/(1 + E^x^3 - x - Log[2]^2))/4","A",1
5660,1,27,28,0.0096374,"\int \frac{-2+2 x^4 \log ^2\left(\frac{1+200 \log (3)+8 \log (3) \log (5)}{40 \log (3)}\right)}{x^3} \, dx","Integrate[(-2 + 2*x^4*Log[(1 + 200*Log[3] + 8*Log[3]*Log[5])/(40*Log[3])]^2)/x^3,x]","\frac{1}{x^2}+x^2 \log ^2\left(5+\frac{1}{40 \log (3)}+\frac{\log (5)}{5}\right)","\left(x \log \left(5+\frac{1}{5} \left(\frac{1}{8 \log (3)}+\log (5)\right)\right)-\frac{1}{x}\right)^2",1,"x^(-2) + x^2*Log[5 + 1/(40*Log[3]) + Log[5]/5]^2","A",1
5661,1,22,28,0.2125281,"\int \frac{e^x (-1+x)-4 x^2 \log (3) \log ^3(x)+\left(e^x \left(4 x-4 x^2\right)-x^2 \log (3)\right) \log ^4(x)+e^x \left(-4 x^2+4 x^3\right) \log ^8(x)}{x^2-4 x^3 \log ^4(x)+4 x^4 \log ^8(x)} \, dx","Integrate[(E^x*(-1 + x) - 4*x^2*Log[3]*Log[x]^3 + (E^x*(4*x - 4*x^2) - x^2*Log[3])*Log[x]^4 + E^x*(-4*x^2 + 4*x^3)*Log[x]^8)/(x^2 - 4*x^3*Log[x]^4 + 4*x^4*Log[x]^8),x]","\frac{e^x}{x}+\frac{\log (3)}{4 x \log ^4(x)-2}","\frac{1}{2} \left(\frac{2 e^x}{x}-\frac{\log (3)}{1-2 x \log ^4(x)}\right)",1,"E^x/x + Log[3]/(-2 + 4*x*Log[x]^4)","A",1
5662,1,21,23,0.2962565,"\int \frac{3750000000 x^{16}+3250000000 x^{17}+1050000000 x^{18}+150000000 x^{19}+8000000 x^{20}+e^x \left(2500000000 x^{15}+1500000000 x^{16}+175000000 x^{17}-55000000 x^{18}-15000000 x^{19}-1000000 x^{20}\right)}{81 e^{5 x}+810 e^{4 x} x+3240 e^{3 x} x^2+6480 e^{2 x} x^3+6480 e^x x^4+2592 x^5} \, dx","Integrate[(3750000000*x^16 + 3250000000*x^17 + 1050000000*x^18 + 150000000*x^19 + 8000000*x^20 + E^x*(2500000000*x^15 + 1500000000*x^16 + 175000000*x^17 - 55000000*x^18 - 15000000*x^19 - 1000000*x^20))/(81*E^(5*x) + 810*E^(4*x)*x + 3240*E^(3*x)*x^2 + 6480*E^(2*x)*x^3 + 6480*E^x*x^4 + 2592*x^5),x]","\frac{250000 x^{16} (x+5)^4}{81 \left(2 x+e^x\right)^4}","\frac{250000 x^{12} (x+5)^4}{81 \left(\frac{e^x}{x}+2\right)^4}",1,"(250000*x^16*(5 + x)^4)/(81*(E^x + 2*x)^4)","A",1
5663,1,20,23,0.1825699,"\int \frac{-3 x^2+3 x^3 \log (x)+\left(-3 x^3 \log (x)+3 x^2 \log (x) \log (\log (x))\right) \log (-x+\log (\log (x)))+(-12 x \log (x)+12 \log (x) \log (\log (x))) \log ^2(-x+\log (\log (x)))}{\left(-x^3 \log (x)+x^2 \log (x) \log (\log (x))\right) \log ^2(-x+\log (\log (x)))} \, dx","Integrate[(-3*x^2 + 3*x^3*Log[x] + (-3*x^3*Log[x] + 3*x^2*Log[x]*Log[Log[x]])*Log[-x + Log[Log[x]]] + (-12*x*Log[x] + 12*Log[x]*Log[Log[x]])*Log[-x + Log[Log[x]]]^2)/((-(x^3*Log[x]) + x^2*Log[x]*Log[Log[x]])*Log[-x + Log[Log[x]]]^2),x]","3 \left(\frac{x}{\log (\log (\log (x))-x)}-\frac{4}{x}\right)","3 \left(\frac{x}{\log (\log (\log (x))-x)}-\frac{x+4}{x}\right)",1,"3*(-4/x + x/Log[-x + Log[Log[x]]])","A",1
5664,1,38,36,0.1031781,"\int \frac{10 x-15 x^2-18 x^3+21 x^4-2 x^5-4 x^6+x^7+e^x \left(-10 x+5 x^2+8 x^3-6 x^4+x^5\right)+\left(5 x^2-4 x^4+x^5\right) \log \left(\frac{1+x}{5-5 x+x^2}\right)}{5-30 x+41 x^2+15 x^3-12 x^4+17 x^5-21 x^6+6 x^7-4 x^8+x^9+e^{2 x} \left(5-4 x^2+x^3\right)+e^x \left(-10+30 x+8 x^2-16 x^3+6 x^4-8 x^5+2 x^6\right)+\left(10 x-30 x^2-8 x^3+16 x^4-6 x^5+8 x^6-2 x^7+e^x \left(-10 x+8 x^3-2 x^4\right)\right) \log \left(\frac{1+x}{5-5 x+x^2}\right)+\left(5 x^2-4 x^4+x^5\right) \log ^2\left(\frac{1+x}{5-5 x+x^2}\right)} \, dx","Integrate[(10*x - 15*x^2 - 18*x^3 + 21*x^4 - 2*x^5 - 4*x^6 + x^7 + E^x*(-10*x + 5*x^2 + 8*x^3 - 6*x^4 + x^5) + (5*x^2 - 4*x^4 + x^5)*Log[(1 + x)/(5 - 5*x + x^2)])/(5 - 30*x + 41*x^2 + 15*x^3 - 12*x^4 + 17*x^5 - 21*x^6 + 6*x^7 - 4*x^8 + x^9 + E^(2*x)*(5 - 4*x^2 + x^3) + E^x*(-10 + 30*x + 8*x^2 - 16*x^3 + 6*x^4 - 8*x^5 + 2*x^6) + (10*x - 30*x^2 - 8*x^3 + 16*x^4 - 6*x^5 + 8*x^6 - 2*x^7 + E^x*(-10*x + 8*x^3 - 2*x^4))*Log[(1 + x)/(5 - 5*x + x^2)] + (5*x^2 - 4*x^4 + x^5)*Log[(1 + x)/(5 - 5*x + x^2)]^2),x]","\frac{x^2}{-x^3+x \log \left(\frac{x+1}{x^2-5 x+5}\right)-3 x-e^x+1}","\frac{x}{\frac{-x^3-e^x+1}{x}+\log \left(\frac{x+1}{(x-5) x+5}\right)-3}",1,"x^2/(1 - E^x - 3*x - x^3 + x*Log[(1 + x)/(5 - 5*x + x^2)])","A",1
5665,1,25,34,0.0028277,"\int \frac{-4+(4+4 x) \log (3)}{-1+\log (3)} \, dx","Integrate[(-4 + (4 + 4*x)*Log[3])/(-1 + Log[3]),x]","\frac{4 \left(\frac{1}{2} x^2 \log (3)-x+x \log (3)\right)}{\log (3)-1}","2 \left(\log (3)-x \left(\frac{x^2}{x-x \log (3)}-x\right)\right)-4 (2-x)+5",1,"(4*(-x + x*Log[3] + (x^2*Log[3])/2))/(-1 + Log[3])","A",1
5666,1,9,16,0.0000679,"\int (-245+294 x) \, dx","Integrate[-245 + 294*x,x]","147 x^2-245 x","49 (-((-3 x-1) (x-2))+4+\log (5))",1,"-245*x + 147*x^2","A",1
5667,1,21,27,0.0257153,"\int \frac{12150-450 e^3+2025 x-27 x^3}{729 x^3+e^6 x^3+162 x^4+9 x^5+e^3 \left(-54 x^3-6 x^4\right)} \, dx","Integrate[(12150 - 450*E^3 + 2025*x - 27*x^3)/(729*x^3 + E^6*x^3 + 162*x^4 + 9*x^5 + E^3*(-54*x^3 - 6*x^4)),x]","-\frac{9 \left(x^2-25\right)}{x^2 \left(e^3-3 (x+9)\right)}","\frac{3 (5-x) (x+5)}{\left(-x+\frac{e^3}{3}-9\right) x^2}",1,"(-9*(-25 + x^2))/(x^2*(E^3 - 3*(9 + x)))","A",1
5668,1,27,28,0.0220965,"\int \frac{4-4 \log (x)+(2-2 \log (x)) \log \left(\frac{4 x \log (4)-\log (4) \log (x)}{3 x}\right)}{-4 x^2 \log ^8(5)+x \log ^8(5) \log (x)} \, dx","Integrate[(4 - 4*Log[x] + (2 - 2*Log[x])*Log[(4*x*Log[4] - Log[4]*Log[x])/(3*x)])/(-4*x^2*Log[5]^8 + x*Log[5]^8*Log[x]),x]","\frac{\left(\log \left(\frac{\log (4) (4 x-\log (x))}{3 x}\right)+2\right)^2}{\log ^8(5)}","\frac{\left(\log \left(\frac{\log (4) \left(x+\frac{1}{3} (x-\log (x))\right)}{x}\right)+2\right)^2}{\log ^8(5)}",1,"(2 + Log[(Log[4]*(4*x - Log[x]))/(3*x)])^2/Log[5]^8","A",1
5669,1,28,23,0.7291322,"\int \frac{10 e^x x-25 x^2+e^{2 x} \left(2 x+x^2\right)+\left(50 x+30 e^x x-25 x^2+e^{2 x} \left(6 x+3 x^2\right)\right) \log (x)+\left(20 e^x x+e^{2 x} \left(6 x+3 x^2\right)\right) \log ^2(x)+e^{2 x} \left(2 x+x^2\right) \log ^3(x)}{e^x+3 e^x \log (x)+3 e^x \log ^2(x)+e^x \log ^3(x)} \, dx","Integrate[(10*E^x*x - 25*x^2 + E^(2*x)*(2*x + x^2) + (50*x + 30*E^x*x - 25*x^2 + E^(2*x)*(6*x + 3*x^2))*Log[x] + (20*E^x*x + E^(2*x)*(6*x + 3*x^2))*Log[x]^2 + E^(2*x)*(2*x + x^2)*Log[x]^3)/(E^x + 3*E^x*Log[x] + 3*E^x*Log[x]^2 + E^x*Log[x]^3),x]","\frac{e^{-x} x^2 \left(e^x+e^x \log (x)+5\right)^2}{(\log (x)+1)^2}","e^{-x} \left(e^x x+\frac{5 x}{\log (x)+1}\right)^2",1,"(x^2*(5 + E^x + E^x*Log[x])^2)/(E^x*(1 + Log[x])^2)","A",1
5670,1,29,22,0.0142994,"\int \frac{40 x+e^x (20+20 x)+\left(-3-7 x^6\right) \log (25)}{\log (25)} \, dx","Integrate[(40*x + E^x*(20 + 20*x) + (-3 - 7*x^6)*Log[25])/Log[25],x]","\frac{x^7 (-\log (25))+20 x^2+20 e^x x-3 x \log (25)}{\log (25)}","x \left(-x^6+\frac{20 \left(x+e^x\right)}{\log (25)}-4\right)+x",1,"(20*E^x*x + 20*x^2 - 3*x*Log[25] - x^7*Log[25])/Log[25]","A",1
5671,1,19,19,0.0300116,"\int \frac{1}{3} e^{4+4 e^4+x-x^2} (1-2 x) \, dx","Integrate[(E^(4 + 4*E^4 + x - x^2)*(1 - 2*x))/3,x]","\frac{1}{3} e^{-x^2+x+4 e^4+4}","\frac{1}{3} e^{-x^2+x+4 e^4+4}",1,"E^(4 + 4*E^4 + x - x^2)/3","A",1
5672,1,17,19,0.067479,"\int \frac{5-x-10 \log (x) \log \left(-\frac{x}{-5+x}\right)}{\left(-5 x+x^2\right) \log (x)} \, dx","Integrate[(5 - x - 10*Log[x]*Log[-(x/(-5 + x))])/((-5*x + x^2)*Log[x]),x]","\log ^2\left(-\frac{x}{x-5}\right)-\log (\log (x))","\log ^2\left(\frac{x}{5-x}\right)-\log (\log (x))+4",1,"Log[-(x/(-5 + x))]^2 - Log[Log[x]]","A",1
5673,1,14,21,0.0103662,"\int e^{-\frac{9+e^2 (5+2 x)}{e^2}} (1-2 x) \, dx","Integrate[(1 - 2*x)/E^((9 + E^2*(5 + 2*x))/E^2),x]","e^{-2 x-\frac{9}{e^2}-5} x","e^{-2 x-\frac{9}{e^2}-5} x+\frac{4}{e^2}+2",1,"E^(-5 - 9/E^2 - 2*x)*x","A",1
5674,1,3,6,0.0000567,"\int 2 x \, dx","Integrate[2*x,x]","x^2","x^2+\log (3)",1,"x^2","A",1
5675,1,32,32,0.3930992,"\int \frac{1}{100} \left(25+50 x+\left(50 x-50 x^2-4 e^{10-2 x} x^2\right) \log \left(e^{\frac{1}{25} \left(e^{10-2 x}-25 x\right)} x\right)+50 x \log ^2\left(e^{\frac{1}{25} \left(e^{10-2 x}-25 x\right)} x\right)\right) \, dx","Integrate[(25 + 50*x + (50*x - 50*x^2 - 4*E^(10 - 2*x)*x^2)*Log[E^((E^(10 - 2*x) - 25*x)/25)*x] + 50*x*Log[E^((E^(10 - 2*x) - 25*x)/25)*x]^2)/100,x]","\frac{1}{4} x \left(x+x \log ^2\left(e^{\frac{1}{25} e^{10-2 x}-x} x\right)+1\right)","\frac{1}{4} x \left(x+x \log ^2\left(e^{\frac{1}{25} e^{10-2 x}-x} x\right)+1\right)",1,"(x*(1 + x + x*Log[E^(E^(10 - 2*x)/25 - x)*x]^2))/4","A",1
5676,1,20,25,0.1576856,"\int \frac{-80+320 x-128 x^3-512 x^5+\left(96 x^2+384 x^4\right) \log (x)+\left(-24 x-96 x^3\right) \log ^2(x)+\left(2+8 x^2\right) \log ^3(x)}{-64 x^4+48 x^3 \log (x)-12 x^2 \log ^2(x)+x \log ^3(x)} \, dx","Integrate[(-80 + 320*x - 128*x^3 - 512*x^5 + (96*x^2 + 384*x^4)*Log[x] + (-24*x - 96*x^3)*Log[x]^2 + (2 + 8*x^2)*Log[x]^3)/(-64*x^4 + 48*x^3*Log[x] - 12*x^2*Log[x]^2 + x*Log[x]^3),x]","4 x^2+2 \log (x)+\frac{40}{(\log (x)-4 x)^2}","2 \left(2 x^2+\log (x)+\frac{5}{\left(2 x-\frac{\log (x)}{2}\right)^2}-1\right)",1,"4*x^2 + 2*Log[x] + 40/(-4*x + Log[x])^2","A",1
5677,1,30,24,0.0452371,"\int \frac{9+e^{2 x} \left(1+e^4-e^9\right)+6 x+x^2+e^9 \left(-9-6 x-x^2\right)+e^4 \left(13+6 x+x^2\right)+e^x \left(6+e^9 (-6-2 x)+2 x+e^4 (10+2 x)\right)}{e^{4+2 x}+e^{4+x} (6+2 x)+e^4 \left(9+6 x+x^2\right)} \, dx","Integrate[(9 + E^(2*x)*(1 + E^4 - E^9) + 6*x + x^2 + E^9*(-9 - 6*x - x^2) + E^4*(13 + 6*x + x^2) + E^x*(6 + E^9*(-6 - 2*x) + 2*x + E^4*(10 + 2*x)))/(E^(4 + 2*x) + E^(4 + x)*(6 + 2*x) + E^4*(9 + 6*x + x^2)),x]","\frac{\left(1+e^4-e^9\right) x-\frac{4 e^4}{x+e^x+3}}{e^4}","-e^5 x+\frac{x}{e^4}+x-\frac{4}{x+e^x+3}+1",1,"((1 + E^4 - E^9)*x - (4*E^4)/(3 + E^x + x))/E^4","A",1
5678,1,22,29,0.2719366,"\int \frac{e^{-2 x^2+2 x^3+e^x \left(x^2-x^3\right)} \left(4+16 x^2-24 x^3+e^x \left(-8 x^2+8 x^3+4 x^4\right)\right)}{3 x^2} \, dx","Integrate[(E^(-2*x^2 + 2*x^3 + E^x*(x^2 - x^3))*(4 + 16*x^2 - 24*x^3 + E^x*(-8*x^2 + 8*x^3 + 4*x^4)))/(3*x^2),x]","-\frac{4 e^{-\left(\left(e^x-2\right) (x-1) x^2\right)}}{3 x}","\frac{4}{3} \left(1-\frac{e^{(1-x) x \left(e^x x-2 x\right)}}{x}\right)",1,"-4/(3*E^((-2 + E^x)*(-1 + x)*x^2)*x)","A",1
5679,1,27,16,0.0447298,"\int \frac{x+\left(-5+19 x+4 x^2\right) \log (5+x)+(5+x) \log (5+x) \log (\log (5+x))}{(5+x) \log (5+x)} \, dx","Integrate[(x + (-5 + 19*x + 4*x^2)*Log[5 + x] + (5 + x)*Log[5 + x]*Log[Log[5 + x]])/((5 + x)*Log[5 + x]),x]","-\text{Ei}(\log (x+5))+\text{li}(x+5)+2 x^2-x+x \log (\log (x+5))","-x+x (2 x+\log (\log (x+5)))+4",1,"-x + 2*x^2 - ExpIntegralEi[Log[5 + x]] + x*Log[Log[5 + x]] + LogIntegral[5 + x]","C",1
5680,1,25,18,0.0352357,"\int \left(8+16 x+e^{2 x} \left(88+16 e^2+32 x+16 x^2\right)\right) \, dx","Integrate[8 + 16*x + E^(2*x)*(88 + 16*E^2 + 32*x + 16*x^2),x]","8 x^2+8 e^{2 x} \left(x^2+x+e^2+5\right)+8 x","8 \left(e^{2 x}+1\right) \left(x^2+x+e^2+5\right)",1,"8*x + 8*x^2 + 8*E^(2*x)*(5 + E^2 + x + x^2)","A",1
5681,1,128,31,0.1389639,"\int \frac{-45 x^3+5 x^4+x^5+\left(65 x^2-10 x^3-x^4\right) \log (-4+x)+\left(-20 x+5 x^2\right) \log ^2(-4+x)}{e^8 \left(-4000-1400 x+120 x^2+88 x^3+8 x^4\right)} \, dx","Integrate[(-45*x^3 + 5*x^4 + x^5 + (65*x^2 - 10*x^3 - x^4)*Log[-4 + x] + (-20*x + 5*x^2)*Log[-4 + x]^2)/(E^8*(-4000 - 1400*x + 120*x^2 + 88*x^3 + 8*x^4)),x]","\frac{3 x^4-225 x^2+3 x^2 \log ^2(x-4)+50 x^2 \log \left(\frac{x+5}{9}\right)-50 x^2 \log (x+5)-2 \left(3 x^3+25 x^2+250 x+625\right) \log (x-4)-2250 x+500 x \log \left(\frac{x+5}{9}\right)-500 x \log (x+5)+50 (x+5)^2 \log (4-x)+1250 \log \left(\frac{x+5}{9}\right)-1250 \log (x+5)-5625}{48 e^8 (x+5)^2}","\frac{x^2 \left(\frac{x}{2}-\frac{1}{2} \log (x-4)\right)^2}{4 e^8 (x+5)^2}",1,"(-5625 - 2250*x - 225*x^2 + 3*x^4 + 50*(5 + x)^2*Log[4 - x] - 2*(625 + 250*x + 25*x^2 + 3*x^3)*Log[-4 + x] + 3*x^2*Log[-4 + x]^2 + 1250*Log[(5 + x)/9] + 500*x*Log[(5 + x)/9] + 50*x^2*Log[(5 + x)/9] - 1250*Log[5 + x] - 500*x*Log[5 + x] - 50*x^2*Log[5 + x])/(48*E^8*(5 + x)^2)","B",1
5682,1,11,23,0.0045192,"\int \left(e^{-16+x}-8 x\right) \, dx","Integrate[E^(-16 + x) - 8*x,x]","e^{x-16}-4 x^2","-4 x^2+e^{x-16}-4 \left(1+e^4-\log (\log (2))\right)",1,"E^(-16 + x) - 4*x^2","A",1
5683,1,45,26,0.0216435,"\int \frac{-e^3 x^2-x^3+\left(3 e^3 x^2+4 x^3\right) \log \left(\frac{-1+e^4}{12 x}\right)}{\log (4)} \, dx","Integrate[(-(E^3*x^2) - x^3 + (3*E^3*x^2 + 4*x^3)*Log[(-1 + E^4)/(12*x)])/Log[4],x]","\frac{x^4 \log \left(\frac{e^4-1}{12 x}\right)+e^3 x^3 \log \left(-\frac{1-e^4}{12 x}\right)}{\log (4)}","\frac{x^3 \left(x+e^3\right) \log \left(\frac{e^4-1}{12 x}\right)}{\log (4)}",1,"(E^3*x^3*Log[-1/12*(1 - E^4)/x] + x^4*Log[(-1 + E^4)/(12*x)])/Log[4]","A",1
5684,1,29,26,0.0211822,"\int \frac{1}{2} \left(-12-3 e^{18}-6 x+e^{2 x^2} \left(-2-8 x^2\right)\right) \, dx","Integrate[(-12 - 3*E^18 - 6*x + E^(2*x^2)*(-2 - 8*x^2))/2,x]","-\frac{3 x^2}{2}-e^{2 x^2} x-\frac{3 e^{18} x}{2}-6 x","x \left(\frac{1}{2} \left(-3 \left(x+e^{18}+3\right)-3\right)-e^{2 x^2}\right)",1,"-6*x - (3*E^18*x)/2 - E^(2*x^2)*x - (3*x^2)/2","A",1
5685,1,16,20,0.0000794,"\int \left(-2 x+18 x^2+8 x^3\right) \, dx","Integrate[-2*x + 18*x^2 + 8*x^3,x]","2 x^4+6 x^3-x^2","2 (x+3) x^3-x^2-e^e+3",1,"-x^2 + 6*x^3 + 2*x^4","A",1
5686,1,32,28,0.0702881,"\int \frac{40 e^{2 x}+40 e^{10 x^2} x^2-60 x^3+40 x^4+e^x \left(20 x-60 x^2\right)+e^{5 x^2} \left(-80 e^x x-40 x^2+80 x^3-200 x^4\right)}{e^{2 x} x^3-2 e^x x^5+e^{10 x^2} x^5+x^7+e^{5 x^2} \left(-2 e^x x^4+2 x^6\right)} \, dx","Integrate[(40*E^(2*x) + 40*E^(10*x^2)*x^2 - 60*x^3 + 40*x^4 + E^x*(20*x - 60*x^2) + E^(5*x^2)*(-80*E^x*x - 40*x^2 + 80*x^3 - 200*x^4))/(E^(2*x)*x^3 - 2*E^x*x^5 + E^(10*x^2)*x^5 + x^7 + E^(5*x^2)*(-2*E^x*x^4 + 2*x^6)),x]","20 \left(\frac{1}{x \left(x^2+e^{5 x^2} x-e^x\right)}-\frac{1}{x^2}\right)","\frac{4 \left(\frac{5}{e^{5 x^2}+x-\frac{e^x}{x}}-5\right)}{x^2}",1,"20*(-x^(-2) + 1/(x*(-E^x + E^(5*x^2)*x + x^2)))","A",1
5687,1,16,16,0.0241621,"\int e^x (-5 x+(10-5 x) \log (2)) \, dx","Integrate[E^x*(-5*x + (10 - 5*x)*Log[2]),x]","-5 e^x (x+x \log (2)-1-\log (8))","e^x (5-5 (x+(x-3) \log (2)))",1,"-5*E^x*(-1 + x + x*Log[2] - Log[8])","A",1
5688,1,62,31,0.4441967,"\int \frac{e^{\frac{x}{4 \log (x)}} \left(-\exp \left(\frac{625-1000 x+100 x^2+440 x^3-71 x^4-88 x^5+4 x^6+8 x^7+x^8}{x^4}\right) x^5-x^6-x^7+\left(\exp \left(\frac{625-1000 x+100 x^2+440 x^3-71 x^4-88 x^5+4 x^6+8 x^7+x^8}{x^4}\right) x^5+x^6+x^7\right) \log (x)+\left(4 x^5+8 x^6+\exp \left(\frac{625-1000 x+100 x^2+440 x^3-71 x^4-88 x^5+4 x^6+8 x^7+x^8}{x^4}\right) \left(-10000+12000 x-800 x^2-1760 x^3-352 x^5+32 x^6+96 x^7+16 x^8\right)\right) \log ^2(x)\right)}{4 x^5 \log ^2(x)} \, dx","Integrate[(E^(x/(4*Log[x]))*(-(E^((625 - 1000*x + 100*x^2 + 440*x^3 - 71*x^4 - 88*x^5 + 4*x^6 + 8*x^7 + x^8)/x^4)*x^5) - x^6 - x^7 + (E^((625 - 1000*x + 100*x^2 + 440*x^3 - 71*x^4 - 88*x^5 + 4*x^6 + 8*x^7 + x^8)/x^4)*x^5 + x^6 + x^7)*Log[x] + (4*x^5 + 8*x^6 + E^((625 - 1000*x + 100*x^2 + 440*x^3 - 71*x^4 - 88*x^5 + 4*x^6 + 8*x^7 + x^8)/x^4)*(-10000 + 12000*x - 800*x^2 - 1760*x^3 - 352*x^5 + 32*x^6 + 96*x^7 + 16*x^8))*Log[x]^2))/(4*x^5*Log[x]^2),x]","\left(\exp \left(\frac{x^8+8 x^7+4 x^6-88 x^5+440 x^3+100 x^2-1000 x+625}{x^4}\right)+e^{71} x (x+1)\right) e^{\frac{x}{4 \log (x)}-71}","\left(x^2+x+e^{\left(x-\frac{5}{x}+2\right)^4+3}\right) e^{\frac{x}{4 \log (x)}}",1,"E^(-71 + x/(4*Log[x]))*(E^((625 - 1000*x + 100*x^2 + 440*x^3 - 88*x^5 + 4*x^6 + 8*x^7 + x^8)/x^4) + E^71*x*(1 + x))","A",1
5689,1,19,23,0.0491102,"\int \frac{-24 x^2-30 x^6+12 \log (5)}{4 x^2-16 x^3+16 x^4-4 x^7+8 x^8+x^{12}+\left(-8 x+16 x^2+4 x^6\right) \log (5)+4 \log ^2(5)} \, dx","Integrate[(-24*x^2 - 30*x^6 + 12*Log[5])/(4*x^2 - 16*x^3 + 16*x^4 - 4*x^7 + 8*x^8 + x^12 + (-8*x + 16*x^2 + 4*x^6)*Log[5] + 4*Log[5]^2),x]","\frac{6 x}{x^6+4 x^2-2 x+\log (25)}","\frac{3}{\frac{\frac{x^6}{2}+\log (5)}{x}+2 x-1}",1,"(6*x)/(-2*x + 4*x^2 + x^6 + Log[25])","A",1
5690,1,21,20,0.0736889,"\int \frac{3-3 x-5 x^2+x^3+\left(-6 x+6 x^3\right) \log (x)}{3 x-x^3+\left(-3 x^2+x^4\right) \log (x)} \, dx","Integrate[(3 - 3*x - 5*x^2 + x^3 + (-6*x + 6*x^3)*Log[x])/(3*x - x^3 + (-3*x^2 + x^4)*Log[x]),x]","2 \log \left(3-x^2\right)+\log (x)+\log (1-x \log (x))","\log \left(x \left(3-x^2\right)^2 (x \log (x)-1)\right)+9",1,"Log[x] + 2*Log[3 - x^2] + Log[1 - x*Log[x]]","A",1
5691,1,29,27,0.1283878,"\int \frac{-24 \exp \left(-1+e^{\frac{2 (15+2 x)}{5 x}}+\frac{2 (15+2 x)}{5 x}\right)+9 x+3 x^2}{4 x^2} \, dx","Integrate[(-24*E^(-1 + E^((2*(15 + 2*x))/(5*x)) + (2*(15 + 2*x))/(5*x)) + 9*x + 3*x^2)/(4*x^2),x]","\frac{3}{4} \left(x+\frac{4}{3} e^{e^{\frac{6}{x}+\frac{4}{5}}-1}+3 \log (x)\right)","e^{e^{\frac{6}{x}+\frac{4}{5}}-1}+\frac{3}{4} (x+3 \log (x))+3",1,"(3*((4*E^(-1 + E^(4/5 + 6/x)))/3 + x + 3*Log[x]))/4","A",1
5692,1,47,33,0.3908244,"\int \frac{\exp \left(\exp \left(\frac{-\frac{(-4+x)^2 x}{e^4}+x^2-\frac{2 (-4+x) x^2}{e^2}-x^3}{1+\frac{(-4+x)^2 x}{e^4}-x^2+\frac{2 (-4+x) x^2}{e^2}+x^3}\right)+\frac{-\frac{(-4+x)^2 x}{e^4}+x^2-\frac{2 (-4+x) x^2}{e^2}-x^3}{1+\frac{(-4+x)^2 x}{e^4}-x^2+\frac{2 (-4+x) x^2}{e^2}+x^3}\right) \left(8 x-14 x^2+3 x^3+\frac{(-4+x)^2 (-4+3 x)}{e^4}+\frac{(-4+x) \left(-16 x+6 x^2\right)}{e^2}\right)}{-4+x+8 x^2-10 x^3-2 x^4+9 x^5-6 x^6+x^7+\frac{(-4+x)^4 \left(-4 x^2+x^3\right)}{e^8}+\frac{(-4+x)^3 \left(-16 x^3+4 x^4\right)}{e^6}+\frac{(-4+x)^2 \left(-8 x+2 x^2+8 x^3-26 x^4+6 x^5\right)}{e^4}+\frac{(-4+x) \left(-16 x^2+4 x^3+16 x^4-20 x^5+4 x^6\right)}{e^2}} \, dx","Integrate[(E^(E^((-(((-4 + x)^2*x)/E^4) + x^2 - (2*(-4 + x)*x^2)/E^2 - x^3)/(1 + ((-4 + x)^2*x)/E^4 - x^2 + (2*(-4 + x)*x^2)/E^2 + x^3)) + (-(((-4 + x)^2*x)/E^4) + x^2 - (2*(-4 + x)*x^2)/E^2 - x^3)/(1 + ((-4 + x)^2*x)/E^4 - x^2 + (2*(-4 + x)*x^2)/E^2 + x^3))*(8*x - 14*x^2 + 3*x^3 + ((-4 + x)^2*(-4 + 3*x))/E^4 + ((-4 + x)*(-16*x + 6*x^2))/E^2))/(-4 + x + 8*x^2 - 10*x^3 - 2*x^4 + 9*x^5 - 6*x^6 + x^7 + ((-4 + x)^4*(-4*x^2 + x^3))/E^8 + ((-4 + x)^3*(-16*x^3 + 4*x^4))/E^6 + ((-4 + x)^2*(-8*x + 2*x^2 + 8*x^3 - 26*x^4 + 6*x^5))/E^4 + ((-4 + x)*(-16*x^2 + 4*x^3 + 16*x^4 - 20*x^5 + 4*x^6))/E^2),x]","-\exp \left(\exp \left(\frac{e^4}{2 e^2 x^2 (x-4)+e^4 \left(x^3-x^2+1\right)+x (x-4)^2}-1\right)\right)","1-e^{e^{\frac{x}{\frac{1}{x-\left(\frac{x-4}{e^2}+x\right)^2}-x}}}",1,"-E^E^(-1 + E^4/((-4 + x)^2*x + 2*E^2*(-4 + x)*x^2 + E^4*(1 - x^2 + x^3)))","A",1
5693,1,22,27,0.0079962,"\int \frac{-e^{3+2 x}-e^3 x+e^{2 x} \left(e^{2 x}+x\right) \left(12+48 e^{2 x}+24 x\right)}{e^{2 x}+x} \, dx","Integrate[(-E^(3 + 2*x) - E^3*x + E^(2*x)*(E^(2*x) + x)*(12 + 48*E^(2*x) + 24*x))/(E^(2*x) + x),x]","12 e^{2 x} x-e^3 x+12 e^{4 x}","x \left(\frac{12 e^{2 x} \left(x+e^{2 x}\right)}{x}-e^3\right)+1",1,"12*E^(4*x) - E^3*x + 12*E^(2*x)*x","A",1
5694,1,21,24,0.2094156,"\int \frac{e^x (-20+4 x) \log (-5+x)+\left(10 x-2 x^2\right) \log (x)+\left(2 e^x x+e^x \left(-10 x+2 x^2\right) \log (-5+x)\right) \log \left(x^2\right)}{-5 x+x^2} \, dx","Integrate[(E^x*(-20 + 4*x)*Log[-5 + x] + (10*x - 2*x^2)*Log[x] + (2*E^x*x + E^x*(-10*x + 2*x^2)*Log[-5 + x])*Log[x^2])/(-5*x + x^2),x]","2 \left(e^x \log (x-5) \log \left(x^2\right)+x+x (-\log (x))\right)","2 x \left(\frac{e^x \log (x-5) \log \left(x^2\right)}{x}-\log (x)+1\right)",1,"2*(x - x*Log[x] + E^x*Log[-5 + x]*Log[x^2])","A",1
5695,1,17,18,0.1958985,"\int \frac{e^x \log ^2(x)+e^{\frac{2 x^2+x \log (x)}{\log (x)}} \left(-2 x+4 x \log (x)+\log ^2(x)\right)}{\log ^2(x)} \, dx","Integrate[(E^x*Log[x]^2 + E^((2*x^2 + x*Log[x])/Log[x])*(-2*x + 4*x*Log[x] + Log[x]^2))/Log[x]^2,x]","e^{\frac{2 x^2}{\log (x)}+x}+e^x","e^{\frac{2 x^2}{\log (x)}+x}+e^x+4",1,"E^x + E^(x + (2*x^2)/Log[x])","A",1
5696,1,26,26,0.4359199,"\int \frac{8-14 x+7 x^2+\left(-16 x+4 x^3\right) \log (x)+\left(4 x-x^3\right) \log \left(\frac{1}{4 x-4 x^2+x^3}\right)}{8-4 x+\left(-8 x^2+4 x^3\right) \log (x)+\left(2 x^2-x^3\right) \log \left(\frac{1}{4 x-4 x^2+x^3}\right)} \, dx","Integrate[(8 - 14*x + 7*x^2 + (-16*x + 4*x^3)*Log[x] + (4*x - x^3)*Log[(4*x - 4*x^2 + x^3)^(-1)])/(8 - 4*x + (-8*x^2 + 4*x^3)*Log[x] + (2*x^2 - x^3)*Log[(4*x - 4*x^2 + x^3)^(-1)]),x]","\log \left(x^2 \log \left(\frac{1}{(x-2)^2 x}\right)-4 x^2 \log (x)+4\right)+x","\log \left(x^2 \left(\log \left(\frac{x}{\left(x^2-2 x\right)^2}\right)-4 \log (x)\right)+4\right)+x",1,"x + Log[4 + x^2*Log[1/((-2 + x)^2*x)] - 4*x^2*Log[x]]","A",1
5697,1,20,22,0.1542973,"\int \frac{1400 x^2-200 x^3+25 x^4+e^{2 x} \left(56-8 x+x^2\right)+e^x \left(16-584 x+89 x^2-11 x^3\right)}{400 x^2-200 x^3+25 x^4+e^{2 x} \left(16-8 x+x^2\right)+e^x \left(-160 x+80 x^2-10 x^3\right)} \, dx","Integrate[(1400*x^2 - 200*x^3 + 25*x^4 + E^(2*x)*(56 - 8*x + x^2) + E^x*(16 - 584*x + 89*x^2 - 11*x^3))/(400*x^2 - 200*x^3 + 25*x^4 + E^(2*x)*(16 - 8*x + x^2) + E^x*(-160*x + 80*x^2 - 10*x^3)),x]","\frac{x}{e^x-5 x}+x-\frac{40}{x-4}","\frac{x}{e^x-5 x}-\frac{10 x}{x-4}+x+2",1,"-40/(-4 + x) + x + x/(E^x - 5*x)","A",1
5698,1,22,22,1.1838123,"\int \frac{e^{\frac{9}{-8-x^2+\log (x)}} \left(275-320 x+170 x^2-80 x^3+5 x^4-5 x^5+\left(-80+80 x-10 x^2+10 x^3\right) \log (x)+(5-5 x) \log ^2(x)\right)}{e^x \left(64+16 x^2+x^4\right)+e^x \left(-16-2 x^2\right) \log (x)+e^x \log ^2(x)} \, dx","Integrate[(E^(9/(-8 - x^2 + Log[x]))*(275 - 320*x + 170*x^2 - 80*x^3 + 5*x^4 - 5*x^5 + (-80 + 80*x - 10*x^2 + 10*x^3)*Log[x] + (5 - 5*x)*Log[x]^2))/(E^x*(64 + 16*x^2 + x^4) + E^x*(-16 - 2*x^2)*Log[x] + E^x*Log[x]^2),x]","5 x e^{\frac{9}{-x^2+\log (x)-8}-x}","5 x e^{-\frac{9}{x^2-\log (x)+8}-x}",1,"5*E^(-x + 9/(-8 - x^2 + Log[x]))*x","A",1
5699,1,27,21,0.1226,"\int \frac{10+e^2 (10+x)-x \log (x)+(10+x) \log (48 x)}{e^4 x^2+2 e^2 x^2 \log (48 x)+x^2 \log ^2(48 x)} \, dx","Integrate[(10 + E^2*(10 + x) - x*Log[x] + (10 + x)*Log[48*x])/(E^4*x^2 + 2*E^2*x^2*Log[48*x] + x^2*Log[48*x]^2),x]","-\frac{e^2 x+x \log (48)+10}{e^2 x+x \log (48 x)}","\frac{\log (x)-\frac{10}{x}}{\log (48 x)+e^2}+5",1,"-((10 + E^2*x + x*Log[48])/(E^2*x + x*Log[48*x]))","A",1
5700,1,40,23,0.0648497,"\int \frac{e^4 (152-6 x)+50 x+e^2 (-3800+148 x)+e^{2 x} \left(-6 e^4+e^2 (-6+6 x)\right)+e^x \left(2 x-2 x^2+e^4 (-146+6 x)+e^2 \left(-302+160 x-6 x^2\right)\right)}{e^{4+3 x}+e^{4+2 x} (75-3 x)+e^{4+x} \left(1875-150 x+3 x^2\right)+e^4 \left(15625-1875 x+75 x^2-x^3\right)} \, dx","Integrate[(E^4*(152 - 6*x) + 50*x + E^2*(-3800 + 148*x) + E^(2*x)*(-6*E^4 + E^2*(-6 + 6*x)) + E^x*(2*x - 2*x^2 + E^4*(-146 + 6*x) + E^2*(-302 + 160*x - 6*x^2)))/(E^(4 + 3*x) + E^(4 + 2*x)*(75 - 3*x) + E^(4 + x)*(1875 - 150*x + 3*x^2) + E^4*(15625 - 1875*x + 75*x^2 - x^3)),x]","-\frac{\left(e^2-x\right) \left(x-6 e^{x+2}+e^2 (6 x-151)\right)}{e^4 \left(-x+e^x+25\right)^2}","\left(\frac{1-\frac{x}{e^2}}{-x+e^x+25}+3\right)^2",1,"-(((E^2 - x)*(-6*E^(2 + x) + x + E^2*(-151 + 6*x)))/(E^4*(25 + E^x - x)^2))","A",1
5701,1,50,30,0.0280863,"\int \left(8 x+24 x^2+e^x \left(4-12 x^2-4 x^3\right)+e^{4+3 x+x^2} \left(8 x+12 x^2+8 x^3\right)\right) \, dx","Integrate[8*x + 24*x^2 + E^x*(4 - 12*x^2 - 4*x^3) + E^(4 + 3*x + x^2)*(8*x + 12*x^2 + 8*x^3),x]","8 x^3-4 e^x \left(x^3-1\right)+4 x^2+\frac{4 e^{x^2+3 x+4} \left(2 x^2+3 x\right) x}{2 x+3}","4 \left(\left(-e^x x+2 x+e^{x (x+3)+4}+1\right) x^2+e^x\right)",1,"4*x^2 + 8*x^3 + (4*E^(4 + 3*x + x^2)*x*(3*x + 2*x^2))/(3 + 2*x) - 4*E^x*(-1 + x^3)","A",1
5702,1,30,30,0.031129,"\int \frac{4+e^{3 x} (12 x-60 \log (4))+e^{\frac{2+x}{4}} (-x+5 \log (4))}{-4 x+20 \log (4)} \, dx","Integrate[(4 + E^(3*x)*(12*x - 60*Log[4]) + E^((2 + x)/4)*(-x + 5*Log[4]))/(-4*x + 20*Log[4]),x]","e^{\frac{x}{4}+\frac{1}{2}}-e^{3 x}-\log (5 \log (4)-x)","\log \left(\frac{e^{-e^{3 x}+e^{\frac{x+2}{4}}+4}}{x-5 \log (4)}\right)",1,"E^(1/2 + x/4) - E^(3*x) - Log[-x + 5*Log[4]]","A",1
5703,1,21,24,0.2059668,"\int \frac{\left(e^{1+x} (4+x)\right)^{\left(3 x+3 x^2\right) \log (8)+x \log (8) \log (x)} \left(\left(15 x+18 x^2+3 x^3\right) \log (8)+\left(5 x+x^2\right) \log (8) \log (x)+\left(\left(16+28 x+6 x^2\right) \log (8)+(4+x) \log (8) \log (x)\right) \log \left(e^{1+x} (4+x)\right)\right)}{4+x} \, dx","Integrate[((E^(1 + x)*(4 + x))^((3*x + 3*x^2)*Log[8] + x*Log[8]*Log[x])*((15*x + 18*x^2 + 3*x^3)*Log[8] + (5*x + x^2)*Log[8]*Log[x] + ((16 + 28*x + 6*x^2)*Log[8] + (4 + x)*Log[8]*Log[x])*Log[E^(1 + x)*(4 + x)]))/(4 + x),x]","\left(e^{x+1} (x+4)\right)^{x \log (8) (3 x+\log (x)+3)}","\exp \left(x \log (8) (3 (x+1)+\log (x)) \log \left(e^{x+1} (x+4)\right)\right)",1,"(E^(1 + x)*(4 + x))^(x*Log[8]*(3 + 3*x + Log[x]))","A",1
5704,1,18,26,0.0038568,"\int \frac{5-2 x^2-\frac{x^2}{e^3}+2 x^3}{x^2} \, dx","Integrate[(5 - 2*x^2 - x^2/E^3 + 2*x^3)/x^2,x]","x^2-\frac{x}{e^3}-2 x-\frac{5}{x}","x^2-\frac{x}{e^3}+\frac{x-5}{x}-\log \left(e^{2 x}\right)+7",1,"-5/x - 2*x - x/E^3 + x^2","A",1
5705,1,47,28,0.803464,"\int \frac{-16-32 x-24 x^2-144 e^{4 x} x^2-8 x^3-x^4+e^{5 x} (-48+48 x)+e^{3 x} \left(32+40 x+12 x^2\right)+e^{2 x} \left(-96 x-96 x^2-24 x^3\right)}{16+32 x+24 x^2+144 e^{4 x} x^2+8 x^3+x^4+e^{2 x} \left(96 x+96 x^2+24 x^3\right)} \, dx","Integrate[(-16 - 32*x - 24*x^2 - 144*E^(4*x)*x^2 - 8*x^3 - x^4 + E^(5*x)*(-48 + 48*x) + E^(3*x)*(32 + 40*x + 12*x^2) + E^(2*x)*(-96*x - 96*x^2 - 24*x^3))/(16 + 32*x + 24*x^2 + 144*E^(4*x)*x^2 + 8*x^3 + x^4 + E^(2*x)*(96*x + 96*x^2 + 24*x^3)),x]","-\frac{e^x (x+2)^2}{3 x \left(x^2+12 e^{2 x} x+4 x+4\right)}-x+\frac{e^x}{3 x}","\frac{e^x}{\frac{1}{4} e^{-2 x} (x+2)^2+3 x}-x",1,"E^x/(3*x) - x - (E^x*(2 + x)^2)/(3*x*(4 + 4*x + 12*E^(2*x)*x + x^2))","A",1
5706,1,25,29,0.026574,"\int \frac{2 e^{e^4+e^e}+e^{e^4} (-20-8 x)}{300 x^2+120 x^3+12 x^4+e^{2 e^e} \left(75+30 x+3 x^2\right)+e^{e^e} \left(-300 x-120 x^2-12 x^3\right)} \, dx","Integrate[(2*E^(E^4 + E^E) + E^E^4*(-20 - 8*x))/(300*x^2 + 120*x^3 + 12*x^4 + E^(2*E^E)*(75 + 30*x + 3*x^2) + E^E^E*(-300*x - 120*x^2 - 12*x^3)),x]","-\frac{2 e^{e^4}}{3 \left(e^{e^e}-2 x\right) (x+5)}","\frac{2 e^{e^4}}{3 (x+5) \left(2 x-e^{e^e}\right)}+2",1,"(-2*E^E^4)/(3*(E^E^E - 2*x)*(5 + x))","A",1
5707,1,28,30,1.7224181,"\int \frac{4^{\frac{16 x}{4 e^x+20 x-4 x^2+e^4 x^2}} \left(e^x (64-64 x) \log (4)+\left(64 x^2-16 e^4 x^2\right) \log (4)\right)}{16 e^{2 x}+400 x^2-160 x^3+16 x^4+e^8 x^4+e^x \left(160 x-32 x^2+8 e^4 x^2\right)+e^4 \left(40 x^3-8 x^4\right)} \, dx","Integrate[(4^((16*x)/(4*E^x + 20*x - 4*x^2 + E^4*x^2))*(E^x*(64 - 64*x)*Log[4] + (64*x^2 - 16*E^4*x^2)*Log[4]))/(16*E^(2*x) + 400*x^2 - 160*x^3 + 16*x^4 + E^8*x^4 + E^x*(160*x - 32*x^2 + 8*E^4*x^2) + E^4*(40*x^3 - 8*x^4)),x]","4^{\frac{16 x}{e^4 x^2-4 x^2+20 x+4 e^x}}","4^{\frac{4}{\frac{e^4 x}{4}+\frac{(5-x) x+e^x}{x}}}",1,"4^((16*x)/(4*E^x + 20*x - 4*x^2 + E^4*x^2))","A",1
5708,1,64,23,0.0142489,"\int \frac{1}{8} e^6 \left(64 x+e^2 \left(-576 x-48 x^3\right)+e^4 \left(1728 x+288 x^3+12 x^5\right)+e^6 \left(-1728 x-432 x^3-36 x^5-x^7\right)\right) \, dx","Integrate[(E^6*(64*x + E^2*(-576*x - 48*x^3) + E^4*(1728*x + 288*x^3 + 12*x^5) + E^6*(-1728*x - 432*x^3 - 36*x^5 - x^7)))/8,x]","-\frac{1}{8} e^6 \left(\frac{e^6 x^8}{8}+2 e^4 \left(3 e^2-1\right) x^6+12 e^2 \left(3 e^2-1\right)^2 x^4+32 \left(3 e^2-1\right)^3 x^2\right)","1-4 e^{12} \left(\frac{x^2}{4}-\frac{1}{e^2}+3\right)^4",1,"-1/8*(E^6*(32*(-1 + 3*E^2)^3*x^2 + 12*E^2*(-1 + 3*E^2)^2*x^4 + 2*E^4*(-1 + 3*E^2)*x^6 + (E^6*x^8)/8))","B",1
5709,1,27,31,0.1274703,"\int \frac{\left(3+12 x^2\right) \log ^2(x)+e^{\frac{4+4 x \log (x)}{x \log (x)}} \left(-80 x-80 x \log (x)+60 x^2 \log ^2(x)\right)+e^{\frac{2 (4+4 x \log (x))}{x \log (x)}} \left(-200 x-200 x \log (x)+75 x^2 \log ^2(x)\right)}{\log ^2(x)} \, dx","Integrate[((3 + 12*x^2)*Log[x]^2 + E^((4 + 4*x*Log[x])/(x*Log[x]))*(-80*x - 80*x*Log[x] + 60*x^2*Log[x]^2) + E^((2*(4 + 4*x*Log[x]))/(x*Log[x]))*(-200*x - 200*x*Log[x] + 75*x^2*Log[x]^2))/Log[x]^2,x]","x \left(x^2 \left(5 e^{\frac{4}{x \log (x)}+4}+2\right)^2+3\right)","x \left(x^2 \left(5 e^{\frac{4 \left(x^2+\frac{x}{\log (x)}\right)}{x^2}}+2\right)^2+3\right)",1,"x*(3 + (2 + 5*E^(4 + 4/(x*Log[x])))^2*x^2)","A",1
5710,1,18,18,0.3657987,"\int \frac{e^{e^{\frac{4+e^2 x-x^2}{x}} x+\frac{4+e^2 x-x^2}{x}} \left(-4+x-x^2\right)}{x} \, dx","Integrate[(E^(E^((4 + E^2*x - x^2)/x)*x + (4 + E^2*x - x^2)/x)*(-4 + x - x^2))/x,x]","e^{e^{-x+\frac{4}{x}+e^2} x}","e^{e^{-x+\frac{4}{x}+e^2} x}",1,"E^(E^(E^2 + 4/x - x)*x)","A",1
5711,1,21,21,0.4492206,"\int \frac{e^{x+\frac{5 e^x x^2}{6 e-6 x^2}} \left(-5 x^4+e \left(10 x+5 x^2\right)\right)}{6 e^2-12 e x^2+6 x^4} \, dx","Integrate[(E^(x + (5*E^x*x^2)/(6*E - 6*x^2))*(-5*x^4 + E*(10*x + 5*x^2)))/(6*E^2 - 12*E*x^2 + 6*x^4),x]","e^{-\frac{5 e^x x^2}{6 \left(x^2-e\right)}}","e^{\frac{5 e^x x}{6 \left(\frac{e}{x}-x\right)}}",1,"E^((-5*E^x*x^2)/(6*(-E + x^2)))","A",1
5712,1,11,31,0.0010991,"\int \frac{9+24 x^2}{4 x^2} \, dx","Integrate[(9 + 24*x^2)/(4*x^2),x]","6 x-\frac{9}{4 x}","3 \left(2 x+\frac{\frac{1}{4} (-x-3)+\frac{3 x}{\left(e^4-1\right)^2}}{x}+6\right)",1,"-9/(4*x) + 6*x","A",1
5713,1,28,20,0.0042944,"\int \frac{-4 e^{258}+4 e^{258+e^2}+4 e^3 x}{e} \, dx","Integrate[(-4*E^258 + 4*E^(258 + E^2) + 4*E^3*x)/E,x]","4 e^2 \left(\frac{x^2}{2}+e^{255+e^2} x-e^{255} x\right)","2 e^2 x \left(x+2 e^{255} \left(e^{e^2}-1\right)\right)",1,"4*E^2*(-(E^255*x) + E^(255 + E^2)*x + x^2/2)","A",1
5714,1,3,3,0.0041176,"\int \frac{1}{x \log (x)} \, dx","Integrate[1/(x*Log[x]),x]","\log (\log (x))","\log (\log (x))",1,"Log[Log[x]]","A",1
5715,1,21,21,1.7328355,"\int e^{58 x+60 x^2-2 e^{e^{-2 x}} \left(x+x^2\right)} \left(e^{2 x} \left(2 x+60 x^2+120 x^3\right)+e^{e^{-2 x}} \left(4 x^3+4 x^4+e^{2 x} \left(-2 x^2-4 x^3\right)\right)\right) \, dx","Integrate[E^(58*x + 60*x^2 - 2*E^E^(-2*x)*(x + x^2))*(E^(2*x)*(2*x + 60*x^2 + 120*x^3) + E^E^(-2*x)*(4*x^3 + 4*x^4 + E^(2*x)*(-2*x^2 - 4*x^3))),x]","e^{-2 \left(e^{e^{-2 x}}-30\right) x (x+1)} x^2","e^{-2 \left(e^{e^{-2 x}}-30\right) x (x+1)} x^2",1,"x^2/E^(2*(-30 + E^E^(-2*x))*x*(1 + x))","A",1
5716,1,24,26,0.600257,"\int \frac{25 x^6+10 x^7+x^8+e^x \left(-25 x^6-10 x^7-x^8\right)+\left(-150 x^6-70 x^7-8 x^8+e^3 \left(-150 x^5-70 x^6-8 x^7\right)+e^x \left(150 x^5+70 x^6+8 x^7\right)\right) \log \left(-e^3+e^x-x\right)}{\left(-e^3+e^x-x\right) \log ^2\left(-e^3+e^x-x\right)} \, dx","Integrate[(25*x^6 + 10*x^7 + x^8 + E^x*(-25*x^6 - 10*x^7 - x^8) + (-150*x^6 - 70*x^7 - 8*x^8 + E^3*(-150*x^5 - 70*x^6 - 8*x^7) + E^x*(150*x^5 + 70*x^6 + 8*x^7))*Log[-E^3 + E^x - x])/((-E^3 + E^x - x)*Log[-E^3 + E^x - x]^2),x]","\frac{x^6 (x+5)^2}{\log \left(-x+e^x-e^3\right)}","\frac{(-x-5)^2 x^6}{\log \left(-x+e^x-e^3\right)}",1,"(x^6*(5 + x)^2)/Log[-E^3 + E^x - x]","A",1
5717,1,38,28,0.0131328,"\int \frac{-864+4752 x-5904 x^2+3176 x^3-810 x^4+81 x^5}{-2592+6480 x-6480 x^2+3240 x^3-810 x^4+81 x^5} \, dx","Integrate[(-864 + 4752*x - 5904*x^2 + 3176*x^3 - 810*x^4 + 81*x^5)/(-2592 + 6480*x - 6480*x^2 + 3240*x^3 - 810*x^4 + 81*x^5),x]","\frac{1}{81} \left(81 (x-2)+\frac{64}{x-2}-\frac{96}{(x-2)^2}+\frac{64}{(x-2)^3}-\frac{16}{(x-2)^4}\right)","-\left(1-\frac{x}{3 (x-2)}\right)^4+x-5 e^{1+e^3}+1",1,"(-16/(-2 + x)^4 + 64/(-2 + x)^3 - 96/(-2 + x)^2 + 64/(-2 + x) + 81*(-2 + x))/81","A",1
5718,1,20,21,0.0427155,"\int \frac{e (3-46 x)-92 x \log \left(\frac{1}{46} (-3+46 x)\right)}{e \left(-3 x+46 x^2\right)} \, dx","Integrate[(E*(3 - 46*x) - 92*x*Log[(-3 + 46*x)/46])/(E*(-3*x + 46*x^2)),x]","\frac{-\log ^2\left(x-\frac{3}{46}\right)-e \log (x)}{e}","-\frac{\log ^2\left(x-\frac{3}{46}\right)-2}{e}-\log (x)+3",1,"(-Log[-3/46 + x]^2 - E*Log[x])/E","A",1
5719,1,13,21,0.0019794,"\int \frac{5+3 x^2 \log \left(\frac{\log (4)}{2}\right)}{3 x^2} \, dx","Integrate[(5 + 3*x^2*Log[Log[4]/2])/(3*x^2),x]","x \log (\log (2))-\frac{5}{3 x}","\frac{1}{3} \left(25-\frac{5}{x}\right)+x \log \left(\frac{\log (4)}{2}\right)",1,"-5/(3*x) + x*Log[Log[2]]","A",1
5720,0,0,35,0.8674864,"\int \frac{3328 x^4+2496 x^5+624 x^6+52 x^7+e^{32-16 x+2 x^2} \left(-66 x^3+4 x^5\right)+\left(-128-96 x-24 x^2-2 x^3\right) \log ^2(3)+e^{16-8 x+x^2} \left(-32 x^3+248 x^4+64 x^5-16 x^6-4 x^7+\left(-32 x-280 x^2-68 x^3+16 x^4+4 x^5\right) \log (3)\right)}{1600 x^3+1200 x^4+300 x^5+25 x^6} \, dx","Integrate[(3328*x^4 + 2496*x^5 + 624*x^6 + 52*x^7 + E^(32 - 16*x + 2*x^2)*(-66*x^3 + 4*x^5) + (-128 - 96*x - 24*x^2 - 2*x^3)*Log[3]^2 + E^(16 - 8*x + x^2)*(-32*x^3 + 248*x^4 + 64*x^5 - 16*x^6 - 4*x^7 + (-32*x - 280*x^2 - 68*x^3 + 16*x^4 + 4*x^5)*Log[3]))/(1600*x^3 + 1200*x^4 + 300*x^5 + 25*x^6),x]","\int \frac{3328 x^4+2496 x^5+624 x^6+52 x^7+e^{32-16 x+2 x^2} \left(-66 x^3+4 x^5\right)+\left(-128-96 x-24 x^2-2 x^3\right) \log ^2(3)+e^{16-8 x+x^2} \left(-32 x^3+248 x^4+64 x^5-16 x^6-4 x^7+\left(-32 x-280 x^2-68 x^3+16 x^4+4 x^5\right) \log (3)\right)}{1600 x^3+1200 x^4+300 x^5+25 x^6} \, dx","x^2+\frac{1}{25} \left(-x+\frac{e^{(4-x)^2}}{x+4}+\frac{\log (3)}{x}\right)^2",1,"Integrate[(3328*x^4 + 2496*x^5 + 624*x^6 + 52*x^7 + E^(32 - 16*x + 2*x^2)*(-66*x^3 + 4*x^5) + (-128 - 96*x - 24*x^2 - 2*x^3)*Log[3]^2 + E^(16 - 8*x + x^2)*(-32*x^3 + 248*x^4 + 64*x^5 - 16*x^6 - 4*x^7 + (-32*x - 280*x^2 - 68*x^3 + 16*x^4 + 4*x^5)*Log[3]))/(1600*x^3 + 1200*x^4 + 300*x^5 + 25*x^6), x]","F",-1
5721,1,17,17,0.2846827,"\int e^{e^{1+x^2}} \left(e^x \left(-18-22 x-2 x^2\right)+e^{1+x+x^2} \left(-36 x^2-4 x^3\right)\right) \, dx","Integrate[E^E^(1 + x^2)*(E^x*(-18 - 22*x - 2*x^2) + E^(1 + x + x^2)*(-36*x^2 - 4*x^3)),x]","-2 e^{e^{x^2+1}+x} x (x+9)","-2 e^{e^{x^2+1}+x} x (x+9)",1,"-2*E^(E^(1 + x^2) + x)*x*(9 + x)","A",1
5722,1,25,21,0.141177,"\int \frac{1}{2} \left(2+e^{\frac{1}{2} \left(4959+543 x-17 x^2-2 x^3\right)} \left(543-34 x-6 x^2\right)\right) \, dx","Integrate[(2 + E^((4959 + 543*x - 17*x^2 - 2*x^3)/2)*(543 - 34*x - 6*x^2))/2,x]","e^{-x^3-\frac{17 x^2}{2}+\frac{543 x}{2}+\frac{4959}{2}}+x","e^{\left(x+\frac{19}{2}\right) \left(-x^2+x+261\right)+x}+x+5",1,"E^(4959/2 + (543*x)/2 - (17*x^2)/2 - x^3) + x","A",1
5723,1,32,33,0.1690651,"\int \frac{8+8 x-6 x^2+4 x^3-5 x^4+2 x^5+e^9 \left(2+2 x-x^2\right)+\left(4 x^2-8 x^3+3 x^4\right) \log \left(\frac{x}{-2+x}\right)+\left(-8 x+4 x^2+2 x^3-3 x^4+x^5+e^9 \left(-2 x+x^2\right)+\left(-8+e^9 (-2+x)+4 x+2 x^2-3 x^3+x^4\right) \log \left(\frac{x}{-2+x}\right)\right) \log \left(\frac{4+e^9-x^2+x^3}{x+\log \left(\frac{x}{-2+x}\right)}\right)}{-24 x+12 x^2+6 x^3-9 x^4+3 x^5+e^9 \left(-6 x+3 x^2\right)+\left(-24+12 x+6 x^2-9 x^3+3 x^4+e^9 (-6+3 x)\right) \log \left(\frac{x}{-2+x}\right)} \, dx","Integrate[(8 + 8*x - 6*x^2 + 4*x^3 - 5*x^4 + 2*x^5 + E^9*(2 + 2*x - x^2) + (4*x^2 - 8*x^3 + 3*x^4)*Log[x/(-2 + x)] + (-8*x + 4*x^2 + 2*x^3 - 3*x^4 + x^5 + E^9*(-2*x + x^2) + (-8 + E^9*(-2 + x) + 4*x + 2*x^2 - 3*x^3 + x^4)*Log[x/(-2 + x)])*Log[(4 + E^9 - x^2 + x^3)/(x + Log[x/(-2 + x)])])/(-24*x + 12*x^2 + 6*x^3 - 9*x^4 + 3*x^5 + E^9*(-6*x + 3*x^2) + (-24 + 12*x + 6*x^2 - 9*x^3 + 3*x^4 + E^9*(-6 + 3*x))*Log[x/(-2 + x)]),x]","\frac{1}{3} x \log \left(\frac{x^3-x^2+e^9+4}{x+\log \left(\frac{x}{x-2}\right)}\right)","\frac{1}{3} x \log \left(\frac{x \left(x^2-x\right)+e^9+4}{x+\log \left(\frac{x}{x-2}\right)}\right)",1,"(x*Log[(4 + E^9 - x^2 + x^3)/(x + Log[x/(-2 + x)])])/3","A",1
5724,1,31,25,0.4225177,"\int \frac{e^{\frac{e^3}{x}} x+x^2+e^{\frac{e^3}{x}} \left(e^3+x\right) \log (6 x)}{\left(-e^{\frac{e^3}{x}} x^2-x^3\right) \log (6 x)+5 x^3 \log ^2(6 x)} \, dx","Integrate[(E^(E^3/x)*x + x^2 + E^(E^3/x)*(E^3 + x)*Log[6*x])/((-(E^(E^3/x)*x^2) - x^3)*Log[6*x] + 5*x^3*Log[6*x]^2),x]","-\log (x)-\log (\log (6 x))+\log \left(x+e^{\frac{e^3}{x}}-5 x \log (6 x)\right)","\log \left(5-\frac{x+e^{\frac{e^3}{x}}}{x \log (6 x)}\right)",1,"-Log[x] - Log[Log[6*x]] + Log[E^(E^3/x) + x - 5*x*Log[6*x]]","A",1
5725,1,27,27,0.098261,"\int \frac{40-44 x+12 x^2+e^{2 x^2} x^2+e^{x^2} \left(-13 x+7 x^2\right)+\left(15-10 x+3 x^2+e^{x^2} \left(x^2+6 x^3-2 x^4\right)\right) \log \left(\frac{x}{2}\right)}{25-30 x+9 x^2+e^{2 x^2} x^2+e^{x^2} \left(-10 x+6 x^2\right)} \, dx","Integrate[(40 - 44*x + 12*x^2 + E^(2*x^2)*x^2 + E^x^2*(-13*x + 7*x^2) + (15 - 10*x + 3*x^2 + E^x^2*(x^2 + 6*x^3 - 2*x^4))*Log[x/2])/(25 - 30*x + 9*x^2 + E^(2*x^2)*x^2 + E^x^2*(-10*x + 6*x^2)),x]","\frac{(x-3) x \log \left(\frac{x}{2}\right)}{e^{x^2} x+3 x-5}+x","\frac{(x-3) \log \left(\frac{x}{2}\right)}{e^{x^2}-\frac{5}{x}+3}+x-2",1,"x + ((-3 + x)*x*Log[x/2])/(-5 + 3*x + E^x^2*x)","A",1
5726,1,5,13,0.0010465,"\int \left(1+e^x\right) \, dx","Integrate[1 + E^x,x]","x+e^x","x+e^x+\log \left(\frac{2}{x}\right)+\log (x)",1,"E^x + x","A",1
5727,1,33,29,0.1982718,"\int \frac{6144-4416 x-462 x^2+681 x^3-24 x^5+e \left(-6144 x+1488 x^2+1167 x^3-96 x^4-48 x^5\right)+e^2 \left(1536 x^2+384 x^3-96 x^4-24 x^5\right)+\left(-3072+3024 x-552 x^2-195 x^3+48 x^4+e^2 \left(-768 x^2+48 x^4\right)+e \left(3072 x-1524 x^2-195 x^3+96 x^4\right)\right) \log (-4+x)+\left(384-480 x+192 x^2-24 x^3+e \left(-384 x+288 x^2-48 x^3\right)+e^2 \left(96 x^2-24 x^3\right)\right) \log ^2(-4+x)}{-512+384 x+32 x^2-56 x^3+2 x^5+e^2 \left(-128 x^2-32 x^3+8 x^4+2 x^5\right)+e \left(512 x-128 x^2-96 x^3+8 x^4+4 x^5\right)+\left(256-256 x+48 x^2+16 x^3-4 x^4+e \left(-256 x+128 x^2+16 x^3-8 x^4\right)+e^2 \left(64 x^2-4 x^4\right)\right) \log (-4+x)+\left(-32+40 x-16 x^2+2 x^3+e^2 \left(-8 x^2+2 x^3\right)+e \left(32 x-24 x^2+4 x^3\right)\right) \log ^2(-4+x)} \, dx","Integrate[(6144 - 4416*x - 462*x^2 + 681*x^3 - 24*x^5 + E*(-6144*x + 1488*x^2 + 1167*x^3 - 96*x^4 - 48*x^5) + E^2*(1536*x^2 + 384*x^3 - 96*x^4 - 24*x^5) + (-3072 + 3024*x - 552*x^2 - 195*x^3 + 48*x^4 + E^2*(-768*x^2 + 48*x^4) + E*(3072*x - 1524*x^2 - 195*x^3 + 96*x^4))*Log[-4 + x] + (384 - 480*x + 192*x^2 - 24*x^3 + E*(-384*x + 288*x^2 - 48*x^3) + E^2*(96*x^2 - 24*x^3))*Log[-4 + x]^2)/(-512 + 384*x + 32*x^2 - 56*x^3 + 2*x^5 + E^2*(-128*x^2 - 32*x^3 + 8*x^4 + 2*x^5) + E*(512*x - 128*x^2 - 96*x^3 + 8*x^4 + 4*x^5) + (256 - 256*x + 48*x^2 + 16*x^3 - 4*x^4 + E*(-256*x + 128*x^2 + 16*x^3 - 8*x^4) + E^2*(64*x^2 - 4*x^4))*Log[-4 + x] + (-32 + 40*x - 16*x^2 + 2*x^3 + E^2*(-8*x^2 + 2*x^3) + E*(32*x - 24*x^2 + 4*x^3))*Log[-4 + x]^2),x]","-\frac{3}{2} \left(-\frac{x^2}{(e x+x-2) (x-\log (x-4)+4)}+8 x-32\right)","3 x \left(\frac{x}{(2 (e x+x)-4) (x-\log (x-4)+4)}-4\right)",1,"(-3*(-32 + 8*x - x^2/((-2 + x + E*x)*(4 + x - Log[-4 + x]))))/2","A",1
5728,1,84,31,0.1239292,"\int \frac{-32-112 x-152 x^2-100 x^3-96 x^4-164 x^5-128 x^6-32 x^7+\left(128 x^3+320 x^4+256 x^5+64 x^6\right) \log (3)+\left(-64 x^2-160 x^3-128 x^4-32 x^5\right) \log ^2(3)+\left(-64 x-160 x^2-144 x^3-312 x^4-712 x^5-576 x^6-128 x^7+\left(384 x^3+1088 x^4+896 x^5+192 x^6\right) \log (3)+\left(-128 x^2-384 x^3-320 x^4-64 x^5\right) \log ^2(3)\right) \log (x)}{8 x+12 x^2+6 x^3+x^4} \, dx","Integrate[(-32 - 112*x - 152*x^2 - 100*x^3 - 96*x^4 - 164*x^5 - 128*x^6 - 32*x^7 + (128*x^3 + 320*x^4 + 256*x^5 + 64*x^6)*Log[3] + (-64*x^2 - 160*x^3 - 128*x^4 - 32*x^5)*Log[3]^2 + (-64*x - 160*x^2 - 144*x^3 - 312*x^4 - 712*x^5 - 576*x^6 - 128*x^7 + (384*x^3 + 1088*x^4 + 896*x^5 + 192*x^6)*Log[3] + (-128*x^2 - 384*x^3 - 320*x^4 - 64*x^5)*Log[3]^2)*Log[x])/(8*x + 12*x^2 + 6*x^3 + x^4),x]","-\frac{4 \left(24 x^6-16 x^5 (\log (27)-3)+x^4 \left(27+24 \log ^2(3)-264 \log (3)+56 \log (27)\right)+2 x^3 \left(9+24 \log ^2(3)+648 \log (3)-224 \log (27)\right)+3 x^2 \left(13+8 \log ^2(3)\right)+36 x+12\right) \log (x)}{3 (x+2)^2}","3-2 (x+1)^2 \left(\frac{16 x^2 (\log (3)-x)^2}{(x+2)^2}+2\right) \log (x)",1,"(-4*(12 + 36*x + 24*x^6 + 3*x^2*(13 + 8*Log[3]^2) + 2*x^3*(9 + 648*Log[3] + 24*Log[3]^2 - 224*Log[27]) - 16*x^5*(-3 + Log[27]) + x^4*(27 - 264*Log[3] + 24*Log[3]^2 + 56*Log[27]))*Log[x])/(3*(2 + x)^2)","B",1
5729,1,114,34,0.5258176,"\int \frac{e^x \left(64 x^4+16 e^{10} x^4-64 x^5+16 x^6+e^5 \left(-64 x^4+32 x^5\right)\right)+e^{2 x} \left(16 x-28 x^2+8 x^3-128 x^5-32 e^{10} x^5+128 x^6-32 x^7+e^5 \left(-8 x+8 x^2+128 x^5-64 x^6\right)\right)+e^{3 x} \left(-24 x^2+56 x^3-36 x^4+8 x^5+96 x^6-96 x^7+24 x^8+e^{10} \left(8 x^3+24 x^6\right)+e^5 \left(12 x^2-36 x^3+16 x^4-96 x^6+48 x^7\right)\right)+e^{4 x} \left(2-2 x+8 x^3-37 x^4+32 x^5-8 x^6-32 x^7+32 x^8-8 x^9+e^{10} \left(-8 x^4-8 x^7\right)+e^5 \left(-1-4 x^3+32 x^4-16 x^5+32 x^7-16 x^8\right)\right)+e^{5 x} \left(4 x^2-4 x^3+x^4+8 x^5-8 x^6+2 x^7+4 x^8-4 x^9+x^{10}+e^{10} \left(x^2+2 x^5+x^8\right)+e^5 \left(-4 x^2+2 x^3-8 x^5+4 x^6-4 x^8+2 x^9\right)\right)}{64 x^4+16 e^{10} x^4-64 x^5+16 x^6+e^5 \left(-64 x^4+32 x^5\right)+e^x \left(-128 x^5-32 e^{10} x^5+128 x^6-32 x^7+e^5 \left(128 x^5-64 x^6\right)\right)+e^{2 x} \left(32 x^3-32 x^4+8 x^5+96 x^6-96 x^7+24 x^8+e^{10} \left(8 x^3+24 x^6\right)+e^5 \left(-32 x^3+16 x^4-96 x^6+48 x^7\right)\right)+e^{3 x} \left(-32 x^4+32 x^5-8 x^6-32 x^7+32 x^8-8 x^9+e^{10} \left(-8 x^4-8 x^7\right)+e^5 \left(32 x^4-16 x^5+32 x^7-16 x^8\right)\right)+e^{4 x} \left(4 x^2-4 x^3+x^4+8 x^5-8 x^6+2 x^7+4 x^8-4 x^9+x^{10}+e^{10} \left(x^2+2 x^5+x^8\right)+e^5 \left(-4 x^2+2 x^3-8 x^5+4 x^6-4 x^8+2 x^9\right)\right)} \, dx","Integrate[(E^x*(64*x^4 + 16*E^10*x^4 - 64*x^5 + 16*x^6 + E^5*(-64*x^4 + 32*x^5)) + E^(2*x)*(16*x - 28*x^2 + 8*x^3 - 128*x^5 - 32*E^10*x^5 + 128*x^6 - 32*x^7 + E^5*(-8*x + 8*x^2 + 128*x^5 - 64*x^6)) + E^(3*x)*(-24*x^2 + 56*x^3 - 36*x^4 + 8*x^5 + 96*x^6 - 96*x^7 + 24*x^8 + E^10*(8*x^3 + 24*x^6) + E^5*(12*x^2 - 36*x^3 + 16*x^4 - 96*x^6 + 48*x^7)) + E^(4*x)*(2 - 2*x + 8*x^3 - 37*x^4 + 32*x^5 - 8*x^6 - 32*x^7 + 32*x^8 - 8*x^9 + E^10*(-8*x^4 - 8*x^7) + E^5*(-1 - 4*x^3 + 32*x^4 - 16*x^5 + 32*x^7 - 16*x^8)) + E^(5*x)*(4*x^2 - 4*x^3 + x^4 + 8*x^5 - 8*x^6 + 2*x^7 + 4*x^8 - 4*x^9 + x^10 + E^10*(x^2 + 2*x^5 + x^8) + E^5*(-4*x^2 + 2*x^3 - 8*x^5 + 4*x^6 - 4*x^8 + 2*x^9)))/(64*x^4 + 16*E^10*x^4 - 64*x^5 + 16*x^6 + E^5*(-64*x^4 + 32*x^5) + E^x*(-128*x^5 - 32*E^10*x^5 + 128*x^6 - 32*x^7 + E^5*(128*x^5 - 64*x^6)) + E^(2*x)*(32*x^3 - 32*x^4 + 8*x^5 + 96*x^6 - 96*x^7 + 24*x^8 + E^10*(8*x^3 + 24*x^6) + E^5*(-32*x^3 + 16*x^4 - 96*x^6 + 48*x^7)) + E^(3*x)*(-32*x^4 + 32*x^5 - 8*x^6 - 32*x^7 + 32*x^8 - 8*x^9 + E^10*(-8*x^4 - 8*x^7) + E^5*(32*x^4 - 16*x^5 + 32*x^7 - 16*x^8)) + E^(4*x)*(4*x^2 - 4*x^3 + x^4 + 8*x^5 - 8*x^6 + 2*x^7 + 4*x^8 - 4*x^9 + x^10 + E^10*(x^2 + 2*x^5 + x^8) + E^5*(-4*x^2 + 2*x^3 - 8*x^5 + 4*x^6 - 4*x^8 + 2*x^9))),x]","\frac{e^x \left(e^{2 x+5} \left(x^4+x\right)-4 e^{x+5} x^3+4 (x-2) x^2+4 e^5 x^2+e^{2 x} \left(x^4-2 x^3+x-2\right) x+e^x \left(-4 x^4+8 x^3+1\right)\right)}{x \left(x+e^5-2\right) \left(e^{2 x} \left(x^3+1\right)-4 e^x x^2+4 x\right)}","\frac{1}{\left(x+e^5-2\right) \left(\left(2 e^{-x} x-x^2\right)^2+x\right)}+e^x-2",1,"(E^x*(4*E^5*x^2 + 4*(-2 + x)*x^2 - 4*E^(5 + x)*x^3 + E^x*(1 + 8*x^3 - 4*x^4) + E^(5 + 2*x)*(x + x^4) + E^(2*x)*x*(-2 + x - 2*x^3 + x^4)))/(x*(-2 + E^5 + x)*(4*x - 4*E^x*x^2 + E^(2*x)*(1 + x^3)))","B",1
5730,1,27,29,0.1208074,"\int \frac{-20 x^3-10 x^5+\left(20 x+10 x^3\right) \log (x)+\left(-10+5 x^2\right) \log ^2(x)+\left(40 x^2+20 x^4+\left(-20-10 x^2\right) \log (x)+\left(-10-5 x^2\right) \log ^2(x)\right) \log \left(\frac{2+x^2}{x}\right)+\left(-20 x-10 x^3\right) \log ^2\left(\frac{2+x^2}{x}\right)}{2 x^2+x^4+\left(-4 x-2 x^3\right) \log \left(\frac{2+x^2}{x}\right)+\left(2+x^2\right) \log ^2\left(\frac{2+x^2}{x}\right)} \, dx","Integrate[(-20*x^3 - 10*x^5 + (20*x + 10*x^3)*Log[x] + (-10 + 5*x^2)*Log[x]^2 + (40*x^2 + 20*x^4 + (-20 - 10*x^2)*Log[x] + (-10 - 5*x^2)*Log[x]^2)*Log[(2 + x^2)/x] + (-20*x - 10*x^3)*Log[(2 + x^2)/x]^2)/(2*x^2 + x^4 + (-4*x - 2*x^3)*Log[(2 + x^2)/x] + (2 + x^2)*Log[(2 + x^2)/x]^2),x]","-5 x^2-\frac{5 x \log ^2(x)}{\log \left(x+\frac{2}{x}\right)-x}","5 \left(x \left(\frac{\log ^2(x)}{x-\log \left(x+\frac{2}{x}\right)}-x\right)-4\right)",1,"-5*x^2 - (5*x*Log[x]^2)/(-x + Log[2/x + x])","A",1
5731,1,20,19,0.615301,"\int \frac{64-32 x+e^{4+x^3} \left(16-8 x+x^2-48 x^3+24 x^4-3 x^5\right)}{256+e^{4+x^3} (128-32 x)+e^{8+2 x^3} \left(16-8 x+x^2\right)} \, dx","Integrate[(64 - 32*x + E^(4 + x^3)*(16 - 8*x + x^2 - 48*x^3 + 24*x^4 - 3*x^5))/(256 + E^(4 + x^3)*(128 - 32*x) + E^(8 + 2*x^3)*(16 - 8*x + x^2)),x]","\frac{(x-4) x}{e^{x^3+4} (x-4)-16}","\frac{x}{e^{x^3+4}-\frac{16}{x-4}}",1,"((-4 + x)*x)/(-16 + E^(4 + x^3)*(-4 + x))","A",1
5732,1,29,30,0.1027307,"\int \frac{9-9 e^x+9 x+\left(36+58 x+6 x^2+e^x \left(-36-22 x-2 x^2\right)\right) \log \left(\frac{1}{5} \left(x^2-e^x x^2+x^3\right)\right)+\left(9-9 e^x+9 x\right) \log ^2\left(\frac{1}{5} \left(x^2-e^x x^2+x^3\right)\right)}{-x^2+e^x x^2-x^3+\left(-2 x^2+2 e^x x^2-2 x^3\right) \log ^2\left(\frac{1}{5} \left(x^2-e^x x^2+x^3\right)\right)+\left(-x^2+e^x x^2-x^3\right) \log ^4\left(\frac{1}{5} \left(x^2-e^x x^2+x^3\right)\right)} \, dx","Integrate[(9 - 9*E^x + 9*x + (36 + 58*x + 6*x^2 + E^x*(-36 - 22*x - 2*x^2))*Log[(x^2 - E^x*x^2 + x^3)/5] + (9 - 9*E^x + 9*x)*Log[(x^2 - E^x*x^2 + x^3)/5]^2)/(-x^2 + E^x*x^2 - x^3 + (-2*x^2 + 2*E^x*x^2 - 2*x^3)*Log[(x^2 - E^x*x^2 + x^3)/5]^2 + (-x^2 + E^x*x^2 - x^3)*Log[(x^2 - E^x*x^2 + x^3)/5]^4),x]","\frac{x+9}{x \left(\log ^2\left(\frac{1}{5} x^2 \left(x-e^x+1\right)\right)+1\right)}","\frac{\frac{9}{x}+1}{\log ^2\left(\frac{1}{5} x^2 \left(x-e^x+1\right)\right)+1}",1,"(9 + x)/(x*(1 + Log[(x^2*(1 - E^x + x))/5]^2))","A",1
5733,1,36,31,0.0627734,"\int \frac{-48-123 x-66 x^2-20 x^3-6 x^4-x^5+\left(18 x+12 x^2+2 x^3\right) \log (4 x)}{9 x^3+6 x^4+x^5} \, dx","Integrate[(-48 - 123*x - 66*x^2 - 20*x^3 - 6*x^4 - x^5 + (18*x + 12*x^2 + 2*x^3)*Log[4*x])/(9*x^3 + 6*x^4 + x^5),x]","\frac{8}{3 x^2}-x+\frac{8}{9 (x+3)}+\frac{73}{9 x}-\frac{2 \log (4 x)}{x}","\frac{-x^2+2 \left(x+\frac{4}{(x+3) x}-\log (4 x)\right)+9}{x}",1,"8/(3*x^2) + 73/(9*x) - x + 8/(9*(3 + x)) - (2*Log[4*x])/x","A",1
5734,1,22,25,0.3819518,"\int \frac{e^8 \left(25 x^2-10 x^3+x^4\right)+\exp \left(\frac{-x+e^8 \left(-10 x+2 x^2\right)}{e^8 (-5+x)}\right) \left(5 x+e^8 \left(-25+60 x-21 x^2+2 x^3\right)\right)}{e^8 \left(25 x^2-10 x^3+x^4\right)} \, dx","Integrate[(E^8*(25*x^2 - 10*x^3 + x^4) + E^((-x + E^8*(-10*x + 2*x^2))/(E^8*(-5 + x)))*(5*x + E^8*(-25 + 60*x - 21*x^2 + 2*x^3)))/(E^8*(25*x^2 - 10*x^3 + x^4)),x]","x+\frac{e^{\left(2-\frac{1}{e^8 (x-5)}\right) x}}{x}","x+\frac{e^{\frac{x}{e^8 (5-x)}+2 x}}{x}-1",1,"E^((2 - 1/(E^8*(-5 + x)))*x)/x + x","A",1
5735,1,24,22,0.1737313,"\int \frac{e^{25/x} (-125-15 x)-5 x^5}{e^{25/x} x^2-2 x^5-x^6} \, dx","Integrate[(E^(25/x)*(-125 - 15*x) - 5*x^5)/(E^(25/x)*x^2 - 2*x^5 - x^6),x]","5 \left(\log \left(e^{25/x}-x^3 (x+2)\right)-3 \log (x)\right)","5 \log \left(e^5 \left(-\frac{e^{25/x}}{x^3}+x+2\right)\right)",1,"5*(-3*Log[x] + Log[E^(25/x) - x^3*(2 + x)])","A",1
5736,1,10,27,0.0013305,"\int \frac{-120+105 x}{x} \, dx","Integrate[(-120 + 105*x)/x,x]","15 (7 x-8 \log (x))","3 \left(40 \left(-\log \left(e^{-x} x\right)-e^4+8\right)-5 x\right)+5",1,"15*(7*x - 8*Log[x])","A",1
5737,1,19,24,0.0775818,"\int \frac{e^{\frac{49+126 x^2+81 x^4-9 x^5}{9 x^4}} \left(-196-252 x^2-9 x^5\right)}{9 x^5} \, dx","Integrate[(E^((49 + 126*x^2 + 81*x^4 - 9*x^5)/(9*x^4))*(-196 - 252*x^2 - 9*x^5))/(9*x^5),x]","e^{\frac{49}{9 x^4}+\frac{14}{x^2}-x+9}","e^{\frac{1}{9} \left(\frac{7 \left(x+\frac{1}{x}\right)}{x}+2\right)^2-x}",1,"E^(9 + 49/(9*x^4) + 14/x^2 - x)","A",1
5738,1,22,21,0.1418057,"\int \frac{e^{-2 x} \left(e^{3+2 x} x^2+e^{3+\frac{12 e^{-2 x}}{x}} (12+24 x)\right)}{x^2} \, dx","Integrate[(E^(3 + 2*x)*x^2 + E^(3 + 12/(E^(2*x)*x))*(12 + 24*x))/(E^(2*x)*x^2),x]","e^3 x-e^{\frac{12 e^{-2 x}}{x}+3}","e^3 \left(x-e^{\frac{12 e^{-2 x}}{x}}+2\right)",1,"-E^(3 + 12/(E^(2*x)*x)) + E^3*x","A",1
5739,0,0,25,0.219223,"\int \frac{e^x \left(-8+e^{20} (-32+6 x)\right) \log \left(\log \left(-\frac{e^{20} x^4}{-1+e^{20} (-4+x)}\right)\right)+e^x \left(1-x+e^{20} \left(4-5 x+x^2\right)\right) \log \left(-\frac{e^{20} x^4}{-1+e^{20} (-4+x)}\right) \log ^2\left(\log \left(-\frac{e^{20} x^4}{-1+e^{20} (-4+x)}\right)\right)}{\left(-x^2+e^{20} \left(-4 x^2+x^3\right)\right) \log \left(-\frac{e^{20} x^4}{-1+e^{20} (-4+x)}\right)} \, dx","Integrate[(E^x*(-8 + E^20*(-32 + 6*x))*Log[Log[-((E^20*x^4)/(-1 + E^20*(-4 + x)))]] + E^x*(1 - x + E^20*(4 - 5*x + x^2))*Log[-((E^20*x^4)/(-1 + E^20*(-4 + x)))]*Log[Log[-((E^20*x^4)/(-1 + E^20*(-4 + x)))]]^2)/((-x^2 + E^20*(-4*x^2 + x^3))*Log[-((E^20*x^4)/(-1 + E^20*(-4 + x)))]),x]","\int \frac{e^x \left(-8+e^{20} (-32+6 x)\right) \log \left(\log \left(-\frac{e^{20} x^4}{-1+e^{20} (-4+x)}\right)\right)+e^x \left(1-x+e^{20} \left(4-5 x+x^2\right)\right) \log \left(-\frac{e^{20} x^4}{-1+e^{20} (-4+x)}\right) \log ^2\left(\log \left(-\frac{e^{20} x^4}{-1+e^{20} (-4+x)}\right)\right)}{\left(-x^2+e^{20} \left(-4 x^2+x^3\right)\right) \log \left(-\frac{e^{20} x^4}{-1+e^{20} (-4+x)}\right)} \, dx","\frac{e^x \log ^2\left(\log \left(\frac{x^4}{-x+\frac{1}{e^{20}}+4}\right)\right)}{x}",1,"Integrate[(E^x*(-8 + E^20*(-32 + 6*x))*Log[Log[-((E^20*x^4)/(-1 + E^20*(-4 + x)))]] + E^x*(1 - x + E^20*(4 - 5*x + x^2))*Log[-((E^20*x^4)/(-1 + E^20*(-4 + x)))]*Log[Log[-((E^20*x^4)/(-1 + E^20*(-4 + x)))]]^2)/((-x^2 + E^20*(-4*x^2 + x^3))*Log[-((E^20*x^4)/(-1 + E^20*(-4 + x)))]), x]","F",-1
5740,1,16,18,0.0080413,"\int \frac{4+(-3-\log (5)) \log (x)}{3+\log (5)} \, dx","Integrate[(4 + (-3 - Log[5])*Log[x])/(3 + Log[5]),x]","x+x (-\log (x))+\frac{4 x}{3+\log (5)}","x+x (-\log (x))+\frac{4 (x+1)}{3+\log (5)}",1,"x + (4*x)/(3 + Log[5]) - x*Log[x]","A",1
5741,1,21,26,0.0616725,"\int \frac{32 x^3-6 x^4+e \left(-2 x-32 x^2+12 x^3\right)+2 x^2 \log \left(e^2 x\right)+\left(e^2 \left(2+32 x-12 x^2\right)+e \left(-32 x^2+6 x^3\right)-2 e x \log \left(e^2 x\right)\right) \log \left(16 x-3 x^2+\log \left(e^2 x\right)\right)}{16 x^2-3 x^3+x \log \left(e^2 x\right)} \, dx","Integrate[(32*x^3 - 6*x^4 + E*(-2*x - 32*x^2 + 12*x^3) + 2*x^2*Log[E^2*x] + (E^2*(2 + 32*x - 12*x^2) + E*(-32*x^2 + 6*x^3) - 2*E*x*Log[E^2*x])*Log[16*x - 3*x^2 + Log[E^2*x]])/(16*x^2 - 3*x^3 + x*Log[E^2*x]),x]","\left(e \log \left(-3 x^2+16 x+\log (x)+2\right)-x\right)^2","\left(e \log \left(\log \left(e^2 x\right)-x (3 x-16)\right)-x\right)^2+1",1,"(-x + E*Log[2 + 16*x - 3*x^2 + Log[x]])^2","A",1
5742,1,37,14,0.0052637,"\int \frac{-800-31920 x+4798 x^2-240 x^3+4 x^4+\left(2+80 x-4 x^2\right) \log (x)}{x} \, dx","Integrate[(-800 - 31920*x + 4798*x^2 - 240*x^3 + 4*x^4 + (2 + 80*x - 4*x^2)*Log[x])/x,x]","x^4-80 x^3+2400 x^2-2 x^2 \log (x)-32000 x+\log ^2(x)+80 x \log (x)-800 \log (x)","\left((20-x)^2-\log (x)\right)^2",1,"-32000*x + 2400*x^2 - 80*x^3 + x^4 - 800*Log[x] + 80*x*Log[x] - 2*x^2*Log[x] + Log[x]^2","B",1
5743,1,26,33,0.1212627,"\int \frac{-800 x-40 x^5+\left(800 x+800 x^3-280 x^5-40 x^7\right) \log (x)+\left(-100-200 x^2+75 x^4+10 x^6\right) \log ^3(x)+\left(-80 x^5 \log (x)+20 x^4 \log ^3(x)\right) \log \left(\frac{-4 x^2+x \log ^2(x)}{\log ^2(x)}\right)}{\left(-1600 x^2-160 x^6-4 x^{10}\right) \log (x)+\left(400 x+40 x^5+x^9\right) \log ^3(x)} \, dx","Integrate[(-800*x - 40*x^5 + (800*x + 800*x^3 - 280*x^5 - 40*x^7)*Log[x] + (-100 - 200*x^2 + 75*x^4 + 10*x^6)*Log[x]^3 + (-80*x^5*Log[x] + 20*x^4*Log[x]^3)*Log[(-4*x^2 + x*Log[x]^2)/Log[x]^2])/((-1600*x^2 - 160*x^6 - 4*x^10)*Log[x] + (400*x + 40*x^5 + x^9)*Log[x]^3),x]","-\frac{5 \left(x^2+\log \left(x-\frac{4 x^2}{\log ^2(x)}\right)+4\right)}{x^4+20}","\frac{-x^2-\log \left(x-\frac{4 x^2}{\log ^2(x)}\right)-4}{\frac{x^4}{5}+4}",1,"(-5*(4 + x^2 + Log[x - (4*x^2)/Log[x]^2]))/(20 + x^4)","A",1
5744,1,15,15,0.0240291,"\int \frac{-36 e^{\frac{6}{x^2}}+54 x^4+e^{\frac{3}{x^2}} \left(108 x-18 x^3\right)}{x^3} \, dx","Integrate[(-36*E^(6/x^2) + 54*x^4 + E^(3/x^2)*(108*x - 18*x^3))/x^3,x]","3 \left(e^{\frac{3}{x^2}}-3 x\right)^2","3 \left(e^{\frac{3}{x^2}}-3 x\right)^2",1,"3*(E^(3/x^2) - 3*x)^2","A",1
5745,1,34,29,2.1816295,"\int \frac{2 x^2+e^{\frac{-1+x+x^2+\log ^2(x)}{x}} \left(1+x^2+2 \log (x)-\log ^2(x)\right)}{2 e^{\frac{-1+x+x^2+\log ^2(x)}{x}} x^2+4 x^3} \, dx","Integrate[(2*x^2 + E^((-1 + x + x^2 + Log[x]^2)/x)*(1 + x^2 + 2*Log[x] - Log[x]^2))/(2*E^((-1 + x + x^2 + Log[x]^2)/x)*x^2 + 4*x^3),x]","\frac{x \log \left(2 e^{\frac{1}{x}} x+e^{x+\frac{\log ^2(x)}{x}+1}\right)-1}{2 x}","\frac{1}{4} \log \left(\left(-e^{\frac{x^2+x+\log ^2(x)-1}{x}}-2 x\right)^2\right)",1,"(-1 + x*Log[E^(1 + x + Log[x]^2/x) + 2*E^x^(-1)*x])/(2*x)","A",1
5746,1,21,21,1.1407515,"\int \frac{e^{\frac{x^3}{4+2 x+\log (2+x)}} \left(16+16 x+28 x^2+19 x^3+4 x^4+\left(8+4 x+6 x^2+3 x^3\right) \log (2+x)+\log ^2(2+x)\right)}{16+16 x+4 x^2+(8+4 x) \log (2+x)+\log ^2(2+x)} \, dx","Integrate[(E^(x^3/(4 + 2*x + Log[2 + x]))*(16 + 16*x + 28*x^2 + 19*x^3 + 4*x^4 + (8 + 4*x + 6*x^2 + 3*x^3)*Log[2 + x] + Log[2 + x]^2))/(16 + 16*x + 4*x^2 + (8 + 4*x)*Log[2 + x] + Log[2 + x]^2),x]","(x+2) e^{\frac{x^3}{2 x+\log (x+2)+4}}","(x+2) e^{\frac{x^3}{2 x+\log (x+2)+4}}",1,"E^(x^3/(4 + 2*x + Log[2 + x]))*(2 + x)","A",1
5747,1,25,26,0.3814278,"\int \frac{e^{-2-\log ^2\left(-2 x-x^2\right)} \left(-2-x+e^{2+\log ^2\left(-2 x-x^2\right)} \left(2+x+e^5 (2+x)\right)+(4+4 x) \log (x) \log \left(-2 x-x^2\right)\right)}{2 x+x^2} \, dx","Integrate[(E^(-2 - Log[-2*x - x^2]^2)*(-2 - x + E^(2 + Log[-2*x - x^2]^2)*(2 + x + E^5*(2 + x)) + (4 + 4*x)*Log[x]*Log[-2*x - x^2]))/(2*x + x^2),x]","\left(-e^{-\log ^2(-x (x+2))-2}+1+e^5\right) \log (x)","\left(-e^{-\log ^2((-x-2) x)-2}+1+e^5\right) \log (x)",1,"(1 + E^5 - E^(-2 - Log[-(x*(2 + x))]^2))*Log[x]","A",1
5748,1,28,25,0.1250028,"\int \frac{-16 x+(5+8 x) \log \left(\frac{25+80 x+64 x^2}{64 \log ^2(12)}\right)+e^{4 x^2} \left(40 x+64 x^2\right) \log ^2\left(\frac{25+80 x+64 x^2}{64 \log ^2(12)}\right)}{(5+8 x) \log ^2\left(\frac{25+80 x+64 x^2}{64 \log ^2(12)}\right)} \, dx","Integrate[(-16*x + (5 + 8*x)*Log[(25 + 80*x + 64*x^2)/(64*Log[12]^2)] + E^(4*x^2)*(40*x + 64*x^2)*Log[(25 + 80*x + 64*x^2)/(64*Log[12]^2)]^2)/((5 + 8*x)*Log[(25 + 80*x + 64*x^2)/(64*Log[12]^2)]^2),x]","e^{4 x^2}+\frac{x}{\log \left(\frac{(8 x+5)^2}{64 \log ^2(12)}\right)}","e^{4 x^2}+\frac{x}{\log \left(\frac{\left(x+\frac{5}{8}\right)^2}{\log ^2(12)}\right)}",1,"E^(4*x^2) + x/Log[(5 + 8*x)^2/(64*Log[12]^2)]","A",1
5749,1,13,18,0.029962,"\int e^{24 x-48 x^2} (288-1152 x) \, dx","Integrate[E^(24*x - 48*x^2)*(288 - 1152*x),x]","12 e^{24 x-48 x^2}","12 e^{-12 x (4 x-2)}-e^4",1,"12*E^(24*x - 48*x^2)","A",1
5750,1,69,34,1.0032269,"\int \frac{-400-100 x-800 x^2+1240 x^3-816 x^4+774 x^5-736 x^6+368 x^7-88 x^8+8 x^9+e^{4 x} \left(-16 x+4 x^2\right)+e^{3 x} \left(-32 x-56 x^2+64 x^3-12 x^4\right)+e^{2 x} \left(-40-170 x-152 x^2+144 x^3+72 x^4-72 x^5+12 x^6\right)+e^x \left(-480 x+120 x^2-204 x^3+696 x^4-448 x^5+72 x^6+16 x^7-4 x^8\right)+\left(-400+100 x-1600 x^2+2560 x^3-1968 x^4+2272 x^5-2208 x^6+1104 x^7-264 x^8+24 x^9+e^{4 x} \left(-48 x+12 x^2\right)+e^{3 x} \left(-96 x-168 x^2+192 x^3-36 x^4\right)+e^{2 x} \left(-80-320 x-496 x^2+432 x^3+216 x^4-216 x^5+36 x^6\right)+e^x \left(-960 x+320 x^2-832 x^3+2128 x^4-1344 x^5+216 x^6+48 x^7-12 x^8\right)\right) \log (-4+x)+\left(-800 x^2+1320 x^3-1408 x^4+2202 x^5-2208 x^6+1104 x^7-264 x^8+24 x^9+e^{4 x} \left(-48 x+12 x^2\right)+e^{3 x} \left(-96 x-168 x^2+192 x^3-36 x^4\right)+e^{2 x} \left(-40-150 x-536 x^2+432 x^3+216 x^4-216 x^5+36 x^6\right)+e^x \left(-480 x+200 x^2-1012 x^3+2168 x^4-1344 x^5+216 x^6+48 x^7-12 x^8\right)\right) \log ^2(-4+x)+\left(-256 x^4+704 x^5-736 x^6+368 x^7-88 x^8+8 x^9+e^{4 x} \left(-16 x+4 x^2\right)+e^{3 x} \left(-32 x-56 x^2+64 x^3-12 x^4\right)+e^{2 x} \left(-192 x^2+144 x^3+72 x^4-72 x^5+12 x^6\right)+e^x \left(-384 x^3+736 x^4-448 x^5+72 x^6+16 x^7-4 x^8\right)\right) \log ^3(-4+x)+\left(-200-150 x-320 x^2+520 x^3-240 x^4+30 x^5+e^{2 x} \left(-90 x+20 x^2\right)+e^x \left(-160 x+100 x^3-20 x^4\right)+\left(-200+50 x-640 x^2+1080 x^3-520 x^4+70 x^5+e^{2 x} \left(-170 x+40 x^2\right)+e^x \left(-320 x+40 x^2+180 x^3-40 x^4\right)\right) \log (-4+x)+\left(-320 x^2+560 x^3-280 x^4+40 x^5+e^{2 x} \left(-80 x+20 x^2\right)+e^x \left(-160 x+40 x^2+80 x^3-20 x^4\right)\right) \log ^2(-4+x)\right) \log (x)-50 x \log ^2(x)}{-100 x+25 x^2+\left(-300 x+75 x^2\right) \log (-4+x)+\left(-300 x+75 x^2\right) \log ^2(-4+x)+\left(-100 x+25 x^2\right) \log ^3(-4+x)} \, dx","Integrate[(-400 - 100*x - 800*x^2 + 1240*x^3 - 816*x^4 + 774*x^5 - 736*x^6 + 368*x^7 - 88*x^8 + 8*x^9 + E^(4*x)*(-16*x + 4*x^2) + E^(3*x)*(-32*x - 56*x^2 + 64*x^3 - 12*x^4) + E^(2*x)*(-40 - 170*x - 152*x^2 + 144*x^3 + 72*x^4 - 72*x^5 + 12*x^6) + E^x*(-480*x + 120*x^2 - 204*x^3 + 696*x^4 - 448*x^5 + 72*x^6 + 16*x^7 - 4*x^8) + (-400 + 100*x - 1600*x^2 + 2560*x^3 - 1968*x^4 + 2272*x^5 - 2208*x^6 + 1104*x^7 - 264*x^8 + 24*x^9 + E^(4*x)*(-48*x + 12*x^2) + E^(3*x)*(-96*x - 168*x^2 + 192*x^3 - 36*x^4) + E^(2*x)*(-80 - 320*x - 496*x^2 + 432*x^3 + 216*x^4 - 216*x^5 + 36*x^6) + E^x*(-960*x + 320*x^2 - 832*x^3 + 2128*x^4 - 1344*x^5 + 216*x^6 + 48*x^7 - 12*x^8))*Log[-4 + x] + (-800*x^2 + 1320*x^3 - 1408*x^4 + 2202*x^5 - 2208*x^6 + 1104*x^7 - 264*x^8 + 24*x^9 + E^(4*x)*(-48*x + 12*x^2) + E^(3*x)*(-96*x - 168*x^2 + 192*x^3 - 36*x^4) + E^(2*x)*(-40 - 150*x - 536*x^2 + 432*x^3 + 216*x^4 - 216*x^5 + 36*x^6) + E^x*(-480*x + 200*x^2 - 1012*x^3 + 2168*x^4 - 1344*x^5 + 216*x^6 + 48*x^7 - 12*x^8))*Log[-4 + x]^2 + (-256*x^4 + 704*x^5 - 736*x^6 + 368*x^7 - 88*x^8 + 8*x^9 + E^(4*x)*(-16*x + 4*x^2) + E^(3*x)*(-32*x - 56*x^2 + 64*x^3 - 12*x^4) + E^(2*x)*(-192*x^2 + 144*x^3 + 72*x^4 - 72*x^5 + 12*x^6) + E^x*(-384*x^3 + 736*x^4 - 448*x^5 + 72*x^6 + 16*x^7 - 4*x^8))*Log[-4 + x]^3 + (-200 - 150*x - 320*x^2 + 520*x^3 - 240*x^4 + 30*x^5 + E^(2*x)*(-90*x + 20*x^2) + E^x*(-160*x + 100*x^3 - 20*x^4) + (-200 + 50*x - 640*x^2 + 1080*x^3 - 520*x^4 + 70*x^5 + E^(2*x)*(-170*x + 40*x^2) + E^x*(-320*x + 40*x^2 + 180*x^3 - 40*x^4))*Log[-4 + x] + (-320*x^2 + 560*x^3 - 280*x^4 + 40*x^5 + E^(2*x)*(-80*x + 20*x^2) + E^x*(-160*x + 40*x^2 + 80*x^3 - 20*x^4))*Log[-4 + x]^2)*Log[x] - 50*x*Log[x]^2)/(-100*x + 25*x^2 + (-300*x + 75*x^2)*Log[-4 + x] + (-300*x + 75*x^2)*Log[-4 + x]^2 + (-100*x + 25*x^2)*Log[-4 + x]^3),x]","\frac{\left(x^4-4 x^3-2 e^x x^2+4 x^2+4 e^x x+e^{2 x}+\left(e^x-(x-2) x\right)^2 \log (x-4)+5 \log (x)+10\right)^2}{25 (\log (x-4)+1)^2}","\left(\frac{1}{5} \left(-x^2+2 x+e^x\right)^2+\frac{\log (x)+2}{\log (x-4)+1}\right)^2",1,"(10 + E^(2*x) + 4*E^x*x + 4*x^2 - 2*E^x*x^2 - 4*x^3 + x^4 + (E^x - (-2 + x)*x)^2*Log[-4 + x] + 5*Log[x])^2/(25*(1 + Log[-4 + x])^2)","B",1
5751,1,28,30,0.1209627,"\int \frac{e^{-2+x^2} \left(-32-40 x+32 x^2+70 x^3+36 x^4-20 x^5+2 x^6\right) \log ^2(8)}{25 x^3} \, dx","Integrate[(E^(-2 + x^2)*(-32 - 40*x + 32*x^2 + 70*x^3 + 36*x^4 - 20*x^5 + 2*x^6)*Log[8]^2)/(25*x^3),x]","\frac{e^{x^2-2} \left(x^2-5 x-4\right)^2 \log ^2(8)}{25 x^2}","\frac{e^{x^2-2} \left(\frac{1}{5} \left(4-x^2\right)+x\right)^2 \log ^2(8)}{x^2}",1,"(E^(-2 + x^2)*(-4 - 5*x + x^2)^2*Log[8]^2)/(25*x^2)","A",1
5752,1,8,11,0.0008654,"\int \frac{4-4 x}{x} \, dx","Integrate[(4 - 4*x)/x,x]","4 \log (x)-4 x","4 (-x+\log (x)+1)-1",1,"-4*x + 4*Log[x]","A",1
5753,1,47,30,0.3434916,"\int \frac{1}{125} \left(-6+140 x-450 x^2-500 x^3+e^{1+2 x+x^2+(-2-2 x) \log (3)+\log ^2(3)} (250+250 x-250 \log (3))\right) \, dx","Integrate[(-6 + 140*x - 450*x^2 - 500*x^3 + E^(1 + 2*x + x^2 + (-2 - 2*x)*Log[3] + Log[3]^2)*(250 + 250*x - 250*Log[3]))/125,x]","-x^4-\frac{6 x^3}{5}+\frac{14 x^2}{25}+3^{-2 x-2} e^{x^2+2 x+1+\log ^2(3)}-\frac{6 x}{125}","x^2-\left(\left(\frac{1}{5}-x\right)^2+x\right)^2+e^{(-x-1+\log (3))^2}",1,"3^(-2 - 2*x)*E^(1 + 2*x + x^2 + Log[3]^2) - (6*x)/125 + (14*x^2)/25 - (6*x^3)/5 - x^4","A",1
5754,1,23,24,0.1295059,"\int \frac{16+8 x+e^{\frac{x^2}{2}} \left(4+98 x-4 x^2-x^3\right)}{9216-768 x-176 x^2+8 x^3+x^4} \, dx","Integrate[(16 + 8*x + E^(x^2/2)*(4 + 98*x - 4*x^2 - x^3))/(9216 - 768*x - 176*x^2 + 8*x^3 + x^4),x]","-\frac{e^{\frac{x^2}{2}}+4}{x^2+4 x-96}","\frac{e^{\frac{x^2}{2}}+4}{(8-x) (x+12)}",1,"-((4 + E^(x^2/2))/(-96 + 4*x + x^2))","A",1
5755,1,15,17,0.0173608,"\int \frac{3+e^x \left(8 x^3+4 x^4\right)}{4 x^3} \, dx","Integrate[(3 + E^x*(8*x^3 + 4*x^4))/(4*x^3),x]","e^x (x+1)-\frac{3}{8 x^2}","-\frac{3}{8 x^2}+e^x x+e^x+5",1,"-3/(8*x^2) + E^x*(1 + x)","A",1
5756,0,0,23,3.827069,"\int \frac{-10 x-x^2+\left(-75+20 x+17 x^2+2 x^3\right) \log (3)}{\left(-5 x^2-x^3+\left(-75 x-5 x^2+7 x^3+x^4\right) \log (3)\right) \log \left(\frac{-x^2+\left(-15 x+2 x^2+x^3\right) \log (3)}{5+x}\right) \log \left(5 \log \left(\frac{-x^2+\left(-15 x+2 x^2+x^3\right) \log (3)}{5+x}\right)\right)} \, dx","Integrate[(-10*x - x^2 + (-75 + 20*x + 17*x^2 + 2*x^3)*Log[3])/((-5*x^2 - x^3 + (-75*x - 5*x^2 + 7*x^3 + x^4)*Log[3])*Log[(-x^2 + (-15*x + 2*x^2 + x^3)*Log[3])/(5 + x)]*Log[5*Log[(-x^2 + (-15*x + 2*x^2 + x^3)*Log[3])/(5 + x)]]),x]","\int \frac{-10 x-x^2+\left(-75+20 x+17 x^2+2 x^3\right) \log (3)}{\left(-5 x^2-x^3+\left(-75 x-5 x^2+7 x^3+x^4\right) \log (3)\right) \log \left(\frac{-x^2+\left(-15 x+2 x^2+x^3\right) \log (3)}{5+x}\right) \log \left(5 \log \left(\frac{-x^2+\left(-15 x+2 x^2+x^3\right) \log (3)}{5+x}\right)\right)} \, dx","\log \left(\log \left(5 \log \left((x-3) x \log (3)-\frac{x^2}{x+5}\right)\right)\right)",1,"Integrate[(-10*x - x^2 + (-75 + 20*x + 17*x^2 + 2*x^3)*Log[3])/((-5*x^2 - x^3 + (-75*x - 5*x^2 + 7*x^3 + x^4)*Log[3])*Log[(-x^2 + (-15*x + 2*x^2 + x^3)*Log[3])/(5 + x)]*Log[5*Log[(-x^2 + (-15*x + 2*x^2 + x^3)*Log[3])/(5 + x)]]), x]","F",-1
5757,1,19,20,0.0425324,"\int \frac{-2 x+e^{-3-x^2} \left(-4 x-2 x^3\right) \log \left(2+x^2\right)}{\left(2+x^2\right) \log \left(2+x^2\right)} \, dx","Integrate[(-2*x + E^(-3 - x^2)*(-4*x - 2*x^3)*Log[2 + x^2])/((2 + x^2)*Log[2 + x^2]),x]","e^{-x^2-3}-\log \left(\log \left(x^2+2\right)\right)","e^{-x^2-3}-\log \left(\log \left(x^2+2\right)\right)+5",1,"E^(-3 - x^2) - Log[Log[2 + x^2]]","A",1
5758,1,28,17,0.0592958,"\int \frac{1}{5} \left(46+2^{4 x} (5+20 x \log (2))+2^{2 x} (30+60 x \log (2))\right) \, dx","Integrate[(46 + 2^(4*x)*(5 + 20*x*Log[2]) + 2^(2*x)*(30 + 60*x*Log[2]))/5,x]","\frac{1}{5} \left(5\ 16^x x+46 x+\frac{15\ 4^{x+1} x \log (2)}{\log (4)}\right)","x \left(2^{2 x}+3\right)^2+\frac{x}{5}",1,"(46*x + 5*16^x*x + (15*4^(1 + x)*x*Log[2])/Log[4])/5","A",1
5759,1,38,32,0.1320835,"\int \frac{e^{2+e^{-e^{2 x}+x}+x} \left(12+84 x-28 x^2+160 x^3+320 x^4+e^{-e^{2 x}+x} \left(-12 x-28 x^2+160 x^3+320 x^4+e^{2 x} \left(24 x+56 x^2-320 x^3-640 x^4\right)\right)\right)}{x^2+8 x^3+16 x^4} \, dx","Integrate[(E^(2 + E^(-E^(2*x) + x) + x)*(12 + 84*x - 28*x^2 + 160*x^3 + 320*x^4 + E^(-E^(2*x) + x)*(-12*x - 28*x^2 + 160*x^3 + 320*x^4 + E^(2*x)*(24*x + 56*x^2 - 320*x^3 - 640*x^4))))/(x^2 + 8*x^3 + 16*x^4),x]","-\frac{4 e^{x+e^{x-e^{2 x}}+2} \left(-20 x^2-5 x+3\right)}{x (4 x+1)}","4 e^{x+e^{x-e^{2 x}}+2} \left(5-\frac{3}{x (4 x+1)}\right)",1,"(-4*E^(2 + E^(-E^(2*x) + x) + x)*(3 - 5*x - 20*x^2))/(x*(1 + 4*x))","A",1
5760,1,27,27,0.2864864,"\int \frac{15-15 x+e^{x^2} \left(-3+3 x+6 x^2\right)+e^{x+x^2} \left(-3+6 x+6 x^2\right)}{-5 x+e^{x^2} x+e^{x+x^2} x} \, dx","Integrate[(15 - 15*x + E^x^2*(-3 + 3*x + 6*x^2) + E^(x + x^2)*(-3 + 6*x + 6*x^2))/(-5*x + E^x^2*x + E^(x + x^2)*x),x]","3 \left(\log \left(-e^{x^2}-e^{x^2+x}+5\right)+x-\log (x)\right)","3 \left(\log \left(\frac{-e^{x^2}-e^{x^2+x}+5}{x}\right)+x\right)",1,"3*(x + Log[5 - E^x^2 - E^(x + x^2)] - Log[x])","A",1
5761,1,11,12,0.0045035,"\int \frac{-1-4 x+e^x x}{x} \, dx","Integrate[(-1 - 4*x + E^x*x)/x,x]","-4 x+e^x-\log (x)","-4 x+e^x-\log (x)-2",1,"E^x - 4*x - Log[x]","A",1
5762,1,31,33,0.1143548,"\int \frac{5-15 e^{4+e^5+2 x}+\left(-1+e^{4+e^5+2 x}\right) \log \left(e^{1-e^5} \left(1-e^{4+e^5+2 x}\right)\right)}{25-25 e^{4+e^5+2 x}+\left(-5+5 e^{4+e^5+2 x}\right) \log \left(e^{1-e^5} \left(1-e^{4+e^5+2 x}\right)\right)} \, dx","Integrate[(5 - 15*E^(4 + E^5 + 2*x) + (-1 + E^(4 + E^5 + 2*x))*Log[E^(1 - E^5)*(1 - E^(4 + E^5 + 2*x))])/(25 - 25*E^(4 + E^5 + 2*x) + (-5 + 5*E^(4 + E^5 + 2*x))*Log[E^(1 - E^5)*(1 - E^(4 + E^5 + 2*x))]),x]","\frac{1}{5} \left(x-5 \log \left(-\log \left(1-e^{2 x+e^5+4}\right)+e^5+4\right)\right)","\log \left(\frac{e^{x/5}}{\log \left(e^{1-e^5}-e^{2 x+5}\right)-5}\right)",1,"(x - 5*Log[4 + E^5 - Log[1 - E^(4 + E^5 + 2*x)]])/5","A",1
5763,1,46,28,0.0485503,"\int \frac{-11+409 x+420 x^2+100 x^3+\left(200+520 x+280 x^2+20 x^3\right) \log (x)+\left(160+180 x+40 x^2\right) \log ^2(x)+(20+20 x) \log ^3(x)}{-11 x+100 x^2+100 x^3+\left(220 x^2+20 x^3\right) \log (x)+\left(100 x+40 x^2\right) \log ^2(x)+20 x \log ^3(x)} \, dx","Integrate[(-11 + 409*x + 420*x^2 + 100*x^3 + (200 + 520*x + 280*x^2 + 20*x^3)*Log[x] + (160 + 180*x + 40*x^2)*Log[x]^2 + (20 + 20*x)*Log[x]^3)/(-11*x + 100*x^2 + 100*x^3 + (220*x^2 + 20*x^3)*Log[x] + (100*x + 40*x^2)*Log[x]^2 + 20*x*Log[x]^3),x]","\log \left(-100 x^2-20 x^2 \log (x)-100 x-20 \log ^3(x)-40 x \log ^2(x)-100 \log ^2(x)-220 x \log (x)+11\right)+x+\log (x)","x+\log \left(\frac{9 x}{20}-x \left(1-(\log (x)+5) \left(x+(x+\log (x))^2\right)\right)\right)",1,"x + Log[x] + Log[11 - 100*x - 100*x^2 - 220*x*Log[x] - 20*x^2*Log[x] - 100*Log[x]^2 - 40*x*Log[x]^2 - 20*Log[x]^3]","A",1
5764,1,25,25,5.0572713,"\int \frac{\left(-8 x-4 x^2\right) \log \left(\frac{2+x}{x}\right)+\left(6+8 x+\left(-6-11 x-4 x^2\right) \log \left(\frac{2+x}{x}\right)\right) \log (3+4 x)}{\left(6 x+11 x^2+4 x^3\right) \log \left(\frac{2+x}{x}\right) \log (3+4 x)} \, dx","Integrate[((-8*x - 4*x^2)*Log[(2 + x)/x] + (6 + 8*x + (-6 - 11*x - 4*x^2)*Log[(2 + x)/x])*Log[3 + 4*x])/((6*x + 11*x^2 + 4*x^3)*Log[(2 + x)/x]*Log[3 + 4*x]),x]","-\log (x)-\log \left(\log \left(\frac{x+2}{x}\right)\right)-\log (\log (4 x+3))","\log \left(\frac{\log (2)}{x \log \left(\frac{2}{x}+1\right) \log (4 x+3)}\right)",1,"-Log[x] - Log[Log[(2 + x)/x]] - Log[Log[3 + 4*x]]","A",1
5765,1,32,30,0.0915888,"\int \frac{4 e^5-5 x+\left(-e^5 x^2+x^3\right) \log \left(9 e^5 x^4-9 x^5\right)+\left(-e^5+x\right) \log \left(9 e^5 x^4-9 x^5\right) \log \left(\frac{1}{5} \log \left(9 e^5 x^4-9 x^5\right)\right)}{\left(-4 x^3-4 x^4-x^5+e^5 \left(4 x^2+4 x^3+x^4\right)\right) \log \left(9 e^5 x^4-9 x^5\right)+\left(4 x^2+2 x^3+e^5 \left(-4 x-2 x^2\right)\right) \log \left(9 e^5 x^4-9 x^5\right) \log \left(\frac{1}{5} \log \left(9 e^5 x^4-9 x^5\right)\right)+\left(e^5-x\right) \log \left(9 e^5 x^4-9 x^5\right) \log ^2\left(\frac{1}{5} \log \left(9 e^5 x^4-9 x^5\right)\right)} \, dx","Integrate[(4*E^5 - 5*x + (-(E^5*x^2) + x^3)*Log[9*E^5*x^4 - 9*x^5] + (-E^5 + x)*Log[9*E^5*x^4 - 9*x^5]*Log[Log[9*E^5*x^4 - 9*x^5]/5])/((-4*x^3 - 4*x^4 - x^5 + E^5*(4*x^2 + 4*x^3 + x^4))*Log[9*E^5*x^4 - 9*x^5] + (4*x^2 + 2*x^3 + E^5*(-4*x - 2*x^2))*Log[9*E^5*x^4 - 9*x^5]*Log[Log[9*E^5*x^4 - 9*x^5]/5] + (E^5 - x)*Log[9*E^5*x^4 - 9*x^5]*Log[Log[9*E^5*x^4 - 9*x^5]/5]^2),x]","-\frac{x}{\log \left(\frac{1}{5} \log \left(9 \left(e^5-x\right) x^4\right)\right)-x^2-2 x}","\frac{x}{x (x+2)-\log \left(\frac{1}{5} \log \left(9 \left(e^5-x\right) x^4\right)\right)}",1,"-(x/(-2*x - x^2 + Log[Log[9*(E^5 - x)*x^4]/5]))","A",1
5766,1,12,29,0.0043018,"\int e^{10-11 x} (-11-11 \log (5)) \, dx","Integrate[E^(10 - 11*x)*(-11 - 11*Log[5]),x]","e^{10-11 x} (1+\log (5))","e^{\frac{10 x}{\frac{x}{x-x^2}-1}-x} (1+\log (5))",1,"E^(10 - 11*x)*(1 + Log[5])","A",1
5767,1,29,29,1.8634331,"\int \frac{100 x+800 x^5+\left(-125-750 x^4\right) \log (2)+\left(-25 x-150 x^5+\left(25+150 x^4\right) \log (2)\right) \log \left(\frac{1}{5} (-x+\log (2))\right)}{-100 x^3+100 x^2 \log (2)+\left(40 x^3-40 x^2 \log (2)\right) \log \left(\frac{1}{5} (-x+\log (2))\right)+\left(-4 x^3+4 x^2 \log (2)\right) \log ^2\left(\frac{1}{5} (-x+\log (2))\right)} \, dx","Integrate[(100*x + 800*x^5 + (-125 - 750*x^4)*Log[2] + (-25*x - 150*x^5 + (25 + 150*x^4)*Log[2])*Log[(-x + Log[2])/5])/(-100*x^3 + 100*x^2*Log[2] + (40*x^3 - 40*x^2*Log[2])*Log[(-x + Log[2])/5] + (-4*x^3 + 4*x^2*Log[2])*Log[(-x + Log[2])/5]^2),x]","\frac{25 \left(2 x^4-1\right)}{4 x \left(\log \left(\frac{1}{5} (\log (2)-x)\right)-5\right)}","\frac{25 \left(4 x^4-2\right)}{8 x \left(\log \left(\frac{1}{5} (\log (2)-x)\right)-5\right)}",1,"(25*(-1 + 2*x^4))/(4*x*(-5 + Log[(-x + Log[2])/5]))","A",1
5768,1,20,19,0.001734,"\int \frac{-2+2 x}{25 e^{24} x^3} \, dx","Integrate[(-2 + 2*x)/(25*E^24*x^3),x]","\frac{2 \left(\frac{1}{2 x^2}-\frac{1}{x}\right)}{25 e^{24}}","\frac{\left(x-x^2\right)^2}{25 e^{24} x^4}",1,"(2*(1/(2*x^2) - x^(-1)))/(25*E^24)","A",1
5769,1,25,25,0.1121358,"\int \frac{-4 x+\left(-4+e^x (1-x)\right) \log \left(x^4\right)+\left(\left(-4+e^x-x\right) \log \left(x^4\right)+x \log \left(x^4\right) \log \left(\log \left(x^4\right)\right)\right) \log \left(\frac{x}{-8+2 e^x-2 x+2 x \log \left(\log \left(x^4\right)\right)}\right)}{\left(-4+e^x-x\right) \log \left(x^4\right)+x \log \left(x^4\right) \log \left(\log \left(x^4\right)\right)} \, dx","Integrate[(-4*x + (-4 + E^x*(1 - x))*Log[x^4] + ((-4 + E^x - x)*Log[x^4] + x*Log[x^4]*Log[Log[x^4]])*Log[x/(-8 + 2*E^x - 2*x + 2*x*Log[Log[x^4]])])/((-4 + E^x - x)*Log[x^4] + x*Log[x^4]*Log[Log[x^4]]),x]","x \log \left(\frac{x}{2 \left(x \log \left(\log \left(x^4\right)\right)-x+e^x-4\right)}\right)","x \log \left(\frac{x}{2 \left(x \log \left(\log \left(x^4\right)\right)-x+e^x-4\right)}\right)",1,"x*Log[x/(2*(-4 + E^x - x + x*Log[Log[x^4]]))]","A",1
5770,1,7,15,0.0000643,"\int \frac{4 \log (3)}{5} \, dx","Integrate[(4*Log[3])/5,x]","\frac{4}{5} x \log (3)","-\left(\left(\frac{x+5}{5}-x\right) \log (3)\right)",1,"(4*x*Log[3])/5","A",1
5771,1,19,22,0.0641675,"\int \frac{-32 e^x x^3+e^{2 x} (-448+128 x)+\left(8 x^6+e^x \left(128 x^3-32 x^4\right)\right) \log (x)-4 x^6 \log ^2(x)}{x^8} \, dx","Integrate[(-32*E^x*x^3 + E^(2*x)*(-448 + 128*x) + (8*x^6 + E^x*(128*x^3 - 32*x^4))*Log[x] - 4*x^6*Log[x]^2)/x^8,x]","\frac{4 \left(x^3 \log (x)-4 e^x\right)^2}{x^7}","\frac{4 \left(\left(\frac{4 e^x}{x^3}-\log (x)\right)^2+x\right)}{x}",1,"(4*(-4*E^x + x^3*Log[x])^2)/x^7","A",1
5772,1,37,27,0.0794288,"\int \frac{e^{-x} \left(-54 x^2+6 x^4+e^x \left(36+42 x+4 x^2\right)+e^x \left(-36 x-12 x^2\right) \log \left(3 x+x^2\right)\right)}{9+3 x} \, dx","Integrate[(-54*x^2 + 6*x^4 + E^x*(36 + 42*x + 4*x^2) + E^x*(-36*x - 12*x^2)*Log[3*x + x^2])/(E^x*(9 + 3*x)),x]","-2 e^{-x} x^3+\frac{8 x^2}{3}-2 x^2 \log (x (x+3))+4 x+24-\log (387420489)","2 x \left(\frac{4 x}{3}-\left(x \left(e^{-x} x+\log (x (x+3))\right)\right)+2\right)",1,"24 + 4*x + (8*x^2)/3 - (2*x^3)/E^x - Log[387420489] - 2*x^2*Log[x*(3 + x)]","A",1
5773,1,31,33,1.8032878,"\int \frac{e^{2 e^{\frac{4+2 x-x^2}{x}}+2 x^2+2 x \log (3)} \left(4 x^3+e^{\frac{4+2 x-x^2}{x}} \left(-8-2 x^2\right)+2 x^2 \log (3)\right)+x^2 \log ^2(\log (5))}{x^2 \log ^2(\log (5))} \, dx","Integrate[(E^(2*E^((4 + 2*x - x^2)/x) + 2*x^2 + 2*x*Log[3])*(4*x^3 + E^((4 + 2*x - x^2)/x)*(-8 - 2*x^2) + 2*x^2*Log[3]) + x^2*Log[Log[5]]^2)/(x^2*Log[Log[5]]^2),x]","\frac{9^x e^{2 \left(x^2+e^{-x+\frac{4}{x}+2}\right)}}{\log ^2(\log (5))}+x","x+\frac{e^{2 e^{-x+\frac{4}{x}+2}+2 x (x+\log (3))}}{\log ^2(\log (5))}+5",1,"x + (9^x*E^(2*(E^(2 + 4/x - x) + x^2)))/Log[Log[5]]^2","A",1
5774,1,42,27,0.1734249,"\int \frac{e^3 \left(x^2-2 x^3+x^4\right) \log ^3(x)+e^{\frac{1}{x^2 \log ^2(x)}} \left(-6+6 x+(-8+8 x) \log (x)+(-2+2 x) \log ^2(x)+\left(x^2+2 x^3\right) \log ^3(x)+x^3 \log ^4(x)\right)}{\left(x^3-2 x^4+x^5\right) \log ^3(x)} \, dx","Integrate[(E^3*(x^2 - 2*x^3 + x^4)*Log[x]^3 + E^(1/(x^2*Log[x]^2))*(-6 + 6*x + (-8 + 8*x)*Log[x] + (-2 + 2*x)*Log[x]^2 + (x^2 + 2*x^3)*Log[x]^3 + x^3*Log[x]^4))/((x^3 - 2*x^4 + x^5)*Log[x]^3),x]","\frac{-e^{\frac{1}{x^2 \log ^2(x)}} \log (x)-3 e^{\frac{1}{x^2 \log ^2(x)}}+e^3 (x-1) \log (x)}{x-1}","\left(\frac{e^{\frac{1}{x^2 \log ^2(x)}}}{1-x}+e^3\right) (\log (x)+3)",1,"(-3*E^(1/(x^2*Log[x]^2)) - E^(1/(x^2*Log[x]^2))*Log[x] + E^3*(-1 + x)*Log[x])/(-1 + x)","A",1
5775,1,22,23,0.0463712,"\int \frac{e (14-7 x)-21 x+56 x^2-21 x^3+(-14+7 x) \log (4-2 x)}{\left(-2 x^2+3 x^3-x^4+e \left(2 x-x^2\right)+\left(-2 x+x^2\right) \log (4-2 x)\right) \log ^2\left(e x-x^2+x^3-x \log (4-2 x)\right)} \, dx","Integrate[(E*(14 - 7*x) - 21*x + 56*x^2 - 21*x^3 + (-14 + 7*x)*Log[4 - 2*x])/((-2*x^2 + 3*x^3 - x^4 + E*(2*x - x^2) + (-2*x + x^2)*Log[4 - 2*x])*Log[E*x - x^2 + x^3 - x*Log[4 - 2*x]]^2),x]","-\frac{7}{\log (x ((x-1) x-\log (4-2 x)+e))}","-\frac{7}{\log \left(x \left(x^2-x-\log (4-2 x)+e\right)\right)}",1,"-7/Log[x*(E + (-1 + x)*x - Log[4 - 2*x])]","A",1
5776,1,32,26,0.223,"\int \frac{e^{-4+x} (-4+4 x)+\left(-36 e^{-3+x}+4 x\right) \log ^2\left(e^{3-x} \left(-9 e^{-3+x}+x\right)\right)}{\left(9 e^{-7+2 x}-e^{-4+x} x\right) \log ^2\left(e^{3-x} \left(-9 e^{-3+x}+x\right)\right)} \, dx","Integrate[(E^(-4 + x)*(-4 + 4*x) + (-36*E^(-3 + x) + 4*x)*Log[E^(3 - x)*(-9*E^(-3 + x) + x)]^2)/((9*E^(-7 + 2*x) - E^(-4 + x)*x)*Log[E^(3 - x)*(-9*E^(-3 + x) + x)]^2),x]","4 e^3 \left(e^{1-x}-\frac{1}{e^3 \log \left(e^{3-x} x-9\right)}\right)","4 e^{4-x}-\frac{4}{\log \left(e^{3-x} x-9\right)}",1,"4*E^3*(E^(1 - x) - 1/(E^3*Log[-9 + E^(3 - x)*x]))","A",1
5777,1,22,22,0.1510454,"\int \frac{e^{-2 x^2} \left(-2-8 x^2-e^{2 x^2} x^2+\left(x^2-4 x^4\right) \log (8)\right)}{x^2} \, dx","Integrate[(-2 - 8*x^2 - E^(2*x^2)*x^2 + (x^2 - 4*x^4)*Log[8])/(E^(2*x^2)*x^2),x]","e^{-2 x^2} \left(\frac{2}{x}+x \log (8)\right)-x","e^{-2 x^2} \left(\frac{2}{x}+x \log (8)\right)-x",1,"-x + (2/x + x*Log[8])/E^(2*x^2)","A",1
5778,1,30,31,0.0169288,"\int \frac{-250+75 x+e \left(-25 x^2+30 x^3-x^4\right)}{e \left(400 x^3-160 x^4+16 x^5\right)} \, dx","Integrate[(-250 + 75*x + E*(-25*x^2 + 30*x^3 - x^4))/(E*(400*x^3 - 160*x^4 + 16*x^5)),x]","-\frac{\frac{5 \left(4 e x^2+5\right)}{(x-5) x^2}+e \log (x)}{16 e}","\frac{1}{16} \left(\frac{x^2+\frac{25}{e x^2}-5}{5-x}+x-\log (x)\right)",1,"-1/16*((5*(5 + 4*E*x^2))/((-5 + x)*x^2) + E*Log[x])/E","A",1
5779,1,39,34,0.1222897,"\int \frac{-5+2 x+5 x^2+3 x^3+4 x^4-x^5+e^{x^2} \left(10 x^3+8 x^4-12 x^5-8 x^6+2 x^7\right)+\left(5+4 x-11 x^2+2 x^3\right) \log \left(\frac{5 x-6 x^2+x^3}{e^2}\right)}{5 x^2+4 x^3-6 x^4-4 x^5+x^6} \, dx","Integrate[(-5 + 2*x + 5*x^2 + 3*x^3 + 4*x^4 - x^5 + E^x^2*(10*x^3 + 8*x^4 - 12*x^5 - 8*x^6 + 2*x^7) + (5 + 4*x - 11*x^2 + 2*x^3)*Log[(5*x - 6*x^2 + x^3)/E^2])/(5*x^2 + 4*x^3 - 6*x^4 - 4*x^5 + x^6),x]","\frac{e^{x^2} x (x+1)-\log \left(x \left(x^2-6 x+5\right)\right)+2}{x (x+1)}-\log (x)","e^{x^2}-\frac{\log \left(\frac{(x-5) \left(x^2-x\right)}{e^2}\right)}{x^2+x}-\log (x)",1,"-Log[x] + (2 + E^x^2*x*(1 + x) - Log[x*(5 - 6*x + x^2)])/(x*(1 + x))","A",1
5780,1,22,23,0.0726214,"\int \frac{\left(-18-6 x+9 x^2+3 x^3\right) \log ^2(x) \log \left(2 x-x^3\right)+\log ^3(x) \left(12+4 x-18 x^2-6 x^3+\left(30+8 x-15 x^2-4 x^3\right) \log \left(2 x-x^3\right)\right)}{\left(-2 x^6+x^8\right) \log ^3\left(2 x-x^3\right)} \, dx","Integrate[((-18 - 6*x + 9*x^2 + 3*x^3)*Log[x]^2*Log[2*x - x^3] + Log[x]^3*(12 + 4*x - 18*x^2 - 6*x^3 + (30 + 8*x - 15*x^2 - 4*x^3)*Log[2*x - x^3]))/((-2*x^6 + x^8)*Log[2*x - x^3]^3),x]","\frac{(x+3) \log ^3(x)}{x^5 \log ^2\left(-x \left(x^2-2\right)\right)}","\frac{(x+3) \log ^3(x)}{x^5 \log ^2\left(x \left(2-x^2\right)\right)}",1,"((3 + x)*Log[x]^3)/(x^5*Log[-(x*(-2 + x^2))]^2)","A",1
5781,1,21,20,0.0118282,"\int \frac{-e^{e^{255 e^6}}+3 x^4}{5 x^2} \, dx","Integrate[(-E^E^(255*E^6) + 3*x^4)/(5*x^2),x]","\frac{1}{5} \left(x^3+\frac{e^{e^{255 e^6}}}{x}\right)","\frac{x^4+e^{e^{255 e^6}}}{5 x}",1,"(E^E^(255*E^6)/x + x^3)/5","A",1
5782,1,21,22,0.0821233,"\int \frac{-3-3 x+e^{x^2} (1+x)+\left(-3 x+e^{x^2} \left(x-2 x^2\right)\right) \log \left(e^x x\right)}{\left(-3 x+e^{x^2} x\right) \log \left(e^x x\right)} \, dx","Integrate[(-3 - 3*x + E^x^2*(1 + x) + (-3*x + E^x^2*(x - 2*x^2))*Log[E^x*x])/((-3*x + E^x^2*x)*Log[E^x*x]),x]","-\log \left(3-e^{x^2}\right)+x+\log \left(\log \left(e^x x\right)\right)","\log \left(\frac{e^x \log \left(e^x x\right)}{3-e^{x^2}}\right)",1,"x - Log[3 - E^x^2] + Log[Log[E^x*x]]","A",1
5783,1,17,17,0.1439634,"\int \frac{e^{-8+\frac{1}{9 e^8 x^2}+3 e^{\frac{1}{9 e^8 x^2}} x} \left(-2+9 e^8 x^2\right)}{3 x^2} \, dx","Integrate[(E^(-8 + 1/(9*E^8*x^2) + 3*E^(1/(9*E^8*x^2))*x)*(-2 + 9*E^8*x^2))/(3*x^2),x]","e^{3 e^{\frac{1}{9 e^8 x^2}} x}","e^{3 e^{\frac{1}{9 e^8 x^2}} x}",1,"E^(3*E^(1/(9*E^8*x^2))*x)","A",1
5784,1,58,33,0.0997283,"\int \frac{-1125-2325 x-335 x^2+849 x^3-216 x^4+16 x^5+\left(-150 x-140 x^2+74 x^3-8 x^4\right) \log (5-x)+\left(-500 x+300 x^2-60 x^3+4 x^4\right) \log ^2(5-x)+\left(-90-222 x-112 x^2+32 x^3\right) \log (x)+\left(-18 x-48 x^2-32 x^3\right) \log ^2(x)}{-1125 x-2325 x^2-335 x^3+849 x^4-216 x^5+16 x^6} \, dx","Integrate[(-1125 - 2325*x - 335*x^2 + 849*x^3 - 216*x^4 + 16*x^5 + (-150*x - 140*x^2 + 74*x^3 - 8*x^4)*Log[5 - x] + (-500*x + 300*x^2 - 60*x^3 + 4*x^4)*Log[5 - x]^2 + (-90 - 222*x - 112*x^2 + 32*x^3)*Log[x] + (-18*x - 48*x^2 - 32*x^3)*Log[x]^2)/(-1125*x - 2325*x^2 - 335*x^3 + 849*x^4 - 216*x^5 + 16*x^6),x]","-\frac{\log ^2(5-x)}{4 x+3}+\frac{\log ^2(x)}{(x-5)^2}+\log (x)-\frac{2}{23} \log \left(\frac{23}{4}\right) \log (4 x+3)+\frac{2}{23} \log \left(\frac{23}{4}\right) \log (8 x+6)","-\frac{\log ^2(5-x)}{4 x+3}+\frac{\log ^2(x)}{(5-x)^2}+\log (x)-3",1,"-(Log[5 - x]^2/(3 + 4*x)) + Log[x] + Log[x]^2/(-5 + x)^2 - (2*Log[23/4]*Log[3 + 4*x])/23 + (2*Log[23/4]*Log[6 + 8*x])/23","A",1
5785,1,11,12,0.0065415,"\int \left(-1-e^{7-x}\right) \, dx","Integrate[-1 - E^(7 - x),x]","e^{7-x}-x","-x+e^{7-x}+5",1,"E^(7 - x) - x","A",1
5786,1,19,24,0.0203557,"\int \frac{10 x}{\log ^2\left(\frac{1}{e^4 x^2}\right)+2 \log \left(\frac{1}{e^4 x^2}\right) \log \left(4 x^2\right)+\log ^2\left(4 x^2\right)} \, dx","Integrate[(10*x)/(Log[1/(E^4*x^2)]^2 + 2*Log[1/(E^4*x^2)]*Log[4*x^2] + Log[4*x^2]^2),x]","\frac{5 x^2}{\left(\log \left(\frac{1}{x^2}\right)+\log \left(4 x^2\right)-4\right)^2}","\frac{5 x^2}{\left(\log \left(\frac{1}{e^4 x^2}\right)+\log \left(4 x^2\right)\right)^2}+16",1,"(5*x^2)/(-4 + Log[x^(-2)] + Log[4*x^2])^2","A",1
5787,1,17,19,0.0704521,"\int \frac{2 x+e^{26+e^{2 x}+x} \left(3-x-2 e^{2 x} x\right)}{x^4} \, dx","Integrate[(2*x + E^(26 + E^(2*x) + x)*(3 - x - 2*E^(2*x)*x))/x^4,x]","-\frac{x+e^{x+e^{2 x}+26}}{x^3}","10-\frac{x+e^{x+e^{2 x}+26}}{x^3}",1,"-((E^(26 + E^(2*x) + x) + x)/x^3)","A",1
5788,1,28,27,0.0548115,"\int \frac{-8-4 x+24 x^2-32 x^3+\left(8+2 x-8 x^2+8 x^3\right) \log ^2\left(\frac{1}{4} \left(4 x+x^2-4 x^3+4 x^4\right)\right)}{\left(4 x+x^2-4 x^3+4 x^4\right) \log \left(e^{\frac{1}{\log \left(\frac{1}{4} \left(4 x+x^2-4 x^3+4 x^4\right)\right)}} x\right) \log ^2\left(\frac{1}{4} \left(4 x+x^2-4 x^3+4 x^4\right)\right)} \, dx","Integrate[(-8 - 4*x + 24*x^2 - 32*x^3 + (8 + 2*x - 8*x^2 + 8*x^3)*Log[(4*x + x^2 - 4*x^3 + 4*x^4)/4]^2)/((4*x + x^2 - 4*x^3 + 4*x^4)*Log[E^Log[(4*x + x^2 - 4*x^3 + 4*x^4)/4]^(-1)*x]*Log[(4*x + x^2 - 4*x^3 + 4*x^4)/4]^2),x]","2 \log \left(\log \left(x e^{\frac{1}{\log \left(x^4-x^3+\frac{x^2}{4}+x\right)}}\right)\right)","\log \left(\log ^2\left(x e^{\frac{1}{\log \left(\frac{1}{4} (1-2 x)^2 x^2+x\right)}}\right)\right)",1,"2*Log[Log[E^Log[x + x^2/4 - x^3 + x^4]^(-1)*x]]","A",1
5789,1,25,29,0.0105277,"\int \frac{-4-188 x-2275 x^2+1250 x^3}{4+196 x+2306 x^2-2325 x^3+625 x^4} \, dx","Integrate[(-4 - 188*x - 2275*x^2 + 1250*x^3)/(4 + 196*x + 2306*x^2 - 2325*x^3 + 625*x^4),x]","\log \left(25 x^3-94 x^2+96 x+4\right)-\log (25 x+1)","\log \left(-(2-x)^2-\frac{x}{\frac{1}{5 x}+5}\right)+\frac{1}{4}",1,"-Log[1 + 25*x] + Log[4 + 96*x - 94*x^2 + 25*x^3]","A",1
5790,1,39,23,0.130286,"\int \frac{x^2+e^{10} x^2-2 x^3+2 x^4+x^6+e^{-147+x} \left(-1+e^5 (-1+x)+x-3 x^2+x^3\right)+e^5 \left(2 x^2+2 x^4\right)}{x^2+e^{10} x^2+2 x^4+x^6+e^5 \left(2 x^2+2 x^4\right)} \, dx","Integrate[(x^2 + E^10*x^2 - 2*x^3 + 2*x^4 + x^6 + E^(-147 + x)*(-1 + E^5*(-1 + x) + x - 3*x^2 + x^3) + E^5*(2*x^2 + 2*x^4))/(x^2 + E^10*x^2 + 2*x^4 + x^6 + E^5*(2*x^2 + 2*x^4)),x]","\frac{e^{147} \left(x^3+x+1\right) x+e^{152} x^2+e^x}{e^{147} x \left(x^2+e^5+1\right)}","\frac{x+e^{x-147}}{\left(x^2+e^5+1\right) x}+x",1,"(E^x + E^152*x^2 + E^147*x*(1 + x + x^3))/(E^147*x*(1 + E^5 + x^2))","A",1
5791,1,76,30,0.1549211,"\int \frac{1}{5} \left(5-10 x+30 x^2-25 x^4+\left(40 x-40 x^3\right) \log (4)+\left(10-15 x^2\right) \log ^2(4)+e^{x/5} \left(-5-x-20 x^3-x^4+\left(-30 x^2-2 x^3\right) \log (4)+\left(-10 x-x^2\right) \log ^2(4)\right)\right) \, dx","Integrate[(5 - 10*x + 30*x^2 - 25*x^4 + (40*x - 40*x^3)*Log[4] + (10 - 15*x^2)*Log[4]^2 + E^(x/5)*(-5 - x - 20*x^3 - x^4 + (-30*x^2 - 2*x^3)*Log[4] + (-10*x - x^2)*Log[4]^2))/5,x]","-x^5-2 x^4 \log (4)-x^3 \left(\log ^2(4)-2\right)+x^2 (\log (256)-1)-\frac{1}{5} e^{x/5} \left(5 x^4+10 x^3 \log (4)+5 x^2 \log ^2(4)+5 x\right)+x+2 x \log ^2(4)","x-\left(\left(x+e^{x/5}-\frac{2}{x}\right) x \left(x (x+\log (4))^2+1\right)\right)+5",1,"x - x^5 - 2*x^4*Log[4] + 2*x*Log[4]^2 - x^3*(-2 + Log[4]^2) - (E^(x/5)*(5*x + 5*x^4 + 10*x^3*Log[4] + 5*x^2*Log[4]^2))/5 + x^2*(-1 + Log[256])","B",1
5792,1,11,11,0.005469,"\int -e^{e^{\frac{1}{e^4}}-x} \, dx","Integrate[-E^(E^E^(-4) - x),x]","e^{e^{\frac{1}{e^4}}-x}","e^{e^{\frac{1}{e^4}}-x}",1,"E^(E^E^(-4) - x)","A",1
5793,1,25,25,0.0565199,"\int \frac{\exp \left(\frac{1}{9} e^{-\frac{24 e^5}{5 x}} \left(1+e^{\frac{24 e^5}{5 x}} \left(9 e^x-9 x\right)\right)-\frac{24 e^5}{5 x}\right) \left(8 e^5+e^{\frac{24 e^5}{5 x}} \left(-15 x^2+15 e^x x^2\right)\right)}{15 x^2} \, dx","Integrate[(E^((1 + E^((24*E^5)/(5*x))*(9*E^x - 9*x))/(9*E^((24*E^5)/(5*x))) - (24*E^5)/(5*x))*(8*E^5 + E^((24*E^5)/(5*x))*(-15*x^2 + 15*E^x*x^2)))/(15*x^2),x]","e^{-x+\frac{1}{9} e^{-\frac{24 e^5}{5 x}}+e^x}","e^{-x+\frac{1}{9} e^{-\frac{24 e^5}{5 x}}+e^x}",1,"E^(1/(9*E^((24*E^5)/(5*x))) + E^x - x)","A",1
5794,1,17,16,0.0512649,"\int \frac{1+e+x^x (e (6+4 x)+e (2+4 x) \log (x))}{e} \, dx","Integrate[(1 + E + x^x*(E*(6 + 4*x) + E*(2 + 4*x)*Log[x]))/E,x]","2 (2 x+1) x^x+\frac{x}{e}+x","(4 x+2) x^x+\frac{x}{e}+x",1,"x + x/E + 2*x^x*(1 + 2*x)","A",1
5795,1,18,20,5.0428149,"\int \frac{4 \exp \left(e^{\log ^2\left(\frac{9+6 x+x^2}{e^6}\right)}+\log ^2\left(\frac{9+6 x+x^2}{e^6}\right)\right) \log \left(\frac{9+6 x+x^2}{e^6}\right)}{\left(12+4 x+e^{e^{\log ^2\left(\frac{9+6 x+x^2}{e^6}\right)}} (3+x)\right) \log \left(4+e^{e^{\log ^2\left(\frac{9+6 x+x^2}{e^6}\right)}}\right)} \, dx","Integrate[(4*E^(E^Log[(9 + 6*x + x^2)/E^6]^2 + Log[(9 + 6*x + x^2)/E^6]^2)*Log[(9 + 6*x + x^2)/E^6])/((12 + 4*x + E^E^Log[(9 + 6*x + x^2)/E^6]^2*(3 + x))*Log[4 + E^E^Log[(9 + 6*x + x^2)/E^6]^2]),x]","\log \left(\log \left(e^{e^{\left(\log \left((x+3)^2\right)-6\right)^2}}+4\right)\right)","\log \left(\log \left(e^{e^{\log ^2\left(\frac{(x+3)^2}{e^6}\right)}}+4\right)\right)",1,"Log[Log[4 + E^E^(-6 + Log[(3 + x)^2])^2]]","A",1
5796,1,36,24,0.072663,"\int \frac{12 e^{\frac{4}{\log (x)}}-6 x \log ^2(x)}{e^{\frac{8}{\log (x)}} x \log ^2(x)+e^{\frac{4}{\log (x)}} \left(3 x-2 e x+4 x^2\right) \log ^2(x)+\left(e^2 x+6 x^2+4 x^3+e \left(-3 x-4 x^2\right)\right) \log ^2(x)} \, dx","Integrate[(12*E^(4/Log[x]) - 6*x*Log[x]^2)/(E^(8/Log[x])*x*Log[x]^2 + E^(4/Log[x])*(3*x - 2*E*x + 4*x^2)*Log[x]^2 + (E^2*x + 6*x^2 + 4*x^3 + E*(-3*x - 4*x^2))*Log[x]^2),x]","\log \left(2 x+e^{\frac{4}{\log (x)}}-e+3\right)-\log \left(2 x+e^{\frac{4}{\log (x)}}-e\right)","\log \left(4 \left(-\frac{3}{2 x+e^{\frac{4}{\log (x)}}-e}-1\right)\right)",1,"-Log[-E + E^(4/Log[x]) + 2*x] + Log[3 - E + E^(4/Log[x]) + 2*x]","A",1
5797,1,21,21,0.0433055,"\int \left(3+e^4+18 x+e^{2 e^x-2 x} \left(1-2 x+2 e^x x\right)\right) \, dx","Integrate[3 + E^4 + 18*x + E^(2*E^x - 2*x)*(1 - 2*x + 2*E^x*x),x]","x \left(9 x+e^{2 e^x-2 x}+e^4+3\right)","x \left(9 x+e^{2 e^x-2 x}+e^4+3\right)",1,"x*(3 + E^4 + E^(2*E^x - 2*x) + 9*x)","A",1
5798,1,21,28,0.0605103,"\int \frac{-1-2 x-2 e^3 x+e^x \left(-1-2 e^3 x\right)}{x+e^x x} \, dx","Integrate[(-1 - 2*x - 2*E^3*x + E^x*(-1 - 2*E^3*x))/(x + E^x*x),x]","-2 \left(1+e^3\right) x+2 \log \left(e^x+1\right)-\log (x)","-\log \left(\frac{e^{2 \left(e^3 x+x+\log \left(\frac{x}{e^x+1}\right)\right)}}{x}\right)",1,"-2*(1 + E^3)*x + 2*Log[1 + E^x] - Log[x]","A",1
5799,1,25,30,0.3207906,"\int \frac{-5+20 x+17 x^2+(5-40 x) \log (x)}{\left(4 x^2-15 x^3-4 x^4+\left(-5 x+20 x^2\right) \log (x)\right) \log ^2\left(\frac{x-4 x^2}{-20 x-5 x^2+25 \log (x)}\right)} \, dx","Integrate[(-5 + 20*x + 17*x^2 + (5 - 40*x)*Log[x])/((4*x^2 - 15*x^3 - 4*x^4 + (-5*x + 20*x^2)*Log[x])*Log[(x - 4*x^2)/(-20*x - 5*x^2 + 25*Log[x])]^2),x]","\frac{1}{\log \left(\frac{x (4 x-1)}{5 (x (x+4)-5 \log (x))}\right)}","\frac{1}{\log \left(\frac{1-4 x}{5 \left(-x+\frac{5 (\log (x)-x)}{x}+1\right)}\right)}",1,"Log[(x*(-1 + 4*x))/(5*(x*(4 + x) - 5*Log[x]))]^(-1)","A",1
5800,1,49,23,0.0351058,"\int \frac{3 x^2+8 x^3+x^4+e^2 \left(5+2 x-x^2\right)+e^6 \left(e^2 x^2+2 x^3\right)}{1+8 x+18 x^2+e^{12} x^2+8 x^3+x^4+e^6 \left(2 x+8 x^2+2 x^3\right)} \, dx","Integrate[(3*x^2 + 8*x^3 + x^4 + E^2*(5 + 2*x - x^2) + E^6*(E^2*x^2 + 2*x^3))/(1 + 8*x + 18*x^2 + E^12*x^2 + 8*x^3 + x^4 + E^6*(2*x + 8*x^2 + 2*x^3)),x]","\frac{e^2 (x-1)+e^{12} x-e^8 x+15 x+e^6 (8 x+1)+4}{x^2+\left(4+e^6\right) x+1}+x","\frac{x^2+e^2 (x+5)}{x+\frac{1}{x}+e^6+4}",1,"x + (4 + E^2*(-1 + x) + 15*x - E^8*x + E^12*x + E^6*(1 + 8*x))/(1 + (4 + E^6)*x + x^2)","B",1
5801,1,21,21,0.078917,"\int e^{-e^{3-x+2 x \log (x)}} \left(18+e^{3-x+2 x \log (x)} (18-18 x+(36-36 x) \log (x))\right) \, dx","Integrate[(18 + E^(3 - x + 2*x*Log[x])*(18 - 18*x + (36 - 36*x)*Log[x]))/E^E^(3 - x + 2*x*Log[x]),x]","18 e^{-e^{3-x} x^{2 x}} (x-1)","18 (x-1) e^{-e^{-x+2 x \log (x)+3}}",1,"(18*(-1 + x))/E^(E^(3 - x)*x^(2*x))","A",1
5802,1,23,22,0.4883714,"\int \frac{e^{-\frac{2 x^4}{625+1050 x+641 x^2+168 x^3+16 x^4}} \left(-750 x^3-315 x^4\right)}{15625+39375 x+40575 x^2+21861 x^3+6492 x^4+1008 x^5+64 x^6} \, dx","Integrate[(-750*x^3 - 315*x^4)/(E^((2*x^4)/(625 + 1050*x + 641*x^2 + 168*x^3 + 16*x^4))*(15625 + 39375*x + 40575*x^2 + 21861*x^3 + 6492*x^4 + 1008*x^5 + 64*x^6)),x]","\frac{15}{4} e^{-\frac{2 x^4}{\left(4 x^2+21 x+25\right)^2}}","\frac{15}{4} e^{-\frac{2 x^4}{\left((2 x+5)^2+x\right)^2}}",1,"15/(4*E^((2*x^4)/(25 + 21*x + 4*x^2)^2))","A",1
5803,1,44,25,0.123634,"\int \frac{-9 x-51 x^2+18 x^3+\left(-3 x-35 x^2+12 x^3\right) \log (-3+x)+\left(-6 x^2+2 x^3\right) \log ^2(-3+x)+\left(-216 x+71 x^2+\left(-144 x+48 x^2\right) \log (-3+x)+\left(-24 x+8 x^2\right) \log ^2(-3+x)\right) \log (x)+\left(-234+76 x+(-150+50 x) \log (-3+x)+(-24+8 x) \log ^2(-3+x)\right) \log ^2(x)}{-54 x^2+18 x^3+\left(-36 x^2+12 x^3\right) \log (-3+x)+\left(-6 x^2+2 x^3\right) \log ^2(-3+x)+\left(-216 x+72 x^2+\left(-144 x+48 x^2\right) \log (-3+x)+\left(-24 x+8 x^2\right) \log ^2(-3+x)\right) \log (x)+\left(-216+72 x+(-144+48 x) \log (-3+x)+(-24+8 x) \log ^2(-3+x)\right) \log ^2(x)} \, dx","Integrate[(-9*x - 51*x^2 + 18*x^3 + (-3*x - 35*x^2 + 12*x^3)*Log[-3 + x] + (-6*x^2 + 2*x^3)*Log[-3 + x]^2 + (-216*x + 71*x^2 + (-144*x + 48*x^2)*Log[-3 + x] + (-24*x + 8*x^2)*Log[-3 + x]^2)*Log[x] + (-234 + 76*x + (-150 + 50*x)*Log[-3 + x] + (-24 + 8*x)*Log[-3 + x]^2)*Log[x]^2)/(-54*x^2 + 18*x^3 + (-36*x^2 + 12*x^3)*Log[-3 + x] + (-6*x^2 + 2*x^3)*Log[-3 + x]^2 + (-216*x + 72*x^2 + (-144*x + 48*x^2)*Log[-3 + x] + (-24*x + 8*x^2)*Log[-3 + x]^2)*Log[x] + (-216 + 72*x + (-144 + 48*x)*Log[-3 + x] + (-24 + 8*x)*Log[-3 + x]^2)*Log[x]^2),x]","\frac{1}{2} \left(-\frac{x^2}{2 (\log (x-3)+3) (x+2 \log (x))}+2 x+\frac{x}{2 (\log (x-3)+3)}\right)","x+\frac{x}{2 (\log (x-3)+3) \left(\frac{x}{\log (x)}+2\right)}",1,"(2*x + x/(2*(3 + Log[-3 + x])) - x^2/(2*(3 + Log[-3 + x])*(x + 2*Log[x])))/2","A",1
5804,1,32,34,0.1431006,"\int \frac{e^{-e^x} \left(-32 x^2+8 x^4+8 x^5+\left(-16 x^2+4 x^5\right) \log (5)+e^x \left(8 x^5+8 x^6+4 x^6 \log (5)\right)+\left(64 x+64 x^2+32 x^2 \log (5)+e^x \left(-32 x^2-32 x^3-16 x^3 \log (5)\right)\right) \log (-2-2 x-x \log (5))\right)}{2 x^6+2 x^7+x^7 \log (5)+\left(-16 x^3-16 x^4-8 x^4 \log (5)\right) \log (-2-2 x-x \log (5))+(32+32 x+16 x \log (5)) \log ^2(-2-2 x-x \log (5))} \, dx","Integrate[(-32*x^2 + 8*x^4 + 8*x^5 + (-16*x^2 + 4*x^5)*Log[5] + E^x*(8*x^5 + 8*x^6 + 4*x^6*Log[5]) + (64*x + 64*x^2 + 32*x^2*Log[5] + E^x*(-32*x^2 - 32*x^3 - 16*x^3*Log[5]))*Log[-2 - 2*x - x*Log[5]])/(E^E^x*(2*x^6 + 2*x^7 + x^7*Log[5] + (-16*x^3 - 16*x^4 - 8*x^4*Log[5])*Log[-2 - 2*x - x*Log[5]] + (32 + 32*x + 16*x*Log[5])*Log[-2 - 2*x - x*Log[5]]^2)),x]","\frac{4 e^{-e^x} x^2}{4 \log (-(x (2+\log (5)))-2)-x^3}","\frac{e^{-e^x} x}{\frac{\log (x-(x (3+\log (5)))-2)}{x}-\frac{x^2}{4}}",1,"(4*x^2)/(E^E^x*(-x^3 + 4*Log[-2 - x*(2 + Log[5])]))","A",1
5805,1,17,21,0.238839,"\int \frac{e^{e^{180-2 x} x^8} \left(-1+e^{180-2 x} (8-2 x) x^8\right)}{x^2} \, dx","Integrate[(E^(E^(180 - 2*x)*x^8)*(-1 + E^(180 - 2*x)*(8 - 2*x)*x^8))/x^2,x]","\frac{e^{e^{180-2 x} x^8}}{x}","\frac{e^{e^{2 (-x+4 (\log (x)+3)+78)}}}{x}",1,"E^(E^(180 - 2*x)*x^8)/x","A",1
5806,1,26,32,0.0227871,"\int \frac{-13+e^{1-x} (4-4 x)+3 \log (5)}{3 \log (5)} \, dx","Integrate[(-13 + E^(1 - x)*(4 - 4*x) + 3*Log[5])/(3*Log[5]),x]","\frac{4 e^{1-x} x-13 x+x \log (125)}{3 \log (5)}","x+\frac{x+4 \left(\frac{1}{3} \left(e^{1-x} x-x\right)-x\right)}{\log (5)}",1,"(-13*x + 4*E^(1 - x)*x + x*Log[125])/(3*Log[5])","A",1
5807,1,16,17,0.0626391,"\int \frac{x^{x+x^2} \left(-x^2+\left(1+x-2 x^2\right) \log (x)\right)}{\log (5)} \, dx","Integrate[(x^(x + x^2)*(-x^2 + (1 + x - 2*x^2)*Log[x]))/Log[5],x]","-\frac{(x-1) x^{x (x+1)}}{\log (5)}","\frac{(1-x) x^{x^2+x}}{\log (5)}",1,"-(((-1 + x)*x^(x*(1 + x)))/Log[5])","A",1
5808,1,22,28,0.0440342,"\int \frac{-100+200 e^3-100 e^6+e^{2 x} \left(-18 x^2+18 x^3\right)+e^x \left(90 x-30 x^2+e^3 \left(-90 x+30 x^2\right)\right)}{225 x^5} \, dx","Integrate[(-100 + 200*E^3 - 100*E^6 + E^(2*x)*(-18*x^2 + 18*x^3) + E^x*(90*x - 30*x^2 + E^3*(-90*x + 30*x^2)))/(225*x^5),x]","\frac{\left(3 e^x x+5 e^3-5\right)^2}{225 x^4}","\frac{\left(\frac{e^x}{5}+\frac{e^3-1}{3 x}\right)^2}{x^2}+5",1,"(-5 + 5*E^3 + 3*E^x*x)^2/(225*x^4)","A",1
5809,1,35,32,0.435987,"\int \frac{\exp \left(\frac{32 x+\left(-4+8 x+12 x^2\right) \log (\log (5))}{\left(1-2 x+x^2\right) \log (\log (5))}\right) (-32-32 x-32 x \log (\log (5)))}{\left(-1+3 x-3 x^2+x^3\right) \log (\log (5))} \, dx","Integrate[(E^((32*x + (-4 + 8*x + 12*x^2)*Log[Log[5]])/((1 - 2*x + x^2)*Log[Log[5]]))*(-32 - 32*x - 32*x*Log[Log[5]]))/((-1 + 3*x - 3*x^2 + x^3)*Log[Log[5]]),x]","\exp \left(\frac{12 x^2 \log (\log (5))+8 x (4+\log (\log (5)))-4 \log (\log (5))}{(x-1)^2 \log (\log (5))}\right)","\exp \left(4 \left(\frac{4 \left(x+\frac{2}{\log (\log (5))}\right)}{\frac{(x+1)^2}{x}-4}-1\right)\right)-3",1,"E^((-4*Log[Log[5]] + 12*x^2*Log[Log[5]] + 8*x*(4 + Log[Log[5]]))/((-1 + x)^2*Log[Log[5]]))","A",1
5810,1,24,24,0.1402399,"\int \frac{e^{2 x} (4+16 x)+e^{2 x} \left(x+2 x^2\right) \log ^2\left(3 x+6 x^2\right)+\left(e^{2 x} \left(-4-16 x-16 x^2\right) \log \left(3 x+6 x^2\right)+e^{2 x} \left(4+17 x+20 x^2+4 x^3\right) \log ^2\left(3 x+6 x^2\right)\right) \log \left(\frac{-4+(4+x) \log \left(3 x+6 x^2\right)}{\log \left(3 x+6 x^2\right)}\right)}{(-4-8 x) \log \left(3 x+6 x^2\right)+\left(4+9 x+2 x^2\right) \log ^2\left(3 x+6 x^2\right)} \, dx","Integrate[(E^(2*x)*(4 + 16*x) + E^(2*x)*(x + 2*x^2)*Log[3*x + 6*x^2]^2 + (E^(2*x)*(-4 - 16*x - 16*x^2)*Log[3*x + 6*x^2] + E^(2*x)*(4 + 17*x + 20*x^2 + 4*x^3)*Log[3*x + 6*x^2]^2)*Log[(-4 + (4 + x)*Log[3*x + 6*x^2])/Log[3*x + 6*x^2]])/((-4 - 8*x)*Log[3*x + 6*x^2] + (4 + 9*x + 2*x^2)*Log[3*x + 6*x^2]^2),x]","e^{2 x} x \log \left(x-\frac{4}{\log (3 x (2 x+1))}+4\right)","e^{2 x} x \log \left(x-\frac{4}{\log (3 x (2 x+1))}+4\right)",1,"E^(2*x)*x*Log[4 + x - 4/Log[3*x*(1 + 2*x)]]","A",1
5811,1,27,30,0.2163324,"\int \frac{15 x-50 e^x x+10 e^{2 x} x-5 x^2+\left(15 x-10 x^2\right) \log (x)+\left(-125+50 e^x-5 e^{2 x}+\left(-15 x+5 x^2\right) \log (x)\right) \log \left(25-10 e^x+e^{2 x}+\left(3 x-x^2\right) \log (x)\right) \log \left(\log \left(25-10 e^x+e^{2 x}+\left(3 x-x^2\right) \log (x)\right)\right)}{\left(-25 x+10 e^x x-e^{2 x} x+\left(-3 x^2+x^3\right) \log (x)\right) \log \left(25-10 e^x+e^{2 x}+\left(3 x-x^2\right) \log (x)\right) \log \left(\log \left(25-10 e^x+e^{2 x}+\left(3 x-x^2\right) \log (x)\right)\right) \log ^2\left(\frac{\log \left(\log \left(25-10 e^x+e^{2 x}+\left(3 x-x^2\right) \log (x)\right)\right)}{x}\right)} \, dx","Integrate[(15*x - 50*E^x*x + 10*E^(2*x)*x - 5*x^2 + (15*x - 10*x^2)*Log[x] + (-125 + 50*E^x - 5*E^(2*x) + (-15*x + 5*x^2)*Log[x])*Log[25 - 10*E^x + E^(2*x) + (3*x - x^2)*Log[x]]*Log[Log[25 - 10*E^x + E^(2*x) + (3*x - x^2)*Log[x]]])/((-25*x + 10*E^x*x - E^(2*x)*x + (-3*x^2 + x^3)*Log[x])*Log[25 - 10*E^x + E^(2*x) + (3*x - x^2)*Log[x]]*Log[Log[25 - 10*E^x + E^(2*x) + (3*x - x^2)*Log[x]]]*Log[Log[Log[25 - 10*E^x + E^(2*x) + (3*x - x^2)*Log[x]]]/x]^2),x]","\frac{5}{\log \left(\frac{\log \left(\log \left(\left(e^x-5\right)^2-(x-3) x \log (x)\right)\right)}{x}\right)}","\frac{5}{\log \left(\frac{\log \left(\log \left(\left(5-e^x\right)^2+(3-x) x \log (x)\right)\right)}{x}\right)}",1,"5/Log[Log[Log[(-5 + E^x)^2 - (-3 + x)*x*Log[x]]]/x]","A",1
5812,1,27,26,0.0698321,"\int \frac{\left(-12 x^7+4 x^9+\left(12 x^6-8 x^8\right) \log (4)\right) \log ^3\left(\frac{5 x-5 \log (4)}{x^2}\right)+\left(-8 x^9+8 x^8 \log (4)\right) \log ^4\left(\frac{5 x-5 \log (4)}{x^2}\right)+\log ^3(x) \left(-324 x+108 x^3+\left(324-216 x^2\right) \log (4)+\left(-216 x^3+216 x^2 \log (4)\right) \log \left(\frac{5 x-5 \log (4)}{x^2}\right)\right)+\log ^2(x) \left(\left(-324 x^3+108 x^5+\left(324 x^2-216 x^4\right) \log (4)\right) \log \left(\frac{5 x-5 \log (4)}{x^2}\right)+\left(-216 x^5+216 x^4 \log (4)\right) \log ^2\left(\frac{5 x-5 \log (4)}{x^2}\right)\right)+\log (x) \left(\left(-108 x^5+36 x^7+\left(108 x^4-72 x^6\right) \log (4)\right) \log ^2\left(\frac{5 x-5 \log (4)}{x^2}\right)+\left(-72 x^7+72 x^6 \log (4)\right) \log ^3\left(\frac{5 x-5 \log (4)}{x^2}\right)\right)}{-81 x^2+81 x \log (4)} \, dx","Integrate[((-12*x^7 + 4*x^9 + (12*x^6 - 8*x^8)*Log[4])*Log[(5*x - 5*Log[4])/x^2]^3 + (-8*x^9 + 8*x^8*Log[4])*Log[(5*x - 5*Log[4])/x^2]^4 + Log[x]^3*(-324*x + 108*x^3 + (324 - 216*x^2)*Log[4] + (-216*x^3 + 216*x^2*Log[4])*Log[(5*x - 5*Log[4])/x^2]) + Log[x]^2*((-324*x^3 + 108*x^5 + (324*x^2 - 216*x^4)*Log[4])*Log[(5*x - 5*Log[4])/x^2] + (-216*x^5 + 216*x^4*Log[4])*Log[(5*x - 5*Log[4])/x^2]^2) + Log[x]*((-108*x^5 + 36*x^7 + (108*x^4 - 72*x^6)*Log[4])*Log[(5*x - 5*Log[4])/x^2]^2 + (-72*x^7 + 72*x^6*Log[4])*Log[(5*x - 5*Log[4])/x^2]^3))/(-81*x^2 + 81*x*Log[4]),x]","\frac{1}{81} \left(x^2 \log \left(\frac{5 (x-\log (4))}{x^2}\right)+3 \log (x)\right)^4","\left(\frac{1}{3} x^2 \log \left(\frac{5}{x}-\frac{5 \log (4)}{x^2}\right)+\log (x)\right)^4",1,"(3*Log[x] + x^2*Log[(5*(x - Log[4]))/x^2])^4/81","A",1
5813,1,16,27,0.0603333,"\int \frac{-120+e^{3-x} (20+20 x)}{x^2} \, dx","Integrate[(-120 + E^(3 - x)*(20 + 20*x))/x^2,x]","\frac{20 \left(6-e^{3-x}\right)}{x}","\frac{20 \left(x+\frac{\left(1-e^{3-x}\right) x+x}{x}+4\right)}{x}",1,"(20*(6 - E^(3 - x)))/x","A",1
5814,1,27,21,0.003154,"\int \frac{9-x-10 x^4+2 \log (x)}{5 x^3} \, dx","Integrate[(9 - x - 10*x^4 + 2*Log[x])/(5*x^3),x]","-x^2-\frac{1}{x^2}-\frac{\log (x)}{5 x^2}+\frac{1}{5 x}","-x^2-\frac{-x+\log (x)+5}{5 x^2}+5",1,"-x^(-2) + 1/(5*x) - x^2 - Log[x]/(5*x^2)","A",1
5815,1,18,15,0.00862,"\int \left(25+20 x+3 x^2+e (30+6 x)+e (-10-2 x) \log (4)\right) \, dx","Integrate[25 + 20*x + 3*x^2 + E*(30 + 6*x) + E*(-10 - 2*x)*Log[4],x]","x \left((x+5)^2-e (x+10) (\log (4)-3)\right)","(x+5)^2 (x-e (\log (4)-3))",1,"x*((5 + x)^2 - E*(10 + x)*(-3 + Log[4]))","A",1
5816,1,34,24,0.1621407,"\int \frac{-20 x^2+10 x^3+e^{\frac{13+10 x^2-10 x^3}{10 x}} \left(13-13 x-10 x^2+30 x^3-20 x^4\right)}{-10 x^2+10 x^3} \, dx","Integrate[(-20*x^2 + 10*x^3 + E^((13 + 10*x^2 - 10*x^3)/(10*x))*(13 - 13*x - 10*x^2 + 30*x^3 - 20*x^4))/(-10*x^2 + 10*x^3),x]","\frac{1}{10} \left(10 e^{-x^2+x+\frac{13}{10 x}}+10 x-10 \log (1-x)\right)","x+e^{\frac{13}{10 x}-(x-1) x}-\log (x-1)",1,"(10*E^(13/(10*x) + x - x^2) + 10*x - 10*Log[1 - x])/10","A",1
5817,1,21,22,0.000082,"\int \left(1-40 x-15 x^2+60 x^2 \log ^2(3)\right) \, dx","Integrate[1 - 40*x - 15*x^2 + 60*x^2*Log[3]^2,x]","-5 x^3+20 x^3 \log ^2(3)-20 x^2+x","-5 x^2 \left(x-4 x \log ^2(3)+4\right)+x-e^3",1,"x - 20*x^2 - 5*x^3 + 20*x^3*Log[3]^2","A",1
5818,1,56,27,0.6841357,"\int \frac{e^{2 x^2} \left(-576 x^3+504 x^5\right)+e^{3+x^2} \left(24 x^5+24 x^7\right)}{e^6 x^4+e^{3+x^2} \left(-24 x^2+42 x^4\right)+e^{2 x^2} \left(144-504 x^2+441 x^4\right)} \, dx","Integrate[(E^(2*x^2)*(-576*x^3 + 504*x^5) + E^(3 + x^2)*(24*x^5 + 24*x^7))/(E^6*x^4 + E^(3 + x^2)*(-24*x^2 + 42*x^4) + E^(2*x^2)*(144 - 504*x^2 + 441*x^4)),x]","\frac{4 \left(3 e^{x^2} \left(49 x^4-28 x^2+16\right)-4 e^3 x^2\right)}{49 \left(e^3 x^2+3 e^{x^2} \left(7 x^2-4\right)\right)}","\frac{4 x^2}{\frac{e^{3-x^2}}{3}-\frac{4}{x^2}+7}",1,"(4*(-4*E^3*x^2 + 3*E^x^2*(16 - 28*x^2 + 49*x^4)))/(49*(E^3*x^2 + 3*E^x^2*(-4 + 7*x^2)))","B",1
5819,1,26,35,0.0941856,"\int \frac{-5 x^2+10 x^4+e^{x^2} \left(75-24 x^2\right)+\left(5 x^2+e^{x^2} \left(75+24 x^2\right)\right) \log \left(\frac{e^{-x^2} \left(-5 x^2+e^{x^2} \left(-75-24 x^2\right)\right)}{5 x}\right)}{\left(5 x^2+e^{x^2} \left(75+24 x^2\right)\right) \log ^2\left(\frac{e^{-x^2} \left(-5 x^2+e^{x^2} \left(-75-24 x^2\right)\right)}{5 x}\right)} \, dx","Integrate[(-5*x^2 + 10*x^4 + E^x^2*(75 - 24*x^2) + (5*x^2 + E^x^2*(75 + 24*x^2))*Log[(-5*x^2 + E^x^2*(-75 - 24*x^2))/(5*E^x^2*x)])/((5*x^2 + E^x^2*(75 + 24*x^2))*Log[(-5*x^2 + E^x^2*(-75 - 24*x^2))/(5*E^x^2*x)]^2),x]","\frac{x}{\log \left(\left(-e^{-x^2}-\frac{24}{5}\right) x-\frac{15}{x}\right)}","\frac{x}{\log \left(x \left(\frac{1}{5}-\frac{e^{-x^2} x+5 \left(x+\frac{3}{x}\right)}{x}\right)\right)}",1,"x/Log[-15/x + (-24/5 - E^(-x^2))*x]","A",1
5820,1,201,31,0.7391108,"\int \frac{5 x-x^3+e^2 \left(5-x^2\right)+e^{2 e^{2 e^{\log (x) \log \left(e^2+x\right)}}} \left(e^2+x+\exp \left(2 e^{\log (x) \log \left(e^2+x\right)}+\log (x) \log \left(e^2+x\right)\right) \left(-4 x \log (x)+\left(-4 e^2-4 x\right) \log \left(e^2+x\right)\right)\right)}{25 x-10 x^2+11 x^3-2 x^4+x^5+e^{4 e^{2 e^{\log (x) \log \left(e^2+x\right)}}} \left(e^2+x\right)+e^2 \left(25-10 x+11 x^2-2 x^3+x^4\right)+e^{2 e^{2 e^{\log (x) \log \left(e^2+x\right)}}} \left(10 x-2 x^2+2 x^3+e^2 \left(10-2 x+2 x^2\right)\right)} \, dx","Integrate[(5*x - x^3 + E^2*(5 - x^2) + E^(2*E^(2*E^(Log[x]*Log[E^2 + x])))*(E^2 + x + E^(2*E^(Log[x]*Log[E^2 + x]) + Log[x]*Log[E^2 + x])*(-4*x*Log[x] + (-4*E^2 - 4*x)*Log[E^2 + x])))/(25*x - 10*x^2 + 11*x^3 - 2*x^4 + x^5 + E^(4*E^(2*E^(Log[x]*Log[E^2 + x])))*(E^2 + x) + E^2*(25 - 10*x + 11*x^2 - 2*x^3 + x^4) + E^(2*E^(2*E^(Log[x]*Log[E^2 + x])))*(10*x - 2*x^2 + 2*x^3 + E^2*(10 - 2*x + 2*x^2))),x]","\frac{x \left(4 x \left(x^2-x+5\right) e^{2 x^{\log \left(x+e^2\right)}+\log (x) \log \left(x+e^2\right)} \log (x)+\left(x+e^2\right) \left(-2 x^2+4 \left(x^2-x+5\right) e^{2 x^{\log \left(x+e^2\right)}+\log (x) \log \left(x+e^2\right)} \log \left(x+e^2\right)+x\right)\right)}{\left(e^{2 e^{2 x^{\log \left(x+e^2\right)}}}+x^2-x+5\right) \left(4 \left(x^2-x+5\right) e^{2 x^{\log \left(x+e^2\right)}} \log (x) x^{\log \left(x+e^2\right)+1}+\left(x+e^2\right) \left(-2 x^2+4 \left(x^2-x+5\right) e^{2 x^{\log \left(x+e^2\right)}} \log \left(x+e^2\right) x^{\log \left(x+e^2\right)}+x\right)\right)}","\frac{x}{x^2-x+e^{2 e^{2 e^{\log (x) \log \left(x+e^2\right)}}}+5}",1,"(x*(4*E^(2*x^Log[E^2 + x] + Log[x]*Log[E^2 + x])*x*(5 - x + x^2)*Log[x] + (E^2 + x)*(x - 2*x^2 + 4*E^(2*x^Log[E^2 + x] + Log[x]*Log[E^2 + x])*(5 - x + x^2)*Log[E^2 + x])))/((5 + E^(2*E^(2*x^Log[E^2 + x])) - x + x^2)*(4*E^(2*x^Log[E^2 + x])*x^(1 + Log[E^2 + x])*(5 - x + x^2)*Log[x] + (E^2 + x)*(x - 2*x^2 + 4*E^(2*x^Log[E^2 + x])*x^Log[E^2 + x]*(5 - x + x^2)*Log[E^2 + x])))","B",1
5821,1,20,26,0.1232233,"\int \frac{(-4-2 x) \log ^2\left(8 x+4 x^2\right)+(4+4 x) \log (x) \log \left(8 x+4 x^2\right) \log (\log (x))+\left(\left(2 x+x^2\right) \log (x)+\left(2 x+x^2\right) \log ^2(x)\right) \log ^3(\log (x))}{\left(2 x+x^2\right) \log (x) \log ^3(\log (x))} \, dx","Integrate[((-4 - 2*x)*Log[8*x + 4*x^2]^2 + (4 + 4*x)*Log[x]*Log[8*x + 4*x^2]*Log[Log[x]] + ((2*x + x^2)*Log[x] + (2*x + x^2)*Log[x]^2)*Log[Log[x]]^3)/((2*x + x^2)*Log[x]*Log[Log[x]]^3),x]","\frac{\log ^2(4 x (x+2))}{\log ^2(\log (x))}+x \log (x)","\log \left(3 e^{\frac{\log ^2(4 x (x+2))}{\log ^2(\log (x))}}\right)+x \log (x)+4",1,"x*Log[x] + Log[4*x*(2 + x)]^2/Log[Log[x]]^2","A",1
5822,1,46,33,0.2285094,"\int \frac{8 e^8 x^5+72 x^6-32 x^7+\left(800 x^4+266 x^5-312 x^6+e^8 \left(32 x^3+42 x^4-8 x^5\right)\right) \log (2-x)+\left(3072 x^2+3328 x^3-456 x^4-988 x^5+e^8 \left(52 x^3-26 x^4\right)\right) \log ^2(2-x)+\left(4096+7424 x+2752 x^2-1716 x^3-1014 x^4+e^8 \left(-256-80 x+104 x^2\right)\right) \log ^3(2-x)}{-2 x^9+x^{10}+e^{24} \left(-2 x^6+x^7\right)+e^{16} \left(-6 x^7+3 x^8\right)+e^8 \left(-6 x^8+3 x^9\right)+\left(-24 x^7-6 x^8+9 x^9+e^{24} \left(-24 x^4-6 x^5+9 x^6\right)+e^{16} \left(-72 x^5-18 x^6+27 x^7\right)+e^8 \left(-72 x^6-18 x^7+27 x^8\right)\right) \log (2-x)+\left(-96 x^5-96 x^6+18 x^7+27 x^8+e^{24} \left(-96 x^2-96 x^3+18 x^4+27 x^5\right)+e^{16} \left(-288 x^3-288 x^4+54 x^5+81 x^6\right)+e^8 \left(-288 x^4-288 x^5+54 x^6+81 x^7\right)\right) \log ^2(2-x)+\left(-128 x^3-224 x^4-72 x^5+54 x^6+27 x^7+e^{24} \left(-128-224 x-72 x^2+54 x^3+27 x^4\right)+e^{16} \left(-384 x-672 x^2-216 x^3+162 x^4+81 x^5\right)+e^8 \left(-384 x^2-672 x^3-216 x^4+162 x^5+81 x^6\right)\right) \log ^3(2-x)} \, dx","Integrate[(8*E^8*x^5 + 72*x^6 - 32*x^7 + (800*x^4 + 266*x^5 - 312*x^6 + E^8*(32*x^3 + 42*x^4 - 8*x^5))*Log[2 - x] + (3072*x^2 + 3328*x^3 - 456*x^4 - 988*x^5 + E^8*(52*x^3 - 26*x^4))*Log[2 - x]^2 + (4096 + 7424*x + 2752*x^2 - 1716*x^3 - 1014*x^4 + E^8*(-256 - 80*x + 104*x^2))*Log[2 - x]^3)/(-2*x^9 + x^10 + E^24*(-2*x^6 + x^7) + E^16*(-6*x^7 + 3*x^8) + E^8*(-6*x^8 + 3*x^9) + (-24*x^7 - 6*x^8 + 9*x^9 + E^24*(-24*x^4 - 6*x^5 + 9*x^6) + E^16*(-72*x^5 - 18*x^6 + 27*x^7) + E^8*(-72*x^6 - 18*x^7 + 27*x^8))*Log[2 - x] + (-96*x^5 - 96*x^6 + 18*x^7 + 27*x^8 + E^24*(-96*x^2 - 96*x^3 + 18*x^4 + 27*x^5) + E^16*(-288*x^3 - 288*x^4 + 54*x^5 + 81*x^6) + E^8*(-288*x^4 - 288*x^5 + 54*x^6 + 81*x^7))*Log[2 - x]^2 + (-128*x^3 - 224*x^4 - 72*x^5 + 54*x^6 + 27*x^7 + E^24*(-128 - 224*x - 72*x^2 + 54*x^3 + 27*x^4) + E^16*(-384*x - 672*x^2 - 216*x^3 + 162*x^4 + 81*x^5) + E^8*(-384*x^2 - 672*x^3 - 216*x^4 + 162*x^5 + 81*x^6))*Log[2 - x]^3),x]","\frac{\left(4 x^2+(13 x+16) \log (2-x)\right)^2}{\left(x+e^8\right)^2 \left(x^2+(3 x+4) \log (2-x)\right)^2}","\frac{\left(\frac{x}{\frac{x^2}{\log (2-x)}+3 x+4}+4\right)^2}{\left(x+e^8\right)^2}",1,"(4*x^2 + (16 + 13*x)*Log[2 - x])^2/((E^8 + x)^2*(x^2 + (4 + 3*x)*Log[2 - x])^2)","A",1
5823,1,49,25,0.406264,"\int \frac{\exp \left(\frac{400+1640 x+1681 x^2+(-400-820 x) \log ^2(2)+100 \log ^4(2)}{81+360 x+400 x^2+(-90-200 x) \log ^2(2)+25 \log ^4(2)}\right) \left(1240+2542 x+(-420+410 x) \log ^2(2)-100 \log ^4(2)\right)}{-729-4860 x-10800 x^2-8000 x^3+\left(1215+5400 x+6000 x^2\right) \log ^2(2)+(-675-1500 x) \log ^4(2)+125 \log ^6(2)} \, dx","Integrate[(E^((400 + 1640*x + 1681*x^2 + (-400 - 820*x)*Log[2]^2 + 100*Log[2]^4)/(81 + 360*x + 400*x^2 + (-90 - 200*x)*Log[2]^2 + 25*Log[2]^4))*(1240 + 2542*x + (-420 + 410*x)*Log[2]^2 - 100*Log[2]^4))/(-729 - 4860*x - 10800*x^2 - 8000*x^3 + (1215 + 5400*x + 6000*x^2)*Log[2]^2 + (-675 - 1500*x)*Log[2]^4 + 125*Log[2]^6),x]","\frac{2 \left(31+5 \log ^2(2)\right) \exp \left(\frac{\left(41 x+20-10 \log ^2(2)\right)^2}{\left(20 x+9-5 \log ^2(2)\right)^2}\right)}{62+10 \log ^2(2)}","\exp \left(\left(\frac{x+2}{5 \left(-4 x-5+\log ^2(2)\right)+16}-2\right)^2\right)",1,"(2*E^((20 + 41*x - 10*Log[2]^2)^2/(9 + 20*x - 5*Log[2]^2)^2)*(31 + 5*Log[2]^2))/(62 + 10*Log[2]^2)","A",1
5824,1,23,27,0.5669444,"\int \frac{x^{-\frac{3 x}{-2-x+x \log (x) \log \left(\log \left(\frac{3}{x}\right)\right)}} \left((6+3 x) \log \left(\frac{3}{x}\right)+6 \log \left(\frac{3}{x}\right) \log (x)-3 x \log ^2(x)\right)}{\left(4+4 x+x^2\right) \log \left(\frac{3}{x}\right)+\left(-4 x-2 x^2\right) \log \left(\frac{3}{x}\right) \log (x) \log \left(\log \left(\frac{3}{x}\right)\right)+x^2 \log \left(\frac{3}{x}\right) \log ^2(x) \log ^2\left(\log \left(\frac{3}{x}\right)\right)} \, dx","Integrate[((6 + 3*x)*Log[3/x] + 6*Log[3/x]*Log[x] - 3*x*Log[x]^2)/(x^((3*x)/(-2 - x + x*Log[x]*Log[Log[3/x]]))*((4 + 4*x + x^2)*Log[3/x] + (-4*x - 2*x^2)*Log[3/x]*Log[x]*Log[Log[3/x]] + x^2*Log[3/x]*Log[x]^2*Log[Log[3/x]]^2)),x]","x^{-\frac{3 x}{-x+x \log (x) \log \left(\log \left(\frac{3}{x}\right)\right)-2}}","e^{\frac{3}{\frac{x+2}{x \log (x)}-\log \left(\log \left(\frac{3}{x}\right)\right)}}",1,"x^((-3*x)/(-2 - x + x*Log[x]*Log[Log[3/x]]))","A",1
5825,1,20,20,0.1086213,"\int \frac{-20+19 x-3 x^2+\left(4 x+x^2\right) \log \left(\frac{1280+1280 x+480 x^2+80 x^3+5 x^4}{x}\right)}{\left(16 x+4 x^2\right) \log ^2\left(\frac{1280+1280 x+480 x^2+80 x^3+5 x^4}{x}\right)} \, dx","Integrate[(-20 + 19*x - 3*x^2 + (4*x + x^2)*Log[(1280 + 1280*x + 480*x^2 + 80*x^3 + 5*x^4)/x])/((16*x + 4*x^2)*Log[(1280 + 1280*x + 480*x^2 + 80*x^3 + 5*x^4)/x]^2),x]","\frac{x-5}{4 \log \left(\frac{5 (x+4)^4}{x}\right)}","\frac{x-5}{4 \log \left(\frac{5 (x+4)^4}{x}\right)}",1,"(-5 + x)/(4*Log[(5*(4 + x)^4)/x])","A",1
5826,1,17,19,0.0045071,"\int \frac{2}{60 e^{\frac{1}{e^3 \log (5)}}+x} \, dx","Integrate[2/(60*E^(1/(E^3*Log[5])) + x),x]","2 \log \left(x+60 e^{\frac{1}{e^3 \log (5)}}\right)","\log \left(\left(\frac{x}{60}+e^{\frac{1}{e^3 \log (5)}}\right)^2\right)",1,"2*Log[60*E^(1/(E^3*Log[5])) + x]","A",1
5827,1,79,23,0.0047309,"\int \left(5+4 x+e^8 \left(-28561-35152 x-26364 x^2-8112 x^3-5070 x^4-624 x^5-364 x^6-16 x^7-9 x^8\right)\right) \, dx","Integrate[5 + 4*x + E^8*(-28561 - 35152*x - 26364*x^2 - 8112*x^3 - 5070*x^4 - 624*x^5 - 364*x^6 - 16*x^7 - 9*x^8),x]","-e^8 x^9-2 e^8 x^8-52 e^8 x^7-104 e^8 x^6-1014 e^8 x^5-2028 e^8 x^4-8788 e^8 x^3-17576 e^8 x^2+2 x^2-28561 e^8 x+5 x","(x+2) \left(2 x-e^8 \left(x^2+13\right)^4\right)+x+1",1,"5*x - 28561*E^8*x + 2*x^2 - 17576*E^8*x^2 - 8788*E^8*x^3 - 2028*E^8*x^4 - 1014*E^8*x^5 - 104*E^8*x^6 - 52*E^8*x^7 - 2*E^8*x^8 - E^8*x^9","B",1
5828,1,21,21,0.0471569,"\int \frac{24 x-16 x^2+e^{\frac{-4+4 x-x^2}{4 x}} \left(4+4 x-x^2\right)}{4 x} \, dx","Integrate[(24*x - 16*x^2 + E^((-4 + 4*x - x^2)/(4*x))*(4 + 4*x - x^2))/(4*x),x]","\left(-2 x+e^{-\frac{x}{4}-\frac{1}{x}+1}+6\right) x","\left(-2 x+e^{-\frac{x}{4}-\frac{1}{x}+1}+6\right) x",1,"(6 + E^(1 - x^(-1) - x/4) - 2*x)*x","A",1
5829,1,13,20,0.0057108,"\int \frac{4 \log ^3(5 x)-7 \log ^4(5 x)}{3 x^8} \, dx","Integrate[(4*Log[5*x]^3 - 7*Log[5*x]^4)/(3*x^8),x]","\frac{\log ^4(5 x)}{3 x^7}","\log \left(2 e^{\frac{\log ^4(5 x)}{3 x^7}}\right)+3",1,"Log[5*x]^4/(3*x^7)","A",1
5830,1,17,17,0.0009575,"\int \left(-e^8+e^3 (1+4 x)\right) \, dx","Integrate[-E^8 + E^3*(1 + 4*x),x]","e^3 \left(2 x^2-e^5 x+x\right)","e^3 x \left(2 x-e^5+1\right)-6",1,"E^3*(x - E^5*x + 2*x^2)","A",1
5831,1,43,31,0.0576563,"\int \frac{-18-150 x+1875 x^3+1250 e^{2 x} x^3+21250 x^4+e^x \left(-5000 x^3-5000 x^4\right)+\left(150 x+1250 x^2+1250 x^3\right) \log (x)}{625 x^3} \, dx","Integrate[(-18 - 150*x + 1875*x^3 + 1250*E^(2*x)*x^3 + 21250*x^4 + E^x*(-5000*x^3 - 5000*x^4) + (150*x + 1250*x^2 + 1250*x^3)*Log[x])/(625*x^3),x]","17 x^2+\frac{9}{625 x^2}-8 e^x x+x+e^{2 x}+\log ^2(x)+2 x \log (x)-\frac{6 \log (x)}{25 x}","\left(4 x-e^x\right)^2+x+\left(-x+\frac{3}{25 x}-\log (x)\right)^2-4",1,"E^(2*x) + 9/(625*x^2) + x - 8*E^x*x + 17*x^2 - (6*Log[x])/(25*x) + 2*x*Log[x] + Log[x]^2","A",1
5832,1,20,22,0.2382041,"\int \frac{e^{2+e^x} x \left(x+\left(5+x+e^x \left(5 x+x^2\right)\right) \log (5+x)\right)-x \log (\log (3))}{5 x+x^2} \, dx","Integrate[(E^(2 + E^x)*x*(x + (5 + x + E^x*(5*x + x^2))*Log[5 + x]) - x*Log[Log[3]])/(5*x + x^2),x]","\log (x+5) \left(e^{e^x+2} x-\log (\log (3))\right)","4-\log (x+5) \left(\log (\log (3))-e^{e^x+2} x\right)",1,"Log[5 + x]*(E^(2 + E^x)*x - Log[Log[3]])","A",1
5833,1,4,14,0.0002411,"\int \frac{4}{x} \, dx","Integrate[4/x,x]","4 \log (x)","-\log \left(\frac{16 \log ^2(3)}{x^4}\right)-3",1,"4*Log[x]","A",1
5834,1,30,29,0.0724706,"\int \frac{-3+2 x+e^{2 x} x-3 x^2+e^x \left(1+2 x-2 x^2\right)+\left(-1-e^{2 x}+2 x+e^x (-2+2 x)\right) \log \left(1+e^x\right)}{3 x-e^{2 x} x-x^2+x^3+e^x \left(2 x-x^2+x^3\right)+\left(-3+e^{2 x}+x-x^2+e^x \left(-2+x-x^2\right)\right) \log \left(1+e^x\right)} \, dx","Integrate[(-3 + 2*x + E^(2*x)*x - 3*x^2 + E^x*(1 + 2*x - 2*x^2) + (-1 - E^(2*x) + 2*x + E^x*(-2 + 2*x))*Log[1 + E^x])/(3*x - E^(2*x)*x - x^2 + x^3 + E^x*(2*x - x^2 + x^3) + (-3 + E^(2*x) + x - x^2 + E^x*(-2 + x - x^2))*Log[1 + E^x]),x]","-\log \left(x^2-x-e^x+3\right)-\log \left(x-\log \left(e^x+1\right)\right)","\log \left(\frac{1}{\left(x^2-x-e^x+3\right) \left(x-\log \left(e^x+1\right)\right)}\right)",1,"-Log[3 - E^x - x + x^2] - Log[x - Log[1 + E^x]]","A",1
5835,1,21,15,0.0149884,"\int \frac{3\ 2^{-1+\frac{3 x^2}{2 e^5}} x \log (4)}{e^5} \, dx","Integrate[(3*2^(-1 + (3*x^2)/(2*E^5))*x*Log[4])/E^5,x]","\frac{2^{\frac{3 x^2}{2 e^5}-1} \log (64)}{\log (8)}","2^{\frac{3 x^2}{2 e^5}}+\log (6)",1,"(2^(-1 + (3*x^2)/(2*E^5))*Log[64])/Log[8]","A",1
5836,1,31,24,0.4421766,"\int \frac{-10-20 e^{2 x} x^3-10 e^{4 x} x^6+e^{2 x+\frac{4}{5+5 e^{2 x} x^3}} \left(-12 x^2-8 x^3\right)}{5+10 e^{2 x} x^3+5 e^{4 x} x^6} \, dx","Integrate[(-10 - 20*E^(2*x)*x^3 - 10*E^(4*x)*x^6 + E^(2*x + 4/(5 + 5*E^(2*x)*x^3))*(-12*x^2 - 8*x^3))/(5 + 10*E^(2*x)*x^3 + 5*E^(4*x)*x^6),x]","-\frac{2}{5} \left(5 x-\frac{5}{2} e^{\frac{4}{5 \left(e^{2 x} x^3+1\right)}}\right)","e^{\frac{4 x}{5 \left(e^{2 x} x^4+x\right)}}-2 x",1,"(-2*((-5*E^(4/(5*(1 + E^(2*x)*x^3))))/2 + 5*x))/5","A",1
5837,1,20,26,0.0065393,"\int \frac{-2-20 x+19 x^2-3 x^3}{-5+x} \, dx","Integrate[(-2 - 20*x + 19*x^2 - 3*x^3)/(-5 + x),x]","-x^3+2 x^2-2 \log (5-x)+75","-x \left(x^2-2 x\right)-\log \left((5-x)^2\right)+5+4 \log (5)",1,"75 + 2*x^2 - x^3 - 2*Log[5 - x]","A",1
5838,1,56,29,0.5013598,"\int \frac{e^x \left(16-16 x-8 x^2\right) \log (4)+\left(16+8 x^2\right) \log ^2(4)-16 \log ^3(4)}{e^{2 x} \left(20+20 x+5 x^2\right)+\left(20-20 x-15 x^2+10 x^3+5 x^4\right) \log ^2(4)+\left(-40+30 x^2+10 x^3\right) \log ^3(4)+\left(20+20 x+5 x^2\right) \log ^4(4)+e^x \left(\left(40-30 x^2-10 x^3\right) \log (4)+\left(-40-40 x-10 x^2\right) \log ^2(4)\right)} \, dx","Integrate[(E^x*(16 - 16*x - 8*x^2)*Log[4] + (16 + 8*x^2)*Log[4]^2 - 16*Log[4]^3)/(E^(2*x)*(20 + 20*x + 5*x^2) + (20 - 20*x - 15*x^2 + 10*x^3 + 5*x^4)*Log[4]^2 + (-40 + 30*x^2 + 10*x^3)*Log[4]^3 + (20 + 20*x + 5*x^2)*Log[4]^4 + E^x*((40 - 30*x^2 - 10*x^3)*Log[4] + (-40 - 40*x - 10*x^2)*Log[4]^2)),x]","-\frac{8 x \left(x^2 \log (4)+x \log ^2(4)+2 \log ^2(4)-\log (256)\right)}{5 (x+2)^2 (x-2+\log (4)) \left(\log (4) (x-1+\log (4))-e^x\right)}","\frac{8 x}{5 (x+2) \left(-x+\frac{e^x}{\log (4)}+1-\log (4)\right)}",1,"(-8*x*(x^2*Log[4] + 2*Log[4]^2 + x*Log[4]^2 - Log[256]))/(5*(2 + x)^2*(-2 + x + Log[4])*(-E^x + Log[4]*(-1 + x + Log[4])))","A",1
5839,1,122,14,0.0261502,"\int \frac{132 \log \left(e^{-x} \left(-22+e^x\right)\right)}{-22+e^x} \, dx","Integrate[(132*Log[(-22 + E^x)/E^x])/(-22 + E^x),x]","132 \left(\frac{1}{22} \text{Li}_2\left(\frac{1}{22} \left(22-e^x\right)\right)+\frac{1}{22} \text{Li}_2\left(-e^{-x} \left(22-e^x\right)\right)-\frac{1}{44} \log ^2\left(e^x-22\right)+\frac{1}{22} \log \left(\frac{e^x}{22}\right) \log \left(e^x-22\right)+\frac{1}{22} \log \left(-e^{-x} \left(22-e^x\right)\right) \log \left(e^x-22\right)+\frac{1}{22} \log \left(22 e^{-x}\right) \log \left(-e^{-x} \left(22-e^x\right)\right)\right)","3 \log ^2\left(1-22 e^{-x}\right)",1,"132*((Log[22/E^x]*Log[-((22 - E^x)/E^x)])/22 + (Log[E^x/22]*Log[-22 + E^x])/22 + (Log[-((22 - E^x)/E^x)]*Log[-22 + E^x])/22 - Log[-22 + E^x]^2/44 + PolyLog[2, (22 - E^x)/22]/22 + PolyLog[2, -((22 - E^x)/E^x)]/22)","C",1
5840,1,86,16,0.0680353,"\int \frac{64-24 x+4 x^2+(16-3 x) \log (2)+\log ^2(2)+(16-3 x+2 \log (2)) \log (3)+\log ^2(3)}{64 x-32 x^2+4 x^3+\left(16 x-4 x^2\right) \log (2)+x \log ^2(2)+\left(16 x-4 x^2+2 x \log (2)\right) \log (3)+x \log ^2(3)} \, dx","Integrate[(64 - 24*x + 4*x^2 + (16 - 3*x)*Log[2] + Log[2]^2 + (16 - 3*x + 2*Log[2])*Log[3] + Log[3]^2)/(64*x - 32*x^2 + 4*x^3 + (16*x - 4*x^2)*Log[2] + x*Log[2]^2 + (16*x - 4*x^2 + 2*x*Log[2])*Log[3] + x*Log[3]^2),x]","\frac{2 \left(64+\log ^2(2)+\log ^2(3)+16 \log (2)+\log (3) (16+\log (4))\right) \log (x)-\frac{(8+\log (6)) \left(64+2 \log ^2(2)+2 \log ^2(3)+2 \log ^2(6)+\log (4) \log (9)-\log (6) \log (216)+\log (2821109907456)\right)}{2 x-8-\log (6)}}{2 (8+\log (6))^2}","\frac{x}{-2 x+8+\log (3)+\log (2)}+\log (x)",1,"(-(((8 + Log[6])*(64 + 2*Log[2]^2 + 2*Log[3]^2 + 2*Log[6]^2 + Log[4]*Log[9] - Log[6]*Log[216] + Log[2821109907456]))/(-8 + 2*x - Log[6])) + 2*(64 + 16*Log[2] + Log[2]^2 + Log[3]^2 + Log[3]*(16 + Log[4]))*Log[x])/(2*(8 + Log[6])^2)","B",0
5841,1,24,24,0.179036,"\int \frac{e^{-\frac{8 x^2}{e^{2 x}-2 e^x x+x^2}} \left(e^{3 x} (1-x)-x^3+x^4+e^{2 x} \left(-3 x+3 x^2\right)+e^x \left(3 x^2-3 x^3\right)+\left(e^x \left(16 x^3-16 x^4\right)+e^x \left(-16 x^2+16 x^3\right) \log (x)\right) \log (-x+\log (x))\right)}{-e^{3 x} x^2+3 e^{2 x} x^3-3 e^x x^4+x^5+\left(e^{3 x} x-3 e^{2 x} x^2+3 e^x x^3-x^4\right) \log (x)} \, dx","Integrate[(E^(3*x)*(1 - x) - x^3 + x^4 + E^(2*x)*(-3*x + 3*x^2) + E^x*(3*x^2 - 3*x^3) + (E^x*(16*x^3 - 16*x^4) + E^x*(-16*x^2 + 16*x^3)*Log[x])*Log[-x + Log[x]])/(E^((8*x^2)/(E^(2*x) - 2*E^x*x + x^2))*(-(E^(3*x)*x^2) + 3*E^(2*x)*x^3 - 3*E^x*x^4 + x^5 + (E^(3*x)*x - 3*E^(2*x)*x^2 + 3*E^x*x^3 - x^4)*Log[x])),x]","e^{-\frac{8 x^2}{\left(e^x-x\right)^2}} \log (\log (x)-x)","e^{-\frac{8 x^2}{\left(e^x-x\right)^2}} \log (\log (x)-x)",1,"Log[-x + Log[x]]/E^((8*x^2)/(E^x - x)^2)","A",1
5842,1,19,23,0.1497622,"\int \frac{e^x (-15-20 x)+e^x \left(15+55 x+20 x^2\right) \log (2 x)}{12 \log ^2(2 x)} \, dx","Integrate[(E^x*(-15 - 20*x) + E^x*(15 + 55*x + 20*x^2)*Log[2*x])/(12*Log[2*x]^2),x]","\frac{5 e^x x (4 x+3)}{12 \log (2 x)}","\frac{5 e^x \left(\frac{3}{x}+4\right) x^2}{12 \log (2 x)}",1,"(5*E^x*x*(3 + 4*x))/(12*Log[2*x])","A",1
5843,1,9,24,0.0000706,"\int (-4-2 x) \, dx","Integrate[-4 - 2*x,x]","-x^2-4 x","\left(-x+\frac{5}{\left(1+e^4\right) x}+\frac{9}{x}-4\right) x",1,"-4*x - x^2","A",1
5844,1,48,22,0.1089781,"\int \frac{-16+6 x-163840 x^3+69632 x^4-5120 x^5-1920 x^6+440 x^7-35 x^8+x^9+\left(-131072 x^3+16384 x^4+20480 x^5-7680 x^6+1120 x^7-76 x^8+2 x^9\right) \log (x)}{-32768 x^3+20480 x^4-5120 x^5+640 x^6-40 x^7+x^8} \, dx","Integrate[(-16 + 6*x - 163840*x^3 + 69632*x^4 - 5120*x^5 - 1920*x^6 + 440*x^7 - 35*x^8 + x^9 + (-131072*x^3 + 16384*x^4 + 20480*x^5 - 7680*x^6 + 1120*x^7 - 76*x^8 + 2*x^9)*Log[x])/(-32768*x^3 + 20480*x^4 - 5120*x^5 + 640*x^6 - 40*x^7 + x^8),x]","\frac{x^7-32 x^6+384 x^5-2048 x^4+4096 x^3+(x-8)^4 (x+4) x^3 \log (x)-1}{(x-8)^4 x^2}","-\frac{1}{(8-x)^4 x^2}+x+(x+4) x \log (x)-2",1,"(-1 + 4096*x^3 - 2048*x^4 + 384*x^5 - 32*x^6 + x^7 + (-8 + x)^4*x^3*(4 + x)*Log[x])/((-8 + x)^4*x^2)","B",1
5845,1,16,20,0.0077673,"\int \frac{-5-15 x+30 x^2+14 x^3+x^4}{10-15 x+10 x^3+x^4} \, dx","Integrate[(-5 - 15*x + 30*x^2 + 14*x^3 + x^4)/(10 - 15*x + 10*x^3 + x^4),x]","\log \left(x^4+10 x^3-15 x+10\right)+x","\log \left(-\left(\left(\frac{x}{5}+2\right) x^3\right)+3 x-2\right)+x",1,"x + Log[10 - 15*x + 10*x^3 + x^4]","A",1
5846,1,24,27,0.1373366,"\int \frac{\left(20 x+6 x^2-2 x^3\right) \log \left(\frac{1}{4} \left(25-10 x+x^2\right)\right)+\left(8 x-2 x^3+\left(20-14 x+2 x^2\right) \log \left(\frac{1}{4} \left(25-10 x+x^2\right)\right)\right) \log \left(4-4 x+x^2\right)}{10 x^2-7 x^3+x^4} \, dx","Integrate[((20*x + 6*x^2 - 2*x^3)*Log[(25 - 10*x + x^2)/4] + (8*x - 2*x^3 + (20 - 14*x + 2*x^2)*Log[(25 - 10*x + x^2)/4])*Log[4 - 4*x + x^2])/(10*x^2 - 7*x^3 + x^4),x]","-\frac{(x+2) \log \left(\frac{1}{4} (x-5)^2\right) \log \left((x-2)^2\right)}{x}","\frac{(-x-2) \log \left(\frac{1}{4} (5-x)^2\right) \log \left((x-2)^2\right)}{x}",1,"-(((2 + x)*Log[(-5 + x)^2/4]*Log[(-2 + x)^2])/x)","A",1
5847,1,8,22,0.0000632,"\int (-5+\log (8)) \, dx","Integrate[-5 + Log[8],x]","x \log (8)-5 x","\left(x+65536 \left(1+\frac{e^{e^{25}}}{3}\right)^8\right) (\log (8)-5)",1,"-5*x + x*Log[8]","A",1
5848,1,37,29,0.0618295,"\int \frac{e^{-x} \left(-40 x-40 x^2+24 x^3+e^2 \left(-10-10 x+x^2\right)+e^x \left(-5 e^2 x^2-20 x^3\right)+\left(20 x^3-20 x^4+e^2 \left(5 x^2-5 x^3\right)\right) \log \left(e^2+4 x\right)\right)}{5 e^2 x^2+20 x^3} \, dx","Integrate[(-40*x - 40*x^2 + 24*x^3 + E^2*(-10 - 10*x + x^2) + E^x*(-5*E^2*x^2 - 20*x^3) + (20*x^3 - 20*x^4 + E^2*(5*x^2 - 5*x^3))*Log[E^2 + 4*x])/(E^x*(5*E^2*x^2 + 20*x^3)),x]","\frac{1}{5} \left(e^{-x} \left(\frac{10}{x}-1\right)-5 x+5 e^{-x} x \log \left(4 x+e^2\right)\right)","e^{-x} \left(\frac{2}{x}+x \log \left(4 x+e^2\right)-\frac{1}{5}\right)-x",1,"((-1 + 10/x)/E^x - 5*x + (5*x*Log[E^2 + 4*x])/E^x)/5","A",1
5849,1,20,30,0.0080246,"\int \frac{-2-2 x+3 x^2-x^3}{4-2 x-2 x^2+x^3} \, dx","Integrate[(-2 - 2*x + 3*x^2 - x^3)/(4 - 2*x - 2*x^2 + x^3),x]","\log \left(2-x^2\right)-x-\log (2-x)","\log \left(\left(2+\frac{5 e^2}{2}\right) \left(-\frac{x^2}{2-x}+x+2\right)\right)-x",1,"-x - Log[2 - x] + Log[2 - x^2]","A",1
5850,1,22,20,0.0385129,"\int \frac{-1+7 x-x^2-x \log \left(4 e^{-x} x\right)}{4 x-8 x^2+4 x^3} \, dx","Integrate[(-1 + 7*x - x^2 - x*Log[(4*x)/E^x])/(4*x - 8*x^2 + 4*x^3),x]","-\frac{5-\log \left(4 e^{-x} x\right)}{4 (x-1)}","\frac{\log \left(4 e^{-x} x\right)-5}{4 (x-1)}",1,"-1/4*(5 - Log[(4*x)/E^x])/(-1 + x)","A",1
5851,1,33,22,0.0197259,"\int \frac{1171875+777500 x+3750 x^3+2503 x^4+3 x^6+2 x^7}{11328125+1171875 x+388750 x^2+36250 x^3+3750 x^4+1247 x^5+29 x^6+3 x^7+x^8} \, dx","Integrate[(1171875 + 777500*x + 3750*x^3 + 2503*x^4 + 3*x^6 + 2*x^7)/(11328125 + 1171875*x + 388750*x^2 + 36250*x^3 + 3750*x^4 + 1247*x^5 + 29*x^6 + 3*x^7 + x^8),x]","\log \left(x^5+3 x^4+29 x^3+622 x^2+1875 x+18125\right)-\log \left(x^3+625\right)","\log \left(\frac{3}{\frac{625}{x^2}+x}-(x+2)^2+x-25\right)",1,"-Log[625 + x^3] + Log[18125 + 1875*x + 622*x^2 + 29*x^3 + 3*x^4 + x^5]","A",1
5852,1,10,15,0.0073767,"\int \frac{e^{e^x} \left(-8+8 e^x x\right)}{x^2} \, dx","Integrate[(E^E^x*(-8 + 8*E^x*x))/x^2,x]","\frac{8 e^{e^x}}{x}","\frac{x+8 \left(x+e^{e^x}\right)}{x}",1,"(8*E^E^x)/x","A",1
5853,1,31,18,0.0000872,"\int \left(4+4 e^{10}+4 \log (5)+e^{2 e^e} \left(1+e^{10}+\log (5)\right)\right) \, dx","Integrate[4 + 4*E^10 + 4*Log[5] + E^(2*E^E)*(1 + E^10 + Log[5]),x]","4 e^{10} x+4 x+e^{2 e^e} x \left(1+e^{10}+\log (5)\right)+4 x \log (5)","\left(4+e^{2 e^e}\right) x \left(1+e^{10}+\log (5)\right)",1,"4*x + 4*E^10*x + 4*x*Log[5] + E^(2*E^E)*x*(1 + E^10 + Log[5])","A",1
5854,1,21,15,0.004229,"\int \frac{12-3 x}{-8+2 x+x^2} \, dx","Integrate[(12 - 3*x)/(-8 + 2*x + x^2),x]","-3 \left(\frac{4}{3} \log (x+4)-\frac{1}{3} \log (2-x)\right)","\log \left(\frac{2 x-4}{16 (x+4)^4}\right)",1,"-3*(-1/3*Log[2 - x] + (4*Log[4 + x])/3)","A",1
5855,1,115,19,0.058315,"\int \frac{-1296-864 x-216 x^2-24 x^3-x^4+\left(144+96 x-2 x^3\right) \log (2)}{1296+864 x+216 x^2+24 x^3+x^4+\left(-288-24 x+16 x^2+2 x^3\right) \log (2)+\left(16-8 x+x^2\right) \log ^2(2)} \, dx","Integrate[(-1296 - 864*x - 216*x^2 - 24*x^3 - x^4 + (144 + 96*x - 2*x^3)*Log[2])/(1296 + 864*x + 216*x^2 + 24*x^3 + x^4 + (-288 - 24*x + 16*x^2 + 2*x^3)*Log[2] + (16 - 8*x + x^2)*Log[2]^2),x]","-\frac{x^3 \log (2) (40+\log (2))+x^2 \log (2) \left(480+\log ^2(2)+52 \log (2)\right)+x \left(\log ^4(2)+64 \log ^3(2)-6 \log ^2(2) (\log (4)-150)-192 \log (2) (\log (4)-12)-432 \log (4)\right)-4 (\log (2)-9) \left(\log ^3(2)+52 \log ^2(2)-\log (4) \log (64)\right)}{\log (2) (40+\log (2)) \left(x^2+x (12+\log (2))-4 (\log (2)-9)\right)}","\frac{x}{\frac{(4-x) \log (2)}{(x+6)^2}-1}",1,"-((x^3*Log[2]*(40 + Log[2]) + x^2*Log[2]*(480 + 52*Log[2] + Log[2]^2) + x*(64*Log[2]^3 + Log[2]^4 - 6*Log[2]^2*(-150 + Log[4]) - 192*Log[2]*(-12 + Log[4]) - 432*Log[4]) - 4*(-9 + Log[2])*(52*Log[2]^2 + Log[2]^3 - Log[4]*Log[64]))/(Log[2]*(40 + Log[2])*(x^2 - 4*(-9 + Log[2]) + x*(12 + Log[2]))))","B",0
5856,1,207,31,0.4442147,"\int \frac{96+96 x-36 x^2+12 x^2 \log (5)+e^x \left(-96-96 x+30 x^2-6 x^3-3 x^4-12 x^2 \log (5)\right)+e^{2 x} \left(24+24 x-6 x^2+3 x^2 \log (5)\right)}{64+48 x^2+9 x^4+\left(32 x+12 x^3\right) \log (5)+4 x^2 \log ^2(5)+e^x \left(-64-40 x^2-6 x^4+\left(-32 x-10 x^3\right) \log (5)-4 x^2 \log ^2(5)\right)+e^{2 x} \left(16+8 x^2+x^4+\left(8 x+2 x^3\right) \log (5)+x^2 \log ^2(5)\right)} \, dx","Integrate[(96 + 96*x - 36*x^2 + 12*x^2*Log[5] + E^x*(-96 - 96*x + 30*x^2 - 6*x^3 - 3*x^4 - 12*x^2*Log[5]) + E^(2*x)*(24 + 24*x - 6*x^2 + 3*x^2*Log[5]))/(64 + 48*x^2 + 9*x^4 + (32*x + 12*x^3)*Log[5] + 4*x^2*Log[5]^2 + E^x*(-64 - 40*x^2 - 6*x^4 + (-32*x - 10*x^3)*Log[5] - 4*x^2*Log[5]^2) + E^(2*x)*(16 + 8*x^2 + x^4 + (8*x + 2*x^3)*Log[5] + x^2*Log[5]^2)),x]","\frac{3 \left(3 x^6+x^5 (-12+9 \log (5)+\log (25))+x^4 (44-4 \log (25)+\log (5) (6 \log (25)-13))+x^3 \left(-88-4 \log ^2(5)+\log (5) \left(60+\log ^2(25)-3 \log (25)\right)+20 \log (25)\right)+4 x^2 \left(56+\log ^2(25)+4 \log (5) (\log (25)-3)-5 \log (25)\right)-e^x (x (\log (5)-2)+4) \left(3 x^4+x^3 \log (3125)+x^2 (20+\log (5) (\log (25)-1))+2 x (\log (390625)-4)+32\right)+96 x (\log (25)-2)+256\right)}{\left(-3 x^2+e^x \left(x^2+x \log (5)+4\right)-x \log (25)-8\right) \left(3 x^4+x^3 \log (3125)+x^2 (20+\log (5) (\log (25)-1))+2 x (\log (390625)-4)+32\right)}","\frac{3 x (x+2)}{x^2+x \left(\frac{x}{2-e^x}+\log (5)\right)+4}+9",1,"(3*(256 + 3*x^6 + 96*x*(-2 + Log[25]) + x^5*(-12 + 9*Log[5] + Log[25]) + 4*x^2*(56 + 4*Log[5]*(-3 + Log[25]) - 5*Log[25] + Log[25]^2) + x^4*(44 - 4*Log[25] + Log[5]*(-13 + 6*Log[25])) + x^3*(-88 - 4*Log[5]^2 + 20*Log[25] + Log[5]*(60 - 3*Log[25] + Log[25]^2)) - E^x*(4 + x*(-2 + Log[5]))*(32 + 3*x^4 + x^2*(20 + Log[5]*(-1 + Log[25])) + x^3*Log[3125] + 2*x*(-4 + Log[390625]))))/((-8 - 3*x^2 + E^x*(4 + x^2 + x*Log[5]) - x*Log[25])*(32 + 3*x^4 + x^2*(20 + Log[5]*(-1 + Log[25])) + x^3*Log[3125] + 2*x*(-4 + Log[390625])))","B",0
5857,1,29,28,0.1261115,"\int \frac{48 x+141 x^3-42 x^4+3 x^5+e^{4+x} \left(69 x-27 x^2+3 x^3\right)+\left(-48 x+21 x^2-51 x^3+21 x^4-3 x^5+e^{4+x} \left(-48+21 x-3 x^2\right)\right) \log \left(\frac{16-7 x+x^2}{e^{4+x}+x+x^3}\right)}{\left(16 x^3-7 x^4+17 x^5-7 x^6+x^7+e^{4+x} \left(16 x^2-7 x^3+x^4\right)\right) \log ^2\left(\frac{16-7 x+x^2}{e^{4+x}+x+x^3}\right)} \, dx","Integrate[(48*x + 141*x^3 - 42*x^4 + 3*x^5 + E^(4 + x)*(69*x - 27*x^2 + 3*x^3) + (-48*x + 21*x^2 - 51*x^3 + 21*x^4 - 3*x^5 + E^(4 + x)*(-48 + 21*x - 3*x^2))*Log[(16 - 7*x + x^2)/(E^(4 + x) + x + x^3)])/((16*x^3 - 7*x^4 + 17*x^5 - 7*x^6 + x^7 + E^(4 + x)*(16*x^2 - 7*x^3 + x^4))*Log[(16 - 7*x + x^2)/(E^(4 + x) + x + x^3)]^2),x]","\frac{3}{x \log \left(\frac{x^2-7 x+16}{x^3+x+e^{x+4}}\right)}","\frac{3}{x \log \left(\frac{(x-4)^2+x}{x^3+x+e^{x+4}}\right)}",1,"3/(x*Log[(16 - 7*x + x^2)/(E^(4 + x) + x + x^3)])","A",1
5858,1,26,26,0.076711,"\int \frac{\left(18 e^{\frac{1}{x}+2 x} x^2+180 e^{\frac{1}{x}} x^3+e^{\frac{1}{x}+x} \left(90 x^2+36 x^3\right)\right) \log \left(\frac{1}{3} \left(e^x+x^2\right)\right)+\left(-45 e^{\frac{1}{x}} x^2+e^{\frac{1}{x}+2 x} \left(-9+9 x^2\right)+e^{\frac{1}{x}+x} \left(-45-9 x^2+9 x^4\right)\right) \log ^2\left(\frac{1}{3} \left(e^x+x^2\right)\right)}{e^x x^2+x^4} \, dx","Integrate[((18*E^(x^(-1) + 2*x)*x^2 + 180*E^x^(-1)*x^3 + E^(x^(-1) + x)*(90*x^2 + 36*x^3))*Log[(E^x + x^2)/3] + (-45*E^x^(-1)*x^2 + E^(x^(-1) + 2*x)*(-9 + 9*x^2) + E^(x^(-1) + x)*(-45 - 9*x^2 + 9*x^4))*Log[(E^x + x^2)/3]^2)/(E^x*x^2 + x^4),x]","9 e^{\frac{1}{x}} \left(e^x+5\right) \log ^2\left(\frac{1}{3} \left(x^2+e^x\right)\right)","9 e^{\frac{1}{x}} \left(e^x+5\right) \log ^2\left(\frac{1}{3} \left(x^2+e^x\right)\right)",1,"9*E^x^(-1)*(5 + E^x)*Log[(E^x + x^2)/3]^2","A",1
5859,1,26,24,0.6093497,"\int \left(96 x^2-144 x^2 \log (x)+(48 x+96 x \log (x)) \log (\log (2))+e^{e^x} \left(6 x^2+3 e^x x^3+\left(-9 x^2-3 e^x x^3\right) \log (x)+\left(3 x+\left(6 x+3 e^x x^2\right) \log (x)\right) \log (\log (2))\right)\right) \, dx","Integrate[96*x^2 - 144*x^2*Log[x] + (48*x + 96*x*Log[x])*Log[Log[2]] + E^E^x*(6*x^2 + 3*E^x*x^3 + (-9*x^2 - 3*E^x*x^3)*Log[x] + (3*x + (6*x + 3*E^x*x^2)*Log[x])*Log[Log[2]]),x]","-3 \left(e^{e^x}+16\right) x^2 (\log (x) (x-\log (\log (2)))-x)","3 \left(e^{e^x}+16\right) x^2 (x+\log (x) (\log (\log (2))-x))",1,"-3*(16 + E^E^x)*x^2*(-x + Log[x]*(x - Log[Log[2]]))","A",1
5860,1,9,9,0.0012362,"\int \frac{-1+\log (x)}{2 x^2} \, dx","Integrate[(-1 + Log[x])/(2*x^2),x]","-\frac{\log (x)}{2 x}","-\frac{\log (x)}{2 x}",1,"-1/2*Log[x]/x","A",1
5861,1,29,25,0.0207242,"\int \frac{-18+\sqrt{e} (6-4 x)+12 x+4 x^2}{9+e-6 x+7 x^2-2 x^3+x^4+\sqrt{e} \left(-6+2 x-2 x^2\right)} \, dx","Integrate[(-18 + Sqrt[E]*(6 - 4*x) + 12*x + 4*x^2)/(9 + E - 6*x + 7*x^2 - 2*x^3 + x^4 + Sqrt[E]*(-6 + 2*x - 2*x^2)),x]","\frac{2 \left(-2 x+\sqrt{e}-3\right)}{x^2-x-\sqrt{e}+3}","\frac{2 (x-3) x}{x^2-x-\sqrt{e}+3}-2",1,"(2*(-3 + Sqrt[E] - 2*x))/(3 - Sqrt[E] - x + x^2)","A",1
5862,1,22,25,0.167751,"\int \frac{9 x^2 \log ^5(x)+e^{\frac{x-9 \log ^2(2) \log ^4(x)}{9 x \log ^4(x)}} \left(-4 x+9 \log ^2(2) \log ^5(x)\right)}{9 x^2 \log ^5(x)} \, dx","Integrate[(9*x^2*Log[x]^5 + E^((x - 9*Log[2]^2*Log[x]^4)/(9*x*Log[x]^4))*(-4*x + 9*Log[2]^2*Log[x]^5))/(9*x^2*Log[x]^5),x]","x+e^{\frac{1}{9 \log ^4(x)}-\frac{\log ^2(2)}{x}}","x+e^{\frac{\frac{x}{9 \log ^4(x)}-\log ^2(2)}{x}}+1",1,"E^(-(Log[2]^2/x) + 1/(9*Log[x]^4)) + x","A",1
5863,1,26,25,0.1122507,"\int \frac{e^{e^{2 x}} \left(-2 x^2+\left(-9-x^2+e^{2 x} \left(108-18 x+12 x^2-2 x^3\right)\right) \log \left(9+x^2\right)\right)+e^{e^{2 x}} \left(9+x^2+e^{2 x} \left(-216+18 x-24 x^2+2 x^3\right)\right) \log \left(9+x^2\right) \log \left(\log \left(9+x^2\right)\right)+e^{e^{2 x}+2 x} \left(108+12 x^2\right) \log \left(9+x^2\right) \log ^2\left(\log \left(9+x^2\right)\right)}{\left(27+3 x^2\right) \log \left(9+x^2\right)+\left(-54-6 x^2\right) \log \left(9+x^2\right) \log \left(\log \left(9+x^2\right)\right)+\left(27+3 x^2\right) \log \left(9+x^2\right) \log ^2\left(\log \left(9+x^2\right)\right)} \, dx","Integrate[(E^E^(2*x)*(-2*x^2 + (-9 - x^2 + E^(2*x)*(108 - 18*x + 12*x^2 - 2*x^3))*Log[9 + x^2]) + E^E^(2*x)*(9 + x^2 + E^(2*x)*(-216 + 18*x - 24*x^2 + 2*x^3))*Log[9 + x^2]*Log[Log[9 + x^2]] + E^(E^(2*x) + 2*x)*(108 + 12*x^2)*Log[9 + x^2]*Log[Log[9 + x^2]]^2)/((27 + 3*x^2)*Log[9 + x^2] + (-54 - 6*x^2)*Log[9 + x^2]*Log[Log[9 + x^2]] + (27 + 3*x^2)*Log[9 + x^2]*Log[Log[9 + x^2]]^2),x]","\frac{1}{3} e^{e^{2 x}} \left(\frac{x}{\log \left(\log \left(x^2+9\right)\right)-1}+6\right)","e^{e^{2 x}} \left(\frac{x}{3 \log \left(\log \left(x^2+9\right)\right)-3}+2\right)",1,"(E^E^(2*x)*(6 + x/(-1 + Log[Log[9 + x^2]])))/3","A",1
5864,1,46,29,0.2525437,"\int \frac{-54912-63380 x-37053 x^2-232575 x^3-256350 x^4-148575 x^5-51525 x^6-11400 x^7-1500 x^8-100 x^9+\left(-21970-25350 x-14820 x^2-93030 x^3-102540 x^4-59430 x^5-20610 x^6-4560 x^7-600 x^8-40 x^9\right) \log (2)+\left(-2197-2535 x-1482 x^2-9303 x^3-10254 x^4-5943 x^5-2061 x^6-456 x^7-60 x^8-4 x^9\right) \log ^2(2)+e^{3 x} \left(25+100 x^3+\left(10+40 x^3\right) \log (2)+\left(1+4 x^3\right) \log ^2(2)\right)+e^{2 x} \left(-975-375 x-75 x^2-3900 x^3-1500 x^4-300 x^5+\left(-390-150 x-30 x^2-1560 x^3-600 x^4-120 x^5\right) \log (2)+\left(-39-15 x-3 x^2-156 x^3-60 x^4-12 x^5\right) \log ^2(2)\right)+e^x \left(12674+9752 x+3825 x^2+51450 x^3+39075 x^4+15300 x^5+3000 x^6+300 x^7+\left(5070+3900 x+1530 x^2+20580 x^3+15630 x^4+6120 x^5+1200 x^6+120 x^7\right) \log (2)+\left(507+390 x+153 x^2+2058 x^3+1563 x^4+612 x^5+120 x^6+12 x^7\right) \log ^2(2)\right)}{-54925-63375 x-37050 x^2-12875 x^3-2850 x^4-375 x^5-25 x^6+\left(-21970-25350 x-14820 x^2-5150 x^3-1140 x^4-150 x^5-10 x^6\right) \log (2)+\left(-2197-2535 x-1482 x^2-515 x^3-114 x^4-15 x^5-x^6\right) \log ^2(2)+e^{3 x} \left(25+10 \log (2)+\log ^2(2)\right)+e^{2 x} \left(-975-375 x-75 x^2+\left(-390-150 x-30 x^2\right) \log (2)+\left(-39-15 x-3 x^2\right) \log ^2(2)\right)+e^x \left(12675+9750 x+3825 x^2+750 x^3+75 x^4+\left(5070+3900 x+1530 x^2+300 x^3+30 x^4\right) \log (2)+\left(507+390 x+153 x^2+30 x^3+3 x^4\right) \log ^2(2)\right)} \, dx","Integrate[(-54912 - 63380*x - 37053*x^2 - 232575*x^3 - 256350*x^4 - 148575*x^5 - 51525*x^6 - 11400*x^7 - 1500*x^8 - 100*x^9 + (-21970 - 25350*x - 14820*x^2 - 93030*x^3 - 102540*x^4 - 59430*x^5 - 20610*x^6 - 4560*x^7 - 600*x^8 - 40*x^9)*Log[2] + (-2197 - 2535*x - 1482*x^2 - 9303*x^3 - 10254*x^4 - 5943*x^5 - 2061*x^6 - 456*x^7 - 60*x^8 - 4*x^9)*Log[2]^2 + E^(3*x)*(25 + 100*x^3 + (10 + 40*x^3)*Log[2] + (1 + 4*x^3)*Log[2]^2) + E^(2*x)*(-975 - 375*x - 75*x^2 - 3900*x^3 - 1500*x^4 - 300*x^5 + (-390 - 150*x - 30*x^2 - 1560*x^3 - 600*x^4 - 120*x^5)*Log[2] + (-39 - 15*x - 3*x^2 - 156*x^3 - 60*x^4 - 12*x^5)*Log[2]^2) + E^x*(12674 + 9752*x + 3825*x^2 + 51450*x^3 + 39075*x^4 + 15300*x^5 + 3000*x^6 + 300*x^7 + (5070 + 3900*x + 1530*x^2 + 20580*x^3 + 15630*x^4 + 6120*x^5 + 1200*x^6 + 120*x^7)*Log[2] + (507 + 390*x + 153*x^2 + 2058*x^3 + 1563*x^4 + 612*x^5 + 120*x^6 + 12*x^7)*Log[2]^2))/(-54925 - 63375*x - 37050*x^2 - 12875*x^3 - 2850*x^4 - 375*x^5 - 25*x^6 + (-21970 - 25350*x - 14820*x^2 - 5150*x^3 - 1140*x^4 - 150*x^5 - 10*x^6)*Log[2] + (-2197 - 2535*x - 1482*x^2 - 515*x^3 - 114*x^4 - 15*x^5 - x^6)*Log[2]^2 + E^(3*x)*(25 + 10*Log[2] + Log[2]^2) + E^(2*x)*(-975 - 375*x - 75*x^2 + (-390 - 150*x - 30*x^2)*Log[2] + (-39 - 15*x - 3*x^2)*Log[2]^2) + E^x*(12675 + 9750*x + 3825*x^2 + 750*x^3 + 75*x^4 + (5070 + 3900*x + 1530*x^2 + 300*x^3 + 30*x^4)*Log[2] + (507 + 390*x + 153*x^2 + 30*x^3 + 3*x^4)*Log[2]^2)),x]","-\frac{x^4 \left(-(5+\log (2))^2\right)+\frac{x}{\left(-x^2-5 x+e^x-13\right)^2}-x (5+\log (2))^2}{(5+\log (2))^2}","x^4+x-\frac{x}{\left(-(x+3)^2+e^x+x-4\right)^2 (5+\log (2))^2}",1,"-((x/(-13 + E^x - 5*x - x^2)^2 - x*(5 + Log[2])^2 - x^4*(5 + Log[2])^2)/(5 + Log[2])^2)","A",1
5865,1,11,15,0.0054368,"\int \frac{-2 e^{\frac{1}{x^2}}+x^2+3 x^3}{x^3} \, dx","Integrate[(-2*E^x^(-2) + x^2 + 3*x^3)/x^3,x]","e^{\frac{1}{x^2}}+3 x+\log (x)","e^{\frac{1}{x^2}}+3 x+\log (x)-\log (5)",1,"E^x^(-2) + 3*x + Log[x]","A",1
5866,1,14,14,0.0045704,"\int \frac{4 \log (x)}{-x+x \log (2)} \, dx","Integrate[(4*Log[x])/(-x + x*Log[2]),x]","-\frac{4 \log ^2(x)}{2-\log (4)}","\frac{2 \log ^2(x)}{\log (2)-1}+1",1,"(-4*Log[x]^2)/(2 - Log[4])","A",1
5867,1,40,25,0.1859874,"\int \frac{-4+x+e^5 \left(-48-12 x+6 x^2\right)+e^{10} \left(-144-108 x+9 x^3-8 x^4+2 x^5\right)+\left(e^5 (-24+6 x)+e^{10} \left(-144-36 x+18 x^2\right)\right) \log (-4+x)+e^{10} (-36+9 x) \log ^2(-4+x)+\left(12-3 x+e^5 \left(144+18 x-12 x^2\right)+e^{10} \left(432+216 x-18 x^2-9 x^3\right)+\left(e^5 (72-18 x)+e^{10} \left(432+54 x-36 x^2\right)\right) \log (-4+x)+e^{10} (108-27 x) \log ^2(-4+x)\right) \log (x)}{e^{10} \left(-4 x^4+x^5\right)} \, dx","Integrate[(-4 + x + E^5*(-48 - 12*x + 6*x^2) + E^10*(-144 - 108*x + 9*x^3 - 8*x^4 + 2*x^5) + (E^5*(-24 + 6*x) + E^10*(-144 - 36*x + 18*x^2))*Log[-4 + x] + E^10*(-36 + 9*x)*Log[-4 + x]^2 + (12 - 3*x + E^5*(144 + 18*x - 12*x^2) + E^10*(432 + 216*x - 18*x^2 - 9*x^3) + (E^5*(72 - 18*x) + E^10*(432 + 54*x - 36*x^2))*Log[-4 + x] + E^10*(108 - 27*x)*Log[-4 + x]^2)*Log[x])/(E^10*(-4*x^4 + x^5)),x]","-\frac{-\frac{\log (x) \left(3 e^5 (x+2)+3 e^5 \log (x-4)+1\right)^2}{x^3}-2 e^{10} x}{e^{10}}","\frac{\log (x) \left(3 (x+\log (x-4)+2)+\frac{1}{e^5}\right)^2}{x^3}+2 x",1,"-((-2*E^10*x - ((1 + 3*E^5*(2 + x) + 3*E^5*Log[-4 + x])^2*Log[x])/x^3)/E^10)","A",1
5868,1,28,31,0.1136152,"\int \frac{e^{\frac{e^{4 e^x}}{-5+x}} \left(\left(25-10 x+x^2\right) \log (3)+e^x \left(25-10 x+x^2\right) \log (3)+e^{4 e^x} \left(\left(e^5-x\right) \log (3)+e^{2 x} (-20+4 x) \log (3)+e^x \left(-1+e^5 (20-4 x)-20 x+4 x^2\right) \log (3)\right)\right)}{25-10 x+x^2} \, dx","Integrate[(E^(E^(4*E^x)/(-5 + x))*((25 - 10*x + x^2)*Log[3] + E^x*(25 - 10*x + x^2)*Log[3] + E^(4*E^x)*((E^5 - x)*Log[3] + E^(2*x)*(-20 + 4*x)*Log[3] + E^x*(-1 + E^5*(20 - 4*x) - 20*x + 4*x^2)*Log[3])))/(25 - 10*x + x^2),x]","e^{\frac{e^{4 e^x}}{x-5}} \left(x+e^x-e^5\right) \log (3)","\left(e^{\frac{e^{4 e^x}}{x-5}} \left(x+e^x-e^5\right)-2\right) \log (3)",1,"E^(E^(4*E^x)/(-5 + x))*(-E^5 + E^x + x)*Log[3]","A",1
5869,1,28,28,0.3279411,"\int \frac{3 \log ^5(x)+2 \log ^6(x)+\exp \left(\exp \left(\frac{2 x^6-8 x^5 \log (x)+12 x^4 \log ^2(x)-8 x^3 \log ^3(x)+2 x^2 \log ^4(x)}{\log ^4(x)}\right)+\frac{2 x^6-8 x^5 \log (x)+12 x^4 \log ^2(x)-8 x^3 \log ^3(x)+2 x^2 \log ^4(x)}{\log ^4(x)}\right) \left(-8 x^5+\left(24 x^4+12 x^5\right) \log (x)+\left(-24 x^3-40 x^4\right) \log ^2(x)+\left(8 x^2+48 x^3\right) \log ^3(x)-24 x^2 \log ^4(x)+4 x \log ^5(x)\right)}{\log ^5(x)} \, dx","Integrate[(3*Log[x]^5 + 2*Log[x]^6 + E^(E^((2*x^6 - 8*x^5*Log[x] + 12*x^4*Log[x]^2 - 8*x^3*Log[x]^3 + 2*x^2*Log[x]^4)/Log[x]^4) + (2*x^6 - 8*x^5*Log[x] + 12*x^4*Log[x]^2 - 8*x^3*Log[x]^3 + 2*x^2*Log[x]^4)/Log[x]^4)*(-8*x^5 + (24*x^4 + 12*x^5)*Log[x] + (-24*x^3 - 40*x^4)*Log[x]^2 + (8*x^2 + 48*x^3)*Log[x]^3 - 24*x^2*Log[x]^4 + 4*x*Log[x]^5))/Log[x]^5,x]","e^{e^{\frac{2 x^2 (x-\log (x))^4}{\log ^4(x)}}}+x+2 x \log (x)","e^{e^{\frac{2 x^2 (x-\log (x))^4}{\log ^4(x)}}}+x+2 x \log (x)",1,"E^E^((2*x^2*(x - Log[x])^4)/Log[x]^4) + x + 2*x*Log[x]","A",1
5870,1,28,28,0.1830524,"\int \frac{1}{10} \left(25+e^x \left(-4 x-2 x^2\right)+e^{e^{e^{e^{16 x}}}} \left(32 e^{e^{e^{16 x}}+e^{16 x}+17 x} x+e^x (2+2 x)\right)\right) \, dx","Integrate[(25 + E^x*(-4*x - 2*x^2) + E^E^E^E^(16*x)*(32*E^(E^E^(16*x) + E^(16*x) + 17*x)*x + E^x*(2 + 2*x)))/10,x]","-\frac{1}{10} x \left(2 e^x x-2 e^{x+e^{e^{e^{16 x}}}}-25\right)","\left(\frac{1}{5} e^x \left(e^{e^{e^{e^{16 x}}}}-x\right)+\frac{5}{2}\right) x",1,"-1/10*(x*(-25 - 2*E^(E^E^E^(16*x) + x) + 2*E^x*x))","A",1
5871,1,22,25,0.0138107,"\int \frac{3 e^{e^{-e} \left(4+5 e^e\right)}-10 x^2}{10 x^2} \, dx","Integrate[(3*E^((4 + 5*E^E)/E^E) - 10*x^2)/(10*x^2),x]","-x-\frac{3 e^{5+4 e^{-e}}}{10 x}","-x-\frac{3 e^{5+4 e^{-e}}}{10 x}+6+\log (2)",1,"(-3*E^(5 + 4/E^E))/(10*x) - x","A",1
5872,1,10,11,0.056544,"\int \frac{1+x}{-4 x+x^2+x \log (x)} \, dx","Integrate[(1 + x)/(-4*x + x^2 + x*Log[x]),x]","\log (-x-\log (x)+4)","\log (x+\log (x)-4)+e^2-4",1,"Log[4 - x - Log[x]]","A",1
5873,1,14,14,0.0423985,"\int -\frac{1350 e^{\frac{13 x^2+675 \log (3)}{x^2}} \log (3)}{x^3+e^{\frac{13 x^2+675 \log (3)}{x^2}} x^3} \, dx","Integrate[(-1350*E^((13*x^2 + 675*Log[3])/x^2)*Log[3])/(x^3 + E^((13*x^2 + 675*Log[3])/x^2)*x^3),x]","\log \left(e^{13} 3^{\frac{675}{x^2}}+1\right)","\log \left(e^{\frac{675 \log (3)}{x^2}+13}+1\right)",1,"Log[1 + 3^(675/x^2)*E^13]","A",1
5874,1,21,21,0.0138993,"\int \left(2+e^{\frac{1}{2} \left(3+e^2\right)+x} (-2-2 x)\right) \, dx","Integrate[2 + E^((3 + E^2)/2 + x)*(-2 - 2*x),x]","2 x-2 e^{x+\frac{e^2}{2}+\frac{3}{2}} x","-2 \left(e^{x+\frac{1}{2} \left(3+e^2\right)} x-x\right)",1,"2*x - 2*E^(3/2 + E^2/2 + x)*x","A",1
5875,1,21,22,0.0168126,"\int \frac{-13 x-6 x^2+e^{\frac{1}{x}} (-4+4 x)}{3 x} \, dx","Integrate[(-13*x - 6*x^2 + E^x^(-1)*(-4 + 4*x))/(3*x),x]","\frac{1}{3} \left(-3 x^2+4 e^{\frac{1}{x}} x-13 x\right)","\left(\frac{4}{3} \left(e^{\frac{1}{x}}-4\right)-x\right) x+x+7+\log (5)",1,"(-13*x + 4*E^x^(-1)*x - 3*x^2)/3","A",1
5876,1,28,28,0.1204102,"\int \frac{2 x+16 x^2+2 x \log \left(\frac{5 e^{-4-8 x}}{x}\right)+\log ^3\left(\frac{5 e^{-4-8 x}}{x}\right)}{(-3+\log (5)) \log ^3\left(\frac{5 e^{-4-8 x}}{x}\right)} \, dx","Integrate[(2*x + 16*x^2 + 2*x*Log[(5*E^(-4 - 8*x))/x] + Log[(5*E^(-4 - 8*x))/x]^3)/((-3 + Log[5])*Log[(5*E^(-4 - 8*x))/x]^3),x]","\frac{\frac{x^2}{\log ^2\left(\frac{5 e^{-8 x-4}}{x}\right)}+x}{\log (5)-3}","\frac{\frac{x^2}{\log ^2\left(\frac{5 e^{-8 x-4}}{x}\right)}+x}{\log (5)-3}",1,"(x + x^2/Log[(5*E^(-4 - 8*x))/x]^2)/(-3 + Log[5])","A",1
5877,1,19,19,0.7311211,"\int \frac{e^{-x} \left(-12 x^2+7 x^3-x^4+x^5+\left(-20 x^4+9 x^5-x^6\right) \log (-4+x)\right)}{-4+x} \, dx","Integrate[(-12*x^2 + 7*x^3 - x^4 + x^5 + (-20*x^4 + 9*x^5 - x^6)*Log[-4 + x])/(E^x*(-4 + x)),x]","e^{-x} x^3 \left(x^2 \log (x-4)+1\right)","e^{-x} x^2 \left(x^3 \log (x-4)+x\right)",1,"(x^3*(1 + x^2*Log[-4 + x]))/E^x","A",1
5878,1,29,27,0.1148716,"\int \frac{81 x^6+36 x^7+3 x^8+e^{\frac{2 \left(16+8 x+x^2\right)}{x^4}} \left(-3200-1200 x-100 x^2-25 x^4\right)+\left(90 x^6+20 x^7\right) \log (25)+25 x^6 \log ^2(25)+e^{\frac{16+8 x+x^2}{x^4}} \left(-5760 x-2800 x^2-420 x^3-20 x^4+10 x^6+\left(-3200 x-1200 x^2-100 x^3\right) \log (25)\right)}{x^6} \, dx","Integrate[(81*x^6 + 36*x^7 + 3*x^8 + E^((2*(16 + 8*x + x^2))/x^4)*(-3200 - 1200*x - 100*x^2 - 25*x^4) + (90*x^6 + 20*x^7)*Log[25] + 25*x^6*Log[25]^2 + E^((16 + 8*x + x^2)/x^4)*(-5760*x - 2800*x^2 - 420*x^3 - 20*x^4 + 10*x^6 + (-3200*x - 1200*x^2 - 100*x^3)*Log[25]))/x^6,x]","\frac{\left(5 e^{\frac{(x+4)^2}{x^4}}+x (x+9+5 \log (25))\right)^2}{x}","x \left(5 \left(\frac{e^{\frac{(x+4)^2}{x^4}}}{x}+\log (25)\right)+x+9\right)^2",1,"(5*E^((4 + x)^2/x^4) + x*(9 + x + 5*Log[25]))^2/x","A",1
5879,1,24,23,0.3898109,"\int e^{-4 x-x^2} \left(2-10 x+2 x^3+\left(9-2 x^2\right) (i \pi +\log (6))\right) \, dx","Integrate[E^(-4*x - x^2)*(2 - 10*x + 2*x^3 + (9 - 2*x^2)*(I*Pi + Log[6])),x]","-e^{-x (x+4)} (x-2) (x-i \pi -\log (6))","e^{-x (x+4)} (x-2) (-x+i \pi +\log (6))",1,"-(((-2 + x)*((-I)*Pi + x - Log[6]))/E^(x*(4 + x)))","A",1
5880,1,43,24,0.0616684,"\int \left(4+e^{2 x} \left(-32+32 e-8 e^2\right)+e^{2 x+2 x^2} (-8-16 x)+e^{2 x+x^2} (32+e (-16-16 x)+32 x)\right) \, dx","Integrate[4 + E^(2*x)*(-32 + 32*E - 8*E^2) + E^(2*x + 2*x^2)*(-8 - 16*x) + E^(2*x + x^2)*(32 + E*(-16 - 16*x) + 32*x),x]","-8 (e-2) e^{x^2+2 x}-4 e^{2 x^2+2 x}+4 x-4 (e-2)^2 e^{2 x}","4 \left(-e^{2 x} \left(e^{x^2}-2+e\right)^2+x+5\right)+2",1,"-4*(-2 + E)^2*E^(2*x) - 8*(-2 + E)*E^(2*x + x^2) - 4*E^(2*x + 2*x^2) + 4*x","A",1
5881,1,13,23,0.0126551,"\int \frac{-128 x+e \left(196608-1536 x+3 x^2\right)}{65536 x-512 x^2+x^3} \, dx","Integrate[(-128*x + E*(196608 - 1536*x + 3*x^2))/(65536*x - 512*x^2 + x^3),x]","\frac{128}{x-256}+3 e \log (x)","-\frac{x}{2 (256-x)}+3 e \log (x)-4-\log (5)",1,"128/(-256 + x) + 3*E*Log[x]","A",1
5882,1,14,17,0.0066788,"\int \frac{10+4 x^2+5 x^3}{5 x+x^3+x^4} \, dx","Integrate[(10 + 4*x^2 + 5*x^3)/(5*x + x^3 + x^4),x]","\log \left(x^3+x^2+5\right)+2 \log (x)","\log \left(x \left(x^3+x^2+5\right) (x+x \log (4))\right)",1,"2*Log[x] + Log[5 + x^2 + x^3]","A",1
5883,1,29,27,0.4180054,"\int \frac{-24+e^x \left(6-3 x+3 x^3\right)+\left(12-12 x^2+e^x \left(-3+3 x^2\right)\right) \log \left(\frac{x^2}{4-4 x^2+e^x \left(-1+x^2\right)}\right)+\left(-12+12 x^2+e^x \left(3-3 x^2\right)\right) \log ^2\left(\frac{x^2}{4-4 x^2+e^x \left(-1+x^2\right)}\right)}{\left(4-4 x^2+e^x \left(-1+x^2\right)\right) \log ^2\left(\frac{x^2}{4-4 x^2+e^x \left(-1+x^2\right)}\right)} \, dx","Integrate[(-24 + E^x*(6 - 3*x + 3*x^3) + (12 - 12*x^2 + E^x*(-3 + 3*x^2))*Log[x^2/(4 - 4*x^2 + E^x*(-1 + x^2))] + (-12 + 12*x^2 + E^x*(3 - 3*x^2))*Log[x^2/(4 - 4*x^2 + E^x*(-1 + x^2))]^2)/((4 - 4*x^2 + E^x*(-1 + x^2))*Log[x^2/(4 - 4*x^2 + E^x*(-1 + x^2))]^2),x]","3 \left(\frac{x}{\log \left(\frac{x^2}{\left(e^x-4\right) \left(x^2-1\right)}\right)}-x\right)","x \left(\frac{3}{\log \left(\frac{x}{\left(e^x-4\right) \left(x-\frac{1}{x}\right)}\right)}-3\right)",1,"3*(-x + x/Log[x^2/((-4 + E^x)*(-1 + x^2))])","A",1
5884,1,26,14,0.0053616,"\int \frac{1}{25} \left(588+168 x^2+12 x^4+\left(588+504 x^2+60 x^4\right) \log (x)\right) \, dx","Integrate[(588 + 168*x^2 + 12*x^4 + (588 + 504*x^2 + 60*x^4)*Log[x])/25,x]","\frac{12}{25} x^5 \log (x)+\frac{168}{25} x^3 \log (x)+\frac{588}{25} x \log (x)","\frac{12}{25} x \left(x^2+7\right)^2 \log (x)",1,"(588*x*Log[x])/25 + (168*x^3*Log[x])/25 + (12*x^5*Log[x])/25","A",1
5885,1,35,28,0.1881181,"\int \frac{-8 e^{2 x^4} x^5+e^{\frac{3+x+x \log (5)+(3+x+x \log (5)) \log (x)}{x}} (x+x \log (5)-3 \log (x))}{x^2} \, dx","Integrate[(-8*E^(2*x^4)*x^5 + E^((3 + x + x*Log[5] + (3 + x + x*Log[5])*Log[x])/x)*(x + x*Log[5] - 3*Log[x]))/x^2,x]","5 e^{\frac{3}{x}+1} x^{\frac{x \log (5)+3}{x}+1}-e^{2 x^4}","-e^{2 x^4}+e^{\frac{(x+x \log (5)+3) (\log (x)+1)}{x}}+1",1,"-E^(2*x^4) + 5*E^(1 + 3/x)*x^(1 + (3 + x*Log[5])/x)","A",1
5886,1,11,14,0.0024842,"\int \left(3+4 e^{8+x}\right) \, dx","Integrate[3 + 4*E^(8 + x),x]","3 x+4 e^{x+8}","4 e^8 \left(e^x-8\right)+3 x",1,"4*E^(8 + x) + 3*x","A",1
5887,1,23,23,0.3727619,"\int \frac{1}{4} e^{x^2-x^{12}-e^x x^{12}+x^{13}} \left(10 x-60 x^{11}+65 x^{12}+e^x \left(-60 x^{11}-5 x^{12}\right)\right) \, dx","Integrate[(E^(x^2 - x^12 - E^x*x^12 + x^13)*(10*x - 60*x^11 + 65*x^12 + E^x*(-60*x^11 - 5*x^12)))/4,x]","\frac{5}{4} e^{x^{13}-\left(e^x+1\right) x^{12}+x^2}","\frac{5}{4} e^{x^2-\left(-x+e^x+1\right) x^{12}}",1,"(5*E^(x^2 - (1 + E^x)*x^12 + x^13))/4","A",1
5888,1,33,26,0.0437533,"\int \frac{1}{3} \left(125-375 e^3+e^{2 x} \left(-85+e^3 (255-30 x)+10 x\right)+e^x \left(-400+e^3 (1200-150 x)+50 x\right)\right) \, dx","Integrate[(125 - 375*E^3 + E^(2*x)*(-85 + E^3*(255 - 30*x) + 10*x) + E^x*(-400 + E^3*(1200 - 150*x) + 50*x))/3,x]","-\frac{5}{3} \left(3 e^3-1\right) \left(e^{2 x} (x-9)+25 x+e^x (10 x-90)\right)","-\frac{5 \left(e^x+5\right)^2 (x-9) \left(e^3 x-\frac{x}{3}\right)}{x}",1,"(-5*(-1 + 3*E^3)*(E^(2*x)*(-9 + x) + 25*x + E^x*(-90 + 10*x)))/3","A",1
5889,1,19,21,0.0198753,"\int \frac{-6+3 x+(-3+x) \log (9-3 x)}{-3+x} \, dx","Integrate[(-6 + 3*x + (-3 + x)*Log[9 - 3*x])/(-3 + x),x]","x \log (3-x)+x (2+\log (3))-\log (27)","2 x+x \log (3 (3-x))-2-\log ^2(4)",1,"x*(2 + Log[3]) - Log[27] + x*Log[3 - x]","A",1
5890,1,629,30,4.5621106,"\int \frac{e^x \left(36 x-60 x^2+42 x^3-24 x^4+6 x^5+\left(-12+48 x^2-48 x^3+12 x^4\right) \log (2)\right)}{x^4+\left(-4 x^2+4 x^3\right) \log (2)+\left(4-8 x+4 x^2\right) \log ^2(2)} \, dx","Integrate[(E^x*(36*x - 60*x^2 + 42*x^3 - 24*x^4 + 6*x^5 + (-12 + 48*x^2 - 48*x^3 + 12*x^4)*Log[2]))/(x^4 + (-4*x^2 + 4*x^3)*Log[2] + (4 - 8*x + 4*x^2)*Log[2]^2),x]","\frac{3 e^{-\frac{1}{2} \sqrt{\log (4) (4+\log (4))}} \left(3 e^{\sqrt{\log (4) (4+\log (4))}} \left(-3 \log ^{\frac{5}{2}}(4) \sqrt{4+\log (4)}+\log ^{\frac{3}{2}}(4) \sqrt{4+\log (4)} (2+\log (64))+5 \log ^3(4)-\log (16) \sqrt{\log ^2(4)+\log (256)}-\log ^2(4) (\log (1024)-2)-\log (4) \log (16)\right) \left(x^2+x \log (4)-\log (4)\right) \text{Ei}\left(x-\frac{1}{2} \sqrt{\log (4) (4+\log (4))}+\log (2)\right)-3 \left(x^2 \left(3 \log ^{\frac{5}{2}}(4) \sqrt{4+\log (4)}-\log ^{\frac{3}{2}}(4) \sqrt{4+\log (4)} (2+\log (64))+5 \log ^3(4)+\log (16) \sqrt{\log ^2(4)+\log (256)}-\log ^2(4) (\log (1024)-2)-\log (4) \log (16)\right)+x \log (4) \left(3 \log ^{\frac{5}{2}}(4) \sqrt{4+\log (4)}-\log ^{\frac{3}{2}}(4) \sqrt{4+\log (4)} (2+\log (64))+5 \log ^3(4)+\log (16) \sqrt{\log ^2(4)+\log (256)}-\log ^2(4) (\log (1024)-2)-\log (4) \log (16)\right)+\log ^2(4) \left(-3 \log ^{\frac{3}{2}}(4) \sqrt{4+\log (4)}-5 \log ^2(4)+\log (64) \sqrt{\log ^2(4)+\log (256)}+\log (4) \log (1024)\right)\right) \text{Ei}\left(x+\frac{1}{2} \left(\log (4)+\sqrt{\log (4) (4+\log (4))}\right)\right)+4 e^{x+\frac{1}{2} \sqrt{\log (4) (4+\log (4))}} \left(x^3 \left(\log ^{\frac{3}{2}}(4) \sqrt{4+\log (4)}+4 \sqrt{\log (4) (4+\log (4))}\right)-5 x^2 \left(\log ^{\frac{3}{2}}(4) \sqrt{4+\log (4)}+4 \sqrt{\log (4) (4+\log (4))}\right)-x \left((24 \log (2)-13) \log ^{\frac{3}{2}}(4) \sqrt{4+\log (4)}-3 \log ^{\frac{7}{2}}(4) \sqrt{4+\log (4)}+\log ^{\frac{5}{2}}(4) \sqrt{4+\log (4)} (\log (64)-12)+4 \sqrt{\log (4) (4+\log (4))} (\log (8)-7)\right)+3 \log ^{\frac{3}{2}}(4) \sqrt{4+\log (4)} (\log (64)-1)+\log ^{\frac{5}{2}}(4) \sqrt{4+\log (4)} (\log (64)-9)-3 \log ^{\frac{7}{2}}(4) \sqrt{4+\log (4)}-12 \sqrt{\log (4) (4+\log (4))}\right)\right)}{2 \sqrt{\log (4)} (4+\log (4))^{3/2} \left(x^2+x \log (4)-\log (4)\right)}","\frac{3 e^x x \left(x+\frac{3}{x}-4\right)}{\frac{x^2}{2 x-2}+\log (2)}",1,"(3*(4*E^(x + Sqrt[Log[4]*(4 + Log[4])]/2)*(-3*Log[4]^(7/2)*Sqrt[4 + Log[4]] - 12*Sqrt[Log[4]*(4 + Log[4])] - 5*x^2*(Log[4]^(3/2)*Sqrt[4 + Log[4]] + 4*Sqrt[Log[4]*(4 + Log[4])]) + x^3*(Log[4]^(3/2)*Sqrt[4 + Log[4]] + 4*Sqrt[Log[4]*(4 + Log[4])]) - x*((-13 + 24*Log[2])*Log[4]^(3/2)*Sqrt[4 + Log[4]] - 3*Log[4]^(7/2)*Sqrt[4 + Log[4]] + 4*Sqrt[Log[4]*(4 + Log[4])]*(-7 + Log[8]) + Log[4]^(5/2)*Sqrt[4 + Log[4]]*(-12 + Log[64])) + Log[4]^(5/2)*Sqrt[4 + Log[4]]*(-9 + Log[64]) + 3*Log[4]^(3/2)*Sqrt[4 + Log[4]]*(-1 + Log[64])) + 3*E^Sqrt[Log[4]*(4 + Log[4])]*ExpIntegralEi[x + Log[2] - Sqrt[Log[4]*(4 + Log[4])]/2]*(x^2 - Log[4] + x*Log[4])*(5*Log[4]^3 - 3*Log[4]^(5/2)*Sqrt[4 + Log[4]] - Log[4]*Log[16] + Log[4]^(3/2)*Sqrt[4 + Log[4]]*(2 + Log[64]) - Log[16]*Sqrt[Log[4]^2 + Log[256]] - Log[4]^2*(-2 + Log[1024])) - 3*ExpIntegralEi[x + (Log[4] + Sqrt[Log[4]*(4 + Log[4])])/2]*(x^2*(5*Log[4]^3 + 3*Log[4]^(5/2)*Sqrt[4 + Log[4]] - Log[4]*Log[16] - Log[4]^(3/2)*Sqrt[4 + Log[4]]*(2 + Log[64]) + Log[16]*Sqrt[Log[4]^2 + Log[256]] - Log[4]^2*(-2 + Log[1024])) + x*Log[4]*(5*Log[4]^3 + 3*Log[4]^(5/2)*Sqrt[4 + Log[4]] - Log[4]*Log[16] - Log[4]^(3/2)*Sqrt[4 + Log[4]]*(2 + Log[64]) + Log[16]*Sqrt[Log[4]^2 + Log[256]] - Log[4]^2*(-2 + Log[1024])) + Log[4]^2*(-5*Log[4]^2 - 3*Log[4]^(3/2)*Sqrt[4 + Log[4]] + Log[64]*Sqrt[Log[4]^2 + Log[256]] + Log[4]*Log[1024]))))/(2*E^(Sqrt[Log[4]*(4 + Log[4])]/2)*Sqrt[Log[4]]*(4 + Log[4])^(3/2)*(x^2 - Log[4] + x*Log[4]))","C",0
5891,1,38,27,0.3278134,"\int \frac{e^{-\frac{2 \left(-5+x^2\right)}{x}} \left(5 e^{\frac{2 \left(-5+x^2\right)}{x}} x^2+e^{32 e^{-\frac{2 \left(-5+x^2\right)}{x}}} \left(320+64 x^2\right)+e^{16 e^{-\frac{2 \left(-5+x^2\right)}{x}}} \left(960+192 x^2\right)\right)}{x^2} \, dx","Integrate[(5*E^((2*(-5 + x^2))/x)*x^2 + E^(32/E^((2*(-5 + x^2))/x))*(320 + 64*x^2) + E^(16/E^((2*(-5 + x^2))/x))*(960 + 192*x^2))/(E^((2*(-5 + x^2))/x)*x^2),x]","5 x-6 e^{16 e^{\frac{10}{x}-2 x}}-e^{32 e^{\frac{10}{x}-2 x}}","-\left(e^{16 e^{-\frac{2 \left(x^2-5\right)}{x}}}+3\right)^2+5 x-2",1,"-6*E^(16*E^(10/x - 2*x)) - E^(32*E^(10/x - 2*x)) + 5*x","A",1
5892,1,21,19,0.2710136,"\int e^{2+e^x+x+4 x^3+4 x^4 \log (x)} \left(1+e^x+12 x^2+4 x^3+16 x^3 \log (x)\right) \, dx","Integrate[E^(2 + E^x + x + 4*x^3 + 4*x^4*Log[x])*(1 + E^x + 12*x^2 + 4*x^3 + 16*x^3*Log[x]),x]","e^{4 x^3+x+e^x+2} x^{4 x^4}","e^{x^3 (4 x \log (x)+4)+x+e^x+2}",1,"E^(2 + E^x + x + 4*x^3)*x^(4*x^4)","A",1
5893,1,26,26,0.2669031,"\int \frac{-3 x-7 x^2-4 x^3+\left(6 x+3 x^2-4 x^4\right) \log (x)+\left(x^3-6 x^4\right) \log ^2(x)+4 x^3 \log ^3(x)}{4 x^2-4 x \log (x)+\log ^2(x)} \, dx","Integrate[(-3*x - 7*x^2 - 4*x^3 + (6*x + 3*x^2 - 4*x^4)*Log[x] + (x^3 - 6*x^4)*Log[x]^2 + 4*x^3*Log[x]^3)/(4*x^2 - 4*x*Log[x] + Log[x]^2),x]","-\frac{x^2 \left(x^2 \log ^2(x)+x+3\right)}{2 x-\log (x)}","\frac{x \left(x \left(x^2 \log ^2(x)+x\right)+3 x\right)}{\log (x)-2 x}",1,"-((x^2*(3 + x + x^2*Log[x]^2))/(2*x - Log[x]))","A",1
5894,1,22,22,0.110629,"\int \frac{\left(-8 x-2 x \log \left(\frac{1}{x}\right)\right) \log \left(16+8 \log \left(\frac{1}{x}\right)+\log ^2\left(\frac{1}{x}\right)\right)+\left(8+\left(64+16 \log \left(\frac{1}{x}\right)\right) \log \left(16+8 \log \left(\frac{1}{x}\right)+\log ^2\left(\frac{1}{x}\right)\right)\right) \log \left(\frac{\log \left(16+8 \log \left(\frac{1}{x}\right)+\log ^2\left(\frac{1}{x}\right)\right)}{x^4}\right)}{\left(4 x^3+x^3 \log \left(\frac{1}{x}\right)\right) \log \left(16+8 \log \left(\frac{1}{x}\right)+\log ^2\left(\frac{1}{x}\right)\right)+\left(8 x^2+2 x^2 \log \left(\frac{1}{x}\right)\right) \log \left(16+8 \log \left(\frac{1}{x}\right)+\log ^2\left(\frac{1}{x}\right)\right) \log ^2\left(\frac{\log \left(16+8 \log \left(\frac{1}{x}\right)+\log ^2\left(\frac{1}{x}\right)\right)}{x^4}\right)+\left(4 x+x \log \left(\frac{1}{x}\right)\right) \log \left(16+8 \log \left(\frac{1}{x}\right)+\log ^2\left(\frac{1}{x}\right)\right) \log ^4\left(\frac{\log \left(16+8 \log \left(\frac{1}{x}\right)+\log ^2\left(\frac{1}{x}\right)\right)}{x^4}\right)} \, dx","Integrate[((-8*x - 2*x*Log[x^(-1)])*Log[16 + 8*Log[x^(-1)] + Log[x^(-1)]^2] + (8 + (64 + 16*Log[x^(-1)])*Log[16 + 8*Log[x^(-1)] + Log[x^(-1)]^2])*Log[Log[16 + 8*Log[x^(-1)] + Log[x^(-1)]^2]/x^4])/((4*x^3 + x^3*Log[x^(-1)])*Log[16 + 8*Log[x^(-1)] + Log[x^(-1)]^2] + (8*x^2 + 2*x^2*Log[x^(-1)])*Log[16 + 8*Log[x^(-1)] + Log[x^(-1)]^2]*Log[Log[16 + 8*Log[x^(-1)] + Log[x^(-1)]^2]/x^4]^2 + (4*x + x*Log[x^(-1)])*Log[16 + 8*Log[x^(-1)] + Log[x^(-1)]^2]*Log[Log[16 + 8*Log[x^(-1)] + Log[x^(-1)]^2]/x^4]^4),x]","\frac{2}{\log ^2\left(\frac{\log \left(\left(\log \left(\frac{1}{x}\right)+4\right)^2\right)}{x^4}\right)+x}","\frac{2}{\log ^2\left(\frac{\log \left(\left(\log \left(\frac{1}{x}\right)+4\right)^2\right)}{x^4}\right)+x}",1,"2/(x + Log[Log[(4 + Log[x^(-1)])^2]/x^4]^2)","A",1
5895,1,25,22,0.0594416,"\int \frac{-4+e^{10} (-1+x)+x+e^{10} (2-2 x) \log (-1+x)+e^{10} (-1+x) \log ^2(-1+x)}{e^{10} \left(4-5 x+x^2\right)+e^{10} \left(-8+10 x-2 x^2\right) \log (-1+x)+e^{10} \left(4-5 x+x^2\right) \log ^2(-1+x)} \, dx","Integrate[(-4 + E^10*(-1 + x) + x + E^10*(2 - 2*x)*Log[-1 + x] + E^10*(-1 + x)*Log[-1 + x]^2)/(E^10*(4 - 5*x + x^2) + E^10*(-8 + 10*x - 2*x^2)*Log[-1 + x] + E^10*(4 - 5*x + x^2)*Log[-1 + x]^2),x]","\frac{e^{10} \log (4-x)-\frac{1}{\log (x-1)-1}}{e^{10}}","\log (4-x)+\frac{1}{e^{10} (1-\log (x-1))}-3",1,"(E^10*Log[4 - x] - (-1 + Log[-1 + x])^(-1))/E^10","A",1
5896,1,13,18,0.0338951,"\int \left(1+4 e^{4 e^{e^{e^x}}+e^{e^x}+e^x+x}\right) \, dx","Integrate[1 + 4*E^(4*E^E^E^x + E^E^x + E^x + x),x]","x+e^{4 e^{e^{e^x}}}","x+e^{4 e^{e^{e^x}}}+260-\log (4)",1,"E^(4*E^E^E^x) + x","A",1
5897,1,17,17,0.0067559,"\int \frac{3+e^{4-x}}{e^2} \, dx","Integrate[(3 + E^(4 - x))/E^2,x]","\frac{3 x-e^{4-x}}{e^2}","\frac{3 x-e^{4-x}}{e^2}",1,"(-E^(4 - x) + 3*x)/E^2","A",1
5898,1,27,24,5.0343457,"\int \frac{25-64 x^3+16 x^4+\left(-75+225 x+16 x^4-48 x^5\right) \log \left(\frac{1-3 x}{x}\right)}{\left(-16 x^4+48 x^5\right) \log ^2\left(\frac{1-3 x}{x}\right)} \, dx","Integrate[(25 - 64*x^3 + 16*x^4 + (-75 + 225*x + 16*x^4 - 48*x^5)*Log[(1 - 3*x)/x])/((-16*x^4 + 48*x^5)*Log[(1 - 3*x)/x]^2),x]","\frac{-16 x^4+64 x^3-25}{16 x^3 \log \left(\frac{1}{x}-3\right)}","\frac{\left(-\frac{25}{16 x^4}+\frac{4}{x}-1\right) x}{\log \left(\frac{1}{x}-3\right)}",1,"(-25 + 64*x^3 - 16*x^4)/(16*x^3*Log[-3 + x^(-1)])","A",1
5899,1,23,23,0.1379659,"\int \frac{e^{-2 e^x+2 x} \left(24 x+24 x^2-24 e^x x^2+e^{2 e^x-2 x} \log (4)\right)}{\log (4)} \, dx","Integrate[(E^(-2*E^x + 2*x)*(24*x + 24*x^2 - 24*E^x*x^2 + E^(2*E^x - 2*x)*Log[4]))/Log[4],x]","\frac{x \left(12 e^{2 x-2 e^x} x+\log (4)\right)}{\log (4)}","\frac{12 e^{2 x-2 e^x} x^2}{\log (4)}+x-3",1,"(x*(12*E^(-2*E^x + 2*x)*x + Log[4]))/Log[4]","A",1
5900,1,200,25,2.9430784,"\int \frac{\exp \left(\frac{\left(100 x-40 x^2+4 x^3+e^4 \left(25 x-10 x^2+x^3\right)\right) \log ^2\left(\frac{e}{3}\right)+\left(-40 x+8 x^2+e^4 \left(-10 x+2 x^2\right)\right) \log \left(\frac{e}{3}\right) \log (x)+\left(4 x+e^4 x\right) \log ^2(x)}{\log ^2\left(\frac{e}{3}\right)}\right) \left(\left(100-80 x+12 x^2+e^4 \left(25-20 x+3 x^2\right)\right) \log ^2\left(\frac{e}{3}\right)+\left(8+2 e^4\right) \log (x)+\left(4+e^4\right) \log ^2(x)+\log \left(\frac{e}{3}\right) \left(-40+8 x+e^4 (-10+2 x)+\left(-40+16 x+e^4 (-10+4 x)\right) \log (x)\right)\right)}{\log ^2\left(\frac{e}{3}\right)} \, dx","Integrate[(E^(((100*x - 40*x^2 + 4*x^3 + E^4*(25*x - 10*x^2 + x^3))*Log[E/3]^2 + (-40*x + 8*x^2 + E^4*(-10*x + 2*x^2))*Log[E/3]*Log[x] + (4*x + E^4*x)*Log[x]^2)/Log[E/3]^2)*((100 - 80*x + 12*x^2 + E^4*(25 - 20*x + 3*x^2))*Log[E/3]^2 + (8 + 2*E^4)*Log[x] + (4 + E^4)*Log[x]^2 + Log[E/3]*(-40 + 8*x + E^4*(-10 + 2*x) + (-40 + 16*x + E^4*(-10 + 4*x))*Log[x])))/Log[E/3]^2,x]","\frac{\int \left(\left(12 x^2+e^4 \left(3 x^2-20 x+25\right)-80 x+100\right) \log ^2\left(\frac{e}{3}\right)+\left(4+e^4\right) \log ^2(x)+\left(8+2 e^4\right) \log (x)+\log \left(\frac{e}{3}\right) \left(8 x+e^4 (2 x-10)+\left(16 x+e^4 (4 x-10)-40\right) \log (x)-40\right)\right) \exp \left(\frac{\left(8 x^2+e^4 \left(2 x^2-10 x\right)-40 x\right) \log \left(\frac{e}{3}\right) \log (x)+\left(4 x^3-40 x^2+e^4 \left(x^3-10 x^2+25 x\right)+100 x\right) \log ^2\left(\frac{e}{3}\right)+\left(e^4 x+4 x\right) \log ^2(x)}{\log ^2\left(\frac{e}{3}\right)}\right) \, dx}{\log ^2\left(\frac{e}{3}\right)}","e^{\left(4+e^4\right) x \left(x+\frac{\log (x)}{\log \left(\frac{e}{3}\right)}-5\right)^2}",1,"Integrate[E^(((100*x - 40*x^2 + 4*x^3 + E^4*(25*x - 10*x^2 + x^3))*Log[E/3]^2 + (-40*x + 8*x^2 + E^4*(-10*x + 2*x^2))*Log[E/3]*Log[x] + (4*x + E^4*x)*Log[x]^2)/Log[E/3]^2)*((100 - 80*x + 12*x^2 + E^4*(25 - 20*x + 3*x^2))*Log[E/3]^2 + (8 + 2*E^4)*Log[x] + (4 + E^4)*Log[x]^2 + Log[E/3]*(-40 + 8*x + E^4*(-10 + 2*x) + (-40 + 16*x + E^4*(-10 + 4*x))*Log[x])), x]/Log[E/3]^2","F",1
5901,1,24,20,0.2710507,"\int \frac{-2+x^2+e^{2 e^x} \left(-2+4 e^x x\right)}{2 x+2 e^{2 e^x} x+3 e x^2+x^3} \, dx","Integrate[(-2 + x^2 + E^(2*E^x)*(-2 + 4*E^x*x))/(2*x + 2*E^(2*E^x)*x + 3*E*x^2 + x^3),x]","\log \left(x^2+3 e x+2 e^{2 e^x}+2\right)-\log (x)","\log \left(\frac{2 \left(e^{2 e^x}+1\right)}{x}+x+3 e\right)",1,"-Log[x] + Log[2 + 2*E^(2*E^x) + 3*E*x + x^2]","A",1
5902,1,15,15,0.0315173,"\int e^{-6-4 x^3} \left(-60 x^2+3 e^{6+4 x^3} x^2\right) \, dx","Integrate[E^(-6 - 4*x^3)*(-60*x^2 + 3*E^(6 + 4*x^3)*x^2),x]","x^3+5 e^{-4 x^3-6}","x^3+5 e^{-4 x^3-6}",1,"5*E^(-6 - 4*x^3) + x^3","A",1
5903,1,28,31,0.0475168,"\int \frac{-8+2 x+100 x^4 \log \left(16-8 x+x^2\right)+\left(-200 x^3+50 x^4\right) \log ^2\left(16-8 x+x^2\right)}{\left(8 x-2 x^2+\left(-100 x^4+25 x^5\right) \log ^2\left(16-8 x+x^2\right)\right) \log \left(\frac{-2+25 x^3 \log ^2\left(16-8 x+x^2\right)}{2 x \log ^2(3)}\right)} \, dx","Integrate[(-8 + 2*x + 100*x^4*Log[16 - 8*x + x^2] + (-200*x^3 + 50*x^4)*Log[16 - 8*x + x^2]^2)/((8*x - 2*x^2 + (-100*x^4 + 25*x^5)*Log[16 - 8*x + x^2]^2)*Log[(-2 + 25*x^3*Log[16 - 8*x + x^2]^2)/(2*x*Log[3]^2)]),x]","\log \left(\log \left(\frac{25 x^3 \log ^2\left((x-4)^2\right)-2}{2 x \log ^2(3)}\right)\right)","\log \left(\log \left(\frac{25 x^2 \log ^2\left((4-x)^2\right)-\frac{2}{x}}{2 \log ^2(3)}\right)\right)",1,"Log[Log[(-2 + 25*x^3*Log[(-4 + x)^2]^2)/(2*x*Log[3]^2)]]","A",1
5904,1,17,18,0.0023866,"\int \left(-16+e^{2 x} \left(32-2 \log \left(\frac{6561}{625}\right)\right)+\log \left(\frac{6561}{625}\right)\right) \, dx","Integrate[-16 + E^(2*x)*(32 - 2*Log[6561/625]) + Log[6561/625],x]","-\left(\left(e^{2 x}-x\right) \left(\log \left(\frac{6561}{625}\right)-16\right)\right)","\left(e^{2 x}-x\right) \left(16-\log \left(\frac{6561}{625}\right)\right)",1,"-((E^(2*x) - x)*(-16 + Log[6561/625]))","A",1
5905,1,44,27,0.071048,"\int \frac{-358+1765 x-2425 x^2+625 x^3+(385-125 x) \log (77-25 x)}{-308+1640 x-2425 x^2+625 x^3} \, dx","Integrate[(-358 + 1765*x - 2425*x^2 + 625*x^3 + (385 - 125*x)*Log[77 - 25*x])/(-308 + 1640*x - 2425*x^2 + 625*x^3),x]","x+\left(\frac{1}{5 x-2}+\frac{5}{67}\right) \log (77-25 x)-\frac{5}{67} \log (2-5 x)+\frac{10}{67} \tanh ^{-1}\left(\frac{1}{67} (50 x-87)\right)","-\frac{x \log (25 (3-x)+2)}{2 x-5 x^2}+x+4",1,"x + (10*ArcTanh[(-87 + 50*x)/67])/67 + (5/67 + (-2 + 5*x)^(-1))*Log[77 - 25*x] - (5*Log[2 - 5*x])/67","A",1
5906,1,28,27,0.0742638,"\int \frac{164-36 e^4+32 x+e^x \left(48+4 x-2 x^2+e^4 (-12+2 x)\right)+\left(16-4 e^4+4 x\right) \log \left(4-e^4+x\right)}{-256+e^{2 x} \left(-4+e^4-x\right)-192 x-48 x^2-4 x^3+e^4 \left(64+32 x+4 x^2\right)+e^x \left(-64-32 x-4 x^2+e^4 (16+4 x)\right)+\left(-128+e^x \left(-16+4 e^4-4 x\right)-64 x-8 x^2+e^4 (32+8 x)\right) \log \left(4-e^4+x\right)+\left(-16+4 e^4-4 x\right) \log ^2\left(4-e^4+x\right)} \, dx","Integrate[(164 - 36*E^4 + 32*x + E^x*(48 + 4*x - 2*x^2 + E^4*(-12 + 2*x)) + (16 - 4*E^4 + 4*x)*Log[4 - E^4 + x])/(-256 + E^(2*x)*(-4 + E^4 - x) - 192*x - 48*x^2 - 4*x^3 + E^4*(64 + 32*x + 4*x^2) + E^x*(-64 - 32*x - 4*x^2 + E^4*(16 + 4*x)) + (-128 + E^x*(-16 + 4*E^4 - 4*x) - 64*x - 8*x^2 + E^4*(32 + 8*x))*Log[4 - E^4 + x] + (-16 + 4*E^4 - 4*x)*Log[4 - E^4 + x]^2),x]","\frac{2 (5-x)}{2 x+e^x+2 \log \left(x-e^4+4\right)+8}","\frac{5-x}{x+\frac{e^x}{2}+\log \left(x-e^4+4\right)+4}",1,"(2*(5 - x))/(8 + E^x + 2*x + 2*Log[4 - E^4 + x])","A",1
5907,1,26,25,0.4751558,"\int \frac{e^{-2 e^{-4+x}} \left(-2 x^3+2 e^{-4+x} x^4+e^{2 e^{-4+x}+x} \left(-5+5 x+x^2\right)\right)}{x^2} \, dx","Integrate[(-2*x^3 + 2*E^(-4 + x)*x^4 + E^(2*E^(-4 + x) + x)*(-5 + 5*x + x^2))/(E^(2*E^(-4 + x))*x^2),x]","-e^{-2 e^{x-4}} x^2+e^x+\frac{5 e^x}{x}","\frac{e^x (x+5)}{x}-e^{-2 e^{x-4}} x^2",1,"E^x + (5*E^x)/x - x^2/E^(2*E^(-4 + x))","A",1
5908,0,0,25,0.4584127,"\int \frac{-e+6 e^{2 x} x \log ^2\left(5 e^x\right)+\left(6-6 e^x x\right) \log (x)+\log \left(5 e^x\right) \left(-6 e^x+6 e^{2 x} x-6 e^x x \log (x)\right)}{3 e^{2 x} x \log ^2\left(5 e^x\right)-e x \log (x)-6 e^x x \log \left(5 e^x\right) \log (x)+3 x \log ^2(x)} \, dx","Integrate[(-E + 6*E^(2*x)*x*Log[5*E^x]^2 + (6 - 6*E^x*x)*Log[x] + Log[5*E^x]*(-6*E^x + 6*E^(2*x)*x - 6*E^x*x*Log[x]))/(3*E^(2*x)*x*Log[5*E^x]^2 - E*x*Log[x] - 6*E^x*x*Log[5*E^x]*Log[x] + 3*x*Log[x]^2),x]","\int \frac{-e+6 e^{2 x} x \log ^2\left(5 e^x\right)+\left(6-6 e^x x\right) \log (x)+\log \left(5 e^x\right) \left(-6 e^x+6 e^{2 x} x-6 e^x x \log (x)\right)}{3 e^{2 x} x \log ^2\left(5 e^x\right)-e x \log (x)-6 e^x x \log \left(5 e^x\right) \log (x)+3 x \log ^2(x)} \, dx","\log \left(\log (x)-\frac{3 \left(\log (x)-e^x \log \left(5 e^x\right)\right)^2}{e}\right)",1,"Integrate[(-E + 6*E^(2*x)*x*Log[5*E^x]^2 + (6 - 6*E^x*x)*Log[x] + Log[5*E^x]*(-6*E^x + 6*E^(2*x)*x - 6*E^x*x*Log[x]))/(3*E^(2*x)*x*Log[5*E^x]^2 - E*x*Log[x] - 6*E^x*x*Log[5*E^x]*Log[x] + 3*x*Log[x]^2), x]","F",-1
5909,1,12,14,0.0150396,"\int e^{5-x} (-82+x) \, dx","Integrate[E^(5 - x)*(-82 + x),x]","-e^{5-x} (x-81)","2-e^{5-x} (x-81)",1,"-(E^(5 - x)*(-81 + x))","A",1
5910,1,33,24,0.190033,"\int \frac{5 \log ^4(2)+5 e^{2 x} \log ^2(3)+e^x \left(-3 x \log ^2(2)-10 \log ^2(2) \log (3)\right)}{5 x \log ^4(2)-10 e^x x \log ^2(2) \log (3)+5 e^{2 x} x \log ^2(3)} \, dx","Integrate[(5*Log[2]^4 + 5*E^(2*x)*Log[3]^2 + E^x*(-3*x*Log[2]^2 - 10*Log[2]^2*Log[3]))/(5*x*Log[2]^4 - 10*E^x*x*Log[2]^2*Log[3] + 5*E^(2*x)*x*Log[3]^2),x]","\frac{1}{5} \left(5 \log (x)-\frac{3 \log ^2(2)}{\log (3) \left(\log ^2(2)-e^x \log (3)\right)}\right)","\log (x)-\frac{3}{5 \left(e^{-x} \log ^2(2)-\log (3)\right)}",1,"((-3*Log[2]^2)/(Log[3]*(Log[2]^2 - E^x*Log[3])) + 5*Log[x])/5","A",1
5911,1,22,25,0.7147547,"\int \frac{e^{3-x \log \left(\frac{1}{3} \left(e^5 x-3 \log (x)\right)\right)} \left(-12+4 e^5 x+\left(4 e^5 x-12 \log (x)\right) \log \left(\frac{1}{3} \left(e^5 x-3 \log (x)\right)\right)\right)}{-e^5 x+3 \log (x)} \, dx","Integrate[(E^(3 - x*Log[(E^5*x - 3*Log[x])/3])*(-12 + 4*E^5*x + (4*E^5*x - 12*Log[x])*Log[(E^5*x - 3*Log[x])/3]))/(-(E^5*x) + 3*Log[x]),x]","4 e^3 \left(\frac{e^5 x}{3}-\log (x)\right)^{-x}","4 \left(e^{3-x \log \left(\frac{e^5 x}{3}-\log (x)\right)}-4\right)",1,"(4*E^3)/((E^5*x)/3 - Log[x])^x","A",1
5912,1,49,32,0.0653247,"\int \frac{48-8 x^2-14 x^3-3 x^4+e^{5-x} \left(4 x^2+6 x^3+x^4\right)}{3 x^2} \, dx","Integrate[(48 - 8*x^2 - 14*x^3 - 3*x^4 + E^(5 - x)*(4*x^2 + 6*x^3 + x^4))/(3*x^2),x]","\frac{1}{3} \left(-x^3-7 x^2+e^{-x} \left(-e^5 x^2-8 e^5 x-12 e^5\right)-8 x-\frac{48}{x}\right)","\frac{\left(-x^2-e^{5-x} x+x-4\right) \left((x+4)^2-4\right)}{3 x}",1,"(-48/x - 8*x - 7*x^2 - x^3 + (-12*E^5 - 8*E^5*x - E^5*x^2)/E^x)/3","A",1
5913,1,44,26,0.0082299,"\int \frac{-100+\left(-20 x^2+50 x^3\right) \log ^2(3)+\left(-10 x^5+54 x^6-30 x^7+4 x^8\right) \log ^4(3)}{x^5 \log ^4(3)} \, dx","Integrate[(-100 + (-20*x^2 + 50*x^3)*Log[3]^2 + (-10*x^5 + 54*x^6 - 30*x^7 + 4*x^8)*Log[3]^4)/(x^5*Log[3]^4),x]","x^4+\frac{25}{x^4 \log ^4(3)}-10 x^3+27 x^2+\frac{10}{x^2 \log ^2(3)}-10 x-\frac{50}{x \log ^2(3)}","\log \left(3 e^{\left(\frac{5}{x^2 \log ^2(3)}+(x-2)^2-x-3\right)^2}\right)",1,"-10*x + 27*x^2 - 10*x^3 + x^4 + 25/(x^4*Log[3]^4) + 10/(x^2*Log[3]^2) - 50/(x*Log[3]^2)","A",1
5914,0,0,20,0.3879549,"\int \frac{-15+5 \log (x)+(4 x-2 x \log (x)) \log (3 x-x \log (x))+(6 x-2 x \log (x)) \log ^2(3 x-x \log (x))}{-3+\log (x)} \, dx","Integrate[(-15 + 5*Log[x] + (4*x - 2*x*Log[x])*Log[3*x - x*Log[x]] + (6*x - 2*x*Log[x])*Log[3*x - x*Log[x]]^2)/(-3 + Log[x]),x]","\int \frac{-15+5 \log (x)+(4 x-2 x \log (x)) \log (3 x-x \log (x))+(6 x-2 x \log (x)) \log ^2(3 x-x \log (x))}{-3+\log (x)} \, dx","5 x-x^2 \log ^2(x (3-\log (x)))",1,"Integrate[(-15 + 5*Log[x] + (4*x - 2*x*Log[x])*Log[3*x - x*Log[x]] + (6*x - 2*x*Log[x])*Log[3*x - x*Log[x]]^2)/(-3 + Log[x]), x]","F",-1
5915,1,14,20,0.0173814,"\int \frac{76-6 x+40 \log (2)}{361 x^3-38 x^4+x^5+\left(380 x^3-20 x^4\right) \log (2)+100 x^3 \log ^2(2)} \, dx","Integrate[(76 - 6*x + 40*Log[2])/(361*x^3 - 38*x^4 + x^5 + (380*x^3 - 20*x^4)*Log[2] + 100*x^3*Log[2]^2),x]","\frac{2}{x^2 (x-19-10 \log (2))}","\frac{2}{x^3+x^2-10 x^2 (2+\log (2))}",1,"2/(x^2*(-19 + x - 10*Log[2]))","A",1
5916,1,79,31,0.0990521,"\int \frac{-1+4 x^2-5 x^4+2 x^6+e^{x^2} \left(-3+2 x-x^4\right)}{-x+2 x^3-x^5+e^{x^2} \left(2-3 x-3 x^2+4 x^3+x^4-x^5+e^5 \left(4-8 x^2+4 x^4\right)\right)} \, dx","Integrate[(-1 + 4*x^2 - 5*x^4 + 2*x^6 + E^x^2*(-3 + 2*x - x^4))/(-x + 2*x^3 - x^5 + E^x^2*(2 - 3*x - 3*x^2 + 4*x^3 + x^4 - x^5 + E^5*(4 - 8*x^2 + 4*x^4))),x]","-x^2-\log \left(1-x^2\right)+\log \left(-x^3+e^{x^2} x^2+4 e^{x^2+5} x^2+3 e^{x^2} x-2 e^{x^2}-4 e^{x^2+5}-e^{x^2} x^3+x\right)","\log \left(e^{-x^2} x+\frac{x-2}{x-\frac{1}{x}}+x-4 e^5-2\right)",1,"-x^2 - Log[1 - x^2] + Log[-2*E^x^2 - 4*E^(5 + x^2) + x + 3*E^x^2*x + E^x^2*x^2 + 4*E^(5 + x^2)*x^2 - x^3 - E^x^2*x^3]","B",1
5917,1,57,28,0.0059417,"\int \left(1+128 x+816 x^2+1312 x^3+480 x^4+192 x^5+\left(32 x+192 x^2+256 x^3\right) \log (2+\log (4))\right) \, dx","Integrate[1 + 128*x + 816*x^2 + 1312*x^3 + 480*x^4 + 192*x^5 + (32*x + 192*x^2 + 256*x^3)*Log[2 + Log[4]],x]","32 x^6+96 x^5+328 x^4+64 x^4 \log (2+\log (4))+272 x^3+64 x^3 \log (2+\log (4))+64 x^2+16 x^2 \log (2+\log (4))+x","x^2 (8 x+4)^2 \left(\frac{x^2}{2}+x+4+\log (2+\log (4))\right)+x",1,"x + 64*x^2 + 272*x^3 + 328*x^4 + 96*x^5 + 32*x^6 + 16*x^2*Log[2 + Log[4]] + 64*x^3*Log[2 + Log[4]] + 64*x^4*Log[2 + Log[4]]","B",1
5918,1,27,22,0.0900871,"\int \frac{e^x \left(3-15 x+15 x^2+625 x^3\right)+e^x \left(-3 x-250 x^2\right) \log (x)+25 e^x x \log ^2(x)}{25 x^3 \log (9)-10 x^2 \log (9) \log (x)+x \log (9) \log ^2(x)} \, dx","Integrate[(E^x*(3 - 15*x + 15*x^2 + 625*x^3) + E^x*(-3*x - 250*x^2)*Log[x] + 25*E^x*x*Log[x]^2)/(25*x^3*Log[9] - 10*x^2*Log[9]*Log[x] + x*Log[9]*Log[x]^2),x]","\frac{e^x (125 x-25 \log (x)+3)}{\log (9) (5 x-\log (x))}","\frac{e^x \left(\frac{3}{5 x-\log (x)}+25\right)}{\log (9)}",1,"(E^x*(3 + 125*x - 25*Log[x]))/(Log[9]*(5*x - Log[x]))","A",1
5919,1,44,26,0.3387074,"\int \frac{250+400 x+180 x^2+32 x^3+2 x^4+e^{2 e^{2 x}} \left(-2+e^{2 x} (20+4 x)\right)+\left(250+150 x+30 x^2+2 x^3\right) \log ^4(3)+e^{e^{2 x}} \left(-40-8 x+(10+2 x) \log ^4(3)+e^{2 x} \left(-100-140 x-44 x^2-4 x^3+\left(-100-40 x-4 x^2\right) \log ^4(3)\right)\right)}{125+75 x+15 x^2+x^3} \, dx","Integrate[(250 + 400*x + 180*x^2 + 32*x^3 + 2*x^4 + E^(2*E^(2*x))*(-2 + E^(2*x)*(20 + 4*x)) + (250 + 150*x + 30*x^2 + 2*x^3)*Log[3]^4 + E^E^(2*x)*(-40 - 8*x + (10 + 2*x)*Log[3]^4 + E^(2*x)*(-100 - 140*x - 44*x^2 - 4*x^3 + (-100 - 40*x - 4*x^2)*Log[3]^4)))/(125 + 75*x + 15*x^2 + x^3),x]","\frac{\left(x (x+5)-e^{e^{2 x}}\right) \left((x+5) \left(x+2+2 \log ^4(3)\right)-e^{e^{2 x}}\right)}{(x+5)^2}","\left(-x+\frac{e^{e^{2 x}}}{x+5}-1-\log ^4(3)\right)^2",1,"((-E^E^(2*x) + x*(5 + x))*(-E^E^(2*x) + (5 + x)*(2 + x + 2*Log[3]^4)))/(5 + x)^2","A",1
5920,1,24,18,0.0463358,"\int \frac{3 \log ^2(4)+e^{\frac{13-25 x}{25 \log ^2(4)}} \left(-x+\log ^2(4)\right)}{\log ^2(4)} \, dx","Integrate[(3*Log[4]^2 + E^((13 - 25*x)/(25*Log[4]^2))*(-x + Log[4]^2))/Log[4]^2,x]","3 x+x e^{\frac{13}{25 \log ^2(4)}-\frac{x}{\log ^2(4)}}","x \left(e^{\frac{\frac{13}{25}-x}{\log ^2(4)}}+3\right)",1,"3*x + E^(13/(25*Log[4]^2) - x/Log[4]^2)*x","A",1
5921,1,24,33,0.0233435,"\int \frac{-84 x^2-32 x^4+\left(-80 x+2 x^2-32 x^3\right) \log (2)+\left(-20-8 x^2\right) \log ^2(2)}{4 x^4+4 x^3 \log (2)+x^2 \log ^2(2)} \, dx","Integrate[(-84*x^2 - 32*x^4 + (-80*x + 2*x^2 - 32*x^3)*Log[2] + (-20 - 8*x^2)*Log[2]^2)/(4*x^4 + 4*x^3*Log[2] + x^2*Log[2]^2),x]","-2 \left(4 x-\frac{10}{x}+\frac{\log (2)-2}{4 x+\log (4)}\right)","-4 \left(2 x-\frac{5}{x}+e^4\right)-\frac{2 x+2}{-2 x-\log (2)}+4",1,"-2*(-10/x + 4*x + (-2 + Log[2])/(4*x + Log[4]))","A",1
5922,1,13,15,0.0192561,"\int \frac{-7+e^{e^x} \left(-2+2 e^x x\right)}{x^2} \, dx","Integrate[(-7 + E^E^x*(-2 + 2*E^x*x))/x^2,x]","\frac{2 e^{e^x}+7}{x}","\frac{2 \left(e^{e^x}+3\right)+1}{x}",1,"(7 + 2*E^E^x)/x","A",1
5923,1,56,35,0.5781395,"\int \frac{-5 e^{5 x}-25 e^{4 x} x-50 e^{3 x} x^2-50 e^{2 x} x^3-25 e^x x^4-5 x^5+\exp \left(\frac{5 e^{4 x}+20 e^{3 x} x+20 e^x x^3+5 x^4+e^{2 x} \left(-1+x+30 x^2\right)}{5 e^{4 x}+20 e^{3 x} x+30 e^{2 x} x^2+20 e^x x^3+5 x^4}\right) \left(e^{3 x} (3-2 x)+e^{2 x} \left(4-5 x+2 x^2\right)\right)}{5 e^{5 x}+25 e^{4 x} x+50 e^{3 x} x^2+50 e^{2 x} x^3+25 e^x x^4+5 x^5} \, dx","Integrate[(-5*E^(5*x) - 25*E^(4*x)*x - 50*E^(3*x)*x^2 - 50*E^(2*x)*x^3 - 25*E^x*x^4 - 5*x^5 + E^((5*E^(4*x) + 20*E^(3*x)*x + 20*E^x*x^3 + 5*x^4 + E^(2*x)*(-1 + x + 30*x^2))/(5*E^(4*x) + 20*E^(3*x)*x + 30*E^(2*x)*x^2 + 20*E^x*x^3 + 5*x^4))*(E^(3*x)*(3 - 2*x) + E^(2*x)*(4 - 5*x + 2*x^2)))/(5*E^(5*x) + 25*E^(4*x)*x + 50*E^(3*x)*x^2 + 50*E^(2*x)*x^3 + 25*E^x*x^4 + 5*x^5),x]","\frac{1}{5} \left(5 \exp \left(\frac{1}{5} \left(\frac{(x-1) x^2}{\left(x+e^x\right)^4}-\frac{2 (x-1) x}{\left(x+e^x\right)^3}+\frac{x-1}{\left(x+e^x\right)^2}+5\right)\right)-5 x\right)","e^{\frac{e^{2 x} \left(x^2-x\right)}{5 x \left(x+e^x\right)^4}+1}-x+5",1,"(5*E^((5 + ((-1 + x)*x^2)/(E^x + x)^4 - (2*(-1 + x)*x)/(E^x + x)^3 + (-1 + x)/(E^x + x)^2)/5) - 5*x)/5","A",1
5924,1,32,29,0.12616,"\int \frac{e^{\frac{46+2 x+(8+x) \log (2)}{23+x+4 \log (2)}} \left(-23 \log (2)-4 \log ^2(2)\right)}{529+46 x+x^2+(184+8 x) \log (2)+16 \log ^2(2)} \, dx","Integrate[(E^((46 + 2*x + (8 + x)*Log[2])/(23 + x + 4*Log[2]))*(-23*Log[2] - 4*Log[2]^2))/(529 + 46*x + x^2 + (184 + 8*x)*Log[2] + 16*Log[2]^2),x]","-\frac{e^2 \log (2) (23+\log (16)) 2^{\frac{x}{x+23+\log (16)}}}{\log (2) \log (16)+\log (8388608)}","-e^{\frac{x}{\frac{x+23}{\log (2)}+4}+2}-1+e^{e^{e^5}}",1,"-((2^(x/(23 + x + Log[16]))*E^2*Log[2]*(23 + Log[16]))/(Log[2]*Log[16] + Log[8388608]))","A",1
5925,1,21,26,0.0246814,"\int \frac{-4 x^3+4 x^4-x^5+\left(8 x^3-8 x^4+2 x^5\right) \log (x)+(40-40 x) \log ^2(x)}{\left(4 x^2-4 x^3+x^4\right) \log ^2(x)} \, dx","Integrate[(-4*x^3 + 4*x^4 - x^5 + (8*x^3 - 8*x^4 + 2*x^5)*Log[x] + (40 - 40*x)*Log[x]^2)/((4*x^2 - 4*x^3 + x^4)*Log[x]^2),x]","\frac{x^2}{\log (x)}+\frac{10}{x-2}-\frac{10}{x}","-\frac{20}{2 x-x^2}+\frac{x^2}{\log (x)}+e^3+9",1,"10/(-2 + x) - 10/x + x^2/Log[x]","A",1
5926,1,29,30,0.1817343,"\int \frac{e^{-x} \left(3 e^x x^2+e^{e^{e^{\frac{1}{3} e^{\frac{2-x^2}{x}}}}} \left(3 x^2+e^{e^{\frac{1}{3} e^{\frac{2-x^2}{x}}}+\frac{1}{3} e^{\frac{2-x^2}{x}}+\frac{2-x^2}{x}} \left(2+x^2\right)\right)\right)}{3 x^2} \, dx","Integrate[(3*E^x*x^2 + E^E^E^(E^((2 - x^2)/x)/3)*(3*x^2 + E^(E^(E^((2 - x^2)/x)/3) + E^((2 - x^2)/x)/3 + (2 - x^2)/x)*(2 + x^2)))/(3*E^x*x^2),x]","x-e^{e^{e^{\frac{1}{3} e^{\frac{2}{x}-x}}}-x}","x-e^{e^{e^{\frac{1}{3} e^{\frac{2}{x}-x}}}-x}+5",1,"-E^(E^E^(E^(2/x - x)/3) - x) + x","A",1
5927,1,7,13,0.0002564,"\int -\frac{4}{5 x^3} \, dx","Integrate[-4/(5*x^3),x]","\frac{2}{5 x^2}","100-\frac{2}{5} \left(2-\frac{1}{x^2}\right)",1,"2/(5*x^2)","A",1
5928,1,32,27,0.1297823,"\int \frac{\left(3 x+x^2+\frac{1}{2} e^x \left(-3 x-x^2\right)\right) \log ^2\left(3 x+x^2\right)+\exp \left(\frac{-4+(-4-x) \log \left(3 x+x^2\right)}{\log \left(3 x+x^2\right)}\right) \left(12+8 x+\left(-3 x-x^2\right) \log ^2\left(3 x+x^2\right)\right)}{\left(3 x+x^2\right) \log ^2\left(3 x+x^2\right)} \, dx","Integrate[((3*x + x^2 + (E^x*(-3*x - x^2))/2)*Log[3*x + x^2]^2 + E^((-4 + (-4 - x)*Log[3*x + x^2])/Log[3*x + x^2])*(12 + 8*x + (-3*x - x^2)*Log[3*x + x^2]^2))/((3*x + x^2)*Log[3*x + x^2]^2),x]","\frac{1}{2} \left(2 x-e^x+2 e^{-x-\frac{4}{\log (x (x+3))}-4}\right)","x-\frac{e^x}{2}+e^{-x-\frac{4}{\log (x (x+3))}-4}-9",1,"(-E^x + 2*E^(-4 - x - 4/Log[x*(3 + x)]) + 2*x)/2","A",1
5929,1,24,26,0.6806287,"\int e^{-x^2} \left(-4 e^{x^2} x^3+e^{2 e^{-x^2} \left(3 e^{x^2}+x\right)} \left(-2 e^{x^2} x-2 x^2+4 x^4\right)+e^{e^{-x^2} \left(3 e^{x^2}+x\right)} \left(6 e^{x^2} x^2+2 x^3-4 x^5\right)\right) \, dx","Integrate[(-4*E^x^2*x^3 + E^((2*(3*E^x^2 + x))/E^x^2)*(-2*E^x^2*x - 2*x^2 + 4*x^4) + E^((3*E^x^2 + x)/E^x^2)*(6*E^x^2*x^2 + 2*x^3 - 4*x^5))/E^x^2,x]","-\left(e^{e^{-x^2} x+3}-x\right)^2 x^2","6-\left(e^{e^{-x^2} x+3}-x\right)^2 x^2",1,"-((E^(3 + x/E^x^2) - x)^2*x^2)","A",1
5930,1,4,9,0.0000636,"\int 2 e \, dx","Integrate[2*E,x]","2 e x","2 e x-\log (2)",1,"2*E*x","A",1
5931,1,21,21,0.2553503,"\int \frac{e^{9 x} \left(8-72 x+24 x^2-72 x^3+10 x^4-18 x^5\right) \log (27)+\left(16 x^3+8 x^5\right) \log (27)}{e^{18 x}+2 e^{9 x} x+x^2} \, dx","Integrate[(E^(9*x)*(8 - 72*x + 24*x^2 - 72*x^3 + 10*x^4 - 18*x^5)*Log[27] + (16*x^3 + 8*x^5)*Log[27])/(E^(18*x) + 2*E^(9*x)*x + x^2),x]","\frac{2 x \left(x^2+2\right)^2 \log (27)}{x+e^{9 x}}","\frac{2 x \left(x^2+2\right)^2 \log (27)}{x+e^{9 x}}",1,"(2*x*(2 + x^2)^2*Log[27])/(E^(9*x) + x)","A",1
5932,1,27,29,0.5051052,"\int \frac{3 x^3+e^{4+2 x} \left(x-4 x^2\right)+e^x \left(-x^2-2 x^3\right)}{2 e^{20+10 x}+2 e^{5 x} x^5-10 e^{4 x} x^6+20 e^{3 x} x^7-20 e^{2 x} x^8+10 e^x x^9-2 x^{10}+e^{16+8 x} \left(10 e^x x-10 x^2\right)+e^{12+6 x} \left(20 e^{2 x} x^2-40 e^x x^3+20 x^4\right)+e^{8+4 x} \left(20 e^{3 x} x^3-60 e^{2 x} x^4+60 e^x x^5-20 x^6\right)+e^{4+2 x} \left(10 e^{4 x} x^4-40 e^{3 x} x^5+60 e^{2 x} x^6-40 e^x x^7+10 x^8\right)} \, dx","Integrate[(3*x^3 + E^(4 + 2*x)*(x - 4*x^2) + E^x*(-x^2 - 2*x^3))/(2*E^(20 + 10*x) + 2*E^(5*x)*x^5 - 10*E^(4*x)*x^6 + 20*E^(3*x)*x^7 - 20*E^(2*x)*x^8 + 10*E^x*x^9 - 2*x^10 + E^(16 + 8*x)*(10*E^x*x - 10*x^2) + E^(12 + 6*x)*(20*E^(2*x)*x^2 - 40*E^x*x^3 + 20*x^4) + E^(8 + 4*x)*(20*E^(3*x)*x^3 - 60*E^(2*x)*x^4 + 60*E^x*x^5 - 20*x^6) + E^(4 + 2*x)*(10*E^(4*x)*x^4 - 40*E^(3*x)*x^5 + 60*E^(2*x)*x^6 - 40*E^x*x^7 + 10*x^8)),x]","\frac{x^2}{4 \left(-x^2+e^x x+e^{2 x+4}\right)^4}","\frac{1}{4 \left(-x+e^x+\frac{e^{2 x+4}}{x}\right)^4 x^2}+2",1,"x^2/(4*(E^(4 + 2*x) + E^x*x - x^2)^4)","A",1
5933,1,17,23,0.3727791,"\int \frac{e^{e^x+x} \left(e^x (50-50 x)-50 x\right)}{\left(-1+e^{e^x+x} (-50+50 x)\right) \log ^2\left(1+e^{e^x+x} (50-50 x)\right)} \, dx","Integrate[(E^(E^x + x)*(E^x*(50 - 50*x) - 50*x))/((-1 + E^(E^x + x)*(-50 + 50*x))*Log[1 + E^(E^x + x)*(50 - 50*x)]^2),x]","\frac{1}{\log \left(1-50 e^{x+e^x} (x-1)\right)}","\frac{1}{\log \left(1-10 e^{x+e^x} (5-5 (2-x))\right)}",1,"Log[1 - 50*E^(E^x + x)*(-1 + x)]^(-1)","A",1
5934,1,9,20,0.0008777,"\int \frac{1875-74 x^2}{x^2} \, dx","Integrate[(1875 - 74*x^2)/x^2,x]","-74 x-\frac{1875}{x}","x-3 \left(\frac{(5 x-25)^2}{x}+\frac{1}{e^4}\right)+5",1,"-1875/x - 74*x","A",1
5935,1,42,28,0.3365731,"\int \frac{-19073486328125+6866455078125 x^2-1098632812500 x^4+102539062500 x^6-6152343750 x^8+246093750 x^{10}-6562500 x^{12}+112500 x^{14}-1125 x^{16}+5 x^{18}+\exp \left(\frac{3}{610351562500-195312500000 x^2+27343750000 x^4-2187500000 x^6+109375000 x^8-3500000 x^{10}+70000 x^{12}-800 x^{14}+4 x^{16}}\right) \left(30517578125000-10986328125000 x^2+1757812500000 x^4-164062500000 x^6+9843750000 x^8-393750000 x^{10}+10500000 x^{12}-180000 x^{14}+1800 x^{16}-8 x^{18}\right)+\exp \left(\frac{6}{610351562500-195312500000 x^2+27343750000 x^4-2187500000 x^6+109375000 x^8-3500000 x^{10}+70000 x^{12}-800 x^{14}+4 x^{16}}\right) \left(-15258789062500+5493164062404 x^2-878906250000 x^4+82031250000 x^6-4921875000 x^8+196875000 x^{10}-5250000 x^{12}+90000 x^{14}-900 x^{16}+4 x^{18}\right)+\left(-30517578125000+10986328125000 x^2-1757812500000 x^4+164062500000 x^6-9843750000 x^8+393750000 x^{10}-10500000 x^{12}+180000 x^{14}-1800 x^{16}+8 x^{18}+\exp \left(\frac{3}{610351562500-195312500000 x^2+27343750000 x^4-2187500000 x^6+109375000 x^8-3500000 x^{10}+70000 x^{12}-800 x^{14}+4 x^{16}}\right) \left(30517578125000-10986328124904 x^2+1757812500000 x^4-164062500000 x^6+9843750000 x^8-393750000 x^{10}+10500000 x^{12}-180000 x^{14}+1800 x^{16}-8 x^{18}\right)\right) \log (x)+\left(-15258789062500+5493164062500 x^2-878906250000 x^4+82031250000 x^6-4921875000 x^8+196875000 x^{10}-5250000 x^{12}+90000 x^{14}-900 x^{16}+4 x^{18}\right) \log ^2(x)}{-3814697265625+1373291015625 x^2-219726562500 x^4+20507812500 x^6-1230468750 x^8+49218750 x^{10}-1312500 x^{12}+22500 x^{14}-225 x^{16}+x^{18}} \, dx","Integrate[(-19073486328125 + 6866455078125*x^2 - 1098632812500*x^4 + 102539062500*x^6 - 6152343750*x^8 + 246093750*x^10 - 6562500*x^12 + 112500*x^14 - 1125*x^16 + 5*x^18 + E^(3/(610351562500 - 195312500000*x^2 + 27343750000*x^4 - 2187500000*x^6 + 109375000*x^8 - 3500000*x^10 + 70000*x^12 - 800*x^14 + 4*x^16))*(30517578125000 - 10986328125000*x^2 + 1757812500000*x^4 - 164062500000*x^6 + 9843750000*x^8 - 393750000*x^10 + 10500000*x^12 - 180000*x^14 + 1800*x^16 - 8*x^18) + E^(6/(610351562500 - 195312500000*x^2 + 27343750000*x^4 - 2187500000*x^6 + 109375000*x^8 - 3500000*x^10 + 70000*x^12 - 800*x^14 + 4*x^16))*(-15258789062500 + 5493164062404*x^2 - 878906250000*x^4 + 82031250000*x^6 - 4921875000*x^8 + 196875000*x^10 - 5250000*x^12 + 90000*x^14 - 900*x^16 + 4*x^18) + (-30517578125000 + 10986328125000*x^2 - 1757812500000*x^4 + 164062500000*x^6 - 9843750000*x^8 + 393750000*x^10 - 10500000*x^12 + 180000*x^14 - 1800*x^16 + 8*x^18 + E^(3/(610351562500 - 195312500000*x^2 + 27343750000*x^4 - 2187500000*x^6 + 109375000*x^8 - 3500000*x^10 + 70000*x^12 - 800*x^14 + 4*x^16))*(30517578125000 - 10986328124904*x^2 + 1757812500000*x^4 - 164062500000*x^6 + 9843750000*x^8 - 393750000*x^10 + 10500000*x^12 - 180000*x^14 + 1800*x^16 - 8*x^18))*Log[x] + (-15258789062500 + 5493164062500*x^2 - 878906250000*x^4 + 82031250000*x^6 - 4921875000*x^8 + 196875000*x^10 - 5250000*x^12 + 90000*x^14 - 900*x^16 + 4*x^18)*Log[x]^2)/(-3814697265625 + 1373291015625*x^2 - 219726562500*x^4 + 20507812500*x^6 - 1230468750*x^8 + 49218750*x^10 - 1312500*x^12 + 22500*x^14 - 225*x^16 + x^18),x]","x \left(4 e^{\frac{3}{2 \left(x^2-25\right)^8}}-8 e^{\frac{3}{4 \left(x^2-25\right)^8}} \log (x)+4 \log ^2(x)+5\right)","x \left(4 \left(e^{\frac{3}{4 \left(25-x^2\right)^8}}-\log (x)\right)^2+5\right)",1,"x*(5 + 4*E^(3/(2*(-25 + x^2)^8)) - 8*E^(3/(4*(-25 + x^2)^8))*Log[x] + 4*Log[x]^2)","A",1
5936,1,157,28,0.7015429,"\int \frac{-4-1152 x-904 x^2-216 x^3-16 x^4+e^5 \left(-7040 x-5824 x^2-1536 x^3-128 x^4\right)+e^{15} \left(-80352 x-92160 x^2-38976 x^3-7168 x^4-480 x^5\right)+e^{10} \left(-30048 x-30176 x^2-10800 x^3-1600 x^4-80 x^5\right)+e^{25} \left(-230688 x-354240 x^2-216000 x^3-65280 x^4-9760 x^5-576 x^6\right)+e^{20} \left(-163080 x-219888 x^2-115056 x^3-28864 x^4-3400 x^5-144 x^6\right)+e^{35} \left(-163296 x-326592 x^2-272160 x^3-120960 x^4-30240 x^5-4032 x^6-224 x^7\right)+e^{30} \left(-244944 x-435456 x^2-317520 x^3-120960 x^4-25200 x^5-2688 x^6-112 x^7\right)+e^{40} \left(-69984 x-163296 x^2-163296 x^3-90720 x^4-30240 x^5-6048 x^6-672 x^7-32 x^8\right)}{63001 x+144576 x^2+139670 x^3+74124 x^4+23639 x^5+4644 x^6+550 x^7+36 x^8+x^9+e^5 \left(771072 x+1768256 x^2+1726352 x^3+936640 x^4+308704 x^5+63264 x^6+7872 x^7+544 x^8+16 x^9\right)+e^{10} \left(5250816 x+12495504 x^2+12856232 x^3+7485320 x^4+2708144 x^5+628352 x^6+92880 x^7+8352 x^8+408 x^9+8 x^{10}\right)+e^{15} \left(24634368 x+61398864 x^2+66894336 x^3+41757840 x^4+16432544 x^5+4219552 x^6+705472 x^7+73872 x^8+4384 x^9+112 x^{10}\right)+e^{20} \left(88006176 x+231559020 x^2+268957044 x^3+181099452 x^4+78004732 x^5+22350752 x^6+4285848 x^7+537772 x^8+41596 x^9+1740 x^{10}+28 x^{11}\right)+e^{25} \left(250511616 x+697894704 x^2+865077840 x^3+627485328 x^4+294493200 x^5+93268000 x^6+20140928 x^7+2920080 x^8+271056 x^9+14480 x^{10}+336 x^{11}\right)+e^{30} \left(584961264 x+1729205496 x^2+2290471344 x^3+1790543232 x^4+915313392 x^5+320091912 x^6+77750400 x^7+13024328 x^8+1458624 x^9+102144 x^{10}+3888 x^{11}+56 x^{12}\right)+e^{35} \left(1137484944 x+3569522256 x^2+5049648864 x^3+4246618752 x^4+2356128432 x^5+904257648 x^6+244526352 x^7+46486928 x^8+6071424 x^9+516864 x^{10}+25680 x^{11}+560 x^{12}\right)+e^{40} \left(1859269302 x+6195088656 x^2+9357185934 x^3+8457998940 x^4+5085305874 x^5+2136903552 x^6+641272212 x^7+137808408 x^8+20901410 x^9+2158608 x^{10}+141486 x^{11}+5100 x^{12}+70 x^{13}\right)+e^{45} \left(2559734784 x+9051030720 x^2+14579591760 x^3+14137467840 x^4+9183475440 x^5+4205851776 x^6+1390828320 x^7+334108800 x^8+57754080 x^9+6988480 x^{10}+560016 x^{11}+26560 x^{12}+560 x^{13}\right)+e^{50} \left(2962842624 x+11112864336 x^2+19076921064 x^3+19822775544 x^4+13890511800 x^5+6918985656 x^6+2514459024 x^7+672897456 x^8+132024816 x^9+18638400 x^{10}+1822216 x^{11}+114904 x^{12}+4056 x^{13}+56 x^{14}\right)+e^{55} \left(2857026816 x+11357248464 x^2+20751235776 x^3+23064696864 x^4+17390324160 x^5+9386848944 x^6+3729027456 x^7+1102901184 x^8+242580096 x^9+39132720 x^{10}+4492224 x^{11}+346656 x^{12}+16064 x^{13}+336 x^{14}\right)+e^{60} \left(2261812896 x+9525548484 x^2+18514695852 x^3+21996618552 x^4+17828546472 x^5+10416007404 x^6+4516653636 x^7+1473828048 x^8+362715408 x^9+66754908 x^{10}+8996724 x^{11}+854136 x^{12}+53288 x^{13}+1908 x^{14}+28 x^{15}\right)+e^{65} \left(1428513408 x+6368788944 x^2+13154227632 x^3+16679216736 x^4+14501174688 x^5+9142044912 x^6+4308320016 x^7+1541187648 x^8+420323904 x^9+86918832 x^{10}+13405392 x^{11}+1493856 x^{12}+113568 x^{13}+5264 x^{14}+112 x^{15}\right)+e^{70} \left(688747536 x+3252418920 x^2+7142567040 x^3+9672226200 x^4+9027411120 x^5+6147237096 x^6+3152429280 x^7+1238454360 x^8+375289200 x^9+87567480 x^{10}+15567552 x^{11}+2063880 x^{12}+196560 x^{13}+12600 x^{14}+480 x^{15}+8 x^{16}\right)+e^{75} \left(229582512 x+1147912560 x^2+2678462640 x^3+3868890480 x^4+3868890480 x^5+2837186352 x^6+1576214640 x^7+675520560 x^8+225173520 x^9+58378320 x^{10}+11675664 x^{11}+1769040 x^{12}+196560 x^{13}+15120 x^{14}+720 x^{15}+16 x^{16}\right)+e^{80} \left(43046721 x+229582512 x^2+573956280 x^3+892820880 x^4+967222620 x^5+773778096 x^6+472864392 x^7+225173520 x^8+84440070 x^9+25019280 x^{10}+5837832 x^{11}+1061424 x^{12}+147420 x^{13}+15120 x^{14}+1080 x^{15}+48 x^{16}+x^{17}\right)+\left(502 x+576 x^2+226 x^3+36 x^4+2 x^5+e^5 \left(3072 x+3520 x^2+1456 x^3+256 x^4+16 x^5\right)+e^{10} \left(11520 x+15024 x^2+7544 x^3+1800 x^4+200 x^5+8 x^6\right)+e^{15} \left(27648 x+40176 x^2+23040 x^3+6496 x^4+896 x^5+48 x^6\right)+e^{20} \left(49248 x+81540 x^2+54972 x^3+19176 x^4+3608 x^5+340 x^6+12 x^7\right)+e^{25} \left(62208 x+115344 x^2+88560 x^3+36000 x^4+8160 x^5+976 x^6+48 x^7\right)+e^{30} \left(58320 x+122472 x^2+108864 x^3+52920 x^4+15120 x^5+2520 x^6+224 x^7+8 x^8\right)+e^{35} \left(34992 x+81648 x^2+81648 x^3+45360 x^4+15120 x^5+3024 x^6+336 x^7+16 x^8\right)+e^{40} \left(13122 x+34992 x^2+40824 x^3+27216 x^4+11340 x^5+3024 x^6+504 x^7+48 x^8+2 x^9\right)\right) \log (x)+x \log ^2(x)} \, dx","Integrate[(-4 - 1152*x - 904*x^2 - 216*x^3 - 16*x^4 + E^5*(-7040*x - 5824*x^2 - 1536*x^3 - 128*x^4) + E^15*(-80352*x - 92160*x^2 - 38976*x^3 - 7168*x^4 - 480*x^5) + E^10*(-30048*x - 30176*x^2 - 10800*x^3 - 1600*x^4 - 80*x^5) + E^25*(-230688*x - 354240*x^2 - 216000*x^3 - 65280*x^4 - 9760*x^5 - 576*x^6) + E^20*(-163080*x - 219888*x^2 - 115056*x^3 - 28864*x^4 - 3400*x^5 - 144*x^6) + E^35*(-163296*x - 326592*x^2 - 272160*x^3 - 120960*x^4 - 30240*x^5 - 4032*x^6 - 224*x^7) + E^30*(-244944*x - 435456*x^2 - 317520*x^3 - 120960*x^4 - 25200*x^5 - 2688*x^6 - 112*x^7) + E^40*(-69984*x - 163296*x^2 - 163296*x^3 - 90720*x^4 - 30240*x^5 - 6048*x^6 - 672*x^7 - 32*x^8))/(63001*x + 144576*x^2 + 139670*x^3 + 74124*x^4 + 23639*x^5 + 4644*x^6 + 550*x^7 + 36*x^8 + x^9 + E^5*(771072*x + 1768256*x^2 + 1726352*x^3 + 936640*x^4 + 308704*x^5 + 63264*x^6 + 7872*x^7 + 544*x^8 + 16*x^9) + E^10*(5250816*x + 12495504*x^2 + 12856232*x^3 + 7485320*x^4 + 2708144*x^5 + 628352*x^6 + 92880*x^7 + 8352*x^8 + 408*x^9 + 8*x^10) + E^15*(24634368*x + 61398864*x^2 + 66894336*x^3 + 41757840*x^4 + 16432544*x^5 + 4219552*x^6 + 705472*x^7 + 73872*x^8 + 4384*x^9 + 112*x^10) + E^20*(88006176*x + 231559020*x^2 + 268957044*x^3 + 181099452*x^4 + 78004732*x^5 + 22350752*x^6 + 4285848*x^7 + 537772*x^8 + 41596*x^9 + 1740*x^10 + 28*x^11) + E^25*(250511616*x + 697894704*x^2 + 865077840*x^3 + 627485328*x^4 + 294493200*x^5 + 93268000*x^6 + 20140928*x^7 + 2920080*x^8 + 271056*x^9 + 14480*x^10 + 336*x^11) + E^30*(584961264*x + 1729205496*x^2 + 2290471344*x^3 + 1790543232*x^4 + 915313392*x^5 + 320091912*x^6 + 77750400*x^7 + 13024328*x^8 + 1458624*x^9 + 102144*x^10 + 3888*x^11 + 56*x^12) + E^35*(1137484944*x + 3569522256*x^2 + 5049648864*x^3 + 4246618752*x^4 + 2356128432*x^5 + 904257648*x^6 + 244526352*x^7 + 46486928*x^8 + 6071424*x^9 + 516864*x^10 + 25680*x^11 + 560*x^12) + E^40*(1859269302*x + 6195088656*x^2 + 9357185934*x^3 + 8457998940*x^4 + 5085305874*x^5 + 2136903552*x^6 + 641272212*x^7 + 137808408*x^8 + 20901410*x^9 + 2158608*x^10 + 141486*x^11 + 5100*x^12 + 70*x^13) + E^45*(2559734784*x + 9051030720*x^2 + 14579591760*x^3 + 14137467840*x^4 + 9183475440*x^5 + 4205851776*x^6 + 1390828320*x^7 + 334108800*x^8 + 57754080*x^9 + 6988480*x^10 + 560016*x^11 + 26560*x^12 + 560*x^13) + E^50*(2962842624*x + 11112864336*x^2 + 19076921064*x^3 + 19822775544*x^4 + 13890511800*x^5 + 6918985656*x^6 + 2514459024*x^7 + 672897456*x^8 + 132024816*x^9 + 18638400*x^10 + 1822216*x^11 + 114904*x^12 + 4056*x^13 + 56*x^14) + E^55*(2857026816*x + 11357248464*x^2 + 20751235776*x^3 + 23064696864*x^4 + 17390324160*x^5 + 9386848944*x^6 + 3729027456*x^7 + 1102901184*x^8 + 242580096*x^9 + 39132720*x^10 + 4492224*x^11 + 346656*x^12 + 16064*x^13 + 336*x^14) + E^60*(2261812896*x + 9525548484*x^2 + 18514695852*x^3 + 21996618552*x^4 + 17828546472*x^5 + 10416007404*x^6 + 4516653636*x^7 + 1473828048*x^8 + 362715408*x^9 + 66754908*x^10 + 8996724*x^11 + 854136*x^12 + 53288*x^13 + 1908*x^14 + 28*x^15) + E^65*(1428513408*x + 6368788944*x^2 + 13154227632*x^3 + 16679216736*x^4 + 14501174688*x^5 + 9142044912*x^6 + 4308320016*x^7 + 1541187648*x^8 + 420323904*x^9 + 86918832*x^10 + 13405392*x^11 + 1493856*x^12 + 113568*x^13 + 5264*x^14 + 112*x^15) + E^70*(688747536*x + 3252418920*x^2 + 7142567040*x^3 + 9672226200*x^4 + 9027411120*x^5 + 6147237096*x^6 + 3152429280*x^7 + 1238454360*x^8 + 375289200*x^9 + 87567480*x^10 + 15567552*x^11 + 2063880*x^12 + 196560*x^13 + 12600*x^14 + 480*x^15 + 8*x^16) + E^75*(229582512*x + 1147912560*x^2 + 2678462640*x^3 + 3868890480*x^4 + 3868890480*x^5 + 2837186352*x^6 + 1576214640*x^7 + 675520560*x^8 + 225173520*x^9 + 58378320*x^10 + 11675664*x^11 + 1769040*x^12 + 196560*x^13 + 15120*x^14 + 720*x^15 + 16*x^16) + E^80*(43046721*x + 229582512*x^2 + 573956280*x^3 + 892820880*x^4 + 967222620*x^5 + 773778096*x^6 + 472864392*x^7 + 225173520*x^8 + 84440070*x^9 + 25019280*x^10 + 5837832*x^11 + 1061424*x^12 + 147420*x^13 + 15120*x^14 + 1080*x^15 + 48*x^16 + x^17) + (502*x + 576*x^2 + 226*x^3 + 36*x^4 + 2*x^5 + E^5*(3072*x + 3520*x^2 + 1456*x^3 + 256*x^4 + 16*x^5) + E^10*(11520*x + 15024*x^2 + 7544*x^3 + 1800*x^4 + 200*x^5 + 8*x^6) + E^15*(27648*x + 40176*x^2 + 23040*x^3 + 6496*x^4 + 896*x^5 + 48*x^6) + E^20*(49248*x + 81540*x^2 + 54972*x^3 + 19176*x^4 + 3608*x^5 + 340*x^6 + 12*x^7) + E^25*(62208*x + 115344*x^2 + 88560*x^3 + 36000*x^4 + 8160*x^5 + 976*x^6 + 48*x^7) + E^30*(58320*x + 122472*x^2 + 108864*x^3 + 52920*x^4 + 15120*x^5 + 2520*x^6 + 224*x^7 + 8*x^8) + E^35*(34992*x + 81648*x^2 + 81648*x^3 + 45360*x^4 + 15120*x^5 + 3024*x^6 + 336*x^7 + 16*x^8) + E^40*(13122*x + 34992*x^2 + 40824*x^3 + 27216*x^4 + 11340*x^5 + 3024*x^6 + 504*x^7 + 48*x^8 + 2*x^9))*Log[x] + x*Log[x]^2),x]","\frac{4}{x^4+18 x^3+2 e^{20} \left(3 x^2+49 x+152\right) (x+3)^4+8 e^{15} \left(3 x^2+29 x+64\right) (x+3)^3+113 x^2+4 e^{10} \left(x^3+19 x^2+102 x+160\right) (x+3)^2+8 e^5 \left(x^4+16 x^3+91 x^2+220 x+192\right)+e^{40} (x+3)^8+8 e^{35} (x+3)^7+4 e^{30} (x+10) (x+3)^6+8 e^{25} (3 x+16) (x+3)^5+288 x+\log (x)+251}","\frac{4}{\left(\left(\left(e^5 (x+3)+1\right)^2+x+3\right)^2+x\right)^2+\log (x)-5}",1,"4/(251 + 288*x + 113*x^2 + 18*x^3 + x^4 + 8*E^35*(3 + x)^7 + E^40*(3 + x)^8 + 4*E^30*(3 + x)^6*(10 + x) + 8*E^25*(3 + x)^5*(16 + 3*x) + 8*E^15*(3 + x)^3*(64 + 29*x + 3*x^2) + 2*E^20*(3 + x)^4*(152 + 49*x + 3*x^2) + 4*E^10*(3 + x)^2*(160 + 102*x + 19*x^2 + x^3) + 8*E^5*(192 + 220*x + 91*x^2 + 16*x^3 + x^4) + Log[x])","B",1
5937,1,13,13,0.0036462,"\int -\frac{44}{25} e^{\frac{1}{5} (10-11 x)} \, dx","Integrate[(-44*E^((10 - 11*x)/5))/25,x]","\frac{4}{5} e^{2-\frac{11 x}{5}}","\frac{4}{5} e^{2-\frac{11 x}{5}}",1,"(4*E^(2 - (11*x)/5))/5","A",1
5938,1,45,21,0.928001,"\int \frac{-9 e^{\frac{9}{\log (3 x+x \log (16))}}+3 x \log ^2(3 x+x \log (16))}{e^{\frac{9}{\log (3 x+x \log (16))}} x \log ^2(3 x+x \log (16))+\left(10 x+3 x^2\right) \log ^2(3 x+x \log (16))} \, dx","Integrate[(-9*E^(9/Log[3*x + x*Log[16]]) + 3*x*Log[3*x + x*Log[16]]^2)/(E^(9/Log[3*x + x*Log[16]])*x*Log[3*x + x*Log[16]]^2 + (10*x + 3*x^2)*Log[3*x + x*Log[16]]^2),x]","\log \left(3 x (3+\log (16))+3 e^{\frac{9}{\log (x (3+\log (16)))}}+\log (16) e^{\frac{9}{\log (x (3+\log (16)))}}+30+10 \log (16)\right)","\log \left(3 x+e^{\frac{9}{\log (3 x+x \log (16))}}+10\right)",1,"Log[30 + 3*E^(9/Log[x*(3 + Log[16])]) + 10*Log[16] + E^(9/Log[x*(3 + Log[16])])*Log[16] + 3*x*(3 + Log[16])]","B",1
5939,1,71,16,2.0743144,"\int \frac{1}{5} e^{\frac{1}{5} \left(e^x \log (4)+(-2+2 x) \log (4)\right)} x^{-1+e^{\frac{1}{5} \left(e^x \log (4)+(-2+2 x) \log (4)\right)}} \left(5+\left(2 x \log (4)+e^x x \log (4)\right) \log (x)\right) \, dx","Integrate[(E^((E^x*Log[4] + (-2 + 2*x)*Log[4])/5)*x^(-1 + E^((E^x*Log[4] + (-2 + 2*x)*Log[4])/5))*(5 + (2*x*Log[4] + E^x*x*Log[4])*Log[x]))/5,x]","\frac{1}{5} \int e^{\frac{1}{5} \left((2 x-2) \log (4)+e^x \log (4)\right)} x^{e^{\frac{1}{5} \left((2 x-2) \log (4)+e^x \log (4)\right)}-1} \left(\left(e^x x \log (4)+2 x \log (4)\right) \log (x)+5\right) \, dx","x^{2^{\frac{2}{5} \left(2 x+e^x-2\right)}}",1,"Integrate[E^((E^x*Log[4] + (-2 + 2*x)*Log[4])/5)*x^(-1 + E^((E^x*Log[4] + (-2 + 2*x)*Log[4])/5))*(5 + (2*x*Log[4] + E^x*x*Log[4])*Log[x]), x]/5","F",1
5940,1,42,28,0.8693982,"\int \frac{6 e^{8 e^{1171875/x}} x+6 x^3+e^{4 e^{1171875/x}} \left(-9375000 e^{1171875/x}-2 x+12 x^2\right)+\left(6 e^{8 e^{1171875/x}} x-2 x^2+6 x^3+e^{4 e^{1171875/x}} \left(-2 x+12 x^2\right)\right) \log \left(\frac{x-3 e^{4 e^{1171875/x}} x-3 x^2}{3 e^{4 e^{1171875/x}}+3 x}\right)}{3 e^{8 e^{1171875/x}} x-x^2+3 x^3+e^{4 e^{1171875/x}} \left(-x+6 x^2\right)} \, dx","Integrate[(6*E^(8*E^(1171875/x))*x + 6*x^3 + E^(4*E^(1171875/x))*(-9375000*E^(1171875/x) - 2*x + 12*x^2) + (6*E^(8*E^(1171875/x))*x - 2*x^2 + 6*x^3 + E^(4*E^(1171875/x))*(-2*x + 12*x^2))*Log[(x - 3*E^(4*E^(1171875/x))*x - 3*x^2)/(3*E^(4*E^(1171875/x)) + 3*x)])/(3*E^(8*E^(1171875/x))*x - x^2 + 3*x^3 + E^(4*E^(1171875/x))*(-x + 6*x^2)),x]","2 x \log \left(-\frac{x \left(3 x+3 e^{4 e^{1171875/x}}-1\right)}{3 \left(x+e^{4 e^{1171875/x}}\right)}\right)","2 x \log \left(\frac{x}{3 \left(x+e^{4 e^{1171875/x}}\right)}-x\right)",1,"2*x*Log[-1/3*(x*(-1 + 3*E^(4*E^(1171875/x)) + 3*x))/(E^(4*E^(1171875/x)) + x)]","A",1
5941,1,28,24,0.2905745,"\int e^{-2 e^x} \left(e^{2 e^x+2 x+x^2} (40+40 x)+e^{2 x+x^2} \left(4 x+4 x^2-4 e^x x^2+4 x^3\right)\right) \, dx","Integrate[(E^(2*E^x + 2*x + x^2)*(40 + 40*x) + E^(2*x + x^2)*(4*x + 4*x^2 - 4*E^x*x^2 + 4*x^3))/E^(2*E^x),x]","2 e^{x (x+2)-2 e^x} \left(x^2+10 e^{2 e^x}\right)","2 e^{x^2+2 x} \left(e^{-2 e^x} x^2+10\right)",1,"2*E^(-2*E^x + x*(2 + x))*(10*E^(2*E^x) + x^2)","A",1
5942,1,51,31,0.2708363,"\int \frac{-8 x+8 x^2+\left(8 x-16 x^2\right) \log (x)+\frac{e^{-3+x^2} \left(-2 x+2 x^2+\left(6 x-4 x^2-8 x^3\right) \log (x)\right)}{x}+\left(16 x-16 x \log (x)+\frac{e^{-3+x^2} \left(4 x+\left(4-4 x-8 x^2\right) \log (x)\right)}{x}\right) \log \left(4 \log (5)+\frac{e^{-3+x^2} \log (5)}{x}\right)+\left(8+\frac{2 e^{-3+x^2}}{x}\right) \log ^2\left(4 \log (5)+\frac{e^{-3+x^2} \log (5)}{x}\right)}{e^{-3+x^2} \log ^2(x)+4 x \log ^2(x)} \, dx","Integrate[(-8*x + 8*x^2 + (8*x - 16*x^2)*Log[x] + (E^(-3 + x^2)*(-2*x + 2*x^2 + (6*x - 4*x^2 - 8*x^3)*Log[x]))/x + (16*x - 16*x*Log[x] + (E^(-3 + x^2)*(4*x + (4 - 4*x - 8*x^2)*Log[x]))/x)*Log[4*Log[5] + (E^(-3 + x^2)*Log[5])/x] + (8 + (2*E^(-3 + x^2))/x)*Log[4*Log[5] + (E^(-3 + x^2)*Log[5])/x]^2)/(E^(-3 + x^2)*Log[x]^2 + 4*x*Log[x]^2),x]","-\frac{2 \left(\log ^2\left(\left(\frac{e^{x^2-3}}{x}+4\right) \log (5)\right)+2 x \log \left(\left(\frac{e^{x^2-3}}{x}+4\right) \log (5)\right)+(x-1) x\right)}{\log (x)}","\frac{2 \left(x-\left(\log \left(\left(\frac{e^{x^2-3}}{x}+4\right) \log (5)\right)+x\right)^2\right)}{\log (x)}",1,"(-2*((-1 + x)*x + 2*x*Log[(4 + E^(-3 + x^2)/x)*Log[5]] + Log[(4 + E^(-3 + x^2)/x)*Log[5]]^2))/Log[x]","A",1
5943,1,25,25,0.0211359,"\int \frac{-10 x^2+\left(10 \log (x)-10 \log ^2(x)\right) \log \left(\frac{x^2}{16}\right)}{3 x^3 \log \left(\frac{x^2}{16}\right)} \, dx","Integrate[(-10*x^2 + (10*Log[x] - 10*Log[x]^2)*Log[x^2/16])/(3*x^3*Log[x^2/16]),x]","\frac{5 \log ^2(x)}{3 x^2}-\frac{5}{3} \log \left(\log \left(\frac{x^2}{16}\right)\right)","\frac{5}{3} \left(\frac{\log ^2(x)}{x^2}-\log \left(\log \left(\frac{x^2}{16}\right)\right)+15\right)",1,"(5*Log[x]^2)/(3*x^2) - (5*Log[Log[x^2/16]])/3","A",1
5944,1,25,27,0.1098802,"\int \frac{x-2 x^2+e^{2 e+2 e^5} \left(24-28 x+8 x^2\right)+\left(x-4 e^{2 e+2 e^5} x\right) \log (x)}{x} \, dx","Integrate[(x - 2*x^2 + E^(2*E + 2*E^5)*(24 - 28*x + 8*x^2) + (x - 4*E^(2*E + 2*E^5)*x)*Log[x])/x,x]","\left(4 e^{2 \left(e+e^5\right)} (x-6)-x\right) (x-\log (x))","\left(4 e^{2 e+2 e^5} (6-x)+x\right) (\log (x)-x)",1,"(4*E^(2*(E + E^5))*(-6 + x) - x)*(x - Log[x])","A",1
5945,1,11,11,0.0049907,"\int \frac{24 e^{-\frac{8}{x^3 \log (3)}}}{x^4 \log (3)} \, dx","Integrate[24/(E^(8/(x^3*Log[3]))*x^4*Log[3]),x]","e^{-\frac{8}{x^3 \log (3)}}","e^{-\frac{8}{x^3 \log (3)}}",1,"E^(-8/(x^3*Log[3]))","A",1
5946,1,27,25,0.6375089,"\int \frac{e^x (-2-2 x)-x-2 x^2-x^3-e^x x^2 \log \left(x^2\right)}{45 x+120 x^2+110 x^3+40 x^4+5 x^5+e^x \left(30 x+40 x^2+10 x^3\right) \log \left(x^2\right)+5 e^{2 x} x \log ^2\left(x^2\right)} \, dx","Integrate[(E^x*(-2 - 2*x) - x - 2*x^2 - x^3 - E^x*x^2*Log[x^2])/(45*x + 120*x^2 + 110*x^3 + 40*x^4 + 5*x^5 + E^x*(30*x + 40*x^2 + 10*x^3)*Log[x^2] + 5*E^(2*x)*x*Log[x^2]^2),x]","-\frac{-x-1}{5 \left(x^2+e^x \log \left(x^2\right)+4 x+3\right)}","\frac{1}{5 \left(\frac{e^x x \log \left(x^2\right)}{x^2+x}+x+3\right)}",1,"-1/5*(-1 - x)/(3 + 4*x + x^2 + E^x*Log[x^2])","A",1
5947,1,44,33,0.1392015,"\int \frac{e^{2 x} \left(e^4 (48-96 x)-168 x+168 x^2+e^{\frac{1}{3} (2-2 x)} (-48+128 x)\right)}{48 e^8 x^2+48 e^{\frac{2}{3} (2-2 x)} x^2-168 e^4 x^3+147 x^4+e^{\frac{1}{3} (2-2 x)} \left(-96 e^4 x^2+168 x^3\right)} \, dx","Integrate[(E^(2*x)*(E^4*(48 - 96*x) - 168*x + 168*x^2 + E^((2 - 2*x)/3)*(-48 + 128*x)))/(48*E^8*x^2 + 48*E^((2*(2 - 2*x))/3)*x^2 - 168*E^4*x^3 + 147*x^4 + E^((2 - 2*x)/3)*(-96*E^4*x^2 + 168*x^3)),x]","\frac{8 e^{8 x/3}}{14 e^{2 x/3} x^2-8 e^{\frac{2 x}{3}+4} x+8 e^{2/3} x}","\frac{e^{2 x}}{x \left(\frac{7 x}{4}+e^{\frac{2 (1-x)}{3}}-e^4\right)}",1,"(8*E^((8*x)/3))/(8*E^(2/3)*x - 8*E^(4 + (2*x)/3)*x + 14*E^((2*x)/3)*x^2)","A",1
5948,1,17,19,0.032985,"\int \frac{(20+4 x) \log \left(\frac{1}{25} e^{2 x} \left(576+288 x+36 x^2\right)\right)}{4+x} \, dx","Integrate[((20 + 4*x)*Log[(E^(2*x)*(576 + 288*x + 36*x^2))/25])/(4 + x),x]","\log ^2\left(\frac{36}{25} e^{2 x} (x+4)^2\right)","\log ^2\left(\frac{36}{25} e^{2 x} (x+4)^2\right)-3",1,"Log[(36*E^(2*x)*(4 + x)^2)/25]^2","A",1
5949,1,111,28,1.7361347,"\int \frac{4+4 x+\exp \left(\frac{1}{16} \left(-625 e^{12+4 x}+16 x-2500 e^{9+3 x} x-3750 e^{6+2 x} x^2-2500 e^{3+x} x^3-625 x^4+\left(-500 e^{9+3 x}-1500 e^{6+2 x} x-1500 e^{3+x} x^2-500 x^3\right) \log (x)+\left(-150 e^{6+2 x}-300 e^{3+x} x-150 x^2\right) \log ^2(x)+\left(-20 e^{3+x}-20 x\right) \log ^3(x)-\log ^4(x)\right)\right) \left(-4 x+625 e^{12+4 x} x+125 x^3+625 x^4+e^{9+3 x} \left(125+625 x+1875 x^2\right)+e^{6+2 x} \left(375 x+1875 x^2+1875 x^3\right)+e^{3+x} \left(375 x^2+1875 x^3+625 x^4\right)+\left(375 e^{9+3 x} x+75 x^2+375 x^3+e^{6+2 x} \left(75+375 x+750 x^2\right)+e^{3+x} \left(150 x+750 x^2+375 x^3\right)\right) \log (x)+\left(15 x+75 e^{6+2 x} x+75 x^2+e^{3+x} \left(15+75 x+75 x^2\right)\right) \log ^2(x)+\left(1+5 x+5 e^{3+x} x\right) \log ^3(x)\right)}{4 x} \, dx","Integrate[(4 + 4*x + E^((-625*E^(12 + 4*x) + 16*x - 2500*E^(9 + 3*x)*x - 3750*E^(6 + 2*x)*x^2 - 2500*E^(3 + x)*x^3 - 625*x^4 + (-500*E^(9 + 3*x) - 1500*E^(6 + 2*x)*x - 1500*E^(3 + x)*x^2 - 500*x^3)*Log[x] + (-150*E^(6 + 2*x) - 300*E^(3 + x)*x - 150*x^2)*Log[x]^2 + (-20*E^(3 + x) - 20*x)*Log[x]^3 - Log[x]^4)/16)*(-4*x + 625*E^(12 + 4*x)*x + 125*x^3 + 625*x^4 + E^(9 + 3*x)*(125 + 625*x + 1875*x^2) + E^(6 + 2*x)*(375*x + 1875*x^2 + 1875*x^3) + E^(3 + x)*(375*x^2 + 1875*x^3 + 625*x^4) + (375*E^(9 + 3*x)*x + 75*x^2 + 375*x^3 + E^(6 + 2*x)*(75 + 375*x + 750*x^2) + E^(3 + x)*(150*x + 750*x^2 + 375*x^3))*Log[x] + (15*x + 75*E^(6 + 2*x)*x + 75*x^2 + E^(3 + x)*(15 + 75*x + 75*x^2))*Log[x]^2 + (1 + 5*x + 5*E^(3 + x)*x)*Log[x]^3))/(4*x),x]","x^{-\frac{125}{4} \left(x+e^{x+3}\right)^3} \left(-\exp \left(\frac{1}{16} \left(-625 x^4-2500 e^{x+3} x^3-3750 e^{2 x+6} x^2-2500 e^{3 x+9} x+16 x-625 e^{4 (x+3)}-\log ^4(x)-20 \left(x+e^{x+3}\right) \log ^3(x)-150 \left(x+e^{x+3}\right)^2 \log ^2(x)\right)\right)\right)+x+\log (x)","x-e^{x-\frac{1}{16} \left(5 \left(x+e^{x+3}\right)+\log (x)\right)^4}+\log (x)",1,"x - E^((-625*E^(4*(3 + x)) + 16*x - 2500*E^(9 + 3*x)*x - 3750*E^(6 + 2*x)*x^2 - 2500*E^(3 + x)*x^3 - 625*x^4 - 150*(E^(3 + x) + x)^2*Log[x]^2 - 20*(E^(3 + x) + x)*Log[x]^3 - Log[x]^4)/16)/x^((125*(E^(3 + x) + x)^3)/4) + Log[x]","B",1
5950,1,30,32,0.0930221,"\int \frac{50-130 x-25 \log \left(x^2\right)-100 \log ^2\left(x^2\right)}{\left(25-130 x+169 x^2\right) \log ^2\left(x^2\right)} \, dx","Integrate[(50 - 130*x - 25*Log[x^2] - 100*Log[x^2]^2)/((25 - 130*x + 169*x^2)*Log[x^2]^2),x]","-5 \left(-\frac{x}{(13 x-5) \log \left(x^2\right)}-\frac{20}{13 (13 x-5)}\right)","\frac{\frac{x}{\log \left(x^2\right)}+4 x}{x \left(\frac{3 x-5}{5 x}+2\right)}",1,"-5*(-20/(13*(-5 + 13*x)) - x/((-5 + 13*x)*Log[x^2]))","A",1
5951,1,29,30,0.238226,"\int \frac{e^{-\frac{2 \left(e^{9+6 x+x^2}-x\right)}{x \log (\log (x))}} \left(8 e^{17+6 x+x^2}-8 e^8 x+e^{17+6 x+x^2} \left(8-48 x-16 x^2\right) \log (x) \log (\log (x))-8 e^8 x \log (x) \log ^2(\log (x))\right)}{x^4 \log (x) \log ^2(\log (x))} \, dx","Integrate[(8*E^(17 + 6*x + x^2) - 8*E^8*x + E^(17 + 6*x + x^2)*(8 - 48*x - 16*x^2)*Log[x]*Log[Log[x]] - 8*E^8*x*Log[x]*Log[Log[x]]^2)/(E^((2*(E^(9 + 6*x + x^2) - x))/(x*Log[Log[x]]))*x^4*Log[x]*Log[Log[x]]^2),x]","\frac{4 e^{\frac{2-\frac{2 e^{(x+3)^2}}{x}}{\log (\log (x))}+8}}{x^2}","\frac{4 e^{8-\frac{2 \left(e^{(x+3)^2}-x\right)}{x \log (\log (x))}}}{x^2}",1,"(4*E^(8 + (2 - (2*E^(3 + x)^2)/x)/Log[Log[x]]))/x^2","A",1
5952,1,30,28,0.0302289,"\int \frac{8-32 e^{2 x}-32 x+e^x (32+32 x)}{100+e^{16}+4 e^{4 x}-20 x-16 e^{3 x} x+41 x^2-4 x^3+4 x^4+e^8 \left(20-2 x+4 x^2\right)+e^{2 x} \left(40+4 e^8-4 x+24 x^2\right)+e^x \left(-80 x-8 e^8 x+8 x^2-16 x^3\right)} \, dx","Integrate[(8 - 32*E^(2*x) - 32*x + E^x*(32 + 32*x))/(100 + E^16 + 4*E^(4*x) - 20*x - 16*E^(3*x)*x + 41*x^2 - 4*x^3 + 4*x^4 + E^8*(20 - 2*x + 4*x^2) + E^(2*x)*(40 + 4*E^8 - 4*x + 24*x^2) + E^x*(-80*x - 8*E^8*x + 8*x^2 - 16*x^3)),x]","\frac{8}{2 x^2-4 e^x x-x+2 e^{2 x}+e^8+10}","\frac{4}{\left(e^x-x\right)^2+\frac{1}{2} \left(e^8-x\right)+5}+1",1,"8/(10 + E^8 + 2*E^(2*x) - x - 4*E^x*x + 2*x^2)","A",1
5953,1,32,27,0.617095,"\int \frac{-9 e^{15} x+9 e^{30} x+e^{30+\frac{4}{x}+\frac{x}{9}} \left(36+9 x-x^2\right)}{9 x+9 e^{30+\frac{8}{x}+\frac{2 x}{9}} x+e^{15} \left(-18 x+18 x^2\right)+e^{30} \left(9 x-18 x^2+9 x^3\right)+e^{\frac{4}{x}+\frac{x}{9}} \left(-18 e^{15} x+e^{30} \left(18 x-18 x^2\right)\right)} \, dx","Integrate[(-9*E^15*x + 9*E^30*x + E^(30 + 4/x + x/9)*(36 + 9*x - x^2))/(9*x + 9*E^(30 + 8/x + (2*x)/9)*x + E^15*(-18*x + 18*x^2) + E^30*(9*x - 18*x^2 + 9*x^3) + E^(4/x + x/9)*(-18*E^15*x + E^30*(18*x - 18*x^2))),x]","\frac{e^{15} x}{-e^{15} x+e^{\frac{x}{9}+\frac{4}{x}+15}+e^{15}-1}","\frac{x}{-x+e^{\frac{x}{9}+\frac{4}{x}}-\frac{1}{e^{15}}+1}",1,"(E^15*x)/(-1 + E^15 + E^(15 + 4/x + x/9) - E^15*x)","A",1
5954,1,25,27,0.192708,"\int \frac{260+96 e^{2 x}+5 e^{4 x}+2 x-x^2}{256+32 e^{2 x}+e^{4 x}+4 x-x^2} \, dx","Integrate[(260 + 96*E^(2*x) + 5*E^(4*x) + 2*x - x^2)/(256 + 32*E^(2*x) + E^(4*x) + 4*x - x^2),x]","\log \left(-x^2+4 x+32 e^{2 x}+e^{4 x}+256\right)+x","\log \left(e^x \left(\frac{1}{3} \left(-x^2+\left(e^{2 x}+16\right)^2+x\right)+x\right)\right)",1,"x + Log[256 + 32*E^(2*x) + E^(4*x) + 4*x - x^2]","A",1
5955,1,36,23,0.0710539,"\int \frac{e^{-\frac{60+20 x^4-e^x x^4}{2 x^4}} \left(240+4 x^4+4 e^{\frac{60+20 x^4-e^x x^4}{2 x^4}} x^4+e^x x^5+e^{\frac{60+20 x^4-e^x x^4}{4 x^4}} \left(-240-8 x^4-e^x x^5\right)\right)}{2 x^3} \, dx","Integrate[(240 + 4*x^4 + 4*E^((60 + 20*x^4 - E^x*x^4)/(2*x^4))*x^4 + E^x*x^5 + E^((60 + 20*x^4 - E^x*x^4)/(4*x^4))*(-240 - 8*x^4 - E^x*x^5))/(2*E^((60 + 20*x^4 - E^x*x^4)/(2*x^4))*x^3),x]","e^{-\frac{30}{x^4}-10} \left(e^{\frac{e^x}{4}}-e^{\frac{15}{x^4}+5}\right)^2 x^2","\left(x-e^{-\frac{15}{x^4}+\frac{e^x}{4}-5} x\right)^2",1,"E^(-10 - 30/x^4)*(E^(E^x/4) - E^(5 + 15/x^4))^2*x^2","A",1
5956,1,212928,26,175.68965,"\int \frac{\left(8 e^{10} x+4 x^2+14 x^3+16 x^4+8 x^5+e^5 \left(2 x+16 x^2+16 x^3\right)\right) \log \left(\frac{1+e^5 (4-x)+4 x+3 x^2-x^3}{e^5 x+x^2+x^3}\right)+\left(-2 x^2-10 x^3-14 x^4-4 x^5+2 x^6+e^{10} \left(-8 x+2 x^2\right)+e^5 \left(-2 x-16 x^2-12 x^3+4 x^4\right)\right) \log ^2\left(\frac{1+e^5 (4-x)+4 x+3 x^2-x^3}{e^5 x+x^2+x^3}\right)}{e^{10} (-4+x)-x-5 x^2-7 x^3-2 x^4+x^5+e^5 \left(-1-8 x-6 x^2+2 x^3\right)} \, dx","Integrate[((8*E^10*x + 4*x^2 + 14*x^3 + 16*x^4 + 8*x^5 + E^5*(2*x + 16*x^2 + 16*x^3))*Log[(1 + E^5*(4 - x) + 4*x + 3*x^2 - x^3)/(E^5*x + x^2 + x^3)] + (-2*x^2 - 10*x^3 - 14*x^4 - 4*x^5 + 2*x^6 + E^10*(-8*x + 2*x^2) + E^5*(-2*x - 16*x^2 - 12*x^3 + 4*x^4))*Log[(1 + E^5*(4 - x) + 4*x + 3*x^2 - x^3)/(E^5*x + x^2 + x^3)]^2)/(E^10*(-4 + x) - x - 5*x^2 - 7*x^3 - 2*x^4 + x^5 + E^5*(-1 - 8*x - 6*x^2 + 2*x^3)),x]","\text{Result too large to show}","x^2 \log ^2\left(\frac{\frac{1}{x^2+x+e^5}-x+4}{x}\right)",1,"Result too large to show","C",0
5957,1,19,23,0.1199571,"\int \frac{1+2 x+e^{16-8 e^{x^2}+e^{2 x^2}} \left(-x+16 e^{x^2} x^3-4 e^{2 x^2} x^3\right)}{x} \, dx","Integrate[(1 + 2*x + E^(16 - 8*E^x^2 + E^(2*x^2))*(-x + 16*E^x^2*x^3 - 4*E^(2*x^2)*x^3))/x,x]","\log (x)-\left(e^{\left(e^{x^2}-4\right)^2}-2\right) x","-e^{\left(4-e^{x^2}\right)^2} x+2 x+\log (x)+1",1,"-((-2 + E^(-4 + E^x^2)^2)*x) + Log[x]","A",1
5958,0,0,27,0.2675859,"\int \frac{\left(2 e^x x^2+e^{\frac{5 e^{-x}}{x}} (-10-10 x) \log (18)\right) \log \left(\frac{x+e^{\frac{5 e^{-x}}{x}} \log (18)}{\log (18)}\right)+\left(e^x x^2+e^{\frac{5 e^{-x}}{x}+x} x \log (18)\right) \log ^2\left(\frac{x+e^{\frac{5 e^{-x}}{x}} \log (18)}{\log (18)}\right)}{2 e^x x^2+2 e^{\frac{5 e^{-x}}{x}+x} x \log (18)} \, dx","Integrate[((2*E^x*x^2 + E^(5/(E^x*x))*(-10 - 10*x)*Log[18])*Log[(x + E^(5/(E^x*x))*Log[18])/Log[18]] + (E^x*x^2 + E^(5/(E^x*x) + x)*x*Log[18])*Log[(x + E^(5/(E^x*x))*Log[18])/Log[18]]^2)/(2*E^x*x^2 + 2*E^(5/(E^x*x) + x)*x*Log[18]),x]","\int \frac{\left(2 e^x x^2+e^{\frac{5 e^{-x}}{x}} (-10-10 x) \log (18)\right) \log \left(\frac{x+e^{\frac{5 e^{-x}}{x}} \log (18)}{\log (18)}\right)+\left(e^x x^2+e^{\frac{5 e^{-x}}{x}+x} x \log (18)\right) \log ^2\left(\frac{x+e^{\frac{5 e^{-x}}{x}} \log (18)}{\log (18)}\right)}{2 e^x x^2+2 e^{\frac{5 e^{-x}}{x}+x} x \log (18)} \, dx","\frac{1}{2} x \log ^2\left(e^{\frac{5 e^{-x}}{x}}+\frac{x}{\log (18)}\right)",1,"Integrate[((2*E^x*x^2 + E^(5/(E^x*x))*(-10 - 10*x)*Log[18])*Log[(x + E^(5/(E^x*x))*Log[18])/Log[18]] + (E^x*x^2 + E^(5/(E^x*x) + x)*x*Log[18])*Log[(x + E^(5/(E^x*x))*Log[18])/Log[18]]^2)/(2*E^x*x^2 + 2*E^(5/(E^x*x) + x)*x*Log[18]), x]","F",-1
5959,1,22,17,0.0263803,"\int \frac{e^{1-10 x-x^2} \left(2-20 x-14 x^2-2 x^3\right)}{4+4 x+x^2} \, dx","Integrate[(E^(1 - 10*x - x^2)*(2 - 20*x - 14*x^2 - 2*x^3))/(4 + 4*x + x^2),x]","\frac{2 e^{-x^2-10 x+1} x}{2 x+4}","\frac{e^{1-x (x+10)} x}{x+2}",1,"(2*E^(1 - 10*x - x^2)*x)/(4 + 2*x)","A",1
5960,1,29,29,0.3100195,"\int \frac{e^{5+x^2} \left(-3 x^2-4 x^3-4 x^4-4 x^5-4 x^6+6 x^7\right)}{1+4 x+8 x^2+2 x^3-8 x^4-12 x^5+9 x^6} \, dx","Integrate[(E^(5 + x^2)*(-3*x^2 - 4*x^3 - 4*x^4 - 4*x^5 - 4*x^6 + 6*x^7))/(1 + 4*x + 8*x^2 + 2*x^3 - 8*x^4 - 12*x^5 + 9*x^6),x]","-\frac{e^{x^2+5} x^3}{-3 x^3+2 x^2+2 x+1}","\frac{e^{x^2+5} x}{x^2-\left(-x+\frac{1}{x}+1\right)^2+x-3}",1,"-((E^(5 + x^2)*x^3)/(1 + 2*x + 2*x^2 - 3*x^3))","A",1
5961,1,37,25,5.0763909,"\int \frac{e^{\frac{2-\log \left(\frac{(-4+x) \log (4)}{16 x}\right)}{-2+x}} \left(8+4 x-2 x^2+\left(-4 x+x^2\right) \log \left(\frac{(-4+x) \log (4)}{16 x}\right)\right)}{-16 x+20 x^2-8 x^3+x^4} \, dx","Integrate[(E^((2 - Log[((-4 + x)*Log[4])/(16*x)])/(-2 + x))*(8 + 4*x - 2*x^2 + (-4*x + x^2)*Log[((-4 + x)*Log[4])/(16*x)]))/(-16*x + 20*x^2 - 8*x^3 + x^4),x]","e^{\frac{2}{x-2}} \left(\frac{x-4}{x}\right)^{-\frac{1}{x-2}} \left(\frac{16}{\log (4)}\right)^{\frac{1}{x-2}}","e^{\frac{2-\log \left(\frac{(x-4) \log (4)}{16 x}\right)}{x-2}}",1,"(E^(2/(-2 + x))*(16/Log[4])^(-2 + x)^(-1))/((-4 + x)/x)^(-2 + x)^(-1)","A",1
5962,1,18,20,0.0562243,"\int \frac{\left(e^{\frac{3}{4}-\frac{x^2}{e}}\right)^{\frac{1}{x}} \left(-2 x^2-e \log \left(e^{\frac{3}{4}-\frac{x^2}{e}}\right)\right)}{e x^2} \, dx","Integrate[((E^(3/4 - x^2/E))^x^(-1)*(-2*x^2 - E*Log[E^(3/4 - x^2/E)]))/(E*x^2),x]","\left(e^{\frac{3}{4}-\frac{x^2}{e}}\right)^{\frac{1}{x}}","\left(e^{\frac{3}{4}-\frac{x^2}{e}}\right)^{\frac{1}{x}}+5",1,"(E^(3/4 - x^2/E))^x^(-1)","A",1
5963,1,25,23,1.2438889,"\int \exp \left(81+e^{2 x} \left(4+8 e^3+4 e^6\right)+18 x+x^2+4 e^6 x^2+e^3 \left(36 x+4 x^2\right)+e^x \left(36+4 x+8 e^6 x+e^3 (36+12 x)\right)\right) \left(18+e^{2 x} \left(8+16 e^3+8 e^6\right)+2 x+8 e^6 x+e^3 (36+8 x)+e^x \left(40+4 x+e^6 (8+8 x)+e^3 (48+12 x)\right)\right) \, dx","Integrate[E^(81 + E^(2*x)*(4 + 8*E^3 + 4*E^6) + 18*x + x^2 + 4*E^6*x^2 + E^3*(36*x + 4*x^2) + E^x*(36 + 4*x + 8*E^6*x + E^3*(36 + 12*x)))*(18 + E^(2*x)*(8 + 16*E^3 + 8*E^6) + 2*x + 8*E^6*x + E^3*(36 + 8*x) + E^x*(40 + 4*x + E^6*(8 + 8*x) + E^3*(48 + 12*x))),x]","e^{\left(2 e^3 x+x+2 e^x+2 e^{x+3}+9\right)^2}","e^{\left(-x+2 \left(1+e^3\right) \left(x+e^x\right)+9\right)^2}+1",1,"E^(9 + 2*E^x + 2*E^(3 + x) + x + 2*E^3*x)^2","A",1
5964,1,33,28,0.113878,"\int \frac{e \left(-30 x^4-5 x^5\right)+\left(x^3+30 x^5+5 x^6\right) \log ^2(x)+\left(e \left(60 x^2+10 x^3\right)+\left(-x-60 x^3-10 x^4\right) \log ^2(x)\right) \log (2 x)+\left(e (-30-5 x)+\left(30 x+5 x^2\right) \log ^2(x)\right) \log ^2(2 x)+\left(6+x-12 x^2-2 x^3\right) \log ^2(x) \log (6+x)}{\left(30 x^5+5 x^6\right) \log ^2(x)+\left(-60 x^3-10 x^4\right) \log ^2(x) \log (2 x)+\left(30 x+5 x^2\right) \log ^2(x) \log ^2(2 x)} \, dx","Integrate[(E*(-30*x^4 - 5*x^5) + (x^3 + 30*x^5 + 5*x^6)*Log[x]^2 + (E*(60*x^2 + 10*x^3) + (-x - 60*x^3 - 10*x^4)*Log[x]^2)*Log[2*x] + (E*(-30 - 5*x) + (30*x + 5*x^2)*Log[x]^2)*Log[2*x]^2 + (6 + x - 12*x^2 - 2*x^3)*Log[x]^2*Log[6 + x])/((30*x^5 + 5*x^6)*Log[x]^2 + (-60*x^3 - 10*x^4)*Log[x]^2*Log[2*x] + (30*x + 5*x^2)*Log[x]^2*Log[2*x]^2),x]","\frac{1}{5} \left(-\frac{\log (x+6)}{\log (2 x)-x^2}+5 x+\frac{5 e}{\log (x)}\right)","\frac{\log (x+6)}{5 \left(x^2-\log (2 x)\right)}+x+\frac{e}{\log (x)}",1,"(5*x + (5*E)/Log[x] - Log[6 + x]/(-x^2 + Log[2*x]))/5","A",1
5965,1,15,15,0.3475394,"\int \frac{\exp \left(e^{\frac{-x+(4+x) \log (x)}{4+x}}+\frac{-x+(4+x) \log (x)}{4+x}\right) \left(16+4 x+x^2\right)}{16 x+8 x^2+x^3} \, dx","Integrate[(E^(E^((-x + (4 + x)*Log[x])/(4 + x)) + (-x + (4 + x)*Log[x])/(4 + x))*(16 + 4*x + x^2))/(16*x + 8*x^2 + x^3),x]","e^{e^{\frac{4}{x+4}-1} x}","e^{e^{\frac{x}{-x-4}} x}",1,"E^(E^(-1 + 4/(4 + x))*x)","A",1
5966,1,23,25,5.0466171,"\int \frac{e^{4/x} \left(420 x+24 x^2-12 x^3\right) \log \left(\frac{5+x}{x}\right)+\log (x) \left(e^{4/x} \left(-420 x+60 x^2\right)+e^{4/x} \left(-1680+324 x+12 x^2-24 x^3\right) \log \left(\frac{5+x}{x}\right)\right)}{5 x+x^2} \, dx","Integrate[(E^(4/x)*(420*x + 24*x^2 - 12*x^3)*Log[(5 + x)/x] + Log[x]*(E^(4/x)*(-420*x + 60*x^2) + E^(4/x)*(-1680 + 324*x + 12*x^2 - 24*x^3)*Log[(5 + x)/x]))/(5*x + x^2),x]","-12 e^{4/x} (x-7) x \log (x) \log \left(\frac{x+5}{x}\right)","12 e^{4/x} (7-x) x \log \left(\frac{5}{x}+1\right) \log (x)",1,"-12*E^(4/x)*(-7 + x)*x*Log[x]*Log[(5 + x)/x]","A",1
5967,1,26,21,0.0149763,"\int \frac{1}{4} \left(1+2 x+e^x (1+x)+(-4-8 x) \log (9)\right) \, dx","Integrate[(1 + 2*x + E^x*(1 + x) + (-4 - 8*x)*Log[9])/4,x]","\frac{1}{4} \left(x^2-4 x^2 \log (9)+e^x x+x-4 x \log (9)\right)","\frac{1}{4} x \left(x+e^x+1\right)-\left(x^2+x\right) \log (9)",1,"(x + E^x*x + x^2 - 4*x*Log[9] - 4*x^2*Log[9])/4","A",1
5968,1,26,26,0.8826917,"\int \exp \left(-x+\frac{1}{5} e^{-x} \left(1125 x+150 x^2+5 x^3+e^x \left(225 x^3+30 x^4+x^5\right)\right)\right) \left(225-165 x-27 x^2-x^3+e^x \left(135 x^2+24 x^3+x^4\right)\right) \, dx","Integrate[E^(-x + (1125*x + 150*x^2 + 5*x^3 + E^x*(225*x^3 + 30*x^4 + x^5))/(5*E^x))*(225 - 165*x - 27*x^2 - x^3 + E^x*(135*x^2 + 24*x^3 + x^4)),x]","e^{\frac{1}{5} e^{-x} x (x+15)^2 \left(e^x x^2+5\right)}","e^{\left(\frac{x}{5}+\frac{e^{-x}}{x}\right) x^2 (x+15)^2}",1,"E^((x*(15 + x)^2*(5 + E^x*x^2))/(5*E^x))","A",1
5969,1,48,32,0.417684,"\int \frac{-4 x^2+2 x^3+\left(8 x-8 x^2+2 x^3\right) \log (1-x)+\left(-4+6 x-2 x^2\right) \log ^2(1-x)+e^{10-2 e^x} \left(-4 x^2+2 x^3+e^x \left(-4 x^3+4 x^4\right)+\left(4 x-2 x^2+e^x \left(8 x^2-8 x^3\right)\right) \log (1-x)+e^x \left(-4 x+4 x^2\right) \log ^2(1-x)\right)+\left(4 x^2-2 x^3+\left(-4 x+2 x^2\right) \log (1-x)\right) \log \left(x^2\right)}{-x^4+x^5+e^{30-6 e^x} \left(-x+x^2\right)+\left(3 x^3-3 x^4\right) \log \left(x^2\right)+\left(-3 x^2+3 x^3\right) \log ^2\left(x^2\right)+\left(x-x^2\right) \log ^3\left(x^2\right)+e^{20-4 e^x} \left(-3 x^2+3 x^3+\left(3 x-3 x^2\right) \log \left(x^2\right)\right)+e^{10-2 e^x} \left(-3 x^3+3 x^4+\left(6 x^2-6 x^3\right) \log \left(x^2\right)+\left(-3 x+3 x^2\right) \log ^2\left(x^2\right)\right)} \, dx","Integrate[(-4*x^2 + 2*x^3 + (8*x - 8*x^2 + 2*x^3)*Log[1 - x] + (-4 + 6*x - 2*x^2)*Log[1 - x]^2 + E^(10 - 2*E^x)*(-4*x^2 + 2*x^3 + E^x*(-4*x^3 + 4*x^4) + (4*x - 2*x^2 + E^x*(8*x^2 - 8*x^3))*Log[1 - x] + E^x*(-4*x + 4*x^2)*Log[1 - x]^2) + (4*x^2 - 2*x^3 + (-4*x + 2*x^2)*Log[1 - x])*Log[x^2])/(-x^4 + x^5 + E^(30 - 6*E^x)*(-x + x^2) + (3*x^3 - 3*x^4)*Log[x^2] + (-3*x^2 + 3*x^3)*Log[x^2]^2 + (x - x^2)*Log[x^2]^3 + E^(20 - 4*E^x)*(-3*x^2 + 3*x^3 + (3*x - 3*x^2)*Log[x^2]) + E^(10 - 2*E^x)*(-3*x^3 + 3*x^4 + (6*x^2 - 6*x^3)*Log[x^2] + (-3*x + 3*x^2)*Log[x^2]^2)),x]","\frac{e^{4 e^x} (x-\log (1-x))^2}{\left(-e^{2 e^x} \log \left(x^2\right)+e^{2 e^x} x+e^{10}\right)^2}","\frac{(\log (1-x)-x)^2}{\left(-\log \left(x^2\right)+x+e^{10-2 e^x}\right)^2}",1,"(E^(4*E^x)*(x - Log[1 - x])^2)/(E^10 + E^(2*E^x)*x - E^(2*E^x)*Log[x^2])^2","A",1
5970,1,42,26,0.1829461,"\int \frac{\exp \left(\frac{e^{5+4 x} \left(5 x+x^2\right)+e^5 \left(x+6 x^2+6 x^3+x^4\right)}{e^{4 x}+x+x^2}\right) \left(e^{5+8 x} (5+2 x)+e^{5+4 x} \left(1+8 x+10 x^2+4 x^3\right)+e^5 \left(5 x^2+12 x^3+9 x^4+2 x^5\right)\right)}{e^{8 x}+x^2+2 x^3+x^4+e^{4 x} \left(2 x+2 x^2\right)} \, dx","Integrate[(E^((E^(5 + 4*x)*(5*x + x^2) + E^5*(x + 6*x^2 + 6*x^3 + x^4))/(E^(4*x) + x + x^2))*(E^(5 + 8*x)*(5 + 2*x) + E^(5 + 4*x)*(1 + 8*x + 10*x^2 + 4*x^3) + E^5*(5*x^2 + 12*x^3 + 9*x^4 + 2*x^5)))/(E^(8*x) + x^2 + 2*x^3 + x^4 + E^(4*x)*(2*x + 2*x^2)),x]","\exp \left(e^5 x^2+\frac{e^5 x^2+e^5 x}{x^2+x+e^{4 x}}+5 e^5 x\right)","e^{e^5 x \left(\frac{x+1}{x^2+x+e^{4 x}}+x+5\right)}",1,"E^(5*E^5*x + E^5*x^2 + (E^5*x + E^5*x^2)/(E^(4*x) + x + x^2))","A",1
5971,1,89,25,0.1056024,"\int \frac{4-128 x-8 x^2+386 x^3-60 x^4-258 x^5+190 x^6+64 x^7+e^x \left(-128+256 x^2+64 x^3-128 x^4-64 x^5+192 x^6\right)+\left(4 x^2-128 x^3-4 x^4+254 x^5+64 x^6+e^x \left(-128 x^2+128 x^4+192 x^5\right)\right) \log \left(\frac{1}{256} \left(x^2+1024 e^{2 x} x^2-64 x^3+1024 x^4+e^x \left(-64 x^2+2048 x^3\right)\right)\right)}{-x^5+32 e^x x^5+32 x^6} \, dx","Integrate[(4 - 128*x - 8*x^2 + 386*x^3 - 60*x^4 - 258*x^5 + 190*x^6 + 64*x^7 + E^x*(-128 + 256*x^2 + 64*x^3 - 128*x^4 - 64*x^5 + 192*x^6) + (4*x^2 - 128*x^3 - 4*x^4 + 254*x^5 + 64*x^6 + E^x*(-128*x^2 + 128*x^4 + 192*x^5))*Log[(x^2 + 1024*E^(2*x)*x^2 - 64*x^3 + 1024*x^4 + E^x*(-64*x^2 + 2048*x^3))/256])/(-x^5 + 32*E^x*x^5 + 32*x^6),x]","\frac{1}{x^4}+x^2-\frac{2}{x^2}+\log ^2\left(\frac{1}{256} x^2 \left(32 x+32 e^x-1\right)^2\right)+\frac{2 \left(x^3+1\right) \log \left(\frac{1}{256} x^2 \left(32 x+32 e^x-1\right)^2\right)}{x^2}-2 x+\frac{2}{x}-4 \log \left(-32 x-32 e^x+1\right)-4 \log (x)","\left(\frac{1}{x^2}+x+\log \left(\left(\frac{x}{16}-2 x \left(x+e^x\right)\right)^2\right)-1\right)^2",1,"x^(-4) - 2/x^2 + 2/x - 2*x + x^2 - 4*Log[1 - 32*E^x - 32*x] - 4*Log[x] + (2*(1 + x^3)*Log[(x^2*(-1 + 32*E^x + 32*x)^2)/256])/x^2 + Log[(x^2*(-1 + 32*E^x + 32*x)^2)/256]^2","B",1
5972,1,22,29,0.0034731,"\int \frac{-8 x^2+\left(e^5+x^2\right) \log (5)}{8 x^2} \, dx","Integrate[(-8*x^2 + (E^5 + x^2)*Log[5])/(8*x^2),x]","\frac{1}{8} \left(-8 x+x \log (5)-\frac{e^5 \log (5)}{x}\right)","\frac{1}{2} \left(1-\frac{e^5-x^2}{4 x}\right) \log (5)-x-5",1,"(-8*x - (E^5*Log[5])/x + x*Log[5])/8","A",1
5973,1,23,27,0.0214744,"\int \frac{e^{-\frac{2}{3} \left(1-2 x+2 x^2\right)} \left(-12+\left(4 x-8 x^2\right) \log \left(x^2\right)\right)}{3 x \log ^3\left(x^2\right)} \, dx","Integrate[(-12 + (4*x - 8*x^2)*Log[x^2])/(3*E^((2*(1 - 2*x + 2*x^2))/3)*x*Log[x^2]^3),x]","\frac{e^{-\frac{2}{3} \left(2 x^2-2 x+1\right)}}{\log ^2\left(x^2\right)}","\frac{e^{-\frac{2}{3} x \left(\frac{(1-x)^2}{x}+x\right)}}{\log ^2\left(x^2\right)}",1,"1/(E^((2*(1 - 2*x + 2*x^2))/3)*Log[x^2]^2)","A",1
5974,1,4,14,0.0000675,"\int \log (5) \, dx","Integrate[Log[5],x]","x \log (5)","\log (5) \left(x-\frac{1}{\log (\log (2))-3}\right)",1,"x*Log[5]","A",1
5975,1,10,10,0.0000663,"\int 3 e^{6565+e^5} \, dx","Integrate[3*E^(6565 + E^5),x]","3 e^{6565+e^5} x","3 e^{6565+e^5} x",1,"3*E^(6565 + E^5)*x","A",1
5976,1,38,26,0.178696,"\int \frac{-2 x^4+e^{9+x} \left(-2+x+5 x^2-4 x^3-5 e x^3-4 x^4\right)+5 e^{9+x} x^3 \log (x)}{x^3} \, dx","Integrate[(-2*x^4 + E^(9 + x)*(-2 + x + 5*x^2 - 4*x^3 - 5*E*x^3 - 4*x^4) + 5*E^(9 + x)*x^3*Log[x])/x^3,x]","-x^2+e^x \left(\frac{e^9}{x^2}-4 e^9 x-5 e^{10}\right)+5 e^{x+9} \log (x)","e^{x+9} \left(\frac{1}{x^2}+x-5 (x-\log (x)+e)\right)-x^2",1,"-x^2 + E^x*(-5*E^10 + E^9/x^2 - 4*E^9*x) + 5*E^(9 + x)*Log[x]","A",1
5977,1,11,16,0.0033004,"\int \frac{-40+32 x}{-5 x+2 x^2} \, dx","Integrate[(-40 + 32*x)/(-5*x + 2*x^2),x]","8 (\log (5-2 x)+\log (x))","4 \log \left((x (2 x-4)-x)^2\right)",1,"8*(Log[5 - 2*x] + Log[x])","A",1
5978,1,27,28,0.1356088,"\int \frac{5+e^{2-x} \left(2 x^2-2 x^3\right)-10 \log \left(\frac{221}{25}\right)}{10 x^2} \, dx","Integrate[(5 + E^(2 - x)*(2*x^2 - 2*x^3) - 10*Log[221/25])/(10*x^2),x]","\frac{2 e^{2-x} x^2-5+10 \log \left(\frac{221}{25}\right)}{10 x}","\frac{1}{5} e^{2-x} x+\frac{-x-\frac{1}{2}+\log \left(\frac{221}{25}\right)}{x}",1,"(-5 + 2*E^(2 - x)*x^2 + 10*Log[221/25])/(10*x)","A",1
5979,1,21,21,0.3049233,"\int \frac{1}{2} \exp \left(e^{\frac{1}{2} \left(14-2 e^4+2 e^{x^2}-x\right)}+\frac{1}{2} \left(14-2 e^4+2 e^{x^2}-x\right)\right) \left(-1+4 e^{x^2} x\right) \, dx","Integrate[(E^(E^((14 - 2*E^4 + 2*E^x^2 - x)/2) + (14 - 2*E^4 + 2*E^x^2 - x)/2)*(-1 + 4*E^x^2*x))/2,x]","e^{e^{e^{x^2}-\frac{x}{2}-e^4+7}}","e^{e^{e^{x^2}-\frac{x}{2}-e^4+7}}",1,"E^E^(7 - E^4 + E^x^2 - x/2)","A",1
5980,1,33,30,0.0540776,"\int \frac{e^4 \left(44-28 x+111 x^2-90 x^3+e^6 \left(4-12 x+9 x^2\right)\right)}{484 x^2-308 x^3+709 x^4-210 x^5+225 x^6+e^{12} \left(4 x^2-12 x^3+9 x^4\right)+e^6 \left(88 x^2-160 x^3+102 x^4-90 x^5\right)} \, dx","Integrate[(E^4*(44 - 28*x + 111*x^2 - 90*x^3 + E^6*(4 - 12*x + 9*x^2)))/(484*x^2 - 308*x^3 + 709*x^4 - 210*x^5 + 225*x^6 + E^12*(4*x^2 - 12*x^3 + 9*x^4) + E^6*(88*x^2 - 160*x^3 + 102*x^4 - 90*x^5)),x]","\frac{e^4 (3 x-2)}{x \left(15 x^2-7 x+e^6 (2-3 x)+22\right)}","\frac{e^4}{x \left(5 x+\frac{16}{2 x-\frac{4}{3}}-e^6+1\right)}",1,"(E^4*(-2 + 3*x))/(x*(22 + E^6*(2 - 3*x) - 7*x + 15*x^2))","A",1
5981,1,27,28,0.4708975,"\int \frac{4 e^x x+\left(10-2 e^4-2 e^x\right) \log \left(\frac{4 \left(5-e^4-e^x\right)^2}{e^{10}}\right)}{\left(-5 x+e^4 x+e^x x\right) \log \left(\frac{4 \left(5-e^4-e^x\right)^2}{e^{10}}\right)} \, dx","Integrate[(4*E^x*x + (10 - 2*E^4 - 2*E^x)*Log[(4*(5 - E^4 - E^x)^2)/E^10])/((-5*x + E^4*x + E^x*x)*Log[(4*(5 - E^4 - E^x)^2)/E^10]),x]","2 \log \left(-\log \left(\left(e^x-5+e^4\right)^2\right)+10-\log (4)\right)-2 \log (x)","2 \log \left(\frac{3 \log \left(\frac{4 \left(-e^x+5-e^4\right)^2}{e^{10}}\right)}{x}\right)",1,"-2*Log[x] + 2*Log[10 - Log[4] - Log[(-5 + E^4 + E^x)^2]]","A",1
5982,1,66,31,0.2131532,"\int \frac{4 e^{8 x} x+32 e^{7 x} x^2+16 x^5-32 x^6+32 x^7-16 x^8+4 x^9+e^{6 x} \left(-16 x^2+112 x^3\right)+e^{5 x} \left(-10 x+15 x^2-96 x^3+224 x^4\right)+e^{4 x} \left(-20 x^2+72 x^3-240 x^4+280 x^5\right)+e^{3 x} \left(10 x^2-10 x^3+158 x^4-320 x^5+224 x^6\right)+e^{2 x} \left(-12 x^4+192 x^5-240 x^6+112 x^7\right)+e^x \left(-20 x^4-44 x^5+123 x^6-96 x^7+32 x^8\right)}{2 e^{8 x}+16 e^{7 x} x+8 x^4-16 x^5+16 x^6-8 x^7+2 x^8+e^{6 x} \left(-8 x+56 x^2\right)+e^{5 x} \left(-48 x^2+112 x^3\right)+e^{4 x} \left(16 x^2-120 x^3+140 x^4\right)+e^{3 x} \left(64 x^3-160 x^4+112 x^5\right)+e^{2 x} \left(-16 x^3+96 x^4-120 x^5+56 x^6\right)+e^x \left(-32 x^4+64 x^5-48 x^6+16 x^7\right)} \, dx","Integrate[(4*E^(8*x)*x + 32*E^(7*x)*x^2 + 16*x^5 - 32*x^6 + 32*x^7 - 16*x^8 + 4*x^9 + E^(6*x)*(-16*x^2 + 112*x^3) + E^(5*x)*(-10*x + 15*x^2 - 96*x^3 + 224*x^4) + E^(4*x)*(-20*x^2 + 72*x^3 - 240*x^4 + 280*x^5) + E^(3*x)*(10*x^2 - 10*x^3 + 158*x^4 - 320*x^5 + 224*x^6) + E^(2*x)*(-12*x^4 + 192*x^5 - 240*x^6 + 112*x^7) + E^x*(-20*x^4 - 44*x^5 + 123*x^6 - 96*x^7 + 32*x^8))/(2*E^(8*x) + 16*E^(7*x)*x + 8*x^4 - 16*x^5 + 16*x^6 - 8*x^7 + 2*x^8 + E^(6*x)*(-8*x + 56*x^2) + E^(5*x)*(-48*x^2 + 112*x^3) + E^(4*x)*(16*x^2 - 120*x^3 + 140*x^4) + E^(3*x)*(64*x^3 - 160*x^4 + 112*x^5) + E^(2*x)*(-16*x^3 + 96*x^4 - 120*x^5 + 56*x^6) + E^x*(-32*x^4 + 64*x^5 - 48*x^6 + 16*x^7)),x]","\frac{1}{2} x^2 \left(2-\frac{5 e^x}{4 e^x (x-1) x^2+\left(x^2-2 x+2\right) x^2+4 e^{3 x} x+2 e^{2 x} (3 x-1) x+e^{4 x}}\right)","x \left(x-\frac{5 e^x x}{2 \left(x^2+\left(\left(x+e^x\right)^2-x\right)^2\right)}\right)",1,"(x^2*(2 - (5*E^x)/(E^(4*x) + 4*E^(3*x)*x + 4*E^x*(-1 + x)*x^2 + 2*E^(2*x)*x*(-1 + 3*x) + x^2*(2 - 2*x + x^2))))/2","B",1
5983,1,20,20,0.0145308,"\int \frac{e^4 \left(-2+x-2 x^2\right)}{25 x-10 x^2+11 x^3-2 x^4+x^5+\left(10 x-2 x^2+2 x^3\right) \log \left(2 x^2\right)+x \log ^2\left(2 x^2\right)} \, dx","Integrate[(E^4*(-2 + x - 2*x^2))/(25*x - 10*x^2 + 11*x^3 - 2*x^4 + x^5 + (10*x - 2*x^2 + 2*x^3)*Log[2*x^2] + x*Log[2*x^2]^2),x]","\frac{e^4}{x^2+\log \left(2 x^2\right)-x+5}","\frac{e^4}{x^2+\log \left(2 x^2\right)-x+5}",1,"E^4/(5 - x + x^2 + Log[2*x^2])","A",1
5984,1,33,21,0.0037995,"\int \frac{-2 e^4-e^4 x \log \left(\frac{x}{4+2 x}\right)}{x} \, dx","Integrate[(-2*E^4 - E^4*x*Log[x/(4 + 2*x)])/x,x]","-2 e^4 \log (x)+2 e^4 \log (x+2)-e^4 x \log \left(\frac{x}{2 x+4}\right)","e^4 \left(4-(x+2) \log \left(\frac{x}{2 x+4}\right)\right)",1,"-2*E^4*Log[x] + 2*E^4*Log[2 + x] - E^4*x*Log[x/(4 + 2*x)]","A",1
5985,1,31,31,0.079312,"\int \frac{1}{3} \left(18 x^2+e^x \left(-12 x^2-4 x^3\right)+e^{e^x \left(3 x+x^2\right)} \left(4+e^x \left(12 x+20 x^2+4 x^3\right)\right)\right) \, dx","Integrate[(18*x^2 + E^x*(-12*x^2 - 4*x^3) + E^(E^x*(3*x + x^2))*(4 + E^x*(12*x + 20*x^2 + 4*x^3)))/3,x]","\frac{1}{3} \left(-4 e^x x^3+6 x^3+4 e^{e^x x (x+3)} x\right)","x \left(2 x^2+\frac{4}{3} \left(e^{e^x x (x+3)}-e^x x^2\right)\right)",1,"(4*E^(E^x*x*(3 + x))*x + 6*x^3 - 4*E^x*x^3)/3","A",1
5986,1,21,22,0.0063495,"\int \frac{1}{5} \left(10+4 e^{x^2} x+10 x \log ^2(3)\right) \, dx","Integrate[(10 + 4*E^x^2*x + 10*x*Log[3]^2)/5,x]","\frac{2 e^{x^2}}{5}+x^2 \log ^2(3)+2 x","\frac{2 e^{x^2}}{5}+x^2 \log ^2(3)+2 x-3",1,"(2*E^x^2)/5 + 2*x + x^2*Log[3]^2","A",1
5987,1,52,26,0.0646058,"\int \frac{e^{\frac{2 \left(-e^5 x+x^2+(1-x) \log (4)\right)}{\log (4)}} \left(-50 e^5 x+100 x^2+(25-50 x) \log (4)\right)}{9 \log (4)} \, dx","Integrate[(E^((2*(-(E^5*x) + x^2 + (1 - x)*Log[4]))/Log[4])*(-50*E^5*x + 100*x^2 + (25 - 50*x)*Log[4]))/(9*Log[4]),x]","\frac{25 x e^{\frac{2 \left(x^2-e^5 x-x \log (4)+\log (4)\right)}{\log (4)}} \left(-4 x+2 e^5+\log (16)\right)}{18 \left(-2 x+e^5+\log (4)\right)}","\frac{25}{9} x e^{-2 x+\frac{2 \left(x-e^5\right) x}{\log (4)}+2}",1,"(25*E^((2*(-(E^5*x) + x^2 + Log[4] - x*Log[4]))/Log[4])*x*(2*E^5 - 4*x + Log[16]))/(18*(E^5 - 2*x + Log[4]))","A",1
5988,1,15,16,0.0027812,"\int \frac{1}{25} \left(-8 x+10 e x-15 x^2\right) \, dx","Integrate[(-8*x + 10*E*x - 15*x^2)/25,x]","\frac{1}{25} (-5 x+5 e-4) x^2","\frac{1}{25} (5 (e-x)-4) x^2",1,"((-4 + 5*E - 5*x)*x^2)/25","A",1
5989,1,8,21,0.0048667,"\int \frac{e^x}{-7+e^x} \, dx","Integrate[E^x/(-7 + E^x),x]","\log \left(7-e^x\right)","\log \left(e \left(-\frac{2 \left(x^2+x\right)}{x}+2 x+e^x-5\right)\right)",1,"Log[7 - E^x]","A",1
5990,1,130,28,0.1491135,"\int \frac{5022+2832 x-48 x^2-292 x^3-62 x^4-4 x^5+\left(186+36 x-22 x^2-4 x^3\right) \log \left(\frac{e^x (3-x)}{3+x}\right)}{-9+x^2} \, dx","Integrate[(5022 + 2832*x - 48*x^2 - 292*x^3 - 62*x^4 - 4*x^5 + (186 + 36*x - 22*x^2 - 4*x^3)*Log[(E^x*(3 - x))/(3 + x)])/(-9 + x^2),x]","-x^4-20 x^3-153 x^2-2 x^2 \log \left(-\frac{e^x (x-3)}{x+3}\right)-66 \log \left(9-x^2\right)-594 x-\log ^2\left(\frac{x-3}{x+3}\right)-22 x \log \left(-\frac{e^x (x-3)}{x+3}\right)+84 \log (3-x)+48 \log (x+3)-4 \left(x+\log \left(\frac{x-3}{x+3}\right)-\log \left(-\frac{e^x (x-3)}{x+3}\right)-36\right) \tanh ^{-1}\left(\frac{x}{3}\right)","1-\left((x+5)^2+\log \left(\frac{e^x (3-x)}{x+3}\right)+2\right)^2",1,"-594*x - 153*x^2 - 20*x^3 - x^4 + 84*Log[3 - x] - Log[(-3 + x)/(3 + x)]^2 - 4*ArcTanh[x/3]*(-36 + x + Log[(-3 + x)/(3 + x)] - Log[-((E^x*(-3 + x))/(3 + x))]) - 22*x*Log[-((E^x*(-3 + x))/(3 + x))] - 2*x^2*Log[-((E^x*(-3 + x))/(3 + x))] + 48*Log[3 + x] - 66*Log[9 - x^2]","B",1
5991,1,21,19,0.0603541,"\int \frac{x+\left(2 x-3 x^2-6 x^5\right) \log (x)+2 x \log (x) \log (\log (x))}{\log (x)} \, dx","Integrate[(x + (2*x - 3*x^2 - 6*x^5)*Log[x] + 2*x*Log[x]*Log[Log[x]])/Log[x],x]","-x^6-x^3+x^2+x^2 \log (\log (x))","x \left(x-x \left(x^4+x-\log (\log (x))\right)\right)+5",1,"x^2 - x^3 - x^6 + x^2*Log[Log[x]]","A",1
5992,1,25,24,0.2210021,"\int \frac{e^x (-10+10 x)+\left(-5 e^x+5 x\right) \log \left(\frac{e^{2 x}-2 e^x x+x^2}{x^2}\right)+\left(6 e^x x-6 x^2\right) \log ^2\left(\frac{e^{2 x}-2 e^x x+x^2}{x^2}\right)}{\left(e^x-x\right) \log ^2\left(\frac{e^{2 x}-2 e^x x+x^2}{x^2}\right)} \, dx","Integrate[(E^x*(-10 + 10*x) + (-5*E^x + 5*x)*Log[(E^(2*x) - 2*E^x*x + x^2)/x^2] + (6*E^x*x - 6*x^2)*Log[(E^(2*x) - 2*E^x*x + x^2)/x^2]^2)/((E^x - x)*Log[(E^(2*x) - 2*E^x*x + x^2)/x^2]^2),x]","3 x^2-\frac{5 x}{\log \left(\frac{\left(e^x-x\right)^2}{x^2}\right)}","x \left(3 x-\frac{5}{\log \left(\frac{\left(x-e^x\right)^2}{x^2}\right)}\right)",1,"3*x^2 - (5*x)/Log[(E^x - x)^2/x^2]","A",1
5993,1,32,23,0.0114249,"\int \frac{-3-3 e^5-5 x-3 x^2+3 x^3+\left(-5 x-6 x^2+9 x^3\right) \log (x)}{3 x} \, dx","Integrate[(-3 - 3*E^5 - 5*x - 3*x^2 + 3*x^3 + (-5*x - 6*x^2 + 9*x^3)*Log[x])/(3*x),x]","x^3 \log (x)-x^2 \log (x)-\frac{5}{3} x \log (x)-e^5 \log (x)-\log (x)","\left(x^3-x^2-\frac{5 x}{3}-e^5-1\right) \log (x)",1,"-Log[x] - E^5*Log[x] - (5*x*Log[x])/3 - x^2*Log[x] + x^3*Log[x]","A",1
5994,1,31,18,5.0430524,"\int \frac{40+8 \log (x)+(32-24 x+8 e x+(8-6 x+2 e x) \log (x)) \log \left(\frac{4-3 x+e x}{x}\right)}{4 x^2-3 x^3+e x^3} \, dx","Integrate[(40 + 8*Log[x] + (32 - 24*x + 8*E*x + (8 - 6*x + 2*E*x)*Log[x])*Log[(4 - 3*x + E*x)/x])/(4*x^2 - 3*x^3 + E*x^3),x]","-\frac{2 \log (x) \log \left(\frac{4}{x}+e-3\right)}{x}-\frac{10 \log \left(\frac{4}{x}+e-3\right)}{x}","-\frac{2 \log \left(\frac{4}{x}+e-3\right) (\log (x)+5)}{x}",1,"(-10*Log[-3 + E + 4/x])/x - (2*Log[-3 + E + 4/x]*Log[x])/x","A",1
5995,1,18,18,0.03217,"\int \frac{-128+e^x (-128-128 x)}{81+324 x+432 x^2+192 x^3+192 e^{3 x} x^3+\left(324+864 x+576 x^2\right) \log (3)+(432+576 x) \log ^2(3)+192 \log ^3(3)+e^{2 x} \left(432 x^2+576 x^3+576 x^2 \log (3)\right)+e^x \left(324 x+864 x^2+576 x^3+\left(864 x+1152 x^2\right) \log (3)+576 x \log ^2(3)\right)} \, dx","Integrate[(-128 + E^x*(-128 - 128*x))/(81 + 324*x + 432*x^2 + 192*x^3 + 192*E^(3*x)*x^3 + (324 + 864*x + 576*x^2)*Log[3] + (432 + 576*x)*Log[3]^2 + 192*Log[3]^3 + E^(2*x)*(432*x^2 + 576*x^3 + 576*x^2*Log[3]) + E^x*(324*x + 864*x^2 + 576*x^3 + (864*x + 1152*x^2)*Log[3] + 576*x*Log[3]^2)),x]","\frac{16}{3 \left(4 \left(e^x+1\right) x+3+\log (81)\right)^2}","\frac{1}{3 \left(e^x x+x+\frac{3}{4}+\log (3)\right)^2}",1,"16/(3*(3 + 4*(1 + E^x)*x + Log[81])^2)","A",1
5996,1,18,20,1.4493009,"\int \frac{\left(-3-\log \left(\frac{3}{x}\right)\right) \sqrt[4]{4 x+x \log \left(\frac{3}{x}\right)}}{50176 x+12544 x \log \left(\frac{3}{x}\right)+\sqrt{4 x+x \log \left(\frac{3}{x}\right)} \left(16 x+4 x \log \left(\frac{3}{x}\right)\right)+\sqrt[4]{4 x+x \log \left(\frac{3}{x}\right)} \left(1792 x+448 x \log \left(\frac{3}{x}\right)\right)} \, dx","Integrate[((-3 - Log[3/x])*(4*x + x*Log[3/x])^(1/4))/(50176*x + 12544*x*Log[3/x] + Sqrt[4*x + x*Log[3/x]]*(16*x + 4*x*Log[3/x]) + (4*x + x*Log[3/x])^(1/4)*(1792*x + 448*x*Log[3/x])),x]","\frac{1}{\sqrt[4]{x \left(\log \left(\frac{3}{x}\right)+4\right)}+56}","\frac{1}{\sqrt[4]{x \left(\log \left(\frac{3}{x}\right)+4\right)}+56}+2",1,"(56 + (x*(4 + Log[3/x]))^(1/4))^(-1)","A",1
5997,1,15,27,0.0046721,"\int \frac{4 x^2+\left(-1+2 x^2\right) \log (4)}{4 x^2} \, dx","Integrate[(4*x^2 + (-1 + 2*x^2)*Log[4])/(4*x^2),x]","x+x \log (2)+\frac{\log (4)}{4 x}","x-\frac{1}{2} (2-x) \log (4)-\frac{x-\log (4)}{4 x}-3",1,"x + x*Log[2] + Log[4]/(4*x)","A",1
5998,1,20,20,0.2421898,"\int \frac{10 x+(-5+5 x) \log \left(-x^2\right)+x^3 \log ^2\left(-x^2\right)+x \log ^2(x) \log ^2\left(-x^2\right)+\log (x) \left(-10-2 x^2 \log ^2\left(-x^2\right)\right)}{x^3 \log ^2\left(-x^2\right)-2 x^2 \log (x) \log ^2\left(-x^2\right)+x \log ^2(x) \log ^2\left(-x^2\right)} \, dx","Integrate[(10*x + (-5 + 5*x)*Log[-x^2] + x^3*Log[-x^2]^2 + x*Log[x]^2*Log[-x^2]^2 + Log[x]*(-10 - 2*x^2*Log[-x^2]^2))/(x^3*Log[-x^2]^2 - 2*x^2*Log[x]*Log[-x^2]^2 + x*Log[x]^2*Log[-x^2]^2),x]","x-\frac{5}{(x-\log (x)) \log \left(-x^2\right)}","\frac{5}{(\log (x)-x) \log \left(-x^2\right)}+x",1,"x - 5/((x - Log[x])*Log[-x^2])","A",1
5999,1,35,33,0.1649518,"\int \frac{e^{-6+2 x} \left(e^{6-2 x} \left(-10+x+x^3\right) \log ^2(2)+4^{2 e^{-6+2 x}} \left(-2 e^{6-2 x}+4 x \log (4)\right)\right)}{x^3 \log ^2(2)} \, dx","Integrate[(E^(-6 + 2*x)*(E^(6 - 2*x)*(-10 + x + x^3)*Log[2]^2 + 4^(2*E^(-6 + 2*x))*(-2*E^(6 - 2*x) + 4*x*Log[4])))/(x^3*Log[2]^2),x]","\frac{5}{x^2}+\frac{2^{4 e^{2 x-6}-1} \log (4)}{x^2 \log ^3(2)}+x-\frac{1}{x}","\frac{x^2+\frac{-x+\frac{4^{2 e^{2 x-6}}}{\log ^2(2)}+5}{x}}{x}",1,"5/x^2 - x^(-1) + x + (2^(-1 + 4*E^(-6 + 2*x))*Log[4])/(x^2*Log[2]^3)","A",1
6000,1,67,23,0.0613692,"\int \frac{-5+\left(5+4 x \log \left(\frac{5}{4+e}\right)\right) \log \left(\frac{5+4 x \log \left(\frac{5}{4+e}\right)}{x \log \left(\frac{5}{4+e}\right)}\right)}{10+8 x \log \left(\frac{5}{4+e}\right)} \, dx","Integrate[(-5 + (5 + 4*x*Log[5/(4 + E)])*Log[(5 + 4*x*Log[5/(4 + E)])/(x*Log[5/(4 + E)])])/(10 + 8*x*Log[5/(4 + E)]),x]","\frac{5 \log (x)+\left(4 x \log \left(\frac{5}{4+e}\right)+5\right) \log \left(\frac{5}{x \log \left(\frac{5}{4+e}\right)}+4\right)-5 \log \left(4 x \log \left(\frac{5}{4+e}\right)+5\right)}{8 \log \left(\frac{5}{4+e}\right)}","\frac{1}{2} x \log \left(\frac{5}{x \log \left(\frac{5}{4+e}\right)}+4\right)",1,"(5*Log[x] + (5 + 4*x*Log[5/(4 + E)])*Log[4 + 5/(x*Log[5/(4 + E)])] - 5*Log[5 + 4*x*Log[5/(4 + E)]])/(8*Log[5/(4 + E)])","B",1
6001,1,19,19,0.0387191,"\int \frac{-3744 x+6 x^2+e^{\frac{2 (15+x)}{3}} (-1250+2 x)+e^{\frac{15+x}{3}} \left(-3744-1244 x+2 x^2\right)+\left(-3744+6 x+e^{\frac{15+x}{3}} (-1250+2 x)\right) \log (625-x)}{-1875+3 x} \, dx","Integrate[(-3744*x + 6*x^2 + E^((2*(15 + x))/3)*(-1250 + 2*x) + E^((15 + x)/3)*(-3744 - 1244*x + 2*x^2) + (-3744 + 6*x + E^((15 + x)/3)*(-1250 + 2*x))*Log[625 - x])/(-1875 + 3*x),x]","\left(x+e^{\frac{x}{3}+5}+\log (625-x)\right)^2","\left(x+e^{\frac{x}{3}+5}+\log (625-x)\right)^2",1,"(E^(5 + x/3) + x + Log[625 - x])^2","A",1
6002,1,15,25,0.005042,"\int \frac{1}{25} \left(-26-25 e^x+25 \log (3)\right) \, dx","Integrate[(-26 - 25*E^x + 25*Log[3])/25,x]","-\frac{26 x}{25}-e^x+x \log (3)","\frac{1}{25} (-x-1)-e^x-x+x \log (3)+2+\log (4)",1,"-E^x - (26*x)/25 + x*Log[3]","A",1
6003,1,27,32,0.0216991,"\int \frac{128-192 x-16 x^3}{\left(16 x-48 x^2+21 x^3+4 x^4\right) \log ^2\left(\frac{-16+48 x-21 x^2-4 x^3}{9 x^2}\right)} \, dx","Integrate[(128 - 192*x - 16*x^3)/((16*x - 48*x^2 + 21*x^3 + 4*x^4)*Log[(-16 + 48*x - 21*x^2 - 4*x^3)/(9*x^2)]^2),x]","\frac{4}{\log \left(-\frac{4 x^3+21 x^2-48 x+16}{9 x^2}\right)}","\frac{4}{\log \left(\frac{1}{3} \left(\frac{1}{3} \left(-\left(\frac{x-4}{x}+5\right)^2-4 x\right)+5\right)\right)}",1,"4/Log[-1/9*(16 - 48*x + 21*x^2 + 4*x^3)/x^2]","A",1
6004,1,23,23,0.1662143,"\int \frac{25^{-\frac{1}{\log \left(\frac{2+x}{2}\right)}} \left(25 x+e^{2 x} x\right)^{\frac{1}{\log \left(\frac{2+x}{2}\right)}} \left(\left(50+25 x+e^{2 x} \left(2+5 x+2 x^2\right)\right) \log \left(\frac{2+x}{2}\right)+\left(-25 x-e^{2 x} x\right) \log \left(\frac{1}{25} \left(25 x+e^{2 x} x\right)\right)\right)}{\left(50 x+25 x^2+e^{2 x} \left(2 x+x^2\right)\right) \log ^2\left(\frac{2+x}{2}\right)} \, dx","Integrate[((25*x + E^(2*x)*x)^Log[(2 + x)/2]^(-1)*((50 + 25*x + E^(2*x)*(2 + 5*x + 2*x^2))*Log[(2 + x)/2] + (-25*x - E^(2*x)*x)*Log[(25*x + E^(2*x)*x)/25]))/(25^Log[(2 + x)/2]^(-1)*(50*x + 25*x^2 + E^(2*x)*(2*x + x^2))*Log[(2 + x)/2]^2),x]","\left(\frac{1}{25} e^{2 x} x+x\right)^{\frac{1}{\log \left(\frac{x+2}{2}\right)}}","\left(\frac{1}{25} e^{2 x} x+x\right)^{\frac{1}{\log \left(\frac{x+2}{2}\right)}}",1,"(x + (E^(2*x)*x)/25)^Log[(2 + x)/2]^(-1)","A",1
6005,1,26,21,0.3994879,"\int \frac{12 e^{4+x}-\frac{1}{2} e^{8+2 x}}{144+\frac{1}{4} e^{4+x} (96-24 e+48 x)+\frac{1}{16} e^{8+2 x} \left(16+e^2+e (-8-4 x)+16 x+4 x^2\right)} \, dx","Integrate[(12*E^(4 + x) - E^(8 + 2*x)/2)/(144 + (E^(4 + x)*(96 - 24*E + 48*x))/4 + (E^(8 + 2*x)*(16 + E^2 + E*(-8 - 4*x) + 16*x + 4*x^2))/16),x]","-\frac{4 e^{x+4}}{-2 e^{x+4} (x+2)+e^{x+5}-48}","\frac{4}{2 x+48 e^{-x-4}-e+4}",1,"(-4*E^(4 + x))/(-48 + E^(5 + x) - 2*E^(4 + x)*(2 + x))","A",1
6006,1,17,17,0.3038486,"\int e^{13+e^x-2 x-x^2} \left(e^{2 x}+e^{-13-e^x+2 x+x^2}+e^x (-1-2 x)\right) \, dx","Integrate[E^(13 + E^x - 2*x - x^2)*(E^(2*x) + E^(-13 - E^x + 2*x + x^2) + E^x*(-1 - 2*x)),x]","e^{-x^2-x+e^x+13}+x","e^{-x^2-x+e^x+13}+x",1,"E^(13 + E^x - x - x^2) + x","A",1
6007,1,46,19,0.2766865,"\int \frac{-20 x-4 x^3+3 x^2 \log \left(e^{2 x+\frac{2 (-5+2 x)}{x}}\right)}{\log ^3\left(e^{2 x+\frac{2 (-5+2 x)}{x}}\right)} \, dx","Integrate[(-20*x - 4*x^3 + 3*x^2*Log[E^(2*x + (2*(-5 + 2*x))/x)])/Log[E^(2*x + (2*(-5 + 2*x))/x)]^3,x]","\frac{1}{4} \left(\frac{4 x^3}{\log ^2\left(e^{2 \left(x-\frac{5}{x}+2\right)}\right)}-2 x+\frac{10}{x}+\log \left(e^{2 \left(x-\frac{5}{x}+2\right)}\right)\right)","\frac{x^3}{\log ^2\left(e^{2 x-\frac{10}{x}+4}\right)}",1,"(10/x - 2*x + (4*x^3)/Log[E^(2*(2 - 5/x + x))]^2 + Log[E^(2*(2 - 5/x + x))])/4","B",1
6008,1,7,7,0.0013187,"\int -\frac{1}{-2+e-x} \, dx","Integrate[-(-2 + E - x)^(-1),x]","\log (x-e+2)","\log (x-e+2)",1,"Log[2 - E + x]","A",1
6009,1,8,19,0.0006979,"\int \frac{2-2 x}{x} \, dx","Integrate[(2 - 2*x)/x,x]","2 \log (x)-2 x","\log \left(\left(\frac{e^6}{4}-25\right) e^{-2 x} x^2\right)",1,"-2*x + 2*Log[x]","A",1
6010,1,26,26,0.5116849,"\int \frac{\left(-15+x^2\right) \log \left(x^2\right)+\left(180+24 x-12 x^2\right) \log \left(\log \left(x^2\right)\right)+\left(-45-3 x^2\right) \log \left(x^2\right) \log ^2\left(\log \left(x^2\right)\right)}{\left(225-240 x+94 x^2-16 x^3+x^4\right) \log \left(x^2\right)+\left(1350-540 x-96 x^2+60 x^3-6 x^4\right) \log \left(x^2\right) \log ^2\left(\log \left(x^2\right)\right)+\left(2025+540 x-234 x^2-36 x^3+9 x^4\right) \log \left(x^2\right) \log ^4\left(\log \left(x^2\right)\right)} \, dx","Integrate[((-15 + x^2)*Log[x^2] + (180 + 24*x - 12*x^2)*Log[Log[x^2]] + (-45 - 3*x^2)*Log[x^2]*Log[Log[x^2]]^2)/((225 - 240*x + 94*x^2 - 16*x^3 + x^4)*Log[x^2] + (1350 - 540*x - 96*x^2 + 60*x^3 - 6*x^4)*Log[x^2]*Log[Log[x^2]]^2 + (2025 + 540*x - 234*x^2 - 36*x^3 + 9*x^4)*Log[x^2]*Log[Log[x^2]]^4),x]","\frac{x}{(x-5) \left(3 (x+3) \log ^2\left(\log \left(x^2\right)\right)-x+3\right)}","\frac{x}{(x-5) \left(3 (x+3) \log ^2\left(\log \left(x^2\right)\right)-x+3\right)}",1,"x/((-5 + x)*(3 - x + 3*(3 + x)*Log[Log[x^2]]^2))","A",1
6011,1,19,22,0.0308754,"\int \left(64 e^{4 x}-16 e^{e^{e^{e^x}}+e^{e^x}+e^x+x}\right) \, dx","Integrate[64*E^(4*x) - 16*E^(E^E^E^x + E^E^x + E^x + x),x]","16 e^{4 x}-16 e^{e^{e^{e^x}}}","16 \left(-e^{e^{e^{e^x}}}+e^{4 x}+e^3\right)",1,"-16*E^E^E^E^x + 16*E^(4*x)","A",1
6012,1,24,33,0.0434967,"\int \frac{18-9 x+(-2+x) \log (4-2 x)+2 \log ^2(2) \log \left(\frac{1}{5} (9-\log (4-2 x))\right)}{18-9 x+(-2+x) \log (4-2 x)} \, dx","Integrate[(18 - 9*x + (-2 + x)*Log[4 - 2*x] + 2*Log[2]^2*Log[(9 - Log[4 - 2*x])/5])/(18 - 9*x + (-2 + x)*Log[4 - 2*x]),x]","x+\log ^2(2) \log ^2\left(\frac{1}{5} (9-\log (4-2 x))\right)","x+\log ^2(2) \log ^2\left(\frac{1}{5} (9-\log (2 (2-x)))\right)-\log ^2(\log (4))",1,"x + Log[2]^2*Log[(9 - Log[4 - 2*x])/5]^2","A",1
6013,1,12,12,0.0778155,"\int \frac{e^{-1+e^{\frac{1}{x}}-x} \left(-e^{\frac{1}{x}}-x^2\right)}{x^2} \, dx","Integrate[(E^(-1 + E^x^(-1) - x)*(-E^x^(-1) - x^2))/x^2,x]","e^{-x+e^{\frac{1}{x}}-1}","e^{-x+e^{\frac{1}{x}}-1}",1,"E^(-1 + E^x^(-1) - x)","A",1
6014,1,28,23,0.6320028,"\int \frac{e^{-16-16 x} \left(-32 e^{2+2 x} x^{21}+3 x^{24}-2 x^{25}+\left(7168 e^{4+4 x} x^{18}+e^{2+2 x} \left(-672 x^{21}+448 x^{22}\right)\right) \log (x)+\left(-688128 e^{6+6 x} x^{15}+e^{4+4 x} \left(64512 x^{18}-43008 x^{19}\right)\right) \log ^2(x)+\left(36700160 e^{8+8 x} x^{12}+e^{6+6 x} \left(-3440640 x^{15}+2293760 x^{16}\right)\right) \log ^3(x)+\left(-1174405120 e^{10+10 x} x^9+e^{8+8 x} \left(110100480 x^{12}-73400320 x^{13}\right)\right) \log ^4(x)+\left(22548578304 e^{12+12 x} x^6+e^{10+10 x} \left(-2113929216 x^9+1409286144 x^{10}\right)\right) \log ^5(x)+\left(-240518168576 e^{14+14 x} x^3+e^{12+12 x} \left(22548578304 x^6-15032385536 x^7\right)\right) \log ^6(x)+\left(1099511627776 e^{16+16 x}+e^{14+14 x} \left(-103079215104 x^3+68719476736 x^4\right)\right) \log ^7(x)\right)}{2097152 x} \, dx","Integrate[(E^(-16 - 16*x)*(-32*E^(2 + 2*x)*x^21 + 3*x^24 - 2*x^25 + (7168*E^(4 + 4*x)*x^18 + E^(2 + 2*x)*(-672*x^21 + 448*x^22))*Log[x] + (-688128*E^(6 + 6*x)*x^15 + E^(4 + 4*x)*(64512*x^18 - 43008*x^19))*Log[x]^2 + (36700160*E^(8 + 8*x)*x^12 + E^(6 + 6*x)*(-3440640*x^15 + 2293760*x^16))*Log[x]^3 + (-1174405120*E^(10 + 10*x)*x^9 + E^(8 + 8*x)*(110100480*x^12 - 73400320*x^13))*Log[x]^4 + (22548578304*E^(12 + 12*x)*x^6 + E^(10 + 10*x)*(-2113929216*x^9 + 1409286144*x^10))*Log[x]^5 + (-240518168576*E^(14 + 14*x)*x^3 + E^(12 + 12*x)*(22548578304*x^6 - 15032385536*x^7))*Log[x]^6 + (1099511627776*E^(16 + 16*x) + E^(14 + 14*x)*(-103079215104*x^3 + 68719476736*x^4))*Log[x]^7))/(2097152*x),x]","\frac{e^{-16 (x+1)} \left(x^3-32 e^{2 x+2} \log (x)\right)^8}{16777216}","256 \left(2 \log (x)-\frac{1}{16} e^{-2 x-2} x^3\right)^8",1,"(x^3 - 32*E^(2 + 2*x)*Log[x])^8/(16777216*E^(16*(1 + x)))","A",1
6015,1,19,19,0.0124884,"\int e^{25+e^2-3 x-x^2} x \left(2-3 x-2 x^2\right) \, dx","Integrate[E^(25 + E^2 - 3*x - x^2)*x*(2 - 3*x - 2*x^2),x]","e^{-x^2-3 x+e^2+25} x^2","e^{-x^2-3 x+e^2+25} x^2",1,"E^(25 + E^2 - 3*x - x^2)*x^2","A",1
6016,1,14,23,0.0019517,"\int \left(17+2 x-2 \log (x)-\log ^2(x)\right) \, dx","Integrate[17 + 2*x - 2*Log[x] - Log[x]^2,x]","x^2+17 x-x \log ^2(x)","(x+3)^2+11 x-x \log ^2(x)-4+\frac{3}{\log (2)}",1,"17*x + x^2 - x*Log[x]^2","A",1
6017,1,24,24,0.1535678,"\int \frac{-12 e^{e^x}+(-6 x+6 x \log (3)) \log \left(x^2\right)-6 e^{e^x+x} x \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)+\left((3 x-3 x \log (3)) \log \left(x^2\right)+3 e^{e^x} \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)\right) \log \left(x-x \log (3)+e^{e^x} \log \left(\log \left(x^2\right)\right)\right)}{\left((x-x \log (3)) \log \left(x^2\right)+e^{e^x} \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)\right) \log ^3\left(x-x \log (3)+e^{e^x} \log \left(\log \left(x^2\right)\right)\right)} \, dx","Integrate[(-12*E^E^x + (-6*x + 6*x*Log[3])*Log[x^2] - 6*E^(E^x + x)*x*Log[x^2]*Log[Log[x^2]] + ((3*x - 3*x*Log[3])*Log[x^2] + 3*E^E^x*Log[x^2]*Log[Log[x^2]])*Log[x - x*Log[3] + E^E^x*Log[Log[x^2]]])/(((x - x*Log[3])*Log[x^2] + E^E^x*Log[x^2]*Log[Log[x^2]])*Log[x - x*Log[3] + E^E^x*Log[Log[x^2]]]^3),x]","\frac{3 x}{\log ^2\left(e^{e^x} \log \left(\log \left(x^2\right)\right)+x+x (-\log (3))\right)}","\frac{3 x}{\log ^2\left(e^{e^x} \log \left(\log \left(x^2\right)\right)+x+x (-\log (3))\right)}",1,"(3*x)/Log[x - x*Log[3] + E^E^x*Log[Log[x^2]]]^2","A",1
6018,1,49,30,0.0610751,"\int \frac{1}{6} \left(1+18 e^{3 x}+6 e^{6 x}+4 e^{2 x^2} x+e^{x^2} \left(12 x+e^{3 x} (6+4 x)\right)\right) \, dx","Integrate[(1 + 18*E^(3*x) + 6*E^(6*x) + 4*E^(2*x^2)*x + E^x^2*(12*x + E^(3*x)*(6 + 4*x)))/6,x]","e^{x^2}+\frac{e^{2 x^2}}{6}+\frac{1}{3} e^{x^2+3 x}+\frac{x}{6}+e^{3 x}+\frac{e^{6 x}}{6}","\frac{1}{2} \left(\frac{1}{3} \left(\left(e^{x^2}+e^{3 x}+3\right)^2+x\right)-e^4\right)",1,"E^(3*x) + E^(6*x)/6 + E^x^2 + E^(2*x^2)/6 + E^(3*x + x^2)/3 + x/6","A",1
6019,1,53,21,1.322705,"\int \frac{e^{\frac{1}{9} \left(36 x-96 x^2+100 x^3-48 x^4+9 x^5\right)} \left(12-64 x+100 x^2-64 x^3+15 x^4\right)}{3-6 e^{\frac{1}{9} \left(36 x-96 x^2+100 x^3-48 x^4+9 x^5\right)}+3 e^{\frac{2}{9} \left(36 x-96 x^2+100 x^3-48 x^4+9 x^5\right)}} \, dx","Integrate[(E^((36*x - 96*x^2 + 100*x^3 - 48*x^4 + 9*x^5)/9)*(12 - 64*x + 100*x^2 - 64*x^3 + 15*x^4))/(3 - 6*E^((36*x - 96*x^2 + 100*x^3 - 48*x^4 + 9*x^5)/9) + 3*E^((2*(36*x - 96*x^2 + 100*x^3 - 48*x^4 + 9*x^5))/9)),x]","-\frac{e^{x^5+\frac{100 x^3}{9}+4 x}}{e^{x^5+\frac{100 x^3}{9}+4 x}-e^{\frac{16}{3} x^2 \left(x^2+2\right)}}","\frac{1}{1-e^{x \left(\left(x-\frac{8}{3}\right) x+2\right)^2}}",1,"-(E^(4*x + (100*x^3)/9 + x^5)/(-E^((16*x^2*(2 + x^2))/3) + E^(4*x + (100*x^3)/9 + x^5)))","B",1
6020,1,20,19,0.2703609,"\int \frac{e^{9+x^2+\log (x) \log \left(x^5 \log ^2(4)\right)} \left(2 x^2+5 \log (x)+\log \left(x^5 \log ^2(4)\right)\right)}{x} \, dx","Integrate[(E^(9 + x^2 + Log[x]*Log[x^5*Log[4]^2])*(2*x^2 + 5*Log[x] + Log[x^5*Log[4]^2]))/x,x]","e^{x^2+9} x^{\log \left(x^5\right)+2 \log (\log (4))}","e^{\log (x) \log \left(x^5 \log ^2(4)\right)+x^2+9}",1,"E^(9 + x^2)*x^(Log[x^5] + 2*Log[Log[4]])","A",1
6021,1,17,16,0.0404442,"\int \left(2 e^{-2+2 x}+2 x-6 x^2+4 x^3+e^{-1+x} \left(2-2 x-2 x^2\right)\right) \, dx","Integrate[2*E^(-2 + 2*x) + 2*x - 6*x^2 + 4*x^3 + E^(-1 + x)*(2 - 2*x - 2*x^2),x]","\frac{\left(e^x-e (x-1) x\right)^2}{e^2}","\left(-x^2+x+e^{x-1}\right)^2+1",1,"(E^x - E*(-1 + x)*x)^2/E^2","A",1
6022,1,22,31,0.7017605,"\int \frac{-216+216 x-54 x^2+e^x \left(36-144 x+99 x^2-18 x^3\right)+\left(-108+216 x-81 x^2\right) \log (9)+\left(108-216 x+81 x^2\right) \log (x)}{e^{3 x}-9 e^{2 x} \log (9)+27 e^x \log ^2(9)-27 \log ^3(9)+\left(9 e^{2 x}-54 e^x \log (9)+81 \log ^2(9)\right) \log (x)+\left(27 e^x-81 \log (9)\right) \log ^2(x)+27 \log ^3(x)} \, dx","Integrate[(-216 + 216*x - 54*x^2 + E^x*(36 - 144*x + 99*x^2 - 18*x^3) + (-108 + 216*x - 81*x^2)*Log[9] + (108 - 216*x + 81*x^2)*Log[x])/(E^(3*x) - 9*E^(2*x)*Log[9] + 27*E^x*Log[9]^2 - 27*Log[9]^3 + (9*E^(2*x) - 54*E^x*Log[9] + 81*Log[9]^2)*Log[x] + (27*E^x - 81*Log[9])*Log[x]^2 + 27*Log[x]^3),x]","\frac{9 (x-2)^2 x}{\left(e^x+3 \log (x)-3 \log (9)\right)^2}","\frac{\left(2 x-x^2\right)^2}{x \left(\frac{e^x}{3}+\log (x)-\log (9)\right)^2}",1,"(9*(-2 + x)^2*x)/(E^x - 3*Log[9] + 3*Log[x])^2","A",1
6023,1,36,26,0.0113215,"\int \frac{e^3-x+4 x^2+\left(-8 x^2-24 x^3-16 x^4\right) \log (3)}{x} \, dx","Integrate[(E^3 - x + 4*x^2 + (-8*x^2 - 24*x^3 - 16*x^4)*Log[3])/x,x]","-4 x^4 \log (3)-8 x^3 \log (3)+2 x^2-4 x^2 \log (3)-x+e^3 \log (x)","2 x^2-4 \left(x^2+x\right)^2 \log (3)-x+e^3 \log (x)",1,"-x + 2*x^2 - 4*x^2*Log[3] - 8*x^3*Log[3] - 4*x^4*Log[3] + E^3*Log[x]","A",1
6024,1,22,23,0.1080818,"\int \frac{8-8 x+2 x^2+e^{\frac{-3 x+x^2}{-2+x}} \left(-156 x+104 x^2-26 x^3\right)+e^{\frac{-3 x+x^2}{-2+x}} \left(6 x-4 x^2+x^3\right) \log (x)}{-104 x+104 x^2-26 x^3+\left(4 x-4 x^2+x^3\right) \log (x)} \, dx","Integrate[(8 - 8*x + 2*x^2 + E^((-3*x + x^2)/(-2 + x))*(-156*x + 104*x^2 - 26*x^3) + E^((-3*x + x^2)/(-2 + x))*(6*x - 4*x^2 + x^3)*Log[x])/(-104*x + 104*x^2 - 26*x^3 + (4*x - 4*x^2 + x^3)*Log[x]),x]","e^{x-\frac{2}{x-2}-1}+2 \log (26-\log (x))","e^{\frac{x}{2-x}+x}+\log \left((26-\log (x))^2\right)",1,"E^(-1 - 2/(-2 + x) + x) + 2*Log[26 - Log[x]]","A",1
6025,1,20,20,0.1819683,"\int \frac{\left(\frac{16}{e^{25}}+x\right) \log \left(\frac{16}{e^{25}}+x\right)+\left(\frac{16 x}{e^{25}}+x^2\right) \log (x) \log ^2\left(\frac{16}{e^{25}}+x\right)+\left(-x \log (x)+\left(-\frac{16}{e^{25}}-x\right) \log (x) \log \left(\frac{16}{e^{25}}+x\right)\right) \log (\log (x))}{\left(\frac{16 x^2}{e^{25}}+x^3\right) \log (x) \log ^2\left(\frac{16}{e^{25}}+x\right)} \, dx","Integrate[((16/E^25 + x)*Log[16/E^25 + x] + ((16*x)/E^25 + x^2)*Log[x]*Log[16/E^25 + x]^2 + (-(x*Log[x]) + (-16/E^25 - x)*Log[x]*Log[16/E^25 + x])*Log[Log[x]])/(((16*x^2)/E^25 + x^3)*Log[x]*Log[16/E^25 + x]^2),x]","\log (x)+\frac{\log (\log (x))}{x \log \left(x+\frac{16}{e^{25}}\right)}","\log \left(x \sqrt[x \log \left(x+\frac{16}{e^{25}}\right)]{\log (x)}\right)",1,"Log[x] + Log[Log[x]]/(x*Log[16/E^25 + x])","A",1
6026,1,25,20,0.0413073,"\int \frac{4+e^{2 x} x+144 x^2+\left(-4+144 x^2+2 e^{2 x} x^2\right) \log (x)}{144 x^2} \, dx","Integrate[(4 + E^(2*x)*x + 144*x^2 + (-4 + 144*x^2 + 2*E^(2*x)*x^2)*Log[x])/(144*x^2),x]","\frac{1}{144} \left(e^{2 x} \log (x)+144 x \log (x)+\frac{4 \log (x)}{x}\right)","\left(\frac{1}{144} \left(e^{2 x}+\frac{4}{x}\right)+x\right) \log (x)",1,"(E^(2*x)*Log[x] + (4*Log[x])/x + 144*x*Log[x])/144","A",1
6027,1,24,32,0.0333401,"\int \frac{\left(6 x-2 e^5 x\right) \log \left(x^2\right)}{25 \log (7)+50 \log (7) \log \left(x^2\right)+25 \log (7) \log ^2\left(x^2\right)} \, dx","Integrate[((6*x - 2*E^5*x)*Log[x^2])/(25*Log[7] + 50*Log[7]*Log[x^2] + 25*Log[7]*Log[x^2]^2),x]","-\frac{\left(e^5-3\right) x^2}{25 \log (7) \left(\log \left(x^2\right)+1\right)}","\frac{1}{5} \left(\frac{\left(3-e^5\right) x^2}{5 \log (7) \left(\log \left(x^2\right)+1\right)}-2\right)",1,"-1/25*((-3 + E^5)*x^2)/(Log[7]*(1 + Log[x^2]))","A",1
6028,1,31,31,0.1611387,"\int \frac{\exp \left(-\frac{2 \log ^2(x)}{-8 x+2 x^2+3 e^{4+x} x^2-4 x^3}\right) \left(\left(32-8 x-12 e^{4+x} x+16 x^2\right) \log (x)+\left(-16+8 x-24 x^2+e^{4+x} \left(12 x+6 x^2\right)\right) \log ^2(x)\right)}{64 x^2-32 x^3+68 x^4+9 e^{8+2 x} x^4-16 x^5+16 x^6+e^{4+x} \left(-48 x^3+12 x^4-24 x^5\right)} \, dx","Integrate[((32 - 8*x - 12*E^(4 + x)*x + 16*x^2)*Log[x] + (-16 + 8*x - 24*x^2 + E^(4 + x)*(12*x + 6*x^2))*Log[x]^2)/(E^((2*Log[x]^2)/(-8*x + 2*x^2 + 3*E^(4 + x)*x^2 - 4*x^3))*(64*x^2 - 32*x^3 + 68*x^4 + 9*E^(8 + 2*x)*x^4 - 16*x^5 + 16*x^6 + E^(4 + x)*(-48*x^3 + 12*x^4 - 24*x^5))),x]","\exp \left(\frac{2 \log ^2(x)}{x \left(4 x^2-3 e^{x+4} x-2 x+8\right)}\right)","e^{\frac{\log ^2(x)}{x \left(2 \left(x-\frac{3 e^{x+4}}{4}\right) x-x+4\right)}}",1,"E^((2*Log[x]^2)/(x*(8 - 2*x - 3*E^(4 + x)*x + 4*x^2)))","A",1
6029,1,27,31,0.1896007,"\int \frac{e^{-x} \left(-x^2+\left(8 x^2-x^3+(-1-x) \log (2)\right) \log (x)+\left(-x^2+x^3\right) \log (x) \log (\log (x))\right)}{x^2 \log (x)} \, dx","Integrate[(-x^2 + (8*x^2 - x^3 + (-1 - x)*Log[2])*Log[x] + (-x^2 + x^3)*Log[x]*Log[Log[x]])/(E^x*x^2*Log[x]),x]","e^{-x} \left(x+\frac{\log (2)}{x}-7\right)-e^{-x} x \log (\log (x))","e^{-x} \left(2 x+x (-\log (\log (x)))+\frac{-((x+5) x)+x+\log (2)}{x}-3\right)",1,"(-7 + x + Log[2]/x)/E^x - (x*Log[Log[x]])/E^x","A",1
6030,1,28,21,0.059489,"\int \frac{x^2+2 e^x x^2+e^{2 x} (-1+2 x)+e^{e^{10}} \left(1+2 e^{2 x}+2 x+e^x (2+2 x)\right)}{\left(e^{2 x} x+x^2+2 e^x x^2+x^3+e^{e^{10}} \left(e^{2 x}+x+2 e^x x+x^2\right)\right) \log \left(\frac{e^{2 x}+x+2 e^x x+x^2}{e^{e^{10}}+x}\right)} \, dx","Integrate[(x^2 + 2*E^x*x^2 + E^(2*x)*(-1 + 2*x) + E^E^10*(1 + 2*E^(2*x) + 2*x + E^x*(2 + 2*x)))/((E^(2*x)*x + x^2 + 2*E^x*x^2 + x^3 + E^E^10*(E^(2*x) + x + 2*E^x*x + x^2))*Log[(E^(2*x) + x + 2*E^x*x + x^2)/(E^E^10 + x)]),x]","\log \left(\log \left(\frac{x^2+2 e^x x+x+e^{2 x}}{x+e^{e^{10}}}\right)\right)","\log \left(\log \left(\frac{\left(x+e^x\right)^2+x}{x+e^{e^{10}}}\right)\right)",1,"Log[Log[(E^(2*x) + x + 2*E^x*x + x^2)/(E^E^10 + x)]]","A",1
6031,1,22,22,0.2922644,"\int \frac{\exp \left(\frac{4+(1+x) \log \left(\frac{x^2}{7}\right)+\log \left(\frac{x^2}{7}\right) \log (\log (4+x))}{\log \left(\frac{x^2}{7}\right)}\right) \left((-32-8 x) \log (4+x)+\log ^2\left(\frac{x^2}{7}\right) \left(x+\left(4 x+x^2\right) \log (4+x)\right)\right)}{\left(4 x+x^2\right) \log ^2\left(\frac{x^2}{7}\right) \log (4+x)} \, dx","Integrate[(E^((4 + (1 + x)*Log[x^2/7] + Log[x^2/7]*Log[Log[4 + x]])/Log[x^2/7])*((-32 - 8*x)*Log[4 + x] + Log[x^2/7]^2*(x + (4*x + x^2)*Log[4 + x])))/((4*x + x^2)*Log[x^2/7]^2*Log[4 + x]),x]","e^{\frac{4}{\log \left(\frac{x^2}{7}\right)}+x+1} \log (x+4)","e^{\frac{4}{\log \left(\frac{x^2}{7}\right)}+x+1} \log (x+4)",1,"E^(1 + x + 4/Log[x^2/7])*Log[4 + x]","A",1
6032,1,24,28,0.0273268,"\int \frac{-3+e^{2 x} (-48-96 x)+6 e^{x^2} x}{3125+125 e^{2 x^2}-1250 x+125 x^2+32000 e^{4 x} x^2+e^{x^2} \left(1250-250 x-4000 e^{2 x} x\right)+e^{2 x} \left(-20000 x+4000 x^2\right)} \, dx","Integrate[(-3 + E^(2*x)*(-48 - 96*x) + 6*E^x^2*x)/(3125 + 125*E^(2*x^2) - 1250*x + 125*x^2 + 32000*E^(4*x)*x^2 + E^x^2*(1250 - 250*x - 4000*E^(2*x)*x) + E^(2*x)*(-20000*x + 4000*x^2)),x]","-\frac{3}{125 \left(e^{x^2}-16 e^{2 x} x-x+5\right)}","5 \left(5-\frac{3}{625 \left(e^{x^2}-16 e^{2 x} x-x+5\right)}\right)",1,"-3/(125*(5 + E^x^2 - x - 16*E^(2*x)*x))","A",1
6033,1,15,15,0.0632192,"\int e^{12+16 x+7 x^2+x^3} \left(64+56 x+12 x^2\right) \, dx","Integrate[E^(12 + 16*x + 7*x^2 + x^3)*(64 + 56*x + 12*x^2),x]","4 e^{(x+2)^3+(x+2)^2}","4 e^{(x+2)^2 (x+3)}-36",1,"4*E^((2 + x)^2 + (2 + x)^3)","A",1
6034,1,27,26,0.0094338,"\int \frac{e^4 \left(18+72 x-63 x^2+9 x^3\right)}{32-32 x-24 x^2+32 x^3-8 x^5+2 x^6} \, dx","Integrate[(E^4*(18 + 72*x - 63*x^2 + 9*x^3))/(32 - 32*x - 24*x^2 + 32*x^3 - 8*x^5 + 2*x^6),x]","\frac{9 e^4 (4-x)}{4 \left(x^3-2 x^2-2 x+4\right)}","\frac{9 e^4 (x-4)}{(2-x) \left(4 x^2-8\right)}+1",1,"(9*E^4*(4 - x))/(4*(4 - 2*x - 2*x^2 + x^3))","A",1
6035,1,53,25,0.1038687,"\int \frac{-e^x-x+e^{4+x+8 x^2} \left(-6+9 x+144 x^2+e^x (3+144 x)\right)+e^{4+x+8 x^2} \left(2+e^x (-4-96 x)-6 x-96 x^2\right) \log \left(e^x+x\right)+e^{4+x+8 x^2} \left(x+16 x^2+e^x (1+16 x)\right) \log ^2\left(e^x+x\right)}{e^x+x} \, dx","Integrate[(-E^x - x + E^(4 + x + 8*x^2)*(-6 + 9*x + 144*x^2 + E^x*(3 + 144*x)) + E^(4 + x + 8*x^2)*(2 + E^x*(-4 - 96*x) - 6*x - 96*x^2)*Log[E^x + x] + E^(4 + x + 8*x^2)*(x + 16*x^2 + E^x*(1 + 16*x))*Log[E^x + x]^2)/(E^x + x),x]","9 e^{8 x^2+x+4}+e^{8 x^2+x+4} \log ^2\left(x+e^x\right)-6 e^{8 x^2+x+4} \log \left(x+e^x\right)-x","e^{8 x^2+x+4} \left(\log \left(x+e^x\right)-3\right)^2-x",1,"9*E^(4 + x + 8*x^2) - x - 6*E^(4 + x + 8*x^2)*Log[E^x + x] + E^(4 + x + 8*x^2)*Log[E^x + x]^2","B",1
6036,1,19,23,0.428787,"\int \frac{e^{\frac{-5760-40 e^x+9 x^2}{40 e^x-9 x^2}} \left(230400 e^x-103680 x\right)}{1600 e^{2 x}-720 e^x x^2+81 x^4} \, dx","Integrate[(E^((-5760 - 40*E^x + 9*x^2)/(40*E^x - 9*x^2))*(230400*E^x - 103680*x))/(1600*E^(2*x) - 720*E^x*x^2 + 81*x^4),x]","e^{-\frac{5760}{40 e^x-9 x^2}-1}","e^{\frac{40}{\frac{x^2}{16}-\frac{5 e^x}{18}}-1}",1,"E^(-1 - 5760/(40*E^x - 9*x^2))","A",1
6037,1,37,27,0.0443984,"\int \frac{e^{51 x^2} \left(-1+2 x+101 x^2-204 x^3+102 x^4\right)+e^{x^2} \left(-10 x^3+5 x^4-10 x^5+10 x^6\right)}{x^2-2 x^3+x^4} \, dx","Integrate[(E^(51*x^2)*(-1 + 2*x + 101*x^2 - 204*x^3 + 102*x^4) + E^x^2*(-10*x^3 + 5*x^4 - 10*x^5 + 10*x^6))/(x^2 - 2*x^3 + x^4),x]","\frac{e^{51 x^2}}{x}+\frac{5 e^{x^2} \left(2 x^3-2 x^2\right)}{2 (x-1)^2}","e^{x^2} x \left(\frac{e^{50 x^2}}{x^2}+\frac{5 x}{x-1}\right)",1,"E^(51*x^2)/x + (5*E^x^2*(-2*x^2 + 2*x^3))/(2*(-1 + x)^2)","A",1
6038,1,17,17,0.0225267,"\int \frac{-614656-87808 \log (2)-4704 \log ^2(2)-112 \log ^3(2)-\log ^4(2)+\left(-614656-87808 \log (2)-4704 \log ^2(2)-112 \log ^3(2)-\log ^4(2)\right) \log (x)}{1024 x^5 \log ^5(x)} \, dx","Integrate[(-614656 - 87808*Log[2] - 4704*Log[2]^2 - 112*Log[2]^3 - Log[2]^4 + (-614656 - 87808*Log[2] - 4704*Log[2]^2 - 112*Log[2]^3 - Log[2]^4)*Log[x])/(1024*x^5*Log[x]^5),x]","\frac{(28+\log (2))^4}{4096 x^4 \log ^4(x)}","\frac{(28+\log (2))^4}{4096 x^4 \log ^4(x)}",1,"(28 + Log[2])^4/(4096*x^4*Log[x]^4)","A",1
6039,1,20,23,0.1155745,"\int \frac{\left(-15 x+11 x^2-2 x^3+e^x \left(3 x-x^2\right)\right)^x \left(-15+22 x-6 x^2+e^x \left(3+x-x^2\right)+\left(-15+e^x (3-x)+11 x-2 x^2\right) \log \left(-15 x+11 x^2-2 x^3+e^x \left(3 x-x^2\right)\right)\right)}{240-176 x+32 x^2+e^x (-48+16 x)+\left(-120+e^x (24-8 x)+88 x-16 x^2\right) \left(-15 x+11 x^2-2 x^3+e^x \left(3 x-x^2\right)\right)^x+\left(15+e^x (-3+x)-11 x+2 x^2\right) \left(-15 x+11 x^2-2 x^3+e^x \left(3 x-x^2\right)\right)^{2 x}} \, dx","Integrate[((-15*x + 11*x^2 - 2*x^3 + E^x*(3*x - x^2))^x*(-15 + 22*x - 6*x^2 + E^x*(3 + x - x^2) + (-15 + E^x*(3 - x) + 11*x - 2*x^2)*Log[-15*x + 11*x^2 - 2*x^3 + E^x*(3*x - x^2)]))/(240 - 176*x + 32*x^2 + E^x*(-48 + 16*x) + (-120 + E^x*(24 - 8*x) + 88*x - 16*x^2)*(-15*x + 11*x^2 - 2*x^3 + E^x*(3*x - x^2))^x + (15 + E^x*(-3 + x) - 11*x + 2*x^2)*(-15*x + 11*x^2 - 2*x^3 + E^x*(3*x - x^2))^(2*x)),x]","\frac{1}{\left(-\left((x-3) x \left(2 x+e^x-5\right)\right)\right)^x-4}","\frac{1}{\left((3-x) x \left(2 x+e^x-5\right)\right)^x-4}+1",1,"(-4 + (-((-3 + x)*x*(-5 + E^x + 2*x)))^x)^(-1)","A",1
6040,1,52,34,0.1230418,"\int \frac{(8-2 x) \log (x)+4 \log ^2(x)-60 \log ^4(x)+e^{\frac{-3+2 \log (x)}{\log (x)}} \left(3-2 \log (x)-46 \log ^2(x)+15 \log ^4(x)\right)}{\left(4 x-x^2\right) \log ^2(x)+\left(-60 x+15 x^2\right) \log ^4(x)+e^{\frac{-3+2 \log (x)}{\log (x)}} \left(-x \log ^2(x)+15 x \log ^4(x)\right)} \, dx","Integrate[((8 - 2*x)*Log[x] + 4*Log[x]^2 - 60*Log[x]^4 + E^((-3 + 2*Log[x])/Log[x])*(3 - 2*Log[x] - 46*Log[x]^2 + 15*Log[x]^4))/((4*x - x^2)*Log[x]^2 + (-60*x + 15*x^2)*Log[x]^4 + E^((-3 + 2*Log[x])/Log[x])*(-(x*Log[x]^2) + 15*x*Log[x]^4)),x]","-\log \left(1-15 \log ^2(x)\right)+\log (x)-\log \left(x e^{\frac{3}{\log (x)}}-4 e^{\frac{3}{\log (x)}}+e^2\right)+2 \log (\log (x))+\frac{3}{\log (x)}","\log \left(\frac{x}{\left(-x-e^{2-\frac{3}{\log (x)}}+4\right) \left(3-\frac{1}{5 \log ^2(x)}\right)}\right)",1,"3/Log[x] + Log[x] - Log[E^2 - 4*E^(3/Log[x]) + E^(3/Log[x])*x] + 2*Log[Log[x]] - Log[1 - 15*Log[x]^2]","A",1
6041,1,25,26,0.0464022,"\int \frac{-4+x^{\left.\frac{1}{2}\right/x} (-1+\log (x))+2 \log \left(\frac{x^2}{5}\right)}{2 x^2} \, dx","Integrate[(-4 + x^(1/(2*x))*(-1 + Log[x]) + 2*Log[x^2/5])/(2*x^2),x]","-\frac{x^{\frac{1}{2 x}+1}+\log \left(\frac{x^2}{5}\right)}{x}","-x^{\left.\frac{1}{2}\right/x}-\frac{\log \left(\frac{x^2}{5}\right)}{x}+1",1,"-((x^(1 + 1/(2*x)) + Log[x^2/5])/x)","A",1
6042,1,59,29,0.1561463,"\int \frac{-320 e^{4 x}+1280 e^{4 x} x \log (x)-40 x \log ^2(x)+20 e^{e^x+x} x \log ^2(x)+\left(-64 e^{4 x}+256 e^{4 x} x \log (x)-8 x \log ^2(x)+4 e^{e^x+x} x \log ^2(x)\right) \log \left(\frac{256 e^{8 x}-64 e^{4 x} x \log (x)+e^{2 e^x} \log ^2(x)+4 x^2 \log ^2(x)+e^{e^x} \left(32 e^{4 x} \log (x)-4 x \log ^2(x)\right)}{\log ^2(x)}\right)}{16 e^{4 x} x \log (x)+e^{e^x} x \log ^2(x)-2 x^2 \log ^2(x)} \, dx","Integrate[(-320*E^(4*x) + 1280*E^(4*x)*x*Log[x] - 40*x*Log[x]^2 + 20*E^(E^x + x)*x*Log[x]^2 + (-64*E^(4*x) + 256*E^(4*x)*x*Log[x] - 8*x*Log[x]^2 + 4*E^(E^x + x)*x*Log[x]^2)*Log[(256*E^(8*x) - 64*E^(4*x)*x*Log[x] + E^(2*E^x)*Log[x]^2 + 4*x^2*Log[x]^2 + E^E^x*(32*E^(4*x)*Log[x] - 4*x*Log[x]^2))/Log[x]^2])/(16*E^(4*x)*x*Log[x] + E^E^x*x*Log[x]^2 - 2*x^2*Log[x]^2),x]","\log \left(\frac{\left(16 e^{4 x}+\left(e^{e^x}-2 x\right) \log (x)\right)^2}{\log ^2(x)}\right) \left(\log \left(\frac{\left(16 e^{4 x}+\left(e^{e^x}-2 x\right) \log (x)\right)^2}{\log ^2(x)}\right)+10\right)","\left(\log \left(\left(2 x-e^{e^x}-\frac{16 e^{4 x}}{\log (x)}\right)^2\right)+5\right)^2",1,"Log[(16*E^(4*x) + (E^E^x - 2*x)*Log[x])^2/Log[x]^2]*(10 + Log[(16*E^(4*x) + (E^E^x - 2*x)*Log[x])^2/Log[x]^2])","B",1
6043,1,31,25,0.0106175,"\int \frac{-6-12 x^2+2 x^3+e^4 \left(2+4 x^2\right)}{-6 x+2 e^4 x+x^2} \, dx","Integrate[(-6 - 12*x^2 + 2*x^3 + E^4*(2 + 4*x^2))/(-6*x + 2*E^4*x + x^2),x]","2 \left(\frac{x^2}{2}-\frac{1}{2} \log \left(-x-2 e^4+6\right)+\frac{\log (x)}{2}\right)","x^2-\log \left(\frac{5 \left(\frac{x}{2}+e^4-3\right)}{3 x}\right)+4",1,"2*(x^2/2 - Log[6 - 2*E^4 - x]/2 + Log[x]/2)","A",1
6044,1,19,20,0.0093971,"\int \frac{6+4 x-x^2-4 \log ^4(2)}{4-4 x+x^2} \, dx","Integrate[(6 + 4*x - x^2 - 4*Log[2]^4)/(4 - 4*x + x^2),x]","\frac{2 \left(2 \log ^4(2)-5\right)}{x-2}-x","\frac{10-4 \log ^4(2)}{2-x}-x",1,"-x + (2*(-5 + 2*Log[2]^4))/(-2 + x)","A",1
6045,1,22,25,0.4728828,"\int \frac{12 \log (3)-4 e^x \log (3)-e^x x \log (3) \log (x)+\left(-54+36 e^x-6 e^{2 x}\right) \log ^5(x)}{\left(54 x-36 e^x x+6 e^{2 x} x\right) \log ^5(x)} \, dx","Integrate[(12*Log[3] - 4*E^x*Log[3] - E^x*x*Log[3]*Log[x] + (-54 + 36*E^x - 6*E^(2*x))*Log[x]^5)/((54*x - 36*E^x*x + 6*E^(2*x)*x)*Log[x]^5),x]","\frac{\log (9)}{12 \left(e^x-3\right) \log ^4(x)}-\log (x)","-\frac{\log (3)}{6 \left(3-e^x\right) \log ^4(x)}-\log (x)+3",1,"Log[9]/(12*(-3 + E^x)*Log[x]^4) - Log[x]","A",1
6046,1,12,14,0.0364499,"\int \frac{-4-\log (x)}{25-10 x+x^2+(10-2 x) \log (x)+\log ^2(x)} \, dx","Integrate[(-4 - Log[x])/(25 - 10*x + x^2 + (10 - 2*x)*Log[x] + Log[x]^2),x]","-\frac{x}{-x+\log (x)+5}","4-\frac{x}{-x+\log (x)+5}",1,"-(x/(5 - x + Log[x]))","A",1
6047,1,24,27,0.0122693,"\int \frac{1}{144} \left(143-e^x-576 e^{3+4 e^x+x}\right) \, dx","Integrate[(143 - E^x - 576*E^(3 + 4*E^x + x))/144,x]","\frac{1}{144} \left(143 x-144 e^{4 e^x+3}-e^x\right)","\frac{1}{144} \left(-x-e^x\right)-e^{4 e^x+3}+x+1",1,"(-144*E^(3 + 4*E^x) - E^x + 143*x)/144","A",1
6048,1,13,27,0.1212182,"\int \frac{1}{5} e^{e^{e^x x}+x+e^x x} (-1-x) \, dx","Integrate[(E^(E^(E^x*x) + x + E^x*x)*(-1 - x))/5,x]","-\frac{1}{5} e^{e^{e^x x}}","\frac{1}{5} \left(-e^{e^{e^x x}}-6-\log ^2(4)\right)+\frac{1}{12}",1,"-1/5*E^E^(E^x*x)","A",1
6049,1,34,20,0.07004,"\int \frac{-2+\log (3)}{\left(-2 x-x^2+x \log (3)\right) \log \left(-\frac{3 x}{-10-5 x+5 \log (3)+(-2-x+\log (3)) \log (5)}\right)} \, dx","Integrate[(-2 + Log[3])/((-2*x - x^2 + x*Log[3])*Log[(-3*x)/(-10 - 5*x + 5*Log[3] + (-2 - x + Log[3])*Log[5])]),x]","-\frac{(2-\log (3)) \log \left(\log \left(\frac{3 x}{(5+\log (5)) (x+2-\log (3))}\right)\right)}{\log (3)-2}","\log \left(\log \left(\frac{3 x}{(5+\log (5)) (x+2-\log (3))}\right)\right)",1,"-(((2 - Log[3])*Log[Log[(3*x)/((2 + x - Log[3])*(5 + Log[5]))]])/(-2 + Log[3]))","A",1
6050,1,24,24,0.1221344,"\int \frac{\exp \left(\frac{8-8 x-8 x^3+8 x^4+e^{2 x} \left(-8 x^2+8 x^3\right)}{e^{2 x} x^2+x^3}\right) \left(-24 x+16 x^2+8 e^{4 x} x^3+8 x^5+e^{2 x} \left(-16-8 x+16 x^2+16 x^4\right)\right)}{e^{4 x} x^3+2 e^{2 x} x^4+x^5} \, dx","Integrate[(E^((8 - 8*x - 8*x^3 + 8*x^4 + E^(2*x)*(-8*x^2 + 8*x^3))/(E^(2*x)*x^2 + x^3))*(-24*x + 16*x^2 + 8*E^(4*x)*x^3 + 8*x^5 + E^(2*x)*(-16 - 8*x + 16*x^2 + 16*x^4)))/(E^(4*x)*x^3 + 2*E^(2*x)*x^4 + x^5),x]","e^{-\frac{8 (x-1)}{x^2 \left(x+e^{2 x}\right)}+8 x-8}","e^{4 (2-2 x) \left(\frac{1}{x^2 \left(x+e^{2 x}\right)}-1\right)}",1,"E^(-8 + 8*x - (8*(-1 + x))/(x^2*(E^(2*x) + x)))","A",1
6051,1,58,31,0.8964573,"\int \frac{\left(-3+6 x-3 x^2+e^{\frac{2 e^e x}{-1+x}} \left(1-2 x+x^2\right)\right) \log \left(9-6 e^{\frac{2 e^e x}{-1+x}}+e^{\frac{4 e^e x}{-1+x}}\right)+e^{\frac{2 e^e x}{-1+x}} \left(e^e (-16-8 x)+e^e (-8-4 x) \log \left(\frac{2+x}{5}\right)\right)}{-6+9 x-3 x^3+e^{\frac{2 e^e x}{-1+x}} \left(2-3 x+x^3\right)} \, dx","Integrate[((-3 + 6*x - 3*x^2 + E^((2*E^E*x)/(-1 + x))*(1 - 2*x + x^2))*Log[9 - 6*E^((2*E^E*x)/(-1 + x)) + E^((4*E^E*x)/(-1 + x))] + E^((2*E^E*x)/(-1 + x))*(E^E*(-16 - 8*x) + E^E*(-8 - 4*x)*Log[(2 + x)/5]))/(-6 + 9*x - 3*x^3 + E^((2*E^E*x)/(-1 + x))*(2 - 3*x + x^3)),x]","4 \log \left(3-e^{\frac{2 e^e}{x-1}+2 e^e}\right)+\log \left(\left(e^{\frac{2 e^e}{x-1}+2 e^e}-3\right)^2\right) \log \left(\frac{x+2}{5}\right)","\log \left(\left(3-e^{\frac{2 e^e x}{x-1}}\right)^2\right) \left(\log \left(\frac{x+2}{5}\right)+2\right)",1,"4*Log[3 - E^(2*E^E + (2*E^E)/(-1 + x))] + Log[(-3 + E^(2*E^E + (2*E^E)/(-1 + x)))^2]*Log[(2 + x)/5]","A",1
6052,1,29,34,0.0936303,"\int \frac{-4+e^{e^{2 x}+2 x} (2-8 x)-3 x^2+12 x^3+e^2 \left(2 x-8 x^2\right)}{-1+4 x} \, dx","Integrate[(-4 + E^(E^(2*x) + 2*x)*(2 - 8*x) - 3*x^2 + 12*x^3 + E^2*(2*x - 8*x^2))/(-1 + 4*x),x]","x^3-e^2 x^2-e^{e^{2 x}}-\log (1-4 x)","x \left(x \left(x-e^2\right)-\frac{e^{e^{2 x}}+\log \left(x-\frac{1}{4}\right)-5}{x}\right)-3",1,"-E^E^(2*x) - E^2*x^2 + x^3 - Log[1 - 4*x]","A",1
6053,1,28,24,0.0136427,"\int \frac{-3-10 x-x^2+1875 x^5-1875 x^6+1875 x^7-625 x^8}{x^2-625 x^7+625 x^8} \, dx","Integrate[(-3 - 10*x - x^2 + 1875*x^5 - 1875*x^6 + 1875*x^7 - 625*x^8)/(x^2 - 625*x^7 + 625*x^8),x]","2 \log \left(625 x^6-625 x^5+1\right)-x+\frac{3}{x}-10 \log (x)","\log \left(\left(\frac{1}{625 x^5}+x-1\right)^2\right)-x+\frac{x+3}{x}",1,"3/x - x - 10*Log[x] + 2*Log[1 - 625*x^5 + 625*x^6]","A",1
6054,1,26,27,0.2672586,"\int \frac{-160 x+68 x^2-8 x^3-4 x \log (7)+\left(-72 x+16 x^2\right) \log (7) \log \left(\frac{4}{x}\right)-8 x \log ^2(7) \log ^2\left(\frac{4}{x}\right)}{16-8 x+x^2+(8-2 x) \log (7) \log \left(\frac{4}{x}\right)+\log ^2(7) \log ^2\left(\frac{4}{x}\right)} \, dx","Integrate[(-160*x + 68*x^2 - 8*x^3 - 4*x*Log[7] + (-72*x + 16*x^2)*Log[7]*Log[4/x] - 8*x*Log[7]^2*Log[4/x]^2)/(16 - 8*x + x^2 + (8 - 2*x)*Log[7]*Log[4/x] + Log[7]^2*Log[4/x]^2),x]","-4 \left(x^2+\frac{x^2}{-x+\log (7) \log \left(\frac{4}{x}\right)+4}\right)","5-x^2 \left(\frac{4}{-x+\log (7) \log \left(\frac{4}{x}\right)+4}+4\right)",1,"-4*(x^2 + x^2/(4 - x + Log[7]*Log[4/x]))","A",1
6055,1,26,24,0.6483179,"\int \frac{e^{-x} \left(9 x+3 x^2+\left(-9 x^2-3 x^3+\left(-24 x^2+3 x^4\right) \log (x)+\left(9 x+3 x^2+\left(18 x-3 x^2-3 x^3\right) \log (x)\right) \log (3+x)\right) \log (\log (x))+\left(9 x+3 x^2+\left(18 x-3 x^2-3 x^3\right) \log (x)\right) \log (\log (x)) \log (\log (\log (x)))\right)}{(3+x) \log (\log (x))} \, dx","Integrate[(9*x + 3*x^2 + (-9*x^2 - 3*x^3 + (-24*x^2 + 3*x^4)*Log[x] + (9*x + 3*x^2 + (18*x - 3*x^2 - 3*x^3)*Log[x])*Log[3 + x])*Log[Log[x]] + (9*x + 3*x^2 + (18*x - 3*x^2 - 3*x^3)*Log[x])*Log[Log[x]]*Log[Log[Log[x]]])/(E^x*(3 + x)*Log[Log[x]]),x]","-3 e^{-x} x^2 \log (x) (x-\log (x+3)-\log (\log (\log (x))))","3 e^{-x} x^2 \log (x) (-x+\log (x+3)+\log (\log (\log (x))))",1,"(-3*x^2*Log[x]*(x - Log[3 + x] - Log[Log[Log[x]]]))/E^x","A",1
6056,1,21,23,0.0082966,"\int \frac{23+23 x^2+8 x^3}{-23 x-10 x^2+23 x^3+4 x^4} \, dx","Integrate[(23 + 23*x^2 + 8*x^3)/(-23*x - 10*x^2 + 23*x^3 + 4*x^4),x]","\log \left(-4 x^3-23 x^2+10 x+23\right)-\log (x)","\log \left(\frac{1-(x+6) \left(-4 x^2+x+4\right)}{4 x}\right)",1,"-Log[x] + Log[23 + 10*x - 23*x^2 - 4*x^3]","A",1
6057,1,13,21,0.0718255,"\int \frac{e^{\frac{e^x}{x}+x} (-1+x)+2 x^2}{x^2} \, dx","Integrate[(E^(E^x/x + x)*(-1 + x) + 2*x^2)/x^2,x]","2 x+e^{\frac{e^x}{x}}","2 x+e^{\frac{e^x}{x}}-i \pi -1+\log (3)",1,"E^(E^x/x) + 2*x","A",1
6058,1,33,30,0.4319776,"\int \frac{\left(-4-5 x-x^2\right) \log (16+4 x)+\left(x-2 e^x x^2+\left(-4-x+e^x \left(8 x+2 x^2\right)\right) \log (16+4 x)\right) \log \left(\frac{e^{-x} \left(-5+10 e^x x\right)}{2 x}\right)}{-4 x^2-x^3+e^x \left(8 x^3+2 x^4\right)} \, dx","Integrate[((-4 - 5*x - x^2)*Log[16 + 4*x] + (x - 2*E^x*x^2 + (-4 - x + E^x*(8*x + 2*x^2))*Log[16 + 4*x])*Log[(-5 + 10*E^x*x)/(2*E^x*x)])/(-4*x^2 - x^3 + E^x*(8*x^3 + 2*x^4)),x]","\log (x+4)-\frac{\left(x+\log \left(5-\frac{5 e^{-x}}{2 x}\right)\right) \log (4 (x+4))}{x}","e^3-\frac{\log \left(5-\frac{5 e^{-x}}{2 x}\right) \log (4 (x+4))}{x}",1,"Log[4 + x] - ((x + Log[5 - 5/(2*E^x*x)])*Log[4*(4 + x)])/x","A",1
6059,1,20,25,0.0374289,"\int \frac{110+16 x+\left(55+16 x+x^2\right) \log \left(\frac{3 x^2}{110+32 x+2 x^2}\right)}{55+16 x+x^2} \, dx","Integrate[(110 + 16*x + (55 + 16*x + x^2)*Log[(3*x^2)/(110 + 32*x + 2*x^2)])/(55 + 16*x + x^2),x]","x \log \left(\frac{3 x^2}{2 \left(x^2+16 x+55\right)}\right)","x \log \left(\frac{3 x^2}{(x+11) \log \left(e^{2 x+10}\right)}\right)-4",1,"x*Log[(3*x^2)/(2*(55 + 16*x + x^2))]","A",1
6060,1,19,26,0.1226944,"\int \frac{-4 x-x^3+e^{-5+2 x} \left(4+2 x^3\right)}{e^{-5+2 x} x^3-x^4} \, dx","Integrate[(-4*x - x^3 + E^(-5 + 2*x)*(4 + 2*x^3))/(E^(-5 + 2*x)*x^3 - x^4),x]","\log \left(e^{2 x}-e^5 x\right)-\frac{2}{x^2}","-\frac{2}{x^2}+\log \left(4 e^{2 e} \left(e^{2 x-5}-x\right)\right)+9",1,"-2/x^2 + Log[E^(2*x) - E^5*x]","A",1
6061,1,20,20,0.561574,"\int \frac{-40 \log (2)+\left(x+e^x x\right) \log ^2(x)}{\left(40 x \log (2) \log (x)+\left(x+e^x x+x^2-8 x \log (2)\right) \log ^2(x)\right) \log \left(\frac{40 \log (2)+\left(1+e^x+x-8 \log (2)\right) \log (x)}{\log (x)}\right)} \, dx","Integrate[(-40*Log[2] + (x + E^x*x)*Log[x]^2)/((40*x*Log[2]*Log[x] + (x + E^x*x + x^2 - 8*x*Log[2])*Log[x]^2)*Log[(40*Log[2] + (1 + E^x + x - 8*Log[2])*Log[x])/Log[x]]),x]","\log \left(\log \left(x+e^x+\frac{40 \log (2)}{\log (x)}+1-8 \log (2)\right)\right)","\log \left(\log \left(x+e^x-\frac{8 \log (2) (\log (x)-5)}{\log (x)}+1\right)\right)",1,"Log[Log[1 + E^x + x - 8*Log[2] + (40*Log[2])/Log[x]]]","A",1
6062,1,11,11,0.0304573,"\int \frac{1-2 x \log (x)+\log (x) \log (\log (x))}{\log (x)} \, dx","Integrate[(1 - 2*x*Log[x] + Log[x]*Log[Log[x]])/Log[x],x]","x \log (\log (x))-x^2","x (\log (\log (x))-x)+3",1,"-x^2 + x*Log[Log[x]]","A",1
6063,1,62,26,0.1705938,"\int \frac{2 x^4-6 x^5-2 x^6+e^{2+x} \left(-16 x-16 x^2-8 x^3\right)+\left(8 e^{2+x} x^2+2 x^5\right) \log \left(\frac{e^{-2-x} \left(4 e^{2+x}+x^3\right)}{x^2}\right)+\left(2 x^3-6 x^4-2 x^5+e^{2+x} \left(-16-16 x-8 x^2\right)+\left(8 e^{2+x} x+2 x^4\right) \log \left(\frac{e^{-2-x} \left(4 e^{2+x}+x^3\right)}{x^2}\right)\right) \log \left(-1-x+\log \left(\frac{e^{-2-x} \left(4 e^{2+x}+x^3\right)}{x^2}\right)\right)}{-x^4-x^5+e^{2+x} \left(-4 x-4 x^2\right)+\left(4 e^{2+x} x+x^4\right) \log \left(\frac{e^{-2-x} \left(4 e^{2+x}+x^3\right)}{x^2}\right)} \, dx","Integrate[(2*x^4 - 6*x^5 - 2*x^6 + E^(2 + x)*(-16*x - 16*x^2 - 8*x^3) + (8*E^(2 + x)*x^2 + 2*x^5)*Log[(E^(-2 - x)*(4*E^(2 + x) + x^3))/x^2] + (2*x^3 - 6*x^4 - 2*x^5 + E^(2 + x)*(-16 - 16*x - 8*x^2) + (8*E^(2 + x)*x + 2*x^4)*Log[(E^(-2 - x)*(4*E^(2 + x) + x^3))/x^2])*Log[-1 - x + Log[(E^(-2 - x)*(4*E^(2 + x) + x^3))/x^2]])/(-x^4 - x^5 + E^(2 + x)*(-4*x - 4*x^2) + (4*E^(2 + x)*x + x^4)*Log[(E^(-2 - x)*(4*E^(2 + x) + x^3))/x^2]),x]","2 \left(\frac{x^2}{2}+\frac{1}{2} \log ^2\left(\log \left(\frac{4}{x^2}+e^{-x-2} x\right)-x-1\right)+x \log \left(\log \left(\frac{4}{x^2}+e^{-x-2} x\right)-x-1\right)\right)","\left(\log \left(\log \left(\frac{4}{x^2}+e^{-x-2} x\right)-x-1\right)+x\right)^2",1,"2*(x^2/2 + x*Log[-1 - x + Log[4/x^2 + E^(-2 - x)*x]] + Log[-1 - x + Log[4/x^2 + E^(-2 - x)*x]]^2/2)","B",1
6064,1,27,22,0.264358,"\int \frac{-x^2+\frac{1}{3} e^{5-e^x+x} \left(-3-3 e^x x\right)}{e^{5-e^x+x} x+x^2} \, dx","Integrate[(-x^2 + (E^(5 - E^x + x)*(-3 - 3*E^x*x))/3)/(E^(5 - E^x + x)*x + x^2),x]","-x-e^x-\log (x)+\log \left(e^{e^x} x+e^{x+5}\right)","-x+\log \left(\frac{x+e^{x-e^x+5}}{x}\right)+2",1,"-E^x - x - Log[x] + Log[E^(5 + x) + E^E^x*x]","A",1
6065,1,35,33,0.2390159,"\int \left(18 x^2-32 x^3+\left(-12 x+36 x^2\right) \log (x)-12 x \log ^2(x)+e^{e^{e^{e^x}}} \left(-16 x+24 x^2+(12-24 x) \log (x)+6 \log ^2(x)+e^{e^{e^x}+e^x} \left(e^x \left(-2 x^2+8 x^3\right)-12 e^x x^2 \log (x)+6 e^x x \log ^2(x)\right)\right)\right) \, dx","Integrate[18*x^2 - 32*x^3 + (-12*x + 36*x^2)*Log[x] - 12*x*Log[x]^2 + E^E^E^E^x*(-16*x + 24*x^2 + (12 - 24*x)*Log[x] + 6*Log[x]^2 + E^(E^E^x + E^x)*(E^x*(-2*x^2 + 8*x^3) - 12*E^x*x^2*Log[x] + 6*E^x*x*Log[x]^2)),x]","2 \left(e^{e^{e^{e^x}}}-x\right) x \left(x (4 x-1)+3 \log ^2(x)-6 x \log (x)\right)","2 \left(e^{e^{e^{e^x}}}-x\right) x \left(x^2-x+3 (\log (x)-x)^2\right)",1,"2*(E^E^E^E^x - x)*x*(x*(-1 + 4*x) - 6*x*Log[x] + 3*Log[x]^2)","A",1
6066,1,570,33,0.6817791,"\int \frac{10 x-20 x^2+30 x^3-20 x^4-2 x^5+10 x^6-20 x^7+20 x^8-10 x^9+2 x^{10}+\left(5 x-16 x^3+52 x^4-60 x^5+28 x^6-4 x^7\right) \log (3)+\left(-32 x+48 x^2-18 x^3+2 x^4\right) \log ^2(3)+\left(-10+10 x-20 x^2+8 x^4-32 x^5+48 x^6-32 x^7+8 x^8+\left(32 x^2-72 x^3+48 x^4-8 x^5\right) \log (3)\right) \log (x)+\left(-12 x^3+36 x^4-36 x^5+12 x^6+\left(-16 x+20 x^2-4 x^3\right) \log (3)\right) \log ^2(x)+\left(8 x^2-16 x^3+8 x^4\right) \log ^3(x)+\left(-2 x+2 x^2\right) \log ^4(x)}{x^5-4 x^6+6 x^7-4 x^8+x^9+\left(8 x^3-18 x^4+12 x^5-2 x^6\right) \log (3)+\left(16 x-8 x^2+x^3\right) \log ^2(3)+\left(-4 x^4+12 x^5-12 x^6+4 x^7+\left(-16 x^2+20 x^3-4 x^4\right) \log (3)\right) \log (x)+\left(6 x^3-12 x^4+6 x^5+\left(8 x-2 x^2\right) \log (3)\right) \log ^2(x)+\left(-4 x^2+4 x^3\right) \log ^3(x)+x \log ^4(x)} \, dx","Integrate[(10*x - 20*x^2 + 30*x^3 - 20*x^4 - 2*x^5 + 10*x^6 - 20*x^7 + 20*x^8 - 10*x^9 + 2*x^10 + (5*x - 16*x^3 + 52*x^4 - 60*x^5 + 28*x^6 - 4*x^7)*Log[3] + (-32*x + 48*x^2 - 18*x^3 + 2*x^4)*Log[3]^2 + (-10 + 10*x - 20*x^2 + 8*x^4 - 32*x^5 + 48*x^6 - 32*x^7 + 8*x^8 + (32*x^2 - 72*x^3 + 48*x^4 - 8*x^5)*Log[3])*Log[x] + (-12*x^3 + 36*x^4 - 36*x^5 + 12*x^6 + (-16*x + 20*x^2 - 4*x^3)*Log[3])*Log[x]^2 + (8*x^2 - 16*x^3 + 8*x^4)*Log[x]^3 + (-2*x + 2*x^2)*Log[x]^4)/(x^5 - 4*x^6 + 6*x^7 - 4*x^8 + x^9 + (8*x^3 - 18*x^4 + 12*x^5 - 2*x^6)*Log[3] + (16*x - 8*x^2 + x^3)*Log[3]^2 + (-4*x^4 + 12*x^5 - 12*x^6 + 4*x^7 + (-16*x^2 + 20*x^3 - 4*x^4)*Log[3])*Log[x] + (6*x^3 - 12*x^4 + 6*x^5 + (8*x - 2*x^2)*Log[3])*Log[x]^2 + (-4*x^2 + 4*x^3)*Log[x]^3 + x*Log[x]^4),x]","\frac{16 x^{11} \log (3)-16 x^{10} \log (19683)+4 x^9 (89 \log (3)+38 \log (81)-20 \log (729))-x^8 \left(17 \log ^2(3)+136 \log (3)+300 \log (81)-80 \log (729)\right)+4 x^7 \left(41 \log ^2(3)+\log (3) (\log (81)-30)+86 \log (81)-12 \log (729)\right)+x^6 \left(-73 \log ^2(3)-8 \left(5 \log ^2(81)+\log (81) (33-4 \log (729))-2 \log (729)\right)-4 \log (3) (53 \log (81)-4 (12+\log (729)))\right)+x^5 \left(\log ^3(3)+258 \log ^2(3)+108 \log ^2(81)-4 \log (243)+4 \log (81) (34-4 \log (729))-4 \log (3) (6+17 \log (81)+4 \log (729))\right)+x^4 \left(14 \log ^3(3)-112 \log ^2(81)-\log ^2(3) (228+5 \log (81))+2 \log (3) (50 \log (81)-43)+6 \log (243)+4 \log (81) (4 \log (729)-31)\right)+x^3 \left(-48 \log ^3(3)+(84+\log (9)) \log ^2(81)+6 \log ^2(3) (28+\log (81))+88 \log (81)-24 \log (3) (6 \log (81)-5)-4 \log (243)\right)+x^2 \left(32 \log ^3(3)-64 \log ^2(3)-(32+\log (9)) \log ^2(81)-100 \log (81)+\log (3) (-50+48 \log (81)-\log (243))+\log (59049)\right)+2 \left(x^2-3 x+2\right) x^2 \left(16 x^5 \log (3)-16 x^4 \log (243)+4 x^3 (4 \log (81)+\log (243))-x^2 \left(\log ^2(3)+8 \log (3)+20 \log (81)\right)+9 x \log (81)-4 \log (81)\right) \log (x)+(x-2) x \left(16 x^5 \log (3)-16 x^4 \log (243)+4 x^3 (4 \log (81)+\log (243))-x^2 \left(\log ^2(3)+8 \log (3)+20 \log (81)\right)+9 x \log (81)-4 \log (81)\right) \log ^2(x)+4 x \left(2 \log ^2(81)+10 \log (81)+\log (243)\right)-20 \log (81)}{\left(16 x^5 \log (3)-16 x^4 \log (243)+4 x^3 (4 \log (81)+\log (243))-x^2 \left(\log ^2(3)+8 \log (3)+20 \log (81)\right)+9 x \log (81)-4 \log (81)\right) \left(x^4-2 x^3+x^2+\log ^2(x)+2 (x-1) x \log (x)-x \log (3)+\log (81)\right)}","x^2+\frac{5}{\left(-x^2+x-\log (x)\right)^2+(4-x) \log (3)}-2 x",1,"(16*x^11*Log[3] - 20*Log[81] + x^3*(-48*Log[3]^3 + 88*Log[81] + (84 + Log[9])*Log[81]^2 + 6*Log[3]^2*(28 + Log[81]) - 24*Log[3]*(-5 + 6*Log[81]) - 4*Log[243]) + 4*x*(10*Log[81] + 2*Log[81]^2 + Log[243]) - x^8*(136*Log[3] + 17*Log[3]^2 + 300*Log[81] - 80*Log[729]) + 4*x^9*(89*Log[3] + 38*Log[81] - 20*Log[729]) + 4*x^7*(41*Log[3]^2 + Log[3]*(-30 + Log[81]) + 86*Log[81] - 12*Log[729]) + x^4*(14*Log[3]^3 - 112*Log[81]^2 - Log[3]^2*(228 + 5*Log[81]) + 2*Log[3]*(-43 + 50*Log[81]) + 6*Log[243] + 4*Log[81]*(-31 + 4*Log[729])) + x^5*(258*Log[3]^2 + Log[3]^3 + 108*Log[81]^2 - 4*Log[243] + 4*Log[81]*(34 - 4*Log[729]) - 4*Log[3]*(6 + 17*Log[81] + 4*Log[729])) + x^6*(-73*Log[3]^2 - 8*(5*Log[81]^2 + Log[81]*(33 - 4*Log[729]) - 2*Log[729]) - 4*Log[3]*(53*Log[81] - 4*(12 + Log[729]))) - 16*x^10*Log[19683] + x^2*(-64*Log[3]^2 + 32*Log[3]^3 - 100*Log[81] - (32 + Log[9])*Log[81]^2 + Log[3]*(-50 + 48*Log[81] - Log[243]) + Log[59049]) + 2*x^2*(2 - 3*x + x^2)*(16*x^5*Log[3] - 4*Log[81] + 9*x*Log[81] - x^2*(8*Log[3] + Log[3]^2 + 20*Log[81]) - 16*x^4*Log[243] + 4*x^3*(4*Log[81] + Log[243]))*Log[x] + (-2 + x)*x*(16*x^5*Log[3] - 4*Log[81] + 9*x*Log[81] - x^2*(8*Log[3] + Log[3]^2 + 20*Log[81]) - 16*x^4*Log[243] + 4*x^3*(4*Log[81] + Log[243]))*Log[x]^2)/((16*x^5*Log[3] - 4*Log[81] + 9*x*Log[81] - x^2*(8*Log[3] + Log[3]^2 + 20*Log[81]) - 16*x^4*Log[243] + 4*x^3*(4*Log[81] + Log[243]))*(x^2 - 2*x^3 + x^4 - x*Log[3] + Log[81] + 2*(-1 + x)*x*Log[x] + Log[x]^2))","B",0
6067,1,18,18,0.1528662,"\int \frac{-180+31 x+x^2+\left(-36 x+4 x^2+x^2 \log (x)\right) \log \left(\frac{-36+4 x+x \log (x)}{x}\right)}{\left(180 x-56 x^2+4 x^3+\left(-5 x^2+x^3\right) \log (x)\right) \log \left(\frac{-36+4 x+x \log (x)}{x}\right)} \, dx","Integrate[(-180 + 31*x + x^2 + (-36*x + 4*x^2 + x^2*Log[x])*Log[(-36 + 4*x + x*Log[x])/x])/((180*x - 56*x^2 + 4*x^3 + (-5*x^2 + x^3)*Log[x])*Log[(-36 + 4*x + x*Log[x])/x]),x]","\log (5-x)+\log \left(\log \left(-\frac{36}{x}+\log (x)+4\right)\right)","\log \left(e^{25} (x-5) \log \left(-\frac{36}{x}+\log (x)+4\right)\right)",1,"Log[5 - x] + Log[Log[4 - 36/x + Log[x]]]","A",1
6068,1,29,27,0.2543468,"\int \left(e^{6 x-4 x^2} (6-8 x)+e^{3 x-2 x^2} (66-88 x+(6-8 x) \log (16))\right) \, dx","Integrate[E^(6*x - 4*x^2)*(6 - 8*x) + E^(3*x - 2*x^2)*(66 - 88*x + (6 - 8*x)*Log[16]),x]","e^{(3-4 x) x} \left(2 e^{2 x^2} (11+\log (16))+e^{3 x}\right)","\left(-e^{\left(\frac{3-x}{x}-1\right) x^2}-11-\log (16)\right)^2",1,"E^((3 - 4*x)*x)*(E^(3*x) + 2*E^(2*x^2)*(11 + Log[16]))","A",1
6069,1,52,30,0.7193395,"\int \frac{184 x+e^{x+x^2} \left(-184 x-368 x^2\right)+\exp \left(\frac{1}{16} \left(144-192 x+64 x^2+(-24+16 x) \log (x)+\log ^2(x)\right)\right) \left(-276-2024 x+1472 x^2+(23+184 x) \log (x)\right)}{32 x} \, dx","Integrate[(184*x + E^(x + x^2)*(-184*x - 368*x^2) + E^((144 - 192*x + 64*x^2 + (-24 + 16*x)*Log[x] + Log[x]^2)/16)*(-276 - 2024*x + 1472*x^2 + (23 + 184*x)*Log[x]))/(32*x),x]","\frac{23}{32} \left(-8 e^{x^2+x}+8 x^{\frac{1}{2} (2 x-5)+1} e^{4 x^2-12 x+\frac{\log ^2(x)}{16}+9}+8 x\right)","\frac{23}{4} \left(x-e^{x (x+1)}+e^{\left(2 x+\frac{\log (x)}{4}-3\right)^2}\right)",1,"(23*(-8*E^(x + x^2) + 8*x + 8*E^(9 - 12*x + 4*x^2 + Log[x]^2/16)*x^(1 + (-5 + 2*x)/2)))/32","A",1
6070,1,23,18,0.013196,"\int \left(-3-4 x+e^{e^x} \left(-1-e^x x\right)+\log \left(x^3\right)\right) \, dx","Integrate[-3 - 4*x + E^E^x*(-1 - E^x*x) + Log[x^3],x]","x \log \left(x^3\right)-2 x^2-e^{e^x} x-6 x","x \left(\log \left(x^3\right)-2 x-e^{e^x}-6\right)",1,"-6*x - E^E^x*x - 2*x^2 + x*Log[x^3]","A",1
6071,1,24,24,0.1499761,"\int \frac{75 x^2-3 x^3+\left(75 x^2+e^x \left(1250-100 x+2 x^2\right)\right) \log (x)+e^x \left(-625+675 x-51 x^2+x^3\right) \log ^2(x)}{1875 x^2-150 x^3+3 x^4} \, dx","Integrate[(75*x^2 - 3*x^3 + (75*x^2 + E^x*(1250 - 100*x + 2*x^2))*Log[x] + E^x*(-625 + 675*x - 51*x^2 + x^3)*Log[x]^2)/(1875*x^2 - 150*x^3 + 3*x^4),x]","\frac{1}{3} \log (x) \left(\frac{e^x \log (x)}{x}-\frac{3 x}{x-25}\right)","\log (x) \left(\frac{e^x \log (x)}{3 x}-\frac{x}{x-25}\right)",1,"(Log[x]*((-3*x)/(-25 + x) + (E^x*Log[x])/x))/3","A",1
6072,1,30,33,0.0707033,"\int \frac{-12-2 x+12 x^2-3 x^3-3 x^4+\left(2 x+2 x^2\right) \log (2)+\left(-2 x-2 x^2\right) \log (1+x)}{x^3+x^4} \, dx","Integrate[(-12 - 2*x + 12*x^2 - 3*x^3 - 3*x^4 + (2*x + 2*x^2)*Log[2] + (-2*x - 2*x^2)*Log[1 + x])/(x^3 + x^4),x]","\frac{6}{x^2}-3 x-\frac{10}{x}+\frac{2 \log (x+1)}{x}-\frac{2 \log (2)}{x}","\frac{-x^2+2 \left(-x^2+\frac{3}{x}+\log (x+1)-5-\log (2)\right)+x}{x}",1,"6/x^2 - 10/x - 3*x - (2*Log[2])/x + (2*Log[1 + x])/x","A",1
6073,1,49,30,0.2395,"\int \frac{-60+x-x^2+72 \log (x)-6 \log ^2(x)+e^{e^{4 x^2}} \left(22+e^{4 x^2} \left(-160 x^2+8 x^3\right)+\left(-2+16 e^{4 x^2} x^2\right) \log (x)\right)}{2 x^2} \, dx","Integrate[(-60 + x - x^2 + 72*Log[x] - 6*Log[x]^2 + E^E^(4*x^2)*(22 + E^(4*x^2)*(-160*x^2 + 8*x^3) + (-2 + 16*E^(4*x^2)*x^2)*Log[x]))/(2*x^2),x]","\frac{-x^2+e^{e^{4 x^2}} (x-20)+\left(2 e^{e^{4 x^2}}+x-60\right) \log (x)+6 \log ^2(x)}{2 x}","\frac{\left(\frac{x}{2}+\log (x)-10\right) \left(e^{e^{4 x^2}}-x+3 \log (x)\right)}{x}",1,"(E^E^(4*x^2)*(-20 + x) - x^2 + (-60 + 2*E^E^(4*x^2) + x)*Log[x] + 6*Log[x]^2)/(2*x)","A",1
6074,1,22,22,0.0042446,"\int \frac{-5+x^2+4 x^5+e^9 \left(x^2+2 x^3\right)}{x^2} \, dx","Integrate[(-5 + x^2 + 4*x^5 + E^9*(x^2 + 2*x^3))/x^2,x]","x^4+e^9 x^2+e^9 x+x+\frac{5}{x}","x^4-e^9 (-x-1) x+x+\frac{5}{x}+5",1,"5/x + x + E^9*x + E^9*x^2 + x^4","A",1
6075,1,242,29,0.8249903,"\int \frac{10251562500+655560624846 x+956153602500 x^2+537220650631 x^3+421106423750 x^4+300666345007 x^5+66719025000 x^6+19129907088 x^7+11418525000 x^8+2315325870 x^9+309318750 x^{10}+199763982 x^{11}+32805000 x^{12}+1653372 x^{13}+1822500 x^{14}+157464 x^{15}+6561 x^{17}+\left(10251562500+105583541256 x+50497830000 x^2+249324860016 x^3+101333160000 x^4+109725878352 x^5+54772425000 x^6+19766210568 x^7+9979237500 x^8+3136702320 x^9+576450000 x^{10}+279578952 x^{11}+65610000 x^{12}+4408992 x^{13}+3645000 x^{14}+419904 x^{15}+17496 x^{17}\right) \log (x)+\left(3417187500+13317516882 x+23856525000 x^2+45764940852 x^3+33720862500 x^4+27268993494 x^5+16890562500 x^6+8088703996 x^7+3671500000 x^8+1634486040 x^9+452250000 x^{10}+157425444 x^{11}+54675000 x^{12}+5143824 x^{13}+3037500 x^{14}+489888 x^{15}+20412 x^{17}\right) \log ^2(x)+\left(379687500+89282088 x+5287275000 x^2+2516210568 x^3+6271425000 x^4+3315266496 x^5+3215250000 x^6+1703927664 x^7+958687500 x^8+414657360 x^9+191625000 x^{10}+48700296 x^{11}+24300000 x^{12}+3429216 x^{13}+1350000 x^{14}+326592 x^{15}+13608 x^{17}\right) \log ^3(x)+\left(37200870 x+562443750 x^2+289046070 x^3+829575000 x^4+368861040 x^5+536625000 x^6+203719860 x^7+201000000 x^8+60273900 x^9+46343750 x^{10}+10916790 x^{11}+6075000 x^{12}+1428840 x^{13}+337500 x^{14}+136080 x^{15}+5670 x^{17}\right) \log ^4(x)+\left(9920232 x+32805000 x^2+26453952 x^3+65610000 x^4+30862944 x^5+54675000 x^6+20575296 x^7+24300000 x^8+8573040 x^9+6075000 x^{10}+2286144 x^{11}+810000 x^{12}+381024 x^{13}+45000 x^{14}+36288 x^{15}+1512 x^{17}\right) \log ^5(x)+\left(1653372 x+1822500 x^2+4408992 x^3+3645000 x^4+5143824 x^5+3037500 x^6+3429216 x^7+1350000 x^8+1428840 x^9+337500 x^{10}+381024 x^{11}+45000 x^{12}+63504 x^{13}+2500 x^{14}+6048 x^{15}+252 x^{17}\right) \log ^6(x)+\left(157464 x+419904 x^3+489888 x^5+326592 x^7+136080 x^9+36288 x^{11}+6048 x^{13}+576 x^{15}+24 x^{17}\right) \log ^7(x)+\left(6561 x+17496 x^3+20412 x^5+13608 x^7+5670 x^9+1512 x^{11}+252 x^{13}+24 x^{15}+x^{17}\right) \log ^8(x)}{43046721 x+6454383750 x^2+247181588131 x^3+393768923750 x^4+225959313757 x^5+58365900000 x^6+19129907088 x^7+10532587500 x^8+2315325870 x^9+309318750 x^{10}+199763982 x^{11}+32805000 x^{12}+1653372 x^{13}+1822500 x^{14}+157464 x^{15}+6561 x^{17}+\left(114791256 x+9491580000 x^2+73543610016 x^3+67161285000 x^4+62850878352 x^5+44141175000 x^6+19766210568 x^7+8840175000 x^8+3136702320 x^9+576450000 x^{10}+279578952 x^{11}+65610000 x^{12}+4408992 x^{13}+3645000 x^{14}+419904 x^{15}+17496 x^{17}\right) \log (x)+\left(133923132 x+5631525000 x^2+19397753352 x^3+17773987500 x^4+19944774744 x^5+11828062500 x^6+8088703996 x^7+3123062500 x^8+1634486040 x^9+452250000 x^{10}+157425444 x^{11}+54675000 x^{12}+5143824 x^{13}+3037500 x^{14}+489888 x^{15}+20412 x^{17}\right) \log ^2(x)+\left(89282088 x+1743525000 x^2+2516210568 x^3+2980800000 x^4+3315266496 x^5+2146500000 x^6+1703927664 x^7+841500000 x^8+414657360 x^9+191625000 x^{10}+48700296 x^{11}+24300000 x^{12}+3429216 x^{13}+1350000 x^{14}+326592 x^{15}+13608 x^{17}\right) \log ^3(x)+\left(37200870 x+309318750 x^2+289046070 x^3+576450000 x^4+368861040 x^5+452250000 x^6+203719860 x^7+191625000 x^8+60273900 x^9+46343750 x^{10}+10916790 x^{11}+6075000 x^{12}+1428840 x^{13}+337500 x^{14}+136080 x^{15}+5670 x^{17}\right) \log ^4(x)+\left(9920232 x+32805000 x^2+26453952 x^3+65610000 x^4+30862944 x^5+54675000 x^6+20575296 x^7+24300000 x^8+8573040 x^9+6075000 x^{10}+2286144 x^{11}+810000 x^{12}+381024 x^{13}+45000 x^{14}+36288 x^{15}+1512 x^{17}\right) \log ^5(x)+\left(1653372 x+1822500 x^2+4408992 x^3+3645000 x^4+5143824 x^5+3037500 x^6+3429216 x^7+1350000 x^8+1428840 x^9+337500 x^{10}+381024 x^{11}+45000 x^{12}+63504 x^{13}+2500 x^{14}+6048 x^{15}+252 x^{17}\right) \log ^6(x)+\left(157464 x+419904 x^3+489888 x^5+326592 x^7+136080 x^9+36288 x^{11}+6048 x^{13}+576 x^{15}+24 x^{17}\right) \log ^7(x)+\left(6561 x+17496 x^3+20412 x^5+13608 x^7+5670 x^9+1512 x^{11}+252 x^{13}+24 x^{15}+x^{17}\right) \log ^8(x)} \, dx","Integrate[(10251562500 + 655560624846*x + 956153602500*x^2 + 537220650631*x^3 + 421106423750*x^4 + 300666345007*x^5 + 66719025000*x^6 + 19129907088*x^7 + 11418525000*x^8 + 2315325870*x^9 + 309318750*x^10 + 199763982*x^11 + 32805000*x^12 + 1653372*x^13 + 1822500*x^14 + 157464*x^15 + 6561*x^17 + (10251562500 + 105583541256*x + 50497830000*x^2 + 249324860016*x^3 + 101333160000*x^4 + 109725878352*x^5 + 54772425000*x^6 + 19766210568*x^7 + 9979237500*x^8 + 3136702320*x^9 + 576450000*x^10 + 279578952*x^11 + 65610000*x^12 + 4408992*x^13 + 3645000*x^14 + 419904*x^15 + 17496*x^17)*Log[x] + (3417187500 + 13317516882*x + 23856525000*x^2 + 45764940852*x^3 + 33720862500*x^4 + 27268993494*x^5 + 16890562500*x^6 + 8088703996*x^7 + 3671500000*x^8 + 1634486040*x^9 + 452250000*x^10 + 157425444*x^11 + 54675000*x^12 + 5143824*x^13 + 3037500*x^14 + 489888*x^15 + 20412*x^17)*Log[x]^2 + (379687500 + 89282088*x + 5287275000*x^2 + 2516210568*x^3 + 6271425000*x^4 + 3315266496*x^5 + 3215250000*x^6 + 1703927664*x^7 + 958687500*x^8 + 414657360*x^9 + 191625000*x^10 + 48700296*x^11 + 24300000*x^12 + 3429216*x^13 + 1350000*x^14 + 326592*x^15 + 13608*x^17)*Log[x]^3 + (37200870*x + 562443750*x^2 + 289046070*x^3 + 829575000*x^4 + 368861040*x^5 + 536625000*x^6 + 203719860*x^7 + 201000000*x^8 + 60273900*x^9 + 46343750*x^10 + 10916790*x^11 + 6075000*x^12 + 1428840*x^13 + 337500*x^14 + 136080*x^15 + 5670*x^17)*Log[x]^4 + (9920232*x + 32805000*x^2 + 26453952*x^3 + 65610000*x^4 + 30862944*x^5 + 54675000*x^6 + 20575296*x^7 + 24300000*x^8 + 8573040*x^9 + 6075000*x^10 + 2286144*x^11 + 810000*x^12 + 381024*x^13 + 45000*x^14 + 36288*x^15 + 1512*x^17)*Log[x]^5 + (1653372*x + 1822500*x^2 + 4408992*x^3 + 3645000*x^4 + 5143824*x^5 + 3037500*x^6 + 3429216*x^7 + 1350000*x^8 + 1428840*x^9 + 337500*x^10 + 381024*x^11 + 45000*x^12 + 63504*x^13 + 2500*x^14 + 6048*x^15 + 252*x^17)*Log[x]^6 + (157464*x + 419904*x^3 + 489888*x^5 + 326592*x^7 + 136080*x^9 + 36288*x^11 + 6048*x^13 + 576*x^15 + 24*x^17)*Log[x]^7 + (6561*x + 17496*x^3 + 20412*x^5 + 13608*x^7 + 5670*x^9 + 1512*x^11 + 252*x^13 + 24*x^15 + x^17)*Log[x]^8)/(43046721*x + 6454383750*x^2 + 247181588131*x^3 + 393768923750*x^4 + 225959313757*x^5 + 58365900000*x^6 + 19129907088*x^7 + 10532587500*x^8 + 2315325870*x^9 + 309318750*x^10 + 199763982*x^11 + 32805000*x^12 + 1653372*x^13 + 1822500*x^14 + 157464*x^15 + 6561*x^17 + (114791256*x + 9491580000*x^2 + 73543610016*x^3 + 67161285000*x^4 + 62850878352*x^5 + 44141175000*x^6 + 19766210568*x^7 + 8840175000*x^8 + 3136702320*x^9 + 576450000*x^10 + 279578952*x^11 + 65610000*x^12 + 4408992*x^13 + 3645000*x^14 + 419904*x^15 + 17496*x^17)*Log[x] + (133923132*x + 5631525000*x^2 + 19397753352*x^3 + 17773987500*x^4 + 19944774744*x^5 + 11828062500*x^6 + 8088703996*x^7 + 3123062500*x^8 + 1634486040*x^9 + 452250000*x^10 + 157425444*x^11 + 54675000*x^12 + 5143824*x^13 + 3037500*x^14 + 489888*x^15 + 20412*x^17)*Log[x]^2 + (89282088*x + 1743525000*x^2 + 2516210568*x^3 + 2980800000*x^4 + 3315266496*x^5 + 2146500000*x^6 + 1703927664*x^7 + 841500000*x^8 + 414657360*x^9 + 191625000*x^10 + 48700296*x^11 + 24300000*x^12 + 3429216*x^13 + 1350000*x^14 + 326592*x^15 + 13608*x^17)*Log[x]^3 + (37200870*x + 309318750*x^2 + 289046070*x^3 + 576450000*x^4 + 368861040*x^5 + 452250000*x^6 + 203719860*x^7 + 191625000*x^8 + 60273900*x^9 + 46343750*x^10 + 10916790*x^11 + 6075000*x^12 + 1428840*x^13 + 337500*x^14 + 136080*x^15 + 5670*x^17)*Log[x]^4 + (9920232*x + 32805000*x^2 + 26453952*x^3 + 65610000*x^4 + 30862944*x^5 + 54675000*x^6 + 20575296*x^7 + 24300000*x^8 + 8573040*x^9 + 6075000*x^10 + 2286144*x^11 + 810000*x^12 + 381024*x^13 + 45000*x^14 + 36288*x^15 + 1512*x^17)*Log[x]^5 + (1653372*x + 1822500*x^2 + 4408992*x^3 + 3645000*x^4 + 5143824*x^5 + 3037500*x^6 + 3429216*x^7 + 1350000*x^8 + 1428840*x^9 + 337500*x^10 + 381024*x^11 + 45000*x^12 + 63504*x^13 + 2500*x^14 + 6048*x^15 + 252*x^17)*Log[x]^6 + (157464*x + 419904*x^3 + 489888*x^5 + 326592*x^7 + 136080*x^9 + 36288*x^11 + 6048*x^13 + 576*x^15 + 24*x^17)*Log[x]^7 + (6561*x + 17496*x^3 + 20412*x^5 + 13608*x^7 + 5670*x^9 + 1512*x^11 + 252*x^13 + 24*x^15 + x^17)*Log[x]^8),x]","x-\frac{1171875}{81 x^8+x^8 \log ^4(x)+12 x^8 \log ^3(x)+54 x^8 \log ^2(x)+108 x^8 \log (x)+972 x^6+12 x^6 \log ^4(x)+144 x^6 \log ^3(x)+648 x^6 \log ^2(x)+1296 x^6 \log (x)+11250 x^5+1250 x^5 \log ^2(x)+7500 x^5 \log (x)+4374 x^4+54 x^4 \log ^4(x)+648 x^4 \log ^3(x)+2916 x^4 \log ^2(x)+5832 x^4 \log (x)+67500 x^3+7500 x^3 \log ^2(x)+45000 x^3 \log (x)+399373 x^2+108 x^2 \log ^4(x)+1296 x^2 \log ^3(x)+5832 x^2 \log ^2(x)+11664 x^2 \log (x)+491875 x+81 \log ^4(x)+972 \log ^3(x)+11250 x \log ^2(x)+4374 \log ^2(x)+67500 x \log (x)+8748 \log (x)+6561}","x-\frac{3}{\left(\frac{1}{625} \left(x^2+3\right)^2 (\log (x)+3)^2+x\right)^2+x}",1,"x - 1171875/(6561 + 491875*x + 399373*x^2 + 67500*x^3 + 4374*x^4 + 11250*x^5 + 972*x^6 + 81*x^8 + 8748*Log[x] + 67500*x*Log[x] + 11664*x^2*Log[x] + 45000*x^3*Log[x] + 5832*x^4*Log[x] + 7500*x^5*Log[x] + 1296*x^6*Log[x] + 108*x^8*Log[x] + 4374*Log[x]^2 + 11250*x*Log[x]^2 + 5832*x^2*Log[x]^2 + 7500*x^3*Log[x]^2 + 2916*x^4*Log[x]^2 + 1250*x^5*Log[x]^2 + 648*x^6*Log[x]^2 + 54*x^8*Log[x]^2 + 972*Log[x]^3 + 1296*x^2*Log[x]^3 + 648*x^4*Log[x]^3 + 144*x^6*Log[x]^3 + 12*x^8*Log[x]^3 + 81*Log[x]^4 + 108*x^2*Log[x]^4 + 54*x^4*Log[x]^4 + 12*x^6*Log[x]^4 + x^8*Log[x]^4)","B",1
6076,1,15,19,0.0012531,"\int \frac{-5-8 x^3}{8 x^2} \, dx","Integrate[(-5 - 8*x^3)/(8*x^2),x]","\frac{5}{8 x}-\frac{x^2}{2}","\frac{1}{2} \left(-x^2+\frac{5}{4 x}+\log (2)\right)",1,"5/(8*x) - x^2/2","A",1
6077,1,18,21,0.0805585,"\int \left(-2+e^{4+2 x-e^{2 x} x} (2+4 x)\right) \, dx","Integrate[-2 + E^(4 + 2*x - E^(2*x)*x)*(2 + 4*x),x]","-2 x-2 e^{4-e^{2 x} x}","-2 \left(x+e^{4-e^{2 x} x}\right)-10 \log (4)",1,"-2*E^(4 - E^(2*x)*x) - 2*x","A",1
6078,1,8,8,0.0000804,"\int \frac{4 x^3}{\log ^2(2)} \, dx","Integrate[(4*x^3)/Log[2]^2,x]","\frac{x^4}{\log ^2(2)}","\frac{x^4}{\log ^2(2)}",1,"x^4/Log[2]^2","A",1
6079,1,30,30,0.2866536,"\int \frac{-x+\log (\log (5))+\exp \left(e^{e^{3+e^x}+\log ^2\left(\frac{-x+\log (\log (5))}{\log (\log (5))}\right)}\right) \left(x-\log (\log (5))+e^{e^{3+e^x}+\log ^2\left(\frac{-x+\log (\log (5))}{\log (\log (5))}\right)} \left(e^{3+e^x} \left(e^x x^2-e^x x \log (\log (5))\right)+2 x \log \left(\frac{-x+\log (\log (5))}{\log (\log (5))}\right)\right)\right)}{-x+\log (\log (5))} \, dx","Integrate[(-x + Log[Log[5]] + E^E^(E^(3 + E^x) + Log[(-x + Log[Log[5]])/Log[Log[5]]]^2)*(x - Log[Log[5]] + E^(E^(3 + E^x) + Log[(-x + Log[Log[5]])/Log[Log[5]]]^2)*(E^(3 + E^x)*(E^x*x^2 - E^x*x*Log[Log[5]]) + 2*x*Log[(-x + Log[Log[5]])/Log[Log[5]]])))/(-x + Log[Log[5]]),x]","x-x e^{e^{e^{e^x+3}+\log ^2\left(1-\frac{x}{\log (\log (5))}\right)}}","x-x e^{e^{e^{e^x+3}+\log ^2\left(1-\frac{x}{\log (\log (5))}\right)}}",1,"x - E^E^(E^(3 + E^x) + Log[1 - x/Log[Log[5]]]^2)*x","A",1
6080,1,49,27,0.0514038,"\int \frac{-256 x-128 x^2+\left(256+128 x-352 x^2-128 x^3-8 x^4\right) \log (x)+\left(-256+640 x+672 x^2+176 x^3+16 x^4\right) \log ^2(x)+\left(-384-64 x+624 x^2+560 x^3+184 x^4+24 x^5+x^6\right) \log ^3(x)}{\left(32+48 x+24 x^2+4 x^3\right) \log ^3(x)} \, dx","Integrate[(-256*x - 128*x^2 + (256 + 128*x - 352*x^2 - 128*x^3 - 8*x^4)*Log[x] + (-256 + 640*x + 672*x^2 + 176*x^3 + 16*x^4)*Log[x]^2 + (-384 - 64*x + 624*x^2 + 560*x^3 + 184*x^4 + 24*x^5 + x^6)*Log[x]^3)/((32 + 48*x + 24*x^2 + 4*x^3)*Log[x]^3),x]","\frac{1}{16} x \left(x^3+24 x^2+\frac{32 \left(x^2+12 x-8\right)}{(x+2) \log (x)}+128 x+\frac{256 x}{(x+2)^2 \log ^2(x)}-192\right)","\left(-3 x-\left(x \left(\frac{x}{4}+\frac{4}{(x+2) \log (x)}\right)\right)+2\right)^2",1,"(x*(-192 + 128*x + 24*x^2 + x^3 + (256*x)/((2 + x)^2*Log[x]^2) + (32*(-8 + 12*x + x^2))/((2 + x)*Log[x])))/16","A",1
6081,1,20,21,0.0500697,"\int \frac{1}{16} \left(192+768 x+576 x^2+e^{8+4 x} (3+12 x)+e^{4+2 x} \left(-48-192 x-96 x^2\right)\right) \, dx","Integrate[(192 + 768*x + 576*x^2 + E^(8 + 4*x)*(3 + 12*x) + E^(4 + 2*x)*(-48 - 192*x - 96*x^2))/16,x]","\frac{3}{16} x \left(e^{2 x+4}-8 (x+1)\right)^2","3 \left(-2 x+\frac{1}{4} e^{2 x+4}-2\right)^2 x",1,"(3*x*(E^(4 + 2*x) - 8*(1 + x))^2)/16","A",1
6082,1,31,21,0.0260149,"\int \frac{1}{2} \left(-4+20 x+36 x^2+8 x^3+e^x \left(5+7 x+x^2\right)\right) \, dx","Integrate[(-4 + 20*x + 36*x^2 + 8*x^3 + E^x*(5 + 7*x + x^2))/2,x]","x^4+6 x^3+5 x^2+\frac{1}{2} e^x \left(x^2+5 x\right)-2 x","(x+5) \left((x+1) x^2+\frac{e^x x}{2}-2\right)",1,"-2*x + 5*x^2 + 6*x^3 + x^4 + (E^x*(5*x + x^2))/2","A",1
6083,1,41,38,0.299569,"\int \frac{4 x+6 x^2-4 x^3+\left(-2 x+x^2\right) \log (2)+e^x \left(6 x-x^2-x^3\right) \log (2)+\left(4 x+4 x^2+(-4-2 x) \log (2)+e^x (4+2 x) \log (2)\right) \log \left(\frac{4}{2 x+2 x^2+(-2-x) \log (2)+e^x (2+x) \log (2)}\right) \log \left(\log \left(\frac{4}{2 x+2 x^2+(-2-x) \log (2)+e^x (2+x) \log (2)}\right)\right)}{\left(8 x-6 x^3+2 x^4+\left(-8+4 x+2 x^2-x^3\right) \log (2)+e^x \left(8-4 x-2 x^2+x^3\right) \log (2)\right) \log \left(\frac{4}{2 x+2 x^2+(-2-x) \log (2)+e^x (2+x) \log (2)}\right) \log ^2\left(\log \left(\frac{4}{2 x+2 x^2+(-2-x) \log (2)+e^x (2+x) \log (2)}\right)\right)} \, dx","Integrate[(4*x + 6*x^2 - 4*x^3 + (-2*x + x^2)*Log[2] + E^x*(6*x - x^2 - x^3)*Log[2] + (4*x + 4*x^2 + (-4 - 2*x)*Log[2] + E^x*(4 + 2*x)*Log[2])*Log[4/(2*x + 2*x^2 + (-2 - x)*Log[2] + E^x*(2 + x)*Log[2])]*Log[Log[4/(2*x + 2*x^2 + (-2 - x)*Log[2] + E^x*(2 + x)*Log[2])]])/((8*x - 6*x^3 + 2*x^4 + (-8 + 4*x + 2*x^2 - x^3)*Log[2] + E^x*(8 - 4*x - 2*x^2 + x^3)*Log[2])*Log[4/(2*x + 2*x^2 + (-2 - x)*Log[2] + E^x*(2 + x)*Log[2])]*Log[Log[4/(2*x + 2*x^2 + (-2 - x)*Log[2] + E^x*(2 + x)*Log[2])]]^2),x]","-\frac{x}{(x-2) \log \left(\log \left(\frac{4}{2 x^2+2 x+e^x (x+2) \log (2)-(x+2) \log (2)}\right)\right)}","\frac{x}{(2-x) \log \left(\log \left(\frac{4}{x^2+(x+2) \left(x-\left(1-e^x\right) \log (2)\right)}\right)\right)}",1,"-(x/((-2 + x)*Log[Log[4/(2*x + 2*x^2 - (2 + x)*Log[2] + E^x*(2 + x)*Log[2])]]))","A",1
6084,1,26,25,0.0364478,"\int \frac{-45+6 e^4-6 e^{1+x}}{-16 e^3+16 e^{3+3 x}+360 e^2 x-2700 e x^2+6750 x^3-16 e^{12} x^3+e^{2 x} \left(-48 e^3+360 e^2 x-48 e^6 x\right)+e^4 \left(-48 e^2 x+720 e x^2-2700 x^3\right)+e^8 \left(-48 e x^2+360 x^3\right)+e^x \left(48 e^3-720 e^2 x+2700 e x^2+48 e^9 x^2+e^4 \left(96 e^2 x-720 e x^2\right)\right)} \, dx","Integrate[(-45 + 6*E^4 - 6*E^(1 + x))/(-16*E^3 + 16*E^(3 + 3*x) + 360*E^2*x - 2700*E*x^2 + 6750*x^3 - 16*E^12*x^3 + E^(2*x)*(-48*E^3 + 360*E^2*x - 48*E^6*x) + E^4*(-48*E^2*x + 720*E*x^2 - 2700*x^3) + E^8*(-48*E*x^2 + 360*x^3) + E^x*(48*E^3 - 720*E^2*x + 2700*E*x^2 + 48*E^9*x^2 + E^4*(96*E^2*x - 720*E*x^2))),x]","\frac{3}{4 \left(\left(2 e^4-15\right) x-2 e^{x+1}+2 e\right)^2}","\frac{3}{\left(4 e \left(1-e^x\right)+4 \left(e^4-\frac{15}{2}\right) x\right)^2}",1,"3/(4*(2*E - 2*E^(1 + x) + (-15 + 2*E^4)*x)^2)","A",1
6085,1,21,22,0.0115752,"\int \frac{4+i \pi -9 x+2 x^2+\log (3)}{-4+x} \, dx","Integrate[(4 + I*Pi - 9*x + 2*x^2 + Log[3])/(-4 + x),x]","x^2-x+(\log (3)+i \pi ) \log (x-4)-12","x^2-x+(\log (3)+i \pi ) \log (4-x)",1,"-12 - x + x^2 + (I*Pi + Log[3])*Log[-4 + x]","A",1
6086,1,63,36,0.1752911,"\int \frac{75 x+60 x^2+39 x^3-693 x^4+90 x^5+45 x^6+e^{2 x} \left(225 x^2+420 x^3-75 x^4-30 x^5\right)+\left(225-30 x-15 x^2\right) \log (3-x)+\left(225 x^2-30 x^3-15 x^4\right) \log (5+x)}{-75 x^2+10 x^3+5 x^4} \, dx","Integrate[(75*x + 60*x^2 + 39*x^3 - 693*x^4 + 90*x^5 + 45*x^6 + E^(2*x)*(225*x^2 + 420*x^3 - 75*x^4 - 30*x^5) + (225 - 30*x - 15*x^2)*Log[3 - x] + (225*x^2 - 30*x^3 - 15*x^4)*Log[5 + x])/(-75*x^2 + 10*x^3 + 5*x^4),x]","\frac{3}{5} \left(5 x^3-5 e^{2 x} x-x-5 x \log (x+5)+\frac{5 \log (3-x)}{x}\right)+\frac{3}{5} \left(\frac{5}{3} \log (3-x)-\frac{5}{3} \log (x-3)\right)","3 \left(-\left(x \left(-x^2+e^{2 x}+\log (x+5)\right)\right)-\frac{x}{5}+\frac{\log (3-x)}{x}\right)",1,"(3*((5*Log[3 - x])/3 - (5*Log[-3 + x])/3))/5 + (3*(-x - 5*E^(2*x)*x + 5*x^3 + (5*Log[3 - x])/x - 5*x*Log[5 + x]))/5","A",1
6087,1,58,16,0.0000785,"\int \frac{-2+8 \log (5)-16 \log ^2(5)}{1-8 \log (5)+16 \log ^2(5)} \, dx","Integrate[(-2 + 8*Log[5] - 16*Log[5]^2)/(1 - 8*Log[5] + 16*Log[5]^2),x]","-\frac{16 x \log ^2(5)}{1+16 \log ^2(5)-8 \log (5)}+\frac{8 x \log (5)}{1+16 \log ^2(5)-8 \log (5)}-\frac{2 x}{1+16 \log ^2(5)-8 \log (5)}","-x-\frac{x}{(1-4 \log (5))^2}+6",1,"(-2*x)/(1 - 8*Log[5] + 16*Log[5]^2) + (8*x*Log[5])/(1 - 8*Log[5] + 16*Log[5]^2) - (16*x*Log[5]^2)/(1 - 8*Log[5] + 16*Log[5]^2)","B",1
6088,1,37,27,0.00518,"\int \frac{-4+5 x^2+8 x^3-3 x^4-4 x^5+\left(4+x^2\right) \log (4 x)}{4 x^2} \, dx","Integrate[(-4 + 5*x^2 + 8*x^3 - 3*x^4 - 4*x^5 + (4 + x^2)*Log[4*x])/(4*x^2),x]","-\frac{x^4}{4}-\frac{x^3}{4}+x^2+x+\frac{1}{4} x \log (4 x)-\frac{\log (4 x)}{x}","\left(1-\frac{x^2}{4}\right) \left(x-\frac{\log (4 x)-x^3}{x}\right)",1,"x + x^2 - x^3/4 - x^4/4 - Log[4*x]/x + (x*Log[4*x])/4","A",1
6089,1,23,23,0.073692,"\int \frac{1}{9} e^{3^{e^{-x} x}} \left(e^x \left(2 x+4 x^2+x^3\right)+3^{e^{-x} x} \left(x^2-x^4\right) \log (3)\right) \, dx","Integrate[(E^3^(x/E^x)*(E^x*(2*x + 4*x^2 + x^3) + 3^(x/E^x)*(x^2 - x^4)*Log[3]))/9,x]","\frac{1}{9} e^{x+3^{e^{-x} x}} x^2 (x+1)","\frac{1}{9} e^{x+3^{e^{-x} x}} x^2 (x+1)",1,"(E^(3^(x/E^x) + x)*x^2*(1 + x))/9","A",1
6090,1,40,30,0.1099734,"\int \frac{e^{8+e^{12}} \left(-3+9 x-3 x^2\right)+e^8 \left(-3+12 x-3 x^2\right)+e^4 \left(-6 x+2 x^2\right)+e^8 \left(3 x-x^2\right) \log (-3+x)+e^8 \left(-3 x+x^2\right) \log (x)}{-12 x+4 x^2+e^4 \left(36 x^2-12 x^3\right)+e^8 \left(-27 x^3+9 x^4\right)+\left(e^4 \left(12 x-4 x^2\right)+e^8 \left(-18 x^2+6 x^3\right)\right) \log (-3+x)+e^8 \left(-3 x+x^2\right) \log ^2(-3+x)+\left(e^4 \left(-12 x+4 x^2\right)+e^8 \left(18 x^2-6 x^3\right)+e^8 \left(6 x-2 x^2\right) \log (-3+x)\right) \log (x)+e^8 \left(-3 x+x^2\right) \log ^2(x)} \, dx","Integrate[(E^(8 + E^12)*(-3 + 9*x - 3*x^2) + E^8*(-3 + 12*x - 3*x^2) + E^4*(-6*x + 2*x^2) + E^8*(3*x - x^2)*Log[-3 + x] + E^8*(-3*x + x^2)*Log[x])/(-12*x + 4*x^2 + E^4*(36*x^2 - 12*x^3) + E^8*(-27*x^3 + 9*x^4) + (E^4*(12*x - 4*x^2) + E^8*(-18*x^2 + 6*x^3))*Log[-3 + x] + E^8*(-3*x + x^2)*Log[-3 + x]^2 + (E^4*(-12*x + 4*x^2) + E^8*(18*x^2 - 6*x^3) + E^8*(6*x - 2*x^2)*Log[-3 + x])*Log[x] + E^8*(-3*x + x^2)*Log[x]^2),x]","-\frac{e^4 \left(-x+e^{e^{12}}+1\right)}{-3 e^4 x-e^4 \log (x-3)+e^4 \log (x)+2}","\frac{-x+e^{e^{12}}+1}{3 x+\log (x-3)-\log (x)-\frac{2}{e^4}}",1,"-((E^4*(1 + E^E^12 - x))/(2 - 3*E^4*x - E^4*Log[-3 + x] + E^4*Log[x]))","A",1
6091,1,41,32,0.0990331,"\int \frac{64+44 x-52 x^2-87 x^3+33 x^4+35 x^5-10 x^6-4 x^7+x^8+\left(-64+20 x+32 x^2-9 x^3-4 x^4+x^5\right) \log \left(\frac{-16+5 x+4 x^2-x^3}{-4+x^2}\right)+\log (x) \left(-128+60 x+64 x^2-25 x^3-8 x^4+3 x^5+\left(128-40 x-64 x^2+18 x^3+8 x^4-2 x^5\right) \log \left(\frac{-16+5 x+4 x^2-x^3}{-4+x^2}\right)\right)}{-64 x^3+20 x^4+32 x^5-9 x^6-4 x^7+x^8} \, dx","Integrate[(64 + 44*x - 52*x^2 - 87*x^3 + 33*x^4 + 35*x^5 - 10*x^6 - 4*x^7 + x^8 + (-64 + 20*x + 32*x^2 - 9*x^3 - 4*x^4 + x^5)*Log[(-16 + 5*x + 4*x^2 - x^3)/(-4 + x^2)] + Log[x]*(-128 + 60*x + 64*x^2 - 25*x^3 - 8*x^4 + 3*x^5 + (128 - 40*x - 64*x^2 + 18*x^3 + 8*x^4 - 2*x^5)*Log[(-16 + 5*x + 4*x^2 - x^3)/(-4 + x^2)]))/(-64*x^3 + 20*x^4 + 32*x^5 - 9*x^6 - 4*x^7 + x^8),x]","-\frac{\log (x)}{x^2}+\frac{\log (x) \log \left(-\frac{x^3-4 x^2-5 x+16}{x^2-4}\right)}{x^2}+x+\frac{1}{x}","-\frac{\log (x) \left(1-\log \left(\frac{x}{x^2-4}-x+4\right)\right)}{x^2}+x+\frac{1}{x}+2",1,"x^(-1) + x - Log[x]/x^2 + (Log[x]*Log[-((16 - 5*x - 4*x^2 + x^3)/(-4 + x^2))])/x^2","A",1
6092,1,15,17,0.2324434,"\int \frac{81+e^{e^x} \left(16+e^x (81-16 x)\right)}{e^{2 e^x}+2 e^{e^x} x+x^2} \, dx","Integrate[(81 + E^E^x*(16 + E^x*(81 - 16*x)))/(E^(2*E^x) + 2*E^E^x*x + x^2),x]","\frac{16 x-81}{x+e^{e^x}}","\frac{16 x-81}{x+e^{e^x}}+2",1,"(-81 + 16*x)/(E^E^x + x)","A",1
6093,1,19,17,0.0594638,"\int \frac{-1+e^2-3 x+\left(-1+e^2\right) \log (x)}{\left(-x+e^2 x-3 x^2\right) \log (x)} \, dx","Integrate[(-1 + E^2 - 3*x + (-1 + E^2)*Log[x])/((-x + E^2*x - 3*x^2)*Log[x]),x]","\log (x)-\log \left(3 x-e^2+1\right)+\log (\log (x))","\log \left(\frac{x \log (x)}{3 x-e^2+1}\right)",1,"Log[x] - Log[1 - E^2 + 3*x] + Log[Log[x]]","A",1
6094,1,24,27,0.0093148,"\int \frac{-36-54 x-36 x^4-36 x^5+2 x^9}{9-6 x^4+x^8} \, dx","Integrate[(-36 - 54*x - 36*x^4 - 36*x^5 + 2*x^9)/(9 - 6*x^4 + x^8),x]","2 \left(\frac{x^2}{2}+\frac{6 \left(x^2+x\right)}{x^4-3}\right)","x^2-4 \left(\frac{3 \left(x^2+x\right)}{3-x^4}-\log (4)\right)",1,"2*(x^2/2 + (6*(x + x^2))/(-3 + x^4))","A",1
6095,1,35,31,0.2172782,"\int \frac{e^{2 x}+e^{2 e^{25-10 x+x^2}} \left(4+4 e^x\right)+e^{e^{25-10 x+x^2}} \left(-4 e^x+e^{25-8 x+x^2} (20-4 x)\right)}{8 e^{2 e^{25-10 x+x^2}}+2 e^{2 x}-8 e^{e^{25-10 x+x^2}+x}} \, dx","Integrate[(E^(2*x) + E^(2*E^(25 - 10*x + x^2))*(4 + 4*E^x) + E^E^(25 - 10*x + x^2)*(-4*E^x + E^(25 - 8*x + x^2)*(20 - 4*x)))/(8*E^(2*E^(25 - 10*x + x^2)) + 2*E^(2*x) - 8*E^(E^(25 - 10*x + x^2) + x)),x]","\frac{1}{2} \left(\frac{e^x}{2 e^{e^{x^2-10 x+25}-x}-1}+x+e^x\right)","\frac{x}{2}+\frac{e^x}{2-e^{x-e^{(5-x)^2}}}",1,"(E^x + E^x/(-1 + 2*E^(E^(25 - 10*x + x^2) - x)) + x)/2","A",1
6096,1,46,32,0.9938952,"\int \frac{e^{\frac{1}{2} \left(5 e^{\frac{1}{x^2}} x-5 x^2-5 x^3\right)} \left(2 x+10 x^3+15 x^4+e^{\frac{1}{x^2}} \left(10-5 x^2\right)\right)}{2 e^{5 e^{\frac{1}{x^2}} x-5 x^2-5 x^3} x-4 e^{\frac{1}{2} \left(5 e^{\frac{1}{x^2}} x-5 x^2-5 x^3\right)} x^2+2 x^3} \, dx","Integrate[(E^((5*E^x^(-2)*x - 5*x^2 - 5*x^3)/2)*(2*x + 10*x^3 + 15*x^4 + E^x^(-2)*(10 - 5*x^2)))/(2*E^(5*E^x^(-2)*x - 5*x^2 - 5*x^3)*x - 4*E^((5*E^x^(-2)*x - 5*x^2 - 5*x^3)/2)*x^2 + 2*x^3),x]","-\frac{e^{\frac{5}{2} x^2 (x+1)} x}{e^{\frac{5}{2} x^2 (x+1)} x-e^{\frac{5}{2} e^{\frac{1}{x^2}} x}}","\frac{x}{e^{\frac{5}{2} \left(-x^3-x^2+e^{\frac{1}{x^2}} x\right)}-x}",1,"-((E^((5*x^2*(1 + x))/2)*x)/(-E^((5*E^x^(-2)*x)/2) + E^((5*x^2*(1 + x))/2)*x))","A",1
6097,1,22,22,0.0016282,"\int \frac{-3+x}{16+8 \log (\log (16))} \, dx","Integrate[(-3 + x)/(16 + 8*Log[Log[16]]),x]","\frac{\frac{x^2}{2}-3 x}{8 (2+\log (\log (16)))}","\frac{4-\frac{1}{16} (1-x) (x-5)}{2+\log (\log (16))}",1,"(-3*x + x^2/2)/(8*(2 + Log[Log[16]]))","A",1
6098,1,9,16,0.0008502,"\int \frac{-3-3 \log (240)}{x^2} \, dx","Integrate[(-3 - 3*Log[240])/x^2,x]","\frac{3 (1+\log (240))}{x}","\frac{3 (2 x+2) (1+\log (240))}{2 x}",1,"(3*(1 + Log[240]))/x","A",1
6099,1,14544,33,38.137442,"\int \frac{-486 x-486 x^2+324 x^3+468 x^4+162 x^5+18 x^6+\left(162 x+324 x^2+216 x^3+60 x^4+6 x^5\right) \log (5)+\left(648 x^4+648 x^5+216 x^6+24 x^7\right) \log \left(\frac{1}{2} (3-3 x-\log (5))\right)+\left(-1296 x^3-324 x^4+972 x^5+564 x^6+84 x^7+\left(432 x^3+540 x^4+216 x^5+28 x^6\right) \log (5)\right) \log ^2\left(\frac{1}{2} (3-3 x-\log (5))\right)+\left(648 x^6+432 x^7+72 x^8\right) \log ^3\left(\frac{1}{2} (3-3 x-\log (5))\right)+\left(-972 x^5+216 x^6+612 x^7+144 x^8+\left(324 x^5+252 x^6+48 x^7\right) \log (5)\right) \log ^4\left(\frac{1}{2} (3-3 x-\log (5))\right)+\left(216 x^8+72 x^9\right) \log ^5\left(\frac{1}{2} (3-3 x-\log (5))\right)+\left(-288 x^7+180 x^8+108 x^9+\left(96 x^7+36 x^8\right) \log (5)\right) \log ^6\left(\frac{1}{2} (3-3 x-\log (5))\right)+24 x^{10} \log ^7\left(\frac{1}{2} (3-3 x-\log (5))\right)+\left(-30 x^9+30 x^{10}+10 x^9 \log (5)\right) \log ^8\left(\frac{1}{2} (3-3 x-\log (5))\right)}{-3+3 x+\log (5)} \, dx","Integrate[(-486*x - 486*x^2 + 324*x^3 + 468*x^4 + 162*x^5 + 18*x^6 + (162*x + 324*x^2 + 216*x^3 + 60*x^4 + 6*x^5)*Log[5] + (648*x^4 + 648*x^5 + 216*x^6 + 24*x^7)*Log[(3 - 3*x - Log[5])/2] + (-1296*x^3 - 324*x^4 + 972*x^5 + 564*x^6 + 84*x^7 + (432*x^3 + 540*x^4 + 216*x^5 + 28*x^6)*Log[5])*Log[(3 - 3*x - Log[5])/2]^2 + (648*x^6 + 432*x^7 + 72*x^8)*Log[(3 - 3*x - Log[5])/2]^3 + (-972*x^5 + 216*x^6 + 612*x^7 + 144*x^8 + (324*x^5 + 252*x^6 + 48*x^7)*Log[5])*Log[(3 - 3*x - Log[5])/2]^4 + (216*x^8 + 72*x^9)*Log[(3 - 3*x - Log[5])/2]^5 + (-288*x^7 + 180*x^8 + 108*x^9 + (96*x^7 + 36*x^8)*Log[5])*Log[(3 - 3*x - Log[5])/2]^6 + 24*x^10*Log[(3 - 3*x - Log[5])/2]^7 + (-30*x^9 + 30*x^10 + 10*x^9*Log[5])*Log[(3 - 3*x - Log[5])/2]^8)/(-3 + 3*x + Log[5]),x]","\text{Result too large to show}","x^2 \left(x^2 \log ^2\left(\frac{1}{2} (-x+3-\log (5))-x\right)+x+3\right)^4",1,"Result too large to show","B",1
6100,1,18,24,0.0360434,"\int e^{13-16 x+4 x^2} \left(16-3 e^{-13+16 x-4 x^2}-8 x\right) \, dx","Integrate[E^(13 - 16*x + 4*x^2)*(16 - 3*E^(-13 + 16*x - 4*x^2) - 8*x),x]","-e^{4 x^2-16 x+13}-3 x","3 (5-x)-e^{(2 x-4)^2-3}+\frac{3}{25}",1,"-E^(13 - 16*x + 4*x^2) - 3*x","A",1
6101,1,129,32,0.4103463,"\int \frac{125 e^2-125 x-250 e x+125 x^2+e^{6 x} \left(-e^2+x+2 e x-x^2\right)+e^{5 x} \left(3 e^2 x-3 x^2-6 e x^2+3 x^3\right)+e^x \left(75 e^2 x-75 x^2-150 e x^2+75 x^3\right)+e^{2 x} \left(10+75 x-75 x^2-15 x^3+15 x^4+e^2 \left(-75+15 x^2\right)+e \left(150 x-30 x^3\right)\right)+e^{4 x} \left(-2-15 x+15 x^2+3 x^3-3 x^4+e^2 \left(15-3 x^2\right)+e \left(-30 x+6 x^3\right)\right)+e^{3 x} \left(2 x+30 x^2-30 x^3-x^4+x^5+e^2 \left(-30 x+x^3\right)+e \left(60 x^2-2 x^4\right)\right)+\left(-250 e x+250 x^2+e^{6 x} \left(2 e x-2 x^2\right)+e^{5 x} \left(-6 e x^2+6 x^3\right)+e^x \left(-150 e x^2+150 x^3\right)+e^{2 x} \left(20 x-150 x^2+30 x^4+e \left(150 x-30 x^3\right)\right)+e^{4 x} \left(4 x+30 x^2-6 x^4+e \left(-30 x+6 x^3\right)\right)+e^{3 x} \left(-4 x-60 x^3+2 x^5+e \left(60 x^2-2 x^4\right)\right)\right) \log (x)}{-125 x+e^{6 x} x-75 e^x x^2-3 e^{5 x} x^2+e^{2 x} \left(75 x-15 x^3\right)+e^{4 x} \left(-15 x+3 x^3\right)+e^{3 x} \left(30 x^2-x^4\right)} \, dx","Integrate[(125*E^2 - 125*x - 250*E*x + 125*x^2 + E^(6*x)*(-E^2 + x + 2*E*x - x^2) + E^(5*x)*(3*E^2*x - 3*x^2 - 6*E*x^2 + 3*x^3) + E^x*(75*E^2*x - 75*x^2 - 150*E*x^2 + 75*x^3) + E^(2*x)*(10 + 75*x - 75*x^2 - 15*x^3 + 15*x^4 + E^2*(-75 + 15*x^2) + E*(150*x - 30*x^3)) + E^(4*x)*(-2 - 15*x + 15*x^2 + 3*x^3 - 3*x^4 + E^2*(15 - 3*x^2) + E*(-30*x + 6*x^3)) + E^(3*x)*(2*x + 30*x^2 - 30*x^3 - x^4 + x^5 + E^2*(-30*x + x^3) + E*(60*x^2 - 2*x^4)) + (-250*E*x + 250*x^2 + E^(6*x)*(2*E*x - 2*x^2) + E^(5*x)*(-6*E*x^2 + 6*x^3) + E^x*(-150*E*x^2 + 150*x^3) + E^(2*x)*(20*x - 150*x^2 + 30*x^4 + E*(150*x - 30*x^3)) + E^(4*x)*(4*x + 30*x^2 - 6*x^4 + E*(-30*x + 6*x^3)) + E^(3*x)*(-4*x - 60*x^3 + 2*x^5 + E*(60*x^2 - 2*x^4)))*Log[x])/(-125*x + E^(6*x)*x - 75*E^x*x^2 - 3*E^(5*x)*x^2 + E^(2*x)*(75*x - 15*x^3) + E^(4*x)*(-15*x + 3*x^3) + E^(3*x)*(30*x^2 - x^4)),x]","-\frac{\left(10 e^x x^3-2 e^{3 x} x^3+e^{4 x} x^2-20 e^{x+1} x^2+4 e^{3 x+1} x^2+25 x^2-2 e^{2 x+1} \left(x^2-10\right) x+e^{2 x} \left(x^4-10 x^2+2\right)-2 e^{4 x+1} x-50 e x\right) \log (x)}{\left(e^x x-e^{2 x}+5\right)^2}+x-e^2 \log (x)","x-\left((x-e)^2+\frac{2}{\left(-x-5 e^{-x}+e^x\right)^2}\right) \log (x)",1,"x - E^2*Log[x] - ((-50*E*x - 2*E^(1 + 4*x)*x + 25*x^2 + E^(4*x)*x^2 - 20*E^(1 + x)*x^2 + 4*E^(1 + 3*x)*x^2 + 10*E^x*x^3 - 2*E^(3*x)*x^3 - 2*E^(1 + 2*x)*x*(-10 + x^2) + E^(2*x)*(2 - 10*x^2 + x^4))*Log[x])/(5 - E^(2*x) + E^x*x)^2","B",1
6102,1,31,35,0.1994341,"\int \frac{-5000 x^2+1250 e^{5+x} x^2+\left(15000 x^2-3700 e^{5+x} x^2\right) \log (x)+\left(10000 x-2450 e^{5+x} x\right) \log ^2(x)+\log \left(\frac{1}{4} \left(4-e^{5+x}\right)\right) \left(200 x-50 e^{5+x} x+\left(-400 x+100 e^{5+x} x\right) \log (x)+\left(-200+50 e^{5+x}\right) \log ^2(x)\right)}{-2500 x^6+625 e^{5+x} x^6+\left(-5000 x^5+1250 e^{5+x} x^5\right) \log (x)+\left(-2500 x^4+625 e^{5+x} x^4\right) \log ^2(x)+\log ^2\left(\frac{1}{4} \left(4-e^{5+x}\right)\right) \left(-4 x^4+e^{5+x} x^4+\left(-8 x^3+2 e^{5+x} x^3\right) \log (x)+\left(-4 x^2+e^{5+x} x^2\right) \log ^2(x)\right)+\log \left(\frac{1}{4} \left(4-e^{5+x}\right)\right) \left(200 x^5-50 e^{5+x} x^5+\left(400 x^4-100 e^{5+x} x^4\right) \log (x)+\left(200 x^3-50 e^{5+x} x^3\right) \log ^2(x)\right)} \, dx","Integrate[(-5000*x^2 + 1250*E^(5 + x)*x^2 + (15000*x^2 - 3700*E^(5 + x)*x^2)*Log[x] + (10000*x - 2450*E^(5 + x)*x)*Log[x]^2 + Log[(4 - E^(5 + x))/4]*(200*x - 50*E^(5 + x)*x + (-400*x + 100*E^(5 + x)*x)*Log[x] + (-200 + 50*E^(5 + x))*Log[x]^2))/(-2500*x^6 + 625*E^(5 + x)*x^6 + (-5000*x^5 + 1250*E^(5 + x)*x^5)*Log[x] + (-2500*x^4 + 625*E^(5 + x)*x^4)*Log[x]^2 + Log[(4 - E^(5 + x))/4]^2*(-4*x^4 + E^(5 + x)*x^4 + (-8*x^3 + 2*E^(5 + x)*x^3)*Log[x] + (-4*x^2 + E^(5 + x)*x^2)*Log[x]^2) + Log[(4 - E^(5 + x))/4]*(200*x^5 - 50*E^(5 + x)*x^5 + (400*x^4 - 100*E^(5 + x)*x^4)*Log[x] + (200*x^3 - 50*E^(5 + x)*x^3)*Log[x]^2)),x]","-\frac{50 \log (x)}{x \left(\log \left(1-\frac{e^{x+5}}{4}\right)-25 x\right) (x+\log (x))}","\frac{2 \log (x)}{x \left(x-\frac{1}{25} \log \left(\frac{1}{4} \left(4-e^{x+5}\right)\right)\right) (x+\log (x))}",1,"(-50*Log[x])/(x*(-25*x + Log[1 - E^(5 + x)/4])*(x + Log[x]))","A",1
6103,1,27,23,0.0037843,"\int \frac{e^5 \left(4-4 e^2\right)+4 e^5 \log (5)-4 e^5 \log (2 x)}{3 x^2} \, dx","Integrate[(E^5*(4 - 4*E^2) + 4*E^5*Log[5] - 4*E^5*Log[2*x])/(3*x^2),x]","\frac{4 e^7}{3 x}+\frac{4 e^5 \log \left(\frac{2 x}{5}\right)}{3 x}","\frac{4 e^5 \left(x+\log (2 x)+e^2-\log (5)\right)}{3 x}",1,"(4*E^7)/(3*x) + (4*E^5*Log[(2*x)/5])/(3*x)","A",1
6104,1,28,27,0.0521178,"\int \frac{1250 x+1253 x^2+1004 x^3+3000 x^4+300 x^5+1500 x^6+40 x^7+280 x^8+2 x^9+18 x^{10}+\left(-2506 x-8 x^2-4000 x^3-1800 x^5-320 x^7-20 x^9\right) \log (x)+(3+4 x) \log ^2(x)}{2 x^2-4 x \log (x)+2 \log ^2(x)} \, dx","Integrate[(1250*x + 1253*x^2 + 1004*x^3 + 3000*x^4 + 300*x^5 + 1500*x^6 + 40*x^7 + 280*x^8 + 2*x^9 + 18*x^10 + (-2506*x - 8*x^2 - 4000*x^3 - 1800*x^5 - 320*x^7 - 20*x^9)*Log[x] + (3 + 4*x)*Log[x]^2)/(2*x^2 - 4*x*Log[x] + 2*Log[x]^2),x]","\frac{1}{2} x \left(\frac{2 x \left(x^2+5\right)^4}{x-\log (x)}+2 x+3\right)","x \left(-\frac{x \left(x^2+5\right)^4}{\log (x)-x}+x+\frac{3}{2}\right)-1",1,"(x*(3 + 2*x + (2*x*(5 + x^2)^4)/(x - Log[x])))/2","A",1
6105,1,27,25,0.0714708,"\int e^{-x} \left(-16+48 x-2 e^x x-16 x^2+e^3 \left(-24+72 x-24 x^2\right)\right) \, dx","Integrate[(-16 + 48*x - 2*E^x*x - 16*x^2 + E^3*(-24 + 72*x - 24*x^2))/E^x,x]","-e^{-x} x \left(-24 e^3 (x-1)-16 (x-1)+e^x x\right)","x \left(4 \left(2+3 e^3\right) e^{-x} (2 x-2)-x\right)",1,"-((x*(-16*(-1 + x) - 24*E^3*(-1 + x) + E^x*x))/E^x)","A",1
6106,1,15,25,0.0047651,"\int \frac{4+16 e^2 x^2+32 e^2 x^2 \log (x)}{e^2 x} \, dx","Integrate[(4 + 16*E^2*x^2 + 32*E^2*x^2*Log[x])/(E^2*x),x]","16 x^2 \log (x)+\frac{4 \log (x)}{e^2}","4 \left(4 x^2 \log (x)+\frac{\log (x)}{e^2}+e^{\frac{e^4}{8}}\right)",1,"(4*Log[x])/E^2 + 16*x^2*Log[x]","A",1
6107,1,27,23,0.4284222,"\int \frac{100 x \log (x)+100 x \log ^2(x)+\left(2 x^4+2 e^x x^4\right) \log ^4(x)}{625+\left(250 x^2-50 e^x x^2-50 x^3\right) \log ^2(x)+\left(25 x^4+e^{2 x} x^4-10 x^5+x^6+e^x \left(-10 x^4+2 x^5\right)\right) \log ^4(x)} \, dx","Integrate[(100*x*Log[x] + 100*x*Log[x]^2 + (2*x^4 + 2*E^x*x^4)*Log[x]^4)/(625 + (250*x^2 - 50*E^x*x^2 - 50*x^3)*Log[x]^2 + (25*x^4 + E^(2*x)*x^4 - 10*x^5 + x^6 + E^x*(-10*x^4 + 2*x^5))*Log[x]^4),x]","-\frac{2 x^2 \log ^2(x)}{x^2 \left(x+e^x-5\right) \log ^2(x)-25}","\frac{2}{\frac{25}{x^2 \log ^2(x)}-x-e^x+5}",1,"(-2*x^2*Log[x]^2)/(-25 + x^2*(-5 + E^x + x)*Log[x]^2)","A",1
6108,1,22,19,0.0025587,"\int \frac{e^{12}+e^6 \left(9-3 e^5\right)+18 x}{e^{12}} \, dx","Integrate[(E^12 + E^6*(9 - 3*E^5) + 18*x)/E^12,x]","\frac{9 x^2}{e^{12}}-\frac{3 x}{e}+\frac{9 x}{e^6}+x","\frac{1}{4} \left(-\frac{6 x}{e^6}+e^5-3\right)^2+x",1,"x + (9*x)/E^6 - (3*x)/E + (9*x^2)/E^12","A",1
6109,1,34,32,0.5557128,"\int \frac{3 x^2+3 x^3 \log \left(\frac{3}{2}\right)+\left(-12 x^2-9 x^3 \log \left(\frac{3}{2}\right)\right) \log (x)+\left(-36+27 x-\left(18 x-18 x^2\right) \log \left(\frac{3}{2}\right)\right) \log ^2(x)}{-x^7 \log \left(\frac{3}{2}\right)-\left(12 x^5-6 x^6\right) \log \left(\frac{3}{2}\right) \log (x)-\left(36 x^3-36 x^4+9 x^5\right) \log \left(\frac{3}{2}\right) \log ^2(x)} \, dx","Integrate[(3*x^2 + 3*x^3*Log[3/2] + (-12*x^2 - 9*x^3*Log[3/2])*Log[x] + (-36 + 27*x - (18*x - 18*x^2)*Log[3/2])*Log[x]^2)/(-(x^7*Log[3/2]) - (12*x^5 - 6*x^6)*Log[3/2]*Log[x] - (36*x^3 - 36*x^4 + 9*x^5)*Log[3/2]*Log[x]^2),x]","-\frac{3 \left(x \log \left(\frac{3}{2}\right)+1\right) \log (x)}{\log \left(\frac{3}{2}\right) \left(x^4-3 (x-2) x^2 \log (x)\right)}","\frac{-\frac{3}{x \log \left(\frac{3}{2}\right)}-3}{x^2 \left(\frac{6}{x}+\frac{x}{\log (x)}-3\right)}",1,"(-3*(1 + x*Log[3/2])*Log[x])/(Log[3/2]*(x^4 - 3*(-2 + x)*x^2*Log[x]))","A",1
6110,1,17,25,0.0143273,"\int \frac{\frac{e^{2 x} (1-2 x)}{x}-3 x+2 x^2}{x} \, dx","Integrate[((E^(2*x)*(1 - 2*x))/x - 3*x + 2*x^2)/x,x]","x^2-3 x-\frac{e^{2 x}}{x}","x^2-3 x-\frac{e^{2 x}}{x}-\frac{e^2}{4}-7",1,"-(E^(2*x)/x) - 3*x + x^2","A",1
6111,1,25,24,0.020683,"\int \frac{-2 x^2-12 x^5+e^{10} \left(-2-12 x^3\right)+e^5 \left(-4 x-18 x^2-24 x^4\right)}{e^{10} x^2+2 e^5 x^3+x^4} \, dx","Integrate[(-2*x^2 - 12*x^5 + E^10*(-2 - 12*x^3) + E^5*(-4*x - 18*x^2 - 24*x^4))/(E^10*x^2 + 2*E^5*x^3 + x^4),x]","-2 \left(3 x^2-\frac{9 e^5}{x+e^5}-\frac{1}{x}\right)","\frac{2 \left(-3 \left(x+\frac{3}{x+e^5}\right) x^2+x+1\right)}{x}",1,"-2*(-x^(-1) + 3*x^2 - (9*E^5)/(E^5 + x))","A",1
6112,1,20,18,0.0064832,"\int \left(8+12 x+3 x^2+2 e^{2 x} (1+2 x)\right) \, dx","Integrate[8 + 12*x + 3*x^2 + 2*E^(2*x)*(1 + 2*x),x]","x^3+6 x^2+2 e^{2 x} x+8 x","\left((x+3)^2+2 e^{2 x}-2\right) x+x",1,"8*x + 2*E^(2*x)*x + 6*x^2 + x^3","A",1
6113,1,53,25,0.1928026,"\int \left(17-14 x+3 x^2+e^{-30 x+4 x^2+2 x^3} \left(1-30 x+8 x^2+6 x^3\right)+e^{-15 x+2 x^2+x^3} \left(8-124 x+62 x^2+16 x^3-6 x^4\right)+\log (\log (2))\right) \, dx","Integrate[17 - 14*x + 3*x^2 + E^(-30*x + 4*x^2 + 2*x^3)*(1 - 30*x + 8*x^2 + 6*x^3) + E^(-15*x + 2*x^2 + x^3)*(8 - 124*x + 62*x^2 + 16*x^3 - 6*x^4) + Log[Log[2]],x]","e^{-15 x} x \left(-2 e^{x^2 (x+2)} (x-4)+e^{x \left(2 x^2+4 x-15\right)}+e^{15 x} \left(x^2-7 x+17+\log (\log (2))\right)\right)","x \left(\left(-x+e^{(x-3) x (x+5)}+4\right)^2+x+1+\log (\log (2))\right)",1,"(x*(E^(x*(-15 + 4*x + 2*x^2)) - 2*E^(x^2*(2 + x))*(-4 + x) + E^(15*x)*(17 - 7*x + x^2 + Log[Log[2]])))/E^(15*x)","B",1
6114,1,29,30,0.2292279,"\int \frac{e^{\frac{5+e^{\frac{5+6 x+2 x^2}{1+x}}+x-\log (x)}{x}} \left(-6-12 x-6 x^2+e^{\frac{5+6 x+2 x^2}{1+x}} \left(-1-x+3 x^2+2 x^3\right)+\left(1+2 x+x^2\right) \log (x)\right)}{x^2+2 x^3+x^4} \, dx","Integrate[(E^((5 + E^((5 + 6*x + 2*x^2)/(1 + x)) + x - Log[x])/x)*(-6 - 12*x - 6*x^2 + E^((5 + 6*x + 2*x^2)/(1 + x))*(-1 - x + 3*x^2 + 2*x^3) + (1 + 2*x + x^2)*Log[x]))/(x^2 + 2*x^3 + x^4),x]","e^{\frac{x+e^{2 x+\frac{1}{x+1}+4}+5}{x}} x^{-1/x}","e^{\frac{e^{\frac{2 x^2+x}{x+1}+5}+x-\log (x)+5}{x}}",1,"E^((5 + E^(4 + 2*x + (1 + x)^(-1)) + x)/x)/x^x^(-1)","A",1
6115,1,24,33,0.26784,"\int \frac{-104976 x+39366 x^2-1458 x^4+e^{2 x} \left(-5832 x+8019 x^2-1458 x^3-729 x^4+162 x^5\right)}{26244-5832 x^2+324 x^4+e^{4 x} \left(81-18 x^2+x^4\right)+e^{2 x} \left(2916-648 x^2+36 x^4\right)} \, dx","Integrate[(-104976*x + 39366*x^2 - 1458*x^4 + E^(2*x)*(-5832*x + 8019*x^2 - 1458*x^3 - 729*x^4 + 162*x^5))/(26244 - 5832*x^2 + 324*x^4 + E^(4*x)*(81 - 18*x^2 + x^4) + E^(2*x)*(2916 - 648*x^2 + 36*x^4)),x]","-\frac{81 (x-4) x^2}{\left(e^{2 x}+18\right) \left(x^2-9\right)}","\frac{(4-x) x^2}{\left(\frac{e^{2 x}}{9}+2\right) \left(\frac{x^2}{9}-1\right)}",1,"(-81*(-4 + x)*x^2)/((18 + E^(2*x))*(-9 + x^2))","A",1
6116,1,16,18,0.120053,"\int \frac{2 x-2 e^x x \log (2)+\left(4+2 x+e^x \left(-2 x-2 x^2\right) \log (2)\right) \log (x)}{x} \, dx","Integrate[(2*x - 2*E^x*x*Log[2] + (4 + 2*x + E^x*(-2*x - 2*x^2)*Log[2])*Log[x])/x,x]","2 \log (x) \left(x-e^x x \log (2)+\log (x)\right)","2 \log (x) \left(x \left(1-e^x \log (2)\right)+\log (x)\right)",1,"2*Log[x]*(x - E^x*x*Log[2] + Log[x])","A",1
6117,0,0,30,2.1525194,"\int \frac{\exp \left(\frac{-x+\left(3-e-e^4\right) \log ^2(3)+\left(-6+2 e+2 e^4\right) \log (3) \log (-5+x)+\left(3-e-e^4\right) \log ^2(-5+x)}{-3+e+e^4}\right) \left(5-x+\left(-6+2 e+2 e^4\right) \log (3)+\left(6-2 e-2 e^4\right) \log (-5+x)\right)}{15+e (-5+x)+e^4 (-5+x)-3 x} \, dx","Integrate[(E^((-x + (3 - E - E^4)*Log[3]^2 + (-6 + 2*E + 2*E^4)*Log[3]*Log[-5 + x] + (3 - E - E^4)*Log[-5 + x]^2)/(-3 + E + E^4))*(5 - x + (-6 + 2*E + 2*E^4)*Log[3] + (6 - 2*E - 2*E^4)*Log[-5 + x]))/(15 + E*(-5 + x) + E^4*(-5 + x) - 3*x),x]","\int \frac{\exp \left(\frac{-x+\left(3-e-e^4\right) \log ^2(3)+\left(-6+2 e+2 e^4\right) \log (3) \log (-5+x)+\left(3-e-e^4\right) \log ^2(-5+x)}{-3+e+e^4}\right) \left(5-x+\left(-6+2 e+2 e^4\right) \log (3)+\left(6-2 e-2 e^4\right) \log (-5+x)\right)}{15+e (-5+x)+e^4 (-5+x)-3 x} \, dx","e^{\frac{x}{3-e-e^4}-(\log (3)-\log (x-5))^2}",1,"Integrate[(E^((-x + (3 - E - E^4)*Log[3]^2 + (-6 + 2*E + 2*E^4)*Log[3]*Log[-5 + x] + (3 - E - E^4)*Log[-5 + x]^2)/(-3 + E + E^4))*(5 - x + (-6 + 2*E + 2*E^4)*Log[3] + (6 - 2*E - 2*E^4)*Log[-5 + x]))/(15 + E*(-5 + x) + E^4*(-5 + x) - 3*x), x]","F",-1
6118,1,42,21,0.0208874,"\int \frac{\left(-1250-500 x+250 x^2\right) \log ^2(2)+(10+127 x) \log ^2(2) \log (x)+(3+x) \log ^2(2) \log ^2(x)}{125 x} \, dx","Integrate[((-1250 - 500*x + 250*x^2)*Log[2]^2 + (10 + 127*x)*Log[2]^2*Log[x] + (3 + x)*Log[2]^2*Log[x]^2)/(125*x),x]","\frac{1}{125} \log ^2(2) \left(125 x^2-625 x+\log ^3(x)+x \log ^2(x)+5 \log ^2(x)+125 x \log (x)-1250 \log (x)\right)","\log ^2(2) (x+\log (x)+5) \left(x+\frac{\log ^2(x)}{125}-10\right)",1,"(Log[2]^2*(-625*x + 125*x^2 - 1250*Log[x] + 125*x*Log[x] + 5*Log[x]^2 + x*Log[x]^2 + Log[x]^3))/125","A",1
6119,1,16,20,0.0058287,"\int \frac{-100-12 x+x^3}{20 x+4 x^2+x^4} \, dx","Integrate[(-100 - 12*x + x^3)/(20*x + 4*x^2 + x^4),x]","2 \log \left(x^3+4 x+20\right)-5 \log (x)","\log \left(\frac{\left(\frac{4 (x+5)}{x^2}+x\right)^2}{5 x}\right)",1,"-5*Log[x] + 2*Log[20 + 4*x + x^3]","A",1
6120,1,15,15,0.0517528,"\int \frac{8-8 e^3-10 x+5 x \log (x)}{x \log ^3(x)} \, dx","Integrate[(8 - 8*E^3 - 10*x + 5*x*Log[x])/(x*Log[x]^3),x]","\frac{5 x+4 e^3-4}{\log ^2(x)}","\frac{x+4 \left(x+e^3\right)-4}{\log ^2(x)}",1,"(-4 + 4*E^3 + 5*x)/Log[x]^2","A",1
6121,1,24,23,0.1181232,"\int \frac{3 x+e^x x+e^{2 x} \left(12 e^x x^2+36 x^3\right)+\left(-e^x-3 x\right) \log \left(e^x+3 x\right)}{3 e^x x^2+9 x^3} \, dx","Integrate[(3*x + E^x*x + E^(2*x)*(12*E^x*x^2 + 36*x^3) + (-E^x - 3*x)*Log[E^x + 3*x])/(3*E^x*x^2 + 9*x^3),x]","\frac{1}{3} \left(6 e^{2 x}+\frac{\log \left(3 x+e^x\right)}{x}\right)","2 e^{2 x}+\frac{\log \left(3 x+e^x\right)}{3 x}",1,"(6*E^(2*x) + Log[E^x + 3*x]/x)/3","A",1
6122,1,30,22,0.0820508,"\int \frac{-6 e^8 x \log ^4\left(\frac{5}{3}\right)+e^{12} \log ^6\left(\frac{5}{3}\right) (-6 x+6 x \log (x))}{-1+3 e^4 \log ^2\left(\frac{5}{3}\right) \log (x)-3 e^8 \log ^4\left(\frac{5}{3}\right) \log ^2(x)+e^{12} \log ^6\left(\frac{5}{3}\right) \log ^3(x)} \, dx","Integrate[(-6*E^8*x*Log[5/3]^4 + E^12*Log[5/3]^6*(-6*x + 6*x*Log[x]))/(-1 + 3*E^4*Log[5/3]^2*Log[x] - 3*E^8*Log[5/3]^4*Log[x]^2 + E^12*Log[5/3]^6*Log[x]^3),x]","\frac{3 e^8 x^2 \log ^4\left(\frac{5}{3}\right)}{\left(e^4 \log ^2\left(\frac{5}{3}\right) \log (x)-1\right)^2}","\frac{3 x^2}{\left(\frac{1}{e^4 \log ^2\left(\frac{5}{3}\right)}-\log (x)\right)^2}",1,"(3*E^8*x^2*Log[5/3]^4)/(-1 + E^4*Log[5/3]^2*Log[x])^2","A",1
6123,1,30,28,0.2476301,"\int \frac{(1+2 x)^{\frac{3 x}{-3-2 x \log (1+2 x)+e^{\log ^2(\log (x))} x \log (1+2 x)}} \left(-18 x \log (x)+(-9-18 x) \log (x) \log (1+2 x)+e^{\log ^2(\log (x))} \left(-6 x-12 x^2\right) \log ^2(1+2 x) \log (\log (x))\right)}{(9+18 x) \log (x)+\left(12 x+24 x^2\right) \log (x) \log (1+2 x)+e^{2 \log ^2(\log (x))} \left(x^2+2 x^3\right) \log (x) \log ^2(1+2 x)+\left(4 x^2+8 x^3\right) \log (x) \log ^2(1+2 x)+e^{\log ^2(\log (x))} \left(\left(-6 x-12 x^2\right) \log (x) \log (1+2 x)+\left(-4 x^2-8 x^3\right) \log (x) \log ^2(1+2 x)\right)} \, dx","Integrate[((1 + 2*x)^((3*x)/(-3 - 2*x*Log[1 + 2*x] + E^Log[Log[x]]^2*x*Log[1 + 2*x]))*(-18*x*Log[x] + (-9 - 18*x)*Log[x]*Log[1 + 2*x] + E^Log[Log[x]]^2*(-6*x - 12*x^2)*Log[1 + 2*x]^2*Log[Log[x]]))/((9 + 18*x)*Log[x] + (12*x + 24*x^2)*Log[x]*Log[1 + 2*x] + E^(2*Log[Log[x]]^2)*(x^2 + 2*x^3)*Log[x]*Log[1 + 2*x]^2 + (4*x^2 + 8*x^3)*Log[x]*Log[1 + 2*x]^2 + E^Log[Log[x]]^2*((-6*x - 12*x^2)*Log[x]*Log[1 + 2*x] + (-4*x^2 - 8*x^3)*Log[x]*Log[1 + 2*x]^2)),x]","(2 x+1)^{\frac{3 x}{x \left(e^{\log ^2(\log (x))}-2\right) \log (2 x+1)-3}}","e^{\frac{3}{e^{\log ^2(\log (x))}-\frac{3}{x \log (2 x+1)}-2}}",1,"(1 + 2*x)^((3*x)/(-3 + (-2 + E^Log[Log[x]]^2)*x*Log[1 + 2*x]))","A",1
6124,1,75,23,0.0956789,"\int \frac{-7 x^2+e^9 x^2-3 x^4+\left(14 x-2 e^9 x+6 x^3\right) \log (2)+\left(-8+e^9-3 x^2\right) \log ^2(2)}{x^2-2 x \log (2)+\log ^2(2)} \, dx","Integrate[(-7*x^2 + E^9*x^2 - 3*x^4 + (14*x - 2*E^9*x + 6*x^3)*Log[2] + (-8 + E^9 - 3*x^2)*Log[2]^2)/(x^2 - 2*x*Log[2] + Log[2]^2),x]","\left(-7+e^9-21 \log ^2(2)+\log (8) \log (64)\right) (x-\log (2))+\frac{\log ^2(2) \left(1+6 \log ^2(2)-\log (2) \log (64)\right)}{x-\log (2)}-(x-\log (2))^3-\frac{1}{2} \log (64) (x-\log (2))^2","x \left(-x^2-\frac{x}{\log (2)-x}+e^9-8\right)",1,"-(x - Log[2])^3 - ((x - Log[2])^2*Log[64])/2 + (Log[2]^2*(1 + 6*Log[2]^2 - Log[2]*Log[64]))/(x - Log[2]) + (x - Log[2])*(-7 + E^9 - 21*Log[2]^2 + Log[8]*Log[64])","B",0
6125,1,9,19,0.0004526,"\int \frac{115 \log (2)}{4 x^2} \, dx","Integrate[(115*Log[2])/(4*x^2),x]","-\frac{115 \log (2)}{4 x}","\log (2) \left(\frac{5}{4} \left(16-\frac{23}{x}\right)-\log (4)\right)",1,"(-115*Log[2])/(4*x)","A",1
6126,1,40,29,0.3420581,"\int \frac{\exp \left(\exp \left(\frac{1}{2} \left(-728 x^2+486 e^{\frac{x}{3+2 x}} x^2-81 e^{\frac{2 x}{3+2 x}} x^2\right)\right)+\frac{1}{2} \left(-728 x^2+486 e^{\frac{x}{3+2 x}} x^2-81 e^{\frac{2 x}{3+2 x}} x^2\right)\right) \left(-6552 x-8736 x^2-2912 x^3+e^{\frac{2 x}{3+2 x}} \left(-729 x-1215 x^2-324 x^3\right)+e^{\frac{x}{3+2 x}} \left(4374 x+6561 x^2+1944 x^3\right)\right)}{9+12 x+4 x^2} \, dx","Integrate[(E^(E^((-728*x^2 + 486*E^(x/(3 + 2*x))*x^2 - 81*E^((2*x)/(3 + 2*x))*x^2)/2) + (-728*x^2 + 486*E^(x/(3 + 2*x))*x^2 - 81*E^((2*x)/(3 + 2*x))*x^2)/2)*(-6552*x - 8736*x^2 - 2912*x^3 + E^((2*x)/(3 + 2*x))*(-729*x - 1215*x^2 - 324*x^3) + E^(x/(3 + 2*x))*(4374*x + 6561*x^2 + 1944*x^3)))/(9 + 12*x + 4*x^2),x]","\exp \left(\exp \left(-\frac{1}{2} \left(-486 e^{\frac{x}{2 x+3}}+81 e^{\frac{2 x}{2 x+3}}+728\right) x^2\right)\right)","e^{e^{\frac{1}{2} x \left(x-81 \left(e^{\frac{x}{2 x+3}}-3\right)^2 x\right)}}",1,"E^E^(-1/2*((728 - 486*E^(x/(3 + 2*x)) + 81*E^((2*x)/(3 + 2*x)))*x^2))","A",1
6127,1,19,20,1.361052,"\int \frac{-4 x^2+e^{\frac{1}{x}} x^2+\left(8 x+4 x^2+e^{\frac{1}{x}} \left(-2-3 x-x^2\right)\right) \log (2+x)}{2 x^3+x^4+\left(16 x^2+8 x^3+e^{\frac{1}{x}} \left(-4 x^2-2 x^3\right)\right) \log (2+x)+\left(32 x+16 x^2+e^{\frac{1}{x}} \left(-16 x-8 x^2\right)+e^{2/x} \left(2 x+x^2\right)\right) \log ^2(2+x)} \, dx","Integrate[(-4*x^2 + E^x^(-1)*x^2 + (8*x + 4*x^2 + E^x^(-1)*(-2 - 3*x - x^2))*Log[2 + x])/(2*x^3 + x^4 + (16*x^2 + 8*x^3 + E^x^(-1)*(-4*x^2 - 2*x^3))*Log[2 + x] + (32*x + 16*x^2 + E^x^(-1)*(-16*x - 8*x^2) + E^(2/x)*(2*x + x^2))*Log[2 + x]^2),x]","\frac{x}{x-\left(e^{\frac{1}{x}}-4\right) \log (x+2)}","\frac{x}{x+\left(4-e^{\frac{1}{x}}\right) \log (x+2)}",1,"x/(x - (-4 + E^x^(-1))*Log[2 + x])","A",1
6128,1,48,39,0.0299247,"\int \frac{-2 e^9+e^{9+\frac{1}{2} (4+x+\log (3))}+8 e^9 (i \pi +\log (3))}{8 (i \pi +\log (3))} \, dx","Integrate[(-2*E^9 + E^(9 + (4 + x + Log[3])/2) + 8*E^9*(I*Pi + Log[3]))/(8*(I*Pi + Log[3])),x]","\frac{e^9 \left(8 i \pi  x-2 x+2 \sqrt{3} e^{\frac{x}{2}+2}+8 x \log (3)\right)}{8 (\log (3)+i \pi )}","e^9 \left(x-\frac{\frac{1}{4} \left(x-e^{\frac{1}{2} (x+4+\log (3))}\right)+2}{\log (3)+i \pi }\right)",1,"(E^9*(2*Sqrt[3]*E^(2 + x/2) - 2*x + (8*I)*Pi*x + 8*x*Log[3]))/(8*(I*Pi + Log[3]))","A",1
6129,1,14,14,0.0168079,"\int -e^{6+e^4-e^{5+e^4+x}+x} \, dx","Integrate[-E^(6 + E^4 - E^(5 + E^4 + x) + x),x]","e^{1-e^{x+e^4+5}}","e^{1-e^{x+e^4+5}}",1,"E^(1 - E^(5 + E^4 + x))","A",1
6130,1,19,21,0.0735023,"\int \frac{x+\left(x+x^2+5\ 3^{5/x} \log (3)\right) \log (x)}{\left(64 x^2+3^{10/x} x^2+16 x^3+x^4+3^{5/x} \left(-16 x^2-2 x^3\right)\right) \log (x)+\left(16 x^2-2\ 3^{5/x} x^2+2 x^3\right) \log (x) \log (x \log (x))+x^2 \log (x) \log ^2(x \log (x))} \, dx","Integrate[(x + (x + x^2 + 5*3^(5/x)*Log[3])*Log[x])/((64*x^2 + 3^(10/x)*x^2 + 16*x^3 + x^4 + 3^(5/x)*(-16*x^2 - 2*x^3))*Log[x] + (16*x^2 - 2*3^(5/x)*x^2 + 2*x^3)*Log[x]*Log[x*Log[x]] + x^2*Log[x]*Log[x*Log[x]]^2),x]","-\frac{1}{x-243^{\frac{1}{x}}+\log (x \log (x))+8}","\frac{1}{-x+3^{5/x}-\log (x \log (x))-8}",1,"-(8 - 243^x^(-1) + x + Log[x*Log[x]])^(-1)","A",1
6131,1,65,33,0.3867456,"\int \frac{-4 e^{x+e^{-x} \left(-e^2+e^x x\right)}+e^{3 x} \left(x^2+x^3\right)+e^{2 x} \left(-2 x^2-4 x^3-e^2 x^3\right)+e^2 \left(-x^3-2 x^4-x^5\right)+e^x \left(x^2+3 x^3+x^4-x^5+e^2 \left(2 x^3+2 x^4\right)\right)}{e^{3 x} x^3+e^{x+e^{-x} \left(-e^2+e^x x\right)} \left(4 x+2 x^2\right)+e^{2 x} \left(-2 x^3-2 x^4\right)+e^x \left(x^3+2 x^4+x^5\right)} \, dx","Integrate[(-4*E^(x + (-E^2 + E^x*x)/E^x) + E^(3*x)*(x^2 + x^3) + E^(2*x)*(-2*x^2 - 4*x^3 - E^2*x^3) + E^2*(-x^3 - 2*x^4 - x^5) + E^x*(x^2 + 3*x^3 + x^4 - x^5 + E^2*(2*x^3 + 2*x^4)))/(E^(3*x)*x^3 + E^(x + (-E^2 + E^x*x)/E^x)*(4*x + 2*x^2) + E^(2*x)*(-2*x^3 - 2*x^4) + E^x*(x^3 + 2*x^4 + x^5)),x]","\log \left(e^{-2 x} (x+1)^2 x^2-2 e^{-x} (x+1) x^2+x^2+2 e^{-x-e^{2-x}} (x+2)\right)+x+e^{2-x}-\log (x)","\log \left(e^{e^{2-x}-x} x \left(-x+e^x-1\right)^2+\frac{4}{x}+2\right)",1,"E^(2 - x) + x - Log[x] + Log[x^2 - (2*x^2*(1 + x))/E^x + (x^2*(1 + x)^2)/E^(2*x) + 2*E^(-E^(2 - x) - x)*(2 + x)]","A",1
6132,1,24,28,0.7011448,"\int \frac{e^{2 x} \left(-320+128 x^2\right)+e^x \left(-128 x^2+32 x^3\right)}{x^7+e^x \left(10 x^5-2 x^7\right)+e^{2 x} \left(25 x^3-10 x^5+x^7\right)} \, dx","Integrate[(E^(2*x)*(-320 + 128*x^2) + E^x*(-128*x^2 + 32*x^3))/(x^7 + E^x*(10*x^5 - 2*x^7) + E^(2*x)*(25*x^3 - 10*x^5 + x^7)),x]","\frac{32 e^x}{x^4-e^x x^2 \left(x^2-5\right)}","\frac{8 \left(x^2+\frac{4}{5-x \left(x-e^{-x} x\right)}\right)}{x^2}",1,"(32*E^x)/(x^4 - E^x*x^2*(-5 + x^2))","A",1
6133,1,31,29,0.094568,"\int \frac{-96+6 e^4+8 x+\left(-48 x+3 e^4 x-4 x^2\right) \log ^2\left(\frac{9 x}{2304+9 e^8+e^4 (-288-24 x)+384 x+16 x^2}\right)}{-192 x+12 e^4 x-16 x^2+\left(192 x^2-12 e^4 x^2+16 x^3\right) \log \left(\frac{9 x}{2304+9 e^8+e^4 (-288-24 x)+384 x+16 x^2}\right)+\left(-48 x^3+3 e^4 x^3-4 x^4\right) \log ^2\left(\frac{9 x}{2304+9 e^8+e^4 (-288-24 x)+384 x+16 x^2}\right)} \, dx","Integrate[(-96 + 6*E^4 + 8*x + (-48*x + 3*E^4*x - 4*x^2)*Log[(9*x)/(2304 + 9*E^8 + E^4*(-288 - 24*x) + 384*x + 16*x^2)]^2)/(-192*x + 12*E^4*x - 16*x^2 + (192*x^2 - 12*E^4*x^2 + 16*x^3)*Log[(9*x)/(2304 + 9*E^8 + E^4*(-288 - 24*x) + 384*x + 16*x^2)] + (-48*x^3 + 3*E^4*x^3 - 4*x^4)*Log[(9*x)/(2304 + 9*E^8 + E^4*(-288 - 24*x) + 384*x + 16*x^2)]^2),x]","\frac{-\frac{2}{x \log \left(\frac{9 x}{\left(3 e^4-4 (x+12)\right)^2}\right)-2}-1}{x}","\frac{2}{\frac{4}{\log \left(\frac{x}{\left(\frac{4 x}{3}-e^4+16\right)^2}\right)}-2 x}",1,"(-1 - 2/(-2 + x*Log[(9*x)/(3*E^4 - 4*(12 + x))^2]))/x","A",1
6134,1,20,23,0.1669622,"\int \frac{\log (x) \left(5+\log \left(e^{-\frac{2-x}{e^9}} \left(-5+e^{\frac{2-x}{e^9}} x\right)\right)\right) \left(-125 e^9+25 e^{9+\frac{2-x}{e^9}} x+\left(-25 x+5 e^{9+\frac{2-x}{e^9}} x\right) \log (x)+\left(-25 e^9+5 e^{9+\frac{2-x}{e^9}} x\right) \log \left(e^{-\frac{2-x}{e^9}} \left(-5+e^{\frac{2-x}{e^9}} x\right)\right)\right)}{\left(-25 e^9 x+5 e^{9+\frac{2-x}{e^9}} x^2\right) \log (x)+\left(-5 e^9 x+e^{9+\frac{2-x}{e^9}} x^2\right) \log (x) \log \left(e^{-\frac{2-x}{e^9}} \left(-5+e^{\frac{2-x}{e^9}} x\right)\right)} \, dx","Integrate[(Log[x]*(5 + Log[(-5 + E^((2 - x)/E^9)*x)/E^((2 - x)/E^9)])*(-125*E^9 + 25*E^(9 + (2 - x)/E^9)*x + (-25*x + 5*E^(9 + (2 - x)/E^9)*x)*Log[x] + (-25*E^9 + 5*E^(9 + (2 - x)/E^9)*x)*Log[(-5 + E^((2 - x)/E^9)*x)/E^((2 - x)/E^9)]))/((-25*E^9*x + 5*E^(9 + (2 - x)/E^9)*x^2)*Log[x] + (-5*E^9*x + E^(9 + (2 - x)/E^9)*x^2)*Log[x]*Log[(-5 + E^((2 - x)/E^9)*x)/E^((2 - x)/E^9)]),x]","5 \log (x) \left(\log \left(x-5 e^{\frac{x-2}{e^9}}\right)+5\right)","5 \log (x) \left(\log \left(x-5 e^{-\frac{2-x}{e^9}}\right)+5\right)",1,"5*Log[x]*(5 + Log[-5*E^((-2 + x)/E^9) + x])","A",1
6135,1,11,15,0.001041,"\int \frac{-18+x^2+2 x^3}{x^3} \, dx","Integrate[(-18 + x^2 + 2*x^3)/x^3,x]","\frac{9}{x^2}+2 x+\log (x)","\frac{9}{x^2}+2 x+\log (x)+e^8+1",1,"9/x^2 + 2*x + Log[x]","A",1
6136,1,29,29,0.0238369,"\int \frac{1}{2} \left(43-24 x+3 x^2+e^x \left(-3+4 x-x^2\right)\right) \, dx","Integrate[(43 - 24*x + 3*x^2 + E^x*(-3 + 4*x - x^2))/2,x]","\frac{1}{2} \left(x^3-12 x^2-e^x \left(x^2-6 x+9\right)+43 x\right)","(3-x)^2 \left(\frac{1}{2} \left(-x-e^x-2\right)+x-2\right)-x",1,"(43*x - 12*x^2 + x^3 - E^x*(9 - 6*x + x^2))/2","A",1
6137,1,14,15,0.031509,"\int \left(1+e^{8+x-2 x^2} (-1+4 x)\right) \, dx","Integrate[1 + E^(8 + x - 2*x^2)*(-1 + 4*x),x]","x-e^{-2 x^2+x+8}","-e^{-2 x^2+x+8}+x-4",1,"-E^(8 + x - 2*x^2) + x","A",1
6138,1,32,24,0.0382664,"\int \frac{3 x^2-5 x^3+e^{3+e^4} (-1+5 e+5 x)+e \left(2 x-5 x^2\right)}{-5 e x^2-5 x^3+e^{3+e^4} (5 e+5 x)} \, dx","Integrate[(3*x^2 - 5*x^3 + E^(3 + E^4)*(-1 + 5*E + 5*x) + E*(2*x - 5*x^2))/(-5*E*x^2 - 5*x^3 + E^(3 + E^4)*(5*E + 5*x)),x]","\frac{1}{5} \left(-\log \left(e^{3+e^4}-x^2\right)+5 (x+e)-\log (x+e)\right)","x-\frac{1}{5} \log \left((x+e) \left(x^2-e^{3+e^4}\right)\right)",1,"(5*(E + x) - Log[E + x] - Log[E^(3 + E^4) - x^2])/5","A",1
6139,1,20,29,0.714446,"\int \frac{x-24 x^2+24 x^3+\left(-5 e^{24 x-12 x^2}-x\right) \log \left(e^{-24 x+12 x^2} \left(5 e^{24 x-12 x^2}+x\right)\right)}{5 e^{24 x-12 x^2} x^2+x^3} \, dx","Integrate[(x - 24*x^2 + 24*x^3 + (-5*E^(24*x - 12*x^2) - x)*Log[E^(-24*x + 12*x^2)*(5*E^(24*x - 12*x^2) + x)])/(5*E^(24*x - 12*x^2)*x^2 + x^3),x]","\frac{\log \left(e^{12 x^2-24 x} x+5\right)}{x}","-\frac{x^2-\log \left(e^{-6 (4-2 x) x} x+5\right)}{x}+x+3",1,"Log[5 + E^(-24*x + 12*x^2)*x]/x","A",1
6140,1,21,22,0.0421082,"\int \frac{-4+e^{e^{\frac{e^x}{12}}+x} \left(-12 x^2-e^{\frac{e^x}{12}+x} x^2\right)}{x^2} \, dx","Integrate[(-4 + E^(E^(E^x/12) + x)*(-12*x^2 - E^(E^x/12 + x)*x^2))/x^2,x]","\frac{4}{x}-12 e^{x+e^{\frac{e^x}{12}}}","\frac{4-12 e^{x+e^{\frac{e^x}{12}}} x}{x}",1,"-12*E^(E^(E^x/12) + x) + 4/x","A",1
6141,1,26,27,0.08048,"\int \frac{3+e^{2 x} (3+6 x)+e^x (9+9 x)+\left(4 x-2 e^{2 x} x\right) \log (x)+\left(6 x+2 e^{2 x} x^2+e^x \left(6 x+6 x^2\right)\right) \log ^2(x)+\left(x^2+e^x \left(x^2+x^3\right)\right) \log ^4(x)}{9+6 x \log ^2(x)+x^2 \log ^4(x)} \, dx","Integrate[(3 + E^(2*x)*(3 + 6*x) + E^x*(9 + 9*x) + (4*x - 2*E^(2*x)*x)*Log[x] + (6*x + 2*E^(2*x)*x^2 + E^x*(6*x + 6*x^2))*Log[x]^2 + (x^2 + E^x*(x^2 + x^3))*Log[x]^4)/(9 + 6*x*Log[x]^2 + x^2*Log[x]^4),x]","e^x x+x+\frac{\left(e^{2 x}-2\right) x}{x \log ^2(x)+3}","x+x \left(e^x+\frac{e^{2 x}-2}{x \log ^2(x)+3}\right)+5",1,"x + E^x*x + ((-2 + E^(2*x))*x)/(3 + x*Log[x]^2)","A",1
6142,1,21,24,0.2450747,"\int \frac{e^{-1+x} \left(-2+3 x-x^2\right)+e^{-1+x} \left(-2+6 x-4 x^2+x^3\right) \log (x)}{e^3 \left(x^2-2 x^3+x^4\right) \log ^2(x)} \, dx","Integrate[(E^(-1 + x)*(-2 + 3*x - x^2) + E^(-1 + x)*(-2 + 6*x - 4*x^2 + x^3)*Log[x])/(E^3*(x^2 - 2*x^3 + x^4)*Log[x]^2),x]","\frac{e^{x-4} (x-2)}{(x-1) x \log (x)}","\frac{e^{x-4}}{\left(\frac{1}{x-2}+1\right) x \log (x)}-2",1,"(E^(-4 + x)*(-2 + x))/((-1 + x)*x*Log[x])","A",1
6143,1,45,31,0.0119562,"\int \frac{-248+20 x-20 x \log (x)+x \log ^2(x)-100 \log ^2\left(\frac{9}{\log (5)}\right)-10 \log ^4\left(\frac{9}{\log (5)}\right)}{x \log ^2(x)} \, dx","Integrate[(-248 + 20*x - 20*x*Log[x] + x*Log[x]^2 - 100*Log[9/Log[5]]^2 - 10*Log[9/Log[5]]^4)/(x*Log[x]^2),x]","x+\frac{10 \log ^4\left(\frac{9}{\log (5)}\right)}{\log (x)}+\frac{100 \log ^2\left(\frac{9}{\log (5)}\right)}{\log (x)}-\frac{20 x}{\log (x)}+\frac{248}{\log (x)}","x-\frac{2 \left(5 \left(2 x-\left(5+\log ^2\left(\frac{9}{\log (5)}\right)\right)^2\right)+1\right)}{\log (x)}",1,"x + 248/Log[x] - (20*x)/Log[x] + (100*Log[9/Log[5]]^2)/Log[x] + (10*Log[9/Log[5]]^4)/Log[x]","A",1
6144,1,42,30,0.3447204,"\int \frac{-2+8 e^{4-60 x+225 x^2}-12 e^{8-120 x+450 x^2}+8 e^{12-180 x+675 x^2}-2 e^{16-240 x+900 x^2}+\left(10+e^{12-180 x+675 x^2} \left(720 x-5400 x^2\right)+e^{4-60 x+225 x^2} \left(-20+240 x-1800 x^2\right)+e^{16-240 x+900 x^2} \left(-240 x+1800 x^2\right)+e^{8-120 x+450 x^2} \left(10-720 x+5400 x^2\right)\right) \log (x)+\left(e^{8-120 x+450 x^2} \left(1200 x-9000 x^2\right)+e^{4-60 x+225 x^2} \left(-1200 x+9000 x^2\right)\right) \log ^2(x)-\log ^3(x)}{x \log ^3(x)} \, dx","Integrate[(-2 + 8*E^(4 - 60*x + 225*x^2) - 12*E^(8 - 120*x + 450*x^2) + 8*E^(12 - 180*x + 675*x^2) - 2*E^(16 - 240*x + 900*x^2) + (10 + E^(12 - 180*x + 675*x^2)*(720*x - 5400*x^2) + E^(4 - 60*x + 225*x^2)*(-20 + 240*x - 1800*x^2) + E^(16 - 240*x + 900*x^2)*(-240*x + 1800*x^2) + E^(8 - 120*x + 450*x^2)*(10 - 720*x + 5400*x^2))*Log[x] + (E^(8 - 120*x + 450*x^2)*(1200*x - 9000*x^2) + E^(4 - 60*x + 225*x^2)*(-1200*x + 9000*x^2))*Log[x]^2 - Log[x]^3)/(x*Log[x]^3),x]","\frac{\left(e^{(2-15 x)^2}-1\right)^4-\log ^3(x)-10 \left(e^{(2-15 x)^2}-1\right)^2 \log (x)}{\log ^2(x)}","\log \left(\frac{e^{\left(5-\frac{\left(e^{(2-15 x)^2}-1\right)^2}{\log (x)}\right)^2}}{x}\right)",1,"((-1 + E^(2 - 15*x)^2)^4 - 10*(-1 + E^(2 - 15*x)^2)^2*Log[x] - Log[x]^3)/Log[x]^2","A",1
6145,1,48,27,0.1171043,"\int \frac{e^{x^2} \left(-20 x+30 x^2-10 x^3+10 x^4\right)+e^{x^2} \left(-30 x+40 x^2-20 x^3+20 x^4\right) \log \left(-x+x^2\right)+e^{x^2} \left(-10 x+10 x^2-10 x^3+10 x^4\right) \log ^2\left(-x+x^2\right)}{-4+4 x+e^{x^2} \left(4 x^2-4 x^3\right)+e^{2 x^2} \left(-x^4+x^5\right)+\left(e^{x^2} \left(8 x^2-8 x^3\right)+e^{2 x^2} \left(-4 x^4+4 x^5\right)\right) \log \left(-x+x^2\right)+\left(e^{x^2} \left(4 x^2-4 x^3\right)+e^{2 x^2} \left(-6 x^4+6 x^5\right)\right) \log ^2\left(-x+x^2\right)+e^{2 x^2} \left(-4 x^4+4 x^5\right) \log ^3\left(-x+x^2\right)+e^{2 x^2} \left(-x^4+x^5\right) \log ^4\left(-x+x^2\right)} \, dx","Integrate[(E^x^2*(-20*x + 30*x^2 - 10*x^3 + 10*x^4) + E^x^2*(-30*x + 40*x^2 - 20*x^3 + 20*x^4)*Log[-x + x^2] + E^x^2*(-10*x + 10*x^2 - 10*x^3 + 10*x^4)*Log[-x + x^2]^2)/(-4 + 4*x + E^x^2*(4*x^2 - 4*x^3) + E^(2*x^2)*(-x^4 + x^5) + (E^x^2*(8*x^2 - 8*x^3) + E^(2*x^2)*(-4*x^4 + 4*x^5))*Log[-x + x^2] + (E^x^2*(4*x^2 - 4*x^3) + E^(2*x^2)*(-6*x^4 + 6*x^5))*Log[-x + x^2]^2 + E^(2*x^2)*(-4*x^4 + 4*x^5)*Log[-x + x^2]^3 + E^(2*x^2)*(-x^4 + x^5)*Log[-x + x^2]^4),x]","-\frac{5}{e^{x^2} x^2+e^{x^2} x^2 \log ^2((x-1) x)+2 e^{x^2} x^2 \log ((x-1) x)-2}","\frac{5}{2-e^{x^2} \left(x \log \left(x^2-x\right)+x\right)^2}",1,"-5/(-2 + E^x^2*x^2 + 2*E^x^2*x^2*Log[(-1 + x)*x] + E^x^2*x^2*Log[(-1 + x)*x]^2)","A",1
6146,1,19,23,0.0054931,"\int \frac{5+\left(-3+2 x^2\right) \log ^2(\log (3))}{x^2 \log ^2(\log (3))} \, dx","Integrate[(5 + (-3 + 2*x^2)*Log[Log[3]]^2)/(x^2*Log[Log[3]]^2),x]","2 x+\frac{3}{x}-\frac{5}{x \log ^2(\log (3))}","2 x+\frac{3}{x}-\frac{\frac{5}{x}+3}{\log ^2(\log (3))}",1,"3/x + 2*x - 5/(x*Log[Log[3]]^2)","A",1
6147,1,25,22,0.0040359,"\int \frac{50+11 x-400 x^2-72 x^3+6 x \log (x)}{5 x} \, dx","Integrate[(50 + 11*x - 400*x^2 - 72*x^3 + 6*x*Log[x])/(5*x),x]","-\frac{24 x^3}{5}-40 x^2+x+\frac{6}{5} x \log (x)+10 \log (x)","-2 \left(\frac{3 x}{5}+5\right) \left(4 x^2-\log (x)\right)+x+3",1,"x - 40*x^2 - (24*x^3)/5 + 10*Log[x] + (6*x*Log[x])/5","A",1
6148,1,18,23,0.0037564,"\int \frac{-2 x+15 x^3+30 \log (4)}{15 x^3} \, dx","Integrate[(-2*x + 15*x^3 + 30*Log[4])/(15*x^3),x]","-\frac{\log (16)}{2 x^2}+x+\frac{2}{15 x}","x-\frac{\frac{\log (4)-4 x^2}{x}-\frac{2}{15}}{x}",1,"2/(15*x) + x - Log[16]/(2*x^2)","A",1
6149,1,18,18,0.0454176,"\int \frac{3+e^{-9 \pi ^2 x^2} \left(-1-18 \pi ^2 x^2\right)-\log (x)}{x^2} \, dx","Integrate[(3 + (-1 - 18*Pi^2*x^2)/E^(9*Pi^2*x^2) - Log[x])/x^2,x]","\frac{e^{-9 \pi ^2 x^2}+\log (x)-2}{x}","\frac{e^{-9 \pi ^2 x^2}+\log (x)-2}{x}",1,"(-2 + E^(-9*Pi^2*x^2) + Log[x])/x","A",1
6150,1,48,23,0.0124709,"\int \frac{-240 x^3-48 x^4+40 x^6+\left(3600+1440 x+144 x^2-480 x^3-144 x^4\right) \log (x)+\left(-1800+72 x^2\right) \log ^2(x)}{5 x^2} \, dx","Integrate[(-240*x^3 - 48*x^4 + 40*x^6 + (3600 + 1440*x + 144*x^2 - 480*x^3 - 144*x^4)*Log[x] + (-1800 + 72*x^2)*Log[x]^2)/(5*x^2),x]","\frac{8 x^5}{5}-\frac{48}{5} x^3 \log (x)-48 x^2 \log (x)+\frac{72}{5} x \log ^2(x)+144 \log ^2(x)+\frac{360 \log ^2(x)}{x}","\frac{2}{5} x \left(\frac{6 (x+5) \log (x)}{x}-2 x^2\right)^2",1,"(8*x^5)/5 - 48*x^2*Log[x] - (48*x^3*Log[x])/5 + 144*Log[x]^2 + (360*Log[x]^2)/x + (72*x*Log[x]^2)/5","B",1
6151,1,30,29,0.0036945,"\int \frac{-192+144 x+104 x^2-32 x^3-2 x^6}{x^5} \, dx","Integrate[(-192 + 144*x + 104*x^2 - 32*x^3 - 2*x^6)/x^5,x]","-2 \left(-\frac{24}{x^4}+\frac{24}{x^3}+\frac{x^2}{2}+\frac{26}{x^2}-\frac{16}{x}\right)","\frac{1}{3} \left(4 \left(\left(-\frac{3 (x-2)}{x^2}-4\right)^2+\log (4)\right)+1\right)-x^2",1,"-2*(-24/x^4 + 24/x^3 + 26/x^2 - 16/x + x^2/2)","A",1
6152,1,26,20,0.1751954,"\int \frac{e^{-4+x^2} \left(2 x-3 x^2+4 x^3-3 x^4+2 x^5-2 x^6\right)}{1+2 x^2+x^4} \, dx","Integrate[(E^(-4 + x^2)*(2*x - 3*x^2 + 4*x^3 - 3*x^4 + 2*x^5 - 2*x^6))/(1 + 2*x^2 + x^4),x]","-\frac{e^{x^2-4} \left(x^3-x^2-1\right)}{x^2+1}","e^{x^2-4} \left(-x+\frac{1}{x+\frac{1}{x}}+1\right)",1,"-((E^(-4 + x^2)*(-1 - x^2 + x^3))/(1 + x^2))","A",1
6153,1,12,25,0.004772,"\int \frac{75+25 x^2}{162-108 x^2+18 x^4} \, dx","Integrate[(75 + 25*x^2)/(162 - 108*x^2 + 18*x^4),x]","-\frac{25 x}{18 \left(x^2-3\right)}","5 \left(2 \left(\frac{5 x}{36 \left(3-x^2\right)}-\log (4)\right)+2\right)",1,"(-25*x)/(18*(-3 + x^2))","A",1
6154,1,5,16,0.0001677,"\int -e^x \, dx","Integrate[-E^x,x]","-e^x","-e^x-8-e^5-\log (2)",1,"-E^x","A",1
6155,1,46,22,0.0217713,"\int \left(-180+172 x+4 e^{\frac{e^8}{4}} x-60 x^2+8 x^3+e^{\frac{e^8}{8}} \left(-36+40 x-12 x^2\right)\right) \, dx","Integrate[-180 + 172*x + 4*E^(E^8/4)*x - 60*x^2 + 8*x^3 + E^(E^8/8)*(-36 + 40*x - 12*x^2),x]","2 x \left(x^3-10 x^2-2 e^{\frac{e^8}{8}} \left(x^2-5 x+9\right)+e^{\frac{e^8}{4}} x+43 x-90\right)","2 \left(x \left(x-e^{\frac{e^8}{8}}-5\right)+9\right)^2",1,"2*x*(-90 + 43*x + E^(E^8/4)*x - 10*x^2 + x^3 - 2*E^(E^8/8)*(9 - 5*x + x^2))","B",1
6156,1,27,27,0.0279527,"\int \frac{e^{\frac{1}{4} \left(4-x^2\right)} \left(\left(-4+4 e^5-8 x\right) \log \left(20+x-e^5 x+x^2\right)+\left(20 x+x^2-e^5 x^2+x^3\right) \log ^2\left(20+x-e^5 x+x^2\right)\right)}{-40-2 x+2 e^5 x-2 x^2} \, dx","Integrate[(E^((4 - x^2)/4)*((-4 + 4*E^5 - 8*x)*Log[20 + x - E^5*x + x^2] + (20*x + x^2 - E^5*x^2 + x^3)*Log[20 + x - E^5*x + x^2]^2))/(-40 - 2*x + 2*E^5*x - 2*x^2),x]","e^{1-\frac{x^2}{4}} \log ^2\left(x^2-e^5 x+x+20\right)","e^{1-\frac{x^2}{4}} \log ^2\left(x^2-e^5 x+x+20\right)",1,"E^(1 - x^2/4)*Log[20 + x - E^5*x + x^2]^2","A",1
6157,1,24,24,0.2295868,"\int \frac{-5+x+x^2+\frac{\exp \left(e^{x^2}+e^{\frac{e^{e^{x^2}}}{-5+x+x^2}}+\frac{e^{e^{x^2}}}{-5+x+x^2}\right) \left(1+2 x+e^{x^2} \left(10 x-2 x^2-2 x^3\right)\right)}{-5+x+x^2}}{-5+x+x^2} \, dx","Integrate[(-5 + x + x^2 + (E^(E^x^2 + E^(E^E^x^2/(-5 + x + x^2)) + E^E^x^2/(-5 + x + x^2))*(1 + 2*x + E^x^2*(10*x - 2*x^2 - 2*x^3)))/(-5 + x + x^2))/(-5 + x + x^2),x]","x-e^{e^{\frac{e^{e^{x^2}}}{x^2+x-5}}}","x-e^{e^{\frac{e^{e^{x^2}}}{x^2+x-5}}}",1,"-E^E^(E^E^x^2/(-5 + x + x^2)) + x","A",1
6158,1,21,29,0.6657677,"\int \frac{45 x-40 x^2-9 x^3+(25-45 x) \log \left(\frac{1}{5} (5-9 x)\right)}{-5 x^4+9 x^5+\left(50 x^2-140 x^3+90 x^4\right) \log \left(\frac{1}{5} (5-9 x)\right)+\left(-125+475 x-575 x^2+225 x^3\right) \log ^2\left(\frac{1}{5} (5-9 x)\right)} \, dx","Integrate[(45*x - 40*x^2 - 9*x^3 + (25 - 45*x)*Log[(5 - 9*x)/5])/(-5*x^4 + 9*x^5 + (50*x^2 - 140*x^3 + 90*x^4)*Log[(5 - 9*x)/5] + (-125 + 475*x - 575*x^2 + 225*x^3)*Log[(5 - 9*x)/5]^2),x]","\frac{x}{x^2+5 (x-1) \log \left(1-\frac{9 x}{5}\right)}","\frac{x}{x^2-5 (1-x) \log \left(\frac{x+5}{5}-2 x\right)}+4",1,"x/(x^2 + 5*(-1 + x)*Log[1 - (9*x)/5])","A",1
6159,1,27,32,0.1657748,"\int \frac{1}{5} \exp \left(\exp \left(\frac{1}{25} \left(3600 x^2+1200 x^3+100 x^4+e^6 \left(144+48 x+4 x^2\right)+e^3 \left(1440 x+480 x^2+40 x^3\right)\right)\right)\right) \left(-25+\exp \left(\frac{1}{25} \left(3600 x^2+1200 x^3+100 x^4+e^6 \left(144+48 x+4 x^2\right)+e^3 \left(1440 x+480 x^2+40 x^3\right)\right)\right) \left(14400 x-2800 x^3-400 x^4+e^6 \left(96-32 x-8 x^2\right)+e^3 \left(2880+480 x-720 x^2-120 x^3\right)\right)\right) \, dx","Integrate[(E^E^((3600*x^2 + 1200*x^3 + 100*x^4 + E^6*(144 + 48*x + 4*x^2) + E^3*(1440*x + 480*x^2 + 40*x^3))/25)*(-25 + E^((3600*x^2 + 1200*x^3 + 100*x^4 + E^6*(144 + 48*x + 4*x^2) + E^3*(1440*x + 480*x^2 + 40*x^3))/25)*(14400*x - 2800*x^3 - 400*x^4 + E^6*(96 - 32*x - 8*x^2) + E^3*(2880 + 480*x - 720*x^2 - 120*x^3))))/5,x]","-5 e^{e^{\frac{4}{25} (x+6)^2 \left(5 x+e^3\right)^2}} (x-2)","5 e^{e^{(x+6)^2 \left(2 x+\frac{2 e^3}{5}\right)^2}} (2-x)+2",1,"-5*E^E^((4*(6 + x)^2*(E^3 + 5*x)^2)/25)*(-2 + x)","A",1
6160,1,8,8,0.0017721,"\int \frac{1}{5} e^x (-1-x) \, dx","Integrate[(E^x*(-1 - x))/5,x]","-\frac{e^x x}{5}","-\frac{e^x x}{5}",1,"-1/5*(E^x*x)","A",1
6161,1,28,28,5.0731796,"\int \frac{\left(-20 x-10 x^2+10 x^3+e^4 \left(-20-10 x+10 x^2\right)+\left(-10 e^4-10 x\right) \log (4)\right) \log \left(\frac{5+x}{x}\right)+\left(-10 x-2 x^2-5 x^3-x^4+e^4 \left(5 x-9 x^2-2 x^3\right)+\left(-5 x-x^2\right) \log (4)\right) \log ^2\left(\frac{5+x}{x}\right)}{5 x^3+x^4+e^8 \left(5 x+x^2\right)+e^4 \left(10 x^2+2 x^3\right)} \, dx","Integrate[((-20*x - 10*x^2 + 10*x^3 + E^4*(-20 - 10*x + 10*x^2) + (-10*E^4 - 10*x)*Log[4])*Log[(5 + x)/x] + (-10*x - 2*x^2 - 5*x^3 - x^4 + E^4*(5*x - 9*x^2 - 2*x^3) + (-5*x - x^2)*Log[4])*Log[(5 + x)/x]^2)/(5*x^3 + x^4 + E^8*(5*x + x^2) + E^4*(10*x^2 + 2*x^3)),x]","\frac{\left(-x^2+x+2+\log (4)\right) \log ^2\left(\frac{x+5}{x}\right)}{x+e^4}","\frac{\left(-x^2+x+2+\log (4)\right) \log ^2\left(\frac{x+5}{x}\right)}{x+e^4}",1,"((2 + x - x^2 + Log[4])*Log[(5 + x)/x]^2)/(E^4 + x)","A",1
6162,1,18,23,0.0055917,"\int \frac{-4+16 x^2}{x+5 x^2+4 x^3} \, dx","Integrate[(-4 + 16*x^2)/(x + 5*x^2 + 4*x^3),x]","4 \log \left(4 x^2+5 x+1\right)-4 \log (x)","\log \left(\frac{e^{4 e^9} \left((-2 x-1)^2+x\right)^4}{x^4}\right)",1,"-4*Log[x] + 4*Log[1 + 5*x + 4*x^2]","A",1
6163,1,25,24,0.0351372,"\int \frac{-81 e^{4+x}+675 e^9 x^2}{81 e^{2 x}+625 e^{10} x^6+e^x \left(-450 e^5 x^3-162 \log (8)\right)+450 e^5 x^3 \log (8)+81 \log ^2(8)} \, dx","Integrate[(-81*E^(4 + x) + 675*E^9*x^2)/(81*E^(2*x) + 625*E^10*x^6 + E^x*(-450*E^5*x^3 - 162*Log[8]) + 450*E^5*x^3*Log[8] + 81*Log[8]^2),x]","-\frac{9 e^4}{25 e^5 x^3-9 e^x+9 \log (8)}","\frac{e^4}{-\frac{25}{9} e^5 x^3+e^x-\log (8)}",1,"(-9*E^4)/(-9*E^x + 25*E^5*x^3 + 9*Log[8])","A",1
6164,1,29,32,0.255692,"\int \frac{e^x+e^x \log \left(\frac{x}{2}\right)-18 \log \left(\frac{x}{2}\right) \log \left(\frac{x \log \left(\frac{x}{2}\right)}{-4+\log (2)}\right)+e^x (-1+x) \log \left(\frac{x}{2}\right) \log \left(\frac{x \log \left(\frac{x}{2}\right)}{-4+\log (2)}\right) \log \left(\log \left(\frac{x \log \left(\frac{x}{2}\right)}{-4+\log (2)}\right)\right)}{6 x^2 \log \left(\frac{x}{2}\right) \log \left(\frac{x \log \left(\frac{x}{2}\right)}{-4+\log (2)}\right)} \, dx","Integrate[(E^x + E^x*Log[x/2] - 18*Log[x/2]*Log[(x*Log[x/2])/(-4 + Log[2])] + E^x*(-1 + x)*Log[x/2]*Log[(x*Log[x/2])/(-4 + Log[2])]*Log[Log[(x*Log[x/2])/(-4 + Log[2])]])/(6*x^2*Log[x/2]*Log[(x*Log[x/2])/(-4 + Log[2])]),x]","\frac{e^x \log \left(\log \left(\frac{x \log \left(\frac{x}{2}\right)}{\log (2)-4}\right)\right)+18}{6 x}","\frac{\frac{1}{3} e^x \log \left(\log \left(\frac{x \log \left(\frac{x}{2}\right)}{\log (2)-4}\right)\right)+6}{2 x}",1,"(18 + E^x*Log[Log[(x*Log[x/2])/(-4 + Log[2])]])/(6*x)","A",1
6165,1,35,28,0.1109195,"\int \frac{\left(4624+272 x^2-96 e^{3/x} x^3+4 x^4+4 e^{4/x} x^4+e^{\frac{1}{x}} \left(-3264 x-96 x^3\right)+e^{2/x} \left(848 x^2+8 x^4\right)\right) \log ^3\left(\frac{x}{16}\right)+\left(136 x^2+4 x^4+e^{\frac{1}{x}} \left(816-816 x+24 x^2-72 x^3\right)+e^{3/x} \left(72 x^2-72 x^3\right)+e^{4/x} \left(-4 x^3+4 x^4\right)+e^{2/x} \left(-424 x+424 x^2-4 x^3+8 x^4\right)\right) \log ^4\left(\frac{x}{16}\right)}{x} \, dx","Integrate[((4624 + 272*x^2 - 96*E^(3/x)*x^3 + 4*x^4 + 4*E^(4/x)*x^4 + E^x^(-1)*(-3264*x - 96*x^3) + E^(2/x)*(848*x^2 + 8*x^4))*Log[x/16]^3 + (136*x^2 + 4*x^4 + E^x^(-1)*(816 - 816*x + 24*x^2 - 72*x^3) + E^(3/x)*(72*x^2 - 72*x^3) + E^(4/x)*(-4*x^3 + 4*x^4) + E^(2/x)*(-424*x + 424*x^2 - 4*x^3 + 8*x^4))*Log[x/16]^4)/x,x]","\left(e^{2/x} x^2+x^2-12 e^{\frac{1}{x}} x+34\right)^2 \log ^4\left(\frac{x}{16}\right)","\left(x^2+\left(6-e^{\frac{1}{x}} x\right)^2-2\right)^2 \log ^4\left(\frac{x}{16}\right)",1,"(34 - 12*E^x^(-1)*x + x^2 + E^(2/x)*x^2)^2*Log[x/16]^4","A",1
6166,1,28,25,0.0497128,"\int \frac{1+e^4 \log (x)+\left(6+6 e^4+\left(1+7 e^4\right) \log (x)+e^4 \log ^2(x)\right) \log \left(\frac{5+\log (2)}{6+\log (x)}\right)}{\left(6 x+\left(x+6 e^4 x\right) \log (x)+e^4 x \log ^2(x)\right) \log \left(\frac{5+\log (2)}{6+\log (x)}\right)} \, dx","Integrate[(1 + E^4*Log[x] + (6 + 6*E^4 + (1 + 7*E^4)*Log[x] + E^4*Log[x]^2)*Log[(5 + Log[2])/(6 + Log[x])])/((6*x + (x + 6*E^4*x)*Log[x] + E^4*x*Log[x]^2)*Log[(5 + Log[2])/(6 + Log[x])]),x]","\log (x)+\log \left(e^4 \log (x)+1\right)-\log \left(\log \left(\frac{5+\log (2)}{\log (x)+6}\right)\right)+6","\log \left(\frac{x+e^4 x \log (x)}{\log \left(\frac{5+\log (2)}{\log (x)+6}\right)}\right)",1,"6 + Log[x] + Log[1 + E^4*Log[x]] - Log[Log[(5 + Log[2])/(6 + Log[x])]]","A",1
6167,1,85,24,0.115476,"\int \frac{\left(2 x-x^2-x^3\right) \log (5)+\left(4+12 x+12 x^2+4 x^3\right) \log \left(\frac{18+9 x}{x}\right)}{2 x+7 x^2+9 x^3+5 x^4+x^5} \, dx","Integrate[((2*x - x^2 - x^3)*Log[5] + (4 + 12*x + 12*x^2 + 4*x^3)*Log[(18 + 9*x)/x])/(2*x + 7*x^2 + 9*x^3 + 5*x^4 + x^5),x]","2 \text{Li}_2\left(-\frac{2}{x}\right)-2 \text{Li}_2\left(\frac{x+2}{2}\right)+\log ^2(-x-2)-2 \log \left(-\frac{x}{2}\right) \log (-x-2)-2 \log \left(\frac{9 (x+2)}{x}\right) \log (-x-2)+2 \log (9) \log (x)-\frac{\log (25)}{2 (x+1)^2}+\frac{\log (5)}{x+1}","-\log ^2\left(\frac{9 (x+2)}{x}\right)+\frac{x \log (5)}{(x+1)^2}+3",1,"Log[5]/(1 + x) - Log[25]/(2*(1 + x)^2) + Log[-2 - x]^2 - 2*Log[-2 - x]*Log[-1/2*x] + 2*Log[9]*Log[x] - 2*Log[-2 - x]*Log[(9*(2 + x))/x] + 2*PolyLog[2, -2/x] - 2*PolyLog[2, (2 + x)/2]","C",1
6168,1,28,25,0.8607011,"\int \frac{625 e^x+e^x (-625-625 x) \log (x) \log (\log (x))+(625-1250 x) \log (x) \log ^2(\log (x))}{625 e^{2 x} x^2 \log (x)+e^x \left(-50 x-1250 x^2+1250 x^3\right) \log (x) \log (\log (x))+\left(1+50 x+575 x^2-1250 x^3+625 x^4\right) \log (x) \log ^2(\log (x))} \, dx","Integrate[(625*E^x + E^x*(-625 - 625*x)*Log[x]*Log[Log[x]] + (625 - 1250*x)*Log[x]*Log[Log[x]]^2)/(625*E^(2*x)*x^2*Log[x] + E^x*(-50*x - 1250*x^2 + 1250*x^3)*Log[x]*Log[Log[x]] + (1 + 50*x + 575*x^2 - 1250*x^3 + 625*x^4)*Log[x]*Log[Log[x]]^2),x]","\frac{25 \log (\log (x))}{\left(25 x^2-25 x-1\right) \log (\log (x))+25 e^x x}","\frac{1}{x \left(x-\frac{1}{25 x}+\frac{e^x}{\log (\log (x))}-1\right)}",1,"(25*Log[Log[x]])/(25*E^x*x + (-1 - 25*x + 25*x^2)*Log[Log[x]])","A",1
6169,1,28,20,0.0568759,"\int \frac{8+8 x+2 x^2+e^{\frac{5 x}{2+x}} \left(18+28 x+2 x^2\right)}{4+4 x+x^2} \, dx","Integrate[(8 + 8*x + 2*x^2 + E^((5*x)/(2 + x))*(18 + 28*x + 2*x^2))/(4 + 4*x + x^2),x]","2 x+\frac{1}{5} e^{-5 \left(\frac{2}{x+2}-1\right)} (10 (x+2)-15)","\left(\frac{1}{x}+2\right) \left(e^{\frac{5 x}{x+2}} x+x\right)",1,"2*x + (-15 + 10*(2 + x))/(5*E^(5*(-1 + 2/(2 + x))))","A",1
6170,1,81,26,0.0369977,"\int \frac{5 x^6+48 x^7+112 x^8+\left(80-40 x^5-384 x^6-896 x^7\right) \log (3)+\left(80 x^4+768 x^5+1792 x^6\right) \log ^2(3)}{x^2-8 x \log (3)+16 \log ^2(3)} \, dx","Integrate[(5*x^6 + 48*x^7 + 112*x^8 + (80 - 40*x^5 - 384*x^6 - 896*x^7)*Log[3] + (80*x^4 + 768*x^5 + 1792*x^6)*Log[3]^2)/(x^2 - 8*x*Log[3] + 16*Log[3]^2),x]","\frac{16 x^8+x^7 (8-64 \log (3))+x^6 (1-32 \log (3))-4 x^5 \log (3)-1024 x \log ^5(3) (1+16 \log (3))^2+16 \log (3) \left(-5+65536 \log ^7(3)+8192 \log ^6(3)+256 \log ^5(3)\right)}{x-4 \log (3)}","(4 x+1)^2 x^5+\frac{20 x}{4 \log (3)-x}-2",1,"(16*x^8 + x^7*(8 - 64*Log[3]) + x^6*(1 - 32*Log[3]) - 4*x^5*Log[3] - 1024*x*Log[3]^5*(1 + 16*Log[3])^2 + 16*Log[3]*(-5 + 256*Log[3]^5 + 8192*Log[3]^6 + 65536*Log[3]^7))/(x - 4*Log[3])","B",1
6171,1,24,24,0.4047373,"\int \frac{24 x+4 e^{\frac{-3+x^2}{x}} x-8 x^2+\left(-2 x^2+e^{\frac{-3+x^2}{x}} \left(3+x^2\right)\right) \log \left(\frac{x^4}{16}\right) \log \left(\log \left(\frac{x^4}{16}\right)\right)}{x^2 \log \left(\frac{x^4}{16}\right)} \, dx","Integrate[(24*x + 4*E^((-3 + x^2)/x)*x - 8*x^2 + (-2*x^2 + E^((-3 + x^2)/x)*(3 + x^2))*Log[x^4/16]*Log[Log[x^4/16]])/(x^2*Log[x^4/16]),x]","\left(-2 x+e^{x-\frac{3}{x}}+6\right) \log \left(\log \left(\frac{x^4}{16}\right)\right)","\left(-2 x+e^{x-\frac{3}{x}}+6\right) \log \left(\log \left(\frac{x^4}{16}\right)\right)",1,"(6 + E^(-3/x + x) - 2*x)*Log[Log[x^4/16]]","A",1
6172,1,51,25,0.1436428,"\int \frac{48-26 x+4 x^2+\left(16-11 x+2 x^2\right) \log (x)+(12-4 x+(4-2 x) \log (x)) \log \left(\frac{1}{4} \left(4 x^2+4 x^2 \log (x)+x^2 \log ^2(x)\right)\right)}{2 x+x \log (x)} \, dx","Integrate[(48 - 26*x + 4*x^2 + (16 - 11*x + 2*x^2)*Log[x] + (12 - 4*x + (4 - 2*x)*Log[x])*Log[(4*x^2 + 4*x^2*Log[x] + x^2*Log[x]^2)/4])/(2*x + x*Log[x]),x]","x^2+\log ^2\left(\frac{1}{4} x^2 (\log (x)+2)^2\right)-2 x \log \left(\frac{1}{4} x^2 (\log (x)+2)^2\right)-7 x+16 \log (x)+16 \log (\log (x)+2)","\left(\log \left(x^2 \left(-\frac{\log (x)}{2}-1\right)^2\right)-x+4\right)^2+x+5",1,"-7*x + x^2 + 16*Log[x] + 16*Log[2 + Log[x]] - 2*x*Log[(x^2*(2 + Log[x])^2)/4] + Log[(x^2*(2 + Log[x])^2)/4]^2","B",1
6173,1,21,23,0.3752762,"\int \frac{e^{\frac{1+32 e^{2 x} x+256 e^{4 x} x^2}{8 x^2}} \left(-1+512 e^{4 x} x^3+e^{2 x} \left(-16 x+32 x^2\right)\right)}{4 x^3} \, dx","Integrate[(E^((1 + 32*E^(2*x)*x + 256*E^(4*x)*x^2)/(8*x^2))*(-1 + 512*E^(4*x)*x^3 + E^(2*x)*(-16*x + 32*x^2)))/(4*x^3),x]","e^{\frac{\left(16 e^{2 x} x+1\right)^2}{8 x^2}}","e^{2 \left(4 e^{2 x}+\frac{1}{4 x}\right)^2}+2",1,"E^((1 + 16*E^(2*x)*x)^2/(8*x^2))","A",1
6174,1,51,34,0.1725941,"\int \frac{20+5 x+12 x^3+3 x^4+e^x \left(12 x^2+3 x^3\right)+\left(-20+24 x^3+9 x^4+e^x \left(12 x^2+18 x^3+3 x^4\right)\right) \log (x)+\left(-400-480 x^3-144 e^{2 x} x^4-144 x^6+e^x \left(-480 x^2-288 x^5\right)\right) \log ^2(x)}{x^2+\left(-80 x+20 x^2-48 x^4+12 x^5+e^x \left(-48 x^3+12 x^4\right)\right) \log (x)+\left(1600-800 x+100 x^2+1920 x^3-960 x^4+120 x^5+576 x^6-288 x^7+36 x^8+e^{2 x} \left(576 x^4-288 x^5+36 x^6\right)+e^x \left(1920 x^2-960 x^3+120 x^4+1152 x^5-576 x^6+72 x^7\right)\right) \log ^2(x)} \, dx","Integrate[(20 + 5*x + 12*x^3 + 3*x^4 + E^x*(12*x^2 + 3*x^3) + (-20 + 24*x^3 + 9*x^4 + E^x*(12*x^2 + 18*x^3 + 3*x^4))*Log[x] + (-400 - 480*x^3 - 144*E^(2*x)*x^4 - 144*x^6 + E^x*(-480*x^2 - 288*x^5))*Log[x]^2)/(x^2 + (-80*x + 20*x^2 - 48*x^4 + 12*x^5 + E^x*(-48*x^3 + 12*x^4))*Log[x] + (1600 - 800*x + 100*x^2 + 1920*x^3 - 960*x^4 + 120*x^5 + 576*x^6 - 288*x^7 + 36*x^8 + E^(2*x)*(576*x^4 - 288*x^5 + 36*x^6) + E^x*(1920*x^2 - 960*x^3 + 120*x^4 + 1152*x^5 - 576*x^6 + 72*x^7))*Log[x]^2),x]","-\frac{x-16 \left(3 x^3+3 e^x x^2+5\right) \log (x)}{2 \left(2 (x-4) \left(3 x^3+3 e^x x^2+5\right) \log (x)+x\right)}","\frac{x+4}{\frac{x}{\left(3 \left(x+e^x\right) x^2+5\right) \log (x)}+2 (x-4)}+1",1,"-1/2*(x - 16*(5 + 3*E^x*x^2 + 3*x^3)*Log[x])/(x + 2*(-4 + x)*(5 + 3*E^x*x^2 + 3*x^3)*Log[x])","A",1
6175,1,40,20,0.013867,"\int \frac{-27 x+42 x^2-9 x^3+(12-3 x) \log (20-5 x)}{-4+x} \, dx","Integrate[(-27*x + 42*x^2 - 9*x^3 + (12 - 3*x)*Log[20 - 5*x])/(-4 + x),x]","-3 (x-4)^3-33 (x-4)^2-123 (x-4)+3 x-3 (x-4) \log (-5 (x-4))-12 \log (x-4)","3 x \left(-x^2+x-\log (5 (4-x))\right)",1,"-123*(-4 + x) - 33*(-4 + x)^2 - 3*(-4 + x)^3 + 3*x - 3*(-4 + x)*Log[-5*(-4 + x)] - 12*Log[-4 + x]","A",1
6176,1,39,32,0.215638,"\int \frac{8 x^2 \log (x)+\exp \left(\frac{2 \left(9-x+3 x^2-6 x \log (\log (x))+3 \log ^2(\log (x))\right)}{x}\right) \left(96 x+\left(144-48 x^2\right) \log (x)-96 \log (\log (x))+48 \log (x) \log ^2(\log (x))\right)}{\exp \left(\frac{6 \left(9-x+3 x^2-6 x \log (\log (x))+3 \log ^2(\log (x))\right)}{x}\right) x^2 \log (x)-3 \exp \left(\frac{4 \left(9-x+3 x^2-6 x \log (\log (x))+3 \log ^2(\log (x))\right)}{x}\right) x^3 \log (x)+3 \exp \left(\frac{2 \left(9-x+3 x^2-6 x \log (\log (x))+3 \log ^2(\log (x))\right)}{x}\right) x^4 \log (x)-x^5 \log (x)} \, dx","Integrate[(8*x^2*Log[x] + E^((2*(9 - x + 3*x^2 - 6*x*Log[Log[x]] + 3*Log[Log[x]]^2))/x)*(96*x + (144 - 48*x^2)*Log[x] - 96*Log[Log[x]] + 48*Log[x]*Log[Log[x]]^2))/(E^((6*(9 - x + 3*x^2 - 6*x*Log[Log[x]] + 3*Log[Log[x]]^2))/x)*x^2*Log[x] - 3*E^((4*(9 - x + 3*x^2 - 6*x*Log[Log[x]] + 3*Log[Log[x]]^2))/x)*x^3*Log[x] + 3*E^((2*(9 - x + 3*x^2 - 6*x*Log[Log[x]] + 3*Log[Log[x]]^2))/x)*x^4*Log[x] - x^5*Log[x]),x]","\frac{4 e^4 \log ^{24}(x)}{\left(e^{\frac{6 \left(x^2+\log ^2(\log (x))+3\right)}{x}}-e^2 x \log ^{12}(x)\right)^2}","\frac{4}{\left(x-e^{\frac{2 \left(3 \left((\log (\log (x))-x)^2+3\right)-x\right)}{x}}\right)^2}",1,"(4*E^4*Log[x]^24)/(E^((6*(3 + x^2 + Log[Log[x]]^2))/x) - E^2*x*Log[x]^12)^2","A",1
6177,1,16,20,0.0439698,"\int \frac{-8+8 x}{\left(-x+2 x^2\right) \log \left(\frac{50-100 x}{3 x^2}\right)} \, dx","Integrate[(-8 + 8*x)/((-x + 2*x^2)*Log[(50 - 100*x)/(3*x^2)]),x]","-4 \log \left(\log \left(-\frac{50 (2 x-1)}{3 x^2}\right)\right)","4 \left(2-\log \left(\log \left(\frac{50 (1-2 x)}{3 x^2}\right)\right)\right)",1,"-4*Log[Log[(-50*(-1 + 2*x))/(3*x^2)]]","A",1
6178,1,28,31,1.2543493,"\int \frac{e^{-x} \left(-24-30 x-6 x^2+e^x \left(-100 x^3-108 x^4-33 x^5-2 x^6+e^2 \left(-4 x^3-4 x^4-x^5\right)\right)\right)}{4 x^3+4 x^4+x^5} \, dx","Integrate[(-24 - 30*x - 6*x^2 + E^x*(-100*x^3 - 108*x^4 - 33*x^5 - 2*x^6 + E^2*(-4*x^3 - 4*x^4 - x^5)))/(E^x*(4*x^3 + 4*x^4 + x^5)),x]","\frac{6 e^{-x}}{(x+2) x^2}-((x+25) x)-e^2 x","x \left(\frac{6 e^{-x}}{((x+1) x+x) x^2}-x-e^2-25\right)",1,"-(E^2*x) + 6/(E^x*x^2*(2 + x)) - x*(25 + x)","A",1
6179,1,51,27,0.1137439,"\int \frac{-50+e^{12} (-5-2 x)+20 x+5 x^3+2 x^4+e^{3 x^2} \left(5+2 e^{20}+2 x\right)+e^8 \left(-10+15 x+6 x^2\right)+e^4 \left(-20+10 x-15 x^2-6 x^3\right)+e^{2 x^2} \left(-10+e^4 (-15-6 x)+55 x+26 x^2+e^{20} \left(-6 e^4+26 x\right)\right)+e^{20} \left(-2 e^{12}+10 x+6 e^8 x+2 x^3+e^4 \left(-10-6 x^2\right)\right)+e^{x^2} \left(20-110 x+55 x^2+26 x^3+e^8 (15+6 x)+e^4 \left(20-70 x-32 x^2\right)+e^{20} \left(10+6 e^8-32 e^4 x+26 x^2\right)\right)}{-e^{12}+e^{3 x^2}+3 e^8 x-3 e^4 x^2+x^3+e^{2 x^2} \left(-3 e^4+3 x\right)+e^{x^2} \left(3 e^8-6 e^4 x+3 x^2\right)} \, dx","Integrate[(-50 + E^12*(-5 - 2*x) + 20*x + 5*x^3 + 2*x^4 + E^(3*x^2)*(5 + 2*E^20 + 2*x) + E^8*(-10 + 15*x + 6*x^2) + E^4*(-20 + 10*x - 15*x^2 - 6*x^3) + E^(2*x^2)*(-10 + E^4*(-15 - 6*x) + 55*x + 26*x^2 + E^20*(-6*E^4 + 26*x)) + E^20*(-2*E^12 + 10*x + 6*E^8*x + 2*x^3 + E^4*(-10 - 6*x^2)) + E^x^2*(20 - 110*x + 55*x^2 + 26*x^3 + E^8*(15 + 6*x) + E^4*(20 - 70*x - 32*x^2) + E^20*(10 + 6*E^8 - 32*E^4*x + 26*x^2)))/(-E^12 + E^(3*x^2) + 3*E^8*x - 3*E^4*x^2 + x^3 + E^(2*x^2)*(-3*E^4 + 3*x) + E^x^2*(3*E^8 - 6*E^4*x + 3*x^2)),x]","x^2-\frac{10 \left(x+e^{20}+2\right)}{e^{x^2}+x-e^4}+\frac{25}{\left(e^{x^2}+x-e^4\right)^2}+\left(5+2 e^{20}\right) x","\left(-\frac{5}{e^{x^2}+x-e^4}+x+e^{20}+2\right)^2+x+3",1,"(5 + 2*E^20)*x + x^2 + 25/(-E^4 + E^x^2 + x)^2 - (10*(2 + E^20 + x))/(-E^4 + E^x^2 + x)","A",1
6180,1,13,21,0.0007282,"\int \frac{1}{16} (1-31 x) \, dx","Integrate[(1 - 31*x)/16,x]","\frac{1}{16} \left(x-\frac{31 x^2}{2}\right)","x \left(\frac{1}{64} (2 x+4)-x\right)+\sqrt[16]{e}",1,"(x - (31*x^2)/2)/16","A",1
6181,1,12,16,0.0032399,"\int \frac{51 e^4}{400+e^4 (800+51 x)} \, dx","Integrate[(51*E^4)/(400 + E^4*(800 + 51*x)),x]","\log \left(e^4 (51 x+800)+400\right)","\log \left(\frac{51 x}{25}+16 \left(2+\frac{1}{e^4}\right)\right)+2",1,"Log[400 + E^4*(800 + 51*x)]","A",1
6182,1,65,30,0.0794378,"\int \frac{1}{16} \left(23 x^2+60 x^3-200 x^4+120 x^5+\left(10 x+60 x^2-80 x^3\right) \log (x)+10 x \log ^2(x)+x^{2 x} \left(40 x+40 x^2+40 x^2 \log (x)\right)+x^x \left(-20 x-120 x^2+120 x^3+40 x^4+\left(-40 x-20 x^2-40 x^3+40 x^4\right) \log (x)-20 x^2 \log ^2(x)\right)\right) \, dx","Integrate[(23*x^2 + 60*x^3 - 200*x^4 + 120*x^5 + (10*x + 60*x^2 - 80*x^3)*Log[x] + 10*x*Log[x]^2 + x^(2*x)*(40*x + 40*x^2 + 40*x^2*Log[x]) + x^x*(-20*x - 120*x^2 + 120*x^3 + 40*x^4 + (-40*x - 20*x^2 - 40*x^3 + 40*x^4)*Log[x] - 20*x^2*Log[x]^2))/16,x]","\frac{1}{16} x^2 \left(20 x^{2 x}-40 x^{x+1}+40 x^{x+2}+20 x^4-40 x^3+20 x^2-20 \left(x^x+x^2-x\right) \log (x)+x+5 \log ^2(x)\right)","\frac{1}{16} x^2 \left(5 \left(2 \left(-x^x-x^2+x\right)+\log (x)\right)^2+x\right)",1,"(x^2*(x + 20*x^2 - 40*x^3 + 20*x^4 + 20*x^(2*x) - 40*x^(1 + x) + 40*x^(2 + x) - 20*(-x + x^2 + x^x)*Log[x] + 5*Log[x]^2))/16","B",1
6183,1,27,21,0.2153438,"\int \frac{2+e^x-8 x+18 x^2-16 x^3+5 x^4}{-9+e^x+2 x-4 x^2+6 x^3-4 x^4+x^5} \, dx","Integrate[(2 + E^x - 8*x + 18*x^2 - 16*x^3 + 5*x^4)/(-9 + E^x + 2*x - 4*x^2 + 6*x^3 - 4*x^4 + x^5),x]","\log \left(x^5-4 x^4+6 x^3-4 x^2+2 x+e^x-9\right)","\log \left(x \left(-x^2+2 x-1\right)^2+e^x+x-9\right)",1,"Log[-9 + E^x + 2*x - 4*x^2 + 6*x^3 - 4*x^4 + x^5]","A",1
6184,1,20,22,5.0292546,"\int \frac{-11 x-3 e^x x+\left(22 x-22 x^2+e^x \left(6 x-3 x^2-3 x^3\right)\right) \log \left(\frac{-1+x}{x}\right)}{-1+x} \, dx","Integrate[(-11*x - 3*E^x*x + (22*x - 22*x^2 + E^x*(6*x - 3*x^2 - 3*x^3))*Log[(-1 + x)/x])/(-1 + x),x]","-\left(\left(3 e^x+11\right) x^2 \log \left(\frac{x-1}{x}\right)\right)","-\left(\left(3 \left(e^x+3\right)+2\right) x^2 \log \left(\frac{x-1}{x}\right)\right)",1,"-((11 + 3*E^x)*x^2*Log[(-1 + x)/x])","A",1
6185,1,27,20,0.0163582,"\int \frac{1+e^{8/3} (-7-2 x)-7 x-2 x^2}{e^{8/3}+x} \, dx","Integrate[(1 + E^(8/3)*(-7 - 2*x) - 7*x - 2*x^2)/(E^(8/3) + x),x]","-x (x+7)+\log \left(x+e^{8/3}\right)+e^{16/3}-7 e^{8/3}","-(x+3)^2-x+\log \left(x+e^{8/3}\right)+10",1,"-7*E^(8/3) + E^(16/3) - x*(7 + x) + Log[E^(8/3) + x]","A",1
6186,1,32,27,0.0132579,"\int \frac{3970-2520 x-9360 x^2-6400 x^3-1440 x^4}{-33-463 x-315 x^2+298 x^3+316 x^4+72 x^5} \, dx","Integrate[(3970 - 2520*x - 9360*x^2 - 6400*x^3 - 1440*x^4)/(-33 - 463*x - 315*x^2 + 298*x^3 + 316*x^4 + 72*x^5),x]","-10 \left(\log \left(-36 x^4-104 x^3+7 x^2+147 x+11\right)-2 \log (2 x+3)\right)","5 \log \left(\frac{2}{\left(\left(3 x-\frac{5}{2 x+3}\right)^2-x-4\right)^2}\right)",1,"-10*(-2*Log[3 + 2*x] + Log[11 + 147*x + 7*x^2 - 104*x^3 - 36*x^4])","A",1
6187,1,51,29,0.1502978,"\int \frac{-70 x-5 x^2+10 x^3+e^{-2+5 x+x^2} \left(-15+14 x-6 x^2+x^3\right)-5 e^{-2+5 x+x^2} x \log (x)}{15 x-5 x^2+e^{-2+5 x+x^2} \left(9 x^2-6 x^3+x^4\right)+e^{-2+5 x+x^2} \left(-15 x+5 x^2\right) \log (x)} \, dx","Integrate[(-70*x - 5*x^2 + 10*x^3 + E^(-2 + 5*x + x^2)*(-15 + 14*x - 6*x^2 + x^3) - 5*E^(-2 + 5*x + x^2)*x*Log[x])/(15*x - 5*x^2 + E^(-2 + 5*x + x^2)*(9*x^2 - 6*x^3 + x^4) + E^(-2 + 5*x + x^2)*(-15*x + 5*x^2)*Log[x]),x]","-\frac{1}{4} (2 x+5)^2-\log (3-x)+\log \left(-e^{x (x+5)} (x-3) x-5 e^{x (x+5)} \log (x)+5 e^2\right)","\log \left(\frac{1}{4} \left(x+\frac{5 \left(\log (x)-e^{2-x (x+5)}\right)}{x-3}\right)\right)",1,"-1/4*(5 + 2*x)^2 - Log[3 - x] + Log[5*E^2 - E^(x*(5 + x))*(-3 + x)*x - 5*E^(x*(5 + x))*Log[x]]","A",1
6188,1,26,26,0.339741,"\int \frac{x+x^3-3 x^4-2 x \log (x)}{4 x^4-12 x^5+9 x^6+\left(4 x^2-6 x^3+4 x^4-6 x^5\right) \log (x)+\left(1+2 x^2+x^4\right) \log ^2(x)} \, dx","Integrate[(x + x^3 - 3*x^4 - 2*x*Log[x])/(4*x^4 - 12*x^5 + 9*x^6 + (4*x^2 - 6*x^3 + 4*x^4 - 6*x^5)*Log[x] + (1 + 2*x^2 + x^4)*Log[x]^2),x]","-\frac{x^2}{-3 x^3+2 x^2+x^2 \log (x)+\log (x)}","\frac{1}{-\frac{\log (x)}{x^2}+3 x-\log (x)-2}+i \pi +\log (4)",1,"-(x^2/(2*x^2 - 3*x^3 + Log[x] + x^2*Log[x]))","A",1
6189,1,29,23,0.0397412,"\int \frac{e^{e^x x} \left(5+e^x+x\right) \left(1+e^{2 x} (1+x)+e^x \left(6+6 x+x^2\right)\right)+2 e^x x \log ^2(7)+\left(10 x+2 x^2\right) \log ^2(7)}{5+e^x+x} \, dx","Integrate[(E^(E^x*x)*(5 + E^x + x)*(1 + E^(2*x)*(1 + x) + E^x*(6 + 6*x + x^2)) + 2*E^x*x*Log[7]^2 + (10*x + 2*x^2)*Log[7]^2)/(5 + E^x + x),x]","x^2 \log ^2(7)+e^{e^x x+x}+e^{e^x x} (x+5)","x^2 \log ^2(7)+e^{e^x x} \left(x+e^x+5\right)",1,"E^(x + E^x*x) + E^(E^x*x)*(5 + x) + x^2*Log[7]^2","A",1
6190,1,33,31,0.0511989,"\int \frac{x-2 x \log (x)+\left(9+e^x (-3-3 x)+e^{x^2} \left(-3-6 x^2\right)\right) \log ^2(x)+3 \log ^3(x)}{3 \log ^2(x)} \, dx","Integrate[(x - 2*x*Log[x] + (9 + E^x*(-3 - 3*x) + E^x^2*(-3 - 6*x^2))*Log[x]^2 + 3*Log[x]^3)/(3*Log[x]^2),x]","-e^{x^2} x-\frac{x^2}{3 \log (x)}-e^x x+2 x+x \log (x)","x \left(-e^{x^2}-e^x-\frac{x}{3 \log (x)}+\log (x)\right)+2 x+1",1,"2*x - E^x*x - E^x^2*x - x^2/(3*Log[x]) + x*Log[x]","A",1
6191,1,25,23,0.1763033,"\int \frac{-25-10 x+e^{2+x} \left(5-3 x-x^2\right)+e^x \left(-25+15 x+9 x^2+x^3\right)}{25 x^2+10 x^3+x^4} \, dx","Integrate[(-25 - 10*x + E^(2 + x)*(5 - 3*x - x^2) + E^x*(-25 + 15*x + 9*x^2 + x^3))/(25*x^2 + 10*x^3 + x^4),x]","\frac{e^x (x+5)-e^{x+2}+5}{x (x+5)}","\frac{-\frac{x+e^{x+2}}{x+5}+e^x+1}{x}",1,"(5 - E^(2 + x) + E^x*(5 + x))/(x*(5 + x))","A",1
6192,1,22,24,0.3079446,"\int \frac{e^x (3-5 x)+e^x (-1+2 x) \log (x)+(-3+2 x+(1-x) \log (x)) \log ^2(\log (3))}{4 e^x-4 e^x \log (x)+e^x \log ^2(x)} \, dx","Integrate[(E^x*(3 - 5*x) + E^x*(-1 + 2*x)*Log[x] + (-3 + 2*x + (1 - x)*Log[x])*Log[Log[3]]^2)/(4*E^x - 4*E^x*Log[x] + E^x*Log[x]^2),x]","\frac{x \left(x+e^{-x} \log ^2(\log (3))-1\right)}{\log (x)-2}","\frac{x \left(x+e^{-x} \log ^2(\log (3))-1\right)}{\log (x)-2}+1",1,"(x*(-1 + x + Log[Log[3]]^2/E^x))/(-2 + Log[x])","A",1
6193,1,41,25,0.0605501,"\int \frac{36+48 x+16 x^2+4 e^3 x^2+e^{3/2} \left(24 x+16 x^2\right)+\left(2 x^2+e^{3/2} x^2\right) \log (3)}{9 x^2+12 x^3+4 x^4+e^3 x^4+e^{3/2} \left(6 x^3+4 x^4\right)} \, dx","Integrate[(36 + 48*x + 16*x^2 + 4*E^3*x^2 + E^(3/2)*(24*x + 16*x^2) + (2*x^2 + E^(3/2)*x^2)*Log[3])/(9*x^2 + 12*x^3 + 4*x^4 + E^3*x^4 + E^(3/2)*(6*x^3 + 4*x^4)),x]","-\frac{4}{x}-\frac{e^{3/2} \log (3)+\log (9)}{\left(2+e^{3/2}\right) \left(\left(2+e^{3/2}\right) x+3\right)}","-\frac{4}{x}-\frac{\log (3)}{e^{3/2} x+2 x+3}-2",1,"-4/x - (E^(3/2)*Log[3] + Log[9])/((2 + E^(3/2))*(3 + (2 + E^(3/2))*x))","A",1
6194,1,28,27,0.1282608,"\int \frac{e^{e^{\frac{-e^{2-4 x-x^2}-4 x}{x}}} \left(-10 x+e^{2+\frac{-e^{2-4 x-x^2}-4 x}{x}-4 x-x^2} \left(10+40 x+20 x^2\right)\right)}{x^3} \, dx","Integrate[(E^E^((-E^(2 - 4*x - x^2) - 4*x)/x)*(-10*x + E^(2 + (-E^(2 - 4*x - x^2) - 4*x)/x - 4*x - x^2)*(10 + 40*x + 20*x^2)))/x^3,x]","\frac{10 e^{e^{-\frac{e^{-x^2-4 x+2}}{x}-4}}}{x}","\frac{10 e^{e^{-\frac{e^{(-x-4) x+2}}{x}-4}}}{x}",1,"(10*E^E^(-4 - E^(2 - 4*x - x^2)/x))/x","A",1
6195,1,35,29,0.0375156,"\int \frac{3 x^2+24 x^4+e^2 \left(2-x^2-8 x^4\right)+\left(6 x^2-2 e^2 x^2\right) \log (x)}{2 e^2 x} \, dx","Integrate[(3*x^2 + 24*x^4 + E^2*(2 - x^2 - 8*x^4) + (6*x^2 - 2*E^2*x^2)*Log[x])/(2*E^2*x),x]","-\frac{\left(e^2-3\right) x^4}{e^2}+\frac{\left(3-e^2\right) x^2 \log (x)}{2 e^2}+\log (x)","\frac{3 x \left(x-\frac{e^2 x}{3}\right) \left(x^2+\frac{\log (x)}{2}\right)}{e^2}+\log (x)",1,"-(((-3 + E^2)*x^4)/E^2) + Log[x] + ((3 - E^2)*x^2*Log[x])/(2*E^2)","A",1
6196,1,769,26,2.8522598,"\int \left(\left(3200 x+1600 x^2+200 x^3+e^x \left(-1280 x^2-1920 x^3-720 x^4-80 x^5\right)+e^{2 x} \left(128 x^3+320 x^4+264 x^5+80 x^6+8 x^7\right)\right) \log (x)+\left(3200 x+2400 x^2+400 x^3+e^x \left(-1920 x^2-4480 x^3-2760 x^4-600 x^5-40 x^6\right)+e^{2 x} \left(256 x^3+928 x^4+1112 x^5+544 x^6+112 x^7+8 x^8\right)\right) \log ^2(x)\right) \, dx","Integrate[(3200*x + 1600*x^2 + 200*x^3 + E^x*(-1280*x^2 - 1920*x^3 - 720*x^4 - 80*x^5) + E^(2*x)*(128*x^3 + 320*x^4 + 264*x^5 + 80*x^6 + 8*x^7))*Log[x] + (3200*x + 2400*x^2 + 400*x^3 + E^x*(-1920*x^2 - 4480*x^3 - 2760*x^4 - 600*x^5 - 40*x^6) + E^(2*x)*(256*x^3 + 928*x^4 + 1112*x^5 + 544*x^6 + 112*x^7 + 8*x^8))*Log[x]^2,x]","8 \left(\frac{x^{12}}{45}+\frac{17 x^{10}}{30}+\frac{89 x^8}{24}+\frac{1}{2} e^{2 x} x^8 \log ^2(x)+5 e^{2 x} x^7 \log ^2(x)-\frac{7 x^6}{3}-5 e^x x^6 \log ^2(x)+\frac{33}{2} e^{2 x} x^6 \log ^2(x)-\frac{e^{2 x} x^6 \Gamma (7,2 x)}{2880}-45 e^x x^5 \log ^2(x)+20 e^{2 x} x^5 \log ^2(x)-\frac{13}{960} e^{2 x} x^5 \Gamma (6,2 x)+\frac{1}{960} e^{2 x} x^5 \Gamma (7,2 x)-\frac{907 x^4}{16}-120 e^x x^4 \log ^2(x)+8 e^{2 x} x^4 \log ^2(x)+\frac{25}{2} x^4 \log ^2(x)+\frac{5}{12} e^x x^4 \Gamma (5,x)-\frac{9}{64} e^{2 x} x^4 \Gamma (5,2 x)+\frac{13}{384} e^{2 x} x^4 \Gamma (6,2 x)-\frac{1}{384} e^{2 x} x^4 \Gamma (7,2 x)-80 e^x x^3 \log ^2(x)+100 x^3 \log ^2(x)+\frac{20}{3} e^x x^3 \Gamma (4,x)-\frac{25}{96} e^{2 x} x^3 \Gamma (4,2 x)-\frac{5}{3} e^x x^3 \Gamma (5,x)+\frac{9}{32} e^{2 x} x^3 \Gamma (5,2 x)-\frac{13}{192} e^{2 x} x^3 \Gamma (6,2 x)+\frac{1}{192} e^{2 x} x^3 \Gamma (7,2 x)+\frac{1899 x^2}{8}+200 x^2 \log ^2(x)+480 x^2 \log (x)+40 e^x x^2 \Gamma (3,x)-\frac{7}{16} e^{2 x} x^2 \Gamma (3,2 x)-20 e^x x^2 \Gamma (4,x)+\frac{25}{64} e^{2 x} x^2 \Gamma (4,2 x)+5 e^x x^2 \Gamma (5,x)-\frac{27}{64} e^{2 x} x^2 \Gamma (5,2 x)+\frac{13}{128} e^{2 x} x^2 \Gamma (6,2 x)-\frac{1}{128} e^{2 x} x^2 \Gamma (7,2 x)-480 \log (x)-80 e^x x \Gamma (3,x)+\frac{7}{16} e^{2 x} x \Gamma (3,2 x)+40 e^x x \Gamma (4,x)-\frac{25}{64} e^{2 x} x \Gamma (4,2 x)-10 e^x x \Gamma (5,x)+\frac{27}{64} e^{2 x} x \Gamma (5,2 x)-\frac{13}{128} e^{2 x} x \Gamma (6,2 x)+\frac{1}{128} e^{2 x} x \Gamma (7,2 x)+\frac{21}{32} e^{2 x} (2 x-1) \Gamma (2,2 x)+80 e^x \Gamma (3,x)-\frac{7}{32} e^{2 x} \Gamma (3,2 x)-40 e^x \Gamma (4,x)+\frac{25}{128} e^{2 x} \Gamma (4,2 x)+10 e^x \Gamma (5,x)-\frac{27}{128} e^{2 x} \Gamma (5,2 x)+\frac{13}{256} e^{2 x} \Gamma (6,2 x)-\frac{1}{256} e^{2 x} \Gamma (7,2 x)-240 e^x (x-1) (2 \log (x)+1) \Gamma (2,x)-\frac{25491}{64}\right)","4 x^2 (x+4)^2 \left(e^x x (x+1)-5\right)^2 \log ^2(x)",1,"8*(-25491/64 + (1899*x^2)/8 - (907*x^4)/16 - (7*x^6)/3 + (89*x^8)/24 + (17*x^10)/30 + x^12/45 + (21*E^(2*x)*(-1 + 2*x)*Gamma[2, 2*x])/32 + 80*E^x*Gamma[3, x] - 80*E^x*x*Gamma[3, x] + 40*E^x*x^2*Gamma[3, x] - (7*E^(2*x)*Gamma[3, 2*x])/32 + (7*E^(2*x)*x*Gamma[3, 2*x])/16 - (7*E^(2*x)*x^2*Gamma[3, 2*x])/16 - 40*E^x*Gamma[4, x] + 40*E^x*x*Gamma[4, x] - 20*E^x*x^2*Gamma[4, x] + (20*E^x*x^3*Gamma[4, x])/3 + (25*E^(2*x)*Gamma[4, 2*x])/128 - (25*E^(2*x)*x*Gamma[4, 2*x])/64 + (25*E^(2*x)*x^2*Gamma[4, 2*x])/64 - (25*E^(2*x)*x^3*Gamma[4, 2*x])/96 + 10*E^x*Gamma[5, x] - 10*E^x*x*Gamma[5, x] + 5*E^x*x^2*Gamma[5, x] - (5*E^x*x^3*Gamma[5, x])/3 + (5*E^x*x^4*Gamma[5, x])/12 - (27*E^(2*x)*Gamma[5, 2*x])/128 + (27*E^(2*x)*x*Gamma[5, 2*x])/64 - (27*E^(2*x)*x^2*Gamma[5, 2*x])/64 + (9*E^(2*x)*x^3*Gamma[5, 2*x])/32 - (9*E^(2*x)*x^4*Gamma[5, 2*x])/64 + (13*E^(2*x)*Gamma[6, 2*x])/256 - (13*E^(2*x)*x*Gamma[6, 2*x])/128 + (13*E^(2*x)*x^2*Gamma[6, 2*x])/128 - (13*E^(2*x)*x^3*Gamma[6, 2*x])/192 + (13*E^(2*x)*x^4*Gamma[6, 2*x])/384 - (13*E^(2*x)*x^5*Gamma[6, 2*x])/960 - (E^(2*x)*Gamma[7, 2*x])/256 + (E^(2*x)*x*Gamma[7, 2*x])/128 - (E^(2*x)*x^2*Gamma[7, 2*x])/128 + (E^(2*x)*x^3*Gamma[7, 2*x])/192 - (E^(2*x)*x^4*Gamma[7, 2*x])/384 + (E^(2*x)*x^5*Gamma[7, 2*x])/960 - (E^(2*x)*x^6*Gamma[7, 2*x])/2880 - 480*Log[x] + 480*x^2*Log[x] + 200*x^2*Log[x]^2 + 100*x^3*Log[x]^2 - 80*E^x*x^3*Log[x]^2 + (25*x^4*Log[x]^2)/2 - 120*E^x*x^4*Log[x]^2 + 8*E^(2*x)*x^4*Log[x]^2 - 45*E^x*x^5*Log[x]^2 + 20*E^(2*x)*x^5*Log[x]^2 - 5*E^x*x^6*Log[x]^2 + (33*E^(2*x)*x^6*Log[x]^2)/2 + 5*E^(2*x)*x^7*Log[x]^2 + (E^(2*x)*x^8*Log[x]^2)/2 - 240*E^x*(-1 + x)*Gamma[2, x]*(1 + 2*Log[x]))","C",0
6197,1,31,23,0.9235307,"\int \frac{1}{81} \exp \left(\frac{1}{81} \left(81 e^{-1+2 x}+e^{-1+x} \left(81 x^2+11250 x^5+390625 x^8\right)\right)\right) \left(162 e^{-1+2 x}+e^{-1+x} \left(162 x+81 x^2+56250 x^4+11250 x^5+3125000 x^7+390625 x^8\right)\right) \, dx","Integrate[(E^((81*E^(-1 + 2*x) + E^(-1 + x)*(81*x^2 + 11250*x^5 + 390625*x^8))/81)*(162*E^(-1 + 2*x) + E^(-1 + x)*(162*x + 81*x^2 + 56250*x^4 + 11250*x^5 + 3125000*x^7 + 390625*x^8)))/81,x]","e^{\frac{1}{81} e^{x-1} x^2 \left(625 x^3+9\right)^2+e^{2 x-1}}","e^{e^{x-1} \left(\left(\frac{625 x^4}{9}+x\right)^2+e^x\right)}",1,"E^(E^(-1 + 2*x) + (E^(-1 + x)*x^2*(9 + 625*x^3)^2)/81)","A",1
6198,1,19,21,0.1143449,"\int \frac{1}{9} e^{-6+\frac{4 x^2-4 x^3+x^4}{9 e^6}} \left(-8 x+12 x^2-4 x^3\right) \, dx","Integrate[(E^(-6 + (4*x^2 - 4*x^3 + x^4)/(9*E^6))*(-8*x + 12*x^2 - 4*x^3))/9,x]","-e^{\frac{(x-2)^2 x^2}{9 e^6}}","-e^{\frac{(2-x)^2 x^2}{9 e^6}}",1,"-E^(((-2 + x)^2*x^2)/(9*E^6))","A",1
6199,1,19,19,0.1817857,"\int \frac{2 x^2+e^{\frac{6+11 x+3 e^x x+3 x^2}{3 x}} \left(-2+x^2+e^x x^2\right)}{x^2} \, dx","Integrate[(2*x^2 + E^((6 + 11*x + 3*E^x*x + 3*x^2)/(3*x))*(-2 + x^2 + E^x*x^2))/x^2,x]","2 x+e^{x+e^x+\frac{2}{x}+\frac{11}{3}}","2 x+e^{x+e^x+\frac{2}{x}+\frac{11}{3}}",1,"E^(11/3 + E^x + 2/x + x) + 2*x","A",1
6200,1,24,27,0.0562373,"\int \frac{5 x-121 x^2+324 x^3+e^4 (-81+324 x)+\left(-18 x^2+72 x^3+e^4 (-18+72 x)\right) \log \left(-x+4 x^2\right)+\left(-x^2+4 x^3+e^4 (-1+4 x)\right) \log ^2\left(-x+4 x^2\right)}{-81 x^2+324 x^3+\left(-18 x^2+72 x^3\right) \log \left(-x+4 x^2\right)+\left(-x^2+4 x^3\right) \log ^2\left(-x+4 x^2\right)} \, dx","Integrate[(5*x - 121*x^2 + 324*x^3 + E^4*(-81 + 324*x) + (-18*x^2 + 72*x^3 + E^4*(-18 + 72*x))*Log[-x + 4*x^2] + (-x^2 + 4*x^3 + E^4*(-1 + 4*x))*Log[-x + 4*x^2]^2)/(-81*x^2 + 324*x^3 + (-18*x^2 + 72*x^3)*Log[-x + 4*x^2] + (-x^2 + 4*x^3)*Log[-x + 4*x^2]^2),x]","x-\frac{e^4}{x}+\frac{5}{\log (x (4 x-1))+9}","\frac{5}{\log \left(4 x^2-x\right)+9}+x-\frac{e^4}{x}+5",1,"-(E^4/x) + x + 5/(9 + Log[x*(-1 + 4*x)])","A",1
6201,1,23,22,0.295114,"\int \frac{e^{\frac{1}{12} e^{-5+2 x}} \left(-2-\frac{1}{3} e^{-5+2 x} x \log (x)\right)}{25 x-10 e^{\frac{1}{12} e^{-5+2 x}} x \log (x)+e^{\frac{1}{6} e^{-5+2 x}} x \log ^2(x)} \, dx","Integrate[(E^(E^(-5 + 2*x)/12)*(-2 - (E^(-5 + 2*x)*x*Log[x])/3))/(25*x - 10*E^(E^(-5 + 2*x)/12)*x*Log[x] + E^(E^(-5 + 2*x)/6)*x*Log[x]^2),x]","-\frac{2}{5-e^{\frac{1}{12} e^{2 x-5}} \log (x)}","\frac{2}{e^{\frac{1}{12} e^{2 x-5}} \log (x)-5}",1,"-2/(5 - E^(E^(-5 + 2*x)/12)*Log[x])","A",1
6202,1,33,29,0.8400447,"\int \frac{640 x-480 x^2-1640 x^3+1190 x^4+810 x^5-490 x^6-190 x^7+60 x^8+20 x^9+e^{\frac{16}{16-8 x-7 x^2+2 x^3+x^4}} \left(-1280-1920 x+5360 x^2+4540 x^3-1330 x^4-390 x^5+170 x^6+50 x^7\right)}{-64 x^3+48 x^4+36 x^5-23 x^6-9 x^7+3 x^8+x^9} \, dx","Integrate[(640*x - 480*x^2 - 1640*x^3 + 1190*x^4 + 810*x^5 - 490*x^6 - 190*x^7 + 60*x^8 + 20*x^9 + E^(16/(16 - 8*x - 7*x^2 + 2*x^3 + x^4))*(-1280 - 1920*x + 5360*x^2 + 4540*x^3 - 1330*x^4 - 390*x^5 + 170*x^6 + 50*x^7))/(-64*x^3 + 48*x^4 + 36*x^5 - 23*x^6 - 9*x^7 + 3*x^8 + x^9),x]","10 \left(e^{\frac{16}{\left(x^2+x-4\right)^2}} \left(-\frac{1}{x^2}-\frac{5}{x}\right)+2 x+\frac{1}{x}\right)","(5 x+1) \left(\frac{10 \left(x-e^{\frac{16}{\left(x^2+x-4\right)^2}}\right)}{x^2}+4\right)",1,"10*(E^(16/(-4 + x + x^2)^2)*(-x^(-2) - 5/x) + x^(-1) + 2*x)","A",1
6203,1,24,30,0.0501799,"\int \frac{\left(-12 x^2+12 x^2 \log (1-x)\right) \log (5-4 x+(-2+2 x) \log (1-x))+\left(30 x-24 x^2+\left(-12 x+12 x^2\right) \log (1-x)\right) \log ^2(5-4 x+(-2+2 x) \log (1-x))}{5-4 x+(-2+2 x) \log (1-x)} \, dx","Integrate[((-12*x^2 + 12*x^2*Log[1 - x])*Log[5 - 4*x + (-2 + 2*x)*Log[1 - x]] + (30*x - 24*x^2 + (-12*x + 12*x^2)*Log[1 - x])*Log[5 - 4*x + (-2 + 2*x)*Log[1 - x]]^2)/(5 - 4*x + (-2 + 2*x)*Log[1 - x]),x]","3 x^2 \log ^2(-4 x+2 (x-1) \log (1-x)+5)","3 x^2 \log ^2(-x-(1-x) (2 \log (1-x)-3)+2)",1,"3*x^2*Log[5 - 4*x + 2*(-1 + x)*Log[1 - x]]^2","A",1
6204,1,18,25,1.8978146,"\int \frac{2+4 x+e^{-2 x} \left(-x+2 x^2\right)}{10 x+4 x^2-e^{-2 x} x^2+2 x \log (x)} \, dx","Integrate[(2 + 4*x + (-x + 2*x^2)/E^(2*x))/(10*x + 4*x^2 - x^2/E^(2*x) + 2*x*Log[x]),x]","\log \left(\left(4-e^{-2 x}\right) x+2 \log (x)+10\right)","\log \left(\frac{1}{2} e^{x-3 (x+1)+3} x-2 x-\log (x)-5\right)",1,"Log[10 + (4 - E^(-2*x))*x + 2*Log[x]]","A",1
6205,1,15,21,0.0061295,"\int \frac{-6-x+x^2+x \log (5)}{-3 x+x^2} \, dx","Integrate[(-6 - x + x^2 + x*Log[5])/(-3*x + x^2),x]","x+\log (5) \log (3-x)+2 \log (x)","\log \left(16 x^2 e^{\log (5) \log (3-x)-4}\right)+x",1,"x + Log[5]*Log[3 - x] + 2*Log[x]","A",1
6206,1,30,23,0.0358309,"\int \frac{-16 x^2+\left(36-212 x-8 x^2\right) \log ^2(5)+\left(-616-53 x-x^2\right) \log ^4(5)}{-48 x^2+16 x^3+\left(-600 x+176 x^2+8 x^3\right) \log ^2(5)+\left(-1875+475 x+47 x^2+x^3\right) \log ^4(5)} \, dx","Integrate[(-16*x^2 + (36 - 212*x - 8*x^2)*Log[5]^2 + (-616 - 53*x - x^2)*Log[5]^4)/(-48*x^2 + 16*x^3 + (-600*x + 176*x^2 + 8*x^3)*Log[5]^2 + (-1875 + 475*x + 47*x^2 + x^3)*Log[5]^4),x]","\frac{3 \log ^2(5)}{x \left(4+\log ^2(5)\right)+25 \log ^2(5)}-\log (x-3)","\frac{3}{x+\frac{4 x}{\log ^2(5)}+25}-\log (3-x)",1,"(3*Log[5]^2)/(25*Log[5]^2 + x*(4 + Log[5]^2)) - Log[-3 + x]","A",1
6207,1,31,27,0.1909948,"\int \frac{-x+\left(-3-5 x+2 x^2+e^x \left(-3 x+x^2\right)\right) \log (-3+x)+(-3+x) \log (-3+x) \log \left(\frac{4 e^{-e^x} \log (-3+x)}{x}\right)}{\left(-6 x^2+2 x^3\right) \log (-3+x)} \, dx","Integrate[(-x + (-3 - 5*x + 2*x^2 + E^x*(-3*x + x^2))*Log[-3 + x] + (-3 + x)*Log[-3 + x]*Log[(4*Log[-3 + x])/(E^E^x*x)])/((-6*x^2 + 2*x^3)*Log[-3 + x]),x]","\frac{1}{2} \left(2 \log (x)-\frac{\log \left(\frac{4 e^{-e^x} \log (x-3)}{x}\right)}{x}\right)","\log (x)-\frac{\log \left(\frac{4 e^{-e^x} \log (x-3)}{x}\right)}{2 x}",1,"(2*Log[x] - Log[(4*Log[-3 + x])/(E^E^x*x)]/x)/2","A",1
6208,1,47,30,1.5954426,"\int \frac{100 e^{\frac{3 (8+2 x)}{x^2}} x^2+e^{\frac{2 (8+2 x)}{x^2}} \left(400+50 x+25 x^2\right)}{-8 x^5+e^{\frac{3 (8+2 x)}{x^2}} \left(8 e^3 x^2-96 e^2 x^3+384 e x^4-512 x^5\right)+e^{\frac{2 (8+2 x)}{x^2}} \left(-24 e^2 x^3+192 e x^4-384 x^5\right)+e^{\frac{8+2 x}{x^2}} \left(24 e x^4-96 x^5\right)} \, dx","Integrate[(100*E^((3*(8 + 2*x))/x^2)*x^2 + E^((2*(8 + 2*x))/x^2)*(400 + 50*x + 25*x^2))/(-8*x^5 + E^((3*(8 + 2*x))/x^2)*(8*E^3*x^2 - 96*E^2*x^3 + 384*E*x^4 - 512*x^5) + E^((2*(8 + 2*x))/x^2)*(-24*E^2*x^3 + 192*E*x^4 - 384*x^5) + E^((8 + 2*x)/x^2)*(24*E*x^4 - 96*x^5)),x]","\frac{25 e^{\frac{4 (x+4)}{x^2}}}{16 \left(4 e^{\frac{2 (x+4)}{x^2}} x-e^{\frac{x^2+2 x+8}{x^2}}+x\right)^2}","\frac{1}{16 \left(\frac{1}{5} \left(-e^{-\frac{2 (x+4)}{x^2}} x+x+e\right)-x\right)^2}",1,"(25*E^((4*(4 + x))/x^2))/(16*(-E^((8 + 2*x + x^2)/x^2) + x + 4*E^((2*(4 + x))/x^2)*x)^2)","A",1
6209,1,25,25,0.0866323,"\int \frac{1}{8} \left(5 x+15 x^2+10 x^3+e^{2 x} \left(30 x+45 x^2\right)+e^x \left(-25 x-55 x^2-15 x^3\right)+\left(e^{2 x} \left(-25 x-30 x^2\right)+e^x \left(10 x+20 x^2+5 x^3\right)\right) \log (2 x)+e^{2 x} \left(5 x+5 x^2\right) \log ^2(2 x)\right) \, dx","Integrate[(5*x + 15*x^2 + 10*x^3 + E^(2*x)*(30*x + 45*x^2) + E^x*(-25*x - 55*x^2 - 15*x^3) + (E^(2*x)*(-25*x - 30*x^2) + E^x*(10*x + 20*x^2 + 5*x^3))*Log[2*x] + E^(2*x)*(5*x + 5*x^2)*Log[2*x]^2)/8,x]","\frac{5}{16} x^2 \left(x-3 e^x+e^x \log (2 x)+1\right)^2","\frac{5}{16} x^2 \left(x-e^x (3-\log (2 x))+1\right)^2",1,"(5*x^2*(1 - 3*E^x + x + E^x*Log[2*x])^2)/16","A",1
6210,1,18,19,0.009989,"\int \frac{-8192-25 x^3+25 x^5}{2048 x+25 x^4+25 x^6} \, dx","Integrate[(-8192 - 25*x^3 + 25*x^5)/(2048*x + 25*x^4 + 25*x^6),x]","\log \left(25 x^5+25 x^3+2048\right)-4 \log (x)","\log \left(\frac{4096}{25 x^4}+2 x+\frac{2}{x}\right)+4",1,"-4*Log[x] + Log[2048 + 25*x^3 + 25*x^5]","A",1
6211,1,22,25,0.0147404,"\int \frac{1}{25} \left(-27 e^2 x^2+\frac{1}{25} e^{4+x} \left(30 x+15 x^2\right)\right) \, dx","Integrate[(-27*E^2*x^2 + (E^(4 + x)*(30*x + 15*x^2))/25)/25,x]","\frac{3}{125} e^2 \left(e^{x+2} x^2-15 x^3\right)","\frac{3}{5} x^2 \left(\frac{e^{x+4}}{25}-\frac{3 e^2 x}{5}\right)",1,"(3*E^2*(E^(2 + x)*x^2 - 15*x^3))/125","A",1
6212,1,28,36,3.9763558,"\int \frac{x^2+e^{\frac{-6+x+x^2}{x}} \left(6+x^2\right)+e^{x^2} \left(-x^2+2 e x^3-2 x^4\right)}{e^{\frac{-6+x+x^2}{x}} x^2+x^3+e^{x^2} \left(e x^2-x^3\right)} \, dx","Integrate[(x^2 + E^((-6 + x + x^2)/x)*(6 + x^2) + E^x^2*(-x^2 + 2*E*x^3 - 2*x^4))/(E^((-6 + x + x^2)/x)*x^2 + x^3 + E^x^2*(E*x^2 - x^3)),x]","\log \left(-e^{x^2} x+e^{x^2+1}+x+e^{x-\frac{6}{x}+1}\right)","\log \left(\frac{1}{5} \left(e^{x^2} (x-e)-x-e^{x-\frac{6-x}{x}}\right)\right)",1,"Log[E^(1 - 6/x + x) + E^(1 + x^2) + x - E^x^2*x]","A",1
6213,0,0,28,0.3550402,"\int \frac{x+2 x^3 \log \left(\frac{2}{x}\right)+\left(\left(-x^3+x \log (5)\right) \log \left(\frac{2}{x}\right)+x \log \left(\frac{2}{x}\right) \log \left(\log \left(\frac{2}{x}\right)\right)\right) \log \left(-x^2+\log (5)+\log \left(\log \left(\frac{2}{x}\right)\right)\right)+\left(\left(-x^2+x^3+(1-x) \log (5)\right) \log \left(\frac{2}{x}\right)+(1-x) \log \left(\frac{2}{x}\right) \log \left(\log \left(\frac{2}{x}\right)\right)\right) \log ^2\left(-x^2+\log (5)+\log \left(\log \left(\frac{2}{x}\right)\right)\right)}{\left(\left(-x^4+x^2 \log (5)\right) \log \left(\frac{2}{x}\right)+x^2 \log \left(\frac{2}{x}\right) \log \left(\log \left(\frac{2}{x}\right)\right)\right) \log \left(-x^2+\log (5)+\log \left(\log \left(\frac{2}{x}\right)\right)\right)+\left(\left(-5 x^3+x^4+\left(5 x-x^2\right) \log (5)\right) \log \left(\frac{2}{x}\right)+\left(-x^3+x \log (5)\right) \log \left(\frac{2}{x}\right) \log (x)+\left(\left(5 x-x^2\right) \log \left(\frac{2}{x}\right)+x \log \left(\frac{2}{x}\right) \log (x)\right) \log \left(\log \left(\frac{2}{x}\right)\right)\right) \log ^2\left(-x^2+\log (5)+\log \left(\log \left(\frac{2}{x}\right)\right)\right)} \, dx","Integrate[(x + 2*x^3*Log[2/x] + ((-x^3 + x*Log[5])*Log[2/x] + x*Log[2/x]*Log[Log[2/x]])*Log[-x^2 + Log[5] + Log[Log[2/x]]] + ((-x^2 + x^3 + (1 - x)*Log[5])*Log[2/x] + (1 - x)*Log[2/x]*Log[Log[2/x]])*Log[-x^2 + Log[5] + Log[Log[2/x]]]^2)/(((-x^4 + x^2*Log[5])*Log[2/x] + x^2*Log[2/x]*Log[Log[2/x]])*Log[-x^2 + Log[5] + Log[Log[2/x]]] + ((-5*x^3 + x^4 + (5*x - x^2)*Log[5])*Log[2/x] + (-x^3 + x*Log[5])*Log[2/x]*Log[x] + ((5*x - x^2)*Log[2/x] + x*Log[2/x]*Log[x])*Log[Log[2/x]])*Log[-x^2 + Log[5] + Log[Log[2/x]]]^2),x]","\int \frac{x+2 x^3 \log \left(\frac{2}{x}\right)+\left(\left(-x^3+x \log (5)\right) \log \left(\frac{2}{x}\right)+x \log \left(\frac{2}{x}\right) \log \left(\log \left(\frac{2}{x}\right)\right)\right) \log \left(-x^2+\log (5)+\log \left(\log \left(\frac{2}{x}\right)\right)\right)+\left(\left(-x^2+x^3+(1-x) \log (5)\right) \log \left(\frac{2}{x}\right)+(1-x) \log \left(\frac{2}{x}\right) \log \left(\log \left(\frac{2}{x}\right)\right)\right) \log ^2\left(-x^2+\log (5)+\log \left(\log \left(\frac{2}{x}\right)\right)\right)}{\left(\left(-x^4+x^2 \log (5)\right) \log \left(\frac{2}{x}\right)+x^2 \log \left(\frac{2}{x}\right) \log \left(\log \left(\frac{2}{x}\right)\right)\right) \log \left(-x^2+\log (5)+\log \left(\log \left(\frac{2}{x}\right)\right)\right)+\left(\left(-5 x^3+x^4+\left(5 x-x^2\right) \log (5)\right) \log \left(\frac{2}{x}\right)+\left(-x^3+x \log (5)\right) \log \left(\frac{2}{x}\right) \log (x)+\left(\left(5 x-x^2\right) \log \left(\frac{2}{x}\right)+x \log \left(\frac{2}{x}\right) \log (x)\right) \log \left(\log \left(\frac{2}{x}\right)\right)\right) \log ^2\left(-x^2+\log (5)+\log \left(\log \left(\frac{2}{x}\right)\right)\right)} \, dx","\log \left(\frac{x}{\log \left(-x^2+\log \left(\log \left(\frac{2}{x}\right)\right)+\log (5)\right)}-x+\log (x)+5\right)",1,"Integrate[(x + 2*x^3*Log[2/x] + ((-x^3 + x*Log[5])*Log[2/x] + x*Log[2/x]*Log[Log[2/x]])*Log[-x^2 + Log[5] + Log[Log[2/x]]] + ((-x^2 + x^3 + (1 - x)*Log[5])*Log[2/x] + (1 - x)*Log[2/x]*Log[Log[2/x]])*Log[-x^2 + Log[5] + Log[Log[2/x]]]^2)/(((-x^4 + x^2*Log[5])*Log[2/x] + x^2*Log[2/x]*Log[Log[2/x]])*Log[-x^2 + Log[5] + Log[Log[2/x]]] + ((-5*x^3 + x^4 + (5*x - x^2)*Log[5])*Log[2/x] + (-x^3 + x*Log[5])*Log[2/x]*Log[x] + ((5*x - x^2)*Log[2/x] + x*Log[2/x]*Log[x])*Log[Log[2/x]])*Log[-x^2 + Log[5] + Log[Log[2/x]]]^2), x]","F",-1
6214,1,572,30,0.991959,"\int \frac{\left(36 x^2+48 x^3-44 x^4-4 e^x x^4-16 x^5+4 x^6\right) \log \left(5+x^2\right)+\left(-90-60 x-18 x^2-32 x^3+10 x^4-4 x^5+2 x^6+e^x \left(-5 x^3-x^5\right)\right) \log ^2\left(5+x^2\right)}{5 x^3+x^5} \, dx","Integrate[((36*x^2 + 48*x^3 - 44*x^4 - 4*E^x*x^4 - 16*x^5 + 4*x^6)*Log[5 + x^2] + (-90 - 60*x - 18*x^2 - 32*x^3 + 10*x^4 - 4*x^5 + 2*x^6 + E^x*(-5*x^3 - x^5))*Log[5 + x^2]^2)/(5*x^3 + x^5),x]","\frac{1}{5} \left(2 \left(89-32 i \sqrt{5}\right) \text{Li}_2\left(\frac{1}{2}-\frac{i x}{2 \sqrt{5}}\right)+2 \left(89+32 i \sqrt{5}\right) \text{Li}_2\left(\frac{i x}{2 \sqrt{5}}+\frac{1}{2}\right)-128 i \sqrt{5} \text{Li}_2\left(\frac{\sqrt{5} x+5 i}{\sqrt{5} x-5 i}\right)-5 e^x \log ^2\left(x^2+5\right)+5 x^2 \log ^2\left(x^2+5\right)-20 x \log ^2\left(x^2+5\right)+\frac{60 \log ^2\left(x^2+5\right)}{x}+\frac{45 \log ^2\left(x^2+5\right)}{x^2}+34 \log ^2\left(x^2+5\right)-64 i \sqrt{5} \log \left(-x+i \sqrt{5}\right) \log \left(x^2+5\right)-178 \log \left(-x+i \sqrt{5}\right) \log \left(x^2+5\right)+64 i \sqrt{5} \log \left(x+i \sqrt{5}\right) \log \left(x^2+5\right)-178 \log \left(x+i \sqrt{5}\right) \log \left(x^2+5\right)-128 \sqrt{5} \log \left(x^2+5\right) \tan ^{-1}\left(\frac{x}{\sqrt{5}}\right)+32 i \sqrt{5} \log ^2\left(-x+i \sqrt{5}\right)+89 \log ^2\left(-x+i \sqrt{5}\right)-32 i \sqrt{5} \log ^2\left(x+i \sqrt{5}\right)+89 \log ^2\left(x+i \sqrt{5}\right)+64 i \sqrt{5} \log \left(-x+i \sqrt{5}\right) \log \left(\frac{1}{10} \left(5-i \sqrt{5} x\right)\right)+178 \log \left(-x+i \sqrt{5}\right) \log \left(\frac{1}{10} \left(5-i \sqrt{5} x\right)\right)-64 i \sqrt{5} \log \left(x+i \sqrt{5}\right) \log \left(\frac{1}{10} \left(5+i \sqrt{5} x\right)\right)+178 \log \left(x+i \sqrt{5}\right) \log \left(\frac{1}{10} \left(5+i \sqrt{5} x\right)\right)-128 i \sqrt{5} \tan ^{-1}\left(\frac{x}{\sqrt{5}}\right)^2-256 \sqrt{5} \log \left(\frac{10 i}{-\sqrt{5} x+5 i}\right) \tan ^{-1}\left(\frac{x}{\sqrt{5}}\right)\right)","\left(\frac{\left(x^2-2 x-3\right)^2}{x^2}-e^x-9\right) \log ^2\left(x^2+5\right)",1,"((-128*I)*Sqrt[5]*ArcTan[x/Sqrt[5]]^2 + 89*Log[I*Sqrt[5] - x]^2 + (32*I)*Sqrt[5]*Log[I*Sqrt[5] - x]^2 + 89*Log[I*Sqrt[5] + x]^2 - (32*I)*Sqrt[5]*Log[I*Sqrt[5] + x]^2 - 256*Sqrt[5]*ArcTan[x/Sqrt[5]]*Log[(10*I)/(5*I - Sqrt[5]*x)] + 178*Log[I*Sqrt[5] - x]*Log[(5 - I*Sqrt[5]*x)/10] + (64*I)*Sqrt[5]*Log[I*Sqrt[5] - x]*Log[(5 - I*Sqrt[5]*x)/10] + 178*Log[I*Sqrt[5] + x]*Log[(5 + I*Sqrt[5]*x)/10] - (64*I)*Sqrt[5]*Log[I*Sqrt[5] + x]*Log[(5 + I*Sqrt[5]*x)/10] - 128*Sqrt[5]*ArcTan[x/Sqrt[5]]*Log[5 + x^2] - 178*Log[I*Sqrt[5] - x]*Log[5 + x^2] - (64*I)*Sqrt[5]*Log[I*Sqrt[5] - x]*Log[5 + x^2] - 178*Log[I*Sqrt[5] + x]*Log[5 + x^2] + (64*I)*Sqrt[5]*Log[I*Sqrt[5] + x]*Log[5 + x^2] + 34*Log[5 + x^2]^2 - 5*E^x*Log[5 + x^2]^2 + (45*Log[5 + x^2]^2)/x^2 + (60*Log[5 + x^2]^2)/x - 20*x*Log[5 + x^2]^2 + 5*x^2*Log[5 + x^2]^2 + 2*(89 - (32*I)*Sqrt[5])*PolyLog[2, 1/2 - ((I/2)*x)/Sqrt[5]] + 2*(89 + (32*I)*Sqrt[5])*PolyLog[2, 1/2 + ((I/2)*x)/Sqrt[5]] - (128*I)*Sqrt[5]*PolyLog[2, (5*I + Sqrt[5]*x)/(-5*I + Sqrt[5]*x)])/5","C",1
6215,1,24,31,0.7465955,"\int \frac{e^x \left(-6+11 x-3 e^3 x\right)+e^x \left(5 x+x^2\right) \log (x)}{1008 x-504 e^3 x+63 e^6 x+\left(1008 x+168 x^2+e^3 \left(-252 x-42 x^2\right)\right) \log (x)+\left(252 x+84 x^2+7 x^3\right) \log ^2(x)} \, dx","Integrate[(E^x*(-6 + 11*x - 3*E^3*x) + E^x*(5*x + x^2)*Log[x])/(1008*x - 504*E^3*x + 63*E^6*x + (1008*x + 168*x^2 + E^3*(-252*x - 42*x^2))*Log[x] + (252*x + 84*x^2 + 7*x^3)*Log[x]^2),x]","\frac{e^x}{7 \left(x \log (x)+6 \log (x)-3 e^3+12\right)}","\frac{e^x}{7 x \left(\log (x)+\frac{3 \left(2 \log (x)-e^3+4\right)}{x}\right)}",1,"E^x/(7*(12 - 3*E^3 + 6*Log[x] + x*Log[x]))","A",1
6216,1,41,31,0.0664204,"\int \frac{180+90 x^2+360 e x^2-90 e^6 x^2+30 x^3-90 e^2 x^3}{144+1152 x+2160 x^2+9 e^{20} x^2-600 x^3-60 x^4+12 x^5-144 e^3 x^5+x^6+9 e^4 x^6+e^{15} \left(-144 x^2+36 e x^3\right)+e^{10} \left(72 x+864 x^2-36 x^3-432 e x^3-6 x^4+54 e^2 x^4\right)+e \left(-576 x^2-2304 x^3+288 x^4+48 x^5\right)+e^2 \left(72 x^3+864 x^4-36 x^5-6 x^6\right)+e^5 \left(-576 x-2304 x^2+288 x^3+48 x^4-432 e^2 x^4+36 e^3 x^5+e \left(144 x^2+1728 x^3-72 x^4-12 x^5\right)\right)} \, dx","Integrate[(180 + 90*x^2 + 360*E*x^2 - 90*E^6*x^2 + 30*x^3 - 90*E^2*x^3)/(144 + 1152*x + 2160*x^2 + 9*E^20*x^2 - 600*x^3 - 60*x^4 + 12*x^5 - 144*E^3*x^5 + x^6 + 9*E^4*x^6 + E^15*(-144*x^2 + 36*E*x^3) + E^10*(72*x + 864*x^2 - 36*x^3 - 432*E*x^3 - 6*x^4 + 54*E^2*x^4) + E*(-576*x^2 - 2304*x^3 + 288*x^4 + 48*x^5) + E^2*(72*x^3 + 864*x^4 - 36*x^5 - 6*x^6) + E^5*(-576*x - 2304*x^2 + 288*x^3 + 48*x^4 - 432*E^2*x^4 + 36*E^3*x^5 + E*(144*x^2 + 1728*x^3 - 72*x^4 - 12*x^5))),x]","\frac{15 x}{\left(3 e^2-1\right) x^3+6 \left(-1-4 e+e^6\right) x^2+3 \left(e^5-4\right)^2 x+12}","\frac{5}{\frac{4-\frac{x^3}{3}}{x}+\left(e x+e^5-4\right)^2-2 x}",1,"(15*x)/(12 + 3*(-4 + E^5)^2*x + 6*(-1 - 4*E + E^6)*x^2 + (-1 + 3*E^2)*x^3)","A",1
6217,1,30,34,0.2022095,"\int \frac{e^{-5+e^{2 e^{-x}}} \left(e^x \left(50 e^6-25 x-50 e^3 x\right)+e^x \left(-100 e^3+50 x\right) \log (x)+50 e^x \log ^2(x)+e^{2 e^{-x}} \left(-100 e^6 x+50 e^3 x^2+\left(200 e^3 x-50 x^2\right) \log (x)-100 x \log ^2(x)\right)\right)}{e^{6+x}-2 e^{3+x} \log (x)+e^x \log ^2(x)} \, dx","Integrate[(E^(-5 + E^(2/E^x))*(E^x*(50*E^6 - 25*x - 50*E^3*x) + E^x*(-100*E^3 + 50*x)*Log[x] + 50*E^x*Log[x]^2 + E^(2/E^x)*(-100*E^6*x + 50*E^3*x^2 + (200*E^3*x - 50*x^2)*Log[x] - 100*x*Log[x]^2)))/(E^(6 + x) - 2*E^(3 + x)*Log[x] + E^x*Log[x]^2),x]","25 e^{e^{2 e^{-x}}-5} x \left(\frac{x}{\log (x)-e^3}+2\right)","25 e^{e^{2 e^{-x}}-5} \left(x+x \left(1-\frac{x}{e^3-\log (x)}\right)\right)",1,"25*E^(-5 + E^(2/E^x))*x*(2 + x/(-E^3 + Log[x]))","A",1
6218,1,29,29,0.112064,"\int \frac{-2+e^x (5-5 x)+e^{3 e^{x^2}-3 x} \left(-5-15 x+30 e^{x^2} x^2\right)}{5 x^2} \, dx","Integrate[(-2 + E^x*(5 - 5*x) + E^(3*E^x^2 - 3*x)*(-5 - 15*x + 30*E^x^2*x^2))/(5*x^2),x]","\frac{5 e^{3 e^{x^2}-3 x}-5 e^x+2}{5 x}","\frac{e^{3 \left(e^{x^2}-x\right)}-x-e^x+\frac{2}{5}}{x}",1,"(2 + 5*E^(3*E^x^2 - 3*x) - 5*E^x)/(5*x)","A",1
6219,1,10,15,0.0042179,"\int \frac{e^{-12+x} (-25+25 x)}{x^2} \, dx","Integrate[(E^(-12 + x)*(-25 + 25*x))/x^2,x]","\frac{25 e^{x-12}}{x}","\frac{25 \left(e^x-x\right)}{e^{12} x}",1,"(25*E^(-12 + x))/x","A",1
6220,1,25,27,0.2126859,"\int \frac{-3 e^{e^4+\frac{3}{2+2 x}}+e^{\frac{3}{2+2 x}} \left(5-99 x-123 x^2-100 x^3\right)}{2+4 x+2 x^2} \, dx","Integrate[(-3*E^(E^4 + 3/(2 + 2*x)) + E^(3/(2 + 2*x))*(5 - 99*x - 123*x^2 - 100*x^3))/(2 + 4*x + 2*x^2),x]","e^{\frac{3}{2 (x+1)}} \left(-25 x^2+x+e^{e^4}-1\right)","e^{\frac{3}{2 x+2}} \left(-25 x^2+x+e^{e^4}-1\right)+4",1,"E^(3/(2*(1 + x)))*(-1 + E^E^4 + x - 25*x^2)","A",1
6221,1,28,30,0.0633933,"\int \frac{-10 x+e^{3/4} x-x^4+\left(50-50 x^3-x^6+e^{3/4} \left(-5+4 x^3\right)\right) \log (x)+\left(-20 x+2 e^{3/4} x+x^4\right) \log (x) \log (\log (x))}{\left(25 x^2-10 x^5+x^8\right) \log (x)+\left(-10 x^3+2 x^6\right) \log (x) \log (\log (x))+x^4 \log (x) \log ^2(\log (x))} \, dx","Integrate[(-10*x + E^(3/4)*x - x^4 + (50 - 50*x^3 - x^6 + E^(3/4)*(-5 + 4*x^3))*Log[x] + (-20*x + 2*E^(3/4)*x + x^4)*Log[x]*Log[Log[x]])/((25*x^2 - 10*x^5 + x^8)*Log[x] + (-10*x^3 + 2*x^6)*Log[x]*Log[Log[x]] + x^4*Log[x]*Log[Log[x]]^2),x]","\frac{x^3-e^{3/4}+10}{x \left(x^3+x \log (\log (x))-5\right)}","\frac{\frac{10-e^{3/4}}{x^2}+x}{x^2-\frac{5}{x}+\log (\log (x))}",1,"(10 - E^(3/4) + x^3)/(x*(-5 + x^3 + x*Log[Log[x]]))","A",1
6222,1,7,16,0.0000617,"\int -\frac{18 x}{25} \, dx","Integrate[(-18*x)/25,x]","-\frac{9 x^2}{25}","-\frac{9 x^2}{25}+25 e^{e-32}+5",1,"(-9*x^2)/25","A",1
6223,1,27,25,0.0121254,"\int \frac{24375+4500 x+4110 x^2+364 x^3+156 x^4}{24375 x+4525 x^2+4110 x^3+362 x^4+156 x^5} \, dx","Integrate[(24375 + 4500*x + 4110*x^2 + 364*x^3 + 156*x^4)/(24375*x + 4525*x^2 + 4110*x^3 + 362*x^4 + 156*x^5),x]","-\log \left(6 x^2+7 x+75\right)+\log \left(26 x^2+30 x+325\right)+\log (x)","\log \left(\frac{x}{\frac{x}{x^2+(x+2) x+25}+3}+4 x\right)",1,"Log[x] - Log[75 + 7*x + 6*x^2] + Log[325 + 30*x + 26*x^2]","A",1
6224,1,45,25,0.0322838,"\int \frac{30+3 x^2-24 x^3+\left(-24-6 x+36 x^2\right) \log (9)-12 \log ^2(9)}{2 x^2-4 x \log (9)+2 \log ^2(9)} \, dx","Integrate[(30 + 3*x^2 - 24*x^3 + (-24 - 6*x + 36*x^2)*Log[9] - 12*Log[9]^2)/(2*x^2 - 4*x*Log[9] + 2*Log[9]^2),x]","-\frac{3}{2} \left(4 x^2+\frac{10+4 \log ^3(9)-5 \log ^2(9)-8 \log (9)}{x-\log (9)}+x (4 \log (9)-1)\right)","\frac{3}{2} (4 x-5) \left(\frac{x^2-2}{\log (9)-x}-1\right)",1,"(-3*(4*x^2 + x*(-1 + 4*Log[9]) + (10 - 8*Log[9] - 5*Log[9]^2 + 4*Log[9]^3)/(x - Log[9])))/2","A",1
6225,1,18,26,0.2737676,"\int e^{-e^x x} \left(e^{2 x} (-3-6 x)+e^{e^x x} (9+6 x)+e^{3 x} \left(3 x+3 x^2\right)\right) \, dx","Integrate[(E^(2*x)*(-3 - 6*x) + E^(E^x*x)*(9 + 6*x) + E^(3*x)*(3*x + 3*x^2))/E^(E^x*x),x]","3 x \left(x-e^{-\left(\left(e^x-2\right) x\right)}+3\right)","3 \left(2 x-\left(-x+e^{2 x-e^x x}-1\right) x\right)",1,"3*x*(3 - E^(-((-2 + E^x)*x)) + x)","A",1
6226,1,106,20,0.0957544,"\int \frac{-25+256 x+500 e^{4 x} x+1472 x^2+4080 x^3+7220 x^4+8500 x^5+6900 x^6+3500 x^7+1000 x^8+e^{3 x} \left(1700 x+2500 x^2+1500 x^3\right)+e^{2 x} \left(2160 x+6300 x^2+8400 x^3+6000 x^4+1500 x^5\right)+e^x \left(1216 x+5280 x^2+10860 x^3+13700 x^4+10200 x^5+4500 x^6+500 x^7\right)}{125 x} \, dx","Integrate[(-25 + 256*x + 500*E^(4*x)*x + 1472*x^2 + 4080*x^3 + 7220*x^4 + 8500*x^5 + 6900*x^6 + 3500*x^7 + 1000*x^8 + E^(3*x)*(1700*x + 2500*x^2 + 1500*x^3) + E^(2*x)*(2160*x + 6300*x^2 + 8400*x^3 + 6000*x^4 + 1500*x^5) + E^x*(1216*x + 5280*x^2 + 10860*x^3 + 13700*x^4 + 10200*x^5 + 4500*x^6 + 500*x^7))/(125*x),x]","\frac{1}{125} \left(4 e^x \left(5 x^2+5 x+4\right)^3+30 e^{2 x} \left(5 x^2+5 x+4\right)^2+100 e^{3 x} \left(5 x^2+5 x+4\right)+x \left(125 x^7+500 x^6+1150 x^5+1700 x^4+1805 x^3+1360 x^2+736 x+256\right)+125 e^{4 x}-25 \log (x)\right)","\left(x^2+x+e^x+\frac{4}{5}\right)^4-\frac{\log (x)}{5}",1,"(125*E^(4*x) + 100*E^(3*x)*(4 + 5*x + 5*x^2) + 30*E^(2*x)*(4 + 5*x + 5*x^2)^2 + 4*E^x*(4 + 5*x + 5*x^2)^3 + x*(256 + 736*x + 1360*x^2 + 1805*x^3 + 1700*x^4 + 1150*x^5 + 500*x^6 + 125*x^7) - 25*Log[x])/125","B",1
6227,1,13,14,0.0025018,"\int \frac{1}{13} \left(-39+10 e^{5 x}\right) \, dx","Integrate[(-39 + 10*E^(5*x))/13,x]","\frac{2 e^{5 x}}{13}-3 x","-3 x+\frac{2 e^{5 x}}{13}-2",1,"(2*E^(5*x))/13 - 3*x","A",1
6228,1,34,29,0.3598814,"\int \frac{e^{-\frac{4 x^2}{25}} \left(e^{20+4 x} \left(-9375+12500 x-1000 x^2\right)+e^{15+3 x+\frac{26 x^2}{25}} \left(5000 x-7500 x^2-4400 x^3\right)+e^{10+2 x+\frac{52 x^2}{25}} \left(-750 x^2+1500 x^3+2880 x^4\right)+e^{5+x+\frac{78 x^2}{25}} \left(-100 x^4-592 x^5\right)+e^{\frac{104 x^2}{25}} \left(5 x^4+40 x^6\right)\right)}{5 x^4} \, dx","Integrate[(E^(20 + 4*x)*(-9375 + 12500*x - 1000*x^2) + E^(15 + 3*x + (26*x^2)/25)*(5000*x - 7500*x^2 - 4400*x^3) + E^(10 + 2*x + (52*x^2)/25)*(-750*x^2 + 1500*x^3 + 2880*x^4) + E^(5 + x + (78*x^2)/25)*(-100*x^4 - 592*x^5) + E^((104*x^2)/25)*(5*x^4 + 40*x^6))/(5*E^((4*x^2)/25)*x^4),x]","\frac{e^{-\frac{4 x^2}{25}} \left(e^{\frac{26 x^2}{25}} x-5 e^{x+5}\right)^4}{x^3}","\left(\frac{5 e^{-\frac{x^2}{25}+x+5}}{x}-e^{x^2}\right)^4 x",1,"(-5*E^(5 + x) + E^((26*x^2)/25)*x)^4/(E^((4*x^2)/25)*x^3)","A",1
6229,1,19,21,0.0435605,"\int \frac{188-62 \log \left(x^2\right)+\left(-3+\log \left(x^2\right)\right) \log \left(3-\log \left(x^2\right)\right)}{-45+15 \log \left(x^2\right)} \, dx","Integrate[(188 - 62*Log[x^2] + (-3 + Log[x^2])*Log[3 - Log[x^2]])/(-45 + 15*Log[x^2]),x]","\frac{1}{15} \left(x \log \left(3-\log \left(x^2\right)\right)-62 x\right)","\frac{1}{15} x \left(\log \left(3-\log \left(x^2\right)\right)-2\right)-4 x-1",1,"(-62*x + x*Log[3 - Log[x^2]])/15","A",1
6230,1,22,19,0.5657627,"\int \frac{-162-486 x-x^3-3 x^4+\left(-729 x+9 x^4+\left(-243 x+3 x^4\right) \log \left(\frac{-81+x^3}{x^2}\right)\right) \log \left(3+\log \left(\frac{-81+x^3}{x^2}\right)\right)}{\left(-729 x+9 x^4+\left(-243 x+3 x^4\right) \log \left(\frac{-81+x^3}{x^2}\right)\right) \log ^2\left(3+\log \left(\frac{-81+x^3}{x^2}\right)\right)} \, dx","Integrate[(-162 - 486*x - x^3 - 3*x^4 + (-729*x + 9*x^4 + (-243*x + 3*x^4)*Log[(-81 + x^3)/x^2])*Log[3 + Log[(-81 + x^3)/x^2]])/((-729*x + 9*x^4 + (-243*x + 3*x^4)*Log[(-81 + x^3)/x^2])*Log[3 + Log[(-81 + x^3)/x^2]]^2),x]","-\frac{-3 x-1}{3 \log \left(\log \left(x-\frac{81}{x^2}\right)+3\right)}","\frac{x+\frac{1}{3}}{\log \left(\log \left(x-\frac{81}{x^2}\right)+3\right)}",1,"-1/3*(-1 - 3*x)/Log[3 + Log[-81/x^2 + x]]","A",1
6231,1,20,19,0.055664,"\int \left(5000 x-12000 x^3+8400 x^5-2400 x^7+250 x^9+e^{2 x} \left(50 x+50 x^2\right)+e^x \left(1000 x+500 x^2-1200 x^3-300 x^4+300 x^5+50 x^6\right)\right) \, dx","Integrate[5000*x - 12000*x^3 + 8400*x^5 - 2400*x^7 + 250*x^9 + E^(2*x)*(50*x + 50*x^2) + E^x*(1000*x + 500*x^2 - 1200*x^3 - 300*x^4 + 300*x^5 + 50*x^6),x]","25 x^2 \left(x^4-6 x^2+e^x+10\right)^2","25 \left(\left(\left(x^2-3\right)^2+e^x\right) x+x\right)^2",1,"25*x^2*(10 + E^x - 6*x^2 + x^4)^2","A",1
6232,1,12,12,0.0012092,"\int \frac{-2 e-3 x^2}{e} \, dx","Integrate[(-2*E - 3*x^2)/E,x]","-\frac{x^3}{e}-2 x","x \left(-\frac{x^2}{e}-2\right)",1,"-2*x - x^3/E","A",1
6233,1,24,24,0.0205912,"\int \frac{1+18 x+e^x \left(-36+e^x (-36-72 x)-36 x\right) x}{9 x} \, dx","Integrate[(1 + 18*x + E^x*(-36 + E^x*(-36 - 72*x) - 36*x)*x)/(9*x),x]","-4 e^x x-4 e^{2 x} x+2 x+\frac{\log (x)}{9}","2 x-4 \left(e^x \left(e^x+1\right) x+3\right)+\frac{\log (x)}{9}",1,"2*x - 4*E^x*x - 4*E^(2*x)*x + Log[x]/9","A",1
6234,1,27,17,0.0699012,"\int \frac{-2 x-x^3+\left(2 x+3 x^2\right) \log (x)-3 x \log ^2(x)+\log ^3(x)}{\left(-x^3-x^4+\left(x^2+3 x^3\right) \log (x)-3 x^2 \log ^2(x)+x \log ^3(x)\right) \log \left(\frac{x^2+x^3-2 x^2 \log (x)+x \log ^2(x)}{x^2-2 x \log (x)+\log ^2(x)}\right) \log \left(\log \left(\frac{x^2+x^3-2 x^2 \log (x)+x \log ^2(x)}{x^2-2 x \log (x)+\log ^2(x)}\right)\right)} \, dx","Integrate[(-2*x - x^3 + (2*x + 3*x^2)*Log[x] - 3*x*Log[x]^2 + Log[x]^3)/((-x^3 - x^4 + (x^2 + 3*x^3)*Log[x] - 3*x^2*Log[x]^2 + x*Log[x]^3)*Log[(x^2 + x^3 - 2*x^2*Log[x] + x*Log[x]^2)/(x^2 - 2*x*Log[x] + Log[x]^2)]*Log[Log[(x^2 + x^3 - 2*x^2*Log[x] + x*Log[x]^2)/(x^2 - 2*x*Log[x] + Log[x]^2)]]),x]","\log \left(\log \left(\log \left(\frac{x \left(x^2+x+\log ^2(x)-2 x \log (x)\right)}{(x-\log (x))^2}\right)\right)\right)","\log \left(\log \left(\log \left(\frac{x^2}{(\log (x)-x)^2}+x\right)\right)\right)",1,"Log[Log[Log[(x*(x + x^2 - 2*x*Log[x] + Log[x]^2))/(x - Log[x])^2]]]","A",1
6235,1,21,23,0.0000811,"\int \frac{1}{3} \left(5+5 e^3+5 \log (4)\right) \, dx","Integrate[(5 + 5*E^3 + 5*Log[4])/3,x]","\frac{5 e^3 x}{3}+\frac{5 x}{3}+\frac{5}{3} x \log (4)","\frac{1}{3} x \left(-\frac{2}{x}-5+5 \left(2+e^3+\log (4)\right)\right)+5",1,"(5*x)/3 + (5*E^3*x)/3 + (5*x*Log[4])/3","A",1
6236,1,30,19,0.0022633,"\int \frac{1}{2} \left(3+e (-2-4 x)-18 x-9 x^2\right) \, dx","Integrate[(3 + E*(-2 - 4*x) - 18*x - 9*x^2)/2,x]","-\frac{3 x^3}{2}-e x^2-\frac{9 x^2}{2}-e x+\frac{3 x}{2}","\left(\frac{3 x}{2}+e+3\right) \left(-x^2-x+3\right)",1,"(3*x)/2 - E*x - (9*x^2)/2 - E*x^2 - (3*x^3)/2","A",1
6237,1,23,27,1.1539851,"\int \frac{\exp \left(-x+\frac{e^{-x} \left(2 e^x+5 x\right)}{\log (-3+2 x)}\right) \left(100 e^x+250 x+\left(375-625 x+250 x^2\right) \log (-3+2 x)\right)}{(-3+2 x) \log ^2(-3+2 x)} \, dx","Integrate[(E^(-x + (2*E^x + 5*x)/(E^x*Log[-3 + 2*x]))*(100*E^x + 250*x + (375 - 625*x + 250*x^2)*Log[-3 + 2*x]))/((-3 + 2*x)*Log[-3 + 2*x]^2),x]","-25 e^{\frac{5 e^{-x} x+2}{\log (2 x-3)}}","25 \left(4-e^{\frac{5 e^{-x} x+2}{\log (2 x-3)}}\right)",1,"-25*E^((2 + (5*x)/E^x)/Log[-3 + 2*x])","A",1
6238,1,19,23,0.1641773,"\int \frac{-4+6 x+\left(-2+2 x+(2-2 x) \log \left(2 x^2-2 x^3\right)\right) \log \left(1-\log \left(2 x^2-2 x^3\right)\right)}{x^2-x^3+\left(-x^2+x^3\right) \log \left(2 x^2-2 x^3\right)} \, dx","Integrate[(-4 + 6*x + (-2 + 2*x + (2 - 2*x)*Log[2*x^2 - 2*x^3])*Log[1 - Log[2*x^2 - 2*x^3]])/(x^2 - x^3 + (-x^2 + x^3)*Log[2*x^2 - 2*x^3]),x]","\frac{2 \log \left(1-\log \left(-2 (x-1) x^2\right)\right)}{x}","\frac{2 \left(\log \left(1-\log \left(2 (1-x) x^2\right)\right)+x\right)}{x}",1,"(2*Log[1 - Log[-2*(-1 + x)*x^2]])/x","A",1
6239,1,31,26,0.4394282,"\int \frac{9-10 e^x+e^{2 x}+\left(16-8 e^x x\right) \log (x)+\left(20-4 e^x\right) \log \left(\frac{3 x}{2}\right)+4 \log ^2\left(\frac{3 x}{2}\right)}{81 x-18 e^x x+e^{2 x} x+\left(36 x-4 e^x x\right) \log \left(\frac{3 x}{2}\right)+4 x \log ^2\left(\frac{3 x}{2}\right)} \, dx","Integrate[(9 - 10*E^x + E^(2*x) + (16 - 8*E^x*x)*Log[x] + (20 - 4*E^x)*Log[(3*x)/2] + 4*Log[(3*x)/2]^2)/(81*x - 18*E^x*x + E^(2*x)*x + (36*x - 4*E^x*x)*Log[(3*x)/2] + 4*x*Log[(3*x)/2]^2),x]","\frac{4 \left(e^x-9-\log \left(\frac{9}{4}\right)\right)}{e^x-2 \log \left(\frac{3 x}{2}\right)-9}+\log (x)","\frac{\log (x)}{\frac{8}{-e^x+2 \log \left(\frac{3 x}{2}\right)+1}+1}",1,"Log[x] + (4*(-9 + E^x - Log[9/4]))/(-9 + E^x - 2*Log[(3*x)/2])","A",1
6240,1,47,28,0.1722136,"\int \frac{e^2 x^2+\exp \left(25+e^{2 x}+10 x+11 x^2+2 x^3+x^4+e^x \left(-10-2 x-2 x^2\right)\right) \left(-4 e^{2+2 x} x+e^{2+x} \left(24 x+12 x^2+4 x^3\right)+e^2 \left(2-20 x-44 x^2-12 x^3-8 x^4\right)\right)}{x^2} \, dx","Integrate[(E^2*x^2 + E^(25 + E^(2*x) + 10*x + 11*x^2 + 2*x^3 + x^4 + E^x*(-10 - 2*x - 2*x^2))*(-4*E^(2 + 2*x)*x + E^(2 + x)*(24*x + 12*x^2 + 4*x^3) + E^2*(2 - 20*x - 44*x^2 - 12*x^3 - 8*x^4)))/x^2,x]","e^2 x-\frac{2 \exp \left(x^4+2 x^3+11 x^2-2 e^x \left(x^2+x+5\right)+10 x+e^{2 x}+27\right)}{x}","e^2 \left(x-\frac{2 e^{\left(-x^2-x+e^x-5\right)^2}}{x}\right)",1,"(-2*E^(27 + E^(2*x) + 10*x + 11*x^2 + 2*x^3 + x^4 - 2*E^x*(5 + x + x^2)))/x + E^2*x","A",1
6241,1,34,21,0.3300495,"\int \frac{e^{\frac{1}{5} \left(-15 x+10 x^2+4 x^3\right)} \left(-15+20 x+12 x^2\right)}{-25+5 e^{\frac{1}{5} \left(-15 x+10 x^2+4 x^3\right)}} \, dx","Integrate[(E^((-15*x + 10*x^2 + 4*x^3)/5)*(-15 + 20*x + 12*x^2))/(-25 + 5*E^((-15*x + 10*x^2 + 4*x^3)/5)),x]","\frac{1}{5} \left(5 \log \left(e^{\frac{4 x^3}{5}+2 x^2}-5 e^{3 x}\right)-15 x\right)","\log \left(e^{x \left(\frac{4 x^2}{5}+2 x-3\right)}-5\right)+1",1,"(-15*x + 5*Log[-5*E^(3*x) + E^(2*x^2 + (4*x^3)/5)])/5","A",1
6242,1,20,20,0.0122038,"\int \left(1+e^{4 e^2-x}+18 x\right) \, dx","Integrate[1 + E^(4*E^2 - x) + 18*x,x]","9 x^2+x-e^{4 e^2-x}","9 x^2+x-e^{4 e^2-x}",1,"-E^(4*E^2 - x) + x + 9*x^2","A",1
6243,1,38,21,0.1302247,"\int \frac{x^2+4 x \log (2)+4 \log ^2(2)+e^{x+x^2} \left(2-2 x-4 x^2+(-4-8 x) \log (2)\right)}{x^2+4 x \log (2)+4 \log ^2(2)} \, dx","Integrate[(x^2 + 4*x*Log[2] + 4*Log[2]^2 + E^(x + x^2)*(2 - 2*x - 4*x^2 + (-4 - 8*x)*Log[2]))/(x^2 + 4*x*Log[2] + 4*Log[2]^2),x]","x-\frac{2 e^{x^2+x} \left(2 x^2+x (1+\log (16))+\log (4)\right)}{(2 x+1) (x+\log (4))^2}","x-\frac{e^{x^2+x}}{\frac{x}{2}+\log (2)}",1,"x - (2*E^(x + x^2)*(2*x^2 + Log[4] + x*(1 + Log[16])))/((1 + 2*x)*(x + Log[4])^2)","A",1
6244,1,22,19,0.0100384,"\int \left(1-6 x+e^x (1+x)+e^{1+x} \left(-2 x-x^2\right)\right) \, dx","Integrate[1 - 6*x + E^x*(1 + x) + E^(1 + x)*(-2*x - x^2),x]","-e^{x+1} x^2-3 x^2+e^x x+x","\left(-e^{x+1} x-3 x+e^x\right) x+x",1,"x + E^x*x - 3*x^2 - E^(1 + x)*x^2","A",1
6245,1,14,22,0.0050611,"\int \frac{-3-3 x-19 x^2}{3 x+19 x^2} \, dx","Integrate[(-3 - 3*x - 19*x^2)/(3*x + 19*x^2),x]","-x-\log (x)+\log (19 x+3)","-x-\log \left(\frac{5 e^2}{\frac{3}{x}+19}\right)+1",1,"-x - Log[x] + Log[3 + 19*x]","A",1
6246,1,13,20,0.0284709,"\int e^{-e^{625} x} \left(-24+e^{e^{625} x}+24 e^{625} x\right) \, dx","Integrate[(-24 + E^(E^625*x) + 24*E^625*x)/E^(E^625*x),x]","x-24 e^{-e^{625} x} x","\log \left(\frac{6}{5} e^{x-24 e^{-e^{625} x} x}\right)",1,"x - (24*x)/E^(E^625*x)","A",1
6247,1,25,27,0.3953595,"\int \frac{1800 x^7+2880 x^8+1152 x^9+\left(1200 x^7+960 x^8\right) \log (5)+200 x^7 \log ^2(5)+\exp \left(\exp \left(\frac{-3+15 x+12 x^2+5 x \log (5)}{15+12 x+5 \log (5)}\right)+\frac{-3+15 x+12 x^2+5 x \log (5)}{15+12 x+5 \log (5)}\right) \left(-783-1080 x-432 x^2+(-450-360 x) \log (5)-75 \log ^2(5)\right)}{225+360 x+144 x^2+(150+120 x) \log (5)+25 \log ^2(5)} \, dx","Integrate[(1800*x^7 + 2880*x^8 + 1152*x^9 + (1200*x^7 + 960*x^8)*Log[5] + 200*x^7*Log[5]^2 + E^(E^((-3 + 15*x + 12*x^2 + 5*x*Log[5])/(15 + 12*x + 5*Log[5])) + (-3 + 15*x + 12*x^2 + 5*x*Log[5])/(15 + 12*x + 5*Log[5]))*(-783 - 1080*x - 432*x^2 + (-450 - 360*x)*Log[5] - 75*Log[5]^2))/(225 + 360*x + 144*x^2 + (150 + 120*x)*Log[5] + 25*Log[5]^2),x]","x^8-3 e^{e^{x-\frac{3}{12 x+15+5 \log (5)}}}","x^8-3 e^{e^{x+\frac{1}{x-5 \left(x+1+\frac{\log (5)}{3}\right)}}}",1,"-3*E^E^(x - 3/(15 + 12*x + 5*Log[5])) + x^8","A",1
6248,1,21,18,0.0550906,"\int -\frac{4 e^{224/9}}{-x+3 e^{224/9} x+2 e^{224/9} x \log \left(\frac{e^4}{x^2}\right)} \, dx","Integrate[(-4*E^(224/9))/(-x + 3*E^(224/9)*x + 2*E^(224/9)*x*Log[E^4/x^2]),x]","\log \left(2 e^{224/9} \log \left(\frac{1}{x^2}\right)+11 e^{224/9}-1\right)","\log \left(-2 \log \left(\frac{e^4}{x^2}\right)+\frac{1}{e^{224/9}}-3\right)",1,"Log[-1 + 11*E^(224/9) + 2*E^(224/9)*Log[x^(-2)]]","A",1
6249,1,35,27,0.0614922,"\int \frac{\left(8 x^2-50 x^3-2 x^4-16 x^5+100 x^6+4 x^7\right) \log ^2\left(\frac{1}{x}\right)+\left(8-50 x-2 x^2\right) \log \left(4-25 x-x^2\right)+\log \left(\frac{1}{x}\right) \left(-50 x-4 x^2+\left(-8+50 x+2 x^2\right) \log \left(4-25 x-x^2\right)\right)}{\left(-4 x^2+25 x^3+x^4\right) \log ^2\left(\frac{1}{x}\right)} \, dx","Integrate[((8*x^2 - 50*x^3 - 2*x^4 - 16*x^5 + 100*x^6 + 4*x^7)*Log[x^(-1)]^2 + (8 - 50*x - 2*x^2)*Log[4 - 25*x - x^2] + Log[x^(-1)]*(-50*x - 4*x^2 + (-8 + 50*x + 2*x^2)*Log[4 - 25*x - x^2]))/((-4*x^2 + 25*x^3 + x^4)*Log[x^(-1)]^2),x]","2 \left(\frac{x^4}{2}-\frac{\log \left(-x^2-25 x+4\right)}{x \log \left(\frac{1}{x}\right)}-x\right)","x^4-2 \left(x+\frac{\log (4-x (x+25))}{x \log \left(\frac{1}{x}\right)}\right)",1,"2*(-x + x^4/2 - Log[4 - 25*x - x^2]/(x*Log[x^(-1)]))","A",1
6250,1,290,34,0.6263425,"\int \frac{e^{2 x} \left(4 x+16 x^2\right)+e^x \left(-8 x-32 x^2\right) \log (3)+\left(4 x+16 x^2\right) \log ^2(3)+\left(e^{2 x} \left(-8 x-16 x^2\right)-8 x^3 \log (3)+\left(-8 x-16 x^2\right) \log ^2(3)+e^x \left(8 x^3+\left(16 x+32 x^2\right) \log (3)\right)\right) \log (x)-4 e^x x^4 \log ^2(x)}{\left(e^{2 x} \left(1+8 x+16 x^2\right)+e^x \left(-2-16 x-32 x^2\right) \log (3)+\left(1+8 x+16 x^2\right) \log ^2(3)\right) \log ^2(x)+\left(e^x \left(2 x^2+8 x^3\right)+\left(-2 x^2-8 x^3\right) \log (3)\right) \log ^3(x)+x^4 \log ^4(x)} \, dx","Integrate[(E^(2*x)*(4*x + 16*x^2) + E^x*(-8*x - 32*x^2)*Log[3] + (4*x + 16*x^2)*Log[3]^2 + (E^(2*x)*(-8*x - 16*x^2) - 8*x^3*Log[3] + (-8*x - 16*x^2)*Log[3]^2 + E^x*(8*x^3 + (16*x + 32*x^2)*Log[3]))*Log[x] - 4*E^x*x^4*Log[x]^2)/((E^(2*x)*(1 + 8*x + 16*x^2) + E^x*(-2 - 16*x - 32*x^2)*Log[3] + (1 + 8*x + 16*x^2)*Log[3]^2)*Log[x]^2 + (E^x*(2*x^2 + 8*x^3) + (-2*x^2 - 8*x^3)*Log[3])*Log[x]^3 + x^4*Log[x]^4),x]","-\frac{4 x^2 \left(\frac{e^{2 x} (4 x+1)+(4 x+1) \log ^2(3)-e^x (8 x \log (3)+\log (9))}{\log (x)}-\frac{x^2 \left(x^3 \left(\log (9) \log (81)-4 \log ^2(3)\right)+x^2 \log ^2(3) (1+16 \log (3))+e^{3 x} \left(16 x^3-8 x^2-11 x-2\right)+e^x \left(4 x^3 \left(4 \log ^2(3)-\log (9)\right)-x^2 \left(8 \log ^2(3)+\log (9)+8 \log (3) \log (81)\right)-x \left(11 \log ^2(3)+8 \log (3) \log (9)+\log (9) \log (81)\right)-\log ^2(9)-2 \log ^2(3)\right)+e^{2 x} \left(x^3 (4-32 \log (3))+x^2 (1+8 \log (81))+2 x \log (129140163)+\log (729)\right)+12 x \log ^3(3)+2 \log ^3(3)\right)}{\left(x^2+e^x \left(4 x^2-3 x-2\right)+x \log (81)+\log (9)\right) \left(x^2 \log (x)+(4 x+1) \left(e^x-\log (3)\right)\right)}\right)}{(4 x+1)^2 \left(e^x-\log (3)\right)^2}","\frac{4 x}{\log (x) \left(\frac{x \log (x)}{\log (3)-e^x}-\frac{4 x+1}{x}\right)}",1,"(-4*x^2*((E^(2*x)*(1 + 4*x) + (1 + 4*x)*Log[3]^2 - E^x*(8*x*Log[3] + Log[9]))/Log[x] - (x^2*(E^(3*x)*(-2 - 11*x - 8*x^2 + 16*x^3) + 2*Log[3]^3 + 12*x*Log[3]^3 + x^2*Log[3]^2*(1 + 16*Log[3]) + x^3*(-4*Log[3]^2 + Log[9]*Log[81]) + E^x*(-2*Log[3]^2 + 4*x^3*(4*Log[3]^2 - Log[9]) - Log[9]^2 - x^2*(8*Log[3]^2 + Log[9] + 8*Log[3]*Log[81]) - x*(11*Log[3]^2 + 8*Log[3]*Log[9] + Log[9]*Log[81])) + E^(2*x)*(x^3*(4 - 32*Log[3]) + x^2*(1 + 8*Log[81]) + Log[729] + 2*x*Log[129140163])))/((x^2 + E^x*(-2 - 3*x + 4*x^2) + Log[9] + x*Log[81])*((1 + 4*x)*(E^x - Log[3]) + x^2*Log[x]))))/((1 + 4*x)^2*(E^x - Log[3])^2)","B",0
6251,1,14,14,0.0087579,"\int \frac{-26 x^2+e^x (-3+3 x)}{2 x^2} \, dx","Integrate[(-26*x^2 + E^x*(-3 + 3*x))/(2*x^2),x]","\frac{3 e^x}{2 x}-13 x","\frac{3 e^x}{2 x}-13 x",1,"(3*E^x)/(2*x) - 13*x","A",1
6252,1,16,19,0.002946,"\int \frac{4 x^2-4 e^{16} \log (4)}{x^2 \log (4)} \, dx","Integrate[(4*x^2 - 4*E^16*Log[4])/(x^2*Log[4]),x]","\frac{4 e^{16}}{x}+\frac{4 x}{\log (4)}","\frac{4 \left(x+e^{16}\right)}{x}+\frac{4 x}{\log (4)}-1",1,"(4*E^16)/x + (4*x)/Log[4]","A",1
6253,1,32,24,0.0134404,"\int \frac{1}{3} \left(-12 x+6 x^2+\left(-4 x+2 x^2\right) (i \pi +\log (\log (3)))+\log \left(x^2\right) \left(-12 x+9 x^2+\left(-4 x+3 x^2\right) (i \pi +\log (\log (3)))\right)\right) \, dx","Integrate[(-12*x + 6*x^2 + (-4*x + 2*x^2)*(I*Pi + Log[Log[3]]) + Log[x^2]*(-12*x + 9*x^2 + (-4*x + 3*x^2)*(I*Pi + Log[Log[3]])))/3,x]","\frac{1}{3} (3+i \pi +\log (\log (3))) \left(x^3 \log \left(x^2\right)-2 x^2 \log \left(x^2\right)\right)","\frac{1}{3} (x-2) x^2 (3+i \pi +\log (\log (3))) \log \left(x^2\right)",1,"((-2*x^2*Log[x^2] + x^3*Log[x^2])*(3 + I*Pi + Log[Log[3]]))/3","A",1
6254,1,16,17,0.0015282,"\int \frac{27 e^{17}-4 x^2}{6 x^2} \, dx","Integrate[(27*E^17 - 4*x^2)/(6*x^2),x]","-\frac{2 x}{3}-\frac{9 e^{17}}{2 x}","-\frac{2 x}{3}-\frac{9 e^{17}}{2 x}+21",1,"(-9*E^17)/(2*x) - (2*x)/3","A",1
6255,1,19,17,0.0267625,"\int \frac{40+2 x^5+\left(5-x^5\right) \log \left(\frac{25-10 x^5+x^{10}}{x^8}\right)}{-30 x^2+6 x^7} \, dx","Integrate[(40 + 2*x^5 + (5 - x^5)*Log[(25 - 10*x^5 + x^10)/x^8])/(-30*x^2 + 6*x^7),x]","\frac{\log \left(\frac{\left(x^5-5\right)^2}{x^8}\right)}{6 x}","\frac{\log \left(\left(x-\frac{5}{x^4}\right)^2\right)}{6 x}",1,"Log[(-5 + x^5)^2/x^8]/(6*x)","A",1
6256,1,21,22,0.1193064,"\int \frac{e^{-\frac{5 x}{-1+5 x}} \left(3-45 x+75 x^2+e^{\frac{5 x}{-1+5 x}} \left(-x^2+10 x^3-25 x^4\right)\right)}{x^2-10 x^3+25 x^4} \, dx","Integrate[(3 - 45*x + 75*x^2 + E^((5*x)/(-1 + 5*x))*(-x^2 + 10*x^3 - 25*x^4))/(E^((5*x)/(-1 + 5*x))*(x^2 - 10*x^3 + 25*x^4)),x]","-x-\frac{3 e^{\frac{5 x}{1-5 x}}}{x}","-x-\frac{3 e^{-\frac{x}{x-\frac{1}{5}}}}{x}+6",1,"(-3*E^((5*x)/(1 - 5*x)))/x - x","A",1
6257,0,0,35,0.6015201,"\int \frac{5 x^2+2 x^3+x^4+\left(-10 x-4 x^2-2 x^3\right) \log \left(\frac{5+2 x+x^2}{5 x+e^3 x}\right)+\left(5+2 x+x^2\right) \log ^2\left(\frac{5+2 x+x^2}{5 x+e^3 x}\right)+\left(5-x^2+\left(5+2 x+x^2\right) \log \left(\frac{5+2 x+x^2}{5 x+e^3 x}\right)\right) \log (\log (3))}{5 x^2+2 x^3+x^4+\left(-10 x-4 x^2-2 x^3\right) \log \left(\frac{5+2 x+x^2}{5 x+e^3 x}\right)+\left(5+2 x+x^2\right) \log ^2\left(\frac{5+2 x+x^2}{5 x+e^3 x}\right)} \, dx","Integrate[(5*x^2 + 2*x^3 + x^4 + (-10*x - 4*x^2 - 2*x^3)*Log[(5 + 2*x + x^2)/(5*x + E^3*x)] + (5 + 2*x + x^2)*Log[(5 + 2*x + x^2)/(5*x + E^3*x)]^2 + (5 - x^2 + (5 + 2*x + x^2)*Log[(5 + 2*x + x^2)/(5*x + E^3*x)])*Log[Log[3]])/(5*x^2 + 2*x^3 + x^4 + (-10*x - 4*x^2 - 2*x^3)*Log[(5 + 2*x + x^2)/(5*x + E^3*x)] + (5 + 2*x + x^2)*Log[(5 + 2*x + x^2)/(5*x + E^3*x)]^2),x]","\int \frac{5 x^2+2 x^3+x^4+\left(-10 x-4 x^2-2 x^3\right) \log \left(\frac{5+2 x+x^2}{5 x+e^3 x}\right)+\left(5+2 x+x^2\right) \log ^2\left(\frac{5+2 x+x^2}{5 x+e^3 x}\right)+\left(5-x^2+\left(5+2 x+x^2\right) \log \left(\frac{5+2 x+x^2}{5 x+e^3 x}\right)\right) \log (\log (3))}{5 x^2+2 x^3+x^4+\left(-10 x-4 x^2-2 x^3\right) \log \left(\frac{5+2 x+x^2}{5 x+e^3 x}\right)+\left(5+2 x+x^2\right) \log ^2\left(\frac{5+2 x+x^2}{5 x+e^3 x}\right)} \, dx","\frac{x \log (\log (3))}{x-\frac{x^2}{\log \left(\frac{x+\frac{5}{x}+2}{5+e^3}\right)}}+x",1,"Integrate[(5*x^2 + 2*x^3 + x^4 + (-10*x - 4*x^2 - 2*x^3)*Log[(5 + 2*x + x^2)/(5*x + E^3*x)] + (5 + 2*x + x^2)*Log[(5 + 2*x + x^2)/(5*x + E^3*x)]^2 + (5 - x^2 + (5 + 2*x + x^2)*Log[(5 + 2*x + x^2)/(5*x + E^3*x)])*Log[Log[3]])/(5*x^2 + 2*x^3 + x^4 + (-10*x - 4*x^2 - 2*x^3)*Log[(5 + 2*x + x^2)/(5*x + E^3*x)] + (5 + 2*x + x^2)*Log[(5 + 2*x + x^2)/(5*x + E^3*x)]^2), x]","F",-1
6258,1,14,23,0.0092143,"\int \frac{36864+e^7+384 e x+e^2 x^2}{36864+384 e x+e^2 x^2} \, dx","Integrate[(36864 + E^7 + 384*E*x + E^2*x^2)/(36864 + 384*E*x + E^2*x^2),x]","x-\frac{e^6}{e x+192}","\frac{e^5}{x^2-(x+1) x-\frac{192}{e}}+x",1,"x - E^6/(192 + E*x)","A",1
6259,1,62,31,0.3715931,"\int \frac{24 e^2 x^4-e^{2+x} x^6-108 e^2 x^3 \log (x)+\left(-180 e^2 x^3+12 e^{2+x} x^5\right) \log ^2(x)+324 e^2 x^2 \log ^3(x)+\left(729 e^2 x^2-54 e^{2+x} x^4\right) \log ^4(x)+\left(-1620 e^2 x+108 e^{2+x} x^3\right) \log ^6(x)+\left(1215 e^2-81 e^{2+x} x^2\right) \log ^8(x)}{576 x^4+240 x^5+25 x^6+e^{2 x} x^6+e^x \left(48 x^5+10 x^6\right)+\left(-4320 x^3-2340 x^4-300 x^5-12 e^{2 x} x^5+e^x \left(-468 x^4-120 x^5\right)\right) \log ^2(x)+\left(14580 x^2+8910 x^3+1350 x^4+54 e^{2 x} x^4+e^x \left(1782 x^3+540 x^4\right)\right) \log ^4(x)+\left(-24300 x-16200 x^2-2700 x^3-108 e^{2 x} x^3+e^x \left(-3240 x^2-1080 x^3\right)\right) \log ^6(x)+\left(18225+12150 x+2025 x^2+81 e^{2 x} x^2+e^x \left(2430 x+810 x^2\right)\right) \log ^8(x)} \, dx","Integrate[(24*E^2*x^4 - E^(2 + x)*x^6 - 108*E^2*x^3*Log[x] + (-180*E^2*x^3 + 12*E^(2 + x)*x^5)*Log[x]^2 + 324*E^2*x^2*Log[x]^3 + (729*E^2*x^2 - 54*E^(2 + x)*x^4)*Log[x]^4 + (-1620*E^2*x + 108*E^(2 + x)*x^3)*Log[x]^6 + (1215*E^2 - 81*E^(2 + x)*x^2)*Log[x]^8)/(576*x^4 + 240*x^5 + 25*x^6 + E^(2*x)*x^6 + E^x*(48*x^5 + 10*x^6) + (-4320*x^3 - 2340*x^4 - 300*x^5 - 12*E^(2*x)*x^5 + E^x*(-468*x^4 - 120*x^5))*Log[x]^2 + (14580*x^2 + 8910*x^3 + 1350*x^4 + 54*E^(2*x)*x^4 + E^x*(1782*x^3 + 540*x^4))*Log[x]^4 + (-24300*x - 16200*x^2 - 2700*x^3 - 108*E^(2*x)*x^3 + E^x*(-3240*x^2 - 1080*x^3))*Log[x]^6 + (18225 + 12150*x + 2025*x^2 + 81*E^(2*x)*x^2 + E^x*(2430*x + 810*x^2))*Log[x]^8),x]","\frac{e^2 x \left(x-3 \log ^2(x)\right)^2}{x^2 \left(\left(e^x+5\right) x+24\right)+9 \left(\left(e^x+5\right) x+15\right) \log ^4(x)-6 x \left(\left(e^x+5\right) x+15\right) \log ^2(x)}","\frac{e^2}{e^x+\frac{15}{x}+\frac{9 x}{\left(3 \log ^2(x)-x\right)^2}+5}",1,"(E^2*x*(x - 3*Log[x]^2)^2)/(x^2*(24 + (5 + E^x)*x) - 6*x*(15 + (5 + E^x)*x)*Log[x]^2 + 9*(15 + (5 + E^x)*x)*Log[x]^4)","A",1
6260,1,22,22,1.4580873,"\int \frac{e^{-e^x x-\log ^2(-x+\log (x))} x \left(-x+e^x \left(x^2+x^3\right)+\left(1+e^x \left(-x-x^2\right)\right) \log (x)+(-2+2 x) \log (-x+\log (x))\right)}{-x^2+x \log (x)} \, dx","Integrate[(E^(-(E^x*x) - Log[-x + Log[x]]^2)*x*(-x + E^x*(x^2 + x^3) + (1 + E^x*(-x - x^2))*Log[x] + (-2 + 2*x)*Log[-x + Log[x]]))/(-x^2 + x*Log[x]),x]","x e^{-e^x x-\log ^2(\log (x)-x)}","x e^{-e^x x-\log ^2(\log (x)-x)}",1,"E^(-(E^x*x) - Log[-x + Log[x]]^2)*x","A",1
6261,1,34,25,0.1198806,"\int \frac{(-36+12 x) \log (x) \log \left(3 x^2\right)+(-9+3 x-9 \log (x)) \log ^2\left(3 x^2\right)+\left(-12+7 x-x^2+\left(-12+x^2\right) \log (x)\right) \log ^4\left(3 x^2\right)}{81-54 x+9 x^2+\left(216-198 x+60 x^2-6 x^3\right) \log ^2\left(3 x^2\right)+\left(144-168 x+73 x^2-14 x^3+x^4\right) \log ^4\left(3 x^2\right)} \, dx","Integrate[((-36 + 12*x)*Log[x]*Log[3*x^2] + (-9 + 3*x - 9*Log[x])*Log[3*x^2]^2 + (-12 + 7*x - x^2 + (-12 + x^2)*Log[x])*Log[3*x^2]^4)/(81 - 54*x + 9*x^2 + (216 - 198*x + 60*x^2 - 6*x^3)*Log[3*x^2]^2 + (144 - 168*x + 73*x^2 - 14*x^3 + x^4)*Log[3*x^2]^4),x]","-\frac{x \log (x) \log ^2\left(3 x^2\right)}{(x-3) \left((x-4) \log ^2\left(3 x^2\right)-3\right)}","-\frac{x \log (x)}{(x-3) \left(-\frac{3}{\log ^2\left(3 x^2\right)}+x-4\right)}",1,"-((x*Log[x]*Log[3*x^2]^2)/((-3 + x)*(-3 + (-4 + x)*Log[3*x^2]^2)))","A",1
6262,1,43,29,0.5364918,"\int \frac{-12+e^{4+4 x} (-1-x)-15 x-9 x^2-x^3+e^{2+2 x} \left(7+8 x+6 x^2\right)+\left(-x+2 e^{2+2 x} x\right) \log (x)}{16 x+e^{4+4 x} x+8 x^2+x^3+e^{2+2 x} \left(-8 x-2 x^2\right)} \, dx","Integrate[(-12 + E^(4 + 4*x)*(-1 - x) - 15*x - 9*x^2 - x^3 + E^(2 + 2*x)*(7 + 8*x + 6*x^2) + (-x + 2*E^(2 + 2*x)*x)*Log[x])/(16*x + E^(4 + 4*x)*x + 8*x^2 + x^3 + E^(2 + 2*x)*(-8*x - 2*x^2)),x]","-\frac{2 x}{-x+e^{2 x+2}-4}-x-\frac{\log (x)}{-x+e^{2 x+2}-4}-\log (x)","-x-\log (x)+\frac{2 x+\log (x)}{x-e^{2 x+2}+4}",1,"-x - (2*x)/(-4 + E^(2 + 2*x) - x) - Log[x] - Log[x]/(-4 + E^(2 + 2*x) - x)","A",1
6263,1,22,24,0.5143141,"\int \frac{-750+300 x-30 x^2+e^{-\frac{1}{-30+6 x}} \left(-750+295 x-30 x^2\right)}{\left(150+690 x-294 x^2+30 x^3+e^{-\frac{1}{-30+6 x}} \left(750 x-300 x^2+30 x^3\right)\right) \log \left(\frac{5}{1+5 x+5 e^{-\frac{1}{-30+6 x}} x}\right)} \, dx","Integrate[(-750 + 300*x - 30*x^2 + (-750 + 295*x - 30*x^2)/E^(-30 + 6*x)^(-1))/((150 + 690*x - 294*x^2 + 30*x^3 + (750*x - 300*x^2 + 30*x^3)/E^(-30 + 6*x)^(-1))*Log[5/(1 + 5*x + (5*x)/E^(-30 + 6*x)^(-1))]),x]","\log \left(\log \left(\frac{5}{5 \left(e^{\frac{1}{30-6 x}}+1\right) x+1}\right)\right)","\log \left(\log \left(\frac{1}{e^{\frac{1}{6 (5-x)}} x+x+\frac{1}{5}}\right)\right)",1,"Log[Log[5/(1 + 5*(1 + E^(30 - 6*x)^(-1))*x)]]","A",1
6264,1,26,32,1.3259591,"\int \frac{e^{-1-x+x \log (2)+x^2 \log \left(\frac{1}{-4 x+x^2}\right)} \left(4+3 x-2 x^2+(-4+x) \log (2)+\left(-8 x+2 x^2\right) \log \left(\frac{1}{-4 x+x^2}\right)\right)}{-16+4 x} \, dx","Integrate[(E^(-1 - x + x*Log[2] + x^2*Log[(-4*x + x^2)^(-1)])*(4 + 3*x - 2*x^2 + (-4 + x)*Log[2] + (-8*x + 2*x^2)*Log[(-4*x + x^2)^(-1)]))/(-16 + 4*x),x]","2^{x-2} e^{-x-1} \left(\frac{1}{x^2-4 x}\right)^{x^2}","\frac{1}{4} e^{x^2 \log \left(-\frac{1}{(4-x) x}\right)-x+x \log (2)-1}",1,"2^(-2 + x)*E^(-1 - x)*((-4*x + x^2)^(-1))^x^2","A",1
6265,1,18,19,0.1838159,"\int \frac{x+e^x \left(x+x^2\right)+\left(x+e^x \left(x+x^2\right)\right) \log (x)+\log \left(e^5 x\right)+(1+\log (x)) \log (1+\log (x))}{x+x \log (x)} \, dx","Integrate[(x + E^x*(x + x^2) + (x + E^x*(x + x^2))*Log[x] + Log[E^5*x] + (1 + Log[x])*Log[1 + Log[x]])/(x + x*Log[x]),x]","\left(e^x+1\right) x+(\log (x)+5) \log (\log (x)+1)","e^x x+x+\log \left(e^5 x\right) \log (\log (x)+1)",1,"(1 + E^x)*x + (5 + Log[x])*Log[1 + Log[x]]","A",1
6266,0,0,35,2.2132618,"\int \frac{-8 x+10 x^2-2 x^3+e^{2+2 x} \left(-20-6 x+2 x^2\right)+e^{1+x} \left(16-2 x-8 x^2+2 x^3\right)+e^{\frac{x^2}{4}} \left(-2 x+2 x^2+e^{1+x} \left(4-3 x^2\right)+e^{2+2 x} \left(-4+x^2\right)\right)+\left(e^{2+2 x} (10-2 x)+e^{1+x} \left(-8+10 x-2 x^2\right)+e^{\frac{x^2}{4}} \left(e^{2+2 x} (2-x)+e^{1+x} (-2+2 x)\right)\right) \log \left(-4-e^{\frac{x^2}{4}}+x\right)}{e^{2+2 x+\frac{x^2}{4}}+e^{2+2 x} (4-x)} \, dx","Integrate[(-8*x + 10*x^2 - 2*x^3 + E^(2 + 2*x)*(-20 - 6*x + 2*x^2) + E^(1 + x)*(16 - 2*x - 8*x^2 + 2*x^3) + E^(x^2/4)*(-2*x + 2*x^2 + E^(1 + x)*(4 - 3*x^2) + E^(2 + 2*x)*(-4 + x^2)) + (E^(2 + 2*x)*(10 - 2*x) + E^(1 + x)*(-8 + 10*x - 2*x^2) + E^(x^2/4)*(E^(2 + 2*x)*(2 - x) + E^(1 + x)*(-2 + 2*x)))*Log[-4 - E^(x^2/4) + x])/(E^(2 + 2*x + x^2/4) + E^(2 + 2*x)*(4 - x)),x]","\int \frac{-8 x+10 x^2-2 x^3+e^{2+2 x} \left(-20-6 x+2 x^2\right)+e^{1+x} \left(16-2 x-8 x^2+2 x^3\right)+e^{\frac{x^2}{4}} \left(-2 x+2 x^2+e^{1+x} \left(4-3 x^2\right)+e^{2+2 x} \left(-4+x^2\right)\right)+\left(e^{2+2 x} (10-2 x)+e^{1+x} \left(-8+10 x-2 x^2\right)+e^{\frac{x^2}{4}} \left(e^{2+2 x} (2-x)+e^{1+x} (-2+2 x)\right)\right) \log \left(-4-e^{\frac{x^2}{4}}+x\right)}{e^{2+2 x+\frac{x^2}{4}}+e^{2+2 x} (4-x)} \, dx","8-\left(\log \left(-e^{\frac{x^2}{4}}+x-4\right)+e^{-x-1} x-x-2\right)^2",1,"Integrate[(-8*x + 10*x^2 - 2*x^3 + E^(2 + 2*x)*(-20 - 6*x + 2*x^2) + E^(1 + x)*(16 - 2*x - 8*x^2 + 2*x^3) + E^(x^2/4)*(-2*x + 2*x^2 + E^(1 + x)*(4 - 3*x^2) + E^(2 + 2*x)*(-4 + x^2)) + (E^(2 + 2*x)*(10 - 2*x) + E^(1 + x)*(-8 + 10*x - 2*x^2) + E^(x^2/4)*(E^(2 + 2*x)*(2 - x) + E^(1 + x)*(-2 + 2*x)))*Log[-4 - E^(x^2/4) + x])/(E^(2 + 2*x + x^2/4) + E^(2 + 2*x)*(4 - x)), x]","F",-1
6267,1,21,21,0.2345648,"\int \frac{-e^{e^x} x+e^{e^{-e^x} \left(x+e^{e^x} (1+x)\right)} \left(-x-e^{e^x} x+e^x x^2\right)+\left(e^{e^x+e^{-e^x} \left(x+e^{e^x} (1+x)\right)}+e^{e^x} x\right) \log \left(e^{e^{-e^x} \left(x+e^{e^x} (1+x)\right)}+x\right)}{\left(e^{e^x+e^{-e^x} \left(x+e^{e^x} (1+x)\right)}+e^{e^x} x\right) \log ^2\left(e^{e^{-e^x} \left(x+e^{e^x} (1+x)\right)}+x\right)} \, dx","Integrate[(-(E^E^x*x) + E^((x + E^E^x*(1 + x))/E^E^x)*(-x - E^E^x*x + E^x*x^2) + (E^(E^x + (x + E^E^x*(1 + x))/E^E^x) + E^E^x*x)*Log[E^((x + E^E^x*(1 + x))/E^E^x) + x])/((E^(E^x + (x + E^E^x*(1 + x))/E^E^x) + E^E^x*x)*Log[E^((x + E^E^x*(1 + x))/E^E^x) + x]^2),x]","\frac{x}{\log \left(x+e^{e^{-e^x} x+x+1}\right)}","\frac{x}{\log \left(x+e^{e^{-e^x} x+x+1}\right)}",1,"x/Log[E^(1 + x + x/E^E^x) + x]","A",1
6268,1,27,25,0.1405471,"\int \frac{-1+64 x+8 x^2+e^5 \left(-96 x^2-12 x^3\right)+\left(-16 x-2 x^2+e^5 \left(24 x^2+3 x^3\right)\right) \log (8+x)}{-32-4 x+(8+x) \log (8+x)} \, dx","Integrate[(-1 + 64*x + 8*x^2 + E^5*(-96*x^2 - 12*x^3) + (-16*x - 2*x^2 + E^5*(24*x^2 + 3*x^3))*Log[8 + x])/(-32 - 4*x + (8 + x)*Log[8 + x]),x]","e^5 \left(x^3+512\right)-x^2-\log (4-\log (x+8))+64","e^5 x^3-x^2-\log (4-\log (x+8))-2",1,"64 - x^2 + E^5*(512 + x^3) - Log[4 - Log[8 + x]]","A",1
6269,1,32,16,0.0449344,"\int \frac{4 x+32 x^2+8 x \log (2 x)}{1+24 x+192 x^2+512 x^3} \, dx","Integrate[(4*x + 32*x^2 + 8*x*Log[2*x])/(1 + 24*x + 192*x^2 + 512*x^3),x]","\frac{64 x^2 \log (x)-x \log (65536)+\log (x)-\log (2 x)}{16 (8 x+1)^2}","\frac{4 x^2 \log (2 x)}{(8 x+1)^2}",1,"(-(x*Log[65536]) + Log[x] + 64*x^2*Log[x] - Log[2*x])/(16*(1 + 8*x)^2)","A",1
6270,1,35,30,0.0514886,"\int \frac{e^{-2 x} \left(e^5 \left(3 x^3-2 x^4\right)+e^{2 x} \left(2+e^5 \left(-x-2 x^2\right)\right)\right)}{2 x} \, dx","Integrate[(E^5*(3*x^3 - 2*x^4) + E^(2*x)*(2 + E^5*(-x - 2*x^2)))/(2*E^(2*x)*x),x]","\frac{1}{2} e^{5-2 x} x^3-\frac{e^5 x^2}{2}-\frac{e^5 x}{2}+\log (x)","\log (x)-\frac{1}{2} e^5 \left(e^{-2 x} \left(e^{2 x}-x\right) x^2+x\right)",1,"-1/2*(E^5*x) - (E^5*x^2)/2 + (E^(5 - 2*x)*x^3)/2 + Log[x]","A",1
6271,1,11,14,0.0021413,"\int \frac{x-2 x^2+2 \log (x)}{x} \, dx","Integrate[(x - 2*x^2 + 2*Log[x])/x,x]","-x^2+x+\log ^2(x)","-x^2+x+\log ^2(x)+3+\log (5)",1,"x - x^2 + Log[x]^2","A",1
6272,1,20,21,0.0153531,"\int \frac{-6-x^2+8 e^{3-4 x} x^2}{2 x^2} \, dx","Integrate[(-6 - x^2 + 8*E^(3 - 4*x)*x^2)/(2*x^2),x]","-\frac{x}{2}-e^{3-4 x}+\frac{3}{x}","-\frac{x}{2}-e^{3-4 x}+\frac{3}{x}+4",1,"-E^(3 - 4*x) + 3/x - x/2","A",1
6273,1,53,35,0.1288144,"\int \frac{10368-55296 x+110592 x^2-183624 x^3+473408 x^4-852480 x^5+748360 x^6-321920 x^7+172800 x^8-153600 x^9+51200 x^{10}+\left(-53280 x^3+193920 x^4-232960 x^5+113760 x^6-86400 x^7+115200 x^8-51200 x^9\right) \log (x)+\left(-8280 x^3+17280 x^4-8320 x^5+10800 x^6-28800 x^7+19200 x^8\right) \log ^2(x)+\left(2400 x^6-3200 x^7\right) \log ^3(x)+200 x^6 \log ^4(x)}{1296 x-6912 x^2+13824 x^3-15528 x^4+21376 x^5-34560 x^6+32745 x^7-21040 x^8+21600 x^9-19200 x^{10}+6400 x^{11}+\left(-2160 x^4+8640 x^5-11520 x^6+7820 x^7-10800 x^8+14400 x^9-6400 x^{10}\right) \log (x)+\left(-360 x^4+960 x^5-640 x^6+1350 x^7-3600 x^8+2400 x^9\right) \log ^2(x)+\left(300 x^7-400 x^8\right) \log ^3(x)+25 x^7 \log ^4(x)} \, dx","Integrate[(10368 - 55296*x + 110592*x^2 - 183624*x^3 + 473408*x^4 - 852480*x^5 + 748360*x^6 - 321920*x^7 + 172800*x^8 - 153600*x^9 + 51200*x^10 + (-53280*x^3 + 193920*x^4 - 232960*x^5 + 113760*x^6 - 86400*x^7 + 115200*x^8 - 51200*x^9)*Log[x] + (-8280*x^3 + 17280*x^4 - 8320*x^5 + 10800*x^6 - 28800*x^7 + 19200*x^8)*Log[x]^2 + (2400*x^6 - 3200*x^7)*Log[x]^3 + 200*x^6*Log[x]^4)/(1296*x - 6912*x^2 + 13824*x^3 - 15528*x^4 + 21376*x^5 - 34560*x^6 + 32745*x^7 - 21040*x^8 + 21600*x^9 - 19200*x^10 + 6400*x^11 + (-2160*x^4 + 8640*x^5 - 11520*x^6 + 7820*x^7 - 10800*x^8 + 14400*x^9 - 6400*x^10)*Log[x] + (-360*x^4 + 960*x^5 - 640*x^6 + 1350*x^7 - 3600*x^8 + 2400*x^9)*Log[x]^2 + (300*x^7 - 400*x^8)*Log[x]^3 + 25*x^7*Log[x]^4),x]","8 \left(\frac{5 (3-4 x)^2}{(3-4 x)^2 \left(5 x^3-4\right)+5 x^3 \log ^2(x)+10 (3-4 x) x^3 \log (x)}+\log (x)\right)","4 \left(\log \left(x^2\right)+\frac{2}{x \left(\frac{\log (x)}{4-\frac{3}{x}}-x\right)^2-\frac{4}{5}}\right)",1,"8*(Log[x] + (5*(3 - 4*x)^2)/((3 - 4*x)^2*(-4 + 5*x^3) + 10*(3 - 4*x)*x^3*Log[x] + 5*x^3*Log[x]^2))","A",1
6274,1,37,27,0.093156,"\int \frac{-732656250+46976265 x-1128063 x^2+12024 x^3-48 x^4+\left(-117206250+5632800 x-90120 x^2+480 x^3\right) \log (x)+\left(-7031625+225150 x-1800 x^2\right) \log ^2(x)+(-187500+3000 x) \log ^3(x)-1875 \log ^4(x)+\left(6250-2605 x+40 x^2+(250-100 x) \log (x)\right) \log \left(x^3\right)}{244140625 x-15656250 x^2+376001 x^3-4008 x^4+16 x^5+\left(39062500 x-1877500 x^2+30040 x^3-160 x^4\right) \log (x)+\left(2343750 x-75050 x^2+600 x^3\right) \log ^2(x)+\left(62500 x-1000 x^2\right) \log ^3(x)+625 x \log ^4(x)} \, dx","Integrate[(-732656250 + 46976265*x - 1128063*x^2 + 12024*x^3 - 48*x^4 + (-117206250 + 5632800*x - 90120*x^2 + 480*x^3)*Log[x] + (-7031625 + 225150*x - 1800*x^2)*Log[x]^2 + (-187500 + 3000*x)*Log[x]^3 - 1875*Log[x]^4 + (6250 - 2605*x + 40*x^2 + (250 - 100*x)*Log[x])*Log[x^3])/(244140625*x - 15656250*x^2 + 376001*x^3 - 4008*x^4 + 16*x^5 + (39062500*x - 1877500*x^2 + 30040*x^3 - 160*x^4)*Log[x] + (2343750*x - 75050*x^2 + 600*x^3)*Log[x]^2 + (62500*x - 1000*x^2)*Log[x]^3 + 625*x*Log[x]^4),x]","-\frac{5 \log \left(x^3\right)}{4 x^2-501 x+25 \log ^2(x)+(1250-20 x) \log (x)+15625}-3 \log (x)","\left(\frac{5}{x-(5 (\log (x)+25)-2 x)^2}-1\right) \log \left(x^3\right)",1,"-3*Log[x] - (5*Log[x^3])/(15625 - 501*x + 4*x^2 + (1250 - 20*x)*Log[x] + 25*Log[x]^2)","A",1
6275,1,12,17,0.0755818,"\int \frac{-3-\log (x)-\log (\log (3))}{16+8 \log (x)+\log ^2(x)+(8+2 \log (x)) \log (\log (3))+\log ^2(\log (3))} \, dx","Integrate[(-3 - Log[x] - Log[Log[3]])/(16 + 8*Log[x] + Log[x]^2 + (8 + 2*Log[x])*Log[Log[3]] + Log[Log[3]]^2),x]","-\frac{x}{\log (x \log (3))+4}","-\frac{x}{\log (x)+4+\log (\log (3))}+e^5+1",1,"-(x/(4 + Log[x*Log[3]]))","A",1
6276,1,22,25,0.0750812,"\int \frac{4-4 x+9 x^2-x^3-x^4+x^5+e^{4 x} (1+x)+e^{2 x} \left(6 x+2 x^3\right)+\left(-2 x+2 x^3+e^{2 x} (2+2 x)\right) \log (x)+(1+x) \log ^2(x)}{e^{4 x} x+x^3-2 x^4+x^5+e^{2 x} \left(-2 x^2+2 x^3\right)+\left(2 e^{2 x} x-2 x^2+2 x^3\right) \log (x)+x \log ^2(x)} \, dx","Integrate[(4 - 4*x + 9*x^2 - x^3 - x^4 + x^5 + E^(4*x)*(1 + x) + E^(2*x)*(6*x + 2*x^3) + (-2*x + 2*x^3 + E^(2*x)*(2 + 2*x))*Log[x] + (1 + x)*Log[x]^2)/(E^(4*x)*x + x^3 - 2*x^4 + x^5 + E^(2*x)*(-2*x^2 + 2*x^3) + (2*E^(2*x)*x - 2*x^2 + 2*x^3)*Log[x] + x*Log[x]^2),x]","-\frac{4}{x^2-x+e^{2 x}+\log (x)}+x+\log (x)","-\frac{4}{x^2-x+e^{2 x}+\log (x)}+x+\log (x)+\frac{10}{3}",1,"x + Log[x] - 4/(E^(2*x) - x + x^2 + Log[x])","A",1
6277,1,19,20,0.0058805,"\int -\frac{9 e^{\frac{16}{e^2}}}{81 e^8 x+18 e^4 x \log (x)+x \log ^2(x)} \, dx","Integrate[(-9*E^(16/E^2))/(81*E^8*x + 18*E^4*x*Log[x] + x*Log[x]^2),x]","\frac{9 e^{\frac{16}{e^2}}}{\log (x)+9 e^4}","\frac{e^{\frac{16}{e^2}}}{\frac{\log (x)}{9}+e^4}",1,"(9*E^(16/E^2))/(9*E^4 + Log[x])","A",1
6278,1,23,25,0.0210168,"\int \frac{14 e^4 x-324 x^4+27 x^6+10206 x^9+e^2 \left(-4+3 x^2-756 x^5\right)}{e^4-54 e^2 x^4+729 x^8} \, dx","Integrate[(14*E^4*x - 324*x^4 + 27*x^6 + 10206*x^9 + E^2*(-4 + 3*x^2 - 756*x^5))/(E^4 - 54*E^2*x^4 + 729*x^8),x]","x \left(\frac{x^2-4}{e^2-27 x^4}+7 x\right)","\left(4-x^2\right) \left(\frac{x}{27 x^4-e^2}-7\right)",1,"x*(7*x + (-4 + x^2)/(E^2 - 27*x^4))","A",1
6279,1,10,10,0.0117473,"\int \left(-58 x+3 x^2+e^x \left(2 x+x^2\right)\right) \, dx","Integrate[-58*x + 3*x^2 + E^x*(2*x + x^2),x]","x^2 \left(x+e^x-29\right)","x^2 \left(x+e^x-29\right)",1,"x^2*(-29 + E^x + x)","A",1
6280,1,74,18,0.0159358,"\int \left(-48 x^2+128 x^3-120 x^4+48 x^5-7 x^6+\left(96 x^2-192 x^3+120 x^4-24 x^5\right) \log (9)+\left(-72 x^2+96 x^3-30 x^4\right) \log ^2(9)+\left(24 x^2-16 x^3\right) \log ^3(9)-3 x^2 \log ^4(9)\right) \, dx","Integrate[-48*x^2 + 128*x^3 - 120*x^4 + 48*x^5 - 7*x^6 + (96*x^2 - 192*x^3 + 120*x^4 - 24*x^5)*Log[9] + (-72*x^2 + 96*x^3 - 30*x^4)*Log[9]^2 + (24*x^2 - 16*x^3)*Log[9]^3 - 3*x^2*Log[9]^4,x]","-x^7-x^6 (\log (6561)-8)-\frac{3}{5} x^5 (\log (9)-2) (-20+7 \log (9)+\log (729))-\frac{1}{4} x^4 (\log (9)-2)^2 (-32+7 \log (9)+3 \log (729))-\frac{1}{3} x^3 (\log (9)-2)^3 (\log (729)-6)","8-x^3 (-x+2-\log (9))^4",1,"-x^7 - (x^3*(-2 + Log[9])^3*(-6 + Log[729]))/3 - (3*x^5*(-2 + Log[9])*(-20 + 7*Log[9] + Log[729]))/5 - (x^4*(-2 + Log[9])^2*(-32 + 7*Log[9] + 3*Log[729]))/4 - x^6*(-8 + Log[6561])","B",1
6281,1,152,23,0.1341331,"\int \frac{137 x^2+54 x^3+5 x^4-8 x \log \left(\frac{29+5 x}{5+x}\right)+\left(-145-54 x-5 x^2\right) \log ^2\left(\frac{29+5 x}{5+x}\right)}{290 x^2+108 x^3+10 x^4} \, dx","Integrate[(137*x^2 + 54*x^3 + 5*x^4 - 8*x*Log[(29 + 5*x)/(5 + x)] + (-145 - 54*x - 5*x^2)*Log[(29 + 5*x)/(5 + x)]^2)/(290*x^2 + 108*x^3 + 10*x^4),x]","\frac{1}{2} \left(x-\frac{1}{5} \log ^2\left(-\frac{4}{5 (x+5)}\right)+\frac{1}{5} \log ^2(x+5)+\frac{\log ^2\left(\frac{5 x+29}{x+5}\right)}{x}-\frac{2}{5} \log \left(\frac{1}{4} (5 x+29)\right) \log \left(-\frac{4}{5 (x+5)}\right)+\frac{2}{5} \log \left(\frac{5 x+29}{x+5}\right) \log \left(-\frac{4}{5 (x+5)}\right)-2 \log (x+5)-\frac{2}{5} \log (x+5) \log \left(\frac{1}{4} (5 x+29)\right)+2 \log (5 x+29)+\frac{2}{5} \log (x+5) \log \left(\frac{5 x+29}{x+5}\right)\right)","\frac{\left(x+\log \left(\frac{x+9}{x+5}+4\right)\right)^2}{2 x}",1,"(x - Log[-4/(5*(5 + x))]^2/5 - 2*Log[5 + x] + Log[5 + x]^2/5 - (2*Log[-4/(5*(5 + x))]*Log[(29 + 5*x)/4])/5 - (2*Log[5 + x]*Log[(29 + 5*x)/4])/5 + 2*Log[29 + 5*x] + (2*Log[-4/(5*(5 + x))]*Log[(29 + 5*x)/(5 + x)])/5 + (2*Log[5 + x]*Log[(29 + 5*x)/(5 + x)])/5 + Log[(29 + 5*x)/(5 + x)]^2/x)/2","B",1
6282,1,34,25,0.3929764,"\int \frac{10 x^3+\left(45 x^2-15 x^3\right) \log (-3+x)+\left(-75+25 x+e^{x^2} \left(-15+5 x-30 x^2+10 x^3\right)+\left(-30 x+10 x^2\right) \log (3)\right) \log ^3(-3+x)}{(-3+x) \log ^3(-3+x)} \, dx","Integrate[(10*x^3 + (45*x^2 - 15*x^3)*Log[-3 + x] + (-75 + 25*x + E^x^2*(-15 + 5*x - 30*x^2 + 10*x^3) + (-30*x + 10*x^2)*Log[3])*Log[-3 + x]^3)/((-3 + x)*Log[-3 + x]^3),x]","5 \left(-\frac{x^3}{\log ^2(x-3)}+\left(e^{x^2}+5\right) x+x^2 \log (3)-15-\log (19683)\right)","5 x \left(e^{x^2}-\frac{x^2}{\log ^2(x-3)}+x \log (3)+5\right)",1,"5*(-15 + (5 + E^x^2)*x + x^2*Log[3] - Log[19683] - x^3/Log[-3 + x]^2)","A",1
6283,1,22,26,0.0311435,"\int \frac{-20+15 x-5 x^2-5 \log (4)}{48-40 x+27 x^2-9 x^3+x^4+\left(24-14 x+10 x^2-2 x^3\right) \log (3)+\left(3-x+x^2\right) \log ^2(3)+\left(16-8 x+x^2+(8-2 x) \log (3)+\log ^2(3)\right) \log (4)+\left(24-14 x+10 x^2-2 x^3+\left(6-2 x+2 x^2\right) \log (3)+(8-2 x+2 \log (3)) \log (4)\right) \log \left(-3+x-x^2-\log (4)\right)+\left(3-x+x^2+\log (4)\right) \log ^2\left(-3+x-x^2-\log (4)\right)} \, dx","Integrate[(-20 + 15*x - 5*x^2 - 5*Log[4])/(48 - 40*x + 27*x^2 - 9*x^3 + x^4 + (24 - 14*x + 10*x^2 - 2*x^3)*Log[3] + (3 - x + x^2)*Log[3]^2 + (16 - 8*x + x^2 + (8 - 2*x)*Log[3] + Log[3]^2)*Log[4] + (24 - 14*x + 10*x^2 - 2*x^3 + (6 - 2*x + 2*x^2)*Log[3] + (8 - 2*x + 2*Log[3])*Log[4])*Log[-3 + x - x^2 - Log[4]] + (3 - x + x^2 + Log[4])*Log[-3 + x - x^2 - Log[4]]^2),x]","-\frac{5}{\log \left(-3 \left(x^2-x+3+\log (4)\right)\right)-x+4}","\frac{5}{-\log \left(-x^2+x-3-\log (4)\right)+x-4-\log (3)}",1,"-5/(4 - x + Log[-3*(3 - x + x^2 + Log[4])])","A",1
6284,1,22,24,0.0637966,"\int \frac{\exp \left(\frac{9}{-48 x-24 x \log (2)-3 x \log ^2(2)+e^e \left(16 x+8 x \log (2)+x \log ^2(2)\right)}\right) \left(-9-48 x-24 x \log (2)-3 x \log ^2(2)+e^e \left(16 x+8 x \log (2)+x \log ^2(2)\right)\right)}{-48 x-24 x \log (2)-3 x \log ^2(2)+e^e \left(16 x+8 x \log (2)+x \log ^2(2)\right)} \, dx","Integrate[(E^(9/(-48*x - 24*x*Log[2] - 3*x*Log[2]^2 + E^E*(16*x + 8*x*Log[2] + x*Log[2]^2)))*(-9 - 48*x - 24*x*Log[2] - 3*x*Log[2]^2 + E^E*(16*x + 8*x*Log[2] + x*Log[2]^2)))/(-48*x - 24*x*Log[2] - 3*x*Log[2]^2 + E^E*(16*x + 8*x*Log[2] + x*Log[2]^2)),x]","x e^{\frac{9}{\left(e^e-3\right) x (4+\log (2))^2}}","x e^{\frac{9 x}{\left(e^e-3\right) (4 x+x \log (2))^2}}",1,"E^(9/((-3 + E^E)*x*(4 + Log[2])^2))*x","A",1
6285,1,14,15,0.0016239,"\int (1-13 x-2 x \log (x)) \, dx","Integrate[1 - 13*x - 2*x*Log[x],x]","-6 x^2+x^2 (-\log (x))+x","-6 x^2+x^2 (-\log (x))+x-14",1,"x - 6*x^2 - x^2*Log[x]","A",1
6286,1,32,19,0.0967628,"\int \frac{-162+460 x-75 x^2+\left(54-153 x+24 x^2\right) \log (6-x)}{-6 x^{10}+x^{11}} \, dx","Integrate[(-162 + 460*x - 75*x^2 + (54 - 153*x + 24*x^2)*Log[6 - x])/(-6*x^10 + x^11),x]","-\frac{3}{x^9}+\frac{\log (6-x)}{x^9}+\frac{9}{x^8}-\frac{3 \log (6-x)}{x^8}","\frac{(3 x-1) (3-\log (6-x))}{x^9}",1,"-3/x^9 + 9/x^8 + Log[6 - x]/x^9 - (3*Log[6 - x])/x^8","A",1
6287,1,22,26,0.0965867,"\int \frac{e^{-x} \left(12+e^x (-4 x-4 x \log (5))+\left(-12 x-4 e^x x\right) \log (x)\right)}{3 x} \, dx","Integrate[(12 + E^x*(-4*x - 4*x*Log[5]) + (-12*x - 4*E^x*x)*Log[x])/(3*E^x*x),x]","-\frac{4}{3} \left(x \log (x)+x \log (5)-3 e^{-x} \log (x)\right)","4 \left(-\frac{1}{3} x \log (x)-\frac{1}{3} x \log (5)+e^{-x} \log (x)+3\right)",1,"(-4*(x*Log[5] - (3*Log[x])/E^x + x*Log[x]))/3","A",1
6288,1,19,22,0.0130915,"\int \frac{-4+2 x+x^2+e (-3+3 x)+e^5 \left(2 x-x^2\right)}{-4 x-3 e x-x^2+e^5 x^2} \, dx","Integrate[(-4 + 2*x + x^2 + E*(-3 + 3*x) + E^5*(2*x - x^2))/(-4*x - 3*E*x - x^2 + E^5*x^2),x]","-x+\log (x)+\log \left(-e^5 x+x+3 e+4\right)","\log \left(e^{-x} x \left(\frac{x+3 e+4}{e^5}-x\right)\right)",1,"-x + Log[x] + Log[4 + 3*E + x - E^5*x]","A",1
6289,1,9,18,0.0000877,"\int (-4-2 x) \, dx","Integrate[-4 - 2*x,x]","-x^2-4 x","\frac{4}{3} (-3 x-e-5)-x^2",1,"-4*x - x^2","A",1
6290,1,21,22,0.2010739,"\int \frac{-3 x^2+4 x^3+\left(-3+4 x-3 x^2\right) \log (x)+\left(-3+4 x-4 x \log (x)+3 \log ^2(x)\right) \log \left(\frac{1}{3} (3-4 x+3 \log (x))\right)}{3 x^2-4 x^3+3 x^2 \log (x)} \, dx","Integrate[(-3*x^2 + 4*x^3 + (-3 + 4*x - 3*x^2)*Log[x] + (-3 + 4*x - 4*x*Log[x] + 3*Log[x]^2)*Log[(3 - 4*x + 3*Log[x])/3])/(3*x^2 - 4*x^3 + 3*x^2*Log[x]),x]","-x-\frac{\log (x) \log \left(-\frac{4 x}{3}+\log (x)+1\right)}{x}","-x-\frac{\log (x) \log \left(-\frac{4 x}{3}+\log (x)+1\right)}{x}+5",1,"-x - (Log[x]*Log[1 - (4*x)/3 + Log[x]])/x","A",1
6291,1,22,24,0.7205659,"\int \frac{\exp \left(e^{-x+25 \log ^{18-12 x+2 x^2}\left(e^3 x\right)}-x+25 \log ^{18-12 x+2 x^2}\left(e^3 x\right)\right) \left(-x \log \left(e^3 x\right)+\log ^{18-12 x+2 x^2}\left(e^3 x\right) \left(450-300 x+50 x^2+\left(-300 x+100 x^2\right) \log \left(e^3 x\right) \log \left(\log \left(e^3 x\right)\right)\right)\right)}{x \log \left(e^3 x\right)} \, dx","Integrate[(E^(E^(-x + 25*Log[E^3*x]^(18 - 12*x + 2*x^2)) - x + 25*Log[E^3*x]^(18 - 12*x + 2*x^2))*(-(x*Log[E^3*x]) + Log[E^3*x]^(18 - 12*x + 2*x^2)*(450 - 300*x + 50*x^2 + (-300*x + 100*x^2)*Log[E^3*x]*Log[Log[E^3*x]])))/(x*Log[E^3*x]),x]","e^{e^{25 (\log (x)+3)^{2 (x-3)^2}-x}}","e^{e^{25 \log ^{2 (x-3)^2}\left(e^3 x\right)-x}}",1,"E^E^(-x + 25*(3 + Log[x])^(2*(-3 + x)^2))","A",1
6292,1,16,23,0.0073524,"\int \frac{1+(-3-x) \log ^2(3) \log ^2(3+x)}{(3+x) \log ^2(3) \log ^2(3+x)} \, dx","Integrate[(1 + (-3 - x)*Log[3]^2*Log[3 + x]^2)/((3 + x)*Log[3]^2*Log[3 + x]^2),x]","-x-\frac{1}{\log ^2(3) \log (x+3)}","-x+\frac{-\frac{1}{\log (x+3)}-2+\log (\log (5))}{\log ^2(3)}+5",1,"-x - 1/(Log[3]^2*Log[3 + x])","A",1
6293,1,29,31,0.1828674,"\int \frac{3 e^{x+x^2}+e^{x+x^2} \left(-3+15 x-6 x^2\right) \log (x)+e^x (-1+5 x) \log ^2(x)+\left(-3 e^{x+x^2} x \log (x)-e^x x \log ^2(x)\right) \log \left(\frac{e^{-1/e} \left(3 e^{x^2} x+x \log (x)\right)}{\log (x)}\right)}{3 e^{x^2} x \log (x)+x \log ^2(x)} \, dx","Integrate[(3*E^(x + x^2) + E^(x + x^2)*(-3 + 15*x - 6*x^2)*Log[x] + E^x*(-1 + 5*x)*Log[x]^2 + (-3*E^(x + x^2)*x*Log[x] - E^x*x*Log[x]^2)*Log[(3*E^x^2*x + x*Log[x])/(E^E^(-1)*Log[x])])/(3*E^x^2*x*Log[x] + x*Log[x]^2),x]","e^{x-1} \left(-e \log \left(\frac{3 e^{x^2} x}{\log (x)}+x\right)+5 e+1\right)","e^x \left(5-\log \left(e^{-1/e} \left(\frac{3 e^{x^2} x}{\log (x)}+x\right)\right)\right)",1,"E^(-1 + x)*(1 + 5*E - E*Log[x + (3*E^x^2*x)/Log[x]])","A",1
6294,1,21,19,0.2944164,"\int \left(1+e^{-10 x-5 e^{x^4} x+10 x^2} \left(-10+20 x+e^{x^4} \left(-5-20 x^4\right)\right)\right) \, dx","Integrate[1 + E^(-10*x - 5*E^x^4*x + 10*x^2)*(-10 + 20*x + E^x^4*(-5 - 20*x^4)),x]","e^{-5 e^{x^4} x+10 x^2-10 x}+x","e^{5 x \left(-e^{x^4}+2 x-2\right)}+x",1,"E^(-10*x - 5*E^x^4*x + 10*x^2) + x","A",1
6295,1,32,15,0.0270396,"\int e^{\frac{1+e^{67} \left(-20+3 x-e^2 x\right)}{e^{67}}} \left(3-e^2\right) \, dx","Integrate[E^((1 + E^67*(-20 + 3*x - E^2*x))/E^67)*(3 - E^2),x]","-\frac{\left(e^2-3\right) e^{-e^2 x+3 x+\frac{1}{e^{67}}-20}}{3-e^2}","e^{-\left(\left(e^2-3\right) x\right)+\frac{1}{e^{67}}-20}",1,"-((E^(-20 + E^(-67) + 3*x - E^2*x)*(-3 + E^2))/(3 - E^2))","B",1
6296,1,69,32,2.9029123,"\int \frac{1}{8} \exp \left(\frac{1}{2} \left(-2 x \log (3)-e^x \left(1-2 x^2 \log (3)\right)\right)\right) \left(8+(10-8 x) \log (3)+e^x \left(5-4 x+\left(-20 x+6 x^2+8 x^3\right) \log (3)\right)\right) \, dx","Integrate[(E^((-2*x*Log[3] - E^x*(1 - 2*x^2*Log[3]))/2)*(8 + (10 - 8*x)*Log[3] + E^x*(5 - 4*x + (-20*x + 6*x^2 + 8*x^3)*Log[3])))/8,x]","\frac{1}{8} \int \left(e^x \left(\left(8 x^3+6 x^2-20 x\right) \log (3)-4 x+5\right)+(10-8 x) \log (3)+8\right) \exp \left(\frac{1}{2} \left(-e^x \left(1-2 x^2 \log (3)\right)-2 x \log (3)\right)\right) \, dx","\frac{1}{4} (4 x-5) e^{-\frac{e^x}{2}-x \left(1-e^x x\right) \log (3)}",1,"Integrate[E^((-2*x*Log[3] - E^x*(1 - 2*x^2*Log[3]))/2)*(8 + (10 - 8*x)*Log[3] + E^x*(5 - 4*x + (-20*x + 6*x^2 + 8*x^3)*Log[3])), x]/8","F",1
6297,1,29,30,0.1765854,"\int \exp \left(-\frac{5}{x}+e^{-5/x} \left(104976 x^3+16 e^{2 x} x^3+51840 x^4+8992 x^5+640 x^6+16 x^7+e^x \left(-2592 x^3-640 x^4-32 x^5\right)\right)\right) \left(524880 x+574128 x^2+252320 x^3+48160 x^4+3920 x^5+112 x^6+e^{2 x} \left(80 x+48 x^2+32 x^3\right)+e^x \left(-12960 x-10976 x^2-5312 x^3-800 x^4-32 x^5\right)\right) \, dx","Integrate[E^(-5/x + (104976*x^3 + 16*E^(2*x)*x^3 + 51840*x^4 + 8992*x^5 + 640*x^6 + 16*x^7 + E^x*(-2592*x^3 - 640*x^4 - 32*x^5))/E^(5/x))*(524880*x + 574128*x^2 + 252320*x^3 + 48160*x^4 + 3920*x^5 + 112*x^6 + E^(2*x)*(80*x + 48*x^2 + 32*x^3) + E^x*(-12960*x - 10976*x^2 - 5312*x^3 - 800*x^4 - 32*x^5)),x]","e^{16 e^{-5/x} x^3 \left(x^2+20 x-e^x+81\right)^2}","e^{16 e^{-5/x} x^3 \left((x+9)^2-e^x+2 x\right)^2}",1,"E^((16*x^3*(81 - E^x + 20*x + x^2)^2)/E^(5/x))","A",1
6298,1,15,21,0.1590687,"\int \frac{375 x+(3-375 x) \log \left(\frac{1}{125} (1-125 x)\right)}{-x^2+125 x^3+\left(-2 x+250 x^2\right) \log \left(\frac{1}{125} (1-125 x)\right)+(-1+125 x) \log ^2\left(\frac{1}{125} (1-125 x)\right)} \, dx","Integrate[(375*x + (3 - 375*x)*Log[(1 - 125*x)/125])/(-x^2 + 125*x^3 + (-2*x + 250*x^2)*Log[(1 - 125*x)/125] + (-1 + 125*x)*Log[(1 - 125*x)/125]^2),x]","-\frac{3 x}{x+\log \left(\frac{1}{125}-x\right)}","\frac{3 x}{\frac{x^2}{\log \left(\frac{1}{125}-x\right)}+x}",1,"(-3*x)/(x + Log[1/125 - x])","A",1
6299,1,32,18,0.062627,"\int \frac{-18-36 x+36 x^3+108 x^4+216 x^5+216 x^6+72 x^7+e^{2 x} \left(18 x^3+54 x^4+54 x^5+18 x^6\right)+e^x \left(-18 x-36 x^2-36 x^3-126 x^4-216 x^5-144 x^6-36 x^7\right)}{x^3+3 x^4+3 x^5+x^6} \, dx","Integrate[(-18 - 36*x + 36*x^3 + 108*x^4 + 216*x^5 + 216*x^6 + 72*x^7 + E^(2*x)*(18*x^3 + 54*x^4 + 54*x^5 + 18*x^6) + E^x*(-18*x - 36*x^2 - 36*x^3 - 126*x^4 - 216*x^5 - 144*x^6 - 36*x^7))/(x^3 + 3*x^4 + 3*x^5 + x^6),x]","\frac{9 \left(-2 x^3-2 x^2+e^x (x+1) x+1\right)^2}{x^2 (x+1)^2}","9 \left(\frac{1}{x^2+x}-2 x+e^x\right)^2",1,"(9*(1 - 2*x^2 - 2*x^3 + E^x*x*(1 + x))^2)/(x^2*(1 + x)^2)","A",1
6300,1,24,26,0.504738,"\int \frac{e^x \left(x^4-x^5\right)+e^{\frac{e^{4 x}}{x^4}} \left(e^{5 x} (-4+4 x)+e^{4 x} \left(12 x-12 x^2\right)\right)}{e^x x^5-3 x^6} \, dx","Integrate[(E^x*(x^4 - x^5) + E^(E^(4*x)/x^4)*(E^(5*x)*(-4 + 4*x) + E^(4*x)*(12*x - 12*x^2)))/(E^x*x^5 - 3*x^6),x]","e^{\frac{e^{4 x}}{x^4}}-\log \left(e^x-3 x\right)+\log (x)","e^{\frac{e^{4 x}}{x^4}}-\log \left(3-\frac{e^x}{x}\right)+3",1,"E^(E^(4*x)/x^4) - Log[E^x - 3*x] + Log[x]","A",1
6301,1,26,22,0.1068588,"\int \left(2 e^{5+2 x}+e^x \left(-1-2 x-7 x^2-6 x^3-x^4\right)\right) \, dx","Integrate[2*E^(5 + 2*x) + E^x*(-1 - 2*x - 7*x^2 - 6*x^3 - x^4),x]","e^x \left(-x^4-2 x^3-x^2+e^{x+5}-1\right)","e^x \left(-\left(x^2+x\right)^2+e^{x+5}-1\right)-6",1,"E^x*(-1 + E^(5 + x) - x^2 - 2*x^3 - x^4)","A",1
6302,1,15,17,0.2290905,"\int \frac{e^x x^2+\left(4 x-2 e^x x-2 x \log (3)\right) \log \left(-2+e^x+\log (3)\right)}{\left(-2+e^x+\log (3)\right) \log ^2\left(-2+e^x+\log (3)\right)} \, dx","Integrate[(E^x*x^2 + (4*x - 2*E^x*x - 2*x*Log[3])*Log[-2 + E^x + Log[3]])/((-2 + E^x + Log[3])*Log[-2 + E^x + Log[3]]^2),x]","-\frac{x^2}{\log \left(e^x-2+\log (3)\right)}","7-\frac{x^2}{\log \left(e^x-2+\log (3)\right)}",1,"-(x^2/Log[-2 + E^x + Log[3]])","A",1
6303,1,23,24,0.5755017,"\int \frac{e^{\frac{3 e^{x^2}}{\log ((4-x) \log (x))}} \left(e^{x^2} (60-15 x) \log (4)-15 e^{x^2} x \log (4) \log (x)+e^{x^2} \left(-120 x^2+30 x^3\right) \log (4) \log (x) \log ((4-x) \log (x))\right)}{\left(-4 x+x^2\right) \log (x) \log ^2((4-x) \log (x))} \, dx","Integrate[(E^((3*E^x^2)/Log[(4 - x)*Log[x]])*(E^x^2*(60 - 15*x)*Log[4] - 15*E^x^2*x*Log[4]*Log[x] + E^x^2*(-120*x^2 + 30*x^3)*Log[4]*Log[x]*Log[(4 - x)*Log[x]]))/((-4*x + x^2)*Log[x]*Log[(4 - x)*Log[x]]^2),x]","5 \log (4) e^{\frac{3 e^{x^2}}{\log (-((x-4) \log (x)))}}","5 \log (4) e^{\frac{3 e^{x^2}}{\log ((4-x) \log (x))}}",1,"5*E^((3*E^x^2)/Log[-((-4 + x)*Log[x])])*Log[4]","A",1
6304,1,21,28,0.0589375,"\int \frac{-9 e^{\frac{1}{e^5 x}}-6 e^5 x^3}{9 e^{5+\frac{2}{e^5 x}} x^2+e^5 x^6+6 e^5 x^4 \log (5)+9 e^5 x^2 \log ^2(5)+e^{\frac{1}{e^5 x}} \left(-6 e^5 x^4-18 e^5 x^2 \log (5)\right)} \, dx","Integrate[(-9*E^(1/(E^5*x)) - 6*E^5*x^3)/(9*E^(5 + 2/(E^5*x))*x^2 + E^5*x^6 + 6*E^5*x^4*Log[5] + 9*E^5*x^2*Log[5]^2 + E^(1/(E^5*x))*(-6*E^5*x^4 - 18*E^5*x^2*Log[5])),x]","\frac{3}{x^2-3 e^{\frac{1}{e^5 x}}+\log (125)}","5-\frac{3}{3 \left(e^{\frac{1}{e^5 x}}-\log (5)\right)-x^2}",1,"3/(-3*E^(1/(E^5*x)) + x^2 + Log[125])","A",1
6305,1,17,19,0.1386208,"\int e^{2+(25-5 x) \log ^2(2 x)} \left(1+(50-10 x) \log (2 x)-5 x \log ^2(2 x)\right) \, dx","Integrate[E^(2 + (25 - 5*x)*Log[2*x]^2)*(1 + (50 - 10*x)*Log[2*x] - 5*x*Log[2*x]^2),x]","x e^{2-5 (x-5) \log ^2(2 x)}","x e^{5 (5-x) \log ^2(2 x)+2}",1,"E^(2 - 5*(-5 + x)*Log[2*x]^2)*x","A",1
6306,1,33,36,0.0998631,"\int \frac{192 e^{6+4 e^3}+192 e^{6+2 x}+e^{3+x} \left(-48-4 x^2\right) \log (3)+3 \log ^2(3)+e^{2 e^3} \left(-384 e^{6+x}+48 e^3 \log (3)\right)}{64 e^{6+4 e^3} x^2+64 e^{6+2 x} x^2-16 e^{3+x} x^2 \log (3)+x^2 \log ^2(3)+e^{2 e^3} \left(-128 e^{6+x} x^2+16 e^3 x^2 \log (3)\right)} \, dx","Integrate[(192*E^(6 + 4*E^3) + 192*E^(6 + 2*x) + E^(3 + x)*(-48 - 4*x^2)*Log[3] + 3*Log[3]^2 + E^(2*E^3)*(-384*E^(6 + x) + 48*E^3*Log[3]))/(64*E^(6 + 4*E^3)*x^2 + 64*E^(6 + 2*x)*x^2 - 16*E^(3 + x)*x^2*Log[3] + x^2*Log[3]^2 + E^(2*E^3)*(-128*E^(6 + x)*x^2 + 16*E^3*x^2*Log[3])),x]","-\frac{3}{x}-\frac{\log (3)}{-16 e^{x+3}+16 e^{3+2 e^3}+\log (9)}","\frac{\frac{x}{2-\frac{\log (3)}{4 e^3 \left(e^x-e^{2 e^3}\right)}}-3}{x}",1,"-3/x - Log[3]/(16*E^(3 + 2*E^3) - 16*E^(3 + x) + Log[9])","A",1
6307,1,25,24,0.1620436,"\int \frac{e^{\frac{40}{-12+2500 x^3-2500 x^4+625 x^5}} \left(-2100000 x^2+2800000 x^3-875000 x^4\right)}{144-60000 x^3+60000 x^4-15000 x^5+6250000 x^6-12500000 x^7+9375000 x^8-3125000 x^9+390625 x^{10}} \, dx","Integrate[(E^(40/(-12 + 2500*x^3 - 2500*x^4 + 625*x^5))*(-2100000*x^2 + 2800000*x^3 - 875000*x^4))/(144 - 60000*x^3 + 60000*x^4 - 15000*x^5 + 6250000*x^6 - 12500000*x^7 + 9375000*x^8 - 3125000*x^9 + 390625*x^10),x]","7 e^{\frac{40}{625 x^5-2500 x^4+2500 x^3-12}}","7 e^{-\frac{10}{3-\frac{625}{4} (2-x)^2 x^3}}",1,"7*E^(40/(-12 + 2500*x^3 - 2500*x^4 + 625*x^5))","A",1
6308,1,27,23,0.0024617,"\int \frac{e^8 \left(-96-160 x-64 x^2\right)}{9 x^7} \, dx","Integrate[(E^8*(-96 - 160*x - 64*x^2))/(9*x^7),x]","-\frac{32}{9} e^8 \left(-\frac{1}{2 x^6}-\frac{1}{x^5}-\frac{1}{2 x^4}\right)","\frac{16 e^8 \left(\frac{2 x-1}{x}-3\right)^2}{9 x^4}",1,"(-32*E^8*(-1/2*1/x^6 - x^(-5) - 1/(2*x^4)))/9","A",1
6309,1,17,16,0.0034389,"\int \left(3+3 e^x+16 x+4 x^3\right) \, dx","Integrate[3 + 3*E^x + 16*x + 4*x^3,x]","x^4+8 x^2+3 x+3 e^x","\left(x^2+4\right)^2+3 \left(x+e^x\right)-2",1,"3*E^x + 3*x + 8*x^2 + x^4","A",1
6310,1,18,18,0.2094747,"\int e^{2+3 x+x^2} \left(5+17 x+13 x^2+2 x^3+e^x \left(1+4 x+2 x^2\right)\right) \, dx","Integrate[E^(2 + 3*x + x^2)*(5 + 17*x + 13*x^2 + 2*x^3 + E^x*(1 + 4*x + 2*x^2)),x]","e^{x^2+3 x+2} x \left(x+e^x+5\right)","e^{(x+1)^2+x+1} x \left(x+e^x+5\right)",1,"E^(2 + 3*x + x^2)*x*(5 + E^x + x)","A",1
6311,1,29,20,0.0686546,"\int \frac{-6+e^x (-2+2 x)+8 x \log \left(16 e^{2 x}\right)-2 \log ^2\left(16 e^{2 x}\right)}{x^2} \, dx","Integrate[(-6 + E^x*(-2 + 2*x) + 8*x*Log[16*E^(2*x)] - 2*Log[16*E^(2*x)]^2)/x^2,x]","\frac{2 \left(4 x^2+e^x+\left(\log \left(16 e^{2 x}\right)-2 x\right)^2+3\right)}{x}","\frac{2 \left(e^x+\log ^2\left(16 e^{2 x}\right)+3\right)}{x}",1,"(2*(3 + E^x + 4*x^2 + (-2*x + Log[16*E^(2*x)])^2))/x","A",1
6312,1,29,30,1.0122541,"\int \frac{\left(-8 x^2+2 x^3\right) \log ^3(x)+\exp \left(\frac{e^2+\left(-e^{e+x} x+x^2\right) \log ^2(x)}{x \log ^2(x)}\right) \left(-2 e^2-e^2 \log (x)+\left(x^2-e^{e+x} x^2\right) \log ^3(x)\right)}{x^2 \log ^3(x)} \, dx","Integrate[((-8*x^2 + 2*x^3)*Log[x]^3 + E^((E^2 + (-(E^(E + x)*x) + x^2)*Log[x]^2)/(x*Log[x]^2))*(-2*E^2 - E^2*Log[x] + (x^2 - E^(E + x)*x^2)*Log[x]^3))/(x^2*Log[x]^3),x]","x^2-8 x+e^{x-e^{x+e}+\frac{e^2}{x \log ^2(x)}}","(4-x)^2+e^{x-e^{x+e}+\frac{e^2}{x \log ^2(x)}}",1,"E^(-E^(E + x) + x + E^2/(x*Log[x]^2)) - 8*x + x^2","A",1
6313,1,14,14,0.1083156,"\int \frac{16-4 x-\log (3)+(-16+2 x+\log (3)) \log \left(-16 x+2 x^2+x \log (3)\right)}{(-16+2 x+\log (3)) \log ^2\left(-16 x+2 x^2+x \log (3)\right)} \, dx","Integrate[(16 - 4*x - Log[3] + (-16 + 2*x + Log[3])*Log[-16*x + 2*x^2 + x*Log[3]])/((-16 + 2*x + Log[3])*Log[-16*x + 2*x^2 + x*Log[3]]^2),x]","\frac{x}{\log (x (2 x-16+\log (3)))}","\frac{x}{\log (x (2 x-16+\log (3)))}",1,"x/Log[x*(-16 + 2*x + Log[3])]","A",1
6314,1,43,35,0.0970108,"\int \frac{e^{4 x} \left(6+8 x-2 x^2\right)+e^{2 x} \left(6 x+8 x^2-2 x^3\right)+\left(e^{4 x} \left(-8 x+4 x^2\right)+e^{2 x} \left(6 x-12 x^2-14 x^3+4 x^4\right)\right) \log (x)+\left(-12 x-4 x^3+e^{2 x} \left(-10 x-36 x^2+8 x^3\right)\right) \log ^2(x)}{\left(e^{4 x} x+2 e^{2 x} x^2+x^3\right) \log ^2(x)} \, dx","Integrate[(E^(4*x)*(6 + 8*x - 2*x^2) + E^(2*x)*(6*x + 8*x^2 - 2*x^3) + (E^(4*x)*(-8*x + 4*x^2) + E^(2*x)*(6*x - 12*x^2 - 14*x^3 + 4*x^4))*Log[x] + (-12*x - 4*x^3 + E^(2*x)*(-10*x - 36*x^2 + 8*x^3))*Log[x]^2)/((E^(4*x)*x + 2*E^(2*x)*x^2 + x^3)*Log[x]^2),x]","\frac{2 \left(e^{2 x} \left(x^2-4 x-3\right)+\left(-2 x^2+7 x+6\right) \log (x)\right)}{\left(x+e^{2 x}\right) \log (x)}","\frac{2 \left(((x-4) x-3) \left(\frac{e^{2 x}}{\log (x)}-2\right)-x\right)}{x+e^{2 x}}",1,"(2*(E^(2*x)*(-3 - 4*x + x^2) + (6 + 7*x - 2*x^2)*Log[x]))/((E^(2*x) + x)*Log[x])","A",1
6315,1,19,22,0.0019203,"\int \frac{-10-3 x^3+4 x^4+15 x^5}{x^3} \, dx","Integrate[(-10 - 3*x^3 + 4*x^4 + 15*x^5)/x^3,x]","5 x^3+2 x^2+\frac{5}{x^2}-3 x","4 x^3+\frac{5}{x^2}+(x-1) (x+3) x-9+\log (2)",1,"5/x^2 - 3*x + 2*x^2 + 5*x^3","A",1
6316,1,28,26,0.0661437,"\int \frac{108241+658 e^3+e^6+6561 e^{4 x}+e^{2 x} \left(158274+162 e^3+648 x\right)+e^{3 x} \left(52488+162 x-81 x^2\right)+e^x \left(213192+658 x+329 x^2+e^3 \left(648+2 x+x^2\right)\right)}{108241+658 e^3+e^6+52488 e^{3 x}+6561 e^{4 x}+e^{2 x} \left(158274+162 e^3\right)+e^x \left(213192+648 e^3\right)} \, dx","Integrate[(108241 + 658*E^3 + E^6 + 6561*E^(4*x) + E^(2*x)*(158274 + 162*E^3 + 648*x) + E^(3*x)*(52488 + 162*x - 81*x^2) + E^x*(213192 + 658*x + 329*x^2 + E^3*(648 + 2*x + x^2)))/(108241 + 658*E^3 + E^6 + 52488*E^(3*x) + 6561*E^(4*x) + E^(2*x)*(158274 + 162*E^3) + E^x*(213192 + 648*E^3)),x]","\frac{e^x x^2}{324 e^x+81 e^{2 x}+329+e^3}+x","\frac{e^x x^2}{81 \left(e^x+2\right)^2+e^3+5}+x-2",1,"x + (E^x*x^2)/(329 + E^3 + 324*E^x + 81*E^(2*x))","A",1
6317,1,24,23,0.27993,"\int \frac{2+4 x+e^x \left(-1-x+x^2\right)+e^{2 e^{25} x} \left(1+2 x+e^{25} \left(-2 x-2 x^2\right)\right)}{x^2+2 x^3+x^4} \, dx","Integrate[(2 + 4*x + E^x*(-1 - x + x^2) + E^(2*E^25*x)*(1 + 2*x + E^25*(-2*x - 2*x^2)))/(x^2 + 2*x^3 + x^4),x]","-\frac{-e^x+e^{2 e^{25} x}+2}{x^2+x}","\frac{e^x-e^{2 e^{25} x}-2}{x^2+x}",1,"-((2 - E^x + E^(2*E^25*x))/(x + x^2))","A",1
6318,1,21,22,0.01402,"\int \frac{-15 e^3+3 x^2+2 x^3}{15 e^3 x+x^2+3 x^3+x^4} \, dx","Integrate[(-15*E^3 + 3*x^2 + 2*x^3)/(15*E^3*x + x^2 + 3*x^3 + x^4),x]","\log \left(x^3+3 x^2+x+15 e^3\right)-\log (x)","\log \left(\frac{x^3+x}{x}+3 x+\frac{15 e^3}{x}\right)",1,"-Log[x] + Log[15*E^3 + x + 3*x^2 + x^3]","A",1
6319,1,68,22,0.1272869,"\int \frac{16 x^2+e \left(-4 x-32 x^2\right)+e^2 \left(-30+4 x+16 x^2\right)+e^9 \left(-16 e x+e^2 (-20+16 x)\right)+\left(24 x^2+e \left(-6 x-48 x^2\right)+e^2 \left(10+6 x+24 x^2\right)+e^9 \left(-24 e x+e^2 (-10+24 x)\right)\right) \log (x)+\left(12 x^2+e^9 \left(-12 e x+12 e^2 x\right)+e \left(2 x-24 x^2\right)+e^2 \left(-2 x+12 x^2\right)\right) \log ^2(x)+\left(2 x^2+e^9 \left(-2 e x+2 e^2 x\right)+e \left(2 x-4 x^2\right)+e^2 \left(-2 x+2 x^2\right)\right) \log ^3(x)}{8 e^2 x+12 e^2 x \log (x)+6 e^2 x \log ^2(x)+e^2 x \log ^3(x)} \, dx","Integrate[(16*x^2 + E*(-4*x - 32*x^2) + E^2*(-30 + 4*x + 16*x^2) + E^9*(-16*E*x + E^2*(-20 + 16*x)) + (24*x^2 + E*(-6*x - 48*x^2) + E^2*(10 + 6*x + 24*x^2) + E^9*(-24*E*x + E^2*(-10 + 24*x)))*Log[x] + (12*x^2 + E^9*(-12*E*x + 12*E^2*x) + E*(2*x - 24*x^2) + E^2*(-2*x + 12*x^2))*Log[x]^2 + (2*x^2 + E^9*(-2*E*x + 2*E^2*x) + E*(2*x - 4*x^2) + E^2*(-2*x + 2*x^2))*Log[x]^3)/(8*E^2*x + 12*E^2*x*Log[x] + 6*E^2*x*Log[x]^2 + E^2*x*Log[x]^3),x]","\frac{2 \left(\frac{1}{2} (e-1)^2 x^2+e \left(1-e-e^9+e^{10}\right) x+\frac{5 e \left(e (x-1)-x+e^{10}\right)}{\log (x)+2}+\frac{25 e^2}{2 (\log (x)+2)^2}\right)}{e^2}","\left(-\frac{x}{e}+x+\frac{5}{\log (x)+2}+e^9-1\right)^2",1,"(2*(E*(1 - E - E^9 + E^10)*x + ((-1 + E)^2*x^2)/2 + (25*E^2)/(2*(2 + Log[x])^2) + (5*E*(E^10 + E*(-1 + x) - x))/(2 + Log[x])))/E^2","B",1
6320,1,20,20,0.3927311,"\int \frac{-1+x+\left(2 e^{2+2 x}-4 e^{1+x} x+2 x^2\right) \log (-1+x)+\left(-2 x+2 x^2+e^{2+2 x} (-2+2 x)+e^{1+x} \left(2-2 x^2\right)\right) \log ^2(-1+x)}{-1+x} \, dx","Integrate[(-1 + x + (2*E^(2 + 2*x) - 4*E^(1 + x)*x + 2*x^2)*Log[-1 + x] + (-2*x + 2*x^2 + E^(2 + 2*x)*(-2 + 2*x) + E^(1 + x)*(2 - 2*x^2))*Log[-1 + x]^2)/(-1 + x),x]","x+\left(e^{x+1}-x\right)^2 \log ^2(x-1)","x+\left(x-e^{x+1}\right)^2 \log ^2(x-1)",1,"x + (E^(1 + x) - x)^2*Log[-1 + x]^2","A",1
6321,1,12,13,0.025954,"\int \frac{9-6 e+e^2+(5-2 e) e^x+e^{2 x}}{9-6 e+e^2+(6-2 e) e^x+e^{2 x}} \, dx","Integrate[(9 - 6*E + E^2 + (5 - 2*E)*E^x + E^(2*x))/(9 - 6*E + E^2 + (6 - 2*E)*E^x + E^(2*x)),x]","x+\frac{1}{e^x+3-e}","x+\frac{1}{e^x+3-e}+4",1,"(3 - E + E^x)^(-1) + x","A",1
6322,1,22,22,0.0664271,"\int e^{-x} \left(2+e^x+(2-2 x) \log \left(e^{12+2 e^2} x\right)\right) \, dx","Integrate[(2 + E^x + (2 - 2*x)*Log[E^(12 + 2*E^2)*x])/E^x,x]","x+2 e^{-x} \left(2 \left(6+e^2\right) x+x \log (x)\right)","x+2 e^{-x} x \log \left(e^{12+2 e^2} x\right)",1,"x + (2*(2*(6 + E^2)*x + x*Log[x]))/E^x","A",1
6323,1,42,28,0.2299356,"\int \frac{\exp \left(\frac{-2 x+2 x^4+e^x \left(-x+x^4\right)+\left(-x+x^4\right) \log (\log (5))}{35+7 x}\right) \left(175+60 x+7 x^2+40 x^4+6 x^5+e^x \left(-5 x-5 x^2-x^3+20 x^4+8 x^5+x^6\right)+\left(-5 x+20 x^4+3 x^5\right) \log (\log (5))\right)}{175+70 x+7 x^2} \, dx","Integrate[(E^((-2*x + 2*x^4 + E^x*(-x + x^4) + (-x + x^4)*Log[Log[5]])/(35 + 7*x))*(175 + 60*x + 7*x^2 + 40*x^4 + 6*x^5 + E^x*(-5*x - 5*x^2 - x^3 + 20*x^4 + 8*x^5 + x^6) + (-5*x + 20*x^4 + 3*x^5)*Log[Log[5]]))/(175 + 70*x + 7*x^2),x]","e^{\frac{\left(e^x+2\right) x \left(x^3-1\right)}{7 (x+5)}} x \log ^{\frac{x \left(x^3-1\right)}{7 (x+5)}}(5)","x \exp \left(\frac{\left(x^4-x\right) \left(e^x+2+\log (\log (5))\right)}{7 (x+5)}\right)",1,"E^(((2 + E^x)*x*(-1 + x^3))/(7*(5 + x)))*x*Log[5]^((x*(-1 + x^3))/(7*(5 + x)))","A",1
6324,1,25,25,0.1140048,"\int \frac{e^{1+5 e^x} \left(1+x-2 x^3+e^x \left(5 x^2+5 x^3+5 x^4\right)+\left(-1-2 x-3 x^2+e^x \left(5 x+5 x^2+5 x^3\right)\right) \log (x)\right)}{x^2+2 x^3+3 x^4+2 x^5+x^6} \, dx","Integrate[(E^(1 + 5*E^x)*(1 + x - 2*x^3 + E^x*(5*x^2 + 5*x^3 + 5*x^4) + (-1 - 2*x - 3*x^2 + E^x*(5*x + 5*x^2 + 5*x^3))*Log[x]))/(x^2 + 2*x^3 + 3*x^4 + 2*x^5 + x^6),x]","\frac{e^{5 e^x+1} (x+\log (x))}{x \left(x^2+x+1\right)}","\frac{e^{5 e^x+1} (x+\log (x))}{x \left(x^2+x+1\right)}",1,"(E^(1 + 5*E^x)*(x + Log[x]))/(x*(1 + x + x^2))","A",1
6325,1,42,30,0.0715371,"\int \frac{\exp \left(\frac{-x^3-x^4-2 x^5-x^6}{15 e^3-5 x+x^2+x^3+2 x^4+x^5}\right) \left(10 x^3+14 x^4+38 x^5+20 x^6-6 x^7-6 x^8-4 x^9-x^{10}+e^3 \left(-45 x^2-60 x^3-150 x^4-90 x^5\right)\right)}{225 e^6+25 x^2-10 x^3-9 x^4-18 x^5-5 x^6+6 x^7+6 x^8+4 x^9+x^{10}+e^3 \left(-150 x+30 x^2+30 x^3+60 x^4+30 x^5\right)} \, dx","Integrate[(E^((-x^3 - x^4 - 2*x^5 - x^6)/(15*E^3 - 5*x + x^2 + x^3 + 2*x^4 + x^5))*(10*x^3 + 14*x^4 + 38*x^5 + 20*x^6 - 6*x^7 - 6*x^8 - 4*x^9 - x^10 + E^3*(-45*x^2 - 60*x^3 - 150*x^4 - 90*x^5)))/(225*E^6 + 25*x^2 - 10*x^3 - 9*x^4 - 18*x^5 - 5*x^6 + 6*x^7 + 6*x^8 + 4*x^9 + x^10 + E^3*(-150*x + 30*x^2 + 30*x^3 + 60*x^4 + 30*x^5)),x]","\exp \left(-\frac{x^3 \left(x^3+2 x^2+x+1\right)}{x \left(x^4+2 x^3+x^2+x-5\right)+15 e^3}\right)","e^{\frac{x}{\frac{5-\frac{15 e^3}{x}}{\left(x^2+x\right)^2+x}-1}}",1,"E^(-((x^3*(1 + x + 2*x^2 + x^3))/(15*E^3 + x*(-5 + x + x^2 + 2*x^3 + x^4))))","A",1
6326,1,32,28,0.1079786,"\int \frac{-16-x-x^3+e \left(16 x^2+5 x^3\right)+x^3 \log (5)+\left(32+3 x-e x^3\right) \log (x)}{256 x^3+32 x^4+x^5} \, dx","Integrate[(-16 - x - x^3 + E*(16*x^2 + 5*x^3) + x^3*Log[5] + (32 + 3*x - E*x^3)*Log[x])/(256*x^3 + 32*x^4 + x^5),x]","\frac{\left(e x^2-1\right) \log (x)-x^2 (-1+4 e+\log (5))}{x^2 (x+16)}","\frac{-\frac{\log (x)}{x^2}-e (4-\log (x))+1-\log (5)}{x+16}",1,"(-(x^2*(-1 + 4*E + Log[5])) + (-1 + E*x^2)*Log[x])/(x^2*(16 + x))","A",1
6327,1,71,35,2.0239061,"\int \frac{\exp \left(\frac{e^{\frac{1}{4} (-3+x+16 \log (2))}+9 x-\log \left(\frac{x}{3}\right)}{3 x}\right) \left(-4+e^{\frac{1}{4} (-3+x+16 \log (2))} (-4+x)+4 \log \left(\frac{x}{3}\right)\right)}{4 x^2} \, dx","Integrate[(E^((E^((-3 + x + 16*Log[2])/4) + 9*x - Log[x/3])/(3*x))*(-4 + E^((-3 + x + 16*Log[2])/4)*(-4 + x) + 4*Log[x/3]))/(4*x^2),x]","\frac{1}{4} \int \frac{\left((x-4) e^{\frac{1}{4} (x-3+16 \log (2))}+4 \log \left(\frac{x}{3}\right)-4\right) \exp \left(\frac{9 x+e^{\frac{1}{4} (x-3+16 \log (2))}-\log \left(\frac{x}{3}\right)}{3 x}\right)}{x^2} \, dx","3 \left(e^{\frac{16 e^{\frac{x-3}{4}}-\log \left(\frac{x}{3}\right)}{3 x}+3}-4\right)",1,"Integrate[(E^((E^((-3 + x + 16*Log[2])/4) + 9*x - Log[x/3])/(3*x))*(-4 + E^((-3 + x + 16*Log[2])/4)*(-4 + x) + 4*Log[x/3]))/x^2, x]/4","F",1
6328,1,13,15,0.1391248,"\int \frac{e^{2 x+x^{\frac{1}{x}}} \left(x+2 x^2+x^{\frac{1}{x}} (1-\log (x))\right)}{x} \, dx","Integrate[(E^(2*x + x^x^(-1))*(x + 2*x^2 + x^x^(-1)*(1 - Log[x])))/x,x]","e^{x^{\frac{1}{x}}+2 x} x","e^{x^{\frac{1}{x}}+2 x} x+3",1,"E^(2*x + x^x^(-1))*x","A",1
6329,1,84,32,1.9220746,"\int \frac{\exp \left(\frac{6 x+(-2-x) \log \left(\frac{x}{-10+8 x^2}\right)}{12+6 x}\right) \left(20-40 x+21 x^2+64 x^3+4 x^4\right) \log (3)}{-120 x-120 x^2+66 x^3+96 x^4+24 x^5} \, dx","Integrate[(E^((6*x + (-2 - x)*Log[x/(-10 + 8*x^2)])/(12 + 6*x))*(20 - 40*x + 21*x^2 + 64*x^3 + 4*x^4)*Log[3])/(-120*x - 120*x^2 + 66*x^3 + 96*x^4 + 24*x^5),x]","\log (3) \left(\int \frac{\left(4 x^4+64 x^3+21 x^2-40 x+20\right) \exp \left(\frac{(-x-2) \log \left(\frac{x}{8 x^2-10}\right)+6 x}{6 x+12}\right)}{24 x^5+96 x^4+66 x^3-120 x^2-120 x} \, dx\right)","\frac{\sqrt[6]{2} e^{\frac{x}{x+2}} \log (3)}{\sqrt[6]{\frac{x}{4 x^2-5}}}",1,"Integrate[(E^((6*x + (-2 - x)*Log[x/(-10 + 8*x^2)])/(12 + 6*x))*(20 - 40*x + 21*x^2 + 64*x^3 + 4*x^4))/(-120*x - 120*x^2 + 66*x^3 + 96*x^4 + 24*x^5), x]*Log[3]","F",1
6330,1,31,24,0.4333246,"\int \frac{-96-24 x+\left(64+32 x+4 x^2\right) \log \left(\frac{1}{x}\right)+(-32-8 x) \log ^2\left(\frac{1}{x}\right)+\left(-64-32 x-4 x^2+(64+16 x) \log \left(\frac{1}{x}\right)\right) \log (x)+(-32-8 x) \log ^2(x)}{9 x^3+6 x^3 \log ^2\left(\frac{1}{x}\right)+x^3 \log ^4\left(\frac{1}{x}\right)+\left(-12 x^3 \log \left(\frac{1}{x}\right)-4 x^3 \log ^3\left(\frac{1}{x}\right)\right) \log (x)+\left(6 x^3+6 x^3 \log ^2\left(\frac{1}{x}\right)\right) \log ^2(x)-4 x^3 \log \left(\frac{1}{x}\right) \log ^3(x)+x^3 \log ^4(x)} \, dx","Integrate[(-96 - 24*x + (64 + 32*x + 4*x^2)*Log[x^(-1)] + (-32 - 8*x)*Log[x^(-1)]^2 + (-64 - 32*x - 4*x^2 + (64 + 16*x)*Log[x^(-1)])*Log[x] + (-32 - 8*x)*Log[x]^2)/(9*x^3 + 6*x^3*Log[x^(-1)]^2 + x^3*Log[x^(-1)]^4 + (-12*x^3*Log[x^(-1)] - 4*x^3*Log[x^(-1)]^3)*Log[x] + (6*x^3 + 6*x^3*Log[x^(-1)]^2)*Log[x]^2 - 4*x^3*Log[x^(-1)]*Log[x]^3 + x^3*Log[x]^4),x]","\frac{(x+4)^2}{x^2 \left(\log ^2\left(\frac{1}{x}\right)+\log ^2(x)-2 \log (x) \log \left(\frac{1}{x}\right)+3\right)}","\frac{(x+4)^2}{x^2 \left(\left(\log (x)-\log \left(\frac{1}{x}\right)\right)^2+3\right)}",1,"(4 + x)^2/(x^2*(3 + Log[x^(-1)]^2 - 2*Log[x^(-1)]*Log[x] + Log[x]^2))","A",1
6331,1,43,26,0.0880281,"\int \frac{-1-4 x-2 x^2+4 x^3+\left(-x-4 x^2-4 x^3\right) \log (x)+\left(-x+\left(-x-4 x^2-4 x^3\right) \log (x)\right) \log (2 x)}{x+4 x^2+4 x^3} \, dx","Integrate[(-1 - 4*x - 2*x^2 + 4*x^3 + (-x - 4*x^2 - 4*x^3)*Log[x] + (-x + (-x - 4*x^2 - 4*x^3)*Log[x])*Log[2*x])/(x + 4*x^2 + 4*x^3),x]","-\frac{(2 x+1) \log (x) (2 x \log (2 x)+3)-\left(4 x^2+2 x+1\right) \log (2 x)}{4 x+2}","2-\left(\frac{x}{2 x+1}-x+x \log (x)+1\right) \log (2 x)",1,"-((-((1 + 2*x + 4*x^2)*Log[2*x]) + (1 + 2*x)*Log[x]*(3 + 2*x*Log[2*x]))/(2 + 4*x))","A",1
6332,0,0,26,0.23647,"\int \frac{e^{\frac{1}{25} \left(125+x+\log \left(-14 x+2 x^2\right)\right)} \left(-7-5 x+x^2\right)}{-175 x+25 x^2} \, dx","Integrate[(E^((125 + x + Log[-14*x + 2*x^2])/25)*(-7 - 5*x + x^2))/(-175*x + 25*x^2),x]","\int \frac{e^{\frac{1}{25} \left(125+x+\log \left(-14 x+2 x^2\right)\right)} \left(-7-5 x+x^2\right)}{-175 x+25 x^2} \, dx","\exp \left(\frac{1}{25} (x+\log (2 ((x-5) x-2 x)))+5\right)+\log (\log (5))",1,"Integrate[(E^((125 + x + Log[-14*x + 2*x^2])/25)*(-7 - 5*x + x^2))/(-175*x + 25*x^2), x]","F",-1
6333,1,25,28,0.0068225,"\int \frac{-153-5 x^2+48 \log (4)-4 \log ^2(4)}{3 x^2} \, dx","Integrate[(-153 - 5*x^2 + 48*Log[4] - 4*Log[4]^2)/(3*x^2),x]","\frac{1}{3} \left(-5 x-\frac{-153-4 \log ^2(4)+48 \log (4)}{x}\right)","\frac{3 \left(-x^2+\left(\frac{2}{3} (\log (4)-x)-4\right)^2+1\right)}{x}+2",1,"(-5*x - (-153 + 48*Log[4] - 4*Log[4]^2)/x)/3","A",1
6334,1,5,11,0.000285,"\int -\frac{50}{x^3} \, dx","Integrate[-50/x^3,x]","\frac{25}{x^2}","\frac{25}{x^2}-e^e",1,"25/x^2","A",1
6335,1,31,36,0.0132959,"\int -\frac{e^{-4+x}}{-e^3+\log ^2(3) \left(i \pi +\log \left(3-\log \left(\frac{2}{\log (4)}\right)\right)\right)} \, dx","Integrate[-(E^(-4 + x)/(-E^3 + Log[3]^2*(I*Pi + Log[3 - Log[2/Log[4]]]))),x]","\frac{e^{x-4}}{e^3+\log ^2(3) (-\log (3+\log (\log (2)))-i \pi )}","\frac{e^{x-4}}{e^3-\log ^2(3) \left(\log \left(3-\log \left(\frac{2}{\log (4)}\right)\right)+i \pi \right)}",1,"E^(-4 + x)/(E^3 + Log[3]^2*((-I)*Pi - Log[3 + Log[Log[2]]]))","A",1
6336,1,18,20,0.0097137,"\int \frac{-1+e^x x-16 x^4-6 x^6}{x} \, dx","Integrate[(-1 + E^x*x - 16*x^4 - 6*x^6)/x,x]","-x^6-4 x^4+e^x-\log (x)","-\left(\left(x^2+4\right) x^4\right)+e^x+\log \left(\frac{3}{x}\right)",1,"E^x - 4*x^4 - x^6 - Log[x]","A",1
6337,1,24,22,0.0543582,"\int \frac{300+600 x+175 x^2-10 x^3+e^x \left(-60-60 x-18 x^2+x^3\right)+\left(-300-85 x+5 x^2+e^x \left(60+17 x-x^2\right)\right) \log \left(-300-85 x+5 x^2+e^x \left(60+17 x-x^2\right)\right)}{300+85 x-5 x^2+e^x \left(-60-17 x+x^2\right)} \, dx","Integrate[(300 + 600*x + 175*x^2 - 10*x^3 + E^x*(-60 - 60*x - 18*x^2 + x^3) + (-300 - 85*x + 5*x^2 + E^x*(60 + 17*x - x^2))*Log[-300 - 85*x + 5*x^2 + E^x*(60 + 17*x - x^2)])/(300 + 85*x - 5*x^2 + E^x*(-60 - 17*x + x^2)),x]","x^2-x \log \left(-\left(\left(e^x-5\right) \left(x^2-17 x-60\right)\right)\right)+x","x \left(x-\log \left(\left(e^x-5\right) (20-x) (x+3)\right)+1\right)",1,"x + x^2 - x*Log[-((-5 + E^x)*(-60 - 17*x + x^2))]","A",1
6338,1,45,33,0.2027646,"\int \frac{-6 x+e^x (12+3 \log (3))+e^{2 e^{-x}+x} \left(24-2 x^2+\left(6-x^2\right) \log (3)\right)+\left(-3 e^x+e^{2 e^{-x}+x} \left(-6+x^2\right)\right) \log \left(-\frac{e^{2 e^{-x}} x}{-3+e^{2 e^{-x}} \left(-6+x^2\right)}\right)}{-3 e^x x^2+e^{2 e^{-x}+x} \left(-6 x^2+x^4\right)} \, dx","Integrate[(-6*x + E^x*(12 + 3*Log[3]) + E^(2/E^x + x)*(24 - 2*x^2 + (6 - x^2)*Log[3]) + (-3*E^x + E^(2/E^x + x)*(-6 + x^2))*Log[-((E^(2/E^x)*x)/(-3 + E^(2/E^x)*(-6 + x^2)))])/(-3*E^x*x^2 + E^(2/E^x + x)*(-6*x^2 + x^4)),x]","\frac{-6 \log \left(-\frac{e^{2 e^{-x}} x}{e^{2 e^{-x}} \left(x^2-6\right)-3}\right)+18+\log (729)}{6 x}","\frac{-\log \left(\frac{x}{-x^2+3 e^{-2 e^{-x}}+6}\right)+3+\log (3)}{x}",1,"(18 + Log[729] - 6*Log[-((E^(2/E^x)*x)/(-3 + E^(2/E^x)*(-6 + x^2)))])/(6*x)","A",1
6339,1,32,23,0.0355349,"\int \frac{-11664 x^5-1296 x^6 \log ^2\left(2+x^4\right)+\left(324 x^2+162 x^6\right) \log ^3\left(2+x^4\right)+\left(90+36 x^3+45 x^4+18 x^7\right) \log ^5\left(2+x^4\right)}{\left(2 x^2+x^6\right) \log ^5\left(2+x^4\right)} \, dx","Integrate[(-11664*x^5 - 1296*x^6*Log[2 + x^4]^2 + (324*x^2 + 162*x^6)*Log[2 + x^4]^3 + (90 + 36*x^3 + 45*x^4 + 18*x^7)*Log[2 + x^4]^5)/((2*x^2 + x^6)*Log[2 + x^4]^5),x]","9 \left(\frac{81}{\log ^4\left(x^4+2\right)}+\frac{18 x}{\log ^2\left(x^4+2\right)}+x^2-\frac{5}{x}\right)","9 \left(\left(\frac{9}{\log ^2\left(x^4+2\right)}+x\right)^2-\frac{5}{x}+16\right)",1,"9*(-5/x + x^2 + 81/Log[2 + x^4]^4 + (18*x)/Log[2 + x^4]^2)","A",1
6340,1,32,21,0.0195521,"\int \frac{6-18 x+18 x^2-6 x^3+e^4 \left(-15 x^2+5 x^3\right)}{-5+15 x-15 x^2+5 x^3} \, dx","Integrate[(6 - 18*x + 18*x^2 - 6*x^3 + E^4*(-15*x^2 + 5*x^3))/(-5 + 15*x - 15*x^2 + 5*x^3),x]","\frac{1}{5} \left(\frac{5 e^4 \left(x^3-3 x^2+6 x-3\right)}{(x-1)^2}-6 x+6\right)","\frac{e^4 x^3}{(1-x)^2}-\frac{6 x}{5}+4",1,"(6 - 6*x + (5*E^4*(-3 + 6*x - 3*x^2 + x^3))/(-1 + x)^2)/5","A",1
6341,1,28,29,0.0422588,"\int \frac{150+50 \log \left(x^3\right)+\left(x^3-e^2 x^3-2 x^4+x^3 \log (2)\right) \log ^3\left(x^3\right)}{x^3 \log ^3\left(x^3\right)} \, dx","Integrate[(150 + 50*Log[x^3] + (x^3 - E^2*x^3 - 2*x^4 + x^3*Log[2])*Log[x^3]^3)/(x^3*Log[x^3]^3),x]","-x^2-\frac{25}{x^2 \log ^2\left(x^3\right)}-e^2 x+x+x \log (2)","-\frac{25}{x^2 \log ^2\left(x^3\right)}+(x+1) \left(-x-e^2+2+\log (2)\right)+2",1,"x - E^2*x - x^2 + x*Log[2] - 25/(x^2*Log[x^3]^2)","A",1
6342,1,27,29,0.0559012,"\int \frac{-16+8 x-32 e^{4 x} x-4 \log \left(e^{2 e^{4 x}-2 x} x\right)}{4+12 x+9 x^2+\left(4 x+6 x^2\right) \log \left(e^{2 e^{4 x}-2 x} x\right)+x^2 \log ^2\left(e^{2 e^{4 x}-2 x} x\right)} \, dx","Integrate[(-16 + 8*x - 32*E^(4*x)*x - 4*Log[E^(2*E^(4*x) - 2*x)*x])/(4 + 12*x + 9*x^2 + (4*x + 6*x^2)*Log[E^(2*E^(4*x) - 2*x)*x] + x^2*Log[E^(2*E^(4*x) - 2*x)*x]^2),x]","\frac{4}{3 x+x \log \left(e^{2 e^{4 x}-2 x} x\right)+2}","\frac{4}{-x+x \left(\log \left(e^{2 e^{4 x}-2 x} x\right)+4\right)+2}",1,"4/(2 + 3*x + x*Log[E^(2*E^(4*x) - 2*x)*x])","A",1
6343,1,25,26,0.5259447,"\int \frac{-4 e x^2+16 x^3+4 x^4+e^{1+x} \left(-48 x^2+16 x^3\right)+12 e x^2 \log (x)}{16 e^{2+2 x}+4 x^2+4 x^3+x^4+e^{1+x} \left(-16 x-8 x^2\right)+\left(-8 e^{2+x}+e \left(4 x+2 x^2\right)\right) \log (x)+e^2 \log ^2(x)} \, dx","Integrate[(-4*E*x^2 + 16*x^3 + 4*x^4 + E^(1 + x)*(-48*x^2 + 16*x^3) + 12*E*x^2*Log[x])/(16*E^(2 + 2*x) + 4*x^2 + 4*x^3 + x^4 + E^(1 + x)*(-16*x - 8*x^2) + (-8*E^(2 + x) + E*(4*x + 2*x^2))*Log[x] + E^2*Log[x]^2),x]","\frac{4 x^3}{x^2+2 x-4 e^{x+1}+e \log (x)}","\frac{4 x^2}{x \left(\frac{e \left(\log (x)-4 e^x\right)}{x^2}+1\right)+2}",1,"(4*x^3)/(-4*E^(1 + x) + 2*x + x^2 + E*Log[x])","A",1
6344,1,35,31,0.0870081,"\int \frac{-20-101 x^2-24 x^3+24 x^4+6 x^5+e^x \left(96 x+24 x^2-24 x^3-6 x^4\right)+\left(144 x^2+48 x^3+36 x^4+12 x^5+e^x \left(-96 x-84 x^2-36 x^3-21 x^4-3 x^5\right)\right) \log \left(\frac{16+8 x^2+x^4}{x^2}\right)}{20+5 x^2} \, dx","Integrate[(-20 - 101*x^2 - 24*x^3 + 24*x^4 + 6*x^5 + E^x*(96*x + 24*x^2 - 24*x^3 - 6*x^4) + (144*x^2 + 48*x^3 + 36*x^4 + 12*x^5 + E^x*(-96*x - 84*x^2 - 36*x^3 - 21*x^4 - 3*x^5))*Log[(16 + 8*x^2 + x^4)/x^2])/(20 + 5*x^2),x]","\frac{1}{5} \left(3 x^2 (x+4) \left(x-e^x\right) \log \left(\frac{\left(x^2+4\right)^2}{x^2}\right)-5 x\right)","\frac{3}{5} x^2 (x+4) \left(x-e^x\right) \log \left(\left(x+\frac{4}{x}\right)^2\right)-x",1,"(-5*x + 3*x^2*(4 + x)*(-E^x + x)*Log[(4 + x^2)^2/x^2])/5","A",1
6345,1,29,26,0.0692493,"\int \frac{48 x^2+12 x^3+e^{-1+x} \left(-12 x^2+8 x^3\right)+e^x \left(-64+e^{-3+3 x}+e^{-2+2 x} (-12-9 x)-144 x-108 x^2-27 x^3+e^{-1+x} \left(48+72 x+27 x^2\right)\right)}{-256+4 e^{-3+3 x}+e^{-2+2 x} (-48-36 x)-576 x-432 x^2-108 x^3+e^{-1+x} \left(192+288 x+108 x^2\right)} \, dx","Integrate[(48*x^2 + 12*x^3 + E^(-1 + x)*(-12*x^2 + 8*x^3) + E^x*(-64 + E^(-3 + 3*x) + E^(-2 + 2*x)*(-12 - 9*x) - 144*x - 108*x^2 - 27*x^3 + E^(-1 + x)*(48 + 72*x + 27*x^2)))/(-256 + 4*E^(-3 + 3*x) + E^(-2 + 2*x)*(-48 - 36*x) - 576*x - 432*x^2 - 108*x^3 + E^(-1 + x)*(192 + 288*x + 108*x^2)),x]","\frac{1}{4} \left(e^x-\frac{4 e^2 x^3}{\left(-3 e x+e^x-4 e\right)^2}\right)","-\frac{x^3}{\left(-3 x+e^{x-1}-4\right)^2}+\frac{e^x}{4}+3",1,"(E^x - (4*E^2*x^3)/(-4*E + E^x - 3*E*x)^2)/4","A",1
6346,1,29,26,0.3742257,"\int \frac{100 e^{x/2}+e^{x/4} (100+25 x)+\left(32 e^{x/4}+32 e^{x/2}\right) \log \left(x^4\right)+\left(4 e^{x/2}+e^{x/4} (4+x)\right) \log ^2\left(x^4\right)}{1+2 e^{x/4}+e^{x/2}} \, dx","Integrate[(100*E^(x/2) + E^(x/4)*(100 + 25*x) + (32*E^(x/4) + 32*E^(x/2))*Log[x^4] + (4*E^(x/2) + E^(x/4)*(4 + x))*Log[x^4]^2)/(1 + 2*E^(x/4) + E^(x/2)),x]","\frac{4 e^{x/4} x \left(\log ^2\left(x^4\right)+25\right)}{e^{x/4}+1}","4 \left(x-\frac{x}{e^{x/4}+1}\right) \left(\log ^2\left(x^4\right)+25\right)",1,"(4*E^(x/4)*x*(25 + Log[x^4]^2))/(1 + E^(x/4))","A",1
6347,1,13,13,0.0941801,"\int \frac{e^{2 x} (4+x)+\left(e^{2 x} (5+x)+e^x (25+5 x)\right) \log \left(5+e^x\right)}{5+e^x} \, dx","Integrate[(E^(2*x)*(4 + x) + (E^(2*x)*(5 + x) + E^x*(25 + 5*x))*Log[5 + E^x])/(5 + E^x),x]","e^x (x+4) \log \left(e^x+5\right)","e^x (x+4) \log \left(e^x+5\right)",1,"E^x*(4 + x)*Log[5 + E^x]","A",1
6348,1,16,21,0.0674888,"\int \frac{4-5 \log (4 x)}{x+5 x \log (4 x)} \, dx","Integrate[(4 - 5*Log[4*x])/(x + 5*x*Log[4*x]),x]","\log (5 \log (4 x)+1)-\log (4 x)","\log \left(\frac{x-\frac{5}{9} x (\log (4 x)+2)}{3 x^2}\right)",1,"-Log[4*x] + Log[1 + 5*Log[4*x]]","A",1
6349,1,30,23,0.0071597,"\int \left(12-2 e^{2 x}-2 x+2 e^x x\right) \, dx","Integrate[12 - 2*E^(2*x) - 2*x + 2*E^x*x,x]","-2 \left(\frac{x^2}{2}-6 x+\frac{e^{2 x}}{2}-e^x (x-1)\right)","-\left(x-e^x-1\right)^2+10 x-4+\log (3)-2 \log (2)",1,"-2*(E^(2*x)/2 - E^x*(-1 + x) - 6*x + x^2/2)","A",1
6350,1,30,24,0.0123784,"\int \frac{1}{5} \left(e^8+e^{4+x} (-2-2 x)-2 x+e^{2 x} (1+2 x)\right) \, dx","Integrate[(E^8 + E^(4 + x)*(-2 - 2*x) - 2*x + E^(2*x)*(1 + 2*x))/5,x]","\frac{1}{5} \left(-x^2+e^{2 x} x-2 e^{x+4} x+e^8 x\right)","\frac{1}{5} \left(5-x \left(x-\left(e^4-e^x\right)^2\right)\right)",1,"(E^8*x + E^(2*x)*x - 2*E^(4 + x)*x - x^2)/5","A",1
6351,1,8,11,0.0006754,"\int \frac{-1-2 x}{x} \, dx","Integrate[(-1 - 2*x)/x,x]","-2 x-\log (x)","-2 x+\log \left(\frac{4}{x}\right)-4",1,"-2*x - Log[x]","A",1
6352,1,10,19,0.0000635,"\int 12 \log \left(\log \left(4+e^5\right)\right) \, dx","Integrate[12*Log[Log[4 + E^5]],x]","12 x \log \left(\log \left(4+e^5\right)\right)","3 \left(4 x \log \left(\log \left(4+e^5\right)\right)+4 e^5+3\right)",1,"12*x*Log[Log[4 + E^5]]","A",1
6353,1,23,23,0.0447976,"\int \frac{1}{4} e^{\frac{1}{4} \left(24-4 e^{6-x}-4 e^x-x\right)} \left(-1+4 e^{6-x}-4 e^x\right) \, dx","Integrate[(E^((24 - 4*E^(6 - x) - 4*E^x - x)/4)*(-1 + 4*E^(6 - x) - 4*E^x))/4,x]","e^{-\frac{x}{4}-e^{6-x}-e^x+6}","e^{-\frac{x}{4}-e^{6-x}-e^x+6}",1,"E^(6 - E^(6 - x) - E^x - x/4)","A",1
6354,1,6,13,0.0009979,"\int \frac{15+x}{x} \, dx","Integrate[(15 + x)/x,x]","x+15 \log (x)","5 \log \left(x^2\right)+x+5 \log (x)+2",1,"x + 15*Log[x]","A",1
6355,1,34,33,0.2323651,"\int \frac{e^{-\frac{e^x (-5-x)}{-3-x+\log ^2(2)}} \left(27+18 x+3 x^2+(-18-6 x) \log ^2(2)+3 \log ^4(2)+e^x \left(-78-87 x-30 x^2-3 x^3+\left(36+24 x+3 x^2\right) \log ^2(2)\right)+e^{\frac{e^x (-5-x)}{-3-x+\log ^2(2)}} \left(9-12 x-11 x^2-2 x^3+\left(-6+10 x+4 x^2\right) \log ^2(2)+(1-2 x) \log ^4(2)\right)\right)}{9+6 x+x^2+(-6-2 x) \log ^2(2)+\log ^4(2)} \, dx","Integrate[(27 + 18*x + 3*x^2 + (-18 - 6*x)*Log[2]^2 + 3*Log[2]^4 + E^x*(-78 - 87*x - 30*x^2 - 3*x^3 + (36 + 24*x + 3*x^2)*Log[2]^2) + E^((E^x*(-5 - x))/(-3 - x + Log[2]^2))*(9 - 12*x - 11*x^2 - 2*x^3 + (-6 + 10*x + 4*x^2)*Log[2]^2 + (1 - 2*x)*Log[2]^4))/(E^((E^x*(-5 - x))/(-3 - x + Log[2]^2))*(9 + 6*x + x^2 + (-6 - 2*x)*Log[2]^2 + Log[2]^4)),x]","-x^2+x+(3 x+6) e^{-\frac{e^x (x+5)}{x+3-\log ^2(2)}}","-x^2+x+3 (x+2) e^{-\frac{e^x (x+5)}{x+3-\log ^2(2)}}",1,"x - x^2 + (6 + 3*x)/E^((E^x*(5 + x))/(3 + x - Log[2]^2))","A",1
6356,1,16,22,0.0365032,"\int \frac{1}{27} e^{\frac{1}{27} \left(5 x^3+x^5\right)} \left(-15 x^2-5 x^4\right) \, dx","Integrate[(E^((5*x^3 + x^5)/27)*(-15*x^2 - 5*x^4))/27,x]","-e^{\frac{1}{27} x^3 \left(x^2+5\right)}","-e^{\frac{1}{27} x^3 \left(x^2+5\right)}+7-\log (2)",1,"-E^((x^3*(5 + x^2))/27)","A",1
6357,1,22,16,0.0235891,"\int \frac{e^x x^3+(-15-3 x) \log ^2(x)+(10+x) \log ^3(x)}{x^3} \, dx","Integrate[(E^x*x^3 + (-15 - 3*x)*Log[x]^2 + (10 + x)*Log[x]^3)/x^3,x]","-\frac{5 \log ^3(x)}{x^2}+e^x-\frac{\log ^3(x)}{x}","e^x-\frac{(x+5) \log ^3(x)}{x^2}",1,"E^x - (5*Log[x]^3)/x^2 - Log[x]^3/x","A",1
6358,1,51,33,0.0102235,"\int \frac{-9 e^{10}+6 x-13 x^2+3 x^4+e^5 (-6+12 x)+\left(6+18 e^5-12 x\right) \log (x)-9 \log ^2(x)}{x^4} \, dx","Integrate[(-9*E^10 + 6*x - 13*x^2 + 3*x^4 + E^5*(-6 + 12*x) + (6 + 18*E^5 - 12*x)*Log[x] - 9*Log[x]^2)/x^4,x]","\frac{3 e^{10}}{x^3}+\frac{3 \log ^2(x)}{x^3}-\frac{6 e^5 \log (x)}{x^3}-\frac{6 e^5}{x^2}+\frac{6 \log (x)}{x^2}+3 x+\frac{13}{x}","\frac{3 \left(\frac{\left(-x-\log (x)+e^5\right)^2}{x^2}+x+x (x+5)+2\right)+4}{x}",1,"(3*E^10)/x^3 - (6*E^5)/x^2 + 13/x + 3*x - (6*E^5*Log[x])/x^3 + (6*Log[x])/x^2 + (3*Log[x]^2)/x^3","A",1
6359,1,33,19,0.0758858,"\int \frac{45-4 x-30 x^2+5 x^4+e^{2+x} \left(18-12 x^2+2 x^4\right)}{18-12 x^2+2 x^4} \, dx","Integrate[(45 - 4*x - 30*x^2 + 5*x^4 + E^(2 + x)*(18 - 12*x^2 + 2*x^4))/(18 - 12*x^2 + 2*x^4),x]","\frac{5 x^3+2 e^{x+2} \left(x^2-3\right)-15 x+2}{2 \left(x^2-3\right)}","\frac{1}{x^2-3}+\frac{5 x}{2}+e^{x+2}-7",1,"(2 - 15*x + 5*x^3 + 2*E^(2 + x)*(-3 + x^2))/(2*(-3 + x^2))","A",1
6360,1,21,25,0.1251781,"\int \frac{5634+1171875 e^4+22500 x+14062500 x^2+e^4 (1175625+4687500 x) \log \left(\frac{1}{x}\right)+390625 e^8 \log ^2\left(\frac{1}{x}\right)}{9+22500 x+14062500 x^2+e^4 (3750+4687500 x) \log \left(\frac{1}{x}\right)+390625 e^8 \log ^2\left(\frac{1}{x}\right)} \, dx","Integrate[(5634 + 1171875*E^4 + 22500*x + 14062500*x^2 + E^4*(1175625 + 4687500*x)*Log[x^(-1)] + 390625*E^8*Log[x^(-1)]^2)/(9 + 22500*x + 14062500*x^2 + E^4*(3750 + 4687500*x)*Log[x^(-1)] + 390625*E^8*Log[x^(-1)]^2),x]","x+\frac{1875 x}{3750 x+625 e^4 \log \left(\frac{1}{x}\right)+3}","x+\frac{x}{2 x+\frac{1}{3} e^4 \log \left(\frac{1}{x}\right)+\frac{1}{625}}-1",1,"x + (1875*x)/(3 + 3750*x + 625*E^4*Log[x^(-1)])","A",1
6361,1,40,16,0.0162998,"\int \frac{20+35 x+15 x^2+(-20-15 x) \log (2)+\left(35 x+30 x^2-15 x \log (2)\right) \log (x)}{x} \, dx","Integrate[(20 + 35*x + 15*x^2 + (-20 - 15*x)*Log[2] + (35*x + 30*x^2 - 15*x*Log[2])*Log[x])/x,x]","15 x^2 \log (x)-5 x \log (8) \log (x)+35 x \log (x)+5 x \log (8)-15 x \log (2)-20 \log (2) \log (x)+20 \log (x)","5 (3 x+4) (x+1-\log (2)) \log (x)",1,"-15*x*Log[2] + 5*x*Log[8] + 20*Log[x] + 35*x*Log[x] + 15*x^2*Log[x] - 20*Log[2]*Log[x] - 5*x*Log[8]*Log[x]","B",1
6362,0,0,26,0.7576147,"\int \frac{-x-x^2+\left(x^2+x^3\right) \log (x)+e^{-2 x} \log ^2(4) (-1+x \log (x))+e^{-x} \log (4) \left(-1-2 x+\left(x+2 x^2\right) \log (x)\right)+\left(2 x^2 \log (x)+e^{-x} (2+6 x) \log (4) \log (x)+2 e^{-2 x} \log ^2(4) \log (x)\right) \log \left(\frac{x+x^2+e^{-x} x \log (4)}{x+e^{-x} \log (4)}\right)}{\left(x^2+x^3\right) \log (x)+e^{-x} \left(x+2 x^2\right) \log (4) \log (x)+e^{-2 x} x \log ^2(4) \log (x)} \, dx","Integrate[(-x - x^2 + (x^2 + x^3)*Log[x] + (Log[4]^2*(-1 + x*Log[x]))/E^(2*x) + (Log[4]*(-1 - 2*x + (x + 2*x^2)*Log[x]))/E^x + (2*x^2*Log[x] + ((2 + 6*x)*Log[4]*Log[x])/E^x + (2*Log[4]^2*Log[x])/E^(2*x))*Log[(x + x^2 + (x*Log[4])/E^x)/(x + Log[4]/E^x)])/((x^2 + x^3)*Log[x] + ((x + 2*x^2)*Log[4]*Log[x])/E^x + (x*Log[4]^2*Log[x])/E^(2*x)),x]","\int \frac{-x-x^2+\left(x^2+x^3\right) \log (x)+e^{-2 x} \log ^2(4) (-1+x \log (x))+e^{-x} \log (4) \left(-1-2 x+\left(x+2 x^2\right) \log (x)\right)+\left(2 x^2 \log (x)+e^{-x} (2+6 x) \log (4) \log (x)+2 e^{-2 x} \log ^2(4) \log (x)\right) \log \left(\frac{x+x^2+e^{-x} x \log (4)}{x+e^{-x} \log (4)}\right)}{\left(x^2+x^3\right) \log (x)+e^{-x} \left(x+2 x^2\right) \log (4) \log (x)+e^{-2 x} x \log ^2(4) \log (x)} \, dx","x+\log ^2\left(x+\frac{x}{x+e^{-x} \log (4)}\right)-\log (\log (x))",1,"Integrate[(-x - x^2 + (x^2 + x^3)*Log[x] + (Log[4]^2*(-1 + x*Log[x]))/E^(2*x) + (Log[4]*(-1 - 2*x + (x + 2*x^2)*Log[x]))/E^x + (2*x^2*Log[x] + ((2 + 6*x)*Log[4]*Log[x])/E^x + (2*Log[4]^2*Log[x])/E^(2*x))*Log[(x + x^2 + (x*Log[4])/E^x)/(x + Log[4]/E^x)])/((x^2 + x^3)*Log[x] + ((x + 2*x^2)*Log[4]*Log[x])/E^x + (x*Log[4]^2*Log[x])/E^(2*x)), x]","F",-1
6363,1,22,18,0.0277765,"\int \frac{144 x+\left(144 x+\log ^2(2)\right) \log (x)+\left(144 x+\log ^2(2)\right) \log \left(\frac{144 x^2+x \log ^2(2)}{\log ^2(2)}\right)}{144 x+\log ^2(2)} \, dx","Integrate[(144*x + (144*x + Log[2]^2)*Log[x] + (144*x + Log[2]^2)*Log[(144*x^2 + x*Log[2]^2)/Log[2]^2])/(144*x + Log[2]^2),x]","x \log \left(\frac{144 x^2}{\log ^2(2)}+x\right)-2 x+x \log (x)","x \left(\log \left(\frac{144 x^2}{\log ^2(2)}+x\right)+\log (x)-2\right)",1,"-2*x + x*Log[x] + x*Log[x + (144*x^2)/Log[2]^2]","A",1
6364,1,51,22,0.0538374,"\int \frac{25+10 x+\left(2+5\ 2^{2/5}+10 x\right) \log \left(\frac{1}{5} \left(2+5\ 2^{2/5}+10 x\right)\right)}{2+5\ 2^{2/5}+10 x} \, dx","Integrate[(25 + 10*x + (2 + 5*2^(2/5) + 10*x)*Log[(2 + 5*2^(2/5) + 10*x)/5])/(2 + 5*2^(2/5) + 10*x),x]","\frac{1}{10} \left(x (-\log (9765625))+5 (2 x+5) \log \left(10 x+5\ 2^{2/5}+2\right)+5\ 2^{2/5}+2-2^{2/5} \log (3125)-\log (25)\right)","\frac{1}{2} (2 x+5) \log \left(2 x+2^{2/5}+\frac{2}{5}\right)",1,"(2 + 5*2^(2/5) - Log[25] - 2^(2/5)*Log[3125] - x*Log[9765625] + 5*(5 + 2*x)*Log[2 + 5*2^(2/5) + 10*x])/10","B",1
6365,1,36,28,0.9687234,"\int \frac{e^{-2 x} \left(2 e^{8 x}+\left(-8 e^{5 x}-6 e^{8 x} x\right) \log \left(\frac{x}{3}\right)+24 e^{5 x} x \log ^2\left(\frac{x}{3}\right)+e^{1+3 x} x \log ^3\left(\frac{x}{3}\right)\right)}{x \log ^3\left(\frac{x}{3}\right)} \, dx","Integrate[(2*E^(8*x) + (-8*E^(5*x) - 6*E^(8*x)*x)*Log[x/3] + 24*E^(5*x)*x*Log[x/3]^2 + E^(1 + 3*x)*x*Log[x/3]^3)/(E^(2*x)*x*Log[x/3]^3),x]","e^{x+1}-\frac{e^{6 x}}{\log ^2\left(\frac{x}{3}\right)}+\frac{8 e^{3 x}}{\log \left(\frac{x}{3}\right)}","e^{x+1}-\left(4-\frac{e^{3 x}}{\log \left(\frac{x}{3}\right)}\right)^2-1",1,"E^(1 + x) - E^(6*x)/Log[x/3]^2 + (8*E^(3*x))/Log[x/3]","A",1
6366,1,21,22,0.0102438,"\int \frac{1-x^2-e^{1+x} x^2+25 x^6}{x^2} \, dx","Integrate[(1 - x^2 - E^(1 + x)*x^2 + 25*x^6)/x^2,x]","5 x^5-x-e^{x+1}-\frac{1}{x}","5 x^5-x-e^{x+1}-\frac{1}{x}-12",1,"-E^(1 + x) - x^(-1) - x + 5*x^5","A",1
6367,1,11,12,0.0126141,"\int \left(1+e^x (3+x) \log (5)\right) \, dx","Integrate[1 + E^x*(3 + x)*Log[5],x]","x+e^x (x+2) \log (5)","x+e^x (x+2) \log (5)-3",1,"x + E^x*(2 + x)*Log[5]","A",1
6368,1,33,32,1.6430984,"\int \frac{-75-150 e^{2 x}-150 x^2+e^{2 x/3} (-15+10 x)+e^x \left(75+5 e^{2 x/3}+300 x\right)}{100+4 e^{4 x/3}-400 x^2+400 e^{2 x} x^2+400 x^4+e^{2 x/3} \left(40-80 x^2\right)+e^x \left(400 x+80 e^{2 x/3} x-800 x^3\right)} \, dx","Integrate[(-75 - 150*E^(2*x) - 150*x^2 + E^((2*x)/3)*(-15 + 10*x) + E^x*(75 + 5*E^((2*x)/3) + 300*x))/(100 + 4*E^((4*x)/3) - 400*x^2 + 400*E^(2*x)*x^2 + 400*x^4 + E^((2*x)/3)*(40 - 80*x^2) + E^x*(400*x + 80*E^((2*x)/3)*x - 800*x^3)),x]","\frac{15 \left(e^x-x\right)}{4 \left(-10 x^2+10 e^x x+e^{2 x/3}+5\right)}","\frac{3}{4 \left(\frac{e^{2 x/3}+5}{5 \left(e^x-x\right)}+2 x\right)}",1,"(15*(E^x - x))/(4*(5 + E^((2*x)/3) + 10*E^x*x - 10*x^2))","A",1
6369,1,23,30,0.9870837,"\int \frac{e^{\frac{-e^{x^2} x+e^x \left(-5+x+x^4\right)}{x}} \left(-2 e^{x^2} x^3+e^x \left(5-5 x+x^2+3 x^4+x^5\right)\right)}{x^2} \, dx","Integrate[(E^((-(E^x^2*x) + E^x*(-5 + x + x^4))/x)*(-2*E^x^2*x^3 + E^x*(5 - 5*x + x^2 + 3*x^4 + x^5)))/x^2,x]","e^{\frac{e^x \left(x^4+x-5\right)}{x}-e^{x^2}}","e^{\frac{e^x \left(x^4-e^{x^2-x} x-5\right)}{x}+e^x}",1,"E^(-E^x^2 + (E^x*(-5 + x + x^4))/x)","A",1
6370,1,20,22,0.4798918,"\int \frac{144+e^{e^{2 x}} \left(-4+\left(4-8 e^{2 x} x\right) \log (x)\right)}{1296-288 x+16 x^2+e^{e^{2 x}} (72-8 x) \log (x)+e^{2 e^{2 x}} \log ^2(x)} \, dx","Integrate[(144 + E^E^(2*x)*(-4 + (4 - 8*E^(2*x)*x)*Log[x]))/(1296 - 288*x + 16*x^2 + E^E^(2*x)*(72 - 8*x)*Log[x] + E^(2*E^(2*x))*Log[x]^2),x]","\frac{4 x}{-4 x+e^{e^{2 x}} \log (x)+36}","\frac{x}{-x+\frac{1}{4} e^{e^{2 x}} \log (x)+9}",1,"(4*x)/(36 - 4*x + E^E^(2*x)*Log[x])","A",1
6371,1,12,17,0.0000767,"\int (-1+e+32 x) \, dx","Integrate[-1 + E + 32*x,x]","16 x^2+e x-x","-4 \left(6-4 x^2\right)+e x-x+2",1,"-x + E*x + 16*x^2","A",1
6372,1,30,29,0.2753549,"\int \frac{-5 e^{10 x}-5 x^2+18 x^3-4 x^4-5 x^6+e^{5 x} \left(9-32 x-15 x^2+10 x^3\right)}{15 x^2+5 x^3+30 x^4+10 x^5+15 x^6+5 x^7+e^{10 x} (15+5 x)+e^{5 x} \left(-30 x-10 x^2-30 x^3-10 x^4\right)} \, dx","Integrate[(-5*E^(10*x) - 5*x^2 + 18*x^3 - 4*x^4 - 5*x^6 + E^(5*x)*(9 - 32*x - 15*x^2 + 10*x^3))/(15*x^2 + 5*x^3 + 30*x^4 + 10*x^5 + 15*x^6 + 5*x^7 + E^(10*x)*(15 + 5*x) + E^(5*x)*(-30*x - 10*x^2 - 30*x^3 - 10*x^4)),x]","\frac{1}{5} \left(\frac{3 x}{-x^3-x+e^{5 x}}-5 \log (x+3)\right)","-\frac{3}{5 \left(x^2-\frac{e^{5 x}}{x}+1\right)}-\log (x+3)+7",1,"((3*x)/(E^(5*x) - x - x^3) - 5*Log[3 + x])/5","A",1
6373,0,0,27,23.181582,"\int \frac{4 x^3+2 x^4+e^x (-100+100 x) \log \left(\frac{2+x}{x}\right)+e^x \left(-100+50 x-25 x^3\right) \log ^2\left(\frac{2+x}{x}\right)}{4 x^3+2 x^4} \, dx","Integrate[(4*x^3 + 2*x^4 + E^x*(-100 + 100*x)*Log[(2 + x)/x] + E^x*(-100 + 50*x - 25*x^3)*Log[(2 + x)/x]^2)/(4*x^3 + 2*x^4),x]","\int \frac{4 x^3+2 x^4+e^x (-100+100 x) \log \left(\frac{2+x}{x}\right)+e^x \left(-100+50 x-25 x^3\right) \log ^2\left(\frac{2+x}{x}\right)}{4 x^3+2 x^4} \, dx","\frac{25 e^x (1-x) \log ^2\left(\frac{2}{x}+1\right)}{2 x^2}+x",1,"Integrate[(4*x^3 + 2*x^4 + E^x*(-100 + 100*x)*Log[(2 + x)/x] + E^x*(-100 + 50*x - 25*x^3)*Log[(2 + x)/x]^2)/(4*x^3 + 2*x^4), x]","F",-1
6374,1,9,11,0.0076994,"\int -e^{7-e^x+x} \, dx","Integrate[-E^(7 - E^x + x),x]","e^{7-e^x}","e^{7-e^x}-5",1,"E^(7 - E^x)","A",1
6375,1,20,26,0.0290436,"\int \frac{-36 e^{\frac{1}{x}}+352 x^2+8 x^3+e^{\left.\frac{1}{2}\right/x} \left(528+12 x-24 x^2\right)}{45 x^2} \, dx","Integrate[(-36*E^x^(-1) + 352*x^2 + 8*x^3 + E^(1/(2*x))*(528 + 12*x - 24*x^2))/(45*x^2),x]","\frac{4}{45} \left(x-3 e^{\left.\frac{1}{2}\right/x}+44\right)^2","\frac{4}{5} \left(\frac{x-4}{3}-e^{\left.\frac{1}{2}\right/x}+16\right)^2",1,"(4*(44 - 3*E^(1/(2*x)) + x)^2)/45","A",1
6376,1,29,33,0.1199049,"\int \frac{400-1200 x+900 x^2+e^{\frac{x^2}{-2+3 x}} \left(20 x^3-15 x^4\right)}{1600-3200 x-800 x^2+2400 x^3+900 x^4+e^{2 e^5} \left(4 x^2-12 x^3+9 x^4\right)+e^{\frac{2 x^2}{-2+3 x}} \left(4 x^2-12 x^3+9 x^4\right)+e^{\frac{x^2}{-2+3 x}} \left(160 x-400 x^2+120 x^3+180 x^4\right)+e^{e^5} \left(160 x-400 x^2+120 x^3+180 x^4+e^{\frac{x^2}{-2+3 x}} \left(8 x^2-24 x^3+18 x^4\right)\right)} \, dx","Integrate[(400 - 1200*x + 900*x^2 + E^(x^2/(-2 + 3*x))*(20*x^3 - 15*x^4))/(1600 - 3200*x - 800*x^2 + 2400*x^3 + 900*x^4 + E^(2*E^5)*(4*x^2 - 12*x^3 + 9*x^4) + E^((2*x^2)/(-2 + 3*x))*(4*x^2 - 12*x^3 + 9*x^4) + E^(x^2/(-2 + 3*x))*(160*x - 400*x^2 + 120*x^3 + 180*x^4) + E^E^5*(160*x - 400*x^2 + 120*x^3 + 180*x^4 + E^(x^2/(-2 + 3*x))*(8*x^2 - 24*x^3 + 18*x^4))),x]","\frac{5 x}{\left(e^{\frac{x^2}{3 x-2}}+10+e^{e^5}\right) x+20}","\frac{x}{\frac{1}{5} \left(e^{\frac{x^2}{3 x-2}}+e^{e^5}\right) x+2 x+4}",1,"(5*x)/(20 + (10 + E^E^5 + E^(x^2/(-2 + 3*x)))*x)","A",1
6377,1,85,20,0.0181969,"\int \frac{8 \log \left(\frac{4+x}{4 x}\right)}{4 x+x^2} \, dx","Integrate[(8*Log[(4 + x)/(4*x)])/(4*x + x^2),x]","8 \left(\frac{\text{Li}_2\left(-\frac{x}{4}\right)}{4}-\frac{1}{4} \text{Li}_2\left(\frac{x+4}{x}\right)+\frac{1}{8} \log ^2(x+4)-\frac{1}{4} \log \left(\frac{x+4}{4 x}\right) \log (x+4)-\frac{1}{4} \log (4) \log (x)-\frac{1}{4} \log \left(-\frac{4}{x}\right) \log \left(\frac{x+4}{4 x}\right)\right)","-\log ^2\left(\frac{1}{4} \left(\frac{4}{x}+1\right)\right)+5+\log (4)",1,"8*(-1/4*(Log[4]*Log[x]) + Log[4 + x]^2/8 - (Log[-4/x]*Log[(4 + x)/(4*x)])/4 - (Log[4 + x]*Log[(4 + x)/(4*x)])/4 + PolyLog[2, -1/4*x]/4 - PolyLog[2, (4 + x)/x]/4)","C",1
6378,1,21,14,0.0577866,"\int \frac{2 x^2+8 x \log (\log (50))+\left(-4+x^2+8 x \log (\log (50))+16 \log ^2(\log (50))\right) \log \left(-4+x^2+8 x \log (\log (50))+16 \log ^2(\log (50))\right)}{-4+x^2+8 x \log (\log (50))+16 \log ^2(\log (50))} \, dx","Integrate[(2*x^2 + 8*x*Log[Log[50]] + (-4 + x^2 + 8*x*Log[Log[50]] + 16*Log[Log[50]]^2)*Log[-4 + x^2 + 8*x*Log[Log[50]] + 16*Log[Log[50]]^2])/(-4 + x^2 + 8*x*Log[Log[50]] + 16*Log[Log[50]]^2),x]","x \log \left(x^2+8 x \log (\log (50))-4+16 \log ^2(\log (50))\right)","x \log \left((x+4 \log (\log (50)))^2-4\right)",1,"x*Log[-4 + x^2 + 8*x*Log[Log[50]] + 16*Log[Log[50]]^2]","A",1
6379,1,24,32,0.008602,"\int \frac{-48+2 x^2+\left(43-3 x^2\right) \log (3)}{x^2 \log (3)} \, dx","Integrate[(-48 + 2*x^2 + (43 - 3*x^2)*Log[3])/(x^2*Log[3]),x]","\frac{x (2-3 \log (3))+\frac{48-43 \log (3)}{x}}{\log (3)}","-x+\frac{5}{x}+\frac{(6-x) (x-4) \left(2-\frac{2}{\log (3)}\right)}{x}+\frac{1}{2}",1,"((48 - 43*Log[3])/x + x*(2 - 3*Log[3]))/Log[3]","A",1
6380,0,0,37,18.9609036,"\int \frac{-3 x+\left(e^2-3 x+e^{x^2} \left(-3 x^2+24 x^3-6 x^4+e^2 \left(x-8 x^2+2 x^3\right)\right)\right) \log \left(\frac{3 e^4}{e^2-3 x}\right)}{e^{e^{x^2} (-4+x)} \left(2 e^2 x^2-6 x^3\right)+\left(-e^2 x+3 x^2\right) \log \left(\frac{3 e^4}{e^2-3 x}\right)} \, dx","Integrate[(-3*x + (E^2 - 3*x + E^x^2*(-3*x^2 + 24*x^3 - 6*x^4 + E^2*(x - 8*x^2 + 2*x^3)))*Log[(3*E^4)/(E^2 - 3*x)])/(E^(E^x^2*(-4 + x))*(2*E^2*x^2 - 6*x^3) + (-(E^2*x) + 3*x^2)*Log[(3*E^4)/(E^2 - 3*x)]),x]","\int \frac{-3 x+\left(e^2-3 x+e^{x^2} \left(-3 x^2+24 x^3-6 x^4+e^2 \left(x-8 x^2+2 x^3\right)\right)\right) \log \left(\frac{3 e^4}{e^2-3 x}\right)}{e^{e^{x^2} (-4+x)} \left(2 e^2 x^2-6 x^3\right)+\left(-e^2 x+3 x^2\right) \log \left(\frac{3 e^4}{e^2-3 x}\right)} \, dx","\log \left(\frac{e^{-e^{x^2} (x-4)} \log \left(\frac{e^4}{\frac{e^2}{3}-x}\right)}{x}-2\right)",1,"Integrate[(-3*x + (E^2 - 3*x + E^x^2*(-3*x^2 + 24*x^3 - 6*x^4 + E^2*(x - 8*x^2 + 2*x^3)))*Log[(3*E^4)/(E^2 - 3*x)])/(E^(E^x^2*(-4 + x))*(2*E^2*x^2 - 6*x^3) + (-(E^2*x) + 3*x^2)*Log[(3*E^4)/(E^2 - 3*x)]), x]","F",-1
6381,1,15,10,0.0012362,"\int \frac{1}{51} (125-50 x-25 \log (3)) \, dx","Integrate[(125 - 50*x - 25*Log[3])/51,x]","-\frac{25}{51} \left(x^2-5 x+x \log (3)\right)","-\frac{25}{51} x (x-5+\log (3))",1,"(-25*(-5*x + x^2 + x*Log[3]))/51","A",1
6382,1,25,26,0.1273389,"\int \frac{-2 x+2 x \log (x) \log (\log (x)) \log \left(-\frac{5 \log (\log (x))}{e^5 \left(-8+4 e^4\right)}\right)}{\log (x) \log (\log (x)) \log ^3\left(-\frac{5 \log (\log (x))}{e^5 \left(-8+4 e^4\right)}\right)} \, dx","Integrate[(-2*x + 2*x*Log[x]*Log[Log[x]]*Log[(-5*Log[Log[x]])/(E^5*(-8 + 4*E^4))])/(Log[x]*Log[Log[x]]*Log[(-5*Log[Log[x]])/(E^5*(-8 + 4*E^4))]^3),x]","\frac{x^2}{\log ^2\left(\frac{5 \log (\log (x))}{8 e^5-4 e^9}\right)}","\frac{x^2}{\log ^2\left(\frac{5 \log (\log (x))}{4 e^5 \left(2-e^4\right)}\right)}",1,"x^2/Log[(5*Log[Log[x]])/(8*E^5 - 4*E^9)]^2","A",1
6383,1,27,28,0.0414652,"\int \frac{\left(5+(-2-x) \log (x)+(2+x) \log \left(\frac{x}{4+2 x}\right)\right) \log (\log (5))}{\left(1250+525 x-48 x^2+x^3\right) \log (x)+\left(-1250-525 x+48 x^2-x^3\right) \log \left(\frac{x}{4+2 x}\right)+\left(\left(500+230 x-10 x^2\right) \log (x)+\left(-500-230 x+10 x^2\right) \log \left(\frac{x}{4+2 x}\right)\right) \log \left(-\log (x)+\log \left(\frac{x}{4+2 x}\right)\right)+\left((50+25 x) \log (x)+(-50-25 x) \log \left(\frac{x}{4+2 x}\right)\right) \log ^2\left(-\log (x)+\log \left(\frac{x}{4+2 x}\right)\right)} \, dx","Integrate[((5 + (-2 - x)*Log[x] + (2 + x)*Log[x/(4 + 2*x)])*Log[Log[5]])/((1250 + 525*x - 48*x^2 + x^3)*Log[x] + (-1250 - 525*x + 48*x^2 - x^3)*Log[x/(4 + 2*x)] + ((500 + 230*x - 10*x^2)*Log[x] + (-500 - 230*x + 10*x^2)*Log[x/(4 + 2*x)])*Log[-Log[x] + Log[x/(4 + 2*x)]] + ((50 + 25*x)*Log[x] + (-50 - 25*x)*Log[x/(4 + 2*x)])*Log[-Log[x] + Log[x/(4 + 2*x)]]^2),x]","\frac{\log (\log (5))}{x-5 \log \left(\log \left(\frac{x}{2 x+4}\right)-\log (x)\right)-25}","\frac{\log (\log (5))}{x-5 \left(\log \left(\log \left(\frac{x}{2 x+4}\right)-\log (x)\right)+5\right)}",1,"Log[Log[5]]/(-25 + x - 5*Log[-Log[x] + Log[x/(4 + 2*x)]])","A",1
6384,1,21,26,0.0775203,"\int \frac{-10 x^2+\left(-5 x-10 x^2\right) \log (5+10 x)+x^{\frac{1}{x}} (5+10 x+(-5-10 x) \log (x)) \log (5+10 x)}{\left(x^2+2 x^3\right) \log (5+10 x)} \, dx","Integrate[(-10*x^2 + (-5*x - 10*x^2)*Log[5 + 10*x] + x^x^(-1)*(5 + 10*x + (-5 - 10*x)*Log[x])*Log[5 + 10*x])/((x^2 + 2*x^3)*Log[5 + 10*x]),x]","5 x^{\frac{1}{x}}-5 \log (x)-5 \log (\log (10 x+5))","5 \left(x^{\frac{1}{x}}-\log \left(\frac{1}{2} x \log (7-2 (1-5 x))\right)\right)",1,"5*x^x^(-1) - 5*Log[x] - 5*Log[Log[5 + 10*x]]","A",1
6385,1,35,30,5.0744259,"\int \frac{1-x-16 x^2+6 x^3+19 x^4-10 x^5+e^{-e^x+x} \left(e^x+10 x\right)}{e^{-e^x+x}-x+2 x^3-x^4} \, dx","Integrate[(1 - x - 16*x^2 + 6*x^3 + 19*x^4 - 10*x^5 + E^(-E^x + x)*(E^x + 10*x))/(E^(-E^x + x) - x + 2*x^3 - x^4),x]","5 x^2-\log \left(e^x-e^{e^x} x \left(x^3-2 x^2+1\right)\right)+x+e^x","-\log \left((x-2) x^3+x-e^{x-e^x}\right)+5 x^2+x",1,"E^x + x + 5*x^2 - Log[E^x - E^E^x*x*(1 - 2*x^2 + x^3)]","A",1
6386,1,27,25,0.0696257,"\int \frac{2 x+(5-2 x) \log (3)+e^{2 \log ^2(x)} (\log (3)+4 \log (3) \log (x))}{\log (3)} \, dx","Integrate[(2*x + (5 - 2*x)*Log[3] + E^(2*Log[x]^2)*(Log[3] + 4*Log[3]*Log[x]))/Log[3],x]","-x^2+\frac{x^2}{\log (3)}+5 x+x e^{2 \log ^2(x)}","-((x-4) x)+x+x \left(e^{2 \log ^2(x)}+\frac{x}{\log (3)}\right)",1,"5*x + E^(2*Log[x]^2)*x - x^2 + x^2/Log[3]","A",1
6387,1,19,13,0.0028067,"\int \frac{-2+2 x}{-2 x+x^2} \, dx","Integrate[(-2 + 2*x)/(-2*x + x^2),x]","2 \left(\frac{1}{2} \log (2-x)+\frac{\log (x)}{2}\right)","\log \left(\frac{1}{4} (2-x) x \log (4)\right)",1,"2*(Log[2 - x]/2 + Log[x]/2)","A",1
6388,1,49,32,0.2365869,"\int \frac{e^{2 e^2} (-1+x)-25 x^2+25 x^3+e^x \left(5 x-5 x^2\right)+e^{e^2} \left(-5 x-e^x x+10 x^2\right)+\left(-e^{2 e^2} x+5 e^x x-25 x^2-25 x^3+e^{e^2} \left(e^x-5 x-10 x^2\right)+\left(e^{2 e^2}+10 e^{e^2} x+25 x^2\right) \log (x)\right) \log \left(\frac{-e^x+5 x+e^{e^2} x+5 x^2+\left(-e^{e^2}-5 x\right) \log (x)}{e^{e^2}+5 x}\right)}{\left(-e^{2 e^2} x+5 e^x x-25 x^2-25 x^3+e^{e^2} \left(e^x-5 x-10 x^2\right)+\left(e^{2 e^2}+10 e^{e^2} x+25 x^2\right) \log (x)\right) \log ^2\left(\frac{-e^x+5 x+e^{e^2} x+5 x^2+\left(-e^{e^2}-5 x\right) \log (x)}{e^{e^2}+5 x}\right)} \, dx","Integrate[(E^(2*E^2)*(-1 + x) - 25*x^2 + 25*x^3 + E^x*(5*x - 5*x^2) + E^E^2*(-5*x - E^x*x + 10*x^2) + (-(E^(2*E^2)*x) + 5*E^x*x - 25*x^2 - 25*x^3 + E^E^2*(E^x - 5*x - 10*x^2) + (E^(2*E^2) + 10*E^E^2*x + 25*x^2)*Log[x])*Log[(-E^x + 5*x + E^E^2*x + 5*x^2 + (-E^E^2 - 5*x)*Log[x])/(E^E^2 + 5*x)])/((-(E^(2*E^2)*x) + 5*E^x*x - 25*x^2 - 25*x^3 + E^E^2*(E^x - 5*x - 10*x^2) + (E^(2*E^2) + 10*E^E^2*x + 25*x^2)*Log[x])*Log[(-E^x + 5*x + E^E^2*x + 5*x^2 + (-E^E^2 - 5*x)*Log[x])/(E^E^2 + 5*x)]^2),x]","\frac{x}{\log \left(\frac{5 (x+1) x+e^{e^2} x-e^x-\left(5 x+e^{e^2}\right) \log (x)}{5 x+e^{e^2}}\right)}","\frac{x}{\log \left(\frac{e^x-5 x}{-5 x-e^{e^2}}+x-\log (x)\right)}",1,"x/Log[(-E^x + E^E^2*x + 5*x*(1 + x) - (E^E^2 + 5*x)*Log[x])/(E^E^2 + 5*x)]","A",1
6389,1,21,21,0.0061371,"\int \frac{-8+6 x+181 x^2-90 x^3}{-8 x+4 x^2} \, dx","Integrate[(-8 + 6*x + 181*x^2 - 90*x^3)/(-8*x + 4*x^2),x]","-\frac{45 x^2}{4}+\frac{x}{4}+\log (2-x)+\log (x)","-\frac{45 x^2}{4}+\frac{x}{4}+\log (x-2)+\log (2 x)",1,"x/4 - (45*x^2)/4 + Log[2 - x] + Log[x]","A",1
6390,1,31,32,0.0958208,"\int \frac{e^{x+x^2}+e^x \left(-2-x^2\right)+\left(e^{x+x^2} \left(2-x+2 x^2\right)+e^x \left(-4+2 x-4 x^2+x^3\right)\right) \log (x)+\left(4 x+e^{2 x^2} x+4 x^3+x^5+e^{x^2} \left(-4 x-2 x^3\right)\right) \log ^2(x)}{\left(4 x^3+e^{2 x^2} x^3+4 x^5+x^7+e^{x^2} \left(-4 x^3-2 x^5\right)\right) \log ^2(x)} \, dx","Integrate[(E^(x + x^2) + E^x*(-2 - x^2) + (E^(x + x^2)*(2 - x + 2*x^2) + E^x*(-4 + 2*x - 4*x^2 + x^3))*Log[x] + (4*x + E^(2*x^2)*x + 4*x^3 + x^5 + E^x^2*(-4*x - 2*x^3))*Log[x]^2)/((4*x^3 + E^(2*x^2)*x^3 + 4*x^5 + x^7 + E^x^2*(-4*x^3 - 2*x^5))*Log[x]^2),x]","\frac{e^x}{x^2 \left(x^2-e^{x^2}+2\right) \log (x)}-\frac{1}{x}","25-\frac{x-\frac{e^x}{\left(x^2-e^{x^2}+2\right) \log (x)}}{x^2}",1,"-x^(-1) + E^x/(x^2*(2 - E^x^2 + x^2)*Log[x])","A",1
6391,1,32,26,0.0309675,"\int e^{8 x} \left(1050625+8925700 x+2155787 x^2+198696 x^3+8208 x^4+128 x^5+e^{16} (16+128 x)+e^{12} \left(-1024-8320 x-512 x^2\right)+e^8 \left(24584+202800 x+24800 x^2+768 x^3\right)+e^4 \left(-262400-2197024 x-400464 x^2-24704 x^3-512 x^4\right)\right) \, dx","Integrate[E^(8*x)*(1050625 + 8925700*x + 2155787*x^2 + 198696*x^3 + 8208*x^4 + 128*x^5 + E^16*(16 + 128*x) + E^12*(-1024 - 8320*x - 512*x^2) + E^8*(24584 + 202800*x + 24800*x^2 + 768*x^3) + E^4*(-262400 - 2197024*x - 400464*x^2 - 24704*x^3 - 512*x^4)),x]","e^{8 x} x \left(4 x^2+127 x-8 e^4 (x+16)+4 e^8+1025\right)^2","e^{8 x} x \left(4 \left(x-e^4+16\right)^2-x+1\right)^2",1,"E^(8*x)*x*(1025 + 4*E^8 + 127*x + 4*x^2 - 8*E^4*(16 + x))^2","A",1
6392,1,28,28,0.0812536,"\int \frac{1134+40 e^9+e^6 (360-120 x)-1080 x+360 x^2-40 x^3+1080 e^{3 x^2} x^3+e^3 \left(1080-720 x+120 x^2\right)+e^{2 x^2} \left(3240 x^2+1080 e^3 x^2-1080 x^3\right)+e^{x^2} \left(-162+3240 x+360 e^6 x-2484 x^2+360 x^3+e^3 \left(2160 x-720 x^2\right)\right)}{27+e^9+e^6 (9-3 x)-27 x+9 x^2-x^3+27 e^{3 x^2} x^3+e^3 \left(27-18 x+3 x^2\right)+e^{2 x^2} \left(81 x^2+27 e^3 x^2-27 x^3\right)+e^{x^2} \left(81 x+9 e^6 x-54 x^2+9 x^3+e^3 \left(54 x-18 x^2\right)\right)} \, dx","Integrate[(1134 + 40*E^9 + E^6*(360 - 120*x) - 1080*x + 360*x^2 - 40*x^3 + 1080*E^(3*x^2)*x^3 + E^3*(1080 - 720*x + 120*x^2) + E^(2*x^2)*(3240*x^2 + 1080*E^3*x^2 - 1080*x^3) + E^x^2*(-162 + 3240*x + 360*E^6*x - 2484*x^2 + 360*x^3 + E^3*(2160*x - 720*x^2)))/(27 + E^9 + E^6*(9 - 3*x) - 27*x + 9*x^2 - x^3 + 27*E^(3*x^2)*x^3 + E^3*(27 - 18*x + 3*x^2) + E^(2*x^2)*(81*x^2 + 27*E^3*x^2 - 27*x^3) + E^x^2*(81*x + 9*E^6*x - 54*x^2 + 9*x^3 + E^3*(54*x - 18*x^2))),x]","2 \left(\frac{27}{2 \left(3 e^{x^2} x-x+e^3+3\right)^2}+20 x\right)","\frac{3}{\left(e^{x^2} x+\frac{1}{3} \left(-x+e^3+3\right)\right)^2}+40 x",1,"2*(20*x + 27/(2*(3 + E^3 - x + 3*E^x^2*x)^2))","A",1
6393,1,29,30,0.004219,"\int -\frac{2 x \log (3) (i \pi +\log (4-\log (4)))}{e^2 \left(25+10 x^2+x^4\right)} \, dx","Integrate[(-2*x*Log[3]*(I*Pi + Log[4 - Log[4]]))/(E^2*(25 + 10*x^2 + x^4)),x]","\frac{i \log (3) (\pi -i \log (4-\log (4)))}{e^2 \left(x^2+5\right)}","e^2+\frac{\log (3) (\log (4-\log (4))+i \pi )}{e^2 \left(x^2+5\right)}",1,"(I*Log[3]*(Pi - I*Log[4 - Log[4]]))/(E^2*(5 + x^2))","A",1
6394,1,34,35,0.241783,"\int \frac{1}{8} \exp \left(\frac{5}{4} e^{\frac{1}{2} \left(x^2-e^{2 e^{\frac{e^5+x^2}{x}}} x^3\right)}+\frac{1}{2} \left(x^2-e^{2 e^{\frac{e^5+x^2}{x}}} x^3\right)\right) \left(10 x+e^{2 e^{\frac{e^5+x^2}{x}}} \left(-15 x^2+e^{\frac{e^5+x^2}{x}} \left(10 e^5 x-10 x^3\right)\right)\right) \, dx","Integrate[(E^((5*E^((x^2 - E^(2*E^((E^5 + x^2)/x))*x^3)/2))/4 + (x^2 - E^(2*E^((E^5 + x^2)/x))*x^3)/2)*(10*x + E^(2*E^((E^5 + x^2)/x))*(-15*x^2 + E^((E^5 + x^2)/x)*(10*E^5*x - 10*x^3))))/8,x]","e^{\frac{5}{4} e^{-\frac{1}{2} x^2 \left(e^{2 e^{x+\frac{e^5}{x}}} x-1\right)}}","e^{\frac{5}{4} e^{\frac{1}{2} x \left(x-e^{2 e^{x+\frac{e^5}{x}}} x^2\right)}}",1,"E^(5/(4*E^((x^2*(-1 + E^(2*E^(E^5/x + x))*x))/2)))","A",1
6395,1,157,26,0.3938802,"\int \frac{180 x-308 x^2-272 x^3-21 x^4+\left(-150+280 x+255 x^2+20 x^3\right) \log (2)+\left(30 x-56 x^2-51 x^3-4 x^4+\left(-30+56 x+51 x^2+4 x^3\right) \log (2)\right) \log (x-\log (2))}{-3 x+3 \log (2)} \, dx","Integrate[(180*x - 308*x^2 - 272*x^3 - 21*x^4 + (-150 + 280*x + 255*x^2 + 20*x^3)*Log[2] + (30*x - 56*x^2 - 51*x^3 - 4*x^4 + (-30 + 56*x + 51*x^2 + 4*x^3)*Log[2])*Log[x - Log[2]])/(-3*x + 3*Log[2]),x]","\frac{1}{162} \left(3 x \left(90 x^3+1530 x^2+x \left(2520-9 \log ^2(2)+\log ^2(8)\right)-2700-18 \log ^3(2)+\log (4) \log ^2(8)-306 \log ^2(2)+\log (8) \log (5070602400912917605986812821504)\right)+54 \left(x^4+17 x^3+28 x^2-30 x-\log (2) \left(-30+\log ^3(2)+17 \log ^2(2)+28 \log (2)\right)\right) \log (x-\log (2))-2 \left(45 \log (2) \left(-90+17 \log ^2(8)+56 \log (8)\right)+\log (8) \left(1620-7 \log ^3(8)+4 \log ^2(8) (\log (32)-68)-924 \log (8)\right)\right) \log (3 x-\log (8))\right)","\left(\frac{x}{3}+5\right) x \left(x^2+2 x-2\right) (\log (x-\log (2))+5)",1,"(3*x*(-2700 + 1530*x^2 + 90*x^3 - 306*Log[2]^2 - 18*Log[2]^3 + Log[4]*Log[8]^2 + x*(2520 - 9*Log[2]^2 + Log[8]^2) + Log[8]*Log[5070602400912917605986812821504]) + 54*(-30*x + 28*x^2 + 17*x^3 + x^4 - Log[2]*(-30 + 28*Log[2] + 17*Log[2]^2 + Log[2]^3))*Log[x - Log[2]] - 2*(45*Log[2]*(-90 + 56*Log[8] + 17*Log[8]^2) + Log[8]*(1620 - 924*Log[8] - 7*Log[8]^3 + 4*Log[8]^2*(-68 + Log[32])))*Log[3*x - Log[8]])/162","B",0
6396,1,111,29,0.0754381,"\int \frac{-336 x^2-2528 x^3-7284 x^4-9984 x^5-6400 x^6-1536 x^7+e^{8/x} \left(288+384 x+80 x^2-32 x^3\right)+e^{6/x} \left(-864-2880 x-2208 x^2+128 x^3+384 x^4\right)+e^{4/x} \left(864+4608 x+7296 x^2+1920 x^3-3072 x^4-1536 x^5\right)+e^{2/x} \left(-288-2112 x-4832 x^2-1792 x^3+6912 x^4+8192 x^5+2560 x^6\right)}{x^2} \, dx","Integrate[(-336*x^2 - 2528*x^3 - 7284*x^4 - 9984*x^5 - 6400*x^6 - 1536*x^7 + E^(8/x)*(288 + 384*x + 80*x^2 - 32*x^3) + E^(6/x)*(-864 - 2880*x - 2208*x^2 + 128*x^3 + 384*x^4) + E^(4/x)*(864 + 4608*x + 7296*x^2 + 1920*x^3 - 3072*x^4 - 1536*x^5) + E^(2/x)*(-288 - 2112*x - 4832*x^2 - 1792*x^3 + 6912*x^4 + 8192*x^5 + 2560*x^6))/x^2,x]","-4 \left(64 x^6+320 x^5+624 x^4+607 x^3+316 x^2+6 e^{4/x} \left(4 x^2+8 x+3\right)^2+84 x+e^{8/x} (2 x+3)^2-4 e^{2/x} (2 x+1)^3 (2 x+3)^2-4 e^{6/x} (2 x+1) (2 x+3)^2\right)","4 \left(x^3-\left(-2 x+e^{2/x}-1\right)^4 (2 x+3)^2\right)",1,"-4*(84*x + 316*x^2 + 607*x^3 + 624*x^4 + 320*x^5 + 64*x^6 + E^(8/x)*(3 + 2*x)^2 - 4*E^(6/x)*(1 + 2*x)*(3 + 2*x)^2 - 4*E^(2/x)*(1 + 2*x)^3*(3 + 2*x)^2 + 6*E^(4/x)*(3 + 8*x + 4*x^2)^2)","B",1
6397,1,60,22,0.0531368,"\int \frac{-1476225+25 e^{15}+4920714 x-6561024 x^2+4374000 x^3-1458000 x^4+194400 x^5+e^{12} (-1125+750 x)+e^9 \left(20250-27000 x+9000 x^2\right)+e^6 \left(-182250+364500 x-243000 x^2+54000 x^3\right)+e^3 \left(820125-2186996 x+2187000 x^2-972000 x^3+162000 x^4\right)}{-1476225+25 e^{15}+4920750 x-6561000 x^2+4374000 x^3-1458000 x^4+194400 x^5+e^{12} (-1125+750 x)+e^9 \left(20250-27000 x+9000 x^2\right)+e^6 \left(-182250+364500 x-243000 x^2+54000 x^3\right)+e^3 \left(820125-2187000 x+2187000 x^2-972000 x^3+162000 x^4\right)} \, dx","Integrate[(-1476225 + 25*E^15 + 4920714*x - 6561024*x^2 + 4374000*x^3 - 1458000*x^4 + 194400*x^5 + E^12*(-1125 + 750*x) + E^9*(20250 - 27000*x + 9000*x^2) + E^6*(-182250 + 364500*x - 243000*x^2 + 54000*x^3) + E^3*(820125 - 2186996*x + 2187000*x^2 - 972000*x^3 + 162000*x^4))/(-1476225 + 25*E^15 + 4920750*x - 6561000*x^2 + 4374000*x^3 - 1458000*x^4 + 194400*x^5 + E^12*(-1125 + 750*x) + E^9*(20250 - 27000*x + 9000*x^2) + E^6*(-182250 + 364500*x - 243000*x^2 + 54000*x^3) + E^3*(820125 - 2187000*x + 2187000*x^2 - 972000*x^3 + 162000*x^4)),x]","\frac{75 \left(6 x+e^3-9\right)^5+\left(6 x+e^3-9\right)^2+6 e^3 (3-2 x)+54 (2 x-3)-e^6+81}{450 \left(6 x+e^3-9\right)^4}","\frac{2 x^2}{25 \left(e^3-3 (3-2 x)\right)^4}+x",1,"(81 - E^6 + 6*E^3*(3 - 2*x) + 54*(-3 + 2*x) + (-9 + E^3 + 6*x)^2 + 75*(-9 + E^3 + 6*x)^5)/(450*(-9 + E^3 + 6*x)^4)","B",1
6398,1,39,21,0.0791498,"\int \frac{360 x+270 x^2+e^{12} x^2-3 e^8 x^3-x^5+e^4 \left(-120+3 x^4\right)}{-120 x^2-135 x^3+e^{12} x^3-3 e^8 x^4-x^6+e^4 \left(120 x+135 x^2+3 x^5\right)} \, dx","Integrate[(360*x + 270*x^2 + E^12*x^2 - 3*E^8*x^3 - x^5 + E^4*(-120 + 3*x^4))/(-120*x^2 - 135*x^3 + E^12*x^3 - 3*E^8*x^4 - x^6 + E^4*(120*x + 135*x^2 + 3*x^5)),x]","\log \left(x^4-2 e^4 x^3+e^8 x^2+135 x+120\right)-2 \log \left(e^4-x\right)-\log (x)","\log \left(\frac{15 \left(\frac{8}{x}+9\right)}{\left(e^4-x\right)^2}+x\right)",1,"-2*Log[E^4 - x] - Log[x] + Log[120 + 135*x + E^8*x^2 - 2*E^4*x^3 + x^4]","A",1
6399,1,9,20,0.00007,"\int (-47+32 x) \, dx","Integrate[-47 + 32*x,x]","16 x^2-47 x","4 (3 (1-x)+x)^2+x-e^2",1,"-47*x + 16*x^2","A",1
6400,1,49,24,1.6427094,"\int \frac{\left(160+40 x+\left(64 x^3+16 x^4\right) \log ^2(4)\right) \log \left(\frac{5-x^3 \log ^2(4)}{x}\right)+\left(-80-40 x+\left(16 x^3+8 x^4\right) \log ^2(4)\right) \log ^2\left(\frac{5-x^3 \log ^2(4)}{x}\right)}{-5+x^3 \log ^2(4)} \, dx","Integrate[((160 + 40*x + (64*x^3 + 16*x^4)*Log[4]^2)*Log[(5 - x^3*Log[4]^2)/x] + (-80 - 40*x + (16*x^3 + 8*x^4)*Log[4]^2)*Log[(5 - x^3*Log[4]^2)/x]^2)/(-5 + x^3*Log[4]^2),x]","8 \left(2 x \log ^2\left(\frac{5-x^3 \log ^2(4)}{x}\right)+\frac{1}{2} x^2 \log ^2\left(\frac{5-x^3 \log ^2(4)}{x}\right)\right)","4 x (x+4) \log ^2\left(\frac{5}{x}-x^2 \log ^2(4)\right)",1,"8*(2*x*Log[(5 - x^3*Log[4]^2)/x]^2 + (x^2*Log[(5 - x^3*Log[4]^2)/x]^2)/2)","B",1
6401,1,22,20,0.9302939,"\int \frac{e^x \left(-8 x+4 x^2+28 x^6-4 x^7-12 x^{11}+x^{12}+\log (4)\right)}{16 x^4-32 x^9+24 x^{14}-8 x^{19}+x^{24}+\left(8 x^2-8 x^7+2 x^{12}\right) \log (4)+\log ^2(4)} \, dx","Integrate[(E^x*(-8*x + 4*x^2 + 28*x^6 - 4*x^7 - 12*x^11 + x^12 + Log[4]))/(16*x^4 - 32*x^9 + 24*x^14 - 8*x^19 + x^24 + (8*x^2 - 8*x^7 + 2*x^12)*Log[4] + Log[4]^2),x]","\frac{e^x}{x^{12}-4 x^7+4 x^2+\log (4)}","\frac{e^x}{x^2 \left(x^5-2\right)^2+\log (4)}",1,"E^x/(4*x^2 - 4*x^7 + x^12 + Log[4])","A",1
6402,1,24,24,0.0602345,"\int \frac{e^2 \left(-2 x^2-x^3\right)+\left(-2 x^2-x^3\right) \log (5)+\left(e^2 \left(2 x+x^2\right)+\left(2 x+x^2\right) \log (5)\right) \log \left(\frac{x}{2+x}\right)+\left(16-16 x-8 x^2\right) \log ^7\left(x-\log \left(\frac{x}{2+x}\right)\right)}{-2 x^2-x^3+\left(2 x+x^2\right) \log \left(\frac{x}{2+x}\right)} \, dx","Integrate[(E^2*(-2*x^2 - x^3) + (-2*x^2 - x^3)*Log[5] + (E^2*(2*x + x^2) + (2*x + x^2)*Log[5])*Log[x/(2 + x)] + (16 - 16*x - 8*x^2)*Log[x - Log[x/(2 + x)]]^7)/(-2*x^2 - x^3 + (2*x + x^2)*Log[x/(2 + x)]),x]","\log ^8\left(x-\log \left(\frac{x}{x+2}\right)\right)+x \left(e^2+\log (5)\right)","\log ^8\left(x-\log \left(\frac{x}{x+2}\right)\right)+x \left(e^2+\log (5)\right)",1,"x*(E^2 + Log[5]) + Log[x - Log[x/(2 + x)]]^8","A",1
6403,1,26,20,0.1015465,"\int \frac{-96-160 x-32 x^2+32 x^3+\left(-96+256 x+192 x^2-128 x^3+32 x^4\right) \log (x)+\left(288 x-288 x^2-32 x^3+32 x^4\right) \log ^2(x)}{1+3 x+3 x^2+x^3} \, dx","Integrate[(-96 - 160*x - 32*x^2 + 32*x^3 + (-96 + 256*x + 192*x^2 - 128*x^3 + 32*x^4)*Log[x] + (288*x - 288*x^2 - 32*x^3 + 32*x^4)*Log[x]^2)/(1 + 3*x + 3*x^2 + x^3),x]","\frac{16 (x-3) x \log (x) (2 (x+1)+(x-3) x \log (x))}{(x+1)^2}","\left(4 x \left(1-\frac{4}{x+1}\right) \log (x)+4\right)^2-4",1,"(16*(-3 + x)*x*Log[x]*(2*(1 + x) + (-3 + x)*x*Log[x]))/(1 + x)^2","A",1
6404,1,16,18,0.2839486,"\int \frac{5 x+16 e^{\frac{2}{5} (10+8 \log (4) \log (x))} \log (4)}{10 x+5 e^{\frac{2}{5} (10+8 \log (4) \log (x))} x+5 x^2} \, dx","Integrate[(5*x + 16*E^((2*(10 + 8*Log[4]*Log[x]))/5)*Log[4])/(10*x + 5*E^((2*(10 + 8*Log[4]*Log[x]))/5)*x + 5*x^2),x]","\log \left(x+e^{\frac{16}{5} \log (4) \log (x)+4}+2\right)","\log \left(x+e^{\frac{16}{5} \log (4) \log (x)+4}+2\right)+4",1,"Log[2 + E^(4 + (16*Log[4]*Log[x])/5) + x]","A",1
6405,1,20,21,0.002834,"\int \frac{1}{3} \left(-3+2 x+150 x \log (x)+150 x \log ^2(x)\right) \, dx","Integrate[(-3 + 2*x + 150*x*Log[x] + 150*x*Log[x]^2)/3,x]","\frac{x^2}{3}+25 x^2 \log ^2(x)-x","\frac{x^2}{3}+25 x^2 \log ^2(x)-x+7",1,"-x + x^2/3 + 25*x^2*Log[x]^2","A",1
6406,1,12,12,0.0909605,"\int \frac{\log (x) \log ^2(\log (x))+e^{\frac{3 x}{\log (\log (x))}} (-3+3 \log (x) \log (\log (x)))}{\log (x) \log ^2(\log (x))} \, dx","Integrate[(Log[x]*Log[Log[x]]^2 + E^((3*x)/Log[Log[x]])*(-3 + 3*Log[x]*Log[Log[x]]))/(Log[x]*Log[Log[x]]^2),x]","x+e^{\frac{3 x}{\log (\log (x))}}","x+e^{\frac{3 x}{\log (\log (x))}}",1,"E^((3*x)/Log[Log[x]]) + x","A",1
6407,1,66,29,0.1529404,"\int \frac{-3+x+3 x^2-x^3-x^4+x^6+\left(-4+2 x-3 x^2-4 x^4+3 x^6\right) \log (x)+\left(-3 x^2+x^4\right) \log ^2(x)}{1-2 x^2+x^4} \, dx","Integrate[(-3 + x + 3*x^2 - x^3 - x^4 + x^6 + (-4 + 2*x - 3*x^2 - 4*x^4 + 3*x^6)*Log[x] + (-3*x^2 + x^4)*Log[x]^2)/(1 - 2*x^2 + x^4),x]","\text{Li}_2(1-x)+\text{Li}_2(x)+\frac{x^3 \log ^2(x)+\left(x^2-1\right) x+\left(\left(x^2-1\right) \log (1-x)+x \left(x^4-x^2-x+4\right)\right) \log (x)}{x^2-1}","x \log (x) \left(x^2-\frac{x-\log (x)-4}{x^2-1}+\log (x)\right)+x-3",1,"(x*(-1 + x^2) + (x*(4 - x - x^2 + x^4) + (-1 + x^2)*Log[1 - x])*Log[x] + x^3*Log[x]^2)/(-1 + x^2) + PolyLog[2, 1 - x] + PolyLog[2, x]","C",1
6408,1,61,22,0.3401306,"\int \frac{e^{-6 x} \left(-6 x+e^{3 x} \left(-4-36 x-18 x^2\right)+e^{6 x} \left(-28+30 x+18 x^2\right)+\left(e^{6 x} (4-6 x)+6 e^{3 x} x\right) \log \left(\frac{x^2}{4}\right)\right)}{x} \, dx","Integrate[(-6*x + E^(3*x)*(-4 - 36*x - 18*x^2) + E^(6*x)*(-28 + 30*x + 18*x^2) + (E^(6*x)*(4 - 6*x) + 6*E^(3*x)*x)*Log[x^2/4])/(E^(6*x)*x),x]","9 x^2+\log ^2\left(\frac{x^2}{4}\right)+2 \left(-3 x-e^{-3 x}\right) \log \left(\frac{x^2}{4}\right)+42 x+e^{-6 x}+2 e^{-3 x} (3 x+7)-28 \log (x)","\left(-\log \left(\frac{x^2}{4}\right)+3 x+e^{-3 x}+7\right)^2",1,"E^(-6*x) + 42*x + 9*x^2 + (2*(7 + 3*x))/E^(3*x) - 28*Log[x] + 2*(-E^(-3*x) - 3*x)*Log[x^2/4] + Log[x^2/4]^2","B",1
6409,1,19,13,0.1225874,"\int \frac{3+2 e^{2 x} x^2}{-3 x+5 x^2+e^{2 x} x^2} \, dx","Integrate[(3 + 2*E^(2*x)*x^2)/(-3*x + 5*x^2 + E^(2*x)*x^2),x]","\log \left(-e^{2 x} x-5 x+3\right)-\log (x)","\log \left(e^{2 x}-\frac{3}{x}+5\right)",1,"-Log[x] + Log[3 - 5*x - E^(2*x)*x]","A",1
6410,1,21,33,1.066234,"\int \frac{6 e^{2 x} x^2+e^x \left(2+8 x-8 x^2+16 x^3\right)+\left(-2 e^{2 x} x^2+e^x \left(-2 x+x^2-4 x^3\right)\right) \log \left(\frac{2-x+2 e^x x+4 x^2}{2 x}\right)}{2 x-x^2+2 e^x x^2+4 x^3} \, dx","Integrate[(6*E^(2*x)*x^2 + E^x*(2 + 8*x - 8*x^2 + 16*x^3) + (-2*E^(2*x)*x^2 + E^x*(-2*x + x^2 - 4*x^3))*Log[(2 - x + 2*E^x*x + 4*x^2)/(2*x)])/(2*x - x^2 + 2*E^x*x^2 + 4*x^3),x]","-e^x \left(\log \left(2 x+e^x+\frac{1}{x}-\frac{1}{2}\right)-4\right)","-e^x \left(\log \left(\frac{2-x}{2 x}+e^x+2 x\right)-4\right)-e^3",1,"-(E^x*(-4 + Log[-1/2 + E^x + x^(-1) + 2*x]))","A",1
6411,1,29,28,0.0278947,"\int \frac{e^{\frac{2 x+e x+3 e^5 x-6 x^3+3 \log (x)}{15 x}} \left(1-4 x^3-\log (x)\right)}{5 x^2} \, dx","Integrate[(E^((2*x + E*x + 3*E^5*x - 6*x^3 + 3*Log[x])/(15*x))*(1 - 4*x^3 - Log[x]))/(5*x^2),x]","e^{\frac{1}{15} \left(-6 x^2+3 e^5+e+2\right)} x^{\left.\frac{1}{5}\right/x}","e^{\frac{1}{5} \left(-2 x^2+\frac{\log (x)}{x}+\frac{2+e}{3}+e^5\right)}",1,"E^((2 + E + 3*E^5 - 6*x^2)/15)*x^(1/(5*x))","A",1
6412,1,16,25,0.0096308,"\int \frac{-9-27 x+23 x^2+13 x^3+2 x^4}{9 x+6 x^2+x^3} \, dx","Integrate[(-9 - 27*x + 23*x^2 + 13*x^3 + 2*x^4)/(9*x + 6*x^2 + x^3),x]","x^2+x+\frac{30}{x+3}-\log (x)","x^2-\frac{2 (2-x) x}{x+3}-x-\log (x)-4",1,"x + x^2 + 30/(3 + x) - Log[x]","A",1
6413,1,11,19,0.002011,"\int \frac{-15-24 x^6}{32 x^6} \, dx","Integrate[(-15 - 24*x^6)/(32*x^6),x]","\frac{3}{32} \left(\frac{1}{x^5}-8 x\right)","\frac{3}{32 x^5}-\frac{3 x}{4}+5 e^4-2",1,"(3*(x^(-5) - 8*x))/32","A",1
6414,1,33,31,0.0955779,"\int \frac{e^3 \left(3-12 x-6 x^2\right)+e^x \left(-8 x^4+144 x^5\right)+\left(e^3 (3+3 x)+e^x \left(8 x^3-144 x^4\right)\right) \log (x)+e^x \left(-2 x^2+36 x^3\right) \log ^2(x)}{8 e^x x^4-8 e^x x^3 \log (x)+2 e^x x^2 \log ^2(x)} \, dx","Integrate[(E^3*(3 - 12*x - 6*x^2) + E^x*(-8*x^4 + 144*x^5) + (E^3*(3 + 3*x) + E^x*(8*x^3 - 144*x^4))*Log[x] + E^x*(-2*x^2 + 36*x^3)*Log[x]^2)/(8*E^x*x^4 - 8*E^x*x^3*Log[x] + 2*E^x*x^2*Log[x]^2),x]","\frac{1}{2} \left(18 x^2-2 x-\frac{3 e^{3-x}}{x (\log (x)-2 x)}\right)","9 x^2-x+\frac{3 e^{3-x}}{x (4 x-2 \log (x))}",1,"(-2*x + 18*x^2 - (3*E^(3 - x))/(x*(-2*x + Log[x])))/2","A",1
6415,1,15,15,0.4944005,"\int \frac{e^{(-4+x-\log (12+x))^{\frac{1}{x^2}}} (-4+x-\log (12+x))^{\frac{1}{x^2}} \left(-11 x-x^2+\left(-96+16 x+2 x^2+(-24-2 x) \log (12+x)\right) \log (-4+x-\log (12+x))\right)}{48 x^3-8 x^4-x^5+\left(12 x^3+x^4\right) \log (12+x)} \, dx","Integrate[(E^(-4 + x - Log[12 + x])^x^(-2)*(-4 + x - Log[12 + x])^x^(-2)*(-11*x - x^2 + (-96 + 16*x + 2*x^2 + (-24 - 2*x)*Log[12 + x])*Log[-4 + x - Log[12 + x]]))/(48*x^3 - 8*x^4 - x^5 + (12*x^3 + x^4)*Log[12 + x]),x]","e^{(x-\log (x+12)-4)^{\frac{1}{x^2}}}","e^{(x-\log (x+12)-4)^{\frac{1}{x^2}}}",1,"E^(-4 + x - Log[12 + x])^x^(-2)","A",1
6416,1,25,27,5.1438602,"\int \frac{\exp \left(\frac{1}{-9-e^{6 x}+e^{3 x} (6-2 x)+6 x-x^2+\log (x)}\right) \left(-3-18 x+18 e^{6 x} x+6 x^2+e^{3 x} \left(-48 x+18 x^2\right)\right)}{324 x+4 e^{12 x} x-432 x^2+216 x^3-48 x^4+4 x^5+e^{9 x} \left(-48 x+16 x^2\right)+e^{6 x} \left(216 x-144 x^2+24 x^3\right)+e^{3 x} \left(-432 x+432 x^2-144 x^3+16 x^4\right)+\left(-72 x-8 e^{6 x} x+48 x^2-8 x^3+e^{3 x} \left(48 x-16 x^2\right)\right) \log (x)+4 x \log ^2(x)} \, dx","Integrate[(E^(-9 - E^(6*x) + E^(3*x)*(6 - 2*x) + 6*x - x^2 + Log[x])^(-1)*(-3 - 18*x + 18*E^(6*x)*x + 6*x^2 + E^(3*x)*(-48*x + 18*x^2)))/(324*x + 4*E^(12*x)*x - 432*x^2 + 216*x^3 - 48*x^4 + 4*x^5 + E^(9*x)*(-48*x + 16*x^2) + E^(6*x)*(216*x - 144*x^2 + 24*x^3) + E^(3*x)*(-432*x + 432*x^2 - 144*x^3 + 16*x^4) + (-72*x - 8*E^(6*x)*x + 48*x^2 - 8*x^3 + E^(3*x)*(48*x - 16*x^2))*Log[x] + 4*x*Log[x]^2),x]","\frac{3}{4} e^{-\frac{1}{\left(x+e^{3 x}-3\right)^2-\log (x)}}","\frac{3}{4} e^{\frac{1}{\log (x)-\left(-x-e^{3 x}+3\right)^2}}",1,"3/(4*E^((-3 + E^(3*x) + x)^2 - Log[x])^(-1))","A",1
6417,1,51,23,0.0811478,"\int \frac{-3 x^2+\left(-2+2 x+x^2\right) \log (2)}{18 x^2+36 x^3+18 x^4+\left(-36 x-72 x^2-36 x^3\right) \log (2)+\left(18+36 x+18 x^2\right) \log ^2(2)} \, dx","Integrate[(-3*x^2 + (-2 + 2*x + x^2)*Log[2])/(18*x^2 + 36*x^3 + 18*x^4 + (-36*x - 72*x^2 - 36*x^3)*Log[2] + (18 + 36*x + 18*x^2)*Log[2]^2),x]","\frac{\frac{-\log ^3(2)+3 \log ^2(2)+\log (4)-\log (2) \log (4)}{x-\log (2)}+\frac{3+\log (8)}{x+1}}{18 (1+\log (2))^2}","\frac{2 (x-2) x}{9 (4 x+4) (\log (2)-x)}",1,"((3*Log[2]^2 - Log[2]^3 + Log[4] - Log[2]*Log[4])/(x - Log[2]) + (3 + Log[8])/(1 + x))/(18*(1 + Log[2])^2)","B",0
6418,1,21,25,0.4218305,"\int \frac{e^{2+x+e x^2-x^3} \left(-1+e^{-2-x-e x^2+x^3}+x+2 e x^2-3 x^3\right)}{x^2} \, dx","Integrate[(E^(2 + x + E*x^2 - x^3)*(-1 + E^(-2 - x - E*x^2 + x^3) + x + 2*E*x^2 - 3*x^3))/x^2,x]","\frac{e^{-x^3+e x^2+x+2}-1}{x}","\frac{e^{-\left((e-x) \left(1-x^2\right)\right)+e+2}-1}{x}",1,"(-1 + E^(2 + x + E*x^2 - x^3))/x","A",1
6419,1,37,32,0.4591372,"\int \frac{\exp \left(\frac{1}{4} \left(4 e^{\frac{-3+14 e^x+14 x}{-1+5 e^x+5 x}}+e^2 \left(-4-4 x-x^2\right)\right)\right) \left(e^{\frac{-3+14 e^x+14 x}{-1+5 e^x+5 x}} \left(2+2 e^x\right)+e^{2+2 x} (-50-25 x)+e^{2+x} \left(20-90 x-50 x^2\right)+e^2 \left(-2+19 x-40 x^2-25 x^3\right)\right)}{2+50 e^{2 x}-20 x+50 x^2+e^x (-20+100 x)} \, dx","Integrate[(E^((4*E^((-3 + 14*E^x + 14*x)/(-1 + 5*E^x + 5*x)) + E^2*(-4 - 4*x - x^2))/4)*(E^((-3 + 14*E^x + 14*x)/(-1 + 5*E^x + 5*x))*(2 + 2*E^x) + E^(2 + 2*x)*(-50 - 25*x) + E^(2 + x)*(20 - 90*x - 50*x^2) + E^2*(-2 + 19*x - 40*x^2 - 25*x^3)))/(2 + 50*E^(2*x) - 20*x + 50*x^2 + E^x*(-20 + 100*x)),x]","\exp \left(\frac{1}{4} e^2 \left(4 e^{\frac{1}{-25 x-25 e^x+5}+\frac{4}{5}}-(x+2)^2\right)\right)","e^{e^{\frac{1}{\frac{1}{x+e^x}-5}+3}-e^2 \left(\frac{x}{2}+1\right)^2}",1,"E^((E^2*(4*E^(4/5 + (5 - 25*E^x - 25*x)^(-1)) - (2 + x)^2))/4)","A",1
6420,1,351,30,0.3669772,"\int \left(-14-10 e^{20}-52 x-72 x^2-44 x^3-10 x^4+e^{15} (44+40 x)+e^{10} \left(-72-132 x-60 x^2\right)+e^5 \left(52+144 x+132 x^2+40 x^3\right)+\left(-10-80 x-130 x^2+40 x^3+250 x^4+200 x^5+50 x^6+e^{20} \left(-10+50 x^2\right)+e^{15} \left(40+80 x-200 x^2-200 x^3\right)+e^{10} \left(-60-240 x+120 x^2+600 x^3+300 x^4\right)+e^5 \left(40+240 x+160 x^2-440 x^3-600 x^4-200 x^5\right)\right) \log (x)+\left(75 x^2+75 e^{20} x^2+400 x^3+750 x^4+600 x^5+175 x^6+e^{15} \left(-300 x^2-400 x^3\right)+e^{10} \left(450 x^2+1200 x^3+750 x^4\right)+e^5 \left(-300 x^2-1200 x^3-1500 x^4-600 x^5\right)\right) \log ^2(x)\right) \, dx","Integrate[-14 - 10*E^20 - 52*x - 72*x^2 - 44*x^3 - 10*x^4 + E^15*(44 + 40*x) + E^10*(-72 - 132*x - 60*x^2) + E^5*(52 + 144*x + 132*x^2 + 40*x^3) + (-10 - 80*x - 130*x^2 + 40*x^3 + 250*x^4 + 200*x^5 + 50*x^6 + E^20*(-10 + 50*x^2) + E^15*(40 + 80*x - 200*x^2 - 200*x^3) + E^10*(-60 - 240*x + 120*x^2 + 600*x^3 + 300*x^4) + E^5*(40 + 240*x + 160*x^2 - 440*x^3 - 600*x^4 - 200*x^5))*Log[x] + (75*x^2 + 75*E^20*x^2 + 400*x^3 + 750*x^4 + 600*x^5 + 175*x^6 + E^15*(-300*x^2 - 400*x^3) + E^10*(450*x^2 + 1200*x^3 + 750*x^4) + E^5*(-300*x^2 - 1200*x^3 - 1500*x^4 - 600*x^5))*Log[x]^2,x]","25 x^7 \log ^2(x)-100 e^5 x^6 \log ^2(x)+100 x^6 \log ^2(x)+150 e^{10} x^5 \log ^2(x)-300 e^5 x^5 \log ^2(x)+150 x^5 \log ^2(x)-10 x^5 \log (x)-x^4-100 e^{15} x^4 \log ^2(x)+300 e^{10} x^4 \log ^2(x)-300 e^5 x^4 \log ^2(x)+100 x^4 \log ^2(x)+40 e^5 x^4 \log (x)-40 x^4 \log (x)+4 e^5 x^3-4 x^3+25 e^{20} x^3 \log ^2(x)-100 e^{15} x^3 \log ^2(x)+150 e^{10} x^3 \log ^2(x)-100 e^5 x^3 \log ^2(x)+25 x^3 \log ^2(x)-60 e^{10} x^3 \log (x)+120 e^5 x^3 \log (x)-60 x^3 \log (x)-6 e^{10} x^2+12 e^5 x^2-6 x^2+40 e^{15} x^2 \log (x)-120 e^{10} x^2 \log (x)+120 e^5 x^2 \log (x)-40 x^2 \log (x)+4 e^{15} x-12 e^{10} x+12 e^5 x-4 x-10 e^{20} x \log (x)+40 e^{15} x \log (x)-60 e^{10} x \log (x)+40 e^5 x \log (x)-10 x \log (x)","\frac{\left(-x+e^5-1\right)^4 \left(\left(5 x^2 \log (x)-1\right)^2-x-1\right)}{x}",1,"-4*x + 12*E^5*x - 12*E^10*x + 4*E^15*x - 6*x^2 + 12*E^5*x^2 - 6*E^10*x^2 - 4*x^3 + 4*E^5*x^3 - x^4 - 10*x*Log[x] + 40*E^5*x*Log[x] - 60*E^10*x*Log[x] + 40*E^15*x*Log[x] - 10*E^20*x*Log[x] - 40*x^2*Log[x] + 120*E^5*x^2*Log[x] - 120*E^10*x^2*Log[x] + 40*E^15*x^2*Log[x] - 60*x^3*Log[x] + 120*E^5*x^3*Log[x] - 60*E^10*x^3*Log[x] - 40*x^4*Log[x] + 40*E^5*x^4*Log[x] - 10*x^5*Log[x] + 25*x^3*Log[x]^2 - 100*E^5*x^3*Log[x]^2 + 150*E^10*x^3*Log[x]^2 - 100*E^15*x^3*Log[x]^2 + 25*E^20*x^3*Log[x]^2 + 100*x^4*Log[x]^2 - 300*E^5*x^4*Log[x]^2 + 300*E^10*x^4*Log[x]^2 - 100*E^15*x^4*Log[x]^2 + 150*x^5*Log[x]^2 - 300*E^5*x^5*Log[x]^2 + 150*E^10*x^5*Log[x]^2 + 100*x^6*Log[x]^2 - 100*E^5*x^6*Log[x]^2 + 25*x^7*Log[x]^2","B",1
6421,1,10,10,0.0001203,"\int \frac{25 x}{4 e^6} \, dx","Integrate[(25*x)/(4*E^6),x]","\frac{25 x^2}{8 e^6}","\frac{25 x^2}{8 e^6}",1,"(25*x^2)/(8*E^6)","A",1
6422,1,18,17,0.0052024,"\int \frac{24 x+625 (48+6 x)}{4 x^2+x^3+625 \left(4 x+x^2\right)} \, dx","Integrate[(24*x + 625*(48 + 6*x))/(4*x^2 + x^3 + 625*(4*x + x^2)),x]","6 \left(2 \log (x)-\log \left(x^2+629 x+2500\right)\right)","6 \log \left(\frac{x^2}{(x+4) (x+625)}\right)",1,"6*(2*Log[x] - Log[2500 + 629*x + x^2])","A",1
6423,1,16,20,0.1115762,"\int \frac{-4+5 x+(1-x) \log (4)+\left(-4 x+x^2+x \log (4)\right) \log \left(e^5 \left(-4 x+x^2\right)+e^5 x \log (4)\right)}{-4 x+x^2+x \log (4)} \, dx","Integrate[(-4 + 5*x + (1 - x)*Log[4] + (-4*x + x^2 + x*Log[4])*Log[E^5*(-4*x + x^2) + E^5*x*Log[4]])/(-4*x + x^2 + x*Log[4]),x]","3 x+x \log (x (x-4+\log (4)))+\log (x)","-2 x+x \log \left(e^5 x (x-4+\log (4))\right)+\log (x)+2",1,"3*x + Log[x] + x*Log[x*(-4 + x + Log[4])]","A",1
6424,1,9,9,0.0086889,"\int \frac{6+e^x (-1+x)}{x^2} \, dx","Integrate[(6 + E^x*(-1 + x))/x^2,x]","\frac{e^x-6}{x}","\frac{e^x-6}{x}",1,"(-6 + E^x)/x","A",1
6425,1,29,27,0.020511,"\int \frac{(-150-50 x) \log (3)}{9000+5400 x+900 x^2+\left(600+360 x+60 x^2\right) \log ^2(3)+\left(10+6 x+x^2\right) \log ^4(3)+\left(\left(-600-360 x-60 x^2\right) \log (3)+\left(-20-12 x-2 x^2\right) \log ^3(3)\right) \log \left(10+6 x+x^2\right)+\left(10+6 x+x^2\right) \log ^2(3) \log ^2\left(10+6 x+x^2\right)} \, dx","Integrate[((-150 - 50*x)*Log[3])/(9000 + 5400*x + 900*x^2 + (600 + 360*x + 60*x^2)*Log[3]^2 + (10 + 6*x + x^2)*Log[3]^4 + ((-600 - 360*x - 60*x^2)*Log[3] + (-20 - 12*x - 2*x^2)*Log[3]^3)*Log[10 + 6*x + x^2] + (10 + 6*x + x^2)*Log[3]^2*Log[10 + 6*x + x^2]^2),x]","-\frac{50 \log (3)}{\log (9) \left(-\log (3) \log \left(x^2+6 x+10\right)+30+\log ^2(3)\right)}","\frac{5}{\frac{1}{5} \log (3) (\log ((x+1) (x+5)+5)-\log (3))-6}",1,"(-50*Log[3])/(Log[9]*(30 + Log[3]^2 - Log[3]*Log[10 + 6*x + x^2]))","A",1
6426,1,26,27,0.0393073,"\int \frac{e^{-\frac{3 e^4}{x}} \left(3 e^7+e^{\frac{3 e^4}{x}} \left(2 x+e^{-3+x} \left(2 x^2+2 x^3\right)\right)\right)}{2 x^2} \, dx","Integrate[(3*E^7 + E^((3*E^4)/x)*(2*x + E^(-3 + x)*(2*x^2 + 2*x^3)))/(2*E^((3*E^4)/x)*x^2),x]","e^{x-3} x+\frac{1}{2} e^{3-\frac{3 e^4}{x}}+\log (x)","e^{x-3} x+\frac{1}{2} e^{3-\frac{3 e^4}{x}}+\log (x)+4",1,"E^(3 - (3*E^4)/x)/2 + E^(-3 + x)*x + Log[x]","A",1
6427,1,12,13,0.014218,"\int \frac{-1+(1-2 x) \log (x) \log (\log (x))}{x \log (x) \log (\log (x))} \, dx","Integrate[(-1 + (1 - 2*x)*Log[x]*Log[Log[x]])/(x*Log[x]*Log[Log[x]]),x]","-2 x+\log (x)-\log (\log (\log (x)))","\log \left(\frac{e^{-2 x} x}{\log (\log (x))}\right)",1,"-2*x + Log[x] - Log[Log[Log[x]]]","A",1
6428,1,28,28,0.1431511,"\int \frac{\left(-4 x^2+x \log ^2(2)\right) \log (x)+e^{5+\log ^2\left(\frac{3}{\log (x)}\right)} \left(16 x \log (x)+\left(-32 x+8 \log ^2(2)\right) \log \left(\frac{1}{4} \left(4 x-\log ^2(2)\right)\right) \log \left(\frac{3}{\log (x)}\right)\right)}{\left(-4 x^2+x \log ^2(2)\right) \log (x)} \, dx","Integrate[((-4*x^2 + x*Log[2]^2)*Log[x] + E^(5 + Log[3/Log[x]]^2)*(16*x*Log[x] + (-32*x + 8*Log[2]^2)*Log[(4*x - Log[2]^2)/4]*Log[3/Log[x]]))/((-4*x^2 + x*Log[2]^2)*Log[x]),x]","x-4 e^{\log ^2\left(\frac{3}{\log (x)}\right)+5} \log \left(x-\frac{\log ^2(2)}{4}\right)","x-4 e^{\log ^2\left(\frac{3}{\log (x)}\right)+5} \log \left(x-\frac{\log ^2(2)}{4}\right)",1,"x - 4*E^(5 + Log[3/Log[x]]^2)*Log[x - Log[2]^2/4]","A",1
6429,1,27,27,0.3333044,"\int \frac{e^{-2 x} \left(\left(-5+6 x-8 x^2\right) \log ^3(x)+e^{\frac{9}{\log ^2(x)}} \left(18 x+\left(-2 x+2 x^2\right) \log ^3(x)\right)\right)}{4 \log ^3(x)} \, dx","Integrate[((-5 + 6*x - 8*x^2)*Log[x]^3 + E^(9/Log[x]^2)*(18*x + (-2*x + 2*x^2)*Log[x]^3))/(4*E^(2*x)*Log[x]^3),x]","\frac{1}{4} e^{-2 x} \left(-\left(x^2 \left(e^{\frac{9}{\log ^2(x)}}-4\right)\right)+x+3\right)","\frac{1}{4} e^{-2 x} \left(-\left(x^2 \left(e^{\frac{9}{\log ^2(x)}}-4\right)\right)+x+3\right)",1,"(3 + x - (-4 + E^(9/Log[x]^2))*x^2)/(4*E^(2*x))","A",1
6430,1,27,27,0.0263413,"\int \frac{x+x^2+10 x^3+e^{2 e^5} \left(-5-x^2\right)}{x^2} \, dx","Integrate[(x + x^2 + 10*x^3 + E^(2*E^5)*(-5 - x^2))/x^2,x]","e^{2 e^5} \left(\frac{5}{x}-x\right)+x (5 x+1)+\log (x)","5 x^2+x+e^{2 e^5} \left(\frac{5}{x}-x\right)+\log (x)-5",1,"E^(2*E^5)*(5/x - x) + x*(1 + 5*x) + Log[x]","A",1
6431,1,29,27,1.3081084,"\int \frac{-640 x^2+210 x^4-10 x^6+\left(160 x^2-20 x^4\right) \log (2)-10 x^2 \log ^2(2)+\left(-5120 x-1280 x^2+80 x^5+20 x^6+\left(1280 x+320 x^2\right) \log (2)+\left(-80 x-20 x^2\right) \log ^2(2)\right) \log (4+x)}{16384+4096 x-10752 x^2-2688 x^3+2276 x^4+569 x^5-168 x^6-42 x^7+4 x^8+x^9+\left(-8192-2048 x+3712 x^2+928 x^3-464 x^4-116 x^5+16 x^6+4 x^7\right) \log (2)+\left(1536+384 x-424 x^2-106 x^3+24 x^4+6 x^5\right) \log ^2(2)+\left(-128-32 x+16 x^2+4 x^3\right) \log ^3(2)+(4+x) \log ^4(2)} \, dx","Integrate[(-640*x^2 + 210*x^4 - 10*x^6 + (160*x^2 - 20*x^4)*Log[2] - 10*x^2*Log[2]^2 + (-5120*x - 1280*x^2 + 80*x^5 + 20*x^6 + (1280*x + 320*x^2)*Log[2] + (-80*x - 20*x^2)*Log[2]^2)*Log[4 + x])/(16384 + 4096*x - 10752*x^2 - 2688*x^3 + 2276*x^4 + 569*x^5 - 168*x^6 - 42*x^7 + 4*x^8 + x^9 + (-8192 - 2048*x + 3712*x^2 + 928*x^3 - 464*x^4 - 116*x^5 + 16*x^6 + 4*x^7)*Log[2] + (1536 + 384*x - 424*x^2 - 106*x^3 + 24*x^4 + 6*x^5)*Log[2]^2 + (-128 - 32*x + 16*x^2 + 4*x^3)*Log[2]^3 + (4 + x)*Log[2]^4),x]","-\frac{10 x^2 \log (x+4)}{x^4+x^2 (\log (4)-21)+(\log (2)-8)^2}","\frac{10 \log (x+4)}{5-\left(x-\frac{8-\log (2)}{x}\right)^2}",1,"(-10*x^2*Log[4 + x])/(x^4 + (-8 + Log[2])^2 + x^2*(-21 + Log[4]))","A",1
6432,1,32,34,0.3333195,"\int \frac{\left(-5400+2160 x^3-216 x^6+e^{e^{\frac{x}{-20+4 x^3}}} \left(200-80 x^3+8 x^6\right)\right) \log \left(\frac{1}{5} \left(27-e^{e^{\frac{x}{-20+4 x^3}}}\right)\right)+e^{e^{\frac{x}{-20+4 x^3}}+\frac{x}{-20+4 x^3}} \left(5 x+2 x^4\right) \log \left(x^2\right)}{\left(-2700 x+1080 x^4-108 x^7+e^{e^{\frac{x}{-20+4 x^3}}} \left(100 x-40 x^4+4 x^7\right)\right) \log ^2\left(\frac{1}{5} \left(27-e^{e^{\frac{x}{-20+4 x^3}}}\right)\right)} \, dx","Integrate[((-5400 + 2160*x^3 - 216*x^6 + E^E^(x/(-20 + 4*x^3))*(200 - 80*x^3 + 8*x^6))*Log[(27 - E^E^(x/(-20 + 4*x^3)))/5] + E^(E^(x/(-20 + 4*x^3)) + x/(-20 + 4*x^3))*(5*x + 2*x^4)*Log[x^2])/((-2700*x + 1080*x^4 - 108*x^7 + E^E^(x/(-20 + 4*x^3))*(100*x - 40*x^4 + 4*x^7))*Log[(27 - E^E^(x/(-20 + 4*x^3)))/5]^2),x]","\frac{\log \left(x^2\right)}{\log \left(\frac{1}{5} \left(27-e^{e^{\frac{x}{4 \left(x^3-5\right)}}}\right)\right)}","\frac{\log \left(x^2\right)}{\log \left(\frac{1}{5} \left(2-e^{e^{\frac{x}{4 \left(x^3-5\right)}}}\right)+5\right)}",1,"Log[x^2]/Log[(27 - E^E^(x/(4*(-5 + x^3))))/5]","A",1
6433,1,12,14,0.0027358,"\int -\frac{1}{e^6 \left(-1152+2880 x-2880 x^2+1440 x^3-360 x^4+36 x^5\right)} \, dx","Integrate[-(1/(E^6*(-1152 + 2880*x - 2880*x^2 + 1440*x^3 - 360*x^4 + 36*x^5))),x]","\frac{1}{144 e^6 (x-2)^4}","\frac{1}{9 e^6 (2 x-4)^4}",1,"1/(144*E^6*(-2 + x)^4)","A",1
6434,1,20,21,0.0178387,"\int \left(2+50 x+e^{4+2 x^2} \left(1+4 x^2\right)\right) \, dx","Integrate[2 + 50*x + E^(4 + 2*x^2)*(1 + 4*x^2),x]","25 x^2+e^{2 x^2+4} x+2 x","25 x^2+e^{2 x^2+4} x+2 x+5",1,"2*x + E^(4 + 2*x^2)*x + 25*x^2","A",1
6435,1,60,29,0.0316435,"\int \frac{37375-24500 x+4802 x^2+\left(74875-49500 x+9800 x^2\right) \log (4)+\left(37500-25000 x+5000 x^2\right) \log ^2(4)}{15625-12250 x+2401 x^2+\left(31250-24750 x+4900 x^2\right) \log (4)+\left(15625-12500 x+2500 x^2\right) \log ^2(4)} \, dx","Integrate[(37375 - 24500*x + 4802*x^2 + (74875 - 49500*x + 9800*x^2)*Log[4] + (37500 - 25000*x + 5000*x^2)*Log[4]^2)/(15625 - 12250*x + 2401*x^2 + (31250 - 24750*x + 4900*x^2)*Log[4] + (15625 - 12500*x + 2500*x^2)*Log[4]^2),x]","\frac{2 (x (49+50 \log (4))-125 (1+\log (4)))^2-125 \left(49+50 \log ^2(4)+99 \log (4)\right)}{(49+50 \log (4)) (x (49+50 \log (4))-125 (1+\log (4)))}","2 x-\frac{x}{x+\frac{5}{\frac{4}{25 (4+4 \log (4))}-2}}",1,"(-125*(49 + 99*Log[4] + 50*Log[4]^2) + 2*(-125*(1 + Log[4]) + x*(49 + 50*Log[4]))^2)/((49 + 50*Log[4])*(-125*(1 + Log[4]) + x*(49 + 50*Log[4])))","B",1
6436,1,18,19,0.0113846,"\int \frac{-72+2 e^{e^x+x} x^7-25 x^8}{2 x^7} \, dx","Integrate[(-72 + 2*E^(E^x + x)*x^7 - 25*x^8)/(2*x^7),x]","\frac{6}{x^6}-\frac{25 x^2}{4}+e^{e^x}","\frac{6}{x^6}-\frac{25 x^2}{4}+e^{e^x}+1",1,"E^E^x + 6/x^6 - (25*x^2)/4","A",1
6437,1,23,22,0.2118318,"\int \frac{e^{-x^2} \left(8 e^{x^2}+3 x-3 x^3\right)}{2 \log \left(e^{-1+\frac{1}{4} e^{-x^2} \left(16 e^{x^2} x+3 x^2\right)}\right)} \, dx","Integrate[(8*E^x^2 + 3*x - 3*x^3)/(2*E^x^2*Log[E^(-1 + (16*E^x^2*x + 3*x^2)/(4*E^x^2))]),x]","\log \left(\log \left(e^{\frac{3}{4} e^{-x^2} x^2+4 x-1}\right)\right)","\log \left(\log \left(e^{x \left(\frac{3}{4} e^{-x^2} x+4\right)-1}\right)\right)",1,"Log[Log[E^(-1 + 4*x + (3*x^2)/(4*E^x^2))]]","A",1
6438,1,32,20,0.0043948,"\int \frac{-4-e^5+e^7 (20+40 x)}{4+e^5} \, dx","Integrate[(-4 - E^5 + E^7*(20 + 40*x))/(4 + E^5),x]","-\frac{-20 e^7 x^2-20 e^7 x+e^5 x+4 x}{4+e^5}","\frac{20 e^7 x (x+1)}{4+e^5}-x",1,"-((4*x + E^5*x - 20*E^7*x - 20*E^7*x^2)/(4 + E^5))","A",1
6439,1,21,21,0.098621,"\int \frac{21 x+4 x^2+e^{1+e^4+2 x} \left(10+22 x+4 x^2\right)+(5+x) \log (5+x)}{5+x} \, dx","Integrate[(21*x + 4*x^2 + E^(1 + E^4 + 2*x)*(10 + 22*x + 4*x^2) + (5 + x)*Log[5 + x])/(5 + x),x]","x \left(2 \left(x+e^{2 x+e^4+1}\right)+\log (x+5)\right)","x \left(2 \left(x+e^{2 x+e^4+1}\right)+\log (x+5)\right)",1,"x*(2*(E^(1 + E^4 + 2*x) + x) + Log[5 + x])","A",1
6440,1,21,19,0.0280985,"\int \frac{-32+e^{2 x} (-2+4 x)+e^x \left(20-20 x-2 x^2\right)}{x^2} \, dx","Integrate[(-32 + E^(2*x)*(-2 + 4*x) + E^x*(20 - 20*x - 2*x^2))/x^2,x]","-\frac{2 \left(e^x (x+10)-e^{2 x}-16\right)}{x}","\frac{\left(4-2 e^x\right) \left(x-e^x+8\right)}{x}",1,"(-2*(-16 - E^(2*x) + E^x*(10 + x)))/x","A",1
6441,1,34,29,0.6027532,"\int \frac{-7+10 e^x+5 e^{2 x}+15 x-6 x^2+(-4+4 x) \log (2 x)}{-5 e^{2 x}+3 x-10 e^x x-6 x^2+4 x \log (2 x)} \, dx","Integrate[(-7 + 10*E^x + 5*E^(2*x) + 15*x - 6*x^2 + (-4 + 4*x)*Log[2*x])/(-5*E^(2*x) + 3*x - 10*E^x*x - 6*x^2 + 4*x*Log[2*x]),x]","x-\log \left(6 x^2+10 e^x x-3 x+5 e^{2 x}-4 x \log (2 x)\right)","x-\log \left(\left(x+e^x\right)^2-\frac{1}{5} x (-x+4 \log (2 x)+3)\right)",1,"x - Log[5*E^(2*x) - 3*x + 10*E^x*x + 6*x^2 - 4*x*Log[2*x]]","A",1
6442,1,27,26,0.0106168,"\int \frac{12 x^4+24 x^5-4 e x^5+4 \log (2)}{3 x^2} \, dx","Integrate[(12*x^4 + 24*x^5 - 4*E*x^5 + 4*Log[2])/(3*x^2),x]","\frac{4}{3} \left(\frac{1}{4} (6-e) x^4+x^3-\frac{\log (2)}{x}\right)","\frac{1}{3} (-((e-5) x)+x+4) \left(x^3-\frac{\log (2)}{x}\right)-1",1,"(4*(x^3 + ((6 - E)*x^4)/4 - Log[2]/x))/3","A",1
6443,1,17,21,0.435281,"\int \frac{-4 x+(-2+x) \log \left(\frac{5}{e^2}\right)+x \log \left(\frac{5}{e^2}\right) \log (x)}{\left(-4 x^2+\left(-2 x+x^2\right) \log \left(\frac{5}{e^2}\right) \log (x)\right) \log \left(\frac{1}{4} \left(4 x+(2-x) \log \left(\frac{5}{e^2}\right) \log (x)\right)\right)} \, dx","Integrate[(-4*x + (-2 + x)*Log[5/E^2] + x*Log[5/E^2]*Log[x])/((-4*x^2 + (-2*x + x^2)*Log[5/E^2]*Log[x])*Log[(4*x + (2 - x)*Log[5/E^2]*Log[x])/4]),x]","\log \left(\log \left(x-\frac{1}{4} (x-2) (\log (5)-2) \log (x)\right)\right)","\log \left(\log \left(x+\frac{1}{4} (2-x) \log \left(\frac{5}{e^2}\right) \log (x)\right)\right)",1,"Log[Log[x - ((-2 + x)*(-2 + Log[5])*Log[x])/4]]","A",1
6444,1,21,21,0.0768783,"\int \frac{\left(\frac{139}{12}\right)^{\frac{1}{\log (5)}} (1-\log (x)) \left(-\frac{\log (x)}{x}\right)^{\frac{1}{\log (5)}}}{x \log (5) \log (x)} \, dx","Integrate[((139/12)^Log[5]^(-1)*(1 - Log[x])*(-(Log[x]/x))^Log[5]^(-1))/(x*Log[5]*Log[x]),x]","\left(\frac{139}{12}\right)^{\frac{1}{\log (5)}} \left(-\frac{\log (x)}{x}\right)^{\frac{1}{\log (5)}}","\left(\frac{139}{12}\right)^{\frac{1}{\log (5)}} \left(-\frac{\log (x)}{x}\right)^{\frac{1}{\log (5)}}",1,"(139/12)^Log[5]^(-1)*(-(Log[x]/x))^Log[5]^(-1)","A",1
6445,1,24,24,0.0253585,"\int \frac{-e^4+e^x (-1+x)-4 x^2+3072 x^4}{4 x^2} \, dx","Integrate[(-E^4 + E^x*(-1 + x) - 4*x^2 + 3072*x^4)/(4*x^2),x]","\frac{1024 x^4-4 x^2+e^x+e^4}{4 x}","256 x^3-x+\frac{e^x+e^4}{4 x}-2",1,"(E^4 + E^x - 4*x^2 + 1024*x^4)/(4*x)","A",1
6446,1,22,25,0.2311335,"\int \frac{192+3 e^{2 x}-112 x+12 x^2+4 x \log (5)+e^x \left(-48-6 x+2 x^2+2 x \log (5)\right)}{64 x+e^{2 x} x-32 x^2+4 x^3+e^x \left(-16 x+4 x^2\right)} \, dx","Integrate[(192 + 3*E^(2*x) - 112*x + 12*x^2 + 4*x*Log[5] + E^x*(-48 - 6*x + 2*x^2 + 2*x*Log[5]))/(64*x + E^(2*x)*x - 32*x^2 + 4*x^3 + E^x*(-16*x + 4*x^2)),x]","3 \log (x)-\frac{2 (x-8+\log (5))}{2 x+e^x-8}","\frac{x-8+\log (5)}{-x-\frac{e^x}{2}+4}+3 \log (x)",1,"(-2*(-8 + x + Log[5]))/(-8 + E^x + 2*x) + 3*Log[x]","A",1
6447,1,36,27,0.0534081,"\int \frac{-10368 e^{\frac{108}{e^2 x^2}}-1152 e^{\frac{144}{e^2 x^2}}+e^2 \left(-108 x^3+162 x^4-36 x^5+16 x^6\right)+e^{\frac{72}{e^2 x^2}} \left(-31104+1728 x-1152 x^2+e^2 \left(-12 x^3+16 x^4\right)\right)+e^{\frac{36}{e^2 x^2}} \left(-31104+5184 x-3456 x^2+e^2 \left(-72 x^3+96 x^4\right)\right)}{e^2 x^3} \, dx","Integrate[(-10368*E^(108/(E^2*x^2)) - 1152*E^(144/(E^2*x^2)) + E^2*(-108*x^3 + 162*x^4 - 36*x^5 + 16*x^6) + E^(72/(E^2*x^2))*(-31104 + 1728*x - 1152*x^2 + E^2*(-12*x^3 + 16*x^4)) + E^(36/(E^2*x^2))*(-31104 + 5184*x - 3456*x^2 + E^2*(-72*x^3 + 96*x^4)))/(E^2*x^3),x]","\left(2 x^2+12 e^{\frac{36}{e^2 x^2}}+2 e^{\frac{72}{e^2 x^2}}-3 x+18\right)^2","\left(x-2 \left(\left(e^{\frac{36}{e^2 x^2}}+3\right)^2+x^2-x\right)\right)^2",1,"(18 + 12*E^(36/(E^2*x^2)) + 2*E^(72/(E^2*x^2)) - 3*x + 2*x^2)^2","A",1
6448,1,109,18,0.0428716,"\int \frac{3 x^4+\left(2-6 x^3\right) \log (4)+3 x^2 \log ^2(4)}{-2 x^2+x^5+\left(2 x-2 x^4\right) \log (4)+x^3 \log ^2(4)} \, dx","Integrate[(3*x^4 + (2 - 6*x^3)*Log[4] + 3*x^2*Log[4]^2)/(-2*x^2 + x^5 + (2*x - 2*x^4)*Log[4] + x^3*Log[4]^2),x]","\text{RootSum}\left[\text{$\#$1}^4-2 \text{$\#$1}^3 \log (4)+\text{$\#$1}^2 \log ^2(4)-2 \text{$\#$1}+\log (16)\&,\frac{\text{$\#$1}^3 \log (x-\text{$\#$1})-2 \text{$\#$1}^2 \log (4) \log (x-\text{$\#$1})+\text{$\#$1} \log ^2(4) \log (x-\text{$\#$1})+\log (x-\text{$\#$1})}{2 \text{$\#$1}^3-3 \text{$\#$1}^2 \log (4)+\text{$\#$1} \log ^2(4)-1}\&\right]+\log (x)","\log \left(30 x \left(x^2+\frac{2}{\log (4)-x}\right)\right)",1,"Log[x] + RootSum[Log[16] - 2*#1 + Log[4]^2*#1^2 - 2*Log[4]*#1^3 + #1^4 & , (Log[x - #1] + Log[4]^2*Log[x - #1]*#1 - 2*Log[4]*Log[x - #1]*#1^2 + Log[x - #1]*#1^3)/(-1 + Log[4]^2*#1 - 3*Log[4]*#1^2 + 2*#1^3) & ]","C",1
6449,1,18,19,0.001504,"\int \frac{1}{9} \left(-8 x-6 x^2\right) \log ^2(\log (5)) \, dx","Integrate[((-8*x - 6*x^2)*Log[Log[5]]^2)/9,x]","-\frac{2}{9} \left(x^3+2 x^2\right) \log ^2(\log (5))","\frac{1}{9} (-2 x-4) x^2 \log ^2(\log (5))-3",1,"(-2*(2*x^2 + x^3)*Log[Log[5]]^2)/9","A",1
6450,1,21,20,0.0754129,"\int \left(3+e^{4 x+4 x^2+x^3} \left(12+24 x+9 x^2\right)\right) \, dx","Integrate[3 + E^(4*x + 4*x^2 + x^3)*(12 + 24*x + 9*x^2),x]","3 x+3 e^{(x+2)^3-2 (x+2)^2}","3 e^{(x+3) \left(x^2+x\right)+x}+3 x+51",1,"3*E^(-2*(2 + x)^2 + (2 + x)^3) + 3*x","A",1
6451,1,17,19,0.2993151,"\int \frac{e^x (5+x)+\left(6+x+e^x (6+x)\right) \log \left(3+3 e^x\right)}{\left(5+x+e^x (5+x)\right) \log \left(3+3 e^x\right) \log \left(e^x (5+x) \log \left(3+3 e^x\right)\right)} \, dx","Integrate[(E^x*(5 + x) + (6 + x + E^x*(6 + x))*Log[3 + 3*E^x])/((5 + x + E^x*(5 + x))*Log[3 + 3*E^x]*Log[E^x*(5 + x)*Log[3 + 3*E^x]]),x]","\log \left(\log \left(e^x (x+5) \log \left(3 \left(e^x+1\right)\right)\right)\right)","\log \left(5 \log \left(e^x (x+5) \log \left(3 \left(e^x+1\right)\right)\right)\right)",1,"Log[Log[E^x*(5 + x)*Log[3*(1 + E^x)]]]","A",1
6452,1,26,24,0.098242,"\int \frac{e^x \left(1792-832 x+80 x^2+4 x^3+e^4 \left(-8 x-3 x^2+x^3\right)\right)}{64-32 x+4 x^2} \, dx","Integrate[(E^x*(1792 - 832*x + 80*x^2 + 4*x^3 + E^4*(-8*x - 3*x^2 + x^3)))/(64 - 32*x + 4*x^2),x]","\frac{e^x \left(\left(4+e^4\right) x^2+92 x-432\right)}{4 (x-4)}","e^x \left(-\frac{e^4 x^2}{4 (4-x)}+x+27\right)",1,"(E^x*(-432 + 92*x + (4 + E^4)*x^2))/(4*(-4 + x))","A",1
6453,1,29,25,0.4870129,"\int \frac{-102-426 x-585 x^2-301 x^3-65 x^4-5 x^5+\left(10+12 x+7 x^2+x^3\right) \log (5+x)}{100+420 x+580 x^2+300 x^3+65 x^4+5 x^5} \, dx","Integrate[(-102 - 426*x - 585*x^2 - 301*x^3 - 65*x^4 - 5*x^5 + (10 + 12*x + 7*x^2 + x^3)*Log[5 + x])/(100 + 420*x + 580*x^2 + 300*x^3 + 65*x^4 + 5*x^5),x]","\frac{1}{5} \left(-\frac{(x+1) \log (x+5)}{x^2+4 x+2}-5 (x+5)\right)","-x+\frac{\log (x+5)}{5 \left(-x+\frac{1}{x+1}-3\right)}+5",1,"(-5*(5 + x) - ((1 + x)*Log[5 + x])/(2 + 4*x + x^2))/5","A",1
6454,1,24,24,0.0026491,"\int \frac{-300-750 x-900 \log \left(\frac{x^2}{3}\right)}{x^3} \, dx","Integrate[(-300 - 750*x - 900*Log[x^2/3])/x^3,x]","\frac{600}{x^2}+\frac{450 \log \left(\frac{x^2}{3}\right)}{x^2}+\frac{750}{x}","\frac{150 \left(3 \left(x^2+\log \left(\frac{x^2}{3}\right)\right)+5 x+4\right)}{x^2}",1,"600/x^2 + 750/x + (450*Log[x^2/3])/x^2","A",1
6455,1,23,27,3.1173739,"\int \frac{375000-6937500 x+52250000 x^2-201000000 x^3+396000000 x^4-320000000 x^5}{-x^5-x^6+\left(-25 x^4+75 x^5+100 x^6\right) \log (1+x)+\left(-250 x^3+1750 x^4-2000 x^5-4000 x^6\right) \log ^2(1+x)+\left(-1250 x^2+13750 x^3-45000 x^4+20000 x^5+80000 x^6\right) \log ^3(1+x)+\left(-3125 x+46875 x^2-250000 x^3+500000 x^4-800000 x^6\right) \log ^4(1+x)+\left(-3125+59375 x-437500 x^2+1500000 x^3-2000000 x^4-800000 x^5+3200000 x^6\right) \log ^5(1+x)} \, dx","Integrate[(375000 - 6937500*x + 52250000*x^2 - 201000000*x^3 + 396000000*x^4 - 320000000*x^5)/(-x^5 - x^6 + (-25*x^4 + 75*x^5 + 100*x^6)*Log[1 + x] + (-250*x^3 + 1750*x^4 - 2000*x^5 - 4000*x^6)*Log[1 + x]^2 + (-1250*x^2 + 13750*x^3 - 45000*x^4 + 20000*x^5 + 80000*x^6)*Log[1 + x]^3 + (-3125*x + 46875*x^2 - 250000*x^3 + 500000*x^4 - 800000*x^6)*Log[1 + x]^4 + (-3125 + 59375*x - 437500*x^2 + 1500000*x^3 - 2000000*x^4 - 800000*x^5 + 3200000*x^6)*Log[1 + x]^5),x]","\frac{15625 (1-4 x)^4}{(x+(5-20 x) \log (x+1))^4}","\frac{25}{\left(\log (x+1)-\frac{x^2}{5 \left(4 x^2-x\right)}\right)^4}",1,"(15625*(1 - 4*x)^4)/(x + (5 - 20*x)*Log[1 + x])^4","A",1
6456,1,28,30,0.0926787,"\int \frac{6+39 x+6 x^2+\left(76+62 x+12 x^2\right) \log \left(\frac{2+x}{3}\right)+\log (2 x) \left(2 x+(4+2 x) \log \left(\frac{2+x}{3}\right)\right)}{12+6 x} \, dx","Integrate[(6 + 39*x + 6*x^2 + (76 + 62*x + 12*x^2)*Log[(2 + x)/3] + Log[2*x]*(2*x + (4 + 2*x)*Log[(2 + x)/3]))/(12 + 6*x),x]","\frac{1}{6} \left(3 x+2 x (3 x+\log (2 x)+18) \log \left(\frac{x+2}{3}\right)\right)","\frac{x}{2}+\left(x+x \left(x+\frac{1}{3} \log (2 x)+5\right)\right) \log \left(\frac{x+2}{3}\right)",1,"(3*x + 2*x*(18 + 3*x + Log[2*x])*Log[(2 + x)/3])/6","A",1
6457,1,12,12,0.0046166,"\int -\frac{1}{2} e^{5+\frac{1}{2} \left(2-e^5 x\right)} \, dx","Integrate[-1/2*E^(5 + (2 - E^5*x)/2),x]","e^{1-\frac{e^5 x}{2}}","e^{1-\frac{e^5 x}{2}}",1,"E^(1 - (E^5*x)/2)","A",1
6458,1,27,27,0.0528531,"\int \frac{e^{3 x} \left(3+15 x+12 x^2\right)+e^{2 x} \left(-4-x+14 x^2+8 x^3+e^3 \left(2+10 x+8 x^2\right)\right)+e^{2 x} \left(-2-10 x-8 x^2\right) \log \left(1+5 x+4 x^2\right)}{1+5 x+4 x^2} \, dx","Integrate[(E^(3*x)*(3 + 15*x + 12*x^2) + E^(2*x)*(-4 - x + 14*x^2 + 8*x^3 + E^3*(2 + 10*x + 8*x^2)) + E^(2*x)*(-2 - 10*x - 8*x^2)*Log[1 + 5*x + 4*x^2])/(1 + 5*x + 4*x^2),x]","e^{2 x} \left(-\log \left(4 x^2+5 x+1\right)+x+e^x+e^3\right)","e^{2 x} \left(-\log \left(4 x^2+5 x+1\right)+x+e^x+e^3\right)",1,"E^(2*x)*(E^3 + E^x + x - Log[1 + 5*x + 4*x^2])","A",1
6459,1,72,33,0.087795,"\int \frac{28080-18720 e^8 x+4320 e^{16} x^2+e^x \left(-18720-18720 x+e^8 \left(12480 x+14880 x^2\right)+e^{16} \left(-2880 x^2-2880 x^3\right)\right)+e^{2 x} \left(3120+6240 x+e^8 \left(-2080 x-4960 x^2\right)+e^{16} \left(480 x^2+960 x^3\right)\right)}{169-156 e^8 x+36 e^{16} x^2} \, dx","Integrate[(28080 - 18720*E^8*x + 4320*E^16*x^2 + E^x*(-18720 - 18720*x + E^8*(12480*x + 14880*x^2) + E^16*(-2880*x^2 - 2880*x^3)) + E^(2*x)*(3120 + 6240*x + E^8*(-2080*x - 4960*x^2) + E^16*(480*x^2 + 960*x^3)))/(169 - 156*E^8*x + 36*E^16*x^2),x]","\frac{80 \left(24 e^{x+16} x^2-4 e^{2 x+16} x^2-36 e^{16} x^2-72 e^{x+8} x+12 e^{2 x+8} x+78 e^8 x+65\right)}{52 e^8-24 e^{16} x}","\frac{16 \left(e^x-3\right)^2 x^2}{\frac{6 x}{5}-\frac{x}{3-e^8 x}}",1,"(80*(65 + 78*E^8*x - 72*E^(8 + x)*x + 12*E^(8 + 2*x)*x - 36*E^16*x^2 + 24*E^(16 + x)*x^2 - 4*E^(16 + 2*x)*x^2))/(52*E^8 - 24*E^16*x)","B",1
6460,1,15,15,0.1401813,"\int \frac{-x+(4+x+\log (4)) \log \left(\frac{4+x+\log (4)}{\log (2)}\right)}{(4+x+\log (4)) \log ^2\left(\frac{4+x+\log (4)}{\log (2)}\right)} \, dx","Integrate[(-x + (4 + x + Log[4])*Log[(4 + x + Log[4])/Log[2]])/((4 + x + Log[4])*Log[(4 + x + Log[4])/Log[2]]^2),x]","\frac{x}{\log \left(\frac{x+4+\log (4)}{\log (2)}\right)}","\frac{x}{\log \left(\frac{x+4+\log (4)}{\log (2)}\right)}",1,"x/Log[(4 + x + Log[4])/Log[2]]","A",1
6461,1,48,15,0.0412492,"\int \frac{7040+4096 x+810 x^2+67 x^3+2 x^4+e^9 (7+2 x)+e^6 \left(210+81 x+6 x^2\right)+e^3 \left(2104+1020 x+141 x^2+6 x^3\right)}{1000+e^9+300 x+30 x^2+x^3+e^6 (30+3 x)+e^3 \left(300+60 x+3 x^2\right)} \, dx","Integrate[(7040 + 4096*x + 810*x^2 + 67*x^3 + 2*x^4 + E^9*(7 + 2*x) + E^6*(210 + 81*x + 6*x^2) + E^3*(2104 + 1020*x + 141*x^2 + 6*x^3))/(1000 + E^9 + 300*x + 30*x^2 + x^3 + E^6*(30 + 3*x) + E^3*(300 + 60*x + 3*x^2)),x]","\left(x+e^3+10\right)^2+\left(-13-2 e^3\right) \left(x+e^3+10\right)+\frac{4}{x+e^3+10}-\frac{4 \left(10+e^3\right)}{\left(x+e^3+10\right)^2}","x \left(x+\frac{4}{\left(x+e^3+10\right)^2}+7\right)",1,"(-4*(10 + E^3))/(10 + E^3 + x)^2 + 4/(10 + E^3 + x) + (-13 - 2*E^3)*(10 + E^3 + x) + (10 + E^3 + x)^2","B",1
6462,1,16,18,0.123969,"\int \left(e^3+e^{x+4 e^x x} \left(1+e^x (4+4 x)\right)\right) \, dx","Integrate[E^3 + E^(x + 4*E^x*x)*(1 + E^x*(4 + 4*x)),x]","e^3 x+e^{4 e^x x+x}","e^3 (x+5)+e^{4 e^x x+x}",1,"E^(x + 4*E^x*x) + E^3*x","A",1
6463,1,51,33,0.2571531,"\int \frac{128 x^2+32 x^3-2 x^5+e^4 \left(-64 x^2-32 x^3+4 x^4-2 x^5\right)+e^{14} \left(32+8 x+e^4 \left(-16-8 x+x^2\right)\right)+e^7 \left(128 x+32 x^2-2 x^4+e^4 \left(-64 x-32 x^2+4 x^3-x^4\right)\right)+\left(-64 x^2-32 x^3+4 x^4-2 x^5+e^{14} \left(-16-8 x+x^2\right)+e^7 \left(-64 x-32 x^2+4 x^3-x^4\right)\right) \log \left(\frac{-32 x-16 x^2+2 x^3-x^4+e^7 \left(-16-8 x+x^2\right)}{e^7 x^2+2 x^3}\right)}{-64 x^2-32 x^3+4 x^4-2 x^5+e^{14} \left(-16-8 x+x^2\right)+e^7 \left(-64 x-32 x^2+4 x^3-x^4\right)} \, dx","Integrate[(128*x^2 + 32*x^3 - 2*x^5 + E^4*(-64*x^2 - 32*x^3 + 4*x^4 - 2*x^5) + E^14*(32 + 8*x + E^4*(-16 - 8*x + x^2)) + E^7*(128*x + 32*x^2 - 2*x^4 + E^4*(-64*x - 32*x^2 + 4*x^3 - x^4)) + (-64*x^2 - 32*x^3 + 4*x^4 - 2*x^5 + E^14*(-16 - 8*x + x^2) + E^7*(-64*x - 32*x^2 + 4*x^3 - x^4))*Log[(-32*x - 16*x^2 + 2*x^3 - x^4 + E^7*(-16 - 8*x + x^2))/(E^7*x^2 + 2*x^3)])/(-64*x^2 - 32*x^3 + 4*x^4 - 2*x^5 + E^14*(-16 - 8*x + x^2) + E^7*(-64*x - 32*x^2 + 4*x^3 - x^4)),x]","x \log \left(\frac{e^7 \left(x^2-8 x-16\right)-x \left(x^3-2 x^2+16 x+32\right)}{x^2 \left(2 x+e^7\right)}\right)+e^4 x","x \left(\log \left(-\frac{(x+4)^2}{x^2}-\frac{x}{\frac{e^7}{x}+2}+2\right)+e^4\right)",1,"E^4*x + x*Log[(E^7*(-16 - 8*x + x^2) - x*(32 + 16*x - 2*x^2 + x^3))/(x^2*(E^7 + 2*x))]","A",1
6464,1,42,31,0.1851405,"\int \frac{-80 e^2-64 x+e^x \left(8 x^3+4 x^4+e^2 \left(4 x^2+4 x^3\right)\right)+\left(144 e^2+136 x+e^x \left(-6 x^3-4 x^4+e^2 \left(-4 x^2-4 x^3\right)\right)\right) \log \left(e^2+x\right)+\left(-100 e^2-100 x+e^x \left(x^3+x^4+e^2 \left(x^2+x^3\right)\right)\right) \log ^2\left(e^2+x\right)+\left(32 e^2+32 x\right) \log ^3\left(e^2+x\right)+\left(-4 e^2-4 x\right) \log ^4\left(e^2+x\right)}{400 e^2+400 x+e^x \left(40 e^2 x^2+40 x^3\right)+e^{2 x} \left(e^2 x^4+x^5\right)+\left(-640 e^2-640 x+e^x \left(-32 e^2 x^2-32 x^3\right)\right) \log \left(e^2+x\right)+\left(416 e^2+416 x+e^x \left(8 e^2 x^2+8 x^3\right)\right) \log ^2\left(e^2+x\right)+\left(-128 e^2-128 x\right) \log ^3\left(e^2+x\right)+\left(16 e^2+16 x\right) \log ^4\left(e^2+x\right)} \, dx","Integrate[(-80*E^2 - 64*x + E^x*(8*x^3 + 4*x^4 + E^2*(4*x^2 + 4*x^3)) + (144*E^2 + 136*x + E^x*(-6*x^3 - 4*x^4 + E^2*(-4*x^2 - 4*x^3)))*Log[E^2 + x] + (-100*E^2 - 100*x + E^x*(x^3 + x^4 + E^2*(x^2 + x^3)))*Log[E^2 + x]^2 + (32*E^2 + 32*x)*Log[E^2 + x]^3 + (-4*E^2 - 4*x)*Log[E^2 + x]^4)/(400*E^2 + 400*x + E^x*(40*E^2*x^2 + 40*x^3) + E^(2*x)*(E^2*x^4 + x^5) + (-640*E^2 - 640*x + E^x*(-32*E^2*x^2 - 32*x^3))*Log[E^2 + x] + (416*E^2 + 416*x + E^x*(8*E^2*x^2 + 8*x^3))*Log[E^2 + x]^2 + (-128*E^2 - 128*x)*Log[E^2 + x]^3 + (16*E^2 + 16*x)*Log[E^2 + x]^4),x]","-\frac{x \left(\log \left(x+e^2\right)-2\right)^2}{e^x x^2+4 \log ^2\left(x+e^2\right)-16 \log \left(x+e^2\right)+20}","\frac{x}{\frac{\left(-\frac{4}{x^2}-e^x\right) x^2}{\left(\log \left(x+e^2\right)-2\right)^2}-4}",1,"-((x*(-2 + Log[E^2 + x])^2)/(20 + E^x*x^2 - 16*Log[E^2 + x] + 4*Log[E^2 + x]^2))","A",1
6465,1,26,30,1.4487774,"\int \frac{\exp \left(\frac{192+96 x^2+12 x^4+e^{2 x^2} \left(12 x^2-4 e^4 x^2\right)+e^4 \left(-64-32 x^2-4 x^4\right)+e^{x^2} \left(96 x+24 x^3+e^4 \left(-32 x-8 x^3\right)\right)}{x^4}\right) \left(-768-192 x^2+e^4 \left(256+64 x^2\right)+e^{2 x^2} \left(-24 x^2+48 x^4+e^4 \left(8 x^2-16 x^4\right)\right)+e^{x^2} \left(-288 x+168 x^3+48 x^5+e^4 \left(96 x-56 x^3-16 x^5\right)\right)\right)}{x^5} \, dx","Integrate[(E^((192 + 96*x^2 + 12*x^4 + E^(2*x^2)*(12*x^2 - 4*E^4*x^2) + E^4*(-64 - 32*x^2 - 4*x^4) + E^x^2*(96*x + 24*x^3 + E^4*(-32*x - 8*x^3)))/x^4)*(-768 - 192*x^2 + E^4*(256 + 64*x^2) + E^(2*x^2)*(-24*x^2 + 48*x^4 + E^4*(8*x^2 - 16*x^4)) + E^x^2*(-288*x + 168*x^3 + 48*x^5 + E^4*(96*x - 56*x^3 - 16*x^5))))/x^5,x]","e^{-\frac{4 \left(e^4-3\right) \left(x^2+e^{x^2} x+4\right)^2}{x^4}}","e^{\frac{4 \left(3-e^4\right) \left(e^{x^2}+x+\frac{4}{x}\right)^2}{x^2}}+5",1,"E^((-4*(-3 + E^4)*(4 + E^x^2*x + x^2)^2)/x^4)","A",1
6466,0,0,30,12.6557483,"\int \frac{e^{-\frac{2 \left(-5 e^{e^{x^2}}-5 x+x^2\right)}{e^{e^{x^2}}+x}} \left(2 e^{2 e^{x^2}} \log (x+\log (2))+2 x^2 \log (x+\log (2))+\left(-2 x^3-2 x^2 \log (2)\right) \log ^2(x+\log (2))+e^{e^{x^2}} \left(4 x \log (x+\log (2))+\left(-4 x^2-4 x \log (2)+e^{x^2} \left(4 x^4+4 x^3 \log (2)\right)\right) \log ^2(x+\log (2))\right)\right)}{x^3+x^2 \log (2)+e^{2 e^{x^2}} (x+\log (2))+e^{e^{x^2}} \left(2 x^2+2 x \log (2)\right)} \, dx","Integrate[(2*E^(2*E^x^2)*Log[x + Log[2]] + 2*x^2*Log[x + Log[2]] + (-2*x^3 - 2*x^2*Log[2])*Log[x + Log[2]]^2 + E^E^x^2*(4*x*Log[x + Log[2]] + (-4*x^2 - 4*x*Log[2] + E^x^2*(4*x^4 + 4*x^3*Log[2]))*Log[x + Log[2]]^2))/(E^((2*(-5*E^E^x^2 - 5*x + x^2))/(E^E^x^2 + x))*(x^3 + x^2*Log[2] + E^(2*E^x^2)*(x + Log[2]) + E^E^x^2*(2*x^2 + 2*x*Log[2]))),x]","\int \frac{e^{-\frac{2 \left(-5 e^{e^{x^2}}-5 x+x^2\right)}{e^{e^{x^2}}+x}} \left(2 e^{2 e^{x^2}} \log (x+\log (2))+2 x^2 \log (x+\log (2))+\left(-2 x^3-2 x^2 \log (2)\right) \log ^2(x+\log (2))+e^{e^{x^2}} \left(4 x \log (x+\log (2))+\left(-4 x^2-4 x \log (2)+e^{x^2} \left(4 x^4+4 x^3 \log (2)\right)\right) \log ^2(x+\log (2))\right)\right)}{x^3+x^2 \log (2)+e^{2 e^{x^2}} (x+\log (2))+e^{e^{x^2}} \left(2 x^2+2 x \log (2)\right)} \, dx","e^{10-\frac{2 x^2}{e^{e^{x^2}}+x}} \log ^2(x+\log (2))-5",1,"Integrate[(2*E^(2*E^x^2)*Log[x + Log[2]] + 2*x^2*Log[x + Log[2]] + (-2*x^3 - 2*x^2*Log[2])*Log[x + Log[2]]^2 + E^E^x^2*(4*x*Log[x + Log[2]] + (-4*x^2 - 4*x*Log[2] + E^x^2*(4*x^4 + 4*x^3*Log[2]))*Log[x + Log[2]]^2))/(E^((2*(-5*E^E^x^2 - 5*x + x^2))/(E^E^x^2 + x))*(x^3 + x^2*Log[2] + E^(2*E^x^2)*(x + Log[2]) + E^E^x^2*(2*x^2 + 2*x*Log[2]))), x]","F",-1
6467,1,4,14,0.00028,"\int -\frac{1}{x} \, dx","Integrate[-x^(-1),x]","-\log (x)","4-\frac{1}{4} \log \left(\frac{x^4}{16}\right)",1,"-Log[x]","A",1
6468,1,43,23,0.8059387,"\int \frac{-15 x+2 e^{2 x} x^3+2 x^5+e^x \left(-10-5 x+4 x^4\right)+\left(5 x+8 x^4+2 x^5+e^{2 x} \left(8 x^2+2 x^3\right)+e^x \left(5+16 x^3+4 x^4\right)\right) \log \left(\frac{5+8 x^3+2 x^4+e^x \left(8 x^2+2 x^3\right)}{2 e^x x^2+2 x^3}\right)}{25 x+40 x^4+10 x^5+e^{2 x} \left(40 x^2+10 x^3\right)+e^x \left(25+80 x^3+20 x^4\right)} \, dx","Integrate[(-15*x + 2*E^(2*x)*x^3 + 2*x^5 + E^x*(-10 - 5*x + 4*x^4) + (5*x + 8*x^4 + 2*x^5 + E^(2*x)*(8*x^2 + 2*x^3) + E^x*(5 + 16*x^3 + 4*x^4))*Log[(5 + 8*x^3 + 2*x^4 + E^x*(8*x^2 + 2*x^3))/(2*E^x*x^2 + 2*x^3)])/(25*x + 40*x^4 + 10*x^5 + E^(2*x)*(40*x^2 + 10*x^3) + E^x*(25 + 80*x^3 + 20*x^4)),x]","\frac{1}{5} x \log \left(\frac{2 x^4+8 x^3+2 e^x (x+4) x^2+5}{2 x^2 \left(x+e^x\right)}\right)","\frac{1}{5} x \log \left(\frac{5}{2 \left(x+e^x\right) x^2}+x+4\right)",1,"(x*Log[(5 + 8*x^3 + 2*x^4 + 2*E^x*x^2*(4 + x))/(2*x^2*(E^x + x))])/5","A",1
6469,1,32,31,0.1645746,"\int \frac{-e^{\frac{e^{e^3}}{3}} x^2+e^x \left(-4+6 x-x^2\right)}{e^x \left(4 x-x^2\right)+e^{\frac{e^{e^3}}{3}} \left(-4 x^2+x^3\right)} \, dx","Integrate[(-(E^(E^E^3/3)*x^2) + E^x*(-4 + 6*x - x^2))/(E^x*(4*x - x^2) + E^(E^E^3/3)*(-4*x^2 + x^3)),x]","-\log (4-x)-\log (x)+\log \left(e^x-e^{\frac{e^{e^3}}{3}} x\right)","-\log \left(\frac{x-4}{e^{\frac{e^{e^3}}{3}}-\frac{e^x}{x}}\right)-7",1,"-Log[4 - x] - Log[x] + Log[E^x - E^(E^E^3/3)*x]","A",1
6470,1,24,33,0.3544837,"\int \frac{-5+e^4-x+x^2+\left(-5+e^4-x^2\right) \log (x)+(4-e) \log ^2(x)}{25+e^8+10 x-9 x^2-2 x^3+x^4+e^4 \left(-10-2 x+2 x^2\right)+\left(-40+(8-2 e) e^4-8 x+8 x^2+e \left(10+2 x-2 x^2\right)\right) \log (x)+\left(16-8 e+e^2\right) \log ^2(x)} \, dx","Integrate[(-5 + E^4 - x + x^2 + (-5 + E^4 - x^2)*Log[x] + (4 - E)*Log[x]^2)/(25 + E^8 + 10*x - 9*x^2 - 2*x^3 + x^4 + E^4*(-10 - 2*x + 2*x^2) + (-40 + (8 - 2*E)*E^4 - 8*x + 8*x^2 + E*(10 + 2*x - 2*x^2))*Log[x] + (16 - 8*E + E^2)*Log[x]^2),x]","\frac{x \log (x)}{x^2-x-(e-4) \log (x)+e^4-5}","\frac{x^2}{x \left(\frac{x^2-x+e^4-5}{\log (x)}-e+2\right)+2 x}",1,"(x*Log[x])/(-5 + E^4 - x + x^2 - (-4 + E)*Log[x])","A",1
6471,1,16,16,0.0169407,"\int \frac{e^{-3-\frac{x}{e^3}} \left(e^3 (1-x)-2 x+x^2-x \log (x)\right)}{x} \, dx","Integrate[(E^(-3 - x/E^3)*(E^3*(1 - x) - 2*x + x^2 - x*Log[x]))/x,x]","e^{-\frac{x}{e^3}} (-x+\log (x)+2)","e^{-\frac{x}{e^3}} (-x+\log (x)+2)",1,"(2 - x + Log[x])/E^(x/E^3)","A",1
6472,1,21,22,0.0310718,"\int \frac{e^{e^{-4+2 x}} \left(1+8 x+e^{-4+2 x} \left(10-2 x-8 x^2\right)\right)}{25-10 x-39 x^2+8 x^3+16 x^4} \, dx","Integrate[(E^E^(-4 + 2*x)*(1 + 8*x + E^(-4 + 2*x)*(10 - 2*x - 8*x^2)))/(25 - 10*x - 39*x^2 + 8*x^3 + 16*x^4),x]","-\frac{e^{e^{2 x-4}}}{4 x^2+x-5}","\frac{e^{e^{2 x-4}}}{-4 x^2-x+5}",1,"-(E^E^(-4 + 2*x)/(-5 + x + 4*x^2))","A",1
6473,1,26,21,0.8523704,"\int \frac{5 e^{5-x}+\left(5+e^{5-x} (-5-5 x)\right) \log (x)+(5-5 \log (x)) \log (5 x)}{2 x^2} \, dx","Integrate[(5*E^(5 - x) + (5 + E^(5 - x)*(-5 - 5*x))*Log[x] + (5 - 5*Log[x])*Log[5*x])/(2*x^2),x]","\frac{5 e^{-x} \log (x) \left(e^x \log (5 x)+e^5\right)}{2 x}","\frac{5 \log (x) \left(e^{5-x}+\log (5 x)\right)}{2 x}",1,"(5*Log[x]*(E^5 + E^x*Log[5*x]))/(2*E^x*x)","A",1
6474,1,25,21,0.3421426,"\int \frac{e^{32-x} \left(e^x (2-9 x)+e^4 (-2+x)\right) x}{\left(-3 e^4+3 e^x\right) \left(e^8+e^{2 x}-2 e^{4+x}\right)^4} \, dx","Integrate[(E^(32 - x)*(E^x*(2 - 9*x) + E^4*(-2 + x))*x)/((-3*E^4 + 3*E^x)*(E^8 + E^(2*x) - 2*E^(4 + x))^4),x]","\frac{e^{32-x} x^2}{3 \left(e^4-e^x\right)^8}","\frac{e^{-x} x^2}{3 \left(e^{x-4}-1\right)^8}",1,"(E^(32 - x)*x^2)/(3*(E^4 - E^x)^8)","A",1
6475,1,34,28,0.2159226,"\int \frac{49-40 x+36 x^2+40 x^3-14 x^4+e^x \left(31-88 x-36 x^2+24 x^3-2 x^4\right)}{-49 x-40 x^2+12 x^3+8 x^4-2 x^5+e^x \left(49+40 x-12 x^2-8 x^3+2 x^4\right)} \, dx","Integrate[(49 - 40*x + 36*x^2 + 40*x^3 - 14*x^4 + E^x*(31 - 88*x - 36*x^2 + 24*x^3 - 2*x^4))/(-49*x - 40*x^2 + 12*x^3 + 8*x^4 - 2*x^5 + E^x*(49 + 40*x - 12*x^2 - 8*x^3 + 2*x^4)),x]","2 \log \left(2 x^4-8 x^3-12 x^2+40 x+49\right)-\log \left(e^x-x\right)","\log \left(\left(2-4 \left(x^2-2 x-5\right)^2\right)^2\right)-\log \left(x-e^x\right)",1,"-Log[E^x - x] + 2*Log[49 + 40*x - 12*x^2 - 8*x^3 + 2*x^4]","A",1
6476,1,18,19,0.062246,"\int e^{3+16 x-8 e^2 x+e^4 x-x^2} \left(16-8 e^2+e^4-2 x\right) \, dx","Integrate[E^(3 + 16*x - 8*E^2*x + E^4*x - x^2)*(16 - 8*E^2 + E^4 - 2*x),x]","e^{-x^2+\left(e^2-4\right)^2 x+3}","e^{\left(\left(e^2-4\right)^2-x\right) x+3}+4",1,"E^(3 + (-4 + E^2)^2*x - x^2)","A",1
6477,1,23,23,1.1104799,"\int \frac{2 x \log (x)+\left(-216 x^3+216 x^4-72 x^5+8 x^6\right) \log ^3(x)+(6-2 x+(6-4 x) \log (x)) \log \left(9-6 x+x^2\right)}{\left(-27 x^3+27 x^4-9 x^5+x^6\right) \log ^3(x)} \, dx","Integrate[(2*x*Log[x] + (-216*x^3 + 216*x^4 - 72*x^5 + 8*x^6)*Log[x]^3 + (6 - 2*x + (6 - 4*x)*Log[x])*Log[9 - 6*x + x^2])/((-27*x^3 + 27*x^4 - 9*x^5 + x^6)*Log[x]^3),x]","\frac{\log \left((x-3)^2\right)}{(x-3)^2 x^2 \log ^2(x)}+8 x","\frac{\log \left((x-3)^2\right)}{(x-3)^2 x^2 \log ^2(x)}+8 x",1,"8*x + Log[(-3 + x)^2]/((-3 + x)^2*x^2*Log[x]^2)","A",1
6478,1,23,30,0.2075206,"\int \frac{10+20 x-24 x^2-6 e^{2 x} x^2+e^x \left(-5-15 x+19 x^2\right)}{36 x^2+72 x^3+36 x^4+e^x \left(-36 x^2-72 x^3-36 x^4\right)+e^{2 x} \left(9 x^2+18 x^3+9 x^4\right)} \, dx","Integrate[(10 + 20*x - 24*x^2 - 6*E^(2*x)*x^2 + E^x*(-5 - 15*x + 19*x^2))/(36*x^2 + 72*x^3 + 36*x^4 + E^x*(-36*x^2 - 72*x^3 - 36*x^4) + E^(2*x)*(9*x^2 + 18*x^3 + 9*x^4)),x]","\frac{\frac{5}{\left(e^x-2\right) x}+6}{9 (x+1)}","\frac{-x-\frac{5}{\left(2-e^x\right) x}+5}{3 (3 x+3)}",1,"(6 + 5/((-2 + E^x)*x))/(9*(1 + x))","A",1
6479,1,18,21,0.0072683,"\int \frac{110 x-25 x^2}{121-110 x+25 x^2} \, dx","Integrate[(110*x - 25*x^2)/(121 - 110*x + 25*x^2),x]","\frac{1}{5} \left(-5 x+\frac{121}{11-5 x}+11\right)","-\frac{x^2}{x-\frac{11}{5}}-e^3+\frac{5}{3}",1,"(11 + 121/(11 - 5*x) - 5*x)/5","A",1
6480,1,35,26,0.0268279,"\int \frac{100-60 x-140 x^2-70 x^3-14 x^4-x^5+\left(-25+15 x+9 x^2+x^3\right) \log (2)}{-100 x-120 x^2-60 x^3-13 x^4-x^5+\left(25 x+10 x^2+x^3\right) \log (2)} \, dx","Integrate[(100 - 60*x - 140*x^2 - 70*x^3 - 14*x^4 - x^5 + (-25 + 15*x + 9*x^2 + x^3)*Log[2])/(-100*x - 120*x^2 - 60*x^3 - 13*x^4 - x^5 + (25*x + 10*x^2 + x^3)*Log[2]),x]","\log \left(x^3+8 x^2+20 x-x \log (2)+20-5 \log (2)\right)+x-\log (x)-\log (x+5)","x+\log \left(\frac{-(x+2)^2+x-\frac{x}{x+5}+\log (2)}{x}\right)",1,"x - Log[x] - Log[5 + x] + Log[20 + 20*x + 8*x^2 + x^3 - 5*Log[2] - x*Log[2]]","A",1
6481,1,9,12,0.0000706,"\int \frac{1}{500} (500+379 \log (2)) \, dx","Integrate[(500 + 379*Log[2])/500,x]","x+\frac{379}{500} x \log (2)","x+\left(\frac{379 x}{500}-4\right) \log (2)",1,"x + (379*x*Log[2])/500","A",1
6482,1,26,41,0.0230232,"\int \frac{1}{30} e^{\frac{1}{10} \left(2 e^{x/4}-x-10 \log \left(\frac{2}{x}\right)\right)} \left(-40+2 x-e^{x/4} x\right) \, dx","Integrate[(E^((2*E^(x/4) - x - 10*Log[2/x])/10)*(-40 + 2*x - E^(x/4)*x))/30,x]","-\frac{1}{3} e^{\frac{e^{x/4}}{5}-\frac{x}{10}} x^2","\frac{2}{3 \left(1-\frac{x}{x-\frac{2 e^{\frac{1}{5} \left(\frac{x}{2}-e^{x/4}\right)}}{x}}\right)}",1,"-1/3*(E^(E^(x/4)/5 - x/10)*x^2)","A",1
6483,1,17,22,0.1737377,"\int \frac{3}{4} e^{e^x-x} \left(16-16 x+16 e^x x+\frac{4}{3} e^{-e^x+x} (20+8 x)\right) \, dx","Integrate[(3*E^(E^x - x)*(16 - 16*x + 16*E^x*x + (4*E^(-E^x + x)*(20 + 8*x))/3))/4,x]","4 x \left(x+3 e^{e^x-x}+5\right)","4 \left(x \left(x+3 e^{e^x-x}+5\right)+3\right)-5",1,"4*x*(5 + 3*E^(E^x - x) + x)","A",1
6484,1,20,19,0.0034196,"\int \frac{-48+8 x^2 \log (16)+x^4 \log ^2(16)}{x^4 \log ^2(16)} \, dx","Integrate[(-48 + 8*x^2*Log[16] + x^4*Log[16]^2)/(x^4*Log[16]^2),x]","\frac{16}{x^3 \log ^2(16)}+x-\frac{8}{x \log (16)}","\frac{\left(\frac{4}{x \log (16)}-x\right)^2}{x}",1,"x + 16/(x^3*Log[16]^2) - 8/(x*Log[16])","A",1
6485,1,33,33,0.6125905,"\int \frac{-x+x^2+\left(x^2-x^3\right) \log (5)+\left(x^2-x^3 \log (5)\right) \log (x)+e^{-e^{e^5 x}+x} (1-x-x \log (x))+\left(e^{-e^{e^5 x}+x} \left(-x+x^2+e^{5+e^5 x} \left(x-x^2\right)\right) \log (x)+\left(x-x^2+\left(-2 x^2+2 x^3\right) \log (5)\right) \log (x)\right) \log ((-1+x) \log (x))}{\left(-x+x^2\right) \log (x) \log ^2((-1+x) \log (x))} \, dx","Integrate[(-x + x^2 + (x^2 - x^3)*Log[5] + (x^2 - x^3*Log[5])*Log[x] + E^(-E^(E^5*x) + x)*(1 - x - x*Log[x]) + (E^(-E^(E^5*x) + x)*(-x + x^2 + E^(5 + E^5*x)*(x - x^2))*Log[x] + (x - x^2 + (-2*x^2 + 2*x^3)*Log[5])*Log[x])*Log[(-1 + x)*Log[x]])/((-x + x^2)*Log[x]*Log[(-1 + x)*Log[x]]^2),x]","\frac{x^2 \log (5)-x+e^{x-e^{e^5 x}}}{\log ((x-1) \log (x))}","\frac{x^2 \log (5)-x+e^{x-e^{e^5 x}}}{\log ((x-1) \log (x))}",1,"(E^(-E^(E^5*x) + x) - x + x^2*Log[5])/Log[(-1 + x)*Log[x]]","A",1
6486,1,12,22,0.0000787,"\int \left(2 x-e^2 \log (2)\right) \, dx","Integrate[2*x - E^2*Log[2],x]","x^2-e^2 x \log (2)","x \left(x-\frac{e^2 (x \log (2)+2+5 \log (3))}{x}\right)",1,"x^2 - E^2*x*Log[2]","A",1
6487,1,18,18,0.0127821,"\int \left(2 e^{2 x}-96 e^{3 x}+6 e^{6 x}\right) \, dx","Integrate[2*E^(2*x) - 96*E^(3*x) + 6*E^(6*x),x]","e^{2 x} \left(-32 e^x+e^{4 x}+1\right)","\left(16-e^{3 x}\right)^2+e^{2 x}+2",1,"E^(2*x)*(1 - 32*E^x + E^(4*x))","A",1
6488,1,15,23,0.0054936,"\int \frac{-64-16 x+66 x^2+17 x^3}{4 x^2+x^3} \, dx","Integrate[(-64 - 16*x + 66*x^2 + 17*x^3)/(4*x^2 + x^3),x]","17 x+\frac{16}{x}-2 \log (x+4)","\log \left(\frac{e^{\frac{4 \left(4 x^2+4\right)}{x}}}{(x+4)^2}\right)+x",1,"16/x + 17*x - 2*Log[4 + x]","A",1
6489,1,29,28,3.8074525,"\int \frac{-3 x^2+\exp \left(\exp \left(4+e^2 \left(36+24 x+4 x^2\right)+e^4 \left(81+108 x+54 x^2+12 x^3+x^4\right)\right)\right) \left(-75+\exp \left(4+e^2 \left(36+24 x+4 x^2\right)+e^4 \left(81+108 x+54 x^2+12 x^3+x^4\right)\right) \left(e^2 \left(600 x+200 x^2\right)+e^4 \left(2700 x+2700 x^2+900 x^3+100 x^4\right)\right)\right)}{x^4} \, dx","Integrate[(-3*x^2 + E^E^(4 + E^2*(36 + 24*x + 4*x^2) + E^4*(81 + 108*x + 54*x^2 + 12*x^3 + x^4))*(-75 + E^(4 + E^2*(36 + 24*x + 4*x^2) + E^4*(81 + 108*x + 54*x^2 + 12*x^3 + x^4))*(E^2*(600*x + 200*x^2) + E^4*(2700*x + 2700*x^2 + 900*x^3 + 100*x^4))))/x^4,x]","\frac{3 x^2+25 e^{e^{\left(e^2 (x+3)^2+2\right)^2}}}{x^3}","\frac{\frac{25 e^{e^{\left(e^2 (x+3)^2+2\right)^2}}}{x^2}+3}{x}",1,"(25*E^E^(2 + E^2*(3 + x)^2)^2 + 3*x^2)/x^3","A",1
6490,1,36,30,0.168842,"\int \frac{\exp \left(\frac{-3-4 x+\log \left(\frac{x+x^4-2 x^2 \log \left(x^2\right)+\log ^2\left(x^2\right)}{x}\right)}{x}\right) \left(3 x-4 x^2+6 x^4+\left(4-8 x^2\right) \log \left(x^2\right)+2 \log ^2\left(x^2\right)+\left(-x-x^4+2 x^2 \log \left(x^2\right)-\log ^2\left(x^2\right)\right) \log \left(\frac{x+x^4-2 x^2 \log \left(x^2\right)+\log ^2\left(x^2\right)}{x}\right)\right)}{x^3+x^6-2 x^4 \log \left(x^2\right)+x^2 \log ^2\left(x^2\right)} \, dx","Integrate[(E^((-3 - 4*x + Log[(x + x^4 - 2*x^2*Log[x^2] + Log[x^2]^2)/x])/x)*(3*x - 4*x^2 + 6*x^4 + (4 - 8*x^2)*Log[x^2] + 2*Log[x^2]^2 + (-x - x^4 + 2*x^2*Log[x^2] - Log[x^2]^2)*Log[(x + x^4 - 2*x^2*Log[x^2] + Log[x^2]^2)/x]))/(x^3 + x^6 - 2*x^4*Log[x^2] + x^2*Log[x^2]^2),x]","e^{-\frac{3}{x}-4} \left(x^3+\frac{\log ^2\left(x^2\right)}{x}-2 x \log \left(x^2\right)+1\right)^{\frac{1}{x}}","e^{\frac{\log \left(\frac{\left(\log \left(x^2\right)-x^2\right)^2+x}{x}\right)+x-3}{x}-5}",1,"E^(-4 - 3/x)*(1 + x^3 - 2*x*Log[x^2] + Log[x^2]^2/x)^x^(-1)","A",1
6491,1,21,30,0.0075681,"\int \left(1-2 e^x-2 e^{2+2 x}+4 x\right) \, dx","Integrate[1 - 2*E^x - 2*E^(2 + 2*x) + 4*x,x]","2 x^2+x-2 e^x-e^{2 x+2}","x-e^{2 x+2}+2 \left(x \left(x-\frac{e^x+4}{x}\right)+3\right)-1",1,"-2*E^x - E^(2 + 2*x) + x + 2*x^2","A",1
6492,1,5,22,0.0002834,"\int \frac{6}{x^2} \, dx","Integrate[6/x^2,x]","-\frac{6}{x}","\frac{x-4}{x}+\frac{e^9 x+2 x-2}{x}",1,"-6/x","A",1
6493,1,34,33,0.2853577,"\int \frac{\exp \left(-\frac{e^2 x}{3 x-e^x x+\log \left(\log \left(\frac{x^2}{\log ^2(2) \log ^2(x)}\right)\right)}\right) \left(-2 e^2+2 e^2 \log (x)-e^{2+x} x^2 \log (x) \log \left(\frac{x^2}{\log ^2(2) \log ^2(x)}\right)-e^2 \log (x) \log \left(\frac{x^2}{\log ^2(2) \log ^2(x)}\right) \log \left(\log \left(\frac{x^2}{\log ^2(2) \log ^2(x)}\right)\right)\right)}{\left(9 x^2-6 e^x x^2+e^{2 x} x^2\right) \log (x) \log \left(\frac{x^2}{\log ^2(2) \log ^2(x)}\right)+\left(6 x-2 e^x x\right) \log (x) \log \left(\frac{x^2}{\log ^2(2) \log ^2(x)}\right) \log \left(\log \left(\frac{x^2}{\log ^2(2) \log ^2(x)}\right)\right)+\log (x) \log \left(\frac{x^2}{\log ^2(2) \log ^2(x)}\right) \log ^2\left(\log \left(\frac{x^2}{\log ^2(2) \log ^2(x)}\right)\right)} \, dx","Integrate[(-2*E^2 + 2*E^2*Log[x] - E^(2 + x)*x^2*Log[x]*Log[x^2/(Log[2]^2*Log[x]^2)] - E^2*Log[x]*Log[x^2/(Log[2]^2*Log[x]^2)]*Log[Log[x^2/(Log[2]^2*Log[x]^2)]])/(E^((E^2*x)/(3*x - E^x*x + Log[Log[x^2/(Log[2]^2*Log[x]^2)]]))*((9*x^2 - 6*E^x*x^2 + E^(2*x)*x^2)*Log[x]*Log[x^2/(Log[2]^2*Log[x]^2)] + (6*x - 2*E^x*x)*Log[x]*Log[x^2/(Log[2]^2*Log[x]^2)]*Log[Log[x^2/(Log[2]^2*Log[x]^2)]] + Log[x]*Log[x^2/(Log[2]^2*Log[x]^2)]*Log[Log[x^2/(Log[2]^2*Log[x]^2)]]^2)),x]","\exp \left(-\frac{e^2 x}{\log \left(\log \left(\frac{x^2}{\log ^2(2) \log ^2(x)}\right)\right)-e^x x+3 x}\right)","\exp \left(\frac{e^2 x}{\left(e^x-3\right) x-\log \left(\log \left(\frac{x^2}{\log ^2(2) \log ^2(x)}\right)\right)}\right)",1,"E^(-((E^2*x)/(3*x - E^x*x + Log[Log[x^2/(Log[2]^2*Log[x]^2)]])))","A",1
6494,1,29,29,0.0868403,"\int \frac{40 x+5 x^2+10 x^5-20 x^3 \log (x)+\left(-60 x^3-5 x^4-10 x^7\right) \log ^2(x)+\left(-20 x+20 x^3 \log ^2(x)\right) \log \left(1-x^2 \log ^2(x)\right)}{-16-8 x-x^2+8 x^4+2 x^5-x^8+\left(16 x^2+8 x^3+x^4-8 x^6-2 x^7+x^{10}\right) \log ^2(x)+\left(16+4 x-4 x^4+\left(-16 x^2-4 x^3+4 x^6\right) \log ^2(x)\right) \log \left(1-x^2 \log ^2(x)\right)+\left(-4+4 x^2 \log ^2(x)\right) \log ^2\left(1-x^2 \log ^2(x)\right)} \, dx","Integrate[(40*x + 5*x^2 + 10*x^5 - 20*x^3*Log[x] + (-60*x^3 - 5*x^4 - 10*x^7)*Log[x]^2 + (-20*x + 20*x^3*Log[x]^2)*Log[1 - x^2*Log[x]^2])/(-16 - 8*x - x^2 + 8*x^4 + 2*x^5 - x^8 + (16*x^2 + 8*x^3 + x^4 - 8*x^6 - 2*x^7 + x^10)*Log[x]^2 + (16 + 4*x - 4*x^4 + (-16*x^2 - 4*x^3 + 4*x^6)*Log[x]^2)*Log[1 - x^2*Log[x]^2] + (-4 + 4*x^2*Log[x]^2)*Log[1 - x^2*Log[x]^2]^2),x]","\frac{5 x^2}{x^4+2 \log \left(1-x^2 \log ^2(x)\right)-x-4}","\frac{5 x^2}{x^4+2 \log \left(1-x^2 \log ^2(x)\right)-x-4}",1,"(5*x^2)/(-4 - x + x^4 + 2*Log[1 - x^2*Log[x]^2])","A",1
6495,1,22,22,0.513751,"\int \frac{e^{-\frac{48+48 x}{-5+x}} \left(288 e^2+100 x^3+248 x^4+4 x^5+e \left(-100 x-536 x^2-4 x^3\right)\right)}{25-10 x+x^2} \, dx","Integrate[(288*E^2 + 100*x^3 + 248*x^4 + 4*x^5 + E*(-100*x - 536*x^2 - 4*x^3))/(E^((48 + 48*x)/(-5 + x))*(25 - 10*x + x^2)),x]","e^{-\frac{48 (x+1)}{x-5}} \left(e-x^2\right)^2","e^{-\frac{48 (x+1)}{x-5}} \left(x^2-e\right)^2",1,"(E - x^2)^2/E^((48*(1 + x))/(-5 + x))","A",1
6496,1,33,23,0.0110541,"\int \left(-4+e^3+e^{2 x} (-1-2 x)+2 x-3 x^2+e^x \left(4 x+2 x^2\right)\right) \, dx","Integrate[-4 + E^3 + E^(2*x)*(-1 - 2*x) + 2*x - 3*x^2 + E^x*(4*x + 2*x^2),x]","-x^3+2 e^x x^2+x^2-e^{2 x} x+e^3 x-4 x","e^3 x-x \left(\left(x-e^x\right)^2-x+4\right)",1,"-4*x + E^3*x - E^(2*x)*x + x^2 + 2*E^x*x^2 - x^3","A",1
6497,1,13,13,0.0030358,"\int \left(3+3 e^{x^2} x\right) \, dx","Integrate[3 + 3*E^x^2*x,x]","\frac{3 e^{x^2}}{2}+3 x","3 \left(\frac{e^{x^2}}{2}+x\right)",1,"(3*E^x^2)/2 + 3*x","A",1
6498,1,33,29,0.2145652,"\int \frac{7 x^2-4 x^3-14 x^4+\left(-3-6 x^2\right) \log (4)+\left(-2 x-7 x^2-3 \log (4)\right) \log \left(\frac{-2 x-7 x^2-3 \log (4)}{3 x}\right)}{2 x^3+7 x^4+3 x^2 \log (4)} \, dx","Integrate[(7*x^2 - 4*x^3 - 14*x^4 + (-3 - 6*x^2)*Log[4] + (-2*x - 7*x^2 - 3*Log[4])*Log[(-2*x - 7*x^2 - 3*Log[4])/(3*x)])/(2*x^3 + 7*x^4 + 3*x^2*Log[4]),x]","-\frac{\frac{x^2 \log (4096)}{\log (64)}-\log \left(-7 x-\frac{\log (64)}{x}-2\right)+\log (3)}{x}","\frac{\log \left(\frac{1}{3} (-x-2)-2 x-\frac{\log (4)}{x}\right)}{x}-2 x",1,"-((Log[3] + (x^2*Log[4096])/Log[64] - Log[-2 - 7*x - Log[64]/x])/x)","A",1
6499,1,18,20,0.3342487,"\int \frac{e^{e^{4 x}} \left(30-6 x+\left(-6+6 x+e^{4 x} \left(-120+144 x-24 x^2\right)\right) \log (-1+x)\right)}{-25+35 x-11 x^2+x^3} \, dx","Integrate[(E^E^(4*x)*(30 - 6*x + (-6 + 6*x + E^(4*x)*(-120 + 144*x - 24*x^2))*Log[-1 + x]))/(-25 + 35*x - 11*x^2 + x^3),x]","-\frac{6 e^{e^{4 x}} \log (x-1)}{x-5}","\frac{6 e^{e^{4 x}} \log (x-1)}{5-x}",1,"(-6*E^E^(4*x)*Log[-1 + x])/(-5 + x)","A",1
6500,1,10,15,0.0009434,"\int \left(3+\log \left(2 x^2\right)\right) \, dx","Integrate[3 + Log[2*x^2],x]","x \log \left(2 x^2\right)+x","x \log \left(2 x^2\right)+x+8+\log ^2(15)",1,"x + x*Log[2*x^2]","A",1
6501,1,19,23,0.0038669,"\int \frac{12-54 x^2+12 x^2 \log (3 x)}{x} \, dx","Integrate[(12 - 54*x^2 + 12*x^2*Log[3*x])/x,x]","-30 x^2+6 x^2 \log (3 x)+12 \log (x)","3 \left(x^2+(1-x)^2+2 x+3\right) (\log (3 x)-5)",1,"-30*x^2 + 12*Log[x] + 6*x^2*Log[3*x]","A",1
6502,1,22,25,0.0174297,"\int \frac{-25-25 e^{\frac{6}{e^{20}}}-26 x^2}{25 x+25 e^{\frac{6}{e^{20}}} x-26 x^3} \, dx","Integrate[(-25 - 25*E^(6/E^20) - 26*x^2)/(25*x + 25*E^(6/E^20)*x - 26*x^3),x]","\log \left(-26 x^2+25 e^{\frac{6}{e^{20}}}+25\right)-\log (x)","\log \left(\frac{-\frac{x^2}{25}+e^{\frac{6}{e^{20}}}+1}{x}-x\right)",1,"-Log[x] + Log[25 + 25*E^(6/E^20) - 26*x^2]","A",1
6503,1,11,13,0.0555351,"\int \frac{27+9 e^x}{89+9 e^x+27 x} \, dx","Integrate[(27 + 9*E^x)/(89 + 9*E^x + 27*x),x]","\log \left(27 x+9 e^x+89\right)","\log \left(3 x+e^x+\frac{89}{9}\right)+1",1,"Log[89 + 9*E^x + 27*x]","A",1
6504,1,30,25,0.1587341,"\int \frac{e^{-x} \left(-5600+525 x+20500 x^5-750 x^6-12500 x^{10}\right)}{3675-630 x+27 x^2-10500 x^5+900 x^6+7500 x^{10}} \, dx","Integrate[(-5600 + 525*x + 20500*x^5 - 750*x^6 - 12500*x^10)/(E^x*(3675 - 630*x + 27*x^2 - 10500*x^5 + 900*x^6 + 7500*x^10)),x]","-\frac{25}{3} e^{-x} \left(\frac{3 x}{5 \left(50 x^5+3 x-35\right)}-\frac{1}{5}\right)","\frac{5 e^{-x}}{3-\frac{9 x}{5 \left(7-10 x^5\right)}}",1,"(-25*(-1/5 + (3*x)/(5*(-35 + 3*x + 50*x^5))))/(3*E^x)","A",1
6505,1,25,24,0.1282709,"\int \frac{-x+30 x^3-6 x^4+\left(10-2 x-30 x^3+6 x^4\right) \log (5-x)+\left(15 x^3-3 x^4\right) \log ^2(5-x)}{\left(-15 x^3+3 x^4\right) \log ^2(5-x)} \, dx","Integrate[(-x + 30*x^3 - 6*x^4 + (10 - 2*x - 30*x^3 + 6*x^4)*Log[5 - x] + (15*x^3 - 3*x^4)*Log[5 - x]^2)/((-15*x^3 + 3*x^4)*Log[5 - x]^2),x]","\frac{1}{3} \left(\frac{\frac{1}{x^2}+6 x-30}{\log (5-x)}-3 x\right)","\frac{2 \left(\frac{1}{6 x^2}+x-5\right)}{\log (5-x)}-x",1,"(-3*x + (-30 + x^(-2) + 6*x)/Log[5 - x])/3","A",1
6506,1,9,11,0.0038141,"\int 8 e^{8+2 x} \, dx","Integrate[8*E^(8 + 2*x),x]","4 e^{2 x+8}","4 e^{2 x+8}+5",1,"4*E^(8 + 2*x)","A",1
6507,1,21,20,0.0126804,"\int \frac{e^5+2 x^2+4 x^2 \log (\log (5))}{2 x^2+4 x^2 \log (\log (5))} \, dx","Integrate[(E^5 + 2*x^2 + 4*x^2*Log[Log[5]])/(2*x^2 + 4*x^2*Log[Log[5]]),x]","x-\frac{e^5}{2 x (1+2 \log (\log (5)))}","x-\frac{e^5}{2 (x+2 x \log (\log (5)))}+5",1,"x - E^5/(2*x*(1 + 2*Log[Log[5]]))","A",1
6508,1,16,22,0.0206216,"\int \frac{x+2 x^2+e^{\frac{-5+e x}{x}} (5+x)}{x} \, dx","Integrate[(x + 2*x^2 + E^((-5 + E*x)/x)*(5 + x))/x,x]","x^2+e^{e-\frac{5}{x}} x+x","\log (9)-\left(-x-e^{e-\frac{5}{x}}-1\right) x",1,"x + E^(E - 5/x)*x + x^2","A",1
6509,1,31,27,0.0840966,"\int \frac{-50-120 x-212 x^2-136 x^3-48 x^4-4 x^5+e^3 \left(-50 x-40 x^2-4 x^3\right)+\left(-50 x-40 x^2-4 x^3\right) \log (x)}{25 x^3+45 x^4+49 x^5+24 x^6+4 x^7+e^3 \left(25 x^3+20 x^4+4 x^5\right)+\left(25 x^3+20 x^4+4 x^5\right) \log (x)+\left(50 x^2+80 x^3+84 x^4+34 x^5+4 x^6+e^3 \left(50 x^2+30 x^3+4 x^4\right)+\left(50 x^2+30 x^3+4 x^4\right) \log (x)\right) \log \left(1+e^3+x+x^2+\log (x)\right)+\left(25 x+35 x^2+36 x^3+11 x^4+x^5+e^3 \left(25 x+10 x^2+x^3\right)+\left(25 x+10 x^2+x^3\right) \log (x)\right) \log ^2\left(1+e^3+x+x^2+\log (x)\right)} \, dx","Integrate[(-50 - 120*x - 212*x^2 - 136*x^3 - 48*x^4 - 4*x^5 + E^3*(-50*x - 40*x^2 - 4*x^3) + (-50*x - 40*x^2 - 4*x^3)*Log[x])/(25*x^3 + 45*x^4 + 49*x^5 + 24*x^6 + 4*x^7 + E^3*(25*x^3 + 20*x^4 + 4*x^5) + (25*x^3 + 20*x^4 + 4*x^5)*Log[x] + (50*x^2 + 80*x^3 + 84*x^4 + 34*x^5 + 4*x^6 + E^3*(50*x^2 + 30*x^3 + 4*x^4) + (50*x^2 + 30*x^3 + 4*x^4)*Log[x])*Log[1 + E^3 + x + x^2 + Log[x]] + (25*x + 35*x^2 + 36*x^3 + 11*x^4 + x^5 + E^3*(25*x + 10*x^2 + x^3) + (25*x + 10*x^2 + x^3)*Log[x])*Log[1 + E^3 + x + x^2 + Log[x]]^2),x]","\frac{2 (x+5)}{(x+5) \log \left(x^2+x+\log (x)+e^3+1\right)+x (2 x+5)}","\frac{2}{\frac{x^2}{x+5}+\log \left(x^2+x+\log (x)+e^3+1\right)+x}",1,"(2*(5 + x))/(x*(5 + 2*x) + (5 + x)*Log[1 + E^3 + x + x^2 + Log[x]])","A",1
6510,1,15,13,0.0000757,"\int \left(-2+4 e^2-12 x\right) \, dx","Integrate[-2 + 4*E^2 - 12*x,x]","-6 x^2+4 e^2 x-2 x","2 \left(-3 x+2 e^2-1\right) x",1,"-2*x + 4*E^2*x - 6*x^2","A",1
6511,1,36,31,0.8082115,"\int \frac{3 e^{3+x} x^4-6 e^{2+2 x} x^4+12 x \log \left(x^2\right)-6 x \log ^2\left(x^2\right)}{144 x^4-24 e^{3+x} x^4+e^{6+2 x} x^4+e^{4+4 x} x^4+e^{2+2 x} \left(24 x^4-2 e^{3+x} x^4\right)+\left(-24 x^2+2 e^{3+x} x^2-2 e^{2+2 x} x^2\right) \log ^2\left(x^2\right)+\log ^4\left(x^2\right)} \, dx","Integrate[(3*E^(3 + x)*x^4 - 6*E^(2 + 2*x)*x^4 + 12*x*Log[x^2] - 6*x*Log[x^2]^2)/(144*x^4 - 24*E^(3 + x)*x^4 + E^(6 + 2*x)*x^4 + E^(4 + 4*x)*x^4 + E^(2 + 2*x)*(24*x^4 - 2*E^(3 + x)*x^4) + (-24*x^2 + 2*E^(3 + x)*x^2 - 2*E^(2 + 2*x)*x^2)*Log[x^2]^2 + Log[x^2]^4),x]","\frac{3 x^2}{\left(-e^{x+3}+e^{2 x+2}+12\right) x^2-\log ^2\left(x^2\right)}","\frac{3}{-\frac{\log ^2\left(x^2\right)}{x^2}-e^{x+3}+e^{2 x+2}+12}",1,"(3*x^2)/((12 - E^(3 + x) + E^(2 + 2*x))*x^2 - Log[x^2]^2)","A",1
6512,1,27,27,3.8973585,"\int \frac{\exp \left(\frac{1}{4} e^{\frac{x^2+2 x \log (4)+\log ^2(4)}{\log ^2\left(\frac{2 x^2}{5}\right)}}+\frac{x^2+2 x \log (4)+\log ^2(4)}{\log ^2\left(\frac{2 x^2}{5}\right)}\right) \left(-6 x^2-12 x \log (4)-6 \log ^2(4)+\left(3 x^2+3 x \log (4)\right) \log \left(\frac{2 x^2}{5}\right)\right)}{2 x \log ^3\left(\frac{2 x^2}{5}\right)} \, dx","Integrate[(E^(E^((x^2 + 2*x*Log[4] + Log[4]^2)/Log[(2*x^2)/5]^2)/4 + (x^2 + 2*x*Log[4] + Log[4]^2)/Log[(2*x^2)/5]^2)*(-6*x^2 - 12*x*Log[4] - 6*Log[4]^2 + (3*x^2 + 3*x*Log[4])*Log[(2*x^2)/5]))/(2*x*Log[(2*x^2)/5]^3),x]","3 e^{\frac{1}{4} e^{\frac{(x+\log (4))^2}{\log ^2\left(\frac{2 x^2}{5}\right)}}}","3 e^{\frac{1}{4} e^{\frac{(x+\log (4))^2}{\log ^2\left(\frac{2 x^2}{5}\right)}}}",1,"3*E^(E^((x + Log[4])^2/Log[(2*x^2)/5]^2)/4)","A",1
6513,1,40,34,4.1513913,"\int \frac{\exp \left(\frac{x-e^{2 e^{2 x}} x+16 x^2-x^3+4 x^2 \log (4)}{4+x}\right) \left(4+128 x+4 x^2-2 x^3+e^{2 e^{2 x}} \left(-4+e^{2 x} \left(-16 x-4 x^2\right)\right)+\left(32 x+4 x^2\right) \log (4)\right)}{16+8 x+x^2} \, dx","Integrate[(E^((x - E^(2*E^(2*x))*x + 16*x^2 - x^3 + 4*x^2*Log[4])/(4 + x))*(4 + 128*x + 4*x^2 - 2*x^3 + E^(2*E^(2*x))*(-4 + E^(2*x)*(-16*x - 4*x^2)) + (32*x + 4*x^2)*Log[4]))/(16 + 8*x + x^2),x]","2^{\frac{8 x^2}{x+4}} e^{-\frac{x \left(x^2-16 x+e^{2 e^{2 x}}-1\right)}{x+4}}","\exp \left(x \left(\frac{-e^{2 e^{2 x}}+4 x (5+\log (4))+1}{x+4}-x\right)\right)",1,"2^((8*x^2)/(4 + x))/E^((x*(-1 + E^(2*E^(2*x)) - 16*x + x^2))/(4 + x))","A",1
6514,1,22,22,0.1054275,"\int \frac{50-50 x+e^{e^x+3 x} \left(-12 x^2+12 x^3-3 x^4+e^x \left(-4 x^2+4 x^3-x^4\right)\right)}{4 x^2-4 x^3+x^4} \, dx","Integrate[(50 - 50*x + E^(E^x + 3*x)*(-12*x^2 + 12*x^3 - 3*x^4 + E^x*(-4*x^2 + 4*x^3 - x^4)))/(4*x^2 - 4*x^3 + x^4),x]","\frac{25}{(x-2) x}-e^{3 x+e^x}","\frac{25}{(x-2) x}-e^{3 x+e^x}",1,"-E^(E^x + 3*x) + 25/((-2 + x)*x)","A",1
6515,1,16,17,0.0173711,"\int \frac{-e^2 x^2+e^{16+2 x} (-5+10 x)}{e^2 x^2} \, dx","Integrate[(-(E^2*x^2) + E^(16 + 2*x)*(-5 + 10*x))/(E^2*x^2),x]","\frac{5 e^{2 (x+7)}}{x}-x","-x+\frac{5 e^{2 x+14}}{x}+5",1,"(5*E^(2*(7 + x)))/x - x","A",1
6516,1,18,19,0.0064828,"\int \frac{-10000 e^{2 x} x+\log (2 x)}{5000 x} \, dx","Integrate[(-10000*E^(2*x)*x + Log[2*x])/(5000*x),x]","\frac{\log ^2(2 x)}{10000}-e^{2 x}","-e^{2 x}+\frac{\log ^2(2 x)}{10000}+2",1,"-E^(2*x) + Log[2*x]^2/10000","A",1
6517,1,20,21,0.0194678,"\int \frac{-9 e^{\frac{9-3 x}{x}}+x^2-e^{\frac{1}{5} (2+5 x)} x^2}{x^2} \, dx","Integrate[(-9*E^((9 - 3*x)/x) + x^2 - E^((2 + 5*x)/5)*x^2)/x^2,x]","x+e^{\frac{9}{x}-3}-e^{x+\frac{2}{5}}","x+e^{\frac{9}{x}-3}-e^{x+\frac{2}{5}}-3",1,"E^(-3 + 9/x) - E^(2/5 + x) + x","A",1
6518,1,52,31,0.2007412,"\int \frac{-5 x^2-20 x^5-15 x^4 \log ^2(3)+e^{\frac{16-8 x+2 x^2}{x^2}} \left(160 x-40 x^2-10 x^3+\left(160-40 x-5 x^2\right) \log ^2(3)\right)}{x^4+2 x^7+x^{10}+\left(2 x^6+2 x^9\right) \log ^2(3)+x^8 \log ^4(3)+e^{\frac{2 \left(16-8 x+2 x^2\right)}{x^2}} \left(x^6+2 x^5 \log ^2(3)+x^4 \log ^4(3)\right)+e^{\frac{16-8 x+2 x^2}{x^2}} \left(2 x^5+2 x^8+\left(2 x^4+4 x^7\right) \log ^2(3)+2 x^6 \log ^4(3)\right)} \, dx","Integrate[(-5*x^2 - 20*x^5 - 15*x^4*Log[3]^2 + E^((16 - 8*x + 2*x^2)/x^2)*(160*x - 40*x^2 - 10*x^3 + (160 - 40*x - 5*x^2)*Log[3]^2))/(x^4 + 2*x^7 + x^10 + (2*x^6 + 2*x^9)*Log[3]^2 + x^8*Log[3]^4 + E^((2*(16 - 8*x + 2*x^2))/x^2)*(x^6 + 2*x^5*Log[3]^2 + x^4*Log[3]^4) + E^((16 - 8*x + 2*x^2)/x^2)*(2*x^5 + 2*x^8 + (2*x^4 + 4*x^7)*Log[3]^2 + 2*x^6*Log[3]^4)),x]","\frac{5 e^{8/x}}{x \left(e^{\frac{16}{x^2}+2} \left(x+\log ^2(3)\right)+e^{8/x} \left(x^3+x^2 \log ^2(3)+1\right)\right)}","\frac{5}{\left(x^2+e^{\frac{(x-4)^2}{x^2}+1}\right) x \left(x+\log ^2(3)\right)+x}",1,"(5*E^(8/x))/(x*(E^(2 + 16/x^2)*(x + Log[3]^2) + E^(8/x)*(1 + x^3 + x^2*Log[3]^2)))","A",1
6519,1,30,28,0.6274428,"\int \frac{e^{\frac{4}{x+\log (x)}} (-4-4 x)-2 x^2-x^3+x^4+\left(-4 x-4 x^2+2 x^3+2 x^4\right) \log (x)+\left(-2-5 x+x^2+4 x^3\right) \log ^2(x)+\left(-2+2 x^2\right) \log ^3(x)}{x^3+2 x^2 \log (x)+x \log ^2(x)} \, dx","Integrate[(E^(4/(x + Log[x]))*(-4 - 4*x) - 2*x^2 - x^3 + x^4 + (-4*x - 4*x^2 + 2*x^3 + 2*x^4)*Log[x] + (-2 - 5*x + x^2 + 4*x^3)*Log[x]^2 + (-2 + 2*x^2)*Log[x]^3)/(x^3 + 2*x^2*Log[x] + x*Log[x]^2),x]","x^2 \log (x)-x-\log ^2(x)+e^{\frac{4}{x+\log (x)}}-2 \log (x)","-\log (x) \left(-x^2+\log (x)+2\right)-x+e^{\frac{4}{x+\log (x)}}+1",1,"E^(4/(x + Log[x])) - x - 2*Log[x] + x^2*Log[x] - Log[x]^2","A",1
6520,1,22,23,0.1377105,"\int \frac{-8+4 x^2-8 x^2 \log (x)+\left(-8+4 x^2\right) \log \left(-2+x^2\right)+\left(\left(4 x-2 x^3\right) \log (x)+\left(4 x-2 x^3\right) \log (x) \log \left(-2+x^2\right)\right) \log ^3\left(\frac{1+2 \log \left(-2+x^2\right)+\log ^2\left(-2+x^2\right)}{\log ^2(x)}\right)}{\left(\left(-2 x+x^3\right) \log (x)+\left(-2 x+x^3\right) \log (x) \log \left(-2+x^2\right)\right) \log ^3\left(\frac{1+2 \log \left(-2+x^2\right)+\log ^2\left(-2+x^2\right)}{\log ^2(x)}\right)} \, dx","Integrate[(-8 + 4*x^2 - 8*x^2*Log[x] + (-8 + 4*x^2)*Log[-2 + x^2] + ((4*x - 2*x^3)*Log[x] + (4*x - 2*x^3)*Log[x]*Log[-2 + x^2])*Log[(1 + 2*Log[-2 + x^2] + Log[-2 + x^2]^2)/Log[x]^2]^3)/(((-2*x + x^3)*Log[x] + (-2*x + x^3)*Log[x]*Log[-2 + x^2])*Log[(1 + 2*Log[-2 + x^2] + Log[-2 + x^2]^2)/Log[x]^2]^3),x]","\frac{1}{\log ^2\left(\frac{\left(\log \left(x^2-2\right)+1\right)^2}{\log ^2(x)}\right)}-2 x","\frac{1}{\log ^2\left(\frac{\left(\log \left(x^2-2\right)+1\right)^2}{\log ^2(x)}\right)}-2 x+13",1,"-2*x + Log[(1 + Log[-2 + x^2])^2/Log[x]^2]^(-2)","A",1
6521,1,22,25,0.0620561,"\int \frac{150+e (-6-4 x)+100 x+36 x^2+16 x^3}{5625 x^2+3750 x^3+1525 x^4+600 x^5+136 x^6+24 x^7+4 x^8+e^2 \left(9 x^2+6 x^3+x^4\right)+e \left(-450 x^2-300 x^3-86 x^4-24 x^5-4 x^6\right)} \, dx","Integrate[(150 + E*(-6 - 4*x) + 100*x + 36*x^2 + 16*x^3)/(5625*x^2 + 3750*x^3 + 1525*x^4 + 600*x^5 + 136*x^6 + 24*x^7 + 4*x^8 + E^2*(9*x^2 + 6*x^3 + x^4) + E*(-450*x^2 - 300*x^3 - 86*x^4 - 24*x^5 - 4*x^6)),x]","-\frac{2}{x (x+3) \left(2 x^2-e+25\right)}","-\frac{2}{x^2 (x+3) \left(2 x+\frac{25-e}{x}\right)}",1,"-2/(x*(3 + x)*(25 - E + 2*x^2))","A",1
6522,1,25,23,1.4027308,"\int \frac{1}{625} e^{-2 x} \left(-920-200 e^2+258 x+1250 e^{2 x} x-18 x^2+e (-860+120 x)+e^x \left(1000+e (500-500 x)-1300 x+150 x^2\right)\right) \, dx","Integrate[(-920 - 200*E^2 + 258*x + 1250*E^(2*x)*x - 18*x^2 + E*(-860 + 120*x) + E^x*(1000 + E*(500 - 500*x) - 1300*x + 150*x^2))/(625*E^(2*x)),x]","\frac{1}{625} e^{-2 x} \left(25 e^x x-3 x+10 e+20\right)^2","\left(x-\frac{2}{5} e^{-x} \left(\frac{3 x}{10}-e-2\right)\right)^2",1,"(20 + 10*E - 3*x + 25*E^x*x)^2/(625*E^(2*x))","A",1
6523,1,2,4,0.0001511,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log (-x)",1,"Log[x]","A",1
6524,1,13,15,0.1801037,"\int \frac{-4+16 x-24 x^2+16 x^3-4 x^4+\left(24-80 x+96 x^2-48 x^3+8 x^4\right) \log (-3+x)}{(-3+x) \log ^3(-3+x)} \, dx","Integrate[(-4 + 16*x - 24*x^2 + 16*x^3 - 4*x^4 + (24 - 80*x + 96*x^2 - 48*x^3 + 8*x^4)*Log[-3 + x])/((-3 + x)*Log[-3 + x]^3),x]","\frac{2 (x-1)^4}{\log ^2(x-3)}","\frac{2 (1-x)^4}{\log ^2(x-3)}",1,"(2*(-1 + x)^4)/Log[-3 + x]^2","A",1
6525,1,27,29,0.6983271,"\int \frac{1}{135} e^{\frac{1}{27} \left(-54+27 e^{e^{\frac{5+x}{5}} x}+324 x+x^4\right)} \left(1620+20 x^3+e^{e^{\frac{5+x}{5}} x+\frac{5+x}{5}} (135+27 x)\right) \, dx","Integrate[(E^((-54 + 27*E^(E^((5 + x)/5)*x) + 324*x + x^4)/27)*(1620 + 20*x^3 + E^(E^((5 + x)/5)*x + (5 + x)/5)*(135 + 27*x)))/135,x]","e^{\frac{x^4}{27}+12 x+e^{e^{\frac{x}{5}+1} x}-2}","e^{3 x \left(\frac{x^3}{81}+4\right)+e^{e^{\frac{x}{5}+1} x}-2}",1,"E^(-2 + E^(E^(1 + x/5)*x) + 12*x + x^4/27)","A",1
6526,1,19,24,0.0882855,"\int \frac{10 x+x^2+e^x \left(-76-17 x-x^2\right)}{475+190 x+24 x^2+x^3+e^x \left(95+19 x+x^2\right)} \, dx","Integrate[(10*x + x^2 + E^x*(-76 - 17*x - x^2))/(475 + 190*x + 24*x^2 + x^3 + E^x*(95 + 19*x + x^2)),x]","\log \left(x^2+19 x+95\right)-\log \left(x+e^x+5\right)","-\log \left(x+e^x+5\right)+\log \left(4 \left((x+10)^2-x-5\right)\right)-4",1,"-Log[5 + E^x + x] + Log[95 + 19*x + x^2]","A",1
6527,1,22,23,0.220776,"\int \frac{e^{-1-6 x-x^2} \left(-1+\left(1+x-6 x^2-2 x^3\right) \log (x)+\left(-6 x-2 x^2\right) \log (x) \log \left(\frac{x}{\log (x)}\right)\right)}{x \log (x)} \, dx","Integrate[(E^(-1 - 6*x - x^2)*(-1 + (1 + x - 6*x^2 - 2*x^3)*Log[x] + (-6*x - 2*x^2)*Log[x]*Log[x/Log[x]]))/(x*Log[x]),x]","e^{-x^2-6 x-1} \left(x+\log \left(\frac{x}{\log (x)}\right)\right)","e^{-(x+1)^2-4 x} \left(x+\log \left(\frac{x}{\log (x)}\right)\right)",1,"E^(-1 - 6*x - x^2)*(x + Log[x/Log[x]])","A",1
6528,1,27,34,0.4667772,"\int \frac{e^x \left(e^{7-x} (-1-2 x)+e^4 \left(2+2 x+x^2\right)\right)}{16+4 e^{6-2 x}+e^{3-x} (-16-8 x)+16 x+4 x^2} \, dx","Integrate[(E^x*(E^(7 - x)*(-1 - 2*x) + E^4*(2 + 2*x + x^2)))/(16 + 4*E^(6 - 2*x) + E^(3 - x)*(-16 - 8*x) + 16*x + 4*x^2),x]","\frac{e^{2 x+4} x}{4 \left(e^x (x+2)-e^3\right)}","\frac{1}{4} e^4 \left(\frac{e^x x}{x-e^{3-x}+2}+5\right)-e^3",1,"(E^(4 + 2*x)*x)/(4*(-E^3 + E^x*(2 + x)))","A",1
6529,1,16,16,0.0061328,"\int \frac{\log (2)-\log (2) \log (x)+(1-\log (2)) \log ^2(x)}{\log ^2(x)} \, dx","Integrate[(Log[2] - Log[2]*Log[x] + (1 - Log[2])*Log[x]^2)/Log[x]^2,x]","x-\frac{x \log (2)}{\log (x)}-x \log (2)","x+\frac{x \log (2) (-\log (x)-1)}{\log (x)}",1,"x - x*Log[2] - (x*Log[2])/Log[x]","A",1
6530,1,22,26,0.1024909,"\int \frac{e^{-\frac{e^x}{\log (-9+x)}} \left(e^x x+e^x \left(9 x-x^2\right) \log (-9+x)+(9-x) \log ^2(-9+x)\right)}{\left(-45 x^2+5 x^3+e \left(-9 x^2+x^3\right)\right) \log ^2(-9+x)} \, dx","Integrate[(E^x*x + E^x*(9*x - x^2)*Log[-9 + x] + (9 - x)*Log[-9 + x]^2)/(E^(E^x/Log[-9 + x])*(-45*x^2 + 5*x^3 + E*(-9*x^2 + x^3))*Log[-9 + x]^2),x]","\frac{e^{-\frac{e^x}{\log (x-9)}}}{(5+e) x}","\frac{5 x+e^{-\frac{e^x}{\log (x-9)}}}{(5+e) x}",1,"1/(E^(E^x/Log[-9 + x])*(5 + E)*x)","A",1
6531,1,113,24,0.0839544,"\int \frac{-84 x-10 x^2+2 e^6 x^2+6 x^3+6 x^4+2 x^5+e^4 \left(16 x+10 x^2+6 x^3\right)+e^2 \left(14+46 x+30 x^2+16 x^3+6 x^4\right)+\left(-26 x+2 e^4 x-2 x^2+e^2 \left(2+6 x+2 x^2\right)\right) \log \left(25 e^x x\right)-2 x \log ^2\left(25 e^x x\right)}{e^6 x+3 e^4 x^2+3 e^2 x^3+x^4} \, dx","Integrate[(-84*x - 10*x^2 + 2*E^6*x^2 + 6*x^3 + 6*x^4 + 2*x^5 + E^4*(16*x + 10*x^2 + 6*x^3) + E^2*(14 + 46*x + 30*x^2 + 16*x^3 + 6*x^4) + (-26*x + 2*E^4*x - 2*x^2 + E^2*(2 + 6*x + 2*x^2))*Log[25*E^x*x] - 2*x*Log[25*E^x*x]^2)/(E^6*x + 3*E^4*x^2 + 3*E^2*x^3 + x^4),x]","\frac{x^4+2 e^2 x^3+6 x^3+e^4 x^2+14 e^2 x^2-5 x^2+14 e^4 x-32 e^2 x+28 x+\log ^2\left(25 e^x x\right)+2 \left(x+e^2\right)^2 \log (x)-2 \left(e^2 x-2 x+e^4-7\right) \log \left(25 e^x x\right)+6 e^6-23 e^4+49}{\left(x+e^2\right)^2}","\left(x+\frac{2 x+\log \left(25 e^x x\right)+7}{x+e^2}\right)^2",1,"(49 - 23*E^4 + 6*E^6 + 28*x - 32*E^2*x + 14*E^4*x - 5*x^2 + 14*E^2*x^2 + E^4*x^2 + 6*x^3 + 2*E^2*x^3 + x^4 + 2*(E^2 + x)^2*Log[x] - 2*(-7 + E^4 - 2*x + E^2*x)*Log[25*E^x*x] + Log[25*E^x*x]^2)/(E^2 + x)^2","B",1
6532,1,26,21,0.2689426,"\int \frac{-27-24 x+e^{x^2} \left(-93-126 x+122 x^2+144 x^3+32 x^4\right)}{9-54 x+57 x^2+72 x^3+16 x^4} \, dx","Integrate[(-27 - 24*x + E^x^2*(-93 - 126*x + 122*x^2 + 144*x^3 + 32*x^4))/(9 - 54*x + 57*x^2 + 72*x^3 + 16*x^4),x]","\frac{e^{x^2} (4 x+9)+3}{4 x^2+9 x-3}","\frac{e^{x^2}+x}{x-\frac{3}{4 x+9}}",1,"(3 + E^x^2*(9 + 4*x))/(-3 + 9*x + 4*x^2)","A",1
6533,1,59,34,0.4414235,"\int \frac{-384 x+96 x^2-12 x^3+e^{\frac{1}{4} \left(4 x+e^{-5+x} x-x^2\right)} \left(-48 x^2+60 x^3-36 x^4+6 x^5+e^{-5+x} \left(12 x^3+9 x^4-3 x^5\right)\right)+\left(-48 x^2+12 x^3\right) \log (-4+x)}{-256+64 x+e^{\frac{1}{2} \left(4 x+e^{-5+x} x-x^2\right)} \left(-16 x^2+4 x^3\right)+\left(-128 x+32 x^2\right) \log (-4+x)+\left(-16 x^2+4 x^3\right) \log ^2(-4+x)+e^{\frac{1}{4} \left(4 x+e^{-5+x} x-x^2\right)} \left(-128 x+32 x^2+\left(-32 x^2+8 x^3\right) \log (-4+x)\right)} \, dx","Integrate[(-384*x + 96*x^2 - 12*x^3 + E^((4*x + E^(-5 + x)*x - x^2)/4)*(-48*x^2 + 60*x^3 - 36*x^4 + 6*x^5 + E^(-5 + x)*(12*x^3 + 9*x^4 - 3*x^5)) + (-48*x^2 + 12*x^3)*Log[-4 + x])/(-256 + 64*x + E^((4*x + E^(-5 + x)*x - x^2)/2)*(-16*x^2 + 4*x^3) + (-128*x + 32*x^2)*Log[-4 + x] + (-16*x^2 + 4*x^3)*Log[-4 + x]^2 + E^((4*x + E^(-5 + x)*x - x^2)/4)*(-128*x + 32*x^2 + (-32*x^2 + 8*x^3)*Log[-4 + x])),x]","\frac{3 e^{\frac{x^2}{4}} x^2}{4 e^{\frac{x^2}{4}}+e^{\frac{x^2}{4}} x \log (x-4)+e^{\frac{1}{4} e^{x-5} x+x} x}","\frac{3 x}{e^{\frac{1}{4} \left(-x+e^{x-5}+4\right) x}+\frac{4}{x}+\log (x-4)}-1",1,"(3*E^(x^2/4)*x^2)/(4*E^(x^2/4) + E^(x + (E^(-5 + x)*x)/4)*x + E^(x^2/4)*x*Log[-4 + x])","A",1
6534,1,22,29,0.0131512,"\int \frac{e^4+16 x^4+e^2 \left(8 x+8 x^2\right)}{3 e^4+24 e^2 x^2+48 x^4} \, dx","Integrate[(E^4 + 16*x^4 + E^2*(8*x + 8*x^2))/(3*E^4 + 24*E^2*x^2 + 48*x^4),x]","\frac{1}{3} \left(x-\frac{e^2}{4 x^2+e^2}\right)","-x+\frac{1}{3} \left(\frac{x}{x+\frac{e^2}{4 x}}+4 x\right)-7",1,"(x - E^2/(E^2 + 4*x^2))/3","A",1
6535,1,38,31,0.0891633,"\int \frac{e^4 (90-18 x)+450 x-180 x^2+18 x^3+(-90+18 x) \log (2)+\left(e^4 \left(18 x+60 x^2-12 x^3\right)+\left(-18 x-60 x^2+12 x^3\right) \log (2)\right) \log (x)+\left(e^8 \left(-6 x+2 x^3\right)+e^4 \left(12 x-4 x^3\right) \log (2)+\left(-6 x+2 x^3\right) \log ^2(2)\right) \log ^2(x)}{225 x-90 x^2+9 x^3+\left(e^4 \left(30 x^2-6 x^3\right)+\left(-30 x^2+6 x^3\right) \log (2)\right) \log (x)+\left(e^8 x^3-2 e^4 x^3 \log (2)+x^3 \log ^2(2)\right) \log ^2(x)} \, dx","Integrate[(E^4*(90 - 18*x) + 450*x - 180*x^2 + 18*x^3 + (-90 + 18*x)*Log[2] + (E^4*(18*x + 60*x^2 - 12*x^3) + (-18*x - 60*x^2 + 12*x^3)*Log[2])*Log[x] + (E^8*(-6*x + 2*x^3) + E^4*(12*x - 4*x^3)*Log[2] + (-6*x + 2*x^3)*Log[2]^2)*Log[x]^2)/(225*x - 90*x^2 + 9*x^3 + (E^4*(30*x^2 - 6*x^3) + (-30*x^2 + 6*x^3)*Log[2])*Log[x] + (E^8*x^3 - 2*E^4*x^3*Log[2] + x^3*Log[2]^2)*Log[x]^2),x]","2 \left(x+\frac{3}{x}+\frac{9 (x-5)}{x \left(-3 x+x (-\log (2)) \log (x)+e^4 x \log (x)+15\right)}\right)","2 x+\frac{6}{x+\frac{3 (5-x)}{\left(e^4-\log (2)\right) \log (x)}}",1,"2*(3/x + x + (9*(-5 + x))/(x*(15 - 3*x + E^4*x*Log[x] - x*Log[2]*Log[x])))","A",1
6536,1,19,21,0.5075144,"\int \frac{\exp \left(e^{\frac{2 \left(3 e^x+30 x+x^2\right)}{x^2}}+\frac{2 \left(3 e^x+30 x+x^2\right)}{x^2}\right) \left(-60 x+e^x (-12+6 x)\right)}{x^3} \, dx","Integrate[(E^(E^((2*(3*E^x + 30*x + x^2))/x^2) + (2*(3*E^x + 30*x + x^2))/x^2)*(-60*x + E^x*(-12 + 6*x)))/x^3,x]","e^{e^{\frac{6 e^x}{x^2}+\frac{60}{x}+2}}","e^{e^{2-\frac{6 \left(-\frac{e^x}{x}-10\right)}{x}}}",1,"E^E^(2 + (6*E^x)/x^2 + 60/x)","A",1
6537,1,32,23,0.0041833,"\int \frac{e^{10} \left(246-250 e^2\right)-x^3-250 e^{10} \log \left(x^2\right)}{x^3} \, dx","Integrate[(E^10*(246 - 250*E^2) - x^3 - 250*E^10*Log[x^2])/x^3,x]","\frac{125 e^{12}}{x^2}+\frac{2 e^{10}}{x^2}+\frac{125 e^{10} \log \left(x^2\right)}{x^2}-x","\frac{e^{10} \left(125 \left(\log \left(x^2\right)+e^2\right)+2\right)}{x^2}-x",1,"(2*E^10)/x^2 + (125*E^12)/x^2 - x + (125*E^10*Log[x^2])/x^2","A",1
6538,1,75,26,0.0001127,"\int \frac{405+\log ^4(4)+81 e^2 \log (5)}{5 \log ^4(4)+e^2 \log ^4(4) \log (5)} \, dx","Integrate[(405 + Log[4]^4 + 81*E^2*Log[5])/(5*Log[4]^4 + E^2*Log[4]^4*Log[5]),x]","\frac{81 e^2 x \log (5)}{5 \log ^4(4)+e^2 \log ^4(4) \log (5)}+\frac{x \log ^4(4)}{5 \log ^4(4)+e^2 \log ^4(4) \log (5)}+\frac{405 x}{5 \log ^4(4)+e^2 \log ^4(4) \log (5)}","\frac{81 x}{\log ^4(4)}-\frac{25-x}{5+e^2 \log (5)}-1",1,"(405*x)/(5*Log[4]^4 + E^2*Log[4]^4*Log[5]) + (x*Log[4]^4)/(5*Log[4]^4 + E^2*Log[4]^4*Log[5]) + (81*E^2*x*Log[5])/(5*Log[4]^4 + E^2*Log[4]^4*Log[5])","B",1
6539,1,38,24,0.2376977,"\int \frac{-x^3-2 x^4+e^x \left(-8 x^3-2 e^6 x^3-2 x^4\right)+e^{2 x} \left(18+e^{12} (2-2 x)-12 x-12 x^2-2 x^3+e^6 \left(12-10 x-4 x^2\right)\right)+\left(x^3+x^4+e^x \left(6 x^2+2 e^6 x^2+2 x^3\right)+e^{2 x} \left(9+e^{12}+6 x+x^2+e^6 (6+2 x)\right)\right) \log \left(\frac{x^3+x^4+e^x \left(6 x^2+2 e^6 x^2+2 x^3\right)+e^{2 x} \left(9+e^{12}+6 x+x^2+e^6 (6+2 x)\right)}{x^2}\right)}{\left(x^3+x^4+e^x \left(6 x^2+2 e^6 x^2+2 x^3\right)+e^{2 x} \left(9+e^{12}+6 x+x^2+e^6 (6+2 x)\right)\right) \log ^2\left(\frac{x^3+x^4+e^x \left(6 x^2+2 e^6 x^2+2 x^3\right)+e^{2 x} \left(9+e^{12}+6 x+x^2+e^6 (6+2 x)\right)}{x^2}\right)} \, dx","Integrate[(-x^3 - 2*x^4 + E^x*(-8*x^3 - 2*E^6*x^3 - 2*x^4) + E^(2*x)*(18 + E^12*(2 - 2*x) - 12*x - 12*x^2 - 2*x^3 + E^6*(12 - 10*x - 4*x^2)) + (x^3 + x^4 + E^x*(6*x^2 + 2*E^6*x^2 + 2*x^3) + E^(2*x)*(9 + E^12 + 6*x + x^2 + E^6*(6 + 2*x)))*Log[(x^3 + x^4 + E^x*(6*x^2 + 2*E^6*x^2 + 2*x^3) + E^(2*x)*(9 + E^12 + 6*x + x^2 + E^6*(6 + 2*x)))/x^2])/((x^3 + x^4 + E^x*(6*x^2 + 2*E^6*x^2 + 2*x^3) + E^(2*x)*(9 + E^12 + 6*x + x^2 + E^6*(6 + 2*x)))*Log[(x^3 + x^4 + E^x*(6*x^2 + 2*E^6*x^2 + 2*x^3) + E^(2*x)*(9 + E^12 + 6*x + x^2 + E^6*(6 + 2*x)))/x^2]^2),x]","\frac{x}{\log \left(x^2+\frac{e^{2 x} \left(x+e^6+3\right)^2}{x^2}+x+2 e^x \left(x+e^6+3\right)\right)}","\frac{x}{\log \left(\left(x+\frac{e^x \left(x+e^6+3\right)}{x}\right)^2+x\right)}",1,"x/Log[x + x^2 + 2*E^x*(3 + E^6 + x) + (E^(2*x)*(3 + E^6 + x)^2)/x^2]","A",1
6540,1,71,20,0.0577469,"\int \frac{e^{-\frac{2 e^8}{x^4}} \left(36 e^8+e^{\frac{2 e^8}{x^4}} x^6+e^{\frac{e^8}{x^4}} \left(12 e^8 x+3 x^5\right)\right)}{3 x^5} \, dx","Integrate[(36*E^8 + E^((2*E^8)/x^4)*x^6 + E^(E^8/x^4)*(12*E^8*x + 3*x^5))/(3*E^((2*E^8)/x^4)*x^5),x]","\frac{3}{2} e^{-\frac{2 e^8}{x^4}}+\frac{1}{4} e^2 \sqrt[4]{\frac{1}{x^4}} x \Gamma \left(-\frac{1}{4},\frac{e^8}{x^4}\right)+e^2 \sqrt[4]{\frac{1}{x^4}} x \Gamma \left(\frac{3}{4},\frac{e^8}{x^4}\right)+\frac{x^2}{6}","\frac{1}{6} \left(3 e^{-\frac{e^8}{x^4}}+x\right)^2",1,"3/(2*E^((2*E^8)/x^4)) + x^2/6 + (E^2*(x^(-4))^(1/4)*x*Gamma[-1/4, E^8/x^4])/4 + E^2*(x^(-4))^(1/4)*x*Gamma[3/4, E^8/x^4]","C",1
6541,1,41,33,0.2695004,"\int \frac{-x^2+\left(e^x \left(2 x^2+2 x^3+75 x^4+65 x^5+15 x^6+x^7\right)+e^{2 x} \left(-40 x-1000 x^3-400 x^4-6290 x^5-5000 x^6-1500 x^7-200 x^8-10 x^9\right)\right) \log (x)+\left(-x^2+e^x \left(40 x+500 x^3+200 x^4+20 x^5\right)\right) \log (x) \log (\log (x))-10 x \log (x) \log ^2(\log (x))}{\left(x^2+e^x \left(-20 x-250 x^3-100 x^4-10 x^5\right)+e^{2 x} \left(100+2500 x^2+1000 x^3+15725 x^4+12500 x^5+3750 x^6+500 x^7+25 x^8\right)\right) \log (x)+\left(10 x+e^x \left(-100-1250 x^2-500 x^3-50 x^4\right)\right) \log (x) \log (\log (x))+25 \log (x) \log ^2(\log (x))} \, dx","Integrate[(-x^2 + (E^x*(2*x^2 + 2*x^3 + 75*x^4 + 65*x^5 + 15*x^6 + x^7) + E^(2*x)*(-40*x - 1000*x^3 - 400*x^4 - 6290*x^5 - 5000*x^6 - 1500*x^7 - 200*x^8 - 10*x^9))*Log[x] + (-x^2 + E^x*(40*x + 500*x^3 + 200*x^4 + 20*x^5))*Log[x]*Log[Log[x]] - 10*x*Log[x]*Log[Log[x]]^2)/((x^2 + E^x*(-20*x - 250*x^3 - 100*x^4 - 10*x^5) + E^(2*x)*(100 + 2500*x^2 + 1000*x^3 + 15725*x^4 + 12500*x^5 + 3750*x^6 + 500*x^7 + 25*x^8))*Log[x] + (10*x + E^x*(-100 - 1250*x^2 - 500*x^3 - 50*x^4))*Log[x]*Log[Log[x]] + 25*Log[x]*Log[Log[x]]^2),x]","-\frac{1}{5} x^2 \left(1-\frac{x}{-5 e^x \left(x^4+10 x^3+25 x^2+2\right)+x+5 \log (\log (x))}\right)","\frac{x^2}{\frac{x}{e^x \left(x^2 (x+5)^2+2\right)-\log (\log (x))}-5}",1,"-1/5*(x^2*(1 - x/(x - 5*E^x*(2 + 25*x^2 + 10*x^3 + x^4) + 5*Log[Log[x]])))","A",1
6542,1,13,27,0.0019154,"\int \frac{5+e^2 (-1-4 x)+20 x}{x} \, dx","Integrate[(5 + E^2*(-1 - 4*x) + 20*x)/x,x]","-\left(\left(e^2-5\right) (4 x+\log (x))\right)","\left(5-e^2\right) \left(\frac{(2 x+2)^2-4}{x}+\log (3 x)-4\right)",1,"-((-5 + E^2)*(4*x + Log[x]))","A",1
6543,1,17,18,0.0159366,"\int 144 e^{-10+2 x+6 x^4} x \left(2+2 x+24 x^4\right) \, dx","Integrate[144*E^(-10 + 2*x + 6*x^4)*x*(2 + 2*x + 24*x^4),x]","144 e^{2 \left(3 x^4+x-5\right)} x^2","e^{2 \left(3 x^4+x+\log (12 x)-4\right)-2}",1,"144*E^(2*(-5 + x + 3*x^4))*x^2","A",1
6544,1,57,21,0.0101379,"\int \frac{96-1896 x+6246 x^2-1230 x^3+3072 x^4+\left(24-384 x+54 x^2-288 x^3\right) \log (x)+6 x^2 \log ^2(x)}{x} \, dx","Integrate[(96 - 1896*x + 6246*x^2 - 1230*x^3 + 3072*x^4 + (24 - 384*x + 54*x^2 - 288*x^3)*Log[x] + 6*x^2*Log[x]^2)/x,x]","768 x^4-378 x^3-96 x^3 \log (x)+3111 x^2+3 x^2 \log ^2(x)+24 x^2 \log (x)-1512 x+12 \log ^2(x)-384 x \log (x)+96 \log (x)","3 \left(x^2+4\right) \left(2 x+(-16 x+\log (x)+4)^2-3\right)",1,"-1512*x + 3111*x^2 - 378*x^3 + 768*x^4 + 96*Log[x] - 384*x*Log[x] + 24*x^2*Log[x] - 96*x^3*Log[x] + 12*Log[x]^2 + 3*x^2*Log[x]^2","B",1
6545,1,30,34,0.0813131,"\int \frac{100-160 x-20 x^2+6 x^3+e^x \left(150 x+30 x^2-10 x^3\right)}{\left(-25 x+30 x^2-x^4+e^x \left(-25 x^2+5 x^3\right)\right) \log ^2\left(\frac{25 x^4-50 x^5+15 x^6+25 e^{2 x} x^6+10 x^7+x^8+e^x \left(50 x^5-50 x^6-10 x^7\right)}{625-250 x+25 x^2}\right)} \, dx","Integrate[(100 - 160*x - 20*x^2 + 6*x^3 + E^x*(150*x + 30*x^2 - 10*x^3))/((-25*x + 30*x^2 - x^4 + E^x*(-25*x^2 + 5*x^3))*Log[(25*x^4 - 50*x^5 + 15*x^6 + 25*E^(2*x)*x^6 + 10*x^7 + x^8 + E^x*(50*x^5 - 50*x^6 - 10*x^7))/(625 - 250*x + 25*x^2)]^2),x]","\frac{1}{\log \left(\frac{x^4 \left(x^2-5 \left(e^x-1\right) x-5\right)^2}{25 (x-5)^2}\right)}","\frac{1}{\log \left(\frac{x^2 \left(\left(\frac{x}{5}-e^x+1\right) x^2-x\right)^2}{(x-5)^2}\right)}",1,"Log[(x^4*(-5 - 5*(-1 + E^x)*x + x^2)^2)/(25*(-5 + x)^2)]^(-1)","A",1
6546,1,16,16,0.0009878,"\int \frac{1}{3} \left(-e^2-4 x\right) \, dx","Integrate[(-E^2 - 4*x)/3,x]","\frac{1}{3} \left(-2 x^2-e^2 x\right)","\frac{19}{3}-\frac{1}{3} x \left(2 x+e^2\right)",1,"(-(E^2*x) - 2*x^2)/3","A",1
6547,1,14,30,0.0691964,"\int e^{-4 e^x} \left(-2 x-2 e^{4 e^x} x+4 e^x x^2\right) \, dx","Integrate[(-2*x - 2*E^(4*E^x)*x + 4*E^x*x^2)/E^(4*E^x),x]","-\left(\left(e^{-4 e^x}+1\right) x^2\right)","-x \left(e^{-4 e^x} x+x\right)+i \pi +\log \left(e^{e^{4 e}}-2\right)",1,"-((1 + E^(-4*E^x))*x^2)","A",1
6548,1,9,8,0.0026712,"\int \frac{-5+2 x}{-5 x+x^2} \, dx","Integrate[(-5 + 2*x)/(-5*x + x^2),x]","\log (5-x)+\log (x)","\log ((5-x) x)",1,"Log[5 - x] + Log[x]","A",1
6549,1,31,30,0.8013795,"\int \frac{e^{8+2 x-10 x^2} (-18-9 x)+e^{4+x-5 x^2} \left(6-3 x+30 x^2\right)}{x^3+e^{4+x-5 x^2} \left(-6 x^3-2 x^4\right)+e^{8+2 x-10 x^2} \left(9 x^3+6 x^4+x^5\right)} \, dx","Integrate[(E^(8 + 2*x - 10*x^2)*(-18 - 9*x) + E^(4 + x - 5*x^2)*(6 - 3*x + 30*x^2))/(x^3 + E^(4 + x - 5*x^2)*(-6*x^3 - 2*x^4) + E^(8 + 2*x - 10*x^2)*(9*x^3 + 6*x^4 + x^5)),x]","\frac{3 e^{x+4}}{x^2 \left(e^{x+4} (x+3)-e^{5 x^2}\right)}","\frac{3}{x \left(x (x+3)-e^{5 x^2-x-4} x\right)}-3",1,"(3*E^(4 + x))/(x^2*(-E^(5*x^2) + E^(4 + x)*(3 + x)))","A",1
6550,1,19,16,0.0979454,"\int \frac{-9 x^2+18 x^3-9 x^4+e^{\frac{2}{-1+x}} \left(9 x^2-24 x^3+9 x^4\right)}{1-2 x+x^2} \, dx","Integrate[(-9*x^2 + 18*x^3 - 9*x^4 + E^(2/(-1 + x))*(9*x^2 - 24*x^3 + 9*x^4))/(1 - 2*x + x^2),x]","3 \left(\left(e^{\frac{2}{x-1}}-1\right) x^3+1\right)","3 \left(e^{\frac{2}{x-1}}-1\right) x^3",1,"3*(1 + (-1 + E^(2/(-1 + x)))*x^3)","A",1
6551,1,27,21,0.391292,"\int \frac{-4 x+32 x^2+e^x \left(2 x-16 x^2\right)+\left(2-16 x+e^x (-1+8 x)\right) \log \left(-2+e^x\right)+\left(-4 x+16 x^2+e^x \left(x-4 x^2\right)\right) \log \left(-x+4 x^2\right)}{2 x-8 x^2+e^x \left(-x+4 x^2\right)} \, dx","Integrate[(-4*x + 32*x^2 + E^x*(2*x - 16*x^2) + (2 - 16*x + E^x*(-1 + 8*x))*Log[-2 + E^x] + (-4*x + 16*x^2 + E^x*(x - 4*x^2))*Log[-x + 4*x^2])/(2*x - 8*x^2 + E^x*(-x + 4*x^2)),x]","\log \left(e^x-2\right) \log (x (4 x-1))-2 x \log (x (4 x-1))","\left(\log \left(e^x-2\right)-2 x\right) \log \left(4 x^2-x\right)",1,"-2*x*Log[x*(-1 + 4*x)] + Log[-2 + E^x]*Log[x*(-1 + 4*x)]","A",1
6552,1,17,18,0.0011296,"\int \frac{-771+3 e^5-3 e^{16}}{10 x^2} \, dx","Integrate[(-771 + 3*E^5 - 3*E^16)/(10*x^2),x]","\frac{3 \left(257-e^5+e^{16}\right)}{10 x}","\frac{3 \left(x+e^{16}-e^5+257\right)}{10 x}",1,"(3*(257 - E^5 + E^16))/(10*x)","A",1
6553,1,42,36,0.346048,"\int \frac{-16 x+\left(32 x^2+8 e^x x^2\right) \log ^2(x)+e^{\frac{2 e^{2 x}-10 x}{x}} \left(8 x+e^{2 x} (-16+32 x) \log (x)+\left(-16 x^2-4 e^x x^2+e^{2 x} \left(-32 x+64 x^2+e^x (-8+16 x)\right)\right) \log ^2(x)\right)}{4 x^2 \log ^2(x)-4 e^{\frac{2 e^{2 x}-10 x}{x}} x^2 \log ^2(x)+e^{\frac{2 \left(2 e^{2 x}-10 x\right)}{x}} x^2 \log ^2(x)} \, dx","Integrate[(-16*x + (32*x^2 + 8*E^x*x^2)*Log[x]^2 + E^((2*E^(2*x) - 10*x)/x)*(8*x + E^(2*x)*(-16 + 32*x)*Log[x] + (-16*x^2 - 4*E^x*x^2 + E^(2*x)*(-32*x + 64*x^2 + E^x*(-8 + 16*x)))*Log[x]^2))/(4*x^2*Log[x]^2 - 4*E^((2*E^(2*x) - 10*x)/x)*x^2*Log[x]^2 + E^((2*(2*E^(2*x) - 10*x))/x)*x^2*Log[x]^2),x]","-\frac{4 e^{10} \left(e^x \log (x)+4 x \log (x)+2\right)}{\left(e^{\frac{2 e^{2 x}}{x}}-2 e^{10}\right) \log (x)}","\frac{4 \left(4 x+e^x+\frac{2}{\log (x)}\right)}{2-e^{2 \left(\frac{e^{2 x}}{x}-5\right)}}",1,"(-4*E^10*(2 + E^x*Log[x] + 4*x*Log[x]))/((-2*E^10 + E^((2*E^(2*x))/x))*Log[x])","A",1
6554,1,39,23,0.1173263,"\int \left(8+8 x+e^{2 x} \left(2 e^{10}+e^5 (-2-4 x)+2 x+2 x^2\right)+e^x \left(-4-12 x-4 x^2+e^5 (8+4 x)\right)\right) \, dx","Integrate[8 + 8*x + E^(2*x)*(2*E^10 + E^5*(-2 - 4*x) + 2*x + 2*x^2) + E^x*(-4 - 12*x - 4*x^2 + E^5*(8 + 4*x)),x]","4 x^2+e^{2 x} \left(e^5-x\right)^2+4 e^x (x+1) \left(e^5-x\right)+8 x","\left(-e^x \left(1-\frac{e^5}{x}\right) x+2 x+2\right)^2",1,"E^(2*x)*(E^5 - x)^2 + 8*x + 4*x^2 + 4*E^x*(E^5 - x)*(1 + x)","A",1
6555,1,127,29,0.2121338,"\int \frac{-e^3 x+\left(64+32 x+4 x^2\right) \log \left(\frac{1}{4} e^{\frac{576+144 x+e^3 x}{64+16 x}}\right)}{\left(160+80 x+10 x^2\right) \log ^2\left(\frac{1}{4} e^{\frac{576+144 x+e^3 x}{64+16 x}}\right)} \, dx","Integrate[(-(E^3*x) + (64 + 32*x + 4*x^2)*Log[E^((576 + 144*x + E^3*x)/(64 + 16*x))/4])/((160 + 80*x + 10*x^2)*Log[E^((576 + 144*x + E^3*x)/(64 + 16*x))/4]^2),x]","\frac{2 \left(4 e^3 \left(x^2-16\right) \log \left(\frac{1}{4} e^{\frac{e^3 x}{16 x+64}+9}\right)+e^6 x+16 x (x+4)^2 \log ^2\left(\frac{1}{4} e^{\frac{e^3 x}{16 x+64}+9}\right)\right)}{5 \log \left(\frac{1}{4} e^{\frac{e^3 x}{16 x+64}+9}\right) \left(4 (x+4) \log \left(\frac{1}{4} e^{\frac{e^3 x}{16 x+64}+9}\right)+e^3\right)^2}","\frac{2 x}{5 \log \left(\frac{1}{4} e^{\frac{e^3 x}{16 (x+4)}+9}\right)}",1,"(2*(E^6*x + 4*E^3*(-16 + x^2)*Log[E^(9 + (E^3*x)/(64 + 16*x))/4] + 16*x*(4 + x)^2*Log[E^(9 + (E^3*x)/(64 + 16*x))/4]^2))/(5*Log[E^(9 + (E^3*x)/(64 + 16*x))/4]*(E^3 + 4*(4 + x)*Log[E^(9 + (E^3*x)/(64 + 16*x))/4])^2)","B",1
6556,1,20,20,0.3717042,"\int \frac{20+e^{12+2 x} (-8-40 x) \log (2+10 x)}{e^{12+2 x} (-1-5 x) \log (2+10 x)+(1+5 x) \log (2+10 x) \log (\log (2+10 x))} \, dx","Integrate[(20 + E^(12 + 2*x)*(-8 - 40*x)*Log[2 + 10*x])/(E^(12 + 2*x)*(-1 - 5*x)*Log[2 + 10*x] + (1 + 5*x)*Log[2 + 10*x]*Log[Log[2 + 10*x]]),x]","4 \log \left(e^{2 (x+6)}-\log (\log (10 x+2))\right)","4 \log \left(e^{2 x+12}-\log (\log (10 x+2))\right)",1,"4*Log[E^(2*(6 + x)) - Log[Log[2 + 10*x]]]","A",1
6557,1,20,18,0.0024582,"\int \frac{-112-28 x+e^5 x^3}{e^5 x^3} \, dx","Integrate[(-112 - 28*x + E^5*x^3)/(E^5*x^3),x]","\frac{\frac{56}{x^2}+e^5 x+\frac{28}{x}}{e^5}","\frac{28 \left(-x^2+x+2\right)}{e^5 x^2}+x",1,"(56/x^2 + 28/x + E^5*x)/E^5","A",1
6558,1,38,32,0.1155695,"\int \frac{\left(50 e^{5+2 x}+450 x^2-300 x^3+50 x^4+e^5 \left(450 x^2-300 x^3+50 x^4\right)+e^x \left(-300 x+300 x^2-50 x^3+e^5 \left(-300 x+100 x^2\right)\right)\right) \log \left(\frac{2 e^{5+x} x-6 x^2+2 x^3+e^5 \left(-6 x^2+2 x^3\right)}{e^x-3 x+x^2}\right)}{e^{5+2 x} x+9 x^3-6 x^4+x^5+e^5 \left(9 x^3-6 x^4+x^5\right)+e^x \left(-3 x^2+x^3+e^5 \left(-6 x^2+2 x^3\right)\right)} \, dx","Integrate[((50*E^(5 + 2*x) + 450*x^2 - 300*x^3 + 50*x^4 + E^5*(450*x^2 - 300*x^3 + 50*x^4) + E^x*(-300*x + 300*x^2 - 50*x^3 + E^5*(-300*x + 100*x^2)))*Log[(2*E^(5 + x)*x - 6*x^2 + 2*x^3 + E^5*(-6*x^2 + 2*x^3))/(E^x - 3*x + x^2)])/(E^(5 + 2*x)*x + 9*x^3 - 6*x^4 + x^5 + E^5*(9*x^3 - 6*x^4 + x^5) + E^x*(-3*x^2 + x^3 + E^5*(-6*x^2 + 2*x^3))),x]","25 \log ^2\left(\frac{2 x \left(e^5 (x-3) x+(x-3) x+e^{x+5}\right)}{(x-3) x+e^x}\right)","25 \log ^2\left(2 x \left(\frac{x}{x-\frac{e^x}{3-x}}+e^5\right)\right)+e",1,"25*Log[(2*x*(E^(5 + x) + (-3 + x)*x + E^5*(-3 + x)*x))/(E^x + (-3 + x)*x)]^2","A",1
6559,1,43,32,0.1155773,"\int \frac{e^{-32 x^2} \left(4394 x-140608 x^3-2028 x^5+64896 x^7+1326 x^9-42432 x^{11}-328 x^{13}+10496 x^{15}+102 x^{17}-3264 x^{19}-12 x^{21}+384 x^{23}+2 x^{25}-64 x^{27}+e^{32 x^2} \left(4096 x^3-4096 x^7\right)+e^{16 x^2} \left(-5408+173056 x^2-1664 x^4-53248 x^6+2880 x^8+30720 x^{10}-640 x^{12}-4096 x^{14}+224 x^{16}+1024 x^{18}\right)\right)}{2197-1014 x^4+663 x^8-164 x^{12}+51 x^{16}-6 x^{20}+x^{24}} \, dx","Integrate[(4394*x - 140608*x^3 - 2028*x^5 + 64896*x^7 + 1326*x^9 - 42432*x^11 - 328*x^13 + 10496*x^15 + 102*x^17 - 3264*x^19 - 12*x^21 + 384*x^23 + 2*x^25 - 64*x^27 + E^(32*x^2)*(4096*x^3 - 4096*x^7) + E^(16*x^2)*(-5408 + 173056*x^2 - 1664*x^4 - 53248*x^6 + 2880*x^8 + 30720*x^10 - 640*x^12 - 4096*x^14 + 224*x^16 + 1024*x^18))/(E^(32*x^2)*(2197 - 1014*x^4 + 663*x^8 - 164*x^12 + 51*x^16 - 6*x^20 + x^24)),x]","\frac{e^{-32 x^2} \left(x^9-2 x^5-16 e^{16 x^2}+13 x\right)^2}{\left(x^8-2 x^4+13\right)^2}","\left(\frac{4}{\frac{1}{4} \left(1-x^4\right)^2+3}-e^{-16 x^2} x\right)^2",1,"(-16*E^(16*x^2) + 13*x - 2*x^5 + x^9)^2/(E^(32*x^2)*(13 - 2*x^4 + x^8)^2)","A",1
6560,1,27,28,1.2631436,"\int \frac{69 x-16 x^2+x^3+e^x \left(-69+16 x-x^2\right)+\left(216-123 x+20 x^2-x^3+e^x \left(-216+123 x-20 x^2+x^3\right)\right) \log \left(\frac{-27+12 x-x^2}{-8+x}\right)}{-216 x^2+123 x^3-20 x^4+x^5+e^{2 x} \left(-216+123 x-20 x^2+x^3\right)+e^x \left(432 x-246 x^2+40 x^3-2 x^4\right)} \, dx","Integrate[(69*x - 16*x^2 + x^3 + E^x*(-69 + 16*x - x^2) + (216 - 123*x + 20*x^2 - x^3 + E^x*(-216 + 123*x - 20*x^2 + x^3))*Log[(-27 + 12*x - x^2)/(-8 + x)])/(-216*x^2 + 123*x^3 - 20*x^4 + x^5 + E^(2*x)*(-216 + 123*x - 20*x^2 + x^3) + E^x*(432*x - 246*x^2 + 40*x^3 - 2*x^4)),x]","-\frac{\log \left(-\frac{x^2-12 x+27}{x-8}\right)}{e^x-x}","4-\frac{\log \left(-x-\frac{5}{8-x}+4\right)}{e^x-x}",1,"-(Log[-((27 - 12*x + x^2)/(-8 + x))]/(E^x - x))","A",1
6561,1,6,20,0.0018064,"\int \frac{2 x}{3+x^2} \, dx","Integrate[(2*x)/(3 + x^2),x]","\log \left(x^2+3\right)","\log \left(3 e^{-e^4} x \left(x+\frac{3}{x}\right)\right)+3",1,"Log[3 + x^2]","A",1
6562,1,19,21,0.0404511,"\int \frac{9 x^2+4 x^3+e^x \left(-6 x-6 x^2-x^3\right)}{2 \log (9)} \, dx","Integrate[(9*x^2 + 4*x^3 + E^x*(-6*x - 6*x^2 - x^3))/(2*Log[9]),x]","-\frac{\left(e^x-x\right) x^2 (x+3)}{\log (81)}","\frac{x^2 (x+3) \left(x-e^x\right)}{2 \log (9)}",1,"-(((E^x - x)*x^2*(3 + x))/Log[81])","A",1
6563,-1,0,29,180.1790419,"\int \frac{6 e^{\frac{x^2}{3}} x \log \left(\frac{-2+x}{5 x}\right)+e^{\frac{x^2}{3}} \left(-6 x+3 x^2-2 x^3+x^4\right) \log ^2\left(\frac{-2+x}{5 x}\right)}{-12+6 x} \, dx","Integrate[(6*E^(x^2/3)*x*Log[(-2 + x)/(5*x)] + E^(x^2/3)*(-6*x + 3*x^2 - 2*x^3 + x^4)*Log[(-2 + x)/(5*x)]^2)/(-12 + 6*x),x]","\text{\$Aborted}","\frac{1}{4} e^{\frac{x^2}{3}} x^2 \log ^2\left(\frac{x-2}{5 x}\right)",1,"$Aborted","F",-1
6564,1,35,27,0.0083079,"\int \frac{(9-9 x) \log (10)+(10-6 x) \log (10) \log (x)-5 \log (10) \log ^2(x)}{3 x^2} \, dx","Integrate[((9 - 9*x)*Log[10] + (10 - 6*x)*Log[10]*Log[x] - 5*Log[10]*Log[x]^2)/(3*x^2),x]","\frac{5 \log (10) \log ^2(x)}{3 x}-\log (10) \log ^2(x)-3 \log (10) \log (x)-\frac{3 \log (10)}{x}","\log (10) \left(-\frac{3}{x}+\log (x) \left(\left(\frac{5}{3 x}-1\right) \log (x)-3\right)-5\right)",1,"(-3*Log[10])/x - 3*Log[10]*Log[x] - Log[10]*Log[x]^2 + (5*Log[10]*Log[x]^2)/(3*x)","A",1
6565,1,23,34,0.0145166,"\int \frac{1}{375} e^{-x} \left(-25+e^x (50-2 x)+25 x\right) \, dx","Integrate[(-25 + E^x*(50 - 2*x) + 25*x)/(375*E^x),x]","-\frac{x^2}{375}-\frac{e^{-x} x}{15}+\frac{2 x}{15}","\frac{1}{5} \left(\frac{1}{3} \left(-\frac{x^2}{25}-e^{-x} x-x+4\right)+x+e^2+2\right)",1,"(2*x)/15 - x/(15*E^x) - x^2/375","A",1
6566,1,16,16,0.0956502,"\int \frac{e^{\frac{e^{-x/3}}{16 x^4}-\frac{x}{3}} (-12-x)}{48 x^5} \, dx","Integrate[(E^(1/(16*E^(x/3)*x^4) - x/3)*(-12 - x))/(48*x^5),x]","e^{\frac{e^{-x/3}}{16 x^4}}","e^{\frac{e^{-x/3}}{16 x^4}}",1,"E^(1/(16*E^(x/3)*x^4))","A",1
6567,1,28,27,0.0729426,"\int \frac{1}{3} \exp \left(\frac{1}{9} \left(e^2+e^{6 x}+9 e^{2 e^{5 e^x} x}+2 e^{1+3 x}+e^{e^{5 e^x} x} \left(6 e+6 e^{3 x}\right)\right)\right) \left(2 e^{6 x}+2 e^{1+3 x}+e^{5 e^x+2 e^{5 e^x} x} \left(6+30 e^x x\right)+e^{e^{5 e^x} x} \left(6 e^{3 x}+e^{5 e^x} \left(2 e+10 e^{1+x} x+e^{3 x} \left(2+10 e^x x\right)\right)\right)\right) \, dx","Integrate[(E^((E^2 + E^(6*x) + 9*E^(2*E^(5*E^x)*x) + 2*E^(1 + 3*x) + E^(E^(5*E^x)*x)*(6*E + 6*E^(3*x)))/9)*(2*E^(6*x) + 2*E^(1 + 3*x) + E^(5*E^x + 2*E^(5*E^x)*x)*(6 + 30*E^x*x) + E^(E^(5*E^x)*x)*(6*E^(3*x) + E^(5*E^x)*(2*E + 10*E^(1 + x)*x + E^(3*x)*(2 + 10*E^x*x)))))/3,x]","e^{\frac{1}{9} \left(e^{3 x}+3 e^{e^{5 e^x} x}+e\right)^2}","e^{\left(\frac{1}{3} \left(e^{3 x}+e\right)+e^{e^{5 e^x} x}\right)^2}",1,"E^((E + E^(3*x) + 3*E^(E^(5*E^x)*x))^2/9)","A",1
6568,1,25,30,0.0130466,"\int \frac{1996 x^3+e^2 (-15968+9624 x)}{996004 x^3-800396 x^4+160801 x^5} \, dx","Integrate[(1996*x^3 + E^2*(-15968 + 9624*x))/(996004*x^3 - 800396*x^4 + 160801*x^5),x]","-\frac{4 \left(499 x^2+802 e^2\right)}{401 x^2 (401 x-998)}","\frac{\frac{4 e^2}{x^2}+x}{100 (5-2 x)+\frac{1}{2} (-x-2)}",1,"(-4*(802*E^2 + 499*x^2))/(401*x^2*(-998 + 401*x))","A",1
6569,0,0,30,7.637234,"\int \frac{\exp \left(\exp \left(\frac{18+18 x-18 \log ^2(2)+\left(1-x-x^2+x^3+\left(-1+2 x-x^2\right) \log ^2(2)\right) \log \left(\frac{x}{2}\right)}{1-2 x+x^2}\right)+\frac{18+18 x-18 \log ^2(2)+\left(1-x-x^2+x^3+\left(-1+2 x-x^2\right) \log ^2(2)\right) \log \left(\frac{x}{2}\right)}{1-2 x+x^2}\right) \left(-1-52 x-18 x^2-2 x^3+x^4+\left(1+33 x+3 x^2-x^3\right) \log ^2(2)+\left(-x+3 x^2-3 x^3+x^4\right) \log \left(\frac{x}{2}\right)\right)}{-x+3 x^2-3 x^3+x^4} \, dx","Integrate[(E^(E^((18 + 18*x - 18*Log[2]^2 + (1 - x - x^2 + x^3 + (-1 + 2*x - x^2)*Log[2]^2)*Log[x/2])/(1 - 2*x + x^2)) + (18 + 18*x - 18*Log[2]^2 + (1 - x - x^2 + x^3 + (-1 + 2*x - x^2)*Log[2]^2)*Log[x/2])/(1 - 2*x + x^2))*(-1 - 52*x - 18*x^2 - 2*x^3 + x^4 + (1 + 33*x + 3*x^2 - x^3)*Log[2]^2 + (-x + 3*x^2 - 3*x^3 + x^4)*Log[x/2]))/(-x + 3*x^2 - 3*x^3 + x^4),x]","\int \frac{\exp \left(\exp \left(\frac{18+18 x-18 \log ^2(2)+\left(1-x-x^2+x^3+\left(-1+2 x-x^2\right) \log ^2(2)\right) \log \left(\frac{x}{2}\right)}{1-2 x+x^2}\right)+\frac{18+18 x-18 \log ^2(2)+\left(1-x-x^2+x^3+\left(-1+2 x-x^2\right) \log ^2(2)\right) \log \left(\frac{x}{2}\right)}{1-2 x+x^2}\right) \left(-1-52 x-18 x^2-2 x^3+x^4+\left(1+33 x+3 x^2-x^3\right) \log ^2(2)+\left(-x+3 x^2-3 x^3+x^4\right) \log \left(\frac{x}{2}\right)\right)}{-x+3 x^2-3 x^3+x^4} \, dx","\exp \left(e^{\left(x+1-\log ^2(2)\right) \left(\frac{18}{(1-x)^2}+\log \left(\frac{x}{2}\right)\right)}\right)",1,"Integrate[(E^(E^((18 + 18*x - 18*Log[2]^2 + (1 - x - x^2 + x^3 + (-1 + 2*x - x^2)*Log[2]^2)*Log[x/2])/(1 - 2*x + x^2)) + (18 + 18*x - 18*Log[2]^2 + (1 - x - x^2 + x^3 + (-1 + 2*x - x^2)*Log[2]^2)*Log[x/2])/(1 - 2*x + x^2))*(-1 - 52*x - 18*x^2 - 2*x^3 + x^4 + (1 + 33*x + 3*x^2 - x^3)*Log[2]^2 + (-x + 3*x^2 - 3*x^3 + x^4)*Log[x/2]))/(-x + 3*x^2 - 3*x^3 + x^4), x]","F",-1
6570,1,13,13,0.0733715,"\int \frac{-2-7 e^{2 x}+e^x (-2-14 x)-7 x^2}{e^{2 x}+2 e^x x+x^2} \, dx","Integrate[(-2 - 7*E^(2*x) + E^x*(-2 - 14*x) - 7*x^2)/(E^(2*x) + 2*E^x*x + x^2),x]","\frac{2}{x+e^x}-7 x","\frac{2}{x+e^x}-7 x",1,"-7*x + 2/(E^x + x)","A",1
6571,1,5,5,0.0009399,"\int -e^{-x} \, dx","Integrate[-E^(-x),x]","e^{-x}","e^{-x}",1,"E^(-x)","A",1
6572,1,19,22,0.2019309,"\int \frac{3 e^4+e^{4 x/3} (3-8 x)+3 x}{e^{12}+e^{4 x}+e^{8 x/3} \left(3 e^4-3 x\right)-3 e^8 x+3 e^4 x^2-x^3+e^{4 x/3} \left(3 e^8-6 e^4 x+3 x^2\right)} \, dx","Integrate[(3*E^4 + E^((4*x)/3)*(3 - 8*x) + 3*x)/(E^12 + E^(4*x) + E^((8*x)/3)*(3*E^4 - 3*x) - 3*E^8*x + 3*E^4*x^2 - x^3 + E^((4*x)/3)*(3*E^8 - 6*E^4*x + 3*x^2)),x]","\frac{3 x}{\left(-x+e^{4 x/3}+e^4\right)^2}","3 \left(\frac{x}{\left(-x+e^{4 x/3}+e^4\right)^2}+4\right)",1,"(3*x)/(E^4 + E^((4*x)/3) - x)^2","A",1
6573,1,13,14,0.0785487,"\int \frac{e^{16 x} \left(6 x+48 x^2\right)}{-2+3 e^{16 x} x^2} \, dx","Integrate[(E^(16*x)*(6*x + 48*x^2))/(-2 + 3*E^(16*x)*x^2),x]","\log \left(3 e^{16 x} x^2-2\right)","\log \left(e^{16 x} x^2-\frac{2}{3}\right)",1,"Log[-2 + 3*E^(16*x)*x^2]","A",1
6574,1,128,26,0.0972226,"\int \frac{-x^2+2 x \log (5)-\log ^2(5)+\left(x^3+216 x^4+216 x^6+72 x^8+8 x^{10}+\left(-x-2 x^2-432 x^3-432 x^5-144 x^7-16 x^9\right) \log (5)+\left(x+216 x^2+216 x^4+72 x^6+8 x^8\right) \log ^2(5)\right) \log ^2(x)}{\left(x^3-2 x^2 \log (5)+x \log ^2(5)\right) \log ^2(x)} \, dx","Integrate[(-x^2 + 2*x*Log[5] - Log[5]^2 + (x^3 + 216*x^4 + 216*x^6 + 72*x^8 + 8*x^10 + (-x - 2*x^2 - 432*x^3 - 432*x^5 - 144*x^7 - 16*x^9)*Log[5] + (x + 216*x^2 + 216*x^4 + 72*x^6 + 8*x^8)*Log[5]^2)*Log[x]^2)/((x^3 - 2*x^2*Log[5] + x*Log[5]^2)*Log[x]^2),x]","\frac{\left(x^9-x^8 \log (5)+12 x^7-12 x^6 \log (5)+54 x^5-54 x^4 \log (5)+108 x^3+x^2 (1-108 \log (5))-x \log (5) \left(2+\log ^7(5)+12 \log ^5(5)+54 \log ^3(5)+108 \log (5)\right)+\log (5) \left(1+\log ^8(5)+12 \log ^6(5)+54 \log ^4(5)+108 \log ^2(5)+\log (5)\right)\right) \log (x)+x-\log (5)}{(x-\log (5)) \log (x)}","\left(x^2+3\right)^4+x-\frac{\log (5)}{\log (5)-x}+\frac{1}{\log (x)}+2",1,"(x - Log[5] + (108*x^3 + 54*x^5 + 12*x^7 + x^9 + x^2*(1 - 108*Log[5]) - 54*x^4*Log[5] - 12*x^6*Log[5] - x^8*Log[5] - x*Log[5]*(2 + 108*Log[5] + 54*Log[5]^3 + 12*Log[5]^5 + Log[5]^7) + Log[5]*(1 + Log[5] + 108*Log[5]^2 + 54*Log[5]^4 + 12*Log[5]^6 + Log[5]^8))*Log[x])/((x - Log[5])*Log[x])","B",1
6575,1,20,25,0.0594464,"\int \frac{e^{-x} \left(e^4 (-45-15 x)+e^x \left(24 x-3 x^2\right)\right)}{x^4} \, dx","Integrate[(E^4*(-45 - 15*x) + E^x*(24*x - 3*x^2))/(E^x*x^4),x]","\frac{3 \left((x-4) x+5 e^{4-x}\right)}{x^3}","\frac{\frac{3 \left(\frac{5 e^{4-x}}{x}-4\right)}{x}+3}{x}",1,"(3*(5*E^(4 - x) + (-4 + x)*x))/x^3","A",1
6576,1,11,13,0.1181441,"\int e^{16+e^{16+8 e^x+e^{2 x}}+8 e^x+e^{2 x}} \left(8 e^x+2 e^{2 x}\right) \, dx","Integrate[E^(16 + E^(16 + 8*E^x + E^(2*x)) + 8*E^x + E^(2*x))*(8*E^x + 2*E^(2*x)),x]","e^{e^{\left(e^x+4\right)^2}}","e^{e^{\left(-e^x-4\right)^2}}",1,"E^E^(4 + E^x)^2","A",1
6577,1,25,24,1.2359953,"\int \frac{e^{e^x} \left(-32-16 x-10 x^2-5 x^3+\left(-16 x+20 x^2+5 x^3+e^x \left(32 x+16 x^2+10 x^3+5 x^4\right)\right) \log (x)\right)}{\left(16 x+16 x^2+4 x^3\right) \log ^2(x)} \, dx","Integrate[(E^E^x*(-32 - 16*x - 10*x^2 - 5*x^3 + (-16*x + 20*x^2 + 5*x^3 + E^x*(32*x + 16*x^2 + 10*x^3 + 5*x^4))*Log[x]))/((16*x + 16*x^2 + 4*x^3)*Log[x]^2),x]","\frac{e^{e^x} \left(5 x^2+16\right)}{4 (x+2) \log (x)}","\frac{e^{e^x} \left(\frac{5 x^2}{4}+4\right)}{(x+2) \log (x)}",1,"(E^E^x*(16 + 5*x^2))/(4*(2 + x)*Log[x])","A",1
6578,1,20,20,0.1196591,"\int \frac{120 x-9 x^2 \log (5)+\left(-30 x+2 x^2 \log (5)\right) \log (15-x \log (5))}{-240 \log (3)+16 x \log (3) \log (5)+(120 \log (3)-8 x \log (3) \log (5)) \log (15-x \log (5))+(-15 \log (3)+x \log (3) \log (5)) \log ^2(15-x \log (5))} \, dx","Integrate[(120*x - 9*x^2*Log[5] + (-30*x + 2*x^2*Log[5])*Log[15 - x*Log[5]])/(-240*Log[3] + 16*x*Log[3]*Log[5] + (120*Log[3] - 8*x*Log[3]*Log[5])*Log[15 - x*Log[5]] + (-15*Log[3] + x*Log[3]*Log[5])*Log[15 - x*Log[5]]^2),x]","\frac{x^2}{\log (3) (\log (15-x \log (5))-4)}","\frac{x^2}{\log (3) (\log (15-x \log (5))-4)}",1,"x^2/(Log[3]*(-4 + Log[15 - x*Log[5]]))","A",1
6579,1,12,17,0.0419244,"\int \frac{e^{\frac{9+4 x-5 x^2}{x}} \left(-9-5 x^2\right)}{x^2} \, dx","Integrate[(E^((9 + 4*x - 5*x^2)/x)*(-9 - 5*x^2))/x^2,x]","e^{-5 x+\frac{9}{x}+4}","e^{-3 (x-3)-2 x+\frac{9}{x}-5}",1,"E^(4 + 9/x - 5*x)","A",1
6580,1,29,27,0.3968442,"\int \frac{e^{e x^2+x^3+e^{x^2} (e+x)} \left(e^{x+x^2} \left(x+2 e x^2+2 x^3\right)+e^x \left(-1+x+2 e x^2+3 x^3\right)\right)}{x^2 \log (3)} \, dx","Integrate[(E^(E*x^2 + x^3 + E^x^2*(E + x))*(E^(x + x^2)*(x + 2*E*x^2 + 2*x^3) + E^x*(-1 + x + 2*E*x^2 + 3*x^3)))/(x^2*Log[3]),x]","\frac{e^{x^3+e x^2+e^{x^2} (x+e)+x}}{x \log (3)}","\frac{e^{(x+e) \left(x^2+e^{x^2}\right)+x}}{x \log (3)}-3",1,"E^(x + E*x^2 + x^3 + E^x^2*(E + x))/(x*Log[3])","A",1
6581,1,37,28,0.1133054,"\int \frac{\left(10-10 x+x^2\right) \log (x)+\left(20 x-4 x^2+\left(40 x-8 x^2\right) \log (x)\right) \log \left(x^2 \log (x)\right)+\left(20 x-2 x^2\right) \log (x) \log ^2\left(x^2 \log (x)\right)+\left(-20 x+4 x^2+\left(-40 x+8 x^2\right) \log (x)\right) \log ^3\left(x^2 \log (x)\right)+\left(-10 x+x^2\right) \log (x) \log ^4\left(x^2 \log (x)\right)}{\left(4 x^2-4 x^3+x^4\right) \log (x)+\left(8 x^3-4 x^4\right) \log (x) \log ^2\left(x^2 \log (x)\right)+\left(-4 x^3+6 x^4\right) \log (x) \log ^4\left(x^2 \log (x)\right)-4 x^4 \log (x) \log ^6\left(x^2 \log (x)\right)+x^4 \log (x) \log ^8\left(x^2 \log (x)\right)} \, dx","Integrate[((10 - 10*x + x^2)*Log[x] + (20*x - 4*x^2 + (40*x - 8*x^2)*Log[x])*Log[x^2*Log[x]] + (20*x - 2*x^2)*Log[x]*Log[x^2*Log[x]]^2 + (-20*x + 4*x^2 + (-40*x + 8*x^2)*Log[x])*Log[x^2*Log[x]]^3 + (-10*x + x^2)*Log[x]*Log[x^2*Log[x]]^4)/((4*x^2 - 4*x^3 + x^4)*Log[x] + (8*x^3 - 4*x^4)*Log[x]*Log[x^2*Log[x]]^2 + (-4*x^3 + 6*x^4)*Log[x]*Log[x^2*Log[x]]^4 - 4*x^4*Log[x]*Log[x^2*Log[x]]^6 + x^4*Log[x]*Log[x^2*Log[x]]^8),x]","\frac{5-x}{x \left(x \log ^4\left(x^2 \log (x)\right)-2 x \log ^2\left(x^2 \log (x)\right)+x-2\right)}","\frac{x-5}{2 x-\left(x-x \log ^2\left(x^2 \log (x)\right)\right)^2}",1,"(5 - x)/(x*(-2 + x - 2*x*Log[x^2*Log[x]]^2 + x*Log[x^2*Log[x]]^4))","A",1
6582,1,19,19,0.0188326,"\int \frac{1}{4} \left(x^3+e^{4 x+4 e^2 x^3} \left(1+3 e^2 x^2\right)+e^{3 x+3 e^2 x^3} \left(1+3 x+9 e^2 x^3\right)+e^{2 x+2 e^2 x^3} \left(3 x+3 x^2+9 e^2 x^4\right)+e^{x+e^2 x^3} \left(3 x^2+x^3+3 e^2 x^5\right)\right) \, dx","Integrate[(x^3 + E^(4*x + 4*E^2*x^3)*(1 + 3*E^2*x^2) + E^(3*x + 3*E^2*x^3)*(1 + 3*x + 9*E^2*x^3) + E^(2*x + 2*E^2*x^3)*(3*x + 3*x^2 + 9*E^2*x^4) + E^(x + E^2*x^3)*(3*x^2 + x^3 + 3*E^2*x^5))/4,x]","\frac{1}{16} \left(e^{e^2 x^3+x}+x\right)^4","\frac{1}{16} \left(e^{e^2 x^3+x}+x\right)^4",1,"(E^(x + E^2*x^3) + x)^4/16","A",1
6583,1,41,28,0.168178,"\int \frac{9796900-175000 e^{5 x}+17500 e^{6 x}-1000 e^{7 x}+25 e^{8 x}+31285 x+e^{2 x} \left(10945000+7500 x-7500 x^2\right)+e^{4 x} \left(1093800+50 x-100 x^2\right)+e^{3 x} \left(-4376000-1000 x+1500 x^2\right)+e^x \left(-15650000-25000 x+12500 x^2\right)+\left(18780-15000 e^x+4500 e^{2 x}-600 e^{3 x}+30 e^{4 x}+30 x\right) \log (x)+9 \log ^2(x)}{9796900-15650000 e^x+10945000 e^{2 x}-4376000 e^{3 x}+1093800 e^{4 x}-175000 e^{5 x}+17500 e^{6 x}-1000 e^{7 x}+25 e^{8 x}+\left(18780-15000 e^x+4500 e^{2 x}-600 e^{3 x}+30 e^{4 x}\right) \log (x)+9 \log ^2(x)} \, dx","Integrate[(9796900 - 175000*E^(5*x) + 17500*E^(6*x) - 1000*E^(7*x) + 25*E^(8*x) + 31285*x + E^(2*x)*(10945000 + 7500*x - 7500*x^2) + E^(4*x)*(1093800 + 50*x - 100*x^2) + E^(3*x)*(-4376000 - 1000*x + 1500*x^2) + E^x*(-15650000 - 25000*x + 12500*x^2) + (18780 - 15000*E^x + 4500*E^(2*x) - 600*E^(3*x) + 30*E^(4*x) + 30*x)*Log[x] + 9*Log[x]^2)/(9796900 - 15650000*E^x + 10945000*E^(2*x) - 4376000*E^(3*x) + 1093800*E^(4*x) - 175000*E^(5*x) + 17500*E^(6*x) - 1000*E^(7*x) + 25*E^(8*x) + (18780 - 15000*E^x + 4500*E^(2*x) - 600*E^(3*x) + 30*E^(4*x))*Log[x] + 9*Log[x]^2),x]","\frac{5 x^2}{-2500 e^x+750 e^{2 x}-100 e^{3 x}+5 e^{4 x}+3 \log (x)+3130}+x","\frac{x^2}{\left(5-e^x\right)^4+\frac{1}{5} (3 \log (x)+5)}+x",1,"x + (5*x^2)/(3130 - 2500*E^x + 750*E^(2*x) - 100*E^(3*x) + 5*E^(4*x) + 3*Log[x])","A",1
6584,1,17,20,0.4943169,"\int \frac{x-e^{5 x} x-5 x^2+\left(1-x^2+e^{5 x} \left(-1+x^2\right)\right) \log ^2\left(e^{-5 x} \left(x-e^{5 x} x\right)\right)}{\left(-x^2+e^{5 x} x^2\right) \log ^2\left(e^{-5 x} \left(x-e^{5 x} x\right)\right)} \, dx","Integrate[(x - E^(5*x)*x - 5*x^2 + (1 - x^2 + E^(5*x)*(-1 + x^2))*Log[(x - E^(5*x)*x)/E^(5*x)]^2)/((-x^2 + E^(5*x)*x^2)*Log[(x - E^(5*x)*x)/E^(5*x)]^2),x]","x+\frac{1}{x}+\frac{1}{\log \left(\left(e^{-5 x}-1\right) x\right)}","x+\frac{1}{x}+\frac{1}{\log \left(e^{-5 x} x-x\right)}+1",1,"x^(-1) + x + Log[(-1 + E^(-5*x))*x]^(-1)","A",1
6585,1,26,26,0.6573677,"\int \frac{e^x \left(e^4 (-5-5 x)-5 x^3\right)+e^{2 x} \left(-x^2+e^4 (1+x)\right)}{e^{x+\frac{e^4-x \log (4)}{x}} \left(-10 x^2-20 x^3-10 x^4\right)+e^{2 x+\frac{e^4-x \log (4)}{x}} \left(x^2+2 x^3+x^4\right)+e^{\frac{e^4-x \log (4)}{x}} \left(25 x^2+50 x^3+25 x^4\right)} \, dx","Integrate[(E^x*(E^4*(-5 - 5*x) - 5*x^3) + E^(2*x)*(-x^2 + E^4*(1 + x)))/(E^(x + (E^4 - x*Log[4])/x)*(-10*x^2 - 20*x^3 - 10*x^4) + E^(2*x + (E^4 - x*Log[4])/x)*(x^2 + 2*x^3 + x^4) + E^((E^4 - x*Log[4])/x)*(25*x^2 + 50*x^3 + 25*x^4)),x]","\frac{4 e^{x-\frac{e^4}{x}}}{\left(e^x-5\right) (x+1)}","\frac{4 e^{x-\frac{e^4}{x}}}{\left(e^x-5\right) (x+1)}",1,"(4*E^(-(E^4/x) + x))/((-5 + E^x)*(1 + x))","A",1
6586,1,58,30,0.0285535,"\int \left(1-e^8+e^4 (-10-4 x)-8 x-3 x^2+\left(40+8 e^4+16 x\right) \log \left(\frac{2}{x}\right)-16 \log ^2\left(\frac{2}{x}\right)+\left(-10-2 e^4-4 x+8 \log \left(\frac{2}{x}\right)\right) \log (x)-\log ^2(x)\right) \, dx","Integrate[1 - E^8 + E^4*(-10 - 4*x) - 8*x - 3*x^2 + (40 + 8*E^4 + 16*x)*Log[2/x] - 16*Log[2/x]^2 + (-10 - 2*E^4 - 4*x + 8*Log[2/x])*Log[x] - Log[x]^2,x]","-x \left(x^2+2 e^4 x-x+16 \log ^2\left(\frac{2}{x}\right)+\log ^2(x)+2 \left(x+e^4\right) \log (x)-8 \log \left(\frac{2}{x}\right) \left(x+\log (x)+e^4\right)+e^8-1\right)","x \left(x-\left(-x+4 \log \left(\frac{2}{x}\right)-\log (x)-e^4\right)^2+1\right)",1,"-(x*(-1 + E^8 - x + 2*E^4*x + x^2 + 16*Log[2/x]^2 + 2*(E^4 + x)*Log[x] + Log[x]^2 - 8*Log[2/x]*(E^4 + x + Log[x])))","A",1
6587,1,50,36,0.185717,"\int \frac{\left(-4-6 x^2+3 x^4\right) \log ^2(x)+e^{\frac{8 x}{\log (x)}} \left(-8 x+8 x \log (x)-\log ^2(x)\right)+e^{\frac{4 x}{\log (x)}} \left(24 x-8 x^3+\left(-24 x+8 x^3\right) \log (x)+\left(6+2 x^2\right) \log ^2(x)\right)}{e^{\frac{8 x}{\log (x)}} x \log ^2(x)+e^{\frac{4 x}{\log (x)}} \left(-6 x+2 x^3\right) \log ^2(x)+\left(4 x-6 x^3+x^5\right) \log ^2(x)} \, dx","Integrate[((-4 - 6*x^2 + 3*x^4)*Log[x]^2 + E^((8*x)/Log[x])*(-8*x + 8*x*Log[x] - Log[x]^2) + E^((4*x)/Log[x])*(24*x - 8*x^3 + (-24*x + 8*x^3)*Log[x] + (6 + 2*x^2)*Log[x]^2))/(E^((8*x)/Log[x])*x*Log[x]^2 + E^((4*x)/Log[x])*(-6*x + 2*x^3)*Log[x]^2 + (4*x - 6*x^3 + x^5)*Log[x]^2),x]","\log \left(x^4-6 x^2+2 x^2 e^{\frac{4 x}{\log (x)}}-6 e^{\frac{4 x}{\log (x)}}+e^{\frac{8 x}{\log (x)}}+4\right)-\log (x)","\log \left(\frac{5-x^2 \left(x-\frac{3-e^{\frac{4 x}{\log (x)}}}{x}\right)^2}{x}\right)+3",1,"-Log[x] + Log[4 - 6*E^((4*x)/Log[x]) + E^((8*x)/Log[x]) - 6*x^2 + 2*E^((4*x)/Log[x])*x^2 + x^4]","A",1
6588,1,23,24,0.0612022,"\int \frac{4 x+4 x^2+9 x^3+9 x^4+e^4 \left(4+9 x^2\right)+\left(-64 x+4 x^2-432 x^3+27 x^4+e^4 \left(-4-27 x^2\right)+\left(4 x+27 x^3\right) \log (x)\right) \log \left(\frac{-e^4-16 x+x^2+x \log (x)}{x}\right)}{-e^4-16 x+x^2+x \log (x)} \, dx","Integrate[(4*x + 4*x^2 + 9*x^3 + 9*x^4 + E^4*(4 + 9*x^2) + (-64*x + 4*x^2 - 432*x^3 + 27*x^4 + E^4*(-4 - 27*x^2) + (4*x + 27*x^3)*Log[x])*Log[(-E^4 - 16*x + x^2 + x*Log[x])/x])/(-E^4 - 16*x + x^2 + x*Log[x]),x]","x \left(9 x^2+4\right) \log \left(x-\frac{e^4}{x}+\log (x)-16\right)","\left(9 x^3+4 x\right) \log \left(x-\frac{e^4}{x}+\log (x)-16\right)",1,"x*(4 + 9*x^2)*Log[-16 - E^4/x + x + Log[x]]","A",1
6589,0,0,32,9.5377968,"\int \frac{e^{e^{e^{2 x^2-4 x \log \left(\frac{4}{x}\right)+2 \log ^2\left(\frac{4}{x}\right)}}} \left(e^{\frac{8}{-3+x}} \left(-9-2 x-x^2\right)+\exp \left(e^{2 x^2-4 x \log \left(\frac{4}{x}\right)+2 \log ^2\left(\frac{4}{x}\right)}+2 x^2-4 x \log \left(\frac{4}{x}\right)+2 \log ^2\left(\frac{4}{x}\right)\right) \left(e^{\frac{8}{-3+x}} \left(36 x+12 x^2-20 x^3+4 x^4\right)+e^{\frac{8}{-3+x}} \left(-36-12 x+20 x^2-4 x^3\right) \log \left(\frac{4}{x}\right)\right)\right)}{9 x^2-6 x^3+x^4} \, dx","Integrate[(E^E^E^(2*x^2 - 4*x*Log[4/x] + 2*Log[4/x]^2)*(E^(8/(-3 + x))*(-9 - 2*x - x^2) + E^(E^(2*x^2 - 4*x*Log[4/x] + 2*Log[4/x]^2) + 2*x^2 - 4*x*Log[4/x] + 2*Log[4/x]^2)*(E^(8/(-3 + x))*(36*x + 12*x^2 - 20*x^3 + 4*x^4) + E^(8/(-3 + x))*(-36 - 12*x + 20*x^2 - 4*x^3)*Log[4/x])))/(9*x^2 - 6*x^3 + x^4),x]","\int \frac{e^{e^{e^{2 x^2-4 x \log \left(\frac{4}{x}\right)+2 \log ^2\left(\frac{4}{x}\right)}}} \left(e^{\frac{8}{-3+x}} \left(-9-2 x-x^2\right)+\exp \left(e^{2 x^2-4 x \log \left(\frac{4}{x}\right)+2 \log ^2\left(\frac{4}{x}\right)}+2 x^2-4 x \log \left(\frac{4}{x}\right)+2 \log ^2\left(\frac{4}{x}\right)\right) \left(e^{\frac{8}{-3+x}} \left(36 x+12 x^2-20 x^3+4 x^4\right)+e^{\frac{8}{-3+x}} \left(-36-12 x+20 x^2-4 x^3\right) \log \left(\frac{4}{x}\right)\right)\right)}{9 x^2-6 x^3+x^4} \, dx","\frac{e^{\frac{8}{x-3}+e^{e^{2 \left(\log \left(\frac{4}{x}\right)-x\right)^2}}}}{x}",1,"Integrate[(E^E^E^(2*x^2 - 4*x*Log[4/x] + 2*Log[4/x]^2)*(E^(8/(-3 + x))*(-9 - 2*x - x^2) + E^(E^(2*x^2 - 4*x*Log[4/x] + 2*Log[4/x]^2) + 2*x^2 - 4*x*Log[4/x] + 2*Log[4/x]^2)*(E^(8/(-3 + x))*(36*x + 12*x^2 - 20*x^3 + 4*x^4) + E^(8/(-3 + x))*(-36 - 12*x + 20*x^2 - 4*x^3)*Log[4/x])))/(9*x^2 - 6*x^3 + x^4), x]","F",-1
6590,1,34,31,0.0764804,"\int \frac{50-80 x-465 x^2-820 x^3-330 x^4-360 x^5+e^x \left(-10-70 x-155 x^2-125 x^3-75 x^4-45 x^5\right)+\left(-10-60 x-95 x^2-30 x^3-45 x^4\right) \log \left(2+x^2\right)}{4+24 x+38 x^2+12 x^3+18 x^4} \, dx","Integrate[(50 - 80*x - 465*x^2 - 820*x^3 - 330*x^4 - 360*x^5 + E^x*(-10 - 70*x - 155*x^2 - 125*x^3 - 75*x^4 - 45*x^5) + (-10 - 60*x - 95*x^2 - 30*x^3 - 45*x^4)*Log[2 + x^2])/(4 + 24*x + 38*x^2 + 12*x^3 + 18*x^4),x]","-\frac{5}{2} \left(4 x^2+x \log \left(x^2+2\right)+e^x x+\frac{5}{3 (3 x+1)}\right)","\frac{5}{2} x \left(-\log \left(x^2+2\right)-4 x-e^x+\frac{5}{3 x+1}\right)",1,"(-5*(E^x*x + 4*x^2 + 5/(3*(1 + 3*x)) + x*Log[2 + x^2]))/2","A",1
6591,0,0,31,0.2935017,"\int \frac{\left(16 x-16 x^2+\left(96 x-48 x^2+\left(-32 x+16 x^2\right) \log (x)\right) \log (-3+\log (x))\right) \log ^3\left(-\frac{x^2 \log (3)}{(-2+2 x) \log (-3+\log (x))}\right)+\left(24 x-24 x^2+\left(-8 x+8 x^2\right) \log (x)\right) \log (-3+\log (x)) \log ^4\left(-\frac{x^2 \log (3)}{(-2+2 x) \log (-3+\log (x))}\right)}{(3-3 x+(-1+x) \log (x)) \log (-3+\log (x))} \, dx","Integrate[((16*x - 16*x^2 + (96*x - 48*x^2 + (-32*x + 16*x^2)*Log[x])*Log[-3 + Log[x]])*Log[-((x^2*Log[3])/((-2 + 2*x)*Log[-3 + Log[x]]))]^3 + (24*x - 24*x^2 + (-8*x + 8*x^2)*Log[x])*Log[-3 + Log[x]]*Log[-((x^2*Log[3])/((-2 + 2*x)*Log[-3 + Log[x]]))]^4)/((3 - 3*x + (-1 + x)*Log[x])*Log[-3 + Log[x]]),x]","\int \frac{\left(16 x-16 x^2+\left(96 x-48 x^2+\left(-32 x+16 x^2\right) \log (x)\right) \log (-3+\log (x))\right) \log ^3\left(-\frac{x^2 \log (3)}{(-2+2 x) \log (-3+\log (x))}\right)+\left(24 x-24 x^2+\left(-8 x+8 x^2\right) \log (x)\right) \log (-3+\log (x)) \log ^4\left(-\frac{x^2 \log (3)}{(-2+2 x) \log (-3+\log (x))}\right)}{(3-3 x+(-1+x) \log (x)) \log (-3+\log (x))} \, dx","4 x^2 \log ^4\left(\frac{x^2 \log (3)}{2 (1-x) \log (\log (x)-3)}\right)",1,"Integrate[((16*x - 16*x^2 + (96*x - 48*x^2 + (-32*x + 16*x^2)*Log[x])*Log[-3 + Log[x]])*Log[-((x^2*Log[3])/((-2 + 2*x)*Log[-3 + Log[x]]))]^3 + (24*x - 24*x^2 + (-8*x + 8*x^2)*Log[x])*Log[-3 + Log[x]]*Log[-((x^2*Log[3])/((-2 + 2*x)*Log[-3 + Log[x]]))]^4)/((3 - 3*x + (-1 + x)*Log[x])*Log[-3 + Log[x]]), x]","F",-1
6592,1,23,25,0.1553811,"\int \frac{-4+4 \log (x)+\left(-e^x+e^x \log (x)\right) \log (3 x)+\left(-6 e^x x+e^x \log (x)+\left(-6 e^x x^2+e^x x \log (x)\right) \log (3 x)\right) \log \left(\frac{-6 x+\log (x)}{x}\right)}{-96 x^2+16 x \log (x)+\left(-48 e^x x^2+8 e^x x \log (x)\right) \log (3 x)+\left(-6 e^{2 x} x^2+e^{2 x} x \log (x)\right) \log ^2(3 x)} \, dx","Integrate[(-4 + 4*Log[x] + (-E^x + E^x*Log[x])*Log[3*x] + (-6*E^x*x + E^x*Log[x] + (-6*E^x*x^2 + E^x*x*Log[x])*Log[3*x])*Log[(-6*x + Log[x])/x])/(-96*x^2 + 16*x*Log[x] + (-48*E^x*x^2 + 8*E^x*x*Log[x])*Log[3*x] + (-6*E^(2*x)*x^2 + E^(2*x)*x*Log[x])*Log[3*x]^2),x]","-\frac{\log \left(\frac{\log (x)}{x}-6\right)}{e^x \log (3 x)+4}","\frac{\log \left(\frac{\log (x)}{x}-6\right)}{-e^x \log (3 x)-4}-20",1,"-(Log[-6 + Log[x]/x]/(4 + E^x*Log[3*x]))","A",1
6593,1,21,16,0.0056735,"\int \frac{32-16 x+16 x \log (x)+18 x^2 \log ^2(x)}{9 x \log ^2(x)} \, dx","Integrate[(32 - 16*x + 16*x*Log[x] + 18*x^2*Log[x]^2)/(9*x*Log[x]^2),x]","x^2+\frac{16 x}{9 \log (x)}-\frac{32}{9 \log (x)}","x^2+\frac{16 (x-2)}{9 \log (x)}+3",1,"x^2 - 32/(9*Log[x]) + (16*x)/(9*Log[x])","A",1
6594,1,17,13,0.0039309,"\int \frac{\left(75+3 e^3\right) \log (3)}{625+e^6+50 x+x^2+e^3 (50+2 x)} \, dx","Integrate[((75 + 3*E^3)*Log[3])/(625 + E^6 + 50*x + x^2 + E^3*(50 + 2*x)),x]","-\frac{3 \left(25+e^3\right) \log (3)}{x+e^3+25}","\frac{3 x \log (3)}{x+e^3+25}",1,"(-3*(25 + E^3)*Log[3])/(25 + E^3 + x)","A",1
6595,1,60,26,0.1744181,"\int \frac{-432 x+1296 x^2-1224 x^3+456 x^4-72 x^5+4 x^6+e^4 \left(-432 x+216 x^2-36 x^3+2 x^4\right)+e^2 \left(864 x-1512 x^2+660 x^3-108 x^4+6 x^5\right)+e^{9 x} \left(2 x^4+2 e^4 x^4-6 x^5+4 x^6+e^2 \left(-4 x^4+6 x^5\right)\right)+e^{3 x} \left(216 x^2-660 x^3+528 x^4-114 x^5+6 x^6+e^4 \left(216 x^2-72 x^3+6 x^4\right)+e^2 \left(-432 x^2+732 x^3-184 x^4+12 x^5\right)\right)+e^{6 x} \left(-36 x^3+110 x^4-78 x^5+6 x^6+e^4 \left(-36 x^3+6 x^4\right)+e^2 \left(72 x^3-116 x^4+12 x^5\right)\right)}{-216+108 x-18 x^2+x^3+e^{9 x} x^3+e^{3 x} \left(108 x-36 x^2+3 x^3\right)+e^{6 x} \left(-18 x^2+3 x^3\right)} \, dx","Integrate[(-432*x + 1296*x^2 - 1224*x^3 + 456*x^4 - 72*x^5 + 4*x^6 + E^4*(-432*x + 216*x^2 - 36*x^3 + 2*x^4) + E^2*(864*x - 1512*x^2 + 660*x^3 - 108*x^4 + 6*x^5) + E^(9*x)*(2*x^4 + 2*E^4*x^4 - 6*x^5 + 4*x^6 + E^2*(-4*x^4 + 6*x^5)) + E^(3*x)*(216*x^2 - 660*x^3 + 528*x^4 - 114*x^5 + 6*x^6 + E^4*(216*x^2 - 72*x^3 + 6*x^4) + E^2*(-432*x^2 + 732*x^3 - 184*x^4 + 12*x^5)) + E^(6*x)*(-36*x^3 + 110*x^4 - 78*x^5 + 6*x^6 + E^4*(-36*x^3 + 6*x^4) + E^2*(72*x^3 - 116*x^4 + 12*x^5)))/(-216 + 108*x - 18*x^2 + x^3 + E^(9*x)*x^3 + E^(3*x)*(108*x - 36*x^2 + 3*x^3) + E^(6*x)*(-18*x^2 + 3*x^3)),x]","x^2 \left(\frac{x^2}{\left(e^{3 x} x+x-6\right)^2}+x^2+\frac{2 \left(x+e^2-1\right) x}{e^{3 x} x+x-6}+2 \left(e^2-1\right) x+\left(e^2-1\right)^2\right)","\left(x-x \left(\frac{x}{e^{3 x} x+x-6}+x+e^2\right)\right)^2",1,"x^2*((-1 + E^2)^2 + 2*(-1 + E^2)*x + x^2 + x^2/(-6 + x + E^(3*x)*x)^2 + (2*x*(-1 + E^2 + x))/(-6 + x + E^(3*x)*x))","B",1
6596,1,18,21,0.5060977,"\int \frac{x+e^{4 x^2 \log (x)+4 e^8 \log (x) \log (3 x)} \left(4 x^2+\left(4 e^8+8 x^2\right) \log (x)+4 e^8 \log (3 x)\right)}{x} \, dx","Integrate[(x + E^(4*x^2*Log[x] + 4*E^8*Log[x]*Log[3*x])*(4*x^2 + (4*E^8 + 8*x^2)*Log[x] + 4*E^8*Log[3*x]))/x,x]","x^{4 \left(x^2+e^8 \log (3 x)\right)}+x","x^{4 x \left(x+\frac{e^8 \log (3 x)}{x}\right)}+x-4",1,"x + x^(4*(x^2 + E^8*Log[3*x]))","A",1
6597,1,20,23,0.0742744,"\int 3 e^{5 x-125 x^2-50 x^3-5 x^4} \left(15-750 x-450 x^2-60 x^3\right) \, dx","Integrate[3*E^(5*x - 125*x^2 - 50*x^3 - 5*x^4)*(15 - 750*x - 450*x^2 - 60*x^3),x]","9 e^{-5 x \left(x^3+10 x^2+25 x-1\right)}","3 \left(3 e^{5 \left(x-((x+4) x+x)^2\right)}-4\right)",1,"9/E^(5*x*(-1 + 25*x + 10*x^2 + x^3))","A",1
6598,1,14,22,0.0014221,"\int \frac{-4+10 x^2-2 x^3}{x^2} \, dx","Integrate[(-4 + 10*x^2 - 2*x^3)/x^2,x]","-x^2+10 x+\frac{4}{x}","\frac{x^2+x+4}{x}+(8-x) x+x-3+\log (2)",1,"4/x + 10*x - x^2","A",1
6599,1,23,23,0.1354367,"\int \frac{x+e^x \left(x+x^2\right)+\left(1+e^x (1+x)\right) \log (2 x)+\left(2+3 x+e^x (2+3 x)+\left(1+e^x\right) \log (2 x)\right) \log \left(x+e^x x\right)}{\left(x^2+e^x x^2+\left(x+e^x x\right) \log (2 x)\right) \log \left(x+e^x x\right) \log \left(\frac{1}{5} \left(3 x^3+6 x^2 \log (2 x)+3 x \log ^2(2 x)\right) \log \left(x+e^x x\right)\right)} \, dx","Integrate[(x + E^x*(x + x^2) + (1 + E^x*(1 + x))*Log[2*x] + (2 + 3*x + E^x*(2 + 3*x) + (1 + E^x)*Log[2*x])*Log[x + E^x*x])/((x^2 + E^x*x^2 + (x + E^x*x)*Log[2*x])*Log[x + E^x*x]*Log[((3*x^3 + 6*x^2*Log[2*x] + 3*x*Log[2*x]^2)*Log[x + E^x*x])/5]),x]","\log \left(\log \left(\frac{3}{5} x (x+\log (2 x))^2 \log \left(\left(e^x+1\right) x\right)\right)\right)","\log \left(\log \left(\frac{3}{5} x (x+\log (2 x))^2 \log \left(e^x x+x\right)\right)\right)",1,"Log[Log[(3*x*(x + Log[2*x])^2*Log[(1 + E^x)*x])/5]]","A",1
6600,1,63,24,0.0750664,"\int \frac{-100 x^5-750 x^6+\left(300 x^3+6750 x^4+45500 x^5+7500 x^6+300 x^7\right) \log \left(\frac{2+30 x+3 x^2}{1+15 x+x^2}\right)+\left(-200 x-6000 x^2-45500 x^3-7500 x^4-300 x^5\right) \log ^2\left(\frac{2+30 x+3 x^2}{1+15 x+x^2}\right)}{\left(2+60 x+455 x^2+75 x^3+3 x^4\right) \log ^3\left(\frac{2+30 x+3 x^2}{1+15 x+x^2}\right)} \, dx","Integrate[(-100*x^5 - 750*x^6 + (300*x^3 + 6750*x^4 + 45500*x^5 + 7500*x^6 + 300*x^7)*Log[(2 + 30*x + 3*x^2)/(1 + 15*x + x^2)] + (-200*x - 6000*x^2 - 45500*x^3 - 7500*x^4 - 300*x^5)*Log[(2 + 30*x + 3*x^2)/(1 + 15*x + x^2)]^2)/((2 + 60*x + 455*x^2 + 75*x^3 + 3*x^4)*Log[(2 + 30*x + 3*x^2)/(1 + 15*x + x^2)]^3),x]","50 \left(\frac{x^4}{2 \log ^2\left(\frac{3 x^2+30 x+2}{x^2+15 x+1}\right)}-\frac{x^2}{\log \left(\frac{3 x^2+30 x+2}{x^2+15 x+1}\right)}\right)","\left(\frac{5 x^2}{\log \left(\frac{x}{x+\frac{1}{x}+15}+2\right)}-5\right)^2",1,"50*(x^4/(2*Log[(2 + 30*x + 3*x^2)/(1 + 15*x + x^2)]^2) - x^2/Log[(2 + 30*x + 3*x^2)/(1 + 15*x + x^2)])","B",1
6601,1,47,26,0.0814063,"\int \frac{-10+30 x-44 x^2+32 x^3+5 x^4-25 x^5+15 x^6-3 x^7+\left(-4+16 x-32 x^2+80 x^3-70 x^4+32 x^5-6 x^6\right) \log \left(\frac{2 x-4 x^2+6 x^3-4 x^4+x^5}{1-4 x+6 x^2-4 x^3+x^4}\right)+\left(2-6 x+10 x^2-10 x^3+5 x^4-x^5\right) \log ^2\left(\frac{2 x-4 x^2+6 x^3-4 x^4+x^5}{1-4 x+6 x^2-4 x^3+x^4}\right)}{-2 x^2+6 x^3-10 x^4+10 x^5-5 x^6+x^7} \, dx","Integrate[(-10 + 30*x - 44*x^2 + 32*x^3 + 5*x^4 - 25*x^5 + 15*x^6 - 3*x^7 + (-4 + 16*x - 32*x^2 + 80*x^3 - 70*x^4 + 32*x^5 - 6*x^6)*Log[(2*x - 4*x^2 + 6*x^3 - 4*x^4 + x^5)/(1 - 4*x + 6*x^2 - 4*x^3 + x^4)] + (2 - 6*x + 10*x^2 - 10*x^3 + 5*x^4 - x^5)*Log[(2*x - 4*x^2 + 6*x^3 - 4*x^4 + x^5)/(1 - 4*x + 6*x^2 - 4*x^3 + x^4)]^2)/(-2*x^2 + 6*x^3 - 10*x^4 + 10*x^5 - 5*x^6 + x^7),x]","-\frac{(3 x-1) \log ^2\left(\frac{x \left(x^4-4 x^3+6 x^2-4 x+2\right)}{(x-1)^4}\right)}{x}-3 x-\frac{5}{x}","4-\left(3-\frac{1}{x}\right) \left(x+\log ^2\left(\frac{x}{(x-1)^4}+x\right)-5\right)",1,"-5/x - 3*x - ((-1 + 3*x)*Log[(x*(2 - 4*x + 6*x^2 - 4*x^3 + x^4))/(-1 + x)^4]^2)/x","A",1
6602,1,67,29,0.0920406,"\int \frac{2 x-3 x^2-20 x^4+e^{2-x} \left(4+9 x+14 x^3-6 x^4\right)+\left(-5 x^2-6 x^4+e^{2-x} \left(2+4 x-3 x^2+4 x^3-2 x^4\right)\right) \log (x)+\left(-x^2-e^{2-x} x^2\right) \log ^2(x)}{x^2} \, dx","Integrate[(2*x - 3*x^2 - 20*x^4 + E^(2 - x)*(4 + 9*x + 14*x^3 - 6*x^4) + (-5*x^2 - 6*x^4 + E^(2 - x)*(2 + 4*x - 3*x^2 + 4*x^3 - 2*x^4))*Log[x] + (-x^2 - E^(2 - x)*x^2)*Log[x]^2)/x^2,x]","\frac{e^{-x} \left(-6 e^x x^4+6 e^2 \left(x^3-1\right)+\left(e^2-e^x x\right) \left(2 x^3+3 x-2\right) \log (x)+\left(e^2-e^x x\right) x \log ^2(x)\right)}{x}","\left(e^{2-x}-x\right) (\log (x)+3) \left(2 x^2-\frac{2}{x}+\log (x)\right)",1,"(-6*E^x*x^4 + 6*E^2*(-1 + x^3) + (E^2 - E^x*x)*(-2 + 3*x + 2*x^3)*Log[x] + x*(E^2 - E^x*x)*Log[x]^2)/(E^x*x)","B",1
6603,1,25,25,0.0676837,"\int \frac{\exp \left(\frac{45+\left(25 x^2+10 x^3+x^4\right) \log \left(\frac{19+x}{3}\right)}{x^2 \log \left(\frac{19+x}{3}\right)}\right) \left(-45 x+(-1710-90 x) \log \left(\frac{19+x}{3}\right)+\left(190 x^3+48 x^4+2 x^5\right) \log ^2\left(\frac{19+x}{3}\right)\right)}{\left(19 x^3+x^4\right) \log ^2\left(\frac{19+x}{3}\right)} \, dx","Integrate[(E^((45 + (25*x^2 + 10*x^3 + x^4)*Log[(19 + x)/3])/(x^2*Log[(19 + x)/3]))*(-45*x + (-1710 - 90*x)*Log[(19 + x)/3] + (190*x^3 + 48*x^4 + 2*x^5)*Log[(19 + x)/3]^2))/((19*x^3 + x^4)*Log[(19 + x)/3]^2),x]","e^{x^2+\frac{45}{x^2 \log \left(\frac{x+19}{3}\right)}+10 x+25}","e^{\frac{45}{x^2 \log \left(\frac{x+7}{3}+4\right)}+(x+5)^2}",1,"E^(25 + 10*x + x^2 + 45/(x^2*Log[(19 + x)/3]))","A",1
6604,0,0,32,0.5342727,"\int \frac{-16 x+(-4-4 x) \log (3)+e^x (16+8 \log (3))}{-4 x^2+\left(3 x-e^{5/3} x-x^2\right) \log (3)+e^x \left(4 x+\left(-3+e^{5/3}+x\right) \log (3)\right)+\left(e^x \log (3)-x \log (3)\right) \log \left(-e^x+x\right)} \, dx","Integrate[(-16*x + (-4 - 4*x)*Log[3] + E^x*(16 + 8*Log[3]))/(-4*x^2 + (3*x - E^(5/3)*x - x^2)*Log[3] + E^x*(4*x + (-3 + E^(5/3) + x)*Log[3]) + (E^x*Log[3] - x*Log[3])*Log[-E^x + x]),x]","\int \frac{-16 x+(-4-4 x) \log (3)+e^x (16+8 \log (3))}{-4 x^2+\left(3 x-e^{5/3} x-x^2\right) \log (3)+e^x \left(4 x+\left(-3+e^{5/3}+x\right) \log (3)\right)+\left(e^x \log (3)-x \log (3)\right) \log \left(-e^x+x\right)} \, dx","\log \left(\left(-x-\frac{4 x}{\log (3)}-\log \left(x-e^x\right)-e^{5/3}+3\right)^4\right)",1,"Integrate[(-16*x + (-4 - 4*x)*Log[3] + E^x*(16 + 8*Log[3]))/(-4*x^2 + (3*x - E^(5/3)*x - x^2)*Log[3] + E^x*(4*x + (-3 + E^(5/3) + x)*Log[3]) + (E^x*Log[3] - x*Log[3])*Log[-E^x + x]), x]","F",-1
6605,1,26,24,0.0187761,"\int \frac{-2-238 x+15 e^3 x+\left(-238 x+15 e^3 x\right) \log (x)}{-240 x+15 e^3 x} \, dx","Integrate[(-2 - 238*x + 15*E^3*x + (-238*x + 15*E^3*x)*Log[x])/(-240*x + 15*E^3*x),x]","\frac{\left(238-15 e^3\right) x \log (x)+2 \log (x)}{240-15 e^3}","\frac{1}{2} \left(\frac{4 (x-1)}{15 \left(e^3-16\right)}+2 x\right) \log (x)",1,"(2*Log[x] + (238 - 15*E^3)*x*Log[x])/(240 - 15*E^3)","A",1
6606,1,12,14,0.0023258,"\int \frac{-e^5 \log (5)+e^5 \log (5) \log (x)}{x^2} \, dx","Integrate[(-(E^5*Log[5]) + E^5*Log[5]*Log[x])/x^2,x]","-\frac{e^5 \log (5) \log (x)}{x}","4-\frac{e^5 \log (5) \log (x)}{x}",1,"-((E^5*Log[5]*Log[x])/x)","A",1
6607,1,19,17,0.0144623,"\int \frac{352-184 x^2+4 x^4+e \left(-44 x+x^3\right)+\left(32-4 e x-16 x^2\right) \log (e+4 x)}{4 e+16 x} \, dx","Integrate[(352 - 184*x^2 + 4*x^4 + E*(-44*x + x^3) + (32 - 4*E*x - 16*x^2)*Log[E + 4*x])/(4*E + 16*x),x]","\frac{1}{16} \left(x^2-4 \log (4 x+e)-44\right)^2","\left(-\frac{x^2}{4}+\log (4 x+e)+11\right)^2",1,"(-44 + x^2 - 4*Log[E + 4*x])^2/16","A",1
6608,1,54,27,0.1122039,"\int \frac{\exp \left(-6+\frac{-4+4 e^3+e^6 \left(-1+4 x^2\right)+\left(-4 e^3+2 e^6\right) \log (5)-e^6 \log ^2(5)}{e^6 x^2}\right) \left(32-8 x+e^3 (-32+8 x)+e^6 \left(8-2 x+4 x^2-2 x^3\right)+\left(e^3 (32-8 x)+e^6 (-16+4 x)\right) \log (5)+e^6 (8-2 x) \log ^2(5)\right)}{x^2} \, dx","Integrate[(E^(-6 + (-4 + 4*E^3 + E^6*(-1 + 4*x^2) + (-4*E^3 + 2*E^6)*Log[5] - E^6*Log[5]^2)/(E^6*x^2))*(32 - 8*x + E^3*(-32 + 8*x) + E^6*(8 - 2*x + 4*x^2 - 2*x^3) + (E^3*(32 - 8*x) + E^6*(-16 + 4*x))*Log[5] + E^6*(8 - 2*x)*Log[5]^2))/x^2,x]","-5^{\frac{2 \left(e^3-2\right)}{e^3 x^2}} (x-4) x \exp \left(\frac{e^6 \left(4 x^2-1-\log ^2(5)\right)+4 e^3-4}{e^6 x^2}\right)","(4-x) x e^{4-\frac{\left(-1+\frac{2}{e^3}+\log (5)\right)^2}{x^2}}",1,"-(5^((2*(-2 + E^3))/(E^3*x^2))*E^((-4 + 4*E^3 + E^6*(-1 + 4*x^2 - Log[5]^2))/(E^6*x^2))*(-4 + x)*x)","A",1
6609,1,13,16,0.0027347,"\int \frac{2 x^3-2 \log (3)}{x^3} \, dx","Integrate[(2*x^3 - 2*Log[3])/x^3,x]","\frac{\log (9)}{2 x^2}+2 x","\frac{\log (3)}{x^2}+2 x-e^2-1",1,"2*x + Log[9]/(2*x^2)","A",1
6610,1,20,20,0.5576586,"\int e^{2 e^{-2-x-x^2}} \left(1+e^{-2-x-x^2} \left(32+62 x-4 x^2\right)\right) \, dx","Integrate[E^(2*E^(-2 - x - x^2))*(1 + E^(-2 - x - x^2)*(32 + 62*x - 4*x^2)),x]","e^{2 e^{-x^2-x-2}} (x-16)","e^{2 e^{-x^2-x-2}} (x-16)",1,"E^(2*E^(-2 - x - x^2))*(-16 + x)","A",1
6611,1,40,35,0.2546344,"\int \frac{2 e^{4+4 x}-2 x-4 e^{4+3 x} x+e^{4+2 x} \left(-10+2 x^2\right)+e^{4+x} \left(20 x+4 x^2\right)+e^4 \left(-x-10 x^2-2 x^3\right)+\left(8 x^3+e^{4+3 x} \left(-4 x+4 x^2\right)+e^4 \left(-20 x^2-2 x^3\right)+e^{2 x} \left(8 x+e^4 \left(-18 x-4 x^3\right)\right)+e^x \left(-16 x^2+e^4 \left(20 x+20 x^2+4 x^3\right)\right)\right) \log (x)+\left(-8 e^{4 x} x+32 e^{3 x} x^2-48 e^{2 x} x^3+32 e^x x^4-8 x^5\right) \log ^2(x)}{2 x+\left(-8 e^{2 x} x+16 e^x x^2-8 x^3\right) \log (x)+\left(8 e^{4 x} x-32 e^{3 x} x^2+48 e^{2 x} x^3-32 e^x x^4+8 x^5\right) \log ^2(x)} \, dx","Integrate[(2*E^(4 + 4*x) - 2*x - 4*E^(4 + 3*x)*x + E^(4 + 2*x)*(-10 + 2*x^2) + E^(4 + x)*(20*x + 4*x^2) + E^4*(-x - 10*x^2 - 2*x^3) + (8*x^3 + E^(4 + 3*x)*(-4*x + 4*x^2) + E^4*(-20*x^2 - 2*x^3) + E^(2*x)*(8*x + E^4*(-18*x - 4*x^3)) + E^x*(-16*x^2 + E^4*(20*x + 20*x^2 + 4*x^3)))*Log[x] + (-8*E^(4*x)*x + 32*E^(3*x)*x^2 - 48*E^(2*x)*x^3 + 32*E^x*x^4 - 8*x^5)*Log[x]^2)/(2*x + (-8*E^(2*x)*x + 16*E^x*x^2 - 8*x^3)*Log[x] + (8*E^(4*x)*x - 32*E^(3*x)*x^2 + 48*E^(2*x)*x^3 - 32*E^x*x^4 + 8*x^5)*Log[x]^2),x]","\frac{1}{2} \left(-2 x-\frac{e^4 \left(-x+e^{2 x}-5\right)}{2 \left(e^x-x\right)^2 \log (x)-1}\right)","\frac{e^4 \left(-x+e^{2 x}-5\right)}{2-4 \left(x-e^x\right)^2 \log (x)}-x",1,"(-2*x - (E^4*(-5 + E^(2*x) - x))/(-1 + 2*(E^x - x)^2*Log[x]))/2","A",1
6612,1,24,18,0.0071322,"\int \frac{e^{11/4} (3-3 x)-6 e^{11/4} \log (2 x)}{2 x^3} \, dx","Integrate[(E^(11/4)*(3 - 3*x) - 6*E^(11/4)*Log[2*x])/(2*x^3),x]","-\frac{3}{2} e^{11/4} \left(-\frac{\log (2 x)}{x^2}-\frac{1}{x}\right)","\frac{3 e^{11/4} (x+\log (2 x))}{2 x^2}",1,"(-3*E^(11/4)*(-x^(-1) - Log[2*x]/x^2))/2","A",1
6613,1,56,31,0.2325374,"\int \frac{\exp \left(-\frac{x^{10}+\left(-8 x^6+2 x^7\right) \log ^2(2)+\left(16 x^2-8 x^3+x^4\right) \log ^4(2)}{\log ^4(2)}\right) \left(-30 x^9+\left(144 x^5-42 x^6\right) \log ^2(2)+2 \exp \left(x^2+\frac{x^{10}+\left(-8 x^6+2 x^7\right) \log ^2(2)+\left(16 x^2-8 x^3+x^4\right) \log ^4(2)}{\log ^4(2)}\right) x \log ^4(2)+\left(-96 x+72 x^2-12 x^3\right) \log ^4(2)\right)}{\log ^4(2)} \, dx","Integrate[(-30*x^9 + (144*x^5 - 42*x^6)*Log[2]^2 + 2*E^(x^2 + (x^10 + (-8*x^6 + 2*x^7)*Log[2]^2 + (16*x^2 - 8*x^3 + x^4)*Log[2]^4)/Log[2]^4)*x*Log[2]^4 + (-96*x + 72*x^2 - 12*x^3)*Log[2]^4)/(E^((x^10 + (-8*x^6 + 2*x^7)*Log[2]^2 + (16*x^2 - 8*x^3 + x^4)*Log[2]^4)/Log[2]^4)*Log[2]^4),x]","e^{-16 x^2} \left(3 \exp \left(x^3 \left(-\frac{x^7}{\log ^4(2)}-\frac{2 x^4}{\log ^2(2)}+\frac{8 x^3}{\log ^2(2)}-x+8\right)\right)+e^{17 x^2}\right)","e^{x^2}+3 e^{-x^2 \left(-\frac{x^4}{\log ^2(2)}-x+4\right)^2}",1,"(E^(17*x^2) + 3*E^(x^3*(8 - x - x^7/Log[2]^4 + (8*x^3)/Log[2]^2 - (2*x^4)/Log[2]^2)))/E^(16*x^2)","A",1
6614,1,23,21,0.2192488,"\int \frac{-20 x^2+4 e x^2+\left(10 x^2-2 e x^2\right) \log (x)+\left(-2+e^x (-1+x)\right) \log ^3(x)}{x^2 \log ^3(x)} \, dx","Integrate[(-20*x^2 + 4*E*x^2 + (10*x^2 - 2*E*x^2)*Log[x] + (-2 + E^x*(-1 + x))*Log[x]^3)/(x^2*Log[x]^3),x]","\frac{e^x}{x}+\frac{2}{x}-\frac{2 (e-5) x}{\log ^2(x)}","\frac{e^x+2}{x}-\frac{2 (e-5) x}{\log ^2(x)}-1",1,"2/x + E^x/x - (2*(-5 + E)*x)/Log[x]^2","A",1
6615,1,24,29,0.3455293,"\int \frac{144-8 x+8 x \log (3)+\left(-108-48 x+16 x^2+(-36+8 x) \log (3)\right) \log \left(\frac{1}{9} (45-10 x)\right)+\left(9 x^2-2 x^3\right) \log ^2\left(\frac{1}{9} (45-10 x)\right)}{-144+32 x+\left(72 x-16 x^2\right) \log \left(\frac{1}{9} (45-10 x)\right)+\left(-9 x^2+2 x^3\right) \log ^2\left(\frac{1}{9} (45-10 x)\right)} \, dx","Integrate[(144 - 8*x + 8*x*Log[3] + (-108 - 48*x + 16*x^2 + (-36 + 8*x)*Log[3])*Log[(45 - 10*x)/9] + (9*x^2 - 2*x^3)*Log[(45 - 10*x)/9]^2)/(-144 + 32*x + (72*x - 16*x^2)*Log[(45 - 10*x)/9] + (-9*x^2 + 2*x^3)*Log[(45 - 10*x)/9]^2),x]","-x-\frac{4 (3+\log (3))}{x \log \left(5-\frac{10 x}{9}\right)-4}","-x+\frac{x (3+\log (3))}{\frac{4}{\log \left(5-\frac{10 x}{9}\right)}-x}-25",1,"-x - (4*(3 + Log[3]))/(-4 + x*Log[5 - (10*x)/9])","A",1
6616,1,18,15,0.013016,"\int \left(5 e x+\frac{1}{2} e^{1+e^x} x \left(10+5 e^x x\right)\right) \, dx","Integrate[5*E*x + (E^(1 + E^x)*x*(10 + 5*E^x*x))/2,x]","\frac{5}{2} e \left(e^{e^x} x^2+x^2\right)","\frac{5}{2} e x \left(e^{e^x} x+x\right)",1,"(5*E*(x^2 + E^E^x*x^2))/2","A",1
6617,1,14,16,0.0132816,"\int \frac{e^{-\frac{-9+6 x+3 x^2}{x}} \left(-9+x-3 x^2\right)}{x} \, dx","Integrate[(-9 + x - 3*x^2)/(E^((-9 + 6*x + 3*x^2)/x)*x),x]","e^{-3 x+\frac{9}{x}-6} x","e^{-3 \left(x-\frac{3}{x}+2\right)} x-5",1,"E^(-6 + 9/x - 3*x)*x","A",1
6618,1,25,24,0.2291574,"\int \frac{e^{7-e^{-\frac{x}{-x+\log (10+5 x)}}} \left(2 x^2+x^3+\left(-4 x-2 x^2\right) \log (10+5 x)+(2+x) \log ^2(10+5 x)+e^{-\frac{x}{-x+\log (10+5 x)}} \left(-x^2+\left(2 x+x^2\right) \log (10+5 x)\right)\right)}{2 x^2+x^3+\left(-4 x-2 x^2\right) \log (10+5 x)+(2+x) \log ^2(10+5 x)} \, dx","Integrate[(E^(7 - E^(-(x/(-x + Log[10 + 5*x]))))*(2*x^2 + x^3 + (-4*x - 2*x^2)*Log[10 + 5*x] + (2 + x)*Log[10 + 5*x]^2 + (-x^2 + (2*x + x^2)*Log[10 + 5*x])/E^(x/(-x + Log[10 + 5*x]))))/(2*x^2 + x^3 + (-4*x - 2*x^2)*Log[10 + 5*x] + (2 + x)*Log[10 + 5*x]^2),x]","x e^{7-e^{-\frac{x}{\log (5 (x+2))-x}}}","x e^{7-e^{\frac{x}{x-\log (5 x+10)}}}",1,"E^(7 - E^(-(x/(-x + Log[5*(2 + x)]))))*x","A",1
6619,1,16,19,0.1858071,"\int \frac{\exp \left(5+e^{\frac{-40+8 x-96 x^2}{x}}+\frac{-40+8 x-96 x^2}{x}\right) \left(40-96 x^2\right)}{x^2} \, dx","Integrate[(E^(5 + E^((-40 + 8*x - 96*x^2)/x) + (-40 + 8*x - 96*x^2)/x)*(40 - 96*x^2))/x^2,x]","e^{e^{-96 x-\frac{40}{x}+8}+5}","e^{e^{8 \left(\frac{x-5}{x}-12 x\right)}+5}",1,"E^(5 + E^(8 - 40/x - 96*x))","A",1
6620,1,33,27,0.0575621,"\int \frac{10 x^2-6 x^3+6 x^4+\left(-15 x^2+12 x^3-15 x^4\right) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)+(24-48 x) \log \left(x^2\right) \log ^2\left(\log \left(x^2\right)\right)}{6 \log \left(x^2\right) \log ^2\left(\log \left(x^2\right)\right)} \, dx","Integrate[(10*x^2 - 6*x^3 + 6*x^4 + (-15*x^2 + 12*x^3 - 15*x^4)*Log[x^2]*Log[Log[x^2]] + (24 - 48*x)*Log[x^2]*Log[Log[x^2]]^2)/(6*Log[x^2]*Log[Log[x^2]]^2),x]","-4 x^2-\frac{\left(3 x^2-3 x+5\right) x^3}{6 \log \left(\log \left(x^2\right)\right)}+4 x","\left(-x^2+x-\frac{5}{3}\right) \left(\frac{x^3}{2 \log \left(\log \left(x^2\right)\right)}+4\right)",1,"4*x - 4*x^2 - (x^3*(5 - 3*x + 3*x^2))/(6*Log[Log[x^2]])","A",1
6621,1,23,26,0.1039688,"\int \frac{-x+x^2+e^{-x+x^2} \left(-1-x+2 x^2\right)}{5 x^2} \, dx","Integrate[(-x + x^2 + E^(-x + x^2)*(-1 - x + 2*x^2))/(5*x^2),x]","\frac{1}{5} \left(\frac{e^{x^2-x}}{x}+x-\log (x)\right)","\frac{1}{5} \left(\frac{e^{x^2-x}}{x}+x-\log (x)+11\right)+4",1,"(E^(-x + x^2)/x + x - Log[x])/5","A",1
6622,1,23,23,0.0745599,"\int \frac{e^{\frac{1}{9} \left(9+9 e^{1+x}-9 x+x^4\right)} \left(-36-9 x+9 e^{1+x} x+4 x^4\right)}{9 x^5} \, dx","Integrate[(E^((9 + 9*E^(1 + x) - 9*x + x^4)/9)*(-36 - 9*x + 9*E^(1 + x)*x + 4*x^4))/(9*x^5),x]","\frac{e^{\frac{x^4}{9}-x+e^{x+1}+1}}{x^4}","\frac{e^{\frac{x^4}{9}-x+e^{x+1}+1}}{x^4}",1,"E^(1 + E^(1 + x) - x + x^4/9)/x^4","A",1
6623,1,29,29,0.1363578,"\int \frac{e^x \left(-1600 x^2-64 x^5\right)+e^{5 e^{-x}} \left(e^x \left(3200-256 x^3\right)+\left(16000 x+640 x^4\right) \log \left(\frac{25+x^3}{x}\right)\right)}{e^x \left(25 x^7+x^{10}\right)+e^{5 e^{-x}+x} \left(300 x^5+12 x^8\right) \log \left(\frac{25+x^3}{x}\right)+e^{10 e^{-x}+x} \left(1200 x^3+48 x^6\right) \log ^2\left(\frac{25+x^3}{x}\right)+e^{15 e^{-x}+x} \left(1600 x+64 x^4\right) \log ^3\left(\frac{25+x^3}{x}\right)} \, dx","Integrate[(E^x*(-1600*x^2 - 64*x^5) + E^(5/E^x)*(E^x*(3200 - 256*x^3) + (16000*x + 640*x^4)*Log[(25 + x^3)/x]))/(E^x*(25*x^7 + x^10) + E^(5/E^x + x)*(300*x^5 + 12*x^8)*Log[(25 + x^3)/x] + E^(10/E^x + x)*(1200*x^3 + 48*x^6)*Log[(25 + x^3)/x]^2 + E^(15/E^x + x)*(1600*x + 64*x^4)*Log[(25 + x^3)/x]^3),x]","\frac{16}{\left(4 e^{5 e^{-x}} \log \left(\frac{x^3+25}{x}\right)+x^2\right)^2}","\frac{16}{\left(x^2+4 e^{5 e^{-x}} \log \left(x^2+\frac{25}{x}\right)\right)^2}",1,"16/(x^2 + 4*E^(5/E^x)*Log[(25 + x^3)/x])^2","A",1
6624,1,13,16,0.1403346,"\int \frac{1260 x^2+16 x^3+\left(-252 x^2-3 x^3\right) \log (84+x)}{2100+25 x+(-840-10 x) \log (84+x)+(84+x) \log ^2(84+x)} \, dx","Integrate[(1260*x^2 + 16*x^3 + (-252*x^2 - 3*x^3)*Log[84 + x])/(2100 + 25*x + (-840 - 10*x)*Log[84 + x] + (84 + x)*Log[84 + x]^2),x]","-\frac{x^3}{\log (x+84)-5}","\log (4)-\frac{x^3}{\log (x+84)-5}",1,"-(x^3/(-5 + Log[84 + x]))","A",1
6625,1,23,16,0.0044306,"\int \frac{752+256 e^3}{2209+256 e^6+e^3 (1504-2560 x)-7520 x+6400 x^2} \, dx","Integrate[(752 + 256*E^3)/(2209 + 256*E^6 + E^3*(1504 - 2560*x) - 7520*x + 6400*x^2),x]","\frac{47+16 e^3}{5 \left(-80 x+16 e^3+47\right)}","\frac{x}{-5 x+e^3+\frac{47}{16}}-1",1,"(47 + 16*E^3)/(5*(47 + 16*E^3 - 80*x))","A",1
6626,1,19,16,0.0396883,"\int \frac{e^{-x} \left(-819200000000-25600000000 x-30720000000000 x^2-1024000000000 x^3-537600000000000 x^4-19200000000000 x^5-5824000000000000 x^6-224000000000000 x^7-43680000000000000 x^8-1820000000000000 x^9-240240000000000000 x^{10}-10920000000000000 x^{11}-1001000000000000000 x^{12}-50050000000000000 x^{13}-3217500000000000000 x^{14}-178750000000000000 x^{15}-8043750000000000000 x^{16}-502734375000000000 x^{17}-15640625000000000000 x^{18}-1117187500000000000 x^{19}-23460937500000000000 x^{20}-1955078125000000000 x^{21}-26660156250000000000 x^{22}-2666015625000000000 x^{23}-22216796875000000000 x^{24}-2777099609375000000 x^{25}-12817382812500000000 x^{26}-2136230468750000000 x^{27}-4577636718750000000 x^{28}-1144409179687500000 x^{29}-762939453125000000 x^{30}-381469726562500000 x^{31}-59604644775390625 x^{33}\right)}{x^{33}} \, dx","Integrate[(-819200000000 - 25600000000*x - 30720000000000*x^2 - 1024000000000*x^3 - 537600000000000*x^4 - 19200000000000*x^5 - 5824000000000000*x^6 - 224000000000000*x^7 - 43680000000000000*x^8 - 1820000000000000*x^9 - 240240000000000000*x^10 - 10920000000000000*x^11 - 1001000000000000000*x^12 - 50050000000000000*x^13 - 3217500000000000000*x^14 - 178750000000000000*x^15 - 8043750000000000000*x^16 - 502734375000000000*x^17 - 15640625000000000000*x^18 - 1117187500000000000*x^19 - 23460937500000000000*x^20 - 1955078125000000000*x^21 - 26660156250000000000*x^22 - 2666015625000000000*x^23 - 22216796875000000000*x^24 - 2777099609375000000*x^25 - 12817382812500000000*x^26 - 2136230468750000000*x^27 - 4577636718750000000*x^28 - 1144409179687500000*x^29 - 762939453125000000*x^30 - 381469726562500000*x^31 - 59604644775390625*x^33)/(E^x*x^33),x]","\frac{390625 e^{-x} \left(5 x^2+2\right)^{16}}{x^{32}}","390625 e^{-x} \left(\frac{2}{x^2}+5\right)^{16}",1,"(390625*(2 + 5*x^2)^16)/(E^x*x^32)","A",1
6627,1,47,12,0.0512146,"\int \frac{\left(32+16 x+2 x^2\right) \log (-2+x)+\left(-16+4 x+2 x^2\right) \log ^2(-2+x)}{-2+x} \, dx","Integrate[((32 + 16*x + 2*x^2)*Log[-2 + x] + (-16 + 4*x + 2*x^2)*Log[-2 + x]^2)/(-2 + x),x]","2 \left(\frac{1}{2} x^2 \log ^2(x-2)+4 x \log ^2(x-2)+8 \log ^2(x-2)+2 \log (x-2)-2 \log (2-x)\right)","(x+4)^2 \log ^2(x-2)",1,"2*(-2*Log[2 - x] + 2*Log[-2 + x] + 8*Log[-2 + x]^2 + 4*x*Log[-2 + x]^2 + (x^2*Log[-2 + x]^2)/2)","B",1
6628,1,31,18,0.0071435,"\int \frac{-98 x+58 x^2+(-14-29 x) \log (2)-14 x \log \left(\frac{1}{x}\right)}{14 x} \, dx","Integrate[(-98*x + 58*x^2 + (-14 - 29*x)*Log[2] - 14*x*Log[x^(-1)])/(14*x),x]","\frac{29 x^2}{14}-8 x-x \log \left(\frac{1}{x}\right)-\frac{29}{14} x \log (2)-\log (2) \log (x)","(\log (2)-x) \left(-\frac{29 x}{14}+\log \left(\frac{1}{x}\right)+8\right)",1,"-8*x + (29*x^2)/14 - (29*x*Log[2])/14 - x*Log[x^(-1)] - Log[2]*Log[x]","A",1
6629,1,22,22,0.1726268,"\int \frac{\exp \left(\frac{x+(24-6 x+(-12+3 x) \log (5)) \log ^2(5 x)}{(-12+3 x) \log ^2(5 x)}\right) (8-2 x-4 \log (5 x))}{\left(48-24 x+3 x^2\right) \log ^3(5 x)} \, dx","Integrate[(E^((x + (24 - 6*x + (-12 + 3*x)*Log[5])*Log[5*x]^2)/((-12 + 3*x)*Log[5*x]^2))*(8 - 2*x - 4*Log[5*x]))/((48 - 24*x + 3*x^2)*Log[5*x]^3),x]","5 e^{\frac{x}{3 (x-4) \log ^2(5 x)}-2}","5 e^{\frac{x}{3 (x-4) \log ^2(5 x)}-2}",1,"5*E^(-2 + x/(3*(-4 + x)*Log[5*x]^2))","A",1
6630,1,14,16,0.0278364,"\int \frac{e^{e^{3+x}} \left(8 \log ^7(4+x)+e^{3+x} (4+x) \log ^8(4+x)\right)}{4+x} \, dx","Integrate[(E^E^(3 + x)*(8*Log[4 + x]^7 + E^(3 + x)*(4 + x)*Log[4 + x]^8))/(4 + x),x]","e^{e^{x+3}} \log ^8(x+4)","e^{e^{x+3}} \log ^8(x+4)+6",1,"E^E^(3 + x)*Log[4 + x]^8","A",1
6631,1,75,29,1.3588768,"\int \frac{-x \log (2)+e^{e^{\frac{-4+x^4 \log (2)}{x \log (2)}}} \left(-5 x \log (2)+e^{\frac{-4+x^4 \log (2)}{x \log (2)}} \left(20+15 x^4 \log (2)\right)\right)}{5 x^3 \log (2)} \, dx","Integrate[(-(x*Log[2]) + E^E^((-4 + x^4*Log[2])/(x*Log[2]))*(-5*x*Log[2] + E^((-4 + x^4*Log[2])/(x*Log[2]))*(20 + 15*x^4*Log[2])))/(5*x^3*Log[2]),x]","\frac{\int \frac{e^{e^{\frac{x^4 \log (2)-4}{x \log (2)}}} \left(e^{\frac{x^4 \log (2)-4}{x \log (2)}} \left(15 x^4 \log (2)+20\right)-5 x \log (2)\right)-x \log (2)}{x^3} \, dx}{5 \log (2)}","\frac{e^{e^{x^3-\frac{4}{x \log (2)}}}}{x}+\frac{1}{5 x}",1,"Integrate[(-(x*Log[2]) + E^E^((-4 + x^4*Log[2])/(x*Log[2]))*(-5*x*Log[2] + E^((-4 + x^4*Log[2])/(x*Log[2]))*(20 + 15*x^4*Log[2])))/x^3, x]/(5*Log[2])","F",1
6632,1,51,30,0.0969045,"\int \frac{5 e^{16 x^2-4 x^3}+e^{16 x^2-4 x^3} \left(-5+160 x^2-60 x^3\right) \log \left(\frac{1}{x}\right)+20 \log ^2\left(\frac{1}{x}\right)}{e^{32 x^2-8 x^3}+e^{16 x^2-4 x^3} (-8-2 x) \log \left(\frac{1}{x}\right)+\left(16+8 x+x^2\right) \log ^2\left(\frac{1}{x}\right)} \, dx","Integrate[(5*E^(16*x^2 - 4*x^3) + E^(16*x^2 - 4*x^3)*(-5 + 160*x^2 - 60*x^3)*Log[x^(-1)] + 20*Log[x^(-1)]^2)/(E^(32*x^2 - 8*x^3) + E^(16*x^2 - 4*x^3)*(-8 - 2*x)*Log[x^(-1)] + (16 + 8*x + x^2)*Log[x^(-1)]^2),x]","\frac{5 \left(4 e^{4 x^3} \log \left(\frac{1}{x}\right)-e^{16 x^2}\right)}{e^{16 x^2}-e^{4 x^3} (x+4) \log \left(\frac{1}{x}\right)}","\frac{5 x}{-\frac{e^{4 (4-x) x^2}}{\log \left(\frac{1}{x}\right)}+x+4}-3",1,"(5*(-E^(16*x^2) + 4*E^(4*x^3)*Log[x^(-1)]))/(E^(16*x^2) - E^(4*x^3)*(4 + x)*Log[x^(-1)])","A",1
6633,1,37,34,0.3704464,"\int \frac{-4 x-2 e^3 x-6 x^2+\left(10+4 e^3\right) \log (3)+\left(-6 x-2 e^3 x+6 x^2+\left(6+2 e^3-6 x\right) \log (3)\right) \log (x-\log (3))+\log (2 x) (-x+2 \log (3)+(-x+\log (3)) \log (x-\log (3)))+\left(-6 x-2 e^3 x+6 x^2+\left(6+2 e^3-6 x\right) \log (3)+(-x+\log (3)) \log (2 x)\right) \log \left(\frac{36+4 e^6+e^3 (24-24 x)-72 x+36 x^2+\left(12+4 e^3-12 x\right) \log (2 x)+\log ^2(2 x)}{4 x^2}\right)}{\left(-6 x-2 e^3 x+6 x^2+\left(6+2 e^3-6 x\right) \log (3)\right) \log ^2(x-\log (3))+(-x+\log (3)) \log (2 x) \log ^2(x-\log (3))+\left(\left(-12 x-4 e^3 x+12 x^2+\left(12+4 e^3-12 x\right) \log (3)\right) \log (x-\log (3))+(-2 x+2 \log (3)) \log (2 x) \log (x-\log (3))\right) \log \left(\frac{36+4 e^6+e^3 (24-24 x)-72 x+36 x^2+\left(12+4 e^3-12 x\right) \log (2 x)+\log ^2(2 x)}{4 x^2}\right)+\left(-6 x-2 e^3 x+6 x^2+\left(6+2 e^3-6 x\right) \log (3)+(-x+\log (3)) \log (2 x)\right) \log ^2\left(\frac{36+4 e^6+e^3 (24-24 x)-72 x+36 x^2+\left(12+4 e^3-12 x\right) \log (2 x)+\log ^2(2 x)}{4 x^2}\right)} \, dx","Integrate[(-4*x - 2*E^3*x - 6*x^2 + (10 + 4*E^3)*Log[3] + (-6*x - 2*E^3*x + 6*x^2 + (6 + 2*E^3 - 6*x)*Log[3])*Log[x - Log[3]] + Log[2*x]*(-x + 2*Log[3] + (-x + Log[3])*Log[x - Log[3]]) + (-6*x - 2*E^3*x + 6*x^2 + (6 + 2*E^3 - 6*x)*Log[3] + (-x + Log[3])*Log[2*x])*Log[(36 + 4*E^6 + E^3*(24 - 24*x) - 72*x + 36*x^2 + (12 + 4*E^3 - 12*x)*Log[2*x] + Log[2*x]^2)/(4*x^2)])/((-6*x - 2*E^3*x + 6*x^2 + (6 + 2*E^3 - 6*x)*Log[3])*Log[x - Log[3]]^2 + (-x + Log[3])*Log[2*x]*Log[x - Log[3]]^2 + ((-12*x - 4*E^3*x + 12*x^2 + (12 + 4*E^3 - 12*x)*Log[3])*Log[x - Log[3]] + (-2*x + 2*Log[3])*Log[2*x]*Log[x - Log[3]])*Log[(36 + 4*E^6 + E^3*(24 - 24*x) - 72*x + 36*x^2 + (12 + 4*E^3 - 12*x)*Log[2*x] + Log[2*x]^2)/(4*x^2)] + (-6*x - 2*E^3*x + 6*x^2 + (6 + 2*E^3 - 6*x)*Log[3] + (-x + Log[3])*Log[2*x])*Log[(36 + 4*E^6 + E^3*(24 - 24*x) - 72*x + 36*x^2 + (12 + 4*E^3 - 12*x)*Log[2*x] + Log[2*x]^2)/(4*x^2)]^2),x]","\frac{x}{\log \left(\frac{\left(-6 x+\log (2 x)+2 e^3+6\right)^2}{x^2}\right)+\log \left(\frac{1}{4} (x-\log (3))\right)}","\frac{x}{\log (x-\log (3))+\log \left(\left(\frac{\frac{1}{2} \log (2 x)+e^3+3}{x}-3\right)^2\right)}",1,"x/(Log[(x - Log[3])/4] + Log[(6 + 2*E^3 - 6*x + Log[2*x])^2/x^2])","A",1
6634,1,30,34,0.1039928,"\int \frac{\exp \left(\frac{-8+x-2 \log (x)+10 x \log (4-2 x-\log (5))}{2 x \log (4-2 x-\log (5))}\right) \left(8 x-x^2+(-12+6 x+3 \log (5)) \log (4-2 x-\log (5))+\log (x) (2 x+(-4+2 x+\log (5)) \log (4-2 x-\log (5)))\right)}{\left(-4 x^2+2 x^3+x^2 \log (5)\right) \log ^2(4-2 x-\log (5))} \, dx","Integrate[(E^((-8 + x - 2*Log[x] + 10*x*Log[4 - 2*x - Log[5]])/(2*x*Log[4 - 2*x - Log[5]]))*(8*x - x^2 + (-12 + 6*x + 3*Log[5])*Log[4 - 2*x - Log[5]] + Log[x]*(2*x + (-4 + 2*x + Log[5])*Log[4 - 2*x - Log[5]])))/((-4*x^2 + 2*x^3 + x^2*Log[5])*Log[4 - 2*x - Log[5]]^2),x]","\exp \left(\frac{x-2 \log (x)-8}{2 x \log (-2 x+4-\log (5))}+5\right)","\exp \left(\frac{x+\frac{\frac{x}{2}-\log (x)-4}{\log (-2 x+4-\log (5))}}{x}+4\right)",1,"E^(5 + (-8 + x - 2*Log[x])/(2*x*Log[4 - 2*x - Log[5]]))","A",1
6635,1,9,9,0.0474658,"\int \frac{e^{-35+x+\log ^2(x)} (x+2 \log (x))}{x} \, dx","Integrate[(E^(-35 + x + Log[x]^2)*(x + 2*Log[x]))/x,x]","e^{x+\log ^2(x)-35}","e^{x+\log ^2(x)-35}",1,"E^(-35 + x + Log[x]^2)","A",1
6636,1,18,20,0.3471116,"\int \frac{e^{\frac{e}{\log \left(e^{3/x}+x\right)}} \left(-3 e^{1+\frac{3}{x}}+e x^2\right)}{\left(e^{3/x} x^2+x^3\right) \log ^2\left(e^{3/x}+x\right)} \, dx","Integrate[(E^(E/Log[E^(3/x) + x])*(-3*E^(1 + 3/x) + E*x^2))/((E^(3/x)*x^2 + x^3)*Log[E^(3/x) + x]^2),x]","-e^{\frac{e}{\log \left(x+e^{3/x}\right)}}","-e^{\frac{e}{\log \left(x+e^{3/x}\right)}}-7",1,"-E^(E/Log[E^(3/x) + x])","A",1
6637,1,26,26,0.126402,"\int \frac{e^x \left(-20+12 x+7 x^2+x^4\right)+e^3 \left(-x^3+3 x^4+2 x^5\right)+e^x \left(-2+x+x^2\right) \log (2+x)+\left(e^3 \left(20 x^2+8 x^3+x^4+x^5\right)+e^3 \left(2 x^2+x^3\right) \log (2+x)\right) \log \left(10-x+x^2+\log (2+x)\right)}{20 x^2+8 x^3+x^4+x^5+\left(2 x^2+x^3\right) \log (2+x)} \, dx","Integrate[(E^x*(-20 + 12*x + 7*x^2 + x^4) + E^3*(-x^3 + 3*x^4 + 2*x^5) + E^x*(-2 + x + x^2)*Log[2 + x] + (E^3*(20*x^2 + 8*x^3 + x^4 + x^5) + E^3*(2*x^2 + x^3)*Log[2 + x])*Log[10 - x + x^2 + Log[2 + x]])/(20*x^2 + 8*x^3 + x^4 + x^5 + (2*x^2 + x^3)*Log[2 + x]),x]","e^3 x \log \left(x^2-x+\log (x+2)+10\right)+\frac{e^x}{x}","e^3 x \log \left(x^2-x+\log (x+2)+10\right)+\frac{e^x}{x}",1,"E^x/x + E^3*x*Log[10 - x + x^2 + Log[2 + x]]","A",1
6638,1,23,30,0.5421918,"\int \frac{-64-16 x+36 x^2-11 x^3+x^4+e^{\frac{-16 x+8 x^2-x^3+25 \log ^2(3)}{16-8 x+x^2}} \left(-64 x+48 x^2-12 x^3+x^4+50 x \log ^2(3)\right)}{-64 x+48 x^2-12 x^3+x^4} \, dx","Integrate[(-64 - 16*x + 36*x^2 - 11*x^3 + x^4 + E^((-16*x + 8*x^2 - x^3 + 25*Log[3]^2)/(16 - 8*x + x^2))*(-64*x + 48*x^2 - 12*x^3 + x^4 + 50*x*Log[3]^2))/(-64*x + 48*x^2 - 12*x^3 + x^4),x]","x-e^{\frac{25 \log ^2(3)}{(x-4)^2}-x}+\log (x)","x-e^{\frac{25 \log ^2(3)}{(4-x)^2}-x}+\log \left(\frac{3 x}{2}\right)-5",1,"-E^(-x + (25*Log[3]^2)/(-4 + x)^2) + x + Log[x]","A",1
6639,1,30,36,0.1687618,"\int \frac{\exp \left(e^{\frac{-137 x+25 x^2+4 x^3}{-28+5 x+x^2}} x^2+\frac{-137 x+25 x^2+4 x^3}{-28+5 x+x^2}\right) \left(1568 x+3276 x^2-1462 x^3-54 x^4+42 x^5+4 x^6\right)}{784-280 x-31 x^2+10 x^3+x^4} \, dx","Integrate[(E^(E^((-137*x + 25*x^2 + 4*x^3)/(-28 + 5*x + x^2))*x^2 + (-137*x + 25*x^2 + 4*x^3)/(-28 + 5*x + x^2))*(1568*x + 3276*x^2 - 1462*x^3 - 54*x^4 + 42*x^5 + 4*x^6))/(784 - 280*x - 31*x^2 + 10*x^3 + x^4),x]","\exp \left(e^{-\frac{10 (5 x-14)}{x^2+5 x-28}+4 x+5} x^2\right)","e^{e^{x \left(\frac{x}{\frac{5 (5-x)}{x-\frac{3}{x}}-x}+5\right)} x^2}",1,"E^(E^(5 + 4*x - (10*(-14 + 5*x))/(-28 + 5*x + x^2))*x^2)","A",1
6640,1,17,17,0.045064,"\int \frac{25 \sqrt[35]{e}+\left(1-10 \sqrt[35]{e}\right) e^x+e^{\frac{1}{35}+2 x}}{25 \sqrt[35]{e}-10 e^{\frac{1}{35}+x}+e^{\frac{1}{35}+2 x}} \, dx","Integrate[(25*E^(1/35) + (1 - 10*E^(1/35))*E^x + E^(1/35 + 2*x))/(25*E^(1/35) - 10*E^(1/35 + x) + E^(1/35 + 2*x)),x]","x+\frac{1}{\sqrt[35]{e} \left(5-e^x\right)}","x+\frac{1}{\sqrt[35]{e} \left(5-e^x\right)}",1,"1/(E^(1/35)*(5 - E^x)) + x","A",1
6641,1,26,29,0.0395473,"\int \frac{-\log (3)+e^{16+\log ^2(x)} x^8 (-35 \log (3) \log (5)-10 \log (3) \log (5) \log (x))}{x^2 \log (5)} \, dx","Integrate[(-Log[3] + E^(16 + Log[x]^2)*x^8*(-35*Log[3]*Log[5] - 10*Log[3]*Log[5]*Log[x]))/(x^2*Log[5]),x]","\frac{\log (3) \left(\frac{1}{x}-5 x^7 \log (5) e^{\log ^2(x)+16}\right)}{\log (5)}","\frac{x-\log (3) \left(5 \left(x+e^{(\log (x)+4)^2}\right)-\frac{1}{\log (5)}\right)}{x}",1,"(Log[3]*(x^(-1) - 5*E^(16 + Log[x]^2)*x^7*Log[5]))/Log[5]","A",1
6642,1,17,21,0.0134963,"\int \frac{-5 x+e^x (-2+2 x)}{2 x^2} \, dx","Integrate[(-5*x + E^x*(-2 + 2*x))/(2*x^2),x]","\frac{1}{2} \left(\frac{2 e^x}{x}-5 \log (x)\right)","\frac{e^x+x \left(-\frac{5 \log (x)}{2}+e^3+7\right)}{x}",1,"((2*E^x)/x - 5*Log[x])/2","A",1
6643,1,5,5,0.0000615,"\int \frac{1}{e^7} \, dx","Integrate[E^(-7),x]","\frac{x}{e^7}","\frac{x}{e^7}",1,"x/E^7","A",1
6644,1,34,26,0.2101478,"\int \frac{-16 x^2+e^{576-48 x+x^2+(48-2 x) \log (x)+\log ^2(x)} \left(4 x^2+\left(-240+250 x-106 x^2+100 x^3-4 x^4+\left(-10+10 x-4 x^2+4 x^3\right) \log (x)\right) \log \left(5+2 x^2\right)\right)}{\left(5 x+2 x^3\right) \log ^2\left(5+2 x^2\right)} \, dx","Integrate[(-16*x^2 + E^(576 - 48*x + x^2 + (48 - 2*x)*Log[x] + Log[x]^2)*(4*x^2 + (-240 + 250*x - 106*x^2 + 100*x^3 - 4*x^4 + (-10 + 10*x - 4*x^2 + 4*x^3)*Log[x])*Log[5 + 2*x^2]))/((5*x + 2*x^3)*Log[5 + 2*x^2]^2),x]","\frac{4-x^{48-2 x} e^{(x-24)^2+\log ^2(x)}}{\log \left(2 x^2+5\right)}","\frac{4-e^{(-x+\log (x)+24)^2}}{\log \left(2 x^2+5\right)}",1,"(4 - E^((-24 + x)^2 + Log[x]^2)*x^(48 - 2*x))/Log[5 + 2*x^2]","A",1
6645,1,26,28,0.0381911,"\int \frac{-8+24 x^2+e^x \left(-4+4 x-x^2\right)}{3 x^2} \, dx","Integrate[(-8 + 24*x^2 + E^x*(-4 + 4*x - x^2))/(3*x^2),x]","\frac{1}{3} \left(24 x-e^x+\frac{4 e^x}{x}+\frac{8}{x}\right)","\frac{1}{3} \left(e^x+2\right) \left(\frac{1-x}{x}+\frac{3}{x}\right)+8 x",1,"(-E^x + 8/x + (4*E^x)/x + 24*x)/3","A",1
6646,1,18,20,0.1201509,"\int \frac{-5-10 x+8 e^{\frac{10+2 x}{1+x}} x-5 x^2}{x+2 x^2+x^3} \, dx","Integrate[(-5 - 10*x + 8*E^((10 + 2*x)/(1 + x))*x - 5*x^2)/(x + 2*x^2 + x^3),x]","-e^{\frac{8}{x+1}+2}-5 \log (x)","-\log \left(x^5\right)-e^{\frac{8}{x+1}+2}",1,"-E^(2 + 8/(1 + x)) - 5*Log[x]","A",1
6647,1,58,40,0.3666756,"\int \frac{4800-4800 x+3600 x^2-4800 x^3+2100 x^4-900 x^5+75 x^6-75 x^7+e^8 \left(-600 x+600 x^2+150 x^3-150 x^4\right)+e^4 \left(1800 x^2-1800 x^3-150 x^4+150 x^5\right)+\left(4800-9600 x+3600 x^2-7500 x^3+1500 x^4-1875 x^5+225 x^6-150 x^7+e^8 \left(-300 x+600 x^2-75 x^3+150 x^4\right)+e^4 \left(600 x^2-1200 x^3+150 x^4-300 x^5\right)\right) \log \left(\frac{16 x-e^8 x^2+8 x^3+2 e^4 x^3-x^4+x^5}{16+8 x^2+x^4}\right)+\left(-8000+16000 x-6000 x^2+12500 x^3-2500 x^4+3125 x^5-375 x^6+250 x^7+e^8 \left(500 x-1000 x^2+125 x^3-250 x^4\right)+e^4 \left(-1000 x^2+2000 x^3-250 x^4+500 x^5\right)\right) \log ^2\left(\frac{16 x-e^8 x^2+8 x^3+2 e^4 x^3-x^4+x^5}{16+8 x^2+x^4}\right)}{-576-432 x^2+36 x^3-108 x^4+9 x^5-9 x^6+e^8 \left(36 x+9 x^3\right)+e^4 \left(-72 x^2-18 x^4\right)+\left(1920+1440 x^2-120 x^3+360 x^4-30 x^5+30 x^6+e^8 \left(-120 x-30 x^3\right)+e^4 \left(240 x^2+60 x^4\right)\right) \log \left(\frac{16 x-e^8 x^2+8 x^3+2 e^4 x^3-x^4+x^5}{16+8 x^2+x^4}\right)+\left(-1600-1200 x^2+100 x^3-300 x^4+25 x^5-25 x^6+e^8 \left(100 x+25 x^3\right)+e^4 \left(-200 x^2-50 x^4\right)\right) \log ^2\left(\frac{16 x-e^8 x^2+8 x^3+2 e^4 x^3-x^4+x^5}{16+8 x^2+x^4}\right)} \, dx","Integrate[(4800 - 4800*x + 3600*x^2 - 4800*x^3 + 2100*x^4 - 900*x^5 + 75*x^6 - 75*x^7 + E^8*(-600*x + 600*x^2 + 150*x^3 - 150*x^4) + E^4*(1800*x^2 - 1800*x^3 - 150*x^4 + 150*x^5) + (4800 - 9600*x + 3600*x^2 - 7500*x^3 + 1500*x^4 - 1875*x^5 + 225*x^6 - 150*x^7 + E^8*(-300*x + 600*x^2 - 75*x^3 + 150*x^4) + E^4*(600*x^2 - 1200*x^3 + 150*x^4 - 300*x^5))*Log[(16*x - E^8*x^2 + 8*x^3 + 2*E^4*x^3 - x^4 + x^5)/(16 + 8*x^2 + x^4)] + (-8000 + 16000*x - 6000*x^2 + 12500*x^3 - 2500*x^4 + 3125*x^5 - 375*x^6 + 250*x^7 + E^8*(500*x - 1000*x^2 + 125*x^3 - 250*x^4) + E^4*(-1000*x^2 + 2000*x^3 - 250*x^4 + 500*x^5))*Log[(16*x - E^8*x^2 + 8*x^3 + 2*E^4*x^3 - x^4 + x^5)/(16 + 8*x^2 + x^4)]^2)/(-576 - 432*x^2 + 36*x^3 - 108*x^4 + 9*x^5 - 9*x^6 + E^8*(36*x + 9*x^3) + E^4*(-72*x^2 - 18*x^4) + (1920 + 1440*x^2 - 120*x^3 + 360*x^4 - 30*x^5 + 30*x^6 + E^8*(-120*x - 30*x^3) + E^4*(240*x^2 + 60*x^4))*Log[(16*x - E^8*x^2 + 8*x^3 + 2*E^4*x^3 - x^4 + x^5)/(16 + 8*x^2 + x^4)] + (-1600 - 1200*x^2 + 100*x^3 - 300*x^4 + 25*x^5 - 25*x^6 + E^8*(100*x + 25*x^3) + E^4*(-200*x^2 - 50*x^4))*Log[(16*x - E^8*x^2 + 8*x^3 + 2*E^4*x^3 - x^4 + x^5)/(16 + 8*x^2 + x^4)]^2),x]","5 x \left(-\frac{3 (x-1)}{5 \log \left(\frac{x \left(x^4-x^3+2 e^4 x^2+8 x^2-e^8 x+16\right)}{\left(x^2+4\right)^2}\right)-3}-x+1\right)","\frac{25 \left(x^2-x\right)}{\frac{3}{\log \left(x-\frac{\left(e^4-x\right)^2}{\left(x+\frac{4}{x}\right)^2}\right)}-5}",1,"5*x*(1 - x - (3*(-1 + x))/(-3 + 5*Log[(x*(16 - E^8*x + 8*x^2 + 2*E^4*x^2 - x^3 + x^4))/(4 + x^2)^2]))","A",1
6648,1,15,20,0.012055,"\int \frac{1}{3} \left(3+6 x+e^{x^2} \left(1+2 x^2\right)\right) \, dx","Integrate[(3 + 6*x + E^x^2*(1 + 2*x^2))/3,x]","x^2+\frac{e^{x^2} x}{3}+x","\frac{1}{3} \left(x \left(e^{x^2}+3 x+3\right)+8+\log (5)\right)",1,"x + (E^x^2*x)/3 + x^2","A",1
6649,1,21,23,0.0029653,"\int \frac{e^6 (-2+3 x)}{-4 x+4 x^2} \, dx","Integrate[(E^6*(-2 + 3*x))/(-4*x + 4*x^2),x]","e^6 \left(\frac{1}{4} \log (1-x)+\frac{\log (x)}{2}\right)","\frac{1}{4} e^6 \log \left(\frac{3}{10} e^2 x \left(x^2-x\right)\right)",1,"E^6*(Log[1 - x]/4 + Log[x]/2)","A",1
6650,1,35,28,0.0659077,"\int \frac{-8 x^4+e^{\frac{2 (-3+2 x)}{x}} \left(3750+3125 x+600 x^2+100 x^3\right)}{x^3} \, dx","Integrate[(-8*x^4 + E^((2*(-3 + 2*x))/x)*(3750 + 3125*x + 600*x^2 + 100*x^3))/x^3,x]","25 e^{-6/x} \left(4 e^4 x+\frac{25 e^4}{x}+25 e^4\right)-4 x^2","-4 x^2+25 e^{4-\frac{6}{x}} \left(\frac{5}{x}+4\right) (x+5)+5",1,"-4*x^2 + (25*(25*E^4 + (25*E^4)/x + 4*E^4*x))/E^(6/x)","A",1
6651,1,19,19,0.0085033,"\int \frac{4+8 x^2-2 x^3-24 x^6+6 x^7}{-4 x+x^2} \, dx","Integrate[(4 + 8*x^2 - 2*x^3 - 24*x^6 + 6*x^7)/(-4*x + x^2),x]","x^6-x^2+\log (4-x)-\log (x)","x^6+\log \left(\frac{e^{-x^2} (x-4)}{x}\right)",1,"-x^2 + x^6 + Log[4 - x] - Log[x]","A",1
6652,1,20,22,5.024614,"\int \frac{-20+\left(10 x-35 x^2+30 x^3\right) \log \left(\frac{2-3 x}{2 x}\right)}{\left(-2 x+3 x^2\right) \log \left(\frac{2-3 x}{2 x}\right)} \, dx","Integrate[(-20 + (10*x - 35*x^2 + 30*x^3)*Log[(2 - 3*x)/(2*x)])/((-2*x + 3*x^2)*Log[(2 - 3*x)/(2*x)]),x]","5 \left(x^2-x-2 \log \left(\log \left(\frac{1}{x}-\frac{3}{2}\right)\right)\right)","x \left(5 \left(x-\frac{2 \log \left(\log \left(\frac{1}{x}-\frac{3}{2}\right)\right)}{x}\right)-5\right)",1,"5*(-x + x^2 - 2*Log[Log[-3/2 + x^(-1)]])","A",1
6653,1,24,27,0.0226456,"\int \frac{e^9+5 x^2+e^x x^3+x^2 \log \left(\frac{e^{e^x}}{5}\right)}{x^2} \, dx","Integrate[(E^9 + 5*x^2 + E^x*x^3 + x^2*Log[E^E^x/5])/x^2,x]","5 x-\frac{e^9}{x}+x \log \left(\frac{e^{e^x}}{5}\right)","x \left(-\frac{e^9 (1-x)}{x^2}+\log \left(\frac{e^{e^x}}{5}\right)+5\right)",1,"-(E^9/x) + 5*x + x*Log[E^E^x/5]","A",1
6654,1,19,23,0.2245437,"\int \frac{10+5 x+(4+2 x) \log (x)+(-2-x) \log ^2(x)+\left(-10-10 x+(2+2 x) \log ^2(x)\right) \log \left(\frac{5 e^{25}-e^{25} \log ^2(x)}{x}\right)}{-5+\log ^2(x)} \, dx","Integrate[(10 + 5*x + (4 + 2*x)*Log[x] + (-2 - x)*Log[x]^2 + (-10 - 10*x + (2 + 2*x)*Log[x]^2)*Log[(5*E^25 - E^25*Log[x]^2)/x])/(-5 + Log[x]^2),x]","x (x+2) \left(\log \left(-\frac{\log ^2(x)-5}{x}\right)+25\right)","x (x+2) \log \left(\frac{e^{25} \left(5-\log ^2(x)\right)}{x}\right)-5",1,"x*(2 + x)*(25 + Log[-((-5 + Log[x]^2)/x)])","A",1
6655,1,5,16,0.0000686,"\int -2 x \, dx","Integrate[-2*x,x]","-x^2","(-x-2) (x-2)-\frac{1}{e^4}+2",1,"-x^2","A",1
6656,1,46,35,1.6522396,"\int \frac{50 x^4+10 x^5-10 x^6+e^x \left(-50 x^2-10 x^3+10 x^4\right)+\left(100 x^3+10 x^4-20 x^5+e^x \left(-100 x-10 x^2+20 x^3\right)\right) \log (x)+\left(50 x^2-10 x^4+e^x \left(-50+10 x^2\right)\right) \log ^2(x)+\left(-51 x^4-9 x^5+8 x^6+e^x \left(x^2+24 x^3+7 x^4-5 x^5\right)+\left(-100 x^3-8 x^4+16 x^5+e^x \left(48 x^2+9 x^3-10 x^4\right)\right) \log (x)+\left(-50 x^2+8 x^4+e^x \left(25 x+2 x^2-5 x^3\right)\right) \log ^2(x)\right) \log \left(x^2\right)+\left(10 x^4+2 x^5-2 x^6+e^x \left(-10 x^2-2 x^3+2 x^4\right)+\left(20 x^3+2 x^4-4 x^5+e^x \left(-20 x-2 x^2+4 x^3\right)\right) \log (x)+\left(10 x^2-2 x^4+e^x \left(-10+2 x^2\right)\right) \log ^2(x)+\left(-10 x^4-2 x^5+2 x^6+e^x \left(5 x^3+x^4-x^5\right)+\left(-20 x^3-2 x^4+4 x^5+e^x \left(10 x^2+x^3-2 x^4\right)\right) \log (x)+\left(-10 x^2+2 x^4+e^x \left(5 x-x^3\right)\right) \log ^2(x)\right) \log \left(x^2\right)\right) \log \left(\frac{5 x+x^2-x^3+\left(5-x^2\right) \log (x)}{x+\log (x)}\right)}{-5 x^7-x^8+x^9+e^{2 x} \left(-5 x^3-x^4+x^5\right)+e^x \left(10 x^5+2 x^6-2 x^7\right)+\left(-10 x^6-x^7+2 x^8+e^{2 x} \left(-10 x^2-x^3+2 x^4\right)+e^x \left(20 x^4+2 x^5-4 x^6\right)\right) \log (x)+\left(-5 x^5+x^7+e^{2 x} \left(-5 x+x^3\right)+e^x \left(10 x^3-2 x^5\right)\right) \log ^2(x)} \, dx","Integrate[(50*x^4 + 10*x^5 - 10*x^6 + E^x*(-50*x^2 - 10*x^3 + 10*x^4) + (100*x^3 + 10*x^4 - 20*x^5 + E^x*(-100*x - 10*x^2 + 20*x^3))*Log[x] + (50*x^2 - 10*x^4 + E^x*(-50 + 10*x^2))*Log[x]^2 + (-51*x^4 - 9*x^5 + 8*x^6 + E^x*(x^2 + 24*x^3 + 7*x^4 - 5*x^5) + (-100*x^3 - 8*x^4 + 16*x^5 + E^x*(48*x^2 + 9*x^3 - 10*x^4))*Log[x] + (-50*x^2 + 8*x^4 + E^x*(25*x + 2*x^2 - 5*x^3))*Log[x]^2)*Log[x^2] + (10*x^4 + 2*x^5 - 2*x^6 + E^x*(-10*x^2 - 2*x^3 + 2*x^4) + (20*x^3 + 2*x^4 - 4*x^5 + E^x*(-20*x - 2*x^2 + 4*x^3))*Log[x] + (10*x^2 - 2*x^4 + E^x*(-10 + 2*x^2))*Log[x]^2 + (-10*x^4 - 2*x^5 + 2*x^6 + E^x*(5*x^3 + x^4 - x^5) + (-20*x^3 - 2*x^4 + 4*x^5 + E^x*(10*x^2 + x^3 - 2*x^4))*Log[x] + (-10*x^2 + 2*x^4 + E^x*(5*x - x^3))*Log[x]^2)*Log[x^2])*Log[(5*x + x^2 - x^3 + (5 - x^2)*Log[x])/(x + Log[x])])/(-5*x^7 - x^8 + x^9 + E^(2*x)*(-5*x^3 - x^4 + x^5) + E^x*(10*x^5 + 2*x^6 - 2*x^7) + (-10*x^6 - x^7 + 2*x^8 + E^(2*x)*(-10*x^2 - x^3 + 2*x^4) + E^x*(20*x^4 + 2*x^5 - 4*x^6))*Log[x] + (-5*x^5 + x^7 + E^(2*x)*(-5*x + x^3) + E^x*(10*x^3 - 2*x^5))*Log[x]^2),x]","\frac{\log \left(x^2\right) \left(\log \left(\frac{x \left(-x^2+x+5\right)-\left(x^2-5\right) \log (x)}{x+\log (x)}\right)+5\right)}{e^x-x^2}","\frac{\log \left(x^2\right) \left(\log \left(x \left(\frac{x}{x+\log (x)}-x\right)+5\right)+5\right)}{e^x-x^2}",1,"(Log[x^2]*(5 + Log[(x*(5 + x - x^2) - (-5 + x^2)*Log[x])/(x + Log[x])]))/(E^x - x^2)","A",1
6657,1,28,28,0.0735355,"\int \frac{-27+3 e^{256}-36 x^3+\left(27-3 e^{256}+9 x-18 x^3\right) \log (x)+\left(-27+3 e^{256}-9 x+18 x^3\right) \log \left(\frac{1}{3} \left(-9+e^{256}-3 x+6 x^3\right)\right)}{\left(-9+e^{256}-3 x+6 x^3\right) \log ^2(x)+\left(18-2 e^{256}+6 x-12 x^3\right) \log (x) \log \left(\frac{1}{3} \left(-9+e^{256}-3 x+6 x^3\right)\right)+\left(-9+e^{256}-3 x+6 x^3\right) \log ^2\left(\frac{1}{3} \left(-9+e^{256}-3 x+6 x^3\right)\right)} \, dx","Integrate[(-27 + 3*E^256 - 36*x^3 + (27 - 3*E^256 + 9*x - 18*x^3)*Log[x] + (-27 + 3*E^256 - 9*x + 18*x^3)*Log[(-9 + E^256 - 3*x + 6*x^3)/3])/((-9 + E^256 - 3*x + 6*x^3)*Log[x]^2 + (18 - 2*E^256 + 6*x - 12*x^3)*Log[x]*Log[(-9 + E^256 - 3*x + 6*x^3)/3] + (-9 + E^256 - 3*x + 6*x^3)*Log[(-9 + E^256 - 3*x + 6*x^3)/3]^2),x]","\frac{3 x}{\log \left(6 x^3-3 x+e^{256}-9\right)-\log (x)-\log (3)}","\frac{3 x}{\log \left(2 x^3-x+\frac{e^{256}}{3}-3\right)-\log (x)}",1,"(3*x)/(-Log[3] - Log[x] + Log[-9 + E^256 - 3*x + 6*x^3])","A",1
6658,1,57,29,0.1725339,"\int \frac{-200 e^{3 x}+e^{2 x} (200-200 x)+\left(-20 e^x x^3+20 e^{2 x} x^3\right) \log \left(\frac{5}{\log (625)}\right)+\left(-2 x^4+6 e^x x^4-6 e^{2 x} x^4+2 e^{3 x} x^4\right) \log ^2\left(\frac{5}{\log (625)}\right)}{\left(-x^3+3 e^x x^3-3 e^{2 x} x^3+e^{3 x} x^3\right) \log ^2\left(\frac{5}{\log (625)}\right)} \, dx","Integrate[(-200*E^(3*x) + E^(2*x)*(200 - 200*x) + (-20*E^x*x^3 + 20*E^(2*x)*x^3)*Log[5/Log[625]] + (-2*x^4 + 6*E^x*x^4 - 6*E^(2*x)*x^4 + 2*E^(3*x)*x^4)*Log[5/Log[625]]^2)/((-x^3 + 3*E^x*x^3 - 3*E^(2*x)*x^3 + E^(3*x)*x^3)*Log[5/Log[625]]^2),x]","\frac{\frac{100 e^{2 x}}{\left(e^x-1\right)^2 x^2}+\log \left(\frac{5}{\log (625)}\right) \left(x^2 \log \left(\frac{5}{\log (625)}\right)-\frac{20}{e^x-1}\right)}{\log ^2\left(\frac{5}{\log (625)}\right)}","\left(\frac{10}{\left(x-e^{-x} x\right) \log \left(\frac{5}{\log (625)}\right)}-x\right)^2",1,"((100*E^(2*x))/((-1 + E^x)^2*x^2) + Log[5/Log[625]]*(-20/(-1 + E^x) + x^2*Log[5/Log[625]]))/Log[5/Log[625]]^2","A",1
6659,1,23,30,0.1346062,"\int \frac{-20+40 x-29 x^2+2 x^3-x^4+e^{x^2} \left(2 x^3-4 x^4+2 x^5\right)}{x^2-2 x^3+x^4} \, dx","Integrate[(-20 + 40*x - 29*x^2 + 2*x^3 - x^4 + E^x^2*(2*x^3 - 4*x^4 + 2*x^5))/(x^2 - 2*x^3 + x^4),x]","e^{x^2}-x-\frac{8}{1-x}+\frac{20}{x}","e^{x^2}+5 \left(\frac{4}{x}-3\right)-\frac{(9-x) x}{1-x}",1,"E^x^2 - 8/(1 - x) + 20/x - x","A",1
6660,1,36,32,0.1316758,"\int \frac{\exp \left(\frac{-6544 x^5+6560 x^6-80 x^7+\left(4-405 x+5 x^2\right) \log ^2(2)}{80 x^5-80 x^6+5 x \log ^2(2)}\right) \left(256 x^{10}-2560 x^{11}+1280 x^{12}+\left(-320 x^4+128 x^5+160 x^6-160 x^7\right) \log ^2(2)+\left(-4+5 x^2\right) \log ^4(2)\right)}{1280 x^{10}-2560 x^{11}+1280 x^{12}+\left(160 x^6-160 x^7\right) \log ^2(2)+5 x^2 \log ^4(2)} \, dx","Integrate[(E^((-6544*x^5 + 6560*x^6 - 80*x^7 + (4 - 405*x + 5*x^2)*Log[2]^2)/(80*x^5 - 80*x^6 + 5*x*Log[2]^2))*(256*x^10 - 2560*x^11 + 1280*x^12 + (-320*x^4 + 128*x^5 + 160*x^6 - 160*x^7)*Log[2]^2 + (-4 + 5*x^2)*Log[2]^4))/(1280*x^10 - 2560*x^11 + 1280*x^12 + (160*x^6 - 160*x^7)*Log[2]^2 + 5*x^2*Log[2]^4),x]","\exp \left(-\frac{64 x^3}{-80 x^5+80 x^4+5 \log ^2(2)}+x+\frac{4}{5 x}-81\right)","e^{-\frac{4}{5 \left(\frac{x}{x-\frac{\log ^2(2)}{16 x^4}}-x\right)}+x-81}",1,"E^(-81 + 4/(5*x) + x - (64*x^3)/(80*x^4 - 80*x^5 + 5*Log[2]^2))","A",1
6661,1,20,23,0.0188647,"\int \frac{15+10 x-5 x^2+30 e^{x^6} x^7}{x^2} \, dx","Integrate[(15 + 10*x - 5*x^2 + 30*E^x^6*x^7)/x^2,x]","5 \left(e^{x^6}-x-\frac{3}{x}+2 \log (x)\right)","5 \left(e^{x^6}+\log \left(x^2\right)-x-\frac{3}{x}-5\right)-2",1,"5*(E^x^6 - 3/x - x + 2*Log[x])","A",1
6662,1,26,29,0.2687391,"\int \frac{-13+e^{4-x^2} \left(2+4 x^2\right)+e^{3+x} \left(x^2+x^3\right)}{x^2} \, dx","Integrate[(-13 + E^(4 - x^2)*(2 + 4*x^2) + E^(3 + x)*(x^2 + x^3))/x^2,x]","\frac{e^{x+3} x^2-2 e^{4-x^2}+13}{x}","\frac{2 \left(5-e^{4-x^2}\right)+3}{x}+e^{x+3} x",1,"(13 - 2*E^(4 - x^2) + E^(3 + x)*x^2)/x","A",1
6663,1,22,22,0.1015142,"\int \frac{1}{8} \left(16 x+e^{\frac{1}{8} \left(24 x+16 x^2-x^5\right)} \left(24+32 x-5 x^4\right)\right) \, dx","Integrate[(16*x + E^((24*x + 16*x^2 - x^5)/8)*(24 + 32*x - 5*x^4))/8,x]","x^2+e^{-\frac{x^5}{8}+2 x^2+3 x}","e^{2 \left(x-\frac{x^4}{16}\right) x+3 x}+x^2",1,"E^(3*x + 2*x^2 - x^5/8) + x^2","A",1
6664,1,29,28,0.0978017,"\int \frac{2+x+\left(128 e^{2 x^2}-64 e^{x^2} x+8 x^2\right) \log \left(x^2\right)+\left(4 x^2+128 e^{2 x^2} x^2+e^{x^2} \left(-16 x-32 x^3\right)\right) \log ^2\left(x^2\right)}{2 x} \, dx","Integrate[(2 + x + (128*E^(2*x^2) - 64*E^x^2*x + 8*x^2)*Log[x^2] + (4*x^2 + 128*E^(2*x^2)*x^2 + E^x^2*(-16*x - 32*x^3))*Log[x^2]^2)/(2*x),x]","\frac{1}{2} \left(2 \left(x-4 e^{x^2}\right)^2 \log ^2\left(x^2\right)+x+2 \log (x)\right)","\left(4 e^{x^2}-x\right)^2 \log ^2\left(x^2\right)+\frac{x}{2}+\log (x)",1,"(x + 2*Log[x] + 2*(-4*E^x^2 + x)^2*Log[x^2]^2)/2","A",1
6665,1,13,13,0.0070901,"\int \frac{5}{32-64 x+32 x^2+(32-32 x) \log (16)+8 \log ^2(16)} \, dx","Integrate[5/(32 - 64*x + 32*x^2 + (32 - 32*x)*Log[16] + 8*Log[16]^2),x]","\frac{5}{8 (-4 x+4+\log (256))}","\frac{5}{16 (-2 x+2+\log (16))}",1,"5/(8*(4 - 4*x + Log[256]))","A",1
6666,1,31,26,4.2830359,"\int \frac{e^{\sqrt[4]{e}} (-4+x)-4 x-2 x^2+3 x^3}{4 x^2+8 x^3+4 x^4+e^{\sqrt[4]{e}} \left(4 x+4 x^2\right)+\left(e^{\sqrt[4]{e}} x^2+x^3+x^4\right) \log \left(\frac{1}{2} \left(e^{\sqrt[4]{e}} x+x^2+x^3\right)\right)} \, dx","Integrate[(E^E^(1/4)*(-4 + x) - 4*x - 2*x^2 + 3*x^3)/(4*x^2 + 8*x^3 + 4*x^4 + E^E^(1/4)*(4*x + 4*x^2) + (E^E^(1/4)*x^2 + x^3 + x^4)*Log[(E^E^(1/4)*x + x^2 + x^3)/2]),x]","\log \left(x \log \left(\frac{1}{2} x \left(x^2+x+e^{\sqrt[4]{e}}\right)\right)+4 x+4\right)-\log (x)","\log \left(\log \left(\frac{1}{2} x \left(x^2+x+e^{\sqrt[4]{e}}\right)\right)+\frac{4}{x}+4\right)",1,"-Log[x] + Log[4 + 4*x + x*Log[(x*(E^E^(1/4) + x + x^2))/2]]","A",1
6667,1,37,29,0.2409285,"\int \frac{-144 x^2-240 x^3-100 x^4+\left(192 x^2+460 x^3+250 x^4\right) \log (x)+\left(72 x^2+80 x^3\right) \log ^2(x)+\left(12 x+6 x^2\right) \log ^3(x)}{\log ^3(x)} \, dx","Integrate[(-144*x^2 - 240*x^3 - 100*x^4 + (192*x^2 + 460*x^3 + 250*x^4)*Log[x] + (72*x^2 + 80*x^3)*Log[x]^2 + (12*x + 6*x^2)*Log[x]^3)/Log[x]^3,x]","\frac{2 x^2 \left(x (5 x+6)^2+(x+3) \log ^2(x)+2 x (5 x+6) \log (x)\right)}{\log ^2(x)}","2 x^2 \left(x \left(\frac{2 x}{\log (x)}+\frac{3 (x+2)}{\log (x)}+1\right)^2+3\right)",1,"(2*x^2*(x*(6 + 5*x)^2 + 2*x*(6 + 5*x)*Log[x] + (3 + x)*Log[x]^2))/Log[x]^2","A",1
6668,1,11,14,0.0063983,"\int \frac{1}{4} \left(4+5 e^{-5 x/4}\right) \, dx","Integrate[(4 + 5/E^((5*x)/4))/4,x]","x-e^{-5 x/4}","x-e^{-5 x/4}+\frac{1}{e^3}",1,"-E^((-5*x)/4) + x","A",1
6669,1,17,20,0.0263607,"\int \frac{-4+e^x x \log ^5(x)-2 e^{2 e^x+x} x \log ^5(x)}{x \log ^5(x)} \, dx","Integrate[(-4 + E^x*x*Log[x]^5 - 2*E^(2*E^x + x)*x*Log[x]^5)/(x*Log[x]^5),x]","-e^{2 e^x}+e^x+\frac{1}{\log ^4(x)}","-e^{2 e^x}+e^x+\frac{1}{\log ^4(x)}+e^3",1,"-E^(2*E^x) + E^x + Log[x]^(-4)","A",1
6670,1,15,20,0.1073861,"\int \frac{-1+\log \left(x^2\right)}{x-2 x^2+x \log \left(x^2\right)} \, dx","Integrate[(-1 + Log[x^2])/(x - 2*x^2 + x*Log[x^2]),x]","\log (x)-\log \left(\log \left(x^2\right)-2 x+1\right)","-\log \left(-\log \left(x^2\right)+2 x-1\right)+\log (x)-\frac{5}{3}",1,"Log[x] - Log[1 - 2*x + Log[x^2]]","A",1
6671,1,23,23,0.2131998,"\int \frac{e^{\frac{-30000 \log ^4\left(\frac{x}{5}\right)+x^5 \log ^4(x)}{2500 \log ^4\left(\frac{x}{5}\right)}} \left(4 x^4 \log \left(\frac{x}{5}\right) \log ^3(x)+\left(-4 x^4+5 x^4 \log \left(\frac{x}{5}\right)\right) \log ^4(x)\right)}{2500 \log ^5\left(\frac{x}{5}\right)} \, dx","Integrate[(E^((-30000*Log[x/5]^4 + x^5*Log[x]^4)/(2500*Log[x/5]^4))*(4*x^4*Log[x/5]*Log[x]^3 + (-4*x^4 + 5*x^4*Log[x/5])*Log[x]^4))/(2500*Log[x/5]^5),x]","e^{\frac{x^5 \log ^4(x)}{2500 \log ^4\left(\frac{x}{5}\right)}-12}","e^{\frac{x^5 \log ^4(x)}{2500 \log ^4\left(\frac{x}{5}\right)}-12}",1,"E^(-12 + (x^5*Log[x]^4)/(2500*Log[x/5]^4))","A",1
6672,1,23,24,0.023149,"\int \frac{e^{-1+2 x}+2 e^{-2+4 x} x+\left(1+2 e^{-1+2 x} x\right) \log \left(\frac{3 x}{2}\right)}{x} \, dx","Integrate[(E^(-1 + 2*x) + 2*E^(-2 + 4*x)*x + (1 + 2*E^(-1 + 2*x)*x)*Log[(3*x)/2])/x,x]","\frac{\left(e^{2 x}+e \log \left(\frac{3 x}{2}\right)\right)^2}{2 e^2}","\frac{1}{2} \left(\left(e^{2 x-1}+\log \left(\frac{3 x}{2}\right)\right)^2-2\right)-5",1,"(E^(2*x) + E*Log[(3*x)/2])^2/(2*E^2)","A",1
6673,1,64,25,0.1459999,"\int \frac{-3 x^2+8 x^3+e^{\frac{6 e^{25}}{x^2}} \left(-12 e^{25} x+2 x^3\right)+\left(2 x-4 x^2\right) \log (4)+e^{\frac{3 e^{25}}{x^2}} \left(-24 e^{25} x-2 x^2+8 x^3+\left(12 e^{25}-2 x^2\right) \log (4)\right)+\left(2 x-4 x^2+e^{\frac{3 e^{25}}{x^2}} \left(12 e^{25}-2 x^2\right)\right) \log (x)}{x^2} \, dx","Integrate[(-3*x^2 + 8*x^3 + E^((6*E^25)/x^2)*(-12*E^25*x + 2*x^3) + (2*x - 4*x^2)*Log[4] + E^((3*E^25)/x^2)*(-24*E^25*x - 2*x^2 + 8*x^3 + (12*E^25 - 2*x^2)*Log[4]) + (2*x - 4*x^2 + E^((3*E^25)/x^2)*(12*E^25 - 2*x^2))*Log[x])/x^2,x]","\left(\log (16)-2 \left(e^{\frac{3 e^{25}}{x^2}}+2\right) x\right) \log (x)+x \left(x \left(e^{\frac{3 e^{25}}{x^2}}+2\right)^2-2 e^{\frac{3 e^{25}}{x^2}} \log (4)+1-4 \log (4)\right)+\log ^2(x)","\left(-e^{\frac{3 e^{25}}{x^2}} x-2 x+\log (x)+\log (4)\right)^2+x",1,"x*(1 + (2 + E^((3*E^25)/x^2))^2*x - 4*Log[4] - 2*E^((3*E^25)/x^2)*Log[4]) + (-2*(2 + E^((3*E^25)/x^2))*x + Log[16])*Log[x] + Log[x]^2","B",1
6674,1,41,30,0.1717033,"\int \frac{-9+80 e^{4 x}+16 e^{5 x}+e^{2 x} (152-4 x)+e^{3 x} (156+8 x)+e^x \left(49-16 x+x^2\right)+\left(280 e^{3 x}+80 e^{4 x}+e^x (170-10 x)+e^{2 x} (340+20 x)\right) \log (x)+\left(15+300 e^{2 x}+140 e^{3 x}+e^x (170+10 x)\right) \log ^2(x)+\left(100 e^x+100 e^{2 x}\right) \log ^3(x)+25 e^x \log ^4(x)}{49+80 e^{3 x}+16 e^{4 x}+14 x+x^2+e^{2 x} (156+8 x)+e^x (140+20 x)+\left(140+280 e^{2 x}+80 e^{3 x}+20 x+e^x (340+20 x)\right) \log (x)+\left(170+300 e^x+140 e^{2 x}+10 x\right) \log ^2(x)+\left(100+100 e^x\right) \log ^3(x)+25 \log ^4(x)} \, dx","Integrate[(-9 + 80*E^(4*x) + 16*E^(5*x) + E^(2*x)*(152 - 4*x) + E^(3*x)*(156 + 8*x) + E^x*(49 - 16*x + x^2) + (280*E^(3*x) + 80*E^(4*x) + E^x*(170 - 10*x) + E^(2*x)*(340 + 20*x))*Log[x] + (15 + 300*E^(2*x) + 140*E^(3*x) + E^x*(170 + 10*x))*Log[x]^2 + (100*E^x + 100*E^(2*x))*Log[x]^3 + 25*E^x*Log[x]^4)/(49 + 80*E^(3*x) + 16*E^(4*x) + 14*x + x^2 + E^(2*x)*(156 + 8*x) + E^x*(140 + 20*x) + (140 + 280*E^(2*x) + 80*E^(3*x) + 20*x + E^x*(340 + 20*x))*Log[x] + (170 + 300*E^x + 140*E^(2*x) + 10*x)*Log[x]^2 + (100 + 100*E^x)*Log[x]^3 + 25*Log[x]^4),x]","e^x+\frac{3 x}{10 e^x+4 e^{2 x}+x+5 \log ^2(x)+10 e^x \log (x)+10 \log (x)+7}","e^x-\frac{3 x}{e^{2 x}-x-5 \left(e^x+\log (x)+1\right)^2-2}",1,"E^x + (3*x)/(7 + 10*E^x + 4*E^(2*x) + x + 10*Log[x] + 10*E^x*Log[x] + 5*Log[x]^2)","A",1
6675,1,31,32,0.3817652,"\int \frac{-2+e^x (1+(-2-x) \log (5))+\left(-2 x+e^x x \log (5)\right) \log (x)+\left(2+e^x (-1+(2+x) \log (5))\right) \log (x) \log \left(\frac{e^x \log (5) \log (x)}{2+e^x (-1+(2+x) \log (5))}\right)}{\left(2 x^2+e^x \left(-x^2+\left(2 x^2+x^3\right) \log (5)\right)\right) \log (x)+\left(4 x+e^x \left(-2 x+\left(4 x+2 x^2\right) \log (5)\right)\right) \log (x) \log \left(\frac{e^x \log (5) \log (x)}{2+e^x (-1+(2+x) \log (5))}\right)+\left(2+e^x (-1+(2+x) \log (5))\right) \log (x) \log ^2\left(\frac{e^x \log (5) \log (x)}{2+e^x (-1+(2+x) \log (5))}\right)} \, dx","Integrate[(-2 + E^x*(1 + (-2 - x)*Log[5]) + (-2*x + E^x*x*Log[5])*Log[x] + (2 + E^x*(-1 + (2 + x)*Log[5]))*Log[x]*Log[(E^x*Log[5]*Log[x])/(2 + E^x*(-1 + (2 + x)*Log[5]))])/((2*x^2 + E^x*(-x^2 + (2*x^2 + x^3)*Log[5]))*Log[x] + (4*x + E^x*(-2*x + (4*x + 2*x^2)*Log[5]))*Log[x]*Log[(E^x*Log[5]*Log[x])/(2 + E^x*(-1 + (2 + x)*Log[5]))] + (2 + E^x*(-1 + (2 + x)*Log[5]))*Log[x]*Log[(E^x*Log[5]*Log[x])/(2 + E^x*(-1 + (2 + x)*Log[5]))]^2),x]","\frac{x}{x+\log \left(\frac{e^x \log (5) \log (x)}{e^x ((x+2) \log (5)-1)+2}\right)}","\frac{x}{x+\log \left(\frac{\log (x)}{x-\frac{1-2 e^{-x}}{\log (5)}+2}\right)}+2",1,"x/(x + Log[(E^x*Log[5]*Log[x])/(2 + E^x*(-1 + (2 + x)*Log[5]))])","A",1
6676,1,25,23,0.0015993,"\int \frac{1}{128} \left(128+81 x-54 x^2+8 x^3\right) \, dx","Integrate[(128 + 81*x - 54*x^2 + 8*x^3)/128,x]","\frac{1}{128} \left(2 x^4-18 x^3+\frac{81 x^2}{2}+128 x\right)","\frac{1}{64} \left(x-\frac{9}{2}\right)^2 x^2+x-(e-2)^2",1,"(128*x + (81*x^2)/2 - 18*x^3 + 2*x^4)/128","A",1
6677,1,7,19,0.0012656,"\int \frac{x+\log (3)}{x} \, dx","Integrate[(x + Log[3])/x,x]","x+\log (3) \log (x)","x-\log (3) \left(-\log (x)+\left(2+e^5\right)^2+2\right)",1,"x + Log[3]*Log[x]","A",1
6678,1,14,24,0.0058204,"\int \frac{e^{\frac{20+x}{x}} (-40-2 x)}{x^3} \, dx","Integrate[(E^((20 + x)/x)*(-40 - 2*x))/x^3,x]","\frac{2 e^{\frac{20}{x}+1}}{x}","\frac{2 \left(\left(3-e^{32}\right) x+e^{\frac{x+20}{x}}\right)}{x}",1,"(2*E^(1 + 20/x))/x","A",1
6679,1,19,25,0.0144563,"\int \frac{-5+e^{e^3} (-2+2 x)}{1-5 x+e^{e^3} \left(1-2 x+x^2\right)} \, dx","Integrate[(-5 + E^E^3*(-2 + 2*x))/(1 - 5*x + E^E^3*(1 - 2*x + x^2)),x]","\log \left(e^{e^3} (x-1)^2-5 (x-1)-4\right)","\log \left(-x^2+2 x-e^{-e^3} (1-5 x)-1\right)",1,"Log[-4 - 5*(-1 + x) + E^E^3*(-1 + x)^2]","A",1
6680,1,29,29,1.3485868,"\int e^{-7+x^2-25^{\frac{4 x}{e^2}} \left(x^2\right)^{\frac{4 x}{e^2}}} \left(e^2 \left(1+2 x^2\right)+25^{\frac{4 x}{e^2}} \left(x^2\right)^{\frac{4 x}{e^2}} \left(-8 x-4 x \log \left(25 x^2\right)\right)\right) \, dx","Integrate[E^(-7 + x^2 - 25^((4*x)/E^2)*(x^2)^((4*x)/E^2))*(E^2*(1 + 2*x^2) + 25^((4*x)/E^2)*(x^2)^((4*x)/E^2)*(-8*x - 4*x*Log[25*x^2])),x]","e^{-25^{\frac{4 x}{e^2}} \left(x^2\right)^{\frac{4 x}{e^2}}+x^2-5} x","e^{-25^{\frac{4 x}{e^2}} \left(x^2\right)^{\frac{4 x}{e^2}}+x^2-5} x",1,"E^(-5 + x^2 - 25^((4*x)/E^2)*(x^2)^((4*x)/E^2))*x","A",1
6681,1,25,18,0.0170997,"\int \frac{480-180 x+5 x^2+e^{5+x} x^4}{e^5 x^4} \, dx","Integrate[(480 - 180*x + 5*x^2 + E^(5 + x)*x^4)/(E^5*x^4),x]","\frac{-\frac{160}{x^3}+\frac{90}{x^2}+e^{x+5}-\frac{5}{x}}{e^5}","e^x-\frac{5 (x-16) (x-2)}{e^5 x^3}",1,"(E^(5 + x) - 160/x^3 + 90/x^2 - 5/x)/E^5","A",1
6682,1,15,22,0.1320505,"\int \frac{-256+e^x (-8-64 x)+e^{2 x} (18+16 x)}{4913+6936 x+3264 x^2+512 x^3} \, dx","Integrate[(-256 + E^x*(-8 - 64*x) + E^(2*x)*(18 + 16*x))/(4913 + 6936*x + 3264*x^2 + 512*x^3),x]","\frac{\left(e^x-4\right)^2}{(8 x+17)^2}","\frac{\left(e^x-4\right)^2}{\left(-x^2+(x+4)^2+1\right)^2}",1,"(-4 + E^x)^2/(17 + 8*x)^2","A",1
6683,1,25,26,0.0376992,"\int \frac{-3240+8424 x-1296 x^2+(1620-324 x) \log \left(\frac{3}{625 x^2-500 x^3+150 x^4-20 x^5+x^6}\right)}{-3125+625 x-4500 x^2+900 x^3-1620 x^4+324 x^5+\left(-2250 x+450 x^2-1620 x^3+324 x^4\right) \log \left(\frac{3}{625 x^2-500 x^3+150 x^4-20 x^5+x^6}\right)+\left(-405 x^2+81 x^3\right) \log ^2\left(\frac{3}{625 x^2-500 x^3+150 x^4-20 x^5+x^6}\right)} \, dx","Integrate[(-3240 + 8424*x - 1296*x^2 + (1620 - 324*x)*Log[3/(625*x^2 - 500*x^3 + 150*x^4 - 20*x^5 + x^6)])/(-3125 + 625*x - 4500*x^2 + 900*x^3 - 1620*x^4 + 324*x^5 + (-2250*x + 450*x^2 - 1620*x^3 + 324*x^4)*Log[3/(625*x^2 - 500*x^3 + 150*x^4 - 20*x^5 + x^6)] + (-405*x^2 + 81*x^3)*Log[3/(625*x^2 - 500*x^3 + 150*x^4 - 20*x^5 + x^6)]^2),x]","\frac{36}{18 x^2+9 x \log \left(\frac{3}{(x-5)^4 x^2}\right)+25}","\frac{4}{2 x^2+x \log \left(\frac{3}{(x-5)^4 x^2}\right)+\frac{25}{9}}",1,"36/(25 + 18*x^2 + 9*x*Log[3/((-5 + x)^4*x^2)])","A",1
6684,1,51,31,0.1887529,"\int \frac{\left(-6-60 x+24 x^2+e^x \left(-12 x-12 x^2\right)\right) \log ^2(x)+\left(\left(2+20 x-8 x^2+e^x \left(4 x+4 x^2\right)\right) \log (x)+\left(\left(60 x+12 e^x x-12 x^2\right) \log (x)+6 \log ^2(x)\right) \log \left(10 x+2 e^x x-2 x^2+\log (x)\right)\right) \log \left(\log \left(10 x+2 e^x x-2 x^2+\log (x)\right)\right)+\left(-20 x-4 e^x x+4 x^2-2 \log (x)\right) \log \left(10 x+2 e^x x-2 x^2+\log (x)\right) \log ^2\left(\log \left(10 x+2 e^x x-2 x^2+\log (x)\right)\right)}{\left(\left(10 x^2+2 e^x x^2-2 x^3\right) \log ^3(x)+x \log ^4(x)\right) \log \left(10 x+2 e^x x-2 x^2+\log (x)\right)} \, dx","Integrate[((-6 - 60*x + 24*x^2 + E^x*(-12*x - 12*x^2))*Log[x]^2 + ((2 + 20*x - 8*x^2 + E^x*(4*x + 4*x^2))*Log[x] + ((60*x + 12*E^x*x - 12*x^2)*Log[x] + 6*Log[x]^2)*Log[10*x + 2*E^x*x - 2*x^2 + Log[x]])*Log[Log[10*x + 2*E^x*x - 2*x^2 + Log[x]]] + (-20*x - 4*E^x*x + 4*x^2 - 2*Log[x])*Log[10*x + 2*E^x*x - 2*x^2 + Log[x]]*Log[Log[10*x + 2*E^x*x - 2*x^2 + Log[x]]]^2)/(((10*x^2 + 2*E^x*x^2 - 2*x^3)*Log[x]^3 + x*Log[x]^4)*Log[10*x + 2*E^x*x - 2*x^2 + Log[x]]),x]","2 \left(\frac{\log ^2\left(\log \left(\log (x)-2 x \left(x-e^x-5\right)\right)\right)}{2 \log ^2(x)}-\frac{3 \log \left(\log \left(\log (x)-2 x \left(x-e^x-5\right)\right)\right)}{\log (x)}\right)","\left(3-\frac{\log \left(\log \left(\left(2 \left(-x+e^x+3\right)+4\right) x+\log (x)\right)\right)}{\log (x)}\right)^2+1",1,"2*((-3*Log[Log[-2*x*(-5 - E^x + x) + Log[x]]])/Log[x] + Log[Log[-2*x*(-5 - E^x + x) + Log[x]]]^2/(2*Log[x]^2))","A",1
6685,1,23,29,0.2053167,"\int \frac{2496 x \log (1-2 x)+(240-480 x) \log ^2(1-2 x)+\left(-768 x \log (1-2 x)+(-192+384 x) \log ^2(1-2 x)\right) \log \left(x^2\right)}{-169 x^2+338 x^3+\left(104 x^2-208 x^3\right) \log \left(x^2\right)+\left(-16 x^2+32 x^3\right) \log ^2\left(x^2\right)} \, dx","Integrate[(2496*x*Log[1 - 2*x] + (240 - 480*x)*Log[1 - 2*x]^2 + (-768*x*Log[1 - 2*x] + (-192 + 384*x)*Log[1 - 2*x]^2)*Log[x^2])/(-169*x^2 + 338*x^3 + (104*x^2 - 208*x^3)*Log[x^2] + (-16*x^2 + 32*x^3)*Log[x^2]^2),x]","-\frac{48 \log ^2(1-2 x)}{x \left(4 \log \left(x^2\right)-13\right)}","\frac{16 \log ^2(1-2 x)}{\frac{4}{3} x \left(4-\log \left(x^2\right)\right)-x}",1,"(-48*Log[1 - 2*x]^2)/(x*(-13 + 4*Log[x^2]))","A",1
6686,1,10,7,0.0015368,"\int \frac{64+16 x+16 x \log (x)}{x} \, dx","Integrate[(64 + 16*x + 16*x*Log[x])/x,x]","16 x \log (x)+64 \log (x)","16 (x+4) \log (x)",1,"64*Log[x] + 16*x*Log[x]","A",1
6687,1,27,29,0.0155931,"\int \frac{6-20 x+28 x^2+e^5 \left(-2+6 x-8 x^2\right)}{3 x-14 x^2+e^5 \left(-x+4 x^2\right)} \, dx","Integrate[(6 - 20*x + 28*x^2 + E^5*(-2 + 6*x - 8*x^2))/(3*x - 14*x^2 + E^5*(-x + 4*x^2)),x]","-2 x+2 \log (x)-\log \left(4 e^5 x-14 x-e^5+3\right)","\log \left(\frac{x^2}{-\frac{2 x}{3-e^5}-4 x+1}\right)-2 x-3",1,"-2*x + 2*Log[x] - Log[3 - E^5 - 14*x + 4*E^5*x]","A",1
6688,1,15,17,0.0689918,"\int e^{\frac{1}{3} \left(-20+3 x+e^x (-9+9 x)\right)} \left(1+3 e^x x\right) \, dx","Integrate[E^((-20 + 3*x + E^x*(-9 + 9*x))/3)*(1 + 3*E^x*x),x]","e^{3 e^x (x-1)+x-\frac{20}{3}}","e^{-3 e^x (1-x)+x-\frac{20}{3}}",1,"E^(-20/3 + 3*E^x*(-1 + x) + x)","A",1
6689,1,13,21,0.0174354,"\int \left(-6 x^2+x^{2 x} (16+16 \log (x))\right) \, dx","Integrate[-6*x^2 + x^(2*x)*(16 + 16*Log[x]),x]","8 x^{2 x}-2 x^3","\frac{2 \left(4 x^{2 x+1}-x^4+x\right)}{x}",1,"-2*x^3 + 8*x^(2*x)","A",1
6690,1,29,31,0.0875601,"\int \frac{384 x^2-192 x^3-1576 x^4+800 x^5-100 x^6+e^{\frac{1}{-4+x}} \left(-16 x^4+7 x^5-x^6\right)+e^2 \left(16 x^4-8 x^5+x^6\right)}{2048-1024 x-51072 x^2+25600 x^3+316800 x^4-160000 x^5+20000 x^6+e^2 \left(512 x^2-256 x^3-6368 x^4+3200 x^5-400 x^6\right)+e^4 \left(32 x^4-16 x^5+2 x^6\right)+e^{\frac{2}{-4+x}} \left(32 x^4-16 x^5+2 x^6\right)+e^{\frac{1}{-4+x}} \left(-512 x^2+256 x^3+6368 x^4-3200 x^5+400 x^6+e^2 \left(-64 x^4+32 x^5-4 x^6\right)\right)} \, dx","Integrate[(384*x^2 - 192*x^3 - 1576*x^4 + 800*x^5 - 100*x^6 + E^(-4 + x)^(-1)*(-16*x^4 + 7*x^5 - x^6) + E^2*(16*x^4 - 8*x^5 + x^6))/(2048 - 1024*x - 51072*x^2 + 25600*x^3 + 316800*x^4 - 160000*x^5 + 20000*x^6 + E^2*(512*x^2 - 256*x^3 - 6368*x^4 + 3200*x^5 - 400*x^6) + E^4*(32*x^4 - 16*x^5 + 2*x^6) + E^(2/(-4 + x))*(32*x^4 - 16*x^5 + 2*x^6) + E^(-4 + x)^(-1)*(-512*x^2 + 256*x^3 + 6368*x^4 - 3200*x^5 + 400*x^6 + E^2*(-64*x^4 + 32*x^5 - 4*x^6))),x]","-\frac{x^3}{2 \left(\left(e^{\frac{1}{x-4}}+100-e^2\right) x^2-8\right)}","\frac{x}{2 \left(-4 \left(25-\frac{2}{x^2}\right)-e^{\frac{1}{x-4}}+e^2\right)}+5",1,"-1/2*x^3/(-8 + (100 - E^2 + E^(-4 + x)^(-1))*x^2)","A",1
6691,1,18,24,0.1137826,"\int \frac{2-2 x-45 x \log (4)}{-2 x^2+\left(-12 x-45 x^2\right) \log (4)+2 x \log (x)} \, dx","Integrate[(2 - 2*x - 45*x*Log[4])/(-2*x^2 + (-12*x - 45*x^2)*Log[4] + 2*x*Log[x]),x]","\log (2 x+45 x \log (4)-2 \log (x)+12 \log (4))","\log \left(-x+16 \left(x-\frac{\log (x)-x}{24 \log (4)}\right)+4\right)",1,"Log[2*x + 12*Log[4] + 45*x*Log[4] - 2*Log[x]]","A",1
6692,1,35,24,0.0118621,"\int \frac{1}{3} \left(-13824-19956 x-5408 x^2+(2304+1664 x) \log (2)-96 \log ^2(2)\right) \, dx","Integrate[(-13824 - 19956*x - 5408*x^2 + (2304 + 1664*x)*Log[2] - 96*Log[2]^2)/3,x]","-\frac{4}{3} \left(\frac{1352 x^3}{3}+\frac{4989 x^2}{2}-208 x^2 \log (2)+24 x (\log (2)-12)^2\right)","2 x \left(x-16 \left(\frac{x}{3}+4 (x+3)-\log (2)\right)^2\right)",1,"(-4*((4989*x^2)/2 + (1352*x^3)/3 + 24*x*(-12 + Log[2])^2 - 208*x^2*Log[2]))/3","A",1
6693,1,29,28,0.0480544,"\int \frac{x^2+e^{\frac{5+x}{x}} (20+10 x) \log (3)+\left(-2 x-x^2\right) \log (3)}{\left(2 x^2+x^3\right) \log (3)} \, dx","Integrate[(x^2 + E^((5 + x)/x)*(20 + 10*x)*Log[3] + (-2*x - x^2)*Log[3])/((2*x^2 + x^3)*Log[3]),x]","-2 e^{\frac{5}{x}+1}-\log (x)+\frac{\log (x \log (3)+\log (9))}{\log (3)}","-2 e^{\frac{x+5}{x}}-\log (x)+\frac{\log (x+2)}{\log (3)}+\frac{3}{8}",1,"-2*E^(1 + 5/x) - Log[x] + Log[x*Log[3] + Log[9]]/Log[3]","A",1
6694,1,28,31,0.0541702,"\int \frac{75 e^x-75 x+\left(e^x (30-75 x)+45 x\right) \log (x)+\left(-62 x+e^x (-13+75 x)\right) \log ^2(x)+\left(-23 x+23 e^x x\right) \log ^3(x)+\left(-x+e^x x\right) \log ^4(x)}{25 x \log ^2(x)+10 x \log ^3(x)+x \log ^4(x)} \, dx","Integrate[(75*E^x - 75*x + (E^x*(30 - 75*x) + 45*x)*Log[x] + (-62*x + E^x*(-13 + 75*x))*Log[x]^2 + (-23*x + 23*E^x*x)*Log[x]^3 + (-x + E^x*x)*Log[x]^4)/(25*x*Log[x]^2 + 10*x*Log[x]^3 + x*Log[x]^4),x]","\frac{\left(e^x-x\right) \left(\log ^2(x)+18 \log (x)-15\right)}{\log (x) (\log (x)+5)}","\frac{\left(x-e^x\right) \left(-x+\frac{3 x}{\log (x)}-\frac{16 x}{\log (x)+5}\right)}{x}",1,"((E^x - x)*(-15 + 18*Log[x] + Log[x]^2))/(Log[x]*(5 + Log[x]))","A",1
6695,1,18,21,0.0923882,"\int \frac{\left(2 x-5 x^2\right) \log \left(-2 x+5 x^2\right)+(-4+20 x) \log (\log (5))+(-4+20 x) \log \left(\log \left(-2 x+5 x^2\right)\right)}{\left(-2 x+5 x^2\right) \log \left(-2 x+5 x^2\right)} \, dx","Integrate[((2*x - 5*x^2)*Log[-2*x + 5*x^2] + (-4 + 20*x)*Log[Log[5]] + (-4 + 20*x)*Log[Log[-2*x + 5*x^2]])/((-2*x + 5*x^2)*Log[-2*x + 5*x^2]),x]","\log ^2(\log (5) \log (x (5 x-2)))-x","\left(\log \left(\log \left(5 x^2-2 x\right)\right)+\log (\log (5))\right)^2-x",1,"-x + Log[Log[5]*Log[x*(-2 + 5*x)]]^2","A",1
6696,1,23,24,0.310757,"\int \frac{\left(-e^5+x\right)^{\frac{20 x}{-x^2+\log ^4(7)}} \left(20 x^3-20 x \log ^4(7)+\left(20 e^5 x^2-20 x^3+\left(20 e^5-20 x\right) \log ^4(7)\right) \log \left(-e^5+x\right)\right)}{e^5 x^4-x^5+\left(-2 e^5 x^2+2 x^3\right) \log ^4(7)+\left(e^5-x\right) \log ^8(7)} \, dx","Integrate[((-E^5 + x)^((20*x)/(-x^2 + Log[7]^4))*(20*x^3 - 20*x*Log[7]^4 + (20*E^5*x^2 - 20*x^3 + (20*E^5 - 20*x)*Log[7]^4)*Log[-E^5 + x]))/(E^5*x^4 - x^5 + (-2*E^5*x^2 + 2*x^3)*Log[7]^4 + (E^5 - x)*Log[7]^8),x]","\left(x-e^5\right)^{-\frac{20 x}{x^2-\log ^4(7)}}","\left(x-e^5\right)^{\frac{20}{\frac{\log ^4(7)}{x}-x}}",1,"(-E^5 + x)^((-20*x)/(x^2 - Log[7]^4))","A",1
6697,1,11,11,0.0571996,"\int -\frac{100 \exp \left(\frac{-20711+6912 x-864 x^2+48 x^3-x^4}{20736-6912 x+864 x^2-48 x^3+x^4}\right)}{-248832+103680 x-17280 x^2+1440 x^3-60 x^4+x^5} \, dx","Integrate[(-100*E^((-20711 + 6912*x - 864*x^2 + 48*x^3 - x^4)/(20736 - 6912*x + 864*x^2 - 48*x^3 + x^4)))/(-248832 + 103680*x - 17280*x^2 + 1440*x^3 - 60*x^4 + x^5),x]","e^{\frac{25}{(x-12)^4}-1}","e^{\frac{25}{(x-12)^4}-1}",1,"E^(-1 + 25/(-12 + x)^4)","A",1
6698,1,24,24,0.1401948,"\int \frac{5+50 e^{x^2} x^2+e^{e^{3+x}} \left(-5 e^{3+x} x^2+50 e^{x^2} x^3\right)+\left(-20 e^{x^2} x^2-20 e^{e^{3+x}+x^2} x^3\right) \log \left(\frac{1+e^{e^{3+x}} x}{x}\right)+\left(2 e^{x^2} x^2+2 e^{e^{3+x}+x^2} x^3\right) \log ^2\left(\frac{1+e^{e^{3+x}} x}{x}\right)}{25 x+25 e^{e^{3+x}} x^2+\left(-10 x-10 e^{e^{3+x}} x^2\right) \log \left(\frac{1+e^{e^{3+x}} x}{x}\right)+\left(x+e^{e^{3+x}} x^2\right) \log ^2\left(\frac{1+e^{e^{3+x}} x}{x}\right)} \, dx","Integrate[(5 + 50*E^x^2*x^2 + E^E^(3 + x)*(-5*E^(3 + x)*x^2 + 50*E^x^2*x^3) + (-20*E^x^2*x^2 - 20*E^(E^(3 + x) + x^2)*x^3)*Log[(1 + E^E^(3 + x)*x)/x] + (2*E^x^2*x^2 + 2*E^(E^(3 + x) + x^2)*x^3)*Log[(1 + E^E^(3 + x)*x)/x]^2)/(25*x + 25*E^E^(3 + x)*x^2 + (-10*x - 10*E^E^(3 + x)*x^2)*Log[(1 + E^E^(3 + x)*x)/x] + (x + E^E^(3 + x)*x^2)*Log[(1 + E^E^(3 + x)*x)/x]^2),x]","e^{x^2}+\frac{5}{\log \left(e^{e^{x+3}}+\frac{1}{x}\right)-5}","e^{x^2}+\frac{5}{\log \left(e^{e^{x+3}}+\frac{1}{x}\right)-5}",1,"E^x^2 + 5/(-5 + Log[E^E^(3 + x) + x^(-1)])","A",1
6699,1,19,19,0.0438653,"\int \frac{x-4 x^2+e^{\frac{-2+11 x-x^2}{x}} \left(2+x-x^2\right)}{x} \, dx","Integrate[(x - 4*x^2 + E^((-2 + 11*x - x^2)/x)*(2 + x - x^2))/x,x]","\left(-2 x+e^{-x-\frac{2}{x}+11}+1\right) x","\left(-2 x+e^{-x-\frac{2}{x}+11}+1\right) x",1,"(1 + E^(11 - 2/x - x) - 2*x)*x","A",1
6700,1,29,29,0.2999481,"\int \frac{-e^{1+x} x^2+2 e^{10+e^2+e^{8-x^2}-x^2} x^3+\left(2 e^{2+e^2+e^{8-x^2}} x+2 e^{1+x} x\right) \log \left(e^{2+e^2+e^{8-x^2}}+e^{1+x}\right)}{\left(e^{2+e^2+e^{8-x^2}}+e^{1+x}\right) \log ^2\left(e^{2+e^2+e^{8-x^2}}+e^{1+x}\right)} \, dx","Integrate[(-(E^(1 + x)*x^2) + 2*E^(10 + E^2 + E^(8 - x^2) - x^2)*x^3 + (2*E^(2 + E^2 + E^(8 - x^2))*x + 2*E^(1 + x)*x)*Log[E^(2 + E^2 + E^(8 - x^2)) + E^(1 + x)])/((E^(2 + E^2 + E^(8 - x^2)) + E^(1 + x))*Log[E^(2 + E^2 + E^(8 - x^2)) + E^(1 + x)]^2),x]","\frac{x^2}{\log \left(e^{e^{8-x^2}+1+e^2}+e^x\right)+1}","\frac{x^2}{\log \left(e^{e^{8-x^2}+2+e^2}+e^{x+1}\right)}",1,"x^2/(1 + Log[E^(1 + E^2 + E^(8 - x^2)) + E^x])","A",1
6701,1,15,22,0.0168449,"\int -\frac{51 e^{-\frac{3}{-4-17 x+\log (4)}}}{16+136 x+289 x^2+(-8-34 x) \log (4)+\log ^2(4)} \, dx","Integrate[-51/(E^(3/(-4 - 17*x + Log[4]))*(16 + 136*x + 289*x^2 + (-8 - 34*x)*Log[4] + Log[4]^2)),x]","e^{\frac{3}{17 x+4-\log (4)}}","e^{\frac{1}{6 x+\frac{1}{3} (-x+1-\log (4))+1}}",1,"E^(3/(4 + 17*x - Log[4]))","A",1
6702,1,19,19,0.3609243,"\int \frac{e^{179 x/3} (-6-349 x)+e^x \left(-12-6 x+3 x^2\right)}{24 x^3+3 e^{176 x} x^3+36 x^4+18 x^5+3 x^6+e^{352 x/3} \left(18 x^3+9 x^4\right)+e^{176 x/3} \left(36 x^3+36 x^4+9 x^5\right)} \, dx","Integrate[(E^((179*x)/3)*(-6 - 349*x) + E^x*(-12 - 6*x + 3*x^2))/(24*x^3 + 3*E^(176*x)*x^3 + 36*x^4 + 18*x^5 + 3*x^6 + E^((352*x)/3)*(18*x^3 + 9*x^4) + E^((176*x)/3)*(36*x^3 + 36*x^4 + 9*x^5)),x]","\frac{e^x}{x^2 \left(x+e^{176 x/3}+2\right)^2}","\frac{e^x}{x^2 \left(x+e^{176 x/3}+2\right)^2}",1,"E^x/(x^2*(2 + E^((176*x)/3) + x)^2)","A",1
6703,1,22,22,0.0404354,"\int \left(8 e^{2 x+\frac{1}{4} \left(-4 e^{2 x}-\log (5)\right)}+8 x\right) \, dx","Integrate[8*E^(2*x + (-4*E^(2*x) - Log[5])/4) + 8*x,x]","4 x^2-\frac{4 e^{-e^{2 x}}}{\sqrt[4]{5}}","4 \left(x^2-\frac{e^{-e^{2 x}}}{\sqrt[4]{5}}\right)",1,"-4/(5^(1/4)*E^E^(2*x)) + 4*x^2","A",1
6704,1,38,30,0.6186908,"\int \frac{2 e^x x+e^{e^{2 x}+2 e^x x+x^2} \left(-6 e^{2 x} x-6 x^2+e^x \left(-6 x-6 x^2\right)\right)-x \log \left(5 e^{-e^{e^{2 x}+2 e^x x+x^2}}\right)+\left(-e^x x-x \log \left(5 e^{-e^{e^{2 x}+2 e^x x+x^2}}\right)+\left(3 e^x+3 \log \left(5 e^{-e^{e^{2 x}+2 e^x x+x^2}}\right)\right) \log \left(e^x+\log \left(5 e^{-e^{e^{2 x}+2 e^x x+x^2}}\right)\right)\right) \log \left(-x+3 \log \left(e^x+\log \left(5 e^{-e^{e^{2 x}+2 e^x x+x^2}}\right)\right)\right)}{-e^x x-x \log \left(5 e^{-e^{e^{2 x}+2 e^x x+x^2}}\right)+\left(3 e^x+3 \log \left(5 e^{-e^{e^{2 x}+2 e^x x+x^2}}\right)\right) \log \left(e^x+\log \left(5 e^{-e^{e^{2 x}+2 e^x x+x^2}}\right)\right)} \, dx","Integrate[(2*E^x*x + E^(E^(2*x) + 2*E^x*x + x^2)*(-6*E^(2*x)*x - 6*x^2 + E^x*(-6*x - 6*x^2)) - x*Log[5/E^E^(E^(2*x) + 2*E^x*x + x^2)] + (-(E^x*x) - x*Log[5/E^E^(E^(2*x) + 2*E^x*x + x^2)] + (3*E^x + 3*Log[5/E^E^(E^(2*x) + 2*E^x*x + x^2)])*Log[E^x + Log[5/E^E^(E^(2*x) + 2*E^x*x + x^2)]])*Log[-x + 3*Log[E^x + Log[5/E^E^(E^(2*x) + 2*E^x*x + x^2)]]])/(-(E^x*x) - x*Log[5/E^E^(E^(2*x) + 2*E^x*x + x^2)] + (3*E^x + 3*Log[5/E^E^(E^(2*x) + 2*E^x*x + x^2)])*Log[E^x + Log[5/E^E^(E^(2*x) + 2*E^x*x + x^2)]]),x]","x \log \left(3 \log \left(\log \left(5 e^{-e^{x^2+2 e^x x+e^{2 x}}}\right)+e^x\right)-x\right)","x \log \left(3 \log \left(e^x+\log \left(5 e^{-e^{\left(x+e^x\right)^2}}\right)\right)-x\right)",1,"x*Log[-x + 3*Log[E^x + Log[5/E^E^(E^(2*x) + 2*E^x*x + x^2)]]]","A",1
6705,1,15,15,0.0111572,"\int \left(-1-x+\log \left(\frac{5 e^{-x}}{2 x}\right)\right) \, dx","Integrate[-1 - x + Log[5/(2*E^x*x)],x]","x \log \left(\frac{5 e^{-x}}{2 x}\right)","x \log \left(\frac{5 e^{-x}}{2 x}\right)",1,"x*Log[5/(2*E^x*x)]","A",1
6706,1,28,28,0.4892813,"\int \frac{e^{\frac{x}{-x+\log \left(-75 x \log (x)+\log \left(x^2\right)\right)}} \left(2 x-75 x^2-75 x^2 \log (x)+\left(75 x^2 \log (x)-x \log \left(x^2\right)\right) \log \left(-75 x \log (x)+\log \left(x^2\right)\right)\right)+\log \left(1+e^{\frac{x}{-x+\log \left(-75 x \log (x)+\log \left(x^2\right)\right)}}\right) \left(-75 x^3 \log (x)+x^2 \log \left(x^2\right)+\left(150 x^2 \log (x)-2 x \log \left(x^2\right)\right) \log \left(-75 x \log (x)+\log \left(x^2\right)\right)+\left(-75 x \log (x)+\log \left(x^2\right)\right) \log ^2\left(-75 x \log (x)+\log \left(x^2\right)\right)+e^{\frac{x}{-x+\log \left(-75 x \log (x)+\log \left(x^2\right)\right)}} \left(-75 x^3 \log (x)+x^2 \log \left(x^2\right)+\left(150 x^2 \log (x)-2 x \log \left(x^2\right)\right) \log \left(-75 x \log (x)+\log \left(x^2\right)\right)+\left(-75 x \log (x)+\log \left(x^2\right)\right) \log ^2\left(-75 x \log (x)+\log \left(x^2\right)\right)\right)\right)}{\log ^2\left(1+e^{\frac{x}{-x+\log \left(-75 x \log (x)+\log \left(x^2\right)\right)}}\right) \left(-75 x^3 \log (x)+x^2 \log \left(x^2\right)+\left(150 x^2 \log (x)-2 x \log \left(x^2\right)\right) \log \left(-75 x \log (x)+\log \left(x^2\right)\right)+\left(-75 x \log (x)+\log \left(x^2\right)\right) \log ^2\left(-75 x \log (x)+\log \left(x^2\right)\right)+e^{\frac{x}{-x+\log \left(-75 x \log (x)+\log \left(x^2\right)\right)}} \left(-75 x^3 \log (x)+x^2 \log \left(x^2\right)+\left(150 x^2 \log (x)-2 x \log \left(x^2\right)\right) \log \left(-75 x \log (x)+\log \left(x^2\right)\right)+\left(-75 x \log (x)+\log \left(x^2\right)\right) \log ^2\left(-75 x \log (x)+\log \left(x^2\right)\right)\right)\right)} \, dx","Integrate[(E^(x/(-x + Log[-75*x*Log[x] + Log[x^2]]))*(2*x - 75*x^2 - 75*x^2*Log[x] + (75*x^2*Log[x] - x*Log[x^2])*Log[-75*x*Log[x] + Log[x^2]]) + Log[1 + E^(x/(-x + Log[-75*x*Log[x] + Log[x^2]]))]*(-75*x^3*Log[x] + x^2*Log[x^2] + (150*x^2*Log[x] - 2*x*Log[x^2])*Log[-75*x*Log[x] + Log[x^2]] + (-75*x*Log[x] + Log[x^2])*Log[-75*x*Log[x] + Log[x^2]]^2 + E^(x/(-x + Log[-75*x*Log[x] + Log[x^2]]))*(-75*x^3*Log[x] + x^2*Log[x^2] + (150*x^2*Log[x] - 2*x*Log[x^2])*Log[-75*x*Log[x] + Log[x^2]] + (-75*x*Log[x] + Log[x^2])*Log[-75*x*Log[x] + Log[x^2]]^2)))/(Log[1 + E^(x/(-x + Log[-75*x*Log[x] + Log[x^2]]))]^2*(-75*x^3*Log[x] + x^2*Log[x^2] + (150*x^2*Log[x] - 2*x*Log[x^2])*Log[-75*x*Log[x] + Log[x^2]] + (-75*x*Log[x] + Log[x^2])*Log[-75*x*Log[x] + Log[x^2]]^2 + E^(x/(-x + Log[-75*x*Log[x] + Log[x^2]]))*(-75*x^3*Log[x] + x^2*Log[x^2] + (150*x^2*Log[x] - 2*x*Log[x^2])*Log[-75*x*Log[x] + Log[x^2]] + (-75*x*Log[x] + Log[x^2])*Log[-75*x*Log[x] + Log[x^2]]^2))),x]","\frac{x}{\log \left(e^{\frac{x}{\log \left(\log \left(x^2\right)-75 x \log (x)\right)-x}}+1\right)}","\frac{x}{\log \left(e^{\frac{x}{\log \left(\log \left(x^2\right)-75 x \log (x)\right)-x}}+1\right)}",1,"x/Log[1 + E^(x/(-x + Log[-75*x*Log[x] + Log[x^2]]))]","A",1
6707,1,26,26,0.0993449,"\int \frac{x^{\frac{4}{\log \left(x^2\right)}} \left(8 \log (x)-4 \log \left(x^2\right)\right)+\left(4 x-e^x x-2 x^2\right) \log ^2\left(x^2\right)}{x \log ^2\left(x^2\right)} \, dx","Integrate[(x^(4/Log[x^2])*(8*Log[x] - 4*Log[x^2]) + (4*x - E^x*x - 2*x^2)*Log[x^2]^2)/(x*Log[x^2]^2),x]","-x^2-x^{\frac{4}{\log \left(x^2\right)}}+4 x-e^x","-x^{\frac{4}{\log \left(x^2\right)}}-(x-3) x+x-e^x+2",1,"-E^x + 4*x - x^2 - x^(4/Log[x^2])","A",1
6708,1,22,25,0.1262824,"\int \frac{e^{-5-\frac{x}{e^5}} \left(e^{e^2} \left(-2 e^5-x\right)-24 x-x^4+e^5 \left(-48+x^3\right)\right)}{x^3} \, dx","Integrate[(E^(-5 - x/E^5)*(E^E^2*(-2*E^5 - x) - 24*x - x^4 + E^5*(-48 + x^3)))/x^3,x]","\frac{e^{-\frac{x}{e^5}} \left(x^3+e^{e^2}+24\right)}{x^2}","e^{-\frac{x}{e^5}} \left(x-\frac{-24-e^{e^2}}{x^2}\right)",1,"(24 + E^E^2 + x^3)/(E^(x/E^5)*x^2)","A",1
6709,1,25,25,0.3468501,"\int \frac{256-1280 x^2+(-256-2560 x) \log (x)-1280 \log ^2(x)}{\left(x^2+5 x^3+\left(x+10 x^2\right) \log (x)+5 x \log ^2(x)\right) \log ^2\left(\frac{x+5 x^2+5 x \log (x)}{2 x+2 \log (x)}\right)} \, dx","Integrate[(256 - 1280*x^2 + (-256 - 2560*x)*Log[x] - 1280*Log[x]^2)/((x^2 + 5*x^3 + (x + 10*x^2)*Log[x] + 5*x*Log[x]^2)*Log[(x + 5*x^2 + 5*x*Log[x])/(2*x + 2*Log[x])]^2),x]","\frac{256}{\log \left(\frac{x (5 x+5 \log (x)+1)}{2 (x+\log (x))}\right)}","\frac{256}{\log \left(\frac{1}{2} \left(5 x+\frac{x}{x+\log (x)}\right)\right)}+2+\log (2)",1,"256/Log[(x*(1 + 5*x + 5*Log[x]))/(2*(x + Log[x]))]","A",1
6710,1,26,31,0.2923847,"\int \frac{3 x^2-16 x^3-10 x^4+72 x^5+63 x^6+e^x \left(-3 x^2+17 x^3+6 x^4-74 x^5-51 x^6+9 x^7\right)}{36-72 e^x+36 e^{2 x}} \, dx","Integrate[(3*x^2 - 16*x^3 - 10*x^4 + 72*x^5 + 63*x^6 + E^x*(-3*x^2 + 17*x^3 + 6*x^4 - 74*x^5 - 51*x^6 + 9*x^7))/(36 - 72*E^x + 36*E^(2*x)),x]","-\frac{x^3 \left(3 x^2+2 x-1\right)^2}{36 \left(e^x-1\right)}","\frac{x^2 (3 x-1)^2 \left(x^2+x\right)^2}{36 \left(x-e^x x\right)}",1,"-1/36*(x^3*(-1 + 2*x + 3*x^2)^2)/(-1 + E^x)","A",1
6711,1,79,18,0.0437327,"\int \frac{2 e^{6+2 x}+16 e^4 x^3+e^{10} (-10+2 x)+e^7 \left(-40 x+12 x^2\right)+e^x \left(e^8 (-8+2 x)+e^5 \left(8 x+4 x^2\right)\right)}{e^{10}} \, dx","Integrate[(2*E^(6 + 2*x) + 16*E^4*x^3 + E^10*(-10 + 2*x) + E^7*(-40*x + 12*x^2) + E^x*(E^8*(-8 + 2*x) + E^5*(8*x + 4*x^2)))/E^10,x]","\frac{2 \left(2 x^4+2 e^3 x^3+2 e^{x+1} x^2+\frac{e^6 x^2}{2}-10 e^3 x^2-5 e^6 x+\frac{1}{2} e^{2 x+2}+e^x \left(e^4 x-5 e^4\right)\right)}{e^6}","\left(\frac{2 x^2}{e^3}+x+e^{x-2}-5\right)^2",1,"(2*(E^(2 + 2*x)/2 - 5*E^6*x - 10*E^3*x^2 + (E^6*x^2)/2 + 2*E^(1 + x)*x^2 + 2*E^3*x^3 + 2*x^4 + E^x*(-5*E^4 + E^4*x)))/E^6","B",1
6712,1,15,24,0.015548,"\int \frac{-72-2 e^{e^2}+48 x-12 x^2+x^3}{-64+48 x-12 x^2+x^3} \, dx","Integrate[(-72 - 2*E^E^2 + 48*x - 12*x^2 + x^3)/(-64 + 48*x - 12*x^2 + x^3),x]","x+\frac{4+e^{e^2}}{(x-4)^2}","x+\frac{4+e^{e^2}}{(x+4)^2-16 x}+e^3",1,"(4 + E^E^2)/(-4 + x)^2 + x","A",1
6713,1,19,17,0.1542545,"\int \frac{15+e^{\frac{1}{15} \left(75+11 x+x^2\right)} (11+2 x)}{15 e^{\frac{1}{15} \left(75+11 x+x^2\right)}+15 x} \, dx","Integrate[(15 + E^((75 + 11*x + x^2)/15)*(11 + 2*x))/(15*E^((75 + 11*x + x^2)/15) + 15*x),x]","\log \left(e^{\frac{x^2}{15}+\frac{11 x}{15}+5}+x\right)","\log \left(x+e^{\frac{1}{15} x (x+11)+5}\right)-1",1,"Log[E^(5 + (11*x)/15 + x^2/15) + x]","A",1
6714,1,2,6,0.0001486,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log (x)+\log (\log (3))",1,"Log[x]","A",1
6715,1,36,19,0.0039523,"\int \left(40+32 x+\left(-60 x^2-64 x^3\right) \log ^2(4)+24 x^5 \log ^4(4)\right) \, dx","Integrate[40 + 32*x + (-60*x^2 - 64*x^3)*Log[4]^2 + 24*x^5*Log[4]^4,x]","4 x^6 \log ^4(4)-16 x^4 \log ^2(4)-20 x^3 \log ^2(4)+16 x^2+40 x","\left(2 \left(x^3 \log ^2(4)-2 x-1\right)-3\right)^2",1,"40*x + 16*x^2 - 20*x^3*Log[4]^2 - 16*x^4*Log[4]^2 + 4*x^6*Log[4]^4","A",1
6716,1,16,25,0.0066691,"\int \frac{4-e^4+32 x^3-\log (4)}{x^2} \, dx","Integrate[(4 - E^4 + 32*x^3 - Log[4])/x^2,x]","\frac{16 x^3+e^4-4+\log (4)}{x}","16 \left(x^2-5\right)+\frac{x+e^4-4+\log (4)}{x}-e^5",1,"(-4 + E^4 + 16*x^3 + Log[4])/x","A",1
6717,1,34,22,0.0258793,"\int \frac{2375+4 e^4+e^2 (-195-8 x)+200 x+4 x^2}{2500+2575 x+199 x^2+4 x^3+e^4 (4+4 x)+e^2 \left(-200-203 x-8 x^2\right)} \, dx","Integrate[(2375 + 4*E^4 + E^2*(-195 - 8*x) + 200*x + 4*x^2)/(2500 + 2575*x + 199*x^2 + 4*x^3 + E^4*(4 + 4*x) + E^2*(-200 - 203*x - 8*x^2)),x]","\log \left(4 x^2-4 e^2 x+99 x-4 e^2+100\right)-\log \left(x-e^2+25\right)","\log \left(x-5 \left(\frac{x}{-x+e^2-25}+x\right)-4\right)+5",1,"-Log[25 - E^2 + x] + Log[100 - 4*E^2 + 99*x - 4*E^2*x + 4*x^2]","A",1
6718,1,12,13,0.0849625,"\int \frac{-2+2 x+x^3-2 x^2 \log (x)+x \log ^2(x)}{x^3-2 x^2 \log (x)+x \log ^2(x)} \, dx","Integrate[(-2 + 2*x + x^3 - 2*x^2*Log[x] + x*Log[x]^2)/(x^3 - 2*x^2*Log[x] + x*Log[x]^2),x]","x+\frac{2}{\log (x)-x}","x-\frac{2}{x-\log (x)}-4",1,"x + 2/(-x + Log[x])","A",1
6719,1,20,19,0.0913234,"\int \frac{e^{-3 x} \left(5+\left(-15 x-10 x^2+15 x^3\right) \log (x)-15 x \log (x) \log (4 \log (x))\right)}{x \log (x)} \, dx","Integrate[(5 + (-15*x - 10*x^2 + 15*x^3)*Log[x] - 15*x*Log[x]*Log[4*Log[x]])/(E^(3*x)*x*Log[x]),x]","e^{-3 x} \left(-5 x^2+5 \log (4 \log (x))+5\right)","5 e^{-3 x} \left(-x^2+\log (4 \log (x))+1\right)",1,"(5 - 5*x^2 + 5*Log[4*Log[x]])/E^(3*x)","A",1
6720,1,22,24,0.2977103,"\int \frac{\left(15 e^5-15 x\right) \log ^2(x)+\left(\left(30 e^5-30 x\right) \log (x)+\left(-15 e^5+45 x\right) \log ^2(x)\right) \log (2 x)}{e^{15} x^2-3 e^{10} x^3+3 e^5 x^4-x^5} \, dx","Integrate[((15*E^5 - 15*x)*Log[x]^2 + ((30*E^5 - 30*x)*Log[x] + (-15*E^5 + 45*x)*Log[x]^2)*Log[2*x])/(E^15*x^2 - 3*E^10*x^3 + 3*E^5*x^4 - x^5),x]","\frac{15 \log ^2(x) \log (2 x)}{\left(e^5-x\right)^2 x}","\frac{15 \log ^2(x) \log (2 x)}{\left(e^5-x\right)^2 x}-5",1,"(15*Log[x]^2*Log[2*x])/((E^5 - x)^2*x)","A",1
6721,1,29,28,0.12338,"\int \frac{1}{4} e^{-x} \left(30 e^x x+40 x^3-10 x^4+e^5 \left(15 x^2-5 x^3\right)\right) \, dx","Integrate[(30*E^x*x + 40*x^3 - 10*x^4 + E^5*(15*x^2 - 5*x^3))/(4*E^x),x]","\frac{5}{4} \left(3 x^2+e^{-x} \left(2 x^4+e^5 x^3\right)\right)","5 x \left(\frac{1}{4} e^{-x} \left(2 x+e^5\right) x^2+\frac{3 x}{4}\right)",1,"(5*(3*x^2 + (E^5*x^3 + 2*x^4)/E^x))/4","A",1
6722,1,23,34,0.0135474,"\int \frac{960+480 x+2520 x^2+360 e^3 x^2}{400-320 x-16 x^2-248 x^3+116 x^4+28 x^5+49 x^6+e^6 x^6+e^3 \left(-40 x^3+16 x^4+4 x^5+14 x^6\right)} \, dx","Integrate[(960 + 480*x + 2520*x^2 + 360*E^3*x^2)/(400 - 320*x - 16*x^2 - 248*x^3 + 116*x^4 + 28*x^5 + 49*x^6 + E^6*x^6 + E^3*(-40*x^3 + 16*x^4 + 4*x^5 + 14*x^6)),x]","-\frac{120}{\left(7+e^3\right) x^3+2 x^2+8 x-20}","\frac{12}{x \left(\frac{1}{5} \left(-\frac{1}{2} \left(7+e^3\right) x^2-x-4\right)+\frac{2}{x}\right)}",1,"-120/(-20 + 8*x + 2*x^2 + (7 + E^3)*x^3)","A",1
6723,1,26,26,0.424616,"\int e^{-6+e^{5 x}-e^{32 e^{-1+e^{5 x}}} x^2} \left(e^{32 e^{-1+e^{5 x}}} x^x \left(-2 e^{1-e^{5 x}} x-160 e^{5 x} x^2\right)+e^{1-e^{5 x}} x^x (1+\log (x))\right) \, dx","Integrate[E^(-6 + E^(5*x) - E^(32*E^(-1 + E^(5*x)))*x^2)*(E^(32*E^(-1 + E^(5*x)))*x^x*(-2*E^(1 - E^(5*x))*x - 160*E^(5*x)*x^2) + E^(1 - E^(5*x))*x^x*(1 + Log[x])),x]","e^{-e^{32 e^{e^{5 x}-1}} x^2-5} x^x","e^{-e^{32 e^{e^{5 x}-1}} x^2-5} x^x",1,"E^(-5 - E^(32*E^(-1 + E^(5*x)))*x^2)*x^x","A",1
6724,0,0,26,0.3585341,"\int \frac{e^{-2 x} \left(\left(-72+48 x-8 x^2+\left(18-12 x+2 x^2+18 x^4-12 x^5+2 x^6\right) \log \left(\frac{2+2 x^4}{x^4}\right)\right) \log \left(x \log \left(\frac{2+2 x^4}{x^4}\right)\right)+\left(-24 x+14 x^2-2 x^3-24 x^5+14 x^6-2 x^7\right) \log \left(\frac{2+2 x^4}{x^4}\right) \log ^2\left(x \log \left(\frac{2+2 x^4}{x^4}\right)\right)\right)}{\left(x+x^5\right) \log \left(\frac{2+2 x^4}{x^4}\right)} \, dx","Integrate[((-72 + 48*x - 8*x^2 + (18 - 12*x + 2*x^2 + 18*x^4 - 12*x^5 + 2*x^6)*Log[(2 + 2*x^4)/x^4])*Log[x*Log[(2 + 2*x^4)/x^4]] + (-24*x + 14*x^2 - 2*x^3 - 24*x^5 + 14*x^6 - 2*x^7)*Log[(2 + 2*x^4)/x^4]*Log[x*Log[(2 + 2*x^4)/x^4]]^2)/(E^(2*x)*(x + x^5)*Log[(2 + 2*x^4)/x^4]),x]","\int \frac{e^{-2 x} \left(\left(-72+48 x-8 x^2+\left(18-12 x+2 x^2+18 x^4-12 x^5+2 x^6\right) \log \left(\frac{2+2 x^4}{x^4}\right)\right) \log \left(x \log \left(\frac{2+2 x^4}{x^4}\right)\right)+\left(-24 x+14 x^2-2 x^3-24 x^5+14 x^6-2 x^7\right) \log \left(\frac{2+2 x^4}{x^4}\right) \log ^2\left(x \log \left(\frac{2+2 x^4}{x^4}\right)\right)\right)}{\left(x+x^5\right) \log \left(\frac{2+2 x^4}{x^4}\right)} \, dx","e^{-2 x} (x-3)^2 \log ^2\left(x \log \left(\frac{2}{x^4}+2\right)\right)+3",1,"Integrate[((-72 + 48*x - 8*x^2 + (18 - 12*x + 2*x^2 + 18*x^4 - 12*x^5 + 2*x^6)*Log[(2 + 2*x^4)/x^4])*Log[x*Log[(2 + 2*x^4)/x^4]] + (-24*x + 14*x^2 - 2*x^3 - 24*x^5 + 14*x^6 - 2*x^7)*Log[(2 + 2*x^4)/x^4]*Log[x*Log[(2 + 2*x^4)/x^4]]^2)/(E^(2*x)*(x + x^5)*Log[(2 + 2*x^4)/x^4]), x]","F",-1
6725,1,30,26,0.0206873,"\int \frac{e^{5/2} \left(50 x-25 x^2\right)}{16 x^4+e^5 \left(10000-20000 x+10000 x^2\right)+e^{5/2} \left(-800 x^2+800 x^3\right)} \, dx","Integrate[(E^(5/2)*(50*x - 25*x^2))/(16*x^4 + E^5*(10000 - 20000*x + 10000*x^2) + E^(5/2)*(-800*x^2 + 800*x^3)),x]","-\frac{25 e^{5/2} (1-x)}{16 \left(x^2+25 e^{5/2} (x-1)\right)}","\frac{x}{16 \left(\frac{25 e^{5/2} (1-x)}{x}-x\right)}",1,"(-25*E^(5/2)*(1 - x))/(16*(25*E^(5/2)*(-1 + x) + x^2))","A",1
6726,1,15,21,0.0017088,"\int \frac{1}{2} \left(-3+2 e^{2 x}\right) \, dx","Integrate[(-3 + 2*E^(2*x))/2,x]","\frac{e^{2 x}}{2}-\frac{3 x}{2}","\frac{1}{2} \left(-x+e^{2 x}-\frac{5}{4}\right)-x+6",1,"E^(2*x)/2 - (3*x)/2","A",1
6727,1,30,29,0.270774,"\int \frac{-1+e^{e^2} \left(1+e^{2 x} (-256-2 x)\right)-x+e^{2 x} \left(256+257 x+2 x^2\right)+\left(-256+256 e^{e^2}-255 x\right) \log (x)+\left(-e^{e^2+2 x}+e^{2 x} (1+x)+\left(-1+e^{e^2}-x\right) \log (x)\right) \log \left(\frac{-e^{2 x}+\log (x)}{-1+e^{e^2}-x}\right)}{-256 e^{e^2+2 x} x+e^{2 x} \left(256 x+256 x^2\right)+\left(-256 x+256 e^{e^2} x-256 x^2\right) \log (x)+\left(-e^{e^2+2 x} x+e^{2 x} \left(x+x^2\right)+\left(-x+e^{e^2} x-x^2\right) \log (x)\right) \log \left(\frac{-e^{2 x}+\log (x)}{-1+e^{e^2}-x}\right)} \, dx","Integrate[(-1 + E^E^2*(1 + E^(2*x)*(-256 - 2*x)) - x + E^(2*x)*(256 + 257*x + 2*x^2) + (-256 + 256*E^E^2 - 255*x)*Log[x] + (-E^(E^2 + 2*x) + E^(2*x)*(1 + x) + (-1 + E^E^2 - x)*Log[x])*Log[(-E^(2*x) + Log[x])/(-1 + E^E^2 - x)])/(-256*E^(E^2 + 2*x)*x + E^(2*x)*(256*x + 256*x^2) + (-256*x + 256*E^E^2*x - 256*x^2)*Log[x] + (-(E^(E^2 + 2*x)*x) + E^(2*x)*(x + x^2) + (-x + E^E^2*x - x^2)*Log[x])*Log[(-E^(2*x) + Log[x])/(-1 + E^E^2 - x)]),x]","\log (x)+\log \left(\log \left(\frac{e^{2 x}-\log (x)}{x-e^{e^2}+1}\right)+256\right)","\log \left(x \left(\log \left(\frac{e^{2 x}-\log (x)}{x-e^{e^2}+1}\right)+256\right)\right)",1,"Log[x] + Log[256 + Log[(E^(2*x) - Log[x])/(1 - E^E^2 + x)]]","A",1
6728,1,19,25,0.0310434,"\int \frac{12-17 x-e^2 x+e^x \left(x-x^2\right)}{x^3} \, dx","Integrate[(12 - 17*x - E^2*x + E^x*(x - x^2))/x^3,x]","-\frac{\left(e^x-17-e^2\right) x+6}{x^2}","\frac{2 x-e^x-\frac{x+6}{x}+e^2+18}{x}",1,"-((6 + (-17 - E^2 + E^x)*x)/x^2)","A",1
6729,1,26,28,0.2649446,"\int \frac{e^2 \left(160-10 x^2\right)+e^{-1+x} \left(-32-64 x-30 x^2-4 x^3\right)}{-3125 x^2+1875 e^{-3+x} x^2-375 e^{-6+2 x} x^2+25 e^{-9+3 x} x^2} \, dx","Integrate[(E^2*(160 - 10*x^2) + E^(-1 + x)*(-32 - 64*x - 30*x^2 - 4*x^3))/(-3125*x^2 + 1875*E^(-3 + x)*x^2 - 375*E^(-6 + 2*x)*x^2 + 25*E^(-9 + 3*x)*x^2),x]","\frac{2 e^8 (x+4)^2}{25 \left(e^x-5 e^3\right)^2 x}","\frac{2 e^2 (x+4)^2}{25 \left(5-e^{x-3}\right)^2 x}-2",1,"(2*E^8*(4 + x)^2)/(25*(-5*E^3 + E^x)^2*x)","A",1
6730,1,28,33,0.0793028,"\int \frac{15+60 e^{1-4 x}}{-100+75 e^2-75 x+\left(-40+30 e^2-30 x\right) \log (5)+\left(-4+3 e^2-3 x\right) \log ^2(5)+e^{1-4 x} \left(75+30 \log (5)+3 \log ^2(5)\right)+\left(-40+30 e^2-30 x+\left(-8+6 e^2-6 x\right) \log (5)+e^{1-4 x} (30+6 \log (5))\right) \log \left(-4+3 e^2+3 e^{1-4 x}-3 x\right)+\left(-4+3 e^2+3 e^{1-4 x}-3 x\right) \log ^2\left(-4+3 e^2+3 e^{1-4 x}-3 x\right)} \, dx","Integrate[(15 + 60*E^(1 - 4*x))/(-100 + 75*E^2 - 75*x + (-40 + 30*E^2 - 30*x)*Log[5] + (-4 + 3*E^2 - 3*x)*Log[5]^2 + E^(1 - 4*x)*(75 + 30*Log[5] + 3*Log[5]^2) + (-40 + 30*E^2 - 30*x + (-8 + 6*E^2 - 6*x)*Log[5] + E^(1 - 4*x)*(30 + 6*Log[5]))*Log[-4 + 3*E^2 + 3*E^(1 - 4*x) - 3*x] + (-4 + 3*E^2 + 3*E^(1 - 4*x) - 3*x)*Log[-4 + 3*E^2 + 3*E^(1 - 4*x) - 3*x]^2),x]","\frac{5}{\log \left(-3 x+3 e^{1-4 x}+3 e^2-4\right)+5+\log (5)}","\frac{5}{\log \left(3 \left(e^{\frac{x-4 x^2}{x}}-x+e^2\right)-4\right)+5+\log (5)}",1,"5/(5 + Log[5] + Log[-4 + 3*E^2 + 3*E^(1 - 4*x) - 3*x])","A",1
6731,1,41,21,2.8724259,"\int \frac{30 x+e^{-6+2 e^x} \left(2-64 e^x x\right)-64 \log (x)+2 \log ^2(x)+e^{-3+e^x} \left(-64+\left(4-64 e^x x\right) \log (x)\right)}{e^{-102+34 e^x}-x^{17}+34 e^{-99+33 e^x} \log (x)+17 x^{16} \log ^2(x)-136 x^{15} \log ^4(x)+680 x^{14} \log ^6(x)-2380 x^{13} \log ^8(x)+6188 x^{12} \log ^{10}(x)-12376 x^{11} \log ^{12}(x)+19448 x^{10} \log ^{14}(x)-24310 x^9 \log ^{16}(x)+24310 x^8 \log ^{18}(x)-19448 x^7 \log ^{20}(x)+12376 x^6 \log ^{22}(x)-6188 x^5 \log ^{24}(x)+2380 x^4 \log ^{26}(x)-680 x^3 \log ^{28}(x)+136 x^2 \log ^{30}(x)-17 x \log ^{32}(x)+\log ^{34}(x)+e^{-96+32 e^x} \left(-17 x+561 \log ^2(x)\right)+e^{-93+31 e^x} \left(-544 x \log (x)+5984 \log ^3(x)\right)+e^{-90+30 e^x} \left(136 x^2-8432 x \log ^2(x)+46376 \log ^4(x)\right)+e^{-87+29 e^x} \left(4080 x^2 \log (x)-84320 x \log ^3(x)+278256 \log ^5(x)\right)+e^{-84+28 e^x} \left(-680 x^3+59160 x^2 \log ^2(x)-611320 x \log ^4(x)+1344904 \log ^6(x)\right)+e^{-81+27 e^x} \left(-19040 x^3 \log (x)+552160 x^2 \log ^3(x)-3423392 x \log ^5(x)+5379616 \log ^7(x)\right)+e^{-78+26 e^x} \left(2380 x^4-257040 x^3 \log ^2(x)+3727080 x^2 \log ^4(x)-15405264 x \log ^6(x)+18156204 \log ^8(x)\right)+e^{-75+25 e^x} \left(61880 x^4 \log (x)-2227680 x^3 \log ^3(x)+19380816 x^2 \log ^5(x)-57219552 x \log ^7(x)+52451256 \log ^9(x)\right)+e^{-72+24 e^x} \left(-6188 x^5+773500 x^4 \log ^2(x)-13923000 x^3 \log ^4(x)+80753400 x^2 \log ^6(x)-178811100 x \log ^8(x)+131128140 \log ^{10}(x)\right)+e^{-69+23 e^x} \left(-148512 x^5 \log (x)+6188000 x^4 \log ^3(x)-66830400 x^3 \log ^5(x)+276868800 x^2 \log ^7(x)-476829600 x \log ^9(x)+286097760 \log ^{11}(x)\right)+e^{-66+22 e^x} \left(12376 x^6-1707888 x^5 \log ^2(x)+35581000 x^4 \log ^4(x)-256183200 x^3 \log ^6(x)+795997800 x^2 \log ^8(x)-1096708080 x \log ^{10}(x)+548354040 \log ^{12}(x)\right)+e^{-63+21 e^x} \left(272272 x^6 \log (x)-12524512 x^5 \log ^3(x)+156556400 x^4 \log ^5(x)-805147200 x^3 \log ^7(x)+1945772400 x^2 \log ^9(x)-2193416160 x \log ^{11}(x)+927983760 \log ^{13}(x)\right)+e^{-60+20 e^x} \left(-19448 x^7+2858856 x^6 \log ^2(x)-65753688 x^5 \log ^4(x)+547947400 x^4 \log ^6(x)-2113511400 x^3 \log ^8(x)+4086122040 x^2 \log ^{10}(x)-3838478280 x \log ^{12}(x)+1391975640 \log ^{14}(x)\right)+e^{-57+19 e^x} \left(-388960 x^7 \log (x)+19059040 x^6 \log ^3(x)-263014752 x^5 \log ^5(x)+1565564000 x^4 \log ^7(x)-4696692000 x^3 \log ^9(x)+7429312800 x^2 \log ^{11}(x)-5905351200 x \log ^{13}(x)+1855967520 \log ^{15}(x)\right)+e^{-54+18 e^x} \left(24310 x^8-3695120 x^7 \log ^2(x)+90530440 x^6 \log ^4(x)-832880048 x^5 \log ^6(x)+3718214500 x^4 \log ^8(x)-8923714800 x^3 \log ^{10}(x)+11763078600 x^2 \log ^{12}(x)-8014405200 x \log ^{14}(x)+2203961430 \log ^{16}(x)\right)+e^{-51+17 e^x} \left(437580 x^8 \log (x)-22170720 x^7 \log ^3(x)+325909584 x^6 \log ^5(x)-2141691552 x^5 \log ^7(x)+7436429000 x^4 \log ^9(x)-14602442400 x^3 \log ^{11}(x)+16287339600 x^2 \log ^{13}(x)-9617286240 x \log ^{15}(x)+2333606220 \log ^{17}(x)\right)+e^{-48+16 e^x} \left(-24310 x^9+3719430 x^8 \log ^2(x)-94225560 x^7 \log ^4(x)+923410488 x^6 \log ^6(x)-4551094548 x^5 \log ^8(x)+12641929300 x^4 \log ^{10}(x)-20686793400 x^3 \log ^{12}(x)+19777483800 x^2 \log ^{14}(x)-10218366630 x \log ^{16}(x)+2203961430 \log ^{18}(x)\right)+e^{-45+15 e^x} \left(-388960 x^9 \log (x)+19836960 x^8 \log ^3(x)-301521792 x^7 \log ^5(x)+2110652544 x^6 \log ^7(x)-8090834752 x^5 \log ^9(x)+18388260800 x^4 \log ^{11}(x)-25460668800 x^3 \log ^{13}(x)+21095982720 x^2 \log ^{15}(x)-9617286240 x \log ^{17}(x)+1855967520 \log ^{19}(x)\right)+e^{-42+14 e^x} \left(19448 x^{10}-2917200 x^9 \log ^2(x)+74388600 x^8 \log ^4(x)-753804480 x^7 \log ^6(x)+3957473520 x^6 \log ^8(x)-12136252128 x^5 \log ^{10}(x)+22985326000 x^4 \log ^{12}(x)-27279288000 x^3 \log ^{14}(x)+19777483800 x^2 \log ^{16}(x)-8014405200 x \log ^{18}(x)+1391975640 \log ^{20}(x)\right)+e^{-39+13 e^x} \left(272272 x^{10} \log (x)-13613600 x^9 \log ^3(x)+208288080 x^8 \log ^5(x)-1507608960 x^7 \log ^7(x)+6156069920 x^6 \log ^9(x)-15446139072 x^5 \log ^{11}(x)+24753428000 x^4 \log ^{13}(x)-25460668800 x^3 \log ^{15}(x)+16287339600 x^2 \log ^{17}(x)-5905351200 x \log ^{19}(x)+927983760 \log ^{21}(x)\right)+e^{-36+12 e^x} \left(-12376 x^{11}+1769768 x^{10} \log ^2(x)-44244200 x^9 \log ^4(x)+451290840 x^8 \log ^6(x)-2449864560 x^7 \log ^8(x)+8002890896 x^6 \log ^{10}(x)-16733317328 x^5 \log ^{12}(x)+22985326000 x^4 \log ^{14}(x)-20686793400 x^3 \log ^{16}(x)+11763078600 x^2 \log ^{18}(x)-3838478280 x \log ^{20}(x)+548354040 \log ^{22}(x)\right)+e^{-33+11 e^x} \left(-148512 x^{11} \log (x)+7079072 x^{10} \log ^3(x)-106186080 x^9 \log ^5(x)+773641440 x^8 \log ^7(x)-3266486080 x^7 \log ^9(x)+8730426432 x^6 \log ^{11}(x)-15446139072 x^5 \log ^{13}(x)+18388260800 x^4 \log ^{15}(x)-14602442400 x^3 \log ^{17}(x)+7429312800 x^2 \log ^{19}(x)-2193416160 x \log ^{21}(x)+286097760 \log ^{23}(x)\right)+e^{-30+10 e^x} \left(6188 x^{12}-816816 x^{11} \log ^2(x)+19467448 x^{10} \log ^4(x)-194674480 x^9 \log ^6(x)+1063756980 x^8 \log ^8(x)-3593134688 x^7 \log ^{10}(x)+8002890896 x^6 \log ^{12}(x)-12136252128 x^5 \log ^{14}(x)+12641929300 x^4 \log ^{16}(x)-8923714800 x^3 \log ^{18}(x)+4086122040 x^2 \log ^{20}(x)-1096708080 x \log ^{22}(x)+131128140 \log ^{24}(x)\right)+e^{-27+9 e^x} \left(61880 x^{12} \log (x)-2722720 x^{11} \log ^3(x)+38934896 x^{10} \log ^5(x)-278106400 x^9 \log ^7(x)+1181952200 x^8 \log ^9(x)-3266486080 x^7 \log ^{11}(x)+6156069920 x^6 \log ^{13}(x)-8090834752 x^5 \log ^{15}(x)+7436429000 x^4 \log ^{17}(x)-4696692000 x^3 \log ^{19}(x)+1945772400 x^2 \log ^{21}(x)-476829600 x \log ^{23}(x)+52451256 \log ^{25}(x)\right)+e^{-24+8 e^x} \left(-2380 x^{13}+278460 x^{12} \log ^2(x)-6126120 x^{11} \log ^4(x)+58402344 x^{10} \log ^6(x)-312869700 x^9 \log ^8(x)+1063756980 x^8 \log ^{10}(x)-2449864560 x^7 \log ^{12}(x)+3957473520 x^6 \log ^{14}(x)-4551094548 x^5 \log ^{16}(x)+3718214500 x^4 \log ^{18}(x)-2113511400 x^3 \log ^{20}(x)+795997800 x^2 \log ^{22}(x)-178811100 x \log ^{24}(x)+18156204 \log ^{26}(x)\right)+e^{-21+7 e^x} \left(-19040 x^{13} \log (x)+742560 x^{12} \log ^3(x)-9801792 x^{11} \log ^5(x)+66745536 x^{10} \log ^7(x)-278106400 x^9 \log ^9(x)+773641440 x^8 \log ^{11}(x)-1507608960 x^7 \log ^{13}(x)+2110652544 x^6 \log ^{15}(x)-2141691552 x^5 \log ^{17}(x)+1565564000 x^4 \log ^{19}(x)-805147200 x^3 \log ^{21}(x)+276868800 x^2 \log ^{23}(x)-57219552 x \log ^{25}(x)+5379616 \log ^{27}(x)\right)+e^{-18+6 e^x} \left(680 x^{14}-66640 x^{13} \log ^2(x)+1299480 x^{12} \log ^4(x)-11435424 x^{11} \log ^6(x)+58402344 x^{10} \log ^8(x)-194674480 x^9 \log ^{10}(x)+451290840 x^8 \log ^{12}(x)-753804480 x^7 \log ^{14}(x)+923410488 x^6 \log ^{16}(x)-832880048 x^5 \log ^{18}(x)+547947400 x^4 \log ^{20}(x)-256183200 x^3 \log ^{22}(x)+80753400 x^2 \log ^{24}(x)-15405264 x \log ^{26}(x)+1344904 \log ^{28}(x)\right)+e^{-15+5 e^x} \left(4080 x^{14} \log (x)-133280 x^{13} \log ^3(x)+1559376 x^{12} \log ^5(x)-9801792 x^{11} \log ^7(x)+38934896 x^{10} \log ^9(x)-106186080 x^9 \log ^{11}(x)+208288080 x^8 \log ^{13}(x)-301521792 x^7 \log ^{15}(x)+325909584 x^6 \log ^{17}(x)-263014752 x^5 \log ^{19}(x)+156556400 x^4 \log ^{21}(x)-66830400 x^3 \log ^{23}(x)+19380816 x^2 \log ^{25}(x)-3423392 x \log ^{27}(x)+278256 \log ^{29}(x)\right)+e^{-12+4 e^x} \left(-136 x^{15}+10200 x^{14} \log ^2(x)-166600 x^{13} \log ^4(x)+1299480 x^{12} \log ^6(x)-6126120 x^{11} \log ^8(x)+19467448 x^{10} \log ^{10}(x)-44244200 x^9 \log ^{12}(x)+74388600 x^8 \log ^{14}(x)-94225560 x^7 \log ^{16}(x)+90530440 x^6 \log ^{18}(x)-65753688 x^5 \log ^{20}(x)+35581000 x^4 \log ^{22}(x)-13923000 x^3 \log ^{24}(x)+3727080 x^2 \log ^{26}(x)-611320 x \log ^{28}(x)+46376 \log ^{30}(x)\right)+e^{-9+3 e^x} \left(-544 x^{15} \log (x)+13600 x^{14} \log ^3(x)-133280 x^{13} \log ^5(x)+742560 x^{12} \log ^7(x)-2722720 x^{11} \log ^9(x)+7079072 x^{10} \log ^{11}(x)-13613600 x^9 \log ^{13}(x)+19836960 x^8 \log ^{15}(x)-22170720 x^7 \log ^{17}(x)+19059040 x^6 \log ^{19}(x)-12524512 x^5 \log ^{21}(x)+6188000 x^4 \log ^{23}(x)-2227680 x^3 \log ^{25}(x)+552160 x^2 \log ^{27}(x)-84320 x \log ^{29}(x)+5984 \log ^{31}(x)\right)+e^{-6+2 e^x} \left(17 x^{16}-816 x^{15} \log ^2(x)+10200 x^{14} \log ^4(x)-66640 x^{13} \log ^6(x)+278460 x^{12} \log ^8(x)-816816 x^{11} \log ^{10}(x)+1769768 x^{10} \log ^{12}(x)-2917200 x^9 \log ^{14}(x)+3719430 x^8 \log ^{16}(x)-3695120 x^7 \log ^{18}(x)+2858856 x^6 \log ^{20}(x)-1707888 x^5 \log ^{22}(x)+773500 x^4 \log ^{24}(x)-257040 x^3 \log ^{26}(x)+59160 x^2 \log ^{28}(x)-8432 x \log ^{30}(x)+561 \log ^{32}(x)\right)+e^{-3+e^x} \left(34 x^{16} \log (x)-544 x^{15} \log ^3(x)+4080 x^{14} \log ^5(x)-19040 x^{13} \log ^7(x)+61880 x^{12} \log ^9(x)-148512 x^{11} \log ^{11}(x)+272272 x^{10} \log ^{13}(x)-388960 x^9 \log ^{15}(x)+437580 x^8 \log ^{17}(x)-388960 x^7 \log ^{19}(x)+272272 x^6 \log ^{21}(x)-148512 x^5 \log ^{23}(x)+61880 x^4 \log ^{25}(x)-19040 x^3 \log ^{27}(x)+4080 x^2 \log ^{29}(x)-544 x \log ^{31}(x)+34 \log ^{33}(x)\right)} \, dx","Integrate[(30*x + E^(-6 + 2*E^x)*(2 - 64*E^x*x) - 64*Log[x] + 2*Log[x]^2 + E^(-3 + E^x)*(-64 + (4 - 64*E^x*x)*Log[x]))/(E^(-102 + 34*E^x) - x^17 + 34*E^(-99 + 33*E^x)*Log[x] + 17*x^16*Log[x]^2 - 136*x^15*Log[x]^4 + 680*x^14*Log[x]^6 - 2380*x^13*Log[x]^8 + 6188*x^12*Log[x]^10 - 12376*x^11*Log[x]^12 + 19448*x^10*Log[x]^14 - 24310*x^9*Log[x]^16 + 24310*x^8*Log[x]^18 - 19448*x^7*Log[x]^20 + 12376*x^6*Log[x]^22 - 6188*x^5*Log[x]^24 + 2380*x^4*Log[x]^26 - 680*x^3*Log[x]^28 + 136*x^2*Log[x]^30 - 17*x*Log[x]^32 + Log[x]^34 + E^(-96 + 32*E^x)*(-17*x + 561*Log[x]^2) + E^(-93 + 31*E^x)*(-544*x*Log[x] + 5984*Log[x]^3) + E^(-90 + 30*E^x)*(136*x^2 - 8432*x*Log[x]^2 + 46376*Log[x]^4) + E^(-87 + 29*E^x)*(4080*x^2*Log[x] - 84320*x*Log[x]^3 + 278256*Log[x]^5) + E^(-84 + 28*E^x)*(-680*x^3 + 59160*x^2*Log[x]^2 - 611320*x*Log[x]^4 + 1344904*Log[x]^6) + E^(-81 + 27*E^x)*(-19040*x^3*Log[x] + 552160*x^2*Log[x]^3 - 3423392*x*Log[x]^5 + 5379616*Log[x]^7) + E^(-78 + 26*E^x)*(2380*x^4 - 257040*x^3*Log[x]^2 + 3727080*x^2*Log[x]^4 - 15405264*x*Log[x]^6 + 18156204*Log[x]^8) + E^(-75 + 25*E^x)*(61880*x^4*Log[x] - 2227680*x^3*Log[x]^3 + 19380816*x^2*Log[x]^5 - 57219552*x*Log[x]^7 + 52451256*Log[x]^9) + E^(-72 + 24*E^x)*(-6188*x^5 + 773500*x^4*Log[x]^2 - 13923000*x^3*Log[x]^4 + 80753400*x^2*Log[x]^6 - 178811100*x*Log[x]^8 + 131128140*Log[x]^10) + E^(-69 + 23*E^x)*(-148512*x^5*Log[x] + 6188000*x^4*Log[x]^3 - 66830400*x^3*Log[x]^5 + 276868800*x^2*Log[x]^7 - 476829600*x*Log[x]^9 + 286097760*Log[x]^11) + E^(-66 + 22*E^x)*(12376*x^6 - 1707888*x^5*Log[x]^2 + 35581000*x^4*Log[x]^4 - 256183200*x^3*Log[x]^6 + 795997800*x^2*Log[x]^8 - 1096708080*x*Log[x]^10 + 548354040*Log[x]^12) + E^(-63 + 21*E^x)*(272272*x^6*Log[x] - 12524512*x^5*Log[x]^3 + 156556400*x^4*Log[x]^5 - 805147200*x^3*Log[x]^7 + 1945772400*x^2*Log[x]^9 - 2193416160*x*Log[x]^11 + 927983760*Log[x]^13) + E^(-60 + 20*E^x)*(-19448*x^7 + 2858856*x^6*Log[x]^2 - 65753688*x^5*Log[x]^4 + 547947400*x^4*Log[x]^6 - 2113511400*x^3*Log[x]^8 + 4086122040*x^2*Log[x]^10 - 3838478280*x*Log[x]^12 + 1391975640*Log[x]^14) + E^(-57 + 19*E^x)*(-388960*x^7*Log[x] + 19059040*x^6*Log[x]^3 - 263014752*x^5*Log[x]^5 + 1565564000*x^4*Log[x]^7 - 4696692000*x^3*Log[x]^9 + 7429312800*x^2*Log[x]^11 - 5905351200*x*Log[x]^13 + 1855967520*Log[x]^15) + E^(-54 + 18*E^x)*(24310*x^8 - 3695120*x^7*Log[x]^2 + 90530440*x^6*Log[x]^4 - 832880048*x^5*Log[x]^6 + 3718214500*x^4*Log[x]^8 - 8923714800*x^3*Log[x]^10 + 11763078600*x^2*Log[x]^12 - 8014405200*x*Log[x]^14 + 2203961430*Log[x]^16) + E^(-51 + 17*E^x)*(437580*x^8*Log[x] - 22170720*x^7*Log[x]^3 + 325909584*x^6*Log[x]^5 - 2141691552*x^5*Log[x]^7 + 7436429000*x^4*Log[x]^9 - 14602442400*x^3*Log[x]^11 + 16287339600*x^2*Log[x]^13 - 9617286240*x*Log[x]^15 + 2333606220*Log[x]^17) + E^(-48 + 16*E^x)*(-24310*x^9 + 3719430*x^8*Log[x]^2 - 94225560*x^7*Log[x]^4 + 923410488*x^6*Log[x]^6 - 4551094548*x^5*Log[x]^8 + 12641929300*x^4*Log[x]^10 - 20686793400*x^3*Log[x]^12 + 19777483800*x^2*Log[x]^14 - 10218366630*x*Log[x]^16 + 2203961430*Log[x]^18) + E^(-45 + 15*E^x)*(-388960*x^9*Log[x] + 19836960*x^8*Log[x]^3 - 301521792*x^7*Log[x]^5 + 2110652544*x^6*Log[x]^7 - 8090834752*x^5*Log[x]^9 + 18388260800*x^4*Log[x]^11 - 25460668800*x^3*Log[x]^13 + 21095982720*x^2*Log[x]^15 - 9617286240*x*Log[x]^17 + 1855967520*Log[x]^19) + E^(-42 + 14*E^x)*(19448*x^10 - 2917200*x^9*Log[x]^2 + 74388600*x^8*Log[x]^4 - 753804480*x^7*Log[x]^6 + 3957473520*x^6*Log[x]^8 - 12136252128*x^5*Log[x]^10 + 22985326000*x^4*Log[x]^12 - 27279288000*x^3*Log[x]^14 + 19777483800*x^2*Log[x]^16 - 8014405200*x*Log[x]^18 + 1391975640*Log[x]^20) + E^(-39 + 13*E^x)*(272272*x^10*Log[x] - 13613600*x^9*Log[x]^3 + 208288080*x^8*Log[x]^5 - 1507608960*x^7*Log[x]^7 + 6156069920*x^6*Log[x]^9 - 15446139072*x^5*Log[x]^11 + 24753428000*x^4*Log[x]^13 - 25460668800*x^3*Log[x]^15 + 16287339600*x^2*Log[x]^17 - 5905351200*x*Log[x]^19 + 927983760*Log[x]^21) + E^(-36 + 12*E^x)*(-12376*x^11 + 1769768*x^10*Log[x]^2 - 44244200*x^9*Log[x]^4 + 451290840*x^8*Log[x]^6 - 2449864560*x^7*Log[x]^8 + 8002890896*x^6*Log[x]^10 - 16733317328*x^5*Log[x]^12 + 22985326000*x^4*Log[x]^14 - 20686793400*x^3*Log[x]^16 + 11763078600*x^2*Log[x]^18 - 3838478280*x*Log[x]^20 + 548354040*Log[x]^22) + E^(-33 + 11*E^x)*(-148512*x^11*Log[x] + 7079072*x^10*Log[x]^3 - 106186080*x^9*Log[x]^5 + 773641440*x^8*Log[x]^7 - 3266486080*x^7*Log[x]^9 + 8730426432*x^6*Log[x]^11 - 15446139072*x^5*Log[x]^13 + 18388260800*x^4*Log[x]^15 - 14602442400*x^3*Log[x]^17 + 7429312800*x^2*Log[x]^19 - 2193416160*x*Log[x]^21 + 286097760*Log[x]^23) + E^(-30 + 10*E^x)*(6188*x^12 - 816816*x^11*Log[x]^2 + 19467448*x^10*Log[x]^4 - 194674480*x^9*Log[x]^6 + 1063756980*x^8*Log[x]^8 - 3593134688*x^7*Log[x]^10 + 8002890896*x^6*Log[x]^12 - 12136252128*x^5*Log[x]^14 + 12641929300*x^4*Log[x]^16 - 8923714800*x^3*Log[x]^18 + 4086122040*x^2*Log[x]^20 - 1096708080*x*Log[x]^22 + 131128140*Log[x]^24) + E^(-27 + 9*E^x)*(61880*x^12*Log[x] - 2722720*x^11*Log[x]^3 + 38934896*x^10*Log[x]^5 - 278106400*x^9*Log[x]^7 + 1181952200*x^8*Log[x]^9 - 3266486080*x^7*Log[x]^11 + 6156069920*x^6*Log[x]^13 - 8090834752*x^5*Log[x]^15 + 7436429000*x^4*Log[x]^17 - 4696692000*x^3*Log[x]^19 + 1945772400*x^2*Log[x]^21 - 476829600*x*Log[x]^23 + 52451256*Log[x]^25) + E^(-24 + 8*E^x)*(-2380*x^13 + 278460*x^12*Log[x]^2 - 6126120*x^11*Log[x]^4 + 58402344*x^10*Log[x]^6 - 312869700*x^9*Log[x]^8 + 1063756980*x^8*Log[x]^10 - 2449864560*x^7*Log[x]^12 + 3957473520*x^6*Log[x]^14 - 4551094548*x^5*Log[x]^16 + 3718214500*x^4*Log[x]^18 - 2113511400*x^3*Log[x]^20 + 795997800*x^2*Log[x]^22 - 178811100*x*Log[x]^24 + 18156204*Log[x]^26) + E^(-21 + 7*E^x)*(-19040*x^13*Log[x] + 742560*x^12*Log[x]^3 - 9801792*x^11*Log[x]^5 + 66745536*x^10*Log[x]^7 - 278106400*x^9*Log[x]^9 + 773641440*x^8*Log[x]^11 - 1507608960*x^7*Log[x]^13 + 2110652544*x^6*Log[x]^15 - 2141691552*x^5*Log[x]^17 + 1565564000*x^4*Log[x]^19 - 805147200*x^3*Log[x]^21 + 276868800*x^2*Log[x]^23 - 57219552*x*Log[x]^25 + 5379616*Log[x]^27) + E^(-18 + 6*E^x)*(680*x^14 - 66640*x^13*Log[x]^2 + 1299480*x^12*Log[x]^4 - 11435424*x^11*Log[x]^6 + 58402344*x^10*Log[x]^8 - 194674480*x^9*Log[x]^10 + 451290840*x^8*Log[x]^12 - 753804480*x^7*Log[x]^14 + 923410488*x^6*Log[x]^16 - 832880048*x^5*Log[x]^18 + 547947400*x^4*Log[x]^20 - 256183200*x^3*Log[x]^22 + 80753400*x^2*Log[x]^24 - 15405264*x*Log[x]^26 + 1344904*Log[x]^28) + E^(-15 + 5*E^x)*(4080*x^14*Log[x] - 133280*x^13*Log[x]^3 + 1559376*x^12*Log[x]^5 - 9801792*x^11*Log[x]^7 + 38934896*x^10*Log[x]^9 - 106186080*x^9*Log[x]^11 + 208288080*x^8*Log[x]^13 - 301521792*x^7*Log[x]^15 + 325909584*x^6*Log[x]^17 - 263014752*x^5*Log[x]^19 + 156556400*x^4*Log[x]^21 - 66830400*x^3*Log[x]^23 + 19380816*x^2*Log[x]^25 - 3423392*x*Log[x]^27 + 278256*Log[x]^29) + E^(-12 + 4*E^x)*(-136*x^15 + 10200*x^14*Log[x]^2 - 166600*x^13*Log[x]^4 + 1299480*x^12*Log[x]^6 - 6126120*x^11*Log[x]^8 + 19467448*x^10*Log[x]^10 - 44244200*x^9*Log[x]^12 + 74388600*x^8*Log[x]^14 - 94225560*x^7*Log[x]^16 + 90530440*x^6*Log[x]^18 - 65753688*x^5*Log[x]^20 + 35581000*x^4*Log[x]^22 - 13923000*x^3*Log[x]^24 + 3727080*x^2*Log[x]^26 - 611320*x*Log[x]^28 + 46376*Log[x]^30) + E^(-9 + 3*E^x)*(-544*x^15*Log[x] + 13600*x^14*Log[x]^3 - 133280*x^13*Log[x]^5 + 742560*x^12*Log[x]^7 - 2722720*x^11*Log[x]^9 + 7079072*x^10*Log[x]^11 - 13613600*x^9*Log[x]^13 + 19836960*x^8*Log[x]^15 - 22170720*x^7*Log[x]^17 + 19059040*x^6*Log[x]^19 - 12524512*x^5*Log[x]^21 + 6188000*x^4*Log[x]^23 - 2227680*x^3*Log[x]^25 + 552160*x^2*Log[x]^27 - 84320*x*Log[x]^29 + 5984*Log[x]^31) + E^(-6 + 2*E^x)*(17*x^16 - 816*x^15*Log[x]^2 + 10200*x^14*Log[x]^4 - 66640*x^13*Log[x]^6 + 278460*x^12*Log[x]^8 - 816816*x^11*Log[x]^10 + 1769768*x^10*Log[x]^12 - 2917200*x^9*Log[x]^14 + 3719430*x^8*Log[x]^16 - 3695120*x^7*Log[x]^18 + 2858856*x^6*Log[x]^20 - 1707888*x^5*Log[x]^22 + 773500*x^4*Log[x]^24 - 257040*x^3*Log[x]^26 + 59160*x^2*Log[x]^28 - 8432*x*Log[x]^30 + 561*Log[x]^32) + E^(-3 + E^x)*(34*x^16*Log[x] - 544*x^15*Log[x]^3 + 4080*x^14*Log[x]^5 - 19040*x^13*Log[x]^7 + 61880*x^12*Log[x]^9 - 148512*x^11*Log[x]^11 + 272272*x^10*Log[x]^13 - 388960*x^9*Log[x]^15 + 437580*x^8*Log[x]^17 - 388960*x^7*Log[x]^19 + 272272*x^6*Log[x]^21 - 148512*x^5*Log[x]^23 + 61880*x^4*Log[x]^25 - 19040*x^3*Log[x]^27 + 4080*x^2*Log[x]^29 - 544*x*Log[x]^31 + 34*Log[x]^33)),x]","\frac{2 e^{96} x}{\left(e^{2 e^x}-e^6 x+e^6 \log ^2(x)+2 e^{e^x+3} \log (x)\right)^{16}}","\frac{2 x}{\left(\left(e^{e^x-3}+\log (x)\right)^2-x\right)^{16}}",1,"(2*E^96*x)/(E^(2*E^x) - E^6*x + 2*E^(3 + E^x)*Log[x] + E^6*Log[x]^2)^16","A",1
6732,1,15,18,0.0022669,"\int -\frac{4}{\left(1+2 x+x^2\right) \log (\log (5 \log (6)))} \, dx","Integrate[-4/((1 + 2*x + x^2)*Log[Log[5*Log[6]]]),x]","\frac{4}{(x+1) \log (\log (5 \log (6)))}","\frac{4 x}{\left(x^2+x\right) \log (\log (5 \log (6)))}",1,"4/((1 + x)*Log[Log[5*Log[6]]])","A",1
6733,1,17,17,0.0014851,"\int \left(-3+2 x+\log \left(\frac{9}{4 x^2}\right)\right) \, dx","Integrate[-3 + 2*x + Log[9/(4*x^2)],x]","x^2+x \log \left(\frac{9}{4 x^2}\right)-x","x \left(\log \left(\frac{9}{4 x^2}\right)+x\right)-x-1",1,"-x + x^2 + x*Log[9/(4*x^2)]","A",1
6734,1,62,27,0.2822586,"\int \frac{-16 x^2+16 x^3+\left(12 x^2+4 x^3\right) \log (x \log (4))+8 x^2 \log ^2(x \log (4))+\left(-2+4 x+x^2-4 x^3+2 x^4\right) \log ^3(x \log (4))}{\left(-2 x+6 x^2-6 x^3+2 x^4\right) \log ^3(x \log (4))} \, dx","Integrate[(-16*x^2 + 16*x^3 + (12*x^2 + 4*x^3)*Log[x*Log[4]] + 8*x^2*Log[x*Log[4]]^2 + (-2 + 4*x + x^2 - 4*x^3 + 2*x^4)*Log[x*Log[4]]^3)/((-2*x + 6*x^2 - 6*x^3 + 2*x^4)*Log[x*Log[4]]^3),x]","\frac{1}{2} \left(-\frac{8 x^2}{(x-1)^2 \log ^2(x \log (4))}-\frac{4 x^2}{(x-1)^2 \log (x \log (4))}+2 x-\frac{1}{x-1}-\frac{1}{2 (x-1)^2}+2 \log (x)\right)","x-\frac{\left(x+\frac{4 x}{\log (x \log (4))}\right)^2}{4 (x-1)^2}+\log (x)",1,"(-1/2*1/(-1 + x)^2 - (-1 + x)^(-1) + 2*x + 2*Log[x] - (8*x^2)/((-1 + x)^2*Log[x*Log[4]]^2) - (4*x^2)/((-1 + x)^2*Log[x*Log[4]]))/2","B",1
6735,1,18,22,0.0582525,"\int \frac{1}{5} e^{-6 x/5} \left(-75-18 x+e^{2 x} (25+4 x)\right) \, dx","Integrate[(-75 - 18*x + E^(2*x)*(25 + 4*x))/(5*E^((6*x)/5)),x]","e^{-6 x/5} \left(e^{2 x}+3\right) (x+5)","e^{-x/5} \left(3 e^{-x}+e^x\right) (x+5)",1,"((3 + E^(2*x))*(5 + x))/E^((6*x)/5)","A",1
6736,1,32,34,0.1337263,"\int \frac{-4 x^9+8 x^9 \log (x)+\left(4 x^5+8 x^7\right) \log ^2(x)-12 x^7 \log ^3(x)+\left(-4 x^3-4 x^5\right) \log ^4(x)+4 x^5 \log ^5(x)+\left(-4 x^7+8 x^7 \log (x)+4 x^5 \log ^2(x)-12 x^5 \log ^3(x)+4 x^3 \log ^5(x)\right) \log \left(x^2\right)+\left(-6 x^7 \log (x)+12 x^7 \log ^2(x)+\left(4 x^3+6 x^5\right) \log ^3(x)-8 x^5 \log ^4(x)+\left(-6 x^5 \log (x)+12 x^5 \log ^2(x)+2 x^3 \log ^3(x)-8 x^3 \log ^4(x)\right) \log \left(x^2\right)\right) \log \left(x^2+\log \left(x^2\right)\right)+\left(-2 x^5 \log ^2(x)+4 x^5 \log ^3(x)+\left(-2 x^3 \log ^2(x)+4 x^3 \log ^3(x)\right) \log \left(x^2\right)\right) \log ^2\left(x^2+\log \left(x^2\right)\right)}{x^2 \log ^5(x)+\log ^5(x) \log \left(x^2\right)} \, dx","Integrate[(-4*x^9 + 8*x^9*Log[x] + (4*x^5 + 8*x^7)*Log[x]^2 - 12*x^7*Log[x]^3 + (-4*x^3 - 4*x^5)*Log[x]^4 + 4*x^5*Log[x]^5 + (-4*x^7 + 8*x^7*Log[x] + 4*x^5*Log[x]^2 - 12*x^5*Log[x]^3 + 4*x^3*Log[x]^5)*Log[x^2] + (-6*x^7*Log[x] + 12*x^7*Log[x]^2 + (4*x^3 + 6*x^5)*Log[x]^3 - 8*x^5*Log[x]^4 + (-6*x^5*Log[x] + 12*x^5*Log[x]^2 + 2*x^3*Log[x]^3 - 8*x^3*Log[x]^4)*Log[x^2])*Log[x^2 + Log[x^2]] + (-2*x^5*Log[x]^2 + 4*x^5*Log[x]^3 + (-2*x^3*Log[x]^2 + 4*x^3*Log[x]^3)*Log[x^2])*Log[x^2 + Log[x^2]]^2)/(x^2*Log[x]^5 + Log[x]^5*Log[x^2]),x]","\frac{x^4 \left(x^2+\log (x) \log \left(x^2+\log \left(x^2\right)\right)-\log ^2(x)\right)^2}{\log ^4(x)}","x^2 \left(\frac{x \left(\frac{x^2}{\log (x)}+\log \left(x^2+\log \left(x^2\right)\right)\right)}{\log (x)}-x\right)^2",1,"(x^4*(x^2 - Log[x]^2 + Log[x]*Log[x^2 + Log[x^2]])^2)/Log[x]^4","A",1
6737,1,32,26,0.0712471,"\int \frac{201326592 e^{-1+4 e^{-1+3 x}+3 x}+64 x^3-256 e^3 x^3+384 e^6 x^3-256 e^9 x^3+64 e^{12} x^3+e^{3 e^{-1+3 x}} \left(2097152-2097152 e^3+e^{-1+3 x} \left(18874368 x-18874368 e^3 x\right)\right)+e^{2 e^{-1+3 x}} \left(196608 x-393216 e^3 x+196608 e^6 x+e^{-1+3 x} \left(589824 x^2-1179648 e^3 x^2+589824 e^6 x^2\right)\right)+e^{e^{-1+3 x}} \left(6144 x^2-18432 e^3 x^2+18432 e^6 x^2-6144 e^9 x^2+e^{-1+3 x} \left(6144 x^3-18432 e^3 x^3+18432 e^6 x^3-6144 e^9 x^3\right)\right)}{1-4 e^3+6 e^6-4 e^9+e^{12}} \, dx","Integrate[(201326592*E^(-1 + 4*E^(-1 + 3*x) + 3*x) + 64*x^3 - 256*E^3*x^3 + 384*E^6*x^3 - 256*E^9*x^3 + 64*E^12*x^3 + E^(3*E^(-1 + 3*x))*(2097152 - 2097152*E^3 + E^(-1 + 3*x)*(18874368*x - 18874368*E^3*x)) + E^(2*E^(-1 + 3*x))*(196608*x - 393216*E^3*x + 196608*E^6*x + E^(-1 + 3*x)*(589824*x^2 - 1179648*E^3*x^2 + 589824*E^6*x^2)) + E^E^(-1 + 3*x)*(6144*x^2 - 18432*E^3*x^2 + 18432*E^6*x^2 - 6144*E^9*x^2 + E^(-1 + 3*x)*(6144*x^3 - 18432*E^3*x^3 + 18432*E^6*x^3 - 6144*E^9*x^3)))/(1 - 4*E^3 + 6*E^6 - 4*E^9 + E^12),x]","\frac{16 \left(\left(1-e^3\right) x+32 e^{e^{3 x-1}}\right)^4}{\left(e^3-1\right)^4}","\left(2 x+\frac{64 e^{e^{3 x-1}}}{1-e^3}\right)^4",1,"(16*(32*E^E^(-1 + 3*x) + (1 - E^3)*x)^4)/(-1 + E^3)^4","A",1
6738,0,0,31,0.1841159,"\int \frac{-1+4 x-2 x^2+\left(-6 x+6 x^2+8 x^3-4 x^4\right) \log (3)+\left(-1+x+\left(-3 x+2 x^3\right) \log (3)\right) \log \left(x-x^2+\left(3 x^2-2 x^4\right) \log (3)\right)}{\left(x^2-x^3+\left(3 x^3-2 x^5\right) \log (3)+\left(-x+x^2+\left(-3 x^2+2 x^4\right) \log (3)\right) \log \left(x-x^2+\left(3 x^2-2 x^4\right) \log (3)\right)\right) \log \left(x^2-x \log \left(x-x^2+\left(3 x^2-2 x^4\right) \log (3)\right)\right)} \, dx","Integrate[(-1 + 4*x - 2*x^2 + (-6*x + 6*x^2 + 8*x^3 - 4*x^4)*Log[3] + (-1 + x + (-3*x + 2*x^3)*Log[3])*Log[x - x^2 + (3*x^2 - 2*x^4)*Log[3]])/((x^2 - x^3 + (3*x^3 - 2*x^5)*Log[3] + (-x + x^2 + (-3*x^2 + 2*x^4)*Log[3])*Log[x - x^2 + (3*x^2 - 2*x^4)*Log[3]])*Log[x^2 - x*Log[x - x^2 + (3*x^2 - 2*x^4)*Log[3]]]),x]","\int \frac{-1+4 x-2 x^2+\left(-6 x+6 x^2+8 x^3-4 x^4\right) \log (3)+\left(-1+x+\left(-3 x+2 x^3\right) \log (3)\right) \log \left(x-x^2+\left(3 x^2-2 x^4\right) \log (3)\right)}{\left(x^2-x^3+\left(3 x^3-2 x^5\right) \log (3)+\left(-x+x^2+\left(-3 x^2+2 x^4\right) \log (3)\right) \log \left(x-x^2+\left(3 x^2-2 x^4\right) \log (3)\right)\right) \log \left(x^2-x \log \left(x-x^2+\left(3 x^2-2 x^4\right) \log (3)\right)\right)} \, dx","\log \left(\log \left(x \left(x-\log \left(x-x \left(\left(2 x-\frac{3}{x}\right) x^2 \log (3)+x\right)\right)\right)\right)\right)",1,"Integrate[(-1 + 4*x - 2*x^2 + (-6*x + 6*x^2 + 8*x^3 - 4*x^4)*Log[3] + (-1 + x + (-3*x + 2*x^3)*Log[3])*Log[x - x^2 + (3*x^2 - 2*x^4)*Log[3]])/((x^2 - x^3 + (3*x^3 - 2*x^5)*Log[3] + (-x + x^2 + (-3*x^2 + 2*x^4)*Log[3])*Log[x - x^2 + (3*x^2 - 2*x^4)*Log[3]])*Log[x^2 - x*Log[x - x^2 + (3*x^2 - 2*x^4)*Log[3]]]), x]","F",-1
6739,1,31,35,0.0310145,"\int \frac{108-180 x+180 x^2-84 x^3+12 x^4+e^5 \left(-36+72 x-60 x^2+24 x^3-4 x^4\right)+e^5 \left(18-36 x+30 x^2-12 x^3+2 x^4\right) \log (2)}{27 x-54 x^2+45 x^3-18 x^4+3 x^5} \, dx","Integrate[(108 - 180*x + 180*x^2 - 84*x^3 + 12*x^4 + E^5*(-36 + 72*x - 60*x^2 + 24*x^3 - 4*x^4) + E^5*(18 - 36*x + 30*x^2 - 12*x^3 + 2*x^4)*Log[2])/(27*x - 54*x^2 + 45*x^3 - 18*x^4 + 3*x^5),x]","\frac{2}{3} \left(\frac{6 x}{x^2-3 x+3}+\left(6+e^5 (\log (2)-2)\right) \log (x)\right)","\left(2-\frac{1}{3} e^5 (2-\log (2))\right) \log \left(x^2\right)+\frac{4}{x+\frac{x+3}{x}-4}",1,"(2*((6*x)/(3 - 3*x + x^2) + (6 + E^5*(-2 + Log[2]))*Log[x]))/3","A",1
6740,1,25,26,1.0287886,"\int e^{-e^{x^3}} \left(e^{20 e^{400-e^{x^3}-39 x+x^2}} \left(-120 e^{400-39 x+x^2+x^3} x^2+e^{400-39 x+x^2} (-1560+80 x)\right)+e^{40 e^{400-e^{x^3}-39 x+x^2}} \left(-120 e^{400-39 x+x^2+x^3} x^2+e^{400-39 x+x^2} (-1560+80 x)\right)\right) \, dx","Integrate[(E^(20*E^(400 - E^x^3 - 39*x + x^2))*(-120*E^(400 - 39*x + x^2 + x^3)*x^2 + E^(400 - 39*x + x^2)*(-1560 + 80*x)) + E^(40*E^(400 - E^x^3 - 39*x + x^2))*(-120*E^(400 - 39*x + x^2 + x^3)*x^2 + E^(400 - 39*x + x^2)*(-1560 + 80*x)))/E^E^x^3,x]","\left(e^{20 e^{-e^{x^3}+x^2-39 x+400}}+1\right)^2","\left(e^{20 e^{-e^{x^3}+(20-x)^2+x}}+1\right)^2",1,"(1 + E^(20*E^(400 - E^x^3 - 39*x + x^2)))^2","A",1
6741,0,0,30,3.067852,"\int \frac{e^{x^4 \log ^2\left(\frac{\sqrt[5]{\frac{1}{x}}+x^2-x^3}{-x+x^2}\right)} \left(\left(-10 x^5+20 x^6-10 x^7+\sqrt[5]{\frac{1}{x}} \left(12 x^3-22 x^4\right)\right) \log \left(\frac{\sqrt[5]{\frac{1}{x}}+x^2-x^3}{-x+x^2}\right)+\left(-20 x^5+40 x^6-20 x^7+\sqrt[5]{\frac{1}{x}} \left(-20 x^3+20 x^4\right)\right) \log ^2\left(\frac{\sqrt[5]{\frac{1}{x}}+x^2-x^3}{-x+x^2}\right)\right)}{-5 x^2+10 x^3-5 x^4+\sqrt[5]{\frac{1}{x}} (-5+5 x)} \, dx","Integrate[(E^(x^4*Log[((x^(-1))^(1/5) + x^2 - x^3)/(-x + x^2)]^2)*((-10*x^5 + 20*x^6 - 10*x^7 + (x^(-1))^(1/5)*(12*x^3 - 22*x^4))*Log[((x^(-1))^(1/5) + x^2 - x^3)/(-x + x^2)] + (-20*x^5 + 40*x^6 - 20*x^7 + (x^(-1))^(1/5)*(-20*x^3 + 20*x^4))*Log[((x^(-1))^(1/5) + x^2 - x^3)/(-x + x^2)]^2))/(-5*x^2 + 10*x^3 - 5*x^4 + (x^(-1))^(1/5)*(-5 + 5*x)),x]","\int \frac{e^{x^4 \log ^2\left(\frac{\sqrt[5]{\frac{1}{x}}+x^2-x^3}{-x+x^2}\right)} \left(\left(-10 x^5+20 x^6-10 x^7+\sqrt[5]{\frac{1}{x}} \left(12 x^3-22 x^4\right)\right) \log \left(\frac{\sqrt[5]{\frac{1}{x}}+x^2-x^3}{-x+x^2}\right)+\left(-20 x^5+40 x^6-20 x^7+\sqrt[5]{\frac{1}{x}} \left(-20 x^3+20 x^4\right)\right) \log ^2\left(\frac{\sqrt[5]{\frac{1}{x}}+x^2-x^3}{-x+x^2}\right)\right)}{-5 x^2+10 x^3-5 x^4+\sqrt[5]{\frac{1}{x}} (-5+5 x)} \, dx","e^{x^4 \log ^2\left(\frac{\sqrt[5]{\frac{1}{x}}}{x^2-x}-x\right)}",1,"Integrate[(E^(x^4*Log[((x^(-1))^(1/5) + x^2 - x^3)/(-x + x^2)]^2)*((-10*x^5 + 20*x^6 - 10*x^7 + (x^(-1))^(1/5)*(12*x^3 - 22*x^4))*Log[((x^(-1))^(1/5) + x^2 - x^3)/(-x + x^2)] + (-20*x^5 + 40*x^6 - 20*x^7 + (x^(-1))^(1/5)*(-20*x^3 + 20*x^4))*Log[((x^(-1))^(1/5) + x^2 - x^3)/(-x + x^2)]^2))/(-5*x^2 + 10*x^3 - 5*x^4 + (x^(-1))^(1/5)*(-5 + 5*x)), x]","F",-1
6742,1,12,27,0.041062,"\int \frac{20+25 e^x+5 x}{e^x+x} \, dx","Integrate[(20 + 25*E^x + 5*x)/(E^x + x),x]","5 \left(x+4 \log \left(x+e^x\right)\right)","x+x \left(\frac{5 \left(2 \log \left(\frac{1}{4} \left(x+e^x\right)^2\right)-3\right)}{x}+4\right)",1,"5*(x + 4*Log[E^x + x])","A",1
6743,1,14,15,0.0134676,"\int \left(-2+e^{1+2 x+x^2} \left(-2-4 x-4 x^2\right)\right) \, dx","Integrate[-2 + E^(1 + 2*x + x^2)*(-2 - 4*x - 4*x^2),x]","-2 e^{(x+1)^2} x-2 x","-2 e^{(x+1)^2} x-2 x+4",1,"-2*x - 2*E^(1 + x)^2*x","A",1
6744,1,35,26,0.1091898,"\int \frac{48 x^2+e^3 \left(80 x-24 x^2\right)+e^6 \left(25-20 x+3 x^2\right)+\left(e^3 (40-16 x)+64 x\right) \log (4)+16 \log ^2(4)+e^{9+e^{x^2}} \left(-24 x^2+e^3 \left(-20 x+6 x^2\right)+\left(-32 x+e^3 (-10+4 x)\right) \log (4)-8 \log ^2(4)+e^{x^2} \left(-16 x^4+e^3 \left(-20 x^3+4 x^4\right)+\left(-32 x^3+e^3 \left(-20 x^2+4 x^3\right)\right) \log (4)-16 x^2 \log ^2(4)\right)\right)+e^{18+2 e^{x^2}} \left(3 x^2+4 x \log (4)+\log ^2(4)+e^{x^2} \left(4 x^4+8 x^3 \log (4)+4 x^2 \log ^2(4)\right)\right)}{e^6} \, dx","Integrate[(48*x^2 + E^3*(80*x - 24*x^2) + E^6*(25 - 20*x + 3*x^2) + (E^3*(40 - 16*x) + 64*x)*Log[4] + 16*Log[4]^2 + E^(9 + E^x^2)*(-24*x^2 + E^3*(-20*x + 6*x^2) + (-32*x + E^3*(-10 + 4*x))*Log[4] - 8*Log[4]^2 + E^x^2*(-16*x^4 + E^3*(-20*x^3 + 4*x^4) + (-32*x^3 + E^3*(-20*x^2 + 4*x^3))*Log[4] - 16*x^2*Log[4]^2)) + E^(18 + 2*E^x^2)*(3*x^2 + 4*x*Log[4] + Log[4]^2 + E^x^2*(4*x^4 + 8*x^3*Log[4] + 4*x^2*Log[4]^2)))/E^6,x]","\frac{x \left(e^{e^{x^2}+9} (x+\log (4))+e^3 (x-5)-4 (x+\log (4))\right)^2}{e^6}","x \left(\frac{\left(e^{e^{x^2}+9}-4\right) (x+\log (4))}{e^3}+x-5\right)^2",1,"(x*(E^3*(-5 + x) - 4*(x + Log[4]) + E^(9 + E^x^2)*(x + Log[4]))^2)/E^6","A",1
6745,1,33,28,0.4982578,"\int \frac{\exp \left(\frac{15-3 x^2+x \log \left(\frac{1}{16} \left(16+8 e^x x+e^{2 x} x^2\right)\right)}{3 x}\right) \left(-60-12 x^2+e^x \left(-15 x+2 x^2-x^3\right)\right)}{12 x^2+3 e^x x^3} \, dx","Integrate[(E^((15 - 3*x^2 + x*Log[(16 + 8*E^x*x + E^(2*x)*x^2)/16])/(3*x))*(-60 - 12*x^2 + E^x*(-15*x + 2*x^2 - x^3)))/(12*x^2 + 3*E^x*x^3),x]","\frac{e^{\frac{5}{x}-x} \sqrt[3]{\left(e^x x+4\right)^2}}{2 \sqrt[3]{2}}","e^{\frac{5}{x}-x} \sqrt[3]{\left(\frac{e^x x}{4}+1\right)^2}",1,"(E^(5/x - x)*((4 + E^x*x)^2)^(1/3))/(2*2^(1/3))","A",1
6746,1,19,20,0.0199119,"\int \frac{e^{-x} \left(e^{3-x} (1+2 x)+e^x \left(x^2+e^4 x^2\right)\right)}{x^2} \, dx","Integrate[(E^(3 - x)*(1 + 2*x) + E^x*(x^2 + E^4*x^2))/(E^x*x^2),x]","e^4 x+x-\frac{e^{3-2 x}}{x}","e^4 x+x-\frac{e^{3-2 x}}{x}+6",1,"-(E^(3 - 2*x)/x) + x + E^4*x","A",1
6747,1,16,27,0.0490271,"\int \frac{e^{\frac{-12+28 x+11 x^2}{12 x}} \left(12+11 x^2\right)}{12 x^2} \, dx","Integrate[(E^((-12 + 28*x + 11*x^2)/(12*x))*(12 + 11*x^2))/(12*x^2),x]","e^{\frac{11 x}{12}-\frac{1}{x}+\frac{7}{3}}","e^{\frac{x^2+\frac{1}{3} \left(-\frac{x^2}{4}+x-3\right)+2 x}{x}}",1,"E^(7/3 - x^(-1) + (11*x)/12)","A",1
6748,1,44,28,0.1122368,"\int \frac{e^{-\frac{e^{16}}{x}-\frac{6 e^{-\frac{e^{16}}{x}}}{x}} \left(-24 e^{16} x+24 x^2+2 e^{8+\frac{e^{16}}{x}+\frac{6 e^{-\frac{e^{16}}{x}}}{x}+2 x} x^2+8 e^{\frac{e^{16}}{x}} x^3+e^{\frac{3 e^{-\frac{e^{16}}{x}}}{x}} \left(e^{4+x} \left(-12 e^{16}+12 x\right)+e^{4+\frac{e^{16}}{x}+x} \left(4 x^2+4 x^3\right)\right)\right)}{x^2} \, dx","Integrate[(E^(-(E^16/x) - 6/(E^(E^16/x)*x))*(-24*E^16*x + 24*x^2 + 2*E^(8 + E^16/x + 6/(E^(E^16/x)*x) + 2*x)*x^2 + 8*E^(E^16/x)*x^3 + E^(3/(E^(E^16/x)*x))*(E^(4 + x)*(-12*E^16 + 12*x) + E^(4 + E^16/x + x)*(4*x^2 + 4*x^3))))/x^2,x]","e^{-\frac{6 e^{-\frac{e^{16}}{x}}}{x}} \left(2 x+e^{x+\frac{3 e^{-\frac{e^{16}}{x}}}{x}+4}\right)^2","\left(2 e^{-\frac{3 e^{-\frac{e^{16}}{x}}}{x}} x+e^{x+4}\right)^2",1,"(E^(4 + 3/(E^(E^16/x)*x) + x) + 2*x)^2/E^(6/(E^(E^16/x)*x))","A",1
6749,1,22,17,0.0070711,"\int \frac{75+58 x+10 x^2}{20+5 x} \, dx","Integrate[(75 + 58*x + 10*x^2)/(20 + 5*x),x]","\frac{1}{5} \left(5 x^2+18 x+3 \log (5 (x+4))-8\right)","x^2+\frac{3}{5} (6 x+\log (x+4)-3)",1,"(-8 + 18*x + 5*x^2 + 3*Log[5*(4 + x)])/5","A",1
6750,1,30,19,0.5471536,"\int \frac{-3+e^{-7+2 x-2 x^3} \left(1-2 x+6 x^3\right)}{9+e^{-14+4 x-4 x^3}-6 e^{-7+2 x-2 x^3}} \, dx","Integrate[(-3 + E^(-7 + 2*x - 2*x^3)*(1 - 2*x + 6*x^3))/(9 + E^(-14 + 4*x - 4*x^3) - 6*E^(-7 + 2*x - 2*x^3)),x]","\frac{e^{2 x^3+7} x}{e^{2 x}-3 e^{2 x^3+7}}","\frac{x}{e^{2 \left(x-x^3\right)-7}-3}",1,"(E^(7 + 2*x^3)*x)/(E^(2*x) - 3*E^(7 + 2*x^3))","A",1
6751,1,28,23,0.0159354,"\int \frac{-34-8 x-x^2+e^5 \left(16+8 x+x^2\right)}{-16-8 x-x^2+e^5 \left(16+8 x+x^2\right)} \, dx","Integrate[(-34 - 8*x - x^2 + E^5*(16 + 8*x + x^2))/(-16 - 8*x - x^2 + E^5*(16 + 8*x + x^2)),x]","-\frac{\left(1-e^5\right) (x+4)-\frac{18}{x+4}}{e^5-1}","x-\frac{2 (5-x)}{\left(1-e^5\right) (x+4)}",1,"-((-18/(4 + x) + (1 - E^5)*(4 + x))/(-1 + E^5))","A",1
6752,1,37,30,0.1427938,"\int \frac{-1-x+e^{3+2 x+4 e^{2 x} x^2} \left(40 x^2+40 x^3\right)-\log (4)+x \log \left(\frac{5}{x}\right)}{5 x} \, dx","Integrate[(-1 - x + E^(3 + 2*x + 4*E^(2*x)*x^2)*(40*x^2 + 40*x^3) - Log[4] + x*Log[5/x])/(5*x),x]","\frac{1}{5} \left(5 e^{4 e^{2 x} x^2+3}+x \log \left(\frac{5}{x}\right)-(1+\log (4)) \log (x)\right)","e^{4 e^{2 x} x^2+3}+\frac{1}{5} (x+1+\log (4)) \log \left(\frac{5}{x}\right)",1,"(5*E^(3 + 4*E^(2*x)*x^2) + x*Log[5/x] - (1 + Log[4])*Log[x])/5","A",1
6753,1,12,17,0.0026992,"\int \frac{2+3 x}{1+x} \, dx","Integrate[(2 + 3*x)/(1 + x),x]","3 (x+1)-\log (x+1)","3 (x+5)-\log \left(\frac{x+1}{3}\right)-5",1,"3*(1 + x) - Log[1 + x]","A",1
6754,1,16,15,0.0557657,"\int \frac{225-225 \log (x)-\log ^2(x)}{50625 e x^2+450 e x^2 \log (x)+e x^2 \log ^2(x)} \, dx","Integrate[(225 - 225*Log[x] - Log[x]^2)/(50625*E*x^2 + 450*E*x^2*Log[x] + E*x^2*Log[x]^2),x]","\frac{\log (x)}{e (225 x+x \log (x))}","\frac{1}{e \left(x+\frac{225 x}{\log (x)}\right)}",1,"Log[x]/(E*(225*x + x*Log[x]))","A",1
6755,1,19,21,0.6255221,"\int \frac{\exp \left(\frac{1+5 x+x^2+e^x (5+x)+\left(e^x+x\right) \log (x)}{e^x+x}\right) \left(e^{2 x} (2+2 x) \log (3)+e^x \left(2 x+4 x^2\right) \log (3)+\left(-2 x+2 x^2+2 x^3\right) \log (3)\right)}{3 e^{2 x} x+6 e^x x^2+3 x^3} \, dx","Integrate[(E^((1 + 5*x + x^2 + E^x*(5 + x) + (E^x + x)*Log[x])/(E^x + x))*(E^(2*x)*(2 + 2*x)*Log[3] + E^x*(2*x + 4*x^2)*Log[3] + (-2*x + 2*x^2 + 2*x^3)*Log[3]))/(3*E^(2*x)*x + 6*E^x*x^2 + 3*x^3),x]","\frac{2}{3} e^{x+\frac{1}{x+e^x}+5} x \log (3)","\frac{2}{3} e^{x+\frac{1}{x+e^x}+5} x \log (3)+4",1,"(2*E^(5 + x + (E^x + x)^(-1))*x*Log[3])/3","A",1
6756,1,20,24,0.1651068,"\int \frac{20-3 x^2+8 x^3+\left(20-32 x+3 x^2-4 x^3\right) \log \left(\frac{-20+32 x-3 x^2+4 x^3}{4 x}\right)}{-20 x^2+32 x^3-3 x^4+4 x^5} \, dx","Integrate[(20 - 3*x^2 + 8*x^3 + (20 - 32*x + 3*x^2 - 4*x^3)*Log[(-20 + 32*x - 3*x^2 + 4*x^3)/(4*x)])/(-20*x^2 + 32*x^3 - 3*x^4 + 4*x^5),x]","\frac{\log \left(x^2-\frac{3 x}{4}-\frac{5}{x}+8\right)}{x}","\frac{\log \left((x-2) x+\frac{5 x}{4}-\frac{5}{x}+8\right)}{x}+5",1,"Log[8 - 5/x - (3*x)/4 + x^2]/x","A",1
6757,1,21,13,0.0026104,"\int \frac{-12 e^2-24 x \log (3)}{\log (3)} \, dx","Integrate[(-12*E^2 - 24*x*Log[3])/Log[3],x]","-\frac{12 \left(\frac{1}{2} x^2 \log (9)+e^2 x\right)}{\log (3)}","-12 x \left(x+\frac{e^2}{\log (3)}\right)",1,"(-12*(E^2*x + (x^2*Log[9])/2))/Log[3]","A",1
6758,1,17,19,5.0427563,"\int \frac{x+(4+8 x) \log \left(\frac{2+4 x}{x}\right)}{(16+32 x) \log \left(\frac{2+4 x}{x}\right)+\left(8 x+16 x^2\right) \log \left(\frac{2+4 x}{x}\right) \log \left(\log \left(\frac{2+4 x}{x}\right)\right)+\left(x^2+2 x^3\right) \log \left(\frac{2+4 x}{x}\right) \log ^2\left(\log \left(\frac{2+4 x}{x}\right)\right)} \, dx","Integrate[(x + (4 + 8*x)*Log[(2 + 4*x)/x])/((16 + 32*x)*Log[(2 + 4*x)/x] + (8*x + 16*x^2)*Log[(2 + 4*x)/x]*Log[Log[(2 + 4*x)/x]] + (x^2 + 2*x^3)*Log[(2 + 4*x)/x]*Log[Log[(2 + 4*x)/x]]^2),x]","\frac{x}{x \log \left(\log \left(\frac{2}{x}+4\right)\right)+4}","\frac{x}{x \log \left(\log \left(\frac{2}{x}+4\right)\right)+4}-1",1,"x/(4 + x*Log[Log[4 + 2/x]])","A",1
6759,1,15,15,0.0030334,"\int -\frac{4 e^{16}}{(5+5 x) \log ^2(-1-x)} \, dx","Integrate[(-4*E^16)/((5 + 5*x)*Log[-1 - x]^2),x]","\frac{4 e^{16}}{5 \log (-x-1)}","\frac{4 e^{16}}{5 \log (-x-1)}",1,"(4*E^16)/(5*Log[-1 - x])","A",1
6760,1,31,27,0.3040707,"\int \frac{e^{-x} \left(-1461+852 x+37 x^2-26 x^3-2 x^4+e^2 \left(324-9 x-14 x^2-x^3\right)\right)}{81+18 x+x^2} \, dx","Integrate[(-1461 + 852*x + 37*x^2 - 26*x^3 - 2*x^4 + E^2*(324 - 9*x - 14*x^2 - x^3))/(E^x*(81 + 18*x + x^2)),x]","\frac{e^{-x} (x-3) \left(2 x^2+18 x+e^2 (x+9)-25\right)}{x+9}","e^{-x} (3-x) \left(-2 x+\frac{25}{x+9}-e^2\right)",1,"((-3 + x)*(-25 + 18*x + 2*x^2 + E^2*(9 + x)))/(E^x*(9 + x))","A",1
6761,1,36,28,0.0450344,"\int \frac{e^{10} (-4-3 x)-e^{10} x \log (\log (3))+\left(e^{10} (5+15 x)+5 e^{10} x \log (\log (3))\right) \log \left(\frac{1+3 x+x \log (\log (3))}{x}\right)+\left(e^{10} (-4-12 x)-4 e^{10} x \log (\log (3))\right) \log ^2\left(\frac{1+3 x+x \log (\log (3))}{x}\right)}{x^2+3 x^3+x^3 \log (\log (3))+\left(-8 x^2-24 x^3-8 x^3 \log (\log (3))\right) \log \left(\frac{1+3 x+x \log (\log (3))}{x}\right)+\left(16 x^2+48 x^3+16 x^3 \log (\log (3))\right) \log ^2\left(\frac{1+3 x+x \log (\log (3))}{x}\right)} \, dx","Integrate[(E^10*(-4 - 3*x) - E^10*x*Log[Log[3]] + (E^10*(5 + 15*x) + 5*E^10*x*Log[Log[3]])*Log[(1 + 3*x + x*Log[Log[3]])/x] + (E^10*(-4 - 12*x) - 4*E^10*x*Log[Log[3]])*Log[(1 + 3*x + x*Log[Log[3]])/x]^2)/(x^2 + 3*x^3 + x^3*Log[Log[3]] + (-8*x^2 - 24*x^3 - 8*x^3*Log[Log[3]])*Log[(1 + 3*x + x*Log[Log[3]])/x] + (16*x^2 + 48*x^3 + 16*x^3*Log[Log[3]])*Log[(1 + 3*x + x*Log[Log[3]])/x]^2),x]","-\frac{e^{10} \left(1-\log \left(\frac{1}{x}+3+\log (\log (3))\right)\right)}{x \left(4 \log \left(\frac{1}{x}+3+\log (\log (3))\right)-1\right)}","\frac{e^{10}}{x \left(4-\frac{3}{1-\log \left(\frac{1}{x}+3+\log (\log (3))\right)}\right)}",1,"-((E^10*(1 - Log[3 + x^(-1) + Log[Log[3]]]))/(x*(-1 + 4*Log[3 + x^(-1) + Log[Log[3]]])))","A",1
6762,1,46,36,0.1448979,"\int \frac{1}{875} \left(-500-240 x+e^{\frac{2}{25} \left(4 x^2-4 x^3+x^4\right)} \left(80 x-120 x^2+40 x^3\right)+e^{\frac{1}{25} \left(4 x^2-4 x^3+x^4\right)} \left(50+16 x^2-24 x^3+8 x^4\right)\right) \, dx","Integrate[(-500 - 240*x + E^((2*(4*x^2 - 4*x^3 + x^4))/25)*(80*x - 120*x^2 + 40*x^3) + E^((4*x^2 - 4*x^3 + x^4)/25)*(50 + 16*x^2 - 24*x^3 + 8*x^4))/875,x]","\frac{1}{875} \left(50 e^{\frac{1}{25} (x-2)^2 x^2} x+125 e^{\frac{2}{25} (x-2)^2 x^2}-20 (6 x+25) x\right)","\frac{1}{7} \left(\frac{\left(e^{\frac{1}{25} (x-2)^2 x^2}+\frac{x}{5}\right)^2}{x}-x-4\right) x",1,"(125*E^((2*(-2 + x)^2*x^2)/25) + 50*E^(((-2 + x)^2*x^2)/25)*x - 20*x*(25 + 6*x))/875","A",1
6763,1,39,32,3.2866333,"\int \frac{\exp \left(\frac{e^2 \left(20 x-21 x^2+x^3\right)+e^2 (-20+x) \log (x)}{-97+4 x}\right) \left(e^2 \left(1940-2117 x+4078 x^2-375 x^3+8 x^4\right)-17 e^2 x \log (x)\right)}{9409 x-776 x^2+16 x^3} \, dx","Integrate[(E^((E^2*(20*x - 21*x^2 + x^3) + E^2*(-20 + x)*Log[x])/(-97 + 4*x))*(E^2*(1940 - 2117*x + 4078*x^2 - 375*x^3 + 8*x^4) - 17*E^2*x*Log[x]))/(9409*x - 776*x^2 + 16*x^3),x]","e^{\frac{e^2 x \left(x^2-21 x+20\right)}{4 x-97}} x^{\frac{e^2 (x-20)}{4 x-97}}","e^{\frac{e^2 ((x-1) x+\log (x))}{5-\frac{3-x}{20-x}}}",1,"E^((E^2*x*(20 - 21*x + x^2))/(-97 + 4*x))*x^((E^2*(-20 + x))/(-97 + 4*x))","A",1
6764,1,34,32,0.0660621,"\int \frac{e^x (3+3 x)+e^{x-2 e x+2 e^4 x} \left(-x^2+x^3+2 e x^3-2 e^4 x^3\right)}{9+6 e^{-2 e x+2 e^4 x} x^2+e^{-4 e x+4 e^4 x} x^4} \, dx","Integrate[(E^x*(3 + 3*x) + E^(x - 2*E*x + 2*E^4*x)*(-x^2 + x^3 + 2*E*x^3 - 2*E^4*x^3))/(9 + 6*E^(-2*E*x + 2*E^4*x)*x^2 + E^(-4*E*x + 4*E^4*x)*x^4),x]","\frac{e^{(1+2 e) x} x}{e^{2 e^4 x} x^2+3 e^{2 e x}}","\frac{e^x x}{e^{2 \left(1-e+e^4\right) x-2 x} x^2+3}+1",1,"(E^((1 + 2*E)*x)*x)/(3*E^(2*E*x) + E^(2*E^4*x)*x^2)","A",1
6765,1,14,14,0.0030802,"\int \frac{-36-703125 x^3 \log ^5(x)}{15625 x \log ^5(x)} \, dx","Integrate[(-36 - 703125*x^3*Log[x]^5)/(15625*x*Log[x]^5),x]","\frac{9}{15625 \log ^4(x)}-15 x^3","\frac{9}{15625 \log ^4(x)}-15 x^3",1,"-15*x^3 + 9/(15625*Log[x]^4)","A",1
6766,1,27,19,0.0619805,"\int \frac{-8 e^{e^6}-32 x^2+\left(64 e x-64 x^2\right) \log (-e+x)}{e-x} \, dx","Integrate[(-8*E^E^6 - 32*x^2 + (64*E*x - 64*x^2)*Log[-E + x])/(E - x),x]","-8 \left(-4 x^2 \log (x-e)-e^{e^6} \log (e-x)\right)","8 \left(4 x^2+e^{e^6}\right) \log (x-e)",1,"-8*(-(E^E^6*Log[E - x]) - 4*x^2*Log[-E + x])","A",1
6767,-1,0,38,180.0726703,"\int \frac{e^{\frac{x}{2-x+\log (2)}} (-2 x-x \log (2))+\frac{e^{450+\frac{x}{2-x+\log (2)}+50 \log ^2\left(x^2\right)} (-2 x-x \log (2))}{x^{600}}+\frac{e^{225+25 \log ^2\left(x^2\right)} \left(600-600 x+150 x^2+(600-300 x) \log (2)+150 \log ^2(2)+e^{\frac{x}{2-x+\log (2)}} (4 x+2 x \log (2))+\left(-200+200 x-50 x^2+(-200+100 x) \log (2)-50 \log ^2(2)\right) \log \left(x^2\right)\right)}{x^{300}}}{4 x-4 x^2+x^3+\left(4 x-2 x^2\right) \log (2)+x \log ^2(2)+\frac{e^{225+25 \log ^2\left(x^2\right)} \left(-8 x+8 x^2-2 x^3+\left(-8 x+4 x^2\right) \log (2)-2 x \log ^2(2)\right)}{x^{300}}+\frac{e^{450+50 \log ^2\left(x^2\right)} \left(4 x-4 x^2+x^3+\left(4 x-2 x^2\right) \log (2)+x \log ^2(2)\right)}{x^{600}}} \, dx","Integrate[(E^(x/(2 - x + Log[2]))*(-2*x - x*Log[2]) + (E^(450 + x/(2 - x + Log[2]) + 50*Log[x^2]^2)*(-2*x - x*Log[2]))/x^600 + (E^(225 + 25*Log[x^2]^2)*(600 - 600*x + 150*x^2 + (600 - 300*x)*Log[2] + 150*Log[2]^2 + E^(x/(2 - x + Log[2]))*(4*x + 2*x*Log[2]) + (-200 + 200*x - 50*x^2 + (-200 + 100*x)*Log[2] - 50*Log[2]^2)*Log[x^2]))/x^300)/(4*x - 4*x^2 + x^3 + (4*x - 2*x^2)*Log[2] + x*Log[2]^2 + (E^(225 + 25*Log[x^2]^2)*(-8*x + 8*x^2 - 2*x^3 + (-8*x + 4*x^2)*Log[2] - 2*x*Log[2]^2))/x^300 + (E^(450 + 50*Log[x^2]^2)*(4*x - 4*x^2 + x^3 + (4*x - 2*x^2)*Log[2] + x*Log[2]^2))/x^600),x]","\text{\$Aborted}","\frac{1}{2 \left(e^{25 \left(3-\log \left(x^2\right)\right)^2}-1\right)}-e^{\frac{x}{-x+2+\log (2)}}",1,"$Aborted","F",-1
6768,1,58,22,0.0092365,"\int \left(-120+32 x+\left(-360 x-36 x^2+64 x^3\right) \log (3)+\left(144 x^3+120 x^4+24 x^5\right) \log ^2(3)\right) \, dx","Integrate[-120 + 32*x + (-360*x - 36*x^2 + 64*x^3)*Log[3] + (144*x^3 + 120*x^4 + 24*x^5)*Log[3]^2,x]","4 \left(x^6 \log ^2(3)+6 x^5 \log ^2(3)+9 x^4 \log ^2(3)+4 x^4 \log (3)-3 x^3 \log (3)+4 x^2-45 x^2 \log (3)-30 x\right)","\left(\log \left(e^{2 (x+3) x^2 \log (3)+4 x-10}\right)-5\right)^2",1,"4*(-30*x + 4*x^2 - 45*x^2*Log[3] - 3*x^3*Log[3] + 4*x^4*Log[3] + 9*x^4*Log[3]^2 + 6*x^5*Log[3]^2 + x^6*Log[3]^2)","B",1
6769,1,17,20,0.005045,"\int \left(50-10 e^{1+2 x}\right) \, dx","Integrate[50 - 10*E^(1 + 2*x),x]","-10 \left(\frac{1}{2} e^{2 x+1}-5 x\right)","5 \left(5 (2 x-24)-e^{2 x+1}+1\right)",1,"-10*(E^(1 + 2*x)/2 - 5*x)","A",1
6770,1,25,28,1.9330374,"\int \frac{\left(4 x-10 x^2+6 x^3\right) \log ^2(x)+e^{\frac{-x+x^2+5 \log (x)}{(-1+x) \log (x)}} \left(-x+2 x^2-x^3+\left(x-2 x^2+x^3\right) \log (x)+\left(1-8 x+2 x^2\right) \log ^2(x)\right)}{(-1+x) \log ^2(x)} \, dx","Integrate[((4*x - 10*x^2 + 6*x^3)*Log[x]^2 + E^((-x + x^2 + 5*Log[x])/((-1 + x)*Log[x]))*(-x + 2*x^2 - x^3 + (x - 2*x^2 + x^3)*Log[x] + (1 - 8*x + 2*x^2)*Log[x]^2))/((-1 + x)*Log[x]^2),x]","(x-1) x \left(2 x+e^{\frac{5}{x-1}+\frac{x}{\log (x)}}\right)","\left(x^2-x\right) \left(2 x+e^{\frac{5}{x-1}+\frac{x}{\log (x)}}\right)",1,"(-1 + x)*x*(E^(5/(-1 + x) + x/Log[x]) + 2*x)","A",1
6771,1,27,14,0.1318895,"\int \frac{1-x}{\left(x^2+x \log \left(\frac{4}{x}\right)\right) \log \left(x+\log \left(\frac{4}{x}\right)\right)+\left(2 x^2+2 x \log \left(\frac{4}{x}\right)\right) \log ^2\left(x+\log \left(\frac{4}{x}\right)\right)} \, dx","Integrate[(1 - x)/((x^2 + x*Log[4/x])*Log[x + Log[4/x]] + (2*x^2 + 2*x*Log[4/x])*Log[x + Log[4/x]]^2),x]","\log \left(2 \log \left(x+\log \left(\frac{4}{x}\right)\right)+1\right)-\log \left(\log \left(x+\log \left(\frac{4}{x}\right)\right)\right)","\log \left(\frac{1}{\log \left(x+\log \left(\frac{4}{x}\right)\right)}+2\right)",1,"-Log[Log[x + Log[4/x]]] + Log[1 + 2*Log[x + Log[4/x]]]","A",1
6772,1,26,27,1.4251543,"\int \frac{(-3+x) \log (3-x)+\frac{e^{e^{e^5}+\frac{e^{e^{e^5}} \left(e^3+x\right)}{\log (3-x)}} \left(-e^3 x-x^2+\left(-3 x+x^2\right) \log (3-x)\right)}{\log (3-x)}}{\left(-3 x+x^2\right) \log (3-x)} \, dx","Integrate[((-3 + x)*Log[3 - x] + (E^(E^E^5 + (E^E^E^5*(E^3 + x))/Log[3 - x])*(-(E^3*x) - x^2 + (-3*x + x^2)*Log[3 - x]))/Log[3 - x])/((-3*x + x^2)*Log[3 - x]),x]","\log (x)+e^{\frac{e^{e^{e^5}} \left(x+e^3\right)}{\log (3-x)}}","\log (x)+e^{\frac{e^{e^{e^5}} \left(x+e^3\right)}{\log (3-x)}}+2",1,"E^((E^E^E^5*(E^3 + x))/Log[3 - x]) + Log[x]","A",1
6773,1,24,25,0.4532736,"\int \frac{e^{-x} \left(e^x (1-x) \log (-1+x)+e^x (-1+x) \log (-1+x) \log (x)+4^{4 e^{-x}} \left(e^x (-1+x)+e^x (1-x) \log (x)\right)+\left(e^x x \log (x)+4^{4 e^{-x}} \left(-4 x+4 x^2\right) \log (4) \log (x)\right) \log \left(\frac{2 x}{\log (x)}\right)\right)}{\left(-x+x^2\right) \log (x)} \, dx","Integrate[(E^x*(1 - x)*Log[-1 + x] + E^x*(-1 + x)*Log[-1 + x]*Log[x] + 4^(4/E^x)*(E^x*(-1 + x) + E^x*(1 - x)*Log[x]) + (E^x*x*Log[x] + 4^(4/E^x)*(-4*x + 4*x^2)*Log[4]*Log[x])*Log[(2*x)/Log[x]])/(E^x*(-x + x^2)*Log[x]),x]","-\left(\left(256^{e^{-x}}-\log (x-1)\right) \log \left(\frac{2 x}{\log (x)}\right)\right)","\left(\log (x-1)-4^{4 e^{-x}}\right) \log \left(\frac{2 x}{\log (x)}\right)",1,"-((256^E^(-x) - Log[-1 + x])*Log[(2*x)/Log[x]])","A",1
6774,1,21,14,0.0221848,"\int \frac{e^{x+x \log (16)} (-5-5 \log (16))}{1-2 e^{x+x \log (16)}+e^{2 x+2 x \log (16)}} \, dx","Integrate[(E^(x + x*Log[16])*(-5 - 5*Log[16]))/(1 - 2*E^(x + x*Log[16]) + E^(2*x + 2*x*Log[16])),x]","\frac{5 (1+\log (16))}{\left((16 e)^x-1\right) \log (16 e)}","\frac{5}{e^{x (1+\log (16))}-1}",1,"(5*(1 + Log[16]))/((-1 + (16*E)^x)*Log[16*E])","A",1
6775,1,13,14,0.0048483,"\int \frac{-\frac{1}{x^2}-8 e^x x}{8 x} \, dx","Integrate[(-x^(-2) - 8*E^x*x)/(8*x),x]","\frac{1}{16 x^2}-e^x","\frac{1}{16 x^2}-e^x+36",1,"-E^x + 1/(16*x^2)","A",1
6776,1,4,8,0.0002242,"\int \frac{10}{x} \, dx","Integrate[10/x,x]","10 \log (x)","5 \log \left(x^2\right)+8",1,"10*Log[x]","A",1
6777,1,20,22,0.6436829,"\int \frac{1}{9} e^{\frac{1}{9} \left(-144-2 x^2-e^{e^x} \left(72+x^2\right)\right)} \left(-8 x+e^{e^x} \left(-4 x+e^x \left(-144-2 x^2\right)\right)\right) \, dx","Integrate[(E^((-144 - 2*x^2 - E^E^x*(72 + x^2))/9)*(-8*x + E^E^x*(-4*x + E^x*(-144 - 2*x^2))))/9,x]","2 e^{-\frac{1}{9} \left(e^{e^x}+2\right) \left(x^2+72\right)}","2 e^{-\left(\left(e^{e^x}+2\right) \left(\frac{x^2}{9}+8\right)\right)}",1,"2/E^(((2 + E^E^x)*(72 + x^2))/9)","A",1
6778,1,25,23,0.2984003,"\int \frac{\left(e^5 x^2+e^5 x \log (8)\right) \log \left(-12 x^2-12 x \log (8)\right)+\left(-16 x-4 x^2+(-8-2 x) \log (8)+\left(8 x+2 x^2+(8+2 x) \log (8)\right) \log \left(-12 x^2-12 x \log (8)\right)\right) \log \left(\frac{x}{\log \left(-12 x^2-12 x \log (8)\right)}\right)+\left(x^2+x \log (8)\right) \log \left(-12 x^2-12 x \log (8)\right) \log ^2\left(\frac{x}{\log \left(-12 x^2-12 x \log (8)\right)}\right)}{\left(x^2+x \log (8)\right) \log \left(-12 x^2-12 x \log (8)\right)} \, dx","Integrate[((E^5*x^2 + E^5*x*Log[8])*Log[-12*x^2 - 12*x*Log[8]] + (-16*x - 4*x^2 + (-8 - 2*x)*Log[8] + (8*x + 2*x^2 + (8 + 2*x)*Log[8])*Log[-12*x^2 - 12*x*Log[8]])*Log[x/Log[-12*x^2 - 12*x*Log[8]]] + (x^2 + x*Log[8])*Log[-12*x^2 - 12*x*Log[8]]*Log[x/Log[-12*x^2 - 12*x*Log[8]]]^2)/((x^2 + x*Log[8])*Log[-12*x^2 - 12*x*Log[8]]),x]","e^5 x+(x+4) \log ^2\left(\frac{x}{\log (-12 x (x+\log (8)))}\right)","(x+4) \left(\log ^2\left(\frac{x}{\log (-12 x (x+\log (8)))}\right)+e^5\right)",1,"E^5*x + (4 + x)*Log[x/Log[-12*x*(x + Log[8])]]^2","A",1
6779,1,28,29,0.0955977,"\int \frac{3 x+3 x^2+\left(9+12 x+3 x^2\right) \log (3+x)+\left(-6 x^2-2 x^3\right) \log (3+x) \log (x \log (3+x))+\left(-9+6 x+3 x^2\right) \log (3+x) \log (x \log (3+x)) \log (\log (x \log (3+x)))}{\left(-12 x^2-16 x^3-4 x^4\right) \log (3+x) \log (x \log (3+x))+\left(36 x+48 x^2+12 x^3\right) \log (3+x) \log (x \log (3+x)) \log (\log (x \log (3+x)))} \, dx","Integrate[(3*x + 3*x^2 + (9 + 12*x + 3*x^2)*Log[3 + x] + (-6*x^2 - 2*x^3)*Log[3 + x]*Log[x*Log[3 + x]] + (-9 + 6*x + 3*x^2)*Log[3 + x]*Log[x*Log[3 + x]]*Log[Log[x*Log[3 + x]]])/((-12*x^2 - 16*x^3 - 4*x^4)*Log[3 + x]*Log[x*Log[3 + x]] + (36*x + 48*x^2 + 12*x^3)*Log[3 + x]*Log[x*Log[3 + x]]*Log[Log[x*Log[3 + x]]]),x]","\frac{1}{4} (-\log (x)+2 \log (x+1)+\log (x-3 \log (\log (x \log (x+3)))))","\frac{1}{4} \log \left(\frac{5 (x+1)^2 (3 \log (\log (x \log (x+3)))-x)}{x}\right)",1,"(-Log[x] + 2*Log[1 + x] + Log[x - 3*Log[Log[x*Log[3 + x]]]])/4","A",1
6780,1,22,20,0.0269638,"\int \frac{47+(10+47 x) \log \left(\frac{1}{2} (10+47 x)\right) \log \left(\frac{2}{\log \left(\frac{1}{2} (10+47 x)\right)}\right)}{\left(10 x^2+47 x^3\right) \log \left(\frac{1}{2} (10+47 x)\right) \log \left(\frac{2}{\log \left(\frac{1}{2} (10+47 x)\right)}\right)+\left(-20 x-94 x^2\right) \log \left(\frac{1}{2} (10+47 x)\right) \log \left(\frac{2}{\log \left(\frac{1}{2} (10+47 x)\right)}\right) \log \left(\log \left(\frac{2}{\log \left(\frac{1}{2} (10+47 x)\right)}\right)\right)+(10+47 x) \log \left(\frac{1}{2} (10+47 x)\right) \log \left(\frac{2}{\log \left(\frac{1}{2} (10+47 x)\right)}\right) \log ^2\left(\log \left(\frac{2}{\log \left(\frac{1}{2} (10+47 x)\right)}\right)\right)} \, dx","Integrate[(47 + (10 + 47*x)*Log[(10 + 47*x)/2]*Log[2/Log[(10 + 47*x)/2]])/((10*x^2 + 47*x^3)*Log[(10 + 47*x)/2]*Log[2/Log[(10 + 47*x)/2]] + (-20*x - 94*x^2)*Log[(10 + 47*x)/2]*Log[2/Log[(10 + 47*x)/2]]*Log[Log[2/Log[(10 + 47*x)/2]]] + (10 + 47*x)*Log[(10 + 47*x)/2]*Log[2/Log[(10 + 47*x)/2]]*Log[Log[2/Log[(10 + 47*x)/2]]]^2),x]","-\frac{1}{x-\log \left(\log \left(\frac{2}{\log \left(\frac{47 x}{2}+5\right)}\right)\right)}","\frac{1}{\log \left(\log \left(\frac{2}{\log \left(\frac{47 x}{2}+5\right)}\right)\right)-x}",1,"-(x - Log[Log[2/Log[5 + (47*x)/2]]])^(-1)","A",1
6781,1,20,24,0.3903163,"\int \frac{\left(-2916 x-1458 x^2\right) \log \left(4+4 x+x^2\right)-108 x \log \left(\log \left(4+4 x+x^2\right)\right)+(-54-27 x) \log \left(4+4 x+x^2\right) \log ^2\left(\log \left(4+4 x+x^2\right)\right)}{\left(1458 x^4+729 x^5\right) \log \left(4+4 x+x^2\right)+\left(108 x^3+54 x^4\right) \log \left(4+4 x+x^2\right) \log ^2\left(\log \left(4+4 x+x^2\right)\right)+\left(2 x^2+x^3\right) \log \left(4+4 x+x^2\right) \log ^4\left(\log \left(4+4 x+x^2\right)\right)} \, dx","Integrate[((-2916*x - 1458*x^2)*Log[4 + 4*x + x^2] - 108*x*Log[Log[4 + 4*x + x^2]] + (-54 - 27*x)*Log[4 + 4*x + x^2]*Log[Log[4 + 4*x + x^2]]^2)/((1458*x^4 + 729*x^5)*Log[4 + 4*x + x^2] + (108*x^3 + 54*x^4)*Log[4 + 4*x + x^2]*Log[Log[4 + 4*x + x^2]]^2 + (2*x^2 + x^3)*Log[4 + 4*x + x^2]*Log[Log[4 + 4*x + x^2]]^4),x]","\frac{27}{x \left(27 x+\log ^2\left(\log \left((x+2)^2\right)\right)\right)}","\frac{3}{x \left(3 x+\frac{1}{9} \log ^2\left(\log \left((x+2)^2\right)\right)\right)}",1,"27/(x*(27*x + Log[Log[(2 + x)^2]]^2))","A",1
6782,1,55,32,0.0476762,"\int \frac{1+2 x+x^2+e^3 \left(-3-7 x+4 x^2+20 x^3+15 x^4+3 x^5\right)+e^3 \left(-60-50 x-25 x^2-5 x^3\right) \log (3)}{3+7 x+5 x^2+x^3} \, dx","Integrate[(1 + 2*x + x^2 + E^3*(-3 - 7*x + 4*x^2 + 20*x^3 + 15*x^4 + 3*x^5) + E^3*(-60 - 50*x - 25*x^2 - 5*x^3)*Log[3])/(3 + 7*x + 5*x^2 + x^3),x]","e^3 (x+1)^3-3 e^3 (x+1)^2+e^3 (x+1) (2-5 \log (3))+\log (x+3)+\frac{e^3 (25 \log (3)-2 \log (243))}{x+1}","\log (x+3)-e^3 \left(x \left(\frac{5 (x+4) \log (3)}{x+1}-x^2\right)+x\right)",1,"-3*E^3*(1 + x)^2 + E^3*(1 + x)^3 + E^3*(1 + x)*(2 - 5*Log[3]) + (E^3*(25*Log[3] - 2*Log[243]))/(1 + x) + Log[3 + x]","A",1
6783,1,18,19,0.0545793,"\int \frac{-9 x^2+9 e^x x^2+e^{\frac{1+x^3}{x}} \left(-9+18 x^3\right)}{x^2} \, dx","Integrate[(-9*x^2 + 9*E^x*x^2 + E^((1 + x^3)/x)*(-9 + 18*x^3))/x^2,x]","9 \left(e^{x^2+\frac{1}{x}}-x+e^x\right)","9 \left(e^{x \left(\frac{1}{x^2}+x\right)}-x+e^x-3\right)",1,"9*(E^x + E^(x^(-1) + x^2) - x)","A",1
6784,1,31,26,1.6846118,"\int \frac{-90 e^x+e^{2 x} (-180-72 x)+\left(180 e^{2 x}+e^x (90+90 x)\right) \log (x)+\left(50 e^x-40 e^{2 x}\right) \log ^2(x)}{\left(25+e^x (100+40 x)+e^{2 x} \left(100+80 x+16 x^2\right)\right) \log ^2(x)} \, dx","Integrate[(-90*E^x + E^(2*x)*(-180 - 72*x) + (180*E^(2*x) + E^x*(90 + 90*x))*Log[x] + (50*E^x - 40*E^(2*x))*Log[x]^2)/((25 + E^x*(100 + 40*x) + E^(2*x)*(100 + 80*x + 16*x^2))*Log[x]^2),x]","\frac{2 e^x (9 x+5 \log (x))}{\left(2 e^x (2 x+5)+5\right) \log (x)}","\frac{\frac{9 x}{\log (x)}+5}{2 x+\frac{5 e^{-x}}{2}+5}",1,"(2*E^x*(9*x + 5*Log[x]))/((5 + 2*E^x*(5 + 2*x))*Log[x])","A",1
6785,1,13,19,0.010199,"\int e^{7-e^{2+x}+x} \, dx","Integrate[E^(7 - E^(2 + x) + x),x]","-e^{5-e^{x+2}}","e^{16+e}-e^{5-e^{x+2}}",1,"-E^(5 - E^(2 + x))","A",1
6786,1,30,22,0.1034788,"\int \frac{2^{\frac{10 x}{6 \log (x)+2 e^{\frac{x^2}{e^5}} \log (x)}} \left(-15 \log (2)+15 \log (2) \log (x)+e^{\frac{x^2}{e^5}} \left(-5 \log (2)+5 \log (2) \log (x)-\frac{10 x^2 \log (2) \log (x)}{e^5}\right)\right)}{9 \log ^2(x)+6 e^{\frac{x^2}{e^5}} \log ^2(x)+e^{\frac{2 x^2}{e^5}} \log ^2(x)} \, dx","Integrate[(2^((10*x)/(6*Log[x] + 2*E^(x^2/E^5)*Log[x]))*(-15*Log[2] + 15*Log[2]*Log[x] + E^(x^2/E^5)*(-5*Log[2] + 5*Log[2]*Log[x] - (10*x^2*Log[2]*Log[x])/E^5)))/(9*Log[x]^2 + 6*E^(x^2/E^5)*Log[x]^2 + E^((2*x^2)/E^5)*Log[x]^2),x]","\frac{5 \log (2) 2^{\frac{5 x}{\left(e^{\frac{x^2}{e^5}}+3\right) \log (x)}}}{\log (32)}","2^{\frac{5 x}{\left(e^{\frac{x^2}{e^5}}+3\right) \log (x)}}",1,"(5*2^((5*x)/((3 + E^(x^2/E^5))*Log[x]))*Log[2])/Log[32]","A",1
6787,1,32,23,0.545736,"\int \frac{-x+\frac{e^{3-x-30 \log (5) \log \left(x^2\right)-3 \log (5) \log ^2\left(x^2\right)} \left(-x-60 \log (5)-12 \log (5) \log \left(x^2\right)\right)}{26469779601696885595885078146238811314105987548828125}}{x} \, dx","Integrate[(-x + (E^(3 - x - 30*Log[5]*Log[x^2] - 3*Log[5]*Log[x^2]^2)*(-x - 60*Log[5] - 12*Log[5]*Log[x^2]))/26469779601696885595885078146238811314105987548828125)/x,x]","5^{-3 \left(\log ^2\left(x^2\right)+25\right)} e^{-30 \log (5) \log \left(x^2\right)-x+3}-x","e^{-3 \log (5) \left(\log \left(x^2\right)+5\right)^2-x+3}-x",1,"E^(3 - x - 30*Log[5]*Log[x^2])/5^(3*(25 + Log[x^2]^2)) - x","A",1
6788,1,17,15,0.0025615,"\int \frac{4+2 x}{4 x+x^2} \, dx","Integrate[(4 + 2*x)/(4*x + x^2),x]","2 \left(\frac{\log (x)}{2}+\frac{1}{2} \log (x+4)\right)","\log \left(\left(4+5 e^3\right)^2 x (x+4)\right)",1,"2*(Log[x]/2 + Log[4 + x]/2)","A",1
6789,1,17,21,2.1937126,"\int e^{(4+x)^{x^2} \left(-10 x+10 x^3\right)} (4+x)^{-1+x^2} \left(-40-10 x+120 x^2+20 x^3+10 x^5+\left(-80 x^2-20 x^3+80 x^4+20 x^5\right) \log (4+x)\right) \, dx","Integrate[E^((4 + x)^x^2*(-10*x + 10*x^3))*(4 + x)^(-1 + x^2)*(-40 - 10*x + 120*x^2 + 20*x^3 + 10*x^5 + (-80*x^2 - 20*x^3 + 80*x^4 + 20*x^5)*Log[4 + x]),x]","e^{10 x (x+4)^{x^2} \left(x^2-1\right)}","e^{5 (x+4)^{x^2} (2 x-2) \left(x^2+x\right)}",1,"E^(10*x*(4 + x)^x^2*(-1 + x^2))","A",1
6790,1,18,18,0.0056765,"\int \frac{8+e^3-4 x}{12+e^3 (-5+x)+8 x-2 x^2} \, dx","Integrate[(8 + E^3 - 4*x)/(12 + E^3*(-5 + x) + 8*x - 2*x^2),x]","\log \left(-2 x^2+8 x+e^3 (x-5)+12\right)","\log \left(2-(x-5) \left(2 x-e^3+2\right)\right)",1,"Log[12 + E^3*(-5 + x) + 8*x - 2*x^2]","A",1
6791,1,13,17,0.0123589,"\int \frac{-1+(1-2 x) \log (2 x)}{x \log (2 x)} \, dx","Integrate[(-1 + (1 - 2*x)*Log[2*x])/(x*Log[2*x]),x]","-2 x+\log (x)-\log (\log (2 x))","\log (x)-\log \left(5 e^{2 x} \log (2 x)\right)",1,"-2*x + Log[x] - Log[Log[2*x]]","A",1
6792,1,28,25,0.735266,"\int \frac{-40-80 e^x-40 e^{2 x}+e^{2 x+x^2} \left(-240+e^x (-120-240 x)-240 x\right)}{9+9 e^{4 x+2 x^2}-6 x+x^2+e^{2 x} \left(9-6 x+x^2\right)+e^x \left(18-12 x+2 x^2\right)+e^{2 x+x^2} \left(-18+6 x+e^x (-18+6 x)\right)} \, dx","Integrate[(-40 - 80*E^x - 40*E^(2*x) + E^(2*x + x^2)*(-240 + E^x*(-120 - 240*x) - 240*x))/(9 + 9*E^(4*x + 2*x^2) - 6*x + x^2 + E^(2*x)*(9 - 6*x + x^2) + E^x*(18 - 12*x + 2*x^2) + E^(2*x + x^2)*(-18 + 6*x + E^x*(-18 + 6*x))),x]","\frac{40 \left(e^x+1\right)}{e^x (x-3)+3 e^{x (x+2)}+x-3}","\frac{40}{3 \left(\frac{e^{x (x+2)}}{e^x+1}-1\right)+x}",1,"(40*(1 + E^x))/(-3 + 3*E^(x*(2 + x)) + E^x*(-3 + x) + x)","A",1
6793,1,37,30,4.0187116,"\int \frac{-400 x \log (3)-e^{6-2 e^x} x \log (3)+40 e^{3-e^x} x \log (3)+e^{\frac{-80+4 e^{3-e^x}-x}{-20+e^{3-e^x}}} \left(20 x \log (3)+e^{3-e^x} \left(-x \log (3)-e^x x^2 \log (3)\right)\right)+\left(-400 x \log (3)-e^{6-2 e^x} x \log (3)+40 e^{3-e^x} x \log (3)+e^{\frac{-80+4 e^{3-e^x}-x}{-20+e^{3-e^x}}} \left(400 \log (3)+e^{6-2 e^x} \log (3)-40 e^{3-e^x} \log (3)\right)\right) \log \left(e^{\frac{-80+4 e^{3-e^x}-x}{-20+e^{3-e^x}}}-x\right)}{e^{\frac{-80+4 e^{3-e^x}-x}{-20+e^{3-e^x}}} \left(400+e^{6-2 e^x}-40 e^{3-e^x}\right)-400 x-e^{6-2 e^x} x+40 e^{3-e^x} x} \, dx","Integrate[(-400*x*Log[3] - E^(6 - 2*E^x)*x*Log[3] + 40*E^(3 - E^x)*x*Log[3] + E^((-80 + 4*E^(3 - E^x) - x)/(-20 + E^(3 - E^x)))*(20*x*Log[3] + E^(3 - E^x)*(-(x*Log[3]) - E^x*x^2*Log[3])) + (-400*x*Log[3] - E^(6 - 2*E^x)*x*Log[3] + 40*E^(3 - E^x)*x*Log[3] + E^((-80 + 4*E^(3 - E^x) - x)/(-20 + E^(3 - E^x)))*(400*Log[3] + E^(6 - 2*E^x)*Log[3] - 40*E^(3 - E^x)*Log[3]))*Log[E^((-80 + 4*E^(3 - E^x) - x)/(-20 + E^(3 - E^x))) - x])/(E^((-80 + 4*E^(3 - E^x) - x)/(-20 + E^(3 - E^x)))*(400 + E^(6 - 2*E^x) - 40*E^(3 - E^x)) - 400*x - E^(6 - 2*E^x)*x + 40*E^(3 - E^x)*x),x]","x \log (3) \log \left(e^{\frac{1}{20} \left(-\frac{e^3 x}{e^3-20 e^{e^x}}+x+80\right)}-x\right)","x \log (3) \log \left(e^{\frac{x}{20-e^{3-e^x}}+4}-x\right)",1,"x*Log[3]*Log[E^((80 + x - (E^3*x)/(E^3 - 20*E^E^x))/20) - x]","A",1
6794,1,25,24,0.0279819,"\int \left(-1-6 x+e^{6 x+2 x^2} \left(-1-6 x-4 x^2\right)+e^{2 x^2} \left(1+4 x^2\right)\right) \, dx","Integrate[-1 - 6*x + E^(6*x + 2*x^2)*(-1 - 6*x - 4*x^2) + E^(2*x^2)*(1 + 4*x^2),x]","-x \left(-e^{2 x^2}+3 x+e^{2 x (x+3)}+1\right)","\left(e^{2 x^2}-3 x-e^{2 x (x+3)}-1\right) x",1,"-(x*(1 - E^(2*x^2) + E^(2*x*(3 + x)) + 3*x))","A",1
6795,1,21,31,0.0024365,"\int \frac{-90+49 x-4 x^3}{9 e x^3} \, dx","Integrate[(-90 + 49*x - 4*x^3)/(9*E*x^3),x]","-\frac{-\frac{45}{x^2}+4 x+\frac{49}{x}}{9 e}","\frac{-\frac{1}{9} (7-2 x)^2+\frac{x}{3}+\frac{5}{x}}{e x}+1",1,"-1/9*(-45/x^2 + 49/x + 4*x)/E","A",1
6796,1,30,27,0.0377465,"\int \frac{e^x \left(-5+5 x+x^2\right)-x^2 \log \left(\frac{5+x}{3}\right)}{x^2} \, dx","Integrate[(E^x*(-5 + 5*x + x^2) - x^2*Log[(5 + x)/3])/x^2,x]","x+e^x+\frac{5 e^x}{x}+x (-\log (x+5))+x \log (3)-5 \log (x+5)","x+(x+5) \left(\frac{e^x}{x}-\log \left(\frac{x+5}{3}\right)\right)+\frac{13}{2}",1,"E^x + (5*E^x)/x + x + x*Log[3] - 5*Log[5 + x] - x*Log[5 + x]","A",1
6797,1,909,24,3.6722987,"\int \frac{4+e^5+2 x+\frac{1}{32} e^{x+x \log (3)} \left(4+e^5+2 x\right)^5 \left(14+e^5+2 x+\left(4+e^5+2 x\right) \log (3)\right)}{4+e^5+2 x} \, dx","Integrate[(4 + E^5 + 2*x + (E^(x + x*Log[3])*(4 + E^5 + 2*x)^5*(14 + E^5 + 2*x + (4 + E^5 + 2*x)*Log[3]))/32)/(4 + E^5 + 2*x),x]","\frac{32\ 3^{x+1} e^x \left(5 (1+\log (3))^5 x^4+4 (1+\log (3))^4 (-5+(1+\log (3)) \log (9)) x^3+2 (1+\log (3))^2 \left(-20-\log (9)+\log ^2(3) (-40+\log (81))+2 \log ^3(3) \log (81)+\log (27) \log (81)-2 \log (3) (25+\log (81))\right) x^2+4 (1+\log (3)) \left(40+20 \log ^4(3)-2 \log ^2(3) (-80+\log (9))+\log (3) (130-3 \log (81))-2 \log ^3(3) (-40+\log (81))+\log (9) (1+\log (81))\right) x-4 \left(40+20 \log ^4(3)-2 \log ^2(3) (-80+\log (9))+\log (3) (130-3 \log (81))-2 \log ^3(3) (-40+\log (81))+\log (9) (1+\log (81))\right)\right)+8\ 3^x e^{x+15} (1+\log (3))^3 \left(\left(5+13 \log (3)+3 \log ^3(3)+\log (9)+\log ^2(9)+\log ^2(3) (11+\log (9))\right) x^2+\left(20+56 \log (3)+12 \log ^3(3)+\log ^2(9)+\log (81)+\log (9) \log (81)+2 \log ^2(3) (24+\log (81))\right) x+\log (59049)+2 \log ^2(3) (26+\log (81))+\log (27) \log (81)-\log ^2(9)+12 \log ^3(3)+50 \log (3)+20\right)+3^x e^{x+20} (1+\log (3))^4 \left((1+\log (3)) (10+\log (59049)) x+\log (3) (38+\log (81))+\log (9)+16 \log ^2(3)+20\right)+16 (1+\log (3))^3 \left((3 e)^x (1+\log (3))^2 (2+\log (9)) x^5+(3 e)^x (1+\log (3)) (-10+\log (3) (8 \log (9)+\log (81))+\log (59049)) x^4+4 (3 e)^x \left(50-8 \log (3) (-10+\log (9))-\log (9)+\log (27) \log (81)+2 \log ^2(3) (20+\log (81))\right) x^3+16 (3 e)^x (1+\log (3))^2 (25+\log (81)) x^2+2 (1+\log (3)) \left(1+\log ^2(3)+\log (9)-8\ 3^{x+1} e^x \log (9)+8 (3 e)^x (-50+\log (3) \log (9)+\log (9) \log (81)+\log (6561))\right) x+16 (3 e)^x \left(64-\log (3) (-28+\log (9))+\log (9)+\log ^2(3) (14+\log (81))\right)\right)+16\ 3^x e^{x+5} (1+\log (3)) \left((1+\log (3))^4 (5+\log (243)) x^4+2 (1+\log (3))^3 \left(20+4 \log ^2(3)+\log (3) (34+6 \log (9)+\log (81))+\log (729)\right) x^3+6 (1+\log (3))^2 \left(20+50 \log (3)+4 \log ^3(3)+\log ^2(9)+\log (27) \log (81)+2 \log ^2(3) (22+\log (6561))+\log (59049)\right) x^2+4 (1+\log (3)) \left(40+8 \log ^4(3)+8 \log ^3(3) (14+\log (81))+12 \log ^2(3) (16+\log (81))+\log (3) (152+6 \log (9)+9 \log (81))+\log (6561)\right) x+4 \left(20+4 \log ^5(3)+4 \log ^4(3) (17+\log (81))+4 \log ^2(3) (46+3 \log (81))+\log ^3(3) (152-4 \log (9)+10 \log (81))+\log (4782969)+\log (3) (86+\log (43046721))\right)\right)+8\ 3^x e^{x+10} (1+\log (3))^2 \left((1+\log (3))^3 (10+\log (59049)) x^3+3 (1+\log (3))^2 (20+\log (3) \log (81)+(2+\log (9)) \log (6561)+\log (282429536481)) x^2+6 (1+\log (3)) \left(20+50 \log (3)+8 \log ^3(3)+\log (27) \log (81)+3 \log ^2(3) (16+\log (81))+\log (59049)\right) x+2 \left(40+16 \log ^4(3)+2 \log ^3(3) (62+3 \log (81))+\log (3) (154+9 \log (81))+\log (729)+6 \log ^2(3) (34+\log (729))\right)\right)+3^x e^{x+25} (1+\log (3))^6}{32 (1+\log (3))^6}","x+\left(x+\frac{1}{2} \left(4+e^5\right)\right)^5 e^{x+x \log (3)}",1,"(3^x*E^(25 + x)*(1 + Log[3])^6 + 32*3^(1 + x)*E^x*(5*x^4*(1 + Log[3])^5 + 4*x^3*(1 + Log[3])^4*(-5 + (1 + Log[3])*Log[9]) - 4*(40 + 20*Log[3]^4 - 2*Log[3]^2*(-80 + Log[9]) + Log[3]*(130 - 3*Log[81]) - 2*Log[3]^3*(-40 + Log[81]) + Log[9]*(1 + Log[81])) + 4*x*(1 + Log[3])*(40 + 20*Log[3]^4 - 2*Log[3]^2*(-80 + Log[9]) + Log[3]*(130 - 3*Log[81]) - 2*Log[3]^3*(-40 + Log[81]) + Log[9]*(1 + Log[81])) + 2*x^2*(1 + Log[3])^2*(-20 - Log[9] + Log[3]^2*(-40 + Log[81]) + 2*Log[3]^3*Log[81] + Log[27]*Log[81] - 2*Log[3]*(25 + Log[81]))) + 8*3^x*E^(15 + x)*(1 + Log[3])^3*(20 + 50*Log[3] + 12*Log[3]^3 - Log[9]^2 + x^2*(5 + 13*Log[3] + 3*Log[3]^3 + Log[9] + Log[9]^2 + Log[3]^2*(11 + Log[9])) + Log[27]*Log[81] + 2*Log[3]^2*(26 + Log[81]) + x*(20 + 56*Log[3] + 12*Log[3]^3 + Log[9]^2 + Log[81] + Log[9]*Log[81] + 2*Log[3]^2*(24 + Log[81])) + Log[59049]) + 3^x*E^(20 + x)*(1 + Log[3])^4*(20 + 16*Log[3]^2 + Log[9] + Log[3]*(38 + Log[81]) + x*(1 + Log[3])*(10 + Log[59049])) + 16*(1 + Log[3])^3*((3*E)^x*x^5*(1 + Log[3])^2*(2 + Log[9]) + 16*(3*E)^x*x^2*(1 + Log[3])^2*(25 + Log[81]) + 16*(3*E)^x*(64 - Log[3]*(-28 + Log[9]) + Log[9] + Log[3]^2*(14 + Log[81])) + 4*(3*E)^x*x^3*(50 - 8*Log[3]*(-10 + Log[9]) - Log[9] + Log[27]*Log[81] + 2*Log[3]^2*(20 + Log[81])) + 2*x*(1 + Log[3])*(1 + Log[3]^2 + Log[9] - 8*3^(1 + x)*E^x*Log[9] + 8*(3*E)^x*(-50 + Log[3]*Log[9] + Log[9]*Log[81] + Log[6561])) + (3*E)^x*x^4*(1 + Log[3])*(-10 + Log[3]*(8*Log[9] + Log[81]) + Log[59049])) + 16*3^x*E^(5 + x)*(1 + Log[3])*(x^4*(1 + Log[3])^4*(5 + Log[243]) + 2*x^3*(1 + Log[3])^3*(20 + 4*Log[3]^2 + Log[3]*(34 + 6*Log[9] + Log[81]) + Log[729]) + 4*x*(1 + Log[3])*(40 + 8*Log[3]^4 + 8*Log[3]^3*(14 + Log[81]) + 12*Log[3]^2*(16 + Log[81]) + Log[3]*(152 + 6*Log[9] + 9*Log[81]) + Log[6561]) + 6*x^2*(1 + Log[3])^2*(20 + 50*Log[3] + 4*Log[3]^3 + Log[9]^2 + Log[27]*Log[81] + 2*Log[3]^2*(22 + Log[6561]) + Log[59049]) + 4*(20 + 4*Log[3]^5 + 4*Log[3]^4*(17 + Log[81]) + 4*Log[3]^2*(46 + 3*Log[81]) + Log[3]^3*(152 - 4*Log[9] + 10*Log[81]) + Log[4782969] + Log[3]*(86 + Log[43046721]))) + 8*3^x*E^(10 + x)*(1 + Log[3])^2*(2*(40 + 16*Log[3]^4 + 2*Log[3]^3*(62 + 3*Log[81]) + Log[3]*(154 + 9*Log[81]) + Log[729] + 6*Log[3]^2*(34 + Log[729])) + x^3*(1 + Log[3])^3*(10 + Log[59049]) + 6*x*(1 + Log[3])*(20 + 50*Log[3] + 8*Log[3]^3 + Log[27]*Log[81] + 3*Log[3]^2*(16 + Log[81]) + Log[59049]) + 3*x^2*(1 + Log[3])^2*(20 + Log[3]*Log[81] + (2 + Log[9])*Log[6561] + Log[282429536481])))/(32*(1 + Log[3])^6)","B",0
6798,1,24,22,0.2081194,"\int \frac{1}{2} \exp \left(-2 x-\frac{1}{2} e^{-2 x} \left(1-x+4 e^{2 x} x\right)\right) \left(e^{2 x} (2-4 x)+3 x-2 x^2\right) \, dx","Integrate[(E^(-2*x - (1 - x + 4*E^(2*x)*x)/(2*E^(2*x)))*(E^(2*x)*(2 - 4*x) + 3*x - 2*x^2))/2,x]","e^{\frac{1}{2} e^{-2 x} \left(-4 e^{2 x} x+x-1\right)} x","e^{-\frac{1}{2} e^{-2 x} (1-x)-2 x} x",1,"E^((-1 + x - 4*E^(2*x)*x)/(2*E^(2*x)))*x","A",1
6799,1,29,22,0.3312778,"\int \frac{-9+x^2+4 x^3+e^{x^2} \left(8 x^3+8 x^5\right)}{9 x+9 x^2+x^3+2 x^4+4 e^{x^2} x^4} \, dx","Integrate[(-9 + x^2 + 4*x^3 + E^x^2*(8*x^3 + 8*x^5))/(9*x + 9*x^2 + x^3 + 2*x^4 + 4*E^x^2*x^4),x]","\log \left(2 x^3+x^2+4 e^{x^2} x^3+9 x+9\right)-\log (x)","\log \left(\left(4 e^{x^2}+2\right) x^2+x+\frac{9}{x}+9\right)",1,"-Log[x] + Log[9 + 9*x + x^2 + 2*x^3 + 4*E^x^2*x^3]","A",1
6800,1,23,33,0.0443486,"\int \frac{1}{5} e^{-x^2} \left(10 e^{x^2}-10 x+e^{2 x+2 x^2} \left(1+2 x+2 x^2\right)\right) \, dx","Integrate[(10*E^x^2 - 10*x + E^(2*x + 2*x^2)*(1 + 2*x + 2*x^2))/(5*E^x^2),x]","e^{-x^2}+\frac{1}{5} e^{x (x+2)} x+2 x","\frac{e^{-x^2} \left(\frac{1}{5} e^{x (2 x+2)} x^2+x\right)}{x}+2 x",1,"E^(-x^2) + 2*x + (E^(x*(2 + x))*x)/5","A",1
6801,1,34,27,0.1264234,"\int \frac{e^5 (5-2 x)-e^5 \log (4)+e^{\frac{e^e-2 x^2}{e^5}} \left(-e^5+4 x^2+4 x \log (4)\right)}{e^5} \, dx","Integrate[(E^5*(5 - 2*x) - E^5*Log[4] + E^((E^E - 2*x^2)/E^5)*(-E^5 + 4*x^2 + 4*x*Log[4]))/E^5,x]","-\frac{1}{4} e^{\frac{e^e-2 x^2}{e^5}} (4 x+\log (256))-x (x-5+\log (4))","\left(-e^{\frac{e^e-2 x^2}{e^5}}-x+5\right) (x+\log (4))",1,"-(x*(-5 + x + Log[4])) - (E^((E^E - 2*x^2)/E^5)*(4*x + Log[256]))/4","A",1
6802,1,33,25,0.234021,"\int \frac{e^x \left(10 x+14 x^2+4 x^3+\left(16 x+8 x^2\right) \log (3)+4 x \log ^2(3)\right)+\left(e^x \left(2 x+5 x^2+5 x^3+2 x^4+\left(4 x+8 x^2+4 x^3\right) \log (3)+\left(2 x+2 x^2\right) \log ^2(3)\right)+e^x \left(2+5 x+5 x^2+2 x^3+\left(4+8 x+4 x^2\right) \log (3)+(2+2 x) \log ^2(3)\right) \log \left(-2-3 x-2 x^2+(-4-4 x) \log (3)-2 \log ^2(3)\right)\right) \log \left(x+\log \left(-2-3 x-2 x^2+(-4-4 x) \log (3)-2 \log ^2(3)\right)\right) \log \left(\log ^2\left(x+\log \left(-2-3 x-2 x^2+(-4-4 x) \log (3)-2 \log ^2(3)\right)\right)\right)}{\left(2 x+3 x^2+2 x^3+\left(4 x+4 x^2\right) \log (3)+2 x \log ^2(3)+\left(2+3 x+2 x^2+(4+4 x) \log (3)+2 \log ^2(3)\right) \log \left(-2-3 x-2 x^2+(-4-4 x) \log (3)-2 \log ^2(3)\right)\right) \log \left(x+\log \left(-2-3 x-2 x^2+(-4-4 x) \log (3)-2 \log ^2(3)\right)\right)} \, dx","Integrate[(E^x*(10*x + 14*x^2 + 4*x^3 + (16*x + 8*x^2)*Log[3] + 4*x*Log[3]^2) + (E^x*(2*x + 5*x^2 + 5*x^3 + 2*x^4 + (4*x + 8*x^2 + 4*x^3)*Log[3] + (2*x + 2*x^2)*Log[3]^2) + E^x*(2 + 5*x + 5*x^2 + 2*x^3 + (4 + 8*x + 4*x^2)*Log[3] + (2 + 2*x)*Log[3]^2)*Log[-2 - 3*x - 2*x^2 + (-4 - 4*x)*Log[3] - 2*Log[3]^2])*Log[x + Log[-2 - 3*x - 2*x^2 + (-4 - 4*x)*Log[3] - 2*Log[3]^2]]*Log[Log[x + Log[-2 - 3*x - 2*x^2 + (-4 - 4*x)*Log[3] - 2*Log[3]^2]]^2])/((2*x + 3*x^2 + 2*x^3 + (4*x + 4*x^2)*Log[3] + 2*x*Log[3]^2 + (2 + 3*x + 2*x^2 + (4 + 4*x)*Log[3] + 2*Log[3]^2)*Log[-2 - 3*x - 2*x^2 + (-4 - 4*x)*Log[3] - 2*Log[3]^2])*Log[x + Log[-2 - 3*x - 2*x^2 + (-4 - 4*x)*Log[3] - 2*Log[3]^2]]),x]","e^x x \log \left(\log ^2\left(\log \left(-2 x^2-x (3+\log (81))-2 (1+\log (3))^2\right)+x\right)\right)","e^x x \log \left(\log ^2\left(x+\log \left(x-2 (x+1+\log (3))^2\right)\right)\right)-3",1,"E^x*x*Log[Log[x + Log[-2*x^2 - 2*(1 + Log[3])^2 - x*(3 + Log[81])]]^2]","A",1
6803,1,13,19,0.0218644,"\int \frac{1+2 x+e^{1-2 x+x^2} \left(-2 x+2 x^2\right)}{x} \, dx","Integrate[(1 + 2*x + E^(1 - 2*x + x^2)*(-2*x + 2*x^2))/x,x]","2 x+e^{(x-1)^2}+\log (x)","2 x+e^{(x-1)^2}+\log (x)-\frac{5}{e^2}-3",1,"E^(-1 + x)^2 + 2*x + Log[x]","A",1
6804,1,28,30,0.0434217,"\int \frac{-10-25 x+5 x^2+5 x^3+e^x \left(-x^3-x^4\right)-20 \log (x)}{x^3} \, dx","Integrate[(-10 - 25*x + 5*x^2 + 5*x^3 + E^x*(-x^3 - x^4) - 20*Log[x])/x^3,x]","-\frac{\left(e^x-5\right) x^3-5 \left(x^2+2\right) \log (x)-25 x-10}{x^2}","\frac{5 \left(x^2+\frac{\left(x^2+2\right) (\log (x)+1)}{x}+5\right)}{x}-e^x x",1,"-((-10 - 25*x + (-5 + E^x)*x^3 - 5*(2 + x^2)*Log[x])/x^2)","A",1
6805,1,69,21,0.0815382,"\int \left(-36 x+12 e^3 x^2-e^6 x^3+\left(-12 x+2 e^3 x^2\right) \log (4)-x \log ^2(4)+\left(-72 x+36 e^3 x^2-4 e^6 x^3+\left(-24 x+6 e^3 x^2\right) \log (4)-2 x \log ^2(4)\right) \log (x)\right) \, dx","Integrate[-36*x + 12*E^3*x^2 - E^6*x^3 + (-12*x + 2*E^3*x^2)*Log[4] - x*Log[4]^2 + (-72*x + 36*E^3*x^2 - 4*E^6*x^3 + (-24*x + 6*E^3*x^2)*Log[4] - 2*x*Log[4]^2)*Log[x],x]","-e^6 x^4 \log (x)+2 e^3 x^3 \log (4) \log (x)+12 e^3 x^3 \log (x)-2 x^2 \log (2) \log (4) \log (x)-6 x^2 \log (4) \log (x)-12 x^2 \log (2) \log (x)-36 x^2 \log (x)","5-x^2 \left(-e^3 x+6+\log (4)\right)^2 \log (x)",1,"-36*x^2*Log[x] + 12*E^3*x^3*Log[x] - E^6*x^4*Log[x] - 12*x^2*Log[2]*Log[x] - 6*x^2*Log[4]*Log[x] + 2*E^3*x^3*Log[4]*Log[x] - 2*x^2*Log[2]*Log[4]*Log[x]","B",1
6806,1,19,21,0.0247366,"\int e^{1+x} \left(1+2 x+x^2+x^3\right) \, dx","Integrate[E^(1 + x)*(1 + 2*x + x^2 + x^3),x]","e^{x+1} \left(x^3-2 x^2+6 x-5\right)","e^{x+1} (1-x) \left(-x^2+x-5\right)+1",1,"E^(1 + x)*(-5 + 6*x - 2*x^2 + x^3)","A",1
6807,1,23,25,0.3788826,"\int \frac{\left(48600 x+20250 e^{2+2 x} x\right) \log (\log (x))+\left(48600 x+e^{2+2 x} \left(20250 x-81000 x^2\right)\right) \log (x) \log ^2(\log (x))}{\left(248832+518400 e^{2+2 x}+432000 e^{4+4 x}+180000 e^{6+6 x}+37500 e^{8+8 x}+3125 e^{10+10 x}\right) \log (x)} \, dx","Integrate[((48600*x + 20250*E^(2 + 2*x)*x)*Log[Log[x]] + (48600*x + E^(2 + 2*x)*(20250*x - 81000*x^2))*Log[x]*Log[Log[x]]^2)/((248832 + 518400*E^(2 + 2*x) + 432000*E^(4 + 4*x) + 180000*E^(6 + 6*x) + 37500*E^(8 + 8*x) + 3125*E^(10 + 10*x))*Log[x]),x]","\frac{2025 x^2 \log ^2(\log (x))}{\left(5 e^{2 x+2}+12\right)^4}","\frac{25 x^2 \log ^2(\log (x))}{\left(\frac{5}{3} e^{2 x+2}+4\right)^4}",1,"(2025*x^2*Log[Log[x]]^2)/(12 + 5*E^(2 + 2*x))^4","A",1
6808,1,25,24,0.3489019,"\int \frac{10 x+2 x^2-10 x^3-2 x^4+\left(-60+30 x+23 x^2-10 x^3-x^4\right) \log \left(\frac{1}{10} \left(-20+10 x+x^2\right)\right)}{\left(-20 x^4+10 x^5+x^6\right) \log ^2\left(\frac{1}{10} \left(-20+10 x+x^2\right)\right)} \, dx","Integrate[(10*x + 2*x^2 - 10*x^3 - 2*x^4 + (-60 + 30*x + 23*x^2 - 10*x^3 - x^4)*Log[(-20 + 10*x + x^2)/10])/((-20*x^4 + 10*x^5 + x^6)*Log[(-20 + 10*x + x^2)/10]^2),x]","-\frac{1-x^2}{x^3 \log \left(\frac{x^2}{10}+x-2\right)}","\frac{x-\frac{1}{x}}{x^2 \log \left(\frac{x^2}{10}+x-2\right)}",1,"-((1 - x^2)/(x^3*Log[-2 + x + x^2/10]))","A",1
6809,1,21,23,1.4720164,"\int \frac{e^{2 x} (-20+4 x) \log \left(\frac{1}{3} (-5+x)\right)+\log \left(3+e^x\right) \left(-12 e^x-4 e^{2 x}+\left(e^{2 x} (-20+4 x)+e^x (-60+12 x)\right) \log \left(\frac{1}{3} (-5+x)\right)\right)}{\left(-15+e^x (-5+x)+3 x\right) \log ^2\left(\frac{1}{3} (-5+x)\right)} \, dx","Integrate[(E^(2*x)*(-20 + 4*x)*Log[(-5 + x)/3] + Log[3 + E^x]*(-12*E^x - 4*E^(2*x) + (E^(2*x)*(-20 + 4*x) + E^x*(-60 + 12*x))*Log[(-5 + x)/3]))/((-15 + E^x*(-5 + x) + 3*x)*Log[(-5 + x)/3]^2),x]","\frac{4 e^x \log \left(e^x+3\right)}{\log \left(\frac{x-5}{3}\right)}","\frac{4 e^x \log \left(e^x+3\right)}{\log \left(\frac{x-5}{3}\right)}-5",1,"(4*E^x*Log[3 + E^x])/Log[(-5 + x)/3]","A",1
6810,1,26,23,0.145415,"\int \frac{-20-160 x-315 x^2-195 x^3-25 x^4+e^4 \left(96+256 x+190 x^2+25 x^3\right)+\left(-20 x-45 x^2-25 x^3+e^4 \left(16+40 x+25 x^2\right)\right) \log \left(\frac{e^4 (-4-5 x)+5 x+5 x^2}{4+5 x}\right)}{-100 x-245 x^2-170 x^3-25 x^4+e^4 \left(80+216 x+165 x^2+25 x^3\right)+\left(-20 x-45 x^2-25 x^3+e^4 \left(16+40 x+25 x^2\right)\right) \log \left(\frac{e^4 (-4-5 x)+5 x+5 x^2}{4+5 x}\right)} \, dx","Integrate[(-20 - 160*x - 315*x^2 - 195*x^3 - 25*x^4 + E^4*(96 + 256*x + 190*x^2 + 25*x^3) + (-20*x - 45*x^2 - 25*x^3 + E^4*(16 + 40*x + 25*x^2))*Log[(E^4*(-4 - 5*x) + 5*x + 5*x^2)/(4 + 5*x)])/(-100*x - 245*x^2 - 170*x^3 - 25*x^4 + E^4*(80 + 216*x + 165*x^2 + 25*x^3) + (-20*x - 45*x^2 - 25*x^3 + E^4*(16 + 40*x + 25*x^2))*Log[(E^4*(-4 - 5*x) + 5*x + 5*x^2)/(4 + 5*x)]),x]","x+\log \left(x+\log \left(\frac{5 x (x+1)}{5 x+4}-e^4\right)+5\right)","x+\log \left(x+\log \left(\frac{x}{5 x+4}+x-e^4\right)+5\right)",1,"x + Log[5 + x + Log[-E^4 + (5*x*(1 + x))/(4 + 5*x)]]","A",1
6811,1,77,31,0.2743776,"\int \frac{392-49 x+9 x^3 \log ^2(3)+e^{2 x} \left(72-81 x+18 x^2\right) \log ^2(3)+e^x \left(\left(336-210 x+42 x^2\right) \log (3)+\left(72-45 x+9 x^2\right) \log ^2(3)\right)}{-196 x+49 x^2+9 x^4 \log ^2(3)+e^{2 x} \left(-36 x+9 x^2\right) \log ^2(3)+e^x \left(\left(-168 x+42 x^2\right) \log (3)+\left(-36 x+9 x^2\right) \log ^2(3)\right)} \, dx","Integrate[(392 - 49*x + 9*x^3*Log[3]^2 + E^(2*x)*(72 - 81*x + 18*x^2)*Log[3]^2 + E^x*((336 - 210*x + 42*x^2)*Log[3] + (72 - 45*x + 9*x^2)*Log[3]^2))/(-196*x + 49*x^2 + 9*x^4*Log[3]^2 + E^(2*x)*(-36*x + 9*x^2)*Log[3]^2 + E^x*((-168*x + 42*x^2)*Log[3] + (-36*x + 9*x^2)*Log[3]^2)),x]","\log \left(-9 x^3 \log ^2(3)-49 x-9 e^{2 x} x \log ^2(3)+36 e^{2 x} \log ^2(3)-3 e^x x \log (3) \log (27)-42 e^x x \log (3)+12 e^x \log (3) \log (27)+168 e^x \log (3)+196\right)-2 \log (x)","\log \left(x-\frac{(4-x) \left(e^x+\left(e^x+\frac{7}{3 \log (3)}\right)^2\right)}{x^2}\right)",1,"-2*Log[x] + Log[196 - 49*x + 168*E^x*Log[3] - 42*E^x*x*Log[3] + 36*E^(2*x)*Log[3]^2 - 9*E^(2*x)*x*Log[3]^2 - 9*x^3*Log[3]^2 + 12*E^x*Log[3]*Log[27] - 3*E^x*x*Log[3]*Log[27]]","B",1
6812,1,31,28,0.5779388,"\int \frac{e^{\frac{3 e^{x^2}+2 x-3 \log (x)}{6 x}} \left(-1+e^{x^2} \left(-1+2 x^2\right)+\log (x)\right)}{8 x^2} \, dx","Integrate[(E^((3*E^x^2 + 2*x - 3*Log[x])/(6*x))*(-1 + E^x^2*(-1 + 2*x^2) + Log[x]))/(8*x^2),x]","\frac{1}{4} e^{\frac{e^{x^2}}{2 x}+\frac{1}{3}} x^{\left.-\frac{1}{2}\right/x}","\frac{1}{4} e^{\frac{e^{x^2}+\frac{2 x}{3}-\log (x)}{2 x}}",1,"E^(1/3 + E^x^2/(2*x))/(4*x^(1/(2*x)))","A",1
6813,1,37,27,0.1367034,"\int \frac{-100 x^2+40 x^3-4 x^4+\left(200 x^2-120 x^3+16 x^4\right) \log (x)+\left(-1-76 x^2+24 x^3\right) \log ^2(x)-\log \left(3 \exp \left(\frac{100 x^2-40 x^3+4 x^4+\left(-40 x^2+8 x^3\right) \log (x)+4 x^2 \log ^2(x)}{\log (x)}\right)\right) \log ^2(x)+8 x^2 \log ^3(x)}{x^2 \log ^2(x)} \, dx","Integrate[(-100*x^2 + 40*x^3 - 4*x^4 + (200*x^2 - 120*x^3 + 16*x^4)*Log[x] + (-1 - 76*x^2 + 24*x^3)*Log[x]^2 - Log[3*E^((100*x^2 - 40*x^3 + 4*x^4 + (-40*x^2 + 8*x^3)*Log[x] + 4*x^2*Log[x]^2)/Log[x])]*Log[x]^2 + 8*x^2*Log[x]^3)/(x^2*Log[x]^2),x]","\frac{\log \left(3 x^{4 x^2} e^{\frac{4 (x-5) x^2 (x+2 \log (x)-5)}{\log (x)}}\right)+1}{x}","\frac{\log \left(3 e^{\frac{4 x^2 (x+\log (x)-5)^2}{\log (x)}}\right)+1}{x}",1,"(1 + Log[3*E^((4*(-5 + x)*x^2*(-5 + x + 2*Log[x]))/Log[x])*x^(4*x^2)])/x","A",1
6814,1,17,17,0.0533904,"\int \frac{-e^{-x}+8 e^{8 x}}{-5+e^{-x}+e^{8 x}} \, dx","Integrate[(-E^(-x) + 8*E^(8*x))/(-5 + E^(-x) + E^(8*x)),x]","\log \left(-5 e^x+e^{9 x}+1\right)-x","\log \left(-e^{-x}-e^{8 x}+5\right)",1,"-x + Log[1 - 5*E^x + E^(9*x)]","A",1
6815,1,22,27,0.7711448,"\int \frac{30+20 x+e^{\left(\frac{3+2 x}{x}\right)^{5 x}} \left(15+10 x+\left(\frac{3+2 x}{x}\right)^{5 x} \left(75 x+\left(-75 x-50 x^2\right) \log \left(\frac{3+2 x}{x}\right)\right)\right)}{6 x^2+4 x^3} \, dx","Integrate[(30 + 20*x + E^((3 + 2*x)/x)^(5*x)*(15 + 10*x + ((3 + 2*x)/x)^(5*x)*(75*x + (-75*x - 50*x^2)*Log[(3 + 2*x)/x])))/(6*x^2 + 4*x^3),x]","-\frac{5 \left(e^{\left(\frac{3}{x}+2\right)^{5 x}}+2\right)}{2 x}","\frac{5 \left(x-e^{\left(\frac{2 x+3}{x}\right)^{5 x}}-2\right)}{2 x}",1,"(-5*(2 + E^(2 + 3/x)^(5*x)))/(2*x)","A",1
6816,1,55,29,0.0973609,"\int \frac{-54 x+(162+54 x) \log \left(\frac{25 x}{4 e^4}\right)-162 \log ^2\left(\frac{25 x}{4 e^4}\right)}{x^3} \, dx","Integrate[(-54*x + (162 + 54*x)*Log[(25*x)/(4*E^4)] - 162*Log[(25*x)/(4*E^4)]^2)/x^3,x]","\frac{27 \left(16 x-4 x \log \left(\frac{25}{4}\right)+3 \left(\log \left(\frac{625}{16}\right)-9\right) \log \left(\frac{25 x}{4}\right)+\log (x) \left(-4 x+6 \log \left(\frac{25 x}{4}\right)-21\right)+96-21 \log \left(\frac{25}{4}\right)\right)}{2 x^2}","9 \left(x-\frac{x^2-x+3 \log \left(\frac{25 x}{4 e^4}\right)}{x}\right)^2",1,"(27*(96 + 16*x - 21*Log[25/4] - 4*x*Log[25/4] + 3*(-9 + Log[625/16])*Log[(25*x)/4] + Log[x]*(-21 - 4*x + 6*Log[(25*x)/4])))/(2*x^2)","A",1
6817,1,36,31,0.2909412,"\int \frac{e^{-2+e^{5 e^x}} \left(-50 x^2+50 e^{-3+x} x^2\right)+e^{-4+2 e^{5 e^x}} \left(50 e^{-3+x} x-50 x^2+e^{5 e^x+x} \left(250 e^{-3+x} x^2-250 x^3\right)\right) \log \left(e^{-3+x}-x\right) \log \left(\log \left(e^{-3+x}-x\right)\right)+\left(-50 x^2+50 e^{-3+x} x^2+e^{-2+e^{5 e^x}} \left(100 e^{-3+x} x-100 x^2+e^{5 e^x+x} \left(250 e^{-3+x} x^2-250 x^3\right)\right) \log \left(e^{-3+x}-x\right) \log \left(\log \left(e^{-3+x}-x\right)\right)\right) \log \left(\log \left(\log \left(e^{-3+x}-x\right)\right)\right)+\left(50 e^{-3+x} x-50 x^2\right) \log \left(e^{-3+x}-x\right) \log \left(\log \left(e^{-3+x}-x\right)\right) \log ^2\left(\log \left(\log \left(e^{-3+x}-x\right)\right)\right)}{\left(e^{-3+x}-x\right) \log \left(e^{-3+x}-x\right) \log \left(\log \left(e^{-3+x}-x\right)\right)} \, dx","Integrate[(E^(-2 + E^(5*E^x))*(-50*x^2 + 50*E^(-3 + x)*x^2) + E^(-4 + 2*E^(5*E^x))*(50*E^(-3 + x)*x - 50*x^2 + E^(5*E^x + x)*(250*E^(-3 + x)*x^2 - 250*x^3))*Log[E^(-3 + x) - x]*Log[Log[E^(-3 + x) - x]] + (-50*x^2 + 50*E^(-3 + x)*x^2 + E^(-2 + E^(5*E^x))*(100*E^(-3 + x)*x - 100*x^2 + E^(5*E^x + x)*(250*E^(-3 + x)*x^2 - 250*x^3))*Log[E^(-3 + x) - x]*Log[Log[E^(-3 + x) - x]])*Log[Log[Log[E^(-3 + x) - x]]] + (50*E^(-3 + x)*x - 50*x^2)*Log[E^(-3 + x) - x]*Log[Log[E^(-3 + x) - x]]*Log[Log[Log[E^(-3 + x) - x]]]^2)/((E^(-3 + x) - x)*Log[E^(-3 + x) - x]*Log[Log[E^(-3 + x) - x]]),x]","\frac{25 x^2 \left(e^{e^{5 e^x}}+e^2 \log \left(\log \left(\log \left(e^{x-3}-x\right)\right)\right)\right)^2}{e^4}","25 x^2 \left(e^{e^{5 e^x}-2}+\log \left(\log \left(\log \left(e^{x-3}-x\right)\right)\right)\right)^2",1,"(25*x^2*(E^E^(5*E^x) + E^2*Log[Log[Log[E^(-3 + x) - x]]])^2)/E^4","A",1
6818,1,27,27,0.0285324,"\int \frac{45+26 x+112 x^2+18 x^3+(-36-6 x) \log (6+x)}{6+x} \, dx","Integrate[(45 + 26*x + 112*x^2 + 18*x^3 + (-36 - 6*x)*Log[6 + x])/(6 + x),x]","6 x^3+2 x^2+8 x-6 x \log (x+6)-3 \log (x+6)","-x^2-3 (2 x+1) \left(-x^2+\log (x+6)-1\right)+2 x",1,"8*x + 2*x^2 + 6*x^3 - 3*Log[6 + x] - 6*x*Log[6 + x]","A",1
6819,1,11,14,0.0073871,"\int \frac{1326-260 x+25 x^2}{676-260 x+25 x^2} \, dx","Integrate[(1326 - 260*x + 25*x^2)/(676 - 260*x + 25*x^2),x]","x+\frac{130}{26-5 x}","\frac{5 x}{\frac{26}{5}-x}+x",1,"130/(26 - 5*x) + x","A",1
6820,1,24,23,0.2930169,"\int e^{-3-2 x} \left(4 e^{2+2 x}+e \left(1+4 x-4 x^2\right)+e (1-2 x) \log (x)\right) \, dx","Integrate[E^(-3 - 2*x)*(4*E^(2 + 2*x) + E*(1 + 4*x - 4*x^2) + E*(1 - 2*x)*Log[x]),x]","e^{-2 (x+1)} x \left(2 x+4 e^{2 x+1}+\log (x)\right)","\frac{4 x}{e}+e^{-2 x-2} x (2 x+\log (x))-2",1,"(x*(4*E^(1 + 2*x) + 2*x + Log[x]))/E^(2*(1 + x))","A",1
6821,1,27,28,0.1442548,"\int \frac{-4 x-6 x^2-2 x^3+e^x \left(2 x+2 x^2\right)+e^{\frac{x^2+\log ^2\left(-2 x+e^x x-x^2\right)}{x}} \left(-2 x-3 x^2-x^3+e^x \left(x+x^2\right)+\left(-4-4 x+e^x (2+2 x)\right) \log \left(-2 x+e^x x-x^2\right)+\left(2-e^x+x\right) \log ^2\left(-2 x+e^x x-x^2\right)\right)}{-2 x+e^x x-x^2} \, dx","Integrate[(-4*x - 6*x^2 - 2*x^3 + E^x*(2*x + 2*x^2) + E^((x^2 + Log[-2*x + E^x*x - x^2]^2)/x)*(-2*x - 3*x^2 - x^3 + E^x*(x + x^2) + (-4 - 4*x + E^x*(2 + 2*x))*Log[-2*x + E^x*x - x^2] + (2 - E^x + x)*Log[-2*x + E^x*x - x^2]^2))/(-2*x + E^x*x - x^2),x]","x \left(x+e^{x+\frac{\log ^2\left(-x \left(x-e^x+2\right)\right)}{x}}+2\right)","x \left(x+e^{x+\frac{\log ^2\left(\left(-x+e^x-2\right) x\right)}{x}}+2\right)-1",1,"x*(2 + E^(x + Log[-(x*(2 - E^x + x))]^2/x) + x)","A",1
6822,1,39,29,0.020115,"\int \frac{-384 e^{\frac{4 (16-x)}{x}}-10 x^3+10 e^3 x^3}{-x^2+e^3 x^2} \, dx","Integrate[(-384*E^((4*(16 - x))/x) - 10*x^3 + 10*E^3*x^3)/(-x^2 + E^3*x^2),x]","\frac{2 \left(3 e^{64/x}-\frac{5}{2} e^4 \left(1-e^3\right) x^2\right)}{e^4 \left(e^3-1\right)}","5 \left(x^2-5\right)+\frac{6 e^{\frac{4 (16-x)}{x}}}{e^3-1}",1,"(2*(3*E^(64/x) - (5*E^4*(1 - E^3)*x^2)/2))/(E^4*(-1 + E^3))","A",1
6823,1,11,22,0.0041956,"\int e^{4+8 x+4 x^2} (-24-24 x) \, dx","Integrate[E^(4 + 8*x + 4*x^2)*(-24 - 24*x),x]","-3 e^{4 (x+1)^2}","3 \left(\frac{1}{4 \log ^2(2)}-e^{(2 x+2)^2}\right)",1,"-3*E^(4*(1 + x)^2)","A",1
6824,1,20,17,0.0374321,"\int \frac{16+4 x-8 \log (x)}{\left(4 x+x^2\right) \log (x)} \, dx","Integrate[(16 + 4*x - 8*Log[x])/((4*x + x^2)*Log[x]),x]","4 \left(-\frac{\log (x)}{2}+\frac{1}{2} \log (x+4)+\log (\log (x))\right)","2 \log \left(\frac{5 (x+4) \log ^2(x)}{4 x}\right)",1,"4*(-1/2*Log[x] + Log[4 + x]/2 + Log[Log[x]])","A",1
6825,1,16,16,0.110388,"\int \frac{4+37 x+32 x^2+\left(-1-17 x-16 x^2\right) \log (1+x)+\left(2 x+2 x^2\right) \log ^2(1+x)}{16+16 x+(-8-8 x) \log (1+x)+(1+x) \log ^2(1+x)} \, dx","Integrate[(4 + 37*x + 32*x^2 + (-1 - 17*x - 16*x^2)*Log[1 + x] + (2*x + 2*x^2)*Log[1 + x]^2)/(16 + 16*x + (-8 - 8*x)*Log[1 + x] + (1 + x)*Log[1 + x]^2),x]","x^2-\frac{x}{\log (x+1)-4}-1","x^2-\frac{x}{\log (x+1)-4}+18",1,"-1 + x^2 - x/(-4 + Log[1 + x])","A",1
6826,1,7,18,0.0000617,"\int (5+e) \, dx","Integrate[5 + E,x]","e x+5 x","x \left(-\frac{\log \left(5 e^{e^2}\right)}{x}+e+5\right)",1,"5*x + E*x","A",1
6827,1,21,29,0.1620259,"\int \frac{36+49 x+\left(-33 x-52 x^2\right) \log (9 x)+\left(6 x^2+13 x^3\right) \log ^2(9 x)}{4 x^3-4 x^4 \log (9 x)+x^5 \log ^2(9 x)} \, dx","Integrate[(36 + 49*x + (-33*x - 52*x^2)*Log[9*x] + (6*x^2 + 13*x^3)*Log[9*x]^2)/(4*x^3 - 4*x^4*Log[9*x] + x^5*Log[9*x]^2),x]","\frac{-13 x+\frac{3}{x \log (9 x)-2}-3}{x^2}","\frac{\frac{\frac{3}{x \left(\log (9 x)-\frac{2}{x}\right)}-3}{x}-13}{x}",1,"(-3 - 13*x + 3/(-2 + x*Log[9*x]))/x^2","A",1
6828,1,19,21,0.0945447,"\int \frac{x-x \log (x)+\left(-4 x^6 \log (x)+4 x^5 \log ^2(x)\right) \log \left(\frac{-5 x+5 \log (x)}{\log (x)}\right)+\left(x \log (x)-\log ^2(x)\right) \log \left(\frac{-5 x+5 \log (x)}{\log (x)}\right) \log \left(\log \left(\frac{-5 x+5 \log (x)}{\log (x)}\right)\right)}{\left(-x^3 \log (x)+x^2 \log ^2(x)\right) \log \left(\frac{-5 x+5 \log (x)}{\log (x)}\right)} \, dx","Integrate[(x - x*Log[x] + (-4*x^6*Log[x] + 4*x^5*Log[x]^2)*Log[(-5*x + 5*Log[x])/Log[x]] + (x*Log[x] - Log[x]^2)*Log[(-5*x + 5*Log[x])/Log[x]]*Log[Log[(-5*x + 5*Log[x])/Log[x]]])/((-(x^3*Log[x]) + x^2*Log[x]^2)*Log[(-5*x + 5*Log[x])/Log[x]]),x]","x^4+\frac{\log \left(\log \left(5-\frac{5 x}{\log (x)}\right)\right)}{x}","x^4+\frac{\log \left(\log \left(5 \left(1-\frac{x}{\log (x)}\right)\right)\right)}{x}",1,"x^4 + Log[Log[5 - (5*x)/Log[x]]]/x","A",1
6829,1,28,28,0.9406462,"\int \frac{\left(-10 x^3-2 x^4\right) \log ^2(8)+(10+2 x) \log ^2(8) \log (x)+\left(10-2 x-30 x^3+6 x^4\right) \log ^2(8) \log \left(\frac{x}{25-10 x+x^2}\right)}{\left(45 x^{10}-9 x^{11}\right) \log ^3\left(\frac{x}{25-10 x+x^2}\right)+\left(-135 x^7+27 x^8\right) \log (x) \log ^3\left(\frac{x}{25-10 x+x^2}\right)+\left(135 x^4-27 x^5\right) \log ^2(x) \log ^3\left(\frac{x}{25-10 x+x^2}\right)+\left(-45 x+9 x^2\right) \log ^3(x) \log ^3\left(\frac{x}{25-10 x+x^2}\right)} \, dx","Integrate[((-10*x^3 - 2*x^4)*Log[8]^2 + (10 + 2*x)*Log[8]^2*Log[x] + (10 - 2*x - 30*x^3 + 6*x^4)*Log[8]^2*Log[x/(25 - 10*x + x^2)])/((45*x^10 - 9*x^11)*Log[x/(25 - 10*x + x^2)]^3 + (-135*x^7 + 27*x^8)*Log[x]*Log[x/(25 - 10*x + x^2)]^3 + (135*x^4 - 27*x^5)*Log[x]^2*Log[x/(25 - 10*x + x^2)]^3 + (-45*x + 9*x^2)*Log[x]^3*Log[x/(25 - 10*x + x^2)]^3),x]","\frac{\log ^2(8)}{9 \left(x^3-\log (x)\right)^2 \log ^2\left(\frac{x}{(x-5)^2}\right)}","\frac{\log ^2(8)}{9 \left(x^3-\log (x)\right)^2 \log ^2\left(\frac{x}{(x-5)^2}\right)}",1,"Log[8]^2/(9*(x^3 - Log[x])^2*Log[x/(-5 + x)^2]^2)","A",1
6830,0,0,30,2.6442434,"\int \frac{e^{\frac{e^{16-x} \log ^2(x)}{-x \log (5)+x \log \left(\frac{16}{x^2}\right)}} \left(\left(-2 e^{16-x} \log (5)+2 e^{16-x} \log \left(\frac{16}{x^2}\right)\right) \log (x)+\left(e^{16-x} (2+(1+x) \log (5))+e^{16-x} (-1-x) \log \left(\frac{16}{x^2}\right)\right) \log ^2(x)\right)}{x^2 \log ^2(5)-2 x^2 \log (5) \log \left(\frac{16}{x^2}\right)+x^2 \log ^2\left(\frac{16}{x^2}\right)} \, dx","Integrate[(E^((E^(16 - x)*Log[x]^2)/(-(x*Log[5]) + x*Log[16/x^2]))*((-2*E^(16 - x)*Log[5] + 2*E^(16 - x)*Log[16/x^2])*Log[x] + (E^(16 - x)*(2 + (1 + x)*Log[5]) + E^(16 - x)*(-1 - x)*Log[16/x^2])*Log[x]^2))/(x^2*Log[5]^2 - 2*x^2*Log[5]*Log[16/x^2] + x^2*Log[16/x^2]^2),x]","\int \frac{e^{\frac{e^{16-x} \log ^2(x)}{-x \log (5)+x \log \left(\frac{16}{x^2}\right)}} \left(\left(-2 e^{16-x} \log (5)+2 e^{16-x} \log \left(\frac{16}{x^2}\right)\right) \log (x)+\left(e^{16-x} (2+(1+x) \log (5))+e^{16-x} (-1-x) \log \left(\frac{16}{x^2}\right)\right) \log ^2(x)\right)}{x^2 \log ^2(5)-2 x^2 \log (5) \log \left(\frac{16}{x^2}\right)+x^2 \log ^2\left(\frac{16}{x^2}\right)} \, dx","e^{\frac{e^{16-x} \log ^2(x)}{x \left(\log \left(\frac{16}{x^2}\right)-\log (5)\right)}}",1,"Integrate[(E^((E^(16 - x)*Log[x]^2)/(-(x*Log[5]) + x*Log[16/x^2]))*((-2*E^(16 - x)*Log[5] + 2*E^(16 - x)*Log[16/x^2])*Log[x] + (E^(16 - x)*(2 + (1 + x)*Log[5]) + E^(16 - x)*(-1 - x)*Log[16/x^2])*Log[x]^2))/(x^2*Log[5]^2 - 2*x^2*Log[5]*Log[16/x^2] + x^2*Log[16/x^2]^2), x]","F",-1
6831,1,27,22,0.0041863,"\int \left(1-6 e^9+9 e^{18}-\log (4)+\left(2-6 e^9\right) \log (x)+\log ^2(x)\right) \, dx","Integrate[1 - 6*E^9 + 9*E^18 - Log[4] + (2 - 6*E^9)*Log[x] + Log[x]^2,x]","9 e^{18} x+x+x \log ^2(x)-6 e^9 x \log (x)-x \log (4)","x+x \left(3 e^9-\log (x)\right)^2-x \log (4)-3",1,"x + 9*E^18*x - x*Log[4] - 6*E^9*x*Log[x] + x*Log[x]^2","A",1
6832,1,13,26,0.0059374,"\int \frac{4-x-3 e^x x}{x} \, dx","Integrate[(4 - x - 3*E^x*x)/x,x]","-x-3 e^x+4 \log (x)","-x+e^x+4 \left(\log \left(\frac{x}{4}\right)-e^x\right)-2-\log (5)",1,"-3*E^x - x + 4*Log[x]","A",1
6833,1,18,19,0.1840674,"\int \left(1+\exp \left(e^{\frac{-1+5 e^{16+x}+e^{16} x}{e^{16}}}+\frac{-1+5 e^{16+x}+e^{16} x}{e^{16}}\right) \left(1+5 e^x\right)\right) \, dx","Integrate[1 + E^(E^((-1 + 5*E^(16 + x) + E^16*x)/E^16) + (-1 + 5*E^(16 + x) + E^16*x)/E^16)*(1 + 5*E^x),x]","x+e^{e^{x+5 e^x-\frac{1}{e^{16}}}}","x+e^{e^{x+5 e^x-\frac{1}{e^{16}}}}+3",1,"E^E^(-E^(-16) + 5*E^x + x) + x","A",1
6834,1,20,24,0.0298926,"\int \frac{e^x \left(2 x+x^2\right)-4 x \log (3)+2 x \log (3) \log (\log (3))}{\log (3)} \, dx","Integrate[(E^x*(2*x + x^2) - 4*x*Log[3] + 2*x*Log[3]*Log[Log[3]])/Log[3],x]","\frac{x^2 \left(e^x+\log (3) (\log (\log (3))-2)\right)}{\log (3)}","-x \left(2 x-x \left(\frac{e^x}{\log (3)}+\log (\log (3))\right)\right)-6",1,"(x^2*(E^x + Log[3]*(-2 + Log[Log[3]])))/Log[3]","A",1
6835,1,10,10,0.0023235,"\int -\frac{2 \log \left(-\frac{1}{5+x}\right)}{5+x} \, dx","Integrate[(-2*Log[-(5 + x)^(-1)])/(5 + x),x]","\log ^2\left(-\frac{1}{x+5}\right)","\log ^2\left(-\frac{1}{x+5}\right)",1,"Log[-(5 + x)^(-1)]^2","A",1
6836,1,27,24,0.0323181,"\int \frac{6+2 e^8-6 e^8 \log \left(\frac{4}{x}\right)}{\left(-x+e^8 x \log \left(\frac{4}{x}\right)\right) \log ^2\left(\frac{-x^3+e^8 x^3 \log \left(\frac{4}{x}\right)}{5 e^8}\right)} \, dx","Integrate[(6 + 2*E^8 - 6*E^8*Log[4/x])/((-x + E^8*x*Log[4/x])*Log[(-x^3 + E^8*x^3*Log[4/x])/(5*E^8)]^2),x]","\frac{2}{\log \left(\frac{x^3 \left(e^8 \log \left(\frac{4}{x}\right)-1\right)}{5 e^8}\right)}","\frac{2}{\log \left(\frac{1}{5} x^3 \left(\log \left(\frac{4}{x}\right)-\frac{1}{e^8}\right)\right)}",1,"2/Log[(x^3*(-1 + E^8*Log[4/x]))/(5*E^8)]","A",1
6837,1,21,22,0.0066044,"\int \frac{-112-96 x^2+2 x^3+16 x^4}{x^2+x^4} \, dx","Integrate[(-112 - 96*x^2 + 2*x^3 + 16*x^4)/(x^2 + x^4),x]","2 \left(\frac{1}{2} \log \left(x^2+1\right)+8 x+\frac{56}{x}\right)","\log \left(e^{\frac{16 (x+7) \left(x^2+x\right)}{x^2}} \left(x^2+1\right)\right)",1,"2*(56/x + 8*x + Log[1 + x^2]/2)","A",1
6838,1,22,23,0.2860165,"\int \frac{4 x-5 x^2-8 x^3+10 x^4+\left(-x+2 x^3\right) \log (5)+\left(4 x-10 x^2+e^{x^2} (40-100 x-10 \log (5))-x \log (5)\right) \log \left(e^{-x^2} \left(10 e^{x^2}+x\right)\right)}{10 e^{x^2}+x} \, dx","Integrate[(4*x - 5*x^2 - 8*x^3 + 10*x^4 + (-x + 2*x^3)*Log[5] + (4*x - 10*x^2 + E^x^2*(40 - 100*x - 10*Log[5]) - x*Log[5])*Log[(10*E^x^2 + x)/E^x^2])/(10*E^x^2 + x),x]","-x (5 x-4+\log (5)) \log \left(e^{-x^2} x+10\right)","x (-5 x+4-\log (5)) \log \left(e^{-x^2} x+10\right)",1,"-(x*(-4 + 5*x + Log[5])*Log[10 + x/E^x^2])","A",1
6839,1,26,27,0.098064,"\int \frac{4+4 x-x^2+\left(4+4 x-x^2\right) \log \left(\frac{4+4 x-x^2}{x}\right)+\log (x) \left(6 x^2-x^3+\left(-4+5 x^2-x^3\right) \log \left(\frac{4+4 x-x^2}{x}\right)\right) \log (\log (x))}{\log (x) \left(-4 x-4 x^2+x^3+\left(-4 x-4 x^2+x^3\right) \log \left(\frac{4+4 x-x^2}{x}\right)\right) \log (\log (x))} \, dx","Integrate[(4 + 4*x - x^2 + (4 + 4*x - x^2)*Log[(4 + 4*x - x^2)/x] + Log[x]*(6*x^2 - x^3 + (-4 + 5*x^2 - x^3)*Log[(4 + 4*x - x^2)/x])*Log[Log[x]])/(Log[x]*(-4*x - 4*x^2 + x^3 + (-4*x - 4*x^2 + x^3)*Log[(4 + 4*x - x^2)/x])*Log[Log[x]]),x]","-x+\log (x)+\log \left(\log \left(-x+\frac{4}{x}+4\right)+1\right)-\log (\log (\log (x)))","\log \left(\frac{5 \left(x+x \log \left(-x+\frac{4}{x}+4\right)\right)}{\log (\log (x))}\right)-x",1,"-x + Log[x] + Log[1 + Log[4 + 4/x - x]] - Log[Log[Log[x]]]","A",1
6840,1,17,20,0.021758,"\int \frac{18+6 \log \left(\log \left(\frac{-4+16 x^3}{9 x^3}\right)\right)}{\left(-x+4 x^4\right) \log \left(\frac{-4+16 x^3}{9 x^3}\right)} \, dx","Integrate[(18 + 6*Log[Log[(-4 + 16*x^3)/(9*x^3)]])/((-x + 4*x^4)*Log[(-4 + 16*x^3)/(9*x^3)]),x]","\left(\log \left(\log \left(\frac{4}{9} \left(4-\frac{1}{x^3}\right)\right)\right)+3\right)^2","\left(\log \left(\log \left(\frac{4 \left(4 x^3-1\right)}{9 x^3}\right)\right)+3\right)^2",1,"(3 + Log[Log[(4*(4 - x^(-3)))/9]])^2","A",1
6841,1,62,35,0.2325661,"\int \frac{e^{30+8 x} \left(56+8 e^{10}+e^5 (24-16 x)-24 x+8 x^2\right)+e^{15+4 x} \left(-2016-8 e^{30}+2208 x-1760 x^2+800 x^3-280 x^4+56 x^5-8 x^6+e^{25} (-56+48 x)+e^{20} \left(-280+280 x-120 x^2\right)+e^{15} \left(-800+1120 x-560 x^2+160 x^3\right)+e^{10} \left(-1760+2400 x-1680 x^2+560 x^3-120 x^4\right)+e^5 \left(-2208+3520 x-2400 x^2+1120 x^3-280 x^4+48 x^5\right)\right) \log (3)}{7776+e^{50}+e^{45} (10-10 x)-12960 x+15120 x^2-11520 x^3+6960 x^4-3152 x^5+1160 x^6-320 x^7+70 x^8-10 x^9+x^{10}+e^{40} \left(70-90 x+45 x^2\right)+e^{35} \left(320-560 x+360 x^2-120 x^3\right)+e^{30} \left(1160-2240 x+1960 x^2-840 x^3+210 x^4\right)+e^{25} \left(3152-6960 x+6720 x^2-3920 x^3+1260 x^4-252 x^5\right)+e^{20} \left(6960-15760 x+17400 x^2-11200 x^3+4900 x^4-1260 x^5+210 x^6\right)+e^{15} \left(11520-27840 x+31520 x^2-23200 x^3+11200 x^4-3920 x^5+840 x^6-120 x^7\right)+e^{10} \left(15120-34560 x+41760 x^2-31520 x^3+17400 x^4-6720 x^5+1960 x^6-360 x^7+45 x^8\right)+e^5 \left(12960-30240 x+34560 x^2-27840 x^3+15760 x^4-6960 x^5+2240 x^6-560 x^7+90 x^8-10 x^9\right)} \, dx","Integrate[(E^(30 + 8*x)*(56 + 8*E^10 + E^5*(24 - 16*x) - 24*x + 8*x^2) + E^(15 + 4*x)*(-2016 - 8*E^30 + 2208*x - 1760*x^2 + 800*x^3 - 280*x^4 + 56*x^5 - 8*x^6 + E^25*(-56 + 48*x) + E^20*(-280 + 280*x - 120*x^2) + E^15*(-800 + 1120*x - 560*x^2 + 160*x^3) + E^10*(-1760 + 2400*x - 1680*x^2 + 560*x^3 - 120*x^4) + E^5*(-2208 + 3520*x - 2400*x^2 + 1120*x^3 - 280*x^4 + 48*x^5))*Log[3])/(7776 + E^50 + E^45*(10 - 10*x) - 12960*x + 15120*x^2 - 11520*x^3 + 6960*x^4 - 3152*x^5 + 1160*x^6 - 320*x^7 + 70*x^8 - 10*x^9 + x^10 + E^40*(70 - 90*x + 45*x^2) + E^35*(320 - 560*x + 360*x^2 - 120*x^3) + E^30*(1160 - 2240*x + 1960*x^2 - 840*x^3 + 210*x^4) + E^25*(3152 - 6960*x + 6720*x^2 - 3920*x^3 + 1260*x^4 - 252*x^5) + E^20*(6960 - 15760*x + 17400*x^2 - 11200*x^3 + 4900*x^4 - 1260*x^5 + 210*x^6) + E^15*(11520 - 27840*x + 31520*x^2 - 23200*x^3 + 11200*x^4 - 3920*x^5 + 840*x^6 - 120*x^7) + E^10*(15120 - 34560*x + 41760*x^2 - 31520*x^3 + 17400*x^4 - 6720*x^5 + 1960*x^6 - 360*x^7 + 45*x^8) + E^5*(12960 - 30240*x + 34560*x^2 - 27840*x^3 + 15760*x^4 - 6960*x^5 + 2240*x^6 - 560*x^7 + 90*x^8 - 10*x^9)),x]","\frac{e^{4 x+15} \left(e^{4 x+15}-2 \left(x^2-2 x-2 e^5 (x-1)+e^{10}+6\right)^2 \log (3)\right)}{\left(x^2-2 x-2 e^5 (x-1)+e^{10}+6\right)^4}","\left(\frac{e^{5 (x+3)-x}}{\left(\left(x-e^5-1\right)^2+5\right)^2}-\log (3)\right)^2-2",1,"(E^(15 + 4*x)*(E^(15 + 4*x) - 2*(6 + E^10 - 2*E^5*(-1 + x) - 2*x + x^2)^2*Log[3]))/(6 + E^10 - 2*E^5*(-1 + x) - 2*x + x^2)^4","A",1
6842,1,29,26,0.0610634,"\int \frac{-41 x+x^2-120 x^3-72 x^5+\left(-19 x^2-24 x^4\right) \log \left(\frac{36}{x}\right)-2 x^3 \log ^2\left(\frac{36}{x}\right)+\left(-18 x-24 x^3-4 x^2 \log \left(\frac{36}{x}\right)\right) \log (x)-2 x \log ^2(x)}{25+60 x^2+36 x^4+\left(10 x+12 x^3\right) \log \left(\frac{36}{x}\right)+x^2 \log ^2\left(\frac{36}{x}\right)+\left(10+12 x^2+2 x \log \left(\frac{36}{x}\right)\right) \log (x)+\log ^2(x)} \, dx","Integrate[(-41*x + x^2 - 120*x^3 - 72*x^5 + (-19*x^2 - 24*x^4)*Log[36/x] - 2*x^3*Log[36/x]^2 + (-18*x - 24*x^3 - 4*x^2*Log[36/x])*Log[x] - 2*x*Log[x]^2)/(25 + 60*x^2 + 36*x^4 + (10*x + 12*x^3)*Log[36/x] + x^2*Log[36/x]^2 + (10 + 12*x^2 + 2*x*Log[36/x])*Log[x] + Log[x]^2),x]","\frac{x^2}{6 x^2+x \log \left(\frac{36}{x}\right)+\log (x)+5}-x^2","x \left(\frac{x}{x \left(6 x+\log \left(\frac{36}{x}\right)\right)+\log (x)+5}-x\right)",1,"-x^2 + x^2/(5 + 6*x^2 + x*Log[36/x] + Log[x])","A",1
6843,1,15,14,0.0000773,"\int \left(-1+\log ^2(2) \log \left(\log \left(\frac{23}{3}\right)\right)\right) \, dx","Integrate[-1 + Log[2]^2*Log[Log[23/3]],x]","x \log ^2(2) \log \left(\log \left(\frac{23}{3}\right)\right)-x","x \left(\log ^2(2) \log \left(\log \left(\frac{23}{3}\right)\right)-1\right)",1,"-x + x*Log[2]^2*Log[Log[23/3]]","A",1
6844,1,22,26,0.0206608,"\int \frac{128-480 x+600 x^2-154 x^3-240 x^4+150 x^5+24 x^6-30 x^7+2 x^9+e^{10} \left(32 x-16 x^4\right)}{64-240 x+300 x^2-77 x^3-120 x^4+75 x^5+12 x^6-15 x^7+x^9} \, dx","Integrate[(128 - 480*x + 600*x^2 - 154*x^3 - 240*x^4 + 150*x^5 + 24*x^6 - 30*x^7 + 2*x^9 + E^10*(32*x - 16*x^4))/(64 - 240*x + 300*x^2 - 77*x^3 - 120*x^4 + 75*x^5 + 12*x^6 - 15*x^7 + x^9),x]","2 \left(\frac{2 e^{10} x^2}{\left(x^3-5 x+4\right)^2}+x\right)","\frac{4 e^{10} x^2}{\left(4-x \left(5-x^2\right)\right)^2}+2 x",1,"2*(x + (2*E^10*x^2)/(4 - 5*x + x^3)^2)","A",1
6845,1,23,29,0.3277504,"\int \frac{e^2 \left(e^{2 x}-e^{-12+6 x-3 e^x x}\right) \left(-2 e^{2 x}+e^{-12+6 x-3 e^x x} \left(6+e^x (-3-3 x)\right)\right)}{-e^{2 x}+e^{-12+6 x-3 e^x x}} \, dx","Integrate[(E^2*(E^(2*x) - E^(-12 + 6*x - 3*E^x*x))*(-2*E^(2*x) + E^(-12 + 6*x - 3*E^x*x)*(6 + E^x*(-3 - 3*x))))/(-E^(2*x) + E^(-12 + 6*x - 3*E^x*x)),x]","e^{2 x+2}-e^{-3 e^x x+6 x-10}","e^2 \left(e^{2 x}-e^{3 \left(-e^x-\frac{4}{x}+2\right) x}\right)",1,"E^(2 + 2*x) - E^(-10 + 6*x - 3*E^x*x)","A",1
6846,1,19,19,0.6184003,"\int \frac{-7+14 x+2 e^{-2 x/7} x+7 x \log (x)}{-7 e^{-2 x/7} x+7 x^2+\left(-7 x+7 x^2\right) \log (x)} \, dx","Integrate[(-7 + 14*x + (2*x)/E^((2*x)/7) + 7*x*Log[x])/((-7*x)/E^((2*x)/7) + 7*x^2 + (-7*x + 7*x^2)*Log[x]),x]","\log \left(-x+e^{-2 x/7}+x (-\log (x))+\log (x)\right)","\log \left(e^{-2 x/7}+x (-\log (x)-1)+\log (x)\right)",1,"Log[E^((-2*x)/7) - x + Log[x] - x*Log[x]]","A",1
6847,1,112,28,0.2742377,"\int \frac{-244140000-e^{12}-585938000 x-644531700 x^2-429687600 x^3-193359382 x^4-61875000 x^5-14437500 x^6-2475000 x^7-309375 x^8-27500 x^9-1650 x^{10}-60 x^{11}-x^{12}+e^8 \left(-1875-1500 x-450 x^2-60 x^3-3 x^4\right)+e^4 \left(-1171874-1875000 x-1312500 x^2-525000 x^3-131250 x^4-21000 x^5-2100 x^6-120 x^7-3 x^8\right)}{488280000 x+2 e^{12} x+1171874000 x^2+1289062200 x^3+859374960 x^4+386718748 x^5+123750000 x^6+28875000 x^7+4950000 x^8+618750 x^9+55000 x^{10}+3300 x^{11}+120 x^{12}+2 x^{13}+e^8 \left(3750 x+3000 x^2+900 x^3+120 x^4+6 x^5\right)+e^4 \left(2343748 x+3750000 x^2+2625000 x^3+1050000 x^4+262500 x^5+42000 x^6+4200 x^7+240 x^8+6 x^9\right)} \, dx","Integrate[(-244140000 - E^12 - 585938000*x - 644531700*x^2 - 429687600*x^3 - 193359382*x^4 - 61875000*x^5 - 14437500*x^6 - 2475000*x^7 - 309375*x^8 - 27500*x^9 - 1650*x^10 - 60*x^11 - x^12 + E^8*(-1875 - 1500*x - 450*x^2 - 60*x^3 - 3*x^4) + E^4*(-1171874 - 1875000*x - 1312500*x^2 - 525000*x^3 - 131250*x^4 - 21000*x^5 - 2100*x^6 - 120*x^7 - 3*x^8))/(488280000*x + 2*E^12*x + 1171874000*x^2 + 1289062200*x^3 + 859374960*x^4 + 386718748*x^5 + 123750000*x^6 + 28875000*x^7 + 4950000*x^8 + 618750*x^9 + 55000*x^10 + 3300*x^11 + 120*x^12 + 2*x^13 + E^8*(3750*x + 3000*x^2 + 900*x^3 + 120*x^4 + 6*x^5) + E^4*(2343748*x + 3750000*x^2 + 2625000*x^3 + 1050000*x^4 + 262500*x^5 + 42000*x^6 + 4200*x^7 + 240*x^8 + 6*x^9)),x]","\frac{1}{2} \left(2 \log \left(x^4+20 x^3+150 x^2+500 x+e^4+625\right)-\log \left(x^8+40 x^7+700 x^6+7000 x^5+2 e^4 x^4+43750 x^4+40 e^4 x^3+175000 x^3+300 e^4 x^2+437500 x^2+1000 e^4 x+625000 x+e^8+1250 e^4+390624\right)-\log (x)\right)","\frac{1}{2} \log \left(\frac{4}{\frac{x}{\left((x+5)^4+e^4\right)^2}-x}\right)-3",1,"(-Log[x] + 2*Log[625 + E^4 + 500*x + 150*x^2 + 20*x^3 + x^4] - Log[390624 + 1250*E^4 + E^8 + 625000*x + 1000*E^4*x + 437500*x^2 + 300*E^4*x^2 + 175000*x^3 + 40*E^4*x^3 + 43750*x^4 + 2*E^4*x^4 + 7000*x^5 + 700*x^6 + 40*x^7 + x^8])/2","B",1
6848,1,47,20,0.2158185,"\int \frac{3-x-2 e^{3/2} x^2+e^{\frac{3}{2}+x} \left(-3 x+x^2\right)+e^{3/2} \left(6 x-2 x^2\right) \log (-3+x)}{e^{3/2} \left(-3 x+x^2\right)} \, dx","Integrate[(3 - x - 2*E^(3/2)*x^2 + E^(3/2 + x)*(-3*x + x^2) + E^(3/2)*(6*x - 2*x^2)*Log[-3 + x])/(E^(3/2)*(-3*x + x^2)),x]","\frac{e^{x+\frac{3}{2}}-6 e^{3/2} \log (3-x)+2 e^{3/2} (3-x) \log (x-3)-\log (x)}{e^{3/2}}","e^x-2 x \log (x-3)-\frac{\log (x)}{e^{3/2}}",1,"(E^(3/2 + x) - 6*E^(3/2)*Log[3 - x] + 2*E^(3/2)*(3 - x)*Log[-3 + x] - Log[x])/E^(3/2)","B",1
6849,0,0,34,169.9744057,"\int \frac{200+100 x+e^{6 x^2-2 x^3} (8+4 x)+e^{3 x^2-x^3} (80+40 x)+\exp \left(\frac{2 \left(39 x+8 e^{3 x^2-x^3} x\right)}{20+4 e^{3 x^2-x^3}}\right) \left(100 x+195 x^2+e^{6 x^2-2 x^3} \left(4 x+8 x^2\right)+e^{3 x^2-x^3} \left(40 x+79 x^2+6 x^4-3 x^5\right)\right)+\exp \left(\frac{39 x+8 e^{3 x^2-x^3} x}{20+4 e^{3 x^2-x^3}}\right) \left(-200-590 x-195 x^2+e^{6 x^2-2 x^3} \left(-8-24 x-8 x^2\right)+e^{3 x^2-x^3} \left(-80-238 x-79 x^2-12 x^3+3 x^5\right)\right)}{50+2 e^{6 x^2-2 x^3}+20 e^{3 x^2-x^3}} \, dx","Integrate[(200 + 100*x + E^(6*x^2 - 2*x^3)*(8 + 4*x) + E^(3*x^2 - x^3)*(80 + 40*x) + E^((2*(39*x + 8*E^(3*x^2 - x^3)*x))/(20 + 4*E^(3*x^2 - x^3)))*(100*x + 195*x^2 + E^(6*x^2 - 2*x^3)*(4*x + 8*x^2) + E^(3*x^2 - x^3)*(40*x + 79*x^2 + 6*x^4 - 3*x^5)) + E^((39*x + 8*E^(3*x^2 - x^3)*x)/(20 + 4*E^(3*x^2 - x^3)))*(-200 - 590*x - 195*x^2 + E^(6*x^2 - 2*x^3)*(-8 - 24*x - 8*x^2) + E^(3*x^2 - x^3)*(-80 - 238*x - 79*x^2 - 12*x^3 + 3*x^5)))/(50 + 2*E^(6*x^2 - 2*x^3) + 20*E^(3*x^2 - x^3)),x]","\int \frac{200+100 x+e^{6 x^2-2 x^3} (8+4 x)+e^{3 x^2-x^3} (80+40 x)+\exp \left(\frac{2 \left(39 x+8 e^{3 x^2-x^3} x\right)}{20+4 e^{3 x^2-x^3}}\right) \left(100 x+195 x^2+e^{6 x^2-2 x^3} \left(4 x+8 x^2\right)+e^{3 x^2-x^3} \left(40 x+79 x^2+6 x^4-3 x^5\right)\right)+\exp \left(\frac{39 x+8 e^{3 x^2-x^3} x}{20+4 e^{3 x^2-x^3}}\right) \left(-200-590 x-195 x^2+e^{6 x^2-2 x^3} \left(-8-24 x-8 x^2\right)+e^{3 x^2-x^3} \left(-80-238 x-79 x^2-12 x^3+3 x^5\right)\right)}{50+2 e^{6 x^2-2 x^3}+20 e^{3 x^2-x^3}} \, dx","\left(-e^{2 x-\frac{x}{4 \left(e^{(3-x) x^2}+5\right)}} x+x+2\right)^2",1,"Integrate[(200 + 100*x + E^(6*x^2 - 2*x^3)*(8 + 4*x) + E^(3*x^2 - x^3)*(80 + 40*x) + E^((2*(39*x + 8*E^(3*x^2 - x^3)*x))/(20 + 4*E^(3*x^2 - x^3)))*(100*x + 195*x^2 + E^(6*x^2 - 2*x^3)*(4*x + 8*x^2) + E^(3*x^2 - x^3)*(40*x + 79*x^2 + 6*x^4 - 3*x^5)) + E^((39*x + 8*E^(3*x^2 - x^3)*x)/(20 + 4*E^(3*x^2 - x^3)))*(-200 - 590*x - 195*x^2 + E^(6*x^2 - 2*x^3)*(-8 - 24*x - 8*x^2) + E^(3*x^2 - x^3)*(-80 - 238*x - 79*x^2 - 12*x^3 + 3*x^5)))/(50 + 2*E^(6*x^2 - 2*x^3) + 20*E^(3*x^2 - x^3)), x]","F",-1
6850,1,16,15,0.0055068,"\int -\frac{288 e^{15} x^2}{e^{30}+32 e^{15} x^3+256 x^6} \, dx","Integrate[(-288*E^15*x^2)/(E^30 + 32*E^15*x^3 + 256*x^6),x]","\frac{6 e^{15}}{16 x^3+e^{15}}","\frac{6 x}{\frac{16 x^4}{e^{15}}+x}",1,"(6*E^15)/(E^15 + 16*x^3)","A",1
6851,0,0,20,0.4546579,"\int \exp \left(\left(4 x+3 x^2+4 x^3\right) \log (2)-3 x \log (2) \log (4)\right) \left(\left(4+6 x+12 x^2\right) \log (2)-3 \log (2) \log (4)\right) \, dx","Integrate[E^((4*x + 3*x^2 + 4*x^3)*Log[2] - 3*x*Log[2]*Log[4])*((4 + 6*x + 12*x^2)*Log[2] - 3*Log[2]*Log[4]),x]","\int \exp \left(\left(4 x+3 x^2+4 x^3\right) \log (2)-3 x \log (2) \log (4)\right) \left(\left(4+6 x+12 x^2\right) \log (2)-3 \log (2) \log (4)\right) \, dx","2^{x \left(4 \left(x^2+1\right)-3 (\log (4)-x)\right)}",1,"Integrate[E^((4*x + 3*x^2 + 4*x^3)*Log[2] - 3*x*Log[2]*Log[4])*((4 + 6*x + 12*x^2)*Log[2] - 3*Log[2]*Log[4]), x]","F",-1
6852,1,27,26,0.3075117,"\int e^{-18-2 e^6-2 e^3 (2-2 x)+6 x-2 x^2} \left(1-e^{18+2 e^6+2 e^3 (2-2 x)-6 x+2 x^2}+6 x+4 e^3 x-4 x^2\right) \, dx","Integrate[E^(-18 - 2*E^6 - 2*E^3*(2 - 2*x) + 6*x - 2*x^2)*(1 - E^(18 + 2*E^6 + 2*E^3*(2 - 2*x) - 6*x + 2*x^2) + 6*x + 4*E^3*x - 4*x^2),x]","\left(e^{-2 \left(x^2-3 x-2 e^3 (x-1)+e^6+9\right)}-1\right) x","e^{-2 \left(-x+e^3+1\right)^2+2 x-16} x-x+5",1,"(-1 + E^(-2*(9 + E^6 - 2*E^3*(-1 + x) - 3*x + x^2)))*x","A",1
6853,1,66,26,0.0070515,"\int \frac{-6 x-16 x^3+e^{10} \left(1-6 x+4 x^2-16 x^3\right)+e^5 \left(12 x+32 x^3\right)}{1-2 e^5+e^{10}} \, dx","Integrate[(-6*x - 16*x^3 + E^10*(1 - 6*x + 4*x^2 - 16*x^3) + E^5*(12*x + 32*x^3))/(1 - 2*E^5 + E^10),x]","\frac{-4 e^{10} x^4+8 e^5 x^4-4 x^4+\frac{4 e^{10} x^3}{3}-3 e^{10} x^2+6 e^5 x^2-3 x^2+e^{10} x}{\left(e^5-1\right)^2}","\left(\frac{4 x^4}{3}+x^2\right) \left(\frac{x}{\left(x-\frac{x}{e^5}\right)^2}-3\right)",1,"(E^10*x - 3*x^2 + 6*E^5*x^2 - 3*E^10*x^2 + (4*E^10*x^3)/3 - 4*x^4 + 8*E^5*x^4 - 4*E^10*x^4)/(-1 + E^5)^2","B",1
6854,1,32,15,0.0162808,"\int \frac{6+2 \log (4)+(3+3 x+(1+x) \log (4)) \log \left(x^2\right)}{x \log \left(x^2\right)} \, dx","Integrate[(6 + 2*Log[4] + (3 + 3*x + (1 + x)*Log[4])*Log[x^2])/(x*Log[x^2]),x]","\log (4) \log \left(\log \left(x^2\right)\right)+3 \log \left(\log \left(x^2\right)\right)+3 x+x \log (4)+\log (4) \log (x)+3 \log (x)","(3+\log (4)) \left(\log \left(9 x \log \left(x^2\right)\right)+x\right)",1,"3*x + x*Log[4] + 3*Log[x] + Log[4]*Log[x] + 3*Log[Log[x^2]] + Log[4]*Log[Log[x^2]]","B",1
6855,1,27,28,0.043485,"\int \frac{-900+300 x+\left(462 x-4 x^2\right) \log (4)-6 x^2 \log ^2(4)+\left(\left(-462 x+154 x^2\right) \log (4)+\left(12 x^2-2 x^3\right) \log ^2(4)\right) \log (-3+x)+\left(-6 x^2+2 x^3\right) \log ^2(4) \log ^2(-3+x)+\left(-12+4 x+6 x \log (4)+\left(-6 x+2 x^2\right) \log (4) \log (-3+x)\right) \log \left(9 x^2\right)}{-1875 x+625 x^2} \, dx","Integrate[(-900 + 300*x + (462*x - 4*x^2)*Log[4] - 6*x^2*Log[4]^2 + ((-462*x + 154*x^2)*Log[4] + (12*x^2 - 2*x^3)*Log[4]^2)*Log[-3 + x] + (-6*x^2 + 2*x^3)*Log[4]^2*Log[-3 + x]^2 + (-12 + 4*x + 6*x*Log[4] + (-6*x + 2*x^2)*Log[4]*Log[-3 + x])*Log[9*x^2])/(-1875*x + 625*x^2),x]","\frac{1}{625} \left(\log \left(9 x^2\right)+x \log (4) \log (x-3)-x \log (4)+75\right)^2","\left(\frac{1}{25} \left(\log \left(9 x^2\right)-\log (4) (x-x \log (x-3))\right)+3\right)^2",1,"(75 - x*Log[4] + x*Log[4]*Log[-3 + x] + Log[9*x^2])^2/625","A",1
6856,1,43,34,0.6489395,"\int \frac{-20 x+85 x^2-63 x^3-33 x^4+x^6+\left(-40 x+x^2+86 x^3-2 x^5\right) \log (x)+\left(32 x-48 x^2+x^4\right) \log ^2(x)}{800+880 x+242 x^2-80 x^3-44 x^4+2 x^6+\left(-1280-704 x+80 x^2+108 x^3-4 x^5\right) \log (x)+\left(512-64 x^2+2 x^4\right) \log ^2(x)} \, dx","Integrate[(-20*x + 85*x^2 - 63*x^3 - 33*x^4 + x^6 + (-40*x + x^2 + 86*x^3 - 2*x^5)*Log[x] + (32*x - 48*x^2 + x^4)*Log[x]^2)/(800 + 880*x + 242*x^2 - 80*x^3 - 44*x^4 + 2*x^6 + (-1280 - 704*x + 80*x^2 + 108*x^3 - 4*x^5)*Log[x] + (512 - 64*x^2 + 2*x^4)*Log[x]^2),x]","\frac{x^4-\left(x^3-16\right) \log (x)-11 x-20}{2 (x-4) \left(x^2+4 x-(x+4) \log (x)+5\right)}","-\frac{x \left(x^2-x\right)}{2 (4-x) \left(x+\frac{5}{x-\log (x)}+4\right)}",1,"(-20 - 11*x + x^4 - (-16 + x^3)*Log[x])/(2*(-4 + x)*(5 + 4*x + x^2 - (4 + x)*Log[x]))","A",1
6857,1,29,30,0.0970532,"\int \frac{e^{\log ^2\left(\frac{900 x^4+60 x^2 \log (x)+\log ^2(x)}{100 x^4}\right)} \left(-30 e x^3-e x \log (x)+(e (16-4 x)+e (-32+8 x) \log (x)) \log \left(\frac{900 x^4+60 x^2 \log (x)+\log ^2(x)}{100 x^4}\right)\right)}{30 x^3+x \log (x)} \, dx","Integrate[(E^Log[(900*x^4 + 60*x^2*Log[x] + Log[x]^2)/(100*x^4)]^2*(-30*E*x^3 - E*x*Log[x] + (E*(16 - 4*x) + E*(-32 + 8*x)*Log[x])*Log[(900*x^4 + 60*x^2*Log[x] + Log[x]^2)/(100*x^4)]))/(30*x^3 + x*Log[x]),x]","(x-4) \left(-e^{\log ^2\left(\frac{\left(30 x^2+\log (x)\right)^2}{100 x^4}\right)+1}\right)","(4-x) e^{\log ^2\left(\frac{1}{4} \left(\frac{\log (x)}{5 x^2}+6\right)^2\right)+1}",1,"-(E^(1 + Log[(30*x^2 + Log[x])^2/(100*x^4)]^2)*(-4 + x))","A",1
6858,1,47,22,0.0842629,"\int \frac{-12+6 x-2 x^6+e^2 \left(-20 x^4-40 x^5-20 x^6\right)+e^4 \left(-10 x^2-40 x^3-60 x^4-40 x^5-10 x^6\right)+e^5 \left(2 x+10 x^2+20 x^3+20 x^4+10 x^5+2 x^6\right)+e \left(14-6 x+10 x^5+10 x^6\right)+e^3 \left(20 x^3+60 x^4+60 x^5+20 x^6\right)}{-x^5+e^2 \left(-10 x^3-20 x^4-10 x^5\right)+e^4 \left(-5 x-20 x^2-30 x^3-20 x^4-5 x^5\right)+e^5 \left(1+5 x+10 x^2+10 x^3+5 x^4+x^5\right)+e \left(5 x^4+5 x^5\right)+e^3 \left(10 x^2+30 x^3+30 x^4+10 x^5\right)} \, dx","Integrate[(-12 + 6*x - 2*x^6 + E^2*(-20*x^4 - 40*x^5 - 20*x^6) + E^4*(-10*x^2 - 40*x^3 - 60*x^4 - 40*x^5 - 10*x^6) + E^5*(2*x + 10*x^2 + 20*x^3 + 20*x^4 + 10*x^5 + 2*x^6) + E*(14 - 6*x + 10*x^5 + 10*x^6) + E^3*(20*x^3 + 60*x^4 + 60*x^5 + 20*x^6))/(-x^5 + E^2*(-10*x^3 - 20*x^4 - 10*x^5) + E^4*(-5*x - 20*x^2 - 30*x^3 - 20*x^4 - 5*x^5) + E^5*(1 + 5*x + 10*x^2 + 10*x^3 + 5*x^4 + x^5) + E*(5*x^4 + 5*x^5) + E^3*(10*x^2 + 30*x^3 + 30*x^4 + 10*x^5)),x]","(x+1)^2-2 x+\frac{2}{(e-1) (e x-x+e)^3}+\frac{3-5 e}{(e-1) (e x-x+e)^4}","x^2-\frac{3-2 x}{(x-e (x+1))^4}+11",1,"-2*x + (1 + x)^2 + (3 - 5*E)/((-1 + E)*(E - x + E*x)^4) + 2/((-1 + E)*(E - x + E*x)^3)","B",1
6859,1,24,29,0.029721,"\int \frac{e^{-x} \left(e^x \left(-4+2 x+17 x^2\right)+e \left(-64 x^2+32 x^3-4 x^4\right)\right)}{64 x^2-32 x^3+4 x^4} \, dx","Integrate[(E^x*(-4 + 2*x + 17*x^2) + E*(-64*x^2 + 32*x^3 - 4*x^4))/(E^x*(64*x^2 - 32*x^3 + 4*x^4)),x]","e^{1-x}+\frac{1}{16 x}-\frac{69}{16 (x-4)}","e^{1-x}-\frac{2 x-\frac{1}{x}-25}{4 (4-x)}",1,"E^(1 - x) - 69/(16*(-4 + x)) + 1/(16*x)","A",1
6860,1,14,18,0.0269203,"\int \frac{e^{\frac{x}{3 e^2}}}{\left(12 e^2+3 e^{2+\frac{x}{3 e^2}}\right) \log \left(4+e^{\frac{x}{3 e^2}}\right)} \, dx","Integrate[E^(x/(3*E^2))/((12*E^2 + 3*E^(2 + x/(3*E^2)))*Log[4 + E^(x/(3*E^2))]),x]","\log \left(\log \left(e^{\frac{x}{3 e^2}}+4\right)\right)","\log \left(\log \left(e^{\frac{x}{3 e^2}}+4\right)\right)+e^2",1,"Log[Log[4 + E^(x/(3*E^2))]]","A",1
6861,1,59,17,0.0239967,"\int \frac{6 x^2+10 x^3+\left(4 x+20 x^2\right) \log (400)+10 x \log ^2(400)}{4+20 x+25 x^2+(20+50 x) \log (400)+25 \log ^2(400)} \, dx","Integrate[(6*x^2 + 10*x^3 + (4*x + 20*x^2)*Log[400] + 10*x*Log[400]^2)/(4 + 20*x + 25*x^2 + (20 + 50*x)*Log[400] + 25*Log[400]^2),x]","\frac{125 x^3+125 x^2 \log (400)-5 x \left(12+25 \log ^2(400)+40 \log (400)\right)-(2+5 \log (400))^2 (6+5 \log (400))}{125 (5 x+2+5 \log (400))}","\frac{2 x^2}{\frac{4}{x+\log (400)}+10}",1,"(125*x^3 + 125*x^2*Log[400] - (2 + 5*Log[400])^2*(6 + 5*Log[400]) - 5*x*(12 + 40*Log[400] + 25*Log[400]^2))/(125*(2 + 5*x + 5*Log[400]))","B",1
6862,1,37,33,0.4471127,"\int \frac{-x^2+x^3+e^{-1+x} \left(2 x-2 x^2\right) \log (4)+e^{-2+2 x} (-1+x) \log ^2(4)+\left(9 x+3 x^2+3 x^3+x^4+e^{-1+x} \left(-6 x-11 x^2-3 x^3\right) \log (4)+e^{-2+2 x} \left(3 x+x^2\right) \log ^2(4)+\left(-3 x-x^3+e^{-1+x} \left(2 x+3 x^2\right) \log (4)-e^{-2+2 x} x \log ^2(4)\right) \log (x)\right) \log (3+x-\log (x))}{\left(-3 x^3-x^4+e^{-1+x} \left(6 x^2+2 x^3\right) \log (4)+e^{-2+2 x} \left(-3 x-x^2\right) \log ^2(4)+\left(x^3-2 e^{-1+x} x^2 \log (4)+e^{-2+2 x} x \log ^2(4)\right) \log (x)\right) \log (3+x-\log (x))} \, dx","Integrate[(-x^2 + x^3 + E^(-1 + x)*(2*x - 2*x^2)*Log[4] + E^(-2 + 2*x)*(-1 + x)*Log[4]^2 + (9*x + 3*x^2 + 3*x^3 + x^4 + E^(-1 + x)*(-6*x - 11*x^2 - 3*x^3)*Log[4] + E^(-2 + 2*x)*(3*x + x^2)*Log[4]^2 + (-3*x - x^3 + E^(-1 + x)*(2*x + 3*x^2)*Log[4] - E^(-2 + 2*x)*x*Log[4]^2)*Log[x])*Log[3 + x - Log[x]])/((-3*x^3 - x^4 + E^(-1 + x)*(6*x^2 + 2*x^3)*Log[4] + E^(-2 + 2*x)*(-3*x - x^2)*Log[4]^2 + (x^3 - 2*E^(-1 + x)*x^2*Log[4] + E^(-2 + 2*x)*x*Log[4]^2)*Log[x])*Log[3 + x - Log[x]]),x]","-x-\log (\log (x-\log (x)+3))+\frac{-e x-3 e}{e^x \log (4)-e x}","-x-\log (\log (x-\log (x)+3))+\frac{x+3}{x-e^{x-1} \log (4)}+5",1,"-x + (-3*E - E*x)/(-(E*x) + E^x*Log[4]) - Log[Log[3 + x - Log[x]]]","A",1
6863,1,30,32,0.0291086,"\int \frac{-9-24 x^2+4 x^3+e^{x^2} \left(-3+6 x^2\right)-24 x^2 \log (x)}{24 x^2} \, dx","Integrate[(-9 - 24*x^2 + 4*x^3 + E^x^2*(-3 + 6*x^2) - 24*x^2*Log[x])/(24*x^2),x]","\frac{1}{24} \left(2 x^2+\frac{3 e^{x^2}}{x}+\frac{9}{x}-24 x \log (x)\right)","\frac{1}{4} \left(\frac{x^2}{3}+\frac{e^{x^2}+3}{2 x}\right)-x \log (x)",1,"(9/x + (3*E^x^2)/x + 2*x^2 - 24*x*Log[x])/24","A",1
6864,1,76,18,0.0434225,"\int \frac{4 e^4 x+24 e^2 x \log (5)+32 x \log ^2(5)+\left(6 e^4 x+16 e^2 x \log (5)\right) \log (2 x)+2 e^4 x \log ^2(2 x)}{e^4} \, dx","Integrate[(4*E^4*x + 24*E^2*x*Log[5] + 32*x*Log[5]^2 + (6*E^4*x + 16*E^2*x*Log[5])*Log[2*x] + 2*E^4*x*Log[2*x]^2)/E^4,x]","\frac{2 \left(\frac{e^4 x^2}{2}+\frac{1}{2} e^4 x^2 \log ^2(2 x)+8 x^2 \log ^2(5)+4 e^2 x^2 \log (5) \log (2 x)+e^4 x^2 \log (2 x)+4 e^2 x^2 \log (5)\right)}{e^4}","\left(x+x \log (2 x)+\frac{4 x \log (5)}{e^2}\right)^2",1,"(2*((E^4*x^2)/2 + 4*E^2*x^2*Log[5] + 8*x^2*Log[5]^2 + E^4*x^2*Log[2*x] + 4*E^2*x^2*Log[5]*Log[2*x] + (E^4*x^2*Log[2*x]^2)/2))/E^4","B",1
6865,1,14,20,0.0073689,"\int \left(6+5 e^{e^x+x}+2 x\right) \, dx","Integrate[6 + 5*E^(E^x + x) + 2*x,x]","x^2+6 x+5 e^{e^x}","5 \left(\frac{1}{5} \left((x+3)^2+4\right)+e^{e^x}-2\right)",1,"5*E^E^x + 6*x + x^2","A",1
6866,1,24,24,0.3061965,"\int \frac{e^{\frac{1+e^3}{4+e^x-x}} \left(e^x \left(-1-e^3\right) \log (4)+\left(1+e^3\right) \log (4)\right)}{32+2 e^{2 x}+e^x (16-4 x)-16 x+2 x^2} \, dx","Integrate[(E^((1 + E^3)/(4 + E^x - x))*(E^x*(-1 - E^3)*Log[4] + (1 + E^3)*Log[4]))/(32 + 2*E^(2*x) + E^x*(16 - 4*x) - 16*x + 2*x^2),x]","\frac{1}{2} e^{\frac{1+e^3}{-x+e^x+4}} \log (4)","\frac{1}{2} e^{\frac{1+e^3}{-x+e^x+4}} \log (4)",1,"(E^((1 + E^3)/(4 + E^x - x))*Log[4])/2","A",1
6867,1,18,18,0.0263356,"\int \frac{1}{8} \left(12+16 e^{5+2 e^{5+x}+x}+x+e^{e^{5+x}} \left(4+e^{5+x} (48+4 x)\right)\right) \, dx","Integrate[(12 + 16*E^(5 + 2*E^(5 + x) + x) + x + E^E^(5 + x)*(4 + E^(5 + x)*(48 + 4*x)))/8,x]","\frac{1}{16} \left(x+4 e^{e^{x+5}}+12\right)^2","\left(-\frac{x}{4}-e^{e^{x+5}}-3\right)^2",1,"(12 + 4*E^E^(5 + x) + x)^2/16","A",1
6868,1,16,11,0.0026778,"\int \frac{10-5 \log (\log (6))}{x \log ^2(x)} \, dx","Integrate[(10 - 5*Log[Log[6]])/(x*Log[x]^2),x]","\frac{5 \log (\log (6))}{\log (x)}-\frac{10}{\log (x)}","\frac{5 (\log (\log (6))-2)}{\log (x)}",1,"-10/Log[x] + (5*Log[Log[6]])/Log[x]","A",1
6869,1,31,29,0.8253435,"\int \frac{e^5 \left(-10-2 x+10 x^2+2 x^3\right)+e^{10} \left(10-8 x-2 x^2\right) \log ^2(5+x)+\log \left(\frac{3 e^x}{x}\right) \left(e^5 \left(-10 x-2 x^2\right)+4 e^{10} x \log (5+x)\right)}{5 x+11 x^2+7 x^3+x^4+e^5 \left(-10 x-12 x^2-2 x^3\right) \log ^2(5+x)+e^{10} \left(5 x+x^2\right) \log ^4(5+x)} \, dx","Integrate[(E^5*(-10 - 2*x + 10*x^2 + 2*x^3) + E^10*(10 - 8*x - 2*x^2)*Log[5 + x]^2 + Log[(3*E^x)/x]*(E^5*(-10*x - 2*x^2) + 4*E^10*x*Log[5 + x]))/(5*x + 11*x^2 + 7*x^3 + x^4 + E^5*(-10*x - 12*x^2 - 2*x^3)*Log[5 + x]^2 + E^10*(5*x + x^2)*Log[5 + x]^4),x]","-\frac{2 e^5 \log \left(\frac{3 e^x}{x}\right)}{-x+e^5 \log ^2(x+5)-1}","\frac{2 \log \left(\frac{3 e^x}{x}\right)}{\frac{x+1}{e^5}-\log ^2(x+5)}",1,"(-2*E^5*Log[(3*E^x)/x])/(-1 - x + E^5*Log[5 + x]^2)","A",1
6870,1,26,28,0.2236269,"\int \frac{e^2 (-1-2 x)+6 x+14 x^2+4 x^3+\left(e^2-6 x-2 x^2\right) \log \left(\frac{-e^2+6 x+2 x^2}{2 x}\right)+\log (x) \left(-3 e^2+12 x+2 x^2+\left(e^2-6 x-2 x^2\right) \log \left(\frac{-e^2+6 x+2 x^2}{2 x}\right)\right)}{e^2-6 x-2 x^2} \, dx","Integrate[(E^2*(-1 - 2*x) + 6*x + 14*x^2 + 4*x^3 + (E^2 - 6*x - 2*x^2)*Log[(-E^2 + 6*x + 2*x^2)/(2*x)] + Log[x]*(-3*E^2 + 12*x + 2*x^2 + (E^2 - 6*x - 2*x^2)*Log[(-E^2 + 6*x + 2*x^2)/(2*x)]))/(E^2 - 6*x - 2*x^2),x]","x \left(-x+\log (x) \left(\log \left(x-\frac{e^2}{2 x}+3\right)-2\right)+1\right)","-x^2+x+x \log (x) \left(\log \left(x-\frac{e^2}{2 x}+3\right)-2\right)-1",1,"x*(1 - x + Log[x]*(-2 + Log[3 - E^2/(2*x) + x]))","A",1
6871,1,27,32,0.0657275,"\int \frac{-75+140 x+20 x^3+e^{2 x} \left(-3 x^2+9 x^4+6 x^5\right)+e^x \left(30 x-29 x^2-61 x^3-4 x^4-x^5+x^6\right)}{25+e^x \left(-10 x-10 x^2\right)+e^{2 x} \left(x^2+2 x^3+x^4\right)} \, dx","Integrate[(-75 + 140*x + 20*x^3 + E^(2*x)*(-3*x^2 + 9*x^4 + 6*x^5) + E^x*(30*x - 29*x^2 - 61*x^3 - 4*x^4 - x^5 + x^6))/(25 + E^x*(-10*x - 10*x^2) + E^(2*x)*(x^2 + 2*x^3 + x^4)),x]","x \left(\frac{x-x^3}{e^x x (x+1)-5}+3 x-3\right)","3-(1-x) \left(\frac{x}{\frac{5}{x^2+x}-e^x}+3 x\right)",1,"x*(-3 + 3*x + (x - x^3)/(-5 + E^x*x*(1 + x)))","A",1
6872,1,23,28,0.0465229,"\int \frac{1}{10} e^{-x} \left(-10+4 x-x^2+\left(-4 x+2 x^2\right) \log (3)\right) \, dx","Integrate[(-10 + 4*x - x^2 + (-4*x + 2*x^2)*Log[3])/(10*E^x),x]","\frac{1}{10} e^{-x} \left(-\left(x^2 (\log (9)-1)\right)-2 x+8\right)","\frac{1}{5} \left(e^{-x} \left(x \left(\frac{x}{2}+x (-\log (3))-1\right)+4\right)+3\right)",1,"(8 - 2*x - x^2*(-1 + Log[9]))/(10*E^x)","A",1
6873,1,22,27,0.0380693,"\int \frac{18-36 x+e^{x^2} \left(-18-36 x^2\right)}{-729-243 x+216 x^2+53 x^3+e^{3 x^2} x^3-24 x^4-3 x^5+x^6+\left(-243-54 x+51 x^2+6 x^3-3 x^4\right) \log (4)+\left(-27-3 x+3 x^2\right) \log ^2(4)-\log ^3(4)+e^{2 x^2} \left(-27 x^2-3 x^3+3 x^4-3 x^2 \log (4)\right)+e^{x^2} \left(243 x+54 x^2-51 x^3-6 x^4+3 x^5+\left(54 x+6 x^2-6 x^3\right) \log (4)+3 x \log ^2(4)\right)} \, dx","Integrate[(18 - 36*x + E^x^2*(-18 - 36*x^2))/(-729 - 243*x + 216*x^2 + 53*x^3 + E^(3*x^2)*x^3 - 24*x^4 - 3*x^5 + x^6 + (-243 - 54*x + 51*x^2 + 6*x^3 - 3*x^4)*Log[4] + (-27 - 3*x + 3*x^2)*Log[4]^2 - Log[4]^3 + E^(2*x^2)*(-27*x^2 - 3*x^3 + 3*x^4 - 3*x^2*Log[4]) + E^x^2*(243*x + 54*x^2 - 51*x^3 - 6*x^4 + 3*x^5 + (54*x + 6*x^2 - 6*x^3)*Log[4] + 3*x*Log[4]^2)),x]","\frac{9}{\left(x^2+\left(e^{x^2}-1\right) x-9-\log (4)\right)^2}","\frac{9}{x^2 \left(-e^{x^2}-x+\frac{x+9+\log (4)}{x}\right)^2}",1,"9/(-9 + (-1 + E^x^2)*x + x^2 - Log[4])^2","A",1
6874,1,23,23,0.1557219,"\int \frac{4-9 x-4 e^{-2+x} x+\left(-4 e^{-2+x}-9 x+4 \log (x)\right) \log \left(\frac{1}{4} \left(4 e^{-2+x}+9 x-4 \log (x)\right)\right)+\left(4 e^{-2+x}+9 x-4 \log (x)\right) \log \left(\frac{1}{4} \left(4 e^{-2+x}+9 x-4 \log (x)\right)\right) \log \left(x \log \left(\frac{1}{4} \left(4 e^{-2+x}+9 x-4 \log (x)\right)\right)\right)}{\left(-4 e^{-2+x} x^2-9 x^3+4 x^2 \log (x)\right) \log \left(\frac{1}{4} \left(4 e^{-2+x}+9 x-4 \log (x)\right)\right)} \, dx","Integrate[(4 - 9*x - 4*E^(-2 + x)*x + (-4*E^(-2 + x) - 9*x + 4*Log[x])*Log[(4*E^(-2 + x) + 9*x - 4*Log[x])/4] + (4*E^(-2 + x) + 9*x - 4*Log[x])*Log[(4*E^(-2 + x) + 9*x - 4*Log[x])/4]*Log[x*Log[(4*E^(-2 + x) + 9*x - 4*Log[x])/4]])/((-4*E^(-2 + x)*x^2 - 9*x^3 + 4*x^2*Log[x])*Log[(4*E^(-2 + x) + 9*x - 4*Log[x])/4]),x]","\frac{\log \left(x \log \left(\frac{9 x}{4}+e^{x-2}-\log (x)\right)\right)}{x}","\frac{\log \left(x \log \left(\frac{9 x}{4}+e^{x-2}-\log (x)\right)\right)}{x}",1,"Log[x*Log[E^(-2 + x) + (9*x)/4 - Log[x]]]/x","A",1
6875,1,22,22,0.0243256,"\int \frac{15\ 2^{1-2 e^{e^2}} e^{e^2} \left(6-2 e^6-3 x\right)^{2 e^{e^2}}}{-6+2 e^6+3 x} \, dx","Integrate[(15*2^(1 - 2*E^E^2)*E^E^2*(6 - 2*E^6 - 3*x)^(2*E^E^2))/(-6 + 2*E^6 + 3*x),x]","5 \left(-\frac{3 x}{2}-e^6+3\right)^{2 e^{e^2}}","5 \left(-\frac{3 x}{2}-e^6+3\right)^{2 e^{e^2}}",1,"5*(3 - E^6 - (3*x)/2)^(2*E^E^2)","A",1
6876,1,31,32,0.4798221,"\int \frac{\exp \left(\frac{-x^3+\log \left(\frac{x^4}{\log ^2(x)}\right)+x \log \left(\frac{\log (3 x)}{\log (x)}\right)}{-x^2+\log \left(\frac{\log (3 x)}{\log (x)}\right)}\right) \left(\left(2 x^2+\left(-4 x^2+x^5\right) \log (x)\right) \log (3 x)+\left(-\log (x)+\left(1+2 x^2 \log (x)\right) \log (3 x)\right) \log \left(\frac{x^4}{\log ^2(x)}\right)+\left(-2+\left(4-2 x^3\right) \log (x)\right) \log (3 x) \log \left(\frac{\log (3 x)}{\log (x)}\right)+x \log (x) \log (3 x) \log ^2\left(\frac{\log (3 x)}{\log (x)}\right)\right)}{x^5 \log (x) \log (3 x)-2 x^3 \log (x) \log (3 x) \log \left(\frac{\log (3 x)}{\log (x)}\right)+x \log (x) \log (3 x) \log ^2\left(\frac{\log (3 x)}{\log (x)}\right)} \, dx","Integrate[(E^((-x^3 + Log[x^4/Log[x]^2] + x*Log[Log[3*x]/Log[x]])/(-x^2 + Log[Log[3*x]/Log[x]]))*((2*x^2 + (-4*x^2 + x^5)*Log[x])*Log[3*x] + (-Log[x] + (1 + 2*x^2*Log[x])*Log[3*x])*Log[x^4/Log[x]^2] + (-2 + (4 - 2*x^3)*Log[x])*Log[3*x]*Log[Log[3*x]/Log[x]] + x*Log[x]*Log[3*x]*Log[Log[3*x]/Log[x]]^2))/(x^5*Log[x]*Log[3*x] - 2*x^3*Log[x]*Log[3*x]*Log[Log[3*x]/Log[x]] + x*Log[x]*Log[3*x]*Log[Log[3*x]/Log[x]]^2),x]","e^x \left(\frac{x^4}{\log ^2(x)}\right)^{\frac{1}{\log \left(\frac{\log (3 x)}{\log (x)}\right)-x^2}}","e^{\frac{\log \left(\frac{x^4}{\log ^2(x)}\right)}{\log \left(\frac{\log (3 x)}{\log (x)}\right)-x^2}+x}",1,"E^x*(x^4/Log[x]^2)^(-x^2 + Log[Log[3*x]/Log[x]])^(-1)","A",1
6877,1,62,37,0.1174466,"\int \frac{300 x-100 x^2+e^x (-60+20 x)+e^{3 x} \left(-6 x-3 x^2-5 x^3+2 x^4\right)+e^{2 x} \left(55 x^3+15 x^4-10 x^5\right)+\left(e^{3 x} \left(6+6 x+10 x^2-4 x^3\right)+e^{2 x} \left(-70 x^2-40 x^3+20 x^4\right)\right) \log \left(\frac{e^x (-3+x)+15 x-5 x^2}{x}\right)+\left(e^{3 x} \left(-3-5 x+2 x^2\right)+e^{2 x} \left(15 x+25 x^2-10 x^3\right)\right) \log ^2\left(\frac{e^x (-3+x)+15 x-5 x^2}{x}\right)}{300 x-100 x^2+e^x (-60+20 x)} \, dx","Integrate[(300*x - 100*x^2 + E^x*(-60 + 20*x) + E^(3*x)*(-6*x - 3*x^2 - 5*x^3 + 2*x^4) + E^(2*x)*(55*x^3 + 15*x^4 - 10*x^5) + (E^(3*x)*(6 + 6*x + 10*x^2 - 4*x^3) + E^(2*x)*(-70*x^2 - 40*x^3 + 20*x^4))*Log[(E^x*(-3 + x) + 15*x - 5*x^2)/x] + (E^(3*x)*(-3 - 5*x + 2*x^2) + E^(2*x)*(15*x + 25*x^2 - 10*x^3))*Log[(E^x*(-3 + x) + 15*x - 5*x^2)/x]^2)/(300*x - 100*x^2 + E^x*(-60 + 20*x)),x]","\frac{1}{20} x \left(e^{2 x} x^2+e^{2 x} \log ^2\left(\frac{\left(e^x-5 x\right) (x-3)}{x}\right)-2 e^{2 x} x \log \left(\frac{\left(e^x-5 x\right) (x-3)}{x}\right)+20\right)","x+\frac{1}{20} e^{2 x} x \left(\log \left(\frac{(3-x) \left(5 x-e^x\right)}{x}\right)-x\right)^2",1,"(x*(20 + E^(2*x)*x^2 - 2*E^(2*x)*x*Log[((E^x - 5*x)*(-3 + x))/x] + E^(2*x)*Log[((E^x - 5*x)*(-3 + x))/x]^2))/20","A",1
6878,1,17,20,0.0129755,"\int \frac{-4 e^4+2 x^2-4 x \log (625)+2 \log ^2(625)}{x^2-2 x \log (625)+\log ^2(625)} \, dx","Integrate[(-4*E^4 + 2*x^2 - 4*x*Log[625] + 2*Log[625]^2)/(x^2 - 2*x*Log[625] + Log[625]^2),x]","2 x+\frac{4 e^4}{x-\log (625)}","2 x+\frac{4 e^4}{x-\log (625)}+e^3",1,"2*x + (4*E^4)/(x - Log[625])","A",1
6879,1,20,13,0.0069547,"\int \left(1+512 e^{2 x}+e^x (-192-192 x)+72 x\right) \, dx","Integrate[1 + 512*E^(2*x) + E^x*(-192 - 192*x) + 72*x,x]","36 x^2-192 e^x x+x+256 e^{2 x}","\left(6 x-16 e^x\right)^2+x",1,"256*E^(2*x) + x - 192*E^x*x + 36*x^2","A",1
6880,1,25,20,0.0240165,"\int e^{-5+x^2} \left(-4 x+e^5 \left(1-12 x-2 e x+2 e^3 x+2 x^2\right)\right) \, dx","Integrate[E^(-5 + x^2)*(-4*x + E^5*(1 - 12*x - 2*E*x + 2*E^3*x + 2*x^2)),x]","e^{x^2-5} \left(e^5 (x-6)+e^8-e^6-2\right)","e^{x^2} \left(x+e^3-e-\frac{2}{e^5}-6\right)",1,"E^(-5 + x^2)*(-2 - E^6 + E^8 + E^5*(-6 + x))","A",1
6881,1,95,27,0.0624497,"\int \frac{11264+83968 x+107520 x^2+50688 x^3+8192 x^4+\left(2304+14592 x+12864 x^2+3072 x^3\right) \log (5)+\left(144+840 x+384 x^2\right) \log ^2(5)+(3+16 x) \log ^3(5)}{32768+49152 x+24576 x^2+4096 x^3+\left(6144+6144 x+1536 x^2\right) \log (5)+(384+192 x) \log ^2(5)+8 \log ^3(5)} \, dx","Integrate[(11264 + 83968*x + 107520*x^2 + 50688*x^3 + 8192*x^4 + (2304 + 14592*x + 12864*x^2 + 3072*x^3)*Log[5] + (144 + 840*x + 384*x^2)*Log[5]^2 + (3 + 16*x)*Log[5]^3)/(32768 + 49152*x + 24576*x^2 + 4096*x^3 + (6144 + 6144*x + 1536*x^2)*Log[5] + (384 + 192*x)*Log[5]^2 + 8*Log[5]^3),x]","\frac{4096 x^4+512 x^3 (35+\log (25))+576 x^2 (16+\log (5))-8 x (16+\log (5))^2 (23+\log (25))+9 \log ^4(5)+\log ^3(5) (419-5 \log (25))-48 \log ^2(5) (5 \log (25)-131)-512 (103+40 \log (25))-3840 \log (5) (\log (25)-7)}{64 (8 x+16+\log (5))^2}","x^2+\frac{3}{8} \left(x+\frac{4}{3 \left(2 x+4+\frac{\log (5)}{4}\right)^2}\right)",1,"(4096*x^4 + 9*Log[5]^4 + 576*x^2*(16 + Log[5]) + Log[5]^3*(419 - 5*Log[25]) - 3840*Log[5]*(-7 + Log[25]) - 8*x*(16 + Log[5])^2*(23 + Log[25]) + 512*x^3*(35 + Log[25]) - 48*Log[5]^2*(-131 + 5*Log[25]) - 512*(103 + 40*Log[25]))/(64*(16 + 8*x + Log[5])^2)","B",1
6882,1,17,17,0.0827892,"\int e^{-24 x^2} \left(12 x^3 \log ^3\left(x^3\right)+\left(4 x^3-48 x^5\right) \log ^4\left(x^3\right)\right) \, dx","Integrate[(12*x^3*Log[x^3]^3 + (4*x^3 - 48*x^5)*Log[x^3]^4)/E^(24*x^2),x]","e^{-24 x^2} x^4 \log ^4\left(x^3\right)","e^{-24 x^2} x^4 \log ^4\left(x^3\right)",1,"(x^4*Log[x^3]^4)/E^(24*x^2)","A",1
6883,1,28,33,0.1590764,"\int \frac{-16-7 x+31 x^2+8 x^3-16 x^4+\left(-16-31 x^2-16 x^3+48 x^4\right) \log (x)}{x^2 \log ^2(x)} \, dx","Integrate[(-16 - 7*x + 31*x^2 + 8*x^3 - 16*x^4 + (-16 - 31*x^2 - 16*x^3 + 48*x^4)*Log[x])/(x^2*Log[x]^2),x]","\frac{16 x^4-8 x^3-31 x^2+7 x+16}{x \log (x)}","\frac{\left(\frac{\left(1-2 x^2\right)^2-1}{x^2}-x\right)^2-x}{x \log (x)}",1,"(16 + 7*x - 31*x^2 - 8*x^3 + 16*x^4)/(x*Log[x])","A",1
6884,1,27,28,0.2204412,"\int \frac{200 x+120 x^2-22 x^3-12 x^4+2 x^5+\left(-60 x^2+22 x^3+18 x^4-4 x^5\right) \log (x)+\left(-400 x-360 x^2+88 x^3+60 x^4-12 x^5\right) \log ^2(x)+\left(-200 x-180 x^2+44 x^3+30 x^4-6 x^5\right) \log ^3(x)}{3 \log ^3(x)} \, dx","Integrate[(200*x + 120*x^2 - 22*x^3 - 12*x^4 + 2*x^5 + (-60*x^2 + 22*x^3 + 18*x^4 - 4*x^5)*Log[x] + (-400*x - 360*x^2 + 88*x^3 + 60*x^4 - 12*x^5)*Log[x]^2 + (-200*x - 180*x^2 + 44*x^3 + 30*x^4 - 6*x^5)*Log[x]^3)/(3*Log[x]^3),x]","-\frac{x^2 \left(x^2-3 x-10\right)^2 (\log (x)+1)^2}{3 \log ^2(x)}","3 \left(1-\frac{1}{9} (x-5)^2 (x+2)^2 \left(x+\frac{x}{\log (x)}\right)^2\right)",1,"-1/3*(x^2*(-10 - 3*x + x^2)^2*(1 + Log[x])^2)/Log[x]^2","A",1
6885,0,0,27,2.0647153,"\int \frac{x^{-\frac{25}{-84+8 x+x^2+e^{-4-2 x+2 x^2} x^2+e^{-2-x+x^2} x (8+2 x)}} \left(2100-200 x-25 x^2+\left(200 x+50 x^2\right) \log (x)+e^{-4-2 x+2 x^2} x^2 \left(-25+\left(50-50 x+100 x^2\right) \log (x)\right)+e^{-2-x+x^2} x \left(-200-50 x+\left(200-100 x+350 x^2+100 x^3\right) \log (x)\right)\right)}{7056 x-1344 x^2-104 x^3+16 x^4+x^5+e^{-8-4 x+4 x^2} x^5+e^{-6-3 x+3 x^2} x^3 \left(16 x+4 x^2\right)+e^{-4-2 x+2 x^2} x^2 \left(-104 x+48 x^2+6 x^3\right)+e^{-2-x+x^2} x \left(-1344 x-208 x^2+48 x^3+4 x^4\right)} \, dx","Integrate[(2100 - 200*x - 25*x^2 + (200*x + 50*x^2)*Log[x] + E^(-4 - 2*x + 2*x^2)*x^2*(-25 + (50 - 50*x + 100*x^2)*Log[x]) + E^(-2 - x + x^2)*x*(-200 - 50*x + (200 - 100*x + 350*x^2 + 100*x^3)*Log[x]))/(x^(25/(-84 + 8*x + x^2 + E^(-4 - 2*x + 2*x^2)*x^2 + E^(-2 - x + x^2)*x*(8 + 2*x)))*(7056*x - 1344*x^2 - 104*x^3 + 16*x^4 + x^5 + E^(-8 - 4*x + 4*x^2)*x^5 + E^(-6 - 3*x + 3*x^2)*x^3*(16*x + 4*x^2) + E^(-4 - 2*x + 2*x^2)*x^2*(-104*x + 48*x^2 + 6*x^3) + E^(-2 - x + x^2)*x*(-1344*x - 208*x^2 + 48*x^3 + 4*x^4))),x]","\int \frac{x^{-\frac{25}{-84+8 x+x^2+e^{-4-2 x+2 x^2} x^2+e^{-2-x+x^2} x (8+2 x)}} \left(2100-200 x-25 x^2+\left(200 x+50 x^2\right) \log (x)+e^{-4-2 x+2 x^2} x^2 \left(-25+\left(50-50 x+100 x^2\right) \log (x)\right)+e^{-2-x+x^2} x \left(-200-50 x+\left(200-100 x+350 x^2+100 x^3\right) \log (x)\right)\right)}{7056 x-1344 x^2-104 x^3+16 x^4+x^5+e^{-8-4 x+4 x^2} x^5+e^{-6-3 x+3 x^2} x^3 \left(16 x+4 x^2\right)+e^{-4-2 x+2 x^2} x^2 \left(-104 x+48 x^2+6 x^3\right)+e^{-2-x+x^2} x \left(-1344 x-208 x^2+48 x^3+4 x^4\right)} \, dx","x^{\frac{1}{4-\frac{1}{25} \left(e^{x^2-x-2} x+x+4\right)^2}}",1,"Integrate[(2100 - 200*x - 25*x^2 + (200*x + 50*x^2)*Log[x] + E^(-4 - 2*x + 2*x^2)*x^2*(-25 + (50 - 50*x + 100*x^2)*Log[x]) + E^(-2 - x + x^2)*x*(-200 - 50*x + (200 - 100*x + 350*x^2 + 100*x^3)*Log[x]))/(x^(25/(-84 + 8*x + x^2 + E^(-4 - 2*x + 2*x^2)*x^2 + E^(-2 - x + x^2)*x*(8 + 2*x)))*(7056*x - 1344*x^2 - 104*x^3 + 16*x^4 + x^5 + E^(-8 - 4*x + 4*x^2)*x^5 + E^(-6 - 3*x + 3*x^2)*x^3*(16*x + 4*x^2) + E^(-4 - 2*x + 2*x^2)*x^2*(-104*x + 48*x^2 + 6*x^3) + E^(-2 - x + x^2)*x*(-1344*x - 208*x^2 + 48*x^3 + 4*x^4))), x]","F",-1
6886,1,4,20,0.0000736,"\int \log (2) \, dx","Integrate[Log[2],x]","x \log (2)","\log (2) \left(x+4+\log \left(e^3+e^{10 e^2}\right)\right)-4",1,"x*Log[2]","A",1
6887,1,15,16,0.0304243,"\int \frac{-10+e^x (2-x)}{-5 x+e^x x} \, dx","Integrate[(-10 + E^x*(2 - x))/(-5*x + E^x*x),x]","2 \log (x)-\log \left(5-e^x\right)","\log \left(\frac{4 e^4 x^2}{e^x-5}\right)",1,"-Log[5 - E^x] + 2*Log[x]","A",1
6888,1,31,30,0.2313347,"\int \frac{3 x^2+x^3+e^{x+x^2} \left(-6 x+6 x^2+21 x^3+6 x^4\right)+\left(6 x+2 x^2+e^{x+x^2} \left(9 x+21 x^2+6 x^3\right)\right) \log \left(\frac{2}{e^{5/3} (3+x)}\right)+(3+x) \log ^2\left(\frac{2}{e^{5/3} (3+x)}\right)}{3 x^3+x^4+\left(6 x^2+2 x^3\right) \log \left(\frac{2}{e^{5/3} (3+x)}\right)+\left(3 x+x^2\right) \log ^2\left(\frac{2}{e^{5/3} (3+x)}\right)} \, dx","Integrate[(3*x^2 + x^3 + E^(x + x^2)*(-6*x + 6*x^2 + 21*x^3 + 6*x^4) + (6*x + 2*x^2 + E^(x + x^2)*(9*x + 21*x^2 + 6*x^3))*Log[2/(E^(5/3)*(3 + x))] + (3 + x)*Log[2/(E^(5/3)*(3 + x))]^2)/(3*x^3 + x^4 + (6*x^2 + 2*x^3)*Log[2/(E^(5/3)*(3 + x))] + (3*x + x^2)*Log[2/(E^(5/3)*(3 + x))]^2),x]","\frac{9 e^{x^2+x}}{3 x+3 \log \left(\frac{1}{x+3}\right)-5+3 \log (2)}+\log (x)","\frac{3 e^{x^2+x}}{x+\log \left(\frac{2}{e^{5/3} (x+3)}\right)}+\log (x)+2",1,"Log[x] + (9*E^(x + x^2))/(-5 + 3*x + 3*Log[2] + 3*Log[(3 + x)^(-1)])","A",1
6889,1,20,21,0.0098804,"\int \frac{4 e^{10}+3 x^2+e^5 (-1+7 x)}{4 e^{10}+7 e^5 x+3 x^2} \, dx","Integrate[(4*E^10 + 3*x^2 + E^5*(-1 + 7*x))/(4*E^10 + 7*E^5*x + 3*x^2),x]","x-\log \left(x+e^5\right)+\log \left(3 x+4 e^5\right)","\log \left(\frac{x}{\frac{x^2}{e^5}+x}+3\right)+x+e^4",1,"x - Log[E^5 + x] + Log[4*E^5 + 3*x]","A",1
6890,1,31,26,0.7261314,"\int \frac{\left(-e^{2 x}+3 e^x x-2 x^2\right) \log \left(\frac{e^{2 x} x-2 e^x x^2}{e^{2 x}-2 e^x x+x^2}\right)+\left(e^{2 x}-3 e^x x+2 x^3\right) \log (x) \log (\log (x))+\left(e^{2 x}-3 e^x x+2 x^2\right) \log (x) \log \left(\frac{e^{2 x} x-2 e^x x^2}{e^{2 x}-2 e^x x+x^2}\right) \log (\log (x)) \log \left(\frac{\log \left(\frac{e^{2 x} x-2 e^x x^2}{e^{2 x}-2 e^x x+x^2}\right)}{\log (\log (x))}\right)}{\left(e^{2 x}-3 e^x x+2 x^2\right) \log (x) \log \left(\frac{e^{2 x} x-2 e^x x^2}{e^{2 x}-2 e^x x+x^2}\right) \log (\log (x))} \, dx","Integrate[((-E^(2*x) + 3*E^x*x - 2*x^2)*Log[(E^(2*x)*x - 2*E^x*x^2)/(E^(2*x) - 2*E^x*x + x^2)] + (E^(2*x) - 3*E^x*x + 2*x^3)*Log[x]*Log[Log[x]] + (E^(2*x) - 3*E^x*x + 2*x^2)*Log[x]*Log[(E^(2*x)*x - 2*E^x*x^2)/(E^(2*x) - 2*E^x*x + x^2)]*Log[Log[x]]*Log[Log[(E^(2*x)*x - 2*E^x*x^2)/(E^(2*x) - 2*E^x*x + x^2)]/Log[Log[x]]])/((E^(2*x) - 3*E^x*x + 2*x^2)*Log[x]*Log[(E^(2*x)*x - 2*E^x*x^2)/(E^(2*x) - 2*E^x*x + x^2)]*Log[Log[x]]),x]","x \log \left(\frac{\log \left(\frac{e^x \left(e^x-2 x\right) x}{\left(e^x-x\right)^2}\right)}{\log (\log (x))}\right)","x \log \left(\frac{\log \left(x-\frac{x^3}{\left(x-e^x\right)^2}\right)}{\log (\log (x))}\right)",1,"x*Log[Log[(E^x*(E^x - 2*x)*x)/(E^x - x)^2]/Log[Log[x]]]","A",1
6891,1,18,19,0.2393768,"\int \frac{-2-x+x^2+3 \log (x)}{\left(-x^2-x^3+x \log (x)\right) \log \left(\frac{4 x^3}{x^2+2 x^3+x^4+\left(-2 x-2 x^2\right) \log (x)+\log ^2(x)}\right)} \, dx","Integrate[(-2 - x + x^2 + 3*Log[x])/((-x^2 - x^3 + x*Log[x])*Log[(4*x^3)/(x^2 + 2*x^3 + x^4 + (-2*x - 2*x^2)*Log[x] + Log[x]^2)]),x]","\log \left(\log \left(\frac{4 x^3}{\left(x^2+x-\log (x)\right)^2}\right)\right)","\log \left(\log \left(\frac{4 x}{\left(x+\frac{x-\log (x)}{x}\right)^2}\right)\right)",1,"Log[Log[(4*x^3)/(x + x^2 - Log[x])^2]]","A",1
6892,1,22,24,0.2174191,"\int \frac{e^{\frac{1}{e^2}} (50-10 x)+e^x (10-2 x)+\left(5 e^{\frac{1}{e^2}} x+e^x \left(-4 x+x^2\right)\right) \log (x)}{5 x \log ^3(x)} \, dx","Integrate[(E^E^(-2)*(50 - 10*x) + E^x*(10 - 2*x) + (5*E^E^(-2)*x + E^x*(-4*x + x^2))*Log[x])/(5*x*Log[x]^3),x]","\frac{\left(e^x+5 e^{\frac{1}{e^2}}\right) (x-5)}{5 \log ^2(x)}","-\frac{\left(\frac{e^x}{5}+e^{\frac{1}{e^2}}\right) (5-x)}{\log ^2(x)}",1,"((5*E^E^(-2) + E^x)*(-5 + x))/(5*Log[x]^2)","A",1
6893,1,12,17,0.0022909,"\int \left(2+e^x-2 x\right) \, dx","Integrate[2 + E^x - 2*x,x]","-x^2+2 x+e^x","-x^2+2 x+e^x+5-\log (6)",1,"E^x + 2*x - x^2","A",1
6894,1,26,23,0.2072317,"\int \frac{-60 e^{\frac{19}{9}+\frac{20 e^2}{x}}+x^2}{3 \sqrt[9]{e} x^2+3 e^{\frac{1}{9}+\frac{20 e^2}{x}} x^2+x^3} \, dx","Integrate[(-60*E^(19/9 + (20*E^2)/x) + x^2)/(3*E^(1/9)*x^2 + 3*E^(1/9 + (20*E^2)/x)*x^2 + x^3),x]","\log \left(x+3 e^{\frac{20 e^2}{x}+\frac{1}{9}}+3 \sqrt[9]{e}\right)","\log \left(\sqrt[9]{e} \left(3 e^{\frac{20 e^2}{x}}+3\right)+x\right)",1,"Log[3*E^(1/9) + 3*E^(1/9 + (20*E^2)/x) + x]","A",1
6895,1,20,20,0.1210375,"\int \left(-3 x^2+e^{1-4 x+\log ^2(\log (3))} \left(2 x-4 x^2\right)\right) \, dx","Integrate[-3*x^2 + E^(1 - 4*x + Log[Log[3]]^2)*(2*x - 4*x^2),x]","x^2 \left(e^{-4 x+1+\log ^2(\log (3))}-x\right)","x^2 \left(e^{-4 x+1+\log ^2(\log (3))}-x\right)",1,"(E^(1 - 4*x + Log[Log[3]]^2) - x)*x^2","A",1
6896,1,37,18,0.3965066,"\int \frac{3+e+e^x \left(9+e^2+36 x+36 x^2+e (6+12 x)\right)}{-27-3 e^2+e (-18-35 x)-105 x-102 x^2+e^x \left(9+e^2+36 x+36 x^2+e (6+12 x)\right)} \, dx","Integrate[(3 + E + E^x*(9 + E^2 + 36*x + 36*x^2 + E*(6 + 12*x)))/(-27 - 3*E^2 + E*(-18 - 35*x) - 105*x - 102*x^2 + E^x*(9 + E^2 + 36*x + 36*x^2 + E*(6 + 12*x))),x]","\log \left(-6 e^x x+17 x-3 e^x-e^{x+1}+3 e+9\right)-\log (6 x+e+3)","\log \left(\frac{x}{6 x+e+3}+e^x-3\right)+4",1,"-Log[3 + E + 6*x] + Log[9 + 3*E - 3*E^x - E^(1 + x) + 17*x - 6*E^x*x]","B",1
6897,1,22,25,0.0525615,"\int \frac{e^{\frac{67837+6 x-3 x^2}{768 x}} \left(-67837-3 x^2\right)}{3072 x^2} \, dx","Integrate[(E^((67837 + 6*x - 3*x^2)/(768*x))*(-67837 - 3*x^2))/(3072*x^2),x]","\frac{1}{4} e^{-\frac{x}{256}+\frac{67837}{768 x}+\frac{1}{128}}","\frac{1}{4} e^{\frac{\frac{265}{3}-\frac{1}{256} (1-x)^2}{x}}",1,"E^(1/128 + 67837/(768*x) - x/256)/4","A",1
6898,1,28,26,2.8320663,"\int \frac{18+e^x (-8-4 x)-6 x-6 \log \left(\frac{3}{2}\right)+e^x \left(36-4 x^2-(12+4 x) \log \left(\frac{3}{2}\right)\right) \log \left(3-x-\log \left(\frac{3}{2}\right)\right)}{9-3 x-3 \log \left(\frac{3}{2}\right)} \, dx","Integrate[(18 + E^x*(-8 - 4*x) - 6*x - 6*Log[3/2] + E^x*(36 - 4*x^2 - (12 + 4*x)*Log[3/2])*Log[3 - x - Log[3/2]])/(9 - 3*x - 3*Log[3/2]),x]","\frac{2}{3} \left(3 x+2 e^x (x+2) \log \left(-x+3-\log \left(\frac{3}{2}\right)\right)\right)","2 x+\frac{4}{3} e^x (x+2) \log \left(-x+3-\log \left(\frac{3}{2}\right)\right)",1,"(2*(3*x + 2*E^x*(2 + x)*Log[3 - x - Log[3/2]]))/3","A",1
6899,1,22,16,0.0053786,"\int \left(6 e^{3 x}+\frac{6 x^2}{e^5}\right) \, dx","Integrate[6*E^(3*x) + (6*x^2)/E^5,x]","6 \left(\frac{x^3}{3 e^5}+\frac{e^{3 x}}{3}\right)","2 \left(\frac{x^3}{e^5}+e^{3 x}+1\right)",1,"6*(E^(3*x)/3 + x^3/(3*E^5))","A",1
6900,1,18,20,2.2829212,"\int \frac{-90 x^2-18 x^3-2 x^4-2 x^3 \log (x)+\left(-10 x^2+18 x^3+4 x^4+\left(30 x^2+6 x^3\right) \log (x)\right) \log (5+x)}{45+9 x+\left(-30 x-6 x^2+(-30-6 x) \log (x)\right) \log (5+x)+\left(5 x^2+x^3+\left(10 x+2 x^2\right) \log (x)+(5+x) \log ^2(x)\right) \log ^2(5+x)} \, dx","Integrate[(-90*x^2 - 18*x^3 - 2*x^4 - 2*x^3*Log[x] + (-10*x^2 + 18*x^3 + 4*x^4 + (30*x^2 + 6*x^3)*Log[x])*Log[5 + x])/(45 + 9*x + (-30*x - 6*x^2 + (-30 - 6*x)*Log[x])*Log[5 + x] + (5*x^2 + x^3 + (10*x + 2*x^2)*Log[x] + (5 + x)*Log[x]^2)*Log[5 + x]^2),x]","\frac{2 x^3}{(x+\log (x)) \log (x+5)-3}","\frac{2 x^3}{(x+\log (x)) \log (x+5)-3}+27",1,"(2*x^3)/(-3 + (x + Log[x])*Log[5 + x])","A",1
6901,1,22,14,0.035981,"\int \frac{(4+2 x) \log (x)+(-4-x) \log ^2(x)}{96 x^3} \, dx","Integrate[((4 + 2*x)*Log[x] + (-4 - x)*Log[x]^2)/(96*x^3),x]","\frac{1}{96} \left(\frac{2 \log ^2(x)}{x^2}+\frac{\log ^2(x)}{x}\right)","\frac{(x+2) \log ^2(x)}{96 x^2}",1,"((2*Log[x]^2)/x^2 + Log[x]^2/x)/96","A",1
6902,0,0,36,0.4119226,"\int \frac{\left(-40-2 x^2+4 x^3+x^5+8 x^6\right) \log \left(\frac{2-x^3}{x}\right)+\left(16 x^2+16 x^5\right) \log \left(\log \left(\frac{2-x^3}{x}\right)\right)+\left(-8 x^2+4 x^5\right) \log \left(\frac{2-x^3}{x}\right) \log ^2\left(\log \left(\frac{2-x^3}{x}\right)\right)}{\left(-8 x^2+4 x^5\right) \log \left(\frac{2-x^3}{x}\right)} \, dx","Integrate[((-40 - 2*x^2 + 4*x^3 + x^5 + 8*x^6)*Log[(2 - x^3)/x] + (16*x^2 + 16*x^5)*Log[Log[(2 - x^3)/x]] + (-8*x^2 + 4*x^5)*Log[(2 - x^3)/x]*Log[Log[(2 - x^3)/x]]^2)/((-8*x^2 + 4*x^5)*Log[(2 - x^3)/x]),x]","\int \frac{\left(-40-2 x^2+4 x^3+x^5+8 x^6\right) \log \left(\frac{2-x^3}{x}\right)+\left(16 x^2+16 x^5\right) \log \left(\log \left(\frac{2-x^3}{x}\right)\right)+\left(-8 x^2+4 x^5\right) \log \left(\frac{2-x^3}{x}\right) \log ^2\left(\log \left(\frac{2-x^3}{x}\right)\right)}{\left(-8 x^2+4 x^5\right) \log \left(\frac{2-x^3}{x}\right)} \, dx","x^2+x \left(\log ^2\left(\log \left(\frac{2}{x}-x^2\right)\right)+\frac{1}{4}\right)-\frac{5-x}{x}+1",1,"Integrate[((-40 - 2*x^2 + 4*x^3 + x^5 + 8*x^6)*Log[(2 - x^3)/x] + (16*x^2 + 16*x^5)*Log[Log[(2 - x^3)/x]] + (-8*x^2 + 4*x^5)*Log[(2 - x^3)/x]*Log[Log[(2 - x^3)/x]]^2)/((-8*x^2 + 4*x^5)*Log[(2 - x^3)/x]), x]","F",-1
6903,1,28,31,0.1084604,"\int \frac{-5+e^x (-5-2 x)+3 x-5 x^2-2 x^3+\left(-10 x-4 x^2\right) \log \left(e^x \left(5 x+2 x^2\right)\right)}{5+2 x} \, dx","Integrate[(-5 + E^x*(-5 - 2*x) + 3*x - 5*x^2 - 2*x^3 + (-10*x - 4*x^2)*Log[E^x*(5*x + 2*x^2)])/(5 + 2*x),x]","x^2+x^2 \left(-\log \left(e^x x (2 x+5)\right)\right)-x-e^x","x^2 \left(1-\log \left(e^x ((2 x+4) x+x)\right)\right)-x-e^x",1,"-E^x - x + x^2 - x^2*Log[E^x*x*(5 + 2*x)]","A",1
6904,1,18,18,0.0207841,"\int \left(1+2 x^2 \log (x)+3 x^2 \log \left(e^{\log ^2(x)} (28+\log (3))\right)\right) \, dx","Integrate[1 + 2*x^2*Log[x] + 3*x^2*Log[E^Log[x]^2*(28 + Log[3])],x]","x^3 \log \left((28+\log (3)) e^{\log ^2(x)}\right)+x","x^3 \log \left((28+\log (3)) e^{\log ^2(x)}\right)+x",1,"x + x^3*Log[E^Log[x]^2*(28 + Log[3])]","A",1
6905,1,80,24,0.074923,"\int \frac{96+e^3 (-48-8 x)+16 x+4 e^{4+2 x^2} x^2+e^6 (6+x)+e^{2+x^2} \left(8+48 x^2+e^3 \left(-2-12 x^2\right)\right)+\left(32-16 e^3+2 e^6+e^{2+x^2} \left(16 x^2-4 e^3 x^2\right)\right) \log (x)}{16 x-8 e^3 x+e^6 x} \, dx","Integrate[(96 + E^3*(-48 - 8*x) + 16*x + 4*E^(4 + 2*x^2)*x^2 + E^6*(6 + x) + E^(2 + x^2)*(8 + 48*x^2 + E^3*(-2 - 12*x^2)) + (32 - 16*E^3 + 2*E^6 + E^(2 + x^2)*(16*x^2 - 4*E^3*x^2))*Log[x])/(16*x - 8*E^3*x + E^6*x),x]","\frac{e^{2 x^2+4}-6 \left(e^3-4\right) e^{x^2+2}-2 \left(e^3-4\right) e^{x^2+2} \log (x)+\left(e^3-4\right)^2 x+\left(e^3-4\right)^2 \log ^2(x)+6 \left(e^3-4\right)^2 \log (x)}{\left(e^3-4\right)^2}","\left(-\frac{e^{x^2+2}}{e^3-4}+\log (x)+3\right)^2+x",1,"(E^(4 + 2*x^2) - 6*E^(2 + x^2)*(-4 + E^3) + (-4 + E^3)^2*x - 2*E^(2 + x^2)*(-4 + E^3)*Log[x] + 6*(-4 + E^3)^2*Log[x] + (-4 + E^3)^2*Log[x]^2)/(-4 + E^3)^2","B",1
6906,1,26,27,0.6527418,"\int \frac{8+16 x+96 x^2+128 x^3+2 \log \left(x^2\right)}{4 x^2+16 x^3+80 x^4+192 x^5+384 x^6+512 x^7+256 x^8+\left(4 x^2+8 x^3+32 x^4+32 x^5\right) \log \left(x^2\right)+x^2 \log ^2\left(x^2\right)} \, dx","Integrate[(8 + 16*x + 96*x^2 + 128*x^3 + 2*Log[x^2])/(4*x^2 + 16*x^3 + 80*x^4 + 192*x^5 + 384*x^6 + 512*x^7 + 256*x^8 + (4*x^2 + 8*x^3 + 32*x^4 + 32*x^5)*Log[x^2] + x^2*Log[x^2]^2),x]","-\frac{2}{x \left(16 x^3+16 x^2+\log \left(x^2\right)+4 x+2\right)}","\frac{2}{-x^2 (4 x+2)^2-x \log \left(x^2\right)-2 x}",1,"-2/(x*(2 + 4*x + 16*x^2 + 16*x^3 + Log[x^2]))","A",1
6907,1,17,17,0.0113962,"\int \frac{e^{e^{e^3+x}} \left(2 x+e^{e^3+x} x^2\right)}{\log (5)} \, dx","Integrate[(E^E^(E^3 + x)*(2*x + E^(E^3 + x)*x^2))/Log[5],x]","\frac{e^{e^{x+e^3}} x^2}{\log (5)}","\frac{e^{e^{x+e^3}} x^2}{\log (5)}",1,"(E^E^(E^3 + x)*x^2)/Log[5]","A",1
6908,1,23,24,0.3018639,"\int \frac{e^{\frac{-4 x+(2-x) \log ^2(3)}{\log ^2(3)}} \log ^2(3)+(2+x) \log ^2(3)+e^{\frac{-4 x+(2-x) \log ^2(3)}{\log ^2(3)}} \left(-8-4 x+(-2-x) \log ^2(3)\right) \log (4+2 x)}{(2+x) \log ^2(3)} \, dx","Integrate[(E^((-4*x + (2 - x)*Log[3]^2)/Log[3]^2)*Log[3]^2 + (2 + x)*Log[3]^2 + E^((-4*x + (2 - x)*Log[3]^2)/Log[3]^2)*(-8 - 4*x + (-2 - x)*Log[3]^2)*Log[4 + 2*x])/((2 + x)*Log[3]^2),x]","x+e^{x \left(-1-\frac{4}{\log ^2(3)}\right)+2} \log (2 (x+2))","x+e^{2-x \left(1+\frac{4}{\log ^2(3)}\right)} \log (2 x+4)",1,"x + E^(2 + x*(-1 - 4/Log[3]^2))*Log[2*(2 + x)]","A",1
6909,1,25,24,0.0290934,"\int \frac{-864+3096 x+1438 x^2-1719 x^3-4 x^4+4 x^5}{432 x^2-1764 x^3+1873 x^4-148 x^5+4 x^6} \, dx","Integrate[(-864 + 3096*x + 1438*x^2 - 1719*x^3 - 4*x^4 + 4*x^5)/(432*x^2 - 1764*x^3 + 1873*x^4 - 148*x^5 + 4*x^6),x]","\frac{2}{x-2 x^2}+\log \left(x^2-36 x+432\right)-\log (x)","\frac{2}{x-2 x^2}+\log \left(12 \left(\frac{36}{x}-3\right)+x\right)",1,"2/(x - 2*x^2) - Log[x] + Log[432 - 36*x + x^2]","A",1
6910,1,12,9,0.0009486,"\int \frac{1-e^{16}}{x^2} \, dx","Integrate[(1 - E^16)/x^2,x]","-\frac{1-e^{16}}{x}","\frac{e^{16}-1}{x}",1,"-((1 - E^16)/x)","A",1
6911,1,49,25,0.0393554,"\int \frac{50 x^2+20 x^3-10 x^4+e^4 \left(-100 x-30 x^2\right)+e^2 \left(-100 x^2-40 x^3\right)+\left(-10 x^2-4 x^3+2 x^4+e^4 \left(20 x+6 x^2\right)+e^2 \left(20 x^2+8 x^3\right)\right) \log (9)}{e^8+4 e^6 x+x^2-2 x^3+x^4+e^4 \left(-2 x+6 x^2\right)+e^2 \left(-4 x^2+4 x^3\right)} \, dx","Integrate[(50*x^2 + 20*x^3 - 10*x^4 + E^4*(-100*x - 30*x^2) + E^2*(-100*x^2 - 40*x^3) + (-10*x^2 - 4*x^3 + 2*x^4 + E^4*(20*x + 6*x^2) + E^2*(20*x^2 + 8*x^3))*Log[9])/(E^8 + 4*E^6*x + x^2 - 2*x^3 + x^4 + E^4*(-2*x + 6*x^2) + E^2*(-4*x^2 + 4*x^3)),x]","2 \left(x+\frac{3 e^4 (x-2)-14 e^2 x+6 x+2 e^6}{(x-1) x+2 e^2 x+e^4}\right) (\log (9)-5)","\frac{2 x^2 (x+5) (\log (9)-5)}{\left(x+e^2\right)^2-x}",1,"2*(x + (2*E^6 + 3*E^4*(-2 + x) + 6*x - 14*E^2*x)/(E^4 + 2*E^2*x + (-1 + x)*x))*(-5 + Log[9])","A",1
6912,1,10,16,0.0713355,"\int \frac{5+3 x}{90 x+3 x^2+5 x \log (x)} \, dx","Integrate[(5 + 3*x)/(90*x + 3*x^2 + 5*x*Log[x]),x]","\log (3 x+5 \log (x)+90)","\log \left(\frac{x}{5}+\frac{\log (x)}{3}+6\right)+3",1,"Log[90 + 3*x + 5*Log[x]]","A",1
6913,1,33,25,0.0324014,"\int \frac{2562890625 e^{16+\log ^2\left(\frac{15 x}{20+5 x+\log (4)}\right)} x^8 \left(160+8 \log (4)+(40+2 \log (4)) \log \left(\frac{15 x}{20+5 x+\log (4)}\right)\right)}{(20+5 x+\log (4))^8 \left(100 x+25 x^2+5 x \log (4)\right)} \, dx","Integrate[(2562890625*E^(16 + Log[(15*x)/(20 + 5*x + Log[4])]^2)*x^8*(160 + 8*Log[4] + (40 + 2*Log[4])*Log[(15*x)/(20 + 5*x + Log[4])]))/((20 + 5*x + Log[4])^8*(100*x + 25*x^2 + 5*x*Log[4])),x]","\frac{512578125 x^8 e^{\log ^2\left(\frac{15 x}{5 x+20+\log (4)}\right)+16}}{(5 x+20+\log (4))^8}","\frac{1}{5} e^{\left(\log \left(\frac{3 x}{x+4+\frac{\log (4)}{5}}\right)+4\right)^2}",1,"(512578125*E^(16 + Log[(15*x)/(20 + 5*x + Log[4])]^2)*x^8)/(20 + 5*x + Log[4])^8","A",1
6914,1,35,27,0.0229706,"\int \frac{e^2 \left(-6 x-30 x^2-2 x^3\right)+2 \log (x)-\log ^2(x)}{e^2 x^2} \, dx","Integrate[(E^2*(-6*x - 30*x^2 - 2*x^3) + 2*Log[x] - Log[x]^2)/(E^2*x^2),x]","-\frac{e^2 x^2+30 e^2 x-\frac{\log ^2(x)}{x}+6 e^2 \log (x)}{e^2}","-x^2+\frac{\log ^2(x)}{e^2 x}-6 \log \left(e^{5 x} x\right)",1,"-((30*E^2*x + E^2*x^2 + 6*E^2*Log[x] - Log[x]^2/x)/E^2)","A",1
6915,1,23,22,0.0622449,"\int \frac{-152587890625-3784179687500 x-43945312500000 x^2-317187500000000 x^3-1592500000000000 x^4-5896800000000000 x^5-16656640000000000 x^6-36608000000000000 x^7-63258624000000000 x^8-86219161600000000 x^9-92366962688000000 x^{10}-76947023462400000 x^{11}-48855252992000000 x^{12}-22849226014720000 x^{13}-7421703487488000 x^{14}-1495335813775360 x^{15}-140737488355328 x^{16}+\left(732421875000 x^2+15859375000000 x^3+159250000000000 x^4+982800000000000 x^5+4164160000000000 x^6+12812800000000000 x^7+29520691200000000 x^8+51731496960000000 x^9+69275222016000000 x^{10}+70534771507200000 x^{11}+53740778291200000 x^{12}+29703993819136000 x^{13}+11256250289356800 x^{14}+2616837674106880 x^{15}+281474976710656 x^{16}\right) \log (4)+\left(-1531250000000 x^4-28350000000000 x^5-240240000000000 x^6-1232000000000000 x^7-4257792000000000 x^8-10445783040000000 x^9-18651021312000000 x^{10}-24415882444800000 x^{11}-23253221376000000 x^{12}-15708842885120000 x^{13}-7143389606707200 x^{14}-1962628255580160 x^{15}-246290604621824 x^{16}\right) \log ^2(4)+\left(1820000000000 x^6+28000000000000 x^7+193536000000000 x^8+791347200000000 x^9+2119434240000000 x^{10}+3884344934400000 x^{11}+4932501504000000 x^{12}+4284229877760000 x^{13}+2435246456832000 x^{14}+817761773158400 x^{15}+123145302310912 x^{16}\right) \log ^3(4)+\left(-1344000000000 x^8-16486400000000 x^9-88309760000000 x^{10}-269746176000000 x^{11}-513802240000000 x^{12}-624783523840000 x^{13}-473520144384000 x^{14}-204440443289600 x^{15}-38482906972160 x^{16}\right) \log ^4(4)+\left(630784000000 x^{10}+5780275200000 x^{11}+22020096000000 x^{12}+44627394560000 x^{13}+50734301184000 x^{14}+30666066493440 x^{15}+7696581394432 x^{16}\right) \log ^5(4)+\left(-183500800000 x^{12}-1115684864000 x^{13}-2536715059200 x^{14}-2555505541120 x^{15}-962072674304 x^{16}\right) \log ^6(4)+\left(30198988800 x^{14}+91268055040 x^{15}+68719476736 x^{16}\right) \log ^7(4)-2147483648 x^{16} \log ^8(4)}{134217728 x^{33}} \, dx","Integrate[(-152587890625 - 3784179687500*x - 43945312500000*x^2 - 317187500000000*x^3 - 1592500000000000*x^4 - 5896800000000000*x^5 - 16656640000000000*x^6 - 36608000000000000*x^7 - 63258624000000000*x^8 - 86219161600000000*x^9 - 92366962688000000*x^10 - 76947023462400000*x^11 - 48855252992000000*x^12 - 22849226014720000*x^13 - 7421703487488000*x^14 - 1495335813775360*x^15 - 140737488355328*x^16 + (732421875000*x^2 + 15859375000000*x^3 + 159250000000000*x^4 + 982800000000000*x^5 + 4164160000000000*x^6 + 12812800000000000*x^7 + 29520691200000000*x^8 + 51731496960000000*x^9 + 69275222016000000*x^10 + 70534771507200000*x^11 + 53740778291200000*x^12 + 29703993819136000*x^13 + 11256250289356800*x^14 + 2616837674106880*x^15 + 281474976710656*x^16)*Log[4] + (-1531250000000*x^4 - 28350000000000*x^5 - 240240000000000*x^6 - 1232000000000000*x^7 - 4257792000000000*x^8 - 10445783040000000*x^9 - 18651021312000000*x^10 - 24415882444800000*x^11 - 23253221376000000*x^12 - 15708842885120000*x^13 - 7143389606707200*x^14 - 1962628255580160*x^15 - 246290604621824*x^16)*Log[4]^2 + (1820000000000*x^6 + 28000000000000*x^7 + 193536000000000*x^8 + 791347200000000*x^9 + 2119434240000000*x^10 + 3884344934400000*x^11 + 4932501504000000*x^12 + 4284229877760000*x^13 + 2435246456832000*x^14 + 817761773158400*x^15 + 123145302310912*x^16)*Log[4]^3 + (-1344000000000*x^8 - 16486400000000*x^9 - 88309760000000*x^10 - 269746176000000*x^11 - 513802240000000*x^12 - 624783523840000*x^13 - 473520144384000*x^14 - 204440443289600*x^15 - 38482906972160*x^16)*Log[4]^4 + (630784000000*x^10 + 5780275200000*x^11 + 22020096000000*x^12 + 44627394560000*x^13 + 50734301184000*x^14 + 30666066493440*x^15 + 7696581394432*x^16)*Log[4]^5 + (-183500800000*x^12 - 1115684864000*x^13 - 2536715059200*x^14 - 2555505541120*x^15 - 962072674304*x^16)*Log[4]^6 + (30198988800*x^14 + 91268055040*x^15 + 68719476736*x^16)*Log[4]^7 - 2147483648*x^16*Log[4]^8)/(134217728*x^33),x]","\frac{\left(-16 x^2 (\log (4)-4)+80 x+25\right)^8}{4294967296 x^{32}}","\frac{\left(\left(\frac{5}{4 x}+2\right)^2-\log (4)\right)^8}{x^{16}}",1,"(25 + 80*x - 16*x^2*(-4 + Log[4]))^8/(4294967296*x^32)","A",1
6916,1,27,28,0.3172897,"\int \frac{100-25 x^2+7 x^4+\left(10 x^6-2 x^8\right) \log (x)+\left(25 x^6-3 x^8\right) \log ^2(x)}{25 x^2-10 x^4+x^6} \, dx","Integrate[(100 - 25*x^2 + 7*x^4 + (10*x^6 - 2*x^8)*Log[x] + (25*x^6 - 3*x^8)*Log[x]^2)/(25*x^2 - 10*x^4 + x^6),x]","\frac{x^6 \left(-\log ^2(x)\right)-7 x^2+20}{x \left(x^2-5\right)}","\frac{x^4 \log ^2(x)+3}{\frac{5}{x}-x}-\frac{4}{x}",1,"(20 - 7*x^2 - x^6*Log[x]^2)/(x*(-5 + x^2))","A",1
6917,1,24,23,0.4751793,"\int e^{9-5 x-3 x^2+2 x^3+x^4+x \log (x)} \left(-4-6 x+6 x^2+4 x^3+\log (x)\right) \, dx","Integrate[E^(9 - 5*x - 3*x^2 + 2*x^3 + x^4 + x*Log[x])*(-4 - 6*x + 6*x^2 + 4*x^3 + Log[x]),x]","e^{x^4+2 x^3-3 x^2-5 x+9} x^x","e^{\left(-x^2-x+2\right)^2-x+x \log (x)+5}",1,"E^(9 - 5*x - 3*x^2 + 2*x^3 + x^4)*x^x","A",1
6918,1,44,28,0.4367381,"\int \frac{e^{\frac{9-24 x+16 x^2}{4 e x^2}} (3-4 x)+e^{\frac{9-24 x+16 x^2}{2 e x^2}} (-3+4 x)}{e x^3} \, dx","Integrate[(E^((9 - 24*x + 16*x^2)/(4*E*x^2))*(3 - 4*x) + E^((9 - 24*x + 16*x^2)/(2*E*x^2))*(-3 + 4*x))/(E*x^3),x]","\frac{1}{3} e^{\frac{(3-4 x)^2}{4 e x^2}} \left(e^{\frac{(3-4 x)^2}{4 e x^2}}-2\right)","\frac{1}{3} \left(e^{\frac{\left(\frac{x-3}{x}+3\right)^2}{4 e}}-1\right)^2",1,"(E^((3 - 4*x)^2/(4*E*x^2))*(-2 + E^((3 - 4*x)^2/(4*E*x^2))))/3","A",1
6919,1,26,19,0.4338097,"\int \frac{e^{5 e^{5+x}}+e^{4 e^{5+x}} \left(7 x^2-4 e^{5+x} x^3\right)}{e^{5 e^{5+x}}-5 e^{4 e^{5+x}} x^2+10 e^{3 e^{5+x}} x^4-10 e^{2 e^{5+x}} x^6+5 e^{e^{5+x}} x^8-x^{10}} \, dx","Integrate[(E^(5*E^(5 + x)) + E^(4*E^(5 + x))*(7*x^2 - 4*E^(5 + x)*x^3))/(E^(5*E^(5 + x)) - 5*E^(4*E^(5 + x))*x^2 + 10*E^(3*E^(5 + x))*x^4 - 10*E^(2*E^(5 + x))*x^6 + 5*E^E^(5 + x)*x^8 - x^10),x]","\frac{e^{4 e^{x+5}} x}{\left(e^{e^{x+5}}-x^2\right)^4}","\frac{x}{\left(e^{-e^{x+5}} x^2-1\right)^4}",1,"(E^(4*E^(5 + x))*x)/(E^E^(5 + x) - x^2)^4","A",1
6920,1,32,25,0.1092385,"\int \frac{-72+e^{e^x} \left(e^{2+x} \left(468+444 x+144 x^2+16 x^3\right)+e^x \left(468+444 x+144 x^2+16 x^3\right) \log \left(\frac{39+24 x+4 x^2}{9+6 x+x^2}\right)\right)}{e^2 \left(117+111 x+36 x^2+4 x^3\right)+\left(117+111 x+36 x^2+4 x^3\right) \log \left(\frac{39+24 x+4 x^2}{9+6 x+x^2}\right)} \, dx","Integrate[(-72 + E^E^x*(E^(2 + x)*(468 + 444*x + 144*x^2 + 16*x^3) + E^x*(468 + 444*x + 144*x^2 + 16*x^3)*Log[(39 + 24*x + 4*x^2)/(9 + 6*x + x^2)]))/(E^2*(117 + 111*x + 36*x^2 + 4*x^3) + (117 + 111*x + 36*x^2 + 4*x^3)*Log[(39 + 24*x + 4*x^2)/(9 + 6*x + x^2)]),x]","4 \left(3 \log \left(\log \left(\frac{4 x^2+24 x+39}{(x+3)^2}\right)+e^2\right)+e^{e^x}\right)","4 \left(e^{e^x}+3 \log \left(\log \left(\frac{3}{(x+3)^2}+4\right)+e^2\right)\right)",1,"4*(E^E^x + 3*Log[E^2 + Log[(39 + 24*x + 4*x^2)/(3 + x)^2]])","A",1
6921,1,18,20,0.0084338,"\int \frac{2-x-2 e^x x-4 x^2}{2 x} \, dx","Integrate[(2 - x - 2*E^x*x - 4*x^2)/(2*x),x]","-x^2-\frac{x}{2}-e^x+\log (x)","\log \left(3 e^{-e^x} x\right)-x \left(x+\frac{1}{2}\right)",1,"-E^x - x/2 - x^2 + Log[x]","A",1
6922,1,26,30,0.0844271,"\int \frac{\left(-x+6 x^2-3 x^3\right) \log (2)+\left(-x+2 x^2-x^3\right) \log (2) \log (4)+\left(\left(1+3 x-3 x^2\right) \log (2)+\left(x-x^2\right) \log (2) \log (4)\right) \log (x)+\left(\left(x-x^2\right) \log (2)-x \log (2) \log (x)\right) \log \left(-x+x^2+x \log (x)\right)}{e^x \left(-2 x+2 x^2\right)+2 e^x x \log (x)} \, dx","Integrate[((-x + 6*x^2 - 3*x^3)*Log[2] + (-x + 2*x^2 - x^3)*Log[2]*Log[4] + ((1 + 3*x - 3*x^2)*Log[2] + (x - x^2)*Log[2]*Log[4])*Log[x] + ((x - x^2)*Log[2] - x*Log[2]*Log[x])*Log[-x + x^2 + x*Log[x]])/(E^x*(-2*x + 2*x^2) + 2*E^x*x*Log[x]),x]","\frac{1}{2} e^{-x} \log (2) (x (3+\log (4))+\log (x (x+\log (x)-1)))","\frac{1}{2} e^{-x} \log (2) \left(\log \left(x^2-x+x \log (x)\right)+x (3+\log (4))\right)",1,"(Log[2]*(x*(3 + Log[4]) + Log[x*(-1 + x + Log[x])]))/(2*E^x)","A",1
6923,1,31,27,0.2391273,"\int \frac{8 x^2 \log (4) \log (x)+\left(-8 e^{e^5}-2 x^2 \log (4)\right) \log (\log (x))+2 x^2 \log (4) \log (x) \log ^2(\log (x))}{16 e^{e^5} x \log (x)+8 e^{e^5} x \log (x) \log ^2(\log (x))+e^{e^5} x \log (x) \log ^4(\log (x))} \, dx","Integrate[(8*x^2*Log[4]*Log[x] + (-8*E^E^5 - 2*x^2*Log[4])*Log[Log[x]] + 2*x^2*Log[4]*Log[x]*Log[Log[x]]^2)/(16*E^E^5*x*Log[x] + 8*E^E^5*x*Log[x]*Log[Log[x]]^2 + E^E^5*x*Log[x]*Log[Log[x]]^4),x]","\frac{e^{-e^5} \left(x^2 \log (4)+4 e^{e^5}\right)}{\log ^2(\log (x))+4}","\frac{e^{-e^5} x^2 \log (4)+4}{\log ^2(\log (x))+4}+3",1,"(4*E^E^5 + x^2*Log[4])/(E^E^5*(4 + Log[Log[x]]^2))","A",1
6924,1,16,17,0.0014964,"\int \frac{390625+781250 x+12 x^{11} \log ^4(9)}{390625} \, dx","Integrate[(390625 + 781250*x + 12*x^11*Log[9]^4)/390625,x]","\frac{x^{12} \log ^4(9)}{390625}+x^2+x","\frac{x^{12} \log ^4(9)}{390625}+x^2+x+1",1,"x + x^2 + (x^12*Log[9]^4)/390625","A",1
6925,1,29,32,0.0655531,"\int \frac{1}{15} \left(90 x+75 x^2+e^{\frac{-10+x^2}{5 x}} \left(10 x^2+20 x^3+x^4\right)\right) \, dx","Integrate[(90*x + 75*x^2 + E^((-10 + x^2)/(5*x))*(10*x^2 + 20*x^3 + x^4))/15,x]","\frac{1}{3} x^2 \left(e^{\frac{x}{5}-\frac{2}{x}} x^2+5 x+9\right)","x^2 \left(\frac{1}{3} \left(e^{\frac{x}{5}-\frac{2}{x}}+\frac{5}{x}\right) x^2+3\right)",1,"(x^2*(9 + 5*x + E^(-2/x + x/5)*x^2))/3","A",1
6926,1,19,21,1.2647509,"\int \frac{e^{-x+x^{\frac{e^3+4 x}{x}}} \left(x^2+x^{\frac{e^3+4 x}{x}} \left(-e^3-4 x+e^3 \log (x)\right)\right)}{x^2} \, dx","Integrate[(E^(-x + x^((E^3 + 4*x)/x))*(x^2 + x^((E^3 + 4*x)/x)*(-E^3 - 4*x + E^3*Log[x])))/x^2,x]","-e^{x^{\frac{e^3}{x}+4}-x}","-e^{x^{\frac{4 x+e^3}{x}}-x}",1,"-E^(-x + x^(4 + E^3/x))","A",1
6927,1,18,19,0.0076997,"\int \frac{12-12 x^2}{e \left(16-1160 x+21057 x^2-1160 x^3+16 x^4\right)} \, dx","Integrate[(12 - 12*x^2)/(E*(16 - 1160*x + 21057*x^2 - 1160*x^3 + 16*x^4)),x]","\frac{3 x}{e \left(4 x^2-145 x+4\right)}","\frac{3 x}{e (4 (x-36) x-x+4)}",1,"(3*x)/(E*(4 - 145*x + 4*x^2))","A",1
6928,1,25,28,0.3019623,"\int \exp \left(-x+\frac{e^{-x} \left(-40 x-8 e x+e^x \left(e^5+20 x^2+4 e x^2\right)\right)}{5+e}\right) \left(-8+8 x+8 e^x x\right) \, dx","Integrate[E^(-x + (-40*x - 8*E*x + E^x*(E^5 + 20*x^2 + 4*E*x^2))/(E^x*(5 + E)))*(-8 + 8*x + 8*E^x*x),x]","e^{4 x^2-8 e^{-x} x+\frac{e^5}{5+e}}","e^{4 x^2-8 e^{-x} x-\frac{e^5}{-5-e}}",1,"E^(E^5/(5 + E) - (8*x)/E^x + 4*x^2)","A",1
6929,1,20,20,0.1825078,"\int \frac{-24+546 x^2+3380 x^4+\left(-1+47 x^2+260 x^4\right) \log \left(\frac{1+5 x^2}{x^2}\right)+\left(x^2+5 x^4\right) \log ^2\left(\frac{1+5 x^2}{x^2}\right)}{e^4 \left(676 x^2+3380 x^4\right)+e^4 \left(52 x^2+260 x^4\right) \log \left(\frac{1+5 x^2}{x^2}\right)+e^4 \left(x^2+5 x^4\right) \log ^2\left(\frac{1+5 x^2}{x^2}\right)} \, dx","Integrate[(-24 + 546*x^2 + 3380*x^4 + (-1 + 47*x^2 + 260*x^4)*Log[(1 + 5*x^2)/x^2] + (x^2 + 5*x^4)*Log[(1 + 5*x^2)/x^2]^2)/(E^4*(676*x^2 + 3380*x^4) + E^4*(52*x^2 + 260*x^4)*Log[(1 + 5*x^2)/x^2] + E^4*(x^2 + 5*x^4)*Log[(1 + 5*x^2)/x^2]^2),x]","\frac{\frac{1}{x \left(\log \left(\frac{1}{x^2}+5\right)+26\right)}+x}{e^4}","\frac{\frac{1}{x \left(\log \left(\frac{1}{x^2}+5\right)+25\right)+x}+x}{e^4}",1,"(x + 1/(x*(26 + Log[5 + x^(-2)])))/E^4","A",1
6930,1,22,23,0.0784871,"\int \frac{-80 x+e^{4 x^2} \left(-40 x-160 x^3-160 x^5\right)}{1+2 x^2+x^4} \, dx","Integrate[(-80*x + E^(4*x^2)*(-40*x - 160*x^3 - 160*x^5))/(1 + 2*x^2 + x^4),x]","-\frac{20 \left(e^{4 x^2} x^2-2\right)}{x^2+1}","\frac{20 \left(e^{4 x^2}+2\right) x}{-x-\frac{1}{x}}",1,"(-20*(-2 + E^(4*x^2)*x^2))/(1 + x^2)","A",1
6931,1,36,30,0.0443833,"\int \frac{21600+76375 x-23350 x^2+\left(-15000-61000 x+19400 x^2\right) \log (x)+\left(3600+18500 x-6200 x^2\right) \log ^2(x)+\left(-300-2500 x+900 x^2\right) \log ^3(x)+\left(125 x-50 x^2\right) \log ^4(x)}{312987 x-558144 x \log (x)+442632 x \log ^2(x)-203808 x \log ^3(x)+59586 x \log ^4(x)-11328 x \log ^5(x)+1368 x \log ^6(x)-96 x \log ^7(x)+3 x \log ^8(x)} \, dx","Integrate[(21600 + 76375*x - 23350*x^2 + (-15000 - 61000*x + 19400*x^2)*Log[x] + (3600 + 18500*x - 6200*x^2)*Log[x]^2 + (-300 - 2500*x + 900*x^2)*Log[x]^3 + (125*x - 50*x^2)*Log[x]^4)/(312987*x - 558144*x*Log[x] + 442632*x*Log[x]^2 - 203808*x*Log[x]^3 + 59586*x*Log[x]^4 - 11328*x*Log[x]^5 + 1368*x*Log[x]^6 - 96*x*Log[x]^7 + 3*x*Log[x]^8),x]","-\frac{25 \left(x^2-5 x-3\right)}{3 \left(\log ^4(x)-16 \log ^3(x)+100 \log ^2(x)-288 \log (x)+323\right)}","\frac{25 \left(\frac{1}{3} (5-x) x+1\right)}{\left((4-\log (x))^2+2\right)^2-1}",1,"(-25*(-3 - 5*x + x^2))/(3*(323 - 288*Log[x] + 100*Log[x]^2 - 16*Log[x]^3 + Log[x]^4))","A",1
6932,1,12,12,0.0043263,"\int 250 e^{-1+\frac{25 x^2}{e}} x \, dx","Integrate[250*E^(-1 + (25*x^2)/E)*x,x]","5 e^{\frac{25 x^2}{e}}","5 e^{\frac{25 x^2}{e}}",1,"5*E^((25*x^2)/E)","A",1
6933,1,24,26,0.038788,"\int \frac{-7200 x+e^{2 x} \left(125000+30000 x+2400 x^2+64 x^3\right)}{15625+3750 x+300 x^2+8 x^3} \, dx","Integrate[(-7200*x + E^(2*x)*(125000 + 30000*x + 2400*x^2 + 64*x^3))/(15625 + 3750*x + 300*x^2 + 8*x^3),x]","8 \left(\frac{e^{2 x}}{2}-\frac{18 x^2}{(2 x+25)^2}\right)","4 e^{2 x}-\frac{16 x^2}{\left(\frac{25-x}{3}+x\right)^2}",1,"8*(E^(2*x)/2 - (18*x^2)/(25 + 2*x)^2)","A",1
6934,1,23,27,0.4802265,"\int \frac{-35 x+15 x^2-35 x \log (x)+e^{\frac{e^{e^6}}{x}} \left(-5 x+\left(-5 e^{e^6}-5 x\right) \log (x)\right)}{49 x+e^{\frac{2 e^{e^6}}{x}} x-42 x^2+9 x^3+e^{\frac{e^{e^6}}{x}} \left(14 x-6 x^2\right)} \, dx","Integrate[(-35*x + 15*x^2 - 35*x*Log[x] + E^(E^E^6/x)*(-5*x + (-5*E^E^6 - 5*x)*Log[x]))/(49*x + E^((2*E^E^6)/x)*x - 42*x^2 + 9*x^3 + E^(E^E^6/x)*(14*x - 6*x^2)),x]","-\frac{5 x \log (x)}{-3 x+e^{\frac{e^{e^6}}{x}}+7}","\frac{5 x \log (x)}{3 (x-4)-e^{\frac{e^{e^6}}{x}}+5}",1,"(-5*x*Log[x])/(7 + E^(E^E^6/x) - 3*x)","A",1
6935,1,13,21,0.0017126,"\int \frac{21474836480 e-5 x}{4294967296 x^2} \, dx","Integrate[(21474836480*E - 5*x)/(4294967296*x^2),x]","-\frac{5 e}{x}-\frac{5 \log (x)}{4294967296}","\frac{5 \left(x+\frac{x (7-\log (x))}{4294967296}-e\right)}{x}",1,"(-5*E)/x - (5*Log[x])/4294967296","A",1
6936,1,14,25,0.1063089,"\int \frac{12+5 x-24 x^2-x^3+x \log (x)}{5 x-x^3+x \log (x)} \, dx","Integrate[(12 + 5*x - 24*x^2 - x^3 + x*Log[x])/(5*x - x^3 + x*Log[x]),x]","12 \log \left(-x^2+\log (x)+5\right)+x","6 \left(\log \left(\left(-x^2+\log (x)+5\right)^2\right)+e^5+4\right)+x+e^5+3",1,"x + 12*Log[5 - x^2 + Log[x]]","A",1
6937,1,16,17,0.0025777,"\int \frac{1}{5} \left(255+5 e^5+4 e^x\right) \, dx","Integrate[(255 + 5*E^5 + 4*E^x)/5,x]","e^5 x+51 x+\frac{4 e^x}{5}","\left(\frac{4 e^x}{5 x}+e^5+51\right) x",1,"(4*E^x)/5 + 51*x + E^5*x","A",1
6938,1,19,18,0.3723609,"\int \frac{-14+6 e^{2 x}+e^x (7+x)+\left(-2+e^x+e^{2 x}\right) \log \left(2+e^x\right)}{e^{3 x}+e^{2 x} (2-2 x)+2 x^2+e^x \left(-4 x+x^2\right)} \, dx","Integrate[(-14 + 6*E^(2*x) + E^x*(7 + x) + (-2 + E^x + E^(2*x))*Log[2 + E^x])/(E^(3*x) + E^(2*x)*(2 - 2*x) + 2*x^2 + E^x*(-4*x + x^2)),x]","-\frac{\log \left(e^x+2\right)+7}{e^x-x}","\frac{\log \left(e^x+2\right)+7}{x-e^x}",1,"-((7 + Log[2 + E^x])/(E^x - x))","A",1
6939,1,49,28,0.3551064,"\int \frac{64+\left(-240 x+48 x^2\right) \log ^2(10)+\left(300 x^2-120 x^3+12 x^4\right) \log ^4(10)+\left(-125 x^3+75 x^4-15 x^5+x^6\right) \log ^6(10)+\exp \left(\frac{-336+\left(640 x-128 x^2\right) \log ^2(10)+\left(-300 x^2+120 x^3-12 x^4\right) \log ^4(10)}{16+\left(-40 x+8 x^2\right) \log ^2(10)+\left(25 x^2-10 x^3+x^4\right) \log ^4(10)}\right) \left(\left(-800 x+320 x^2\right) \log ^2(10)+\left(800 x^2-480 x^3+64 x^4\right) \log ^4(10)\right)}{64 x+\left(-240 x^2+48 x^3\right) \log ^2(10)+\left(300 x^3-120 x^4+12 x^5\right) \log ^4(10)+\left(-125 x^4+75 x^5-15 x^6+x^7\right) \log ^6(10)} \, dx","Integrate[(64 + (-240*x + 48*x^2)*Log[10]^2 + (300*x^2 - 120*x^3 + 12*x^4)*Log[10]^4 + (-125*x^3 + 75*x^4 - 15*x^5 + x^6)*Log[10]^6 + E^((-336 + (640*x - 128*x^2)*Log[10]^2 + (-300*x^2 + 120*x^3 - 12*x^4)*Log[10]^4)/(16 + (-40*x + 8*x^2)*Log[10]^2 + (25*x^2 - 10*x^3 + x^4)*Log[10]^4))*((-800*x + 320*x^2)*Log[10]^2 + (800*x^2 - 480*x^3 + 64*x^4)*Log[10]^4))/(64*x + (-240*x^2 + 48*x^3)*Log[10]^2 + (300*x^3 - 120*x^4 + 12*x^5)*Log[10]^4 + (-125*x^4 + 75*x^5 - 15*x^6 + x^7)*Log[10]^6),x]","\exp \left(-\frac{32}{x^2 \log ^2(10)-5 x \log ^2(10)+4}-\frac{16}{\left(x^2 \log ^2(10)-5 x \log ^2(10)+4\right)^2}-12\right)+\log (x)","e^{4-\left(\frac{4}{(x-5) x \log ^2(10)+4}+4\right)^2}+\log (x)",1,"E^(-12 - 16/(4 - 5*x*Log[10]^2 + x^2*Log[10]^2)^2 - 32/(4 - 5*x*Log[10]^2 + x^2*Log[10]^2)) + Log[x]","A",1
6940,1,31,29,0.0198442,"\int \frac{-900+2370 x-1836 x^2+541 x^3-165 x^4+97 x^5+4 x^7}{900 x-1440 x^2+516 x^3-72 x^4+97 x^5+4 x^6+4 x^7} \, dx","Integrate[(-900 + 2370*x - 1836*x^2 + 541*x^3 - 165*x^4 + 97*x^5 + 4*x^7)/(900*x - 1440*x^2 + 516*x^3 - 72*x^4 + 97*x^5 + 4*x^6 + 4*x^7),x]","\frac{-2 x^2-x}{2 x^3+x^2+24 x-30}+x-\log (x)","x-\frac{1}{x-\frac{6 (5-4 x)}{x (2 x+1)}}-\log (x)",1,"x + (-x - 2*x^2)/(-30 + 24*x + x^2 + 2*x^3) - Log[x]","A",1
6941,1,30,31,0.5178565,"\int \frac{-25 x+50 x \log (x)+e^{e^{2 x}-x} \left(1-2 e^{2 x}\right) \log ^2(x)+2 x \log ^2(x)}{3 \log ^2(x)} \, dx","Integrate[(-25*x + 50*x*Log[x] + E^(E^(2*x) - x)*(1 - 2*E^(2*x))*Log[x]^2 + 2*x*Log[x]^2)/(3*Log[x]^2),x]","\frac{1}{3} \left(x^2+\frac{25 x^2}{\log (x)}-e^{e^{2 x}-x}\right)","\frac{1}{3} \left(x^2+\frac{25 x^2}{\log (x)}-e^{e^{2 x}-x}+4\right)",1,"(-E^(E^(2*x) - x) + x^2 + (25*x^2)/Log[x])/3","A",1
6942,1,31,32,0.0366674,"\int \frac{5-60 x+268 x^2+536 x^3+363 x^4+108 x^5+12 x^6+\left(-8 x^2+120 x^3+108 x^4+24 x^5\right) \log (x)+12 x^4 \log ^2(x)}{1-20 x+82 x^2+176 x^3+121 x^4+36 x^5+4 x^6+\left(-4 x^2+40 x^3+36 x^4+8 x^5\right) \log (x)+4 x^4 \log ^2(x)} \, dx","Integrate[(5 - 60*x + 268*x^2 + 536*x^3 + 363*x^4 + 108*x^5 + 12*x^6 + (-8*x^2 + 120*x^3 + 108*x^4 + 24*x^5)*Log[x] + 12*x^4*Log[x]^2)/(1 - 20*x + 82*x^2 + 176*x^3 + 121*x^4 + 36*x^5 + 4*x^6 + (-4*x^2 + 40*x^3 + 36*x^4 + 8*x^5)*Log[x] + 4*x^4*Log[x]^2),x]","3 x-\frac{2 x}{2 x^3+9 x^2+2 x^2 \log (x)+10 x-1}","x \left(5-\frac{2 x}{x+\frac{2}{2 x-4 x \left(x+\frac{5}{x}+\log (x)+5\right)}}\right)",1,"3*x - (2*x)/(-1 + 10*x + 9*x^2 + 2*x^3 + 2*x^2*Log[x])","A",1
6943,1,16,26,0.0067263,"\int \frac{e^{4+2 x} (-4+8 x)}{x^2 \log (3)} \, dx","Integrate[(E^(4 + 2*x)*(-4 + 8*x))/(x^2*Log[3]),x]","\frac{4 e^{2 x+4}}{x \log (3)}","\frac{4 e^4 \left(\frac{e^{2 x}}{x}+1\right)}{\log (3)}-e^4",1,"(4*E^(4 + 2*x))/(x*Log[3])","A",1
6944,1,33,23,0.0019917,"\int \left(-e^{10}+8 e^5 x^3-7 x^6+e^4 (-3+2 x)\right) \, dx","Integrate[-E^10 + 8*E^5*x^3 - 7*x^6 + E^4*(-3 + 2*x),x]","-x^7+2 e^5 x^4+e^4 x^2-e^{10} x-3 e^4 x","x \left(e^4 (x-3)-\left(x^3-e^5\right)^2\right)",1,"-3*E^4*x - E^10*x + E^4*x^2 + 2*E^5*x^4 - x^7","A",1
6945,1,32,32,0.6939199,"\int \frac{-2125 x^2+11750 x^3-13125 x^4-9000 x^5+e^{\frac{x}{-1+3 x}} \left(75-375 x+575 x^2\right)}{5625 x^2-46500 x^3+131350 x^4-136700 x^5+18025 x^6+28200 x^7+3600 x^8+e^{\frac{2 x}{-1+3 x}} \left(9-78 x+241 x^2-312 x^3+144 x^4\right)+e^{\frac{x}{-1+3 x}} \left(-450 x+3810 x^2-11270 x^3+13190 x^4-4080 x^5-1440 x^6\right)} \, dx","Integrate[(-2125*x^2 + 11750*x^3 - 13125*x^4 - 9000*x^5 + E^(x/(-1 + 3*x))*(75 - 375*x + 575*x^2))/(5625*x^2 - 46500*x^3 + 131350*x^4 - 136700*x^5 + 18025*x^6 + 28200*x^7 + 3600*x^8 + E^((2*x)/(-1 + 3*x))*(9 - 78*x + 241*x^2 - 312*x^3 + 144*x^4) + E^(x/(-1 + 3*x))*(-450*x + 3810*x^2 - 11270*x^3 + 13190*x^4 - 4080*x^5 - 1440*x^6)),x]","\frac{25 x}{(4 x-3) \left(5 x (x+5)-e^{\frac{x}{3 x-1}}\right)}","\frac{5}{\left(x-\frac{e^{\frac{x}{3 x-1}}}{5 x}+5\right) (4 x-3)}",1,"(25*x)/((-3 + 4*x)*(-E^(x/(-1 + 3*x)) + 5*x*(5 + x)))","A",1
6946,1,25,24,0.2868331,"\int \frac{3 e^{e^2} x^2+e^{2 e^{-e^2} x} \left(e^{e^2} x^3-4 x^4\right)}{25 e^{e^2}+75 e^{e^2+2 e^{-e^2} x} x+75 e^{e^2+4 e^{-e^2} x} x^2+25 e^{e^2+6 e^{-e^2} x} x^3} \, dx","Integrate[(3*E^E^2*x^2 + E^((2*x)/E^E^2)*(E^E^2*x^3 - 4*x^4))/(25*E^E^2 + 75*E^(E^2 + (2*x)/E^E^2)*x + 75*E^(E^2 + (4*x)/E^E^2)*x^2 + 25*E^(E^2 + (6*x)/E^E^2)*x^3),x]","\frac{x^3}{25 \left(e^{2 e^{-e^2} x} x+1\right)^2}","\frac{x}{\left(5 e^{2 e^{-e^2} x}+\frac{5}{x}\right)^2}",1,"x^3/(25*(1 + E^((2*x)/E^E^2)*x)^2)","A",1
6947,1,41,28,0.0692003,"\int \frac{-108-80 x+108 x^2+48 x^3-15 x^4-6 x^5+e^x \left(-108-108 x+108 x^2+36 x^3-15 x^4-3 x^5\right)}{11664 x^2+8640 x^3-6176 x^4-5472 x^5+984 x^6+1320 x^7+8 x^8-144 x^9-15 x^{10}+6 x^{11}+x^{12}+e^{2 x} \left(11664 x^2-7776 x^4+1944 x^6-216 x^8+9 x^{10}\right)+e^x \left(23328 x^2+8640 x^3-15552 x^4-5472 x^5+3888 x^6+1320 x^7-432 x^8-144 x^9+18 x^{10}+6 x^{11}\right)} \, dx","Integrate[(-108 - 80*x + 108*x^2 + 48*x^3 - 15*x^4 - 6*x^5 + E^x*(-108 - 108*x + 108*x^2 + 36*x^3 - 15*x^4 - 3*x^5))/(11664*x^2 + 8640*x^3 - 6176*x^4 - 5472*x^5 + 984*x^6 + 1320*x^7 + 8*x^8 - 144*x^9 - 15*x^10 + 6*x^11 + x^12 + E^(2*x)*(11664*x^2 - 7776*x^4 + 1944*x^6 - 216*x^8 + 9*x^10) + E^x*(23328*x^2 + 8640*x^3 - 15552*x^4 - 5472*x^5 + 3888*x^6 + 1320*x^7 - 432*x^8 - 144*x^9 + 18*x^10 + 6*x^11)),x]","\frac{1}{x \left(x^5+3 x^4-12 x^3-36 x^2+3 e^x \left(x^2-6\right)^2+40 x+108\right)}","\frac{1}{x \left(\left(x+3 e^x+3\right) \left(6-x^2\right)^2+4 x\right)}",1,"1/(x*(108 + 40*x - 36*x^2 - 12*x^3 + 3*x^4 + x^5 + 3*E^x*(-6 + x^2)^2))","A",1
6948,1,46,25,0.0659495,"\int \frac{-324+72 x^2-18 x^3-3 x^5-48 e^{2 x} x^5+2 x^6+e^x \left(36 x^2-18 x^3+2 x^5-2 x^6\right)}{x^5} \, dx","Integrate[(-324 + 72*x^2 - 18*x^3 - 3*x^5 - 48*E^(2*x)*x^5 + 2*x^6 + E^x*(36*x^2 - 18*x^3 + 2*x^5 - 2*x^6))/x^5,x]","\frac{81}{x^4}+x^2-\frac{18 \left(e^x+2\right)}{x^2}-\left(2 e^x+3\right) x-4 e^x \left(6 e^x-1\right)+\frac{18}{x}","\left(-\frac{9}{x^2}-x+e^x+2\right)^2-25 e^{2 x}+x+2",1,"-4*E^x*(-1 + 6*E^x) + 81/x^4 - (18*(2 + E^x))/x^2 + 18/x - (3 + 2*E^x)*x + x^2","A",1
6949,1,40,25,0.3046774,"\int e^{-1-x} \left(-5+5 x+9 e^{1+x} x^2+e^{1+3 x+2 x^2} \left(3+6 x+12 x^2\right)+e^{1+2 x+x^2} \left(12 x+6 x^2+12 x^3\right)\right) \, dx","Integrate[E^(-1 - x)*(-5 + 5*x + 9*E^(1 + x)*x^2 + E^(1 + 3*x + 2*x^2)*(3 + 6*x + 12*x^2) + E^(1 + 2*x + x^2)*(12*x + 6*x^2 + 12*x^3)),x]","3 x^3+6 e^{x (x+1)} x^2-5 e^{-x-1} x+3 e^{2 x (x+1)} x+3","x \left(3 \left(e^{x^2+x}+x\right)^2-5 e^{-x-1}\right)",1,"3 - 5*E^(-1 - x)*x + 3*E^(2*x*(1 + x))*x + 6*E^(x*(1 + x))*x^2 + 3*x^3","A",1
6950,1,34,30,0.1877865,"\int \frac{16-8 x^3+e \left(-64+16 x+4 x^2+32 x^3-8 x^4\right)+\left(4-2 x^3+e \left(-16+4 x+x^2+8 x^3-2 x^4\right)\right) \log ^2(5)+e^x \left(e \left(-16-4 x^2+8 x^3\right)+e \left(-4-x^2+2 x^3\right) \log ^2(5)\right)}{-x^2+e^{1+x} x^2+e \left(4 x^2-x^3\right)} \, dx","Integrate[(16 - 8*x^3 + E*(-64 + 16*x + 4*x^2 + 32*x^3 - 8*x^4) + (4 - 2*x^3 + E*(-16 + 4*x + x^2 + 8*x^3 - 2*x^4))*Log[5]^2 + E^x*(E*(-16 - 4*x^2 + 8*x^3) + E*(-4 - x^2 + 2*x^3)*Log[5]^2))/(-x^2 + E^(1 + x)*x^2 + E*(4*x^2 - x^3)),x]","\left(4+\log ^2(5)\right) \left(x^2+\frac{4}{x}-\log \left(e x-e^{x+1}-4 e+1\right)\right)","\left(4+\log ^2(5)\right) \left(x^2+\frac{4}{x}-\log \left(x-e^x+\frac{1}{e}-4\right)\right)",1,"(4 + Log[5]^2)*(4/x + x^2 - Log[1 - 4*E - E^(1 + x) + E*x])","A",1
6951,1,14,23,0.0008268,"\int \frac{1}{2} \left(3+2 e^5+6 x^2\right) \, dx","Integrate[(3 + 2*E^5 + 6*x^2)/2,x]","x^3+e^5 x+\frac{3 x}{2}","x^3+e^5 x+x+\frac{1}{4} (2 x+1)-e-6",1,"(3*x)/2 + E^5*x + x^3","A",1
6952,1,48,25,0.0098983,"\int \frac{1}{3} \left(-9+e^4 \left(-24-8 e^2\right)+78 x+24 e^2 x+\left(72+24 e^2\right) \log (x)+\left(36+12 e^2\right) \log ^2(x)\right) \, dx","Integrate[(-9 + E^4*(-24 - 8*E^2) + 78*x + 24*E^2*x + (72 + 24*E^2)*Log[x] + (36 + 12*E^2)*Log[x]^2)/3,x]","4 e^2 x^2+13 x^2-\frac{8 e^6 x}{3}-8 e^4 x-3 x+4 e^2 x \log ^2(x)+12 x \log ^2(x)","x \left(x+4 \left(3+e^2\right) \left(x+\log ^2(x)-\frac{2 e^4}{3}\right)-3\right)",1,"-3*x - 8*E^4*x - (8*E^6*x)/3 + 13*x^2 + 4*E^2*x^2 + 12*x*Log[x]^2 + 4*E^2*x*Log[x]^2","A",1
6953,1,54,24,0.0253492,"\int \frac{12 x^2+3 e^2 x^2-10 x^3+4 x^4+e^3 \left(8 x+2 e^2 x-5 x^2\right)}{16+e^4-40 x+57 x^2-40 x^3+16 x^4+e^2 \left(8-10 x+8 x^2\right)} \, dx","Integrate[(12*x^2 + 3*E^2*x^2 - 10*x^3 + 4*x^4 + E^3*(8*x + 2*E^2*x - 5*x^2))/(16 + E^4 - 40*x + 57*x^2 - 40*x^3 + 16*x^4 + E^2*(8 - 10*x + 8*x^2)),x]","\frac{16 x^3-20 x^2+25 x+4 e^3 (5 x-4)-4 e^5-5 e^2-20}{16 \left(4 x^2-5 x+e^2+4\right)}","\frac{x^2 \left(x+e^3\right)}{4 x^2-5 x+e^2+4}",1,"(-20 - 5*E^2 - 4*E^5 + 25*x - 20*x^2 + 16*x^3 + 4*E^3*(-4 + 5*x))/(16*(4 + E^2 - 5*x + 4*x^2))","B",1
6954,1,19,19,0.149326,"\int \frac{\left(2 x^3+4 x^2 \log (4)+2 x \log ^2(4)\right) \log (\log (x) \log (\log (4)))+\left(4 x^3+6 x^2 \log (4)+2 x \log ^2(4)\right) \log (x) \log ^2(\log (x) \log (\log (4)))}{\log (x)} \, dx","Integrate[((2*x^3 + 4*x^2*Log[4] + 2*x*Log[4]^2)*Log[Log[x]*Log[Log[4]]] + (4*x^3 + 6*x^2*Log[4] + 2*x*Log[4]^2)*Log[x]*Log[Log[x]*Log[Log[4]]]^2)/Log[x],x]","x^2 (x+\log (4))^2 \log ^2(\log (\log (4)) \log (x))","x^2 (x+\log (4))^2 \log ^2(\log (\log (4)) \log (x))",1,"x^2*(x + Log[4])^2*Log[Log[x]*Log[Log[4]]]^2","A",1
6955,1,14,14,0.0196764,"\int -\frac{2}{\left(-e^4+5 e^{16}-x\right) \log \left(e^4-5 e^{16}+x\right)} \, dx","Integrate[-2/((-E^4 + 5*E^16 - x)*Log[E^4 - 5*E^16 + x]),x]","2 \log \left(\log \left(x-5 e^{16}+e^4\right)\right)","\log \left(\log ^2\left(x-5 e^{16}+e^4\right)\right)",1,"2*Log[Log[E^4 - 5*E^16 + x]]","A",1
6956,1,14,22,0.0701633,"\int \frac{\left(4+4 x+4 e^x x\right) \log ^3\left(5+e^x+x+\log (x)\right)}{20 x+4 e^x x+4 x^2+4 x \log (x)+\left(5 x+e^x x+x^2+x \log (x)\right) \log ^4\left(5+e^x+x+\log (x)\right)} \, dx","Integrate[((4 + 4*x + 4*E^x*x)*Log[5 + E^x + x + Log[x]]^3)/(20*x + 4*E^x*x + 4*x^2 + 4*x*Log[x] + (5*x + E^x*x + x^2 + x*Log[x])*Log[5 + E^x + x + Log[x]]^4),x]","\log \left(\log ^4\left(x+e^x+\log (x)+5\right)+4\right)","\log \left(\frac{1}{2} \left(2-\log ^4\left(x+e^x+\log (x)+5\right)\right)-3\right)",1,"Log[4 + Log[5 + E^x + x + Log[x]]^4]","A",1
6957,1,47,29,0.1437408,"\int \frac{-2 x^2-4 x^3+x^4+\left(8 x+18 x^2-x^4\right) \log (4+x)+\left(-8 x-18 x^2+x^4\right) \log ^2(4+x)+\left(\left(-8 x-2 x^2-4 x^3-x^4\right) \log (4+x)+\left(-8+6 x-2 x^2+3 x^3+x^4\right) \log ^2(4+x)\right) \log \left(\frac{2 x+(2-2 x) \log (4+x)}{\log (4+x)}\right)}{\left(-4 x^3-x^4\right) \log (4+x)+\left(-4 x^2+3 x^3+x^4\right) \log ^2(4+x)} \, dx","Integrate[(-2*x^2 - 4*x^3 + x^4 + (8*x + 18*x^2 - x^4)*Log[4 + x] + (-8*x - 18*x^2 + x^4)*Log[4 + x]^2 + ((-8*x - 2*x^2 - 4*x^3 - x^4)*Log[4 + x] + (-8 + 6*x - 2*x^2 + 3*x^3 + x^4)*Log[4 + x]^2)*Log[(2*x + (2 - 2*x)*Log[4 + x])/Log[4 + x]])/((-4*x^3 - x^4)*Log[4 + x] + (-4*x^2 + 3*x^3 + x^4)*Log[4 + x]^2),x]","\left(x-\frac{2}{x}\right) \log \left(-2 x+\frac{2 x}{\log (x+4)}+2\right)+4 (\log (\log (x+4))-\log ((x-1) \log (x+4)-x))","\frac{((x-4) x-2) \log \left(2 \left(-x+\frac{x}{\log (x+4)}+1\right)\right)}{x}-4",1,"(-2/x + x)*Log[2 - 2*x + (2*x)/Log[4 + x]] + 4*(Log[Log[4 + x]] - Log[-x + (-1 + x)*Log[4 + x]])","A",1
6958,1,23,16,0.0039627,"\int \frac{-1-4 x+8 x^2+\left(-4 x+16 x^2\right) \log (x)}{9 x} \, dx","Integrate[(-1 - 4*x + 8*x^2 + (-4*x + 16*x^2)*Log[x])/(9*x),x]","\frac{8}{9} x^2 \log (x)-\frac{4}{9} x \log (x)-\frac{\log (x)}{9}","\frac{1}{9} (4 x (2 x-1)-1) \log (x)",1,"-1/9*Log[x] - (4*x*Log[x])/9 + (8*x^2*Log[x])/9","A",1
6959,1,31,30,0.0779586,"\int \frac{\left(-2+16 e^{\frac{1}{5} (5-2 x)} x-2 x \log (x)\right) \log \left(\frac{1}{4} \left(-1+20 e^{\frac{1}{5} (5-2 x)}-x+(1+x) \log (x)\right)\right)}{-x+20 e^{\frac{1}{5} (5-2 x)} x-x^2+\left(x+x^2\right) \log (x)} \, dx","Integrate[((-2 + 16*E^((5 - 2*x)/5)*x - 2*x*Log[x])*Log[(-1 + 20*E^((5 - 2*x)/5) - x + (1 + x)*Log[x])/4])/(-x + 20*E^((5 - 2*x)/5)*x - x^2 + (x + x^2)*Log[x]),x]","-\log ^2\left(\frac{1}{4} \left(-x+20 e^{1-\frac{2 x}{5}}+(x+1) \log (x)-1\right)\right)","5-\log ^2\left(5 e^{1-\frac{2 x}{5}}+\frac{1}{4} (x+1) (\log (x)-1)\right)",1,"-Log[(-1 + 20*E^(1 - (2*x)/5) - x + (1 + x)*Log[x])/4]^2","A",1
6960,1,19,18,0.1226227,"\int \left(-1+e^{6 e^{3 x+3 x^2}+3 x+3 x^2} (18+36 x)\right) \, dx","Integrate[-1 + E^(6*E^(3*x + 3*x^2) + 3*x + 3*x^2)*(18 + 36*x),x]","e^{6 e^{3 x^2+3 x}}-x","-x+e^{6 e^{x (3 x+3)}}+4",1,"E^(6*E^(3*x + 3*x^2)) - x","A",1
6961,1,429,25,0.5985448,"\int \left(e^{5 x^3} \left(32-1920 x^2+480 x^3\right)+e^{10 x^3} \left(-128+32 x+7680 x^2-3840 x^3+480 x^4\right)+\left(64 x+e^{5 x^3} \left(-256 x+64 x^2\right)\right) \log (x)+\left(64 x+e^{5 x^3} \left(-256 x+96 x^2-1920 x^4+480 x^5\right)\right) \log ^2(x)+64 x^3 \log ^3(x)+64 x^3 \log ^4(x)\right) \, dx","Integrate[E^(5*x^3)*(32 - 1920*x^2 + 480*x^3) + E^(10*x^3)*(-128 + 32*x + 7680*x^2 - 3840*x^3 + 480*x^4) + (64*x + E^(5*x^3)*(-256*x + 64*x^2))*Log[x] + (64*x + E^(5*x^3)*(-256*x + 96*x^2 - 1920*x^4 + 480*x^5))*Log[x]^2 + 64*x^3*Log[x]^3 + 64*x^3*Log[x]^4,x]","\frac{8 \left(-288 x^7 \, _3F_3\left(\frac{5}{3},\frac{5}{3},\frac{5}{3};\frac{8}{3},\frac{8}{3},\frac{8}{3};5 x^3\right)+1440 x^7 \log (x) \, _2F_2\left(\frac{5}{3},\frac{5}{3};\frac{8}{3},\frac{8}{3};5 x^3\right)-600 x^4 \, _3F_3\left(\frac{2}{3},\frac{2}{3},\frac{2}{3};\frac{5}{3},\frac{5}{3},\frac{5}{3};5 x^3\right)+600 x^4 (2 \log (x)+1) \, _2F_2\left(\frac{2}{3},\frac{2}{3};\frac{5}{3},\frac{5}{3};5 x^3\right)+150 x^6 \log ^4(x)+300 x^4 \log ^2(x)+10 \sqrt[3]{10} \sqrt[3]{-x^3} x \Gamma \left(\frac{2}{3},-10 x^3\right)-15 \sqrt[3]{10} \sqrt[3]{-x^3} x \Gamma \left(\frac{5}{3},-10 x^3\right)-40\ 10^{2/3} \left(-x^3\right)^{2/3} \Gamma \left(\frac{1}{3},-10 x^3\right)+20\ 5^{2/3} \left(-x^3\right)^{2/3} \Gamma \left(\frac{1}{3},-5 x^3\right)+120\ 10^{2/3} \left(-x^3\right)^{2/3} \Gamma \left(\frac{4}{3},-10 x^3\right)-60\ 5^{2/3} \left(-x^3\right)^{2/3} \Gamma \left(\frac{4}{3},-5 x^3\right)+160 \sqrt[3]{5} \sqrt[3]{-x^3} x \log ^2(x) \Gamma \left(\frac{2}{3},0,-5 x^3\right)-240 \sqrt[3]{5} \sqrt[3]{-x^3} x \log ^2(x) \Gamma \left(\frac{5}{3},0,-5 x^3\right)+160 \sqrt[3]{5} \sqrt[3]{-x^3} x \log (x) \Gamma \left(\frac{2}{3},0,-5 x^3\right)+300 e^{5 x^3} x^5 \log ^2(x)-1200 e^{5 x^3} x^2+2400 e^{10 x^3} x^2\right)}{75 x^2}","16 \left(e^{5 x^3} (x-4)+x^2 \log ^2(x)+1\right)^2",1,"(8*(-1200*E^(5*x^3)*x^2 + 2400*E^(10*x^3)*x^2 - 40*10^(2/3)*(-x^3)^(2/3)*Gamma[1/3, -10*x^3] + 20*5^(2/3)*(-x^3)^(2/3)*Gamma[1/3, -5*x^3] + 10*10^(1/3)*x*(-x^3)^(1/3)*Gamma[2/3, -10*x^3] + 120*10^(2/3)*(-x^3)^(2/3)*Gamma[4/3, -10*x^3] - 60*5^(2/3)*(-x^3)^(2/3)*Gamma[4/3, -5*x^3] - 15*10^(1/3)*x*(-x^3)^(1/3)*Gamma[5/3, -10*x^3] - 600*x^4*HypergeometricPFQ[{2/3, 2/3, 2/3}, {5/3, 5/3, 5/3}, 5*x^3] - 288*x^7*HypergeometricPFQ[{5/3, 5/3, 5/3}, {8/3, 8/3, 8/3}, 5*x^3] + 160*5^(1/3)*x*(-x^3)^(1/3)*Gamma[2/3, 0, -5*x^3]*Log[x] + 1440*x^7*HypergeometricPFQ[{5/3, 5/3}, {8/3, 8/3}, 5*x^3]*Log[x] + 300*x^4*Log[x]^2 + 300*E^(5*x^3)*x^5*Log[x]^2 + 160*5^(1/3)*x*(-x^3)^(1/3)*Gamma[2/3, 0, -5*x^3]*Log[x]^2 - 240*5^(1/3)*x*(-x^3)^(1/3)*Gamma[5/3, 0, -5*x^3]*Log[x]^2 + 150*x^6*Log[x]^4 + 600*x^4*HypergeometricPFQ[{2/3, 2/3}, {5/3, 5/3}, 5*x^3]*(1 + 2*Log[x])))/(75*x^2)","C",1
6962,1,16,18,0.0579859,"\int \frac{2 x^2+e^{4 x^x} \left(-2+x^x (8 x+8 x \log (x))\right)}{x^2} \, dx","Integrate[(2*x^2 + E^(4*x^x)*(-2 + x^x*(8*x + 8*x*Log[x])))/x^2,x]","\frac{2 e^{4 x^x}}{x}+2 x","\frac{2 e^{4 x^x}}{x}+2 (x+9)",1,"(2*E^(4*x^x))/x + 2*x","A",1
6963,1,33,27,1.0695292,"\int \frac{\left(6 x-e^2 x+6 e^x x+2 x^2\right) \log \left(x^2\right)+\left(4 x-2 e^2 x+4 e^x x+4 x^2+\left(4-2 e^2+4 e^x+4 x\right) \log \left(\frac{1}{4} \left(4+e^4+4 e^{2 x}+e^2 (-4-4 x)+8 x+4 x^2+e^x \left(8-4 e^2+8 x\right)\right)\right)\right) \log \left(x+\log \left(\frac{1}{4} \left(4+e^4+4 e^{2 x}+e^2 (-4-4 x)+8 x+4 x^2+e^x \left(8-4 e^2+8 x\right)\right)\right)\right)}{4 x^2-2 e^2 x^2+4 e^x x^2+4 x^3+\left(4 x-2 e^2 x+4 e^x x+4 x^2\right) \log \left(\frac{1}{4} \left(4+e^4+4 e^{2 x}+e^2 (-4-4 x)+8 x+4 x^2+e^x \left(8-4 e^2+8 x\right)\right)\right)} \, dx","Integrate[((6*x - E^2*x + 6*E^x*x + 2*x^2)*Log[x^2] + (4*x - 2*E^2*x + 4*E^x*x + 4*x^2 + (4 - 2*E^2 + 4*E^x + 4*x)*Log[(4 + E^4 + 4*E^(2*x) + E^2*(-4 - 4*x) + 8*x + 4*x^2 + E^x*(8 - 4*E^2 + 8*x))/4])*Log[x + Log[(4 + E^4 + 4*E^(2*x) + E^2*(-4 - 4*x) + 8*x + 4*x^2 + E^x*(8 - 4*E^2 + 8*x))/4]])/(4*x^2 - 2*E^2*x^2 + 4*E^x*x^2 + 4*x^3 + (4*x - 2*E^2*x + 4*E^x*x + 4*x^2)*Log[(4 + E^4 + 4*E^(2*x) + E^2*(-4 - 4*x) + 8*x + 4*x^2 + E^x*(8 - 4*E^2 + 8*x))/4]),x]","\frac{1}{2} \log \left(x^2\right) \log \left(x+\log \left(\frac{1}{4} \left(2 x+2 e^x-e^2+2\right)^2\right)\right)","\frac{1}{2} \log \left(x^2\right) \log \left(x+\log \left(\left(x+e^x-\frac{e^2}{2}+1\right)^2\right)\right)",1,"(Log[x^2]*Log[x + Log[(2 - E^2 + 2*E^x + 2*x)^2/4]])/2","A",1
6964,1,70,31,0.4749796,"\int \frac{e^{16} \left(54+3 e^2-54 x-18 x^2-12 e x^2-18 x^3\right)+e^{16-\frac{x}{2}} \left(36+e^2 (6-3 x)-36 x-12 x^2-15 e x^2-12 x^3\right)+e^{16+\frac{x}{2}} \left(36-36 x-12 x^2-3 e x^2-12 x^3\right)+e^{16+x} \left(9-9 x-3 x^2-3 x^3\right)+e^{16-x} \left(9+e^2 (3-3 x)-9 x-3 x^2-6 e x^2-3 x^3\right)}{9+e^4+4 e^3 x+6 x^2+x^4+e^2 \left(6+6 x^2\right)+e \left(12 x+4 x^3\right)+e^{2 x} \left(9+6 x^2+x^4\right)+e^{3 x/2} \left(36+24 x^2+4 x^4+e \left(12 x+4 x^3\right)\right)+e^x \left(54+36 x^2+6 x^4+e^2 \left(6+6 x^2\right)+e \left(36 x+12 x^3\right)\right)+e^{x/2} \left(36+4 e^3 x+24 x^2+4 x^4+e^2 \left(12+12 x^2\right)+e \left(36 x+12 x^3\right)\right)} \, dx","Integrate[(E^16*(54 + 3*E^2 - 54*x - 18*x^2 - 12*E*x^2 - 18*x^3) + E^(16 - x/2)*(36 + E^2*(6 - 3*x) - 36*x - 12*x^2 - 15*E*x^2 - 12*x^3) + E^(16 + x/2)*(36 - 36*x - 12*x^2 - 3*E*x^2 - 12*x^3) + E^(16 + x)*(9 - 9*x - 3*x^2 - 3*x^3) + E^(16 - x)*(9 + E^2*(3 - 3*x) - 9*x - 3*x^2 - 6*E*x^2 - 3*x^3))/(9 + E^4 + 4*E^3*x + 6*x^2 + x^4 + E^2*(6 + 6*x^2) + E*(12*x + 4*x^3) + E^(2*x)*(9 + 6*x^2 + x^4) + E^((3*x)/2)*(36 + 24*x^2 + 4*x^4 + E*(12*x + 4*x^3)) + E^x*(54 + 36*x^2 + 6*x^4 + E^2*(6 + 6*x^2) + E*(36*x + 12*x^3)) + E^(x/2)*(36 + 4*E^3*x + 24*x^2 + 4*x^4 + E^2*(12 + 12*x^2) + E*(36*x + 12*x^3))),x]","\frac{3 e^{16-x} \left(e^{x/2}+1\right)^2 x}{x^2+2 e^{x/2} \left(x^2+3\right)+e^x \left(x^2+3\right)+2 e^{\frac{x}{2}+1} x+2 e x+e^2+3}","\frac{3 e^{16-x} x}{\left(x+\frac{e}{e^{x/2}+1}\right)^2+3}",1,"(3*E^(16 - x)*(1 + E^(x/2))^2*x)/(3 + E^2 + 2*E*x + 2*E^(1 + x/2)*x + x^2 + 2*E^(x/2)*(3 + x^2) + E^x*(3 + x^2))","B",1
6965,1,18,20,0.0067144,"\int \frac{1}{72} e^{-x} \left(-1-480 e^x+4 e^{2 x}\right) \, dx","Integrate[(-1 - 480*E^x + 4*E^(2*x))/(72*E^x),x]","\frac{1}{72} \left(-480 x+e^{-x}+4 e^x\right)","\frac{1}{18} \left(-120 x+\frac{e^{-x}}{4}+e^x\right)",1,"(E^(-x) + 4*E^x - 480*x)/72","A",1
6966,1,57,33,0.0912246,"\int \frac{6 x+3 x^2+e^4 \left(6 x+3 x^2\right)+\left(6 x+3 x^2\right) \log (3)+\left(-170-414 x-241 x^2-53 x^3-4 x^4+e^4 \left(-170-244 x-82 x^2-8 x^3\right)+\left(-170-244 x-82 x^2-8 x^3\right) \log (3)\right) \log \left(\frac{17+4 x}{5+x}\right)}{\left(170 x+159 x^2+45 x^3+4 x^4\right) \log \left(\frac{17+4 x}{5+x}\right)} \, dx","Integrate[(6*x + 3*x^2 + E^4*(6*x + 3*x^2) + (6*x + 3*x^2)*Log[3] + (-170 - 414*x - 241*x^2 - 53*x^3 - 4*x^4 + E^4*(-170 - 244*x - 82*x^2 - 8*x^3) + (-170 - 244*x - 82*x^2 - 8*x^3)*Log[3])*Log[(17 + 4*x)/(5 + x)])/((170*x + 159*x^2 + 45*x^3 + 4*x^4)*Log[(17 + 4*x)/(5 + x)]),x]","-x-\frac{1}{2} \left(2+2 e^4+\log (9)\right) \log (x)-\frac{1}{2} \left(2+2 e^4+\log (9)\right) \log (x+2)+\left(1+e^4+\log (3)\right) \log \left(\log \left(\frac{4 x+17}{x+5}\right)\right)","\left(1+e^4+\log (3)\right) \log \left(\frac{5 \log \left(4-\frac{3}{x+5}\right)}{x (x+2)}\right)-x",1,"-x - ((2 + 2*E^4 + Log[9])*Log[x])/2 - ((2 + 2*E^4 + Log[9])*Log[2 + x])/2 + (1 + E^4 + Log[3])*Log[Log[(17 + 4*x)/(5 + x)]]","A",1
6967,1,22,28,0.0365844,"\int \frac{4+4 x-8 x^2+e^{2 x} \left(-x-2 x^2\right)}{4 x} \, dx","Integrate[(4 + 4*x - 8*x^2 + E^(2*x)*(-x - 2*x^2))/(4*x),x]","\frac{1}{4} \left(4 \log (x)-x \left(4 x+e^{2 x}-4\right)\right)","-x^2-\frac{e^{2 x} x^2}{\log \left(e^{4 x}\right)}+x+\log (x)+4",1,"(-(x*(-4 + E^(2*x) + 4*x)) + 4*Log[x])/4","A",1
6968,1,31,30,0.2720983,"\int \frac{2+3 x-2 x^2+6 x^3+e^{2 x} (2+8 x)+e^x \left(2+13 x+14 x^2\right)}{x+e^{2 x} x-x^2+x^3+e^x \left(x+2 x^2\right)} \, dx","Integrate[(2 + 3*x - 2*x^2 + 6*x^3 + E^(2*x)*(2 + 8*x) + E^x*(2 + 13*x + 14*x^2))/(x + E^(2*x)*x - x^2 + x^3 + E^x*(x + 2*x^2)),x]","\log \left(x^2+2 e^x x-x+e^x+e^{2 x}+1\right)+6 x+2 \log (x)","\log \left(\frac{1}{4} x^2 \left(5 \left(\left(x+e^x\right)^2+e^x-x\right)+5\right)\right)+6 x",1,"6*x + 2*Log[x] + Log[1 + E^x + E^(2*x) - x + 2*E^x*x + x^2]","A",1
6969,1,19,19,0.0020555,"\int -\frac{\log (2)}{x^4 (i \pi +\log (5))} \, dx","Integrate[-(Log[2]/(x^4*(I*Pi + Log[5]))),x]","\frac{\log (2)}{3 x^3 (\log (5)+i \pi )}","\frac{\log (2)}{3 x^3 (\log (5)+i \pi )}",1,"Log[2]/(3*x^3*(I*Pi + Log[5]))","A",1
6970,1,22,31,0.0023712,"\int \frac{6+3 x+6 x^3-2 \log \left(x^3\right)}{2 x^2} \, dx","Integrate[(6 + 3*x + 6*x^3 - 2*Log[x^3])/(2*x^2),x]","\frac{\log \left(x^3\right)}{x}+\frac{3 x^2}{2}+\frac{3 \log (x)}{2}","\frac{\log \left(x^3\right)}{x}+\frac{3}{2} \left(x^2-\log \left(\frac{6-e^2}{x}\right)\right)",1,"(3*x^2)/2 + (3*Log[x])/2 + Log[x^3]/x","A",1
6971,1,23,25,0.1165139,"\int \frac{4+e^4 x+e^{4-x+e^{-x} x} (-1+x) x}{x} \, dx","Integrate[(4 + E^4*x + E^(4 - x + x/E^x)*(-1 + x)*x)/x,x]","e^4 x-e^{e^{-x} x+4}+4 \log (x)","2 \log \left(x^2\right)+e^4 \left(x-e^{e^{-x} x}\right)-3",1,"-E^(4 + x/E^x) + E^4*x + 4*Log[x]","A",1
6972,1,31,30,0.0613455,"\int \frac{6250 x+1500 x^2-100 x^3-125 x^4+10 e^{2 x} x^5+10 e^{2 x} x^7+e^x x \left(-500 x^3+21 x^5+20 e^x x^5+x^6-x^7\right)+e^x \left(-500 x^3-20 x^4+22 x^5+2 x^6-x^7\right)}{3125-250 e^x x^2+5 e^{2 x} x^4+5 e^{2 x} x^6+e^x x \left(-250 x^2+10 e^x x^4\right)} \, dx","Integrate[(6250*x + 1500*x^2 - 100*x^3 - 125*x^4 + 10*E^(2*x)*x^5 + 10*E^(2*x)*x^7 + E^x*x*(-500*x^3 + 21*x^5 + 20*E^x*x^5 + x^6 - x^7) + E^x*(-500*x^3 - 20*x^4 + 22*x^5 + 2*x^6 - x^7))/(3125 - 250*E^x*x^2 + 5*E^(2*x)*x^4 + 5*E^(2*x)*x^6 + E^x*x*(-250*x^2 + 10*E^x*x^4)),x]","\frac{1}{5} x^2 \left(\frac{x \left(x^2+x-20\right)}{e^x x^2 (x+1)-25}+5\right)","x \left(\frac{(x-4) (x+5)}{5 \left(-\frac{25}{x^2}+e^x x+e^x\right)}+x\right)",1,"(x^2*(5 + (x*(-20 + x + x^2))/(-25 + E^x*x^2*(1 + x))))/5","A",1
6973,1,11,19,0.0011651,"\int \frac{-e^4+3 x^2}{x^2} \, dx","Integrate[(-E^4 + 3*x^2)/x^2,x]","3 x+\frac{e^4}{x}","\frac{e^4}{x}+3 \log \left(\frac{e^x}{5}\right)+10",1,"E^4/x + 3*x","A",1
6974,1,73,29,0.0322031,"\int \frac{48 x-1168 x^2-1216 x^3+336 x^4+2000 x^5+\left(32-784 x-800 x^2-48 x^3+1600 x^4\right) \log (x)+\left(16-384 x-800 x^2-400 x \log (x)\right) \log \left(x^2\right)}{x} \, dx","Integrate[(48*x - 1168*x^2 - 1216*x^3 + 336*x^4 + 2000*x^5 + (32 - 784*x - 800*x^2 - 48*x^3 + 1600*x^4)*Log[x] + (16 - 384*x - 800*x^2 - 400*x*Log[x])*Log[x^2])/x,x]","4 \left(\log ^2\left(x^2\right)+4 (1-25 x) x \log \left(x^2\right)+4 \left(25 x^3-x^2-25 x+1\right) x^2+4 x \log (x) \left(25 x^3-x^2-25 \log \left(x^2\right)-25 x+1\right)+4 \log ^2(x)\right)","16 \left(x-25 x^2\right) (x+\log (x)) \left(\frac{\log \left(x^2\right)+x}{x}-x^2\right)",1,"4*(4*x^2*(1 - 25*x - x^2 + 25*x^3) + 4*Log[x]^2 + 4*x*Log[x]*(1 - 25*x - x^2 + 25*x^3 - 25*Log[x^2]) + 4*(1 - 25*x)*x*Log[x^2] + Log[x^2]^2)","B",1
6975,1,143,34,0.2228109,"\int \frac{x-x^2+\left(1250-2500 x+e^x \left(-2500 x+2500 x^2\right)\right) \log \left(-\frac{e^{2 e^x}}{-x+x^2}\right)}{-5 x+5 x^2+e \left(-4 x+4 x^2\right)} \, dx","Integrate[(x - x^2 + (1250 - 2500*x + E^x*(-2500*x + 2500*x^2))*Log[-(E^(2*E^x)/(-x + x^2))])/(-5*x + 5*x^2 + E*(-4*x + 4*x^2)),x]","\frac{1250 \log (1-x) \left(-\log \left(\frac{e^{2 e^x}}{x-x^2}\right)+2 e^x+\log \left(\frac{1}{(x-1) x}\right)\right)+2500 e^x \log \left(\frac{e^{2 e^x}}{x-x^2}\right)-1250 \log (x) \log \left(\frac{e^{2 e^x}}{x-x^2}\right)-2500 e^{2 x}-x+625 \log ^2\left(\frac{1}{(x-1) x}\right)+1250 \log (x) \log \left(\frac{1}{(x-1) x}\right)+2500 e^x \log (x)}{5+4 e}","\frac{625 \log ^2\left(\frac{e^{2 e^x}}{x-x^2}\right)-x}{5+4 e}",1,"(-2500*E^(2*x) - x + 625*Log[1/((-1 + x)*x)]^2 + 2500*E^x*Log[x] + 1250*Log[1/((-1 + x)*x)]*Log[x] + 1250*Log[1 - x]*(2*E^x + Log[1/((-1 + x)*x)] - Log[E^(2*E^x)/(x - x^2)]) + 2500*E^x*Log[E^(2*E^x)/(x - x^2)] - 1250*Log[x]*Log[E^(2*E^x)/(x - x^2)])/(5 + 4*E)","B",1
6976,1,11,10,0.0000743,"\int (242 x-22 \log (5)) \, dx","Integrate[242*x - 22*Log[5],x]","121 x^2-22 x \log (5)","(11 x-\log (5))^2",1,"121*x^2 - 22*x*Log[5]","A",1
6977,1,27,16,0.0207099,"\int \frac{e^x (-8+x)+x+(-8+x) \log (2)+(-8+x) \log (8-x)}{-8+x} \, dx","Integrate[(E^x*(-8 + x) + x + (-8 + x)*Log[2] + (-8 + x)*Log[8 - x])/(-8 + x),x]","e^x+x \log (2)-(8-x) \log (8-x)+8 \log (x-8)","e^x+x (\log (8-x)+\log (2))+14",1,"E^x + x*Log[2] - (8 - x)*Log[8 - x] + 8*Log[-8 + x]","A",1
6978,1,26,33,0.0873382,"\int \frac{-3 x^5+\left(1536+384 x+1536 x^2+384 x^3+28 x^5+7 x^6\right) \log (4+x) \log (\log (4+x))}{\left(24 x^5+6 x^6\right) \log (4+x) \log (\log (4+x))} \, dx","Integrate[(-3*x^5 + (1536 + 384*x + 1536*x^2 + 384*x^3 + 28*x^5 + 7*x^6)*Log[4 + x]*Log[Log[4 + x]])/((24*x^5 + 6*x^6)*Log[4 + x]*Log[Log[4 + x]]),x]","\frac{1}{6} \left(-\frac{96}{x^4}-\frac{192}{x^2}+7 x-3 \log (\log (\log (x+4)))\right)","-\left(\frac{4}{x^2}+4\right)^2+x+\frac{1}{2} \left(\frac{x}{3}-\log (\log (\log (x+4)))+4\right)-4",1,"(-96/x^4 - 192/x^2 + 7*x - 3*Log[Log[Log[4 + x]]])/6","A",1
6979,1,50,31,0.0696836,"\int \frac{(1-x) \log (5)+\left(-4 x+2 x^2+\left(4+2 x-2 x^2\right) \log (5)\right) \log (-2+x)+(2-x) \log (5) \log (-2+x) \log (\log (-2+x))}{(-2+x) \log (5) \log (-2+x)} \, dx","Integrate[((1 - x)*Log[5] + (-4*x + 2*x^2 + (4 + 2*x - 2*x^2)*Log[5])*Log[-2 + x] + (2 - x)*Log[5]*Log[-2 + x]*Log[Log[-2 + x]])/((-2 + x)*Log[5]*Log[-2 + x]),x]","-\frac{(x-2)^2 (\log (25)-2)}{2 \log (5)}-(x-2) \log (\log (x-2))-\frac{(x-2) (3 \log (25)-4)}{\log (5)}-\log (\log (x-2))","-x^2+\frac{x^2+1}{\log (5)}-2 x+(1-x) \log (\log (x-2))+2",1,"-1/2*((-2 + x)^2*(-2 + Log[25]))/Log[5] - ((-2 + x)*(-4 + 3*Log[25]))/Log[5] - Log[Log[-2 + x]] - (-2 + x)*Log[Log[-2 + x]]","A",1
6980,0,0,28,0.1141945,"\int \frac{x^2-2 x^3-\log (2)+e^{2+x} \left(9 x^2-6 x^3+7 x^4-2 x^5+x^6+\left(-6 x+2 x^2-2 x^3\right) \log (2)+\log ^2(2)\right)}{9 x^2-6 x^3+7 x^4-2 x^5+x^6+\left(-6 x+2 x^2-2 x^3\right) \log (2)+\log ^2(2)} \, dx","Integrate[(x^2 - 2*x^3 - Log[2] + E^(2 + x)*(9*x^2 - 6*x^3 + 7*x^4 - 2*x^5 + x^6 + (-6*x + 2*x^2 - 2*x^3)*Log[2] + Log[2]^2))/(9*x^2 - 6*x^3 + 7*x^4 - 2*x^5 + x^6 + (-6*x + 2*x^2 - 2*x^3)*Log[2] + Log[2]^2),x]","\int \frac{x^2-2 x^3-\log (2)+e^{2+x} \left(9 x^2-6 x^3+7 x^4-2 x^5+x^6+\left(-6 x+2 x^2-2 x^3\right) \log (2)+\log ^2(2)\right)}{9 x^2-6 x^3+7 x^4-2 x^5+x^6+\left(-6 x+2 x^2-2 x^3\right) \log (2)+\log ^2(2)} \, dx","\frac{x}{-\left(\left(x-x^2\right) x\right)+3 x-\log (2)}+e^{x+2}",1,"Integrate[(x^2 - 2*x^3 - Log[2] + E^(2 + x)*(9*x^2 - 6*x^3 + 7*x^4 - 2*x^5 + x^6 + (-6*x + 2*x^2 - 2*x^3)*Log[2] + Log[2]^2))/(9*x^2 - 6*x^3 + 7*x^4 - 2*x^5 + x^6 + (-6*x + 2*x^2 - 2*x^3)*Log[2] + Log[2]^2), x]","F",-1
6981,1,27,23,0.0131527,"\int \frac{e^{-x} \left(-e^{4+x}+x^2+2 x^3-x^4\right)}{5 x^2} \, dx","Integrate[(-E^(4 + x) + x^2 + 2*x^3 - x^4)/(5*E^x*x^2),x]","\frac{e^4}{5 x}-\frac{1}{5} e^{-x} \left(1-x^2\right)","\frac{1}{5} e^{-x} \left(x^2+\frac{e^{x+4}}{x}-1\right)",1,"E^4/(5*x) - (1 - x^2)/(5*E^x)","A",1
6982,1,32,22,0.0277761,"\int \frac{e^8+4 e^{12}+\left(e^8+4 e^{12}\right) \log (x)-16 e^4 \log ^2(x)}{4 e^4 x^2 \log ^2(x)} \, dx","Integrate[(E^8 + 4*E^12 + (E^8 + 4*E^12)*Log[x] - 16*E^4*Log[x]^2)/(4*E^4*x^2*Log[x]^2),x]","\frac{4}{x}-\frac{e^8}{x \log (x)}-\frac{e^4}{4 x \log (x)}","\frac{4-\frac{e^4 \left(\frac{1}{4}+e^4\right)}{\log (x)}}{x}",1,"4/x - E^4/(4*x*Log[x]) - E^8/(x*Log[x])","A",1
6983,1,13,19,0.0078918,"\int \frac{-123-4 e^{-4 x/41} x^2}{41 x^2} \, dx","Integrate[(-123 - (4*x^2)/E^((4*x)/41))/(41*x^2),x]","e^{-4 x/41}+\frac{3}{x}","e^{-4 x/41}-\frac{x \log (3)-3}{x}",1,"E^((-4*x)/41) + 3/x","A",1
6984,1,26,26,0.3758585,"\int \frac{-30+e^{\frac{1}{20} \left(40+e^{-1+x^2} (-1+2 x)\right)} \left(10 e^x x+e^{-1+x+x^2} \left(x-x^2+2 x^3\right)\right)}{10 x} \, dx","Integrate[(-30 + E^((40 + E^(-1 + x^2)*(-1 + 2*x))/20)*(10*E^x*x + E^(-1 + x + x^2)*(x - x^2 + 2*x^3)))/(10*x),x]","e^{\frac{1}{20} e^{x^2-1} (2 x-1)+x+2}-3 \log (x)","e^{-\frac{1}{20} e^{x^2-1} (1-2 x)+x+2}-3 \log (x)",1,"E^(2 + x + (E^(-1 + x^2)*(-1 + 2*x))/20) - 3*Log[x]","A",1
6985,1,26,22,0.057477,"\int \frac{-16 x-2 x^2-8 x^4-4 x^5+\left(-8 x-2 x^2+8 x^4+2 x^5\right) \log \left(\frac{16+8 x+x^2-32 x^3-16 x^4-2 x^5+16 x^6+8 x^7+x^8}{x^4}\right)}{\left(-4-x+4 x^3+x^4\right) \log ^2\left(\frac{16+8 x+x^2-32 x^3-16 x^4-2 x^5+16 x^6+8 x^7+x^8}{x^4}\right)} \, dx","Integrate[(-16*x - 2*x^2 - 8*x^4 - 4*x^5 + (-8*x - 2*x^2 + 8*x^4 + 2*x^5)*Log[(16 + 8*x + x^2 - 32*x^3 - 16*x^4 - 2*x^5 + 16*x^6 + 8*x^7 + x^8)/x^4])/((-4 - x + 4*x^3 + x^4)*Log[(16 + 8*x + x^2 - 32*x^3 - 16*x^4 - 2*x^5 + 16*x^6 + 8*x^7 + x^8)/x^4]^2),x]","\frac{x^2}{\log \left(\frac{\left(x^4+4 x^3-x-4\right)^2}{x^4}\right)}","\frac{x^2}{\log \left((x+4)^2 \left(x-\frac{1}{x^2}\right)^2\right)}",1,"x^2/Log[(-4 - x + 4*x^3 + x^4)^2/x^4]","A",1
6986,1,13,19,0.0012807,"\int \frac{81-9 x^2}{2 x^2} \, dx","Integrate[(81 - 9*x^2)/(2*x^2),x]","\frac{9}{2} \left(-x-\frac{9}{x}\right)","\log ^2(9)-\frac{(9-3 x)^2}{2 x}",1,"(9*(-9/x - x))/2","A",1
6987,1,29,28,0.2031093,"\int \frac{-15+e^{\frac{1}{5} \left(e^{40+x} x+e^{40} (5+10 x)\right)} \left(-30 e^{40}+e^{40+x} (-3-3 x)\right)}{\left(5 e^{\frac{1}{5} \left(e^{40+x} x+e^{40} (5+10 x)\right)}+5 x\right) \log ^2\left(e^{\frac{1}{5} \left(e^{40+x} x+e^{40} (5+10 x)\right)}+x\right)} \, dx","Integrate[(-15 + E^((E^(40 + x)*x + E^40*(5 + 10*x))/5)*(-30*E^40 + E^(40 + x)*(-3 - 3*x)))/((5*E^((E^(40 + x)*x + E^40*(5 + 10*x))/5) + 5*x)*Log[E^((E^(40 + x)*x + E^40*(5 + 10*x))/5) + x]^2),x]","\frac{3}{\log \left(x+e^{\frac{1}{5} e^{x+40} x+2 e^{40} x+e^{40}}\right)}","\frac{3}{\log \left(x+e^{e^{40} \left(\left(\frac{e^x}{5}+2\right) x+1\right)}\right)}+1",1,"3/Log[E^(E^40 + 2*E^40*x + (E^(40 + x)*x)/5) + x]","A",1
6988,1,8,23,0.0000706,"\int (-1+\log (2)) \, dx","Integrate[-1 + Log[2],x]","x \log (2)-x","x^3+x \left(\log (2)-x^2\right)-x-e^3+6",1,"-x + x*Log[2]","A",1
6989,1,20,30,0.1793569,"\int \frac{-72+36 x+e^{x^2} \left(36-20 x-72 x^2+18 x^3\right)}{4-4 e^{x^2}+e^{2 x^2}} \, dx","Integrate[(-72 + 36*x + E^x^2*(36 - 20*x - 72*x^2 + 18*x^3))/(4 - 4*E^x^2 + E^(2*x^2)),x]","\frac{-9 x^2+36 x+1}{e^{x^2}-2}","\frac{9 ((5-x) x-x) x+x}{e^{x^2} x-2 x}",1,"(1 + 36*x - 9*x^2)/(-2 + E^x^2)","A",1
6990,1,9,9,0.0396097,"\int \frac{-4 x+(-20+4 x) \log (-5+x)}{(-5+x) \log ^2(-5+x)} \, dx","Integrate[(-4*x + (-20 + 4*x)*Log[-5 + x])/((-5 + x)*Log[-5 + x]^2),x]","\frac{4 x}{\log (x-5)}","\frac{4 x}{\log (x-5)}",1,"(4*x)/Log[-5 + x]","A",1
6991,1,38,26,0.043922,"\int \frac{90 x^2 \log ^2(3)+e^{x^2} \left(-300 x-300 x^3\right) \log ^2(3)}{225+60 x^3 \log ^2(3)+100 e^{2 x^2} x^4 \log ^4(3)+4 x^6 \log ^4(3)+e^{x^2} \left(-300 x^2 \log ^2(3)-40 x^5 \log ^4(3)\right)} \, dx","Integrate[(90*x^2*Log[3]^2 + E^x^2*(-300*x - 300*x^3)*Log[3]^2)/(225 + 60*x^3*Log[3]^2 + 100*E^(2*x^2)*x^4*Log[3]^4 + 4*x^6*Log[3]^4 + E^x^2*(-300*x^2*Log[3]^2 - 40*x^5*Log[3]^4)),x]","-\frac{30 \log ^2(3)}{4 x^3 \log ^4(3)-20 e^{x^2} x^2 \log ^4(3)+30 \log ^2(3)}","\frac{3}{2 \left(e^{x^2}-\frac{x}{5}\right) x^2 \log ^2(3)-3}",1,"(-30*Log[3]^2)/(30*Log[3]^2 - 20*E^x^2*x^2*Log[3]^4 + 4*x^3*Log[3]^4)","A",1
6992,1,31,32,0.3732238,"\int \frac{-10 x-4 e^5 x+x^2+\left(-20 x-8 e^5 x+4 x^2\right) \log \left(4 e^x\right)+\left(-10-4 e^5\right) \log ^2\left(4 e^x\right)}{2 x^4+8 x^3 \log ^2\left(4 e^x\right)+8 x^2 \log ^4\left(4 e^x\right)} \, dx","Integrate[(-10*x - 4*E^5*x + x^2 + (-20*x - 8*E^5*x + 4*x^2)*Log[4*E^x] + (-10 - 4*E^5)*Log[4*E^x]^2)/(2*x^4 + 8*x^3*Log[4*E^x]^2 + 8*x^2*Log[4*E^x]^4),x]","\frac{-x+2 e^5+5}{2 x \left(x+2 \log ^2\left(4 e^x\right)\right)}","\frac{-x+\frac{x+5}{2}+e^5}{x \left(x+2 \log ^2\left(4 e^x\right)\right)}",1,"(5 + 2*E^5 - x)/(2*x*(x + 2*Log[4*E^x]^2))","A",1
6993,1,27,23,0.0102224,"\int \frac{-6-2 x^2+8 x^4+\left(3+x^2-4 x^4\right) \log (4)}{x+x^3+4 x^4+4 x^5} \, dx","Integrate[(-6 - 2*x^2 + 8*x^4 + (3 + x^2 - 4*x^4)*Log[4])/(x + x^3 + 4*x^4 + 4*x^5),x]","-\left((\log (4)-2) \left(\log \left(4 x^4+4 x^3+x^2+1\right)-3 \log (x)\right)\right)","(2-\log (4)) \log \left(\frac{x+\frac{1}{x}}{4 x^2}+x+1\right)",1,"-((-2 + Log[4])*(-3*Log[x] + Log[1 + x^2 + 4*x^3 + 4*x^4]))","A",1
6994,1,27,27,0.062163,"\int \frac{2-15 x-15 e^4 x+30 x^2+\left(e^4-2 x\right) \log \left(x^2\right)+\left(-15 x+\log \left(x^2\right)\right) \log \left(-15 x+\log \left(x^2\right)\right)}{\left(15 e^4 x^2-15 x^3\right) \log ^2(5)+\left(-e^4 x+x^2\right) \log ^2(5) \log \left(x^2\right)+\left(15 x^2 \log ^2(5)-x \log ^2(5) \log \left(x^2\right)\right) \log \left(-15 x+\log \left(x^2\right)\right)+\left(-15 e^4 x^2+15 x^3+\left(e^4 x-x^2\right) \log \left(x^2\right)+\left(-15 x^2+x \log \left(x^2\right)\right) \log \left(-15 x+\log \left(x^2\right)\right)\right) \log \left(e^4 x-x^2+x \log \left(-15 x+\log \left(x^2\right)\right)\right)} \, dx","Integrate[(2 - 15*x - 15*E^4*x + 30*x^2 + (E^4 - 2*x)*Log[x^2] + (-15*x + Log[x^2])*Log[-15*x + Log[x^2]])/((15*E^4*x^2 - 15*x^3)*Log[5]^2 + (-(E^4*x) + x^2)*Log[5]^2*Log[x^2] + (15*x^2*Log[5]^2 - x*Log[5]^2*Log[x^2])*Log[-15*x + Log[x^2]] + (-15*E^4*x^2 + 15*x^3 + (E^4*x - x^2)*Log[x^2] + (-15*x^2 + x*Log[x^2])*Log[-15*x + Log[x^2]])*Log[E^4*x - x^2 + x*Log[-15*x + Log[x^2]]]),x]","\log \left(\log ^2(5)-\log \left(x \left(\log \left(\log \left(x^2\right)-15 x\right)-x+e^4\right)\right)\right)","\log \left(\log ^2(5)-\log \left(x \left(\log \left(\log \left(x^2\right)-15 x\right)-x+e^4\right)\right)\right)",1,"Log[Log[5]^2 - Log[x*(E^4 - x + Log[-15*x + Log[x^2]])]]","A",1
6995,1,24,24,0.1740819,"\int \frac{e^{x^2} \left(x+e^{-2+2 x} x+x^2+\left(x+2 x^3+2 x^4+e^{-2+2 x} \left(2 x+2 x^3\right)\right) \log (x)+\left(1+e^{-2+2 x}+x+\left(-1-x+2 x^2+2 x^3+e^{-2+2 x} \left(-1+2 x^2\right)\right) \log (x)\right) \log \left(1+e^{-2+2 x}+x\right)\right)}{x^2+e^{-2+2 x} x^2+x^3} \, dx","Integrate[(E^x^2*(x + E^(-2 + 2*x)*x + x^2 + (x + 2*x^3 + 2*x^4 + E^(-2 + 2*x)*(2*x + 2*x^3))*Log[x] + (1 + E^(-2 + 2*x) + x + (-1 - x + 2*x^2 + 2*x^3 + E^(-2 + 2*x)*(-1 + 2*x^2))*Log[x])*Log[1 + E^(-2 + 2*x) + x]))/(x^2 + E^(-2 + 2*x)*x^2 + x^3),x]","\frac{e^{x^2} \log (x) \left(x+\log \left(x+e^{2 x-2}+1\right)\right)}{x}","\frac{e^{x^2} \log (x) \left(x+\log \left(x+e^{2 x-2}+1\right)\right)}{x}",1,"(E^x^2*Log[x]*(x + Log[1 + E^(-2 + 2*x) + x]))/x","A",1
6996,1,30,25,0.2887963,"\int \frac{4 x^2+4 x^2 \log (5)+x^2 \log ^2(5)+e^{2 x} \left(729+486 \log (5)+81 \log ^2(5)\right)+e^x \left(108 x+90 x \log (5)+18 x \log ^2(5)\right)+e^x \left(e \left(-27 x+27 x^2\right)+e \left(-9 x+9 x^2\right) \log (5)\right) \log (x)}{\left(4 x^3+4 x^3 \log (5)+x^3 \log ^2(5)+e^{2 x} \left(729 x+486 x \log (5)+81 x \log ^2(5)\right)+e^x \left(108 x^2+90 x^2 \log (5)+18 x^2 \log ^2(5)\right)\right) \log (x)} \, dx","Integrate[(4*x^2 + 4*x^2*Log[5] + x^2*Log[5]^2 + E^(2*x)*(729 + 486*Log[5] + 81*Log[5]^2) + E^x*(108*x + 90*x*Log[5] + 18*x*Log[5]^2) + E^x*(E*(-27*x + 27*x^2) + E*(-9*x + 9*x^2)*Log[5])*Log[x])/((4*x^3 + 4*x^3*Log[5] + x^3*Log[5]^2 + E^(2*x)*(729*x + 486*x*Log[5] + 81*x*Log[5]^2) + E^x*(108*x^2 + 90*x^2*Log[5] + 18*x^2*Log[5]^2))*Log[x]),x]","\log (\log (x))-\frac{e x}{2 x+27 e^x+x \log (5)+9 e^x \log (5)}","\log (\log (x))-\frac{e}{\frac{9 e^x (3+\log (5))}{x}+2+\log (5)}",1,"-((E*x)/(27*E^x + 2*x + 9*E^x*Log[5] + x*Log[5])) + Log[Log[x]]","A",1
6997,1,34,33,0.0592053,"\int \frac{1}{20} \left(4+e^x (-4-4 x)-24 x+e^{e^x} \left(15+5 e^{2 x}+15 e^x x\right)\right) \, dx","Integrate[(4 + E^x*(-4 - 4*x) - 24*x + E^E^x*(15 + 5*E^(2*x) + 15*E^x*x))/20,x]","\frac{1}{20} \left(-12 x^2-4 e^x x+4 x+5 e^{e^x} \left(3 x+e^x-1\right)\right)","\left(\frac{e^{e^x}}{4}-\frac{x}{5}\right) \left(\frac{3 \left(x^2-x\right)}{x}+e^x+2\right)",1,"(4*x - 4*E^x*x - 12*x^2 + 5*E^E^x*(-1 + E^x + 3*x))/20","A",1
6998,1,29,24,0.026561,"\int \frac{3-19 x+2 x^2+e^x \left(-16 x-16 x^2\right)+e^{2 x} \left(-4 x-8 x^2\right)}{3 x} \, dx","Integrate[(3 - 19*x + 2*x^2 + E^x*(-16*x - 16*x^2) + E^(2*x)*(-4*x - 8*x^2))/(3*x),x]","\frac{1}{3} \left(x^2-16 e^x x-4 e^{2 x} x-19 x+3 \log (x)\right)","-\frac{1}{3} \left(\left(2 e^x+4\right)^2-x\right) x-x+\log (x)",1,"(-19*x - 16*E^x*x - 4*E^(2*x)*x + x^2 + 3*Log[x])/3","A",1
6999,1,10,17,0.0003866,"\int -\frac{e^4}{x^3} \, dx","Integrate[-(E^4/x^3),x]","\frac{e^4}{2 x^2}","2 \left(\frac{e^4}{4 x^2}-11 \log (3)\right)",1,"E^4/(2*x^2)","A",1
7000,1,19,27,0.0107642,"\int \frac{-e^2+14 x^3+e^x \left(2 x^3+2 x^4\right)}{2 x^3} \, dx","Integrate[(-E^2 + 14*x^3 + E^x*(2*x^3 + 2*x^4))/(2*x^3),x]","\frac{e^2}{4 x^2}+e^x x+7 x","\frac{e^2}{4 x^2}+\left(e^x+5\right) x+2 x-e^3+5",1,"E^2/(4*x^2) + 7*x + E^x*x","A",1
7001,1,55,30,0.0227761,"\int \frac{1}{3} \left(-15-3 e^2-30 x-9 x^2+\left(150 x+45 x^2+e^9 \left(10 x+3 x^2\right)\right) \log (5)\right) \, dx","Integrate[(-15 - 3*E^2 - 30*x - 9*x^2 + (150*x + 45*x^2 + E^9*(10*x + 3*x^2))*Log[5])/3,x]","x^3 (5 \log (5)-1)+\frac{1}{3} e^9 x^3 \log (5)+5 x^2 (5 \log (5)-1)+\frac{5}{3} e^9 x^2 \log (5)-e^2 x-5 x","x \left((x+5) \left(\left(5+\frac{e^9}{3}\right) x \log (5)-x\right)-e^2-5\right)",1,"-5*x - E^2*x + (5*E^9*x^2*Log[5])/3 + (E^9*x^3*Log[5])/3 + 5*x^2*(-1 + 5*Log[5]) + x^3*(-1 + 5*Log[5])","A",1
7002,1,29,34,0.2915719,"\int \frac{\exp \left(-\frac{-x+\log \left(\left(6+e^3-x\right) \log (x-\log (4+4 x))\right)}{x}\right) \left(6 x^2+e^3 x^2-x^3+\left(-7 x^2-6 x^3+x^4+e^3 \left(-x^2-x^3\right)+\left(7 x+6 x^2-x^3+e^3 \left(x+x^2\right)\right) \log (4+4 x)\right) \log (x-\log (4+4 x))+\left(-6 x-5 x^2+x^3+e^3 \left(-x-x^2\right)+\left(6+5 x-x^2+e^3 (1+x)\right) \log (4+4 x)\right) \log (x-\log (4+4 x)) \log \left(\left(6+e^3-x\right) \log (x-\log (4+4 x))\right)\right)}{\left(-6 x^2-5 x^3+x^4+e^3 \left(-x^2-x^3\right)+\left(6 x+5 x^2-x^3+e^3 \left(x+x^2\right)\right) \log (4+4 x)\right) \log (x-\log (4+4 x))} \, dx","Integrate[(6*x^2 + E^3*x^2 - x^3 + (-7*x^2 - 6*x^3 + x^4 + E^3*(-x^2 - x^3) + (7*x + 6*x^2 - x^3 + E^3*(x + x^2))*Log[4 + 4*x])*Log[x - Log[4 + 4*x]] + (-6*x - 5*x^2 + x^3 + E^3*(-x - x^2) + (6 + 5*x - x^2 + E^3*(1 + x))*Log[4 + 4*x])*Log[x - Log[4 + 4*x]]*Log[(6 + E^3 - x)*Log[x - Log[4 + 4*x]]])/(E^((-x + Log[(6 + E^3 - x)*Log[x - Log[4 + 4*x]]])/x)*(-6*x^2 - 5*x^3 + x^4 + E^3*(-x^2 - x^3) + (6*x + 5*x^2 - x^3 + E^3*(x + x^2))*Log[4 + 4*x])*Log[x - Log[4 + 4*x]]),x]","e x \left(\left(-x+e^3+6\right) \log (x-\log (4 x+4))\right)^{-1/x}","x \exp \left(-\frac{\log \left(\left(-x+e^3+6\right) \log (x-\log (4 (x+1)))\right)-x}{x}\right)",1,"(E*x)/((6 + E^3 - x)*Log[x - Log[4 + 4*x]])^x^(-1)","A",1
7003,1,15,16,0.0039473,"\int e^{-26-x} \left(-4 e^x+e^{26+x} \left(2 x-3 x^2\right)\right) \, dx","Integrate[E^(-26 - x)*(-4*E^x + E^(26 + x)*(2*x - 3*x^2)),x]","-x^3+x^2-\frac{4 x}{e^{26}}","x^2-x \left(x^2+\frac{4}{e^{26}}\right)",1,"(-4*x)/E^26 + x^2 - x^3","A",1
7004,1,28,27,0.1089672,"\int \frac{-80 x+e^x \left(1064-912 x+270 x^2-27 x^3\right)}{-1000+900 x-270 x^2+27 x^3} \, dx","Integrate[(-80*x + E^x*(1064 - 912*x + 270*x^2 - 27*x^3))/(-1000 + 900*x - 270*x^2 + 27*x^3),x]","\frac{4 x^2+e^x \left(-9 x^2+60 x-104\right)}{(10-3 x)^2}","-\frac{e^x-x^2}{\left(5-\frac{3 x}{2}\right)^2}-e^x+5",1,"(4*x^2 + E^x*(-104 + 60*x - 9*x^2))/(10 - 3*x)^2","A",1
7005,1,15,15,0.002141,"\int \frac{3 e^8+x^4+12 x^7}{x^4} \, dx","Integrate[(3*E^8 + x^4 + 12*x^7)/x^4,x]","3 x^4-\frac{e^8}{x^3}+x","3 x^4-\frac{e^8}{x^3}+x",1,"-(E^8/x^3) + x + 3*x^4","A",1
7006,1,63,23,0.13644,"\int \frac{\left(-20+100 x-180 x^4+100 x^5\right) \log \left(x^2\right)+\left(40+40 x^4\right) \log \left(\frac{e^{5 x}}{x+2 x^5+x^9}\right)}{x+x^5} \, dx","Integrate[((-20 + 100*x - 180*x^4 + 100*x^5)*Log[x^2] + (40 + 40*x^4)*Log[E^(5*x)/(x + 2*x^5 + x^9)])/(x + x^5),x]","20 \left(\log \left(x^2\right) \left(\log \left(\frac{1}{x \left(x^4+1\right)^2}\right)+5 x\right)-2 \log (x) \left(\log \left(\frac{1}{x \left(x^4+1\right)^2}\right)-\log \left(\frac{e^{5 x}}{x \left(x^4+1\right)^2}\right)+5 x\right)\right)","20 \log \left(x^2\right) \log \left(\frac{e^{5 x}}{x \left(x^4+1\right)^2}\right)",1,"20*(Log[x^2]*(5*x + Log[1/(x*(1 + x^4)^2)]) - 2*Log[x]*(5*x + Log[1/(x*(1 + x^4)^2)] - Log[E^(5*x)/(x*(1 + x^4)^2)]))","B",1
7007,1,23,24,0.1914514,"\int \frac{x^{11}-2 x^6 \log (x)+x \log ^2(x)+\exp \left(\frac{-256 x^5-81 x^6+81 \log (2)+(256+81 x) \log (x)}{-81 x^5+81 \log (x)}\right) \left(-x^{11}+\left(1-5 x^5\right) \log (2)+2 x^6 \log (x)-x \log ^2(x)\right)}{x^{11}-2 x^6 \log (x)+x \log ^2(x)} \, dx","Integrate[(x^11 - 2*x^6*Log[x] + x*Log[x]^2 + E^((-256*x^5 - 81*x^6 + 81*Log[2] + (256 + 81*x)*Log[x])/(-81*x^5 + 81*Log[x]))*(-x^11 + (1 - 5*x^5)*Log[2] + 2*x^6*Log[x] - x*Log[x]^2))/(x^11 - 2*x^6*Log[x] + x*Log[x]^2),x]","x-e^{x+\frac{256}{81}} 2^{\frac{1}{\log (x)-x^5}}","x-e^{\frac{\log (2)}{\log (x)-x^5}+x+\frac{256}{81}}",1,"-(2^(-x^5 + Log[x])^(-1)*E^(256/81 + x)) + x","A",1
7008,1,41,32,0.3363113,"\int \frac{3+e^{25}-x+e^{1+x} \left(9+e^{50} (1-x)-15 x+7 x^2-x^3+e^{25} \left(6-8 x+2 x^2\right)\right)+\left(-3-e^{25}+2 x\right) \log (x)+\left(9 x+e^{50} x-6 x^2+x^3+e^{25} \left(6 x-2 x^2\right)+e^{1+x} \left(-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right)+\left(3+e^{25}-x\right) \log (x)\right) \log \left(\frac{3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left(-3-e^{25}+x\right)+\log (x)}\right) \log \left(\log \left(\frac{3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left(-3-e^{25}+x\right)+\log (x)}\right)\right)}{\left(9 x+e^{50} x-6 x^2+x^3+e^{25} \left(6 x-2 x^2\right)+e^{1+x} \left(-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right)+\left(3+e^{25}-x\right) \log (x)\right) \log \left(\frac{3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left(-3-e^{25}+x\right)+\log (x)}\right) \log ^2\left(\log \left(\frac{3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left(-3-e^{25}+x\right)+\log (x)}\right)\right)} \, dx","Integrate[(3 + E^25 - x + E^(1 + x)*(9 + E^50*(1 - x) - 15*x + 7*x^2 - x^3 + E^25*(6 - 8*x + 2*x^2)) + (-3 - E^25 + 2*x)*Log[x] + (9*x + E^50*x - 6*x^2 + x^3 + E^25*(6*x - 2*x^2) + E^(1 + x)*(-9 - E^50 + 6*x - x^2 + E^25*(-6 + 2*x)) + (3 + E^25 - x)*Log[x])*Log[(3*x + E^25*x - x^2)/(3*x + E^25*x - x^2 + E^(1 + x)*(-3 - E^25 + x) + Log[x])]*Log[Log[(3*x + E^25*x - x^2)/(3*x + E^25*x - x^2 + E^(1 + x)*(-3 - E^25 + x) + Log[x])]])/((9*x + E^50*x - 6*x^2 + x^3 + E^25*(6*x - 2*x^2) + E^(1 + x)*(-9 - E^50 + 6*x - x^2 + E^25*(-6 + 2*x)) + (3 + E^25 - x)*Log[x])*Log[(3*x + E^25*x - x^2)/(3*x + E^25*x - x^2 + E^(1 + x)*(-3 - E^25 + x) + Log[x])]*Log[Log[(3*x + E^25*x - x^2)/(3*x + E^25*x - x^2 + E^(1 + x)*(-3 - E^25 + x) + Log[x])]]^2),x]","\frac{x}{\log \left(\log \left(\frac{x \left(x-e^{25}-3\right)}{\left(-x+e^{25}+3\right) \left(e^{x+1}-x\right)-\log (x)}\right)\right)}","\frac{x}{\log \left(\log \left(\frac{x}{x-e^{x+1}+\frac{\log (x)}{-x+e^{25}+3}}\right)\right)}",1,"x/Log[Log[(x*(-3 - E^25 + x))/((3 + E^25 - x)*(E^(1 + x) - x) - Log[x])]]","A",1
7009,1,19,27,0.1867051,"\int \frac{1+x^2+e^x \left(2 x^2+x^3\right)+\left(-1+x^2+e^x \left(x+x^2\right)\right) \log \left(\frac{1-x^2+e^x \left(-x-x^2\right)}{x}\right)}{-1+x^2+e^x \left(x+x^2\right)} \, dx","Integrate[(1 + x^2 + E^x*(2*x^2 + x^3) + (-1 + x^2 + E^x*(x + x^2))*Log[(1 - x^2 + E^x*(-x - x^2))/x])/(-1 + x^2 + E^x*(x + x^2)),x]","x \log \left(-\frac{(x+1) \left(e^x x+x-1\right)}{x}\right)","x \log \left(\frac{-e^x x^2-e^x x+1}{x}-x\right)",1,"x*Log[-(((1 + x)*(-1 + x + E^x*x))/x)]","A",1
7010,1,22,22,0.0357543,"\int \frac{e^{1-e^2-x+4 \log ^2\left(\frac{x}{e^3}\right)} \left(-x+8 \log \left(\frac{x}{e^3}\right)\right)}{x} \, dx","Integrate[(E^(1 - E^2 - x + 4*Log[x/E^3]^2)*(-x + 8*Log[x/E^3]))/x,x]","\frac{e^{-x+4 \log ^2(x)-e^2+37}}{x^{24}}","e^{-x+4 \log ^2\left(\frac{x}{e^3}\right)-e^2+1}",1,"E^(37 - E^2 - x + 4*Log[x]^2)/x^24","A",1
7011,1,27,27,0.0997878,"\int \frac{e^x x^2 (i \pi +\log (2))-2 e^x (i \pi +\log (2)) \log (x)+\log \left(4 e^{2/x}\right) \left(e^x x (i \pi +\log (2))+e^x x^2 (i \pi +\log (2)) \log (x)\right)}{x^2} \, dx","Integrate[(E^x*x^2*(I*Pi + Log[2]) - 2*E^x*(I*Pi + Log[2])*Log[x] + Log[4*E^(2/x)]*(E^x*x*(I*Pi + Log[2]) + E^x*x^2*(I*Pi + Log[2])*Log[x]))/x^2,x]","e^x (\log (2)+i \pi ) \left(\log \left(4 e^{2/x}\right) \log (x)+1\right)","e^x (\log (2)+i \pi ) \left(\log \left(4 e^{2/x}\right) \log (x)+1\right)",1,"E^x*(I*Pi + Log[2])*(1 + Log[4*E^(2/x)]*Log[x])","A",1
7012,1,22,22,0.0422426,"\int \left(2+e^{12 e^{\frac{4-x}{x}}} \left(-192 e^{\frac{4-x}{x}}+8 x\right)\right) \, dx","Integrate[2 + E^(12*E^((4 - x)/x))*(-192*E^((4 - x)/x) + 8*x),x]","4 e^{12 e^{\frac{4}{x}-1}} x^2+2 x","x \left(4 e^{12 e^{\frac{4-x}{x}}} x+2\right)",1,"2*x + 4*E^(12*E^(-1 + 4/x))*x^2","A",1
7013,1,38,29,0.0053876,"\int \frac{1+2 e^3-x+x^2+2 x^3+3 x^5+\left(x-x^3\right) \log (5)-2 \log (x)}{x^3} \, dx","Integrate[(1 + 2*E^3 - x + x^2 + 2*x^3 + 3*x^5 + (x - x^3)*Log[5] - 2*Log[x])/x^3,x]","x^3-\frac{e^3}{x^2}+\frac{\log (x)}{x^2}+2 x+\frac{1}{x}-x \log (5)+\log (x)-\frac{\log (5)}{x}","\left(x+\frac{1}{x}\right) \left(x^2-\frac{e^3}{x}+\frac{\log (x)}{x}+1-\log (5)\right)",1,"-(E^3/x^2) + x^(-1) + 2*x + x^3 - Log[5]/x - x*Log[5] + Log[x] + Log[x]/x^2","A",1
7014,1,49,36,0.110307,"\int \frac{-25+20 x^2+\left(5 x-4 x^3\right) \log (5)+\left(20 x^2-4 x^3 \log (5)\right) \log ^2(x)+(-5+x \log (5)) \log \left(\frac{5-x \log (5)}{\log (5)}\right)+\log (x) \left(-25-20 x^2+\left(4 x+4 x^3\right) \log (5)+(-5+x \log (5)) \log \left(\frac{5-x \log (5)}{\log (5)}\right)\right)}{\left(60 x^2-20 e^3 x^2+20 x^3+\left(-12 x^3+4 e^3 x^3-4 x^4\right) \log (5)\right) \log ^2(x)+\log (x) \left(25 x-20 x^3+\left(-5 x^2+4 x^4\right) \log (5)+\left(5 x-x^2 \log (5)\right) \log \left(\frac{5-x \log (5)}{\log (5)}\right)\right)} \, dx","Integrate[(-25 + 20*x^2 + (5*x - 4*x^3)*Log[5] + (20*x^2 - 4*x^3*Log[5])*Log[x]^2 + (-5 + x*Log[5])*Log[(5 - x*Log[5])/Log[5]] + Log[x]*(-25 - 20*x^2 + (4*x + 4*x^3)*Log[5] + (-5 + x*Log[5])*Log[(5 - x*Log[5])/Log[5]]))/((60*x^2 - 20*E^3*x^2 + 20*x^3 + (-12*x^3 + 4*E^3*x^3 - 4*x^4)*Log[5])*Log[x]^2 + Log[x]*(25*x - 20*x^3 + (-5*x^2 + 4*x^4)*Log[5] + (5*x - x^2*Log[5])*Log[(5 - x*Log[5])/Log[5]])),x]","\log \left(-4 x^2+4 x^2 \log (x)-4 e^3 x \log (x)+12 x \log (x)+\log \left(\frac{5}{\log (5)}-x\right)+5\right)-\log (x)-\log (\log (x))","\log \left(-x+\frac{x-\frac{\log \left(\frac{5}{\log (5)}-x\right)+5}{4 x}}{\log (x)}+e^3-3\right)",1,"-Log[x] - Log[Log[x]] + Log[5 - 4*x^2 + 12*x*Log[x] - 4*E^3*x*Log[x] + 4*x^2*Log[x] + Log[-x + 5/Log[5]]]","A",1
7015,1,9,23,0.005572,"\int \frac{1-2 x+2 x^2+x^4}{1+2 x^2+x^4} \, dx","Integrate[(1 - 2*x + 2*x^2 + x^4)/(1 + 2*x^2 + x^4),x]","\frac{1}{x^2+1}+x","\frac{1}{x^2+1}+x-3-\log ^2(\log (2)+i \pi )",1,"x + (1 + x^2)^(-1)","A",1
7016,1,40,28,0.0512075,"\int \frac{\left(-864-288 x^2-336 x^4+256 x^6+64 x^8+16 x^{10}\right) \log \left(\frac{9+6 x^2+2 x^4+x^6}{6 x+2 x^3+x^5}\right)}{54 x+54 x^3+33 x^5+16 x^7+4 x^9+x^{11}+\left(216 x+216 x^3+132 x^5+64 x^7+16 x^9+4 x^{11}\right) \log ^2\left(\frac{9+6 x^2+2 x^4+x^6}{6 x+2 x^3+x^5}\right)} \, dx","Integrate[((-864 - 288*x^2 - 336*x^4 + 256*x^6 + 64*x^8 + 16*x^10)*Log[(9 + 6*x^2 + 2*x^4 + x^6)/(6*x + 2*x^3 + x^5)])/(54*x + 54*x^3 + 33*x^5 + 16*x^7 + 4*x^9 + x^11 + (216*x + 216*x^3 + 132*x^5 + 64*x^7 + 16*x^9 + 4*x^11)*Log[(9 + 6*x^2 + 2*x^4 + x^6)/(6*x + 2*x^3 + x^5)]^2),x]","2 \log \left(4 \log ^2\left(\frac{x^6+2 x^4+6 x^2+9}{x^5+2 x^3+6 x}\right)+1\right)","2 \log \left(\log ^2\left(\frac{9}{\left(\left(x^2+1\right)^2+5\right) x}+x\right)+\frac{1}{4}\right)",1,"2*Log[1 + 4*Log[(9 + 6*x^2 + 2*x^4 + x^6)/(6*x + 2*x^3 + x^5)]^2]","A",1
7017,1,23,25,0.279894,"\int \frac{4^{-\frac{1}{x^4}} \left(16+3 x-64 x^2+64 x^4\right)^{\frac{1}{x^4}} \left(12 x-512 x^2+1024 x^4+\left(-256-48 x+1024 x^2-1024 x^4\right) \log \left(\frac{1}{4} \left(16+3 x-64 x^2+64 x^4\right)\right)\right)}{16 x^5+3 x^6-64 x^7+64 x^9} \, dx","Integrate[((16 + 3*x - 64*x^2 + 64*x^4)^x^(-4)*(12*x - 512*x^2 + 1024*x^4 + (-256 - 48*x + 1024*x^2 - 1024*x^4)*Log[(16 + 3*x - 64*x^2 + 64*x^4)/4]))/(4^x^(-4)*(16*x^5 + 3*x^6 - 64*x^7 + 64*x^9)),x]","4 \left(16 x^4-16 x^2+\frac{3 x}{4}+4\right)^{\frac{1}{x^4}}","4 \left(\frac{1}{4} \left(\left(4-8 x^2\right)^2-x\right)+x\right)^{\frac{1}{x^4}}",1,"4*(4 + (3*x)/4 - 16*x^2 + 16*x^4)^x^(-4)","A",1
7018,1,11,14,0.0506507,"\int \frac{30+e^{2 x}+e^x (11-x)}{25+10 e^x+e^{2 x}} \, dx","Integrate[(30 + E^(2*x) + E^x*(11 - x))/(25 + 10*E^x + E^(2*x)),x]","\frac{x}{e^x+5}+x","\frac{x}{e^x+5}+x+\frac{35}{8}",1,"x + x/(5 + E^x)","A",1
7019,1,33,28,0.7393189,"\int \frac{\exp \left(-9-12 e^{\frac{x+4 \log (4)}{\log (4)}}-4 e^{\frac{2 (x+4 \log (4))}{\log (4)}}+x\right) \left(-24 e^{\frac{x+4 \log (4)}{\log (4)}} x-16 e^{\frac{2 (x+4 \log (4))}{\log (4)}} x+(2+2 x) \log (4)\right)}{\log (4)} \, dx","Integrate[(E^(-9 - 12*E^((x + 4*Log[4])/Log[4]) - 4*E^((2*(x + 4*Log[4]))/Log[4]) + x)*(-24*E^((x + 4*Log[4])/Log[4])*x - 16*E^((2*(x + 4*Log[4]))/Log[4])*x + (2 + 2*x)*Log[4]))/Log[4],x]","2 x e^{x-12 e^{\frac{x}{\log (4)}+4}-4 e^{\frac{2 x}{\log (4)}+8}-9}","2 x e^{x-\left(\log \left(e^{2 e^{\frac{x}{\log (4)}+4}}\right)+3\right)^2}",1,"2*E^(-9 - 12*E^(4 + x/Log[4]) - 4*E^(8 + (2*x)/Log[4]) + x)*x","A",1
7020,1,16,21,0.0491102,"\int \frac{\left(2-e^x x\right) \log (x)+\log \left(-3 e^{-e^x} x^2\right)}{x} \, dx","Integrate[((2 - E^x*x)*Log[x] + Log[(-3*x^2)/E^E^x])/x,x]","\log (x) \log \left(-3 e^{-e^x} x^2\right)","\log (x) \log \left(3 e^{-e^x} (x-x (x+1))\right)",1,"Log[x]*Log[(-3*x^2)/E^E^x]","A",1
7021,1,21,27,0.2410985,"\int \frac{x^2+e^{e^{\frac{-1-e-x+\log (5)}{x}}+\frac{-1-e-x+\log (5)}{x}} (1+e-\log (5))}{x^2} \, dx","Integrate[(x^2 + E^(E^((-1 - E - x + Log[5])/x) + (-1 - E - x + Log[5])/x)*(1 + E - Log[5]))/x^2,x]","x+e^{5^{\frac{1}{x}} e^{-\frac{x+e+1}{x}}}","e^{e^{\frac{x^2-x-e-1+\log (5)}{x}-x}}+x",1,"E^(5^x^(-1)/E^((1 + E + x)/x)) + x","A",1
7022,1,31,25,5.1413777,"\int \frac{\left(\frac{x^2}{e^3+x}\right)^{\frac{1}{36} \left(900+132 x+x^2\right)} \left(900 x+132 x^2+x^3+e^3 \left(1800+264 x+2 x^2\right)+\left(132 x^2+2 x^3+e^3 \left(132 x+2 x^2\right)\right) \log \left(\frac{x^2}{e^3+x}\right)\right)}{36 e^3 x+36 x^2} \, dx","Integrate[((x^2/(E^3 + x))^((900 + 132*x + x^2)/36)*(900*x + 132*x^2 + x^3 + E^3*(1800 + 264*x + 2*x^2) + (132*x^2 + 2*x^3 + E^3*(132*x + 2*x^2))*Log[x^2/(E^3 + x)]))/(36*E^3*x + 36*x^2),x]","\frac{x^{50} \left(\frac{x^2}{x+e^3}\right)^{\frac{1}{36} x (x+132)}}{\left(x+e^3\right)^{25}}","\left(\frac{x^2}{x+e^3}\right)^{\left(\frac{x}{6}+5\right)^2+2 x}",1,"(x^50*(x^2/(E^3 + x))^((x*(132 + x))/36))/(E^3 + x)^25","A",1
7023,1,16,20,0.1563687,"\int \frac{x^3+e^{\frac{-2 x^2+\log (4)}{x^3}} \left(2 x^2-3 \log (4)\right)}{x^4} \, dx","Integrate[(x^3 + E^((-2*x^2 + Log[4])/x^3)*(2*x^2 - 3*Log[4]))/x^4,x]","4^{\frac{1}{x^3}} e^{-2/x}+\log (x)","e^{\frac{\frac{\log (4)}{x}-2 x}{x^2}}+\log (x)+2",1,"4^x^(-3)/E^(2/x) + Log[x]","A",1
7024,1,23,23,0.4027341,"\int \frac{4+2 \log \left(x^2\right)+2 \log \left(x^2\right) \log \left(x \log \left(x^2\right)\right)-2 \log \left(x^2\right) \log \left(x \log \left(x^2\right)\right) \log \left(3 \log \left(x \log \left(x^2\right)\right)\right)}{\left(-2 x-3 x^2\right) \log \left(x^2\right) \log \left(x \log \left(x^2\right)\right)+2 x \log \left(x^2\right) \log \left(x \log \left(x^2\right)\right) \log \left(3 \log \left(x \log \left(x^2\right)\right)\right)} \, dx","Integrate[(4 + 2*Log[x^2] + 2*Log[x^2]*Log[x*Log[x^2]] - 2*Log[x^2]*Log[x*Log[x^2]]*Log[3*Log[x*Log[x^2]]])/((-2*x - 3*x^2)*Log[x^2]*Log[x*Log[x^2]] + 2*x*Log[x^2]*Log[x*Log[x^2]]*Log[3*Log[x*Log[x^2]]]),x]","\log \left(-2 \log \left(3 \log \left(x \log \left(x^2\right)\right)\right)+3 x+2\right)-\log (x)","\log \left(\frac{2 \log \left(3 \log \left(x \log \left(x^2\right)\right)\right)}{x}-\frac{2}{x}-3\right)",1,"-Log[x] + Log[2 + 3*x - 2*Log[3*Log[x*Log[x^2]]]]","A",1
7025,1,57,20,0.0100026,"\int \frac{-1875-1496 x-450 x^2-48 x^3-3 x^4+\left(500 x+300 x^2+60 x^3+4 x^4\right) \log \left(\frac{25}{x^3}\right)}{4 x} \, dx","Integrate[(-1875 - 1496*x - 450*x^2 - 48*x^3 - 3*x^4 + (500*x + 300*x^2 + 60*x^3 + 4*x^4)*Log[25/x^3])/(4*x),x]","x^3+5 x^3 \log \left(\frac{25}{x^3}\right)+125 x \log \left(\frac{25}{x^3}\right)+\frac{1}{4} x^4 \log \left(\frac{25}{x^3}\right)+\frac{75}{2} x^2 \log \left(\frac{25}{x^3}\right)+x-\frac{1875 \log (x)}{4}","x^3+\frac{1}{4} (x+5)^4 \log \left(\frac{25}{x^3}\right)+x",1,"x + x^3 + 125*x*Log[25/x^3] + (75*x^2*Log[25/x^3])/2 + 5*x^3*Log[25/x^3] + (x^4*Log[25/x^3])/4 - (1875*Log[x])/4","B",1
7026,1,107,37,1.6584824,"\int \frac{\exp \left(\frac{16+128 x^2+16 e^8 x^2+64 x^4+e^4 \left(-32 x-64 x^3\right)+\left(-48 x^2-8 e^8 x^2-32 x^4+e^4 \left(8 x+32 x^3\right)\right) \log (3)+\left(4 x^2+e^8 x^2-4 e^4 x^3+4 x^4\right) \log ^2(3)}{16 x^2-8 x^2 \log (3)+x^2 \log ^2(3)}\right) \left(32 x^2-16 x^2 \log (3)+2 x^2 \log ^2(3)\right)+\exp \left(\frac{2 \left(16+128 x^2+16 e^8 x^2+64 x^4+e^4 \left(-32 x-64 x^3\right)+\left(-48 x^2-8 e^8 x^2-32 x^4+e^4 \left(8 x+32 x^3\right)\right) \log (3)+\left(4 x^2+e^8 x^2-4 e^4 x^3+4 x^4\right) \log ^2(3)\right)}{16 x^2-8 x^2 \log (3)+x^2 \log ^2(3)}\right) \left(-64+256 x^4+e^4 \left(64 x-128 x^3\right)+\left(-128 x^4+e^4 \left(-16 x+64 x^3\right)\right) \log (3)+\left(-8 e^4 x^3+16 x^4\right) \log ^2(3)\right)+\left(32 x^2-16 x^2 \log (3)+2 x^2 \log ^2(3)+\exp \left(\frac{16+128 x^2+16 e^8 x^2+64 x^4+e^4 \left(-32 x-64 x^3\right)+\left(-48 x^2-8 e^8 x^2-32 x^4+e^4 \left(8 x+32 x^3\right)\right) \log (3)+\left(4 x^2+e^8 x^2-4 e^4 x^3+4 x^4\right) \log ^2(3)}{16 x^2-8 x^2 \log (3)+x^2 \log ^2(3)}\right) \left(-64+256 x^4+e^4 \left(64 x-128 x^3\right)+\left(-128 x^4+e^4 \left(-16 x+64 x^3\right)\right) \log (3)+\left(-8 e^4 x^3+16 x^4\right) \log ^2(3)\right)\right) \log (x)}{144 x^3-72 x^3 \log (3)+9 x^3 \log ^2(3)} \, dx","Integrate[(E^((16 + 128*x^2 + 16*E^8*x^2 + 64*x^4 + E^4*(-32*x - 64*x^3) + (-48*x^2 - 8*E^8*x^2 - 32*x^4 + E^4*(8*x + 32*x^3))*Log[3] + (4*x^2 + E^8*x^2 - 4*E^4*x^3 + 4*x^4)*Log[3]^2)/(16*x^2 - 8*x^2*Log[3] + x^2*Log[3]^2))*(32*x^2 - 16*x^2*Log[3] + 2*x^2*Log[3]^2) + E^((2*(16 + 128*x^2 + 16*E^8*x^2 + 64*x^4 + E^4*(-32*x - 64*x^3) + (-48*x^2 - 8*E^8*x^2 - 32*x^4 + E^4*(8*x + 32*x^3))*Log[3] + (4*x^2 + E^8*x^2 - 4*E^4*x^3 + 4*x^4)*Log[3]^2))/(16*x^2 - 8*x^2*Log[3] + x^2*Log[3]^2))*(-64 + 256*x^4 + E^4*(64*x - 128*x^3) + (-128*x^4 + E^4*(-16*x + 64*x^3))*Log[3] + (-8*E^4*x^3 + 16*x^4)*Log[3]^2) + (32*x^2 - 16*x^2*Log[3] + 2*x^2*Log[3]^2 + E^((16 + 128*x^2 + 16*E^8*x^2 + 64*x^4 + E^4*(-32*x - 64*x^3) + (-48*x^2 - 8*E^8*x^2 - 32*x^4 + E^4*(8*x + 32*x^3))*Log[3] + (4*x^2 + E^8*x^2 - 4*E^4*x^3 + 4*x^4)*Log[3]^2)/(16*x^2 - 8*x^2*Log[3] + x^2*Log[3]^2))*(-64 + 256*x^4 + E^4*(64*x - 128*x^3) + (-128*x^4 + E^4*(-16*x + 64*x^3))*Log[3] + (-8*E^4*x^3 + 16*x^4)*Log[3]^2))*Log[x])/(144*x^3 - 72*x^3*Log[3] + 9*x^3*Log[3]^2),x]","\frac{1}{9} \exp \left(-\frac{8 \left(e^4 x (\log (3)-4)+e^8+8\right)}{\log (3)-4}\right) \left(3^{\frac{4+e^8}{\log (3)-4}} \exp \left(\frac{4 \left(x^4 (\log (3)-4)^2+e^4 x (\log (9)-8)+4\right)}{x^2 (\log (3)-4)^2}\right)+\log (x) \exp \left(\frac{4 \left(e^4 x (\log (3)-4)+e^8+8\right)}{\log (3)-4}\right)\right)^2","\frac{1}{9} \left(\log (x)+e^{\left(2 x+\frac{4}{x (4-\log (3))}-e^4\right)^2+4}\right)^2",1,"(3^((4 + E^8)/(-4 + Log[3]))*E^((4*(4 + x^4*(-4 + Log[3])^2 + E^4*x*(-8 + Log[9])))/(x^2*(-4 + Log[3])^2)) + E^((4*(8 + E^8 + E^4*x*(-4 + Log[3])))/(-4 + Log[3]))*Log[x])^2/(9*E^((8*(8 + E^8 + E^4*x*(-4 + Log[3])))/(-4 + Log[3])))","B",0
7027,1,80,27,0.0157907,"\int \frac{-4 x^3-\left(2 x^2-2 x^4\right) \log \left(\frac{4}{3}\right)+2 \log \left(\frac{4}{3}\right) \log (x)-2 \log \left(\frac{4}{3}\right) \log ^2(x)}{x^3} \, dx","Integrate[(-4*x^3 - (2*x^2 - 2*x^4)*Log[4/3] + 2*Log[4/3]*Log[x] - 2*Log[4/3]*Log[x]^2)/x^3,x]","\frac{\log \left(\frac{4}{3}\right) \log ^2(x)}{x^2}+\frac{1}{2} x^2 \log \left(\frac{16}{9}\right)-\frac{\log \left(\frac{16}{9}\right) \log (x)}{2 x^2}+\frac{\log \left(\frac{4}{3}\right) \log (x)}{x^2}-\frac{\log \left(\frac{16}{9}\right)}{4 x^2}+\frac{\log \left(\frac{4}{3}\right)}{2 x^2}-4 x-2 \log \left(\frac{4}{3}\right) \log (x)","4 \left(-x+\frac{1}{4} \log \left(\frac{4}{3}\right) \left(\frac{\log (x)}{x}-x\right)^2+1\right)",1,"-4*x + Log[4/3]/(2*x^2) - Log[16/9]/(4*x^2) + (x^2*Log[16/9])/2 - 2*Log[4/3]*Log[x] + (Log[4/3]*Log[x])/x^2 - (Log[16/9]*Log[x])/(2*x^2) + (Log[4/3]*Log[x]^2)/x^2","B",1
7028,1,13,13,0.035879,"\int \frac{-6 x^3+4 x^3 \log \left(x^3\right)}{9 \log ^3\left(x^3\right)} \, dx","Integrate[(-6*x^3 + 4*x^3*Log[x^3])/(9*Log[x^3]^3),x]","\frac{x^4}{9 \log ^2\left(x^3\right)}","\frac{x^4}{9 \log ^2\left(x^3\right)}",1,"x^4/(9*Log[x^3]^2)","A",1
7029,1,17,15,0.0114786,"\int \frac{-5+4 e^{-2 x} (-1+2 x)}{\log (15)} \, dx","Integrate[(-5 + (4*(-1 + 2*x))/E^(2*x))/Log[15],x]","\frac{-4 e^{-2 x} x-5 x}{\log (15)}","\frac{\left(-4 e^{-2 x}-5\right) x}{\log (15)}",1,"(-5*x - (4*x)/E^(2*x))/Log[15]","A",1
7030,1,38,21,0.1748632,"\int \frac{-8 x^2-6 x^3+e \left(2 x+6 x^2\right)+e^{x^2} \left(6 e x^2-6 x^3\right)+\left(-2 x^2+2 e x^2-2 x^3+e^{x^2} \left(2 e x^2-2 x^3\right)\right) \log (x)+\left(-8 x-6 x^2+e (2+6 x)+\left(-2 x+2 e x-2 x^2\right) \log (x)\right) \log (-3 e+3 x+(-e+x) \log (x))}{3 e x-3 x^2+\left(e x-x^2\right) \log (x)} \, dx","Integrate[(-8*x^2 - 6*x^3 + E*(2*x + 6*x^2) + E^x^2*(6*E*x^2 - 6*x^3) + (-2*x^2 + 2*E*x^2 - 2*x^3 + E^x^2*(2*E*x^2 - 2*x^3))*Log[x] + (-8*x - 6*x^2 + E*(2 + 6*x) + (-2*x + 2*E*x - 2*x^2)*Log[x])*Log[-3*E + 3*x + (-E + x)*Log[x]])/(3*E*x - 3*x^2 + (E*x - x^2)*Log[x]),x]","x^2+e^{x^2}+\log ^2(-((e-x) (\log (x)+3)))+2 x \log (-((e-x) (\log (x)+3)))","e^{x^2}+(x+\log ((x-e) (\log (x)+3)))^2",1,"E^x^2 + x^2 + 2*x*Log[-((E - x)*(3 + Log[x]))] + Log[-((E - x)*(3 + Log[x]))]^2","A",1
7031,1,36,35,0.29956,"\int \frac{\exp \left(\exp \left(e^{\frac{2+x^2-x^3+\left(-x+x^2\right) \log (4 x)}{-x+x^2}} x\right)+e^{\frac{2+x^2-x^3+\left(-x+x^2\right) \log (4 x)}{-x+x^2}} x+\frac{2+x^2-x^3+\left(-x+x^2\right) \log (4 x)}{-x+x^2}\right) \left(2-2 x-5 x^2+4 x^3-x^4+e^5 \left(2-2 x-5 x^2+4 x^3-x^4\right)\right)}{4 x-8 x^2+4 x^3} \, dx","Integrate[(E^(E^(E^((2 + x^2 - x^3 + (-x + x^2)*Log[4*x])/(-x + x^2))*x) + E^((2 + x^2 - x^3 + (-x + x^2)*Log[4*x])/(-x + x^2))*x + (2 + x^2 - x^3 + (-x + x^2)*Log[4*x])/(-x + x^2))*(2 - 2*x - 5*x^2 + 4*x^3 - x^4 + E^5*(2 - 2*x - 5*x^2 + 4*x^3 - x^4)))/(4*x - 8*x^2 + 4*x^3),x]","\frac{1}{4} \left(1+e^5\right) e^{e^{4 e^{-x+\frac{2}{x-1}-\frac{2}{x}} x^2}}","\frac{1}{4} \left(1+e^5\right) e^{e^{4 e^{-\frac{2}{x-x^2}-x} x^2}}",1,"(E^E^(4*E^(2/(-1 + x) - 2/x - x)*x^2)*(1 + E^5))/4","A",1
7032,1,9,9,0.0258804,"\int e^{4 x+x^2} (4+2 x) \, dx","Integrate[E^(4*x + x^2)*(4 + 2*x),x]","e^{x^2+4 x}","e^{x^2+4 x}",1,"E^(4*x + x^2)","A",1
7033,1,44,33,0.0516547,"\int \frac{6+2 x-47 x^2+93 x^3-56 x^4+13 x^5-x^6+e^x \left(-9 x^2+6 x^3-x^4\right)}{6 x-2 x^2+45 x^3-39 x^4+11 x^5-x^6+e^x \left(9 x^3-6 x^4+x^5\right)} \, dx","Integrate[(6 + 2*x - 47*x^2 + 93*x^3 - 56*x^4 + 13*x^5 - x^6 + E^x*(-9*x^2 + 6*x^3 - x^4))/(6*x - 2*x^2 + 45*x^3 - 39*x^4 + 11*x^5 - x^6 + E^x*(9*x^3 - 6*x^4 + x^5)),x]","-\log \left(x^4-e^x x^3-8 x^3+3 e^x x^2+15 x^2+2\right)+x+\log (3-x)+\log (x)","\log \left(\frac{e^x}{5 \left(\frac{2}{(3-x) x^2}-x+e^x+5\right) x}\right)",1,"x + Log[3 - x] + Log[x] - Log[2 + 15*x^2 + 3*E^x*x^2 - 8*x^3 - E^x*x^3 + x^4]","A",1
7034,1,22,22,0.2867133,"\int \frac{9+4 e^3+e^{2 e}+e^e \left(6+4 e^3-2 x\right)-6 x+x^2+\left(6+4 e^3+2 e^e-2 x\right) \log \left(x^2\right)+\log ^2\left(x^2\right)}{9+e^{2 e}+e^e (6-2 x)-6 x+x^2+\left(6+2 e^e-2 x\right) \log \left(x^2\right)+\log ^2\left(x^2\right)} \, dx","Integrate[(9 + 4*E^3 + E^(2*E) + E^E*(6 + 4*E^3 - 2*x) - 6*x + x^2 + (6 + 4*E^3 + 2*E^E - 2*x)*Log[x^2] + Log[x^2]^2)/(9 + E^(2*E) + E^E*(6 - 2*x) - 6*x + x^2 + (6 + 2*E^E - 2*x)*Log[x^2] + Log[x^2]^2),x]","\frac{4 e^3 x}{\log \left(x^2\right)-x+e^e+3}+x","\frac{4 e^3 x}{\log \left(x^2\right)-x+e^e+3}+x",1,"x + (4*E^3*x)/(3 + E^E - x + Log[x^2])","A",1
7035,1,118,28,0.0689702,"\int \frac{e^{2 e^4} x^2-10 e^{3 e^4} x^2+25 e^{4 e^4} x^2-2 x \log (36)+10 e^{e^4} x \log (36)}{e^{4 e^4} x^2-10 e^{5 e^4} x^2+25 e^{6 e^4} x^2-2 e^{2 e^4} x \log (36)+10 e^{3 e^4} x \log (36)+\log ^2(36)} \, dx","Integrate[(E^(2*E^4)*x^2 - 10*E^(3*E^4)*x^2 + 25*E^(4*E^4)*x^2 - 2*x*Log[36] + 10*E^E^4*x*Log[36])/(E^(4*E^4)*x^2 - 10*E^(5*E^4)*x^2 + 25*E^(6*E^4)*x^2 - 2*E^(2*E^4)*x*Log[36] + 10*E^(3*E^4)*x*Log[36] + Log[36]^2),x]","\frac{e^{-4 e^4} \left(5 e^{e^4}-1\right) \left(25 e^{6 e^4} x^2-10 e^{5 e^4} x^2+e^{4 e^4} x^2+10 e^{3 e^4} x \log (36)-2 e^{2 e^4} x \log (36)+\log (36) \log (1296)\right)}{\left(1-5 e^{e^4}\right)^2 \left(5 e^{3 e^4} x-e^{2 e^4} x+\log (36)\right)}","\frac{x}{e^{2 e^4}-\frac{\log (36)}{x-5 e^{e^4} x}}",1,"((-1 + 5*E^E^4)*(E^(4*E^4)*x^2 - 10*E^(5*E^4)*x^2 + 25*E^(6*E^4)*x^2 - 2*E^(2*E^4)*x*Log[36] + 10*E^(3*E^4)*x*Log[36] + Log[36]*Log[1296]))/(E^(4*E^4)*(1 - 5*E^E^4)^2*(-(E^(2*E^4)*x) + 5*E^(3*E^4)*x + Log[36]))","B",1
7036,1,20,20,0.0271237,"\int \frac{-12+10 e^{16}+10 x^2}{\left(-6 x+5 e^{16} x-5 x^3\right) \log ^2\left(\frac{6-5 e^{16}+5 x^2}{5 x}\right)} \, dx","Integrate[(-12 + 10*E^16 + 10*x^2)/((-6*x + 5*E^16*x - 5*x^3)*Log[(6 - 5*E^16 + 5*x^2)/(5*x)]^2),x]","\frac{2}{\log \left(x+\frac{\frac{6}{5}-e^{16}}{x}\right)}","\frac{2}{\log \left(x+\frac{\frac{6}{5}-e^{16}}{x}\right)}",1,"2/Log[(6/5 - E^16)/x + x]","A",1
7037,1,35,29,0.0397958,"\int \frac{e^{\frac{2-x}{x}} (16-8 x)+e^{\frac{2 (2-x)}{x}} (-4+x)+29 x+10 x^2+3 x^3}{x} \, dx","Integrate[(E^((2 - x)/x)*(16 - 8*x) + E^((2*(2 - x))/x)*(-4 + x) + 29*x + 10*x^2 + 3*x^3)/x,x]","x^3+5 x^2-8 e^{\frac{2}{x}-1} x+e^{\frac{4}{x}-2} x+29 x","x \left(\left(4-e^{\frac{2-x}{x}}\right)^2+(x+3)^2-x+4\right)",1,"29*x - 8*E^(-1 + 2/x)*x + E^(-2 + 4/x)*x + 5*x^2 + x^3","A",1
7038,1,59,24,0.1032643,"\int \frac{-14 x+84 x^3+14 x^4+\left(1-12 x^2-2 x^3\right) \log (3)+(7 x-\log (3)) \log (-7 x+\log (3))}{-7 x^3+x^2 \log (3)} \, dx","Integrate[(-14*x + 84*x^3 + 14*x^4 + (1 - 12*x^2 - 2*x^3)*Log[3] + (7*x - Log[3])*Log[-7*x + Log[3]])/(-7*x^3 + x^2*Log[3]),x]","-x^2-12 x-\frac{1}{x}-\frac{2}{49} \log ^2(3) \log (7 x-\log (3))+\frac{1}{49} \log (3) \log (9) \log (7 x-\log (3))+\frac{\log (\log (3)-7 x)}{x}","-((x+11) x)-x+\frac{\log (\log (3)-7 x)-1}{x}+3",1,"-x^(-1) - 12*x - x^2 - (2*Log[3]^2*Log[7*x - Log[3]])/49 + (Log[3]*Log[9]*Log[7*x - Log[3]])/49 + Log[-7*x + Log[3]]/x","B",1
7039,1,15,20,0.0362547,"\int \frac{-2 \log ^2(x)+\frac{e^x (-2+x \log (x))}{\log ^2(x)}}{x \log (x)} \, dx","Integrate[(-2*Log[x]^2 + (E^x*(-2 + x*Log[x]))/Log[x]^2)/(x*Log[x]),x]","\frac{e^x}{\log ^2(x)}-\log ^2(x)","-\log ^2(x)+\frac{e^x}{\log ^2(x)}+e^{e^3}",1,"E^x/Log[x]^2 - Log[x]^2","A",1
7040,1,42,34,0.0501879,"\int \frac{720+720 x+364 x^2-588 x^3-48 x^4-52 x^5+24 x^6+16 x^7-4 x^8+\left(1200 x+1512 x^2-732 x^3+368 x^4+60 x^5-40 x^6-40 x^7+8 x^8\right) \log (x)}{3600 x-2400 x^2+40 x^3-480 x^4+89 x^5+190 x^6-9 x^7+4 x^8-9 x^9-2 x^{10}+x^{11}} \, dx","Integrate[(720 + 720*x + 364*x^2 - 588*x^3 - 48*x^4 - 52*x^5 + 24*x^6 + 16*x^7 - 4*x^8 + (1200*x + 1512*x^2 - 732*x^3 + 368*x^4 + 60*x^5 - 40*x^6 - 40*x^7 + 8*x^8)*Log[x])/(3600*x - 2400*x^2 + 40*x^3 - 480*x^4 + 89*x^5 + 190*x^6 - 9*x^7 + 4*x^8 - 9*x^9 - 2*x^10 + x^11),x]","-\frac{4 \left(x^3-3 x^2-4 x-3\right) \log (x)}{x^5-x^4-5 x^3-3 x^2-20 x+60}","\frac{\left(x \left(x+\frac{5}{3-x}\right)+1\right) \log (x)}{5-\frac{1}{4} x^2 (x+1)^2}",1,"(-4*(-3 - 4*x - 3*x^2 + x^3)*Log[x])/(60 - 20*x - 3*x^2 - 5*x^3 - x^4 + x^5)","A",1
7041,1,18,15,0.0256275,"\int \frac{3+9 x-3 x \log \left(x^3\right)}{x \log ^2\left(x^3\right)} \, dx","Integrate[(3 + 9*x - 3*x*Log[x^3])/(x*Log[x^3]^2),x]","-\frac{3 x}{\log \left(x^3\right)}-\frac{1}{\log \left(x^3\right)}","2-\frac{3 x+1}{\log \left(x^3\right)}",1,"-Log[x^3]^(-1) - (3*x)/Log[x^3]","A",1
7042,1,57,30,0.0058904,"\int \frac{217500+1064450 x+1250 e^{16} x+95700 x^2+1936 x^3+e^8 \left(-7500-72500 x-3300 x^2\right)}{5625} \, dx","Integrate[(217500 + 1064450*x + 1250*E^16*x + 95700*x^2 + 1936*x^3 + E^8*(-7500 - 72500*x - 3300*x^2))/5625,x]","\frac{2 \left(242 x^4-550 e^8 x^3+15950 x^3+\frac{625 e^{16} x^2}{2}-18125 e^8 x^2+\frac{532225 x^2}{2}-3750 e^8 x+108750 x\right)}{5625}","x^2 \left(-\frac{x}{25}+\frac{1}{3} \left(x-e^8-1\right)+\frac{2}{x}+10\right)^2",1,"(2*(108750*x - 3750*E^8*x + (532225*x^2)/2 - 18125*E^8*x^2 + (625*E^16*x^2)/2 + 15950*x^3 - 550*E^8*x^3 + 242*x^4))/5625","A",1
7043,1,50,30,0.2638485,"\int \frac{4 e x+e \left(160 x-40 x^2\right) \log (4)+e (-16+4 x) \log (4-x)+e^{\frac{e^{\frac{x}{e}}}{4}} \left(4 e+e (80-20 x) \log (4)+e^{\frac{x}{e}} \left(20 x-5 x^2\right) \log (4)+e^{\frac{x}{e}} (-4+x) \log (4-x)\right)}{e (-16+4 x)} \, dx","Integrate[(4*E*x + E*(160*x - 40*x^2)*Log[4] + E*(-16 + 4*x)*Log[4 - x] + E^(E^(x/E)/4)*(4*E + E*(80 - 20*x)*Log[4] + E^(x/E)*(20*x - 5*x^2)*Log[4] + E^(x/E)*(-4 + x)*Log[4 - x]))/(E*(-16 + 4*x)),x]","-5 x \left(x+e^{\frac{e^{\frac{x}{e}}}{4}}\right) \log (4)+\left(x+e^{\frac{e^{\frac{x}{e}}}{4}}-4\right) \log (4-x)+4 \log (x-4)","\left(x+e^{\frac{e^{\frac{x}{e}}}{4}}\right) (\log (4-x)-5 x \log (4))+25",1,"-5*x*(E^(E^(x/E)/4) + x)*Log[4] + (-4 + E^(E^(x/E)/4) + x)*Log[4 - x] + 4*Log[-4 + x]","A",1
7044,1,21,25,5.0237743,"\int \frac{x+\left(-8-4 x+8 x^2+4 x^3\right) \log ^2\left(\frac{1+x}{x}\right)}{\left(x^2+x^3\right) \log ^2\left(\frac{1+x}{x}\right)} \, dx","Integrate[(x + (-8 - 4*x + 8*x^2 + 4*x^3)*Log[(1 + x)/x]^2)/((x^2 + x^3)*Log[(1 + x)/x]^2),x]","4 x+\frac{8}{x}+4 \log (x)+\frac{1}{\log \left(\frac{1}{x}+1\right)}","4 \left(x+\frac{2}{x}+\log (5 x)\right)+\frac{1}{\log \left(\frac{x+1}{x}\right)}-5",1,"8/x + 4*x + Log[1 + x^(-1)]^(-1) + 4*Log[x]","A",1
7045,1,72,28,0.0843514,"\int \frac{4+52 x+52 x^2-36 x^3-40 x^4+\left(20+60 x+60 x^2+20 x^3\right) \log (3)+\left(-4+24 x-12 x^2+120 x^3+\left(-20-80 x-60 x^2\right) \log (3)\right) \log \left(1-20 x+100 x^2+(10-100 x) \log (3)+25 \log ^2(3)\right)+\left(8 x-80 x^2+40 x \log (3)\right) \log ^2\left(1-20 x+100 x^2+(10-100 x) \log (3)+25 \log ^2(3)\right)}{1-10 x+5 \log (3)} \, dx","Integrate[(4 + 52*x + 52*x^2 - 36*x^3 - 40*x^4 + (20 + 60*x + 60*x^2 + 20*x^3)*Log[3] + (-4 + 24*x - 12*x^2 + 120*x^3 + (-20 - 80*x - 60*x^2)*Log[3])*Log[1 - 20*x + 100*x^2 + (10 - 100*x)*Log[3] + 25*Log[3]^2] + (8*x - 80*x^2 + 40*x*Log[3])*Log[1 - 20*x + 100*x^2 + (10 - 100*x)*Log[3] + 25*Log[3]^2]^2)/(1 - 10*x + 5*Log[3]),x]","\frac{1}{250} x \left(250 x^3+1000 x^2+1500 x+1000 x \log ^2\left((-10 x+1+\log (243))^2\right)-1000 (x+1)^2 \log \left((-10 x+1+\log (243))^2\right)+1000+32 \log ^2(243)-160 \log (3) \log (243)+1131 \log (243)-5655 \log (3)\right)","\left(2 x \log \left((5 (2 x-\log (3))-1)^2\right)-(x+1)^2\right)^2",1,"(x*(1000 + 1500*x + 1000*x^2 + 250*x^3 - 5655*Log[3] + 1131*Log[243] - 160*Log[3]*Log[243] + 32*Log[243]^2 - 1000*(1 + x)^2*Log[(1 - 10*x + Log[243])^2] + 1000*x*Log[(1 - 10*x + Log[243])^2]^2))/250","B",1
7046,1,28,19,0.0716518,"\int \frac{1}{25} \exp \left(\frac{1}{50} \left(25+6 x+6 x^2+e^5 \left(6 x+6 x^2\right)\right)\right) \left(3+6 x+e^5 (3+6 x)\right) \, dx","Integrate[(E^((25 + 6*x + 6*x^2 + E^5*(6*x + 6*x^2))/50)*(3 + 6*x + E^5*(3 + 6*x)))/25,x]","e^{\frac{3}{25} \left(1+e^5\right) x^2+\frac{3}{25} \left(1+e^5\right) x+\frac{1}{2}}","e^{\frac{3}{25} \left(1+e^5\right) x (x+1)+\frac{1}{2}}",1,"E^(1/2 + (3*(1 + E^5)*x)/25 + (3*(1 + E^5)*x^2)/25)","A",1
7047,1,27,29,0.1768148,"\int \frac{\exp \left(\frac{-1-x^2+e \left(x+x^3\right)+e^4 \left(-x^2-x^4\right)}{2 x}\right) \left(1-x^2+2 e x^3+e^4 \left(-x^2-3 x^4\right)\right)}{2 x^2} \, dx","Integrate[(E^((-1 - x^2 + E*(x + x^3) + E^4*(-x^2 - x^4))/(2*x))*(1 - x^2 + 2*E*x^3 + E^4*(-x^2 - 3*x^4)))/(2*x^2),x]","e^{-\frac{\left(x^2+1\right) \left(e^4 x^2-e x+1\right)}{2 x}}","e^{\frac{1}{2} \left(-\frac{\frac{1}{x}-e}{x}-e^4\right) \left(x^3+x\right)}",1,"E^(-1/2*((1 + x^2)*(1 - E*x + E^4*x^2))/x)","A",1
7048,1,25,28,0.3750591,"\int \frac{-270 x^2+54 x^4+e^x \left(-108 x^3+54 x^4\right)}{25-30 x^2+9 e^{2 x} x^2-60 x^3+9 x^4+36 x^5+36 x^6+e^x \left(30 x-18 x^3-36 x^4\right)} \, dx","Integrate[(-270*x^2 + 54*x^4 + E^x*(-108*x^3 + 54*x^4))/(25 - 30*x^2 + 9*E^(2*x)*x^2 - 60*x^3 + 9*x^4 + 36*x^5 + 36*x^6 + E^x*(30*x - 18*x^3 - 36*x^4)),x]","-\frac{18 x^3}{-6 x^3-3 x^2+3 e^x x+5}","\frac{3 x}{x+\frac{x-e^x-\frac{5}{3 x}}{2 x}}",1,"(-18*x^3)/(5 + 3*E^x*x - 3*x^2 - 6*x^3)","A",1
7049,1,15,16,0.0019086,"\int \frac{-18+x \log (3)-2 \log (x)}{x} \, dx","Integrate[(-18 + x*Log[3] - 2*Log[x])/x,x]","-\log ^2(x)-18 \log (x)+x \log (3)","-(\log (x)+9)^2+(x+4) \log (3)+4",1,"x*Log[3] - 18*Log[x] - Log[x]^2","A",1
7050,1,28,13,0.003462,"\int \frac{2 x+2 x^2+(2+2 x) \log \left(-\frac{x}{5 e^5}\right)}{x} \, dx","Integrate[(2*x + 2*x^2 + (2 + 2*x)*Log[-1/5*x/E^5])/x,x]","x^2-10 x+\log ^2\left(-\frac{x}{5}\right)+2 x \log \left(-\frac{x}{5}\right)-10 \log (x)","\left(x+\log \left(-\frac{x}{5 e^5}\right)\right)^2",1,"-10*x + x^2 + 2*x*Log[-1/5*x] + Log[-1/5*x]^2 - 10*Log[x]","B",1
7051,1,28,24,0.1173979,"\int \frac{120 x-40 x^2+(-960+440 x) \log (x)-640 \log ^2(x)}{x^3 \log ^2(5) \log ^2(x)-8 x^2 \log ^2(5) \log ^3(x)+16 x \log ^2(5) \log ^4(x)} \, dx","Integrate[(120*x - 40*x^2 + (-960 + 440*x)*Log[x] - 640*Log[x]^2)/(x^3*Log[5]^2*Log[x]^2 - 8*x^2*Log[5]^2*Log[x]^3 + 16*x*Log[5]^2*Log[x]^4),x]","-\frac{40 (-x+4 \log (x)+3)}{\log ^2(5) \left(x \log (x)-4 \log ^2(x)\right)}","\frac{10 \left(\frac{3}{\log (x)-\frac{x}{4}}+4\right)}{\log ^2(5) \log (x)}",1,"(-40*(3 - x + 4*Log[x]))/(Log[5]^2*(x*Log[x] - 4*Log[x]^2))","A",1
7052,1,26,28,0.1374047,"\int \left(2 x+\exp \left(e^{20}+x^4-4 x^5+6 x^6-4 x^7+x^8+e^{15} \left(4 x-4 x^2\right)+e^{10} \left(6 x^2-12 x^3+6 x^4\right)+e^5 \left(4 x^3-12 x^4+12 x^5-4 x^6\right)\right) \left(2+16 x^3-72 x^4+104 x^5-40 x^6-24 x^7+16 x^8+e^{15} \left(16-24 x-16 x^2\right)+e^{10} \left(48 x-120 x^2+24 x^3+48 x^4\right)+e^5 \left(48 x^2-168 x^3+144 x^4+24 x^5-48 x^6\right)\right)+\log (4)\right) \, dx","Integrate[2*x + E^(E^20 + x^4 - 4*x^5 + 6*x^6 - 4*x^7 + x^8 + E^15*(4*x - 4*x^2) + E^10*(6*x^2 - 12*x^3 + 6*x^4) + E^5*(4*x^3 - 12*x^4 + 12*x^5 - 4*x^6))*(2 + 16*x^3 - 72*x^4 + 104*x^5 - 40*x^6 - 24*x^7 + 16*x^8 + E^15*(16 - 24*x - 16*x^2) + E^10*(48*x - 120*x^2 + 24*x^3 + 48*x^4) + E^5*(48*x^2 - 168*x^3 + 144*x^4 + 24*x^5 - 48*x^6)) + Log[4],x]","2 e^{\left(-x^2+x+e^5\right)^4} (x+2)+x (x+\log (4))","x^2+e^{\left(-x^2+x+e^5\right)^4} (2 x+4)+x \log (4)",1,"2*E^(E^5 + x - x^2)^4*(2 + x) + x*(x + Log[4])","A",1
7053,1,25,25,0.8270912,"\int \frac{108+492 x+540 x^2+108 x^3+3^{-5+x} e^{3^{-5+x} (1+3 x)^{5-x}} (1+3 x)^{5-x} \left(15-3 x+(-1-3 x) \log \left(\frac{1}{3} (1+3 x)\right)\right)}{1+3 x} \, dx","Integrate[(108 + 492*x + 540*x^2 + 108*x^3 + 3^(-5 + x)*E^(3^(-5 + x)*(1 + 3*x)^(5 - x))*(1 + 3*x)^(5 - x)*(15 - 3*x + (-1 - 3*x)*Log[(1 + 3*x)/3]))/(1 + 3*x),x]","12 x \left(x^2+7 x+9\right)+e^{\left(x+\frac{1}{3}\right)^{5-x}}","12 x \left((x+3)^2+x\right)+e^{\left(x+\frac{1}{3}\right)^{5-x}}-5",1,"E^(1/3 + x)^(5 - x) + 12*x*(9 + 7*x + x^2)","A",1
7054,1,27,27,0.0718553,"\int \frac{e^{\frac{x^2}{-3-x^2+4 x^3}} \left(6 x^2+4 x^5+e^{-\frac{x^2}{-3-x^2+4 x^3}} \left(-9-6 x^2+24 x^3-x^4+8 x^5-16 x^6\right)\right)}{9 x+6 x^3-24 x^4+x^5-8 x^6+16 x^7} \, dx","Integrate[(E^(x^2/(-3 - x^2 + 4*x^3))*(6*x^2 + 4*x^5 + (-9 - 6*x^2 + 24*x^3 - x^4 + 8*x^5 - 16*x^6)/E^(x^2/(-3 - x^2 + 4*x^3))))/(9*x + 6*x^3 - 24*x^4 + x^5 - 8*x^6 + 16*x^7),x]","-e^{\frac{x^2}{4 x^3-x^2-3}}-\log (x)","-e^{-\frac{x}{-4 x^2+x+\frac{3}{x}}}-\log (x)+3",1,"-E^(x^2/(-3 - x^2 + 4*x^3)) - Log[x]","A",1
7055,1,77,19,0.0654464,"\int \frac{-512 x+384 x^2+184 x^3+16 x^4+\left(512-384 x-248 x^2-24 x^3\right) \log (2 x)+\left(64 x+8 x^2\right) \log ^2(2 x)}{9 x} \, dx","Integrate[(-512*x + 384*x^2 + 184*x^3 + 16*x^4 + (512 - 384*x - 248*x^2 - 24*x^3)*Log[2*x] + (64*x + 8*x^2)*Log[2*x]^2)/(9*x),x]","\frac{8}{9} \left(\frac{x^4}{2}+8 x^3-x^3 \log (2 x)+32 x^2+\frac{1}{2} x^2 \log ^2(2 x)-16 x^2 \log (2 x)+8 x \log ^2(2 x)+32 \log ^2(2 x)-64 x \log (2 x)\right)","\frac{4}{9} (x+8)^2 (\log (2 x)-x)^2",1,"(8*(32*x^2 + 8*x^3 + x^4/2 - 64*x*Log[2*x] - 16*x^2*Log[2*x] - x^3*Log[2*x] + 32*Log[2*x]^2 + 8*x*Log[2*x]^2 + (x^2*Log[2*x]^2)/2))/9","B",1
7056,1,25,25,0.1572104,"\int \frac{1}{3} e^{-2 x} \left(-2 e^{-5+e^{\frac{e^{-2 x}}{3}}+\frac{e^{-2 x}}{3}}+3 e^{25-8 x+x^2} (10-2 x)\right) \, dx","Integrate[(-2*E^(-5 + E^(1/(3*E^(2*x))) + 1/(3*E^(2*x))) + 3*E^(25 - 8*x + x^2)*(10 - 2*x))/(3*E^(2*x)),x]","e^{e^{\frac{e^{-2 x}}{3}}-5}-e^{(x-5)^2}","e^{e^{\frac{e^{-2 x}}{3}}-5}-e^{(x-5)^2}",1,"E^(-5 + E^(1/(3*E^(2*x)))) - E^(-5 + x)^2","A",1
7057,1,6,8,0.0010262,"\int \frac{-8+x}{x} \, dx","Integrate[(-8 + x)/x,x]","x-8 \log (x)","x-\log \left(x^8\right)",1,"x - 8*Log[x]","A",1
7058,1,41,32,0.0187239,"\int \frac{12-40 x+58 x^2-24 x^3+e^4 \left(-30+120 x-120 x^2\right)}{e^4 \left(3-12 x+12 x^2\right)} \, dx","Integrate[(12 - 40*x + 58*x^2 - 24*x^3 + E^4*(-30 + 120*x - 120*x^2))/(E^4*(3 - 12*x + 12*x^2)),x]","-\frac{2 \left(24 x^3-80 x^2+62 x+60 e^4 (1-2 x)^2-7\right)}{3 e^4 (16 x-8)}","2 (x+3) \left(\frac{\frac{1}{3} \left(\frac{x^2}{1-2 x}-x\right)+3}{e^4}-5\right)",1,"(-2*(-7 + 60*E^4*(1 - 2*x)^2 + 62*x - 80*x^2 + 24*x^3))/(3*E^4*(-8 + 16*x))","A",1
7059,1,14,21,0.0070937,"\int \frac{2+\left(2 x+6 x^2\right) \log (x)}{x \log (x)} \, dx","Integrate[(2 + (2*x + 6*x^2)*Log[x])/(x*Log[x]),x]","3 x^2+2 x+2 \log (\log (x))","2 x^2+(x+1)^2+\log \left(\log ^2(x)\right)+2-\log (2)",1,"2*x + 3*x^2 + 2*Log[Log[x]]","A",1
7060,1,28,23,0.0637574,"\int \frac{44-16 x+8 x^2+(-8+8 x) \log (4)+2 \log ^2(4)+e^x \left(-4-6 x-12 x^2+4 x^3+\left(-5-8 x+4 x^2\right) \log (4)+(-1+x) \log ^2(4)\right)}{81+36 x-32 x^2-8 x^3+4 x^4+\left(-18 x-4 x^2+4 x^3\right) \log (4)+x^2 \log ^2(4)} \, dx","Integrate[(44 - 16*x + 8*x^2 + (-8 + 8*x)*Log[4] + 2*Log[4]^2 + E^x*(-4 - 6*x - 12*x^2 + 4*x^3 + (-5 - 8*x + 4*x^2)*Log[4] + (-1 + x)*Log[4]^2))/(81 + 36*x - 32*x^2 - 8*x^3 + 4*x^4 + (-18*x - 4*x^2 + 4*x^3)*Log[4] + x^2*Log[4]^2),x]","\frac{\left(e^x-2\right) (2 x-2+\log (4))}{2 x^2+x (\log (4)-2)-9}","\frac{e^x-2}{x+\frac{9}{-2 x+2-\log (4)}}",1,"((-2 + E^x)*(-2 + 2*x + Log[4]))/(-9 + 2*x^2 + x*(-2 + Log[4]))","A",1
7061,1,36,18,0.0148287,"\int \frac{384 x+128 e^{32} x+256 x^2}{9+e^{64}+24 x+16 x^2+e^{32} (6+8 x)} \, dx","Integrate[(384*x + 128*E^32*x + 256*x^2)/(9 + E^64 + 24*x + 16*x^2 + E^32*(6 + 8*x)),x]","128 \left(\frac{1}{32} \left(4 x+e^{32}+3\right)+\frac{\left(3+e^{32}\right)^2}{32 \left(4 x+e^{32}+3\right)}\right)","\frac{16 x^2}{x+\frac{1}{4} \left(3+e^{32}\right)}",1,"128*((3 + E^32)^2/(32*(3 + E^32 + 4*x)) + (3 + E^32 + 4*x)/32)","A",1
7062,1,72,27,0.1222486,"\int \frac{-45+182 x+3 x^2-10 x^3+(-32+8 x) \log (2)}{-45 x+31 x^2+3 x^3-x^4+\left(9-8 x+x^2\right) \log (2)} \, dx","Integrate[(-45 + 182*x + 3*x^2 - 10*x^3 + (-32 + 8*x)*Log[2])/(-45*x + 31*x^2 + 3*x^3 - x^4 + (9 - 8*x + x^2)*Log[2]),x]","\frac{\left(5 \log ^2(2)-9 (\log (16)-74)-\log (2) (50+\log (16))\right) \log \left(x^2+5 x-\log (2)\right)+(\log (2) (\log (16)-380)+9 (296+\log (16))) \log \left(x^2-8 x+9\right)}{666+\log ^2(2)-86 \log (2)}","\log \left(\left(2 x-(3-x)^2\right)^4 (x (x+5)-\log (2))\right)",1,"((Log[2]*(-380 + Log[16]) + 9*(296 + Log[16]))*Log[9 - 8*x + x^2] + (5*Log[2]^2 - 9*(-74 + Log[16]) - Log[2]*(50 + Log[16]))*Log[5*x + x^2 - Log[2]])/(666 - 86*Log[2] + Log[2]^2)","B",1
7063,1,30,28,0.2121113,"\int \frac{24 x^3+e^{\frac{-1296+576 x-9496 x^2+2256 x^3-19881 x^4}{144 x^2}} \left(432-96 x+376 x^3-6627 x^4\right)}{24 x^3} \, dx","Integrate[(24*x^3 + E^((-1296 + 576*x - 9496*x^2 + 2256*x^3 - 19881*x^4)/(144*x^2))*(432 - 96*x + 376*x^3 - 6627*x^4))/(24*x^3),x]","e^{-\frac{2209 x^2}{16}-\frac{9}{x^2}+\frac{47 x}{3}+\frac{4}{x}-\frac{1187}{18}}+x","x+e^{5-\left(\frac{3-x}{x}+\frac{47 x}{4}+\frac{1}{3}\right)^2}",1,"E^(-1187/18 - 9/x^2 + 4/x + (47*x)/3 - (2209*x^2)/16) + x","A",1
7064,1,21,27,0.0628914,"\int \frac{18-4 e^3+e^{x+x^2} \left(-1+x+2 x^2\right)}{4 x^2} \, dx","Integrate[(18 - 4*E^3 + E^(x + x^2)*(-1 + x + 2*x^2))/(4*x^2),x]","\frac{e^{x^2+x}-18+4 e^3}{4 x}","\frac{\frac{1}{4} \left(e^{x^2+x}-2\right)-\frac{7 x}{3}+e^3-4}{x}",1,"(-18 + 4*E^3 + E^(x + x^2))/(4*x)","A",1
7065,1,29,30,0.8425811,"\int \frac{-e^{2 x}+3 x-3 x^2-3 e^x \log (4)+\left(e (3-6 x)-3 x+6 x^2+e^{2 x} (-2 e+2 x)+e^x (-3 e+3 x) \log (4)\right) \log (e-x)}{e^{4 x} (e-x)-9 x^3+18 x^4-9 x^5+e \left(9 x^2-18 x^3+9 x^4\right)+e^{3 x} (6 e-6 x) \log (4)+e^x \left(18 x^2-18 x^3+e \left(-18 x+18 x^2\right)\right) \log (4)+e^{2 x} \left(6 x^2-6 x^3+e \left(-6 x+6 x^2\right)+(9 e-9 x) \log ^2(4)\right)} \, dx","Integrate[(-E^(2*x) + 3*x - 3*x^2 - 3*E^x*Log[4] + (E*(3 - 6*x) - 3*x + 6*x^2 + E^(2*x)*(-2*E + 2*x) + E^x*(-3*E + 3*x)*Log[4])*Log[E - x])/(E^(4*x)*(E - x) - 9*x^3 + 18*x^4 - 9*x^5 + E*(9*x^2 - 18*x^3 + 9*x^4) + E^(3*x)*(6*E - 6*x)*Log[4] + E^x*(18*x^2 - 18*x^3 + E*(-18*x + 18*x^2))*Log[4] + E^(2*x)*(6*x^2 - 6*x^3 + E*(-6*x + 6*x^2) + (9*E - 9*x)*Log[4]^2)),x]","\frac{\log (e-x)}{3 x^2-3 x+e^{2 x}+e^x \log (64)}","\frac{\log (e-x)}{3 \left(x^2-x+e^x \log (4)\right)+e^{2 x}}",1,"Log[E - x]/(E^(2*x) - 3*x + 3*x^2 + E^x*Log[64])","A",1
7066,1,28,19,0.2326047,"\int \frac{15+8 e^{\frac{15-8 \log (x)}{4 \log (x)}} x^2 \log ^2(x)}{4 x \log ^2(x)+4 e^{\frac{15-8 \log (x)}{4 \log (x)}} x^3 \log ^2(x)} \, dx","Integrate[(15 + 8*E^((15 - 8*Log[x])/(4*Log[x]))*x^2*Log[x]^2)/(4*x*Log[x]^2 + 4*E^((15 - 8*Log[x])/(4*Log[x]))*x^3*Log[x]^2),x]","\log \left(x^2 e^{\frac{15}{4 \log (x)}}+e^2\right)-\frac{15}{4 \log (x)}","\log \left(x^2+e^{2-\frac{15}{4 \log (x)}}\right)+25",1,"-15/(4*Log[x]) + Log[E^2 + E^(15/(4*Log[x]))*x^2]","A",1
7067,1,29,20,0.0097793,"\int \frac{-36 \log ^2(4)-72 x^2 \log (4) \log ^2(\log (2))+108 x^4 \log ^4(\log (2))}{x^2 \log ^4(\log (2))} \, dx","Integrate[(-36*Log[4]^2 - 72*x^2*Log[4]*Log[Log[2]]^2 + 108*x^4*Log[Log[2]]^4)/(x^2*Log[Log[2]]^4),x]","36 \left(x^3-\frac{x \log (16)}{\log ^2(\log (2))}+\frac{\log ^2(4)}{x \log ^4(\log (2))}\right)","36 x^3 \left(\frac{\log (4)}{x^2 \log ^2(\log (2))}-1\right)^2",1,"36*(x^3 + Log[4]^2/(x*Log[Log[2]]^4) - (x*Log[16])/Log[Log[2]]^2)","A",1
7068,1,31,30,1.4579496,"\int \frac{\exp \left(\frac{-1+2 e^x}{-2 x+2 (i \pi +\log (4-\log (2)))}\right) \left(-1+e^x (2-2 x)+2 e^x (i \pi +\log (4-\log (2)))\right)}{2 x^2-4 x (i \pi +\log (4-\log (2)))+2 (i \pi +\log (4-\log (2)))^2} \, dx","Integrate[(E^((-1 + 2*E^x)/(-2*x + 2*(I*Pi + Log[4 - Log[2]])))*(-1 + E^x*(2 - 2*x) + 2*E^x*(I*Pi + Log[4 - Log[2]])))/(2*x^2 - 4*x*(I*Pi + Log[4 - Log[2]]) + 2*(I*Pi + Log[4 - Log[2]])^2),x]","\exp \left(\frac{2 e^x-1}{2 (-x+i \pi +\log (4-\log (2)))}\right)","e^{\frac{\frac{1}{2}-e^x}{x-i \pi -\log (4-\log (2))}}",1,"E^((-1 + 2*E^x)/(2*(I*Pi - x + Log[4 - Log[2]])))","A",1
7069,1,30,32,0.1013551,"\int \frac{-40 x-4 x^3+e \left(-8+14 x+2 x^2\right)+e^{x^2} \left(8-14 x-58 x^2+28 x^3\right)+\left(-12 x^2+e \left(-20+20 x-2 x^2\right)+e^{x^2} \left(20-20 x-38 x^2+28 x^3-4 x^4\right)\right) \log (x)}{4 x^2-4 x^3+x^4} \, dx","Integrate[(-40*x - 4*x^3 + E*(-8 + 14*x + 2*x^2) + E^x^2*(8 - 14*x - 58*x^2 + 28*x^3) + (-12*x^2 + E*(-20 + 20*x - 2*x^2) + E^x^2*(20 - 20*x - 38*x^2 + 28*x^3 - 4*x^4))*Log[x])/(4*x^2 - 4*x^3 + x^4),x]","-\frac{2 \left(e^{x^2}+2 x-e\right) ((x-5) \log (x)-7)}{(x-2) x}","\frac{\left(\frac{2 \left(e^{x^2}-e\right)}{x}+4\right) ((5-x) \log (x)+7)}{x-2}",1,"(-2*(-E + E^x^2 + 2*x)*(-7 + (-5 + x)*Log[x]))/((-2 + x)*x)","A",1
7070,1,24,24,0.1948665,"\int \frac{-8 e^x+8 x+4 x^2-2 x^3+x^4+\left(-4 x^2+x^4+e^x \left(4-x^2\right)\right) \log \left(\frac{4-x^2}{x}\right)}{4 x^2-x^4+e^x \left(-4+x^2\right)} \, dx","Integrate[(-8*E^x + 8*x + 4*x^2 - 2*x^3 + x^4 + (-4*x^2 + x^4 + E^x*(4 - x^2))*Log[(4 - x^2)/x])/(4*x^2 - x^4 + E^x*(-4 + x^2)),x]","\log \left(e^x-x^2\right)-x \log \left(\frac{4}{x}-x\right)","\log \left(e^x-x^2\right)-x \log \left(\frac{4}{x}-x\right)",1,"-(x*Log[4/x - x]) + Log[E^x - x^2]","A",1
7071,1,37,32,0.1437816,"\int \frac{-18+e^{x^2} \left(10 x^4-3 x^5+10 x^6-2 x^7+e^x \left(-5 x^3-3 x^4-9 x^5+2 x^6\right)\right)}{3 x^3} \, dx","Integrate[(-18 + E^x^2*(10*x^4 - 3*x^5 + 10*x^6 - 2*x^7 + E^x*(-5*x^3 - 3*x^4 - 9*x^5 + 2*x^6)))/(3*x^3),x]","\frac{3}{x^2}+\frac{1}{3} e^{x^2} \left(-x^3+5 x^2+e^x \left(x^2-5 x\right)\right)","\frac{1}{3} \left(1-e^{x^2} (5-x) \left(e^x-x\right) x\right)+\frac{3}{x^2}",1,"3/x^2 + (E^x^2*(5*x^2 - x^3 + E^x*(-5*x + x^2)))/3","A",1
7072,1,57,19,0.0059026,"\int \frac{1}{16} \left(192 x^3+80 x^4+576 x^5+224 x^6+576 x^7+216 x^8+240 x^9+88 x^{10}+36 x^{11}+13 x^{12}\right) \log ^2(2) \, dx","Integrate[((192*x^3 + 80*x^4 + 576*x^5 + 224*x^6 + 576*x^7 + 216*x^8 + 240*x^9 + 88*x^10 + 36*x^11 + 13*x^12)*Log[2]^2)/16,x]","\frac{1}{16} \left(x^{13}+3 x^{12}+8 x^{11}+24 x^{10}+24 x^9+72 x^8+32 x^7+96 x^6+16 x^5+48 x^4\right) \log ^2(2)","(x+3) \left(\frac{x^3}{2}+x\right)^4 \log ^2(2)",1,"((48*x^4 + 16*x^5 + 96*x^6 + 32*x^7 + 72*x^8 + 24*x^9 + 24*x^10 + 8*x^11 + 3*x^12 + x^13)*Log[2]^2)/16","B",1
7073,1,19,25,0.007889,"\int \frac{3540+240 x-60 x^2}{3600+3480 x+1081 x^2+116 x^3+4 x^4} \, dx","Integrate[(3540 + 240*x - 60*x^2)/(3600 + 3480*x + 1081*x^2 + 116*x^3 + 4*x^4),x]","-\frac{60 (2-x)}{4 x^2+58 x+120}","\frac{x-2}{-\frac{1}{15} \left(\frac{1}{2 x}-1\right) x^2+x+2}",1,"(-60*(2 - x))/(120 + 58*x + 4*x^2)","A",1
7074,1,42,28,0.0631981,"\int \left(18 x+e^{25} \left(288 x+432 x^2+48 x^3-120 x^4-36 x^5+e^{10} \left(-48 x-72 x^2-24 x^3\right)+e^5 \left(-144 x^2-192 x^3-60 x^4\right)\right)+e^{50} \left(1152 x+3456 x^2+2688 x^3-480 x^4-1416 x^5-448 x^6+96 x^7+72 x^8+10 x^9+e^{20} \left(32 x+96 x^2+96 x^3+40 x^4+6 x^5\right)+e^{15} \left(192 x^2+512 x^3+480 x^4+192 x^5+28 x^6\right)+e^{10} \left(-384 x-1152 x^2-768 x^3+480 x^4+792 x^5+336 x^6+48 x^7\right)+e^5 \left(-1152 x^2-3072 x^3-2560 x^4-384 x^5+504 x^6+256 x^7+36 x^8\right)\right)\right) \, dx","Integrate[18*x + E^25*(288*x + 432*x^2 + 48*x^3 - 120*x^4 - 36*x^5 + E^10*(-48*x - 72*x^2 - 24*x^3) + E^5*(-144*x^2 - 192*x^3 - 60*x^4)) + E^50*(1152*x + 3456*x^2 + 2688*x^3 - 480*x^4 - 1416*x^5 - 448*x^6 + 96*x^7 + 72*x^8 + 10*x^9 + E^20*(32*x + 96*x^2 + 96*x^3 + 40*x^4 + 6*x^5) + E^15*(192*x^2 + 512*x^3 + 480*x^4 + 192*x^5 + 28*x^6) + E^10*(-384*x - 1152*x^2 - 768*x^3 + 480*x^4 + 792*x^5 + 336*x^6 + 48*x^7) + E^5*(-1152*x^2 - 3072*x^3 - 2560*x^4 - 384*x^5 + 504*x^6 + 256*x^7 + 36*x^8)),x]","x^2 \left(e^{25} \left(x^2-6\right) (x+2)^2+2 e^{30} x (x+2)^2+e^{35} (x+2)^2-3\right)^2","x^2 \left(e^{25} \left(6-\left(x+e^5\right)^2\right) (x+2)^2+3\right)^2",1,"x^2*(-3 + E^35*(2 + x)^2 + 2*E^30*x*(2 + x)^2 + E^25*(2 + x)^2*(-6 + x^2))^2","A",1
7075,1,18,20,0.1266562,"\int \frac{18-2 x-30 e^x x+\left(-18+4 x+e^x \left(60 x+30 x^2\right)\right) \log (x)}{3 \log ^2(x)} \, dx","Integrate[(18 - 2*x - 30*E^x*x + (-18 + 4*x + E^x*(60*x + 30*x^2))*Log[x])/(3*Log[x]^2),x]","\frac{2 x \left(15 e^x x+x-9\right)}{3 \log (x)}","\frac{2 x \left(5 e^x x+\frac{x}{3}-3\right)}{\log (x)}",1,"(2*x*(-9 + x + 15*E^x*x))/(3*Log[x])","A",1
7076,0,0,32,26.0144225,"\int \frac{\exp \left(-2 x+e^{-2 x} \left(x^5+2 x^4 \log (5)+x^3 \log ^2(5)+e^x \left(-2 x^3-2 x^2 \log (5)\right) \log (x)+e^{2 x} x \log ^2(x)+\left(e^x \left(-2 x^3-2 x^2 \log (5)\right)+2 e^{2 x} x \log (x)\right) \log \left(-\frac{\log (x)}{-2+x}\right)+e^{2 x} x \log ^2\left(-\frac{\log (x)}{-2+x}\right)\right)\right) \left(e^x \left(4 x^2-2 x^3+\left(4 x-2 x^2\right) \log (5)\right)+\left(-10 x^4+9 x^5-2 x^6+e^{2 x} (-4+2 x)+\left(-16 x^3+16 x^4-4 x^5\right) \log (5)+\left(-6 x^2+7 x^3-2 x^4\right) \log ^2(5)+e^x \left(4 x^2+4 x \log (5)\right)\right) \log (x)+\left(-4 e^{2 x}+e^x \left(12 x^2-10 x^3+2 x^4+\left(8 x-8 x^2+2 x^3\right) \log (5)\right)\right) \log ^2(x)+e^{2 x} (-2+x) \log ^3(x)+\left(e^{2 x} (-4+2 x)+\left(-4 e^{2 x}+e^x \left(12 x^2-10 x^3+2 x^4+\left(8 x-8 x^2+2 x^3\right) \log (5)\right)\right) \log (x)+e^{2 x} (-4+2 x) \log ^2(x)\right) \log \left(-\frac{\log (x)}{-2+x}\right)+e^{2 x} (-2+x) \log (x) \log ^2\left(-\frac{\log (x)}{-2+x}\right)\right)}{(-2+x) \log (x)} \, dx","Integrate[(E^(-2*x + (x^5 + 2*x^4*Log[5] + x^3*Log[5]^2 + E^x*(-2*x^3 - 2*x^2*Log[5])*Log[x] + E^(2*x)*x*Log[x]^2 + (E^x*(-2*x^3 - 2*x^2*Log[5]) + 2*E^(2*x)*x*Log[x])*Log[-(Log[x]/(-2 + x))] + E^(2*x)*x*Log[-(Log[x]/(-2 + x))]^2)/E^(2*x))*(E^x*(4*x^2 - 2*x^3 + (4*x - 2*x^2)*Log[5]) + (-10*x^4 + 9*x^5 - 2*x^6 + E^(2*x)*(-4 + 2*x) + (-16*x^3 + 16*x^4 - 4*x^5)*Log[5] + (-6*x^2 + 7*x^3 - 2*x^4)*Log[5]^2 + E^x*(4*x^2 + 4*x*Log[5]))*Log[x] + (-4*E^(2*x) + E^x*(12*x^2 - 10*x^3 + 2*x^4 + (8*x - 8*x^2 + 2*x^3)*Log[5]))*Log[x]^2 + E^(2*x)*(-2 + x)*Log[x]^3 + (E^(2*x)*(-4 + 2*x) + (-4*E^(2*x) + E^x*(12*x^2 - 10*x^3 + 2*x^4 + (8*x - 8*x^2 + 2*x^3)*Log[5]))*Log[x] + E^(2*x)*(-4 + 2*x)*Log[x]^2)*Log[-(Log[x]/(-2 + x))] + E^(2*x)*(-2 + x)*Log[x]*Log[-(Log[x]/(-2 + x))]^2))/((-2 + x)*Log[x]),x]","\int \frac{\exp \left(-2 x+e^{-2 x} \left(x^5+2 x^4 \log (5)+x^3 \log ^2(5)+e^x \left(-2 x^3-2 x^2 \log (5)\right) \log (x)+e^{2 x} x \log ^2(x)+\left(e^x \left(-2 x^3-2 x^2 \log (5)\right)+2 e^{2 x} x \log (x)\right) \log \left(-\frac{\log (x)}{-2+x}\right)+e^{2 x} x \log ^2\left(-\frac{\log (x)}{-2+x}\right)\right)\right) \left(e^x \left(4 x^2-2 x^3+\left(4 x-2 x^2\right) \log (5)\right)+\left(-10 x^4+9 x^5-2 x^6+e^{2 x} (-4+2 x)+\left(-16 x^3+16 x^4-4 x^5\right) \log (5)+\left(-6 x^2+7 x^3-2 x^4\right) \log ^2(5)+e^x \left(4 x^2+4 x \log (5)\right)\right) \log (x)+\left(-4 e^{2 x}+e^x \left(12 x^2-10 x^3+2 x^4+\left(8 x-8 x^2+2 x^3\right) \log (5)\right)\right) \log ^2(x)+e^{2 x} (-2+x) \log ^3(x)+\left(e^{2 x} (-4+2 x)+\left(-4 e^{2 x}+e^x \left(12 x^2-10 x^3+2 x^4+\left(8 x-8 x^2+2 x^3\right) \log (5)\right)\right) \log (x)+e^{2 x} (-4+2 x) \log ^2(x)\right) \log \left(-\frac{\log (x)}{-2+x}\right)+e^{2 x} (-2+x) \log (x) \log ^2\left(-\frac{\log (x)}{-2+x}\right)\right)}{(-2+x) \log (x)} \, dx","\exp \left(x \left(-e^{-x} x (x+\log (5))+\log (x)+\log \left(\frac{\log (x)}{2-x}\right)\right)^2\right)",1,"Integrate[(E^(-2*x + (x^5 + 2*x^4*Log[5] + x^3*Log[5]^2 + E^x*(-2*x^3 - 2*x^2*Log[5])*Log[x] + E^(2*x)*x*Log[x]^2 + (E^x*(-2*x^3 - 2*x^2*Log[5]) + 2*E^(2*x)*x*Log[x])*Log[-(Log[x]/(-2 + x))] + E^(2*x)*x*Log[-(Log[x]/(-2 + x))]^2)/E^(2*x))*(E^x*(4*x^2 - 2*x^3 + (4*x - 2*x^2)*Log[5]) + (-10*x^4 + 9*x^5 - 2*x^6 + E^(2*x)*(-4 + 2*x) + (-16*x^3 + 16*x^4 - 4*x^5)*Log[5] + (-6*x^2 + 7*x^3 - 2*x^4)*Log[5]^2 + E^x*(4*x^2 + 4*x*Log[5]))*Log[x] + (-4*E^(2*x) + E^x*(12*x^2 - 10*x^3 + 2*x^4 + (8*x - 8*x^2 + 2*x^3)*Log[5]))*Log[x]^2 + E^(2*x)*(-2 + x)*Log[x]^3 + (E^(2*x)*(-4 + 2*x) + (-4*E^(2*x) + E^x*(12*x^2 - 10*x^3 + 2*x^4 + (8*x - 8*x^2 + 2*x^3)*Log[5]))*Log[x] + E^(2*x)*(-4 + 2*x)*Log[x]^2)*Log[-(Log[x]/(-2 + x))] + E^(2*x)*(-2 + x)*Log[x]*Log[-(Log[x]/(-2 + x))]^2))/((-2 + x)*Log[x]), x]","F",-1
7077,1,19,26,0.0401651,"\int \frac{-4 e^x x \log (5)+\left(2-20 x-2 x^2\right) \log (5)+\left(-2 x^2 \log (5)-4 e^x x^2 \log (5)\right) \log (x)}{x^2} \, dx","Integrate[(-4*E^x*x*Log[5] + (2 - 20*x - 2*x^2)*Log[5] + (-2*x^2*Log[5] - 4*E^x*x^2*Log[5])*Log[x])/x^2,x]","-2 \log (5) \left(\frac{1}{x}+\left(x+2 e^x+10\right) \log (x)\right)","\frac{\log (5) \left(-x \left(4 \left(e^x+5\right)+2 x\right) \log (x)-2\right)}{x}-2",1,"-2*Log[5]*(x^(-1) + (10 + 2*E^x + x)*Log[x])","A",1
7078,1,56,33,0.4686122,"\int \frac{-8+e^x (-2-2 x)-4 x+e^{6 x-x^2-x^3+e^x \left(-6+x+x^2\right)} \left(-2-12 x+4 x^2+6 x^3+e^x \left(10 x-6 x^2-2 x^3\right)\right)}{16 x^2+e^{2 x} x^2+e^{12 x-2 x^2-2 x^3+2 e^x \left(-6+x+x^2\right)} x^2+8 x^3+x^4+e^x \left(8 x^2+2 x^3\right)+e^{6 x-x^2-x^3+e^x \left(-6+x+x^2\right)} \left(8 x^2+2 e^x x^2+2 x^3\right)} \, dx","Integrate[(-8 + E^x*(-2 - 2*x) - 4*x + E^(6*x - x^2 - x^3 + E^x*(-6 + x + x^2))*(-2 - 12*x + 4*x^2 + 6*x^3 + E^x*(10*x - 6*x^2 - 2*x^3)))/(16*x^2 + E^(2*x)*x^2 + E^(12*x - 2*x^2 - 2*x^3 + 2*E^x*(-6 + x + x^2))*x^2 + 8*x^3 + x^4 + E^x*(8*x^2 + 2*x^3) + E^(6*x - x^2 - x^3 + E^x*(-6 + x + x^2))*(8*x^2 + 2*E^x*x^2 + 2*x^3)),x]","\frac{2 e^{x^3+x^2}}{x \left(e^{e^x \left(x^2+x-6\right)+6 x}+e^{x^3+x^2} (x+4)+e^{x^3+x^2+x}\right)}","\frac{2}{x \left(e^{\left(x-e^x\right) \left(-x^2-x+6\right)}+x+e^x+4\right)}",1,"(2*E^(x^2 + x^3))/(x*(E^(x + x^2 + x^3) + E^(6*x + E^x*(-6 + x + x^2)) + E^(x^2 + x^3)*(4 + x)))","A",1
7079,1,23,16,0.0300791,"\int -\frac{3 e^{\frac{-9 x-\log (2)+3 \log (5)}{-3 x+\log (5)}} \log (2)}{9 x^2-6 x \log (5)+\log ^2(5)} \, dx","Integrate[(-3*E^((-9*x - Log[2] + 3*Log[5])/(-3*x + Log[5]))*Log[2])/(9*x^2 - 6*x*Log[5] + Log[5]^2),x]","\frac{3 e^3 \log (2) 2^{\frac{1}{3 x-\log (5)}}}{\log (8)}","e^{3-\frac{\log (2)}{\log (5)-3 x}}",1,"(3*2^(3*x - Log[5])^(-1)*E^3*Log[2])/Log[8]","A",1
7080,1,17,19,0.0446399,"\int \frac{-16 e^{\frac{1+x}{x}} x+e^{x+\frac{1+x}{x}} \left(4 x+4 x^2\right)+\left(16 e^{\frac{1+x}{x}}-4 e^{x+\frac{1+x}{x}}\right) \log \left(-4 x+e^x x\right)}{-4 x^2+e^x x^2} \, dx","Integrate[(-16*E^((1 + x)/x)*x + E^(x + (1 + x)/x)*(4*x + 4*x^2) + (16*E^((1 + x)/x) - 4*E^(x + (1 + x)/x))*Log[-4*x + E^x*x])/(-4*x^2 + E^x*x^2),x]","4 e^{\frac{1}{x}+1} \log \left(\left(e^x-4\right) x\right)","4 e^{\frac{x+1}{x}} \log \left(\left(e^x-4\right) x\right)",1,"4*E^(1 + x^(-1))*Log[(-4 + E^x)*x]","A",1
7081,1,26,25,0.1915991,"\int \frac{5+e^{4-x} (-1+x)-5 x^2+(-1+x) \log (-1+x)+\left(e^{4-x} (-1+x)+x+\left(-1+x^2\right) \log (-1+x)\right) \log (x)}{5 x-5 x^2+\left(e^{4-x} \left(-x+x^2\right)+\left(-x+x^2\right) \log (-1+x)\right) \log (x)} \, dx","Integrate[(5 + E^(4 - x)*(-1 + x) - 5*x^2 + (-1 + x)*Log[-1 + x] + (E^(4 - x)*(-1 + x) + x + (-1 + x^2)*Log[-1 + x])*Log[x])/(5*x - 5*x^2 + (E^(4 - x)*(-x + x^2) + (-x + x^2)*Log[-1 + x])*Log[x]),x]","\log (x)+\log \left(-5 e^x+e^x \log (x-1) \log (x)+e^4 \log (x)\right)","x+\log \left(x \left(\frac{1}{5} \left(e^{4-x}+\log (x-1)\right) \log (x)-1\right)\right)",1,"Log[x] + Log[-5*E^x + E^4*Log[x] + E^x*Log[-1 + x]*Log[x]]","A",1
7082,1,16,21,0.142433,"\int \frac{48+720 x+108 x^2+42 x^3+6 x^4+\left(72+744 x+90 x^2+18 x^3\right) \log (x)+\left(36+54 x+18 x^2\right) \log ^2(x)+(6+6 x) \log ^3(x)}{8+12 x+6 x^2+x^3+\left(12+12 x+3 x^2\right) \log (x)+(6+3 x) \log ^2(x)+\log ^3(x)} \, dx","Integrate[(48 + 720*x + 108*x^2 + 42*x^3 + 6*x^4 + (72 + 744*x + 90*x^2 + 18*x^3)*Log[x] + (36 + 54*x + 18*x^2)*Log[x]^2 + (6 + 6*x)*Log[x]^3)/(8 + 12*x + 6*x^2 + x^3 + (12 + 12*x + 3*x^2)*Log[x] + (6 + 3*x)*Log[x]^2 + Log[x]^3),x]","3 x \left(x+\frac{100 x}{(x+\log (x)+2)^2}+2\right)","3 \left(\frac{100 x^2}{(x+\log (x)+2)^2}+(x+2) x+25\right)",1,"3*x*(2 + x + (100*x)/(2 + x + Log[x])^2)","A",1
7083,1,19,21,0.3359996,"\int \frac{\exp \left(\frac{1}{48} (48 x+(288+20 x+5 \log (5)) \log (x))\right) (288+68 x+5 \log (5)+20 x \log (x))}{48 x} \, dx","Integrate[(E^((48*x + (288 + 20*x + 5*Log[5])*Log[x])/48)*(288 + 68*x + 5*Log[5] + 20*x*Log[x]))/(48*x),x]","e^x x^{\frac{5}{48} (4 x+48+\log (5))+1}","e^{x+\left(\frac{5}{12} \left(x+\frac{\log (5)}{4}\right)+6\right) \log (x)}",1,"E^x*x^(1 + (5*(48 + 4*x + Log[5]))/48)","A",1
7084,1,26,23,0.0143728,"\int \frac{-180000+30000 x-x^3+180000 \log (5)+(-45000-7500 x) \log ^2(5)}{x^3} \, dx","Integrate[(-180000 + 30000*x - x^3 + 180000*Log[5] + (-45000 - 7500*x)*Log[5]^2)/x^3,x]","\frac{22500 (\log (5)-2)^2}{x^2}-x+\frac{7500 \left(\log ^2(5)-4\right)}{x}","625 \left(\frac{(x+6) (2-\log (5))}{x}-4\right)^2-x",1,"-x + (22500*(-2 + Log[5])^2)/x^2 + (7500*(-4 + Log[5]^2))/x","A",1
7085,1,33,29,0.0188284,"\int \frac{-2-x+e^5 \left(-1024 x^5+2048 x^6-320 x^7-608 x^8-96 x^9\right)}{e^5 \left(256 x^2+128 x^3+16 x^4\right)} \, dx","Integrate[(-2 - x + E^5*(-1024*x^5 + 2048*x^6 - 320*x^7 - 608*x^8 - 96*x^9))/(E^5*(256*x^2 + 128*x^3 + 16*x^4)),x]","-\frac{16 e^5 (x-1)^2 x^4-\frac{1}{2 x (x+4)}}{16 e^5}","\frac{1}{32 e^5 x (x+4)}-\left(x^2-x^3\right)^2",1,"-1/16*(16*E^5*(-1 + x)^2*x^4 - 1/(2*x*(4 + x)))/E^5","A",1
7086,1,26,26,0.1090898,"\int \left(1+e^{-5-4 x+e^5 \left(20 x-5 x^2\right)} \left(4+e^5 (-20+10 x)\right)\right) \, dx","Integrate[1 + E^(-5 - 4*x + E^5*(20*x - 5*x^2))*(4 + E^5*(-20 + 10*x)),x]","x-e^{-5 e^5 x^2+4 \left(5 e^5-1\right) x-5}","x-e^{\left(5 e^5 (4-x)-\frac{5}{x}-4\right) x}+2",1,"-E^(-5 + 4*(-1 + 5*E^5)*x - 5*E^5*x^2) + x","A",1
7087,1,28,24,0.313924,"\int \frac{5+e^{-2+x}-2 x}{3+e^{-2+x}+5 x-x^2+2 \log ^2(5)-\log ^4(5)} \, dx","Integrate[(5 + E^(-2 + x) - 2*x)/(3 + E^(-2 + x) + 5*x - x^2 + 2*Log[5]^2 - Log[5]^4),x]","\log \left(-x^2+5 x+e^{x-2}+3-\log ^4(5)+2 \log ^2(5)\right)","\log \left(x^2-5 x-e^{x-2}-4+\left(\log ^2(5)-1\right)^2\right)",1,"Log[3 + E^(-2 + x) + 5*x - x^2 + 2*Log[5]^2 - Log[5]^4]","A",1
7088,1,22,31,0.4326829,"\int \frac{-7+6 x+6 x^2-6 x^3+x^4+\left(6 x+28 x^2-4 x^3-2 x^4\right) \log \left(\frac{2+10 x+2 x^2}{x}\right)}{\left(x+5 x^2+x^3\right) \log ^2\left(\frac{2+10 x+2 x^2}{x}\right)} \, dx","Integrate[(-7 + 6*x + 6*x^2 - 6*x^3 + x^4 + (6*x + 28*x^2 - 4*x^3 - 2*x^4)*Log[(2 + 10*x + 2*x^2)/x])/((x + 5*x^2 + x^3)*Log[(2 + 10*x + 2*x^2)/x]^2),x]","\frac{-x^2+6 x-7}{\log \left(2 \left(x+\frac{1}{x}+5\right)\right)}","\frac{(3-x) (x-4)-x+5}{\log \left(\frac{2 ((x+4) x+x+1)}{x}\right)}",1,"(-7 + 6*x - x^2)/Log[2*(5 + x^(-1) + x)]","A",1
7089,1,14,26,0.0054552,"\int \frac{-7 x+e^x x (4+4 x)}{3 x} \, dx","Integrate[(-7*x + E^x*x*(4 + 4*x))/(3*x),x]","\frac{1}{3} \left(4 e^x x-7 x\right)","-x+\frac{1}{3} \left(4 \left(e^x x-x\right)+\frac{80}{e^3}\right)+3",1,"(-7*x + 4*E^x*x)/3","A",1
7090,1,25,27,0.0042657,"\int \frac{1}{25} \left(25+12 e^{2 x}-12 e^{4 x}-50 x\right) \, dx","Integrate[(25 + 12*E^(2*x) - 12*E^(4*x) - 50*x)/25,x]","-x^2+x+\frac{6 e^{2 x}}{25}-\frac{3 e^{4 x}}{25}","-x^2-\frac{3}{25} \left(e^{2 x}-1\right)^2+x+3-\log ^2(2)",1,"(6*E^(2*x))/25 - (3*E^(4*x))/25 + x - x^2","A",1
7091,1,19,20,0.0042385,"\int \frac{30 x+e^5 \left(-1-6 x-12 x^2\right)}{e^5 x} \, dx","Integrate[(30*x + E^5*(-1 - 6*x - 12*x^2))/(E^5*x),x]","-6 x^2+\frac{30 x}{e^5}-6 x-\log (x)","-6 \left(x^2-\frac{5 x}{e^5}+x-5\right)-\log (x)+19",1,"-6*x + (30*x)/E^5 - 6*x^2 - Log[x]","A",1
7092,1,42,21,0.0103707,"\int \frac{-25+25 x+50 x^2-2 x^3-2 x^4+\left(4 x^2-6 x^3-8 x^4\right) \log (x)+4 x^2 \log ^2(x)}{5 x} \, dx","Integrate[(-25 + 25*x + 50*x^2 - 2*x^3 - 2*x^4 + (4*x^2 - 6*x^3 - 8*x^4)*Log[x] + 4*x^2*Log[x]^2)/(5*x),x]","-\frac{2}{5} x^4 \log (x)-\frac{2}{5} x^3 \log (x)+5 x^2+\frac{2}{5} x^2 \log ^2(x)+5 x-5 \log (x)","\left(x^2+x-\log (x)\right) \left(5-\frac{2}{5} x^2 \log (x)\right)",1,"5*x + 5*x^2 - 5*Log[x] - (2*x^3*Log[x])/5 - (2*x^4*Log[x])/5 + (2*x^2*Log[x]^2)/5","A",1
7093,1,26,25,0.6946938,"\int \frac{1}{5} \left(-2 x+30 x^2+e^x \left(-10 x-5 x^2\right)+e^{e^x x^2} \left(-1+20 x+e^{2 x} \left(-10 x^2-5 x^3\right)+e^x \left(-5-5 x-2 x^2+19 x^3+10 x^4\right)\right)\right) \, dx","Integrate[(-2*x + 30*x^2 + E^x*(-10*x - 5*x^2) + E^(E^x*x^2)*(-1 + 20*x + E^(2*x)*(-10*x^2 - 5*x^3) + E^x*(-5 - 5*x - 2*x^2 + 19*x^3 + 10*x^4)))/5,x]","\frac{1}{5} x \left(e^{e^x x^2}+x\right) \left(10 x-5 e^x-1\right)","x \left(e^{e^x x^2}+x\right) \left(2 x-e^x-\frac{1}{5}\right)",1,"(x*(E^(E^x*x^2) + x)*(-1 - 5*E^x + 10*x))/5","A",1
7094,1,26,26,0.6096877,"\int \frac{40 x-4 x^2-4 x^3+e^{e^x} \left(4 x^2-4 e^x x^3\right)+4 x^2 \log \left(-e^x\right)}{25-10 x+x^2+e^{2 e^x} x^2+e^{e^x} \left(10 x-2 x^2\right)+\left(10 x-2 x^2+2 e^{e^x} x^2\right) \log \left(-e^x\right)+x^2 \log ^2\left(-e^x\right)} \, dx","Integrate[(40*x - 4*x^2 - 4*x^3 + E^E^x*(4*x^2 - 4*E^x*x^3) + 4*x^2*Log[-E^x])/(25 - 10*x + x^2 + E^(2*E^x)*x^2 + E^E^x*(10*x - 2*x^2) + (10*x - 2*x^2 + 2*E^E^x*x^2)*Log[-E^x] + x^2*Log[-E^x]^2),x]","\frac{4 x^2}{\left(e^{e^x}-1\right) x+x \log \left(-e^x\right)+5}","\frac{4 x}{\frac{5-x}{x}+e^{e^x}+\log \left(-e^x\right)}",1,"(4*x^2)/(5 + (-1 + E^E^x)*x + x*Log[-E^x])","A",1
7095,1,26,21,0.0055957,"\int \frac{-6 x+3 x^2+(3-2 x) \log (3)}{2 e^5} \, dx","Integrate[(-6*x + 3*x^2 + (3 - 2*x)*Log[3])/(2*E^5),x]","\frac{x^3-\frac{1}{2} x^2 (6+\log (9))+x \log (27)}{2 e^5}","\frac{(3-x) x (\log (3)-x)}{2 e^5}-3",1,"(x^3 - (x^2*(6 + Log[9]))/2 + x*Log[27])/(2*E^5)","A",1
7096,1,19,19,0.0614582,"\int \frac{99-198 x+\left(132+66 x-66 x^2\right) \log ^2\left(-2-x+x^2\right)}{\left(-2-x+x^2\right) \log ^2\left(-2-x+x^2\right)} \, dx","Integrate[(99 - 198*x + (132 + 66*x - 66*x^2)*Log[-2 - x + x^2]^2)/((-2 - x + x^2)*Log[-2 - x + x^2]^2),x]","-33 \left(2 x-\frac{3}{\log \left(x^2-x-2\right)}\right)","-33 \left(2 x-\frac{3}{\log \left(x^2-x-2\right)}\right)",1,"-33*(2*x - 3/Log[-2 - x + x^2])","A",1
7097,1,34,30,0.1445105,"\int \frac{e^{x^8} \left(-5 x^2-40 x^{10}+40 x^{11}+e^2 \left(5 x^2+40 x^{10}\right)\right) \log ^2(x)+e^{\frac{x}{5 \log (x)}} \left(e^{x^8} x^2-e^{x^8} x^2 \log (x)+e^{x^8} \left(10 x+40 x^9\right) \log ^2(x)\right)}{5 e^{\frac{2 x}{5 \log (x)}} \log ^2(x)+e^{\frac{x}{5 \log (x)}} \left(-10 x+10 e^2 x+10 x^2\right) \log ^2(x)+\left(5 x^2+5 e^4 x^2-10 x^3+5 x^4+e^2 \left(-10 x^2+10 x^3\right)\right) \log ^2(x)} \, dx","Integrate[(E^x^8*(-5*x^2 - 40*x^10 + 40*x^11 + E^2*(5*x^2 + 40*x^10))*Log[x]^2 + E^(x/(5*Log[x]))*(E^x^8*x^2 - E^x^8*x^2*Log[x] + E^x^8*(10*x + 40*x^9)*Log[x]^2))/(5*E^((2*x)/(5*Log[x]))*Log[x]^2 + E^(x/(5*Log[x]))*(-10*x + 10*E^2*x + 10*x^2)*Log[x]^2 + (5*x^2 + 5*E^4*x^2 - 10*x^3 + 5*x^4 + E^2*(-10*x^2 + 10*x^3))*Log[x]^2),x]","\frac{e^{x^8} x^2}{x^2+e^2 x-x+e^{\frac{x}{5 \log (x)}}}","\frac{e^{x^8} x}{x+\frac{e^{\frac{x}{5 \log (x)}}}{x}+e^2-1}",1,"(E^x^8*x^2)/(E^(x/(5*Log[x])) - x + E^2*x + x^2)","A",1
7098,1,24,24,0.1965501,"\int \frac{-1000-1000 x-250 x^2+(-80-40 x) \log ^3(x)+(-2000-1000 x) \log (2 x)-1000 \log ^2(2 x)}{\left(4 x+4 x^2+x^3\right) \log ^3(x)+\left(8 x+4 x^2\right) \log ^3(x) \log (2 x)+4 x \log ^3(x) \log ^2(2 x)} \, dx","Integrate[(-1000 - 1000*x - 250*x^2 + (-80 - 40*x)*Log[x]^3 + (-2000 - 1000*x)*Log[2*x] - 1000*Log[2*x]^2)/((4*x + 4*x^2 + x^3)*Log[x]^3 + (8*x + 4*x^2)*Log[x]^3*Log[2*x] + 4*x*Log[x]^3*Log[2*x]^2),x]","10 \left(\frac{25}{2 \log ^2(x)}+\frac{4}{x+2 \log (x)+2+\log (4)}\right)","5 \left(\frac{25}{\log ^2(x)}+\frac{4}{\frac{x}{2}+\log (2 x)+1}\right)",1,"10*(25/(2*Log[x]^2) + 4/(2 + x + Log[4] + 2*Log[x]))","A",1
7099,1,25,17,0.2040687,"\int \frac{e^{-2-x} (-1+x) \log (3)-2 x \log (3)}{e^{-4-2 x} x^2+2 e^{-2-x} x^3+x^4} \, dx","Integrate[(E^(-2 - x)*(-1 + x)*Log[3] - 2*x*Log[3])/(E^(-4 - 2*x)*x^2 + 2*E^(-2 - x)*x^3 + x^4),x]","-\left(\left(\frac{1}{x^2 \left(e^{x+2} x+1\right)}-\frac{1}{x^2}\right) \log (3)\right)","\frac{\log (3)}{x \left(x+e^{-x-2}\right)}",1,"-((-x^(-2) + 1/(x^2*(1 + E^(2 + x)*x)))*Log[3])","A",1
7100,1,17,16,0.0059756,"\int \frac{e^4 (72-72 x)}{169-312 x+300 x^2-144 x^3+36 x^4} \, dx","Integrate[(E^4*(72 - 72*x))/(169 - 312*x + 300*x^2 - 144*x^3 + 36*x^4),x]","\frac{6 e^4}{6 x^2-12 x+13}","\frac{e^4}{x^2-2 x+\frac{13}{6}}",1,"(6*E^4)/(13 - 12*x + 6*x^2)","A",1
7101,1,17,19,0.0067346,"\int \frac{42-6 e^6+6 x^2+24 \log (3)}{x^2} \, dx","Integrate[(42 - 6*E^6 + 6*x^2 + 24*Log[3])/x^2,x]","6 \left(x+\frac{-7+e^6-\log (81)}{x}\right)","\frac{6 \left(x (x+4)+e^6-7-4 \log (3)\right)}{x}",1,"6*(x + (-7 + E^6 - Log[81])/x)","A",1
7102,1,37,30,0.1535888,"\int \frac{-5 e^{21+x} x+e^{42+2 x} \left(3 e^4-9 x+x^2\right)+\left(e^{42+2 x} \left(-6 e^4+6 x\right)+e^{21+x} \left(e^4 (-5-5 x)+5 x+5 x^2\right)\right) \log \left(-e^4+x\right)}{e^{42+2 x} \left(9 e^4-9 x\right)+\left(e^{21+x} \left(-30 e^4+30 x\right)+e^{42+2 x} \left(36 x-6 x^2+e^4 (-36+6 x)\right)\right) \log \left(-e^4+x\right)+\left(25 e^4-25 x+e^{21+x} \left(e^4 (60-10 x)-60 x+10 x^2\right)+e^{42+2 x} \left(-36 x+12 x^2-x^3+e^4 \left(36-12 x+x^2\right)\right)\right) \log ^2\left(-e^4+x\right)} \, dx","Integrate[(-5*E^(21 + x)*x + E^(42 + 2*x)*(3*E^4 - 9*x + x^2) + (E^(42 + 2*x)*(-6*E^4 + 6*x) + E^(21 + x)*(E^4*(-5 - 5*x) + 5*x + 5*x^2))*Log[-E^4 + x])/(E^(42 + 2*x)*(9*E^4 - 9*x) + (E^(21 + x)*(-30*E^4 + 30*x) + E^(42 + 2*x)*(36*x - 6*x^2 + E^4*(-36 + 6*x)))*Log[-E^4 + x] + (25*E^4 - 25*x + E^(21 + x)*(E^4*(60 - 10*x) - 60*x + 10*x^2) + E^(42 + 2*x)*(-36*x + 12*x^2 - x^3 + E^4*(36 - 12*x + x^2)))*Log[-E^4 + x]^2),x]","\frac{e^{x+21} x}{3 e^{x+21}+\left(e^{x+21} (x-6)-5\right) \log \left(x-e^4\right)}","\frac{x}{3-\left(-x+5 e^{-x-21}+6\right) \log \left(x-e^4\right)}",1,"(E^(21 + x)*x)/(3*E^(21 + x) + (-5 + E^(21 + x)*(-6 + x))*Log[-E^4 + x])","A",1
7103,1,30,25,0.1497231,"\int \frac{x-2 e^x x+2 e^{-x} x \left(3-3 x-15 x^2+5 x^3+e^x \left(3-15 x^2\right)\right)}{x} \, dx","Integrate[(x - 2*E^x*x + (2*x*(3 - 3*x - 15*x^2 + 5*x^3 + E^x*(3 - 15*x^2)))/E^x)/x,x]","-10 x^3+2 e^{-x} \left(3 x-5 x^3\right)+7 x-2 e^x","\left(e^x+1\right) \left(2 e^{-x} x \left(3-5 x^2\right)-2\right)+x",1,"-2*E^x + 7*x - 10*x^3 + (2*(3*x - 5*x^3))/E^x","A",1
7104,1,23,18,0.0515462,"\int \frac{\exp \left(-\frac{2 \left(5+(-3+x) \log \left(\frac{6 x}{5}\right)\right)}{-3+x}\right) \left(9 x^2+e^{\frac{2 \left(5+(-3+x) \log \left(\frac{6 x}{5}\right)\right)}{-3+x}} \left(-360+240 x-40 x^2\right)\right)}{360-240 x+40 x^2} \, dx","Integrate[(9*x^2 + E^((2*(5 + (-3 + x)*Log[(6*x)/5]))/(-3 + x))*(-360 + 240*x - 40*x^2))/(E^((2*(5 + (-3 + x)*Log[(6*x)/5]))/(-3 + x))*(360 - 240*x + 40*x^2)),x]","\frac{1}{32} \left(\frac{1}{2} e^{\frac{10}{3-x}}-32 x\right)","-x+\frac{1}{64} e^{-\frac{10}{x-3}}-25",1,"(E^(10/(3 - x))/2 - 32*x)/32","A",1
7105,1,41,24,0.0173964,"\int \frac{1}{5} \left(109-400 x+390 x^2-160 x^3+25 x^4+\left(600 x^2-640 x^3+200 x^4\right) \log (5)+400 x^4 \log ^2(5)\right) \, dx","Integrate[(109 - 400*x + 390*x^2 - 160*x^3 + 25*x^4 + (600*x^2 - 640*x^3 + 200*x^4)*Log[5] + 400*x^4*Log[5]^2)/5,x]","x^5 (1+\log (625))^2-8 x^4 (1+\log (625))+2 x^3 (13+20 \log (5))-40 x^2+\frac{109 x}{5}","x \left(\left(4 x^2 \log (5)+(2-x)^2+1\right)^2-\frac{16}{5}\right)",1,"(109*x)/5 - 40*x^2 + 2*x^3*(13 + 20*Log[5]) - 8*x^4*(1 + Log[625]) + x^5*(1 + Log[625])^2","A",1
7106,1,58,28,0.0969129,"\int \frac{320-32 x-44 x^2+8 x^3+e^{20+\frac{2 e^{20} \left(4+x^2\right)}{-20+5 x}} \left(-40-80 x+10 x^2\right)+e^{\frac{e^{20} \left(4+x^2\right)}{-20+5 x}} \left(-320+160 x-20 x^2+e^{20} \left(40+96 x+22 x^2-4 x^3\right)\right)}{16-8 x+x^2} \, dx","Integrate[(320 - 32*x - 44*x^2 + 8*x^3 + E^(20 + (2*E^20*(4 + x^2))/(-20 + 5*x))*(-40 - 80*x + 10*x^2) + E^((E^20*(4 + x^2))/(-20 + 5*x))*(-320 + 160*x - 20*x^2 + E^20*(40 + 96*x + 22*x^2 - 4*x^3)))/(16 - 8*x + x^2),x]","-10 e^{\frac{e^{20} \left(x^2+4\right)}{5 (x-4)}} (2 x+5)+25 e^{\frac{2 e^{20} \left(x^2+4\right)}{5 (x-4)}}+4 \left(x^2+5 x-36\right)","\left(-5 e^{\frac{e^{20} \left(x^2+4\right)}{5 (x-4)}}+2 x+5\right)^2",1,"25*E^((2*E^20*(4 + x^2))/(5*(-4 + x))) - 10*E^((E^20*(4 + x^2))/(5*(-4 + x)))*(5 + 2*x) + 4*(-36 + 5*x + x^2)","B",1
7107,1,12,13,0.0013554,"\int \frac{-e^6-32 x}{e^6} \, dx","Integrate[(-E^6 - 32*x)/E^6,x]","-\frac{16 x^2}{e^6}-x","-\frac{16 x^2}{e^6}-x+16",1,"-x - (16*x^2)/E^6","A",1
7108,1,57,24,0.0288104,"\int \frac{e^{-4 e^{3 e^9}} \left(10 x+6 x^2+\left(50+50 x+16 x^2\right) \log (x)+\left(20 x+8 x^2\right) \log ^2(x)\right)}{x} \, dx","Integrate[(10*x + 6*x^2 + (50 + 50*x + 16*x^2)*Log[x] + (20*x + 8*x^2)*Log[x]^2)/(E^(4*E^(3*E^9))*x),x]","2 e^{-4 e^{3 e^9}} \left(\frac{x^2}{2}+2 x^2 \log ^2(x)+2 x^2 \log (x)+10 x \log ^2(x)+\frac{25 \log ^2(x)}{2}+5 x \log (x)\right)","e^{-4 e^{3 e^9}} (x+(2 x+5) \log (x))^2",1,"(2*(x^2/2 + 5*x*Log[x] + 2*x^2*Log[x] + (25*Log[x]^2)/2 + 10*x*Log[x]^2 + 2*x^2*Log[x]^2))/E^(4*E^(3*E^9))","B",1
7109,1,40,30,3.0203947,"\int \frac{e^{-x} \left(20-28 x+17 x^2-6 x^3+x^4+e^{\frac{-4-x}{-2+x}} \left(-20+10 x-25 x^2+5 x^3\right)+\left(-4+4 x-x^2\right) \log (4)\right)}{4-4 x+x^2} \, dx","Integrate[(20 - 28*x + 17*x^2 - 6*x^3 + x^4 + E^((-4 - x)/(-2 + x))*(-20 + 10*x - 25*x^2 + 5*x^3) + (-4 + 4*x - x^2)*Log[4])/(E^x*(4 - 4*x + x^2)),x]","e^{-x-\frac{6}{x-2}-1} \left(e^{\frac{x+4}{x-2}} \left(-x^2-5+\log (4)\right)-5 x\right)","e^{-x} \left(-x \left(x+5 e^{\frac{x+4}{2-x}}\right)-5+\log (4)\right)",1,"E^(-1 - 6/(-2 + x) - x)*(-5*x + E^((4 + x)/(-2 + x))*(-5 - x^2 + Log[4]))","A",1
7110,1,24,28,0.0736474,"\int e^{-e^{-2 e+5 x}} x^{-2-\frac{1}{x^2}} \left(-3+3 x^2-15 e^{-2 e+5 x} x^3+6 \log (x)\right) \, dx","Integrate[(x^(-2 - x^(-2))*(-3 + 3*x^2 - 15*E^(-2*E + 5*x)*x^3 + 6*Log[x]))/E^E^(-2*E + 5*x),x]","3 e^{-e^{5 x-2 e}} x^{1-\frac{1}{x^2}}","3 e^{-e^{x+2 (2 x-e)}} x^{1-\frac{1}{x^2}}",1,"(3*x^(1 - x^(-2)))/E^E^(-2*E + 5*x)","A",1
7111,1,28,23,0.5031953,"\int \frac{e^5 \left(2-2 x+x^2\right)+e^{5+2 x} \left(2-4 x+2 x^2\right)}{64-96 x+20 x^2+12 x^3+x^4+e^{4 x} \left(1-2 x+x^2\right)+e^{2 x} \left(16-28 x+10 x^2+2 x^3\right)} \, dx","Integrate[(E^5*(2 - 2*x + x^2) + E^(5 + 2*x)*(2 - 4*x + 2*x^2))/(64 - 96*x + 20*x^2 + 12*x^3 + x^4 + E^(4*x)*(1 - 2*x + x^2) + E^(2*x)*(16 - 28*x + 10*x^2 + 2*x^3)),x]","\frac{e^5 (1-x)}{x^2+6 x+e^{2 x} (x-1)-8}","\frac{e^5}{-x-e^{2 x}+\frac{1}{x-1}-7}",1,"(E^5*(1 - x))/(-8 + E^(2*x)*(-1 + x) + 6*x + x^2)","A",1
7112,1,21,22,0.3088052,"\int \frac{-512000000-2048000000 x^2-3840000 x^3-2048000000 x^4-10240000 x^5-5120000 x^7+\left(2048000000 x^2+4096000000 x^4\right) \log (x)}{x^{10}+1200 x^7 \log (x)+480000 x^4 \log ^2(x)+64000000 x \log ^3(x)} \, dx","Integrate[(-512000000 - 2048000000*x^2 - 3840000*x^3 - 2048000000*x^4 - 10240000*x^5 - 5120000*x^7 + (2048000000*x^2 + 4096000000*x^4)*Log[x])/(x^10 + 1200*x^7*Log[x] + 480000*x^4*Log[x]^2 + 64000000*x*Log[x]^3),x]","\frac{640000 \left(2 x^2+1\right)^2}{\left(x^3+400 \log (x)\right)^2}","\frac{\left(4 x^2+2\right)^2}{\left(\frac{x^3}{400}+\log (x)\right)^2}",1,"(640000*(1 + 2*x^2)^2)/(x^3 + 400*Log[x])^2","A",1
7113,1,19,21,0.0040789,"\int \frac{-36+e^2 \left(5 x+40 x^2+10 x^3\right)}{5 e^2 x^2} \, dx","Integrate[(-36 + E^2*(5*x + 40*x^2 + 10*x^3))/(5*E^2*x^2),x]","x^2+8 x+\frac{36}{5 e^2 x}+\log (x)","(x+4)^2+\frac{36}{5 e^2 x}+\log (3 x)-1",1,"36/(5*E^2*x) + 8*x + x^2 + Log[x]","A",1
7114,1,83,30,0.2440769,"\int \frac{e^{6 x} \left(2 x+x^2\right)+e^{5 x} \left(-10 x^2+5 x^3+5 x^4\right)+e^{4 x} \left(8 x-4 x^2+20 x^3-30 x^4+10 x^6\right)+e^{3 x} \left(-16 x^2+12 x^3-24 x^4+50 x^5-30 x^6-10 x^7+10 x^8\right)+e^{2 x} \left(8 x-12 x^2+8 x^3+4 x^4-6 x^5-31 x^6+40 x^7-10 x^8-10 x^9+5 x^{10}\right)+e^x \left(8 x^2-28 x^3+4 x^4-12 x^5+26 x^6-11 x^7-11 x^8+10 x^9-3 x^{11}+x^{12}\right)+e^{6 x} \left(7 e^{6 x}+e^{5 x} \left(-35 x+35 x^2\right)+e^{4 x} \left(70 x^2-140 x^3+70 x^4\right)+e^{3 x} \left(-70 x^3+210 x^4-210 x^5+70 x^6\right)+e^{2 x} \left(35 x^4-140 x^5+210 x^6-140 x^7+35 x^8\right)+e^x \left(-7 x^5+35 x^6-70 x^7+70 x^8-35 x^9+7 x^{10}\right)\right)+e^{3 x} \left(e^{6 x} (-2-8 x)+e^{5 x} \left(10 x+30 x^2-40 x^3\right)+e^{4 x} \left(-4-8 x-20 x^2-40 x^3+140 x^4-80 x^5\right)+e^{3 x} \left(4 x+36 x^2-12 x^3+20 x^4-180 x^5+220 x^6-80 x^7\right)+e^{2 x} \left(4 x^2-64 x^3+90 x^4-40 x^5+100 x^6-200 x^7+150 x^8-40 x^9\right)+e^x \left(-4 x^3+36 x^4-74 x^5+58 x^6-36 x^7+60 x^8-70 x^9+38 x^{10}-8 x^{11}\right)\right)}{e^{5 x}-x^5+5 x^6-10 x^7+10 x^8-5 x^9+x^{10}+e^{4 x} \left(-5 x+5 x^2\right)+e^{3 x} \left(10 x^2-20 x^3+10 x^4\right)+e^{2 x} \left(-10 x^3+30 x^4-30 x^5+10 x^6\right)+e^x \left(5 x^4-20 x^5+30 x^6-20 x^7+5 x^8\right)} \, dx","Integrate[(E^(6*x)*(2*x + x^2) + E^(5*x)*(-10*x^2 + 5*x^3 + 5*x^4) + E^(4*x)*(8*x - 4*x^2 + 20*x^3 - 30*x^4 + 10*x^6) + E^(3*x)*(-16*x^2 + 12*x^3 - 24*x^4 + 50*x^5 - 30*x^6 - 10*x^7 + 10*x^8) + E^(2*x)*(8*x - 12*x^2 + 8*x^3 + 4*x^4 - 6*x^5 - 31*x^6 + 40*x^7 - 10*x^8 - 10*x^9 + 5*x^10) + E^x*(8*x^2 - 28*x^3 + 4*x^4 - 12*x^5 + 26*x^6 - 11*x^7 - 11*x^8 + 10*x^9 - 3*x^11 + x^12) + E^(6*x)*(7*E^(6*x) + E^(5*x)*(-35*x + 35*x^2) + E^(4*x)*(70*x^2 - 140*x^3 + 70*x^4) + E^(3*x)*(-70*x^3 + 210*x^4 - 210*x^5 + 70*x^6) + E^(2*x)*(35*x^4 - 140*x^5 + 210*x^6 - 140*x^7 + 35*x^8) + E^x*(-7*x^5 + 35*x^6 - 70*x^7 + 70*x^8 - 35*x^9 + 7*x^10)) + E^(3*x)*(E^(6*x)*(-2 - 8*x) + E^(5*x)*(10*x + 30*x^2 - 40*x^3) + E^(4*x)*(-4 - 8*x - 20*x^2 - 40*x^3 + 140*x^4 - 80*x^5) + E^(3*x)*(4*x + 36*x^2 - 12*x^3 + 20*x^4 - 180*x^5 + 220*x^6 - 80*x^7) + E^(2*x)*(4*x^2 - 64*x^3 + 90*x^4 - 40*x^5 + 100*x^6 - 200*x^7 + 150*x^8 - 40*x^9) + E^x*(-4*x^3 + 36*x^4 - 74*x^5 + 58*x^6 - 36*x^7 + 60*x^8 - 70*x^9 + 38*x^10 - 8*x^11)))/(E^(5*x) - x^5 + 5*x^6 - 10*x^7 + 10*x^8 - 5*x^9 + x^10 + E^(4*x)*(-5*x + 5*x^2) + E^(3*x)*(10*x^2 - 20*x^3 + 10*x^4) + E^(2*x)*(-10*x^3 + 30*x^4 - 30*x^5 + 10*x^6) + E^x*(5*x^4 - 20*x^5 + 30*x^6 - 20*x^7 + 5*x^8)),x]","\frac{e^x \left(e^{3 x} (x-1)^2 x^2-2 e^x (x-1) x^2-\left(x^4-2 x^3+x^2+2\right) x-e^{2 x} x+2 e^{4 x} (x-1) x+e^{5 x}\right)^2}{\left((x-1) x+e^x\right)^4}","e^x \left(\frac{2 x}{\left(x^2-x+e^x\right)^2}+x-e^{3 x}\right)^2",1,"(E^x*(E^(5*x) - E^(2*x)*x + 2*E^(4*x)*(-1 + x)*x - 2*E^x*(-1 + x)*x^2 + E^(3*x)*(-1 + x)^2*x^2 - x*(2 + x^2 - 2*x^3 + x^4))^2)/(E^x + (-1 + x)*x)^4","B",1
7115,1,14,20,0.0044565,"\int \frac{-4+4 x+20 x^2}{x+5 x^2} \, dx","Integrate[(-4 + 4*x + 20*x^2)/(x + 5*x^2),x]","4 (x-\log (x)+\log (5 x+1))","4 \left(\log \left(e^x \left(\frac{1}{x}+5\right)\right)-17\right)-e^{25}",1,"4*(x - Log[x] + Log[1 + 5*x])","A",1
7116,1,29,31,0.1799783,"\int \frac{\exp \left(\frac{e^{2/x} x-x \log \left(3 x^4-6 x^2 \log (6)+3 \log ^2(6)\right)}{\log \left(3 x^4-6 x^2 \log (6)+3 \log ^2(6)\right)}\right) \left(4 e^{2/x} x^3+e^{2/x} \left(2 x^2-x^3+(-2+x) \log (6)\right) \log \left(3 x^4-6 x^2 \log (6)+3 \log ^2(6)\right)+\left(x^3-x \log (6)\right) \log ^2\left(3 x^4-6 x^2 \log (6)+3 \log ^2(6)\right)\right)}{\left(-x^3+x \log (6)\right) \log ^2\left(3 x^4-6 x^2 \log (6)+3 \log ^2(6)\right)} \, dx","Integrate[(E^((E^(2/x)*x - x*Log[3*x^4 - 6*x^2*Log[6] + 3*Log[6]^2])/Log[3*x^4 - 6*x^2*Log[6] + 3*Log[6]^2])*(4*E^(2/x)*x^3 + E^(2/x)*(2*x^2 - x^3 + (-2 + x)*Log[6])*Log[3*x^4 - 6*x^2*Log[6] + 3*Log[6]^2] + (x^3 - x*Log[6])*Log[3*x^4 - 6*x^2*Log[6] + 3*Log[6]^2]^2))/((-x^3 + x*Log[6])*Log[3*x^4 - 6*x^2*Log[6] + 3*Log[6]^2]^2),x]","e^{x \left(\frac{e^{2/x}}{\log \left(3 \left(x^2-\log (6)\right)^2\right)}-1\right)}","e^{x \left(\frac{e^{2/x}}{\log \left(3 \left(x^2-\log (6)\right)^2\right)}-1\right)}-5",1,"E^(x*(-1 + E^(2/x)/Log[3*(x^2 - Log[6])^2]))","A",1
7117,1,82,26,0.4949428,"\int \frac{e^x+x^2-2 x^3+x^4+\left(-10 x+32 x^2-26 x^3+4 x^4+e^x \left(-5+2 e^2+x\right)+e^2 \left(4 x-12 x^2+8 x^3\right)\right) \log \left(\frac{1}{2} \left(-5+2 e^2+x\right)\right)}{-5+2 e^2+x} \, dx","Integrate[(E^x + x^2 - 2*x^3 + x^4 + (-10*x + 32*x^2 - 26*x^3 + 4*x^4 + E^x*(-5 + 2*E^2 + x) + E^2*(4*x - 12*x^2 + 8*x^3))*Log[(-5 + 2*E^2 + x)/2])/(-5 + 2*E^2 + x),x]","\frac{\left((x-5) (x-1)^2 x^2+2 e^2 (x-1)^2 x^2+e^x x+2 e^{x+2}\right) \log \left(\frac{1}{2} \left(x+2 e^2-5\right)\right)+e^x \left(\log (32)-5 \log \left(x+2 e^2-5\right)\right)}{x+2 e^2-5}","\left(\left(x-x^2\right)^2+e^x\right) \log \left(\frac{x-5}{2}+e^2\right)",1,"((2*E^(2 + x) + E^x*x + 2*E^2*(-1 + x)^2*x^2 + (-5 + x)*(-1 + x)^2*x^2)*Log[(-5 + 2*E^2 + x)/2] + E^x*(Log[32] - 5*Log[-5 + 2*E^2 + x]))/(-5 + 2*E^2 + x)","B",1
7118,1,25,25,1.1318588,"\int \frac{4+\log (3)+e^{e^x+x+x^4} \left(-6+x-20 x^3+4 x^4+e^x (-5+x-\log (3))+\left(-1-4 x^3\right) \log (3)\right)}{1+e^{2 e^x+2 x+2 x^4}+e^{e^x+x+x^4} (2-2 x)-2 x+x^2} \, dx","Integrate[(4 + Log[3] + E^(E^x + x + x^4)*(-6 + x - 20*x^3 + 4*x^4 + E^x*(-5 + x - Log[3]) + (-1 - 4*x^3)*Log[3]))/(1 + E^(2*E^x + 2*x + 2*x^4) + E^(E^x + x + x^4)*(2 - 2*x) - 2*x + x^2),x]","\frac{-x+5+\log (3)}{e^{x^4+x+e^x}-x+1}","\frac{-x+5+\log (3)}{e^{x^4+x+e^x}-x+1}",1,"(5 - x + Log[3])/(1 + E^(E^x + x + x^4) - x)","A",1
7119,1,39,32,1.9022913,"\int \frac{e \left(-1250+2000 x-1250 x^2+390 x^3-52 x^4\right)}{-5625 x+14625 x^2-14550 x^3+7110 x^4-1729 x^5+169 x^6+\left(3750 x-9750 x^2+9650 x^3-4650 x^4+1104 x^5-104 x^6\right) \log \left(\frac{1-2 x+x^2}{x^2}\right)+\left(-625 x+1625 x^2-1600 x^3+760 x^4-176 x^5+16 x^6\right) \log ^2\left(\frac{1-2 x+x^2}{x^2}\right)} \, dx","Integrate[(E*(-1250 + 2000*x - 1250*x^2 + 390*x^3 - 52*x^4))/(-5625*x + 14625*x^2 - 14550*x^3 + 7110*x^4 - 1729*x^5 + 169*x^6 + (3750*x - 9750*x^2 + 9650*x^3 - 4650*x^4 + 1104*x^5 - 104*x^6)*Log[(1 - 2*x + x^2)/x^2] + (-625*x + 1625*x^2 - 1600*x^3 + 760*x^4 - 176*x^5 + 16*x^6)*Log[(1 - 2*x + x^2)/x^2]^2),x]","\frac{e (5-2 x)^2}{-13 x^2+(5-2 x)^2 \log \left(\frac{(x-1)^2}{x^2}\right)+60 x-75}","\frac{e}{-\frac{x^2}{(2 x-5)^2}+\log \left(\frac{(1-x)^2}{x^2}\right)-3}+5",1,"(E*(5 - 2*x)^2)/(-75 + 60*x - 13*x^2 + (5 - 2*x)^2*Log[(-1 + x)^2/x^2])","A",1
7120,1,28,19,0.0639652,"\int \frac{\left(-20+6 x+\left(10-2 x+100 x^2-40 x^3+4 x^4\right) \log \left(\frac{-1-10 x^2+2 x^3}{-5 x^2+x^3}\right)\right) \log \left(3 x \log \left(\frac{-1-10 x^2+2 x^3}{-5 x^2+x^3}\right)\right)}{\left(5 x-x^2+50 x^3-20 x^4+2 x^5\right) \log \left(\frac{-1-10 x^2+2 x^3}{-5 x^2+x^3}\right)} \, dx","Integrate[((-20 + 6*x + (10 - 2*x + 100*x^2 - 40*x^3 + 4*x^4)*Log[(-1 - 10*x^2 + 2*x^3)/(-5*x^2 + x^3)])*Log[3*x*Log[(-1 - 10*x^2 + 2*x^3)/(-5*x^2 + x^3)]])/((5*x - x^2 + 50*x^3 - 20*x^4 + 2*x^5)*Log[(-1 - 10*x^2 + 2*x^3)/(-5*x^2 + x^3)]),x]","\log ^2\left(3 x \log \left(\frac{2 x^3-10 x^2-1}{(x-5) x^2}\right)\right)","\log ^2\left(3 x \log \left(2-\frac{1}{(x-5) x^2}\right)\right)",1,"Log[3*x*Log[(-1 - 10*x^2 + 2*x^3)/((-5 + x)*x^2)]]^2","A",1
7121,1,21,22,0.2540443,"\int \frac{1+5 x+2 x^2-x^3-x \log (x)+\left(6 x+x^3-x \log (x)\right) \log (3 x)}{12 x+24 x^2 \log (3 x)+12 x^3 \log ^2(3 x)} \, dx","Integrate[(1 + 5*x + 2*x^2 - x^3 - x*Log[x] + (6*x + x^3 - x*Log[x])*Log[3*x])/(12*x + 24*x^2*Log[3*x] + 12*x^3*Log[3*x]^2),x]","\frac{x^2+\log (x)-5}{12 (x \log (3 x)+1)}","\frac{x^2+\log (x)-5}{3 (4 x \log (3 x)+4)}",1,"(-5 + x^2 + Log[x])/(12*(1 + x*Log[3*x]))","A",1
7122,1,23,29,0.0194793,"\int \frac{e^{\frac{e^{x/2}+10 x}{2 x}} \left(-24 x+e^{x/2} (-12+6 x)\right)}{x^3} \, dx","Integrate[(E^((E^(x/2) + 10*x)/(2*x))*(-24*x + E^(x/2)*(-12 + 6*x)))/x^3,x]","\frac{24 e^{\frac{e^{x/2}}{2 x}+5}}{x}","\frac{24 e^{\frac{e^{x/2}}{2 x}+5}}{x}+5 \log (\log (4))",1,"(24*E^(5 + E^(x/2)/(2*x)))/x","A",1
7123,1,22,19,0.1598331,"\int \frac{e^{289+25 \log ^2(x)} (171-50 \log (x))}{x^{170} \left(\frac{e^{289+25 \log ^2(x)}}{x^{169}}+x^2\right)} \, dx","Integrate[(E^(289 + 25*Log[x]^2)*(171 - 50*Log[x]))/(x^170*(E^(289 + 25*Log[x]^2)/x^169 + x^2)),x]","171 \log (x)-\log \left(x^{171}+e^{25 \log ^2(x)+289}\right)","\log \left(\frac{x}{x+e^{(5 (\log (x)-4)+3)^2}}\right)",1,"171*Log[x] - Log[E^(289 + 25*Log[x]^2) + x^171]","A",1
7124,1,39,23,0.0479607,"\int \frac{2^{5 x/4} \left(100+\left(125 x-75 x^2+25 e^3 x^2\right) \log (2)\right)}{800-960 x+288 x^2+32 e^6 x^2+e^3 \left(320 x-192 x^2\right)} \, dx","Integrate[(2^((5*x)/4)*(100 + (125*x - 75*x^2 + 25*E^3*x^2)*Log[2]))/(800 - 960*x + 288*x^2 + 32*E^6*x^2 + E^3*(320*x - 192*x^2)),x]","\frac{5\ 2^{\frac{5 x}{4}-3} x \left(\left(e^3-3\right) x \log (2)+\log (32)\right)}{\left(\left(e^3-3\right) x+5\right)^2 \log (2)}","\frac{5\ 2^{\frac{5 x}{4}-3}}{\frac{5}{x}+e^3-3}",1,"(5*2^(-3 + (5*x)/4)*x*((-3 + E^3)*x*Log[2] + Log[32]))/((5 + (-3 + E^3)*x)^2*Log[2])","A",1
7125,1,20,23,0.0189927,"\int \frac{1}{3} \left(3-7 e^{\frac{1}{3} \left(10-3 e^9+7 x\right)}\right) \, dx","Integrate[(3 - 7*E^((10 - 3*E^9 + 7*x)/3))/3,x]","x-e^{\frac{7 x}{3}-e^9+\frac{10}{3}}","x-e^{2 x+\frac{x+4}{3}-e^9+2}",1,"-E^(10/3 - E^9 + (7*x)/3) + x","A",1
7126,1,35,32,0.4305024,"\int \frac{e^{-2-x} \left(-6-12 x-2 x^2+e^{2+x} \left(x^2+3 x^3+x^4+3 x^5+3 x^6+x^7\right)\right)}{x^4+3 x^5+3 x^6+x^7} \, dx","Integrate[(E^(-2 - x)*(-6 - 12*x - 2*x^2 + E^(2 + x)*(x^2 + 3*x^3 + x^4 + 3*x^5 + 3*x^6 + x^7)))/(x^4 + 3*x^5 + 3*x^6 + x^7),x]","\frac{x^6+2 x^5+x^4-x^2+2 e^{-x-2}}{x^3 (x+1)^2}","\frac{2 e^{-x-2}-x^2}{\left(x^2+x\right)^2 x}+x-\log (5)",1,"(2*E^(-2 - x) - x^2 + x^4 + 2*x^5 + x^6)/(x^3*(1 + x)^2)","A",1
7127,1,26,16,0.0988049,"\int \frac{-2048 e^{\frac{-2-x+5 x \log (3)}{x}}+7168 e^{\frac{2 (-2-x+5 x \log (3))}{x}}-10752 e^{\frac{3 (-2-x+5 x \log (3))}{x}}+8960 e^{\frac{4 (-2-x+5 x \log (3))}{x}}-4480 e^{\frac{5 (-2-x+5 x \log (3))}{x}}+1344 e^{\frac{6 (-2-x+5 x \log (3))}{x}}-224 e^{\frac{7 (-2-x+5 x \log (3))}{x}}+16 e^{\frac{8 (-2-x+5 x \log (3))}{x}}}{x^2} \, dx","Integrate[(-2048*E^((-2 - x + 5*x*Log[3])/x) + 7168*E^((2*(-2 - x + 5*x*Log[3]))/x) - 10752*E^((3*(-2 - x + 5*x*Log[3]))/x) + 8960*E^((4*(-2 - x + 5*x*Log[3]))/x) - 4480*E^((5*(-2 - x + 5*x*Log[3]))/x) + 1344*E^((6*(-2 - x + 5*x*Log[3]))/x) - 224*E^((7*(-2 - x + 5*x*Log[3]))/x) + 16*E^((8*(-2 - x + 5*x*Log[3]))/x))/x^2,x]","e^{-\frac{8 (x+2)}{x}} \left(243-2 e^{\frac{2}{x}+1}\right)^8","\left(2-243 e^{-\frac{x+2}{x}}\right)^8",1,"(243 - 2*E^(1 + 2/x))^8/E^((8*(2 + x))/x)","A",1
7128,1,27,29,0.3706055,"\int \frac{1}{4} \left(4+e^{\frac{1}{4} \left(-554725+149161 x-6371 x^2-529 x^3\right)} \left(149161-12742 x-1587 x^2\right)\right) \, dx","Integrate[(4 + E^((-554725 + 149161*x - 6371*x^2 - 529*x^3)/4)*(149161 - 12742*x - 1587*x^2))/4,x]","e^{-\frac{529 x^3}{4}-\frac{6371 x^2}{4}+\frac{149161 x}{4}-\frac{554725}{4}}+x","x+e^{(x+25) \left(3-\left(12 (6-x)+\frac{x+5}{2}\right)^2\right)}",1,"E^(-554725/4 + (149161*x)/4 - (6371*x^2)/4 - (529*x^3)/4) + x","A",1
7129,1,17,19,0.0050291,"\int \left(-3-2 \log \left(\frac{3 x^2}{\log ^2\left(2 e^3\right)}\right)\right) \, dx","Integrate[-3 - 2*Log[(3*x^2)/Log[2*E^3]^2],x]","x-2 x \log \left(\frac{3 x^2}{(3+\log (2))^2}\right)","x-2 x \log \left(\frac{3 x^2}{\log ^2\left(2 e^3\right)}\right)",1,"x - 2*x*Log[(3*x^2)/(3 + Log[2])^2]","A",1
7130,1,51,31,0.3051631,"\int \frac{-1-4 x+\exp \left(e^{10 x^2}-2 e^{5 x^2} x \log \left(\frac{1}{x+4 x^2}\right)+x^2 \log ^2\left(\frac{1}{x+4 x^2}\right)\right) \left(e^{5 x^2} (2+16 x)+e^{10 x^2} \left(20 x+80 x^2\right)+\left(-2 x-16 x^2+e^{5 x^2} \left(-2-8 x-20 x^2-80 x^3\right)\right) \log \left(\frac{1}{x+4 x^2}\right)+\left(2 x+8 x^2\right) \log ^2\left(\frac{1}{x+4 x^2}\right)\right)}{1+4 x} \, dx","Integrate[(-1 - 4*x + E^(E^(10*x^2) - 2*E^(5*x^2)*x*Log[(x + 4*x^2)^(-1)] + x^2*Log[(x + 4*x^2)^(-1)]^2)*(E^(5*x^2)*(2 + 16*x) + E^(10*x^2)*(20*x + 80*x^2) + (-2*x - 16*x^2 + E^(5*x^2)*(-2 - 8*x - 20*x^2 - 80*x^3))*Log[(x + 4*x^2)^(-1)] + (2*x + 8*x^2)*Log[(x + 4*x^2)^(-1)]^2))/(1 + 4*x),x]","\left(\frac{1}{4 x^2+x}\right)^{-2 e^{5 x^2} x} e^{e^{10 x^2}+x^2 \log ^2\left(\frac{1}{4 x^2+x}\right)}-x","e^{\left(x \log \left(\frac{1}{4 x^2+x}\right)-e^{5 x^2}\right)^2}-x-1",1,"-x + E^(E^(10*x^2) + x^2*Log[(x + 4*x^2)^(-1)]^2)/((x + 4*x^2)^(-1))^(2*E^(5*x^2)*x)","A",1
7131,1,27,26,0.0403002,"\int \frac{-10 x-2 x^3+e^2 \left(10+2 x^2\right)+e^5 \left(10+2 x^2\right)+\left(-10 x^2+8 x^3+2 x^4\right) \log ^2(-1+x)+\left(10+2 x^2\right) \log \left(\frac{-5-x}{x}\right)+\log (-1+x) \left(10 x+10 x^2-6 x^3-2 x^4+e^2 \left(-10 x+8 x^2+2 x^3\right)+e^5 \left(-10 x+8 x^2+2 x^3\right)+\left(-10 x+8 x^2+2 x^3\right) \log \left(\frac{-5-x}{x}\right)\right)}{-5 x+4 x^2+x^3} \, dx","Integrate[(-10*x - 2*x^3 + E^2*(10 + 2*x^2) + E^5*(10 + 2*x^2) + (-10*x^2 + 8*x^3 + 2*x^4)*Log[-1 + x]^2 + (10 + 2*x^2)*Log[(-5 - x)/x] + Log[-1 + x]*(10*x + 10*x^2 - 6*x^3 - 2*x^4 + E^2*(-10*x + 8*x^2 + 2*x^3) + E^5*(-10*x + 8*x^2 + 2*x^3) + (-10*x + 8*x^2 + 2*x^3)*Log[(-5 - x)/x]))/(-5*x + 4*x^2 + x^3),x]","\left(-x+x \log (x-1)+\log \left(-\frac{x+5}{x}\right)+e^5+e^2\right)^2","\left(-x+x \log (x-1)+\log \left(-\frac{5}{x}-1\right)+e^5+e^2\right)^2",1,"(E^2 + E^5 - x + x*Log[-1 + x] + Log[-((5 + x)/x)])^2","A",1
7132,1,21,27,0.24311,"\int \frac{1}{64} e^{-x^2+\frac{1}{4} e^{-x^2} \left(4 x+3 e^{x^2} x\right)} \left(-4-3 e^{x^2}+8 x^2\right) \, dx","Integrate[(E^(-x^2 + (4*x + 3*E^x^2*x)/(4*E^x^2))*(-4 - 3*E^x^2 + 8*x^2))/64,x]","-\frac{1}{16} e^{e^{-x^2} x+\frac{3 x}{4}}","\frac{1}{16} \left(e^5-e^{e^{-x^2} x+\frac{3 x}{4}}\right)",1,"-1/16*E^((3*x)/4 + x/E^x^2)","A",1
7133,1,22,29,0.011472,"\int \frac{24 x^2+8 x^4-2 x^6}{48+96 x^2+24 x^3+72 x^4+24 x^5+27 x^6+6 x^7+3 x^8} \, dx","Integrate[(24*x^2 + 8*x^4 - 2*x^6)/(48 + 96*x^2 + 24*x^3 + 72*x^4 + 24*x^5 + 27*x^6 + 6*x^7 + 3*x^8),x]","\frac{2 x^3}{3 \left(x^4+x^3+4 x^2+4\right)}","\frac{2}{3} \left(\frac{x}{\left(x+\frac{2}{x}\right)^2+x}+2\right)+e^2-\log (25)",1,"(2*x^3)/(3*(4 + 4*x^2 + x^3 + x^4))","A",1
7134,1,18,30,0.0045384,"\int \frac{1}{2} \left(26+5 e^x-6 x\right) \, dx","Integrate[(26 + 5*E^x - 6*x)/2,x]","-\frac{3 x^2}{2}+13 x+\frac{5 e^x}{2}","\frac{1}{2} \left(x^2+e^x+5\right)+2 \left(e^x-(3-x)^2\right)+x+4",1,"(5*E^x)/2 + 13*x - (3*x^2)/2","A",1
7135,1,11,10,0.0011667,"\int 2 e^{2 x} \log (25) \, dx","Integrate[2*E^(2*x)*Log[25],x]","\frac{1}{2} e^{2 x} \log (625)","e^{2 x} \log (25)-2",1,"(E^(2*x)*Log[625])/2","A",1
7136,1,22,18,0.0122002,"\int \frac{-x^2+2 x^3-x^4+e^4 (-4+8 x)}{x^2-2 x^3+x^4} \, dx","Integrate[(-x^2 + 2*x^3 - x^4 + E^4*(-4 + 8*x))/(x^2 - 2*x^3 + x^4),x]","-x-\frac{4 e^4}{x-1}+\frac{4 e^4}{x}","-\frac{4 e^4}{x^2-x}-x",1,"(-4*E^4)/(-1 + x) + (4*E^4)/x - x","A",1
7137,1,20,32,0.1571411,"\int \frac{-x^2+e^{e^{4 x^2}} \left(1-x-8 e^{4 x^2} x^2\right)}{e^{e^{4 x^2}} x+x^2} \, dx","Integrate[(-x^2 + E^E^(4*x^2)*(1 - x - 8*E^(4*x^2)*x^2))/(E^E^(4*x^2)*x + x^2),x]","-\log \left(e^{e^{4 x^2}}+x\right)-x+\log (x)","-\log \left(\frac{2 \left(e^{e^{4 x^2}}+x\right)}{x}\right)-x+2 \left(e^2+e^5\right)",1,"-x + Log[x] - Log[E^E^(4*x^2) + x]","A",1
7138,1,60,25,0.058855,"\int \frac{-37-61 x-99 x^2+27 x^3+e^3 \left(-45-81 x+18 x^2\right)+\left(-90-162 x+36 x^2\right) \log (5-x)}{-10+2 x} \, dx","Integrate[(-37 - 61*x - 99*x^2 + 27*x^3 + E^3*(-45 - 81*x + 18*x^2) + (-90 - 162*x + 36*x^2)*Log[5 - x])/(-10 + 2*x),x]","\frac{1}{2} \left(9 x^3+9 e^3 x^2+9 x^2+18 x^2 \log (5-x)+9 e^3 x+11 x+18 x \log (5-x)+18 \log (5-x)\right)","\frac{9}{2} \left(x^2+x+1\right) \left(x+2 \log (5-x)+e^3\right)+x",1,"(11*x + 9*E^3*x + 9*x^2 + 9*E^3*x^2 + 9*x^3 + 18*Log[5 - x] + 18*x*Log[5 - x] + 18*x^2*Log[5 - x])/2","B",1
7139,1,22,22,0.5598405,"\int \frac{-10 x^2+180 e^{-x^2} x^3+\left(-10 x+45 e^{-x^2} x+5 x^2\right) \log \left(-2+9 e^{-x^2}+x\right)}{\left(-2+9 e^{-x^2}+x\right) \log ^5\left(-2+9 e^{-x^2}+x\right)} \, dx","Integrate[(-10*x^2 + (180*x^3)/E^x^2 + (-10*x + (45*x)/E^x^2 + 5*x^2)*Log[-2 + 9/E^x^2 + x])/((-2 + 9/E^x^2 + x)*Log[-2 + 9/E^x^2 + x]^5),x]","\frac{5 x^2}{2 \log ^4\left(9 e^{-x^2}+x-2\right)}","\frac{5 x^2}{2 \log ^4\left(9 e^{-x^2}+x-2\right)}",1,"(5*x^2)/(2*Log[-2 + 9/E^x^2 + x]^4)","A",1
7140,1,39,28,0.1972158,"\int \exp \left(3 x+4 e^{16 x-2 x \log (x)} x-8 e^{8 x-x \log (x)} x^2+4 x^3\right) \left(3+12 x^2+e^{16 x-2 x \log (x)} (4+56 x-8 x \log (x))+e^{8 x-x \log (x)} \left(-16 x-56 x^2+8 x^2 \log (x)\right)\right) \, dx","Integrate[E^(3*x + 4*E^(16*x - 2*x*Log[x])*x - 8*E^(8*x - x*Log[x])*x^2 + 4*x^3)*(3 + 12*x^2 + E^(16*x - 2*x*Log[x])*(4 + 56*x - 8*x*Log[x]) + E^(8*x - x*Log[x])*(-16*x - 56*x^2 + 8*x^2*Log[x])),x]","\exp \left(4 e^{16 x} x^{1-2 x}-8 e^{8 x} x^{2-x}+4 x^3+3 x\right)","\exp \left(x+2 \left(x+2 x \left(e^{8 x-x \log (x)}-x\right)^2\right)\right)",1,"E^(3*x + 4*x^3 + 4*E^(16*x)*x^(1 - 2*x) - 8*E^(8*x)*x^(2 - x))","A",1
7141,1,30,32,0.1051297,"\int \frac{-20+6 x^2+\left(20-6 x^2\right) \log (x) \log (4 \log (x))+\left(-10-3 x^2\right) \log (x) \log (4 \log (x)) \log \left(\frac{\log (4 \log (x))}{2 x}\right) \log \left(\log ^2\left(\frac{\log (4 \log (x))}{2 x}\right)\right)}{\left(-10 x+3 x^3\right) \log (x) \log (4 \log (x)) \log \left(\frac{\log (4 \log (x))}{2 x}\right) \log \left(\log ^2\left(\frac{\log (4 \log (x))}{2 x}\right)\right)} \, dx","Integrate[(-20 + 6*x^2 + (20 - 6*x^2)*Log[x]*Log[4*Log[x]] + (-10 - 3*x^2)*Log[x]*Log[4*Log[x]]*Log[Log[4*Log[x]]/(2*x)]*Log[Log[Log[4*Log[x]]/(2*x)]^2])/((-10*x + 3*x^3)*Log[x]*Log[4*Log[x]]*Log[Log[4*Log[x]]/(2*x)]*Log[Log[Log[4*Log[x]]/(2*x)]^2]),x]","-\log \left(10-3 x^2\right)+\log \left(\log \left(\log ^2\left(\frac{\log (4 \log (x))}{2 x}\right)\right)\right)+\log (x)","\log \left(\frac{4 \log \left(\log ^2\left(\frac{\log (4 \log (x))}{2 x}\right)\right)}{\frac{3 x}{5}-\frac{2}{x}}\right)",1,"Log[x] - Log[10 - 3*x^2] + Log[Log[Log[Log[4*Log[x]]/(2*x)]^2]]","A",1
7142,1,23,24,5.0744065,"\int \frac{e^{e^x-2 x+x^2} \left(e^{2 x} \left(4 x^2+x^3\right)+e^x \left(2 x-4 x^2+7 x^3+2 x^4\right)+\left(e^{2 x} \left(4 x+x^2\right)+e^x \left(-4-5 x+7 x^2+2 x^3\right)\right) \log \left(16+8 x+x^2\right)\right)}{4 x^2+x^3} \, dx","Integrate[(E^(E^x - 2*x + x^2)*(E^(2*x)*(4*x^2 + x^3) + E^x*(2*x - 4*x^2 + 7*x^3 + 2*x^4) + (E^(2*x)*(4*x + x^2) + E^x*(-4 - 5*x + 7*x^2 + 2*x^3))*Log[16 + 8*x + x^2]))/(4*x^2 + x^3),x]","\frac{e^{(x-1) x+e^x} \left(x+\log \left((x+4)^2\right)\right)}{x}","\frac{e^{x^2-x+e^x} \left(x+\log \left((x+4)^2\right)\right)}{x}",1,"(E^(E^x + (-1 + x)*x)*(x + Log[(4 + x)^2]))/x","A",1
7143,1,22,23,0.0038542,"\int \frac{18 e^5 x^2+54 e^5 x^2 \log (x)}{-1+e^5 \left(18 e+e^2\right)} \, dx","Integrate[(18*E^5*x^2 + 54*E^5*x^2*Log[x])/(-1 + E^5*(18*E + E^2)),x]","\frac{18 e^5 x^3 \log (x)}{-1+18 e^6+e^7}","\frac{x^3 \log (x)}{e+\frac{1}{18} \left(e^2-\frac{1}{e^5}\right)}",1,"(18*E^5*x^3*Log[x])/(-1 + 18*E^6 + E^7)","A",1
7144,1,31,29,0.0105766,"\int \frac{-10+2 x^3+\left(3 x^2-4 x^3\right) \log (2)-x^2 \log (5)}{2 x^2} \, dx","Integrate[(-10 + 2*x^3 + (3*x^2 - 4*x^3)*Log[2] - x^2*Log[5])/(2*x^2),x]","\frac{x^2}{2}-\frac{1}{2} x^2 \log (4)+\frac{5}{x}+\frac{1}{2} x \log \left(\frac{8}{5}\right)","\frac{5}{x}-\frac{1}{2} x (-x+(3-2 x) (-\log (2))+\log (5))+e^9",1,"5/x + x^2/2 + (x*Log[8/5])/2 - (x^2*Log[4])/2","A",1
7145,1,24,19,0.0151007,"\int \frac{1}{3} \left(24+e^{\frac{1}{3} (9+5 x)} (3+5 x)+3 \log (4)\right) \, dx","Integrate[(24 + E^((9 + 5*x)/3)*(3 + 5*x) + 3*Log[4])/3,x]","\frac{1}{3} \left(3 e^{\frac{5 x}{3}+3} x+24 x+x \log (64)\right)","x \left(e^{\frac{5 x}{3}+3}+9+\log (4)\right)-x",1,"(24*x + 3*E^(3 + (5*x)/3)*x + x*Log[64])/3","A",1
7146,1,22,18,0.1256818,"\int \frac{e^{\frac{-4+63 x+16 x^2+e^4 \left(-4 x-x^2\right)}{x}} \left(4+16 x^2-e^4 x^2\right)}{x^2} \, dx","Integrate[(E^((-4 + 63*x + 16*x^2 + E^4*(-4*x - x^2))/x)*(4 + 16*x^2 - E^4*x^2))/x^2,x]","e^{-\left(\left(e^4-16\right) x\right)-\frac{4}{x}-4 e^4+63}","e^{\left(-\frac{1}{x}-e^4+16\right) (x+4)}",1,"E^(63 - 4*E^4 - 4/x - (-16 + E^4)*x)","A",1
7147,1,22,20,0.0051468,"\int \frac{e \left(-9+18 x+3 x^2\right)+e x^2 \log \left(x^2\right)}{x^2} \, dx","Integrate[(E*(-9 + 18*x + 3*x^2) + E*x^2*Log[x^2])/x^2,x]","e x \log \left(x^2\right)+e x+\frac{9 e}{x}+18 e \log (x)","e \left((x+9) \left(\log \left(x^2\right)+\frac{1}{x}+2\right)-x+5\right)",1,"(9*E)/x + E*x + 18*E*Log[x] + E*x*Log[x^2]","A",1
7148,1,22,27,0.4310837,"\int \frac{-x^2+3 x^2 \log (x)-5 \log (4) \log ^2(x)}{-x^3 \log (x)+(-5+5 x \log (4)) \log ^2(x)} \, dx","Integrate[(-x^2 + 3*x^2*Log[x] - 5*Log[4]*Log[x]^2)/(-(x^3*Log[x]) + (-5 + 5*x*Log[4])*Log[x]^2),x]","\log (\log (x))-\log \left(x^3-5 x \log (4) \log (x)+5 \log (x)\right)","\log \left(\frac{4}{\frac{x \left(5 \log (4) \log (x)-x^2\right)}{\log (x)}-5}\right)-5",1,"Log[Log[x]] - Log[x^3 + 5*Log[x] - 5*x*Log[4]*Log[x]]","A",1
7149,1,19,19,0.0137936,"\int \frac{-e^4 x-e^4 \log (16)}{x^3 \log (2)+2 x^2 \log (2) \log (16) \log (3 x)+x \log (2) \log ^2(16) \log ^2(3 x)} \, dx","Integrate[(-(E^4*x) - E^4*Log[16])/(x^3*Log[2] + 2*x^2*Log[2]*Log[16]*Log[3*x] + x*Log[2]*Log[16]^2*Log[3*x]^2),x]","\frac{e^4}{\log (2) (x+\log (16) \log (3 x))}","\frac{e^4}{\log (2) (x+\log (16) \log (3 x))}",1,"E^4/(Log[2]*(x + Log[16]*Log[3*x]))","A",1
7150,1,7,14,0.0008941,"\int (3+2 \log (x)) \, dx","Integrate[3 + 2*Log[x],x]","x+2 x \log (x)","x+2 x \log (x)+3 e^{10/3}",1,"x + 2*x*Log[x]","A",1
7151,1,26,27,0.6668284,"\int \frac{-5 x-5 x^2-5 x^4-5 x^5+(-5-5 x) \log (4)+\left(10 x+5 x^2+25 x^4+20 x^5+5 \log (4)\right) \log (-x)+\left(1+2 x+x^2\right) \log ^2(-x)}{\left(5+10 x+5 x^2\right) \log ^2(-x)} \, dx","Integrate[(-5*x - 5*x^2 - 5*x^4 - 5*x^5 + (-5 - 5*x)*Log[4] + (10*x + 5*x^2 + 25*x^4 + 20*x^5 + 5*Log[4])*Log[-x] + (1 + 2*x + x^2)*Log[-x]^2)/((5 + 10*x + 5*x^2)*Log[-x]^2),x]","\frac{x \left(x^4+x+\log (4)\right)}{(x+1) \log (-x)}+\frac{x}{5}","\frac{1}{5} \left(\frac{5 x \left(x^4+x+\log (4)\right)}{(x+1) \log (-x)}+x\right)",1,"x/5 + (x*(x + x^4 + Log[4]))/((1 + x)*Log[-x])","A",1
7152,1,19,19,0.1271596,"\int \frac{e^{\log ^2\left(\frac{x^2 \log (5)}{\log \left(x^3\right)}\right)} \left(-30+20 \log \left(x^3\right)\right) \log \left(\frac{x^2 \log (5)}{\log \left(x^3\right)}\right)}{x \log \left(x^3\right)} \, dx","Integrate[(E^Log[(x^2*Log[5])/Log[x^3]]^2*(-30 + 20*Log[x^3])*Log[(x^2*Log[5])/Log[x^3]])/(x*Log[x^3]),x]","5 e^{\log ^2\left(\frac{x^2 \log (5)}{\log \left(x^3\right)}\right)}","5 e^{\log ^2\left(\frac{x^2 \log (5)}{\log \left(x^3\right)}\right)}",1,"5*E^Log[(x^2*Log[5])/Log[x^3]]^2","A",1
7153,1,27,23,0.0357076,"\int \frac{e^{-2 x} \left((-6+12 x) \log (2)+e^{2 x} \left(e^4+6 x \log (2)+\log (2) \log (5)\right)\right)}{\log (2)} \, dx","Integrate[((-6 + 12*x)*Log[2] + E^(2*x)*(E^4 + 6*x*Log[2] + Log[2]*Log[5]))/(E^(2*x)*Log[2]),x]","3 x^2-6 e^{-2 x} x+x \log (5)+\frac{e^4 x}{\log (2)}","x \left(3 x-6 e^{-2 x}+\log (5)+\frac{e^4}{\log (2)}\right)",1,"(-6*x)/E^(2*x) + 3*x^2 + (E^4*x)/Log[2] + x*Log[5]","A",1
7154,1,79,24,0.1928818,"\int \frac{\exp \left(\frac{36+48 x-7 x^2-7 x^3+x^4+\left(-3 x^2+x^3\right) \log (5)}{-12-20 x-4 x^2+x^3+x^2 \log (5)}\right) \left(144+456 x+476 x^2+136 x^3-25 x^4-8 x^5+x^6+\left(-24 x^2-40 x^3-8 x^4+2 x^5\right) \log (5)+x^4 \log ^2(5)\right)}{144+480 x+496 x^2+136 x^3-24 x^4-8 x^5+x^6+\left(-24 x^2-40 x^3-8 x^4+2 x^5\right) \log (5)+x^4 \log ^2(5)} \, dx","Integrate[(E^((36 + 48*x - 7*x^2 - 7*x^3 + x^4 + (-3*x^2 + x^3)*Log[5])/(-12 - 20*x - 4*x^2 + x^3 + x^2*Log[5]))*(144 + 456*x + 476*x^2 + 136*x^3 - 25*x^4 - 8*x^5 + x^6 + (-24*x^2 - 40*x^3 - 8*x^4 + 2*x^5)*Log[5] + x^4*Log[5]^2))/(144 + 480*x + 496*x^2 + 136*x^3 - 24*x^4 - 8*x^5 + x^6 + (-24*x^2 - 40*x^3 - 8*x^4 + 2*x^5)*Log[5] + x^4*Log[5]^2),x]","5^{-\frac{x^2 \log (5)}{x^3+x^2 (\log (5)-4)-20 x-12}} \exp \left(\frac{x^4+x^3 (\log (5)-7)+x^2 \left(-7+\log ^2(5)-3 \log (5)\right)+48 x+36}{x^3+x^2 (\log (5)-4)-20 x-12}\right)","e^{x+\frac{1}{x-\frac{4 \left(x+\frac{3}{x}+5\right)}{x}+\log (5)}-3}",1,"E^((36 + 48*x + x^4 + x^3*(-7 + Log[5]) + x^2*(-7 - 3*Log[5] + Log[5]^2))/(-12 - 20*x + x^3 + x^2*(-4 + Log[5])))/5^((x^2*Log[5])/(-12 - 20*x + x^3 + x^2*(-4 + Log[5])))","B",1
7155,1,73,24,0.0132467,"\int \frac{6-3 x-2 x^2+88 x^4+40 x^5-170 x^6-70 x^7-128 x^8+400 x^{10}-300 x^{12}+\left(-2+2 x-32 x^4+60 x^6\right) \log (x)}{x} \, dx","Integrate[(6 - 3*x - 2*x^2 + 88*x^4 + 40*x^5 - 170*x^6 - 70*x^7 - 128*x^8 + 400*x^10 - 300*x^12 + (-2 + 2*x - 32*x^4 + 60*x^6)*Log[x])/x,x]","-25 x^{12}+40 x^{10}-16 x^8-10 x^7-30 x^6+10 x^6 \log (x)+8 x^5+24 x^4-8 x^4 \log (x)-x^2-5 x-\log ^2(x)+2 x \log (x)+6 \log (x)","x-\left(\left(5 x^2-4\right) x^4+x-\log (x)+3\right)^2",1,"-5*x - x^2 + 24*x^4 + 8*x^5 - 30*x^6 - 10*x^7 - 16*x^8 + 40*x^10 - 25*x^12 + 6*Log[x] + 2*x*Log[x] - 8*x^4*Log[x] + 10*x^6*Log[x] - Log[x]^2","B",1
7156,1,24,22,0.177209,"\int \frac{165+1920 x+8320 x^2-61440 x^4+\left(-165-3840 x-30720 x^2-81920 x^3\right) \log (x)}{x^2+2 x \log (x)+\log ^2(x)} \, dx","Integrate[(165 + 1920*x + 8320*x^2 - 61440*x^4 + (-165 - 3840*x - 30720*x^2 - 81920*x^3)*Log[x])/(x^2 + 2*x*Log[x] + Log[x]^2),x]","-\frac{5 x \left(4096 x^3+2048 x^2+384 x+33\right)}{x+\log (x)}","\frac{5 \left(-(8 x+1)^4-x+1\right)}{x+\log (x)}",1,"(-5*x*(33 + 384*x + 2048*x^2 + 4096*x^3))/(x + Log[x])","A",1
7157,1,28,29,0.2211729,"\int \frac{-45-20 x-10 x^2+e^{2 x} \left(-2 x-x^2\right)+e^x \left(-9-5 x-x^2-3 x^3\right)}{45 x+55 x^2+10 x^3+e^{2 x} \left(x^2+x^3\right)+e^x \left(9 x+16 x^2+7 x^3\right)} \, dx","Integrate[(-45 - 20*x - 10*x^2 + E^(2*x)*(-2*x - x^2) + E^x*(-9 - 5*x - x^2 - 3*x^3))/(45*x + 55*x^2 + 10*x^3 + E^(2*x)*(x^2 + x^3) + E^x*(9*x + 16*x^2 + 7*x^3)),x]","\log \left(e^x+5\right)-\log (x)+\log (x+1)-\log \left(e^x x+2 x+9\right)","\log \left(\frac{x+1}{2 x \left(\frac{3 (3-x)}{e^x+5}+x\right)}\right)",1,"Log[5 + E^x] - Log[x] + Log[1 + x] - Log[9 + 2*x + E^x*x]","A",1
7158,1,22,22,0.1183845,"\int \left(e^{4-x} (-12-3 x)+e^{4-x+x^2} (-6+12 x) \log (\log (4))\right) \, dx","Integrate[E^(4 - x)*(-12 - 3*x) + E^(4 - x + x^2)*(-6 + 12*x)*Log[Log[4]],x]","3 e^{4-x} \left(2 e^{x^2} \log (\log (4))+x+5\right)","3 e^{4-x} \left(2 e^{x^2} \log (\log (4))+x+5\right)",1,"3*E^(4 - x)*(5 + x + 2*E^x^2*Log[Log[4]])","A",1
7159,1,22,28,0.229013,"\int \frac{1}{2} e^{3+x-e^{16+x} x-x^2} \left(1+e^{16+x} (-1-x)-2 x\right) \, dx","Integrate[(E^(3 + x - E^(16 + x)*x - x^2)*(1 + E^(16 + x)*(-1 - x) - 2*x))/2,x]","\frac{1}{2} e^{-x^2-e^{x+16} x+x+3}","\frac{1}{2} \left(e^{-\left(\left(x+e^{x+16}\right) x\right)+x+3}-5-e^{e^4}\right)",1,"E^(3 + x - E^(16 + x)*x - x^2)/2","A",1
7160,1,25,30,0.062512,"\int \frac{1}{5} e^{-e^{\frac{1}{5} \left(-7-7 x+4 x^2\right)}} \left(-5+e^{\frac{1}{5} \left(-7-7 x+4 x^2\right)} \left(-63+65 x+8 x^2\right)\right) \, dx","Integrate[(-5 + E^((-7 - 7*x + 4*x^2)/5)*(-63 + 65*x + 8*x^2))/(5*E^E^((-7 - 7*x + 4*x^2)/5)),x]","-e^{-e^{\frac{1}{5} \left(4 x^2-7 x-7\right)}} (x+9)","1-e^{-e^{\frac{1}{5} (x-4 (3-x) (x+1)+5)}} (x+9)",1,"-((9 + x)/E^E^((-7 - 7*x + 4*x^2)/5))","A",1
7161,1,23,23,0.0128146,"\int \frac{-2 e^4 x+e^x x-6 e^{-6+3 x} x}{2 x} \, dx","Integrate[(-2*E^4*x + E^x*x - 6*E^(-6 + 3*x)*x)/(2*x),x]","-e^4 x+\frac{e^x}{2}-e^{3 x-6}","-e^4 x+\frac{e^x}{2}-e^{3 x-6}",1,"E^x/2 - E^(-6 + 3*x) - E^4*x","A",1
7162,1,9,18,0.0004182,"\int -\frac{15 \log (5)}{2 x^2} \, dx","Integrate[(-15*Log[5])/(2*x^2),x]","\frac{15 \log (5)}{2 x}","5 \left(e^4-\frac{(x-3) \log (5)}{2 x}\right)",1,"(15*Log[5])/(2*x)","A",1
7163,1,29,29,0.165216,"\int \frac{-72-12 x+16 x^2+4 x^3+e^2 (-72+36 x)+\left(18+e^2 (18-9 x)+3 x-4 x^2-x^3\right) \log \left(\frac{1}{9} \left(9+9 e^2+6 x+x^2\right)\right)+\left(-48-28 x+2 x^2+2 x^3+\left(-24-2 x+2 x^2\right) \log \left(16-8 x+x^2\right)\right) \log \left(2+x+\log \left(16-8 x+x^2\right)\right)}{\left(-72-66 x-11 x^2+4 x^3+x^4+e^2 \left(-72-18 x+9 x^2\right)+\left(-36-15 x+2 x^2+x^3+e^2 (-36+9 x)\right) \log \left(16-8 x+x^2\right)\right) \log ^2\left(2+x+\log \left(16-8 x+x^2\right)\right)} \, dx","Integrate[(-72 - 12*x + 16*x^2 + 4*x^3 + E^2*(-72 + 36*x) + (18 + E^2*(18 - 9*x) + 3*x - 4*x^2 - x^3)*Log[(9 + 9*E^2 + 6*x + x^2)/9] + (-48 - 28*x + 2*x^2 + 2*x^3 + (-24 - 2*x + 2*x^2)*Log[16 - 8*x + x^2])*Log[2 + x + Log[16 - 8*x + x^2]])/((-72 - 66*x - 11*x^2 + 4*x^3 + x^4 + E^2*(-72 - 18*x + 9*x^2) + (-36 - 15*x + 2*x^2 + x^3 + E^2*(-36 + 9*x))*Log[16 - 8*x + x^2])*Log[2 + x + Log[16 - 8*x + x^2]]^2),x]","\frac{\log \left(\frac{1}{9} (x+3)^2+e^2\right)-4}{\log \left(x+\log \left((x-4)^2\right)+2\right)}","\frac{\log \left(\left(\frac{x}{3}+1\right)^2+e^2\right)-4}{\log \left(x+\log \left((x-4)^2\right)+2\right)}",1,"(-4 + Log[E^2 + (3 + x)^2/9])/Log[2 + x + Log[(-4 + x)^2]]","A",1
7164,0,0,25,0.3638525,"\int \frac{\left(-20 x+e^{3+2 x} \left(16 x+16 x^2+4 x^3\right)\right) \log (x) \log \left(\frac{-5 x+e^{3+2 x} (2+x)}{2+x}\right)+\left(20 x+10 x^2+e^{3+2 x} \left(-8-8 x-2 x^2\right)+\left(-10 x-5 x^2+e^{3+2 x} \left(4+4 x+x^2\right)\right) \log (x)\right) \log ^2\left(\frac{-5 x+e^{3+2 x} (2+x)}{2+x}\right)}{\left(-10 x-5 x^2+e^{3+2 x} \left(4+4 x+x^2\right)\right) \log ^3(x)} \, dx","Integrate[((-20*x + E^(3 + 2*x)*(16*x + 16*x^2 + 4*x^3))*Log[x]*Log[(-5*x + E^(3 + 2*x)*(2 + x))/(2 + x)] + (20*x + 10*x^2 + E^(3 + 2*x)*(-8 - 8*x - 2*x^2) + (-10*x - 5*x^2 + E^(3 + 2*x)*(4 + 4*x + x^2))*Log[x])*Log[(-5*x + E^(3 + 2*x)*(2 + x))/(2 + x)]^2)/((-10*x - 5*x^2 + E^(3 + 2*x)*(4 + 4*x + x^2))*Log[x]^3),x]","\int \frac{\left(-20 x+e^{3+2 x} \left(16 x+16 x^2+4 x^3\right)\right) \log (x) \log \left(\frac{-5 x+e^{3+2 x} (2+x)}{2+x}\right)+\left(20 x+10 x^2+e^{3+2 x} \left(-8-8 x-2 x^2\right)+\left(-10 x-5 x^2+e^{3+2 x} \left(4+4 x+x^2\right)\right) \log (x)\right) \log ^2\left(\frac{-5 x+e^{3+2 x} (2+x)}{2+x}\right)}{\left(-10 x-5 x^2+e^{3+2 x} \left(4+4 x+x^2\right)\right) \log ^3(x)} \, dx","\frac{x \log ^2\left(e^{2 x+3}-\frac{5 x}{x+2}\right)}{\log ^2(x)}",1,"Integrate[((-20*x + E^(3 + 2*x)*(16*x + 16*x^2 + 4*x^3))*Log[x]*Log[(-5*x + E^(3 + 2*x)*(2 + x))/(2 + x)] + (20*x + 10*x^2 + E^(3 + 2*x)*(-8 - 8*x - 2*x^2) + (-10*x - 5*x^2 + E^(3 + 2*x)*(4 + 4*x + x^2))*Log[x])*Log[(-5*x + E^(3 + 2*x)*(2 + x))/(2 + x)]^2)/((-10*x - 5*x^2 + E^(3 + 2*x)*(4 + 4*x + x^2))*Log[x]^3), x]","F",-1
7165,1,15,15,0.1777284,"\int \frac{e^{\frac{x+(3+x) \log (x)}{\log (x)}} \left(-x+x \log (x)+(-2+x) \log ^2(x)\right)}{x^3 \log ^2(x)} \, dx","Integrate[(E^((x + (3 + x)*Log[x])/Log[x])*(-x + x*Log[x] + (-2 + x)*Log[x]^2))/(x^3*Log[x]^2),x]","\frac{e^{x+\frac{x}{\log (x)}+3}}{x^2}","\frac{e^{x+\frac{x}{\log (x)}+3}}{x^2}",1,"E^(3 + x + x/Log[x])/x^2","A",1
7166,1,31,33,0.1548646,"\int \frac{3 x-4 x^2+2 x^3+e^{x/2} \left(6 x-8 x^2\right)+e^x \left(-x+2 x^2\right)+\left(-2-8 e^{x/2}+2 e^x+2 x\right) \log (x)}{-x-4 e^{x/2} x+e^x x+x^2} \, dx","Integrate[(3*x - 4*x^2 + 2*x^3 + E^(x/2)*(6*x - 8*x^2) + E^x*(-x + 2*x^2) + (-2 - 8*E^(x/2) + 2*E^x + 2*x)*Log[x])/(-x - 4*E^(x/2)*x + E^x*x + x^2),x]","x^2-2 x+\log ^2(x)+\log \left(-x+4 e^{x/2}-e^x+1\right)","(1-x)^2+\log ^2(x)+\log \left(-x+4 e^{x/2}-e^x+1\right)+1",1,"-2*x + x^2 + Log[1 + 4*E^(x/2) - E^x - x] + Log[x]^2","A",1
7167,1,39,36,0.6912473,"\int \frac{-25+100 x-19 x^2+e^{e^{x^2-2 x^2 \log (2)+x^2 \log ^2(2)}} \left(25-x^2+e^{x^2-2 x^2 \log (2)+x^2 \log ^2(2)} \left(50 x^2-20 x^3+2 x^4+\left(-100 x^2+40 x^3-4 x^4\right) \log (2)+\left(50 x^2-20 x^3+2 x^4\right) \log ^2(2)\right)\right)}{x^2+e^{2 e^{x^2-2 x^2 \log (2)+x^2 \log ^2(2)}} x^2-4 x^3+4 x^4+e^{e^{x^2-2 x^2 \log (2)+x^2 \log ^2(2)}} \left(-2 x^2+4 x^3\right)} \, dx","Integrate[(-25 + 100*x - 19*x^2 + E^E^(x^2 - 2*x^2*Log[2] + x^2*Log[2]^2)*(25 - x^2 + E^(x^2 - 2*x^2*Log[2] + x^2*Log[2]^2)*(50*x^2 - 20*x^3 + 2*x^4 + (-100*x^2 + 40*x^3 - 4*x^4)*Log[2] + (50*x^2 - 20*x^3 + 2*x^4)*Log[2]^2)))/(x^2 + E^(2*E^(x^2 - 2*x^2*Log[2] + x^2*Log[2]^2))*x^2 - 4*x^3 + 4*x^4 + E^E^(x^2 - 2*x^2*Log[2] + x^2*Log[2]^2)*(-2*x^2 + 4*x^3)),x]","-\frac{(x-5)^2}{x \left(e^{4^{-x^2} e^{x^2 \left(1+\log ^2(2)\right)}}+2 x-1\right)}","\frac{x \left(\frac{5}{x}-1\right)^2}{-2 x-e^{e^{(x \log (2)-x)^2}}+1}+5",1,"-((-5 + x)^2/(x*(-1 + E^(E^(x^2*(1 + Log[2]^2))/4^x^2) + 2*x)))","A",1
7168,1,17,27,0.0182658,"\int \frac{\left(-35+14 x+x^2\right) \log (3)+28 \log ^2(3)}{25 x^2-10 x^3+x^4+\left(-40 x^2+8 x^3\right) \log (3)+16 x^2 \log ^2(3)} \, dx","Integrate[((-35 + 14*x + x^2)*Log[3] + 28*Log[3]^2)/(25*x^2 - 10*x^3 + x^4 + (-40*x^2 + 8*x^3)*Log[3] + 16*x^2*Log[3]^2),x]","-\frac{(x+7) \log (3)}{x (x-5+\log (81))}","-\frac{\frac{7}{x}+1}{\frac{x-5}{\log (3)}+4}+1+5 \log (64)",1,"-(((7 + x)*Log[3])/(x*(-5 + x + Log[81])))","A",1
7169,1,32,22,0.4319343,"\int \frac{-2 e^{x+\frac{1}{\log (64)}} x+e^{\frac{1}{\log (64)}} (1+x)}{-x-2 e^{x+\frac{1}{\log (64)}} x+e^{\frac{1}{\log (64)}} x^2+e^{\frac{1}{\log (64)}} x \log (x)} \, dx","Integrate[(-2*E^(x + Log[64]^(-1))*x + E^Log[64]^(-1)*(1 + x))/(-x - 2*E^(x + Log[64]^(-1))*x + E^Log[64]^(-1)*x^2 + E^Log[64]^(-1)*x*Log[x]),x]","\log \left(x \left(-e^{\frac{1}{\log (64)}}\right)+2 e^{x+\frac{1}{\log (64)}}-e^{\frac{1}{\log (64)}} \log (x)+1\right)","\log \left(-x+2 e^x-\log (x)+e^{-\frac{1}{\log (64)}}\right)",1,"Log[1 + 2*E^(x + Log[64]^(-1)) - E^Log[64]^(-1)*x - E^Log[64]^(-1)*Log[x]]","A",1
7170,1,22,26,0.0041456,"\int \frac{-4-x^2+x^5 \log \left(x^2\right)+x^5 \log ^2\left(x^2\right)}{x^2} \, dx","Integrate[(-4 - x^2 + x^5*Log[x^2] + x^5*Log[x^2]^2)/x^2,x]","\frac{1}{4} x^4 \log ^2\left(x^2\right)-x+\frac{4}{x}","\frac{-x^2+\frac{1}{4} x^5 \log ^2\left(x^2\right)+4}{x}+4",1,"4/x - x + (x^4*Log[x^2]^2)/4","A",1
7171,1,18,13,0.0018868,"\int \frac{e^2 (-490-49 x)}{15 x^3} \, dx","Integrate[(E^2*(-490 - 49*x))/(15*x^3),x]","-\frac{49}{15} e^2 \left(-\frac{5}{x^2}-\frac{1}{x}\right)","\frac{49 e^2 (x+5)}{15 x^2}",1,"(-49*E^2*(-5/x^2 - x^(-1)))/15","A",1
7172,1,26,25,1.3613653,"\int \frac{e^{e^{x^2}+x^{\frac{1}{x}}} \left(250 x-500 e^{x^2} x^3+x^{\frac{1}{x}} (-250+250 \log (x))\right)}{125 e^{3 e^{x^2}+3 x^{\frac{1}{x}}}-1050 e^{2 e^{x^2}+2 x^{\frac{1}{x}}} x+2940 e^{e^{x^2}+x^{\frac{1}{x}}} x^2-2744 x^3} \, dx","Integrate[(E^(E^x^2 + x^x^(-1))*(250*x - 500*E^x^2*x^3 + x^x^(-1)*(-250 + 250*Log[x])))/(125*E^(3*E^x^2 + 3*x^x^(-1)) - 1050*E^(2*E^x^2 + 2*x^x^(-1))*x + 2940*E^(E^x^2 + x^x^(-1))*x^2 - 2744*x^3),x]","\frac{25 x^2}{\left(5 e^{x^{\frac{1}{x}}+e^{x^2}}-14 x\right)^2}","\frac{x^2}{\left(e^{x^{\frac{1}{x}}+e^{x^2}}-\frac{14 x}{5}\right)^2}",1,"(25*x^2)/(5*E^(E^x^2 + x^x^(-1)) - 14*x)^2","A",1
7173,1,24,20,0.0551181,"\int \frac{e^{-5-x} \left(-1024-1024 x-21 x^2-15 x^3\right)}{4 x^2} \, dx","Integrate[(E^(-5 - x)*(-1024 - 1024*x - 21*x^2 - 15*x^3))/(4*x^2),x]","\frac{e^{-x-5} \left(15 x^2+36 x+1024\right)}{4 x}","e^{-x-5} \left(\frac{15 x}{4}+\frac{256}{x}+9\right)",1,"(E^(-5 - x)*(1024 + 36*x + 15*x^2))/(4*x)","A",1
7174,1,32,26,0.1832304,"\int \frac{-160+\left(-4000+e^{7-x} (-1600-800 x)+e^{14-2 x} (-160-160 x)\right) \log (x)+160 \log (x) \log \left(4 \log ^2(x)\right)}{x^3 \log (x)} \, dx","Integrate[(-160 + (-4000 + E^(7 - x)*(-1600 - 800*x) + E^(14 - 2*x)*(-160 - 160*x))*Log[x] + 160*Log[x]*Log[4*Log[x]^2])/(x^3*Log[x]),x]","\frac{80 \left(e^{-2 x} \left(5 e^x+e^7\right)^2-\log \left(4 \log ^2(x)\right)\right)}{x^2}","\frac{80 \left(\left(e^{7-x}+5\right)^2-\log \left(4 \log ^2(x)\right)\right)}{x^2}",1,"(80*((E^7 + 5*E^x)^2/E^(2*x) - Log[4*Log[x]^2]))/x^2","A",1
7175,1,17,21,0.0100552,"\int \frac{e^{-3-x} (-2+(1-x) \log (x))}{\log (5) \log ^3(x)} \, dx","Integrate[(E^(-3 - x)*(-2 + (1 - x)*Log[x]))/(Log[5]*Log[x]^3),x]","\frac{e^{-x-3} x}{\log (5) \log ^2(x)}","\frac{e^{-x-3} x}{\log (5) \log ^2(x)}+e^4",1,"(E^(-3 - x)*x)/(Log[5]*Log[x]^2)","A",1
7176,1,57,28,0.3246572,"\int \frac{-6625-45000 e^{2 e^{e^x}+e^x+x}-3200 x-4000 \log (3)+e^{e^{e^x}} \left(12000+e^{e^x+x} (22500+12000 x+15000 \log (3))\right)}{50625+810000 e^{4 e^{e^x}}+119250 x+99025 x^2+33920 x^3+4096 x^4+e^{3 e^{e^x}} (-1620000-864000 x-1080000 \log (3))+\left(135000+231000 x+123200 x^2+20480 x^3\right) \log (3)+\left(135000+149000 x+38400 x^2\right) \log ^2(3)+(60000+32000 x) \log ^3(3)+10000 \log ^4(3)+e^{2 e^{e^x}} \left(1215000+1341000 x+345600 x^2+(1620000+864000 x) \log (3)+540000 \log ^2(3)\right)+e^{e^{e^x}} \left(-405000-693000 x-369600 x^2-61440 x^3+\left(-810000-894000 x-230400 x^2\right) \log (3)+(-540000-288000 x) \log ^2(3)-120000 \log ^3(3)\right)} \, dx","Integrate[(-6625 - 45000*E^(2*E^E^x + E^x + x) - 3200*x - 4000*Log[3] + E^E^E^x*(12000 + E^(E^x + x)*(22500 + 12000*x + 15000*Log[3])))/(50625 + 810000*E^(4*E^E^x) + 119250*x + 99025*x^2 + 33920*x^3 + 4096*x^4 + E^(3*E^E^x)*(-1620000 - 864000*x - 1080000*Log[3]) + (135000 + 231000*x + 123200*x^2 + 20480*x^3)*Log[3] + (135000 + 149000*x + 38400*x^2)*Log[3]^2 + (60000 + 32000*x)*Log[3]^3 + 10000*Log[3]^4 + E^(2*E^E^x)*(1215000 + 1341000*x + 345600*x^2 + (1620000 + 864000*x)*Log[3] + 540000*Log[3]^2) + E^E^E^x*(-405000 - 693000*x - 369600*x^2 - 61440*x^3 + (-810000 - 894000*x - 230400*x^2)*Log[3] + (-540000 - 288000*x)*Log[3]^2 - 120000*Log[3]^3)),x]","\frac{25}{64 x^2+900 e^{2 e^{e^x}}+5 x (53+32 \log (3))-60 e^{e^{e^x}} (8 x+5 (3+\log (9)))+25 (3+\log (9))^2}","\frac{1}{x+\left(5-2 \left(\frac{4 x}{5}-3 e^{e^{e^x}}+4+\log (3)\right)\right)^2}",1,"25/(900*E^(2*E^E^x) + 64*x^2 + 5*x*(53 + 32*Log[3]) + 25*(3 + Log[9])^2 - 60*E^E^E^x*(8*x + 5*(3 + Log[9])))","B",1
7177,1,20,20,0.1950789,"\int \frac{-1296 x^2+\left(-13932-648 x^2\right) \log \left(\frac{1}{2} \left(43+2 x^2\right)\right) \log \left(\log \left(\frac{1}{2} \left(43+2 x^2\right)\right)\right) \log \left(\log \left(\log \left(\frac{1}{2} \left(43+2 x^2\right)\right)\right)\right)}{e^3 \left(43 x^5+2 x^7\right) \log \left(\frac{1}{2} \left(43+2 x^2\right)\right) \log \left(\log \left(\frac{1}{2} \left(43+2 x^2\right)\right)\right) \log ^5\left(\log \left(\log \left(\frac{1}{2} \left(43+2 x^2\right)\right)\right)\right)} \, dx","Integrate[(-1296*x^2 + (-13932 - 648*x^2)*Log[(43 + 2*x^2)/2]*Log[Log[(43 + 2*x^2)/2]]*Log[Log[Log[(43 + 2*x^2)/2]]])/(E^3*(43*x^5 + 2*x^7)*Log[(43 + 2*x^2)/2]*Log[Log[(43 + 2*x^2)/2]]*Log[Log[Log[(43 + 2*x^2)/2]]]^5),x]","\frac{81}{e^3 x^4 \log ^4\left(\log \left(\log \left(x^2+\frac{43}{2}\right)\right)\right)}","\frac{81}{e^3 x^4 \log ^4\left(\log \left(\log \left(x^2+\frac{43}{2}\right)\right)\right)}",1,"81/(E^3*x^4*Log[Log[Log[43/2 + x^2]]]^4)","A",1
7178,1,15,16,0.0079868,"\int \left(3 x^2-16 x^3+20 x^4+5 e^{16} x^4+e^8 \left(-8 x^3+20 x^4\right)\right) \, dx","Integrate[3*x^2 - 16*x^3 + 20*x^4 + 5*E^16*x^4 + E^8*(-8*x^3 + 20*x^4),x]","x^3 \left(\left(2+e^8\right) x-1\right)^2","x \left(x-\left(2+e^8\right) x^2\right)^2",1,"x^3*(-1 + (2 + E^8)*x)^2","A",1
7179,1,23,22,0.5144924,"\int \frac{-1+x^{e^4 x+4 e^{5-x} x} \left(e^4 x+4 e^{5-x} x+\left(e^4 x+4 e^{5-x} \left(x-x^2\right)\right) \log (x)\right)}{x} \, dx","Integrate[(-1 + x^(E^4*x + 4*E^(5 - x)*x)*(E^4*x + 4*E^(5 - x)*x + (E^4*x + 4*E^(5 - x)*(x - x^2))*Log[x]))/x,x]","x^{e^4 \left(4 e^{1-x}+1\right) x}-\log (x)","x^{\left(4 e^{5-x}+e^4\right) x}-\log (x)",1,"x^(E^4*(1 + 4*E^(1 - x))*x) - Log[x]","A",1
7180,1,17,19,0.2123651,"\int \frac{-4 x-4 e^x x+\left(4 e^x+4 x+4 \log (4)\right) \log \left(e^x+x+\log (4)\right)+\left(8 e^x+8 x+8 \log (4)\right) \log ^2\left(e^x+x+\log (4)\right)}{\left(e^x+x+\log (4)\right) \log ^2\left(e^x+x+\log (4)\right)} \, dx","Integrate[(-4*x - 4*E^x*x + (4*E^x + 4*x + 4*Log[4])*Log[E^x + x + Log[4]] + (8*E^x + 8*x + 8*Log[4])*Log[E^x + x + Log[4]]^2)/((E^x + x + Log[4])*Log[E^x + x + Log[4]]^2),x]","8 x+\frac{4 x}{\log \left(x+e^x+\log (4)\right)}","4 \left(2 x+\frac{x}{\log \left(x+e^x+\log (4)\right)}+5\right)",1,"8*x + (4*x)/Log[E^x + x + Log[4]]","A",1
7181,1,27,19,0.0124388,"\int \left(e \left(-13+9 x^2\right)+e \log (16)+e^x \left(-13+6 x+3 x^2+\log (16)\right)\right) \, dx","Integrate[E*(-13 + 9*x^2) + E*Log[16] + E^x*(-13 + 6*x + 3*x^2 + Log[16]),x]","3 e x^3+e^x \left(3 x^2-13+\log (16)\right)+e x (\log (16)-13)","\left(e x+e^x\right) \left(3 \left(x^2-3\right)-4+\log (16)\right)",1,"3*E*x^3 + E*x*(-13 + Log[16]) + E^x*(-13 + 3*x^2 + Log[16])","A",1
7182,1,11,19,0.002169,"\int e^{x^2} (8 x-2 x \log (3)) \, dx","Integrate[E^x^2*(8*x - 2*x*Log[3]),x]","-e^{x^2} (\log (3)-4)","(4-\log (3)) \left(e^{x^2}-\log (2)\right)+2",1,"-(E^x^2*(-4 + Log[3]))","A",1
7183,1,25,21,0.3497419,"\int \frac{-24+8 e^x-8 x-4 x^2}{78-12 x+13 x^2-2 x^3+e^x (-13+2 x)+\left(-12+2 e^x-2 x^2\right) \log \left(18-3 e^x+3 x^2\right)} \, dx","Integrate[(-24 + 8*E^x - 8*x - 4*x^2)/(78 - 12*x + 13*x^2 - 2*x^3 + E^x*(-13 + 2*x) + (-12 + 2*E^x - 2*x^2)*Log[18 - 3*E^x + 3*x^2]),x]","2 \log \left(-2 \log \left(x^2-e^x+6\right)-2 x+13-\log (9)\right)","\log \left(\left(\log \left(3 \left(x^2-e^x+6\right)\right)+x-\frac{13}{2}\right)^2\right)",1,"2*Log[13 - 2*x - Log[9] - 2*Log[6 - E^x + x^2]]","A",1
7184,1,28,15,0.0037949,"\int \frac{-89+4 x+4 x^2-6 \log (x)-\log ^2(x)}{x^2} \, dx","Integrate[(-89 + 4*x + 4*x^2 - 6*Log[x] - Log[x]^2)/x^2,x]","4 x+\frac{97}{x}+\frac{\log ^2(x)}{x}+\frac{8 \log (x)}{x}+4 \log (x)","\frac{(2 x+\log (x)+4)^2+81}{x}",1,"97/x + 4*x + 4*Log[x] + (8*Log[x])/x + Log[x]^2/x","A",1
7185,1,17,18,0.0384444,"\int \frac{6+203 x+200 x^2+50 x^3-3 x \log (x)}{120 x+120 x^2+30 x^3} \, dx","Integrate[(6 + 203*x + 200*x^2 + 50*x^3 - 3*x*Log[x])/(120*x + 120*x^2 + 30*x^3),x]","\frac{1}{30} \left(50 x+\frac{3 \log (x)}{x+2}\right)","\frac{5 x}{3}+\frac{\log (x)}{10 (x+2)}+12",1,"(50*x + (3*Log[x])/(2 + x))/30","A",1
7186,0,0,34,0.3813571,"\int \frac{300-120 x^2+12 x^4+2^{-\frac{x}{-5+x^2}} \left(-75+150 x-45 x^2-60 x^3+27 x^4+6 x^5-3 x^6+\left(-15 x+30 x^2-18 x^3+6 x^4-3 x^5\right) \log (2)\right)}{100-200 x+60 x^2+80 x^3-36 x^4-8 x^5+4 x^6} \, dx","Integrate[(300 - 120*x^2 + 12*x^4 + (-75 + 150*x - 45*x^2 - 60*x^3 + 27*x^4 + 6*x^5 - 3*x^6 + (-15*x + 30*x^2 - 18*x^3 + 6*x^4 - 3*x^5)*Log[2])/2^(x/(-5 + x^2)))/(100 - 200*x + 60*x^2 + 80*x^3 - 36*x^4 - 8*x^5 + 4*x^6),x]","\int \frac{300-120 x^2+12 x^4+2^{-\frac{x}{-5+x^2}} \left(-75+150 x-45 x^2-60 x^3+27 x^4+6 x^5-3 x^6+\left(-15 x+30 x^2-18 x^3+6 x^4-3 x^5\right) \log (2)\right)}{100-200 x+60 x^2+80 x^3-36 x^4-8 x^5+4 x^6} \, dx","3 \left(-\frac{x}{x^2-x}-2^{\frac{1}{\frac{5}{x}-x}-2} x+6\right)",1,"Integrate[(300 - 120*x^2 + 12*x^4 + (-75 + 150*x - 45*x^2 - 60*x^3 + 27*x^4 + 6*x^5 - 3*x^6 + (-15*x + 30*x^2 - 18*x^3 + 6*x^4 - 3*x^5)*Log[2])/2^(x/(-5 + x^2)))/(100 - 200*x + 60*x^2 + 80*x^3 - 36*x^4 - 8*x^5 + 4*x^6), x]","F",-1
7187,1,16,19,0.0250305,"\int \frac{e^{-\frac{5 x^2+x^3-\log (5)-x^2 \log (x)}{x^2}} \left(2 x^2-x^3-2 \log (5)\right)}{x^2} \, dx","Integrate[(2*x^2 - x^3 - 2*Log[5])/(E^((5*x^2 + x^3 - Log[5] - x^2*Log[x])/x^2)*x^2),x]","5^{\frac{1}{x^2}} e^{-x-5} x^2","x^2 e^{\frac{\log (5)}{x^2}-x-5}+2",1,"5^x^(-2)*E^(-5 - x)*x^2","A",1
7188,1,17,17,0.0280784,"\int \frac{(1296-432 x+1296 e x) \log ^3(x)+(1296-432 x+1296 e x) \log ^2(x) \log (4-x+3 e x)+(432-144 x+432 e x) \log (x) \log ^2(4-x+3 e x)+(48-16 x+48 e x) \log ^3(4-x+3 e x)}{4 x-x^2+3 e x^2} \, dx","Integrate[((1296 - 432*x + 1296*E*x)*Log[x]^3 + (1296 - 432*x + 1296*E*x)*Log[x]^2*Log[4 - x + 3*E*x] + (432 - 144*x + 432*E*x)*Log[x]*Log[4 - x + 3*E*x]^2 + (48 - 16*x + 48*E*x)*Log[4 - x + 3*E*x]^3)/(4*x - x^2 + 3*E*x^2),x]","(3 \log (x)+\log (3 e x-x+4))^4","(3 \log (x)+\log (3 e x-x+4))^4",1,"(3*Log[x] + Log[4 - x + 3*E*x])^4","A",1
7189,1,38,27,2.7080988,"\int \frac{\exp \left(-x+\frac{21 x-15 x^2+4 x^3+\left(-8 x+4 x^2\right) \log (x)+x \log ^2(x)}{-3+x}\right) \left(-48+76 x-48 x^2+8 x^3+\left(18-22 x+4 x^2\right) \log (x)-3 \log ^2(x)\right)}{9-6 x+x^2} \, dx","Integrate[(E^(-x + (21*x - 15*x^2 + 4*x^3 + (-8*x + 4*x^2)*Log[x] + x*Log[x]^2)/(-3 + x))*(-48 + 76*x - 48*x^2 + 8*x^3 + (18 - 22*x + 4*x^2)*Log[x] - 3*Log[x]^2))/(9 - 6*x + x^2),x]","x^{\frac{4 (x-2) x}{x-3}} e^{\frac{x \left(4 \left(x^2-4 x+6\right)+\log ^2(x)\right)}{x-3}}","\exp \left(\frac{x \left(x+(-2 x-\log (x)+4)^2+5\right)}{x-3}-x\right)",1,"E^((x*(4*(6 - 4*x + x^2) + Log[x]^2))/(-3 + x))*x^((4*(-2 + x)*x)/(-3 + x))","A",1
7190,1,15,15,0.0124052,"\int 2 e^{-10+e^3+e^{20 x}} \left(1+20 e^{20 x} x\right) \, dx","Integrate[2*E^(-10 + E^3 + E^(20*x))*(1 + 20*E^(20*x)*x),x]","2 e^{e^{20 x}-10+e^3} x","2 e^{e^{20 x}-10+e^3} x",1,"2*E^(-10 + E^3 + E^(20*x))*x","A",1
7191,1,19,21,0.0275382,"\int \frac{1+e^{8+x} \left(5-x-x^2\right)}{e^8} \, dx","Integrate[(1 + E^(8 + x)*(5 - x - x^2))/E^8,x]","\frac{x}{e^8}-e^x \left(x^2-x-4\right)","\frac{x+3}{e^8}-e^x \left(x^2-x-4\right)",1,"x/E^8 - E^x*(-4 - x + x^2)","A",1
7192,1,22,15,0.0077959,"\int \frac{e^{6/5} \left(-6+x^3\right)}{3 x-4 x^3+x^4} \, dx","Integrate[(E^(6/5)*(-6 + x^3))/(3*x - 4*x^3 + x^4),x]","e^{6/5} \left(\log \left(x^3-4 x^2+3\right)-2 \log (x)\right)","e^{6/5} \log \left(\frac{3}{x^2}+x-4\right)",1,"E^(6/5)*(-2*Log[x] + Log[3 - 4*x^2 + x^3])","A",1
7193,1,23,20,0.0000758,"\int \left(-240-8 e^{\frac{6}{5+e^3}}+32 x\right) \, dx","Integrate[-240 - 8*E^(6/(5 + E^3)) + 32*x,x]","16 x^2-8 e^{\frac{6}{5+e^3}} x-240 x","\left(4 x-e^{\frac{6}{5+e^3}}-30\right)^2",1,"-240*x - 8*E^(6/(5 + E^3))*x + 16*x^2","A",1
7194,1,48,26,0.104191,"\int \frac{16 x^2+e^x \left(8 x+8 x^2\right)+\left(6 x+e^{2 x} x+2 x^3+e^x \left(3+3 x^2\right)\right) \log \left(3+e^x x+x^2\right)+\left(64 x+e^x (32+32 x)+\left(24+8 e^x x+8 x^2\right) \log \left(3+e^x x+x^2\right)\right) \log \left((-1+\log (9)) \log \left(3+e^x x+x^2\right)\right)}{\left(3+e^x x+x^2\right) \log \left(3+e^x x+x^2\right)} \, dx","Integrate[(16*x^2 + E^x*(8*x + 8*x^2) + (6*x + E^(2*x)*x + 2*x^3 + E^x*(3 + 3*x^2))*Log[3 + E^x*x + x^2] + (64*x + E^x*(32 + 32*x) + (24 + 8*E^x*x + 8*x^2)*Log[3 + E^x*x + x^2])*Log[(-1 + Log[9])*Log[3 + E^x*x + x^2]])/((3 + E^x*x + x^2)*Log[3 + E^x*x + x^2]),x]","x^2+16 \log ^2\left((\log (9)-1) \log \left(x^2+e^x x+3\right)\right)+8 x \log \left((\log (9)-1) \log \left(x^2+e^x x+3\right)\right)+e^x","e^x+\left(x+4 \log \left((\log (9)-1) \log \left(x \left(x+e^x\right)+3\right)\right)\right)^2",1,"E^x + x^2 + 8*x*Log[(-1 + Log[9])*Log[3 + E^x*x + x^2]] + 16*Log[(-1 + Log[9])*Log[3 + E^x*x + x^2]]^2","A",1
7195,1,28,28,0.1778523,"\int \frac{-6 e^5-6 x+\left(-6 x-6 x^2-2 x^6+e^5 \left(-6 x-2 x^5\right)\right) \log \left(\frac{2}{x}\right)+\left(6 e^5 x^4+6 x^5\right) \log \left(\frac{2}{x}\right) \log \left(\frac{5 \log \left(\frac{2}{x}\right)}{e^5+x}\right)+\left(-6 e^5 x^3-6 x^4\right) \log \left(\frac{2}{x}\right) \log ^2\left(\frac{5 \log \left(\frac{2}{x}\right)}{e^5+x}\right)+\left(2 e^5 x^2+2 x^3\right) \log \left(\frac{2}{x}\right) \log ^3\left(\frac{5 \log \left(\frac{2}{x}\right)}{e^5+x}\right)}{\left(-e^5 x^4-x^5\right) \log \left(\frac{2}{x}\right)+\left(3 e^5 x^3+3 x^4\right) \log \left(\frac{2}{x}\right) \log \left(\frac{5 \log \left(\frac{2}{x}\right)}{e^5+x}\right)+\left(-3 e^5 x^2-3 x^3\right) \log \left(\frac{2}{x}\right) \log ^2\left(\frac{5 \log \left(\frac{2}{x}\right)}{e^5+x}\right)+\left(e^5 x+x^2\right) \log \left(\frac{2}{x}\right) \log ^3\left(\frac{5 \log \left(\frac{2}{x}\right)}{e^5+x}\right)} \, dx","Integrate[(-6*E^5 - 6*x + (-6*x - 6*x^2 - 2*x^6 + E^5*(-6*x - 2*x^5))*Log[2/x] + (6*E^5*x^4 + 6*x^5)*Log[2/x]*Log[(5*Log[2/x])/(E^5 + x)] + (-6*E^5*x^3 - 6*x^4)*Log[2/x]*Log[(5*Log[2/x])/(E^5 + x)]^2 + (2*E^5*x^2 + 2*x^3)*Log[2/x]*Log[(5*Log[2/x])/(E^5 + x)]^3)/((-(E^5*x^4) - x^5)*Log[2/x] + (3*E^5*x^3 + 3*x^4)*Log[2/x]*Log[(5*Log[2/x])/(E^5 + x)] + (-3*E^5*x^2 - 3*x^3)*Log[2/x]*Log[(5*Log[2/x])/(E^5 + x)]^2 + (E^5*x + x^2)*Log[2/x]*Log[(5*Log[2/x])/(E^5 + x)]^3),x]","x^2-\frac{3}{\left(\log \left(\frac{5 \log \left(\frac{2}{x}\right)}{x+e^5}\right)-x\right)^2}","x^2-\frac{3}{\left(\log \left(\frac{5 \log \left(\frac{2}{x}\right)}{x+e^5}\right)-x\right)^2}",1,"x^2 - 3/(-x + Log[(5*Log[2/x])/(E^5 + x)])^2","A",1
7196,1,33,26,0.0750065,"\int \frac{e^x \left(3 x-2 x^2-x^3+e^5 \left(x-x^2\right)\right)+e^x \left(-3+e^5 (-1+x)+2 x+x^2\right) \log \left(3+e^5+x\right)+\frac{\left(e^x \left(-x-4 x^2-x^3+e^5 \left(-x-x^2\right)\right)+e^x \left(-3+e^5 (-1+x)+2 x+x^2\right) \log \left(3+e^5+x\right)\right) \left(x^2-2 x \log \left(3+e^5+x\right)+\log ^2\left(3+e^5+x\right)\right)}{e}}{-3 x^3-e^5 x^3-x^4+\left(3 x^2+e^5 x^2+x^3\right) \log \left(3+e^5+x\right)} \, dx","Integrate[(E^x*(3*x - 2*x^2 - x^3 + E^5*(x - x^2)) + E^x*(-3 + E^5*(-1 + x) + 2*x + x^2)*Log[3 + E^5 + x] + ((E^x*(-x - 4*x^2 - x^3 + E^5*(-x - x^2)) + E^x*(-3 + E^5*(-1 + x) + 2*x + x^2)*Log[3 + E^5 + x])*(x^2 - 2*x*Log[3 + E^5 + x] + Log[3 + E^5 + x]^2))/E)/(-3*x^3 - E^5*x^3 - x^4 + (3*x^2 + E^5*x^2 + x^3)*Log[3 + E^5 + x]),x]","\frac{e^{x-1} \left(x^2+\log ^2\left(x+e^5+3\right)-2 x \log \left(x+e^5+3\right)+e\right)}{x}","\frac{e^x \left(\frac{\left(x-\log \left(x+e^5+3\right)\right)^2}{e}+1\right)}{x}",1,"(E^(-1 + x)*(E + x^2 - 2*x*Log[3 + E^5 + x] + Log[3 + E^5 + x]^2))/x","A",1
7197,1,21,20,0.0341765,"\int \left(10 x-3 x^2+e^{2 e^{9 x^2}} \left(2 x+36 e^{9 x^2} x^3\right)\right) \, dx","Integrate[10*x - 3*x^2 + E^(2*E^(9*x^2))*(2*x + 36*E^(9*x^2)*x^3),x]","-x^2 \left(-e^{2 e^{9 x^2}}+x-5\right)","\left(e^{2 e^{9 x^2}}-x+5\right) x^2",1,"-(x^2*(-5 - E^(2*E^(9*x^2)) + x))","A",1
7198,1,32,30,0.0938728,"\int \frac{-64+16 x+8 x^2+e^{2 x^2} \left(2 x^2+4 x^4\right)+\left(32-12 x-8 x^2\right) \log (4)+\left(-4+2 x+2 x^2\right) \log ^2(4)+e^{x^2} \left(-8 x-8 x^2-32 x^3-8 x^4+\left(2 x+4 x^2+8 x^3+4 x^4\right) \log (4)\right)+\left(32-16 x+(-16+12 x) \log (4)+(2-2 x) \log ^2(4)+e^{x^2} \left(8 x+16 x^3+\left(-2 x-4 x^3\right) \log (4)\right)\right) \log (x)}{16 x-8 x \log (4)+x \log ^2(4)} \, dx","Integrate[(-64 + 16*x + 8*x^2 + E^(2*x^2)*(2*x^2 + 4*x^4) + (32 - 12*x - 8*x^2)*Log[4] + (-4 + 2*x + 2*x^2)*Log[4]^2 + E^x^2*(-8*x - 8*x^2 - 32*x^3 - 8*x^4 + (2*x + 4*x^2 + 8*x^3 + 4*x^4)*Log[4]) + (32 - 16*x + (-16 + 12*x)*Log[4] + (2 - 2*x)*Log[4]^2 + E^x^2*(8*x + 16*x^3 + (-2*x - 4*x^3)*Log[4]))*Log[x])/(16*x - 8*x*Log[4] + x*Log[4]^2),x]","\frac{\left(x \left(e^{x^2}-2+\log (4)\right)-(\log (4)-4) \log (x)-8+\log (16)\right)^2}{(\log (4)-4)^2}","\left(-\frac{e^{x^2} x+2 x}{4-\log (4)}+x-\log (x)+2\right)^2",1,"(-8 + x*(-2 + E^x^2 + Log[4]) + Log[16] - (-4 + Log[4])*Log[x])^2/(-4 + Log[4])^2","A",1
7199,1,27,23,0.0096927,"\int \frac{24 x^2+16 x^3+8 x^4+2 x^5}{4+4 x+x^2} \, dx","Integrate[(24*x^2 + 16*x^3 + 8*x^4 + 2*x^5)/(4 + 4*x + x^2),x]","\frac{x^5+2 x^4+8 x^3-112 x-224}{2 (x+2)}","\left(\frac{x}{2}-\frac{4}{-x-2}\right) x^3-1+\log (4)",1,"(-224 - 112*x + 8*x^3 + 2*x^4 + x^5)/(2*(2 + x))","A",1
7200,1,13,27,0.0043462,"\int \frac{2 e^5+x}{e^5 x+x^2} \, dx","Integrate[(2*E^5 + x)/(E^5*x + x^2),x]","2 \log (x)-\log \left(x+e^5\right)","\log \left(\frac{x^2 e^{\frac{2}{e \left(4+\log ^2(5)\right)}}}{x+e^5}\right)",1,"2*Log[x] - Log[E^5 + x]","A",1
7201,1,21,22,0.0208599,"\int \frac{\frac{5 x \left(-4+5 x^2\right)}{e^4 \left(16+20 x^2\right)}+e^x \left(4 x+5 x^3\right)}{4 x+5 x^3} \, dx","Integrate[((5*x*(-4 + 5*x^2))/(E^4*(16 + 20*x^2)) + E^x*(4*x + 5*x^3))/(4*x + 5*x^3),x]","e^x-\frac{5 x}{4 e^4 \left(5 x^2+4\right)}","e^x-\frac{1}{4 e^4 \left(x+\frac{4}{5 x}\right)}",1,"E^x - (5*x)/(4*E^4*(4 + 5*x^2))","A",1
7202,1,44,29,0.3283444,"\int \frac{3125-9395 x+1867 x^2+8632 x^3-6351 x^4+566 x^5+832 x^6-304 x^7+32 x^8+\left(6250-3125 x-5625 x^2+4750 x^3-200 x^4-864 x^5+304 x^6-32 x^7\right) \log (2+x)+\left(6250 x-9385 x^2+3749 x^3+1002 x^4-1200 x^5+336 x^6-32 x^7+\left(-6250+9375 x-3750 x^2-1000 x^3+1200 x^4-336 x^5+32 x^6\right) \log (2+x)\right) \log \left(\frac{625 x-1001 x^2+600 x^3-160 x^4+16 x^5+\left(-625+1000 x-600 x^2+160 x^3-16 x^4\right) \log (2+x)}{625-1000 x+600 x^2-160 x^3+16 x^4}\right)}{-6250 x^2+9385 x^3-3749 x^4-1002 x^5+1200 x^6-336 x^7+32 x^8+\left(6250 x-9375 x^2+3750 x^3+1000 x^4-1200 x^5+336 x^6-32 x^7\right) \log (2+x)+\left(6250 x-9385 x^2+3749 x^3+1002 x^4-1200 x^5+336 x^6-32 x^7+\left(-6250+9375 x-3750 x^2-1000 x^3+1200 x^4-336 x^5+32 x^6\right) \log (2+x)\right) \log \left(\frac{625 x-1001 x^2+600 x^3-160 x^4+16 x^5+\left(-625+1000 x-600 x^2+160 x^3-16 x^4\right) \log (2+x)}{625-1000 x+600 x^2-160 x^3+16 x^4}\right)} \, dx","Integrate[(3125 - 9395*x + 1867*x^2 + 8632*x^3 - 6351*x^4 + 566*x^5 + 832*x^6 - 304*x^7 + 32*x^8 + (6250 - 3125*x - 5625*x^2 + 4750*x^3 - 200*x^4 - 864*x^5 + 304*x^6 - 32*x^7)*Log[2 + x] + (6250*x - 9385*x^2 + 3749*x^3 + 1002*x^4 - 1200*x^5 + 336*x^6 - 32*x^7 + (-6250 + 9375*x - 3750*x^2 - 1000*x^3 + 1200*x^4 - 336*x^5 + 32*x^6)*Log[2 + x])*Log[(625*x - 1001*x^2 + 600*x^3 - 160*x^4 + 16*x^5 + (-625 + 1000*x - 600*x^2 + 160*x^3 - 16*x^4)*Log[2 + x])/(625 - 1000*x + 600*x^2 - 160*x^3 + 16*x^4)])/(-6250*x^2 + 9385*x^3 - 3749*x^4 - 1002*x^5 + 1200*x^6 - 336*x^7 + 32*x^8 + (6250*x - 9375*x^2 + 3750*x^3 + 1000*x^4 - 1200*x^5 + 336*x^6 - 32*x^7)*Log[2 + x] + (6250*x - 9385*x^2 + 3749*x^3 + 1002*x^4 - 1200*x^5 + 336*x^6 - 32*x^7 + (-6250 + 9375*x - 3750*x^2 - 1000*x^3 + 1200*x^4 - 336*x^5 + 32*x^6)*Log[2 + x])*Log[(625*x - 1001*x^2 + 600*x^3 - 160*x^4 + 16*x^5 + (-625 + 1000*x - 600*x^2 + 160*x^3 - 16*x^4)*Log[2 + x])/(625 - 1000*x + 600*x^2 - 160*x^3 + 16*x^4)]),x]","\log \left(x-\log \left(\frac{x \left(16 x^4-160 x^3+600 x^2-1001 x+625\right)}{(5-2 x)^4}-\log (x+2)\right)\right)+x","\log \left(\log \left(-\frac{x^2}{(5-2 x)^4}+x-\log (x+2)\right)-x\right)+x+1",1,"x + Log[x - Log[(x*(625 - 1001*x + 600*x^2 - 160*x^3 + 16*x^4))/(5 - 2*x)^4 - Log[2 + x]]]","A",1
7203,1,23,30,1.0179931,"\int \frac{-576 x+(-576-576 x) \log (1+x)+\left(180 x^2+180 x^3\right) \log ^2(1+x)}{2304+2304 x+\left(-1056 x+384 x^2+1440 x^3\right) \log (1+x)+\left(121 x^2-209 x^3-105 x^4+225 x^5\right) \log ^2(1+x)} \, dx","Integrate[(-576*x + (-576 - 576*x)*Log[1 + x] + (180*x^2 + 180*x^3)*Log[1 + x]^2)/(2304 + 2304*x + (-1056*x + 384*x^2 + 1440*x^3)*Log[1 + x] + (121*x^2 - 209*x^3 - 105*x^4 + 225*x^5)*Log[1 + x]^2),x]","-\frac{36 x \log (x+1)}{3 x (15 x-11) \log (x+1)+144}","\frac{x}{-\left(\left(\frac{x-1}{4}+x\right) x\right)+\frac{2 x}{3}-\frac{4}{\log (x+1)}}",1,"(-36*x*Log[1 + x])/(144 + 3*x*(-11 + 15*x)*Log[1 + x])","A",1
7204,1,28,24,0.113371,"\int \frac{e^{-\frac{25 x^4}{4}} \left(e^{6+\frac{25 x^4}{4}}-25 x^5+e^6 \left(1-25 x^4\right)\right)}{2 e^{12}+4 e^6 x+2 x^2} \, dx","Integrate[(E^(6 + (25*x^4)/4) - 25*x^5 + E^6*(1 - 25*x^4))/(E^((25*x^4)/4)*(2*E^12 + 4*E^6*x + 2*x^2)),x]","\frac{e^{-\frac{25 x^4}{4}} x-e^6}{2 \left(x+e^6\right)}","\frac{e^{-\frac{25 x^4}{4}} x+x}{2 \left(x+e^6\right)}",1,"(-E^6 + x/E^((25*x^4)/4))/(2*(E^6 + x))","A",1
7205,1,41,20,0.0265795,"\int \frac{-4+e^{e^8} \left(4-4 x^2\right)+e^{2 e^8} \left(-1+6 x^2-8 x^3+3 x^4\right)}{x^2} \, dx","Integrate[(-4 + E^E^8*(4 - 4*x^2) + E^(2*E^8)*(-1 + 6*x^2 - 8*x^3 + 3*x^4))/x^2,x]","\frac{-4 e^{e^8} \left(x^2+1\right)+e^{2 e^8} \left(x^4-4 x^3+6 x^2+1\right)+4}{x}","\frac{\left(2-e^{e^8} (x-1)^2\right)^2}{x}",1,"(4 - 4*E^E^8*(1 + x^2) + E^(2*E^8)*(1 + 6*x^2 - 4*x^3 + x^4))/x","B",1
7206,1,49,25,0.0132007,"\int \frac{1}{3} \left(-6-640 x-336 x^2+16 x^3+15 x^4+e^8 \left(96 x+72 x^2+12 x^3\right)\right) \, dx","Integrate[(-6 - 640*x - 336*x^2 + 16*x^3 + 15*x^4 + E^8*(96*x + 72*x^2 + 12*x^3))/3,x]","x^5+\frac{1}{3} \left(4+3 e^8\right) x^4+\frac{8}{3} \left(3 e^8-14\right) x^3+\frac{16}{3} \left(3 e^8-20\right) x^2-2 x","16 \left(x+e^8-\frac{20}{3}\right) \left(\frac{x^2}{4}+x\right)^2-2 x",1,"-2*x + (16*(-20 + 3*E^8)*x^2)/3 + (8*(-14 + 3*E^8)*x^3)/3 + ((4 + 3*E^8)*x^4)/3 + x^5","A",1
7207,1,36,24,1.3454815,"\int \frac{25 x^3+e^{\frac{2-50 x^2-25 x^3}{25 x^2}} \left(-4-25 x^3\right)}{25 e^{\frac{2-50 x^2-25 x^3}{25 x^2}} x^3+25 x^4+225 x^3 \log (2)} \, dx","Integrate[(25*x^3 + E^((2 - 50*x^2 - 25*x^3)/(25*x^2))*(-4 - 25*x^3))/(25*E^((2 - 50*x^2 - 25*x^3)/(25*x^2))*x^3 + 25*x^4 + 225*x^3*Log[2]),x]","\frac{1}{25} \left(25 \log \left(e^{\frac{2}{25 x^2}}+e^{x+2} x+e^{x+2} \log (512)\right)-25 x\right)","\log \left(\frac{e^{\frac{2}{25 x^2}-x-2}+x}{\log (2)}+9\right)",1,"(-25*x + 25*Log[E^(2/(25*x^2)) + E^(2 + x)*x + E^(2 + x)*Log[512]])/25","A",1
7208,1,18,18,0.0214957,"\int \frac{e^{x+\frac{x^2}{128}} \left(-1024 x-16 x^2\right)+128 e^{x+\frac{x^2}{128}} \log (x)+e^{x+\frac{x^2}{128}} \left(64 x+x^2\right) \log ^2(x)}{64 x} \, dx","Integrate[(E^(x + x^2/128)*(-1024*x - 16*x^2) + 128*E^(x + x^2/128)*Log[x] + E^(x + x^2/128)*(64*x + x^2)*Log[x]^2)/(64*x),x]","e^{\frac{x^2}{128}+x} \left(\log ^2(x)-16\right)","e^{\frac{x^2}{128}+x} \left(\log ^2(x)-16\right)",1,"E^(x + x^2/128)*(-16 + Log[x]^2)","A",1
7209,1,11,11,0.0025915,"\int \frac{8}{15} e^{4 x/3} \, dx","Integrate[(8*E^((4*x)/3))/15,x]","\frac{2}{5} e^{4 x/3}","\frac{2}{5} e^{4 x/3}",1,"(2*E^((4*x)/3))/5","A",1
7210,1,21,24,1.3353716,"\int \frac{5^{\frac{9}{20 x^2-2 x^3+(-40+4 x) \log (5)}} \left(\left(-180 x+27 x^2\right) \log (5)-18 \log ^2(5)\right)}{200 x^4-40 x^5+2 x^6+\left(-800 x^2+160 x^3-8 x^4\right) \log (5)+\left(800-160 x+8 x^2\right) \log ^2(5)} \, dx","Integrate[(5^(9/(20*x^2 - 2*x^3 + (-40 + 4*x)*Log[5]))*((-180*x + 27*x^2)*Log[5] - 18*Log[5]^2))/(200*x^4 - 40*x^5 + 2*x^6 + (-800*x^2 + 160*x^3 - 8*x^4)*Log[5] + (800 - 160*x + 8*x^2)*Log[5]^2),x]","5^{-\frac{9}{2 (x-10) \left(x^2-2 \log (5)\right)}}","e^{\frac{9}{2 (x-10) \left(2-\frac{x^2}{\log (5)}\right)}}",1,"5^(-9/(2*(-10 + x)*(x^2 - 2*Log[5])))","A",1
7211,1,23,25,0.4978714,"\int \frac{e^{-2 e^{3-x^2}} \left(-54 x-104 e^{3-x^2} x^3+\left(2 x+4 e^{3-x^2} x^3\right) \log (x)\right)}{-17576+2028 \log (x)-78 \log ^2(x)+\log ^3(x)} \, dx","Integrate[(-54*x - 104*E^(3 - x^2)*x^3 + (2*x + 4*E^(3 - x^2)*x^3)*Log[x])/(E^(2*E^(3 - x^2))*(-17576 + 2028*Log[x] - 78*Log[x]^2 + Log[x]^3)),x]","\frac{e^{-2 e^{3-x^2}} x^2}{(\log (x)-26)^2}","\frac{e^{-2 e^{3-x^2}} x^2}{(26-\log (x))^2}",1,"x^2/(E^(2*E^(3 - x^2))*(-26 + Log[x])^2)","A",1
7212,1,25,23,0.04934,"\int \frac{-2592-2587 x+1306 x^2+5 x^3+(1296+2592 x) \log \left(x^2\right)}{5 x^2+10 x^3+5 x^4} \, dx","Integrate[(-2592 - 2587*x + 1306*x^2 + 5*x^3 + (1296 + 2592*x)*Log[x^2])/(5*x^2 + 10*x^3 + 5*x^4),x]","\frac{1}{5} \left(5 \log (x)-\frac{1296 \left(\log \left(x^2\right)+x\right)}{x (x+1)}\right)","\log (2 x)-\frac{1296 \left(\log \left(x^2\right)+x\right)}{5 x (x+1)}",1,"(5*Log[x] - (1296*(x + Log[x^2]))/(x*(1 + x)))/5","A",1
7213,1,25,21,0.1632495,"\int \frac{-8+2 x^4-4 x^4 \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)+5 x \log \left(x^2\right) \log ^2\left(\log \left(x^2\right)\right)}{\left(4 x-x^5\right) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)+5 x^2 \log \left(x^2\right) \log ^2\left(\log \left(x^2\right)\right)} \, dx","Integrate[(-8 + 2*x^4 - 4*x^4*Log[x^2]*Log[Log[x^2]] + 5*x*Log[x^2]*Log[Log[x^2]]^2)/((4*x - x^5)*Log[x^2]*Log[Log[x^2]] + 5*x^2*Log[x^2]*Log[Log[x^2]]^2),x]","\log \left(-x^4+5 x \log \left(\log \left(x^2\right)\right)+4\right)-\log \left(\log \left(\log \left(x^2\right)\right)\right)","\log \left(\frac{x^4-4}{5 \log \left(\log \left(x^2\right)\right)}-x\right)",1,"-Log[Log[Log[x^2]]] + Log[4 - x^4 + 5*x*Log[Log[x^2]]]","A",1
7214,1,28,28,0.2297437,"\int \frac{e^{\frac{x^2+3 x \log (5)+3 \log (5) \log (x)}{x \log (5)}} \left(-72 x^2-216 \log (5)+216 \log (5) \log (x)\right)}{\left(4 x^2 \log (5)+4 e^{\frac{x^2+3 x \log (5)+3 \log (5) \log (x)}{x \log (5)}} x^2 \log (5)+\left(x^2 \log (5)+e^{\frac{x^2+3 x \log (5)+3 \log (5) \log (x)}{x \log (5)}} x^2 \log (5)\right) \log \left(1+e^{\frac{x^2+3 x \log (5)+3 \log (5) \log (x)}{x \log (5)}}\right)\right) \log ^3\left(4+\log \left(1+e^{\frac{x^2+3 x \log (5)+3 \log (5) \log (x)}{x \log (5)}}\right)\right)} \, dx","Integrate[(E^((x^2 + 3*x*Log[5] + 3*Log[5]*Log[x])/(x*Log[5]))*(-72*x^2 - 216*Log[5] + 216*Log[5]*Log[x]))/((4*x^2*Log[5] + 4*E^((x^2 + 3*x*Log[5] + 3*Log[5]*Log[x])/(x*Log[5]))*x^2*Log[5] + (x^2*Log[5] + E^((x^2 + 3*x*Log[5] + 3*Log[5]*Log[x])/(x*Log[5]))*x^2*Log[5])*Log[1 + E^((x^2 + 3*x*Log[5] + 3*Log[5]*Log[x])/(x*Log[5]))])*Log[4 + Log[1 + E^((x^2 + 3*x*Log[5] + 3*Log[5]*Log[x])/(x*Log[5]))]]^3),x]","\frac{36}{\log ^2\left(\log \left(x^{3/x} e^{\frac{x}{\log (5)}+3}+1\right)+4\right)}","\frac{36}{\log ^2\left(\log \left(e^{\frac{x}{\log (5)}+\frac{3 (x+\log (x))}{x}}+1\right)+4\right)}",1,"36/Log[4 + Log[1 + E^(3 + x/Log[5])*x^(3/x)]]^2","A",1
7215,1,38,28,0.0677413,"\int \frac{10+13 x+7 x^2+e \left(-10-8 x+2 x^2-2 x^3\right)+\left(-2-3 x-2 x^2+e (2+2 x)\right) \log (4)+\left(7 x+4 x^2+x^3+e \left(-2 x-4 x^2\right)-x \log (4)\right) \log (2 x)}{200 x-80 x^2-72 x^3+16 x^4+8 x^5+\left(-80 x+16 x^2+16 x^3\right) \log (4)+8 x \log ^2(4)} \, dx","Integrate[(10 + 13*x + 7*x^2 + E*(-10 - 8*x + 2*x^2 - 2*x^3) + (-2 - 3*x - 2*x^2 + E*(2 + 2*x))*Log[4] + (7*x + 4*x^2 + x^3 + E*(-2*x - 4*x^2) - x*Log[4])*Log[2*x])/(200*x - 80*x^2 - 72*x^3 + 16*x^4 + 8*x^5 + (-80*x + 16*x^2 + 16*x^3)*Log[4] + 8*x*Log[4]^2),x]","\frac{(2 e-1) x+(-x+2 e-2) \log (2 x)-5+\log (4)}{8 \left(x^2+x-5+\log (4)\right)}","\frac{\left(-\frac{x}{2}+e-1\right) (x+\log (2 x))}{4 \left(x^2+x-5+\log (4)\right)}",1,"(-5 + (-1 + 2*E)*x + Log[4] + (-2 + 2*E - x)*Log[2*x])/(8*(-5 + x + x^2 + Log[4]))","A",1
7216,1,154,28,14.8135218,"\int \frac{x^7 \log ^9(x)+e^{\frac{1048576+\left(6291456 x-2097152 x^2\right) \log (x)+\left(16515072 x^2-11010048 x^3+1835008 x^4\right) \log ^2(x)+\left(24772608 x^3-24772608 x^4+8257536 x^5-917504 x^6\right) \log ^3(x)+\left(23224320 x^4-30965760 x^5+15482880 x^6-3440640 x^7+286720 x^8\right) \log ^4(x)+\left(13934592 x^5-23224320 x^6+15482880 x^7-5160960 x^8+860160 x^9-57344 x^{10}\right) \log ^5(x)+\left(5225472 x^6-10450944 x^7+8709120 x^8-3870720 x^9+967680 x^{10}-129024 x^{11}+7168 x^{12}\right) \log ^6(x)+\left(1119744 x^7-2612736 x^8+2612736 x^9-1451520 x^{10}+483840 x^{11}-96768 x^{12}+10752 x^{13}-512 x^{14}\right) \log ^7(x)+\left(104977 x^8-279936 x^9+326592 x^{10}-217728 x^{11}+90720 x^{12}-24192 x^{13}+4032 x^{14}-384 x^{15}+16 x^{16}\right) \log ^8(x)}{x^7 \log ^8(x)}} \left(-8388608+\left(-7340032-44040192 x+14680064 x^2\right) \log (x)+\left(-37748736 x-88604672 x^2+66060288 x^3-11010048 x^4\right) \log ^2(x)+\left(-82575360 x^2-79822848 x^3+118358016 x^4-41287680 x^5+4587520 x^6\right) \log ^3(x)+\left(-99090432 x^3-18579456 x^4+107347968 x^5-61014016 x^6+13762560 x^7-1146880 x^8\right) \log ^4(x)+\left(-69672960 x^4+20127744 x^5+54190080 x^6-46448640 x^7+15769600 x^8-2580480 x^9+172032 x^{10}\right) \log ^5(x)+\left(-27869184 x^5+12773376 x^6+20901888 x^7-22579200 x^8+9461760 x^9-2107392 x^{10}+258048 x^{11}-14336 x^{12}\right) \log ^6(x)+\left(-5225472 x^6-1119744 x^7+11321856 x^8-10354176 x^9+4354560 x^{10}-999936 x^{11}+132608 x^{12}-10752 x^{13}+512 x^{14}\right) \log ^7(x)+\left(-2612736 x^8+5225472 x^9-4354560 x^{10}+1935360 x^{11}-483840 x^{12}+64512 x^{13}-3584 x^{14}\right) \log ^8(x)+\left(x^7+104977 x^8-559872 x^9+979776 x^{10}-870912 x^{11}+453600 x^{12}-145152 x^{13}+28224 x^{14}-3072 x^{15}+144 x^{16}\right) \log ^9(x)\right)}{x^8 \log ^9(x)+e^{\frac{1048576+\left(6291456 x-2097152 x^2\right) \log (x)+\left(16515072 x^2-11010048 x^3+1835008 x^4\right) \log ^2(x)+\left(24772608 x^3-24772608 x^4+8257536 x^5-917504 x^6\right) \log ^3(x)+\left(23224320 x^4-30965760 x^5+15482880 x^6-3440640 x^7+286720 x^8\right) \log ^4(x)+\left(13934592 x^5-23224320 x^6+15482880 x^7-5160960 x^8+860160 x^9-57344 x^{10}\right) \log ^5(x)+\left(5225472 x^6-10450944 x^7+8709120 x^8-3870720 x^9+967680 x^{10}-129024 x^{11}+7168 x^{12}\right) \log ^6(x)+\left(1119744 x^7-2612736 x^8+2612736 x^9-1451520 x^{10}+483840 x^{11}-96768 x^{12}+10752 x^{13}-512 x^{14}\right) \log ^7(x)+\left(104977 x^8-279936 x^9+326592 x^{10}-217728 x^{11}+90720 x^{12}-24192 x^{13}+4032 x^{14}-384 x^{15}+16 x^{16}\right) \log ^8(x)}{x^7 \log ^8(x)}} x^8 \log ^9(x)} \, dx","Integrate[(x^7*Log[x]^9 + E^((1048576 + (6291456*x - 2097152*x^2)*Log[x] + (16515072*x^2 - 11010048*x^3 + 1835008*x^4)*Log[x]^2 + (24772608*x^3 - 24772608*x^4 + 8257536*x^5 - 917504*x^6)*Log[x]^3 + (23224320*x^4 - 30965760*x^5 + 15482880*x^6 - 3440640*x^7 + 286720*x^8)*Log[x]^4 + (13934592*x^5 - 23224320*x^6 + 15482880*x^7 - 5160960*x^8 + 860160*x^9 - 57344*x^10)*Log[x]^5 + (5225472*x^6 - 10450944*x^7 + 8709120*x^8 - 3870720*x^9 + 967680*x^10 - 129024*x^11 + 7168*x^12)*Log[x]^6 + (1119744*x^7 - 2612736*x^8 + 2612736*x^9 - 1451520*x^10 + 483840*x^11 - 96768*x^12 + 10752*x^13 - 512*x^14)*Log[x]^7 + (104977*x^8 - 279936*x^9 + 326592*x^10 - 217728*x^11 + 90720*x^12 - 24192*x^13 + 4032*x^14 - 384*x^15 + 16*x^16)*Log[x]^8)/(x^7*Log[x]^8))*(-8388608 + (-7340032 - 44040192*x + 14680064*x^2)*Log[x] + (-37748736*x - 88604672*x^2 + 66060288*x^3 - 11010048*x^4)*Log[x]^2 + (-82575360*x^2 - 79822848*x^3 + 118358016*x^4 - 41287680*x^5 + 4587520*x^6)*Log[x]^3 + (-99090432*x^3 - 18579456*x^4 + 107347968*x^5 - 61014016*x^6 + 13762560*x^7 - 1146880*x^8)*Log[x]^4 + (-69672960*x^4 + 20127744*x^5 + 54190080*x^6 - 46448640*x^7 + 15769600*x^8 - 2580480*x^9 + 172032*x^10)*Log[x]^5 + (-27869184*x^5 + 12773376*x^6 + 20901888*x^7 - 22579200*x^8 + 9461760*x^9 - 2107392*x^10 + 258048*x^11 - 14336*x^12)*Log[x]^6 + (-5225472*x^6 - 1119744*x^7 + 11321856*x^8 - 10354176*x^9 + 4354560*x^10 - 999936*x^11 + 132608*x^12 - 10752*x^13 + 512*x^14)*Log[x]^7 + (-2612736*x^8 + 5225472*x^9 - 4354560*x^10 + 1935360*x^11 - 483840*x^12 + 64512*x^13 - 3584*x^14)*Log[x]^8 + (x^7 + 104977*x^8 - 559872*x^9 + 979776*x^10 - 870912*x^11 + 453600*x^12 - 145152*x^13 + 28224*x^14 - 3072*x^15 + 144*x^16)*Log[x]^9))/(x^8*Log[x]^9 + E^((1048576 + (6291456*x - 2097152*x^2)*Log[x] + (16515072*x^2 - 11010048*x^3 + 1835008*x^4)*Log[x]^2 + (24772608*x^3 - 24772608*x^4 + 8257536*x^5 - 917504*x^6)*Log[x]^3 + (23224320*x^4 - 30965760*x^5 + 15482880*x^6 - 3440640*x^7 + 286720*x^8)*Log[x]^4 + (13934592*x^5 - 23224320*x^6 + 15482880*x^7 - 5160960*x^8 + 860160*x^9 - 57344*x^10)*Log[x]^5 + (5225472*x^6 - 10450944*x^7 + 8709120*x^8 - 3870720*x^9 + 967680*x^10 - 129024*x^11 + 7168*x^12)*Log[x]^6 + (1119744*x^7 - 2612736*x^8 + 2612736*x^9 - 1451520*x^10 + 483840*x^11 - 96768*x^12 + 10752*x^13 - 512*x^14)*Log[x]^7 + (104977*x^8 - 279936*x^9 + 326592*x^10 - 217728*x^11 + 90720*x^12 - 24192*x^13 + 4032*x^14 - 384*x^15 + 16*x^16)*Log[x]^8)/(x^7*Log[x]^8))*x^8*Log[x]^9),x]","\log \left(\exp \left(16 x^9-384 x^8+4032 x^7+\frac{1048576}{x^7 \log ^8(x)}-24192 x^6-\frac{2097152 (x-3)}{x^6 \log ^7(x)}+90720 x^5+\frac{1835008 (x-3)^2}{x^5 \log ^6(x)}-217728 x^4-\frac{917504 (x-3)^3}{x^4 \log ^5(x)}+326592 x^3+\frac{286720 (x-3)^4}{x^3 \log ^4(x)}-279936 x^2-\frac{57344 (x-3)^5}{x^2 \log ^3(x)}+104977 x+\frac{7168 (x-3)^6}{x \log ^2(x)}-\frac{512 (x-3)^7}{\log (x)}\right)+1\right)+\log (x)","\log \left(x+x e^{x+16 x \left(-x+\frac{4}{x \log (x)}+3\right)^8}\right)",1,"Log[1 + E^(104977*x - 279936*x^2 + 326592*x^3 - 217728*x^4 + 90720*x^5 - 24192*x^6 + 4032*x^7 - 384*x^8 + 16*x^9 + 1048576/(x^7*Log[x]^8) - (2097152*(-3 + x))/(x^6*Log[x]^7) + (1835008*(-3 + x)^2)/(x^5*Log[x]^6) - (917504*(-3 + x)^3)/(x^4*Log[x]^5) + (286720*(-3 + x)^4)/(x^3*Log[x]^4) - (57344*(-3 + x)^5)/(x^2*Log[x]^3) + (7168*(-3 + x)^6)/(x*Log[x]^2) - (512*(-3 + x)^7)/Log[x])] + Log[x]","B",1
7217,1,27,25,0.0710828,"\int \left(1-2 x+e^{4+e^2+e^x+2 x-x^2} \left(-1-2 x-e^x x+2 x^2\right)\right) \, dx","Integrate[1 - 2*x + E^(4 + E^2 + E^x + 2*x - x^2)*(-1 - 2*x - E^x*x + 2*x^2),x]","\left(-e^{-x^2+2 x+e^x+e^2+4}-x+1\right) x","x-x \left(e^{-x^2+2 x+e^x+e^2+4}+x\right)",1,"(1 - E^(4 + E^2 + E^x + 2*x - x^2) - x)*x","A",1
7218,1,15,12,0.0000711,"\int \left(-6-6 e^4+18 x\right) \, dx","Integrate[-6 - 6*E^4 + 18*x,x]","9 x^2-6 e^4 x-6 x","\left(3 x-e^4-1\right)^2",1,"-6*x - 6*E^4*x + 9*x^2","A",1
7219,1,21,17,0.0388736,"\int \frac{5+x+x^2 \log \left(-\frac{3 x}{4}\right)-5 \log \left(-\frac{3 x}{4}\right) \log \left(\log \left(-\frac{3 x}{4}\right)\right)}{x^2 \log \left(-\frac{3 x}{4}\right)} \, dx","Integrate[(5 + x + x^2*Log[(-3*x)/4] - 5*Log[(-3*x)/4]*Log[Log[(-3*x)/4]])/(x^2*Log[(-3*x)/4]),x]","x+\log \left(\log \left(-\frac{3 x}{4}\right)\right)+\frac{5 \log \left(\log \left(-\frac{3 x}{4}\right)\right)}{x}","(x+5) \left(\frac{\log \left(\log \left(-\frac{3 x}{4}\right)\right)}{x}+1\right)",1,"x + Log[Log[(-3*x)/4]] + (5*Log[Log[(-3*x)/4]])/x","A",1
7220,1,53,33,0.3452538,"\int \frac{-14+4 e^3+4 e^4+e^x \left(-20+8 e^3+8 e^4-8 x\right)+e^{2 x} \left(-6+4 e^3+4 e^4-4 x\right)-4 x+\left(2 x+2 e^{2 x} x\right) \log (x)}{\left(x+2 e^x x+e^{2 x} x\right) \log ^3(x)} \, dx","Integrate[(-14 + 4*E^3 + 4*E^4 + E^x*(-20 + 8*E^3 + 8*E^4 - 8*x) + E^(2*x)*(-6 + 4*E^3 + 4*E^4 - 4*x) - 4*x + (2*x + 2*E^(2*x)*x)*Log[x])/((x + 2*E^x*x + E^(2*x)*x)*Log[x]^3),x]","-\frac{-2 e^x x-2 x-3 e^x+2 e^{x+3}+2 e^{x+4}+2 e^4+2 e^3-7}{\left(e^x+1\right) \log ^2(x)}","\frac{2 \left(\frac{1}{2} \left(\frac{4}{e^x+1}+3\right)+x-e^4-e^3\right)}{\log ^2(x)}",1,"-((-7 + 2*E^3 + 2*E^4 - 3*E^x + 2*E^(3 + x) + 2*E^(4 + x) - 2*x - 2*E^x*x)/((1 + E^x)*Log[x]^2))","A",1
7221,1,29,26,0.0127057,"\int \frac{1}{2} e^{-e^4} \left(2 x+e^{e^4} \left(3+11 e^{\frac{11 x^3}{6}} x^2\right)\right) \, dx","Integrate[(2*x + E^E^4*(3 + 11*E^((11*x^3)/6)*x^2))/(2*E^E^4),x]","e^{\frac{11 x^3}{6}}+\frac{1}{2} e^{-e^4} x^2+\frac{3 x}{2}","e^{\frac{11 x^3}{6}}+\frac{1}{2} x \left(e^{-e^4} x+3\right)",1,"E^((11*x^3)/6) + (3*x)/2 + x^2/(2*E^E^4)","A",1
7222,1,16,16,0.1192731,"\int \frac{e^{-1-\frac{28-2 x+6 x^2-x^3}{2+x^2}} \left(20+160 x+20 x^2+5 x^4\right)}{4+4 x^2+x^4} \, dx","Integrate[(E^(-1 - (28 - 2*x + 6*x^2 - x^3)/(2 + x^2))*(20 + 160*x + 20*x^2 + 5*x^4))/(4 + 4*x^2 + x^4),x]","5 e^{-\frac{16}{x^2+2}+x-7}","5 e^{-\frac{16}{x^2+2}+x-7}",1,"5*E^(-7 + x - 16/(2 + x^2))","A",1
7223,1,19,19,0.1537108,"\int \exp \left(e^{\frac{1}{2} \left(e^{e^4 x}+2 x\right)}+\frac{1}{2} \left(e^{e^4 x}+2 x\right)\right) \left(26+13 e^{4+e^4 x}\right) \, dx","Integrate[E^(E^((E^(E^4*x) + 2*x)/2) + (E^(E^4*x) + 2*x)/2)*(26 + 13*E^(4 + E^4*x)),x]","26 e^{e^{x+\frac{e^{e^4 x}}{2}}}","26 e^{e^{x+\frac{e^{e^4 x}}{2}}}",1,"26*E^E^(E^(E^4*x)/2 + x)","A",1
7224,1,11,16,0.0017911,"\int (2+4 x+2 \log (x)) \, dx","Integrate[2 + 4*x + 2*Log[x],x]","2 x^2+2 x \log (x)","2 x \left(x-\frac{5}{7 x}+\log (x)\right)+3",1,"2*x^2 + 2*x*Log[x]","A",1
7225,1,12,13,0.0021383,"\int \frac{128 x^8+\log (24)}{x \log (24)} \, dx","Integrate[(128*x^8 + Log[24])/(x*Log[24]),x]","\frac{16 x^8}{\log (24)}+\log (x)","\frac{16 x^8}{\log (24)}+\log (x)+1",1,"(16*x^8)/Log[24] + Log[x]","A",1
7226,1,37,27,0.2865026,"\int \frac{-4 e^{2+\frac{4 \left(81 e^{25}-162 x\right)}{e^2 x}} x+\left(-324 e^{25+\frac{4 \left(81 e^{25}-162 x\right)}{e^2 x}}+12 e^{2+\frac{3 \left(81 e^{25}-162 x\right)}{e^2 x}} x^2\right) \log (x)+\left(-12 e^{2+\frac{2 \left(81 e^{25}-162 x\right)}{e^2 x}} x^3+e^{\frac{3 \left(81 e^{25}-162 x\right)}{e^2 x}} \left(972 e^{25} x-4 e^2 x^2\right)\right) \log ^2(x)+\left(4 e^{2+\frac{81 e^{25}-162 x}{e^2 x}} x^4+e^{\frac{2 \left(81 e^{25}-162 x\right)}{e^2 x}} \left(-972 e^{25} x^2+12 e^2 x^3\right)\right) \log ^3(x)+e^{\frac{81 e^{25}-162 x}{e^2 x}} \left(324 e^{25} x^3-12 e^2 x^4\right) \log ^4(x)+4 e^2 x^5 \log ^5(x)}{e^2 x^2 \log ^5(x)} \, dx","Integrate[(-4*E^(2 + (4*(81*E^25 - 162*x))/(E^2*x))*x + (-324*E^(25 + (4*(81*E^25 - 162*x))/(E^2*x)) + 12*E^(2 + (3*(81*E^25 - 162*x))/(E^2*x))*x^2)*Log[x] + (-12*E^(2 + (2*(81*E^25 - 162*x))/(E^2*x))*x^3 + E^((3*(81*E^25 - 162*x))/(E^2*x))*(972*E^25*x - 4*E^2*x^2))*Log[x]^2 + (4*E^(2 + (81*E^25 - 162*x)/(E^2*x))*x^4 + E^((2*(81*E^25 - 162*x))/(E^2*x))*(-972*E^25*x^2 + 12*E^2*x^3))*Log[x]^3 + E^((81*E^25 - 162*x)/(E^2*x))*(324*E^25*x^3 - 12*E^2*x^4)*Log[x]^4 + 4*E^2*x^5*Log[x]^5)/(E^2*x^2*Log[x]^5),x]","\frac{e^{-\frac{648}{e^2}} \left(e^{\frac{81 e^{23}}{x}}-e^{\frac{162}{e^2}} x \log (x)\right)^4}{\log ^4(x)}","\left(\frac{e^{\frac{81 \left(\frac{e^{25}}{x}-2\right)}{e^2}}}{\log (x)}-x\right)^4",1,"(E^((81*E^23)/x) - E^(162/E^2)*x*Log[x])^4/(E^(648/E^2)*Log[x]^4)","A",1
7227,1,20,21,0.352491,"\int \frac{8-2 x+\left((8-4 x) \log (x) \log \left(\frac{1}{\log (x)}\right) \log \left(\log \left(\frac{1}{\log (x)}\right)\right)+(4-2 x) \log (3) \log (x) \log \left(\frac{1}{\log (x)}\right) \log ^2\left(\log \left(\frac{1}{\log (x)}\right)\right)\right) \log \left(\frac{2+\log (3) \log \left(\log \left(\frac{1}{\log (x)}\right)\right)}{\log \left(\log \left(\frac{1}{\log (x)}\right)\right)}\right)}{2 \log (x) \log \left(\frac{1}{\log (x)}\right) \log \left(\log \left(\frac{1}{\log (x)}\right)\right)+\log (3) \log (x) \log \left(\frac{1}{\log (x)}\right) \log ^2\left(\log \left(\frac{1}{\log (x)}\right)\right)} \, dx","Integrate[(8 - 2*x + ((8 - 4*x)*Log[x]*Log[Log[x]^(-1)]*Log[Log[Log[x]^(-1)]] + (4 - 2*x)*Log[3]*Log[x]*Log[Log[x]^(-1)]*Log[Log[Log[x]^(-1)]]^2)*Log[(2 + Log[3]*Log[Log[Log[x]^(-1)]])/Log[Log[Log[x]^(-1)]]])/(2*Log[x]*Log[Log[x]^(-1)]*Log[Log[Log[x]^(-1)]] + Log[3]*Log[x]*Log[Log[x]^(-1)]*Log[Log[Log[x]^(-1)]]^2),x]","-\left((x-4) x \log \left(\frac{2}{\log \left(\log \left(\frac{1}{\log (x)}\right)\right)}+\log (3)\right)\right)","(4-x) x \log \left(\frac{2}{\log \left(\log \left(\frac{1}{\log (x)}\right)\right)}+\log (3)\right)",1,"-((-4 + x)*x*Log[Log[3] + 2/Log[Log[Log[x]^(-1)]]])","A",1
7228,1,24,24,0.0083753,"\int \left(-9 x^2+2 x \log (x)+2 x \log ^2(x)-e^x \log (1+\log (4))\right) \, dx","Integrate[-9*x^2 + 2*x*Log[x] + 2*x*Log[x]^2 - E^x*Log[1 + Log[4]],x]","-3 x^3+x^2 \log ^2(x)-e^x \log (1+\log (4))","-3 x^3+x^2 \log ^2(x)-e^x \log (1+\log (4))",1,"-3*x^3 + x^2*Log[x]^2 - E^x*Log[1 + Log[4]]","A",1
7229,1,20,24,0.030602,"\int \frac{192-72 x+2 x^2+\left(32-18 x+x^2\right) \log \left(\frac{9 x^6}{1638400-1843200 x+620800 x^2-57600 x^3+1600 x^4}\right)}{32-18 x+x^2} \, dx","Integrate[(192 - 72*x + 2*x^2 + (32 - 18*x + x^2)*Log[(9*x^6)/(1638400 - 1843200*x + 620800*x^2 - 57600*x^3 + 1600*x^4)])/(32 - 18*x + x^2),x]","x \log \left(\frac{9 x^6}{1600 \left(x^2-18 x+32\right)^2}\right)","x \log \left(\frac{9 x^6}{400 (16-x)^2 (2 x-4)^2}\right)",1,"x*Log[(9*x^6)/(1600*(32 - 18*x + x^2)^2)]","A",1
7230,1,34,32,0.1923631,"\int \frac{\exp \left(\frac{\left(2500+250 x-400 x^2+50 x^3\right) \log ^2(x)}{-5-x+\left(1875-750 x+75 x^2\right) \log ^2(x)}\right) \left(\left(-50000-15000 x+7000 x^2+600 x^3-200 x^4\right) \log (x)+\left(2500 x+8000 x^2-700 x^3-200 x^4\right) \log ^2(x)+\left(4687500 x-3750000 x^2+1125000 x^3-150000 x^4+7500 x^5\right) \log ^4(x)\right)}{25 x+10 x^2+x^3+\left(-18750 x+3750 x^2+750 x^3-150 x^4\right) \log ^2(x)+\left(3515625 x-2812500 x^2+843750 x^3-112500 x^4+5625 x^5\right) \log ^4(x)} \, dx","Integrate[(E^(((2500 + 250*x - 400*x^2 + 50*x^3)*Log[x]^2)/(-5 - x + (1875 - 750*x + 75*x^2)*Log[x]^2))*((-50000 - 15000*x + 7000*x^2 + 600*x^3 - 200*x^4)*Log[x] + (2500*x + 8000*x^2 - 700*x^3 - 200*x^4)*Log[x]^2 + (4687500*x - 3750000*x^2 + 1125000*x^3 - 150000*x^4 + 7500*x^5)*Log[x]^4))/(25*x + 10*x^2 + x^3 + (-18750*x + 3750*x^2 + 750*x^3 - 150*x^4)*Log[x]^2 + (3515625*x - 2812500*x^2 + 843750*x^3 - 112500*x^4 + 5625*x^5)*Log[x]^4),x]","2 \exp \left(-\frac{50 (x-5)^2 (x+2) \log ^2(x)}{x-75 (x-5)^2 \log ^2(x)+5}\right)","2 e^{\frac{2 x+4}{3-\frac{x+5}{25 (5-x)^2 \log ^2(x)}}}",1,"2/E^((50*(-5 + x)^2*(2 + x)*Log[x]^2)/(5 + x - 75*(-5 + x)^2*Log[x]^2))","A",1
7231,1,28,23,0.0142725,"\int \frac{20+\left(-7+4 x-2 x^2\right) \log ^2(2)}{\left(1-2 x+x^2\right) \log ^2(2)} \, dx","Integrate[(20 + (-7 + 4*x - 2*x^2)*Log[2]^2)/((1 - 2*x + x^2)*Log[2]^2),x]","\frac{\frac{5 \left(\log ^2(2)-4\right)}{x-1}-2 (x-1) \log ^2(2)}{\log ^2(2)}","\frac{5 \left(\frac{4}{\log ^2(2)}-x\right)}{1-x}-2 x",1,"(-2*(-1 + x)*Log[2]^2 + (5*(-4 + Log[2]^2))/(-1 + x))/Log[2]^2","A",1
7232,1,37,33,0.306143,"\int \frac{-6+6 x-24 x^2+e^{e^{-5 x^2+x^2 \log (x)}} \left(-4 x^3+e^{-5 x^2+x^2 \log (x)} \left(-9 x^3+9 x^4+\left(2 x^3-2 x^4\right) \log (x)\right)\right)+\left(-6+12 x+e^{e^{-5 x^2+x^2 \log (x)}} \left(-x+2 x^2\right)\right) \log \left(\frac{6+e^{e^{-5 x^2+x^2 \log (x)}} x}{x}\right)}{6 x^2-12 x^3+6 x^4+e^{e^{-5 x^2+x^2 \log (x)}} \left(x^3-2 x^4+x^5\right)} \, dx","Integrate[(-6 + 6*x - 24*x^2 + E^E^(-5*x^2 + x^2*Log[x])*(-4*x^3 + E^(-5*x^2 + x^2*Log[x])*(-9*x^3 + 9*x^4 + (2*x^3 - 2*x^4)*Log[x])) + (-6 + 12*x + E^E^(-5*x^2 + x^2*Log[x])*(-x + 2*x^2))*Log[(6 + E^E^(-5*x^2 + x^2*Log[x])*x)/x])/(6*x^2 - 12*x^3 + 6*x^4 + E^E^(-5*x^2 + x^2*Log[x])*(x^3 - 2*x^4 + x^5)),x]","\frac{4 x-\log \left(e^{e^{-5 x^2} x^{x^2}}+\frac{6}{x}\right)}{(x-1) x}","\frac{\log \left(e^{e^{x^2 (\log (x)-5)}}+\frac{6}{x}\right)-4 x}{x-x^2}",1,"(4*x - Log[E^(x^x^2/E^(5*x^2)) + 6/x])/((-1 + x)*x)","A",1
7233,1,22,18,5.0704009,"\int \frac{\exp \left(e^{\frac{1+8 x^2+2 x^3+x^2 \log (-2+x)}{x}}+\frac{1+8 x^2+2 x^3+x^2 \log (-2+x)}{x}\right) \left(2-x-16 x^2+x^3+4 x^4+\left(-2 x^2+x^3\right) \log (-2+x)\right)}{-2 x^2+x^3} \, dx","Integrate[(E^(E^((1 + 8*x^2 + 2*x^3 + x^2*Log[-2 + x])/x) + (1 + 8*x^2 + 2*x^3 + x^2*Log[-2 + x])/x)*(2 - x - 16*x^2 + x^3 + 4*x^4 + (-2*x^2 + x^3)*Log[-2 + x]))/(-2*x^2 + x^3),x]","e^{e^{2 x^2+8 x+\frac{1}{x}} (x-2)^x}","e^{e^{x \left(\frac{1}{x^2}+2 x+\log (x-2)+8\right)}}",1,"E^(E^(x^(-1) + 8*x + 2*x^2)*(-2 + x)^x)","A",1
7234,1,23,24,0.2064927,"\int \frac{27+3 e^{4 x}+18 x+3 x^2+e \left(-3 x-82 x^2\right)+e^{2 x} \left(18+6 x+e \left(-6 x-164 x^2\right)\right)}{27 x+756 x^2+495 x^3+82 x^4+e^{4 x} \left(3 x+82 x^2\right)+e^{2 x} \left(18 x+498 x^2+164 x^3\right)} \, dx","Integrate[(27 + 3*E^(4*x) + 18*x + 3*x^2 + E*(-3*x - 82*x^2) + E^(2*x)*(18 + 6*x + E*(-6*x - 164*x^2)))/(27*x + 756*x^2 + 495*x^3 + 82*x^4 + E^(4*x)*(3*x + 82*x^2) + E^(2*x)*(18*x + 498*x^2 + 164*x^3)),x]","\frac{e}{x+e^{2 x}+3}+\log (x)-\log (82 x+3)","\frac{e}{x+e^{2 x}+3}+\log \left(\frac{3 x}{82 x+3}\right)",1,"E/(3 + E^(2*x) + x) + Log[x] - Log[3 + 82*x]","A",1
7235,1,21,26,0.1726082,"\int \frac{1}{16} e^{e^{\frac{1}{16} \left(80+18 x-e^5 x-x^2\right)}-x} \left(-16+e^{\frac{1}{16} \left(80+18 x-e^5 x-x^2\right)} \left(18-e^5-2 x\right)\right) \, dx","Integrate[(E^(E^((80 + 18*x - E^5*x - x^2)/16) - x)*(-16 + E^((80 + 18*x - E^5*x - x^2)/16)*(18 - E^5 - 2*x)))/16,x]","e^{e^{5-\frac{1}{16} x \left(x+e^5-18\right)}-x}","e^{e^{\frac{1}{16} \left(-x-e^5+2\right) x+x+5}-x}",1,"E^(E^(5 - (x*(-18 + E^5 + x))/16) - x)","A",1
7236,1,20,22,0.3462646,"\int e^{\frac{-2-x-x^2+\log (x)}{x}} \left(3+2 x-x^2-\log (x)\right) \, dx","Integrate[E^((-2 - x - x^2 + Log[x])/x)*(3 + 2*x - x^2 - Log[x]),x]","e^{-x-\frac{2}{x}-1} x^{\frac{1}{x}+2}","x^2 e^{\frac{-x^2-x+\log (x)-2}{x}}",1,"E^(-1 - 2/x - x)*x^(2 + x^(-1))","A",1
7237,1,52,26,0.2353913,"\int \frac{-40+40 x+6 x^2+18 x^3-x^5+\left(-4 x-20 x^2+x^4\right) \log (x)+\left(8-8 x-4 x^3+4 x^2 \log (x)\right) \log (x-\log (x))}{-4 x^2+4 x \log (x)} \, dx","Integrate[(-40 + 40*x + 6*x^2 + 18*x^3 - x^5 + (-4*x - 20*x^2 + x^4)*Log[x] + (8 - 8*x - 4*x^3 + 4*x^2*Log[x])*Log[x - Log[x]])/(-4*x^2 + 4*x*Log[x]),x]","\frac{1}{4} \left(\frac{x^4}{4}-10 x^2+2 x^2 \log (x-\log (x))-4 x+4 \log ^2(x-\log (x))-40 \log (x-\log (x))\right)","\left(\frac{x^2}{4}+\log (x-\log (x))-5\right)^2-x+e^5-2",1,"(-4*x - 10*x^2 + x^4/4 - 40*Log[x - Log[x]] + 2*x^2*Log[x - Log[x]] + 4*Log[x - Log[x]]^2)/4","A",1
7238,1,52,22,0.7512598,"\int \frac{-x^2+2 x \log (25)-\log ^2(25)+\left(15 x^2-20 x \log (25)+5 \log ^2(25)\right) \log (x)+\left(-3 x^2+4 x \log (25)-\log ^2(25)\right) \log (x) \log (\log (x))}{\left(-2-5 x^3+10 x^2 \log (25)-5 x \log ^2(25)\right) \log (x)+\left(x^3-2 x^2 \log (25)+x \log ^2(25)\right) \log (x) \log (\log (x))} \, dx","Integrate[(-x^2 + 2*x*Log[25] - Log[25]^2 + (15*x^2 - 20*x*Log[25] + 5*Log[25]^2)*Log[x] + (-3*x^2 + 4*x*Log[25] - Log[25]^2)*Log[x]*Log[Log[x]])/((-2 - 5*x^3 + 10*x^2*Log[25] - 5*x*Log[25]^2)*Log[x] + (x^3 - 2*x^2*Log[25] + x*Log[25]^2)*Log[x]*Log[Log[x]]),x]","-\log \left(5 x^3+x^3 (-\log (\log (x)))+2 x^2 \log (25) \log (\log (x))-10 x^2 \log (25)-x \log ^2(25) \log (\log (x))+5 x \log ^2(25)+2\right)","-\log \left(x (5-\log (\log (x))) (x-\log (25))^2+2\right)",1,"-Log[2 + 5*x^3 - 10*x^2*Log[25] + 5*x*Log[25]^2 - x^3*Log[Log[x]] + 2*x^2*Log[25]*Log[Log[x]] - x*Log[25]^2*Log[Log[x]]]","B",1
7239,1,15,26,0.0026721,"\int \frac{e^{-e^2} (1-x)}{x} \, dx","Integrate[(1 - x)/(E^E^2*x),x]","-e^{-e^2} (x-\log (x))","x \left(1-\frac{e^{-e^2} \left(x+\log \left(\frac{1}{x}\right)\right)}{x}\right)-x",1,"-((x - Log[x])/E^E^2)","A",1
7240,1,22,22,0.3445941,"\int \frac{e^{\frac{2}{2 x+\log (2 x)}} (-2-4 x) \log (\log (2))}{4 x^3 \log (3)+4 x^2 \log (3) \log (2 x)+x \log (3) \log ^2(2 x)} \, dx","Integrate[(E^(2/(2*x + Log[2*x]))*(-2 - 4*x)*Log[Log[2]])/(4*x^3*Log[3] + 4*x^2*Log[3]*Log[2*x] + x*Log[3]*Log[2*x]^2),x]","\frac{\log (\log (2)) e^{\frac{2}{2 x+\log (2 x)}}}{\log (3)}","\frac{\log (\log (2)) e^{\frac{2}{2 x+\log (2 x)}}}{\log (3)}",1,"(E^(2/(2*x + Log[2*x]))*Log[Log[2]])/Log[3]","A",1
7241,1,34,30,0.0207857,"\int \left(50+e^{3-x} (-1+x)+292 x+381 x^2+140 x^3+15 x^4\right) \, dx","Integrate[50 + E^(3 - x)*(-1 + x) + 292*x + 381*x^2 + 140*x^3 + 15*x^4,x]","3 x^5+35 x^4+127 x^3+146 x^2-e^{3-x} x+50 x","x \left(\left(\frac{2}{x}+3\right) x (x+1) (x+5)^2-e^{3-x}+x\right)",1,"50*x - E^(3 - x)*x + 146*x^2 + 127*x^3 + 35*x^4 + 3*x^5","A",1
7242,1,12,14,0.0011485,"\int \frac{e^2-3 x^2}{e^2 x^2} \, dx","Integrate[(E^2 - 3*x^2)/(E^2*x^2),x]","-\frac{3 x}{e^2}-\frac{1}{x}","17-\left(\frac{1}{x^2}+\frac{3}{e^2}\right) x",1,"-x^(-1) - (3*x)/E^2","A",1
7243,1,36,26,0.1338297,"\int \frac{-4608-9216 x-4608 x^2+\left(-384-768 x-384 x^2\right) \log (x) \log (4 x)+\left(384+768 x+384 x^2\right) \log ^2(4 x)+\left(-2 x^2-x^3+\left(32+64 x+32 x^2\right) \log (x)\right) \log ^3(4 x)}{\left(x+2 x^2+x^3\right) \log ^3(4 x)} \, dx","Integrate[(-4608 - 9216*x - 4608*x^2 + (-384 - 768*x - 384*x^2)*Log[x]*Log[4*x] + (384 + 768*x + 384*x^2)*Log[4*x]^2 + (-2*x^2 - x^3 + (32 + 64*x + 32*x^2)*Log[x])*Log[4*x]^3)/((x + 2*x^2 + x^3)*Log[4*x]^3),x]","-x-\frac{1}{x+1}+16 \log ^2(x)+\frac{2304}{\log ^2(4 x)}+\frac{384 \log (x)}{\log (4 x)}-384","-x+\frac{x}{x+1}+16 \left(\log (x)+\frac{12}{\log (4 x)}\right)^2",1,"-384 - x - (1 + x)^(-1) + 16*Log[x]^2 + 2304/Log[4*x]^2 + (384*Log[x])/Log[4*x]","A",1
7244,1,24,24,0.7265121,"\int \frac{\left(\frac{1}{3} \left(-20+4 e^2\right)\right)^{\frac{1}{x^2}} \left(\frac{\log (x)}{x}\right)^{\frac{1}{x^2}} \left(1-\log (x)-2 \log (x) \log \left(\frac{\left(-20+4 e^2\right) \log (x)}{3 x}\right)\right)}{x^3 \log (x)} \, dx","Integrate[(((-20 + 4*E^2)/3)^x^(-2)*(Log[x]/x)^x^(-2)*(1 - Log[x] - 2*Log[x]*Log[((-20 + 4*E^2)*Log[x])/(3*x)]))/(x^3*Log[x]),x]","\left(\frac{4}{3} \left(e^2-5\right)\right)^{\frac{1}{x^2}} \left(\frac{\log (x)}{x}\right)^{\frac{1}{x^2}}","\left(\frac{4}{3} \left(e^2-5\right)\right)^{\frac{1}{x^2}} \left(\frac{\log (x)}{x}\right)^{\frac{1}{x^2}}",1,"((4*(-5 + E^2))/3)^x^(-2)*(Log[x]/x)^x^(-2)","A",1
7245,1,15,15,0.0052996,"\int \frac{1}{5} \sqrt[10]{3} \sqrt[10]{e^{2 x}} \, dx","Integrate[(3^(1/10)*(E^(2*x))^(1/10))/5,x]","\sqrt[10]{3} \sqrt[10]{e^{2 x}}","\sqrt[10]{3} \sqrt[10]{e^{2 x}}",1,"3^(1/10)*(E^(2*x))^(1/10)","A",1
7246,1,112,21,0.0174794,"\int \left(-8+36 x-16 x^2+8 x^3-36 x^4+16 x^5+\left(-12+70 x-126 x^2+236 x^3-290 x^4+110 x^5\right) \log (x)+\left(18 x-144 x^2+376 x^3-400 x^4+150 x^5\right) \log ^2(x)\right) \, dx","Integrate[-8 + 36*x - 16*x^2 + 8*x^3 - 36*x^4 + 16*x^5 + (-12 + 70*x - 126*x^2 + 236*x^3 - 290*x^4 + 110*x^5)*Log[x] + (18*x - 144*x^2 + 376*x^3 - 400*x^4 + 150*x^5)*Log[x]^2,x]","x^6+25 x^6 \log ^2(x)+10 x^6 \log (x)-2 x^5-80 x^5 \log ^2(x)-26 x^5 \log (x)-x^4+94 x^4 \log ^2(x)+12 x^4 \log (x)-2 x^3-48 x^3 \log ^2(x)-10 x^3 \log (x)+5 x^2+9 x^2 \log ^2(x)+26 x^2 \log (x)+4 x-12 x \log (x)","(x-((x-1) x (x+(5 x-3) \log (x)))+2)^2",1,"4*x + 5*x^2 - 2*x^3 - x^4 - 2*x^5 + x^6 - 12*x*Log[x] + 26*x^2*Log[x] - 10*x^3*Log[x] + 12*x^4*Log[x] - 26*x^5*Log[x] + 10*x^6*Log[x] + 9*x^2*Log[x]^2 - 48*x^3*Log[x]^2 + 94*x^4*Log[x]^2 - 80*x^5*Log[x]^2 + 25*x^6*Log[x]^2","B",1
7247,1,23,20,0.1607059,"\int \frac{2-x-x^2+e^4 \left(-15 x^2+3 x^3\right)-3 e^4 x^2 \log (x)+\left(e^4 \left(-36 x-6 x^2+6 x^3\right)+e^4 \left(-6 x-3 x^2\right) \log (x)\right) \log (2+x)}{2 x+x^2} \, dx","Integrate[(2 - x - x^2 + E^4*(-15*x^2 + 3*x^3) - 3*E^4*x^2*Log[x] + (E^4*(-36*x - 6*x^2 + 6*x^3) + E^4*(-6*x - 3*x^2)*Log[x])*Log[2 + x])/(2*x + x^2),x]","-x+3 e^4 x (x-\log (x)-5) \log (x+2)+\log (x)","(-x+\log (x)+5) \left(1-3 e^4 x \log (x+2)\right)",1,"-x + Log[x] + 3*E^4*x*(-5 + x - Log[x])*Log[2 + x]","A",1
7248,1,25,23,0.0707663,"\int \frac{e^{10}-2 e^5 x+x^2+\left(4 e^5 x-4 x^2\right) \log ^3(x)+e^5 x \log ^4(x)}{e^{10} x-2 e^5 x^2+x^3} \, dx","Integrate[(E^10 - 2*E^5*x + x^2 + (4*E^5*x - 4*x^2)*Log[x]^3 + E^5*x*Log[x]^4)/(E^10*x - 2*E^5*x^2 + x^3),x]","\frac{\log (x) \left(-x+x \log ^3(x)+e^5\right)}{e^5-x}","-\frac{x \log ^4(x)}{x-e^5}+\log (x)+e^{20}+5",1,"(Log[x]*(E^5 - x + x*Log[x]^3))/(E^5 - x)","A",1
7249,1,13,13,0.0434257,"\int \frac{72+8 x+(-8-8 x) \log (1+x)}{(1+x) \log ^2(1+x)} \, dx","Integrate[(72 + 8*x + (-8 - 8*x)*Log[1 + x])/((1 + x)*Log[1 + x]^2),x]","\frac{8 (-x-9)}{\log (x+1)}","1-\frac{8 (x+9)}{\log (x+1)}",1,"(8*(-9 - x))/Log[1 + x]","A",1
7250,1,22,22,0.0168072,"\int \frac{18+9 e^{-4-x} x^2+32 x^3}{9 x^2} \, dx","Integrate[(18 + 9*E^(-4 - x)*x^2 + 32*x^3)/(9*x^2),x]","\frac{16 x^2}{9}-e^{-x-4}-\frac{2}{x}","\frac{16 x^2}{9}-e^{-x-4}-\frac{2}{x}",1,"-E^(-4 - x) - 2/x + (16*x^2)/9","A",1
7251,1,14,16,0.183141,"\int \frac{(-1+x) \log (x)+\left(-4-x+(-3-x) \log (x)+\log ^2(x)\right) \log (4+x-\log (x))}{(-4-x+\log (x)) \log ^2(4+x-\log (x))} \, dx","Integrate[((-1 + x)*Log[x] + (-4 - x + (-3 - x)*Log[x] + Log[x]^2)*Log[4 + x - Log[x]])/((-4 - x + Log[x])*Log[4 + x - Log[x]]^2),x]","\frac{x \log (x)}{\log (x-\log (x)+4)}","\frac{x \log (x)}{\log (x-\log (x)+4)}-1",1,"(x*Log[x])/Log[4 + x - Log[x]]","A",1
7252,1,19,21,0.0101336,"\int \frac{-3 e^{10}-3 x+e^x \left(5 x+5 x^2\right)}{3 x} \, dx","Integrate[(-3*E^10 - 3*x + E^x*(5*x + 5*x^2))/(3*x),x]","\frac{5 e^x x}{3}-x-e^{10} \log (x)","\frac{5 e^x x}{3}-x-e^{10} \log (2 x)",1,"-x + (5*E^x*x)/3 - E^10*Log[x]","A",1
7253,1,26,17,0.005586,"\int \frac{1}{3} \left(-4 x+12 x^2+4 x^3+\left(-8 x+36 x^2+16 x^3\right) \log (x)\right) \, dx","Integrate[(-4*x + 12*x^2 + 4*x^3 + (-8*x + 36*x^2 + 16*x^3)*Log[x])/3,x]","\frac{4}{3} x^4 \log (x)+4 x^3 \log (x)-\frac{4}{3} x^2 \log (x)","\frac{4}{3} x^2 \left(x^2+3 x-1\right) \log (x)",1,"(-4*x^2*Log[x])/3 + 4*x^3*Log[x] + (4*x^4*Log[x])/3","A",1
7254,1,23,23,0.5090634,"\int \frac{\left(7 x+14 e^{2 x} x\right) \log \left(-\frac{10}{x}\right)+\left(-7 e^{2 x}-7 x+\left(-7 e^{2 x} x-7 x^2\right) \log \left(-\frac{10}{x}\right)\right) \log \left(e^{2 x}+x\right)}{3 e^{3 x} x+3 e^x x^2} \, dx","Integrate[((7*x + 14*E^(2*x)*x)*Log[-10/x] + (-7*E^(2*x) - 7*x + (-7*E^(2*x)*x - 7*x^2)*Log[-10/x])*Log[E^(2*x) + x])/(3*E^(3*x)*x + 3*E^x*x^2),x]","\frac{7}{3} e^{-x} \log \left(-\frac{10}{x}\right) \log \left(x+e^{2 x}\right)","\frac{7}{3} e^{-x} \log \left(-\frac{10}{x}\right) \log \left(x+e^{2 x}\right)",1,"(7*Log[-10/x]*Log[E^(2*x) + x])/(3*E^x)","A",1
7255,1,16,21,0.0006606,"\int \frac{2 e^3 (1+x)^2}{25+25 x} \, dx","Integrate[(2*E^3*(1 + x)^2)/(25 + 25*x),x]","\frac{2}{25} e^3 \left(\frac{x^2}{2}+x\right)","\frac{1}{4} e^5 \left(\frac{4 (x+1)^2}{25 e^2}+4\right)",1,"(2*E^3*(x + x^2/2))/25","A",1
7256,1,29,27,0.1034688,"\int \frac{-2-25 x+e^{x^2} \left(-27+4 x^2\right)+27 \log (x)+\left(-e^{x^2}-x+\log (x)\right) \log \left(\frac{e^{2 x^2}+2 e^{x^2} x+x^2+\left(-2 e^{x^2}-2 x\right) \log (x)+\log ^2(x)}{x^2}\right)}{-e^{x^2} x^2-x^3+x^2 \log (x)} \, dx","Integrate[(-2 - 25*x + E^x^2*(-27 + 4*x^2) + 27*Log[x] + (-E^x^2 - x + Log[x])*Log[(E^(2*x^2) + 2*E^x^2*x + x^2 + (-2*E^x^2 - 2*x)*Log[x] + Log[x]^2)/x^2])/(-(E^x^2*x^2) - x^3 + x^2*Log[x]),x]","-\frac{\log \left(\frac{\left(e^{x^2}+x-\log (x)\right)^2}{x^2}\right)}{x}-\frac{25}{x}","5-\frac{\log \left(\frac{\left(e^{x^2}+x-\log (x)\right)^2}{x^2}\right)+25}{x}",1,"-25/x - Log[(E^x^2 + x - Log[x])^2/x^2]/x","A",1
7257,1,13,13,0.0016844,"\int \frac{24 x^2+24 x^2 \log (3)}{\log (3)} \, dx","Integrate[(24*x^2 + 24*x^2*Log[3])/Log[3],x]","\frac{8 x^3 (1+\log (3))}{\log (3)}","8 x^2 \left(x+\frac{x}{\log (3)}\right)",1,"(8*x^3*(1 + Log[3]))/Log[3]","A",1
7258,0,0,30,8.0796393,"\int \frac{2^{\frac{1}{-2+x}} \left(e^{e^{e^{3+e^{6+x}}}}\right)^{\frac{1}{-2+x}} \left(e^{9+e^{3+e^{6+x}}+e^{6+x}+x} (2-x)+\log \left(2 e^{e^{e^{3+e^{6+x}}}}\right)\right)}{4-4 x+x^2} \, dx","Integrate[(2^(-2 + x)^(-1)*(E^E^E^(3 + E^(6 + x)))^(-2 + x)^(-1)*(E^(9 + E^(3 + E^(6 + x)) + E^(6 + x) + x)*(2 - x) + Log[2*E^E^E^(3 + E^(6 + x))]))/(4 - 4*x + x^2),x]","\int \frac{2^{\frac{1}{-2+x}} \left(e^{e^{e^{3+e^{6+x}}}}\right)^{\frac{1}{-2+x}} \left(e^{9+e^{3+e^{6+x}}+e^{6+x}+x} (2-x)+\log \left(2 e^{e^{e^{3+e^{6+x}}}}\right)\right)}{4-4 x+x^2} \, dx","-2^{\frac{1}{x-2}} \left(e^{e^{e^{e^{x+6}+3}}}\right)^{\frac{1}{x-2}}-2",1,"Integrate[(2^(-2 + x)^(-1)*(E^E^E^(3 + E^(6 + x)))^(-2 + x)^(-1)*(E^(9 + E^(3 + E^(6 + x)) + E^(6 + x) + x)*(2 - x) + Log[2*E^E^E^(3 + E^(6 + x))]))/(4 - 4*x + x^2), x]","F",-1
7259,1,41,31,0.1620679,"\int \frac{\exp \left(\frac{2 \left(2 x^2-x^3-2 x \log \left(\frac{x}{2}\right)-\log ^2\left(\frac{x}{2}\right)\right)}{x^2}\right) \left(-4 x^2-2 x^4+e^4 \left(-4 x-x^2-2 x^3\right)+\left(-4 x+4 x^2+e^4 (-4+4 x)\right) \log \left(\frac{x}{2}\right)+\left(4 e^4+4 x\right) \log ^2\left(\frac{x}{2}\right)\right)}{x^4} \, dx","Integrate[(E^((2*(2*x^2 - x^3 - 2*x*Log[x/2] - Log[x/2]^2))/x^2)*(-4*x^2 - 2*x^4 + E^4*(-4*x - x^2 - 2*x^3) + (-4*x + 4*x^2 + E^4*(-4 + 4*x))*Log[x/2] + (4*E^4 + 4*x)*Log[x/2]^2))/x^4,x]","16^{\frac{1}{x}} x^{-\frac{x+4}{x}} \left(x+e^4\right) e^{-\frac{2 \log ^2\left(\frac{x}{2}\right)}{x^2}-2 x+4}","\frac{\left(x+e^4\right) e^{-\frac{2 \left(x+\log \left(\frac{x}{2}\right)\right)^2}{x^2}-2 x+6}}{x}",1,"(16^x^(-1)*E^(4 - 2*x - (2*Log[x/2]^2)/x^2)*(E^4 + x))/x^((4 + x)/x)","A",1
7260,1,76,23,0.1243806,"\int \frac{-e^{4+2 e^3} x-10 x^2-2 x^3-20 x^4-5 x^5+e^{2+e^3} \left(-10-2 x-20 x^2-6 x^3\right)+\left(-10-2 x-2 e^{2+e^3} x-20 x^2-6 x^3\right) \log (2 x)-x \log ^2(2 x)}{x} \, dx","Integrate[(-(E^(4 + 2*E^3)*x) - 10*x^2 - 2*x^3 - 20*x^4 - 5*x^5 + E^(2 + E^3)*(-10 - 2*x - 20*x^2 - 6*x^3) + (-10 - 2*x - 2*E^(2 + E^3)*x - 20*x^2 - 6*x^3)*Log[2*x] - x*Log[2*x]^2)/x,x]","-x \left((x+5) x^3+2 e^{2+e^3} (x+5) x+e^{4+2 e^3}\right)-\left((x+5) \log ^2(2 x)\right)-2 x \left(x (x+5)+e^{2+e^3}\right) \log (2 x)-10 e^{2+e^3} \log (x)","(-x-5) \left(x^2+\log (2 x)+e^{2+e^3}\right)^2",1,"-(x*(E^(4 + 2*E^3) + 2*E^(2 + E^3)*x*(5 + x) + x^3*(5 + x))) - 10*E^(2 + E^3)*Log[x] - 2*x*(E^(2 + E^3) + x*(5 + x))*Log[2*x] - (5 + x)*Log[2*x]^2","B",1
7261,1,1517,28,2.3468437,"\int \frac{256 x^3+3328 x^4+20736 x^5+82560 x^6+233984 x^7+497088 x^8+808320 x^9+996512 x^{10}+866544 x^{11}+356640 x^{12}-369072 x^{13}-1002816 x^{14}-1296032 x^{15}-1207680 x^{16}-884448 x^{17}-523680 x^{18}-252432 x^{19}-98496 x^{20}-30576 x^{21}-7312 x^{22}-1272 x^{23}-144 x^{24}-8 x^{25}+\left(-1792 x^3-22272 x^4-132480 x^5-502336 x^6-1352576 x^7-2718720 x^8-4151456 x^9-4734416 x^{10}-3653904 x^{11}-952528 x^{12}+2287104 x^{13}+4629792 x^{14}+5263520 x^{15}+4403552 x^{16}+2894688 x^{17}+1525072 x^{18}+644016 x^{19}+214896 x^{20}+54960 x^{21}+10184 x^{22}+1224 x^{23}+72 x^{24}\right) \log (5)+\left(5504 x^3+65408 x^4+371136 x^5+1337760 x^6+3411200 x^7+6457392 x^8+9198320 x^9+9595520 x^{10}+6366336 x^{11}+375072 x^{12}-5659552 x^{13}-9084192 x^{14}-9080256 x^{15}-6771984 x^{16}-3951792 x^{17}-1823216 x^{18}-658768 x^{19}-181272 x^{20}-35960 x^{21}-4608 x^{22}-288 x^{23}\right) \log ^2(5)+\left(-9728 x^3-110592 x^4-598176 x^5-2045488 x^6-4921888 x^7-8728272 x^8-11506656 x^9-10817504 x^{10}-5840736 x^{11}+1446496 x^{12}+7517632 x^{13}+9906576 x^{14}+8684032 x^{15}+5718832 x^{16}+2918160 x^{17}+1152200 x^{18}+343616 x^{19}+73416 x^{20}+10080 x^{21}+672 x^{22}\right) \log ^3(5)+\left(10896 x^3+118608 x^4+611136 x^5+1978064 x^6+4472960 x^7+7384608 x^8+8921456 x^9+7401248 x^{10}+2904672 x^{11}-2422544 x^{12}-5968528 x^{13}-6586272 x^{14}-5036528 x^{15}-2889992 x^{16}-1261512 x^{17}-411432 x^{18}-95368 x^{19}-14112 x^{20}-1008 x^{21}\right) \log ^4(5)+\left(-8016 x^3-83664 x^4-410400 x^5-1254016 x^6-2651952 x^7-4045104 x^8-4421536 x^9-3134704 x^{10}-636096 x^{11}+1765856 x^{12}+2948848 x^{13}+2752008 x^{14}+1818768 x^{15}+891296 x^{16}+321552 x^{17}+81592 x^{18}+13104 x^{19}+1008 x^{20}\right) \log ^5(5)+\left(3872 x^3+38816 x^4+181152 x^5+520928 x^6+1024160 x^7+1429488 x^8+1389264 x^9+796656 x^{10}-58512 x^{11}-713944 x^{12}-906808 x^{13}-717024 x^{14}-402976 x^{15}-163240 x^{16}-45864 x^{17}-8064 x^{18}-672 x^{19}\right) \log ^6(5)+\left(-1184 x^3-11424 x^4-50688 x^5-136656 x^6-247904 x^7-312624 x^8-263376 x^9-109016 x^{10}+63744 x^{11}+164344 x^{12}+166928 x^{13}+111048 x^{14}+51552 x^{15}+16280 x^{16}+3168 x^{17}+288 x^{18}\right) \log ^7(5)+\left(208 x^3+1936 x^4+8160 x^5+20528 x^6+34024 x^7+38088 x^8+26720 x^9+5624 x^{10}-12792 x^{11}-20008 x^{12}-16600 x^{13}-9096 x^{14}-3296 x^{15}-720 x^{16}-72 x^{17}\right) \log ^8(5)+\left(-16 x^3-144 x^4-576 x^5-1344 x^6-2008 x^7-1944 x^8-1056 x^9+96 x^{10}+864 x^{11}+992 x^{12}+672 x^{13}+288 x^{14}+72 x^{15}+8 x^{16}\right) \log ^9(5)}{-1-18 x-153 x^2-816 x^3-3060 x^4-8568 x^5-18564 x^6-31824 x^7-43758 x^8-48620 x^9-43758 x^{10}-31824 x^{11}-18564 x^{12}-8568 x^{13}-3060 x^{14}-816 x^{15}-153 x^{16}-18 x^{17}-x^{18}+\left(9+153 x+1224 x^2+6120 x^3+21420 x^4+55692 x^5+111384 x^6+175032 x^7+218790 x^8+218790 x^9+175032 x^{10}+111384 x^{11}+55692 x^{12}+21420 x^{13}+6120 x^{14}+1224 x^{15}+153 x^{16}+9 x^{17}\right) \log (5)+\left(-36-576 x-4320 x^2-20160 x^3-65520 x^4-157248 x^5-288288 x^6-411840 x^7-463320 x^8-411840 x^9-288288 x^{10}-157248 x^{11}-65520 x^{12}-20160 x^{13}-4320 x^{14}-576 x^{15}-36 x^{16}\right) \log ^2(5)+\left(84+1260 x+8820 x^2+38220 x^3+114660 x^4+252252 x^5+420420 x^6+540540 x^7+540540 x^8+420420 x^9+252252 x^{10}+114660 x^{11}+38220 x^{12}+8820 x^{13}+1260 x^{14}+84 x^{15}\right) \log ^3(5)+\left(-126-1764 x-11466 x^2-45864 x^3-126126 x^4-252252 x^5-378378 x^6-432432 x^7-378378 x^8-252252 x^9-126126 x^{10}-45864 x^{11}-11466 x^{12}-1764 x^{13}-126 x^{14}\right) \log ^4(5)+\left(126+1638 x+9828 x^2+36036 x^3+90090 x^4+162162 x^5+216216 x^6+216216 x^7+162162 x^8+90090 x^9+36036 x^{10}+9828 x^{11}+1638 x^{12}+126 x^{13}\right) \log ^5(5)+\left(-84-1008 x-5544 x^2-18480 x^3-41580 x^4-66528 x^5-77616 x^6-66528 x^7-41580 x^8-18480 x^9-5544 x^{10}-1008 x^{11}-84 x^{12}\right) \log ^6(5)+\left(36+396 x+1980 x^2+5940 x^3+11880 x^4+16632 x^5+16632 x^6+11880 x^7+5940 x^8+1980 x^9+396 x^{10}+36 x^{11}\right) \log ^7(5)+\left(-9-90 x-405 x^2-1080 x^3-1890 x^4-2268 x^5-1890 x^6-1080 x^7-405 x^8-90 x^9-9 x^{10}\right) \log ^8(5)+\left(1+9 x+36 x^2+84 x^3+126 x^4+126 x^5+84 x^6+36 x^7+9 x^8+x^9\right) \log ^9(5)} \, dx","Integrate[(256*x^3 + 3328*x^4 + 20736*x^5 + 82560*x^6 + 233984*x^7 + 497088*x^8 + 808320*x^9 + 996512*x^10 + 866544*x^11 + 356640*x^12 - 369072*x^13 - 1002816*x^14 - 1296032*x^15 - 1207680*x^16 - 884448*x^17 - 523680*x^18 - 252432*x^19 - 98496*x^20 - 30576*x^21 - 7312*x^22 - 1272*x^23 - 144*x^24 - 8*x^25 + (-1792*x^3 - 22272*x^4 - 132480*x^5 - 502336*x^6 - 1352576*x^7 - 2718720*x^8 - 4151456*x^9 - 4734416*x^10 - 3653904*x^11 - 952528*x^12 + 2287104*x^13 + 4629792*x^14 + 5263520*x^15 + 4403552*x^16 + 2894688*x^17 + 1525072*x^18 + 644016*x^19 + 214896*x^20 + 54960*x^21 + 10184*x^22 + 1224*x^23 + 72*x^24)*Log[5] + (5504*x^3 + 65408*x^4 + 371136*x^5 + 1337760*x^6 + 3411200*x^7 + 6457392*x^8 + 9198320*x^9 + 9595520*x^10 + 6366336*x^11 + 375072*x^12 - 5659552*x^13 - 9084192*x^14 - 9080256*x^15 - 6771984*x^16 - 3951792*x^17 - 1823216*x^18 - 658768*x^19 - 181272*x^20 - 35960*x^21 - 4608*x^22 - 288*x^23)*Log[5]^2 + (-9728*x^3 - 110592*x^4 - 598176*x^5 - 2045488*x^6 - 4921888*x^7 - 8728272*x^8 - 11506656*x^9 - 10817504*x^10 - 5840736*x^11 + 1446496*x^12 + 7517632*x^13 + 9906576*x^14 + 8684032*x^15 + 5718832*x^16 + 2918160*x^17 + 1152200*x^18 + 343616*x^19 + 73416*x^20 + 10080*x^21 + 672*x^22)*Log[5]^3 + (10896*x^3 + 118608*x^4 + 611136*x^5 + 1978064*x^6 + 4472960*x^7 + 7384608*x^8 + 8921456*x^9 + 7401248*x^10 + 2904672*x^11 - 2422544*x^12 - 5968528*x^13 - 6586272*x^14 - 5036528*x^15 - 2889992*x^16 - 1261512*x^17 - 411432*x^18 - 95368*x^19 - 14112*x^20 - 1008*x^21)*Log[5]^4 + (-8016*x^3 - 83664*x^4 - 410400*x^5 - 1254016*x^6 - 2651952*x^7 - 4045104*x^8 - 4421536*x^9 - 3134704*x^10 - 636096*x^11 + 1765856*x^12 + 2948848*x^13 + 2752008*x^14 + 1818768*x^15 + 891296*x^16 + 321552*x^17 + 81592*x^18 + 13104*x^19 + 1008*x^20)*Log[5]^5 + (3872*x^3 + 38816*x^4 + 181152*x^5 + 520928*x^6 + 1024160*x^7 + 1429488*x^8 + 1389264*x^9 + 796656*x^10 - 58512*x^11 - 713944*x^12 - 906808*x^13 - 717024*x^14 - 402976*x^15 - 163240*x^16 - 45864*x^17 - 8064*x^18 - 672*x^19)*Log[5]^6 + (-1184*x^3 - 11424*x^4 - 50688*x^5 - 136656*x^6 - 247904*x^7 - 312624*x^8 - 263376*x^9 - 109016*x^10 + 63744*x^11 + 164344*x^12 + 166928*x^13 + 111048*x^14 + 51552*x^15 + 16280*x^16 + 3168*x^17 + 288*x^18)*Log[5]^7 + (208*x^3 + 1936*x^4 + 8160*x^5 + 20528*x^6 + 34024*x^7 + 38088*x^8 + 26720*x^9 + 5624*x^10 - 12792*x^11 - 20008*x^12 - 16600*x^13 - 9096*x^14 - 3296*x^15 - 720*x^16 - 72*x^17)*Log[5]^8 + (-16*x^3 - 144*x^4 - 576*x^5 - 1344*x^6 - 2008*x^7 - 1944*x^8 - 1056*x^9 + 96*x^10 + 864*x^11 + 992*x^12 + 672*x^13 + 288*x^14 + 72*x^15 + 8*x^16)*Log[5]^9)/(-1 - 18*x - 153*x^2 - 816*x^3 - 3060*x^4 - 8568*x^5 - 18564*x^6 - 31824*x^7 - 43758*x^8 - 48620*x^9 - 43758*x^10 - 31824*x^11 - 18564*x^12 - 8568*x^13 - 3060*x^14 - 816*x^15 - 153*x^16 - 18*x^17 - x^18 + (9 + 153*x + 1224*x^2 + 6120*x^3 + 21420*x^4 + 55692*x^5 + 111384*x^6 + 175032*x^7 + 218790*x^8 + 218790*x^9 + 175032*x^10 + 111384*x^11 + 55692*x^12 + 21420*x^13 + 6120*x^14 + 1224*x^15 + 153*x^16 + 9*x^17)*Log[5] + (-36 - 576*x - 4320*x^2 - 20160*x^3 - 65520*x^4 - 157248*x^5 - 288288*x^6 - 411840*x^7 - 463320*x^8 - 411840*x^9 - 288288*x^10 - 157248*x^11 - 65520*x^12 - 20160*x^13 - 4320*x^14 - 576*x^15 - 36*x^16)*Log[5]^2 + (84 + 1260*x + 8820*x^2 + 38220*x^3 + 114660*x^4 + 252252*x^5 + 420420*x^6 + 540540*x^7 + 540540*x^8 + 420420*x^9 + 252252*x^10 + 114660*x^11 + 38220*x^12 + 8820*x^13 + 1260*x^14 + 84*x^15)*Log[5]^3 + (-126 - 1764*x - 11466*x^2 - 45864*x^3 - 126126*x^4 - 252252*x^5 - 378378*x^6 - 432432*x^7 - 378378*x^8 - 252252*x^9 - 126126*x^10 - 45864*x^11 - 11466*x^12 - 1764*x^13 - 126*x^14)*Log[5]^4 + (126 + 1638*x + 9828*x^2 + 36036*x^3 + 90090*x^4 + 162162*x^5 + 216216*x^6 + 216216*x^7 + 162162*x^8 + 90090*x^9 + 36036*x^10 + 9828*x^11 + 1638*x^12 + 126*x^13)*Log[5]^5 + (-84 - 1008*x - 5544*x^2 - 18480*x^3 - 41580*x^4 - 66528*x^5 - 77616*x^6 - 66528*x^7 - 41580*x^8 - 18480*x^9 - 5544*x^10 - 1008*x^11 - 84*x^12)*Log[5]^6 + (36 + 396*x + 1980*x^2 + 5940*x^3 + 11880*x^4 + 16632*x^5 + 16632*x^6 + 11880*x^7 + 5940*x^8 + 1980*x^9 + 396*x^10 + 36*x^11)*Log[5]^7 + (-9 - 90*x - 405*x^2 - 1080*x^3 - 1890*x^4 - 2268*x^5 - 1890*x^6 - 1080*x^7 - 405*x^8 - 90*x^9 - 9*x^10)*Log[5]^8 + (1 + 9*x + 36*x^2 + 84*x^3 + 126*x^4 + 126*x^5 + 84*x^6 + 36*x^7 + 9*x^8 + x^9)*Log[5]^9),x]","-\frac{-x^{24}+8 (-2+\log (5)) x^{23}-4 \left(32-30 \log (5)+7 \log ^2(5)\right) x^{22}+56 (-3+\log (5)) (-2+\log (5))^2 x^{21}+\left(-2572+4368 \log (5)-2716 \log ^2(5)+728 \log ^3(5)-70 \log ^4(5)\right) x^{20}+8 \left(-944+1928 \log (5)-1526 \log ^2(5)+581 \log ^3(5)-105 \log ^4(5)+7 \log ^5(5)\right) x^{19}-4 \left(4356-10352 \log (5)+9856 \log ^2(5)-4774 \log ^3(5)+1225 \log ^4(5)-154 \log ^5(5)+7 \log ^6(5)\right) x^{18}+8 \left(-3964+10766 \log (5)-11956 \log ^2(5)+6972 \log ^3(5)-2275 \log ^4(5)+406 \log ^5(5)-35 \log ^6(5)+\log ^7(5)\right) x^{17}+\left(-40885+130520 \log (5)-169276 \log ^2(5)+116328 \log ^3(5)-45784 \log ^4(5)+10312 \log ^5(5)-1232 \log ^6(5)+64 \log ^7(5)\right) x^{16}-8 \left(-1802-1891 \log (5)+8848 \log ^2(5)-8854 \log ^3(5)+3846 \log ^4(5)-573 \log ^5(5)-132 \log ^6(5)+63 \log ^7(5)-9 \log ^8(5)+\log ^9(5)\right) x^{15}+4 \left(105462-301270 \log (5)+398331 \log ^2(5)-328404 \log ^3(5)+189520 \log ^4(5)-80210 \log ^5(5)+25121 \log ^6(5)-5658 \log ^7(5)+851 \log ^8(5)-86 \log ^9(5)+7 \log ^{10}(5)\right) x^{14}-8 \left(-261718+900465 \log (5)-1422745 \log ^2(5)+1379403 \log ^3(5)-918372 \log ^4(5)+442512 \log ^5(5)-158123 \log ^6(5)+42039 \log ^7(5)-8099 \log ^8(5)+1085 \log ^9(5)-105 \log ^{10}(5)+7 \log ^{11}(5)\right) x^{13}+2 \left(3401548-13446252 \log (5)+24334426 \log ^2(5)-26934604 \log ^3(5)+20452269 \log ^4(5)-11273696 \log ^5(5)+4644458 \log ^6(5)-1447324 \log ^7(5)+338823 \log ^8(5)-57988 \log ^9(5)+7126 \log ^{10}(5)-644 \log ^{11}(5)+35 \log ^{12}(5)\right) x^{12}-8 \left(-2032170+9056673 \log (5)-18453990 \log ^2(5)+22962474 \log ^3(5)-19602607 \log ^4(5)+12182377 \log ^5(5)-5692022 \log ^6(5)+2032351 \log ^7(5)-555853 \log ^8(5)+114863 \log ^9(5)-17542 \log ^{10}(5)+1974 \log ^{11}(5)-161 \log ^{12}(5)+7 \log ^{13}(5)\right) x^{11}+4 \left(7429782-36841070 \log (5)+83480067 \log ^2(5)-115404604 \log ^3(5)+109433533 \log ^4(5)-75666822 \log ^5(5)+39487013 \log ^6(5)-15851162 \log ^7(5)+4930737 \log ^8(5)-1182426 \log ^9(5)+215061 \log ^{10}(5)-29260 \log ^{11}(5)+2975 \log ^{12}(5)-210 \log ^{13}(5)+7 \log ^{14}(5)\right) x^{10}-8 \left(-5298410+28928199 \log (5)-72174151 \log ^2(5)+109788313 \log ^3(5)-114508915 \log ^4(5)+87144309 \log ^5(5)-50165665 \log ^6(5)+22306259 \log ^7(5)-7740311 \log ^8(5)+2096211 \log ^9(5)-438429 \log ^{10}(5)+69751 \log ^{11}(5)-8385 \log ^{12}(5)+749 \log ^{13}(5)-43 \log ^{14}(5)+\log ^{15}(5)\right) x^9+\left(47644690-283990136 \log (5)+773732396 \log ^2(5)-1284735800 \log ^3(5)+1461881646 \log ^4(5)-1213746616 \log ^5(5)+763071156 \log ^6(5)-371436136 \log ^7(5)+141693036 \log ^8(5)-42498416 \log ^9(5)+9960504 \log ^{10}(5)-1799536 \log ^{11}(5)+247696 \log ^{12}(5)-25808 \log ^{13}(5)+1920 \log ^{14}(5)-80 \log ^{15}(5)+\log ^{16}(5)\right) x^8+8 \left(5291506-34188849 \log (5)+101012664 \log ^2(5)-181841238 \log ^3(5)+224194664 \log ^4(5)-201597042 \log ^5(5)+137290120 \log ^6(5)-72467582 \log ^7(5)+30046041 \log ^8(5)-9836495 \log ^9(5)+2534640 \log ^{10}(5)-508180 \log ^{11}(5)+78136 \log ^{12}(5)-9134 \log ^{13}(5)+792 \log ^{14}(5)-44 \log ^{15}(5)+\log ^{16}(5)\right) x^7+4 (-1+\log (5))^2 \left(7406486-36746338 \log (5)+83317229 \log ^2(5)-115250768 \log ^3(5)+109346787 \log ^4(5)-75637262 \log ^5(5)+39481183 \log ^6(5)-15850576 \log ^7(5)+4930716 \log ^8(5)-1182426 \log ^9(5)+215061 \log ^{10}(5)-29260 \log ^{11}(5)+2975 \log ^{12}(5)-210 \log ^{13}(5)+7 \log ^{14}(5)\right) x^6+8 (-1+\log (5))^3 \left(-2019750+9011167 \log (5)-18384638 \log ^2(5)+22905754 \log ^3(5)-19575965 \log ^4(5)+12175335 \log ^5(5)-5691112 \log ^6(5)+2032324 \log ^7(5)-555856 \log ^8(5)+114863 \log ^9(5)-17542 \log ^{10}(5)+1974 \log ^{11}(5)-161 \log ^{12}(5)+7 \log ^{13}(5)\right) x^5+2 (-1+\log (5))^4 \left(3366122-13335204 \log (5)+24197494 \log ^2(5)-26854116 \log ^3(5)+20433751 \log ^4(5)-11276608 \log ^5(5)+4646992 \log ^6(5)-1447824 \log ^7(5)+338856 \log ^8(5)-57988 \log ^9(5)+7126 \log ^{10}(5)-644 \log ^{11}(5)+35 \log ^{12}(5)\right) x^4+56 (-1+\log (5))^5 \left(-36990+128045 \log (5)-203733 \log ^2(5)+198711 \log ^3(5)-132696 \log ^4(5)+63894 \log ^5(5)-22754 \log ^6(5)+6026 \log ^7(5)-1158 \log ^8(5)+155 \log ^9(5)-15 \log ^{10}(5)+\log ^{11}(5)\right) x^3+4 (-1+\log (5))^6 \left(110970-328650 \log (5)+450573 \log ^2(5)-379952 \log ^3(5)+218640 \log ^4(5)-89884 \log ^5(5)+26962 \log ^6(5)-5840 \log ^7(5)+858 \log ^8(5)-86 \log ^9(5)+7 \log ^{10}(5)\right) x^2+8 (-1+\log (5))^7 \left(-7398+18211 \log (5)-21056 \log ^2(5)+15044 \log ^3(5)-7284 \log ^4(5)+2486 \log ^5(5)-608 \log ^6(5)+100 \log ^7(5)-10 \log ^8(5)+\log ^9(5)\right) x+(-1+\log (5))^8 \left(3699-7256 \log (5)+6900 \log ^2(5)-4072 \log ^3(5)+1606 \log ^4(5)-440 \log ^5(5)+84 \log ^6(5)-8 \log ^7(5)+\log ^8(5)\right)}{(x+1)^8 (x-\log (5)+1)^8}","\left(\left(\frac{x^2}{\left(x^2+x\right) (x+1-\log (5))}+x\right)^4-2\right)^2",1,"-((-x^24 + 8*x^23*(-2 + Log[5]) + 56*x^21*(-3 + Log[5])*(-2 + Log[5])^2 - 4*x^22*(32 - 30*Log[5] + 7*Log[5]^2) + x^20*(-2572 + 4368*Log[5] - 2716*Log[5]^2 + 728*Log[5]^3 - 70*Log[5]^4) + 8*x^19*(-944 + 1928*Log[5] - 1526*Log[5]^2 + 581*Log[5]^3 - 105*Log[5]^4 + 7*Log[5]^5) - 4*x^18*(4356 - 10352*Log[5] + 9856*Log[5]^2 - 4774*Log[5]^3 + 1225*Log[5]^4 - 154*Log[5]^5 + 7*Log[5]^6) + 8*x^17*(-3964 + 10766*Log[5] - 11956*Log[5]^2 + 6972*Log[5]^3 - 2275*Log[5]^4 + 406*Log[5]^5 - 35*Log[5]^6 + Log[5]^7) + x^16*(-40885 + 130520*Log[5] - 169276*Log[5]^2 + 116328*Log[5]^3 - 45784*Log[5]^4 + 10312*Log[5]^5 - 1232*Log[5]^6 + 64*Log[5]^7) + (-1 + Log[5])^8*(3699 - 7256*Log[5] + 6900*Log[5]^2 - 4072*Log[5]^3 + 1606*Log[5]^4 - 440*Log[5]^5 + 84*Log[5]^6 - 8*Log[5]^7 + Log[5]^8) + 8*x*(-1 + Log[5])^7*(-7398 + 18211*Log[5] - 21056*Log[5]^2 + 15044*Log[5]^3 - 7284*Log[5]^4 + 2486*Log[5]^5 - 608*Log[5]^6 + 100*Log[5]^7 - 10*Log[5]^8 + Log[5]^9) - 8*x^15*(-1802 - 1891*Log[5] + 8848*Log[5]^2 - 8854*Log[5]^3 + 3846*Log[5]^4 - 573*Log[5]^5 - 132*Log[5]^6 + 63*Log[5]^7 - 9*Log[5]^8 + Log[5]^9) + 4*x^14*(105462 - 301270*Log[5] + 398331*Log[5]^2 - 328404*Log[5]^3 + 189520*Log[5]^4 - 80210*Log[5]^5 + 25121*Log[5]^6 - 5658*Log[5]^7 + 851*Log[5]^8 - 86*Log[5]^9 + 7*Log[5]^10) + 4*x^2*(-1 + Log[5])^6*(110970 - 328650*Log[5] + 450573*Log[5]^2 - 379952*Log[5]^3 + 218640*Log[5]^4 - 89884*Log[5]^5 + 26962*Log[5]^6 - 5840*Log[5]^7 + 858*Log[5]^8 - 86*Log[5]^9 + 7*Log[5]^10) + 56*x^3*(-1 + Log[5])^5*(-36990 + 128045*Log[5] - 203733*Log[5]^2 + 198711*Log[5]^3 - 132696*Log[5]^4 + 63894*Log[5]^5 - 22754*Log[5]^6 + 6026*Log[5]^7 - 1158*Log[5]^8 + 155*Log[5]^9 - 15*Log[5]^10 + Log[5]^11) - 8*x^13*(-261718 + 900465*Log[5] - 1422745*Log[5]^2 + 1379403*Log[5]^3 - 918372*Log[5]^4 + 442512*Log[5]^5 - 158123*Log[5]^6 + 42039*Log[5]^7 - 8099*Log[5]^8 + 1085*Log[5]^9 - 105*Log[5]^10 + 7*Log[5]^11) + 2*x^12*(3401548 - 13446252*Log[5] + 24334426*Log[5]^2 - 26934604*Log[5]^3 + 20452269*Log[5]^4 - 11273696*Log[5]^5 + 4644458*Log[5]^6 - 1447324*Log[5]^7 + 338823*Log[5]^8 - 57988*Log[5]^9 + 7126*Log[5]^10 - 644*Log[5]^11 + 35*Log[5]^12) + 2*x^4*(-1 + Log[5])^4*(3366122 - 13335204*Log[5] + 24197494*Log[5]^2 - 26854116*Log[5]^3 + 20433751*Log[5]^4 - 11276608*Log[5]^5 + 4646992*Log[5]^6 - 1447824*Log[5]^7 + 338856*Log[5]^8 - 57988*Log[5]^9 + 7126*Log[5]^10 - 644*Log[5]^11 + 35*Log[5]^12) + 8*x^5*(-1 + Log[5])^3*(-2019750 + 9011167*Log[5] - 18384638*Log[5]^2 + 22905754*Log[5]^3 - 19575965*Log[5]^4 + 12175335*Log[5]^5 - 5691112*Log[5]^6 + 2032324*Log[5]^7 - 555856*Log[5]^8 + 114863*Log[5]^9 - 17542*Log[5]^10 + 1974*Log[5]^11 - 161*Log[5]^12 + 7*Log[5]^13) - 8*x^11*(-2032170 + 9056673*Log[5] - 18453990*Log[5]^2 + 22962474*Log[5]^3 - 19602607*Log[5]^4 + 12182377*Log[5]^5 - 5692022*Log[5]^6 + 2032351*Log[5]^7 - 555853*Log[5]^8 + 114863*Log[5]^9 - 17542*Log[5]^10 + 1974*Log[5]^11 - 161*Log[5]^12 + 7*Log[5]^13) + 4*x^6*(-1 + Log[5])^2*(7406486 - 36746338*Log[5] + 83317229*Log[5]^2 - 115250768*Log[5]^3 + 109346787*Log[5]^4 - 75637262*Log[5]^5 + 39481183*Log[5]^6 - 15850576*Log[5]^7 + 4930716*Log[5]^8 - 1182426*Log[5]^9 + 215061*Log[5]^10 - 29260*Log[5]^11 + 2975*Log[5]^12 - 210*Log[5]^13 + 7*Log[5]^14) + 4*x^10*(7429782 - 36841070*Log[5] + 83480067*Log[5]^2 - 115404604*Log[5]^3 + 109433533*Log[5]^4 - 75666822*Log[5]^5 + 39487013*Log[5]^6 - 15851162*Log[5]^7 + 4930737*Log[5]^8 - 1182426*Log[5]^9 + 215061*Log[5]^10 - 29260*Log[5]^11 + 2975*Log[5]^12 - 210*Log[5]^13 + 7*Log[5]^14) - 8*x^9*(-5298410 + 28928199*Log[5] - 72174151*Log[5]^2 + 109788313*Log[5]^3 - 114508915*Log[5]^4 + 87144309*Log[5]^5 - 50165665*Log[5]^6 + 22306259*Log[5]^7 - 7740311*Log[5]^8 + 2096211*Log[5]^9 - 438429*Log[5]^10 + 69751*Log[5]^11 - 8385*Log[5]^12 + 749*Log[5]^13 - 43*Log[5]^14 + Log[5]^15) + x^8*(47644690 - 283990136*Log[5] + 773732396*Log[5]^2 - 1284735800*Log[5]^3 + 1461881646*Log[5]^4 - 1213746616*Log[5]^5 + 763071156*Log[5]^6 - 371436136*Log[5]^7 + 141693036*Log[5]^8 - 42498416*Log[5]^9 + 9960504*Log[5]^10 - 1799536*Log[5]^11 + 247696*Log[5]^12 - 25808*Log[5]^13 + 1920*Log[5]^14 - 80*Log[5]^15 + Log[5]^16) + 8*x^7*(5291506 - 34188849*Log[5] + 101012664*Log[5]^2 - 181841238*Log[5]^3 + 224194664*Log[5]^4 - 201597042*Log[5]^5 + 137290120*Log[5]^6 - 72467582*Log[5]^7 + 30046041*Log[5]^8 - 9836495*Log[5]^9 + 2534640*Log[5]^10 - 508180*Log[5]^11 + 78136*Log[5]^12 - 9134*Log[5]^13 + 792*Log[5]^14 - 44*Log[5]^15 + Log[5]^16))/((1 + x)^8*(1 + x - Log[5])^8))","B",1
7262,1,36,33,0.7258457,"\int \frac{-69177612+5618340 x-172284 x^2+2352 x^3-12 x^4+e^x \left(103766418+60706884 x-5387844 x^2+169344 x^3-2334 x^4+12 x^5\right)}{23059204 x^2-1872780 x^3+57233 x^4-780 x^5+4 x^6+e^x \left(-23059204 x-44240826 x^2+3697736 x^3-114074 x^4+1560 x^5-8 x^6\right)+e^{2 x} \left(5764801+22588608 x+21191226 x^2-1824956 x^3+56841 x^4-780 x^5+4 x^6\right)} \, dx","Integrate[(-69177612 + 5618340*x - 172284*x^2 + 2352*x^3 - 12*x^4 + E^x*(103766418 + 60706884*x - 5387844*x^2 + 169344*x^3 - 2334*x^4 + 12*x^5))/(23059204*x^2 - 1872780*x^3 + 57233*x^4 - 780*x^5 + 4*x^6 + E^x*(-23059204*x - 44240826*x^2 + 3697736*x^3 - 114074*x^4 + 1560*x^5 - 8*x^6) + E^(2*x)*(5764801 + 22588608*x + 21191226*x^2 - 1824956*x^3 + 56841*x^4 - 780*x^5 + 4*x^6)),x]","-\frac{6 (x-49)^2}{x \left(-2 x^2+195 x-4802\right)+e^x (2 x+1) (x-49)^2}","\frac{3}{\frac{1}{2} \left(\frac{x^2}{(49-x)^2}-e^x\right)-e^x x+x}",1,"(-6*(-49 + x)^2)/(E^x*(-49 + x)^2*(1 + 2*x) + x*(-4802 + 195*x - 2*x^2))","A",1
7263,1,29,29,0.476621,"\int \frac{e^x (-4+2 x) \log (-2+x)+\left(-e^x x+e^x (-2+x) \log (-2+x)\right) \log \left(x^2\right)+e^x \left(2 x^2-x^3\right) \log ^2\left(x^2\right)+\left(e^x (-2+x) \log (-2+x) \log \left(x^2\right)+e^x \left(-2 x^2+x^3\right) \log ^2\left(x^2\right)\right) \log \left(\frac{\log (-2+x)+x^2 \log \left(x^2\right)}{x \log \left(x^2\right)}\right)+\left(e^x \left(2-3 x+x^2\right) \log (-2+x) \log \left(x^2\right)+e^x \left(2 x^2-3 x^3+x^4\right) \log ^2\left(x^2\right)\right) \log \left(\frac{\log (-2+x)+x^2 \log \left(x^2\right)}{x \log \left(x^2\right)}\right) \log \left(\frac{x}{\log \left(\frac{\log (-2+x)+x^2 \log \left(x^2\right)}{x \log \left(x^2\right)}\right)}\right)}{\left(\left(-2 x^2+x^3\right) \log (-2+x) \log \left(x^2\right)+\left(-2 x^4+x^5\right) \log ^2\left(x^2\right)\right) \log \left(\frac{\log (-2+x)+x^2 \log \left(x^2\right)}{x \log \left(x^2\right)}\right)} \, dx","Integrate[(E^x*(-4 + 2*x)*Log[-2 + x] + (-(E^x*x) + E^x*(-2 + x)*Log[-2 + x])*Log[x^2] + E^x*(2*x^2 - x^3)*Log[x^2]^2 + (E^x*(-2 + x)*Log[-2 + x]*Log[x^2] + E^x*(-2*x^2 + x^3)*Log[x^2]^2)*Log[(Log[-2 + x] + x^2*Log[x^2])/(x*Log[x^2])] + (E^x*(2 - 3*x + x^2)*Log[-2 + x]*Log[x^2] + E^x*(2*x^2 - 3*x^3 + x^4)*Log[x^2]^2)*Log[(Log[-2 + x] + x^2*Log[x^2])/(x*Log[x^2])]*Log[x/Log[(Log[-2 + x] + x^2*Log[x^2])/(x*Log[x^2])]])/(((-2*x^2 + x^3)*Log[-2 + x]*Log[x^2] + (-2*x^4 + x^5)*Log[x^2]^2)*Log[(Log[-2 + x] + x^2*Log[x^2])/(x*Log[x^2])]),x]","\frac{e^x \log \left(\frac{x}{\log \left(\frac{\log (x-2)}{x \log \left(x^2\right)}+x\right)}\right)}{x}","\frac{e^x \log \left(\frac{x}{\log \left(\frac{\log (x-2)}{x \log \left(x^2\right)}+x\right)}\right)}{x}",1,"(E^x*Log[x/Log[x + Log[-2 + x]/(x*Log[x^2])]])/x","A",1
7264,1,13,15,0.0052961,"\int \frac{900 e^{\frac{450}{-1+2 x}}}{1-4 x+4 x^2} \, dx","Integrate[(900*E^(450/(-1 + 2*x)))/(1 - 4*x + 4*x^2),x]","-e^{\frac{450}{2 x-1}}","2-e^{\frac{450}{2 x-1}}",1,"-E^(450/(-1 + 2*x))","A",1
7265,1,20,20,0.0864279,"\int \frac{9 x+12 x^2+18 x^3-6 x^4-6 x^2 \log (x)+\left(24 x^2-12 x^4-12 x^2 \log (x)+\left(-36 x+18 x^3+18 x \log (x)\right) \log \left(-2+x^2+\log (x)\right)\right) \log \left(-2 x+3 \log \left(-2+x^2+\log (x)\right)\right)}{4 x-2 x^3-2 x \log (x)+\left(-6+3 x^2+3 \log (x)\right) \log \left(-2+x^2+\log (x)\right)} \, dx","Integrate[(9*x + 12*x^2 + 18*x^3 - 6*x^4 - 6*x^2*Log[x] + (24*x^2 - 12*x^4 - 12*x^2*Log[x] + (-36*x + 18*x^3 + 18*x*Log[x])*Log[-2 + x^2 + Log[x]])*Log[-2*x + 3*Log[-2 + x^2 + Log[x]]])/(4*x - 2*x^3 - 2*x*Log[x] + (-6 + 3*x^2 + 3*Log[x])*Log[-2 + x^2 + Log[x]]),x]","3 x^2 \log \left(3 \log \left(x^2+\log (x)-2\right)-2 x\right)","3 x^2 \log \left(3 \log \left(x^2+\log (x)-2\right)-2 x\right)",1,"3*x^2*Log[-2*x + 3*Log[-2 + x^2 + Log[x]]]","A",1
7266,1,23,25,0.0258972,"\int \frac{-2 \log (x)+(2+(2+x) \log (x)) \log \left(x+9 e^8 x\right)}{x \log (x) \log \left(x+9 e^8 x\right)} \, dx","Integrate[(-2*Log[x] + (2 + (2 + x)*Log[x])*Log[x + 9*E^8*x])/(x*Log[x]*Log[x + 9*E^8*x]),x]","x+2 \log (x)+2 \log (\log (x))-2 \log \left(\log \left(9 e^8 x+x\right)\right)","x-\log \left(\frac{36 \log ^2\left(9 e^8 x+x\right)}{x^2 \log ^2(x)}\right)",1,"x + 2*Log[x] + 2*Log[Log[x]] - 2*Log[Log[x + 9*E^8*x]]","A",1
7267,1,24,24,0.8611801,"\int \frac{-60+108 x+(-12+240 x) \log (x)+(24 x+48 x \log (x)) \log (5 x)}{16 x^2+\left(8 x^2-72 x^3\right) \log (x)+\left(x^2-18 x^3+81 x^4\right) \log ^2(x)+\left(-16 x^3 \log (x)+\left(-4 x^3+36 x^4\right) \log ^2(x)\right) \log (5 x)+4 x^4 \log ^2(x) \log ^2(5 x)} \, dx","Integrate[(-60 + 108*x + (-12 + 240*x)*Log[x] + (24*x + 48*x*Log[x])*Log[5*x])/(16*x^2 + (8*x^2 - 72*x^3)*Log[x] + (x^2 - 18*x^3 + 81*x^4)*Log[x]^2 + (-16*x^3*Log[x] + (-4*x^3 + 36*x^4)*Log[x]^2)*Log[5*x] + 4*x^4*Log[x]^2*Log[5*x]^2),x]","-\frac{12}{x (\log (x) (9 x+2 x \log (5 x)-1)-4)}","\frac{12}{x (\log (x) (x-2 x (\log (5 x)+5)+1)+4)}",1,"-12/(x*(-4 + Log[x]*(-1 + 9*x + 2*x*Log[5*x])))","A",1
7268,1,38,31,0.1261551,"\int \frac{1}{4} e^{2 x} \left(155-32 x-19 x^2-2 x^3-2 x^4+e^5 \left(-5-10 x+3 x^2+2 x^3\right)\right) \, dx","Integrate[(E^(2*x)*(155 - 32*x - 19*x^2 - 2*x^3 - 2*x^4 + E^5*(-5 - 10*x + 3*x^2 + 2*x^3)))/4,x]","\frac{1}{4} e^{2 x} \left(-x^4+\left(1+e^5\right) x^3-11 x^2-5 \left(1+e^5\right) x+80\right)","e^{2 x} \left(-\frac{1}{4} \left(-x+e^5-3\right) x-x+4\right) \left(5-x^2\right)",1,"(E^(2*x)*(80 - 5*(1 + E^5)*x - 11*x^2 + (1 + E^5)*x^3 - x^4))/4","A",1
7269,1,18,22,0.018987,"\int \frac{e^{e^x} \left(-54 x+e^x \left(-2+27 x^2\right)\right)}{16-432 x^2+2916 x^4} \, dx","Integrate[(E^E^x*(-54*x + E^x*(-2 + 27*x^2)))/(16 - 432*x^2 + 2916*x^4),x]","\frac{e^{e^x}}{4 \left(27 x^2-2\right)}","3-\frac{e^{e^x}}{3 \left(4-36 x^2\right)-4}",1,"E^E^x/(4*(-2 + 27*x^2))","A",1
7270,1,41,22,0.2820896,"\int \frac{30 x^4+2 x^6+e^{\frac{-1+x^2}{x^2}} \left(30+2 x^2\right)+\left(2 e^{\frac{-1+x^2}{x^2}} x^4+2 x^6\right) \log \left(5 e^{\frac{-1+x^2}{x^2}}+5 x^2\right)}{e^{\frac{-1+x^2}{x^2}} x^3+x^5} \, dx","Integrate[(30*x^4 + 2*x^6 + E^((-1 + x^2)/x^2)*(30 + 2*x^2) + (2*E^((-1 + x^2)/x^2)*x^4 + 2*x^6)*Log[5*E^((-1 + x^2)/x^2) + 5*x^2])/(E^((-1 + x^2)/x^2)*x^3 + x^5),x]","-\frac{15}{x^2}+x^2 \log \left(5 \left(x^2+e^{1-\frac{1}{x^2}}\right)\right)+15 \log \left(e^{\frac{1}{x^2}} x^2+e\right)+1","\left(x^2+15\right) \log \left(5 \left(x^2+e^{1-\frac{1}{x^2}}\right)\right)",1,"1 - 15/x^2 + x^2*Log[5*(E^(1 - x^(-2)) + x^2)] + 15*Log[E + E^x^(-2)*x^2]","A",1
7271,1,16,21,0.0110229,"\int \frac{1+x+16 x^4+e^x \left(2 x^2+x^3\right)}{x} \, dx","Integrate[(1 + x + 16*x^4 + E^x*(2*x^2 + x^3))/x,x]","4 x^4+e^x x^2+x+\log (x)","\left(4 x^2+e^x\right) x^2+\log \left(e^x x\right)-5",1,"x + E^x*x^2 + 4*x^4 + Log[x]","A",1
7272,1,24,24,0.3996837,"\int \frac{e^x (-16+4 x)+x^{\frac{1}{x}} \left(x^2-x^3-x^2 \log (x)\right)}{4 e^x x+2 x^5+x^{4+\frac{1}{x}}} \, dx","Integrate[(E^x*(-16 + 4*x) + x^x^(-1)*(x^2 - x^3 - x^2*Log[x]))/(4*E^x*x + 2*x^5 + x^(4 + x^(-1))),x]","\log \left(x^{\frac{1}{x}+3}+2 x^4+4 e^x\right)-4 \log (x)","\log \left(\frac{x^{\frac{1}{x}}+\frac{4 e^x}{x^3}+2 x}{x}\right)+5",1,"-4*Log[x] + Log[4*E^x + 2*x^4 + x^(3 + x^(-1))]","A",1
7273,1,25,25,1.2838197,"\int \frac{-e^{e^{\frac{1}{x}}} x^2+e^{e^{\frac{1}{x}}} \left(-50 x-2 x^2+e^{\frac{1}{x}} (25+x)+\left(e^{\frac{1}{x}} (-25-x)+50 x+2 x^2\right) \log (25+x)\right) \log (1-\log (25+x))}{(-50-2 x+(50+2 x) \log (25+x)) \log ^2(1-\log (25+x))} \, dx","Integrate[(-(E^E^x^(-1)*x^2) + E^E^x^(-1)*(-50*x - 2*x^2 + E^x^(-1)*(25 + x) + (E^x^(-1)*(-25 - x) + 50*x + 2*x^2)*Log[25 + x])*Log[1 - Log[25 + x]])/((-50 - 2*x + (50 + 2*x)*Log[25 + x])*Log[1 - Log[25 + x]]^2),x]","\frac{e^{e^{\frac{1}{x}}} x^2}{2 \log (1-\log (x+25))}","\frac{e^{e^{\frac{1}{x}}} x^2}{2 \log (1-\log (x+25))}",1,"(E^E^x^(-1)*x^2)/(2*Log[1 - Log[25 + x]])","A",1
7274,1,26,32,0.1664666,"\int \frac{-e^x x+\left(3-e^x\right) \log \left(\frac{-25-e^2}{-15+5 e^x}\right)}{3 x^2-e^x x^2+\left(-3 x+e^x x\right) \log \left(\frac{-25-e^2}{-15+5 e^x}\right)} \, dx","Integrate[(-(E^x*x) + (3 - E^x)*Log[(-25 - E^2)/(-15 + 5*E^x)])/(3*x^2 - E^x*x^2 + (-3*x + E^x*x)*Log[(-25 - E^2)/(-15 + 5*E^x)]),x]","\log \left(x-\log \left(\frac{25+e^2}{15-5 e^x}\right)\right)-\log (x)","\log \left(1-\frac{\log \left(\frac{\left(5+\frac{e^2}{5}\right) x}{3 x-e^x x}\right)}{x}\right)",1,"-Log[x] + Log[x - Log[(25 + E^2)/(15 - 5*E^x)]]","A",1
7275,1,43,29,1.0525033,"\int \frac{e^{1-x} \left(4+4 x+7 x^2-9 x^3-36 x^4+\left(-4 x^2+4 x^3+9 x^4-9 x^5\right) \log (3)\right)-36 e^{1-x} x^3 \log \left(4-9 x^2\right)+e^{1-x} \left(-4 x^2+9 x^4\right) \log ^2\left(4-9 x^2\right)}{-4 x^2+9 x^4} \, dx","Integrate[(E^(1 - x)*(4 + 4*x + 7*x^2 - 9*x^3 - 36*x^4 + (-4*x^2 + 4*x^3 + 9*x^4 - 9*x^5)*Log[3]) - 36*E^(1 - x)*x^3*Log[4 - 9*x^2] + E^(1 - x)*(-4*x^2 + 9*x^4)*Log[4 - 9*x^2]^2)/(-4*x^2 + 9*x^4),x]","-e^{1-x} \log ^2\left(4-9 x^2\right)-e^{-x} \left(-\frac{e}{x}-e x \log (3)-4 e\right)","e^{1-x} \left(-\log ^2\left(4-9 x^2\right)+\frac{1}{x}+x \log (3)+4\right)",1,"-((-4*E - E/x - E*x*Log[3])/E^x) - E^(1 - x)*Log[4 - 9*x^2]^2","A",1
7276,1,25,27,0.149824,"\int \frac{-6+4 x-24 x^2+16 x^3}{\left(-5+24 x-40 x^2+16 x^3+16 x^4\right) \log \left(\frac{5-14 x+12 x^2+8 x^3}{1-4 x+4 x^2}\right)} \, dx","Integrate[(-6 + 4*x - 24*x^2 + 16*x^3)/((-5 + 24*x - 40*x^2 + 16*x^3 + 16*x^4)*Log[(5 - 14*x + 12*x^2 + 8*x^3)/(1 - 4*x + 4*x^2)]),x]","\log \left(\log \left(\frac{8 x^3+12 x^2-14 x+5}{(2 x-1)^2}\right)\right)","\log \left(\log \left(\frac{x}{\left(2 \left(\frac{1}{4}-x\right)+x\right)^2}+2 x+5\right)\right)+e^2+1",1,"Log[Log[(5 - 14*x + 12*x^2 + 8*x^3)/(-1 + 2*x)^2]]","A",1
7277,1,25,21,0.0283471,"\int \frac{e^{8-4 x} \left(2 e^{-8+4 x} x^4+e^4 \left(-15-20 x-24 x^4\right)\right)}{2 x^4} \, dx","Integrate[(E^(8 - 4*x)*(2*E^(-8 + 4*x)*x^4 + E^4*(-15 - 20*x - 24*x^4)))/(2*x^4),x]","\frac{5 e^{12-4 x}}{2 x^3}+x+3 e^{12-4 x}","e^{4-4 (x-2)} \left(\frac{5}{2 x^3}+3\right)+x",1,"3*E^(12 - 4*x) + (5*E^(12 - 4*x))/(2*x^3) + x","A",1
7278,1,30,18,0.1392047,"\int \frac{-1250-1250 e^x}{e^{3+2 x}+625 x+e^3 x^2+e^x \left(625+2 e^3 x\right)} \, dx","Integrate[(-1250 - 1250*E^x)/(E^(3 + 2*x) + 625*x + E^3*x^2 + E^x*(625 + 2*E^3*x)),x]","-1250 \left(\frac{1}{625} \log \left(x+e^x\right)-\frac{1}{625} \log \left(e^3 x+e^{x+3}+625\right)\right)","\log \left(\left(\frac{625}{x+e^x}+e^3\right)^2\right)+2",1,"-1250*(Log[E^x + x]/625 - Log[625 + E^(3 + x) + E^3*x]/625)","A",1
7279,1,35,28,0.2252301,"\int \frac{\exp \left(-7-3 x-2 e^{3+x} x-2 x^2+\left(2 x+e^{3+x} x+x^2\right) \log (\log (\log (x)))\right) \left(2+e^{3+x}+x+\left(-3+e^{3+x} (-2-2 x)-4 x\right) \log (x) \log (\log (x))+\left(2+2 x+e^{3+x} (1+x)\right) \log (x) \log (\log (x)) \log (\log (\log (x)))\right)}{\log (x) \log (\log (x))} \, dx","Integrate[(E^(-7 - 3*x - 2*E^(3 + x)*x - 2*x^2 + (2*x + E^(3 + x)*x + x^2)*Log[Log[Log[x]]])*(2 + E^(3 + x) + x + (-3 + E^(3 + x)*(-2 - 2*x) - 4*x)*Log[x]*Log[Log[x]] + (2 + 2*x + E^(3 + x)*(1 + x))*Log[x]*Log[Log[x]]*Log[Log[Log[x]]]))/(Log[x]*Log[Log[x]]),x]","e^{-2 x^2-2 e^{x+3} x-3 x-7} \log ^{x \left(x+e^{x+3}+2\right)}(\log (x))","\exp \left(x-\left(\left(x+e^{x+3}\right) x+2 x\right) (2-\log (\log (\log (x))))-7\right)",1,"E^(-7 - 3*x - 2*E^(3 + x)*x - 2*x^2)*Log[Log[x]]^(x*(2 + E^(3 + x) + x))","A",1
7280,1,113,34,0.0957509,"\int \frac{135-72 x+90 x^2-12 x^3-x^4+4 x^6+e^{2 e^2} \left(15-3 x^2\right)+e^{2 x} \left(15-6 x-3 x^2+2 x^3\right)+e^x \left(-90+42 x-24 x^2+2 x^3+6 x^4-4 x^5\right)+e^{e^2} \left(-90+24 x-18 x^2-4 x^3+4 x^4+e^x \left(30-6 x-6 x^2+2 x^3\right)\right)}{x^6} \, dx","Integrate[(135 - 72*x + 90*x^2 - 12*x^3 - x^4 + 4*x^6 + E^(2*E^2)*(15 - 3*x^2) + E^(2*x)*(15 - 6*x - 3*x^2 + 2*x^3) + E^x*(-90 + 42*x - 24*x^2 + 2*x^3 + 6*x^4 - 4*x^5) + E^E^2*(-90 + 24*x - 18*x^2 - 4*x^3 + 4*x^4 + E^x*(30 - 6*x - 6*x^2 + 2*x^3)))/x^6,x]","\frac{4 x^6+x^4+6 x^3-30 x^2+e^{2 x} \left(x^2-3\right)+2 e^{x+e^2} \left(x^2-3\right)+e^{2 e^2} \left(x^2-3\right)+2 e^x \left(-2 x^4+x^3+3 x^2-3 x+9\right)+2 e^{e^2} \left(-2 x^4+x^3+3 x^2-3 x+9\right)+18 x-27}{x^5}","\left(-\frac{-x-e^x-e^{e^2}+3}{x^2}-2\right)^2 \left(x-\frac{3}{x}\right)",1,"(-27 + 18*x - 30*x^2 + 6*x^3 + x^4 + 4*x^6 + E^(2*E^2)*(-3 + x^2) + E^(2*x)*(-3 + x^2) + 2*E^(E^2 + x)*(-3 + x^2) + 2*E^E^2*(9 - 3*x + 3*x^2 + x^3 - 2*x^4) + 2*E^x*(9 - 3*x + 3*x^2 + x^3 - 2*x^4))/x^5","B",1
7281,1,21,28,0.0038497,"\int \frac{-25+84 x^2+64 x^4+\frac{64 x^3 \left(-25-16 x^2\right)}{25 e^4}}{50 x^2+32 x^4} \, dx","Integrate[(-25 + 84*x^2 + 64*x^4 + (64*x^3*(-25 - 16*x^2))/(25*E^4))/(50*x^2 + 32*x^4),x]","-\frac{16 x^2}{25 e^4}+2 x+\frac{1}{2 x}","\frac{-\frac{16 x^2}{25}-1}{e^4}+\frac{(2 x-1)^2}{2 x}",1,"1/(2*x) + 2*x - (16*x^2)/(25*E^4)","A",1
7282,1,28,22,0.0240896,"\int \frac{-2592 x^2+144 x^3+576 x^5+e^4 \left(-18+4 x^3\right)+e^2 \left(432 x-96 x^4\right)}{3 e^4 x^3-72 e^2 x^4+432 x^5} \, dx","Integrate[(-2592*x^2 + 144*x^3 + 576*x^5 + E^4*(-18 + 4*x^3) + E^2*(432*x - 96*x^4))/(3*E^4*x^3 - 72*E^2*x^4 + 432*x^5),x]","\frac{2}{3} \left(\frac{9}{2 x^2}+2 x-\frac{6}{12 x-e^2}\right)","\frac{3}{x^2}+\frac{4 x}{3}+\frac{4}{e^2-12 x}",1,"(2*(9/(2*x^2) + 2*x - 6/(-E^2 + 12*x)))/3","A",1
7283,1,25,24,0.2273348,"\int \frac{e^{2 x^2} \left(4000-8000 x^2\right)+e^{x^2} \left(2050 x-4100 x^3\right)}{125 e^{3 x^2}+75 e^{2 x^2} x+15 e^{x^2} x^2+x^3} \, dx","Integrate[(E^(2*x^2)*(4000 - 8000*x^2) + E^x^2*(2050*x - 4100*x^3))/(125*E^(3*x^2) + 75*E^(2*x^2)*x + 15*E^x^2*x^2 + x^3),x]","\frac{5 x \left(160 e^{x^2}+57 x\right)}{\left(5 e^{x^2}+x\right)^2}","\frac{1}{5} \left(\frac{5 x}{e^{x^2}+\frac{x}{5}}+16\right)^2",1,"(5*x*(160*E^x^2 + 57*x))/(5*E^x^2 + x)^2","A",1
7284,1,46,19,0.0738532,"\int \frac{-25600000000-61440000000 x-64511808000 x^2-38707027200 x^3-14515148160 x^4-3483642816 x^5-522547200 x^6-44789760 x^7-1679616 x^8+\left(25600000000+61440000000 x+64512000000 x^2+38707200000 x^3+14515200000 x^4+3483648000 x^5+522547200 x^6+44789760 x^7+1679616 x^8\right) \log (3)}{25600000000+61439680000 x+64511616001 x^2+38707027200 x^3+14515165440 x^4+3483645408 x^5+522547200 x^6+44789760 x^7+1679616 x^8+\left(-51200000000-122879680000 x-129023616000 x^2-77414227200 x^3-29030365440 x^4-6967293408 x^5-1045094400 x^6-89579520 x^7-3359232 x^8\right) \log (3)+\left(25600000000+61440000000 x+64512000000 x^2+38707200000 x^3+14515200000 x^4+3483648000 x^5+522547200 x^6+44789760 x^7+1679616 x^8\right) \log ^2(3)} \, dx","Integrate[(-25600000000 - 61440000000*x - 64511808000*x^2 - 38707027200*x^3 - 14515148160*x^4 - 3483642816*x^5 - 522547200*x^6 - 44789760*x^7 - 1679616*x^8 + (25600000000 + 61440000000*x + 64512000000*x^2 + 38707200000*x^3 + 14515200000*x^4 + 3483648000*x^5 + 522547200*x^6 + 44789760*x^7 + 1679616*x^8)*Log[3])/(25600000000 + 61439680000*x + 64511616001*x^2 + 38707027200*x^3 + 14515165440*x^4 + 3483645408*x^5 + 522547200*x^6 + 44789760*x^7 + 1679616*x^8 + (-51200000000 - 122879680000*x - 129023616000*x^2 - 77414227200*x^3 - 29030365440*x^4 - 6967293408*x^5 - 1045094400*x^6 - 89579520*x^7 - 3359232*x^8)*Log[3] + (25600000000 + 61440000000*x + 64512000000*x^2 + 38707200000*x^3 + 14515200000*x^4 + 3483648000*x^5 + 522547200*x^6 + 44789760*x^7 + 1679616*x^8)*Log[3]^2),x]","\frac{-\frac{9 x^2}{-48 (3 x+10)^4+3 x+48 (3 x+10)^4 \log (3)}+3 x+10}{3 (\log (3)-1)}","\frac{x}{\frac{x}{(x+5 (x+4))^4}-1+\log (3)}",1,"(10 + 3*x - (9*x^2)/(3*x - 48*(10 + 3*x)^4 + 48*(10 + 3*x)^4*Log[3]))/(3*(-1 + Log[3]))","B",1
7285,1,25,24,0.4182591,"\int \frac{e^{-x} \left(e^x+e^{e^{-x} \left(e^{15} x^2+e^{15+x} x^2\right)} \left(2 e^{15+x} x^3+e^{15} \left(2 x^3-x^4\right)\right)-e^x \log (x)\right)}{x^2} \, dx","Integrate[(E^x + E^((E^15*x^2 + E^(15 + x)*x^2)/E^x)*(2*E^(15 + x)*x^3 + E^15*(2*x^3 - x^4)) - E^x*Log[x])/(E^x*x^2),x]","e^{e^{15-x} \left(e^x+1\right) x^2}+\frac{\log (x)}{x}","e^{e^{15} x \left(e^{-x} x+x\right)}+\frac{\log (x)}{x}-1",1,"E^(E^(15 - x)*(1 + E^x)*x^2) + Log[x]/x","A",1
7286,1,38,22,1.2596963,"\int \frac{e^{\frac{8+12 x+12 \log (x)}{-3 x^2+3 x \log (3)}} \left(4 x+12 x^2+4 \log (3)+(24 x-12 \log (3)) \log (x)\right)}{3 x^4-6 x^3 \log (3)+3 x^2 \log ^2(3)} \, dx","Integrate[(E^((8 + 12*x + 12*Log[x])/(-3*x^2 + 3*x*Log[3]))*(4*x + 12*x^2 + 4*Log[3] + (24*x - 12*Log[3])*Log[x]))/(3*x^4 - 6*x^3*Log[3] + 3*x^2*Log[3]^2),x]","e^{-\frac{12 x+8}{3 x^2-x \log (27)}} x^{-\frac{4}{x^2-x \log (3)}}","e^{\frac{4 \left(x+\log (x)+\frac{2}{3}\right)}{x (\log (3)-x)}}",1,"1/(E^((8 + 12*x)/(3*x^2 - x*Log[27]))*x^(4/(x^2 - x*Log[3])))","A",0
7287,1,22,27,1.0627029,"\int \frac{-400 x+\left(-2800+e^5 (1200-300 x)+700 x\right) \log (-4+x)+(-1600+400 x) \log (-4+x) \log (\log (-4+x))}{\left(-4900-5495 x-624 x^2+576 x^3+e^{10} (-900+225 x)+e^5 \left(4200+1830 x-720 x^2\right)\right) \log (-4+x)+\left(-5600+e^5 (2400-600 x)-2440 x+960 x^2\right) \log (-4+x) \log (\log (-4+x))+(-1600+400 x) \log (-4+x) \log ^2(\log (-4+x))} \, dx","Integrate[(-400*x + (-2800 + E^5*(1200 - 300*x) + 700*x)*Log[-4 + x] + (-1600 + 400*x)*Log[-4 + x]*Log[Log[-4 + x]])/((-4900 - 5495*x - 624*x^2 + 576*x^3 + E^10*(-900 + 225*x) + E^5*(4200 + 1830*x - 720*x^2))*Log[-4 + x] + (-5600 + E^5*(2400 - 600*x) - 2440*x + 960*x^2)*Log[-4 + x]*Log[Log[-4 + x]] + (-1600 + 400*x)*Log[-4 + x]*Log[Log[-4 + x]]^2),x]","\frac{100 x}{120 x+100 \log (\log (x-4))-75 e^5+175}","\frac{x}{\frac{6 x}{5}+\log (\log (x-4))+\frac{3}{4} \left(1-e^5\right)+1}",1,"(100*x)/(175 - 75*E^5 + 120*x + 100*Log[Log[-4 + x]])","A",1
7288,1,32,17,0.0191465,"\int \left(150+300 x+225 x^2+e^{3 x^2} \left(75+900 x+450 x^2\right)\right) \, dx","Integrate[150 + 300*x + 225*x^2 + E^(3*x^2)*(75 + 900*x + 450*x^2),x]","75 \left(x^3+2 x^2+e^{3 x^2} x+2 e^{3 x^2}+2 x\right)","75 (x+2) \left(x^2+e^{3 x^2}+2\right)",1,"75*(2*E^(3*x^2) + 2*x + E^(3*x^2)*x + 2*x^2 + x^3)","A",1
7289,1,22,30,0.0405659,"\int \frac{-1+\log (x)+\left(-1+e^{\frac{1}{4} (1+8 x)} (-1-2 x)\right) \log ^2(x)}{\log ^2(x)} \, dx","Integrate[(-1 + Log[x] + (-1 + E^((1 + 8*x)/4)*(-1 - 2*x))*Log[x]^2)/Log[x]^2,x]","-e^{2 x+\frac{1}{4}} x-x+\frac{x}{\log (x)}","x \left(\frac{-x+\frac{x}{\log (x)}+\log (4)}{x}-e^{2 x+\frac{1}{4}}\right)",1,"-x - E^(1/4 + 2*x)*x + x/Log[x]","A",1
7290,1,21,27,0.2814939,"\int e^{5+3 e^{-e^4+x} x-4 x^2} \left(-8 x+e^{-e^4+x} (3+3 x)\right) \, dx","Integrate[E^(5 + 3*E^(-E^4 + x)*x - 4*x^2)*(-8*x + E^(-E^4 + x)*(3 + 3*x)),x]","e^{-4 x^2+3 e^{x-e^4} x+5}","e^{-x^2-3 \left(x-e^{x-e^4}\right) x+5}-5",1,"E^(5 + 3*E^(-E^4 + x)*x - 4*x^2)","A",1
7291,1,49,32,0.121837,"\int \frac{16 x+4 e^4 x+16 x^2+x^3+e^{2 x-2 e^2 x} (16+x)+e^{x-e^2 x} \left(-52 x+2 x^2+e^4 \left(-4 x+4 e^2 x\right)+e^2 \left(16 x-4 x^2\right)\right)}{e^{2 x-2 e^2 x} x-2 e^{x-e^2 x} x^2+x^3} \, dx","Integrate[(16*x + 4*E^4*x + 16*x^2 + x^3 + E^(2*x - 2*E^2*x)*(16 + x) + E^(x - E^2*x)*(-52*x + 2*x^2 + E^4*(-4*x + 4*E^2*x) + E^2*(16*x - 4*x^2)))/(E^(2*x - 2*E^2*x)*x - 2*E^(x - E^2*x)*x^2 + x^3),x]","x+\frac{4 e^x \left(x-e^4-4\right)}{\left(e^{e^2 x} x-e^x\right) x}-\frac{4 \left(4+e^4\right)}{x}+16 \log (x)","-\frac{4 \left(-x+e^4+4\right)}{x-e^{x-e^2 x}}+x+16 \log (x)",1,"(-4*(4 + E^4))/x + x + (4*E^x*(-4 - E^4 + x))/(x*(-E^x + E^(E^2*x)*x)) + 16*Log[x]","A",1
7292,1,18,18,0.1357906,"\int \frac{e^{2 e^{x^2}} \left(-2+2 x-4 e^{x^2} x^3+4 e^{x^2} x^2 \log (x)\right)}{-x^4+3 x^3 \log (x)-3 x^2 \log ^2(x)+x \log ^3(x)} \, dx","Integrate[(E^(2*E^x^2)*(-2 + 2*x - 4*E^x^2*x^3 + 4*E^x^2*x^2*Log[x]))/(-x^4 + 3*x^3*Log[x] - 3*x^2*Log[x]^2 + x*Log[x]^3),x]","\frac{e^{2 e^{x^2}}}{(x-\log (x))^2}","\frac{e^{2 e^{x^2}}}{(\log (x)-x)^2}",1,"E^(2*E^x^2)/(x - Log[x])^2","A",1
7293,1,39,26,0.0314956,"\int \frac{-27 x^5-27 x^6+45 x^7-17 x^8+2 x^9+e^2 \left(48+48 x-16 x^2-16 x^3\right)+e \left(36 x^3-36 x^4-4 x^5+4 x^6\right)}{-27 x^5+27 x^6-9 x^7+x^8} \, dx","Integrate[(-27*x^5 - 27*x^6 + 45*x^7 - 17*x^8 + 2*x^9 + E^2*(48 + 48*x - 16*x^2 - 16*x^3) + E*(36*x^3 - 36*x^4 - 4*x^5 + 4*x^6))/(-27*x^5 + 27*x^6 - 9*x^7 + x^8),x]","\frac{(x+1) \left((x-3)^2 x^5-4 e (x-3) x^3+4 e^2 (x+1)\right)}{(x-3)^2 x^4}","\left(\frac{2 e}{x \left(x-\frac{4 x}{x+1}\right)}-x\right)^2+x",1,"((1 + x)*(-4*E*(-3 + x)*x^3 + (-3 + x)^2*x^5 + 4*E^2*(1 + x)))/((-3 + x)^2*x^4)","A",1
7294,1,59,22,0.0580779,"\int \frac{-16-8 \sqrt[4]{3}-16 e^2+8 x}{25+4 \sqrt{3}+16 e^4+e^2 (32-16 x)+\sqrt[4]{3} \left(16+16 e^2-8 x\right)-16 x+4 x^2} \, dx","Integrate[(-16 - 8*3^(1/4) - 16*E^2 + 8*x)/(25 + 4*Sqrt[3] + 16*E^4 + E^2*(32 - 16*x) + 3^(1/4)*(16 + 16*E^2 - 8*x) - 16*x + 4*x^2),x]","\log \left(4 x^2-16 e^2 x-8 \sqrt[4]{3} x-16 x+16 e^4+16 \sqrt[4]{3} e^2+32 e^2+4 \sqrt{3}+16 \sqrt[4]{3}+25\right)","\log \left(4 \left(-x+2 e^2+\sqrt[4]{3}+2\right)^2+9\right)",1,"Log[25 + 16*3^(1/4) + 4*Sqrt[3] + 32*E^2 + 16*3^(1/4)*E^2 + 16*E^4 - 16*x - 8*3^(1/4)*x - 16*E^2*x + 4*x^2]","B",1
7295,1,42,18,0.099587,"\int -\frac{3 e^{\frac{6+8 x-x \log \left(\frac{9}{4}\right)}{3+4 x}} \log \left(\frac{9}{4}\right)}{9+24 x+16 x^2} \, dx","Integrate[(-3*E^((6 + 8*x - x*Log[9/4])/(3 + 4*x))*Log[9/4])/(9 + 24*x + 16*x^2),x]","\frac{e^2 2^{-\frac{2 x+3}{4 x+3}} 9^{-\frac{x}{4 x+3}} \log \left(\frac{9}{4}\right)}{\log \left(\frac{3}{2}\right)}","e^{2-\frac{x \log \left(\frac{9}{4}\right)}{4 x+3}}",1,"(E^2*Log[9/4])/(2^((3 + 2*x)/(3 + 4*x))*9^(x/(3 + 4*x))*Log[3/2])","B",1
7296,1,41,24,0.3058722,"\int \frac{-11+e^{x^2} \left(1+4 x^2\right)}{11 x-10648 x^2-264 e^{2 x^2} x^2+8 e^{3 x^2} x^2+e^{x^2} \left(-x+2904 x^2\right)} \, dx","Integrate[(-11 + E^x^2*(1 + 4*x^2))/(11*x - 10648*x^2 - 264*E^(2*x^2)*x^2 + 8*E^(3*x^2)*x^2 + E^x^2*(-x + 2904*x^2)),x]","-2 \log \left(11-e^{x^2}\right)+\log \left(176 e^{x^2} x-8 e^{2 x^2} x-968 x+1\right)-\log (x)","\log \left(\frac{\frac{1}{8 \left(e^{x^2}-11\right)^2}-x}{x}\right)+1",1,"-2*Log[11 - E^x^2] - Log[x] + Log[1 - 968*x + 176*E^x^2*x - 8*E^(2*x^2)*x]","A",1
7297,1,40,24,0.0162584,"\int \frac{64+e^2 (40-40 x)-64 x+56 x^2}{64+25 e^4+e^2 (80-140 x)-224 x+196 x^2} \, dx","Integrate[(64 + E^2*(40 - 40*x) - 64*x + 56*x^2)/(64 + 25*E^4 + E^2*(80 - 140*x) - 224*x + 196*x^2),x]","-\frac{2 \left(98 x^2-112 x+e^2 (10-70 x)+25 e^4-48\right)}{49 \left(-14 x+5 e^2+8\right)}","\frac{x}{1-\frac{5 \left(e^2-2 x\right)}{2 (2 x-4)}}",1,"(-2*(-48 + 25*E^4 + E^2*(10 - 70*x) - 112*x + 98*x^2))/(49*(8 + 5*E^2 - 14*x))","A",1
7298,1,16,22,0.0168862,"\int \frac{1+(-3+2 x) \log \left(3 e^2\right)}{x+\left(-4-3 x+x^2\right) \log \left(3 e^2\right)} \, dx","Integrate[(1 + (-3 + 2*x)*Log[3*E^2])/(x + (-4 - 3*x + x^2)*Log[3*E^2]),x]","\log \left(\left(x^2-3 x-4\right) (2+\log (3))+x\right)","\log \left(-x^2+3 x-\frac{x}{\log \left(3 e^2\right)}+4\right)",1,"Log[x + (-4 - 3*x + x^2)*(2 + Log[3])]","A",1
7299,1,23,28,0.2291718,"\int \frac{2-e^9+x-x^2+\left(2 x-e^9 x\right) \log (x)}{-2 x+x^2+\left(-2 x+e^9 x\right) \log (x)} \, dx","Integrate[(2 - E^9 + x - x^2 + (2*x - E^9*x)*Log[x])/(-2*x + x^2 + (-2*x + E^9*x)*Log[x]),x]","-x-\log \left(-x-e^9 \log (x)+2 \log (x)+2\right)","-x+\log \left(\frac{1}{\log (2) \left(-x+\left(2-e^9\right) \log (x)+2\right)}\right)+5",1,"-x - Log[2 - x + 2*Log[x] - E^9*Log[x]]","A",1
7300,1,138,16,0.537393,"\int \frac{36+88 x^2+80 x^4+40 x^6+10 x^8+x^{10}+\left(80+160 x^2+120 x^4+40 x^6+5 x^8\right) \log (x)+\left(80+120 x^2+60 x^4+10 x^6\right) \log ^2(x)+\left(40+40 x^2+10 x^4\right) \log ^3(x)+\left(10+5 x^2\right) \log ^4(x)+\log ^5(x)}{-98 x-241 x^3-240 x^5-120 x^7-30 x^9-3 x^{11}+\left(-209 x-400 x^3-280 x^5-80 x^7-5 x^9+x^{11}\right) \log (x)+\left(-160 x-200 x^3-60 x^5+10 x^7+5 x^9\right) \log ^2(x)+\left(-40 x+30 x^5+10 x^7\right) \log ^3(x)+\left(10 x+25 x^3+10 x^5\right) \log ^4(x)+\left(7 x+5 x^3\right) \log ^5(x)+x \log ^6(x)} \, dx","Integrate[(36 + 88*x^2 + 80*x^4 + 40*x^6 + 10*x^8 + x^10 + (80 + 160*x^2 + 120*x^4 + 40*x^6 + 5*x^8)*Log[x] + (80 + 120*x^2 + 60*x^4 + 10*x^6)*Log[x]^2 + (40 + 40*x^2 + 10*x^4)*Log[x]^3 + (10 + 5*x^2)*Log[x]^4 + Log[x]^5)/(-98*x - 241*x^3 - 240*x^5 - 120*x^7 - 30*x^9 - 3*x^11 + (-209*x - 400*x^3 - 280*x^5 - 80*x^7 - 5*x^9 + x^11)*Log[x] + (-160*x - 200*x^3 - 60*x^5 + 10*x^7 + 5*x^9)*Log[x]^2 + (-40*x + 30*x^5 + 10*x^7)*Log[x]^3 + (10*x + 25*x^3 + 10*x^5)*Log[x]^4 + (7*x + 5*x^3)*Log[x]^5 + x*Log[x]^6),x]","\log \left(3 x^8+x^8 (-\log (x))+24 x^6-4 x^6 \log ^2(x)+4 x^6 \log (x)+72 x^4-6 x^4 \log ^3(x)-6 x^4 \log ^2(x)+48 x^4 \log (x)+96 x^2-4 x^2 \log ^4(x)-12 x^2 \log ^3(x)+24 x^2 \log ^2(x)+112 x^2 \log (x)-\log ^5(x)-5 \log ^4(x)+40 \log ^2(x)+80 \log (x)+49\right)-4 \log \left(x^2+\log (x)+2\right)","\log \left(\frac{1}{\left(x^2+\log (x)+2\right)^4}-\log (x)+3\right)",1,"-4*Log[2 + x^2 + Log[x]] + Log[49 + 96*x^2 + 72*x^4 + 24*x^6 + 3*x^8 + 80*Log[x] + 112*x^2*Log[x] + 48*x^4*Log[x] + 4*x^6*Log[x] - x^8*Log[x] + 40*Log[x]^2 + 24*x^2*Log[x]^2 - 6*x^4*Log[x]^2 - 4*x^6*Log[x]^2 - 12*x^2*Log[x]^3 - 6*x^4*Log[x]^3 - 5*Log[x]^4 - 4*x^2*Log[x]^4 - Log[x]^5]","B",1
7301,1,14,21,0.0043155,"\int \frac{60-3 x \log ^2(4 x)}{20 x \log ^2(4 x)} \, dx","Integrate[(60 - 3*x*Log[4*x]^2)/(20*x*Log[4*x]^2),x]","-\frac{3 x}{20}-\frac{3}{\log (4 x)}","-\frac{3}{4} \left(\frac{x}{5}+\frac{4}{\log (4 x)}+e\right)-5",1,"(-3*x)/20 - 3/Log[4*x]","A",1
7302,1,17,17,0.0075844,"\int \frac{1}{16} e^{\frac{8 e^4-3 x}{4 e^4}} \left(4 e^4-3 x\right) \, dx","Integrate[(E^((8*E^4 - 3*x)/(4*E^4))*(4*E^4 - 3*x))/16,x]","\frac{1}{4} e^{6-\frac{3 x}{4 e^4}} x","\frac{1}{4} e^{6-\frac{3 x}{4 e^4}} x",1,"(E^(6 - (3*x)/(4*E^4))*x)/4","A",1
7303,1,24,26,1.2930279,"\int \frac{9-3 x-3 x^2+\left(-3 x-6 x^2\right) \log (x)+\left(144 x^2-96 x^3-80 x^4+32 x^5+16 x^6\right) \log ^2(x)}{\left(180 x-120 x^2-100 x^3+40 x^4+20 x^5\right) \log ^2(x)} \, dx","Integrate[(9 - 3*x - 3*x^2 + (-3*x - 6*x^2)*Log[x] + (144*x^2 - 96*x^3 - 80*x^4 + 32*x^5 + 16*x^6)*Log[x]^2)/((180*x - 120*x^2 - 100*x^3 + 40*x^4 + 20*x^5)*Log[x]^2),x]","\frac{1}{20} \left(8 x^2+\frac{3}{\left(x^2+x-3\right) \log (x)}\right)","\frac{2}{5} x \left(\frac{3}{8 \left(x^2+x-3\right) x \log (x)}+x\right)",1,"(8*x^2 + 3/((-3 + x + x^2)*Log[x]))/20","A",1
7304,1,11,12,0.0319481,"\int \frac{3 x^2+x^{\left.\frac{5}{3}\right/x} (5-5 \log (x))}{3 x^2} \, dx","Integrate[(3*x^2 + x^(5/(3*x))*(5 - 5*Log[x]))/(3*x^2),x]","x^{\left.\frac{5}{3}\right/x}+x","x^{\left.\frac{5}{3}\right/x}+x-2",1,"x + x^(5/(3*x))","A",1
7305,1,19,20,0.1022812,"\int e^{-e^x} \left(5 e^{21} x^4-e^{21+x} x^5+e^{e^x} \left(-4 x^3+10 x^4\right)\right) \, dx","Integrate[(5*E^21*x^4 - E^(21 + x)*x^5 + E^E^x*(-4*x^3 + 10*x^4))/E^E^x,x]","x^4 \left(\left(e^{21-e^x}+2\right) x-1\right)","x^4 \left(e^{21-e^x} x+2 x-1\right)",1,"x^4*(-1 + (2 + E^(21 - E^x))*x)","A",1
7306,1,64,27,0.5943386,"\int \frac{4-12 x-15 x^2-4 x^3+e^3 \left(-4-4 x-x^2\right)+\left(-20 x-18 x^2-4 x^3\right) \log \left(\frac{2}{x}\right)+\left(-4 x-2 x^2-4 x \log \left(\frac{2}{x}\right)\right) \log (x)}{4 x-28 x^2+33 x^3+56 x^4+16 x^5+e^6 \left(4 x+4 x^2+x^3\right)+e^3 \left(-8 x+24 x^2+30 x^3+8 x^4\right)+\left(-8 x^2+28 x^3+16 x^4+e^3 \left(8 x^2+4 x^3\right)\right) \log (x)+4 x^3 \log ^2(x)} \, dx","Integrate[(4 - 12*x - 15*x^2 - 4*x^3 + E^3*(-4 - 4*x - x^2) + (-20*x - 18*x^2 - 4*x^3)*Log[2/x] + (-4*x - 2*x^2 - 4*x*Log[2/x])*Log[x])/(4*x - 28*x^2 + 33*x^3 + 56*x^4 + 16*x^5 + E^6*(4*x + 4*x^2 + x^3) + E^3*(-8*x + 24*x^2 + 30*x^3 + 8*x^4) + (-8*x^2 + 28*x^3 + 16*x^4 + E^3*(8*x^2 + 4*x^3))*Log[x] + 4*x^3*Log[x]^2),x]","\frac{4 x^2+e^3 x+7 x+2 x \log (x)+2 (x+2) \log \left(\frac{2}{x}\right)+2 e^3-2}{2 \left(4 x^2+7 x+e^3 (x+2)+2 x \log (x)-2\right)}","\frac{\log \left(\frac{2}{x}\right)}{2 x \left(\frac{\log (x)}{x+2}+2\right)+e^3-1}",1,"(-2 + 2*E^3 + 7*x + E^3*x + 4*x^2 + 2*(2 + x)*Log[2/x] + 2*x*Log[x])/(2*(-2 + 7*x + 4*x^2 + E^3*(2 + x) + 2*x*Log[x]))","B",1
7307,1,35,28,0.3343775,"\int \frac{25 x^2-6 e^x x^3+e^{2 x^2} \left(25-5 e^x x\right)+e^{x^2} \left(-50 x+e^x \left(x+11 x^2-2 x^3\right)\right)}{25 e^{2 x^2} x-50 e^{x^2} x^2+25 x^3} \, dx","Integrate[(25*x^2 - 6*E^x*x^3 + E^(2*x^2)*(25 - 5*E^x*x) + E^x^2*(-50*x + E^x*(x + 11*x^2 - 2*x^3)))/(25*E^(2*x^2)*x - 50*E^x^2*x^2 + 25*x^3),x]","\frac{1}{25} \left(\frac{e^x \left(6 x-5 e^{x^2}\right)}{e^{x^2}-x}+25 \log (x)\right)","-\frac{1}{25} e^x \left(\frac{x}{x-e^{x^2}}+5\right)+\log (x)+\frac{5}{2}",1,"((E^x*(-5*E^x^2 + 6*x))/(E^x^2 - x) + 25*Log[x])/25","A",1
7308,1,33,30,0.3526931,"\int \frac{e^x (130+80 x)+e^x \left(50 x^2+80 x^3+e^5 \left(169 x^2+208 x^3+64 x^4\right)\right) \log (x)+e^x \left(-130-30 x+80 x^2\right) \log (x) \log (\log (x))}{\left(169 x^2+208 x^3+64 x^4\right) \log (x)} \, dx","Integrate[(E^x*(130 + 80*x) + E^x*(50*x^2 + 80*x^3 + E^5*(169*x^2 + 208*x^3 + 64*x^4))*Log[x] + E^x*(-130 - 30*x + 80*x^2)*Log[x]*Log[Log[x]])/((169*x^2 + 208*x^3 + 64*x^4)*Log[x]),x]","\frac{e^x \left(x \left(e^5 (8 x+13)+10\right)+10 \log (\log (x))\right)}{x (8 x+13)}","e^x \left(\frac{x+\log (\log (x))}{\frac{4}{5} (x+1) x+\frac{x}{2}}+e^5\right)",1,"(E^x*(x*(10 + E^5*(13 + 8*x)) + 10*Log[Log[x]]))/(x*(13 + 8*x))","A",1
7309,1,12,18,0.0028072,"\int \left(81+e^x+40 x\right) \, dx","Integrate[81 + E^x + 40*x,x]","20 x^2+81 x+e^x","5 (2 x+4)^2+e^x+x+e^4-8",1,"E^x + 81*x + 20*x^2","A",1
7310,1,53,21,1.6485939,"\int \frac{-108+144 x^3+2 x^6+e^{-1+x} \left(-54+72 x^3+x^6\right)+\left(e^{-1+x} \left(9 x-24 x^4+16 x^7\right)+e^{-1+x} x^7 \log (x)\right) \log \left(\frac{9-24 x^3+16 x^6+x^6 \log (x)}{x^6}\right)}{9 x-24 x^4+16 x^7+x^7 \log (x)} \, dx","Integrate[(-108 + 144*x^3 + 2*x^6 + E^(-1 + x)*(-54 + 72*x^3 + x^6) + (E^(-1 + x)*(9*x - 24*x^4 + 16*x^7) + E^(-1 + x)*x^7*Log[x])*Log[(9 - 24*x^3 + 16*x^6 + x^6*Log[x])/x^6])/(9*x - 24*x^4 + 16*x^7 + x^7*Log[x]),x]","\frac{e^x \log \left(\frac{\left(3-4 x^3\right)^2}{x^6}+\log (x)\right)+2 e \log \left(16 x^6+x^6 \log (x)-24 x^3+9\right)-12 e \log (x)}{e}","\left(e^{x-1}+2\right) \log \left(\left(4-\frac{3}{x^3}\right)^2+\log (x)\right)",1,"(-12*E*Log[x] + E^x*Log[(3 - 4*x^3)^2/x^6 + Log[x]] + 2*E*Log[9 - 24*x^3 + 16*x^6 + x^6*Log[x]])/E","B",1
7311,1,22,27,0.0114586,"\int e^{-x} \left(1+e^x \left(-4-4 e^4 x^3+5 x^4\right)\right) \, dx","Integrate[(1 + E^x*(-4 - 4*E^4*x^3 + 5*x^4))/E^x,x]","x^5-e^4 x^4-4 x-e^{-x}","\left(\frac{e^4}{x}-1\right) x \left(4-x^4\right)-e^{-x}+3",1,"-E^(-x) - 4*x - E^4*x^4 + x^5","A",1
7312,1,28,28,0.133995,"\int \frac{5 e^{2 x/5} x^2 \log (16)+(-60+15 x) \log (16)+e^{2 x/5} \left(-8 x^2+2 x^3\right) \log (16) \log (4-x)+(20-5 x) \log (16) \log \left(2 x^3\right)}{-20 x^2+5 x^3} \, dx","Integrate[(5*E^((2*x)/5)*x^2*Log[16] + (-60 + 15*x)*Log[16] + E^((2*x)/5)*(-8*x^2 + 2*x^3)*Log[16]*Log[4 - x] + (20 - 5*x)*Log[16]*Log[2*x^3])/(-20*x^2 + 5*x^3),x]","\frac{\log (16) \left(\log \left(2 x^3\right)+e^{2 x/5} x \log (4-x)\right)}{x}","\log (16) \left(\frac{\log \left(2 x^3\right)}{x}+e^{2 x/5} \log (4-x)\right)",1,"(Log[16]*(E^((2*x)/5)*x*Log[4 - x] + Log[2*x^3]))/x","A",1
7313,1,20,24,0.4528618,"\int \frac{e^{\frac{20+5 x+x \log (x)+5 \log ^2(x)}{4+x+\log ^2(x)}} \left(-128-56 x-6 x^2+8 x \log (x)+(-64-18 x) \log ^2(x)+2 x \log ^3(x)-8 \log ^4(x)\right)}{16 x^5+8 x^6+x^7+\left(8 x^5+2 x^6\right) \log ^2(x)+x^5 \log ^4(x)} \, dx","Integrate[(E^((20 + 5*x + x*Log[x] + 5*Log[x]^2)/(4 + x + Log[x]^2))*(-128 - 56*x - 6*x^2 + 8*x*Log[x] + (-64 - 18*x)*Log[x]^2 + 2*x*Log[x]^3 - 8*Log[x]^4))/(16*x^5 + 8*x^6 + x^7 + (8*x^5 + 2*x^6)*Log[x]^2 + x^5*Log[x]^4),x]","2 e^5 x^{\frac{x}{x+\log ^2(x)+4}-4}","\frac{2 e^{\frac{x}{\frac{x+4}{\log (x)}+\log (x)}+5}}{x^4}",1,"2*E^5*x^(-4 + x/(4 + x + Log[x]^2))","A",1
7314,1,21,20,0.0589461,"\int \frac{1}{4} e^{\frac{1}{12} \left(-11-9 x-900 x^2-300 x^3\right)} \left(-3-600 x-300 x^2\right) \, dx","Integrate[(E^((-11 - 9*x - 900*x^2 - 300*x^3)/12)*(-3 - 600*x - 300*x^2))/4,x]","e^{-25 x^3-75 x^2-\frac{3 x}{4}-\frac{11}{12}}","e^{\frac{4}{3}-\frac{1}{4} (x+3) \left(100 x^2+3\right)}",1,"E^(-11/12 - (3*x)/4 - 75*x^2 - 25*x^3)","A",1
7315,1,33,31,0.1661991,"\int \frac{e^{x+x^2} \left(6 x+3 x^2+7 x^3+x^4-x^5-2 x^6+e^4 \left(-6 x-3 x^2-6 x^3-x^4+x^5+2 x^6\right)\right)+e^{x+x^2} \left(-6 x-3 x^2-6 x^3-x^4+x^5+2 x^6\right) \log (x)+\left(e^{x+x^2} \left(x^4+2 x^5+e^4 \left(-x^4-2 x^5\right)\right)+e^{x+x^2} \left(-x^4-2 x^5\right) \log (x)\right) \log \left(-1+e^4+\log (x)\right)}{-9+6 x^3-x^6+e^4 \left(9-6 x^3+x^6\right)+\left(9-6 x^3+x^6\right) \log (x)+\left(-6 x^2+2 x^5+e^4 \left(6 x^2-2 x^5\right)+\left(6 x^2-2 x^5\right) \log (x)\right) \log \left(-1+e^4+\log (x)\right)+\left(-x^4+e^4 x^4+x^4 \log (x)\right) \log ^2\left(-1+e^4+\log (x)\right)} \, dx","Integrate[(E^(x + x^2)*(6*x + 3*x^2 + 7*x^3 + x^4 - x^5 - 2*x^6 + E^4*(-6*x - 3*x^2 - 6*x^3 - x^4 + x^5 + 2*x^6)) + E^(x + x^2)*(-6*x - 3*x^2 - 6*x^3 - x^4 + x^5 + 2*x^6)*Log[x] + (E^(x + x^2)*(x^4 + 2*x^5 + E^4*(-x^4 - 2*x^5)) + E^(x + x^2)*(-x^4 - 2*x^5)*Log[x])*Log[-1 + E^4 + Log[x]])/(-9 + 6*x^3 - x^6 + E^4*(9 - 6*x^3 + x^6) + (9 - 6*x^3 + x^6)*Log[x] + (-6*x^2 + 2*x^5 + E^4*(6*x^2 - 2*x^5) + (6*x^2 - 2*x^5)*Log[x])*Log[-1 + E^4 + Log[x]] + (-x^4 + E^4*x^4 + x^4*Log[x])*Log[-1 + E^4 + Log[x]]^2),x]","-\frac{e^{x^2+x} x^2}{-x^3+x^2 \log \left(\log (x)+e^4-1\right)+3}","\frac{e^{x^2+x} x}{x \left(x-\log \left(\log (x)+e^4-1\right)\right)-\frac{3}{x}}",1,"-((E^(x + x^2)*x^2)/(3 - x^3 + x^2*Log[-1 + E^4 + Log[x]]))","A",1
7316,1,19,23,0.1092317,"\int \frac{4 x-8 x \log (x)+84 \log ^2(x)}{5 x^4+\left(10 x^2-210 x^3\right) \log (x)+\left(5-210 x+2205 x^2\right) \log ^2(x)} \, dx","Integrate[(4*x - 8*x*Log[x] + 84*Log[x]^2)/(5*x^4 + (10*x^2 - 210*x^3)*Log[x] + (5 - 210*x + 2205*x^2)*Log[x]^2),x]","\frac{4 \log (x)}{5 \left(x^2-21 x \log (x)+\log (x)\right)}","\frac{4 x}{5 \left(x \left(\frac{x^2}{\log (x)}-21 x\right)+x\right)}",1,"(4*Log[x])/(5*(x^2 + Log[x] - 21*x*Log[x]))","A",1
7317,1,24,31,0.176958,"\int \frac{-30+10 x+e^3 (-8+4 x)+(-40+20 x) \log (x)+\left(-5-2 e^3-10 \log (x)\right) \log \left(\frac{1}{10} \left(5+2 e^3+10 \log (x)\right)\right)}{5+2 e^3+10 \log (x)} \, dx","Integrate[(-30 + 10*x + E^3*(-8 + 4*x) + (-40 + 20*x)*Log[x] + (-5 - 2*E^3 - 10*Log[x])*Log[(5 + 2*E^3 + 10*Log[x])/10])/(5 + 2*E^3 + 10*Log[x]),x]","x^2-4 x-x \log \left(\log (x)+\frac{e^3}{5}+\frac{1}{2}\right)","x \left(x-\log \left(-x+\frac{1}{2} (2 x+3)+\log (x)+\frac{e^3}{5}-1\right)-4\right)",1,"-4*x + x^2 - x*Log[1/2 + E^3/5 + Log[x]]","A",1
7318,1,11,15,0.0025941,"\int \frac{-14-4 x}{4+7 x+x^2} \, dx","Integrate[(-14 - 4*x)/(4 + 7*x + x^2),x]","-2 \log \left(x^2+7 x+4\right)","2-2 \left(\log \left(x^2+7 x+4\right)+5\right)",1,"-2*Log[4 + 7*x + x^2]","A",1
7319,1,96,32,0.1362986,"\int \frac{-60000 x^3-50300 x^4+6904 x^5-292 x^6+4 x^7+e \left(-30000 x+32450 x^2-3748 x^3+150 x^4-2 x^5\right)+e^2 \left(-28800 x^3+3600 x^4-148 x^5+2 x^6\right)+\left(-62500 x^2-52500 x^3+7100 x^4-296 x^5+4 x^6+e \left(-31250+33750 x-3850 x^2+152 x^3-2 x^4\right)+e^2 \left(-30000 x^2+3700 x^3-150 x^4+2 x^5\right)\right) \log \left(\frac{e-e^2 x-2 x^2}{x}\right)}{-31250 x^3+3750 x^4-150 x^5+2 x^6+e \left(15625 x-1875 x^2+75 x^3-x^4\right)+e^2 \left(-15625 x^2+1875 x^3-75 x^4+x^5\right)} \, dx","Integrate[(-60000*x^3 - 50300*x^4 + 6904*x^5 - 292*x^6 + 4*x^7 + E*(-30000*x + 32450*x^2 - 3748*x^3 + 150*x^4 - 2*x^5) + E^2*(-28800*x^3 + 3600*x^4 - 148*x^5 + 2*x^6) + (-62500*x^2 - 52500*x^3 + 7100*x^4 - 296*x^5 + 4*x^6 + E*(-31250 + 33750*x - 3850*x^2 + 152*x^3 - 2*x^4) + E^2*(-30000*x^2 + 3700*x^3 - 150*x^4 + 2*x^5))*Log[(E - E^2*x - 2*x^2)/x])/(-31250*x^3 + 3750*x^4 - 150*x^5 + 2*x^6 + E*(15625*x - 1875*x^2 + 75*x^3 - x^4) + E^2*(-15625*x^2 + 1875*x^3 - 75*x^4 + x^5)),x]","2 \left(\frac{x^2}{2}+\frac{\left(x^2-25 x+25\right) \log \left(-2 x+\frac{e}{x}-e^2\right)}{x-25}+\log \left(2 x^2+e^2 x-e\right)+x+\frac{650}{x-25}+\frac{625}{2 (x-25)^2}+\frac{1}{2} \log ^2\left(-2 x+\frac{e}{x}-e^2\right)-\log (x)\right)","\left(\frac{x}{25-x}-x-\log \left(-2 x+\frac{e}{x}-e^2\right)\right)^2",1,"2*(625/(2*(-25 + x)^2) + 650/(-25 + x) + x + x^2/2 + ((25 - 25*x + x^2)*Log[-E^2 + E/x - 2*x])/(-25 + x) + Log[-E^2 + E/x - 2*x]^2/2 - Log[x] + Log[-E + E^2*x + 2*x^2])","B",1
7320,1,22,21,0.0975012,"\int \frac{-e^5 x+e^{\frac{17 e^5+e^{5+\log ^2(x)}+x \log (5)}{e^5}} \left(x \log (5)+2 e^{5+\log ^2(x)} \log (x)\right)}{e^5 x} \, dx","Integrate[(-(E^5*x) + E^((17*E^5 + E^(5 + Log[x]^2) + x*Log[5])/E^5)*(x*Log[5] + 2*E^(5 + Log[x]^2)*Log[x]))/(E^5*x),x]","5^{\frac{x}{e^5}} e^{e^{\log ^2(x)}+17}-x","e^{e^{\log ^2(x)}+\frac{x \log (5)}{e^5}+17}-x",1,"5^(x/E^5)*E^(17 + E^Log[x]^2) - x","A",1
7321,1,38,30,1.2500734,"\int \frac{e^2 \left(8-8 x+3750 x^2-400 x^3+10 x^4\right)-4 e^2 \log \left(\frac{3}{x}\right)}{4 x^2-8 x^3+2504 x^4-2700 x^5+390829 x^6-62504 x^7+3750 x^8-100 x^9+x^{10}+\left(-8 x^2+8 x^3-2500 x^4+200 x^5-4 x^6\right) \log \left(\frac{3}{x}\right)+4 x^2 \log ^2\left(\frac{3}{x}\right)} \, dx","Integrate[(E^2*(8 - 8*x + 3750*x^2 - 400*x^3 + 10*x^4) - 4*E^2*Log[3/x])/(4*x^2 - 8*x^3 + 2504*x^4 - 2700*x^5 + 390829*x^6 - 62504*x^7 + 3750*x^8 - 100*x^9 + x^10 + (-8*x^2 + 8*x^3 - 2500*x^4 + 200*x^5 - 4*x^6)*Log[3/x] + 4*x^2*Log[3/x]^2),x]","\frac{2 e^2}{x \left(-x^4+50 x^3-625 x^2+2 x+2 \log \left(\frac{3}{x}\right)-2\right)}","\frac{e^2}{x \left(-\frac{1}{2} (x-25)^2 x^2+x+\log \left(\frac{3}{x}\right)-1\right)}",1,"(2*E^2)/(x*(-2 + 2*x - 625*x^2 + 50*x^3 - x^4 + 2*Log[3/x]))","A",1
7322,1,21,20,0.0048514,"\int \left(3-2 x+15 x^2+e^{2 x} (1+2 x)\right) \, dx","Integrate[3 - 2*x + 15*x^2 + E^(2*x)*(1 + 2*x),x]","5 x^3-x^2+e^{2 x} x+3 x","x \left(5 x^2+e^{2 x}+3\right)-x^2",1,"3*x + E^(2*x)*x - x^2 + 5*x^3","A",1
7323,1,18,17,0.1657474,"\int \frac{2 e^x x^2+e \left(-1-2 x-2 x^2\right)+\left(-e x+e^x x\right) \log (x)}{2 x^2+x \log (x)} \, dx","Integrate[(2*E^x*x^2 + E*(-1 - 2*x - 2*x^2) + (-(E*x) + E^x*x)*Log[x])/(2*x^2 + x*Log[x]),x]","-e x+e^x-e \log (2 x+\log (x))","e^x-e (x+\log (2 x+\log (x)))-4",1,"E^x - E*x - E*Log[2*x + Log[x]]","A",1
7324,1,31,30,0.3072185,"\int \frac{\exp \left(\frac{\left(256-256 x+96 x^2-16 x^3+x^4\right) \log ^2\left(\frac{x}{5+x}\right)}{256+e^{4 x}+768 x+608 x^2-144 x^3-255 x^4+36 x^5+38 x^6-12 x^7+x^8+e^{3 x} \left(-16-12 x+4 x^2\right)+e^{2 x} \left(96+144 x+6 x^2-36 x^3+6 x^4\right)+e^x \left(-256-576 x-240 x^2+180 x^3+60 x^4-36 x^5+4 x^6\right)}\right) \left(\left(-10240+2560 x+6400 x^2-4800 x^3+1400 x^4-190 x^5+10 x^6+e^x \left(2560-2560 x+960 x^2-160 x^3+10 x^4\right)\right) \log \left(\frac{x}{5+x}\right)+\left(20480 x-21504 x^2+7680 x^3-640 x^4-240 x^5+60 x^6-4 x^7+e^x \left(-6400 x+4800 x^2-944 x^3-92 x^4+48 x^5-4 x^6\right)\right) \log ^2\left(\frac{x}{5+x}\right)\right)}{-5120 x-20224 x^2-26240 x^3-6880 x^4+9820 x^5+4445 x^6-2098 x^7-665 x^8+320 x^9-5 x^{10}-10 x^{11}+x^{12}+e^{5 x} \left(5 x+x^2\right)+e^{4 x} \left(-100 x-95 x^2+10 x^3+5 x^4\right)+e^{3 x} \left(800 x+1360 x^2+290 x^3-290 x^4-10 x^5+10 x^6\right)+e^{2 x} \left(-3200 x-7840 x^2-4440 x^3+1650 x^4+1200 x^5-300 x^6-40 x^7+10 x^8\right)+e^x \left(6400 x+20480 x^2+19040 x^3-560 x^4-7095 x^5-375 x^6+1130 x^7-110 x^8-35 x^9+5 x^{10}\right)} \, dx","Integrate[(E^(((256 - 256*x + 96*x^2 - 16*x^3 + x^4)*Log[x/(5 + x)]^2)/(256 + E^(4*x) + 768*x + 608*x^2 - 144*x^3 - 255*x^4 + 36*x^5 + 38*x^6 - 12*x^7 + x^8 + E^(3*x)*(-16 - 12*x + 4*x^2) + E^(2*x)*(96 + 144*x + 6*x^2 - 36*x^3 + 6*x^4) + E^x*(-256 - 576*x - 240*x^2 + 180*x^3 + 60*x^4 - 36*x^5 + 4*x^6)))*((-10240 + 2560*x + 6400*x^2 - 4800*x^3 + 1400*x^4 - 190*x^5 + 10*x^6 + E^x*(2560 - 2560*x + 960*x^2 - 160*x^3 + 10*x^4))*Log[x/(5 + x)] + (20480*x - 21504*x^2 + 7680*x^3 - 640*x^4 - 240*x^5 + 60*x^6 - 4*x^7 + E^x*(-6400*x + 4800*x^2 - 944*x^3 - 92*x^4 + 48*x^5 - 4*x^6))*Log[x/(5 + x)]^2))/(-5120*x - 20224*x^2 - 26240*x^3 - 6880*x^4 + 9820*x^5 + 4445*x^6 - 2098*x^7 - 665*x^8 + 320*x^9 - 5*x^10 - 10*x^11 + x^12 + E^(5*x)*(5*x + x^2) + E^(4*x)*(-100*x - 95*x^2 + 10*x^3 + 5*x^4) + E^(3*x)*(800*x + 1360*x^2 + 290*x^3 - 290*x^4 - 10*x^5 + 10*x^6) + E^(2*x)*(-3200*x - 7840*x^2 - 4440*x^3 + 1650*x^4 + 1200*x^5 - 300*x^6 - 40*x^7 + 10*x^8) + E^x*(6400*x + 20480*x^2 + 19040*x^3 - 560*x^4 - 7095*x^5 - 375*x^6 + 1130*x^7 - 110*x^8 - 35*x^9 + 5*x^10)),x]","\exp \left(\frac{(x-4)^4 \log ^2\left(\frac{x}{x+5}\right)}{\left(x^2-3 x+e^x-4\right)^4}\right)","e^{\frac{\log ^2\left(\frac{x}{x+5}\right)}{\left(x-\frac{e^x}{4-x}+1\right)^4}}",1,"E^(((-4 + x)^4*Log[x/(5 + x)]^2)/(-4 + E^x - 3*x + x^2)^4)","A",1
7325,1,21,24,0.1343259,"\int \frac{-e^5-x+e^{e^2} \left(2 e^5 x+2 x^2\right)+\left(-x+e^{e^2} x^2\right) \log \left(x-e^{e^2} x^2\right)}{\left(-e^5 x-x^2+e^{e^2} \left(e^5 x^2+x^3\right)\right) \log \left(x-e^{e^2} x^2\right)} \, dx","Integrate[(-E^5 - x + E^E^2*(2*E^5*x + 2*x^2) + (-x + E^E^2*x^2)*Log[x - E^E^2*x^2])/((-(E^5*x) - x^2 + E^E^2*(E^5*x^2 + x^3))*Log[x - E^E^2*x^2]),x]","\log \left(\log \left(x-e^{e^2} x^2\right)\right)+\log \left(x+e^5\right)","\log \left(4 \left(x+e^5\right) \log \left(x-e^{e^2} x^2\right)\right)+\log (5)",1,"Log[E^5 + x] + Log[Log[x - E^E^2*x^2]]","A",1
7326,1,18,21,0.1279904,"\int \frac{e^{\frac{9 e^{x/2}}{x}+\frac{x}{2}} (-18+9 x)}{4 x^2} \, dx","Integrate[(E^((9*E^(x/2))/x + x/2)*(-18 + 9*x))/(4*x^2),x]","\frac{1}{2} e^{\frac{9 e^{x/2}}{x}}","\frac{1}{2} \left(e^{\frac{9 e^{x/2}}{x}}+\log (2)\right)",1,"E^((9*E^(x/2))/x)/2","A",1
7327,1,31,28,0.0853619,"\int \frac{-10-10 x+6 x^2+2 x^3+e^4 (2+2 x)+e^2 \left(-8 x-4 x^2\right)+\left(-5+e^4-2 e^2 x+x^2\right) \log \left(\frac{1}{16} \left(25 x^2+e^8 x^2-4 e^6 x^3-10 x^4+x^6+e^4 \left(-10 x^2+6 x^4\right)+e^2 \left(20 x^3-4 x^5\right)\right)\right)}{-10+2 e^4-4 e^2 x+2 x^2} \, dx","Integrate[(-10 - 10*x + 6*x^2 + 2*x^3 + E^4*(2 + 2*x) + E^2*(-8*x - 4*x^2) + (-5 + E^4 - 2*E^2*x + x^2)*Log[(25*x^2 + E^8*x^2 - 4*E^6*x^3 - 10*x^4 + x^6 + E^4*(-10*x^2 + 6*x^4) + E^2*(20*x^3 - 4*x^5))/16])/(-10 + 2*E^4 - 4*E^2*x + 2*x^2),x]","\frac{1}{2} x \left(\log \left(\frac{1}{16} x^2 \left(x^2-2 e^2 x+e^4-5\right)^2\right)+x\right)","\frac{1}{2} x \left(\log \left(\frac{1}{16} \left(\left(e^2-x\right)^2-5\right)^2 x^2\right)+x\right)",1,"(x*(x + Log[(x^2*(-5 + E^4 - 2*E^2*x + x^2)^2)/16]))/2","A",1
7328,1,19,20,0.2148589,"\int \left(2 x+4 x \log (x)+e^{e^{-4-e+x}} \left(-x+\left(-2 x-e^{-4-e+x} x^2\right) \log (x)\right)\right) \, dx","Integrate[2*x + 4*x*Log[x] + E^E^(-4 - E + x)*(-x + (-2*x - E^(-4 - E + x)*x^2)*Log[x]),x]","-\left(\left(e^{e^{x-e-4}}-2\right) x^2 \log (x)\right)","\left(2-e^{e^{x-e-4}}\right) x^2 \log (x)",1,"-((-2 + E^E^(-4 - E + x))*x^2*Log[x])","A",1
7329,1,25,27,0.1283951,"\int \frac{96 x-16 x^2+e^{-e+2 x} (12+20 x)}{e^{-e+2 x} x+4 x^2} \, dx","Integrate[(96*x - 16*x^2 + E^(-E + 2*x)*(12 + 20*x))/(E^(-E + 2*x)*x + 4*x^2),x]","4 \left(-x+3 \log (x)+3 \log \left(4 e^e x+e^{2 x}\right)\right)","4 \left(-x+3 \log \left(x \left(x+\frac{1}{4} e^{2 x-e}\right)\right)+9\right)",1,"4*(-x + 3*Log[x] + 3*Log[E^(2*x) + 4*E^E*x])","A",1
7330,1,14,23,0.0615727,"\int \frac{e^{3 x} \left(-1-x+3 x^2\right)+3 e^{3 x} x \log (2 x)}{x^3+2 x^2 \log (2 x)+x \log ^2(2 x)} \, dx","Integrate[(E^(3*x)*(-1 - x + 3*x^2) + 3*E^(3*x)*x*Log[2*x])/(x^3 + 2*x^2*Log[2*x] + x*Log[2*x]^2),x]","\frac{e^{3 x}}{x+\log (2 x)}","\log \left(4 e^{\frac{e^{3 x}}{x+\log (2 x)}}\right)-\frac{1}{5}",1,"E^(3*x)/(x + Log[2*x])","A",1
7331,1,90,28,0.0670091,"\int \frac{2+4 x-4 e^6 x+e^{12} x+\left(-4 x+2 e^6 x\right) \log \left(\frac{4}{x}\right)+x \log ^2\left(\frac{4}{x}\right)+\left(4 x-2 e^6 x-2 x \log \left(\frac{4}{x}\right)\right) \log (x)+\left(8 x^2-6 e^6 x^2+e^{12} x^2+\left(-6 x^2+2 e^6 x^2\right) \log \left(\frac{4}{x}\right)+x^2 \log ^2\left(\frac{4}{x}\right)\right) \log (\log (2))}{x^2} \, dx","Integrate[(2 + 4*x - 4*E^6*x + E^12*x + (-4*x + 2*E^6*x)*Log[4/x] + x*Log[4/x]^2 + (4*x - 2*E^6*x - 2*x*Log[4/x])*Log[x] + (8*x^2 - 6*E^6*x^2 + E^12*x^2 + (-6*x^2 + 2*E^6*x^2)*Log[4/x] + x^2*Log[4/x]^2)*Log[Log[2]])/x^2,x]","-\frac{2}{x}+\left(x \log (\log (2))+\log (x)-e^6+2\right) \log ^2\left(\frac{4}{x}\right)-\left(e^6-2\right) \log ^2(x)+2 \left(e^6-2\right) x \log (\log (2)) \log \left(\frac{4}{x}\right)+\left(e^6-2\right)^2 \log (x)+e^{12} x \log (\log (2))-4 e^6 x \log (\log (2))+4 x \log (\log (2))","\left(\log \left(\frac{4}{x}\right)+e^6-2\right)^2 (x \log (\log (2))+\log (x))-\frac{2}{x}",1,"-2/x + (-2 + E^6)^2*Log[x] - (-2 + E^6)*Log[x]^2 + 4*x*Log[Log[2]] - 4*E^6*x*Log[Log[2]] + E^12*x*Log[Log[2]] + 2*(-2 + E^6)*x*Log[4/x]*Log[Log[2]] + Log[4/x]^2*(2 - E^6 + Log[x] + x*Log[Log[2]])","B",1
7332,1,14,16,0.0140161,"\int \frac{e^4+432 e^{2 x}}{e^4+144 e^{2 x}} \, dx","Integrate[(E^4 + 432*E^(2*x))/(E^4 + 144*E^(2*x)),x]","x+\log \left(144 e^{2 x}+e^4\right)","x+\log \left(e^{2 x}+\frac{e^4}{144}\right)",1,"x + Log[E^4 + 144*E^(2*x)]","A",1
7333,1,23,25,0.002074,"\int \frac{-135-27 \log ^2(5)}{52 x^2+12 x^2 \log ^2(5)} \, dx","Integrate[(-135 - 27*Log[5]^2)/(52*x^2 + 12*x^2*Log[5]^2),x]","\frac{27 \left(5+\log ^2(5)\right)}{4 x \left(13+3 \log ^2(5)\right)}","5-\frac{9}{4 \left(\frac{2 x}{3 \left(5+\log ^2(5)\right)}-x\right)}",1,"(27*(5 + Log[5]^2))/(4*x*(13 + 3*Log[5]^2))","A",1
7334,1,26,26,0.2577169,"\int \frac{e^{1+e^{2 x^2}-x} \left(-1+4 e^{2 x^2} x\right)}{e^{1+e^{2 x^2}-x}-15625 e^{9+\log ^2(5)}} \, dx","Integrate[(E^(1 + E^(2*x^2) - x)*(-1 + 4*E^(2*x^2)*x))/(E^(1 + E^(2*x^2) - x) - 15625*E^(9 + Log[5]^2)),x]","\log \left(e^{e^{2 x^2}}-15625 e^{x+8+\log ^2(5)}\right)-x","\log \left(e^{(3+\log (5))^2}-e^{e^{2 x^2}-x+1}\right)",1,"-x + Log[E^E^(2*x^2) - 15625*E^(8 + x + Log[5]^2)]","A",1
7335,1,19,19,0.1132489,"\int e^{3+e^x-x+x^2+3 \log ^4(4)} \left(-1+e^x+2 x\right) \, dx","Integrate[E^(3 + E^x - x + x^2 + 3*Log[4]^4)*(-1 + E^x + 2*x),x]","e^{x^2-x+e^x+3+3 \log ^4(4)}","e^{x^2-x+e^x+3+3 \log ^4(4)}",1,"E^(3 + E^x - x + x^2 + 3*Log[4]^4)","A",1
7336,1,25,26,0.2287194,"\int \frac{e^4 \left(4 x^4-4 x^5+x^6\right)+e^{\frac{2 x^2}{e^4 (-2+x)}} \left(-512 x^3+128 x^4+e^4 \left(-512+384 x^2-128 x^3\right)\right)+\left(e^{\frac{2 x^2}{e^4 (-2+x)}} \left(-512 x^2+128 x^3\right)+e^4 \left(12 x^3-12 x^4+3 x^5\right)\right) \log (x)+e^4 \left(12 x^2-12 x^3+3 x^4\right) \log ^2(x)+e^4 \left(4 x-4 x^2+x^3\right) \log ^3(x)}{e^4 \left(4 x^4-4 x^5+x^6\right)+e^4 \left(12 x^3-12 x^4+3 x^5\right) \log (x)+e^4 \left(12 x^2-12 x^3+3 x^4\right) \log ^2(x)+e^4 \left(4 x-4 x^2+x^3\right) \log ^3(x)} \, dx","Integrate[(E^4*(4*x^4 - 4*x^5 + x^6) + E^((2*x^2)/(E^4*(-2 + x)))*(-512*x^3 + 128*x^4 + E^4*(-512 + 384*x^2 - 128*x^3)) + (E^((2*x^2)/(E^4*(-2 + x)))*(-512*x^2 + 128*x^3) + E^4*(12*x^3 - 12*x^4 + 3*x^5))*Log[x] + E^4*(12*x^2 - 12*x^3 + 3*x^4)*Log[x]^2 + E^4*(4*x - 4*x^2 + x^3)*Log[x]^3)/(E^4*(4*x^4 - 4*x^5 + x^6) + E^4*(12*x^3 - 12*x^4 + 3*x^5)*Log[x] + E^4*(12*x^2 - 12*x^3 + 3*x^4)*Log[x]^2 + E^4*(4*x - 4*x^2 + x^3)*Log[x]^3),x]","\frac{64 e^{\frac{2 x^2}{e^4 (x-2)}}}{(x+\log (x))^2}+x","\frac{64 e^{\frac{2 x^2}{e^4 (x-2)}}}{(x+\log (x))^2}+x-3",1,"x + (64*E^((2*x^2)/(E^4*(-2 + x))))/(x + Log[x])^2","A",1
7337,1,15,15,0.2723444,"\int \frac{1}{2} e^{\frac{1}{2} \left(2-e^x\right)+x^{e^{\frac{1}{2} \left(2-e^x\right)}}} x^{-1+e^{\frac{1}{2} \left(2-e^x\right)}} \left(2-e^x x \log (x)\right) \, dx","Integrate[(E^((2 - E^x)/2 + x^E^((2 - E^x)/2))*x^(-1 + E^((2 - E^x)/2))*(2 - E^x*x*Log[x]))/2,x]","e^{x^{e^{1-\frac{e^x}{2}}}}","e^{x^{e^{1-\frac{e^x}{2}}}}",1,"E^x^E^(1 - E^x/2)","A",1
7338,1,32,34,0.303295,"\int \frac{-8+\left(-8-16 x^2\right) \log (x)+\left(x^2-8 x^3-2 x^4+e^x \left(1-x+2 x^2\right)\right) \log ^2(x)+\left(8 x^2 \log (x)+\left(-e^x x^2+4 x^3+x^4\right) \log ^2(x)+\left(-8 \log (x)+\left(e^x-4 x-x^2\right) \log ^2(x)\right) \log \left(\frac{8+\left(-e^x+4 x+x^2\right) \log (x)}{x \log (x)}\right)\right) \log \left(x^2-\log \left(\frac{8+\left(-e^x+4 x+x^2\right) \log (x)}{x \log (x)}\right)\right)}{\left(8 x^2 \log (x)+\left(-e^x x^2+4 x^3+x^4\right) \log ^2(x)+\left(-8 \log (x)+\left(e^x-4 x-x^2\right) \log ^2(x)\right) \log \left(\frac{8+\left(-e^x+4 x+x^2\right) \log (x)}{x \log (x)}\right)\right) \log ^2\left(x^2-\log \left(\frac{8+\left(-e^x+4 x+x^2\right) \log (x)}{x \log (x)}\right)\right)} \, dx","Integrate[(-8 + (-8 - 16*x^2)*Log[x] + (x^2 - 8*x^3 - 2*x^4 + E^x*(1 - x + 2*x^2))*Log[x]^2 + (8*x^2*Log[x] + (-(E^x*x^2) + 4*x^3 + x^4)*Log[x]^2 + (-8*Log[x] + (E^x - 4*x - x^2)*Log[x]^2)*Log[(8 + (-E^x + 4*x + x^2)*Log[x])/(x*Log[x])])*Log[x^2 - Log[(8 + (-E^x + 4*x + x^2)*Log[x])/(x*Log[x])]])/((8*x^2*Log[x] + (-(E^x*x^2) + 4*x^3 + x^4)*Log[x]^2 + (-8*Log[x] + (E^x - 4*x - x^2)*Log[x]^2)*Log[(8 + (-E^x + 4*x + x^2)*Log[x])/(x*Log[x])])*Log[x^2 - Log[(8 + (-E^x + 4*x + x^2)*Log[x])/(x*Log[x])]]^2),x]","\frac{x}{\log \left(x^2-\log \left(x-\frac{e^x}{x}+\frac{8}{x \log (x)}+4\right)\right)}","\frac{x}{\log \left(x^2-\log \left(x-\frac{e^x}{x}+\frac{8}{x \log (x)}+4\right)\right)}+5",1,"x/Log[x^2 - Log[4 - E^x/x + x + 8/(x*Log[x])]]","A",1
7339,1,24,25,0.2083967,"\int \frac{e^{2/x} \left(3 x+3 x^2\right)+e^{2/x} \left(-3 x-3 x^2+x^3\right) \log (x)+e^{2/x} (-2-2 x) \log (x) \log \left(\frac{5 \log ^3(x)}{x+x^2}\right)}{\left(x^2+x^3\right) \log (x)} \, dx","Integrate[(E^(2/x)*(3*x + 3*x^2) + E^(2/x)*(-3*x - 3*x^2 + x^3)*Log[x] + E^(2/x)*(-2 - 2*x)*Log[x]*Log[(5*Log[x]^3)/(x + x^2)])/((x^2 + x^3)*Log[x]),x]","e^{2/x} \left(\log \left(\frac{5 \log ^3(x)}{x^2+x}\right)+x\right)","e^{2/x} \left(x+\log \left(\frac{5 \log ^3(x)}{x (x+1)}\right)\right)",1,"E^(2/x)*(x + Log[(5*Log[x]^3)/(x + x^2)])","A",1
7340,1,11,15,0.0459254,"\int \frac{10+3 x+(3+x) \log (x)}{3 x+x \log (x)} \, dx","Integrate[(10 + 3*x + (3 + x)*Log[x])/(3*x + x*Log[x]),x]","x+3 \log (x)+\log (\log (x)+3)","x-\log \left(\frac{1}{x^3 (\log (x)+3)}\right)",1,"x + 3*Log[x] + Log[3 + Log[x]]","A",1
7341,1,56,31,0.3315691,"\int \frac{125 x^3+50 x^4+5 x^5+\exp \left(\frac{-20-12 x-125 x^2-25 x^3+e \left(25 x^2+5 x^3\right)}{25 x^2+5 x^3}\right) \left(200+120 x+24 x^2\right)}{125 x^4+50 x^5+5 x^6+\exp \left(\frac{-20-12 x-125 x^2-25 x^3+e \left(25 x^2+5 x^3\right)}{25 x^2+5 x^3}\right) \left(125 x^3+50 x^4+5 x^5\right)} \, dx","Integrate[(125*x^3 + 50*x^4 + 5*x^5 + E^((-20 - 12*x - 125*x^2 - 25*x^3 + E*(25*x^2 + 5*x^3))/(25*x^2 + 5*x^3))*(200 + 120*x + 24*x^2))/(125*x^4 + 50*x^5 + 5*x^6 + E^((-20 - 12*x - 125*x^2 - 25*x^3 + E*(25*x^2 + 5*x^3))/(25*x^2 + 5*x^3))*(125*x^3 + 50*x^4 + 5*x^5)),x]","\frac{1}{5} \left(5 \log \left(e^{\frac{4}{5 x^2}-\frac{8}{25 (x+5)}+\frac{8}{25 x}+5} x+e^e\right)-\frac{4 (3 x+5)}{x^2 (x+5)}\right)","\log \left(x+e^{\frac{4 \left(\frac{2 x-5}{x}-5\right)}{5 x (x+5)}+e-5}\right)",1,"((-4*(5 + 3*x))/(x^2*(5 + x)) + 5*Log[E^E + E^(5 + 4/(5*x^2) + 8/(25*x) - 8/(25*(5 + x)))*x])/5","A",1
7342,1,15,21,0.0241699,"\int \left(3 x^2+3 e^{3-x^3} x^2\right) \, dx","Integrate[3*x^2 + 3*E^(3 - x^3)*x^2,x]","x^3-e^{3-x^3}","x^3-e^{3-x^3}+e^6-3+\log (5)",1,"-E^(3 - x^3) + x^3","A",1
7343,1,27,32,0.1055782,"\int \frac{\left(15-17 x-4 x^2\right) \log \left(\frac{9-24 x+16 x^2}{x^4}\right)+\left(-120+92 x-8 x^2+(60-40 x) \log (x)\right) \log (10-x-5 \log (x))+\left(30 x-43 x^2+4 x^3+\left(-15 x+20 x^2\right) \log (x)\right) \log ^2(10-x-5 \log (x))}{\left(30 x-43 x^2+4 x^3+\left(-15 x+20 x^2\right) \log (x)\right) \log ^2(10-x-5 \log (x))} \, dx","Integrate[((15 - 17*x - 4*x^2)*Log[(9 - 24*x + 16*x^2)/x^4] + (-120 + 92*x - 8*x^2 + (60 - 40*x)*Log[x])*Log[10 - x - 5*Log[x]] + (30*x - 43*x^2 + 4*x^3 + (-15*x + 20*x^2)*Log[x])*Log[10 - x - 5*Log[x]]^2)/((30*x - 43*x^2 + 4*x^3 + (-15*x + 20*x^2)*Log[x])*Log[10 - x - 5*Log[x]]^2),x]","\frac{\log \left(\frac{(4 x-3)^2}{x^4}\right)}{\log (-x-5 \log (x)+10)}+x","\frac{\log \left(\frac{\left(\frac{3}{x}-4\right)^2}{x^2}\right)}{\log (5 (2-\log (x))-x)}+x",1,"x + Log[(-3 + 4*x)^2/x^4]/Log[10 - x - 5*Log[x]]","A",1
7344,1,24,25,0.1001264,"\int \frac{216-24 x-24 x^2-4 x^3-4 x^4+\left(-24 x-2 x^3\right) \log (x)}{-9 x^3+x^4+x^5+x^4 \log (x)} \, dx","Integrate[(216 - 24*x - 24*x^2 - 4*x^3 - 4*x^4 + (-24*x - 2*x^3)*Log[x])/(-9*x^3 + x^4 + x^5 + x^4*Log[x]),x]","-2 \left(\log \left(-x^2-x-x \log (x)+9\right)-\frac{6}{x^2}\right)","\frac{12}{x^2}-\log \left(9 \left(\frac{1}{3} x (x+\log (x)+1)-3\right)^2\right)",1,"-2*(-6/x^2 + Log[9 - x - x^2 - x*Log[x]])","A",1
7345,1,25,20,0.0093681,"\int \frac{1}{2} \left(-2 e^{e^{\log ^2(10)}}+e^{x/2}\right) \, dx","Integrate[(-2*E^E^Log[10]^2 + E^(x/2))/2,x]","\frac{1}{2} \left(2 e^{x/2}-2 x e^{e^{\log ^2(10)}}\right)","e^{x/2}+x \left(-e^{e^{\log ^2(10)}}\right)+1",1,"(2*E^(x/2) - 2*E^E^Log[10]^2*x)/2","A",1
7346,1,19,19,0.7247091,"\int \frac{e^{2 x+\frac{16 e^{2 x} x^2}{729+1458 x+729 x^2}} \left(32 x+32 x^2+32 x^3\right)}{729+2187 x+2187 x^2+729 x^3} \, dx","Integrate[(E^(2*x + (16*E^(2*x)*x^2)/(729 + 1458*x + 729*x^2))*(32*x + 32*x^2 + 32*x^3))/(729 + 2187*x + 2187*x^2 + 729*x^3),x]","e^{\frac{16 e^{2 x} x^2}{729 (x+1)^2}}","e^{\frac{16 e^{2 x} x^2}{729 (x+1)^2}}",1,"E^((16*E^(2*x)*x^2)/(729*(1 + x)^2))","A",1
7347,1,33,19,0.0426254,"\int \frac{3-2 x^2+12 x^5+5 x^6+e^{2 x} \left(1-2 x-4 x^2+4 x^5+2 x^6\right)}{x^2} \, dx","Integrate[(3 - 2*x^2 + 12*x^5 + 5*x^6 + E^(2*x)*(1 - 2*x - 4*x^2 + 4*x^5 + 2*x^6))/x^2,x]","\frac{x^6+3 x^5+e^{2 x} \left(x^5-2 x-1\right)-2 x^2-3}{x}","\left(x+e^{2 x}+3\right) \left(x^4-\frac{1}{x}-2\right)",1,"(-3 - 2*x^2 + 3*x^5 + x^6 + E^(2*x)*(-1 - 2*x + x^5))/x","A",1
7348,1,88,33,0.164136,"\int \frac{270 x^3+1431 x^4-828 x^5-21016 x^6+43992 x^7-189668 x^8+381578 x^9-382272 x^{10}+221780 x^{11}-79932 x^{12}+18236 x^{13}-2568 x^{14}+204 x^{15}-7 x^{16}+\left(-18 x^2-528 x^3+628 x^4-240 x^5-60 x^6+168 x^7-100 x^8+24 x^9-2 x^{10}\right) \log (x)+\left(27 x^2-24 x^3+5 x^4\right) \log ^2(x)}{35721 x^4-47628 x^5+874314 x^6-1479492 x^7+8243811 x^8-15734160 x^9+39581880 x^{10}-71563680 x^{11}+106612717 x^{12}-141607796 x^{13}+145039298 x^{14}-106050644 x^{15}+55218437 x^{16}-20791560 x^{17}+5728480 x^{18}-1157680 x^{19}+169971 x^{20}-17668 x^{21}+1234 x^{22}-52 x^{23}+x^{24}+\left(-11340 x^3+11340 x^4-195480 x^5+268800 x^6-1160748 x^7+1862828 x^8-3083396 x^9+4295684 x^{10}-3745020 x^{11}+2041420 x^{12}-724740 x^{13}+171300 x^{14}-26848 x^{15}+2688 x^{16}-156 x^{17}+4 x^{18}\right) \log (x)+\left(1278 x^2-852 x^3+13642 x^4-14400 x^5+39390 x^6-50460 x^7+29910 x^8-9480 x^9+1674 x^{10}-156 x^{11}+6 x^{12}\right) \log ^2(x)+\left(-60 x+20 x^2-300 x^3+220 x^4-52 x^5+4 x^6\right) \log ^3(x)+\log ^4(x)} \, dx","Integrate[(270*x^3 + 1431*x^4 - 828*x^5 - 21016*x^6 + 43992*x^7 - 189668*x^8 + 381578*x^9 - 382272*x^10 + 221780*x^11 - 79932*x^12 + 18236*x^13 - 2568*x^14 + 204*x^15 - 7*x^16 + (-18*x^2 - 528*x^3 + 628*x^4 - 240*x^5 - 60*x^6 + 168*x^7 - 100*x^8 + 24*x^9 - 2*x^10)*Log[x] + (27*x^2 - 24*x^3 + 5*x^4)*Log[x]^2)/(35721*x^4 - 47628*x^5 + 874314*x^6 - 1479492*x^7 + 8243811*x^8 - 15734160*x^9 + 39581880*x^10 - 71563680*x^11 + 106612717*x^12 - 141607796*x^13 + 145039298*x^14 - 106050644*x^15 + 55218437*x^16 - 20791560*x^17 + 5728480*x^18 - 1157680*x^19 + 169971*x^20 - 17668*x^21 + 1234*x^22 - 52*x^23 + x^24 + (-11340*x^3 + 11340*x^4 - 195480*x^5 + 268800*x^6 - 1160748*x^7 + 1862828*x^8 - 3083396*x^9 + 4295684*x^10 - 3745020*x^11 + 2041420*x^12 - 724740*x^13 + 171300*x^14 - 26848*x^15 + 2688*x^16 - 156*x^17 + 4*x^18)*Log[x] + (1278*x^2 - 852*x^3 + 13642*x^4 - 14400*x^5 + 39390*x^6 - 50460*x^7 + 29910*x^8 - 9480*x^9 + 1674*x^10 - 156*x^11 + 6*x^12)*Log[x]^2 + (-60*x + 20*x^2 - 300*x^3 + 220*x^4 - 52*x^5 + 4*x^6)*Log[x]^3 + Log[x]^4),x]","\frac{(x-3)^2 x^3}{2 \left(x^5-13 x^4+55 x^3-75 x^2+5 x-15\right) x \log (x)+(x-3)^2 \left(x^8-20 x^7+150 x^6-500 x^5+635 x^4-100 x^3+250 x^2+21\right) x^2+\log ^2(x)}","\frac{x}{\left((x-5)^2 x^2-\frac{\log (x)}{(3-x) x}+5\right)^2-4}",1,"((-3 + x)^2*x^3)/((-3 + x)^2*x^2*(21 + 250*x^2 - 100*x^3 + 635*x^4 - 500*x^5 + 150*x^6 - 20*x^7 + x^8) + 2*x*(-15 + 5*x - 75*x^2 + 55*x^3 - 13*x^4 + x^5)*Log[x] + Log[x]^2)","B",1
7349,1,35,34,0.0820319,"\int \frac{360-1800 x-744 x^2-408 x^3-528 x^4-104 x^5-32 x^6-32 x^7+e^{2 x} \left(-72 x^3-72 x^4-18 x^5\right)+e^x \left(828 x^2+540 x^3+120 x^4+120 x^5+48 x^6\right)}{900+360 x+156 x^2+264 x^3+52 x^4+16 x^5+16 x^6+e^{2 x} \left(36 x^2+36 x^3+9 x^4\right)+e^x \left(-360 x-252 x^2-60 x^3-60 x^4-24 x^5\right)} \, dx","Integrate[(360 - 1800*x - 744*x^2 - 408*x^3 - 528*x^4 - 104*x^5 - 32*x^6 - 32*x^7 + E^(2*x)*(-72*x^3 - 72*x^4 - 18*x^5) + E^x*(828*x^2 + 540*x^3 + 120*x^4 + 120*x^5 + 48*x^6))/(900 + 360*x + 156*x^2 + 264*x^3 + 52*x^4 + 16*x^5 + 16*x^6 + E^(2*x)*(36*x^2 + 36*x^3 + 9*x^4) + E^x*(-360*x - 252*x^2 - 60*x^3 - 60*x^4 - 24*x^5)),x]","-x \left(x-\frac{12}{4 x^3+\left(2-3 e^x\right) x^2-6 \left(e^x-1\right) x+30}\right)","\frac{4}{x^2-\left(-\frac{x}{3}+e^x-\frac{5}{x}\right) (x+2)-3}-x^2",1,"-(x*(x - 12/(30 - 6*(-1 + E^x)*x + (2 - 3*E^x)*x^2 + 4*x^3)))","A",1
7350,0,0,30,0.177583,"\int \frac{\left(\left(-320-16 x-1280 x^2-64 x^3\right) \log \left(\frac{20+x}{4}\right)+\left(1280 x^2+64 x^3\right) \log \left(x^2\right) \log \left(\frac{20+x}{4}\right)\right) \log \left(\frac{16+64 x^2}{\log \left(x^2\right)}\right)+\left(-4 x-16 x^3\right) \log \left(x^2\right) \log ^2\left(\frac{16+64 x^2}{\log \left(x^2\right)}\right)}{\left(20 x+x^2+80 x^3+4 x^4\right) \log \left(x^2\right) \log ^2\left(\frac{20+x}{4}\right)} \, dx","Integrate[(((-320 - 16*x - 1280*x^2 - 64*x^3)*Log[(20 + x)/4] + (1280*x^2 + 64*x^3)*Log[x^2]*Log[(20 + x)/4])*Log[(16 + 64*x^2)/Log[x^2]] + (-4*x - 16*x^3)*Log[x^2]*Log[(16 + 64*x^2)/Log[x^2]]^2)/((20*x + x^2 + 80*x^3 + 4*x^4)*Log[x^2]*Log[(20 + x)/4]^2),x]","\int \frac{\left(\left(-320-16 x-1280 x^2-64 x^3\right) \log \left(\frac{20+x}{4}\right)+\left(1280 x^2+64 x^3\right) \log \left(x^2\right) \log \left(\frac{20+x}{4}\right)\right) \log \left(\frac{16+64 x^2}{\log \left(x^2\right)}\right)+\left(-4 x-16 x^3\right) \log \left(x^2\right) \log ^2\left(\frac{16+64 x^2}{\log \left(x^2\right)}\right)}{\left(20 x+x^2+80 x^3+4 x^4\right) \log \left(x^2\right) \log ^2\left(\frac{20+x}{4}\right)} \, dx","\frac{4 \log ^2\left(\frac{4 \left(16 x^2+4\right)}{\log \left(x^2\right)}\right)}{\log \left(\frac{x}{4}+5\right)}",1,"Integrate[(((-320 - 16*x - 1280*x^2 - 64*x^3)*Log[(20 + x)/4] + (1280*x^2 + 64*x^3)*Log[x^2]*Log[(20 + x)/4])*Log[(16 + 64*x^2)/Log[x^2]] + (-4*x - 16*x^3)*Log[x^2]*Log[(16 + 64*x^2)/Log[x^2]]^2)/((20*x + x^2 + 80*x^3 + 4*x^4)*Log[x^2]*Log[(20 + x)/4]^2), x]","F",-1
7351,1,30,31,0.8501618,"\int \frac{e^{5 x} \left(e^{2 x} (4+20 x)+e^x \left(-28 x^2+6 e^3 x^2-12 x^3\right)\right)}{16 e^{2 x}+25 x^2+e^6 x^2+20 x^3+4 x^4+e^x \left(-40 x+8 e^3 x-16 x^2\right)+e^3 \left(-10 x^2-4 x^3\right)} \, dx","Integrate[(E^(5*x)*(E^(2*x)*(4 + 20*x) + E^x*(-28*x^2 + 6*E^3*x^2 - 12*x^3)))/(16*E^(2*x) + 25*x^2 + E^6*x^2 + 20*x^3 + 4*x^4 + E^x*(-40*x + 8*E^3*x - 16*x^2) + E^3*(-10*x^2 - 4*x^3)),x]","\frac{2 e^{6 x} x}{-2 (2 x+5) x+2 e^3 x+8 e^x}","\frac{e^{5 x}}{\frac{4}{x}-e^{-x} \left(2 x-e^3+5\right)}",1,"(2*E^(6*x)*x)/(8*E^x + 2*E^3*x - 2*x*(5 + 2*x))","A",1
7352,1,72,37,0.9051897,"\int \frac{-16 x^2-68 x^3-32 x^4-4 x^5+e^2 \left(64 x^3+32 x^4+4 x^5\right)+\left(4 x^3+e^2 \left(16 x^2+4 x^3\right)\right) \log (x)+\left(64 x^3+32 x^4+4 x^5+\left(16 x^2+4 x^3\right) \log (x)\right) \log \left(\frac{4 x+x^2+\log (x)}{4+x}\right)+\left(-32 x-120 x^2+4 x^3+24 x^4+4 x^5+e^2 \left(128 x^2-24 x^4-4 x^5\right)+\left(8 x^2-4 x^3+e^2 \left(32 x-8 x^2-4 x^3\right)\right) \log (x)+\left(128 x^2-24 x^4-4 x^5+\left(32 x-8 x^2-4 x^3\right) \log (x)\right) \log \left(\frac{4 x+x^2+\log (x)}{4+x}\right)\right) \log \left(\frac{e^4+2 e^2 \log \left(\frac{4 x+x^2+\log (x)}{4+x}\right)+\log ^2\left(\frac{4 x+x^2+\log (x)}{4+x}\right)}{x^2}\right)+\left(e^2 \left(-64 x^2-32 x^3-4 x^4\right)+e^2 \left(-16 x-4 x^2\right) \log (x)+\left(-64 x^2-32 x^3-4 x^4+\left(-16 x-4 x^2\right) \log (x)\right) \log \left(\frac{4 x+x^2+\log (x)}{4+x}\right)\right) \log ^2\left(\frac{e^4+2 e^2 \log \left(\frac{4 x+x^2+\log (x)}{4+x}\right)+\log ^2\left(\frac{4 x+x^2+\log (x)}{4+x}\right)}{x^2}\right)+\left(e^2 \left(-128 x+24 x^3+4 x^4\right)+e^2 \left(-32+8 x+4 x^2\right) \log (x)+\left(-128 x+24 x^3+4 x^4+\left(-32+8 x+4 x^2\right) \log (x)\right) \log \left(\frac{4 x+x^2+\log (x)}{4+x}\right)\right) \log ^3\left(\frac{e^4+2 e^2 \log \left(\frac{4 x+x^2+\log (x)}{4+x}\right)+\log ^2\left(\frac{4 x+x^2+\log (x)}{4+x}\right)}{x^2}\right)}{\left(e^2 \left(16 x^4+8 x^5+x^6\right)+e^2 \left(4 x^3+x^4\right) \log (x)+\left(16 x^4+8 x^5+x^6+\left(4 x^3+x^4\right) \log (x)\right) \log \left(\frac{4 x+x^2+\log (x)}{4+x}\right)\right) \log ^3\left(\frac{e^4+2 e^2 \log \left(\frac{4 x+x^2+\log (x)}{4+x}\right)+\log ^2\left(\frac{4 x+x^2+\log (x)}{4+x}\right)}{x^2}\right)} \, dx","Integrate[(-16*x^2 - 68*x^3 - 32*x^4 - 4*x^5 + E^2*(64*x^3 + 32*x^4 + 4*x^5) + (4*x^3 + E^2*(16*x^2 + 4*x^3))*Log[x] + (64*x^3 + 32*x^4 + 4*x^5 + (16*x^2 + 4*x^3)*Log[x])*Log[(4*x + x^2 + Log[x])/(4 + x)] + (-32*x - 120*x^2 + 4*x^3 + 24*x^4 + 4*x^5 + E^2*(128*x^2 - 24*x^4 - 4*x^5) + (8*x^2 - 4*x^3 + E^2*(32*x - 8*x^2 - 4*x^3))*Log[x] + (128*x^2 - 24*x^4 - 4*x^5 + (32*x - 8*x^2 - 4*x^3)*Log[x])*Log[(4*x + x^2 + Log[x])/(4 + x)])*Log[(E^4 + 2*E^2*Log[(4*x + x^2 + Log[x])/(4 + x)] + Log[(4*x + x^2 + Log[x])/(4 + x)]^2)/x^2] + (E^2*(-64*x^2 - 32*x^3 - 4*x^4) + E^2*(-16*x - 4*x^2)*Log[x] + (-64*x^2 - 32*x^3 - 4*x^4 + (-16*x - 4*x^2)*Log[x])*Log[(4*x + x^2 + Log[x])/(4 + x)])*Log[(E^4 + 2*E^2*Log[(4*x + x^2 + Log[x])/(4 + x)] + Log[(4*x + x^2 + Log[x])/(4 + x)]^2)/x^2]^2 + (E^2*(-128*x + 24*x^3 + 4*x^4) + E^2*(-32 + 8*x + 4*x^2)*Log[x] + (-128*x + 24*x^3 + 4*x^4 + (-32 + 8*x + 4*x^2)*Log[x])*Log[(4*x + x^2 + Log[x])/(4 + x)])*Log[(E^4 + 2*E^2*Log[(4*x + x^2 + Log[x])/(4 + x)] + Log[(4*x + x^2 + Log[x])/(4 + x)]^2)/x^2]^3)/((E^2*(16*x^4 + 8*x^5 + x^6) + E^2*(4*x^3 + x^4)*Log[x] + (16*x^4 + 8*x^5 + x^6 + (4*x^3 + x^4)*Log[x])*Log[(4*x + x^2 + Log[x])/(4 + x)])*Log[(E^4 + 2*E^2*Log[(4*x + x^2 + Log[x])/(4 + x)] + Log[(4*x + x^2 + Log[x])/(4 + x)]^2)/x^2]^3),x]","4 \left(\frac{1-x}{x^2}+\frac{1}{4 \log ^2\left(\frac{\left(\log \left(x+\frac{\log (x)}{x+4}\right)+e^2\right)^2}{x^2}\right)}+\frac{\frac{1}{x}-\frac{1}{2}}{\log \left(\frac{\left(\log \left(x+\frac{\log (x)}{x+4}\right)+e^2\right)^2}{x^2}\right)}\right)","\frac{\left(\frac{x}{\log \left(\frac{\left(\log \left(x+\frac{\log (x)}{x+4}\right)+e^2\right)^2}{x^2}\right)}-x+2\right)^2}{x^2}",1,"4*((1 - x)/x^2 + 1/(4*Log[(E^2 + Log[x + Log[x]/(4 + x)])^2/x^2]^2) + (-1/2 + x^(-1))/Log[(E^2 + Log[x + Log[x]/(4 + x)])^2/x^2])","A",1
7353,1,18,19,0.016778,"\int \frac{75 e^{4+x}}{625 e^2+81 e^{2 x}+450 e^{1+x}} \, dx","Integrate[(75*E^(4 + x))/(625*E^2 + 81*E^(2*x) + 450*E^(1 + x)),x]","-\frac{25 e^4}{3 \left(9 e^x+25 e\right)}","\frac{e^3}{\frac{25 e^{1-x}}{3}+3}",1,"(-25*E^4)/(3*(25*E + 9*E^x))","A",1
7354,1,33,29,0.1108829,"\int \frac{2 x-x^2+e^x \left(-4 x+2 x^2-2 x^3\right)+\left(-1+e^x (2-2 x)\right) \log \left(\frac{e^{2 x}}{2+e^x (-8+8 x)+e^{2 x} \left(8-16 x+8 x^2\right)}\right)}{x^4+e^x \left(-2 x^4+2 x^5\right)+\left(-2 x^2+e^x \left(4 x^2-4 x^3\right)\right) \log \left(\frac{e^{2 x}}{2+e^x (-8+8 x)+e^{2 x} \left(8-16 x+8 x^2\right)}\right)+\left(1+e^x (-2+2 x)\right) \log ^2\left(\frac{e^{2 x}}{2+e^x (-8+8 x)+e^{2 x} \left(8-16 x+8 x^2\right)}\right)} \, dx","Integrate[(2*x - x^2 + E^x*(-4*x + 2*x^2 - 2*x^3) + (-1 + E^x*(2 - 2*x))*Log[E^(2*x)/(2 + E^x*(-8 + 8*x) + E^(2*x)*(8 - 16*x + 8*x^2))])/(x^4 + E^x*(-2*x^4 + 2*x^5) + (-2*x^2 + E^x*(4*x^2 - 4*x^3))*Log[E^(2*x)/(2 + E^x*(-8 + 8*x) + E^(2*x)*(8 - 16*x + 8*x^2))] + (1 + E^x*(-2 + 2*x))*Log[E^(2*x)/(2 + E^x*(-8 + 8*x) + E^(2*x)*(8 - 16*x + 8*x^2))]^2),x]","-\frac{x}{\log \left(\frac{e^{2 x}}{2 \left(2 e^x (x-1)+1\right)^2}\right)-x^2}","\frac{x}{x^2-\log \left(\frac{1}{2 \left(-2 x-e^{-x}+2\right)^2}\right)}",1,"-(x/(-x^2 + Log[E^(2*x)/(2*(1 + 2*E^x*(-1 + x))^2)]))","A",1
7355,1,12,12,0.0000769,"\int \left(1+2 e^{16} \log ^2(4)\right) \, dx","Integrate[1 + 2*E^16*Log[4]^2,x]","x+2 e^{16} x \log ^2(4)","x+2 e^{16} x \log ^2(4)",1,"x + 2*E^16*x*Log[4]^2","A",1
7356,1,17,18,0.0014058,"\int \left(-10 e^8 x-5 \log (x)\right) \, dx","Integrate[-10*E^8*x - 5*Log[x],x]","-5 e^8 x^2+5 x-5 x \log (x)","5 \left(-e^8 x^2+x-x \log (x)+2\right)",1,"5*x - 5*E^8*x^2 - 5*x*Log[x]","A",1
7357,1,10,15,0.0000747,"\int (-1+2 x \log (5)) \, dx","Integrate[-1 + 2*x*Log[5],x]","x^2 \log (5)-x","\log (5) \left(x^2-10+\log (2)\right)-x+1",1,"-x + x^2*Log[5]","A",1
7358,1,26,24,0.464143,"\int \frac{1-x+\left(3 x^3+3 e^4 x^3\right) \log (5)}{-x^2+\left(-3 x+x^4+e^4 x^4\right) \log (5)+x \log (x)} \, dx","Integrate[(1 - x + (3*x^3 + 3*E^4*x^3)*Log[5])/(-x^2 + (-3*x + x^4 + E^4*x^4)*Log[5] + x*Log[x]),x]","\log \left(e^4 x^3 \log (5)+x^3 \log (5)-x+\log (x)-3 \log (5)\right)","\log \left(\left(3-x^2 \left(e^4 x+x\right)\right) \log (5)+x-\log (x)\right)",1,"Log[-x - 3*Log[5] + x^3*Log[5] + E^4*x^3*Log[5] + Log[x]]","A",1
7359,1,15,15,0.0545676,"\int \frac{\log (\log (75) \log (x))-\log (x) \log ^2(\log (75) \log (x))}{324 x^3 \log (x)} \, dx","Integrate[(Log[Log[75]*Log[x]] - Log[x]*Log[Log[75]*Log[x]]^2)/(324*x^3*Log[x]),x]","\frac{\log ^2(\log (75) \log (x))}{648 x^2}","\frac{\log ^2(\log (75) \log (x))}{648 x^2}",1,"Log[Log[75]*Log[x]]^2/(648*x^2)","A",1
7360,1,25,25,0.3551759,"\int \frac{e^{-6+e^{\frac{-4+x-e^{\frac{x}{e^8}} x}{\log (x)}}+x} \left(e^8 x \log ^2(x)+e^{\frac{-4+x-e^{\frac{x}{e^8}} x}{\log (x)}} \left(e^8 (4-x)+e^{8+\frac{x}{e^8}} x+\left(e^8 x+e^{\frac{x}{e^8}} \left(-e^8 x-x^2\right)\right) \log (x)\right)\right)}{x \log ^2(x)} \, dx","Integrate[(E^(-6 + E^((-4 + x - E^(x/E^8)*x)/Log[x]) + x)*(E^8*x*Log[x]^2 + E^((-4 + x - E^(x/E^8)*x)/Log[x])*(E^8*(4 - x) + E^(8 + x/E^8)*x + (E^8*x + E^(x/E^8)*(-(E^8*x) - x^2))*Log[x])))/(x*Log[x]^2),x]","e^{x+e^{\frac{-e^{\frac{x}{e^8}} x+x-4}{\log (x)}}+2}","e^{x+e^{\frac{-e^{\frac{x}{e^8}} x+x-4}{\log (x)}}+2}",1,"E^(2 + E^((-4 + x - E^(x/E^8)*x)/Log[x]) + x)","A",1
7361,1,25,25,0.3581624,"\int \frac{1}{27} e^{-25+e^{3+2 x}-e^{\frac{1}{54} \left(-162+x^2\right)}+x} \left(27+54 e^{3+2 x}-e^{\frac{1}{54} \left(-162+x^2\right)} x\right) \, dx","Integrate[(E^(-25 + E^(3 + 2*x) - E^((-162 + x^2)/54) + x)*(27 + 54*E^(3 + 2*x) - E^((-162 + x^2)/54)*x))/27,x]","e^{-e^{\frac{x^2}{54}-3}+x+e^{2 x+3}-25}","e^{-e^{\frac{x^2}{54}-3}+x+e^{2 x+3}-25}",1,"E^(-25 + E^(3 + 2*x) - E^(-3 + x^2/54) + x)","A",1
7362,1,32,25,0.027594,"\int \frac{1}{5} \left(5+5 x+e^{2 x^2} \left(-2 x-4 x^3\right)-2 x \log (x)\right) \, dx","Integrate[(5 + 5*x + E^(2*x^2)*(-2*x - 4*x^3) - 2*x*Log[x])/5,x]","-\frac{1}{5} e^{2 x^2} x^2+\frac{3 x^2}{5}-\frac{1}{5} x^2 \log (x)+x","\frac{1}{5} x^2 \left(-e^{2 x^2}-\log (x)+3\right)+x-2",1,"x + (3*x^2)/5 - (E^(2*x^2)*x^2)/5 - (x^2*Log[x])/5","A",1
7363,1,39,15,0.0045522,"\int \frac{-20+18 x-112 x^2-18 x^3+36 x^4+\left(2-2 x+12 x^2\right) \log (x)}{x} \, dx","Integrate[(-20 + 18*x - 112*x^2 - 18*x^3 + 36*x^4 + (2 - 2*x + 12*x^2)*Log[x])/x,x]","9 x^4-6 x^3-59 x^2+6 x^2 \log (x)+20 x+\log ^2(x)-2 x \log (x)-20 \log (x)","((1-3 x) x-\log (x)+10)^2",1,"20*x - 59*x^2 - 6*x^3 + 9*x^4 - 20*Log[x] - 2*x*Log[x] + 6*x^2*Log[x] + Log[x]^2","B",1
7364,1,10,10,0.0150789,"\int \frac{-9-3 \log \left(x^3\right) \log \left(\log \left(x^3\right)\right)}{250 \log \left(x^3\right)} \, dx","Integrate[(-9 - 3*Log[x^3]*Log[Log[x^3]])/(250*Log[x^3]),x]","-\frac{3}{250} x \log \left(\log \left(x^3\right)\right)","-\frac{3}{250} x \log \left(\log \left(x^3\right)\right)",1,"(-3*x*Log[Log[x^3]])/250","A",1
7365,1,57,33,0.4128197,"\int \left(e^3+2 x+e^{25-10 e^x+e^{2 x}+2 x} \left(-1-2 e^3+e^{2 x} \left(-2 e^3-2 x\right)-2 x+e^x \left(10 e^3+10 x\right)\right)-\log \left(4+e^4\right)\right) \, dx","Integrate[E^3 + 2*x + E^(25 - 10*E^x + E^(2*x) + 2*x)*(-1 - 2*E^3 + E^(2*x)*(-2*E^3 - 2*x) - 2*x + E^x*(10*E^3 + 10*x)) - Log[4 + E^4],x]","-e^{2 x-10 e^x+e^{2 x}+25} x+e^3 x-e^{2 x-10 e^x+e^{2 x}+28}+x \left(x-\log \left(4+e^4\right)\right)","\left(x+e^3\right) \left(x-e^{\left(5-e^x\right)^2+2 x}-\log \left(4+e^4\right)\right)",1,"-E^(28 - 10*E^x + E^(2*x) + 2*x) + E^3*x - E^(25 - 10*E^x + E^(2*x) + 2*x)*x + x*(x - Log[4 + E^4])","A",1
7366,1,27,24,0.0030803,"\int \frac{540-90 x-12 x^2+9 x^3+120 \log \left(x^2\right)}{x^3} \, dx","Integrate[(540 - 90*x - 12*x^2 + 9*x^3 + 120*Log[x^2])/x^3,x]","-\frac{330}{x^2}-\frac{60 \log \left(x^2\right)}{x^2}+9 x+\frac{90}{x}-12 \log (x)","3-3 \left(\frac{20}{x^2}+2\right) \left(\log \left(x^2\right)-\frac{3}{2} (x-5)-2\right)",1,"-330/x^2 + 90/x + 9*x - 12*Log[x] - (60*Log[x^2])/x^2","A",1
7367,1,26,29,0.000062,"\int \frac{1}{3} \log \left(3 \log \left(-6+3 e^{e^{\frac{1}{2} \left(8+e^3\right)}}\right)\right) \, dx","Integrate[Log[3*Log[-6 + 3*E^E^((8 + E^3)/2)]]/3,x]","\frac{1}{3} x \log \left(3 \log \left(3 e^{e^{\frac{1}{2} \left(8+e^3\right)}}-6\right)\right)","\frac{1}{3} \left(x \log \left(3 \log \left(3 \left(e^{e^{4+\frac{e^3}{2}}}-2\right)\right)\right)+3\right)",1,"(x*Log[3*Log[-6 + 3*E^E^((8 + E^3)/2)]])/3","A",1
7368,1,4,23,0.000227,"\int -\frac{1}{x} \, dx","Integrate[-x^(-1),x]","-\log (x)","e^{e^4}-\log \left(x \left((5+e)^2-\log (4)\right) \log (4)\right)",1,"-Log[x]","A",1
7369,1,27,27,0.0936413,"\int \frac{2+4 x+e^x \left(-2-6 x-4 x^2\right)+\left(2048+1280 x+136 x^2+4 x^3+e^x \left(2048+1280 x+136 x^2+4 x^3\right)\right) \log (1+2 x)+\left(320+708 x+139 x^2+6 x^3+e^x \left(-192-636 x-535 x^2-63 x^3-2 x^4\right)\right) \log ^2(1+2 x)}{1+2 x+e^{2 x} (1+2 x)+e^x (2+4 x)} \, dx","Integrate[(2 + 4*x + E^x*(-2 - 6*x - 4*x^2) + (2048 + 1280*x + 136*x^2 + 4*x^3 + E^x*(2048 + 1280*x + 136*x^2 + 4*x^3))*Log[1 + 2*x] + (320 + 708*x + 139*x^2 + 6*x^3 + E^x*(-192 - 636*x - 535*x^2 - 63*x^3 - 2*x^4))*Log[1 + 2*x]^2)/(1 + 2*x + E^(2*x)*(1 + 2*x) + E^x*(2 + 4*x)),x]","\frac{(x+2) \left((x+16)^2 \log ^2(2 x+1)+2\right)}{e^x+1}","\frac{(x+2) \left((x+16)^2 \log ^2(2 x+1)+2\right)}{e^x+1}",1,"((2 + x)*(2 + (16 + x)^2*Log[1 + 2*x]^2))/(1 + E^x)","A",1
7370,1,19,16,0.1095498,"\int \frac{1}{4} \left(x^2\right)^{\frac{1}{4} (125 x+100 x \log (x))} \left(250+200 \log (x)+(225+100 \log (x)) \log \left(x^2\right)\right) \, dx","Integrate[((x^2)^((125*x + 100*x*Log[x])/4)*(250 + 200*Log[x] + (225 + 100*Log[x])*Log[x^2]))/4,x]","\left(x^2\right)^{125 x/4} x^{25 x \log \left(x^2\right)}","\left(x^2\right)^{25 \left(\frac{5 x}{4}+x \log (x)\right)}",1,"x^(25*x*Log[x^2])*(x^2)^((125*x)/4)","A",1
7371,1,38,24,0.1218332,"\int \frac{\log ^{2 x^2}(x) \left(5 x \log (2) \log ^2(3)+10 x \log (2) \log ^2(3) \log (x) \log (\log (x))\right)}{32 \log (x)+192 \log (3) \log ^{1+x^2}(x)+384 \log ^2(3) \log ^{1+2 x^2}(x)+256 \log ^3(3) \log ^{1+3 x^2}(x)} \, dx","Integrate[(Log[x]^(2*x^2)*(5*x*Log[2]*Log[3]^2 + 10*x*Log[2]*Log[3]^2*Log[x]*Log[Log[x]]))/(32*Log[x] + 192*Log[3]*Log[x]^(1 + x^2) + 384*Log[3]^2*Log[x]^(1 + 2*x^2) + 256*Log[3]^3*Log[x]^(1 + 3*x^2)),x]","-\frac{5 \log (2) \log ^2(3) \left(\log (81) \log ^{x^2}(x)+1\right)}{64 \log ^2(9) \left(\log (9) \log ^{x^2}(x)+1\right)^2}","\frac{5 \log (2)}{16 \left(\frac{2 \log ^{-x^2}(x)}{\log (3)}+4\right)^2}",1,"(-5*Log[2]*Log[3]^2*(1 + Log[81]*Log[x]^x^2))/(64*Log[9]^2*(1 + Log[9]*Log[x]^x^2)^2)","A",1
7372,1,19,25,0.0219712,"\int \frac{144 x+30 x^2+27 x^3+(-160-144 x) \log (-10-9 x)}{150 x^2+135 x^3} \, dx","Integrate[(144*x + 30*x^2 + 27*x^3 + (-160 - 144*x)*Log[-10 - 9*x])/(150*x^2 + 135*x^3),x]","\frac{1}{15} \left(3 x+\frac{16 \log (-9 x-10)}{x}\right)","\frac{1}{5} \left(x+\frac{16 (x+\log (x-5 (2 x+2)))}{3 x}\right)",1,"(3*x + (16*Log[-10 - 9*x])/x)/15","A",1
7373,1,23,23,0.2637971,"\int \frac{e^{-e^{-x} (-4+x)} \left(e^x (-4+x) \left(-25 x+5 x^2\right)+e^{2 x} \left(40-50 x+10 x^2\right)\right)}{-12 x^3+3 x^4} \, dx","Integrate[(E^x*(-4 + x)*(-25*x + 5*x^2) + E^(2*x)*(40 - 50*x + 10*x^2))/(E^((-4 + x)/E^x)*(-12*x^3 + 3*x^4)),x]","\frac{5 e^{2 x-e^{-x} (x-4)}}{3 x^2}","\frac{5 e^{2 x-e^{-x} (x-4)}}{3 x^2}",1,"(5*E^(-((-4 + x)/E^x) + 2*x))/(3*x^2)","A",1
7374,1,44,32,0.1579323,"\int \frac{540 x-315 x^2+50 x^3-25 x^4+e^x \left(-1125 x^2+1125 x^3-125 x^4+125 x^5\right)+\left(-90 x+45 x^2-10 x^3+5 x^4+e^x \left(450 x^2-450 x^3+50 x^4-50 x^5\right)\right) \log \left(\frac{9+x^2}{x^2}\right)+e^x \left(-45 x^2+45 x^3-5 x^4+5 x^5\right) \log ^2\left(\frac{9+x^2}{x^2}\right)}{27-54 x+30 x^2-6 x^3+3 x^4+e^x \left(-270 x+270 x^2-30 x^3+30 x^4\right)+e^{2 x} \left(675 x^2+75 x^4\right)+\left(e^{2 x} \left(-270 x^2-30 x^4\right)+e^x \left(54 x-54 x^2+6 x^3-6 x^4\right)\right) \log \left(\frac{9+x^2}{x^2}\right)+e^{2 x} \left(27 x^2+3 x^4\right) \log ^2\left(\frac{9+x^2}{x^2}\right)} \, dx","Integrate[(540*x - 315*x^2 + 50*x^3 - 25*x^4 + E^x*(-1125*x^2 + 1125*x^3 - 125*x^4 + 125*x^5) + (-90*x + 45*x^2 - 10*x^3 + 5*x^4 + E^x*(450*x^2 - 450*x^3 + 50*x^4 - 50*x^5))*Log[(9 + x^2)/x^2] + E^x*(-45*x^2 + 45*x^3 - 5*x^4 + 5*x^5)*Log[(9 + x^2)/x^2]^2)/(27 - 54*x + 30*x^2 - 6*x^3 + 3*x^4 + E^x*(-270*x + 270*x^2 - 30*x^3 + 30*x^4) + E^(2*x)*(675*x^2 + 75*x^4) + (E^(2*x)*(-270*x^2 - 30*x^4) + E^x*(54*x - 54*x^2 + 6*x^3 - 6*x^4))*Log[(9 + x^2)/x^2] + E^(2*x)*(27*x^2 + 3*x^4)*Log[(9 + x^2)/x^2]^2),x]","-\frac{5 x^2 \left(\log \left(\frac{9}{x^2}+1\right)-5\right)}{3 \left(e^x x \log \left(\frac{9}{x^2}+1\right)-\left(\left(5 e^x+1\right) x\right)+1\right)}","\frac{5 x}{3 \left(\frac{x-1}{x \left(\log \left(\frac{9}{x^2}+1\right)-5\right)}-e^x\right)}",1,"(-5*x^2*(-5 + Log[1 + 9/x^2]))/(3*(1 - (1 + 5*E^x)*x + E^x*x*Log[1 + 9/x^2]))","A",1
7375,1,14,14,0.0025332,"\int \frac{2-2 \log (x)}{-5 x^2+e^4 x^2} \, dx","Integrate[(2 - 2*Log[x])/(-5*x^2 + E^4*x^2),x]","\frac{2 \log (x)}{\left(e^4-5\right) x}","\frac{2 \log (x)}{\left(e^4-5\right) x}",1,"(2*Log[x])/((-5 + E^4)*x)","A",1
7376,1,32,31,0.0656551,"\int \frac{e^{2 x} \left(-150+400 x^2+310 x^3-574 x^4-740 x^5-16 x^6+310 x^7+100 x^8\right)+e^{2 x} \left(-300+50 x+400 x^2+110 x^3-360 x^4-200 x^5\right) \log (3+2 x)+e^{2 x} \left(-150+50 x+100 x^2\right) \log ^2(3+2 x)}{3 x^3+2 x^4} \, dx","Integrate[(E^(2*x)*(-150 + 400*x^2 + 310*x^3 - 574*x^4 - 740*x^5 - 16*x^6 + 310*x^7 + 100*x^8) + E^(2*x)*(-300 + 50*x + 400*x^2 + 110*x^3 - 360*x^4 - 200*x^5)*Log[3 + 2*x] + E^(2*x)*(-150 + 50*x + 100*x^2)*Log[3 + 2*x]^2)/(3*x^3 + 2*x^4),x]","\frac{e^{2 x} \left(-5 x^3+x^2+5 x+5 \log (2 x+3)+5\right)^2}{x^2}","e^{2 x} \left(\frac{5 \left(-x \left(x^2-1\right)+\log (2 x+3)+1\right)}{x}+x\right)^2",1,"(E^(2*x)*(5 + 5*x + x^2 - 5*x^3 + 5*Log[3 + 2*x])^2)/x^2","A",1
7377,1,11,13,0.001267,"\int \frac{16 e^3}{-1+4 x} \, dx","Integrate[(16*E^3)/(-1 + 4*x),x]","4 e^3 \log (4 x-1)","4 e^3 (\log (5-20 x)-3)",1,"4*E^3*Log[-1 + 4*x]","A",1
7378,1,33,28,0.2649224,"\int \frac{e^{\frac{-1-e^5}{-3 e^5 x+e^{5+e^4} x}} \left(-1+e^5 (-1-3 x)+e^{5+e^4} x\right)}{-3 e^5 x^3+e^{5+e^4} x^3+e^{\frac{2 \left(-1-e^5\right)}{-3 e^5 x+e^{5+e^4} x}} \left(-3 e^5 x+e^{5+e^4} x\right)+e^{\frac{-1-e^5}{-3 e^5 x+e^{5+e^4} x}} \left(-6 e^5 x^2+2 e^{5+e^4} x^2\right)} \, dx","Integrate[(E^((-1 - E^5)/(-3*E^5*x + E^(5 + E^4)*x))*(-1 + E^5*(-1 - 3*x) + E^(5 + E^4)*x))/(-3*E^5*x^3 + E^(5 + E^4)*x^3 + E^((2*(-1 - E^5))/(-3*E^5*x + E^(5 + E^4)*x))*(-3*E^5*x + E^(5 + E^4)*x) + E^((-1 - E^5)/(-3*E^5*x + E^(5 + E^4)*x))*(-6*E^5*x^2 + 2*E^(5 + E^4)*x^2)),x]","\frac{x}{x+e^{\frac{1+e^5}{3 e^5 x-e^{5+e^4} x}}}","\frac{x}{x+e^{\frac{1+\frac{1}{e^5}}{\left(3-e^{e^4}\right) x}}}",1,"x/(E^((1 + E^5)/(3*E^5*x - E^(5 + E^4)*x)) + x)","A",1
7379,1,25,25,0.6364298,"\int \frac{e^{-2 x} \left(-3 e^{2 x}+e^{6+e^{e^{-2 x} \left(3+e^4\right)}} \left(e^{2 x}+e^{e^{-2 x} \left(3+e^4\right)} \left(6 x+2 e^4 x\right)\right)\right)}{x^2} \, dx","Integrate[(-3*E^(2*x) + E^(6 + E^((3 + E^4)/E^(2*x)))*(E^(2*x) + E^((3 + E^4)/E^(2*x))*(6*x + 2*E^4*x)))/(E^(2*x)*x^2),x]","\frac{3-e^{e^{\left(3+e^4\right) e^{-2 x}}+6}}{x}","\frac{3-e^{e^{\left(3+e^4\right) e^{-2 x}}+6}}{x}",1,"(3 - E^(6 + E^((3 + E^4)/E^(2*x))))/x","A",1
7380,1,20,23,0.0093225,"\int \frac{-1+3 x-9 x^2-2 x^3+4 x^4}{x-2 x^2+x^3} \, dx","Integrate[(-1 + 3*x - 9*x^2 - 2*x^3 + 4*x^4)/(x - 2*x^2 + x^3),x]","2 x^2+6 x+\frac{5}{x-1}-\log (x)","(x+4) \left(\frac{x^2}{x-1}+x-3\right)-\log (2 x)",1,"5/(-1 + x) + 6*x + 2*x^2 - Log[x]","A",1
7381,1,19,20,0.1533389,"\int \frac{3 x \log ^5(x)+e^{\frac{2 \left(81-81 x^2\right)}{\log ^4(x)}} \left(-1944+1944 x^2-972 x^2 \log (x)\right)}{x \log ^5(x)} \, dx","Integrate[(3*x*Log[x]^5 + E^((2*(81 - 81*x^2))/Log[x]^4)*(-1944 + 1944*x^2 - 972*x^2*Log[x]))/(x*Log[x]^5),x]","3 e^{-\frac{162 \left(x^2-1\right)}{\log ^4(x)}}+3 x","3 \left(e^{\frac{162 \left(1-x^2\right)}{\log ^4(x)}}+x-1\right)",1,"3/E^((162*(-1 + x^2))/Log[x]^4) + 3*x","A",1
7382,1,29,21,0.0507785,"\int \frac{-80 x^3-40 x^4+e^x \left(-72+33 x+3 x^2\right)}{20 x^3} \, dx","Integrate[(-80*x^3 - 40*x^4 + E^x*(-72 + 33*x + 3*x^2))/(20*x^3),x]","-x^2+\frac{9 e^x}{5 x^2}-4 x+\frac{3 e^x}{20 x}","\frac{3 e^x (x+12)}{20 x^2}-x (x+4)+1",1,"(9*E^x)/(5*x^2) + (3*E^x)/(20*x) - 4*x - x^2","A",1
7383,1,22,25,0.1302927,"\int \frac{e^x \left(-5-15 x-10 x^2\right)+e^{8 x} \left(3 x+17 x^2+2 x^3\right)}{-5 e^x x+e^{8 x} x^2} \, dx","Integrate[(E^x*(-5 - 15*x - 10*x^2) + E^(8*x)*(3*x + 17*x^2 + 2*x^3))/(-5*E^x*x + E^(8*x)*x^2),x]","x^2+3 x+\log (x)+2 \log \left(5-e^{7 x} x\right)","x^2+x+\log \left(x \left(e^x-\frac{1}{5} e^{8 x} x\right)^2\right)+5",1,"3*x + x^2 + Log[x] + 2*Log[5 - E^(7*x)*x]","A",1
7384,1,56,34,0.3999035,"\int \frac{-144-240 x-144 x^2-40 x^3-12 x^4-6 x^5-x^6+e^{10+4 x} \left(-16+16 x+16 x^2\right)+e^{5+2 x} \left(-96-32 x+64 x^2+32 x^3\right)}{8 x^3+12 x^4+6 x^5+x^6} \, dx","Integrate[(-144 - 240*x - 144*x^2 - 40*x^3 - 12*x^4 - 6*x^5 - x^6 + E^(10 + 4*x)*(-16 + 16*x + 16*x^2) + E^(5 + 2*x)*(-96 - 32*x + 64*x^2 + 32*x^3))/(8*x^3 + 12*x^4 + 6*x^5 + x^6),x]","-\frac{x^5+7 x^4+16 x^3-4 x^2-48 x-4 e^{4 x+10}-8 e^{2 x+5} (2 x+3)-36}{x^2 (x+2)^2}","\left(\frac{2 \left(-\frac{e^{2 x+5}+3}{x}-x-4\right)}{x+2}+2\right)^2-x",1,"-((-36 - 4*E^(10 + 4*x) - 48*x - 4*x^2 + 16*x^3 + 7*x^4 + x^5 - 8*E^(5 + 2*x)*(3 + 2*x))/(x^2*(2 + x)^2))","A",1
7385,1,26,24,0.041586,"\int \frac{18 e+e^x \left(e (-12-12 x)+18 x+9 x^2\right)+6 e \log (5)}{2 e} \, dx","Integrate[(18*E + E^x*(E*(-12 - 12*x) + 18*x + 9*x^2) + 6*E*Log[5])/(2*E),x]","\frac{9}{2} e^{x-1} x^2-6 e^x x+9 x+x \log (125)","3 x \left(-e^x \left(2-\frac{3 x}{2 e}\right)+3+\log (5)\right)+1",1,"9*x - 6*E^x*x + (9*E^(-1 + x)*x^2)/2 + x*Log[125]","A",1
7386,1,29,25,0.0462413,"\int \frac{e^2+e^{2+x}+e^{e^{\frac{2 x}{e^2}}+\frac{2 x}{e^2}} \left(6+2 e^4\right)}{3 e^2+e^6} \, dx","Integrate[(E^2 + E^(2 + x) + E^(E^((2*x)/E^2) + (2*x)/E^2)*(6 + 2*E^4))/(3*E^2 + E^6),x]","\frac{x+e^x+\left(3+e^4\right) e^{e^{\frac{2 x}{e^2}}}}{3+e^4}","\frac{x+e^x}{3+e^4}+e^{e^{\frac{2 x}{e^2}}}+28",1,"(E^x + E^E^((2*x)/E^2)*(3 + E^4) + x)/(3 + E^4)","A",1
7387,1,58,33,0.1890444,"\int \frac{180 x^3-120 x^4 \log (3)+e^{2 x} \left(200 x-600 x^2+200 x^3 \log (3)\right)+e^x \left(360 x^2-120 x^3-180 x^4+\left(-200 x^3+60 x^4+60 x^5\right) \log (3)\right)+\left(-60 x^2+180 x^3-60 x^4 \log (3)+e^x \left(-200 x+700 x^2-300 x^3+\left(-200 x^3+100 x^4\right) \log (3)\right)\right) \log \left(1-3 x+x^2 \log (3)\right)}{9 x^2-27 x^3+9 x^4 \log (3)+e^{2 x} \left(25-75 x+25 x^2 \log (3)\right)+e^x \left(30 x-90 x^2+30 x^3 \log (3)\right)} \, dx","Integrate[(180*x^3 - 120*x^4*Log[3] + E^(2*x)*(200*x - 600*x^2 + 200*x^3*Log[3]) + E^x*(360*x^2 - 120*x^3 - 180*x^4 + (-200*x^3 + 60*x^4 + 60*x^5)*Log[3]) + (-60*x^2 + 180*x^3 - 60*x^4*Log[3] + E^x*(-200*x + 700*x^2 - 300*x^3 + (-200*x^3 + 100*x^4)*Log[3]))*Log[1 - 3*x + x^2*Log[3]])/(9*x^2 - 27*x^3 + 9*x^4*Log[3] + E^(2*x)*(25 - 75*x + 25*x^2*Log[3]) + E^x*(30*x - 90*x^2 + 30*x^3*Log[3])),x]","\frac{4 x^2 \left(x^2 \log (243)-15 x+5\right) \left(e^x-\log \left(x^2 \log (3)-3 x+1\right)\right)}{\left(3 x+5 e^x\right) \left(x^2 \log (3)-3 x+1\right)}","\frac{4 x \left(e^x-\log (x (x \log (3)-3)+1)\right)}{\frac{e^x}{x}+\frac{3}{5}}",1,"(4*x^2*(5 - 15*x + x^2*Log[243])*(E^x - Log[1 - 3*x + x^2*Log[3]]))/((5*E^x + 3*x)*(1 - 3*x + x^2*Log[3]))","A",1
7388,1,23,28,0.0096382,"\int \frac{1}{9} \left(18 x-27 x^2+2 x \log ^2(x)-4 x \log (x) \log \left(3 x+e^4 x\right)+2 x \log ^2\left(3 x+e^4 x\right)\right) \, dx","Integrate[(18*x - 27*x^2 + 2*x*Log[x]^2 - 4*x*Log[x]*Log[3*x + E^4*x] + 2*x*Log[3*x + E^4*x]^2)/9,x]","\frac{1}{9} x^2 \left(9+\log ^2\left(3+e^4\right)\right)-x^3","x^2 \left(-x+\frac{1}{9} \left(\log (x)-\log \left(\left(3+e^4\right) x\right)\right)^2+1\right)",1,"-x^3 + (x^2*(9 + Log[3 + E^4]^2))/9","A",1
7389,1,33,30,0.2035044,"\int \frac{60 x-11 x^2+5 x^4-x^5+\left(5+e^x-x\right) x^{2 x}+e^x \left(12 x-x^2+x^4\right)+x^x \left(31-6 x+10 x^2-2 x^3+e^x \left(5+2 x^2\right)+\left(30+6 e^x-6 x\right) \log (x)\right)+\log \left(-\frac{3}{5+e^x-x}\right) \left(-10 x-2 e^x x+2 x^2+x^x \left(-5-e^x+x+\left(-5-e^x+x\right) \log (x)\right)\right)}{5 x^4+e^x x^4-x^5+\left(5+e^x-x\right) x^{2 x}+x^x \left(10 x^2+2 e^x x^2-2 x^3\right)} \, dx","Integrate[(60*x - 11*x^2 + 5*x^4 - x^5 + (5 + E^x - x)*x^(2*x) + E^x*(12*x - x^2 + x^4) + x^x*(31 - 6*x + 10*x^2 - 2*x^3 + E^x*(5 + 2*x^2) + (30 + 6*E^x - 6*x)*Log[x]) + Log[-3/(5 + E^x - x)]*(-10*x - 2*E^x*x + 2*x^2 + x^x*(-5 - E^x + x + (-5 - E^x + x)*Log[x])))/(5*x^4 + E^x*x^4 - x^5 + (5 + E^x - x)*x^(2*x) + x^x*(10*x^2 + 2*E^x*x^2 - 2*x^3)),x]","\frac{x^{x+1}+x^3+\log \left(-\frac{3}{-x+e^x+5}\right)-6}{x^x+x^2}","x-\frac{6-\log \left(\frac{3}{x-e^x-5}\right)}{x^x+x^2}",1,"(-6 + x^3 + x^(1 + x) + Log[-3/(5 + E^x - x)])/(x^2 + x^x)","A",1
7390,1,17,26,0.0335186,"\int \frac{59049 e^{-18+e^x} \left(-4+4 e^x x \log (x)+4 e^x x \log ^2(x)\right)}{x \log ^2(x)} \, dx","Integrate[(59049*E^(-18 + E^x)*(-4 + 4*E^x*x*Log[x] + 4*E^x*x*Log[x]^2))/(x*Log[x]^2),x]","\frac{236196 e^{e^x-18} (\log (x)+1)}{\log (x)}","e^{5 \left(\frac{1}{5} \left(e^x+2\right)-4+\log (9)\right)} \left(\frac{4}{\log (x)}+4\right)",1,"(236196*E^(-18 + E^x)*(1 + Log[x]))/Log[x]","A",1
7391,1,22,26,0.9292477,"\int \frac{64^x \log ^{-1+x}\left(25+50 x+25 x^2+e^{e^x} \left(-10-20 x-10 x^2\right)+e^{2 e^x} \left(1+2 x+x^2\right)\right) \left(-10 x+e^{e^x} \left(2 x+e^x \left(2 x+2 x^2\right)\right)+\left(-5-5 x+e^{e^x} (1+x)\right) \log \left(25+50 x+25 x^2+e^{e^x} \left(-10-20 x-10 x^2\right)+e^{2 e^x} \left(1+2 x+x^2\right)\right) \log \left(64 \log \left(25+50 x+25 x^2+e^{e^x} \left(-10-20 x-10 x^2\right)+e^{2 e^x} \left(1+2 x+x^2\right)\right)\right)\right)}{-5-5 x+e^{e^x} (1+x)} \, dx","Integrate[(64^x*Log[25 + 50*x + 25*x^2 + E^E^x*(-10 - 20*x - 10*x^2) + E^(2*E^x)*(1 + 2*x + x^2)]^(-1 + x)*(-10*x + E^E^x*(2*x + E^x*(2*x + 2*x^2)) + (-5 - 5*x + E^E^x*(1 + x))*Log[25 + 50*x + 25*x^2 + E^E^x*(-10 - 20*x - 10*x^2) + E^(2*E^x)*(1 + 2*x + x^2)]*Log[64*Log[25 + 50*x + 25*x^2 + E^E^x*(-10 - 20*x - 10*x^2) + E^(2*E^x)*(1 + 2*x + x^2)]]))/(-5 - 5*x + E^E^x*(1 + x)),x]","64^x \log ^x\left(\left(e^{e^x}-5\right)^2 (x+1)^2\right)","64^x \log ^x\left(\left(5-e^{e^x}\right)^2 (x+1)^2\right)+2",1,"64^x*Log[(-5 + E^E^x)^2*(1 + x)^2]^x","A",1
7392,1,21,21,0.0075356,"\int \frac{4 e^{-3-x} (-1-x) \log ^2(2) \log ^2(\log (2))}{x^2} \, dx","Integrate[(4*E^(-3 - x)*(-1 - x)*Log[2]^2*Log[Log[2]]^2)/x^2,x]","\frac{4 e^{-x-3} \log ^2(2) \log ^2(\log (2))}{x}","\frac{4 e^{-x-3} \log ^2(2) \log ^2(\log (2))}{x}",1,"(4*E^(-3 - x)*Log[2]^2*Log[Log[2]]^2)/x","A",1
7393,1,19,21,0.0552052,"\int \frac{20 e^{-25+5 x} \log \left(7-2 e^{-25+5 x}\right)}{63-18 e^{-25+5 x}+\left(-7+2 e^{-25+5 x}\right) \log ^2\left(7-2 e^{-25+5 x}\right)} \, dx","Integrate[(20*E^(-25 + 5*x)*Log[7 - 2*E^(-25 + 5*x)])/(63 - 18*E^(-25 + 5*x) + (-7 + 2*E^(-25 + 5*x))*Log[7 - 2*E^(-25 + 5*x)]^2),x]","\log \left(9-\log ^2\left(7-2 e^{5 x-25}\right)\right)","\log \left(4 \left(\log ^2\left(1-2 \left(e^{5 (x-5)}-3\right)\right)-9\right)\right)",1,"Log[9 - Log[7 - 2*E^(-25 + 5*x)]^2]","A",1
7394,1,6,7,0.0005277,"\int \frac{1-x}{x} \, dx","Integrate[(1 - x)/x,x]","\log (x)-x","-x+\log (x)-1",1,"-x + Log[x]","A",1
7395,1,30,30,0.3112256,"\int \frac{-18 x+9 x \log (3 x)-e^{3-\frac{1}{3} e^{\frac{e^3 x}{3}}+\frac{e^3 x}{3}} x \log ^3(3 x)+\left(-9 x \log (3 x)-9 e^{-\frac{1}{3} e^{\frac{e^3 x}{3}}} \log ^3(3 x)\right) \log \left(\frac{x+e^{-\frac{1}{3} e^{\frac{e^3 x}{3}}} \log ^2(3 x)}{\log ^2(3 x)}\right)}{9 x^3 \log (3 x)+9 e^{-\frac{1}{3} e^{\frac{e^3 x}{3}}} x^2 \log ^3(3 x)} \, dx","Integrate[(-18*x + 9*x*Log[3*x] - E^(3 - E^((E^3*x)/3)/3 + (E^3*x)/3)*x*Log[3*x]^3 + (-9*x*Log[3*x] - (9*Log[3*x]^3)/E^(E^((E^3*x)/3)/3))*Log[(x + Log[3*x]^2/E^(E^((E^3*x)/3)/3))/Log[3*x]^2])/(9*x^3*Log[3*x] + (9*x^2*Log[3*x]^3)/E^(E^((E^3*x)/3)/3)),x]","\frac{\log \left(e^{-\frac{1}{3} e^{\frac{e^3 x}{3}}}+\frac{x}{\log ^2(3 x)}\right)}{x}","\frac{\log \left(e^{-\frac{1}{3} e^{\frac{e^3 x}{3}}}+\frac{x}{\log ^2(3 x)}\right)}{x}",1,"Log[E^(-1/3*E^((E^3*x)/3)) + x/Log[3*x]^2]/x","A",1
7396,1,42,30,0.2763364,"\int \frac{-32+e^x (-72+8 x) \log (x)+e^x \left(64 x-8 x^2\right) \log ^2(x)+\left(-e^{30}+e^{2 x} \left(144 x-34 x^2+2 x^3\right)\right) \log ^3(x)}{e^{30} x \log ^3(x)} \, dx","Integrate[(-32 + E^x*(-72 + 8*x)*Log[x] + E^x*(64*x - 8*x^2)*Log[x]^2 + (-E^30 + E^(2*x)*(144*x - 34*x^2 + 2*x^3))*Log[x]^3)/(E^30*x*Log[x]^3),x]","-\frac{-e^{2 x} (x-9)^2-\frac{16}{\log ^2(x)}+\frac{8 e^x (x-9)}{\log (x)}+e^{30} \log (x)}{e^{30}}","\frac{\left(e^x (9-x)+\frac{4}{\log (x)}\right)^2}{e^{30}}-\log (3 x)+3",1,"-((-(E^(2*x)*(-9 + x)^2) - 16/Log[x]^2 + (8*E^x*(-9 + x))/Log[x] + E^30*Log[x])/E^30)","A",1
7397,1,24,26,0.2236696,"\int \frac{5 e^4 x-15 x^3+e^{-5+x} \left(45+15 e^4 x-15 x^3\right)+\left(15+5 e^4 x-5 x^3\right) \log \left(-3-e^4 x+x^3\right)}{3+e^4 x-x^3} \, dx","Integrate[(5*E^4*x - 15*x^3 + E^(-5 + x)*(45 + 15*E^4*x - 15*x^3) + (15 + 5*E^4*x - 5*x^3)*Log[-3 - E^4*x + x^3])/(3 + E^4*x - x^3),x]","5 \left(x \log \left(x^3-e^4 x-3\right)+3 e^{x-5}\right)","5 \left(x \log \left(x \left(x^2-e^4\right)-3\right)+3 e^{x-5}\right)",1,"5*(3*E^(-5 + x) + x*Log[-3 - E^4*x + x^3])","A",1
7398,1,15,18,0.002194,"\int \frac{125+125 x^2-125 \log (x)}{2 x^2} \, dx","Integrate[(125 + 125*x^2 - 125*Log[x])/(2*x^2),x]","\frac{125 x}{2}+\frac{125 \log (x)}{2 x}","\frac{1}{2} \left(\frac{125 \left(x^2+\log (x)\right)}{x}+\log (3)\right)",1,"(125*x)/2 + (125*Log[x])/(2*x)","A",1
7399,1,6,14,0.0006682,"\int \frac{1-3 x}{x} \, dx","Integrate[(1 - 3*x)/x,x]","\log (x)-3 x","-3 x+\log (2 x)+e+4-\log (3)",1,"-3*x + Log[x]","A",1
7400,1,19,22,0.0965449,"\int \frac{-6-2 \sqrt[5]{e}+\sqrt[5]{e} \log (-x)}{-864+432 \sqrt[5]{e} \log (-x)-72 e^{2/5} \log ^2(-x)+4 e^{3/5} \log ^3(-x)} \, dx","Integrate[(-6 - 2*E^(1/5) + E^(1/5)*Log[-x])/(-864 + 432*E^(1/5)*Log[-x] - 72*E^(2/5)*Log[-x]^2 + 4*E^(3/5)*Log[-x]^3),x]","\frac{x}{4 \left(\sqrt[5]{e} \log (-x)-6\right)^2}","\frac{x}{4 \left(6-\sqrt[5]{e} \log (-x)\right)^2}-1",1,"x/(4*(-6 + E^(1/5)*Log[-x])^2)","A",1
7401,1,24,30,0.0124847,"\int \frac{32+4 x^2-29 x^3+x^5+8 x^6}{32 x-32 x^4+8 x^7} \, dx","Integrate[(32 + 4*x^2 - 29*x^3 + x^5 + 8*x^6)/(32*x - 32*x^4 + 8*x^7),x]","\frac{1}{8} \left(\frac{-x^2-1}{x^3-2}+8 \log (x)\right)","\frac{x+2}{16 \left(\frac{2}{x^2}-x\right)}-\log \left(\frac{3}{x}\right)+4+\log (75)",1,"((-1 - x^2)/(-2 + x^3) + 8*Log[x])/8","A",1
7402,1,46,34,0.5209621,"\int \frac{e^{12} \left(128-320 x+352 x^2-240 x^3+120 x^4-44 x^5+10 x^6-x^7\right)+\exp \left(\frac{1+4 e^3 x+e^6 \left(-8 x+14 x^2-2 x^3\right)+e^9 \left(-16 x^2+20 x^3-4 x^4\right)+e^{12} \left(16 x^2-40 x^3+33 x^4-10 x^5+x^6\right)}{e^{12} \left(16-32 x+24 x^2-8 x^3+x^4\right)}\right) \left(-4 x+e^3 \left(-8 x-12 x^2\right)+e^6 \left(16 x-32 x^2-16 x^3+2 x^4\right)+e^9 \left(64 x^2-88 x^3+12 x^4\right)+e^{12} \left(32-80 x+16 x^2+168 x^3-214 x^4+99 x^5-22 x^6+2 x^7\right)\right)}{e^{12} \left(-32 x^2+80 x^3-80 x^4+40 x^5-10 x^6+x^7\right)} \, dx","Integrate[(E^12*(128 - 320*x + 352*x^2 - 240*x^3 + 120*x^4 - 44*x^5 + 10*x^6 - x^7) + E^((1 + 4*E^3*x + E^6*(-8*x + 14*x^2 - 2*x^3) + E^9*(-16*x^2 + 20*x^3 - 4*x^4) + E^12*(16*x^2 - 40*x^3 + 33*x^4 - 10*x^5 + x^6))/(E^12*(16 - 32*x + 24*x^2 - 8*x^3 + x^4)))*(-4*x + E^3*(-8*x - 12*x^2) + E^6*(16*x - 32*x^2 - 16*x^3 + 2*x^4) + E^9*(64*x^2 - 88*x^3 + 12*x^4) + E^12*(32 - 80*x + 16*x^2 + 168*x^3 - 214*x^4 + 99*x^5 - 22*x^6 + 2*x^7)))/(E^12*(-32*x^2 + 80*x^3 - 80*x^4 + 40*x^5 - 10*x^6 + x^7)),x]","\frac{\exp \left(\frac{\left(-e^6 \left(x^2-5 x+4\right) x+2 e^3 x+1\right)^2}{e^{12} (x-2)^4}\right)-x^2+4}{x}","\frac{-x^2-2 x+e^{\left(x-\frac{\left(x+\frac{1}{e^3}\right)^2}{(x-2)^2}\right)^2}+4}{x}",1,"(4 + E^((1 + 2*E^3*x - E^6*x*(4 - 5*x + x^2))^2/(E^12*(-2 + x)^4)) - x^2)/x","A",1
7403,1,45,28,0.0658032,"\int \frac{-15-x-16 x^2-60 x^3+12 x^4-128 x^5+64 x^7-256 x^8+\left(15+10 x+3 x^2+240 x^3+100 x^4+24 x^5+48 x^8\right) \log (x)+\left(-5-80 x^3\right) \log ^2(x)}{9 x^2+6 x^3+x^4+72 x^5+48 x^6+8 x^7+144 x^8+96 x^9+16 x^{10}+\left(-6 x^2-2 x^3-48 x^5-16 x^6-96 x^8-32 x^9\right) \log (x)+\left(x^2+8 x^5+16 x^8\right) \log ^2(x)} \, dx","Integrate[(-15 - x - 16*x^2 - 60*x^3 + 12*x^4 - 128*x^5 + 64*x^7 - 256*x^8 + (15 + 10*x + 3*x^2 + 240*x^3 + 100*x^4 + 24*x^5 + 48*x^8)*Log[x] + (-5 - 80*x^3)*Log[x]^2)/(9*x^2 + 6*x^3 + x^4 + 72*x^5 + 48*x^6 + 8*x^7 + 144*x^8 + 96*x^9 + 16*x^10 + (-6*x^2 - 2*x^3 - 48*x^5 - 16*x^6 - 96*x^8 - 32*x^9)*Log[x] + (x^2 + 8*x^5 + 16*x^8)*Log[x]^2),x]","-\frac{x \left(12 x^4-16 x^3+3 x-4\right)+5 \log (x)}{x \left(4 x^3+1\right) (x-\log (x)+3)}","\frac{\frac{5 \log (x)}{4 x^4+x}+3 x-4}{-x+\log (x)-3}",1,"-((x*(-4 + 3*x - 16*x^3 + 12*x^4) + 5*Log[x])/(x*(1 + 4*x^3)*(3 + x - Log[x])))","A",1
7404,1,18,19,0.0068505,"\int \frac{-1-5 e^x x^2-10 x^3}{5 x^2} \, dx","Integrate[(-1 - 5*E^x*x^2 - 10*x^3)/(5*x^2),x]","-x^2-e^x+\frac{1}{5 x}","-x^2-e^x+\frac{1}{5 x}+3",1,"-E^x + 1/(5*x) - x^2","A",1
7405,1,13,13,0.018437,"\int \frac{-4 x+(-3+4 x) \log \left(\frac{1}{3} (-3+4 x)\right)}{-3 x^2+4 x^3} \, dx","Integrate[(-4*x + (-3 + 4*x)*Log[(-3 + 4*x)/3])/(-3*x^2 + 4*x^3),x]","-\frac{\log \left(\frac{4 x}{3}-1\right)}{x}","-\frac{\log \left(\frac{4 x}{3}-1\right)}{x}",1,"-(Log[-1 + (4*x)/3]/x)","A",1
7406,1,21,25,0.6141271,"\int \frac{-32+(32-2 x) \log (x)+\left(2 x \log (x)-32 \log (x) \log \left(\frac{x}{\log (x)}\right)\right) \log \left(-x+16 \log \left(\frac{x}{\log (x)}\right)\right)}{-x^3 \log (x)+16 x^2 \log (x) \log \left(\frac{x}{\log (x)}\right)+\left(-2 x^2 \log (x)+32 x \log (x) \log \left(\frac{x}{\log (x)}\right)\right) \log \left(-x+16 \log \left(\frac{x}{\log (x)}\right)\right)+\left(-x \log (x)+16 \log (x) \log \left(\frac{x}{\log (x)}\right)\right) \log ^2\left(-x+16 \log \left(\frac{x}{\log (x)}\right)\right)} \, dx","Integrate[(-32 + (32 - 2*x)*Log[x] + (2*x*Log[x] - 32*Log[x]*Log[x/Log[x]])*Log[-x + 16*Log[x/Log[x]]])/(-(x^3*Log[x]) + 16*x^2*Log[x]*Log[x/Log[x]] + (-2*x^2*Log[x] + 32*x*Log[x]*Log[x/Log[x]])*Log[-x + 16*Log[x/Log[x]]] + (-(x*Log[x]) + 16*Log[x]*Log[x/Log[x]])*Log[-x + 16*Log[x/Log[x]]]^2),x]","-\frac{2 x}{x+\log \left(16 \log \left(\frac{x}{\log (x)}\right)-x\right)}","-\frac{2 x}{x+\log \left(16 \log \left(\frac{x}{\log (x)}\right)-x\right)}-5+\log (5)",1,"(-2*x)/(x + Log[-x + 16*Log[x/Log[x]]])","A",1
7407,1,24,26,0.1809564,"\int \frac{x^{\frac{4}{-2 x+\log ^4\left(3+e^{3-x}\right)}} \left(-24 x-8 e^{3-x} x+\left(12+4 e^{3-x}\right) \log ^4\left(3+e^{3-x}\right)+\left(24 x+8 e^{3-x} x\right) \log (x)+16 e^{3-x} x \log ^3\left(3+e^{3-x}\right) \log (x)\right)}{12 x^3+4 e^{3-x} x^3+\left(-12 x^2-4 e^{3-x} x^2\right) \log ^4\left(3+e^{3-x}\right)+\left(3 x+e^{3-x} x\right) \log ^8\left(3+e^{3-x}\right)} \, dx","Integrate[(x^(4/(-2*x + Log[3 + E^(3 - x)]^4))*(-24*x - 8*E^(3 - x)*x + (12 + 4*E^(3 - x))*Log[3 + E^(3 - x)]^4 + (24*x + 8*E^(3 - x)*x)*Log[x] + 16*E^(3 - x)*x*Log[3 + E^(3 - x)]^3*Log[x]))/(12*x^3 + 4*E^(3 - x)*x^3 + (-12*x^2 - 4*E^(3 - x)*x^2)*Log[3 + E^(3 - x)]^4 + (3*x + E^(3 - x)*x)*Log[3 + E^(3 - x)]^8),x]","x^{-\frac{4}{2 x-\log ^4\left(e^{3-x}+3\right)}}","x^{\frac{2}{\frac{1}{2} \log ^4\left(e^{3-x}+3\right)-x}}",1,"x^(-4/(2*x - Log[3 + E^(3 - x)]^4))","A",1
7408,1,8,20,0.0086833,"\int e^x (-2-x) \, dx","Integrate[E^x*(-2 - x),x]","-e^x (x+1)","x-\left(e^x+1\right) (x+1)-\frac{e^2}{5}-10",1,"-(E^x*(1 + x))","A",1
7409,1,12,24,0.0045177,"\int -\frac{8 x}{5 x^4+10 x^2 \log (3)+5 \log ^2(3)} \, dx","Integrate[(-8*x)/(5*x^4 + 10*x^2*Log[3] + 5*Log[3]^2),x]","\frac{4}{5 \left(x^2+\log (3)\right)}","\frac{4}{5 x \left(x+\frac{\log (3)}{x}\right)}+\frac{\log (5)}{4}",1,"4/(5*(x^2 + Log[3]))","A",1
7410,1,20,22,0.6179459,"\int \frac{\exp \left(\frac{4 e^{2 \log ^2\left(x^2\right)} (1-x)}{x^2}+2 \log ^2\left(x^2\right)\right) \left(-8+4 x+(32-32 x) \log \left(x^2\right)\right)}{x^3} \, dx","Integrate[(E^((4*E^(2*Log[x^2]^2)*(1 - x))/x^2 + 2*Log[x^2]^2)*(-8 + 4*x + (32 - 32*x)*Log[x^2]))/x^3,x]","e^{-\frac{4 (x-1) e^{2 \log ^2\left(x^2\right)}}{x^2}}","e^{\frac{4 (1-x) e^{2 \log ^2\left(x^2\right)}}{x^2}}",1,"E^((-4*E^(2*Log[x^2]^2)*(-1 + x))/x^2)","A",1
7411,1,41,33,0.1912772,"\int \frac{\exp \left(\frac{3 x^3-e^{x^2} x^3+x^4-x^3 \log (x)}{-3+3 x}\right) \left(-8 x^2+x^3+3 x^4+e^{x^2} \left(3 x^2-2 x^3+2 x^4-2 x^5\right)+\left(3 x^2-2 x^3\right) \log (x)\right)}{15-30 x+15 x^2} \, dx","Integrate[(E^((3*x^3 - E^x^2*x^3 + x^4 - x^3*Log[x])/(-3 + 3*x))*(-8*x^2 + x^3 + 3*x^4 + E^x^2*(3*x^2 - 2*x^3 + 2*x^4 - 2*x^5) + (3*x^2 - 2*x^3)*Log[x]))/(15 - 30*x + 15*x^2),x]","\frac{1}{5} e^{\frac{x^3 \left(-e^{x^2}+x+3\right)}{3 (x-1)}} x^{\frac{x^3}{3-3 x}}","\frac{1}{5} e^{\frac{x^2 \left(-e^{x^2}+x-\log (x)+3\right)}{3-\frac{3}{x}}}",1,"(E^((x^3*(3 - E^x^2 + x))/(3*(-1 + x)))*x^(x^3/(3 - 3*x)))/5","A",1
7412,1,29,25,0.2604569,"\int \frac{-45 x-78 x^2-48 x^3-12 x^4-x^5+\left(-45-51 x-21 x^2-3 x^3\right) \log \left(5+4 x+x^2\right)+\left(-15 x^2-12 x^3-3 x^4+\left(-15 x-12 x^2-3 x^3\right) \log \left(5+4 x+x^2\right)+\left(5 x^3+4 x^4+x^5+\left(5 x^2+4 x^3+x^4\right) \log \left(5+4 x+x^2\right)\right) \log \left(x+\log \left(5+4 x+x^2\right)\right)\right) \log \left(\frac{-3+x \log \left(x+\log \left(5+4 x+x^2\right)\right)}{x}\right) \log \left(\log \left(\frac{-3+x \log \left(x+\log \left(5+4 x+x^2\right)\right)}{x}\right)\right)}{\left(-15 x^2-12 x^3-3 x^4+\left(-15 x-12 x^2-3 x^3\right) \log \left(5+4 x+x^2\right)+\left(5 x^3+4 x^4+x^5+\left(5 x^2+4 x^3+x^4\right) \log \left(5+4 x+x^2\right)\right) \log \left(x+\log \left(5+4 x+x^2\right)\right)\right) \log \left(\frac{-3+x \log \left(x+\log \left(5+4 x+x^2\right)\right)}{x}\right) \log ^2\left(\log \left(\frac{-3+x \log \left(x+\log \left(5+4 x+x^2\right)\right)}{x}\right)\right)} \, dx","Integrate[(-45*x - 78*x^2 - 48*x^3 - 12*x^4 - x^5 + (-45 - 51*x - 21*x^2 - 3*x^3)*Log[5 + 4*x + x^2] + (-15*x^2 - 12*x^3 - 3*x^4 + (-15*x - 12*x^2 - 3*x^3)*Log[5 + 4*x + x^2] + (5*x^3 + 4*x^4 + x^5 + (5*x^2 + 4*x^3 + x^4)*Log[5 + 4*x + x^2])*Log[x + Log[5 + 4*x + x^2]])*Log[(-3 + x*Log[x + Log[5 + 4*x + x^2]])/x]*Log[Log[(-3 + x*Log[x + Log[5 + 4*x + x^2]])/x]])/((-15*x^2 - 12*x^3 - 3*x^4 + (-15*x - 12*x^2 - 3*x^3)*Log[5 + 4*x + x^2] + (5*x^3 + 4*x^4 + x^5 + (5*x^2 + 4*x^3 + x^4)*Log[5 + 4*x + x^2])*Log[x + Log[5 + 4*x + x^2]])*Log[(-3 + x*Log[x + Log[5 + 4*x + x^2]])/x]*Log[Log[(-3 + x*Log[x + Log[5 + 4*x + x^2]])/x]]^2),x]","-\frac{-x-3}{\log \left(\log \left(\log \left(\log \left(x^2+4 x+5\right)+x\right)-\frac{3}{x}\right)\right)}","\frac{x+3}{\log \left(\log \left(\log (x+\log (x (x+4)+5))-\frac{3}{x}\right)\right)}",1,"-((-3 - x)/Log[Log[-3/x + Log[x + Log[5 + 4*x + x^2]]]])","A",1
7413,1,56,27,0.1567798,"\int \frac{-24+20 x-9 x^2+5 x^3-x^4+\left(6 x-5 x^2+x^3\right) \log \left(\frac{e^{-\frac{-4+x^2}{x}} (15-5 x)}{-6+3 x}\right)}{6 x-5 x^2+x^3} \, dx","Integrate[(-24 + 20*x - 9*x^2 + 5*x^3 - x^4 + (6*x - 5*x^2 + x^3)*Log[(15 - 5*x)/(E^((-4 + x^2)/x)*(-6 + 3*x))])/(6*x - 5*x^2 + x^3),x]","-2 \log (2-x)+3 \log (3-x)-3 \log (x-3)+x \log \left(-\frac{5 e^{\frac{4}{x}-x} (x-3)}{3 (x-2)}\right)+2 \log (x-2)-4","x \log \left(\frac{5 e^{-\frac{x^2-4}{x}} (x-3)}{6-3 x}\right)",1,"-4 - 2*Log[2 - x] + 3*Log[3 - x] - 3*Log[-3 + x] + x*Log[(-5*E^(4/x - x)*(-3 + x))/(3*(-2 + x))] + 2*Log[-2 + x]","B",1
7414,1,36,30,6.1866238,"\int \frac{\exp \left(\frac{2 \left(4 x^2+x^3+\log \left(\frac{15}{40+3 e^x}\right)\right)}{4 x^2+x^3}\right) \left(e^x \left(-24 x-6 x^2\right)+\left(-640+e^x (-48-18 x)-240 x\right) \log \left(\frac{15}{40+3 e^x}\right)\right)}{640 x^3+320 x^4+40 x^5+e^x \left(48 x^3+24 x^4+3 x^5\right)} \, dx","Integrate[(E^((2*(4*x^2 + x^3 + Log[15/(40 + 3*E^x)]))/(4*x^2 + x^3))*(E^x*(-24*x - 6*x^2) + (-640 + E^x*(-48 - 18*x) - 240*x)*Log[15/(40 + 3*E^x)]))/(640*x^3 + 320*x^4 + 40*x^5 + E^x*(48*x^3 + 24*x^4 + 3*x^5)),x]","e^2 15^{\frac{2}{x^2 (x+4)}} \left(\frac{1}{3 e^x+40}\right)^{\frac{2}{x^2 (x+4)}}","e^{\frac{2 \left(x+\frac{\log \left(\frac{5}{e^x+\frac{40}{3}}\right)}{(x+4) x}\right)}{x}}",1,"15^(2/(x^2*(4 + x)))*E^2*((40 + 3*E^x)^(-1))^(2/(x^2*(4 + x)))","A",1
7415,1,46,32,1.8346508,"\int \frac{e^{-e^2} \left(e^{e^2} \left(36 x^3+12 x^5+x^7\right)+\exp \left(\frac{e^{-e^2} \left(-4-x^2+6 x^3+x^5\right)}{6 x^2+x^4}\right) \left(48+16 x^2+36 x^3+2 x^4+12 x^5+x^7\right)\right)}{36 x^3+12 x^5+x^7} \, dx","Integrate[(E^E^2*(36*x^3 + 12*x^5 + x^7) + E^((-4 - x^2 + 6*x^3 + x^5)/(E^E^2*(6*x^2 + x^4)))*(48 + 16*x^2 + 36*x^3 + 2*x^4 + 12*x^5 + x^7))/(E^E^2*(36*x^3 + 12*x^5 + x^7)),x]","\exp \left(-\frac{e^{-e^2}}{3 \left(x^2+6\right)}-\frac{2 e^{-e^2}}{3 x^2}+e^{-e^2} x\right)+x","e^{e^{-e^2} \left(x-\frac{1}{x^2 \left(\frac{2}{x^2+4}+1\right)}\right)}+x",1,"E^(-2/(3*E^E^2*x^2) + x/E^E^2 - 1/(3*E^E^2*(6 + x^2))) + x","A",1
7416,1,24,24,0.0600025,"\int \frac{e^{4+\frac{e^4-\log \left(4 e^{5+x}\right)}{\log \left(4 e^{5+x}\right)}}-36 \log ^2\left(4 e^{5+x}\right)}{\log ^2\left(4 e^{5+x}\right)} \, dx","Integrate[(E^(4 + (E^4 - Log[4*E^(5 + x)])/Log[4*E^(5 + x)]) - 36*Log[4*E^(5 + x)]^2)/Log[4*E^(5 + x)]^2,x]","-36 x-e^{\frac{e^4}{\log \left(4 e^{x+5}\right)}-1}","-36 x-e^{\frac{e^4}{\log \left(4 e^{x+5}\right)}-1}",1,"-E^(-1 + E^4/Log[4*E^(5 + x)]) - 36*x","A",1
7417,1,24,19,0.4930908,"\int \frac{-4 x^2+e^{\frac{25+1250 x+15675 x^2+1250 x^3+25 x^4}{x^2}} \left(-50-1250 x+1250 x^3+50 x^4\right) \log ^2(x)}{x^3 \log ^2(x)} \, dx","Integrate[(-4*x^2 + E^((25 + 1250*x + 15675*x^2 + 1250*x^3 + 25*x^4)/x^2)*(-50 - 1250*x + 1250*x^3 + 50*x^4)*Log[x]^2)/(x^3*Log[x]^2),x]","e^{\frac{25 \left(x^2+25 x+1\right)^2}{x^2}}+\frac{4}{\log (x)}","e^{25 \left(x+\frac{1}{x}+25\right)^2}+\frac{4}{\log (x)}",1,"E^((25*(1 + 25*x + x^2)^2)/x^2) + 4/Log[x]","A",1
7418,1,20,23,0.1662024,"\int \frac{-x^2+50 x^3+e^{4+2 x} (-1+50 x)+e^{2+x} \left(-1+3 x-100 x^2\right)}{e^{4+2 x}-2 e^{2+x} x+x^2} \, dx","Integrate[(-x^2 + 50*x^3 + E^(4 + 2*x)*(-1 + 50*x) + E^(2 + x)*(-1 + 3*x - 100*x^2))/(E^(4 + 2*x) - 2*E^(2 + x)*x + x^2),x]","x \left(25 x-\frac{1}{e^{x+2}-x}-1\right)","25 x^2+\frac{x}{x-e^{x+2}}-x+2",1,"x*(-1 - (E^(2 + x) - x)^(-1) + 25*x)","A",1
7419,1,19,23,0.1490123,"\int \frac{-240+264 x+(48-48 x) \log (x)+(-12+12 x) \log \left(\frac{2}{1-2 x+x^2}\right)}{-256+256 x+(-16+16 x) \log ^2(x)+(-32+32 x) \log \left(\frac{2}{1-2 x+x^2}\right)+(-1+x) \log ^2\left(\frac{2}{1-2 x+x^2}\right)+\log (x) \left(128-128 x+(8-8 x) \log \left(\frac{2}{1-2 x+x^2}\right)\right)} \, dx","Integrate[(-240 + 264*x + (48 - 48*x)*Log[x] + (-12 + 12*x)*Log[2/(1 - 2*x + x^2)])/(-256 + 256*x + (-16 + 16*x)*Log[x]^2 + (-32 + 32*x)*Log[2/(1 - 2*x + x^2)] + (-1 + x)*Log[2/(1 - 2*x + x^2)]^2 + Log[x]*(128 - 128*x + (8 - 8*x)*Log[2/(1 - 2*x + x^2)])),x]","\frac{12 x}{\log \left(\frac{2}{(x-1)^2}\right)-4 \log (x)+16}","\frac{3 x}{\frac{1}{4} \log \left(\frac{2}{(x-1)^2}\right)-\log (x)+4}",1,"(12*x)/(16 + Log[2/(-1 + x)^2] - 4*Log[x])","A",1
7420,1,20,21,0.0399331,"\int \left(64 x \log (x)+64 x \log ^2(x)\right) \log \left(e^{16 x^2 \log ^2(x)} (25-5 \log (4))\right) \, dx","Integrate[(64*x*Log[x] + 64*x*Log[x]^2)*Log[E^(16*x^2*Log[x]^2)*(25 - 5*Log[4])],x]","\log ^2\left(-5 (\log (4)-5) e^{16 x^2 \log ^2(x)}\right)","\log ^2\left((25-5 \log (4)) e^{16 x^2 \log ^2(x)}\right)",1,"Log[-5*E^(16*x^2*Log[x]^2)*(-5 + Log[4])]^2","A",1
7421,0,0,31,11.0731903,"\int \frac{4+4 x+x^2+\exp \left(\frac{2 \left(-4 x-2 x^2+2 x^3+\left(-2 x-x^2+x^3\right) \log (4)+e^x \left(-2 x^2-x^2 \log (4)\right)\right)}{2+x}\right) \left(-16-16 x+20 x^2+8 x^3+\left(-8-8 x+10 x^2+4 x^3\right) \log (4)+e^x \left(-16 x-12 x^2-4 x^3+\left(-8 x-6 x^2-2 x^3\right) \log (4)\right)\right)}{4+4 x+x^2} \, dx","Integrate[(4 + 4*x + x^2 + E^((2*(-4*x - 2*x^2 + 2*x^3 + (-2*x - x^2 + x^3)*Log[4] + E^x*(-2*x^2 - x^2*Log[4])))/(2 + x))*(-16 - 16*x + 20*x^2 + 8*x^3 + (-8 - 8*x + 10*x^2 + 4*x^3)*Log[4] + E^x*(-16*x - 12*x^2 - 4*x^3 + (-8*x - 6*x^2 - 2*x^3)*Log[4])))/(4 + 4*x + x^2),x]","\int \frac{4+4 x+x^2+\exp \left(\frac{2 \left(-4 x-2 x^2+2 x^3+\left(-2 x-x^2+x^3\right) \log (4)+e^x \left(-2 x^2-x^2 \log (4)\right)\right)}{2+x}\right) \left(-16-16 x+20 x^2+8 x^3+\left(-8-8 x+10 x^2+4 x^3\right) \log (4)+e^x \left(-16 x-12 x^2-4 x^3+\left(-8 x-6 x^2-2 x^3\right) \log (4)\right)\right)}{4+4 x+x^2} \, dx","e^{2 \left(\frac{x^2 \left(x-e^x\right)}{x+2}-x\right) (2+\log (4))}+x-2",1,"Integrate[(4 + 4*x + x^2 + E^((2*(-4*x - 2*x^2 + 2*x^3 + (-2*x - x^2 + x^3)*Log[4] + E^x*(-2*x^2 - x^2*Log[4])))/(2 + x))*(-16 - 16*x + 20*x^2 + 8*x^3 + (-8 - 8*x + 10*x^2 + 4*x^3)*Log[4] + E^x*(-16*x - 12*x^2 - 4*x^3 + (-8*x - 6*x^2 - 2*x^3)*Log[4])))/(4 + 4*x + x^2), x]","F",-1
7422,1,24,28,0.1977331,"\int \frac{e^{\frac{12}{(-15+20 x) \log \left(x \log ^2(2)\right)}} \left(72-96 x-96 x \log \left(x \log ^2(2)\right)\right)}{\left(45 x-120 x^2+80 x^3\right) \log ^2\left(x \log ^2(2)\right)} \, dx","Integrate[(E^(12/((-15 + 20*x)*Log[x*Log[2]^2]))*(72 - 96*x - 96*x*Log[x*Log[2]^2]))/((45*x - 120*x^2 + 80*x^3)*Log[x*Log[2]^2]^2),x]","2 e^{\frac{12}{5 (4 x-3) \log \left(x \log ^2(2)\right)}}","2 \left(e^{\frac{3}{5 \left(x-\frac{3}{4}\right) \log \left(x \log ^2(2)\right)}}-2\right)-1",1,"2*E^(12/(5*(-3 + 4*x)*Log[x*Log[2]^2]))","A",1
7423,1,30,27,0.0056021,"\int \frac{-100 x^4+50 x^5-6 x^6+\left(1-2 x^2\right) \log (2)}{x} \, dx","Integrate[(-100*x^4 + 50*x^5 - 6*x^6 + (1 - 2*x^2)*Log[2])/x,x]","-x^6+10 x^5-25 x^4-\frac{1}{2} x^2 \log (4)+\log (2) \log (x)","-(5-x)^2 x^4+\log (2) \left(\log (x)-x^2\right)+e^5",1,"-25*x^4 + 10*x^5 - x^6 - (x^2*Log[4])/2 + Log[2]*Log[x]","A",1
7424,1,39,26,0.6672554,"\int \frac{25+e^{\frac{1}{5} \left(-7+5 x-2 x^3\right)} \left(-25+25 x-30 x^3\right)}{6-12 e^{\frac{1}{5} \left(-7+5 x-2 x^3\right)}+6 e^{\frac{2}{5} \left(-7+5 x-2 x^3\right)}} \, dx","Integrate[(25 + E^((-7 + 5*x - 2*x^3)/5)*(-25 + 25*x - 30*x^3))/(6 - 12*E^((-7 + 5*x - 2*x^3)/5) + 6*E^((2*(-7 + 5*x - 2*x^3))/5)),x]","\frac{25 e^{\frac{2 x^3}{5}+\frac{7}{5}} x}{6 \left(e^{\frac{2 x^3}{5}+\frac{7}{5}}-e^x\right)}","\frac{25 x}{6 \left(1-e^{\frac{1}{5} \left(-2 x^3-7\right)+x}\right)}",1,"(25*E^(7/5 + (2*x^3)/5)*x)/(6*(-E^x + E^(7/5 + (2*x^3)/5)))","A",1
7425,1,26,28,0.3446082,"\int \frac{-48-24 x^2-3 x^4+e^{x+\frac{3}{4+x^2}} \left(-32 x-80 x^2-74 x^3-44 x^4-28 x^5-13 x^6-4 x^7-x^8\right)}{16+32 x+24 x^2+16 x^3+9 x^4+2 x^5+x^6} \, dx","Integrate[(-48 - 24*x^2 - 3*x^4 + E^(x + 3/(4 + x^2))*(-32*x - 80*x^2 - 74*x^3 - 44*x^4 - 28*x^5 - 13*x^6 - 4*x^7 - x^8))/(16 + 32*x + 24*x^2 + 16*x^3 + 9*x^4 + 2*x^5 + x^6),x]","\frac{3}{x+1}-e^{\frac{3}{x^2+4}+x} x^2","\frac{x+4}{x+1}-e^{\frac{3}{x^2+4}+x} x^2",1,"-(E^(x + 3/(4 + x^2))*x^2) + 3/(1 + x)","A",1
7426,0,0,18,0.9814332,"\int \frac{\exp \left(\frac{-75-29 x-3 x^2+\left(25+10 x+x^2\right) \log (3)+(-3+\log (3)) \log (12 x)}{-3+\log (3)}\right) (-29-6 x+(10+2 x) \log (3))}{-3 x+x \log (3)} \, dx","Integrate[(E^((-75 - 29*x - 3*x^2 + (25 + 10*x + x^2)*Log[3] + (-3 + Log[3])*Log[12*x])/(-3 + Log[3]))*(-29 - 6*x + (10 + 2*x)*Log[3]))/(-3*x + x*Log[3]),x]","\int \frac{\exp \left(\frac{-75-29 x-3 x^2+\left(25+10 x+x^2\right) \log (3)+(-3+\log (3)) \log (12 x)}{-3+\log (3)}\right) (-29-6 x+(10+2 x) \log (3))}{-3 x+x \log (3)} \, dx","12 e^{(x+5)^2+\frac{x}{\log (3)-3}}",1,"Integrate[(E^((-75 - 29*x - 3*x^2 + (25 + 10*x + x^2)*Log[3] + (-3 + Log[3])*Log[12*x])/(-3 + Log[3]))*(-29 - 6*x + (10 + 2*x)*Log[3]))/(-3*x + x*Log[3]), x]","F",-1
7427,1,25,26,0.0090489,"\int \frac{e^4 \left(-6 x+2 e^3 x+6 x^2\right)+e^{7+x} \log (3)}{e^3} \, dx","Integrate[(E^4*(-6*x + 2*E^3*x + 6*x^2) + E^(7 + x)*Log[3])/E^3,x]","e \left(2 x^3+\left(e^3-3\right) x^2+e^{x+3} \log (3)\right)","e^4 \left(x \left(\frac{(2 x-3) x}{e^3}+x\right)+e^x \log (3)+1\right)",1,"E*((-3 + E^3)*x^2 + 2*x^3 + E^(3 + x)*Log[3])","A",1
7428,0,0,35,0.5016391,"\int \frac{\left(16 x+4 e x+e^{3 x} \left(-18 x+54 x^2+e^3 \left(-2 x+6 x^2\right)\right)\right) \log \left(\frac{-8-2 e+e^{3 x} \left(9+e^3\right)+9 x+e^3 x}{18 x+2 e^3 x}\right)+\left(-16 x-4 e x+18 x^2+2 e^3 x^2+e^{3 x} \left(18 x+2 e^3 x\right)\right) \log ^2\left(\frac{-8-2 e+e^{3 x} \left(9+e^3\right)+9 x+e^3 x}{18 x+2 e^3 x}\right)}{-8-2 e+e^{3 x} \left(9+e^3\right)+9 x+e^3 x} \, dx","Integrate[((16*x + 4*E*x + E^(3*x)*(-18*x + 54*x^2 + E^3*(-2*x + 6*x^2)))*Log[(-8 - 2*E + E^(3*x)*(9 + E^3) + 9*x + E^3*x)/(18*x + 2*E^3*x)] + (-16*x - 4*E*x + 18*x^2 + 2*E^3*x^2 + E^(3*x)*(18*x + 2*E^3*x))*Log[(-8 - 2*E + E^(3*x)*(9 + E^3) + 9*x + E^3*x)/(18*x + 2*E^3*x)]^2)/(-8 - 2*E + E^(3*x)*(9 + E^3) + 9*x + E^3*x),x]","\int \frac{\left(16 x+4 e x+e^{3 x} \left(-18 x+54 x^2+e^3 \left(-2 x+6 x^2\right)\right)\right) \log \left(\frac{-8-2 e+e^{3 x} \left(9+e^3\right)+9 x+e^3 x}{18 x+2 e^3 x}\right)+\left(-16 x-4 e x+18 x^2+2 e^3 x^2+e^{3 x} \left(18 x+2 e^3 x\right)\right) \log ^2\left(\frac{-8-2 e+e^{3 x} \left(9+e^3\right)+9 x+e^3 x}{18 x+2 e^3 x}\right)}{-8-2 e+e^{3 x} \left(9+e^3\right)+9 x+e^3 x} \, dx","x^2 \log ^2\left(\frac{\frac{1}{2} \left(x+e^{3 x}\right)-\frac{4+e}{9+e^3}}{x}\right)",1,"Integrate[((16*x + 4*E*x + E^(3*x)*(-18*x + 54*x^2 + E^3*(-2*x + 6*x^2)))*Log[(-8 - 2*E + E^(3*x)*(9 + E^3) + 9*x + E^3*x)/(18*x + 2*E^3*x)] + (-16*x - 4*E*x + 18*x^2 + 2*E^3*x^2 + E^(3*x)*(18*x + 2*E^3*x))*Log[(-8 - 2*E + E^(3*x)*(9 + E^3) + 9*x + E^3*x)/(18*x + 2*E^3*x)]^2)/(-8 - 2*E + E^(3*x)*(9 + E^3) + 9*x + E^3*x), x]","F",-1
7429,1,44,30,0.0183742,"\int \frac{1+e^{-1+e^5} \left(-2+e^2 x^4\right)}{-e^2 x^4+2 e^{1+e^5} x^4} \, dx","Integrate[(1 + E^(-1 + E^5)*(-2 + E^2*x^4))/(-(E^2*x^4) + 2*E^(1 + E^5)*x^4),x]","-\frac{\frac{2 e^{e^5}-e}{3 x^3}+e^{2+e^5} x}{e^2 \left(e-2 e^{e^5}\right)}","\frac{1}{3 e^2 x^3}+\frac{x+3}{2-e^{1-e^5}}",1,"-(((-E + 2*E^E^5)/(3*x^3) + E^(2 + E^5)*x)/(E^2*(E - 2*E^E^5)))","A",1
7430,1,22,22,0.1455097,"\int \frac{-25+20 x+5 x^2-20 x^3+\left(50-30 x^2\right) \log (x)}{-500 x^3+300 x^5-60 x^7+4 x^9} \, dx","Integrate[(-25 + 20*x + 5*x^2 - 20*x^3 + (50 - 30*x^2)*Log[x])/(-500*x^3 + 300*x^5 - 60*x^7 + 4*x^9),x]","\frac{4 x+5 \log (x)}{4 x^2 \left(x^2-5\right)^2}","\frac{5 \left(\frac{4 x}{5}+\log (x)\right)}{4 x^2 \left(x^2-5\right)^2}",1,"(4*x + 5*Log[x])/(4*x^2*(-5 + x^2)^2)","A",1
7431,1,47,28,0.593128,"\int \frac{\exp \left(\exp \left(\frac{-100 e^{2 x^2}-15 e^{2 x^2} \log (x)+6 e^{2 x^2} \log ^2(x)+e^{2 x^2} \log ^3(x)}{625 x^2}\right)+\frac{-100 e^{2 x^2}-15 e^{2 x^2} \log (x)+6 e^{2 x^2} \log ^2(x)+e^{2 x^2} \log ^3(x)}{625 x^2}\right) \left(e^{2 x^2} \left(185-400 x^2\right)+e^{2 x^2} \left(42-60 x^2\right) \log (x)+e^{2 x^2} \left(-9+24 x^2\right) \log ^2(x)+e^{2 x^2} \left(-2+4 x^2\right) \log ^3(x)\right)}{625 x^3} \, dx","Integrate[(E^(E^((-100*E^(2*x^2) - 15*E^(2*x^2)*Log[x] + 6*E^(2*x^2)*Log[x]^2 + E^(2*x^2)*Log[x]^3)/(625*x^2)) + (-100*E^(2*x^2) - 15*E^(2*x^2)*Log[x] + 6*E^(2*x^2)*Log[x]^2 + E^(2*x^2)*Log[x]^3)/(625*x^2))*(E^(2*x^2)*(185 - 400*x^2) + E^(2*x^2)*(42 - 60*x^2)*Log[x] + E^(2*x^2)*(-9 + 24*x^2)*Log[x]^2 + E^(2*x^2)*(-2 + 4*x^2)*Log[x]^3))/(625*x^3),x]","\exp \left(x^{-\frac{3 e^{2 x^2}}{125 x^2}} e^{\frac{e^{2 x^2} \left(\log ^3(x)+6 \log ^2(x)-100\right)}{625 x^2}}\right)","\exp \left(\exp \left(\frac{e^{2 x^2} (\log (x)-4) (\log (x)+5)^2}{625 x^2}\right)\right)",1,"E^(E^((E^(2*x^2)*(-100 + 6*Log[x]^2 + Log[x]^3))/(625*x^2))/x^((3*E^(2*x^2))/(125*x^2)))","A",1
7432,1,28,26,0.3607866,"\int \frac{e^{\frac{4}{-3 x+1200 x^2-960 x^3+192 x^4}} \left(1562500-1250000000 x+1500000000 x^2-400000000 x^3\right)}{3 x^2-2400 x^3+481920 x^4-768384 x^5+460800 x^6-122880 x^7+12288 x^8} \, dx","Integrate[(E^(4/(-3*x + 1200*x^2 - 960*x^3 + 192*x^4))*(1562500 - 1250000000*x + 1500000000*x^2 - 400000000*x^3))/(3*x^2 - 2400*x^3 + 481920*x^4 - 768384*x^5 + 460800*x^6 - 122880*x^7 + 12288*x^8),x]","390625 e^{\frac{4}{3 x \left(64 x^3-320 x^2+400 x-1\right)}}","390625 e^{\frac{4}{3 \left(16 x^2 (2 x-5)^2-x\right)}}",1,"390625*E^(4/(3*x*(-1 + 400*x - 320*x^2 + 64*x^3)))","A",1
7433,1,12,12,0.0079466,"\int \frac{4 e^{-8 x} \left(-2+\frac{1}{4} e^{8 x} \log (5)\right)}{\log (5)} \, dx","Integrate[(4*(-2 + (E^(8*x)*Log[5])/4))/(E^(8*x)*Log[5]),x]","x+\frac{e^{-8 x}}{\log (5)}","x+\frac{e^{-8 x}}{\log (5)}",1,"x + 1/(E^(8*x)*Log[5])","A",1
7434,1,11,12,0.0068852,"\int e^{x+2 e^5 x} \left(1+2 e^5\right) \, dx","Integrate[E^(x + 2*E^5*x)*(1 + 2*E^5),x]","e^{\left(1+2 e^5\right) x}","e^{2 e^5 x+x}+3",1,"E^((1 + 2*E^5)*x)","A",1
7435,1,31,20,0.0320124,"\int \frac{980+294 x+49 x^2+4 x^3+\left(49+210 x+57 x^2+4 x^3\right) \log (5)}{245+70 x+12 x^2+x^3+\left(49 x+14 x^2+x^3\right) \log (5)} \, dx","Integrate[(980 + 294*x + 49*x^2 + 4*x^3 + (49 + 210*x + 57*x^2 + 4*x^3)*Log[5])/(245 + 70*x + 12*x^2 + x^3 + (49*x + 14*x^2 + x^3)*Log[5]),x]","\log \left(x^2 (1+\log (5))+x (5+7 \log (5))+35\right)+4 (x+7)-\log (x+7)","4 x+\log \left(x \left(\frac{x}{x+7}+\log (5)\right)+5\right)-4",1,"4*(7 + x) - Log[7 + x] + Log[35 + x^2*(1 + Log[5]) + x*(5 + 7*Log[5])]","A",1
7436,1,28,28,0.1935459,"\int \frac{2 x^2-3 x^2 \log (x)+e^{x^2} \left(e^8 \left(-8 x-8 x^3\right)+e^{8+x} \left(2 x+x^2+2 x^3\right)\right) \log ^3(x)}{e^8 \log ^3(x)} \, dx","Integrate[(2*x^2 - 3*x^2*Log[x] + E^x^2*(E^8*(-8*x - 8*x^3) + E^(8 + x)*(2*x + x^2 + 2*x^3))*Log[x]^3)/(E^8*Log[x]^3),x]","\frac{x^2 \left(e^{x^2+8} \left(e^x-4\right)-\frac{x}{\log ^2(x)}\right)}{e^8}","-\frac{x^3}{e^8 \log ^2(x)}+e^{x^2} \left(e^x-4\right) x^2+2",1,"(x^2*(E^(8 + x^2)*(-4 + E^x) - x/Log[x]^2))/E^8","A",1
7437,1,17,17,0.144706,"\int 25 e^{6+e^8+e^{1-x}} \left(1-e^{1-x} x\right) \, dx","Integrate[25*E^(6 + E^8 + E^(1 - x))*(1 - E^(1 - x)*x),x]","25 e^{e^{1-x}+6+e^8} x","25 e^{e^{1-x}+6+e^8} x",1,"25*E^(6 + E^8 + E^(1 - x))*x","A",1
7438,1,23,22,0.0454127,"\int \frac{80+20 x+e^{256} (8+2 x)+\left(-40-4 e^{256}\right) \log (x) \log \left(\log ^2(x)\right)}{3 x^2 \log (x)} \, dx","Integrate[(80 + 20*x + E^256*(8 + 2*x) + (-40 - 4*E^256)*Log[x]*Log[Log[x]^2])/(3*x^2*Log[x]),x]","\frac{2}{3} \left(10+e^{256}\right) \left(\frac{2 \log \left(\log ^2(x)\right)}{x}+\log (\log (x))\right)","\frac{\left(10+e^{256}\right) (x+4) \log \left(\log ^2(x)\right)}{3 x}+3",1,"(2*(10 + E^256)*(Log[Log[x]] + (2*Log[Log[x]^2])/x))/3","A",1
7439,1,24,23,0.1154891,"\int \frac{\exp \left(\frac{-x \log (9)+\left(-5+e^{5 e^4 x} x\right) \log (x)}{\log (x)}\right) \left(\log (9)-\log (9) \log (x)+e^{5 e^4 x} \left(1+5 e^4 x\right) \log ^2(x)\right)}{\log ^2(x)} \, dx","Integrate[(E^((-(x*Log[9]) + (-5 + E^(5*E^4*x)*x)*Log[x])/Log[x])*(Log[9] - Log[9]*Log[x] + E^(5*E^4*x)*(1 + 5*E^4*x)*Log[x]^2))/Log[x]^2,x]","e^{e^{5 e^4 x} x-5} 9^{-\frac{x}{\log (x)}}","e^{e^{5 e^4 x} x-\frac{x \log (9)}{\log (x)}-5}",1,"E^(-5 + E^(5*E^4*x)*x)/9^(x/Log[x])","A",1
7440,1,22,23,0.3005173,"\int \frac{\left(\frac{-5 x+x^2+e^x (x+x \log (4))}{\log (x \log (4))}\right)^x \left(5-x+e^x (-1-\log (4))+\left(-5+2 x+e^x (1+x+(1+x) \log (4))\right) \log (x \log (4))+\left(-5+x+e^x (1+\log (4))\right) \log (x \log (4)) \log \left(\frac{-5 x+x^2+e^x (x+x \log (4))}{\log (x \log (4))}\right)\right)}{\left(-5+x+e^x (1+\log (4))\right) \log (x \log (4))} \, dx","Integrate[(((-5*x + x^2 + E^x*(x + x*Log[4]))/Log[x*Log[4]])^x*(5 - x + E^x*(-1 - Log[4]) + (-5 + 2*x + E^x*(1 + x + (1 + x)*Log[4]))*Log[x*Log[4]] + (-5 + x + E^x*(1 + Log[4]))*Log[x*Log[4]]*Log[(-5*x + x^2 + E^x*(x + x*Log[4]))/Log[x*Log[4]]]))/((-5 + x + E^x*(1 + Log[4]))*Log[x*Log[4]]),x]","\left(\frac{x \left(x+e^x (1+\log (4))-5\right)}{\log (x \log (4))}\right)^x","\left(\frac{x \left(x+e^x+e^x \log (4)-5\right)}{\log (x \log (4))}\right)^x",1,"((x*(-5 + x + E^x*(1 + Log[4])))/Log[x*Log[4]])^x","A",1
7441,1,53,16,0.0086225,"\int \left(2 x+190 x \log (3)+4500 x \log ^2(3)+\left(20 x \log (3)+950 x \log ^2(3)\right) \log (x)+50 x \log ^2(3) \log ^2(x)\right) \, dx","Integrate[2*x + 190*x*Log[3] + 4500*x*Log[3]^2 + (20*x*Log[3] + 950*x*Log[3]^2)*Log[x] + 50*x*Log[3]^2*Log[x]^2,x]","x^2+25 x^2 \log ^2(3) \log ^2(x)+450 x^2 \log ^2(3) \log (x)+2025 x^2 \log ^2(3)+10 x^2 \log (3) \log (x)+90 x^2 \log (3)","x^2 (5 \log (3) (\log (x)+9)+1)^2",1,"x^2 + 90*x^2*Log[3] + 2025*x^2*Log[3]^2 + 10*x^2*Log[3]*Log[x] + 450*x^2*Log[3]^2*Log[x] + 25*x^2*Log[3]^2*Log[x]^2","B",1
7442,1,35,28,0.1673464,"\int \frac{\left(\frac{-e^{2 x}-8 e^x x^4-16 x^8-2 x^9-x^{10}-x^8 \log (5)}{x^8}\right)^x \left(2 x^9+2 x^{10}+e^{2 x} (-8+2 x)+e^x \left(-32 x^4+8 x^5\right)+\left(e^{2 x}+8 e^x x^4+16 x^8+2 x^9+x^{10}+x^8 \log (5)\right) \log \left(\frac{-e^{2 x}-8 e^x x^4-16 x^8-2 x^9-x^{10}-x^8 \log (5)}{x^8}\right)\right)}{e^{2 x}+8 e^x x^4+16 x^8+2 x^9+x^{10}+x^8 \log (5)} \, dx","Integrate[(((-E^(2*x) - 8*E^x*x^4 - 16*x^8 - 2*x^9 - x^10 - x^8*Log[5])/x^8)^x*(2*x^9 + 2*x^10 + E^(2*x)*(-8 + 2*x) + E^x*(-32*x^4 + 8*x^5) + (E^(2*x) + 8*E^x*x^4 + 16*x^8 + 2*x^9 + x^10 + x^8*Log[5])*Log[(-E^(2*x) - 8*E^x*x^4 - 16*x^8 - 2*x^9 - x^10 - x^8*Log[5])/x^8]))/(E^(2*x) + 8*E^x*x^4 + 16*x^8 + 2*x^9 + x^10 + x^8*Log[5]),x]","\left(-\frac{8 e^x x^4+x^8 \left(x^2+2 x+16+\log (5)\right)+e^{2 x}}{x^8}\right)^x","\left(-\left(\frac{e^x}{x^4}+4\right)^2-(x+1)^2+1-\log (5)\right)^x",1,"(-((E^(2*x) + 8*E^x*x^4 + x^8*(16 + 2*x + x^2 + Log[5]))/x^8))^x","A",1
7443,1,289,36,8.9457508,"\int \left(-1+32 x-24 x^2+4 x^3+e^{2 x^2} \left(-8+66 x-32 x^2+4 x^3\right)+e^{x^2} \left(32-32 x+70 x^2-32 x^3+4 x^4\right)+e^{3 e^{2 x}-3 x} \left(e^{2 x^2} \left(24-48 e^{2 x}-32 x\right)-16 x+24 x^2-48 e^{2 x} x^2+e^{x^2} \left(-16+48 x-96 e^{2 x} x-32 x^2\right)\right)+e^{4 e^{2 x}-4 x} \left(2 x-4 x^2+8 e^{2 x} x^2+e^{2 x^2} \left(-4+8 e^{2 x}+4 x\right)+e^{x^2} \left(2-8 x+16 e^{2 x} x+4 x^2\right)\right)+e^{2 e^{2 x}-2 x} \left(48 x-54 x^2+4 x^3+e^{2 x^2} \left(-50+e^{2 x} (96-8 x)+100 x-8 x^2\right)+e^{2 x} \left(96 x^2-8 x^3\right)+e^{x^2} \left(48-104 x+104 x^2-8 x^3+e^{2 x} \left(192 x-16 x^2\right)\right)\right)+e^{e^{2 x}-x} \left(-64 x+56 x^2-8 x^3+e^{2 x} \left(-64 x^2+16 x^3\right)+e^{2 x^2} \left(40-136 x+32 x^2+e^{2 x} (-64+16 x)\right)+e^{x^2} \left(-64+96 x-144 x^2+32 x^3+e^{2 x} \left(-128 x+32 x^2\right)\right)\right)\right) \, dx","Integrate[-1 + 32*x - 24*x^2 + 4*x^3 + E^(2*x^2)*(-8 + 66*x - 32*x^2 + 4*x^3) + E^x^2*(32 - 32*x + 70*x^2 - 32*x^3 + 4*x^4) + E^(3*E^(2*x) - 3*x)*(E^(2*x^2)*(24 - 48*E^(2*x) - 32*x) - 16*x + 24*x^2 - 48*E^(2*x)*x^2 + E^x^2*(-16 + 48*x - 96*E^(2*x)*x - 32*x^2)) + E^(4*E^(2*x) - 4*x)*(2*x - 4*x^2 + 8*E^(2*x)*x^2 + E^(2*x^2)*(-4 + 8*E^(2*x) + 4*x) + E^x^2*(2 - 8*x + 16*E^(2*x)*x + 4*x^2)) + E^(2*E^(2*x) - 2*x)*(48*x - 54*x^2 + 4*x^3 + E^(2*x^2)*(-50 + E^(2*x)*(96 - 8*x) + 100*x - 8*x^2) + E^(2*x)*(96*x^2 - 8*x^3) + E^x^2*(48 - 104*x + 104*x^2 - 8*x^3 + E^(2*x)*(192*x - 16*x^2))) + E^(E^(2*x) - x)*(-64*x + 56*x^2 - 8*x^3 + E^(2*x)*(-64*x^2 + 16*x^3) + E^(2*x^2)*(40 - 136*x + 32*x^2 + E^(2*x)*(-64 + 16*x)) + E^x^2*(-64 + 96*x - 144*x^2 + 32*x^3 + E^(2*x)*(-128*x + 32*x^2))),x]","x^4-8 x^3-16 e^{x^2} x^2+e^{2 x^2} x^2+16 x^2+32 e^{x^2} x-8 e^{2 x^2} x+16 e^{2 x^2}+2 e^{4 e^{2 x}} \left(\frac{1}{2} e^{-4 x} x^2+e^{x^2-4 x} x+\frac{1}{2} e^{2 x^2-4 x}\right)-8 e^{3 e^{2 x}} \left(e^{-3 x} x^2+2 e^{x^2-3 x} x+e^{2 x^2-3 x}\right)+2 e^{x^2} x^3-2 e^{2 e^{2 x}} \left(e^{2 x^2-2 x} (x-12)+e^{x^2-2 x} \left(2 x^2-24 x\right)+e^{-2 x} \left(x^3-12 x^2\right)\right)+8 e^{e^{2 x}} \left(e^{2 x^2-x} (x-4)+e^{x^2-x} \left(2 x^2-8 x\right)+e^{-x} \left(x^3-4 x^2\right)\right)-x","\left(e^{x^2}+x\right)^2 \left(x-\left(e^{e^{2 x}-x}-2\right)^2\right)^2-x-2",1,"16*E^(2*x^2) - x + 32*E^x^2*x - 8*E^(2*x^2)*x + 16*x^2 - 16*E^x^2*x^2 + E^(2*x^2)*x^2 - 8*x^3 + 2*E^x^2*x^3 + x^4 + 2*E^(4*E^(2*x))*(E^(-4*x + 2*x^2)/2 + E^(-4*x + x^2)*x + x^2/(2*E^(4*x))) - 8*E^(3*E^(2*x))*(E^(-3*x + 2*x^2) + 2*E^(-3*x + x^2)*x + x^2/E^(3*x)) - 2*E^(2*E^(2*x))*(E^(-2*x + 2*x^2)*(-12 + x) + E^(-2*x + x^2)*(-24*x + 2*x^2) + (-12*x^2 + x^3)/E^(2*x)) + 8*E^E^(2*x)*(E^(-x + 2*x^2)*(-4 + x) + E^(-x + x^2)*(-8*x + 2*x^2) + (-4*x^2 + x^3)/E^x)","B",1
7444,1,32,19,0.2965768,"\int \exp \left(-4+e^{16} (1-x)+4 x+x^2-x^3+e^8 \left(-2 x+2 x^2\right)\right) \left(4-e^{16}+2 x-3 x^2+e^8 (-2+4 x)\right) \, dx","Integrate[E^(-4 + E^16*(1 - x) + 4*x + x^2 - x^3 + E^8*(-2*x + 2*x^2))*(4 - E^16 + 2*x - 3*x^2 + E^8*(-2 + 4*x)),x]","\exp \left(-x^3+x^2+2 e^8 (x-1) x+4 x-e^{16} (x-1)-4\right)","e^{(x-1) \left(4-\left(x-e^8\right)^2\right)}",1,"E^(-4 - E^16*(-1 + x) + 4*x + 2*E^8*(-1 + x)*x + x^2 - x^3)","A",1
7445,1,24,22,0.107955,"\int \frac{-2 x+x^4-2 x^5+\left(4 x+10 x^2-20 x^3\right) \log (x)+(25-50 x) \log ^2(x)}{x^4+10 x^2 \log (x)+25 \log ^2(x)} \, dx","Integrate[(-2*x + x^4 - 2*x^5 + (4*x + 10*x^2 - 20*x^3)*Log[x] + (25 - 50*x)*Log[x]^2)/(x^4 + 10*x^2*Log[x] + 25*Log[x]^2),x]","-x^2+\frac{2 x^2}{5 \left(x^2+5 \log (x)\right)}+x","-x^2-\frac{2}{\frac{x^2}{\log (x)}+5}+x+3",1,"x - x^2 + (2*x^2)/(5*(x^2 + 5*Log[x]))","A",1
7446,1,35,32,0.5296087,"\int \frac{-x^6+e^6 \left(32 x^3-32 x^4\right)+e^3 \left(8 x^4-12 x^5\right)+e^{3+x} \left(-4 x^3+3 x^4-x^5+e^6 \left(-32 x+32 x^2-16 x^3\right)+e^3 \left(-24 x^2+20 x^3-8 x^4\right)\right)}{e^{15+3 x} \left(-16+24 x-12 x^2+2 x^3\right)+e^{12+2 x} \left(-48 x^2+72 x^3-36 x^4+6 x^5\right)+e^{9+x} \left(-48 x^4+72 x^5-36 x^6+6 x^7\right)+e^6 \left(-16 x^6+24 x^7-12 x^8+2 x^9\right)} \, dx","Integrate[(-x^6 + E^6*(32*x^3 - 32*x^4) + E^3*(8*x^4 - 12*x^5) + E^(3 + x)*(-4*x^3 + 3*x^4 - x^5 + E^6*(-32*x + 32*x^2 - 16*x^3) + E^3*(-24*x^2 + 20*x^3 - 8*x^4)))/(E^(15 + 3*x)*(-16 + 24*x - 12*x^2 + 2*x^3) + E^(12 + 2*x)*(-48*x^2 + 72*x^3 - 36*x^4 + 6*x^5) + E^(9 + x)*(-48*x^4 + 72*x^5 - 36*x^6 + 6*x^7) + E^6*(-16*x^6 + 24*x^7 - 12*x^8 + 2*x^9)),x]","\frac{x^2 \left(x+4 e^3\right)^2}{4 e^6 (x-2)^2 \left(x^2+e^{x+3}\right)^2}","\frac{x^2 \left(-\frac{x}{e^3}-4\right)^2}{(4-2 x)^2 \left(x^2+e^{x+3}\right)^2}",1,"(x^2*(4*E^3 + x)^2)/(4*E^6*(-2 + x)^2*(E^(3 + x) + x^2)^2)","A",1
7447,1,28,27,0.1158517,"\int \frac{-20+e^{2 e^{4 x}} \left(5+40 e^{4 x} x-40 e^{4 x} \log (\log (4))\right)}{4 e^2} \, dx","Integrate[(-20 + E^(2*E^(4*x))*(5 + 40*E^(4*x)*x - 40*E^(4*x)*Log[Log[4]]))/(4*E^2),x]","\frac{5 \left(e^{2 e^{4 x}} (x-\log (\log (4)))-4 x\right)}{4 e^2}","\frac{5 \left(4-e^{2 e^{4 x}}\right) (\log (\log (4))-x)}{4 e^2}",1,"(5*(-4*x + E^(2*E^(4*x))*(x - Log[Log[4]])))/(4*E^2)","A",1
7448,1,41,23,0.0934454,"\int \frac{2 e^{1+x} x \log (3)+e^2 x^3 \log (3)-2 e^{2+2 x} x^3 \log (3)+\left(-2 \log (3)+e^{1+x} \left(-2 x+2 x^2\right) \log (3)\right) \log (x)+2 \log (3) \log ^2(x)}{e^2 x^3} \, dx","Integrate[(2*E^(1 + x)*x*Log[3] + E^2*x^3*Log[3] - 2*E^(2 + 2*x)*x^3*Log[3] + (-2*Log[3] + E^(1 + x)*(-2*x + 2*x^2)*Log[3])*Log[x] + 2*Log[3]*Log[x]^2)/(E^2*x^3),x]","-\frac{\log (3) \left(\frac{\log ^2(x)}{x^2}+e^{2 x+2}-e^2 x-\frac{2 e^{x+1} \log (x)}{x}\right)}{e^2}","\log (3) \left(x-\left(e^x-\frac{\log (x)}{e x}\right)^2\right)",1,"-((Log[3]*(E^(2 + 2*x) - E^2*x - (2*E^(1 + x)*Log[x])/x + Log[x]^2/x^2))/E^2)","A",1
7449,1,22,23,0.0294588,"\int \frac{1+7 x+13 x^2+x^3+\left(x+2 x^2\right) \log (2 x)+\left(x+2 x^2\right) \log \left(e^{-1+x} x\right)}{x} \, dx","Integrate[(1 + 7*x + 13*x^2 + x^3 + (x + 2*x^2)*Log[2*x] + (x + 2*x^2)*Log[E^(-1 + x)*x])/x,x]","\log (x)+x (x+1) \left(\log (2 x)+\log \left(e^{x-1} x\right)+5\right)","\left(x^2+x\right) \left(\log (2 x)+\log \left(e^{x-1} x\right)+5\right)+\log (x)",1,"Log[x] + x*(1 + x)*(5 + Log[2*x] + Log[E^(-1 + x)*x])","A",1
7450,1,22,31,0.0682033,"\int \frac{1375-3150 x+550 x^2-660 x^3+55 x^4-6 x^5-6000 x \log (x)}{1875+750 x^2+75 x^4} \, dx","Integrate[(1375 - 3150*x + 550*x^2 - 660*x^3 + 55*x^4 - 6*x^5 - 6000*x*Log[x])/(1875 + 750*x^2 + 75*x^4),x]","\frac{1}{75} x \left(-\frac{600 x \log (x)}{x^2+5}-3 x+55\right)","-\left(1-\frac{x}{5}\right)^2+\frac{x}{3}-\frac{8 x \log (x)}{x+\frac{5}{x}}",1,"(x*(55 - 3*x - (600*x*Log[x])/(5 + x^2)))/75","A",1
7451,1,41,24,0.2291375,"\int e^{-\frac{5}{6}+e^x} \left(-30+18 e^{2 x}-6 e^{3 x}+12 x+e^x \left(30-30 x+6 x^2\right)\right) \, dx","Integrate[E^(-5/6 + E^x)*(-30 + 18*E^(2*x) - 6*E^(3*x) + 12*x + E^x*(30 - 30*x + 6*x^2)),x]","-6 e^{e^x-\frac{5}{3}} \left(-e^{5/6} (x-5) x-5 e^{x+\frac{5}{6}}+e^{2 x+\frac{5}{6}}\right)","6 e^{e^x-\frac{5}{6}} \left(x-e^x\right) \left(x+e^x-5\right)",1,"-6*E^(-5/3 + E^x)*(-5*E^(5/6 + x) + E^(5/6 + 2*x) - E^(5/6)*(-5 + x)*x)","A",1
7452,1,20,21,0.0025874,"\int \frac{1}{3} \left(6+2 x-432 x^3+2 x \log \left(x^2\right)\right) \, dx","Integrate[(6 + 2*x - 432*x^3 + 2*x*Log[x^2])/3,x]","-36 x^4+\frac{1}{3} x^2 \log \left(x^2\right)+2 x","-36 x^4+\frac{1}{3} x^2 \log \left(x^2\right)+2 x+6",1,"2*x - 36*x^4 + (x^2*Log[x^2])/3","A",1
7453,1,45,35,0.1366625,"\int \frac{12+10 x+5 x \log \left(4 x^2\right)+x \log ^2\left(4 x^2\right)+3 (i \pi +\log (-\log (\log (2))))^2}{16 x+8 x \log \left(4 x^2\right)+x \log ^2\left(4 x^2\right)} \, dx","Integrate[(12 + 10*x + 5*x*Log[4*x^2] + x*Log[4*x^2]^2 + 3*(I*Pi + Log[-Log[Log[2]]])^2)/(16*x + 8*x*Log[4*x^2] + x*Log[4*x^2]^2),x]","x+\frac{3 \left(-2 x+\pi ^2-4-\log ^2(-\log (\log (2)))-2 i \pi  \log (-\log (\log (2)))\right)}{2 \left(\log \left(4 x^2\right)+4\right)}","x-\frac{3 \left(x+2+\frac{1}{2} (\log (-\log (\log (2)))+i \pi )^2\right)}{\log \left(4 x^2\right)+4}",1,"x + (3*(-4 + Pi^2 - 2*x - (2*I)*Pi*Log[-Log[Log[2]]] - Log[-Log[Log[2]]]^2))/(2*(4 + Log[4*x^2]))","A",1
7454,1,19,22,1.0529098,"\int \frac{e^{225/x} \left(2 x-x^9\right)+e^{225/x} \left(-450+2 x+225 x^8+7 x^9\right) \log (x)}{4 x-4 x^9+x^{17}} \, dx","Integrate[(E^(225/x)*(2*x - x^9) + E^(225/x)*(-450 + 2*x + 225*x^8 + 7*x^9)*Log[x])/(4*x - 4*x^9 + x^17),x]","-\frac{e^{225/x} x \log (x)}{x^8-2}","\frac{e^{225/x} x \log (x)}{2-x^8}+5",1,"-((E^(225/x)*x*Log[x])/(-2 + x^8))","A",1
7455,1,37,35,0.1652714,"\int \frac{1875 x+e^x \left(750 x-750 x^2\right)+e^{2 x} \left(75 x-150 x^2\right)+\left(-375+e^{2 x} (-15+30 x)+e^x (-150+150 x)\right) \log \left(x^2\right)+\log \left(\frac{25+10 e^x+e^{2 x}-2 x}{x}\right) \left(750+300 e^x+30 e^{2 x}-60 x+\left(-375-150 e^x-15 e^{2 x}+30 x\right) \log \left(x^2\right)\right)}{\log ^2\left(\frac{25+10 e^x+e^{2 x}-2 x}{x}\right) \left(625 x^2+250 e^x x^2+25 e^{2 x} x^2-50 x^3+\left(-250 x-100 e^x x-10 e^{2 x} x+20 x^2\right) \log \left(x^2\right)+\left(25+10 e^x+e^{2 x}-2 x\right) \log ^2\left(x^2\right)\right)} \, dx","Integrate[(1875*x + E^x*(750*x - 750*x^2) + E^(2*x)*(75*x - 150*x^2) + (-375 + E^(2*x)*(-15 + 30*x) + E^x*(-150 + 150*x))*Log[x^2] + Log[(25 + 10*E^x + E^(2*x) - 2*x)/x]*(750 + 300*E^x + 30*E^(2*x) - 60*x + (-375 - 150*E^x - 15*E^(2*x) + 30*x)*Log[x^2]))/(Log[(25 + 10*E^x + E^(2*x) - 2*x)/x]^2*(625*x^2 + 250*E^x*x^2 + 25*E^(2*x)*x^2 - 50*x^3 + (-250*x - 100*E^x*x - 10*E^(2*x)*x + 20*x^2)*Log[x^2] + (25 + 10*E^x + E^(2*x) - 2*x)*Log[x^2]^2)),x]","\frac{15 x}{\log \left(\frac{-2 x+10 e^x+e^{2 x}+25}{x}\right) \left(5 x-\log \left(x^2\right)\right)}","1-\frac{3 x}{\log \left(\frac{\left(e^x+5\right)^2}{x}-2\right) \left(\frac{\log \left(x^2\right)}{5}-x\right)}",1,"(15*x)/(Log[(25 + 10*E^x + E^(2*x) - 2*x)/x]*(5*x - Log[x^2]))","A",1
7456,1,36,27,0.1951296,"\int \frac{-4 x+4 x^2+\left(-2 x+2 x^2\right) \log (x)+\left(-6 x-4 x^2+2 x^3+4 x^4\right) \log (x) \log \left(\frac{1}{3} x \log ^2(x)\right)+\left(-2 x+4 x^3\right) \log (x) \log \left(\frac{1}{3} x \log ^2(x)\right) \log \left(\log \left(\frac{1}{3} x \log ^2(x)\right)\right)+\left(\left(-3-2 x^2+2 x^3\right) \log (x) \log \left(\frac{1}{3} x \log ^2(x)\right)+\left(-2 x+2 x^2\right) \log (x) \log \left(\frac{1}{3} x \log ^2(x)\right) \log \left(\log \left(\frac{1}{3} x \log ^2(x)\right)\right)\right) \log \left(3+2 x^2-2 x^3+\left(2 x-2 x^2\right) \log \left(\log \left(\frac{1}{3} x \log ^2(x)\right)\right)\right)}{\left(-3-2 x^2+2 x^3\right) \log (x) \log \left(\frac{1}{3} x \log ^2(x)\right)+\left(-2 x+2 x^2\right) \log (x) \log \left(\frac{1}{3} x \log ^2(x)\right) \log \left(\log \left(\frac{1}{3} x \log ^2(x)\right)\right)} \, dx","Integrate[(-4*x + 4*x^2 + (-2*x + 2*x^2)*Log[x] + (-6*x - 4*x^2 + 2*x^3 + 4*x^4)*Log[x]*Log[(x*Log[x]^2)/3] + (-2*x + 4*x^3)*Log[x]*Log[(x*Log[x]^2)/3]*Log[Log[(x*Log[x]^2)/3]] + ((-3 - 2*x^2 + 2*x^3)*Log[x]*Log[(x*Log[x]^2)/3] + (-2*x + 2*x^2)*Log[x]*Log[(x*Log[x]^2)/3]*Log[Log[(x*Log[x]^2)/3]])*Log[3 + 2*x^2 - 2*x^3 + (2*x - 2*x^2)*Log[Log[(x*Log[x]^2)/3]]])/((-3 - 2*x^2 + 2*x^3)*Log[x]*Log[(x*Log[x]^2)/3] + (-2*x + 2*x^2)*Log[x]*Log[(x*Log[x]^2)/3]*Log[Log[(x*Log[x]^2)/3]]),x]","x^2+x \log \left(-2 x^3+2 x^2-2 (x-1) x \log \left(\log \left(\frac{1}{3} x \log ^2(x)\right)\right)+3\right)","x \left(x+\log \left((2-2 x) x \left(x+\log \left(\log \left(\frac{1}{3} x \log ^2(x)\right)\right)\right)+3\right)\right)",1,"x^2 + x*Log[3 + 2*x^2 - 2*x^3 - 2*(-1 + x)*x*Log[Log[(x*Log[x]^2)/3]]]","A",1
7457,1,12,15,0.0054415,"\int \frac{e^{64 x^3} \left(-4+768 x^3\right)}{x^2} \, dx","Integrate[(E^(64*x^3)*(-4 + 768*x^3))/x^2,x]","\frac{4 e^{64 x^3}}{x}","4 \left(\frac{e^{64 x^3}}{x}+2\right)",1,"(4*E^(64*x^3))/x","A",1
7458,1,27,23,0.140366,"\int \left(32-32 x+24 x^2+e^x \left(36+27 x^2+9 x^3\right)+\left(32-32 x+e^x \left(36-36 x-18 x^2\right)\right) \log \left(x^2\right)+\left(8+e^x (9+9 x)\right) \log ^2\left(x^2\right)\right) \, dx","Integrate[32 - 32*x + 24*x^2 + E^x*(36 + 27*x^2 + 9*x^3) + (32 - 32*x + E^x*(36 - 36*x - 18*x^2))*Log[x^2] + (8 + E^x*(9 + 9*x))*Log[x^2]^2,x]","\left(9 e^x+8\right) x \left(x^2+\log ^2\left(x^2\right)-2 x \log \left(x^2\right)+4\right)","\left(9 e^x x+8 x\right) \left(\left(x-\log \left(x^2\right)\right)^2+4\right)",1,"(8 + 9*E^x)*x*(4 + x^2 - 2*x*Log[x^2] + Log[x^2]^2)","A",1
7459,0,0,24,2.4445385,"\int \exp \left(-4+e^{-4 x^2+2 x^3}+\exp \left(-4+e^{-4 x^2+2 x^3}+x^2-2 x \log (5)+\log ^2(5)\right)+x^2-2 x \log (5)+\log ^2(5)\right) \left(2 x+e^{-4 x^2+2 x^3} \left(-8 x+6 x^2\right)-2 \log (5)\right) \, dx","Integrate[E^(-4 + E^(-4*x^2 + 2*x^3) + E^(-4 + E^(-4*x^2 + 2*x^3) + x^2 - 2*x*Log[5] + Log[5]^2) + x^2 - 2*x*Log[5] + Log[5]^2)*(2*x + E^(-4*x^2 + 2*x^3)*(-8*x + 6*x^2) - 2*Log[5]),x]","\int \exp \left(-4+e^{-4 x^2+2 x^3}+\exp \left(-4+e^{-4 x^2+2 x^3}+x^2-2 x \log (5)+\log ^2(5)\right)+x^2-2 x \log (5)+\log ^2(5)\right) \left(2 x+e^{-4 x^2+2 x^3} \left(-8 x+6 x^2\right)-2 \log (5)\right) \, dx","e^{e^{e^{2 (x-2) x^2}+(x-\log (5))^2-4}}",1,"Integrate[E^(-4 + E^(-4*x^2 + 2*x^3) + E^(-4 + E^(-4*x^2 + 2*x^3) + x^2 - 2*x*Log[5] + Log[5]^2) + x^2 - 2*x*Log[5] + Log[5]^2)*(2*x + E^(-4*x^2 + 2*x^3)*(-8*x + 6*x^2) - 2*Log[5]), x]","F",-1
7460,1,23,27,0.121601,"\int \frac{56-8 x+28 x^2-4 x^3+\left(-8-4 x^2\right) \log \left(\frac{2 x}{2+x^2}\right)+\log (x) \left(48-16 x+32 x^2-8 x^3+\left(-8-4 x^2\right) \log \left(\frac{2 x}{2+x^2}\right)\right)}{\left(2+x^2\right) \log (25)} \, dx","Integrate[(56 - 8*x + 28*x^2 - 4*x^3 + (-8 - 4*x^2)*Log[(2*x)/(2 + x^2)] + Log[x]*(48 - 16*x + 32*x^2 - 8*x^3 + (-8 - 4*x^2)*Log[(2*x)/(2 + x^2)]))/((2 + x^2)*Log[25]),x]","-\frac{4 x \log (x) \left(\log \left(\frac{2 x}{x^2+2}\right)+x-7\right)}{\log (25)}","\frac{4 x \log (x) \left(-\log \left(\frac{2 x}{x^2+2}\right)-x+7\right)}{\log (25)}",1,"(-4*x*Log[x]*(-7 + x + Log[(2*x)/(2 + x^2)]))/Log[25]","A",1
7461,1,24,27,0.3911855,"\int \frac{1-81 x^2+162 x^3+\left(-1-x^2\right) \log (x)}{x^2+160 x^3+6238 x^4-12960 x^5+6561 x^6+\left(-2 x-160 x^2+164 x^3+160 x^4-162 x^5\right) \log (x)+\left(1-2 x^2+x^4\right) \log ^2(x)} \, dx","Integrate[(1 - 81*x^2 + 162*x^3 + (-1 - x^2)*Log[x])/(x^2 + 160*x^3 + 6238*x^4 - 12960*x^5 + 6561*x^6 + (-2*x - 160*x^2 + 164*x^3 + 160*x^4 - 162*x^5)*Log[x] + (1 - 2*x^2 + x^4)*Log[x]^2),x]","\frac{x}{(x-1) \left(-81 x^2-x+x \log (x)+\log (x)\right)}","\frac{x}{(1-x) \left(81 x^2+x-x \log (x)-\log (x)\right)}",1,"x/((-1 + x)*(-x - 81*x^2 + Log[x] + x*Log[x]))","A",1
7462,1,42,29,0.1144026,"\int \exp \left(8+2 e^{4+2 x^2}+2 x+12 x^3+2 x^6+2 e^{2+x^2} \left(-6-2 x^3\right)\right) \left(2 x+2 x^2+8 e^{4+2 x^2} x^3+36 x^4+12 x^7+e^{2+x^2} \left(-24 x^3-12 x^4-8 x^6\right)\right) \, dx","Integrate[E^(8 + 2*E^(4 + 2*x^2) + 2*x + 12*x^3 + 2*x^6 + 2*E^(2 + x^2)*(-6 - 2*x^3))*(2*x + 2*x^2 + 8*E^(4 + 2*x^2)*x^3 + 36*x^4 + 12*x^7 + E^(2 + x^2)*(-24*x^3 - 12*x^4 - 8*x^6)),x]","x^2 \exp \left(2 \left(x^6+6 x^3+e^{2 x^2+4}-2 e^{x^2+2} \left(x^3+3\right)+x+4\right)\right)","e^{2 \left(-x^3+e^{x^2+2}-3\right)^2+2 x-10} x^2",1,"E^(2*(4 + E^(4 + 2*x^2) + x + 6*x^3 + x^6 - 2*E^(2 + x^2)*(3 + x^3)))*x^2","A",1
7463,1,18,25,0.2206385,"\int \frac{2+e^x+x-x^2+\left(2+2 x-3 x^2+e^x (1+x)\right) \log (x)}{\left(2 x+e^x x+x^2-x^3\right) \log (x)} \, dx","Integrate[(2 + E^x + x - x^2 + (2 + 2*x - 3*x^2 + E^x*(1 + x))*Log[x])/((2*x + E^x*x + x^2 - x^3)*Log[x]),x]","\log \left(-x^2+x+e^x+2\right)+\log (x)+\log (\log (x))","\log \left(\left(x \left(-x^2+x+e^x+3\right)-x\right) \log (x)\right)-4+\log (5)",1,"Log[x] + Log[2 + E^x + x - x^2] + Log[Log[x]]","A",1
7464,1,21,21,0.1398012,"\int \frac{e \left(192 x+96 x^2+12 x^3\right)+\left(e^5 (-96-24 x)+e \left(192 x+48 x^2\right)\right) \log \left(e^4-2 x\right)}{\left(e^4 x^3-2 x^4\right) \log ^3\left(e^4-2 x\right)} \, dx","Integrate[(E*(192*x + 96*x^2 + 12*x^3) + (E^5*(-96 - 24*x) + E*(192*x + 48*x^2))*Log[E^4 - 2*x])/((E^4*x^3 - 2*x^4)*Log[E^4 - 2*x]^3),x]","\frac{3 e (x+4)^2}{x^2 \log ^2\left(e^4-2 x\right)}","\frac{3 e (x+4)^2}{x^2 \log ^2\left(e^4-2 x\right)}",1,"(3*E*(4 + x)^2)/(x^2*Log[E^4 - 2*x]^2)","A",1
7465,1,35,21,0.3417487,"\int \frac{50 x+5 x^2+x^4+e^{-16 x} \left(25+10 x+x^2\right)+e^{-8 x} \left(-1000-400 x-30 x^2+2 x^3\right)}{x^4+e^{-16 x} \left(25+10 x+x^2\right)+e^{-8 x} \left(10 x^2+2 x^3\right)} \, dx","Integrate[(50*x + 5*x^2 + x^4 + (25 + 10*x + x^2)/E^(16*x) + (-1000 - 400*x - 30*x^2 + 2*x^3)/E^(8*x))/(x^4 + (25 + 10*x + x^2)/E^(16*x) + (10*x^2 + 2*x^3)/E^(8*x)),x]","\frac{e^{8 x} \left(x^3-5 x-25\right)+x (x+5)}{e^{8 x} x^2+x+5}","x-\frac{5}{\frac{x^2}{x+5}+e^{-8 x}}",1,"(x*(5 + x) + E^(8*x)*(-25 - 5*x + x^3))/(5 + x + E^(8*x)*x^2)","A",1
7466,1,20,26,0.019661,"\int \frac{-144+72 x^2}{\left(48 x-71 x^2+24 x^3\right) \log ^2\left(\frac{2 x}{144-213 x+72 x^2}\right)} \, dx","Integrate[(-144 + 72*x^2)/((48*x - 71*x^2 + 24*x^3)*Log[(2*x)/(144 - 213*x + 72*x^2)]^2),x]","\frac{3}{\log \left(\frac{2 x}{72 x^2-213 x+144}\right)}","\frac{3}{\log \left(\frac{1}{\frac{36 (1-x) (2-x)}{x}+\frac{3}{2}}\right)}",1,"3/Log[(2*x)/(144 - 213*x + 72*x^2)]","A",1
7467,1,22,24,5.0569602,"\int \frac{1}{9} \exp \left(e^{\frac{1}{9} \left(4 e^{16} x-8 e^8 x^2+4 x^3\right)} (3+x)+\frac{1}{9} \left(4 e^{16} x-8 e^8 x^2+4 x^3\right)\right) \left(9+36 x^2+12 x^3+e^{16} (12+4 x)+e^8 \left(-48 x-16 x^2\right)\right) \, dx","Integrate[(E^(E^((4*E^16*x - 8*E^8*x^2 + 4*x^3)/9)*(3 + x) + (4*E^16*x - 8*E^8*x^2 + 4*x^3)/9)*(9 + 36*x^2 + 12*x^3 + E^16*(12 + 4*x) + E^8*(-48*x - 16*x^2)))/9,x]","e^{e^{\frac{4}{9} \left(e^8-x\right)^2 x} (x+3)}","e^{e^{\frac{4}{9} x \left(x-e^8\right)^2} (x+3)}+1",1,"E^(E^((4*(E^8 - x)^2*x)/9)*(3 + x))","A",1
7468,1,13,15,0.0114731,"\int \left(-125+125 x+125 \log \left(\frac{e^{10+x}}{x}\right)\right) \, dx","Integrate[-125 + 125*x + 125*Log[E^(10 + x)/x],x]","125 x \log \left(\frac{e^{x+10}}{x}\right)","125 x \log \left(\frac{e^{x+10}}{x}\right)+5",1,"125*x*Log[E^(10 + x)/x]","A",1
7469,1,40,26,0.7971919,"\int \frac{5 x+e^{5+e^x (-3+4 x) \log (x)} \left(-x+e^x \left(3 x-4 x^2+e (-3+4 x)\right)+e^x \left(-x^2-4 x^3+e \left(x+4 x^2\right)\right) \log (x)\right)}{x} \, dx","Integrate[(5*x + E^(5 + E^x*(-3 + 4*x)*Log[x])*(-x + E^x*(3*x - 4*x^2 + E*(-3 + 4*x)) + E^x*(-x^2 - 4*x^3 + E*(x + 4*x^2))*Log[x]))/x,x]","\frac{e^5 (e-x) (4 x+1) x^{e^x (4 x-3)+1}}{4 x^2+x}+5 x","(x-e) \left(5-e^{5-e^x (3-4 x) \log (x)}\right)",1,"5*x + (E^5*(E - x)*x^(1 + E^x*(-3 + 4*x))*(1 + 4*x))/(x + 4*x^2)","A",1
7470,1,24,27,0.1287831,"\int \frac{e^{\frac{-75-e^{e^3}+4 x+2 \log (4)}{x}} \left(75+e^{e^3}+x-2 \log (4)\right)}{x} \, dx","Integrate[(E^((-75 - E^E^3 + 4*x + 2*Log[4])/x)*(75 + E^E^3 + x - 2*Log[4]))/x,x]","16^{\frac{1}{x}} e^{-\frac{-4 x+e^{e^3}+75}{x}} x","x e^{\frac{2 x+2 (x-25+\log (4))-e^{e^3}-25}{x}}",1,"(16^x^(-1)*x)/E^((75 + E^E^3 - 4*x)/x)","A",1
7471,1,18,19,0.281394,"\int \frac{-12 x^2+2 x^3+4 x^2 \log (x)+\left(-40 x^2+4 x^3+12 x^2 \log (x)\right) \log (5 x)}{36-12 x+x^2+(-24+4 x) \log (x)+4 \log ^2(x)} \, dx","Integrate[(-12*x^2 + 2*x^3 + 4*x^2*Log[x] + (-40*x^2 + 4*x^3 + 12*x^2*Log[x])*Log[5*x])/(36 - 12*x + x^2 + (-24 + 4*x)*Log[x] + 4*Log[x]^2),x]","\frac{2 x^3 \log (5 x)}{x+2 \log (x)-6}","\frac{x^3 \log (5 x)}{\frac{x}{2}+\log (x)-3}",1,"(2*x^3*Log[5*x])/(-6 + x + 2*Log[x])","A",1
7472,1,30,26,0.0092527,"\int \frac{32-8 \left(i \pi +\log \left(-e^{3-e^3} \left(1-5 e^{-3+e^3}\right)\right)\right)}{x^3} \, dx","Integrate[(32 - 8*(I*Pi + Log[-(E^(3 - E^3)*(1 - 5*E^(-3 + E^3)))]))/x^3,x]","-\frac{32-8 i \pi -8 \log \left(5-e^{3-e^3}\right)}{2 x^2}","\frac{4 \left(-4+i \pi +\log \left(5-e^{3-e^3}\right)\right)}{x^2}",1,"-1/2*(32 - (8*I)*Pi - 8*Log[5 - E^(3 - E^3)])/x^2","A",1
7473,1,71,30,0.1091816,"\int \frac{e^{\frac{2 \left(2+4 x+4 x^2\right)}{x+x^2}} (-2-4 x)+15 x^2+49 x^3+62 x^4+39 x^5+13 x^6+2 x^7+e^{\frac{2+4 x+4 x^2}{x+x^2}} \left(-10-26 x-11 x^2+4 x^3+7 x^4+2 x^5\right)}{8 x^2+16 x^3+8 x^4} \, dx","Integrate[(E^((2*(2 + 4*x + 4*x^2))/(x + x^2))*(-2 - 4*x) + 15*x^2 + 49*x^3 + 62*x^4 + 39*x^5 + 13*x^6 + 2*x^7 + E^((2 + 4*x + 4*x^2)/(x + x^2))*(-10 - 26*x - 11*x^2 + 4*x^3 + 7*x^4 + 2*x^5))/(8*x^2 + 16*x^3 + 8*x^4),x]","\frac{1}{16} e^{-\frac{4}{x+1}} \left(2 e^{2 \left(\frac{1}{x+1}+\frac{1}{x}+2\right)} \left(x^2+3 x+5\right)+e^{\frac{4}{x+1}} x \left(x^3+6 x^2+19 x+30\right)+e^{\frac{4}{x}+8}\right)","\frac{1}{16} \left((x+4) x-x+e^{\frac{2}{x (x+1)}+4}+5\right)^2",1,"(E^(8 + 4/x) + 2*E^(2*(2 + x^(-1) + (1 + x)^(-1)))*(5 + 3*x + x^2) + E^(4/(1 + x))*x*(30 + 19*x + 6*x^2 + x^3))/(16*E^(4/(1 + x)))","B",1
7474,1,18,21,0.1721531,"\int \frac{-25 x^2-10 x^3-x^4+\left(-100 x-10 x^2+22 x^3+4 x^4\right) \log (-2+x)}{(-150+75 x) \log ^2(-2+x)} \, dx","Integrate[(-25*x^2 - 10*x^3 - x^4 + (-100*x - 10*x^2 + 22*x^3 + 4*x^4)*Log[-2 + x])/((-150 + 75*x)*Log[-2 + x]^2),x]","\frac{x^2 (x+5)^2}{75 \log (x-2)}","\frac{\left(\frac{x^2}{5}+x\right)^2}{3 \log (x-2)}",1,"(x^2*(5 + x)^2)/(75*Log[-2 + x])","A",1
7475,1,107,31,2.199277,"\int \frac{e^{-\frac{e^x}{\log (2)}} \left(e^x \left(-33 x^2-8 x^3+x^4\right)+\left(88 x+17 x^2-x^3\right) \log (2)+\left(e^x \left(-33 x-8 x^2+x^3\right)+(33+11 x) \log (2)\right) \log \left(9+6 x+x^2\right)\right)}{\left(1452+220 x-76 x^2+4 x^3\right) \log (2)} \, dx","Integrate[(E^x*(-33*x^2 - 8*x^3 + x^4) + (88*x + 17*x^2 - x^3)*Log[2] + (E^x*(-33*x - 8*x^2 + x^3) + (33 + 11*x)*Log[2])*Log[9 + 6*x + x^2])/(E^(E^x/Log[2])*(1452 + 220*x - 76*x^2 + 4*x^3)*Log[2]),x]","\frac{\int \frac{e^{-\frac{e^x}{\log (2)}} \left(\left(-x^3+17 x^2+88 x\right) \log (2)+\left(e^x \left(x^3-8 x^2-33 x\right)+(11 x+33) \log (2)\right) \log \left(x^2+6 x+9\right)+e^x \left(x^4-8 x^3-33 x^2\right)\right)}{4 x^3-76 x^2+220 x+1452} \, dx}{\log (2)}","\frac{x e^{-\frac{e^x}{\log (2)}} \left(x+\log \left((x+3)^2\right)\right)}{4 (11-x)}",1,"Integrate[(E^x*(-33*x^2 - 8*x^3 + x^4) + (88*x + 17*x^2 - x^3)*Log[2] + (E^x*(-33*x - 8*x^2 + x^3) + (33 + 11*x)*Log[2])*Log[9 + 6*x + x^2])/(E^(E^x/Log[2])*(1452 + 220*x - 76*x^2 + 4*x^3)), x]/Log[2]","F",1
7476,1,12,14,0.0059101,"\int \frac{1}{4} e^{9+e^x} \left(1+e^x x\right) \, dx","Integrate[(E^(9 + E^x)*(1 + E^x*x))/4,x]","\frac{1}{4} e^{e^x+9} x","\frac{1}{4} e^{e^x+9} x+4",1,"(E^(9 + E^x)*x)/4","A",1
7477,1,39,21,0.2459621,"\int \frac{1+e^{e^2+x} (-2 e-2 x)-x}{-x+e^{e^2+x} \left(e^2+2 e x+x^2\right)} \, dx","Integrate[(1 + E^(E^2 + x)*(-2*E - 2*x) - x)/(-x + E^(E^2 + x)*(E^2 + 2*E*x + x^2)),x]","x-\log \left(e^{x+e^2} x^2+2 e^{x+e^2+1} x-x+e^{x+e^2+2}\right)","x-\log \left(x-e^{x+e^2} (x+e)^2\right)",1,"x - Log[E^(2 + E^2 + x) - x + 2*E^(1 + E^2 + x)*x + E^(E^2 + x)*x^2]","A",1
7478,1,13,15,0.0050093,"\int -2 e^{e^{e^8}-x} \, dx","Integrate[-2*E^(E^E^8 - x),x]","2 e^{e^{e^8}-x}","2 e^{e^{e^8}-x}+16",1,"2*E^(E^E^8 - x)","A",1
7479,1,29,24,0.0219571,"\int \frac{-25 e^2 x^2+e^4 \left(-200 x+50 x^2\right)}{4 x^2-4 x^3+x^4+e^4 \left(64-64 x+16 x^2\right)+e^2 \left(32 x-32 x^2+8 x^3\right)} \, dx","Integrate[(-25*E^2*x^2 + E^4*(-200*x + 50*x^2))/(4*x^2 - 4*x^3 + x^4 + E^4*(64 - 64*x + 16*x^2) + E^2*(32*x - 32*x^2 + 8*x^3)),x]","\frac{25 e^2 \left(x-2 e^2 (x-2)\right)}{(x-2) \left(x+4 e^2\right)}","\frac{25 x^2}{2 (2-x) \left(-\frac{x}{e^2}-4\right)}",1,"(25*E^2*(-2*E^2*(-2 + x) + x))/((-2 + x)*(4*E^2 + x))","A",1
7480,1,24,21,0.0213265,"\int \frac{1}{2} e^{-2+\frac{e^{x^2}}{2}+x^2} \left(x+4 e^2 x\right) \, dx","Integrate[(E^(-2 + E^x^2/2 + x^2)*(x + 4*E^2*x))/2,x]","\frac{1}{2} \left(1+4 e^2\right) e^{\frac{e^{x^2}}{2}-2}","\left(2+\frac{1}{2 e^2}\right) e^{\frac{e^{x^2}}{2}}",1,"(E^(-2 + E^x^2/2)*(1 + 4*E^2))/2","A",1
7481,1,21,22,0.1005412,"\int \frac{e^{-x} \left(4+\left(-4+4 e^x x^6\right) \log (x)+(-20-4 x) \log (x) \log \left(\frac{\log (x)}{x}\right)\right)}{x^6 \log (x)} \, dx","Integrate[(4 + (-4 + 4*E^x*x^6)*Log[x] + (-20 - 4*x)*Log[x]*Log[Log[x]/x])/(E^x*x^6*Log[x]),x]","\frac{4 e^{-x} \log \left(\frac{\log (x)}{x}\right)}{x^5}+4 x","4 \left(\frac{e^{-x} \log \left(\frac{\log (x)}{x}\right)}{x^5}+x\right)+5",1,"4*x + (4*Log[Log[x]/x])/(E^x*x^5)","A",1
7482,1,24,24,0.1082543,"\int \frac{e^{e^{1+e^{1-x}+x-\log ^4(2)}} \left(-1+e^{1+e^{1-x}+x-\log ^4(2)} \left(x-e^{1-x} x\right)\right)}{x^2} \, dx","Integrate[(E^E^(1 + E^(1 - x) + x - Log[2]^4)*(-1 + E^(1 + E^(1 - x) + x - Log[2]^4)*(x - E^(1 - x)*x)))/x^2,x]","\frac{e^{e^{x+e^{1-x}+1-\log ^4(2)}}}{x}","\frac{e^{e^{x+e^{1-x}+1-\log ^4(2)}}}{x}",1,"E^E^(1 + E^(1 - x) + x - Log[2]^4)/x","A",1
7483,1,53,42,0.1730129,"\int \frac{380 x^4+100 e^{\frac{2 e^{2 x}}{x^2}} x^4-400 x^5+100 x^6+e^x \left(-40 x^2+80 x^3-20 x^4\right)+e^{\frac{e^{2 x}}{x^2}} \left(e^{3 x} (40-40 x)+400 x^4-200 x^5+e^{2 x} \left(-40 x+40 x^2\right)+e^x \left(-20 x^2+20 x^3\right)\right)}{e^{2 x} x^2+x^4-20 x^5+110 x^6+25 e^{\frac{2 e^{2 x}}{x^2}} x^6-100 x^7+25 x^8+e^x \left(-2 x^3+20 x^4-10 x^5\right)+e^{\frac{e^{2 x}}{x^2}} \left(10 e^x x^4-10 x^5+100 x^6-50 x^7\right)} \, dx","Integrate[(380*x^4 + 100*E^((2*E^(2*x))/x^2)*x^4 - 400*x^5 + 100*x^6 + E^x*(-40*x^2 + 80*x^3 - 20*x^4) + E^(E^(2*x)/x^2)*(E^(3*x)*(40 - 40*x) + 400*x^4 - 200*x^5 + E^(2*x)*(-40*x + 40*x^2) + E^x*(-20*x^2 + 20*x^3)))/(E^(2*x)*x^2 + x^4 - 20*x^5 + 110*x^6 + 25*E^((2*E^(2*x))/x^2)*x^6 - 100*x^7 + 25*x^8 + E^x*(-2*x^3 + 20*x^4 - 10*x^5) + E^(E^(2*x)/x^2)*(10*E^x*x^4 - 10*x^5 + 100*x^6 - 50*x^7)),x]","\frac{20 x \left(-e^{\frac{e^{2 x}}{x^2}}+x-2\right)}{5 e^{\frac{e^{2 x}}{x^2}} x^2+\left(-5 x^2+10 x-1\right) x+e^x}","\frac{4}{\frac{x-e^x}{5 \left(\left(e^{\frac{e^{2 x}}{x^2}}-x\right) x+2 x\right)}-x}",1,"(20*x*(-2 - E^(E^(2*x)/x^2) + x))/(E^x + 5*E^(E^(2*x)/x^2)*x^2 + x*(-1 + 10*x - 5*x^2))","A",1
7484,1,25,25,0.5119771,"\int \frac{-8+9 x-8 e^x x+8 x^2+\left(-18-32 x+e^x (16+16 x)\right) \log \left(\frac{1}{2} \left(8-9 x+8 e^x x-8 x^2\right)\right)}{8-9 x+8 e^x x-8 x^2} \, dx","Integrate[(-8 + 9*x - 8*E^x*x + 8*x^2 + (-18 - 32*x + E^x*(16 + 16*x))*Log[(8 - 9*x + 8*E^x*x - 8*x^2)/2])/(8 - 9*x + 8*E^x*x - 8*x^2),x]","\log ^2\left(-4 x^2+\left(4 e^x-\frac{9}{2}\right) x+4\right)-x","\log ^2\left(-4 \left(x-e^x+1\right) x-\frac{x}{2}+4\right)-x",1,"-x + Log[4 + (-9/2 + 4*E^x)*x - 4*x^2]^2","A",1
7485,1,17,35,0.0074418,"\int \frac{-73-24 x+12 x^2}{15-30 x+15 x^2} \, dx","Integrate[(-73 - 24*x + 12*x^2)/(15 - 30*x + 15*x^2),x]","\frac{1}{15} \left(12 (x-1)+\frac{85}{x-1}\right)","-\frac{\left(\frac{20}{3}-x\right) x}{1-x}+2 x+\frac{1}{5} (-x-1-\log (4))-2",1,"(85/(-1 + x) + 12*(-1 + x))/15","A",1
7486,1,21,32,0.0223367,"\int \frac{2-4 x-2 x^2+e^{2+x} \left(1+2 x+x^2\right)+e^x \left(30+60 x+30 x^2\right)}{1+2 x+x^2} \, dx","Integrate[(2 - 4*x - 2*x^2 + E^(2 + x)*(1 + 2*x + x^2) + E^x*(30 + 60*x + 30*x^2))/(1 + 2*x + x^2),x]","-2 x+30 e^x+e^{x+2}-\frac{4}{x+1}","2 \left(5 \left(3 e^x+5\right)-x\right)+e^{x+2}-\frac{4}{x+1}+e^5+5",1,"30*E^x + E^(2 + x) - 2*x - 4/(1 + x)","A",1
7487,1,12,19,0.0119954,"\int \frac{-1-2 e^{e^x+x} x \log ^2(x)}{x \log ^2(x)} \, dx","Integrate[(-1 - 2*E^(E^x + x)*x*Log[x]^2)/(x*Log[x]^2),x]","\frac{1}{\log (x)}-2 e^{e^x}","3-2 \left(e^{e^x}-\frac{1}{2 \log (x)}+2\right)",1,"-2*E^E^x + Log[x]^(-1)","A",1
7488,1,31,29,1.8245507,"\int \frac{e^{-x-8 x^2} \left(10 x-4 x^2-81 x^3-16 x^4-5 e^{x+8 x^2} \log ^4(9)\right)}{\left(25+10 x+x^2\right) \log ^4(9)} \, dx","Integrate[(E^(-x - 8*x^2)*(10*x - 4*x^2 - 81*x^3 - 16*x^4 - 5*E^(x + 8*x^2)*Log[9]^4))/((25 + 10*x + x^2)*Log[9]^4),x]","\frac{e^{-x (8 x+1)} x^2+5 \log ^4(9)}{(x+5) \log ^4(9)}","\frac{\frac{e^{-8 x^2-x} x^2}{\log ^4(9)}-x}{x+5}",1,"(x^2/E^(x*(1 + 8*x)) + 5*Log[9]^4)/((5 + x)*Log[9]^4)","A",1
7489,1,24,33,0.1254552,"\int \frac{5 x+\exp \left(e^{\frac{-3 x+3 \log (x)}{x}}+\frac{-3 x+3 \log (x)}{x}\right) (6-6 \log (x))}{2 x^2} \, dx","Integrate[(5*x + E^(E^((-3*x + 3*Log[x])/x) + (-3*x + 3*Log[x])/x)*(6 - 6*Log[x]))/(2*x^2),x]","\frac{1}{2} \left(2 e^{\frac{x^{3/x}}{e^3}}+5 \log (x)\right)","\frac{5}{2} \log \left(\frac{e^4 x}{5}-x\right)+e^{e^{\frac{3 (\log (x)-x)}{x}}}",1,"(2*E^(x^(3/x)/E^3) + 5*Log[x])/2","A",1
7490,1,33,33,0.0611357,"\int \frac{3 x^2+e^5 \left(-x^2-x^3\right)+\left(-6 x+2 e^5 x^2\right) \log \left(\frac{e^x x}{6}\right)+\left(-6 x+2 e^5 x^2\right) \log \left(\frac{3-e^5 x}{x}\right)}{-3 x^4+e^5 x^5+\left(-3+e^5 x\right) \log ^2\left(\frac{e^x x}{6}\right)+\left(6 x^2-2 e^5 x^3\right) \log \left(\frac{3-e^5 x}{x}\right)+\left(-3+e^5 x\right) \log ^2\left(\frac{3-e^5 x}{x}\right)+\log \left(\frac{e^x x}{6}\right) \left(6 x^2-2 e^5 x^3+\left(-6+2 e^5 x\right) \log \left(\frac{3-e^5 x}{x}\right)\right)} \, dx","Integrate[(3*x^2 + E^5*(-x^2 - x^3) + (-6*x + 2*E^5*x^2)*Log[(E^x*x)/6] + (-6*x + 2*E^5*x^2)*Log[(3 - E^5*x)/x])/(-3*x^4 + E^5*x^5 + (-3 + E^5*x)*Log[(E^x*x)/6]^2 + (6*x^2 - 2*E^5*x^3)*Log[(3 - E^5*x)/x] + (-3 + E^5*x)*Log[(3 - E^5*x)/x]^2 + Log[(E^x*x)/6]*(6*x^2 - 2*E^5*x^3 + (-6 + 2*E^5*x)*Log[(3 - E^5*x)/x])),x]","\frac{x^2}{-x^2+\log \left(\frac{3}{x}-e^5\right)+\log \left(\frac{e^x x}{6}\right)}","\frac{x^2}{-x^2+\log \left(\frac{3}{x}-e^5\right)+\log \left(\frac{e^x x}{6}\right)}",1,"x^2/(-x^2 + Log[-E^5 + 3/x] + Log[(E^x*x)/6])","A",1
7491,1,34,21,0.1825202,"\int \frac{5 e^{50+2 x}+10 e^{25+x} x+5 x^2+e^{3 x} \left(-9+18 e^{25+x}+27 x\right)}{5 e^{50+2 x}+10 e^{25+x} x+5 x^2} \, dx","Integrate[(5*E^(50 + 2*x) + 10*E^(25 + x)*x + 5*x^2 + E^(3*x)*(-9 + 18*E^(25 + x) + 27*x))/(5*E^(50 + 2*x) + 10*E^(25 + x)*x + 5*x^2),x]","\frac{5 x^2+5 e^{x+25} x+9 e^{3 x}}{5 \left(x+e^{x+25}\right)}","x+\frac{9 e^{3 x}}{5 \left(x+e^{x+25}\right)}-3",1,"(9*E^(3*x) + 5*E^(25 + x)*x + 5*x^2)/(5*(E^(25 + x) + x))","A",1
7492,1,21,23,0.0952674,"\int \frac{e^{e^x} \left(96+32 x+e^x \left(96 x+16 x^2\right)\right)}{i \pi +\log (25)} \, dx","Integrate[(E^E^x*(96 + 32*x + E^x*(96*x + 16*x^2)))/(I*Pi + Log[25]),x]","\frac{16 e^{e^x} x (x+6)}{\log (25)+i \pi }","-3+\frac{16 e^{e^x} x (x+6)}{\log (25)+i \pi }",1,"(16*E^E^x*x*(6 + x))/(I*Pi + Log[25])","A",1
7493,1,4,15,0.0003814,"\int -\frac{1}{x} \, dx","Integrate[-x^(-1),x]","-\log (x)","\frac{2 x-x \log (2 x)}{x}",1,"-Log[x]","A",1
7494,1,22,28,0.1085511,"\int \frac{1-20 x+12 x^3+\left(19-12 x^2\right) \log (x)+(x-\log (x)) \log \left(-\frac{e^{4+e^4}}{-x+\log (x)}\right)}{-x+\log (x)} \, dx","Integrate[(1 - 20*x + 12*x^3 + (19 - 12*x^2)*Log[x] + (x - Log[x])*Log[-(E^(4 + E^4)/(-x + Log[x]))])/(-x + Log[x]),x]","-x \left(4 x^2+\log \left(\frac{1}{x-\log (x)}\right)+e^4-15\right)","x \left(-4 x^2-\log \left(\frac{e^{4+e^4}}{x-\log (x)}\right)+19\right)",1,"-(x*(-15 + E^4 + 4*x^2 + Log[(x - Log[x])^(-1)]))","A",1
7495,1,61,30,0.6801397,"\int \frac{80 e^{-2 e^5+2 x}+40 e^{-e^5+x} \log (5)+5 \log ^2(5)+\exp \left(\frac{5 e^{-e^5+x}+2 e^{-e^5+x} \log (\log (4))}{4 e^{-e^5+x}+\log (5)}\right) \left(5 e^{-e^5+x} \log (5)+2 e^{-e^5+x} \log (5) \log (\log (4))\right)}{16 e^{-2 e^5+2 x}+8 e^{-e^5+x} \log (5)+\log ^2(5)} \, dx","Integrate[(80*E^(-2*E^5 + 2*x) + 40*E^(-E^5 + x)*Log[5] + 5*Log[5]^2 + E^((5*E^(-E^5 + x) + 2*E^(-E^5 + x)*Log[Log[4]])/(4*E^(-E^5 + x) + Log[5]))*(5*E^(-E^5 + x)*Log[5] + 2*E^(-E^5 + x)*Log[5]*Log[Log[4]]))/(16*E^(-2*E^5 + 2*x) + 8*E^(-E^5 + x)*Log[5] + Log[5]^2),x]","5 x+e^{5/4} 5^{-\frac{5 e^{e^5}}{4 \left(4 e^x+e^{e^5} \log (5)\right)}} \log ^{\frac{2 e^x}{4 e^x+e^{e^5} \log (5)}}(4)","5 x+e^{\frac{5+2 \log (\log (4))}{e^{e^5-x} \log (5)+4}}",1,"5*x + (E^(5/4)*Log[4]^((2*E^x)/(4*E^x + E^E^5*Log[5])))/5^((5*E^E^5)/(4*(4*E^x + E^E^5*Log[5])))","B",0
7496,1,29,27,0.1476413,"\int \frac{\left(8-2 e^x-2 x\right) \log \left(-4+e^x+x\right)+\left(12 x+21 x^2-6 x^3+e^x \left(-3 x-6 x^2\right)\right) \log (x) \log ^2\left(-4+e^x+x\right)+\left(x+e^x x\right) \log (x) \log \left(\log ^2(x)\right)}{\left(-12 x+3 e^x x+3 x^2\right) \log (x) \log ^2\left(-4+e^x+x\right)} \, dx","Integrate[((8 - 2*E^x - 2*x)*Log[-4 + E^x + x] + (12*x + 21*x^2 - 6*x^3 + E^x*(-3*x - 6*x^2))*Log[x]*Log[-4 + E^x + x]^2 + (x + E^x*x)*Log[x]*Log[Log[x]^2])/((-12*x + 3*E^x*x + 3*x^2)*Log[x]*Log[-4 + E^x + x]^2),x]","\frac{1}{3} \left(-3 x^2-3 x-\frac{\log \left(\log ^2(x)\right)}{\log \left(x+e^x-4\right)}\right)","-x^2-x-\frac{\log \left(\log ^2(x)\right)}{3 \log \left(x+e^x-4\right)}",1,"(-3*x - 3*x^2 - Log[Log[x]^2]/Log[-4 + E^x + x])/3","A",1
7497,1,25,25,5.1152903,"\int \frac{-20-4 x+(5+x) \log \left(\frac{5+x}{x}\right)+\log (x) \left(5-20 x-4 x^2+e^x \left(20 x+4 x^2\right)+\left(5 x+x^2+e^x \left(-5 x-x^2\right)\right) \log \left(\frac{5+x}{x}\right)\right)}{\log (x) \left(-20 x-4 x^2+\left(5 x+x^2\right) \log \left(\frac{5+x}{x}\right)\right)} \, dx","Integrate[(-20 - 4*x + (5 + x)*Log[(5 + x)/x] + Log[x]*(5 - 20*x - 4*x^2 + E^x*(20*x + 4*x^2) + (5*x + x^2 + E^x*(-5*x - x^2))*Log[(5 + x)/x]))/(Log[x]*(-20*x - 4*x^2 + (5*x + x^2)*Log[(5 + x)/x])),x]","x-e^x+\log (\log (x))-\log \left(4-\log \left(\frac{x+5}{x}\right)\right)","\log \left(\frac{e^{x-e^x} \log (x)}{\log \left(\frac{x+5}{x}\right)-4}\right)",1,"-E^x + x + Log[Log[x]] - Log[4 - Log[(5 + x)/x]]","A",1
7498,1,39,30,0.5346511,"\int \frac{2205-13230 x+31080 x^2-36120 x^3+20900 x^4-4840 x^5+e^x \left(-105+430 x-645 x^2+430 x^3-110 x^4\right)}{441 x^2-2646 x^3+6657 x^4-8988 x^5+6868 x^6-2816 x^7+484 x^8+e^{2 x} \left(1-4 x+6 x^2-4 x^3+x^4\right)+e^x \left(-42 x+210 x^2-422 x^3+426 x^4-216 x^5+44 x^6\right)} \, dx","Integrate[(2205 - 13230*x + 31080*x^2 - 36120*x^3 + 20900*x^4 - 4840*x^5 + E^x*(-105 + 430*x - 645*x^2 + 430*x^3 - 110*x^4))/(441*x^2 - 2646*x^3 + 6657*x^4 - 8988*x^5 + 6868*x^6 - 2816*x^7 + 484*x^8 + E^(2*x)*(1 - 4*x + 6*x^2 - 4*x^3 + x^4) + E^x*(-42*x + 210*x^2 - 422*x^3 + 426*x^4 - 216*x^5 + 44*x^6)),x]","-\frac{5 \left(-22 x^2+42 x-21\right)}{(x-1) \left(x \left(22 x^2-42 x+21\right)+e^x (x-1)\right)}","\frac{5}{x^2+\frac{e^x}{\frac{x^2}{(1-x)^2}+21}-x}",1,"(-5*(-21 + 42*x - 22*x^2))/((-1 + x)*(E^x*(-1 + x) + x*(21 - 42*x + 22*x^2)))","A",1
7499,0,0,21,4.3258357,"\int \exp \left(1+4 x+6 x^2+4 x^3+x^4+\left(-4-12 x-12 x^2-4 x^3\right) \log \left((8+i \pi )^2\right)+\left(6+12 x+6 x^2\right) \log ^2\left((8+i \pi )^2\right)+(-4-4 x) \log ^3\left((8+i \pi )^2\right)+\log ^4\left((8+i \pi )^2\right)\right) \left(20+60 x+60 x^2+20 x^3+\left(-60-120 x-60 x^2\right) \log \left((8+i \pi )^2\right)+(60+60 x) \log ^2\left((8+i \pi )^2\right)-20 \log ^3\left((8+i \pi )^2\right)\right) \, dx","Integrate[E^(1 + 4*x + 6*x^2 + 4*x^3 + x^4 + (-4 - 12*x - 12*x^2 - 4*x^3)*Log[(8 + I*Pi)^2] + (6 + 12*x + 6*x^2)*Log[(8 + I*Pi)^2]^2 + (-4 - 4*x)*Log[(8 + I*Pi)^2]^3 + Log[(8 + I*Pi)^2]^4)*(20 + 60*x + 60*x^2 + 20*x^3 + (-60 - 120*x - 60*x^2)*Log[(8 + I*Pi)^2] + (60 + 60*x)*Log[(8 + I*Pi)^2]^2 - 20*Log[(8 + I*Pi)^2]^3),x]","\int \exp \left(1+4 x+6 x^2+4 x^3+x^4+\left(-4-12 x-12 x^2-4 x^3\right) \log \left((8+i \pi )^2\right)+\left(6+12 x+6 x^2\right) \log ^2\left((8+i \pi )^2\right)+(-4-4 x) \log ^3\left((8+i \pi )^2\right)+\log ^4\left((8+i \pi )^2\right)\right) \left(20+60 x+60 x^2+20 x^3+\left(-60-120 x-60 x^2\right) \log \left((8+i \pi )^2\right)+(60+60 x) \log ^2\left((8+i \pi )^2\right)-20 \log ^3\left((8+i \pi )^2\right)\right) \, dx","5 e^{\left(-x-1+\log \left((8+i \pi )^2\right)\right)^4}",1,"Integrate[E^(1 + 4*x + 6*x^2 + 4*x^3 + x^4 + (-4 - 12*x - 12*x^2 - 4*x^3)*Log[(8 + I*Pi)^2] + (6 + 12*x + 6*x^2)*Log[(8 + I*Pi)^2]^2 + (-4 - 4*x)*Log[(8 + I*Pi)^2]^3 + Log[(8 + I*Pi)^2]^4)*(20 + 60*x + 60*x^2 + 20*x^3 + (-60 - 120*x - 60*x^2)*Log[(8 + I*Pi)^2] + (60 + 60*x)*Log[(8 + I*Pi)^2]^2 - 20*Log[(8 + I*Pi)^2]^3), x]","F",-1
7500,1,45,27,1.8156898,"\int \frac{\exp \left(\frac{1}{4} \left(-9+24 x-16 x^2-(-12+16 x) \log \left(4 x-x^2\right)-4 \log ^2\left(4 x-x^2\right)\right)\right) \left(-36-6 x+90 x^2-24 x^3+\left(24+36 x-12 x^2\right) \log \left(4 x-x^2\right)\right)}{-4 x+x^2} \, dx","Integrate[(E^((-9 + 24*x - 16*x^2 - (-12 + 16*x)*Log[4*x - x^2] - 4*Log[4*x - x^2]^2)/4)*(-36 - 6*x + 90*x^2 - 24*x^3 + (24 + 36*x - 12*x^2)*Log[4*x - x^2]))/(-4*x + x^2),x]","-3 (x-4)^3 x^3 (-((x-4) x))^{-4 x} \exp \left(-4 x^2+6 x-\log ^2(-((x-4) x))-\frac{9}{4}\right)","3 e^{-\left(\log \left(4 x-x^2\right)+2 x-\frac{3}{2}\right)^2}+1",1,"(-3*E^(-9/4 + 6*x - 4*x^2 - Log[-((-4 + x)*x)]^2)*(-4 + x)^3*x^3)/(-((-4 + x)*x))^(4*x)","A",1
7501,1,29,34,0.0870997,"\int \frac{\left(-1400+200 x+70 x^2-10 x^3+e^{2 x} (-56+8 x)+e^x \left(560-80 x-14 x^2+2 x^3\right)\right) \log (x)+\left(-700+200 x-35 x^2+e^{2 x} (-28+8 x)+e^x \left(280-80 x+7 x^2-7 x^3+x^4\right)\right) \log ^2(x)}{51200+2048 e^{2 x}-5120 x^2+128 x^4+e^x \left(-20480+1024 x^2\right)} \, dx","Integrate[((-1400 + 200*x + 70*x^2 - 10*x^3 + E^(2*x)*(-56 + 8*x) + E^x*(560 - 80*x - 14*x^2 + 2*x^3))*Log[x] + (-700 + 200*x - 35*x^2 + E^(2*x)*(-28 + 8*x) + E^x*(280 - 80*x + 7*x^2 - 7*x^3 + x^4))*Log[x]^2)/(51200 + 2048*E^(2*x) - 5120*x^2 + 128*x^4 + E^x*(-20480 + 1024*x^2)),x]","\frac{\left(e^x-5\right) (x-7) x \log ^2(x)}{128 \left(x^2+4 e^x-20\right)}","\frac{(7-x) x \log ^2(x)}{256 \left(\frac{x^2}{2 \left(5-e^x\right)}-2\right)}",1,"((-5 + E^x)*(-7 + x)*x*Log[x]^2)/(128*(-20 + 4*E^x + x^2))","A",1
7502,1,25,25,0.7395697,"\int \frac{e^{-\log ^2\left(x^2\right)} \left(-x+e^{\log ^2\left(x^2\right)} \left(3 x-x^2+e^{21+x} \left(-3 x+x^2\right)\right)+(-12+4 x) \log (-3+x) \log \left(x^2\right)\right)}{-3 x+x^2} \, dx","Integrate[(-x + E^Log[x^2]^2*(3*x - x^2 + E^(21 + x)*(-3*x + x^2)) + (-12 + 4*x)*Log[-3 + x]*Log[x^2])/(E^Log[x^2]^2*(-3*x + x^2)),x]","-e^{-\log ^2\left(x^2\right)} \log (x-3)-x+e^{x+21}","-e^{-\log ^2\left(x^2\right)} \log (x-3)-x+e^{x+21}",1,"E^(21 + x) - x - Log[-3 + x]/E^Log[x^2]^2","A",1
7503,1,19,27,0.0211949,"\int \left(6-2 e^x+e^{x-4 e^{25} x} \left(-2+8 e^{25}\right)\right) \, dx","Integrate[6 - 2*E^x + E^(x - 4*E^25*x)*(-2 + 8*E^25),x]","-2 \left(-3 x+e^x+e^{x-4 e^{25} x}\right)","2 x+2 \left(2 x-e^x-e^{x-4 e^{25} x}\right)",1,"-2*(E^x + E^(x - 4*E^25*x) - 3*x)","A",1
7504,0,0,28,0.1532258,"\int \frac{e^{-x} \left(\left(-36+24 e^2-4 e^4\right) \log \left(\frac{81-12 e^6+e^8+e^2 (-108-324 x)+486 x+729 x^2+e^4 (54+54 x)}{81 x^2}\right)+\left(-9 x+6 e^2 x-e^4 x-27 x^2\right) \log ^2\left(\frac{81-12 e^6+e^8+e^2 (-108-324 x)+486 x+729 x^2+e^4 (54+54 x)}{81 x^2}\right)\right)}{9 x-6 e^2 x+e^4 x+27 x^2} \, dx","Integrate[((-36 + 24*E^2 - 4*E^4)*Log[(81 - 12*E^6 + E^8 + E^2*(-108 - 324*x) + 486*x + 729*x^2 + E^4*(54 + 54*x))/(81*x^2)] + (-9*x + 6*E^2*x - E^4*x - 27*x^2)*Log[(81 - 12*E^6 + E^8 + E^2*(-108 - 324*x) + 486*x + 729*x^2 + E^4*(54 + 54*x))/(81*x^2)]^2)/(E^x*(9*x - 6*E^2*x + E^4*x + 27*x^2)),x]","\int \frac{e^{-x} \left(\left(-36+24 e^2-4 e^4\right) \log \left(\frac{81-12 e^6+e^8+e^2 (-108-324 x)+486 x+729 x^2+e^4 (54+54 x)}{81 x^2}\right)+\left(-9 x+6 e^2 x-e^4 x-27 x^2\right) \log ^2\left(\frac{81-12 e^6+e^8+e^2 (-108-324 x)+486 x+729 x^2+e^4 (54+54 x)}{81 x^2}\right)\right)}{9 x-6 e^2 x+e^4 x+27 x^2} \, dx","e^{-x} \log ^2\left(\left(\frac{\left(\frac{e^2}{3}-1\right)^2}{x}+3\right)^2\right)",1,"Integrate[((-36 + 24*E^2 - 4*E^4)*Log[(81 - 12*E^6 + E^8 + E^2*(-108 - 324*x) + 486*x + 729*x^2 + E^4*(54 + 54*x))/(81*x^2)] + (-9*x + 6*E^2*x - E^4*x - 27*x^2)*Log[(81 - 12*E^6 + E^8 + E^2*(-108 - 324*x) + 486*x + 729*x^2 + E^4*(54 + 54*x))/(81*x^2)]^2)/(E^x*(9*x - 6*E^2*x + E^4*x + 27*x^2)), x]","F",-1
7505,1,117,24,5.3988766,"\int \frac{1}{8} \exp \left(\frac{1}{16} \left(144-96 x+112 x^2-32 x^3+16 x^4+e^x \left(24 x-8 x^2+8 x^3\right) \log (4)+e^{2 x} x^2 \log ^2(4)\right)\right) \left(-48+112 x-48 x^2+32 x^3+e^x \left(12+4 x+8 x^2+4 x^3\right) \log (4)+e^{2 x} \left(x+x^2\right) \log ^2(4)\right) \, dx","Integrate[(E^((144 - 96*x + 112*x^2 - 32*x^3 + 16*x^4 + E^x*(24*x - 8*x^2 + 8*x^3)*Log[4] + E^(2*x)*x^2*Log[4]^2)/16)*(-48 + 112*x - 48*x^2 + 32*x^3 + E^x*(12 + 4*x + 8*x^2 + 4*x^3)*Log[4] + E^(2*x)*(x + x^2)*Log[4]^2))/8,x]","\frac{1}{8} \int \left(32 x^3-48 x^2+e^{2 x} \left(x^2+x\right) \log ^2(4)+e^x \left(4 x^3+8 x^2+4 x+12\right) \log (4)+112 x-48\right) \exp \left(\frac{1}{16} \left(16 x^4-32 x^3+112 x^2+e^{2 x} x^2 \log ^2(4)+e^x \left(8 x^3-8 x^2+24 x\right) \log (4)-96 x+144\right)\right) \, dx","\exp \left(\left(-x-\left(x \left(x+\frac{1}{4} e^x \log (4)-2\right)\right)-3\right)^2\right)",1,"Integrate[E^((144 - 96*x + 112*x^2 - 32*x^3 + 16*x^4 + E^x*(24*x - 8*x^2 + 8*x^3)*Log[4] + E^(2*x)*x^2*Log[4]^2)/16)*(-48 + 112*x - 48*x^2 + 32*x^3 + E^x*(12 + 4*x + 8*x^2 + 4*x^3)*Log[4] + E^(2*x)*(x + x^2)*Log[4]^2), x]/8","F",1
7506,1,33,25,0.0398345,"\int \frac{-9 x+36 x \log \left(\frac{1}{4} (16+e+4 x)\right)+(32+2 e+8 x) \log ^3\left(\frac{1}{4} (16+e+4 x)\right)}{\left(32 x+2 e x+8 x^2\right) \log ^3\left(\frac{1}{4} (16+e+4 x)\right)} \, dx","Integrate[(-9*x + 36*x*Log[(16 + E + 4*x)/4] + (32 + 2*E + 8*x)*Log[(16 + E + 4*x)/4]^3)/((32*x + 2*E*x + 8*x^2)*Log[(16 + E + 4*x)/4]^3),x]","\frac{9}{16 \log ^2\left(x+\frac{e}{4}+4\right)}+\log (x)-\frac{9}{2 \log \left(x+\frac{e}{4}+4\right)}","\left(3-\frac{3}{4 \log \left(\frac{1}{4} (4 x+e)+4\right)}\right)^2+\log (x)",1,"Log[x] + 9/(16*Log[4 + E/4 + x]^2) - 9/(2*Log[4 + E/4 + x])","A",1
7507,1,32,29,5.1131753,"\int \left(-1+\exp \left(e^{-2 x+e^x x-e^{6 x} x+2 x^2}-2 x+e^x x-e^{6 x} x+2 x^2\right) \left(-4+e^{6 x} (-2-12 x)+8 x+e^x (2+2 x)\right)\right) \, dx","Integrate[-1 + E^(E^(-2*x + E^x*x - E^(6*x)*x + 2*x^2) - 2*x + E^x*x - E^(6*x)*x + 2*x^2)*(-4 + E^(6*x)*(-2 - 12*x) + 8*x + E^x*(2 + 2*x)),x]","2 e^{e^{2 x^2+e^x x-e^{6 x} x-2 x}}-x","2 e^{e^{x^2+\left(x+e^x-e^{6 x}-2\right) x}}-x",1,"2*E^E^(-2*x + E^x*x - E^(6*x)*x + 2*x^2) - x","A",1
7508,1,23,21,0.0577193,"\int \frac{\left(-8 x+12 x^2+72 x^3+32 x^4\right) \log (x)+\left(64-216 x-148 x^2-44 x^3-16 x^4+\left(224 x+284 x^2+60 x^3+32 x^4\right) \log (x)\right) \log \left(8+x+x^2\right)}{\left(8 x+x^2+x^3\right) \log ^2(x)} \, dx","Integrate[((-8*x + 12*x^2 + 72*x^3 + 32*x^4)*Log[x] + (64 - 216*x - 148*x^2 - 44*x^3 - 16*x^4 + (224*x + 284*x^2 + 60*x^3 + 32*x^4)*Log[x])*Log[8 + x + x^2])/((8*x + x^2 + x^3)*Log[x]^2),x]","\frac{4 \left(4 x^2+7 x-2\right) \log \left(x^2+x+8\right)}{\log (x)}","\frac{4 (x+2) (4 x-1) \log \left(x^2+x+8\right)}{\log (x)}",1,"(4*(-2 + 7*x + 4*x^2)*Log[8 + x + x^2])/Log[x]","A",1
7509,1,45,24,0.3332579,"\int \frac{30000 e^{2 x^2} x^4+e^{-4+2 e^x-2 x} \left(-15000-15000 x+15000 e^x x\right)+e^{-2+e^x-x+x^2} \left(-15000 x-15000 x^2+15000 e^x x^2+30000 x^3\right)}{x^3} \, dx","Integrate[(30000*E^(2*x^2)*x^4 + E^(-4 + 2*E^x - 2*x)*(-15000 - 15000*x + 15000*E^x*x) + E^(-2 + E^x - x + x^2)*(-15000*x - 15000*x^2 + 15000*E^x*x^2 + 30000*x^3))/x^3,x]","7500 \left(e^{2 x^2}+\frac{e^{-2 x+2 e^x-4}}{x^2}\right)+\frac{15000 e^{x^2-x+e^x-2}}{x}","7500 \left(e^{x^2}+\frac{e^{-x+e^x-2}}{x}\right)^2",1,"7500*(E^(2*x^2) + E^(-4 + 2*E^x - 2*x)/x^2) + (15000*E^(-2 + E^x - x + x^2))/x","A",1
7510,1,9,11,0.0000654,"\int (225+45 \log (2)) \, dx","Integrate[225 + 45*Log[2],x]","225 x+45 x \log (2)","5 (9 x+2) (5+\log (2))",1,"225*x + 45*x*Log[2]","A",1
7511,1,27,25,0.8026965,"\int \frac{-16 e^{2 x} \log (5)+e^x \left(-48 x^2+12 x^3\right) \log (5)-32 e^{2 x} \log (5) \log (6 x)}{9 x^7+24 e^x x^5 \log (6 x)+16 e^{2 x} x^3 \log ^2(6 x)} \, dx","Integrate[(-16*E^(2*x)*Log[5] + E^x*(-48*x^2 + 12*x^3)*Log[5] - 32*E^(2*x)*Log[5]*Log[6*x])/(9*x^7 + 24*E^x*x^5*Log[6*x] + 16*E^(2*x)*x^3*Log[6*x]^2),x]","\frac{4 e^x \log (5)}{x^2 \left(3 x^2+4 e^x \log (6 x)\right)}","\frac{\log (5)}{x^2 \left(\frac{3}{4} e^{-x} x^2+\log (6 x)\right)}",1,"(4*E^x*Log[5])/(x^2*(3*x^2 + 4*E^x*Log[6*x]))","A",1
7512,1,29,29,0.4479512,"\int \frac{e^{-2 e^{e^x}} \left(e^{\frac{4}{-1+x}} \left(2 x-2 x^2\right)+e^{\frac{8}{-1+x}} \left(1-10 x+x^2\right)+\left(-2 x+2 x^2+e^{\frac{4}{-1+x}} \left(-2+12 x-2 x^2\right)\right) \log (-1+x)+\left(1-2 x+x^2\right) \log ^2(-1+x)+e^{e^x} \left(e^{\frac{8}{-1+x}+x} \left(-2 x+4 x^2-2 x^3\right)+e^{\frac{4}{-1+x}+x} \left(4 x-8 x^2+4 x^3\right) \log (-1+x)+e^x \left(-2 x+4 x^2-2 x^3\right) \log ^2(-1+x)\right)\right)}{1-2 x+x^2} \, dx","Integrate[(E^(4/(-1 + x))*(2*x - 2*x^2) + E^(8/(-1 + x))*(1 - 10*x + x^2) + (-2*x + 2*x^2 + E^(4/(-1 + x))*(-2 + 12*x - 2*x^2))*Log[-1 + x] + (1 - 2*x + x^2)*Log[-1 + x]^2 + E^E^x*(E^(8/(-1 + x) + x)*(-2*x + 4*x^2 - 2*x^3) + E^(4/(-1 + x) + x)*(4*x - 8*x^2 + 4*x^3)*Log[-1 + x] + E^x*(-2*x + 4*x^2 - 2*x^3)*Log[-1 + x]^2))/(E^(2*E^E^x)*(1 - 2*x + x^2)),x]","e^{-2 e^{e^x}} x \left(e^{\frac{4}{x-1}}-\log (x-1)\right)^2","e^{-2 e^{e^x}} x \left(e^{\frac{4}{x-1}}-\log (x-1)\right)^2",1,"(x*(E^(4/(-1 + x)) - Log[-1 + x])^2)/E^(2*E^E^x)","A",1
7513,1,16,16,0.1532911,"\int \frac{-2 x+(4+2 x) \log (2+x)+\left(2 x+x^2+(4+2 x) \log (2+x)\right) \log \left(-\frac{x}{x+2 \log (2+x)}\right)}{2 x+x^2+(4+2 x) \log (2+x)} \, dx","Integrate[(-2*x + (4 + 2*x)*Log[2 + x] + (2*x + x^2 + (4 + 2*x)*Log[2 + x])*Log[-(x/(x + 2*Log[2 + x]))])/(2*x + x^2 + (4 + 2*x)*Log[2 + x]),x]","x \log \left(-\frac{x}{x+2 \log (x+2)}\right)","x \log \left(\frac{1}{-\frac{2 \log (x+2)}{x}-1}\right)",1,"x*Log[-(x/(x + 2*Log[2 + x]))]","A",1
7514,1,31,37,1.2431305,"\int \frac{-5 x^2+\left(8 x^2+x^2 \log \left(\frac{14}{5}\right)\right)^{\left.\frac{1}{5}\right/x} \left(6-3 \log \left(8 x^2+x^2 \log \left(\frac{14}{5}\right)\right)\right)}{5 x^2} \, dx","Integrate[(-5*x^2 + (8*x^2 + x^2*Log[14/5])^(1/(5*x))*(6 - 3*Log[8*x^2 + x^2*Log[14/5]]))/(5*x^2),x]","3 \left(x^2\right)^{\left.\frac{1}{5}\right/x} \left(8+\log \left(\frac{14}{5}\right)\right)^{\left.\frac{1}{5}\right/x}-x","3 \left(x^2\right)^{\left.\frac{1}{5}\right/x} \left(\frac{1}{2} \left(16+2 \log \left(\frac{14}{5}\right)\right)\right)^{\left.\frac{1}{5}\right/x}-x",1,"-x + 3*(x^2)^(1/(5*x))*(8 + Log[14/5])^(1/(5*x))","A",1
7515,1,9,16,0.0000735,"\int (-9+10 x) \, dx","Integrate[-9 + 10*x,x]","5 x^2-9 x","5 \left(x^2-2 x+4+\log ^2(3)\right)+x",1,"-9*x + 5*x^2","A",1
7516,1,16,27,0.1544288,"\int \frac{-160+24 x^2+16 x^3+\left(-160-24 x^2-8 x^3\right) \log \left(\frac{20+3 x^2+x^3}{x^2}\right)}{20+3 x^2+x^3+\left(-40-6 x^2-2 x^3\right) \log \left(\frac{20+3 x^2+x^3}{x^2}\right)+\left(20+3 x^2+x^3\right) \log ^2\left(\frac{20+3 x^2+x^3}{x^2}\right)} \, dx","Integrate[(-160 + 24*x^2 + 16*x^3 + (-160 - 24*x^2 - 8*x^3)*Log[(20 + 3*x^2 + x^3)/x^2])/(20 + 3*x^2 + x^3 + (-40 - 6*x^2 - 2*x^3)*Log[(20 + 3*x^2 + x^3)/x^2] + (20 + 3*x^2 + x^3)*Log[(20 + 3*x^2 + x^3)/x^2]^2),x]","-\frac{8 x}{\log \left(\frac{20}{x^2}+x+3\right)-1}","\frac{8 x}{1-\log \left(x-\frac{2 x-\frac{20}{x}}{x}+5\right)}",1,"(-8*x)/(-1 + Log[3 + 20/x^2 + x])","A",1
7517,1,16,16,0.0206555,"\int \frac{e^{1+x} x-\log \left(3 e^{4+e^{1+x}}\right)}{x^2} \, dx","Integrate[(E^(1 + x)*x - Log[3*E^(4 + E^(1 + x))])/x^2,x]","\frac{\log \left(3 e^{e^{x+1}+4}\right)}{x}","\frac{\log \left(3 e^{e^{x+1}+4}\right)}{x}",1,"Log[3*E^(4 + E^(1 + x))]/x","A",1
7518,1,82,21,0.1977696,"\int \frac{\left(25-5 x-5 e^{\frac{x}{\log (3)}} x\right)^2 \left((-5+3 x) \log (3)+e^{\frac{x}{\log (3)}} \left(2 x^2+3 x \log (3)\right)\right)}{(-5+x) \log (3)+e^{\frac{x}{\log (3)}} x \log (3)} \, dx","Integrate[((25 - 5*x - 5*E^(x/Log[3])*x)^2*((-5 + 3*x)*Log[3] + E^(x/Log[3])*(2*x^2 + 3*x*Log[3])))/((-5 + x)*Log[3] + E^(x/Log[3])*x*Log[3]),x]","25 \left(x^3+x^3 e^{\frac{2 x}{\log (3)}}-10 x^2+e^{\frac{x}{\log (3)}} \left(2 x^3-10 x^2+x \left(6 \log ^2(3)-\log (9) \log (27)\right)-6 \log ^3(3)+\log ^2(3) (\log (729)-15)+\log (27) \log (243)\right)+25 x\right)","25 x \left(-x+x \left(-e^{\frac{x}{\log (3)}}\right)+5\right)^2",1,"25*(25*x - 10*x^2 + x^3 + E^((2*x)/Log[3])*x^3 + E^(x/Log[3])*(-10*x^2 + 2*x^3 - 6*Log[3]^3 + x*(6*Log[3]^2 - Log[9]*Log[27]) + Log[27]*Log[243] + Log[3]^2*(-15 + Log[729])))","B",0
7519,1,15,19,0.0047606,"\int \left(-e^{16+x}+4 e^{2 x^2} x\right) \, dx","Integrate[-E^(16 + x) + 4*E^(2*x^2)*x,x]","e^{2 x^2}-e^{x+16}","e^{2 x^2}+e^{16} \left(29-e^x\right)",1,"E^(2*x^2) - E^(16 + x)","A",1
7520,1,74,17,0.0337518,"\int \frac{-4 x+2 x \log \left(-e^{2+x}\right)+\left(4-2 \log \left(-e^{2+x}\right)\right) \log \left(\log ^2\left(-e^{2+x}\right)\right)}{\log \left(-e^{2+x}\right)} \, dx","Integrate[(-4*x + 2*x*Log[-E^(2 + x)] + (4 - 2*Log[-E^(2 + x)])*Log[Log[-E^(2 + x)]^2])/Log[-E^(2 + x)],x]","x^2-4 x+\log ^2\left(\log ^2\left(-e^{x+2}\right)\right)-2 \log \left(-e^{x+2}\right) \log \left(\log ^2\left(-e^{x+2}\right)\right)+4 \log \left(-e^{x+2}\right)+4 \left(\log \left(-e^{x+2}\right)-x\right) \log \left(\log \left(-e^{x+2}\right)\right)","\left(x-\log \left(\log ^2\left(-e^{x+2}\right)\right)\right)^2",1,"-4*x + x^2 + 4*Log[-E^(2 + x)] + 4*(-x + Log[-E^(2 + x)])*Log[Log[-E^(2 + x)]] - 2*Log[-E^(2 + x)]*Log[Log[-E^(2 + x)]^2] + Log[Log[-E^(2 + x)]^2]^2","B",1
7521,1,28,32,0.033315,"\int \frac{-2 x+\left(3-x-30 x^2+10 x^3+\left(-6 x^2+2 x^3\right) \log (2)\right) \log \left(9-6 x+x^2\right)}{\left(-3 x+x^2\right) \log \left(9-6 x+x^2\right)} \, dx","Integrate[(-2*x + (3 - x - 30*x^2 + 10*x^3 + (-6*x^2 + 2*x^3)*Log[2])*Log[9 - 6*x + x^2])/((-3*x + x^2)*Log[9 - 6*x + x^2]),x]","5 x^2+\frac{1}{2} x^2 \log (4)-\log (x)-\log \left(\log \left((x-3)^2\right)\right)","2 x^2-\left(x^2 (-3-\log (2))\right)-\log (x)-\log \left(\log \left((3-x)^2\right)\right)",1,"5*x^2 + (x^2*Log[4])/2 - Log[x] - Log[Log[(-3 + x)^2]]","A",1
7522,1,21,21,0.1278275,"\int \frac{1+\log \left(-\frac{x}{\log (16)}\right)+\log \left(-\frac{x}{\log (16)}\right) \log \left(x \log \left(-\frac{x}{\log (16)}\right)\right)}{x \log \left(-\frac{x}{\log (16)}\right) \log \left(x \log \left(-\frac{x}{\log (16)}\right)\right)} \, dx","Integrate[(1 + Log[-(x/Log[16])] + Log[-(x/Log[16])]*Log[x*Log[-(x/Log[16])]])/(x*Log[-(x/Log[16])]*Log[x*Log[-(x/Log[16])]]),x]","\log \left(-\frac{x}{\log (16)}\right)+\log \left(\log \left(x \log \left(-\frac{x}{\log (16)}\right)\right)\right)","\log \left(x \log \left(x-x \left(1-\log \left(-\frac{x}{\log (16)}\right)\right)\right)\right)",1,"Log[-(x/Log[16])] + Log[Log[x*Log[-(x/Log[16])]]]","A",1
7523,1,19,21,0.0160062,"\int -\frac{4 e^{-\frac{4}{2 x-e^3 x+\left(-4+2 e^3\right) \log (5)}}}{-2 x^2+e^3 x^2+\left(8 x-4 e^3 x\right) \log (5)+\left(-8+4 e^3\right) \log ^2(5)} \, dx","Integrate[-4/(E^(4/(2*x - E^3*x + (-4 + 2*E^3)*Log[5]))*(-2*x^2 + E^3*x^2 + (8*x - 4*E^3*x)*Log[5] + (-8 + 4*E^3)*Log[5]^2)),x]","e^{\frac{4}{\left(e^3-2\right) (x-2 \log (5))}}","e^{-\frac{2}{\left(e^3-2\right) \left(\log (5)-\frac{x}{2}\right)}}",1,"E^(4/((-2 + E^3)*(x - 2*Log[5])))","A",1
7524,1,13,12,0.0000728,"\int \left(-1-20 e^2+9 x^8\right) \, dx","Integrate[-1 - 20*E^2 + 9*x^8,x]","x^9-20 e^2 x-x","x \left(x^8-20 e^2-1\right)",1,"-x - 20*E^2*x + x^9","A",1
7525,1,29,29,0.236692,"\int \frac{-24 x^3+6 x^4+e^x \left(-4 x^3+x^4\right)+e^{4 x+2 x^2} \left(4 x^3+15 x^4+12 x^5-4 x^6\right)+(-4+x)^{2/x} \left(-24 x+6 x^2+e^{4 x+2 x^2} \left(4 x+15 x^2+12 x^3-4 x^4\right)\right)+(-4+x)^{\frac{1}{x}} \left(-48 x^2+12 x^3+e^x \left(-5 x-3 x^2+x^3\right)+e^{4 x+2 x^2} \left(8 x^2+30 x^3+24 x^4-8 x^5\right)+e^x (-4+x) \log (-4+x)\right)}{-4 x^3+x^4+(-4+x)^{2/x} \left(-4 x+x^2\right)+(-4+x)^{\frac{1}{x}} \left(-8 x^2+2 x^3\right)} \, dx","Integrate[(-24*x^3 + 6*x^4 + E^x*(-4*x^3 + x^4) + E^(4*x + 2*x^2)*(4*x^3 + 15*x^4 + 12*x^5 - 4*x^6) + (-4 + x)^(2/x)*(-24*x + 6*x^2 + E^(4*x + 2*x^2)*(4*x + 15*x^2 + 12*x^3 - 4*x^4)) + (-4 + x)^x^(-1)*(-48*x^2 + 12*x^3 + E^x*(-5*x - 3*x^2 + x^3) + E^(4*x + 2*x^2)*(8*x^2 + 30*x^3 + 24*x^4 - 8*x^5) + E^x*(-4 + x)*Log[-4 + x]))/(-4*x^3 + x^4 + (-4 + x)^(2/x)*(-4*x + x^2) + (-4 + x)^x^(-1)*(-8*x^2 + 2*x^3)),x]","x \left(-e^{2 x (x+2)}+\frac{e^x}{(x-4)^{\frac{1}{x}}+x}+6\right)","x \left(-e^{2 x (x+2)}+\frac{e^x}{(x-4)^{\frac{1}{x}}+x}+6\right)",1,"x*(6 - E^(2*x*(2 + x)) + E^x/((-4 + x)^x^(-1) + x))","A",1
7526,1,26,28,0.1556862,"\int \frac{e^{e^{e^x}} \left(30 x-15 x^2+e^x \left(-15-5 x+5 x^2\right)+e^{e^x} \left(e^{2 x} \left(15 x-5 x^2\right)+e^x \left(-15 x^2+5 x^3\right)\right)\right)}{9 x^4-6 x^5+x^6+e^{2 x} \left(9 x^2-6 x^3+x^4\right)+e^x \left(-18 x^3+12 x^4-2 x^5\right)} \, dx","Integrate[(E^E^E^x*(30*x - 15*x^2 + E^x*(-15 - 5*x + 5*x^2) + E^E^x*(E^(2*x)*(15*x - 5*x^2) + E^x*(-15*x^2 + 5*x^3))))/(9*x^4 - 6*x^5 + x^6 + E^(2*x)*(9*x^2 - 6*x^3 + x^4) + E^x*(-18*x^3 + 12*x^4 - 2*x^5)),x]","-\frac{5 e^{e^{e^x}}}{\left(e^x-x\right) (x-3) x}","\frac{5 e^{e^{e^x}}}{(3-x) \left(e^x-x\right) x}",1,"(-5*E^E^E^x)/((E^x - x)*(-3 + x)*x)","A",1
7527,1,26,27,0.2566854,"\int \frac{e^8 \left(5+8 x-2 x^2\right)+\left(5+8 x-2 x^2\right) \log (5)}{-15 x^3+3 x^4+\left(-30 x^2+6 x^3\right) \log \left(e^{5+x} \left(5 x-x^2\right)\right)+\left(-15 x+3 x^2\right) \log ^2\left(e^{5+x} \left(5 x-x^2\right)\right)} \, dx","Integrate[(E^8*(5 + 8*x - 2*x^2) + (5 + 8*x - 2*x^2)*Log[5])/(-15*x^3 + 3*x^4 + (-30*x^2 + 6*x^3)*Log[E^(5 + x)*(5*x - x^2)] + (-15*x + 3*x^2)*Log[E^(5 + x)*(5*x - x^2)]^2),x]","\frac{e^8+\log (5)}{3 \left(x+\log \left(-e^{x+5} (x-5) x\right)\right)}","\frac{e^8+\log (5)}{3 \left(x+\log \left(e^{x+5} (5-x) x\right)\right)}",1,"(E^8 + Log[5])/(3*(x + Log[-(E^(5 + x)*(-5 + x)*x)]))","A",1
7528,1,24,23,0.8367581,"\int \frac{125+2100 x+11835 x^2+22792 x^3+2367 x^4+84 x^5+x^6+e^{\frac{12544+896 x+16 x^2}{25+280 x+794 x^2+56 x^3+x^4}} \left(697984 x+75104 x^2+2688 x^3+32 x^4\right)}{125 x+2100 x^2+11835 x^3+22792 x^4+2367 x^5+84 x^6+x^7} \, dx","Integrate[(125 + 2100*x + 11835*x^2 + 22792*x^3 + 2367*x^4 + 84*x^5 + x^6 + E^((12544 + 896*x + 16*x^2)/(25 + 280*x + 794*x^2 + 56*x^3 + x^4))*(697984*x + 75104*x^2 + 2688*x^3 + 32*x^4))/(125*x + 2100*x^2 + 11835*x^3 + 22792*x^4 + 2367*x^5 + 84*x^6 + x^7),x]","\log (x)-e^{\frac{16 (x+28)^2}{\left(x^2+28 x+5\right)^2}}","\log \left(8 e^{-e^{\frac{16}{\left(x+\frac{5}{x+28}\right)^2}}} x\right)",1,"-E^((16*(28 + x)^2)/(5 + 28*x + x^2)^2) + Log[x]","A",1
7529,1,26,18,0.0223827,"\int e^{-x} \left(e^x \left(1+e^2 (-4-2 x)\right)+e^9 (-1+x)\right) \, dx","Integrate[(E^x*(1 + E^2*(-4 - 2*x)) + E^9*(-1 + x))/E^x,x]","-e^2 x^2-e^{9-x} x-4 e^2 x+x","x-e^2 x \left(x+e^{7-x}+4\right)",1,"x - 4*E^2*x - E^(9 - x)*x - E^2*x^2","A",1
7530,1,25,24,0.014296,"\int \frac{\left(-120 x^3+1075 x^4-2500 x^5-41 x^6+200 x^7-4 x^9\right) \log (3)}{25-250 x+625 x^2+10 x^3-50 x^4+x^6} \, dx","Integrate[((-120*x^3 + 1075*x^4 - 2500*x^5 - 41*x^6 + 200*x^7 - 4*x^9)*Log[3])/(25 - 250*x + 625*x^2 + 10*x^3 - 50*x^4 + x^6),x]","-\frac{x^4 \left(x^3-25 x+6\right) \log (3)}{x^3-25 x+5}","x^3 \left(\frac{1}{-x^2-\frac{5}{x}+25}-x\right) \log (3)",1,"-((x^4*(6 - 25*x + x^3)*Log[3])/(5 - 25*x + x^3))","A",1
7531,1,13,19,0.0043783,"\int -\frac{4 e^{3-\frac{-3+14 x}{x}}}{3 x^2} \, dx","Integrate[(-4*E^(3 - (-3 + 14*x)/x))/(3*x^2),x]","\frac{4}{9} e^{\frac{3}{x}-11}","\frac{1}{3} \left(\frac{4}{3} e^{\frac{3}{x}-11}+5\right)",1,"(4*E^(-11 + 3/x))/9","A",1
7532,1,9,9,0.1283299,"\int \frac{-1+e^x x^2}{\left(x+e^x x^2\right) \log \left(\frac{1+e^x x}{x}\right)} \, dx","Integrate[(-1 + E^x*x^2)/((x + E^x*x^2)*Log[(1 + E^x*x)/x]),x]","\log \left(\log \left(e^x+\frac{1}{x}\right)\right)","\log \left(\log \left(e^x+\frac{1}{x}\right)\right)",1,"Log[Log[E^x + x^(-1)]]","A",1
7533,1,54,19,0.00673,"\int \frac{e^2 \left(-72+288 x^2-2016 x^6+5040 x^8-6048 x^{10}+4032 x^{12}-1440 x^{14}+216 x^{16}\right)}{5 x^5} \, dx","Integrate[(E^2*(-72 + 288*x^2 - 2016*x^6 + 5040*x^8 - 6048*x^10 + 4032*x^12 - 1440*x^14 + 216*x^16))/(5*x^5),x]","\frac{72}{5} e^2 \left(\frac{x^{12}}{4}-2 x^{10}+7 x^8-14 x^6+\frac{35 x^4}{2}+\frac{1}{4 x^4}-14 x^2-\frac{2}{x^2}\right)","\frac{18}{5} e^2 x^4 \left(x-\frac{1}{x}\right)^8",1,"(72*E^2*(1/(4*x^4) - 2/x^2 - 14*x^2 + (35*x^4)/2 - 14*x^6 + 7*x^8 - 2*x^10 + x^12/4))/5","B",1
7534,1,15,14,0.0086537,"\int \frac{-2-\log ^2(3)}{2 x-x^2+x \log ^2(3)} \, dx","Integrate[(-2 - Log[3]^2)/(2*x - x^2 + x*Log[3]^2),x]","\log \left(-x+2+\log ^2(3)\right)-\log (x)","\log \left(1-\frac{2+\log ^2(3)}{x}\right)",1,"-Log[x] + Log[2 - x + Log[3]^2]","A",1
7535,1,34,30,0.938069,"\int \frac{-3264 x+864 x^2-76 x^3+\left(-32 x+16 x^2-2 x^3\right) \log \left(5 x^2\right)}{64-32 x+6468 x^2-2208 x^3+163364 x^4-29896 x^5+1369 x^6+\left(64 x^2-32 x^3+3236 x^4-1104 x^5+74 x^6\right) \log \left(5 x^2\right)+\left(16 x^4-8 x^5+x^6\right) \log ^2\left(5 x^2\right)} \, dx","Integrate[(-3264*x + 864*x^2 - 76*x^3 + (-32*x + 16*x^2 - 2*x^3)*Log[5*x^2])/(64 - 32*x + 6468*x^2 - 2208*x^3 + 163364*x^4 - 29896*x^5 + 1369*x^6 + (64*x^2 - 32*x^3 + 3236*x^4 - 1104*x^5 + 74*x^6)*Log[5*x^2] + (16*x^4 - 8*x^5 + x^6)*Log[5*x^2]^2),x]","\frac{x-4}{37 x^3-404 x^2+(x-4) x^2 \log \left(5 x^2\right)+2 x-8}","\frac{1}{x^2 \left(\log \left(5 x^2\right)+\frac{(x-20)^2}{4-x}+x+1\right)+2}",1,"(-4 + x)/(-8 + 2*x - 404*x^2 + 37*x^3 + (-4 + x)*x^2*Log[5*x^2])","A",1
7536,1,18,19,0.0817308,"\int \frac{-x^2+x \log (4)+\left(3 x^2-2 x \log (4)\right) \log (x)}{5 \log ^2(x)} \, dx","Integrate[(-x^2 + x*Log[4] + (3*x^2 - 2*x*Log[4])*Log[x])/(5*Log[x]^2),x]","\frac{x \left(x^2-x \log (4)\right)}{5 \log (x)}","\frac{x^2 (x-\log (4))}{5 \log (x)}+5",1,"(x*(x^2 - x*Log[4]))/(5*Log[x])","A",1
7537,1,73,28,0.1166924,"\int \frac{54 x^2+384 x^3+206 x^4-336 x^5+\left(36 x-102 x^2-136 x^3+104 x^4\right) \log (-1+x)+\left(-18-6 x+24 x^2\right) \log ^2(-1+x)}{-x^3+x^4} \, dx","Integrate[(54*x^2 + 384*x^3 + 206*x^4 - 336*x^5 + (36*x - 102*x^2 - 136*x^3 + 104*x^4)*Log[-1 + x] + (-18 - 6*x + 24*x^2)*Log[-1 + x]^2)/(-x^3 + x^4),x]","-2 \left(84 x^2+\frac{9 \log ^2(x-1)}{2 x^2}+117 x+8 \log ^2(x-1)+\frac{12 \log ^2(x-1)}{x}-52 x \log (x-1)+27 \log (1-x)-102 \log (x-1)-\frac{27 \log (x-1)}{x}\right)","x^2-\left(x+\left(\frac{x-3}{x}-5\right) (\log (x-1)-3 x)\right)^2",1,"-2*(117*x + 84*x^2 + 27*Log[1 - x] - 102*Log[-1 + x] - (27*Log[-1 + x])/x - 52*x*Log[-1 + x] + 8*Log[-1 + x]^2 + (9*Log[-1 + x]^2)/(2*x^2) + (12*Log[-1 + x]^2)/x)","B",1
7538,1,24,28,0.8492376,"\int \frac{2-5 e^x x+e^{e^{16 e^{-x}} x} \left(-5 e^x+e^{16 e^{-x}} \left(2-32 e^{-x} x\right)\right)}{e^{e^{16 e^{-x}} x}+x} \, dx","Integrate[(2 - 5*E^x*x + E^(E^(16/E^x)*x)*(-5*E^x + E^(16/E^x)*(2 - (32*x)/E^x)))/(E^(E^(16/E^x)*x) + x),x]","2 \log \left(x+e^{e^{16 e^{-x}} x}\right)-5 e^x","5 \left(25-e^x\right)+\log \left(\left(x+e^{e^{16 e^{-x}} x}\right)^2\right)",1,"-5*E^x + 2*Log[E^(E^(16/E^x)*x) + x]","A",1
7539,1,24,33,0.061618,"\int \frac{e^{-x} \left(e^x \left(-24+8 e^4\right)+10 x-5 x^2\right)}{8 \log (5)} \, dx","Integrate[(E^x*(-24 + 8*E^4) + 10*x - 5*x^2)/(8*E^x*Log[5]),x]","\frac{x \left(5 e^{-x} x+8 e^4-24\right)}{8 \log (5)}","\frac{5 \left(\frac{1}{8} e^{-x} x^2-x\right)+e^4 x+2 x-1}{\log (5)}",1,"(x*(-24 + 8*E^4 + (5*x)/E^x))/(8*Log[5])","A",1
7540,1,29,33,0.7702485,"\int \frac{x^2+2 x^3+x^4+e^8 \left(1+2 x+x^2\right)+e^{\frac{4}{e^4+x}} \left(e^8+2 e^4 x+x^2\right)+e^4 \left(2 x+4 x^2+2 x^3\right)+e^{\frac{2}{e^4+x}} \left(e^8 (-2-2 x)-2 x^2-2 x^3+e^4 \left(-4 x-4 x^2\right)\right)+e^{\frac{x^2}{-1+e^{\frac{2}{e^4+x}}-x}} \left(2 x^4+x^5+e^8 \left(2 x^2+x^3\right)+e^{\frac{2}{e^4+x}} \left(-2 e^8 x^2-2 x^3-4 e^4 x^3-2 x^4\right)+e^4 \left(4 x^3+2 x^4\right)\right)}{x^3+2 x^4+x^5+e^8 \left(x+2 x^2+x^3\right)+e^{\frac{4}{e^4+x}} \left(e^8 x+2 e^4 x^2+x^3\right)+e^4 \left(2 x^2+4 x^3+2 x^4\right)+e^{\frac{2}{e^4+x}} \left(-2 x^3-2 x^4+e^8 \left(-2 x-2 x^2\right)+e^4 \left(-4 x^2-4 x^3\right)\right)} \, dx","Integrate[(x^2 + 2*x^3 + x^4 + E^8*(1 + 2*x + x^2) + E^(4/(E^4 + x))*(E^8 + 2*E^4*x + x^2) + E^4*(2*x + 4*x^2 + 2*x^3) + E^(2/(E^4 + x))*(E^8*(-2 - 2*x) - 2*x^2 - 2*x^3 + E^4*(-4*x - 4*x^2)) + E^(x^2/(-1 + E^(2/(E^4 + x)) - x))*(2*x^4 + x^5 + E^8*(2*x^2 + x^3) + E^(2/(E^4 + x))*(-2*E^8*x^2 - 2*x^3 - 4*E^4*x^3 - 2*x^4) + E^4*(4*x^3 + 2*x^4)))/(x^3 + 2*x^4 + x^5 + E^8*(x + 2*x^2 + x^3) + E^(4/(E^4 + x))*(E^8*x + 2*E^4*x^2 + x^3) + E^4*(2*x^2 + 4*x^3 + 2*x^4) + E^(2/(E^4 + x))*(-2*x^3 - 2*x^4 + E^8*(-2*x - 2*x^2) + E^4*(-4*x^2 - 4*x^3))),x]","\log (x)-e^{\frac{x^2}{-x+e^{\frac{2}{x+e^4}}-1}}","\log \left(-\frac{9 x}{5}\right)-e^{\frac{x^2}{-x+e^{\frac{2}{x+e^4}}-1}}",1,"-E^(x^2/(-1 + E^(2/(E^4 + x)) - x)) + Log[x]","A",1
7541,1,31,22,0.3143455,"\int \frac{7500 x+9000 x^2+e^2 (-25000-30000 x) \log ^3(x)-7500 e^2 x \log ^4(x)+25000 e^4 \log ^7(x)}{-216 x^4+540 e^2 x^3 \log ^4(x)-450 e^4 x^2 \log ^8(x)+125 e^6 x \log ^{12}(x)} \, dx","Integrate[(7500*x + 9000*x^2 + E^2*(-25000 - 30000*x)*Log[x]^3 - 7500*E^2*x*Log[x]^4 + 25000*E^4*Log[x]^7)/(-216*x^4 + 540*E^2*x^3*Log[x]^4 - 450*E^4*x^2*Log[x]^8 + 125*E^6*x*Log[x]^12),x]","-\frac{125 \left(-12 x+10 e^2 \log ^4(x)-5\right)}{\left(6 x-5 e^2 \log ^4(x)\right)^2}","\left(\frac{5}{e^2 \log ^4(x)-\frac{6 x}{5}}-5\right)^2",1,"(-125*(-5 - 12*x + 10*E^2*Log[x]^4))/(6*x - 5*E^2*Log[x]^4)^2","A",1
7542,1,20,15,0.0014775,"\int \frac{1}{625} (1633602+1623602 x+1623602 \log (4)) \, dx","Integrate[(1633602 + 1623602*x + 1623602*Log[4])/625,x]","\frac{2}{625} \left(\frac{811801 x^2}{2}+816801 x+811801 x \log (4)\right)","16 \left(x+\frac{811801 (x+1+\log (4))^2}{10000}\right)",1,"(2*(816801*x + (811801*x^2)/2 + 811801*x*Log[4]))/625","A",1
7543,1,18,18,0.0923153,"\int \frac{5-2 x+\left(-35+18 x+6 x^2\right) \log (x)+(5-4 x) \log (x) \log (\log (x))}{5 \log (x)} \, dx","Integrate[(5 - 2*x + (-35 + 18*x + 6*x^2)*Log[x] + (5 - 4*x)*Log[x]*Log[Log[x]])/(5*Log[x]),x]","\frac{1}{5} x (2 x-5) (x-\log (\log (x))+7)","\frac{1}{5} x (2 x-5) (x-\log (\log (x))+7)",1,"(x*(-5 + 2*x)*(7 + x - Log[Log[x]]))/5","A",1
7544,1,23,23,0.791274,"\int \frac{\exp \left(\frac{-\frac{e^{-1-x}}{x}+(-3+x) \log \left(e^3 x\right)}{-3+x}\right) \left(9-6 x+x^2+\frac{e^{-1-x} \left(-3-x+x^2\right)}{x}\right)}{9 x-6 x^2+x^3} \, dx","Integrate[(E^((-(E^(-1 - x)/x) + (-3 + x)*Log[E^3*x])/(-3 + x))*(9 - 6*x + x^2 + (E^(-1 - x)*(-3 - x + x^2))/x))/(9*x - 6*x^2 + x^3),x]","e^{3-\frac{e^{-x-1}}{(x-3) x}} x","e^{3-\frac{e^{-x-1}}{(x-3) x}} x",1,"E^(3 - E^(-1 - x)/((-3 + x)*x))*x","A",1
7545,1,15,15,0.1994633,"\int -\frac{4 e^{8+e^{5-4 e^3 \log (16 x)}-4 e^3 \log (16 x)}}{x} \, dx","Integrate[(-4*E^(8 + E^(5 - 4*E^3*Log[16*x]) - 4*E^3*Log[16*x]))/x,x]","e^{e^{5-4 e^3 \log (16 x)}}","e^{e^{5-4 e^3 \log (16 x)}}",1,"E^E^(5 - 4*E^3*Log[16*x])","A",1
7546,1,32,26,0.1252789,"\int \frac{-24+16 x-56 x^2+12 x^3+e^x \left(-3-13 x+3 x^2\right)+\left(e^x+4 x\right) \log \left(e^x+4 x\right)}{e^x+4 x} \, dx","Integrate[(-24 + 16*x - 56*x^2 + 12*x^3 + E^x*(-3 - 13*x + 3*x^2) + (E^x + 4*x)*Log[E^x + 4*x])/(E^x + 4*x),x]","x^3-7 x^2+3 x+x \log \left(4 x+e^x\right)-6 \log \left(4 x+e^x\right)","x \left((x-6) \left(x+\frac{\log \left(4 x+e^x\right)-x}{x}\right)-3\right)",1,"3*x - 7*x^2 + x^3 - 6*Log[E^x + 4*x] + x*Log[E^x + 4*x]","A",1
7547,1,37,34,0.0782413,"\int \frac{-1800+2700 x-3148 x^2+2925 x^3-1350 x^4+225 x^5+e^{2 x^2} \left(-1800+2700 x-1350 x^2+225 x^3\right)+e^{x^2} \left(-2+7199 x-10796 x^2+5398 x^3-900 x^4\right)}{-1800 x^2+2700 x^3-1350 x^4+225 x^5+e^{2 x^2} \left(-1800+2700 x-1350 x^2+225 x^3\right)+e^{x^2} \left(3600 x-5400 x^2+2700 x^3-450 x^4\right)} \, dx","Integrate[(-1800 + 2700*x - 3148*x^2 + 2925*x^3 - 1350*x^4 + 225*x^5 + E^(2*x^2)*(-1800 + 2700*x - 1350*x^2 + 225*x^3) + E^x^2*(-2 + 7199*x - 10796*x^2 + 5398*x^3 - 900*x^4))/(-1800*x^2 + 2700*x^3 - 1350*x^4 + 225*x^5 + E^(2*x^2)*(-1800 + 2700*x - 1350*x^2 + 225*x^3) + E^x^2*(3600*x - 5400*x^2 + 2700*x^3 - 450*x^4)),x]","\frac{1}{225} \left(\frac{225 x^2-899 x+900}{\left(e^{x^2}-x\right) (x-2)^2}+225 (x-2)\right)","x-\frac{\frac{4 x^2}{225 (2 x-4)^2}+x}{x \left(x-e^{x^2}\right)}",1,"(225*(-2 + x) + (900 - 899*x + 225*x^2)/((E^x^2 - x)*(-2 + x)^2))/225","A",1
7548,1,18,27,0.0098856,"\int \frac{-49-140 x-29 x^2+19 x^3+2 x^4}{49 x+14 x^2+x^3} \, dx","Integrate[(-49 - 140*x - 29*x^2 + 19*x^3 + 2*x^4)/(49*x + 14*x^2 + x^3),x]","x^2-9 x-\frac{315}{x+7}-\log (x)","-\left(x \left(\frac{4-x^2}{x+7}+\frac{\log (x)}{x}+3\right)\right)+x-13",1,"-9*x + x^2 - 315/(7 + x) - Log[x]","A",1
7549,1,32,33,0.4065391,"\int \frac{-54+70 x+33 x^2+e^{2 x} \left(19 x-8 x^2-6 x^3\right)+e^x \left(26 x-2 x^2-6 x^3\right)+\left(-63 x-54 x^2\right) \log (2 x)}{108 x-252 x^2+39 x^3+126 x^4+27 x^5} \, dx","Integrate[(-54 + 70*x + 33*x^2 + E^(2*x)*(19*x - 8*x^2 - 6*x^3) + E^x*(26*x - 2*x^2 - 6*x^3) + (-63*x - 54*x^2)*Log[2*x])/(108*x - 252*x^2 + 39*x^3 + 126*x^4 + 27*x^5),x]","\frac{9 \log (2 x)-\left(e^x+1\right)^2}{3 (x+3) (3 x-2)}","\frac{\frac{1}{9} \left(e^x+1\right)^2-\log (2 x)}{\left(\frac{2}{3}-x\right) (x+3)}",1,"(-(1 + E^x)^2 + 9*Log[2*x])/(3*(3 + x)*(-2 + 3*x))","A",1
7550,-1,0,27,180.1192658,"\int \frac{5 x+5 e^{-8/x} x^3+e^{-4/x} \left(8+2 x+10 x^2\right)+e^{5 x} \left(-25 x+e^{-4/x} \left(20+5 x-25 x^2\right)\right)}{5 x+10 e^{-4/x} x^2+5 e^{-8/x} x^3} \, dx","Integrate[(5*x + (5*x^3)/E^(8/x) + (8 + 2*x + 10*x^2)/E^(4/x) + E^(5*x)*(-25*x + (20 + 5*x - 25*x^2)/E^(4/x)))/(5*x + (10*x^2)/E^(4/x) + (5*x^3)/E^(8/x)),x]","\text{\$Aborted}","\frac{-e^{5 x}-\frac{2}{5}}{e^{-4/x} x+1}+x",1,"$Aborted","F",-1
7551,1,39,34,0.0157084,"\int \frac{e^5+4 \log \left(\frac{-1+7 \log (2)}{\log (2)}\right)}{8 e^{10}-8 e^5 x+2 x^2+\left(32 e^5-16 x\right) \log \left(\frac{-1+7 \log (2)}{\log (2)}\right)+32 \log ^2\left(\frac{-1+7 \log (2)}{\log (2)}\right)} \, dx","Integrate[(E^5 + 4*Log[(-1 + 7*Log[2])/Log[2]])/(8*E^10 - 8*E^5*x + 2*x^2 + (32*E^5 - 16*x)*Log[(-1 + 7*Log[2])/Log[2]] + 32*Log[(-1 + 7*Log[2])/Log[2]]^2),x]","-\frac{e^5+4 \log \left(7-\frac{1}{\log (2)}\right)}{2 \left(x-2 e^5-4 \log \left(7-\frac{1}{\log (2)}\right)\right)}","\frac{1}{2 \left(2-\frac{x-e^5}{\frac{x}{4}+\log \left(7-\frac{1}{\log (2)}\right)}\right)}",1,"-1/2*(E^5 + 4*Log[7 - Log[2]^(-1)])/(-2*E^5 + x - 4*Log[7 - Log[2]^(-1)])","A",1
7552,1,26,29,0.2248121,"\int \frac{-1-x+e^{5 x} (1+x)+\left(2-2 e^{5 x}\right) \log (x)+\left(-x+e^{5 x} x+\left(1-e^{5 x}\right) \log (x)\right) \log (-x+\log (x))+\left(2 x+e^{5 x} \left(-2 x-10 x^2\right)+\left(-2+e^{5 x} (2+10 x)\right) \log (x)+\left(x+e^{5 x} \left(-x-5 x^2\right)+\left(-1+e^{5 x} (1+5 x)\right) \log (x)\right) \log (-x+\log (x))\right) \log \left(-\frac{x}{2+\log (-x+\log (x))}\right)}{(-2 x+2 \log (x)+(-x+\log (x)) \log (-x+\log (x))) \log ^2\left(-\frac{x}{2+\log (-x+\log (x))}\right)} \, dx","Integrate[(-1 - x + E^(5*x)*(1 + x) + (2 - 2*E^(5*x))*Log[x] + (-x + E^(5*x)*x + (1 - E^(5*x))*Log[x])*Log[-x + Log[x]] + (2*x + E^(5*x)*(-2*x - 10*x^2) + (-2 + E^(5*x)*(2 + 10*x))*Log[x] + (x + E^(5*x)*(-x - 5*x^2) + (-1 + E^(5*x)*(1 + 5*x))*Log[x])*Log[-x + Log[x]])*Log[-(x/(2 + Log[-x + Log[x]]))])/((-2*x + 2*Log[x] + (-x + Log[x])*Log[-x + Log[x]])*Log[-(x/(2 + Log[-x + Log[x]]))]^2),x]","\frac{\left(e^{5 x}-1\right) x}{\log \left(-\frac{x}{\log (\log (x)-x)+2}\right)}","\frac{\left(e^{5 x}-1\right) x}{\log \left(\frac{x}{-\log (\log (x)-x)-2}\right)}+1",1,"((-1 + E^(5*x))*x)/Log[-(x/(2 + Log[-x + Log[x]]))]","A",1
7553,1,22,22,0.2907523,"\int \frac{\left(-2 x^2+2 x \log (x)\right) \log ^2(x-\log (x))+\exp \left(\frac{2 (x+(1+x) \log (x-\log (x)))}{\log (x-\log (x))}\right) \left(-2+2 x+(-2 x+2 \log (x)) \log (x-\log (x))+(-2 x+2 \log (x)) \log ^2(x-\log (x))\right)+e^{\frac{x+(1+x) \log (x-\log (x))}{\log (x-\log (x))}} \left(2 x-2 x^2+\left(2 x^2-2 x \log (x)\right) \log (x-\log (x))+\left(2 x+2 x^2+(-2-2 x) \log (x)\right) \log ^2(x-\log (x))\right)}{(-x+\log (x)) \log ^2(x-\log (x))} \, dx","Integrate[((-2*x^2 + 2*x*Log[x])*Log[x - Log[x]]^2 + E^((2*(x + (1 + x)*Log[x - Log[x]]))/Log[x - Log[x]])*(-2 + 2*x + (-2*x + 2*Log[x])*Log[x - Log[x]] + (-2*x + 2*Log[x])*Log[x - Log[x]]^2) + E^((x + (1 + x)*Log[x - Log[x]])/Log[x - Log[x]])*(2*x - 2*x^2 + (2*x^2 - 2*x*Log[x])*Log[x - Log[x]] + (2*x + 2*x^2 + (-2 - 2*x)*Log[x])*Log[x - Log[x]]^2))/((-x + Log[x])*Log[x - Log[x]]^2),x]","\left(e^{x+\frac{x}{\log (x-\log (x))}+1}-x\right)^2","\left(e^{x+\frac{x}{\log (x-\log (x))}+1}-x\right)^2",1,"(E^(1 + x + x/Log[x - Log[x]]) - x)^2","A",1
7554,1,20,25,0.2744982,"\int \frac{\exp \left(\frac{16 \log \left(\frac{1}{x^2}\right)+\left(-x+x^2\right) \log (x)}{4 \log \left(\frac{1}{x^2}\right)}\right) \left((-1+x) \log \left(\frac{1}{x^2}\right)+\left(-2+2 x+(-1+2 x) \log \left(\frac{1}{x^2}\right)\right) \log (x)\right)}{4 \log ^2\left(\frac{1}{x^2}\right)} \, dx","Integrate[(E^((16*Log[x^(-2)] + (-x + x^2)*Log[x])/(4*Log[x^(-2)]))*((-1 + x)*Log[x^(-2)] + (-2 + 2*x + (-1 + 2*x)*Log[x^(-2)])*Log[x]))/(4*Log[x^(-2)]^2),x]","e^4 x^{\frac{(x-1) x}{4 \log \left(\frac{1}{x^2}\right)}}","e^{\frac{\left(x^2-x\right) \log (x)}{4 \log \left(\frac{1}{x^2}\right)}+4}+36",1,"E^4*x^(((-1 + x)*x)/(4*Log[x^(-2)]))","A",1
7555,1,43,17,0.0241916,"\int \frac{365-146 x-73 \log (9)}{-365 x+7573 x^2-3000 x^3+300 x^4+\left(73 x-3000 x^2+600 x^3\right) \log (9)+300 x^2 \log ^2(9)} \, dx","Integrate[(365 - 146*x - 73*Log[9])/(-365*x + 7573*x^2 - 3000*x^3 + 300*x^4 + (73*x - 3000*x^2 + 600*x^3)*Log[9] + 300*x^2*Log[9]^2),x]","-73 \left(-\frac{1}{73} \log \left(300 x^2-1500 x+300 x \log (9)+73\right)+\frac{\log (x)}{73}+\frac{1}{73} \log (-x+5-\log (9))\right)","\log \left(-\frac{73}{60 x (x-5+\log (9))}-5\right)",1,"-73*(Log[x]/73 + Log[5 - x - Log[9]]/73 - Log[73 - 1500*x + 300*x^2 + 300*x*Log[9]]/73)","B",1
7556,1,15,18,0.0539114,"\int \frac{e^x \left(-1+7 x+x^2-x^3\right)-e^x x \log (x)}{x} \, dx","Integrate[(E^x*(-1 + 7*x + x^2 - x^3) - E^x*x*Log[x])/x,x]","-e^x \left(x^2-3 x+\log (x)-4\right)","e^x \left(-x^2+3 x-\log (x)+4\right)",1,"-(E^x*(-4 - 3*x + x^2 + Log[x]))","A",1
7557,1,36,30,0.203254,"\int \frac{\exp \left(\frac{x+\left(1-x-x^2\right) \log \left(e^{2 x}+2 e^{3 x}+e^{4 x}+x\right)}{\log \left(e^{2 x}+2 e^{3 x}+e^{4 x}+x\right)}\right) \left(-x-2 e^{2 x} x-6 e^{3 x} x-4 e^{4 x} x+\left(e^{2 x}+2 e^{3 x}+e^{4 x}+x\right) \log \left(e^{2 x}+2 e^{3 x}+e^{4 x}+x\right)+\left(e^{3 x} (-2-4 x)+e^{2 x} (-1-2 x)+e^{4 x} (-1-2 x)-x-2 x^2\right) \log ^2\left(e^{2 x}+2 e^{3 x}+e^{4 x}+x\right)\right)}{\left(e^{2 x}+2 e^{3 x}+e^{4 x}+x\right) \log ^2\left(e^{2 x}+2 e^{3 x}+e^{4 x}+x\right)} \, dx","Integrate[(E^((x + (1 - x - x^2)*Log[E^(2*x) + 2*E^(3*x) + E^(4*x) + x])/Log[E^(2*x) + 2*E^(3*x) + E^(4*x) + x])*(-x - 2*E^(2*x)*x - 6*E^(3*x)*x - 4*E^(4*x)*x + (E^(2*x) + 2*E^(3*x) + E^(4*x) + x)*Log[E^(2*x) + 2*E^(3*x) + E^(4*x) + x] + (E^(3*x)*(-2 - 4*x) + E^(2*x)*(-1 - 2*x) + E^(4*x)*(-1 - 2*x) - x - 2*x^2)*Log[E^(2*x) + 2*E^(3*x) + E^(4*x) + x]^2))/((E^(2*x) + 2*E^(3*x) + E^(4*x) + x)*Log[E^(2*x) + 2*E^(3*x) + E^(4*x) + x]^2),x]","\exp \left(-x^2-x+\frac{x}{\log \left(x+e^{2 x}+2 e^{3 x}+e^{4 x}\right)}+1\right)","e^{-x^2-x+\frac{x}{\log \left(\left(e^x+e^{2 x}\right)^2+x\right)}+1}",1,"E^(1 - x - x^2 + x/Log[E^(2*x) + 2*E^(3*x) + E^(4*x) + x])","A",1
7558,1,14,18,0.0031267,"\int \frac{-2+4 x^2+8 x^2 \log (3 x)}{x} \, dx","Integrate[(-2 + 4*x^2 + 8*x^2*Log[3*x])/x,x]","4 x^2 \log (3 x)-2 \log (x)","\left(x \left(4 x-\frac{4}{x}\right)+2\right) \log (3 x)",1,"-2*Log[x] + 4*x^2*Log[3*x]","A",1
7559,1,26,30,0.3266611,"\int \frac{-1+2 x^2+2 x^3-2 e^{-4+e x} x^3+\left(1-x+e^{-4+e x} x\right) \log (x)}{-2 x^3+x \log (x)} \, dx","Integrate[(-1 + 2*x^2 + 2*x^3 - 2*E^(-4 + E*x)*x^3 + (1 - x + E^(-4 + E*x)*x)*Log[x])/(-2*x^3 + x*Log[x]),x]","-\log \left(2 x^2-\log (x)\right)-x+e^{e x-5}+\log (x)","\log \left(\frac{e^{e^{e x-5}-5} x}{2 x^2-\log (x)}\right)-x",1,"E^(-5 + E*x) - x + Log[x] - Log[2*x^2 - Log[x]]","A",1
7560,1,43,33,1.2683746,"\int \frac{e^{-x} \left(e^{10 e^{-x}} \left(-2 e^x-10 x\right)-e^{e^x+2 x} x^3+e^{5 e^{-x}} \left(4 e^x+10 x\right)+e^x \left(-6-x^3\right)\right)}{x^3} \, dx","Integrate[(E^(10/E^x)*(-2*E^x - 10*x) - E^(E^x + 2*x)*x^3 + E^(5/E^x)*(4*E^x + 10*x) + E^x*(-6 - x^3))/(E^x*x^3),x]","-\frac{2 e^{5 e^{-x}}}{x^2}+\frac{e^{10 e^{-x}}}{x^2}+\frac{3}{x^2}-x-e^{e^x}","\frac{\left(1-e^{5 e^{-x}}\right)^2+2}{x^2}-e^{e^x}-x+2",1,"-E^E^x + 3/x^2 - (2*E^(5/E^x))/x^2 + E^(10/E^x)/x^2 - x","A",1
7561,1,26,26,0.0088558,"\int \frac{7}{20} \sqrt[5]{-2 e^3 x^2+3 e^6 x^2} \, dx","Integrate[(7*(-2*E^3*x^2 + 3*E^6*x^2)^(1/5))/20,x]","\frac{1}{4} x \sqrt[5]{3 e^6 x^2-2 e^3 x^2}","\frac{1}{4} e^{3/5} x \sqrt[5]{x \left(3 \left(e^3-1\right) x+x\right)}",1,"(x*(-2*E^3*x^2 + 3*E^6*x^2)^(1/5))/4","A",1
7562,1,24,25,5.4675055,"\int \frac{13 x^2+\left(13 x^2+x^3\right) \log \left(\frac{39+3 x}{x}\right)+\left(13+x+13 x^2+x^3+(13+x) \log (5)\right) \log ^2\left(\frac{39+3 x}{x}\right)}{\left(13 x^2+x^3\right) \log ^2\left(\frac{39+3 x}{x}\right)} \, dx","Integrate[(13*x^2 + (13*x^2 + x^3)*Log[(39 + 3*x)/x] + (13 + x + 13*x^2 + x^3 + (13 + x)*Log[5])*Log[(39 + 3*x)/x]^2)/((13*x^2 + x^3)*Log[(39 + 3*x)/x]^2),x]","x+\frac{x}{\log \left(\frac{39}{x}+3\right)}+\frac{-1-\log (5)}{x}","x+\frac{x}{\log \left(\frac{3 (x+13)}{x}\right)}-\frac{1+\log (5)}{x}+3",1,"x + (-1 - Log[5])/x + x/Log[3 + 39/x]","A",1
7563,1,25,26,0.2146334,"\int \frac{\left(\left(-x^2-x^3\right) \log (4)-x^2 \log ^2(4)\right) \log (5)+\left(-x^2+(1-x) \log (4)\right) \log (5) \log (\log (4))}{e^x \left(x^4 \log ^2(4)+2 x^3 \log ^3(4)+x^2 \log ^4(4)\right)+e^x \left(2 x^3 \log (4)+4 x^2 \log ^2(4)+2 x \log ^3(4)\right) \log (\log (4))+e^x \left(x^2+2 x \log (4)+\log ^2(4)\right) \log ^2(\log (4))} \, dx","Integrate[(((-x^2 - x^3)*Log[4] - x^2*Log[4]^2)*Log[5] + (-x^2 + (1 - x)*Log[4])*Log[5]*Log[Log[4]])/(E^x*(x^4*Log[4]^2 + 2*x^3*Log[4]^3 + x^2*Log[4]^4) + E^x*(2*x^3*Log[4] + 4*x^2*Log[4]^2 + 2*x*Log[4]^3)*Log[Log[4]] + E^x*(x^2 + 2*x*Log[4] + Log[4]^2)*Log[Log[4]]^2),x]","\frac{e^{-x} x \log (5)}{(x+\log (4)) (x \log (4)+\log (\log (4)))}","\frac{e^{-x} \log (5)}{(x+\log (4)) \left(\frac{\log (\log (4))}{x}+\log (4)\right)}",1,"(x*Log[5])/(E^x*(x + Log[4])*(x*Log[4] + Log[Log[4]]))","A",1
7564,1,28,30,0.5218407,"\int \frac{1}{2} e^{-5+e^{16-4 e^x}+e^x+2 x-x^2} \left(2+e^x-4 e^{16-4 e^x+x}-2 x\right) \, dx","Integrate[(E^(-5 + E^(16 - 4*E^x) + E^x + 2*x - x^2)*(2 + E^x - 4*E^(16 - 4*E^x + x) - 2*x))/2,x]","\frac{1}{2} e^{-x^2+2 x+e^{16-4 e^x}+e^x-5}","\frac{1}{2} e^{-x^2+2 x+e^{4 \left(4-e^x\right)}+e^x-5}",1,"E^(-5 + E^(16 - 4*E^x) + E^x + 2*x - x^2)/2","A",1
7565,1,17,19,0.0455756,"\int e^{e^x+3 x-6 x^2} \left(-1-3 x-e^x x+12 x^2\right) \, dx","Integrate[E^(E^x + 3*x - 6*x^2)*(-1 - 3*x - E^x*x + 12*x^2),x]","-e^{-6 x^2+3 x+e^x} x","3-e^{-6 x^2+3 x+e^x} x",1,"-(E^(E^x + 3*x - 6*x^2)*x)","A",1
7566,1,20,21,0.1224899,"\int \frac{1}{2} \left(2+e^{\frac{1}{4} \left(49 x^2+14 x^3+x^4\right) \log ^2(4)} \left(49 x+21 x^2+2 x^3\right) \log ^2(4)\right) \, dx","Integrate[(2 + E^(((49*x^2 + 14*x^3 + x^4)*Log[4]^2)/4)*(49*x + 21*x^2 + 2*x^3)*Log[4]^2)/2,x]","e^{\frac{1}{4} x^2 (x+7)^2 \log ^2(4)}+x","e^{\frac{1}{4} x^2 (x+7)^2 \log ^2(4)}+x+4",1,"E^((x^2*(7 + x)^2*Log[4]^2)/4) + x","A",1
7567,1,28,25,0.045781,"\int \frac{e^{e^2+x^2} \left(2 x+4 x^3-4 x^2 \log (400)\right)+(-10 x+10 \log (400)) \log (x)-5 x \log ^2(x)}{5 x} \, dx","Integrate[(E^(E^2 + x^2)*(2*x + 4*x^3 - 4*x^2*Log[400]) + (-10*x + 10*Log[400])*Log[x] - 5*x*Log[x]^2)/(5*x),x]","\frac{1}{5} (x-\log (400)) \left(2 e^{x^2+e^2}-5 \log ^2(x)\right)","(\log (400)-x) \left(\log ^2(x)-\frac{2}{5} e^{x^2+e^2}\right)",1,"((x - Log[400])*(2*E^(E^2 + x^2) - 5*Log[x]^2))/5","A",1
7568,1,16,19,0.0963801,"\int \left(e^x \left(-2 x-x^2\right)+e^{e^{2 x}+x} \left(2 x+x^2+2 e^{2 x} x^2\right)\right) \, dx","Integrate[E^x*(-2*x - x^2) + E^(E^(2*x) + x)*(2*x + x^2 + 2*E^(2*x)*x^2),x]","e^x \left(e^{e^{2 x}}-1\right) x^2","\left(e^{x+e^{2 x}}-e^x\right) x^2",1,"E^x*(-1 + E^E^(2*x))*x^2","A",1
7569,1,26,18,0.3827455,"\int \frac{2358774 e^{2 x}+2358774 e^x x^2}{5 x^2+e^{2 x} (5+x)+e^x \left(10 x+x^2\right)} \, dx","Integrate[(2358774*E^(2*x) + 2358774*E^x*x^2)/(5*x^2 + E^(2*x)*(5 + x) + E^x*(10*x + x^2)),x]","2358774 \left(\log \left(e^x x+5 x+5 e^x\right)-\log \left(x+e^x\right)\right)","2358774 \log \left(\frac{x}{e^{-x} x+1}+5\right)",1,"2358774*(-Log[E^x + x] + Log[5*E^x + 5*x + E^x*x])","A",1
7570,1,21,22,0.1577037,"\int \frac{e^{-\frac{2 \left(-24 x+55 x^2\right)}{-20+55 x}} \left(160 x-1072 x^2+2090 x^3-1210 x^4\right)}{80-440 x+605 x^2} \, dx","Integrate[(160*x - 1072*x^2 + 2090*x^3 - 1210*x^4)/(E^((2*(-24*x + 55*x^2))/(-20 + 55*x))*(80 - 440*x + 605*x^2)),x]","e^{\frac{2 (24-55 x) x}{55 x-20}} x^2","e^{-\frac{2 x}{5-\frac{55 x}{4}}-2 x} x^2",1,"E^((2*(24 - 55*x)*x)/(-20 + 55*x))*x^2","A",1
7571,1,29,30,0.500424,"\int \frac{12 x^3+12 x^4+3 x^5+e^{-\frac{1}{2 x+x^2}} \left(8 x+8 x^2+e^2 \left(-8+8 x+16 x^2+4 x^3\right)\right)}{4 x^3+4 x^4+x^5} \, dx","Integrate[(12*x^3 + 12*x^4 + 3*x^5 + (8*x + 8*x^2 + E^2*(-8 + 8*x + 16*x^2 + 4*x^3))/E^(2*x + x^2)^(-1))/(4*x^3 + 4*x^4 + x^5),x]","\frac{4 e^{-\frac{1}{x^2+2 x}} \left(x-e^2\right)}{x}+3 x","\frac{\left(x-e^2\right) \left(3 x+4 e^{\frac{1}{(-x-2) x}}\right)}{x}",1,"3*x + (4*(-E^2 + x))/(E^(2*x + x^2)^(-1)*x)","A",1
7572,1,9,25,0.0000746,"\int -\frac{2 x}{\log (2)} \, dx","Integrate[(-2*x)/Log[2],x]","-\frac{x^2}{\log (2)}","\frac{-\frac{x^3+x}{x}-e^5+e^3+1}{\log (2)}",1,"-(x^2/Log[2])","A",1
7573,0,0,32,2.0995861,"\int \frac{16 x^2+\left(160 x+32 x^2\right) \log (2)+e^x \left(-8 x^2+\left(-40 x-36 x^2\right) \log (2)+(40 x+(100+180 x) \log (2)) \log (5)\right)+e^{2 x} \left(x^2+2 x^2 \log (2)+(-10 x-20 x \log (2)) \log (5)+(25+50 \log (2)) \log ^2(5)\right)}{16 x^3+\left(80 x^2+32 x^3\right) \log (2)+e^x \left(-8 x^3+\left(-20 x^2-16 x^3\right) \log (2)+\left(40 x^2+\left(100 x+80 x^2\right) \log (2)\right) \log (5)\right)+e^{2 x} \left(x^3+2 x^3 \log (2)+\left(-10 x^2-20 x^2 \log (2)\right) \log (5)+(25 x+50 x \log (2)) \log ^2(5)\right)} \, dx","Integrate[(16*x^2 + (160*x + 32*x^2)*Log[2] + E^x*(-8*x^2 + (-40*x - 36*x^2)*Log[2] + (40*x + (100 + 180*x)*Log[2])*Log[5]) + E^(2*x)*(x^2 + 2*x^2*Log[2] + (-10*x - 20*x*Log[2])*Log[5] + (25 + 50*Log[2])*Log[5]^2))/(16*x^3 + (80*x^2 + 32*x^3)*Log[2] + E^x*(-8*x^3 + (-20*x^2 - 16*x^3)*Log[2] + (40*x^2 + (100*x + 80*x^2)*Log[2])*Log[5]) + E^(2*x)*(x^3 + 2*x^3*Log[2] + (-10*x^2 - 20*x^2*Log[2])*Log[5] + (25*x + 50*x*Log[2])*Log[5]^2)),x]","\int \frac{16 x^2+\left(160 x+32 x^2\right) \log (2)+e^x \left(-8 x^2+\left(-40 x-36 x^2\right) \log (2)+(40 x+(100+180 x) \log (2)) \log (5)\right)+e^{2 x} \left(x^2+2 x^2 \log (2)+(-10 x-20 x \log (2)) \log (5)+(25+50 \log (2)) \log ^2(5)\right)}{16 x^3+\left(80 x^2+32 x^3\right) \log (2)+e^x \left(-8 x^3+\left(-20 x^2-16 x^3\right) \log (2)+\left(40 x^2+\left(100 x+80 x^2\right) \log (2)\right) \log (5)\right)+e^{2 x} \left(x^3+2 x^3 \log (2)+\left(-10 x^2-20 x^2 \log (2)\right) \log (5)+(25 x+50 x \log (2)) \log ^2(5)\right)} \, dx","\log \left(\frac{x}{\frac{5}{x+\frac{1}{4} e^x (5 \log (5)-x)}+2+\frac{1}{\log (2)}}\right)",1,"Integrate[(16*x^2 + (160*x + 32*x^2)*Log[2] + E^x*(-8*x^2 + (-40*x - 36*x^2)*Log[2] + (40*x + (100 + 180*x)*Log[2])*Log[5]) + E^(2*x)*(x^2 + 2*x^2*Log[2] + (-10*x - 20*x*Log[2])*Log[5] + (25 + 50*Log[2])*Log[5]^2))/(16*x^3 + (80*x^2 + 32*x^3)*Log[2] + E^x*(-8*x^3 + (-20*x^2 - 16*x^3)*Log[2] + (40*x^2 + (100*x + 80*x^2)*Log[2])*Log[5]) + E^(2*x)*(x^3 + 2*x^3*Log[2] + (-10*x^2 - 20*x^2*Log[2])*Log[5] + (25*x + 50*x*Log[2])*Log[5]^2)), x]","F",-1
7574,1,48,21,0.2667512,"\int \frac{-4 x^3-18 x^4-8 x^5-x^6+\left(4 x+66 x^2+40 x^3+6 x^4\right) \log (4+x)+\left(-48-32 x-5 x^2\right) \log ^2(4+x)}{4 x^7+x^8} \, dx","Integrate[(-4*x^3 - 18*x^4 - 8*x^5 - x^6 + (4*x + 66*x^2 + 40*x^3 + 6*x^4)*Log[4 + x] + (-48 - 32*x - 5*x^2)*Log[4 + x]^2)/(4*x^7 + x^8),x]","\frac{2 \log ^2(x+4)}{x^6}+\frac{\log ^2(x+4)}{x^5}-\frac{4 \log (x+4)}{x^4}-\frac{2 \log (x+4)}{x^3}+\frac{2}{x^2}+\frac{1}{x}","\frac{(x+2) \left(\frac{\log (x+4)}{x}-x\right)^2}{x^4}",1,"2/x^2 + x^(-1) - (4*Log[4 + x])/x^4 - (2*Log[4 + x])/x^3 + (2*Log[4 + x]^2)/x^6 + Log[4 + x]^2/x^5","B",1
7575,1,16,17,0.2440992,"\int e^{e^{x+x^2+4 x^3}+x+x^2+4 x^3} \left(3+6 x+36 x^2\right) \, dx","Integrate[E^(E^(x + x^2 + 4*x^3) + x + x^2 + 4*x^3)*(3 + 6*x + 36*x^2),x]","3 e^{e^{4 x^3+x^2+x}}","3 e^{e^{\left(4 x^2+x\right) x+x}}",1,"3*E^E^(x + x^2 + 4*x^3)","A",1
7576,1,26,25,0.0453009,"\int \frac{-4 x+8 x^2+20 x^3+\left(-3 x-5 x^2\right) \log (\log (2))+\left(-8 x-16 x^2+(2+4 x) \log (\log (2))\right) \log \left(\frac{1}{4} (4 x-\log (\log (2)))\right)}{4 x^3+4 x^4+\left(-x^2-x^3\right) \log (\log (2))+\left(-4 x^2-4 x^3+\left(x+x^2\right) \log (\log (2))\right) \log \left(\frac{1}{4} (4 x-\log (\log (2)))\right)} \, dx","Integrate[(-4*x + 8*x^2 + 20*x^3 + (-3*x - 5*x^2)*Log[Log[2]] + (-8*x - 16*x^2 + (2 + 4*x)*Log[Log[2]])*Log[(4*x - Log[Log[2]])/4])/(4*x^3 + 4*x^4 + (-x^2 - x^3)*Log[Log[2]] + (-4*x^2 - 4*x^3 + (x + x^2)*Log[Log[2]])*Log[(4*x - Log[Log[2]])/4]),x]","2 \log (x)+2 \log (x+1)+\log \left(x-\log \left(x-\frac{1}{4} \log (\log (2))\right)\right)","\log \left(4 x^2 (x+1)^2 \left(x-\log \left(x-\frac{1}{4} \log (\log (2))\right)\right)\right)",1,"2*Log[x] + 2*Log[1 + x] + Log[x - Log[x - Log[Log[2]]/4]]","A",1
7577,1,132,32,0.1089969,"\int \frac{612+840 x-519 x^2+12 x^3+\left(-420+336 x-6 x^2\right) \log (4)}{2000-1600 x-680 x^2+800 x^3-35 x^4-100 x^5+20 x^6+\left(1000 x-800 x^2-90 x^3+200 x^4-40 x^5\right) \log (4)+\left(125 x^2-100 x^3+20 x^4\right) \log ^2(4)} \, dx","Integrate[(612 + 840*x - 519*x^2 + 12*x^3 + (-420 + 336*x - 6*x^2)*Log[4])/(2000 - 1600*x - 680*x^2 + 800*x^3 - 35*x^4 - 100*x^5 + 20*x^6 + (1000*x - 800*x^2 - 90*x^3 + 200*x^4 - 40*x^5)*Log[4] + (125*x^2 - 100*x^3 + 20*x^4)*Log[4]^2),x]","\frac{3 \left(x \left(-2240 \log ^4(4)+2 \log ^3(4) (2007+535 \log (16))-\log ^2(4) (58225+1917 \log (16))+72 (107 \log (16)-18)+48 \log (4) (589 \log (16)-261)\right)+4 \left(9072+700 \log ^4(4)-5640 \log ^3(4)+\log ^2(4) (23057+2190 \log (16))+39280 \log (16)-5 \log (4) (19744+1129 \log (16))\right)\right)}{5 (2 x-5) (9-10 \log (4))^2 \left(16+\log ^2(4)\right) \left(x^2-x \log (4)-4\right)}","\frac{3 \left(\frac{3-x}{5}+5\right)}{(2 x-5) (x (x-\log (4))-4)}",1,"(3*(x*(-2240*Log[4]^4 + 72*(-18 + 107*Log[16]) + 2*Log[4]^3*(2007 + 535*Log[16]) + 48*Log[4]*(-261 + 589*Log[16]) - Log[4]^2*(58225 + 1917*Log[16])) + 4*(9072 - 5640*Log[4]^3 + 700*Log[4]^4 + 39280*Log[16] - 5*Log[4]*(19744 + 1129*Log[16]) + Log[4]^2*(23057 + 2190*Log[16]))))/(5*(-5 + 2*x)*(9 - 10*Log[4])^2*(-4 + x^2 - x*Log[4])*(16 + Log[4]^2))","B",1
7578,1,46,31,0.2550477,"\int \frac{-x-x^2+x^3-2 x^4+\left(x^2-2 x^3\right) \log (x)+\left(-x+2 x^3+\left(-1+2 x^2\right) \log (x)\right) \log \left(x^2+x \log (x)\right)+\left(1+2 x-x^2+3 x^3+\left(1-x+3 x^2\right) \log (x)+\left(-3 x^2-3 x \log (x)\right) \log \left(x^2+x \log (x)\right)\right) \log \left(x-\log \left(x^2+x \log (x)\right)\right)+\left(-x^2-x \log (x)+(x+\log (x)) \log \left(x^2+x \log (x)\right)\right) \log ^2\left(x-\log \left(x^2+x \log (x)\right)\right)}{x^3-x^5+\left(x^2-x^4\right) \log (x)+\left(-x^2+x^4+\left(-x+x^3\right) \log (x)\right) \log \left(x^2+x \log (x)\right)+\left(2 x^4+2 x^3 \log (x)+\left(-2 x^3-2 x^2 \log (x)\right) \log \left(x^2+x \log (x)\right)\right) \log \left(x-\log \left(x^2+x \log (x)\right)\right)+\left(-x^3-x^2 \log (x)+\left(x^2+x \log (x)\right) \log \left(x^2+x \log (x)\right)\right) \log ^2\left(x-\log \left(x^2+x \log (x)\right)\right)} \, dx","Integrate[(-x - x^2 + x^3 - 2*x^4 + (x^2 - 2*x^3)*Log[x] + (-x + 2*x^3 + (-1 + 2*x^2)*Log[x])*Log[x^2 + x*Log[x]] + (1 + 2*x - x^2 + 3*x^3 + (1 - x + 3*x^2)*Log[x] + (-3*x^2 - 3*x*Log[x])*Log[x^2 + x*Log[x]])*Log[x - Log[x^2 + x*Log[x]]] + (-x^2 - x*Log[x] + (x + Log[x])*Log[x^2 + x*Log[x]])*Log[x - Log[x^2 + x*Log[x]]]^2)/(x^3 - x^5 + (x^2 - x^4)*Log[x] + (-x^2 + x^4 + (-x + x^3)*Log[x])*Log[x^2 + x*Log[x]] + (2*x^4 + 2*x^3*Log[x] + (-2*x^3 - 2*x^2*Log[x])*Log[x^2 + x*Log[x]])*Log[x - Log[x^2 + x*Log[x]]] + (-x^3 - x^2*Log[x] + (x^2 + x*Log[x])*Log[x^2 + x*Log[x]])*Log[x - Log[x^2 + x*Log[x]]]^2),x]","\frac{1}{2} \log \left(-x^2-\log ^2(x-\log (x (x+\log (x))))+2 x \log (x-\log (x (x+\log (x))))+1\right)+\log (x)","\frac{1}{2} \log \left(x \left(x (x-\log (x-\log (x (x+\log (x)))))^2-x\right)\right)",1,"Log[x] + Log[1 - x^2 + 2*x*Log[x - Log[x*(x + Log[x])]] - Log[x - Log[x*(x + Log[x])]]^2]/2","A",1
7579,1,34,31,0.5466728,"\int \frac{e^{-x+\frac{e^{-x} x}{15}} \left(15 e^x+e^{3+3 x} \left(-x-45 e^x x+x^2\right)+\left(x-x^2\right) \log (x)\right)}{15 x \log (2)} \, dx","Integrate[(E^(-x + x/(15*E^x))*(15*E^x + E^(3 + 3*x)*(-x - 45*E^x*x + x^2) + (x - x^2)*Log[x]))/(15*x*Log[2]),x]","\frac{e^{\frac{e^{-x} x}{15}} \left(15 \log (x)-15 e^{3 x+3}\right)}{15 \log (2)}","\frac{e^{\frac{e^{-x} x}{15}} \left(\log (x)-e^{3 x+3}\right)}{\log (2)}+5",1,"(E^(x/(15*E^x))*(-15*E^(3 + 3*x) + 15*Log[x]))/(15*Log[2])","A",1
7580,1,25,12,0.0209675,"\int e^{-35+\frac{e^{35} (-5-x)+x}{e^{35}}} \left(1-e^{35}\right) \, dx","Integrate[E^(-35 + (E^35*(-5 - x) + x)/E^35)*(1 - E^35),x]","-\frac{\left(e^{35}-1\right) e^{\left(\frac{1}{e^{35}}-1\right) x-40}}{\frac{1}{e^{35}}-1}","e^{\frac{x}{e^{35}}-x-5}",1,"-((E^(-40 + (-1 + E^(-35))*x)*(-1 + E^35))/(-1 + E^(-35)))","B",1
7581,1,26,28,0.0730397,"\int \frac{2 e^{e^3} x-12 x^6-50398 x^7-77752800 x^8-52478280000 x^9-13116168000000 x^{10}+1312200000000 x^{11}+\left(-2 e^{e^3}+12 x^5+50398 x^6+77752800 x^7+52478280000 x^8+13116168000000 x^9-1312200000000 x^{10}\right) \log \left(2 e^{e^3}+2 x^6+7200 x^7+9720000 x^8+5832000000 x^9+1312200000000 x^{10}\right)}{e^{e^3}+x^6+3600 x^7+4860000 x^8+2916000000 x^9+656100000000 x^{10}} \, dx","Integrate[(2*E^E^3*x - 12*x^6 - 50398*x^7 - 77752800*x^8 - 52478280000*x^9 - 13116168000000*x^10 + 1312200000000*x^11 + (-2*E^E^3 + 12*x^5 + 50398*x^6 + 77752800*x^7 + 52478280000*x^8 + 13116168000000*x^9 - 1312200000000*x^10)*Log[2*E^E^3 + 2*x^6 + 7200*x^7 + 9720000*x^8 + 5832000000*x^9 + 1312200000000*x^10])/(E^E^3 + x^6 + 3600*x^7 + 4860000*x^8 + 2916000000*x^9 + 656100000000*x^10),x]","\left(x-\log \left(2 \left((900 x+1)^4 x^6+e^{e^3}\right)\right)\right)^2","\left(\log \left(2 \left(x^2 \left(900 x^2+x\right)^4+e^{e^3}\right)\right)-x\right)^2",1,"(x - Log[2*(E^E^3 + x^6*(1 + 900*x)^4)])^2","A",1
7582,1,13,12,0.0000888,"\int \frac{-72+4 e^5}{e^3} \, dx","Integrate[(-72 + 4*E^5)/E^3,x]","4 e^2 x-\frac{72 x}{e^3}","4 \left(e^2-\frac{18}{e^3}\right) x",1,"(-72*x)/E^3 + 4*E^2*x","A",1
7583,1,20,17,0.002092,"\int \frac{1}{5} \left(-6 x+1024 e^4 x^3\right) \, dx","Integrate[(-6*x + 1024*E^4*x^3)/5,x]","\frac{2}{5} \left(128 e^4 x^4-\frac{3 x^2}{2}\right)","\frac{1}{5} x^2 \left(256 e^4 x^2-3\right)",1,"(2*((-3*x^2)/2 + 128*E^4*x^4))/5","A",1
7584,1,36,28,4.9011035,"\int \frac{\exp \left(e^x-2 x+x^2+2 x^3+x^4+\left(-8 x-8 x^2\right) \log (x)+16 \log ^2(x)\right) \left(-20 x+2 e^x x-12 x^2+12 x^3+8 x^4+\left(64-16 x-32 x^2\right) \log (x)\right)}{x} \, dx","Integrate[(E^(E^x - 2*x + x^2 + 2*x^3 + x^4 + (-8*x - 8*x^2)*Log[x] + 16*Log[x]^2)*(-20*x + 2*E^x*x - 12*x^2 + 12*x^3 + 8*x^4 + (64 - 16*x - 32*x^2)*Log[x]))/x,x]","2 x^{-8 x (x+1)} e^{x^4+2 x^3+x^2-2 x+e^x+16 \log ^2(x)}","2 e^{\left(-x^2-x+4 \log (x)\right)^2+e^x-2 x}+3",1,"(2*E^(E^x - 2*x + x^2 + 2*x^3 + x^4 + 16*Log[x]^2))/x^(8*x*(1 + x))","A",1
7585,1,26,30,0.0772278,"\int \frac{81+216 x+90 x^2-108 x^3-39 x^4+12 x^5+4 x^6+e^2 \left(9+18 x-3 x^2-12 x^3+4 x^4\right)+e \left(-54-126 x-18 x^2+78 x^3-8 x^5\right)+\left(12 x-6 x^2-6 x^3+e \left(-3 x+4 x^2\right)\right) \log (x)}{\left(81 x+216 x^2+90 x^3-108 x^4-39 x^5+12 x^6+4 x^7+e^2 \left(9 x+18 x^2-3 x^3-12 x^4+4 x^5\right)+e \left(-54 x-126 x^2-18 x^3+78 x^4-8 x^6\right)\right) \log (x)} \, dx","Integrate[(81 + 216*x + 90*x^2 - 108*x^3 - 39*x^4 + 12*x^5 + 4*x^6 + E^2*(9 + 18*x - 3*x^2 - 12*x^3 + 4*x^4) + E*(-54 - 126*x - 18*x^2 + 78*x^3 - 8*x^5) + (12*x - 6*x^2 - 6*x^3 + E*(-3*x + 4*x^2))*Log[x])/((81*x + 216*x^2 + 90*x^3 - 108*x^4 - 39*x^5 + 12*x^6 + 4*x^7 + E^2*(9*x + 18*x^2 - 3*x^3 - 12*x^4 + 4*x^5) + E*(-54*x - 126*x^2 - 18*x^3 + 78*x^4 - 8*x^6))*Log[x]),x]","\log (\log (x))-\frac{1}{(-x+e-3) \left(2 x^2-3 x-3\right)}","-\frac{1}{(-x+e-3) x \left(2 x-\frac{3}{x}-3\right)}+\log (\log (x))+1",1,"-(1/((-3 + E - x)*(-3 - 3*x + 2*x^2))) + Log[Log[x]]","A",1
7586,1,21,23,0.044099,"\int \frac{6+e^x \left(8+8 x^2\right)+\left(-8+e^x (-8+8 x)\right) \log (x)}{x^2} \, dx","Integrate[(6 + E^x*(8 + 8*x^2) + (-8 + E^x*(-8 + 8*x))*Log[x])/x^2,x]","\frac{8 e^x x+8 \left(e^x+1\right) \log (x)+2}{x}","2 \left(\frac{x+4 \left(e^x x+x\right) (x+\log (x))}{x^2}+3\right)",1,"(2 + 8*E^x*x + 8*(1 + E^x)*Log[x])/x","A",1
7587,1,19,11,0.0022269,"\int -\frac{12}{-12 x+x^2} \, dx","Integrate[-12/(-12*x + x^2),x]","-12 \left(\frac{1}{12} \log (12-x)-\frac{\log (x)}{12}\right)","\log \left(\frac{4 x}{12-x}\right)",1,"-12*(Log[12 - x]/12 - Log[x]/12)","A",1
7588,1,53,33,0.1491828,"\int \frac{\exp \left(\frac{2 \left(-8 e^{\frac{9-6 e^5 x+e^{10} x^2}{x^2}}+13 x\right)}{x}+\frac{9-6 e^5 x+e^{10} x^2}{x^2}\right) \left(288-96 e^5 x+16 x^2\right)+\exp \left(\frac{-8 e^{\frac{9-6 e^5 x+e^{10} x^2}{x^2}}+13 x}{x}+\frac{9-6 e^5 x+e^{10} x^2}{x^2}\right) \left(4608-1536 e^5 x+256 x^2\right)}{x^4} \, dx","Integrate[(E^((2*(-8*E^((9 - 6*E^5*x + E^10*x^2)/x^2) + 13*x))/x + (9 - 6*E^5*x + E^10*x^2)/x^2)*(288 - 96*E^5*x + 16*x^2) + E^((-8*E^((9 - 6*E^5*x + E^10*x^2)/x^2) + 13*x)/x + (9 - 6*E^5*x + E^10*x^2)/x^2)*(4608 - 1536*E^5*x + 256*x^2))/x^4,x]","e^{13-\frac{16 e^{\frac{\left(e^5 x-3\right)^2}{x^2}}}{x}} \left(32 e^{\frac{8 e^{\frac{\left(e^5 x-3\right)^2}{x^2}}}{x}}+e^{13}\right)","\left(e^{\frac{8 \left(x-e^{\frac{\left(3-e^5 x\right)^2}{x^2}}\right)}{x}+5}+16\right)^2",1,"E^(13 - (16*E^((-3 + E^5*x)^2/x^2))/x)*(E^13 + 32*E^((8*E^((-3 + E^5*x)^2/x^2))/x))","A",1
7589,1,20,24,0.0104788,"\int \frac{1+x+3 x^2-e^2 x^2}{-x-3 x^2+e^2 x^2} \, dx","Integrate[(1 + x + 3*x^2 - E^2*x^2)/(-x - 3*x^2 + E^2*x^2),x]","-x-\log (x)+\log \left(-e^2 x+3 x+1\right)","-x-\log (2 x)+\log \left(\frac{1}{2} \left(\left(e^2-3\right) x-1\right)\right)",1,"-x - Log[x] + Log[1 + 3*x - E^2*x]","A",1
7590,1,31,31,0.1205245,"\int \frac{e^{-\frac{x^2}{3}} \left(\left(12 e^x-24 x\right) \log (x)+\left(-12 e^x+24 x+\left(48 x+16 x^3+e^x \left(-12-12 x-8 x^2\right)\right) \log (x)\right) \log (2 x)\right)}{\left(3 e^{2 x} x^2-12 e^x x^3+12 x^4\right) \log ^2(x)} \, dx","Integrate[((12*E^x - 24*x)*Log[x] + (-12*E^x + 24*x + (48*x + 16*x^3 + E^x*(-12 - 12*x - 8*x^2))*Log[x])*Log[2*x])/(E^(x^2/3)*(3*E^(2*x)*x^2 - 12*E^x*x^3 + 12*x^4)*Log[x]^2),x]","\frac{4 e^{-\frac{x^2}{3}} \log (2 x)}{\left(e^x-2 x\right) x \log (x)}","\frac{4 e^{-\frac{x^2}{3}} \log (2 x)}{\left(e^x-2 x\right) x \log (x)}",1,"(4*Log[2*x])/(E^(x^2/3)*(E^x - 2*x)*x*Log[x])","A",1
7591,1,48,30,0.2442935,"\int \frac{-8-12 x-6 x^2-x^3-128 x^5-112 x^6-36 x^7-4 x^8+e^x \left(8 x^2+12 x^3+6 x^4+x^5\right)}{8 x^2+12 x^3+6 x^4+x^5} \, dx","Integrate[(-8 - 12*x - 6*x^2 - x^3 - 128*x^5 - 112*x^6 - 36*x^7 - 4*x^8 + E^x*(8*x^2 + 12*x^3 + 6*x^4 + x^5))/(8*x^2 + 12*x^3 + 6*x^4 + x^5),x]","-x^4-4 x^3-\frac{x^2}{4 (x+2)^2}+4 x^2+e^x+\frac{63}{x+2}-\frac{63}{(x+2)^2}+\frac{1}{x}","-x^2 \left(\frac{2 x^2}{x^2+2 x}+x\right)^2+e^x+\frac{1}{x}",1,"E^x + x^(-1) + 4*x^2 - 4*x^3 - x^4 - 63/(2 + x)^2 - x^2/(4*(2 + x)^2) + 63/(2 + x)","A",1
7592,1,42,28,0.1102574,"\int \frac{e^4 \left(4-4 x+9 x^2-9 x^3\right)+\left(36 x^3-36 x^2 \log (x)\right) \log \left(48+108 x^2\right)+\left(4-4 x+9 x^2-9 x^3\right) \log ^2\left(48+108 x^2\right)}{e^8 \left(4 x+9 x^3\right)+e^4 \left(-4 x^2-9 x^4\right)+e^4 \left(4 x+9 x^3\right) \log (x)+\left(-4 x^2-9 x^4+e^4 \left(8 x+18 x^3\right)+\left(4 x+9 x^3\right) \log (x)\right) \log ^2\left(48+108 x^2\right)+\left(4 x+9 x^3\right) \log ^4\left(48+108 x^2\right)} \, dx","Integrate[(E^4*(4 - 4*x + 9*x^2 - 9*x^3) + (36*x^3 - 36*x^2*Log[x])*Log[48 + 108*x^2] + (4 - 4*x + 9*x^2 - 9*x^3)*Log[48 + 108*x^2]^2)/(E^8*(4*x + 9*x^3) + E^4*(-4*x^2 - 9*x^4) + E^4*(4*x + 9*x^3)*Log[x] + (-4*x^2 - 9*x^4 + E^4*(8*x + 18*x^3) + (4*x + 9*x^3)*Log[x])*Log[48 + 108*x^2]^2 + (4*x + 9*x^3)*Log[48 + 108*x^2]^4),x]","\log \left(\log ^2\left(12 \left(9 x^2+4\right)\right)-x+\log (x)+e^4\right)-\log \left(\log ^2\left(12 \left(9 x^2+4\right)\right)+e^4\right)","\log \left(\frac{x-\log (x)}{\log ^2\left(12 \left(9 x^2+4\right)\right)+e^4}-1\right)",1,"-Log[E^4 + Log[12*(4 + 9*x^2)]^2] + Log[E^4 - x + Log[x] + Log[12*(4 + 9*x^2)]^2]","A",1
7593,1,42,24,0.0794408,"\int \frac{2 x^2-8 x^3+e^2 \left(2 x-8 x^2\right)+\left(e^2 x+x^2\right) \log (x)+\left(e^2 \left(-8+x-4 x^2\right)+e^2 x \log (x)\right) \log \left(-8+x-4 x^2+x \log (x)\right)}{-8 x^2+x^3-4 x^4+e^4 \left(-8+x-4 x^2\right)+e^2 \left(-16 x+2 x^2-8 x^3\right)+\left(e^4 x+2 e^2 x^2+x^3\right) \log (x)} \, dx","Integrate[(2*x^2 - 8*x^3 + E^2*(2*x - 8*x^2) + (E^2*x + x^2)*Log[x] + (E^2*(-8 + x - 4*x^2) + E^2*x*Log[x])*Log[-8 + x - 4*x^2 + x*Log[x]])/(-8*x^2 + x^3 - 4*x^4 + E^4*(-8 + x - 4*x^2) + E^2*(-16*x + 2*x^2 - 8*x^3) + (E^4*x + 2*E^2*x^2 + x^3)*Log[x]),x]","\log \left(4 x^2-x-x \log (x)+8\right)-\frac{e^2 \log \left(-4 x^2+x+x \log (x)-8\right)}{x+e^2}","\frac{x \log (x-(x (4 x-\log (x)))-8)}{x+e^2}",1,"Log[8 - x + 4*x^2 - x*Log[x]] - (E^2*Log[-8 + x - 4*x^2 + x*Log[x]])/(E^2 + x)","A",1
7594,1,28,26,0.0280593,"\int \frac{2 x-8 x^3+6 x^5+\left(8 x-16 x^3-20 x^4+28 x^6\right) \log (5)+\left(8 x-40 x^4+32 x^7\right) \log ^2(5)}{5 \log ^2(5)} \, dx","Integrate[(2*x - 8*x^3 + 6*x^5 + (8*x - 16*x^3 - 20*x^4 + 28*x^6)*Log[5] + (8*x - 40*x^4 + 32*x^7)*Log[5]^2)/(5*Log[5]^2),x]","\frac{x^2 \left(x^3 \log (25)+x^2-1-\log (25)\right)^2}{5 \log ^2(5)}","\frac{1}{5} x^2 \left(2 x^3+\frac{x^2-1}{\log (5)}-2\right)^2",1,"(x^2*(-1 + x^2 - Log[25] + x^3*Log[25])^2)/(5*Log[5]^2)","A",0
7595,1,13,13,0.0055484,"\int \frac{1}{2} e^{70+\frac{20-x}{2}} \left(4 x-x^2\right) \, dx","Integrate[(E^(70 + (20 - x)/2)*(4*x - x^2))/2,x]","e^{80-\frac{x}{2}} x^2","e^{80-\frac{x}{2}} x^2",1,"E^(80 - x/2)*x^2","A",1
7596,1,10,20,0.0011282,"\int \frac{14}{-3+4 x} \, dx","Integrate[14/(-3 + 4*x),x]","\frac{7}{2} \log (4 x-3)","7 \left(\frac{1}{2} (\log (4 x-3)-1)+5-\log (5)\right)",1,"(7*Log[-3 + 4*x])/2","A",1
7597,1,25,28,0.0131313,"\int \frac{20 \exp \left(\frac{2 \left(3 e^2-3 x+\log (i \pi +\log (2))\right)}{e^2-x}\right) \log (i \pi +\log (2))}{e^4-2 e^2 x+x^2} \, dx","Integrate[(20*E^((2*(3*E^2 - 3*x + Log[I*Pi + Log[2]]))/(E^2 - x))*Log[I*Pi + Log[2]])/(E^4 - 2*E^2*x + x^2),x]","10 e^6 (\log (2)+i \pi )^{\frac{2}{e^2-x}}","10 \left(5+e^{6-\frac{2 \log (\log (2)+i \pi )}{x-e^2}}\right)",1,"10*E^6*(I*Pi + Log[2])^(2/(E^2 - x))","A",1
7598,1,8,8,0.0009268,"\int \frac{-16-4 \log (2)}{x^5} \, dx","Integrate[(-16 - 4*Log[2])/x^5,x]","\frac{4+\log (2)}{x^4}","\frac{4+\log (2)}{x^4}",1,"(4 + Log[2])/x^4","A",1
7599,1,79,24,0.065429,"\int \frac{-12-403 x-2438 x^2-535 x^3+2360 x^4-672 x^5-128 x^6+48 x^7+e^2 \left(4 x^4+x^5\right)+e \left(-8 x^2-2 x^3-158 x^4+24 x^5+16 x^6\right)+\left(-16 x-204 x^2-48 x^3+32 x^4+8 x^5\right) \log (4+x)+\left(-4 x^2-x^3\right) \log ^2(4+x)}{4 x^4+x^5} \, dx","Integrate[(-12 - 403*x - 2438*x^2 - 535*x^3 + 2360*x^4 - 672*x^5 - 128*x^6 + 48*x^7 + E^2*(4*x^4 + x^5) + E*(-8*x^2 - 2*x^3 - 158*x^4 + 24*x^5 + 16*x^6) + (-16*x - 204*x^2 - 48*x^3 + 32*x^4 + 8*x^5)*Log[4 + x] + (-4*x^2 - x^3)*Log[4 + x]^2)/(4*x^4 + x^5),x]","16 x^3+\frac{1}{x^3}+8 (e-20) x^2+\frac{50}{x^2}+\frac{2 \left(4 x^3+25 x+1\right) \log (x+4)}{x^2}+\left(600-40 e+e^2\right) x+\frac{585+2 e}{x}+\frac{\log ^2(x+4)}{x}+2 (e-20) \log (x+4)","\frac{\left((5-2 x)^2+e x+\frac{1}{x}+\log (x+4)\right)^2}{x}",1,"x^(-3) + 50/x^2 + (585 + 2*E)/x + (600 - 40*E + E^2)*x + 8*(-20 + E)*x^2 + 16*x^3 + 2*(-20 + E)*Log[4 + x] + (2*(1 + 25*x + 4*x^3)*Log[4 + x])/x^2 + Log[4 + x]^2/x","B",1
7600,1,14,14,0.0029507,"\int \frac{1}{12} e^{-2+x} \left(30+5 e^4\right) \, dx","Integrate[(E^(-2 + x)*(30 + 5*E^4))/12,x]","\frac{5}{12} \left(6+e^4\right) e^{x-2}","\frac{5}{12} \left(6+e^4\right) e^{x-2}",1,"(5*E^(-2 + x)*(6 + E^4))/12","A",1
7601,1,20,22,0.0567824,"\int \frac{2+x+(-4-3 x) \log (x \log (2))}{e^{20} \left(24 x^3+24 x^4+6 x^5\right)} \, dx","Integrate[(2 + x + (-4 - 3*x)*Log[x*Log[2]])/(E^20*(24*x^3 + 24*x^4 + 6*x^5)),x]","\frac{\log (x \log (2))}{6 e^{20} x^2 (x+2)}","\frac{\log (x \log (2))}{6 e^{20} x^2 (x+2)}+3",1,"Log[x*Log[2]]/(6*E^20*x^2*(2 + x))","A",1
7602,1,19,23,0.0242805,"\int \frac{1}{15} \left(-243 x^2+5 x^4+e^x \left(162 x+81 x^2-4 x^3-x^4\right)\right) \, dx","Integrate[(-243*x^2 + 5*x^4 + E^x*(162*x + 81*x^2 - 4*x^3 - x^4))/15,x]","-\frac{1}{15} \left(e^x-x\right) x^2 \left(x^2-81\right)","\frac{27}{5} \left(e^x-x\right) x \left(x-\frac{x^3}{81}\right)+5",1,"-1/15*((E^x - x)*x^2*(-81 + x^2))","A",1
7603,1,21,28,5.064696,"\int \frac{184884258895036416 x^{16} \left(-128 x^2+\left(192+64 x^2\right) \log \left(12+4 x^2\right)\right)}{\left(-x+4 \log \left(12+4 x^2\right)\right)^{16} \left(-3 x^2-x^4+\left(12 x+4 x^3\right) \log \left(12+4 x^2\right)\right)} \, dx","Integrate[(184884258895036416*x^16*(-128*x^2 + (192 + 64*x^2)*Log[12 + 4*x^2]))/((-x + 4*Log[12 + 4*x^2])^16*(-3*x^2 - x^4 + (12*x + 4*x^3)*Log[12 + 4*x^2])),x]","\frac{184884258895036416 x^{16}}{\left(4 \log \left(4 \left(x^2+3\right)\right)-x\right)^{16}}","\frac{43046721 x^{16}}{\left(\log \left(4 x \left(x+\frac{3}{x}\right)\right)-\frac{x}{4}\right)^{16}}+e^4",1,"(184884258895036416*x^16)/(-x + 4*Log[4*(3 + x^2)])^16","A",1
7604,1,18,18,0.0539984,"\int \frac{e^{71 x} \left(-10 x-354 x^2+71 x^3\right) \log (256)}{25-10 x+x^2} \, dx","Integrate[(E^(71*x)*(-10*x - 354*x^2 + 71*x^3)*Log[256])/(25 - 10*x + x^2),x]","e^{71 x} \left(x+\frac{25}{x-5}+5\right) \log (256)","\frac{e^{71 x} x^2 \log (256)}{x-5}+2",1,"E^(71*x)*(5 + 25/(-5 + x) + x)*Log[256]","A",1
7605,1,19,19,0.0183265,"\int \frac{-40-8 x-8 x^2+\left(-40+2 x+14 x^2+6 x^3+4 x^4\right) \log (x)+\left(8+\left(8-2 x-4 x^2\right) \log (x)\right) \log \left(x^4 \log ^4(x)\right)}{x \log (x)} \, dx","Integrate[(-40 - 8*x - 8*x^2 + (-40 + 2*x + 14*x^2 + 6*x^3 + 4*x^4)*Log[x] + (8 + (8 - 2*x - 4*x^2)*Log[x])*Log[x^4*Log[x]^4])/(x*Log[x]),x]","\left(-\log \left(x^4 \log ^4(x)\right)+x^2+x+5\right)^2","\left(-\log \left(x^4 \log ^4(x)\right)+x^2+x+5\right)^2",1,"(5 + x + x^2 - Log[x^4*Log[x]^4])^2","A",1
7606,1,16,21,0.1503344,"\int \frac{1+2 x+4 x \log (e x)}{-2 x-2 x^2+4 x^2 \log (e x)+x \log (x \log (2))} \, dx","Integrate[(1 + 2*x + 4*x*Log[E*x])/(-2*x - 2*x^2 + 4*x^2*Log[E*x] + x*Log[x*Log[2]]),x]","\log (2 x+4 x \log (x)+\log (x \log (2))-2)","\log (-2 (x+1)+4 x \log (e x)+\log (x \log (2)))-1",1,"Log[-2 + 2*x + 4*x*Log[x] + Log[x*Log[2]]]","A",1
7607,1,100,31,0.193267,"\int \frac{-600 x^7-900 x^8-300 x^9+150 x^{10}+e^{\log ^2(x)} \left(-750 x^4-2700 x^5-3600 x^6-1050 x^7+1350 x^8+750 x^9-300 x^{10}+\left(-300 x^4-1200 x^5-1800 x^6-600 x^7+900 x^8+600 x^9-300 x^{10}\right) \log (x)\right)+e^{2 \log ^2(x)} \left(-150 x-900 x^2-2250 x^3-2550 x^4-450 x^5+1800 x^6+1200 x^7-450 x^8-450 x^9+150 x^{10}+\left(-300 x-1800 x^2-4500 x^3-5100 x^4-900 x^5+3600 x^6+2400 x^7-900 x^8-900 x^9+300 x^{10}\right) \log (x)\right)}{-1-6 x-15 x^2-17 x^3-3 x^4+12 x^5+8 x^6-3 x^7-3 x^8+x^9} \, dx","Integrate[(-600*x^7 - 900*x^8 - 300*x^9 + 150*x^10 + E^Log[x]^2*(-750*x^4 - 2700*x^5 - 3600*x^6 - 1050*x^7 + 1350*x^8 + 750*x^9 - 300*x^10 + (-300*x^4 - 1200*x^5 - 1800*x^6 - 600*x^7 + 900*x^8 + 600*x^9 - 300*x^10)*Log[x]) + E^(2*Log[x]^2)*(-150*x - 900*x^2 - 2250*x^3 - 2550*x^4 - 450*x^5 + 1800*x^6 + 1200*x^7 - 450*x^8 - 450*x^9 + 150*x^10 + (-300*x - 1800*x^2 - 4500*x^3 - 5100*x^4 - 900*x^5 + 3600*x^6 + 2400*x^7 - 900*x^8 - 900*x^9 + 300*x^10)*Log[x]))/(-1 - 6*x - 15*x^2 - 17*x^3 - 3*x^4 + 12*x^5 + 8*x^6 - 3*x^7 - 3*x^8 + x^9),x]","75 \left(x^2+x^2 e^{2 \log ^2(x)}-\frac{18 x^2+29 x+35}{-x^3+x^2+2 x+1}+\frac{60 x^2+69 x+28}{\left(-x^3+x^2+2 x+1\right)^2}+\frac{2 x^5 e^{\log ^2(x)}}{-x^3+x^2+2 x+1}+2 x\right)","75 x^2 \left(e^{\log ^2(x)}-\frac{x}{x-\frac{(x+1)^2}{x^2}}\right)^2",1,"75*(2*x + x^2 + E^(2*Log[x]^2)*x^2 + (28 + 69*x + 60*x^2)/(1 + 2*x + x^2 - x^3)^2 + (2*E^Log[x]^2*x^5)/(1 + 2*x + x^2 - x^3) - (35 + 29*x + 18*x^2)/(1 + 2*x + x^2 - x^3))","B",1
7608,1,28,20,0.0129414,"\int -\frac{1}{3} 2^{1+4 x^3} 5^{2-2 x^3} x^2 \log \left(\frac{5}{4}\right) \, dx","Integrate[-1/3*(2^(1 + 4*x^3)*5^(2 - 2*x^3)*x^2*Log[5/4]),x]","\frac{16^{x^3} 25^{1-x^3} \log \left(\frac{5}{4}\right)}{3 \log \left(\frac{125}{64}\right)}","\frac{1}{9} 4^{2 x^3} 5^{2-2 x^3}",1,"(16^x^3*25^(1 - x^3)*Log[5/4])/(3*Log[125/64])","A",1
7609,1,20,14,0.1293132,"\int \frac{1+e^{1+x} x^2}{-x-5 e x^2+e^{1+x} x^2} \, dx","Integrate[(1 + E^(1 + x)*x^2)/(-x - 5*E*x^2 + E^(1 + x)*x^2),x]","\log \left(-e^{x+1} x+5 e x+1\right)-\log (x)","\log \left(e^x-\frac{1}{e x}-5\right)",1,"-Log[x] + Log[1 + 5*E*x - E^(1 + x)*x]","A",1
7610,1,29,31,0.2349637,"\int \exp \left(-1+36 x^2+4 e^{\frac{2 x^2}{e}} x^2-12 x^3+x^4+\left(12 x^3-2 x^4\right) \log ^2(25)+x^4 \log ^4(25)+e^{\frac{x^2}{e}} \left(24 x^2-4 x^3+4 x^3 \log ^2(25)\right)\right) \left(e \left(72 x-36 x^2+4 x^3\right)+e^{\frac{2 x^2}{e}} \left(8 e x+16 x^3\right)+e \left(36 x^2-8 x^3\right) \log ^2(25)+4 e x^3 \log ^4(25)+e^{\frac{x^2}{e}} \left(48 x^3-8 x^4+e \left(48 x-12 x^2\right)+\left(12 e x^2+8 x^4\right) \log ^2(25)\right)\right) \, dx","Integrate[E^(-1 + 36*x^2 + 4*E^((2*x^2)/E)*x^2 - 12*x^3 + x^4 + (12*x^3 - 2*x^4)*Log[25]^2 + x^4*Log[25]^4 + E^(x^2/E)*(24*x^2 - 4*x^3 + 4*x^3*Log[25]^2))*(E*(72*x - 36*x^2 + 4*x^3) + E^((2*x^2)/E)*(8*E*x + 16*x^3) + E*(36*x^2 - 8*x^3)*Log[25]^2 + 4*E*x^3*Log[25]^4 + E^(x^2/E)*(48*x^3 - 8*x^4 + E*(48*x - 12*x^2) + (12*E*x^2 + 8*x^4)*Log[25]^2)),x]","e^{x^2 \left(2 e^{\frac{x^2}{e}}+x \left(\log ^2(25)-1\right)+6\right)^2}","e^{x^2 \left(2 \left(e^{\frac{x^2}{e}}+3\right)-x+x \log ^2(25)\right)^2}",1,"E^(x^2*(6 + 2*E^(x^2/E) + x*(-1 + Log[25]^2))^2)","A",1
7611,1,8,12,0.000518,"\int -\frac{2 \log ^2(3)}{x^3} \, dx","Integrate[(-2*Log[3]^2)/x^3,x]","\frac{\log ^2(3)}{x^2}","\frac{\log ^2(3)}{x^2}+\frac{2}{25}",1,"Log[3]^2/x^2","A",1
7612,1,26,28,0.2311919,"\int \frac{e^{\frac{-26-31 x-2 x^2+5 x^3}{-6-7 x+x^3}} \left(8+48 x+4 x^2-16 x^3+4 x^4\right)}{36+84 x+49 x^2-12 x^3-14 x^4+x^6} \, dx","Integrate[(E^((-26 - 31*x - 2*x^2 + 5*x^3)/(-6 - 7*x + x^3))*(8 + 48*x + 4*x^2 - 16*x^3 + 4*x^4))/(36 + 84*x + 49*x^2 - 12*x^3 - 14*x^4 + x^6),x]","2 e^{5-\frac{2 \left(x^2-2 x-2\right)}{x^3-7 x-6}}","2 e^{\frac{x+\frac{2}{(3-x) (x+1)}}{x+2}+4}",1,"2*E^(5 - (2*(-2 - 2*x + x^2))/(-6 - 7*x + x^3))","A",1
7613,1,33,31,1.2508222,"\int \frac{e^{-3/x} \left(180-15 x-50 x^2+28 e^{3/x} x^2+e^{\frac{3}{x}+x} \left(16 x^2+8 x^3+x^4\right)+e^{\frac{3}{x}+x^2} \left(32 x^3+16 x^4+2 x^5\right)\right)}{16 x^2+8 x^3+x^4} \, dx","Integrate[(180 - 15*x - 50*x^2 + 28*E^(3/x)*x^2 + E^(3/x + x)*(16*x^2 + 8*x^3 + x^4) + E^(3/x + x^2)*(32*x^3 + 16*x^4 + 2*x^5))/(E^(3/x)*(16*x^2 + 8*x^3 + x^4)),x]","e^{x^2}-\frac{5 e^{-3/x} (x-3)}{x+4}+e^x-\frac{28}{x+4}","e^{x^2}-\frac{\left(5 e^{-3/x}-4\right) (x-3)}{x+4}+e^x+4",1,"E^x + E^x^2 - 28/(4 + x) - (5*(-3 + x))/(E^(3/x)*(4 + x))","A",1
7614,1,33,29,0.0415817,"\int \frac{e^{-\frac{-3+x}{x}} \left(-30-19 x-8 e^{\frac{-3+x}{x}} x^6\right)}{2 x^3} \, dx","Integrate[(-30 - 19*x - 8*E^((-3 + x)/x)*x^6)/(2*E^((-3 + x)/x)*x^3),x]","-x^4+\frac{3}{2} e^{\frac{3}{x}-1}+\frac{5 e^{\frac{3}{x}-1}}{x}","\frac{3 e^{\frac{3}{x}-1} \left(\frac{x}{2}+\frac{5}{3}\right)}{x}-x^4",1,"(3*E^(-1 + 3/x))/2 + (5*E^(-1 + 3/x))/x - x^4","A",1
7615,1,48,17,0.0201908,"\int \left((-512 x-512 x \log (2)) \log (x)+(768 x+768 x \log (2)) \log ^2(x)+(-384 x-384 x \log (2)) \log ^3(x)+(64 x+64 x \log (2)) \log ^4(x)\right) \, dx","Integrate[(-512*x - 512*x*Log[2])*Log[x] + (768*x + 768*x*Log[2])*Log[x]^2 + (-384*x - 384*x*Log[2])*Log[x]^3 + (64*x + 64*x*Log[2])*Log[x]^4,x]","64 (1+\log (2)) \left(8 x^2+\frac{1}{2} x^2 \log ^4(x)-4 x^2 \log ^3(x)+12 x^2 \log ^2(x)-16 x^2 \log (x)\right)","2 x^2 (1+\log (2)) (2 \log (x)-4)^4",1,"64*(1 + Log[2])*(8*x^2 - 16*x^2*Log[x] + 12*x^2*Log[x]^2 - 4*x^2*Log[x]^3 + (x^2*Log[x]^4)/2)","B",1
7616,1,66,25,0.1441623,"\int \frac{-25 x+\left(100 e^{2 e^{\frac{4 e^5+\log (5)}{e^5}}}-25 x\right) \log \left(4 e^{2 e^{\frac{4 e^5+\log (5)}{e^5}}}-x\right) \log \left(\log \left(4 e^{2 e^{\frac{4 e^5+\log (5)}{e^5}}}-x\right)\right)}{\left(4 e^{2 e^{\frac{4 e^5+\log (5)}{e^5}}}-x\right) \log \left(4 e^{2 e^{\frac{4 e^5+\log (5)}{e^5}}}-x\right)} \, dx","Integrate[(-25*x + (100*E^(2*E^((4*E^5 + Log[5])/E^5)) - 25*x)*Log[4*E^(2*E^((4*E^5 + Log[5])/E^5)) - x]*Log[Log[4*E^(2*E^((4*E^5 + Log[5])/E^5)) - x]])/((4*E^(2*E^((4*E^5 + Log[5])/E^5)) - x)*Log[4*E^(2*E^((4*E^5 + Log[5])/E^5)) - x]),x]","25 \left(\text{Ei}\left(\log \left(4 e^{2\ 5^{\frac{1}{e^5}} e^4}-x\right)\right)-\text{li}\left(4 e^{2\ 5^{\frac{1}{e^5}} e^4}-x\right)+x \log \left(\log \left(4 e^{2\ 5^{\frac{1}{e^5}} e^4}-x\right)\right)\right)","25 x \log \left(\log \left(4 e^{2 e^{4+\frac{\log (5)}{e^5}}}-x\right)\right)",1,"25*(ExpIntegralEi[Log[4*E^(2*5^E^(-5)*E^4) - x]] + x*Log[Log[4*E^(2*5^E^(-5)*E^4) - x]] - LogIntegral[4*E^(2*5^E^(-5)*E^4) - x])","C",1
7617,1,18,18,0.0047895,"\int \frac{-1-2 x+2 \log (\log (2))}{-x+\log (\log (2))} \, dx","Integrate[(-1 - 2*x + 2*Log[Log[2]])/(-x + Log[Log[2]]),x]","2 (x-\log (\log (2)))+\log (x-\log (\log (2)))","2 x+\log (x-\log (\log (2)))+e^5-\frac{52}{25}",1,"2*(x - Log[Log[2]]) + Log[x - Log[Log[2]]]","A",1
7618,1,34,42,0.0715169,"\int \frac{3528+e^{2 e^{2 x}} (168-48 x)-1008 x+e^{e^{2 x}} \left(1554-444 x+e^{2 x} \left(180-420 x+60 x^2\right)\right)}{3969-18522 x+24255 x^2-6174 x^3+441 x^4+e^{2 e^{2 x}} \left(144-672 x+880 x^2-224 x^3+16 x^4\right)+e^{e^{2 x}} \left(1512-7056 x+9240 x^2-2352 x^3+168 x^4\right)} \, dx","Integrate[(3528 + E^(2*E^(2*x))*(168 - 48*x) - 1008*x + E^E^(2*x)*(1554 - 444*x + E^(2*x)*(180 - 420*x + 60*x^2)))/(3969 - 18522*x + 24255*x^2 - 6174*x^3 + 441*x^4 + E^(2*E^(2*x))*(144 - 672*x + 880*x^2 - 224*x^3 + 16*x^4) + E^E^(2*x)*(1512 - 7056*x + 9240*x^2 - 2352*x^3 + 168*x^4)),x]","\frac{6 \left(e^{e^{2 x}}+4\right)}{\left(4 e^{e^{2 x}}+21\right) \left(x^2-7 x+3\right)}","\frac{2}{\left(\frac{5}{e^{e^{2 x}}+4}+4\right) \left(\frac{1}{3} \left(x \left(x+\frac{3}{x}\right)-x\right)-2 x\right)}",1,"(6*(4 + E^E^(2*x)))/((21 + 4*E^E^(2*x))*(3 - 7*x + x^2))","A",1
7619,1,16,21,0.0032523,"\int \frac{-2 x \log (4)+\log (4) \log (x)-\log (4) \log (4 x)}{10 \log (2)} \, dx","Integrate[(-2*x*Log[4] + Log[4]*Log[x] - Log[4]*Log[4*x])/(10*Log[2]),x]","-\frac{\log (4) \left(x^2+x \log (4)\right)}{\log (1024)}","-\frac{x \log (4) (x-\log (x)+\log (4 x))}{10 \log (2)}",1,"-((Log[4]*(x^2 + x*Log[4]))/Log[1024])","A",1
7620,1,38,30,0.1627351,"\int \frac{-12-9 x+3 x^2+e^4 \left(3 x+3 x^2\right)+e^2 \left(-6 x+6 x^2\right)+\left(6 x-6 x^2+e^2 \left(-6 x-6 x^2\right)\right) \log (x)+\left(3 x+3 x^2\right) \log ^2(x)}{20 x^3-5 x^4-5 e^4 x^4+e^2 \left(20 x^3-10 x^4\right)+\left(-4 x^3+x^4+e^4 x^4+e^2 \left(-4 x^3+2 x^4\right)\right) \log (3)+\left(-20 x^3+10 x^4+10 e^2 x^4+\left(4 x^3-2 x^4-2 e^2 x^4\right) \log (3)\right) \log (x)+\left(-5 x^4+x^4 \log (3)\right) \log ^2(x)+\left(40 x^2-10 x^3-10 e^4 x^3+e^2 \left(40 x^2-20 x^3\right)+\left(-8 x^2+2 x^3+2 e^4 x^3+e^2 \left(-8 x^2+4 x^3\right)\right) \log (3)+\left(-40 x^2+20 x^3+20 e^2 x^3+\left(8 x^2-4 x^3-4 e^2 x^3\right) \log (3)\right) \log (x)+\left(-10 x^3+2 x^3 \log (3)\right) \log ^2(x)\right) \log \left(\frac{4-x-e^2 x+x \log (x)}{-1-e^2+\log (x)}\right)+\left(20 x-5 x^2-5 e^4 x^2+e^2 \left(20 x-10 x^2\right)+\left(-4 x+x^2+e^4 x^2+e^2 \left(-4 x+2 x^2\right)\right) \log (3)+\left(-20 x+10 x^2+10 e^2 x^2+\left(4 x-2 x^2-2 e^2 x^2\right) \log (3)\right) \log (x)+\left(-5 x^2+x^2 \log (3)\right) \log ^2(x)\right) \log ^2\left(\frac{4-x-e^2 x+x \log (x)}{-1-e^2+\log (x)}\right)} \, dx","Integrate[(-12 - 9*x + 3*x^2 + E^4*(3*x + 3*x^2) + E^2*(-6*x + 6*x^2) + (6*x - 6*x^2 + E^2*(-6*x - 6*x^2))*Log[x] + (3*x + 3*x^2)*Log[x]^2)/(20*x^3 - 5*x^4 - 5*E^4*x^4 + E^2*(20*x^3 - 10*x^4) + (-4*x^3 + x^4 + E^4*x^4 + E^2*(-4*x^3 + 2*x^4))*Log[3] + (-20*x^3 + 10*x^4 + 10*E^2*x^4 + (4*x^3 - 2*x^4 - 2*E^2*x^4)*Log[3])*Log[x] + (-5*x^4 + x^4*Log[3])*Log[x]^2 + (40*x^2 - 10*x^3 - 10*E^4*x^3 + E^2*(40*x^2 - 20*x^3) + (-8*x^2 + 2*x^3 + 2*E^4*x^3 + E^2*(-8*x^2 + 4*x^3))*Log[3] + (-40*x^2 + 20*x^3 + 20*E^2*x^3 + (8*x^2 - 4*x^3 - 4*E^2*x^3)*Log[3])*Log[x] + (-10*x^3 + 2*x^3*Log[3])*Log[x]^2)*Log[(4 - x - E^2*x + x*Log[x])/(-1 - E^2 + Log[x])] + (20*x - 5*x^2 - 5*E^4*x^2 + E^2*(20*x - 10*x^2) + (-4*x + x^2 + E^4*x^2 + E^2*(-4*x + 2*x^2))*Log[3] + (-20*x + 10*x^2 + 10*E^2*x^2 + (4*x - 2*x^2 - 2*E^2*x^2)*Log[3])*Log[x] + (-5*x^2 + x^2*Log[3])*Log[x]^2)*Log[(4 - x - E^2*x + x*Log[x])/(-1 - E^2 + Log[x])]^2),x]","-\frac{3}{(\log (3)-5) \left(x+\log \left(\frac{e^2 x+x+x (-\log (x))-4}{-\log (x)+e^2+1}\right)\right)}","\frac{3}{(5-\log (3)) \left(x+\log \left(x-\frac{4}{-\log (x)+e^2+1}\right)\right)}",1,"-3/((-5 + Log[3])*(x + Log[(-4 + x + E^2*x - x*Log[x])/(1 + E^2 - Log[x])]))","A",1
7621,1,60,31,0.3015881,"\int \frac{-e^e+e^{2/x} \left(-4+2 x+x^2\right) \log ^2(2)+e^{\frac{1}{x}} \left(-4+6 x+2 x^2\right) \log ^2(2) \log (5)+\left(4 x+x^2\right) \log ^2(2) \log ^2(5)}{8+8 x+2 x^2} \, dx","Integrate[(-E^E + E^(2/x)*(-4 + 2*x + x^2)*Log[2]^2 + E^x^(-1)*(-4 + 6*x + 2*x^2)*Log[2]^2*Log[5] + (4*x + x^2)*Log[2]^2*Log[5]^2)/(8 + 8*x + 2*x^2),x]","\frac{e^{\frac{1}{x}} x^2 \log ^2(2) \log (25)+e^{2/x} x^2 \log ^2(2)+\left(x^2+2 x+4\right) \log ^2(2) \log ^2(5)+e^e}{2 (x+2)}","\frac{x^2 \log ^2(2) \left(e^{\frac{1}{x}}+\log (5)\right)^2+e^e}{2 (x+2)}",1,"(E^E + E^(2/x)*x^2*Log[2]^2 + (4 + 2*x + x^2)*Log[2]^2*Log[5]^2 + E^x^(-1)*x^2*Log[2]^2*Log[25])/(2*(2 + x))","A",1
7622,1,20,26,0.1796349,"\int \frac{-x+2 x^2+e^{\frac{1+3 x-x^2}{x}} \left(1+x^2\right)}{x^2} \, dx","Integrate[(-x + 2*x^2 + E^((1 + 3*x - x^2)/x)*(1 + x^2))/x^2,x]","2 x-e^{-x+\frac{1}{x}+3}-\log (x)","2 x-e^{-\frac{x-1}{x}-x+4}-\log (x)+3",1,"-E^(3 + x^(-1) - x) + 2*x - Log[x]","A",1
7623,1,12,12,0.0642223,"\int \frac{6+x-5 \log (x)}{64+48 x+12 x^2+x^3+\left(240+120 x+15 x^2\right) \log (x)+(300+75 x) \log ^2(x)+125 \log ^3(x)} \, dx","Integrate[(6 + x - 5*Log[x])/(64 + 48*x + 12*x^2 + x^3 + (240 + 120*x + 15*x^2)*Log[x] + (300 + 75*x)*Log[x]^2 + 125*Log[x]^3),x]","-\frac{x}{(x+5 \log (x)+4)^2}","-\frac{x}{(x+5 \log (x)+4)^2}",1,"-(x/(4 + x + 5*Log[x])^2)","A",1
7624,0,0,38,124.1786416,"\int \frac{2 e^{4+2 e^x x}-4 e^{2+e^x x} \log (5)+2 \log ^2(5)+\exp \left(\frac{4-e^{2+x+e^x x}+8 x+4 x^2+e^x \log (5)}{e^{2+e^x x}-\log (5)}\right) \left(e^{4+2 e^x x} \left(-1+e^x x\right)+\left(8 x+8 x^2\right) \log (5)-\log ^2(5)+e^x x \log ^2(5)+e^{2+e^x x} \left(-8 x-8 x^2+2 \log (5)+e^x \left(4 x+12 x^2+12 x^3+4 x^4-2 x \log (5)\right)\right)\right)}{e^{4+2 e^x x}-2 e^{2+e^x x} \log (5)+\log ^2(5)} \, dx","Integrate[(2*E^(4 + 2*E^x*x) - 4*E^(2 + E^x*x)*Log[5] + 2*Log[5]^2 + E^((4 - E^(2 + x + E^x*x) + 8*x + 4*x^2 + E^x*Log[5])/(E^(2 + E^x*x) - Log[5]))*(E^(4 + 2*E^x*x)*(-1 + E^x*x) + (8*x + 8*x^2)*Log[5] - Log[5]^2 + E^x*x*Log[5]^2 + E^(2 + E^x*x)*(-8*x - 8*x^2 + 2*Log[5] + E^x*(4*x + 12*x^2 + 12*x^3 + 4*x^4 - 2*x*Log[5]))))/(E^(4 + 2*E^x*x) - 2*E^(2 + E^x*x)*Log[5] + Log[5]^2),x]","\int \frac{2 e^{4+2 e^x x}-4 e^{2+e^x x} \log (5)+2 \log ^2(5)+\exp \left(\frac{4-e^{2+x+e^x x}+8 x+4 x^2+e^x \log (5)}{e^{2+e^x x}-\log (5)}\right) \left(e^{4+2 e^x x} \left(-1+e^x x\right)+\left(8 x+8 x^2\right) \log (5)-\log ^2(5)+e^x x \log ^2(5)+e^{2+e^x x} \left(-8 x-8 x^2+2 \log (5)+e^x \left(4 x+12 x^2+12 x^3+4 x^4-2 x \log (5)\right)\right)\right)}{e^{4+2 e^x x}-2 e^{2+e^x x} \log (5)+\log ^2(5)} \, dx","x \left(2-e^{\frac{(2 x+2)^2}{e^{e^x x+2}-\log (5)}-e^x}\right)",1,"Integrate[(2*E^(4 + 2*E^x*x) - 4*E^(2 + E^x*x)*Log[5] + 2*Log[5]^2 + E^((4 - E^(2 + x + E^x*x) + 8*x + 4*x^2 + E^x*Log[5])/(E^(2 + E^x*x) - Log[5]))*(E^(4 + 2*E^x*x)*(-1 + E^x*x) + (8*x + 8*x^2)*Log[5] - Log[5]^2 + E^x*x*Log[5]^2 + E^(2 + E^x*x)*(-8*x - 8*x^2 + 2*Log[5] + E^x*(4*x + 12*x^2 + 12*x^3 + 4*x^4 - 2*x*Log[5]))))/(E^(4 + 2*E^x*x) - 2*E^(2 + E^x*x)*Log[5] + Log[5]^2), x]","F",-1
7625,1,14,16,0.0037647,"\int \frac{25+4 x-2 x^2}{-1+x} \, dx","Integrate[(25 + 4*x - 2*x^2)/(-1 + x),x]","27 \log (x-1)-(x-1)^2","x \left(-x+\frac{27 \log (x-1)}{x}+2\right)",1,"-(-1 + x)^2 + 27*Log[-1 + x]","A",1
7626,1,25,24,0.2376198,"\int \frac{1260+10 x-125 x^3-x^4+e^{8+4 x+x^2} \left(-10-3 x^3-2 x^4\right)}{-126 x^3+e^{8+4 x+x^2} x^3-x^4} \, dx","Integrate[(1260 + 10*x - 125*x^3 - x^4 + E^(8 + 4*x + x^2)*(-10 - 3*x^3 - 2*x^4))/(-126*x^3 + E^(8 + 4*x + x^2)*x^3 - x^4),x]","\frac{5}{x^2}-\log \left(-e^{x^2+4 x+8}+x+126\right)+x","\frac{5}{x^2}+x-\log \left(x-e^{(x+2)^2+4}+126\right)",1,"5/x^2 + x - Log[126 - E^(8 + 4*x + x^2) + x]","A",1
7627,1,27,21,0.1450335,"\int \frac{1}{5} \exp \left(-6+\frac{4 e^{2 x} x+e^{3+x} \left(20 x+4 x^2\right)+e^6 \left(25 x+10 x^2+x^3\right)}{5 e^6}\right) \left(e^{2 x} (8+16 x)+e^6 \left(50+40 x+6 x^2\right)+e^{3+x} \left(40+56 x+8 x^2\right)\right) \, dx","Integrate[(E^(-6 + (4*E^(2*x)*x + E^(3 + x)*(20*x + 4*x^2) + E^6*(25*x + 10*x^2 + x^3))/(5*E^6))*(E^(2*x)*(8 + 16*x) + E^6*(50 + 40*x + 6*x^2) + E^(3 + x)*(40 + 56*x + 8*x^2)))/5,x]","2 e^{\frac{x \left(e^3 (x+5)+2 e^x\right)^2}{5 e^6}}","2 e^{\frac{1}{5} x \left(x+2 e^{x-3}+5\right)^2}",1,"2*E^((x*(2*E^x + E^3*(5 + x))^2)/(5*E^6))","A",1
7628,1,28,21,0.0634203,"\int \frac{\left(216+324 x+72 x^2-80 x^3-32 x^4\right) \log ^3\left(\frac{-24-25 x-6 x^2}{4+4 x+x^2}\right)+\left(3456+9936 x+11304 x^2+6352 x^3+1760 x^4+192 x^5\right) \log ^4\left(\frac{-24-25 x-6 x^2}{4+4 x+x^2}\right)}{16+14 x+3 x^2} \, dx","Integrate[((216 + 324*x + 72*x^2 - 80*x^3 - 32*x^4)*Log[(-24 - 25*x - 6*x^2)/(4 + 4*x + x^2)]^3 + (3456 + 9936*x + 11304*x^2 + 6352*x^3 + 1760*x^4 + 192*x^5)*Log[(-24 - 25*x - 6*x^2)/(4 + 4*x + x^2)]^4)/(16 + 14*x + 3*x^2),x]","(2 x+3)^4 \log ^4\left(-\frac{6 x^2+25 x+24}{(x+2)^2}\right)","(2 x+3)^4 \log ^4\left(-\frac{x}{(x+2)^2}-6\right)",1,"(3 + 2*x)^4*Log[-((24 + 25*x + 6*x^2)/(2 + x)^2)]^4","A",1
7629,1,25,26,0.4033502,"\int \frac{-25 \log (5)+e^{\frac{e^x x+2 x^3 \log (5)}{\log (5)}} \left(e^x (-1-x)-6 x^2 \log (5)\right)}{25 \log (5)} \, dx","Integrate[(-25*Log[5] + E^((E^x*x + 2*x^3*Log[5])/Log[5])*(E^x*(-1 - x) - 6*x^2*Log[5]))/(25*Log[5]),x]","-\frac{1}{25} e^{2 x^3+\frac{e^x x}{\log (5)}}-x","-\frac{1}{25} e^{2 x^3+\frac{e^x x}{\log (5)}}-x+2",1,"-1/25*E^(2*x^3 + (E^x*x)/Log[5]) - x","A",1
7630,1,32,29,0.0233629,"\int \frac{-4 x+28 x^2+16 x^3+e^x \left(-2 x-x^2\right)+(-12-6 x) \log (x)}{8 x+4 x^2} \, dx","Integrate[(-4*x + 28*x^2 + 16*x^3 + E^x*(-2*x - x^2) + (-12 - 6*x)*Log[x])/(8*x + 4*x^2),x]","2 (x+2)^2-9 (x+2)-\frac{e^x}{4}-\frac{3 \log ^2(x)}{4}+\log (x+2)","2 x^2-x+\frac{1}{4} \left(-e^x-3 \log ^2(x)\right)+\log (x+2)",1,"-1/4*E^x - 9*(2 + x) + 2*(2 + x)^2 - (3*Log[x]^2)/4 + Log[2 + x]","A",1
7631,1,36,19,0.0122619,"\int \left(\left(40-8 e^4-120 x+8 \log (5)\right) \log (x)+\left(20-4 e^4-120 x+4 \log (5)\right) \log ^2(x)\right) \, dx","Integrate[(40 - 8*E^4 - 120*x + 8*Log[5])*Log[x] + (20 - 4*E^4 - 120*x + 4*Log[5])*Log[x]^2,x]","-60 x^2 \log ^2(x)-4 e^4 x \log ^2(x)+20 x \log ^2(x)+4 x \log (5) \log ^2(x)","4 x \left(-15 x-e^4+5+\log (5)\right) \log ^2(x)",1,"20*x*Log[x]^2 - 4*E^4*x*Log[x]^2 - 60*x^2*Log[x]^2 + 4*x*Log[5]*Log[x]^2","A",1
7632,1,31,27,0.0248784,"\int \frac{e^{-2 x} \left(e^4 (-1-2 x)+x^2-4 e^2 x^2+4 e^{2 x} x^2-2 x^3\right)}{x^2} \, dx","Integrate[(E^4*(-1 - 2*x) + x^2 - 4*E^2*x^2 + 4*E^(2*x)*x^2 - 2*x^3)/(E^(2*x)*x^2),x]","e^{-2 x} x+4 x+2 e^{2-2 x}+\frac{e^{4-2 x}}{x}","x \left(\frac{e^{-2 x} \left(x+e^2\right)^2}{x^2}+4\right)-\frac{1}{\log (4)}",1,"2*E^(2 - 2*x) + E^(4 - 2*x)/x + 4*x + x/E^(2*x)","A",1
7633,1,23,25,0.0302611,"\int \frac{436+784 x-13 x^2+4 x^3+2 x^4+\left(-16+8 x+7 x^2-2 x^3-x^4\right) \log (3)}{16-8 x-7 x^2+2 x^3+x^4} \, dx","Integrate[(436 + 784*x - 13*x^2 + 4*x^3 + 2*x^4 + (-16 + 8*x + 7*x^2 - 2*x^3 - x^4)*Log[3])/(16 - 8*x - 7*x^2 + 2*x^3 + x^4),x]","\frac{-x-400}{x^2+x-4}+x (2-\log (3))","\frac{x+400}{-x^2-x+4}+2 x+x (-\log (3))",1,"(-400 - x)/(-4 + x + x^2) + x*(2 - Log[3])","A",1
7634,1,28,22,0.2089223,"\int \frac{\left(-32+16 x^5 \log ^8(5)-2 x^{10} \log ^{16}(5)\right) \log (x)+\left(16-8 x^5 \log ^8(5)+x^{10} \log ^{16}(5)+\left(-128+24 x^5 \log ^8(5)+2 x^{10} \log ^{16}(5)\right) \log (x)\right) \log \left(x^2\right)}{x^9 \log ^{16}(5) \log ^2\left(x^2\right)} \, dx","Integrate[((-32 + 16*x^5*Log[5]^8 - 2*x^10*Log[5]^16)*Log[x] + (16 - 8*x^5*Log[5]^8 + x^10*Log[5]^16 + (-128 + 24*x^5*Log[5]^8 + 2*x^10*Log[5]^16)*Log[x])*Log[x^2])/(x^9*Log[5]^16*Log[x^2]^2),x]","\frac{\left(x^5 \log ^8(5)-4\right)^2 \log (x)}{x^8 \log ^{16}(5) \log \left(x^2\right)}","\frac{\left(x-\frac{4}{x^4 \log ^8(5)}\right)^2 \log (x)}{\log \left(x^2\right)}",1,"((-4 + x^5*Log[5]^8)^2*Log[x])/(x^8*Log[5]^16*Log[x^2])","A",1
7635,1,28,24,0.0983811,"\int \frac{e^{2+x+x^2}+5 x+5 x^2+\log (3)+\left(5 x^2+e^{2+x+x^2} \left(-1+x+2 x^2\right)-\log (3)\right) \log (x)}{5 x^2} \, dx","Integrate[(E^(2 + x + x^2) + 5*x + 5*x^2 + Log[3] + (5*x^2 + E^(2 + x + x^2)*(-1 + x + 2*x^2) - Log[3])*Log[x])/(5*x^2),x]","\frac{\left(5 x^2+e^{x^2+x+2}+5 x+\log (3)\right) \log (x)}{5 x}","\left(\frac{e^{x^2+x+2}+\log (3)}{5 x}+x+1\right) \log (x)",1,"((E^(2 + x + x^2) + 5*x + 5*x^2 + Log[3])*Log[x])/(5*x)","A",1
7636,1,24,24,0.1971492,"\int \frac{e^{-x} \left(e^5 (-180-36 x)+e^5 (-90-18 x) \log (4)+\left(e^5 \left(-126 x-18 x^2\right)+e^5 \left(-63 x-9 x^2\right) \log (4)\right) \log \left(x^2\right)\right)}{\left(125 x+75 x^2+15 x^3+x^4\right) \log ^2\left(x^2\right)} \, dx","Integrate[(E^5*(-180 - 36*x) + E^5*(-90 - 18*x)*Log[4] + (E^5*(-126*x - 18*x^2) + E^5*(-63*x - 9*x^2)*Log[4])*Log[x^2])/(E^x*(125*x + 75*x^2 + 15*x^3 + x^4)*Log[x^2]^2),x]","\frac{9 e^{5-x} (2+\log (4))}{(x+5)^2 \log \left(x^2\right)}","\frac{9 e^{5-x} (2+\log (4))}{(x+5)^2 \log \left(x^2\right)}",1,"(9*E^(5 - x)*(2 + Log[4]))/((5 + x)^2*Log[x^2])","A",1
7637,1,46,34,0.1573764,"\int \frac{-500+2040 x-3140 x^2+2180 x^3-600 x^4+20 x^5+e^{\frac{2 e^4 x}{4-8 x+4 x^2}} \left(-20+80 x-120 x^2+80 x^3-20 x^4\right)+e^{\frac{e^4 x}{4-8 x+4 x^2}} \left(200-808 x+1228 x^2-836 x^3+220 x^4-4 x^5+e^4 \left(x^2+x^3\right)\right)}{e^{x+\frac{e^4 x}{4-8 x+4 x^2}} \left(40-120 x+120 x^2-40 x^3\right)+e^{x+\frac{2 e^4 x}{4-8 x+4 x^2}} \left(-4+12 x-12 x^2+4 x^3\right)+e^x \left(-100+300 x-300 x^2+100 x^3\right)} \, dx","Integrate[(-500 + 2040*x - 3140*x^2 + 2180*x^3 - 600*x^4 + 20*x^5 + E^((2*E^4*x)/(4 - 8*x + 4*x^2))*(-20 + 80*x - 120*x^2 + 80*x^3 - 20*x^4) + E^((E^4*x)/(4 - 8*x + 4*x^2))*(200 - 808*x + 1228*x^2 - 836*x^3 + 220*x^4 - 4*x^5 + E^4*(x^2 + x^3)))/(E^(x + (E^4*x)/(4 - 8*x + 4*x^2))*(40 - 120*x + 120*x^2 - 40*x^3) + E^(x + (2*E^4*x)/(4 - 8*x + 4*x^2))*(-4 + 12*x - 12*x^2 + 4*x^3) + E^x*(-100 + 300*x - 300*x^2 + 100*x^3)),x]","\frac{e^{-x} x \left(x+5 e^{\frac{e^4 x}{4 (x-1)^2}}-25\right)}{e^{\frac{e^4 x}{4 (x-1)^2}}-5}","4-e^{-x} x \left(\frac{x}{5-e^{\frac{e^4 x}{(2 x-2)^2}}}-5\right)",1,"(x*(-25 + 5*E^((E^4*x)/(4*(-1 + x)^2)) + x))/(E^x*(-5 + E^((E^4*x)/(4*(-1 + x)^2))))","A",1
7638,1,35,25,0.168002,"\int \frac{8+\left(-3+2 x+x^2\right) \log (4)+e^{2 x} \left(4+8 x+4 x^2+\left(1+4 x+5 x^2+2 x^3\right) \log (4)\right)}{\left(1+2 x+x^2\right) \log (4)} \, dx","Integrate[(8 + (-3 + 2*x + x^2)*Log[4] + E^(2*x)*(4 + 8*x + 4*x^2 + (1 + 4*x + 5*x^2 + 2*x^3)*Log[4]))/((1 + 2*x + x^2)*Log[4]),x]","\frac{x \log (4)+\frac{1}{2} e^{2 x} (x \log (16)+4)+\frac{\log (256)-8}{x+1}}{\log (4)}","x+\left(e^{2 x}-\frac{4}{x+1}\right) \left(x+\frac{2}{\log (4)}\right)+9",1,"(x*Log[4] + (E^(2*x)*(4 + x*Log[16]))/2 + (-8 + Log[256])/(1 + x))/Log[4]","A",1
7639,1,6,24,0.0002344,"\int -\frac{1}{3 x} \, dx","Integrate[-1/3*1/x,x]","-\frac{\log (x)}{3}","\frac{1}{6} \left(\log \left(\frac{(1+\log (2))^4}{9 x^2}\right)+4-\log (5)\right)",1,"-1/3*Log[x]","A",1
7640,1,15,15,0.0008683,"\int -\frac{3 e \log (i \pi +\log (6))}{x^2} \, dx","Integrate[(-3*E*Log[I*Pi + Log[6]])/x^2,x]","\frac{3 e \log (\log (6)+i \pi )}{x}","\frac{3 e \log (\log (6)+i \pi )}{x}",1,"(3*E*Log[I*Pi + Log[6]])/x","A",1
7641,1,12,27,0.0000667,"\int \frac{1}{10} (4+5 e) \, dx","Integrate[(4 + 5*E)/10,x]","\frac{e x}{2}+\frac{2 x}{5}","\frac{1}{2} \left(e \left(x+e^4\right)-4 \left(-\frac{x}{5}-3 e^3\right)\right)+1",1,"(2*x)/5 + (E*x)/2","A",1
7642,1,19,11,0.0000656,"\int \frac{e^8}{1-14 e^4+49 e^8} \, dx","Integrate[E^8/(1 - 14*E^4 + 49*E^8),x]","\frac{e^8 x}{1-14 e^4+49 e^8}","\frac{x}{\left(7-\frac{1}{e^4}\right)^2}",1,"(E^8*x)/(1 - 14*E^4 + 49*E^8)","A",1
7643,1,24,25,0.1371425,"\int \frac{-60 x^2+15 x^3+e^{\frac{-4-2 x+x \log (-4+x)}{x}} \left(240-60 x-15 x^2\right)+\left(120 x+30 x^2-15 x^3+e^{\frac{-4-2 x+x \log (-4+x)}{x}} \left(-60 x+15 x^2\right)\right) \log \left(-2+e^{\frac{-4-2 x+x \log (-4+x)}{x}}-x\right)}{\left(8 x+2 x^2-x^3+e^{\frac{-4-2 x+x \log (-4+x)}{x}} \left(-4 x+x^2\right)\right) \log ^2\left(-2+e^{\frac{-4-2 x+x \log (-4+x)}{x}}-x\right)} \, dx","Integrate[(-60*x^2 + 15*x^3 + E^((-4 - 2*x + x*Log[-4 + x])/x)*(240 - 60*x - 15*x^2) + (120*x + 30*x^2 - 15*x^3 + E^((-4 - 2*x + x*Log[-4 + x])/x)*(-60*x + 15*x^2))*Log[-2 + E^((-4 - 2*x + x*Log[-4 + x])/x) - x])/((8*x + 2*x^2 - x^3 + E^((-4 - 2*x + x*Log[-4 + x])/x)*(-4*x + x^2))*Log[-2 + E^((-4 - 2*x + x*Log[-4 + x])/x) - x]^2),x]","\frac{15 x}{\log \left(e^{-\frac{4}{x}-2} (x-4)-x-2\right)}","\frac{15 x}{\log \left(e^{-\frac{2 (x+2)}{x}} (x-4)-x-2\right)}",1,"(15*x)/Log[-2 + E^(-2 - 4/x)*(-4 + x) - x]","A",1
7644,1,25,25,0.1540061,"\int \frac{e^{e^{-2+2 x}} \left(e^{\frac{2 (30+x)}{3}} (-3-2 x) \log (4)-6 e^{-2+2 x+\frac{2 (30+x)}{3}} x \log (4)\right)}{3+6 e^{e^{-2+2 x}+\frac{2 (30+x)}{3}} x+3 e^{2 e^{-2+2 x}+\frac{4 (30+x)}{3}} x^2} \, dx","Integrate[(E^E^(-2 + 2*x)*(E^((2*(30 + x))/3)*(-3 - 2*x)*Log[4] - 6*E^(-2 + 2*x + (2*(30 + x))/3)*x*Log[4]))/(3 + 6*E^(E^(-2 + 2*x) + (2*(30 + x))/3)*x + 3*E^(2*E^(-2 + 2*x) + (4*(30 + x))/3)*x^2),x]","\frac{\log (4)}{e^{\frac{2 x}{3}+e^{2 x-2}+20} x+1}","\frac{\log (4)}{e^{\frac{2 x}{3}+e^{2 x-2}+20} x+1}",1,"Log[4]/(1 + E^(20 + E^(-2 + 2*x) + (2*x)/3)*x)","A",1
7645,1,16,16,0.0058782,"\int -\frac{1}{10+2 x+(20+4 x) \log \left(75+30 x+3 x^2\right)+(10+2 x) \log ^2\left(75+30 x+3 x^2\right)} \, dx","Integrate[-(10 + 2*x + (20 + 4*x)*Log[75 + 30*x + 3*x^2] + (10 + 2*x)*Log[75 + 30*x + 3*x^2]^2)^(-1),x]","\frac{1}{4 \left(\log \left(3 (x+5)^2\right)+1\right)}","\frac{1}{4 \left(\log \left(3 (x+5)^2\right)+1\right)}",1,"1/(4*(1 + Log[3*(5 + x)^2]))","A",1
7646,1,15,19,0.0053156,"\int \frac{6+9 x+8 x^2+4 x^3}{3 x+2 x^2} \, dx","Integrate[(6 + 9*x + 8*x^2 + 4*x^3)/(3*x + 2*x^2),x]","x^2+x+2 \log (x)+\log (2 x+3)","x^2+\log \left(3 x^2 (2 x+3)\right)+x+e^2",1,"x + x^2 + 2*Log[x] + Log[3 + 2*x]","A",1
7647,1,24,29,0.0036139,"\int \frac{-\frac{3 e^2}{x}+6 x-3 e^3 x-2 x^2}{3 x} \, dx","Integrate[((-3*E^2)/x + 6*x - 3*E^3*x - 2*x^2)/(3*x),x]","-\frac{x^2}{3}-e^3 x+2 x+\frac{e^2}{x}","-\frac{x^2}{3}+2 x-e^3 (x-4)+\frac{e^2}{x}+e^3",1,"E^2/x + 2*x - E^3*x - x^2/3","A",1
7648,1,48,32,0.1156942,"\int \frac{\exp \left(\frac{-3 x+3 e^{20} x+4 x^2-2 x^3-x^2 \log (5)}{-3+3 e^{20}+3 x}\right) \left(3+3 e^{40}-8 x+10 x^2-4 x^3+e^{20} \left(-6+8 x-6 x^2\right)+\left(2 x-2 e^{20} x-x^2\right) \log (5)\right)}{3+3 e^{40}-6 x+3 x^2+e^{20} (-6+6 x)} \, dx","Integrate[(E^((-3*x + 3*E^20*x + 4*x^2 - 2*x^3 - x^2*Log[5])/(-3 + 3*E^20 + 3*x))*(3 + 3*E^40 - 8*x + 10*x^2 - 4*x^3 + E^20*(-6 + 8*x - 6*x^2) + (2*x - 2*E^20*x - x^2)*Log[5]))/(3 + 3*E^40 - 6*x + 3*x^2 + E^20*(-6 + 6*x)),x]","5^{-\frac{x^2}{3 \left(x+e^{20}-1\right)}} \exp \left(-\frac{x \left(2 x^2-4 x-3 e^{20}+3\right)}{3 \left(x+e^{20}-1\right)}\right)","\exp \left(x-\frac{x^2 (-2 x+1-\log (5))}{3 \left(-x-e^{20}+1\right)}\right)",1,"1/(5^(x^2/(3*(-1 + E^20 + x)))*E^((x*(3 - 3*E^20 - 4*x + 2*x^2))/(3*(-1 + E^20 + x))))","A",1
7649,1,30,27,0.1318908,"\int \frac{5 x^2-15 x^2 \log \left(\frac{x}{3}\right) \log \left(\log \left(\frac{x}{3}\right)\right)+\left(2-40 x-15 x^2\right) \log \left(\frac{x}{3}\right) \log ^2\left(\log \left(\frac{x}{3}\right)\right)}{2 \log \left(\frac{x}{3}\right) \log ^2\left(\log \left(\frac{x}{3}\right)\right)} \, dx","Integrate[(5*x^2 - 15*x^2*Log[x/3]*Log[Log[x/3]] + (2 - 40*x - 15*x^2)*Log[x/3]*Log[Log[x/3]]^2)/(2*Log[x/3]*Log[Log[x/3]]^2),x]","-\frac{5 x^3}{2}-\frac{5 x^3}{2 \log \left(\log \left(\frac{x}{3}\right)\right)}-10 x^2+x","\frac{5}{2} x^2 \left(-x-\frac{x}{\log \left(\log \left(\frac{x}{3}\right)\right)}-4\right)+x+4",1,"x - 10*x^2 - (5*x^3)/2 - (5*x^3)/(2*Log[Log[x/3]])","A",1
7650,1,27,30,0.0875942,"\int \frac{e^3 \left(5 x-16 x^2+x^3+2 x^4+(-15-5 x) \log (9+3 x)+\frac{\left(-x^2+\log (9+3 x)\right) \left(e^3 \left(-75 x^2+5 x^3+7 x^4-x^5\right)+e^3 \left(75-5 x-7 x^2+x^3\right) \log (9+3 x)\right)}{e^3}\right)}{\left(-x^2+\log (9+3 x)\right) \left(-75 x^2+5 x^3+7 x^4-x^5+\left(75-5 x-7 x^2+x^3\right) \log (9+3 x)\right)} \, dx","Integrate[(E^3*(5*x - 16*x^2 + x^3 + 2*x^4 + (-15 - 5*x)*Log[9 + 3*x] + ((-x^2 + Log[9 + 3*x])*(E^3*(-75*x^2 + 5*x^3 + 7*x^4 - x^5) + E^3*(75 - 5*x - 7*x^2 + x^3)*Log[9 + 3*x]))/E^3))/((-x^2 + Log[9 + 3*x])*(-75*x^2 + 5*x^3 + 7*x^4 - x^5 + (75 - 5*x - 7*x^2 + x^3)*Log[9 + 3*x])),x]","e^3 \left(\frac{x}{(x-5) \left(\log (3 (x+3))-x^2\right)}+x\right)","\frac{e^3 x}{(x-5) \left(\log (3 (x+3))-x^2\right)}+e^3 x",1,"E^3*(x + x/((-5 + x)*(-x^2 + Log[3*(3 + x)])))","A",1
7651,1,24,23,1.0897906,"\int \frac{\left(-10+4 x+e^x \left(50+10 x-32 x^2+8 x^3\right)-10 \log (2 x)\right) \log \left(\frac{e^x \left(5 x-2 x^2\right)-x \log (2 x)}{-5+2 x}\right)}{e^x \left(25 x-20 x^2+4 x^3\right)+\left(-5 x+2 x^2\right) \log (2 x)} \, dx","Integrate[((-10 + 4*x + E^x*(50 + 10*x - 32*x^2 + 8*x^3) - 10*Log[2*x])*Log[(E^x*(5*x - 2*x^2) - x*Log[2*x])/(-5 + 2*x)])/(E^x*(25*x - 20*x^2 + 4*x^3) + (-5*x + 2*x^2)*Log[2*x]),x]","\log ^2\left(-e^x x-\frac{x \log (2 x)}{2 x-5}\right)","\log ^2\left(x \left(\frac{\log (2 x)}{5-2 x}-e^x\right)\right)",1,"Log[-(E^x*x) - (x*Log[2*x])/(-5 + 2*x)]^2","A",1
7652,1,19,19,0.0066744,"\int \frac{e-e \log (x)}{3 e x^2+e^{5+4 e^7} x^2} \, dx","Integrate[(E - E*Log[x])/(3*E*x^2 + E^(5 + 4*E^7)*x^2),x]","\frac{\log (x)}{\left(3+e^{4+4 e^7}\right) x}","\frac{\log (x)}{\left(3+e^{4+4 e^7}\right) x}",1,"Log[x]/((3 + E^(4 + 4*E^7))*x)","A",1
7653,1,30,32,4.8316992,"\int \frac{2 x^3+4 x^4+2 x^5+e^{\frac{e^{5+x}+e^{e^x} \left(-x-x^2\right)}{x+x^2}} \left(e^{5+x} \left(1+x-x^2\right)+e^{e^x+x} \left(x^2+2 x^3+x^4\right)\right)}{x^2+2 x^3+x^4} \, dx","Integrate[(2*x^3 + 4*x^4 + 2*x^5 + E^((E^(5 + x) + E^E^x*(-x - x^2))/(x + x^2))*(E^(5 + x)*(1 + x - x^2) + E^(E^x + x)*(x^2 + 2*x^3 + x^4)))/(x^2 + 2*x^3 + x^4),x]","x^2-e^{\frac{e^{x+5}}{x (x+1)}-e^{e^x}}","x^2+\log \left(e^{-e^{\frac{e^{x+5}}{x^2+x}-e^{e^x}}}\right)",1,"-E^(-E^E^x + E^(5 + x)/(x*(1 + x))) + x^2","A",1
7654,1,24,24,0.1809109,"\int \exp \left(16 x^2+25 e^{2 x} x^2+e^{2 \log ^4(2)} x^2-8 x^3+x^4+e^{\log ^4(2)} \left(8 x^2-10 e^x x^2-2 x^3\right)+e^x \left(-40 x^2+10 x^3\right)\right) \left(32 x+2 e^{2 \log ^4(2)} x-24 x^2+4 x^3+e^{2 x} \left(50 x+50 x^2\right)+e^x \left(-80 x-10 x^2+10 x^3\right)+e^{\log ^4(2)} \left(16 x-6 x^2+e^x \left(-20 x-10 x^2\right)\right)\right) \, dx","Integrate[E^(16*x^2 + 25*E^(2*x)*x^2 + E^(2*Log[2]^4)*x^2 - 8*x^3 + x^4 + E^Log[2]^4*(8*x^2 - 10*E^x*x^2 - 2*x^3) + E^x*(-40*x^2 + 10*x^3))*(32*x + 2*E^(2*Log[2]^4)*x - 24*x^2 + 4*x^3 + E^(2*x)*(50*x + 50*x^2) + E^x*(-80*x - 10*x^2 + 10*x^3) + E^Log[2]^4*(16*x - 6*x^2 + E^x*(-20*x - 10*x^2))),x]","e^{x^2 \left(-x-5 e^x+4+e^{\log ^4(2)}\right)^2}","e^{x^2 \left(-x-5 e^x+4+e^{\log ^4(2)}\right)^2}",1,"E^((4 - 5*E^x + E^Log[2]^4 - x)^2*x^2)","A",1
7655,1,31,17,0.0851371,"\int \frac{e^{-4-\log ^2((9 x+x \log (3)) \log (x))} (-4-4 \log (x)+(-2-2 \log (x)) \log ((9 x+x \log (3)) \log (x)))}{x (9 x+x \log (3))^4 \log ^5(x)} \, dx","Integrate[(E^(-4 - Log[(9*x + x*Log[3])*Log[x]]^2)*(-4 - 4*Log[x] + (-2 - 2*Log[x])*Log[(9*x + x*Log[3])*Log[x]]))/(x*(9*x + x*Log[3])^4*Log[x]^5),x]","\frac{e^{-\log ^2(x (9+\log (3)) \log (x))-4}}{x^4 (9+\log (3))^4 \log ^4(x)}","e^{-(\log (x (9+\log (3)) \log (x))+2)^2}",1,"E^(-4 - Log[x*(9 + Log[3])*Log[x]]^2)/(x^4*(9 + Log[3])^4*Log[x]^4)","A",1
7656,1,57,22,0.0389805,"\int \frac{-10267500+5476000 x-547600 x^2+\left(8556250-4107000 x+273800 x^2\right) \log (x)+(-1711250+684500 x) \log ^2(x)}{x^3} \, dx","Integrate[(-10267500 + 5476000*x - 547600*x^2 + (8556250 - 4107000*x + 273800*x^2)*Log[x] + (-1711250 + 684500*x)*Log[x]^2)/x^3,x]","68450 \left(\frac{50}{x^2}+\frac{25 \log ^2(x)}{2 x^2}-\frac{50 \log (x)}{x^2}-\frac{40}{x}-\frac{10 \log ^2(x)}{x}+2 \log ^2(x)+\frac{40 \log (x)}{x}-8 \log (x)\right)","\frac{34225 (5-2 x)^2 (2-\log (x))^2}{x^2}+5",1,"68450*(50/x^2 - 40/x - 8*Log[x] - (50*Log[x])/x^2 + (40*Log[x])/x + 2*Log[x]^2 + (25*Log[x]^2)/(2*x^2) - (10*Log[x]^2)/x)","B",1
7657,1,21,34,0.0094303,"\int \frac{-1-e^2+11 x-5 x^2}{2 e^2-2 x+10 x^2} \, dx","Integrate[(-1 - E^2 + 11*x - 5*x^2)/(2*E^2 - 2*x + 10*x^2),x]","\frac{1}{2} \left(\log \left(5 x^2-x+e^2\right)-x\right)","\frac{1}{2} \left(x-\log \left(\frac{4}{5 x^2-x+e^2}\right)\right)-x+e^{e^3}",1,"(-x + Log[E^2 - x + 5*x^2])/2","A",1
7658,1,46,29,0.0757673,"\int \frac{625+523 x-48 x^2-e^{3 x} x^2+x^3+e^{2 x} \left(1250 x^2-102 x^3+2 x^4\right)+e^x \left(-1-2 x-390625 x^2+63750 x^3-3851 x^4+102 x^5-x^6\right)}{e^{3 x} x^2+e^{2 x} \left(-1250 x^2+102 x^3-2 x^4\right)+e^x \left(390625 x^2-63750 x^3+3851 x^4-102 x^5+x^6\right)} \, dx","Integrate[(625 + 523*x - 48*x^2 - E^(3*x)*x^2 + x^3 + E^(2*x)*(1250*x^2 - 102*x^3 + 2*x^4) + E^x*(-1 - 2*x - 390625*x^2 + 63750*x^3 - 3851*x^4 + 102*x^5 - x^6))/(E^(3*x)*x^2 + E^(2*x)*(-1250*x^2 + 102*x^3 - 2*x^4) + E^x*(390625*x^2 - 63750*x^3 + 3851*x^4 - 102*x^5 + x^6)),x]","-\frac{-e^x x^2+\left(x^2-51 x+625\right) x^2+e^{-x}}{x \left(x^2-51 x-e^x+625\right)}","\frac{e^{-x}}{x \left(-(25-x)^2+e^x+x\right)}-x",1,"-((E^(-x) - E^x*x^2 + x^2*(625 - 51*x + x^2))/(x*(625 - E^x - 51*x + x^2)))","A",1
7659,0,0,26,0.5473281,"\int \frac{-2 x^2 \log (3)+2 x \log (3) \log (4)+\left(2 x^3+4 x^5+\left(-2 x^2-6 x^4\right) \log (4)+2 x^3 \log ^2(4)\right) \log \left(\frac{3}{x}\right)+\left(4 x^4 \log (3)-6 x^3 \log (3) \log (4)+2 x^2 \log (3) \log ^2(4)\right) \log \left(\frac{3}{x}\right) \log \left(\log \left(\frac{3}{x}\right)\right)+\left(-2 \log (3)+\left(2 x+4 x^3-2 x^2 \log (4)\right) \log \left(\frac{3}{x}\right)+\left(4 x^2 \log (3)-2 x \log (3) \log (4)\right) \log \left(\frac{3}{x}\right) \log \left(\log \left(\frac{3}{x}\right)\right)\right) \log \left(\frac{x+\log (3) \log \left(\log \left(\frac{3}{x}\right)\right)}{\log (3)}\right)}{x^2 \log \left(\frac{3}{x}\right)+x \log (3) \log \left(\frac{3}{x}\right) \log \left(\log \left(\frac{3}{x}\right)\right)} \, dx","Integrate[(-2*x^2*Log[3] + 2*x*Log[3]*Log[4] + (2*x^3 + 4*x^5 + (-2*x^2 - 6*x^4)*Log[4] + 2*x^3*Log[4]^2)*Log[3/x] + (4*x^4*Log[3] - 6*x^3*Log[3]*Log[4] + 2*x^2*Log[3]*Log[4]^2)*Log[3/x]*Log[Log[3/x]] + (-2*Log[3] + (2*x + 4*x^3 - 2*x^2*Log[4])*Log[3/x] + (4*x^2*Log[3] - 2*x*Log[3]*Log[4])*Log[3/x]*Log[Log[3/x]])*Log[(x + Log[3]*Log[Log[3/x]])/Log[3]])/(x^2*Log[3/x] + x*Log[3]*Log[3/x]*Log[Log[3/x]]),x]","\int \frac{-2 x^2 \log (3)+2 x \log (3) \log (4)+\left(2 x^3+4 x^5+\left(-2 x^2-6 x^4\right) \log (4)+2 x^3 \log ^2(4)\right) \log \left(\frac{3}{x}\right)+\left(4 x^4 \log (3)-6 x^3 \log (3) \log (4)+2 x^2 \log (3) \log ^2(4)\right) \log \left(\frac{3}{x}\right) \log \left(\log \left(\frac{3}{x}\right)\right)+\left(-2 \log (3)+\left(2 x+4 x^3-2 x^2 \log (4)\right) \log \left(\frac{3}{x}\right)+\left(4 x^2 \log (3)-2 x \log (3) \log (4)\right) \log \left(\frac{3}{x}\right) \log \left(\log \left(\frac{3}{x}\right)\right)\right) \log \left(\frac{x+\log (3) \log \left(\log \left(\frac{3}{x}\right)\right)}{\log (3)}\right)}{x^2 \log \left(\frac{3}{x}\right)+x \log (3) \log \left(\frac{3}{x}\right) \log \left(\log \left(\frac{3}{x}\right)\right)} \, dx","\left(x^2-x \log (4)+\log \left(\frac{x}{\log (3)}+\log \left(\log \left(\frac{3}{x}\right)\right)\right)\right)^2",1,"Integrate[(-2*x^2*Log[3] + 2*x*Log[3]*Log[4] + (2*x^3 + 4*x^5 + (-2*x^2 - 6*x^4)*Log[4] + 2*x^3*Log[4]^2)*Log[3/x] + (4*x^4*Log[3] - 6*x^3*Log[3]*Log[4] + 2*x^2*Log[3]*Log[4]^2)*Log[3/x]*Log[Log[3/x]] + (-2*Log[3] + (2*x + 4*x^3 - 2*x^2*Log[4])*Log[3/x] + (4*x^2*Log[3] - 2*x*Log[3]*Log[4])*Log[3/x]*Log[Log[3/x]])*Log[(x + Log[3]*Log[Log[3/x]])/Log[3]])/(x^2*Log[3/x] + x*Log[3]*Log[3/x]*Log[Log[3/x]]), x]","F",-1
7660,1,14,20,0.0022437,"\int \frac{5+e^{e^{16 e^2}}}{x} \, dx","Integrate[(5 + E^E^(16*E^2))/x,x]","\left(5+e^{e^{16 e^2}}\right) \log (x)","\left(5+e^{e^{16 e^2}}\right) \log \left(\left(3+e^{25}\right) x\right)",1,"(5 + E^E^(16*E^2))*Log[x]","A",1
7661,1,29,29,0.1621156,"\int \frac{-6 x^2-30 x^3+\left(-3-8 x+6 x^3\right) \log (x)+\left(-3-4 x+2 x^3\right) \log ^2(x)}{2 x^3 \log ^4(x)} \, dx","Integrate[(-6*x^2 - 30*x^3 + (-3 - 8*x + 6*x^3)*Log[x] + (-3 - 4*x + 2*x^3)*Log[x]^2)/(2*x^3*Log[x]^4),x]","\frac{\frac{\left(4 x^3+8 x+3\right) \log (x)}{x^2}+20 x+4}{4 \log ^3(x)}","\frac{\frac{3}{4 x^2}+x+\frac{2}{x}+\frac{5 x+1}{\log (x)}}{\log ^2(x)}",1,"(4 + 20*x + ((3 + 8*x + 4*x^3)*Log[x])/x^2)/(4*Log[x]^3)","A",1
7662,1,46,29,0.0421302,"\int \frac{20 e^5+20 e^{5+x}+\left(20+20 e^x\right) \log \left(-e^{e^3}+e^x+x\right)}{e^x \left(-16+40 e^{10}-25 e^{20}\right)+e^{e^3} \left(16-40 e^{10}+25 e^{20}\right)-16 x+40 e^{10} x-25 e^{20} x+\left(e^x \left(80 e^5-100 e^{15}\right)+e^{e^3} \left(-80 e^5+100 e^{15}\right)+80 e^5 x-100 e^{15} x\right) \log \left(-e^{e^3}+e^x+x\right)+\left(e^x \left(40-150 e^{10}\right)+e^{e^3} \left(-40+150 e^{10}\right)+40 x-150 e^{10} x\right) \log ^2\left(-e^{e^3}+e^x+x\right)+\left(100 e^{5+e^3}-100 e^{5+x}-100 e^5 x\right) \log ^3\left(-e^{e^3}+e^x+x\right)+\left(25 e^{e^3}-25 e^x-25 x\right) \log ^4\left(-e^{e^3}+e^x+x\right)} \, dx","Integrate[(20*E^5 + 20*E^(5 + x) + (20 + 20*E^x)*Log[-E^E^3 + E^x + x])/(E^x*(-16 + 40*E^10 - 25*E^20) + E^E^3*(16 - 40*E^10 + 25*E^20) - 16*x + 40*E^10*x - 25*E^20*x + (E^x*(80*E^5 - 100*E^15) + E^E^3*(-80*E^5 + 100*E^15) + 80*E^5*x - 100*E^15*x)*Log[-E^E^3 + E^x + x] + (E^x*(40 - 150*E^10) + E^E^3*(-40 + 150*E^10) + 40*x - 150*E^10*x)*Log[-E^E^3 + E^x + x]^2 + (100*E^(5 + E^3) - 100*E^(5 + x) - 100*E^5*x)*Log[-E^E^3 + E^x + x]^3 + (25*E^E^3 - 25*E^x - 25*x)*Log[-E^E^3 + E^x + x]^4),x]","\frac{2}{5 \log ^2\left(x+e^x-e^{e^3}\right)+10 e^5 \log \left(x+e^x-e^{e^3}\right)+5 e^{10}-4}","\frac{2}{5 \left(\log \left(x+e^x-e^{e^3}\right)+e^5\right)^2-4}-4",1,"2/(-4 + 5*E^10 + 10*E^5*Log[-E^E^3 + E^x + x] + 5*Log[-E^E^3 + E^x + x]^2)","A",1
7663,1,22,22,0.5645713,"\int \frac{e^{e^{5-x}} \left(4 e^5-4 e^{5-x} x\right)+e^{e^{5-x}} \left(-2+2 e^x\right) \log \left(e^x-x\right)+e^{e^{5-x}} \left(-e^5+e^{5-x} x\right) \log ^2\left(e^x-x\right)}{e^x-x} \, dx","Integrate[(E^E^(5 - x)*(4*E^5 - 4*E^(5 - x)*x) + E^E^(5 - x)*(-2 + 2*E^x)*Log[E^x - x] + E^E^(5 - x)*(-E^5 + E^(5 - x)*x)*Log[E^x - x]^2)/(E^x - x),x]","e^{e^{5-x}} \left(\log ^2\left(e^x-x\right)-4\right)","e^{e^{5-x}} \left(\log ^2\left(e^x-x\right)-4\right)",1,"E^E^(5 - x)*(-4 + Log[E^x - x]^2)","A",1
7664,1,14,19,0.1318312,"\int \frac{\left(-2-2 x^2+4 x^3\right) \log \left(\frac{1+3 x-x^2+x^3}{x}\right)}{x+3 x^2-x^3+x^4} \, dx","Integrate[((-2 - 2*x^2 + 4*x^3)*Log[(1 + 3*x - x^2 + x^3)/x])/(x + 3*x^2 - x^3 + x^4),x]","\log ^2\left(x^2-x+\frac{1}{x}+3\right)","\log ^2\left(x^2-x+\frac{1}{x}+3\right)+e^2-1",1,"Log[3 + x^(-1) - x + x^2]^2","A",1
7665,1,43,28,0.4557689,"\int \frac{-1536-400 x+96 x^2+25 x^3+e^x \left(-768-8 x+146 x^2+25 x^3\right)+\left(-8 x-4 e^x x+4 x^2\right) \log \left(\frac{4 x^2}{2+e^x-x}\right)}{160 x-30 x^3-5 x^4+e^x \left(80 x+40 x^2+5 x^3\right)} \, dx","Integrate[(-1536 - 400*x + 96*x^2 + 25*x^3 + E^x*(-768 - 8*x + 146*x^2 + 25*x^3) + (-8*x - 4*E^x*x + 4*x^2)*Log[(4*x^2)/(2 + E^x - x)])/(160*x - 30*x^3 - 5*x^4 + E^x*(80*x + 40*x^2 + 5*x^3)),x]","\frac{1}{5} \left(\frac{4 \log \left(\frac{4 x^2}{-x+e^x+2}\right)}{x+4}+25 \log \left(-x+e^x+2\right)-50 \log (x)\right)","\left(\frac{4}{5 (x+4)}-5\right) \log \left(\frac{4 x^2}{-x+e^x+2}\right)",1,"(25*Log[2 + E^x - x] - 50*Log[x] + (4*Log[(4*x^2)/(2 + E^x - x)])/(4 + x))/5","A",1
7666,1,20,21,0.4385397,"\int e^{-e^{1+x^2}+e (5+2 x)} \left(7+2 x+e \left(14 x+2 x^2\right)+e^{1+x^2} \left(-14 x^2-2 x^3\right)\right) \, dx","Integrate[E^(-E^(1 + x^2) + E*(5 + 2*x))*(7 + 2*x + E*(14*x + 2*x^2) + E^(1 + x^2)*(-14*x^2 - 2*x^3)),x]","e^{-e \left(e^{x^2}-2 x-5\right)} x (x+7)","e^{e \left(-e^{x^2}+2 x+5\right)} x (x+7)",1,"(x*(7 + x))/E^(E*(-5 + E^x^2 - 2*x))","A",1
7667,1,21,21,0.2348915,"\int \frac{e^{39-e^3-x} (1+x)+\left(e^{39-e^3-x}+x\right) \log \left(\frac{x}{e^{39-e^3-x}+x}\right)}{e^{39-e^3-x}+x} \, dx","Integrate[(E^(39 - E^3 - x)*(1 + x) + (E^(39 - E^3 - x) + x)*Log[x/(E^(39 - E^3 - x) + x)])/(E^(39 - E^3 - x) + x),x]","x \log \left(\frac{x}{x+e^{-x-e^3+39}}\right)","x \log \left(\frac{x}{x+e^{-x-e^3+39}}\right)",1,"x*Log[x/(E^(39 - E^3 - x) + x)]","A",1
7668,1,16,24,0.3245236,"\int \frac{1}{5} e^{\frac{1}{5} (5-7 x)} x^{e^{\frac{1}{5} (5-7 x)} \left(x+x^2\right)} \left(5+5 x+\left(5+3 x-7 x^2\right) \log (x)\right) \, dx","Integrate[(E^((5 - 7*x)/5)*x^(E^((5 - 7*x)/5)*(x + x^2))*(5 + 5*x + (5 + 3*x - 7*x^2)*Log[x]))/5,x]","x^{e^{1-\frac{7 x}{5}} x (x+1)}","x^{e^{\frac{1}{5} (5-2 x)-x} x (x+1)}+5",1,"x^(E^(1 - (7*x)/5)*x*(1 + x))","A",1
7669,1,35,32,0.0611517,"\int \frac{-16 e^{3 x}+625 x-375 x^2-1000 x^3+640 x^4+384 x^5-256 x^6+e^{2 x} \left(80+124 x-162 x^2+8 x^3\right)+e^x \left(-100-560 x+547 x^2+437 x^3-392 x^4+16 x^5\right)}{8 e^{3 x} x^9-1000 x^{12}+2400 x^{13}-1920 x^{14}+512 x^{15}+e^{2 x} \left(-120 x^{10}+96 x^{11}\right)+e^x \left(600 x^{11}-960 x^{12}+384 x^{13}\right)} \, dx","Integrate[(-16*E^(3*x) + 625*x - 375*x^2 - 1000*x^3 + 640*x^4 + 384*x^5 - 256*x^6 + E^(2*x)*(80 + 124*x - 162*x^2 + 8*x^3) + E^x*(-100 - 560*x + 547*x^2 + 437*x^3 - 392*x^4 + 16*x^5))/(8*E^(3*x)*x^9 - 1000*x^12 + 2400*x^13 - 1920*x^14 + 512*x^15 + E^(2*x)*(-120*x^10 + 96*x^11) + E^x*(600*x^11 - 960*x^12 + 384*x^13)),x]","\frac{\left(-4 x^2+x-2 e^x+5\right)^2}{16 x^8 \left(x (4 x-5)+e^x\right)^2}","\frac{\left(2-\frac{x-1}{x-\frac{e^x}{5-4 x}}\right)^2}{16 x^8}",1,"(5 - 2*E^x + x - 4*x^2)^2/(16*x^8*(E^x + x*(-5 + 4*x))^2)","A",1
7670,1,20,20,0.02077,"\int \frac{1}{5} \left(-e^{\frac{60-x}{15}}+e^{-4+x} (-15-15 x)\right) \, dx","Integrate[(-E^((60 - x)/15) + E^(-4 + x)*(-15 - 15*x))/5,x]","3 e^{4-\frac{x}{15}}-3 e^{x-4} x","3 \left(e^{4-\frac{x}{15}}-e^{x-4} x\right)",1,"3*E^(4 - x/15) - 3*E^(-4 + x)*x","A",1
7671,1,27,27,0.5660391,"\int \frac{-3 x^3-x^4+e^x \left(-2 x+x^2\right)+e^{x^2} \left(e^2 \left(-12 x^2-4 x^3\right)+e^{2+x} \left(-8+8 x^3\right)\right)}{4 e^{2+x+x^2} x^2+e^x x^3} \, dx","Integrate[(-3*x^3 - x^4 + E^x*(-2*x + x^2) + E^x^2*(E^2*(-12*x^2 - 4*x^3) + E^(2 + x)*(-8 + 8*x^3)))/(4*E^(2 + x + x^2)*x^2 + E^x*x^3),x]","\log \left(4 e^{x^2+2}+x\right)+e^{-x} (x+4)+\frac{2}{x}","\log \left(4 e^{x^2+2}+x\right)+e^{-x} (x+4)+\frac{2}{x}",1,"2/x + (4 + x)/E^x + Log[4*E^(2 + x^2) + x]","A",1
7672,1,18,18,0.058058,"\int \frac{-4 x^5+48 x^5 \log ^2(4)+12 x^5 \log (x)}{320 \log ^6(4)+240 \log ^4(4) \log (x)+60 \log ^2(4) \log ^2(x)+5 \log ^3(x)} \, dx","Integrate[(-4*x^5 + 48*x^5*Log[4]^2 + 12*x^5*Log[x])/(320*Log[4]^6 + 240*Log[4]^4*Log[x] + 60*Log[4]^2*Log[x]^2 + 5*Log[x]^3),x]","\frac{2 x^6}{5 \left(\log (x)+4 \log ^2(4)\right)^2}","\frac{2 x^6}{5 \left(\log (x)+4 \log ^2(4)\right)^2}",1,"(2*x^6)/(5*(4*Log[4]^2 + Log[x])^2)","A",1
7673,1,28,30,0.2799203,"\int \frac{-x^2 \log (x)+e^{\frac{4+6 e^{25-5 e^x} x^2}{x}} \left(x+\left(-4 \log (x)+e^{25-5 e^x} \left(6 x^2-30 e^x x^3\right) \log (x)\right) \log (\log (x))\right)}{x^2 \log (x)} \, dx","Integrate[(-(x^2*Log[x]) + E^((4 + 6*E^(25 - 5*E^x)*x^2)/x)*(x + (-4*Log[x] + E^(25 - 5*E^x)*(6*x^2 - 30*E^x*x^3)*Log[x])*Log[Log[x]]))/(x^2*Log[x]),x]","e^{6 e^{25-5 e^x} x+\frac{4}{x}} \log (\log (x))-x","e^{6 e^{5 \left(5-e^x\right)} x+\frac{4}{x}} \log (\log (x))-x",1,"-x + E^(4/x + 6*E^(25 - 5*E^x)*x)*Log[Log[x]]","A",1
7674,1,7,13,0.0026956,"\int e^{-2 x} (1-2 x) \, dx","Integrate[(1 - 2*x)/E^(2*x),x]","e^{-2 x} x","e^{-2 x} x+6+\log \left(\frac{5}{3}\right)",1,"x/E^(2*x)","A",1
7675,1,23,25,1.3830807,"\int \frac{e^{-4 x} \left(-5120+37888 x-102400 x^2+114688 x^3-32768 x^4-16384 x^5-4 e^{4 x} x^{16}+e^x x^2 \left(-4096 x^2+22272 x^3-38400 x^4+17408 x^5+6144 x^6\right)+e^{2 x} x^4 \left(-1152 x^4+4032 x^5-3072 x^6-768 x^7\right)+e^{3 x} x^6 \left(-128 x^6+208 x^7+32 x^8\right)\right)}{x^{21}} \, dx","Integrate[(-5120 + 37888*x - 102400*x^2 + 114688*x^3 - 32768*x^4 - 16384*x^5 - 4*E^(4*x)*x^16 + E^x*x^2*(-4096*x^2 + 22272*x^3 - 38400*x^4 + 17408*x^5 + 6144*x^6) + E^(2*x)*x^4*(-1152*x^4 + 4032*x^5 - 3072*x^6 - 768*x^7) + E^(3*x)*x^6*(-128*x^6 + 208*x^7 + 32*x^8))/(E^(4*x)*x^21),x]","\frac{e^{-4 x} \left(e^x x^4-8 x+4\right)^4}{x^{20}}","\frac{\left(\frac{2 e^{-x} \left(\frac{2}{x}-4\right)}{x^2}+x\right)^4}{x^8}",1,"(4 - 8*x + E^x*x^4)^4/(E^(4*x)*x^20)","A",1
7676,1,20,23,4.2022352,"\int \frac{-4 x^4+16 x^5+16 e^4 x^5+16 x^6+\left(4 x^3+4 e^4 x^3+4 x^4\right) \log \left(1+e^4+x\right)}{1024 x^5-4096 x^6+5120 x^7-5120 x^9+4096 x^{10}-1024 x^{11}+e^4 \left(1024 x^5-5120 x^6+10240 x^7-10240 x^8+5120 x^9-1024 x^{10}\right)+\left(1280 x^4-3840 x^5+2560 x^6+2560 x^7-3840 x^8+1280 x^9+e^4 \left(1280 x^4-5120 x^5+7680 x^6-5120 x^7+1280 x^8\right)\right) \log \left(1+e^4+x\right)+\left(640 x^3-1280 x^4+1280 x^6-640 x^7+e^4 \left(640 x^3-1920 x^4+1920 x^5-640 x^6\right)\right) \log ^2\left(1+e^4+x\right)+\left(160 x^2-160 x^3-160 x^4+160 x^5+e^4 \left(160 x^2-320 x^3+160 x^4\right)\right) \log ^3\left(1+e^4+x\right)+\left(20 x-20 x^3+e^4 \left(20 x-20 x^2\right)\right) \log ^4\left(1+e^4+x\right)+\left(1+e^4+x\right) \log ^5\left(1+e^4+x\right)} \, dx","Integrate[(-4*x^4 + 16*x^5 + 16*E^4*x^5 + 16*x^6 + (4*x^3 + 4*E^4*x^3 + 4*x^4)*Log[1 + E^4 + x])/(1024*x^5 - 4096*x^6 + 5120*x^7 - 5120*x^9 + 4096*x^10 - 1024*x^11 + E^4*(1024*x^5 - 5120*x^6 + 10240*x^7 - 10240*x^8 + 5120*x^9 - 1024*x^10) + (1280*x^4 - 3840*x^5 + 2560*x^6 + 2560*x^7 - 3840*x^8 + 1280*x^9 + E^4*(1280*x^4 - 5120*x^5 + 7680*x^6 - 5120*x^7 + 1280*x^8))*Log[1 + E^4 + x] + (640*x^3 - 1280*x^4 + 1280*x^6 - 640*x^7 + E^4*(640*x^3 - 1920*x^4 + 1920*x^5 - 640*x^6))*Log[1 + E^4 + x]^2 + (160*x^2 - 160*x^3 - 160*x^4 + 160*x^5 + E^4*(160*x^2 - 320*x^3 + 160*x^4))*Log[1 + E^4 + x]^3 + (20*x - 20*x^3 + E^4*(20*x - 20*x^2))*Log[1 + E^4 + x]^4 + (1 + E^4 + x)*Log[1 + E^4 + x]^5),x]","\frac{x^4}{\left(\log \left(x+e^4+1\right)-4 (x-1) x\right)^4}","\frac{x^4}{\left(4 \left(x-x^2\right)+\log \left(x+e^4+1\right)\right)^4}",1,"x^4/(-4*(-1 + x)*x + Log[1 + E^4 + x])^4","A",1
7677,1,21,25,0.0686275,"\int e^{1-\log ^2(-4 x) \log (x)} \left(2 x-4 e^4 x+2 e^8 x+\left(-x+2 e^4 x-e^8 x\right) \log ^2(-4 x)+\left(-2 x+4 e^4 x-2 e^8 x\right) \log (-4 x) \log (x)\right) \, dx","Integrate[E^(1 - Log[-4*x]^2*Log[x])*(2*x - 4*E^4*x + 2*E^8*x + (-x + 2*E^4*x - E^8*x)*Log[-4*x]^2 + (-2*x + 4*E^4*x - 2*E^8*x)*Log[-4*x]*Log[x]),x]","e \left(e^4-1\right)^2 x^{2-\log ^2(-4 x)}","\left(x-e^4 x\right)^2 e^{1-\log ^2(-4 x) \log (x)}",1,"E*(-1 + E^4)^2*x^(2 - Log[-4*x]^2)","A",1
7678,1,27,26,0.0187136,"\int \frac{1}{3} \left(1+2 x+e^{5+x} (1+x)-\log \left(\frac{x}{4}\right)\right) \, dx","Integrate[(1 + 2*x + E^(5 + x)*(1 + x) - Log[x/4])/3,x]","\frac{1}{3} \left(x^2+e^{x+5} x+2 x-x \log (x)+x \log (4)\right)","\frac{1}{3} \left(x \left(x+e^{x+5}-\log \left(\frac{x}{4}\right)+2\right)-1\right)+2",1,"(2*x + E^(5 + x)*x + x^2 + x*Log[4] - x*Log[x])/3","A",1
7679,0,0,26,3.2357694,"\int \frac{-9+e^{e^x} \left(-3-3 e^x x-6 \log (5)\right)+e^{2 e^x} \left(-\log (5)-\log ^2(5)\right)}{-90+45 x+e^{e^x} (15 x+(-60+30 x) \log (5))+e^{2 e^x} \left(5 x \log (5)+(-10+5 x) \log ^2(5)\right)} \, dx","Integrate[(-9 + E^E^x*(-3 - 3*E^x*x - 6*Log[5]) + E^(2*E^x)*(-Log[5] - Log[5]^2))/(-90 + 45*x + E^E^x*(15*x + (-60 + 30*x)*Log[5]) + E^(2*E^x)*(5*x*Log[5] + (-10 + 5*x)*Log[5]^2)),x]","\int \frac{-9+e^{e^x} \left(-3-3 e^x x-6 \log (5)\right)+e^{2 e^x} \left(-\log (5)-\log ^2(5)\right)}{-90+45 x+e^{e^x} (15 x+(-60+30 x) \log (5))+e^{2 e^x} \left(5 x \log (5)+(-10+5 x) \log ^2(5)\right)} \, dx","2-\frac{1}{5} \log \left(x+\frac{x}{3 e^{-e^x}+\log (5)}-2\right)",1,"Integrate[(-9 + E^E^x*(-3 - 3*E^x*x - 6*Log[5]) + E^(2*E^x)*(-Log[5] - Log[5]^2))/(-90 + 45*x + E^E^x*(15*x + (-60 + 30*x)*Log[5]) + E^(2*E^x)*(5*x*Log[5] + (-10 + 5*x)*Log[5]^2)), x]","F",-1
7680,1,11,20,0.0000805,"\int \frac{3-12 \log (2)}{\log (2)} \, dx","Integrate[(3 - 12*Log[2])/Log[2],x]","\frac{3 x}{\log (2)}-12 x","2 (7 (5-x)+x)+\frac{3 x}{\log (2)}+5",1,"-12*x + (3*x)/Log[2]","A",1
7681,1,29,30,0.1581452,"\int \frac{-8 e^{e^5}+8 x+24 x^2+\sqrt[4]{x^2} \left(2 e^{e^5}-2 x-6 x^2\right)+\left(8 e^{e^5}+8 x+8 x^2+\sqrt[4]{x^2} \left(-3 e^{e^5}-3 x-3 x^2\right)\right) \log \left(\frac{x}{e^{2 e^5}+x^2+2 x^3+x^4+e^{e^5} \left(2 x+2 x^2\right)}\right)}{\left(2 e^{e^5}+2 x+2 x^2\right) \log ^2\left(\frac{x}{e^{2 e^5}+x^2+2 x^3+x^4+e^{e^5} \left(2 x+2 x^2\right)}\right)} \, dx","Integrate[(-8*E^E^5 + 8*x + 24*x^2 + (x^2)^(1/4)*(2*E^E^5 - 2*x - 6*x^2) + (8*E^E^5 + 8*x + 8*x^2 + (x^2)^(1/4)*(-3*E^E^5 - 3*x - 3*x^2))*Log[x/(E^(2*E^5) + x^2 + 2*x^3 + x^4 + E^E^5*(2*x + 2*x^2))])/((2*E^E^5 + 2*x + 2*x^2)*Log[x/(E^(2*E^5) + x^2 + 2*x^3 + x^4 + E^E^5*(2*x + 2*x^2))]^2),x]","-\frac{x \left(\sqrt[4]{x^2}-4\right)}{\log \left(\frac{x}{\left(x^2+x+e^{e^5}\right)^2}\right)}","\frac{x \left(4-\sqrt[4]{x^2}\right)}{\log \left(\frac{x}{\left(x^2+x+e^{e^5}\right)^2}\right)}",1,"-((x*(-4 + (x^2)^(1/4)))/Log[x/(E^E^5 + x + x^2)^2])","A",1
7682,1,38,32,0.020433,"\int \frac{2500-10000 x+6250 x^2-1250 x^3+e \left(-200+200 x-50 x^2\right)+e^2 \left(-4+4 x-x^2\right)}{7500-7500 x+1875 x^2} \, dx","Integrate[(2500 - 10000*x + 6250*x^2 - 1250*x^3 + E*(-200 + 200*x - 50*x^2) + E^2*(-4 + 4*x - x^2))/(7500 - 7500*x + 1875*x^2),x]","-\frac{1}{3} (x-2)^2-\frac{e^2 x}{1875}-\frac{2 e x}{75}-\frac{2 x}{3}+\frac{4}{3 (x-2)}","x-\frac{1}{3} x \left(x+\frac{2}{2-x}+\frac{2}{x}+\left(1+\frac{e}{25}\right)^2\right)",1,"4/(3*(-2 + x)) - (-2 + x)^2/3 - (2*x)/3 - (2*E*x)/75 - (E^2*x)/1875","A",1
7683,1,18,23,0.2222366,"\int \frac{e^{-x} \left(-1+(1-x) \log \left(-\frac{x}{2}\right)-\log ^2\left(-\frac{x}{2}\right)\right)}{\log ^2\left(-\frac{x}{2}\right)} \, dx","Integrate[(-1 + (1 - x)*Log[-1/2*x] - Log[-1/2*x]^2)/(E^x*Log[-1/2*x]^2),x]","e^{-x} \left(\frac{x}{\log \left(-\frac{x}{2}\right)}+1\right)","\frac{e^{-x} \left(\frac{x^2}{\log \left(-\frac{x}{2}\right)}+x\right)}{x}",1,"(1 + x/Log[-1/2*x])/E^x","A",1
7684,1,17,17,0.097186,"\int \frac{4 e^2-4 x^2-4 \log (x)}{1+e^4-2 x^2+x^4+e^2 \left(-2+2 x^2\right)+\left(2-2 e^2-2 x^2\right) \log (x)+\log ^2(x)} \, dx","Integrate[(4*E^2 - 4*x^2 - 4*Log[x])/(1 + E^4 - 2*x^2 + x^4 + E^2*(-2 + 2*x^2) + (2 - 2*E^2 - 2*x^2)*Log[x] + Log[x]^2),x]","\frac{4 x}{x^2-\log (x)+e^2-1}","\frac{4 x}{x^2-\log (x)+e^2-1}",1,"(4*x)/(-1 + E^2 + x^2 - Log[x])","A",1
7685,1,21,26,0.0426034,"\int \frac{e^x (15-5 x)+\left(2+e^x (-2-x)+x\right) \log \left(-1+e^x\right)}{\left(3+e^x (-3+x)-x\right) \log \left(-1+e^x\right)} \, dx","Integrate[(E^x*(15 - 5*x) + (2 + E^x*(-2 - x) + x)*Log[-1 + E^x])/((3 + E^x*(-3 + x) - x)*Log[-1 + E^x]),x]","-x-5 \log (3-x)-5 \log \left(\log \left(e^x-1\right)\right)","5 \left(e^3-\log \left(4 (3-x) \log \left(e^x-1\right)\right)\right)-x",1,"-x - 5*Log[3 - x] - 5*Log[Log[-1 + E^x]]","A",1
7686,1,32,33,0.0085582,"\int \frac{1}{3} \left(3+e^3-e^{1+x}-2 e x+e^3 \log \left(\frac{x}{4}\right)\right) \, dx","Integrate[(3 + E^3 - E^(1 + x) - 2*E*x + E^3*Log[x/4])/3,x]","\frac{1}{3} \left(-e x^2+3 x-e^{x+1}+e^3 x \log \left(\frac{x}{4}\right)\right)","\frac{1}{3} e \left(-x^2-e^x+e^2 \left(x \log \left(\frac{x}{4}\right)+5\right)+2\right)+x",1,"(-E^(1 + x) + 3*x - E*x^2 + E^3*x*Log[x/4])/3","A",1
7687,1,12,13,0.0029239,"\int \frac{2-4 x-4 x \log (2 x)}{x} \, dx","Integrate[(2 - 4*x - 4*x*Log[2*x])/x,x]","2 \log (x)-4 x \log (2 x)","-\frac{2}{3} (6 x-3) \log (2 x)",1,"2*Log[x] - 4*x*Log[2*x]","A",1
7688,1,87,25,0.7713326,"\int \frac{e^{-2 x} \left(-18 e^x x^2+e^{2 x} \left(-36 x-18 x^2-114 x^3\right)+\left(-18 x^3+e^x \left(-36 x-36 x^2+96 x^3-114 x^4\right)+e^{2 x} \left(-72-36 x+114 x^3+722 x^4\right)\right) \log (x)+\left(18 e^{2 x} x^2+\left(18 e^x x^3+e^{2 x} \left(36 x-114 x^3\right)\right) \log (x)\right) \log (\log (x))\right)}{9 x^3 \log (x)} \, dx","Integrate[(-18*E^x*x^2 + E^(2*x)*(-36*x - 18*x^2 - 114*x^3) + (-18*x^3 + E^x*(-36*x - 36*x^2 + 96*x^3 - 114*x^4) + E^(2*x)*(-72 - 36*x + 114*x^3 + 722*x^4))*Log[x] + (18*E^(2*x)*x^2 + (18*E^x*x^3 + E^(2*x)*(36*x - 114*x^3))*Log[x])*Log[Log[x]])/(9*E^(2*x)*x^3*Log[x]),x]","\frac{2}{9} \left(\frac{361 x^2}{2}+\frac{18}{x^2}-\frac{3 \left(19 x^2+3 e^{-x} x+6\right) \log (\log (x))}{x}+57 x+\frac{9 e^{-2 x}}{2}+e^{-x} \left(57 x+\frac{18}{x}+9\right)+\frac{18}{x}+\frac{9}{2} \log ^2(\log (x))-9 \log (\log (x))\right)","\left(\frac{19 x}{3}+e^{-x}+\frac{x+2}{x}-\log (\log (x))\right)^2",1,"(2*(9/(2*E^(2*x)) + 18/x^2 + 18/x + 57*x + (361*x^2)/2 + (9 + 18/x + 57*x)/E^x - 9*Log[Log[x]] - (3*(6 + (3*x)/E^x + 19*x^2)*Log[Log[x]])/x + (9*Log[Log[x]]^2)/2))/9","B",1
7689,1,5,16,0.0000975,"\int -2 x \, dx","Integrate[-2*x,x]","-x^2","-x^2-i \pi +2-\log (15)",1,"-x^2","A",1
7690,1,42,26,0.0083074,"\int \frac{-60+140 \log \left(\frac{\log (5)}{3}\right)+85 \log ^2\left(\frac{\log (5)}{3}\right)}{36-240 x+400 x^2+(-204+680 x) \log \left(\frac{\log (5)}{3}\right)+289 \log ^2\left(\frac{\log (5)}{3}\right)} \, dx","Integrate[(-60 + 140*Log[Log[5]/3] + 85*Log[Log[5]/3]^2)/(36 - 240*x + 400*x^2 + (-204 + 680*x)*Log[Log[5]/3] + 289*Log[Log[5]/3]^2),x]","-\frac{-12+17 \log ^2\left(\frac{\log (5)}{3}\right)+28 \log \left(\frac{\log (5)}{3}\right)}{4 \left(20 x-6+17 \log \left(\frac{\log (5)}{3}\right)\right)}","\frac{x}{\frac{4 (x-2)}{2+\log \left(\frac{\log (5)}{3}\right)}+\frac{17}{5}}-1",1,"-1/4*(-12 + 28*Log[Log[5]/3] + 17*Log[Log[5]/3]^2)/(-6 + 20*x + 17*Log[Log[5]/3])","A",1
7691,0,0,20,1.5929879,"\int \frac{3 x+3 \log (3)+e^x (x+\log (3))+\left(-6 x-3 \log (3)+e^x \left(-2 x+x^2+(-1+x) \log (3)\right)\right) \log (x)}{-10 x^4-20 x^3 \log (3)-10 x^2 \log ^2(3)+\left(3 x^2+3 x \log (3)+e^x \left(x^2+x \log (3)\right)\right) \log (x)} \, dx","Integrate[(3*x + 3*Log[3] + E^x*(x + Log[3]) + (-6*x - 3*Log[3] + E^x*(-2*x + x^2 + (-1 + x)*Log[3]))*Log[x])/(-10*x^4 - 20*x^3*Log[3] - 10*x^2*Log[3]^2 + (3*x^2 + 3*x*Log[3] + E^x*(x^2 + x*Log[3]))*Log[x]),x]","\int \frac{3 x+3 \log (3)+e^x (x+\log (3))+\left(-6 x-3 \log (3)+e^x \left(-2 x+x^2+(-1+x) \log (3)\right)\right) \log (x)}{-10 x^4-20 x^3 \log (3)-10 x^2 \log ^2(3)+\left(3 x^2+3 x \log (3)+e^x \left(x^2+x \log (3)\right)\right) \log (x)} \, dx","\log \left(\frac{\left(e^x+3\right) \log (x)}{x (x+\log (3))}-10\right)",1,"Integrate[(3*x + 3*Log[3] + E^x*(x + Log[3]) + (-6*x - 3*Log[3] + E^x*(-2*x + x^2 + (-1 + x)*Log[3]))*Log[x])/(-10*x^4 - 20*x^3*Log[3] - 10*x^2*Log[3]^2 + (3*x^2 + 3*x*Log[3] + E^x*(x^2 + x*Log[3]))*Log[x]), x]","F",-1
7692,1,20,16,0.0115133,"\int \left(-902+e^{5 x} (-1-5 x)+2 x-\log (x)\right) \, dx","Integrate[-902 + E^(5*x)*(-1 - 5*x) + 2*x - Log[x],x]","x^2-e^{5 x} x-901 x-x \log (x)","x \left(x-e^{5 x}-\log (x)-901\right)",1,"-901*x - E^(5*x)*x + x^2 - x*Log[x]","A",1
7693,1,44,25,0.0955195,"\int \frac{5184+432 x-1740 x^2+518 x^3-62 x^4+3 x^5+\left(3456+864 x-1010 x^2+194 x^3-12 x^4\right) \log (4+3 x)+\left(864+360 x-192 x^2+18 x^3\right) \log ^2(4+3 x)+\left(96+56 x-12 x^2\right) \log ^3(4+3 x)+(4+3 x) \log ^4(4+3 x)}{5184+720 x-1604 x^2+491 x^3-62 x^4+3 x^5+\left(3456+960 x-952 x^2+188 x^3-12 x^4\right) \log (4+3 x)+\left(864+368 x-186 x^2+18 x^3\right) \log ^2(4+3 x)+\left(96+56 x-12 x^2\right) \log ^3(4+3 x)+(4+3 x) \log ^4(4+3 x)} \, dx","Integrate[(5184 + 432*x - 1740*x^2 + 518*x^3 - 62*x^4 + 3*x^5 + (3456 + 864*x - 1010*x^2 + 194*x^3 - 12*x^4)*Log[4 + 3*x] + (864 + 360*x - 192*x^2 + 18*x^3)*Log[4 + 3*x]^2 + (96 + 56*x - 12*x^2)*Log[4 + 3*x]^3 + (4 + 3*x)*Log[4 + 3*x]^4)/(5184 + 720*x - 1604*x^2 + 491*x^3 - 62*x^4 + 3*x^5 + (3456 + 960*x - 952*x^2 + 188*x^3 - 12*x^4)*Log[4 + 3*x] + (864 + 368*x - 186*x^2 + 18*x^3)*Log[4 + 3*x]^2 + (96 + 56*x - 12*x^2)*Log[4 + 3*x]^3 + (4 + 3*x)*Log[4 + 3*x]^4),x]","\frac{x (-x+\log (3 x+4)+6)^2}{x^2-11 x+\log ^2(3 x+4)-2 (x-6) \log (3 x+4)+36}","\frac{x^2}{\frac{x^2}{(x-\log (3 x+4)-6)^2}+x}",1,"(x*(6 - x + Log[4 + 3*x])^2)/(36 - 11*x + x^2 - 2*(-6 + x)*Log[4 + 3*x] + Log[4 + 3*x]^2)","A",1
7694,1,36,19,0.0052358,"\int \frac{243 x^2+108 x^3-270 x^4-252 x^5-77 x^6-8 x^7}{e^{64/3}} \, dx","Integrate[(243*x^2 + 108*x^3 - 270*x^4 - 252*x^5 - 77*x^6 - 8*x^7)/E^(64/3),x]","-\frac{x^8+11 x^7+42 x^6+54 x^5-27 x^4-81 x^3}{e^{64/3}}","\frac{(1-x) x^3 (x+3)^4}{e^{64/3}}",1,"-((-81*x^3 - 27*x^4 + 54*x^5 + 42*x^6 + 11*x^7 + x^8)/E^(64/3))","A",1
7695,1,17,23,0.1220612,"\int \frac{-12 x+4 x^3+4 x^5+\left(-24 x-8 x^5\right) \log (x)}{9-6 x^2-5 x^4+2 x^6+x^8} \, dx","Integrate[(-12*x + 4*x^3 + 4*x^5 + (-24*x - 8*x^5)*Log[x])/(9 - 6*x^2 - 5*x^4 + 2*x^6 + x^8),x]","\frac{4 x^2 \log (x)}{x^4+x^2-3}","4-\frac{4 x^2 \log (x)}{-x^4-x^2+3}",1,"(4*x^2*Log[x])/(-3 + x^2 + x^4)","A",1
7696,1,16,23,0.0129918,"\int \frac{1}{3} e^{-x} \left(-3+3 e^x+3 x+(2-2 x) \log (3)\right) \, dx","Integrate[(-3 + 3*E^x + 3*x + (2 - 2*x)*Log[3])/(3*E^x),x]","x+\frac{1}{3} e^{-x} x (\log (9)-3)","-e^{-x} x+x+\frac{2}{3} e^{-x} x \log (3)+5",1,"x + (x*(-3 + Log[9]))/(3*E^x)","A",1
7697,1,29,21,0.1387442,"\int \frac{\left(\frac{6+11 x+5 x^2+e^x \left(8 x+5 x^2\right)}{2+x}\right)^x \left(16 x+20 x^2+5 x^3+e^x \left(16 x+36 x^2+23 x^3+5 x^4\right)+\left(12+28 x+21 x^2+5 x^3+e^x \left(16 x+18 x^2+5 x^3\right)\right) \log \left(\frac{6+11 x+5 x^2+e^x \left(8 x+5 x^2\right)}{2+x}\right)\right)}{12+28 x+21 x^2+5 x^3+e^x \left(16 x+18 x^2+5 x^3\right)} \, dx","Integrate[(((6 + 11*x + 5*x^2 + E^x*(8*x + 5*x^2))/(2 + x))^x*(16*x + 20*x^2 + 5*x^3 + E^x*(16*x + 36*x^2 + 23*x^3 + 5*x^4) + (12 + 28*x + 21*x^2 + 5*x^3 + E^x*(16*x + 18*x^2 + 5*x^3))*Log[(6 + 11*x + 5*x^2 + E^x*(8*x + 5*x^2))/(2 + x)]))/(12 + 28*x + 21*x^2 + 5*x^3 + E^x*(16*x + 18*x^2 + 5*x^3)),x]","\left(\frac{5 \left(e^x+1\right) x^2+\left(8 e^x+11\right) x+6}{x+2}\right)^x","\left(\left(e^x x+x\right) \left(\frac{x}{x+2}+4\right)+3\right)^x",1,"((6 + (11 + 8*E^x)*x + 5*(1 + E^x)*x^2)/(2 + x))^x","A",1
7698,1,30,32,0.2145021,"\int \frac{e^x x+\left(1-2 x+e^x \left(-4 x-x^2\right)\right) \log (x)+\left(1+e^x (3+x)\right) \log ^2(x)+\left(e^x \left(1-2 x-x^2\right) \log (x)+e^x (1+x) \log ^2(x)\right) \log \left(\frac{x^2}{5 \log (x)}\right)}{\log (x)} \, dx","Integrate[(E^x*x + (1 - 2*x + E^x*(-4*x - x^2))*Log[x] + (1 + E^x*(3 + x))*Log[x]^2 + (E^x*(1 - 2*x - x^2)*Log[x] + E^x*(1 + x)*Log[x]^2)*Log[x^2/(5*Log[x])])/Log[x],x]","-x (x-\log (x)) \left(e^x \log \left(\frac{x^2}{5 \log (x)}\right)+e^x+1\right)","x (x-\log (x)) \left(-e^x \log \left(\frac{x^2}{5 \log (x)}\right)-e^x-1\right)",1,"-(x*(x - Log[x])*(1 + E^x + E^x*Log[x^2/(5*Log[x])]))","A",1
7699,1,32,34,0.1041812,"\int \frac{-4+256 x^3-160 x^4+24 x^5+e^{x^2} \left(1+8 x-64 x^3+40 x^4-38 x^5+16 x^6-2 x^7\right)+\left(8-256 x^3+160 x^4-24 x^5+e^{x^2} \left(-2+64 x^3-40 x^4+6 x^5\right)\right) \log \left(4-e^{x^2}\right)+\left(-4+e^{x^2}\right) \log ^2\left(4-e^{x^2}\right)}{-4+e^{x^2}+\left(8-2 e^{x^2}\right) \log \left(4-e^{x^2}\right)+\left(-4+e^{x^2}\right) \log ^2\left(4-e^{x^2}\right)} \, dx","Integrate[(-4 + 256*x^3 - 160*x^4 + 24*x^5 + E^x^2*(1 + 8*x - 64*x^3 + 40*x^4 - 38*x^5 + 16*x^6 - 2*x^7) + (8 - 256*x^3 + 160*x^4 - 24*x^5 + E^x^2*(-2 + 64*x^3 - 40*x^4 + 6*x^5))*Log[4 - E^x^2] + (-4 + E^x^2)*Log[4 - E^x^2]^2)/(-4 + E^x^2 + (8 - 2*E^x^2)*Log[4 - E^x^2] + (-4 + E^x^2)*Log[4 - E^x^2]^2),x]","\frac{x^6-8 x^5+16 x^4-4}{\log \left(4-e^{x^2}\right)-1}+x","-\frac{(4-x)^2 x^4-4}{1-\log \left(4-e^{x^2}\right)}+x-4",1,"x + (-4 + 16*x^4 - 8*x^5 + x^6)/(-1 + Log[4 - E^x^2])","A",1
7700,1,13,13,0.0010273,"\int \frac{1}{5} \left(10-12 x^2 \log (5)\right) \, dx","Integrate[(10 - 12*x^2*Log[5])/5,x]","2 x-\frac{4}{5} x^3 \log (5)","x \left(2-\frac{4}{5} x^2 \log (5)\right)",1,"2*x - (4*x^3*Log[5])/5","A",1
7701,1,32,23,0.4797499,"\int \frac{-e^9-2100 x-275 x^2+\left(-12250 x-1500 x^2\right) \log (x)+\left(-8750 x-625 x^2\right) \log ^2(x)}{e^{18}-50 e^9 x^2+625 x^4+\left(-500 e^9 x^2+12500 x^4\right) \log (x)+\left(-1250 e^9 x^2+93750 x^4\right) \log ^2(x)+312500 x^4 \log ^3(x)+390625 x^4 \log ^4(x)} \, dx","Integrate[(-E^9 - 2100*x - 275*x^2 + (-12250*x - 1500*x^2)*Log[x] + (-8750*x - 625*x^2)*Log[x]^2)/(E^18 - 50*E^9*x^2 + 625*x^4 + (-500*E^9*x^2 + 12500*x^4)*Log[x] + (-1250*E^9*x^2 + 93750*x^4)*Log[x]^2 + 312500*x^4*Log[x]^3 + 390625*x^4*Log[x]^4),x]","-\frac{x+7}{-25 x^2-625 x^2 \log ^2(x)-250 x^2 \log (x)+e^9}","\frac{x+7}{25 (x+5 x \log (x))^2-e^9}",1,"-((7 + x)/(E^9 - 25*x^2 - 250*x^2*Log[x] - 625*x^2*Log[x]^2))","A",1
7702,1,30,28,0.1319155,"\int \frac{e^3+e^{-2 x-15 x^2-2 x^3+x^4} \left(-4 x^2-60 x^3-12 x^4+8 x^5\right)}{2 x^2} \, dx","Integrate[(E^3 + E^(-2*x - 15*x^2 - 2*x^3 + x^4)*(-4*x^2 - 60*x^3 - 12*x^4 + 8*x^5))/(2*x^2),x]","e^{x^4-2 x^3-15 x^2-2 x}-\frac{e^3}{2 x}","e^{-x ((5-x) x (x+3)+2)}-\frac{e^3}{2 x}",1,"E^(-2*x - 15*x^2 - 2*x^3 + x^4) - E^3/(2*x)","A",1
7703,1,18,18,0.1025756,"\int \frac{1}{4} e^{-8-4 x} x^3 \left(5 \log ^3(x)+(5-5 x) \log ^4(x)\right) \, dx","Integrate[(E^(-8 - 4*x)*x^3*(5*Log[x]^3 + (5 - 5*x)*Log[x]^4))/4,x]","\frac{5}{16} e^{-4 x-8} x^4 \log ^4(x)","\frac{5}{16} e^{-4 x-8} x^4 \log ^4(x)",1,"(5*E^(-8 - 4*x)*x^4*Log[x]^4)/16","A",1
7704,1,35,29,0.087243,"\int \frac{80+200 x+125 x^2-48 x^3-240 x^4-225 x^5+72 x^7+135 x^8-27 x^{11}+e^3 \left(125-225 x^3+135 x^6-27 x^9\right)+\left(200 x+250 x^2+288 x^3+120 x^4-450 x^5-144 x^7+270 x^8-54 x^{11}\right) \log (3 x)}{-125 x+225 x^4-135 x^7+27 x^{10}} \, dx","Integrate[(80 + 200*x + 125*x^2 - 48*x^3 - 240*x^4 - 225*x^5 + 72*x^7 + 135*x^8 - 27*x^11 + E^3*(125 - 225*x^3 + 135*x^6 - 27*x^9) + (200*x + 250*x^2 + 288*x^3 + 120*x^4 - 450*x^5 - 144*x^7 + 270*x^8 - 54*x^11)*Log[3*x])/(-125*x + 225*x^4 - 135*x^7 + 27*x^10),x]","-\frac{\left(3 x^4-5 x-4\right)^2 \log (3 x)}{\left(3 x^3-5\right)^2}-e^3 \log (x)","1-\left(\left(\frac{4}{3 x^3-5}-x\right)^2+e^3\right) \log (3 x)",1,"-(E^3*Log[x]) - ((-4 - 5*x + 3*x^4)^2*Log[3*x])/(-5 + 3*x^3)^2","A",1
7705,1,77,35,0.3902929,"\int \frac{\exp \left(\frac{x^4-4 x^6+4 x^7+4 x^8-8 x^9+4 x^{10}+\left(2 x^4-2 x^5-4 x^6+8 x^7-4 x^8\right) \log (x)+\left(x^4-2 x^5+x^6\right) \log ^2(x)}{4 x^4-4 x^2 \log (x)+\log ^2(x)}\right) \left(-2 x^3+4 x^5-4 x^6+16 x^7-24 x^8-32 x^9+80 x^{10}-48 x^{11}+\left(2 x^3+2 x^4-24 x^5+32 x^6+48 x^7-120 x^8+72 x^9\right) \log (x)+\left(8 x^3-10 x^4-24 x^5+60 x^6-36 x^7\right) \log ^2(x)+\left(4 x^3-10 x^4+6 x^5\right) \log ^3(x)\right)}{-8 x^6+12 x^4 \log (x)-6 x^2 \log ^2(x)+\log ^3(x)} \, dx","Integrate[(E^((x^4 - 4*x^6 + 4*x^7 + 4*x^8 - 8*x^9 + 4*x^10 + (2*x^4 - 2*x^5 - 4*x^6 + 8*x^7 - 4*x^8)*Log[x] + (x^4 - 2*x^5 + x^6)*Log[x]^2)/(4*x^4 - 4*x^2*Log[x] + Log[x]^2))*(-2*x^3 + 4*x^5 - 4*x^6 + 16*x^7 - 24*x^8 - 32*x^9 + 80*x^10 - 48*x^11 + (2*x^3 + 2*x^4 - 24*x^5 + 32*x^6 + 48*x^7 - 120*x^8 + 72*x^9)*Log[x] + (8*x^3 - 10*x^4 - 24*x^5 + 60*x^6 - 36*x^7)*Log[x]^2 + (4*x^3 - 10*x^4 + 6*x^5)*Log[x]^3))/(-8*x^6 + 12*x^4*Log[x] - 6*x^2*Log[x]^2 + Log[x]^3),x]","x^{-\frac{2 x^4 \left(2 x^4-4 x^3+2 x^2+x-1\right)}{\left(\log (x)-2 x^2\right)^2}} \exp \left(\frac{x^4 \left(\left(2 x^3-2 x^2+1\right)^2+(x-1)^2 \log ^2(x)\right)}{\left(\log (x)-2 x^2\right)^2}\right)","e^{\left((2-x) x^2-x^2-\frac{x}{2 x-\frac{\log (x)}{x}}\right)^2}",1,"E^((x^4*((1 - 2*x^2 + 2*x^3)^2 + (-1 + x)^2*Log[x]^2))/(-2*x^2 + Log[x])^2)/x^((2*x^4*(-1 + x + 2*x^2 - 4*x^3 + 2*x^4))/(-2*x^2 + Log[x])^2)","B",1
7706,1,22,26,1.9136824,"\int \frac{\exp \left(\frac{1}{27} \left(-600+25 e^{\frac{2+2 x+e^x (1+x)}{x}}\right)+\frac{2+2 x+e^x (1+x)}{x}\right) \left(-50+e^x \left(-25+25 x+25 x^2\right)\right)}{27 x^2} \, dx","Integrate[(E^((-600 + 25*E^((2 + 2*x + E^x*(1 + x))/x))/27 + (2 + 2*x + E^x*(1 + x))/x)*(-50 + E^x*(-25 + 25*x + 25*x^2)))/(27*x^2),x]","e^{\frac{25}{27} \left(e^{\frac{\left(e^x+2\right) (x+1)}{x}}-24\right)}","e^{\frac{25}{9} \left(\frac{1}{3} e^{\frac{\left(e^x+2\right) (x+1)}{x}}-8\right)}",1,"E^((25*(-24 + E^(((2 + E^x)*(1 + x))/x)))/27)","A",1
7707,1,28,24,0.0870311,"\int \frac{-4+\left(4 x-4 e x-6 x^2\right) \log \left(x^2\right)+\left(-2 x+2 e x+6 x^2\right) \log ^2\left(x^2\right)+\left(2 x^2+2 e^2 x^2-9 x^3+9 x^4+e \left(-4 x^2+9 x^3\right)\right) \log ^3\left(x^2\right)}{x \log ^3\left(x^2\right)} \, dx","Integrate[(-4 + (4*x - 4*E*x - 6*x^2)*Log[x^2] + (-2*x + 2*E*x + 6*x^2)*Log[x^2]^2 + (2*x^2 + 2*E^2*x^2 - 9*x^3 + 9*x^4 + E*(-4*x^2 + 9*x^3))*Log[x^2]^3)/(x*Log[x^2]^3),x]","\frac{\left(x (3 x+2 e-2) \log \left(x^2\right)+2\right)^2}{4 \log ^2\left(x^2\right)}","x^2 \left(\frac{1}{x \log \left(x^2\right)}+\frac{3 x}{2}+e-1\right)^2",1,"(2 + x*(-2 + 2*E + 3*x)*Log[x^2])^2/(4*Log[x^2]^2)","A",1
7708,1,20,18,0.028392,"\int \frac{1}{5} e^x \left(e^{5+\frac{125+x}{5}} (5+6 x)+e^5 (10+10 x)\right) \, dx","Integrate[(E^x*(E^(5 + (125 + x)/5)*(5 + 6*x) + E^5*(10 + 10*x)))/5,x]","2 e^{x+5} x+e^{\frac{6 x}{5}+30} x","e^{x+5} \left(e^{\frac{x}{5}+25}+2\right) x",1,"2*E^(5 + x)*x + E^(30 + (6*x)/5)*x","A",1
7709,1,26,26,0.3544072,"\int \frac{108 x+198 x^2+96 x^3+e^{2 x} \left(-54 x^2-441 x^3-696 x^4-192 x^5\right)}{288+1536 x+2048 x^2+e^{2 x} \left(720 x+3840 x^2+5120 x^3\right)+e^{4 x} \left(720 x^2+3840 x^3+5120 x^4\right)+e^{6 x} \left(360 x^3+1920 x^4+2560 x^5\right)+e^{8 x} \left(90 x^4+480 x^5+640 x^6\right)+e^{10 x} \left(9 x^5+48 x^6+64 x^7\right)} \, dx","Integrate[(108*x + 198*x^2 + 96*x^3 + E^(2*x)*(-54*x^2 - 441*x^3 - 696*x^4 - 192*x^5))/(288 + 1536*x + 2048*x^2 + E^(2*x)*(720*x + 3840*x^2 + 5120*x^3) + E^(4*x)*(720*x^2 + 3840*x^3 + 5120*x^4) + E^(6*x)*(360*x^3 + 1920*x^4 + 2560*x^5) + E^(8*x)*(90*x^4 + 480*x^5 + 640*x^6) + E^(10*x)*(9*x^5 + 48*x^6 + 64*x^7)),x]","\frac{3 x^2 (x+3)}{(8 x+3) \left(e^{2 x} x+2\right)^4}","\frac{3 x (x+3)}{\left(\frac{3}{x}+8\right) \left(e^{2 x} x+2\right)^4}",1,"(3*x^2*(3 + x))/((3 + 8*x)*(2 + E^(2*x)*x)^4)","A",1
7710,1,28,19,0.3403961,"\int \frac{e^{-\frac{625+x^8 \log (x)}{2 x^7}} \left(4375+2 x^7+2 e^{\frac{625+x^8 \log (x)}{2 x^7}} x^7-x^8-x^8 \log (x)\right)}{2 x^7} \, dx","Integrate[(4375 + 2*x^7 + 2*E^((625 + x^8*Log[x])/(2*x^7))*x^7 - x^8 - x^8*Log[x])/(2*E^((625 + x^8*Log[x])/(2*x^7))*x^7),x]","\frac{1}{2} \left(2 e^{-\frac{625}{2 x^7}} x^{1-\frac{x}{2}}+2 x\right)","x \left(e^{-\frac{1}{2} x \left(\frac{625}{x^8}+\log (x)\right)}+1\right)",1,"(2*x + (2*x^(1 - x/2))/E^(625/(2*x^7)))/2","A",1
7711,1,21,22,0.0157808,"\int \left(-1+e^x-2 x-2 e^{2-x^2} x\right) \, dx","Integrate[-1 + E^x - 2*x - 2*E^(2 - x^2)*x,x]","-x^2+e^{2-x^2}-x+e^x","-x^2+e^{2-x^2}-x+e^x-2",1,"E^x + E^(2 - x^2) - x - x^2","A",1
7712,0,0,24,1.4163686,"\int \frac{\exp \left(28+x-2 x^2+(-24+6 x) \log \left(\frac{\log (x)}{5}\right)+(4-x) \log ^2\left(\frac{\log (x)}{5}\right)\right) \left(-24+6 x+\left(x-4 x^2\right) \log (x)+(8-2 x+6 x \log (x)) \log \left(\frac{\log (x)}{5}\right)-x \log (x) \log ^2\left(\frac{\log (x)}{5}\right)\right)}{x \log (x)} \, dx","Integrate[(E^(28 + x - 2*x^2 + (-24 + 6*x)*Log[Log[x]/5] + (4 - x)*Log[Log[x]/5]^2)*(-24 + 6*x + (x - 4*x^2)*Log[x] + (8 - 2*x + 6*x*Log[x])*Log[Log[x]/5] - x*Log[x]*Log[Log[x]/5]^2))/(x*Log[x]),x]","\int \frac{\exp \left(28+x-2 x^2+(-24+6 x) \log \left(\frac{\log (x)}{5}\right)+(4-x) \log ^2\left(\frac{\log (x)}{5}\right)\right) \left(-24+6 x+\left(x-4 x^2\right) \log (x)+(8-2 x+6 x \log (x)) \log \left(\frac{\log (x)}{5}\right)-x \log (x) \log ^2\left(\frac{\log (x)}{5}\right)\right)}{x \log (x)} \, dx","e^{(4-x) \left(2 x+\left(\log \left(\frac{\log (x)}{5}\right)-3\right)^2-2\right)}",1,"Integrate[(E^(28 + x - 2*x^2 + (-24 + 6*x)*Log[Log[x]/5] + (4 - x)*Log[Log[x]/5]^2)*(-24 + 6*x + (x - 4*x^2)*Log[x] + (8 - 2*x + 6*x*Log[x])*Log[Log[x]/5] - x*Log[x]*Log[Log[x]/5]^2))/(x*Log[x]), x]","F",-1
7713,1,21,22,0.3051689,"\int \frac{-1+e^{2+e^x x^4} \left(2 x^3+e^x \left(-8 x^5-2 x^6+4 x^7+x^8\right)\right)}{x^2} \, dx","Integrate[(-1 + E^(2 + E^x*x^4)*(2*x^3 + E^x*(-8*x^5 - 2*x^6 + 4*x^7 + x^8)))/x^2,x]","e^{e^x x^4+2} \left(x^2-2\right)+\frac{1}{x}","e^{e^x x^4+2} \left(x^2-2\right)+\frac{1}{x}-2",1,"x^(-1) + E^(2 + E^x*x^4)*(-2 + x^2)","A",1
7714,1,22,21,0.00467,"\int \left(-22+e^x-2 x+18 x^2-4 x^3\right) \, dx","Integrate[-22 + E^x - 2*x + 18*x^2 - 4*x^3,x]","-x^4+6 x^3-x^2-22 x+e^x","-\left((x-1)^2-x-5\right)^2+e^x+2 x",1,"E^x - 22*x - x^2 + 6*x^3 - x^4","A",1
7715,0,0,24,0.7440963,"\int \frac{2 x+x^2+x^3+e^{8 x^4} \left(-8+4 x^2\right) \log ^3\left(\frac{x}{2+x+x^2}\right)+e^{8 x^4} \left(-64 x^4-32 x^5-32 x^6\right) \log ^4\left(\frac{x}{2+x+x^2}\right)}{2 x+x^2+x^3} \, dx","Integrate[(2*x + x^2 + x^3 + E^(8*x^4)*(-8 + 4*x^2)*Log[x/(2 + x + x^2)]^3 + E^(8*x^4)*(-64*x^4 - 32*x^5 - 32*x^6)*Log[x/(2 + x + x^2)]^4)/(2*x + x^2 + x^3),x]","\int \frac{2 x+x^2+x^3+e^{8 x^4} \left(-8+4 x^2\right) \log ^3\left(\frac{x}{2+x+x^2}\right)+e^{8 x^4} \left(-64 x^4-32 x^5-32 x^6\right) \log ^4\left(\frac{x}{2+x+x^2}\right)}{2 x+x^2+x^3} \, dx","x-e^{8 x^4} \log ^4\left(\frac{x}{x^2+x+2}\right)",1,"Integrate[(2*x + x^2 + x^3 + E^(8*x^4)*(-8 + 4*x^2)*Log[x/(2 + x + x^2)]^3 + E^(8*x^4)*(-64*x^4 - 32*x^5 - 32*x^6)*Log[x/(2 + x + x^2)]^4)/(2*x + x^2 + x^3), x]","F",-1
7716,1,29,22,0.1167549,"\int \frac{-e^x+x+3 x^2+3 x \log (x)+e^{-2+\frac{e^x-x-3 x^2-3 x \log (x)}{e^2}} \left(4-e^x+6 x+3 \log (x)\right) \left(e^x-x-3 x^2-3 x \log (x)\right)}{-e^x+x+3 x^2+3 x \log (x)} \, dx","Integrate[(-E^x + x + 3*x^2 + 3*x*Log[x] + E^(-2 + (E^x - x - 3*x^2 - 3*x*Log[x])/E^2)*(4 - E^x + 6*x + 3*Log[x])*(E^x - x - 3*x^2 - 3*x*Log[x]))/(-E^x + x + 3*x^2 + 3*x*Log[x]),x]","e^{\frac{e^x-x (3 x+1)}{e^2}} x^{-\frac{3 x}{e^2}}+x","x+e^{\frac{-x+e^x-3 x (x+\log (x))}{e^2}}",1,"x + E^((E^x - x*(1 + 3*x))/E^2)/x^((3*x)/E^2)","A",1
7717,1,30,33,0.1706369,"\int \frac{\left(8 x^2-4 e^x x^3-4 x^5+\left(-16 x^2-6 x^3+8 x^5+e^x \left(-2 x-2 x^2+8 x^3\right)\right) \log (4 x)+\left(-4+2 e^x x+2 x^3\right) \log \left(2-e^x x-x^3\right)\right) \log \left(\frac{\log (4 x)}{-2 x^2+\log \left(2-e^x x-x^3\right)}\right)}{\left(4 x^3-2 e^x x^4-2 x^6\right) \log (4 x)+\left(-2 x+e^x x^2+x^4\right) \log (4 x) \log \left(2-e^x x-x^3\right)} \, dx","Integrate[((8*x^2 - 4*E^x*x^3 - 4*x^5 + (-16*x^2 - 6*x^3 + 8*x^5 + E^x*(-2*x - 2*x^2 + 8*x^3))*Log[4*x] + (-4 + 2*E^x*x + 2*x^3)*Log[2 - E^x*x - x^3])*Log[Log[4*x]/(-2*x^2 + Log[2 - E^x*x - x^3])])/((4*x^3 - 2*E^x*x^4 - 2*x^6)*Log[4*x] + (-2*x + E^x*x^2 + x^4)*Log[4*x]*Log[2 - E^x*x - x^3]),x]","\log ^2\left(\frac{\log (4 x)}{\log \left(-x^3-e^x x+2\right)-2 x^2}\right)","\log ^2\left(\frac{\log (4 x)}{\log \left(2-x^2 \left(x+\frac{e^x}{x}\right)\right)-2 x^2}\right)",1,"Log[Log[4*x]/(-2*x^2 + Log[2 - E^x*x - x^3])]^2","A",1
7718,1,18,16,0.0132384,"\int \frac{-1-4 \log (x)+\log (x) \log (\log (x))}{25 x^2 \log (x)} \, dx","Integrate[(-1 - 4*Log[x] + Log[x]*Log[Log[x]])/(25*x^2*Log[x]),x]","\frac{4}{25 x}-\frac{\log (\log (x))}{25 x}","\frac{4-\log (\log (x))}{25 x}+e",1,"4/(25*x) - Log[Log[x]]/(25*x)","A",1
7719,1,29,20,0.1718509,"\int \frac{800 e^{\frac{4}{1+4 x}}-800 e^{\frac{8}{1+4 x}}}{29+232 x+464 x^2+e^{\frac{4}{1+4 x}} \left(-50-400 x-800 x^2\right)+e^{\frac{8}{1+4 x}} \left(25+200 x+400 x^2\right)} \, dx","Integrate[(800*E^(4/(1 + 4*x)) - 800*E^(8/(1 + 4*x)))/(29 + 232*x + 464*x^2 + E^(4/(1 + 4*x))*(-50 - 400*x - 800*x^2) + E^(8/(1 + 4*x))*(25 + 200*x + 400*x^2)),x]","\log \left(-50 e^{\frac{4}{4 x+1}}+25 e^{\frac{8}{4 x+1}}+29\right)","\log \left(4 \left(\left(5 e^{\frac{1}{x+\frac{1}{4}}}-5\right)^2+4\right)\right)",1,"Log[29 - 50*E^(4/(1 + 4*x)) + 25*E^(8/(1 + 4*x))]","A",1
7720,1,22,20,0.0001105,"\int \left(6+6 e^2+6 x-3 \log ^2(3)\right) \, dx","Integrate[6 + 6*E^2 + 6*x - 3*Log[3]^2,x]","3 x^2+6 e^2 x+6 x-3 x \log ^2(3)","3 x \left(x+2 \left(1+e^2\right)-\log ^2(3)\right)+1",1,"6*x + 6*E^2*x + 3*x^2 - 3*x*Log[3]^2","A",1
7721,1,27,23,0.0058975,"\int \frac{-1-e+x^2-\log \left(\frac{1}{3 e^5 x}\right)}{x^2} \, dx","Integrate[(-1 - E + x^2 - Log[1/(3*E^5*x)])/x^2,x]","x+\frac{e}{x}-\frac{5}{x}+\frac{\log \left(\frac{1}{x}\right)}{x}-\frac{\log (3)}{x}","\frac{x^2+2 x+\log \left(\frac{1}{3 e^5 x}\right)+e}{x}",1,"-5/x + E/x + x - Log[3]/x + Log[x^(-1)]/x","A",1
7722,1,44,35,2.0570012,"\int \frac{e^{e^2} \left(-12 x+4 x^2+3 x^3-x^4+e^{-1+x} \left(12-4 x-3 x^2+x^3\right)\right)+e^{e^2} \left(12 x-8 x^2+3 x^3+e^{-1+x} \left(-8 x-2 x^2+4 x^3-x^4\right)\right) \log \left(\frac{5}{x}\right)}{16 x-8 x^3+x^5} \, dx","Integrate[(E^E^2*(-12*x + 4*x^2 + 3*x^3 - x^4 + E^(-1 + x)*(12 - 4*x - 3*x^2 + x^3)) + E^E^2*(12*x - 8*x^2 + 3*x^3 + E^(-1 + x)*(-8*x - 2*x^2 + 4*x^3 - x^4))*Log[5/x])/(16*x - 8*x^3 + x^5),x]","e^{e^2-1} \left(-\frac{\left(e^x (x-3)+e (3 x-4)\right) \log \left(\frac{5}{x}\right)}{x^2-4}-e \log (x)\right)","\frac{e^{e^2} (3-x) \left(x-e^{x-1}\right) \log \left(\frac{5}{x}\right)}{4-x^2}",1,"E^(-1 + E^2)*(-(((E^x*(-3 + x) + E*(-4 + 3*x))*Log[5/x])/(-4 + x^2)) - E*Log[x])","A",1
7723,1,28,26,1.9345709,"\int \frac{4 x-5 x^2-2 x^3+3 x^4+e^{\frac{1}{-x+x^2}} \left(x-3 x^2+2 x^3-x^4\right)+\left(x^2-2 x^3+x^4\right) \log (x)}{4+8 x-12 x^2-16 x^3+16 x^4+e^{\frac{1}{-x+x^2}} \left(-4 x+12 x^3-8 x^4\right)+e^{\frac{2}{-x+x^2}} \left(x^2-2 x^3+x^4\right)+\left(4 x-12 x^3+8 x^4+e^{\frac{1}{-x+x^2}} \left(-2 x^2+4 x^3-2 x^4\right)\right) \log (x)+\left(x^2-2 x^3+x^4\right) \log ^2(x)} \, dx","Integrate[(4*x - 5*x^2 - 2*x^3 + 3*x^4 + E^(-x + x^2)^(-1)*(x - 3*x^2 + 2*x^3 - x^4) + (x^2 - 2*x^3 + x^4)*Log[x])/(4 + 8*x - 12*x^2 - 16*x^3 + 16*x^4 + E^(-x + x^2)^(-1)*(-4*x + 12*x^3 - 8*x^4) + E^(2/(-x + x^2))*(x^2 - 2*x^3 + x^4) + (4*x - 12*x^3 + 8*x^4 + E^(-x + x^2)^(-1)*(-2*x^2 + 4*x^3 - 2*x^4))*Log[x] + (x^2 - 2*x^3 + x^4)*Log[x]^2),x]","\frac{x^2}{-\left(\left(e^{\frac{1}{(x-1) x}}-4\right) x\right)+x \log (x)+2}","\frac{x}{-e^{\frac{1}{x^2-x}}+\frac{2}{x}+\log (x)+4}",1,"x^2/(2 - (-4 + E^(1/((-1 + x)*x)))*x + x*Log[x])","A",1
7724,1,21,19,0.0764412,"\int \frac{1}{2} e^{\frac{1}{2} \left(-x-2 e^e x+2 x^2\right)} \left(4 x-x^2-2 e^e x^2+4 x^3\right) \, dx","Integrate[(E^((-x - 2*E^E*x + 2*x^2)/2)*(4*x - x^2 - 2*E^E*x^2 + 4*x^3))/2,x]","e^{x^2-e^e x-\frac{x}{2}} x^2","e^{-\left(\left(-x+e^e+\frac{1}{2}\right) x\right)} x^2",1,"E^(-1/2*x - E^E*x + x^2)*x^2","A",1
7725,1,24,32,0.0549775,"\int \frac{-3 x^2+(1-3 x) \log (3)+e^{e^4-x} \left(x^2+x \log (3)\right)}{x^2+x \log (3)} \, dx","Integrate[(-3*x^2 + (1 - 3*x)*Log[3] + E^(E^4 - x)*(x^2 + x*Log[3]))/(x^2 + x*Log[3]),x]","-3 x-e^{e^4-x}+\log (x)-\log (x+\log (3))","-3 x-e^{e^4-x}-\log \left(\frac{\log (3)}{x}+1\right)-e^4+3",1,"-E^(E^4 - x) - 3*x + Log[x] - Log[x + Log[3]]","A",1
7726,1,28,27,0.0723473,"\int \frac{-15 x^4+e^x (-5+5 x)+\left(e^x (-1+x)-3 x^4\right) \log \left(\frac{e^x+80 x-x^4}{5 x}\right)}{2 e^x x+160 x^2-2 x^5} \, dx","Integrate[(-15*x^4 + E^x*(-5 + 5*x) + (E^x*(-1 + x) - 3*x^4)*Log[(E^x + 80*x - x^4)/(5*x)])/(2*E^x*x + 160*x^2 - 2*x^5),x]","\frac{1}{4} \left(\log \left(\frac{-x^4+80 x+e^x}{5 x}\right)+5\right)^2","\frac{1}{4} \left(\log \left(\frac{e^x-x^4}{5 x}+16\right)+5\right)^2",1,"(5 + Log[(E^x + 80*x - x^4)/(5*x)])^2/4","A",1
7727,1,41,24,0.059579,"\int \frac{1-7 x+33 x^2+31 x^3-40 x^4-60 x^5-20 x^6+e^{-3+3 x} \left(1-20 x^3\right)+e^{-2+2 x} \left(3+3 x+30 x^2-70 x^3-60 x^4\right)+e^{-1+x} \left(3-4 x+73 x^2-20 x^3-130 x^4-60 x^5\right)}{1+e^{-3+3 x}+3 x+3 x^2+x^3+e^{-2+2 x} (3+3 x)+e^{-1+x} \left(3+6 x+3 x^2\right)} \, dx","Integrate[(1 - 7*x + 33*x^2 + 31*x^3 - 40*x^4 - 60*x^5 - 20*x^6 + E^(-3 + 3*x)*(1 - 20*x^3) + E^(-2 + 2*x)*(3 + 3*x + 30*x^2 - 70*x^3 - 60*x^4) + E^(-1 + x)*(3 - 4*x + 73*x^2 - 20*x^3 - 130*x^4 - 60*x^5))/(1 + E^(-3 + 3*x) + 3*x + 3*x^2 + x^3 + E^(-2 + 2*x)*(3 + 3*x) + E^(-1 + x)*(3 + 6*x + 3*x^2)),x]","-5 x^4+\frac{10 e x^3}{e x+e^x+e}-\frac{5 e^2 x^2}{\left(e x+e^x+e\right)^2}+x","-5 \left(x^2-\frac{x}{x+e^{x-1}+1}\right)^2+x+2",1,"x - 5*x^4 - (5*E^2*x^2)/(E + E^x + E*x)^2 + (10*E*x^3)/(E + E^x + E*x)","A",1
7728,1,100,28,0.2390294,"\int \frac{64 x^6-16 x^2 \log (5)+e^{e^3} \left(4+2 x+256 x^7+128 x^8+\left(-64 x^3-32 x^4\right) \log (5)\right)+\left(4+2 x+256 x^7+128 x^8+\left(-64 x^3-32 x^4\right) \log (5)\right) \log (2+x)+\left(192 x^4-16 \log (5)+e^{e^3} \left(768 x^5+384 x^6+\left(-64 x-32 x^2\right) \log (5)\right)+\left(768 x^5+384 x^6+\left(-64 x-32 x^2\right) \log (5)\right) \log (2+x)\right) \log \left(e^{e^3}+\log (2+x)\right)+\left(192 x^2+e^{e^3} \left(768 x^3+384 x^4\right)+\left(768 x^3+384 x^4\right) \log (2+x)\right) \log ^2\left(e^{e^3}+\log (2+x)\right)+\left(64+e^{e^3} \left(256 x+128 x^2\right)+\left(256 x+128 x^2\right) \log (2+x)\right) \log ^3\left(e^{e^3}+\log (2+x)\right)}{e^{e^3} (2+x)+(2+x) \log (2+x)} \, dx","Integrate[(64*x^6 - 16*x^2*Log[5] + E^E^3*(4 + 2*x + 256*x^7 + 128*x^8 + (-64*x^3 - 32*x^4)*Log[5]) + (4 + 2*x + 256*x^7 + 128*x^8 + (-64*x^3 - 32*x^4)*Log[5])*Log[2 + x] + (192*x^4 - 16*Log[5] + E^E^3*(768*x^5 + 384*x^6 + (-64*x - 32*x^2)*Log[5]) + (768*x^5 + 384*x^6 + (-64*x - 32*x^2)*Log[5])*Log[2 + x])*Log[E^E^3 + Log[2 + x]] + (192*x^2 + E^E^3*(768*x^3 + 384*x^4) + (768*x^3 + 384*x^4)*Log[2 + x])*Log[E^E^3 + Log[2 + x]]^2 + (64 + E^E^3*(256*x + 128*x^2) + (256*x + 128*x^2)*Log[2 + x])*Log[E^E^3 + Log[2 + x]]^3)/(E^E^3*(2 + x) + (2 + x)*Log[2 + x]),x]","2 \left(8 x^8+4 \left(12 x^4-\log (5)\right) \log ^2\left(\log (x+2)+e^{e^3}\right)-4 x^4 \log (5)+32 x^2 \log ^3\left(\log (x+2)+e^{e^3}\right)+8 x^2 \left(4 x^4-\log (5)\right) \log \left(\log (x+2)+e^{e^3}\right)+x+8 \log ^4\left(\log (x+2)+e^{e^3}\right)\right)","\left(\log (5)-4 \left(x^2+\log \left(\log (x+2)+e^{e^3}\right)\right)^2\right)^2+2 x",1,"2*(x + 8*x^8 - 4*x^4*Log[5] + 8*x^2*(4*x^4 - Log[5])*Log[E^E^3 + Log[2 + x]] + 4*(12*x^4 - Log[5])*Log[E^E^3 + Log[2 + x]]^2 + 32*x^2*Log[E^E^3 + Log[2 + x]]^3 + 8*Log[E^E^3 + Log[2 + x]]^4)","B",1
7729,1,58,35,0.4105755,"\int \frac{4^{-\frac{10 x}{(i \pi +\log (\log (625)))^2}} \left(\frac{1}{x}\right)^{\frac{10 x}{(i \pi +\log (\log (625)))^2}} \left(-10+10 \log \left(\frac{1}{4 x}\right)\right)}{(i \pi +\log (\log (625)))^2} \, dx","Integrate[((x^(-1))^((10*x)/(I*Pi + Log[Log[625]])^2)*(-10 + 10*Log[1/(4*x)]))/(4^((10*x)/(I*Pi + Log[Log[625]])^2)*(I*Pi + Log[Log[625]])^2),x]","-\frac{(\pi -i \log (\log (625)))^2 2^{\frac{20 x}{(\pi -i \log (\log (625)))^2}} \left(\frac{1}{x}\right)^{-\frac{10 x}{(\pi -i \log (\log (625)))^2}}}{(\log (\log (625))+i \pi )^2}","4^{-\frac{10 x}{(\log (\log (625))+i \pi )^2}} \left(\frac{1}{x}\right)^{\frac{10 x}{(\log (\log (625))+i \pi )^2}}",1,"-((2^((20*x)/(Pi - I*Log[Log[625]])^2)*(Pi - I*Log[Log[625]])^2)/((x^(-1))^((10*x)/(Pi - I*Log[Log[625]])^2)*(I*Pi + Log[Log[625]])^2))","A",1
7730,1,20,18,0.0087101,"\int \frac{20 e^{4/x}-30 x^4-4 x^5}{x^2} \, dx","Integrate[(20*E^(4/x) - 30*x^4 - 4*x^5)/x^2,x]","-x^4-10 x^3-5 e^{4/x}","-\left((x+10) x^3\right)-5 e^{4/x}",1,"-5*E^(4/x) - 10*x^3 - x^4","A",1
7731,1,15,15,0.012139,"\int \frac{e^{-\frac{1}{x^2}} \left(40+10 x+20 x^2-5 x^3\right)}{64 x^2+48 x^3+12 x^4+x^5} \, dx","Integrate[(40 + 10*x + 20*x^2 - 5*x^3)/(E^x^(-2)*(64*x^2 + 48*x^3 + 12*x^4 + x^5)),x]","\frac{5 e^{-\frac{1}{x^2}} x}{(x+4)^2}","\frac{5 e^{-\frac{1}{x^2}} x}{(x+4)^2}",1,"(5*x)/(E^x^(-2)*(4 + x)^2)","A",1
7732,1,10,10,0.0236202,"\int \frac{1}{15} e^{\frac{1}{15} \left(-2 x+x^2\right)} (-2+2 x) \, dx","Integrate[(E^((-2*x + x^2)/15)*(-2 + 2*x))/15,x]","e^{\frac{1}{15} (x-2) x}","e^{\frac{1}{15} (x-2) x}",1,"E^(((-2 + x)*x)/15)","A",1
7733,1,10,10,0.0000741,"\int 2 e^4 x^7 \, dx","Integrate[2*E^4*x^7,x]","\frac{e^4 x^8}{4}","\frac{e^4 x^8}{4}",1,"(E^4*x^8)/4","A",1
7734,1,15,15,0.0067229,"\int \frac{6045+1208 x-1209 \log ^2(4)}{-5 x-x^2+x \log ^2(4)} \, dx","Integrate[(6045 + 1208*x - 1209*Log[4]^2)/(-5*x - x^2 + x*Log[4]^2),x]","\log \left(x+5-\log ^2(4)\right)-1209 \log (x)","\log \left(-x-5+\log ^2(4)\right)-1209 \log (x)",1,"-1209*Log[x] + Log[5 + x - Log[4]^2]","A",1
7735,1,20,21,0.9149454,"\int \frac{-375-525 x-119 x^2+2 x^3}{375 x^2+122 x^3-x^4+\left(375 x+125 x^2\right) \log (x)+\left(75 x+25 x^2\right) \log (3+x)} \, dx","Integrate[(-375 - 525*x - 119*x^2 + 2*x^3)/(375*x^2 + 122*x^3 - x^4 + (375*x + 125*x^2)*Log[x] + (75*x + 25*x^2)*Log[3 + x]),x]","-\log \left(x^2-125 x-125 \log (x)-25 \log (x+3)\right)","-\log \left(-\frac{x^2}{25}+5 (x+\log (x))+\log (x+3)\right)",1,"-Log[-125*x + x^2 - 125*Log[x] - 25*Log[3 + x]]","A",1
7736,1,15,19,0.0047014,"\int \frac{-120+11 x-8 x^2}{125+5 x+8 x^2} \, dx","Integrate[(-120 + 11*x - 8*x^2)/(125 + 5*x + 8*x^2),x]","\log \left(8 x^2+5 x+125\right)-x","\log \left(x+4 x \log \left(e^{2 x/5}\right)+25\right)-x",1,"-x + Log[125 + 5*x + 8*x^2]","A",1
7737,1,32,30,0.206038,"\int \frac{\exp \left(4+2 \exp \left(x+2 x \left(i \pi +\log \left(-1+e^2\right)\right)+x \left(i \pi +\log \left(-1+e^2\right)\right)^2\right)+x+2 x \left(i \pi +\log \left(-1+e^2\right)\right)+x \left(i \pi +\log \left(-1+e^2\right)\right)^2\right) \left(2+4 \left(i \pi +\log \left(-1+e^2\right)\right)+2 \left(i \pi +\log \left(-1+e^2\right)\right)^2\right)}{-1+\exp \left(4+2 \exp \left(x+2 x \left(i \pi +\log \left(-1+e^2\right)\right)+x \left(i \pi +\log \left(-1+e^2\right)\right)^2\right)\right)} \, dx","Integrate[(E^(4 + 2*E^(x + 2*x*(I*Pi + Log[-1 + E^2]) + x*(I*Pi + Log[-1 + E^2])^2) + x + 2*x*(I*Pi + Log[-1 + E^2]) + x*(I*Pi + Log[-1 + E^2])^2)*(2 + 4*(I*Pi + Log[-1 + E^2]) + 2*(I*Pi + Log[-1 + E^2])^2))/(-1 + E^(4 + 2*E^(x + 2*x*(I*Pi + Log[-1 + E^2]) + x*(I*Pi + Log[-1 + E^2])^2))),x]","\log \left(1-\exp \left(4+2 e^{-x \left(\pi -i \left(1+\log \left(e^2-1\right)\right)\right)^2}\right)\right)","\log \left(1-e^{4+2 e^{x \left(1+i \pi +\log \left(e^2-1\right)\right)^2}}\right)",1,"Log[1 - E^(4 + 2/E^(x*(Pi - I*(1 + Log[-1 + E^2]))^2))]","A",1
7738,1,466003,22,85.0303333,"\int \frac{\left(512+128 x-512 x^2+128 x^4\right) \log ^7(x)+\left(-640-224 x+1152 x^2-416 x^4\right) \log ^8(x)}{640000 x^{11}+800000 x^{12}-2800000 x^{13}-3100000 x^{14}+6012500 x^{15}+5400625 x^{16}-8112500 x^{17}-5450000 x^{18}+7403125 x^{19}+3450000 x^{20}-4665000 x^{21}-1393750 x^{22}+2025000 x^{23}+350000 x^{24}-593750 x^{25}-50000 x^{26}+112500 x^{27}+3125 x^{28}-12500 x^{29}+625 x^{31}} \, dx","Integrate[((512 + 128*x - 512*x^2 + 128*x^4)*Log[x]^7 + (-640 - 224*x + 1152*x^2 - 416*x^4)*Log[x]^8)/(640000*x^11 + 800000*x^12 - 2800000*x^13 - 3100000*x^14 + 6012500*x^15 + 5400625*x^16 - 8112500*x^17 - 5450000*x^18 + 7403125*x^19 + 3450000*x^20 - 4665000*x^21 - 1393750*x^22 + 2025000*x^23 + 350000*x^24 - 593750*x^25 - 50000*x^26 + 112500*x^27 + 3125*x^28 - 12500*x^29 + 625*x^31),x]","\text{Result too large to show}","\frac{16 \log ^8(x)}{625 x^{10} \left(\left(x^2-2\right)^2+x\right)^4}",1,"Result too large to show","C",0
7739,1,19,22,0.0035136,"\int \frac{-1+\left(6+2 x-3 x^2\right) \log (5)}{\log (5)} \, dx","Integrate[(-1 + (6 + 2*x - 3*x^2)*Log[5])/Log[5],x]","-x^3+x^2+6 x-\frac{x}{\log (5)}","-x^3+2 x+(x+2)^2-\frac{x}{\log (5)}-1",1,"6*x + x^2 - x^3 - x/Log[5]","A",1
7740,1,61,28,0.080483,"\int \frac{-5 e^7+e^6 \left(-5 e^4+20 e^2 x\right)+e^6 \left(20 e^2 x+10 e^4 x\right) \log (x)+\left(-e^4 x+e^3 \left(-2 e^4 x+8 e^2 x^2\right)+e^6 \left(4 e^4 x+8 e^2 x^2-16 x^3\right)\right) \log ^2(x)+\left(2 e^7 x^2+e^6 \left(2 e^4 x^2-8 e^2 x^3\right)\right) \log ^3(x)-e^{10} x^3 \log ^4(x)}{\left(e^4 x+e^3 \left(2 e^4 x-8 e^2 x^2\right)+e^6 \left(e^4 x-8 e^2 x^2+16 x^3\right)\right) \log ^2(x)+\left(-2 e^7 x^2+e^6 \left(-2 e^4 x^2+8 e^2 x^3\right)\right) \log ^3(x)+e^{10} x^3 \log ^4(x)} \, dx","Integrate[(-5*E^7 + E^6*(-5*E^4 + 20*E^2*x) + E^6*(20*E^2*x + 10*E^4*x)*Log[x] + (-(E^4*x) + E^3*(-2*E^4*x + 8*E^2*x^2) + E^6*(4*E^4*x + 8*E^2*x^2 - 16*x^3))*Log[x]^2 + (2*E^7*x^2 + E^6*(2*E^4*x^2 - 8*E^2*x^3))*Log[x]^3 - E^10*x^3*Log[x]^4)/((E^4*x + E^3*(2*E^4*x - 8*E^2*x^2) + E^6*(E^4*x - 8*E^2*x^2 + 16*x^3))*Log[x]^2 + (-2*E^7*x^2 + E^6*(-2*E^4*x^2 + 8*E^2*x^3))*Log[x]^3 + E^10*x^3*Log[x]^4),x]","-x-\frac{5 e^6 x}{\left(-4 e x+e^3+1\right) \left(4 e x+e^3 x \log (x)-e^3-1\right)}+\frac{5 e^3}{\left(-4 e x+e^3+1\right) \log (x)}","\frac{5}{\log (x) \left(-x \left(\log (x)+\frac{4}{e^2}\right)+\frac{1}{e^3}+1\right)}-x",1,"-x + (5*E^3)/((1 + E^3 - 4*E*x)*Log[x]) - (5*E^6*x)/((1 + E^3 - 4*E*x)*(-1 - E^3 + 4*E*x + E^3*x*Log[x]))","B",1
7741,1,31,28,0.6693427,"\int \frac{\exp \left(\frac{1}{5} \left(-12+e^{e^3} (-3-5 x)-5 x+25 x^2+(-3-5 x) \log (x)\right)\right) \left(-3-10 x-5 e^{e^3} x+50 x^2-5 x \log (x)\right)}{5 x} \, dx","Integrate[(E^((-12 + E^E^3*(-3 - 5*x) - 5*x + 25*x^2 + (-3 - 5*x)*Log[x])/5)*(-3 - 10*x - 5*E^E^3*x + 50*x^2 - 5*x*Log[x]))/(5*x),x]","e^{-\frac{1}{5} \left(-5 x+e^{e^3}+4\right) (5 x+3)} x^{-x-\frac{3}{5}}","\exp \left(\left(x+\frac{3}{5}\right) \left(-4 (1-x)+x-\log (x)-e^{e^3}\right)\right)",1,"x^(-3/5 - x)/E^(((4 + E^E^3 - 5*x)*(3 + 5*x))/5)","A",1
7742,1,20,32,0.1608319,"\int \frac{e^{\frac{x-x^3 \log (x)}{\log ^2(x)}} \left(2+\left(-1-x^2\right) \log (x)+3 x^2 \log ^2(x)\right)}{\log ^3(x)} \, dx","Integrate[(E^((x - x^3*Log[x])/Log[x]^2)*(2 + (-1 - x^2)*Log[x] + 3*x^2*Log[x]^2))/Log[x]^3,x]","-e^{\frac{x}{\log ^2(x)}-\frac{x^3}{\log (x)}}","-e^{\frac{\frac{x}{\log (x)}-x^3}{\log (x)}}+9+e^{4-e^4}",1,"-E^(x/Log[x]^2 - x^3/Log[x])","A",1
7743,1,40,16,0.019574,"\int \frac{-6000+1000 x+(-2200+200 x) \log (x)-200 \log ^2(x)}{3 x^3} \, dx","Integrate[(-6000 + 1000*x + (-2200 + 200*x)*Log[x] - 200*Log[x]^2)/(3*x^3),x]","\frac{200}{3} \left(\frac{18}{x^2}+\frac{\log ^2(x)}{2 x^2}+\frac{6 \log (x)}{x^2}-\frac{6}{x}-\frac{\log (x)}{x}\right)","\frac{100 (-x+\log (x)+6)^2}{3 x^2}",1,"(200*(18/x^2 - 6/x + (6*Log[x])/x^2 - Log[x]/x + Log[x]^2/(2*x^2)))/3","B",1
7744,1,27,25,2.2325428,"\int \exp \left(1-e^x+e^{1-e^x+x+x \log \left(2 e^{2 x} x^2\right)}+x+x \log \left(2 e^{2 x} x^2\right)\right) \left(3-e^x+2 x+\log \left(2 e^{2 x} x^2\right)\right) \, dx","Integrate[E^(1 - E^x + E^(1 - E^x + x + x*Log[2*E^(2*x)*x^2]) + x + x*Log[2*E^(2*x)*x^2])*(3 - E^x + 2*x + Log[2*E^(2*x)*x^2]),x]","e^{2^x e^{x-e^x+1} \left(e^{2 x} x^2\right)^x}","e^{e^{x \log \left(2 e^{2 x} x^2\right)+x-e^x+1}}",1,"E^(2^x*E^(1 - E^x + x)*(E^(2*x)*x^2)^x)","A",1
7745,1,24,24,5.0945291,"\int \frac{\frac{e^{17} (1+x)}{x}+\frac{e (-1-x) (2+2 x)^5}{x}+(5 e-25 x) (2+2 x)^5 \log \left(5-\frac{e}{x}\right) \log \left(\log \left(5-\frac{e}{x}\right)\right)}{\left(-5 x-5 x^2+\frac{e \left(x+x^2\right)}{x}\right) \log \left(5-\frac{e}{x}\right)} \, dx","Integrate[((E^17*(1 + x))/x + (E*(-1 - x)*(2 + 2*x)^5)/x + (5*E - 25*x)*(2 + 2*x)^5*Log[5 - E/x]*Log[Log[5 - E/x]])/((-5*x - 5*x^2 + (E*(x + x^2))/x)*Log[5 - E/x]),x]","\left(32 (x+1)^5-e^{16}\right) \log \left(\log \left(5-\frac{e}{x}\right)\right)","\left((2 x+2)^5-e^{16}\right) \log \left(\log \left(5-\frac{e}{x}\right)\right)",1,"(-E^16 + 32*(1 + x)^5)*Log[Log[5 - E/x]]","A",1
7746,1,26,26,0.0837753,"\int \frac{-13 e^{x/2}-52 e^{x^2} x+\left(-78+26 e^{x/2}+26 e^{x^2}\right) \log \left(-3+e^{x/2}+e^{x^2}\right)}{\left(-36 x^2+12 e^{x/2} x^2+12 e^{x^2} x^2\right) \log \left(-3+e^{x/2}+e^{x^2}\right)+\left(72 x-24 e^{x/2} x-24 e^{x^2} x\right) \log \left(-3+e^{x/2}+e^{x^2}\right) \log \left(\log \left(-3+e^{x/2}+e^{x^2}\right)\right)+\left(-36+12 e^{x/2}+12 e^{x^2}\right) \log \left(-3+e^{x/2}+e^{x^2}\right) \log ^2\left(\log \left(-3+e^{x/2}+e^{x^2}\right)\right)} \, dx","Integrate[(-13*E^(x/2) - 52*E^x^2*x + (-78 + 26*E^(x/2) + 26*E^x^2)*Log[-3 + E^(x/2) + E^x^2])/((-36*x^2 + 12*E^(x/2)*x^2 + 12*E^x^2*x^2)*Log[-3 + E^(x/2) + E^x^2] + (72*x - 24*E^(x/2)*x - 24*E^x^2*x)*Log[-3 + E^(x/2) + E^x^2]*Log[Log[-3 + E^(x/2) + E^x^2]] + (-36 + 12*E^(x/2) + 12*E^x^2)*Log[-3 + E^(x/2) + E^x^2]*Log[Log[-3 + E^(x/2) + E^x^2]]^2),x]","\frac{13}{6 \left(\log \left(\log \left(e^{x^2}+e^{x/2}-3\right)\right)-x\right)}","\frac{13}{6 \left(\log \left(\log \left(e^{x^2}+e^{x/2}-3\right)\right)-x\right)}",1,"13/(6*(-x + Log[Log[-3 + E^(x/2) + E^x^2]]))","A",1
7747,1,37,28,0.2828117,"\int \frac{e^{2 x} \left(843780+226968 x-30576 x^2-5880 x^3+588 x^4\right)+e^{4 x} \left(7031500+4302200 x+198520 x^2-257736 x^3-17616 x^4+7080 x^5+136 x^6-88 x^7+4 x^8\right)}{2401} \, dx","Integrate[(E^(2*x)*(843780 + 226968*x - 30576*x^2 - 5880*x^3 + 588*x^4) + E^(4*x)*(7031500 + 4302200*x + 198520*x^2 - 257736*x^3 - 17616*x^4 + 7080*x^5 + 136*x^6 - 88*x^7 + 4*x^8))/2401,x]","\frac{e^{2 x} \left(x^2-6 x-35\right)^2 \left(e^{2 x} \left(x^2-6 x-35\right)^2+294\right)}{2401}","\left(e^{2 x} \left(\frac{1}{7} \left(-x^2-x\right)+x+5\right)^2+3\right)^2",1,"(E^(2*x)*(-35 - 6*x + x^2)^2*(294 + E^(2*x)*(-35 - 6*x + x^2)^2))/2401","A",1
7748,1,87,28,0.1445717,"\int \frac{-512+500 x-78 x^2-4 x^3+e^2 \left(4 x^3-x^4\right) \log (4)+\left(32-32 x+6 x^2\right) \log (4-x)}{e^2 \left(-16 x^3+20 x^4-8 x^5+x^6\right)} \, dx","Integrate[(-512 + 500*x - 78*x^2 - 4*x^3 + E^2*(4*x^3 - x^4)*Log[4] + (32 - 32*x + 6*x^2)*Log[4 - x])/(E^2*(-16*x^3 + 20*x^4 - 8*x^5 + x^6)),x]","\frac{x^3 (-\log (4-x))+(x-2) x^2 \log (2-x)+2 x^2 \log (4-x)+4 e^2 x^2 \log (4)+2 (x-2) x^2 \tanh ^{-1}(3-x)+8 x-8 \log (4-x)+128}{4 e^2 (x-2) x^2}","\frac{\frac{2 (x-\log (4-x)+16)}{e^2 x^2}+\log (4)}{x-2}",1,"(128 + 8*x + 2*(-2 + x)*x^2*ArcTanh[3 - x] + 4*E^2*x^2*Log[4] + (-2 + x)*x^2*Log[2 - x] - 8*Log[4 - x] + 2*x^2*Log[4 - x] - x^3*Log[4 - x])/(4*E^2*(-2 + x)*x^2)","B",1
7749,1,20,21,0.0956428,"\int \frac{x^2+e^{e^{\frac{1}{x}+x}+\frac{1}{x}+x} \left(-1+x^2\right)+\left(-3 e^{e^{\frac{1}{x}+x}} x-3 x^2\right) \log \left(2 e^{e^{\frac{1}{x}+x}}+2 x\right)}{\left(e^{e^{\frac{1}{x}+x}} x^2+x^3\right) \log \left(2 e^{e^{\frac{1}{x}+x}}+2 x\right)} \, dx","Integrate[(x^2 + E^(E^(x^(-1) + x) + x^(-1) + x)*(-1 + x^2) + (-3*E^E^(x^(-1) + x)*x - 3*x^2)*Log[2*E^E^(x^(-1) + x) + 2*x])/((E^E^(x^(-1) + x)*x^2 + x^3)*Log[2*E^E^(x^(-1) + x) + 2*x]),x]","\log \left(\log \left(2 \left(x+e^{e^{x+\frac{1}{x}}}\right)\right)\right)-3 \log (x)","-3 \log (x)+\log \left(\log \left(2 \left(x+e^{e^{x+\frac{1}{x}}}\right)\right)\right)+3",1,"-3*Log[x] + Log[Log[2*(E^E^(x^(-1) + x) + x)]]","A",1
7750,1,16,11,0.0057494,"\int \frac{256+512 x+192 x^2}{1+256 x+256 x^2+64 x^3} \, dx","Integrate[(256 + 512*x + 192*x^2)/(1 + 256*x + 256*x^2 + 64*x^3),x]","\log \left(64 x^3+256 x^2+256 x+1\right)","\log \left(256 x (x+2)^2+4\right)",1,"Log[1 + 256*x + 256*x^2 + 64*x^3]","A",1
7751,1,18,18,0.0225733,"\int \frac{e^{-4 x} \left(e^{4 e^4} (256-1024 x)+e^{4 e^4} (192-1024 x) \log (x)+e^{4 e^4} (48-384 x) \log ^2(x)+e^{4 e^4} (4-64 x) \log ^3(x)-4 e^{4 e^4} x \log ^4(x)\right)}{x} \, dx","Integrate[(E^(4*E^4)*(256 - 1024*x) + E^(4*E^4)*(192 - 1024*x)*Log[x] + E^(4*E^4)*(48 - 384*x)*Log[x]^2 + E^(4*E^4)*(4 - 64*x)*Log[x]^3 - 4*E^(4*E^4)*x*Log[x]^4)/(E^(4*x)*x),x]","e^{4 e^4-4 x} (\log (x)+4)^4","e^{4 e^4-4 x} (\log (x)+4)^4",1,"E^(4*E^4 - 4*x)*(4 + Log[x])^4","A",1
7752,1,22,24,0.0149025,"\int \frac{2-156 x+122 x^2-8 x^3+1352 x^4-208 x^5+8 x^6}{1+52 x^2-4 x^3+676 x^4-104 x^5+4 x^6} \, dx","Integrate[(2 - 156*x + 122*x^2 - 8*x^3 + 1352*x^4 - 208*x^5 + 8*x^6)/(1 + 52*x^2 - 4*x^3 + 676*x^4 - 104*x^5 + 4*x^6),x]","2 \left(x-\frac{3}{2 \left(2 x^3-26 x^2-1\right)}\right)","\frac{3}{(25-2 x) x^2+x^2+1}+2 x+\log (2)",1,"2*(x - 3/(2*(-1 - 26*x^2 + 2*x^3)))","A",1
7753,1,17,20,0.0907114,"\int \frac{1+8 x^5+4 x^6+(-1+2 x) \log (x)}{2 x^6+x \log (x)} \, dx","Integrate[(1 + 8*x^5 + 4*x^6 + (-1 + 2*x)*Log[x])/(2*x^6 + x*Log[x]),x]","\log \left(2 x^5+\log (x)\right)+2 x-\log (x)","\log \left(x^4+\frac{\log (x)}{2 x}\right)+2 (x-25)",1,"2*x - Log[x] + Log[2*x^5 + Log[x]]","A",1
7754,1,27,28,4.0369272,"\int \frac{512 x^2-128 x^3+\left(1536 x^2-128 x^3\right) \log (x)+\frac{e^{5-x} \left(32 x^2+\left(160 x^2+64 x^3\right) \log (x)\right)}{x}}{4096+\frac{e^{15-3 x}}{x^3}+\frac{e^{10-2 x} (48-12 x)}{x^2}-3072 x+768 x^2-64 x^3+\frac{e^{5-x} \left(768-384 x+48 x^2\right)}{x}} \, dx","Integrate[(512*x^2 - 128*x^3 + (1536*x^2 - 128*x^3)*Log[x] + (E^(5 - x)*(32*x^2 + (160*x^2 + 64*x^3)*Log[x]))/x)/(4096 + E^(15 - 3*x)/x^3 + (E^(10 - 2*x)*(48 - 12*x))/x^2 - 3072*x + 768*x^2 - 64*x^3 + (E^(5 - x)*(768 - 384*x + 48*x^2))/x),x]","\frac{32 e^{2 x} x^5 \log (x)}{\left(e^5-4 e^x (x-4) x\right)^2}","\frac{2 x^3 \log (x)}{\left(-x+\frac{e^{5-x}}{4 x}+4\right)^2}",1,"(32*E^(2*x)*x^5*Log[x])/(E^5 - 4*E^x*(-4 + x)*x)^2","A",1
7755,1,94,27,0.2445288,"\int \frac{-6 x+2 x^3+e^{10} \left(-6 x+2 x^3\right)+e^5 \left(-12 x+4 x^3\right)+e^{2-2 x} \left(-6 x+6 x^2+2 x^3-2 x^4\right)+e^{1-x} \left(-12 x+6 x^2+4 x^3-2 x^4+e^5 \left(-12 x+6 x^2+4 x^3-2 x^4\right)\right)+\left(2 x+2 x^3+4 e^5 x^3+2 e^{10} x^3+2 e^{2-2 x} x^3+e^{1-x} \left(4 x^3+4 e^5 x^3\right)\right) \log \left(1+x^2+2 e^5 x^2+e^{10} x^2+e^{2-2 x} x^2+e^{1-x} \left(2 x^2+2 e^5 x^2\right)\right)}{1+x^2+2 e^5 x^2+e^{10} x^2+e^{2-2 x} x^2+e^{1-x} \left(2 x^2+2 e^5 x^2\right)} \, dx","Integrate[(-6*x + 2*x^3 + E^10*(-6*x + 2*x^3) + E^5*(-12*x + 4*x^3) + E^(2 - 2*x)*(-6*x + 6*x^2 + 2*x^3 - 2*x^4) + E^(1 - x)*(-12*x + 6*x^2 + 4*x^3 - 2*x^4 + E^5*(-12*x + 6*x^2 + 4*x^3 - 2*x^4)) + (2*x + 2*x^3 + 4*E^5*x^3 + 2*E^10*x^3 + 2*E^(2 - 2*x)*x^3 + E^(1 - x)*(4*x^3 + 4*E^5*x^3))*Log[1 + x^2 + 2*E^5*x^2 + E^10*x^2 + E^(2 - 2*x)*x^2 + E^(1 - x)*(2*x^2 + 2*E^5*x^2)])/(1 + x^2 + 2*E^5*x^2 + E^10*x^2 + E^(2 - 2*x)*x^2 + E^(1 - x)*(2*x^2 + 2*E^5*x^2)),x]","2 \left(\frac{1}{2} x^2 \log \left(e^{-2 x} \left(e^x+e^{x+5}+e\right)^2 x^2+1\right)-\frac{3}{2} \log \left(e^{2-2 x} x^2+2 e^{1-x} x^2+2 e^{6-x} x^2+e^{10} x^2+2 e^5 x^2+x^2+1\right)\right)","\left(x^2-3\right) \log \left(\left(e^{1-x}+1+e^5\right)^2 x^2+1\right)",1,"2*((-3*Log[1 + x^2 + 2*E^5*x^2 + E^10*x^2 + E^(2 - 2*x)*x^2 + 2*E^(1 - x)*x^2 + 2*E^(6 - x)*x^2])/2 + (x^2*Log[1 + ((E + E^x + E^(5 + x))^2*x^2)/E^(2*x)])/2)","B",1
7756,1,5,15,0.0001993,"\int -e^x \, dx","Integrate[-E^x,x]","-e^x","-e^x+\log ^2(2+e)+\log (\log (3))",1,"-E^x","A",1
7757,1,17,24,0.1097241,"\int \frac{48-16 x-8 x^5+\left(-64+24 x+16 x^5\right) \log (x)-8 x^5 \log ^2(x)}{x^5-2 x^5 \log (x)+x^5 \log ^2(x)} \, dx","Integrate[(48 - 16*x - 8*x^5 + (-64 + 24*x + 16*x^5)*Log[x] - 8*x^5*Log[x]^2)/(x^5 - 2*x^5*Log[x] + x^5*Log[x]^2),x]","-8 \left(\frac{x-2}{x^4 (\log (x)-1)}+x\right)","2 (2-x) \left(\frac{4}{x^3 (x \log (x)-x)}+4\right)",1,"-8*(x + (-2 + x)/(x^4*(-1 + Log[x])))","A",1
7758,1,19,19,0.1052263,"\int \frac{e^{\frac{-e+\log (3)}{-20-x+x \log (x)}} (e-\log (3)) \log (x)}{400+40 x+x^2+\left(-40 x-2 x^2\right) \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(E^((-E + Log[3])/(-20 - x + x*Log[x]))*(E - Log[3])*Log[x])/(400 + 40*x + x^2 + (-40*x - 2*x^2)*Log[x] + x^2*Log[x]^2),x]","e^{\frac{e-\log (3)}{x+x (-\log (x))+20}}","e^{\frac{e-\log (3)}{x+x (-\log (x))+20}}",1,"E^((E - Log[3])/(20 + x - x*Log[x]))","A",1
7759,1,29,25,0.0264485,"\int \frac{50-40 x-25 e^x x^3+(-20+8 x) \log (4)+2 \log ^2(4)}{x^3} \, dx","Integrate[(50 - 40*x - 25*E^x*x^3 + (-20 + 8*x)*Log[4] + 2*Log[4]^2)/x^3,x]","\frac{(5-\log (4)) (\log (4)-5)}{x^2}-25 e^x-\frac{8 (\log (4)-5)}{x}","-25 e^x-\left(\frac{5}{x}-\frac{\log (4)}{x}-4\right)^2+5",1,"-25*E^x - (8*(-5 + Log[4]))/x + ((5 - Log[4])*(-5 + Log[4]))/x^2","A",1
7760,1,50,23,0.2991551,"\int \frac{e^{3-x} \left(81 x^2+63 x^3-17 x^4+x^5\right)+e^{-\frac{e^{-2+x}}{-9 x+x^2}} \left(e \left(-9+11 x-x^2\right)+e^{3-x} \left(81 x^2-18 x^3+x^4\right)\right)}{e^{3-x-\frac{e^{-2+x}}{-9 x+x^2}} \left(81 x^2-18 x^3+x^4\right)+e^{3-x} \left(81 x^3-18 x^4+x^5\right)} \, dx","Integrate[(E^(3 - x)*(81*x^2 + 63*x^3 - 17*x^4 + x^5) + (E*(-9 + 11*x - x^2) + E^(3 - x)*(81*x^2 - 18*x^3 + x^4))/E^(E^(-2 + x)/(-9*x + x^2)))/(E^(3 - x - E^(-2 + x)/(-9*x + x^2))*(81*x^2 - 18*x^3 + x^4) + E^(3 - x)*(81*x^3 - 18*x^4 + x^5)),x]","\frac{\frac{e^x}{9 x-x^2}+e^2 x+e^2 \log \left(e^{\frac{e^{x-2}}{(x-9) x}} x+1\right)}{e^2}","\log \left(e^{-\frac{e^{x-2}}{x^2-9 x}}+x\right)+x",1,"(E^2*x + E^x/(9*x - x^2) + E^2*Log[1 + E^(E^(-2 + x)/((-9 + x)*x))*x])/E^2","B",1
7761,1,20,21,1.4395013,"\int \frac{\exp \left(e^{-\frac{e^{32}}{-5+\log (x)}} (-2-2 x)-\frac{e^{32}}{-5+\log (x)}\right) \left(e^{32} (-2-2 x)-50 x+20 x \log (x)-2 x \log ^2(x)\right)}{25 x-10 x \log (x)+x \log ^2(x)} \, dx","Integrate[(E^((-2 - 2*x)/E^(E^32/(-5 + Log[x])) - E^32/(-5 + Log[x]))*(E^32*(-2 - 2*x) - 50*x + 20*x*Log[x] - 2*x*Log[x]^2))/(25*x - 10*x*Log[x] + x*Log[x]^2),x]","e^{-2 (x+1) e^{-\frac{e^{32}}{\log (x)-5}}}","e^{(-2 x-2) e^{-\frac{e^{32}}{\log (x)-5}}}",1,"E^((-2*(1 + x))/E^(E^32/(-5 + Log[x])))","A",1
7762,0,0,27,1.5060128,"\int \frac{3^{-\frac{2 \left(x^3-x^4\right)}{1+4 x^3 \log \left(\frac{x}{3}\right)}} x^{\frac{2 \left(x^3-x^4\right)}{1+4 x^3 \log \left(\frac{x}{3}\right)}} \left(2 x^2-2 x^3+\left(6 x^2-8 x^3\right) \log \left(\frac{x}{3}\right)-8 x^6 \log ^2\left(\frac{x}{3}\right)\right)}{1+8 x^3 \log \left(\frac{x}{3}\right)+16 x^6 \log ^2\left(\frac{x}{3}\right)} \, dx","Integrate[(x^((2*(x^3 - x^4))/(1 + 4*x^3*Log[x/3]))*(2*x^2 - 2*x^3 + (6*x^2 - 8*x^3)*Log[x/3] - 8*x^6*Log[x/3]^2))/(3^((2*(x^3 - x^4))/(1 + 4*x^3*Log[x/3]))*(1 + 8*x^3*Log[x/3] + 16*x^6*Log[x/3]^2)),x]","\int \frac{3^{-\frac{2 \left(x^3-x^4\right)}{1+4 x^3 \log \left(\frac{x}{3}\right)}} x^{\frac{2 \left(x^3-x^4\right)}{1+4 x^3 \log \left(\frac{x}{3}\right)}} \left(2 x^2-2 x^3+\left(6 x^2-8 x^3\right) \log \left(\frac{x}{3}\right)-8 x^6 \log ^2\left(\frac{x}{3}\right)\right)}{1+8 x^3 \log \left(\frac{x}{3}\right)+16 x^6 \log ^2\left(\frac{x}{3}\right)} \, dx","e^{\frac{2 (1-x)}{\frac{1}{x^3 \log \left(\frac{x}{3}\right)}+4}}+1",1,"Integrate[(x^((2*(x^3 - x^4))/(1 + 4*x^3*Log[x/3]))*(2*x^2 - 2*x^3 + (6*x^2 - 8*x^3)*Log[x/3] - 8*x^6*Log[x/3]^2))/(3^((2*(x^3 - x^4))/(1 + 4*x^3*Log[x/3]))*(1 + 8*x^3*Log[x/3] + 16*x^6*Log[x/3]^2)), x]","F",-1
7763,1,57,24,0.0309208,"\int \left(1250 x+4500 x^2+4200 x^3+900 x^4+54 x^5+\left(-300 x-990 x^2-792 x^3-90 x^4\right) \log (2)+\left(18 x+54 x^2+36 x^3\right) \log ^2(2)+\left(-300 x-540 x^2-72 x^3+\left(36 x+54 x^2\right) \log (2)\right) \log (4)+18 x \log ^2(4)\right) \, dx","Integrate[1250*x + 4500*x^2 + 4200*x^3 + 900*x^4 + 54*x^5 + (-300*x - 990*x^2 - 792*x^3 - 90*x^4)*Log[2] + (18*x + 54*x^2 + 36*x^3)*Log[2]^2 + (-300*x - 540*x^2 - 72*x^3 + (36*x + 54*x^2)*Log[2])*Log[4] + 18*x*Log[4]^2,x]","x^2 \left(9 x^4-18 x^3 (\log (2)-10)+3 x^2 \left(350+3 \log ^2(2)-66 \log (2)-6 \log (4)\right)+6 x (\log (2)-10) (\log (512)-25)+(\log (512)-25)^2\right)","(2 x+3 x (\log (4)-(x+1) (x+9-\log (2))))^2",1,"x^2*(9*x^4 - 18*x^3*(-10 + Log[2]) + 3*x^2*(350 - 66*Log[2] + 3*Log[2]^2 - 6*Log[4]) + 6*x*(-10 + Log[2])*(-25 + Log[512]) + (-25 + Log[512])^2)","B",1
7764,1,30,26,0.5071171,"\int \exp \left(-40 x^4+20 x^5+\left(-8 x^3+4 x^4\right) \log (2)-4 \log ^2(2)\right) \left(-160 x^3+100 x^4+\left(-24 x^2+16 x^3\right) \log (2)\right) \, dx","Integrate[E^(-40*x^4 + 20*x^5 + (-8*x^3 + 4*x^4)*Log[2] - 4*Log[2]^2)*(-160*x^3 + 100*x^4 + (-24*x^2 + 16*x^3)*Log[2]),x]","2^{4 (x-2) x^3} e^{20 x^5-40 x^4-4 \log ^2(2)}","\exp \left(4 \left((x-2) x^3 (5 x+\log (2))-\log ^2(2)\right)\right)-3",1,"2^(4*(-2 + x)*x^3)*E^(-40*x^4 + 20*x^5 - 4*Log[2]^2)","A",1
7765,1,23,23,0.3339676,"\int \frac{-x^3+\exp \left(e^{\frac{20+20 x+125 x^2+5 x^3}{x^2}}+\frac{20+20 x+125 x^2+5 x^3}{x^2}\right) \left(-40-20 x+5 x^3\right)}{x^3} \, dx","Integrate[(-x^3 + E^(E^((20 + 20*x + 125*x^2 + 5*x^3)/x^2) + (20 + 20*x + 125*x^2 + 5*x^3)/x^2)*(-40 - 20*x + 5*x^3))/x^3,x]","e^{e^{\frac{20}{x^2}+5 x+\frac{20}{x}+125}}-x","e^{e^{5 \left(\frac{(x+2)^2}{x^2}+x+24\right)}}-x-3",1,"E^E^(125 + 20/x^2 + 20/x + 5*x) - x","A",1
7766,1,19,22,0.0033716,"\int \left(2+2 x+e \left(20 x-4 x^3\right)\right) \, dx","Integrate[2 + 2*x + E*(20*x - 4*x^3),x]","-e x^4+(1+10 e) x^2+2 x","-e \left(5-x^2\right)^2-2 x+x (x+4)+3",1,"2*x + (1 + 10*E)*x^2 - E*x^4","A",1
7767,1,17,22,0.0077011,"\int \frac{-32 x+28 x^2+(-16+28 x) \log (16)}{x^2+x \log (16)} \, dx","Integrate[(-32*x + 28*x^2 + (-16 + 28*x)*Log[16])/(x^2 + x*Log[16]),x]","4 (7 x-4 \log (x)-4 \log (x+\log (16)))","4 \left(3 x+4 \left(x-\log \left(-\frac{9}{5} x (x+\log (16))\right)\right)\right)",1,"4*(7*x - 4*Log[x] - 4*Log[x + Log[16]])","A",1
7768,1,18,18,0.2210512,"\int \frac{2-e^x-x-x^2+\left(64 x^2+64 e^x x^2+128 x^3\right) \log ^3\left(-2+e^x+x+x^2\right)}{-2 x^2+e^x x^2+x^3+x^4} \, dx","Integrate[(2 - E^x - x - x^2 + (64*x^2 + 64*E^x*x^2 + 128*x^3)*Log[-2 + E^x + x + x^2]^3)/(-2*x^2 + E^x*x^2 + x^3 + x^4),x]","16 \log ^4\left(x^2+x+e^x-2\right)+\frac{1}{x}","16 \log ^4\left(x^2+x+e^x-2\right)+\frac{1}{x}",1,"x^(-1) + 16*Log[-2 + E^x + x + x^2]^4","A",1
7769,1,33,18,0.0798759,"\int \frac{-2 x^3+\left(4 x^3-8 x \log (3)\right) \log (6 x)+16 x \log (3) \log ^2(6 x)}{\log ^2(3) \log ^3(6 x)} \, dx","Integrate[(-2*x^3 + (4*x^3 - 8*x*Log[3])*Log[6*x] + 16*x*Log[3]*Log[6*x]^2)/(Log[3]^2*Log[6*x]^3),x]","\frac{2 \left(\frac{x^4}{2 \log ^2(6 x)}+\frac{4 x^2 \log (3)}{\log (6 x)}\right)}{\log ^2(3)}","\left(\frac{x^2}{\log (3) \log (6 x)}+4\right)^2",1,"(2*(x^4/(2*Log[6*x]^2) + (4*x^2*Log[3])/Log[6*x]))/Log[3]^2","A",1
7770,1,18,18,0.0245629,"\int \frac{x^2+e^{5+x^2} \left(-120+240 x^2+\left(-20+40 x^2\right) \log (3)\right)}{x^2} \, dx","Integrate[(x^2 + E^(5 + x^2)*(-120 + 240*x^2 + (-20 + 40*x^2)*Log[3]))/x^2,x]","\frac{20 e^{x^2+5} (6+\log (3))}{x}+x","\frac{20 e^{x^2+5} (6+\log (3))}{x}+x",1,"x + (20*E^(5 + x^2)*(6 + Log[3]))/x","A",1
7771,1,36,32,0.1671663,"\int \frac{5 x+e^{\frac{10+x^3}{5 x}} \left(30 x^2-30 x^3-6 x^5+e^5 \left(-10+2 x^3\right)\right)}{25 x^2} \, dx","Integrate[(5*x + E^((10 + x^3)/(5*x))*(30*x^2 - 30*x^3 - 6*x^5 + E^5*(-10 + 2*x^3)))/(25*x^2),x]","\frac{1}{25} \left(e^{\frac{x^2}{5}+\frac{2}{x}} \left(5 e^5-15 x^2\right)+5 \log (x)\right)","\frac{1}{5} \left(e^{\frac{1}{5} \left(x^2+\frac{10}{x}\right)} \left(e^5-3 x^2\right)+\log (x)\right)",1,"(E^(2/x + x^2/5)*(5*E^5 - 15*x^2) + 5*Log[x])/25","A",1
7772,1,22,24,1.5079222,"\int \frac{-800-168 x+e^x \left(400+164 x+16 x^2\right)+\left(-200-40 x+e^x \left(100+40 x+4 x^2\right)\right) \log (5+x)}{40000 x^6+8000 x^7+e^x \left(-40000 x^6-8000 x^7\right)+e^{2 x} \left(10000 x^6+2000 x^7\right)+\left(20000 x^6+4000 x^7+e^x \left(-20000 x^6-4000 x^7\right)+e^{2 x} \left(5000 x^6+1000 x^7\right)\right) \log (5+x)+\left(2500 x^6+500 x^7+e^x \left(-2500 x^6-500 x^7\right)+e^{2 x} \left(625 x^6+125 x^7\right)\right) \log ^2(5+x)} \, dx","Integrate[(-800 - 168*x + E^x*(400 + 164*x + 16*x^2) + (-200 - 40*x + E^x*(100 + 40*x + 4*x^2))*Log[5 + x])/(40000*x^6 + 8000*x^7 + E^x*(-40000*x^6 - 8000*x^7) + E^(2*x)*(10000*x^6 + 2000*x^7) + (20000*x^6 + 4000*x^7 + E^x*(-20000*x^6 - 4000*x^7) + E^(2*x)*(5000*x^6 + 1000*x^7))*Log[5 + x] + (2500*x^6 + 500*x^7 + E^x*(-2500*x^6 - 500*x^7) + E^(2*x)*(625*x^6 + 125*x^7))*Log[5 + x]^2),x]","-\frac{4}{125 \left(e^x-2\right) x^5 (\log (x+5)+4)}","\frac{4}{125 \left(2-e^x\right) x^5 (\log (x+5)+4)}",1,"-4/(125*(-2 + E^x)*x^5*(4 + Log[5 + x]))","A",1
7773,1,25,20,0.3781465,"\int \frac{\exp \left(\frac{8 (-34+3 x+(-10+x) \log (4)+(-3-\log (4)) \log (\log (x)))}{3+\log (4)}\right) (-8+8 x \log (x))}{x \log (x)} \, dx","Integrate[(E^((8*(-34 + 3*x + (-10 + x)*Log[4] + (-3 - Log[4])*Log[Log[x]]))/(3 + Log[4]))*(-8 + 8*x*Log[x]))/(x*Log[x]),x]","\frac{e^{8 x-\frac{16 (17+5 \log (4))}{3+\log (4)}}}{\log ^8(x)}","\frac{e^{8 x-80-\frac{32}{3+\log (4)}}}{\log ^8(x)}",1,"E^(8*x - (16*(17 + 5*Log[4]))/(3 + Log[4]))/Log[x]^8","A",1
7774,1,18,27,0.0057873,"\int \frac{-3+400 e^{e^5}-2 x^2}{x^2} \, dx","Integrate[(-3 + 400*E^E^5 - 2*x^2)/x^2,x]","-2 x-\frac{400 e^{e^5}-3}{x}","16 \left(e^{e^5} \left(3-\frac{25}{x}\right)+4\right)-2 x+\frac{3}{x}+4",1,"-((-3 + 400*E^E^5)/x) - 2*x","A",1
7775,1,22,22,0.0843903,"\int \frac{e^x \left(-15-50 x^2+10 e^{2 x} x^2+\left(15 x+5 e^{2 x} x^2-50 x^3\right) \log \left(\frac{-3-e^{2 x} x+10 x^2}{x}\right)\right)}{3 x+e^{2 x} x^2-10 x^3} \, dx","Integrate[(E^x*(-15 - 50*x^2 + 10*E^(2*x)*x^2 + (15*x + 5*E^(2*x)*x^2 - 50*x^3)*Log[(-3 - E^(2*x)*x + 10*x^2)/x]))/(3*x + E^(2*x)*x^2 - 10*x^3),x]","5 e^x \log \left(10 x-e^{2 x}-\frac{3}{x}\right)","5 e^x \log \left(10 x-e^{2 x}-\frac{3}{x}\right)",1,"5*E^x*Log[-E^(2*x) - 3/x + 10*x]","A",1
7776,1,23,26,0.2097379,"\int \frac{-375 x+15 x^2+\left(10125+10845 x+4925 x^2+1035 x^3+75 x^4-5 x^5\right) \log (-25+x)+\left(-405 x-450 x^2-215 x^3-50 x^4-5 x^5+\left(11250 x+10300 x^2+3320 x^3+350 x^4-20 x^5\right) \log (-25+x)\right) \log (x)}{-25 x+x^2} \, dx","Integrate[(-375*x + 15*x^2 + (10125 + 10845*x + 4925*x^2 + 1035*x^3 + 75*x^4 - 5*x^5)*Log[-25 + x] + (-405*x - 450*x^2 - 215*x^3 - 50*x^4 - 5*x^5 + (11250*x + 10300*x^2 + 3320*x^3 + 350*x^4 - 20*x^5)*Log[-25 + x])*Log[x])/(-25*x + x^2),x]","-5 \left(\left(x^2+5 x+9\right)^2 \log (x-25) \log (x)-3 x\right)","5 \left(3 x+\left(x-(x+3)^2\right)^2 (-\log (x-25)) \log (x)-6\right)",1,"-5*(-3*x + (9 + 5*x + x^2)^2*Log[-25 + x]*Log[x])","A",1
7777,1,33,33,0.006327,"\int \frac{1}{12} \left(15+12 e^x+548 x-348 x^2+48 x^3-8 x \log (x)\right) \, dx","Integrate[(15 + 12*E^x + 548*x - 348*x^2 + 48*x^3 - 8*x*Log[x])/12,x]","x^4-\frac{29 x^3}{3}+23 x^2-\frac{1}{3} x^2 \log (x)+\frac{5 x}{4}+e^x","-\left(x^2 \left(-(x-5)^2+\frac{1}{3} (\log (x)-x)+2\right)\right)+\frac{5 x}{4}+e^x",1,"E^x + (5*x)/4 + 23*x^2 - (29*x^3)/3 + x^4 - (x^2*Log[x])/3","A",1
7778,1,70,32,0.4381107,"\int \frac{48 x^3+3 x^5+\left(-144 x^2-9 x^4\right) \log (x)+\left(144 x+9 x^3\right) \log ^2(x)+\left(-48-3 x^2\right) \log ^3(x)+\exp \left(\frac{2 \left(3 x^2+3 x^4-6 x^3 \log (x)+3 x^2 \log ^2(x)\right)}{x^2-2 x \log (x)+\log ^2(x)}\right) \left(12 x^2+x^3+12 x^5+\left(-15 x^2-36 x^4\right) \log (x)+\left(3 x+36 x^3\right) \log ^2(x)+\left(-1-12 x^2\right) \log ^3(x)\right)+\exp \left(\frac{3 x^2+3 x^4-6 x^3 \log (x)+3 x^2 \log ^2(x)}{x^2-2 x \log (x)+\log ^2(x)}\right) \left(12 x^3+4 x^4+12 x^6+\left(-24 x^3-36 x^5\right) \log (x)+\left(12 x^2+36 x^4\right) \log ^2(x)+\left(-4 x-12 x^3\right) \log ^3(x)\right)}{-16 x^3+48 x^2 \log (x)-48 x \log ^2(x)+16 \log ^3(x)} \, dx","Integrate[(48*x^3 + 3*x^5 + (-144*x^2 - 9*x^4)*Log[x] + (144*x + 9*x^3)*Log[x]^2 + (-48 - 3*x^2)*Log[x]^3 + E^((2*(3*x^2 + 3*x^4 - 6*x^3*Log[x] + 3*x^2*Log[x]^2))/(x^2 - 2*x*Log[x] + Log[x]^2))*(12*x^2 + x^3 + 12*x^5 + (-15*x^2 - 36*x^4)*Log[x] + (3*x + 36*x^3)*Log[x]^2 + (-1 - 12*x^2)*Log[x]^3) + E^((3*x^2 + 3*x^4 - 6*x^3*Log[x] + 3*x^2*Log[x]^2)/(x^2 - 2*x*Log[x] + Log[x]^2))*(12*x^3 + 4*x^4 + 12*x^6 + (-24*x^3 - 36*x^5)*Log[x] + (12*x^2 + 36*x^4)*Log[x]^2 + (-4*x - 12*x^3)*Log[x]^3))/(-16*x^3 + 48*x^2*Log[x] - 48*x*Log[x]^2 + 16*Log[x]^3),x]","-\frac{1}{16} x \left(x^2+2 x e^{3 x^2 \left(\frac{1}{(x-\log (x))^2}+1\right)}+e^{\frac{6 x^2 \left(x^2+\log ^2(x)+1\right)}{(x-\log (x))^2}} x^{-\frac{12 x^3}{(x-\log (x))^2}}+48\right)","x-x \left(\frac{1}{16} \left(x+e^{3 x \left(x+\frac{x}{(x-\log (x))^2}\right)}\right)^2+4\right)",1,"-1/16*(x*(48 + 2*E^(3*x^2*(1 + (x - Log[x])^(-2)))*x + x^2 + E^((6*x^2*(1 + x^2 + Log[x]^2))/(x - Log[x])^2)/x^((12*x^3)/(x - Log[x])^2)))","B",1
7779,1,40,30,0.1337907,"\int \frac{4 x-2 x^2+e^x \left(2 x-4 x^2-2 x^3\right)+e^{2 x} \left(-2 x^2-2 x^3\right)+\left(-2+2 x+e^x \left(2 x+2 x^2\right)\right) \log (x)-16 x^2 \log \left(x^2\right)-8 x^2 \log ^2\left(x^2\right)}{x} \, dx","Integrate[(4*x - 2*x^2 + E^x*(2*x - 4*x^2 - 2*x^3) + E^(2*x)*(-2*x^2 - 2*x^3) + (-2 + 2*x + E^x*(2*x + 2*x^2))*Log[x] - 16*x^2*Log[x^2] - 8*x^2*Log[x^2]^2)/x,x]","-x \left(4 x \log ^2\left(x^2\right)+x \left(e^x+1\right)^2-2\right)-\log ^2(x)+2 \left(e^x+1\right) x \log (x)","-4 x^2 \log ^2\left(x^2\right)+2 x-\left(e^x x+x-\log (x)\right)^2",1,"2*(1 + E^x)*x*Log[x] - Log[x]^2 - x*(-2 + (1 + E^x)^2*x + 4*x*Log[x^2]^2)","A",1
7780,1,43,33,0.1782912,"\int \frac{e^{-x} \left(e^x \left(2 x^2-8 x^3+4 x^4+8 x^5+2 x^6+e^6 \left(2-4 x^2+2 x^4\right)+e^3 \left(-4 x+8 x^2+8 x^3-8 x^4-4 x^5\right)\right)+\left(x^2-x^3+3 x^4+x^5+e^6 \left(1-x+x^2+x^3\right)+e^3 \left(-2 x-4 x^3-2 x^4\right)\right) \log (4)\right)}{x^2-4 x^3+2 x^4+4 x^5+x^6+e^6 \left(1-2 x^2+x^4\right)+e^3 \left(-2 x+4 x^2+4 x^3-4 x^4-2 x^5\right)} \, dx","Integrate[(E^x*(2*x^2 - 8*x^3 + 4*x^4 + 8*x^5 + 2*x^6 + E^6*(2 - 4*x^2 + 2*x^4) + E^3*(-4*x + 8*x^2 + 8*x^3 - 8*x^4 - 4*x^5)) + (x^2 - x^3 + 3*x^4 + x^5 + E^6*(1 - x + x^2 + x^3) + E^3*(-2*x - 4*x^3 - 2*x^4))*Log[4])/(E^x*(x^2 - 4*x^3 + 2*x^4 + 4*x^5 + x^6 + E^6*(1 - 2*x^2 + x^4) + E^3*(-2*x + 4*x^2 + 4*x^3 - 4*x^4 - 2*x^5))),x]","x \left(2-\frac{e^{-x} \left(e^3-x\right) \log (4)}{e^3 \left(x^2-1\right)-x \left(x^2+2 x-1\right)}\right)","2 x+\frac{e^{-x} \log (4)}{\frac{2 x}{e^3-x}-x+\frac{1}{x}}",1,"x*(2 - ((E^3 - x)*Log[4])/(E^x*(E^3*(-1 + x^2) - x*(-1 + 2*x + x^2))))","A",1
7781,1,38,32,0.2653814,"\int \frac{10 e^x+e^{2 x-x^2+\frac{1}{10} \left(-30+e^{2 x-x^2} x\right)} \left(-1-2 x+2 x^2\right)}{20 e^{2 x}+20 e^{\frac{1}{5} \left(-30+e^{2 x-x^2} x\right)}-40 e^x \log (2)+20 \log ^2(2)+e^{\frac{1}{10} \left(-30+e^{2 x-x^2} x\right)} \left(-40 e^x+40 \log (2)\right)} \, dx","Integrate[(10*E^x + E^(2*x - x^2 + (-30 + E^(2*x - x^2)*x)/10)*(-1 - 2*x + 2*x^2))/(20*E^(2*x) + 20*E^((-30 + E^(2*x - x^2)*x)/5) - 40*E^x*Log[2] + 20*Log[2]^2 + E^((-30 + E^(2*x - x^2)*x)/10)*(-40*E^x + 40*Log[2])),x]","\frac{e^3}{2 \left(e^{\frac{1}{10} e^{-((x-2) x)} x}-e^{x+3}+e^3 \log (2)\right)}","\frac{1}{2 \left(-e^x+e^{\frac{1}{10} e^{(2-x) x} x-3}+\log (2)\right)}",1,"E^3/(2*(E^(x/(10*E^((-2 + x)*x))) - E^(3 + x) + E^3*Log[2]))","A",1
7782,1,18,21,0.0166287,"\int \frac{-2+e^{27+x} \left(x-x^2\right)}{9 x^3} \, dx","Integrate[(-2 + E^(27 + x)*(x - x^2))/(9*x^3),x]","\frac{1}{9} \left(\frac{1}{x^2}-\frac{e^{x+27}}{x}\right)","\frac{-x-e^{x+27}+\frac{1}{x}}{9 x}",1,"(x^(-2) - E^(27 + x)/x)/9","A",1
7783,1,6,27,0.0008066,"\int \frac{2}{3+x} \, dx","Integrate[2/(3 + x),x]","2 \log (x+3)","\log \left(\frac{4 (x+3)^2}{3 x \left(4-\frac{4 x-1}{x}\right)}\right)",1,"2*Log[3 + x]","A",1
7784,0,0,20,1.5710664,"\int \frac{390625 \log (x)-x \log ^2(x)+\left(390625+x \log ^2(x)\right) \log (x \log (3))+x \log ^2(x) \log ^2(x \log (3))}{\left(-390625 x \log (x)+x^2 \log ^2(x)\right) \log (x \log (3))+\left(x+x^2\right) \log ^2(x) \log ^2(x \log (3))} \, dx","Integrate[(390625*Log[x] - x*Log[x]^2 + (390625 + x*Log[x]^2)*Log[x*Log[3]] + x*Log[x]^2*Log[x*Log[3]]^2)/((-390625*x*Log[x] + x^2*Log[x]^2)*Log[x*Log[3]] + (x + x^2)*Log[x]^2*Log[x*Log[3]]^2),x]","\int \frac{390625 \log (x)-x \log ^2(x)+\left(390625+x \log ^2(x)\right) \log (x \log (3))+x \log ^2(x) \log ^2(x \log (3))}{\left(-390625 x \log (x)+x^2 \log ^2(x)\right) \log (x \log (3))+\left(x+x^2\right) \log ^2(x) \log ^2(x \log (3))} \, dx","\log \left(x+\frac{x-\frac{390625}{\log (x)}}{\log (x \log (3))}+1\right)",1,"Integrate[(390625*Log[x] - x*Log[x]^2 + (390625 + x*Log[x]^2)*Log[x*Log[3]] + x*Log[x]^2*Log[x*Log[3]]^2)/((-390625*x*Log[x] + x^2*Log[x]^2)*Log[x*Log[3]] + (x + x^2)*Log[x]^2*Log[x*Log[3]]^2), x]","F",-1
7785,1,23,25,1.6229697,"\int \frac{e^{-4 x^2} \left(e^{4 x^2} \log ^2(x)+e^{\frac{e^{-4 x^2} x}{\log (x)}} \left(31+5 x+\left(-31-5 x+248 x^2+40 x^3\right) \log (x)-5 e^{4 x^2} \log ^2(x)\right)\right)}{\log ^2(x)} \, dx","Integrate[(E^(4*x^2)*Log[x]^2 + E^(x/(E^(4*x^2)*Log[x]))*(31 + 5*x + (-31 - 5*x + 248*x^2 + 40*x^3)*Log[x] - 5*E^(4*x^2)*Log[x]^2))/(E^(4*x^2)*Log[x]^2),x]","(-5 x-31) e^{\frac{e^{-4 x^2} x}{\log (x)}}+x","(4-5 (x+7)) e^{\frac{e^{-4 x^2} x}{\log (x)}}+x",1,"E^(x/(E^(4*x^2)*Log[x]))*(-31 - 5*x) + x","A",1
7786,1,36,29,0.376805,"\int \frac{-x^3+e^{2 x} \left(4 x^2-4 \log (2)\right)+x \log (2)+e^{2 x} \left(-8-8 x+48 x^2\right) \log \left(-\frac{x}{4 e^{2 x}-x}\right)+\left(4 e^{2 x}-x\right) \log ^2\left(-\frac{x}{4 e^{2 x}-x}\right)}{4 e^{2 x} x^2-x^3} \, dx","Integrate[(-x^3 + E^(2*x)*(4*x^2 - 4*Log[2]) + x*Log[2] + E^(2*x)*(-8 - 8*x + 48*x^2)*Log[-(x/(4*E^(2*x) - x))] + (4*E^(2*x) - x)*Log[-(x/(4*E^(2*x) - x))]^2)/(4*E^(2*x)*x^2 - x^3),x]","x+\frac{(-3 x-1) \log ^2\left(-\frac{x}{4 e^{2 x}-x}\right)}{x}+\frac{\log (2)}{x}","x+\left(\frac{1}{x}+3\right) \left(\log (2)-\log ^2\left(\frac{x}{x-4 e^{2 x}}\right)\right)",1,"x + Log[2]/x + ((-1 - 3*x)*Log[-(x/(4*E^(2*x) - x))]^2)/x","A",1
7787,1,44,22,0.0121726,"\int \frac{121+22 x+4 x^2+(-22-2 x) \log (2)+\log ^2(2)+\left(-121+x^2+22 \log (2)-\log ^2(2)\right) \log (x)}{x^2} \, dx","Integrate[(121 + 22*x + 4*x^2 + (-22 - 2*x)*Log[2] + Log[2]^2 + (-121 + x^2 + 22*Log[2] - Log[2]^2)*Log[x])/x^2,x]","3 x+\frac{\log ^2(2) \log (x)}{x}+x \log (x)-2 \log (2) \log (x)+22 \log (x)-\frac{22 \log (2) \log (x)}{x}+\frac{121 \log (x)}{x}","x \left(\frac{\log (x) (x+11-\log (2))^2}{x^2}+2\right)+x+5",1,"3*x + 22*Log[x] + (121*Log[x])/x + x*Log[x] - 2*Log[2]*Log[x] - (22*Log[2]*Log[x])/x + (Log[2]^2*Log[x])/x","A",1
7788,1,27,26,0.939873,"\int \frac{\left(5+e^{(7-x) \log ^2(x)} \left(-1+(14-2 x) \log (x)-x \log ^2(x)\right)\right) \log (\log (\log (5)))}{25-10 e^{(7-x) \log ^2(x)}+e^{2 (7-x) \log ^2(x)}} \, dx","Integrate[((5 + E^((7 - x)*Log[x]^2)*(-1 + (14 - 2*x)*Log[x] - x*Log[x]^2))*Log[Log[Log[5]]])/(25 - 10*E^((7 - x)*Log[x]^2) + E^(2*(7 - x)*Log[x]^2)),x]","\frac{1}{5} x \log (\log (\log (5))) \left(\frac{1}{5 e^{(x-7) \log ^2(x)}-1}+1\right)","\frac{x \log (\log (\log (5)))}{5-e^{(7-x) \log ^2(x)}}-1",1,"((1 + (-1 + 5*E^((-7 + x)*Log[x]^2))^(-1))*x*Log[Log[Log[5]]])/5","A",1
7789,1,19,19,0.230633,"\int x^{35+609 x+2650 x^2+625 x^3+e^2 (4+x)} \left(72+1218 x+5300 x^2+1250 x^3+e^2 (8+2 x)+\left(1218 x+2 e^2 x+10600 x^2+3750 x^3\right) \log (x)\right) \, dx","Integrate[x^(35 + 609*x + 2650*x^2 + 625*x^3 + E^2*(4 + x))*(72 + 1218*x + 5300*x^2 + 1250*x^3 + E^2*(8 + 2*x) + (1218*x + 2*E^2*x + 10600*x^2 + 3750*x^3)*Log[x]),x]","2 x^{(x+4) \left((25 x+3)^2+e^2\right)}","2 x^{(x+4) \left((25 x+3)^2+e^2\right)}",1,"2*x^((4 + x)*(E^2 + (3 + 25*x)^2))","A",1
7790,1,26,30,0.1427555,"\int \frac{18 x+20 x^2+4 x^3+2 x^4+e^x \left(-18 x^2-2 x^3-2 x^4\right)+\frac{1}{5} e^4 \left(-9 x-x^2-x^3\right) \left(-9-11 x-4 x^2-x^3+e^x \left(9 x+x^2+x^3\right)\right)}{-18 x^2-2 x^3-2 x^4+\frac{1}{5} e^4 \left(-9 x-x^2-x^3\right) \left(9 x+x^2+x^3\right)} \, dx","Integrate[(18*x + 20*x^2 + 4*x^3 + 2*x^4 + E^x*(-18*x^2 - 2*x^3 - 2*x^4) + (E^4*(-9*x - x^2 - x^3)*(-9 - 11*x - 4*x^2 - x^3 + E^x*(9*x + x^2 + x^3)))/5)/(-18*x^2 - 2*x^3 - 2*x^4 + (E^4*(-9*x - x^2 - x^3)*(9*x + x^2 + x^3))/5),x]","-\log \left(e^4 \left(x^2+x+9\right)+10\right)-x+e^x-\log (x)","-x+e^x-\log \left(e^4 x \left(x-\frac{1}{5} (x+3)^2\right)-2 x\right)",1,"E^x - x - Log[x] - Log[10 + E^4*(9 + x + x^2)]","A",1
7791,1,29,28,0.0747308,"\int \frac{1}{5} e^{-\frac{-1+e^{23} x}{e^{23}}} \left(20+e^{\frac{-1+e^{23} x}{e^{23}}} \left(5+e^{\frac{1}{5} \left(-5 e^4 x+x^2\right)} \left(-5 e^4+2 x\right)\right)\right) \, dx","Integrate[(20 + E^((-1 + E^23*x)/E^23)*(5 + E^((-5*E^4*x + x^2)/5)*(-5*E^4 + 2*x)))/(5*E^((-1 + E^23*x)/E^23)),x]","e^{\frac{x^2}{5}-e^4 x}+x-4 e^{\frac{1}{e^{23}}-x}","x-4 e^{\frac{1}{e^{23}}-x}+e^{\left(\frac{x}{5}-e^4\right) x}",1,"-4*E^(E^(-23) - x) + E^(-(E^4*x) + x^2/5) + x","A",1
7792,1,16,20,0.0166921,"\int \frac{-6 e^x+e^x (-11+3 x) \log \left(121-66 x+9 x^2\right)}{e^{25} (-11+3 x) \log ^2\left(121-66 x+9 x^2\right)} \, dx","Integrate[(-6*E^x + E^x*(-11 + 3*x)*Log[121 - 66*x + 9*x^2])/(E^25*(-11 + 3*x)*Log[121 - 66*x + 9*x^2]^2),x]","\frac{e^{x-25}}{\log \left((11-3 x)^2\right)}","\frac{e^{x-25}}{\log \left((3 (3-x)+2)^2\right)}",1,"E^(-25 + x)/Log[(11 - 3*x)^2]","A",1
7793,1,54,27,0.2360904,"\int \frac{-3 x^3+\left(10 x^3-x^4\right) \log (x)+(-5+5 x) \log ^2(x)+\log \left(-\frac{e^x}{4 x}\right) \left(-x^3+3 x^3 \log (x)\right)}{x^7-10 x^4 \log (x)+25 x \log ^2(x)} \, dx","Integrate[(-3*x^3 + (10*x^3 - x^4)*Log[x] + (-5 + 5*x)*Log[x]^2 + Log[-1/4*E^x/x]*(-x^3 + 3*x^3*Log[x]))/(x^7 - 10*x^4*Log[x] + 25*x*Log[x]^2),x]","\frac{(x-3) x^3-x^3 \log \left(-\frac{e^x}{4 x}\right)-\left(x^2+5\right) x \log (x)+5 \log ^2(x)}{5 \left(x^3-5 \log (x)\right)}","\frac{\log \left(-\frac{e^x}{4 x}\right)+3}{5-\frac{x^3}{\log (x)}}",1,"((-3 + x)*x^3 - x^3*Log[-1/4*E^x/x] - x*(5 + x^2)*Log[x] + 5*Log[x]^2)/(5*(x^3 - 5*Log[x]))","A",1
7794,1,19,24,1.2761022,"\int \frac{\exp \left(\frac{2 x-6 x^2+(-2+3 x) \log (x)}{-2 x^2+x \log (x)}\right) \left(2 x+4 x^2-8 x \log (x)+2 \log ^2(x)\right)}{4 x^4-4 x^3 \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(E^((2*x - 6*x^2 + (-2 + 3*x)*Log[x])/(-2*x^2 + x*Log[x]))*(2*x + 4*x^2 - 8*x*Log[x] + 2*Log[x]^2))/(4*x^4 - 4*x^3*Log[x] + x^2*Log[x]^2),x]","e^{-\frac{2}{x}-\frac{2}{\log (x)-2 x}+3}","e^{\frac{x+\frac{\log (x)}{2 x-\log (x)}-1}{x}+2}",1,"E^(3 - 2/x - 2/(-2*x + Log[x]))","A",1
7795,1,23,23,0.0546173,"\int \frac{-9+9 x^2+e^{2 x^2+2 x^3} \left(x^2+4 x^4+6 x^5\right)+9 x^2 \log (x)}{9 x^2} \, dx","Integrate[(-9 + 9*x^2 + E^(2*x^2 + 2*x^3)*(x^2 + 4*x^4 + 6*x^5) + 9*x^2*Log[x])/(9*x^2),x]","\frac{1}{9} e^{2 x^2 (x+1)} x+\frac{1}{x}+x \log (x)","x \left(\frac{1}{9} e^{2 x^2 (x+1)}+\log (x)\right)+\frac{1}{x}",1,"x^(-1) + (E^(2*x^2*(1 + x))*x)/9 + x*Log[x]","A",1
7796,1,55,27,0.2173501,"\int \frac{-15-10 x+x^2+e^{e^{-10+6 e^{10}}-2 e^{-5+3 e^{10}} x+x^2} \left(3+2 x-6 x^2-2 x^3+e^{-5+3 e^{10}} \left(6 x+2 x^2\right)\right)}{25+\exp \left(2 e^{-10+6 e^{10}}-4 e^{-5+3 e^{10}} x+2 x^2\right)-10 x+x^2+e^{e^{-10+6 e^{10}}-2 e^{-5+3 e^{10}} x+x^2} (-10+2 x)} \, dx","Integrate[(-15 - 10*x + x^2 + E^(E^(-10 + 6*E^10) - 2*E^(-5 + 3*E^10)*x + x^2)*(3 + 2*x - 6*x^2 - 2*x^3 + E^(-5 + 3*E^10)*(6*x + 2*x^2)))/(25 + E^(2*E^(-10 + 6*E^10) - 4*E^(-5 + 3*E^10)*x + 2*x^2) - 10*x + x^2 + E^(E^(-10 + 6*E^10) - 2*E^(-5 + 3*E^10)*x + x^2)*(-10 + 2*x)),x]","\frac{e^{2 e^{3 e^{10}-5} x} x (x+3)}{e^{x^2+e^{6 e^{10}-10}}+e^{2 e^{3 e^{10}-5} x} (x-5)}","\frac{x (x+3)}{x+e^{\left(x-e^{3 e^{10}-5}\right)^2}-5}",1,"(E^(2*E^(-5 + 3*E^10)*x)*x*(3 + x))/(E^(E^(-10 + 6*E^10) + x^2) + E^(2*E^(-5 + 3*E^10)*x)*(-5 + x))","B",1
7797,1,22,25,0.0552481,"\int \frac{4+x-2 x \log \left(\frac{-5 x-5 e^5 x+\left(2 x+2 e^5 x\right) \log (2)}{2 \log (2)}\right)}{64 x+48 x^2+12 x^3+x^4} \, dx","Integrate[(4 + x - 2*x*Log[(-5*x - 5*E^5*x + (2*x + 2*E^5*x)*Log[2])/(2*Log[2])])/(64*x + 48*x^2 + 12*x^3 + x^4),x]","\frac{\log \left(\frac{\left(1+e^5\right) x (\log (4)-5)}{\log (4)}\right)}{(x+4)^2}","\frac{\log \left(\frac{1}{2} \left(1+e^5\right) x \left(2-\frac{5}{\log (2)}\right)\right)}{(x+4)^2}",1,"Log[((1 + E^5)*x*(-5 + Log[4]))/Log[4]]/(4 + x)^2","A",1
7798,1,22,26,0.382295,"\int \frac{4 x^2+e^{\frac{-4+x-x^2}{x}} \left(-16+4 x^2\right)+\left(e^{\frac{-4+x-x^2}{x}} x^2-x^3\right) \log \left(e^{\frac{-4+x-x^2}{x}}-x\right)}{\left(e^{\frac{-4+x-x^2}{x}} x^2-x^3\right) \log \left(e^{\frac{-4+x-x^2}{x}}-x\right)} \, dx","Integrate[(4*x^2 + E^((-4 + x - x^2)/x)*(-16 + 4*x^2) + (E^((-4 + x - x^2)/x)*x^2 - x^3)*Log[E^((-4 + x - x^2)/x) - x])/((E^((-4 + x - x^2)/x)*x^2 - x^3)*Log[E^((-4 + x - x^2)/x) - x]),x]","x-4 \log \left(\log \left(e^{-x-\frac{4}{x}+1}-x\right)\right)","x-\log \left(\log ^4\left(e^{\frac{-x^2+x-4}{x}}-x\right)\right)",1,"x - 4*Log[Log[E^(1 - 4/x - x) - x]]","A",1
7799,1,14,20,0.0051423,"\int \frac{1}{2} \left(-1+e^x (-3-3 x)\right) \, dx","Integrate[(-1 + E^x*(-3 - 3*x))/2,x]","\frac{1}{2} \left(-3 e^x x-x\right)","\frac{1}{2} \left(-3 e^x x-x-e^7+5\right)",1,"(-x - 3*E^x*x)/2","A",1
7800,1,19,21,0.1552642,"\int \frac{\left(-34-34 x+e^4 \left(2 x+2 x^2\right)\right) \log \left(e^5 x\right)+\left(34 x+e^4 \left(x-x^2\right)\right) \log ^2\left(e^5 x\right)}{x+3 x^2+3 x^3+x^4} \, dx","Integrate[((-34 - 34*x + E^4*(2*x + 2*x^2))*Log[E^5*x] + (34*x + E^4*(x - x^2))*Log[E^5*x]^2)/(x + 3*x^2 + 3*x^3 + x^4),x]","\frac{\left(e^4 x-17\right) (\log (x)+5)^2}{(x+1)^2}","\frac{\left(e^4 x-17\right) \log ^2\left(e^5 x\right)}{(x+1)^2}",1,"((-17 + E^4*x)*(5 + Log[x])^2)/(1 + x)^2","A",1
7801,1,30,31,0.0675805,"\int \frac{1}{5} e^{-3-e^{e^{-4+x}}} \left(6 e^{-4+e^{-4+x}+x} \log (4)+e^{e^{1+x}} \left(10 e^{1+x} \log (4)-10 e^{-4+e^{-4+x}+x} \log (4)\right)\right) \, dx","Integrate[(E^(-3 - E^E^(-4 + x))*(6*E^(-4 + E^(-4 + x) + x)*Log[4] + E^E^(1 + x)*(10*E^(1 + x)*Log[4] - 10*E^(-4 + E^(-4 + x) + x)*Log[4])))/5,x]","\frac{2}{5} e^{-e^{e^{x-4}}-3} \left(5 e^{e^{x+1}}-3\right) \log (4)","2 \left(e^{-e^{e^{x-4}}-3} \left(e^{e^{x+1}}-\frac{3}{5}\right) \log (4)+2\right)",1,"(2*E^(-3 - E^E^(-4 + x))*(-3 + 5*E^E^(1 + x))*Log[4])/5","A",1
7802,1,38,27,0.6171363,"\int \frac{\left(1-32 x+256 x^2\right) \log ^2(x)+\exp \left(\frac{-16 x^3+\left(-64 x-16 x^2\right) \log (x)}{(-1+16 x) \log (x)}\right) \left(-16 x^2+256 x^3+\left(48 x^2-512 x^3\right) \log (x)+\left(64+32 x-256 x^2\right) \log ^2(x)\right)}{\left(1-32 x+256 x^2\right) \log ^2(x)} \, dx","Integrate[((1 - 32*x + 256*x^2)*Log[x]^2 + E^((-16*x^3 + (-64*x - 16*x^2)*Log[x])/((-1 + 16*x)*Log[x]))*(-16*x^2 + 256*x^3 + (48*x^2 - 512*x^3)*Log[x] + (64 + 32*x - 256*x^2)*Log[x]^2))/((1 - 32*x + 256*x^2)*Log[x]^2),x]","\exp \left(-\frac{16 x^3}{(16 x-1) \log (x)}-x-\frac{65}{16 (16 x-1)}-\frac{65}{16}\right)+x","e^{\frac{\frac{x^2}{\log (x)}+x+4}{\frac{1}{16 x}-1}}+x",1,"E^(-65/16 - x - 65/(16*(-1 + 16*x)) - (16*x^3)/((-1 + 16*x)*Log[x])) + x","A",1
7803,1,28,31,0.0377779,"\int \frac{-4 \log \left(e^{-x/4} x\right)+\left(e^5 \left(4 x^2-x^3\right)-4 e^5 x^2 \log \left(e^{-x/4} x\right)\right) \log \left(\frac{3 x}{\log \left(e^{-x/4} x\right)}\right)}{2 e^5 x^3 \log \left(e^{-x/4} x\right)} \, dx","Integrate[(-4*Log[x/E^(x/4)] + (E^5*(4*x^2 - x^3) - 4*E^5*x^2*Log[x/E^(x/4)])*Log[(3*x)/Log[x/E^(x/4)]])/(2*E^5*x^3*Log[x/E^(x/4)]),x]","\frac{1}{e^5 x^2}-\log ^2\left(\frac{3 x}{\log \left(e^{-x/4} x\right)}\right)","\frac{1}{e^5 x^2}-\log ^2\left(\frac{3 x}{\log \left(e^{-x/4} x\right)}\right)+e^5",1,"1/(E^5*x^2) - Log[(3*x)/Log[x/E^(x/4)]]^2","A",1
7804,1,15,20,0.0108129,"\int -\frac{216 \log (\log (1-x))}{(-81+81 x) \log (1-x)+(-18+18 x) \log (1-x) \log ^2(\log (1-x))+(-1+x) \log (1-x) \log ^4(\log (1-x))} \, dx","Integrate[(-216*Log[Log[1 - x]])/((-81 + 81*x)*Log[1 - x] + (-18 + 18*x)*Log[1 - x]*Log[Log[1 - x]]^2 + (-1 + x)*Log[1 - x]*Log[Log[1 - x]]^4),x]","\frac{108}{\log ^2(\log (1-x))+9}","\frac{108 x}{x+x \left(\log ^2(\log (1-x))+8\right)}",1,"108/(9 + Log[Log[1 - x]]^2)","A",1
7805,1,45,31,0.0584505,"\int \frac{-7-e^{12}+36 x-111 x^2+66 x^3+12 x^4-24 x^5+53 x^6-42 x^7+20 x^9-15 x^{10}+6 x^{11}-x^{12}+e^8 \left(-9-3 x^2+6 x^3-3 x^4\right)+e^4 \left(-15-6 x^2+3 x^4+12 x^5-18 x^6+12 x^7-3 x^8\right)}{1+e^{12}+3 x^2-6 x^3+6 x^4-12 x^5+19 x^6-18 x^7+18 x^8-20 x^9+15 x^{10}-6 x^{11}+x^{12}+e^8 \left(3+3 x^2-6 x^3+3 x^4\right)+e^4 \left(3+6 x^2-12 x^3+9 x^4-12 x^5+18 x^6-12 x^7+3 x^8\right)} \, dx","Integrate[(-7 - E^12 + 36*x - 111*x^2 + 66*x^3 + 12*x^4 - 24*x^5 + 53*x^6 - 42*x^7 + 20*x^9 - 15*x^10 + 6*x^11 - x^12 + E^8*(-9 - 3*x^2 + 6*x^3 - 3*x^4) + E^4*(-15 - 6*x^2 + 3*x^4 + 12*x^5 - 18*x^6 + 12*x^7 - 3*x^8))/(1 + E^12 + 3*x^2 - 6*x^3 + 6*x^4 - 12*x^5 + 19*x^6 - 18*x^7 + 18*x^8 - 20*x^9 + 15*x^10 - 6*x^11 + x^12 + E^8*(3 + 3*x^2 - 6*x^3 + 3*x^4) + E^4*(3 + 6*x^2 - 12*x^3 + 9*x^4 - 12*x^5 + 18*x^6 - 12*x^7 + 3*x^8)),x]","-\frac{6 x}{x^4-2 x^3+x^2+e^4+1}-\frac{9}{\left(x^4-2 x^3+x^2+e^4+1\right)^2}-x","x^2-\left(\frac{3}{\left(x^2-x\right)^2+e^4+1}+x\right)^2-x",1,"-x - 9/(1 + E^4 + x^2 - 2*x^3 + x^4)^2 - (6*x)/(1 + E^4 + x^2 - 2*x^3 + x^4)","A",1
7806,1,35,31,0.0037341,"\int \frac{1}{10} \left(10-39 x+9 x^2-4 x^3+2 x \log \left(\frac{x}{\log ^2(4)}\right)\right) \, dx","Integrate[(10 - 39*x + 9*x^2 - 4*x^3 + 2*x*Log[x/Log[4]^2])/10,x]","-\frac{x^4}{10}+\frac{3 x^3}{10}-2 x^2+\frac{1}{10} x^2 \log \left(\frac{x}{\log ^2(4)}\right)+x","x-\frac{1}{2} x^2 \left(\frac{1}{5} \left(x^2-3 x-\log \left(\frac{x}{\log ^2(4)}\right)\right)+4\right)",1,"x - 2*x^2 + (3*x^3)/10 - x^4/10 + (x^2*Log[x/Log[4]^2])/10","A",1
7807,1,10,13,0.0009649,"\int \frac{4+x}{8 x} \, dx","Integrate[(4 + x)/(8*x),x]","\frac{1}{8} (x+4 \log (x))","\frac{1}{8} (x+4 (\log (x)+8)+5)",1,"(x + 4*Log[x])/8","A",1
7808,1,24,19,0.0337101,"\int \left(-32 x+12 x^2+16 x^3+e^{2 x} \left(2 x+2 x^2\right)+e^x \left(-12 x^2-4 x^3\right)\right) \, dx","Integrate[-32*x + 12*x^2 + 16*x^3 + E^(2*x)*(2*x + 2*x^2) + E^x*(-12*x^2 - 4*x^3),x]","x^2 \left(4 \left(x^2+x-4\right)-4 e^x x+e^{2 x}\right)","4 x^2 \left(\left(x-\frac{e^x}{2}\right)^2+x-4\right)",1,"x^2*(E^(2*x) - 4*E^x*x + 4*(-4 + x + x^2))","A",1
7809,1,34,33,0.0925682,"\int \frac{\exp \left(e^{25 x^2 \log ^2\left(\frac{e^3-x}{1+e^3-x}\right)}+25 x^2 \log ^2\left(\frac{e^3-x}{1+e^3-x}\right)\right) \left(-25 x^2 \log \left(\frac{e^3-x}{1+e^3-x}\right)+\left(25 e^6 x-25 x^2+25 x^3+e^3 \left(25 x-50 x^2\right)\right) \log ^2\left(\frac{e^3-x}{1+e^3-x}\right)\right)}{8 e^6+e^3 (8-16 x)-8 x+8 x^2} \, dx","Integrate[(E^(E^(25*x^2*Log[(E^3 - x)/(1 + E^3 - x)]^2) + 25*x^2*Log[(E^3 - x)/(1 + E^3 - x)]^2)*(-25*x^2*Log[(E^3 - x)/(1 + E^3 - x)] + (25*E^6*x - 25*x^2 + 25*x^3 + E^3*(25*x - 50*x^2))*Log[(E^3 - x)/(1 + E^3 - x)]^2))/(8*E^6 + E^3*(8 - 16*x) - 8*x + 8*x^2),x]","\frac{1}{16} e^{e^{25 x^2 \log ^2\left(\frac{e^3-x}{-x+e^3+1}\right)}}","\frac{1}{16} e^{e^{25 x^2 \log ^2\left(\frac{x}{\frac{x}{e^3-x}+x}\right)}}",1,"E^E^(25*x^2*Log[(E^3 - x)/(1 + E^3 - x)]^2)/16","A",1
7810,1,24,31,0.0837788,"\int \frac{3-4 x+\left(2 x-2 x^2\right) \log \left(\frac{e^2}{-x^3+x^4}\right)+(1-x) \log \left(\frac{e^2}{-x^3+x^4}\right) \log \left(e^{-2 x} \log \left(\frac{e^2}{-x^3+x^4}\right)\right)}{(-1+x) \log \left(\frac{e^2}{-x^3+x^4}\right) \log ^2\left(e^{-2 x} \log \left(\frac{e^2}{-x^3+x^4}\right)\right)} \, dx","Integrate[(3 - 4*x + (2*x - 2*x^2)*Log[E^2/(-x^3 + x^4)] + (1 - x)*Log[E^2/(-x^3 + x^4)]*Log[Log[E^2/(-x^3 + x^4)]/E^(2*x)])/((-1 + x)*Log[E^2/(-x^3 + x^4)]*Log[Log[E^2/(-x^3 + x^4)]/E^(2*x)]^2),x]","-\frac{x}{\log \left(e^{-2 x} \left(\log \left(\frac{1}{(x-1) x^3}\right)+2\right)\right)}","1-\frac{x}{\log \left(e^{-2 x} \log \left(\frac{e^2}{x^2 \left(x^2-x\right)}\right)\right)}",1,"-(x/Log[(2 + Log[1/((-1 + x)*x^3)])/E^(2*x)])","A",1
7811,1,19,17,0.3978626,"\int \frac{9+576 x+\left(x+72 x^2\right) \log (4)+\left(144 x+16 x^2 \log (4)\right) \log (9+x \log (4))}{9 x+288 x^2+\left(x^2+32 x^3\right) \log (4)+\left(72 x^2+8 x^3 \log (4)\right) \log (9+x \log (4))} \, dx","Integrate[(9 + 576*x + (x + 72*x^2)*Log[4] + (144*x + 16*x^2*Log[4])*Log[9 + x*Log[4]])/(9*x + 288*x^2 + (x^2 + 32*x^3)*Log[4] + (72*x^2 + 8*x^3*Log[4])*Log[9 + x*Log[4]]),x]","\log (x)+\log (32 x+8 x \log (x \log (4)+9)+1)","\log \left(8 x^2 (\log (x \log (4)+9)+4)+x\right)",1,"Log[x] + Log[1 + 32*x + 8*x*Log[9 + x*Log[4]]]","A",1
7812,1,13,21,0.0148713,"\int \frac{1+\left(-3 x-2 x^2\right) \log (x) \log (\log (x))}{x \log (x) \log (\log (x))} \, dx","Integrate[(1 + (-3*x - 2*x^2)*Log[x]*Log[Log[x]])/(x*Log[x]*Log[Log[x]]),x]","-x^2-3 x+\log (\log (\log (x)))","-(-x-1)^2-x+\log (\log (\log (x)))+e^3+2",1,"-3*x - x^2 + Log[Log[Log[x]]]","A",1
7813,1,5,28,0.0003585,"\int 5 e^x \, dx","Integrate[5*E^x,x]","5 e^x","5 \left(e^x+\frac{e^5}{\left(\log \left(\frac{e^{10}}{16}-4\right)+i \pi \right)^2}\right)",1,"5*E^x","A",1
7814,0,0,20,0.4459373,"\int \frac{-4+3 x+x^2+(-4-x) \log (4+x)+\left(-6 x^3-2 x^4\right) \log (1-x+\log (4+x))+\left(12 x^2-9 x^3-3 x^4+\left(12 x^2+3 x^3\right) \log (4+x)\right) \log ^2(1-x+\log (4+x))}{4-3 x-x^2+(4+x) \log (4+x)} \, dx","Integrate[(-4 + 3*x + x^2 + (-4 - x)*Log[4 + x] + (-6*x^3 - 2*x^4)*Log[1 - x + Log[4 + x]] + (12*x^2 - 9*x^3 - 3*x^4 + (12*x^2 + 3*x^3)*Log[4 + x])*Log[1 - x + Log[4 + x]]^2)/(4 - 3*x - x^2 + (4 + x)*Log[4 + x]),x]","\int \frac{-4+3 x+x^2+(-4-x) \log (4+x)+\left(-6 x^3-2 x^4\right) \log (1-x+\log (4+x))+\left(12 x^2-9 x^3-3 x^4+\left(12 x^2+3 x^3\right) \log (4+x)\right) \log ^2(1-x+\log (4+x))}{4-3 x-x^2+(4+x) \log (4+x)} \, dx","x^3 \log ^2(-x+\log (x+4)+1)-x",1,"Integrate[(-4 + 3*x + x^2 + (-4 - x)*Log[4 + x] + (-6*x^3 - 2*x^4)*Log[1 - x + Log[4 + x]] + (12*x^2 - 9*x^3 - 3*x^4 + (12*x^2 + 3*x^3)*Log[4 + x])*Log[1 - x + Log[4 + x]]^2)/(4 - 3*x - x^2 + (4 + x)*Log[4 + x]), x]","F",-1
7815,1,28,27,0.0049575,"\int \frac{1}{10} \left(-9+54 x-108 x^2+e (-18+48 x)\right) \, dx","Integrate[(-9 + 54*x - 108*x^2 + E*(-18 + 48*x))/10,x]","\frac{3}{10} \left(-12 x^3+8 e x^2+9 x^2-6 e x-3 x\right)","\frac{3}{10} \left((1-2 x)^2+x\right) \left(\log \left(e^{2 e-2 x}\right)-x\right)",1,"(3*(-3*x - 6*E*x + 9*x^2 + 8*E*x^2 - 12*x^3))/10","A",1
7816,1,15,15,0.0282592,"\int \frac{x^{-1-\frac{1}{\log (\log (x))}} \left(e^{2+x}-e^{2+x} \log (\log (x))+e^{2+x} x \log ^2(\log (x))\right)}{\log ^2(\log (x))} \, dx","Integrate[(x^(-1 - Log[Log[x]]^(-1))*(E^(2 + x) - E^(2 + x)*Log[Log[x]] + E^(2 + x)*x*Log[Log[x]]^2))/Log[Log[x]]^2,x]","e^{x+2} x^{-\frac{1}{\log (\log (x))}}","e^{x+2} x^{-\frac{1}{\log (\log (x))}}",1,"E^(2 + x)/x^Log[Log[x]]^(-1)","A",1
7817,1,30,30,0.3483234,"\int \frac{-8 e^{2 x}+e^{4 x} \left(4 e^{2 x}+e^x (1-2 x)-4 x\right)+e^x (-2+4 x)+\left(-2+e^{4 x}+e^{e^x} \left(-2 e^x+e^{5 x}\right)\right) \log ^2\left(2-e^{4 x}\right)+\left(-8 e^{2 x}+e^{4 x} \left(4 e^{2 x}+e^x (1-x)\right)+e^x (-2+2 x)\right) \log (x)+\left(-2 e^{2 x}+e^{6 x}\right) \log ^2(x)+e^{e^x} \left(-8 e^{3 x}+4 e^{7 x}+\left(-8 e^{3 x}+4 e^{7 x}\right) \log (x)+\left(-2 e^{3 x}+e^{7 x}\right) \log ^2(x)\right)+\log \left(2-e^{4 x}\right) \left(-2-8 e^x+e^{4 x} \left(1+4 e^x\right)+\left(-4 e^x+2 e^{5 x}\right) \log (x)+e^{e^x} \left(-8 e^{2 x}+4 e^{6 x}+\left(-4 e^{2 x}+2 e^{6 x}\right) \log (x)\right)\right)}{-8 e^{2 x}+4 e^{6 x}+\left(-2+e^{4 x}\right) \log ^2\left(2-e^{4 x}\right)+\left(-8 e^{2 x}+4 e^{6 x}\right) \log (x)+\left(-2 e^{2 x}+e^{6 x}\right) \log ^2(x)+\log \left(2-e^{4 x}\right) \left(-8 e^x+4 e^{5 x}+\left(-4 e^x+2 e^{5 x}\right) \log (x)\right)} \, dx","Integrate[(-8*E^(2*x) + E^(4*x)*(4*E^(2*x) + E^x*(1 - 2*x) - 4*x) + E^x*(-2 + 4*x) + (-2 + E^(4*x) + E^E^x*(-2*E^x + E^(5*x)))*Log[2 - E^(4*x)]^2 + (-8*E^(2*x) + E^(4*x)*(4*E^(2*x) + E^x*(1 - x)) + E^x*(-2 + 2*x))*Log[x] + (-2*E^(2*x) + E^(6*x))*Log[x]^2 + E^E^x*(-8*E^(3*x) + 4*E^(7*x) + (-8*E^(3*x) + 4*E^(7*x))*Log[x] + (-2*E^(3*x) + E^(7*x))*Log[x]^2) + Log[2 - E^(4*x)]*(-2 - 8*E^x + E^(4*x)*(1 + 4*E^x) + (-4*E^x + 2*E^(5*x))*Log[x] + E^E^x*(-8*E^(2*x) + 4*E^(6*x) + (-4*E^(2*x) + 2*E^(6*x))*Log[x])))/(-8*E^(2*x) + 4*E^(6*x) + (-2 + E^(4*x))*Log[2 - E^(4*x)]^2 + (-8*E^(2*x) + 4*E^(6*x))*Log[x] + (-2*E^(2*x) + E^(6*x))*Log[x]^2 + Log[2 - E^(4*x)]*(-8*E^x + 4*E^(5*x) + (-4*E^x + 2*E^(5*x))*Log[x])),x]","x+e^{e^x}+\frac{x}{\log \left(2-e^{4 x}\right)+e^x (\log (x)+2)}","x+e^{e^x}+\frac{x}{\log \left(2-e^{4 x}\right)+e^x (\log (x)+2)}",1,"E^E^x + x + x/(Log[2 - E^(4*x)] + E^x*(2 + Log[x]))","A",1
7818,1,24,28,0.4684086,"\int \frac{144+144 x+48 x^2+48 x^3+4 x^4+4 x^5+e^{\frac{49+14 e+e^2}{6+x^2}} \left(-36+86 x^2+28 e x^2+2 e^2 x^2-x^4\right)}{36+12 x^2+x^4} \, dx","Integrate[(144 + 144*x + 48*x^2 + 48*x^3 + 4*x^4 + 4*x^5 + E^((49 + 14*E + E^2)/(6 + x^2))*(-36 + 86*x^2 + 28*E*x^2 + 2*E^2*x^2 - x^4))/(36 + 12*x^2 + x^4),x]","x \left(-e^{\frac{(7+e)^2}{x^2+6}}+2 x+4\right)","2 x \left(\frac{1}{2} \left(4-e^{\frac{(7+e)^2}{x^2+6}}\right)+x\right)",1,"x*(4 - E^((7 + E)^2/(6 + x^2)) + 2*x)","A",1
7819,1,33,28,0.191664,"\int \frac{1242+3728 x+3730 x^2+1244 x^3+e^{\frac{2 x-x^2}{2+2 x}} \left(2 x^3-2 x^4-x^5\right)+\left(-2 x-4 x^2-2 x^3+e^{\frac{2 x-x^2}{2+2 x}} \left(4 x^2-4 x^3-2 x^4\right)\right) \log (x)+e^{\frac{2 x-x^2}{2+2 x}} \left(2 x-2 x^2-x^3\right) \log ^2(x)}{2 x^3+4 x^4+2 x^5+\left(4 x^2+8 x^3+4 x^4\right) \log (x)+\left(2 x+4 x^2+2 x^3\right) \log ^2(x)} \, dx","Integrate[(1242 + 3728*x + 3730*x^2 + 1244*x^3 + E^((2*x - x^2)/(2 + 2*x))*(2*x^3 - 2*x^4 - x^5) + (-2*x - 4*x^2 - 2*x^3 + E^((2*x - x^2)/(2 + 2*x))*(4*x^2 - 4*x^3 - 2*x^4))*Log[x] + E^((2*x - x^2)/(2 + 2*x))*(2*x - 2*x^2 - x^3)*Log[x]^2)/(2*x^3 + 4*x^4 + 2*x^5 + (4*x^2 + 8*x^3 + 4*x^4)*Log[x] + (2*x + 4*x^2 + 2*x^3)*Log[x]^2),x]","\frac{1}{2} \left(2 e^{-\frac{(x-2) x}{2 (x+1)}}-\frac{2 (x+621)}{x+\log (x)}\right)","e^{x-\frac{3 x}{\frac{2}{x}+2}}-\frac{x+621}{x+\log (x)}",1,"(2/E^(((-2 + x)*x)/(2*(1 + x))) - (2*(621 + x))/(x + Log[x]))/2","A",1
7820,1,34,23,0.2792703,"\int \frac{x-\log \left(-130 e^{-4-x}\right)+4 \log ^2\left(-130 e^{-4-x}\right)}{1+(-8-4 x) \log \left(-130 e^{-4-x}\right)+\left(16+16 x+4 x^2\right) \log ^2\left(-130 e^{-4-x}\right)} \, dx","Integrate[(x - Log[-130*E^(-4 - x)] + 4*Log[-130*E^(-4 - x)]^2)/(1 + (-8 - 4*x)*Log[-130*E^(-4 - x)] + (16 + 16*x + 4*x^2)*Log[-130*E^(-4 - x)]^2),x]","\frac{1-4 \log \left(-130 e^{-x-4}\right)}{4 (x+2) \log \left(-130 e^{-x-4}\right)-2}","\frac{x}{2 x-\frac{1}{\log \left(-130 e^{-x-4}\right)}+4}",1,"(1 - 4*Log[-130*E^(-4 - x)])/(-2 + 4*(2 + x)*Log[-130*E^(-4 - x)])","A",1
7821,1,33,26,0.0190989,"\int \frac{-5 \sqrt{e}+5 x^2+40 x^3+e^3 \left(2 \sqrt{e} x^2+2 x^4+8 x^5\right)}{e^3 \left(\sqrt{e} x+x^3+4 x^4\right)} \, dx","Integrate[(-5*Sqrt[E] + 5*x^2 + 40*x^3 + E^3*(2*Sqrt[E]*x^2 + 2*x^4 + 8*x^5))/(E^3*(Sqrt[E]*x + x^3 + 4*x^4)),x]","\frac{e^3 x^2+5 \log \left(4 x^3+x^2+\sqrt{e}\right)-5 \log (x)}{e^3}","x^2+\frac{5 \log \left(4 x^2+x+\frac{\sqrt{e}}{x}\right)}{e^3}",1,"(E^3*x^2 - 5*Log[x] + 5*Log[Sqrt[E] + x^2 + 4*x^3])/E^3","A",1
7822,1,29,27,0.1095941,"\int \frac{e^{-e^{\frac{1}{3 \log (4+x)}}+x} \left(-8 e^{\frac{1}{3 \log (4+x)}} x+\left(96-72 x-24 x^2\right) \log ^2(4+x)\right)}{e^{-2 e^{\frac{1}{3 \log (4+x)}}+2 x} (12+3 x) \log ^2(4+x)+e^{-e^{\frac{1}{3 \log (4+x)}}+x} \left(-24 x-6 x^2\right) \log ^2(4+x)+\left(12 x^2+3 x^3\right) \log ^2(4+x)} \, dx","Integrate[(E^(-E^(1/(3*Log[4 + x])) + x)*(-8*E^(1/(3*Log[4 + x]))*x + (96 - 72*x - 24*x^2)*Log[4 + x]^2))/(E^(-2*E^(1/(3*Log[4 + x])) + 2*x)*(12 + 3*x)*Log[4 + x]^2 + E^(-E^(1/(3*Log[4 + x])) + x)*(-24*x - 6*x^2)*Log[4 + x]^2 + (12*x^2 + 3*x^3)*Log[4 + x]^2),x]","-\frac{8 e^x}{x e^{e^{\frac{1}{3 \log (x+4)}}}-e^x}","\frac{8 x}{e^{x-e^{\frac{1}{3 \log (x+4)}}}-x}",1,"(-8*E^x)/(-E^x + E^E^(1/(3*Log[4 + x]))*x)","A",1
7823,1,27,29,0.0221962,"\int \frac{1}{3} e^{2 x} \left(4-50 x-6 x^2\right) \log ^4(4) \, dx","Integrate[(E^(2*x)*(4 - 50*x - 6*x^2)*Log[4]^4)/3,x]","-\frac{2}{3} e^{2 x} \left(\frac{3 x^2}{2}+11 x-\frac{13}{2}\right) \log ^4(4)","e^{2 x} \left(\frac{5}{3} (5-2 x)-(x+2)^2\right) \log ^4(4)-5",1,"(-2*E^(2*x)*(-13/2 + 11*x + (3*x^2)/2)*Log[4]^4)/3","A",1
7824,1,15,20,0.0389488,"\int \left(e^x (10-x)+2^{-5+4 x} e^x (-1-2 \log (4))\right) \, dx","Integrate[E^x*(10 - x) + 2^(-5 + 4*x)*E^x*(-1 - 2*Log[4]),x]","-\frac{1}{32} e^x \left(32 x+16^x-352\right)","e^x \left(-x-4^{2 \left(x-\frac{5}{4}\right)}+11\right)",1,"-1/32*(E^x*(-352 + 16^x + 32*x))","A",1
7825,1,25,16,0.0327461,"\int \left(2 x+e^{2 x+5 x^2} (2+10 x)\right) \, dx","Integrate[2*x + E^(2*x + 5*x^2)*(2 + 10*x),x]","2 \left(\frac{x^2}{2}+\frac{1}{2} e^{5 x^2+2 x}\right)","x^2+e^{5 x^2+2 x}-2",1,"2*(E^(2*x + 5*x^2)/2 + x^2/2)","A",1
7826,1,24,27,0.1528212,"\int \frac{e^x \left(-5+e^3\right)+5 x+5 x^2+e^3 \left(-x-x^2\right)+e^{\left(-e^x+x+x^2\right)^x} \left(e^x-x-x^2+\left(-e^x+x+x^2\right)^x \left(x^2-e^x x^2+2 x^3+\left(-e^x x+x^2+x^3\right) \log \left(-e^x+x+x^2\right)\right)\right)}{e^x x^2-x^3-x^4} \, dx","Integrate[(E^x*(-5 + E^3) + 5*x + 5*x^2 + E^3*(-x - x^2) + E^(-E^x + x + x^2)^x*(E^x - x - x^2 + (-E^x + x + x^2)^x*(x^2 - E^x*x^2 + 2*x^3 + (-(E^x*x) + x^2 + x^3)*Log[-E^x + x + x^2])))/(E^x*x^2 - x^3 - x^4),x]","-\frac{e^{\left(x^2+x-e^x\right)^x}-5+e^3}{x}","\frac{-e^{\left(x^2+x-e^x\right)^x}+5-e^3}{x}",1,"-((-5 + E^3 + E^(-E^x + x + x^2)^x)/x)","A",1
7827,1,15,16,0.0696237,"\int \frac{e^2 \left(-e x-x^2\right)+e^{\frac{\log (e+x)+e^2 \log (5 x \log (4))}{e^2}} \left(x+e^2 (e+x)\right)}{e^2 \left(e x+x^2\right)} \, dx","Integrate[(E^2*(-(E*x) - x^2) + E^((Log[E + x] + E^2*Log[5*x*Log[4]])/E^2)*(x + E^2*(E + x)))/(E^2*(E*x + x^2)),x]","x \left(5 (x+e)^{\frac{1}{e^2}} \log (4)-1\right)","5 x (x+e)^{\frac{1}{e^2}} \log (4)-x",1,"x*(-1 + 5*(E + x)^E^(-2)*Log[4])","A",1
7828,1,14,15,0.0063158,"\int \frac{-e^{5+x} x-2 \log (x)}{x} \, dx","Integrate[(-(E^(5 + x)*x) - 2*Log[x])/x,x]","-e^{x+5}-\log ^2(x)","-e^{x+5}-\log ^2(x)-159",1,"-E^(5 + x) - Log[x]^2","A",1
7829,1,19,27,0.0081835,"\int \frac{-45+30 x-14 x^2+2 x^3}{225-150 x+25 x^2} \, dx","Integrate[(-45 + 30*x - 14*x^2 + 2*x^3)/(225 - 150*x + 25*x^2),x]","\frac{1}{25} \left(x^2-2 x+\frac{27}{x-3}-3\right)","\frac{x^3}{25 (x-3)}+\frac{1}{5} (-x-1-\log (2))-3",1,"(-3 + 27/(-3 + x) - 2*x + x^2)/25","A",1
7830,1,25,30,0.0970896,"\int \frac{-90 x-3 x^2+3 x^3+\left(-44 x-33 x^2\right) \log (4+3 x)+\left(-120-94 x+x^2+3 x^3\right) \log (4+3 x) \log \left(\frac{6-x}{(10+2 x) \log (4+3 x)}\right)}{\left(-120-94 x+x^2+3 x^3\right) \log (4+3 x) \log ^2\left(\frac{6-x}{(10+2 x) \log (4+3 x)}\right)} \, dx","Integrate[(-90*x - 3*x^2 + 3*x^3 + (-44*x - 33*x^2)*Log[4 + 3*x] + (-120 - 94*x + x^2 + 3*x^3)*Log[4 + 3*x]*Log[(6 - x)/((10 + 2*x)*Log[4 + 3*x])])/((-120 - 94*x + x^2 + 3*x^3)*Log[4 + 3*x]*Log[(6 - x)/((10 + 2*x)*Log[4 + 3*x])]^2),x]","\frac{x}{\log \left(-\frac{x-6}{2 (x+5) \log (3 x+4)}\right)}","\frac{x}{\log \left(\frac{\frac{3 (2-x)}{2}+x}{(x+5) \log (3 x+4)}\right)}",1,"x/Log[-1/2*(-6 + x)/((5 + x)*Log[4 + 3*x])]","A",1
7831,1,16,20,0.0016267,"\int \frac{1-18 x+18 x^2-9216 x^4}{x} \, dx","Integrate[(1 - 18*x + 18*x^2 - 9216*x^4)/x,x]","-2304 x^4+9 x^2-18 x+\log (x)","9 \left(-256 x^4-(3-x) x+x\right)+\log (x)",1,"-18*x + 9*x^2 - 2304*x^4 + Log[x]","A",1
7832,1,31,30,0.1856214,"\int \frac{-3 e^x x^3+e^{2 x} \left(2 x+x^4\right)+\left(e^{2 x} \left(18-6 x+36 x^3-12 x^4\right)+e^x \left(-81 x^2+54 x^3-9 x^4\right)+\left(e^{2 x} \left(6-2 x+12 x^3-4 x^4\right)+e^x \left(-27 x^2+18 x^3-3 x^4\right)\right) \log (3-x)\right) \log (3+\log (3-x))}{-81 x^6+27 x^7+e^x \left(108 x^4-36 x^5+54 x^7-18 x^8\right)+e^{2 x} \left(-36 x^2+12 x^3-36 x^5+12 x^6-9 x^8+3 x^9\right)+\left(-27 x^6+9 x^7+e^x \left(36 x^4-12 x^5+18 x^7-6 x^8\right)+e^{2 x} \left(-12 x^2+4 x^3-12 x^5+4 x^6-3 x^8+x^9\right)\right) \log (3-x)} \, dx","Integrate[(-3*E^x*x^3 + E^(2*x)*(2*x + x^4) + (E^(2*x)*(18 - 6*x + 36*x^3 - 12*x^4) + E^x*(-81*x^2 + 54*x^3 - 9*x^4) + (E^(2*x)*(6 - 2*x + 12*x^3 - 4*x^4) + E^x*(-27*x^2 + 18*x^3 - 3*x^4))*Log[3 - x])*Log[3 + Log[3 - x]])/(-81*x^6 + 27*x^7 + E^x*(108*x^4 - 36*x^5 + 54*x^7 - 18*x^8) + E^(2*x)*(-36*x^2 + 12*x^3 - 36*x^5 + 12*x^6 - 9*x^8 + 3*x^9) + (-27*x^6 + 9*x^7 + E^x*(36*x^4 - 12*x^5 + 18*x^7 - 6*x^8) + E^(2*x)*(-12*x^2 + 4*x^3 - 12*x^5 + 4*x^6 - 3*x^8 + x^9))*Log[3 - x]),x]","\frac{e^x \log (\log (3-x)+3)}{e^x x \left(x^3+2\right)-3 x^3}","\frac{\log (\log (3-x)+3)}{x \left(\left(x-3 e^{-x}\right) x^2+2\right)}",1,"(E^x*Log[3 + Log[3 - x]])/(-3*x^3 + E^x*x*(2 + x^3))","A",1
7833,1,40,25,0.1282666,"\int \frac{36 e^{1+\log ^2\left(\frac{1}{6} \left(24+6 e^x-x^2\right)\right)} \left(e^{e^{2 x}} \left(-12 e^x+4 x+e^{2 x} \left(48+12 e^x-2 x^2\right)\right)+e^{e^{2 x}} \left(12 e^x-4 x\right) \log \left(\frac{1}{6} \left(24+6 e^x-x^2\right)\right)\right)}{\left(24+6 e^x-x^2\right)^3} \, dx","Integrate[(36*E^(1 + Log[(24 + 6*E^x - x^2)/6]^2)*(E^E^(2*x)*(-12*E^x + 4*x + E^(2*x)*(48 + 12*E^x - 2*x^2)) + E^E^(2*x)*(12*E^x - 4*x)*Log[(24 + 6*E^x - x^2)/6]))/(24 + 6*E^x - x^2)^3,x]","\frac{36 e^{\log ^2\left(-\frac{x^2}{6}+e^x+4\right)+e^{2 x}+1}}{\left(-x^2+6 e^x+24\right)^2}","e^{\left(\log \left(-\frac{x^2}{6}+e^x+4\right)-1\right)^2+e^{2 x}}",1,"(36*E^(1 + E^(2*x) + Log[4 + E^x - x^2/6]^2))/(24 + 6*E^x - x^2)^2","A",1
7834,1,60,34,0.1026496,"\int \frac{18-42 x+32 x^2-8 x^3+\left(18 x-24 x^2+8 x^3\right) \log \left(\frac{x}{5}\right)+\left(-60 x+72 x^2-24 x^3\right) \log ^2\left(\frac{x}{5}\right)}{\left(9 x-12 x^2+4 x^3\right) \log ^2\left(\frac{x}{5}\right)} \, dx","Integrate[(18 - 42*x + 32*x^2 - 8*x^3 + (18*x - 24*x^2 + 8*x^3)*Log[x/5] + (-60*x + 72*x^2 - 24*x^3)*Log[x/5]^2)/((9*x - 12*x^2 + 4*x^3)*Log[x/5]^2),x]","2 \left(-5 \text{Ei}\left(\log \left(\frac{x}{5}\right)\right)+5 \text{li}\left(\frac{x}{5}\right)-\frac{3}{2} (2 x-3)-\frac{3}{2 (3-2 x)}+\frac{x}{\log \left(\frac{x}{5}\right)}-\frac{1}{\log \left(\frac{x}{5}\right)}\right)","\frac{2 x}{2 x-3}-x-5 (x+1)+\frac{2 x-2}{\log \left(\frac{x}{5}\right)}-2",1,"2*(-3/(2*(3 - 2*x)) - (3*(-3 + 2*x))/2 - 5*ExpIntegralEi[Log[x/5]] - Log[x/5]^(-1) + x/Log[x/5] + 5*LogIntegral[x/5])","C",1
7835,1,39,31,0.1191564,"\int \frac{-1+e^4 \left(-5-2 x^2\right)+e^8 \left(10 x+5 x^2-x^4\right)+e^{2+x} \left(5 e^4+e^8 \left(-10 x+5 x^2\right)\right)}{5 e^4+10 e^8 x^2+5 e^{12} x^4} \, dx","Integrate[(-1 + E^4*(-5 - 2*x^2) + E^8*(10*x + 5*x^2 - x^4) + E^(2 + x)*(5*E^4 + E^8*(-10*x + 5*x^2)))/(5*E^4 + 10*E^8*x^2 + 5*E^12*x^4),x]","-\frac{e^4 \left(x^3+5 x+5\right)+x-5 e^{x+6}}{5 e^4 \left(e^4 x^2+1\right)}","\frac{-x+e^{x+2}-1}{e^4 x^2+1}-\frac{x}{5 e^4}",1,"-1/5*(-5*E^(6 + x) + x + E^4*(5 + 5*x + x^3))/(E^4*(1 + E^4*x^2))","A",1
7836,1,11,24,0.0006724,"\int \frac{1}{2} (-11-24 x) \, dx","Integrate[(-11 - 24*x)/2,x]","-6 x^2-\frac{11 x}{2}","\log \left(16 e^{-\frac{3}{2} \left(4 x^2+3 x+8\right)-x-5}\right)",1,"(-11*x)/2 - 6*x^2","A",1
7837,1,38,28,0.0437396,"\int \frac{-192000 x^2+128000 x^3-5000 x^4+2000 x^5+e^{6 x} \left(3 x^2-2 x^3\right)+e^{4 x} \left(-360 x^2+240 x^3\right)+e^{2 x} \left(14400 x^2-9600 x^3+125 x^4-150 x^5\right)}{-64000 e^{2 x}+4800 e^{4 x}-120 e^{6 x}+e^{8 x}} \, dx","Integrate[(-192000*x^2 + 128000*x^3 - 5000*x^4 + 2000*x^5 + E^(6*x)*(3*x^2 - 2*x^3) + E^(4*x)*(-360*x^2 + 240*x^3) + E^(2*x)*(14400*x^2 - 9600*x^3 + 125*x^4 - 150*x^5))/(-64000*E^(2*x) + 4800*E^(4*x) - 120*E^(6*x) + E^(8*x)),x]","\frac{e^{-2 x} x^3 \left(25 \left(x^2+64\right)-80 e^{2 x}+e^{4 x}\right)}{\left(e^{2 x}-40\right)^2}","e^{-2 x} x^2 \left(\frac{x^3}{\left(\frac{e^{2 x}}{5}-8\right)^2}+x\right)",1,"(x^3*(-80*E^(2*x) + E^(4*x) + 25*(64 + x^2)))/(E^(2*x)*(-40 + E^(2*x))^2)","A",1
7838,1,32,25,0.7387721,"\int \frac{3^{\frac{1}{2 x^3}} e^{\frac{2}{x^3}} \left(-\frac{1}{8+3 x}\right)^{\frac{1}{2 x^3}} \left(-3 x+(-24-9 x) \log \left(-\frac{3 e^4}{8+3 x}\right)\right)}{16 x^4+6 x^5} \, dx","Integrate[(3^(1/(2*x^3))*E^(2/x^3)*(-(8 + 3*x)^(-1))^(1/(2*x^3))*(-3*x + (-24 - 9*x)*Log[(-3*E^4)/(8 + 3*x)]))/(16*x^4 + 6*x^5),x]","3^{\frac{1}{2 x^3}} e^{\frac{2}{x^3}} \left(\frac{1}{-3 x-8}\right)^{\frac{1}{2 x^3}}","e^{\frac{2}{x^3}} \left(-\frac{1}{x+\frac{8}{3}}\right)^{\frac{1}{2 x^3}}",1,"3^(1/(2*x^3))*E^(2/x^3)*((-8 - 3*x)^(-1))^(1/(2*x^3))","A",1
7839,1,12,15,0.1246237,"\int e^{18 e^{8 x-4 x^2}+8 x-4 x^2} (144-144 x) \, dx","Integrate[E^(18*E^(8*x - 4*x^2) + 8*x - 4*x^2)*(144 - 144*x),x]","e^{18 e^{-4 (x-2) x}}","e^{18 e^{-4 \left(x^2-2 x\right)}}",1,"E^(18/E^(4*(-2 + x)*x))","A",1
7840,1,33,22,0.010613,"\int \frac{64 x}{1344+368 x^2+25 x^4+\left(2944+400 x^2\right) \log (5)+1600 \log ^2(5)} \, dx","Integrate[(64*x)/(1344 + 368*x^2 + 25*x^4 + (2944 + 400*x^2)*Log[5] + 1600*Log[5]^2),x]","64 \left(\frac{1}{64} \log \left(25 x^2+168+200 \log (5)\right)-\frac{1}{64} \log \left(x^2+8+8 \log (5)\right)\right)","\log \left(\frac{2}{\frac{x^2}{2}+4+4 \log (5)}-\frac{25}{8}\right)",1,"64*(-1/64*Log[8 + x^2 + 8*Log[5]] + Log[168 + 25*x^2 + 200*Log[5]]/64)","A",1
7841,1,2,9,0.0001437,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log \left(2 e^4 x \log (3)\right)",1,"Log[x]","A",1
7842,1,32,27,0.0351089,"\int \left(5-2 x+2 e^2 x+e^{3 x} \left(-6 x^2+2 x^3+6 x^4\right)\right) \, dx","Integrate[5 - 2*x + 2*E^2*x + E^(3*x)*(-6*x^2 + 2*x^3 + 6*x^4),x]","e^2 x^2-x^2+2 e^{3 x} \left(x^4-x^3\right)+5 x","x \left(\left(2 e^{3 x} \left(x^2-x\right)+e^2\right) x-x+5\right)",1,"5*x - x^2 + E^2*x^2 + 2*E^(3*x)*(-x^3 + x^4)","A",1
7843,0,0,28,8.4560905,"\int \frac{\exp \left(2+\frac{1}{4+e^{4-32 x^4+64 x^2 \log (4)-32 \log ^2(4)}-4 e^{2-16 x^4+32 x^2 \log (4)-16 \log ^2(4)}}-16 x^4+32 x^2 \log (4)-16 \log ^2(4)\right) \left(-128 x^4+128 x^2 \log (4)\right)}{-8 x+e^{6-48 x^4+96 x^2 \log (4)-48 \log ^2(4)} x-6 e^{4-32 x^4+64 x^2 \log (4)-32 \log ^2(4)} x+12 e^{2-16 x^4+32 x^2 \log (4)-16 \log ^2(4)} x} \, dx","Integrate[(E^(2 + (4 + E^(4 - 32*x^4 + 64*x^2*Log[4] - 32*Log[4]^2) - 4*E^(2 - 16*x^4 + 32*x^2*Log[4] - 16*Log[4]^2))^(-1) - 16*x^4 + 32*x^2*Log[4] - 16*Log[4]^2)*(-128*x^4 + 128*x^2*Log[4]))/(-8*x + E^(6 - 48*x^4 + 96*x^2*Log[4] - 48*Log[4]^2)*x - 6*E^(4 - 32*x^4 + 64*x^2*Log[4] - 32*Log[4]^2)*x + 12*E^(2 - 16*x^4 + 32*x^2*Log[4] - 16*Log[4]^2)*x),x]","\int \frac{\exp \left(2+\frac{1}{4+e^{4-32 x^4+64 x^2 \log (4)-32 \log ^2(4)}-4 e^{2-16 x^4+32 x^2 \log (4)-16 \log ^2(4)}}-16 x^4+32 x^2 \log (4)-16 \log ^2(4)\right) \left(-128 x^4+128 x^2 \log (4)\right)}{-8 x+e^{6-48 x^4+96 x^2 \log (4)-48 \log ^2(4)} x-6 e^{4-32 x^4+64 x^2 \log (4)-32 \log ^2(4)} x+12 e^{2-16 x^4+32 x^2 \log (4)-16 \log ^2(4)} x} \, dx","1-e^{\frac{1}{\left(2-e^{2-16 \left(x^2-\log (4)\right)^2}\right)^2}}",1,"Integrate[(E^(2 + (4 + E^(4 - 32*x^4 + 64*x^2*Log[4] - 32*Log[4]^2) - 4*E^(2 - 16*x^4 + 32*x^2*Log[4] - 16*Log[4]^2))^(-1) - 16*x^4 + 32*x^2*Log[4] - 16*Log[4]^2)*(-128*x^4 + 128*x^2*Log[4]))/(-8*x + E^(6 - 48*x^4 + 96*x^2*Log[4] - 48*Log[4]^2)*x - 6*E^(4 - 32*x^4 + 64*x^2*Log[4] - 32*Log[4]^2)*x + 12*E^(2 - 16*x^4 + 32*x^2*Log[4] - 16*Log[4]^2)*x), x]","F",-1
7844,1,23,30,0.426145,"\int \frac{e^{-6 e^{8+2 x}} \left(75 \log ^2(x)-900 e^{8+2 x} x \log ^3(x)+e^{6 e^{8+2 x}} (3 x-3 x \log (x))\right)}{3 x \log ^2(x)} \, dx","Integrate[(75*Log[x]^2 - 900*E^(8 + 2*x)*x*Log[x]^3 + E^(6*E^(8 + 2*x))*(3*x - 3*x*Log[x]))/(3*E^(6*E^(8 + 2*x))*x*Log[x]^2),x]","25 e^{-6 e^{2 x+8}} \log (x)-\frac{x}{\log (x)}","\frac{25 e^{-\frac{2}{3} e^{2 (x+4+\log (3))}} \log ^2(x)-x}{\log (x)}",1,"-(x/Log[x]) + (25*Log[x])/E^(6*E^(8 + 2*x))","A",1
7845,1,15,17,0.3026587,"\int \frac{4+x}{12+e^3 (-4-2 x)+8 x+x^2+(4+2 x) \log (2+x)} \, dx","Integrate[(4 + x)/(12 + E^3*(-4 - 2*x) + 8*x + x^2 + (4 + 2*x)*Log[2 + x]),x]","\log \left(x+2 \log (x+2)-2 e^3+6\right)","\log \left(\frac{x}{2}+\log (x+2)-e^3+3\right)",1,"Log[6 - 2*E^3 + x + 2*Log[2 + x]]","A",1
7846,1,32,30,2.1777586,"\int \frac{e^{-\frac{-5-\log (x)}{-5+x}} \left(120-44 x-12 x^2+e^x \left(60-62 x+22 x^2-2 x^3\right)+\left(4 x+2 e^x x-4 x^2\right) \log (x)\right)}{25 x^2-10 x^3+x^4} \, dx","Integrate[(120 - 44*x - 12*x^2 + E^x*(60 - 62*x + 22*x^2 - 2*x^3) + (4*x + 2*E^x*x - 4*x^2)*Log[x])/(E^((-5 - Log[x])/(-5 + x))*(25*x^2 - 10*x^3 + x^4)),x]","-2 e^{\frac{5}{x-5}} \left(-2 x+e^x+2\right) x^{\frac{6-x}{x-5}}","\frac{2 \left(2 x-e^x-2\right) e^{-\frac{\log (x)+5}{5-x}}}{x}",1,"-2*E^(5/(-5 + x))*(2 + E^x - 2*x)*x^((6 - x)/(-5 + x))","A",1
7847,1,23,24,0.1408069,"\int \frac{e^x (-3+3 x)+\left(-3 e^x x+3 e^x \log (x)\right) \log (-x+\log (x))+\left(5 x-2 e^x x+\left(-5+2 e^x\right) \log (x)\right) \log ^2(-x+\log (x))}{\left(-e^x x+e^x \log (x)\right) \log ^2(-x+\log (x))} \, dx","Integrate[(E^x*(-3 + 3*x) + (-3*E^x*x + 3*E^x*Log[x])*Log[-x + Log[x]] + (5*x - 2*E^x*x + (-5 + 2*E^x)*Log[x])*Log[-x + Log[x]]^2)/((-(E^x*x) + E^x*Log[x])*Log[-x + Log[x]]^2),x]","2 x+5 e^{-x}+\frac{3 x}{\log (\log (x)-x)}","2 x+5 e^{-x}+\frac{3 x}{\log (\log (x)-x)}+3",1,"5/E^x + 2*x + (3*x)/Log[-x + Log[x]]","A",1
7848,1,80,32,0.155215,"\int \frac{-6-2 x+e^2 \left(9 x+20 x^2+5 x^3\right)+\left(2+e^2 \left(-6 x-6 x^2\right)\right) \log \left(4 e^{\frac{-1+e^2 \left(-x-x^2\right)}{e^2 x}}\right)+e^2 x \log ^2\left(4 e^{\frac{-1+e^2 \left(-x-x^2\right)}{e^2 x}}\right)}{e^2 x} \, dx","Integrate[(-6 - 2*x + E^2*(9*x + 20*x^2 + 5*x^3) + (2 + E^2*(-6*x - 6*x^2))*Log[4*E^((-1 + E^2*(-x - x^2))/(E^2*x))] + E^2*x*Log[4*E^((-1 + E^2*(-x - x^2))/(E^2*x))]^2)/(E^2*x),x]","x \left(x^2+7 x+9\right)+\frac{2 (x-3)}{e^2}+\frac{2}{e^4 x}+x \log ^2\left(4 e^{-x-\frac{1}{e^2 x}-1}\right)+\left(\frac{2}{e^2}-2 x (x+3)\right) \log \left(4 e^{-x-\frac{1}{e^2 x}-1}\right)","x \left(x+\left(-x+\log \left(4 e^{-x+\frac{x-\frac{1}{e^2}}{x}-2}\right)-3\right)^2\right)",1,"(2*(-3 + x))/E^2 + 2/(E^4*x) + x*(9 + 7*x + x^2) + (2/E^2 - 2*x*(3 + x))*Log[4*E^(-1 - 1/(E^2*x) - x)] + x*Log[4*E^(-1 - 1/(E^2*x) - x)]^2","B",1
7849,1,34,31,1.347358,"\int \frac{e^{-\frac{e^x}{x}} \left(e^{2 x} (9-9 x)+24 e^x x+24 x^2+\left(-16 e^x x-16 x^2+e^{2 x} (-12+12 x)\right) \log \left(\frac{4}{x^2}\right)+e^{2 x} (4-4 x) \log ^2\left(\frac{4}{x^2}\right)\right)}{4 x^3} \, dx","Integrate[(E^(2*x)*(9 - 9*x) + 24*E^x*x + 24*x^2 + (-16*E^x*x - 16*x^2 + E^(2*x)*(-12 + 12*x))*Log[4/x^2] + E^(2*x)*(4 - 4*x)*Log[4/x^2]^2)/(4*E^(E^x/x)*x^3),x]","\frac{e^{-\frac{e^x}{x}} \left(x+e^x\right) \left(3-2 \log \left(\frac{4}{x^2}\right)\right)^2}{4 x}","\frac{e^{-\frac{e^x}{x}} \left(x+e^x\right) \left(\log \left(\frac{4}{x^2}\right)-\frac{3}{2}\right)^2}{x}",1,"((E^x + x)*(3 - 2*Log[4/x^2])^2)/(4*E^(E^x/x)*x)","A",1
7850,1,27,19,0.0070732,"\int \frac{-40+27 x^2+20 x^3+5 x^2 \log (4)}{15 x^2} \, dx","Integrate[(-40 + 27*x^2 + 20*x^3 + 5*x^2*Log[4])/(15*x^2),x]","\frac{2 x^2}{3}+\frac{9 x}{5}+\frac{8}{3 x}+\frac{2}{3} x \log (2)","\frac{1}{3} x \left(\frac{8}{x^2}+2 x+\frac{27}{5}+\log (4)\right)",1,"8/(3*x) + (9*x)/5 + (2*x^2)/3 + (2*x*Log[2])/3","A",1
7851,1,40,32,0.1430747,"\int \frac{75+10 e^{3 x}-5 e^{4 x}+e^x (-25-25 x)+\left(25+e^{4 x} (-5-20 x)+30 e^{2 x} x+e^{3 x} \left(20+20 x-10 x^2\right)\right) \log (x)+\left(10 e^{2 x} x+3 e^{4 x} x^2-2 e^{6 x} x^2+e^{3 x} (5+15 x)+e^{5 x} \left(x+x^2-x^3\right)\right) \log ^2(x)+\left(e^{4 x} x^2+e^{5 x} x^2\right) \log ^3(x)}{25+10 e^{2 x} x \log (x)+e^{4 x} x^2 \log ^2(x)} \, dx","Integrate[(75 + 10*E^(3*x) - 5*E^(4*x) + E^x*(-25 - 25*x) + (25 + E^(4*x)*(-5 - 20*x) + 30*E^(2*x)*x + E^(3*x)*(20 + 20*x - 10*x^2))*Log[x] + (10*E^(2*x)*x + 3*E^(4*x)*x^2 - 2*E^(6*x)*x^2 + E^(3*x)*(5 + 15*x) + E^(5*x)*(x + x^2 - x^3))*Log[x]^2 + (E^(4*x)*x^2 + E^(5*x)*x^2)*Log[x]^3)/(25 + 10*E^(2*x)*x*Log[x] + E^(4*x)*x^2*Log[x]^2),x]","-\frac{x \left(e^x-\log (x)-2\right) \left(e^{2 x} \left(x+e^x\right) \log (x)+5\right)}{e^{2 x} x \log (x)+5}","\left(x+\frac{e^x x}{x+\frac{5 e^{-2 x}}{\log (x)}}\right) \left(-e^x+\log (x)+2\right)",1,"-((x*(-2 + E^x - Log[x])*(5 + E^(2*x)*(E^x + x)*Log[x]))/(5 + E^(2*x)*x*Log[x]))","A",1
7852,1,18,20,0.4508076,"\int \frac{18 \log (4+2 x)+e^{e^x} \left(-12 \log (4+2 x)+e^x (-12-6 x) \log ^2(4+2 x)\right)+e^{2 e^x} \left(2 \log (4+2 x)+e^x (4+2 x) \log ^2(4+2 x)\right)}{2+x} \, dx","Integrate[(18*Log[4 + 2*x] + E^E^x*(-12*Log[4 + 2*x] + E^x*(-12 - 6*x)*Log[4 + 2*x]^2) + E^(2*E^x)*(2*Log[4 + 2*x] + E^x*(4 + 2*x)*Log[4 + 2*x]^2))/(2 + x),x]","\left(e^{e^x}-3\right)^2 \log ^2(2 (x+2))","\left(e^{e^x}-3\right)^2 \log ^2(2 x+4)+3",1,"(-3 + E^E^x)^2*Log[2*(2 + x)]^2","A",1
7853,1,53,25,0.0127764,"\int \frac{-400+9 x^4+\left(40 x^2+6 x^4\right) \log \left(\frac{x}{4}\right)+6 x^4 \log ^2\left(\frac{x}{4}\right)+2 x^4 \log ^3\left(\frac{x}{4}\right)+x^4 \log ^4\left(\frac{x}{4}\right)}{200 x^3} \, dx","Integrate[(-400 + 9*x^4 + (40*x^2 + 6*x^4)*Log[x/4] + 6*x^4*Log[x/4]^2 + 2*x^4*Log[x/4]^3 + x^4*Log[x/4]^4)/(200*x^3),x]","\frac{9 x^2}{400}+\frac{1}{x^2}+\frac{1}{400} x^2 \log ^4\left(\frac{x}{4}\right)+\frac{3}{200} x^2 \log ^2\left(\frac{x}{4}\right)+\frac{1}{10} \log ^2\left(\frac{x}{4}\right)","\frac{\left(\frac{1}{20} x^2 \left(\log ^2\left(\frac{x}{4}\right)+3\right)+1\right)^2}{x^2}",1,"x^(-2) + (9*x^2)/400 + Log[x/4]^2/10 + (3*x^2*Log[x/4]^2)/200 + (x^2*Log[x/4]^4)/400","B",1
7854,1,37,27,0.1149716,"\int \frac{e^{-9-\log ^2\left(\frac{1}{16} \left(4 x^2-\log (x)\right)\right)} \left(4 x^2-\log (x)\right)^6 \left(30-240 x^2+\left(-10+80 x^2\right) \log \left(\frac{1}{16} \left(4 x^2-\log (x)\right)\right)\right)}{16777216 \left(-4 x^3+x \log (x)\right)} \, dx","Integrate[(E^(-9 - Log[(4*x^2 - Log[x])/16]^2)*(4*x^2 - Log[x])^6*(30 - 240*x^2 + (-10 + 80*x^2)*Log[(4*x^2 - Log[x])/16]))/(16777216*(-4*x^3 + x*Log[x])),x]","\frac{5 e^{-\log ^2\left(\frac{1}{16} \left(4 x^2-\log (x)\right)\right)-9} \left(\log (x)-4 x^2\right)^6}{16777216}","5 e^{-\left(3-\log \left(\frac{1}{16} \left(4 x^2-\log (x)\right)\right)\right)^2}",1,"(5*E^(-9 - Log[(4*x^2 - Log[x])/16]^2)*(-4*x^2 + Log[x])^6)/16777216","A",1
7855,1,31,22,0.026749,"\int \frac{\exp \left(\frac{5 \log \left(-3+e^4\right)-3 \log (x)-\log ^2(x)}{\log \left(-3+e^4\right)}\right) (-3-2 \log (x))}{x \log \left(-3+e^4\right)} \, dx","Integrate[(E^((5*Log[-3 + E^4] - 3*Log[x] - Log[x]^2)/Log[-3 + E^4])*(-3 - 2*Log[x]))/(x*Log[-3 + E^4]),x]","e^{5-\frac{\log ^2(x)}{\log \left(e^4-3\right)}} x^{-\frac{3}{\log \left(e^4-3\right)}}","e^{5-\frac{\log (x) (\log (x)+3)}{\log \left(e^4-3\right)}}-4",1,"E^(5 - Log[x]^2/Log[-3 + E^4])/x^(3/Log[-3 + E^4])","A",1
7856,1,23,23,0.0063063,"\int \frac{e^{4-\frac{2 e^4}{x}} \left(32 e^4+16 e^7+2 e^{10}\right)}{9 x^2} \, dx","Integrate[(E^(4 - (2*E^4)/x)*(32*E^4 + 16*E^7 + 2*E^10))/(9*x^2),x]","\frac{1}{9} \left(4+e^3\right)^2 e^{4-\frac{2 e^4}{x}}","\frac{1}{9} \left(4+e^3\right)^2 e^{4-\frac{2 e^4}{x}}",1,"(E^(4 - (2*E^4)/x)*(4 + E^3)^2)/9","A",1
7857,1,47,29,0.0323635,"\int \frac{-2800-1560 x-4260 x^2-1200 x^3+600 x^4-60 x^6-10 x^7+e^3 \left(720+720 x+1200 x^2+600 x^3-30 x^5-5 x^6\right)}{-64+96 x-40 x^3+6 x^5+x^6} \, dx","Integrate[(-2800 - 1560*x - 4260*x^2 - 1200*x^3 + 600*x^4 - 60*x^6 - 10*x^7 + E^3*(720 + 720*x + 1200*x^2 + 600*x^3 - 30*x^5 - 5*x^6))/(-64 + 96*x - 40*x^3 + 6*x^5 + x^6),x]","-5 \left(x^2+\frac{40 \left(x+e^3-4\right)}{x^2+2 x-4}+\frac{100 \left(x+e^3-4\right)}{\left(x^2+2 x-4\right)^2}+e^3 x\right)","5 \left(-x-e^3+4\right) \left(x+\frac{100}{\left(5-\frac{25}{(x+1)^2}\right)^2}\right)+4",1,"-5*(E^3*x + x^2 + (100*(-4 + E^3 + x))/(-4 + 2*x + x^2)^2 + (40*(-4 + E^3 + x))/(-4 + 2*x + x^2))","A",1
7858,1,24,26,0.0473133,"\int \frac{600-165 x+554 x^2-168 x^3-6 x^4+3 x^5+\left(-240+18 x-226 x^2+19 x^3+6 x^4\right) \log (8+x)+\left(24+3 x+24 x^2+3 x^3\right) \log ^2(8+x)}{600 x^2-165 x^3-6 x^4+3 x^5+\left(-240 x^2+18 x^3+6 x^4\right) \log (8+x)+\left(24 x^2+3 x^3\right) \log ^2(8+x)} \, dx","Integrate[(600 - 165*x + 554*x^2 - 168*x^3 - 6*x^4 + 3*x^5 + (-240 + 18*x - 226*x^2 + 19*x^3 + 6*x^4)*Log[8 + x] + (24 + 3*x + 24*x^2 + 3*x^3)*Log[8 + x]^2)/(600*x^2 - 165*x^3 - 6*x^4 + 3*x^5 + (-240*x^2 + 18*x^3 + 6*x^4)*Log[8 + x] + (24*x^2 + 3*x^3)*Log[8 + x]^2),x]","\frac{1}{3} \left(3 x-\frac{3}{x}+\frac{x}{x+\log (x+8)-5}\right)","x-\frac{1}{x}-\frac{x}{3 (-x-\log (x+8)+5)}+4",1,"(-3/x + 3*x + x/(-5 + x + Log[8 + x]))/3","A",1
7859,1,22,24,0.173645,"\int \frac{160 x-200 x^2+e^{x/5} \left(320 x-168 x^2-40 x^3\right)+\left(320 x-200 x^2\right) \log (x)}{16-40 x+25 x^2} \, dx","Integrate[(160*x - 200*x^2 + E^(x/5)*(320*x - 168*x^2 - 40*x^3) + (320*x - 200*x^2)*Log[x])/(16 - 40*x + 25*x^2),x]","-\frac{40 x^2 \left(e^{x/5}+\log (x)\right)}{5 x-4}","\frac{8 x^2 \left(e^{x/5}+\log (x)\right)}{\frac{4}{5}-x}",1,"(-40*x^2*(E^(x/5) + Log[x]))/(-4 + 5*x)","A",1
7860,1,80,21,0.0978035,"\int \frac{-4+e^{6 x} (5+30 x)+\left(4-5 e^{6 x}\right) \log \left(\frac{5 e^6}{-4+5 e^{6 x}}\right)}{-4+5 e^{6 x}} \, dx","Integrate[(-4 + E^(6*x)*(5 + 30*x) + (4 - 5*E^(6*x))*Log[(5*E^6)/(-4 + 5*E^(6*x))])/(-4 + 5*E^(6*x)),x]","\frac{1}{6} \left(-\text{Li}_2\left(\frac{4 e^{-6 x}}{5}\right)+\text{Li}_2\left(1-\frac{5 e^{6 x}}{4}\right)+18 x^2-30 x+6 x \log \left(1-\frac{4 e^{-6 x}}{5}\right)-\log \left(\frac{5 e^{6 x}}{4}\right) \log \left(\frac{5}{5 e^{6 x}-4}\right)\right)","x-x \log \left(\frac{e^6}{e^{6 x}-\frac{4}{5}}\right)",1,"(-30*x + 18*x^2 + 6*x*Log[1 - 4/(5*E^(6*x))] - Log[(5*E^(6*x))/4]*Log[5/(-4 + 5*E^(6*x))] - PolyLog[2, 4/(5*E^(6*x))] + PolyLog[2, 1 - (5*E^(6*x))/4])/6","C",1
7861,1,11,11,0.0415924,"\int \frac{-1+\log (x) \log (\log (x))-8 \log (x) \log ^2(\log (x))}{\log (x) \log ^2(\log (x))} \, dx","Integrate[(-1 + Log[x]*Log[Log[x]] - 8*Log[x]*Log[Log[x]]^2)/(Log[x]*Log[Log[x]]^2),x]","\frac{x}{\log (\log (x))}-8 x","\frac{x}{\log (\log (x))}-8 x",1,"-8*x + x/Log[Log[x]]","A",1
7862,1,43,24,0.0309217,"\int \frac{384 x^3+\left(-576 x^2+352 x^3\right) \log (9)+\left(192 x-352 x^2\right) \log ^2(9)}{e^{32} \left(7776+71280 x+261360 x^2+479160 x^3+439230 x^4+161051 x^5\right)} \, dx","Integrate[(384*x^3 + (-576*x^2 + 352*x^3)*Log[9] + (192*x - 352*x^2)*Log[9]^2)/(E^32*(7776 + 71280*x + 261360*x^2 + 479160*x^3 + 439230*x^4 + 161051*x^5)),x]","-\frac{16 \left(2662 x^3 (12+11 \log (9))-121 x^2 \left(121 \log ^2(9)-216\right)+9504 x+1296\right)}{14641 e^{32} (11 x+6)^4}","\frac{x^2 (\log (9)-x)^2}{e^{32} \left(-\frac{11 x}{2}-3\right)^4}",1,"(-16*(1296 + 9504*x + 2662*x^3*(12 + 11*Log[9]) - 121*x^2*(-216 + 121*Log[9]^2)))/(14641*E^32*(6 + 11*x)^4)","A",1
7863,1,265,14,0.0413822,"\int \frac{(256-256 x) \log \left(8-2 x+x^2\right)}{8-2 x+x^2} \, dx","Integrate[((256 - 256*x)*Log[8 - 2*x + x^2])/(8 - 2*x + x^2),x]","-256 \left(-\frac{1}{2} \text{Li}_2\left(\frac{i \left(-x-i \sqrt{7}+1\right)}{2 \sqrt{7}}\right)-\frac{1}{2} \text{Li}_2\left(-\frac{i \left(-x+i \sqrt{7}+1\right)}{2 \sqrt{7}}\right)+\frac{1}{2} \log \left(2 x-2 i \sqrt{7}-2\right) \log \left(x^2-2 x+8\right)+\frac{1}{2} \log \left(2 x+2 i \sqrt{7}-2\right) \log \left(x^2-2 x+8\right)-\frac{1}{4} \log ^2\left(2 x-2 \left(1-i \sqrt{7}\right)\right)-\frac{1}{4} \log ^2\left(2 x-2 \left(1+i \sqrt{7}\right)\right)-\frac{1}{2} \log \left(-\frac{i \left(-x+i \sqrt{7}+1\right)}{2 \sqrt{7}}\right) \log \left(2 x-2 \left(1-i \sqrt{7}\right)\right)-\frac{1}{2} \log \left(\frac{i \left(-x-i \sqrt{7}+1\right)}{2 \sqrt{7}}\right) \log \left(2 x-2 \left(1+i \sqrt{7}\right)\right)\right)","-64 \log ^2\left((1-x)^2+7\right)",1,"-256*(-1/2*(Log[((-1/2*I)*(1 + I*Sqrt[7] - x))/Sqrt[7]]*Log[-2*(1 - I*Sqrt[7]) + 2*x]) - Log[-2*(1 - I*Sqrt[7]) + 2*x]^2/4 - (Log[((I/2)*(1 - I*Sqrt[7] - x))/Sqrt[7]]*Log[-2*(1 + I*Sqrt[7]) + 2*x])/2 - Log[-2*(1 + I*Sqrt[7]) + 2*x]^2/4 + (Log[-2 - (2*I)*Sqrt[7] + 2*x]*Log[8 - 2*x + x^2])/2 + (Log[-2 + (2*I)*Sqrt[7] + 2*x]*Log[8 - 2*x + x^2])/2 - PolyLog[2, ((I/2)*(1 - I*Sqrt[7] - x))/Sqrt[7]]/2 - PolyLog[2, ((-1/2*I)*(1 + I*Sqrt[7] - x))/Sqrt[7]]/2)","C",1
7864,0,0,26,0.3418334,"\int \frac{e^{e^x} \left(45+x^2+x \log (3)+\left(3 x^2+2 x \log (3)\right) \log (2 x)\right)+e^{e^x} \left(45 e^x x+e^x \left(x^3+x^2 \log (3)\right) \log (2 x)\right) \log \left(\frac{1}{9} \left(45 x+\left(x^3+x^2 \log (3)\right) \log (2 x)\right)\right)}{45 x+\left(x^3+x^2 \log (3)\right) \log (2 x)} \, dx","Integrate[(E^E^x*(45 + x^2 + x*Log[3] + (3*x^2 + 2*x*Log[3])*Log[2*x]) + E^E^x*(45*E^x*x + E^x*(x^3 + x^2*Log[3])*Log[2*x])*Log[(45*x + (x^3 + x^2*Log[3])*Log[2*x])/9])/(45*x + (x^3 + x^2*Log[3])*Log[2*x]),x]","\int \frac{e^{e^x} \left(45+x^2+x \log (3)+\left(3 x^2+2 x \log (3)\right) \log (2 x)\right)+e^{e^x} \left(45 e^x x+e^x \left(x^3+x^2 \log (3)\right) \log (2 x)\right) \log \left(\frac{1}{9} \left(45 x+\left(x^3+x^2 \log (3)\right) \log (2 x)\right)\right)}{45 x+\left(x^3+x^2 \log (3)\right) \log (2 x)} \, dx","e^{e^x} \log \left(5 \left(\frac{1}{45} x^2 (x+\log (3)) \log (2 x)+x\right)\right)",1,"Integrate[(E^E^x*(45 + x^2 + x*Log[3] + (3*x^2 + 2*x*Log[3])*Log[2*x]) + E^E^x*(45*E^x*x + E^x*(x^3 + x^2*Log[3])*Log[2*x])*Log[(45*x + (x^3 + x^2*Log[3])*Log[2*x])/9])/(45*x + (x^3 + x^2*Log[3])*Log[2*x]), x]","F",-1
7865,1,23,24,0.6056799,"\int \frac{8 x+13 x^2+4 x^3+\left(-x^2-x^3\right) \log \left(\frac{x}{1+x}\right)}{16+48 x+56 x^2+32 x^3+9 x^4+x^5+\left(-8 x-16 x^2-10 x^3-2 x^4\right) \log \left(\frac{x}{1+x}\right)+\left(x^2+x^3\right) \log ^2\left(\frac{x}{1+x}\right)} \, dx","Integrate[(8*x + 13*x^2 + 4*x^3 + (-x^2 - x^3)*Log[x/(1 + x)])/(16 + 48*x + 56*x^2 + 32*x^3 + 9*x^4 + x^5 + (-8*x - 16*x^2 - 10*x^3 - 2*x^4)*Log[x/(1 + x)] + (x^2 + x^3)*Log[x/(1 + x)]^2),x]","\frac{x^2}{(x+2)^2-x \log \left(\frac{x}{x+1}\right)}","\frac{x^2}{x+x \left(x-\log \left(\frac{x}{x+1}\right)+3\right)+4}",1,"x^2/((2 + x)^2 - x*Log[x/(1 + x)])","A",1
7866,1,24,38,0.0491216,"\int \frac{-3 x+e^{5/x} (5+x)+e^x \left(-x+x^2\right)-x \log \left(\frac{x}{3}\right)}{x^3} \, dx","Integrate[(-3*x + E^(5/x)*(5 + x) + E^x*(-x + x^2) - x*Log[x/3])/x^3,x]","\frac{-e^{5/x}+e^x+\log \left(\frac{x}{3}\right)+4}{x}","\frac{-e^{5/x}+e^x-x \left(1-\frac{\log \left(\frac{x}{3}\right)}{x}\right)+4}{x}+\frac{3}{2}",1,"(4 - E^(5/x) + E^x + Log[x/3])/x","A",1
7867,1,29,23,0.0288672,"\int \frac{6-25 x+(4-10 x) \log (-4+10 x)}{-2+5 x} \, dx","Integrate[(6 - 25*x + (4 - 10*x)*Log[-4 + 10*x])/(-2 + 5*x),x]","-3 x-\frac{4}{5} \log (2-5 x)+\frac{2}{5} (2-5 x) \log (10 x-4)","-x-2 \left(x+x \log (10 x-4)-e^2-3\right)+1",1,"-3*x - (4*Log[2 - 5*x])/5 + (2*(2 - 5*x)*Log[-4 + 10*x])/5","A",1
7868,1,20,20,0.0075384,"\int \frac{e^{-x} \left(e^8 (-288-144 x)+e^8 (-192-96 x) \log (2)+e^8 (-32-16 x) \log ^2(2)\right)}{7 x^3} \, dx","Integrate[(E^8*(-288 - 144*x) + E^8*(-192 - 96*x)*Log[2] + E^8*(-32 - 16*x)*Log[2]^2)/(7*E^x*x^3),x]","\frac{16 e^{8-x} (3+\log (2))^2}{7 x^2}","\frac{16 e^{8-x} (3+\log (2))^2}{7 x^2}",1,"(16*E^(8 - x)*(3 + Log[2])^2)/(7*x^2)","A",1
7869,1,18,18,0.0401648,"\int e^{80-2 x-x^2} \left(8-e^{-80+2 x+x^2}+8 x\right) \, dx","Integrate[E^(80 - 2*x - x^2)*(8 - E^(-80 + 2*x + x^2) + 8*x),x]","-4 e^{-x^2-2 x+80}-x","-x-4 e^{81-(x+1)^2}+9",1,"-4*E^(80 - 2*x - x^2) - x","A",1
7870,1,57,24,0.0994718,"\int \frac{1+5 x-6 x^2-2 x^3+4 x^4+e^{2 x} \left(2 x+4 x^2+2 x^3\right)+e^x \left(6 x-6 x^3-2 x^4\right)+\left(6 x-2 x^2-6 x^3+e^x \left(4 x+6 x^2+2 x^3\right)\right) \log \left(\frac{x}{1+x}\right)+\left(2 x+2 x^2\right) \log ^2\left(\frac{x}{1+x}\right)}{1+x} \, dx","Integrate[(1 + 5*x - 6*x^2 - 2*x^3 + 4*x^4 + E^(2*x)*(2*x + 4*x^2 + 2*x^3) + E^x*(6*x - 6*x^3 - 2*x^4) + (6*x - 2*x^2 - 6*x^3 + E^x*(4*x + 6*x^2 + 2*x^3))*Log[x/(1 + x)] + (2*x + 2*x^2)*Log[x/(1 + x)]^2)/(1 + x),x]","x \left(x^3-2 \left(e^x+1\right) x^2+\left(e^x+1\right)^2 x+x \log ^2\left(\frac{x}{x+1}\right)-2 \left(x-e^x-1\right) x \log \left(\frac{x}{x+1}\right)+1\right)","x^2 \left(-x+e^x+\log \left(\frac{x}{x+1}\right)+1\right)^2+x",1,"x*(1 + (1 + E^x)^2*x - 2*(1 + E^x)*x^2 + x^3 - 2*x*(-1 - E^x + x)*Log[x/(1 + x)] + x*Log[x/(1 + x)]^2)","B",1
7871,1,57,34,3.1061587,"\int \frac{32768-6144 x-48768 x^2+6136 x^3+30528 x^4-2304 x^5-10216 x^6+384 x^7+1920 x^8-24 x^9-192 x^{10}+8 x^{12}+\exp \left(\frac{e^{2 x}+4096 x^2-512 x^3-4080 x^4+256 x^5+1536 x^6-32 x^7-256 x^8+16 x^{10}+e^x \left(-128 x+8 x^2+64 x^3-8 x^5\right)}{4096-512 x-4080 x^2+256 x^3+1536 x^4-32 x^5-256 x^6+16 x^8}\right) \left(65536 x-12288 x^2-97536 x^3+12272 x^4+61056 x^5-4608 x^6-20432 x^7+768 x^8+3840 x^9-48 x^{10}-384 x^{11}+16 x^{13}+e^{2 x} \left(17+15 x-8 x^2-4 x^3+x^4\right)+e^x \left(-1024-960 x+128 x^2+1052 x^3+320 x^4-396 x^5-120 x^6+64 x^7+12 x^8-4 x^9\right)\right)}{65536+20480 x-103680 x^2-36496 x^3+67192 x^4+25920 x^5-22736 x^6-9448 x^7+4224 x^8+1872 x^9-408 x^{10}-192 x^{11}+16 x^{12}+8 x^{13}+\exp \left(\frac{e^{2 x}+4096 x^2-512 x^3-4080 x^4+256 x^5+1536 x^6-32 x^7-256 x^8+16 x^{10}+e^x \left(-128 x+8 x^2+64 x^3-8 x^5\right)}{4096-512 x-4080 x^2+256 x^3+1536 x^4-32 x^5-256 x^6+16 x^8}\right) \left(32768-6144 x-48768 x^2+6136 x^3+30528 x^4-2304 x^5-10216 x^6+384 x^7+1920 x^8-24 x^9-192 x^{10}+8 x^{12}\right)} \, dx","Integrate[(32768 - 6144*x - 48768*x^2 + 6136*x^3 + 30528*x^4 - 2304*x^5 - 10216*x^6 + 384*x^7 + 1920*x^8 - 24*x^9 - 192*x^10 + 8*x^12 + E^((E^(2*x) + 4096*x^2 - 512*x^3 - 4080*x^4 + 256*x^5 + 1536*x^6 - 32*x^7 - 256*x^8 + 16*x^10 + E^x*(-128*x + 8*x^2 + 64*x^3 - 8*x^5))/(4096 - 512*x - 4080*x^2 + 256*x^3 + 1536*x^4 - 32*x^5 - 256*x^6 + 16*x^8))*(65536*x - 12288*x^2 - 97536*x^3 + 12272*x^4 + 61056*x^5 - 4608*x^6 - 20432*x^7 + 768*x^8 + 3840*x^9 - 48*x^10 - 384*x^11 + 16*x^13 + E^(2*x)*(17 + 15*x - 8*x^2 - 4*x^3 + x^4) + E^x*(-1024 - 960*x + 128*x^2 + 1052*x^3 + 320*x^4 - 396*x^5 - 120*x^6 + 64*x^7 + 12*x^8 - 4*x^9)))/(65536 + 20480*x - 103680*x^2 - 36496*x^3 + 67192*x^4 + 25920*x^5 - 22736*x^6 - 9448*x^7 + 4224*x^8 + 1872*x^9 - 408*x^10 - 192*x^11 + 16*x^12 + 8*x^13 + E^((E^(2*x) + 4096*x^2 - 512*x^3 - 4080*x^4 + 256*x^5 + 1536*x^6 - 32*x^7 - 256*x^8 + 16*x^10 + E^x*(-128*x + 8*x^2 + 64*x^3 - 8*x^5))/(4096 - 512*x - 4080*x^2 + 256*x^3 + 1536*x^4 - 32*x^5 - 256*x^6 + 16*x^8))*(32768 - 6144*x - 48768*x^2 + 6136*x^3 + 30528*x^4 - 2304*x^5 - 10216*x^6 + 384*x^7 + 1920*x^8 - 24*x^9 - 192*x^10 + 8*x^12)),x]","\log \left(\exp \left(x^2-\frac{e^x x}{2 \left(x^4-8 x^2-x+16\right)}+\frac{e^{2 x}}{16 \left(x^4-8 x^2-x+16\right)^2}\right)+x+2\right)","\log \left(e^{\left(\frac{e^x}{4 \left(\left(4-x^2\right)^2-x\right)}-x\right)^2}+x+2\right)",1,"Log[2 + E^(x^2 + E^(2*x)/(16*(16 - x - 8*x^2 + x^4)^2) - (E^x*x)/(2*(16 - x - 8*x^2 + x^4))) + x]","A",1
7872,1,31,29,0.1406999,"\int \frac{-20 x+20 x^3+4 x^4+e^{3+x} \left(100 x+500 x^2+825 x^3+520 x^4+150 x^5+20 x^6+x^7\right)+\left(60 x+150 x^2+60 x^3+6 x^4+e^{3+x} \left(-300-1500 x-2475 x^2-1560 x^3-450 x^4-60 x^5-3 x^6\right)\right) \log \left(\frac{2 x+e^{3+x} \left(-10-25 x-10 x^2-x^3\right)}{10+25 x+10 x^2+x^3}\right)}{-20 x^5-50 x^6-20 x^7-2 x^8+e^{3+x} \left(100 x^4+500 x^5+825 x^6+520 x^7+150 x^8+20 x^9+x^{10}\right)} \, dx","Integrate[(-20*x + 20*x^3 + 4*x^4 + E^(3 + x)*(100*x + 500*x^2 + 825*x^3 + 520*x^4 + 150*x^5 + 20*x^6 + x^7) + (60*x + 150*x^2 + 60*x^3 + 6*x^4 + E^(3 + x)*(-300 - 1500*x - 2475*x^2 - 1560*x^3 - 450*x^4 - 60*x^5 - 3*x^6))*Log[(2*x + E^(3 + x)*(-10 - 25*x - 10*x^2 - x^3))/(10 + 25*x + 10*x^2 + x^3)])/(-20*x^5 - 50*x^6 - 20*x^7 - 2*x^8 + E^(3 + x)*(100*x^4 + 500*x^5 + 825*x^6 + 520*x^7 + 150*x^8 + 20*x^9 + x^10)),x]","\frac{\log \left(\frac{2 x}{x^3+10 x^2+25 x+10}-e^{x+3}\right)}{x^3}","\frac{\log \left(\frac{x}{\frac{1}{2} x (x+5)^2+5}-e^{x+3}\right)}{x^3}",1,"Log[-E^(3 + x) + (2*x)/(10 + 25*x + 10*x^2 + x^3)]/x^3","A",1
7873,1,24,24,0.1123226,"\int \frac{-4 \log ^2(4 x)+e^{2 e^x} \left(1+\left(1-2 e^x x\right) \log (4 x)\right)}{3 x^2 \log ^2(4 x)} \, dx","Integrate[(-4*Log[4*x]^2 + E^(2*E^x)*(1 + (1 - 2*E^x*x)*Log[4*x]))/(3*x^2*Log[4*x]^2),x]","\frac{4-\frac{e^{2 e^x}}{\log (4 x)}}{3 x}","\frac{4-\frac{e^{2 e^x}}{\log (4 x)}}{3 x}",1,"(4 - E^(2*E^x)/Log[4*x])/(3*x)","A",1
7874,1,25,26,0.2636703,"\int \frac{2-6 x+6 x^2-2 x^3+e^{\frac{36 x^2-36 x^3+9 x^4}{1-2 x+x^2}} \left(72 x-108 x^2+72 x^3-18 x^4\right)}{-1+3 x-3 x^2+x^3} \, dx","Integrate[(2 - 6*x + 6*x^2 - 2*x^3 + E^((36*x^2 - 36*x^3 + 9*x^4)/(1 - 2*x + x^2))*(72*x - 108*x^2 + 72*x^3 - 18*x^4))/(-1 + 3*x - 3*x^2 + x^3),x]","-e^{9 x^2-18 x+\frac{9}{(x-1)^2}-9}-2 x","-e^{\left(\frac{3}{x-1}-3\right)^2 x^2}-2 x+1+\log (2)",1,"-E^(-9 + 9/(-1 + x)^2 - 18*x + 9*x^2) - 2*x","A",1
7875,1,28,29,0.4257178,"\int \frac{e^{-4 \log ^2\left(\frac{1}{3} \left(-15+x^2\right)\right)} \left(15-x^2+e^{4 \log ^2\left(\frac{1}{3} \left(-15+x^2\right)\right)} \left(30 x-2 x^3\right)+16 x^2 \log \left(\frac{5 x}{2}\right) \log \left(\frac{1}{3} \left(-15+x^2\right)\right)\right)}{-15 x+x^3} \, dx","Integrate[(15 - x^2 + E^(4*Log[(-15 + x^2)/3]^2)*(30*x - 2*x^3) + 16*x^2*Log[(5*x)/2]*Log[(-15 + x^2)/3])/(E^(4*Log[(-15 + x^2)/3]^2)*(-15*x + x^3)),x]","-e^{-4 \log ^2\left(\frac{x^2}{3}-5\right)} \log \left(\frac{5 x}{2}\right)-2 x","-e^{-4 \log ^2\left(\frac{x^2}{3}-5\right)} \log \left(\frac{5 x}{2}\right)-2 x+8",1,"-2*x - Log[(5*x)/2]/E^(4*Log[-5 + x^2/3]^2)","A",1
7876,1,43,33,0.112144,"\int \frac{x^2+e^{-x+\frac{-x-e^4 x+\log ^2(4)}{x}} x \left(-x+x^2+\log ^2(4)\right)+e^{\frac{-x-e^4 x+\log ^2(4)}{x}} \left(x^2-x \log ^2(4)\right)}{x^2} \, dx","Integrate[(x^2 + E^(-x + (-x - E^4*x + Log[4]^2)/x)*x*(-x + x^2 + Log[4]^2) + E^((-x - E^4*x + Log[4]^2)/x)*(x^2 - x*Log[4]^2))/x^2,x]","x \left(e^{\frac{\log ^2(4)}{x}-e^4-1}-e^{-x+\frac{\log ^2(4)}{x}-e^4-1}+1\right)","x+\left(x-e^{-x} x\right) e^{\frac{\log ^2(4)-x}{x}-e^4}",1,"(1 + E^(-1 - E^4 + Log[4]^2/x) - E^(-1 - E^4 - x + Log[4]^2/x))*x","A",1
7877,1,16,16,0.0251501,"\int \frac{\left(4 x-4 x^3+e \left(2-4 x^2\right)\right) \log \left(6-x^2+\log \left(e x+x^2\right)\right)}{6 x^2-x^4+e \left(6 x-x^3\right)+\left(e x+x^2\right) \log \left(e x+x^2\right)} \, dx","Integrate[((4*x - 4*x^3 + E*(2 - 4*x^2))*Log[6 - x^2 + Log[E*x + x^2]])/(6*x^2 - x^4 + E*(6*x - x^3) + (E*x + x^2)*Log[E*x + x^2]),x]","\log ^2\left(-x^2+\log (x (x+e))+6\right)","\log ^2\left(-x^2+\log (x (x+e))+6\right)",1,"Log[6 - x^2 + Log[x*(E + x)]]^2","A",1
7878,1,15,15,0.0024608,"\int -\frac{1}{4-4 x+4 \log (\log (4))} \, dx","Integrate[-(4 - 4*x + 4*Log[Log[4]])^(-1),x]","\frac{1}{4} \log (-4 x+4+4 \log (\log (4)))","\frac{1}{4} (\log (x-1-\log (\log (4)))-5)",1,"Log[4 - 4*x + 4*Log[Log[4]]]/4","A",1
7879,1,21,19,0.1259347,"\int \frac{-5-32 e-2 e^{1+x}+3 x+\left(6+e^{1+x} (-6-2 x)+2 x\right) \log (3+x)}{3+x} \, dx","Integrate[(-5 - 32*E - 2*E^(1 + x) + 3*x + (6 + E^(1 + x)*(-6 - 2*x) + 2*x)*Log[3 + x])/(3 + x),x]","x-2 \left(-x+e^{x+1}+16 e+4\right) \log (x+3)","x+2 \left(-e \left(e^x+16\right)+x-4\right) \log (x+3)",1,"x - 2*(4 + 16*E + E^(1 + x) - x)*Log[3 + x]","A",1
7880,1,23,20,0.11797,"\int \frac{-300-150 x+55 x^2-x^3+(100-25 x) \log (4-x)}{-300 x-13 x^2+26 x^3-x^4+\left(100 x-29 x^2+x^3\right) \log (4-x)} \, dx","Integrate[(-300 - 150*x + 55*x^2 - x^3 + (100 - 25*x)*Log[4 - x])/(-300*x - 13*x^2 + 26*x^3 - x^4 + (100*x - 29*x^2 + x^3)*Log[4 - x]),x]","-\log (25-x)+\log (x)+\log (x-\log (4-x)+3)","\log \left(\frac{4 x (-x+\log (4-x)-3)}{x-25}\right)",1,"-Log[25 - x] + Log[x] + Log[3 + x - Log[4 - x]]","A",1
7881,1,26,25,0.2401488,"\int \frac{-10+8 x+12 e^x x+12 x^2+\left(\frac{-5+4 x+6 e^x x+6 x^2}{x}\right)^x \left(-5-x+6 x^2-6 x^3+e^x \left(6 x-6 x^3\right)+\left(5 x-4 x^2-6 e^x x^2-6 x^3\right) \log \left(\frac{-5+4 x+6 e^x x+6 x^2}{x}\right)\right)}{-60+48 x+72 e^x x+72 x^2+\left(\frac{-5+4 x+6 e^x x+6 x^2}{x}\right)^{2 x} \left(-15+12 x+18 e^x x+18 x^2\right)+\left(\frac{-5+4 x+6 e^x x+6 x^2}{x}\right)^x \left(-60+48 x+72 e^x x+72 x^2\right)} \, dx","Integrate[(-10 + 8*x + 12*E^x*x + 12*x^2 + ((-5 + 4*x + 6*E^x*x + 6*x^2)/x)^x*(-5 - x + 6*x^2 - 6*x^3 + E^x*(6*x - 6*x^3) + (5*x - 4*x^2 - 6*E^x*x^2 - 6*x^3)*Log[(-5 + 4*x + 6*E^x*x + 6*x^2)/x]))/(-60 + 48*x + 72*E^x*x + 72*x^2 + ((-5 + 4*x + 6*E^x*x + 6*x^2)/x)^(2*x)*(-15 + 12*x + 18*E^x*x + 18*x^2) + ((-5 + 4*x + 6*E^x*x + 6*x^2)/x)^x*(-60 + 48*x + 72*E^x*x + 72*x^2)),x]","\frac{x}{3 \left(\left(6 x+6 e^x-\frac{5}{x}+4\right)^x+2\right)}","\frac{x}{3 \left(\left(6 \left(x+e^x\right)-\frac{5}{x}+4\right)^x+2\right)}",1,"x/(3*(2 + (4 + 6*E^x - 5/x + 6*x)^x))","A",1
7882,1,24,22,0.2759237,"\int \frac{120 x^2-120 x \log \left(\frac{x}{4}\right)+120 x \log ^2\left(\frac{x}{4}\right)}{4 x^2-4 x^3+x^4+\left(4 x-2 x^2\right) \log ^2\left(\frac{x}{4}\right)+\log ^4\left(\frac{x}{4}\right)} \, dx","Integrate[(120*x^2 - 120*x*Log[x/4] + 120*x*Log[x/4]^2)/(4*x^2 - 4*x^3 + x^4 + (4*x - 2*x^2)*Log[x/4]^2 + Log[x/4]^4),x]","-\frac{120 x^2}{2 (x-2) x-2 \log ^2\left(\frac{x}{4}\right)}","\frac{60 x}{-x+\frac{\log ^2\left(\frac{x}{4}\right)}{x}+2}",1,"(-120*x^2)/(2*(-2 + x)*x - 2*Log[x/4]^2)","A",1
7883,1,59,29,0.1177884,"\int \frac{-4 x^3-8 e^{4 e^{2 x}+2 x} x^3-2 x^4+e^{2 e^{2 x}} \left(-2 x^3+e^{2 x} \left(-16 x^3-8 x^4\right)\right)+\left(-32-x^3\right) \log ^2(2)}{x^3 \log ^2(2)} \, dx","Integrate[(-4*x^3 - 8*E^(4*E^(2*x) + 2*x)*x^3 - 2*x^4 + E^(2*E^(2*x))*(-2*x^3 + E^(2*x)*(-16*x^3 - 8*x^4)) + (-32 - x^3)*Log[2]^2)/(x^3*Log[2]^2),x]","-\frac{x^4+x^3 \left(4+\log ^2(2)\right)+e^{4 e^{2 x}} x^2+2 e^{2 e^{2 x}} (x+2) x^2-16 \log ^2(2)}{x^2 \log ^2(2)}","\frac{16}{x^2}-x-\frac{\left(x+e^{2 e^{2 x}}+2\right)^2}{\log ^2(2)}",1,"-((E^(4*E^(2*x))*x^2 + x^4 + 2*E^(2*E^(2*x))*x^2*(2 + x) - 16*Log[2]^2 + x^3*(4 + Log[2]^2))/(x^2*Log[2]^2))","B",1
7884,1,24,24,0.0432084,"\int \frac{-147 x+24 \log ^2(4)+42 x \log (6 x)-3 x \log ^2(6 x)}{49 x \log (4)-14 x \log (4) \log (6 x)+x \log (4) \log ^2(6 x)} \, dx","Integrate[(-147*x + 24*Log[4]^2 + 42*x*Log[6*x] - 3*x*Log[6*x]^2)/(49*x*Log[4] - 14*x*Log[4]*Log[6*x] + x*Log[4]*Log[6*x]^2),x]","-\frac{3 \left(x-\frac{8 \log ^2(4)}{7-\log (6 x)}\right)}{\log (4)}","3 \left(\frac{8 \log (4)}{7-\log (6 x)}-\frac{x}{\log (4)}\right)",1,"(-3*(x - (8*Log[4]^2)/(7 - Log[6*x])))/Log[4]","A",1
7885,1,17,19,0.004003,"\int -\frac{2 x}{-6-e^5+x^2+2 \log (4)} \, dx","Integrate[(-2*x)/(-6 - E^5 + x^2 + 2*Log[4]),x]","-\log \left(-x^2+e^5+6-2 \log (4)\right)","1-\log \left(-x^2+e^5+6-2 \log (4)\right)",1,"-Log[6 + E^5 - x^2 - 2*Log[4]]","A",1
7886,1,20,22,0.0341475,"\int -\frac{256 e^{e^3+2 x+e \log (5)}}{-243+810 e^{e^3+2 x+e \log (5)}-1080 e^{2 e^3+4 x+2 e \log (5)}+720 e^{3 e^3+6 x+3 e \log (5)}-240 e^{4 e^3+8 x+4 e \log (5)}+32 e^{5 e^3+10 x+5 e \log (5)}} \, dx","Integrate[(-256*E^(E^3 + 2*x + E*Log[5]))/(-243 + 810*E^(E^3 + 2*x + E*Log[5]) - 1080*E^(2*E^3 + 4*x + 2*E*Log[5]) + 720*E^(3*E^3 + 6*x + 3*E*Log[5]) - 240*E^(4*E^3 + 8*x + 4*E*Log[5]) + 32*E^(5*E^3 + 10*x + 5*E*Log[5])),x]","\frac{16}{\left(2\ 5^e e^{2 x+e^3}-3\right)^4}","\frac{16}{\left(2 e^{2 x+e \left(e^2+\log (5)\right)}-3\right)^4}",1,"16/(-3 + 2*5^E*E^(E^3 + 2*x))^4","A",1
7887,1,25,36,0.0471567,"\int \frac{216-112 x+4 x^2-x^3-2 x^4+x^5+6 x^4 \log (2-x)}{-2 x^4+x^5} \, dx","Integrate[(216 - 112*x + 4*x^2 - x^3 - 2*x^4 + x^5 + 6*x^4*Log[2 - x])/(-2*x^4 + x^5),x]","\frac{36}{x^3}-\frac{1}{x^2}+x+\frac{1}{x}+3 \log ^2(2-x)","\frac{3 \left(x^2 \log ^2(2-x)-\frac{4 \left(\frac{x}{2}-3\right)}{x}\right)+x+5}{x^2}+x",1,"36/x^3 - x^(-2) + x^(-1) + x + 3*Log[2 - x]^2","A",1
7888,1,23,27,0.0110198,"\int \frac{4+2 e^8 x^3 \left(i \pi +\log \left(\frac{59}{16}\right)\right)}{e^8 x^2} \, dx","Integrate[(4 + 2*E^8*x^3*(I*Pi + Log[59/16]))/(E^8*x^2),x]","-\frac{4}{e^8 x}+x^2 \left(\log \left(\frac{59}{16}\right)+i \pi \right)","-\frac{x+\frac{4}{e^8}}{x}+x^2 \left(\log \left(\frac{59}{16}\right)+i \pi \right)",1,"-4/(E^8*x) + x^2*(I*Pi + Log[59/16])","A",1
7889,1,22,33,0.3545873,"\int \frac{-6 x^2-4 x^3+e^x \left(6 x^2+4 x^3-x^4\right)+\left(-18 x-18 x^2+e^x \left(18 x+18 x^2-6 x^3\right)\right) \log (x)+\left(-18 x+e^x \left(18 x-9 x^2\right)\right) \log ^2(x)}{9-18 e^x+9 e^{2 x}} \, dx","Integrate[(-6*x^2 - 4*x^3 + E^x*(6*x^2 + 4*x^3 - x^4) + (-18*x - 18*x^2 + E^x*(18*x + 18*x^2 - 6*x^3))*Log[x] + (-18*x + E^x*(18*x - 9*x^2))*Log[x]^2)/(9 - 18*E^x + 9*E^(2*x)),x]","\frac{x^2 (x+3 \log (x))^2}{9 \left(e^x-1\right)}","\frac{e^{-x} x \left(\frac{x^2}{3}+x \log (x)\right)^2}{x-e^{-x} x}",1,"(x^2*(x + 3*Log[x])^2)/(9*(-1 + E^x))","A",1
7890,1,27,20,0.2051405,"\int \frac{-e^{\frac{1}{-4+4 \log (x)}}+8 x+4 e^x x+\left(-16 x-8 e^x x\right) \log (x)+\left(8 x+4 e^x x\right) \log ^2(x)}{4 x-8 x \log (x)+4 x \log ^2(x)} \, dx","Integrate[(-E^(-4 + 4*Log[x])^(-1) + 8*x + 4*E^x*x + (-16*x - 8*E^x*x)*Log[x] + (8*x + 4*E^x*x)*Log[x]^2)/(4*x - 8*x*Log[x] + 4*x*Log[x]^2),x]","\frac{1}{4} \left(8 x+4 e^x+4 e^{\frac{1}{4 (\log (x)-1)}}\right)","2 x+e^x+e^{\frac{1}{4 (\log (x)-1)}}-4",1,"(4*E^x + 4*E^(1/(4*(-1 + Log[x]))) + 8*x)/4","A",1
7891,1,30,25,0.0441528,"\int \frac{6-9 x^2+12 x^3-15 x^4+15 x^5+\left(-6+6 x-9 x^2+9 x^3\right) \log (-1+x)+\left(-12 x+6 x^2+24 x^3-24 x^4+\left(12 x-12 x^2\right) \log (-1+x)\right) \log ^2(\log (5))+\left(3-9 x^2+9 x^3+(-3+3 x) \log (-1+x)\right) \log ^4(\log (5))}{-1+x} \, dx","Integrate[(6 - 9*x^2 + 12*x^3 - 15*x^4 + 15*x^5 + (-6 + 6*x - 9*x^2 + 9*x^3)*Log[-1 + x] + (-12*x + 6*x^2 + 24*x^3 - 24*x^4 + (12*x - 12*x^2)*Log[-1 + x])*Log[Log[5]]^2 + (3 - 9*x^2 + 9*x^3 + (-3 + 3*x)*Log[-1 + x])*Log[Log[5]]^4)/(-1 + x),x]","3 x \left(x^2+\log (x-1)-1\right) \left(x^2-2 x \log ^2(\log (5))+2+\log ^4(\log (5))\right)","3 x \left(x^2+\log (x-1)-1\right) \left(\left(\log ^2(\log (5))-x\right)^2+2\right)",1,"3*x*(-1 + x^2 + Log[-1 + x])*(2 + x^2 - 2*x*Log[Log[5]]^2 + Log[Log[5]]^4)","A",1
7892,1,33,27,0.0000803,"\int \left(-128+32 x-32 \left(i \pi +\log \left(-\frac{-2-\log (4)}{-1+\log (4)}\right)\right)\right) \, dx","Integrate[-128 + 32*x - 32*(I*Pi + Log[-((-2 - Log[4])/(-1 + Log[4]))]),x]","16 x^2-128 x-32 x \left(\log \left(-\frac{-2-\log (4)}{\log (4)-1}\right)+i \pi \right)","16 \left(-x+i \pi +4+\log \left(1-\frac{3}{1-\log (4)}\right)\right)^2",1,"-128*x + 16*x^2 - 32*x*(I*Pi + Log[-((-2 - Log[4])/(-1 + Log[4]))])","A",1
7893,1,29,31,0.029004,"\int \frac{4 \log (5)+\left(-2 x+5 x^2-2 x^3+e^2 \left(x^2-2 x^3\right)\right) \log (5) \log ^2\left(\frac{4-4 x+x^2+e^4 x^2+e^2 \left(-4 x+2 x^2\right)}{x^2}\right)}{\left(-2 x+x^2+e^2 x^2\right) \log ^2\left(\frac{4-4 x+x^2+e^4 x^2+e^2 \left(-4 x+2 x^2\right)}{x^2}\right)} \, dx","Integrate[(4*Log[5] + (-2*x + 5*x^2 - 2*x^3 + E^2*(x^2 - 2*x^3))*Log[5]*Log[(4 - 4*x + x^2 + E^4*x^2 + E^2*(-4*x + 2*x^2))/x^2]^2)/((-2*x + x^2 + E^2*x^2)*Log[(4 - 4*x + x^2 + E^4*x^2 + E^2*(-4*x + 2*x^2))/x^2]^2),x]","\log (5) \left(-x^2-\frac{1}{\log \left(\frac{\left(e^2 x+x-2\right)^2}{x^2}\right)}+x\right)","\log (5) \left(-x^2+x-\frac{1}{\log \left(\left(e^2-\frac{2-x}{x}\right)^2\right)}\right)",1,"Log[5]*(x - x^2 - Log[(-2 + x + E^2*x)^2/x^2]^(-1))","A",1
7894,1,18,23,0.0194123,"\int \frac{1}{5} \left(10+e^{e^{10+x^2}} \left(-3-6 e^{10+x^2} x^2\right)\right) \, dx","Integrate[(10 + E^E^(10 + x^2)*(-3 - 6*E^(10 + x^2)*x^2))/5,x]","2 x-\frac{3}{5} e^{e^{x^2+10}} x","-\frac{3}{5} e^{e^{x^2+10}} x+2 x-e^{10}",1,"2*x - (3*E^E^(10 + x^2)*x)/5","A",1
7895,1,17,19,0.1292742,"\int \frac{-16-8 x+9 x^2+\left(8+6 x-2 x^2\right) \log (1+x)+(-1-x) \log ^2(1+x)}{16+16 x+(-8-8 x) \log (1+x)+(1+x) \log ^2(1+x)} \, dx","Integrate[(-16 - 8*x + 9*x^2 + (8 + 6*x - 2*x^2)*Log[1 + x] + (-1 - x)*Log[1 + x]^2)/(16 + 16*x + (-8 - 8*x)*Log[1 + x] + (1 + x)*Log[1 + x]^2),x]","-\frac{x^2}{\log (x+1)-4}-x","\frac{x^2}{4-\log (x+1)}-x-6",1,"-x - x^2/(-4 + Log[1 + x])","A",1
7896,1,13,15,0.0056243,"\int \frac{e^{3+\frac{1}{6} (60+23 x)} (-6+23 x)}{6 x^2} \, dx","Integrate[(E^(3 + (60 + 23*x)/6)*(-6 + 23*x))/(6*x^2),x]","\frac{e^{\frac{23 x}{6}+13}}{x}","\frac{x+e^{\frac{23 x}{6}+13}}{x}",1,"E^(13 + (23*x)/6)/x","A",1
7897,1,51,23,0.5597895,"\int \frac{-4-2 x+10 x^2+5 x^3+e^x \left(10 x^2+5 x^3\right)+\left(2 x-5 x^2-5 e^4 x^2+5 e^x x^2+5 x^3\right) \log \left(\frac{2-5 x-5 e^4 x+5 e^x x+5 x^2}{5 x}\right)}{2 x-5 x^2-5 e^4 x^2+5 e^x x^2+5 x^3} \, dx","Integrate[(-4 - 2*x + 10*x^2 + 5*x^3 + E^x*(10*x^2 + 5*x^3) + (2*x - 5*x^2 - 5*E^4*x^2 + 5*E^x*x^2 + 5*x^3)*Log[(2 - 5*x - 5*E^4*x + 5*E^x*x + 5*x^2)/(5*x)])/(2*x - 5*x^2 - 5*E^4*x^2 + 5*E^x*x^2 + 5*x^3),x]","2 \log \left(5 x^2+5 e^x x-5 e^4 x-5 x+2\right)-2 \log (x)+x \log \left(x+e^x+\frac{2}{5 x}-e^4-1\right)","(x+2) \log \left(x+e^x+\frac{2}{5 x}-e^4-1\right)",1,"-2*Log[x] + x*Log[-1 - E^4 + E^x + 2/(5*x) + x] + 2*Log[2 - 5*x - 5*E^4*x + 5*E^x*x + 5*x^2]","B",1
7898,1,36,23,0.0280441,"\int \frac{4 x+x^2-x^3+e^2 \left(-2 x+x^2\right)}{4-4 x+4 x^2-x^3+e^2 \left(4-4 x+x^2\right)} \, dx","Integrate[(4*x + x^2 - x^3 + E^2*(-2*x + x^2))/(4 - 4*x + 4*x^2 - x^3 + E^2*(4 - 4*x + x^2)),x]","\log \left(-x^3+e^2 x^2+4 x^2-4 e^2 x-4 x+4 e^2+4\right)+x","x-\log \left(\frac{1}{(x-2)^2 \left(x-e^2\right)-4}\right)+2",1,"x + Log[4 + 4*E^2 - 4*x - 4*E^2*x + 4*x^2 + E^2*x^2 - x^3]","A",1
7899,1,34,32,0.9801842,"\int \frac{1+4 x^2+\exp \left(\frac{84+32 x+4 x^2+\left(21 x+8 x^2+x^3\right) \log (x)}{x}\right) \left(168-42 x-24 x^2-2 x^3+\left(-16 x^2-4 x^3\right) \log (x)\right)}{2 x^2} \, dx","Integrate[(1 + 4*x^2 + E^((84 + 32*x + 4*x^2 + (21*x + 8*x^2 + x^3)*Log[x])/x)*(168 - 42*x - 24*x^2 - 2*x^3 + (-16*x^2 - 4*x^3)*Log[x]))/(2*x^2),x]","-e^{4 x+\frac{84}{x}+32} x^{x (x+8)+21}+2 x-\frac{1}{2 x}","2 x-\frac{1}{2 x}-e^{\left((x+4)^2+5\right) \left(\frac{4}{x}+\log (x)\right)}+5",1,"-1/2*1/x + 2*x - E^(32 + 84/x + 4*x)*x^(21 + x*(8 + x))","A",1
7900,1,23,20,0.0190109,"\int \frac{x+e^x x+2 x^2+3 x^3+\left(4+4 x^2\right) \log ^3(x)+2 x^2 \log ^4(x)}{x} \, dx","Integrate[(x + E^x*x + 2*x^2 + 3*x^3 + (4 + 4*x^2)*Log[x]^3 + 2*x^2*Log[x]^4)/x,x]","x^3+x^2+x^2 \log ^4(x)+e^x+x+\log ^4(x)","e^x+x \left(x+\left(x+\frac{1}{x}\right) \left(x+\log ^4(x)\right)\right)",1,"E^x + x + x^2 + x^3 + Log[x]^4 + x^2*Log[x]^4","A",1
7901,1,88,26,0.1249312,"\int \frac{-20-10 x+10 x^2+\left(2 x^2+2 x^3\right) \log (4)+\left(4-6 x-2 x^2+6 x^3-2 x^4\right) \log (4) \log (2-x)+\left(\left(-2 x-2 x^2\right) \log (4)+\left(4-2 x-4 x^2+2 x^3\right) \log (4) \log (2-x)\right) \log (x)+\left(20-10 x-2 x^2 \log (4)+\left(-4+10 x-8 x^2+2 x^3\right) \log (4) \log (2-x)+\left(2 x \log (4)+\left(-4+6 x-2 x^2\right) \log (4) \log (2-x)\right) \log (x)\right) \log \left(-5+x^2 \log (4) \log (2-x)-x \log (4) \log (2-x) \log (x)\right)}{-10+5 x+\left(2 x^2-x^3\right) \log (4) \log (2-x)+\left(-2 x+x^2\right) \log (4) \log (2-x) \log (x)} \, dx","Integrate[(-20 - 10*x + 10*x^2 + (2*x^2 + 2*x^3)*Log[4] + (4 - 6*x - 2*x^2 + 6*x^3 - 2*x^4)*Log[4]*Log[2 - x] + ((-2*x - 2*x^2)*Log[4] + (4 - 2*x - 4*x^2 + 2*x^3)*Log[4]*Log[2 - x])*Log[x] + (20 - 10*x - 2*x^2*Log[4] + (-4 + 10*x - 8*x^2 + 2*x^3)*Log[4]*Log[2 - x] + (2*x*Log[4] + (-4 + 6*x - 2*x^2)*Log[4]*Log[2 - x])*Log[x])*Log[-5 + x^2*Log[4]*Log[2 - x] - x*Log[4]*Log[2 - x]*Log[x]])/(-10 + 5*x + (2*x^2 - x^3)*Log[4]*Log[2 - x] + (-2*x + x^2)*Log[4]*Log[2 - x]*Log[x]),x]","2 \left(\frac{x^2}{2}-\log \left(x^2 (-\log (4)) \log (2-x)+x \log (4) \log (2-x) \log (x)+5\right)+x+\frac{1}{2} \log ^2(x \log (4) \log (2-x) (x-\log (x))-5)-x \log (x \log (4) \log (2-x) (x-\log (x))-5)\right)","(x-\log (x \log (4) \log (2-x) (x-\log (x))-5)+1)^2",1,"2*(x + x^2/2 - x*Log[-5 + x*Log[4]*Log[2 - x]*(x - Log[x])] + Log[-5 + x*Log[4]*Log[2 - x]*(x - Log[x])]^2/2 - Log[5 - x^2*Log[4]*Log[2 - x] + x*Log[4]*Log[2 - x]*Log[x]])","B",1
7902,0,0,29,0.7683522,"\int \left(10 x+e^{2 e^{\frac{4+3 x-x^5}{x}}} \left(-2 x+e^{\frac{4+3 x-x^5}{x}} \left(8+8 x^5\right)\right)\right) \, dx","Integrate[10*x + E^(2*E^((4 + 3*x - x^5)/x))*(-2*x + E^((4 + 3*x - x^5)/x)*(8 + 8*x^5)),x]","\int \left(10 x+e^{2 e^{\frac{4+3 x-x^5}{x}}} \left(-2 x+e^{\frac{4+3 x-x^5}{x}} \left(8+8 x^5\right)\right)\right) \, dx","\left(5-e^{2 e^{\frac{3 x+4}{x}-x^4}}\right) x^2",1,"Integrate[10*x + E^(2*E^((4 + 3*x - x^5)/x))*(-2*x + E^((4 + 3*x - x^5)/x)*(8 + 8*x^5)), x]","F",-1
7903,1,25,26,0.1798404,"\int \frac{-1+e^{e^{e^{7+x^2}}}-\log (x)+2 e^{7+e^{7+x^2}+x^2} x^2 \log (x)+\left(-e^{e^{e^{7+x^2}}}+\log (x)\right) \log \left(e^{-e^{e^{7+x^2}}} \left(e^{e^{e^{7+x^2}}} x-x \log (x)\right)\right)}{e^{e^{e^{7+x^2}}} x^2-x^2 \log (x)} \, dx","Integrate[(-1 + E^E^E^(7 + x^2) - Log[x] + 2*E^(7 + E^(7 + x^2) + x^2)*x^2*Log[x] + (-E^E^E^(7 + x^2) + Log[x])*Log[(E^E^E^(7 + x^2)*x - x*Log[x])/E^E^E^(7 + x^2)])/(E^E^E^(7 + x^2)*x^2 - x^2*Log[x]),x]","\frac{\log \left(x-e^{-e^{e^{x^2+7}}} x \log (x)\right)}{x}","\frac{\log \left(x \left(1-e^{-e^{e^{x^2+7}}} \log (x)\right)\right)}{x}",1,"Log[x - (x*Log[x])/E^E^E^(7 + x^2)]/x","A",1
7904,1,24,28,0.3880591,"\int \frac{-126+e^x (-72-36 x)+\left(-63-36 e^x\right) \log \left(-35 x^2-20 e^x x^2\right)+\left(-7-4 e^x\right) \log ^2\left(-35 x^2-20 e^x x^2\right)}{\left(7 x^2+4 e^x x^2\right) \log ^2\left(-35 x^2-20 e^x x^2\right)} \, dx","Integrate[(-126 + E^x*(-72 - 36*x) + (-63 - 36*E^x)*Log[-35*x^2 - 20*E^x*x^2] + (-7 - 4*E^x)*Log[-35*x^2 - 20*E^x*x^2]^2)/((7*x^2 + 4*E^x*x^2)*Log[-35*x^2 - 20*E^x*x^2]^2),x]","\frac{9}{x \log \left(-5 \left(4 e^x+7\right) x^2\right)}+\frac{1}{x}","\frac{9}{x \log \left(5 \left(x^2-4 \left(e^x+2\right) x^2\right)\right)}+\frac{1}{x}",1,"x^(-1) + 9/(x*Log[-5*(7 + 4*E^x)*x^2])","A",1
7905,1,29,29,0.2385885,"\int \frac{8 x+32 x^3+e^{e^5} \left(-4-24 x^2\right)+4 (i \pi +\log (5))}{x^4+4 x^6+4 x^8+\left(2 x^3+4 x^5\right) (i \pi +\log (5))+x^2 (i \pi +\log (5))^2+e^{2 e^5} \left(x^2+4 x^4+4 x^6+\left(2 x+4 x^3\right) (i \pi +\log (5))+(i \pi +\log (5))^2\right)+e^{e^5} \left(-2 x^3-8 x^5-8 x^7+\left(-4 x^2-8 x^4\right) (i \pi +\log (5))-2 x (i \pi +\log (5))^2\right)} \, dx","Integrate[(8*x + 32*x^3 + E^E^5*(-4 - 24*x^2) + 4*(I*Pi + Log[5]))/(x^4 + 4*x^6 + 4*x^8 + (2*x^3 + 4*x^5)*(I*Pi + Log[5]) + x^2*(I*Pi + Log[5])^2 + E^(2*E^5)*(x^2 + 4*x^4 + 4*x^6 + (2*x + 4*x^3)*(I*Pi + Log[5]) + (I*Pi + Log[5])^2) + E^E^5*(-2*x^3 - 8*x^5 - 8*x^7 + (-4*x^2 - 8*x^4)*(I*Pi + Log[5]) - 2*x*(I*Pi + Log[5])^2)),x]","\frac{4}{\left(e^{e^5}-x\right) \left(2 x^3+x+i \pi +\log (5)\right)}","\frac{4}{\left(e^{e^5}-x\right) \left(2 x^3+x+i \pi +\log (5)\right)}",1,"4/((E^E^5 - x)*(I*Pi + x + 2*x^3 + Log[5]))","A",1
7906,1,20,24,0.1233872,"\int \frac{-12 x^3-3 x^7+12 x^3 \log \left(x^2\right)}{\left(256+128 x^4+16 x^8\right) \log ^3\left(x^2\right)} \, dx","Integrate[(-12*x^3 - 3*x^7 + 12*x^3*Log[x^2])/((256 + 128*x^4 + 16*x^8)*Log[x^2]^3),x]","\frac{3 x^4}{64 \left(x^4+4\right) \log ^2\left(x^2\right)}","\frac{3 x^2}{64 \left(x^2+\frac{4}{x^2}\right) \log ^2\left(x^2\right)}",1,"(3*x^4)/(64*(4 + x^4)*Log[x^2]^2)","A",1
7907,1,25,28,0.0513106,"\int \frac{54+90 x+45 x^2+7 x^3+\left(9 x^2+2 x^3\right) \log (x)+\left(27+18 x+3 x^2\right) \log \left(x^2\right)}{27+18 x+3 x^2} \, dx","Integrate[(54 + 90*x + 45*x^2 + 7*x^3 + (9*x^2 + 2*x^3)*Log[x] + (27 + 18*x + 3*x^2)*Log[x^2])/(27 + 18*x + 3*x^2),x]","\frac{1}{3} \left(\frac{x^3 \log (x)}{x+3}+3 x \left(\log \left(x^2\right)+x\right)\right)","x^2-x \left(-\frac{x^2 \log (x)}{3 (x+3)}-\log \left(x^2\right)\right)",1,"((x^3*Log[x])/(3 + x) + 3*x*(x + Log[x^2]))/3","A",1
7908,1,153,32,0.2368047,"\int \frac{4 x+x^2-4 (i \pi +\log (3))+\left(4 x+x^2\right) \log (2) (i \pi +\log (3))-x (i \pi +\log (3)) \log (x)+(i \pi -x+\log (3)-x \log (2) (i \pi +\log (3))) \log (3 x)+(-x-x \log (2) (i \pi +\log (3))+(i \pi +\log (3)) \log (x)) \log (x+x \log (2) (i \pi +\log (3))-(i \pi +\log (3)) \log (x))}{-x^2-x^2 \log (2) (i \pi +\log (3))+x (i \pi +\log (3)) \log (x)} \, dx","Integrate[(4*x + x^2 - 4*(I*Pi + Log[3]) + (4*x + x^2)*Log[2]*(I*Pi + Log[3]) - x*(I*Pi + Log[3])*Log[x] + (I*Pi - x + Log[3] - x*Log[2]*(I*Pi + Log[3]))*Log[3*x] + (-x - x*Log[2]*(I*Pi + Log[3]) + (I*Pi + Log[3])*Log[x])*Log[x + x*Log[2]*(I*Pi + Log[3]) - (I*Pi + Log[3])*Log[x]])/(-x^2 - x^2*Log[2]*(I*Pi + Log[3]) + x*(I*Pi + Log[3])*Log[x]),x]","-\frac{1}{2} (\log (x)-\log (3 x)+4) \log \left(x^2 \left(1+\pi ^2 \log ^2(2)+\log ^2(2) \log ^2(3)+\log (3) \log (4)\right)-x \left(\log ^2(3) \log (4)+\pi ^2 \log (4)+\log (9)\right) \log (x)+\left(\pi ^2+\log ^2(3)\right) \log ^2(x)\right)-x+\log (x) \log (x+x \log (2) (\log (3)+i \pi )-(\log (3)+i \pi ) \log (x))+i (\log (x)-\log (3 x)+4) \tan ^{-1}\left(\frac{\pi  (\log (x)-x \log (2))}{x+x \log (2) \log (3)-\log (3) \log (x)}\right)","-x+(\log (3 x)-4) \log (x+(\log (3)+i \pi ) (x \log (2)-\log (x)))",1,"-x + I*ArcTan[(Pi*(-(x*Log[2]) + Log[x]))/(x + x*Log[2]*Log[3] - Log[3]*Log[x])]*(4 + Log[x] - Log[3*x]) + Log[x]*Log[x + x*Log[2]*(I*Pi + Log[3]) - (I*Pi + Log[3])*Log[x]] - ((4 + Log[x] - Log[3*x])*Log[x^2*(1 + Pi^2*Log[2]^2 + Log[2]^2*Log[3]^2 + Log[3]*Log[4]) - x*(Pi^2*Log[4] + Log[3]^2*Log[4] + Log[9])*Log[x] + (Pi^2 + Log[3]^2)*Log[x]^2])/2","B",0
7909,1,37,30,0.2517364,"\int \frac{-1-4 x^2-2 x^2 \log (4)}{x-2 e^7 x^2-2 x^3-2 x^3 \log (4)+2 x^2 \log \left(6 e^{-x}\right)} \, dx","Integrate[(-1 - 4*x^2 - 2*x^2*Log[4])/(x - 2*E^7*x^2 - 2*x^3 - 2*x^3*Log[4] + 2*x^2*Log[6/E^x]),x]","\log \left(-2 x^2+x^2 (-\log (16))-2 e^7 x+2 x \log \left(6 e^{-x}\right)+1\right)-\log (x)","\log \left(x+\frac{x-\frac{1}{2 x}-\log \left(6 e^{-x}\right)+e^7}{\log (4)}\right)",1,"-Log[x] + Log[1 - 2*E^7*x - 2*x^2 - x^2*Log[16] + 2*x*Log[6/E^x]]","A",1
7910,1,33,34,0.3387413,"\int \frac{\left(20+x^2-x^3\right) \log (6)+\left(20-x^2+2 x^3\right) \log (6) \log (x)+e^{\frac{e^x}{\log (6)}} \left(-20 \log (6)+\left(20 e^x x-20 \log (6)\right) \log (x)\right)}{5 x^2 \log (6) \log ^2(x)} \, dx","Integrate[((20 + x^2 - x^3)*Log[6] + (20 - x^2 + 2*x^3)*Log[6]*Log[x] + E^(E^x/Log[6])*(-20*Log[6] + (20*E^x*x - 20*Log[6])*Log[x]))/(5*x^2*Log[6]*Log[x]^2),x]","\frac{x^3-x^2+20 e^{\frac{e^x}{\log (6)}}-20}{5 x \log (x)}","\frac{\frac{1}{5} \left(x^2-x\right)+\frac{4 \left(e^{\frac{e^x}{\log (6)}}-1\right)}{x}}{\log (x)}",1,"(-20 + 20*E^(E^x/Log[6]) - x^2 + x^3)/(5*x*Log[x])","A",1
7911,1,34,25,0.1092422,"\int \frac{-2-11 x+18 x^2+75 x^3+32 x^4+3 x^5+\left(-9+45 x^2+18 x^3+x^4\right) \log (x)+\left(-x+9 x^3+6 x^4+x^5+\left(-1+9 x^2+6 x^3+x^4\right) \log (x)\right) \log \left(\frac{x^6+2 x^5 \log (x)+x^4 \log ^2(x)}{1-18 x^2-12 x^3+79 x^4+108 x^5+54 x^6+12 x^7+x^8}\right)}{-x+9 x^3+6 x^4+x^5+\left(-1+9 x^2+6 x^3+x^4\right) \log (x)} \, dx","Integrate[(-2 - 11*x + 18*x^2 + 75*x^3 + 32*x^4 + 3*x^5 + (-9 + 45*x^2 + 18*x^3 + x^4)*Log[x] + (-x + 9*x^3 + 6*x^4 + x^5 + (-1 + 9*x^2 + 6*x^3 + x^4)*Log[x])*Log[(x^6 + 2*x^5*Log[x] + x^4*Log[x]^2)/(1 - 18*x^2 - 12*x^3 + 79*x^4 + 108*x^5 + 54*x^6 + 12*x^7 + x^8)])/(-x + 9*x^3 + 6*x^4 + x^5 + (-1 + 9*x^2 + 6*x^3 + x^4)*Log[x]),x]","x \log \left(\frac{x^4 (x+\log (x))^2}{\left(x^4+6 x^3+9 x^2-1\right)^2}\right)+5 x","x \left(\log \left(\frac{(x+\log (x))^2}{\left((x+3)^2-\frac{1}{x^2}\right)^2}\right)+5\right)",1,"5*x + x*Log[(x^4*(x + Log[x])^2)/(-1 + 9*x^2 + 6*x^3 + x^4)^2]","A",1
7912,1,14,24,0.0118949,"\int \frac{-50+45 x+19 e x-12 x^2+x^3}{25 x-10 x^2+x^3} \, dx","Integrate[(-50 + 45*x + 19*E*x - 12*x^2 + x^3)/(25*x - 10*x^2 + x^3),x]","x-\frac{19 e}{x-5}-2 \log (x)","x-\frac{e (5 (x-3)+x+4)}{x-5}-2 \log (5 x)",1,"(-19*E)/(-5 + x) + x - 2*Log[x]","A",1
7913,1,39,28,0.4163091,"\int \frac{1250 x^4-200 x^6+6 x^8+\left(1000 x^3-40 x^5\right) \log (x) \log (12 x)+\left(500 x^3-20 x^5+\left(500 x^3-60 x^5\right) \log (x)\right) \log ^2(12 x)+\left(600 x^2-8 x^4\right) \log ^2(x) \log ^3(12 x)+\left(\left(300 x^2-4 x^4\right) \log (x)-4 x^4 \log ^2(x)\right) \log ^4(12 x)+120 x \log ^3(x) \log ^5(12 x)+\left(60 x \log ^2(x)-20 x \log ^3(x)\right) \log ^6(12 x)+8 \log ^4(x) \log ^7(12 x)+\left(4 \log ^3(x)-2 \log ^4(x)\right) \log ^8(12 x)}{x^3} \, dx","Integrate[(1250*x^4 - 200*x^6 + 6*x^8 + (1000*x^3 - 40*x^5)*Log[x]*Log[12*x] + (500*x^3 - 20*x^5 + (500*x^3 - 60*x^5)*Log[x])*Log[12*x]^2 + (600*x^2 - 8*x^4)*Log[x]^2*Log[12*x]^3 + ((300*x^2 - 4*x^4)*Log[x] - 4*x^4*Log[x]^2)*Log[12*x]^4 + 120*x*Log[x]^3*Log[12*x]^5 + (60*x*Log[x]^2 - 20*x*Log[x]^3)*Log[12*x]^6 + 8*Log[x]^4*Log[12*x]^7 + (4*Log[x]^3 - 2*Log[x]^4)*Log[12*x]^8)/x^3,x]","\frac{\left(-x^4+25 x^2+10 x \log (x) \log ^2(12 x)+\log ^2(x) \log ^4(12 x)\right)^2}{x^2}","x^2 \left(\left(\frac{\log (x) \log ^2(12 x)}{x}+5\right)^2-x^2\right)^2",1,"(25*x^2 - x^4 + 10*x*Log[x]*Log[12*x]^2 + Log[x]^2*Log[12*x]^4)^2/x^2","A",1
7914,1,56,28,0.0191695,"\int \frac{2 x^3-4 x^2 \log (24)+2 x \log ^2(24)+\frac{1}{81} e^{20} x^4 (-3 x+4 \log (24))}{x^3-2 x^2 \log (24)+x \log ^2(24)} \, dx","Integrate[(2*x^3 - 4*x^2*Log[24] + 2*x*Log[24]^2 + (E^20*x^4*(-3*x + 4*Log[24]))/81)/(x^3 - 2*x^2*Log[24] + x*Log[24]^2),x]","\frac{-e^{20} x^4+162 x^2+4 x \log (24) \left(e^{20} \log ^2(24)-81\right)-4 e^{20} \log ^4(24)+162 \log ^2(24)}{81 (x-\log (24))}","2 x+\frac{e^{4 \left(5-\log \left(\frac{3}{x}\right)\right)}}{\log (24)-x}+4",1,"(162*x^2 - E^20*x^4 + 162*Log[24]^2 - 4*E^20*Log[24]^4 + 4*x*Log[24]*(-81 + E^20*Log[24]^2))/(81*(x - Log[24]))","A",1
7915,1,24,24,0.1706774,"\int \frac{-x+e^2 x+x^2-16 x^6+\left(2-2 e^2-4 x+192 x^5\right) \log \left(x-e^2 x-x^2+16 x^6\right)}{-x+e^2 x+x^2-16 x^6} \, dx","Integrate[(-x + E^2*x + x^2 - 16*x^6 + (2 - 2*E^2 - 4*x + 192*x^5)*Log[x - E^2*x - x^2 + 16*x^6])/(-x + E^2*x + x^2 - 16*x^6),x]","x-\log ^2\left(x \left(16 x^5-x-e^2+1\right)\right)","x-\log ^2\left(x \left(16 x^5-x-e^2+1\right)\right)",1,"x - Log[x*(1 - E^2 - x + 16*x^5)]^2","A",1
7916,1,20,17,0.1012538,"\int \frac{2-80 x-4 x^2-5 x^3+5 x \log (x)}{-80 x-5 x^3+5 x \log (x)} \, dx","Integrate[(2 - 80*x - 4*x^2 - 5*x^3 + 5*x*Log[x])/(-80*x - 5*x^3 + 5*x*Log[x]),x]","\frac{1}{5} \left(2 \log \left(x^2-\log (x)+16\right)+5 x\right)","\frac{2}{5} \log \left(-x^2+\log (x)-16\right)+x-4",1,"(5*x + 2*Log[16 + x^2 - Log[x]])/5","A",1
7917,1,26,23,0.0246478,"\int \frac{270+90 e^{13/2}-90 x^2}{9+e^{13}+12 x-4 e^{39/4} x+10 x^2+4 x^3+x^4+e^{13/2} \left(6+4 x+6 x^2\right)+e^{13/4} \left(-12 x-8 x^2-4 x^3\right)} \, dx","Integrate[(270 + 90*E^(13/2) - 90*x^2)/(9 + E^13 + 12*x - 4*E^(39/4)*x + 10*x^2 + 4*x^3 + x^4 + E^(13/2)*(6 + 4*x + 6*x^2) + E^(13/4)*(-12*x - 8*x^2 - 4*x^3)),x]","\frac{90 x}{x^2-2 e^{13/4} x+2 x+e^{13/2}+3}","\frac{90 x}{\left(x-e^{13/4}\right)^2+2 x+3}+1",1,"(90*x)/(3 + E^(13/2) + 2*x - 2*E^(13/4)*x + x^2)","A",1
7918,1,61,36,0.1377252,"\int \frac{-48-160 x-144 x^2-80 x^3-264 x^4-320 x^5-220 x^6-120 x^7-36 x^8+e^{2 x} \left(-32 x^2-96 x^3-88 x^4-48 x^5-36 x^6\right)+e^x \left(32+128 x+80 x^2+208 x^3+368 x^4+272 x^5+168 x^6+72 x^7\right)}{36 x^2+120 x^3+148 x^4+20 x^5-120 x^6-100 x^7+x^8+30 x^9+9 x^{10}+e^{2 x} \left(16 x^2+48 x^3+20 x^4-48 x^5-32 x^6+12 x^7+9 x^8\right)+e^x \left(-48 x^2-152 x^3-128 x^4+68 x^5+160 x^6+40 x^7-42 x^8-18 x^9\right)} \, dx","Integrate[(-48 - 160*x - 144*x^2 - 80*x^3 - 264*x^4 - 320*x^5 - 220*x^6 - 120*x^7 - 36*x^8 + E^(2*x)*(-32*x^2 - 96*x^3 - 88*x^4 - 48*x^5 - 36*x^6) + E^x*(32 + 128*x + 80*x^2 + 208*x^3 + 368*x^4 + 272*x^5 + 168*x^6 + 72*x^7))/(36*x^2 + 120*x^3 + 148*x^4 + 20*x^5 - 120*x^6 - 100*x^7 + x^8 + 30*x^9 + 9*x^10 + E^(2*x)*(16*x^2 + 48*x^3 + 20*x^4 - 48*x^5 - 32*x^6 + 12*x^7 + 9*x^8) + E^x*(-48*x^2 - 152*x^3 - 128*x^4 + 68*x^5 + 160*x^6 + 40*x^7 - 42*x^8 - 18*x^9)),x]","-\frac{4 \left(\frac{4}{-3 x^4-5 x^3+4 x^2+e^x \left(3 x^3+2 x^2-6 x-4\right)+10 x+6}-x^2\right)}{x \left(x^2-2\right)}","\frac{4}{x-\frac{2 x}{x^2-\frac{1}{\left(x-e^x+1\right) \left(\frac{3 x}{2}+1\right)}}}",1,"(-4*(-x^2 + 4/(6 + 10*x + 4*x^2 - 5*x^3 - 3*x^4 + E^x*(-4 - 6*x + 2*x^2 + 3*x^3))))/(x*(-2 + x^2))","A",1
7919,1,29,28,0.4253075,"\int \frac{e^{4+2 x} \left(-18 x+12 x^2-2 x^3\right)+e^{2+x} \left(6 x^2+2 x^3-2 x^4\right)}{4 x^2+e^{4+2 x} \left(9-6 x+x^2\right)+e^{2+x} \left(-12 x+4 x^2\right)} \, dx","Integrate[(E^(4 + 2*x)*(-18*x + 12*x^2 - 2*x^3) + E^(2 + x)*(6*x^2 + 2*x^3 - 2*x^4))/(4*x^2 + E^(4 + 2*x)*(9 - 6*x + x^2) + E^(2 + x)*(-12*x + 4*x^2)),x]","-\frac{2 e^{x+2} (x-3) x^2}{2 e^{x+2} (x-3)+4 x}","2-\frac{(3-x) x}{-2 e^{-x-2}+\frac{3}{x}-1}",1,"(-2*E^(2 + x)*(-3 + x)*x^2)/(2*E^(2 + x)*(-3 + x) + 4*x)","A",1
7920,1,30,21,0.0396484,"\int \frac{20 x-4 x^4+4 x^5+\left(-10+2 x^3\right) \log (2)+\left(60 x^2-30 x \log (2)\right) \log (2 x-\log (2))+\left(60 x^3-30 x^2 \log (2)\right) \log ^2(2 x-\log (2))+\left(20 x^4-10 x^3 \log (2)\right) \log ^3(2 x-\log (2))}{-2 x^3+x^2 \log (2)+\left(-6 x^4+3 x^3 \log (2)\right) \log (2 x-\log (2))+\left(-6 x^5+3 x^4 \log (2)\right) \log ^2(2 x-\log (2))+\left(-2 x^6+x^5 \log (2)\right) \log ^3(2 x-\log (2))} \, dx","Integrate[(20*x - 4*x^4 + 4*x^5 + (-10 + 2*x^3)*Log[2] + (60*x^2 - 30*x*Log[2])*Log[2*x - Log[2]] + (60*x^3 - 30*x^2*Log[2])*Log[2*x - Log[2]]^2 + (20*x^4 - 10*x^3*Log[2])*Log[2*x - Log[2]]^3)/(-2*x^3 + x^2*Log[2] + (-6*x^4 + 3*x^3*Log[2])*Log[2*x - Log[2]] + (-6*x^5 + 3*x^4*Log[2])*Log[2*x - Log[2]]^2 + (-2*x^6 + x^5*Log[2])*Log[2*x - Log[2]]^3),x]","-2 \left(-\frac{x^2}{2 (x \log (2 x-\log (2))+1)^2}-\frac{5}{x}\right)","\frac{10}{x}+\frac{1}{\left(\frac{1}{x}+\log (2 x-\log (2))\right)^2}",1,"-2*(-5/x - x^2/(2*(1 + x*Log[2*x - Log[2]])^2))","A",1
7921,1,46,25,0.1118204,"\int \frac{10 x+7 x^2+x^3+e^4 \left(2 x+x^2\right)+\left(4-6 x+x^3\right) \log \left(\frac{-2+x}{e^2}\right)+\left(-2 x-x^2\right) \log (x)+\left(2 x+x^2\right) \log (4+2 x)}{-4 x+x^3} \, dx","Integrate[(10*x + 7*x^2 + x^3 + E^4*(2*x + x^2) + (4 - 6*x + x^3)*Log[(-2 + x)/E^2] + (-2*x - x^2)*Log[x] + (2*x + x^2)*Log[4 + 2*x])/(-4*x + x^3),x]","-2 x+\left(7+e^4\right) \log (2-x)+2 \log (x)-2 \log (x+2)+\log (x-2) (x-\log (x)+\log (2 (x+2))-2)+\log (4)","\log \left(\frac{x-2}{e^2}\right) \left(x-\log (x)+\log (2 x+4)+e^4+5\right)",1,"-2*x + Log[4] + (7 + E^4)*Log[2 - x] + 2*Log[x] - 2*Log[2 + x] + Log[-2 + x]*(-2 + x - Log[x] + Log[2*(2 + x)])","A",1
7922,1,212,26,0.1827099,"\int \frac{9-6 x-8 x^2+2 x^3+e \left(6 x-x^2\right)}{9 x-6 x^2-2 x^3+x^4+e \left(3 x^2-x^3\right)+\left(45-30 x+5 x^2\right) \log (2)} \, dx","Integrate[(9 - 6*x - 8*x^2 + 2*x^3 + E*(6*x - x^2))/(9*x - 6*x^2 - 2*x^3 + x^4 + E*(3*x^2 - x^3) + (45 - 30*x + 5*x^2)*Log[2]),x]","\frac{\text{RootSum}\left[-\text{$\#$1}^3+e \text{$\#$1}^2-10 \text{$\#$1}^2+6 e \text{$\#$1}-30 \text{$\#$1}-\text{$\#$1} \log (32)+9 e-27\&,\frac{-9 e \text{$\#$1}^2 \log (-\text{$\#$1}+x-3)+27 \text{$\#$1}^2 \log (-\text{$\#$1}+x-3)+6 e^2 \text{$\#$1} \log (-\text{$\#$1}+x-3)-78 e \text{$\#$1} \log (-\text{$\#$1}+x-3)+180 \text{$\#$1} \log (-\text{$\#$1}+x-3)+\log (35184372088832) \log (-\text{$\#$1}+x-3)-e \log (32768) \log (-\text{$\#$1}+x-3)+18 e^2 \log (-\text{$\#$1}+x-3)-144 e \log (-\text{$\#$1}+x-3)+270 \log (-\text{$\#$1}+x-3)}{-3 \text{$\#$1}^2+2 e \text{$\#$1}-20 \text{$\#$1}+6 e-30-\log (32)}\&\right]}{3 (e-3)}-\log (x-3)","\log \left(\frac{1}{5} \left(\frac{(e-x) x^2}{3-x}+x\right)+\log (2)\right)",1,"-Log[-3 + x] + RootSum[-27 + 9*E - 30*#1 + 6*E*#1 - Log[32]*#1 - 10*#1^2 + E*#1^2 - #1^3 & , (270*Log[-3 + x - #1] - 144*E*Log[-3 + x - #1] + 18*E^2*Log[-3 + x - #1] - E*Log[32768]*Log[-3 + x - #1] + Log[35184372088832]*Log[-3 + x - #1] + 180*Log[-3 + x - #1]*#1 - 78*E*Log[-3 + x - #1]*#1 + 6*E^2*Log[-3 + x - #1]*#1 + 27*Log[-3 + x - #1]*#1^2 - 9*E*Log[-3 + x - #1]*#1^2)/(-30 + 6*E - Log[32] - 20*#1 + 2*E*#1 - 3*#1^2) & ]/(3*(-3 + E))","C",1
7923,1,35,36,0.0245405,"\int \frac{-3 x^2+e^2 \left(-x^2+3 x^4\right)+e^x \left(-30+30 x+e^2 \left(-2 x^3-x^4\right)\right)}{x^2} \, dx","Integrate[(-3*x^2 + E^2*(-x^2 + 3*x^4) + E^x*(-30 + 30*x + E^2*(-2*x^3 - x^4)))/x^2,x]","e^2 x^3-e^{x+2} x^2-e^2 x-3 x+\frac{30 e^x}{x}","3 \left(\frac{x+10 e^x}{x}-x\right)-e^2 \left(\left(e^x-x\right) x^2+x\right)",1,"(30*E^x)/x - 3*x - E^2*x - E^(2 + x)*x^2 + E^2*x^3","A",1
7924,1,26,25,0.1192355,"\int \frac{5 x^2+\left(-50-270 x-100 x^2\right) \log \left(\frac{1}{4} (1+5 x)\right)+\left(-x-5 x^2\right) \log \left(\frac{1}{4} (1+5 x)\right) \log \left(\log \left(\frac{1}{4} (1+5 x)\right)\right)}{\left(x^3+5 x^4\right) \log \left(\frac{1}{4} (1+5 x)\right)} \, dx","Integrate[(5*x^2 + (-50 - 270*x - 100*x^2)*Log[(1 + 5*x)/4] + (-x - 5*x^2)*Log[(1 + 5*x)/4]*Log[Log[(1 + 5*x)/4]])/((x^3 + 5*x^4)*Log[(1 + 5*x)/4]),x]","\frac{25}{x^2}+\frac{20}{x}+\frac{\log \left(\log \left(\frac{1}{4} (5 x+1)\right)\right)}{x}","\left(\frac{5}{x}+2\right)^2+\frac{\log \left(\log \left(x+\frac{x+1}{4}\right)\right)}{x}",1,"25/x^2 + 20/x + Log[Log[(1 + 5*x)/4]]/x","A",1
7925,1,35,24,2.3539954,"\int \frac{2+e^{16-x} (1+x)+\log (x)-\log \left(x^2\right)}{1+e^{32-2 x}+e^{16-x} (2-2 x)-2 x+x^2+\left(2+2 e^{16-x}-2 x\right) \log (x)+\log ^2(x)+\left(-2-2 e^{16-x}+2 x-2 \log (x)\right) \log \left(x^2\right)+\log ^2\left(x^2\right)} \, dx","Integrate[(2 + E^(16 - x)*(1 + x) + Log[x] - Log[x^2])/(1 + E^(32 - 2*x) + E^(16 - x)*(2 - 2*x) - 2*x + x^2 + (2 + 2*E^(16 - x) - 2*x)*Log[x] + Log[x]^2 + (-2 - 2*E^(16 - x) + 2*x - 2*Log[x])*Log[x^2] + Log[x^2]^2),x]","\frac{e^x x}{-e^x \log \left(x^2\right)-e^x x+e^x+e^x \log (x)+e^{16}}","\frac{x}{-\log \left(x^2\right)-x+e^{16-x}+\log (x)+1}",1,"(E^x*x)/(E^16 + E^x - E^x*x + E^x*Log[x] - E^x*Log[x^2])","A",1
7926,1,15,27,0.0071823,"\int e^{-1/x} \left(-4 x^3-20 x^4\right) \, dx","Integrate[(-4*x^3 - 20*x^4)/E^x^(-1),x]","-4 \left(5 \Gamma \left(-5,\frac{1}{x}\right)+\Gamma \left(-4,\frac{1}{x}\right)\right)","4 e^{-1/x} x^2 \left((1-x) x^2-x^2\right)",1,"-4*(5*Gamma[-5, x^(-1)] + Gamma[-4, x^(-1)])","C",1
7927,1,20,18,0.0206225,"\int e^{-e^x} \left(5 e^x+e^{e^x} \left(8 x^3+10 x^4\right)\right) \, dx","Integrate[(5*E^x + E^E^x*(8*x^3 + 10*x^4))/E^E^x,x]","2 x^5+2 x^4-5 e^{-e^x}","2 x^4 (x+1)-5 e^{-e^x}",1,"-5/E^E^x + 2*x^4 + 2*x^5","A",1
7928,1,14,14,0.0456361,"\int \frac{e^{-\frac{2}{-82+3 x}} \left(26896-1944 x+36 x^2\right)}{6724-492 x+9 x^2} \, dx","Integrate[(26896 - 1944*x + 36*x^2)/(E^(2/(-82 + 3*x))*(6724 - 492*x + 9*x^2)),x]","4 e^{\frac{2}{82-3 x}} x","4 e^{-\frac{2}{3 x-82}} x",1,"4*E^(2/(82 - 3*x))*x","A",1
7929,1,59,26,0.1484691,"\int \frac{-e^{2 x}-4096 x^5-65536 x^8+e^x \left(-4 x^2-512 x^4\right)+2 e^{2 x} \left(2 e^{2 x} x^2+1024 e^x x^6+131072 x^{10}\right)}{1024 x^6+65536 x^9+262144 x^{10}+e^{2 x} \left(x+4 x^2\right)+e^x \left(4 x^2+512 x^5+2048 x^6\right)+2 e^{2 x} \left(e^{2 x} x^2+512 e^x x^6+65536 x^{10}\right)} \, dx","Integrate[(-E^(2*x) - 4096*x^5 - 65536*x^8 + E^x*(-4*x^2 - 512*x^4) + 2*E^(2*x)*(2*E^(2*x)*x^2 + 1024*E^x*x^6 + 131072*x^10))/(1024*x^6 + 65536*x^9 + 262144*x^10 + E^(2*x)*(x + 4*x^2) + E^x*(4*x^2 + 512*x^5 + 2048*x^6) + 2*E^(2*x)*(E^(2*x)*x^2 + 512*E^x*x^6 + 65536*x^10)),x]","-\log \left(256 x^4+e^x\right)+\log \left(512 e^{2 x} x^5+1024 x^5+256 x^4+4 e^x x+2 e^{3 x} x+4 x+e^x\right)-\log (x)","\log \left(\frac{4}{256 x^4+e^x}+2 e^{2 x}+\frac{1}{x}+4\right)",1,"-Log[x] - Log[E^x + 256*x^4] + Log[E^x + 4*x + 4*E^x*x + 2*E^(3*x)*x + 256*x^4 + 1024*x^5 + 512*E^(2*x)*x^5]","B",1
7930,1,21,21,0.148653,"\int \frac{e^x \left(-48-42 x^2-45 x^3+6 x^4\right)+e^x \left(-6-3 x^2-6 x^3\right) \log \left(2+x^2+2 x^3\right)}{2+x^2+2 x^3} \, dx","Integrate[(E^x*(-48 - 42*x^2 - 45*x^3 + 6*x^4) + E^x*(-6 - 3*x^2 - 6*x^3)*Log[2 + x^2 + 2*x^3])/(2 + x^2 + 2*x^3),x]","3 e^x \left(-\log \left(2 x^3+x^2+2\right)+x-9\right)","3 e^x \left(-\log \left(2 x^3+x^2+2\right)+x-9\right)",1,"3*E^x*(-9 + x - Log[2 + x^2 + 2*x^3])","A",1
7931,1,18,21,0.0864069,"\int e^{-x} \left(e^{2 e^{-x} x} (2-2 x)-6 e^x \log (x)-3 e^x \log ^2(x)\right) \, dx","Integrate[(E^((2*x)/E^x)*(2 - 2*x) - 6*E^x*Log[x] - 3*E^x*Log[x]^2)/E^x,x]","e^{2 e^{-x} x}-3 x \log ^2(x)","e^{2 e^{-x} x}-3 x \log ^2(x)+\frac{7}{2}",1,"E^((2*x)/E^x) - 3*x*Log[x]^2","A",1
7932,1,16,16,0.0509344,"\int \frac{1}{2} \left(e^{3 x} (5+15 x)+e^{2 x} \left(-25-40 x+10 x^2\right)\right) \, dx","Integrate[(E^(3*x)*(5 + 15*x) + E^(2*x)*(-25 - 40*x + 10*x^2))/2,x]","\frac{5}{2} e^{2 x} x \left(x+e^x-5\right)","\frac{5}{2} e^{2 x} x \left(x+e^x-5\right)",1,"(5*E^(2*x)*x*(-5 + E^x + x))/2","A",1
7933,1,14,15,0.050979,"\int \frac{-3+x-2 x \log (x)+x \log (x) \log (\log (x))}{x \log (x)} \, dx","Integrate[(-3 + x - 2*x*Log[x] + x*Log[x]*Log[Log[x]])/(x*Log[x]),x]","-2 x+x \log (\log (x))-3 \log (\log (x))","x-(x-3) (3-\log (\log (x)))+1",1,"-2*x - 3*Log[Log[x]] + x*Log[Log[x]]","A",1
7934,1,109,32,0.3918751,"\int \frac{x+3 x^2+3 x^3+x^4+e^5 \left(-32-96 x-96 x^2-32 x^3\right)+e^{12+4 x^2+2 x^4} \left(256 x+768 x^2+1024 x^3+1024 x^4+768 x^5+256 x^6\right)+\left(e^{10} (-256-256 x)+e^5 (-8-8 x)\right) \log (3)-64 e^{10} \log ^2(3)+e^{1+2 x^2+x^4} \left(e^{10} \left(-1024 x-3072 x^2-4096 x^3-4096 x^4-3072 x^5-1024 x^6\right)+e^5 \left(8+24 x+56 x^2+104 x^3+128 x^4+128 x^5+96 x^6+32 x^7\right)+e^{10} \left(64-192 x-512 x^2-512 x^3-512 x^4-256 x^5\right) \log (3)\right)}{32+96 x+96 x^2+32 x^3} \, dx","Integrate[(x + 3*x^2 + 3*x^3 + x^4 + E^5*(-32 - 96*x - 96*x^2 - 32*x^3) + E^(12 + 4*x^2 + 2*x^4)*(256*x + 768*x^2 + 1024*x^3 + 1024*x^4 + 768*x^5 + 256*x^6) + (E^10*(-256 - 256*x) + E^5*(-8 - 8*x))*Log[3] - 64*E^10*Log[3]^2 + E^(1 + 2*x^2 + x^4)*(E^10*(-1024*x - 3072*x^2 - 4096*x^3 - 4096*x^4 - 3072*x^5 - 1024*x^6) + E^5*(8 + 24*x + 56*x^2 + 104*x^3 + 128*x^4 + 128*x^5 + 96*x^6 + 32*x^7) + E^10*(64 - 192*x - 512*x^2 - 512*x^3 - 512*x^4 - 256*x^5)*Log[3]))/(32 + 96*x + 96*x^2 + 32*x^3),x]","\frac{x^2}{64}-\frac{e^5 \left(4 x^2+8 x+4-\log (3)\right)}{4 (x+1)}+\frac{1}{4} e^{x^4+2 x^2+6} x+e^{2 \left(x^4+2 x^2+6\right)}-\frac{2 e^{x^4+2 x^2+11} (4 x+4+\log (3))}{x+1}+\frac{e^{10} \log (3) (8 x+8+\log (3))}{(x+1)^2}","\left(e^5 \left(e^{\left(x^2+1\right)^2}-\frac{\log (3)}{x+1}-4\right)+\frac{x}{8}\right)^2",1,"E^(2*(6 + 2*x^2 + x^4)) + (E^(6 + 2*x^2 + x^4)*x)/4 + x^2/64 - (E^5*(4 + 8*x + 4*x^2 - Log[3]))/(4*(1 + x)) - (2*E^(11 + 2*x^2 + x^4)*(4 + 4*x + Log[3]))/(1 + x) + (E^10*Log[3]*(8 + 8*x + Log[3]))/(1 + x)^2","B",1
7935,1,30,22,0.1932495,"\int \frac{e^2 \left(2 x+2 x^2\right)+e \left(52 x+4 x^2\right) \log (x)+\left(50 x+2 x^2\right) \log ^2(x)+\left(e (96+48 x)+e^2 \left(2 x+x^2\right)+e \left(4 x+2 x^2\right) \log (x)+\left(2 x+x^2\right) \log ^2(x)\right) \log (2+x)}{e^2 \left(2 x+x^2\right)+e \left(4 x+2 x^2\right) \log (x)+\left(2 x+x^2\right) \log ^2(x)} \, dx","Integrate[(E^2*(2*x + 2*x^2) + E*(52*x + 4*x^2)*Log[x] + (50*x + 2*x^2)*Log[x]^2 + (E*(96 + 48*x) + E^2*(2*x + x^2) + E*(4*x + 2*x^2)*Log[x] + (2*x + x^2)*Log[x]^2)*Log[2 + x])/(E^2*(2*x + x^2) + E*(4*x + 2*x^2)*Log[x] + (2*x + x^2)*Log[x]^2),x]","x+\frac{(e x+x \log (x)-48 e) \log (x+2)}{\log (x)+e}+48 \log (x+2)","x-\left(-x-\frac{48 \log (x)}{\log (x)+e}\right) \log (x+2)",1,"x + 48*Log[2 + x] + ((-48*E + E*x + x*Log[x])*Log[2 + x])/(E + Log[x])","A",1
7936,1,38,29,0.0290519,"\int \frac{e^x (-1+x) \log (4)+\left(-10+10 e^8 x^2-40 e^4 x^3+30 x^4\right) \log (4)}{2 x^2} \, dx","Integrate[(E^x*(-1 + x)*Log[4] + (-10 + 10*E^8*x^2 - 40*E^4*x^3 + 30*x^4)*Log[4])/(2*x^2),x]","\frac{1}{2} \left(10 x^3-20 e^4 x^2+10 e^8 x+\frac{e^x}{x}+\frac{10}{x}\right) \log (4)","\frac{\left(5 \left(e^4-x\right)^2 x^2+\frac{e^x}{2}+5\right) \log (4)}{x}",1,"((10/x + E^x/x + 10*E^8*x - 20*E^4*x^2 + 10*x^3)*Log[4])/2","A",1
7937,1,14,14,0.153418,"\int \frac{(20+6 x) \log \left(5 x^2+x^3\right)+(-15-3 x) \log ^2\left(5 x^2+x^3\right)}{5 x^4+x^5} \, dx","Integrate[((20 + 6*x)*Log[5*x^2 + x^3] + (-15 - 3*x)*Log[5*x^2 + x^3]^2)/(5*x^4 + x^5),x]","\frac{\log ^2\left(x^2 (x+5)\right)}{x^3}","\frac{\log ^2\left(x^2 (x+5)\right)}{x^3}",1,"Log[x^2*(5 + x)]^2/x^3","A",1
7938,1,51,27,0.0640399,"\int \frac{450 e^{4 x}+e^x x^6+e^{5 x} \left(5625-450 e x+9 e^2 x^2\right)+e^{2 x} \left(12 x^3-12 x^4\right)+e^{3 x} \left(-150 x^3+6 e x^4\right)}{x^6+e^{4 x} \left(5625-450 e x+9 e^2 x^2\right)+e^{2 x} \left(-150 x^3+6 e x^4\right)} \, dx","Integrate[(450*E^(4*x) + E^x*x^6 + E^(5*x)*(5625 - 450*E*x + 9*E^2*x^2) + E^(2*x)*(12*x^3 - 12*x^4) + E^(3*x)*(-150*x^3 + 6*E*x^4))/(x^6 + E^(4*x)*(5625 - 450*E*x + 9*E^2*x^2) + E^(2*x)*(-150*x^3 + 6*E*x^4)),x]","\frac{2 x^4}{(e x-25) \left(x^3+3 e^{2 x+1} x-75 e^{2 x}\right)}+e^x-\frac{50}{e (e x-25)}","e^x-\frac{2}{\frac{1}{3} e^{-2 x} x^2-\frac{25}{x}+e}",1,"E^x - 50/(E*(-25 + E*x)) + (2*x^4)/((-25 + E*x)*(-75*E^(2*x) + 3*E^(1 + 2*x)*x + x^3))","A",1
7939,1,15,18,0.0086645,"\int \frac{e^{\frac{5 e^4+x \log (6-3 x)}{x}} \left(e^4 (10-5 x)+x^2\right)}{-2 x^2+x^3} \, dx","Integrate[(E^((5*E^4 + x*Log[6 - 3*x])/x)*(E^4*(10 - 5*x) + x^2))/(-2*x^2 + x^3),x]","-3 e^{\frac{5 e^4}{x}} (x-2)","e^{\frac{5 e^4}{x}} (6-3 x)-3",1,"-3*E^((5*E^4)/x)*(-2 + x)","A",1
7940,1,33,23,0.8608045,"\int \frac{e^{\frac{1}{225} \left(x^2+6 x \log (x)+9 \log ^2(x)\right)} \left(4950+132 x+50 x^2+2 x^3+\left(396+150 x+6 x^2\right) \log (x)\right)}{108900+9900 x+225 x^2} \, dx","Integrate[(E^((x^2 + 6*x*Log[x] + 9*Log[x]^2)/225)*(4950 + 132*x + 50*x^2 + 2*x^3 + (396 + 150*x + 6*x^2)*Log[x]))/(108900 + 9900*x + 225*x^2),x]","\frac{x^{\frac{2 x}{75}+1} e^{\frac{x^2}{225}+\frac{\log ^2(x)}{25}}}{x+22}","\frac{x e^{\frac{1}{25} \left(\frac{x}{3}+\log (x)\right)^2}}{x+22}",1,"(E^(x^2/225 + Log[x]^2/25)*x^(1 + (2*x)/75))/(22 + x)","A",1
7941,1,26,18,0.002981,"\int \frac{-96768+5 x^2+7040 \log (x)-128 \log ^2(x)}{x^3} \, dx","Integrate[(-96768 + 5*x^2 + 7040*Log[x] - 128*Log[x]^2)/x^3,x]","\frac{46656}{x^2}+\frac{64 \log ^2(x)}{x^2}-\frac{3456 \log (x)}{x^2}+5 \log (x)","\frac{16 (54-2 \log (x))^2}{x^2}+5 \log (x)",1,"46656/x^2 + 5*Log[x] - (3456*Log[x])/x^2 + (64*Log[x]^2)/x^2","A",1
7942,1,19,19,0.3526336,"\int \frac{-1024 e^{2 x} x^2+e^x (192+192 x)}{9+e^x \left(192 x+96 x^2\right)+e^{2 x} \left(1024 x^2+1024 x^3+256 x^4\right)} \, dx","Integrate[(-1024*E^(2*x)*x^2 + E^x*(192 + 192*x))/(9 + E^x*(192*x + 96*x^2) + E^(2*x)*(1024*x^2 + 1024*x^3 + 256*x^4)),x]","\frac{64 e^x x}{16 e^x x (x+2)+3}","\frac{4}{x+\frac{3 e^{-x}}{16 x}+2}",1,"(64*E^x*x)/(3 + 16*E^x*x*(2 + x))","A",1
7943,1,323,37,0.3464542,"\int \frac{40 x-5 x^3+x^4+e \left(100 x^2-40 x^3+4 x^4\right)+\left(-20 x+4 x^2+e \left(400-160 x+16 x^2\right)\right) \log \left(\frac{x^2+e \left(-40 x+8 x^2\right)+e^2 \left(400-160 x+16 x^2\right)}{400-160 x+16 x^2}\right)}{-60 x^3+12 x^4+e \left(1200 x^2-480 x^3+48 x^4\right)} \, dx","Integrate[(40*x - 5*x^3 + x^4 + E*(100*x^2 - 40*x^3 + 4*x^4) + (-20*x + 4*x^2 + E*(400 - 160*x + 16*x^2))*Log[(x^2 + E*(-40*x + 8*x^2) + E^2*(400 - 160*x + 16*x^2))/(400 - 160*x + 16*x^2)])/(-60*x^3 + 12*x^4 + E*(1200*x^2 - 480*x^3 + 48*x^4)),x]","\frac{5 e x^2-(1+4 e)^2 x \log ^2(-4 e (x-5)-x)+16 e^2 x \log ^2\left(\frac{5}{4 e (x-5)+x}\right)+8 e x \log ^2\left(\frac{5}{4 e (x-5)+x}\right)+x \log ^2\left(\frac{5}{4 e (x-5)+x}\right)+2 (1+4 e)^2 x \log \left(-\frac{1}{5} (1+4 e) (x-5)\right) \log \left(\frac{5}{4 e (x-5)+x}\right)+16 e^2 x \log \left(\frac{5}{4 e (x-5)+x}\right) \log \left(\frac{(4 e (x-5)+x)^2}{16 (x-5)^2}\right)+8 e x \log \left(\frac{5}{4 e (x-5)+x}\right) \log \left(\frac{(4 e (x-5)+x)^2}{16 (x-5)^2}\right)+x \log \left(\frac{5}{4 e (x-5)+x}\right) \log \left(\frac{(4 e (x-5)+x)^2}{16 (x-5)^2}\right)+(1+4 e)^2 x \log (-4 e (x-5)-x) \left(2 \log \left(-\frac{1}{5} (1+4 e) (x-5)\right)+\log \left(\frac{(4 e (x-5)+x)^2}{16 (x-5)^2}\right)\right)-20 e \log \left(\frac{(4 e (x-5)+x)^2}{16 (x-5)^2}\right)}{60 e x}","\frac{\frac{x^2}{4}-x-\log \left(\left(e-\frac{x}{4 (5-x)}\right)^2\right)}{3 x}",1,"(5*E*x^2 - (1 + 4*E)^2*x*Log[-4*E*(-5 + x) - x]^2 + 2*(1 + 4*E)^2*x*Log[-1/5*((1 + 4*E)*(-5 + x))]*Log[5/(4*E*(-5 + x) + x)] + x*Log[5/(4*E*(-5 + x) + x)]^2 + 8*E*x*Log[5/(4*E*(-5 + x) + x)]^2 + 16*E^2*x*Log[5/(4*E*(-5 + x) + x)]^2 - 20*E*Log[(4*E*(-5 + x) + x)^2/(16*(-5 + x)^2)] + x*Log[5/(4*E*(-5 + x) + x)]*Log[(4*E*(-5 + x) + x)^2/(16*(-5 + x)^2)] + 8*E*x*Log[5/(4*E*(-5 + x) + x)]*Log[(4*E*(-5 + x) + x)^2/(16*(-5 + x)^2)] + 16*E^2*x*Log[5/(4*E*(-5 + x) + x)]*Log[(4*E*(-5 + x) + x)^2/(16*(-5 + x)^2)] + (1 + 4*E)^2*x*Log[-4*E*(-5 + x) - x]*(2*Log[-1/5*((1 + 4*E)*(-5 + x))] + Log[(4*E*(-5 + x) + x)^2/(16*(-5 + x)^2)]))/(60*E*x)","B",1
7944,1,52,24,0.0849324,"\int \frac{-256+192 x-48 x^2+4 x^3+e^{2 x} (-10+2 x) \log (16)+\left(256-192 x+48 x^2-4 x^3\right) \log (16)}{-256 x+192 x^2-48 x^3+4 x^4+e^{2 x} (-4+x) \log (16)+\left(256 x-192 x^2+48 x^3-4 x^4\right) \log (16)} \, dx","Integrate[(-256 + 192*x - 48*x^2 + 4*x^3 + E^(2*x)*(-10 + 2*x)*Log[16] + (256 - 192*x + 48*x^2 - 4*x^3)*Log[16])/(-256*x + 192*x^2 - 48*x^3 + 4*x^4 + E^(2*x)*(-4 + x)*Log[16] + (256*x - 192*x^2 + 48*x^3 - 4*x^4)*Log[16]),x]","\log \left(-4 x^3+4 x^3 \log (16)+32 x^2-32 x^2 \log (16)-64 x+64 x \log (16)-e^{2 x} \log (16)\right)-2 \log (4-x)","\log \left(\frac{e^{2 x}}{(x-4)^2}-4 \left(x-\frac{x}{\log (16)}\right)\right)",1,"-2*Log[4 - x] + Log[-64*x + 32*x^2 - 4*x^3 - E^(2*x)*Log[16] + 64*x*Log[16] - 32*x^2*Log[16] + 4*x^3*Log[16]]","B",1
7945,1,22,24,0.2842844,"\int \frac{e^x \left(192 x^2-23 x^4+9 x^5\right)}{16384-16384 x+8704 x^2-2304 x^3+324 x^4} \, dx","Integrate[(E^x*(192*x^2 - 23*x^4 + 9*x^5))/(16384 - 16384*x + 8704*x^2 - 2304*x^3 + 324*x^4),x]","\frac{e^x x^3}{4 \left(9 x^2-32 x+64\right)}","\frac{e^x x}{4 \left(\frac{4 (4-x)^2}{x^2}+5\right)}",1,"(E^x*x^3)/(4*(64 - 32*x + 9*x^2))","A",1
7946,1,22,22,0.0136315,"\int \frac{12-3 e^{25+x} x^2+e^{25} \left(-12-33 x^2\right)}{e^{25} x^2} \, dx","Integrate[(12 - 3*E^(25 + x)*x^2 + E^25*(-12 - 33*x^2))/(E^25*x^2),x]","-33 x-3 e^x-\frac{12}{e^{25} x}+\frac{12}{x}","3 \left(-11 x-e^x+\frac{4-\frac{4}{e^{25}}}{x}\right)",1,"-3*E^x + 12/x - 12/(E^25*x) - 33*x","A",1
7947,1,17,14,0.0088882,"\int \frac{2+56 x^2+6 x^3+\left(-4+6 x^3\right) \log (x)}{x^3} \, dx","Integrate[(2 + 56*x^2 + 6*x^3 + (-4 + 6*x^3)*Log[x])/x^3,x]","\frac{2 \log (x)}{x^2}+6 x \log (x)+56 \log (x)","2 \left(\frac{1}{x^2}+3 (x+8)+4\right) \log (x)",1,"56*Log[x] + (2*Log[x])/x^2 + 6*x*Log[x]","A",1
7948,0,0,17,1.3245146,"\int \exp \left(x^2-6 x^3+9 x^4+2 x^5-6 x^6+x^8+\left(2 x^3-6 x^4+2 x^6\right) \log (2)+x^4 \log ^2(2)\right) \left(2 x-18 x^2+36 x^3+10 x^4-36 x^5+8 x^7+\left(6 x^2-24 x^3+12 x^5\right) \log (2)+4 x^3 \log ^2(2)\right) \, dx","Integrate[E^(x^2 - 6*x^3 + 9*x^4 + 2*x^5 - 6*x^6 + x^8 + (2*x^3 - 6*x^4 + 2*x^6)*Log[2] + x^4*Log[2]^2)*(2*x - 18*x^2 + 36*x^3 + 10*x^4 - 36*x^5 + 8*x^7 + (6*x^2 - 24*x^3 + 12*x^5)*Log[2] + 4*x^3*Log[2]^2),x]","\int \exp \left(x^2-6 x^3+9 x^4+2 x^5-6 x^6+x^8+\left(2 x^3-6 x^4+2 x^6\right) \log (2)+x^4 \log ^2(2)\right) \left(2 x-18 x^2+36 x^3+10 x^4-36 x^5+8 x^7+\left(6 x^2-24 x^3+12 x^5\right) \log (2)+4 x^3 \log ^2(2)\right) \, dx","e^{\left(x^2 \left(x^2-3+\log (2)\right)+x\right)^2}",1,"Integrate[E^(x^2 - 6*x^3 + 9*x^4 + 2*x^5 - 6*x^6 + x^8 + (2*x^3 - 6*x^4 + 2*x^6)*Log[2] + x^4*Log[2]^2)*(2*x - 18*x^2 + 36*x^3 + 10*x^4 - 36*x^5 + 8*x^7 + (6*x^2 - 24*x^3 + 12*x^5)*Log[2] + 4*x^3*Log[2]^2), x]","F",-1
7949,1,53,27,0.088264,"\int \frac{-645248-249920 x+38032 x^2+848 x^3+4 x^4+\left(1290496-147680 x-4512 x^2-24 x^3\right) \log \left(x^2\right)+\left(4544 x+32 x^2\right) \log ^2\left(x^2\right)}{6505390336 x+13194031104 x^2+10126522112 x^3+3531451392 x^4+501133920 x^5+12434688 x^6+125552 x^7+576 x^8+x^9+\left(-161312 x-163584 x^2-42608 x^3-576 x^4-2 x^5\right) \log (5)+x \log ^2(5)+\left(-52043122688 x-79530687488 x^2-41246833152 x^3-7628194560 x^4-194974080 x^5-1990464 x^6-9184 x^7-16 x^8+\left(645248 x+331712 x^2+4576 x^3+16 x^4\right) \log (5)\right) \log \left(x^2\right)+\left(156129368064 x+160527378432 x^2+43476810240 x^3+1146178560 x^4+11832960 x^5+54912 x^6+96 x^7+\left(-645248 x-9088 x^2-32 x^3\right) \log (5)\right) \log ^2\left(x^2\right)+\left(-208172490752 x-109950259200 x^2-2993950720 x^3-31262720 x^4-145920 x^5-256 x^6\right) \log ^3\left(x^2\right)+\left(104086245376 x+2932006912 x^2+30971904 x^3+145408 x^4+256 x^5\right) \log ^4\left(x^2\right)} \, dx","Integrate[(-645248 - 249920*x + 38032*x^2 + 848*x^3 + 4*x^4 + (1290496 - 147680*x - 4512*x^2 - 24*x^3)*Log[x^2] + (4544*x + 32*x^2)*Log[x^2]^2)/(6505390336*x + 13194031104*x^2 + 10126522112*x^3 + 3531451392*x^4 + 501133920*x^5 + 12434688*x^6 + 125552*x^7 + 576*x^8 + x^9 + (-161312*x - 163584*x^2 - 42608*x^3 - 576*x^4 - 2*x^5)*Log[5] + x*Log[5]^2 + (-52043122688*x - 79530687488*x^2 - 41246833152*x^3 - 7628194560*x^4 - 194974080*x^5 - 1990464*x^6 - 9184*x^7 - 16*x^8 + (645248*x + 331712*x^2 + 4576*x^3 + 16*x^4)*Log[5])*Log[x^2] + (156129368064*x + 160527378432*x^2 + 43476810240*x^3 + 1146178560*x^4 + 11832960*x^5 + 54912*x^6 + 96*x^7 + (-645248*x - 9088*x^2 - 32*x^3)*Log[5])*Log[x^2]^2 + (-208172490752*x - 109950259200*x^2 - 2993950720*x^3 - 31262720*x^4 - 145920*x^5 - 256*x^6)*Log[x^2]^3 + (104086245376*x + 2932006912*x^2 + 30971904*x^3 + 145408*x^4 + 256*x^5)*Log[x^2]^4),x]","-\frac{1}{x^4+288 x^3+21304 x^2+16 (x+142)^2 \log ^2\left(x^2\right)-8 (x+2) (x+142)^2 \log \left(x^2\right)+81792 x+80656-\log (5)}","\frac{1}{\log (5)-(-x-142)^2 \left(4 \log \left(x^2\right)-x-2\right)^2}",1,"-(80656 + 81792*x + 21304*x^2 + 288*x^3 + x^4 - Log[5] - 8*(2 + x)*(142 + x)^2*Log[x^2] + 16*(142 + x)^2*Log[x^2]^2)^(-1)","A",1
7950,0,0,32,6.7166416,"\int \frac{\exp \left(-\frac{6}{e^{e^{5 x}}-x^4-2 x^3 \log (5)-x^2 \log ^2(5)+\left(-2 x^3-2 x^2 \log (5)\right) \log (x)-x^2 \log ^2(x)}\right) \left(-30 e^{e^{5 x}+5 x}+12 x^2+24 x^3+\left(12 x+36 x^2\right) \log (5)+12 x \log ^2(5)+\left(12 x+36 x^2+24 x \log (5)\right) \log (x)+12 x \log ^2(x)\right)}{e^{2 e^{5 x}}+x^8+4 x^7 \log (5)+6 x^6 \log ^2(5)+4 x^5 \log ^3(5)+x^4 \log ^4(5)+\left(4 x^7+12 x^6 \log (5)+12 x^5 \log ^2(5)+4 x^4 \log ^3(5)\right) \log (x)+\left(6 x^6+12 x^5 \log (5)+6 x^4 \log ^2(5)\right) \log ^2(x)+\left(4 x^5+4 x^4 \log (5)\right) \log ^3(x)+x^4 \log ^4(x)+e^{e^{5 x}} \left(-2 x^4-4 x^3 \log (5)-2 x^2 \log ^2(5)+\left(-4 x^3-4 x^2 \log (5)\right) \log (x)-2 x^2 \log ^2(x)\right)} \, dx","Integrate[(-30*E^(E^(5*x) + 5*x) + 12*x^2 + 24*x^3 + (12*x + 36*x^2)*Log[5] + 12*x*Log[5]^2 + (12*x + 36*x^2 + 24*x*Log[5])*Log[x] + 12*x*Log[x]^2)/(E^(6/(E^E^(5*x) - x^4 - 2*x^3*Log[5] - x^2*Log[5]^2 + (-2*x^3 - 2*x^2*Log[5])*Log[x] - x^2*Log[x]^2))*(E^(2*E^(5*x)) + x^8 + 4*x^7*Log[5] + 6*x^6*Log[5]^2 + 4*x^5*Log[5]^3 + x^4*Log[5]^4 + (4*x^7 + 12*x^6*Log[5] + 12*x^5*Log[5]^2 + 4*x^4*Log[5]^3)*Log[x] + (6*x^6 + 12*x^5*Log[5] + 6*x^4*Log[5]^2)*Log[x]^2 + (4*x^5 + 4*x^4*Log[5])*Log[x]^3 + x^4*Log[x]^4 + E^E^(5*x)*(-2*x^4 - 4*x^3*Log[5] - 2*x^2*Log[5]^2 + (-4*x^3 - 4*x^2*Log[5])*Log[x] - 2*x^2*Log[x]^2))),x]","\int \frac{\exp \left(-\frac{6}{e^{e^{5 x}}-x^4-2 x^3 \log (5)-x^2 \log ^2(5)+\left(-2 x^3-2 x^2 \log (5)\right) \log (x)-x^2 \log ^2(x)}\right) \left(-30 e^{e^{5 x}+5 x}+12 x^2+24 x^3+\left(12 x+36 x^2\right) \log (5)+12 x \log ^2(5)+\left(12 x+36 x^2+24 x \log (5)\right) \log (x)+12 x \log ^2(x)\right)}{e^{2 e^{5 x}}+x^8+4 x^7 \log (5)+6 x^6 \log ^2(5)+4 x^5 \log ^3(5)+x^4 \log ^4(5)+\left(4 x^7+12 x^6 \log (5)+12 x^5 \log ^2(5)+4 x^4 \log ^3(5)\right) \log (x)+\left(6 x^6+12 x^5 \log (5)+6 x^4 \log ^2(5)\right) \log ^2(x)+\left(4 x^5+4 x^4 \log (5)\right) \log ^3(x)+x^4 \log ^4(x)+e^{e^{5 x}} \left(-2 x^4-4 x^3 \log (5)-2 x^2 \log ^2(5)+\left(-4 x^3-4 x^2 \log (5)\right) \log (x)-2 x^2 \log ^2(x)\right)} \, dx","4-e^{\frac{6}{x^2 (x+\log (x)+\log (5))^2-e^{e^{5 x}}}}",1,"Integrate[(-30*E^(E^(5*x) + 5*x) + 12*x^2 + 24*x^3 + (12*x + 36*x^2)*Log[5] + 12*x*Log[5]^2 + (12*x + 36*x^2 + 24*x*Log[5])*Log[x] + 12*x*Log[x]^2)/(E^(6/(E^E^(5*x) - x^4 - 2*x^3*Log[5] - x^2*Log[5]^2 + (-2*x^3 - 2*x^2*Log[5])*Log[x] - x^2*Log[x]^2))*(E^(2*E^(5*x)) + x^8 + 4*x^7*Log[5] + 6*x^6*Log[5]^2 + 4*x^5*Log[5]^3 + x^4*Log[5]^4 + (4*x^7 + 12*x^6*Log[5] + 12*x^5*Log[5]^2 + 4*x^4*Log[5]^3)*Log[x] + (6*x^6 + 12*x^5*Log[5] + 6*x^4*Log[5]^2)*Log[x]^2 + (4*x^5 + 4*x^4*Log[5])*Log[x]^3 + x^4*Log[x]^4 + E^E^(5*x)*(-2*x^4 - 4*x^3*Log[5] - 2*x^2*Log[5]^2 + (-4*x^3 - 4*x^2*Log[5])*Log[x] - 2*x^2*Log[x]^2))), x]","F",-1
7951,1,32,22,0.0066322,"\int \frac{4+2 x^3-4 x^6+e^5 \left(-4 x^2+2 x^5\right)}{x^5} \, dx","Integrate[(4 + 2*x^3 - 4*x^6 + E^5*(-4*x^2 + 2*x^5))/x^5,x]","2 \left(-\frac{1}{2 x^4}-x^2+\frac{e^5}{x^2}+e^5 x-\frac{1}{x}\right)","-\left(-\frac{1}{x^2}-x+e^5\right)^2-x^2",1,"2*(-1/2*1/x^4 + E^5/x^2 - x^(-1) + E^5*x - x^2)","A",1
7952,1,28,25,0.0134529,"\int \frac{2 x+4 e x+2 e^2 x-15 x^2-25 x^4-12 x^6}{1+2 x^2+x^4} \, dx","Integrate[(2*x + 4*E*x + 2*E^2*x - 15*x^2 - 25*x^4 - 12*x^6)/(1 + 2*x^2 + x^4),x]","-4 x^3+\frac{x-e^2-2 e-1}{x^2+1}-x","x^2 \left(\frac{(1+e)^2-x}{x^2+1}-4 x\right)",1,"-x - 4*x^3 + (-1 - 2*E - E^2 + x)/(1 + x^2)","A",1
7953,1,21,21,0.3984647,"\int \frac{(-4-8 e) \exp \left(-1+\exp \left(\frac{4+3 \log (\log (3+x+2 e x))}{\log (\log (3+x+2 e x))}\right)+\frac{4+3 \log (\log (3+x+2 e x))}{\log (\log (3+x+2 e x))}\right)}{(3+x+2 e x) \log (3+x+2 e x) \log ^2(\log (3+x+2 e x))} \, dx","Integrate[((-4 - 8*E)*E^(-1 + E^((4 + 3*Log[Log[3 + x + 2*E*x]])/Log[Log[3 + x + 2*E*x]]) + (4 + 3*Log[Log[3 + x + 2*E*x]])/Log[Log[3 + x + 2*E*x]]))/((3 + x + 2*E*x)*Log[3 + x + 2*E*x]*Log[Log[3 + x + 2*E*x]]^2),x]","e^{e^{\frac{4}{\log (\log (2 e x+x+3))}+3}-1}","e^{e^{\frac{4}{\log (\log (2 e x+x+3))}+3}-1}",1,"E^(-1 + E^(3 + 4/Log[Log[3 + x + 2*E*x]]))","A",1
7954,1,9,18,0.0001012,"\int (231-4 x) \, dx","Integrate[231 - 4*x,x]","231 x-2 x^2","-2 x^2+231 x+6+2 (3-\log (3))",1,"231*x - 2*x^2","A",1
7955,1,25,26,0.1704072,"\int \frac{35-16 x+x^2+(-5+2 x) \log \left(\frac{1}{100} e^{-x} x^3\right)}{\left(20 x-4 x^2+\left(-5 x+x^2\right) \log \left(\frac{1}{100} e^{-x} x^3\right)\right) \log \left(\frac{5 x-x^2}{-4+\log \left(\frac{1}{100} e^{-x} x^3\right)}\right)} \, dx","Integrate[(35 - 16*x + x^2 + (-5 + 2*x)*Log[x^3/(100*E^x)])/((20*x - 4*x^2 + (-5*x + x^2)*Log[x^3/(100*E^x)])*Log[(5*x - x^2)/(-4 + Log[x^3/(100*E^x)])]),x]","\log \left(\log \left(-\frac{(x-5) x}{\log \left(\frac{1}{100} e^{-x} x^3\right)-4}\right)\right)","\log \left(\log \left(\frac{(x-5) x}{4-\log \left(\frac{1}{100} e^{-x} x^3\right)}\right)\right)",1,"Log[Log[-(((-5 + x)*x)/(-4 + Log[x^3/(100*E^x)]))]]","A",1
7956,1,32,28,0.0155122,"\int \frac{e^{27} \left(-250 e^3-750 e^5-750 e^7-250 e^9\right)}{-216+e^9 \left(e (-1080+540 x)+e^3 (-1080+540 x)\right)+e^{18} \left(e^4 \left(-3600+3600 x-900 x^2\right)+e^2 \left(-1800+1800 x-450 x^2\right)+e^6 \left(-1800+1800 x-450 x^2\right)\right)+e^{27} \left(e^3 \left(-1000+1500 x-750 x^2+125 x^3\right)+e^9 \left(-1000+1500 x-750 x^2+125 x^3\right)+e^5 \left(-3000+4500 x-2250 x^2+375 x^3\right)+e^7 \left(-3000+4500 x-2250 x^2+375 x^3\right)\right)} \, dx","Integrate[(E^27*(-250*E^3 - 750*E^5 - 750*E^7 - 250*E^9))/(-216 + E^9*(E*(-1080 + 540*x) + E^3*(-1080 + 540*x)) + E^18*(E^4*(-3600 + 3600*x - 900*x^2) + E^2*(-1800 + 1800*x - 450*x^2) + E^6*(-1800 + 1800*x - 450*x^2)) + E^27*(E^3*(-1000 + 1500*x - 750*x^2 + 125*x^3) + E^9*(-1000 + 1500*x - 750*x^2 + 125*x^3) + E^5*(-3000 + 4500*x - 2250*x^2 + 375*x^3) + E^7*(-3000 + 4500*x - 2250*x^2 + 375*x^3))),x]","\frac{25 e^{20} \left(1+e^2\right)^2}{\left(5 e^{12} (x-2)+5 e^{10} (x-2)-6\right)^2}","\frac{x^2}{\left(x^2-\frac{6 x}{5 e^9 \left(e+e^3\right)}-2 x\right)^2}",1,"(25*E^20*(1 + E^2)^2)/(-6 + 5*E^10*(-2 + x) + 5*E^12*(-2 + x))^2","A",1
7957,1,23,24,0.0014382,"\int \frac{-3-2 e^3-2 x+\log (2)}{e^3} \, dx","Integrate[(-3 - 2*E^3 - 2*x + Log[2])/E^3,x]","\frac{-x^2-2 e^3 x-3 x+x \log (2)}{e^3}","-2 x+\frac{-3 x+x (\log (2)-x)-1}{e^3}+e^2",1,"(-3*x - 2*E^3*x - x^2 + x*Log[2])/E^3","A",1
7958,1,23,23,0.3128328,"\int \frac{-1-3 x-2 \log (x)+(-x-\log (x)) \log \left(x^3+x^2 \log (x)\right)+(-x-\log (x)) \log \left(x^3+x^2 \log (x)\right) \log \left(\frac{1}{4 x \log \left(x^3+x^2 \log (x)\right)}\right)}{\left(x^3+x^2 \log (x)\right) \log \left(x^3+x^2 \log (x)\right)} \, dx","Integrate[(-1 - 3*x - 2*Log[x] + (-x - Log[x])*Log[x^3 + x^2*Log[x]] + (-x - Log[x])*Log[x^3 + x^2*Log[x]]*Log[1/(4*x*Log[x^3 + x^2*Log[x]])])/((x^3 + x^2*Log[x])*Log[x^3 + x^2*Log[x]]),x]","\frac{\log \left(\frac{1}{4 x \log \left(x^2 (x+\log (x))\right)}\right)}{x}","\frac{\log \left(\frac{1}{4 x \log \left(x^2 (x+\log (x))\right)}\right)}{x}",1,"Log[1/(4*x*Log[x^2*(x + Log[x])])]/x","A",1
7959,1,33,30,0.6447466,"\int \frac{24 e^{-2 x+2 x^2}+e^{-x+x^2} x+e^{-x+x^2} \left(-24+x^2-2 x^3\right) \log (x)+6 \log ^2(x)}{36 e^{-2 x+2 x^2} x^2-36 e^{-x+x^2} x^2 \log (x)+9 x^2 \log ^2(x)} \, dx","Integrate[(24*E^(-2*x + 2*x^2) + E^(-x + x^2)*x + E^(-x + x^2)*(-24 + x^2 - 2*x^3)*Log[x] + 6*Log[x]^2)/(36*E^(-2*x + 2*x^2)*x^2 - 36*E^(-x + x^2)*x^2*Log[x] + 9*x^2*Log[x]^2),x]","\frac{1}{9} \left(-\frac{e^{x^2}}{e^x \log (x)-2 e^{x^2}}-\frac{6}{x}\right)","\frac{-\frac{x}{3 e^{x-x^2} \log (x)-6}+x-2}{3 x}",1,"(-6/x - E^x^2/(-2*E^x^2 + E^x*Log[x]))/9","A",1
7960,1,7,7,0.0023241,"\int -\frac{1}{e^{10}+2 e^5 x+x^2} \, dx","Integrate[-(E^10 + 2*E^5*x + x^2)^(-1),x]","\frac{1}{x+e^5}","\frac{1}{x+e^5}",1,"(E^5 + x)^(-1)","A",1
7961,1,47,29,0.0574219,"\int \frac{150+355 x+359 x^2-40 x^3-375 x^4-125 x^5+\left(25 x^2+80 x^3+114 x^4+80 x^5+25 x^6\right) \log (x)}{-150 x-605 x^2-884 x^3-605 x^4-150 x^5+\left(25 x^2+80 x^3+114 x^4+80 x^5+25 x^6\right) \log (x)} \, dx","Integrate[(150 + 355*x + 359*x^2 - 40*x^3 - 375*x^4 - 125*x^5 + (25*x^2 + 80*x^3 + 114*x^4 + 80*x^5 + 25*x^6)*Log[x])/(-150*x - 605*x^2 - 884*x^3 - 605*x^4 - 150*x^5 + (25*x^2 + 80*x^3 + 114*x^4 + 80*x^5 + 25*x^6)*Log[x]),x]","-\log \left(x \left(5 x^2+8 x+5\right)\right)+\log \left(-5 x^3 \log (x)+30 x^2-8 x^2 \log (x)+73 x-5 x \log (x)+30\right)+x","x+\log \left(\frac{6}{x}+\frac{5}{(x+1)^2-\frac{2 x}{5}}-\log (x)\right)+2",1,"x - Log[x*(5 + 8*x + 5*x^2)] + Log[30 + 73*x + 30*x^2 - 5*x*Log[x] - 8*x^2*Log[x] - 5*x^3*Log[x]]","A",1
7962,1,24,28,0.2498231,"\int \frac{e^{8-2 x} \left(1+x^2\right)+e^{4-x} (-2-x) \log (4)+\log ^2(4)}{e^{8-2 x} x^2-2 e^{4-x} x \log (4)+\log ^2(4)} \, dx","Integrate[(E^(8 - 2*x)*(1 + x^2) + E^(4 - x)*(-2 - x)*Log[4] + Log[4]^2)/(E^(8 - 2*x)*x^2 - 2*E^(4 - x)*x*Log[4] + Log[4]^2),x]","x+\frac{e^4 (x-1)}{e^4 x-e^x \log (4)}","\frac{1-x}{e^{x-4} \log (4)-x}+\log \left(e^{x+2}\right)-4",1,"x + (E^4*(-1 + x))/(E^4*x - E^x*Log[4])","A",1
7963,1,12,22,0.029271,"\int e^{-5+x} \left(-2+e^5 (-1+x)\right) \, dx","Integrate[E^(-5 + x)*(-2 + E^5*(-1 + x)),x]","e^x \left(x-\frac{2}{e^5}-2\right)","-\frac{2 \left(1+e^5\right) \left(e^x+3\right)}{e^5}+e^x x+3",1,"E^x*(-2 - 2/E^5 + x)","A",1
7964,1,16,15,0.0000785,"\int \frac{1}{5} \left(84+4 e^{3/16}\right) \, dx","Integrate[(84 + 4*E^(3/16))/5,x]","\frac{4}{5} e^{3/16} x+\frac{84 x}{5}","\frac{4}{5} \left(\left(21+e^{3/16}\right) x+5\right)",1,"(84*x)/5 + (4*E^(3/16)*x)/5","A",1
7965,1,30,21,0.1353381,"\int \frac{e^2 x-x^2+\left(x^2+2 x^3+e^4 (1+2 x)+e^2 \left(-2 x-4 x^2\right)\right) \log (x)+\left(2 e^2 x-x^2\right) \log (x) \log (\log (x))}{\left(e^4-2 e^2 x+x^2\right) \log (x)} \, dx","Integrate[(E^2*x - x^2 + (x^2 + 2*x^3 + E^4*(1 + 2*x) + E^2*(-2*x - 4*x^2))*Log[x] + (2*E^2*x - x^2)*Log[x]*Log[Log[x]])/((E^4 - 2*E^2*x + x^2)*Log[x]),x]","\frac{x \left(-\left(\left(e^2-x\right) (x+1)\right)-x \log (\log (x))\right)}{x-e^2}","x^2+\frac{x^2 \log (\log (x))}{e^2-x}+x",1,"(x*(-((E^2 - x)*(1 + x)) - x*Log[Log[x]]))/(-E^2 + x)","A",1
7966,1,40,24,0.1736314,"\int \frac{\exp \left(\frac{2+8 x+2 x^2+\left(x+2 x^2+x^3\right) \log \left(\frac{1}{x}\right)}{2+2 x+\left(x+x^2\right) \log \left(\frac{1}{x}\right)}\right) \left(12+12 x+8 x^2+\left(4 x+4 x^2+4 x^3\right) \log \left(\frac{1}{x}\right)+\left(x^2+2 x^3+x^4\right) \log ^2\left(\frac{1}{x}\right)\right)}{4+8 x+4 x^2+\left(4 x+8 x^2+4 x^3\right) \log \left(\frac{1}{x}\right)+\left(x^2+2 x^3+x^4\right) \log ^2\left(\frac{1}{x}\right)} \, dx","Integrate[(E^((2 + 8*x + 2*x^2 + (x + 2*x^2 + x^3)*Log[x^(-1)])/(2 + 2*x + (x + x^2)*Log[x^(-1)]))*(12 + 12*x + 8*x^2 + (4*x + 4*x^2 + 4*x^3)*Log[x^(-1)] + (x^2 + 2*x^3 + x^4)*Log[x^(-1)]^2))/(4 + 8*x + 4*x^2 + (4*x + 8*x^2 + 4*x^3)*Log[x^(-1)] + (x^2 + 2*x^3 + x^4)*Log[x^(-1)]^2),x]","\exp \left(\frac{2 \left(x^2+4 x+1\right)+x (x+1)^2 \log \left(\frac{1}{x}\right)}{(x+1) \left(x \log \left(\frac{1}{x}\right)+2\right)}\right)","e^{x+\frac{4}{(x+1) \left(\frac{2}{x}+\log \left(\frac{1}{x}\right)\right)}+1}",1,"E^((2*(1 + 4*x + x^2) + x*(1 + x)^2*Log[x^(-1)])/((1 + x)*(2 + x*Log[x^(-1)])))","A",1
7967,1,28,18,0.0905492,"\int \frac{-1-3 x-6 x^2-7 x^3-6 x^4-3 x^5-x^6+\exp \left(\frac{2+4 x+6 x^2+5 x^3+2 x^4}{1+2 x+3 x^2+2 x^3+x^4}\right) \left(3 x^2+x^3-x^4\right)}{1+3 x+6 x^2+7 x^3+6 x^4+3 x^5+x^6} \, dx","Integrate[(-1 - 3*x - 6*x^2 - 7*x^3 - 6*x^4 - 3*x^5 - x^6 + E^((2 + 4*x + 6*x^2 + 5*x^3 + 2*x^4)/(1 + 2*x + 3*x^2 + 2*x^3 + x^4))*(3*x^2 + x^3 - x^4))/(1 + 3*x + 6*x^2 + 7*x^3 + 6*x^4 + 3*x^5 + x^6),x]","e^{\frac{x-1}{x^2+x+1}+\frac{1}{\left(x^2+x+1\right)^2}+2}-x","e^{\frac{x}{\left(x+\frac{1}{x}+1\right)^2}+2}-x",1,"E^(2 + (1 + x + x^2)^(-2) + (-1 + x)/(1 + x + x^2)) - x","A",1
7968,1,27,16,0.1484566,"\int \frac{e^x \left(6+6 x+3 x^2\right)}{32+32 x+8 x^2+e^x \left(6 x+3 x^2\right)} \, dx","Integrate[(E^x*(6 + 6*x + 3*x^2))/(32 + 32*x + 8*x^2 + E^x*(6*x + 3*x^2)),x]","3 \left(\frac{1}{3} \log \left(3 e^x x+8 x+16\right)-\frac{1}{3} \log (x+2)\right)","\log \left(\frac{3 e^x x}{2 (x+2)}+4\right)",1,"3*(-1/3*Log[2 + x] + Log[16 + 8*x + 3*E^x*x]/3)","A",1
7969,1,104,27,0.2315765,"\int \frac{-320+480 x^2+320 x^3+60 x^4+e^{\frac{4}{5} (40+3 x)} (-20+48 x)+e^{\frac{3}{5} (40+3 x)} \left(160-288 x-144 x^2\right)+e^{\frac{2}{5} (40+3 x)} \left(-480+576 x+696 x^2+144 x^3\right)+e^{\frac{1}{5} (40+3 x)} \left(640-384 x-1056 x^2-448 x^3-48 x^4\right)+\left(160 x+10 e^{\frac{4}{5} (40+3 x)} x+320 x^2+240 x^3+80 x^4+10 x^5+e^{\frac{3}{5} (40+3 x)} \left(-80 x-40 x^2\right)+e^{\frac{2}{5} (40+3 x)} \left(240 x+240 x^2+60 x^3\right)+e^{\frac{1}{5} (40+3 x)} \left(-320 x-480 x^2-240 x^3-40 x^4\right)\right) \log (x)+\left(160 x^2+12 e^{\frac{4}{5} (40+3 x)} x^2+240 x^3+120 x^4+20 x^5+e^{\frac{3}{5} (40+3 x)} \left(-92 x^2-36 x^3\right)+e^{\frac{2}{5} (40+3 x)} \left(264 x^2+204 x^3+36 x^4\right)+e^{\frac{1}{5} (40+3 x)} \left(-336 x^2-384 x^3-132 x^4-12 x^5\right)\right) \log ^2(x)}{5 x^2} \, dx","Integrate[(-320 + 480*x^2 + 320*x^3 + 60*x^4 + E^((4*(40 + 3*x))/5)*(-20 + 48*x) + E^((3*(40 + 3*x))/5)*(160 - 288*x - 144*x^2) + E^((2*(40 + 3*x))/5)*(-480 + 576*x + 696*x^2 + 144*x^3) + E^((40 + 3*x)/5)*(640 - 384*x - 1056*x^2 - 448*x^3 - 48*x^4) + (160*x + 10*E^((4*(40 + 3*x))/5)*x + 320*x^2 + 240*x^3 + 80*x^4 + 10*x^5 + E^((3*(40 + 3*x))/5)*(-80*x - 40*x^2) + E^((2*(40 + 3*x))/5)*(240*x + 240*x^2 + 60*x^3) + E^((40 + 3*x)/5)*(-320*x - 480*x^2 - 240*x^3 - 40*x^4))*Log[x] + (160*x^2 + 12*E^((4*(40 + 3*x))/5)*x^2 + 240*x^3 + 120*x^4 + 20*x^5 + E^((3*(40 + 3*x))/5)*(-92*x^2 - 36*x^3) + E^((2*(40 + 3*x))/5)*(264*x^2 + 204*x^3 + 36*x^4) + E^((40 + 3*x)/5)*(-336*x^2 - 384*x^3 - 132*x^4 - 12*x^5))*Log[x]^2)/(5*x^2),x]","\frac{2}{5} \left(\frac{10 \left(x^4+8 x^3+24 x^2+e^{\frac{12 x}{5}+32}-4 e^{\frac{3 x}{5}+8} (x+2)^3+6 e^{\frac{6 x}{5}+16} (x+2)^2-4 e^{\frac{9 x}{5}+24} (x+2)+16\right)}{x}+\frac{5}{2} \left(x-e^{\frac{3 x}{5}+8}+2\right)^4 \log ^2(x)\right)","\left(x-e^{\frac{3 x}{5}+8}+2\right)^4 \left(\frac{4}{x}+\log ^2(x)\right)",1,"(2*((10*(16 + E^(32 + (12*x)/5) + 24*x^2 + 8*x^3 + x^4 - 4*E^(24 + (9*x)/5)*(2 + x) + 6*E^(16 + (6*x)/5)*(2 + x)^2 - 4*E^(8 + (3*x)/5)*(2 + x)^3))/x + (5*(2 - E^(8 + (3*x)/5) + x)^4*Log[x]^2)/2))/5","B",1
7970,1,28,31,0.1838817,"\int \frac{\exp \left(\frac{-15-5 x+e^x x+e^{-3+x} (3+x)}{-5 x+e^{-3+x} x}\right) \left(-75+30 e^{-3+x}-3 e^{-6+2 x}-5 e^x x^2\right)}{25 x^2-10 e^{-3+x} x^2+e^{-6+2 x} x^2} \, dx","Integrate[(E^((-15 - 5*x + E^x*x + E^(-3 + x)*(3 + x))/(-5*x + E^(-3 + x)*x))*(-75 + 30*E^(-3 + x) - 3*E^(-6 + 2*x) - 5*E^x*x^2))/(25*x^2 - 10*E^(-3 + x)*x^2 + E^(-6 + 2*x)*x^2),x]","e^{\frac{3}{x}+\frac{5 e^6}{e^x-5 e^3}+e^3+1}","e^{\frac{x+3}{x}-\frac{e^x}{5-e^{x-3}}}+7+e^3",1,"E^(1 + E^3 + (5*E^6)/(-5*E^3 + E^x) + 3/x)","A",1
7971,1,65,25,0.093576,"\int \frac{e^{4 x} (3-4 x)+4 e^{3 x} x+25 x^2+25 x^4+\left(-12 e^{2 x} x^2+e^{3 x} \left(-8 x+12 x^2\right)\right) \log (x)+\left(12 e^x x^3+e^{2 x} \left(6 x^2-12 x^3\right)\right) \log ^2(x)+\left(-4 x^4+4 e^x x^4\right) \log ^3(x)-x^4 \log ^4(x)}{25 x^4} \, dx","Integrate[(E^(4*x)*(3 - 4*x) + 4*E^(3*x)*x + 25*x^2 + 25*x^4 + (-12*E^(2*x)*x^2 + E^(3*x)*(-8*x + 12*x^2))*Log[x] + (12*E^x*x^3 + E^(2*x)*(6*x^2 - 12*x^3))*Log[x]^2 + (-4*x^4 + 4*E^x*x^4)*Log[x]^3 - x^4*Log[x]^4)/(25*x^4),x]","\frac{1}{25} \left(-\frac{e^{4 x}}{x^3}+\frac{4 e^{3 x} \log (x)}{x^2}+25 x-\frac{25}{x}-x \log ^4(x)+4 e^x \log ^3(x)-\frac{6 e^{2 x} \log ^2(x)}{x}\right)","x-\frac{1}{x}-\frac{1}{25} x \left(\log (x)-\frac{e^x}{x}\right)^4",1,"(-(E^(4*x)/x^3) - 25/x + 25*x + (4*E^(3*x)*Log[x])/x^2 - (6*E^(2*x)*Log[x]^2)/x + 4*E^x*Log[x]^3 - x*Log[x]^4)/25","B",1
7972,1,22,22,0.412877,"\int \frac{-800-200 x^2+e^{25+10 x+x^2} \left(-200-2000 x+1050 x^2+800 x^3+100 x^4\right)}{16-24 x+x^2+6 x^3+x^4} \, dx","Integrate[(-800 - 200*x^2 + E^(25 + 10*x + x^2)*(-200 - 2000*x + 1050*x^2 + 800*x^3 + 100*x^4))/(16 - 24*x + x^2 + 6*x^3 + x^4),x]","\frac{50 \left(e^{(x+5)^2}+4\right) x}{x^2+3 x-4}","\frac{50 \left(e^{(x+5)^2}+4\right) x}{(x-1) (x+4)}",1,"(50*(4 + E^(5 + x)^2)*x)/(-4 + 3*x + x^2)","A",1
7973,1,24,26,0.0822246,"\int \frac{1}{20} e^{\frac{1}{20} \left(-4 e^{e^{5+x^2}} x^2-5 \log (x)\right)} \left(15+e^{e^{5+x^2}} \left(-8 x^2-8 e^{5+x^2} x^4\right)\right) \, dx","Integrate[(E^((-4*E^E^(5 + x^2)*x^2 - 5*Log[x])/20)*(15 + E^E^(5 + x^2)*(-8*x^2 - 8*E^(5 + x^2)*x^4)))/20,x]","e^{-\frac{1}{5} e^{e^{x^2+5}} x^2} x^{3/4}","e^{-\frac{1}{5} e^{e^{x^2+5}} x^2} x^{3/4}-2",1,"x^(3/4)/E^((E^E^(5 + x^2)*x^2)/5)","A",1
7974,1,28,32,0.3341662,"\int \frac{e^4 x+e^4 \left(175-251 x+90 x^2\right) \log \left(\frac{175-126 x}{-105+75 x}\right)+\left(875-1255 x+450 x^2\right) \log ^2\left(\frac{175-126 x}{-105+75 x}\right)}{\left(175-251 x+90 x^2\right) \log ^2\left(\frac{175-126 x}{-105+75 x}\right)} \, dx","Integrate[(E^4*x + E^4*(175 - 251*x + 90*x^2)*Log[(175 - 126*x)/(-105 + 75*x)] + (875 - 1255*x + 450*x^2)*Log[(175 - 126*x)/(-105 + 75*x)]^2)/((175 - 251*x + 90*x^2)*Log[(175 - 126*x)/(-105 + 75*x)]^2),x]","5 x+\frac{e^4 x}{\log \left(-\frac{7 (18 x-25)}{15 (5 x-7)}\right)}","x \left(\frac{e^4}{\log \left(\frac{1}{3} \left(-\frac{1}{5 \left(\frac{x-7}{x}+4\right)}-5\right)\right)}+5\right)",1,"5*x + (E^4*x)/Log[(-7*(-25 + 18*x))/(15*(-7 + 5*x))]","A",1
7975,1,85,23,0.1220576,"\int \left(4 x^7-9 x^8+\left(-12 x^5+28 x^6\right) \log (3)+\left(12 x^3-30 x^4\right) \log ^2(3)+\left(-4 x+12 x^2\right) \log ^3(3)-\log ^4(3)+e^x \left(-8 x^7-x^8+\left(24 x^5+4 x^6\right) \log (3)+\left(-24 x^3-6 x^4\right) \log ^2(3)+\left(8 x+4 x^2\right) \log ^3(3)-\log ^4(3)\right)\right) \, dx","Integrate[4*x^7 - 9*x^8 + (-12*x^5 + 28*x^6)*Log[3] + (12*x^3 - 30*x^4)*Log[3]^2 + (-4*x + 12*x^2)*Log[3]^3 - Log[3]^4 + E^x*(-8*x^7 - x^8 + (24*x^5 + 4*x^6)*Log[3] + (-24*x^3 - 6*x^4)*Log[3]^2 + (8*x + 4*x^2)*Log[3]^3 - Log[3]^4),x]","-x^9+\frac{x^8}{2}+4 x^7 \log (3)-2 x^6 \log (3)-6 x^5 \log ^2(3)+3 x^4 \log ^2(3)+4 x^3 \log ^3(3)-2 x^2 \log ^3(3)-e^x \left(x^2-\log (3)\right)^4-x \log ^4(3)","\left(-x-e^x+\frac{1}{2}\right) \left(\log (3)-x^2\right)^4",1,"x^8/2 - x^9 - E^x*(x^2 - Log[3])^4 - 2*x^6*Log[3] + 4*x^7*Log[3] + 3*x^4*Log[3]^2 - 6*x^5*Log[3]^2 - 2*x^2*Log[3]^3 + 4*x^3*Log[3]^3 - x*Log[3]^4","B",1
7976,1,36,27,0.0108737,"\int \frac{-60-8 x^2+\left(-75+40 x^2+4 x^3\right) \log (5)}{10 x^2 \log (5)} \, dx","Integrate[(-60 - 8*x^2 + (-75 + 40*x^2 + 4*x^3)*Log[5])/(10*x^2*Log[5]),x]","\frac{x^2}{5}+4 x+\frac{15}{2 x}-\frac{4 x}{5 \log (5)}+\frac{6}{x \log (5)}","x-\left(-\frac{x}{5}+\frac{3}{2 x}-4\right) \left(x-5-\frac{4}{\log (5)}\right)",1,"15/(2*x) + 4*x + x^2/5 + 6/(x*Log[5]) - (4*x)/(5*Log[5])","A",1
7977,1,36,24,0.2155786,"\int \frac{-8+1260 x-2 x^2+\left(4-630 x+x^2\right) \log (4 x)+\left(630 x-2 x^2+\left(-630 x+2 x^2\right) \log (4 x)\right) \log \left(\frac{x}{-1+\log (4 x)}\right)}{-2 x+2 x \log (4 x)} \, dx","Integrate[(-8 + 1260*x - 2*x^2 + (4 - 630*x + x^2)*Log[4*x] + (630*x - 2*x^2 + (-630*x + 2*x^2)*Log[4*x])*Log[x/(-1 + Log[4*x])])/(-2*x + 2*x*Log[4*x]),x]","\frac{1}{2} \left(4 \log (x)-4 \log (1-\log (4 x))+(x-630) x \log \left(\frac{x}{\log (4 x)-1}\right)\right)","\left(2-\frac{1}{2} (630-x) x\right) \log \left(\frac{x}{\log (4 x)-1}\right)",1,"(4*Log[x] - 4*Log[1 - Log[4*x]] + (-630 + x)*x*Log[x/(-1 + Log[4*x])])/2","A",1
7978,1,28,23,0.022817,"\int \frac{e^{-3-x} \left(2 e^{-3+e} x+4 \log (x)-2 x \log ^2(x)\right)}{5 x} \, dx","Integrate[(E^(-3 - x)*(2*E^(-3 + E)*x + 4*Log[x] - 2*x*Log[x]^2))/(5*x),x]","\frac{1}{5} \left(2 e^{-x-3} \log ^2(x)-2 e^{-x+e-6}\right)","\frac{2}{5} e^{-x-3} \left(\log ^2(x)-e^{e-3}\right)",1,"(-2*E^(-6 + E - x) + 2*E^(-3 - x)*Log[x]^2)/5","A",1
7979,1,83,26,1.016399,"\int \frac{1}{5} \exp \left(-25+10 x-x^2+\frac{1}{5} e^{-25+10 x-x^2} \left(80 x^2+e^{25-10 x+x^2} (8+4 x)\right)\right) \left(4 e^{25-10 x+x^2}+160 x+800 x^2-160 x^3\right) \, dx","Integrate[(E^(-25 + 10*x - x^2 + (E^(-25 + 10*x - x^2)*(80*x^2 + E^(25 - 10*x + x^2)*(8 + 4*x)))/5)*(4*E^(25 - 10*x + x^2) + 160*x + 800*x^2 - 160*x^3))/5,x]","\frac{1}{5} \int \left(-160 x^3+800 x^2+4 e^{x^2-10 x+25}+160 x\right) \exp \left(-x^2+\frac{1}{5} e^{-x^2+10 x-25} \left(80 x^2+e^{x^2-10 x+25} (4 x+8)\right)+10 x-25\right) \, dx","e^{4 \left(4 e^{-(x-5)^2} x^2+\frac{x+2}{5}\right)}",1,"Integrate[E^(-25 + 10*x - x^2 + (E^(-25 + 10*x - x^2)*(80*x^2 + E^(25 - 10*x + x^2)*(8 + 4*x)))/5)*(4*E^(25 - 10*x + x^2) + 160*x + 800*x^2 - 160*x^3), x]/5","F",1
7980,1,28,23,0.1079912,"\int \frac{\left(2-2 e^3-2 \log (x)\right) \log \left(\frac{2 e^7+x+2 e^4 \log (x)}{e^3+\log (x)}\right)}{2 e^{10}+e^3 x+\left(4 e^7+x\right) \log (x)+2 e^4 \log ^2(x)} \, dx","Integrate[((2 - 2*E^3 - 2*Log[x])*Log[(2*E^7 + x + 2*E^4*Log[x])/(E^3 + Log[x])])/(2*E^10 + E^3*x + (4*E^7 + x)*Log[x] + 2*E^4*Log[x]^2),x]","-\log ^2\left(\frac{x+2 e^4 \log (x)+2 e^7}{\log (x)+e^3}\right)","1-\log ^2\left(\frac{x}{\log (x)+e^3}+2 e^4\right)",1,"-Log[(2*E^7 + x + 2*E^4*Log[x])/(E^3 + Log[x])]^2","A",1
7981,1,55,23,0.046278,"\int \frac{-5124800+1310720 e^{15} x^3-131072 e^{20} x^4+e^5 (19200+8199680 x)+e^{10} \left(-7680 x-4917504 x^2\right)}{23011209+15350400 x+2560000 x^2+e^5 \left(-36840960 x-24568320 x^2-4096000 x^3\right)+e^{10} \left(22113792 x^2+14744064 x^3+2457600 x^4\right)+e^{15} \left(-5898240 x^3-3932160 x^4-655360 x^5\right)+e^{20} \left(589824 x^4+393216 x^5+65536 x^6\right)} \, dx","Integrate[(-5124800 + 1310720*E^15*x^3 - 131072*E^20*x^4 + E^5*(19200 + 8199680*x) + E^10*(-7680*x - 4917504*x^2))/(23011209 + 15350400*x + 2560000*x^2 + E^5*(-36840960*x - 24568320*x^2 - 4096000*x^3) + E^10*(22113792*x^2 + 14744064*x^3 + 2457600*x^4) + E^15*(-5898240*x^3 - 3932160*x^4 - 655360*x^5) + E^20*(589824*x^4 + 393216*x^5 + 65536*x^6)),x]","-\frac{-512 e^{10} x^2+2560 e^5 x-3203}{256 e^{10} x^3+768 e^{10} x^2-1280 e^5 x^2-3840 e^5 x+1600 x+4797}","\frac{x+5}{x-\frac{3}{64 \left(2 e^5 x-5\right)^2}+3}",1,"-((-3203 + 2560*E^5*x - 512*E^10*x^2)/(4797 + 1600*x - 3840*E^5*x - 1280*E^5*x^2 + 768*E^10*x^2 + 256*E^10*x^3))","B",1
7982,1,16,16,0.020374,"\int e^{4096 e^{8 x^2} x^2} \left(1+e^{8 x^2} \left(8192 x^2+65536 x^4\right)\right) \, dx","Integrate[E^(4096*E^(8*x^2)*x^2)*(1 + E^(8*x^2)*(8192*x^2 + 65536*x^4)),x]","e^{4096 e^{8 x^2} x^2} x","e^{4096 e^{8 x^2} x^2} x",1,"E^(4096*E^(8*x^2)*x^2)*x","A",1
7983,1,10,10,0.0301255,"\int \frac{7+x \log (x)}{x+2 x \log (x)+x \log ^2(x)} \, dx","Integrate[(7 + x*Log[x])/(x + 2*x*Log[x] + x*Log[x]^2),x]","\frac{x-7}{\log (x)+1}","\frac{x-7}{\log (x)+1}",1,"(-7 + x)/(1 + Log[x])","A",1
7984,0,0,27,4.6971394,"\int \frac{\exp \left(\frac{-87-26 x-2 x^2-x^3+\left(29-x+x^2\right) \log (3)+e^x (-3-x+\log (3))+x \log (x)}{-3-x+\log (3)}\right) \left(-12+11 x+11 x^2+2 x^3+\left(7-10 x-4 x^2\right) \log (3)+(-1+2 x) \log ^2(3)+e^x \left(9+6 x+x^2+(-6-2 x) \log (3)+\log ^2(3)\right)+(-3+\log (3)) \log (x)\right)}{9+6 x+x^2+(-6-2 x) \log (3)+\log ^2(3)} \, dx","Integrate[(E^((-87 - 26*x - 2*x^2 - x^3 + (29 - x + x^2)*Log[3] + E^x*(-3 - x + Log[3]) + x*Log[x])/(-3 - x + Log[3]))*(-12 + 11*x + 11*x^2 + 2*x^3 + (7 - 10*x - 4*x^2)*Log[3] + (-1 + 2*x)*Log[3]^2 + E^x*(9 + 6*x + x^2 + (-6 - 2*x)*Log[3] + Log[3]^2) + (-3 + Log[3])*Log[x]))/(9 + 6*x + x^2 + (-6 - 2*x)*Log[3] + Log[3]^2),x]","\int \frac{\exp \left(\frac{-87-26 x-2 x^2-x^3+\left(29-x+x^2\right) \log (3)+e^x (-3-x+\log (3))+x \log (x)}{-3-x+\log (3)}\right) \left(-12+11 x+11 x^2+2 x^3+\left(7-10 x-4 x^2\right) \log (3)+(-1+2 x) \log ^2(3)+e^x \left(9+6 x+x^2+(-6-2 x) \log (3)+\log ^2(3)\right)+(-3+\log (3)) \log (x)\right)}{9+6 x+x^2+(-6-2 x) \log (3)+\log ^2(3)} \, dx","e^{x^2-x+e^x-\frac{x \log (x)}{x+3-\log (3)}+29}",1,"Integrate[(E^((-87 - 26*x - 2*x^2 - x^3 + (29 - x + x^2)*Log[3] + E^x*(-3 - x + Log[3]) + x*Log[x])/(-3 - x + Log[3]))*(-12 + 11*x + 11*x^2 + 2*x^3 + (7 - 10*x - 4*x^2)*Log[3] + (-1 + 2*x)*Log[3]^2 + E^x*(9 + 6*x + x^2 + (-6 - 2*x)*Log[3] + Log[3]^2) + (-3 + Log[3])*Log[x]))/(9 + 6*x + x^2 + (-6 - 2*x)*Log[3] + Log[3]^2), x]","F",-1
7985,1,8,21,0.0006805,"\int \frac{-1+2 x}{x} \, dx","Integrate[(-1 + 2*x)/x,x]","2 x-\log (x)","2 x-\log (2 x)-2+(\log (5)+i \pi )^2",1,"2*x - Log[x]","A",1
7986,1,70,25,0.0239292,"\int \frac{1}{80} \left(240+8 x+4 x^2+\left(-8 x^2-4 x^3\right) \log (2)+\left(2 x^3+x^4\right) \log ^2(2)+\left(16 x+12 x^2+\left(-24 x^2-16 x^3\right) \log (2)+\left(8 x^3+5 x^4\right) \log ^2(2)\right) \log (x)\right) \, dx","Integrate[(240 + 8*x + 4*x^2 + (-8*x^2 - 4*x^3)*Log[2] + (2*x^3 + x^4)*Log[2]^2 + (16*x + 12*x^2 + (-24*x^2 - 16*x^3)*Log[2] + (8*x^3 + 5*x^4)*Log[2]^2)*Log[x])/80,x]","\frac{1}{80} x^5 \log ^2(2) \log (x)+\frac{1}{40} x^4 \log ^2(2) \log (x)-\frac{1}{20} x^4 \log (2) \log (x)-\frac{1}{10} x^3 \log (2) \log (x)+\frac{1}{20} x^3 \log (x)+\frac{1}{10} x^2 \log (x)+3 x","(x+2) \left(\frac{1}{80} x^2 \log (x) (x \log (2)-2)^2+2\right)+x",1,"3*x + (x^2*Log[x])/10 + (x^3*Log[x])/20 - (x^3*Log[2]*Log[x])/10 - (x^4*Log[2]*Log[x])/20 + (x^4*Log[2]^2*Log[x])/40 + (x^5*Log[2]^2*Log[x])/80","B",1
7987,1,16,21,0.0535884,"\int \frac{-1-2 x^2+e^x \left(-x+2 x^3\right)}{-x+2 x^3} \, dx","Integrate[(-1 - 2*x^2 + E^x*(-x + 2*x^3))/(-x + 2*x^3),x]","-\log \left(1-2 x^2\right)+e^x+\log (x)","e^x-\log \left(\frac{1}{2 x}-x\right)+e^3",1,"E^x + Log[x] - Log[1 - 2*x^2]","A",1
7988,1,28,28,0.2595035,"\int \frac{-1-x+e^{3 x} \left(-3 x-3 x^2\right)+e^x \left(1+2 x+x^2+x^3\right)+\left(1+3 x+2 x^2+x^3+e^{2 x} \left(-3 x-3 x^2\right)\right) \log (x)+\left(e^x \left(x+x^2\right)+\left(x+x^2\right) \log (x)\right) \log \left(\frac{x+x^2}{e^x+\log (x)}\right)}{e^{3 x} \left(-x-x^2\right)+e^x \left(x^2+x^3\right)+\left(x^2+x^3+e^{2 x} \left(-x-x^2\right)\right) \log (x)+\left(e^x \left(x+x^2\right)+\left(x+x^2\right) \log (x)\right) \log \left(\frac{x+x^2}{e^x+\log (x)}\right)} \, dx","Integrate[(-1 - x + E^(3*x)*(-3*x - 3*x^2) + E^x*(1 + 2*x + x^2 + x^3) + (1 + 3*x + 2*x^2 + x^3 + E^(2*x)*(-3*x - 3*x^2))*Log[x] + (E^x*(x + x^2) + (x + x^2)*Log[x])*Log[(x + x^2)/(E^x + Log[x])])/(E^(3*x)*(-x - x^2) + E^x*(x^2 + x^3) + (x^2 + x^3 + E^(2*x)*(-x - x^2))*Log[x] + (E^x*(x + x^2) + (x + x^2)*Log[x])*Log[(x + x^2)/(E^x + Log[x])]),x]","x+\log \left(-x+e^{2 x}-\log \left(\frac{x (x+1)}{e^x+\log (x)}\right)\right)","\log \left(e^x \left(x-e^{2 x}+\log \left(\frac{x (x+1)}{e^x+\log (x)}\right)\right)\right)",1,"x + Log[E^(2*x) - x - Log[(x*(1 + x))/(E^x + Log[x])]]","A",1
7989,1,24,25,0.2590146,"\int \frac{-15-5 e^x+\left(-960-30 x+110592 x^4+3456 x^5+27 x^6+e^{2 x} \left(12288 x^4+384 x^5+3 x^6\right)+e^x \left(-320-330 x-5 x^2+73728 x^4+2304 x^5+18 x^6\right)\right) \log (x)+\left(-15+3456 x^4+54 x^5+e^{2 x} \left(384 x^4+6 x^5\right)+e^x \left(-5-5 x+2304 x^4+36 x^5\right)\right) \log (x) \log (\log (x))+\left(27 x^4+18 e^x x^4+3 e^{2 x} x^4\right) \log (x) \log ^2(\log (x))}{\left(36864 x^2+1152 x^3+9 x^4+e^{2 x} \left(4096 x^2+128 x^3+x^4\right)+e^x \left(24576 x^2+768 x^3+6 x^4\right)\right) \log (x)+\left(1152 x^2+18 x^3+e^{2 x} \left(128 x^2+2 x^3\right)+e^x \left(768 x^2+12 x^3\right)\right) \log (x) \log (\log (x))+\left(9 x^2+6 e^x x^2+e^{2 x} x^2\right) \log (x) \log ^2(\log (x))} \, dx","Integrate[(-15 - 5*E^x + (-960 - 30*x + 110592*x^4 + 3456*x^5 + 27*x^6 + E^(2*x)*(12288*x^4 + 384*x^5 + 3*x^6) + E^x*(-320 - 330*x - 5*x^2 + 73728*x^4 + 2304*x^5 + 18*x^6))*Log[x] + (-15 + 3456*x^4 + 54*x^5 + E^(2*x)*(384*x^4 + 6*x^5) + E^x*(-5 - 5*x + 2304*x^4 + 36*x^5))*Log[x]*Log[Log[x]] + (27*x^4 + 18*E^x*x^4 + 3*E^(2*x)*x^4)*Log[x]*Log[Log[x]]^2)/((36864*x^2 + 1152*x^3 + 9*x^4 + E^(2*x)*(4096*x^2 + 128*x^3 + x^4) + E^x*(24576*x^2 + 768*x^3 + 6*x^4))*Log[x] + (1152*x^2 + 18*x^3 + E^(2*x)*(128*x^2 + 2*x^3) + E^x*(768*x^2 + 12*x^3))*Log[x]*Log[Log[x]] + (9*x^2 + 6*E^x*x^2 + E^(2*x)*x^2)*Log[x]*Log[Log[x]]^2),x]","x^3+\frac{5}{\left(e^x+3\right) x (x+\log (\log (x))+64)}","x^3+\frac{5}{\left(e^x+3\right) x (x+\log (\log (x))+64)}-2",1,"x^3 + 5/((3 + E^x)*x*(64 + x + Log[Log[x]]))","A",1
7990,1,14,20,0.0074094,"\int \frac{-2 x+(-1-2 x) \log (3)}{x} \, dx","Integrate[(-2*x + (-1 - 2*x)*Log[3])/x,x]","-(x (2+\log (9)))-\log (3) \log (x)","-2 x-\log (3) \left(2 x+\log \left(\frac{x}{3}\right)-7\right)-11",1,"-(x*(2 + Log[9])) - Log[3]*Log[x]","A",1
7991,1,23,23,0.1215583,"\int \frac{-9 x-456 x^2+840 x^4+\left(-54 x+420 x^2+1680 x^3\right) \log (x)+\left(-27+840 x^2\right) \log ^2(x)}{x^4+2 x^3 \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(-9*x - 456*x^2 + 840*x^4 + (-54*x + 420*x^2 + 1680*x^3)*Log[x] + (-27 + 840*x^2)*Log[x]^2)/(x^4 + 2*x^3*Log[x] + x^2*Log[x]^2),x]","3 \left(280 x+\frac{9}{x}+\frac{140 x+3}{x+\log (x)}\right)","\left(\frac{9}{x}+420\right) \left(2 x+\frac{x}{x+\log (x)}+3\right)+5",1,"3*(9/x + 280*x + (3 + 140*x)/(x + Log[x]))","A",1
7992,1,26,31,0.0670493,"\int \frac{4^{\frac{8}{x+\left(12 x+4 x^2\right) \log (4)}} e^{3 x} \left(3 x^2+\left(-8+72 x^2+24 x^3\right) \log (4)+\left(-96-64 x+432 x^2+288 x^3+48 x^4\right) \log ^2(4)\right)}{x^2+\left(24 x^2+8 x^3\right) \log (4)+\left(144 x^2+96 x^3+16 x^4\right) \log ^2(4)} \, dx","Integrate[(4^(8/(x + (12*x + 4*x^2)*Log[4]))*E^(3*x)*(3*x^2 + (-8 + 72*x^2 + 24*x^3)*Log[4] + (-96 - 64*x + 432*x^2 + 288*x^3 + 48*x^4)*Log[4]^2))/(x^2 + (24*x^2 + 8*x^3)*Log[4] + (144*x^2 + 96*x^3 + 16*x^4)*Log[4]^2),x]","e^{3 x} 4^{\frac{8}{x (4 x \log (4)+1+12 \log (4))}}","e^{\frac{2}{x^2 \left(\frac{1}{4 x \log (4)}+1\right)+3 x}+3 x}",1,"4^(8/(x*(1 + 12*Log[4] + 4*x*Log[4])))*E^(3*x)","A",1
7993,1,27,24,0.0485782,"\int \frac{x+x^2+2 x^3+e^{15-3 x} \left(-1-3 x+x^2-3 x^3\right)}{x^2} \, dx","Integrate[(x + x^2 + 2*x^3 + E^(15 - 3*x)*(-1 - 3*x + x^2 - 3*x^3))/x^2,x]","x^2+e^{15-3 x} x+x+\frac{e^{15-3 x}}{x}+\log (x)","\log \left(e^{x+\left(x+e^{3 (5-x)}\right) \left(x+\frac{1}{x}\right)} x\right)",1,"E^(15 - 3*x)/x + x + E^(15 - 3*x)*x + x^2 + Log[x]","A",1
7994,1,19,19,0.2250321,"\int \frac{1}{2} e^{-x-\frac{1}{2} e^{-x} \left(-675 x+27 x^2\right)} \left(4 e^x x+675 x^2-729 x^3+27 x^4\right) \, dx","Integrate[(E^(-x - (-675*x + 27*x^2)/(2*E^x))*(4*E^x*x + 675*x^2 - 729*x^3 + 27*x^4))/2,x]","e^{-\frac{27}{2} e^{-x} (x-25) x} x^2","e^{-\frac{27}{2} e^{-x} (x-25) x} x^2",1,"x^2/E^((27*(-25 + x)*x)/(2*E^x))","A",1
7995,1,20,15,0.0042364,"\int \frac{4-2 e^{50} x-e^{50} \log (48)}{4 e^{50}} \, dx","Integrate[(4 - 2*E^50*x - E^50*Log[48])/(4*E^50),x]","-\frac{x^2}{4}+\frac{x}{e^{50}}-\frac{1}{4} x \log (48)","\frac{x}{e^{50}}-\frac{1}{4} x (x+\log (48))",1,"x/E^50 - x^2/4 - (x*Log[48])/4","A",1
7996,1,5,7,0.0015508,"\int e^x (1+x) \, dx","Integrate[E^x*(1 + x),x]","e^x x","e^x x-9",1,"E^x*x","A",1
7997,0,0,31,0.3649851,"\int \frac{x^2-48 x^3+e^{\frac{2 \left(5+x+x^3\right)}{x}} \left(10-4 x^3\right)+e^{\frac{5+x+x^3}{x}} \left(50 x-10 x^2-20 x^4\right)}{e^{\frac{2 \left(5+x+x^3\right)}{x}} x^2-x^3+10 e^{\frac{5+x+x^3}{x}} x^3+24 x^4} \, dx","Integrate[(x^2 - 48*x^3 + E^((2*(5 + x + x^3))/x)*(10 - 4*x^3) + E^((5 + x + x^3)/x)*(50*x - 10*x^2 - 20*x^4))/(E^((2*(5 + x + x^3))/x)*x^2 - x^3 + 10*E^((5 + x + x^3)/x)*x^3 + 24*x^4),x]","\int \frac{x^2-48 x^3+e^{\frac{2 \left(5+x+x^3\right)}{x}} \left(10-4 x^3\right)+e^{\frac{5+x+x^3}{x}} \left(50 x-10 x^2-20 x^4\right)}{e^{\frac{2 \left(5+x+x^3\right)}{x}} x^2-x^3+10 e^{\frac{5+x+x^3}{x}} x^3+24 x^4} \, dx","\log \left(\frac{3}{x^2-\left(e^{x^2+\frac{x+5}{x}}+5 x\right)^2+x}\right)",1,"Integrate[(x^2 - 48*x^3 + E^((2*(5 + x + x^3))/x)*(10 - 4*x^3) + E^((5 + x + x^3)/x)*(50*x - 10*x^2 - 20*x^4))/(E^((2*(5 + x + x^3))/x)*x^2 - x^3 + 10*E^((5 + x + x^3)/x)*x^3 + 24*x^4), x]","F",-1
7998,1,74,27,6.9810784,"\int \frac{-e^{5 x}-5 e^{4 x} x-10 e^{3 x} x^2-10 e^{2 x} x^3-5 e^x x^4-x^5+\exp \left(\frac{1-4 x+2 x^2+8 x^3-5 x^4-9 x^5+2 x^6+4 x^7+x^8+e^{4 x} \left(1+3 x+6 x^2+4 x^3+x^4\right)+e^{3 x} \left(-4-8 x+20 x^3+16 x^4+4 x^5\right)+e^{2 x} \left(6-24 x^2-18 x^3+24 x^4+24 x^5+6 x^6\right)+e^x \left(-4+8 x+12 x^2-20 x^3-24 x^4+12 x^5+16 x^6+4 x^7\right)}{e^{4 x}+4 e^{3 x} x+6 e^{2 x} x^2+4 e^x x^3+x^4}\right) \left(-4 x^2+12 x^3-4 x^4-8 x^5+x^6-9 x^7+4 x^8+12 x^9+4 x^{10}+e^{5 x} \left(x+3 x^2+12 x^3+12 x^4+4 x^5\right)+e^{4 x} \left(-3 x^2+3 x^3+60 x^4+64 x^5+20 x^6\right)+e^{3 x} \left(4 x^2-26 x^3-30 x^4+112 x^5+132 x^6+40 x^7\right)+e^{2 x} \left(-4 x^2+12 x^3-38 x^4-66 x^5+96 x^6+132 x^7+40 x^8\right)+e^x \left(8 x^2-8 x^3-15 x^5-45 x^6+36 x^7+64 x^8+20 x^9\right)\right)}{e^{5 x} x+5 e^{4 x} x^2+10 e^{3 x} x^3+10 e^{2 x} x^4+5 e^x x^5+x^6} \, dx","Integrate[(-E^(5*x) - 5*E^(4*x)*x - 10*E^(3*x)*x^2 - 10*E^(2*x)*x^3 - 5*E^x*x^4 - x^5 + E^((1 - 4*x + 2*x^2 + 8*x^3 - 5*x^4 - 9*x^5 + 2*x^6 + 4*x^7 + x^8 + E^(4*x)*(1 + 3*x + 6*x^2 + 4*x^3 + x^4) + E^(3*x)*(-4 - 8*x + 20*x^3 + 16*x^4 + 4*x^5) + E^(2*x)*(6 - 24*x^2 - 18*x^3 + 24*x^4 + 24*x^5 + 6*x^6) + E^x*(-4 + 8*x + 12*x^2 - 20*x^3 - 24*x^4 + 12*x^5 + 16*x^6 + 4*x^7))/(E^(4*x) + 4*E^(3*x)*x + 6*E^(2*x)*x^2 + 4*E^x*x^3 + x^4))*(-4*x^2 + 12*x^3 - 4*x^4 - 8*x^5 + x^6 - 9*x^7 + 4*x^8 + 12*x^9 + 4*x^10 + E^(5*x)*(x + 3*x^2 + 12*x^3 + 12*x^4 + 4*x^5) + E^(4*x)*(-3*x^2 + 3*x^3 + 60*x^4 + 64*x^5 + 20*x^6) + E^(3*x)*(4*x^2 - 26*x^3 - 30*x^4 + 112*x^5 + 132*x^6 + 40*x^7) + E^(2*x)*(-4*x^2 + 12*x^3 - 38*x^4 - 66*x^5 + 96*x^6 + 132*x^7 + 40*x^8) + E^x*(8*x^2 - 8*x^3 - 15*x^5 - 45*x^6 + 36*x^7 + 64*x^8 + 20*x^9)))/(E^(5*x)*x + 5*E^(4*x)*x^2 + 10*E^(3*x)*x^3 + 10*E^(2*x)*x^4 + 5*E^x*x^5 + x^6),x]","x \exp \left(x^4+4 x^3+6 x^2+3 x-\frac{4 (x+1)^3}{x+e^x}+\frac{6 (x+1)^2}{\left(x+e^x\right)^2}-\frac{4 (x+1)}{\left(x+e^x\right)^3}+\frac{1}{\left(x+e^x\right)^4}+1\right)-\log (x)","e^{\left(x-\frac{1}{x+e^x}+1\right)^4-x} x-\log (x)",1,"E^(1 + 3*x + 6*x^2 + 4*x^3 + x^4 + (E^x + x)^(-4) - (4*(1 + x))/(E^x + x)^3 + (6*(1 + x)^2)/(E^x + x)^2 - (4*(1 + x)^3)/(E^x + x))*x - Log[x]","B",1
7999,1,24,29,0.0519939,"\int \frac{-5+11 x+3 x^2+(1-3 x) \log \left(\frac{e^x x^2}{-2+6 x}\right)+\left(3-9 x+(-1+3 x) \log \left(\frac{e^x x^2}{-2+6 x}\right)\right) \log \left(-3+\log \left(\frac{e^x x^2}{-2+6 x}\right)\right)}{3-9 x+(-1+3 x) \log \left(\frac{e^x x^2}{-2+6 x}\right)} \, dx","Integrate[(-5 + 11*x + 3*x^2 + (1 - 3*x)*Log[(E^x*x^2)/(-2 + 6*x)] + (3 - 9*x + (-1 + 3*x)*Log[(E^x*x^2)/(-2 + 6*x)])*Log[-3 + Log[(E^x*x^2)/(-2 + 6*x)]])/(3 - 9*x + (-1 + 3*x)*Log[(E^x*x^2)/(-2 + 6*x)]),x]","x \log \left(\log \left(\frac{e^x x^2}{6 x-2}\right)-3\right)-x","x \log \left(\log \left(\frac{e^x x}{5-\frac{2-x}{x}}\right)-3\right)-x",1,"-x + x*Log[-3 + Log[(E^x*x^2)/(-2 + 6*x)]]","A",1
8000,1,18,22,0.0208495,"\int \frac{-3+(3-3 x) \log \left(\frac{3}{x}\right)}{x^3 \log \left(\frac{3}{x}\right)-2 x^2 \log \left(\frac{3}{x}\right) \log \left(9 x \log \left(\frac{3}{x}\right)\right)+x \log \left(\frac{3}{x}\right) \log ^2\left(9 x \log \left(\frac{3}{x}\right)\right)} \, dx","Integrate[(-3 + (3 - 3*x)*Log[3/x])/(x^3*Log[3/x] - 2*x^2*Log[3/x]*Log[9*x*Log[3/x]] + x*Log[3/x]*Log[9*x*Log[3/x]]^2),x]","\frac{3}{x-\log \left(9 x \log \left(\frac{3}{x}\right)\right)}","\frac{3}{x-\log \left(9 x \log \left(\frac{3}{x}\right)\right)}+\frac{3}{4}",1,"3/(x - Log[9*x*Log[3/x]])","A",1
8001,1,24,21,0.0045382,"\int \left(-60-e^x+178 x-72 x^2+64 x^3\right) \, dx","Integrate[-60 - E^x + 178*x - 72*x^2 + 64*x^3,x]","16 x^4-24 x^3+89 x^2-60 x-e^x","\left(4 \left(x^2-x+1\right)+x+6\right)^2-e^x",1,"-E^x - 60*x + 89*x^2 - 24*x^3 + 16*x^4","A",1
8002,1,31,30,0.0914864,"\int \frac{e^x \left(-40 x+192 x^2-156 x^3-20 x^4+18 x^5\right)+e^{2 x} \left(-40 x^2+36 x^3+56 x^4-42 x^5-16 x^6+6 x^7\right)+\left(-40+192 x-156 x^2-20 x^3+18 x^4+e^x \left(-40 x+36 x^2+56 x^3-42 x^4-16 x^5+6 x^6\right)\right) \log \left(\frac{10 x-24 x^2+17 x^3-3 x^4}{2+x}\right)}{-20 x+38 x^2-10 x^3-11 x^4+3 x^5} \, dx","Integrate[(E^x*(-40*x + 192*x^2 - 156*x^3 - 20*x^4 + 18*x^5) + E^(2*x)*(-40*x^2 + 36*x^3 + 56*x^4 - 42*x^5 - 16*x^6 + 6*x^7) + (-40 + 192*x - 156*x^2 - 20*x^3 + 18*x^4 + E^x*(-40*x + 36*x^2 + 56*x^3 - 42*x^4 - 16*x^5 + 6*x^6))*Log[(10*x - 24*x^2 + 17*x^3 - 3*x^4)/(2 + x)])/(-20*x + 38*x^2 - 10*x^3 - 11*x^4 + 3*x^5),x]","\left(\log \left(\frac{x \left(-3 x^3+17 x^2-24 x+10\right)}{x+2}\right)+e^x x\right)^2","\left(\log \left(\left(x-x^2\right) \left(-\frac{25 x}{x+2}+3 x+5\right)\right)+e^x x\right)^2",1,"(E^x*x + Log[(x*(10 - 24*x + 17*x^2 - 3*x^3))/(2 + x)])^2","A",1
8003,1,22,31,0.5812433,"\int \frac{e^3+2 e^{5-x^2} x}{-3+e^{5-x^2}+e^3 (-2-x)} \, dx","Integrate[(E^3 + 2*E^(5 - x^2)*x)/(-3 + E^(5 - x^2) + E^3*(-2 - x)),x]","-\log \left(e^{5-x^2}-e^3 (x+2)-3\right)","-\log \left(\frac{1}{3} \left(e^3 \left(-e^{2-x^2}+x+2\right)+3\right)\right)-\frac{1}{4}",1,"-Log[-3 + E^(5 - x^2) - E^3*(2 + x)]","A",1
8004,1,20,22,0.2571989,"\int \frac{51+15 e^{2+x}-3 x+\left(3 x-15 e^{2+x} x\right) \log (x)}{4624 x+400 e^{4+2 x} x-544 x^2+16 x^3+e^{2+x} \left(2720 x-160 x^2\right)} \, dx","Integrate[(51 + 15*E^(2 + x) - 3*x + (3*x - 15*E^(2 + x)*x)*Log[x])/(4624*x + 400*E^(4 + 2*x)*x - 544*x^2 + 16*x^3 + E^(2 + x)*(2720*x - 160*x^2)),x]","\frac{3 \log (x)}{16 \left(-x+5 e^{x+2}+17\right)}","\frac{3 \log (x)}{16 \left(5 \left(e^{x+2}+3\right)-x+2\right)}",1,"(3*Log[x])/(16*(17 + 5*E^(2 + x) - x))","A",1
8005,1,15,17,0.0055731,"\int \frac{-25 e^2+x^2}{25 e^2 x+x^3} \, dx","Integrate[(-25*E^2 + x^2)/(25*E^2*x + x^3),x]","\log \left(x^2+25 e^2\right)-\log (x)","\log \left(\frac{\frac{x^2}{e^2}+25}{25 x}\right)",1,"-Log[x] + Log[25*E^2 + x^2]","A",1
8006,1,24,25,0.4057192,"\int \frac{2 x-x^2-4 x^4+2 x^4 \log (5)+\left(-1-4 x^2+2 x^2 \log (5)\right) \log (\log (2))+\left(4 x^3-2 x^3 \log (5)+(4 x-2 x \log (5)) \log (\log (2))\right) \log \left(x^2+\log (\log (2))\right)}{-x^3-x \log (\log (2))+\left(x^2+\log (\log (2))\right) \log \left(x^2+\log (\log (2))\right)} \, dx","Integrate[(2*x - x^2 - 4*x^4 + 2*x^4*Log[5] + (-1 - 4*x^2 + 2*x^2*Log[5])*Log[Log[2]] + (4*x^3 - 2*x^3*Log[5] + (4*x - 2*x*Log[5])*Log[Log[2]])*Log[x^2 + Log[Log[2]]])/(-x^3 - x*Log[Log[2]] + (x^2 + Log[Log[2]])*Log[x^2 + Log[Log[2]]]),x]","x^2 (2-\log (5))+\log \left(x-\log \left(x^2+\log (\log (2))\right)\right)","x^2 (2-\log (5))+\log \left(x-\log \left(x^2+\log (\log (2))\right)\right)+2",1,"x^2*(2 - Log[5]) + Log[x - Log[x^2 + Log[Log[2]]]]","A",1
8007,1,30,17,0.0024978,"\int \frac{1}{9} \left(4 e^2 x^3+400 e x^7+7500 x^{11}\right) \, dx","Integrate[(4*E^2*x^3 + 400*E*x^7 + 7500*x^11)/9,x]","\frac{4}{9} \left(\frac{625 x^{12}}{4}+\frac{25 e x^8}{2}+\frac{e^2 x^4}{4}\right)","\frac{1}{9} \left(25 x^6+e x^2\right)^2",1,"(4*((E^2*x^4)/4 + (25*E*x^8)/2 + (625*x^12)/4))/9","A",1
8008,1,23,24,0.0723457,"\int \frac{e^{-x} \left(6+8 x-e x-2 x^2-3 x \log \left(32 x^2\right)\right)}{3 x} \, dx","Integrate[(6 + 8*x - E*x - 2*x^2 - 3*x*Log[32*x^2])/(3*E^x*x),x]","\frac{1}{3} e^{-x} \left(3 \log \left(32 x^2\right)+2 x+e-6\right)","e^{-x} \left(\log \left(32 x^2\right)+\frac{e-x}{3}+x-2\right)",1,"(-6 + E + 2*x + 3*Log[32*x^2])/(3*E^x)","A",1
8009,1,26,21,0.0588896,"\int \frac{e^{4 x} \left(-392 x-28 x^2+812 x^3+114 x^4+4 x^5\right)+e^{4 x} \left(364 x+868 x^2+230 x^3+12 x^4\right) \log (3 x)+e^{4 x} \left(56 x+118 x^2+12 x^3\right) \log ^2(3 x)+e^{4 x} \left(2 x+4 x^2\right) \log ^3(3 x)}{x^3+3 x^2 \log (3 x)+3 x \log ^2(3 x)+\log ^3(3 x)} \, dx","Integrate[(E^(4*x)*(-392*x - 28*x^2 + 812*x^3 + 114*x^4 + 4*x^5) + E^(4*x)*(364*x + 868*x^2 + 230*x^3 + 12*x^4)*Log[3*x] + E^(4*x)*(56*x + 118*x^2 + 12*x^3)*Log[3*x]^2 + E^(4*x)*(2*x + 4*x^2)*Log[3*x]^3)/(x^3 + 3*x^2*Log[3*x] + 3*x*Log[3*x]^2 + Log[3*x]^3),x]","\frac{e^{4 x} x^2 (x+\log (3 x)+14)^2}{(x+\log (3 x))^2}","e^{4 x} \left(x+\frac{14 x}{x+\log (3 x)}\right)^2",1,"(E^(4*x)*x^2*(14 + x + Log[3*x])^2)/(x + Log[3*x])^2","A",1
8010,1,42,24,0.0616375,"\int \frac{\left(-126-447 x-576 x^2-320 x^3-64 x^4\right) \log \left(\frac{2}{2+x}\right)-2 \log \left(\log \left(\frac{2}{2+x}\right)\right)}{\left(-28-140 x-255 x^2-224 x^3-96 x^4-16 x^5\right) \log \left(\frac{2}{2+x}\right)+(2+x) \log \left(\frac{2}{2+x}\right) \log ^2\left(\log \left(\frac{2}{2+x}\right)\right)} \, dx","Integrate[((-126 - 447*x - 576*x^2 - 320*x^3 - 64*x^4)*Log[2/(2 + x)] - 2*Log[Log[2/(2 + x)]])/((-28 - 140*x - 255*x^2 - 224*x^3 - 96*x^4 - 16*x^5)*Log[2/(2 + x)] + (2 + x)*Log[2/(2 + x)]*Log[Log[2/(2 + x)]]^2),x]","\log \left(16 (x+2)^4-64 (x+2)^3+96 (x+2)^2-65 (x+2)-\log ^2\left(\log \left(\frac{2}{x+2}\right)\right)+16\right)","\log \left(-(2 x+2)^4+x+\log ^2\left(\log \left(\frac{2}{x+2}\right)\right)+2\right)",1,"Log[16 - 65*(2 + x) + 96*(2 + x)^2 - 64*(2 + x)^3 + 16*(2 + x)^4 - Log[Log[2/(2 + x)]]^2]","A",1
8011,1,12,14,0.0022179,"\int \frac{4 x+24 \log (3)}{3 x} \, dx","Integrate[(4*x + 24*Log[3])/(3*x),x]","\frac{4 x}{3}+8 \log (3) \log (x)","4 \log (3) \log \left(x^2\right)+\frac{4 x}{3}",1,"(4*x)/3 + 8*Log[3]*Log[x]","A",1
8012,1,46,31,0.0450369,"\int \frac{-4 x+3 x^2+e^3 \left(2 x-x^2\right)+e^5 \left(4-12 x+13 x^2-6 x^3+x^4+e^6 \left(1-2 x+x^2\right)+e^3 \left(-4+10 x-8 x^2+2 x^3\right)\right)}{4-12 x+13 x^2-6 x^3+x^4+e^6 \left(1-2 x+x^2\right)+e^3 \left(-4+10 x-8 x^2+2 x^3\right)} \, dx","Integrate[(-4*x + 3*x^2 + E^3*(2*x - x^2) + E^5*(4 - 12*x + 13*x^2 - 6*x^3 + x^4 + E^6*(1 - 2*x + x^2) + E^3*(-4 + 10*x - 8*x^2 + 2*x^3)))/(4 - 12*x + 13*x^2 - 6*x^3 + x^4 + E^6*(1 - 2*x + x^2) + E^3*(-4 + 10*x - 8*x^2 + 2*x^3)),x]","e^5 (x-1)+\frac{\left(e^3-2\right)^2}{\left(e^3-1\right) \left(x+e^3-2\right)}+\frac{1}{\left(1-e^3\right) (x-1)}","x \left(\frac{x^2}{\left(-x-e^3+2\right) \left(x^2-x\right)}+e^5\right)",1,"1/((1 - E^3)*(-1 + x)) + E^5*(-1 + x) + (-2 + E^3)^2/((-1 + E^3)*(-2 + E^3 + x))","A",1
8013,1,17,19,0.0458613,"\int \frac{-57+2 x+19 x^2+\left(-6+2 x^2\right) \log (x)}{9 x^3-6 x^4+x^5} \, dx","Integrate[(-57 + 2*x + 19*x^2 + (-6 + 2*x^2)*Log[x])/(9*x^3 - 6*x^4 + x^5),x]","-\frac{(x+1) (\log (x)+10)}{(x-3) x^2}","5-\frac{(x+1) (\log (x)+10)}{(x-3) x^2}",1,"-(((1 + x)*(10 + Log[x]))/((-3 + x)*x^2))","A",1
8014,1,16,19,0.0085403,"\int \frac{-25+9 x^2-5 e^x x^2}{5 x^2} \, dx","Integrate[(-25 + 9*x^2 - 5*E^x*x^2)/(5*x^2),x]","\frac{9 x}{5}-e^x+\frac{5}{x}","\frac{9 x}{5}-e^x+\frac{x+5}{x}+3",1,"-E^x + 5/x + (9*x)/5","A",1
8015,1,14,14,0.0063571,"\int \frac{e^{\frac{1}{8} (16-9 x)} (-24-9 x)}{4 x^4} \, dx","Integrate[(E^((16 - 9*x)/8)*(-24 - 9*x))/(4*x^4),x]","\frac{2 e^{2-\frac{9 x}{8}}}{x^3}","\frac{2 e^{2-\frac{9 x}{8}}}{x^3}",1,"(2*E^(2 - (9*x)/8))/x^3","A",1
8016,1,28,34,0.0368919,"\int \frac{-9 x^2-18 x^3-6 x^5-12 x^6-6 x^7+e^{12+x} \left(9+15 x+3 x^2-3 x^3\right)}{x^4+2 x^5+x^6} \, dx","Integrate[(-9*x^2 - 18*x^3 - 6*x^5 - 12*x^6 - 6*x^7 + E^(12 + x)*(9 + 15*x + 3*x^2 - 3*x^3))/(x^4 + 2*x^5 + x^6),x]","-\frac{3 e^{x+12}}{x^3}-3 x^2-\frac{9}{x+1}+\frac{9}{x}","\frac{3 \left(x \left(\frac{3}{x (x+1)}-x^2\right)-\frac{e^{x+12}}{x^2}\right)}{x}",1,"(-3*E^(12 + x))/x^3 + 9/x - 3*x^2 - 9/(1 + x)","A",1
8017,1,27,18,0.0053535,"\int \left(-2-2 x+10 x^2+4 x^3+\left(-2-4 x+30 x^2+16 x^3\right) \log (x)\right) \, dx","Integrate[-2 - 2*x + 10*x^2 + 4*x^3 + (-2 - 4*x + 30*x^2 + 16*x^3)*Log[x],x]","4 x^4 \log (x)+10 x^3 \log (x)-2 x^2 \log (x)-2 x \log (x)","x (2 x-1) (x (2 x+6)+2) \log (x)",1,"-2*x*Log[x] - 2*x^2*Log[x] + 10*x^3*Log[x] + 4*x^4*Log[x]","A",1
8018,1,51,38,0.1973135,"\int \frac{\exp \left(\frac{16613776 x+64 x^2-99128320 x^3+275697112 x^5-474425152 x^7+565203905 x^9-494075008 x^{11}+327641456 x^{13}-168042748 x^{15}+67334568 x^{17}-21141456 x^{19}+5182726 x^{21}-981456 x^{23}+140752 x^{25}-14780 x^{27}+1072 x^{29}-48 x^{31}+x^{33}}{16613776-99128320 x^2+275697112 x^4-474425152 x^6+565203905 x^8-494075008 x^{10}+327641456 x^{12}-168042748 x^{14}+67334568 x^{16}-21141456 x^{18}+5182726 x^{20}-981456 x^{22}+140752 x^{24}-14780 x^{26}+1072 x^{28}-48 x^{30}+x^{32}}\right) \left(67717750976+521728 x-606070548480 x^2+1556480 x^3+2589662421168 x^4-6021504 x^5-7030327854208 x^6+7306240 x^7+13612565902404 x^8-4580352 x^9-20004182838240 x^{10}+1656576 x^{11}+23178449018625 x^{12}-349184 x^{13}-21715716703800 x^{14}+39936 x^{15}+16738275785880 x^{16}-1920 x^{17}-10743242067610 x^{18}+5789669721888 x^{20}-2633985825000 x^{22}+1014667266639 x^{24}-331262302464 x^{26}+91550677392 x^{28}-21348937708 x^{30}+4177029780 x^{32}-679887504 x^{34}+90941519 x^{36}-9823272 x^{38}+835464 x^{40}-53850 x^{42}+2472 x^{44}-72 x^{46}+x^{48}\right)}{67717750976-606070548480 x^2+2589662421168 x^4-7030327854208 x^6+13612565902404 x^8-20004182838240 x^{10}+23178449018625 x^{12}-21715716703800 x^{14}+16738275785880 x^{16}-10743242067610 x^{18}+5789669721888 x^{20}-2633985825000 x^{22}+1014667266639 x^{24}-331262302464 x^{26}+91550677392 x^{28}-21348937708 x^{30}+4177029780 x^{32}-679887504 x^{34}+90941519 x^{36}-9823272 x^{38}+835464 x^{40}-53850 x^{42}+2472 x^{44}-72 x^{46}+x^{48}} \, dx","Integrate[(E^((16613776*x + 64*x^2 - 99128320*x^3 + 275697112*x^5 - 474425152*x^7 + 565203905*x^9 - 494075008*x^11 + 327641456*x^13 - 168042748*x^15 + 67334568*x^17 - 21141456*x^19 + 5182726*x^21 - 981456*x^23 + 140752*x^25 - 14780*x^27 + 1072*x^29 - 48*x^31 + x^33)/(16613776 - 99128320*x^2 + 275697112*x^4 - 474425152*x^6 + 565203905*x^8 - 494075008*x^10 + 327641456*x^12 - 168042748*x^14 + 67334568*x^16 - 21141456*x^18 + 5182726*x^20 - 981456*x^22 + 140752*x^24 - 14780*x^26 + 1072*x^28 - 48*x^30 + x^32))*(67717750976 + 521728*x - 606070548480*x^2 + 1556480*x^3 + 2589662421168*x^4 - 6021504*x^5 - 7030327854208*x^6 + 7306240*x^7 + 13612565902404*x^8 - 4580352*x^9 - 20004182838240*x^10 + 1656576*x^11 + 23178449018625*x^12 - 349184*x^13 - 21715716703800*x^14 + 39936*x^15 + 16738275785880*x^16 - 1920*x^17 - 10743242067610*x^18 + 5789669721888*x^20 - 2633985825000*x^22 + 1014667266639*x^24 - 331262302464*x^26 + 91550677392*x^28 - 21348937708*x^30 + 4177029780*x^32 - 679887504*x^34 + 90941519*x^36 - 9823272*x^38 + 835464*x^40 - 53850*x^42 + 2472*x^44 - 72*x^46 + x^48))/(67717750976 - 606070548480*x^2 + 2589662421168*x^4 - 7030327854208*x^6 + 13612565902404*x^8 - 20004182838240*x^10 + 23178449018625*x^12 - 21715716703800*x^14 + 16738275785880*x^16 - 10743242067610*x^18 + 5789669721888*x^20 - 2633985825000*x^22 + 1014667266639*x^24 - 331262302464*x^26 + 91550677392*x^28 - 21348937708*x^30 + 4177029780*x^32 - 679887504*x^34 + 90941519*x^36 - 9823272*x^38 + 835464*x^40 - 53850*x^42 + 2472*x^44 - 72*x^46 + x^48),x]","\exp \left(\frac{64 x^2}{\left(x^{16}-24 x^{14}+248 x^{12}-1438 x^{10}+5112 x^8-11416 x^6+15681 x^4-12160 x^2+4076\right)^2}+x\right)","\exp \left(\frac{4 x^2}{\left(5-\frac{1}{4} \left(x^2+\left(1-\left(3-x^2\right)^2\right)^2\right)^2\right)^2}+x\right)",1,"E^(x + (64*x^2)/(4076 - 12160*x^2 + 15681*x^4 - 11416*x^6 + 5112*x^8 - 1438*x^10 + 248*x^12 - 24*x^14 + x^16)^2)","A",1
8019,1,27,27,0.1349506,"\int \frac{\left(\left(40-5 x-20 x^2\right) \log (x)+\left(-10+5 x^2\right) \log ^2(x)\right) \log ^2(\log (x))+e^{\frac{x}{\log (\log (x))}} \left(x^2-x^2 \log (x) \log (\log (x))+\left(-2+x^2\right) \log (x) \log ^2(\log (x))\right)}{e^{\frac{x}{\log (\log (x))}} x^2 \log (x) \log ^2(\log (x))+\left(-20 x^2 \log (x)+5 x^2 \log ^2(x)\right) \log ^2(\log (x))} \, dx","Integrate[(((40 - 5*x - 20*x^2)*Log[x] + (-10 + 5*x^2)*Log[x]^2)*Log[Log[x]]^2 + E^(x/Log[Log[x]])*(x^2 - x^2*Log[x]*Log[Log[x]] + (-2 + x^2)*Log[x]*Log[Log[x]]^2))/(E^(x/Log[Log[x]])*x^2*Log[x]*Log[Log[x]]^2 + (-20*x^2*Log[x] + 5*x^2*Log[x]^2)*Log[Log[x]]^2),x]","x+\frac{2}{x}-\log \left(-5 \log (x)-e^{\frac{x}{\log (\log (x))}}+20\right)","x+\frac{2}{x}-\log \left(\log (x)+\frac{1}{5} e^{\frac{x}{\log (\log (x))}}-4\right)",1,"2/x + x - Log[20 - E^(x/Log[Log[x]]) - 5*Log[x]]","A",1
8020,1,27,27,0.1242967,"\int \frac{\left(-5 x-4 x^2\right) \log (x)+\left(-16-20 x-8 x^2\right) \log (x) \log \left(x^2\right)+\left(4+5 x+2 x^2\right) \log ^2\left(x^2\right)+\left(-4 x-5 x^2-2 x^3\right) \log ^4\left(x^2\right)+\left(4+5 x+2 x^2+\left(-8 x-10 x^2-4 x^3\right) \log ^2\left(x^2\right)\right) \log \left(4+5 x+2 x^2\right)+\left(-4 x-5 x^2-2 x^3\right) \log ^2\left(4+5 x+2 x^2\right)}{\left(4 x+5 x^2+2 x^3\right) \log ^4\left(x^2\right)+\left(8 x+10 x^2+4 x^3\right) \log ^2\left(x^2\right) \log \left(4+5 x+2 x^2\right)+\left(4 x+5 x^2+2 x^3\right) \log ^2\left(4+5 x+2 x^2\right)} \, dx","Integrate[((-5*x - 4*x^2)*Log[x] + (-16 - 20*x - 8*x^2)*Log[x]*Log[x^2] + (4 + 5*x + 2*x^2)*Log[x^2]^2 + (-4*x - 5*x^2 - 2*x^3)*Log[x^2]^4 + (4 + 5*x + 2*x^2 + (-8*x - 10*x^2 - 4*x^3)*Log[x^2]^2)*Log[4 + 5*x + 2*x^2] + (-4*x - 5*x^2 - 2*x^3)*Log[4 + 5*x + 2*x^2]^2)/((4*x + 5*x^2 + 2*x^3)*Log[x^2]^4 + (8*x + 10*x^2 + 4*x^3)*Log[x^2]^2*Log[4 + 5*x + 2*x^2] + (4*x + 5*x^2 + 2*x^3)*Log[4 + 5*x + 2*x^2]^2),x]","\frac{\log (x)}{\log ^2\left(x^2\right)+\log \left(2 x^2+5 x+4\right)}-x","\frac{\log (x)}{\log ^2\left(x^2\right)+\log ((2 x+4) x+x+4)}-x",1,"-x + Log[x]/(Log[x^2]^2 + Log[4 + 5*x + 2*x^2])","A",1
8021,1,27,30,0.0162974,"\int \frac{-99+6 x-10891 x^2+660 x^3-10 x^4+(33-2 x) \log (2)}{5445 x^2-330 x^3+5 x^4} \, dx","Integrate[(-99 + 6*x - 10891*x^2 + 660*x^3 - 10*x^4 + (33 - 2*x)*Log[2])/(5445*x^2 - 330*x^3 + 5*x^4),x]","\frac{-10 x^3+330 x^2+x-3+\log (2)}{5 (x-33) x}","-2 x+\frac{-x+3-\log (2)}{5 (33-x) x}+e^2",1,"(-3 + x + 330*x^2 - 10*x^3 + Log[2])/(5*(-33 + x)*x)","A",1
8022,1,9,10,0.0048966,"\int \frac{-1+4 x \log (x)}{x \log (x)} \, dx","Integrate[(-1 + 4*x*Log[x])/(x*Log[x]),x]","4 x-\log (\log (x))","4 x-\log (\log (x))+23",1,"4*x - Log[Log[x]]","A",1
8023,1,22,22,0.0025849,"\int \left(3-\log (x)-\log \left(\frac{\log (2)}{5 x}\right)\right) \, dx","Integrate[3 - Log[x] - Log[Log[2]/(5*x)],x]","3 x+x (-\log (x))-x \log \left(\frac{\log (2)}{5 x}\right)","x \left(-\log (x)-\log \left(\frac{\log (2)}{5 x}\right)+3\right)+5",1,"3*x - x*Log[x] - x*Log[Log[2]/(5*x)]","A",1
8024,1,34,28,0.1026371,"\int \frac{1}{8} \left(200 x+75 x^2+4 x^3+e^{2-2 x} \left(40 x-28 x^2-8 x^3\right)+\left(-40 x-12 x^2\right) \log (5)\right) \, dx","Integrate[(200*x + 75*x^2 + 4*x^3 + E^(2 - 2*x)*(40*x - 28*x^2 - 8*x^3) + (-40*x - 12*x^2)*Log[5])/8,x]","\frac{1}{8} e^{-2 x} x^2 (x+5) \left(e^{2 x} (x+20-4 \log (5))+4 e^2\right)","\frac{1}{2} x^2 (x+5) \left(\frac{x}{4}+e^{2-2 x}+5-\log (5)\right)",1,"(x^2*(5 + x)*(4*E^2 + E^(2*x)*(20 + x - 4*Log[5])))/(8*E^(2*x))","A",1
8025,1,14,14,0.0001071,"\int \frac{32}{3} e^{3+\sqrt[4]{e}} \, dx","Integrate[(32*E^(3 + E^(1/4)))/3,x]","\frac{32}{3} e^{3+\sqrt[4]{e}} x","\frac{32}{3} e^{3+\sqrt[4]{e}} x",1,"(32*E^(3 + E^(1/4))*x)/3","A",1
8026,1,38,29,0.8541349,"\int \frac{e^x \left(1280-288 x-144 x^2+32 x^3+16 x^4+e^{20} \left(-32 x+16 x^2\right)+e^{10} \left(192 x-32 x^3\right)-256 \log (2)\right)}{6400+1440 x^2+960 x^3+241 x^4+e^{40} x^4+108 x^5+54 x^6+12 x^7+x^8+e^{30} \left(-12 x^4-4 x^5\right)+e^{20} \left(160 x^2+54 x^4+36 x^5+6 x^6\right)+e^{10} \left(-960 x^2-320 x^3-108 x^4-108 x^5-36 x^6-4 x^7\right)+\left(-2560-288 x^2-32 e^{20} x^2-192 x^3-32 x^4+e^{10} \left(192 x^2+64 x^3\right)\right) \log (2)+256 \log ^2(2)} \, dx","Integrate[(E^x*(1280 - 288*x - 144*x^2 + 32*x^3 + 16*x^4 + E^20*(-32*x + 16*x^2) + E^10*(192*x - 32*x^3) - 256*Log[2]))/(6400 + 1440*x^2 + 960*x^3 + 241*x^4 + E^40*x^4 + 108*x^5 + 54*x^6 + 12*x^7 + x^8 + E^30*(-12*x^4 - 4*x^5) + E^20*(160*x^2 + 54*x^4 + 36*x^5 + 6*x^6) + E^10*(-960*x^2 - 320*x^3 - 108*x^4 - 108*x^5 - 36*x^6 - 4*x^7) + (-2560 - 288*x^2 - 32*E^20*x^2 - 192*x^3 - 32*x^4 + E^10*(192*x^2 + 64*x^3))*Log[2] + 256*Log[2]^2),x]","\frac{16 e^x}{x^4-2 \left(e^{10}-3\right) x^3+\left(e^{10}-3\right)^2 x^2-16 (\log (2)-5)}","\frac{e^x}{\frac{1}{16} x^2 \left(x-e^{10}+3\right)^2+5-\log (2)}",1,"(16*E^x)/((-3 + E^10)^2*x^2 - 2*(-3 + E^10)*x^3 + x^4 - 16*(-5 + Log[2]))","A",1
8027,1,17,21,0.0036794,"\int \frac{4+4 x}{e^9-2 x-x^2+\log (5)} \, dx","Integrate[(4 + 4*x)/(E^9 - 2*x - x^2 + Log[5]),x]","-2 \log \left(-x^2-2 x+e^9+\log (5)\right)","\log \left(\frac{1}{2 \left(-x^2-2 x+e^9+\log (5)\right)^2}\right)",1,"-2*Log[E^9 - 2*x - x^2 + Log[5]]","A",1
8028,1,20,20,0.23832,"\int \frac{\left(12 x+12 e^x x\right) \log \left(48+3 e^{2 x}+24 x+3 x^2+e^x (24+6 x)\right)+\left(-12-3 e^x-3 x\right) \log ^2\left(48+3 e^{2 x}+24 x+3 x^2+e^x (24+6 x)\right)}{16 x^2+4 e^x x^2+4 x^3} \, dx","Integrate[((12*x + 12*E^x*x)*Log[48 + 3*E^(2*x) + 24*x + 3*x^2 + E^x*(24 + 6*x)] + (-12 - 3*E^x - 3*x)*Log[48 + 3*E^(2*x) + 24*x + 3*x^2 + E^x*(24 + 6*x)]^2)/(16*x^2 + 4*E^x*x^2 + 4*x^3),x]","\frac{3 \log ^2\left(3 \left(x+e^x+4\right)^2\right)}{4 x}","\frac{3 \log ^2\left(3 \left(x+e^x+4\right)^2\right)}{4 x}",1,"(3*Log[3*(4 + E^x + x)^2]^2)/(4*x)","A",1
8029,1,6,9,0.0009672,"\int \frac{-2+x}{x} \, dx","Integrate[(-2 + x)/x,x]","x-2 \log (x)","x-2 \log (x)+22+\log (4)",1,"x - 2*Log[x]","A",1
8030,1,16,23,0.0895329,"\int \frac{4 x \log \left(3 x^2\right)+2 x \log ^2\left(3 x^2\right)}{-9+x^2 \log ^2\left(3 x^2\right)} \, dx","Integrate[(4*x*Log[3*x^2] + 2*x*Log[3*x^2]^2)/(-9 + x^2*Log[3*x^2]^2),x]","\log \left(3 x^2 \log ^2\left(3 x^2\right)-27\right)","\log \left(9-x^2 \log ^2\left(3 x^2\right)\right)-e^4+5",1,"Log[-27 + 3*x^2*Log[3*x^2]^2]","A",1
8031,1,17,24,0.0124242,"\int \frac{2 e^x-16 e^{4 x^2} x}{e^{2 x}+e^{8 x^2}-2 e^{x+4 x^2}} \, dx","Integrate[(2*E^x - 16*E^(4*x^2)*x)/(E^(2*x) + E^(8*x^2) - 2*E^(x + 4*x^2)),x]","-\frac{2}{e^x-e^{4 x^2}}","\frac{2}{e^{4 x^2}-e^x}-\frac{3}{e^5}-1",1,"-2/(E^x - E^(4*x^2))","A",1
8032,1,22,22,0.8994613,"\int \frac{1+4 x-4 x^2+e^{e^x} \left(-1+e^x (-2+x)-3 x+2 x^2\right)}{3 x+x^2-2 x^3+e^{e^x} \left(-2 x-x^2+x^3\right)+\left(3+e^{e^x} (-2+x)-2 x\right) \log \left(-3+e^{e^x} (2-x)+2 x\right)} \, dx","Integrate[(1 + 4*x - 4*x^2 + E^E^x*(-1 + E^x*(-2 + x) - 3*x + 2*x^2))/(3*x + x^2 - 2*x^3 + E^E^x*(-2*x - x^2 + x^3) + (3 + E^E^x*(-2 + x) - 2*x)*Log[-3 + E^E^x*(2 - x) + 2*x]),x]","\log \left(x^2+x+\log \left(-e^{e^x} (x-2)+2 x-3\right)\right)","\log \left(x^2+x+\log \left(\left(2-e^{e^x}\right) (x-2)+1\right)\right)",1,"Log[x + x^2 + Log[-3 - E^E^x*(-2 + x) + 2*x]]","A",1
8033,1,30,23,0.0452423,"\int \frac{-24+63 x-30 x^2-12 x^3+6 x^4+\left(-6+15 x-8 x^2-2 x^3+x^4\right) \log \left(\frac{-6+9 x+x^2-x^3}{-x+x^2}\right)}{-6+15 x-8 x^2-2 x^3+x^4} \, dx","Integrate[(-24 + 63*x - 30*x^2 - 12*x^3 + 6*x^4 + (-6 + 15*x - 8*x^2 - 2*x^3 + x^4)*Log[(-6 + 9*x + x^2 - x^3)/(-x + x^2)])/(-6 + 15*x - 8*x^2 - 2*x^3 + x^4),x]","x \log \left(\frac{x^3-x^2-9 x+6}{x-x^2}\right)+5 x","x \left(\log \left(\frac{3 \left(\frac{1}{x-1}+3\right)}{x}-x\right)+5\right)-16",1,"5*x + x*Log[(6 - 9*x - x^2 + x^3)/(x - x^2)]","A",1
8034,1,18,21,0.1972134,"\int \frac{e^{1+\left(3-5 e^{\frac{3 x^3}{2}}+x\right) \log (x)} \left(6-10 e^{\frac{3 x^3}{2}}+2 x+\left(2 x-45 e^{\frac{3 x^3}{2}} x^3\right) \log (x)\right)}{2 x} \, dx","Integrate[(E^(1 + (3 - 5*E^((3*x^3)/2) + x)*Log[x])*(6 - 10*E^((3*x^3)/2) + 2*x + (2*x - 45*E^((3*x^3)/2)*x^3)*Log[x]))/(2*x),x]","e x^{-5 e^{\frac{3 x^3}{2}}+x+3}","e^{\left(-5 e^{\frac{3 x^3}{2}}+x+3\right) \log (x)+1}",1,"E*x^(3 - 5*E^((3*x^3)/2) + x)","A",1
8035,1,14,26,0.0031485,"\int \frac{-1+5 x+x \log \left(\frac{e^5}{x}\right)}{x} \, dx","Integrate[(-1 + 5*x + x*Log[E^5/x])/x,x]","11 x+x \log \left(\frac{1}{x}\right)-\log (x)","x \left(x+\log \left(\frac{e^5}{x}\right)-\frac{\log (x)}{x}+6\right)-x^2",1,"11*x + x*Log[x^(-1)] - Log[x]","A",1
8036,1,14,11,0.0054646,"\int \left(162+e^x (-2-2 x)-4 x\right) \, dx","Integrate[162 + E^x*(-2 - 2*x) - 4*x,x]","-2 \left(x^2+e^x x-81 x\right)","-2 x \left(x+e^x-81\right)-24",1,"-2*(-81*x + E^x*x + x^2)","A",1
8037,1,40,31,0.0499508,"\int \frac{-6-11 x+6 x^2-2 x^3+\left(6-2 x-12 x^2+2 x^3\right) \log (x)+\left(6 x-4 x^3\right) \log ^2(x)-2 x \log ^3(x)+\left(-9 x-12 x^2 \log (x)-4 x^3 \log ^2(x)\right) \log (2 x)}{9 x+12 x^2 \log (x)+4 x^3 \log ^2(x)} \, dx","Integrate[(-6 - 11*x + 6*x^2 - 2*x^3 + (6 - 2*x - 12*x^2 + 2*x^3)*Log[x] + (6*x - 4*x^3)*Log[x]^2 - 2*x*Log[x]^3 + (-9*x - 12*x^2*Log[x] - 4*x^3*Log[x]^2)*Log[2*x])/(9*x + 12*x^2*Log[x] + 4*x^3*Log[x]^2),x]","\frac{x^2-2 \log (x) \left(x^2 \log (2 x)+1\right)+\log ^2(x)-3 x \log (2 x)+1}{2 x \log (x)+3}","x \left(\frac{x+\frac{(\log (x)-1)^2}{x}}{2 x \log (x)+3}-\log (2 x)\right)",1,"(1 + x^2 + Log[x]^2 - 3*x*Log[2*x] - 2*Log[x]*(1 + x^2*Log[2*x]))/(3 + 2*x*Log[x])","A",1
8038,1,23,26,0.0707235,"\int \frac{-2 e^{25+10 e^2+e^4+x^2} x^2+e^{x^2} \left(2-x+8 x^2-2 x^3\right)+4 e^{x^2} x^2 \log (x)}{x} \, dx","Integrate[(-2*E^(25 + 10*E^2 + E^4 + x^2)*x^2 + E^x^2*(2 - x + 8*x^2 - 2*x^3) + 4*E^x^2*x^2*Log[x])/x,x]","-e^{x^2} \left(x-2 \log (x)+e^{\left(5+e^2\right)^2}-4\right)","e^{x^2} \left(-x+2 \log (x)-e^{\left(5+e^2\right)^2}+4\right)",1,"-(E^x^2*(-4 + E^(5 + E^2)^2 + x - 2*Log[x]))","A",1
8039,1,22,21,0.349038,"\int \frac{e^{2+2 x} (10+4 x) \log (4+x)+e^{2+2 x} \left(32+24 x+4 x^2\right) \log ^2(4+x)}{100+105 x+36 x^2+4 x^3} \, dx","Integrate[(E^(2 + 2*x)*(10 + 4*x)*Log[4 + x] + E^(2 + 2*x)*(32 + 24*x + 4*x^2)*Log[4 + x]^2)/(100 + 105*x + 36*x^2 + 4*x^3),x]","\frac{2 e^{2 x+2} \log ^2(x+4)}{4 x+10}","\frac{e^{2 x+2} \log ^2(x+4)}{2 x+5}",1,"(2*E^(2 + 2*x)*Log[4 + x]^2)/(10 + 4*x)","A",1
8040,1,37,40,0.2062167,"\int \frac{-5 x^2+e^x \left(5 x-x^2+x^3\right)+\left(5 x^2-5 e^x x^2\right) \log \left(\frac{x}{3}\right)+\left(-12 x+4 x^2+(60-20 x) \log \left(\frac{x}{3}\right)\right) \log \left(3 x^2\right)+\left(-15+11 x-x^2-15 \log \left(\frac{x}{3}\right)\right) \log ^2\left(3 x^2\right)}{e^{2 x} x^2-2 e^x x^3+x^4+\left(6 x^2-2 x^3+e^x \left(-6 x+2 x^2\right)\right) \log ^2\left(3 x^2\right)+\left(9-6 x+x^2\right) \log ^4\left(3 x^2\right)} \, dx","Integrate[(-5*x^2 + E^x*(5*x - x^2 + x^3) + (5*x^2 - 5*E^x*x^2)*Log[x/3] + (-12*x + 4*x^2 + (60 - 20*x)*Log[x/3])*Log[3*x^2] + (-15 + 11*x - x^2 - 15*Log[x/3])*Log[3*x^2]^2)/(E^(2*x)*x^2 - 2*E^x*x^3 + x^4 + (6*x^2 - 2*x^3 + E^x*(-6*x + 2*x^2))*Log[3*x^2]^2 + (9 - 6*x + x^2)*Log[3*x^2]^4),x]","\frac{x \left(x-5 \log \left(\frac{x}{3}\right)\right)}{x \left(x-e^x\right)-(x-3) \log ^2\left(3 x^2\right)}","\frac{5 \log \left(\frac{x}{3}\right)-x}{-\frac{(3-x) \log ^2\left(3 x^2\right)}{x}+e^x-x}",1,"(x*(x - 5*Log[x/3]))/(x*(-E^x + x) - (-3 + x)*Log[3*x^2]^2)","A",1
8041,1,68,35,0.2329091,"\int \frac{e^{\frac{-5+x}{x}} \left(2 x^2-32 x^3-8 x^5\right)+\left(16 x^2-x^3+8 x^4+x^6+e^{\frac{2 (-5+x)}{x}} \left(-160+10 x-80 x^2-10 x^4\right)\right) \log \left(-16+x-8 x^2-x^4\right) \log \left(\frac{1}{4} \log \left(-16+x-8 x^2-x^4\right)\right)+\left(2 x^2-32 x^3-8 x^5+e^{\frac{-5+x}{x}} \left(-160+10 x-80 x^2-10 x^4\right) \log \left(-16+x-8 x^2-x^4\right) \log \left(\frac{1}{4} \log \left(-16+x-8 x^2-x^4\right)\right)\right) \log \left(\log \left(\frac{1}{4} \log \left(-16+x-8 x^2-x^4\right)\right)\right)}{\left(16 x^2-x^3+8 x^4+x^6\right) \log \left(-16+x-8 x^2-x^4\right) \log \left(\frac{1}{4} \log \left(-16+x-8 x^2-x^4\right)\right)} \, dx","Integrate[(E^((-5 + x)/x)*(2*x^2 - 32*x^3 - 8*x^5) + (16*x^2 - x^3 + 8*x^4 + x^6 + E^((2*(-5 + x))/x)*(-160 + 10*x - 80*x^2 - 10*x^4))*Log[-16 + x - 8*x^2 - x^4]*Log[Log[-16 + x - 8*x^2 - x^4]/4] + (2*x^2 - 32*x^3 - 8*x^5 + E^((-5 + x)/x)*(-160 + 10*x - 80*x^2 - 10*x^4)*Log[-16 + x - 8*x^2 - x^4]*Log[Log[-16 + x - 8*x^2 - x^4]/4])*Log[Log[Log[-16 + x - 8*x^2 - x^4]/4]])/((16*x^2 - x^3 + 8*x^4 + x^6)*Log[-16 + x - 8*x^2 - x^4]*Log[Log[-16 + x - 8*x^2 - x^4]/4]),x]","-\log ^2\left(\log \left(\frac{1}{4} \log \left(-x^4-8 x^2+x-16\right)\right)\right)-2 e^{1-\frac{5}{x}} \log \left(\log \left(\frac{1}{4} \log \left(-x^4-8 x^2+x-16\right)\right)\right)-e^{2-\frac{10}{x}}+x","-\left(\log \left(\log \left(\frac{1}{4} \log \left(x-\left(x^2+4\right)^2\right)\right)\right)+e^{1-\frac{5}{x}}\right)^2+x-1",1,"-E^(2 - 10/x) + x - 2*E^(1 - 5/x)*Log[Log[Log[-16 + x - 8*x^2 - x^4]/4]] - Log[Log[Log[-16 + x - 8*x^2 - x^4]/4]]^2","A",1
8042,1,39,30,0.3205734,"\int \frac{-28-88 x+13 x^2+16 x^3+2 x^4+e^x \left(-16+32 x-8 x^2-8 x^3-x^4\right) \log (16)+\left(16-64 x+72 x^2-8 x^3-15 x^4-2 x^5\right) \log (16)}{16-32 x+8 x^2+8 x^3+x^4} \, dx","Integrate[(-28 - 88*x + 13*x^2 + 16*x^3 + 2*x^4 + E^x*(-16 + 32*x - 8*x^2 - 8*x^3 - x^4)*Log[16] + (16 - 64*x + 72*x^2 - 8*x^3 - 15*x^4 - 2*x^5)*Log[16])/(16 - 32*x + 8*x^2 + 8*x^3 + x^4),x]","\frac{3 (x+4)}{x^2+4 x-4}+x^2 (-\log (16))-x (-2-\log (16))-e^x \log (16)","2 x+\frac{3}{x-\frac{4}{x+4}}-\left((x-1) x+e^x\right) \log (16)",1,"(3*(4 + x))/(-4 + 4*x + x^2) - x*(-2 - Log[16]) - E^x*Log[16] - x^2*Log[16]","A",1
8043,0,0,28,0.6943864,"\int \frac{e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x-2 x \log (3)-4 e^{2-x^2} x^2 \log (3)+\left(1+e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x\right) \log \left(e^{2 e^{2-x^2} \log (3)-2 x \log (3)} \left(-1-e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x\right)\right)}{\left(x+e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x^2\right) \log \left(e^{2 e^{2-x^2} \log (3)-2 x \log (3)} \left(-1-e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x\right)\right) \log \left(x \log \left(e^{2 e^{2-x^2} \log (3)-2 x \log (3)} \left(-1-e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x\right)\right)\right)} \, dx","Integrate[(E^(-2*E^(2 - x^2)*Log[3] + 2*x*Log[3])*x - 2*x*Log[3] - 4*E^(2 - x^2)*x^2*Log[3] + (1 + E^(-2*E^(2 - x^2)*Log[3] + 2*x*Log[3])*x)*Log[E^(2*E^(2 - x^2)*Log[3] - 2*x*Log[3])*(-1 - E^(-2*E^(2 - x^2)*Log[3] + 2*x*Log[3])*x)])/((x + E^(-2*E^(2 - x^2)*Log[3] + 2*x*Log[3])*x^2)*Log[E^(2*E^(2 - x^2)*Log[3] - 2*x*Log[3])*(-1 - E^(-2*E^(2 - x^2)*Log[3] + 2*x*Log[3])*x)]*Log[x*Log[E^(2*E^(2 - x^2)*Log[3] - 2*x*Log[3])*(-1 - E^(-2*E^(2 - x^2)*Log[3] + 2*x*Log[3])*x)]]),x]","\int \frac{e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x-2 x \log (3)-4 e^{2-x^2} x^2 \log (3)+\left(1+e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x\right) \log \left(e^{2 e^{2-x^2} \log (3)-2 x \log (3)} \left(-1-e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x\right)\right)}{\left(x+e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x^2\right) \log \left(e^{2 e^{2-x^2} \log (3)-2 x \log (3)} \left(-1-e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x\right)\right) \log \left(x \log \left(e^{2 e^{2-x^2} \log (3)-2 x \log (3)} \left(-1-e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x\right)\right)\right)} \, dx","\log \left(\log \left(x \log \left(-3^{2 e^{2-x^2}-2 x}-x\right)\right)\right)",1,"Integrate[(E^(-2*E^(2 - x^2)*Log[3] + 2*x*Log[3])*x - 2*x*Log[3] - 4*E^(2 - x^2)*x^2*Log[3] + (1 + E^(-2*E^(2 - x^2)*Log[3] + 2*x*Log[3])*x)*Log[E^(2*E^(2 - x^2)*Log[3] - 2*x*Log[3])*(-1 - E^(-2*E^(2 - x^2)*Log[3] + 2*x*Log[3])*x)])/((x + E^(-2*E^(2 - x^2)*Log[3] + 2*x*Log[3])*x^2)*Log[E^(2*E^(2 - x^2)*Log[3] - 2*x*Log[3])*(-1 - E^(-2*E^(2 - x^2)*Log[3] + 2*x*Log[3])*x)]*Log[x*Log[E^(2*E^(2 - x^2)*Log[3] - 2*x*Log[3])*(-1 - E^(-2*E^(2 - x^2)*Log[3] + 2*x*Log[3])*x)]]), x]","F",-1
8044,1,45,34,5.1457829,"\int \frac{-2 x+8 x^4-3 x^5+e^{\frac{4-2 x+e^x x}{x}} \left(8-6 x-8 x^3+12 x^4-3 x^5+e^x \left(-2 x^2+x^3+2 x^5-x^6\right)\right)}{12 x-12 x^2+3 x^3} \, dx","Integrate[(-2*x + 8*x^4 - 3*x^5 + E^((4 - 2*x + E^x*x)/x)*(8 - 6*x - 8*x^3 + 12*x^4 - 3*x^5 + E^x*(-2*x^2 + x^3 + 2*x^5 - x^6)))/(12*x - 12*x^2 + 3*x^3),x]","\frac{e^{e^x+\frac{4}{x}} \left(x-x^4\right)-e^2 \left(x^4-8 x+14\right)}{3 e^2 (x-2)}","\frac{\left(e^{e^x-\frac{2 (x-2)}{x}}+1\right) \left(x^4-x\right)}{3 (2-x)}",1,"(E^(E^x + 4/x)*(x - x^4) - E^2*(14 - 8*x + x^4))/(3*E^2*(-2 + x))","A",1
8045,1,20,25,0.0268606,"\int \frac{198 e+(-3-132 e) e^x+22 e^{1+2 x}}{9 e-6 e^{1+x}+e^{1+2 x}} \, dx","Integrate[(198*E + (-3 - 132*E)*E^x + 22*E^(1 + 2*x))/(9*E - 6*E^(1 + x) + E^(1 + 2*x)),x]","\frac{22 e x-\frac{3}{3-e^x}}{e}","-25 (3-x)-3 x+\frac{e^{x-1}}{e^x-3}+1",1,"(-3/(3 - E^x) + 22*E*x)/E","A",1
8046,1,19,17,0.1474988,"\int \frac{e^{25} (1+4 x)}{4 \left(-4 x+4 x^2+x \log (6 x)\right)} \, dx","Integrate[(E^25*(1 + 4*x))/(4*(-4*x + 4*x^2 + x*Log[6*x])),x]","\frac{1}{4} e^{25} \log (-12 x-3 \log (6 x)+12)","\frac{1}{4} e^{25} \log (4 x+\log (6 x)-4)",1,"(E^25*Log[12 - 12*x - 3*Log[6*x]])/4","A",1
8047,1,32,29,0.0696625,"\int \frac{e \left(2+2 x-5 x^2+9 x^3\right)+e \left(-4 x^2+6 x^3\right) \log (x)+e \left(-x^2+x^3\right) \log ^2(x)+\left(e \left(-4 x+10 x^3\right)+8 e x^3 \log (x)+2 e x^3 \log ^2(x)\right) \log \left(\frac{2-5 x^2-4 x^2 \log (x)-x^2 \log ^2(x)}{x}\right)}{-2+5 x^2+4 x^2 \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(E*(2 + 2*x - 5*x^2 + 9*x^3) + E*(-4*x^2 + 6*x^3)*Log[x] + E*(-x^2 + x^3)*Log[x]^2 + (E*(-4*x + 10*x^3) + 8*E*x^3*Log[x] + 2*E*x^3*Log[x]^2)*Log[(2 - 5*x^2 - 4*x^2*Log[x] - x^2*Log[x]^2)/x])/(-2 + 5*x^2 + 4*x^2*Log[x] + x^2*Log[x]^2),x]","e \left(x^2 \log \left(-5 x+\frac{2}{x}-x \log ^2(x)-4 x \log (x)\right)-x\right)","e \left(x^2 \log \left(-x+\frac{2}{x}-x (\log (x)+2)^2\right)-x\right)",1,"E*(-x + x^2*Log[2/x - 5*x - 4*x*Log[x] - x*Log[x]^2])","A",1
8048,1,22,29,0.0540515,"\int \left(1+e^{8 x} \left(66+10 e^{2 x}+12 x-16 x^2\right)\right) \, dx","Integrate[1 + E^(8*x)*(66 + 10*E^(2*x) + 12*x - 16*x^2),x]","2 e^{8 x} \left(-x^2+x+4\right)+x+e^{10 x}","-2 e^{8 x} \left(x^2-x-\frac{e^{2 x}}{2}-4\right)+x+e^5",1,"E^(10*x) + x + 2*E^(8*x)*(4 + x - x^2)","A",1
8049,1,21,24,0.2132983,"\int \frac{-36 x+54 x^2-18 x^3+\left(-36 x+72 x^2-18 x^3\right) \log (x)+\left(36 x-54 x^2+18 x^3\right) \log (x) \log \left(\frac{\left(2 x-2 x^2\right) \log (x)}{-2+x}\right)}{\left(2-3 x+x^2\right) \log (x) \log ^3\left(\frac{\left(2 x-2 x^2\right) \log (x)}{-2+x}\right)} \, dx","Integrate[(-36*x + 54*x^2 - 18*x^3 + (-36*x + 72*x^2 - 18*x^3)*Log[x] + (36*x - 54*x^2 + 18*x^3)*Log[x]*Log[((2*x - 2*x^2)*Log[x])/(-2 + x)])/((2 - 3*x + x^2)*Log[x]*Log[((2*x - 2*x^2)*Log[x])/(-2 + x)]^3),x]","\frac{9 x^2}{\log ^2\left(-\frac{2 (x-1) x \log (x)}{x-2}\right)}","\frac{9 x^2}{\log ^2\left(\frac{2 \left(x-x^2\right) \log (x)}{x-2}\right)}",1,"(9*x^2)/Log[(-2*(-1 + x)*x*Log[x])/(-2 + x)]^2","A",1
8050,1,20,24,0.4655624,"\int e^{25-19 x+(25-19 x) \log \left(81 x^4\right)} \left(102 x-95 x^2-19 x^2 \log \left(81 x^4\right)\right) \, dx","Integrate[E^(25 - 19*x + (25 - 19*x)*Log[81*x^4])*(102*x - 95*x^2 - 19*x^2*Log[81*x^4]),x]","(81 e)^{25-19 x} x^{102} \left(x^4\right)^{-19 x}","x^2 e^{(5 (5-4 x)+x) \left(\log \left(81 x^4\right)+1\right)}",1,"((81*E)^(25 - 19*x)*x^102)/(x^4)^(19*x)","A",1
8051,1,184,30,1.7018019,"\int \exp \left(e^{32}+e^{4 x^2}+x^8+4 x^9+6 x^{10}+4 x^{11}+x^{12}+e^{16} \left(-2 x^4-4 x^5-2 x^6\right)+e^{2 x^2} \left(2 e^{16}-2 x^4-4 x^5-2 x^6\right)+\left(4 x^7+16 x^8+24 x^9+16 x^{10}+4 x^{11}+e^{16} \left(-4 x^3-8 x^4-4 x^5\right)+e^{2 x^2} \left(-4 x^3-8 x^4-4 x^5\right)\right) \log (x)+\left(6 x^6+24 x^7+36 x^8+24 x^9+6 x^{10}+e^{16} \left(-2 x^2-4 x^3-2 x^4\right)+e^{2 x^2} \left(-2 x^2-4 x^3-2 x^4\right)\right) \log ^2(x)+\left(4 x^5+16 x^6+24 x^7+16 x^8+4 x^9\right) \log ^3(x)+\left(x^4+4 x^5+6 x^6+4 x^7+x^8\right) \log ^4(x)\right) \left(8 e^{4 x^2} x+4 x^6+24 x^7+60 x^8+76 x^9+48 x^{10}+12 x^{11}+e^{16} \left(-4 x^2-16 x^3-24 x^4-12 x^5\right)+e^{2 x^2} \left(8 e^{16} x-4 x^2-16 x^3-24 x^4-20 x^5-16 x^6-8 x^7\right)+\left(12 x^5+76 x^6+200 x^7+264 x^8+172 x^9+44 x^{10}+e^{16} \left(-4 x-20 x^2-36 x^3-20 x^4\right)+e^{2 x^2} \left(-4 x-20 x^2-36 x^3-36 x^4-32 x^5-16 x^6\right)\right) \log (x)+\left(12 x^4+84 x^5+240 x^6+336 x^7+228 x^8+60 x^9+e^{16} \left(-4 x-12 x^2-8 x^3\right)+e^{2 x^2} \left(-4 x-12 x^2-16 x^3-16 x^4-8 x^5\right)\right) \log ^2(x)+\left(4 x^3+36 x^4+120 x^5+184 x^6+132 x^7+36 x^8\right) \log ^3(x)+\left(4 x^3+20 x^4+36 x^5+28 x^6+8 x^7\right) \log ^4(x)\right) \, dx","Integrate[E^(E^32 + E^(4*x^2) + x^8 + 4*x^9 + 6*x^10 + 4*x^11 + x^12 + E^16*(-2*x^4 - 4*x^5 - 2*x^6) + E^(2*x^2)*(2*E^16 - 2*x^4 - 4*x^5 - 2*x^6) + (4*x^7 + 16*x^8 + 24*x^9 + 16*x^10 + 4*x^11 + E^16*(-4*x^3 - 8*x^4 - 4*x^5) + E^(2*x^2)*(-4*x^3 - 8*x^4 - 4*x^5))*Log[x] + (6*x^6 + 24*x^7 + 36*x^8 + 24*x^9 + 6*x^10 + E^16*(-2*x^2 - 4*x^3 - 2*x^4) + E^(2*x^2)*(-2*x^2 - 4*x^3 - 2*x^4))*Log[x]^2 + (4*x^5 + 16*x^6 + 24*x^7 + 16*x^8 + 4*x^9)*Log[x]^3 + (x^4 + 4*x^5 + 6*x^6 + 4*x^7 + x^8)*Log[x]^4)*(8*E^(4*x^2)*x + 4*x^6 + 24*x^7 + 60*x^8 + 76*x^9 + 48*x^10 + 12*x^11 + E^16*(-4*x^2 - 16*x^3 - 24*x^4 - 12*x^5) + E^(2*x^2)*(8*E^16*x - 4*x^2 - 16*x^3 - 24*x^4 - 20*x^5 - 16*x^6 - 8*x^7) + (12*x^5 + 76*x^6 + 200*x^7 + 264*x^8 + 172*x^9 + 44*x^10 + E^16*(-4*x - 20*x^2 - 36*x^3 - 20*x^4) + E^(2*x^2)*(-4*x - 20*x^2 - 36*x^3 - 36*x^4 - 32*x^5 - 16*x^6))*Log[x] + (12*x^4 + 84*x^5 + 240*x^6 + 336*x^7 + 228*x^8 + 60*x^9 + E^16*(-4*x - 12*x^2 - 8*x^3) + E^(2*x^2)*(-4*x - 12*x^2 - 16*x^3 - 16*x^4 - 8*x^5))*Log[x]^2 + (4*x^3 + 36*x^4 + 120*x^5 + 184*x^6 + 132*x^7 + 36*x^8)*Log[x]^3 + (4*x^3 + 20*x^4 + 36*x^5 + 28*x^6 + 8*x^7)*Log[x]^4),x]","x^{4 x^3 (x+1)^2 \left((x+1)^2 x^4-e^{2 x^2}-e^{16}\right)} \exp \left(x^{12}+4 x^{11}+6 x^{10}+4 x^9+x^8-2 e^{16} x^6-4 e^{16} x^5+4 (x+1)^4 x^5 \log ^3(x)-2 e^{16} x^4+(x+1)^4 x^4 \log ^4(x)+e^{4 x^2}+2 e^{2 x^2} \left(e^{16}-x^4 (x+1)^2\right)+2 (x+1)^2 \left(3 (x+1)^2 x^4-e^{2 x^2}-e^{16}\right) x^2 \log ^2(x)+e^{32}\right)","\exp \left(\left(e^{2 x^2}-\left(x^2+x\right)^2 (x+\log (x))^2+e^{16}\right)^2\right)",1,"E^(E^32 + E^(4*x^2) - 2*E^16*x^4 - 4*E^16*x^5 - 2*E^16*x^6 + x^8 + 4*x^9 + 6*x^10 + 4*x^11 + x^12 + 2*E^(2*x^2)*(E^16 - x^4*(1 + x)^2) + 2*x^2*(1 + x)^2*(-E^16 - E^(2*x^2) + 3*x^4*(1 + x)^2)*Log[x]^2 + 4*x^5*(1 + x)^4*Log[x]^3 + x^4*(1 + x)^4*Log[x]^4)*x^(4*x^3*(1 + x)^2*(-E^16 - E^(2*x^2) + x^4*(1 + x)^2))","B",1
8052,1,29,28,0.1052772,"\int \frac{-2 e^4 x+e^x \left(6 x-6 x^2+x^3+x^4+e^4 \left(-6+6 x-x^2-x^3\right)\right)}{e^4 x^2-x^3} \, dx","Integrate[(-2*E^4*x + E^x*(6*x - 6*x^2 + x^3 + x^4 + E^4*(-6 + 6*x - x^2 - x^3)))/(E^4*x^2 - x^3),x]","-e^x x+\frac{6 e^x}{x}+2 \log \left(e^4-x\right)-2 \log (x)","\log \left(\frac{\left(e^4-x\right)^2}{x^2}\right)-e^x \left(x-\frac{6}{x}\right)+e",1,"(6*E^x)/x - E^x*x + 2*Log[E^4 - x] - 2*Log[x]","A",1
8053,1,17,24,0.0066167,"\int \frac{-1-256 e^{2+64 e^2 x^2} x^2}{x} \, dx","Integrate[(-1 - 256*E^(2 + 64*E^2*x^2)*x^2)/x,x]","-2 e^{64 e^2 x^2}-\log (x)","11-\log \left(\frac{1}{5} e^{2 e^{64 e^2 x^2}} x\right)",1,"-2*E^(64*E^2*x^2) - Log[x]","A",1
8054,1,29,30,0.0632879,"\int \frac{-250 x^2-25 x^3-125 x^5+\left(-29600 x-8380 x^2-745 x^3+7380 x^4+1725 x^5+100 x^6\right) \log \left(\frac{37+4 x}{8+x}\right)}{\left(29600+12820 x+2076 x^2+29749 x^3+9864 x^4+1090 x^5+7440 x^6+1725 x^7+100 x^8\right) \log ^2\left(\frac{37+4 x}{8+x}\right)} \, dx","Integrate[(-250*x^2 - 25*x^3 - 125*x^5 + (-29600*x - 8380*x^2 - 745*x^3 + 7380*x^4 + 1725*x^5 + 100*x^6)*Log[(37 + 4*x)/(8 + x)])/((29600 + 12820*x + 2076*x^2 + 29749*x^3 + 9864*x^4 + 1090*x^5 + 7440*x^6 + 1725*x^7 + 100*x^8)*Log[(37 + 4*x)/(8 + x)]^2),x]","-\frac{5 x^2}{\left(5 x^3+x+10\right) \log \left(\frac{4 x+37}{x+8}\right)}","\frac{x}{\left(-x^2-\frac{2}{x}-\frac{1}{5}\right) \log \left(\frac{5}{x+8}+4\right)}",1,"(-5*x^2)/((10 + x + 5*x^3)*Log[(37 + 4*x)/(8 + x)])","A",1
8055,1,29,23,0.577185,"\int \frac{e^{2 x^2-4 x \log \left(\frac{1}{x^2}\right)+2 \log ^2\left(\frac{1}{x^2}\right)} \left(-4+\left(-8+32 x+16 x^2+(-32-16 x) \log \left(\frac{1}{x^2}\right)\right) \log (x)\right)}{x^3 \log ^2(x)} \, dx","Integrate[(E^(2*x^2 - 4*x*Log[x^(-2)] + 2*Log[x^(-2)]^2)*(-4 + (-8 + 32*x + 16*x^2 + (-32 - 16*x)*Log[x^(-2)])*Log[x]))/(x^3*Log[x]^2),x]","\frac{4 \left(\frac{1}{x^2}\right)^{1-4 x} e^{2 \left(x^2+\log ^2\left(\frac{1}{x^2}\right)\right)}}{\log (x)}","\frac{4 e^{2 \left(x-\log \left(\frac{1}{x^2}\right)\right)^2}}{x^2 \log (x)}",1,"(4*E^(2*(x^2 + Log[x^(-2)]^2))*(x^(-2))^(1 - 4*x))/Log[x]","A",1
8056,1,7,21,0.0032791,"\int 14 e^{9+14 x} \, dx","Integrate[14*E^(9 + 14*x),x]","e^{14 x+9}","e^{2 \left(-x^2-x+(x+4)^2-12\right)+1}",1,"E^(9 + 14*x)","A",1
8057,0,0,28,95.2897129,"\int \frac{\exp \left(1+\left(4+e^x (-10+2 x)\right) \log \left(\frac{3 x}{2}\right)+\left(4+e^x (-20+4 x)+e^{2 x} \left(25-10 x+x^2\right)\right) \log ^2\left(\frac{3 x}{2}\right)\right) \left(4+e^x (-10+2 x)+\left(8+e^x \left(-40+2 x^2\right)+e^{2 x} \left(50-20 x+2 x^2\right)\right) \log \left(\frac{3 x}{2}\right)+\left(e^x \left(-16 x+4 x^2\right)+e^{2 x} \left(40 x-18 x^2+2 x^3\right)\right) \log ^2\left(\frac{3 x}{2}\right)\right)}{x} \, dx","Integrate[(E^(1 + (4 + E^x*(-10 + 2*x))*Log[(3*x)/2] + (4 + E^x*(-20 + 4*x) + E^(2*x)*(25 - 10*x + x^2))*Log[(3*x)/2]^2)*(4 + E^x*(-10 + 2*x) + (8 + E^x*(-40 + 2*x^2) + E^(2*x)*(50 - 20*x + 2*x^2))*Log[(3*x)/2] + (E^x*(-16*x + 4*x^2) + E^(2*x)*(40*x - 18*x^2 + 2*x^3))*Log[(3*x)/2]^2))/x,x]","\int \frac{\exp \left(1+\left(4+e^x (-10+2 x)\right) \log \left(\frac{3 x}{2}\right)+\left(4+e^x (-20+4 x)+e^{2 x} \left(25-10 x+x^2\right)\right) \log ^2\left(\frac{3 x}{2}\right)\right) \left(4+e^x (-10+2 x)+\left(8+e^x \left(-40+2 x^2\right)+e^{2 x} \left(50-20 x+2 x^2\right)\right) \log \left(\frac{3 x}{2}\right)+\left(e^x \left(-16 x+4 x^2\right)+e^{2 x} \left(40 x-18 x^2+2 x^3\right)\right) \log ^2\left(\frac{3 x}{2}\right)\right)}{x} \, dx","e^{\left(\left(e^x (5-x)-2\right) \log \left(\frac{3 x}{2}\right)-1\right)^2}+e^5",1,"Integrate[(E^(1 + (4 + E^x*(-10 + 2*x))*Log[(3*x)/2] + (4 + E^x*(-20 + 4*x) + E^(2*x)*(25 - 10*x + x^2))*Log[(3*x)/2]^2)*(4 + E^x*(-10 + 2*x) + (8 + E^x*(-40 + 2*x^2) + E^(2*x)*(50 - 20*x + 2*x^2))*Log[(3*x)/2] + (E^x*(-16*x + 4*x^2) + E^(2*x)*(40*x - 18*x^2 + 2*x^3))*Log[(3*x)/2]^2))/x, x]","F",-1
8058,1,29,24,0.386691,"\int \frac{-32-80 x+2 x^2-16 x \log (x)}{\left(1680 x+800 x^2+95 x^3+\left(656 x+320 x^2+39 x^3\right) \log (x)+\left(64 x+32 x^2+4 x^3\right) \log ^2(x)\right) \log \left(\frac{28224+12768 x+1444 x^2+\left(10752+5120 x+608 x^2\right) \log (x)+\left(1024+512 x+64 x^2\right) \log ^2(x)}{400+200 x+25 x^2+\left(160+80 x+10 x^2\right) \log (x)+\left(16+8 x+x^2\right) \log ^2(x)}\right)} \, dx","Integrate[(-32 - 80*x + 2*x^2 - 16*x*Log[x])/((1680*x + 800*x^2 + 95*x^3 + (656*x + 320*x^2 + 39*x^3)*Log[x] + (64*x + 32*x^2 + 4*x^3)*Log[x]^2)*Log[(28224 + 12768*x + 1444*x^2 + (10752 + 5120*x + 608*x^2)*Log[x] + (1024 + 512*x + 64*x^2)*Log[x]^2)/(400 + 200*x + 25*x^2 + (160 + 80*x + 10*x^2)*Log[x] + (16 + 8*x + x^2)*Log[x]^2)]),x]","\log \left(\log \left(\frac{4 (19 x+4 (x+4) \log (x)+84)^2}{(x+4)^2 (\log (x)+5)^2}\right)\right)","\log \left(\log \left(4 \left(4-\frac{x-4}{(x+4) (\log (x)+5)}\right)^2\right)\right)",1,"Log[Log[(4*(84 + 19*x + 4*(4 + x)*Log[x])^2)/((4 + x)^2*(5 + Log[x])^2)]]","A",1
8059,1,23,22,0.2354064,"\int \frac{1925 x-77 e^2 x^2+3850 x^3-77 x^4+e \left(1925 x^2-154 x^3\right)+\left(-154 e x-154 x^2\right) \log (x)-77 \log ^2(x)}{4 e^2 x^4+8 e x^5+4 x^6+\left(8 e x^3+8 x^4\right) \log (x)+4 x^2 \log ^2(x)} \, dx","Integrate[(1925*x - 77*E^2*x^2 + 3850*x^3 - 77*x^4 + E*(1925*x^2 - 154*x^3) + (-154*E*x - 154*x^2)*Log[x] - 77*Log[x]^2)/(4*E^2*x^4 + 8*E*x^5 + 4*x^6 + (8*E*x^3 + 8*x^4)*Log[x] + 4*x^2*Log[x]^2),x]","-\frac{77}{4} \left(\frac{25}{x^2+e x+\log (x)}-\frac{1}{x}\right)","\frac{77 \left(1-\frac{25 x}{x (x+e)+\log (x)}\right)}{4 x}",1,"(-77*(-x^(-1) + 25/(E*x + x^2 + Log[x])))/4","A",1
8060,1,33,35,0.0305641,"\int \frac{3 e^5 x-4 x^3+2 x^4+e^{2 x^2} \left(1-2 x^2\right)}{3 x^3} \, dx","Integrate[(3*E^5*x - 4*x^3 + 2*x^4 + E^(2*x^2)*(1 - 2*x^2))/(3*x^3),x]","\frac{1}{3} \left(x^2-\frac{e^{2 x^2}}{2 x^2}-4 x-\frac{3 e^5}{x}\right)","-\frac{\frac{e^{2 x^2}}{6 x}+e^5}{x}-\frac{1}{3} (4-x) x+9",1,"(-1/2*E^(2*x^2)/x^2 - (3*E^5)/x - 4*x + x^2)/3","A",1
8061,1,13,15,0.0037711,"\int \frac{8-12 x}{-x+2 x^2} \, dx","Integrate[(8 - 12*x)/(-x + 2*x^2),x]","2 \log (1-2 x)-8 \log (x)","\log \left(\frac{(1-2 x)^2}{e^3 x^8}\right)",1,"2*Log[1 - 2*x] - 8*Log[x]","A",1
8062,1,27,26,0.0228338,"\int \frac{e^4 \left(320-1664 x+1536 x^2+4032 x^3-6720 x^4+1248 x^5+912 x^6-1008 x^7-516 x^8-80 x^9-4 x^{10}\right)}{-32-80 x-160 x^2-120 x^3-50 x^4+119 x^5+95 x^6+75 x^7-60 x^8-25 x^9-31 x^{10}+25 x^{11}+5 x^{13}-5 x^{14}+x^{15}} \, dx","Integrate[(E^4*(320 - 1664*x + 1536*x^2 + 4032*x^3 - 6720*x^4 + 1248*x^5 + 912*x^6 - 1008*x^7 - 516*x^8 - 80*x^9 - 4*x^10))/(-32 - 80*x - 160*x^2 - 120*x^3 - 50*x^4 + 119*x^5 + 95*x^6 + 75*x^7 - 60*x^8 - 25*x^9 - 31*x^10 + 25*x^11 + 5*x^13 - 5*x^14 + x^15),x]","\frac{e^4 \left(x^2+4 x-2\right)^4}{\left(-x^3+x^2+x+2\right)^4}","\frac{e^4 \left(\frac{x (x+3)}{x-2}+1\right)^4}{\left(x^2+x+1\right)^4}",1,"(E^4*(-2 + 4*x + x^2)^4)/(2 + x + x^2 - x^3)^4","A",1
8063,1,33,24,0.041193,"\int \frac{1}{20} e^{4-x^2} \left(1+20 e^{-4+x^2}+50 x-2 x^2+10 x \log (4)\right) \, dx","Integrate[(E^(4 - x^2)*(1 + 20*E^(-4 + x^2) + 50*x - 2*x^2 + 10*x*Log[4]))/20,x]","\frac{1}{20} e^{4-x^2} x-\frac{1}{4} e^{4-x^2} (5+\log (4))+x","x-\frac{1}{4} e^{4-x^2} \left(-\frac{x}{5}+5+\log (4)\right)",1,"x + (E^(4 - x^2)*x)/20 - (E^(4 - x^2)*(5 + Log[4]))/4","A",1
8064,1,21,16,0.0173393,"\int \frac{-20 \log (x)+x \log ^2(x)+10 \log \left(x^2\right)}{2 x \log ^2(x)} \, dx","Integrate[(-20*Log[x] + x*Log[x]^2 + 10*Log[x^2])/(2*x*Log[x]^2),x]","\frac{x}{2}-\frac{5 \left(\log \left(x^2\right)-2 \log (x)\right)}{\log (x)}","\frac{1}{2} \left(x-\frac{10 \log \left(x^2\right)}{\log (x)}\right)",1,"x/2 - (5*(-2*Log[x] + Log[x^2]))/Log[x]","A",1
8065,1,16,19,0.1656864,"\int \frac{8-42 x+36 x^2+\left(-2+10 x-8 x^2\right) \log (-1+x)}{-16+16 x+(8-8 x) \log (-1+x)+(-1+x) \log ^2(-1+x)} \, dx","Integrate[(8 - 42*x + 36*x^2 + (-2 + 10*x - 8*x^2)*Log[-1 + x])/(-16 + 16*x + (8 - 8*x)*Log[-1 + x] + (-1 + x)*Log[-1 + x]^2),x]","\frac{2 (1-2 x) x}{\log (x-1)-4}","2 \left(\frac{(1-2 x) x}{\log (x-1)-4}+5\right)",1,"(2*(1 - 2*x)*x)/(-4 + Log[-1 + x])","A",1
8066,1,29,22,0.1565871,"\int \frac{x^6+5 x^5 \log (x)+10 x^4 \log ^2(x)+10 x^3 \log ^3(x)+5 x^2 \log ^4(x)+x \log ^5(x)+e^{e^{-1+e^{e^x}}} \left(-16-16 x+e^{-1+e^{e^x}+e^x} \left(4 e^x x^2+4 e^x x \log (x)\right)\right)}{x^6+5 x^5 \log (x)+10 x^4 \log ^2(x)+10 x^3 \log ^3(x)+5 x^2 \log ^4(x)+x \log ^5(x)} \, dx","Integrate[(x^6 + 5*x^5*Log[x] + 10*x^4*Log[x]^2 + 10*x^3*Log[x]^3 + 5*x^2*Log[x]^4 + x*Log[x]^5 + E^E^(-1 + E^E^x)*(-16 - 16*x + E^(-1 + E^E^x + E^x)*(4*E^x*x^2 + 4*E^x*x*Log[x])))/(x^6 + 5*x^5*Log[x] + 10*x^4*Log[x]^2 + 10*x^3*Log[x]^3 + 5*x^2*Log[x]^4 + x*Log[x]^5),x]","\frac{e x+\frac{4 e^{e^{e^{e^x}-1}+1}}{(x+\log (x))^4}}{e}","x+\frac{4 e^{e^{e^{e^x}-1}}}{(x+\log (x))^4}+1",1,"(E*x + (4*E^(1 + E^(-1 + E^E^x)))/(x + Log[x])^4)/E","A",1
8067,1,30,27,0.2367014,"\int \frac{e^{2 e^2-2 x} (4-12 x)+9 x^4+e^{e^2-x} \left(-12 x^2-9 x^4\right)}{4 e^{2 e^2-2 x}-12 e^{e^2-x} x^2+9 x^4} \, dx","Integrate[(E^(2*E^2 - 2*x)*(4 - 12*x) + 9*x^4 + E^(E^2 - x)*(-12*x^2 - 9*x^4))/(4*E^(2*E^2 - 2*x) - 12*E^(E^2 - x)*x^2 + 9*x^4),x]","\frac{3 e^{e^2} x^2}{3 e^x x^2-2 e^{e^2}}+x","-\frac{3}{\frac{2}{x^2}-3 e^{x-e^2}}+x+e^5+3",1,"x + (3*E^E^2*x^2)/(-2*E^E^2 + 3*E^x*x^2)","A",1
8068,1,43,33,0.2349015,"\int \frac{e^x \left(10 x^3-10 x^4+e^3 \left(-10 x^2+10 x^3\right)\right)+e^x \left(20 e^3 x^2-20 x^3\right) \log \left(e^3-x\right)+e^x \left(10 e^3 x-10 x^2\right) \log ^2\left(e^3-x\right)+\log \left(-9+5 e^x\right) \left(-54 x^3+e^3 \left(-36 x+54 x^2\right)+e^x \left(30 x^3+e^3 \left(20 x-30 x^2\right)\right)+\left(-36 x+72 e^3 x-72 x^2+e^x \left(20 x-40 e^3 x+40 x^2\right)\right) \log \left(e^3-x\right)+\left(18 e^3-18 x+e^x \left(-10 e^3+10 x\right)\right) \log ^2\left(e^3-x\right)\right)}{9 x^5-18 x^6+9 x^7+e^3 \left(-9 x^4+18 x^5-9 x^6\right)+e^x \left(-5 x^5+10 x^6-5 x^7+e^3 \left(5 x^4-10 x^5+5 x^6\right)\right)+\left(-36 x^5+36 x^6+e^3 \left(36 x^4-36 x^5\right)+e^x \left(20 x^5-20 x^6+e^3 \left(-20 x^4+20 x^5\right)\right)\right) \log \left(e^3-x\right)+\left(-18 x^4+54 x^5+e^3 \left(18 x^3-54 x^4\right)+e^x \left(10 x^4-30 x^5+e^3 \left(-10 x^3+30 x^4\right)\right)\right) \log ^2\left(e^3-x\right)+\left(-36 e^3 x^3+36 x^4+e^x \left(20 e^3 x^3-20 x^4\right)\right) \log ^3\left(e^3-x\right)+\left(-9 e^3 x^2+9 x^3+e^x \left(5 e^3 x^2-5 x^3\right)\right) \log ^4\left(e^3-x\right)} \, dx","Integrate[(E^x*(10*x^3 - 10*x^4 + E^3*(-10*x^2 + 10*x^3)) + E^x*(20*E^3*x^2 - 20*x^3)*Log[E^3 - x] + E^x*(10*E^3*x - 10*x^2)*Log[E^3 - x]^2 + Log[-9 + 5*E^x]*(-54*x^3 + E^3*(-36*x + 54*x^2) + E^x*(30*x^3 + E^3*(20*x - 30*x^2)) + (-36*x + 72*E^3*x - 72*x^2 + E^x*(20*x - 40*E^3*x + 40*x^2))*Log[E^3 - x] + (18*E^3 - 18*x + E^x*(-10*E^3 + 10*x))*Log[E^3 - x]^2))/(9*x^5 - 18*x^6 + 9*x^7 + E^3*(-9*x^4 + 18*x^5 - 9*x^6) + E^x*(-5*x^5 + 10*x^6 - 5*x^7 + E^3*(5*x^4 - 10*x^5 + 5*x^6)) + (-36*x^5 + 36*x^6 + E^3*(36*x^4 - 36*x^5) + E^x*(20*x^5 - 20*x^6 + E^3*(-20*x^4 + 20*x^5)))*Log[E^3 - x] + (-18*x^4 + 54*x^5 + E^3*(18*x^3 - 54*x^4) + E^x*(10*x^4 - 30*x^5 + E^3*(-10*x^3 + 30*x^4)))*Log[E^3 - x]^2 + (-36*E^3*x^3 + 36*x^4 + E^x*(20*E^3*x^3 - 20*x^4))*Log[E^3 - x]^3 + (-9*E^3*x^2 + 9*x^3 + E^x*(5*E^3*x^2 - 5*x^3))*Log[E^3 - x]^4),x]","\frac{2 \log \left(5 e^x-9\right)}{x \left(x^2-x+\log ^2\left(e^3-x\right)+2 x \log \left(e^3-x\right)\right)}","\frac{2 \log \left(5 \left(e^x-2\right)+1\right)}{x \left(\left(x+\log \left(e^3-x\right)\right)^2-x\right)}",1,"(2*Log[-9 + 5*E^x])/(x*(-x + x^2 + 2*x*Log[E^3 - x] + Log[E^3 - x]^2))","A",1
8069,1,60,25,0.0704028,"\int \frac{-128+144 x-28 x^2+10 x^3+2 x^4+\left(16 x-4 x^2+2 x^3\right) \log (3)+\left(-16 x+4 x^2-2 x^3\right) \log \left(2 x^2\right)}{x^3} \, dx","Integrate[(-128 + 144*x - 28*x^2 + 10*x^3 + 2*x^4 + (16*x - 4*x^2 + 2*x^3)*Log[3] + (-16*x + 4*x^2 - 2*x^3)*Log[2*x^2])/x^3,x]","x^2+\frac{64}{x^2}-2 x \log \left(2 x^2\right)+\left(\log \left(\frac{2 x^2}{3}\right)-7\right)^2+\frac{16 \left(\log \left(\frac{2 x^2}{3}\right)-9\right)}{x}+4 x+\frac{32}{x}+2 x (5+\log (3))","\left(-\log \left(2 x^2\right)-\frac{2 (4-x)}{x}+x+5+\log (3)\right)^2",1,"64/x^2 + 32/x + 4*x + x^2 + 2*x*(5 + Log[3]) + (16*(-9 + Log[(2*x^2)/3]))/x + (-7 + Log[(2*x^2)/3])^2 - 2*x*Log[2*x^2]","B",1
8070,1,42,27,0.0311008,"\int \frac{-96 x+3021 x^2-15042 x^3-1911 x^4-60 x^5+\left(-1536 x+11328 x^2+1434 x^3+45 x^4\right) \log (4)}{256+32 x+x^2} \, dx","Integrate[(-96*x + 3021*x^2 - 15042*x^3 - 1911*x^4 - 60*x^5 + (-1536*x + 11328*x^2 + 1434*x^3 + 45*x^4)*Log[4])/(256 + 32*x + x^2),x]","-3 \left(5 x^4-x^3 (1+5 \log (4))+x^2 (\log (4)-5)+81 x+\frac{20736}{x+16}-329200-20736 \log (4)\right)","3 \left(5 x^2-x\right) \left(\frac{x}{x+16}+x (\log (4)-x)\right)",1,"-3*(-329200 + 81*x + 5*x^4 + 20736/(16 + x) + x^2*(-5 + Log[4]) - 20736*Log[4] - x^3*(1 + 5*Log[4]))","A",1
8071,1,80,34,0.6151336,"\int \frac{-6 x^3-2 x^4-36 x^6-30 x^7-6 x^8+(-18-6 x) \log ^2(2)+e^{2 x} \left(-2 x^3-4 x^6-2 x^7+(-2+2 x) \log ^2(2)\right)+e^x \left(8 x^3+2 x^4+24 x^6+16 x^7+2 x^8+\left(12-4 x-2 x^2\right) \log ^2(2)\right)}{x^3} \, dx","Integrate[(-6*x^3 - 2*x^4 - 36*x^6 - 30*x^7 - 6*x^8 + (-18 - 6*x)*Log[2]^2 + E^(2*x)*(-2*x^3 - 4*x^6 - 2*x^7 + (-2 + 2*x)*Log[2]^2) + E^x*(8*x^3 + 2*x^4 + 24*x^6 + 16*x^7 + 2*x^8 + (12 - 4*x - 2*x^2)*Log[2]^2))/x^3,x]","-\frac{x^8+6 x^7+9 x^6+x^4+6 x^3+e^{2 x} \left(x^6+x^2-\log ^2(2)\right)-2 e^x (x+3) \left(x^6+x^2-\log ^2(2)\right)-6 x \log ^2(2)-9 \log ^2(2)}{x^2}","\left(\frac{x+3}{x}-\frac{e^x}{x}\right)^2 \left(-x^6-x^2+\log ^2(2)\right)",1,"-((6*x^3 + x^4 + 9*x^6 + 6*x^7 + x^8 - 9*Log[2]^2 - 6*x*Log[2]^2 + E^(2*x)*(x^2 + x^6 - Log[2]^2) - 2*E^x*(3 + x)*(x^2 + x^6 - Log[2]^2))/x^2)","B",1
8072,1,11,12,0.0028888,"\int \frac{2+20 x}{45+2 x+10 x^2} \, dx","Integrate[(2 + 20*x)/(45 + 2*x + 10*x^2),x]","\log \left(10 x^2+2 x+45\right)","\log \left(x \left(2 x+\frac{2}{5}\right)+9\right)",1,"Log[45 + 2*x + 10*x^2]","A",1
8073,1,42,34,0.2643801,"\int \frac{1}{3} \left(-72+18 x+90 x^2+36 x^3+e^{\frac{1}{3} \left(e^x+6 x\right)} \left(51-24 x-18 x^2+e^x \left(9-x-3 x^2\right)\right)\right) \, dx","Integrate[(-72 + 18*x + 90*x^2 + 36*x^3 + E^((E^x + 6*x)/3)*(51 - 24*x - 18*x^2 + E^x*(9 - x - 3*x^2)))/3,x]","3 x^4+10 x^3+3 x^2-e^{2 x+\frac{e^x}{3}} \left(3 x^2+x-9\right)-24 x","\left(x (x+3)-e^{2 x+\frac{e^x}{3}}+3\right) \left(3 \left(x^2-3\right)+x\right)+3",1,"-24*x + 3*x^2 + 10*x^3 + 3*x^4 - E^(E^x/3 + 2*x)*(-9 + x + 3*x^2)","A",1
8074,1,23,24,0.9079329,"\int \frac{e^{e^x+\frac{e^{e^x} \left(2-2 x^2\right)}{x \log (2)}} \left(2+2 x^2+e^x \left(-2 x+2 x^3\right)\right)}{x^2 \log (2)} \, dx","Integrate[(E^(E^x + (E^E^x*(2 - 2*x^2))/(x*Log[2]))*(2 + 2*x^2 + E^x*(-2*x + 2*x^3)))/(x^2*Log[2]),x]","-e^{-\frac{2 e^{e^x} \left(x^2-1\right)}{x \log (2)}}","3-e^{\frac{e^{e^x} \left(\frac{2}{x^2}-2\right) x}{\log (2)}}",1,"-E^((-2*E^E^x*(-1 + x^2))/(x*Log[2]))","A",1
8075,1,25,26,0.204535,"\int \frac{-8+e^5 (8-2 x)+2 x+x^3+e^{2 e^x} \left(2-2 e^5+2 e^x x^3\right)}{-4 x^3+e^{2 e^x} x^3+x^4} \, dx","Integrate[(-8 + E^5*(8 - 2*x) + 2*x + x^3 + E^(2*E^x)*(2 - 2*E^5 + 2*E^x*x^3))/(-4*x^3 + E^(2*E^x)*x^3 + x^4),x]","\frac{e^5-1}{x^2}+\log \left(-x-e^{2 e^x}+4\right)","\frac{e^5-1}{x^2}+\log \left(-x-e^{2 e^x}+4\right)-4",1,"(-1 + E^5)/x^2 + Log[4 - E^(2*E^x) - x]","A",1
8076,1,31,34,0.131825,"\int \frac{(-100 x+20 x \log (2)) \log (x)+(-200 x+40 x \log (2)) \log ^2(x)+e^{\frac{3+4 \log (x)}{12 \log (x)}} \left(-25 x-100 x \log (x)-200 x \log ^2(x)\right)}{100 e^{\frac{3+4 \log (x)}{6 \log (x)}} \log (x)+e^{\frac{3+4 \log (x)}{12 \log (x)}} (200-40 \log (2)) \log (x)+\left(100-40 \log (2)+4 \log ^2(2)\right) \log (x)} \, dx","Integrate[((-100*x + 20*x*Log[2])*Log[x] + (-200*x + 40*x*Log[2])*Log[x]^2 + E^((3 + 4*Log[x])/(12*Log[x]))*(-25*x - 100*x*Log[x] - 200*x*Log[x]^2))/(100*E^((3 + 4*Log[x])/(6*Log[x]))*Log[x] + E^((3 + 4*Log[x])/(12*Log[x]))*(200 - 40*Log[2])*Log[x] + (100 - 40*Log[2] + 4*Log[2]^2)*Log[x]),x]","-\frac{5 x^2 \log (x)}{5 e^{\frac{1}{4 \log (x)}+\frac{1}{3}}+5-\log (2)}","\frac{x^2 \log (x)}{-e^{\frac{\log (x)+\frac{3}{4}}{3 \log (x)}}-1+\frac{\log (2)}{5}}",1,"(-5*x^2*Log[x])/(5 + 5*E^(1/3 + 1/(4*Log[x])) - Log[2])","A",1
8077,1,15,16,0.0073915,"\int \frac{-5+x^3+e^x x^3+2 x^4}{x^3} \, dx","Integrate[(-5 + x^3 + E^x*x^3 + 2*x^4)/x^3,x]","x^2+\frac{5}{2 x^2}+x+e^x","x^2+\frac{5}{2 x^2}+x+e^x+2",1,"E^x + 5/(2*x^2) + x + x^2","A",1
8078,1,25,22,0.5403186,"\int \frac{15-10 x+5 \log (2)-40 x \log (x)+30 x \log (x) \log (\log (x))-5 x \log (x) \log ^2(\log (x))}{\left(\left(-6 x+8 x^2-2 x \log (2)\right) \log (x)+\left(3 x-6 x^2+x \log (2)\right) \log (x) \log (\log (x))+x^2 \log (x) \log ^2(\log (x))\right) \log ^2\left(\frac{3-4 x+\log (2)+x \log (\log (x))}{-2+\log (\log (x))}\right)} \, dx","Integrate[(15 - 10*x + 5*Log[2] - 40*x*Log[x] + 30*x*Log[x]*Log[Log[x]] - 5*x*Log[x]*Log[Log[x]]^2)/(((-6*x + 8*x^2 - 2*x*Log[2])*Log[x] + (3*x - 6*x^2 + x*Log[2])*Log[x]*Log[Log[x]] + x^2*Log[x]*Log[Log[x]]^2)*Log[(3 - 4*x + Log[2] + x*Log[Log[x]])/(-2 + Log[Log[x]])]^2),x]","\frac{5}{\log \left(\frac{-4 x+x \log (\log (x))+3+\log (2)}{\log (\log (x))-2}\right)}","\frac{5}{\log \left(x+\frac{-2 x+3+\log (2)}{\log (\log (x))-2}\right)}",1,"5/Log[(3 - 4*x + Log[2] + x*Log[Log[x]])/(-2 + Log[Log[x]])]","A",1
8079,1,40,32,0.0059993,"\int \frac{1}{80} \left(5 x^4-12 x^5+7 x^6+e^5 \left(-16 x+48 x^2-32 x^3\right)\right) \, dx","Integrate[(5*x^4 - 12*x^5 + 7*x^6 + E^5*(-16*x + 48*x^2 - 32*x^3))/80,x]","\frac{1}{80} \left(x^7-2 x^6+x^5-8 e^5 x^4+16 e^5 x^3-8 e^5 x^2\right)","\frac{1}{5} \left(\frac{1}{4} \left(\frac{x^3}{4}-2 e^5\right) \left(x-x^2\right)^2+3\right)",1,"(-8*E^5*x^2 + 16*E^5*x^3 - 8*E^5*x^4 + x^5 - 2*x^6 + x^7)/80","A",1
8080,1,18,18,0.5351144,"\int \frac{e^{-\frac{6 x}{e^x-x^2}} \left(e^{2 x}-6 x^3+x^4+e^x \left(-6 x+4 x^2\right)\right)}{e^{2 x}-2 e^x x^2+x^4} \, dx","Integrate[(E^(2*x) - 6*x^3 + x^4 + E^x*(-6*x + 4*x^2))/(E^((6*x)/(E^x - x^2))*(E^(2*x) - 2*E^x*x^2 + x^4)),x]","e^{-\frac{6 x}{e^x-x^2}} x","e^{\frac{6}{x-\frac{e^x}{x}}} x",1,"x/E^((6*x)/(E^x - x^2))","A",1
8081,1,16,20,0.0965296,"\int \frac{450 x^2-675 x^2 \log (x) \log (\log (x))+12 \log (4) \log (x) \log ^3(\log (x))}{\log (x) \log ^3(\log (x))} \, dx","Integrate[(450*x^2 - 675*x^2*Log[x]*Log[Log[x]] + 12*Log[4]*Log[x]*Log[Log[x]]^3)/(Log[x]*Log[Log[x]]^3),x]","12 x \log (4)-\frac{225 x^3}{\log ^2(\log (x))}","1-x \left(\frac{225 x^2}{\log ^2(\log (x))}-12 \log (4)\right)",1,"12*x*Log[4] - (225*x^3)/Log[Log[x]]^2","A",1
8082,1,20,21,0.0448295,"\int e^{-4-e^x (-1+x)-x} \left(4 x-2 x^2-2 e^x x^3\right) \, dx","Integrate[E^(-4 - E^x*(-1 + x) - x)*(4*x - 2*x^2 - 2*E^x*x^3),x]","2 e^{-e^x (x-1)-x-4} x^2","2 e^{-e^x x-x+e^x-4} x^2",1,"2*E^(-4 - E^x*(-1 + x) - x)*x^2","A",1
8083,1,19,21,0.0391701,"\int \frac{96+96 e^x}{16+e^{16}+16 e^{2 x}+e^8 (8-8 x)-32 x+16 x^2+e^x \left(-32-8 e^8+32 x-32 \log (4)\right)+\left(32+8 e^8-32 x\right) \log (4)+16 \log ^2(4)} \, dx","Integrate[(96 + 96*E^x)/(16 + E^16 + 16*E^(2*x) + E^8*(8 - 8*x) - 32*x + 16*x^2 + E^x*(-32 - 8*E^8 + 32*x - 32*Log[4]) + (32 + 8*E^8 - 32*x)*Log[4] + 16*Log[4]^2),x]","\frac{24}{-4 x-4 e^x+e^8+4+\log (256)}","-\frac{6}{x+e^x-\frac{e^8}{4}-1-\log (4)}",1,"24/(4 + E^8 - 4*E^x - 4*x + Log[256])","A",1
8084,1,23,23,0.1198189,"\int \frac{2+2 x \log (x)-11 x \log ^2(x)}{-2 x \log (x)+\left(11 x+e^x x\right) \log ^2(x)} \, dx","Integrate[(2 + 2*x*Log[x] - 11*x*Log[x]^2)/(-2*x*Log[x] + (11*x + E^x*x)*Log[x]^2),x]","-x-\log (\log (x))+\log \left(-e^x \log (x)-11 \log (x)+2\right)","-x+\log \left(\frac{1}{4} \left(e^x-\frac{2}{\log (x)}+3\right)+2\right)+22",1,"-x - Log[Log[x]] + Log[2 - 11*Log[x] - E^x*Log[x]]","A",1
8085,1,22,24,0.0530138,"\int \frac{2-26 x^2+22 x^3-3 x^4+x^2 \log (x)+\left(-2-27 x^2+11 x^3-x^4+x^2 \log (x)\right) \log \left(\frac{-2-27 x^2+11 x^3-x^4+x^2 \log (x)}{x^2}\right)}{-2-27 x^2+11 x^3-x^4+x^2 \log (x)} \, dx","Integrate[(2 - 26*x^2 + 22*x^3 - 3*x^4 + x^2*Log[x] + (-2 - 27*x^2 + 11*x^3 - x^4 + x^2*Log[x])*Log[(-2 - 27*x^2 + 11*x^3 - x^4 + x^2*Log[x])/x^2])/(-2 - 27*x^2 + 11*x^3 - x^4 + x^2*Log[x]),x]","x \log \left(-x^2-\frac{2}{x^2}+11 x+\log (x)-27\right)+x","x \log \left(-\frac{2}{x^2}-(5-x)^2+x+\log (x)-2\right)+x",1,"x + x*Log[-27 - 2/x^2 + 11*x - x^2 + Log[x]]","A",1
8086,1,23,21,0.0676353,"\int \frac{-1+e^3 x+\left(1-2 e^3 x\right) \log (x)+\left(-1+2 e^3 x\right) \log ^2(x)}{2 e^3 \log ^2(x)} \, dx","Integrate[(-1 + E^3*x + (1 - 2*E^3*x)*Log[x] + (-1 + 2*E^3*x)*Log[x]^2)/(2*E^3*Log[x]^2),x]","\frac{x \left(e^3 x-1\right) (\log (x)-1)}{2 e^3 \log (x)}","\frac{1}{2} \left(\frac{1}{e^3}-x\right) \left(\frac{x}{\log (x)}-x\right)",1,"(x*(-1 + E^3*x)*(-1 + Log[x]))/(2*E^3*Log[x])","A",1
8087,1,17,15,0.0220096,"\int \frac{-2+x^2+e^{e^x} \left(1-e^x x\right)}{x^2} \, dx","Integrate[(-2 + x^2 + E^E^x*(1 - E^x*x))/x^2,x]","x-\frac{e^{e^x}}{x}+\frac{2}{x}","x-\frac{x+e^{e^x}-2}{x}",1,"2/x - E^E^x/x + x","A",1
8088,1,18,20,0.1202857,"\int \frac{1-6 x}{x \log \left(e^{\frac{3-6 e^{15/2} x}{e^{15/2}}} x\right) \log \left(\log \left(e^{\frac{3-6 e^{15/2} x}{e^{15/2}}} x\right)\right)} \, dx","Integrate[(1 - 6*x)/(x*Log[E^((3 - 6*E^(15/2)*x)/E^(15/2))*x]*Log[Log[E^((3 - 6*E^(15/2)*x)/E^(15/2))*x]]),x]","\log \left(\log \left(\log \left(e^{\frac{3}{e^{15/2}}-6 x} x\right)\right)\right)","\log \left(\log \left(\log \left(e^{3 \left(\frac{1}{e^{15/2}}-2 x\right)} x\right)\right)\right)+5",1,"Log[Log[Log[E^(3/E^(15/2) - 6*x)*x]]]","A",1
8089,1,31,30,0.3340453,"\int \frac{\left(-4-4 x+2 e^x x^2\right) \log \left(\frac{e^x x}{2+e^x \left(x+x^2\right)}\right)}{90 e^4 x+e^{4+x} \left(45 x^2+45 x^3\right)+\left(60 e^4 x+e^{4+x} \left(30 x^2+30 x^3\right)\right) \log ^2\left(\frac{e^x x}{2+e^x \left(x+x^2\right)}\right)+\left(10 e^4 x+e^{4+x} \left(5 x^2+5 x^3\right)\right) \log ^4\left(\frac{e^x x}{2+e^x \left(x+x^2\right)}\right)} \, dx","Integrate[((-4 - 4*x + 2*E^x*x^2)*Log[(E^x*x)/(2 + E^x*(x + x^2))])/(90*E^4*x + E^(4 + x)*(45*x^2 + 45*x^3) + (60*E^4*x + E^(4 + x)*(30*x^2 + 30*x^3))*Log[(E^x*x)/(2 + E^x*(x + x^2))]^2 + (10*E^4*x + E^(4 + x)*(5*x^2 + 5*x^3))*Log[(E^x*x)/(2 + E^x*(x + x^2))]^4),x]","\frac{1}{5 e^4 \left(\log ^2\left(\frac{e^x x}{e^x x (x+1)+2}\right)+3\right)}","\frac{1}{5 e^4 \left(\log ^2\left(\frac{x}{x^2+x+2 e^{-x}}\right)+3\right)}",1,"1/(5*E^4*(3 + Log[(E^x*x)/(2 + E^x*x*(1 + x))]^2))","A",1
8090,1,31,32,0.3605936,"\int \frac{e^e (10-2 x)+2 e^e \log (x)+\left(5-x^2+x \log (x)\right) \log ^2\left(\frac{x^2}{9}\right)}{\left(15 x-3 x^2+3 x \log (x)\right) \log ^2\left(\frac{x^2}{9}\right)} \, dx","Integrate[(E^E*(10 - 2*x) + 2*E^E*Log[x] + (5 - x^2 + x*Log[x])*Log[x^2/9]^2)/((15*x - 3*x^2 + 3*x*Log[x])*Log[x^2/9]^2),x]","\frac{1}{3} \left(-\frac{e^e}{\log \left(\frac{x^2}{9}\right)}+x+5 \log (-x+\log (x)+5)\right)","\frac{1}{3} \left(-\frac{e^e}{\log \left(\frac{x^2}{9}\right)}+x+5 \log (-x+\log (x)+5)+2\right)",1,"(x - E^E/Log[x^2/9] + 5*Log[5 - x + Log[x]])/3","A",1
8091,1,13,13,0.0260585,"\int -\frac{5 e^{3+e^x+x}}{25+10 e^{3+e^x}+e^{6+2 e^x}} \, dx","Integrate[(-5*E^(3 + E^x + x))/(25 + 10*E^(3 + E^x) + E^(6 + 2*E^x)),x]","\frac{5}{e^{e^x+3}+5}","\frac{5}{e^{e^x+3}+5}",1,"5/(5 + E^(3 + E^x))","A",1
8092,1,31,25,0.0503793,"\int \frac{-305156281250-73279658750 x-7328903800 x^2-390814950 x^3-11721300 x^4-187500 x^5-1250 x^6+\left(-1464781300-234497450 x-14070000 x^2-375100 x^3-3750 x^4\right) \log (x)+\left(-2343700-187600 x-3750 x^2\right) \log ^2(x)-1250 \log ^3(x)}{3813964890624 x^3+916142488128 x^4+91662930072 x^5+4889659851 x^6+146670075 x^7+2345625 x^8+15625 x^9+\left(18308203200 x^3+2931843600 x^4+175965075 x^5+4691250 x^6+46875 x^7\right) \log (x)+\left(29295000 x^3+2345625 x^4+46875 x^5\right) \log ^2(x)+15625 x^3 \log ^3(x)} \, dx","Integrate[(-305156281250 - 73279658750*x - 7328903800*x^2 - 390814950*x^3 - 11721300*x^4 - 187500*x^5 - 1250*x^6 + (-1464781300 - 234497450*x - 14070000*x^2 - 375100*x^3 - 3750*x^4)*Log[x] + (-2343700 - 187600*x - 3750*x^2)*Log[x]^2 - 1250*Log[x]^3)/(3813964890624*x^3 + 916142488128*x^4 + 91662930072*x^5 + 4889659851*x^6 + 146670075*x^7 + 2345625*x^8 + 15625*x^9 + (18308203200*x^3 + 2931843600*x^4 + 175965075*x^5 + 4691250*x^6 + 46875*x^7)*Log[x] + (29295000*x^3 + 2345625*x^4 + 46875*x^5)*Log[x]^2 + 15625*x^3*Log[x]^3),x]","\frac{25 \left((x+25)^2+\log (x)\right)^2}{x^2 \left(25 x^2+1251 x+25 \log (x)+15624\right)^2}","\frac{1}{x^2 \left(\frac{x-1}{5 \left((x+25)^2+\log (x)\right)}+5\right)^2}",1,"(25*((25 + x)^2 + Log[x])^2)/(x^2*(15624 + 1251*x + 25*x^2 + 25*Log[x])^2)","A",1
8093,1,19,23,0.0108476,"\int \left(8-e^x+e^{2 e^x} \left(-16-32 e^x x\right)\right) \, dx","Integrate[8 - E^x + E^(2*E^x)*(-16 - 32*E^x*x),x]","-16 e^{2 e^x} x+8 x-e^x","4 \left(\left(2-4 e^{2 e^x}\right) x+3\right)-e^x",1,"-E^x + 8*x - 16*E^(2*E^x)*x","A",1
8094,1,30,28,0.0284319,"\int \frac{e^5+\left(-12 e^5-3 x\right) \log (4)+3 \log (4) \log (x)+((3-6 x) \log (4)+3 \log (4) \log (x)) \log (2 x)}{e^5} \, dx","Integrate[(E^5 + (-12*E^5 - 3*x)*Log[4] + 3*Log[4]*Log[x] + ((3 - 6*x)*Log[4] + 3*Log[4]*Log[x])*Log[2*x])/E^5,x]","\frac{x \left(3 \log (4) (\log (x)-x) \log (2 x)+e^5 (1-12 \log (4))\right)}{e^5}","x-x \log (4) \left(3 \left(3-\frac{(\log (x)-x) \log (2 x)}{e^5}\right)+3\right)",1,"(x*(E^5*(1 - 12*Log[4]) + 3*Log[4]*(-x + Log[x])*Log[2*x]))/E^5","A",1
8095,1,27,25,0.0323066,"\int \frac{3 x^2+8 x^3-1280 x^6-32 x^4 \log (5)+3 x^2 \log ^2(5)}{1+24 x+192 x^2+512 x^3+768 x^4+12288 x^5+49152 x^6+196608 x^8+1572864 x^9+16777216 x^{12}+\left(96 x^2+1536 x^3+6144 x^4+49152 x^6+393216 x^7+6291456 x^{10}\right) \log (5)+\left(3+48 x+192 x^2+4608 x^4+36864 x^5+983040 x^8\right) \log ^2(5)+\left(192 x^2+1536 x^3+81920 x^6\right) \log ^3(5)+\left(3+24 x+3840 x^4\right) \log ^4(5)+96 x^2 \log ^5(5)+\log ^6(5)} \, dx","Integrate[(3*x^2 + 8*x^3 - 1280*x^6 - 32*x^4*Log[5] + 3*x^2*Log[5]^2)/(1 + 24*x + 192*x^2 + 512*x^3 + 768*x^4 + 12288*x^5 + 49152*x^6 + 196608*x^8 + 1572864*x^9 + 16777216*x^12 + (96*x^2 + 1536*x^3 + 6144*x^4 + 49152*x^6 + 393216*x^7 + 6291456*x^10)*Log[5] + (3 + 48*x + 192*x^2 + 4608*x^4 + 36864*x^5 + 983040*x^8)*Log[5]^2 + (192*x^2 + 1536*x^3 + 81920*x^6)*Log[5]^3 + (3 + 24*x + 3840*x^4)*Log[5]^4 + 96*x^2*Log[5]^5 + Log[5]^6),x]","\frac{x^3}{\left(256 x^4+32 x^2 \log (5)+8 x+1+\log ^2(5)\right)^2}","\frac{x}{\left(\frac{\left(16 x^2+\log (5)\right)^2+4 x+1}{x}+4\right)^2}",1,"x^3/(1 + 8*x + 256*x^4 + 32*x^2*Log[5] + Log[5]^2)^2","A",1
8096,1,18,18,0.1288275,"\int \frac{16 \log (x)+(-2+2 \log (x)) \log \left(4 x^2\right) \log \left(\log ^2\left(4 x^2\right)\right)}{x^2 \log \left(4 x^2\right) \log ^3\left(\log ^2\left(4 x^2\right)\right)} \, dx","Integrate[(16*Log[x] + (-2 + 2*Log[x])*Log[4*x^2]*Log[Log[4*x^2]^2])/(x^2*Log[4*x^2]*Log[Log[4*x^2]^2]^3),x]","-\frac{2 \log (x)}{x \log ^2\left(\log ^2\left(4 x^2\right)\right)}","-\frac{2 \log (x)}{x \log ^2\left(\log ^2\left(4 x^2\right)\right)}",1,"(-2*Log[x])/(x*Log[Log[4*x^2]^2]^2)","A",1
8097,1,114,30,0.3708084,"\int \frac{-1344-60 e^8 x^2+e^4 \left(-480 x+96 x^2\right)+e^x \left(576+144 x-96 x^2+e^4 \left(240 x+72 x^2-24 x^3\right)+e^8 \left(30 x^2+15 x^3\right)\right)}{25 e^{11} x^2+e^7 \left(200 x-80 x^2\right)+e^3 \left(400-320 x+64 x^2\right)} \, dx","Integrate[(-1344 - 60*E^8*x^2 + E^4*(-480*x + 96*x^2) + E^x*(576 + 144*x - 96*x^2 + E^4*(240*x + 72*x^2 - 24*x^3) + E^8*(30*x^2 + 15*x^3)))/(25*E^11*x^2 + E^7*(200*x - 80*x^2) + E^3*(400 - 320*x + 64*x^2)),x]","\frac{3 \left(-100 e^{12} x^2+64 e^{x+4} \left(x^2-4 x-5\right)-128 e^4 \left(2 x^2-5 x-5\right)-20 e^{x+8} \left(4 x^2-x-5\right)+25 e^{x+12} (x+1) x+80 e^8 (4 x-5) x+256 e^x (x+1)-3584\right)}{e^3 \left(8-5 e^4\right)^2 \left(\left(5 e^4-8\right) x+20\right)}","\frac{3 \left(e^x-4\right) (x+1)}{e^3 \left(5-\frac{8}{\frac{4}{x}+e^4}\right)}",1,"(3*(-3584 - 100*E^12*x^2 + 256*E^x*(1 + x) + 25*E^(12 + x)*x*(1 + x) + 80*E^8*x*(-5 + 4*x) + 64*E^(4 + x)*(-5 - 4*x + x^2) - 128*E^4*(-5 - 5*x + 2*x^2) - 20*E^(8 + x)*(-5 - x + 4*x^2)))/(E^3*(8 - 5*E^4)^2*(20 + (-8 + 5*E^4)*x))","B",1
8098,0,0,26,9.4881335,"\int \frac{4+5 e^{12+2 x^2-4 e^3 x^2+2 e^6 x^2}+5 x^2+e^{6+x^2-2 e^3 x^2+e^6 x^2} \left(18 x-16 e^3 x+8 e^6 x\right)}{5 e^{12+2 x^2-4 e^3 x^2+2 e^6 x^2}+10 e^{6+x^2-2 e^3 x^2+e^6 x^2} x+5 x^2} \, dx","Integrate[(4 + 5*E^(12 + 2*x^2 - 4*E^3*x^2 + 2*E^6*x^2) + 5*x^2 + E^(6 + x^2 - 2*E^3*x^2 + E^6*x^2)*(18*x - 16*E^3*x + 8*E^6*x))/(5*E^(12 + 2*x^2 - 4*E^3*x^2 + 2*E^6*x^2) + 10*E^(6 + x^2 - 2*E^3*x^2 + E^6*x^2)*x + 5*x^2),x]","\int \frac{4+5 e^{12+2 x^2-4 e^3 x^2+2 e^6 x^2}+5 x^2+e^{6+x^2-2 e^3 x^2+e^6 x^2} \left(18 x-16 e^3 x+8 e^6 x\right)}{5 e^{12+2 x^2-4 e^3 x^2+2 e^6 x^2}+10 e^{6+x^2-2 e^3 x^2+e^6 x^2} x+5 x^2} \, dx","x-\frac{4}{5 \left(x+e^{\left(x-e^3 x\right)^2+6}\right)}+e+8",1,"Integrate[(4 + 5*E^(12 + 2*x^2 - 4*E^3*x^2 + 2*E^6*x^2) + 5*x^2 + E^(6 + x^2 - 2*E^3*x^2 + E^6*x^2)*(18*x - 16*E^3*x + 8*E^6*x))/(5*E^(12 + 2*x^2 - 4*E^3*x^2 + 2*E^6*x^2) + 10*E^(6 + x^2 - 2*E^3*x^2 + E^6*x^2)*x + 5*x^2), x]","F",-1
8099,1,29,28,1.8263802,"\int \frac{3 x+\frac{e^{-e^x+e^{x-x^2}-5 x} \left(-3-15 x-3 e^x x+e^{x-x^2} \left(3 x-6 x^2\right)\right)}{x}}{x} \, dx","Integrate[(3*x + (E^(-E^x + E^(x - x^2) - 5*x)*(-3 - 15*x - 3*E^x*x + E^(x - x^2)*(3*x - 6*x^2)))/x)/x,x]","\frac{3 e^{e^{x-x^2}-5 x-e^x}}{x}+3 x","3 \left(\frac{e^{e^{x-x^2}-5 x-e^x}}{x}+x\right)",1,"(3*E^(-E^x + E^(x - x^2) - 5*x))/x + 3*x","A",1
8100,1,26,28,0.2281061,"\int \frac{\exp \left(\frac{1}{4} \left(4 x+\left(e^{4+4 x} x-x^2\right) \log (\log (x+\log (x)))\right)\right) \left(-x-x^2+e^{4+4 x} (1+x)+(4 x+4 \log (x)) \log (x+\log (x))+\left(-2 x^2+e^{4+4 x} \left(x+4 x^2\right)+\left(-2 x+e^{4+4 x} (1+4 x)\right) \log (x)\right) \log (x+\log (x)) \log (\log (x+\log (x)))\right)}{(4 x+4 \log (x)) \log (x+\log (x))} \, dx","Integrate[(E^((4*x + (E^(4 + 4*x)*x - x^2)*Log[Log[x + Log[x]]])/4)*(-x - x^2 + E^(4 + 4*x)*(1 + x) + (4*x + 4*Log[x])*Log[x + Log[x]] + (-2*x^2 + E^(4 + 4*x)*(x + 4*x^2) + (-2*x + E^(4 + 4*x)*(1 + 4*x))*Log[x])*Log[x + Log[x]]*Log[Log[x + Log[x]]]))/((4*x + 4*Log[x])*Log[x + Log[x]]),x]","e^x \log ^{\frac{1}{4} \left(e^{4 x+4}-x\right) x}(x+\log (x))","\exp \left(\frac{1}{4} x \left(4-\left(x-e^{4 x+4}\right) \log (\log (x+\log (x)))\right)\right)",1,"E^x*Log[x + Log[x]]^(((E^(4 + 4*x) - x)*x)/4)","A",1
8101,1,32,28,0.1355817,"\int \frac{e^{-x^4} \left(8 e^{e^{\frac{2 e^{-x^4}}{\log (5)}}+\frac{2 e^{-x^4}}{\log (5)}} x^3-e^{x^4} \log (5)\right)}{2 \log (5)} \, dx","Integrate[(8*E^(E^(2/(E^x^4*Log[5])) + 2/(E^x^4*Log[5]))*x^3 - E^x^4*Log[5])/(2*E^x^4*Log[5]),x]","\frac{x (-\log (5))-\log (5) e^{e^{\frac{2 e^{-x^4}}{\log (5)}}}}{\log (25)}","\frac{1}{2} \left(-e^{e^{\frac{2 e^{-x^4}}{\log (5)}}}-x-1\right)",1,"(-(E^E^(2/(E^x^4*Log[5]))*Log[5]) - x*Log[5])/Log[25]","A",1
8102,1,28,29,1.1801776,"\int \frac{e^{2 x} \left(5-10 x+40 \log ^2(5)\right)+e^{2 x+2 x^2} \left(1-2 x+4 x^2+(8-16 x) \log ^2(5)\right)}{25 x^2-200 x \log ^2(5)+400 \log ^4(5)+e^{4 x^2} \left(x^2-8 x \log ^2(5)+16 \log ^4(5)\right)+e^{2 x^2} \left(10 x^2-80 x \log ^2(5)+160 \log ^4(5)\right)} \, dx","Integrate[(E^(2*x)*(5 - 10*x + 40*Log[5]^2) + E^(2*x + 2*x^2)*(1 - 2*x + 4*x^2 + (8 - 16*x)*Log[5]^2))/(25*x^2 - 200*x*Log[5]^2 + 400*Log[5]^4 + E^(4*x^2)*(x^2 - 8*x*Log[5]^2 + 16*Log[5]^4) + E^(2*x^2)*(10*x^2 - 80*x*Log[5]^2 + 160*Log[5]^4)),x]","-\frac{e^{2 x}}{\left(e^{2 x^2}+5\right) \left(x-4 \log ^2(5)\right)}","\frac{e^{2 x}}{\left(e^{2 x^2}+5\right) \left(4 \log ^2(5)-x\right)}",1,"-(E^(2*x)/((5 + E^(2*x^2))*(x - 4*Log[5]^2)))","A",1
8103,1,19,27,0.0995905,"\int \frac{8+2 e^2}{\left(5+6 x+x^2+e^2 (1+x)\right) \log \left(\frac{25+e^4+10 x+x^2+e^2 (10+2 x)}{1+2 x+x^2}\right) \log \left(\log \left(\frac{25+e^4+10 x+x^2+e^2 (10+2 x)}{1+2 x+x^2}\right)\right)} \, dx","Integrate[(8 + 2*E^2)/((5 + 6*x + x^2 + E^2*(1 + x))*Log[(25 + E^4 + 10*x + x^2 + E^2*(10 + 2*x))/(1 + 2*x + x^2)]*Log[Log[(25 + E^4 + 10*x + x^2 + E^2*(10 + 2*x))/(1 + 2*x + x^2)]]),x]","-\log \left(\log \left(\log \left(\frac{\left(x+e^2+5\right)^2}{(x+1)^2}\right)\right)\right)","-\log \left(\log \left(\log \left(\frac{\left(x+e^2+5\right)^2}{(x+1)^2}\right)\right)\right)+1+\frac{\log (25)}{4}",1,"-Log[Log[Log[(5 + E^2 + x)^2/(1 + x)^2]]]","A",1
8104,1,75,26,0.3498902,"\int \frac{1080+436 x+140 x^2+40 x^3+4 x^4+\left(436+88 x+40 x^2+8 x^3\right) \log (4)+\left(44+4 x^2\right) \log ^2(4)+(20+8 x+4 \log (4)) \log (x)}{75 x^2+30 x^3+3 x^4+\left(30 x^2+6 x^3\right) \log (4)+3 x^2 \log ^2(4)} \, dx","Integrate[(1080 + 436*x + 140*x^2 + 40*x^3 + 4*x^4 + (436 + 88*x + 40*x^2 + 8*x^3)*Log[4] + (44 + 4*x^2)*Log[4]^2 + (20 + 8*x + 4*Log[4])*Log[x])/(75*x^2 + 30*x^3 + 3*x^4 + (30*x^2 + 6*x^3)*Log[4] + 3*x^2*Log[4]^2),x]","\frac{4 \left(x^3 (5+\log (4))^2+x^2 (5+\log (4))^3+x \left(-250+\log ^2(4)-2 \log (4) (50+\log (2048))\right)-(5+\log (4))^2 \log (x)-11 (5+\log (4))^3\right)}{3 x (5+\log (4))^2 (x+5+\log (4))}","\frac{4 \left(x^2+\frac{x-\log (x)}{x+5+\log (4)}-11\right)}{3 x}",1,"(4*(x^3*(5 + Log[4])^2 - 11*(5 + Log[4])^3 + x^2*(5 + Log[4])^3 + x*(-250 + Log[4]^2 - 2*Log[4]*(50 + Log[2048])) - (5 + Log[4])^2*Log[x]))/(3*x*(5 + Log[4])^2*(5 + x + Log[4]))","B",1
8105,1,25,26,0.0243344,"\int \frac{4 x^4-x^6-90 x^7+\left(5 x^2-2 x^4-180 x^5\right) \log (4)+\left(3-x^2-90 x^3\right) \log ^2(4)}{x^6+2 x^4 \log (4)+x^2 \log ^2(4)} \, dx","Integrate[(4*x^4 - x^6 - 90*x^7 + (5*x^2 - 2*x^4 - 180*x^5)*Log[4] + (3 - x^2 - 90*x^3)*Log[4]^2)/(x^6 + 2*x^4*Log[4] + x^2*Log[4]^2),x]","-45 x^2-\frac{x}{x^2+\log (4)}-x-\frac{3}{x}","-45 x^2-\frac{x}{x^2+\log (4)}-x-\frac{3}{x}+5",1,"-3/x - x - 45*x^2 - x/(x^2 + Log[4])","A",1
8106,1,22,25,0.1551993,"\int \frac{e^2 \left(-6 x+24 x^2\right)+e^4 \left(9 x^2-48 x^3\right) \log (x)+\left(6-24 x+e^2 \left(-12 x+72 x^2\right) \log (x)\right) \log (\log (x))+(3-24 x) \log (x) \log ^2(\log (x))}{64 \log (x)} \, dx","Integrate[(E^2*(-6*x + 24*x^2) + E^4*(9*x^2 - 48*x^3)*Log[x] + (6 - 24*x + E^2*(-12*x + 72*x^2)*Log[x])*Log[Log[x]] + (3 - 24*x)*Log[x]*Log[Log[x]]^2)/(64*Log[x]),x]","-\frac{3}{64} x (4 x-1) \left(\log (\log (x))-e^2 x\right)^2","\frac{3}{16} \left(\frac{1}{4}-x\right) x \left(e^2 x-\log (\log (x))\right)^2",1,"(-3*x*(-1 + 4*x)*(-(E^2*x) + Log[Log[x]])^2)/64","A",1
8107,1,64,26,0.1319894,"\int \exp \left(-\frac{1}{2}+\frac{4 e^{4 x}+8 e^{3 x} x^2+12 e^{2 x} x^4+8 e^x x^6+2 x^8+e^{2 x} \left(4 e^{2 x}+8 e^x x^2+4 x^4\right)}{\sqrt{e}}\right) \left(16 e^{4 x}+16 x^7+e^{3 x} \left(16 x+24 x^2\right)+e^{2 x} \left(48 x^3+24 x^4\right)+e^x \left(48 x^5+8 x^6\right)+e^{2 x} \left(16 e^{2 x}+16 x^3+8 x^4+e^x \left(16 x+24 x^2\right)\right)\right) \, dx","Integrate[E^(-1/2 + (4*E^(4*x) + 8*E^(3*x)*x^2 + 12*E^(2*x)*x^4 + 8*E^x*x^6 + 2*x^8 + E^(2*x)*(4*E^(2*x) + 8*E^x*x^2 + 4*x^4))/Sqrt[E])*(16*E^(4*x) + 16*x^7 + E^(3*x)*(16*x + 24*x^2) + E^(2*x)*(48*x^3 + 24*x^4) + E^x*(48*x^5 + 8*x^6) + E^(2*x)*(16*E^(2*x) + 16*x^3 + 8*x^4 + E^x*(16*x + 24*x^2))),x]","\exp \left(\frac{2 x^8}{\sqrt{e}}+8 e^{x-\frac{1}{2}} x^6+16 e^{2 x-\frac{1}{2}} x^4+16 e^{3 x-\frac{1}{2}} x^2+8 e^{4 x-\frac{1}{2}}\right)","e^{\frac{2 \left(\left(x^2+e^x\right)^2+e^{2 x}\right)^2}{\sqrt{e}}}",1,"E^(8*E^(-1/2 + 4*x) + 16*E^(-1/2 + 3*x)*x^2 + 16*E^(-1/2 + 2*x)*x^4 + 8*E^(-1/2 + x)*x^6 + (2*x^8)/Sqrt[E])","B",1
8108,1,19,21,0.0130837,"\int \frac{e^{-2 x} \left(-45 x+45 x^2-9 x^3\right) \log (3)}{-1000+600 x-120 x^2+8 x^3} \, dx","Integrate[((-45*x + 45*x^2 - 9*x^3)*Log[3])/(E^(2*x)*(-1000 + 600*x - 120*x^2 + 8*x^3)),x]","\frac{9 e^{-2 x} x^2 \log (3)}{16 (x-5)^2}","\frac{9 e^{-2 x} x^2 \log (3)}{16 (x-5)^2}+3",1,"(9*x^2*Log[3])/(16*E^(2*x)*(-5 + x)^2)","A",1
8109,1,32,26,0.1615187,"\int \frac{-15 e^2+e^{\frac{2 \left(6 e^2 x+x^2-3 e^2 x \log (5)\right)}{3 e^2}} \left(-60 e^2-20 x+30 e^2 \log (5)\right)}{3 \exp \left(2+\frac{4 \left(6 e^2 x+x^2-3 e^2 x \log (5)\right)}{3 e^2}\right)+\exp \left(2+\frac{2 \left(6 e^2 x+x^2-3 e^2 x \log (5)\right)}{3 e^2}\right) (-6+6 x)+e^2 \left(3-6 x+3 x^2\right)} \, dx","Integrate[(-15*E^2 + E^((2*(6*E^2*x + x^2 - 3*E^2*x*Log[5]))/(3*E^2))*(-60*E^2 - 20*x + 30*E^2*Log[5]))/(3*E^(2 + (4*(6*E^2*x + x^2 - 3*E^2*x*Log[5]))/(3*E^2)) + E^(2 + (2*(6*E^2*x + x^2 - 3*E^2*x*Log[5]))/(3*E^2))*(-6 + 6*x) + E^2*(3 - 6*x + 3*x^2)),x]","\frac{5^{2 x+1}}{25^x (x-1)+e^{\frac{2}{3} x \left(\frac{x}{e^2}+6\right)}}","\frac{5}{x+e^{2 x \left(\frac{x}{3 e^2}+2-\log (5)\right)}-1}",1,"5^(1 + 2*x)/(E^((2*x*(6 + x/E^2))/3) + 25^x*(-1 + x))","A",1
8110,1,34,30,0.7856013,"\int \frac{-4+2 e^{x-x \log (2)}+4 x+4 e^x \log (2)-4 x \log (2)}{10 e^x-10 x+5 e^{x-x \log (2)} x} \, dx","Integrate[(-4 + 2*E^(x - x*Log[2]) + 4*x + 4*E^x*Log[2] - 4*x*Log[2])/(10*E^x - 10*x + 5*E^(x - x*Log[2])*x),x]","\frac{2}{5} \log \left(e^x x-2^{x+1} x+2^{x+1} e^x\right)-\frac{2 x}{5}","\frac{1}{5} \log \left(\left(2 x-4 \left(x-e^x\right) e^{x \log (2)-x}\right)^2\right)",1,"(-2*x)/5 + (2*Log[2^(1 + x)*E^x - 2^(1 + x)*x + E^x*x])/5","A",1
8111,1,9,13,0.0042286,"\int -15 e^{\frac{1}{5} (198-75 x)} \, dx","Integrate[-15*E^((198 - 75*x)/5),x]","e^{\frac{198}{5}-15 x}","e^{15 \left(\frac{51}{25}-x\right)+9}",1,"E^(198/5 - 15*x)","A",1
8112,1,27,32,0.2750884,"\int \frac{-e^{4+4 x}+12 x^2-x^4+e^{2+2 x} \left(12-6 x-16 x^2\right)}{e^{4+4 x}-2 e^{2+2 x} x^2+x^4} \, dx","Integrate[(-E^(4 + 4*x) + 12*x^2 - x^4 + E^(2 + 2*x)*(12 - 6*x - 16*x^2))/(E^(4 + 4*x) - 2*E^(2 + 2*x)*x^2 + x^4),x]","-\frac{3 (3 x+4) x}{x^2-e^{2 x+2}}-x","\frac{3 (4 (x+1)-x) x}{e^{2 x+2}-x^2}-x+4",1,"-x - (3*x*(4 + 3*x))/(-E^(2 + 2*x) + x^2)","A",1
8113,0,0,25,0.4184341,"\int \frac{\exp \left(\frac{2 x^2+4 x^3+2 x^4+4 x \log (4)+\left(2 x+4 x^2+2 x^3\right) \log (x)}{x+2 x^2+x^3+\left(1+2 x+x^2\right) \log (x)}\right) \left(2 x^2+6 x^3+6 x^4+2 x^5+\left(-4-4 x-8 x^2\right) \log (4)+\left(4 x+12 x^2+12 x^3+4 x^4+(4-4 x) \log (4)\right) \log (x)+\left(2+6 x+6 x^2+2 x^3\right) \log ^2(x)\right)}{x^2+3 x^3+3 x^4+x^5+\left(2 x+6 x^2+6 x^3+2 x^4\right) \log (x)+\left(1+3 x+3 x^2+x^3\right) \log ^2(x)} \, dx","Integrate[(E^((2*x^2 + 4*x^3 + 2*x^4 + 4*x*Log[4] + (2*x + 4*x^2 + 2*x^3)*Log[x])/(x + 2*x^2 + x^3 + (1 + 2*x + x^2)*Log[x]))*(2*x^2 + 6*x^3 + 6*x^4 + 2*x^5 + (-4 - 4*x - 8*x^2)*Log[4] + (4*x + 12*x^2 + 12*x^3 + 4*x^4 + (4 - 4*x)*Log[4])*Log[x] + (2 + 6*x + 6*x^2 + 2*x^3)*Log[x]^2))/(x^2 + 3*x^3 + 3*x^4 + x^5 + (2*x + 6*x^2 + 6*x^3 + 2*x^4)*Log[x] + (1 + 3*x + 3*x^2 + x^3)*Log[x]^2),x]","\int \frac{\exp \left(\frac{2 x^2+4 x^3+2 x^4+4 x \log (4)+\left(2 x+4 x^2+2 x^3\right) \log (x)}{x+2 x^2+x^3+\left(1+2 x+x^2\right) \log (x)}\right) \left(2 x^2+6 x^3+6 x^4+2 x^5+\left(-4-4 x-8 x^2\right) \log (4)+\left(4 x+12 x^2+12 x^3+4 x^4+(4-4 x) \log (4)\right) \log (x)+\left(2+6 x+6 x^2+2 x^3\right) \log ^2(x)\right)}{x^2+3 x^3+3 x^4+x^5+\left(2 x+6 x^2+6 x^3+2 x^4\right) \log (x)+\left(1+3 x+3 x^2+x^3\right) \log ^2(x)} \, dx","\exp \left(4 \left(\frac{x}{2}+\frac{x \log (4)}{(x+1)^2 (x+\log (x))}\right)\right)",1,"Integrate[(E^((2*x^2 + 4*x^3 + 2*x^4 + 4*x*Log[4] + (2*x + 4*x^2 + 2*x^3)*Log[x])/(x + 2*x^2 + x^3 + (1 + 2*x + x^2)*Log[x]))*(2*x^2 + 6*x^3 + 6*x^4 + 2*x^5 + (-4 - 4*x - 8*x^2)*Log[4] + (4*x + 12*x^2 + 12*x^3 + 4*x^4 + (4 - 4*x)*Log[4])*Log[x] + (2 + 6*x + 6*x^2 + 2*x^3)*Log[x]^2))/(x^2 + 3*x^3 + 3*x^4 + x^5 + (2*x + 6*x^2 + 6*x^3 + 2*x^4)*Log[x] + (1 + 3*x + 3*x^2 + x^3)*Log[x]^2), x]","F",-1
8114,1,14,14,0.0223788,"\int \frac{e^{-29+e^x} \left(-1+e^x x \log (3 x)\right)}{x \log ^2(3 x)} \, dx","Integrate[(E^(-29 + E^x)*(-1 + E^x*x*Log[3*x]))/(x*Log[3*x]^2),x]","\frac{e^{e^x-29}}{\log (3 x)}","\frac{e^{e^x-29}}{\log (3 x)}",1,"E^(-29 + E^x)/Log[3*x]","A",1
8115,1,11,12,0.0058196,"\int \left(-1-e^{2-x}\right) \, dx","Integrate[-1 - E^(2 - x),x]","e^{2-x}-x","-x+e^{2-x}-1",1,"E^(2 - x) - x","A",1
8116,1,21,21,0.3416031,"\int e^{-\log ^2(25 x)} \left(e^x \left(-2 x+29 x^2+10 x^3\right)+e^x \left(2 x-20 x^2\right) \log (25 x)\right) \, dx","Integrate[(E^x*(-2*x + 29*x^2 + 10*x^3) + E^x*(2*x - 20*x^2)*Log[25*x])/E^Log[25*x]^2,x]","x^2 (10 x-1) e^{x-\log ^2(25 x)}","x^2 (10 x-1) e^{x-\log ^2(25 x)}",1,"E^(x - Log[25*x]^2)*x^2*(-1 + 10*x)","A",1
8117,1,31,24,0.0987548,"\int \frac{\left(9 x^3+24 x^4+16 x^5\right) \log (x)+\left(-1-4 x-4 x^2+\left(-3 x-8 x^2-8 x^3\right) \log (x)\right) \log (\log (4))+\left(6 x^2+20 x^3+16 x^4\right) \log (x) \log (\log (x))+\left(x+4 x^2+4 x^3\right) \log (x) \log ^2(\log (x))}{\left(9 x^3+24 x^4+16 x^5\right) \log (x)+\left(6 x^2+20 x^3+16 x^4\right) \log (x) \log (\log (x))+\left(x+4 x^2+4 x^3\right) \log (x) \log ^2(\log (x))} \, dx","Integrate[((9*x^3 + 24*x^4 + 16*x^5)*Log[x] + (-1 - 4*x - 4*x^2 + (-3*x - 8*x^2 - 8*x^3)*Log[x])*Log[Log[4]] + (6*x^2 + 20*x^3 + 16*x^4)*Log[x]*Log[Log[x]] + (x + 4*x^2 + 4*x^3)*Log[x]*Log[Log[x]]^2)/((9*x^3 + 24*x^4 + 16*x^5)*Log[x] + (6*x^2 + 20*x^3 + 16*x^4)*Log[x]*Log[Log[x]] + (x + 4*x^2 + 4*x^3)*Log[x]*Log[Log[x]]^2),x]","\frac{(2 x+1) \log (\log (4))}{4 x^2+3 x+2 x \log (\log (x))+\log (\log (x))}+x","x+\frac{\log (\log (4))}{\frac{x}{2 x+1}+2 x+\log (\log (x))}",1,"x + ((1 + 2*x)*Log[Log[4]])/(3*x + 4*x^2 + Log[Log[x]] + 2*x*Log[Log[x]])","A",1
8118,1,29,31,0.1530169,"\int \frac{(2560-512 x) \log (x)+(-1280+256 x+(-1280-256 x) \log (x)) \log \left(x^2\right)+\left(-250 x+150 x^2-30 x^3+2 x^4\right) \log ^2\left(x^2\right)}{\left(-125+75 x-15 x^2+x^3\right) \log ^2\left(x^2\right)} \, dx","Integrate[((2560 - 512*x)*Log[x] + (-1280 + 256*x + (-1280 - 256*x)*Log[x])*Log[x^2] + (-250*x + 150*x^2 - 30*x^3 + 2*x^4)*Log[x^2]^2)/((-125 + 75*x - 15*x^2 + x^3)*Log[x^2]^2),x]","\frac{x \left(x (x-5)^2 \log \left(x^2\right)+256 \log (x)\right)}{(x-5)^2 \log \left(x^2\right)}","x^2+\frac{\left(\frac{2 (x+3)}{5-x}+2\right)^2 x \log (x)}{\log \left(x^2\right)}+4",1,"(x*(256*Log[x] + (-5 + x)^2*x*Log[x^2]))/((-5 + x)^2*Log[x^2])","A",1
8119,1,19,17,0.0400911,"\int \frac{e^{1+2 x} (1+x)+\left(e^{2 x} \left(e \left(22 x+2 x^2\right)+2 x \log (5)\right)+2 e^{1+2 x} x \log (x)\right) \log (e (11+x)+\log (5)+e \log (x))}{e \left(11 x+x^2\right)+x \log (5)+e x \log (x)} \, dx","Integrate[(E^(1 + 2*x)*(1 + x) + (E^(2*x)*(E*(22*x + 2*x^2) + 2*x*Log[5]) + 2*E^(1 + 2*x)*x*Log[x])*Log[E*(11 + x) + Log[5] + E*Log[x]])/(E*(11*x + x^2) + x*Log[5] + E*x*Log[x]),x]","e^{2 x} \log (e (x+11)+e \log (x)+\log (5))","e^{2 x} \log (e (x+\log (x)+11)+\log (5))",1,"E^(2*x)*Log[E*(11 + x) + Log[5] + E*Log[x]]","A",1
8120,1,13,13,0.0039339,"\int \frac{1}{625} \left(625-12 e^{\frac{2 x^6}{625}} x^5\right) \, dx","Integrate[(625 - 12*E^((2*x^6)/625)*x^5)/625,x]","x-e^{\frac{2 x^6}{625}}","x-e^{\frac{2 x^6}{625}}",1,"-E^((2*x^6)/625) + x","A",1
8121,1,16,18,0.002103,"\int \frac{e^4 \left(-45+10 x^3\right)}{18 x^2} \, dx","Integrate[(E^4*(-45 + 10*x^3))/(18*x^2),x]","\frac{5}{18} e^4 \left(x^2+\frac{9}{x}\right)","\frac{5}{2} e^4 \left(\frac{x^2}{9}+\frac{1}{x}\right)",1,"(5*E^4*(9/x + x^2))/18","A",1
8122,1,22,23,2.3820878,"\int \frac{256 x^3-12288 x^4+e^{4 e^x+4 x} \left(-48 x^4+64 x^5+64 e^x x^5\right)+e^{3 e^x+3 x} \left(-768 x^4+768 x^5+768 e^x x^5\right)+e^{2 e^x+2 x} \left(-4608 x^4+3072 x^5+3072 e^x x^5\right)+e^{e^x+x} \left(-12288 x^4+4096 x^5+4096 e^x x^5\right)}{16-2048 x+65536 x^2+3584 e^{5 e^x+5 x} x^2+448 e^{6 e^x+6 x} x^2+32 e^{7 e^x+7 x} x^2+e^{8 e^x+8 x} x^2+e^{4 e^x+4 x} \left(-8 x+17920 x^2\right)+e^{3 e^x+3 x} \left(-128 x+57344 x^2\right)+e^{2 e^x+2 x} \left(-768 x+114688 x^2\right)+e^{e^x+x} \left(-2048 x+131072 x^2\right)} \, dx","Integrate[(256*x^3 - 12288*x^4 + E^(4*E^x + 4*x)*(-48*x^4 + 64*x^5 + 64*E^x*x^5) + E^(3*E^x + 3*x)*(-768*x^4 + 768*x^5 + 768*E^x*x^5) + E^(2*E^x + 2*x)*(-4608*x^4 + 3072*x^5 + 3072*E^x*x^5) + E^(E^x + x)*(-12288*x^4 + 4096*x^5 + 4096*E^x*x^5))/(16 - 2048*x + 65536*x^2 + 3584*E^(5*E^x + 5*x)*x^2 + 448*E^(6*E^x + 6*x)*x^2 + 32*E^(7*E^x + 7*x)*x^2 + E^(8*E^x + 8*x)*x^2 + E^(4*E^x + 4*x)*(-8*x + 17920*x^2) + E^(3*E^x + 3*x)*(-128*x + 57344*x^2) + E^(2*E^x + 2*x)*(-768*x + 114688*x^2) + E^(E^x + x)*(-2048*x + 131072*x^2)),x]","-\frac{16 x^4}{\left(e^{x+e^x}+4\right)^4 x-4}","\frac{16 x^4}{4-\left(e^{x+e^x}+4\right)^4 x}",1,"(-16*x^4)/(-4 + (4 + E^(E^x + x))^4*x)","A",1
8123,1,19,25,0.015105,"\int \frac{e^{4 x} (4-16 x)-10 x}{5 x^2} \, dx","Integrate[(E^(4*x)*(4 - 16*x) - 10*x)/(5*x^2),x]","-\frac{2}{5} \left(\frac{2 e^{4 x}}{x}+5 \log (x)\right)","2 \left(\frac{2}{5} \left(3-\frac{e^{4 x}}{x}\right)-\log (5 x)\right)",1,"(-2*((2*E^(4*x))/x + 5*Log[x]))/5","A",1
8124,1,30,30,0.1234365,"\int \frac{-11025-2940 x+1274 x^2+196 x^3-49 x^4+e^5 \left(63+42 x+7 x^2\right)+e^{2 x} \left(-2500 x^2+1000 x^3-100 x^4\right)+e^x \left(-10500 x+700 x^2+980 x^3-140 x^4+e^5 \left(-150-90 x-10 x^2+10 x^3\right)\right)}{11025+2940 x-1274 x^2-196 x^3+49 x^4+e^{2 x} \left(2500 x^2-1000 x^3+100 x^4\right)+e^x \left(10500 x-700 x^2-980 x^3+140 x^4\right)} \, dx","Integrate[(-11025 - 2940*x + 1274*x^2 + 196*x^3 - 49*x^4 + E^5*(63 + 42*x + 7*x^2) + E^(2*x)*(-2500*x^2 + 1000*x^3 - 100*x^4) + E^x*(-10500*x + 700*x^2 + 980*x^3 - 140*x^4 + E^5*(-150 - 90*x - 10*x^2 + 10*x^3)))/(11025 + 2940*x - 1274*x^2 - 196*x^3 + 49*x^4 + E^(2*x)*(2500*x^2 - 1000*x^3 + 100*x^4) + E^x*(10500*x - 700*x^2 - 980*x^3 + 140*x^4)),x]","-x-\frac{e^5 (x+3)}{(x-5) \left(10 e^x x+7 x+21\right)}","\frac{e^5}{(5-x) \left(\frac{10 e^x x}{x+3}+7\right)}-x",1,"-x - (E^5*(3 + x))/((-5 + x)*(21 + 7*x + 10*E^x*x))","A",1
8125,1,41,21,0.0043739,"\int \frac{1}{5} \left(-7296+e^4 (120-40 x)+3872 x-720 x^2+80 x^3\right) \, dx","Integrate[(-7296 + E^4*(120 - 40*x) + 3872*x - 720*x^2 + 80*x^3)/5,x]","-\frac{8}{5} \left(-\frac{5 x^4}{2}+30 x^3+\frac{5 e^4 x^2}{2}-242 x^2-15 e^4 x+912 x\right)","\left(x^2+(6-x)^2-e^4+\frac{124}{5}\right)^2",1,"(-8*(912*x - 15*E^4*x - 242*x^2 + (5*E^4*x^2)/2 + 30*x^3 - (5*x^4)/2))/5","A",1
8126,1,34,28,5.0653514,"\int \frac{-32 x^4 \log \left(\frac{1}{3} x \log (3)\right)-32 x^4 \log ^2\left(\frac{1}{3} x \log (3)\right)+\left(-1792 x^3+256 e^2 x^3\right) \log ^3\left(\frac{1}{3} x \log (3)\right)}{-x^3+\left(-84 x^2+12 e^2 x^2\right) \log \left(\frac{1}{3} x \log (3)\right)+\left(-2352 x+672 e^2 x-48 e^4 x\right) \log ^2\left(\frac{1}{3} x \log (3)\right)+\left(-21952+9408 e^2-1344 e^4+64 e^6\right) \log ^3\left(\frac{1}{3} x \log (3)\right)} \, dx","Integrate[(-32*x^4*Log[(x*Log[3])/3] - 32*x^4*Log[(x*Log[3])/3]^2 + (-1792*x^3 + 256*E^2*x^3)*Log[(x*Log[3])/3]^3)/(-x^3 + (-84*x^2 + 12*E^2*x^2)*Log[(x*Log[3])/3] + (-2352*x + 672*E^2*x - 48*E^4*x)*Log[(x*Log[3])/3]^2 + (-21952 + 9408*E^2 - 1344*E^4 + 64*E^6)*Log[(x*Log[3])/3]^3),x]","\frac{16 x^4 \log ^2\left(\frac{1}{3} x \log (3)\right)}{\left(x-4 \left(e^2-7\right) \log \left(\frac{1}{3} x \log (3)\right)\right)^2}","\frac{x^4}{\left(\frac{x}{4 \log \left(\frac{1}{3} x \log (3)\right)}-e^2+7\right)^2}",1,"(16*x^4*Log[(x*Log[3])/3]^2)/(x - 4*(-7 + E^2)*Log[(x*Log[3])/3])^2","A",1
8127,1,47,29,0.0344016,"\int \left(-1+e^{196+28 x+x^2} (-28-2 x)+16 x+4 x^3+e^{2+x} \left(-16 x-8 x^2-8 x^3-2 x^4\right)+e^{4+2 x} \left(4 x^3+2 x^4\right)\right) \, dx","Integrate[-1 + E^(196 + 28*x + x^2)*(-28 - 2*x) + 16*x + 4*x^3 + E^(2 + x)*(-16*x - 8*x^2 - 8*x^3 - 2*x^4) + E^(4 + 2*x)*(4*x^3 + 2*x^4),x]","e^{2 x+4} x^4+x^4-2 e^{x+2} \left(x^3+4 x\right) x+8 x^2-x-e^{(x+14)^2}","\left(x \left(x-e^{x+2} x\right)+4\right)^2-e^{(x+14)^2}-x",1,"-E^(14 + x)^2 - x + 8*x^2 + x^4 + E^(4 + 2*x)*x^4 - 2*E^(2 + x)*x*(4*x + x^3)","A",1
8128,1,13,16,0.4400651,"\int \frac{512-100 x+(2304+50 x) \log (x)+4608 \log ^2(x)+5376 \log ^3(x)+4032 \log ^4(x)+2016 \log ^5(x)+672 \log ^6(x)+144 \log ^7(x)+18 \log ^8(x)+\log ^9(x)}{512+2304 \log (x)+4608 \log ^2(x)+5376 \log ^3(x)+4032 \log ^4(x)+2016 \log ^5(x)+672 \log ^6(x)+144 \log ^7(x)+18 \log ^8(x)+\log ^9(x)} \, dx","Integrate[(512 - 100*x + (2304 + 50*x)*Log[x] + 4608*Log[x]^2 + 5376*Log[x]^3 + 4032*Log[x]^4 + 2016*Log[x]^5 + 672*Log[x]^6 + 144*Log[x]^7 + 18*Log[x]^8 + Log[x]^9)/(512 + 2304*Log[x] + 4608*Log[x]^2 + 5376*Log[x]^3 + 4032*Log[x]^4 + 2016*Log[x]^5 + 672*Log[x]^6 + 144*Log[x]^7 + 18*Log[x]^8 + Log[x]^9),x]","\frac{25 x^2}{(\log (x)+2)^8}+x","\frac{25 x^2}{(\log (x)+2)^8}+x+\frac{3}{2}",1,"x + (25*x^2)/(2 + Log[x])^8","A",1
8129,1,25,18,0.2098842,"\int \frac{256-127 x+16 x^2+\left(-128 x+32 x^2\right) \log (2 x)}{x^2+\left(256 x-128 x^2+16 x^3\right) \log (2 x)} \, dx","Integrate[(256 - 127*x + 16*x^2 + (-128*x + 32*x^2)*Log[2*x])/(x^2 + (256*x - 128*x^2 + 16*x^3)*Log[2*x]),x]","\log \left(16 x^2 \log (2 x)+x-128 x \log (2 x)+256 \log (2 x)\right)","\log \left(4 x+64 (4-x)^2 \log (2 x)\right)",1,"Log[x + 256*Log[2*x] - 128*x*Log[2*x] + 16*x^2*Log[2*x]]","A",1
8130,0,0,32,0.6048555,"\int \frac{2 \log (x)+(3+x-x \log (x)) \log \left(x^2\right)+\left(-14 x-4 x^2\right) \log ^2\left(x^2\right)-3 x \log ^3\left(x^2\right)+\left(-\log \left(x^2\right)+4 x \log ^2\left(x^2\right)+x \log ^3\left(x^2\right)\right) \log \left(\log \left(x^2\right)\right)}{\left(\left(3 x+x^2\right) \log (x)+5 x \log ^2(x)\right) \log \left(x^2\right)+\left(-3 x^2-x^3-10 x^2 \log (x)\right) \log ^3\left(x^2\right)+5 x^3 \log ^5\left(x^2\right)+\left(-x \log (x) \log \left(x^2\right)+x^2 \log ^3\left(x^2\right)\right) \log \left(\log \left(x^2\right)\right)} \, dx","Integrate[(2*Log[x] + (3 + x - x*Log[x])*Log[x^2] + (-14*x - 4*x^2)*Log[x^2]^2 - 3*x*Log[x^2]^3 + (-Log[x^2] + 4*x*Log[x^2]^2 + x*Log[x^2]^3)*Log[Log[x^2]])/(((3*x + x^2)*Log[x] + 5*x*Log[x]^2)*Log[x^2] + (-3*x^2 - x^3 - 10*x^2*Log[x])*Log[x^2]^3 + 5*x^3*Log[x^2]^5 + (-(x*Log[x]*Log[x^2]) + x^2*Log[x^2]^3)*Log[Log[x^2]]),x]","\int \frac{2 \log (x)+(3+x-x \log (x)) \log \left(x^2\right)+\left(-14 x-4 x^2\right) \log ^2\left(x^2\right)-3 x \log ^3\left(x^2\right)+\left(-\log \left(x^2\right)+4 x \log ^2\left(x^2\right)+x \log ^3\left(x^2\right)\right) \log \left(\log \left(x^2\right)\right)}{\left(\left(3 x+x^2\right) \log (x)+5 x \log ^2(x)\right) \log \left(x^2\right)+\left(-3 x^2-x^3-10 x^2 \log (x)\right) \log ^3\left(x^2\right)+5 x^3 \log ^5\left(x^2\right)+\left(-x \log (x) \log \left(x^2\right)+x^2 \log ^3\left(x^2\right)\right) \log \left(\log \left(x^2\right)\right)} \, dx","\log \left(\frac{1}{5-\frac{-\log \left(\log \left(x^2\right)\right)+x+3}{x \log ^2\left(x^2\right)-\log (x)}}\right)",1,"Integrate[(2*Log[x] + (3 + x - x*Log[x])*Log[x^2] + (-14*x - 4*x^2)*Log[x^2]^2 - 3*x*Log[x^2]^3 + (-Log[x^2] + 4*x*Log[x^2]^2 + x*Log[x^2]^3)*Log[Log[x^2]])/(((3*x + x^2)*Log[x] + 5*x*Log[x]^2)*Log[x^2] + (-3*x^2 - x^3 - 10*x^2*Log[x])*Log[x^2]^3 + 5*x^3*Log[x^2]^5 + (-(x*Log[x]*Log[x^2]) + x^2*Log[x^2]^3)*Log[Log[x^2]]), x]","F",-1
8131,1,18,28,0.1460879,"\int \frac{-2 x+x^3+e^{x^2} \left(2-x^2\right)+\left(2 x+x^3+e^{x^2} \left(-4 x^2-2 x^4\right)\right) \log \left(\frac{2+x^2}{x}\right)}{2 x+x^3} \, dx","Integrate[(-2*x + x^3 + E^x^2*(2 - x^2) + (2*x + x^3 + E^x^2*(-4*x^2 - 2*x^4))*Log[(2 + x^2)/x])/(2*x + x^3),x]","\left(x-e^{x^2}\right) \log \left(x+\frac{2}{x}\right)","\left(x-e^{x^2}\right) \log \left(\frac{2 x^2+2}{x}-x\right)-4",1,"(-E^x^2 + x)*Log[2/x + x]","A",1
8132,1,20,25,0.0100587,"\int \frac{-1-6 x-5 x^2+7 x^3+6 x^4}{x+2 x^2+x^3} \, dx","Integrate[(-1 - 6*x - 5*x^2 + 7*x^3 + 6*x^4)/(x + 2*x^2 + x^3),x]","3 x^2-5 x-\frac{1}{x+1}-\log (x)","-\left(\left(\frac{5}{x}-3\right) x^2\right)+\frac{x}{x+1}-\log (x)-7",1,"-5*x + 3*x^2 - (1 + x)^(-1) - Log[x]","A",1
8133,1,57,36,0.1299496,"\int \frac{-4+100 e^{2/5}+12 x^2-2 x^3+\sqrt[5]{e} \left(-80 x+10 x^2\right)+e^x \left(-1+x+2 x^2-2 x^3-x^4+x^5+e^{4/5} (-625+625 x)+e^{3/5} \left(500 x-500 x^2\right)+e^{2/5} \left(50-50 x-150 x^2+150 x^3\right)+\sqrt[5]{e} \left(-20 x+20 x^2+20 x^3-20 x^4\right)\right)}{x^2+625 e^{4/5} x^2-500 e^{3/5} x^3-2 x^4+x^6+e^{2/5} \left(-50 x^2+150 x^4\right)+\sqrt[5]{e} \left(20 x^3-20 x^5\right)} \, dx","Integrate[(-4 + 100*E^(2/5) + 12*x^2 - 2*x^3 + E^(1/5)*(-80*x + 10*x^2) + E^x*(-1 + x + 2*x^2 - 2*x^3 - x^4 + x^5 + E^(4/5)*(-625 + 625*x) + E^(3/5)*(500*x - 500*x^2) + E^(2/5)*(50 - 50*x - 150*x^2 + 150*x^3) + E^(1/5)*(-20*x + 20*x^2 + 20*x^3 - 20*x^4)))/(x^2 + 625*E^(4/5)*x^2 - 500*E^(3/5)*x^3 - 2*x^4 + x^6 + E^(2/5)*(-50*x^2 + 150*x^4) + E^(1/5)*(20*x^3 - 20*x^5)),x]","\frac{e^x \left(x^2-1\right)-10 e^{x+\frac{1}{5}} x+x+25 e^{x+\frac{2}{5}}-4}{x \left(x^2-10 \sqrt[5]{e} x+25 e^{2/5}-1\right)}","\frac{e^x}{x}-\frac{4-x}{\left(5 \sqrt[5]{e}-x\right)^2 x-x}",1,"(-4 + 25*E^(2/5 + x) + x - 10*E^(1/5 + x)*x + E^x*(-1 + x^2))/(x*(-1 + 25*E^(2/5) - 10*E^(1/5)*x + x^2))","A",1
8134,1,29,29,2.2088431,"\int \frac{\left(e^{2 x} (-24+8 x) \log ^2(3)+e^x \left(96 x-32 x^2+48 x^4-16 x^5\right) \log ^2(3)+\left(-96 x^2+32 x^3-96 x^5+32 x^6-24 x^8+8 x^9\right) \log ^2(3)\right) \log (x)+\left(e^{2 x} \left(-32 x+8 x^2\right) \log ^2(3)+e^x \left(48 x+64 x^2-16 x^3+96 x^4+8 x^5-8 x^6\right) \log ^2(3)+\left(-96 x^2-240 x^5+48 x^6-96 x^8+24 x^9\right) \log ^2(3)\right) \log ^2(x)}{-27 x+27 x^2-9 x^3+x^4} \, dx","Integrate[((E^(2*x)*(-24 + 8*x)*Log[3]^2 + E^x*(96*x - 32*x^2 + 48*x^4 - 16*x^5)*Log[3]^2 + (-96*x^2 + 32*x^3 - 96*x^5 + 32*x^6 - 24*x^8 + 8*x^9)*Log[3]^2)*Log[x] + (E^(2*x)*(-32*x + 8*x^2)*Log[3]^2 + E^x*(48*x + 64*x^2 - 16*x^3 + 96*x^4 + 8*x^5 - 8*x^6)*Log[3]^2 + (-96*x^2 - 240*x^5 + 48*x^6 - 96*x^8 + 24*x^9)*Log[3]^2)*Log[x]^2)/(-27*x + 27*x^2 - 9*x^3 + x^4),x]","\frac{4 \left(x^4+2 x-e^x\right)^2 \log ^2(3) \log ^2(x)}{(x-3)^2}","\frac{4 \left(x^4+2 x-e^x\right)^2 \log ^2(3) \log ^2(x)}{(x-3)^2}",1,"(4*(-E^x + 2*x + x^4)^2*Log[3]^2*Log[x]^2)/(-3 + x)^2","A",1
8135,1,14,14,0.0000771,"\int \frac{20 x^9 \log ^8(5)}{9 e^{24}} \, dx","Integrate[(20*x^9*Log[5]^8)/(9*E^24),x]","\frac{2 x^{10} \log ^8(5)}{9 e^{24}}","\frac{2 x^{10} \log ^8(5)}{9 e^{24}}",1,"(2*x^10*Log[5]^8)/(9*E^24)","A",1
8136,1,17,22,0.1052803,"\int \frac{e^{\frac{256+768 x+320 x^2-384 x^3+64 x^4}{x^2}} \left(-512-768 x-384 x^3+128 x^4\right)}{x^3} \, dx","Integrate[(E^((256 + 768*x + 320*x^2 - 384*x^3 + 64*x^4)/x^2)*(-512 - 768*x - 384*x^3 + 128*x^4))/x^3,x]","e^{\frac{64 \left(x^2-3 x-2\right)^2}{x^2}}","e^{16 \left(-2 x+\frac{x+4}{x}+5\right)^2}-\frac{3}{5}",1,"E^((64*(-2 - 3*x + x^2)^2)/x^2)","A",1
8137,1,43,23,0.0090516,"\int \frac{-5+2 x+(3+2 x) (i \pi +\log (2))}{i \pi +\log (2)} \, dx","Integrate[(-5 + 2*x + (3 + 2*x)*(I*Pi + Log[2]))/(I*Pi + Log[2]),x]","\frac{i \pi  x^2+x^2+x^2 \log (2)+3 i \pi  x-5 x+3 x \log (2)}{\log (2)+i \pi }","3 x+x \left(x+\frac{x-5}{\log (2)+i \pi }\right)+9",1,"(-5*x + (3*I)*Pi*x + x^2 + I*Pi*x^2 + 3*x*Log[2] + x^2*Log[2])/(I*Pi + Log[2])","A",1
8138,1,16,16,0.0010896,"\int \frac{21+7 x^2-28 x \left(3+x^2\right)^2}{9+3 x^2} \, dx","Integrate[(21 + 7*x^2 - 28*x*(3 + x^2)^2)/(9 + 3*x^2),x]","-\frac{7}{3} \left(x^4+6 x^2-x\right)","\frac{7}{3} \left(-\left(x^2+3\right)^2+x+2\right)",1,"(-7*(-x + 6*x^2 + x^4))/3","A",1
8139,1,24,26,0.081617,"\int \frac{e^{-x} \left(-12-36 x-12 x^2-3 e^5 x \log (3)-3 e^5 x \log (4)+12 x \log (x)\right)}{4 x} \, dx","Integrate[(-12 - 36*x - 12*x^2 - 3*E^5*x*Log[3] - 3*E^5*x*Log[4] + 12*x*Log[x])/(4*E^x*x),x]","\frac{3}{4} e^{-x} \left(4 x-4 \log (x)+16+e^5 \log (12)\right)","3 e^{-x} \left(x-\log (x)+4+\frac{1}{4} e^5 (\log (3)+\log (4))\right)",1,"(3*(16 + 4*x + E^5*Log[12] - 4*Log[x]))/(4*E^x)","A",1
8140,1,35,28,0.0834469,"\int \frac{e^5 \left(45 x-92 x^2-14 x^3+40 x^4+x^5-4 x^6\right)+\left(e^5 \left(-145 x+100 x^2+54 x^3-40 x^4-5 x^5+4 x^6\right)+e^5 \left(-145+100 x+54 x^2-40 x^3-5 x^4+4 x^5\right) \log \left(\frac{-29+20 x+5 x^2-4 x^3}{-5+x^2}\right)\right) \log \left(x+\log \left(\frac{-29+20 x+5 x^2-4 x^3}{-5+x^2}\right)\right)}{-145 x^3+100 x^4+54 x^5-40 x^6-5 x^7+4 x^8+\left(-145 x^2+100 x^3+54 x^4-40 x^5-5 x^6+4 x^7\right) \log \left(\frac{-29+20 x+5 x^2-4 x^3}{-5+x^2}\right)} \, dx","Integrate[(E^5*(45*x - 92*x^2 - 14*x^3 + 40*x^4 + x^5 - 4*x^6) + (E^5*(-145*x + 100*x^2 + 54*x^3 - 40*x^4 - 5*x^5 + 4*x^6) + E^5*(-145 + 100*x + 54*x^2 - 40*x^3 - 5*x^4 + 4*x^5)*Log[(-29 + 20*x + 5*x^2 - 4*x^3)/(-5 + x^2)])*Log[x + Log[(-29 + 20*x + 5*x^2 - 4*x^3)/(-5 + x^2)]])/(-145*x^3 + 100*x^4 + 54*x^5 - 40*x^6 - 5*x^7 + 4*x^8 + (-145*x^2 + 100*x^3 + 54*x^4 - 40*x^5 - 5*x^6 + 4*x^7)*Log[(-29 + 20*x + 5*x^2 - 4*x^3)/(-5 + x^2)]),x]","-\frac{e^5 \log \left(\log \left(\frac{-4 x^3+5 x^2+20 x-29}{x^2-5}\right)+x\right)}{x}","\frac{e^5 \left(x-\log \left(\log \left(5-4 \left(\frac{1}{x^2-5}+x\right)\right)+x\right)\right)}{x}",1,"-((E^5*Log[x + Log[(-29 + 20*x + 5*x^2 - 4*x^3)/(-5 + x^2)]])/x)","A",1
8141,1,51,27,0.1662479,"\int \frac{-20000 x^2-2500 x^3+e (800+96 x)+e^{3 x} \left(-640 x^2-80 x^3\right)+e^{4 x} \left(-32 x^2-4 x^3\right)+e^{2 x} \left(-4800 x^2-600 x^3+e \left(32+68 x+8 x^2\right)\right)+e^x \left(-16000 x^2-2000 x^3+e \left(320+360 x+40 x^2\right)\right)+\left(e (-32-4 x)+1600 x^2+200 x^3+e^{2 x} \left(64 x^2+8 x^3\right)+e^x \left(640 x^2+80 x^3\right)\right) \log (8+x)+\left(-32 x^2-4 x^3\right) \log ^2(8+x)}{5000 x^4+625 x^5+e^2 (8+x)+e \left(400 x^2+50 x^3\right)+e^{4 x} \left(8 x^4+x^5\right)+e^{3 x} \left(160 x^4+20 x^5\right)+e^{2 x} \left(1200 x^4+150 x^5+e \left(16 x^2+2 x^3\right)\right)+e^x \left(4000 x^4+500 x^5+e \left(160 x^2+20 x^3\right)\right)+\left(-400 x^4-50 x^5+e \left(-16 x^2-2 x^3\right)+e^x \left(-160 x^4-20 x^5\right)+e^{2 x} \left(-16 x^4-2 x^5\right)\right) \log (8+x)+\left(8 x^4+x^5\right) \log ^2(8+x)} \, dx","Integrate[(-20000*x^2 - 2500*x^3 + E*(800 + 96*x) + E^(3*x)*(-640*x^2 - 80*x^3) + E^(4*x)*(-32*x^2 - 4*x^3) + E^(2*x)*(-4800*x^2 - 600*x^3 + E*(32 + 68*x + 8*x^2)) + E^x*(-16000*x^2 - 2000*x^3 + E*(320 + 360*x + 40*x^2)) + (E*(-32 - 4*x) + 1600*x^2 + 200*x^3 + E^(2*x)*(64*x^2 + 8*x^3) + E^x*(640*x^2 + 80*x^3))*Log[8 + x] + (-32*x^2 - 4*x^3)*Log[8 + x]^2)/(5000*x^4 + 625*x^5 + E^2*(8 + x) + E*(400*x^2 + 50*x^3) + E^(4*x)*(8*x^4 + x^5) + E^(3*x)*(160*x^4 + 20*x^5) + E^(2*x)*(1200*x^4 + 150*x^5 + E*(16*x^2 + 2*x^3)) + E^x*(4000*x^4 + 500*x^5 + E*(160*x^2 + 20*x^3)) + (-400*x^4 - 50*x^5 + E*(-16*x^2 - 2*x^3) + E^x*(-160*x^4 - 20*x^5) + E^(2*x)*(-16*x^4 - 2*x^5))*Log[8 + x] + (8*x^4 + x^5)*Log[8 + x]^2),x]","-4 \left(-\frac{e}{x \left(-10 e^x x^2-e^{2 x} x^2-25 x^2+x^2 \log (x+8)-e\right)}-\frac{1}{x}\right)","\frac{4 x}{x^2+\frac{e}{\left(e^x+5\right)^2-\log (x+8)}}",1,"-4*(-x^(-1) - E/(x*(-E - 25*x^2 - 10*E^x*x^2 - E^(2*x)*x^2 + x^2*Log[8 + x])))","A",1
8142,1,15,15,0.0038977,"\int \frac{1}{324} \left(100 x^4 \log \left(4 x^2\right)+125 x^4 \log ^2\left(4 x^2\right)\right) \, dx","Integrate[(100*x^4*Log[4*x^2] + 125*x^4*Log[4*x^2]^2)/324,x]","\frac{25}{324} x^5 \log ^2\left(4 x^2\right)","\frac{25}{324} x^5 \log ^2\left(4 x^2\right)",1,"(25*x^5*Log[4*x^2]^2)/324","A",1
8143,1,265,31,0.3780971,"\int \frac{-192 x^6-96 x^7+e^5 \left(-192 x^3-240 x^4-72 x^5-48 x^6-24 x^7\right)+\left(-96 x^6+e^5 \left(-192 x^3-120 x^4-24 x^6\right)\right) \log (3)-48 e^5 x^3 \log ^2(3)+e^{x/4} \left(80 x^6+48 x^7+4 x^8+e^5 \left(64 x^3+84 x^4+28 x^5+21 x^6+12 x^7+x^8\right)+\left(48 x^6+8 x^7+e^5 \left(64 x^3+44 x^4+2 x^5+12 x^6+2 x^7\right)\right) \log (3)+\left(4 x^6+e^5 \left(16 x^3+x^4+x^6\right)\right) \log ^2(3)\right)}{256 x^6+e^{15} \left(4+12 x^2+12 x^4+4 x^6\right)+e^{10} \left(48 x^2+96 x^4+48 x^6\right)+e^5 \left(192 x^4+192 x^6\right)} \, dx","Integrate[(-192*x^6 - 96*x^7 + E^5*(-192*x^3 - 240*x^4 - 72*x^5 - 48*x^6 - 24*x^7) + (-96*x^6 + E^5*(-192*x^3 - 120*x^4 - 24*x^6))*Log[3] - 48*E^5*x^3*Log[3]^2 + E^(x/4)*(80*x^6 + 48*x^7 + 4*x^8 + E^5*(64*x^3 + 84*x^4 + 28*x^5 + 21*x^6 + 12*x^7 + x^8) + (48*x^6 + 8*x^7 + E^5*(64*x^3 + 44*x^4 + 2*x^5 + 12*x^6 + 2*x^7))*Log[3] + (4*x^6 + E^5*(16*x^3 + x^4 + x^6))*Log[3]^2))/(256*x^6 + E^15*(4 + 12*x^2 + 12*x^4 + 4*x^6) + E^10*(48*x^2 + 96*x^4 + 48*x^6) + E^5*(192*x^4 + 192*x^6)),x]","\frac{-768 x^5 (x+4+\log (9))+192 e^{\frac{x}{4}+5} x^4 (x+2+\log (3))^2+48 e^{\frac{x}{4}+10} x^4 (x+2+\log (3))^2+4 e^{\frac{x}{4}+15} x^4 (x+2+\log (3))^2+256 e^{x/4} x^4 (x+2+\log (3))^2-48 e^5 x^2 \left(12 x^4+x^3 (48+\log (282429536481))+8 x^2-2 (16+\log (43046721))-\log (9) \log (81)\right)-3 e^{15} \left(4 x^6+x^5 (16+\log (6561))+8 x^4-x^2 (\log (9) \log (81)+2 (8+\log (43046721)))-\log ^2(9)-2 (4+\log (6561))\right)-12 e^{10} \left(12 x^6+x^5 (48+\log (282429536481))+16 x^4-x^2 (48+\log (9) \log (6561)+2 \log (1853020188851841))-\log ^2(9)-2 (8+\log (6561))\right)}{4 \left(4+e^5\right)^3 \left(4 x^2+e^5 \left(x^2+1\right)\right)^2}","\frac{\left(e^{x/4}-3\right) (x+2+\log (3))^2}{\left(\frac{e^5}{x^2}+e^5+4\right)^2}",1,"(192*E^(5 + x/4)*x^4*(2 + x + Log[3])^2 + 48*E^(10 + x/4)*x^4*(2 + x + Log[3])^2 + 4*E^(15 + x/4)*x^4*(2 + x + Log[3])^2 + 256*E^(x/4)*x^4*(2 + x + Log[3])^2 - 768*x^5*(4 + x + Log[9]) - 3*E^15*(8*x^4 + 4*x^6 - Log[9]^2 - 2*(4 + Log[6561]) + x^5*(16 + Log[6561]) - x^2*(Log[9]*Log[81] + 2*(8 + Log[43046721]))) - 48*E^5*x^2*(8*x^2 + 12*x^4 - Log[9]*Log[81] - 2*(16 + Log[43046721]) + x^3*(48 + Log[282429536481])) - 12*E^10*(16*x^4 + 12*x^6 - Log[9]^2 - 2*(8 + Log[6561]) + x^5*(48 + Log[282429536481]) - x^2*(48 + Log[9]*Log[6561] + 2*Log[1853020188851841])))/(4*(4 + E^5)^3*(4*x^2 + E^5*(1 + x^2))^2)","B",0
8144,1,38,29,0.1920747,"\int \frac{45 e^5+x^2+\left(-45 e^5+2 x^2\right) \log (2)+x^2 \log ^2(2)+\left(90 e^5-4 x^2-4 x^2 \log (2)\right) \log (x)+4 x^2 \log ^2(x)}{9 x^2+18 x^2 \log (2)+9 x^2 \log ^2(2)+\left(-36 x^2-36 x^2 \log (2)\right) \log (x)+36 x^2 \log ^2(x)} \, dx","Integrate[(45*E^5 + x^2 + (-45*E^5 + 2*x^2)*Log[2] + x^2*Log[2]^2 + (90*E^5 - 4*x^2 - 4*x^2*Log[2])*Log[x] + 4*x^2*Log[x]^2)/(9*x^2 + 18*x^2*Log[2] + 9*x^2*Log[2]^2 + (-36*x^2 - 36*x^2*Log[2])*Log[x] + 36*x^2*Log[x]^2),x]","\frac{-4 x^2 \log (x)+x^2 (2+\log (4))+90 e^5}{18 x (-2 \log (x)+1+\log (2))}","\frac{1}{9} (x-\log (3))+\frac{5 e^5}{x (-2 \log (x)+1+\log (2))}",1,"(90*E^5 + x^2*(2 + Log[4]) - 4*x^2*Log[x])/(18*x*(1 + Log[2] - 2*Log[x]))","A",1
8145,1,20,21,0.1148689,"\int \frac{-20+8 x+19 x^2-9 x^3+\left(-8 x-38 x^2+27 x^3\right) \log (x)}{x \log ^2(x)} \, dx","Integrate[(-20 + 8*x + 19*x^2 - 9*x^3 + (-8*x - 38*x^2 + 27*x^3)*Log[x])/(x*Log[x]^2),x]","\frac{9 x^3-19 x^2-8 x+20}{\log (x)}","\frac{5 \left(2-\frac{9 x}{5}\right) \left(-x^2+x+2\right)}{\log (x)}",1,"(20 - 8*x - 19*x^2 + 9*x^3)/Log[x]","A",1
8146,1,29,25,0.0257914,"\int \frac{-3 x-\log (4)+3 x \log (3 x \log (3))+\left(2 x^2-3 x^3\right) \log ^2(3 x \log (3))}{x \log ^2(3 x \log (3))} \, dx","Integrate[(-3*x - Log[4] + 3*x*Log[3*x*Log[3]] + (2*x^2 - 3*x^3)*Log[3*x*Log[3]]^2)/(x*Log[3*x*Log[3]]^2),x]","-x^3+x^2+\frac{3 x}{\log (x \log (27))}+\frac{\log (4)}{\log (x \log (27))}","-x^3+x^2+\frac{3 x+\log (4)}{\log (3 x \log (3))}-4",1,"x^2 - x^3 + (3*x)/Log[x*Log[27]] + Log[4]/Log[x*Log[27]]","A",1
8147,1,46,27,0.0977297,"\int \frac{2 e^{5 x^6} x-10 e^{4 x^6} x^2-242 x^6+220 e^2 x^6-50 e^4 x^6+e^{3 x^6} \left(100 x^3-240 x^9+e^2 \left(-40 x^3+120 x^9\right)\right)+e^{2 x^6} \left(-220 x^4+480 x^{10}+e^2 \left(100 x^4-240 x^{10}\right)\right)+e^{x^6} \left(770 x^5-2640 x^{11}+e^4 \left(150 x^5-600 x^{11}\right)+e^2 \left(-680 x^5+2520 x^{11}\right)\right)}{e^{5 x^6}-5 e^{4 x^6} x+10 e^{3 x^6} x^2-10 e^{2 x^6} x^3+5 e^{x^6} x^4-x^5} \, dx","Integrate[(2*E^(5*x^6)*x - 10*E^(4*x^6)*x^2 - 242*x^6 + 220*E^2*x^6 - 50*E^4*x^6 + E^(3*x^6)*(100*x^3 - 240*x^9 + E^2*(-40*x^3 + 120*x^9)) + E^(2*x^6)*(-220*x^4 + 480*x^10 + E^2*(100*x^4 - 240*x^10)) + E^x^6*(770*x^5 - 2640*x^11 + E^4*(150*x^5 - 600*x^11) + E^2*(-680*x^5 + 2520*x^11)))/(E^(5*x^6) - 5*E^(4*x^6)*x + 10*E^(3*x^6)*x^2 - 10*E^(2*x^6)*x^3 + 5*E^x^6*x^4 - x^5),x]","\frac{x^2 \left(-2 e^{x^6} x+e^{2 x^6}-5 e^2 x^2+11 x^2\right)^2}{\left(e^{x^6}-x\right)^4}","\left(\frac{5 \left(2-e^2\right) x^3}{\left(x-e^{x^6}\right)^2}+x\right)^2",1,"(x^2*(E^(2*x^6) - 2*E^x^6*x + 11*x^2 - 5*E^2*x^2)^2)/(E^x^6 - x)^4","A",1
8148,1,26,32,0.124692,"\int \frac{3+7 x+11 x^2+15 x^3+7 x^4+x^5+e^8 \left(-3-5 x-2 x^2\right)+\left(-3-5 x-2 x^2\right) \log \left(x+x^2\right)}{9 x^2+15 x^3+7 x^4+x^5} \, dx","Integrate[(3 + 7*x + 11*x^2 + 15*x^3 + 7*x^4 + x^5 + E^8*(-3 - 5*x - 2*x^2) + (-3 - 5*x - 2*x^2)*Log[x + x^2])/(9*x^2 + 15*x^3 + 7*x^4 + x^5),x]","\frac{(x+3) x^2+\log (x (x+1))+e^8}{x (x+3)}","-\frac{\log \left(x^2+x\right)}{x-x (x+4)}+x+\frac{e^8}{(x+3) x}",1,"(E^8 + x^2*(3 + x) + Log[x*(1 + x)])/(x*(3 + x))","A",1
8149,1,25,28,0.0774547,"\int \frac{1}{45} e^{-4/x} \left(e^{4/x} (1+2 x)-2 x^2 \log (x)+\left(-4 x-3 x^2\right) \log ^2(x)\right) \, dx","Integrate[(E^(4/x)*(1 + 2*x) - 2*x^2*Log[x] + (-4*x - 3*x^2)*Log[x]^2)/(45*E^(4/x)),x]","\frac{1}{45} \left(-e^{-4/x} x^3 \log ^2(x)+x^2+x\right)","\frac{1}{45} x \left(-e^{-4/x} x^2 \log ^2(x)+x+1\right)+\frac{25}{4}",1,"(x + x^2 - (x^3*Log[x]^2)/E^(4/x))/45","A",1
8150,1,16,20,0.0092018,"\int -\frac{5 e^{390622+\frac{x}{4}}}{4+20 e^{390622+\frac{x}{4}}} \, dx","Integrate[(-5*E^(390622 + x/4))/(4 + 20*E^(390622 + x/4)),x]","-\log \left(5 e^{\frac{x}{4}+390622}+1\right)","5-\log \left(e^{x/4}+\frac{1}{5 e^{390622}}\right)",1,"-Log[1 + 5*E^(390622 + x/4)]","A",1
8151,1,28,24,0.1224941,"\int \frac{9 x-3 x^4+\left(3-x^3\right) \log (16)+\left(-9+3 x^3\right) \log \left(3-x^3\right)+\left(-9 x-9 x^3+3 x^4\right) \log (x) \log \left(\frac{1}{\log (x)}\right)}{\left(-9 x+3 x^4\right) \log (x)} \, dx","Integrate[(9*x - 3*x^4 + (3 - x^3)*Log[16] + (-9 + 3*x^3)*Log[3 - x^3] + (-9*x - 9*x^3 + 3*x^4)*Log[x]*Log[Log[x]^(-1)])/((-9*x + 3*x^4)*Log[x]),x]","\left(x-\log \left(3-x^3\right)\right) \log \left(\frac{1}{\log (x)}\right)-\frac{1}{3} \log (16) \log (\log (x))","\left(-\log \left(3-x^3\right)+x+\frac{\log (16)}{3}\right) \log \left(\frac{1}{\log (x)}\right)",1,"(x - Log[3 - x^3])*Log[Log[x]^(-1)] - (Log[16]*Log[Log[x]])/3","A",1
8152,1,25,33,0.6161724,"\int \frac{\exp \left(\frac{45 x-8 x^3+\left(-24+4 x^2\right) \log (4)}{-24+4 x^2}\right) \left(126-270 x-51 x^2+99 x^3+4 x^4-8 x^5\right)}{288-576 x+192 x^2+192 x^3-88 x^4-16 x^5+8 x^6} \, dx","Integrate[(E^((45*x - 8*x^3 + (-24 + 4*x^2)*Log[4])/(-24 + 4*x^2))*(126 - 270*x - 51*x^2 + 99*x^3 + 4*x^4 - 8*x^5))/(288 - 576*x + 192*x^2 + 192*x^3 - 88*x^4 - 16*x^5 + 8*x^6),x]","\frac{2 e^{-x \left(\frac{3}{4 \left(x^2-6\right)}+2\right)}}{x-1}","\frac{4 e^{-\frac{x}{4 \left(\frac{x^2}{3}-2\right)}-2 x}}{2 x-2}+1",1,"2/(E^(x*(2 + 3/(4*(-6 + x^2))))*(-1 + x))","A",1
8153,1,11,22,0.0051086,"\int \frac{e^{-\frac{2}{e^4}}}{x \log (x)} \, dx","Integrate[1/(E^(2/E^4)*x*Log[x]),x]","e^{-\frac{2}{e^4}} \log (\log (x))","e^{-\frac{2}{e^4}} \log \left(\frac{\log (x)}{\left(-\frac{13}{4}-\log (2)\right)^2}\right)",1,"Log[Log[x]]/E^(2/E^4)","A",1
8154,1,32,32,0.2707673,"\int \frac{e^{2-2 x+\frac{1-x^2}{x}} \left(1+2 x+3 x^2\right)+e^{\frac{1-x^2}{x}} \left(-12 x^2-12 x^4+e^2 \left(-3 x^2-3 x^4\right)\right)}{x^4} \, dx","Integrate[(E^(2 - 2*x + (1 - x^2)/x)*(1 + 2*x + 3*x^2) + E^((1 - x^2)/x)*(-12*x^2 - 12*x^4 + E^2*(-3*x^2 - 3*x^4)))/x^4,x]","3 \left(4+e^2\right) e^{\frac{1}{x}-x}-\frac{e^{-3 x+\frac{1}{x}+2}}{x^2}","e^{\frac{1}{x}-x} \left(3 \left(4+e^2\right)-\frac{e^{2-2 x}}{x^2}\right)+5",1,"3*E^(x^(-1) - x)*(4 + E^2) - E^(2 + x^(-1) - 3*x)/x^2","A",1
8155,1,27,22,0.00008,"\int \frac{e^5-\log (10 \log (4))}{5 \log (6)} \, dx","Integrate[(E^5 - Log[10*Log[4]])/(5*Log[6]),x]","\frac{e^5 x}{5 \log (6)}-\frac{x \log (10 \log (4))}{5 \log (6)}","\frac{x \left(e^5-\log (10 \log (4))\right)}{5 \log (6)}+1",1,"(E^5*x)/(5*Log[6]) - (x*Log[10*Log[4]])/(5*Log[6])","A",1
8156,1,72,30,0.1117869,"\int \frac{-64 e^6+224 e^4 x-243 e^2 x^2+81 x^3+e^{2 e^x} \left(-4 e^6+12 e^4 x-12 e^2 x^2+4 x^3+e^x \left(-8 e^6 x+24 e^4 x^2-24 e^2 x^3+8 x^4\right)\right)+e^{e^x} \left(-32 e^6+104 e^4 x-108 e^2 x^2+36 x^3+e^x \left(-32 e^6 x+100 e^4 x^2-104 e^2 x^3+36 x^4\right)\right)}{4 e^6-12 e^4 x+12 e^2 x^2-4 x^3} \, dx","Integrate[(-64*E^6 + 224*E^4*x - 243*E^2*x^2 + 81*x^3 + E^(2*E^x)*(-4*E^6 + 12*E^4*x - 12*E^2*x^2 + 4*x^3 + E^x*(-8*E^6*x + 24*E^4*x^2 - 24*E^2*x^3 + 8*x^4)) + E^E^x*(-32*E^6 + 104*E^4*x - 108*E^2*x^2 + 36*x^3 + E^x*(-32*E^6*x + 100*E^4*x^2 - 104*E^2*x^3 + 36*x^4)))/(4*E^6 - 12*E^4*x + 12*E^2*x^2 - 4*x^3),x]","\frac{1}{4} \left(-4 e^{2 e^x} x-\frac{4 e^{e^x} \left(8 e^2-9 x\right) x}{e^2-x}-81 x-\frac{19 e^4}{x-e^2}-\frac{e^6}{\left(e^2-x\right)^2}\right)","\frac{70}{9}-x \left(\frac{x}{2 \left(x-e^2\right)}+e^{e^x}+4\right)^2",1,"(-(E^6/(E^2 - x)^2) - 81*x - 4*E^(2*E^x)*x - (4*E^E^x*(8*E^2 - 9*x)*x)/(E^2 - x) - (19*E^4)/(-E^2 + x))/4","B",1
8157,1,25,23,0.0516611,"\int \frac{e^{-x} \left(4+4 x-2 x^2+9 e^x x^2\right)}{45 x^2} \, dx","Integrate[(4 + 4*x - 2*x^2 + 9*E^x*x^2)/(45*E^x*x^2),x]","\frac{1}{45} \left(9 x+2 e^{-x}-\frac{4 e^{-x}}{x}\right)","\frac{1}{5} \left(x+\frac{e^{-x} (2 x-4)}{9 x}\right)",1,"(2/E^x - 4/(E^x*x) + 9*x)/45","A",1
8158,1,72,29,0.9297816,"\int \frac{3 x+4 e^x \left(-20 x+5 x^2\right)+(-12+4 x) \log (2)+e^x \left(16 x-4 x^2\right) \log (2)-4 x \log (2) \log (x)}{400 e^{2 x} x+x^3+8 e^x x^2 \log (2)+16 e^{2 x} x \log ^2(2)+4 e^x \left(-10 x^2-40 e^x x \log (2)\right)+\left(160 e^x x \log (2)-8 x^2 \log (2)-32 e^x x \log ^2(2)\right) \log (x)+16 x \log ^2(2) \log ^2(x)} \, dx","Integrate[(3*x + 4*E^x*(-20*x + 5*x^2) + (-12 + 4*x)*Log[2] + E^x*(16*x - 4*x^2)*Log[2] - 4*x*Log[2]*Log[x])/(400*E^(2*x)*x + x^3 + 8*E^x*x^2*Log[2] + 16*E^(2*x)*x*Log[2]^2 + 4*E^x*(-10*x^2 - 40*E^x*x*Log[2]) + (160*E^x*x*Log[2] - 8*x^2*Log[2] - 32*E^x*x*Log[2]^2)*Log[x] + 16*x*Log[2]^2*Log[x]^2),x]","\frac{x^2 \left(4 e^x (\log (2)-5)+1\right)-x \left(12 e^x (\log (2)-5)+3+\log (16)\right)+\log (4096)}{\left(x+4 e^x x (\log (2)-5)-4 \log (2)\right) \left(x-4 \log (2) \log (x)+4 e^x (\log (2)-5)\right)}","\frac{3-x}{-x+20 e^x-4 \log (2) \left(e^x-\log (x)\right)}",1,"(x^2*(1 + 4*E^x*(-5 + Log[2])) - x*(3 + 12*E^x*(-5 + Log[2]) + Log[16]) + Log[4096])/((x + 4*E^x*x*(-5 + Log[2]) - 4*Log[2])*(x + 4*E^x*(-5 + Log[2]) - 4*Log[2]*Log[x]))","B",1
8159,1,74,25,0.0100503,"\int \frac{45-52 x+19 x^2+38 x^3-8 x^4+\left(-9+39 x+12 x^2-12 x^3\right) \log (x)+\left(-6 x-4 x^2\right) \log ^2(x)}{2 x} \, dx","Integrate[(45 - 52*x + 19*x^2 + 38*x^3 - 8*x^4 + (-9 + 39*x + 12*x^2 - 12*x^3)*Log[x] + (-6*x - 4*x^2)*Log[x]^2)/(2*x),x]","-x^4+7 x^3-2 x^3 \log (x)+\frac{11 x^2}{4}-x^2 \log ^2(x)+4 x^2 \log (x)-\frac{103 x}{2}-3 x \log ^2(x)-\frac{9 \log ^2(x)}{4}+\frac{51}{2} x \log (x)+\frac{45 \log (x)}{2}","x-\left(\frac{1}{2} (3-2 x)-3\right)^2 (x+\log (x)-5)^2+3",1,"(-103*x)/2 + (11*x^2)/4 + 7*x^3 - x^4 + (45*Log[x])/2 + (51*x*Log[x])/2 + 4*x^2*Log[x] - 2*x^3*Log[x] - (9*Log[x]^2)/4 - 3*x*Log[x]^2 - x^2*Log[x]^2","B",1
8160,1,31,30,0.0483451,"\int \frac{-144+24 x-72 x^2-72 x^3+\left(72-12 x+36 x^2\right) \log (4)+\left(-144-96 x+48 x^2+(72-24 x) \log (4)\right) \log \left(\frac{2+2 x-\log (4)}{x}\right)}{-18 x^2-6 x^3+10 x^4-2 x^5+\left(9 x^2-6 x^3+x^4\right) \log (4)+\left(-12 x-8 x^2+4 x^3+\left(6 x-2 x^2\right) \log (4)\right) \log \left(\frac{2+2 x-\log (4)}{x}\right)+(-2-2 x+\log (4)) \log ^2\left(\frac{2+2 x-\log (4)}{x}\right)} \, dx","Integrate[(-144 + 24*x - 72*x^2 - 72*x^3 + (72 - 12*x + 36*x^2)*Log[4] + (-144 - 96*x + 48*x^2 + (72 - 24*x)*Log[4])*Log[(2 + 2*x - Log[4])/x])/(-18*x^2 - 6*x^3 + 10*x^4 - 2*x^5 + (9*x^2 - 6*x^3 + x^4)*Log[4] + (-12*x - 8*x^2 + 4*x^3 + (6*x - 2*x^2)*Log[4])*Log[(2 + 2*x - Log[4])/x] + (-2 - 2*x + Log[4])*Log[(2 + 2*x - Log[4])/x]^2),x]","-\frac{12 (x-6) x}{-x^2+3 x+\log \left(\frac{2 x+2-\log (4)}{x}\right)}","\frac{12 (x-6)}{x-\frac{\log \left(\frac{2}{x}-\frac{\log (4)}{x}+2\right)}{x}-3}",1,"(-12*(-6 + x)*x)/(3*x - x^2 + Log[(2 + 2*x - Log[4])/x])","A",1
8161,1,29,28,0.0328703,"\int \frac{-57 x^2+18 x^3-3 x^4+e \left(36-24 x+4 x^2\right)+e^{1+x} \left(18-30 x+14 x^2-2 x^3\right)}{18 x^2-12 x^3+2 x^4} \, dx","Integrate[(-57*x^2 + 18*x^3 - 3*x^4 + E*(36 - 24*x + 4*x^2) + E^(1 + x)*(18 - 30*x + 14*x^2 - 2*x^3))/(18*x^2 - 12*x^3 + 2*x^4),x]","-\frac{3 x}{2}+\frac{15}{x-3}-\frac{e^{x+1}}{x}-\frac{2 e}{x}","-\frac{e \left(e^x+2\right)}{x}+\frac{5 x}{x-3}-\frac{3 (x+1)}{2}+2",1,"15/(-3 + x) - (2*E)/x - E^(1 + x)/x - (3*x)/2","A",1
8162,1,18,22,0.1696359,"\int \frac{144 x+12 x^2+4 e^2 x^2+\left(-12 x^2-4 e^2 x^2\right) \log (x)}{324+\left(-108 x-36 e^2 x\right) \log (x)+\left(9 x^2+6 e^2 x^2+e^4 x^2\right) \log ^2(x)} \, dx","Integrate[(144*x + 12*x^2 + 4*E^2*x^2 + (-12*x^2 - 4*E^2*x^2)*Log[x])/(324 + (-108*x - 36*E^2*x)*Log[x] + (9*x^2 + 6*E^2*x^2 + E^4*x^2)*Log[x]^2),x]","-\frac{4 x^2}{\left(3+e^2\right) x \log (x)-18}","\frac{x^2}{\frac{9}{2}-\frac{1}{4} \left(3+e^2\right) x \log (x)}",1,"(-4*x^2)/(-18 + (3 + E^2)*x*Log[x])","A",1
8163,1,58,22,0.0126652,"\int \frac{16777216+16809984 x+7364624 x^2+1842184 x^3+287745 x^4+28744 x^5+1794 x^6+64 x^7+x^8+\left(-33554432-16809984 x+1842184 x^3+575490 x^4+86232 x^5+7176 x^6+320 x^7+6 x^8\right) \log (x)}{x^3} \, dx","Integrate[(16777216 + 16809984*x + 7364624*x^2 + 1842184*x^3 + 287745*x^4 + 28744*x^5 + 1794*x^6 + 64*x^7 + x^8 + (-33554432 - 16809984*x + 1842184*x^3 + 575490*x^4 + 86232*x^5 + 7176*x^6 + 320*x^7 + 6*x^8)*Log[x])/x^3,x]","x^6 \log (x)+64 x^5 \log (x)+1794 x^4 \log (x)+28744 x^3 \log (x)+287745 x^2 \log (x)+\frac{16777216 \log (x)}{x^2}+1842184 x \log (x)+7364624 \log (x)+\frac{16809984 \log (x)}{x}","\left(\frac{(-x-8)^4}{x}+x+4\right)^2 \log (x)+\log (2)",1,"7364624*Log[x] + (16777216*Log[x])/x^2 + (16809984*Log[x])/x + 1842184*x*Log[x] + 287745*x^2*Log[x] + 28744*x^3*Log[x] + 1794*x^4*Log[x] + 64*x^5*Log[x] + x^6*Log[x]","B",1
8164,1,20,23,0.024843,"\int \frac{-15-5 x^2-10 x^3+\left(3 x+4 x^2-x^3-x^4\right) \log ^2\left(\frac{-3-4 x+x^2+x^3}{x}\right)}{\left(-3 x-4 x^2+x^3+x^4\right) \log ^2\left(\frac{-3-4 x+x^2+x^3}{x}\right)} \, dx","Integrate[(-15 - 5*x^2 - 10*x^3 + (3*x + 4*x^2 - x^3 - x^4)*Log[(-3 - 4*x + x^2 + x^3)/x]^2)/((-3*x - 4*x^2 + x^3 + x^4)*Log[(-3 - 4*x + x^2 + x^3)/x]^2),x]","\frac{5}{\log \left(x^2+x-\frac{3}{x}-4\right)}-x","\frac{5}{\log \left(x^2+x-\frac{3}{x}-4\right)}-x+\frac{13}{4}",1,"-x + 5/Log[-4 - 3/x + x + x^2]","A",1
8165,1,20,14,0.0033948,"\int \frac{1}{2} \left(2 e^{4/3} x+3 x^2\right) \, dx","Integrate[(2*E^(4/3)*x + 3*x^2)/2,x]","\frac{x^3}{2}+\frac{1}{2} e^{4/3} x^2","\frac{1}{2} x^2 \left(x+e^{4/3}\right)",1,"(E^(4/3)*x^2)/2 + x^3/2","A",1
8166,1,31,29,0.6816317,"\int \frac{e^{5+x} (4-4 \log (x-\log (x))) \left(5-6 x+x^3+\left(4 x^2-3 x^3-x^4+\left(-4 x+3 x^2+x^3\right) \log (x)\right) \log (x-\log (x))+\left(-4 x^2+3 x^3+x^4+\left(4 x-3 x^2-x^3\right) \log (x)\right) \log ^2(x-\log (x))\right)}{\log (x-\log (x)) \left(\left(x^2-x \log (x)\right) \log (x-\log (x))+\left(-x^2+x \log (x)\right) \log ^2(x-\log (x))\right)} \, dx","Integrate[(E^(5 + x)*(4 - 4*Log[x - Log[x]])*(5 - 6*x + x^3 + (4*x^2 - 3*x^3 - x^4 + (-4*x + 3*x^2 + x^3)*Log[x])*Log[x - Log[x]] + (-4*x^2 + 3*x^3 + x^4 + (4*x - 3*x^2 - x^3)*Log[x])*Log[x - Log[x]]^2))/(Log[x - Log[x]]*((x^2 - x*Log[x])*Log[x - Log[x]] + (-x^2 + x*Log[x])*Log[x - Log[x]]^2)),x]","\frac{4 e^{x+5} \left(x^2+x-5\right) (\log (x-\log (x))-1)}{\log (x-\log (x))}","e^{x+5} \left(-x^2-x+5\right) \left(\frac{4}{\log (x-\log (x))}-4\right)",1,"(4*E^(5 + x)*(-5 + x + x^2)*(-1 + Log[x - Log[x]]))/Log[x - Log[x]]","A",1
8167,1,22,23,0.2258276,"\int \frac{-1-4 x-64 e^{2 x+\frac{8 e^{2 x}}{2+4 x}} x-4 x^2}{1+4 x+4 x^2} \, dx","Integrate[(-1 - 4*x - 64*E^(2*x + (8*E^(2*x))/(2 + 4*x))*x - 4*x^2)/(1 + 4*x + 4*x^2),x]","-x-4 e^{\frac{4 e^{2 x}}{2 x+1}}","-x-4 e^{\frac{8 e^{2 x}}{4 x+2}}+2",1,"-4*E^((4*E^(2*x))/(1 + 2*x)) - x","A",1
8168,1,28,22,0.0452567,"\int \frac{(-6 x+3 \log (4)) \log \left(\frac{x}{2}\right)+\left(-2 x^2+x \log (4)\right) \log ^2\left(\frac{x}{2}\right)+\left(3 x-3 \log (4)+\left(-x^2+x \log (4)\right) \log ^2\left(\frac{x}{2}\right)\right) \log \left(-x^2+x \log (4)\right)}{\left(-x^2+x \log (4)\right) \log ^2\left(\frac{x}{2}\right)} \, dx","Integrate[((-6*x + 3*Log[4])*Log[x/2] + (-2*x^2 + x*Log[4])*Log[x/2]^2 + (3*x - 3*Log[4] + (-x^2 + x*Log[4])*Log[x/2]^2)*Log[-x^2 + x*Log[4]])/((-x^2 + x*Log[4])*Log[x/2]^2),x]","\frac{\left(x \log \left(\frac{x}{2}\right)+3\right) \log (x (\log (4)-x))}{\log \left(\frac{x}{2}\right)}","\left(x+\frac{3}{\log \left(\frac{x}{2}\right)}\right) \log (x (\log (4)-x))",1,"((3 + x*Log[x/2])*Log[x*(-x + Log[4])])/Log[x/2]","A",1
8169,0,0,32,0.4995569,"\int \frac{e^{-e^{\frac{-4-x+6 x^2-5 x^3}{x}}} \left(-x+e^{e^{\frac{-4-x+6 x^2-5 x^3}{x}}} x+e^{\frac{-4-x+6 x^2-5 x^3}{x}} \left(4+6 x^2-10 x^3\right)\right)}{x} \, dx","Integrate[(-x + E^E^((-4 - x + 6*x^2 - 5*x^3)/x)*x + E^((-4 - x + 6*x^2 - 5*x^3)/x)*(4 + 6*x^2 - 10*x^3))/(E^E^((-4 - x + 6*x^2 - 5*x^3)/x)*x),x]","\int \frac{e^{-e^{\frac{-4-x+6 x^2-5 x^3}{x}}} \left(-x+e^{e^{\frac{-4-x+6 x^2-5 x^3}{x}}} x+e^{\frac{-4-x+6 x^2-5 x^3}{x}} \left(4+6 x^2-10 x^3\right)\right)}{x} \, dx","x-e^{-e^{\frac{(5-5 x) x^2+x^2-x-4}{x}}} x",1,"Integrate[(-x + E^E^((-4 - x + 6*x^2 - 5*x^3)/x)*x + E^((-4 - x + 6*x^2 - 5*x^3)/x)*(4 + 6*x^2 - 10*x^3))/(E^E^((-4 - x + 6*x^2 - 5*x^3)/x)*x), x]","F",-1
8170,1,21,16,0.0429485,"\int \frac{e^{-2/x} \left(x+x^2+e^{\frac{1}{x}} (6+6 x)\right)}{18 x} \, dx","Integrate[(x + x^2 + E^x^(-1)*(6 + 6*x))/(18*E^(2/x)*x),x]","\frac{1}{36} e^{-2/x} x \left(x+12 e^{\frac{1}{x}}\right)","\left(\frac{1}{6} e^{-1/x} x+1\right)^2",1,"(x*(12*E^x^(-1) + x))/(36*E^(2/x))","A",1
8171,1,41,20,0.0287625,"\int \frac{e^4 \left(1+2592 x-864 x^2+64 x^3\right)+e^2 \left(576 x-96 x^2\right) \log (5)+32 x \log ^2(5)}{e^4} \, dx","Integrate[(E^4*(1 + 2592*x - 864*x^2 + 64*x^3) + E^2*(576*x - 96*x^2)*Log[5] + 32*x*Log[5]^2)/E^4,x]","16 x^4-\frac{32 x^3 \left(9 e^2+\log (5)\right)}{e^2}+\frac{16 x^2 \left(9 e^2+\log (5)\right)^2}{e^4}+x","16 x^2 \left(x-9-\frac{\log (5)}{e^2}\right)^2+x-1",1,"x + 16*x^4 - (32*x^3*(9*E^2 + Log[5]))/E^2 + (16*x^2*(9*E^2 + Log[5])^2)/E^4","B",1
8172,1,17,19,0.0518264,"\int \frac{e^{5-x} \left(80+52 x+12 x^2\right)}{x^3} \, dx","Integrate[(E^(5 - x)*(80 + 52*x + 12*x^2))/x^3,x]","-\frac{4 e^{5-x} (3 x+10)}{x^2}","\frac{4 e^{5-x} \left(-\frac{10}{x}-3\right)}{x}",1,"(-4*E^(5 - x)*(10 + 3*x))/x^2","A",1
8173,1,34,27,0.0913484,"\int \frac{\left(-x-16 e x^2-64 x^4\right) \log (x)+\left(-e^2-x-8 e x^2-16 x^4+\left(e^2+x+8 e x^2+16 x^4\right) \log (x)\right) \log \left(e^2+x+8 e x^2+16 x^4\right)+\left(e^2+x+8 e x^2+16 x^4+\left(-e^2-x-8 e x^2-16 x^4\right) \log (x)+\left(e^2+x+8 e x^2+16 x^4\right) \log ^2(x)\right) \log ^2\left(e^2+x+8 e x^2+16 x^4\right)}{\left(e^2+x+8 e x^2+16 x^4\right) \log ^2(x) \log ^2\left(e^2+x+8 e x^2+16 x^4\right)} \, dx","Integrate[((-x - 16*E*x^2 - 64*x^4)*Log[x] + (-E^2 - x - 8*E*x^2 - 16*x^4 + (E^2 + x + 8*E*x^2 + 16*x^4)*Log[x])*Log[E^2 + x + 8*E*x^2 + 16*x^4] + (E^2 + x + 8*E*x^2 + 16*x^4 + (-E^2 - x - 8*E*x^2 - 16*x^4)*Log[x] + (E^2 + x + 8*E*x^2 + 16*x^4)*Log[x]^2)*Log[E^2 + x + 8*E*x^2 + 16*x^4]^2)/((E^2 + x + 8*E*x^2 + 16*x^4)*Log[x]^2*Log[E^2 + x + 8*E*x^2 + 16*x^4]^2),x]","\frac{x}{\log (x) \log \left(16 x^4+8 e x^2+x+e^2\right)}+x-\frac{x}{\log (x)}","\frac{\frac{x}{\log \left(\left(4 x^2+e\right)^2+x\right)}-x}{\log (x)}+x",1,"x - x/Log[x] + x/(Log[x]*Log[E^2 + x + 8*E*x^2 + 16*x^4])","A",1
8174,1,23,23,0.796401,"\int \frac{1}{4} e^{e^x-x} \left(-3 x^2+2 x^3+\left(-9 x^2+11 x^3-2 x^4+e^x \left(-3 x^3+2 x^4\right)\right) \log (x)\right) \, dx","Integrate[(E^(E^x - x)*(-3*x^2 + 2*x^3 + (-9*x^2 + 11*x^3 - 2*x^4 + E^x*(-3*x^3 + 2*x^4))*Log[x]))/4,x]","\frac{1}{4} e^{e^x-x} x^3 (2 x-3) \log (x)","\frac{1}{2} e^{e^x-x} \left(x-\frac{3}{2}\right) x^3 \log (x)",1,"(E^(E^x - x)*x^3*(-3 + 2*x)*Log[x])/4","A",1
8175,0,0,25,1.1110172,"\int \frac{-250 x-3115 x^2-248 x^3-5 x^4+3^{3 x} \left(-625 x^2-50 x^3-x^4+\left(1875 x^3+150 x^4+3 x^5\right) \log (3)\right)}{25+1240 x+15426 x^2+1240 x^3+25 x^4+3^{6 x} \left(625 x^2+50 x^3+x^4\right)+3^{3 x} \left(250 x+6210 x^2+498 x^3+10 x^4\right)} \, dx","Integrate[(-250*x - 3115*x^2 - 248*x^3 - 5*x^4 + 3^(3*x)*(-625*x^2 - 50*x^3 - x^4 + (1875*x^3 + 150*x^4 + 3*x^5)*Log[3]))/(25 + 1240*x + 15426*x^2 + 1240*x^3 + 25*x^4 + 3^(6*x)*(625*x^2 + 50*x^3 + x^4) + 3^(3*x)*(250*x + 6210*x^2 + 498*x^3 + 10*x^4)),x]","\int \frac{-250 x-3115 x^2-248 x^3-5 x^4+3^{3 x} \left(-625 x^2-50 x^3-x^4+\left(1875 x^3+150 x^4+3 x^5\right) \log (3)\right)}{25+1240 x+15426 x^2+1240 x^3+25 x^4+3^{6 x} \left(625 x^2+50 x^3+x^4\right)+3^{3 x} \left(250 x+6210 x^2+498 x^3+10 x^4\right)} \, dx","\frac{x}{\frac{x-5}{x (x+25)}-3^{3 x}-5}",1,"Integrate[(-250*x - 3115*x^2 - 248*x^3 - 5*x^4 + 3^(3*x)*(-625*x^2 - 50*x^3 - x^4 + (1875*x^3 + 150*x^4 + 3*x^5)*Log[3]))/(25 + 1240*x + 15426*x^2 + 1240*x^3 + 25*x^4 + 3^(6*x)*(625*x^2 + 50*x^3 + x^4) + 3^(3*x)*(250*x + 6210*x^2 + 498*x^3 + 10*x^4)), x]","F",-1
8176,1,28,30,0.1968796,"\int \exp \left(x^2+e^{\frac{1}{2} \left(5+e^{3+e^x}\right)} x^2-2 x^3+x^4+e^{\frac{1}{4} \left(5+e^{3+e^x}\right)} \left(-2 x^2+2 x^3\right)\right) \left(4 x-12 x^2+8 x^3+e^{\frac{1}{2} \left(5+e^{3+e^x}\right)} \left(4 x+e^{3+e^x+x} x^2\right)+e^{\frac{1}{4} \left(5+e^{3+e^x}\right)} \left(-8 x+12 x^2+e^{3+e^x+x} \left(-x^2+x^3\right)\right)\right) \, dx","Integrate[E^(x^2 + E^((5 + E^(3 + E^x))/2)*x^2 - 2*x^3 + x^4 + E^((5 + E^(3 + E^x))/4)*(-2*x^2 + 2*x^3))*(4*x - 12*x^2 + 8*x^3 + E^((5 + E^(3 + E^x))/2)*(4*x + E^(3 + E^x + x)*x^2) + E^((5 + E^(3 + E^x))/4)*(-8*x + 12*x^2 + E^(3 + E^x + x)*(-x^2 + x^3))),x]","2 e^{x^2 \left(x+e^{\frac{1}{4} \left(e^{e^x+3}+5\right)}-1\right)^2}","2 e^{\left(x^2+e^{\frac{1}{4} \left(e^{e^x+3}+5\right)} x-x\right)^2}",1,"2*E^(x^2*(-1 + E^((5 + E^(3 + E^x))/4) + x)^2)","A",1
8177,1,20,20,0.0202659,"\int \frac{6-7 x+x^2+\left(10-12 x+2 x^2\right) \log (x)}{-5+x} \, dx","Integrate[(6 - 7*x + x^2 + (10 - 12*x + 2*x^2)*Log[x])/(-5 + x),x]","x^2 \log (x)-2 x \log (x)-4 \log (5-x)","\left(x^2-2 x\right) \log (x)-2 \log \left((x-5)^2\right)+5",1,"-4*Log[5 - x] - 2*x*Log[x] + x^2*Log[x]","A",1
8178,1,20,22,1.1347516,"\int \frac{-3+\exp \left(25+10 x+x^2+16 e^{2 x} x^2+e^x \left(40 x+8 x^2\right)\right) \left(-1+10 x+2 x^2+e^x \left(40 x+56 x^2+8 x^3\right)+e^{2 x} \left(32 x^2+32 x^3\right)\right)}{9+6 \exp \left(25+10 x+x^2+16 e^{2 x} x^2+e^x \left(40 x+8 x^2\right)\right)+\exp \left(50+20 x+2 x^2+32 e^{2 x} x^2+2 e^x \left(40 x+8 x^2\right)\right)} \, dx","Integrate[(-3 + E^(25 + 10*x + x^2 + 16*E^(2*x)*x^2 + E^x*(40*x + 8*x^2))*(-1 + 10*x + 2*x^2 + E^x*(40*x + 56*x^2 + 8*x^3) + E^(2*x)*(32*x^2 + 32*x^3)))/(9 + 6*E^(25 + 10*x + x^2 + 16*E^(2*x)*x^2 + E^x*(40*x + 8*x^2)) + E^(50 + 20*x + 2*x^2 + 32*E^(2*x)*x^2 + 2*E^x*(40*x + 8*x^2))),x]","-\frac{x}{e^{\left(4 e^x x+x+5\right)^2}+3}","9-\frac{x}{e^{\left(4 e^x x+x+5\right)^2}+3}",1,"-(x/(3 + E^(5 + x + 4*E^x*x)^2))","A",1
8179,1,23,23,1.3160359,"\int \frac{\exp \left(\frac{1+e^x-x-2 x^2+(-1+2 x) \log (1+x)}{-1+2 x}\right) \left(1-3 x-x^2+8 x^3-4 x^4+e^x \left(-3 x-x^2+2 x^3\right)\right)}{1-3 x+4 x^3} \, dx","Integrate[(E^((1 + E^x - x - 2*x^2 + (-1 + 2*x)*Log[1 + x])/(-1 + 2*x))*(1 - 3*x - x^2 + 8*x^3 - 4*x^4 + E^x*(-3*x - x^2 + 2*x^3)))/(1 - 3*x + 4*x^3),x]","e^{-x+\frac{e^x}{2 x-1}-1} x (x+1)","e^{-x+\frac{e^x}{2 x-1}-1} x (x+1)",1,"E^(-1 - x + E^x/(-1 + 2*x))*x*(1 + x)","A",1
8180,1,13,19,0.0032884,"\int -\frac{4}{\left(2 x+\log ^2(2)\right) \log ^2\left(2 x+\log ^2(2)\right)} \, dx","Integrate[-4/((2*x + Log[2]^2)*Log[2*x + Log[2]^2]^2),x]","\frac{2}{\log \left(2 x+\log ^2(2)\right)}","\frac{2}{\log \left(2 x+\log ^2(2)\right)}-\frac{1}{3}+\log (4)",1,"2/Log[2*x + Log[2]^2]","A",1
8181,1,27,27,0.8800303,"\int \frac{-9 x+6 x^2-x^3+\left(6 x-2 x^2\right) \log \left(\frac{4}{x^3}\right)-x \log ^2\left(\frac{4}{x^3}\right)+e^{\frac{e^{9+12 x+4 x^2}}{-3+x+\log \left(\frac{4}{x^3}\right)}} \left(e^{9+12 x+4 x^2} \left(3-37 x-12 x^2+8 x^3\right)+e^{9+12 x+4 x^2} \left(12 x+8 x^2\right) \log \left(\frac{4}{x^3}\right)\right)}{9 x-6 x^2+x^3+\left(-6 x+2 x^2\right) \log \left(\frac{4}{x^3}\right)+x \log ^2\left(\frac{4}{x^3}\right)} \, dx","Integrate[(-9*x + 6*x^2 - x^3 + (6*x - 2*x^2)*Log[4/x^3] - x*Log[4/x^3]^2 + E^(E^(9 + 12*x + 4*x^2)/(-3 + x + Log[4/x^3]))*(E^(9 + 12*x + 4*x^2)*(3 - 37*x - 12*x^2 + 8*x^3) + E^(9 + 12*x + 4*x^2)*(12*x + 8*x^2)*Log[4/x^3]))/(9*x - 6*x^2 + x^3 + (-6*x + 2*x^2)*Log[4/x^3] + x*Log[4/x^3]^2),x]","e^{\frac{e^{(2 x+3)^2}}{\log \left(\frac{4}{x^3}\right)+x-3}}-x","e^{\frac{e^{(2 x+3)^2}}{\log \left(\frac{4}{x^3}\right)+x-3}}-x",1,"E^(E^(3 + 2*x)^2/(-3 + x + Log[4/x^3])) - x","A",1
8182,1,15,18,0.0467827,"\int \frac{1+e^{260+85 x+5 x^2} \left(85 x+10 x^2\right)}{x} \, dx","Integrate[(1 + E^(260 + 85*x + 5*x^2)*(85*x + 10*x^2))/x,x]","e^{5 x^2+85 x+260}+\log (x)","e^{5 (x+4) (x+13)}+\log (2 x)-\frac{4}{3}",1,"E^(260 + 85*x + 5*x^2) + Log[x]","A",1
8183,1,76,33,0.1703522,"\int \frac{18 e^{2 e^{-2+x}+x}+8 x^2+e^{e^{-2+x}} \left(24-24 e^{-2+x} x+e^x \left(-60 x+12 e^4 x-12 x^2\right)\right)+e^x \left(50 x^2+2 e^8 x^2+20 x^3+2 x^4+e^4 \left(-20 x^2-4 x^3\right)\right)}{9 e^{2 e^{-2+x}+x}-20 x^2+4 e^4 x^2-4 x^3+e^{e^{-2+x}} \left(12 x+e^x \left(-30 x+6 e^4 x-6 x^2\right)\right)+e^x \left(25 x^2+e^8 x^2+10 x^3+x^4+e^4 \left(-10 x^2-2 x^3\right)\right)} \, dx","Integrate[(18*E^(2*E^(-2 + x) + x) + 8*x^2 + E^E^(-2 + x)*(24 - 24*E^(-2 + x)*x + E^x*(-60*x + 12*E^4*x - 12*x^2)) + E^x*(50*x^2 + 2*E^8*x^2 + 20*x^3 + 2*x^4 + E^4*(-20*x^2 - 4*x^3)))/(9*E^(2*E^(-2 + x) + x) - 20*x^2 + 4*E^4*x^2 - 4*x^3 + E^E^(-2 + x)*(12*x + E^x*(-30*x + 6*E^4*x - 6*x^2)) + E^x*(25*x^2 + E^8*x^2 + 10*x^3 + x^4 + E^4*(-10*x^2 - 2*x^3))),x]","\frac{2 \left(e^2 \log \left(-e^x x^2-5 e^x x+e^{x+4} x+4 x+3 e^{x+e^{x-2}}\right)-e^2 \log \left(-x^2+e^4 x-5 x+3 e^{e^{x-2}}\right)\right)}{e^2}","\log \left(\left(\frac{4}{x-\frac{3 e^{e^{x-2}}}{x}-e^4+5}-e^x\right)^2\right)",1,"(2*(-(E^2*Log[3*E^E^(-2 + x) - 5*x + E^4*x - x^2]) + E^2*Log[3*E^(E^(-2 + x) + x) + 4*x - 5*E^x*x + E^(4 + x)*x - E^x*x^2]))/E^2","B",1
8184,1,27,23,0.014156,"\int \frac{-2 e^8+2 x^4}{e^{12}+x^3-3 x^4+3 x^5-x^6+e^8 \left(3 x-3 x^2\right)+e^4 \left(3 x^2-6 x^3+3 x^4\right)} \, dx","Integrate[(-2*E^8 + 2*x^4)/(E^12 + x^3 - 3*x^4 + 3*x^5 - x^6 + E^8*(3*x - 3*x^2) + E^4*(3*x^2 - 6*x^3 + 3*x^4)),x]","-\frac{x \left(-2 x^2+x+2 e^4\right)}{\left(-x^2+x+e^4\right)^2}","\left(\frac{x}{(1-x) x+e^4}-1\right)^2+\log (\log (4))",1,"-((x*(2*E^4 + x - 2*x^2))/(E^4 + x - x^2)^2)","A",1
8185,1,15,16,0.0550152,"\int \frac{-x-4 x^2+2 e x^2-2 x^3+(2-e+x) \log (-2+e-x)}{-2 x^2+e x^2-x^3} \, dx","Integrate[(-x - 4*x^2 + 2*E*x^2 - 2*x^3 + (2 - E + x)*Log[-2 + E - x])/(-2*x^2 + E*x^2 - x^3),x]","2 x+\frac{\log (-x+e-2)}{x}","2 x+\frac{\log (-x+e-2)}{x}+1",1,"2*x + Log[-2 + E - x]/x","A",1
8186,1,32,30,0.1046443,"\int \frac{-2+e^{3+x+2 x^2+x^4-x^3 \log (x)} \left(2+8 x-2 x^2+8 x^3-6 x^2 \log (x)\right)}{e^{6+2 x+4 x^2+2 x^4-2 x^3 \log (x)}-2 e^{3+x+2 x^2+x^4-x^3 \log (x)} x+x^2} \, dx","Integrate[(-2 + E^(3 + x + 2*x^2 + x^4 - x^3*Log[x])*(2 + 8*x - 2*x^2 + 8*x^3 - 6*x^2*Log[x]))/(E^(6 + 2*x + 4*x^2 + 2*x^4 - 2*x^3*Log[x]) - 2*E^(3 + x + 2*x^2 + x^4 - x^3*Log[x])*x + x^2),x]","-\frac{2 x^{x^3}}{e^{x^4+2 x^2+x+3}-x^{x^3+1}}","\frac{2}{x-e^{-\left(x^2 (x (\log (x)-x)-2)\right)+x+3}}-3",1,"(-2*x^x^3)/(E^(3 + x + 2*x^2 + x^4) - x^(1 + x^3))","A",1
8187,0,0,24,2.8436205,"\int \frac{e^{-e^{4 x^2+4 x \log (-x+\log (3))}-x} \left(-x+x^2+(1-x) \log (3)+e^{4 x^2+4 x \log (-x+\log (3))} \left(4 x^2+8 x^3-8 x^2 \log (3)+\left(4 x^2-4 x \log (3)\right) \log (-x+\log (3))\right)\right)}{-x+\log (3)} \, dx","Integrate[(E^(-E^(4*x^2 + 4*x*Log[-x + Log[3]]) - x)*(-x + x^2 + (1 - x)*Log[3] + E^(4*x^2 + 4*x*Log[-x + Log[3]])*(4*x^2 + 8*x^3 - 8*x^2*Log[3] + (4*x^2 - 4*x*Log[3])*Log[-x + Log[3]])))/(-x + Log[3]),x]","\int \frac{e^{-e^{4 x^2+4 x \log (-x+\log (3))}-x} \left(-x+x^2+(1-x) \log (3)+e^{4 x^2+4 x \log (-x+\log (3))} \left(4 x^2+8 x^3-8 x^2 \log (3)+\left(4 x^2-4 x \log (3)\right) \log (-x+\log (3))\right)\right)}{-x+\log (3)} \, dx","x e^{-x-e^{4 x (x+\log (\log (3)-x))}}",1,"Integrate[(E^(-E^(4*x^2 + 4*x*Log[-x + Log[3]]) - x)*(-x + x^2 + (1 - x)*Log[3] + E^(4*x^2 + 4*x*Log[-x + Log[3]])*(4*x^2 + 8*x^3 - 8*x^2*Log[3] + (4*x^2 - 4*x*Log[3])*Log[-x + Log[3]])))/(-x + Log[3]), x]","F",-1
8188,1,39,27,0.1993781,"\int \frac{\exp \left(\sqrt[338]{e}-x+2 \sqrt[676]{e} \log \left(\frac{4-5 x+x^2}{x}\right)+\log ^2\left(\frac{4-5 x+x^2}{x}\right)\right) \left(-4 x+5 x^2-x^3+\sqrt[676]{e} \left(-8+2 x^2\right)+\left(-8+2 x^2\right) \log \left(\frac{4-5 x+x^2}{x}\right)\right)}{4 x-5 x^2+x^3} \, dx","Integrate[(E^(E^(1/338) - x + 2*E^(1/676)*Log[(4 - 5*x + x^2)/x] + Log[(4 - 5*x + x^2)/x]^2)*(-4*x + 5*x^2 - x^3 + E^(1/676)*(-8 + 2*x^2) + (-8 + 2*x^2)*Log[(4 - 5*x + x^2)/x]))/(4*x - 5*x^2 + x^3),x]","\left(x+\frac{4}{x}-5\right)^{2 \sqrt[676]{e}} e^{-x+\log ^2\left(x+\frac{4}{x}-5\right)+\sqrt[338]{e}}","e^{\left(\log \left(\frac{4-x}{x}+x-4\right)+\sqrt[676]{e}\right)^2-x}",1,"E^(E^(1/338) - x + Log[-5 + 4/x + x]^2)*(-5 + 4/x + x)^(2*E^(1/676))","A",1
8189,1,36,30,0.0714874,"\int \frac{-200+e^x (-8-2 x)-144 x+8 x^2+(8+8 x) \log (2)+\left(52 x+2 e^x x\right) \log \left(e^{2 x} x^2\right)+18 x \log ^2\left(e^{2 x} x^2\right)+2 x \log ^3\left(e^{2 x} x^2\right)}{27 x+27 x \log \left(e^{2 x} x^2\right)+9 x \log ^2\left(e^{2 x} x^2\right)+x \log ^3\left(e^{2 x} x^2\right)} \, dx","Integrate[(-200 + E^x*(-8 - 2*x) - 144*x + 8*x^2 + (8 + 8*x)*Log[2] + (52*x + 2*E^x*x)*Log[E^(2*x)*x^2] + 18*x*Log[E^(2*x)*x^2]^2 + 2*x*Log[E^(2*x)*x^2]^3)/(27*x + 27*x*Log[E^(2*x)*x^2] + 9*x*Log[E^(2*x)*x^2]^2 + x*Log[E^(2*x)*x^2]^3),x]","2 \left(\frac{-4 x+4 e^x+100-\log (16)}{4 \left(\log \left(e^{2 x} x^2\right)+3\right)^2}+x\right)","2 \left(x-\frac{x-e^x-25+\log (2)}{\left(\log \left(e^{2 x} x^2\right)+3\right)^2}\right)",1,"2*(x + (100 + 4*E^x - 4*x - Log[16])/(4*(3 + Log[E^(2*x)*x^2])^2))","A",1
8190,1,15,15,0.0556093,"\int \frac{e^x \left(-8 x^3+4 x^4+2 x^5\right)}{27-54 x+27 x^2} \, dx","Integrate[(E^x*(-8*x^3 + 4*x^4 + 2*x^5))/(27 - 54*x + 27*x^2),x]","\frac{2 e^x x^4}{27 (x-1)}","\frac{2 e^x x^4}{27 (x-1)}",1,"(2*E^x*x^4)/(27*(-1 + x))","A",1
8191,1,49,32,0.1530402,"\int \frac{e^x (-5-5 x)+15 x^2 \log (5)+e^{5-3 x+x^2} \left(e^x (-10+10 x)+\left(-10 x+15 x^2-10 x^3\right) \log (5)\right)}{e^{10} \log (5)} \, dx","Integrate[(E^x*(-5 - 5*x) + 15*x^2*Log[5] + E^(5 - 3*x + x^2)*(E^x*(-10 + 10*x) + (-10*x + 15*x^2 - 10*x^3)*Log[5]))/(E^10*Log[5]),x]","\frac{5 x^3 \log (5)+5 e^{x^2-3 x} \left(e^{x+5}-e^5 x^2 \log (5)\right)-5 e^x x}{e^{10} \log (5)}","\frac{5 \left(e^{(x-3) x+5}-x\right) \left(\frac{e^x}{\log (5)}-x^2\right)}{e^{10}}",1,"(-5*E^x*x + 5*x^3*Log[5] + 5*E^(-3*x + x^2)*(E^(5 + x) - E^5*x^2*Log[5]))/(E^10*Log[5])","A",1
8192,1,22,22,0.0075188,"\int \frac{4+100 x^2-\log \left(\frac{1}{5} e^{50 x^2} x^4\right)}{4 x^2} \, dx","Integrate[(4 + 100*x^2 - Log[(E^(50*x^2)*x^4)/5])/(4*x^2),x]","\frac{\log \left(\frac{1}{5} e^{50 x^2} x^4\right)}{4 x}","\frac{\log \left(\frac{1}{5} e^{50 x^2} x^4\right)}{4 x}",1,"Log[(E^(50*x^2)*x^4)/5]/(4*x)","A",1
8193,1,28,25,0.6628051,"\int \frac{-6+6 x+24 x^2+e^{-4+e^x} \left(2-2 x-2 e^x x-8 x^2\right)}{9 e^{x+2 x^2}-6 e^{-4+e^x+x+2 x^2}+e^{-8+2 e^x+x+2 x^2}} \, dx","Integrate[(-6 + 6*x + 24*x^2 + E^(-4 + E^x)*(2 - 2*x - 2*E^x*x - 8*x^2))/(9*E^(x + 2*x^2) - 6*E^(-4 + E^x + x + 2*x^2) + E^(-8 + 2*E^x + x + 2*x^2)),x]","\frac{2 e^{-2 x^2-x+4} x}{e^{e^x}-3 e^4}","\frac{2 e^{-2 x^2-x} x}{e^{e^x-4}-3}",1,"(2*E^(4 - x - 2*x^2)*x)/(-3*E^4 + E^E^x)","A",1
8194,1,27,27,0.1421812,"\int \frac{\left(-2 x^2+e^2 \left(250 x-250 x^2+2 x^3-2 x^4+e \left(50 x-50 x^2\right)\right)\right) \log (x)+\left(e^2 \left(125-250 x+126 x^2-2 x^3+x^4+e \left(25-50 x+25 x^2\right)\right)+\left(125+25 e+x^2\right) \log \left(\frac{1}{25} \left(125+25 e+x^2\right)\right)\right) \log \left(e^2 \left(1-2 x+x^2\right)+\log \left(\frac{1}{25} \left(125+25 e+x^2\right)\right)\right)}{\left(e^2 \left(125 x-250 x^2+126 x^3-2 x^4+x^5+e \left(25 x-50 x^2+25 x^3\right)\right)+\left(125 x+25 e x+x^3\right) \log \left(\frac{1}{25} \left(125+25 e+x^2\right)\right)\right) \log ^2\left(e^2 \left(1-2 x+x^2\right)+\log \left(\frac{1}{25} \left(125+25 e+x^2\right)\right)\right)} \, dx","Integrate[((-2*x^2 + E^2*(250*x - 250*x^2 + 2*x^3 - 2*x^4 + E*(50*x - 50*x^2)))*Log[x] + (E^2*(125 - 250*x + 126*x^2 - 2*x^3 + x^4 + E*(25 - 50*x + 25*x^2)) + (125 + 25*E + x^2)*Log[(125 + 25*E + x^2)/25])*Log[E^2*(1 - 2*x + x^2) + Log[(125 + 25*E + x^2)/25]])/((E^2*(125*x - 250*x^2 + 126*x^3 - 2*x^4 + x^5 + E*(25*x - 50*x^2 + 25*x^3)) + (125*x + 25*E*x + x^3)*Log[(125 + 25*E + x^2)/25])*Log[E^2*(1 - 2*x + x^2) + Log[(125 + 25*E + x^2)/25]]^2),x]","\frac{\log (x)}{\log \left(\log \left(\frac{x^2}{25}+e+5\right)+e^2 (x-1)^2\right)}","\frac{\log (x)}{\log \left(\log \left(\frac{x^2}{25}+e+5\right)+e^2 (x-1)^2\right)}",1,"Log[x]/Log[E^2*(-1 + x)^2 + Log[5 + E + x^2/25]]","A",1
8195,1,30,30,0.2067493,"\int \frac{-12+e^x \left(-3-3 x-x^2\right)+\left(e^{3 x} \left(6 x+2 x^2\right)+e^{2 x} \left(24 x+8 x^2\right)\right) \log \left(\frac{16+4 e^x}{3+x}\right)+\left(e^{3 x} \left(6 x+2 x^2\right)+e^{2 x} \left(24 x+8 x^2\right)\right) \log \left(\frac{x}{\log (3)}\right)}{\left(12 x+4 x^2+e^x \left(3 x+x^2\right)\right) \log \left(\frac{16+4 e^x}{3+x}\right)+\left(12 x+4 x^2+e^x \left(3 x+x^2\right)\right) \log \left(\frac{x}{\log (3)}\right)} \, dx","Integrate[(-12 + E^x*(-3 - 3*x - x^2) + (E^(3*x)*(6*x + 2*x^2) + E^(2*x)*(24*x + 8*x^2))*Log[(16 + 4*E^x)/(3 + x)] + (E^(3*x)*(6*x + 2*x^2) + E^(2*x)*(24*x + 8*x^2))*Log[x/Log[3]])/((12*x + 4*x^2 + E^x*(3*x + x^2))*Log[(16 + 4*E^x)/(3 + x)] + (12*x + 4*x^2 + E^x*(3*x + x^2))*Log[x/Log[3]]),x]","e^{2 x}-\log \left(\log \left(\frac{e^x+4}{x+3}\right)+\log \left(\frac{4 x}{\log (3)}\right)\right)","e^{2 x}-\log \left(\log \left(\frac{4 \left(e^x+4\right)}{x+3}\right)+\log \left(\frac{x}{\log (3)}\right)\right)",1,"E^(2*x) - Log[Log[(4 + E^x)/(3 + x)] + Log[(4*x)/Log[3]]]","A",1
8196,0,0,27,1.0100784,"\int \frac{64-28 x+8 x^2-x^3+\left(-16+8 x-x^2\right) \log (2)+\left(16-8 x+x^2\right) \log (4-x)}{-64 x+32 x^2-4 x^3+\left(16 x-4 x^2\right) \log (2)+\left(-16 x+4 x^2\right) \log (4-x)} \, dx","Integrate[(64 - 28*x + 8*x^2 - x^3 + (-16 + 8*x - x^2)*Log[2] + (16 - 8*x + x^2)*Log[4 - x])/(-64*x + 32*x^2 - 4*x^3 + (16*x - 4*x^2)*Log[2] + (-16*x + 4*x^2)*Log[4 - x]),x]","\int \frac{64-28 x+8 x^2-x^3+\left(-16+8 x-x^2\right) \log (2)+\left(16-8 x+x^2\right) \log (4-x)}{-64 x+32 x^2-4 x^3+\left(16 x-4 x^2\right) \log (2)+\left(-16 x+4 x^2\right) \log (4-x)} \, dx","\frac{x-1}{4}+\log \left(\frac{x-\log (4-x)-4+\log (2)}{x}\right)+1",1,"Integrate[(64 - 28*x + 8*x^2 - x^3 + (-16 + 8*x - x^2)*Log[2] + (16 - 8*x + x^2)*Log[4 - x])/(-64*x + 32*x^2 - 4*x^3 + (16*x - 4*x^2)*Log[2] + (-16*x + 4*x^2)*Log[4 - x]), x]","F",-1
8197,1,17,20,0.1655688,"\int \frac{2+e^x x+\log (\log (2))+\left(\left(-6+e^x \left(-2 x+x^2\right)\right) \log (x)-3 \log (x) \log (\log (2))\right) \log (\log (x))}{x^4 \log (x)} \, dx","Integrate[(2 + E^x*x + Log[Log[2]] + ((-6 + E^x*(-2*x + x^2))*Log[x] - 3*Log[x]*Log[Log[2]])*Log[Log[x]])/(x^4*Log[x]),x]","\frac{\left(e^x x+2+\log (\log (2))\right) \log (\log (x))}{x^3}","\frac{\left(e^x+\frac{2+\log (\log (2))}{x}\right) \log (\log (x))}{x^2}",1,"((2 + E^x*x + Log[Log[2]])*Log[Log[x]])/x^3","A",1
8198,1,28,31,0.1269018,"\int \frac{-120+120 \log \left(\frac{2}{x}\right)+e^{e^x-x} \left(-12 x+12 x^2-12 e^x x^2\right) \log \left(\frac{2}{x}\right)}{x \log \left(\frac{2}{x}\right)} \, dx","Integrate[(-120 + 120*Log[2/x] + E^(E^x - x)*(-12*x + 12*x^2 - 12*E^x*x^2)*Log[2/x])/(x*Log[2/x]),x]","12 \left(-e^{e^x-x} x+10 \log (x)+10 \log \left(\log \left(\frac{2}{x}\right)\right)\right)","12 \left(5 \log \left(x^2 \log ^2\left(\frac{2}{x}\right)\right)-e^{e^x-x} x+1\right)",1,"12*(-(E^(E^x - x)*x) + 10*Log[x] + 10*Log[Log[2/x]])","A",1
8199,1,22,19,0.0473372,"\int \frac{1+2 x+9 x^2+\left(-x-3 x^2+5 x^3+7 x^4\right) \log ^2\left(\frac{-x-x^2}{-1-2 x+7 x^2}\right)}{\left(-x-3 x^2+5 x^3+7 x^4\right) \log ^2\left(\frac{-x-x^2}{-1-2 x+7 x^2}\right)} \, dx","Integrate[(1 + 2*x + 9*x^2 + (-x - 3*x^2 + 5*x^3 + 7*x^4)*Log[(-x - x^2)/(-1 - 2*x + 7*x^2)]^2)/((-x - 3*x^2 + 5*x^3 + 7*x^4)*Log[(-x - x^2)/(-1 - 2*x + 7*x^2)]^2),x]","\frac{1}{\log \left(\frac{x (x+1)}{-7 x^2+2 x+1}\right)}+x","x+\frac{1}{\log \left(\frac{x+1}{-7 x+\frac{1}{x}+2}\right)}",1,"x + Log[(x*(1 + x))/(1 + 2*x - 7*x^2)]^(-1)","A",1
8200,1,33,18,0.2189187,"\int \frac{1}{3} 2^{\frac{2}{3} \left(-6 x^2+18 x^3+x^4-3 x^5\right)} \left(-12 x+54 x^2+4 x^3-15 x^4\right) \log (4) \, dx","Integrate[(2^((2*(-6*x^2 + 18*x^3 + x^4 - 3*x^5))/3)*(-12*x + 54*x^2 + 4*x^3 - 15*x^4)*Log[4])/3,x]","\frac{2^{-2 x^5+\frac{2 x^4}{3}+12 x^3-4 x^2-1} \log (4)}{\log (2)}","4^{\left(x-\frac{1}{3}\right) x^2 \left(6-x^2\right)}",1,"(2^(-1 - 4*x^2 + 12*x^3 + (2*x^4)/3 - 2*x^5)*Log[4])/Log[2]","A",1
8201,1,20,20,0.0517847,"\int \frac{3-6 e^{-11 x} \log (5)+e^{-11 x} (-6+66 x) \log (5) \log (x)}{2 \log (5)} \, dx","Integrate[(3 - (6*Log[5])/E^(11*x) + ((-6 + 66*x)*Log[5]*Log[x])/E^(11*x))/(2*Log[5]),x]","\frac{3 \left(x-2 e^{-11 x} x \log (5) \log (x)\right)}{\log (25)}","x \left(\frac{3}{2 \log (5)}-3 e^{-11 x} \log (x)\right)",1,"(3*(x - (2*x*Log[5]*Log[x])/E^(11*x)))/Log[25]","A",1
8202,1,24,22,0.1217392,"\int \frac{-9 x+3 \log ^2\left(\frac{1}{x}\right)+\left(9+9 \log \left(\frac{1}{x}\right)\right) \log (\log (4))}{9 x^2+6 x \log \left(\frac{1}{x}\right)+\log ^2\left(\frac{1}{x}\right)} \, dx","Integrate[(-9*x + 3*Log[x^(-1)]^2 + (9 + 9*Log[x^(-1)])*Log[Log[4]])/(9*x^2 + 6*x*Log[x^(-1)] + Log[x^(-1)]^2),x]","3 x-\frac{9 x (x-\log (\log (4)))}{3 x+\log \left(\frac{1}{x}\right)}","\frac{3 (x-\log (\log (4)))}{\frac{3 x}{\log \left(\frac{1}{x}\right)}+1}",1,"3*x - (9*x*(x - Log[Log[4]]))/(3*x + Log[x^(-1)])","A",1
8203,1,10,25,0.0012289,"\int \frac{20+x^3+2 x^4}{x^3} \, dx","Integrate[(20 + x^3 + 2*x^4)/x^3,x]","x^2-\frac{10}{x^2}+x","x^2-\frac{10}{x^2}+x+5+\frac{5}{\log (4) (3-\log (5))}",1,"-10/x^2 + x + x^2","A",1
8204,1,24,27,1.8087418,"\int \frac{e^{\frac{50 x+25 e^{5+x} x}{25-15 x+16 x^2}} \left(1250-800 x^2+e^{5+x} \left(625+625 x-775 x^2+400 x^3\right)\right)}{625-750 x+1025 x^2-480 x^3+256 x^4} \, dx","Integrate[(E^((50*x + 25*E^(5 + x)*x)/(25 - 15*x + 16*x^2))*(1250 - 800*x^2 + E^(5 + x)*(625 + 625*x - 775*x^2 + 400*x^3)))/(625 - 750*x + 1025*x^2 - 480*x^3 + 256*x^4),x]","e^{\frac{25 \left(e^{x+5}+2\right) x}{16 x^2-15 x+25}}","e^{\frac{e^{x+5} x+2 x}{\left(\frac{4 x}{5}-1\right)^2+x}}",1,"E^((25*(2 + E^(5 + x))*x)/(25 - 15*x + 16*x^2))","A",1
8205,1,21,25,1.0594465,"\int \frac{e^{4+x} \left(-150-50 x^2\right)+e^4 \left(300+100 x^2\right)+\left(-200 e^4 x^2+e^{4+x} \left(150 x+100 x^2+50 x^3\right)\right) \log (x)}{36 x+24 x^3+4 x^5+e^x \left(-36 x-24 x^3-4 x^5\right)+e^{2 x} \left(9 x+6 x^3+x^5\right)} \, dx","Integrate[(E^(4 + x)*(-150 - 50*x^2) + E^4*(300 + 100*x^2) + (-200*E^4*x^2 + E^(4 + x)*(150*x + 100*x^2 + 50*x^3))*Log[x])/(36*x + 24*x^3 + 4*x^5 + E^x*(-36*x - 24*x^3 - 4*x^5) + E^(2*x)*(9*x + 6*x^3 + x^5)),x]","-\frac{50 e^4 \log (x)}{\left(e^x-2\right) \left(x^2+3\right)}","\frac{25 e^4 \log (x)}{\left(1-\frac{e^x}{2}\right) \left(x^2+3\right)}",1,"(-50*E^4*Log[x])/((-2 + E^x)*(3 + x^2))","A",1
8206,1,23,20,0.0401693,"\int \frac{1}{6} \left(x+e^{-2 x+x^3} \left(12-18 x^2\right)\right) \, dx","Integrate[(x + E^(-2*x + x^3)*(12 - 18*x^2))/6,x]","\frac{1}{6} \left(\frac{x^2}{2}-6 e^{x^3-2 x}\right)","\frac{x^2}{12}-e^{x \left(x^2-2\right)}+1",1,"(-6*E^(-2*x + x^3) + x^2/2)/6","A",1
8207,1,37,24,0.0960363,"\int \frac{5-2 x+\left(125-40 x+53 x^2-52 x^3+12 x^4\right) \log (x)+5 \log (x) \log (\log (x))}{\left(125-100 x+20 x^2\right) \log (x)} \, dx","Integrate[(5 - 2*x + (125 - 40*x + 53*x^2 - 52*x^3 + 12*x^4)*Log[x] + 5*Log[x]*Log[Log[x]])/((125 - 100*x + 20*x^2)*Log[x]),x]","\frac{-8 x^4+12 x^3-16 x^2+90 x+4 x \log (\log (x))+25}{5 (20-8 x)}","\frac{1}{5} x \left(x^2+x+\frac{x+\log (\log (x))}{5-2 x}+5\right)",1,"(25 + 90*x - 16*x^2 + 12*x^3 - 8*x^4 + 4*x*Log[Log[x]])/(5*(20 - 8*x))","A",1
8208,1,47,23,0.4774568,"\int \frac{-2 x^2-2 x^3+x^{2/x} (4+4 x+(-4-4 x) \log (x))+x^{\frac{1}{x}} (-16-16 x+(16+16 x) \log (x))+\left(13 x^2-x^3-8 x^{2+\frac{1}{x}}+x^{2+\frac{2}{x}}\right) \log \left(169-26 x+x^2+(90-2 x) x^{2/x}-16 x^{3/x}+x^{4/x}+x^{\frac{1}{x}} (-208+16 x)\right)}{13 x^2-x^3-8 x^{2+\frac{1}{x}}+x^{2+\frac{2}{x}}} \, dx","Integrate[(-2*x^2 - 2*x^3 + x^(2/x)*(4 + 4*x + (-4 - 4*x)*Log[x]) + x^x^(-1)*(-16 - 16*x + (16 + 16*x)*Log[x]) + (13*x^2 - x^3 - 8*x^(2 + x^(-1)) + x^(2 + 2/x))*Log[169 - 26*x + x^2 + (90 - 2*x)*x^(2/x) - 16*x^(3/x) + x^(4/x) + x^x^(-1)*(-208 + 16*x)])/(13*x^2 - x^3 - 8*x^(2 + x^(-1)) + x^(2 + 2/x)),x]","2 \log \left(-x^{2/x}+8 x^{\frac{1}{x}}+x-13\right)+x \log \left(\left(x^{2/x}-8 x^{\frac{1}{x}}-x+13\right)^2\right)","(x+1) \log \left(\left(-\left(4-x^{\frac{1}{x}}\right)^2+x+3\right)^2\right)",1,"2*Log[-13 + x + 8*x^x^(-1) - x^(2/x)] + x*Log[(13 - x - 8*x^x^(-1) + x^(2/x))^2]","B",1
8209,1,21,21,0.0150604,"\int \frac{e^5 \left(-2-4 x^2-2 x^4\right)-4 e^5 x^2 \log (x)}{\left(x+2 x^3+x^5\right) \log (x)} \, dx","Integrate[(E^5*(-2 - 4*x^2 - 2*x^4) - 4*E^5*x^2*Log[x])/((x + 2*x^3 + x^5)*Log[x]),x]","\frac{2 e^5}{x^2+1}-2 e^5 \log (\log (x))","e^5 \log \left(\frac{e^{\frac{2}{x^2+1}}}{\log ^2(x)}\right)",1,"(2*E^5)/(1 + x^2) - 2*E^5*Log[Log[x]]","A",1
8210,1,27,31,0.3249231,"\int \frac{e^{\frac{3-x}{2}+2 x} \left(16 x^3-6 x^4\right)+e^{\frac{3-x}{2}+x} \left(-32 x^6+8 x^7\right)}{e^{3 x}+12 e^{2 x} x^3+48 e^x x^6+64 x^9} \, dx","Integrate[(E^((3 - x)/2 + 2*x)*(16*x^3 - 6*x^4) + E^((3 - x)/2 + x)*(-32*x^6 + 8*x^7))/(E^(3*x) + 12*E^(2*x)*x^3 + 48*E^x*x^6 + 64*x^9),x]","\frac{4 e^{\frac{x}{2}+\frac{3}{2}} x^4}{\left(4 x^3+e^x\right)^2}","\frac{e^{\frac{1}{2} (-x-3)+x+3}}{\left(\frac{e^x}{2 x^2}+2 x\right)^2}",1,"(4*E^(3/2 + x/2)*x^4)/(E^x + 4*x^3)^2","A",1
8211,1,88,27,0.0446967,"\int \frac{e^4 x^2+e^4 \left(8 e x+5 e^2 x^2\right)+e^6 x^2 \log (4)-e^6 x^2 \log \left(3 e^2\right)}{e^2 x^2+e^2 \left(8 e x+10 e^2 x^2\right)+e^4 \left(16+40 e x+25 e^2 x^2\right)+\left(2 e^4 x^2+e^4 \left(8 e x+10 e^2 x^2\right)\right) \log (4)+e^6 x^2 \log ^2(4)+\left(-2 e^4 x^2+e^4 \left(-8 e x-10 e^2 x^2\right)-2 e^6 x^2 \log (4)\right) \log \left(3 e^2\right)+e^6 x^2 \log ^2\left(3 e^2\right)} \, dx","Integrate[(E^4*x^2 + E^4*(8*E*x + 5*E^2*x^2) + E^6*x^2*Log[4] - E^6*x^2*Log[3*E^2])/(E^2*x^2 + E^2*(8*E*x + 10*E^2*x^2) + E^4*(16 + 40*E*x + 25*E^2*x^2) + (2*E^4*x^2 + E^4*(8*E*x + 10*E^2*x^2))*Log[4] + E^6*x^2*Log[4]^2 + (-2*E^4*x^2 + E^4*(-8*E*x - 10*E^2*x^2) - 2*E^6*x^2*Log[4])*Log[3*E^2] + E^6*x^2*Log[3*E^2]^2),x]","\frac{e^2 \left(x^2+e^4 x^2 \left(3+\log \left(\frac{4}{3}\right)\right)^2+2 e^2 \left(x^2 \left(3+\log \left(\frac{4}{3}\right)\right)+16\right)+8 e x+8 e^3 x \left(3+\log \left(\frac{4}{3}\right)\right)\right)}{\left(1+e^2 \left(3+\log \left(\frac{4}{3}\right)\right)\right)^2 \left(x+e^2 x \left(3+\log \left(\frac{4}{3}\right)\right)+4 e\right)}","\frac{x}{\frac{4}{e x}+\frac{1}{e^2}+5-\log \left(3 e^2\right)+\log (4)}",1,"(E^2*(8*E*x + x^2 + 8*E^3*x*(3 + Log[4/3]) + E^4*x^2*(3 + Log[4/3])^2 + 2*E^2*(16 + x^2*(3 + Log[4/3]))))/((1 + E^2*(3 + Log[4/3]))^2*(4*E + x + E^2*x*(3 + Log[4/3])))","B",1
8212,1,25,20,0.0860547,"\int e^{-225 x^2} \left(-1+e^{2+x+225 x^2}-1800 x+450 x^2\right) \, dx","Integrate[(-1 + E^(2 + x + 225*x^2) - 1800*x + 450*x^2)/E^(225*x^2),x]","-e^{-225 x^2} x+4 e^{-225 x^2}+e^{x+2}","e^{-225 x^2} (4-x)+e^{x+2}+3",1,"4/E^(225*x^2) + E^(2 + x) - x/E^(225*x^2)","A",1
8213,1,30,19,0.1876455,"\int \frac{8 x-4 \log (9)-8 x \log (x)}{\left(-8 x^2+4 x \log (9)\right) \log (x)+e^{4096} x \log ^2(x)} \, dx","Integrate[(8*x - 4*Log[9] - 8*x*Log[x])/((-8*x^2 + 4*x*Log[9])*Log[x] + E^4096*x*Log[x]^2),x]","4 \left(\frac{1}{4} \log \left(8 x-e^{4096} \log (x)-4 \log (9)\right)-\frac{1}{4} \log (\log (x))\right)","\log \left(e^{4096}-\frac{4 (2 x-\log (9))}{\log (x)}\right)",1,"4*(-1/4*Log[Log[x]] + Log[8*x - 4*Log[9] - E^4096*Log[x]]/4)","A",1
8214,1,22,19,0.2599592,"\int \frac{-6+22 x-24 x^2+36 x^3-18 x \log (x)}{4 x^3-24 x^4+36 x^5+\left(-12 x^2+36 x^3\right) \log (x)+9 x \log ^2(x)} \, dx","Integrate[(-6 + 22*x - 24*x^2 + 36*x^3 - 18*x*Log[x])/(4*x^3 - 24*x^4 + 36*x^5 + (-12*x^2 + 36*x^3)*Log[x] + 9*x*Log[x]^2),x]","\frac{2 (1-3 x)}{6 x^2-2 x+3 \log (x)}","-\frac{1}{x-\frac{\log (x)}{\frac{2}{3}-2 x}}",1,"(2*(1 - 3*x))/(-2*x + 6*x^2 + 3*Log[x])","A",1
8215,1,27,27,0.0535748,"\int \frac{-e^{3+x}+e^{3+x} x \log \left(e^4 x\right)+x \log ^2\left(e^4 x\right)}{e^3 x \log ^2\left(e^4 x\right)} \, dx","Integrate[(-E^(3 + x) + E^(3 + x)*x*Log[E^4*x] + x*Log[E^4*x]^2)/(E^3*x*Log[E^4*x]^2),x]","\frac{x}{e^3}+\frac{e^x (4 x+x \log (x))}{x (\log (x)+4)^2}","\frac{x}{e^3}+\frac{e^x}{\log \left(e^4 x\right)}+\frac{e^{25+e}}{4}",1,"x/E^3 + (E^x*(4*x + x*Log[x]))/(x*(4 + Log[x])^2)","A",1
8216,1,20,17,0.0029105,"\int \frac{-4+e^3 \left(-5+4 x-125 x^4\right)}{e^3} \, dx","Integrate[(-4 + E^3*(-5 + 4*x - 125*x^4))/E^3,x]","-25 x^5+2 x^2-\frac{4 x}{e^3}-5 x","x \left(-25 x^4+2 x-\frac{4}{e^3}-5\right)",1,"-5*x - (4*x)/E^3 + 2*x^2 - 25*x^5","A",1
8217,1,26,21,0.0353963,"\int \frac{128+148 x-96 x^2-96 x^3+24 x^4+24 x^5-2 x^6-2 x^7+\left(96+96 x-48 x^2-48 x^3+6 x^4+6 x^5\right) \log (5)+\left(24+24 x-6 x^2-6 x^3\right) \log ^2(5)+(2+2 x) \log ^3(5)}{64-48 x^2+12 x^4-x^6+\left(48-24 x^2+3 x^4\right) \log (5)+\left(12-3 x^2\right) \log ^2(5)+\log ^3(5)} \, dx","Integrate[(128 + 148*x - 96*x^2 - 96*x^3 + 24*x^4 + 24*x^5 - 2*x^6 - 2*x^7 + (96 + 96*x - 48*x^2 - 48*x^3 + 6*x^4 + 6*x^5)*Log[5] + (24 + 24*x - 6*x^2 - 6*x^3)*Log[5]^2 + (2 + 2*x)*Log[5]^3)/(64 - 48*x^2 + 12*x^4 - x^6 + (48 - 24*x^2 + 3*x^4)*Log[5] + (12 - 3*x^2)*Log[5]^2 + Log[5]^3),x]","2 \left(\frac{x^2}{2}+\frac{5}{2 \left(x^2-4-\log (5)\right)^2}+x\right)","x^2+\frac{5}{\left(-x^2+4+\log (5)\right)^2}+2 x+11",1,"2*(x + x^2/2 + 5/(2*(-4 + x^2 - Log[5])^2))","A",1
8218,1,9,10,0.0260194,"\int \frac{1-4 \log (x)+\log (x) \log (\log (x))}{\log (x)} \, dx","Integrate[(1 - 4*Log[x] + Log[x]*Log[Log[x]])/Log[x],x]","x \log (\log (x))-4 x","x+x (\log (\log (x))-5)+11",1,"-4*x + x*Log[Log[x]]","A",1
8219,0,0,25,0.9194483,"\int \frac{9-12 e^x+e^{x^2 \log ^2(2)} \left(-3-6 x^2 \log ^2(2)+e^x \left(3+6 x \log ^2(2)\right)\right)}{-4 e^x+e^{x^2 \log ^2(2)} \left(e^x-x\right)+3 x} \, dx","Integrate[(9 - 12*E^x + E^(x^2*Log[2]^2)*(-3 - 6*x^2*Log[2]^2 + E^x*(3 + 6*x*Log[2]^2)))/(-4*E^x + E^(x^2*Log[2]^2)*(E^x - x) + 3*x),x]","\int \frac{9-12 e^x+e^{x^2 \log ^2(2)} \left(-3-6 x^2 \log ^2(2)+e^x \left(3+6 x \log ^2(2)\right)\right)}{-4 e^x+e^{x^2 \log ^2(2)} \left(e^x-x\right)+3 x} \, dx","3 \log \left(\left(x-e^x\right) \left(e^{x^2 \log ^2(2)}-4\right)+x\right)",1,"Integrate[(9 - 12*E^x + E^(x^2*Log[2]^2)*(-3 - 6*x^2*Log[2]^2 + E^x*(3 + 6*x*Log[2]^2)))/(-4*E^x + E^(x^2*Log[2]^2)*(E^x - x) + 3*x), x]","F",-1
8220,1,22,21,0.1457415,"\int \frac{e^{\frac{e^2 (2+x)+e (4+x)}{4+x}} \left(16+8 x+2 e^2 x+x^2\right)}{80+40 x+5 x^2} \, dx","Integrate[(E^((E^2*(2 + x) + E*(4 + x))/(4 + x))*(16 + 8*x + 2*E^2*x + x^2))/(80 + 40*x + 5*x^2),x]","\frac{1}{5} e^{\frac{e (x+e (x+2)+4)}{x+4}} x","\frac{1}{5} e^{\frac{e^2 (x+2)}{x+4}+e} x",1,"(E^((E*(4 + x + E*(2 + x)))/(4 + x))*x)/5","A",1
8221,1,40,26,0.1544051,"\int \frac{\left(-4+4 e^{4-x}\right) \log ^2(x)+e^{\frac{5 x^2}{4 \log (x)}} (-5 x+10 x \log (x))}{4 e^{\frac{5 x^2}{4 \log (x)}} \log ^2(x)+\left(-28-4 e^{4-x}-4 x\right) \log ^2(x)} \, dx","Integrate[((-4 + 4*E^(4 - x))*Log[x]^2 + E^((5*x^2)/(4*Log[x]))*(-5*x + 10*x*Log[x]))/(4*E^((5*x^2)/(4*Log[x]))*Log[x]^2 + (-28 - 4*E^(4 - x) - 4*x)*Log[x]^2),x]","\frac{1}{4} \left(4 \log \left(e^{\frac{5 x^2}{4 \log (x)}+x}-e^x (x+7)-e^4\right)-4 x\right)","\log \left(-e^{\frac{5 x^2}{4 \log (x)}}+x+e^{4-x}+7\right)",1,"(-4*x + 4*Log[-E^4 + E^(x + (5*x^2)/(4*Log[x])) - E^x*(7 + x)])/4","A",1
8222,1,39,30,0.3060601,"\int \frac{-5 x^3+\exp \left(\frac{4+7 x+2 x^2-x^3+e^{2 x} \left(-4 x^2+x^3\right)}{x^2}\right) \left(-200-175 x-25 x^3+e^{2 x} \left(-175 x^3+50 x^4\right)\right)}{25 \exp \left(\frac{2 \left(4+7 x+2 x^2-x^3+e^{2 x} \left(-4 x^2+x^3\right)\right)}{x^2}\right) x^3-10 \exp \left(\frac{4+7 x+2 x^2-x^3+e^{2 x} \left(-4 x^2+x^3\right)}{x^2}\right) x^4+x^5} \, dx","Integrate[(-5*x^3 + E^((4 + 7*x + 2*x^2 - x^3 + E^(2*x)*(-4*x^2 + x^3))/x^2)*(-200 - 175*x - 25*x^3 + E^(2*x)*(-175*x^3 + 50*x^4)))/(25*E^((2*(4 + 7*x + 2*x^2 - x^3 + E^(2*x)*(-4*x^2 + x^3)))/x^2)*x^3 - 10*E^((4 + 7*x + 2*x^2 - x^3 + E^(2*x)*(-4*x^2 + x^3))/x^2)*x^4 + x^5),x]","-\frac{5 e^x}{5 e^{\frac{4}{x^2}+e^{2 x} (x-4)+\frac{7}{x}+2}-e^x x}","\frac{5}{x-5 e^{(x-4) \left(e^{2 x}-\frac{(x+1)^2}{x^2}\right)}}",1,"(-5*E^x)/(5*E^(2 + E^(2*x)*(-4 + x) + 4/x^2 + 7/x) - E^x*x)","A",1
8223,1,9,11,0.0034788,"\int e^{2+x} \left(2 x+x^2\right) \, dx","Integrate[E^(2 + x)*(2*x + x^2),x]","e^{x+2} x^2","e^{x+2} x^2+4",1,"E^(2 + x)*x^2","A",1
8224,1,24,25,0.0103629,"\int \frac{e^{5/x} \left(-75+5 e^3\right)+30 x^3-2 e^3 x^3}{5 x^2} \, dx","Integrate[(E^(5/x)*(-75 + 5*E^3) + 30*x^3 - 2*E^3*x^3)/(5*x^2),x]","\frac{1}{5} \left(e^3-15\right) \left(-x^2-e^{5/x}\right)","\frac{1}{5} \left(15-e^3\right) x \left(x+\frac{e^{5/x}}{x}\right)",1,"((-15 + E^3)*(-E^(5/x) - x^2))/5","A",1
8225,1,23,23,0.0965821,"\int \frac{\exp \left(\frac{-30+e (-25+4 x)}{-6+e (-5+2 x)}\right) \left(36 e+30 e^2\right)}{36+e (60-24 x)+e^2 \left(25-20 x+4 x^2\right)} \, dx","Integrate[(E^((-30 + E*(-25 + 4*x))/(-6 + E*(-5 + 2*x)))*(36*E + 30*E^2))/(36 + E*(60 - 24*x) + E^2*(25 - 20*x + 4*x^2)),x]","e^{\frac{-4 e x+25 e+30}{-2 e x+5 e+6}}","e^{\frac{x}{\frac{1}{3} \left(\frac{5}{2}-x\right)+\frac{1}{e}}+5}",1,"E^((30 + 25*E - 4*E*x)/(6 + 5*E - 2*E*x))","A",1
8226,1,17,17,0.1155377,"\int \frac{-3380-260 x-5 x^2-e^{16+\frac{e^{16}}{26+x}} x^2}{676 x^2+52 x^3+x^4} \, dx","Integrate[(-3380 - 260*x - 5*x^2 - E^(16 + E^16/(26 + x))*x^2)/(676*x^2 + 52*x^3 + x^4),x]","e^{\frac{e^{16}}{x+26}}+\frac{5}{x}","e^{\frac{e^{16}}{x+26}}+\frac{5}{x}",1,"E^(E^16/(26 + x)) + 5/x","A",1
8227,1,28,30,0.2359892,"\int \frac{1}{81} \exp \left(2 e^{9+6 e^{\frac{x^4}{81}} x+e^{\frac{2 x^4}{81}} x^2} x-2 x^2\right) \left(81-324 x^2+e^{9+6 e^{\frac{x^4}{81}} x+e^{\frac{2 x^4}{81}} x^2} \left(162 x+e^{\frac{x^4}{81}} \left(972 x^2+48 x^6\right)+e^{\frac{2 x^4}{81}} \left(324 x^3+16 x^7\right)\right)\right) \, dx","Integrate[(E^(2*E^(9 + 6*E^(x^4/81)*x + E^((2*x^4)/81)*x^2)*x - 2*x^2)*(81 - 324*x^2 + E^(9 + 6*E^(x^4/81)*x + E^((2*x^4)/81)*x^2)*(162*x + E^(x^4/81)*(972*x^2 + 48*x^6) + E^((2*x^4)/81)*(324*x^3 + 16*x^7))))/81,x]","e^{2 \left(e^{\left(e^{\frac{x^4}{81}} x+3\right)^2}-x\right) x} x","e^{-2 x \left(x-e^{\left(e^{\frac{x^4}{81}} x+3\right)^2}\right)} x+5",1,"E^(2*(E^(3 + E^(x^4/81)*x)^2 - x)*x)*x","A",1
8228,1,62,31,0.629449,"\int \frac{27-45 x+156 x^2-28 x^3+e^{5-x} \left(-27 x^2+17 x^3-4 x^4\right)+\left(30 x^2-5 x^3+e^{5-x} \left(-6 x^2+4 x^3-x^4\right)\right) \log (x)}{27 x-18 x^2+3 x^3} \, dx","Integrate[(27 - 45*x + 156*x^2 - 28*x^3 + E^(5 - x)*(-27*x^2 + 17*x^3 - 4*x^4) + (30*x^2 - 5*x^3 + E^(5 - x)*(-6*x^2 + 4*x^3 - x^4))*Log[x])/(27*x - 18*x^2 + 3*x^3),x]","\frac{e^{-x} \left(4 e^5 x^2+e^x \left(-23 x^2+69 x-180\right)+\left(e^5 x^2+e^x \left(-5 x^2+3 x-9\right)\right) \log (x)\right)}{3 (x-3)}","\frac{\left(e^{5-x}-5\right) x^2 (\log (x)+4)}{3 (x-3)}-x+\log (x)",1,"(4*E^5*x^2 + E^x*(-180 + 69*x - 23*x^2) + (E^5*x^2 + E^x*(-9 + 3*x - 5*x^2))*Log[x])/(3*E^x*(-3 + x))","A",1
8229,1,18,18,0.0145356,"\int \frac{-2-5 x^5 \log (\log (5))}{2 x \log ^2\left(x^2\right)+4 x^6 \log \left(x^2\right) \log (\log (5))+2 x^{11} \log ^2(\log (5))} \, dx","Integrate[(-2 - 5*x^5*Log[Log[5]])/(2*x*Log[x^2]^2 + 4*x^6*Log[x^2]*Log[Log[5]] + 2*x^11*Log[Log[5]]^2),x]","\frac{1}{2 \left(x^5 \log (\log (5))+\log \left(x^2\right)\right)}","\frac{1}{2 \left(x^5 \log (\log (5))+\log \left(x^2\right)\right)}",1,"1/(2*(Log[x^2] + x^5*Log[Log[5]]))","A",1
8230,1,25,23,0.0218105,"\int \frac{-7+\left(-7-7 e^2+35 e^3\right) \log \left(\frac{1}{x}\right)+7 \log \left(\frac{1}{x}\right) \log \left(\frac{\log \left(\frac{1}{x}\right)}{x}\right)}{\log \left(\frac{1}{x}\right)} \, dx","Integrate[(-7 + (-7 - 7*E^2 + 35*E^3)*Log[x^(-1)] + 7*Log[x^(-1)]*Log[Log[x^(-1)]/x])/Log[x^(-1)],x]","35 e^3 x-7 e^2 x+7 x \log \left(\frac{\log \left(\frac{1}{x}\right)}{x}\right)","-7 x \left(-\log \left(\frac{\log \left(\frac{1}{x}\right)}{x}\right)-5 e^3+e^2\right)",1,"-7*E^2*x + 35*E^3*x + 7*x*Log[Log[x^(-1)]/x]","A",1
8231,1,44,31,2.8081538,"\int \frac{\exp \left(\frac{-11+e^2-e^4-2 e^{4 x}+2 x-\log (3)}{5+e^{4 x}-x}\right) \left(-1+e^2-e^4-\log (3)+e^{4 x} \left(4-4 e^2+4 e^4+4 \log (3)\right)\right)}{25+e^{8 x}+e^{4 x} (10-2 x)-10 x+x^2} \, dx","Integrate[(E^((-11 + E^2 - E^4 - 2*E^(4*x) + 2*x - Log[3])/(5 + E^(4*x) - x))*(-1 + E^2 - E^4 - Log[3] + E^(4*x)*(4 - 4*E^2 + 4*E^4 + 4*Log[3])))/(25 + E^(8*x) + E^(4*x)*(10 - 2*x) - 10*x + x^2),x]","3^{-\frac{1}{-x+e^{4 x}+5}} e^{\frac{-1+e^2-e^4}{-x+e^{4 x}+5}-2}","e^{\frac{-1+e^2-e^4-\log (3)}{-x+e^{4 x}+5}-2}",1,"E^(-2 + (-1 + E^2 - E^4)/(5 + E^(4*x) - x))/3^(5 + E^(4*x) - x)^(-1)","A",1
8232,1,33,26,0.0828062,"\int \frac{18 x+13 x^2+4 x^3-3 x^4+x^5+e^{25} \left(36 x^2+16 x^3-8 x^4+4 x^5\right)+\left(18 x+8 x^2-4 x^3+2 x^4+e^{25} \left(72 x+32 x^2-16 x^3+8 x^4\right)\right) \log \left(\frac{9+4 x-2 x^2+x^3}{x^2}\right)+e^{25} \left(36+16 x-8 x^2+4 x^3\right) \log ^2\left(\frac{9+4 x-2 x^2+x^3}{x^2}\right)}{e^{25} \left(9 x^2+4 x^3-2 x^4+x^5\right)+e^{25} \left(18 x+8 x^2-4 x^3+2 x^4\right) \log \left(\frac{9+4 x-2 x^2+x^3}{x^2}\right)+e^{25} \left(9+4 x-2 x^2+x^3\right) \log ^2\left(\frac{9+4 x-2 x^2+x^3}{x^2}\right)} \, dx","Integrate[(18*x + 13*x^2 + 4*x^3 - 3*x^4 + x^5 + E^25*(36*x^2 + 16*x^3 - 8*x^4 + 4*x^5) + (18*x + 8*x^2 - 4*x^3 + 2*x^4 + E^25*(72*x + 32*x^2 - 16*x^3 + 8*x^4))*Log[(9 + 4*x - 2*x^2 + x^3)/x^2] + E^25*(36 + 16*x - 8*x^2 + 4*x^3)*Log[(9 + 4*x - 2*x^2 + x^3)/x^2]^2)/(E^25*(9*x^2 + 4*x^3 - 2*x^4 + x^5) + E^25*(18*x + 8*x^2 - 4*x^3 + 2*x^4)*Log[(9 + 4*x - 2*x^2 + x^3)/x^2] + E^25*(9 + 4*x - 2*x^2 + x^3)*Log[(9 + 4*x - 2*x^2 + x^3)/x^2]^2),x]","\frac{\frac{x^2}{\log \left(\frac{9}{x^2}+x+\frac{4}{x}-2\right)+x}+4 e^{25} x}{e^{25}}","x \left(\frac{x}{e^{25} \left(\log \left(\frac{4 x+9}{x^2}+x-2\right)+x\right)}+4\right)",1,"(4*E^25*x + x^2/(x + Log[-2 + 9/x^2 + 4/x + x]))/E^25","A",1
8233,1,28,29,1.569044,"\int \frac{-12 x-6 e^x x+3 x^2+\left(e^x (24-6 x)-6 x\right) \log (x)+(24-6 x) \log ^2(x)+\left(12-3 x+e^x \left(12 x-3 x^2\right)\right) \log \left(e^{\log ^2(x)} \left(48-24 x+3 x^2\right)\right)}{-4 x^3+x^4+\left(e^x \left(8 x^2-2 x^3\right)+\left(8 x^2-2 x^3\right) \log (x)\right) \log \left(e^{\log ^2(x)} \left(48-24 x+3 x^2\right)\right)+\left(e^{2 x} \left(-4 x+x^2\right)+e^x \left(-8 x+2 x^2\right) \log (x)+\left(-4 x+x^2\right) \log ^2(x)\right) \log ^2\left(e^{\log ^2(x)} \left(48-24 x+3 x^2\right)\right)} \, dx","Integrate[(-12*x - 6*E^x*x + 3*x^2 + (E^x*(24 - 6*x) - 6*x)*Log[x] + (24 - 6*x)*Log[x]^2 + (12 - 3*x + E^x*(12*x - 3*x^2))*Log[E^Log[x]^2*(48 - 24*x + 3*x^2)])/(-4*x^3 + x^4 + (E^x*(8*x^2 - 2*x^3) + (8*x^2 - 2*x^3)*Log[x])*Log[E^Log[x]^2*(48 - 24*x + 3*x^2)] + (E^(2*x)*(-4*x + x^2) + E^x*(-8*x + 2*x^2)*Log[x] + (-4*x + x^2)*Log[x]^2)*Log[E^Log[x]^2*(48 - 24*x + 3*x^2)]^2),x]","-\frac{3}{x-\log \left(3 (x-4)^2 e^{\log ^2(x)}\right) \left(e^x+\log (x)\right)}","\frac{3}{\log \left(3 (x-4)^2 e^{\log ^2(x)}\right) \left(e^x+\log (x)\right)-x}",1,"-3/(x - Log[3*E^Log[x]^2*(-4 + x)^2]*(E^x + Log[x]))","A",1
8234,1,20,23,0.0462925,"\int \frac{-5+\left(-10+e^x (-8-4 x)-5 x\right) \log (4+2 x)}{(10+5 x) \log (4+2 x)} \, dx","Integrate[(-5 + (-10 + E^x*(-8 - 4*x) - 5*x)*Log[4 + 2*x])/((10 + 5*x)*Log[4 + 2*x]),x]","-x-\frac{4 e^x}{5}-\log (\log (2 (x+2)))","-\frac{4}{5} \left(e^x+1\right)-x-\log (\log (2 x+4))+4",1,"(-4*E^x)/5 - x - Log[Log[2*(2 + x)]]","A",1
8235,1,32,30,0.0166772,"\int \frac{3+3 e^3+8 x^2+\left(1+e^3+6 x^2\right) \log (2)}{x^2+x^2 \log (2)} \, dx","Integrate[(3 + 3*E^3 + 8*x^2 + (1 + E^3 + 6*x^2)*Log[2])/(x^2 + x^2*Log[2]),x]","-\frac{-\left(x^2 (8+\log (64))\right)+3+e^3 (3+\log (2))+\log (2)}{x (1+\log (2))}","5 x-\left(-x+\frac{1+e^3}{x}+4\right) \left(1+\frac{2}{1+\log (2)}\right)",1,"-((3 + Log[2] + E^3*(3 + Log[2]) - x^2*(8 + Log[64]))/(x*(1 + Log[2])))","A",1
8236,1,24,24,0.057866,"\int \frac{15 e^5-30 e^5 \log \left(\frac{4}{x}\right)-e^{e^x+x} x^3 \log ^2\left(\frac{4}{x}\right)}{x^3 \log ^2\left(\frac{4}{x}\right)} \, dx","Integrate[(15*E^5 - 30*E^5*Log[4/x] - E^(E^x + x)*x^3*Log[4/x]^2)/(x^3*Log[4/x]^2),x]","\frac{15 e^5}{x^2 \log \left(\frac{4}{x}\right)}-e^{e^x}","\frac{15 e^5}{x^2 \log \left(\frac{4}{x}\right)}-e^{e^x}",1,"-E^E^x + (15*E^5)/(x^2*Log[4/x])","A",1
8237,1,28,23,0.1008955,"\int \frac{-686 x-1064 x^2-672 x^3+128 x^4+\left(-686 x+56 x^2-32 x^3+128 x^4\right) \log \left(\frac{2401 x^2+2352 x^3+2144 x^4+768 x^5+256 x^6}{2401-5488 x+4704 x^2-1792 x^3+256 x^4}\right)}{-343+28 x-16 x^2+64 x^3} \, dx","Integrate[(-686*x - 1064*x^2 - 672*x^3 + 128*x^4 + (-686*x + 56*x^2 - 32*x^3 + 128*x^4)*Log[(2401*x^2 + 2352*x^3 + 2144*x^4 + 768*x^5 + 256*x^6)/(2401 - 5488*x + 4704*x^2 - 1792*x^3 + 256*x^4)])/(-343 + 28*x - 16*x^2 + 64*x^3),x]","x^2 \log \left(\frac{x^2 \left(16 x^2+24 x+49\right)^2}{(4 x-7)^4}\right)","x^2 \log \left(\left(\frac{5 x^2}{\left(\frac{7}{4}-x\right)^2}+x\right)^2\right)",1,"x^2*Log[(x^2*(49 + 24*x + 16*x^2)^2)/(-7 + 4*x)^4]","A",1
8238,1,24,27,0.3327549,"\int \frac{e^2 \left(48 x^2-18 x^3-4 x^4\right)+4 e^2 x^3 \log (x)}{64-64 x-16 x^2+16 x^3+4 x^4+\left(16 x-8 x^2-4 x^3\right) \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(E^2*(48*x^2 - 18*x^3 - 4*x^4) + 4*E^2*x^3*Log[x])/(64 - 64*x - 16*x^2 + 16*x^3 + 4*x^4 + (16*x - 8*x^2 - 4*x^3)*Log[x] + x^2*Log[x]^2),x]","\frac{2 e^2 x^3}{-2 x^2-4 x+x \log (x)+8}","\frac{e^2 x^2}{-x+\frac{x+4}{x}+\frac{\log (x)}{2}-3}",1,"(2*E^2*x^3)/(8 - 4*x - 2*x^2 + x*Log[x])","A",1
8239,1,27,27,0.1817012,"\int \frac{\exp \left(\frac{e^{2 x}+\left(-x+x^2\right) \log \left(\frac{1}{13} (65+5 x \log (2))\right)}{\log \left(\frac{1}{13} (65+5 x \log (2))\right)}\right) \left(-e^{2 x} \log (2)+e^{2 x} (26+2 x \log (2)) \log \left(\frac{1}{13} (65+5 x \log (2))\right)+\left(-13+26 x+\left(-x+2 x^2\right) \log (2)\right) \log ^2\left(\frac{1}{13} (65+5 x \log (2))\right)\right)}{(13+x \log (2)) \log ^2\left(\frac{1}{13} (65+5 x \log (2))\right)} \, dx","Integrate[(E^((E^(2*x) + (-x + x^2)*Log[(65 + 5*x*Log[2])/13])/Log[(65 + 5*x*Log[2])/13])*(-(E^(2*x)*Log[2]) + E^(2*x)*(26 + 2*x*Log[2])*Log[(65 + 5*x*Log[2])/13] + (-13 + 26*x + (-x + 2*x^2)*Log[2])*Log[(65 + 5*x*Log[2])/13]^2))/((13 + x*Log[2])*Log[(65 + 5*x*Log[2])/13]^2),x]","e^{x^2-x+\frac{e^{2 x}}{\log \left(\frac{5}{13} x \log (2)+5\right)}}","e^{x^2-x+\frac{e^{2 x}}{\log \left(\frac{5}{13} x \log (2)+5\right)}}",1,"E^(-x + x^2 + E^(2*x)/Log[5 + (5*x*Log[2])/13])","A",1
8240,1,27,26,0.1669268,"\int \left(1-4 x+e^{e^{\frac{-5+3 x}{x}}} \left(-5 e^{\frac{-5+3 x}{x}} x-3 x^2\right)+e^x \left(2 x+x^2\right)\right) \, dx","Integrate[1 - 4*x + E^E^((-5 + 3*x)/x)*(-5*E^((-5 + 3*x)/x)*x - 3*x^2) + E^x*(2*x + x^2),x]","-e^{e^{3-\frac{5}{x}}} x^3+\left(e^x-2\right) x^2+x","\left(-e^{e^{3-\frac{5}{x}}} x+e^x-2\right) x^2+x-2",1,"x + (-2 + E^x)*x^2 - E^E^(3 - 5/x)*x^3","A",1
8241,1,5,7,0.008598,"\int \frac{1}{x \log (2 x)} \, dx","Integrate[1/(x*Log[2*x]),x]","\log (\log (2 x))","\log (-\log (2 x))",1,"Log[Log[2*x]]","A",1
8242,1,21,19,0.0667224,"\int \frac{-30 x+(-5-x) \log (4)+6 x^2 \log (x)}{-5 x+x^2 \log (x)} \, dx","Integrate[(-30*x + (-5 - x)*Log[4] + 6*x^2*Log[x])/(-5*x + x^2*Log[x]),x]","6 x+\log (4) \log (x)-\log (4) \log (5-x \log (x))","6 x-\log (4) \log \left(\frac{5}{x}-\log (x)\right)",1,"6*x + Log[4]*Log[x] - Log[4]*Log[5 - x*Log[x]]","A",1
8243,1,23,28,0.4287568,"\int \frac{e^{-x} \left(1+e^{2 x} (2-x)+11 x-x^2+x^3\right)}{1-2 x+x^2} \, dx","Integrate[(1 + E^(2*x)*(2 - x) + 11*x - x^2 + x^3)/(E^x*(1 - 2*x + x^2)),x]","-\frac{e^{-x} \left(x^2+x+e^{2 x}+10\right)}{x-1}","3-\frac{x^2+x+e^{2 x}+10}{e^x x-e^x}",1,"-((10 + E^(2*x) + x + x^2)/(E^x*(-1 + x)))","A",1
8244,1,10,19,0.0019026,"\int \frac{-9-x}{7+x} \, dx","Integrate[(-9 - x)/(7 + x),x]","-x-2 \log (x+7)","-x-\log \left(\frac{1}{25} (-x-7)^2\right)-7",1,"-x - 2*Log[7 + x]","A",1
8245,0,0,22,0.6023041,"\int \frac{(4+20 x-8 \log (x)) \log \left(\frac{100 x^2-40 x \log (x)+4 \log ^2(x)}{x^4}\right)+(10 x-2 \log (x)) \log ^2\left(\frac{100 x^2-40 x \log (x)+4 \log ^2(x)}{x^4}\right)}{-5 x^4+x^3 \log (x)} \, dx","Integrate[((4 + 20*x - 8*Log[x])*Log[(100*x^2 - 40*x*Log[x] + 4*Log[x]^2)/x^4] + (10*x - 2*Log[x])*Log[(100*x^2 - 40*x*Log[x] + 4*Log[x]^2)/x^4]^2)/(-5*x^4 + x^3*Log[x]),x]","\int \frac{(4+20 x-8 \log (x)) \log \left(\frac{100 x^2-40 x \log (x)+4 \log ^2(x)}{x^4}\right)+(10 x-2 \log (x)) \log ^2\left(\frac{100 x^2-40 x \log (x)+4 \log ^2(x)}{x^4}\right)}{-5 x^4+x^3 \log (x)} \, dx","\frac{\log ^2\left(\frac{4 \left(\frac{\log (x)}{x}-5\right)^2}{x^2}\right)}{x^2}",1,"Integrate[((4 + 20*x - 8*Log[x])*Log[(100*x^2 - 40*x*Log[x] + 4*Log[x]^2)/x^4] + (10*x - 2*Log[x])*Log[(100*x^2 - 40*x*Log[x] + 4*Log[x]^2)/x^4]^2)/(-5*x^4 + x^3*Log[x]), x]","F",-1
8246,1,39,33,0.3462651,"\int \frac{\left(486 x-324 x^2-108 x^3+144 x^4-42 x^5+4 x^6+e^x \left(-162 x+216 x^2-108 x^3+24 x^4-2 x^5\right)+\left(324-108 x-216 x^2+168 x^3-44 x^4+4 x^5\right) \log (x)\right) \log \left(e^x-x-x^2+\log (5)-2 x \log (x)-\log ^2(x)\right)+\left(-270 x^2+54 x^3+180 x^4-116 x^5+26 x^6-2 x^7+e^x \left(270 x-324 x^2+144 x^3-28 x^4+2 x^5\right)+\left(270 x-324 x^2+144 x^3-28 x^4+2 x^5\right) \log (5)+\left(-540 x^2+648 x^3-288 x^4+56 x^5-4 x^6\right) \log (x)+\left(-270 x+324 x^2-144 x^3+28 x^4-2 x^5\right) \log ^2(x)\right) \log ^2\left(e^x-x-x^2+\log (5)-2 x \log (x)-\log ^2(x)\right)}{-e^{3 x} x+e^{2 x} \left(x^2+x^3-x \log (5)\right)+2 e^{2 x} x^2 \log (x)+e^{2 x} x \log ^2(x)} \, dx","Integrate[((486*x - 324*x^2 - 108*x^3 + 144*x^4 - 42*x^5 + 4*x^6 + E^x*(-162*x + 216*x^2 - 108*x^3 + 24*x^4 - 2*x^5) + (324 - 108*x - 216*x^2 + 168*x^3 - 44*x^4 + 4*x^5)*Log[x])*Log[E^x - x - x^2 + Log[5] - 2*x*Log[x] - Log[x]^2] + (-270*x^2 + 54*x^3 + 180*x^4 - 116*x^5 + 26*x^6 - 2*x^7 + E^x*(270*x - 324*x^2 + 144*x^3 - 28*x^4 + 2*x^5) + (270*x - 324*x^2 + 144*x^3 - 28*x^4 + 2*x^5)*Log[5] + (-540*x^2 + 648*x^3 - 288*x^4 + 56*x^5 - 4*x^6)*Log[x] + (-270*x + 324*x^2 - 144*x^3 + 28*x^4 - 2*x^5)*Log[x]^2)*Log[E^x - x - x^2 + Log[5] - 2*x*Log[x] - Log[x]^2]^2)/(-(E^(3*x)*x) + E^(2*x)*(x^2 + x^3 - x*Log[5]) + 2*E^(2*x)*x^2*Log[x] + E^(2*x)*x*Log[x]^2),x]","e^{-2 x} (x-3)^4 \log ^2\left(-x^2-x+e^x-\log ^2(x)-2 x \log (x)+\log (5)\right)","e^{-2 x} (3-x)^4 \log ^2\left(e^x-x-(x+\log (x))^2+\log (5)\right)",1,"((-3 + x)^4*Log[E^x - x - x^2 + Log[5] - 2*x*Log[x] - Log[x]^2]^2)/E^(2*x)","A",1
8247,1,22,24,0.225509,"\int \frac{(1+9 x) \log (x)+(-22-9 x-\log (x)) \log \left(\frac{1}{2} (22+9 x+\log (x))\right)}{\left(22 x+9 x^2\right) \log ^2(x)+x \log ^3(x)} \, dx","Integrate[((1 + 9*x)*Log[x] + (-22 - 9*x - Log[x])*Log[(22 + 9*x + Log[x])/2])/((22*x + 9*x^2)*Log[x]^2 + x*Log[x]^3),x]","\frac{\log (9 x+\log (x)+22)}{\log (x)}-\frac{\log (2)}{\log (x)}","\frac{\log \left(5 \left(x+\frac{1}{10} (-x+\log (x)+2)+2\right)\right)}{\log (x)}+4",1,"-(Log[2]/Log[x]) + Log[22 + 9*x + Log[x]]/Log[x]","A",1
8248,1,16,20,0.1374685,"\int \frac{4 x+2 x^2+e^{\log \left(e^x x\right) \log (2+x)} \left(-x \log \left(e^x x\right)+\left(-2-3 x-x^2\right) \log (2+x)\right)}{2 x+x^2} \, dx","Integrate[(4*x + 2*x^2 + E^(Log[E^x*x]*Log[2 + x])*(-(x*Log[E^x*x]) + (-2 - 3*x - x^2)*Log[2 + x]))/(2*x + x^2),x]","2 x-\left(e^x x\right)^{\log (x+2)}","2 x-e^{\log \left(e^x x\right) \log (x+2)}-4",1,"2*x - (E^x*x)^Log[2 + x]","A",1
8249,1,37,27,0.0760177,"\int \frac{-4 e^{12+x}+4 e^{10+x} \log ^2\left(\frac{-1+e^{4+x}}{e^4}\right)+\left(1-e^{4+x}\right) \log ^5\left(\frac{-1+e^{4+x}}{e^4}\right)}{\left(-1+e^{4+x}\right) \log ^5\left(\frac{-1+e^{4+x}}{e^4}\right)} \, dx","Integrate[(-4*E^(12 + x) + 4*E^(10 + x)*Log[(-1 + E^(4 + x))/E^4]^2 + (1 - E^(4 + x))*Log[(-1 + E^(4 + x))/E^4]^5)/((-1 + E^(4 + x))*Log[(-1 + E^(4 + x))/E^4]^5),x]","-x-\frac{2 e^6}{\left(\log \left(e^{x+4}-1\right)-4\right)^2}+\frac{e^8}{\left(\log \left(e^{x+4}-1\right)-4\right)^4}","\left(e^2-\frac{e^4}{\log ^2\left(e^x-\frac{1}{e^4}\right)}\right)^2-x",1,"-x + E^8/(-4 + Log[-1 + E^(4 + x)])^4 - (2*E^6)/(-4 + Log[-1 + E^(4 + x)])^2","A",1
8250,1,13,24,0.0027111,"\int \frac{\left(-6 x^2-48 \log (2)\right) \log (3)}{x^2} \, dx","Integrate[((-6*x^2 - 48*Log[2])*Log[3])/x^2,x]","-6 \log (3) \left(x-\frac{\log (256)}{x}\right)","\frac{\log (3) \left(x^2+x-(6 (x-8)+x) (x+\log (2))\right)}{x}",1,"-6*Log[3]*(x - Log[256]/x)","A",1
8251,1,25,18,0.0129876,"\int \left(1-255 x^4+e^{2 x} \left(-153 x^2-102 x^3\right)+e^x \left(408 x^3+102 x^4\right)\right) \, dx","Integrate[1 - 255*x^4 + E^(2*x)*(-153*x^2 - 102*x^3) + E^x*(408*x^3 + 102*x^4),x]","-51 x^5+102 e^x x^4-51 e^{2 x} x^3+x","x-51 x \left(e^x x-x^2\right)^2",1,"x - 51*E^(2*x)*x^3 + 102*E^x*x^4 - 51*x^5","A",1
8252,1,23,24,0.1933929,"\int \frac{e^{8+2 x^2-e^{2 x^2} x^2} \left(-2 x-4 x^3\right) \log (x)+\log ^{x^2}(x) (x+2 x \log (x) \log (\log (x)))}{\log (x)} \, dx","Integrate[(E^(8 + 2*x^2 - E^(2*x^2)*x^2)*(-2*x - 4*x^3)*Log[x] + Log[x]^x^2*(x + 2*x*Log[x]*Log[Log[x]]))/Log[x],x]","e^{8-e^{2 x^2} x^2}+\log ^{x^2}(x)","e^{8-e^{2 x^2} x^2}+\log ^{x^2}(x)+25",1,"E^(8 - E^(2*x^2)*x^2) + Log[x]^x^2","A",1
8253,1,29,29,0.2521408,"\int \frac{\left(16-40 x-4 x^2\right) \log (16)}{\left(-5-6 x+4 x^2+x^3\right) \log (4) \log ^3\left(\frac{1+2 x-x^2-2 x^3+x^4}{50+20 x+2 x^2}\right)} \, dx","Integrate[((16 - 40*x - 4*x^2)*Log[16])/((-5 - 6*x + 4*x^2 + x^3)*Log[4]*Log[(1 + 2*x - x^2 - 2*x^3 + x^4)/(50 + 20*x + 2*x^2)]^3),x]","\frac{\log (16)}{\log (4) \log ^2\left(\frac{\left(-x^2+x+1\right)^2}{2 (x+5)^2}\right)}","\frac{\log (16)}{\log (4) \log ^2\left(\frac{\left(-x^2+x+1\right)^2}{2 (x+5)^2}\right)}",1,"Log[16]/(Log[4]*Log[(1 + x - x^2)^2/(2*(5 + x)^2)]^2)","A",1
8254,1,25,27,0.3347997,"\int \frac{-8+8 x-2 x^2+\left(-16 x+12 x^2-2 x^3-2 x \log (4)\right) \log (x)+4 x \log (x) \log (\log (x))}{\left(-16 x+24 x^2-12 x^3+2 x^4+\left(-4 x+4 x^2-x^3\right) \log (4)\right) \log (x)+\left(8 x-8 x^2+2 x^3\right) \log (x) \log (\log (x))} \, dx","Integrate[(-8 + 8*x - 2*x^2 + (-16*x + 12*x^2 - 2*x^3 - 2*x*Log[4])*Log[x] + 4*x*Log[x]*Log[Log[x]])/((-16*x + 24*x^2 - 12*x^3 + 2*x^4 + (-4*x + 4*x^2 - x^3)*Log[4])*Log[x] + (8*x - 8*x^2 + 2*x^3)*Log[x]*Log[Log[x]]),x]","-2 \left(\frac{1}{x-2}+\frac{1}{2} \log (-2 x-2 \log (\log (x))+4+\log (4))\right)","\frac{x}{2-x}-\log (2 (x+\log (\log (x)))-4-\log (4))+4",1,"-2*((-2 + x)^(-1) + Log[4 - 2*x + Log[4] - 2*Log[Log[x]]]/2)","A",1
8255,1,12,19,0.0037075,"\int \frac{5-2 x-x^2}{5 x+x^2} \, dx","Integrate[(5 - 2*x - x^2)/(5*x + x^2),x]","-x+\log (x)+2 \log (x+5)","-x+\log \left(4 e^5 x\right)+\log \left(4 (x+5)^2\right)",1,"-x + Log[x] + 2*Log[5 + x]","A",1
8256,1,22,22,0.0749038,"\int \frac{37968750000+16 e^{20 x^2}-31104 x+7593750000 x^2+607500000 x^4+24300000 x^6+486000 x^8+3888 x^{10}+e^{16 x^2} \left(6000+240 x^2\right)+e^{12 x^2} \left(900000+72000 x^2+1440 x^4\right)+e^{8 x^2} \left(67500000+8100000 x^2+324000 x^4+4320 x^6\right)+e^{4 x^2} \left(2531250000-41472 x+405000000 x^2+24300000 x^4+648000 x^6+6480 x^8\right)}{2373046875+e^{20 x^2}+474609375 x^2+37968750 x^4+1518750 x^6+30375 x^8+243 x^{10}+e^{16 x^2} \left(375+15 x^2\right)+e^{12 x^2} \left(56250+4500 x^2+90 x^4\right)+e^{8 x^2} \left(4218750+506250 x^2+20250 x^4+270 x^6\right)+e^{4 x^2} \left(158203125+25312500 x^2+1518750 x^4+40500 x^6+405 x^8\right)} \, dx","Integrate[(37968750000 + 16*E^(20*x^2) - 31104*x + 7593750000*x^2 + 607500000*x^4 + 24300000*x^6 + 486000*x^8 + 3888*x^10 + E^(16*x^2)*(6000 + 240*x^2) + E^(12*x^2)*(900000 + 72000*x^2 + 1440*x^4) + E^(8*x^2)*(67500000 + 8100000*x^2 + 324000*x^4 + 4320*x^6) + E^(4*x^2)*(2531250000 - 41472*x + 405000000*x^2 + 24300000*x^4 + 648000*x^6 + 6480*x^8))/(2373046875 + E^(20*x^2) + 474609375*x^2 + 37968750*x^4 + 1518750*x^6 + 30375*x^8 + 243*x^10 + E^(16*x^2)*(375 + 15*x^2) + E^(12*x^2)*(56250 + 4500*x^2 + 90*x^4) + E^(8*x^2)*(4218750 + 506250*x^2 + 20250*x^4 + 270*x^6) + E^(4*x^2)*(158203125 + 25312500*x^2 + 1518750*x^4 + 40500*x^6 + 405*x^8)),x]","16 \left(\frac{81}{\left(3 x^2+e^{4 x^2}+75\right)^4}+x\right)","16 \left(\frac{1}{\left(x^2+\frac{e^{4 x^2}}{3}+25\right)^4}+x\right)",1,"16*(x + 81/(75 + E^(4*x^2) + 3*x^2)^4)","A",1
8257,1,38,23,0.0510172,"\int \frac{384+320 e^3+88 e^6+8 e^9-1000 e^{24} x^3+e^8 \left(-1760 x-920 e^3 x-120 e^6 x\right)+e^{16} \left(2400 x^2+600 e^3 x^2\right)}{-64-144 x-108 x^2-27 x^3+e^3 \left(-48-120 x-99 x^2-27 x^3\right)+e^6 \left(-12-33 x-30 x^2-9 x^3\right)+e^9 \left(-1-3 x-3 x^2-x^3\right)+e^{24} \left(125 x^3+375 x^4+375 x^5+125 x^6\right)+e^8 \left(240 x+600 x^2+495 x^3+135 x^4+e^6 \left(15 x+45 x^2+45 x^3+15 x^4\right)+e^3 \left(120 x+330 x^2+300 x^3+90 x^4\right)\right)+e^{16} \left(-300 x^2-825 x^3-750 x^4-225 x^5+e^3 \left(-75 x^2-225 x^3-225 x^4-75 x^5\right)\right)} \, dx","Integrate[(384 + 320*E^3 + 88*E^6 + 8*E^9 - 1000*E^24*x^3 + E^8*(-1760*x - 920*E^3*x - 120*E^6*x) + E^16*(2400*x^2 + 600*E^3*x^2))/(-64 - 144*x - 108*x^2 - 27*x^3 + E^3*(-48 - 120*x - 99*x^2 - 27*x^3) + E^6*(-12 - 33*x - 30*x^2 - 9*x^3) + E^9*(-1 - 3*x - 3*x^2 - x^3) + E^24*(125*x^3 + 375*x^4 + 375*x^5 + 125*x^6) + E^8*(240*x + 600*x^2 + 495*x^3 + 135*x^4 + E^6*(15*x + 45*x^2 + 45*x^3 + 15*x^4) + E^3*(120*x + 330*x^2 + 300*x^3 + 90*x^4)) + E^16*(-300*x^2 - 825*x^3 - 750*x^4 - 225*x^5 + E^3*(-75*x^2 - 225*x^3 - 225*x^4 - 75*x^5))),x]","\frac{4 \left(-5 e^8 x+e^3+4\right)^2}{\left(-5 e^8 (x+1) x+3 x+e^3 (x+1)+4\right)^2}","\frac{4}{\left(-\frac{x}{-5 e^8 x+e^3+4}+x+1\right)^2}",1,"(4*(4 + E^3 - 5*E^8*x)^2)/(4 + 3*x + E^3*(1 + x) - 5*E^8*x*(1 + x))^2","A",1
8258,1,22,25,0.0094648,"\int \frac{e^{14+2 x} (-3+6 x)}{2 e^4 x^2+5 x^2 \log (3)} \, dx","Integrate[(E^(14 + 2*x)*(-3 + 6*x))/(2*E^4*x^2 + 5*x^2*Log[3]),x]","\frac{3 e^{2 (x+7)}}{x \left(2 e^4+\log (243)\right)}","\frac{3 e^{2 x+10}}{x \left(2+\frac{5 \log (3)}{e^4}\right)}+3",1,"(3*E^(2*(7 + x)))/(x*(2*E^4 + Log[243]))","A",1
8259,1,24,33,0.0186688,"\int \frac{10800-3258 x^2-e^x x^2+954 x^3-81 x^4}{x^2} \, dx","Integrate[(10800 - 3258*x^2 - E^x*x^2 + 954*x^3 - 81*x^4)/x^2,x]","-27 x^3+477 x^2-3258 x-e^x-\frac{10800}{x}","3 \left(3 \left(-\frac{3 (x-5)^2 (x-4)^2}{x^2}-x+1\right) x-1\right)-e^x",1,"-E^x - 10800/x - 3258*x + 477*x^2 - 27*x^3","A",1
8260,1,11,11,0.0050649,"\int \frac{e^{15/x} \left(60-15 x+x^2\right)}{x^2} \, dx","Integrate[(E^(15/x)*(60 - 15*x + x^2))/x^2,x]","e^{15/x} (x-4)","e^{15/x} (x-4)",1,"E^(15/x)*(-4 + x)","A",1
8261,1,39,25,0.2677436,"\int \frac{-25+e^{2 x}-10 x+(5+2 x) \log (3)+\left(-10 x^2+2 x^2 \log (3)\right) \log (x)+\left(-10 x+2 e^{2 x} x+2 x \log (3)\right) \log (x) \log (\log (x))}{(-5 x+x \log (3)) \log (x)} \, dx","Integrate[(-25 + E^(2*x) - 10*x + (5 + 2*x)*Log[3] + (-10*x^2 + 2*x^2*Log[3])*Log[x] + (-10*x + 2*E^(2*x)*x + 2*x*Log[3])*Log[x]*Log[Log[x]])/((-5*x + x*Log[3])*Log[x]),x]","\frac{x^2 \left(\frac{\log (9)}{2}-5\right)+\left(e^{2 x}+x (\log (9)-10)-25+\log (243)\right) \log (\log (x))}{\log (3)-5}","x^2+\left(2 x+\frac{e^{2 x}}{\log (3)-5}+5\right) \log (\log (x))",1,"(x^2*(-5 + Log[9]/2) + (-25 + E^(2*x) + x*(-10 + Log[9]) + Log[243])*Log[Log[x]])/(-5 + Log[3])","A",1
8262,1,18,18,0.0974105,"\int \frac{e^{6+2 x} (-2+4 x)}{5 e^{12+4 x}-10 e^{6+2 x} x+5 x^2} \, dx","Integrate[(E^(6 + 2*x)*(-2 + 4*x))/(5*E^(12 + 4*x) - 10*E^(6 + 2*x)*x + 5*x^2),x]","-\frac{2 x}{5 \left(e^{2 x+6}-x\right)}","\frac{2 x}{5 \left(x-e^{2 (x+3)}\right)}",1,"(-2*x)/(5*(E^(6 + 2*x) - x))","A",1
8263,1,49,33,0.1984317,"\int \frac{\exp \left(\frac{1}{3} \left(9-x \log \left(\frac{-5 x^2+\log (5)-x^2 \log \left(-4+2 x+x^2\right)}{5 x+x \log \left(-4+2 x+x^2\right)}\right)\right)\right) \left(100 x^2-50 x^3-25 x^4+\left(20-12 x-7 x^2\right) \log (5)+\left(40 x^2-20 x^3-10 x^4+\left(4-2 x-x^2\right) \log (5)\right) \log \left(-4+2 x+x^2\right)+\left(4 x^2-2 x^3-x^4\right) \log ^2\left(-4+2 x+x^2\right)+\left(100 x^2-50 x^3-25 x^4+\left(-20+10 x+5 x^2\right) \log (5)+\left(40 x^2-20 x^3-10 x^4+\left(-4+2 x+x^2\right) \log (5)\right) \log \left(-4+2 x+x^2\right)+\left(4 x^2-2 x^3-x^4\right) \log ^2\left(-4+2 x+x^2\right)\right) \log \left(\frac{-5 x^2+\log (5)-x^2 \log \left(-4+2 x+x^2\right)}{5 x+x \log \left(-4+2 x+x^2\right)}\right)\right)}{-300 x^2+150 x^3+75 x^4+\left(60-30 x-15 x^2\right) \log (5)+\left(-120 x^2+60 x^3+30 x^4+\left(12-6 x-3 x^2\right) \log (5)\right) \log \left(-4+2 x+x^2\right)+\left(-12 x^2+6 x^3+3 x^4\right) \log ^2\left(-4+2 x+x^2\right)} \, dx","Integrate[(E^((9 - x*Log[(-5*x^2 + Log[5] - x^2*Log[-4 + 2*x + x^2])/(5*x + x*Log[-4 + 2*x + x^2])])/3)*(100*x^2 - 50*x^3 - 25*x^4 + (20 - 12*x - 7*x^2)*Log[5] + (40*x^2 - 20*x^3 - 10*x^4 + (4 - 2*x - x^2)*Log[5])*Log[-4 + 2*x + x^2] + (4*x^2 - 2*x^3 - x^4)*Log[-4 + 2*x + x^2]^2 + (100*x^2 - 50*x^3 - 25*x^4 + (-20 + 10*x + 5*x^2)*Log[5] + (40*x^2 - 20*x^3 - 10*x^4 + (-4 + 2*x + x^2)*Log[5])*Log[-4 + 2*x + x^2] + (4*x^2 - 2*x^3 - x^4)*Log[-4 + 2*x + x^2]^2)*Log[(-5*x^2 + Log[5] - x^2*Log[-4 + 2*x + x^2])/(5*x + x*Log[-4 + 2*x + x^2])]))/(-300*x^2 + 150*x^3 + 75*x^4 + (60 - 30*x - 15*x^2)*Log[5] + (-120*x^2 + 60*x^3 + 30*x^4 + (12 - 6*x - 3*x^2)*Log[5])*Log[-4 + 2*x + x^2] + (-12*x^2 + 6*x^3 + 3*x^4)*Log[-4 + 2*x + x^2]^2),x]","e^3 \left(\frac{-5 x^2+x^2 \left(-\log \left(x^2+2 x-4\right)\right)+\log (5)}{x \left(\log \left(x^2+2 x-4\right)+5\right)}\right)^{-x/3}","\exp \left(3-\frac{1}{3} x \log \left(\frac{\log (5)}{x \left(\log \left(x^2+2 x-4\right)+5\right)}-x\right)\right)",1,"E^3/((-5*x^2 + Log[5] - x^2*Log[-4 + 2*x + x^2])/(x*(5 + Log[-4 + 2*x + x^2])))^(x/3)","A",1
8264,1,64,24,0.0115256,"\int \frac{1}{9} \left(-9+60 x^2-414 x^3+\left(200 x-2820 x^2+9450 x^3\right) \log (2 x)+\left(200 x-4500 x^2+22500 x^3\right) \log ^2(2 x)\right) \, dx","Integrate[(-9 + 60*x^2 - 414*x^3 + (200*x - 2820*x^2 + 9450*x^3)*Log[2*x] + (200*x - 4500*x^2 + 22500*x^3)*Log[2*x]^2)/9,x]","x^4+625 x^4 \log ^2(2 x)-50 x^4 \log (2 x)-\frac{500}{3} x^3 \log ^2(2 x)+\frac{20}{3} x^3 \log (2 x)+\frac{100}{9} x^2 \log ^2(2 x)-x","x^2 \left(x+\left(\frac{10}{3}-25 x\right) \log (2 x)\right)^2-x",1,"-x + x^4 + (20*x^3*Log[2*x])/3 - 50*x^4*Log[2*x] + (100*x^2*Log[2*x]^2)/9 - (500*x^3*Log[2*x]^2)/3 + 625*x^4*Log[2*x]^2","B",1
8265,1,30,37,0.0205388,"\int \frac{\exp \left(-\frac{-4+e^5 x-2 x^2+x \left(i \pi +\log \left(2-\sqrt[4]{e}\right)\right)}{x}\right) \left(-16-4 x+8 x^2\right)}{x^3} \, dx","Integrate[(-16 - 4*x + 8*x^2)/(E^((-4 + E^5*x - 2*x^2 + x*(I*Pi + Log[2 - E^(1/4)]))/x)*x^3),x]","\frac{4 e^{2 x+\frac{4}{x}-e^5}}{\left(\sqrt[4]{e}-2\right) x}","\frac{4 e^{2 x+\frac{4}{x}-i \pi -e^5}}{\left(2-\sqrt[4]{e}\right) x}",1,"(4*E^(-E^5 + 4/x + 2*x))/((-2 + E^(1/4))*x)","A",1
8266,1,46,26,0.1957426,"\int \frac{-e^{10}+2 e^5 \log \left(20 x^2\right)-\log ^2\left(20 x^2\right)+e^{-\frac{x^2}{-e^5+\log \left(20 x^2\right)}} \left(2 x+2 e^5 x-2 x \log \left(20 x^2\right)\right)}{-e^{10} x+2 e^5 x \log \left(20 x^2\right)-x \log ^2\left(20 x^2\right)+e^{-\frac{x^2}{-e^5+\log \left(20 x^2\right)}} \left(e^{10}-2 e^5 \log \left(20 x^2\right)+\log ^2\left(20 x^2\right)\right)} \, dx","Integrate[(-E^10 + 2*E^5*Log[20*x^2] - Log[20*x^2]^2 + (2*x + 2*E^5*x - 2*x*Log[20*x^2])/E^(x^2/(-E^5 + Log[20*x^2])))/(-(E^10*x) + 2*E^5*x*Log[20*x^2] - x*Log[20*x^2]^2 + (E^10 - 2*E^5*Log[20*x^2] + Log[20*x^2]^2)/E^(x^2/(-E^5 + Log[20*x^2]))),x]","\log \left(1-x e^{\frac{x^2}{\log \left(20 x^2\right)-e^5}}\right)-\frac{x^2}{\log \left(20 x^2\right)-e^5}","\log \left(e^{-\frac{x^2}{\log \left(20 x^2\right)-e^5}}-x\right)",1,"-(x^2/(-E^5 + Log[20*x^2])) + Log[1 - E^(x^2/(-E^5 + Log[20*x^2]))*x]","A",1
8267,1,22,19,0.3020991,"\int e^{25+5 x+5 x^2-\frac{e^x x^2}{2}} \left(5+10 x+\frac{1}{2} e^x \left(-2 x-x^2\right)\right) \, dx","Integrate[E^(25 + 5*x + 5*x^2 - (E^x*x^2)/2)*(5 + 10*x + (E^x*(-2*x - x^2))/2),x]","e^{-\frac{1}{2} e^x x^2+5 x^2+5 x+25}","e^{x \left(-\frac{e^x x}{2}+5 x+5\right)+25}",1,"E^(25 + 5*x + 5*x^2 - (E^x*x^2)/2)","A",1
8268,1,18,18,0.1896228,"\int \frac{20 e^x-8 e^{2 x}}{25+e^x (30+20 x)+e^{2 x} \left(9+12 x+4 x^2\right)} \, dx","Integrate[(20*E^x - 8*E^(2*x))/(25 + E^x*(30 + 20*x) + E^(2*x)*(9 + 12*x + 4*x^2)),x]","\frac{4 e^x}{e^x (2 x+3)+5}","\frac{4}{2 x+5 e^{-x}+3}-5",1,"(4*E^x)/(5 + E^x*(3 + 2*x))","A",1
8269,1,12,14,0.0091916,"\int -\frac{9}{\left(-3 x+e^5 x+x \log (x)\right) \log ^2\left(-3+e^5+\log (x)\right)} \, dx","Integrate[-9/((-3*x + E^5*x + x*Log[x])*Log[-3 + E^5 + Log[x]]^2),x]","\frac{9}{\log \left(\log (x)+e^5-3\right)}","\frac{9}{\log \left(\log (x)+e^5-3\right)}-4",1,"9/Log[-3 + E^5 + Log[x]]","A",1
8270,1,25,30,0.1886275,"\int \frac{1+e^{1+\frac{1}{5} e^{15+2 x^2}-x} \left(2-x+\frac{1}{5} e^{15+2 x^2} \left(-8 x+4 x^2\right)\right)}{-2+x} \, dx","Integrate[(1 + E^(1 + E^(15 + 2*x^2)/5 - x)*(2 - x + (E^(15 + 2*x^2)*(-8*x + 4*x^2))/5))/(-2 + x),x]","e^{\frac{1}{5} e^{2 x^2+15}-x+1}+\log (x-2)","e^{\frac{1}{5} e^{2 x^2+15}-x+1}+\log (4 (2-x))+4",1,"E^(1 + E^(15 + 2*x^2)/5 - x) + Log[-2 + x]","A",1
8271,1,36,28,0.1835039,"\int \frac{8 x^2-16 x^4+e^{16+2 x} \left(-8 x+8 x^2-16 x^4\right)+e^{32+4 x} \left(2 x^2-4 x^4\right)+\left(-8+16 x^2+e^{32+4 x} \left(-2+4 x^2\right)+e^{16+2 x} \left(-8+16 x^2\right)\right) \log (5 x)}{4 x+4 e^{16+2 x} x+e^{32+4 x} x} \, dx","Integrate[(8*x^2 - 16*x^4 + E^(16 + 2*x)*(-8*x + 8*x^2 - 16*x^4) + E^(32 + 4*x)*(2*x^2 - 4*x^4) + (-8 + 16*x^2 + E^(32 + 4*x)*(-2 + 4*x^2) + E^(16 + 2*x)*(-8 + 16*x^2))*Log[5*x])/(4*x + 4*E^(16 + 2*x)*x + E^(32 + 4*x)*x),x]","-x^4+2 x^2 \log (5 x)+\frac{4}{e^{2 x+16}+2}-\log ^2(5 x)","\frac{4}{e^{2 x+16}+2}-\left(\log (5 x)-x^2\right)^2",1,"4/(2 + E^(16 + 2*x)) - x^4 + 2*x^2*Log[5*x] - Log[5*x]^2","A",1
8272,1,7,9,0.0008524,"\int -2 e^{2 x} \, dx","Integrate[-2*E^(2*x),x]","-e^{2 x}","-e^{2 x}-10",1,"-E^(2*x)","A",1
8273,1,27,24,0.0131808,"\int \frac{\left(-12 x^3+24 x^4+\left(-12 x^3+24 x^4\right) \log (3)\right) \log (4)}{9-48 x+64 x^2} \, dx","Integrate[((-12*x^3 + 24*x^4 + (-12*x^3 + 24*x^4)*Log[3])*Log[4])/(9 - 48*x + 64*x^2),x]","\frac{\left(1024 x^4-216 x+81\right) (1+\log (3)) \log (4)}{1024 (8 x-3)}","\frac{x^3 (1+\log (3)) \log (4)}{2 \left(4-\frac{3}{2 x}\right)}",1,"((81 - 216*x + 1024*x^4)*(1 + Log[3])*Log[4])/(1024*(-3 + 8*x))","A",1
8274,1,24,15,0.0062874,"\int \frac{-30+x+e^x (6+6 x)}{6 e^4} \, dx","Integrate[(-30 + x + E^x*(6 + 6*x))/(6*E^4),x]","\frac{\frac{x^2}{2}+6 e^x x-30 x}{6 e^4}","\frac{\left(\frac{x}{12}+e^x-5\right) x}{e^4}",1,"(-30*x + 6*E^x*x + x^2/2)/(6*E^4)","A",1
8275,1,18,18,0.0040623,"\int \frac{1+3 x+101250 x^2 \log ^2(2)+x \log \left(x^3\right)}{x} \, dx","Integrate[(1 + 3*x + 101250*x^2*Log[2]^2 + x*Log[x^3])/x,x]","x \log \left(x^3\right)+50625 x^2 \log ^2(2)+\log (x)","x \log \left(x^3\right)+50625 x^2 \log ^2(2)+\log (x)",1,"50625*x^2*Log[2]^2 + Log[x] + x*Log[x^3]","A",1
8276,1,12,13,0.0080338,"\int e^{-8 x^2-e^3 x^2} \left(-16 x-2 e^3 x\right) \, dx","Integrate[E^(-8*x^2 - E^3*x^2)*(-16*x - 2*E^3*x),x]","e^{-\left(\left(8+e^3\right) x^2\right)}","e^{\left(-8-e^3\right) x^2}",1,"E^(-((8 + E^3)*x^2))","A",1
8277,-1,0,26,180.0124648,"\int \frac{\exp \left(\exp \left(\frac{256-128 x-112 x^2+32 x^3+16 x^4+\left(128-32 x-32 x^2\right) \log (4)+16 \log ^2(4)}{16-8 x+x^2+(8-2 x) \log (4)+\log ^2(4)}\right) x^2+\frac{256-128 x-112 x^2+32 x^3+16 x^4+\left(128-32 x-32 x^2\right) \log (4)+16 \log ^2(4)}{16-8 x+x^2+(8-2 x) \log (4)+\log ^2(4)}\right) \left(128 x-96 x^2-1000 x^3+382 x^4+224 x^5-32 x^6+\left(96 x-48 x^2-506 x^3+96 x^4+64 x^5\right) \log (4)+\left(24 x-6 x^2-64 x^3\right) \log ^2(4)+2 x \log ^3(4)\right)}{64-48 x+12 x^2-x^3+\left(48-24 x+3 x^2\right) \log (4)+(12-3 x) \log ^2(4)+\log ^3(4)} \, dx","Integrate[(E^(E^((256 - 128*x - 112*x^2 + 32*x^3 + 16*x^4 + (128 - 32*x - 32*x^2)*Log[4] + 16*Log[4]^2)/(16 - 8*x + x^2 + (8 - 2*x)*Log[4] + Log[4]^2))*x^2 + (256 - 128*x - 112*x^2 + 32*x^3 + 16*x^4 + (128 - 32*x - 32*x^2)*Log[4] + 16*Log[4]^2)/(16 - 8*x + x^2 + (8 - 2*x)*Log[4] + Log[4]^2))*(128*x - 96*x^2 - 1000*x^3 + 382*x^4 + 224*x^5 - 32*x^6 + (96*x - 48*x^2 - 506*x^3 + 96*x^4 + 64*x^5)*Log[4] + (24*x - 6*x^2 - 64*x^3)*Log[4]^2 + 2*x*Log[4]^3))/(64 - 48*x + 12*x^2 - x^3 + (48 - 24*x + 3*x^2)*Log[4] + (12 - 3*x)*Log[4]^2 + Log[4]^3),x]","\text{\$Aborted}","e^{x^2 e^{\left(\frac{4 x^2}{-x+4+\log (4)}-4\right)^2}}",1,"$Aborted","F",-1
8278,1,18,14,0.0219445,"\int \frac{-3 e^2-5 e^{2+x} x+e^{2+x} \left(-5 x-5 x^2\right) \log (x)}{x} \, dx","Integrate[(-3*E^2 - 5*E^(2 + x)*x + E^(2 + x)*(-5*x - 5*x^2)*Log[x])/x,x]","-e^2 \left(5 e^x x \log (x)+3 \log (x)\right)","e^2 \left(-5 e^x x-3\right) \log (x)",1,"-(E^2*(3*Log[x] + 5*E^x*x*Log[x]))","A",1
8279,1,23,27,0.1986624,"\int \frac{-1-3 x-x^2+e^{4 x} x \left(-x-3 x^2-3 x^3\right)}{-x-x^2+e^{4 x} x \left(x^2+x^3\right)} \, dx","Integrate[(-1 - 3*x - x^2 + E^(4*x)*x*(-x - 3*x^2 - 3*x^3))/(-x - x^2 + E^(4*x)*x*(x^2 + x^3)),x]","-\log \left(1-e^{4 x} x^2\right)+x+\log (x)+\log (x+1)","x-\log \left(\frac{e^{4 x} x-\frac{1}{x}}{2 (x+1)}\right)",1,"x + Log[x] + Log[1 + x] - Log[1 - E^(4*x)*x^2]","A",1
8280,0,0,16,0.6024893,"\int \frac{\left(32 x^3-32 x^4 \log (x)\right) \log (-4+x-\log (\log (x)))+\left(\left(256 x^3-64 x^4\right) \log (x)+64 x^3 \log (x) \log (\log (x))\right) \log ^2(-4+x-\log (\log (x)))}{(4-x) \log (x)+\log (x) \log (\log (x))} \, dx","Integrate[((32*x^3 - 32*x^4*Log[x])*Log[-4 + x - Log[Log[x]]] + ((256*x^3 - 64*x^4)*Log[x] + 64*x^3*Log[x]*Log[Log[x]])*Log[-4 + x - Log[Log[x]]]^2)/((4 - x)*Log[x] + Log[x]*Log[Log[x]]),x]","\int \frac{\left(32 x^3-32 x^4 \log (x)\right) \log (-4+x-\log (\log (x)))+\left(\left(256 x^3-64 x^4\right) \log (x)+64 x^3 \log (x) \log (\log (x))\right) \log ^2(-4+x-\log (\log (x)))}{(4-x) \log (x)+\log (x) \log (\log (x))} \, dx","16 x^4 \log ^2(x-\log (\log (x))-4)",1,"Integrate[((32*x^3 - 32*x^4*Log[x])*Log[-4 + x - Log[Log[x]]] + ((256*x^3 - 64*x^4)*Log[x] + 64*x^3*Log[x]*Log[Log[x]])*Log[-4 + x - Log[Log[x]]]^2)/((4 - x)*Log[x] + Log[x]*Log[Log[x]]), x]","F",-1
8281,1,28,28,0.2854408,"\int \frac{750 \log (x)+375 \log ^2(x)+\left(-6075 x^4-180 x^5\right) \log ^4(x)}{625+\left(750 x+6750 x^4+150 x^5\right) \log ^2(x)+\left(225 x^2+4050 x^5+90 x^6+18225 x^8+810 x^9+9 x^{10}\right) \log ^4(x)} \, dx","Integrate[(750*Log[x] + 375*Log[x]^2 + (-6075*x^4 - 180*x^5)*Log[x]^4)/(625 + (750*x + 6750*x^4 + 150*x^5)*Log[x]^2 + (225*x^2 + 4050*x^5 + 90*x^6 + 18225*x^8 + 810*x^9 + 9*x^10)*Log[x]^4),x]","\frac{15 x \log ^2(x)}{3 x \left(x^4+45 x^3+5\right) \log ^2(x)+25}","\frac{x}{x^4 \left(\frac{5}{3 x^4 \log ^2(x)}+\frac{x}{5}+9\right)+x}",1,"(15*x*Log[x]^2)/(25 + 3*x*(5 + 45*x^3 + x^4)*Log[x]^2)","A",1
8282,0,0,32,0.5805579,"\int \frac{-10 x^2+e^{\frac{3-x}{x}} \left(-15+8 x+x^2\right)+e^{-2+x} \left(-e^{\frac{2 (3-x)}{x}} x^3+2 e^{\frac{3-x}{x}} x^4-x^5\right)+\left(3 e^{\frac{3-x}{x}} x+x^3\right) \log (x)}{5 x^3-x^4+e^{\frac{3-x}{x}} \left(-5 x^2+x^3\right)+e^{-2+x} \left(-e^{\frac{2 (3-x)}{x}} x^3+2 e^{\frac{3-x}{x}} x^4-x^5\right)+\left(e^{\frac{3-x}{x}} x^3-x^4\right) \log (x)} \, dx","Integrate[(-10*x^2 + E^((3 - x)/x)*(-15 + 8*x + x^2) + E^(-2 + x)*(-(E^((2*(3 - x))/x)*x^3) + 2*E^((3 - x)/x)*x^4 - x^5) + (3*E^((3 - x)/x)*x + x^3)*Log[x])/(5*x^3 - x^4 + E^((3 - x)/x)*(-5*x^2 + x^3) + E^(-2 + x)*(-(E^((2*(3 - x))/x)*x^3) + 2*E^((3 - x)/x)*x^4 - x^5) + (E^((3 - x)/x)*x^3 - x^4)*Log[x]),x]","\int \frac{-10 x^2+e^{\frac{3-x}{x}} \left(-15+8 x+x^2\right)+e^{-2+x} \left(-e^{\frac{2 (3-x)}{x}} x^3+2 e^{\frac{3-x}{x}} x^4-x^5\right)+\left(3 e^{\frac{3-x}{x}} x+x^3\right) \log (x)}{5 x^3-x^4+e^{\frac{3-x}{x}} \left(-5 x^2+x^3\right)+e^{-2+x} \left(-e^{\frac{2 (3-x)}{x}} x^3+2 e^{\frac{3-x}{x}} x^4-x^5\right)+\left(e^{\frac{3-x}{x}} x^3-x^4\right) \log (x)} \, dx","\log \left(e^{x-2}+\frac{-\frac{5}{x}+\log (x)+1}{x-e^{\frac{3}{x}-1}}\right)",1,"Integrate[(-10*x^2 + E^((3 - x)/x)*(-15 + 8*x + x^2) + E^(-2 + x)*(-(E^((2*(3 - x))/x)*x^3) + 2*E^((3 - x)/x)*x^4 - x^5) + (3*E^((3 - x)/x)*x + x^3)*Log[x])/(5*x^3 - x^4 + E^((3 - x)/x)*(-5*x^2 + x^3) + E^(-2 + x)*(-(E^((2*(3 - x))/x)*x^3) + 2*E^((3 - x)/x)*x^4 - x^5) + (E^((3 - x)/x)*x^3 - x^4)*Log[x]), x]","F",-1
8283,1,26,23,0.1108236,"\int \frac{e^{e^{\frac{-137-34 x-x^2}{5+x}}} \left(e \left(25+10 x+x^2\right)+e^{1+\frac{-137-34 x-x^2}{5+x}} \left(-33 x-10 x^2-x^3\right)\right)}{300+120 x+12 x^2} \, dx","Integrate[(E^E^((-137 - 34*x - x^2)/(5 + x))*(E*(25 + 10*x + x^2) + E^(1 + (-137 - 34*x - x^2)/(5 + x))*(-33*x - 10*x^2 - x^3)))/(300 + 120*x + 12*x^2),x]","\frac{1}{12} e^{e^{-\frac{x^2+34 x+137}{x+5}}+1} x","\frac{1}{12} e^{e^{-x+\frac{8}{x+5}-29}+1} x",1,"(E^(1 + E^(-((137 + 34*x + x^2)/(5 + x))))*x)/12","A",1
8284,1,15,15,0.0311879,"\int e^{5 x} \left(-480 x^2+2400 x^3+4000 x^4\right) \, dx","Integrate[E^(5*x)*(-480*x^2 + 2400*x^3 + 4000*x^4),x]","160 e^{5 x} x^3 (5 x-1)","32 e^{5 x} x^3 (25 x-5)",1,"160*E^(5*x)*x^3*(-1 + 5*x)","A",1
8285,1,53,20,0.1164856,"\int \left(8 x+e^{3+x} \left(-8 x-4 x^2+(-4-4 x) \log (3)\right) \log ^8(5)+e^{6+2 x} \left(2 x+2 x^2+(2+4 x) \log (3)+2 \log ^2(3)\right) \log ^{16}(5)\right) \, dx","Integrate[8*x + E^(3 + x)*(-8*x - 4*x^2 + (-4 - 4*x)*Log[3])*Log[5]^8 + E^(6 + 2*x)*(2*x + 2*x^2 + (2 + 4*x)*Log[3] + 2*Log[3]^2)*Log[5]^16,x]","4 x^2+\frac{1}{2} e^{2 x+6} \log ^{16}(5) \left(2 x^2+x \log (81)+2 \log ^2(3)\right)-4 e^{x+3} x \log ^8(5) (x+\log (3))","\left(e^{x+3} \log ^8(5) (x+\log (3))-2 x\right)^2",1,"4*x^2 - 4*E^(3 + x)*x*(x + Log[3])*Log[5]^8 + (E^(6 + 2*x)*Log[5]^16*(2*x^2 + 2*Log[3]^2 + x*Log[81]))/2","B",1
8286,1,44,38,0.4730123,"\int \frac{2 e^{6-3 e^x+3 e^{2 x-x^2}} x-6 e^{4-2 e^x+2 e^{2 x-x^2}} x^2-e^4 x^3-2 x^4+e^{-e^x+e^{2 x-x^2}} \left(3 e^6 x^2+6 e^2 x^3+2 e^{6+x} x^3+e^{6+2 x-x^2} \left(-4 x^3+4 x^4\right)\right)}{4 e^{6-3 e^x+3 e^{2 x-x^2}}-12 e^{4-2 e^x+2 e^{2 x-x^2}} x+12 e^{2-e^x+e^{2 x-x^2}} x^2-4 x^3} \, dx","Integrate[(2*E^(6 - 3*E^x + 3*E^(2*x - x^2))*x - 6*E^(4 - 2*E^x + 2*E^(2*x - x^2))*x^2 - E^4*x^3 - 2*x^4 + E^(-E^x + E^(2*x - x^2))*(3*E^6*x^2 + 6*E^2*x^3 + 2*E^(6 + x)*x^3 + E^(6 + 2*x - x^2)*(-4*x^3 + 4*x^4)))/(4*E^(6 - 3*E^x + 3*E^(2*x - x^2)) - 12*E^(4 - 2*E^x + 2*E^(2*x - x^2))*x + 12*E^(2 - E^x + E^(2*x - x^2))*x^2 - 4*x^3),x]","\frac{1}{4} \left(\frac{e^{2 e^x+4} x^3}{\left(e^{e^{-((x-2) x)}+2}-e^{e^x} x\right)^2}+x^2\right)","\frac{1}{4} x \left(\frac{x^2}{\left(\frac{x}{e^2}-e^{e^{(2-x) x}-e^x}\right)^2}+x\right)",1,"(x^2 + (E^(4 + 2*E^x)*x^3)/(E^(2 + E^(-((-2 + x)*x))) - E^E^x*x)^2)/4","A",1
8287,1,19,19,0.0496066,"\int \frac{-x^3+e^{\frac{25+x}{x^2}} (50+x)}{\left(e^{\frac{2 (25+x)}{x^2}} x^3+2 e^{\frac{25+x}{x^2}} x^4+x^5\right) \log (\log (16))} \, dx","Integrate[(-x^3 + E^((25 + x)/x^2)*(50 + x))/((E^((2*(25 + x))/x^2)*x^3 + 2*E^((25 + x)/x^2)*x^4 + x^5)*Log[Log[16]]),x]","\frac{1}{\left(e^{\frac{x+25}{x^2}}+x\right) \log (\log (16))}","\frac{1}{\left(e^{\frac{x+25}{x^2}}+x\right) \log (\log (16))}",1,"1/((E^((25 + x)/x^2) + x)*Log[Log[16]])","A",1
8288,0,0,27,0.2352621,"\int \frac{-4687500-7500 x-3 x^2+e^{\frac{3750+3 x+625 x^3}{1250+x}} \left(7031250 x^3+3750 x^4\right)}{1562500 x+2500 x^2+x^3} \, dx","Integrate[(-4687500 - 7500*x - 3*x^2 + E^((3750 + 3*x + 625*x^3)/(1250 + x))*(7031250*x^3 + 3750*x^4))/(1562500*x + 2500*x^2 + x^3),x]","\int \frac{-4687500-7500 x-3 x^2+e^{\frac{3750+3 x+625 x^3}{1250+x}} \left(7031250 x^3+3750 x^4\right)}{1562500 x+2500 x^2+x^3} \, dx","3 \left(e^{\frac{x^2}{\frac{2}{x}+\frac{1}{625}}+3}-\log (x)+1\right)",1,"Integrate[(-4687500 - 7500*x - 3*x^2 + E^((3750 + 3*x + 625*x^3)/(1250 + x))*(7031250*x^3 + 3750*x^4))/(1562500*x + 2500*x^2 + x^3), x]","F",-1
8289,1,24,24,0.1671477,"\int \frac{-18+33 x^3-15 x^6+\left(1-2 x^3+x^6\right) \log (6)-9 x^3 \log (x)}{\left(x-2 x^4+x^7\right) \log (6)} \, dx","Integrate[(-18 + 33*x^3 - 15*x^6 + (1 - 2*x^3 + x^6)*Log[6] - 9*x^3*Log[x])/((x - 2*x^4 + x^7)*Log[6]),x]","\frac{\frac{3 \log (x)}{x^3-1}+(\log (6)-15) \log (x)}{\log (6)}","\log (x)-\frac{3 \left(\frac{x}{x-x^4}+5\right) \log (x)}{\log (6)}",1,"((3*Log[x])/(-1 + x^3) + (-15 + Log[6])*Log[x])/Log[6]","A",1
8290,1,16,19,0.0088612,"\int \frac{-3 e^{1+\frac{3 e+75 x}{5 x}}-5 x^2}{5 x^2} \, dx","Integrate[(-3*E^(1 + (3*E + 75*x)/(5*x)) - 5*x^2)/(5*x^2),x]","e^{\frac{3 e}{5 x}+15}-x","-x+e^{\frac{15 \left(x+\frac{e}{25}\right)}{x}}+3",1,"E^(15 + (3*E)/(5*x)) - x","A",1
8291,1,15,19,0.0057025,"\int \frac{e^{20} \left(-52 x-4 x^2\right)}{-1113879+428415 x-65910 x^2+5070 x^3-195 x^4+3 x^5} \, dx","Integrate[(E^20*(-52*x - 4*x^2))/(-1113879 + 428415*x - 65910*x^2 + 5070*x^3 - 195*x^4 + 3*x^5),x]","\frac{2 e^{20} x^2}{3 (x-13)^4}","\frac{2 e^{20} x^2}{3 (13-x)^4}-2",1,"(2*E^20*x^2)/(3*(-13 + x)^4)","A",1
8292,1,16,30,0.1537497,"\int \frac{-1-e^x+e^{5+e^5 x}}{6-e^x+e^{e^5 x}-x} \, dx","Integrate[(-1 - E^x + E^(5 + E^5*x))/(6 - E^x + E^(E^5*x) - x),x]","\log \left(x+e^x-e^{e^5 x}-6\right)","\log \left(e^{x^2+\left(-x+e^5+1\right) x-x}-x-e^x+6\right)",1,"Log[-6 + E^x - E^(E^5*x) + x]","A",1
8293,1,13,20,0.0504999,"\int \frac{12+e^{e^x} \left(4+e^x x\right)}{3 x+e^{e^x} x} \, dx","Integrate[(12 + E^E^x*(4 + E^x*x))/(3*x + E^E^x*x),x]","\log \left(e^{e^x}+3\right)+4 \log (x)","\log \left(2 \left(e^{e^x}+3\right) x^4\right)-e^4+9",1,"Log[3 + E^E^x] + 4*Log[x]","A",1
8294,1,18,24,0.0048117,"\int \frac{5-2 e^2+6 x^2}{2 x^2} \, dx","Integrate[(5 - 2*E^2 + 6*x^2)/(2*x^2),x]","3 x-\frac{5-2 e^2}{2 x}","\frac{\frac{1}{2} (-x-5)+e^2}{x}+3 x+1+\log (5)",1,"-1/2*(5 - 2*E^2)/x + 3*x","A",1
8295,1,31,24,0.3174685,"\int \frac{-2+e^{1089+e^{2 x}+e^x (-66-2 x)+66 x+x^2} \left(66-130 x+62 x^2+2 x^3+e^{2 x} \left(2-4 x+2 x^2\right)+e^x \left(-68+134 x-64 x^2-2 x^3\right)\right)}{1-2 x+x^2} \, dx","Integrate[(-2 + E^(1089 + E^(2*x) + E^x*(-66 - 2*x) + 66*x + x^2)*(66 - 130*x + 62*x^2 + 2*x^3 + E^(2*x)*(2 - 4*x + 2*x^2) + E^x*(-68 + 134*x - 64*x^2 - 2*x^3)))/(1 - 2*x + x^2),x]","e^{x^2+66 x+e^{2 x}-2 e^x (x+33)+1089}+\frac{2}{x-1}","\frac{x+3}{2 x-2}+e^{\left(-x+e^x-33\right)^2}",1,"E^(1089 + E^(2*x) + 66*x + x^2 - 2*E^x*(33 + x)) + 2/(-1 + x)","A",1
8296,1,23,35,0.050815,"\int \frac{-12800+1920 x-12800 e^{e^{x^2}+x^2} x}{625+6400 e^{2 e^{x^2}}+8000 x+25000 x^2-3840 x^3+144 x^4+e^{e^{x^2}} \left(4000+25600 x-1920 x^2\right)} \, dx","Integrate[(-12800 + 1920*x - 12800*E^(E^x^2 + x^2)*x)/(625 + 6400*E^(2*E^x^2) + 8000*x + 25000*x^2 - 3840*x^3 + 144*x^4 + E^E^x^2*(4000 + 25600*x - 1920*x^2)),x]","\frac{80}{-12 x^2+80 e^{e^{x^2}}+160 x+25}","\frac{4}{4 \left(e^{e^{x^2}}-\frac{3}{4} \left(\frac{x^2}{5}-x\right)+x\right)+x+\frac{5}{4}}",1,"80/(25 + 80*E^E^x^2 + 160*x - 12*x^2)","A",1
8297,1,125,28,0.0623521,"\int \frac{6 x+15 e^4 x^3+3 e^9 x^3+\left(-6-20 e^4 x^2-4 e^9 x^2\right) \log \left(5 e^{\frac{3}{5 e^4 x+e^9 x}}\right)+\left(5 e^4 x+e^9 x\right) \log ^2\left(5 e^{\frac{3}{5 e^4 x+e^9 x}}\right)}{5 e^4 x+e^9 x} \, dx","Integrate[(6*x + 15*E^4*x^3 + 3*E^9*x^3 + (-6 - 20*E^4*x^2 - 4*E^9*x^2)*Log[5*E^(3/(5*E^4*x + E^9*x))] + (5*E^4*x + E^9*x)*Log[5*E^(3/(5*E^4*x + E^9*x))]^2)/(5*E^4*x + E^9*x),x]","\frac{e^{18} x^4+10 e^{13} x^4+25 e^8 x^4+e^8 \left(5+e^5\right)^2 x^2 \log ^2\left(5 e^{\frac{3}{e^9 x+5 e^4 x}}\right)-2 e^4 \left(5+e^5\right) \left(e^9 x^2+5 e^4 x^2+3\right) x \log \left(5 e^{\frac{3}{e^9 x+5 e^4 x}}\right)+18}{e^8 \left(5+e^5\right)^2 x}","x \left(x-\log \left(5 e^{\frac{3}{e^4 \left(5+e^5\right) x}}\right)\right)^2",1,"(18 + 25*E^8*x^4 + 10*E^13*x^4 + E^18*x^4 - 2*E^4*(5 + E^5)*x*(3 + 5*E^4*x^2 + E^9*x^2)*Log[5*E^(3/(5*E^4*x + E^9*x))] + E^8*(5 + E^5)^2*x^2*Log[5*E^(3/(5*E^4*x + E^9*x))]^2)/(E^8*(5 + E^5)^2*x)","B",1
8298,1,34,19,0.0234553,"\int \frac{16 x^3+e^2 \left(256 x-64 x^3\right)+e^4 \left(1-512 x+64 x^3\right)}{e^4} \, dx","Integrate[(16*x^3 + E^2*(256*x - 64*x^3) + E^4*(1 - 512*x + 64*x^3))/E^4,x]","\frac{4 \left(2 e^2-1\right)^2 x^4}{e^4}-\frac{128 \left(2 e^2-1\right) x^2}{e^2}+x","4 \left(\left(\left(\frac{1}{e^2}-2\right) x^2+16\right)^2+5\right)+x",1,"x - (128*(-1 + 2*E^2)*x^2)/E^2 + (4*(-1 + 2*E^2)^2*x^4)/E^4","A",1
8299,1,41,28,0.0768717,"\int \frac{72+\left(72-6 x-384 x^3+192 x^4-24 x^5\right) \log (x)+\left(-6 x+384 x^3-384 x^4+72 x^5\right) \log ^2(x)+\left(-64 x^4+48 x^5-4104 x^6+5120 x^7-2304 x^8+448 x^9-32 x^{10}\right) \log ^3(x)}{-27+\left(432 x^3-216 x^4+27 x^5\right) \log (x)+\left(-2304 x^6+2304 x^7-864 x^8+144 x^9-9 x^{10}\right) \log ^2(x)+\left(4096 x^9-6144 x^{10}+3840 x^{11}-1280 x^{12}+240 x^{13}-24 x^{14}+x^{15}\right) \log ^3(x)} \, dx","Integrate[(72 + (72 - 6*x - 384*x^3 + 192*x^4 - 24*x^5)*Log[x] + (-6*x + 384*x^3 - 384*x^4 + 72*x^5)*Log[x]^2 + (-64*x^4 + 48*x^5 - 4104*x^6 + 5120*x^7 - 2304*x^8 + 448*x^9 - 32*x^10)*Log[x]^3)/(-27 + (432*x^3 - 216*x^4 + 27*x^5)*Log[x] + (-2304*x^6 + 2304*x^7 - 864*x^8 + 144*x^9 - 9*x^10)*Log[x]^2 + (4096*x^9 - 6144*x^10 + 3840*x^11 - 1280*x^12 + 240*x^13 - 24*x^14 + x^15)*Log[x]^3),x]","\frac{x \log (x) \left(\left(8 x^5-64 x^4+128 x^3+x\right) \log (x)-24\right)}{\left((x-4)^2 x^3 \log (x)-3\right)^2}","\left(\frac{x}{x ((3-x) x+x)^2-\frac{3}{\log (x)}}+4\right)^2",1,"(x*Log[x]*(-24 + (x + 128*x^3 - 64*x^4 + 8*x^5)*Log[x]))/(-3 + (-4 + x)^2*x^3*Log[x])^2","A",1
8300,1,24,27,0.2450815,"\int \frac{e^4 (14-14 x)-28 x-42 x^2+14 x^4+\left(56 x+28 x^2-28 x^3+e^4 (-14+7 x)\right) \log (2-x)+\left(-28 x+14 x^2\right) \log ^2(2-x)}{-2-3 x+x^3+\left(4+2 x-2 x^2\right) \log (2-x)+(-2+x) \log ^2(2-x)} \, dx","Integrate[(E^4*(14 - 14*x) - 28*x - 42*x^2 + 14*x^4 + (56*x + 28*x^2 - 28*x^3 + E^4*(-14 + 7*x))*Log[2 - x] + (-28*x + 14*x^2)*Log[2 - x]^2)/(-2 - 3*x + x^3 + (4 + 2*x - 2*x^2)*Log[2 - x] + (-2 + x)*Log[2 - x]^2),x]","7 \left(x^2+\frac{e^4 x}{-x+\log (2-x)-1}\right)","7 x \left(x-\frac{e^4}{x-\log (2-x)+1}\right)+e^4",1,"7*(x^2 + (E^4*x)/(-1 - x + Log[2 - x]))","A",1
8301,1,10,10,0.0342516,"\int \frac{e^{\frac{1+11 x-x^2}{x}} \left(-1-x^2\right)}{x^2} \, dx","Integrate[(E^((1 + 11*x - x^2)/x)*(-1 - x^2))/x^2,x]","e^{-x+\frac{1}{x}+11}","e^{-x+\frac{1}{x}+11}",1,"E^(11 + x^(-1) - x)","A",1
8302,1,62,28,0.1037969,"\int \frac{e^7 \left(-3 x^2+9 x^3\right)+\left(x^3-6 x^4+e^3 \left(4 x^3-12 x^4\right)\right) \log (2)+\left(e^4 \left(6 x^2-18 x^3\right)+\left(-4 x^3+12 x^4\right) \log (2)\right) \log \left(-x+3 x^2\right)+e \left(-3 x^2+9 x^3\right) \log ^2\left(-x+3 x^2\right)}{e^6 (-1+3 x)+e^3 (2-6 x) \log \left(-x+3 x^2\right)+(-1+3 x) \log ^2\left(-x+3 x^2\right)} \, dx","Integrate[(E^7*(-3*x^2 + 9*x^3) + (x^3 - 6*x^4 + E^3*(4*x^3 - 12*x^4))*Log[2] + (E^4*(6*x^2 - 18*x^3) + (-4*x^3 + 12*x^4)*Log[2])*Log[-x + 3*x^2] + E*(-3*x^2 + 9*x^3)*Log[-x + 3*x^2]^2)/(E^6*(-1 + 3*x) + E^3*(2 - 6*x)*Log[-x + 3*x^2] + (-1 + 3*x)*Log[-x + 3*x^2]^2),x]","\frac{x^3 \left(e^4 (6 x-1)+x (\log (2)-x \log (64))+(e-6 e x) \log (x (3 x-1))\right)}{(6 x-1) \left(e^3-\log (x (3 x-1))\right)}","x^3 \left(\frac{x \log (2)}{\log \left(3 x^2-x\right)-e^3}+e\right)",1,"(x^3*(E^4*(-1 + 6*x) + x*(Log[2] - x*Log[64]) + (E - 6*E*x)*Log[x*(-1 + 3*x)]))/((-1 + 6*x)*(E^3 - Log[x*(-1 + 3*x)]))","B",1
8303,1,19,19,0.5732303,"\int e^{e^{e^{e^x} \left(-2+x^2\right)}+x} \left(1+x+e^{e^x+e^{e^x} \left(-2+x^2\right)} \left(2 x^2+e^x \left(-2 x+x^3\right)\right)\right) \, dx","Integrate[E^(E^(E^E^x*(-2 + x^2)) + x)*(1 + x + E^(E^x + E^E^x*(-2 + x^2))*(2*x^2 + E^x*(-2*x + x^3))),x]","e^{e^{e^{e^x} \left(x^2-2\right)}+x} x","e^{e^{e^{e^x} \left(x^2-2\right)}+x} x",1,"E^(E^(E^E^x*(-2 + x^2)) + x)*x","A",1
8304,1,38,22,0.0048459,"\int \frac{-x+x^2+4 e (80-120 x) \left(x^2-x^3\right)+16 e^2 (-16+24 x) \left(x^2-x^3\right)^2}{-x+x^2} \, dx","Integrate[(-x + x^2 + 4*E*(80 - 120*x)*(x^2 - x^3) + 16*E^2*(-16 + 24*x)*(x^2 - x^3)^2)/(-x + x^2),x]","64 e^2 x^6-128 e^2 x^5+64 e^2 x^4+160 e x^3-160 e x^2+x","4 \left(5-4 e (1-x) x^2\right)^2+x-5+\log (2)",1,"x - 160*E*x^2 + 160*E*x^3 + 64*E^2*x^4 - 128*E^2*x^5 + 64*E^2*x^6","A",1
8305,1,22,25,2.2260798,"\int \frac{\exp \left(e^{\frac{9 x}{6+e^3+\log \left(\frac{5}{3}\right)+3 \log (x)}}+\frac{9 x}{6+e^3+\log \left(\frac{5}{3}\right)+3 \log (x)}\right) \left(27+9 e^3+9 \log \left(\frac{5}{3}\right)+27 \log (x)\right)}{36+12 e^3+e^6-\left(-12-2 e^3\right) \log \left(\frac{5}{3}\right)+\log ^2\left(\frac{5}{3}\right)+\left(36+6 e^3+6 \log \left(\frac{5}{3}\right)\right) \log (x)+9 \log ^2(x)} \, dx","Integrate[(E^(E^((9*x)/(6 + E^3 + Log[5/3] + 3*Log[x])) + (9*x)/(6 + E^3 + Log[5/3] + 3*Log[x]))*(27 + 9*E^3 + 9*Log[5/3] + 27*Log[x]))/(36 + 12*E^3 + E^6 - (-12 - 2*E^3)*Log[5/3] + Log[5/3]^2 + (36 + 6*E^3 + 6*Log[5/3])*Log[x] + 9*Log[x]^2),x]","e^{e^{\frac{9 x}{3 \log (x)+e^3+6+\log \left(\frac{5}{3}\right)}}}","e^{e^{\frac{3 x}{\log (x)+2+\frac{1}{3} \left(e^3+\log \left(\frac{5}{3}\right)\right)}}}",1,"E^E^((9*x)/(6 + E^3 + Log[5/3] + 3*Log[x]))","A",1
8306,1,34,25,0.1863075,"\int \frac{e^x \left(-140+8 x-4 x^2+5 \log (3)+16 \log (5)\right)}{19600+1120 x^2+16 x^4+\left(-1400-40 x^2\right) \log (3)+25 \log ^2(3)+\left(-4480-128 x^2+160 \log (3)\right) \log (5)+256 \log ^2(5)} \, dx","Integrate[(E^x*(-140 + 8*x - 4*x^2 + 5*Log[3] + 16*Log[5]))/(19600 + 1120*x^2 + 16*x^4 + (-1400 - 40*x^2)*Log[3] + 25*Log[3]^2 + (-4480 - 128*x^2 + 160*Log[3])*Log[5] + 256*Log[5]^2),x]","\frac{e^x \left(-4 x^2-140+\log (243)+16 \log (5)\right)}{\left(4 x^2+140-16 \log (5)-5 \log (3)\right)^2}","\frac{e^x}{-4 \left(x^2+1-4 (\log (5)-9)\right)+8+5 \log (3)}",1,"(E^x*(-140 - 4*x^2 + 16*Log[5] + Log[243]))/(140 + 4*x^2 - 5*Log[3] - 16*Log[5])^2","A",1
8307,0,0,25,0.4024592,"\int \frac{\exp \left(\frac{1}{4+4 x-3 x^2-2 x^3+x^4+\left(-8 x-4 x^2+4 x^3\right) \log \left(\frac{1}{4} (-8-4 x+\log (3))\right)+\left(-4-2 x+6 x^2\right) \log ^2\left(\frac{1}{4} (-8-4 x+\log (3))\right)+4 x \log ^3\left(\frac{1}{4} (-8-4 x+\log (3))\right)+\log ^4\left(\frac{1}{4} (-8-4 x+\log (3))\right)}\right) \left(-16+40 x+16 x^2+(2-4 x) \log (3)+(48+16 x-4 \log (3)) \log \left(\frac{1}{4} (-8-4 x+\log (3))\right)\right)}{64+128 x-112 x^3-20 x^4+36 x^5+4 x^6-4 x^7+\left(-8-12 x+6 x^2+11 x^3-3 x^4-3 x^5+x^6\right) \log (3)+\left(-192 x-288 x^2+48 x^3+168 x^4-24 x^6+\left(24 x+24 x^2-18 x^3-12 x^4+6 x^5\right) \log (3)\right) \log \left(\frac{1}{4} (-8-4 x+\log (3))\right)+\left(-96-144 x+216 x^2+276 x^3-48 x^4-60 x^5+\left(12+12 x-33 x^2-18 x^3+15 x^4\right) \log (3)\right) \log ^2\left(\frac{1}{4} (-8-4 x+\log (3))\right)+\left(192 x+192 x^2-112 x^3-80 x^4+\left(-24 x-12 x^2+20 x^3\right) \log (3)\right) \log ^3\left(\frac{1}{4} (-8-4 x+\log (3))\right)+\left(48+48 x-108 x^2-60 x^3+\left(-6-3 x+15 x^2\right) \log (3)\right) \log ^4\left(\frac{1}{4} (-8-4 x+\log (3))\right)+\left(-48 x-24 x^2+6 x \log (3)\right) \log ^5\left(\frac{1}{4} (-8-4 x+\log (3))\right)+(-8-4 x+\log (3)) \log ^6\left(\frac{1}{4} (-8-4 x+\log (3))\right)} \, dx","Integrate[(E^(4 + 4*x - 3*x^2 - 2*x^3 + x^4 + (-8*x - 4*x^2 + 4*x^3)*Log[(-8 - 4*x + Log[3])/4] + (-4 - 2*x + 6*x^2)*Log[(-8 - 4*x + Log[3])/4]^2 + 4*x*Log[(-8 - 4*x + Log[3])/4]^3 + Log[(-8 - 4*x + Log[3])/4]^4)^(-1)*(-16 + 40*x + 16*x^2 + (2 - 4*x)*Log[3] + (48 + 16*x - 4*Log[3])*Log[(-8 - 4*x + Log[3])/4]))/(64 + 128*x - 112*x^3 - 20*x^4 + 36*x^5 + 4*x^6 - 4*x^7 + (-8 - 12*x + 6*x^2 + 11*x^3 - 3*x^4 - 3*x^5 + x^6)*Log[3] + (-192*x - 288*x^2 + 48*x^3 + 168*x^4 - 24*x^6 + (24*x + 24*x^2 - 18*x^3 - 12*x^4 + 6*x^5)*Log[3])*Log[(-8 - 4*x + Log[3])/4] + (-96 - 144*x + 216*x^2 + 276*x^3 - 48*x^4 - 60*x^5 + (12 + 12*x - 33*x^2 - 18*x^3 + 15*x^4)*Log[3])*Log[(-8 - 4*x + Log[3])/4]^2 + (192*x + 192*x^2 - 112*x^3 - 80*x^4 + (-24*x - 12*x^2 + 20*x^3)*Log[3])*Log[(-8 - 4*x + Log[3])/4]^3 + (48 + 48*x - 108*x^2 - 60*x^3 + (-6 - 3*x + 15*x^2)*Log[3])*Log[(-8 - 4*x + Log[3])/4]^4 + (-48*x - 24*x^2 + 6*x*Log[3])*Log[(-8 - 4*x + Log[3])/4]^5 + (-8 - 4*x + Log[3])*Log[(-8 - 4*x + Log[3])/4]^6),x]","\int \frac{\exp \left(\frac{1}{4+4 x-3 x^2-2 x^3+x^4+\left(-8 x-4 x^2+4 x^3\right) \log \left(\frac{1}{4} (-8-4 x+\log (3))\right)+\left(-4-2 x+6 x^2\right) \log ^2\left(\frac{1}{4} (-8-4 x+\log (3))\right)+4 x \log ^3\left(\frac{1}{4} (-8-4 x+\log (3))\right)+\log ^4\left(\frac{1}{4} (-8-4 x+\log (3))\right)}\right) \left(-16+40 x+16 x^2+(2-4 x) \log (3)+(48+16 x-4 \log (3)) \log \left(\frac{1}{4} (-8-4 x+\log (3))\right)\right)}{64+128 x-112 x^3-20 x^4+36 x^5+4 x^6-4 x^7+\left(-8-12 x+6 x^2+11 x^3-3 x^4-3 x^5+x^6\right) \log (3)+\left(-192 x-288 x^2+48 x^3+168 x^4-24 x^6+\left(24 x+24 x^2-18 x^3-12 x^4+6 x^5\right) \log (3)\right) \log \left(\frac{1}{4} (-8-4 x+\log (3))\right)+\left(-96-144 x+216 x^2+276 x^3-48 x^4-60 x^5+\left(12+12 x-33 x^2-18 x^3+15 x^4\right) \log (3)\right) \log ^2\left(\frac{1}{4} (-8-4 x+\log (3))\right)+\left(192 x+192 x^2-112 x^3-80 x^4+\left(-24 x-12 x^2+20 x^3\right) \log (3)\right) \log ^3\left(\frac{1}{4} (-8-4 x+\log (3))\right)+\left(48+48 x-108 x^2-60 x^3+\left(-6-3 x+15 x^2\right) \log (3)\right) \log ^4\left(\frac{1}{4} (-8-4 x+\log (3))\right)+\left(-48 x-24 x^2+6 x \log (3)\right) \log ^5\left(\frac{1}{4} (-8-4 x+\log (3))\right)+(-8-4 x+\log (3)) \log ^6\left(\frac{1}{4} (-8-4 x+\log (3))\right)} \, dx","\exp \left(\frac{1}{\left(-x+\left(x+\log \left(-x-2+\frac{\log (3)}{4}\right)\right)^2-2\right)^2}\right)",1,"Integrate[(E^(4 + 4*x - 3*x^2 - 2*x^3 + x^4 + (-8*x - 4*x^2 + 4*x^3)*Log[(-8 - 4*x + Log[3])/4] + (-4 - 2*x + 6*x^2)*Log[(-8 - 4*x + Log[3])/4]^2 + 4*x*Log[(-8 - 4*x + Log[3])/4]^3 + Log[(-8 - 4*x + Log[3])/4]^4)^(-1)*(-16 + 40*x + 16*x^2 + (2 - 4*x)*Log[3] + (48 + 16*x - 4*Log[3])*Log[(-8 - 4*x + Log[3])/4]))/(64 + 128*x - 112*x^3 - 20*x^4 + 36*x^5 + 4*x^6 - 4*x^7 + (-8 - 12*x + 6*x^2 + 11*x^3 - 3*x^4 - 3*x^5 + x^6)*Log[3] + (-192*x - 288*x^2 + 48*x^3 + 168*x^4 - 24*x^6 + (24*x + 24*x^2 - 18*x^3 - 12*x^4 + 6*x^5)*Log[3])*Log[(-8 - 4*x + Log[3])/4] + (-96 - 144*x + 216*x^2 + 276*x^3 - 48*x^4 - 60*x^5 + (12 + 12*x - 33*x^2 - 18*x^3 + 15*x^4)*Log[3])*Log[(-8 - 4*x + Log[3])/4]^2 + (192*x + 192*x^2 - 112*x^3 - 80*x^4 + (-24*x - 12*x^2 + 20*x^3)*Log[3])*Log[(-8 - 4*x + Log[3])/4]^3 + (48 + 48*x - 108*x^2 - 60*x^3 + (-6 - 3*x + 15*x^2)*Log[3])*Log[(-8 - 4*x + Log[3])/4]^4 + (-48*x - 24*x^2 + 6*x*Log[3])*Log[(-8 - 4*x + Log[3])/4]^5 + (-8 - 4*x + Log[3])*Log[(-8 - 4*x + Log[3])/4]^6), x]","F",-1
8308,1,141,30,0.0964427,"\int \frac{-6+12 x^3-80 x^4+2 x^5-71 x^7+808 x^8-132 x^9+164 x^{10}-10 x^{11}+6 x^{12}+e^{4 x} \left(32 x^8+64 x^9\right)+e^{3 x} \left(-96 x^7+96 x^9+96 x^{10}\right)+e^{2 x} \left(-48 x^4+48 x^5-48 x^7+224 x^8+296 x^9+80 x^{10}+48 x^{11}\right)+e^x \left(32 x^2-8 x^3-24 x^5+24 x^6-152 x^7-40 x^8+456 x^9+128 x^{10}+32 x^{11}+8 x^{12}\right)}{9 x^7} \, dx","Integrate[(-6 + 12*x^3 - 80*x^4 + 2*x^5 - 71*x^7 + 808*x^8 - 132*x^9 + 164*x^10 - 10*x^11 + 6*x^12 + E^(4*x)*(32*x^8 + 64*x^9) + E^(3*x)*(-96*x^7 + 96*x^9 + 96*x^10) + E^(2*x)*(-48*x^4 + 48*x^5 - 48*x^7 + 224*x^8 + 296*x^9 + 80*x^10 + 48*x^11) + E^x*(32*x^2 - 8*x^3 - 24*x^5 + 24*x^6 - 152*x^7 - 40*x^8 + 456*x^9 + 128*x^10 + 32*x^11 + 8*x^12))/(9*x^7),x]","\frac{1}{9} \left(x^6+\frac{1}{x^6}-2 x^5+41 x^4-44 x^3+e^{3 x} \left(32 x^3-32\right)-\frac{4}{x^3}+16 e^{4 x} x^2+404 x^2+\frac{40}{x^2}+e^{2 x} \left(24 x^4-8 x^3+160 x^2+\frac{24}{x^2}-48 x\right)+e^x \left(8 x^5-8 x^4-\frac{8}{x^4}+160 x^3-24 x^2+8 x+\frac{24}{x}-160\right)-71 x-\frac{2}{x}\right)","\frac{1}{9} \left(\left(\frac{1}{x^2}-x-2 e^x\right)^2-x+20\right)^2 x^2+x",1,"(x^(-6) - 4/x^3 + 40/x^2 - 2/x - 71*x + 404*x^2 + 16*E^(4*x)*x^2 - 44*x^3 + 41*x^4 - 2*x^5 + x^6 + E^(3*x)*(-32 + 32*x^3) + E^(2*x)*(24/x^2 - 48*x + 160*x^2 - 8*x^3 + 24*x^4) + E^x*(-160 - 8/x^4 + 24/x + 8*x - 24*x^2 + 160*x^3 - 8*x^4 + 8*x^5))/9","B",1
8309,1,33,24,0.9235086,"\int \frac{-9 x \log (x)-90 e^{5 e^{2 x}+2 x} x \log (x)+\left(9 x+x^2+e^{10 e^{2 x}} (1-\log (x))+\left(-9 x-x^2\right) \log (x)+e^{5 e^{2 x}} (9+2 x+(-9-2 x) \log (x))\right) \log \left(\frac{9+e^{5 e^{2 x}}+x}{e^{5 e^{2 x}}+x}\right)}{e^{10 e^{2 x}} x^2+9 x^3+x^4+e^{5 e^{2 x}} \left(9 x^2+2 x^3\right)} \, dx","Integrate[(-9*x*Log[x] - 90*E^(5*E^(2*x) + 2*x)*x*Log[x] + (9*x + x^2 + E^(10*E^(2*x))*(1 - Log[x]) + (-9*x - x^2)*Log[x] + E^(5*E^(2*x))*(9 + 2*x + (-9 - 2*x)*Log[x]))*Log[(9 + E^(5*E^(2*x)) + x)/(E^(5*E^(2*x)) + x)])/(E^(10*E^(2*x))*x^2 + 9*x^3 + x^4 + E^(5*E^(2*x))*(9*x^2 + 2*x^3)),x]","\frac{\log (x) \log \left(\frac{x+e^{5 e^{2 x}}+9}{x+e^{5 e^{2 x}}}\right)}{x}","\frac{\log (x) \log \left(\frac{9}{x+e^{5 e^{2 x}}}+1\right)}{x}",1,"(Log[x]*Log[(9 + E^(5*E^(2*x)) + x)/(E^(5*E^(2*x)) + x)])/x","A",1
8310,1,19,28,0.0816086,"\int \frac{4+6 x+e^{x^2} \left(4+6 x+16 x^2+12 x^3\right)}{4 x+3 x^2+e^{x^2} \left(4 x+3 x^2\right)} \, dx","Integrate[(4 + 6*x + E^x^2*(4 + 6*x + 16*x^2 + 12*x^3))/(4*x + 3*x^2 + E^x^2*(4*x + 3*x^2)),x]","2 \log \left(e^{x^2}+1\right)+\log (x)+\log (3 x+4)","\log \left(\frac{\left(e^{x^2} x+x\right)^2 \left(3 x^2+4 x\right)}{5 x^2}\right)",1,"2*Log[1 + E^x^2] + Log[x] + Log[4 + 3*x]","A",1
8311,1,21,21,0.0277474,"\int \frac{-5 x+5 x^2+e^{e^{x/5}+\frac{x}{5}} x^2-5 \log (5)}{5 x^2} \, dx","Integrate[(-5*x + 5*x^2 + E^(E^(x/5) + x/5)*x^2 - 5*Log[5])/(5*x^2),x]","x+e^{e^{x/5}}-\log (x)+\frac{\log (5)}{x}","x+e^{e^{x/5}}-\log (x)+\frac{\log (5)}{x}",1,"E^E^(x/5) + x + Log[5]/x - Log[x]","A",1
8312,1,20,25,0.1958249,"\int \frac{-500 x-100 x^2-5 x^3+e^x \left(-200 x+70 x^2+10 x^3\right)}{800+128 e^{2 x}+160 x+8 x^2+e^x (640+64 x)} \, dx","Integrate[(-500*x - 100*x^2 - 5*x^3 + E^x*(-200*x + 70*x^2 + 10*x^3))/(800 + 128*E^(2*x) + 160*x + 8*x^2 + E^x*(640 + 64*x)),x]","-\frac{5 x^2 (x+10)}{16 \left(x+4 e^x+10\right)}","\frac{5 x \left(x^2-2 x (x+5)\right)}{16 \left(x+4 e^x+10\right)}",1,"(-5*x^2*(10 + x))/(16*(10 + 4*E^x + x))","A",1
8313,1,25,25,1.4612267,"\int \frac{e^{-2 e^x+\frac{4 e^{-2 e^x}}{900-60 \sqrt{e}+e}} \left(\left(-3600+240 \sqrt{e}-4 e\right) e^{2 e^x}-32 e^x x\right)}{900 x^2-60 \sqrt{e} x^2+e x^2} \, dx","Integrate[(E^(-2*E^x + 4/(E^(2*E^x)*(900 - 60*Sqrt[E] + E)))*((-3600 + 240*Sqrt[E] - 4*E)*E^(2*E^x) - 32*E^x*x))/(900*x^2 - 60*Sqrt[E]*x^2 + E*x^2),x]","\frac{4 e^{\frac{4 e^{-2 e^x}}{\left(\sqrt{e}-30\right)^2}}}{x}","\frac{4 e^{\frac{4 e^{-2 e^x}}{\left(\sqrt{e}-30\right)^2}}}{x}",1,"(4*E^(4/((-30 + Sqrt[E])^2*E^(2*E^x))))/x","A",1
8314,1,33,29,0.1968581,"\int \frac{\left(-16 x+28 x^2-8 x^3\right) \log (x)+\left(8 x-4 x^2+\left(8 x-28 x^2+12 x^3\right) \log (x)\right) \log \left(e^{-2 x} \left(-2 x^2+x^3\right)\right)+\left(-16 x+8 x^2\right) \log (x) \log \left(e^{-2 x} \left(-2 x^2+x^3\right)\right) \log \left(\frac{\log \left(e^{-2 x} \left(-2 x^2+x^3\right)\right)}{x \log (x)}\right)}{(-2+x) \log (x) \log \left(e^{-2 x} \left(-2 x^2+x^3\right)\right)} \, dx","Integrate[((-16*x + 28*x^2 - 8*x^3)*Log[x] + (8*x - 4*x^2 + (8*x - 28*x^2 + 12*x^3)*Log[x])*Log[(-2*x^2 + x^3)/E^(2*x)] + (-16*x + 8*x^2)*Log[x]*Log[(-2*x^2 + x^3)/E^(2*x)]*Log[Log[(-2*x^2 + x^3)/E^(2*x)]/(x*Log[x])])/((-2 + x)*Log[x]*Log[(-2*x^2 + x^3)/E^(2*x)]),x]","4 x^3+4 x^2 \log \left(\frac{\log \left(e^{-2 x} (x-2) x^2\right)}{x \log (x)}\right)","4 x^2 \left(\log \left(\frac{\log \left(e^{-2 x} (x-2) x^2\right)}{x \log (x)}\right)+x\right)",1,"4*x^3 + 4*x^2*Log[Log[((-2 + x)*x^2)/E^(2*x)]/(x*Log[x])]","A",1
8315,1,51,27,0.9389438,"\int \left(5 e^{3 x^2-e^{3+2 x} x^2} \left(24 e^{10} x+e^{13+2 x} \left(-8 x-8 x^2\right)\right)+25 e^{6 x^2-2 e^{3+2 x} x^2} \left(12 e^{10} x+e^{13+2 x} \left(-4 x-4 x^2\right)\right)\right) \, dx","Integrate[5*E^(3*x^2 - E^(3 + 2*x)*x^2)*(24*E^10*x + E^(13 + 2*x)*(-8*x - 8*x^2)) + 25*E^(6*x^2 - 2*E^(3 + 2*x)*x^2)*(12*E^10*x + E^(13 + 2*x)*(-4*x - 4*x^2)),x]","-20 \left(-\frac{5}{4} e^{-2 e^{2 x+3} x^2+6 x^2+10}-e^{-e^{2 x+3} x^2+3 x^2+10}\right)","e^{10} \left(5 e^{\left(3-e^{2 x+3}\right) x^2}+2\right)^2",1,"-20*((-5*E^(10 + 6*x^2 - 2*E^(3 + 2*x)*x^2))/4 - E^(10 + 3*x^2 - E^(3 + 2*x)*x^2))","A",1
8316,1,23,23,0.6289712,"\int \frac{4 e^{x^2+\frac{3+x^3}{x}} x^3+e^{\frac{3+x^3}{x}} \left(9-3 x-6 x^3+e^{x^2} \left(-6+2 x+4 x^3\right)\right) \log \left(\frac{1}{2} \left(-3+2 e^{x^2}\right)\right)}{-3 x+2 e^{x^2} x} \, dx","Integrate[(4*E^(x^2 + (3 + x^3)/x)*x^3 + E^((3 + x^3)/x)*(9 - 3*x - 6*x^3 + E^x^2*(-6 + 2*x + 4*x^3))*Log[(-3 + 2*E^x^2)/2])/(-3*x + 2*E^x^2*x),x]","e^{x^2+\frac{3}{x}} x \log \left(e^{x^2}-\frac{3}{2}\right)","e^{x^2+\frac{3}{x}} x \log \left(e^{x^2}-\frac{3}{2}\right)",1,"E^(3/x + x^2)*x*Log[-3/2 + E^x^2]","A",1
8317,1,27,27,0.1642941,"\int \frac{-30 x+20 x^2-20 x^3+5 x^4+(270-90 x) \log (x)+\left(135-135 x+180 x^2-45 x^3\right) \log ^2(x)+\left(-15 x^2+5 x^3+\left(135 x-45 x^2\right) \log ^2(x)\right) \log \left(\frac{3-x}{-x^2+9 x \log ^2(x)}\right)}{3 x^3-x^4+\left(-27 x^2+9 x^3\right) \log ^2(x)+\left(3 x^2-x^3+\left(-27 x+9 x^2\right) \log ^2(x)\right) \log \left(\frac{3-x}{-x^2+9 x \log ^2(x)}\right)} \, dx","Integrate[(-30*x + 20*x^2 - 20*x^3 + 5*x^4 + (270 - 90*x)*Log[x] + (135 - 135*x + 180*x^2 - 45*x^3)*Log[x]^2 + (-15*x^2 + 5*x^3 + (135*x - 45*x^2)*Log[x]^2)*Log[(3 - x)/(-x^2 + 9*x*Log[x]^2)])/(3*x^3 - x^4 + (-27*x^2 + 9*x^3)*Log[x]^2 + (3*x^2 - x^3 + (-27*x + 9*x^2)*Log[x]^2)*Log[(3 - x)/(-x^2 + 9*x*Log[x]^2)]),x]","5 \log \left(x+\log \left(\frac{x-3}{x \left(x-9 \log ^2(x)\right)}\right)\right)-5 x","5 \left(\log \left(x+\log \left(\frac{x-3}{x \left(x-9 \log ^2(x)\right)}\right)\right)-x\right)",1,"-5*x + 5*Log[x + Log[(-3 + x)/(x*(x - 9*Log[x]^2))]]","A",1
8318,1,47,23,0.0741116,"\int \frac{125-335 x-210 x^2+454 x^3-193 x^4+33 x^5-2 x^6+\left(125-75 x-110 x^2+74 x^3-15 x^4+x^5\right) \log \left(1-x^2\right)}{125-75 x-110 x^2+74 x^3-15 x^4+x^5} \, dx","Integrate[(125 - 335*x - 210*x^2 + 454*x^3 - 193*x^4 + 33*x^5 - 2*x^6 + (125 - 75*x - 110*x^2 + 74*x^3 - 15*x^4 + x^5)*Log[1 - x^2])/(125 - 75*x - 110*x^2 + 74*x^3 - 15*x^4 + x^5),x]","-x^2+x \log \left(1-x^2\right)+x-\frac{10}{x-5}-\frac{25}{(x-5)^2}+\log (1-x)-\log (x+1)+2 \tanh ^{-1}(x)","x \left(\log \left(1-x^2\right)-\frac{x}{(x-5)^2}-x+1\right)",1,"-25/(-5 + x)^2 - 10/(-5 + x) + x - x^2 + 2*ArcTanh[x] + Log[1 - x] - Log[1 + x] + x*Log[1 - x^2]","B",1
8319,1,18,24,0.0202135,"\int \frac{20+e^{2 x} (-25+50 x) \log (4)}{4 x^2} \, dx","Integrate[(20 + E^(2*x)*(-25 + 50*x)*Log[4])/(4*x^2),x]","\frac{5 \left(5 e^{2 x} \log (4)-4\right)}{4 x}","-\frac{5 \left(-\frac{2 x}{e}-5 e^{2 x} \log (4)+4\right)}{4 x}",1,"(5*(-4 + 5*E^(2*x)*Log[4]))/(4*x)","A",1
8320,1,23,25,0.1106609,"\int \frac{\left(-4+x^2\right) \log (x) \log ^2(\log (x))+e^{\frac{4 x}{\log (\log (x))}} \left(-4 x+4 x \log (x) \log (\log (x))-\log (x) \log ^2(\log (x))\right)}{e^{\frac{8 x}{\log (\log (x))}} \log (x) \log ^2(\log (x))+e^{\frac{4 x}{\log (\log (x))}} \left(8-4 x+2 x^2\right) \log (x) \log ^2(\log (x))+\left(16-16 x+12 x^2-4 x^3+x^4\right) \log (x) \log ^2(\log (x))} \, dx","Integrate[((-4 + x^2)*Log[x]*Log[Log[x]]^2 + E^((4*x)/Log[Log[x]])*(-4*x + 4*x*Log[x]*Log[Log[x]] - Log[x]*Log[Log[x]]^2))/(E^((8*x)/Log[Log[x]])*Log[x]*Log[Log[x]]^2 + E^((4*x)/Log[Log[x]])*(8 - 4*x + 2*x^2)*Log[x]*Log[Log[x]]^2 + (16 - 16*x + 12*x^2 - 4*x^3 + x^4)*Log[x]*Log[Log[x]]^2),x]","-\frac{x}{x^2-2 x+e^{\frac{4 x}{\log (\log (x))}}+4}","\frac{x}{-(x-1)^2-e^{\frac{4 x}{\log (\log (x))}}-3}",1,"-(x/(4 + E^((4*x)/Log[Log[x]]) - 2*x + x^2))","A",1
8321,1,26,26,0.0658577,"\int \frac{-27 x+123 x^2-30 x^3+\left(576-168 x+126 x^2-30 x^3+(120-30 x) \log (4-x)\right) \log \left(\frac{1}{5} \left(24-x+5 x^2+5 \log (4-x)\right)\right)}{\left(-96 x^3+28 x^4-21 x^5+5 x^6+\left(-20 x^3+5 x^4\right) \log (4-x)\right) \log ^2\left(\frac{1}{5} \left(24-x+5 x^2+5 \log (4-x)\right)\right)} \, dx","Integrate[(-27*x + 123*x^2 - 30*x^3 + (576 - 168*x + 126*x^2 - 30*x^3 + (120 - 30*x)*Log[4 - x])*Log[(24 - x + 5*x^2 + 5*Log[4 - x])/5])/((-96*x^3 + 28*x^4 - 21*x^5 + 5*x^6 + (-20*x^3 + 5*x^4)*Log[4 - x])*Log[(24 - x + 5*x^2 + 5*Log[4 - x])/5]^2),x]","\frac{3}{x^2 \log \left(x^2-\frac{x}{5}+\log (4-x)+\frac{24}{5}\right)}","\frac{3}{x^2 \log \left(x^2-\frac{x}{5}+\log (4-x)+\frac{24}{5}\right)}",1,"3/(x^2*Log[24/5 - x/5 + x^2 + Log[4 - x]])","A",1
8322,1,124,28,0.1818393,"\int \frac{262144+x^5-2 x^6+e^{12 x+10 x^4} \left(458752-1376256 x-4587520 x^4\right)+e^{18 x+15 x^4} \left(229376-1032192 x-3440640 x^4\right)+e^{6 x+5 x^4} \left(524288-786432 x-2621440 x^4\right)+e^{24 x+20 x^4} \left(71680-430080 x-1433600 x^4\right)+e^{30 x+25 x^4} \left(14336-107520 x-358400 x^4\right)+e^{36 x+30 x^4} \left(1792-16128 x-53760 x^4\right)+e^{42 x+35 x^4} \left(128-1344 x-4480 x^4\right)+e^{48 x+40 x^4} \left(4-48 x-160 x^4\right)}{x^5} \, dx","Integrate[(262144 + x^5 - 2*x^6 + E^(12*x + 10*x^4)*(458752 - 1376256*x - 4587520*x^4) + E^(18*x + 15*x^4)*(229376 - 1032192*x - 3440640*x^4) + E^(6*x + 5*x^4)*(524288 - 786432*x - 2621440*x^4) + E^(24*x + 20*x^4)*(71680 - 430080*x - 1433600*x^4) + E^(30*x + 25*x^4)*(14336 - 107520*x - 358400*x^4) + E^(36*x + 30*x^4)*(1792 - 16128*x - 53760*x^4) + E^(42*x + 35*x^4)*(128 - 1344*x - 4480*x^4) + E^(48*x + 40*x^4)*(4 - 48*x - 160*x^4))/x^5,x]","-\frac{x^6-x^5+131072 e^{5 x^4+6 x}+114688 e^{2 x \left(5 x^3+6\right)}+57344 e^{3 x \left(5 x^3+6\right)}+17920 e^{4 x \left(5 x^3+6\right)}+3584 e^{5 x \left(5 x^3+6\right)}+448 e^{6 x \left(5 x^3+6\right)}+32 e^{7 x \left(5 x^3+6\right)}+e^{8 x \left(5 x^3+6\right)}+65536}{x^4}","-\frac{\left(e^{5 \left(x^4+x\right)+x}+4\right)^8}{x^4}-x^2+x+5",1,"-((65536 + 114688*E^(2*x*(6 + 5*x^3)) + 57344*E^(3*x*(6 + 5*x^3)) + 17920*E^(4*x*(6 + 5*x^3)) + 3584*E^(5*x*(6 + 5*x^3)) + 448*E^(6*x*(6 + 5*x^3)) + 32*E^(7*x*(6 + 5*x^3)) + E^(8*x*(6 + 5*x^3)) + 131072*E^(6*x + 5*x^4) - x^5 + x^6)/x^4)","B",1
8323,1,11,21,0.0020344,"\int \frac{16}{1+64 x+1024 x^2} \, dx","Integrate[16/(1 + 64*x + 1024*x^2),x]","-\frac{1}{2 (32 x+1)}","\frac{x^2}{2 x^2+\frac{x}{16}}+\log (\log (4))",1,"-1/2*1/(1 + 32*x)","A",1
8324,1,107,24,0.3997435,"\int \frac{1}{3} \exp \left(-4+\frac{e^{33 x} x^2+8 e^{29 x} x^2 \log (x)+28 e^{25 x} x^2 \log ^2(x)+56 e^{21 x} x^2 \log ^3(x)+70 e^{17 x} x^2 \log ^4(x)+56 e^{13 x} x^2 \log ^5(x)+28 e^{9 x} x^2 \log ^6(x)+8 e^{5 x} x^2 \log ^7(x)+e^x x^2 \log ^8(x)}{3 e^4}\right) \left(8 e^{29 x} x+e^{33 x} \left(2 x+33 x^2\right)+\left(56 e^{25 x} x+e^{29 x} \left(16 x+232 x^2\right)\right) \log (x)+\left(168 e^{21 x} x+e^{25 x} \left(56 x+700 x^2\right)\right) \log ^2(x)+\left(280 e^{17 x} x+e^{21 x} \left(112 x+1176 x^2\right)\right) \log ^3(x)+\left(280 e^{13 x} x+e^{17 x} \left(140 x+1190 x^2\right)\right) \log ^4(x)+\left(168 e^{9 x} x+e^{13 x} \left(112 x+728 x^2\right)\right) \log ^5(x)+\left(56 e^{5 x} x+e^{9 x} \left(56 x+252 x^2\right)\right) \log ^6(x)+\left(8 e^x x+e^{5 x} \left(16 x+40 x^2\right)\right) \log ^7(x)+e^x \left(2 x+x^2\right) \log ^8(x)\right) \, dx","Integrate[(E^(-4 + (E^(33*x)*x^2 + 8*E^(29*x)*x^2*Log[x] + 28*E^(25*x)*x^2*Log[x]^2 + 56*E^(21*x)*x^2*Log[x]^3 + 70*E^(17*x)*x^2*Log[x]^4 + 56*E^(13*x)*x^2*Log[x]^5 + 28*E^(9*x)*x^2*Log[x]^6 + 8*E^(5*x)*x^2*Log[x]^7 + E^x*x^2*Log[x]^8)/(3*E^4))*(8*E^(29*x)*x + E^(33*x)*(2*x + 33*x^2) + (56*E^(25*x)*x + E^(29*x)*(16*x + 232*x^2))*Log[x] + (168*E^(21*x)*x + E^(25*x)*(56*x + 700*x^2))*Log[x]^2 + (280*E^(17*x)*x + E^(21*x)*(112*x + 1176*x^2))*Log[x]^3 + (280*E^(13*x)*x + E^(17*x)*(140*x + 1190*x^2))*Log[x]^4 + (168*E^(9*x)*x + E^(13*x)*(112*x + 728*x^2))*Log[x]^5 + (56*E^(5*x)*x + E^(9*x)*(56*x + 252*x^2))*Log[x]^6 + (8*E^x*x + E^(5*x)*(16*x + 40*x^2))*Log[x]^7 + E^x*(2*x + x^2)*Log[x]^8))/3,x]","x^{\frac{8}{3} e^{29 x-4} x^2} \exp \left(\frac{1}{3} e^{x-4} x^2 \left(e^{32 x}+\log ^8(x)+8 e^{4 x} \log ^7(x)+28 e^{8 x} \log ^6(x)+56 e^{12 x} \log ^5(x)+70 e^{16 x} \log ^4(x)+56 e^{20 x} \log ^3(x)+28 e^{24 x} \log ^2(x)\right)\right)","e^{\frac{1}{3} e^{x-4} x^2 \left(e^{4 x}+\log (x)\right)^8}",1,"E^((E^(-4 + x)*x^2*(E^(32*x) + 28*E^(24*x)*Log[x]^2 + 56*E^(20*x)*Log[x]^3 + 70*E^(16*x)*Log[x]^4 + 56*E^(12*x)*Log[x]^5 + 28*E^(8*x)*Log[x]^6 + 8*E^(4*x)*Log[x]^7 + Log[x]^8))/3)*x^((8*E^(-4 + 29*x)*x^2)/3)","B",1
8325,1,26,25,0.0546233,"\int \frac{\left(600-160 x-136 x^2-16 x^3\right) \log ^2(2 x)+e^{\frac{x}{(40+8 x) \log (2 x)}} \left(-5 x-x^2+5 x \log (2 x)+\left(200+80 x+8 x^2\right) \log ^2(2 x)\right)}{\left(200+80 x+8 x^2\right) \log ^2(2 x)} \, dx","Integrate[((600 - 160*x - 136*x^2 - 16*x^3)*Log[2*x]^2 + E^(x/((40 + 8*x)*Log[2*x]))*(-5*x - x^2 + 5*x*Log[2*x] + (200 + 80*x + 8*x^2)*Log[2*x]^2))/((200 + 80*x + 8*x^2)*Log[2*x]^2),x]","-x \left(x-e^{\frac{x}{8 (x+5) \log (2 x)}}-3\right)","x \left(-x+e^{\frac{x}{8 (x+5) \log (2 x)}}+3\right)",1,"-(x*(-3 - E^(x/(8*(5 + x)*Log[2*x])) + x))","A",1
8326,1,26,29,0.0085629,"\int \frac{2+e^4 \left(-2 e^2+2 x\right)}{e^4 \left(e^2-x\right)} \, dx","Integrate[(2 + E^4*(-2*E^2 + 2*x))/(E^4*(E^2 - x)),x]","\frac{2 \left(-e^4 x-\log \left(e^2-x\right)+e^6-4\right)}{e^4}","2 (5-x)-\frac{\log \left(2 \left(e^2-x\right)^2\right)}{e^4}-\log (4)",1,"(2*(-4 + E^6 - E^4*x - Log[E^2 - x]))/E^4","A",1
8327,1,18,22,0.2188293,"\int \frac{e^{-e^{\frac{3}{5+x}}} \left(1500 x+600 x^2+90 e^{\frac{3}{5+x}} x^2+60 x^3\right)}{25+10 x+x^2} \, dx","Integrate[(1500*x + 600*x^2 + 90*E^(3/(5 + x))*x^2 + 60*x^3)/(E^E^(3/(5 + x))*(25 + 10*x + x^2)),x]","30 e^{-e^{\frac{3}{x+5}}} x^2","10 \left(3 e^{-e^{\frac{3}{x+5}}} x^2-4\right)",1,"(30*x^2)/E^E^(3/(5 + x))","A",1
8328,1,33,31,0.1964375,"\int \frac{2 e^{2 x} \log ^2(x)+4 e^x \log ^4(x)+2 \log ^6(x)+e^{\frac{3 x+15 \log (x)}{\log (x)}} \left(-3 e^x x^2+3 e^x x^2 \log (x)+\left(-3 x^2+e^x \left(2 x-x^2\right)\right) \log ^2(x)+\left(-2 x+3 x^2\right) \log ^3(x)+2 x \log ^4(x)\right)}{2 e^{2 x} \log ^2(x)+4 e^x \log ^4(x)+2 \log ^6(x)} \, dx","Integrate[(2*E^(2*x)*Log[x]^2 + 4*E^x*Log[x]^4 + 2*Log[x]^6 + E^((3*x + 15*Log[x])/Log[x])*(-3*E^x*x^2 + 3*E^x*x^2*Log[x] + (-3*x^2 + E^x*(2*x - x^2))*Log[x]^2 + (-2*x + 3*x^2)*Log[x]^3 + 2*x*Log[x]^4))/(2*E^(2*x)*Log[x]^2 + 4*E^x*Log[x]^4 + 2*Log[x]^6),x]","\frac{1}{2} \left(\frac{x^2 e^{\frac{3 x}{\log (x)}+15}}{e^x+\log ^2(x)}+2 x\right)","\frac{x^2 e^{3 \left(\frac{x}{\log (x)}+5\right)}}{2 \left(e^x+\log ^2(x)\right)}+x",1,"(2*x + (E^(15 + (3*x)/Log[x])*x^2)/(E^x + Log[x]^2))/2","A",1
8329,1,30,25,0.0712842,"\int \frac{-6+84 x+12 x^2+(588+84 x) \log (x)+\left(x^2+2 x^3+\left(-1+12 x+28 x^2\right) \log (x)+(49+98 x) \log ^2(x)\right) \log ^2\left(-x^2+(1-14 x) \log (x)-49 \log ^2(x)\right)}{\left(x^3+\left(-x+14 x^2\right) \log (x)+49 x \log ^2(x)\right) \log ^2\left(-x^2+(1-14 x) \log (x)-49 \log ^2(x)\right)} \, dx","Integrate[(-6 + 84*x + 12*x^2 + (588 + 84*x)*Log[x] + (x^2 + 2*x^3 + (-1 + 12*x + 28*x^2)*Log[x] + (49 + 98*x)*Log[x]^2)*Log[-x^2 + (1 - 14*x)*Log[x] - 49*Log[x]^2]^2)/((x^3 + (-x + 14*x^2)*Log[x] + 49*x*Log[x]^2)*Log[-x^2 + (1 - 14*x)*Log[x] - 49*Log[x]^2]^2),x]","-\frac{6}{\log \left(-x^2-49 \log ^2(x)-14 x \log (x)+\log (x)\right)}+2 x+\log (x)","2 x+\log (x)-\frac{6}{\log \left(\log (x)-(x+7 \log (x))^2\right)}+2",1,"2*x + Log[x] - 6/Log[-x^2 + Log[x] - 14*x*Log[x] - 49*Log[x]^2]","A",1
8330,1,38,28,0.017561,"\int \frac{2552-8633 x+11437 x^2-9906 x^3+5150 x^4-1033 x^5+x^6}{677-4010 x+9103 x^2-9876 x^3+5135 x^4-1030 x^5+x^6} \, dx","Integrate[(2552 - 8633*x + 11437*x^2 - 9906*x^3 + 5150*x^4 - 1033*x^5 + x^6)/(677 - 4010*x + 9103*x^2 - 9876*x^3 + 5135*x^4 - 1030*x^5 + x^6),x]","-3 \log \left(-x^5+1029 x^4-4106 x^3+5770 x^2-3333 x+677\right)+x+12 \log (1-x)","x-3 \left(\log \left(-4 \left(16-\frac{3}{(1-x)^2}\right)^2+x-1\right)-\log (2)\right)",1,"x + 12*Log[1 - x] - 3*Log[677 - 3333*x + 5770*x^2 - 4106*x^3 + 1029*x^4 - x^5]","A",1
8331,1,39,22,0.1228065,"\int \frac{4 e^4+e^{e^{16+32 e^x+24 e^{2 x}+8 e^{3 x}+e^{4 x}+x}} \left(1+e^{16+32 e^x+24 e^{2 x}+8 e^{3 x}+e^{4 x}+x} \left(x+32 e^x x+48 e^{2 x} x+24 e^{3 x} x+4 e^{4 x} x\right)\right)}{e^4} \, dx","Integrate[(4*E^4 + E^E^(16 + 32*E^x + 24*E^(2*x) + 8*E^(3*x) + E^(4*x) + x)*(1 + E^(16 + 32*E^x + 24*E^(2*x) + 8*E^(3*x) + E^(4*x) + x)*(x + 32*E^x*x + 48*E^(2*x)*x + 24*E^(3*x)*x + 4*E^(4*x)*x)))/E^4,x]","x \exp \left(e^{x+32 e^x+24 e^{2 x}+8 e^{3 x}+e^{4 x}+16}-4\right)+4 x","e^{e^{\left(e^x+2\right)^4+x}-4} x+4 x+13",1,"4*x + E^(-4 + E^(16 + 32*E^x + 24*E^(2*x) + 8*E^(3*x) + E^(4*x) + x))*x","A",1
8332,1,39,19,0.0402074,"\int \frac{60-50 x+(-10+10 x) \log (-1+x)}{-4+8 x-5 x^2+x^3} \, dx","Integrate[(60 - 50*x + (-10 + 10*x)*Log[-1 + x])/(-4 + 8*x - 5*x^2 + x^3),x]","10 \left(\log (1-x)-\log (2-x)+\frac{4-\log (x-1)}{x-2}+2 \tanh ^{-1}(3-2 x)\right)","\frac{10 (2 x-\log (x-1))}{x-2}+2",1,"10*(2*ArcTanh[3 - 2*x] + Log[1 - x] - Log[2 - x] + (4 - Log[-1 + x])/(-2 + x))","B",1
8333,1,28,33,0.0635875,"\int \frac{\left(-20+104 x-40 x^2+4 x^3+\left(100 x-40 x^2+4 x^3\right) \log (4)-20 \log (x)\right) \log \left(\frac{5-x+5 x^2-x^3+\left(5 x^2-x^3\right) \log (4)-2 x \log (x)}{-25+5 x}\right)}{25-10 x+26 x^2-10 x^3+x^4+\left(25 x^2-10 x^3+x^4\right) \log (4)+\left(-10 x+2 x^2\right) \log (x)} \, dx","Integrate[((-20 + 104*x - 40*x^2 + 4*x^3 + (100*x - 40*x^2 + 4*x^3)*Log[4] - 20*Log[x])*Log[(5 - x + 5*x^2 - x^3 + (5*x^2 - x^3)*Log[4] - 2*x*Log[x])/(-25 + 5*x)])/(25 - 10*x + 26*x^2 - 10*x^3 + x^4 + (25*x^2 - 10*x^3 + x^4)*Log[4] + (-10*x + 2*x^2)*Log[x]),x]","\log ^2\left(\frac{1}{5} \left(-\left(x^2 (1+\log (4))\right)-\frac{2 x \log (x)}{x-5}-1\right)\right)","\log ^2\left(\frac{1}{5} \left(-x^2+x^2 (-\log (4))+\frac{2 x \log (x)}{5-x}-1\right)\right)",1,"Log[(-1 - x^2*(1 + Log[4]) - (2*x*Log[x])/(-5 + x))/5]^2","A",1
8334,1,21,21,0.1691283,"\int \frac{e^{-x^2} \left(-22 e^{x^2}+22 e^{x^2} \log (x)+x^x \left(2+\left(-2-2 x+4 x^2\right) \log (x)-2 x \log ^2(x)\right)\right)}{\log ^2(x)} \, dx","Integrate[(-22*E^x^2 + 22*E^x^2*Log[x] + x^x*(2 + (-2 - 2*x + 4*x^2)*Log[x] - 2*x*Log[x]^2))/(E^x^2*Log[x]^2),x]","\frac{2 x \left(11-e^{-x^2} x^x\right)}{\log (x)}","\frac{2 x \left(11-e^{-x^2} x^x\right)}{\log (x)}",1,"(2*x*(11 - x^x/E^x^2))/Log[x]","A",1
8335,1,35,30,0.0334845,"\int \frac{\left(392-232 x-368 x^2+240 x^3+74 x^4-60 x^5+6 x^6\right) \log \left(\frac{-8-392 x+120 x^2+188 x^3-60 x^4+4 x^5}{-2+x^2}\right)}{4+196 x-62 x^2-192 x^3+60 x^4+45 x^5-15 x^6+x^7} \, dx","Integrate[((392 - 232*x - 368*x^2 + 240*x^3 + 74*x^4 - 60*x^5 + 6*x^6)*Log[(-8 - 392*x + 120*x^2 + 188*x^3 - 60*x^4 + 4*x^5)/(-2 + x^2)])/(4 + 196*x - 62*x^2 - 192*x^3 + 60*x^4 + 45*x^5 - 15*x^6 + x^7),x]","\log ^2\left(\frac{4 \left(x^5-15 x^4+47 x^3+30 x^2-98 x-2\right)}{x^2-2}\right)","\log ^2\left(4 x \left(\frac{2}{2 x-x^3}+(7-x)^2-x\right)\right)",1,"Log[(4*(-2 - 98*x + 30*x^2 + 47*x^3 - 15*x^4 + x^5))/(-2 + x^2)]^2","A",1
8336,1,29,30,0.0922264,"\int \frac{-19 x-12 x^2+e^2 (15+10 x)+\left(-10 e^2+12 x\right) \log ^2(5)+\left(-3 x-2 x^2+e^2 (3+2 x)+\left(-2 e^2+2 x\right) \log ^2(5)\right) \log \left(-e^2+x\right)+\left(2+x-\log ^2(5)\right) \log \left(2+x-\log ^2(5)\right)}{-20 x^2-10 x^3+e^2 \left(20 x+10 x^2\right)+\left(-10 e^2 x+10 x^2\right) \log ^2(5)+\left(e^2 (-10-5 x)+10 x+5 x^2+\left(5 e^2-5 x\right) \log ^2(5)\right) \log \left(2+x-\log ^2(5)\right)+\log \left(-e^2+x\right) \left(-4 x^2-2 x^3+e^2 \left(4 x+2 x^2\right)+\left(-2 e^2 x+2 x^2\right) \log ^2(5)+\left(e^2 (-2-x)+2 x+x^2+\left(e^2-x\right) \log ^2(5)\right) \log \left(2+x-\log ^2(5)\right)\right)} \, dx","Integrate[(-19*x - 12*x^2 + E^2*(15 + 10*x) + (-10*E^2 + 12*x)*Log[5]^2 + (-3*x - 2*x^2 + E^2*(3 + 2*x) + (-2*E^2 + 2*x)*Log[5]^2)*Log[-E^2 + x] + (2 + x - Log[5]^2)*Log[2 + x - Log[5]^2])/(-20*x^2 - 10*x^3 + E^2*(20*x + 10*x^2) + (-10*E^2*x + 10*x^2)*Log[5]^2 + (E^2*(-10 - 5*x) + 10*x + 5*x^2 + (5*E^2 - 5*x)*Log[5]^2)*Log[2 + x - Log[5]^2] + Log[-E^2 + x]*(-4*x^2 - 2*x^3 + E^2*(4*x + 2*x^2) + (-2*E^2*x + 2*x^2)*Log[5]^2 + (E^2*(-2 - x) + 2*x + x^2 + (E^2 - x)*Log[5]^2)*Log[2 + x - Log[5]^2])),x]","\log \left(2 x-\log \left(x+2-\log ^2(5)\right)\right)+\log \left(\log \left(x-e^2\right)+5\right)","\log \left(\left(\log \left(x-e^2\right)+5\right) \left(\frac{1}{2} \log \left(x+2-\log ^2(5)\right)-x\right)\right)",1,"Log[5 + Log[-E^2 + x]] + Log[2*x - Log[2 + x - Log[5]^2]]","A",1
8337,1,135,22,0.0837268,"\int \frac{e^3 (14-2 x)+14 x-2 x^2+\left(-7 x+2 x^2+2 x^3\right) \log \left(\frac{-7+2 x+2 x^2}{20 x^2}\right)}{-7 x+2 x^2+2 x^3} \, dx","Integrate[(E^3*(14 - 2*x) + 14*x - 2*x^2 + (-7*x + 2*x^2 + 2*x^3)*Log[(-7 + 2*x + 2*x^2)/(20*x^2)])/(-7*x + 2*x^2 + 2*x^3),x]","x \log \left(\frac{2 x^2+2 x-7}{20 x^2}\right)-\frac{1}{2} \left(1-\sqrt{15}-2 e^3\right) \log \left(-2 x+\sqrt{15}-1\right)-2 e^3 \log (x)-\frac{1}{2} \left(1+\sqrt{15}-2 e^3\right) \log \left(2 x+\sqrt{15}+1\right)-2 \left(-\frac{1}{4} \left(1-\sqrt{15}\right) \log \left(2 x-\sqrt{15}+1\right)-\frac{1}{4} \left(1+\sqrt{15}\right) \log \left(2 x+\sqrt{15}+1\right)\right)","\left(x+e^3\right) \log \left(\frac{x^2+x-\frac{7}{2}}{10 x^2}\right)",1,"-1/2*((1 - Sqrt[15] - 2*E^3)*Log[-1 + Sqrt[15] - 2*x]) - 2*E^3*Log[x] - ((1 + Sqrt[15] - 2*E^3)*Log[1 + Sqrt[15] + 2*x])/2 - 2*(-1/4*((1 - Sqrt[15])*Log[1 - Sqrt[15] + 2*x]) - ((1 + Sqrt[15])*Log[1 + Sqrt[15] + 2*x])/4) + x*Log[(-7 + 2*x + 2*x^2)/(20*x^2)]","B",1
8338,1,9,9,0.0000629,"\int \frac{1}{-2+e^3} \, dx","Integrate[(-2 + E^3)^(-1),x]","\frac{x}{e^3-2}","\frac{x}{e^3-2}",1,"x/(-2 + E^3)","A",1
8339,1,14,15,0.0010873,"\int (-1-2 x+5 \log (x)) \, dx","Integrate[-1 - 2*x + 5*Log[x],x]","-x^2-6 x+5 x \log (x)","x (-x+5 (\log (x)-1)-1)-5",1,"-6*x - x^2 + 5*x*Log[x]","A",1
8340,1,28,31,0.8549524,"\int \frac{-1125000-757500 x-191250 x^2-21250 x^3+e^{e^{x^2}} \left(-281250-93750 x+e^{x^2} \left(-562500 x^2-375000 x^3-62500 x^4\right)\right)}{9000000 x^3+140625 e^{3 e^{x^2}} x^3+4590000 x^4+780300 x^5+44217 x^6+e^{2 e^{x^2}} \left(1687500 x^3+286875 x^4\right)+e^{e^{x^2}} \left(6750000 x^3+2295000 x^4+195075 x^5\right)} \, dx","Integrate[(-1125000 - 757500*x - 191250*x^2 - 21250*x^3 + E^E^x^2*(-281250 - 93750*x + E^x^2*(-562500*x^2 - 375000*x^3 - 62500*x^4)))/(9000000*x^3 + 140625*E^(3*E^x^2)*x^3 + 4590000*x^4 + 780300*x^5 + 44217*x^6 + E^(2*E^x^2)*(1687500*x^3 + 286875*x^4) + E^E^x^2*(6750000*x^3 + 2295000*x^4 + 195075*x^5)),x]","\frac{625 (x+3)^2}{9 x^2 \left(25 e^{e^{x^2}}+17 x+100\right)^2}","\frac{(x+3)^2}{x^2 \left(3 \left(-e^{e^{x^2}}+x-4\right)-\frac{126 x}{25}\right)^2}",1,"(625*(3 + x)^2)/(9*x^2*(100 + 25*E^E^x^2 + 17*x)^2)","A",1
8341,1,19,22,0.0551136,"\int \left(4+5 e^{-8+4 x}+2 x+e^{-8+4 x} (5+20 x) \log (x)\right) \, dx","Integrate[4 + 5*E^(-8 + 4*x) + 2*x + E^(-8 + 4*x)*(5 + 20*x)*Log[x],x]","x^2+4 x+5 e^{4 x-8} x \log (x)","x-\left(x \left(-x-5 e^{4 x-8} \log (x)-3\right)\right)+2",1,"4*x + x^2 + 5*E^(-8 + 4*x)*x*Log[x]","A",1
8342,1,20,20,0.3323714,"\int \frac{1+34 x+3 x^2+x^3+e^{2 x} \left(66 x^2+68 x^3+4 x^4+2 x^5\right)+\left(x+e^{2 x} \left(2 x^2+2 x^3\right)\right) \log (x)}{33 x+x^2+x^3+x \log (x)} \, dx","Integrate[(1 + 34*x + 3*x^2 + x^3 + E^(2*x)*(66*x^2 + 68*x^3 + 4*x^4 + 2*x^5) + (x + E^(2*x)*(2*x^2 + 2*x^3))*Log[x])/(33*x + x^2 + x^3 + x*Log[x]),x]","e^{2 x} x^2+\log \left(x^2+x+\log (x)+33\right)+x","e^{2 x} x^2+\log \left(x^2+x+\log (x)+33\right)+x",1,"x + E^(2*x)*x^2 + Log[33 + x + x^2 + Log[x]]","A",1
8343,1,16,19,0.0118247,"\int \frac{e^{2 x} \left(-x^2-2 x^3\right)+\log (4)}{x^2} \, dx","Integrate[(E^(2*x)*(-x^2 - 2*x^3) + Log[4])/x^2,x]","-e^{2 x} x-\frac{\log (4)}{x}","-e^{2 x} x-\frac{x+\log (4)}{x}+8",1,"-(E^(2*x)*x) - Log[4]/x","A",1
8344,1,24,26,0.0219877,"\int \frac{32-128 x+128 x^2+e^4 \left(8+7 x-28 x^2+28 x^3\right)}{e^4 \left(8-32 x+32 x^2\right)} \, dx","Integrate[(32 - 128*x + 128*x^2 + E^4*(8 + 7*x - 28*x^2 + 28*x^3))/(E^4*(8 - 32*x + 32*x^2)),x]","\frac{7 x^2}{16}+\frac{4 x}{e^4}+\frac{1}{2-4 x}-\frac{7}{64}","x \left(x-\frac{1}{2 x-1}+\frac{4}{e^4}\right)-\frac{9 x^2}{16}",1,"-7/64 + (2 - 4*x)^(-1) + (4*x)/E^4 + (7*x^2)/16","A",1
8345,1,18,18,0.1741906,"\int \frac{-100+100 x \log (x)+100 \log (x) \log \left(\frac{1}{3} e^{-x} \log (x)\right) \log \left(\log \left(\frac{1}{3} e^{-x} \log (x)\right)\right)}{\log (x) \log \left(\frac{1}{3} e^{-x} \log (x)\right) \log ^2\left(\log \left(\frac{1}{3} e^{-x} \log (x)\right)\right)} \, dx","Integrate[(-100 + 100*x*Log[x] + 100*Log[x]*Log[Log[x]/(3*E^x)]*Log[Log[Log[x]/(3*E^x)]])/(Log[x]*Log[Log[x]/(3*E^x)]*Log[Log[Log[x]/(3*E^x)]]^2),x]","\frac{100 x}{\log \left(\log \left(\frac{1}{3} e^{-x} \log (x)\right)\right)}","\frac{100 x}{\log \left(\log \left(\frac{1}{3} e^{-x} \log (x)\right)\right)}",1,"(100*x)/Log[Log[Log[x]/(3*E^x)]]","A",1
8346,1,47,34,1.0913967,"\int \frac{-400 x^2+800 x^3-400 x^4+\left(800 x-1600 x^2+800 x^3\right) \log (-1+x)+\left(-400+800 x-400 x^2\right) \log ^2(-1+x)+\exp \left(\frac{-x+x^2-x^3+\left(-x+x^2\right) \log (-1+x)}{x-x^2+(-1+x) \log (-1+x)}\right) \left(200 x^2-400 x^4+200 x^5+\left(200 x-400 x^2+800 x^3-400 x^4\right) \log (-1+x)+\left(200 x-400 x^2+200 x^3\right) \log ^2(-1+x)\right)}{\exp \left(\frac{3 \left(-x+x^2-x^3+\left(-x+x^2\right) \log (-1+x)\right)}{x-x^2+(-1+x) \log (-1+x)}\right) \left(x^3-2 x^4+x^5+\left(-2 x^2+4 x^3-2 x^4\right) \log (-1+x)+\left(x-2 x^2+x^3\right) \log ^2(-1+x)\right)+\exp \left(\frac{2 \left(-x+x^2-x^3+\left(-x+x^2\right) \log (-1+x)\right)}{x-x^2+(-1+x) \log (-1+x)}\right) \left(-3 x^3+6 x^4-3 x^5+\left(6 x^2-12 x^3+6 x^4\right) \log (-1+x)+\left(-3 x+6 x^2-3 x^3\right) \log ^2(-1+x)\right) \log \left(x^2\right)+\exp \left(\frac{-x+x^2-x^3+\left(-x+x^2\right) \log (-1+x)}{x-x^2+(-1+x) \log (-1+x)}\right) \left(3 x^3-6 x^4+3 x^5+\left(-6 x^2+12 x^3-6 x^4\right) \log (-1+x)+\left(3 x-6 x^2+3 x^3\right) \log ^2(-1+x)\right) \log ^2\left(x^2\right)+\left(-x^3+2 x^4-x^5+\left(2 x^2-4 x^3+2 x^4\right) \log (-1+x)+\left(-x+2 x^2-x^3\right) \log ^2(-1+x)\right) \log ^3\left(x^2\right)} \, dx","Integrate[(-400*x^2 + 800*x^3 - 400*x^4 + (800*x - 1600*x^2 + 800*x^3)*Log[-1 + x] + (-400 + 800*x - 400*x^2)*Log[-1 + x]^2 + E^((-x + x^2 - x^3 + (-x + x^2)*Log[-1 + x])/(x - x^2 + (-1 + x)*Log[-1 + x]))*(200*x^2 - 400*x^4 + 200*x^5 + (200*x - 400*x^2 + 800*x^3 - 400*x^4)*Log[-1 + x] + (200*x - 400*x^2 + 200*x^3)*Log[-1 + x]^2))/(E^((3*(-x + x^2 - x^3 + (-x + x^2)*Log[-1 + x]))/(x - x^2 + (-1 + x)*Log[-1 + x]))*(x^3 - 2*x^4 + x^5 + (-2*x^2 + 4*x^3 - 2*x^4)*Log[-1 + x] + (x - 2*x^2 + x^3)*Log[-1 + x]^2) + E^((2*(-x + x^2 - x^3 + (-x + x^2)*Log[-1 + x]))/(x - x^2 + (-1 + x)*Log[-1 + x]))*(-3*x^3 + 6*x^4 - 3*x^5 + (6*x^2 - 12*x^3 + 6*x^4)*Log[-1 + x] + (-3*x + 6*x^2 - 3*x^3)*Log[-1 + x]^2)*Log[x^2] + E^((-x + x^2 - x^3 + (-x + x^2)*Log[-1 + x])/(x - x^2 + (-1 + x)*Log[-1 + x]))*(3*x^3 - 6*x^4 + 3*x^5 + (-6*x^2 + 12*x^3 - 6*x^4)*Log[-1 + x] + (3*x - 6*x^2 + 3*x^3)*Log[-1 + x]^2)*Log[x^2]^2 + (-x^3 + 2*x^4 - x^5 + (2*x^2 - 4*x^3 + 2*x^4)*Log[-1 + x] + (-x + 2*x^2 - x^3)*Log[-1 + x]^2)*Log[x^2]^3),x]","-\frac{100}{\left(\exp \left(\frac{x \left(x^2-x-(x-1) \log (x-1)+1\right)}{(x-1) (x-\log (x-1))}\right)-\log \left(x^2\right)\right)^2}","1-\frac{100}{\left(\log \left(x^2\right)-e^{x+\frac{x}{(x-1) (x-\log (x-1))}}\right)^2}",1,"-100/(E^((x*(1 - x + x^2 - (-1 + x)*Log[-1 + x]))/((-1 + x)*(x - Log[-1 + x]))) - Log[x^2])^2","A",1
8347,1,19,26,0.0255634,"\int \frac{-9 e^6-162 x+81 x^2}{e^{12} x^2+81 x^4-54 x^5+9 x^6+e^6 \left(18 x^3-6 x^4\right)} \, dx","Integrate[(-9*E^6 - 162*x + 81*x^2)/(E^12*x^2 + 81*x^4 - 54*x^5 + 9*x^6 + E^6*(18*x^3 - 6*x^4)),x]","-\frac{9}{x \left(3 (x-3) x-e^6\right)}","\frac{9}{\left(\frac{e^6}{(x-3) x}-3\right) (x-3) x^2}",1,"-9/(x*(-E^6 + 3*(-3 + x)*x))","A",1
8348,1,16,18,0.0148198,"\int e^{\frac{50}{x}+2 x} \left(2400 x^6-384 x^7-96 x^8\right) \, dx","Integrate[E^(50/x + 2*x)*(2400*x^6 - 384*x^7 - 96*x^8),x]","-48 e^{2 x+\frac{50}{x}} x^8","-48 e^{2 x+\frac{50}{x}} x^8-2",1,"-48*E^(50/x + 2*x)*x^8","A",1
8349,1,15,13,0.0014384,"\int (-3-e-2 x-3 \log (x)) \, dx","Integrate[-3 - E - 2*x - 3*Log[x],x]","-x^2-e x-3 x \log (x)","x (-x-3 \log (x)-e)",1,"-(E*x) - x^2 - 3*x*Log[x]","A",1
8350,1,41,29,0.0030833,"\int \left(33+e^{18} (-8-4 x)-2 x+24 x^2+4 x^3+60 x^5-10 x^9\right) \, dx","Integrate[33 + E^18*(-8 - 4*x) - 2*x + 24*x^2 + 4*x^3 + 60*x^5 - 10*x^9,x]","-x^{10}+10 x^6+x^4+8 x^3-2 e^{18} x^2-x^2-8 e^{18} x+33 x","-x^2 \left(5-x^4\right)^2+\left((x+2)^2-e^{18}\right)^2+x",1,"33*x - 8*E^18*x - x^2 - 2*E^18*x^2 + 8*x^3 + x^4 + 10*x^6 - x^10","A",1
8351,1,7,9,0.0011329,"\int -8 e^{-2 x} \, dx","Integrate[-8/E^(2*x),x]","4 e^{-2 x}","4 e^{-2 x}+1",1,"4/E^(2*x)","A",1
8352,1,24,28,0.0211002,"\int \frac{12 e^5-9 x^2+e^{-3+2 x} \left(-12 x^2-24 x^3\right)}{4 x^2} \, dx","Integrate[(12*E^5 - 9*x^2 + E^(-3 + 2*x)*(-12*x^2 - 24*x^3))/(4*x^2),x]","-3 e^{2 x-3} x-\frac{9 x}{4}-\frac{3 e^5}{x}","3 \left(-e^{2 x-3} x-\frac{3 x}{4}-\frac{e^5}{x}\right)+2",1,"(-3*E^5)/x - (9*x)/4 - 3*E^(-3 + 2*x)*x","A",1
8353,1,48,25,0.6751258,"\int \frac{e^{-5+x} \left(2+e^x\right) \left(80+14 x-16 x^2+2 x^3+e^x \left(80+14 x-16 x^2+2 x^3\right)\right)+\left(-92+40 x-4 x^2+e^x \left(-46+20 x-2 x^2\right)+e^{-5+x} \left(2+e^x\right) \left(46-20 x+2 x^2+e^x \left(23-10 x+x^2\right)\right)\right) \log \left(-2+e^{-5+x} \left(2+e^x\right)\right)}{-100+40 x-4 x^2+e^x \left(-50+20 x-2 x^2\right)+e^{-5+x} \left(2+e^x\right) \left(50-20 x+2 x^2+e^x \left(25-10 x+x^2\right)\right)} \, dx","Integrate[(E^(-5 + x)*(2 + E^x)*(80 + 14*x - 16*x^2 + 2*x^3 + E^x*(80 + 14*x - 16*x^2 + 2*x^3)) + (-92 + 40*x - 4*x^2 + E^x*(-46 + 20*x - 2*x^2) + E^(-5 + x)*(2 + E^x)*(46 - 20*x + 2*x^2 + E^x*(23 - 10*x + x^2)))*Log[-2 + E^(-5 + x)*(2 + E^x)])/(-100 + 40*x - 4*x^2 + E^x*(-50 + 20*x - 2*x^2) + E^(-5 + x)*(2 + E^x)*(50 - 20*x + 2*x^2 + E^x*(25 - 10*x + x^2))),x]","\frac{\left(x^2-5 x+2\right) \log \left(e^{x-5} \left(e^x+2\right)-2\right)}{x-5}+2 \log \left(2 e^x+e^{2 x}-2 e^5\right)","\left(x+\frac{2}{x-5}+2\right) \log \left(e^{x-5} \left(e^x+2\right)-2\right)",1,"2*Log[-2*E^5 + 2*E^x + E^(2*x)] + ((2 - 5*x + x^2)*Log[-2 + E^(-5 + x)*(2 + E^x)])/(-5 + x)","A",1
8354,1,31,35,3.3871777,"\int \frac{e^{2 x} (9-5 x)+e^x \left(54-84 x+30 x^2\right)+\left(-5 e^{2 x} x+e^x \left(78 x-84 x^2+30 x^3\right)\right) \log (x)+e^x \left(162 x-180 x^2+50 x^3\right) \log ^2(x)}{36 x+e^{2 x} x-72 x^2+36 x^3+e^x \left(12 x-12 x^2\right)+\left(216 x-336 x^2+120 x^3+e^x \left(36 x-20 x^2\right)\right) \log (x)+\left(324 x-360 x^2+100 x^3\right) \log ^2(x)} \, dx","Integrate[(E^(2*x)*(9 - 5*x) + E^x*(54 - 84*x + 30*x^2) + (-5*E^(2*x)*x + E^x*(78*x - 84*x^2 + 30*x^3))*Log[x] + E^x*(162*x - 180*x^2 + 50*x^3)*Log[x]^2)/(36*x + E^(2*x)*x - 72*x^2 + 36*x^3 + E^x*(12*x - 12*x^2) + (216*x - 336*x^2 + 120*x^3 + E^x*(36*x - 20*x^2))*Log[x] + (324*x - 360*x^2 + 100*x^3)*Log[x]^2),x]","-\frac{e^x (5 x-9) \log (x)}{-6 x+e^x-2 (5 x-9) \log (x)+6}","\frac{e^x}{\frac{e^x-3 (2 x-2)}{(5 (1-x)+4) \log (x)}+2}",1,"-((E^x*(-9 + 5*x)*Log[x])/(6 + E^x - 6*x - 2*(-9 + 5*x)*Log[x]))","A",1
8355,1,62,29,0.1137853,"\int \frac{\frac{e^{2 x} \left(16+e^{3 x} (8-40 x)-32 x\right)}{x}+10 x+\frac{e^{4 x} \left(-4+8 x+e^{3 x} (-2+7 x)\right)}{x^2}+e^{3 x} \left(53 x+15 x^2+15 x \log (4)\right)}{5 x} \, dx","Integrate[((E^(2*x)*(16 + E^(3*x)*(8 - 40*x) - 32*x))/x + 10*x + (E^(4*x)*(-4 + 8*x + E^(3*x)*(-2 + 7*x)))/x^2 + E^(3*x)*(53*x + 15*x^2 + 15*x*Log[4]))/(5*x),x]","\frac{1}{5} \left(\frac{2 e^{4 x}}{x^2}+\frac{e^{7 x}}{x^2}+10 x-\frac{16 e^{2 x}}{x}-\frac{8 e^{5 x}}{x}+e^{3 x} (5 x+16+5 \log (4))\right)","\left(e^{3 x}+2\right) \left(\frac{1}{5} \left(\frac{e^{2 x}}{x}-4\right)^2+x+\log (4)\right)",1,"((2*E^(4*x))/x^2 + E^(7*x)/x^2 - (16*E^(2*x))/x - (8*E^(5*x))/x + 10*x + E^(3*x)*(16 + 5*x + 5*Log[4]))/5","B",1
8356,0,0,32,7.4168445,"\int \frac{e^{\frac{-5-6 x+6 \log \left(\frac{16}{x^2}\right)}{-x+\log \left(\frac{16}{x^2}\right)}} \left(-40 x-30 x^2+3 x^3+x^4+e^x \left(10 x+5 x^2-2 x^3+x^4\right)+\left(-16 x^2-2 x^3+e^x \left(4 x^2-2 x^3\right)\right) \log \left(\frac{16}{x^2}\right)+\left(8 x+x^2+e^x \left(-2 x+x^2\right)\right) \log ^2\left(\frac{16}{x^2}\right)\right)}{16 x^2+e^{2 x} x^2+8 x^3+x^4+e^x \left(-8 x^2-2 x^3\right)+\left(-32 x-2 e^{2 x} x-16 x^2-2 x^3+e^x \left(16 x+4 x^2\right)\right) \log \left(\frac{16}{x^2}\right)+\left(16+e^{2 x}+e^x (-8-2 x)+8 x+x^2\right) \log ^2\left(\frac{16}{x^2}\right)} \, dx","Integrate[(E^((-5 - 6*x + 6*Log[16/x^2])/(-x + Log[16/x^2]))*(-40*x - 30*x^2 + 3*x^3 + x^4 + E^x*(10*x + 5*x^2 - 2*x^3 + x^4) + (-16*x^2 - 2*x^3 + E^x*(4*x^2 - 2*x^3))*Log[16/x^2] + (8*x + x^2 + E^x*(-2*x + x^2))*Log[16/x^2]^2))/(16*x^2 + E^(2*x)*x^2 + 8*x^3 + x^4 + E^x*(-8*x^2 - 2*x^3) + (-32*x - 2*E^(2*x)*x - 16*x^2 - 2*x^3 + E^x*(16*x + 4*x^2))*Log[16/x^2] + (16 + E^(2*x) + E^x*(-8 - 2*x) + 8*x + x^2)*Log[16/x^2]^2),x]","\int \frac{e^{\frac{-5-6 x+6 \log \left(\frac{16}{x^2}\right)}{-x+\log \left(\frac{16}{x^2}\right)}} \left(-40 x-30 x^2+3 x^3+x^4+e^x \left(10 x+5 x^2-2 x^3+x^4\right)+\left(-16 x^2-2 x^3+e^x \left(4 x^2-2 x^3\right)\right) \log \left(\frac{16}{x^2}\right)+\left(8 x+x^2+e^x \left(-2 x+x^2\right)\right) \log ^2\left(\frac{16}{x^2}\right)\right)}{16 x^2+e^{2 x} x^2+8 x^3+x^4+e^x \left(-8 x^2-2 x^3\right)+\left(-32 x-2 e^{2 x} x-16 x^2-2 x^3+e^x \left(16 x+4 x^2\right)\right) \log \left(\frac{16}{x^2}\right)+\left(16+e^{2 x}+e^x (-8-2 x)+8 x+x^2\right) \log ^2\left(\frac{16}{x^2}\right)} \, dx","\frac{x^2 e^{6-\frac{5}{\log \left(\frac{16}{x^2}\right)-x}}}{x-e^x+4}",1,"Integrate[(E^((-5 - 6*x + 6*Log[16/x^2])/(-x + Log[16/x^2]))*(-40*x - 30*x^2 + 3*x^3 + x^4 + E^x*(10*x + 5*x^2 - 2*x^3 + x^4) + (-16*x^2 - 2*x^3 + E^x*(4*x^2 - 2*x^3))*Log[16/x^2] + (8*x + x^2 + E^x*(-2*x + x^2))*Log[16/x^2]^2))/(16*x^2 + E^(2*x)*x^2 + 8*x^3 + x^4 + E^x*(-8*x^2 - 2*x^3) + (-32*x - 2*E^(2*x)*x - 16*x^2 - 2*x^3 + E^x*(16*x + 4*x^2))*Log[16/x^2] + (16 + E^(2*x) + E^x*(-8 - 2*x) + 8*x + x^2)*Log[16/x^2]^2), x]","F",-1
8357,1,58,28,0.5417566,"\int \frac{-20+20 x-5 x^2+e^x \left(4-3 x+x^2+x \log (2)\right)+\left(-5 x^2-5 x^3+e^x \left(-6 x+x^2+2 x \log (2)\right)\right) \log (x)}{16 e^x-8 e^x x^2 \log (x)+e^x x^4 \log ^2(x)} \, dx","Integrate[(-20 + 20*x - 5*x^2 + E^x*(4 - 3*x + x^2 + x*Log[2]) + (-5*x^2 - 5*x^3 + E^x*(-6*x + x^2 + 2*x*Log[2]))*Log[x])/(16*E^x - 8*E^x*x^2*Log[x] + E^x*x^4*Log[x]^2),x]","\frac{e^{-x} \left(5 x \left(x^2+8\right)-e^x \left(x^3+x^2 (\log (2)-3)+8 x+4 (\log (4)-6)\right)\right)}{\left(x^2+8\right) \left(x^2 \log (x)-4\right)}","\frac{5 e^{-x} x-x+3-\log (2)}{x^2 \log (x)-4}",1,"(5*x*(8 + x^2) - E^x*(8*x + x^3 + x^2*(-3 + Log[2]) + 4*(-6 + Log[4])))/(E^x*(8 + x^2)*(-4 + x^2*Log[x]))","B",1
8358,1,6,8,0.0014062,"\int \frac{1-2 \log (x)}{x^3} \, dx","Integrate[(1 - 2*Log[x])/x^3,x]","\frac{\log (x)}{x^2}","\frac{\log (x)}{x^2}+3",1,"Log[x]/x^2","A",1
8359,1,28,22,0.0256617,"\int \frac{1}{36} e^{-2 x} x^2 \left(-\frac{9 e^{2 x}}{x^2}+100 x-50 x^2+\frac{3 e^x (-80+40 x)}{x}\right) \, dx","Integrate[(x^2*((-9*E^(2*x))/x^2 + 100*x - 50*x^2 + (3*E^x*(-80 + 40*x))/x))/(36*E^(2*x)),x]","\frac{1}{36} \left(25 e^{-2 x} x^4-120 e^{-x} x^2-9 x\right)","\left(2-\frac{5}{6} e^{-x} x^2\right)^2-\frac{x}{4}",1,"(-9*x - (120*x^2)/E^x + (25*x^4)/E^(2*x))/36","A",1
8360,1,30,22,0.0912911,"\int \left(e^x+e^{240-240 x-60 x^2+60 x^3+15 x^4} \left(768+384 x-576 x^2-192 x^3\right)\right) \, dx","Integrate[E^x + E^(240 - 240*x - 60*x^2 + 60*x^3 + 15*x^4)*(768 + 384*x - 576*x^2 - 192*x^3),x]","e^x-\frac{16}{5} e^{15 x^4+60 x^3-60 x^2-240 x+240}","e^x-\frac{16}{5} e^{15 (x (x+2)-4)^2}+3",1,"E^x - (16*E^(240 - 240*x - 60*x^2 + 60*x^3 + 15*x^4))/5","A",1
8361,1,86,33,0.3206955,"\int \frac{12 x^2 \log (2)+3 e^{2/x} x^2 \log (2)+3 e^{\frac{2 \left(x^3+x^3 \log (2)\right)}{\log (2)}} x^2 \log (2)+e^{\frac{1}{x}} \left(5+12 x^2\right) \log (2)+e^{\frac{x^3+x^3 \log (2)}{\log (2)}} \left(15 x^4-6 e^{\frac{1}{x}} x^2 \log (2)+\left(-12 x^2+15 x^4\right) \log (2)\right)}{12 x^2 \log (2)+12 e^{\frac{1}{x}} x^2 \log (2)+3 e^{2/x} x^2 \log (2)+3 e^{\frac{2 \left(x^3+x^3 \log (2)\right)}{\log (2)}} x^2 \log (2)+e^{\frac{x^3+x^3 \log (2)}{\log (2)}} \left(-12 x^2 \log (2)-6 e^{\frac{1}{x}} x^2 \log (2)\right)} \, dx","Integrate[(12*x^2*Log[2] + 3*E^(2/x)*x^2*Log[2] + 3*E^((2*(x^3 + x^3*Log[2]))/Log[2])*x^2*Log[2] + E^x^(-1)*(5 + 12*x^2)*Log[2] + E^((x^3 + x^3*Log[2])/Log[2])*(15*x^4 - 6*E^x^(-1)*x^2*Log[2] + (-12*x^2 + 15*x^4)*Log[2]))/(12*x^2*Log[2] + 12*E^x^(-1)*x^2*Log[2] + 3*E^(2/x)*x^2*Log[2] + 3*E^((2*(x^3 + x^3*Log[2]))/Log[2])*x^2*Log[2] + E^((x^3 + x^3*Log[2])/Log[2])*(-12*x^2*Log[2] - 6*E^x^(-1)*x^2*Log[2])),x]","\frac{1}{3} \left(\frac{15 \left(e^{\frac{1}{x}}+2\right) x^4 (1+\log (2))+e^{\frac{1}{x}} \log (32)}{\left(-e^{x^3 \left(1+\frac{1}{\log (2)}\right)}+e^{\frac{1}{x}}+2\right) \left(x^4 \left(e^{\frac{1}{x}} (3+\log (8))+6+\log (64)\right)+e^{\frac{1}{x}} \log (2)\right)}+3 x\right)","\frac{5}{3 \left(-e^{\frac{x^2 (x+x \log (2))}{\log (2)}}+e^{\frac{1}{x}}+2\right)}+x",1,"(3*x + (15*(2 + E^x^(-1))*x^4*(1 + Log[2]) + E^x^(-1)*Log[32])/((2 + E^x^(-1) - E^(x^3*(1 + Log[2]^(-1))))*(E^x^(-1)*Log[2] + x^4*(6 + E^x^(-1)*(3 + Log[8]) + Log[64]))))/3","B",1
8362,1,35,32,0.2979978,"\int \frac{4 e^{2-x}+4 x+e^{\frac{4+(5+x) \log (3)}{\log (3)}} \left(-e^{4-2 x}-2 e^{2-x} x-x^2\right)+e^{\frac{4+(5+x) \log (3)}{\log (3)}} \left(-e^{4-2 x} x-2 e^{2-x} x^2-x^3\right) \log (x)+\left(-x+e^{2-x} x\right) \log \left(x^4\right)}{e^{4-2 x} x+2 e^{2-x} x^2+x^3} \, dx","Integrate[(4*E^(2 - x) + 4*x + E^((4 + (5 + x)*Log[3])/Log[3])*(-E^(4 - 2*x) - 2*E^(2 - x)*x - x^2) + E^((4 + (5 + x)*Log[3])/Log[3])*(-(E^(4 - 2*x)*x) - 2*E^(2 - x)*x^2 - x^3)*Log[x] + (-x + E^(2 - x)*x)*Log[x^4])/(E^(4 - 2*x)*x + 2*E^(2 - x)*x^2 + x^3),x]","\frac{e^x \log \left(x^4\right)}{e^x x+e^2}-e^{x+5+\frac{4}{\log (3)}} \log (x)","\frac{\log \left(x^4\right)}{x+e^{2-x}}-e^{x+5+\frac{4}{\log (3)}} \log (x)",1,"-(E^(5 + x + 4/Log[3])*Log[x]) + (E^x*Log[x^4])/(E^2 + E^x*x)","A",1
8363,1,25,26,0.0571714,"\int \frac{1}{3} e^{e^x} \left(e^{1+2 x} (1-x)+e^{10} (-1+2 x)+e^x \left(-e x+e^{10} \left(-x+x^2\right)\right)\right) \, dx","Integrate[(E^E^x*(E^(1 + 2*x)*(1 - x) + E^10*(-1 + 2*x) + E^x*(-(E*x) + E^10*(-x + x^2))))/3,x]","\frac{1}{3} e^{e^x+1} (x-1) \left(e^9 x-e^x\right)","\frac{1}{3} e^{e^x+1} (1-x) \left(e^x-e^9 x\right)",1,"(E^(1 + E^x)*(-1 + x)*(-E^x + E^9*x))/3","A",1
8364,1,55,34,0.014046,"\int \frac{3744-7968 x+2880 x^2+\frac{\left(13 x-6 x^2\right) \left(664 x^2-480 x^3\right)}{3 e^3}+\frac{\left(13 x-6 x^2\right)^2 \left(-26 x^2+24 x^3\right)}{9 e^6}}{-13 x^3+6 x^4} \, dx","Integrate[(3744 - 7968*x + 2880*x^2 + ((13*x - 6*x^2)*(664*x^2 - 480*x^3))/(3*E^3) + ((13*x - 6*x^2)^2*(-26*x^2 + 24*x^3))/(9*E^6))/(-13*x^3 + 6*x^4),x]","\frac{4 x^4}{e^6}-\frac{52 x^3}{3 e^6}+\frac{80 x^2}{e^3}+\frac{169 x^2}{9 e^6}+\frac{144}{x^2}-\frac{664 x}{3 e^3}-\frac{480}{x}","\left(\frac{-x^2+(4-x) x+\frac{x}{3}}{e^3}+4 \left(\frac{3}{x}-5\right)\right)^2",1,"144/x^2 - 480/x - (664*x)/(3*E^3) + (169*x^2)/(9*E^6) + (80*x^2)/E^3 - (52*x^3)/(3*E^6) + (4*x^4)/E^6","A",1
8365,1,22,23,1.1563642,"\int \frac{e^{1-x+\frac{2 e^{1-x} x}{-1+x+5 x^2}} \left(-2+2 x-12 x^2-10 x^3\right)}{1-2 x-9 x^2+10 x^3+25 x^4} \, dx","Integrate[(E^(1 - x + (2*E^(1 - x)*x)/(-1 + x + 5*x^2))*(-2 + 2*x - 12*x^2 - 10*x^3))/(1 - 2*x - 9*x^2 + 10*x^3 + 25*x^4),x]","e^{\frac{2 e^{1-x} x}{5 x^2+x-1}}","e^{\frac{2 e^{1-x} x}{x (5 x+1)-1}}",1,"E^((2*E^(1 - x)*x)/(-1 + x + 5*x^2))","A",1
8366,1,27,32,0.4941956,"\int \frac{-3 e^{\frac{1}{9} \left(45-18 x^2+9 e^3 x^2-5 x^3\right)}-3 x+\left(3 x+e^{\frac{1}{9} \left(45-18 x^2+9 e^3 x^2-5 x^3\right)} \left(-12 x^2+6 e^3 x^2-5 x^3\right)\right) \log (x)}{3 x \log ^2(x)} \, dx","Integrate[(-3*E^((45 - 18*x^2 + 9*E^3*x^2 - 5*x^3)/9) - 3*x + (3*x + E^((45 - 18*x^2 + 9*E^3*x^2 - 5*x^3)/9)*(-12*x^2 + 6*E^3*x^2 - 5*x^3))*Log[x])/(3*x*Log[x]^2),x]","\frac{e^{-\frac{5 x^3}{9}+\left(e^3-2\right) x^2+5}+x}{\log (x)}","\frac{e^{x \left(-\frac{5 x^2}{9}-\left(3-e^3\right) x+x\right)+5}+x}{\log (x)}",1,"(E^(5 + (-2 + E^3)*x^2 - (5*x^3)/9) + x)/Log[x]","A",1
8367,1,16,16,0.1208869,"\int \frac{-12 x^2-6 x \log (x)+\left(2+7 x+6 x^2\right) \log ^3(2+3 x)}{\left(4 x^2+6 x^3+\left(2 x+3 x^2\right) \log (x)\right) \log ^3(2+3 x)} \, dx","Integrate[(-12*x^2 - 6*x*Log[x] + (2 + 7*x + 6*x^2)*Log[2 + 3*x]^3)/((4*x^2 + 6*x^3 + (2*x + 3*x^2)*Log[x])*Log[2 + 3*x]^3),x]","\frac{1}{\log ^2(3 x+2)}+\log (2 x+\log (x))","\frac{1}{\log ^2(3 x+2)}+\log (2 x+\log (x))",1,"Log[2 + 3*x]^(-2) + Log[2*x + Log[x]]","A",1
8368,1,24,24,0.0931274,"\int \frac{2-2 x+15 x^2+15 x^3+50 x^5+\left(-20 x^2-50 x^4\right) \log \left(2 x+5 x^3\right)+\left(-4 x^3-10 x^5+\left(4 x^2+10 x^4\right) \log \left(2 x+5 x^3\right)\right) \log \left(x-\log \left(2 x+5 x^3\right)\right)}{10 x^2+25 x^4+\left(-10 x-25 x^3\right) \log \left(2 x+5 x^3\right)+\left(-2 x^2-5 x^4+\left(2 x+5 x^3\right) \log \left(2 x+5 x^3\right)\right) \log \left(x-\log \left(2 x+5 x^3\right)\right)} \, dx","Integrate[(2 - 2*x + 15*x^2 + 15*x^3 + 50*x^5 + (-20*x^2 - 50*x^4)*Log[2*x + 5*x^3] + (-4*x^3 - 10*x^5 + (4*x^2 + 10*x^4)*Log[2*x + 5*x^3])*Log[x - Log[2*x + 5*x^3]])/(10*x^2 + 25*x^4 + (-10*x - 25*x^3)*Log[2*x + 5*x^3] + (-2*x^2 - 5*x^4 + (2*x + 5*x^3)*Log[2*x + 5*x^3])*Log[x - Log[2*x + 5*x^3]]),x]","x^2+\log \left(5-\log \left(x-\log \left(x \left(5 x^2+2\right)\right)\right)\right)","x^2+\log \left(\log \left(x-\log \left(\left(5 x^2+1\right) x+x\right)\right)-5\right)",1,"x^2 + Log[5 - Log[x - Log[x*(2 + 5*x^2)]]]","A",1
8369,1,5,24,0.0002513,"\int -\frac{2}{x^2} \, dx","Integrate[-2/x^2,x]","\frac{2}{x}","2 \left(\frac{1}{x}+\frac{2}{1+\frac{1}{12} \left(e^4-\frac{17}{4}\right)}+1\right)",1,"2/x","A",1
8370,1,32,18,5.1442097,"\int \frac{2 x^5+\exp \left(\frac{36 x^4+12 x^5+x^6+4 x^{2 x}+x^x \left(24 x^2+4 x^3\right)}{4 x^4}\right) \left(6 x^5+x^6+x^{2 x} (-8+4 x+4 x \log (x))+x^x \left(-24 x^2+10 x^3+2 x^4+\left(12 x^3+2 x^4\right) \log (x)\right)\right)}{2 x^5} \, dx","Integrate[(2*x^5 + E^((36*x^4 + 12*x^5 + x^6 + 4*x^(2*x) + x^x*(24*x^2 + 4*x^3))/(4*x^4))*(6*x^5 + x^6 + x^(2*x)*(-8 + 4*x + 4*x*Log[x]) + x^x*(-24*x^2 + 10*x^3 + 2*x^4 + (12*x^3 + 2*x^4)*Log[x])))/(2*x^5),x]","e^{(x+6) x^{x-2}+x^{2 x-4}+\frac{x^2}{4}+3 x+9}+x","e^{\left(x^{x-2}+\frac{x}{2}+3\right)^2}+x",1,"E^(9 + 3*x + x^2/4 + x^(-4 + 2*x) + x^(-2 + x)*(6 + x)) + x","A",1
8371,1,26,28,0.1788403,"\int \frac{3-3 e^x+e^{x^2} \left(-6+6 e^x-12 x^2\right)+\left(-3+6 e^{x^2}\right) \log \left(-\frac{x}{-1+2 e^{x^2}}\right)}{-1+2 e^{x^2}} \, dx","Integrate[(3 - 3*E^x + E^x^2*(-6 + 6*E^x - 12*x^2) + (-3 + 6*E^x^2)*Log[-(x/(-1 + 2*E^x^2))])/(-1 + 2*E^x^2),x]","3 x \log \left(\frac{x}{1-2 e^{x^2}}\right)-6 x+3 e^x","3 \left(-x \left(2-\log \left(\frac{x}{1-2 e^{x^2}}\right)\right)+e^x+5\right)",1,"3*E^x - 6*x + 3*x*Log[x/(1 - 2*E^x^2)]","A",1
8372,1,20,23,0.2440168,"\int \frac{(-8+2 x) \log (x)+x \log (x) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)+\left((-2+2 x \log (x)) \log \left(x^2\right)+\left(4-x+\left(-4 x+x^2\right) \log (x)\right) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)\right) \log \left(2+(-4+x) \log \left(\log \left(x^2\right)\right)\right)}{\left(2 x \log (x) \log \left(x^2\right)+\left(-4 x+x^2\right) \log (x) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)\right) \log \left(2+(-4+x) \log \left(\log \left(x^2\right)\right)\right)} \, dx","Integrate[((-8 + 2*x)*Log[x] + x*Log[x]*Log[x^2]*Log[Log[x^2]] + ((-2 + 2*x*Log[x])*Log[x^2] + (4 - x + (-4*x + x^2)*Log[x])*Log[x^2]*Log[Log[x^2]])*Log[2 + (-4 + x)*Log[Log[x^2]]])/((2*x*Log[x]*Log[x^2] + (-4*x + x^2)*Log[x]*Log[x^2]*Log[Log[x^2]])*Log[2 + (-4 + x)*Log[Log[x^2]]]),x]","\log \left(\log \left((x-4) \log \left(\log \left(x^2\right)\right)+2\right)\right)+x-\log (\log (x))","x-\log \left(\frac{4 \log (x)}{\log \left((x-4) \log \left(\log \left(x^2\right)\right)+2\right)}\right)",1,"x - Log[Log[x]] + Log[Log[2 + (-4 + x)*Log[Log[x^2]]]]","A",1
8373,1,31,24,0.1257444,"\int \left(e^{\frac{512+\left(-96+96 x+32 x^2\right) \log ^2(3)}{\log ^2(3)}} (-96-64 x)+2 x\right) \, dx","Integrate[E^((512 + (-96 + 96*x + 32*x^2)*Log[3]^2)/Log[3]^2)*(-96 - 64*x) + 2*x,x]","x^2-\exp \left(32 x^2+96 x-\frac{32 \left(3 \log ^2(3)-16\right)}{\log ^2(3)}\right)","x^2-e^{32 \left(x^2+3 x-3+\frac{16}{\log ^2(3)}\right)}",1,"-E^(96*x + 32*x^2 - (32*(-16 + 3*Log[3]^2))/Log[3]^2) + x^2","A",1
8374,1,20,20,0.1295974,"\int \frac{-25+e^x (-40-60 x)-4 e^{2 x} x^2}{50+40 e^x x+8 e^{2 x} x^2} \, dx","Integrate[(-25 + E^x*(-40 - 60*x) - 4*E^(2*x)*x^2)/(50 + 40*E^x*x + 8*E^(2*x)*x^2),x]","\frac{1}{2} \left(\frac{20}{2 e^x x+5}-x\right)","\frac{1}{\frac{e^x x}{5}+\frac{1}{2}}-\frac{x}{2}",1,"(-x + 20/(5 + 2*E^x*x))/2","A",1
8375,1,52,35,0.122024,"\int \frac{e^{-2 x} \left(x^2+e^{2 x} \left(5 x^2+50 x^3-3 x^4\right)+e^x \left(5-x^2-50 x^3+28 x^4-x^5\right)+\left(x^2-2 x^3+e^x \left(-5-5 x-x^2+x^3\right)\right) \log (x)\right)}{4 x^2} \, dx","Integrate[(x^2 + E^(2*x)*(5*x^2 + 50*x^3 - 3*x^4) + E^x*(5 - x^2 - 50*x^3 + 28*x^4 - x^5) + (x^2 - 2*x^3 + E^x*(-5 - 5*x - x^2 + x^3))*Log[x])/(4*E^(2*x)*x^2),x]","\frac{1}{4} \left(x \left(-x^2+e^{-x} (x-25) x+25 x+5\right)+\frac{e^{-2 x} \left(x^2-e^x \left(x^2-5\right)\right) \log (x)}{x}\right)","\frac{1}{4} x \left(e^{-x} x-x+\frac{5}{x}\right) \left(x+\frac{e^{-x} \log (x)}{x}-25\right)",1,"(x*(5 + 25*x + ((-25 + x)*x)/E^x - x^2) + ((x^2 - E^x*(-5 + x^2))*Log[x])/(E^(2*x)*x))/4","A",1
8376,1,13,16,0.0046756,"\int \left(4+e^x (-1-x)+2 x\right) \, dx","Integrate[4 + E^x*(-1 - x) + 2*x,x]","x^2-e^x x+4 x","x \left(x-e^x+4\right)-\frac{3}{5}+\log (3)",1,"4*x - E^x*x + x^2","A",1
8377,1,27,15,0.0266769,"\int \frac{3 x^2+3 x^4-e x^4}{1+6 x^2+4 x^3+9 x^4+e^2 x^4+12 x^5+4 x^6+e \left(-2 x^2-6 x^4-4 x^5\right)} \, dx","Integrate[(3*x^2 + 3*x^4 - E*x^4)/(1 + 6*x^2 + 4*x^3 + 9*x^4 + E^2*x^4 + 12*x^5 + 4*x^6 + E*(-2*x^2 - 6*x^4 - 4*x^5)),x]","\frac{(e-3) x^2-1}{4 x^3-2 (e-3) x^2+2}","\frac{x}{\frac{1}{x^2}+2 x-e+3}",1,"(-1 + (-3 + E)*x^2)/(2 - 2*(-3 + E)*x^2 + 4*x^3)","A",1
8378,1,34,31,0.1062939,"\int \frac{-2+13 x-13 x^2+4 x^3+e^x (-2+5 x)+\left(-2+e^x (-2+x)+x-x^2\right) \log (x)+\left(-8+4 x-4 x^2+e^x (-8+4 x)\right) \log \left(e^{-x} \left(8+e^x (8-4 x)-4 x+4 x^2\right)\right)}{-8+4 x-4 x^2+e^x (-8+4 x)} \, dx","Integrate[(-2 + 13*x - 13*x^2 + 4*x^3 + E^x*(-2 + 5*x) + (-2 + E^x*(-2 + x) + x - x^2)*Log[x] + (-8 + 4*x - 4*x^2 + E^x*(-8 + 4*x))*Log[(8 + E^x*(8 - 4*x) - 4*x + 4*x^2)/E^x])/(-8 + 4*x - 4*x^2 + E^x*(-8 + 4*x)),x]","\frac{1}{4} x \left(4 \log \left(4 e^{-x} \left(x^2-x-e^x (x-2)+2\right)\right)+\log (x)\right)","x \left(\log \left(4 \left(e^{-x} \left(x^2-x+2\right)-x+2\right)\right)+\frac{\log (x)}{4}\right)",1,"(x*(Log[x] + 4*Log[(4*(2 - E^x*(-2 + x) - x + x^2))/E^x]))/4","A",1
8379,1,22,19,0.0879731,"\int \frac{18+5 x+(6+2 x) \log \left(\frac{1}{3+x}\right)+\log (x) \left(-9-3 x+(-3-x) \log \left(\frac{1}{3+x}\right)\right)+\left(-9-3 x+(-3-x) \log \left(\frac{1}{3+x}\right)\right) \log \left(3 x+x \log \left(\frac{1}{3+x}\right)\right)}{9 x^2+3 x^3+\left(3 x^2+x^3\right) \log \left(\frac{1}{3+x}\right)} \, dx","Integrate[(18 + 5*x + (6 + 2*x)*Log[(3 + x)^(-1)] + Log[x]*(-9 - 3*x + (-3 - x)*Log[(3 + x)^(-1)]) + (-9 - 3*x + (-3 - x)*Log[(3 + x)^(-1)])*Log[3*x + x*Log[(3 + x)^(-1)]])/(9*x^2 + 3*x^3 + (3*x^2 + x^3)*Log[(3 + x)^(-1)]),x]","\frac{\log (x)}{x}+\frac{\log \left(x \left(\log \left(\frac{1}{x+3}\right)+3\right)\right)}{x}","\frac{x+\log (x)+\log \left(x \left(\log \left(\frac{1}{x+3}\right)+3\right)\right)}{x}",1,"Log[x]/x + Log[x*(3 + Log[(3 + x)^(-1)])]/x","A",1
8380,1,15,15,0.0991396,"\int \frac{\left(2+2 x^2\right) \log \left(1+x^2\right)+16 x^2 \log ^7\left(\log \left(1+x^2\right)\right)+\left(1+x^2\right) \log \left(1+x^2\right) \log ^8\left(\log \left(1+x^2\right)\right)}{\left(1+x^2\right) \log \left(1+x^2\right)} \, dx","Integrate[((2 + 2*x^2)*Log[1 + x^2] + 16*x^2*Log[Log[1 + x^2]]^7 + (1 + x^2)*Log[1 + x^2]*Log[Log[1 + x^2]]^8)/((1 + x^2)*Log[1 + x^2]),x]","x \log ^8\left(\log \left(x^2+1\right)\right)+2 x","x \log ^8\left(\log \left(x^2+1\right)\right)+2 x",1,"2*x + x*Log[Log[1 + x^2]]^8","A",1
8381,1,30,30,0.1563142,"\int \frac{-100 x^2+50 x^3+25 x^4+e^{2+2 x} \left(-4+2 x+x^2\right)+e^{1+x} \left(40 x-20 x^2-10 x^3\right)+3^x \left(\left(-25 x^2-50 x^3-25 x^4\right) \log (3)+e^{1+x} \left(5+5 x-5 x^2-5 x^3+\left(5 x+10 x^2+5 x^3\right) \log (3)\right)\right)}{125 x^2+250 x^3+125 x^4+e^{2+2 x} \left(5+10 x+5 x^2\right)+e^{1+x} \left(-50 x-100 x^2-50 x^3\right)} \, dx","Integrate[(-100*x^2 + 50*x^3 + 25*x^4 + E^(2 + 2*x)*(-4 + 2*x + x^2) + E^(1 + x)*(40*x - 20*x^2 - 10*x^3) + 3^x*((-25*x^2 - 50*x^3 - 25*x^4)*Log[3] + E^(1 + x)*(5 + 5*x - 5*x^2 - 5*x^3 + (5*x + 10*x^2 + 5*x^3)*Log[3])))/(125*x^2 + 250*x^3 + 125*x^4 + E^(2 + 2*x)*(5 + 10*x + 5*x^2) + E^(1 + x)*(-50*x - 100*x^2 - 50*x^3)),x]","\frac{1}{5} \left(\frac{5\ 3^x x}{e^{x+1}-5 x}+x+\frac{5}{x+1}\right)","-\frac{3^x x}{5 x-e^{x+1}}+\frac{x}{5}+\frac{1}{x+1}",1,"(x + (5*3^x*x)/(E^(1 + x) - 5*x) + 5/(1 + x))/5","A",1
8382,1,22,24,0.0321727,"\int \frac{-20+60 x+185 x^2+15 x^3+\left(120 x+10 x^2\right) \log (x)}{48 x^6+4 x^7+\left(96 x^5+8 x^6\right) \log (x)+\left(48 x^4+4 x^5\right) \log ^2(x)+\left(-384 x^3-32 x^4+\left(-384 x^2-32 x^3\right) \log (x)\right) \log (12+x)+(768+64 x) \log ^2(12+x)} \, dx","Integrate[(-20 + 60*x + 185*x^2 + 15*x^3 + (120*x + 10*x^2)*Log[x])/(48*x^6 + 4*x^7 + (96*x^5 + 8*x^6)*Log[x] + (48*x^4 + 4*x^5)*Log[x]^2 + (-384*x^3 - 32*x^4 + (-384*x^2 - 32*x^3)*Log[x])*Log[12 + x] + (768 + 64*x)*Log[12 + x]^2),x]","-\frac{5}{4 \left(x^3+x^2 \log (x)-4 \log (x+12)\right)}","\frac{5 x}{4 \left(4 x \log (x+12)-x^3 (x+\log (x))\right)}",1,"-5/(4*(x^3 + x^2*Log[x] - 4*Log[12 + x]))","A",1
8383,1,57,37,0.0788287,"\int \frac{40 x-28 x^2-42 x^3+12 x^4+18 x^5+3 x^6+e^{2 x} \left(10 x^3+3 x^4\right)+e^x \left(-40 x^2+8 x^3+27 x^4+7 x^5\right)}{100+20 x-179 x^2-78 x^3+75 x^4+54 x^5+9 x^6+e^{2 x} \left(25 x^2+30 x^3+9 x^4\right)+e^x \left(-100 x-70 x^2+84 x^3+84 x^4+18 x^5\right)} \, dx","Integrate[(40*x - 28*x^2 - 42*x^3 + 12*x^4 + 18*x^5 + 3*x^6 + E^(2*x)*(10*x^3 + 3*x^4) + E^x*(-40*x^2 + 8*x^3 + 27*x^4 + 7*x^5))/(100 + 20*x - 179*x^2 - 78*x^3 + 75*x^4 + 54*x^5 + 9*x^6 + E^(2*x)*(25*x^2 + 30*x^3 + 9*x^4) + E^x*(-100*x - 70*x^2 + 84*x^3 + 84*x^4 + 18*x^5)),x]","-\frac{x^4}{(3 x+5) \left(3 x^3+3 \left(e^x+3\right) x^2+\left(5 e^x-1\right) x-10\right)}+\frac{x}{3}+\frac{25}{9 (3 x+5)}","\frac{x}{\frac{5}{x}-\frac{1}{\frac{x-2}{x}-e^x-x+\frac{4}{x}-2}+3}",1,"x/3 + 25/(9*(5 + 3*x)) - x^4/((5 + 3*x)*(-10 + (-1 + 5*E^x)*x + 3*(3 + E^x)*x^2 + 3*x^3))","A",1
8384,1,25,26,0.1142391,"\int \frac{x+2 x^3+e^{\frac{2 \left(4 x+x^3+e^2 \left(4+x^2\right)\right)}{x}} \left(4 x^3+e^2 \left(-8+2 x^2\right)\right)+e^{\frac{4 x+x^3+e^2 \left(4+x^2\right)}{x}} \left(-2 x^2-4 x^4+e^2 \left(8 x-2 x^3\right)\right)}{x^2} \, dx","Integrate[(x + 2*x^3 + E^((2*(4*x + x^3 + E^2*(4 + x^2)))/x)*(4*x^3 + E^2*(-8 + 2*x^2)) + E^((4*x + x^3 + E^2*(4 + x^2))/x)*(-2*x^2 - 4*x^4 + E^2*(8*x - 2*x^3)))/x^2,x]","\left(e^{\frac{\left(x+e^2\right) \left(x^2+4\right)}{x}}-x\right)^2+\log (x)","\left(e^{\frac{\left(x+e^2\right) \left(x^2+4\right)}{x}}-x\right)^2+\log (x)+6",1,"(E^(((E^2 + x)*(4 + x^2))/x) - x)^2 + Log[x]","A",1
8385,1,16,17,0.0325485,"\int \left(1+e^{e^{e^{e^{5+x}}}} \left(4+4 e^{5+e^{e^{5+x}}+e^{5+x}+x} x\right)\right) \, dx","Integrate[1 + E^E^E^E^(5 + x)*(4 + 4*E^(5 + E^E^(5 + x) + E^(5 + x) + x)*x),x]","4 e^{e^{e^{e^{x+5}}}} x+x","\left(4 e^{e^{e^{e^{x+5}}}}+1\right) x",1,"x + 4*E^E^E^E^(5 + x)*x","A",1
8386,1,26,27,0.2090135,"\int \frac{e^{13+e-x+2 x^2+\log ^2(2 x)} \left(-4-x+4 x^2+2 \log (2 x)\right)}{16 x^5} \, dx","Integrate[(E^(13 + E - x + 2*x^2 + Log[2*x]^2)*(-4 - x + 4*x^2 + 2*Log[2*x]))/(16*x^5),x]","\frac{e^{2 x^2-x+\log ^2(2 x)+e+13}}{16 x^4}","\exp \left(-x+x \left(2 x+\frac{4}{x}\right)+(\log (2 x)-2)^2+e+5\right)",1,"E^(13 + E - x + 2*x^2 + Log[2*x]^2)/(16*x^4)","A",1
8387,1,24,25,0.0769864,"\int \frac{6+x^2+24 x^3+\left(3-2 x-48 x^2\right) \log \left(\frac{1}{x^2}\right)+(1+24 x) \log ^2\left(\frac{1}{x^2}\right)}{3 x^2-6 x \log \left(\frac{1}{x^2}\right)+3 \log ^2\left(\frac{1}{x^2}\right)} \, dx","Integrate[(6 + x^2 + 24*x^3 + (3 - 2*x - 48*x^2)*Log[x^(-2)] + (1 + 24*x)*Log[x^(-2)]^2)/(3*x^2 - 6*x*Log[x^(-2)] + 3*Log[x^(-2)]^2),x]","\frac{1}{3} \left(12 x^2+\frac{3 x}{\log \left(\frac{1}{x^2}\right)-x}+x\right)","\frac{x}{\log \left(\frac{1}{x^2}\right)-x}-2 \left(\frac{1}{3}-2 x\right) x+x-2",1,"(x + 12*x^2 + (3*x)/(-x + Log[x^(-2)]))/3","A",1
8388,1,23,22,0.1568356,"\int e^{-e^x} \left(-e^{2 x}+75 x^2+20 x^3+e^x \left(7-25 x^3-5 x^4\right)\right) \, dx","Integrate[(-E^(2*x) + 75*x^2 + 20*x^3 + E^x*(7 - 25*x^3 - 5*x^4))/E^E^x,x]","e^{-e^x} \left(5 x^4+25 x^3+e^x-6\right)","e^{-e^x} \left((5 x+25) x^3+e^x-6\right)",1,"(-6 + E^x + 25*x^3 + 5*x^4)/E^E^x","A",1
8389,1,36,33,0.2720113,"\int \frac{5 e^{3+2 x}-5 x+\left(5 x-10 x^2\right) \log (x)}{\left(e^{3+2 x} x-x^2\right) \log (x) \log ^2\left(\frac{e^{2 e^{2 e^3}-2 x} \left(e^{3+2 x}-x\right)}{\log (x)}\right)} \, dx","Integrate[(5*E^(3 + 2*x) - 5*x + (5*x - 10*x^2)*Log[x])/((E^(3 + 2*x)*x - x^2)*Log[x]*Log[(E^(2*E^(2*E^3) - 2*x)*(E^(3 + 2*x) - x))/Log[x]]^2),x]","\frac{5}{\log \left(\frac{e^{2 e^{2 e^3}-2 x} \left(e^{2 x+3}-x\right)}{\log (x)}\right)}","\frac{5}{\log \left(\frac{e^{2 e^{2 e^3}} \left(e^3-e^{-2 x} x\right)}{\log (x)}\right)}",1,"5/Log[(E^(2*E^(2*E^3) - 2*x)*(E^(3 + 2*x) - x))/Log[x]]","A",1
8390,1,33,34,0.094307,"\int \frac{20 x^3-40 x^4-19 x^5-2 x^6+e^{\frac{5+x}{x^2}} \left(250+125 x+20 x^2+x^3\right)}{25 x^3+10 x^4+x^5} \, dx","Integrate[(20*x^3 - 40*x^4 - 19*x^5 - 2*x^6 + E^((5 + x)/x^2)*(250 + 125*x + 20*x^2 + x^3))/(25*x^3 + 10*x^4 + x^5),x]","-e^{\frac{5}{x^2}+\frac{1}{x}}-(x+5)^2+11 (x+5)+\frac{5}{x+5}","-x^2-e^{\frac{x+5}{x^2}}-\frac{x}{x+5}+x-1+\log \left(\frac{\log (4)}{3}\right)",1,"-E^(5/x^2 + x^(-1)) + 5/(5 + x) + 11*(5 + x) - (5 + x)^2","A",1
8391,1,39,23,0.2403101,"\int \frac{\exp \left(\frac{5 x-9 x \log (x)}{e^x (-5+x)+9 e^x \log (x)}\right) \left(-25+16 x-5 x^2+\left(90-90 x+9 x^2\right) \log (x)+(-81+81 x) \log ^2(x)\right)}{e^x \left(25-10 x+x^2\right)+e^x (-90+18 x) \log (x)+81 e^x \log ^2(x)} \, dx","Integrate[(E^((5*x - 9*x*Log[x])/(E^x*(-5 + x) + 9*E^x*Log[x]))*(-25 + 16*x - 5*x^2 + (90 - 90*x + 9*x^2)*Log[x] + (-81 + 81*x)*Log[x]^2))/(E^x*(25 - 10*x + x^2) + E^x*(-90 + 18*x)*Log[x] + 81*E^x*Log[x]^2),x]","e^{\frac{5 e^{-x} x}{x+9 \log (x)-5}} x^{-\frac{9 e^{-x} x}{x+9 \log (x)-5}}","e^{\frac{e^{-x} x}{\frac{x}{5-9 \log (x)}-1}}",1,"E^((5*x)/(E^x*(-5 + x + 9*Log[x])))/x^((9*x)/(E^x*(-5 + x + 9*Log[x])))","A",1
8392,0,0,30,1.76562,"\int \frac{-720+540 x+3 e^{4+x} x^3+\left(180 x-6 e^{4+x} x^2\right) \log \left(\frac{x}{\log (5)}\right)+3 e^{4+x} x \log ^2\left(\frac{x}{\log (5)}\right)+\left(-720 x-180 x^2+3 e^{4+x} x^2+\left(720+180 x-6 e^{4+x} x\right) \log \left(\frac{x}{\log (5)}\right)+3 e^{4+x} \log ^2\left(\frac{x}{\log (5)}\right)\right) \log \left(\frac{-240-60 x+e^{4+x} x-e^{4+x} \log \left(\frac{x}{\log (5)}\right)}{-x+\log \left(\frac{x}{\log (5)}\right)}\right)}{-240 x-60 x^2+e^{4+x} x^2+\left(240+60 x-2 e^{4+x} x\right) \log \left(\frac{x}{\log (5)}\right)+e^{4+x} \log ^2\left(\frac{x}{\log (5)}\right)} \, dx","Integrate[(-720 + 540*x + 3*E^(4 + x)*x^3 + (180*x - 6*E^(4 + x)*x^2)*Log[x/Log[5]] + 3*E^(4 + x)*x*Log[x/Log[5]]^2 + (-720*x - 180*x^2 + 3*E^(4 + x)*x^2 + (720 + 180*x - 6*E^(4 + x)*x)*Log[x/Log[5]] + 3*E^(4 + x)*Log[x/Log[5]]^2)*Log[(-240 - 60*x + E^(4 + x)*x - E^(4 + x)*Log[x/Log[5]])/(-x + Log[x/Log[5]])])/(-240*x - 60*x^2 + E^(4 + x)*x^2 + (240 + 60*x - 2*E^(4 + x)*x)*Log[x/Log[5]] + E^(4 + x)*Log[x/Log[5]]^2),x]","\int \frac{-720+540 x+3 e^{4+x} x^3+\left(180 x-6 e^{4+x} x^2\right) \log \left(\frac{x}{\log (5)}\right)+3 e^{4+x} x \log ^2\left(\frac{x}{\log (5)}\right)+\left(-720 x-180 x^2+3 e^{4+x} x^2+\left(720+180 x-6 e^{4+x} x\right) \log \left(\frac{x}{\log (5)}\right)+3 e^{4+x} \log ^2\left(\frac{x}{\log (5)}\right)\right) \log \left(\frac{-240-60 x+e^{4+x} x-e^{4+x} \log \left(\frac{x}{\log (5)}\right)}{-x+\log \left(\frac{x}{\log (5)}\right)}\right)}{-240 x-60 x^2+e^{4+x} x^2+\left(240+60 x-2 e^{4+x} x\right) \log \left(\frac{x}{\log (5)}\right)+e^{4+x} \log ^2\left(\frac{x}{\log (5)}\right)} \, dx","3 x \log \left(\frac{60 (x+4)}{x-\log \left(\frac{x}{\log (5)}\right)}-e^{x+4}\right)",1,"Integrate[(-720 + 540*x + 3*E^(4 + x)*x^3 + (180*x - 6*E^(4 + x)*x^2)*Log[x/Log[5]] + 3*E^(4 + x)*x*Log[x/Log[5]]^2 + (-720*x - 180*x^2 + 3*E^(4 + x)*x^2 + (720 + 180*x - 6*E^(4 + x)*x)*Log[x/Log[5]] + 3*E^(4 + x)*Log[x/Log[5]]^2)*Log[(-240 - 60*x + E^(4 + x)*x - E^(4 + x)*Log[x/Log[5]])/(-x + Log[x/Log[5]])])/(-240*x - 60*x^2 + E^(4 + x)*x^2 + (240 + 60*x - 2*E^(4 + x)*x)*Log[x/Log[5]] + E^(4 + x)*Log[x/Log[5]]^2), x]","F",-1
8393,1,76,26,5.1376792,"\int \frac{1179648 x^5+131072 x^6+\left(393216 x^7+131072 x^8\right) \log (3 x)+\left(1572864 x^7+262144 x^8\right) \log ^2(3 x)+\left(294912 x^9+98304 x^{10}\right) \log ^3(3 x)+\left(737280 x^9+147456 x^{10}\right) \log ^4(3 x)+\left(73728 x^{11}+24576 x^{12}\right) \log ^5(3 x)+\left(147456 x^{11}+32768 x^{12}\right) \log ^6(3 x)+\left(6144 x^{13}+2048 x^{14}\right) \log ^7(3 x)+\left(10752 x^{13}+2560 x^{14}\right) \log ^8(3 x)}{243+405 x+270 x^2+90 x^3+15 x^4+x^5} \, dx","Integrate[(1179648*x^5 + 131072*x^6 + (393216*x^7 + 131072*x^8)*Log[3*x] + (1572864*x^7 + 262144*x^8)*Log[3*x]^2 + (294912*x^9 + 98304*x^10)*Log[3*x]^3 + (737280*x^9 + 147456*x^10)*Log[3*x]^4 + (73728*x^11 + 24576*x^12)*Log[3*x]^5 + (147456*x^11 + 32768*x^12)*Log[3*x]^6 + (6144*x^13 + 2048*x^14)*Log[3*x]^7 + (10752*x^13 + 2560*x^14)*Log[3*x]^8)/(243 + 405*x + 270*x^2 + 90*x^3 + 15*x^4 + x^5),x]","\frac{256 \left(x^{14} \log ^8(3 x)+16 x^{12} \log ^6(3 x)+96 x^{10} \log ^4(3 x)+256 x^8 \log ^2(3 x)+256 \left(x^6-90 x^4-1080 x^3-4860 x^2-9720 x-7290\right)\right)}{(x+3)^4}","\frac{256 x^6 \left(x^2 \log ^2(3 x)+4\right)^4}{(-x-3)^4}",1,"(256*(256*(-7290 - 9720*x - 4860*x^2 - 1080*x^3 - 90*x^4 + x^6) + 256*x^8*Log[3*x]^2 + 96*x^10*Log[3*x]^4 + 16*x^12*Log[3*x]^6 + x^14*Log[3*x]^8))/(3 + x)^4","B",1
8394,1,28,22,0.0293424,"\int \frac{-32+32 x-8 x^2+e^{e^4} \left(-400 x+100 x^2\right)}{4-4 x+x^2} \, dx","Integrate[(-32 + 32*x - 8*x^2 + E^E^4*(-400*x + 100*x^2))/(4 - 4*x + x^2),x]","4 \left(\left(25 e^{e^4}-2\right) (x-2)+\frac{100 e^{e^4}}{x-2}\right)","4 \left(\frac{25 e^{e^4} x^2}{x-2}-2 x+5\right)",1,"4*((100*E^E^4)/(-2 + x) + (-2 + 25*E^E^4)*(-2 + x))","A",1
8395,1,29,29,0.0107606,"\int \frac{12+19 x^2-8 e^{\frac{1}{4 \log (3)}} x^3-15 x^4}{4 x^2} \, dx","Integrate[(12 + 19*x^2 - 8*E^(1/(4*Log[3]))*x^3 - 15*x^4)/(4*x^2),x]","-\frac{5 x^3}{4}-x^2 e^{\frac{1}{\log (81)}}+\frac{19 x}{4}-\frac{3}{x}","\left(3-x^2\right) \left(\frac{5 x}{4}-\frac{1}{x}+e^{\frac{1}{4 \log (3)}}\right)",1,"-3/x + (19*x)/4 - E^Log[81]^(-1)*x^2 - (5*x^3)/4","A",1
8396,1,34,28,0.0544194,"\int \frac{-9 x^4-2 x^5+e^{15} \left(288 x-152 x^2-48 x^3\right)+e^{20} \left(-148+184 x-33 x^2-18 x^3\right)+e^{10} \left(-215 x^2+6 x^3+12 x^4\right)+e^5 \left(72 x^3+16 x^4\right)}{-8 e^5 x^3+x^4+e^{20} \left(16-24 x+9 x^2\right)+e^{15} \left(-32 x+24 x^2\right)+e^{10} \left(24 x^2-6 x^3\right)} \, dx","Integrate[(-9*x^4 - 2*x^5 + E^15*(288*x - 152*x^2 - 48*x^3) + E^20*(-148 + 184*x - 33*x^2 - 18*x^3) + E^10*(-215*x^2 + 6*x^3 + 12*x^4) + E^5*(72*x^3 + 16*x^4))/(-8*E^5*x^3 + x^4 + E^20*(16 - 24*x + 9*x^2) + E^15*(-32*x + 24*x^2) + E^10*(24*x^2 - 6*x^3)),x]","x \left(\frac{e^{10}}{-x^2+4 e^5 x+e^{10} (3 x-4)}-x-9\right)","-(x+5)^2+x+\frac{x}{3 x-\left(\frac{x}{e^5}-2\right)^2}",1,"x*(-9 - x + E^10/(4*E^5*x - x^2 + E^10*(-4 + 3*x)))","A",1
8397,1,10,16,0.0006441,"\int \frac{2-e^4}{x} \, dx","Integrate[(2 - E^4)/x,x]","\left(2-e^4\right) \log (x)","\left(2-e^4\right) \log (5 x)-\frac{1}{8}",1,"(2 - E^4)*Log[x]","A",1
8398,1,16,19,0.0016552,"\int \left(1+e^5 \left(-1-3 x^2\right)\right) \, dx","Integrate[1 + E^5*(-1 - 3*x^2),x]","-e^5 x^3-e^5 x+x","-e^5 x \left(x^2+1\right)+\log \left(3 e^x\right)-6",1,"x - E^5*x - E^5*x^3","A",1
8399,1,34,23,0.3614716,"\int e^{-4 x^2-8 x \log ^2(5)-4 \log ^4(5)} \left(-52488 x+e^{4 x^2+8 x \log ^2(5)+4 \log ^4(5)} \left(2 x-6 x^2+4 x^3\right)-52488 \log ^2(5)+e^{2 x^2+4 x \log ^2(5)+2 \log ^4(5)} \left(162-324 x-648 x^2+648 x^3+\left(-648 x+648 x^2\right) \log ^2(5)\right)\right) \, dx","Integrate[E^(-4*x^2 - 8*x*Log[5]^2 - 4*Log[5]^4)*(-52488*x + E^(4*x^2 + 8*x*Log[5]^2 + 4*Log[5]^4)*(2*x - 6*x^2 + 4*x^3) - 52488*Log[5]^2 + E^(2*x^2 + 4*x*Log[5]^2 + 2*Log[5]^4)*(162 - 324*x - 648*x^2 + 648*x^3 + (-648*x + 648*x^2)*Log[5]^2)),x]","e^{-4 \left(x+\log ^2(5)\right)^2} \left((x-1) x e^{2 \left(x+\log ^2(5)\right)^2}-81\right)^2","\left(-x^2+x+81 e^{-2 \left(x+\log ^2(5)\right)^2}\right)^2",1,"(-81 + E^(2*(x + Log[5]^2)^2)*(-1 + x)*x)^2/E^(4*(x + Log[5]^2)^2)","A",1
8400,1,55,29,0.2631258,"\int \frac{\left(2 e^2 x+2 x^2\right) \log (3)+\left(-2 e^2-2 x\right) \log ^2(3)+\left(-4 e^2 x^3+4 e^2 x^2 \log (3)\right) \log \left(\frac{12 e^2+12 x}{x}\right)+\left(2 e^2 x^3+2 x^4\right) \log ^2\left(\frac{12 e^2+12 x}{x}\right)-4 e^2 x^4 \log ^3\left(\frac{12 e^2+12 x}{x}\right)+\left(2 e^2 x^4+2 x^5\right) \log ^4\left(\frac{12 e^2+12 x}{x}\right)}{e^2 x^3+x^4} \, dx","Integrate[((2*E^2*x + 2*x^2)*Log[3] + (-2*E^2 - 2*x)*Log[3]^2 + (-4*E^2*x^3 + 4*E^2*x^2*Log[3])*Log[(12*E^2 + 12*x)/x] + (2*E^2*x^3 + 2*x^4)*Log[(12*E^2 + 12*x)/x]^2 - 4*E^2*x^4*Log[(12*E^2 + 12*x)/x]^3 + (2*E^2*x^4 + 2*x^5)*Log[(12*E^2 + 12*x)/x]^4)/(E^2*x^3 + x^4),x]","\frac{x^4 \log ^4\left(\frac{12 \left(x+e^2\right)}{x}\right)+2 x^2 (x-\log (3)) \log ^2\left(\frac{12 \left(x+e^2\right)}{x}\right)-x \log (9)+\log ^2(3)}{x^2}","\frac{\left(x^2 \log ^2\left(\frac{12 \left(x+e^2\right)}{x}\right)+x-\log (3)\right)^2}{x^2}",1,"(Log[3]^2 - x*Log[9] + 2*x^2*(x - Log[3])*Log[(12*(E^2 + x))/x]^2 + x^4*Log[(12*(E^2 + x))/x]^4)/x^2","A",1
8401,1,27,27,0.0509404,"\int \frac{-32-32 x+\left(-128-64 x-32 x^2-32 \log (2)\right) \log \left(\frac{5}{16+8 x+4 x^2+4 \log (2)}\right)}{\left(-8 x-4 x^2-2 x^3-2 x \log (2)\right) \log \left(\frac{5}{16+8 x+4 x^2+4 \log (2)}\right)+\left(4+2 x+x^2+\log (2)\right) \log \left(\frac{5}{16+8 x+4 x^2+4 \log (2)}\right) \log \left(\log \left(\frac{5}{16+8 x+4 x^2+4 \log (2)}\right)\right)} \, dx","Integrate[(-32 - 32*x + (-128 - 64*x - 32*x^2 - 32*Log[2])*Log[5/(16 + 8*x + 4*x^2 + 4*Log[2])])/((-8*x - 4*x^2 - 2*x^3 - 2*x*Log[2])*Log[5/(16 + 8*x + 4*x^2 + 4*Log[2])] + (4 + 2*x + x^2 + Log[2])*Log[5/(16 + 8*x + 4*x^2 + 4*Log[2])]*Log[Log[5/(16 + 8*x + 4*x^2 + 4*Log[2])]]),x]","16 \log \left(2 x-\log \left(\log \left(\frac{5}{4 \left(x^2+2 x+4+\log (2)\right)}\right)\right)\right)","16 \log \left(2 x-\log \left(\log \left(\frac{5}{4 \left(x^2+2 x+4+\log (2)\right)}\right)\right)\right)",1,"16*Log[2*x - Log[Log[5/(4*(4 + 2*x + x^2 + Log[2]))]]]","A",1
8402,1,30,30,0.4117446,"\int \frac{1}{5} \left(10 x+e^{e^{\frac{1}{5} \left(10 x-2 e^{e^x} x-2 e^x x+2 x^2\right)}} \left(-5+e^{\frac{1}{5} \left(10 x-2 e^{e^x} x-2 e^x x+2 x^2\right)} \left(-10 x-4 x^2+e^x \left(2 x+2 x^2\right)+e^{e^x} \left(2 x+2 e^x x^2\right)\right)\right)\right) \, dx","Integrate[(10*x + E^E^((10*x - 2*E^E^x*x - 2*E^x*x + 2*x^2)/5)*(-5 + E^((10*x - 2*E^E^x*x - 2*E^x*x + 2*x^2)/5)*(-10*x - 4*x^2 + E^x*(2*x + 2*x^2) + E^E^x*(2*x + 2*E^x*x^2))))/5,x]","x \left(x-e^{e^{\frac{2}{5} x \left(x-e^{e^x}-e^x+5\right)}}\right)","x \left(x-e^{e^{\frac{2}{5} x \left(x-e^{e^x}-e^x+5\right)}}\right)",1,"x*(-E^E^((2*x*(5 - E^E^x - E^x + x))/5) + x)","A",1
8403,1,25,25,0.2632492,"\int \frac{8 e^x+e^{\frac{e^{x^2} x}{8}} \left(-8 e^x+e^{x^2} \left(-1-2 x^2\right)\right)}{-8+8 e^{\frac{e^{x^2} x}{8}}} \, dx","Integrate[(8*E^x + E^((E^x^2*x)/8)*(-8*E^x + E^x^2*(-1 - 2*x^2)))/(-8 + 8*E^((E^x^2*x)/8)),x]","-\log \left(1-e^{\frac{e^{x^2} x}{8}}\right)-e^x","-\log \left(4 e^{\frac{e^{x^2} x}{8}}-4\right)-e^x",1,"-E^x - Log[1 - E^((E^x^2*x)/8)]","A",1
8404,1,31,22,0.1861633,"\int \frac{50 x+25 x^2+\left(50 x+25 x^2\right) \log (x)+\left(90+60 x+10 x^2+(-30-10 x) \log (3+x)\right) \log (1+\log (x))+\left(10 x+5 x^2+\left(10 x+5 x^2\right) \log (x)\right) \log ^2(1+\log (x))}{6 x+2 x^2+\left(6 x+2 x^2\right) \log (x)} \, dx","Integrate[(50*x + 25*x^2 + (50*x + 25*x^2)*Log[x] + (90 + 60*x + 10*x^2 + (-30 - 10*x)*Log[3 + x])*Log[1 + Log[x]] + (10*x + 5*x^2 + (10*x + 5*x^2)*Log[x])*Log[1 + Log[x]]^2)/(6*x + 2*x^2 + (6*x + 2*x^2)*Log[x]),x]","\frac{5}{2} \left(5 x+(x-\log (x+3)+3) \log ^2(\log (x)+1)-5 \log (x+3)\right)","\frac{5}{2} (x-\log (x+3)+3) \left(\log ^2(\log (x)+1)+5\right)",1,"(5*(5*x - 5*Log[3 + x] + (3 + x - Log[3 + x])*Log[1 + Log[x]]^2))/2","A",1
8405,1,80,22,0.0755342,"\int \frac{\left(1-6 x^2\right) \log (2)+\log (2) \log (3)}{5+\left(1+x-2 x^3\right) \log (2)+x \log (2) \log (3)} \, dx","Integrate[((1 - 6*x^2)*Log[2] + Log[2]*Log[3])/(5 + (1 + x - 2*x^3)*Log[2] + x*Log[2]*Log[3]),x]","\log (2) \text{RootSum}\left[\text{$\#$1}^3 (-\log (4))+\text{$\#$1} \log (2) \log (3)+\text{$\#$1} \log (2)+5+\log (2)\&,\frac{-6 \text{$\#$1}^2 \log (x-\text{$\#$1})+\log (3) \log (x-\text{$\#$1})+\log (x-\text{$\#$1})}{-3 \text{$\#$1}^2 \log (4)+\log (2) \log (3)+\log (2)}\&\right]","\log \left(2 x^3-x-x \log (3)-1-\frac{5}{\log (2)}\right)",1,"Log[2]*RootSum[5 + Log[2] + Log[2]*#1 + Log[2]*Log[3]*#1 - Log[4]*#1^3 & , (Log[x - #1] + Log[3]*Log[x - #1] - 6*Log[x - #1]*#1^2)/(Log[2] + Log[2]*Log[3] - 3*Log[4]*#1^2) & ]","C",1
8406,1,37,22,0.5427178,"\int \frac{9 x^2+3 x^3+\left(-3 x^2+3 x^3\right) \log (-1+x)+e^{e^x x} \left(-25 x+\left(-25+25 x+e^x \left(25 x-25 x^3\right)\right) \log (-1+x)\right)}{-3 x^2+3 x^3} \, dx","Integrate[(9*x^2 + 3*x^3 + (-3*x^2 + 3*x^3)*Log[-1 + x] + E^(E^x*x)*(-25*x + (-25 + 25*x + E^x*(25*x - 25*x^3))*Log[-1 + x]))/(-3*x^2 + 3*x^3),x]","\frac{1}{3} \left(12 \log (1-x)+\frac{\left(3 (x-1) x-25 e^{e^x x}\right) \log (x-1)}{x}\right)","\left(x-\frac{25 e^{e^x x}}{3 x}+3\right) \log (x-1)",1,"(12*Log[1 - x] + ((-25*E^(E^x*x) + 3*(-1 + x)*x)*Log[-1 + x])/x)/3","A",1
8407,1,28,28,0.1514402,"\int \frac{-2 x^2+e^x \left(4 x-2 x^2\right)+e^{1+x} \left(e^x-x^2\right)}{5 e^{5+2 x} x^2+20 e^{4+x} x^3+20 e^3 x^4} \, dx","Integrate[(-2*x^2 + E^x*(4*x - 2*x^2) + E^(1 + x)*(E^x - x^2))/(5*E^(5 + 2*x)*x^2 + 20*E^(4 + x)*x^3 + 20*E^3*x^4),x]","\frac{x-e^x}{5 e^3 x \left(2 x+e^{x+1}\right)}","\frac{x-e^x}{5 e^3 x \left(2 x+e^{x+1}\right)}",1,"(-E^x + x)/(5*E^3*x*(E^(1 + x) + 2*x))","A",1
8408,1,36,20,0.0130536,"\int \frac{\left(-32 x+10 e^5 x-8 e^{15} x\right) \log (5)-2 e^5 \log ^2(5)}{e^5 x^3} \, dx","Integrate[((-32*x + 10*E^5*x - 8*E^15*x)*Log[5] - 2*E^5*Log[5]^2)/(E^5*x^3),x]","-\frac{2 \log (5) \left(\frac{-16+5 e^5-4 e^{15}}{x}-\frac{e^5 \log (5)}{2 x^2}\right)}{e^5}","\left(\frac{\log (5)}{x}+4 e^{10}+\frac{16}{e^5}-5\right)^2",1,"(-2*Log[5]*((-16 + 5*E^5 - 4*E^15)/x - (E^5*Log[5])/(2*x^2)))/E^5","A",1
8409,1,54,24,0.4503267,"\int \frac{-36 x^2-12 x^3-18 x^2 \log (5)+e^{80} x^{40} (492+240 x+246 \log (5))}{4+4 x+x^2+(4+2 x) \log (5)+\log ^2(5)} \, dx","Integrate[(-36*x^2 - 12*x^3 - 18*x^2*Log[5] + E^80*x^40*(492 + 240*x + 246*Log[5]))/(4 + 4*x + x^2 + (4 + 2*x)*Log[5] + Log[5]^2),x]","\frac{6 \left(e^{80} \left(x^{41}-x (2+\log (5))^{40}-(2+\log (5))^{41}\right)-x^3+x (2+\log (5))^2+(2+\log (5))^3\right)}{x+2+\log (5)}","\frac{6 x \left(e^{40 (\log (x)+2)}-x^2\right)}{x+2+\log (5)}",1,"(6*(-x^3 + x*(2 + Log[5])^2 + (2 + Log[5])^3 + E^80*(x^41 - x*(2 + Log[5])^40 - (2 + Log[5])^41)))/(2 + x + Log[5])","B",1
8410,1,17,17,0.2628259,"\int \frac{1}{16} e^{\frac{1}{4} \left(4 x-65 e^x x\right)} \left(12+12 x+e^x \left(-195 x-195 x^2\right)\right) \, dx","Integrate[(E^((4*x - 65*E^x*x)/4)*(12 + 12*x + E^x*(-195*x - 195*x^2)))/16,x]","\frac{3}{4} e^{x-\frac{65 e^x x}{4}} x","\frac{3}{4} e^{x-\frac{65 e^x x}{4}} x",1,"(3*E^(x - (65*E^x*x)/4)*x)/4","A",1
8411,1,25,19,0.082162,"\int \frac{1+(5-x) \log (5-x)+e^3 (-100+20 x) \log ^2(5-x)}{(5-x) \log (5-x)+e^3 (-100+20 x) \log ^2(5-x)} \, dx","Integrate[(1 + (5 - x)*Log[5 - x] + E^3*(-100 + 20*x)*Log[5 - x]^2)/((5 - x)*Log[5 - x] + E^3*(-100 + 20*x)*Log[5 - x]^2),x]","x-\log (\log (5-x))+\log \left(1-20 e^3 \log (5-x)\right)","x+\log \left(e^3-\frac{1}{20 \log (5-x)}\right)",1,"x - Log[Log[5 - x]] + Log[1 - 20*E^3*Log[5 - x]]","A",1
8412,1,465,25,0.2910353,"\int \frac{338 x^3-1066 x^4+1170 x^5-472 x^6+28 x^7+\left(-338 x+1170 x^2-1394 x^3+652 x^4-96 x^5+4 x^6\right) \log (2)}{-x^6+3 x^7-3 x^8+x^9+\left(-3 x^4+9 x^5-9 x^6+3 x^7\right) \log (2)+\left(-3 x^2+9 x^3-9 x^4+3 x^5\right) \log ^2(2)+\left(-1+3 x-3 x^2+x^3\right) \log ^3(2)} \, dx","Integrate[(338*x^3 - 1066*x^4 + 1170*x^5 - 472*x^6 + 28*x^7 + (-338*x + 1170*x^2 - 1394*x^3 + 652*x^4 - 96*x^5 + 4*x^6)*Log[2])/(-x^6 + 3*x^7 - 3*x^8 + x^9 + (-3*x^4 + 9*x^5 - 9*x^6 + 3*x^7)*Log[2] + (-3*x^2 + 9*x^3 - 9*x^4 + 3*x^5)*Log[2]^2 + (-1 + 3*x - 3*x^2 + x^3)*Log[2]^3),x]","-\frac{x^5 \left(88 \log ^6(2)+2 \log ^5(2) (53+6 \log (4))+9 \log ^4(2) (19 \log (4)-374)+\log ^3(2) (2019 \log (4)-7094)+\log ^2(2) (754+3771 \log (4))+\log (2) (3024-321 \log (4))-1512 \log (4)\right)+2 x^4 \left(2 \log ^6(2) (\log (4)-238)-2 \log ^5(2) (829+\log (16))-3 \log ^4(2) (53 \log (4)-346)+\log ^3(2) (5542-2011 \log (4))-\log ^2(2) (1142+3769 \log (4))+1512 \log (4)+\log (2) (321 \log (4)-3024)\right)+x^3 \left(24 \log ^7(2)+\log ^6(2) (1222-20 \log (4))+\log ^5(2) (137 \log (4)-448)+16 \log ^4(2) (206 \log (4)-437)+8 \log ^3(2) (1018 \log (4)-21)+34 \log ^2(2) (213+94 \log (4))+\log (2) (3024-2841 \log (4))-1512 \log (4)\right)+2 x^2 \log (2) \left(\log ^6(2) (28+\log (4))-8 \log ^5(2) (\log (4)-23)+\log ^4(2) (5306-247 \log (4))+\log ^3(2) (10494-3313 \log (4))-2 \log ^2(2) (1217+3126 \log (4))+2520 \log (4)+\log (2) (543 \log (4)-5378)\right)+x \log (2) \left(-4 \log ^6(2) (46+\log (4))+38 \log ^5(2) (\log (16)-71)+\log ^4(2) (1325 \log (4)-10778)+\log ^3(2) (5373 \log (4)-12266)+3 \log ^2(2) (890+2043 \log (4))-2520 \log (4)-15 \log (2) (89 \log (4)-336)\right)+2 \log ^2(2) \left(\log ^5(2) (52+\log (4))+\log ^4(2) (760-22 \log (4))+\log ^3(2) (1652-374 \log (4))-2 \log ^2(2) (80+411 \log (4))+360 \log (4)+9 \log (2) (9 \log (4)-80)\right)}{4 (x-1)^2 \log ^2(2) (1+\log (2))^4 \left(x^2+\log (2)\right)^2}","\frac{x^2 \left(-\frac{x}{x-1}+x-13\right)^2}{\left(x^2+\log (2)\right)^2}",1,"-1/4*(2*Log[2]^2*(Log[2]^3*(1652 - 374*Log[4]) + Log[2]^4*(760 - 22*Log[4]) + 360*Log[4] + Log[2]^5*(52 + Log[4]) + 9*Log[2]*(-80 + 9*Log[4]) - 2*Log[2]^2*(80 + 411*Log[4])) + x^3*(24*Log[2]^7 + Log[2]*(3024 - 2841*Log[4]) + Log[2]^6*(1222 - 20*Log[4]) - 1512*Log[4] + 34*Log[2]^2*(213 + 94*Log[4]) + Log[2]^5*(-448 + 137*Log[4]) + 16*Log[2]^4*(-437 + 206*Log[4]) + 8*Log[2]^3*(-21 + 1018*Log[4])) + 2*x^2*Log[2]*(Log[2]^3*(10494 - 3313*Log[4]) + Log[2]^4*(5306 - 247*Log[4]) - 8*Log[2]^5*(-23 + Log[4]) + 2520*Log[4] + Log[2]^6*(28 + Log[4]) + Log[2]*(-5378 + 543*Log[4]) - 2*Log[2]^2*(1217 + 3126*Log[4])) + x^5*(88*Log[2]^6 + Log[2]*(3024 - 321*Log[4]) - 1512*Log[4] + 2*Log[2]^5*(53 + 6*Log[4]) + 9*Log[2]^4*(-374 + 19*Log[4]) + Log[2]^3*(-7094 + 2019*Log[4]) + Log[2]^2*(754 + 3771*Log[4])) + x*Log[2]*(-2520*Log[4] - 4*Log[2]^6*(46 + Log[4]) - 15*Log[2]*(-336 + 89*Log[4]) + Log[2]^4*(-10778 + 1325*Log[4]) + 3*Log[2]^2*(890 + 2043*Log[4]) + Log[2]^3*(-12266 + 5373*Log[4]) + 38*Log[2]^5*(-71 + Log[16])) + 2*x^4*(Log[2]^3*(5542 - 2011*Log[4]) + 2*Log[2]^6*(-238 + Log[4]) + 1512*Log[4] - 3*Log[2]^4*(-346 + 53*Log[4]) + Log[2]*(-3024 + 321*Log[4]) - Log[2]^2*(1142 + 3769*Log[4]) - 2*Log[2]^5*(829 + Log[16])))/((-1 + x)^2*Log[2]^2*(1 + Log[2])^4*(x^2 + Log[2])^2)","B",0
8413,1,17,21,0.5680765,"\int \frac{e^{-2 x+\frac{48 e^{-2 x}}{-15 x^{16}+x^{17}}} \left(11520+624 x-96 x^2\right)}{225 x^{17}-30 x^{18}+x^{19}} \, dx","Integrate[(E^(-2*x + 48/(E^(2*x)*(-15*x^16 + x^17)))*(11520 + 624*x - 96*x^2))/(225*x^17 - 30*x^18 + x^19),x]","e^{\frac{48 e^{-2 x}}{(x-15) x^{16}}}","e^{\frac{16 e^{-2 x}}{\left(\frac{x}{3}-5\right) x^{16}}}",1,"E^(48/(E^(2*x)*(-15 + x)*x^16))","A",1
8414,1,26,29,0.252808,"\int \frac{3072+2432 x+268 x^2+8 x^3+e^{e^{x/4}} \left(-64+e^{x/4} \left(-16 x-x^2\right)\right)}{1024+128 x+4 x^2} \, dx","Integrate[(3072 + 2432*x + 268*x^2 + 8*x^3 + E^E^(x/4)*(-64 + E^(x/4)*(-16*x - x^2)))/(1024 + 128*x + 4*x^2),x]","\frac{x \left(x^2+19 x-e^{e^{x/4}}+48\right)}{x+16}","x^2-\frac{e^{e^{x/4}} x}{x+16}+3 x-e^4",1,"(x*(48 - E^E^(x/4) + 19*x + x^2))/(16 + x)","A",1
8415,1,14,14,0.1671054,"\int \frac{-2 x^4+3 x^5+4 x^6+\left(5 x^4+12 x^5\right) \log (x)+12 x^4 \log ^2(x)+4 x^3 \log ^3(x)}{x^3+3 x^2 \log (x)+3 x \log ^2(x)+\log ^3(x)} \, dx","Integrate[(-2*x^4 + 3*x^5 + 4*x^6 + (5*x^4 + 12*x^5)*Log[x] + 12*x^4*Log[x]^2 + 4*x^3*Log[x]^3)/(x^3 + 3*x^2*Log[x] + 3*x*Log[x]^2 + Log[x]^3),x]","\frac{x^5}{(x+\log (x))^2}+x^4","x^4 \left(\frac{x}{(x+\log (x))^2}+1\right)",1,"x^4 + x^5/(x + Log[x])^2","A",1
8416,1,32,21,0.2260736,"\int \frac{-12 e^4+e^{\frac{2 \left(15 \log (x)+3 \log ^2(x)\right)}{e^4}} \left(90-3 e^4+120 x+(36+48 x) \log (x)\right)}{e^4 x^2} \, dx","Integrate[(-12*E^4 + E^((2*(15*Log[x] + 3*Log[x]^2))/E^4)*(90 - 3*E^4 + 120*x + (36 + 48*x)*Log[x]))/(E^4*x^2),x]","(4 x+3) x^{\frac{30}{e^4}-1} e^{\frac{6 \log ^2(x)}{e^4}}+\frac{12}{x}","\left(\frac{3}{x}+4\right) \left(x^{\frac{6 (\log (x)+5)}{e^4}}+4\right)",1,"12/x + E^((6*Log[x]^2)/E^4)*x^(-1 + 30/E^4)*(3 + 4*x)","A",1
8417,1,23,34,0.1590753,"\int \frac{-135-180 x-9 x^2-12 x^3-4 x^4+e^x \left(9 x^2+21 x^3+16 x^4+4 x^5\right)}{9 x^2+12 x^3+4 x^4} \, dx","Integrate[(-135 - 180*x - 9*x^2 - 12*x^3 - 4*x^4 + E^x*(9*x^2 + 21*x^3 + 16*x^4 + 4*x^5))/(9*x^2 + 12*x^3 + 4*x^4),x]","e^x x-x-\frac{30}{2 x+3}+\frac{15}{x}","x^2+\left(-x+e^x-1\right) x+5 \left(\frac{3}{x}+\frac{4}{\frac{3}{x}+2}+2\right)",1,"15/x - x + E^x*x - 30/(3 + 2*x)","A",1
8418,1,22,24,0.0320338,"\int \frac{e^{-\frac{3600-2280 x+361 x^2}{400 \log ^2(x)}} \left(3600-2280 x+361 x^2+\left(1140 x-361 x^2\right) \log (x)+200 \log ^2(x)+200 \log ^3(x)\right)}{100 \log ^2(x)} \, dx","Integrate[(3600 - 2280*x + 361*x^2 + (1140*x - 361*x^2)*Log[x] + 200*Log[x]^2 + 200*Log[x]^3)/(100*E^((3600 - 2280*x + 361*x^2)/(400*Log[x]^2))*Log[x]^2),x]","2 x e^{-\frac{(60-19 x)^2}{400 \log ^2(x)}} \log (x)","2 x e^{-\frac{\left(3-\frac{19 x}{20}\right)^2}{\log ^2(x)}} \log (x)-5",1,"(2*x*Log[x])/E^((60 - 19*x)^2/(400*Log[x]^2))","A",1
8419,1,25,24,0.2307633,"\int \frac{e^{x^2} x+5 x^2+e^{\frac{1-x^4}{x^2}} x^2+\left(5 x^2+2 e^{x^2} x^3+e^{\frac{1-x^4}{x^2}} \left(-2+x^2-2 x^4\right)\right) \log (x)}{x^2} \, dx","Integrate[(E^x^2*x + 5*x^2 + E^((1 - x^4)/x^2)*x^2 + (5*x^2 + 2*E^x^2*x^3 + E^((1 - x^4)/x^2)*(-2 + x^2 - 2*x^4))*Log[x])/x^2,x]","\left(e^{\frac{1}{x^2}-x^2} x+e^{x^2}+5 x\right) \log (x)","\left(\left(e^{\frac{1}{x^2}-x^2}+5\right) x+e^{x^2}\right) \log (x)",1,"(E^x^2 + 5*x + E^(x^(-2) - x^2)*x)*Log[x]","A",1
8420,0,0,23,4.8373801,"\int \left(2 x+5^{\exp \left(4+\exp \left(1-8 x+16 x^2+(-2+8 x) \log (100)+\log ^2(100)\right)\right)} \exp \left(5+\exp \left(1-8 x+16 x^2+(-2+8 x) \log (100)+\log ^2(100)\right)-8 x+16 x^2+(-2+8 x) \log (100)+\log ^2(100)\right) ((8-32 x) \log (5)-8 \log (5) \log (100))\right) \, dx","Integrate[2*x + 5^E^(4 + E^(1 - 8*x + 16*x^2 + (-2 + 8*x)*Log[100] + Log[100]^2))*E^(5 + E^(1 - 8*x + 16*x^2 + (-2 + 8*x)*Log[100] + Log[100]^2) - 8*x + 16*x^2 + (-2 + 8*x)*Log[100] + Log[100]^2)*((8 - 32*x)*Log[5] - 8*Log[5]*Log[100]),x]","\int \left(2 x+5^{\exp \left(4+\exp \left(1-8 x+16 x^2+(-2+8 x) \log (100)+\log ^2(100)\right)\right)} \exp \left(5+\exp \left(1-8 x+16 x^2+(-2+8 x) \log (100)+\log ^2(100)\right)-8 x+16 x^2+(-2+8 x) \log (100)+\log ^2(100)\right) ((8-32 x) \log (5)-8 \log (5) \log (100))\right) \, dx","x^2-5^{e^{e^{(4 x-1+\log (100))^2}+4}}",1,"Integrate[2*x + 5^E^(4 + E^(1 - 8*x + 16*x^2 + (-2 + 8*x)*Log[100] + Log[100]^2))*E^(5 + E^(1 - 8*x + 16*x^2 + (-2 + 8*x)*Log[100] + Log[100]^2) - 8*x + 16*x^2 + (-2 + 8*x)*Log[100] + Log[100]^2)*((8 - 32*x)*Log[5] - 8*Log[5]*Log[100]), x]","F",-1
8421,1,27,28,0.9596753,"\int \frac{25 x+15 x^2+e^{5/x} \left(-500+175 x-30 x^2\right)+e^x \left(x-4 x^2\right)}{9765625 x+e^{5 x} x-9765625 x^2+3906250 x^3-781250 x^4+78125 x^5-3125 x^6+e^{20/x} \left(48828125 x-87890625 x^2+62500000 x^3-21875000 x^4+3750000 x^5-250000 x^6\right)+e^{10/x} \left(97656250 x-136718750 x^2+74218750 x^3-19531250 x^4+2500000 x^5-125000 x^6\right)+e^{5/x} \left(-48828125 x+58593750 x^2-27343750 x^3+6250000 x^4-703125 x^5+31250 x^6\right)+e^{25/x} \left(-9765625 x+19531250 x^2-15625000 x^3+6250000 x^4-1250000 x^5+100000 x^6\right)+e^{15/x} \left(-97656250 x+156250000 x^2-97656250 x^3+29687500 x^4-4375000 x^5+250000 x^6\right)+e^{4 x} \left(125 x-25 x^2+e^{5/x} \left(-125 x+50 x^2\right)\right)+e^{3 x} \left(6250 x-2500 x^2+250 x^3+e^{5/x} \left(-12500 x+7500 x^2-1000 x^3\right)+e^{10/x} \left(6250 x-5000 x^2+1000 x^3\right)\right)+e^{2 x} \left(156250 x-93750 x^2+18750 x^3-1250 x^4+e^{10/x} \left(468750 x-468750 x^2+150000 x^3-15000 x^4\right)+e^{5/x} \left(-468750 x+375000 x^2-93750 x^3+7500 x^4\right)+e^{15/x} \left(-156250 x+187500 x^2-75000 x^3+10000 x^4\right)\right)+e^x \left(1953125 x-1562500 x^2+468750 x^3-62500 x^4+3125 x^5+e^{15/x} \left(-7812500 x+10937500 x^2-5625000 x^3+1250000 x^4-100000 x^5\right)+e^{5/x} \left(-7812500 x+7812500 x^2-2812500 x^3+437500 x^4-25000 x^5\right)+e^{20/x} \left(1953125 x-3125000 x^2+1875000 x^3-500000 x^4+50000 x^5\right)+e^{10/x} \left(11718750 x-14062500 x^2+6093750 x^3-1125000 x^4+75000 x^5\right)\right)} \, dx","Integrate[(25*x + 15*x^2 + E^(5/x)*(-500 + 175*x - 30*x^2) + E^x*(x - 4*x^2))/(9765625*x + E^(5*x)*x - 9765625*x^2 + 3906250*x^3 - 781250*x^4 + 78125*x^5 - 3125*x^6 + E^(20/x)*(48828125*x - 87890625*x^2 + 62500000*x^3 - 21875000*x^4 + 3750000*x^5 - 250000*x^6) + E^(10/x)*(97656250*x - 136718750*x^2 + 74218750*x^3 - 19531250*x^4 + 2500000*x^5 - 125000*x^6) + E^(5/x)*(-48828125*x + 58593750*x^2 - 27343750*x^3 + 6250000*x^4 - 703125*x^5 + 31250*x^6) + E^(25/x)*(-9765625*x + 19531250*x^2 - 15625000*x^3 + 6250000*x^4 - 1250000*x^5 + 100000*x^6) + E^(15/x)*(-97656250*x + 156250000*x^2 - 97656250*x^3 + 29687500*x^4 - 4375000*x^5 + 250000*x^6) + E^(4*x)*(125*x - 25*x^2 + E^(5/x)*(-125*x + 50*x^2)) + E^(3*x)*(6250*x - 2500*x^2 + 250*x^3 + E^(5/x)*(-12500*x + 7500*x^2 - 1000*x^3) + E^(10/x)*(6250*x - 5000*x^2 + 1000*x^3)) + E^(2*x)*(156250*x - 93750*x^2 + 18750*x^3 - 1250*x^4 + E^(10/x)*(468750*x - 468750*x^2 + 150000*x^3 - 15000*x^4) + E^(5/x)*(-468750*x + 375000*x^2 - 93750*x^3 + 7500*x^4) + E^(15/x)*(-156250*x + 187500*x^2 - 75000*x^3 + 10000*x^4)) + E^x*(1953125*x - 1562500*x^2 + 468750*x^3 - 62500*x^4 + 3125*x^5 + E^(15/x)*(-7812500*x + 10937500*x^2 - 5625000*x^3 + 1250000*x^4 - 100000*x^5) + E^(5/x)*(-7812500*x + 7812500*x^2 - 2812500*x^3 + 437500*x^4 - 25000*x^5) + E^(20/x)*(1953125*x - 3125000*x^2 + 1875000*x^3 - 500000*x^4 + 50000*x^5) + E^(10/x)*(11718750*x - 14062500*x^2 + 6093750*x^3 - 1125000*x^4 + 75000*x^5))),x]","\frac{x}{\left(-5 (x-5)+e^x+5 e^{5/x} (2 x-5)\right)^4}","\frac{x}{\left(5 \left(-x+e^{5/x} (2 x-5)+5\right)+e^x\right)^4}",1,"x/(E^x - 5*(-5 + x) + 5*E^(5/x)*(-5 + 2*x))^4","A",1
8422,1,33,27,0.0437264,"\int \frac{e^{2 e^4} \left(512 x-1024 x^2+768 x^3-256 x^4+32 x^5+e^8 \left(-4+x^2\right)\right)}{e^{16} x^2+4096 x^4-8192 x^5+6144 x^6-2048 x^7+256 x^8+e^8 \left(-128 x^3+128 x^4-32 x^5\right)} \, dx","Integrate[(E^(2*E^4)*(512*x - 1024*x^2 + 768*x^3 - 256*x^4 + 32*x^5 + E^8*(-4 + x^2)))/(E^16*x^2 + 4096*x^4 - 8192*x^5 + 6144*x^6 - 2048*x^7 + 256*x^8 + E^8*(-128*x^3 + 128*x^4 - 32*x^5)),x]","-\frac{e^{2 e^4} (x-2)^2}{x \left(16 (x-2)^2 x-e^8\right)}","\frac{e^{2 e^4}}{\left(\frac{e^8}{(x-2)^2 x}-16\right) x^2}",1,"-((E^(2*E^4)*(-2 + x)^2)/(x*(-E^8 + 16*(-2 + x)^2*x)))","A",1
8423,1,30,30,0.795321,"\int \frac{e^5 (4-2 x)+5 x^2+e^{x^2} \left(-10 x^3+e^5 \left(1+2 x^2\right)\right)-e^5 (i \pi +\log (25))}{16 x^2+e^{2 x^2} x^2-8 x^3+x^4+\left(-8 x^2+2 x^3\right) (i \pi +\log (25))+x^2 (i \pi +\log (25))^2+e^{x^2} \left(8 x^2-2 x^3-2 x^2 (i \pi +\log (25))\right)} \, dx","Integrate[(E^5*(4 - 2*x) + 5*x^2 + E^x^2*(-10*x^3 + E^5*(1 + 2*x^2)) - E^5*(I*Pi + Log[25]))/(16*x^2 + E^(2*x^2)*x^2 - 8*x^3 + x^4 + (-8*x^2 + 2*x^3)*(I*Pi + Log[25]) + x^2*(I*Pi + Log[25])^2 + E^x^2*(8*x^2 - 2*x^3 - 2*x^2*(I*Pi + Log[25]))),x]","\frac{e^5-5 x}{x \left(-e^{x^2}+x+i \pi -4+\log (25)\right)}","\frac{e^5-5 x}{x \left(-e^{x^2}+x+i \pi -4+\log (25)\right)}",1,"(E^5 - 5*x)/(x*(-4 - E^x^2 + I*Pi + x + Log[25]))","A",1
8424,1,26,24,0.0025054,"\int \frac{1+10 x-380 x^2+93 x^3-2944 x^4-1280 x^5}{x} \, dx","Integrate[(1 + 10*x - 380*x^2 + 93*x^3 - 2944*x^4 - 1280*x^5)/x,x]","-256 x^5-736 x^4+31 x^3-190 x^2+10 x+\log (x)","(x+3) \left(x-\left(-16 x^2+x-2\right)^2\right)-x+\log (x)",1,"10*x - 190*x^2 + 31*x^3 - 736*x^4 - 256*x^5 + Log[x]","A",1
8425,1,49,24,1.4284853,"\int \frac{4 e^2+e (-16-16 x)+28 x+16 x^2+\left(4 e^2-8 e x\right) \log (x)}{18 x+e^2 x+14 x^2+4 x^3+e \left(-8 x-4 x^2\right)+\left(2 e^2 x+e \left(-8 x-4 x^2\right)\right) \log (x)+e^2 x \log ^2(x)} \, dx","Integrate[(4*E^2 + E*(-16 - 16*x) + 28*x + 16*x^2 + (4*E^2 - 8*E*x)*Log[x])/(18*x + E^2*x + 14*x^2 + 4*x^3 + E*(-8*x - 4*x^2) + (2*E^2*x + E*(-8*x - 4*x^2))*Log[x] + E^2*x*Log[x]^2),x]","2 \log \left(4 x^2-4 e x+14 x+e^2 \log ^2(x)-4 e x \log (x)+2 e^2 \log (x)-8 e \log (x)+e^2-8 e+18\right)","\log \left(\left(2 x-(2 x-e (\log (x)+1)+4)^2-2\right)^2\right)",1,"2*Log[18 - 8*E + E^2 + 14*x - 4*E*x + 4*x^2 - 8*E*Log[x] + 2*E^2*Log[x] - 4*E*x*Log[x] + E^2*Log[x]^2]","B",1
8426,1,21,20,0.0030559,"\int \left(24 x-12 e^4 x+\left(4 x-2 e^4 x\right) \log (25)+e^e \left(-12+6 e^4+\left(-2+e^4\right) \log (25)\right)\right) \, dx","Integrate[24*x - 12*E^4*x + (4*x - 2*E^4*x)*Log[25] + E^E*(-12 + 6*E^4 + (-2 + E^4)*Log[25]),x]","\left(e^4-2\right) \left(e^e x-x^2\right) (6+\log (25))","\left(2-e^4\right) x \left(x-e^e\right) (6+\log (25))",1,"(-2 + E^4)*(E^E*x - x^2)*(6 + Log[25])","A",1
8427,1,35,35,0.3644107,"\int \frac{\left(2 e^{e^x+x} x^4+12 x^5+\left(-12 x^5+6 x^6+e^{e^x} \left(-4 x^3+2 x^4\right)\right) \log \left(\frac{1}{3} \left(e^{e^x}+3 x^2\right)\right) \log \left(\log \left(\frac{1}{3} \left(e^{e^x}+3 x^2\right)\right)\right)\right) \log \left(\frac{e^{-x} \left(x^2-5 e^x \log \left(\log \left(\frac{1}{3} \left(e^{e^x}+3 x^2\right)\right)\right)\right)}{\log \left(\log \left(\frac{1}{3} \left(e^{e^x}+3 x^2\right)\right)\right)}\right)+\left(\left(-2 e^{e^x} x^3-6 x^5\right) \log \left(\frac{1}{3} \left(e^{e^x}+3 x^2\right)\right) \log \left(\log \left(\frac{1}{3} \left(e^{e^x}+3 x^2\right)\right)\right)+\left(10 e^{e^x+x} x+30 e^x x^3\right) \log \left(\frac{1}{3} \left(e^{e^x}+3 x^2\right)\right) \log ^2\left(\log \left(\frac{1}{3} \left(e^{e^x}+3 x^2\right)\right)\right)\right) \log ^2\left(\frac{e^{-x} \left(x^2-5 e^x \log \left(\log \left(\frac{1}{3} \left(e^{e^x}+3 x^2\right)\right)\right)\right)}{\log \left(\log \left(\frac{1}{3} \left(e^{e^x}+3 x^2\right)\right)\right)}\right)}{\left(-e^{e^x} x^2-3 x^4\right) \log \left(\frac{1}{3} \left(e^{e^x}+3 x^2\right)\right) \log \left(\log \left(\frac{1}{3} \left(e^{e^x}+3 x^2\right)\right)\right)+\left(5 e^{e^x+x}+15 e^x x^2\right) \log \left(\frac{1}{3} \left(e^{e^x}+3 x^2\right)\right) \log ^2\left(\log \left(\frac{1}{3} \left(e^{e^x}+3 x^2\right)\right)\right)} \, dx","Integrate[((2*E^(E^x + x)*x^4 + 12*x^5 + (-12*x^5 + 6*x^6 + E^E^x*(-4*x^3 + 2*x^4))*Log[(E^E^x + 3*x^2)/3]*Log[Log[(E^E^x + 3*x^2)/3]])*Log[(x^2 - 5*E^x*Log[Log[(E^E^x + 3*x^2)/3]])/(E^x*Log[Log[(E^E^x + 3*x^2)/3]])] + ((-2*E^E^x*x^3 - 6*x^5)*Log[(E^E^x + 3*x^2)/3]*Log[Log[(E^E^x + 3*x^2)/3]] + (10*E^(E^x + x)*x + 30*E^x*x^3)*Log[(E^E^x + 3*x^2)/3]*Log[Log[(E^E^x + 3*x^2)/3]]^2)*Log[(x^2 - 5*E^x*Log[Log[(E^E^x + 3*x^2)/3]])/(E^x*Log[Log[(E^E^x + 3*x^2)/3]])]^2)/((-(E^E^x*x^2) - 3*x^4)*Log[(E^E^x + 3*x^2)/3]*Log[Log[(E^E^x + 3*x^2)/3]] + (5*E^(E^x + x) + 15*E^x*x^2)*Log[(E^E^x + 3*x^2)/3]*Log[Log[(E^E^x + 3*x^2)/3]]^2),x]","x^2 \log ^2\left(\frac{e^{-x} x^2}{\log \left(\log \left(x^2+\frac{e^{e^x}}{3}\right)\right)}-5\right)","x^2 \log ^2\left(\frac{e^{-x} x^2}{\log \left(\log \left(x^2+\frac{e^{e^x}}{3}\right)\right)}-5\right)",1,"x^2*Log[-5 + x^2/(E^x*Log[Log[E^E^x/3 + x^2]])]^2","A",1
8428,1,25,30,0.2588323,"\int \frac{e^{\frac{2 e^{4 x^2}-21 x-x^2}{6 x}} \left(-x^2+e^{4 x^2} \left(-2+16 x^2\right)\right)}{6 x^2} \, dx","Integrate[(E^((2*E^(4*x^2) - 21*x - x^2)/(6*x))*(-x^2 + E^(4*x^2)*(-2 + 16*x^2)))/(6*x^2),x]","e^{\frac{e^{4 x^2}}{3 x}-\frac{x}{6}-\frac{7}{2}}","e^{\frac{1}{3} \left(\frac{e^{4 x^2}}{x}+x-12\right)+\frac{1-x}{2}}",1,"E^(-7/2 + E^(4*x^2)/(3*x) - x/6)","A",1
8429,1,29,29,0.8018758,"\int \frac{e^{\frac{-27+108 x-12 x^3-16 x^5}{27 x+9 x^3}} \left(81-81 x+81 x^2-342 x^3-201 x^5-32 x^7\right)}{81 x^3+54 x^5+9 x^7} \, dx","Integrate[(E^((-27 + 108*x - 12*x^3 - 16*x^5)/(27*x + 9*x^3))*(81 - 81*x + 81*x^2 - 342*x^3 - 201*x^5 - 32*x^7))/(81*x^3 + 54*x^5 + 9*x^7),x]","\frac{e^{-\frac{16 x^2}{9}+\frac{x}{x^2+3}-\frac{1}{x}+4}}{x}","\frac{e^{-\frac{16 x^2}{9}+\frac{x}{x^2+3}-\frac{1}{x}+4}}{x}",1,"E^(4 - x^(-1) - (16*x^2)/9 + x/(3 + x^2))/x","A",1
8430,1,19,19,0.0261419,"\int \frac{-27+e^{\frac{1}{3} \left(9-42 x+49 x^2\right)} \left(-42 x^2+98 x^3\right)}{3 x^2} \, dx","Integrate[(-27 + E^((9 - 42*x + 49*x^2)/3)*(-42*x^2 + 98*x^3))/(3*x^2),x]","e^{\frac{1}{3} (3-7 x)^2}+\frac{9}{x}","e^{\frac{1}{3} (3-7 x)^2}+\frac{9}{x}",1,"E^((3 - 7*x)^2/3) + 9/x","A",1
8431,1,65,26,5.1245975,"\int \frac{e^{2 x} \left(-2+2 e^5\right)+e^{2 e^5 x} \left(8 e^{8 x}+2 x+e^{4 x} (2+8 x)\right)}{-e^{2 x}+e^{2 e^5 x} \left(-4+e^{8 x}+2 e^{4 x} x+x^2\right)} \, dx","Integrate[(E^(2*x)*(-2 + 2*E^5) + E^(2*E^5*x)*(8*E^(8*x) + 2*x + E^(4*x)*(2 + 8*x)))/(-E^(2*x) + E^(2*E^5*x)*(-4 + E^(8*x) + 2*E^(4*x)*x + x^2)),x]","\log \left(e^{2 e^5 x} x^2+2 e^{2 e^5 x+4 x} x-e^{2 x}-4 e^{2 e^5 x}+e^{2 e^5 x+8 x}\right)-2 e^5 x","\log \left(\left(x+e^{4 x}\right)^2-e^{2 x-2 e^5 x}-4\right)",1,"-2*E^5*x + Log[-E^(2*x) - 4*E^(2*E^5*x) + E^(8*x + 2*E^5*x) + 2*E^(4*x + 2*E^5*x)*x + E^(2*E^5*x)*x^2]","B",1
8432,1,41,23,0.0996413,"\int \frac{6+32 x^2+\left(-3+581 x+194 x^2+3072 x^3+1024 x^4\right) \log (3+x)+\left(2+\left(192 x+64 x^2\right) \log (3+x)\right) \log (\log (3+x))}{(3+x) \log (3+x)} \, dx","Integrate[(6 + 32*x^2 + (-3 + 581*x + 194*x^2 + 3072*x^3 + 1024*x^4)*Log[3 + x] + (2 + (192*x + 64*x^2)*Log[3 + x])*Log[Log[3 + x]])/((3 + x)*Log[3 + x]),x]","256 x^4+97 x^2-x+\log ^2(\log (x+3))+32 (x-3) (x+3) \log (\log (x+3))+294 \log (\log (x+3))","x^2+\left(-16 x^2-\log (\log (x+3))-3\right)^2-x",1,"-x + 97*x^2 + 256*x^4 + 294*Log[Log[3 + x]] + 32*(-3 + x)*(3 + x)*Log[Log[3 + x]] + Log[Log[3 + x]]^2","A",1
8433,1,19,22,0.2801348,"\int \frac{e^{-3 x} \left(36+72 x-2 e^{3 x} x^2+(24+36 x) \log (x)\right)}{x^3} \, dx","Integrate[(36 + 72*x - 2*E^(3*x)*x^2 + (24 + 36*x)*Log[x])/(E^(3*x)*x^3),x]","-\frac{12 e^{-3 x} (\log (x)+2)}{x^2}-2 \log (x)","-\frac{12 e^{-3 x} (\log (x)+2)}{x^2}-\log \left(x^2\right)+4",1,"-2*Log[x] - (12*(2 + Log[x]))/(E^(3*x)*x^2)","A",1
8434,1,24,23,0.0063528,"\int \frac{-5-i \pi -\log (4)}{x^2+e^{5+e^5} x^2} \, dx","Integrate[(-5 - I*Pi - Log[4])/(x^2 + E^(5 + E^5)*x^2),x]","\frac{5+i \pi +\log (4)}{\left(1+e^{5+e^5}\right) x}","\frac{5+i \pi +\log (4)}{e^{5+e^5} x+x}",1,"(5 + I*Pi + Log[4])/((1 + E^(5 + E^5))*x)","A",1
8435,1,24,24,0.0753693,"\int \frac{75+90 x+3 x^2+\left(120 x-24 x^2+\left(75-30 x+3 x^2\right) \log \left(\frac{x}{e}\right)\right) \log \left(\frac{-8 x+(-5+x) \log \left(\frac{x}{e}\right)}{-5+x}\right) \log \left(-\log \left(\frac{-8 x+(-5+x) \log \left(\frac{x}{e}\right)}{-5+x}\right)\right)}{\left(40 x-8 x^2+\left(25-10 x+x^2\right) \log \left(\frac{x}{e}\right)\right) \log \left(\frac{-8 x+(-5+x) \log \left(\frac{x}{e}\right)}{-5+x}\right)} \, dx","Integrate[(75 + 90*x + 3*x^2 + (120*x - 24*x^2 + (75 - 30*x + 3*x^2)*Log[x/E])*Log[(-8*x + (-5 + x)*Log[x/E])/(-5 + x)]*Log[-Log[(-8*x + (-5 + x)*Log[x/E])/(-5 + x)]])/((40*x - 8*x^2 + (25 - 10*x + x^2)*Log[x/E])*Log[(-8*x + (-5 + x)*Log[x/E])/(-5 + x)]),x]","3 x \log \left(-\log \left(\frac{-9 x+(x-5) \log (x)+5}{x-5}\right)\right)","3 x \log \left(-\log \left(\frac{8 x}{5-x}+\log \left(\frac{x}{e}\right)\right)\right)",1,"3*x*Log[-Log[(5 - 9*x + (-5 + x)*Log[x])/(-5 + x)]]","A",1
8436,1,29,26,0.026024,"\int \frac{-4-4 x+2 e x+\left(-400 x^3-400 x^4+200 e x^4\right) \log \left(x^2\right)+\left(-400 x^3-500 x^4+250 e x^4\right) \log ^2\left(x^2\right)+\left(-10000 x^7+5000 e x^7\right) \log ^3\left(x^2\right)+\left(-10000 x^7+5000 e x^7\right) \log ^4\left(x^2\right)}{-2+e} \, dx","Integrate[(-4 - 4*x + 2*E*x + (-400*x^3 - 400*x^4 + 200*E*x^4)*Log[x^2] + (-400*x^3 - 500*x^4 + 250*E*x^4)*Log[x^2]^2 + (-10000*x^7 + 5000*E*x^7)*Log[x^2]^3 + (-10000*x^7 + 5000*E*x^7)*Log[x^2]^4)/(-2 + E),x]","\frac{\left(25 (e-2) x^4 \log ^2\left(x^2\right)+(e-2) x-2\right)^2}{(e-2)^2}","\left(25 x^4 \log ^2\left(x^2\right)+x+\frac{2}{2-e}\right)^2-2",1,"(-2 + (-2 + E)*x + 25*(-2 + E)*x^4*Log[x^2]^2)^2/(-2 + E)^2","A",1
8437,1,9,11,0.0000722,"\int (7-6 \log (4)) \, dx","Integrate[7 - 6*Log[4],x]","7 x-6 x \log (4)","x+6 (x-x \log (4))",1,"7*x - 6*x*Log[4]","A",1
8438,1,29,20,0.1051273,"\int \frac{\exp \left(-2 x \log \left(\frac{x}{3+x}\right)+x^2 \log (-3+x) \log \left(\frac{x}{3+x}\right)\right) \left(-9+18 x-5 x^2+\left(18 x+x^3+x^4\right) \log \left(\frac{x}{3+x}\right)+\log (-3+x) \left(-9 x^2+3 x^3+\left(-18 x^2+2 x^4\right) \log \left(\frac{x}{3+x}\right)\right)\right)}{-9+x^2} \, dx","Integrate[(E^(-2*x*Log[x/(3 + x)] + x^2*Log[-3 + x]*Log[x/(3 + x)])*(-9 + 18*x - 5*x^2 + (18*x + x^3 + x^4)*Log[x/(3 + x)] + Log[-3 + x]*(-9*x^2 + 3*x^3 + (-18*x^2 + 2*x^4)*Log[x/(3 + x)])))/(-9 + x^2),x]","x \left(\frac{x}{x+3}\right)^{-2 x} (x-3)^{x^2 \log \left(\frac{x}{x+3}\right)}","x \left(\frac{x}{x+3}\right)^{x (x \log (x-3)-2)}",1,"((-3 + x)^(x^2*Log[x/(3 + x)])*x)/(x/(3 + x))^(2*x)","A",1
8439,1,82,32,0.1311216,"\int \frac{-8-11 x^2-32 x^3-3 x^4+e^{2 x} \left(8-16 x-33 x^2-2 x^3\right)+\left(32 x^2+4 x^3\right) \log (2)+\left(8-x^2\right) \log ^2(2)+e^x \left(48 x^2+36 x^3+2 x^4+\left(16-16 x-34 x^2-2 x^3\right) \log (2)\right)}{4 x^2} \, dx","Integrate[(-8 - 11*x^2 - 32*x^3 - 3*x^4 + E^(2*x)*(8 - 16*x - 33*x^2 - 2*x^3) + (32*x^2 + 4*x^3)*Log[2] + (8 - x^2)*Log[2]^2 + E^x*(48*x^2 + 36*x^3 + 2*x^4 + (16 - 16*x - 34*x^2 - 2*x^3)*Log[2]))/(4*x^2),x]","-\frac{x^4-x^3 (\log (4)-16)+e^{2 x} \left(x^2+16 x+8\right)+x^2 \left(11+\log ^2(2)-\log (4294967296)\right)+e^x \left(-2 x^3+x^2 (\log (4)-32)+x (\log (4294967296)-16)+\log (65536)\right)+8 \left(\log ^2(2)-1\right)}{4 x}","-x-\left(\frac{x}{4}+\frac{2}{x}+4\right) \left(\left(-x+e^x+\log (2)\right)^2-1\right)-5",1,"-1/4*(x^4 + E^(2*x)*(8 + 16*x + x^2) + 8*(-1 + Log[2]^2) - x^3*(-16 + Log[4]) + E^x*(-2*x^3 + x^2*(-32 + Log[4]) + Log[65536] + x*(-16 + Log[4294967296])) + x^2*(11 + Log[2]^2 - Log[4294967296]))/x","B",1
8440,0,0,30,0.4650517,"\int \frac{-3 x+3 x^3+\left(-x+x^2\right) \log (3)+e^x \left(1+x-3 x^2+x^3\right) \log (3)+\left(3 x-e^x x \log (3)+\left(x-2 x^2\right) \log (3)\right) \log (x)}{-3 x^3+3 x^4+e^x \left(x^2-x^3\right) \log (3)+\left(-3 x^2+e^x x \log (3)+\left(x^2-x^3\right) \log (3)\right) \log (x)+x \log (3) \log ^2(x)} \, dx","Integrate[(-3*x + 3*x^3 + (-x + x^2)*Log[3] + E^x*(1 + x - 3*x^2 + x^3)*Log[3] + (3*x - E^x*x*Log[3] + (x - 2*x^2)*Log[3])*Log[x])/(-3*x^3 + 3*x^4 + E^x*(x^2 - x^3)*Log[3] + (-3*x^2 + E^x*x*Log[3] + (x^2 - x^3)*Log[3])*Log[x] + x*Log[3]*Log[x]^2),x]","\int \frac{-3 x+3 x^3+\left(-x+x^2\right) \log (3)+e^x \left(1+x-3 x^2+x^3\right) \log (3)+\left(3 x-e^x x \log (3)+\left(x-2 x^2\right) \log (3)\right) \log (x)}{-3 x^3+3 x^4+e^x \left(x^2-x^3\right) \log (3)+\left(-3 x^2+e^x x \log (3)+\left(x^2-x^3\right) \log (3)\right) \log (x)+x \log (3) \log ^2(x)} \, dx","\log \left(\frac{-x^2+x+\log (x)}{-e^x+\frac{3 x}{\log (3)}-\log (x)}\right)",1,"Integrate[(-3*x + 3*x^3 + (-x + x^2)*Log[3] + E^x*(1 + x - 3*x^2 + x^3)*Log[3] + (3*x - E^x*x*Log[3] + (x - 2*x^2)*Log[3])*Log[x])/(-3*x^3 + 3*x^4 + E^x*(x^2 - x^3)*Log[3] + (-3*x^2 + E^x*x*Log[3] + (x^2 - x^3)*Log[3])*Log[x] + x*Log[3]*Log[x]^2), x]","F",-1
8441,1,57,35,0.1763535,"\int \frac{15-45 x+45 x^2-15 x^3+\left(600 x+210 x^2-162 x^3-6 x^4+6 x^5+e^{2 x} \left(96 x-216 x^2+48 x^3+192 x^4-144 x^5+24 x^6\right)\right) \log ^2(-4+x)}{\left(4-13 x+15 x^2-7 x^3+x^4\right) \log ^2(-4+x)} \, dx","Integrate[(15 - 45*x + 45*x^2 - 15*x^3 + (600*x + 210*x^2 - 162*x^3 - 6*x^4 + 6*x^5 + E^(2*x)*(96*x - 216*x^2 + 48*x^3 + 192*x^4 - 144*x^5 + 24*x^6))*Log[-4 + x]^2)/((4 - 13*x + 15*x^2 - 7*x^3 + x^4)*Log[-4 + x]^2),x]","12 e^{2 x} x^2+\frac{75 x^2}{(1-x)^2}+3 x^2+36 x-\frac{102}{1-x}+\frac{33}{(1-x)^2}+\frac{15}{\log (x-4)}","3 \left(4 e^{2 x} x^2+\frac{(x+5)^2 x^2}{(x-1)^2}+\frac{5}{\log (x-4)}\right)",1,"33/(1 - x)^2 - 102/(1 - x) + 36*x + 3*x^2 + 12*E^(2*x)*x^2 + (75*x^2)/(1 - x)^2 + 15/Log[-4 + x]","A",1
8442,1,19,22,0.0047289,"\int \frac{1}{9} e^{2-2 x} \left(6 \log ^2(4)-2 \log ^2(4) \log (5)\right) \, dx","Integrate[(E^(2 - 2*x)*(6*Log[4]^2 - 2*Log[4]^2*Log[5]))/9,x]","\frac{1}{9} e^{2-2 x} \log ^2(4) (\log (5)-3)","(\log (5)-3) \left(\frac{1}{9} e^{2-2 x} \log ^2(4)+5\right)",1,"(E^(2 - 2*x)*Log[4]^2*(-3 + Log[5]))/9","A",1
8443,1,22,22,0.1421656,"\int \frac{\exp \left(e^x+\frac{1024 e^{-3125-5000 x-3000 x^2-800 x^3-80 x^4}}{x^5}\right) \left(e^x x+\frac{1024 e^{-3125-5000 x-3000 x^2-800 x^3-80 x^4} \left(-5-5000 x-6000 x^2-2400 x^3-320 x^4\right)}{x^5}\right)}{x} \, dx","Integrate[(E^(E^x + (1024*E^(-3125 - 5000*x - 3000*x^2 - 800*x^3 - 80*x^4))/x^5)*(E^x*x + (1024*E^(-3125 - 5000*x - 3000*x^2 - 800*x^3 - 80*x^4)*(-5 - 5000*x - 6000*x^2 - 2400*x^3 - 320*x^4))/x^5))/x,x]","e^{\frac{1024 e^{-5 (2 x+5)^4}}{x^5}+e^x}","e^{\frac{1024 e^{-5 (2 x+5)^4}}{x^5}+e^x}",1,"E^(E^x + 1024/(E^(5*(5 + 2*x)^4)*x^5))","A",1
8444,1,18,20,0.0130056,"\int \frac{-8+36 e^5 x^5 \log (5)}{-4-4 x+3 e^5 x^6 \log (5)} \, dx","Integrate[(-8 + 36*E^5*x^5*Log[5])/(-4 - 4*x + 3*E^5*x^6*Log[5]),x]","2 \log \left(-3 e^5 x^6 \log (5)+4 x+4\right)","\log \left(\left(\frac{3}{2} e^5 x^6 \log (5)-2 x-2\right)^2\right)",1,"2*Log[4 + 4*x - 3*E^5*x^6*Log[5]]","A",1
8445,1,22,24,0.0262605,"\int \frac{-2-15 x-e^x x-4 x^2-2 \log (x)}{x} \, dx","Integrate[(-2 - 15*x - E^x*x - 4*x^2 - 2*Log[x])/x,x]","-2 x^2-15 x-e^x-(\log (x)+1)^2","-e^x+(1-2 x) (x+8)-(\log (x)+1)^2+3",1,"-E^x - 15*x - 2*x^2 - (1 + Log[x])^2","A",1
8446,1,13,17,0.0047704,"\int \frac{2+90 x^3}{x+18 x^4} \, dx","Integrate[(2 + 90*x^3)/(x + 18*x^4),x]","\log \left(18 x^3+1\right)+2 \log (x)","\log \left(6 x^4+\frac{x}{3}\right)+\log (4 x)",1,"2*Log[x] + Log[1 + 18*x^3]","A",1
8447,1,20,18,0.0130061,"\int \frac{16+32 e^{2 x}+e^x (-72-8 x)+2 x}{81 \log ^2(3)} \, dx","Integrate[(16 + 32*E^(2*x) + E^x*(-72 - 8*x) + 2*x)/(81*Log[3]^2),x]","\frac{\left(-x+4 e^x-8\right)^2}{81 \log ^2(3)}","\frac{\left(x-4 e^x+8\right)^2}{81 \log ^2(3)}",1,"(-8 + 4*E^x - x)^2/(81*Log[3]^2)","A",1
8448,1,18,31,0.0971696,"\int \frac{e^{-x} \left(-1536-288 x+e^x \left(-507-234 x-27 x^2\right)\right)}{169+78 x+9 x^2} \, dx","Integrate[(-1536 - 288*x + E^x*(-507 - 234*x - 27*x^2))/(E^x*(169 + 78*x + 9*x^2)),x]","-3 \left(x-\frac{32 e^{-x}}{3 x+13}\right)","3 e^{-x} \left(\frac{8}{4-\frac{3 (1-x)}{4}}-e^x (x+3)\right)",1,"-3*(x - 32/(E^x*(13 + 3*x)))","A",1
8449,1,28,25,0.0769768,"\int \frac{1+\left(-30 x^2-34 x^3-17 x^4-25 x^5+6 x^6\right) \log (-25+5 x+(-5+x) \log (2))}{(-5+x) \log (-25+5 x+(-5+x) \log (2))} \, dx","Integrate[(1 + (-30*x^2 - 34*x^3 - 17*x^4 - 25*x^5 + 6*x^6)*Log[-25 + 5*x + (-5 + x)*Log[2]])/((-5 + x)*Log[-25 + 5*x + (-5 + x)*Log[2]]),x]","x^6+x^5+2 x^4+2 x^3+\log (\log ((x-5) (5+\log (2))))-20250","\left(x^2+2\right) \left(x^2+x\right) x^2+\log (\log ((x-5) (5+\log (2))))",1,"-20250 + 2*x^3 + 2*x^4 + x^5 + x^6 + Log[Log[(-5 + x)*(5 + Log[2])]]","A",1
8450,1,39,30,0.0976443,"\int \frac{4 e^x+\left(e^x \left(-4 x+x^2\right)+4 e^x x^2 (i \pi +\log (\log (4)))+e^x x^2 \log ^2(\log (4)) (i \pi +\log (\log (4)))\right) \log \left(\frac{-4+x+4 x (i \pi +\log (\log (4)))+x \log ^2(\log (4)) (i \pi +\log (\log (4)))}{x (i \pi +\log (\log (4)))}\right)}{-4 x+x^2+4 x^2 (i \pi +\log (\log (4)))+x^2 \log ^2(\log (4)) (i \pi +\log (\log (4)))} \, dx","Integrate[(4*E^x + (E^x*(-4*x + x^2) + 4*E^x*x^2*(I*Pi + Log[Log[4]]) + E^x*x^2*Log[Log[4]]^2*(I*Pi + Log[Log[4]]))*Log[(-4 + x + 4*x*(I*Pi + Log[Log[4]]) + x*Log[Log[4]]^2*(I*Pi + Log[Log[4]]))/(x*(I*Pi + Log[Log[4]]))])/(-4*x + x^2 + 4*x^2*(I*Pi + Log[Log[4]]) + x^2*Log[Log[4]]^2*(I*Pi + Log[Log[4]])),x]","e^x \log \left(-\frac{4}{x (\log (\log (4))+i \pi )}+4+\log ^2(\log (4))+\frac{1}{\log (\log (4))+i \pi }\right)","e^x \log \left(\frac{x-4}{x (\log (\log (4))+i \pi )}+4+\log ^2(\log (4))\right)",1,"E^x*Log[4 + Log[Log[4]]^2 + (I*Pi + Log[Log[4]])^(-1) - 4/(x*(I*Pi + Log[Log[4]]))]","A",1
8451,1,18,20,0.0412724,"\int \frac{e^4 \left(-15 x-6 x^2\right)+e^4 (6+3 x) \log \left(e^{2 x} (2+x)\right)}{2 x^2+x^3} \, dx","Integrate[(E^4*(-15*x - 6*x^2) + E^4*(6 + 3*x)*Log[E^(2*x)*(2 + x)])/(2*x^2 + x^3),x]","-\frac{3 e^4 \log \left(e^{2 x} (x+2)\right)}{x}","1-\frac{3 e^4 \log \left(e^{2 x} (x+2)\right)}{x}",1,"(-3*E^4*Log[E^(2*x)*(2 + x)])/x","A",1
8452,1,36,30,0.2469764,"\int \frac{\left(-1024 x^4-1536 x^5\right) \log (x)+e^4 \left(-1024 x^3-1536 x^4\right) \log ^2(x)+e^8 \left(-384 x^2-576 x^3\right) \log ^3(x)+e^{12} \left(-64 x-96 x^2\right) \log ^4(x)+e^{16} (-4-6 x) \log ^5(x)+\left(-2048 x^4-3072 x^5+\left(-768 x^5+e^4 \left(-1536 x^3-2304 x^4\right)\right) \log (x)+\left(e^8 \left(-384 x^2-576 x^3\right)+e^4 \left(-512 x^3-1536 x^4\right)\right) \log ^2(x)+\left(e^{12} \left(-32 x-48 x^2\right)+e^8 \left(-384 x^2-864 x^3\right)\right) \log ^3(x)+e^{12} \left(-96 x-192 x^2\right) \log ^4(x)+e^{16} (-8-15 x) \log ^5(x)\right) \log \left(x^2\right)}{\left(8 x^5+24 x^6+18 x^7\right) \log ^5(x) \log ^2\left(x^2\right)} \, dx","Integrate[((-1024*x^4 - 1536*x^5)*Log[x] + E^4*(-1024*x^3 - 1536*x^4)*Log[x]^2 + E^8*(-384*x^2 - 576*x^3)*Log[x]^3 + E^12*(-64*x - 96*x^2)*Log[x]^4 + E^16*(-4 - 6*x)*Log[x]^5 + (-2048*x^4 - 3072*x^5 + (-768*x^5 + E^4*(-1536*x^3 - 2304*x^4))*Log[x] + (E^8*(-384*x^2 - 576*x^3) + E^4*(-512*x^3 - 1536*x^4))*Log[x]^2 + (E^12*(-32*x - 48*x^2) + E^8*(-384*x^2 - 864*x^3))*Log[x]^3 + E^12*(-96*x - 192*x^2)*Log[x]^4 + E^16*(-8 - 15*x)*Log[x]^5)*Log[x^2])/((8*x^5 + 24*x^6 + 18*x^7)*Log[x]^5*Log[x^2]^2),x]","\frac{\left(4 x+e^4 \log (x)\right)^4}{2 x^4 (3 x+2) \log ^4(x) \log \left(x^2\right)}","\frac{\left(\frac{e^4}{x}+\frac{4}{\log (x)}\right)^4}{(6 x+4) \log \left(x^2\right)}",1,"(4*x + E^4*Log[x])^4/(2*x^4*(2 + 3*x)*Log[x]^4*Log[x^2])","A",1
8453,1,25,22,0.0172157,"\int \frac{1}{2} \left(e^x \left(10+2 \log ^2(2)\right)-5 x^7 \log ^7(x)-5 x^7 \log ^8(x)\right) \, dx","Integrate[(E^x*(10 + 2*Log[2]^2) - 5*x^7*Log[x]^7 - 5*x^7*Log[x]^8)/2,x]","-\frac{5}{16} x^8 \log ^8(x)+5 e^x+e^x \log ^2(2)","e^x \left(5+\log ^2(2)\right)-\frac{5}{16} x^8 \log ^8(x)",1,"5*E^x + E^x*Log[2]^2 - (5*x^8*Log[x]^8)/16","A",1
8454,1,21,18,0.0078378,"\int \frac{16 x-16 e x}{-1+e^3+12 x-48 x^2+64 x^3+e^2 (-3+12 x)+e \left(3-24 x+48 x^2\right)} \, dx","Integrate[(16*x - 16*E*x)/(-1 + E^3 + 12*x - 48*x^2 + 64*x^3 + E^2*(-3 + 12*x) + E*(3 - 24*x + 48*x^2)),x]","\frac{(e-1) (8 x+e-1)}{2 (4 x+e-1)^2}","2-\frac{8}{\left(4-\frac{1-e}{x}\right)^2}",1,"((-1 + E)*(-1 + E + 8*x))/(2*(-1 + E + 4*x)^2)","A",1
8455,1,50,23,0.1752709,"\int \frac{-1-x+\left(-x^2+x^3\right) \log (4)+e^{1+x} \left(-2+2 x+\left(-2 x^2+2 x^3\right) \log (4)\right)+e^{2+2 x} \left(-1+2 x+\left(-x^2+2 x^3\right) \log (4)\right)}{x^2+x^4 \log (4)} \, dx","Integrate[(-1 - x + (-x^2 + x^3)*Log[4] + E^(1 + x)*(-2 + 2*x + (-2*x^2 + 2*x^3)*Log[4]) + E^(2 + 2*x)*(-1 + 2*x + (-x^2 + 2*x^3)*Log[4]))/(x^2 + x^4*Log[4]),x]","\frac{x \log (16) \log \left(x^2 \log (4)+1\right)-2 x \log (4) \log (x)+e^{2 x+2} \log (16)+4 e^{x+1} \log (4)+\log (16)}{x \log (16)}","\frac{\left(e^{x+1}+1\right)^2}{x}+\log \left(\frac{1}{x}+x \log (4)\right)",1,"(4*E^(1 + x)*Log[4] + Log[16] + E^(2 + 2*x)*Log[16] - 2*x*Log[4]*Log[x] + x*Log[16]*Log[1 + x^2*Log[4]])/(x*Log[16])","B",1
8456,1,15,19,0.0013802,"\int \frac{-4 x^2+\log ^2(2)}{4 x^2} \, dx","Integrate[(-4*x^2 + Log[2]^2)/(4*x^2),x]","-x-\frac{\log ^2(2)}{4 x}","-\frac{\left(x+\frac{\log (2)}{2}\right)^2}{x}-\frac{19}{12}",1,"-x - Log[2]^2/(4*x)","A",1
8457,1,26,21,0.0050906,"\int \frac{e^3 (-2-2 x)-2 \log \left(\frac{e^2}{2}\right)}{e^3} \, dx","Integrate[(E^3*(-2 - 2*x) - 2*Log[E^2/2])/E^3,x]","\frac{-e^3 x^2-2 e^3 x-4 x+x \log (4)}{e^3}","8-\left(x+1+\frac{\log \left(\frac{e^2}{2}\right)}{e^3}\right)^2",1,"(-4*x - 2*E^3*x - E^3*x^2 + x*Log[4])/E^3","A",1
8458,1,22,28,0.1465111,"\int \frac{e^{5 x} \left(1+x+x^2\right)+e^{5 x} \left(6 x+7 x^2+5 x^3\right) \log \left(\frac{1}{x}\right)}{x \log (5) \log ^2\left(\frac{1}{x}\right)} \, dx","Integrate[(E^(5*x)*(1 + x + x^2) + E^(5*x)*(6*x + 7*x^2 + 5*x^3)*Log[x^(-1)])/(x*Log[5]*Log[x^(-1)]^2),x]","\frac{e^{5 x} \left(x^2+x+1\right)}{\log (5) \log \left(\frac{1}{x}\right)}","\frac{e^{5 x} \left(\left(x^2+x\right) x+x\right)}{x \log (5) \log \left(\frac{1}{x}\right)}",1,"(E^(5*x)*(1 + x + x^2))/(Log[5]*Log[x^(-1)])","A",1
8459,1,25,38,0.2255193,"\int \frac{e^{-x} \left(-8 x+2 x^2+4 x^3-x^4-x^5+\left(4-4 x-4 x^2+4 x^3+x^4-x^5\right) \log ^2(5)\right)}{4-4 x^2+x^4} \, dx","Integrate[(-8*x + 2*x^2 + 4*x^3 - x^4 - x^5 + (4 - 4*x - 4*x^2 + 4*x^3 + x^4 - x^5)*Log[5]^2)/(E^x*(4 - 4*x^2 + x^4)),x]","e^{-x} \left(\frac{2}{x^2-2}+x \left(1+\log ^2(5)\right)+2\right)","-e^{-x} \left(\frac{4-x^2}{2-x^2}-x+x \left(-\log ^2(5)\right)-3\right)-3",1,"(2 + 2/(-2 + x^2) + x*(1 + Log[5]^2))/E^x","A",1
8460,1,24,24,0.1747279,"\int \frac{e^{x/4} (4-8 x)+e^{x/4} \left(-7 x-2 x^2\right) \log \left(\frac{1}{5} x \log (5)\right)}{20 x} \, dx","Integrate[(E^(x/4)*(4 - 8*x) + E^(x/4)*(-7*x - 2*x^2)*Log[(x*Log[5])/5])/(20*x),x]","-\frac{1}{5} e^{x/4} (2 x-1) \log \left(\frac{1}{5} x \log (5)\right)","\frac{1}{5} e^{x/4} (1-2 x) \log \left(\frac{1}{5} x \log (5)\right)",1,"-1/5*(E^(x/4)*(-1 + 2*x)*Log[(x*Log[5])/5])","A",1
8461,1,10,13,0.0030744,"\int \frac{e^x (25-25 x)}{16 x^2} \, dx","Integrate[(E^x*(25 - 25*x))/(16*x^2),x]","-\frac{25 e^x}{16 x}","-\frac{25}{16} \left(\frac{e^x}{x}-1\right)",1,"(-25*E^x)/(16*x)","A",1
8462,1,23,18,0.1575225,"\int \frac{256+16 x^4+32 x^5+x^9+x^{10}+\left(256+80 x^4+32 x^5+x^{10}\right) \log (x)}{\left(256 x+16 x^5+32 x^6+x^{10}+x^{11}\right) \log (x)} \, dx","Integrate[(256 + 16*x^4 + 32*x^5 + x^9 + x^10 + (256 + 80*x^4 + 32*x^5 + x^10)*Log[x])/((256*x + 16*x^5 + 32*x^6 + x^10 + x^11)*Log[x]),x]","-\log \left(x^5+16\right)+\log \left(x^5+x^4+16\right)+\log (x)+\log (\log (x))","\log \left(\frac{x}{\frac{16}{x^4}+x}+x\right)+\log (\log (x))",1,"Log[x] - Log[16 + x^5] + Log[16 + x^4 + x^5] + Log[Log[x]]","A",1
8463,1,39,18,0.0064825,"\int \left(4620 x^2+2160 x^3+240 x^4+\left(816 x^2+192 x^3\right) \log (x)+36 x^2 \log ^2(x)\right) \, dx","Integrate[4620*x^2 + 2160*x^3 + 240*x^4 + (816*x^2 + 192*x^3)*Log[x] + 36*x^2*Log[x]^2,x]","48 x^5+528 x^4+48 x^4 \log (x)+1452 x^3+12 x^3 \log ^2(x)+264 x^3 \log (x)","12 x (3 x+x (2 x+\log (x)+8))^2",1,"1452*x^3 + 528*x^4 + 48*x^5 + 264*x^3*Log[x] + 48*x^4*Log[x] + 12*x^3*Log[x]^2","B",1
8464,1,16,16,0.0000894,"\int \frac{8 e^{e^{e^{25}}} x^3}{\log (2)} \, dx","Integrate[(8*E^E^E^25*x^3)/Log[2],x]","\frac{2 e^{e^{e^{25}}} x^4}{\log (2)}","\frac{2 e^{e^{e^{25}}} x^4}{\log (2)}",1,"(2*E^E^E^25*x^4)/Log[2]","A",1
8465,1,19,21,0.2761024,"\int \frac{100-20 x+e^x (-10+2 x)+\left(100+e^x \left(-10+10 x-2 x^2\right)\right) \log (25 x)}{x^2 \log ^2(25 x)} \, dx","Integrate[(100 - 20*x + E^x*(-10 + 2*x) + (100 + E^x*(-10 + 10*x - 2*x^2))*Log[25*x])/(x^2*Log[25*x]^2),x]","-\frac{2 \left(e^x-10\right) (x-5)}{x \log (25 x)}","\frac{2 \left(e^x-10\right) (5-x)}{x \log (25 x)}",1,"(-2*(-10 + E^x)*(-5 + x))/(x*Log[25*x])","A",1
8466,1,13,27,0.0068052,"\int \frac{-121-50 x-22 x^2-x^4}{121+22 x^2+x^4} \, dx","Integrate[(-121 - 50*x - 22*x^2 - x^4)/(121 + 22*x^2 + x^4),x]","\frac{25}{x^2+11}-x","-x+\frac{5}{3-\frac{1}{5} \left(\frac{4}{x}-x\right) x}-22+\log (2)",1,"-x + 25/(11 + x^2)","A",1
8467,1,23,21,0.0906445,"\int \frac{-3 x^2+e^4 x^2+e^x \left(-3+x+x^2\right)}{9 x^2+6 x^3+x^4} \, dx","Integrate[(-3*x^2 + E^4*x^2 + E^x*(-3 + x + x^2))/(9*x^2 + 6*x^3 + x^4),x]","\frac{-e^4 x+3 x+e^x}{x^2+3 x}","\frac{e^x-x \left(x+e^4\right)}{x (x+3)}",1,"(E^x + 3*x - E^4*x)/(3*x + x^2)","A",1
8468,1,17,18,0.0249132,"\int \frac{-20 x^2+\left(40-10 x^2\right) \log \left(-4+x^2\right)+\left(8 x-2 x^3\right) \log \left(-4+x^2\right) \log ^2\left(x \log \left(-4+x^2\right)\right)}{\left(-4 x+x^3\right) \log \left(-4+x^2\right) \log ^2\left(x \log \left(-4+x^2\right)\right)} \, dx","Integrate[(-20*x^2 + (40 - 10*x^2)*Log[-4 + x^2] + (8*x - 2*x^3)*Log[-4 + x^2]*Log[x*Log[-4 + x^2]]^2)/((-4*x + x^3)*Log[-4 + x^2]*Log[x*Log[-4 + x^2]]^2),x]","\frac{10}{\log \left(x \log \left(x^2-4\right)\right)}-2 x","\frac{10}{\log \left(x \log \left(x^2-4\right)\right)}-2 x+5",1,"-2*x + 10/Log[x*Log[-4 + x^2]]","A",1
8469,1,28,25,0.2413292,"\int \frac{\left(-12 x-24 x^2-12 x^3\right) \log (5)+\left(9 x^2+36 x^3+27 x^4\right) \log (x)+\left(\left(8+16 x+8 x^2\right) \log ^2(5)+\left(-24 x^2-24 x^3\right) \log (5) \log (x)\right) \log (\log (x))+\left(-4+4 x^2\right) \log ^2(5) \log (x) \log ^2(\log (x))}{9 e^5 x^2 \log (x)} \, dx","Integrate[((-12*x - 24*x^2 - 12*x^3)*Log[5] + (9*x^2 + 36*x^3 + 27*x^4)*Log[x] + ((8 + 16*x + 8*x^2)*Log[5]^2 + (-24*x^2 - 24*x^3)*Log[5]*Log[x])*Log[Log[x]] + (-4 + 4*x^2)*Log[5]^2*Log[x]*Log[Log[x]]^2)/(9*E^5*x^2*Log[x]),x]","\frac{(x+1)^2 (3 x-2 \log (5) \log (\log (x)))^2}{9 e^5 x}","\frac{(x+1)^2 \left(x-\frac{2}{3} \log (5) \log (\log (x))\right)^2}{e^5 x}",1,"((1 + x)^2*(3*x - 2*Log[5]*Log[Log[x]])^2)/(9*E^5*x)","A",1
8470,1,10,16,0.0000678,"\int \left(-108+12 e^{16}\right) \, dx","Integrate[-108 + 12*E^16,x]","12 e^{16} x-108 x","-24 \left(4+\frac{1}{2} \left(1-e^{16}\right)\right) x",1,"-108*x + 12*E^16*x","A",1
8471,1,16,17,0.0000826,"\int \frac{-10+6 e^4 \log (5)}{3 e^4 \log (5)} \, dx","Integrate[(-10 + 6*E^4*Log[5])/(3*E^4*Log[5]),x]","2 x-\frac{10 x}{3 e^4 \log (5)}","2 x-\frac{10 x}{3 e^4 \log (5)}+4",1,"2*x - (10*x)/(3*E^4*Log[5])","A",1
8472,1,14,15,0.0822683,"\int \frac{\exp \left(16 e^{\frac{2 (-5 x+\log (x))}{x}}+\frac{2 (-5 x+\log (x))}{x}\right) (32-32 \log (x))}{x^2} \, dx","Integrate[(E^(16*E^((2*(-5*x + Log[x]))/x) + (2*(-5*x + Log[x]))/x)*(32 - 32*Log[x]))/x^2,x]","e^{\frac{16 x^{2/x}}{e^{10}}}","e^{16 e^{\frac{2 \log (x)}{x}-10}}",1,"E^((16*x^(2/x))/E^10)","A",1
8473,1,23,23,0.0142876,"\int \frac{-400-800 e^2-400 e^4}{\left(-16 x+x^2\right) \log ^2\left(\frac{16-x}{4 x}\right)} \, dx","Integrate[(-400 - 800*E^2 - 400*E^4)/((-16*x + x^2)*Log[(16 - x)/(4*x)]^2),x]","\frac{25 \left(1+e^2\right)^2}{\log \left(\frac{4-\frac{x}{4}}{x}\right)}","\frac{25 \left(1+e^2\right)^2}{\log \left(\frac{4-\frac{x}{4}}{x}\right)}",1,"(25*(1 + E^2)^2)/Log[(4 - x/4)/x]","A",1
8474,1,21,25,0.0105699,"\int \frac{-16+16 x+53 x^2-10 x^3-x^4}{1+10 x+27 x^2+10 x^3+x^4} \, dx","Integrate[(-16 + 16*x + 53*x^2 - 10*x^3 - x^4)/(1 + 10*x + 27*x^2 + 10*x^3 + x^4),x]","-\frac{80 x+13}{x^2+5 x+1}-x","\frac{1}{4} \left(\log (5)-\frac{4 (x-4)^2 x}{x^2+5 x+1}\right)",1,"-x - (13 + 80*x)/(1 + 5*x + x^2)","A",1
8475,1,35,20,0.2256185,"\int \frac{e^{e^{-\frac{2 x}{1+e^8}} (12-x)-\frac{2 x}{1+e^8}} \left(-25-e^8+2 x\right)}{1+e^8} \, dx","Integrate[(E^((12 - x)/E^((2*x)/(1 + E^8)) - (2*x)/(1 + E^8))*(-25 - E^8 + 2*x))/(1 + E^8),x]","-\frac{\left(-1-e^8\right) e^{-e^{-\frac{2 x}{1+e^8}} (x-12)}}{1+e^8}","e^{e^{-\frac{2 x}{1+e^8}} (12-x)}",1,"-((-1 - E^8)/(E^((-12 + x)/E^((2*x)/(1 + E^8)))*(1 + E^8)))","A",1
8476,1,116,30,0.3058751,"\int \frac{e^{-10-2 x} \left(9216-4608 x+\left(4608+6912 x-4608 x^2+e^{5+x} \left(576 x-288 x^2\right)+e^{5+x} (192-96 x) \log (2-x)\right) \log (x)+\left(e^{5+x} \left(96 x+576 x^2-288 x^3\right)+e^{5+x} \left(192+96 x-96 x^2\right) \log (2-x)\right) \log ^2(x)+\left(e^{10+2 x} \left(-12 x^2+9 x^3\right)+2 e^{10+2 x} x \log (2-x)+e^{10+2 x} (2-x) \log ^2(2-x)\right) \log ^3(x)\right)}{\left(-2 x^2+x^3\right) \log ^3(x)} \, dx","Integrate[(E^(-10 - 2*x)*(9216 - 4608*x + (4608 + 6912*x - 4608*x^2 + E^(5 + x)*(576*x - 288*x^2) + E^(5 + x)*(192 - 96*x)*Log[2 - x])*Log[x] + (E^(5 + x)*(96*x + 576*x^2 - 288*x^3) + E^(5 + x)*(192 + 96*x - 96*x^2)*Log[2 - x])*Log[x]^2 + (E^(10 + 2*x)*(-12*x^2 + 9*x^3) + 2*E^(10 + 2*x)*x*Log[2 - x] + E^(10 + 2*x)*(2 - x)*Log[2 - x]^2)*Log[x]^3))/((-2*x^2 + x^3)*Log[x]^3),x]","\text{Li}_2\left(1-\frac{x}{2}\right)+\text{Li}_2\left(\frac{x}{2}\right)+9 x+\frac{\log ^2(2-x)}{x}+\frac{2304 e^{-2 (x+5)}}{x \log ^2(x)}+\log (x) \log (2-x)+\frac{96 e^{-x-5} \log (2-x)}{x \log (x)}-\log (2) \log (2-x)+6 \log (2-x)-\log (2) \log (x)+\frac{288 e^{-x-5}}{\log (x)}","\frac{\left(\log (2-x)+3 \left(x+\frac{16 e^{-x-5}}{\log (x)}\right)\right)^2}{x}",1,"9*x + 6*Log[2 - x] - Log[2]*Log[2 - x] + Log[2 - x]^2/x + 2304/(E^(2*(5 + x))*x*Log[x]^2) + (288*E^(-5 - x))/Log[x] + (96*E^(-5 - x)*Log[2 - x])/(x*Log[x]) - Log[2]*Log[x] + Log[2 - x]*Log[x] + PolyLog[2, 1 - x/2] + PolyLog[2, x/2]","C",1
8477,1,20,23,0.0078118,"\int \frac{-400+16 x^2+e^{25} \left(100-4 x^2\right)}{243 \left(15625+17500 x+6150 x^2+700 x^3+25 x^4\right)} \, dx","Integrate[(-400 + 16*x^2 + E^25*(100 - 4*x^2))/(243*(15625 + 17500*x + 6150*x^2 + 700*x^3 + 25*x^4)),x]","\frac{4 \left(e^{25}-4\right) x}{6075 \left(x^2+14 x+25\right)}","\frac{\left(e^{25}-4\right) x}{6075 \left(\frac{1}{4} (x+5)^2+x\right)}",1,"(4*(-4 + E^25)*x)/(6075*(25 + 14*x + x^2))","A",1
8478,1,17,17,0.3255733,"\int \frac{-4+3 x+e^{e^x+x} x}{-3 x+e^{e^x} x+3 x^2-x \log \left(x^4\right)} \, dx","Integrate[(-4 + 3*x + E^(E^x + x)*x)/(-3*x + E^E^x*x + 3*x^2 - x*Log[x^4]),x]","\log \left(\log \left(x^4\right)-3 x-e^{e^x}+3\right)","\log \left(\log \left(x^4\right)-3 x-e^{e^x}+3\right)",1,"Log[3 - E^E^x - 3*x + Log[x^4]]","A",1
8479,1,9,11,0.0083749,"\int 9 e^{-4+e^{9 x}+9 x} \, dx","Integrate[9*E^(-4 + E^(9*x) + 9*x),x]","e^{e^{9 x}-4}","e^{e^{9 x}-4}+2",1,"E^(-4 + E^(9*x))","A",1
8480,1,44,35,0.0695262,"\int \frac{e^{1+2 x} \left(-225-425 x-10 x^2+450 x^3+287 x^4-41 x^5-99 x^6-35 x^7-4 x^8\right)+e \left(1500-2700 x^2-900 x^3+1620 x^4+1080 x^5-144 x^6-324 x^7-108 x^8-12 x^9\right)}{-16000 x^4+28800 x^6+9600 x^7-17280 x^8-11520 x^9+1536 x^{10}+3456 x^{11}+1152 x^{12}+128 x^{13}+e^{6 x} \left(54 x^4+54 x^5+18 x^6+2 x^7\right)+e^{4 x} \left(-1080 x^4-720 x^5+528 x^6+648 x^7+216 x^8+24 x^9\right)+e^{2 x} \left(7200 x^4+2400 x^5-8640 x^6-5760 x^7+1632 x^8+2592 x^9+864 x^{10}+96 x^{11}\right)} \, dx","Integrate[(E^(1 + 2*x)*(-225 - 425*x - 10*x^2 + 450*x^3 + 287*x^4 - 41*x^5 - 99*x^6 - 35*x^7 - 4*x^8) + E*(1500 - 2700*x^2 - 900*x^3 + 1620*x^4 + 1080*x^5 - 144*x^6 - 324*x^7 - 108*x^8 - 12*x^9))/(-16000*x^4 + 28800*x^6 + 9600*x^7 - 17280*x^8 - 11520*x^9 + 1536*x^10 + 3456*x^11 + 1152*x^12 + 128*x^13 + E^(6*x)*(54*x^4 + 54*x^5 + 18*x^6 + 2*x^7) + E^(4*x)*(-1080*x^4 - 720*x^5 + 528*x^6 + 648*x^7 + 216*x^8 + 24*x^9) + E^(2*x)*(7200*x^4 + 2400*x^5 - 8640*x^6 - 5760*x^7 + 1632*x^8 + 2592*x^9 + 864*x^10 + 96*x^11)),x]","\frac{e \left(x^3+3 x^2-5\right)^2}{2 x^3 \left(4 \left(x^3+3 x^2-5\right)+e^{2 x} (x+3)\right)^2}","\frac{e}{2 x \left(\left(\frac{e^{2 x}}{x^2-\frac{5}{x+3}}+3\right) x+x\right)^2}",1,"(E*(-5 + 3*x^2 + x^3)^2)/(2*x^3*(E^(2*x)*(3 + x) + 4*(-5 + 3*x^2 + x^3))^2)","A",1
8481,1,20,20,0.0178068,"\int \frac{6250+e^{2 e^{8 x/5}} \left(-5-16 e^{8 x/5} x\right)}{3125} \, dx","Integrate[(6250 + E^(2*E^((8*x)/5))*(-5 - 16*E^((8*x)/5)*x))/3125,x]","2 x-\frac{1}{625} e^{2 e^{8 x/5}} x","2 x-\frac{1}{625} e^{2 e^{8 x/5}} x",1,"2*x - (E^(2*E^((8*x)/5))*x)/625","A",1
8482,1,41,31,0.868709,"\int \frac{-3 x^4+3 e^{\frac{25+10 e^3 x+e^6 x^2}{x^2}} x^3 \log (x)+\exp \left(\frac{1}{3} \left(-5+\log \left(-x+e^{\frac{25+10 e^3 x+e^6 x^2}{x^2}} \log (x)\right)\right)\right) \left(e^{\frac{25+10 e^3 x+e^6 x^2}{x^2}} x^2-x^3+e^{\frac{25+10 e^3 x+e^6 x^2}{x^2}} \left(-50-10 e^3 x\right) \log (x)\right)}{-3 x^4+3 e^{\frac{25+10 e^3 x+e^6 x^2}{x^2}} x^3 \log (x)} \, dx","Integrate[(-3*x^4 + 3*E^((25 + 10*E^3*x + E^6*x^2)/x^2)*x^3*Log[x] + E^((-5 + Log[-x + E^((25 + 10*E^3*x + E^6*x^2)/x^2)*Log[x]])/3)*(E^((25 + 10*E^3*x + E^6*x^2)/x^2)*x^2 - x^3 + E^((25 + 10*E^3*x + E^6*x^2)/x^2)*(-50 - 10*E^3*x)*Log[x]))/(-3*x^4 + 3*E^((25 + 10*E^3*x + E^6*x^2)/x^2)*x^3*Log[x]),x]","\frac{1}{3} \left(\frac{3 \sqrt[3]{e^{\frac{\left(e^3 x+5\right)^2}{x^2}} \log (x)-x}}{e^{5/3}}+3 x\right)","x+e^{\frac{1}{3} \left(\log \left(e^{\left(\frac{5}{x}+e^3\right)^2} \log (x)-x\right)-5\right)}",1,"(3*x + (3*(-x + E^((5 + E^3*x)^2/x^2)*Log[x])^(1/3))/E^(5/3))/3","A",1
8483,1,39,28,0.1133725,"\int \frac{1}{5} \left(-6 e^x+e^{4 x} \left(-4-3 x^2-4 x^3\right)+e^{3 x} \left(-14+3 x-15 x^2-11 x^3+3 x^4\right)\right) \, dx","Integrate[(-6*E^x + E^(4*x)*(-4 - 3*x^2 - 4*x^3) + E^(3*x)*(-14 + 3*x - 15*x^2 - 11*x^3 + 3*x^4))/5,x]","\frac{1}{5} \left(-e^{4 x} \left(x^3+1\right)+e^{3 x} \left(x^4-5 x^3+x-5\right)-6 e^x\right)","\frac{1}{5} e^x \left(e^{2 x} \left(x-e^x-5\right) \left(x^3+1\right)-6\right)",1,"(-6*E^x - E^(4*x)*(1 + x^3) + E^(3*x)*(-5 + x - 5*x^3 + x^4))/5","A",1
8484,1,29,31,0.1045988,"\int \frac{-16-27 x-2 x^2+\left(3 x+x^2\right) \log \left(e^{4 x} x^4\right)+\left(5 x-2 x^2+\left(-4 x-x^2\right) \log \left(e^{4 x} x^4\right)+\left(-5+2 x+(4+x) \log \left(e^{4 x} x^4\right)\right) \log \left(-5+2 x+(4+x) \log \left(e^{4 x} x^4\right)\right)\right) \log \left(x-\log \left(-5+2 x+(4+x) \log \left(e^{4 x} x^4\right)\right)\right)}{\left(5 x-2 x^2+\left(-4 x-x^2\right) \log \left(e^{4 x} x^4\right)+\left(-5+2 x+(4+x) \log \left(e^{4 x} x^4\right)\right) \log \left(-5+2 x+(4+x) \log \left(e^{4 x} x^4\right)\right)\right) \log ^2\left(x-\log \left(-5+2 x+(4+x) \log \left(e^{4 x} x^4\right)\right)\right)} \, dx","Integrate[(-16 - 27*x - 2*x^2 + (3*x + x^2)*Log[E^(4*x)*x^4] + (5*x - 2*x^2 + (-4*x - x^2)*Log[E^(4*x)*x^4] + (-5 + 2*x + (4 + x)*Log[E^(4*x)*x^4])*Log[-5 + 2*x + (4 + x)*Log[E^(4*x)*x^4]])*Log[x - Log[-5 + 2*x + (4 + x)*Log[E^(4*x)*x^4]]])/((5*x - 2*x^2 + (-4*x - x^2)*Log[E^(4*x)*x^4] + (-5 + 2*x + (4 + x)*Log[E^(4*x)*x^4])*Log[-5 + 2*x + (4 + x)*Log[E^(4*x)*x^4]])*Log[x - Log[-5 + 2*x + (4 + x)*Log[E^(4*x)*x^4]]]^2),x]","\frac{x}{\log \left(x-\log \left((x+4) \log \left(e^{4 x} x^4\right)+2 x-5\right)\right)}","\frac{x}{\log \left(x-\log \left((x+4) \log \left(e^{4 x} x^4\right)+2 x-5\right)\right)}-5",1,"x/Log[x - Log[-5 + 2*x + (4 + x)*Log[E^(4*x)*x^4]]]","A",1
8485,1,36,25,0.2054891,"\int \frac{\exp \left(\frac{-192 x+58 x^2+2 x^3+e^{-6+x^2} \left(-24 x+8 x^2\right)}{8+e^{-6+x^2}}\right) \left(-1536+928 x+48 x^2+e^{-12+2 x^2} (-24+16 x)+e^{-6+x^2} \left(-384+244 x+6 x^2+12 x^3-4 x^4\right)\right)}{64+16 e^{-6+x^2}+e^{-12+2 x^2}} \, dx","Integrate[(E^((-192*x + 58*x^2 + 2*x^3 + E^(-6 + x^2)*(-24*x + 8*x^2))/(8 + E^(-6 + x^2)))*(-1536 + 928*x + 48*x^2 + E^(-12 + 2*x^2)*(-24 + 16*x) + E^(-6 + x^2)*(-384 + 244*x + 6*x^2 + 12*x^3 - 4*x^4)))/(64 + 16*E^(-6 + x^2) + E^(-12 + 2*x^2)),x]","\exp \left(\frac{2 (x-3) x \left(4 e^{x^2}+e^6 (x+32)\right)}{e^{x^2}+8 e^6}\right)","e^{2 (x-3) x \left(\frac{x}{e^{x^2-6}+8}+4\right)}+3",1,"E^((2*(-3 + x)*x*(4*E^x^2 + E^6*(32 + x)))/(8*E^6 + E^x^2))","A",1
8486,1,15,15,0.0555013,"\int \frac{-52+e^{3 x/4} (-16+3 x)}{64-32 x+4 x^2} \, dx","Integrate[(-52 + E^((3*x)/4)*(-16 + 3*x))/(64 - 32*x + 4*x^2),x]","\frac{e^{3 x/4}+13}{x-4}","\frac{e^{3 x/4}+13}{x-4}",1,"(13 + E^((3*x)/4))/(-4 + x)","A",1
8487,1,66,26,0.2330921,"\int \frac{4-10 x+4 x^2+e^x \left(-1-2 x+7 x^2-4 x^3\right)+\left(-8+9 x+e^x \left(2+5 x-6 x^2-x^3\right)\right) \log (x)+\left(4+e^x \left(-1-2 x-2 x^2\right)\right) \log ^2(x)-e^x x \log ^3(x)}{x^2-x^3+e^x \left(4 x-8 x^2+4 x^3\right)+\left(-4 x+7 x^2-4 x^3+e^x \left(-7 x+6 x^2+x^3\right)\right) \log (x)+\left(8 x-8 x^2+e^x \left(2 x+2 x^2\right)\right) \log ^2(x)+\left(-4 x+e^x x\right) \log ^3(x)} \, dx","Integrate[(4 - 10*x + 4*x^2 + E^x*(-1 - 2*x + 7*x^2 - 4*x^3) + (-8 + 9*x + E^x*(2 + 5*x - 6*x^2 - x^3))*Log[x] + (4 + E^x*(-1 - 2*x - 2*x^2))*Log[x]^2 - E^x*x*Log[x]^3)/(x^2 - x^3 + E^x*(4*x - 8*x^2 + 4*x^3) + (-4*x + 7*x^2 - 4*x^3 + E^x*(-7*x + 6*x^2 + x^3))*Log[x] + (8*x - 8*x^2 + E^x*(2*x + 2*x^2))*Log[x]^2 + (-4*x + E^x*x)*Log[x]^3),x]","\log (-x-\log (x)+1)-\log \left(-4 e^x+4 e^x x-x+e^x \log ^2(x)-4 \log ^2(x)+3 e^x \log (x)+e^x x \log (x)-4 x \log (x)+4 \log (x)\right)","\log \left(\frac{1}{-\frac{x}{x+\log (x)-1}-4 \log (x)+e^x (\log (x)+4)}\right)",1,"Log[1 - x - Log[x]] - Log[-4*E^x - x + 4*E^x*x + 4*Log[x] + 3*E^x*Log[x] - 4*x*Log[x] + E^x*x*Log[x] - 4*Log[x]^2 + E^x*Log[x]^2]","B",1
8488,1,9,12,0.0017395,"\int \left(-1-3 e^x\right) \, dx","Integrate[-1 - 3*E^x,x]","-x-3 e^x","2 x-3 \left(x+e^x+5\right)",1,"-3*E^x - x","A",1
8489,1,31,26,0.0110424,"\int \frac{-2112 x+3504 x^2-1756 x^3+3 x^4}{-64+288 x-432 x^2+216 x^3} \, dx","Integrate[(-2112*x + 3504*x^2 - 1756*x^3 + 3*x^4)/(-64 + 288*x - 432*x^2 + 216*x^3),x]","\frac{27 x^4-31536 x^3+63000 x^2-45984 x+15328}{432 (2-3 x)^2}","\frac{(4-x)^4}{16 (3 x-2)^2}-8 x+e^2-3",1,"(15328 - 45984*x + 63000*x^2 - 31536*x^3 + 27*x^4)/(432*(2 - 3*x)^2)","A",1
8490,1,21,23,0.0146045,"\int \frac{5+2 x+2 x^2+e^x \left(-x-x^2\right)}{5 x} \, dx","Integrate[(5 + 2*x + 2*x^2 + E^x*(-x - x^2))/(5*x),x]","\frac{1}{5} \left(x^2-e^x x+2 x+5 \log (x)\right)","\frac{1}{5} \left(-\left(\left(e^x-x\right) x\right)+2 x+9\right)+\log (x)+4",1,"(2*x - E^x*x + x^2 + 5*Log[x])/5","A",1
8491,1,17,21,0.0084447,"\int \frac{-10+e^4 (-2-x)-9 x-x^2}{5 x+e^4 x+x^2} \, dx","Integrate[(-10 + E^4*(-2 - x) - 9*x - x^2)/(5*x + E^4*x + x^2),x]","-x-2 \log (x)-2 \log \left(x+e^4+5\right)","-\log \left(2 x^2 \left(x+e^4+5\right)^2\right)-x-23",1,"-x - 2*Log[x] - 2*Log[5 + E^4 + x]","A",1
8492,1,38,30,0.085375,"\int \frac{-10+2 x^2+e^{-4 x^2+x^3} \left(-68 x+30 x^2-26 x^3+9 x^4+8 x^5-3 x^6\right)+e^{-4 x^2+x^3} \left(40 x-15 x^2-8 x^3+3 x^4\right) \log \left(5-x^2\right)}{-5+x^2} \, dx","Integrate[(-10 + 2*x^2 + E^(-4*x^2 + x^3)*(-68*x + 30*x^2 - 26*x^3 + 9*x^4 + 8*x^5 - 3*x^6) + E^(-4*x^2 + x^3)*(40*x - 15*x^2 - 8*x^3 + 3*x^4)*Log[5 - x^2])/(-5 + x^2),x]","-e^{(x-4) x^2} \left(x^2+2\right)+e^{(x-4) x^2} \log \left(5-x^2\right)+2 x","2 x-e^{(x-4) x^2} \left(x^2-\log \left(5-x^2\right)+2\right)",1,"2*x - E^((-4 + x)*x^2)*(2 + x^2) + E^((-4 + x)*x^2)*Log[5 - x^2]","A",1
8493,0,0,22,2.0369944,"\int \frac{1+x+e^x \left(4-x^2+4 \log (3)+\log ^2(3)\right)}{x+e^x \left(4 x-4 x^2+x^3+\left(4 x-2 x^2\right) \log (3)+x \log ^2(3)\right)} \, dx","Integrate[(1 + x + E^x*(4 - x^2 + 4*Log[3] + Log[3]^2))/(x + E^x*(4*x - 4*x^2 + x^3 + (4*x - 2*x^2)*Log[3] + x*Log[3]^2)),x]","\int \frac{1+x+e^x \left(4-x^2+4 \log (3)+\log ^2(3)\right)}{x+e^x \left(4 x-4 x^2+x^3+\left(4 x-2 x^2\right) \log (3)+x \log ^2(3)\right)} \, dx","x+\log \left(\frac{x}{e^x (x-2-\log (3))^2+1}\right)",1,"Integrate[(1 + x + E^x*(4 - x^2 + 4*Log[3] + Log[3]^2))/(x + E^x*(4*x - 4*x^2 + x^3 + (4*x - 2*x^2)*Log[3] + x*Log[3]^2)), x]","F",-1
8494,1,30,27,1.5500852,"\int \frac{e^{\frac{1}{3} \left(3 e^{e^x}+7 x-e^{\frac{12+4 x}{x}} x+x^2\right)} \left(e^{\frac{12+4 x}{x}} (12-x)+7 x+3 e^{e^x+x} x+2 x^2\right)}{3 x} \, dx","Integrate[(E^((3*E^E^x + 7*x - E^((12 + 4*x)/x)*x + x^2)/3)*(E^((12 + 4*x)/x)*(12 - x) + 7*x + 3*E^(E^x + x)*x + 2*x^2))/(3*x),x]","e^{-\frac{1}{3} e^{\frac{12}{x}+4} x+\frac{1}{3} (x+7) x+e^{e^x}}","e^{\frac{1}{3} x \left(x-e^{\frac{12}{x}+4}+7\right)+e^{e^x}}",1,"E^(E^E^x - (E^(4 + 12/x)*x)/3 + (x*(7 + x))/3)","A",1
8495,1,26,29,0.0151969,"\int \frac{-144 x-80 x^2+4 e^5 x^2-72 \log (2)}{e^5 x^4+2 e^5 x^3 \log (2)+e^5 x^2 \log ^2(2)} \, dx","Integrate[(-144*x - 80*x^2 + 4*E^5*x^2 - 72*Log[2])/(E^5*x^4 + 2*E^5*x^3*Log[2] + E^5*x^2*Log[2]^2),x]","\frac{4 \left(-e^5 x+20 x+18\right)}{e^5 \left(x^2+x \log (2)\right)}","\frac{4 \left(\frac{5 \left(\frac{3}{x}+4\right)+\frac{3}{x}}{e^5}-1\right)}{x+\log (2)}",1,"(4*(18 + 20*x - E^5*x))/(E^5*(x^2 + x*Log[2]))","A",1
8496,1,17,23,0.2477345,"\int \frac{\left(-10+2 x^2\right) \log \left(\frac{5+x^2}{x}\right)+\left(5+x^2\right) \log ^2\left(\frac{5+x^2}{x}\right)}{20+4 x^2} \, dx","Integrate[((-10 + 2*x^2)*Log[(5 + x^2)/x] + (5 + x^2)*Log[(5 + x^2)/x]^2)/(20 + 4*x^2),x]","\frac{1}{4} x \log ^2\left(\frac{x^2+5}{x}\right)","\frac{1}{4} x \left(\log ^2\left(x+\frac{5}{x}\right)-\frac{\log (8)}{x}\right)",1,"(x*Log[(5 + x^2)/x]^2)/4","A",1
8497,1,124,29,0.4880416,"\int \frac{4 x^2+24 x^4+8 x^5+e^8 \left(24 x^2+8 x^3\right)+e^4 \left(-8+48 x^3+16 x^4\right)+e^x \left(-8+4 x^2+e^4 (4+4 x)\right)}{4 x^2+4 x^3+x^4+e^8 \left(4+4 x+x^2\right)+e^4 \left(8 x+8 x^2+2 x^3\right)} \, dx","Integrate[(4*x^2 + 24*x^4 + 8*x^5 + E^8*(24*x^2 + 8*x^3) + E^4*(-8 + 48*x^3 + 16*x^4) + E^x*(-8 + 4*x^2 + E^4*(4 + 4*x)))/(4*x^2 + 4*x^3 + x^4 + E^8*(4 + 4*x + x^2) + E^4*(8*x + 8*x^2 + 2*x^3)),x]","\frac{4 \left(4 x \left(x^3-4 x-9\right)-2 e^{16} \left(x^2-x-6\right)+e^{12} x \left(x^2+6 x+12\right)+e^8 \left(x^4-4 x^3+15 x+32\right)-4 e^4 \left(x^4-x^3-4 x^2-5 x+8\right)-2 e^{20} (x+2)+4 e^x-4 e^{x+4}+e^{x+8}\right)}{\left(e^4-2\right)^2 (x+2) \left(x+e^4\right)}","\frac{4 x \left(x^2+\frac{\frac{e^x}{x}-1}{x+e^4}\right)}{x+2}",1,"(4*(4*E^x - 4*E^(4 + x) + E^(8 + x) - 2*E^20*(2 + x) - 2*E^16*(-6 - x + x^2) + E^12*x*(12 + 6*x + x^2) + 4*x*(-9 - 4*x + x^3) + E^8*(32 + 15*x - 4*x^3 + x^4) - 4*E^4*(8 - 5*x - 4*x^2 - x^3 + x^4)))/((-2 + E^4)^2*(2 + x)*(E^4 + x))","B",1
8498,1,29,30,0.0977747,"\int \frac{75 x^3-30 x^4+3 x^5+e^{3/x} \left(15+2 x+24 x^2-10 x^3+x^4\right)+\left(-e^{3/x} x^2-3 x^3\right) \log \left(\frac{e^{3/x}+3 x}{x}\right)}{75 x^5-30 x^6+3 x^7+e^{3/x} \left(25 x^4-10 x^5+x^6\right)+\left(-30 x^4+6 x^5+e^{3/x} \left(-10 x^3+2 x^4\right)\right) \log \left(\frac{e^{3/x}+3 x}{x}\right)+\left(e^{3/x} x^2+3 x^3\right) \log ^2\left(\frac{e^{3/x}+3 x}{x}\right)} \, dx","Integrate[(75*x^3 - 30*x^4 + 3*x^5 + E^(3/x)*(15 + 2*x + 24*x^2 - 10*x^3 + x^4) + (-(E^(3/x)*x^2) - 3*x^3)*Log[(E^(3/x) + 3*x)/x])/(75*x^5 - 30*x^6 + 3*x^7 + E^(3/x)*(25*x^4 - 10*x^5 + x^6) + (-30*x^4 + 6*x^5 + E^(3/x)*(-10*x^3 + 2*x^4))*Log[(E^(3/x) + 3*x)/x] + (E^(3/x)*x^2 + 3*x^3)*Log[(E^(3/x) + 3*x)/x]^2),x]","\frac{5-x}{x^2-5 x+\log \left(\frac{e^{3/x}}{x}+3\right)}","\frac{1}{\frac{\log \left(\frac{e^{3/x}}{x}+3\right)}{5-x}-x}+4",1,"(5 - x)/(-5*x + x^2 + Log[3 + E^(3/x)/x])","A",1
8499,1,35,31,0.0798959,"\int \frac{12 x^2+4 x^3-6 x^4-12 x \log \left(16-48 x+36 x^2\right)+(-2+3 x) \log ^2\left(16-48 x+36 x^2\right)}{-2 x^2+3 x^3} \, dx","Integrate[(12*x^2 + 4*x^3 - 6*x^4 - 12*x*Log[16 - 48*x + 36*x^2] + (-2 + 3*x)*Log[16 - 48*x + 36*x^2]^2)/(-2*x^2 + 3*x^3),x]","-x^2-\frac{\log ^2\left(4 (2-3 x)^2\right)}{x}+2 \log \left(4 (2-3 x)^2\right)","\frac{x^2+x-\left(x-\log \left((4-6 x)^2\right)\right)^2}{x}-x^2",1,"-x^2 + 2*Log[4*(2 - 3*x)^2] - Log[4*(2 - 3*x)^2]^2/x","A",1
8500,1,14,23,0.0057875,"\int \frac{-2+x-3 x^2}{-2 x-x^2+x^3} \, dx","Integrate[(-2 + x - 3*x^2)/(-2*x - x^2 + x^3),x]","\log (x)-2 \log \left(-x^2+x+2\right)","\log \left(\frac{\log ^2\left(e^{2 x}\right)}{x \left(-x^2+x+2\right)^2}\right)",1,"Log[x] - 2*Log[2 + x - x^2]","A",1
8501,1,48,28,0.1378121,"\int \frac{-64 x-60 x \log (x)+e^x \left(30 x-32 x^2\right) \log ^2(x)+\left(64 x+128 x \log (x)+e^x \left(-64 x+32 x^2\right) \log ^2(x)\right) \log \left(\frac{2-e^x \log (x)}{\log (x)}\right)+\left(-64 x \log (x)+32 e^x x \log ^2(x)\right) \log ^2\left(\frac{2-e^x \log (x)}{\log (x)}\right)}{-2 \log (x)+e^x \log ^2(x)} \, dx","Integrate[(-64*x - 60*x*Log[x] + E^x*(30*x - 32*x^2)*Log[x]^2 + (64*x + 128*x*Log[x] + E^x*(-64*x + 32*x^2)*Log[x]^2)*Log[(2 - E^x*Log[x])/Log[x]] + (-64*x*Log[x] + 32*E^x*x*Log[x]^2)*Log[(2 - E^x*Log[x])/Log[x]]^2)/(-2*Log[x] + E^x*Log[x]^2),x]","2 \left(\frac{15 x^2}{2}+8 x^2 \log ^2\left(\frac{2}{\log (x)}-e^x\right)-16 x^2 \log \left(\frac{2}{\log (x)}-e^x\right)\right)","\left(4 x-4 x \log \left(\frac{2}{\log (x)}-e^x\right)\right)^2-x^2",1,"2*((15*x^2)/2 - 16*x^2*Log[-E^x + 2/Log[x]] + 8*x^2*Log[-E^x + 2/Log[x]]^2)","A",1
8502,1,36,30,0.0178172,"\int \frac{18 x-10 x^3+e^5 \left(-12-2 x^3\right)}{\left(e^{10} x^3-2 e^5 x^4+x^5\right) \log \left(\frac{\log ^2(5)}{4}\right)} \, dx","Integrate[(18*x - 10*x^3 + E^5*(-12 - 2*x^3))/((E^10*x^3 - 2*E^5*x^4 + x^5)*Log[Log[5]^2/4]),x]","-\frac{2 \left(\left(5+e^5\right) x^2-3\right)}{\left(e^5-x\right) x^2 \log \left(\frac{\log ^2(5)}{4}\right)}","\frac{2 \left(-\frac{3}{x^2}+x+5\right)}{\left(x-e^5\right) \log \left(\frac{\log ^2(5)}{4}\right)}",1,"(-2*(-3 + (5 + E^5)*x^2))/((E^5 - x)*x^2*Log[Log[5]^2/4])","A",1
8503,1,10,12,0.0015985,"\int \frac{e}{(-8+x) (-16+2 x)} \, dx","Integrate[E/((-8 + x)*(-16 + 2*x)),x]","-\frac{e}{2 (x-8)}","-\frac{e}{2 x-16}-4",1,"-1/2*E/(-8 + x)","A",1
8504,1,71,24,0.0302788,"\int \frac{80 x-320 x^2+360 x^3-160 x^4+25 x^5+(4-4 x) \log \left(e^{-x} x\right)}{x} \, dx","Integrate[(80*x - 320*x^2 + 360*x^3 - 160*x^4 + 25*x^5 + (4 - 4*x)*Log[x/E^x])/x,x]","5 x^5-40 x^4+120 x^3-158 x^2+76 x+2 \log ^2(x)-4 x \log (x)-4 x \left(x-\log (x)+\log \left(e^{-x} x\right)-1\right)+4 \log (x) \left(x-\log (x)+\log \left(e^{-x} x\right)\right)","5 x (x-2)^4+2 \log ^2\left(e^{-x} x\right)+e^5",1,"76*x - 158*x^2 + 120*x^3 - 40*x^4 + 5*x^5 - 4*x*Log[x] + 2*Log[x]^2 - 4*x*(-1 + x - Log[x] + Log[x/E^x]) + 4*Log[x]*(x - Log[x] + Log[x/E^x])","B",1
8505,1,34,27,0.0990256,"\int \frac{-12+4 x+\left(-4 x-24 x^3+8 x^4\right) \log (x)+\left(-36 x^3+8 x^4\right) \log ^2(x)}{9 x-6 x^2+x^3} \, dx","Integrate[(-12 + 4*x + (-4*x - 24*x^3 + 8*x^4)*Log[x] + (-36*x^3 + 8*x^4)*Log[x]^2)/(9*x - 6*x^2 + x^3),x]","\frac{4}{3} \left(\frac{3 \log (x) \left(x^3 \log (x)+1\right)}{x-3}-\log (3-x)+\log (x-3)\right)","-\frac{4 x \left(x^2 \log ^2(x)+\frac{\log (x)}{x}\right)}{3-x}-2",1,"(4*(-Log[3 - x] + Log[-3 + x] + (3*Log[x]*(1 + x^3*Log[x]))/(-3 + x)))/3","A",1
8506,1,13,24,0.0017311,"\int \frac{-4+8 x \log (2)}{\log (2)} \, dx","Integrate[(-4 + 8*x*Log[2])/Log[2],x]","4 x^2-\frac{4 x}{\log (2)}","4 \left(x^2+\frac{x-x^2}{x \log (2)}-\frac{1}{9}\right)",1,"4*x^2 - (4*x)/Log[2]","A",1
8507,1,36,25,0.0499644,"\int \frac{2 x-6 x^2+4 x^3+16 x^4+256 e^{3 x} x^4-256 x^7+e^{2 x} \left(48 x^3-32 x^4-768 x^5\right)+e^x \left(-1+x+4 x^2-20 x^3-48 x^4+32 x^5+768 x^6\right)}{128 e^{3 x} x^3-384 e^{2 x} x^4+384 e^x x^5-128 x^6} \, dx","Integrate[(2*x - 6*x^2 + 4*x^3 + 16*x^4 + 256*E^(3*x)*x^4 - 256*x^7 + E^(2*x)*(48*x^3 - 32*x^4 - 768*x^5) + E^x*(-1 + x + 4*x^2 - 20*x^3 - 48*x^4 + 32*x^5 + 768*x^6))/(128*E^(3*x)*x^3 - 384*E^(2*x)*x^4 + 384*E^x*x^5 - 128*x^6),x]","\frac{\left(16 x^3-16 e^x x^2-2 x+1\right)^2}{256 \left(e^x-x\right)^2 x^2}","\left(\frac{1-2 x}{16 x \left(x-e^x\right)}+x\right)^2",1,"(1 - 2*x - 16*E^x*x^2 + 16*x^3)^2/(256*(E^x - x)^2*x^2)","A",1
8508,1,18,23,0.0623296,"\int \left(-3+e^{20+24 x-4 x^5} \left(72-60 x^4\right)\right) \, dx","Integrate[-3 + E^(20 + 24*x - 4*x^5)*(72 - 60*x^4),x]","3 e^{-4 x^5+24 x+20}-3 x","3 \left(e^{4 \left(8-x^4\right) x-8 x+20}-x\right)",1,"3*E^(20 + 24*x - 4*x^5) - 3*x","A",1
8509,1,28,30,0.0806019,"\int \frac{-30+60 x-32 x^2+4 x^3-2 x^4+e^x \left(33+27 x-33 x^2+3 x^3\right)}{6-12 x+6 x^2} \, dx","Integrate[(-30 + 60*x - 32*x^2 + 4*x^3 - 2*x^4 + E^x*(33 + 27*x - 33*x^2 + 3*x^3))/(6 - 12*x + 6*x^2),x]","-\frac{x^3}{9}-5 x+\frac{1}{2} e^x \left(x-\frac{10}{x-1}-10\right)","x \left(-\frac{x^2}{9}+\frac{e^x (11-x)}{2 (1-x)}-5\right)",1,"-5*x - x^3/9 + (E^x*(-10 - 10/(-1 + x) + x))/2","A",1
8510,1,14,24,0.0233144,"\int \frac{e^{-x} \left(e^x (1-x)+2 x^2-x^3\right)}{x} \, dx","Integrate[(E^x*(1 - x) + 2*x^2 - x^3)/(E^x*x),x]","x \left(e^{-x} x-1\right)+\log (x)","e^{-x} x^2-\log \left(\frac{e^{x+2}}{x}\right)+\log (5)",1,"x*(-1 + x/E^x) + Log[x]","A",1
8511,-1,0,24,180.0036483,"\int \frac{-30 \log ^2(x)+e^{\frac{-2 x+x^2+3 x \log (x)}{30 \log (x)}} \left(2 x-x^2+\left(-2 x+2 x^2\right) \log (x)+(30+3 x) \log ^2(x)\right)}{30 x^2 \log ^2(x)-60 e^{\frac{-2 x+x^2+3 x \log (x)}{30 \log (x)}} x^2 \log ^2(x)+30 e^{\frac{-2 x+x^2+3 x \log (x)}{15 \log (x)}} x^2 \log ^2(x)} \, dx","Integrate[(-30*Log[x]^2 + E^((-2*x + x^2 + 3*x*Log[x])/(30*Log[x]))*(2*x - x^2 + (-2*x + 2*x^2)*Log[x] + (30 + 3*x)*Log[x]^2))/(30*x^2*Log[x]^2 - 60*E^((-2*x + x^2 + 3*x*Log[x])/(30*Log[x]))*x^2*Log[x]^2 + 30*E^((-2*x + x^2 + 3*x*Log[x])/(15*Log[x]))*x^2*Log[x]^2),x]","\text{\$Aborted}","\frac{1}{x-x e^{\frac{1}{30} x \left(\frac{x-2}{\log (x)}+3\right)}}",1,"$Aborted","F",-1
8512,-1,0,27,180.2288238,"\int \frac{1+e^{512-512 x+192 x^2-32 x^3+2 x^4} \left(16-4 e^x\right)+4 x^2-e^x x^2+e^{256-256 x+96 x^2-16 x^3+x^4} \left(512-400 x+4 e^x x+96 x^2-8 x^3\right)}{16 e^{512-512 x+192 x^2-32 x^3+2 x^4}-16 e^{256-256 x+96 x^2-16 x^3+x^4} x+4 x^2} \, dx","Integrate[(1 + E^(512 - 512*x + 192*x^2 - 32*x^3 + 2*x^4)*(16 - 4*E^x) + 4*x^2 - E^x*x^2 + E^(256 - 256*x + 96*x^2 - 16*x^3 + x^4)*(512 - 400*x + 4*E^x*x + 96*x^2 - 8*x^3))/(16*E^(512 - 512*x + 192*x^2 - 32*x^3 + 2*x^4) - 16*E^(256 - 256*x + 96*x^2 - 16*x^3 + x^4)*x + 4*x^2),x]","\text{\$Aborted}","\frac{1}{4} \left(\frac{1}{2 e^{(x-4)^4}-x}-e^x\right)+x",1,"$Aborted","F",-1
8513,1,26,30,0.0446777,"\int \frac{3 e^{10}+x+3 x^2+e^5 (7+6 x)+e^5 \log (x)}{10 e^{10}+20 e^5 x+10 x^2} \, dx","Integrate[(3*E^10 + x + 3*x^2 + E^5*(7 + 6*x) + E^5*Log[x])/(10*E^10 + 20*E^5*x + 10*x^2),x]","\frac{1}{10} \left(3 x+\log (x)-\frac{e^5 (\log (x)+6)}{x+e^5}\right)","\frac{2}{5} \left(x+\frac{1}{4} \left(\frac{\log (x)+6}{\frac{e^5}{x}+1}-x\right)\right)",1,"(3*x + Log[x] - (E^5*(6 + Log[x]))/(E^5 + x))/10","A",1
8514,1,47,24,0.1022633,"\int \frac{-x^2-e^{10 x-2 x^2} \log (5)-x^2 \log (5)+e^{5 x-x^2} \left(-5 x^2+2 x^3-2 x \log (5)\right)}{x^3+e^{10 x-2 x^2} x \log (5)+x^3 \log (5)+e^{5 x-x^2} \left(x^2+2 x^2 \log (5)\right)} \, dx","Integrate[(-x^2 - E^(10*x - 2*x^2)*Log[5] - x^2*Log[5] + E^(5*x - x^2)*(-5*x^2 + 2*x^3 - 2*x*Log[5]))/(x^3 + E^(10*x - 2*x^2)*x*Log[5] + x^3*Log[5] + E^(5*x - x^2)*(x^2 + 2*x^2*Log[5])),x]","-\log \left(e^{x^2} x+e^{5 x}\right)+\log \left(e^{x^2} x+e^{x^2} x \log (5)+e^{5 x} \log (5)\right)-\log (x)","\log \left(\frac{8 \left(\frac{x}{x+e^{(5-x) x}}+\log (5)\right)}{x}\right)",1,"-Log[x] - Log[E^(5*x) + E^x^2*x] + Log[E^x^2*x + E^(5*x)*Log[5] + E^x^2*x*Log[5]]","A",1
8515,1,26,27,0.1613204,"\int \frac{1}{3} e^{-e^{e^x}} \left(-e^{e^{e^x}}-e^{1+x}+e^{e^x} \left(-6 e^x+e^{1+2 x}\right)\right) \, dx","Integrate[(-E^E^E^x - E^(1 + x) + E^E^x*(-6*E^x + E^(1 + 2*x)))/(3*E^E^E^x),x]","\frac{1}{3} \left(-e^{-e^{e^x}} \left(e^{x+1}-6\right)-x\right)","\frac{1}{3} \left(e^{-e^{e^x}} \left(6-e^{x+1}\right)-x\right)",1,"(-((-6 + E^(1 + x))/E^E^E^x) - x)/3","A",1
8516,1,21,21,0.1104211,"\int \frac{-5 x+6 x^3-x^3 \log (x)+(-30 x+5 x \log (x)) \log (6-\log (x))+\left(-12 x^3+2 x^3 \log (x)+(-60 x+10 x \log (x)) \log (6-\log (x))\right) \log \left(\frac{x^2+5 \log (6-\log (x))}{x}\right)}{\left(-6 x^2+x^2 \log (x)+(-30+5 \log (x)) \log (6-\log (x))\right) \log ^2\left(\frac{x^2+5 \log (6-\log (x))}{x}\right)} \, dx","Integrate[(-5*x + 6*x^3 - x^3*Log[x] + (-30*x + 5*x*Log[x])*Log[6 - Log[x]] + (-12*x^3 + 2*x^3*Log[x] + (-60*x + 10*x*Log[x])*Log[6 - Log[x]])*Log[(x^2 + 5*Log[6 - Log[x]])/x])/((-6*x^2 + x^2*Log[x] + (-30 + 5*Log[x])*Log[6 - Log[x]])*Log[(x^2 + 5*Log[6 - Log[x]])/x]^2),x]","\frac{x^2}{\log \left(x+\frac{5 \log (6-\log (x))}{x}\right)}","\frac{x^2}{\log \left(x+\frac{5 \log (6-\log (x))}{x}\right)}",1,"x^2/Log[x + (5*Log[6 - Log[x]])/x]","A",1
8517,1,32,26,0.0541742,"\int \frac{\left(8+2 e^2-2 x\right) \log (5)+\left(-54-3 e^4+24 x-3 x^2+e^2 (-24+6 x)-3 \log (4)\right) \log \left(18+e^4+e^2 (8-2 x)-8 x+x^2+\log (4)\right) \log ^2\left(\log \left(18+e^4+e^2 (8-2 x)-8 x+x^2+\log (4)\right)\right)}{\left(18+e^4+e^2 (8-2 x)-8 x+x^2+\log (4)\right) \log \left(18+e^4+e^2 (8-2 x)-8 x+x^2+\log (4)\right) \log ^2\left(\log \left(18+e^4+e^2 (8-2 x)-8 x+x^2+\log (4)\right)\right)} \, dx","Integrate[((8 + 2*E^2 - 2*x)*Log[5] + (-54 - 3*E^4 + 24*x - 3*x^2 + E^2*(-24 + 6*x) - 3*Log[4])*Log[18 + E^4 + E^2*(8 - 2*x) - 8*x + x^2 + Log[4]]*Log[Log[18 + E^4 + E^2*(8 - 2*x) - 8*x + x^2 + Log[4]]]^2)/((18 + E^4 + E^2*(8 - 2*x) - 8*x + x^2 + Log[4])*Log[18 + E^4 + E^2*(8 - 2*x) - 8*x + x^2 + Log[4]]*Log[Log[18 + E^4 + E^2*(8 - 2*x) - 8*x + x^2 + Log[4]]]^2),x]","\frac{\log (5)}{\log \left(\log \left(x^2-8 x-2 e^2 (x-4)+e^4+18+\log (4)\right)\right)}-3 x","-3 x+\frac{\log (5)}{\log \left(\log \left(\left(-x+e^2+4\right)^2+2+\log (4)\right)\right)}+2",1,"-3*x + Log[5]/Log[Log[18 + E^4 - 2*E^2*(-4 + x) - 8*x + x^2 + Log[4]]]","A",1
8518,1,85,27,0.2350696,"\int \frac{4 x \log ^2(5)+\left(2 x^2+4 x^3+2 x^2 \log ^2(5)\right) \log \left(\frac{x^2}{4}\right)+\left(4 \log ^2(5)+\left(2 x+4 x^2+2 x \log ^2(5)\right) \log \left(\frac{x^2}{4}\right)\right) \log \left(e^{\frac{-1+x+x^2}{\log ^2(5)}} \log \left(\frac{x^2}{4}\right)\right)}{x \log ^2(5) \log \left(\frac{x^2}{4}\right)} \, dx","Integrate[(4*x*Log[5]^2 + (2*x^2 + 4*x^3 + 2*x^2*Log[5]^2)*Log[x^2/4] + (4*Log[5]^2 + (2*x + 4*x^2 + 2*x*Log[5]^2)*Log[x^2/4])*Log[E^((-1 + x + x^2)/Log[5]^2)*Log[x^2/4]])/(x*Log[5]^2*Log[x^2/4]),x]","-\frac{\left(\log ^2(5) \log \left(\log \left(\frac{x^2}{4}\right)\right)+x \left(x+1+\log ^2(5)\right)\right) \left(\log ^2(5) \log \left(\log \left(\frac{x^2}{4}\right)\right)-2 \log ^2(5) \log \left(e^{\frac{x^2+x-1}{\log ^2(5)}} \log \left(\frac{x^2}{4}\right)\right)+x \left(x+1-\log ^2(5)\right)\right)}{\log ^4(5)}","\left(\log \left(e^{\frac{x^2+x-1}{\log ^2(5)}} \log \left(\frac{x^2}{4}\right)\right)+x\right)^2",1,"-(((x*(1 + x + Log[5]^2) + Log[5]^2*Log[Log[x^2/4]])*(x*(1 + x - Log[5]^2) + Log[5]^2*Log[Log[x^2/4]] - 2*Log[5]^2*Log[E^((-1 + x + x^2)/Log[5]^2)*Log[x^2/4]]))/Log[5]^4)","B",1
8519,1,40,29,0.3794479,"\int \frac{4 x-x^2+e^x \left(-4 x+x^2\right)+e^{e^x} \left(-x^2+e^{2 x} \left(-4 x+x^2\right)+e^x \left(x+4 x^2-x^3\right)\right)+\left(-2 e^x+2 x\right) \log \left(\frac{x}{5}\right)+\left(e^x x-x^2\right) \log \left(-e^x+x\right)}{e^x x-x^2} \, dx","Integrate[(4*x - x^2 + E^x*(-4*x + x^2) + E^E^x*(-x^2 + E^(2*x)*(-4*x + x^2) + E^x*(x + 4*x^2 - x^3)) + (-2*E^x + 2*x)*Log[x/5] + (E^x*x - x^2)*Log[-E^x + x])/(E^x*x - x^2),x]","e^{e^x} (x-4)-\log ^2\left(\frac{x}{5}\right)-4 \log \left(e^x-x\right)+x \log \left(x-e^x\right)","(x-4) \left(e^{e^x}+\log \left(x-e^x\right)\right)-\log ^2\left(\frac{x}{5}\right)",1,"E^E^x*(-4 + x) - 4*Log[E^x - x] - Log[x/5]^2 + x*Log[-E^x + x]","A",1
8520,1,19,20,0.0052305,"\int \frac{-4+4 \log (x)+(5-4 x) \log ^2(x)}{4 \log ^2(x)} \, dx","Integrate[(-4 + 4*Log[x] + (5 - 4*x)*Log[x]^2)/(4*Log[x]^2),x]","-\frac{x^2}{2}+\frac{5 x}{4}+\frac{x}{\log (x)}","\frac{1}{2} \left(\frac{5}{2}-x\right) x+\frac{x}{\log (x)}+5",1,"(5*x)/4 - x^2/2 + x/Log[x]","A",1
8521,1,22,25,0.1226626,"\int e^{-10-2 e^{2 x^2}} \left(-14 e^{10+2 e^{2 x^2}}+9 x^2-24 e^{2 x^2} x^4\right) \, dx","Integrate[E^(-10 - 2*E^(2*x^2))*(-14*E^(10 + 2*E^(2*x^2)) + 9*x^2 - 24*E^(2*x^2)*x^4),x]","3 e^{-2 \left(e^{2 x^2}+5\right)} x^3-14 x","x-3 x \left(5-e^{-2 e^{2 x^2}-10} x^2\right)",1,"-14*x + (3*x^3)/E^(2*(5 + E^(2*x^2)))","A",1
8522,1,26,26,0.0691726,"\int e^{-e^{4 x}} \left(e^{2 e^{-e^{4 x}} \left(x+e^{e^{4 x}} \log (2)\right)} \left(2-8 e^{4 x} x\right)+e^{e^{4 x}} \left(6 e^{6 x}+8 x+e^{3 x} (4+12 x)\right)+e^{e^{-e^{4 x}} \left(x+e^{e^{4 x}} \log (2)\right)} \left(-2 e^{3 x}+e^{e^{4 x}} \left(-4-6 e^{3 x}\right)-4 x+e^{4 x} \left(8 e^{3 x} x+16 x^2\right)\right)\right) \, dx","Integrate[(E^((2*(x + E^E^(4*x)*Log[2]))/E^E^(4*x))*(2 - 8*E^(4*x)*x) + E^E^(4*x)*(6*E^(6*x) + 8*x + E^(3*x)*(4 + 12*x)) + E^((x + E^E^(4*x)*Log[2])/E^E^(4*x))*(-2*E^(3*x) + E^E^(4*x)*(-4 - 6*E^(3*x)) - 4*x + E^(4*x)*(8*E^(3*x)*x + 16*x^2)))/E^E^(4*x),x]","\left(2 x+e^{3 x}-2 e^{e^{-e^{4 x}} x}\right)^2","\left(2 x+e^{3 x}-2 e^{e^{-e^{4 x}} x}\right)^2",1,"(E^(3*x) - 2*E^(x/E^E^(4*x)) + 2*x)^2","A",1
8523,1,24,27,0.6323914,"\int \frac{\left(80-40 x-2 x^2+x^3\right) \log (-2+x)+e^{3 e^x+x} \left(-60 x^2+30 x^3\right) \log (-2+x)+\left(-40 x-10 e^{3 e^x} x^2-x^3\right) \log \left(\frac{40+10 e^{3 e^x} x+x^2}{x}\right)}{e^{3 e^x} \left(-20 x^2+10 x^3\right) \log ^2(-2+x)+\left(-80 x+40 x^2-2 x^3+x^4\right) \log ^2(-2+x)} \, dx","Integrate[((80 - 40*x - 2*x^2 + x^3)*Log[-2 + x] + E^(3*E^x + x)*(-60*x^2 + 30*x^3)*Log[-2 + x] + (-40*x - 10*E^(3*E^x)*x^2 - x^3)*Log[(40 + 10*E^(3*E^x)*x + x^2)/x])/(E^(3*E^x)*(-20*x^2 + 10*x^3)*Log[-2 + x]^2 + (-80*x + 40*x^2 - 2*x^3 + x^4)*Log[-2 + x]^2),x]","\frac{\log \left(x+10 e^{3 e^x}+\frac{40}{x}\right)}{\log (x-2)}","\frac{\log \left(10 \left(e^{3 e^x}+\frac{4}{x}\right)+x\right)}{\log (x-2)}-5",1,"Log[10*E^(3*E^x) + 40/x + x]/Log[-2 + x]","A",1
8524,1,12,16,0.0026719,"\int \left(20 e^x-20 \log (x)\right) \, dx","Integrate[20*E^x - 20*Log[x],x]","20 \left(x+e^x+x (-\log (x))\right)","20 x \left(\frac{e^x}{x}-\log (x)+1\right)",1,"20*(E^x + x - x*Log[x])","A",1
8525,1,23,32,0.0013431,"\int \frac{1}{5} \left(7+e^3+14 x-15 x^2\right) \, dx","Integrate[(7 + E^3 + 14*x - 15*x^2)/5,x]","\frac{1}{5} \left(-5 x^3+7 x^2+e^3 x+7 x\right)","x \left(2-x \left(x+\frac{1}{5} \left(\frac{3}{x}-\frac{2 x+e^3}{x}\right)-1\right)\right)",1,"(7*x + E^3*x + 7*x^2 - 5*x^3)/5","A",1
8526,1,9,21,0.0000796,"\int (-2-2 x) \, dx","Integrate[-2 - 2*x,x]","-x^2-2 x","-x^2-2 x-\frac{2}{\left(3-81 e^5\right)^2}+5",1,"-2*x - x^2","A",1
8527,1,42,23,0.0214889,"\int \frac{10 x+\left(3 x+2 e^2 x+3 x^2\right) \log (5)-2 x \log (5) \log (x)}{2 \log (5)} \, dx","Integrate[(10*x + (3*x + 2*E^2*x + 3*x^2)*Log[5] - 2*x*Log[5]*Log[x])/(2*Log[5]),x]","\frac{x^3 \log (5)+5 x^2-x^2 \log (5) \log (x)+e^2 x^2 \log (5)+2 x^2 \log (5)}{\log (25)}","\frac{1}{2} x^2 \left(x-\log (x)+e^2+2+\frac{5}{\log (5)}\right)",1,"(5*x^2 + 2*x^2*Log[5] + E^2*x^2*Log[5] + x^3*Log[5] - x^2*Log[5]*Log[x])/Log[25]","A",1
8528,0,0,33,0.4916448,"\int \frac{-3+x-3 x^2+2 x^3+e^3 (-1+2 x)+e^{2 x} \left(x+x^2\right)+e^x \left(-2 x+2 x^2+x^3+e^3 (1+x)\right)}{10+2 e^6-12 x+2 x^2+2 e^{2 x} x^2-4 x^3+2 x^4+e^3 \left(-4 x+4 x^2\right)+e^x \left(4 e^3 x-4 x^2+4 x^3\right)} \, dx","Integrate[(-3 + x - 3*x^2 + 2*x^3 + E^3*(-1 + 2*x) + E^(2*x)*(x + x^2) + E^x*(-2*x + 2*x^2 + x^3 + E^3*(1 + x)))/(10 + 2*E^6 - 12*x + 2*x^2 + 2*E^(2*x)*x^2 - 4*x^3 + 2*x^4 + E^3*(-4*x + 4*x^2) + E^x*(4*E^3*x - 4*x^2 + 4*x^3)),x]","\int \frac{-3+x-3 x^2+2 x^3+e^3 (-1+2 x)+e^{2 x} \left(x+x^2\right)+e^x \left(-2 x+2 x^2+x^3+e^3 (1+x)\right)}{10+2 e^6-12 x+2 x^2+2 e^{2 x} x^2-4 x^3+2 x^4+e^3 \left(-4 x+4 x^2\right)+e^x \left(4 e^3 x-4 x^2+4 x^3\right)} \, dx","\frac{1}{4} \log \left(-\left(-\left(\left(x+e^x\right) x\right)+x-e^3\right)^2-5 (1-x)+x\right)",1,"Integrate[(-3 + x - 3*x^2 + 2*x^3 + E^3*(-1 + 2*x) + E^(2*x)*(x + x^2) + E^x*(-2*x + 2*x^2 + x^3 + E^3*(1 + x)))/(10 + 2*E^6 - 12*x + 2*x^2 + 2*E^(2*x)*x^2 - 4*x^3 + 2*x^4 + E^3*(-4*x + 4*x^2) + E^x*(4*E^3*x - 4*x^2 + 4*x^3)), x]","F",-1
8529,1,55,25,0.6017052,"\int \frac{-405 x \log (x)+90 x \log (x) \log (\log (x))-5 x \log (x) \log ^2(\log (x))+e^{-\frac{4 e^x}{-9+\log (\log (x))}} \left(-20 e^x-180 e^x x \log (x)+20 e^x x \log (x) \log (\log (x))\right)}{\left(729 e^2 x-486 e x^2+81 x^3\right) \log (x)+\left(-162 e^2 x+108 e x^2-18 x^3\right) \log (x) \log (\log (x))+\left(9 e^2 x-6 e x^2+x^3\right) \log (x) \log ^2(\log (x))+e^{-\frac{8 e^x}{-9+\log (\log (x))}} \left(81 x \log (x)-18 x \log (x) \log (\log (x))+x \log (x) \log ^2(\log (x))\right)+e^{-\frac{4 e^x}{-9+\log (\log (x))}} \left(\left(-486 e x+162 x^2\right) \log (x)+\left(108 e x-36 x^2\right) \log (x) \log (\log (x))+\left(-6 e x+2 x^2\right) \log (x) \log ^2(\log (x))\right)} \, dx","Integrate[(-405*x*Log[x] + 90*x*Log[x]*Log[Log[x]] - 5*x*Log[x]*Log[Log[x]]^2 + (-20*E^x - 180*E^x*x*Log[x] + 20*E^x*x*Log[x]*Log[Log[x]])/E^((4*E^x)/(-9 + Log[Log[x]])))/((729*E^2*x - 486*E*x^2 + 81*x^3)*Log[x] + (-162*E^2*x + 108*E*x^2 - 18*x^3)*Log[x]*Log[Log[x]] + (9*E^2*x - 6*E*x^2 + x^3)*Log[x]*Log[Log[x]]^2 + (81*x*Log[x] - 18*x*Log[x]*Log[Log[x]] + x*Log[x]*Log[Log[x]]^2)/E^((8*E^x)/(-9 + Log[Log[x]])) + ((-486*E*x + 162*x^2)*Log[x] + (108*E*x - 36*x^2)*Log[x]*Log[Log[x]] + (-6*E*x + 2*x^2)*Log[x]*Log[Log[x]]^2)/E^((4*E^x)/(-9 + Log[Log[x]]))),x]","-\frac{5 e^{\frac{4 e^x}{\log (\log (x))-9}}}{x \left(-e^{\frac{4 e^x}{\log (\log (x))-9}}\right)+3 e^{\frac{4 e^x}{\log (\log (x))-9}+1}-1}","\frac{5}{x+e^{\frac{4 e^x}{9-\log (\log (x))}}-3 e}",1,"(-5*E^((4*E^x)/(-9 + Log[Log[x]])))/(-1 + 3*E^(1 + (4*E^x)/(-9 + Log[Log[x]])) - E^((4*E^x)/(-9 + Log[Log[x]]))*x)","B",1
8530,1,21,26,0.362229,"\int \frac{e^{-x} \left(27+45 x+21 x^2+3 x^3+e^x \left(-20 x^2-12 x^3-2 x^4\right)\right)}{9 x^2+6 x^3+x^4} \, dx","Integrate[(27 + 45*x + 21*x^2 + 3*x^3 + E^x*(-20*x^2 - 12*x^3 - 2*x^4))/(E^x*(9*x^2 + 6*x^3 + x^4)),x]","-2 x+\frac{2}{x+3}-\frac{3 e^{-x}}{x}","-2 x+\frac{2}{x+3}-\frac{3 e^{-x}}{x}+4-5 \log (5)",1,"-3/(E^x*x) - 2*x + 2/(3 + x)","A",1
8531,1,30,25,0.2112416,"\int \frac{e^{\frac{-4-9 x-8 x^2+x^3}{2 x+2 x^2}} \left(4+12 x+9 x^2+6 x^3+x^4\right)}{4+8 x+4 x^2} \, dx","Integrate[(E^((-4 - 9*x - 8*x^2 + x^3)/(2*x + 2*x^2))*(4 + 12*x + 9*x^2 + 6*x^3 + x^4))/(4 + 8*x + 4*x^2),x]","\frac{1}{2} e^{\frac{x}{2}+\frac{2}{x+1}-\frac{2}{x}-\frac{9}{2}} x^2","\frac{1}{2} e^{\frac{1}{2} \left(-\frac{4}{x^2+x}+x-9\right)} x^2",1,"(E^(-9/2 - 2/x + x/2 + 2/(1 + x))*x^2)/2","A",1
8532,1,45,32,0.0459811,"\int \frac{-576 x^2+192 x^3+\left(-144+96 x-144 x^2-624 x^3+240 x^4\right) \log \left(1+x^2\right)+\left(120 x^2+120 x^4\right) \log ^2\left(1+x^2\right)+\left(225 x^2+225 x^4\right) \log ^3\left(1+x^2\right)}{\left(144 x^2-96 x^3+160 x^4-96 x^5+16 x^6\right) \log ^3\left(1+x^2\right)} \, dx","Integrate[(-576*x^2 + 192*x^3 + (-144 + 96*x - 144*x^2 - 624*x^3 + 240*x^4)*Log[1 + x^2] + (120*x^2 + 120*x^4)*Log[1 + x^2]^2 + (225*x^2 + 225*x^4)*Log[1 + x^2]^3)/((144*x^2 - 96*x^3 + 160*x^4 - 96*x^5 + 16*x^6)*Log[1 + x^2]^3),x]","\frac{3}{16} \left(-\frac{16}{x (x-3) \log ^2\left(x^2+1\right)}-\frac{40}{(x-3) \log \left(x^2+1\right)}-\frac{75}{x-3}\right)","\frac{3 \left(\frac{1}{4} \left(\frac{4}{\log \left(x^2+1\right)}+x\right)+x\right)^2}{(3-x) x}",1,"(3*(-75/(-3 + x) - 16/((-3 + x)*x*Log[1 + x^2]^2) - 40/((-3 + x)*Log[1 + x^2])))/16","A",1
8533,1,27,29,2.1056494,"\int \frac{-45+e^x (-9+9 x)+9 \log (3)+e^{\frac{1}{9} \left(16 x+8 x^2+x^3\right)} \left(-80-80 x-15 x^2+e^x \left(-7-16 x-3 x^2\right)+\left(16+16 x+3 x^2\right) \log (3)\right)}{225+9 e^{2 x}+e^x (90-18 \log (3))-90 \log (3)+9 \log ^2(3)} \, dx","Integrate[(-45 + E^x*(-9 + 9*x) + 9*Log[3] + E^((16*x + 8*x^2 + x^3)/9)*(-80 - 80*x - 15*x^2 + E^x*(-7 - 16*x - 3*x^2) + (16 + 16*x + 3*x^2)*Log[3]))/(225 + 9*E^(2*x) + E^x*(90 - 18*Log[3]) - 90*Log[3] + 9*Log[3]^2),x]","-\frac{x+e^{\frac{1}{9} x (x+4)^2}}{e^x+5-\log (3)}","\frac{x+e^{\left(\frac{x-2}{3}+2\right)^2 x}}{-e^x-5+\log (3)}",1,"-((E^((x*(4 + x)^2)/9) + x)/(5 + E^x - Log[3]))","A",1
8534,1,34,20,0.011128,"\int \left(514-342 x+e^{24} (-27+18 x)+(27-18 x) \log (\log (3))\right) \, dx","Integrate[514 - 342*x + E^24*(-27 + 18*x) + (27 - 18*x)*Log[Log[3]],x]","9 e^{24} x^2-9 x^2 (19+\log (\log (3)))-27 e^{24} x+514 x+27 x \log (\log (3))","x+9 (3-x) x \left(19-e^{24}+\log (\log (3))\right)",1,"514*x - 27*E^24*x + 9*E^24*x^2 + 27*x*Log[Log[3]] - 9*x^2*(19 + Log[Log[3]])","A",1
8535,1,40,24,0.1074219,"\int \frac{-192+144 x-36 x^2+3 x^3+e^{10-2 x} \left(-384+288 x-72 x^2+6 x^3\right)+e^{5-x} \left(72-42 x+6 x^2\right) \log (5)+6 \log ^2(5)}{-64+48 x-12 x^2+x^3} \, dx","Integrate[(-192 + 144*x - 36*x^2 + 3*x^3 + E^(10 - 2*x)*(-384 + 288*x - 72*x^2 + 6*x^3) + E^(5 - x)*(72 - 42*x + 6*x^2)*Log[5] + 6*Log[5]^2)/(-64 + 48*x - 12*x^2 + x^3),x]","3 x-3 e^{10-2 x}-\frac{3 \log ^2(5)}{(x-4)^2}-\frac{6 e^{5-x} \log (5)}{x-4}","3 x-3 \left(e^{5-x}+\frac{\log (5)}{x-4}\right)^2",1,"-3*E^(10 - 2*x) + 3*x - (6*E^(5 - x)*Log[5])/(-4 + x) - (3*Log[5]^2)/(-4 + x)^2","A",1
8536,0,0,25,1.666328,"\int \frac{\exp \left(\frac{-3 x^3+\left(x-4 x^2\right) \log (3)}{3 x+4 \log (3)}\right) \left(90 x^2-180 x^4+\left(240 x-480 x^3\right) \log (3)+\left(160+40 x-320 x^2\right) \log ^2(3)\right)}{9 e^2 x^2+24 e^2 x \log (3)+16 e^2 \log ^2(3)} \, dx","Integrate[(E^((-3*x^3 + (x - 4*x^2)*Log[3])/(3*x + 4*Log[3]))*(90*x^2 - 180*x^4 + (240*x - 480*x^3)*Log[3] + (160 + 40*x - 320*x^2)*Log[3]^2))/(9*E^2*x^2 + 24*E^2*x*Log[3] + 16*E^2*Log[3]^2),x]","\int \frac{\exp \left(\frac{-3 x^3+\left(x-4 x^2\right) \log (3)}{3 x+4 \log (3)}\right) \left(90 x^2-180 x^4+\left(240 x-480 x^3\right) \log (3)+\left(160+40 x-320 x^2\right) \log ^2(3)\right)}{9 e^2 x^2+24 e^2 x \log (3)+16 e^2 \log ^2(3)} \, dx","10 x e^{-x^2+\frac{x}{\frac{3 x}{\log (3)}+4}-2}",1,"Integrate[(E^((-3*x^3 + (x - 4*x^2)*Log[3])/(3*x + 4*Log[3]))*(90*x^2 - 180*x^4 + (240*x - 480*x^3)*Log[3] + (160 + 40*x - 320*x^2)*Log[3]^2))/(9*E^2*x^2 + 24*E^2*x*Log[3] + 16*E^2*Log[3]^2), x]","F",-1
8537,1,25,21,0.123349,"\int \frac{4 x^2+\left(-6 x+2 x^2\right) \log \left(\frac{2}{-3+x}\right)+\left(6 x-2 x^2\right) \log ^5\left(\frac{2}{-3+x}\right)}{(-9+3 x) \log ^5\left(\frac{2}{-3+x}\right)} \, dx","Integrate[(4*x^2 + (-6*x + 2*x^2)*Log[2/(-3 + x)] + (6*x - 2*x^2)*Log[2/(-3 + x)]^5)/((-9 + 3*x)*Log[2/(-3 + x)]^5),x]","\frac{1}{3} \left(-x^2+\frac{x^2}{\log ^4\left(\frac{2}{x-3}\right)}+9\right)","\frac{1}{3} x \left(\frac{x}{\log ^4\left(\frac{2}{x-3}\right)}-x\right)",1,"(9 - x^2 + x^2/Log[2/(-3 + x)]^4)/3","A",1
8538,1,18,17,0.0713267,"\int \frac{e^x \left(-15-23 x+14 x^2+2 x^4+2 x^5\right)}{x^4} \, dx","Integrate[(E^x*(-15 - 23*x + 14*x^2 + 2*x^4 + 2*x^5))/x^4,x]","e^x \left(\frac{5}{x^3}+\frac{14}{x^2}+2 x\right)","e^x \left(2-\frac{-14 x-5}{x^4}\right) x",1,"E^x*(5/x^3 + 14/x^2 + 2*x)","A",1
8539,1,25,34,0.2425148,"\int \frac{270-150 x+399 x^2-180 x^3+25 x^4+e^{2 x} \left(324-180 x+25 x^2\right)+e^x \left(465+303 x-285 x^2+50 x^3\right)}{e^{5+2 x} \left(324-180 x+25 x^2\right)+e^{5+x} \left(648 x-360 x^2+50 x^3\right)+e^5 \left(324 x^2-180 x^3+25 x^4\right)} \, dx","Integrate[(270 - 150*x + 399*x^2 - 180*x^3 + 25*x^4 + E^(2*x)*(324 - 180*x + 25*x^2) + E^x*(465 + 303*x - 285*x^2 + 50*x^3))/(E^(5 + 2*x)*(324 - 180*x + 25*x^2) + E^(5 + x)*(648*x - 360*x^2 + 50*x^3) + E^5*(324*x^2 - 180*x^3 + 25*x^4)),x]","\frac{x-\frac{15 (x-1)}{\left(x+e^x\right) (5 x-18)}}{e^5}","10-\frac{\frac{3 (1-x)}{\left(\frac{18}{5}-x\right) \left(x+e^x\right)}-x}{e^5}",1,"(x - (15*(-1 + x))/((E^x + x)*(-18 + 5*x)))/E^5","A",1
8540,1,8,12,0.0688854,"\int \frac{1+2 x^2}{-3 x+x^3+x \log (x)} \, dx","Integrate[(1 + 2*x^2)/(-3*x + x^3 + x*Log[x]),x]","\log \left(x^2+\log (x)-3\right)","\log \left(-x^2-\log (x)+3\right)",1,"Log[-3 + x^2 + Log[x]]","A",1
8541,1,72,25,0.0959373,"\int \frac{720+476 x-1680 x^2-1404 x^3-358 x^4-30 x^5+\left(40-202 x-180 x^2-47 x^3-4 x^4\right) \log (4)}{128+96 x+24 x^2+2 x^3} \, dx","Integrate[(720 + 476*x - 1680*x^2 - 1404*x^3 - 358*x^4 - 30*x^5 + (40 - 202*x - 180*x^2 - 47*x^3 - 4*x^4)*Log[4])/(128 + 96*x + 24*x^2 + 2*x^3),x]","\frac{1}{2} \left(-10 x^3-x^2 (\log (16)-1)-\frac{2 \left(x^2 (304+94 \log (4)-56 \log (16))+x (2318-477 \log (4)-192 \log (16)+240 \log (64))+4624+720 \log (64)-2448 \log (4)\right)}{(x+4)^2}+x (12+\log (4))\right)","\left(1-x \left(x+\frac{3}{(x+4)^2}-\frac{1}{2}\right)\right) (5 x+2+\log (4))",1,"(-10*x^3 + x*(12 + Log[4]) - x^2*(-1 + Log[16]) - (2*(4624 - 2448*Log[4] + x^2*(304 + 94*Log[4] - 56*Log[16]) + 720*Log[64] + x*(2318 - 477*Log[4] - 192*Log[16] + 240*Log[64])))/(4 + x)^2)/2","B",1
8542,1,10,15,0.0011604,"\int \frac{-3-8 x^2}{x} \, dx","Integrate[(-3 - 8*x^2)/x,x]","-4 x^2-3 \log (x)","-\log \left(3125 x^3\right)-4 x^2+1",1,"-4*x^2 - 3*Log[x]","A",1
8543,1,43,34,0.4349235,"\int \frac{\exp \left(\frac{4+5 x-40 x^2+8 e^x x^2+\left(13 x^2-e^x x^2\right) \log (x)-x^2 \log ^2(x)}{-8 x^2+x^2 \log (x)}\right) \left(60+35 x-64 x^2-64 e^x x^3+\left(-8-5 x+16 x^2+16 e^x x^3\right) \log (x)+\left(-x^2-e^x x^3\right) \log ^2(x)\right)}{64 x^3-16 x^3 \log (x)+x^3 \log ^2(x)} \, dx","Integrate[(E^((4 + 5*x - 40*x^2 + 8*E^x*x^2 + (13*x^2 - E^x*x^2)*Log[x] - x^2*Log[x]^2)/(-8*x^2 + x^2*Log[x]))*(60 + 35*x - 64*x^2 - 64*E^x*x^3 + (-8 - 5*x + 16*x^2 + 16*E^x*x^3)*Log[x] + (-x^2 - E^x*x^3)*Log[x]^2))/(64*x^3 - 16*x^3*Log[x] + x^3*Log[x]^2),x]","\frac{\exp \left(\frac{8 \left(e^x-5\right) x^2-\left(e^x-5\right) x^2 \log (x)+5 x+4}{x^2 (\log (x)-8)}\right)}{x}","\frac{e^{-e^x+\frac{\frac{4}{x}+5}{x-x (9-\log (x))}+5}}{x}",1,"E^((4 + 5*x + 8*(-5 + E^x)*x^2 - (-5 + E^x)*x^2*Log[x])/(x^2*(-8 + Log[x])))/x","A",1
8544,1,15,23,0.0067028,"\int \frac{-70-20 x-x^2}{300+60 x+3 x^2} \, dx","Integrate[(-70 - 20*x - x^2)/(300 + 60*x + 3*x^2),x]","\frac{1}{3} \left(-x-\frac{30}{x+10}\right)","\frac{1}{3} \left(-x+3 \left(\frac{x}{x+10}+2\right)-\log (5)\right)",1,"(-x - 30/(10 + x))/3","A",1
8545,1,77,36,0.3321221,"\int \frac{-2+2 x+20 x^3+30 x^4-80 x^6-100 x^7-225 x^8+160 x^9-40 x^{10}-150 x^{11}-160 x^{12}+240 x^{13}+64 x^{15}-64 x^{16}+e^{36/x} \left(20 x^9-20 x^{10}\right)+e^{40/x} \left(-2 x^{10}+2 x^{11}\right)+e^{28/x} \left(240 x^7-240 x^8-160 x^{10}+160 x^{11}\right)+e^{20/x} \left(504 x^5-504 x^6-1920 x^8+1020 x^9+480 x^{11}-480 x^{12}\right)+e^{32/x} \left(-90 x^8+90 x^9+20 x^{11}-20 x^{12}\right)+e^{24/x} \left(-420 x^6+420 x^7+720 x^9-550 x^{10}-80 x^{12}+80 x^{13}\right)+e^{12/x} \left(240 x^3-240 x^4-2720 x^6+520 x^7+3520 x^9-1360 x^{10}-640 x^{12}+640 x^{13}\right)+e^{4/x} \left(20 x-20 x^2-320 x^4-100 x^5+1120 x^7+880 x^8+250 x^9-1280 x^{10}+560 x^{11}+320 x^{13}-320 x^{14}\right)+e^{16/x} \left(-420 x^4+420 x^5+3000 x^7-1050 x^8-1840 x^{10}+1180 x^{11}+160 x^{13}-160 x^{14}\right)+e^{8/x} \left(-90 x^2+90 x^3+1360 x^5-10 x^6-3120 x^8-200 x^9-25 x^{10}+1600 x^{11}-1000 x^{12}-160 x^{14}+160 x^{15}\right)}{1-10 x^3+40 x^6-80 x^9-10 e^{36/x} x^9+e^{40/x} x^{10}+80 x^{12}-32 x^{15}+e^{28/x} \left(-120 x^7+80 x^{10}\right)+e^{20/x} \left(-252 x^5+560 x^8-240 x^{11}\right)+e^{32/x} \left(45 x^8-10 x^{11}\right)+e^{24/x} \left(210 x^6-280 x^9+40 x^{12}\right)+e^{12/x} \left(-120 x^3+560 x^6-800 x^9+320 x^{12}\right)+e^{4/x} \left(-10 x+80 x^4-240 x^7+320 x^{10}-160 x^{13}\right)+e^{16/x} \left(210 x^4-700 x^7+600 x^{10}-80 x^{13}\right)+e^{8/x} \left(45 x^2-280 x^5+600 x^8-480 x^{11}+80 x^{14}\right)} \, dx","Integrate[(-2 + 2*x + 20*x^3 + 30*x^4 - 80*x^6 - 100*x^7 - 225*x^8 + 160*x^9 - 40*x^10 - 150*x^11 - 160*x^12 + 240*x^13 + 64*x^15 - 64*x^16 + E^(36/x)*(20*x^9 - 20*x^10) + E^(40/x)*(-2*x^10 + 2*x^11) + E^(28/x)*(240*x^7 - 240*x^8 - 160*x^10 + 160*x^11) + E^(20/x)*(504*x^5 - 504*x^6 - 1920*x^8 + 1020*x^9 + 480*x^11 - 480*x^12) + E^(32/x)*(-90*x^8 + 90*x^9 + 20*x^11 - 20*x^12) + E^(24/x)*(-420*x^6 + 420*x^7 + 720*x^9 - 550*x^10 - 80*x^12 + 80*x^13) + E^(12/x)*(240*x^3 - 240*x^4 - 2720*x^6 + 520*x^7 + 3520*x^9 - 1360*x^10 - 640*x^12 + 640*x^13) + E^(4/x)*(20*x - 20*x^2 - 320*x^4 - 100*x^5 + 1120*x^7 + 880*x^8 + 250*x^9 - 1280*x^10 + 560*x^11 + 320*x^13 - 320*x^14) + E^(16/x)*(-420*x^4 + 420*x^5 + 3000*x^7 - 1050*x^8 - 1840*x^10 + 1180*x^11 + 160*x^13 - 160*x^14) + E^(8/x)*(-90*x^2 + 90*x^3 + 1360*x^5 - 10*x^6 - 3120*x^8 - 200*x^9 - 25*x^10 + 1600*x^11 - 1000*x^12 - 160*x^14 + 160*x^15))/(1 - 10*x^3 + 40*x^6 - 80*x^9 - 10*E^(36/x)*x^9 + E^(40/x)*x^10 + 80*x^12 - 32*x^15 + E^(28/x)*(-120*x^7 + 80*x^10) + E^(20/x)*(-252*x^5 + 560*x^8 - 240*x^11) + E^(32/x)*(45*x^8 - 10*x^11) + E^(24/x)*(210*x^6 - 280*x^9 + 40*x^12) + E^(12/x)*(-120*x^3 + 560*x^6 - 800*x^9 + 320*x^12) + E^(4/x)*(-10*x + 80*x^4 - 240*x^7 + 320*x^10 - 160*x^13) + E^(16/x)*(210*x^4 - 700*x^7 + 600*x^10 - 80*x^13) + E^(8/x)*(45*x^2 - 280*x^5 + 600*x^8 - 480*x^11 + 80*x^14)),x]","x^2-\frac{25 x^9}{\left(-2 x^3+e^{8/x} x^2-2 e^{4/x} x+1\right)^4}+\frac{10 x^5}{\left(-2 x^3+e^{8/x} x^2-2 e^{4/x} x+1\right)^2}-2 x","x \left(-\left(1-\frac{5}{\left(2 x-\left(e^{4/x}-\frac{1}{x}\right)^2\right)^2}\right)^2+x-1\right)",1,"-2*x + x^2 - (25*x^9)/(1 - 2*E^(4/x)*x + E^(8/x)*x^2 - 2*x^3)^4 + (10*x^5)/(1 - 2*E^(4/x)*x + E^(8/x)*x^2 - 2*x^3)^2","B",1
8546,1,27,31,0.0308996,"\int \frac{e^{-2/x} \left(-12 x+e^{\frac{2}{x}+x} \left(e^2 (2-x)+4 x^3\right)\right)}{2 x^3} \, dx","Integrate[(-12*x + E^(2/x + x)*(E^2*(2 - x) + 4*x^3))/(2*E^(2/x)*x^3),x]","-\frac{e^{x+2}}{2 x^2}-3 e^{-2/x}+2 e^x","\frac{2 e^x \left(x-\frac{e^2}{4 x}\right)}{x}-3 e^{-2/x}-4",1,"-3/E^(2/x) + 2*E^x - E^(2 + x)/(2*x^2)","A",1
8547,1,18,22,0.0171312,"\int \left(3 x^2+e^{e^{e^x}} \left(5+5 e^{e^x+x} x\right)+5 \log (3)\right) \, dx","Integrate[3*x^2 + E^E^E^x*(5 + 5*E^(E^x + x)*x) + 5*Log[3],x]","x^3+5 e^{e^{e^x}} x+x \log (243)","x \left(x^2-5 \left(-e^{e^{e^x}}-\log (3)\right)\right)",1,"5*E^E^E^x*x + x^3 + x*Log[243]","A",1
8548,1,26,21,0.2513839,"\int \frac{-128 x+4 x^2+\left(-64-2 x^2\right) \log (x)+\left(-64+64 x-2 x^2+2 x^3+\left(64+2 x^2\right) \log (x)\right) \log (-1+x+\log (x))}{-32 x+32 x^2+x^3-x^4+\left(32 x-x^3\right) \log (x)+\left(32 x-32 x^2-x^3+x^4+\left(-32 x+x^3\right) \log (x)\right) \log (-1+x+\log (x))} \, dx","Integrate[(-128*x + 4*x^2 + (-64 - 2*x^2)*Log[x] + (-64 + 64*x - 2*x^2 + 2*x^3 + (64 + 2*x^2)*Log[x])*Log[-1 + x + Log[x]])/(-32*x + 32*x^2 + x^3 - x^4 + (32*x - x^3)*Log[x] + (32*x - 32*x^2 - x^3 + x^4 + (-32*x + x^3)*Log[x])*Log[-1 + x + Log[x]]),x]","2 \left(\log \left(32-x^2\right)-\log (x)+\log (1-\log (x+\log (x)-1))\right)","\log \left(\left(x-\frac{32}{x}\right)^2 (\log (x+\log (x)-1)-1)^2\right)",1,"2*(-Log[x] + Log[32 - x^2] + Log[1 - Log[-1 + x + Log[x]]])","A",1
8549,1,34,28,0.1603959,"\int \frac{-4+e^{e^x-x+x^2} \left(2-e^{2+2 x}+e^x \left(e^2 (2-2 x)-2 x\right)+2 x-4 x^2\right)+2 \log (5)+e^x \left(e^2 (-3+x)+e^2 \log (5)\right)}{4+e^{2 e^x-2 x+2 x^2}-4 x+x^2+(-4+2 x) \log (5)+\log ^2(5)+e^{e^x-x+x^2} (-4+2 x+2 \log (5))} \, dx","Integrate[(-4 + E^(E^x - x + x^2)*(2 - E^(2 + 2*x) + E^x*(E^2*(2 - 2*x) - 2*x) + 2*x - 4*x^2) + 2*Log[5] + E^x*(E^2*(-3 + x) + E^2*Log[5]))/(4 + E^(2*E^x - 2*x + 2*x^2) - 4*x + x^2 + (-4 + 2*x)*Log[5] + Log[5]^2 + E^(E^x - x + x^2)*(-4 + 2*x + 2*Log[5])),x]","\frac{e^x \left(2 x+e^{x+2}\right)}{e^{x^2+e^x}+e^x (x-2+\log (5))}","\frac{2 x+e^{x+2}}{x+e^{(x-1) x+e^x}-2+\log (5)}",1,"(E^x*(E^(2 + x) + 2*x))/(E^(E^x + x^2) + E^x*(-2 + x + Log[5]))","A",1
8550,1,39,27,0.4451795,"\int \frac{3 \log ^2(x)+\exp \left(\frac{-x^2+\left(6 x+13 x^2+18 x^3+12 x^4+3 x^5\right) \log (x)}{3 \log (x)}\right) \left(x-2 x \log (x)+\left(6+26 x+54 x^2+48 x^3+15 x^4\right) \log ^2(x)\right)}{3 \log ^2(x)} \, dx","Integrate[(3*Log[x]^2 + E^((-x^2 + (6*x + 13*x^2 + 18*x^3 + 12*x^4 + 3*x^5)*Log[x])/(3*Log[x]))*(x - 2*x*Log[x] + (6 + 26*x + 54*x^2 + 48*x^3 + 15*x^4)*Log[x]^2))/(3*Log[x]^2),x]","\exp \left(x^5+4 x^4+6 x^3+\frac{13 x^2}{3}-\frac{x^2}{3 \log (x)}+2 x\right)+x","x+e^{x+x \left((x+1)^4+\frac{1}{3} \left(x-\frac{x}{\log (x)}\right)\right)}",1,"E^(2*x + (13*x^2)/3 + 6*x^3 + 4*x^4 + x^5 - x^2/(3*Log[x])) + x","A",1
8551,1,30,23,1.2621085,"\int \frac{\exp \left(-\frac{19-40 x+20 x^2+e^{16} (-4+4 x)+e^{32} \left(-4+8 x-4 x^2\right)}{4-8 x+4 x^2}\right) \left(-1+e^{16} (-2+2 x)+\exp \left(\frac{19-40 x+20 x^2+e^{16} (-4+4 x)+e^{32} \left(-4+8 x-4 x^2\right)}{4-8 x+4 x^2}\right) \left(2-6 x+6 x^2-2 x^3\right)\right)}{-2+6 x-6 x^2+2 x^3} \, dx","Integrate[(-1 + E^16*(-2 + 2*x) + E^((19 - 40*x + 20*x^2 + E^16*(-4 + 4*x) + E^32*(-4 + 8*x - 4*x^2))/(4 - 8*x + 4*x^2))*(2 - 6*x + 6*x^2 - 2*x^3))/(E^((19 - 40*x + 20*x^2 + E^16*(-4 + 4*x) + E^32*(-4 + 8*x - 4*x^2))/(4 - 8*x + 4*x^2))*(-2 + 6*x - 6*x^2 + 2*x^3)),x]","e^{-\frac{e^{16}}{x-1}+\frac{1}{4 (x-1)^2}+e^{32}-5}-x","e^{\left(e^{16}-\frac{1}{2 (x-1)}\right)^2-5}-x",1,"E^(-5 + E^32 + 1/(4*(-1 + x)^2) - E^16/(-1 + x)) - x","A",1
8552,1,10,17,0.0009811,"\int \frac{e^{16}+x^2}{x^2} \, dx","Integrate[(E^16 + x^2)/x^2,x]","x-\frac{e^{16}}{x}","-\frac{e^{16}-x^2}{x}+e+10",1,"-(E^16/x) + x","A",1
8553,1,19,21,0.2303048,"\int \frac{e^{2+e^{\frac{e^x+2 x}{x}}+x+\frac{e^x+2 x}{x}} (-3+3 x) \log (2)}{x^2} \, dx","Integrate[(E^(2 + E^((E^x + 2*x)/x) + x + (E^x + 2*x)/x)*(-3 + 3*x)*Log[2])/x^2,x]","3 e^{e^{\frac{e^x}{x}+2}+2} \log (2)","3 e^{e^{\frac{2 x+e^x}{x}}+2} \log (2)",1,"3*E^(2 + E^(2 + E^x/x))*Log[2]","A",1
8554,1,14,17,0.0034585,"\int \frac{-50+x \log ^3(x)+162 \log ^4(x)}{x \log ^3(x)} \, dx","Integrate[(-50 + x*Log[x]^3 + 162*Log[x]^4)/(x*Log[x]^3),x]","x+81 \log ^2(x)+\frac{25}{\log ^2(x)}","x+\frac{\left(-9 \log ^2(x)-5\right)^2}{\log ^2(x)}",1,"x + 25/Log[x]^2 + 81*Log[x]^2","A",1
8555,1,23,26,0.2864375,"\int \frac{\exp \left(4-\frac{20+9 x-16 x^4-4 x^5+(4+x) \log (3 x)}{4+x}\right) \left(-16-24 x-x^2+256 x^4+128 x^5+16 x^6\right)}{16 x+8 x^2+x^3} \, dx","Integrate[(E^(4 - (20 + 9*x - 16*x^4 - 4*x^5 + (4 + x)*Log[3*x])/(4 + x))*(-16 - 24*x - x^2 + 256*x^4 + 128*x^5 + 16*x^6))/(16*x + 8*x^2 + x^3),x]","\frac{e^{4 x^4+\frac{16}{x+4}-5}}{3 x}","\frac{e^{-4 \left(\frac{x}{x+4}-x^4\right)-1}}{3 x}",1,"E^(-5 + 4*x^4 + 16/(4 + x))/(3*x)","A",1
8556,1,11,11,0.0011879,"\int \frac{1}{2} \left(4+\log \left(x^2\right)\right) \, dx","Integrate[(4 + Log[x^2])/2,x]","\frac{1}{2} x \log \left(x^2\right)+x","\frac{1}{2} x \left(\log \left(x^2\right)+2\right)",1,"x + (x*Log[x^2])/2","A",1
8557,1,16,13,0.0068492,"\int \frac{225+91 x+9 x^2}{225 x+90 x^2+9 x^3} \, dx","Integrate[(225 + 91*x + 9*x^2)/(225*x + 90*x^2 + 9*x^3),x]","\frac{1}{9} \left(9 \log (x)-\frac{1}{x+5}\right)","-\frac{1}{9 (x+5)}+\log (x)+5",1,"(-(5 + x)^(-1) + 9*Log[x])/9","A",1
8558,0,0,27,3.2402705,"\int \frac{\exp \left(-\frac{-20 x-e^x x-2 x^2+2 x \log \left(\frac{5}{2}\right)}{-10-x+\log \left(\frac{5}{2}\right)}\right) \left(400-720 x-156 x^2-8 x^3+\left(-80+152 x+16 x^2\right) \log \left(\frac{5}{2}\right)+(4-8 x) \log ^2\left(\frac{5}{2}\right)+e^x \left(-40 x-40 x^2-4 x^3+\left(4 x+4 x^2\right) \log \left(\frac{5}{2}\right)\right)\right)}{1500+300 x+15 x^2+(-300-30 x) \log \left(\frac{5}{2}\right)+15 \log ^2\left(\frac{5}{2}\right)} \, dx","Integrate[(400 - 720*x - 156*x^2 - 8*x^3 + (-80 + 152*x + 16*x^2)*Log[5/2] + (4 - 8*x)*Log[5/2]^2 + E^x*(-40*x - 40*x^2 - 4*x^3 + (4*x + 4*x^2)*Log[5/2]))/(E^((-20*x - E^x*x - 2*x^2 + 2*x*Log[5/2])/(-10 - x + Log[5/2]))*(1500 + 300*x + 15*x^2 + (-300 - 30*x)*Log[5/2] + 15*Log[5/2]^2)),x]","\int \frac{\exp \left(-\frac{-20 x-e^x x-2 x^2+2 x \log \left(\frac{5}{2}\right)}{-10-x+\log \left(\frac{5}{2}\right)}\right) \left(400-720 x-156 x^2-8 x^3+\left(-80+152 x+16 x^2\right) \log \left(\frac{5}{2}\right)+(4-8 x) \log ^2\left(\frac{5}{2}\right)+e^x \left(-40 x-40 x^2-4 x^3+\left(4 x+4 x^2\right) \log \left(\frac{5}{2}\right)\right)\right)}{1500+300 x+15 x^2+(-300-30 x) \log \left(\frac{5}{2}\right)+15 \log ^2\left(\frac{5}{2}\right)} \, dx","\frac{4}{15} x e^{-x \left(\frac{e^x}{x+10-\log \left(\frac{5}{2}\right)}+2\right)}",1,"Integrate[(400 - 720*x - 156*x^2 - 8*x^3 + (-80 + 152*x + 16*x^2)*Log[5/2] + (4 - 8*x)*Log[5/2]^2 + E^x*(-40*x - 40*x^2 - 4*x^3 + (4*x + 4*x^2)*Log[5/2]))/(E^((-20*x - E^x*x - 2*x^2 + 2*x*Log[5/2])/(-10 - x + Log[5/2]))*(1500 + 300*x + 15*x^2 + (-300 - 30*x)*Log[5/2] + 15*Log[5/2]^2)), x]","F",-1
8559,1,24,26,0.184312,"\int \frac{\exp \left(x-x^2 \log ^2\left(\frac{1}{16+8 \log (x-x \log (4))+\log ^2(x-x \log (4))}\right)\right) \left(4+\log (x-x \log (4))+4 x \log \left(\frac{1}{16+8 \log (x-x \log (4))+\log ^2(x-x \log (4))}\right)+(-8 x-2 x \log (x-x \log (4))) \log ^2\left(\frac{1}{16+8 \log (x-x \log (4))+\log ^2(x-x \log (4))}\right)\right)}{4+\log (x-x \log (4))} \, dx","Integrate[(E^(x - x^2*Log[(16 + 8*Log[x - x*Log[4]] + Log[x - x*Log[4]]^2)^(-1)]^2)*(4 + Log[x - x*Log[4]] + 4*x*Log[(16 + 8*Log[x - x*Log[4]] + Log[x - x*Log[4]]^2)^(-1)] + (-8*x - 2*x*Log[x - x*Log[4]])*Log[(16 + 8*Log[x - x*Log[4]] + Log[x - x*Log[4]]^2)^(-1)]^2))/(4 + Log[x - x*Log[4]]),x]","e^{x-x^2 \log ^2\left(\frac{1}{(\log (x-x \log (4))+4)^2}\right)}","e^{x-x^2 \log ^2\left(\frac{1}{(\log (x-x \log (4))+4)^2}\right)}+1",1,"E^(x - x^2*Log[(4 + Log[x - x*Log[4]])^(-2)]^2)","A",1
8560,0,0,23,1.1974735,"\int \frac{2916 x-2916 x^2+e^3 \left(-972 x^2+972 x^3\right)+e^6 \left(108 x^3-108 x^4\right)+e^9 \left(-4 x^4+4 x^5\right)+\left(x^2\right)^{10+2 x} \left(58320+8748 x+e^3 \left(-19440 x-2916 x^2\right)+e^6 \left(2160 x^2+324 x^3\right)+e^9 \left(-80 x^3-12 x^4\right)+\left(5832 x-1944 e^3 x^2+216 e^6 x^3-8 e^9 x^4\right) \log \left(x^2\right)\right)+\left(e^3 \left(972 x-972 x^2\right)+e^6 \left(-216 x^2+216 x^3\right)+e^9 \left(12 x^3-12 x^4\right)+\left(x^2\right)^{10+2 x} \left(e^3 (19440+2916 x)+e^6 \left(-4320 x-648 x^2\right)+e^9 \left(240 x^2+36 x^3\right)+\left(1944 e^3 x-432 e^6 x^2+24 e^9 x^3\right) \log \left(x^2\right)\right)\right) \log \left(x+\left(x^2\right)^{10+2 x}\right)+\left(e^6 \left(108 x-108 x^2\right)+e^9 \left(-12 x^2+12 x^3\right)+\left(x^2\right)^{10+2 x} \left(e^6 (2160+324 x)+e^9 \left(-240 x-36 x^2\right)+\left(216 e^6 x-24 e^9 x^2\right) \log \left(x^2\right)\right)\right) \log ^2\left(x+\left(x^2\right)^{10+2 x}\right)+\left(e^9 \left(4 x-4 x^2\right)+\left(x^2\right)^{10+2 x} \left(e^9 (80+12 x)+8 e^9 x \log \left(x^2\right)\right)\right) \log ^3\left(x+\left(x^2\right)^{10+2 x}\right)}{e^9 x^2+e^9 x \left(x^2\right)^{10+2 x}} \, dx","Integrate[(2916*x - 2916*x^2 + E^3*(-972*x^2 + 972*x^3) + E^6*(108*x^3 - 108*x^4) + E^9*(-4*x^4 + 4*x^5) + (x^2)^(10 + 2*x)*(58320 + 8748*x + E^3*(-19440*x - 2916*x^2) + E^6*(2160*x^2 + 324*x^3) + E^9*(-80*x^3 - 12*x^4) + (5832*x - 1944*E^3*x^2 + 216*E^6*x^3 - 8*E^9*x^4)*Log[x^2]) + (E^3*(972*x - 972*x^2) + E^6*(-216*x^2 + 216*x^3) + E^9*(12*x^3 - 12*x^4) + (x^2)^(10 + 2*x)*(E^3*(19440 + 2916*x) + E^6*(-4320*x - 648*x^2) + E^9*(240*x^2 + 36*x^3) + (1944*E^3*x - 432*E^6*x^2 + 24*E^9*x^3)*Log[x^2]))*Log[x + (x^2)^(10 + 2*x)] + (E^6*(108*x - 108*x^2) + E^9*(-12*x^2 + 12*x^3) + (x^2)^(10 + 2*x)*(E^6*(2160 + 324*x) + E^9*(-240*x - 36*x^2) + (216*E^6*x - 24*E^9*x^2)*Log[x^2]))*Log[x + (x^2)^(10 + 2*x)]^2 + (E^9*(4*x - 4*x^2) + (x^2)^(10 + 2*x)*(E^9*(80 + 12*x) + 8*E^9*x*Log[x^2]))*Log[x + (x^2)^(10 + 2*x)]^3)/(E^9*x^2 + E^9*x*(x^2)^(10 + 2*x)),x]","\int \frac{2916 x-2916 x^2+e^3 \left(-972 x^2+972 x^3\right)+e^6 \left(108 x^3-108 x^4\right)+e^9 \left(-4 x^4+4 x^5\right)+\left(x^2\right)^{10+2 x} \left(58320+8748 x+e^3 \left(-19440 x-2916 x^2\right)+e^6 \left(2160 x^2+324 x^3\right)+e^9 \left(-80 x^3-12 x^4\right)+\left(5832 x-1944 e^3 x^2+216 e^6 x^3-8 e^9 x^4\right) \log \left(x^2\right)\right)+\left(e^3 \left(972 x-972 x^2\right)+e^6 \left(-216 x^2+216 x^3\right)+e^9 \left(12 x^3-12 x^4\right)+\left(x^2\right)^{10+2 x} \left(e^3 (19440+2916 x)+e^6 \left(-4320 x-648 x^2\right)+e^9 \left(240 x^2+36 x^3\right)+\left(1944 e^3 x-432 e^6 x^2+24 e^9 x^3\right) \log \left(x^2\right)\right)\right) \log \left(x+\left(x^2\right)^{10+2 x}\right)+\left(e^6 \left(108 x-108 x^2\right)+e^9 \left(-12 x^2+12 x^3\right)+\left(x^2\right)^{10+2 x} \left(e^6 (2160+324 x)+e^9 \left(-240 x-36 x^2\right)+\left(216 e^6 x-24 e^9 x^2\right) \log \left(x^2\right)\right)\right) \log ^2\left(x+\left(x^2\right)^{10+2 x}\right)+\left(e^9 \left(4 x-4 x^2\right)+\left(x^2\right)^{10+2 x} \left(e^9 (80+12 x)+8 e^9 x \log \left(x^2\right)\right)\right) \log ^3\left(x+\left(x^2\right)^{10+2 x}\right)}{e^9 x^2+e^9 x \left(x^2\right)^{10+2 x}} \, dx","\left(-\log \left(\left(x^2\right)^{2 (x+5)}+x\right)+x-\frac{9}{e^3}\right)^4",1,"Integrate[(2916*x - 2916*x^2 + E^3*(-972*x^2 + 972*x^3) + E^6*(108*x^3 - 108*x^4) + E^9*(-4*x^4 + 4*x^5) + (x^2)^(10 + 2*x)*(58320 + 8748*x + E^3*(-19440*x - 2916*x^2) + E^6*(2160*x^2 + 324*x^3) + E^9*(-80*x^3 - 12*x^4) + (5832*x - 1944*E^3*x^2 + 216*E^6*x^3 - 8*E^9*x^4)*Log[x^2]) + (E^3*(972*x - 972*x^2) + E^6*(-216*x^2 + 216*x^3) + E^9*(12*x^3 - 12*x^4) + (x^2)^(10 + 2*x)*(E^3*(19440 + 2916*x) + E^6*(-4320*x - 648*x^2) + E^9*(240*x^2 + 36*x^3) + (1944*E^3*x - 432*E^6*x^2 + 24*E^9*x^3)*Log[x^2]))*Log[x + (x^2)^(10 + 2*x)] + (E^6*(108*x - 108*x^2) + E^9*(-12*x^2 + 12*x^3) + (x^2)^(10 + 2*x)*(E^6*(2160 + 324*x) + E^9*(-240*x - 36*x^2) + (216*E^6*x - 24*E^9*x^2)*Log[x^2]))*Log[x + (x^2)^(10 + 2*x)]^2 + (E^9*(4*x - 4*x^2) + (x^2)^(10 + 2*x)*(E^9*(80 + 12*x) + 8*E^9*x*Log[x^2]))*Log[x + (x^2)^(10 + 2*x)]^3)/(E^9*x^2 + E^9*x*(x^2)^(10 + 2*x)), x]","F",-1
8561,1,31,30,0.2902321,"\int \frac{\exp \left(e^{e^x}-e^{2+x^2}+e^{e^{e^x}-e^{2+x^2}} \left(16+x-8 \log (x)+\log ^2(x)\right)\right) \left(-8+x+e^{2+x^2} \left(-32 x^2-2 x^3\right)+\left(2+16 e^{2+x^2} x^2\right) \log (x)-2 e^{2+x^2} x^2 \log ^2(x)+e^{e^x} \left(e^x \left(16 x+x^2\right)-8 e^x x \log (x)+e^x x \log ^2(x)\right)\right)}{x} \, dx","Integrate[(E^(E^E^x - E^(2 + x^2) + E^(E^E^x - E^(2 + x^2))*(16 + x - 8*Log[x] + Log[x]^2))*(-8 + x + E^(2 + x^2)*(-32*x^2 - 2*x^3) + (2 + 16*E^(2 + x^2)*x^2)*Log[x] - 2*E^(2 + x^2)*x^2*Log[x]^2 + E^E^x*(E^x*(16*x + x^2) - 8*E^x*x*Log[x] + E^x*x*Log[x]^2)))/x,x]","\exp \left(e^{e^{e^x}-e^{x^2+2}} \left(x+\log ^2(x)-8 \log (x)+16\right)\right)","e^{e^{e^{e^x}-e^{x^2+2}} \left(x+(4-\log (x))^2\right)}",1,"E^(E^(E^E^x - E^(2 + x^2))*(16 + x - 8*Log[x] + Log[x]^2))","A",1
8562,1,23,23,0.0000792,"\int \frac{1}{2} \left(15 e^4+30 e^6+15 e^8\right) \, dx","Integrate[(15*E^4 + 30*E^6 + 15*E^8)/2,x]","\frac{15 e^8 x}{2}+15 e^6 x+\frac{15 e^4 x}{2}","3 \left(e^2+e^4\right)^2 \left(\frac{x-2}{2}+2 x-2\right)",1,"(15*E^4*x)/2 + 15*E^6*x + (15*E^8*x)/2","A",1
8563,1,25,27,0.0358176,"\int \left(6 e^{\frac{2}{3} \left(-4+3 e^5+3 x^3\right)} x^2-12 e^{2+\frac{1}{3} \left(-4+3 e^5+3 x^3\right)} x^2\right) \, dx","Integrate[6*E^((2*(-4 + 3*E^5 + 3*x^3))/3)*x^2 - 12*E^(2 + (-4 + 3*E^5 + 3*x^3)/3)*x^2,x]","\frac{\left(e^{x^3+e^5}-2 e^{10/3}\right)^2}{e^{8/3}}","\left(e^{\frac{1}{3} \left(3 \left(x^3-1\right)-1\right)+e^5}-2 e^2\right)^2",1,"(-2*E^(10/3) + E^(E^5 + x^3))^2/E^(8/3)","A",1
8564,1,14,17,0.0713644,"\int \frac{e^{\frac{x^2+\log (x)}{x}} \left(\left(120-240 x+120 x^2\right) \log (2)-120 \log (2) \log (x)\right)}{x^4} \, dx","Integrate[(E^((x^2 + Log[x])/x)*((120 - 240*x + 120*x^2)*Log[2] - 120*Log[2]*Log[x]))/x^4,x]","120 e^x x^{\frac{1}{x}-2} \log (2)","\frac{120 \log (2) e^{x+\frac{\log (x)}{x}}}{x^2}",1,"120*E^x*x^(-2 + x^(-1))*Log[2]","A",1
8565,0,0,30,0.479451,"\int \left(-3 x^2+5^x \left(e^{-x^2} x\right)^x \left(1-2 x^2+\log \left(5 e^{-x^2} x\right)\right)+2 \log (\log (4))\right) \, dx","Integrate[-3*x^2 + 5^x*(x/E^x^2)^x*(1 - 2*x^2 + Log[(5*x)/E^x^2]) + 2*Log[Log[4]],x]","\int \left(-3 x^2+5^x \left(e^{-x^2} x\right)^x \left(1-2 x^2+\log \left(5 e^{-x^2} x\right)\right)+2 \log (\log (4))\right) \, dx","5^x \left(e^{-x^2} x\right)^x+x \left(2 \log (\log (4))-x^2\right)+1",1,"Integrate[-3*x^2 + 5^x*(x/E^x^2)^x*(1 - 2*x^2 + Log[(5*x)/E^x^2]) + 2*Log[Log[4]], x]","F",-1
8566,1,22,21,0.1600741,"\int \frac{-1+3 x+256 x^2+\left(2 x^2-9 x^3-1024 x^4\right) \log (x)+\left(3 x+512 x^2\right) \log (x) \log (\log (x))}{\left(x^3-3 x^4-256 x^5\right) \log (x)+\left(-x+3 x^2+256 x^3\right) \log (x) \log (\log (x))} \, dx","Integrate[(-1 + 3*x + 256*x^2 + (2*x^2 - 9*x^3 - 1024*x^4)*Log[x] + (3*x + 512*x^2)*Log[x]*Log[Log[x]])/((x^3 - 3*x^4 - 256*x^5)*Log[x] + (-x + 3*x^2 + 256*x^3)*Log[x]*Log[Log[x]]),x]","\log \left(-256 x^2-3 x+1\right)+\log \left(x^2-\log (\log (x))\right)","\log \left(\left(256 x^2+3 x-1\right) \left(\log (\log (x))-x^2\right)\right)",1,"Log[1 - 3*x - 256*x^2] + Log[x^2 - Log[Log[x]]]","A",1
8567,1,31,36,0.6902884,"\int \frac{e^{\frac{1}{18} \left(225-30 x+x^2\right)} \left(e^{3 x} (60-4 x)+15 x^3-x^4+e^{2 x} \left(36+84 x-8 x^2\right)+e^x \left(18 x+57 x^2-5 x^3\right)\right)}{225 e^{3 x}+675 e^{2 x} x+675 e^x x^2+225 x^3} \, dx","Integrate[(E^((225 - 30*x + x^2)/18)*(E^(3*x)*(60 - 4*x) + 15*x^3 - x^4 + E^(2*x)*(36 + 84*x - 8*x^2) + E^x*(18*x + 57*x^2 - 5*x^3)))/(225*E^(3*x) + 675*E^(2*x)*x + 675*E^x*x^2 + 225*x^3),x]","-\frac{e^{\frac{1}{18} (x-15)^2} \left(x+2 e^x\right)^2}{25 \left(x+e^x\right)^2}","5-\frac{1}{25} e^{\frac{1}{2} \left(\frac{x}{3}-5\right)^2} \left(\frac{e^x}{x+e^x}+1\right)^2",1,"-1/25*(E^((-15 + x)^2/18)*(2*E^x + x)^2)/(E^x + x)^2","A",1
8568,1,23,26,1.699439,"\int \frac{\exp \left(\frac{4+8 x+4 x^2}{x^2+e^{x^2} \left(2 x-2 x^2\right)+e^{2 x^2} \left(1-2 x+x^2\right)}\right) \left(8+8 x+e^{x^2} \left(-16+16 x^2-16 x^3-16 x^4\right)\right)}{-x^3+e^{2 x^2} \left(-3 x+6 x^2-3 x^3\right)+e^{3 x^2} \left(-1+3 x-3 x^2+x^3\right)+e^{x^2} \left(-3 x^2+3 x^3\right)} \, dx","Integrate[(E^((4 + 8*x + 4*x^2)/(x^2 + E^x^2*(2*x - 2*x^2) + E^(2*x^2)*(1 - 2*x + x^2)))*(8 + 8*x + E^x^2*(-16 + 16*x^2 - 16*x^3 - 16*x^4)))/(-x^3 + E^(2*x^2)*(-3*x + 6*x^2 - 3*x^3) + E^(3*x^2)*(-1 + 3*x - 3*x^2 + x^3) + E^x^2*(-3*x^2 + 3*x^3)),x]","e^{\frac{4 (x+1)^2}{\left(x-e^{x^2} (x-1)\right)^2}}","e^{\frac{4 (x+1)^2}{\left(e^{x^2} (x-1)-x\right)^2}}-16",1,"E^((4*(1 + x)^2)/(-(E^x^2*(-1 + x)) + x)^2)","A",1
8569,1,27,31,0.058377,"\int \frac{-2 e^{25-x} x^2-20 \log (x) \log \left(x^2\right)+(-5+5 \log (x)) \log ^2\left(x^2\right)}{10 x^2} \, dx","Integrate[(-2*E^(25 - x)*x^2 - 20*Log[x]*Log[x^2] + (-5 + 5*Log[x])*Log[x^2]^2)/(10*x^2),x]","\frac{e^{25-x}}{5}-\frac{\log (x) \log ^2\left(x^2\right)}{2 x}","\frac{e^{25-x}}{5}-\frac{\frac{1}{2} \log (x) \log ^2\left(x^2\right)+x}{x}",1,"E^(25 - x)/5 - (Log[x]*Log[x^2]^2)/(2*x)","A",1
8570,1,18,24,0.015416,"\int \frac{x+5 x^2+5 e^x x^2-\log \left(-e^x\right)}{5 x^2} \, dx","Integrate[(x + 5*x^2 + 5*E^x*x^2 - Log[-E^x])/(5*x^2),x]","x+e^x+\frac{\log \left(-e^x\right)}{5 x}","x+e^x+\frac{\log \left(-e^x\right)}{5 x}-e^9+5",1,"E^x + x + Log[-E^x]/(5*x)","A",1
8571,1,21,22,0.0158262,"\int \frac{e^3 (1-34 x)-3 x^2+6 x^3-105 x^4+102 x^5-867 x^6}{1-2 x+35 x^2-34 x^3+289 x^4} \, dx","Integrate[(E^3*(1 - 34*x) - 3*x^2 + 6*x^3 - 105*x^4 + 102*x^5 - 867*x^6)/(1 - 2*x + 35*x^2 - 34*x^3 + 289*x^4),x]","-x^3-\frac{e^3}{-17 x^2+x-1}","\frac{e^3}{17 x^2-x+1}-x^3",1,"-x^3 - E^3/(-1 + x - 17*x^2)","A",1
8572,1,18,16,0.0034862,"\int \frac{e^2-10 x-9 x^2}{e^2} \, dx","Integrate[(E^2 - 10*x - 9*x^2)/E^2,x]","-\frac{3 x^3}{e^2}-\frac{5 x^2}{e^2}+x","-\frac{(3 x+5) x^2}{e^2}+x+3",1,"x - (5*x^2)/E^2 - (3*x^3)/E^2","A",1
8573,1,14,16,0.0316905,"\int \frac{45-3 x+x^2+\left(-30 x+2 x^2\right) \log (60-4 x)}{-15+x} \, dx","Integrate[(45 - 3*x + x^2 + (-30*x + 2*x^2)*Log[60 - 4*x])/(-15 + x),x]","x^2 \log (60-4 x)-3 x","x (x \log (4 (15-x))-3)+5",1,"-3*x + x^2*Log[60 - 4*x]","A",1
8574,1,19,19,0.0552461,"\int \frac{3+2 x-36 x^3-12 x^4+e^4 \left(-1+12 x^3\right)+\left(-36 x^3+12 e^4 x^3-12 x^4\right) \log \left(3 x-e^4 x+x^2\right)+\left(-9 x^3+3 e^4 x^3-3 x^4\right) \log ^2\left(3 x-e^4 x+x^2\right)}{-12 x+4 e^4 x-4 x^2+\left(-12 x+4 e^4 x-4 x^2\right) \log \left(3 x-e^4 x+x^2\right)+\left(-3 x+e^4 x-x^2\right) \log ^2\left(3 x-e^4 x+x^2\right)} \, dx","Integrate[(3 + 2*x - 36*x^3 - 12*x^4 + E^4*(-1 + 12*x^3) + (-36*x^3 + 12*E^4*x^3 - 12*x^4)*Log[3*x - E^4*x + x^2] + (-9*x^3 + 3*E^4*x^3 - 3*x^4)*Log[3*x - E^4*x + x^2]^2)/(-12*x + 4*E^4*x - 4*x^2 + (-12*x + 4*E^4*x - 4*x^2)*Log[3*x - E^4*x + x^2] + (-3*x + E^4*x - x^2)*Log[3*x - E^4*x + x^2]^2),x]","x^3+\frac{1}{\log \left(x \left(x-e^4+3\right)\right)+2}","x^3+\frac{1}{\log \left(x \left(x-e^4+3\right)\right)+2}",1,"x^3 + (2 + Log[x*(3 - E^4 + x)])^(-1)","A",1
8575,1,21,29,0.0085147,"\int \frac{15+30 x+5 x^2+8 x^3+x^4-2 x^5}{x^2+2 x^3+x^4} \, dx","Integrate[(15 + 30*x + 5*x^2 + 8*x^3 + x^4 - 2*x^5)/(x^2 + 2*x^3 + x^4),x]","-x^2+5 x+\frac{15}{x+1}-\frac{15}{x}","-x^2+5 \left(x-\frac{3}{(x+1) x}-4\right)+\left(1+e^4\right)^2+4",1,"-15/x + 5*x - x^2 + 15/(1 + x)","A",1
8576,1,25,26,0.016801,"\int \left(-1+6 e^{3 x}+5 e^{5 x}+e^{2 x} (7+2 x)\right) \, dx","Integrate[-1 + 6*E^(3*x) + 5*E^(5*x) + E^(2*x)*(7 + 2*x),x]","-x+2 e^{3 x}+e^{5 x}+e^{2 x} (x+3)","-x+e^{5 x}+e^{2 x} \left(2 \left(e^x-1\right)+x+5\right)+4",1,"2*E^(3*x) + E^(5*x) - x + E^(2*x)*(3 + x)","A",1
8577,1,64,31,0.3697866,"\int \frac{\exp \left(\frac{4 x+x^3-x^4+x^2 \log \left(4 e^x+e^x \log \left(x^2\right)\right)}{-4+x^3}\right) \left(-128-16 x-128 x^2+64 x^3+4 x^4+8 x^5-8 x^6+\left(-32-32 x^2+16 x^3+2 x^5-2 x^6\right) \log \left(x^2\right)+\left(-64 x-8 x^4+\left(-16 x-2 x^4\right) \log \left(x^2\right)\right) \log \left(4 e^x+e^x \log \left(x^2\right)\right)\right)}{64-32 x^3+4 x^6+\left(16-8 x^3+x^6\right) \log \left(x^2\right)} \, dx","Integrate[(E^((4*x + x^3 - x^4 + x^2*Log[4*E^x + E^x*Log[x^2]])/(-4 + x^3))*(-128 - 16*x - 128*x^2 + 64*x^3 + 4*x^4 + 8*x^5 - 8*x^6 + (-32 - 32*x^2 + 16*x^3 + 2*x^5 - 2*x^6)*Log[x^2] + (-64*x - 8*x^4 + (-16*x - 2*x^4)*Log[x^2])*Log[4*E^x + E^x*Log[x^2]]))/(64 - 32*x^3 + 4*x^6 + (16 - 8*x^3 + x^6)*Log[x^2]),x]","2 \left(\log \left(x^2\right)+4\right)^{\frac{x^2}{x^3-4}} \exp \left(\frac{x \left(-x^3+x^2-x \log \left(\log \left(x^2\right)+4\right)+x \log \left(e^x \left(\log \left(x^2\right)+4\right)\right)+4\right)}{x^3-4}\right)","2 e^{\frac{\log \left(e^x \left(\log \left(x^2\right)+4\right)\right)+x}{x-\frac{4}{x^2}}-x}",1,"2*E^((x*(4 + x^2 - x^3 - x*Log[4 + Log[x^2]] + x*Log[E^x*(4 + Log[x^2])]))/(-4 + x^3))*(4 + Log[x^2])^(x^2/(-4 + x^3))","B",1
8578,1,184,23,0.0464854,"\int \frac{-36-12 x^2 \log ^2(3)+\left(-36 x \log (3)-4 x^3 \log ^3(3)\right) \log (4)+\left(-24-12 x^2 \log ^2(3)\right) \log ^2(4)-12 x \log (3) \log ^3(4)-4 \log ^4(4)+\left(-12-4 x^2 \log ^2(3)-8 x \log (3) \log (4)-4 \log ^2(4)\right) \log (x)+\left(24+4 x^2 \log ^2(3)+12 x \log (3) \log (4)+8 \log ^2(4)\right) \log ^2(x)+4 \log ^3(x)-4 \log ^4(x)}{x^5} \, dx","Integrate[(-36 - 12*x^2*Log[3]^2 + (-36*x*Log[3] - 4*x^3*Log[3]^3)*Log[4] + (-24 - 12*x^2*Log[3]^2)*Log[4]^2 - 12*x*Log[3]*Log[4]^3 - 4*Log[4]^4 + (-12 - 4*x^2*Log[3]^2 - 8*x*Log[3]*Log[4] - 4*Log[4]^2)*Log[x] + (24 + 4*x^2*Log[3]^2 + 12*x*Log[3]*Log[4] + 8*Log[4]^2)*Log[x]^2 + 4*Log[x]^3 - 4*Log[x]^4)/x^5,x]","\frac{9}{x^4}+\frac{\log ^4(x)}{x^4}+\frac{\log ^4(4)}{x^4}-\frac{6 \log ^2(x)}{x^4}-\frac{2 \log ^2(4) \log ^2(x)}{x^4}+\frac{6 \log ^2(4)}{x^4}+\frac{4 \log ^3(4) \log (27)}{3 x^3}-\frac{4 \log (4) \log (27) \log ^2(x)}{3 x^3}-\frac{8 \log (4) \log (27) \log (x)}{9 x^3}+\frac{4 \log (4) \log (9) \log (x)}{3 x^3}-\frac{8 \log (4) \log (27)}{27 x^3}+\frac{4 \log (4) \log (9)}{9 x^3}+\frac{12 \log (3) \log (4)}{x^3}-\frac{2 \log ^2(3) \log ^2(x)}{x^2}+\frac{6 \log ^2(3) \log ^2(4)}{x^2}+\frac{6 \log ^2(3)}{x^2}+\frac{4 \log ^3(3) \log (4)}{x}","\frac{\left(-\log ^2(x)+(x \log (3)+\log (4))^2+3\right)^2}{x^4}",1,"9/x^4 + (6*Log[3]^2)/x^2 + (12*Log[3]*Log[4])/x^3 + (4*Log[3]^3*Log[4])/x + (6*Log[4]^2)/x^4 + (6*Log[3]^2*Log[4]^2)/x^2 + Log[4]^4/x^4 + (4*Log[4]*Log[9])/(9*x^3) - (8*Log[4]*Log[27])/(27*x^3) + (4*Log[4]^3*Log[27])/(3*x^3) + (4*Log[4]*Log[9]*Log[x])/(3*x^3) - (8*Log[4]*Log[27]*Log[x])/(9*x^3) - (6*Log[x]^2)/x^4 - (2*Log[3]^2*Log[x]^2)/x^2 - (2*Log[4]^2*Log[x]^2)/x^4 - (4*Log[4]*Log[27]*Log[x]^2)/(3*x^3) + Log[x]^4/x^4","B",1
8579,1,19,23,0.3004989,"\int \frac{11 x^2-22 x^3+11 x^4+x^{\frac{1}{-x+x^2}} (-1+x+(1-2 x) \log (x))}{5 x^2-10 x^3+5 x^4} \, dx","Integrate[(11*x^2 - 22*x^3 + 11*x^4 + x^(-x + x^2)^(-1)*(-1 + x + (1 - 2*x)*Log[x]))/(5*x^2 - 10*x^3 + 5*x^4),x]","\frac{1}{5} \left(x^{\frac{1}{(x-1) x}}+11 x\right)","\frac{1}{5} \left(x^{\frac{1}{(x-1) x}}+x+5\right)+2 x-4",1,"(11*x + x^(1/((-1 + x)*x)))/5","A",1
8580,1,19,22,0.0463078,"\int \frac{-5-x-2 x \log (3)+(10+2 x) \log (3) \log (5+x)}{10 x^2+2 x^3} \, dx","Integrate[(-5 - x - 2*x*Log[3] + (10 + 2*x)*Log[3]*Log[5 + x])/(10*x^2 + 2*x^3),x]","\frac{1}{2} \left(\frac{1}{x}-\frac{\log (9) \log (x+5)}{x}\right)","\frac{x+1}{2 x}-\frac{\log (3) \log (x+5)}{x}",1,"(x^(-1) - (Log[9]*Log[5 + x])/x)/2","A",1
8581,1,74,35,0.2609134,"\int \frac{e^{2 x} (-3-6 x)+9 x^2+e^{-3+e^x} \left(-3-3 e^x x-3 \log (x)\right)+\left(-3 e^{2 x}+3 x^2\right) \log (x)+\left(-3 e^{-3+e^x}-3 e^{2 x}+3 x^2\right) \log \left(-e^{-3+e^x}-e^{2 x}+x^2\right)}{\left(-3 e^{2 x} x+3 x^3\right) \log (x)+\left(e^{2 x} x^2-x^4\right) \log ^2(x)+e^{-3+e^x} \left(-3 x \log (x)+x^2 \log ^2(x)\right)+\left(-3 e^{2 x} x+3 x^3+\left(2 e^{2 x} x^2-2 x^4\right) \log (x)+e^{-3+e^x} \left(-3 x+2 x^2 \log (x)\right)\right) \log \left(-e^{-3+e^x}-e^{2 x}+x^2\right)+\left(e^{-3+e^x} x^2+e^{2 x} x^2-x^4\right) \log ^2\left(-e^{-3+e^x}-e^{2 x}+x^2\right)} \, dx","Integrate[(E^(2*x)*(-3 - 6*x) + 9*x^2 + E^(-3 + E^x)*(-3 - 3*E^x*x - 3*Log[x]) + (-3*E^(2*x) + 3*x^2)*Log[x] + (-3*E^(-3 + E^x) - 3*E^(2*x) + 3*x^2)*Log[-E^(-3 + E^x) - E^(2*x) + x^2])/((-3*E^(2*x)*x + 3*x^3)*Log[x] + (E^(2*x)*x^2 - x^4)*Log[x]^2 + E^(-3 + E^x)*(-3*x*Log[x] + x^2*Log[x]^2) + (-3*E^(2*x)*x + 3*x^3 + (2*E^(2*x)*x^2 - 2*x^4)*Log[x] + E^(-3 + E^x)*(-3*x + 2*x^2*Log[x]))*Log[-E^(-3 + E^x) - E^(2*x) + x^2] + (E^(-3 + E^x)*x^2 + E^(2*x)*x^2 - x^4)*Log[-E^(-3 + E^x) - E^(2*x) + x^2]^2),x]","-3 \left(-\frac{1}{3} \log \left(\log \left(x^2-e^{e^x-3}-e^{2 x}\right)+\log (x)\right)+\frac{1}{3} \log \left(-x \log \left(x^2-e^{e^x-3}-e^{2 x}\right)-x \log (x)+3\right)-\frac{\log (x)}{3}\right)","\log \left(\frac{x}{x-\frac{3}{\log \left(x^2-e^{e^x-3}-e^{2 x}\right)+\log (x)}}\right)",1,"-3*(-1/3*Log[x] - Log[Log[x] + Log[-E^(-3 + E^x) - E^(2*x) + x^2]]/3 + Log[3 - x*Log[x] - x*Log[-E^(-3 + E^x) - E^(2*x) + x^2]]/3)","B",1
8582,1,18,19,0.1351947,"\int \frac{-391+16 x+(92-4 x) \log (23-x)+(-92+4 x) \log (x)}{-92 x+4 x^2+\left(23 x-x^2\right) \log (23-x)+\left(-23 x+x^2\right) \log (x)} \, dx","Integrate[(-391 + 16*x + (92 - 4*x)*Log[23 - x] + (-92 + 4*x)*Log[x])/(-92*x + 4*x^2 + (23*x - x^2)*Log[23 - x] + (-23*x + x^2)*Log[x]),x]","4 \log (x)+\log (-\log (23-x)+\log (x)+4)","\log \left(x^4 (-\log (23-x)+\log (x)+4)\right)-2",1,"4*Log[x] + Log[4 - Log[23 - x] + Log[x]]","A",1
8583,1,22,24,0.0311924,"\int \left(-64 e^{6-2 x}+2 x+2^{2+x} e^{2^{1+x}} \log (2)\right) \, dx","Integrate[-64*E^(6 - 2*x) + 2*x + 2^(2 + x)*E^2^(1 + x)*Log[2],x]","x^2+2 e^{2^{x+1}}+32 e^{6-2 x}","x^2+2 \left(e^{2^{x+1}}+16 e^{6-2 x}\right)+4",1,"2*E^2^(1 + x) + 32*E^(6 - 2*x) + x^2","A",1
8584,1,30,31,0.040947,"\int \frac{18+2 x+e^{e^5} \left(18-x^2\right)-9 \log \left(x^2\right)}{3 x^2} \, dx","Integrate[(18 + 2*x + E^E^5*(18 - x^2) - 9*Log[x^2])/(3*x^2),x]","-\frac{e^{e^5} \left(x^2+18\right)-9 \log \left(x^2\right)-2 x \log (x)}{3 x}","\log (5)-\frac{\left(\frac{x}{3}+3\right) \left(e^{e^5} (x+2)-\log \left(x^2\right)\right)}{x}",1,"-1/3*(E^E^5*(18 + x^2) - 2*x*Log[x] - 9*Log[x^2])/x","A",1
8585,1,18,30,0.0525223,"\int \frac{90-60 x+15 x^2+e^{e^x+x} \left(60-60 x+15 x^2\right)}{4-4 x+x^2} \, dx","Integrate[(90 - 60*x + 15*x^2 + E^(E^x + x)*(60 - 60*x + 15*x^2))/(4 - 4*x + x^2),x]","15 \left(x+e^{e^x}+\frac{2}{2-x}\right)","15 \left(\frac{x}{2-x}+x+e^{e^x}-e^{e^{e^{e^5}}}-1\right)",1,"15*(E^E^x + 2/(2 - x) + x)","A",1
8586,1,18,18,0.1126023,"\int \frac{-4-4 e^9+12 x+4 x \log \left(\frac{81 x}{16}\right)}{16 x+8 x \log \left(\frac{81 x}{16}\right)+x \log ^2\left(\frac{81 x}{16}\right)} \, dx","Integrate[(-4 - 4*E^9 + 12*x + 4*x*Log[(81*x)/16])/(16*x + 8*x*Log[(81*x)/16] + x*Log[(81*x)/16]^2),x]","\frac{4 \left(x+e^9+1\right)}{\log \left(\frac{81 x}{16}\right)+4}","\frac{4 \left(x+e^9+1\right)}{\log \left(\frac{81 x}{16}\right)+4}",1,"(4*(1 + E^9 + x))/(4 + Log[(81*x)/16])","A",1
8587,1,26,27,0.0194004,"\int \frac{-3+\left(-x-e^x x+6 e^{2 x} x-2 x^2\right) \log (x)}{x \log (x)} \, dx","Integrate[(-3 + (-x - E^x*x + 6*E^(2*x)*x - 2*x^2)*Log[x])/(x*Log[x]),x]","-x^2-x-e^x+3 e^{2 x}-3 \log (\log (x))","-x (x+4)-e^x+3 \left(x+e^{2 x}-\log (\log (x))+1\right)",1,"-E^x + 3*E^(2*x) - x - x^2 - 3*Log[Log[x]]","A",1
8588,1,60,34,0.0544836,"\int \frac{15 x^3+12 x^4-9 x^5+12 x^6+e^5 \left(-10-2 x+x^3\right)+e^{2 x} \left(-36 x^3-6 x^4-3 x^5-6 x^6\right)}{x^3} \, dx","Integrate[(15*x^3 + 12*x^4 - 9*x^5 + 12*x^6 + E^5*(-10 - 2*x + x^3) + E^(2*x)*(-36*x^3 - 6*x^4 - 3*x^5 - 6*x^6))/x^3,x]","3 x^4-3 x^3+6 x^2+\frac{5 e^5}{x^2}-3 e^{2 x} \left(x^3-x^2+2 x+5\right)+e^5 x+15 x+\frac{2 e^5}{x}","\left(\frac{5}{x^2}-\frac{x-2}{x}+x\right) \left(3 \left(x-e^{2 x}\right) x^2+e^5\right)",1,"(5*E^5)/x^2 + (2*E^5)/x + 15*x + E^5*x + 6*x^2 - 3*x^3 + 3*x^4 - 3*E^(2*x)*(5 + 2*x - x^2 + x^3)","A",1
8589,1,23,27,5.0773463,"\int \frac{-e^5 x^4-2 e^5 x^2 \log (4)-e^5 \log ^2(4)+e^{\frac{25}{x^2+\log (4)}} \left(e^5 \left(-200 x+50 x^2+x^4\right)+2 e^5 x^2 \log (4)+e^5 \log ^2(4)\right)}{x^4+2 x^2 \log (4)+\log ^2(4)+e^{\frac{25}{x^2+\log (4)}} \left(-2 x^4-4 x^2 \log (4)-2 \log ^2(4)\right)+e^{\frac{50}{x^2+\log (4)}} \left(x^4+2 x^2 \log (4)+\log ^2(4)\right)} \, dx","Integrate[(-(E^5*x^4) - 2*E^5*x^2*Log[4] - E^5*Log[4]^2 + E^(25/(x^2 + Log[4]))*(E^5*(-200*x + 50*x^2 + x^4) + 2*E^5*x^2*Log[4] + E^5*Log[4]^2))/(x^4 + 2*x^2*Log[4] + Log[4]^2 + E^(25/(x^2 + Log[4]))*(-2*x^4 - 4*x^2*Log[4] - 2*Log[4]^2) + E^(50/(x^2 + Log[4]))*(x^4 + 2*x^2*Log[4] + Log[4]^2)),x]","\frac{e^5 (x-4)}{e^{\frac{25}{x^2+\log (4)}}-1}","\frac{e^5 (x-4)}{e^{\frac{25}{x^2+\log (4)}}-1}+e^5",1,"(E^5*(-4 + x))/(-1 + E^(25/(x^2 + Log[4])))","A",1
8590,0,0,21,0.4274138,"\int \frac{e^{-x} \left(\left(-24 x^2+8 x^6\right) \log ^3\left(\frac{3+x^4}{x^2}\right)+\left(9 x^2-3 x^3+3 x^6-x^7\right) \log ^4\left(\frac{3+x^4}{x^2}\right)\right)}{3+x^4} \, dx","Integrate[((-24*x^2 + 8*x^6)*Log[(3 + x^4)/x^2]^3 + (9*x^2 - 3*x^3 + 3*x^6 - x^7)*Log[(3 + x^4)/x^2]^4)/(E^x*(3 + x^4)),x]","\int \frac{e^{-x} \left(\left(-24 x^2+8 x^6\right) \log ^3\left(\frac{3+x^4}{x^2}\right)+\left(9 x^2-3 x^3+3 x^6-x^7\right) \log ^4\left(\frac{3+x^4}{x^2}\right)\right)}{3+x^4} \, dx","e^{-x} x^3 \log ^4\left(x^2+\frac{3}{x^2}\right)",1,"Integrate[((-24*x^2 + 8*x^6)*Log[(3 + x^4)/x^2]^3 + (9*x^2 - 3*x^3 + 3*x^6 - x^7)*Log[(3 + x^4)/x^2]^4)/(E^x*(3 + x^4)), x]","F",-1
8591,1,36,24,0.1654882,"\int \frac{20 x^2+24 x^3+9 x^4+x^5+\left(12+20 x+221 x^2+208 x^3+71 x^4+8 x^5\right) \log (x)+\left(60 x^2+76 x^3+31 x^4+4 x^5\right) \log (x) \log (\log (x))}{\left(4+4 x+x^2\right) \log (x)} \, dx","Integrate[(20*x^2 + 24*x^3 + 9*x^4 + x^5 + (12 + 20*x + 221*x^2 + 208*x^3 + 71*x^4 + 8*x^5)*Log[x] + (60*x^2 + 76*x^3 + 31*x^4 + 4*x^5)*Log[x]*Log[Log[x]])/((4 + 4*x + x^2)*Log[x]),x]","2 x^4+13 x^3+(x+5) x^3 \log (\log (x))+10 x^2-15 x-\frac{72}{x+2}","x \left((x+5) x^2 \left(\frac{3}{x+2}+\log (\log (x))+2\right)+x+3\right)",1,"-15*x + 10*x^2 + 13*x^3 + 2*x^4 - 72/(2 + x) + x^3*(5 + x)*Log[Log[x]]","A",1
8592,1,41,19,0.00815,"\int e^3 \left(6 x^2+72 x^3+\left(4 x+36 x^2\right) \log (x)+\left(4 x+54 x^2\right) \log ^2(x)\right) \, dx","Integrate[E^3*(6*x^2 + 72*x^3 + (4*x + 36*x^2)*Log[x] + (4*x + 54*x^2)*Log[x]^2),x]","18 e^3 x^4+2 e^3 x^3+18 e^3 x^3 \log ^2(x)+2 e^3 x^2 \log ^2(x)","2 e^3 x \left(9 x^2+x\right) \left(x+\log ^2(x)\right)",1,"2*E^3*x^3 + 18*E^3*x^4 + 2*E^3*x^2*Log[x]^2 + 18*E^3*x^3*Log[x]^2","B",1
8593,1,24,24,0.1193543,"\int \frac{5+(-5+5 x) \log (4 x)-5 \log (4 x) \log \left(-\frac{e^{-2+x} \log (5) \log (4 x)}{x}\right)}{x^2 \log (4 x)} \, dx","Integrate[(5 + (-5 + 5*x)*Log[4*x] - 5*Log[4*x]*Log[-((E^(-2 + x)*Log[5]*Log[4*x])/x)])/(x^2*Log[4*x]),x]","\frac{5 \log \left(-\frac{e^{x-2} \log (5) \log (4 x)}{x}\right)}{x}-5","\frac{5 \log \left(-\frac{e^{x-2} \log (5) \log (4 x)}{x}\right)}{x}+2",1,"-5 + (5*Log[-((E^(-2 + x)*Log[5]*Log[4*x])/x)])/x","A",1
8594,0,0,32,35.6242032,"\int \frac{\exp \left(\frac{-16 x-4 x^2+8 x^3+2 x^4+e^x \left(32 x+8 x^2\right)+\left(-64-16 x+32 x^2+8 x^3\right) \log (4)+\left(-64-16 x+32 x^2+8 x^3\right) \log (x)}{x^2+4 x \log (4)+4 x \log (x)}\right) \left(16 x^2+8 x^4+4 x^5+\left(128 x+64 x^3+32 x^4\right) \log (4)+\left(256+128 x^2+64 x^3\right) \log ^2(4)+e^x \left(-128 x-64 x^2+32 x^3+8 x^4+\left(160 x^2+32 x^3\right) \log (4)\right)+\left(128 x+64 x^3+32 x^4+e^x \left(160 x^2+32 x^3\right)+\left(512+256 x^2+128 x^3\right) \log (4)\right) \log (x)+\left(256+128 x^2+64 x^3\right) \log ^2(x)\right)}{x^4+8 x^3 \log (4)+16 x^2 \log ^2(4)+\left(8 x^3+32 x^2 \log (4)\right) \log (x)+16 x^2 \log ^2(x)} \, dx","Integrate[(E^((-16*x - 4*x^2 + 8*x^3 + 2*x^4 + E^x*(32*x + 8*x^2) + (-64 - 16*x + 32*x^2 + 8*x^3)*Log[4] + (-64 - 16*x + 32*x^2 + 8*x^3)*Log[x])/(x^2 + 4*x*Log[4] + 4*x*Log[x]))*(16*x^2 + 8*x^4 + 4*x^5 + (128*x + 64*x^3 + 32*x^4)*Log[4] + (256 + 128*x^2 + 64*x^3)*Log[4]^2 + E^x*(-128*x - 64*x^2 + 32*x^3 + 8*x^4 + (160*x^2 + 32*x^3)*Log[4]) + (128*x + 64*x^3 + 32*x^4 + E^x*(160*x^2 + 32*x^3) + (512 + 256*x^2 + 128*x^3)*Log[4])*Log[x] + (256 + 128*x^2 + 64*x^3)*Log[x]^2))/(x^4 + 8*x^3*Log[4] + 16*x^2*Log[4]^2 + (8*x^3 + 32*x^2*Log[4])*Log[x] + 16*x^2*Log[x]^2),x]","\int \frac{\exp \left(\frac{-16 x-4 x^2+8 x^3+2 x^4+e^x \left(32 x+8 x^2\right)+\left(-64-16 x+32 x^2+8 x^3\right) \log (4)+\left(-64-16 x+32 x^2+8 x^3\right) \log (x)}{x^2+4 x \log (4)+4 x \log (x)}\right) \left(16 x^2+8 x^4+4 x^5+\left(128 x+64 x^3+32 x^4\right) \log (4)+\left(256+128 x^2+64 x^3\right) \log ^2(4)+e^x \left(-128 x-64 x^2+32 x^3+8 x^4+\left(160 x^2+32 x^3\right) \log (4)\right)+\left(128 x+64 x^3+32 x^4+e^x \left(160 x^2+32 x^3\right)+\left(512+256 x^2+128 x^3\right) \log (4)\right) \log (x)+\left(256+128 x^2+64 x^3\right) \log ^2(x)\right)}{x^4+8 x^3 \log (4)+16 x^2 \log ^2(4)+\left(8 x^3+32 x^2 \log (4)\right) \log (x)+16 x^2 \log ^2(x)} \, dx","e^{2 (x+4) \left(x-\frac{2}{x}+\frac{e^x}{\frac{x}{4}+\log (x)+\log (4)}\right)}-5",1,"Integrate[(E^((-16*x - 4*x^2 + 8*x^3 + 2*x^4 + E^x*(32*x + 8*x^2) + (-64 - 16*x + 32*x^2 + 8*x^3)*Log[4] + (-64 - 16*x + 32*x^2 + 8*x^3)*Log[x])/(x^2 + 4*x*Log[4] + 4*x*Log[x]))*(16*x^2 + 8*x^4 + 4*x^5 + (128*x + 64*x^3 + 32*x^4)*Log[4] + (256 + 128*x^2 + 64*x^3)*Log[4]^2 + E^x*(-128*x - 64*x^2 + 32*x^3 + 8*x^4 + (160*x^2 + 32*x^3)*Log[4]) + (128*x + 64*x^3 + 32*x^4 + E^x*(160*x^2 + 32*x^3) + (512 + 256*x^2 + 128*x^3)*Log[4])*Log[x] + (256 + 128*x^2 + 64*x^3)*Log[x]^2))/(x^4 + 8*x^3*Log[4] + 16*x^2*Log[4]^2 + (8*x^3 + 32*x^2*Log[4])*Log[x] + 16*x^2*Log[x]^2), x]","F",-1
8595,1,21,22,0.2077467,"\int \frac{98-28 x+30 x^2-4 x^3+2 x^4+294 x^5-84 x^6+90 x^7-12 x^8+6 x^9+e^{\frac{1}{7-x+x^2}} (-1+2 x)}{49-14 x+15 x^2-2 x^3+x^4} \, dx","Integrate[(98 - 28*x + 30*x^2 - 4*x^3 + 2*x^4 + 294*x^5 - 84*x^6 + 90*x^7 - 12*x^8 + 6*x^9 + E^(7 - x + x^2)^(-1)*(-1 + 2*x))/(49 - 14*x + 15*x^2 - 2*x^3 + x^4),x]","x^6-e^{\frac{1}{x^2-x+7}}+2 x","x^6-e^{\frac{1}{x^2-x+7}}+2 x+2",1,"-E^(7 - x + x^2)^(-1) + 2*x + x^6","A",1
8596,1,15,15,0.1962122,"\int \frac{-3 x-3 x \log (3)+(12+3 x+(12+3 x) \log (3)) \log (4+x)}{4 x^2+x^3+\left(8 x+2 x^2\right) \log (4+x)+(4+x) \log ^2(4+x)} \, dx","Integrate[(-3*x - 3*x*Log[3] + (12 + 3*x + (12 + 3*x)*Log[3])*Log[4 + x])/(4*x^2 + x^3 + (8*x + 2*x^2)*Log[4 + x] + (4 + x)*Log[4 + x]^2),x]","\frac{3 x (1+\log (3))}{x+\log (x+4)}","\frac{3 x (1+\log (3))}{x+\log (x+4)}",1,"(3*x*(1 + Log[3]))/(x + Log[4 + x])","A",1
8597,1,22,19,0.0063232,"\int \frac{-21+x+e^4 (-5+5 x)}{-5+5 x} \, dx","Integrate[(-21 + x + E^4*(-5 + 5*x))/(-5 + 5*x),x]","\frac{1}{5} \left(\left(1+5 e^4\right) (x-1)-20 \log (x-1)\right)","\left(\frac{1}{5}+e^4\right) x-\log \left((x-1)^4\right)-2",1,"((1 + 5*E^4)*(-1 + x) - 20*Log[-1 + x])/5","A",1
8598,1,29,32,0.1323797,"\int \frac{\left(-100 e^{5/x}+e^{e^{-5/x} \left(-e^{5/x} x+\log (x)\right)} \left(10 x+e^{5/x} \left(-10 x-10 x^2\right)+50 \log (x)\right)\right) \log \left(\frac{10+2 e^{e^{-5/x} \left(-e^{5/x} x+\log (x)\right)} x}{x^2}\right)}{5 e^{5/x} x+e^{\frac{5}{x}+e^{-5/x} \left(-e^{5/x} x+\log (x)\right)} x^2} \, dx","Integrate[((-100*E^(5/x) + E^((-(E^(5/x)*x) + Log[x])/E^(5/x))*(10*x + E^(5/x)*(-10*x - 10*x^2) + 50*Log[x]))*Log[(10 + 2*E^((-(E^(5/x)*x) + Log[x])/E^(5/x))*x)/x^2])/(5*E^(5/x)*x + E^(5/x + (-(E^(5/x)*x) + Log[x])/E^(5/x))*x^2),x]","5 \log ^2\left(\frac{2 \left(e^{-x} x^{e^{-5/x}+1}+5\right)}{x^2}\right)","5 \log ^2\left(\frac{2 \left(\frac{5}{x}+e^{e^{-5/x} \log (x)-x}\right)}{x}\right)",1,"5*Log[(2*(5 + x^(1 + E^(-5/x))/E^x))/x^2]^2","A",1
8599,1,19,19,0.2602081,"\int \frac{e^x \left(e^{e^{e^x} x^{5/4}}+x\right) \left(4+4 x+e^{e^{e^x} x^{5/4}} \left(4+e^{e^x} \sqrt[4]{x} \left(5+4 e^x x\right)\right)\right)}{4 e^{e^{e^x} x^{5/4}}+4 x} \, dx","Integrate[(E^x*(E^(E^E^x*x^(5/4)) + x)*(4 + 4*x + E^(E^E^x*x^(5/4))*(4 + E^E^x*x^(1/4)*(5 + 4*E^x*x))))/(4*E^(E^E^x*x^(5/4)) + 4*x),x]","e^x \left(e^{e^{e^x} x^{5/4}}+x\right)","e^x \left(e^{e^{e^x} x^{5/4}}+x\right)",1,"E^x*(E^(E^E^x*x^(5/4)) + x)","A",1
8600,1,45,34,0.2999802,"\int \frac{e^{3/x} \left(-12+3 e^3+3 x\right) \log (5)+\left(-4 x^2+e^3 x^2+x^3\right) \log (5)+\left(-3 e^{3/x} \log (5)-x^2 \log (5)\right) \log (x)+e^{\frac{4+x+\log (5) \log \left(4-e^3-x+\log (x)\right)}{\log (5)}} \left(4 x^2-e^3 x^2-x^3+\left(x-x^2\right) \log (5)+x^2 \log (x)\right)}{\left(4 x^2-e^3 x^2-x^3\right) \log (5)+x^2 \log (5) \log (x)} \, dx","Integrate[(E^(3/x)*(-12 + 3*E^3 + 3*x)*Log[5] + (-4*x^2 + E^3*x^2 + x^3)*Log[5] + (-3*E^(3/x)*Log[5] - x^2*Log[5])*Log[x] + E^((4 + x + Log[5]*Log[4 - E^3 - x + Log[x]])/Log[5])*(4*x^2 - E^3*x^2 - x^3 + (x - x^2)*Log[5] + x^2*Log[x]))/((4*x^2 - E^3*x^2 - x^3)*Log[5] + x^2*Log[5]*Log[x]),x]","-x+e^{3/x}-e^{\frac{x+4}{\log (5)}} \left(x-4+125^{\frac{1}{\log (5)}}\right)+e^{\frac{x+4}{\log (5)}} \log (x)","-x+e^{3/x}+e^{\frac{x+4}{\log (5)}} \left(-x+\log (x)-e^3+4\right)",1,"E^(3/x) - x - E^((4 + x)/Log[5])*(-4 + 125^Log[5]^(-1) + x) + E^((4 + x)/Log[5])*Log[x]","A",1
8601,1,35,26,0.0120725,"\int \frac{-28 e^3+4 e^3 (i \pi +\log (2))}{147+42 x+3 x^2+(-42-6 x) (i \pi +\log (2))+3 (i \pi +\log (2))^2} \, dx","Integrate[(-28*E^3 + 4*E^3*(I*Pi + Log[2]))/(147 + 42*x + 3*x^2 + (-42 - 6*x)*(I*Pi + Log[2]) + 3*(I*Pi + Log[2])^2),x]","\frac{4 i e^3 (7-i \pi -\log (2))}{3 (\pi +i (x+7-\log (2)))}","e^5-\frac{4 e^3 x}{3 (x-i \pi +7-\log (2))}",1,"(((4*I)/3)*E^3*(7 - I*Pi - Log[2]))/(Pi + I*(7 + x - Log[2]))","A",1
8602,1,36,31,0.0496098,"\int \frac{1}{36} \left(324 x^3+225 x^4+360 x^6+240 x^7+84 x^9+55 x^{10}+e^8 \left(52 x^5+35 x^6\right)+e^6 \left(-240 x^6-160 x^7\right)+e^4 \left(264 x^4+180 x^5+408 x^7+270 x^8\right)+e^2 \left(-624 x^5-420 x^6-304 x^8-200 x^9\right)+\left(144 x^3+24 e^8 x^5+168 x^6-112 e^6 x^6+40 x^9+e^4 \left(120 x^4+192 x^7\right)+e^2 \left(-288 x^5-144 x^8\right)\right) \log (x)\right) \, dx","Integrate[(324*x^3 + 225*x^4 + 360*x^6 + 240*x^7 + 84*x^9 + 55*x^10 + E^8*(52*x^5 + 35*x^6) + E^6*(-240*x^6 - 160*x^7) + E^4*(264*x^4 + 180*x^5 + 408*x^7 + 270*x^8) + E^2*(-624*x^5 - 420*x^6 - 304*x^8 - 200*x^9) + (144*x^3 + 24*E^8*x^5 + 168*x^6 - 112*E^6*x^6 + 40*x^9 + E^4*(120*x^4 + 192*x^7) + E^2*(-288*x^5 - 144*x^8))*Log[x])/36,x]","\frac{1}{36} x^4 \left(x^3-2 e^2 x^2+e^4 x+3\right)^2 (5 x+4 \log (x)+8)","\frac{1}{9} x^4 \left(x \left(e^2-x\right)^2+3\right)^2 \left(\frac{5 x}{4}+\log (x)+2\right)",1,"(x^4*(3 + E^4*x - 2*E^2*x^2 + x^3)^2*(8 + 5*x + 4*Log[x]))/36","A",1
8603,1,18,20,0.0834415,"\int \frac{e^{-e^x-2 \log ^2(x)} \left(-1-e^x x-4 \log (x)\right)}{x^2} \, dx","Integrate[(E^(-E^x - 2*Log[x]^2)*(-1 - E^x*x - 4*Log[x]))/x^2,x]","\frac{e^{-e^x-2 \log ^2(x)}}{x}","\frac{e^{-e^x-2 \log ^2(x)}}{x}+3",1,"E^(-E^x - 2*Log[x]^2)/x","A",1
8604,1,25,24,0.0989269,"\int \frac{6 x^2-6 x^2 \log (x)+4 e^6 x \log ^3(x)+\left(3 x^2 \log (x)+e^6 (-64-4 x) \log ^3(x)\right) \log \left(\frac{-45 x^2+e^6 (960+60 x) \log ^2(x)}{4 e^6 \log ^2(x)}\right)}{-3 x^4 \log (x)+e^6 \left(64 x^2+4 x^3\right) \log ^3(x)} \, dx","Integrate[(6*x^2 - 6*x^2*Log[x] + 4*E^6*x*Log[x]^3 + (3*x^2*Log[x] + E^6*(-64 - 4*x)*Log[x]^3)*Log[(-45*x^2 + E^6*(960 + 60*x)*Log[x]^2)/(4*E^6*Log[x]^2)])/(-3*x^4*Log[x] + E^6*(64*x^2 + 4*x^3)*Log[x]^3),x]","\frac{\log \left(15 (x+16)-\frac{45 x^2}{4 e^6 \log ^2(x)}\right)}{x}","\frac{\log \left(15 \left(-\frac{3 x^2}{4 e^6 \log ^2(x)}+x+16\right)\right)}{x}",1,"Log[15*(16 + x) - (45*x^2)/(4*E^6*Log[x]^2)]/x","A",1
8605,1,25,26,0.053569,"\int \frac{e^x \left(2 x+2 x^2+\left(-8 x^4-2 x^5\right) \log ^2(5)\right)+e^x \left(-2 x-x^2+\left(2 x^4+x^5\right) \log ^2(5)\right) \log \left(e^x \left(-x+x^4 \log ^2(5)\right)\right)}{\left(-1+x^3 \log ^2(5)\right) \log ^3\left(e^x \left(-x+x^4 \log ^2(5)\right)\right)} \, dx","Integrate[(E^x*(2*x + 2*x^2 + (-8*x^4 - 2*x^5)*Log[5]^2) + E^x*(-2*x - x^2 + (2*x^4 + x^5)*Log[5]^2)*Log[E^x*(-x + x^4*Log[5]^2)])/((-1 + x^3*Log[5]^2)*Log[E^x*(-x + x^4*Log[5]^2)]^3),x]","\frac{e^x x^2}{\log ^2\left(e^x x \left(x^3 \log ^2(5)-1\right)\right)}","\frac{e^x x^2}{\log ^2\left(e^x \left(x^4 \log ^2(5)-x\right)\right)}",1,"(E^x*x^2)/Log[E^x*x*(-1 + x^3*Log[5]^2)]^2","A",1
8606,1,33,24,0.1236472,"\int \frac{\exp \left(\frac{1}{64} \left(16 e^x x+4 x^2+\left(4 e^x x+x^2\right) \log (1-x)\right)\right) \left(-8 x+9 x^2+e^x \left(-16+4 x+16 x^2\right)+\left(-2 x+2 x^2+e^x \left(-4+4 x^2\right)\right) \log (1-x)\right)}{-64+64 x} \, dx","Integrate[(E^((16*E^x*x + 4*x^2 + (4*E^x*x + x^2)*Log[1 - x])/64)*(-8*x + 9*x^2 + E^x*(-16 + 4*x + 16*x^2) + (-2*x + 2*x^2 + E^x*(-4 + 4*x^2))*Log[1 - x]))/(-64 + 64*x),x]","e^{\frac{1}{16} x \left(x+4 e^x\right)} (1-x)^{\frac{1}{64} x \left(x+4 e^x\right)}","e^{\frac{1}{16} \left(\frac{x}{4}+e^x\right) x (\log (1-x)+4)}",1,"E^((x*(4*E^x + x))/16)*(1 - x)^((x*(4*E^x + x))/64)","A",1
8607,1,128,26,0.1281759,"\int \frac{1248+3250 x+2900 x^2+1060 x^3+170 x^4+10 x^5+\left(-625-1000 x-450 x^2-80 x^3-5 x^4\right) \log (5)+e^{x^2} \left(4 x+4 x^2-2 x \log (5)\right)}{-2-2 x+\log (5)} \, dx","Integrate[(1248 + 3250*x + 2900*x^2 + 1060*x^3 + 170*x^4 + 10*x^5 + (-625 - 1000*x - 450*x^2 - 80*x^3 - 5*x^4)*Log[5] + E^x^2*(4*x + 4*x^2 - 2*x*Log[5]))/(-2 - 2*x + Log[5]),x]","-e^{x^2}-\frac{1}{2} x \left(2 x^4+40 x^3+300 x^2+5 x \left(200+4 \log ^2(5)-\log (5) \log (625)\right)+5 \left(250+4 \log ^3(5)+\log ^2(625)-\log ^2(5) (16+\log (625))\right)\right)-\frac{1}{4} \left(-4+20 \log ^4(5)-5 \log ^3(5) (24+\log (625))+10 \log ^2(5) (124+3 \log (625))+540 \log (625)-10 \log (5) (216+31 \log (625))\right) \log (2 x+2-\log (5))","-e^{x^2}-x (x+5)^4+\log (2 x+2-\log (5))",1,"-E^x^2 - (x*(300*x^2 + 40*x^3 + 2*x^4 + 5*x*(200 + 4*Log[5]^2 - Log[5]*Log[625]) + 5*(250 + 4*Log[5]^3 + Log[625]^2 - Log[5]^2*(16 + Log[625]))))/2 - ((-4 + 20*Log[5]^4 + 540*Log[625] - 5*Log[5]^3*(24 + Log[625]) + 10*Log[5]^2*(124 + 3*Log[625]) - 10*Log[5]*(216 + 31*Log[625]))*Log[2 + 2*x - Log[5]])/4","B",1
8608,1,13,13,0.1175275,"\int \frac{x+8 e^{-1+\log ^2(x)} \log (x)}{4 e^{-1+\log ^2(x)} x+x^2} \, dx","Integrate[(x + 8*E^(-1 + Log[x]^2)*Log[x])/(4*E^(-1 + Log[x]^2)*x + x^2),x]","\log \left(e x+4 e^{\log ^2(x)}\right)","\log \left(x+4 e^{\log ^2(x)-1}\right)",1,"Log[4*E^Log[x]^2 + E*x]","A",1
8609,1,38,36,1.9169696,"\int \frac{4 e^{\frac{1}{6} (2+3 x)} x^2+e^{\frac{1}{12} (2+3 x)} \left(-6 x+x^2+x^3\right)+e^{\frac{1}{12} (2+3 x)} \left(8-14 x-2 x^2\right) \log (x)}{16-16 x+4 x^2+4 e^{\frac{1}{6} (2+3 x)} x^2+e^{\frac{1}{12} (2+3 x)} \left(-16 x+8 x^2\right)+\left(32-16 x-16 e^{\frac{1}{12} (2+3 x)} x\right) \log (x)+16 \log ^2(x)} \, dx","Integrate[(4*E^((2 + 3*x)/6)*x^2 + E^((2 + 3*x)/12)*(-6*x + x^2 + x^3) + E^((2 + 3*x)/12)*(8 - 14*x - 2*x^2)*Log[x])/(16 - 16*x + 4*x^2 + 4*E^((2 + 3*x)/6)*x^2 + E^((2 + 3*x)/12)*(-16*x + 8*x^2) + (32 - 16*x - 16*E^((2 + 3*x)/12)*x)*Log[x] + 16*Log[x]^2),x]","\frac{e^{\frac{x}{4}+\frac{1}{6}} (x-1) x}{e^{\frac{x}{4}+\frac{1}{6}} x+x-2 \log (x)-2}","\frac{1-x}{\frac{e^{\frac{1}{4} \left(-x-\frac{2}{3}\right)} (-x+2 \log (x)+2)}{x}-1}",1,"(E^(1/6 + x/4)*(-1 + x)*x)/(-2 + x + E^(1/6 + x/4)*x - 2*Log[x])","A",1
8610,1,34,28,0.1712441,"\int \frac{36 x^3+12 x^4+\left(-36 x^3-9 x^4\right) \log (x)+\left(-18-9 x-x^2\right) \log ^2(5) \log ^3(x)+\left(-18 x^3-6 x^4+\left(18 x^3+6 x^4\right) \log (x)+(9+3 x) \log ^2(5) \log ^3(x)\right) \log (3+x)}{\left(3 x^2+x^3\right) \log ^2(5) \log ^3(x)} \, dx","Integrate[(36*x^3 + 12*x^4 + (-36*x^3 - 9*x^4)*Log[x] + (-18 - 9*x - x^2)*Log[5]^2*Log[x]^3 + (-18*x^3 - 6*x^4 + (18*x^3 + 6*x^4)*Log[x] + (9 + 3*x)*Log[5]^2*Log[x]^3)*Log[3 + x])/((3*x^2 + x^3)*Log[5]^2*Log[x]^3),x]","\frac{\frac{3 x^3 (\log (x+3)-2)}{\log ^2(5) \log ^2(x)}-(x+3) \log (x+3)+6}{x}","\frac{\left(\frac{3 x^3}{\log ^2(5) \log ^2(x)}-x-3\right) (\log (x+3)-2)}{x}",1,"(6 + (3*x^3*(-2 + Log[3 + x]))/(Log[5]^2*Log[x]^2) - (3 + x)*Log[3 + x])/x","A",1
8611,1,23,26,0.8682308,"\int \frac{-2+e^{4 x-4 x^2}+e^{4 x-4 x^2} \left(4-12 x+8 x^2\right) \log (-1+x)}{(-1+x) \log (4) \log ^2(-1+x)} \, dx","Integrate[(-2 + E^(4*x - 4*x^2) + E^(4*x - 4*x^2)*(4 - 12*x + 8*x^2)*Log[-1 + x])/((-1 + x)*Log[4]*Log[-1 + x]^2),x]","\frac{2-e^{-4 (x-1) x}}{\log (4) \log (x-1)}","\frac{2-e^{4 x-4 x^2}}{\log (4) \log (x-1)}",1,"(2 - E^(-4*(-1 + x)*x))/(Log[4]*Log[-1 + x])","A",1
8612,1,19,20,0.0037561,"\int \frac{1}{5} \left(7+60 e^x+10 e^{2 x}+10 x\right) \, dx","Integrate[(7 + 60*E^x + 10*E^(2*x) + 10*x)/5,x]","x^2+\frac{7 x}{5}+12 e^x+e^{2 x}","x^2+\left(e^x+6\right)^2+\frac{7 x}{5}+e^3-2",1,"12*E^x + E^(2*x) + (7*x)/5 + x^2","A",1
8613,1,11,11,0.001815,"\int -\frac{4}{5} e^{-x^2} x \, dx","Integrate[(-4*x)/(5*E^x^2),x]","\frac{2 e^{-x^2}}{5}","\frac{2 e^{-x^2}}{5}",1,"2/(5*E^x^2)","A",1
8614,1,17,17,0.0874173,"\int \frac{-28+22 \log (x)-4 \log ^2(x)}{25 x^2-20 x^2 \log (x)+4 x^2 \log ^2(x)} \, dx","Integrate[(-28 + 22*Log[x] - 4*Log[x]^2)/(25*x^2 - 20*x^2*Log[x] + 4*x^2*Log[x]^2),x]","\frac{1}{x}-\frac{1}{x (2 \log (x)-5)}","\frac{2}{x \left(\frac{1}{\log (x)-3}+2\right)}+1",1,"x^(-1) - 1/(x*(-5 + 2*Log[x]))","A",1
8615,1,21,26,0.2258728,"\int \frac{e^{\frac{1}{2} \left(12-7 x-x^2-2 \log (x)\right)} \left(-108 e^{\frac{1}{2} \left(-12+7 x+x^2+2 \log (x)\right)}-4 x-14 x^2-4 x^3\right)}{9 x^2} \, dx","Integrate[(E^((12 - 7*x - x^2 - 2*Log[x])/2)*(-108*E^((-12 + 7*x + x^2 + 2*Log[x])/2) - 4*x - 14*x^2 - 4*x^3))/(9*x^2),x]","\frac{4 \left(e^{6-\frac{1}{2} x (x+7)}+27\right)}{9 x}","\frac{4 \left(\frac{1}{9} e^{-\frac{1}{2} (x+5) x-x+6}+3\right)}{x}",1,"(4*(27 + E^(6 - (x*(7 + x))/2)))/(9*x)","A",1
8616,1,21,22,0.0245097,"\int \frac{-450 x-60 e^2 x-2 e^4 x+6 e^{\frac{x^2}{225+30 e^2+e^4}} x}{225+30 e^2+e^4} \, dx","Integrate[(-450*x - 60*E^2*x - 2*E^4*x + 6*E^(x^2/(225 + 30*E^2 + E^4))*x)/(225 + 30*E^2 + E^4),x]","3 e^{\frac{x^2}{\left(15+e^2\right)^2}}-x^2","-x^2+3 e^{\frac{x^2}{\left(15+e^2\right)^2}}+4",1,"3*E^(x^2/(15 + E^2)^2) - x^2","A",1
8617,1,40,32,0.0760226,"\int \frac{\left(6 x+12 x^2+4 x^3\right) \log ^2(3 x)+e^{\frac{2 \left(-x^2+x^3\right)}{\log (3 x)}} \left(6 x^2+2 x^3-6 x^4-2 x^5+\left(-12 x^2+2 x^3+20 x^4+6 x^5\right) \log (3 x)+\left(3+8 x+3 x^2\right) \log ^2(3 x)\right)}{\log ^2(3 x)} \, dx","Integrate[((6*x + 12*x^2 + 4*x^3)*Log[3*x]^2 + E^((2*(-x^2 + x^3))/Log[3*x])*(6*x^2 + 2*x^3 - 6*x^4 - 2*x^5 + (-12*x^2 + 2*x^3 + 20*x^4 + 6*x^5)*Log[3*x] + (3 + 8*x + 3*x^2)*Log[3*x]^2))/Log[3*x]^2,x]","x^4+4 x^3+3 x^2+\left(x^2+4 x+3\right) x e^{\frac{2 (x-1) x^2}{\log (3 x)}}","\left((x+2)^2-1\right) \left(x^2+x e^{\frac{2 x \left(x^2-x\right)}{\log (3 x)}}\right)",1,"3*x^2 + 4*x^3 + x^4 + E^((2*(-1 + x)*x^2)/Log[3*x])*x*(3 + 4*x + x^2)","A",1
8618,1,51,26,0.0692853,"\int \frac{84+146 x+60 x^2+\left(-42-73 x-30 x^2\right) \log \left(\frac{1}{31} (28+30 x)\right)+\left(-45 x-15 x^2\right) \log \left(3 x+x^2\right)}{42 x+59 x^2+15 x^3} \, dx","Integrate[(84 + 146*x + 60*x^2 + (-42 - 73*x - 30*x^2)*Log[(28 + 30*x)/31] + (-45*x - 15*x^2)*Log[3*x + x^2])/(42*x + 59*x^2 + 15*x^3),x]","\left(2+\log \left(\frac{31}{2}\right)\right) \log (x)+\left(2+\log \left(\frac{31}{2}\right)\right) \log (x+3)-\log (x (x+3)) \log (15 x+14)-\log \left(\frac{31}{15}\right) \log \left(\frac{31}{2}\right)-\log \left(\frac{961}{225}\right)","\left(2-\log \left(\frac{1}{31} (-x-3)+x+1\right)\right) \log ((x+2) x+x)",1,"-Log[961/225] - Log[31/15]*Log[31/2] + (2 + Log[31/2])*Log[x] + (2 + Log[31/2])*Log[3 + x] - Log[x*(3 + x)]*Log[14 + 15*x]","A",1
8619,1,23,26,0.3784052,"\int \frac{-13 x-x^2+x^3+\left(390+19 x-63 x^2+4 x^3\right) \log \left(\frac{15}{-15+x}\right)}{-2535 x^3-221 x^4+401 x^5+5 x^6-17 x^7+x^8} \, dx","Integrate[(-13*x - x^2 + x^3 + (390 + 19*x - 63*x^2 + 4*x^3)*Log[15/(-15 + x)])/(-2535*x^3 - 221*x^4 + 401*x^5 + 5*x^6 - 17*x^7 + x^8),x]","-\frac{\log \left(\frac{15}{x-15}\right)}{x^2 \left(x^2-x-13\right)}","\frac{\log \left(\frac{5}{\frac{x}{3}-5}\right)}{x^2 \left(-x^2+x+13\right)}",1,"-(Log[15/(-15 + x)]/(x^2*(-13 - x + x^2)))","A",1
8620,1,21,22,0.6070993,"\int \frac{e^{-\frac{5}{x^4 \log \left(-3 x+2 x^5\right)}} \left(-45+150 x^4+\left(-180+120 x^4\right) \log \left(-3 x+2 x^5\right)\right)}{\left(-3 x^5+2 x^9\right) \log ^2\left(-3 x+2 x^5\right)} \, dx","Integrate[(-45 + 150*x^4 + (-180 + 120*x^4)*Log[-3*x + 2*x^5])/(E^(5/(x^4*Log[-3*x + 2*x^5]))*(-3*x^5 + 2*x^9)*Log[-3*x + 2*x^5]^2),x]","3 e^{-\frac{5}{x^4 \log \left(x \left(2 x^4-3\right)\right)}}","3 e^{-\frac{5}{x^4 \log \left(2 \left(x^4-2\right) x+x\right)}}",1,"3/E^(5/(x^4*Log[x*(-3 + 2*x^4)]))","A",1
8621,1,59,24,0.2401533,"\int \frac{2 e^6 (17+8 x-\log (x))}{\left(18 x+4 x^2-x \log (x)\right) \left(54 x+12 x^2-3 x \log (x)+\frac{2 e^6 \left(-18 x-4 x^2+x \log (x)\right)}{18 x+4 x^2-x \log (x)}\right)} \, dx","Integrate[(2*E^6*(17 + 8*x - Log[x]))/((18*x + 4*x^2 - x*Log[x])*(54*x + 12*x^2 - 3*x*Log[x] + (2*E^6*(-18*x - 4*x^2 + x*Log[x]))/(18*x + 4*x^2 - x*Log[x]))),x]","2 e^6 \left(\frac{\log \left(-12 x^2-54 x+3 x \log (x)+2 e^6\right)}{2 e^6}-\frac{\log (x)}{2 e^6}-\frac{\log (4 x-\log (x)+18)}{2 e^6}\right)","\log \left(3-\frac{e^6}{x \left(2 x-\frac{\log (x)}{2}+9\right)}\right)",1,"2*E^6*(-1/2*Log[x]/E^6 - Log[18 + 4*x - Log[x]]/(2*E^6) + Log[2*E^6 - 54*x - 12*x^2 + 3*x*Log[x]]/(2*E^6))","B",1
8622,1,33,30,0.1119286,"\int \frac{e^6 \left(64 x^7-64 x^8+16 x^9\right)+e^x \left(4 e^3 x^2+e^6 \left(-24 x^6+8 x^7\right)\right)+\left(e^{3+x} \left(-12 x^2-4 x^3\right)+e^3 \left(32 x^4-16 x^5\right)\right) \log (x)+4 x \log ^2(x)}{e^6 \left(16 x^6-16 x^7+4 x^8\right)+e^3 \left(8 x^3-4 x^4\right) \log (x)+\log ^2(x)} \, dx","Integrate[(E^6*(64*x^7 - 64*x^8 + 16*x^9) + E^x*(4*E^3*x^2 + E^6*(-24*x^6 + 8*x^7)) + (E^(3 + x)*(-12*x^2 - 4*x^3) + E^3*(32*x^4 - 16*x^5))*Log[x] + 4*x*Log[x]^2)/(E^6*(16*x^6 - 16*x^7 + 4*x^8) + E^3*(8*x^3 - 4*x^4)*Log[x] + Log[x]^2),x]","2 x^2 \left(\frac{2 e^{x+3} x}{2 e^3 (x-2) x^3-\log (x)}+1\right)","2 x \left(\frac{e^x}{x^2-\frac{\log (x)}{2 e^3 x^2}-2 x}+x\right)",1,"2*x^2*(1 + (2*E^(3 + x)*x)/(2*E^3*(-2 + x)*x^3 - Log[x]))","A",1
8623,1,21,21,0.0076531,"\int \frac{96+96 x+4 x^2+8 x^3-2 x^4-2 x^5}{x^3+x^4} \, dx","Integrate[(96 + 96*x + 4*x^2 + 8*x^3 - 2*x^4 - 2*x^5)/(x^3 + x^4),x]","-x^2-\frac{48}{x^2}+4 \log (x)+4 \log (x+1)","-x^2+4 \left(\log \left(x^2+x\right)-\frac{12}{x^2}\right)+6",1,"-48/x^2 - x^2 + 4*Log[x] + 4*Log[1 + x]","A",1
8624,1,26,27,0.1151224,"\int \frac{24-6 x+\left(12+24 x-6 x^2\right) \log \left(\frac{2}{x^2}\right)+(12-3 x) \log \left(\frac{2}{x^2}\right) \log \left(-\frac{x}{(-4+x) \log \left(\frac{2}{x^2}\right)}\right)}{\left(-4 x^4+x^5\right) \log \left(\frac{2}{x^2}\right)+\left(-8 x^3+2 x^4\right) \log \left(\frac{2}{x^2}\right) \log \left(-\frac{x}{(-4+x) \log \left(\frac{2}{x^2}\right)}\right)+\left(-4 x^2+x^3\right) \log \left(\frac{2}{x^2}\right) \log ^2\left(-\frac{x}{(-4+x) \log \left(\frac{2}{x^2}\right)}\right)} \, dx","Integrate[(24 - 6*x + (12 + 24*x - 6*x^2)*Log[2/x^2] + (12 - 3*x)*Log[2/x^2]*Log[-(x/((-4 + x)*Log[2/x^2]))])/((-4*x^4 + x^5)*Log[2/x^2] + (-8*x^3 + 2*x^4)*Log[2/x^2]*Log[-(x/((-4 + x)*Log[2/x^2]))] + (-4*x^2 + x^3)*Log[2/x^2]*Log[-(x/((-4 + x)*Log[2/x^2]))]^2),x]","\frac{3}{x \left(\log \left(-\frac{x}{(x-4) \log \left(\frac{2}{x^2}\right)}\right)+x\right)}","\frac{3}{x \left(\log \left(\frac{x}{(4-x) \log \left(\frac{2}{x^2}\right)}\right)+x\right)}",1,"3/(x*(x + Log[-(x/((-4 + x)*Log[2/x^2]))]))","A",1
8625,1,22,22,0.6655416,"\int \frac{1+x+e^x \left(1+2 x-x^2\right)+e^{x^2} \left(-2 x^2+e^x \left(x-2 x^2\right)\right)-e^x x \log (x)}{x+e^{2 x^2} x-2 x^2+x^3+e^{x^2} \left(2 x-2 x^2\right)+\left(-2 x-2 e^{x^2} x+2 x^2\right) \log (x)+x \log ^2(x)} \, dx","Integrate[(1 + x + E^x*(1 + 2*x - x^2) + E^x^2*(-2*x^2 + E^x*(x - 2*x^2)) - E^x*x*Log[x])/(x + E^(2*x^2)*x - 2*x^2 + x^3 + E^x^2*(2*x - 2*x^2) + (-2*x - 2*E^x^2*x + 2*x^2)*Log[x] + x*Log[x]^2),x]","\frac{e^x+1}{e^{x^2}-x-\log (x)+1}","\frac{e^x+1}{e^{x^2}-x-\log (x)+1}",1,"(1 + E^x)/(1 + E^x^2 - x - Log[x])","A",1
8626,1,22,19,0.1228449,"\int \frac{e^8 (-3-2 x)-3 x-x^2+e^x \left(3+x+e^8 (4+x)\right)}{-3 x-x^2+e^x (3+x)} \, dx","Integrate[(E^8*(-3 - 2*x) - 3*x - x^2 + E^x*(3 + x + E^8*(4 + x)))/(-3*x - x^2 + E^x*(3 + x)),x]","x+e^8 \log \left(e^x-x\right)+e^8 \log (x+3)","x+e^8 \log \left((x+3) \left(x-e^x\right)\right)+2",1,"x + E^8*Log[E^x - x] + E^8*Log[3 + x]","A",1
8627,1,16,16,0.0880058,"\int \frac{216 e^x x^3+e^x \left(-864 x^3-216 x^4\right) \log (x)+e^x \log ^2(x)}{\log ^2(x)} \, dx","Integrate[(216*E^x*x^3 + E^x*(-864*x^3 - 216*x^4)*Log[x] + E^x*Log[x]^2)/Log[x]^2,x]","e^x-\frac{216 e^x x^4}{\log (x)}","e^x-\frac{216 e^x x^4}{\log (x)}",1,"E^x - (216*E^x*x^4)/Log[x]","A",1
8628,1,13,21,0.0047368,"\int \frac{5 e^{\left.\frac{5}{4}\right/x}+4 x^2}{4 x^2} \, dx","Integrate[(5*E^(5/(4*x)) + 4*x^2)/(4*x^2),x]","x-e^{\left.\frac{5}{4}\right/x}","x-e^{\left.\frac{5}{4}\right/x}+\frac{e^{25}}{3}+4",1,"-E^(5/(4*x)) + x","A",1
8629,0,0,24,2.7805784,"\int \frac{\left(-48 x+2 x^2+2 x^3\right) \log (x)+\left(-48 x+3 x^2+4 x^3\right) \log ^2(x)}{-64+\left(-24 x^2+x^3+x^4\right) \log ^2(x)} \, dx","Integrate[((-48*x + 2*x^2 + 2*x^3)*Log[x] + (-48*x + 3*x^2 + 4*x^3)*Log[x]^2)/(-64 + (-24*x^2 + x^3 + x^4)*Log[x]^2),x]","\int \frac{\left(-48 x+2 x^2+2 x^3\right) \log (x)+\left(-48 x+3 x^2+4 x^3\right) \log ^2(x)}{-64+\left(-24 x^2+x^3+x^4\right) \log ^2(x)} \, dx","\log \left(\frac{1}{2} x^2 \left(12-\frac{1}{2} x (x+1)\right) \log ^2(x)+16\right)",1,"Integrate[((-48*x + 2*x^2 + 2*x^3)*Log[x] + (-48*x + 3*x^2 + 4*x^3)*Log[x]^2)/(-64 + (-24*x^2 + x^3 + x^4)*Log[x]^2), x]","F",-1
8630,1,24,23,0.1305812,"\int \frac{6 x^2-4 x \log (2)+e^x \left(-4 x-2 x^2+(2+2 x) \log (2)\right)+e^{7 x} \left(-4 x^2-2 x \log (2)+e^x \left(5 x-x^2+(1+x) \log (2)\right)\right)+\left(-4 x+e^x (2+2 x)+e^{7 x} \left(-2 x+e^x (1+x)\right)\right) \log \left(2+e^{7 x}\right)}{2+e^{7 x}} \, dx","Integrate[(6*x^2 - 4*x*Log[2] + E^x*(-4*x - 2*x^2 + (2 + 2*x)*Log[2]) + E^(7*x)*(-4*x^2 - 2*x*Log[2] + E^x*(5*x - x^2 + (1 + x)*Log[2])) + (-4*x + E^x*(2 + 2*x) + E^(7*x)*(-2*x + E^x*(1 + x)))*Log[2 + E^(7*x)])/(2 + E^(7*x)),x]","-\left(\left(e^x-x\right) x \left(x-\log \left(2 e^{7 x}+4\right)\right)\right)","\left(e^x-x\right) x \left(-x+\log \left(e^{7 x}+2\right)+\log (2)\right)",1,"-((E^x - x)*x*(x - Log[4 + 2*E^(7*x)]))","A",1
8631,1,21,18,0.0790235,"\int e^{x-25 x^3+10 x^4-x^5} \left(1+x-75 x^3+40 x^4-5 x^5\right) \, dx","Integrate[E^(x - 25*x^3 + 10*x^4 - x^5)*(1 + x - 75*x^3 + 40*x^4 - 5*x^5),x]","e^{-x^5+10 x^4-25 x^3+x} x","e^{x-(5-x)^2 x^3} x",1,"E^(x - 25*x^3 + 10*x^4 - x^5)*x","A",1
8632,1,57,35,1.0693841,"\int \frac{\left(-144 x+72 x^2-9 x^3\right) \log (3)+\left(-24 x^2+6 x^3\right) \log (3) \log (x)-x^3 \log (3) \log ^2(x)+\exp \left(\exp \left(\frac{\left(12 x-3 x^2\right) \log (3)+\left(6-2 x+x^2 \log (3)\right) \log (x)}{(12-3 x) \log (3)+x \log (3) \log (x)}\right)+\frac{\left(12 x-3 x^2\right) \log (3)+\left(6-2 x+x^2 \log (3)\right) \log (x)}{(12-3 x) \log (3)+x \log (3) \log (x)}\right) \left(72-42 x+6 x^2+\left(144 x-72 x^2+9 x^3\right) \log (3)+\left(-6 x+\left(24 x^2-6 x^3\right) \log (3)\right) \log (x)+\left(-6 x+x^3 \log (3)\right) \log ^2(x)\right)}{\left(144 x-72 x^2+9 x^3\right) \log (3)+\left(24 x^2-6 x^3\right) \log (3) \log (x)+x^3 \log (3) \log ^2(x)} \, dx","Integrate[((-144*x + 72*x^2 - 9*x^3)*Log[3] + (-24*x^2 + 6*x^3)*Log[3]*Log[x] - x^3*Log[3]*Log[x]^2 + E^(E^(((12*x - 3*x^2)*Log[3] + (6 - 2*x + x^2*Log[3])*Log[x])/((12 - 3*x)*Log[3] + x*Log[3]*Log[x])) + ((12*x - 3*x^2)*Log[3] + (6 - 2*x + x^2*Log[3])*Log[x])/((12 - 3*x)*Log[3] + x*Log[3]*Log[x]))*(72 - 42*x + 6*x^2 + (144*x - 72*x^2 + 9*x^3)*Log[3] + (-6*x + (24*x^2 - 6*x^3)*Log[3])*Log[x] + (-6*x + x^3*Log[3])*Log[x]^2))/((144*x - 72*x^2 + 9*x^3)*Log[3] + (24*x^2 - 6*x^3)*Log[3]*Log[x] + x^3*Log[3]*Log[x]^2),x]","\frac{\log (3) \exp \left(\exp \left(\frac{\left(x^2 \log (3)-2 x+6\right) \log (x)-3 (x-4) x \log (3)}{\log (3) (-3 x+x \log (x)+12)}\right)\right)-x \log (3)}{\log (3)}","\exp \left(\exp \left(x+\frac{2 (x-3)}{\log (3) \left(\frac{3 (x-4)}{\log (x)}-x\right)}\right)\right)-x+5",1,"(E^E^((-3*(-4 + x)*x*Log[3] + (6 - 2*x + x^2*Log[3])*Log[x])/(Log[3]*(12 - 3*x + x*Log[x])))*Log[3] - x*Log[3])/Log[3]","A",1
8633,0,0,31,4.0662279,"\int \frac{5^{\left(2-e^{2 x}\right) x^x} \left(2-e^{2 x}\right) x^{x+\left(2-e^{2 x}\right) x^x} \left(-2+e^{2 x}+\left(-2 x+3 e^{2 x} x+\left(-2 x+e^{2 x} x\right) \log (x)\right) \log (5 x)\right)}{-2 x+e^{2 x} x} \, dx","Integrate[(5^((2 - E^(2*x))*x^x)*(2 - E^(2*x))*x^(x + (2 - E^(2*x))*x^x)*(-2 + E^(2*x) + (-2*x + 3*E^(2*x)*x + (-2*x + E^(2*x)*x)*Log[x])*Log[5*x]))/(-2*x + E^(2*x)*x),x]","\int \frac{5^{\left(2-e^{2 x}\right) x^x} \left(2-e^{2 x}\right) x^{x+\left(2-e^{2 x}\right) x^x} \left(-2+e^{2 x}+\left(-2 x+3 e^{2 x} x+\left(-2 x+e^{2 x} x\right) \log (x)\right) \log (5 x)\right)}{-2 x+e^{2 x} x} \, dx","5^{\left(2-e^{2 x}\right) x^x} x^{\left(2-e^{2 x}\right) x^x}",1,"Integrate[(5^((2 - E^(2*x))*x^x)*(2 - E^(2*x))*x^(x + (2 - E^(2*x))*x^x)*(-2 + E^(2*x) + (-2*x + 3*E^(2*x)*x + (-2*x + E^(2*x)*x)*Log[x])*Log[5*x]))/(-2*x + E^(2*x)*x), x]","F",-1
8634,1,13,12,0.0086526,"\int \frac{3-2 x+2 x \log (4)}{3 x-x^2+x^2 \log (4)} \, dx","Integrate[(3 - 2*x + 2*x*Log[4])/(3*x - x^2 + x^2*Log[4]),x]","\log (x)+\log (-x+x \log (4)+3)","\log (x (-x+x \log (4)+3))",1,"Log[x] + Log[3 - x + x*Log[4]]","A",1
8635,1,17,23,0.215785,"\int \frac{-15-15 x+(-15-10 x) \log (x)}{x^4+\left(6 x^3+2 x^4\right) \log (x)+\left(9 x^2+6 x^3+x^4\right) \log ^2(x)} \, dx","Integrate[(-15 - 15*x + (-15 - 10*x)*Log[x])/(x^4 + (6*x^3 + 2*x^4)*Log[x] + (9*x^2 + 6*x^3 + x^4)*Log[x]^2),x]","\frac{5}{x (x+x \log (x)+3 \log (x))}","\frac{4}{x+\frac{1}{5} x (4 (x+(x+3) \log (x))-5)}",1,"5/(x*(x + 3*Log[x] + x*Log[x]))","A",1
8636,1,8,8,0.0010328,"\int -\frac{1}{-34+x} \, dx","Integrate[-(-34 + x)^(-1),x]","-\log (34-x)","-\log (34-x)",1,"-Log[34 - x]","A",1
8637,1,8,9,0.000743,"\int \frac{2-2 x}{x} \, dx","Integrate[(2 - 2*x)/x,x]","2 \log (x)-2 x","\log \left(x^2\right)-2 x-6",1,"-2*x + 2*Log[x]","A",1
8638,1,33,20,0.0078365,"\int \frac{54 e x+(6-36 e x) \log (5)+(-2+6 e x) \log ^2(5)}{3 e \log ^2(5)} \, dx","Integrate[(54*E*x + (6 - 36*E*x)*Log[5] + (-2 + 6*E*x)*Log[5]^2)/(3*E*Log[5]^2),x]","\frac{2 (\log (5)-3) \left(\frac{3}{2} e x^2 (\log (5)-3)-x \log (5)\right)}{3 e \log ^2(5)}","\left(-x+\frac{3 x}{\log (5)}+\frac{1}{3 e}\right)^2",1,"(2*(-3 + Log[5])*((3*E*x^2*(-3 + Log[5]))/2 - x*Log[5]))/(3*E*Log[5]^2)","A",1
8639,1,17,21,0.020886,"\int \frac{243 x^4+3^x (-4 e+4 e x \log (3))}{9 x^2} \, dx","Integrate[(243*x^4 + 3^x*(-4*E + 4*E*x*Log[3]))/(9*x^2),x]","9 x^3+\frac{4 e 3^{x-2}}{x}","9 x^3+\frac{e \left(x+4\ 3^x\right)}{9 x}",1,"(4*3^(-2 + x)*E)/x + 9*x^3","A",1
8640,1,20,29,0.1798194,"\int \frac{-30 x+100 x^2+400 x^3+(6-2 x) \log (x)+\left(-19 x-80 x^2\right) \log ^2(x)+(1+4 x) \log ^4(x)}{100 x^3-20 x^2 \log ^2(x)+x \log ^4(x)} \, dx","Integrate[(-30*x + 100*x^2 + 400*x^3 + (6 - 2*x)*Log[x] + (-19*x - 80*x^2)*Log[x]^2 + (1 + 4*x)*Log[x]^4)/(100*x^3 - 20*x^2*Log[x]^2 + x*Log[x]^4),x]","4 x+\frac{x-3}{\log ^2(x)-10 x}+\log (x)","-x+5 (x+4)-\frac{3-x}{\log ^2(x)-10 x}+\log (x)+1",1,"4*x + Log[x] + (-3 + x)/(-10*x + Log[x]^2)","A",1
8641,1,26,25,0.0514845,"\int \frac{-3-3 x^2+e^{3+9 x+6 x^2+x^3} \left(-1+9 x+12 x^2+3 x^3\right)}{x^2} \, dx","Integrate[(-3 - 3*x^2 + E^(3 + 9*x + 6*x^2 + x^3)*(-1 + 9*x + 12*x^2 + 3*x^3))/x^2,x]","\frac{-3 x^2+e^{x^3+6 x^2+9 x+3}+3}{x}","\frac{-x+e^{x (x+3)^2+3}+3}{x}-3 x+2",1,"(3 + E^(3 + 9*x + 6*x^2 + x^3) - 3*x^2)/x","A",1
8642,1,24,21,0.1746388,"\int \frac{-2 e^{-6-x}+2 x+\left(-x-e^{-6-x} x\right) \log \left(196 x^2\right)}{\left(e^{-6-x} x-x^2\right) \log \left(196 x^2\right)} \, dx","Integrate[(-2*E^(-6 - x) + 2*x + (-x - E^(-6 - x)*x)*Log[196*x^2])/((E^(-6 - x)*x - x^2)*Log[196*x^2]),x]","-\log \left(\log \left(196 x^2\right)\right)-x+\log \left(1-e^{x+6} x\right)","\log \left(\frac{e^{-x-6}-x}{\log \left(196 x^2\right)}\right)",1,"-x + Log[1 - E^(6 + x)*x] - Log[Log[196*x^2]]","A",1
8643,1,48,32,0.1099336,"\int \frac{-2 x^2+2 x^3+4 x^4-2 x^5+e^3 \left(4 x^3-2 x^4\right)+e^6 \left(x^2-2 e^3 x^3-2 x^4\right)+\left(1+2 e^3 x+2 x^2\right) \log (2)}{2 x^3-e^6 x^3-x^4+x \log (2)} \, dx","Integrate[(-2*x^2 + 2*x^3 + 4*x^4 - 2*x^5 + E^3*(4*x^3 - 2*x^4) + E^6*(x^2 - 2*E^3*x^3 - 2*x^4) + (1 + 2*E^3*x + 2*x^2)*Log[2])/(2*x^3 - E^6*x^3 - x^4 + x*Log[2]),x]","-\text{RootSum}\left[-\text{$\#$1}^3-e^6 \text{$\#$1}^2+2 \text{$\#$1}^2+\log (2)\&,\log (x-\text{$\#$1})\&\right]+x \left(x+2 e^3\right)+\log (x)","\left(x+e^3\right)^2-\log \left(-x^2-e^6 x+2 x+\frac{\log (2)}{x}\right)",1,"x*(2*E^3 + x) + Log[x] - RootSum[Log[2] + 2*#1^2 - E^6*#1^2 - #1^3 & , Log[x - #1] & ]","C",1
8644,1,21,23,0.0101841,"\int \frac{e^{1+e} \left(-24 x+12 \log ^2(4)\right)}{25+10 x^2+x^4+\left(-10 x-2 x^3\right) \log ^2(4)+x^2 \log ^4(4)} \, dx","Integrate[(E^(1 + E)*(-24*x + 12*Log[4]^2))/(25 + 10*x^2 + x^4 + (-10*x - 2*x^3)*Log[4]^2 + x^2*Log[4]^4),x]","\frac{12 e^{1+e}}{x^2-x \log ^2(4)+5}","\frac{12 e^{1+e}}{x^2-x \log ^2(4)+5}+3",1,"(12*E^(1 + E))/(5 + x^2 - x*Log[4]^2)","A",1
8645,1,19,19,0.2372435,"\int \frac{-6+3 x+(-3 x+(12-6 x) \log (4)) \log (x)+(12-6 x) \log (x) \log \left(\frac{-2+x}{\log (x)}\right)}{\left(-2 x^3+x^4\right) \log ^2(4) \log (x)+\left(-4 x^3+2 x^4\right) \log (4) \log (x) \log \left(\frac{-2+x}{\log (x)}\right)+\left(-2 x^3+x^4\right) \log (x) \log ^2\left(\frac{-2+x}{\log (x)}\right)} \, dx","Integrate[(-6 + 3*x + (-3*x + (12 - 6*x)*Log[4])*Log[x] + (12 - 6*x)*Log[x]*Log[(-2 + x)/Log[x]])/((-2*x^3 + x^4)*Log[4]^2*Log[x] + (-4*x^3 + 2*x^4)*Log[4]*Log[x]*Log[(-2 + x)/Log[x]] + (-2*x^3 + x^4)*Log[x]*Log[(-2 + x)/Log[x]]^2),x]","\frac{3}{x^2 \left(\log \left(\frac{x-2}{\log (x)}\right)+\log (4)\right)}","\frac{3}{x^2 \left(\log \left(\frac{x-2}{\log (x)}\right)+\log (4)\right)}",1,"3/(x^2*(Log[4] + Log[(-2 + x)/Log[x]]))","A",1
8646,1,42,26,0.1087094,"\int \frac{-196 x-x^2+51 x^3+x^4+x^5+e^{2 x} \left(-1+2 x+x^2+x^3\right)+e^x \left(-49-149 x+53 x^2+2 x^3+2 x^4\right)+\left(49 x+48 x^3+2 x^4+3 x^5+e^{2 x} \left(-x+2 x^2+3 x^3\right)+e^x \left(49 x+96 x^2-45 x^3+6 x^4\right)\right) \log (x)}{e^{2 x} x+2 e^x x^2+x^3} \, dx","Integrate[(-196*x - x^2 + 51*x^3 + x^4 + x^5 + E^(2*x)*(-1 + 2*x + x^2 + x^3) + E^x*(-49 - 149*x + 53*x^2 + 2*x^3 + 2*x^4) + (49*x + 48*x^3 + 2*x^4 + 3*x^5 + E^(2*x)*(-x + 2*x^2 + 3*x^3) + E^x*(49*x + 96*x^2 - 45*x^3 + 6*x^4))*Log[x])/(E^(2*x)*x + 2*E^x*x^2 + x^3),x]","\frac{3 \left(x^2+e^x x+49\right)+\left(x^2-1\right) \left(x^2+x+e^x (x+1)+49\right) \log (x)}{x+e^x}","\left(x+\frac{49}{x+e^x}+1\right) \left(x \left(x-\frac{1}{x}\right) \log (x)+3\right)",1,"(3*(49 + E^x*x + x^2) + (-1 + x^2)*(49 + x + x^2 + E^x*(1 + x))*Log[x])/(E^x + x)","A",1
8647,1,19,19,0.0022139,"\int \frac{\log (\log (5 (i \pi +\log (4))))}{4+4 x+x^2} \, dx","Integrate[Log[Log[5*(I*Pi + Log[4])]]/(4 + 4*x + x^2),x]","-\frac{\log (\log (5 (\log (4)+i \pi )))}{x+2}","-\frac{\log (\log (5 (\log (4)+i \pi )))}{x+2}",1,"-(Log[Log[5*(I*Pi + Log[4])]]/(2 + x))","A",1
8648,1,12,25,0.0000651,"\int 5 (i \pi +\log (4)) \, dx","Integrate[5*(I*Pi + Log[4]),x]","5 x \log (4)+5 i \pi  x","5 \left(-5+(\log (4)+i \pi ) \left(x-\frac{\log ^2(5)}{\log ^2(3)}\right)\right)",1,"(5*I)*Pi*x + 5*x*Log[4]","A",1
8649,1,20,21,0.125663,"\int \frac{e^{\frac{20-55 x+e^4 x+5 x^2-5 x^4}{x}} \left(-20+5 x^2-15 x^4\right)}{x^2} \, dx","Integrate[(E^((20 - 55*x + E^4*x + 5*x^2 - 5*x^4)/x)*(-20 + 5*x^2 - 15*x^4))/x^2,x]","e^{-5 x^3+5 x+\frac{20}{x}+e^4-55}","e^{e^4-5 \left(x^3-x-\frac{4}{x}+11\right)}",1,"E^(-55 + E^4 + 20/x + 5*x - 5*x^3)","A",1
8650,1,29,27,0.1013376,"\int e^{-x} \left(-1-20 e^{3 x}+4 e^{5 x}+e^x (8-2 x)+x\right) \, dx","Integrate[(-1 - 20*E^(3*x) + 4*E^(5*x) + E^x*(8 - 2*x) + x)/E^x,x]","-x^2-e^{-x} x+8 x-10 e^{2 x}+e^{4 x}","\left(5-e^{2 x}\right)^2-(x-4)^2-e^{-x} x",1,"-10*E^(2*x) + E^(4*x) + 8*x - x/E^x - x^2","A",1
8651,1,52,25,0.6204235,"\int \frac{3125000-906250 x+e^{x+4 x^2} \left(2343750+23875000 x-9172500 x^2+618550 x^3-11600 x^4\right)+e^{2 x+8 x^2} \left(-781250-6156250 x+746250 x^2-29950 x^3+400 x^4\right)}{-15625+1875 x-75 x^2+x^3} \, dx","Integrate[(3125000 - 906250*x + E^(x + 4*x^2)*(2343750 + 23875000*x - 9172500*x^2 + 618550*x^3 - 11600*x^4) + E^(2*x + 8*x^2)*(-781250 - 6156250*x + 746250*x^2 - 29950*x^3 + 400*x^4))/(-15625 + 1875*x - 75*x^2 + x^3),x]","\frac{25 \left(-2 e^{4 x^2+x} \left(29 x^2-825 x+2500\right)+e^{2 x (4 x+1)} (x-25)^2+625 (58 x-825)\right)}{(x-25)^2}","25 \left(-e^{4 x^2+x}+\frac{25 x}{x-25}+4\right)^2",1,"(25*(E^(2*x*(1 + 4*x))*(-25 + x)^2 + 625*(-825 + 58*x) - 2*E^(x + 4*x^2)*(2500 - 825*x + 29*x^2)))/(-25 + x)^2","B",1
8652,1,42,33,0.4340135,"\int \frac{-6+4 x+45 x^2+5 e^{8-2 x} x^2-30 x^3+5 x^4+e^{4-x} \left(2-2 x-30 x^2+10 x^3\right)}{9 x^2+e^{8-2 x} x^2-6 x^3+x^4+e^{4-x} \left(-6 x^2+2 x^3\right)} \, dx","Integrate[(-6 + 4*x + 45*x^2 + 5*E^(8 - 2*x)*x^2 - 30*x^3 + 5*x^4 + E^(4 - x)*(2 - 2*x - 30*x^2 + 10*x^3))/(9*x^2 + E^(8 - 2*x)*x^2 - 6*x^3 + x^4 + E^(4 - x)*(-6*x^2 + 2*x^3)),x]","\frac{5 e^4 x^2+e^x \left(5 x^3-15 x^2-2\right)}{\left(e^x (x-3)+e^4\right) x}","x^2+(4-x) x+x+\frac{2}{\left(-x-e^{4-x}+3\right) x}",1,"(5*E^4*x^2 + E^x*(-2 - 15*x^2 + 5*x^3))/((E^4 + E^x*(-3 + x))*x)","A",1
8653,1,182,22,0.575328,"\int \frac{2 x^3 \log ^2(3)-4 x \log ^3(3)+\left(-2 x^5 \log (3)+14 x^3 \log ^2(3)\right) \log (x)-12 x^5 \log (3) \log ^2(x)+2 x^7 \log ^3(x)}{-8 \log ^3(3)+12 x^2 \log ^2(3) \log (x)-6 x^4 \log (3) \log ^2(x)+x^6 \log ^3(x)} \, dx","Integrate[(2*x^3*Log[3]^2 - 4*x*Log[3]^3 + (-2*x^5*Log[3] + 14*x^3*Log[3]^2)*Log[x] - 12*x^5*Log[3]*Log[x]^2 + 2*x^7*Log[x]^3)/(-8*Log[3]^3 + 12*x^2*Log[3]^2*Log[x] - 6*x^4*Log[3]*Log[x]^2 + x^6*Log[x]^3),x]","\frac{x^2 \left(-\left(x^6 \left(\log ^2(3)-\log ^2(9)+\log (3) \log (9)\right)\right)+x^4 \left(\log ^3(9)+\log ^2(3) \log (81)\right)+4 x^2 \log ^2(9) \left(\log ^2(3)+\log ^2(9)-\log (3) \log (9)\right)+x^4 \left(x^2+\log (81)\right)^3 \log ^2(x)-\left(x^8 \log (9)+6 x^6 \left(2 \log ^2(3)+\log ^2(9)-\log (3) \log (9)\right)+8 x^4 \log (9) \left(4 \log ^2(3)+\log ^2(9)-\log (3) \log (9)\right)+32 x^2 \log ^2(3) \log ^2(9)\right) \log (x)+8 \log ^2(3) \log ^3(9)\right)}{\left(x^2+\log (81)\right)^3 \left(\log (9)-x^2 \log (x)\right)^2}","\left(x-\frac{x}{2-\frac{x^2 \log (x)}{\log (3)}}\right)^2",1,"(x^2*(8*Log[3]^2*Log[9]^3 - x^6*(Log[3]^2 + Log[3]*Log[9] - Log[9]^2) + 4*x^2*Log[9]^2*(Log[3]^2 - Log[3]*Log[9] + Log[9]^2) + x^4*(Log[9]^3 + Log[3]^2*Log[81]) - (x^8*Log[9] + 32*x^2*Log[3]^2*Log[9]^2 + 6*x^6*(2*Log[3]^2 - Log[3]*Log[9] + Log[9]^2) + 8*x^4*Log[9]*(4*Log[3]^2 - Log[3]*Log[9] + Log[9]^2))*Log[x] + x^4*(x^2 + Log[81])^3*Log[x]^2))/((x^2 + Log[81])^3*(Log[9] - x^2*Log[x])^2)","B",0
8654,1,25,31,0.0828328,"\int \frac{1}{8} \left(36 x-4 e^4 x-4 x \log (4)+\left(72 x-8 e^4 x-8 x \log (4)\right) \log (x)+e^{e^{x/4}} \left(-4 x+\left(-8 x-e^{x/4} x^2\right) \log (x)\right)\right) \, dx","Integrate[(36*x - 4*E^4*x - 4*x*Log[4] + (72*x - 8*E^4*x - 8*x*Log[4])*Log[x] + E^E^(x/4)*(-4*x + (-8*x - E^(x/4)*x^2)*Log[x]))/8,x]","-\frac{1}{2} x^2 \left(e^{e^{x/4}}-9+e^4+\log (4)\right) \log (x)","\frac{1}{2} x^2 \left(-e^{e^{x/4}}+9-e^4-\log (4)\right) \log (x)",1,"-1/2*(x^2*(-9 + E^4 + E^E^(x/4) + Log[4])*Log[x])","A",1
8655,1,43,30,0.1871907,"\int \frac{1}{7} \exp \left(\frac{1}{7} \left(e^{e^x-x} \left(-28+7 e^{4 x}-x\right)+35 x-7 e^{4 x} x+x^2\right)\right) \left(35+e^{4 x} (-7-28 x)+2 x+e^{e^x-x} \left(27+e^{4 x} \left(21+7 e^x\right)+e^x (-28-x)+x\right)\right) \, dx","Integrate[(E^((E^(E^x - x)*(-28 + 7*E^(4*x) - x) + 35*x - 7*E^(4*x)*x + x^2)/7)*(35 + E^(4*x)*(-7 - 28*x) + 2*x + E^(E^x - x)*(27 + E^(4*x)*(21 + 7*E^x) + E^x*(-28 - x) + x)))/7,x]","\exp \left(\frac{1}{7} \left(x^2-7 e^{4 x} x+35 x+e^{e^x-x} \left(-x+7 e^{4 x}-28\right)\right)\right)","e^{\left(e^{e^x-x}-x\right) \left(-\frac{x}{7}+e^{4 x}-4\right)+x}",1,"E^((E^(E^x - x)*(-28 + 7*E^(4*x) - x) + 35*x - 7*E^(4*x)*x + x^2)/7)","A",1
8656,1,6,10,0.0010561,"\int -\frac{1}{7+x} \, dx","Integrate[-(7 + x)^(-1),x]","-\log (x+7)","8-\log (-x-7)",1,"-Log[7 + x]","A",1
8657,1,14,16,0.0000674,"\int \left(-1-60 x+900 x^3\right) \, dx","Integrate[-1 - 60*x + 900*x^3,x]","225 x^4-30 x^2-x","\left(15 x^2-1\right)^2-x-3+\log (9)",1,"-x - 30*x^2 + 225*x^4","A",1
8658,1,23,19,0.0567979,"\int \frac{5 x^2+e^x \left(1225 x^2+245 x^3+e^{5/x} \left(-1225+245 x^2\right)\right)}{x^2} \, dx","Integrate[(5*x^2 + E^x*(1225*x^2 + 245*x^3 + E^(5/x)*(-1225 + 245*x^2)))/x^2,x]","5 x+245 e^{x+\frac{5}{x}}+245 e^x (x+4)","5 \left(x+49 e^x \left(x+e^{5/x}+4\right)\right)",1,"245*E^(5/x + x) + 5*x + 245*E^x*(4 + x)","A",1
8659,1,20,22,0.0363769,"\int \frac{128-16 e^x}{\left(-80+4 e^x-32 x+\left(-20+e^x-8 x\right) \log \left(\frac{1}{4} \left(100-5 e^x+40 x\right)\right)\right) \log ^2\left(4+\log \left(\frac{1}{4} \left(100-5 e^x+40 x\right)\right)\right)} \, dx","Integrate[(128 - 16*E^x)/((-80 + 4*E^x - 32*x + (-20 + E^x - 8*x)*Log[(100 - 5*E^x + 40*x)/4])*Log[4 + Log[(100 - 5*E^x + 40*x)/4]]^2),x]","\frac{16}{\log \left(\log \left(10 x-\frac{5 e^x}{4}+25\right)+4\right)}","\frac{16}{\log \left(\log \left(5 \left(2 x-\frac{e^x}{4}+5\right)\right)+4\right)}",1,"16/Log[4 + Log[25 - (5*E^x)/4 + 10*x]]","A",1
8660,1,12,14,0.0044635,"\int \frac{-16+9 x+3 x^2}{4 x+x^2} \, dx","Integrate[(-16 + 9*x + 3*x^2)/(4*x + x^2),x]","3 x-4 \log (x)+\log (x+4)","\log \left(\frac{16 (x+4)}{x^4}\right)+3 x+5",1,"3*x - 4*Log[x] + Log[4 + x]","A",1
8661,1,33,25,1.0006126,"\int \frac{-5 x-70 x^2+e^{2 x} x^2+70 x^3+5 x^4+e^x \left(-1-4 x^2+5 x^3\right)}{e^{2 x} x^2+e^x \left(x+15 x^2+x^3\right)} \, dx","Integrate[(-5*x - 70*x^2 + E^(2*x)*x^2 + 70*x^3 + 5*x^4 + E^x*(-1 - 4*x^2 + 5*x^3))/(E^(2*x)*x^2 + E^x*(x + 15*x^2 + x^3)),x]","\log \left(e^{-x} \left(x^2+\left(e^x+15\right) x+1\right)\right)-5 e^{-x} x+x-\log (x)","-5 e^{-x} x+\log \left(\frac{1}{5} \left(x+e^x+\frac{1}{x}\right)+3\right)+2",1,"x - (5*x)/E^x - Log[x] + Log[(1 + (15 + E^x)*x + x^2)/E^x]","A",1
8662,1,17,20,0.0018753,"\int \frac{2-5 x+20 x^4 \log ^2(4)}{x} \, dx","Integrate[(2 - 5*x + 20*x^4*Log[4]^2)/x,x]","5 x^4 \log ^2(4)-5 x+2 \log (x)","5 \left(x^4 \log ^2(4)-x+4\right)+\log \left(x^2\right)",1,"-5*x + 5*x^4*Log[4]^2 + 2*Log[x]","A",1
8663,1,40,33,0.2000473,"\int \frac{\exp \left(\frac{1}{9} \left(9-9 x+6 x^2-x^3-3750 x^4+1250 x^5-390625 x^7\right)\right) \left(-9-9 x+12 x^2-3 x^3-15000 x^4+6250 x^5-2734375 x^7\right)}{9 x^2} \, dx","Integrate[(E^((9 - 9*x + 6*x^2 - x^3 - 3750*x^4 + 1250*x^5 - 390625*x^7)/9)*(-9 - 9*x + 12*x^2 - 3*x^3 - 15000*x^4 + 6250*x^5 - 2734375*x^7))/(9*x^2),x]","\frac{\exp \left(\frac{1}{9} \left(-390625 x^7+1250 x^5-3750 x^4-x^3+6 x^2-9 x+9\right)\right)}{x}","\frac{e^{\frac{x-\frac{1}{9} x^2 \left(3-x \left(1-625 x^2\right)\right)^2}{x}}}{x}",1,"E^((9 - 9*x + 6*x^2 - x^3 - 3750*x^4 + 1250*x^5 - 390625*x^7)/9)/x","A",1
8664,0,0,24,1.4035935,"\int \left(e^x x\right)^{4 x^2} \left(\frac{2 \log (3)}{9}\right)^{4 x^2} \left(4 x+4 x^2+8 x \log \left(\frac{2}{9} e^x x \log (3)\right)\right) \, dx","Integrate[(E^x*x)^(4*x^2)*((2*Log[3])/9)^(4*x^2)*(4*x + 4*x^2 + 8*x*Log[(2*E^x*x*Log[3])/9]),x]","\int \left(e^x x\right)^{4 x^2} \left(\frac{2 \log (3)}{9}\right)^{4 x^2} \left(4 x+4 x^2+8 x \log \left(\frac{2}{9} e^x x \log (3)\right)\right) \, dx","\left(e^x x\right)^{4 x^2} \left(\frac{2 \log (3)}{9}\right)^{4 x^2}",1,"Integrate[(E^x*x)^(4*x^2)*((2*Log[3])/9)^(4*x^2)*(4*x + 4*x^2 + 8*x*Log[(2*E^x*x*Log[3])/9]), x]","F",-1
8665,1,43,26,0.0899212,"\int \frac{-20 x^6+5 x^7+\left(120 x^6-30 x^7\right) \log (5)+\left(-300 x^6+75 x^7\right) \log ^2(5)+\left(400 x^6-100 x^7\right) \log ^3(5)+\left(-300 x^6+75 x^7\right) \log ^4(5)+\left(120 x^6-30 x^7\right) \log ^5(5)+\left(-20 x^6+5 x^7\right) \log ^6(5)+\left(-25 x^4 \log ^2(5)+100 x^4 \log ^3(5)-150 x^4 \log ^4(5)+100 x^4 \log ^5(5)-25 x^4 \log ^6(5)\right) \log (\log (3))}{64 x^6+48 x^7+12 x^8+x^9+\left(-384 x^6-288 x^7-72 x^8-6 x^9\right) \log (5)+\left(960 x^6+720 x^7+180 x^8+15 x^9\right) \log ^2(5)+\left(-1280 x^6-960 x^7-240 x^8-20 x^9\right) \log ^3(5)+\left(960 x^6+720 x^7+180 x^8+15 x^9\right) \log ^4(5)+\left(-384 x^6-288 x^7-72 x^8-6 x^9\right) \log ^5(5)+\left(64 x^6+48 x^7+12 x^8+x^9\right) \log ^6(5)+\left(\left(48 x^4+24 x^5+3 x^6\right) \log ^2(5)+\left(-192 x^4-96 x^5-12 x^6\right) \log ^3(5)+\left(288 x^4+144 x^5+18 x^6\right) \log ^4(5)+\left(-192 x^4-96 x^5-12 x^6\right) \log ^5(5)+\left(48 x^4+24 x^5+3 x^6\right) \log ^6(5)\right) \log (\log (3))+\left(\left(12 x^2+3 x^3\right) \log ^4(5)+\left(-24 x^2-6 x^3\right) \log ^5(5)+\left(12 x^2+3 x^3\right) \log ^6(5)\right) \log ^2(\log (3))+\log ^6(5) \log ^3(\log (3))} \, dx","Integrate[(-20*x^6 + 5*x^7 + (120*x^6 - 30*x^7)*Log[5] + (-300*x^6 + 75*x^7)*Log[5]^2 + (400*x^6 - 100*x^7)*Log[5]^3 + (-300*x^6 + 75*x^7)*Log[5]^4 + (120*x^6 - 30*x^7)*Log[5]^5 + (-20*x^6 + 5*x^7)*Log[5]^6 + (-25*x^4*Log[5]^2 + 100*x^4*Log[5]^3 - 150*x^4*Log[5]^4 + 100*x^4*Log[5]^5 - 25*x^4*Log[5]^6)*Log[Log[3]])/(64*x^6 + 48*x^7 + 12*x^8 + x^9 + (-384*x^6 - 288*x^7 - 72*x^8 - 6*x^9)*Log[5] + (960*x^6 + 720*x^7 + 180*x^8 + 15*x^9)*Log[5]^2 + (-1280*x^6 - 960*x^7 - 240*x^8 - 20*x^9)*Log[5]^3 + (960*x^6 + 720*x^7 + 180*x^8 + 15*x^9)*Log[5]^4 + (-384*x^6 - 288*x^7 - 72*x^8 - 6*x^9)*Log[5]^5 + (64*x^6 + 48*x^7 + 12*x^8 + x^9)*Log[5]^6 + ((48*x^4 + 24*x^5 + 3*x^6)*Log[5]^2 + (-192*x^4 - 96*x^5 - 12*x^6)*Log[5]^3 + (288*x^4 + 144*x^5 + 18*x^6)*Log[5]^4 + (-192*x^4 - 96*x^5 - 12*x^6)*Log[5]^5 + (48*x^4 + 24*x^5 + 3*x^6)*Log[5]^6)*Log[Log[3]] + ((12*x^2 + 3*x^3)*Log[5]^4 + (-24*x^2 - 6*x^3)*Log[5]^5 + (12*x^2 + 3*x^3)*Log[5]^6)*Log[Log[3]]^2 + Log[5]^6*Log[Log[3]]^3),x]","-\frac{5 x^5 (\log (5)-1)^4}{\left(x^3 (\log (5)-1)^2+4 x^2 (\log (5)-1)^2+\log ^2(5) \log (\log (3))\right)^2}","2-\frac{5 x}{\left(x+\frac{\log (\log (3))}{\left(\frac{x}{\log (5)}-x\right)^2}+4\right)^2}",1,"(-5*x^5*(-1 + Log[5])^4)/(4*x^2*(-1 + Log[5])^2 + x^3*(-1 + Log[5])^2 + Log[5]^2*Log[Log[3]])^2","A",1
8666,1,22,20,0.311218,"\int \frac{-11 x^2-4 x^3+e^x \left(4 x^2+4 x^3\right)+\left(-12 x-3 x^2+e^x \left(4 x+4 x^2\right)\right) \log (x)+\left(-3+e^x (1+x)\right) \log ^2(x)}{4 x^2+4 x \log (x)+\log ^2(x)} \, dx","Integrate[(-11*x^2 - 4*x^3 + E^x*(4*x^2 + 4*x^3) + (-12*x - 3*x^2 + E^x*(4*x + 4*x^2))*Log[x] + (-3 + E^x*(1 + x))*Log[x]^2)/(4*x^2 + 4*x*Log[x] + Log[x]^2),x]","-\frac{x^3}{2 x+\log (x)}+e^x x-3 x","x \left(-\frac{x^2}{2 x+\log (x)}+e^x-3\right)",1,"-3*x + E^x*x - x^3/(2*x + Log[x])","A",1
8667,1,27,26,0.0244627,"\int \frac{e^{\left.\frac{1}{3}\right/x} (-4-13 x)+9 x^3}{3 x^3} \, dx","Integrate[(E^(1/(3*x))*(-4 - 13*x) + 9*x^3)/(3*x^3),x]","3 x+e^{\left.\frac{1}{3}\right/x}+\frac{4 e^{\left.\frac{1}{3}\right/x}}{x}","3 x-\frac{x-e^{\left.\frac{1}{3}\right/x} (x+4)}{x}-7",1,"E^(1/(3*x)) + (4*E^(1/(3*x)))/x + 3*x","A",1
8668,1,32,26,0.1351808,"\int \frac{5832+440 e^x+8 e^{2 x}+e^{2 e^{5 e^x}+5 e^x} \left(91125 e^x+6750 e^{2 x}+125 e^{3 x}\right)}{5832+432 e^x+8 e^{2 x}} \, dx","Integrate[(5832 + 440*E^x + 8*E^(2*x) + E^(2*E^(5*E^x) + 5*E^x)*(91125*E^x + 6750*E^(2*x) + 125*E^(3*x)))/(5832 + 432*E^x + 8*E^(2*x)),x]","\frac{1}{8} \left(8 x+\frac{25}{2} e^{2 e^{5 e^x}}-\frac{8}{e^x+27}\right)","x+\frac{25}{16} e^{2 e^{5 e^x}}-\frac{1}{e^x+27}",1,"((25*E^(2*E^(5*E^x)))/2 - 8/(27 + E^x) + 8*x)/8","A",1
8669,1,19,22,0.0360739,"\int \frac{12 x^2+e^{\frac{1-2 x^3+x^2 \log (5)}{x^2}} \left(-2+x^2-2 x^3\right)}{20 x^2} \, dx","Integrate[(12*x^2 + E^((1 - 2*x^3 + x^2*Log[5])/x^2)*(-2 + x^2 - 2*x^3))/(20*x^2),x]","\left(\frac{1}{4} e^{\frac{1}{x^2}-2 x}+\frac{3}{5}\right) x","x-\frac{1}{5} \left(2-\frac{5}{4} e^{\frac{1}{x^2}-2 x}\right) x",1,"(3/5 + E^(x^(-2) - 2*x)/4)*x","A",1
8670,1,38,20,0.396719,"\int \frac{2 x+4 x^2+2 x^3+\left(2 x+6 x^2+4 x^3\right) \log (x) \log (\log (x)) \log \left(\log ^2(\log (x))\right)}{-e^{25} \log (x) \log (\log (x))+\left(x^2+2 x^3+x^4\right) \log (x) \log (\log (x)) \log \left(\log ^2(\log (x))\right)} \, dx","Integrate[(2*x + 4*x^2 + 2*x^3 + (2*x + 6*x^2 + 4*x^3)*Log[x]*Log[Log[x]]*Log[Log[Log[x]]^2])/(-(E^25*Log[x]*Log[Log[x]]) + (x^2 + 2*x^3 + x^4)*Log[x]*Log[Log[x]]*Log[Log[Log[x]]^2]),x]","\log \left(x^4 \left(-\log \left(\log ^2(\log (x))\right)\right)-2 x^3 \log \left(\log ^2(\log (x))\right)-x^2 \log \left(\log ^2(\log (x))\right)+e^{25}\right)","\log \left(e^{25}-\left(x^2+x\right)^2 \log \left(\log ^2(\log (x))\right)\right)",1,"Log[E^25 - x^2*Log[Log[Log[x]]^2] - 2*x^3*Log[Log[Log[x]]^2] - x^4*Log[Log[Log[x]]^2]]","A",1
8671,1,14,24,0.0000794,"\int \left(-10-6 x-4 x^3\right) \, dx","Integrate[-10 - 6*x - 4*x^3,x]","-x^4-3 x^2-10 x","-x \left(x^3-x+2\right)-4 ((x+1) x+x)+e^2",1,"-10*x - 3*x^2 - x^4","A",1
8672,1,31,22,0.1807119,"\int \frac{-4+2 x+11 x^3+\left(1-2 x^3\right) \log (x)+\left(-1-2 x-x^3\right) \log \left(\frac{2+4 x+2 x^3}{x}\right)}{x+2 x^2+x^4} \, dx","Integrate[(-4 + 2*x + 11*x^3 + (1 - 2*x^3)*Log[x] + (-1 - 2*x - x^3)*Log[(2 + 4*x + 2*x^3)/x])/(x + 2*x^2 + x^4),x]","5 \log \left(x^3+2 x+1\right)-\log \left(2 \left(x^2+\frac{1}{x}+2\right)\right) \log (x)-4 \log (x)","(5-\log (x)) \left(\log \left(2 x^2+\frac{2}{x}+4\right)-1\right)",1,"-4*Log[x] - Log[x]*Log[2*(2 + x^(-1) + x^2)] + 5*Log[1 + 2*x + x^3]","A",1
8673,1,21,22,0.0108972,"\int \frac{x+e^x (-2-2 x) x-4 x^2 \log (x)-4 x^2 \log ^2(x)}{2 x} \, dx","Integrate[(x + E^x*(-2 - 2*x)*x - 4*x^2*Log[x] - 4*x^2*Log[x]^2)/(2*x),x]","-x^2 \log ^2(x)-e^x x+\frac{x}{2}","-x^2 \log ^2(x)-e^x x+\frac{x}{2}-1",1,"x/2 - E^x*x - x^2*Log[x]^2","A",1
8674,1,23,32,0.0422494,"\int \frac{512+1920 x+2528 x^2+1480 x^3+614 x^4+255 x^5+\left(-384-960 x-696 x^2-240 x^3-153 x^4\right) \log (x)+\left(96+120 x+24 x^2+30 x^3\right) \log ^2(x)+\left(-8-2 x^2\right) \log ^3(x)}{-64 x^2-240 x^3-300 x^4-125 x^5+\left(48 x^2+120 x^3+75 x^4\right) \log (x)+\left(-12 x^2-15 x^3\right) \log ^2(x)+x^2 \log ^3(x)} \, dx","Integrate[(512 + 1920*x + 2528*x^2 + 1480*x^3 + 614*x^4 + 255*x^5 + (-384 - 960*x - 696*x^2 - 240*x^3 - 153*x^4)*Log[x] + (96 + 120*x + 24*x^2 + 30*x^3)*Log[x]^2 + (-8 - 2*x^2)*Log[x]^3)/(-64*x^2 - 240*x^3 - 300*x^4 - 125*x^5 + (48*x^2 + 120*x^3 + 75*x^4)*Log[x] + (-12*x^2 - 15*x^3)*Log[x]^2 + x^2*Log[x]^3),x]","-\frac{x^3}{(-5 x+\log (x)-4)^2}-2 x+\frac{8}{x}","2 \left(\frac{4}{x}-1\right)-2 x-\frac{x}{\left(-\frac{4}{x}+\frac{\log (x)}{x}-5\right)^2}+4",1,"8/x - 2*x - x^3/(-4 - 5*x + Log[x])^2","A",1
8675,1,23,25,0.5106451,"\int \exp \left(6-2 x+2 x^2-4 x \log (2)+2 \log ^2(2)-\log ^2(4)\right) (-8+16 x-16 \log (2)) \, dx","Integrate[E^(6 - 2*x + 2*x^2 - 4*x*Log[2] + 2*Log[2]^2 - Log[4]^2)*(-8 + 16*x - 16*Log[2]),x]","\exp \left(\frac{1}{2} \left((-2 x+1+\log (4))^2+11-2 \log ^2(4)\right)\right)","4 e^{-2 x+2 (\log (2)-x)^2+6-\log ^2(4)}",1,"E^((11 - 2*Log[4]^2 + (1 - 2*x + Log[4])^2)/2)","A",0
8676,1,17,21,0.4689679,"\int \frac{e^{x^2-\frac{e^{x^2}}{-25 x^3+x^4}} \left(-75+4 x+50 x^2-2 x^3\right)}{625 x^4-50 x^5+x^6} \, dx","Integrate[(E^(x^2 - E^x^2/(-25*x^3 + x^4))*(-75 + 4*x + 50*x^2 - 2*x^3))/(625*x^4 - 50*x^5 + x^6),x]","e^{-\frac{e^{x^2}}{(x-25) x^3}}","e^{\frac{e^{x^2}}{25 x^3-x^4}}",1,"E^(-(E^x^2/((-25 + x)*x^3)))","A",1
8677,1,26,30,0.097639,"\int \frac{-2 x^2+2 e^4 x^2+2 x^3-2 x^4+e^{25} \left(-2 x+2 x^2\right)+2 x^2 \log (x)+\left(e^{50} (2-2 x)+2 x^2-2 x^3-2 x^5+e^{25} \left(4 x-2 e^4 x-6 x^2+4 x^3\right)+e^4 \left(-4 x^2+6 x^3\right)+\left(-2 e^{25} x-4 x^2+6 x^3\right) \log (x)\right) \log \left(e^4-x+\log (x)\right)+\left(-2 x^3+6 x^4-4 x^5+e^4 \left(2 x^2-6 x^3+4 x^4\right)+e^{25} \left(-2 x^2+4 x^3+e^4 \left(2 x-4 x^2\right)\right)+\left(2 x^2-6 x^3+4 x^4+e^{25} \left(2 x-4 x^2\right)\right) \log (x)\right) \log ^2\left(e^4-x+\log (x)\right)}{e^4 x-x^2+x \log (x)} \, dx","Integrate[(-2*x^2 + 2*E^4*x^2 + 2*x^3 - 2*x^4 + E^25*(-2*x + 2*x^2) + 2*x^2*Log[x] + (E^50*(2 - 2*x) + 2*x^2 - 2*x^3 - 2*x^5 + E^25*(4*x - 2*E^4*x - 6*x^2 + 4*x^3) + E^4*(-4*x^2 + 6*x^3) + (-2*E^25*x - 4*x^2 + 6*x^3)*Log[x])*Log[E^4 - x + Log[x]] + (-2*x^3 + 6*x^4 - 4*x^5 + E^4*(2*x^2 - 6*x^3 + 4*x^4) + E^25*(-2*x^2 + 4*x^3 + E^4*(2*x - 4*x^2)) + (2*x^2 - 6*x^3 + 4*x^4 + E^25*(2*x - 4*x^2))*Log[x])*Log[E^4 - x + Log[x]]^2)/(E^4*x - x^2 + x*Log[x]),x]","\left(x-\left(-x^2+x+e^{25}\right) \log \left(-x+\log (x)+e^4\right)\right)^2","\left(x-x \left(\frac{x+e^{25}}{x}-x\right) \log \left(-x+\log (x)+e^4\right)\right)^2",1,"(x - (E^25 + x - x^2)*Log[E^4 - x + Log[x]])^2","A",1
8678,1,12,12,0.1032324,"\int \frac{25+10 x+e^x \left(5-3 x-x^2\right)}{25+10 e^x+e^{2 x}} \, dx","Integrate[(25 + 10*x + E^x*(5 - 3*x - x^2))/(25 + 10*E^x + E^(2*x)),x]","\frac{x (x+5)}{e^x+5}","\frac{x (x+5)}{e^x+5}",1,"(x*(5 + x))/(5 + E^x)","A",1
8679,1,42,30,0.1450837,"\int \frac{e^{4 e^{e^{3/x}}} \left(10 e^{2/x}-5 x^2+e^{e^{3/x}+\frac{3}{x}} \left(-60+60 e^{2/x}+60 x\right)\right)}{36 x^2+e^{4 e^{e^{3/x}}} \left(-12 x^2+12 e^{2/x} x^2+12 x^3\right)+e^{8 e^{e^{3/x}}} \left(x^2+e^{4/x} x^2-2 x^3+x^4+e^{2/x} \left(-2 x^2+2 x^3\right)\right)} \, dx","Integrate[(E^(4*E^E^(3/x))*(10*E^(2/x) - 5*x^2 + E^(E^(3/x) + 3/x)*(-60 + 60*E^(2/x) + 60*x)))/(36*x^2 + E^(4*E^E^(3/x))*(-12*x^2 + 12*E^(2/x)*x^2 + 12*x^3) + E^(8*E^E^(3/x))*(x^2 + E^(4/x)*x^2 - 2*x^3 + x^4 + E^(2/x)*(-2*x^2 + 2*x^3))),x]","\frac{5}{e^{4 e^{e^{3/x}}} (x-1)+e^{4 e^{e^{3/x}}+\frac{2}{x}}+6}","\frac{5}{e^{4 e^{e^{3/x}}} \left(x+e^{2/x}-1\right)+6}",1,"5/(6 + E^(4*E^E^(3/x) + 2/x) + E^(4*E^E^(3/x))*(-1 + x))","A",1
8680,1,24,27,0.0338634,"\int \frac{-3 x+\left(3-6 x+24 x^5\right) \log \left(x^3\right)-2 x \log \left(x^3\right) \log \left(\log \left(x^3\right)\right)}{\log \left(x^3\right)} \, dx","Integrate[(-3*x + (3 - 6*x + 24*x^5)*Log[x^3] - 2*x*Log[x^3]*Log[Log[x^3]])/Log[x^3],x]","4 x^6-3 x^2-x^2 \log \left(\log \left(x^3\right)\right)+3 x","x \left(x \left(4 x^4-\log \left(\log \left(x^3\right)\right)+\frac{3}{x}-2\right)-x\right)",1,"3*x - 3*x^2 + 4*x^6 - x^2*Log[Log[x^3]]","A",1
8681,1,48,28,1.8124832,"\int \frac{e^{-1-e^{25}} \left(e^{4 x} \left(-10-3 x+x^2\right)+e^{2 x} \left(25+50 x+10 x^2\right)+\left(-2 e^{4 x}+e^{2 x} (5+10 x)\right) \log (x)\right)}{25+e^{2 x} (-20+10 x)+e^{4 x} \left(4-4 x+x^2\right)} \, dx","Integrate[(E^(-1 - E^25)*(E^(4*x)*(-10 - 3*x + x^2) + E^(2*x)*(25 + 50*x + 10*x^2) + (-2*E^(4*x) + E^(2*x)*(5 + 10*x))*Log[x]))/(25 + E^(2*x)*(-20 + 10*x) + E^(4*x)*(4 - 4*x + x^2)),x]","\frac{e^{-1-e^{25}} \left(e^{2 x} \left(x^2-2 x+12\right)+e^{2 x} x \log (x)-30\right)}{e^{2 x} (x-2)+5}","\frac{e^{-1-e^{25}} x (x+\log (x)+4)}{x+5 e^{-2 x}-2}",1,"(E^(-1 - E^25)*(-30 + E^(2*x)*(12 - 2*x + x^2) + E^(2*x)*x*Log[x]))/(5 + E^(2*x)*(-2 + x))","A",1
8682,1,17,29,0.002782,"\int \frac{-118-125 x-123 x^2}{25 x^2} \, dx","Integrate[(-118 - 125*x - 123*x^2)/(25*x^2),x]","\frac{1}{25} \left(-123 x+\frac{118}{x}-125 \log (x)\right)","-5 x+\frac{2 \left(\frac{1}{25} (x+3)^2+x+2\right)}{x}+5 (4-\log (x))",1,"(118/x - 123*x - 125*Log[x])/25","A",1
8683,1,20,18,0.2262121,"\int \frac{-2-x+(-2-x+x \log (x)) \log (\log (x))}{12 x+12 x^2+3 x^3+\left(12 x+6 x^2\right) \log (x) \log (\log (x))+3 x \log ^2(x) \log ^2(\log (x))} \, dx","Integrate[(-2 - x + (-2 - x + x*Log[x])*Log[Log[x]])/(12*x + 12*x^2 + 3*x^3 + (12*x + 6*x^2)*Log[x]*Log[Log[x]] + 3*x*Log[x]^2*Log[Log[x]]^2),x]","-\frac{-x-2}{3 (x+\log (x) \log (\log (x))+2)}","\frac{1}{\frac{3 \log (x) \log (\log (x))}{x+2}+3}+2",1,"-1/3*(-2 - x)/(2 + x + Log[x]*Log[Log[x]])","A",1
8684,1,16,25,0.0360936,"\int e^{-x} \left(-3 x^2+x^3-e^x \log (4)\right) \, dx","Integrate[(-3*x^2 + x^3 - E^x*Log[4])/E^x,x]","-e^{-x} x^3-x \log (4)","x \left(-e^{-x} x^2-\log (4)\right)+2-\log \left(\frac{5}{4}\right)",1,"-(x^3/E^x) - x*Log[4]","A",1
8685,1,28,25,0.1563003,"\int \frac{e^{-14-2 x-x^3} \left(e^6+4 e^{3+x} x+4 e^{2 x} x^2\right) \left(-6 e^x x^4+e^3 \left(-2-2 x-3 x^3\right)\right)}{x^2 \left(e^3 x+2 e^x x^2\right)} \, dx","Integrate[(E^(-14 - 2*x - x^3)*(E^6 + 4*E^(3 + x)*x + 4*E^(2*x)*x^2)*(-6*E^x*x^4 + E^3*(-2 - 2*x - 3*x^3)))/(x^2*(E^3*x + 2*E^x*x^2)),x]","\frac{e^{-x^3-2 x-14} \left(2 e^x x+e^3\right)^2}{x^2}","e^{-x^3-14} \left(\frac{e^{3-x}}{x}+2\right)^2",1,"(E^(-14 - 2*x - x^3)*(E^3 + 2*E^x*x)^2)/x^2","A",1
8686,1,140,28,0.4616876,"\int \frac{-5 \log (5)+e^{\frac{3 x+x^2 \log (5)+x \log ^2(5)}{\log (5)}} \left(-15-10 x \log (5)-5 \log ^2(5)\right)}{4 \log (5)} \, dx","Integrate[(-5*Log[5] + E^((3*x + x^2*Log[5] + x*Log[5]^2)/Log[5])*(-15 - 10*x*Log[5] - 5*Log[5]^2))/(4*Log[5]),x]","-\frac{5 \left(\frac{1}{2} \sqrt{\pi } e^{-\frac{\left(3+\log ^2(5)\right)^2}{4 \log ^2(5)}} \left(3+\log ^2(5)\right) \text{erfi}\left(\frac{x \log (25)+3+\log ^2(5)}{\log (25)}\right)+x \log (5)\right)}{\log (625)}-\frac{e^{-\frac{\left(3+\log ^2(5)\right)^2}{4 \log ^2(5)}} \left(5 \log (25) e^{\frac{\left(x \log (25)+3+\log ^2(5)\right)^2}{\log ^2(25)}}-5 \sqrt{\pi } \left(3+\log ^2(5)\right) \text{erfi}\left(\frac{x \log (25)+3+\log ^2(5)}{\log (25)}\right)\right)}{2 \log (625)}","\frac{1}{4} \left(4-5 \left(x+e^{x (x+\log (5))+\frac{3 x}{\log (5)}}\right)\right)+3",1,"(-5*(x*Log[5] + (Sqrt[Pi]*Erfi[(3 + Log[5]^2 + x*Log[25])/Log[25]]*(3 + Log[5]^2))/(2*E^((3 + Log[5]^2)^2/(4*Log[5]^2)))))/Log[625] - (-5*Sqrt[Pi]*Erfi[(3 + Log[5]^2 + x*Log[25])/Log[25]]*(3 + Log[5]^2) + 5*E^((3 + Log[5]^2 + x*Log[25])^2/Log[25]^2)*Log[25])/(2*E^((3 + Log[5]^2)^2/(4*Log[5]^2))*Log[625])","C",0
8687,1,39,26,0.3275145,"\int \frac{-8 x-2 x^2+(-24+2 x) \log (4)+\left(x^2+4 \log (4)\right) \log \left(x^2\right)}{e^4 \left(256 x^2-128 x^3+16 x^4\right)+e^4 \left(512 x-256 x^2+32 x^3\right) \log (4)+e^4 \left(256-128 x+16 x^2\right) \log ^2(4)+\left(e^4 \left(-128 x^2+64 x^3-8 x^4\right)+e^4 \left(-256 x+128 x^2-16 x^3\right) \log (4)+e^4 \left(-128+64 x-8 x^2\right) \log ^2(4)\right) \log \left(x^2\right)+\left(e^4 \left(16 x^2-8 x^3+x^4\right)+e^4 \left(32 x-16 x^2+2 x^3\right) \log (4)+e^4 \left(16-8 x+x^2\right) \log ^2(4)\right) \log ^2\left(x^2\right)} \, dx","Integrate[(-8*x - 2*x^2 + (-24 + 2*x)*Log[4] + (x^2 + 4*Log[4])*Log[x^2])/(E^4*(256*x^2 - 128*x^3 + 16*x^4) + E^4*(512*x - 256*x^2 + 32*x^3)*Log[4] + E^4*(256 - 128*x + 16*x^2)*Log[4]^2 + (E^4*(-128*x^2 + 64*x^3 - 8*x^4) + E^4*(-256*x + 128*x^2 - 16*x^3)*Log[4] + E^4*(-128 + 64*x - 8*x^2)*Log[4]^2)*Log[x^2] + (E^4*(16*x^2 - 8*x^3 + x^4) + E^4*(32*x - 16*x^2 + 2*x^3)*Log[4] + E^4*(16 - 8*x + x^2)*Log[4]^2)*Log[x^2]^2),x]","-\frac{x \left(x^2+x (\log (4)-4)-\log (256)\right)}{e^4 (x-4)^2 (x+\log (4))^2 \left(\log \left(x^2\right)-4\right)}","\frac{x}{e^4 (4-x) (x+\log (4)) \left(\log \left(x^2\right)-4\right)}",1,"-((x*(x^2 + x*(-4 + Log[4]) - Log[256]))/(E^4*(-4 + x)^2*(x + Log[4])^2*(-4 + Log[x^2])))","A",1
8688,1,27,34,0.6979599,"\int \frac{e^{-e^x+10 x+3 x^2} \left(12 x^2+38 x^3+14 x^4-6 x^5+e^x \left(-4 x^3+x^4\right)\right)}{32-16 x+2 x^2} \, dx","Integrate[(E^(-E^x + 10*x + 3*x^2)*(12*x^2 + 38*x^3 + 14*x^4 - 6*x^5 + E^x*(-4*x^3 + x^4)))/(32 - 16*x + 2*x^2),x]","-\frac{e^{x (3 x+10)-e^x} x^3}{2 (x-4)}","\frac{e^{x-e^x+3 (x (x+4)-x)} x^3}{2 (4-x)}",1,"-1/2*(E^(-E^x + x*(10 + 3*x))*x^3)/(-4 + x)","A",1
8689,1,66,22,2.4780861,"\int \frac{1-676 x-e^{2 e^2} x-104 x^2-315 x^3-16 x^4-20 x^5+e^{e^2} \left(-52 x-4 x^2-12 x^3\right)}{-676 x^2-e^{2 e^2} x^2-52 x^3-105 x^4-4 x^5-4 x^6+e^{e^2} \left(-52 x^2-2 x^3-4 x^4\right)+x \log (x)} \, dx","Integrate[(1 - 676*x - E^(2*E^2)*x - 104*x^2 - 315*x^3 - 16*x^4 - 20*x^5 + E^E^2*(-52*x - 4*x^2 - 12*x^3))/(-676*x^2 - E^(2*E^2)*x^2 - 52*x^3 - 105*x^4 - 4*x^5 - 4*x^6 + E^E^2*(-52*x^2 - 2*x^3 - 4*x^4) + x*Log[x]),x]","\log \left(4 x^5+4 x^4+4 e^{e^2} x^3+105 x^3+2 e^{e^2} x^2+52 x^2+e^{2 e^2} x+52 e^{e^2} x+676 x-\log (x)\right)","\log \left(\log (x)-x \left(2 x^2+x+e^{e^2}+26\right)^2\right)",1,"Log[676*x + 52*E^E^2*x + E^(2*E^2)*x + 52*x^2 + 2*E^E^2*x^2 + 105*x^3 + 4*E^E^2*x^3 + 4*x^4 + 4*x^5 - Log[x]]","B",1
8690,0,0,24,0.5853017,"\int \frac{-2812500 x^3-2250000 x^4 \log (2)-675000 x^5 \log ^2(2)-90000 x^6 \log ^3(2)-4500 x^7 \log ^4(2)+\left(1012500 x^2+2812500 x^3+\left(607500 x^3+2812500 x^4\right) \log (2)+\left(121500 x^4+1012500 x^5\right) \log ^2(2)+\left(8100 x^5+157500 x^6\right) \log ^3(2)+9000 x^7 \log ^4(2)\right) \log (x)+\left(-121500 x-1012500 x^2+\left(-48600 x^2-810000 x^3\right) \log (2)+\left(-4860 x^3-202500 x^4\right) \log ^2(2)-16200 x^5 \log ^3(2)\right) \log ^2(x)+\left(4860+121500 x+\left(972 x+72900 x^2\right) \log (2)+9720 x^3 \log ^2(2)\right) \log ^3(x)+(-4860-1944 x \log (2)) \log ^4(x)}{5834375 x^5+5834375 x^6 \log (2)+2333750 x^7 \log ^2(2)+466750 x^8 \log ^3(2)+46675 x^9 \log ^4(2)+1867 x^{10} \log ^5(2)+\left(-2812500 x^4-2250000 x^5 \log (2)-675000 x^6 \log ^2(2)-90000 x^7 \log ^3(2)-4500 x^8 \log ^4(2)\right) \log (x)+\left(506250 x^3+303750 x^4 \log (2)+60750 x^5 \log ^2(2)+4050 x^6 \log ^3(2)\right) \log ^2(x)+\left(-40500 x^2-16200 x^3 \log (2)-1620 x^4 \log ^2(2)\right) \log ^3(x)+\left(1215 x+243 x^2 \log (2)\right) \log ^4(x)} \, dx","Integrate[(-2812500*x^3 - 2250000*x^4*Log[2] - 675000*x^5*Log[2]^2 - 90000*x^6*Log[2]^3 - 4500*x^7*Log[2]^4 + (1012500*x^2 + 2812500*x^3 + (607500*x^3 + 2812500*x^4)*Log[2] + (121500*x^4 + 1012500*x^5)*Log[2]^2 + (8100*x^5 + 157500*x^6)*Log[2]^3 + 9000*x^7*Log[2]^4)*Log[x] + (-121500*x - 1012500*x^2 + (-48600*x^2 - 810000*x^3)*Log[2] + (-4860*x^3 - 202500*x^4)*Log[2]^2 - 16200*x^5*Log[2]^3)*Log[x]^2 + (4860 + 121500*x + (972*x + 72900*x^2)*Log[2] + 9720*x^3*Log[2]^2)*Log[x]^3 + (-4860 - 1944*x*Log[2])*Log[x]^4)/(5834375*x^5 + 5834375*x^6*Log[2] + 2333750*x^7*Log[2]^2 + 466750*x^8*Log[2]^3 + 46675*x^9*Log[2]^4 + 1867*x^10*Log[2]^5 + (-2812500*x^4 - 2250000*x^5*Log[2] - 675000*x^6*Log[2]^2 - 90000*x^7*Log[2]^3 - 4500*x^8*Log[2]^4)*Log[x] + (506250*x^3 + 303750*x^4*Log[2] + 60750*x^5*Log[2]^2 + 4050*x^6*Log[2]^3)*Log[x]^2 + (-40500*x^2 - 16200*x^3*Log[2] - 1620*x^4*Log[2]^2)*Log[x]^3 + (1215*x + 243*x^2*Log[2])*Log[x]^4),x]","\int \frac{-2812500 x^3-2250000 x^4 \log (2)-675000 x^5 \log ^2(2)-90000 x^6 \log ^3(2)-4500 x^7 \log ^4(2)+\left(1012500 x^2+2812500 x^3+\left(607500 x^3+2812500 x^4\right) \log (2)+\left(121500 x^4+1012500 x^5\right) \log ^2(2)+\left(8100 x^5+157500 x^6\right) \log ^3(2)+9000 x^7 \log ^4(2)\right) \log (x)+\left(-121500 x-1012500 x^2+\left(-48600 x^2-810000 x^3\right) \log (2)+\left(-4860 x^3-202500 x^4\right) \log ^2(2)-16200 x^5 \log ^3(2)\right) \log ^2(x)+\left(4860+121500 x+\left(972 x+72900 x^2\right) \log (2)+9720 x^3 \log ^2(2)\right) \log ^3(x)+(-4860-1944 x \log (2)) \log ^4(x)}{5834375 x^5+5834375 x^6 \log (2)+2333750 x^7 \log ^2(2)+466750 x^8 \log ^3(2)+46675 x^9 \log ^4(2)+1867 x^{10} \log ^5(2)+\left(-2812500 x^4-2250000 x^5 \log (2)-675000 x^6 \log ^2(2)-90000 x^7 \log ^3(2)-4500 x^8 \log ^4(2)\right) \log (x)+\left(506250 x^3+303750 x^4 \log (2)+60750 x^5 \log ^2(2)+4050 x^6 \log ^3(2)\right) \log ^2(x)+\left(-40500 x^2-16200 x^3 \log (2)-1620 x^4 \log ^2(2)\right) \log ^3(x)+\left(1215 x+243 x^2 \log (2)\right) \log ^4(x)} \, dx","\log \left(\left(\frac{3 \log (x)}{x (x \log (2)+5)}-5\right)^4-\frac{8}{3}\right)",1,"Integrate[(-2812500*x^3 - 2250000*x^4*Log[2] - 675000*x^5*Log[2]^2 - 90000*x^6*Log[2]^3 - 4500*x^7*Log[2]^4 + (1012500*x^2 + 2812500*x^3 + (607500*x^3 + 2812500*x^4)*Log[2] + (121500*x^4 + 1012500*x^5)*Log[2]^2 + (8100*x^5 + 157500*x^6)*Log[2]^3 + 9000*x^7*Log[2]^4)*Log[x] + (-121500*x - 1012500*x^2 + (-48600*x^2 - 810000*x^3)*Log[2] + (-4860*x^3 - 202500*x^4)*Log[2]^2 - 16200*x^5*Log[2]^3)*Log[x]^2 + (4860 + 121500*x + (972*x + 72900*x^2)*Log[2] + 9720*x^3*Log[2]^2)*Log[x]^3 + (-4860 - 1944*x*Log[2])*Log[x]^4)/(5834375*x^5 + 5834375*x^6*Log[2] + 2333750*x^7*Log[2]^2 + 466750*x^8*Log[2]^3 + 46675*x^9*Log[2]^4 + 1867*x^10*Log[2]^5 + (-2812500*x^4 - 2250000*x^5*Log[2] - 675000*x^6*Log[2]^2 - 90000*x^7*Log[2]^3 - 4500*x^8*Log[2]^4)*Log[x] + (506250*x^3 + 303750*x^4*Log[2] + 60750*x^5*Log[2]^2 + 4050*x^6*Log[2]^3)*Log[x]^2 + (-40500*x^2 - 16200*x^3*Log[2] - 1620*x^4*Log[2]^2)*Log[x]^3 + (1215*x + 243*x^2*Log[2])*Log[x]^4), x]","F",-1
8691,1,20,22,0.3263585,"\int \frac{e^4+x+\log (x)+\left(e^4+x+\log (x)\right)^x \left(-5 e^4+5 x^2-5 \log (x)+\left(5 e^4 x+5 x^2+5 x \log (x)\right) \log \left(e^4+x+\log (x)\right)\right)}{2 e^4 x^2+2 x^3+2 x^2 \log (x)} \, dx","Integrate[(E^4 + x + Log[x] + (E^4 + x + Log[x])^x*(-5*E^4 + 5*x^2 - 5*Log[x] + (5*E^4*x + 5*x^2 + 5*x*Log[x])*Log[E^4 + x + Log[x]]))/(2*E^4*x^2 + 2*x^3 + 2*x^2*Log[x]),x]","\frac{5 \left(x+\log (x)+e^4\right)^x-1}{2 x}","\frac{5 \left(x+\log (x)+e^4\right)^x-1}{2 x}-1",1,"(-1 + 5*(E^4 + x + Log[x])^x)/(2*x)","A",1
8692,1,22,26,1.9138464,"\int \frac{e^{2 x+\frac{e^{-x}}{-2 x^2+x^4}} \left(8 x^3-8 x^5+2 x^7+e^{-x} \left(4+2 x-4 x^2-x^3\right)\right)}{4 x^3-4 x^5+x^7} \, dx","Integrate[(E^(2*x + 1/(E^x*(-2*x^2 + x^4)))*(8*x^3 - 8*x^5 + 2*x^7 + (4 + 2*x - 4*x^2 - x^3)/E^x))/(4*x^3 - 4*x^5 + x^7),x]","e^{\frac{e^{-x}}{\left(x^2-2\right) x^2}+2 x}","e^{2 x-\frac{e^{-x}}{2 x^2-x^4}}",1,"E^(2*x + 1/(E^x*x^2*(-2 + x^2)))","A",1
8693,1,18,25,0.0683473,"\int \frac{1+x+e^{-9+x} x+e^{-x+x^2} \left(-x+2 x^2\right)}{x} \, dx","Integrate[(1 + x + E^(-9 + x)*x + E^(-x + x^2)*(-x + 2*x^2))/x,x]","e^{x^2-x}+x+e^{x-9}+\log (x)","e^{x^2-x}+e^{x-9}+\log \left(2 e^{x+2} x\right)+5",1,"E^(-9 + x) + E^(-x + x^2) + x + Log[x]","A",1
8694,1,20,20,0.0081883,"\int \left(2+e^x+e^{5+x} (-1-x)-2 x\right) \, dx","Integrate[2 + E^x + E^(5 + x)*(-1 - x) - 2*x,x]","-x^2-e^{x+5} x+2 x+e^x","-x^2-e^{x+5} x+2 x+e^x",1,"E^x + 2*x - E^(5 + x)*x - x^2","A",1
8695,1,20,22,0.1408425,"\int \frac{e^{16} \left(-10000-8000 x-2400 x^2-320 x^3-16 x^4\right)+e^{16} \left(8000 x+4800 x^2+960 x^3+64 x^4\right) \log \left(\frac{x}{25}\right)}{625 x \log ^2\left(\frac{x}{25}\right)} \, dx","Integrate[(E^16*(-10000 - 8000*x - 2400*x^2 - 320*x^3 - 16*x^4) + E^16*(8000*x + 4800*x^2 + 960*x^3 + 64*x^4)*Log[x/25])/(625*x*Log[x/25]^2),x]","\frac{16 e^{16} (x+5)^4}{625 \log \left(\frac{x}{25}\right)}","\frac{16 e^{16} \left(\frac{x}{5}+1\right)^4}{\log \left(\frac{x}{25}\right)}",1,"(16*E^16*(5 + x)^4)/(625*Log[x/25])","A",1
8696,1,39,28,1.5963956,"\int \frac{45 x^2+e^{\frac{-5+x^3}{x^2}} \left(270+27 x^2+27 x^3\right)}{9 e^2 x^2-30 e x^3+25 x^4+9 e^{\frac{2 \left(-5+x^3\right)}{x^2}} x^4+e^{\frac{-5+x^3}{x^2}} \left(-18 e x^3+30 x^4\right)} \, dx","Integrate[(45*x^2 + E^((-5 + x^3)/x^2)*(270 + 27*x^2 + 27*x^3))/(9*E^2*x^2 - 30*E*x^3 + 25*x^4 + 9*E^((2*(-5 + x^3))/x^2)*x^4 + E^((-5 + x^3)/x^2)*(-18*E*x^3 + 30*x^4)),x]","-\frac{9 e^{\frac{5}{x^2}}}{5 e^{\frac{5}{x^2}} x-3 e^{\frac{5}{x^2}+1}+3 e^x x}","\frac{3}{e-\left(e^{\frac{x^2-\frac{5}{x}}{x}}+\frac{5}{3}\right) x}",1,"(-9*E^(5/x^2))/(-3*E^(1 + 5/x^2) + 5*E^(5/x^2)*x + 3*E^x*x)","A",1
8697,1,27,20,0.0091278,"\int \left(2 x-16 x^3+24 x^5+e^9 \left(-2+12 x^2\right)+\left(2-12 x^2\right) \log (2)\right) \, dx","Integrate[2*x - 16*x^3 + 24*x^5 + E^9*(-2 + 12*x^2) + (2 - 12*x^2)*Log[2],x]","x \left(2 x^2-1\right) \left(2 x^3-x+2 e^9-\log (4)\right)","\left(-2 x^3+x-e^9+\log (2)\right)^2+e^3",1,"x*(-1 + 2*x^2)*(2*E^9 - x + 2*x^3 - Log[4])","A",1
8698,1,51,35,0.0395382,"\int \frac{80-3 e^{2 x}+1040 x-768 x^2+192 x^3-16 x^4+e^x \left(192-112 x+16 x^2\right)}{4032+e^{2 x}-4112 x+1536 x^2-256 x^3+16 x^4+e^x \left(-128+64 x-8 x^2\right)} \, dx","Integrate[(80 - 3*E^(2*x) + 1040*x - 768*x^2 + 192*x^3 - 16*x^4 + E^x*(192 - 112*x + 16*x^2))/(4032 + E^(2*x) - 4112*x + 1536*x^2 - 256*x^3 + 16*x^4 + E^x*(-128 + 64*x - 8*x^2)),x]","-\log \left(16 x^4-256 x^3-8 e^x x^2+1536 x^2+64 e^x x-4112 x-128 e^x+e^{2 x}+4032\right)-x","-x+\log \left(\frac{5}{-\left((4-x)^2-\frac{e^x}{4}\right)^2+x+4}\right)+e^2+3",1,"-x - Log[4032 - 128*E^x + E^(2*x) - 4112*x + 64*E^x*x + 1536*x^2 - 8*E^x*x^2 - 256*x^3 + 16*x^4]","A",1
8699,1,13,18,0.0007235,"\int \frac{1}{50} (75+116 x) \, dx","Integrate[(75 + 116*x)/50,x]","\frac{29 x^2}{25}+\frac{3 x}{2}","\frac{29 x^2}{25}+\frac{3 x}{2}+5-\log (2)",1,"(3*x)/2 + (29*x^2)/25","A",1
8700,1,15,18,0.026126,"\int \left(-50 x-9 x^2+e^{x^2} \left(3 x^2+2 x^4\right)\right) \, dx","Integrate[-50*x - 9*x^2 + E^x^2*(3*x^2 + 2*x^4),x]","x^2 \left(\left(e^{x^2}-3\right) x-25\right)","-x^2 \left(\left(3-e^{x^2}\right) x+25\right)",1,"x^2*(-25 + (-3 + E^x^2)*x)","A",1
8701,1,30,31,0.0507085,"\int \frac{16 e^{4 x} x^2+1000 x^3+160 e^{3 x} x^3+625 x^6+e^{2 x} \left(80 x+80 x^2+600 x^4\right)+e^x \left(600 x^2+200 x^3+1000 x^5\right)}{100+16 e^{4 x} x^2+500 x^3+160 e^{3 x} x^3+625 x^6+e^{2 x} \left(80 x+600 x^4\right)+e^x \left(400 x^2+1000 x^5\right)} \, dx","Integrate[(16*E^(4*x)*x^2 + 1000*x^3 + 160*E^(3*x)*x^3 + 625*x^6 + E^(2*x)*(80*x + 80*x^2 + 600*x^4) + E^x*(600*x^2 + 200*x^3 + 1000*x^5))/(100 + 16*E^(4*x)*x^2 + 500*x^3 + 160*E^(3*x)*x^3 + 625*x^6 + E^(2*x)*(80*x + 600*x^4) + E^x*(400*x^2 + 1000*x^5)),x]","x-\frac{10 x}{25 x^3+20 e^x x^2+4 e^{2 x} x+10}","2 \left(\frac{x}{\frac{x+\frac{4}{5 \left(x+\frac{2 e^x}{5}\right)^2}}{x}+1}-4\right)",1,"x - (10*x)/(10 + 4*E^(2*x)*x + 20*E^x*x^2 + 25*x^3)","A",1
8702,1,16,19,0.0167447,"\int \frac{36+18 x+3 x^2+e^{2 x} \left(18+12 x+2 x^2\right)}{9+6 x+x^2} \, dx","Integrate[(36 + 18*x + 3*x^2 + E^(2*x)*(18 + 12*x + 2*x^2))/(9 + 6*x + x^2),x]","3 x+e^{2 x}-\frac{9}{x+3}","-\frac{x^2}{x+3}+4 x+e^{2 x}",1,"E^(2*x) + 3*x - 9/(3 + x)","A",1
8703,1,37,22,0.2269073,"\int \frac{40-95 x+30 x^2+e^x \left(16-38 x+12 x^2\right)+\left(15-15 x+15 x^2+e^x \left(-10+16 x-16 x^2+6 x^3\right)\right) \log \left(-1+x-x^2\right)}{1-x+x^2} \, dx","Integrate[(40 - 95*x + 30*x^2 + E^x*(16 - 38*x + 12*x^2) + (15 - 15*x + 15*x^2 + E^x*(-10 + 16*x - 16*x^2 + 6*x^3))*Log[-1 + x - x^2])/(1 - x + x^2),x]","\left(6 e^x x+15 x-16 e^x\right) \log \left(-x^2+x-1\right)-40 \log \left(x^2-x+1\right)","\left(2 e^x+5\right) (3 x-8) \log \left(-x^2+x-1\right)",1,"(-16*E^x + 15*x + 6*E^x*x)*Log[-1 + x - x^2] - 40*Log[1 - x + x^2]","A",1
8704,1,24,24,0.0412827,"\int \frac{e^{4-e^4+e^{x/2}-x^2} \left(10 x+5 e^{x/2} x^2-20 x^3\right)}{x} \, dx","Integrate[(E^(4 - E^4 + E^(x/2) - x^2)*(10*x + 5*E^(x/2)*x^2 - 20*x^3))/x,x]","10 e^{-x^2+e^{x/2}-e^4+4} x","10 e^{-x^2+e^{x/2}-e^4+4} x",1,"10*E^(4 - E^4 + E^(x/2) - x^2)*x","A",1
8705,1,11,22,0.0006582,"\int \frac{1}{2} (14+13 x) \, dx","Integrate[(14 + 13*x)/2,x]","\frac{13 x^2}{4}+7 x","x^2+x+\left(\frac{3 x}{2}+2\right)^2-e^2+1+\log (4)",1,"7*x + (13*x^2)/4","A",1
8706,1,7,16,0.00007,"\int \frac{x}{2} \, dx","Integrate[x/2,x]","\frac{x^2}{4}","\frac{1}{4} \left(x^2+4\right)-e^4+1",1,"x^2/4","A",1
8707,0,0,27,5.3251159,"\int \frac{1+x^2+\exp \left(16-40 x+33 x^2-10 x^3+x^4+\left(-32+56 x-28 x^2+4 x^3\right) \log (2)+\left(24-26 x+6 x^2\right) \log ^2(2)+(-8+4 x) \log ^3(2)+\log ^4(2)\right) \left(-1-40 x+66 x^2-30 x^3+4 x^4+\left(56 x-56 x^2+12 x^3\right) \log (2)+\left(-26 x+12 x^2\right) \log ^2(2)+4 x \log ^3(2)\right)}{x^2} \, dx","Integrate[(1 + x^2 + E^(16 - 40*x + 33*x^2 - 10*x^3 + x^4 + (-32 + 56*x - 28*x^2 + 4*x^3)*Log[2] + (24 - 26*x + 6*x^2)*Log[2]^2 + (-8 + 4*x)*Log[2]^3 + Log[2]^4)*(-1 - 40*x + 66*x^2 - 30*x^3 + 4*x^4 + (56*x - 56*x^2 + 12*x^3)*Log[2] + (-26*x + 12*x^2)*Log[2]^2 + 4*x*Log[2]^3))/x^2,x]","\int \frac{1+x^2+\exp \left(16-40 x+33 x^2-10 x^3+x^4+\left(-32+56 x-28 x^2+4 x^3\right) \log (2)+\left(24-26 x+6 x^2\right) \log ^2(2)+(-8+4 x) \log ^3(2)+\log ^4(2)\right) \left(-1-40 x+66 x^2-30 x^3+4 x^4+\left(56 x-56 x^2+12 x^3\right) \log (2)+\left(-26 x+12 x^2\right) \log ^2(2)+4 x \log ^3(2)\right)}{x^2} \, dx","x-\frac{1-e^{\left((x-2+\log (2))^2-x\right)^2}}{x}+e",1,"Integrate[(1 + x^2 + E^(16 - 40*x + 33*x^2 - 10*x^3 + x^4 + (-32 + 56*x - 28*x^2 + 4*x^3)*Log[2] + (24 - 26*x + 6*x^2)*Log[2]^2 + (-8 + 4*x)*Log[2]^3 + Log[2]^4)*(-1 - 40*x + 66*x^2 - 30*x^3 + 4*x^4 + (56*x - 56*x^2 + 12*x^3)*Log[2] + (-26*x + 12*x^2)*Log[2]^2 + 4*x*Log[2]^3))/x^2, x]","F",-1
8708,1,21,21,0.0780374,"\int \frac{e^{-2 x} \left(-8 e^{\frac{4 e^{-2 x}}{\log (5)}}+2 e^{2 x} x \log (5) \log (\log (2))\right)}{\log (5)} \, dx","Integrate[(-8*E^(4/(E^(2*x)*Log[5])) + 2*E^(2*x)*x*Log[5]*Log[Log[2]])/(E^(2*x)*Log[5]),x]","x^2 \log (\log (2))+e^{\frac{4 e^{-2 x}}{\log (5)}}","x^2 \log (\log (2))+e^{\frac{4 e^{-2 x}}{\log (5)}}",1,"E^(4/(E^(2*x)*Log[5])) + x^2*Log[Log[2]]","A",1
8709,1,49,21,0.0103642,"\int \frac{-144+9 x^2+(240+60 x) \log \left(\frac{14 x}{3}\right)-120 \log ^2\left(\frac{14 x}{3}\right)+100 \log ^3\left(\frac{14 x}{3}\right)-25 \log ^4\left(\frac{14 x}{3}\right)}{9 x^2} \, dx","Integrate[(-144 + 9*x^2 + (240 + 60*x)*Log[(14*x)/3] - 120*Log[(14*x)/3]^2 + 100*Log[(14*x)/3]^3 - 25*Log[(14*x)/3]^4)/(9*x^2),x]","x+\frac{16}{x}+\frac{25 \log ^4\left(\frac{14 x}{3}\right)}{9 x}+\frac{40 \log ^2\left(\frac{14 x}{3}\right)}{3 x}+\frac{10}{3} \log ^2\left(\frac{14 x}{3}\right)","\frac{\left(x+\frac{5}{3} \log ^2\left(\frac{14 x}{3}\right)+4\right)^2}{x}",1,"16/x + x + (10*Log[(14*x)/3]^2)/3 + (40*Log[(14*x)/3]^2)/(3*x) + (25*Log[(14*x)/3]^4)/(9*x)","B",1
8710,1,30,27,0.0396186,"\int \frac{144-2244 x-1728 x^2-1425 x^3-360 x^4-144 x^5+e^5 \left(48-60 x-96 x^2\right)+\left(1104 x+360 x^2+288 x^3\right) \log (x)-144 x \log ^2(x)}{256 x+160 x^2+153 x^3+40 x^4+16 x^5+\left(-128 x-40 x^2-32 x^3\right) \log (x)+16 x \log ^2(x)} \, dx","Integrate[(144 - 2244*x - 1728*x^2 - 1425*x^3 - 360*x^4 - 144*x^5 + E^5*(48 - 60*x - 96*x^2) + (1104*x + 360*x^2 + 288*x^3)*Log[x] - 144*x*Log[x]^2)/(256*x + 160*x^2 + 153*x^3 + 40*x^4 + 16*x^5 + (-128*x - 40*x^2 - 32*x^3)*Log[x] + 16*x*Log[x]^2),x]","-3 \left(\frac{4 \left(x+e^5+3\right)}{-4 x^2-5 x+4 \log (x)-16}+3 x\right)","\left(x+e^5+3\right) \left(\frac{3}{x^2+\frac{5 x}{4}-\log (x)+4}-9\right)",1,"-3*(3*x + (4*(3 + E^5 + x))/(-16 - 5*x - 4*x^2 + 4*Log[x]))","A",1
8711,1,23,26,0.9236375,"\int \frac{e^{5 x/2} \left(66+5 x+e^2 \left(20-32 x+20 x^2\right)\right)}{5488+1176 x+84 x^2+2 x^3+e^2 \left(4704+672 x+4728 x^2+672 x^3+24 x^4\right)+e^4 \left(1344+96 x+2688 x^2+192 x^3+1344 x^4+96 x^5\right)+e^6 \left(128+384 x^2+384 x^4+128 x^6\right)} \, dx","Integrate[(E^((5*x)/2)*(66 + 5*x + E^2*(20 - 32*x + 20*x^2)))/(5488 + 1176*x + 84*x^2 + 2*x^3 + E^2*(4704 + 672*x + 4728*x^2 + 672*x^3 + 24*x^4) + E^4*(1344 + 96*x + 2688*x^2 + 192*x^3 + 1344*x^4 + 96*x^5) + E^6*(128 + 384*x^2 + 384*x^4 + 128*x^6)),x]","\frac{e^{5 x/2}}{\left(4 e^2 \left(x^2+1\right)+x+14\right)^2}","\frac{e^{5 x/2}}{\left(4 \left(e^2 \left(x^2+1\right)+4\right)+x-2\right)^2}",1,"E^((5*x)/2)/(14 + x + 4*E^2*(1 + x^2))^2","A",1
8712,1,22,25,0.0271117,"\int \frac{\frac{9}{e^4}+85 x^2-36 x^3+4 x^4+\frac{3 \left(2+18 x-4 x^2\right)}{e^2}}{\frac{9}{e^4}+81 x^2-36 x^3+4 x^4+\frac{3 \left(18 x-4 x^2\right)}{e^2}} \, dx","Integrate[(9/E^4 + 85*x^2 - 36*x^3 + 4*x^4 + (3*(2 + 18*x - 4*x^2))/E^2)/(9/E^4 + 81*x^2 - 36*x^3 + 4*x^4 + (3*(18*x - 4*x^2))/E^2),x]","x-\frac{2 e^2 x}{e^2 x (2 x-9)-3}","x-\frac{2}{2 x-\frac{2 x+\frac{3}{e^2}}{x}-7}",1,"x - (2*E^2*x)/(-3 + E^2*x*(-9 + 2*x))","A",1
8713,1,27,28,0.0733796,"\int \left(1+e^{\frac{1}{5} (1-5 x-5 \log (2))} \left(5-7 x+x^2\right)+e^x \left(-5-3 x+x^2\right)\right) \, dx","Integrate[1 + E^((1 - 5*x - 5*Log[2])/5)*(5 - 7*x + x^2) + E^x*(-5 - 3*x + x^2),x]","-\frac{1}{2} e^{\frac{1}{5}-x} (x-5) x+e^x (x-5) x+x","\left(\frac{1}{2} e^{\frac{1}{5}-x}-e^x\right) (5-x) x+x",1,"x - (E^(1/5 - x)*(-5 + x)*x)/2 + E^x*(-5 + x)*x","A",1
8714,1,23,27,0.0282448,"\int \frac{12-16 x}{\left(-x+x^2\right) \log \left(\frac{-x^3+x^4}{9 \log (\log (4))}\right)+\left(-2 x+2 x^2\right) \log \left(\frac{-x^3+x^4}{9 \log (\log (4))}\right) \log \left(\log \left(\frac{-x^3+x^4}{9 \log (\log (4))}\right)\right)+\left(-x+x^2\right) \log \left(\frac{-x^3+x^4}{9 \log (\log (4))}\right) \log ^2\left(\log \left(\frac{-x^3+x^4}{9 \log (\log (4))}\right)\right)} \, dx","Integrate[(12 - 16*x)/((-x + x^2)*Log[(-x^3 + x^4)/(9*Log[Log[4]])] + (-2*x + 2*x^2)*Log[(-x^3 + x^4)/(9*Log[Log[4]])]*Log[Log[(-x^3 + x^4)/(9*Log[Log[4]])]] + (-x + x^2)*Log[(-x^3 + x^4)/(9*Log[Log[4]])]*Log[Log[(-x^3 + x^4)/(9*Log[Log[4]])]]^2),x]","\frac{4}{\log \left(\log \left(\frac{(x-1) x^3}{9 \log (\log (4))}\right)\right)+1}","\frac{4}{\log \left(\log \left(\frac{x^2 \left(x^2-x\right)}{9 \log (\log (4))}\right)\right)+1}",1,"4/(1 + Log[Log[((-1 + x)*x^3)/(9*Log[Log[4]])]])","A",1
8715,1,131,30,0.2697274,"\int \frac{432-2160 x+3600 x^2-2000 x^3+\left(-81+1487 x-6755 x^2+12750 x^3-10625 x^4+3125 x^5\right) \log (5 x)+\left(-1728+5760 x-4800 x^2+\left(432-6480 x+21600 x^2-26000 x^3+10000 x^4\right) \log (5 x)\right) \log (\log (5 x))+\left(2304-3840 x+\left(-864+10080 x-21600 x^2+12000 x^3\right) \log (5 x)\right) \log ^2(\log (5 x))+\left(-1024+\left(768-6400 x+6400 x^2\right) \log (5 x)\right) \log ^3(\log (5 x))+(-256+1280 x) \log (5 x) \log ^4(\log (5 x))}{\left(405 x-2705 x^2+6750 x^3-7500 x^4+3125 x^5\right) \log (5 x)+\left(-2160 x+10800 x^2-18000 x^3+10000 x^4\right) \log (5 x) \log (\log (5 x))+\left(4320 x-14400 x^2+12000 x^3\right) \log (5 x) \log ^2(\log (5 x))+\left(-3840 x+6400 x^2\right) \log (5 x) \log ^3(\log (5 x))+1280 x \log (5 x) \log ^4(\log (5 x))} \, dx","Integrate[(432 - 2160*x + 3600*x^2 - 2000*x^3 + (-81 + 1487*x - 6755*x^2 + 12750*x^3 - 10625*x^4 + 3125*x^5)*Log[5*x] + (-1728 + 5760*x - 4800*x^2 + (432 - 6480*x + 21600*x^2 - 26000*x^3 + 10000*x^4)*Log[5*x])*Log[Log[5*x]] + (2304 - 3840*x + (-864 + 10080*x - 21600*x^2 + 12000*x^3)*Log[5*x])*Log[Log[5*x]]^2 + (-1024 + (768 - 6400*x + 6400*x^2)*Log[5*x])*Log[Log[5*x]]^3 + (-256 + 1280*x)*Log[5*x]*Log[Log[5*x]]^4)/((405*x - 2705*x^2 + 6750*x^3 - 7500*x^4 + 3125*x^5)*Log[5*x] + (-2160*x + 10800*x^2 - 18000*x^3 + 10000*x^4)*Log[5*x]*Log[Log[5*x]] + (4320*x - 14400*x^2 + 12000*x^3)*Log[5*x]*Log[Log[5*x]]^2 + (-3840*x + 6400*x^2)*Log[5*x]*Log[Log[5*x]]^3 + 1280*x*Log[5*x]*Log[Log[5*x]]^4),x]","\frac{1}{5} \left(-\log \left(3125 x^4-7500 x^3+10000 x^3 \log (\log (5 x))+6750 x^2+12000 x^2 \log ^2(\log (5 x))-18000 x^2 \log (\log (5 x))-2705 x+1280 \log ^4(\log (5 x))+6400 x \log ^3(\log (5 x))-3840 \log ^3(\log (5 x))-14400 x \log ^2(\log (5 x))+4320 \log ^2(\log (5 x))+10800 x \log (\log (5 x))-2160 \log (\log (5 x))+405\right)+5 x-\log (5 x)\right)","x-\frac{1}{5} \log \left(\frac{1}{4} x \left(x-(x+4 (x+\log (\log (5 x)))-3)^4\right)\right)",1,"(5*x - Log[5*x] - Log[405 - 2705*x + 6750*x^2 - 7500*x^3 + 3125*x^4 - 2160*Log[Log[5*x]] + 10800*x*Log[Log[5*x]] - 18000*x^2*Log[Log[5*x]] + 10000*x^3*Log[Log[5*x]] + 4320*Log[Log[5*x]]^2 - 14400*x*Log[Log[5*x]]^2 + 12000*x^2*Log[Log[5*x]]^2 - 3840*Log[Log[5*x]]^3 + 6400*x*Log[Log[5*x]]^3 + 1280*Log[Log[5*x]]^4])/5","B",1
8716,0,0,28,0.3107306,"\int \frac{\left(-30 x-24 x^2-6 x^3+e^{4 x} \left(-10 x-8 x^2-2 x^3\right)+\left(10 x+8 x^2+2 x^3\right) \log (x)\right) \log \left(\frac{-4+8 x+4 x^2}{2+x}\right)+\left(4-6 x-8 x^2-2 x^3+e^{4 x} \left(-16 x+24 x^2+32 x^3+8 x^4\right)\right) \log ^2\left(\frac{-4+8 x+4 x^2}{2+x}\right)}{54 x-81 x^2-108 x^3-27 x^4+e^{4 x} \left(54 x-81 x^2-108 x^3-27 x^4\right)+e^{8 x} \left(18 x-27 x^2-36 x^3-9 x^4\right)+e^{12 x} \left(2 x-3 x^2-4 x^3-x^4\right)+\left(-54 x+81 x^2+108 x^3+27 x^4+e^{8 x} \left(-6 x+9 x^2+12 x^3+3 x^4\right)+e^{4 x} \left(-36 x+54 x^2+72 x^3+18 x^4\right)\right) \log (x)+\left(18 x-27 x^2-36 x^3-9 x^4+e^{4 x} \left(6 x-9 x^2-12 x^3-3 x^4\right)\right) \log ^2(x)+\left(-2 x+3 x^2+4 x^3+x^4\right) \log ^3(x)} \, dx","Integrate[((-30*x - 24*x^2 - 6*x^3 + E^(4*x)*(-10*x - 8*x^2 - 2*x^3) + (10*x + 8*x^2 + 2*x^3)*Log[x])*Log[(-4 + 8*x + 4*x^2)/(2 + x)] + (4 - 6*x - 8*x^2 - 2*x^3 + E^(4*x)*(-16*x + 24*x^2 + 32*x^3 + 8*x^4))*Log[(-4 + 8*x + 4*x^2)/(2 + x)]^2)/(54*x - 81*x^2 - 108*x^3 - 27*x^4 + E^(4*x)*(54*x - 81*x^2 - 108*x^3 - 27*x^4) + E^(8*x)*(18*x - 27*x^2 - 36*x^3 - 9*x^4) + E^(12*x)*(2*x - 3*x^2 - 4*x^3 - x^4) + (-54*x + 81*x^2 + 108*x^3 + 27*x^4 + E^(8*x)*(-6*x + 9*x^2 + 12*x^3 + 3*x^4) + E^(4*x)*(-36*x + 54*x^2 + 72*x^3 + 18*x^4))*Log[x] + (18*x - 27*x^2 - 36*x^3 - 9*x^4 + E^(4*x)*(6*x - 9*x^2 - 12*x^3 - 3*x^4))*Log[x]^2 + (-2*x + 3*x^2 + 4*x^3 + x^4)*Log[x]^3),x]","\int \frac{\left(-30 x-24 x^2-6 x^3+e^{4 x} \left(-10 x-8 x^2-2 x^3\right)+\left(10 x+8 x^2+2 x^3\right) \log (x)\right) \log \left(\frac{-4+8 x+4 x^2}{2+x}\right)+\left(4-6 x-8 x^2-2 x^3+e^{4 x} \left(-16 x+24 x^2+32 x^3+8 x^4\right)\right) \log ^2\left(\frac{-4+8 x+4 x^2}{2+x}\right)}{54 x-81 x^2-108 x^3-27 x^4+e^{4 x} \left(54 x-81 x^2-108 x^3-27 x^4\right)+e^{8 x} \left(18 x-27 x^2-36 x^3-9 x^4\right)+e^{12 x} \left(2 x-3 x^2-4 x^3-x^4\right)+\left(-54 x+81 x^2+108 x^3+27 x^4+e^{8 x} \left(-6 x+9 x^2+12 x^3+3 x^4\right)+e^{4 x} \left(-36 x+54 x^2+72 x^3+18 x^4\right)\right) \log (x)+\left(18 x-27 x^2-36 x^3-9 x^4+e^{4 x} \left(6 x-9 x^2-12 x^3-3 x^4\right)\right) \log ^2(x)+\left(-2 x+3 x^2+4 x^3+x^4\right) \log ^3(x)} \, dx","\frac{\log ^2\left(4 \left(x-\frac{1}{x+2}\right)\right)}{\left(e^{4 x}-\log (x)+3\right)^2}",1,"Integrate[((-30*x - 24*x^2 - 6*x^3 + E^(4*x)*(-10*x - 8*x^2 - 2*x^3) + (10*x + 8*x^2 + 2*x^3)*Log[x])*Log[(-4 + 8*x + 4*x^2)/(2 + x)] + (4 - 6*x - 8*x^2 - 2*x^3 + E^(4*x)*(-16*x + 24*x^2 + 32*x^3 + 8*x^4))*Log[(-4 + 8*x + 4*x^2)/(2 + x)]^2)/(54*x - 81*x^2 - 108*x^3 - 27*x^4 + E^(4*x)*(54*x - 81*x^2 - 108*x^3 - 27*x^4) + E^(8*x)*(18*x - 27*x^2 - 36*x^3 - 9*x^4) + E^(12*x)*(2*x - 3*x^2 - 4*x^3 - x^4) + (-54*x + 81*x^2 + 108*x^3 + 27*x^4 + E^(8*x)*(-6*x + 9*x^2 + 12*x^3 + 3*x^4) + E^(4*x)*(-36*x + 54*x^2 + 72*x^3 + 18*x^4))*Log[x] + (18*x - 27*x^2 - 36*x^3 - 9*x^4 + E^(4*x)*(6*x - 9*x^2 - 12*x^3 - 3*x^4))*Log[x]^2 + (-2*x + 3*x^2 + 4*x^3 + x^4)*Log[x]^3), x]","F",-1
8717,0,0,45,0.8674417,"\int \frac{5^{\frac{100 e^{-x} x^2}{-9+200 x^2+200 x^3}} e^{-x} x^{\frac{100 e^{-x} x^2}{-9+200 x^2+200 x^3}} \left(-900 x+20000 x^3+20000 x^4+\left(-1800 x+900 x^2-40000 x^4-20000 x^5\right) \log (5 x)\right)}{81-3600 x^2-3600 x^3+40000 x^4+80000 x^5+40000 x^6} \, dx","Integrate[(5^((100*x^2)/(E^x*(-9 + 200*x^2 + 200*x^3)))*x^((100*x^2)/(E^x*(-9 + 200*x^2 + 200*x^3)))*(-900*x + 20000*x^3 + 20000*x^4 + (-1800*x + 900*x^2 - 40000*x^4 - 20000*x^5)*Log[5*x]))/(E^x*(81 - 3600*x^2 - 3600*x^3 + 40000*x^4 + 80000*x^5 + 40000*x^6)),x]","\int \frac{5^{\frac{100 e^{-x} x^2}{-9+200 x^2+200 x^3}} e^{-x} x^{\frac{100 e^{-x} x^2}{-9+200 x^2+200 x^3}} \left(-900 x+20000 x^3+20000 x^4+\left(-1800 x+900 x^2-40000 x^4-20000 x^5\right) \log (5 x)\right)}{81-3600 x^2-3600 x^3+40000 x^4+80000 x^5+40000 x^6} \, dx","5^{\frac{e^{-x}}{-\frac{9}{100 x^2}+2 x+2}} x^{\frac{e^{-x}}{-\frac{9}{100 x^2}+2 x+2}}",1,"Integrate[(5^((100*x^2)/(E^x*(-9 + 200*x^2 + 200*x^3)))*x^((100*x^2)/(E^x*(-9 + 200*x^2 + 200*x^3)))*(-900*x + 20000*x^3 + 20000*x^4 + (-1800*x + 900*x^2 - 40000*x^4 - 20000*x^5)*Log[5*x]))/(E^x*(81 - 3600*x^2 - 3600*x^3 + 40000*x^4 + 80000*x^5 + 40000*x^6)), x]","F",-1
8718,1,33,35,0.2119148,"\int \frac{-5+\left(10+14 x^2+5 x^3-2 x^4\right) \log (x)+\left(-4-5 x+2 x^2\right) \log (x) \log \left(\frac{\log (x)}{x^2}\right)}{-5 x^3 \log (x)+5 x \log (x) \log \left(\frac{\log (x)}{x^2}\right)} \, dx","Integrate[(-5 + (10 + 14*x^2 + 5*x^3 - 2*x^4)*Log[x] + (-4 - 5*x + 2*x^2)*Log[x]*Log[Log[x]/x^2])/(-5*x^3*Log[x] + 5*x*Log[x]*Log[Log[x]/x^2]),x]","\frac{x^2}{5}-\log \left(x^2-\log \left(\frac{\log (x)}{x^2}\right)\right)-x-\frac{4 \log (x)}{5}","\frac{1}{5} \left(x^2+\log (x)\right)-\log \left(\frac{1}{5} x \left(\log \left(\frac{\log (x)}{x^2}\right)-x^2\right)\right)-x",1,"-x + x^2/5 - (4*Log[x])/5 - Log[x^2 - Log[Log[x]/x^2]]","A",1
8719,1,30,27,0.1984037,"\int \frac{-8+16 x+e^{\frac{1}{16} \left(36-36 x+9 x^2\right)} \left(-72+306 x-81 x^2\right)}{8 x+72 e^{\frac{1}{16} \left(36-36 x+9 x^2\right)} x} \, dx","Integrate[(-8 + 16*x + E^((36 - 36*x + 9*x^2)/16)*(-72 + 306*x - 81*x^2))/(8*x + 72*E^((36 - 36*x + 9*x^2)/16)*x),x]","\frac{1}{8} \left(16 x-8 \log \left(9 e^{\frac{9}{16} (x-2)^2}+1\right)-8 \log (x)\right)","2 x-\log \left(9 e^{\frac{9}{16} (2-x)^2} x+x\right)+\log (5)",1,"(16*x - 8*Log[1 + 9*E^((9*(-2 + x)^2)/16)] - 8*Log[x])/8","A",1
8720,1,22,26,0.1117132,"\int \frac{e^{\frac{2 \left(16-10 x+x^2-4 x^3-x^4\right)}{x^2}} \left(-64+20 x-8 x^3-4 x^4\right)}{x^3} \, dx","Integrate[(E^((2*(16 - 10*x + x^2 - 4*x^3 - x^4))/x^2)*(-64 + 20*x - 8*x^3 - 4*x^4))/x^3,x]","e^{-2 x^2+\frac{32}{x^2}-8 x-\frac{20}{x}+2}","e^{\frac{2 (4-x)^2}{x^2}-2 x (x+4)-\frac{4}{x}}",1,"E^(2 + 32/x^2 - 20/x - 8*x - 2*x^2)","A",1
8721,1,24,25,0.8928274,"\int \frac{e^{4+x+e^{5+e^x+3 x} \log \left(\log ^2(x)\right)} \left(2 e^{5+e^x+3 x}+(-2+x) \log (x)+e^{5+e^x+3 x} \left(3 x+e^x x\right) \log (x) \log \left(\log ^2(x)\right)\right)}{x^3 \log (x)} \, dx","Integrate[(E^(4 + x + E^(5 + E^x + 3*x)*Log[Log[x]^2])*(2*E^(5 + E^x + 3*x) + (-2 + x)*Log[x] + E^(5 + E^x + 3*x)*(3*x + E^x*x)*Log[x]*Log[Log[x]^2]))/(x^3*Log[x]),x]","\frac{e^{x+4} \log ^2(x)^{e^{3 x+e^x+5}}}{x^2}","\frac{e^{x+e^{3 x+e^x+5} \log \left(\log ^2(x)\right)+4}}{x^2}",1,"(E^(4 + x)*(Log[x]^2)^E^(5 + E^x + 3*x))/x^2","A",1
8722,1,8,10,0.0003852,"\int -\frac{2 e^3}{x^2} \, dx","Integrate[(-2*E^3)/x^2,x]","\frac{2 e^3}{x}","\frac{2 \left(x+e^3\right)}{x}",1,"(2*E^3)/x","A",1
8723,1,32,28,0.0161822,"\int \frac{-16+30 x+\left(-25 x^3-10 x^4\right) \log (4)}{-8 x+30 x^2-25 x^3+\left(25 x^4+5 x^5\right) \log (4)} \, dx","Integrate[(-16 + 30*x + (-25*x^3 - 10*x^4)*Log[4])/(-8*x + 30*x^2 - 25*x^3 + (25*x^4 + 5*x^5)*Log[4]),x]","2 \log (x)-\log \left(-5 x^4 \log (4)-25 x^3 \log (4)+25 x^2-30 x+8\right)","1-\log \left(\frac{1}{x^2}-\left(5-\frac{3}{x}\right)^2+5 x (x+5) \log (4)\right)",1,"2*Log[x] - Log[8 - 30*x + 25*x^2 - 25*x^3*Log[4] - 5*x^4*Log[4]]","A",1
8724,1,19,16,0.0039487,"\int \frac{1+x^2}{-2 x+2 x^3} \, dx","Integrate[(1 + x^2)/(-2*x + 2*x^3),x]","\frac{1}{2} \log \left(1-x^2\right)-\frac{\log (x)}{2}","\frac{1}{2} \log \left(\frac{1-x^2}{x}\right)",1,"-1/2*Log[x] + Log[1 - x^2]/2","A",1
8725,1,140,26,0.0792803,"\int \frac{36+684 x+3348 x^2+1068 x^3-19264 x^4-15360 x^5+16384 x^6+\left(108 x+1836 x^2+11112 x^3+25728 x^4+6144 x^5-32768 x^6\right) \log (3)+\left(108 x^3+1728 x^4+9216 x^5+16384 x^6\right) \log ^2(3)}{27+432 x+2304 x^2+4096 x^3} \, dx","Integrate[(36 + 684*x + 3348*x^2 + 1068*x^3 - 19264*x^4 - 15360*x^5 + 16384*x^6 + (108*x + 1836*x^2 + 11112*x^3 + 25728*x^4 + 6144*x^5 - 32768*x^6)*Log[3] + (108*x^3 + 1728*x^4 + 9216*x^5 + 16384*x^6)*Log[3]^2)/(27 + 432*x + 2304*x^2 + 4096*x^3),x]","\frac{16777216 x^6 (\log (3)-1)^2+2097152 x^5 \left(-13+3 \log ^2(3)+\log (59049)\right)+65536 x^4 \left(-407+9 \log ^2(3)+714 \log (3)-30 \log (9)\right)+98304 x^3 (248+106 \log (3)+15 \log (9))-6912 x^2 \left(-2493+3 \log ^2(3)+370 \log (3)-220 \log (9)\right)-288 x \left(-12709+27 \log ^2(3)+1170 \log (3)-900 \log (9)+512 \log (27)\right)-9 \left(-29935+81 \log ^2(3)+270 \log (3)-1080 \log (9)+1536 \log (27)\right)}{65536 (16 x+3)^2}","\left(-x^2+x^2 \log (3)-\frac{x}{16 x+3}+x+1\right)^2",1,"(16777216*x^6*(-1 + Log[3])^2 - 6912*x^2*(-2493 + 370*Log[3] + 3*Log[3]^2 - 220*Log[9]) + 65536*x^4*(-407 + 714*Log[3] + 9*Log[3]^2 - 30*Log[9]) + 98304*x^3*(248 + 106*Log[3] + 15*Log[9]) - 288*x*(-12709 + 1170*Log[3] + 27*Log[3]^2 - 900*Log[9] + 512*Log[27]) - 9*(-29935 + 270*Log[3] + 81*Log[3]^2 - 1080*Log[9] + 1536*Log[27]) + 2097152*x^5*(-13 + 3*Log[3]^2 + Log[59049]))/(65536*(3 + 16*x)^2)","B",0
8726,1,78,30,0.0936289,"\int \frac{-97071-17091 x+9528 x^2+2220 x^3-162 x^4-60 x^5+\left(-10110-4338 x-168 x^2+168 x^3+24 x^4\right) \log (5-x)}{-25+5 x} \, dx","Integrate[(-97071 - 17091*x + 9528*x^2 + 2220*x^3 - 162*x^4 - 60*x^5 + (-10110 - 4338*x - 168*x^2 + 168*x^3 + 24*x^4)*Log[5 - x])/(-25 + 5*x),x]","-\frac{3}{5} \left(4 x^5+39 x^4-2 x^4 \log (5-x)+24 x^3-32 x^3 \log (5-x)-1302 x^2-212 x^2 \log (5-x)-6649 x-674 x \log (5-x)-888 \log (5-x)\right)","3 \left(\left((x+4)^2+5\right)^2+x+3\right) \left(\frac{2}{5} (\log (5-x)-2 x)+5\right)",1,"(-3*(-6649*x - 1302*x^2 + 24*x^3 + 39*x^4 + 4*x^5 - 888*Log[5 - x] - 674*x*Log[5 - x] - 212*x^2*Log[5 - x] - 32*x^3*Log[5 - x] - 2*x^4*Log[5 - x]))/5","B",1
8727,1,29,31,0.3433138,"\int \frac{\exp \left(\frac{16 e^{-\frac{10}{-5+x}}-32 e^{-\frac{5}{-5+x}} x+16 x^2}{-75 x^7+25 x^8}\right) \left(6000 x^2-4800 x^3+1200 x^4-96 x^5+e^{-\frac{10}{-5+x}} \left(8400-7040 x+1776 x^2-128 x^3\right)+e^{-\frac{5}{-5+x}} \left(-14400 x+11840 x^2-2976 x^3+224 x^4\right)\right)}{5625 x^8-6000 x^9+2350 x^{10}-400 x^{11}+25 x^{12}} \, dx","Integrate[(E^((16/E^(10/(-5 + x)) - (32*x)/E^(5/(-5 + x)) + 16*x^2)/(-75*x^7 + 25*x^8))*(6000*x^2 - 4800*x^3 + 1200*x^4 - 96*x^5 + (8400 - 7040*x + 1776*x^2 - 128*x^3)/E^(10/(-5 + x)) + (-14400*x + 11840*x^2 - 2976*x^3 + 224*x^4)/E^(5/(-5 + x))))/(5625*x^8 - 6000*x^9 + 2350*x^10 - 400*x^11 + 25*x^12),x]","e^{\frac{16 \left(e^{-\frac{5}{x-5}}-x\right)^2}{25 (x-3) x^7}}","e^{\frac{16 \left(e^{\frac{5}{5-x}}-x\right)^2}{25 (x-3) x^7}}",1,"E^((16*(E^(-5/(-5 + x)) - x)^2)/(25*(-3 + x)*x^7))","A",1
8728,1,19,28,0.0910353,"\int \frac{e^{2+\frac{e^2}{3 x+12 x^2}} (1+8 x)}{3 x^2+24 x^3+48 x^4} \, dx","Integrate[(E^(2 + E^2/(3*x + 12*x^2))*(1 + 8*x))/(3*x^2 + 24*x^3 + 48*x^4),x]","-e^{\frac{e^2}{12 x^2+3 x}}","5 e^{e^3}-e^{\frac{e^2}{3 \left(4 x^2+x\right)}}",1,"-E^(E^2/(3*x + 12*x^2))","A",1
8729,1,17,19,0.0067915,"\int \frac{-4+28 x-5 x^2}{-28+4 x-7 x^2+x^3} \, dx","Integrate[(-4 + 28*x - 5*x^2)/(-28 + 4*x - 7*x^2 + x^3),x]","-2 \log \left(x^2+4\right)-\log (7-x)","-\log \left(\frac{4}{625} (7-x) \left(x^2+4\right)^2\right)",1,"-Log[7 - x] - 2*Log[4 + x^2]","A",1
8730,1,27,29,0.1335717,"\int \frac{\exp \left(\frac{e^{\frac{x+40 x^2+4 x^3}{2+20 x+2 x^2}}}{x}+\frac{x+40 x^2+4 x^3}{2+20 x+2 x^2}\right) \left(-2-39 x-124 x^2+371 x^3+78 x^4+4 x^5\right)}{2 x^2+40 x^3+204 x^4+40 x^5+2 x^6} \, dx","Integrate[(E^(E^((x + 40*x^2 + 4*x^3)/(2 + 20*x + 2*x^2))/x + (x + 40*x^2 + 4*x^3)/(2 + 20*x + 2*x^2))*(-2 - 39*x - 124*x^2 + 371*x^3 + 78*x^4 + 4*x^5))/(2*x^2 + 40*x^3 + 204*x^4 + 40*x^5 + 2*x^6),x]","e^{\frac{e^{2 x-\frac{3 x}{2 \left(x^2+10 x+1\right)}}}{x}}","e^{\frac{e^{2 x-\frac{3 x}{x \left(\log \left(e^{2 x}\right)+20\right)+2}}}{x}}",1,"E^(E^(2*x - (3*x)/(2*(1 + 10*x + x^2)))/x)","A",1
8731,1,17,18,0.1889857,"\int \frac{27+2 x+e^{5+x} (2+2 x)}{4+27 x+2 e^{5+x} x+x^2} \, dx","Integrate[(27 + 2*x + E^(5 + x)*(2 + 2*x))/(4 + 27*x + 2*E^(5 + x)*x + x^2),x]","\log \left(x^2+2 e^{x+5} x+27 x+4\right)","\log \left(\left(x+2 e^{x+5}+25\right) x+2 x+4\right)",1,"Log[4 + 27*x + 2*E^(5 + x)*x + x^2]","A",1
8732,1,35,28,0.6319507,"\int \frac{-x+2 x^2-3 x^3+4 x^4-32 x^5+12 x^6+\left(2 x-4 x^2+10 x^3-6 x^4\right) \log (x)}{49 x^4-70 x^5-3 x^6+20 x^7+4 x^8+\left(-14 x^2+24 x^3-6 x^4-4 x^5\right) \log (x)+\left(1-2 x+x^2\right) \log ^2(x)} \, dx","Integrate[(-x + 2*x^2 - 3*x^3 + 4*x^4 - 32*x^5 + 12*x^6 + (2*x - 4*x^2 + 10*x^3 - 6*x^4)*Log[x])/(49*x^4 - 70*x^5 - 3*x^6 + 20*x^7 + 4*x^8 + (-14*x^2 + 24*x^3 - 6*x^4 - 4*x^5)*Log[x] + (1 - 2*x + x^2)*Log[x]^2),x]","-\frac{x^2 \left(2 x^2-x+1\right)}{(x-1) \left(-2 x^3-7 x^2+\log (x)\right)}","\frac{2 x+\frac{x+1}{x-1}}{-\frac{\log (x)}{x^2}+2 x+7}",1,"-((x^2*(1 - x + 2*x^2))/((-1 + x)*(-7*x^2 - 2*x^3 + Log[x])))","A",1
8733,1,49,20,0.0933389,"\int \frac{-24+9 x-x^2+\left(-36+33 x-10 x^2+x^3\right) \log (4)+(-12+3 x) \log (-4+x)}{\left(-36+33 x-10 x^2+x^3\right) \log (4)} \, dx","Integrate[(-24 + 9*x - x^2 + (-36 + 33*x - 10*x^2 + x^3)*Log[4] + (-12 + 3*x)*Log[-4 + x])/((-36 + 33*x - 10*x^2 + x^3)*Log[4]),x]","\frac{x \log (4)+3 \log (3-x)-4 \log (4-x)+\frac{3 (\log (x-4)+2)}{3-x}+6 \tanh ^{-1}(7-2 x)}{\log (4)}","x-\frac{x (\log (x-4)+2)}{(x-3) \log (4)}",1,"(6*ArcTanh[7 - 2*x] + x*Log[4] + 3*Log[3 - x] - 4*Log[4 - x] + (3*(2 + Log[-4 + x]))/(3 - x))/Log[4]","B",1
8734,1,45,35,0.4074938,"\int \frac{-5 x^2+\exp \left(\frac{9+3 x-20 x^2-3 x^3+e^2 \left(-3-x+7 x^2+x^3\right)}{x}\right) \left(-9-20 x^2-6 x^3+e^2 \left(3+7 x^2+2 x^3\right)\right)}{5 x^2} \, dx","Integrate[(-5*x^2 + E^((9 + 3*x - 20*x^2 - 3*x^3 + E^2*(-3 - x + 7*x^2 + x^3))/x)*(-9 - 20*x^2 - 6*x^3 + E^2*(3 + 7*x^2 + 2*x^3)))/(5*x^2),x]","\frac{1}{5} \exp \left(\left(e^2-3\right) x^2+\left(7 e^2-20\right) x-\frac{3 \left(e^2-3\right)}{x}-e^2+3\right)-x","\frac{1}{5} \exp \left(x-\left(3-e^2\right) \left((x-1) \left(x+\frac{3}{x}+8\right)+4\right)\right)-x",1,"E^(3 - E^2 - (3*(-3 + E^2))/x + (-20 + 7*E^2)*x + (-3 + E^2)*x^2)/5 - x","A",1
8735,1,235,21,0.2847627,"\int \frac{1100 x+1080 x^2+332 x^3+32 x^4+\left(1000+1040 x+328 x^2+32 x^3\right) \log (5)+\left(6000 x+10000 x^2+5760 x^3+1408 x^4+128 x^5+\left(5000+9000 x+5440 x^2+1376 x^3+128 x^4\right) \log (5)\right) \log (x)+\left(2500 x+8000 x^2+7200 x^3+2560 x^4+320 x^5+\left(4000 x+4800 x^2+1920 x^3+256 x^4\right) \log (5)\right) \log ^2(x)}{x} \, dx","Integrate[(1100*x + 1080*x^2 + 332*x^3 + 32*x^4 + (1000 + 1040*x + 328*x^2 + 32*x^3)*Log[5] + (6000*x + 10000*x^2 + 5760*x^3 + 1408*x^4 + 128*x^5 + (5000 + 9000*x + 5440*x^2 + 1376*x^3 + 128*x^4)*Log[5])*Log[x] + (2500*x + 8000*x^2 + 7200*x^3 + 2560*x^4 + 320*x^5 + (4000*x + 4800*x^2 + 1920*x^3 + 256*x^4)*Log[5])*Log[x]^2)/x,x]","4 \left(16 x^5 \log ^2(x)+16 x^4 \log (5) \log ^2(x)+160 x^4 \log ^2(x)+8 x^4 \log (x)+x^3+40 x^3 \log (625) \log ^2(x)+600 x^3 \log ^2(x)-\frac{80}{3} x^3 \log (625) \log (x)+\frac{344}{3} x^3 \log (5) \log (x)+80 x^3 \log (x)+\frac{80}{9} x^3 \log (625)-\frac{320}{9} x^3 \log (5)+10 x^2+200 x^2 \log (125) \log ^2(x)+1000 x^2 \log ^2(x)-200 x^2 \log (125) \log (x)+680 x^2 \log (5) \log (x)+250 x^2 \log (x)+100 x^2 \log (125)-299 x^2 \log (5)+25 x+1000 x \log (5) \log ^2(x)+625 x \log ^2(x)+625 \log (5) \log ^2(x)+750 x \log (125) \log (x)-2000 x \log (5) \log (x)+250 x \log (x)-750 x \log (125)+2260 x \log (5)+250 \log (5) \log (x)\right)","4 (x+\log (5)) \left(x+(-2 x-5)^2 \log (x)+5\right)^2",1,"4*(25*x + 10*x^2 + x^3 + 2260*x*Log[5] - 299*x^2*Log[5] - (320*x^3*Log[5])/9 - 750*x*Log[125] + 100*x^2*Log[125] + (80*x^3*Log[625])/9 + 250*x*Log[x] + 250*x^2*Log[x] + 80*x^3*Log[x] + 8*x^4*Log[x] + 250*Log[5]*Log[x] - 2000*x*Log[5]*Log[x] + 680*x^2*Log[5]*Log[x] + (344*x^3*Log[5]*Log[x])/3 + 750*x*Log[125]*Log[x] - 200*x^2*Log[125]*Log[x] - (80*x^3*Log[625]*Log[x])/3 + 625*x*Log[x]^2 + 1000*x^2*Log[x]^2 + 600*x^3*Log[x]^2 + 160*x^4*Log[x]^2 + 16*x^5*Log[x]^2 + 625*Log[5]*Log[x]^2 + 1000*x*Log[5]*Log[x]^2 + 16*x^4*Log[5]*Log[x]^2 + 200*x^2*Log[125]*Log[x]^2 + 40*x^3*Log[625]*Log[x]^2)","B",1
8736,1,46,21,0.2736926,"\int \frac{-2 x-4 x^2-2 x^3+\left(4 x+4 x^2\right) \log (3)-2 x \log ^2(3)+\left(-8 x-4 x^2+4 x^3+\left(6 x-6 x^2\right) \log (3)+2 x \log ^2(3)\right) \log (x)+\left(20 x+30 x^2-20 x \log (3)\right) \log ^2(x)+50 x \log ^3(x)}{\log ^3(x)} \, dx","Integrate[(-2*x - 4*x^2 - 2*x^3 + (4*x + 4*x^2)*Log[3] - 2*x*Log[3]^2 + (-8*x - 4*x^2 + 4*x^3 + (6*x - 6*x^2)*Log[3] + 2*x*Log[3]^2)*Log[x] + (20*x + 30*x^2 - 20*x*Log[3])*Log[x]^2 + 50*x*Log[x]^3)/Log[x]^3,x]","\frac{x^2 \left(x^2+25 \log ^2(x)-x (\log (9)-2)+(10 x+10-\log (59049)) \log (x)+1+\log ^2(3)-\log (9)\right)}{\log ^2(x)}","x^2 \left(-\frac{x+1-\log (3)}{\log (x)}-5\right)^2",1,"(x^2*(1 + x^2 + Log[3]^2 - x*(-2 + Log[9]) - Log[9] + (10 + 10*x - Log[59049])*Log[x] + 25*Log[x]^2))/Log[x]^2","B",1
8737,1,38,33,0.1282092,"\int \frac{5 x^2+e^x x^2+e^{x-2 x^2+x^3} \left(-3-7 x-7 x^2-11 x^3+15 x^4+e^x \left(-1-4 x^2+3 x^3\right)\right)}{e^{2 x-4 x^2+2 x^3}-2 e^{x-2 x^2+x^3} x+x^2} \, dx","Integrate[(5*x^2 + E^x*x^2 + E^(x - 2*x^2 + x^3)*(-3 - 7*x - 7*x^2 - 11*x^3 + 15*x^4 + E^x*(-1 - 4*x^2 + 3*x^3)))/(E^(2*x - 4*x^2 + 2*x^3) - 2*E^(x - 2*x^2 + x^3)*x + x^2),x]","-\frac{e^{2 x^2} x \left(5 x+e^x+3\right)}{e^{x^3+x}-e^{2 x^2} x}","\frac{x \left(5 x+\frac{e^x x+x}{x}+2\right)}{x-e^{(x-1)^2 x}}",1,"-((E^(2*x^2)*x*(3 + E^x + 5*x))/(E^(x + x^3) - E^(2*x^2)*x))","A",1
8738,1,30,21,0.0000879,"\int \left(3+48 x-3 x^2-2 x \log (-i \pi -\log (2))\right) \, dx","Integrate[3 + 48*x - 3*x^2 - 2*x*Log[(-I)*Pi - Log[2]],x]","-x^3+24 x^2-x^2 \log (-\log (2)-i \pi )+3 x","x (3-x (x-24+\log (-\log (2)+i \pi )))",1,"3*x + 24*x^2 - x^3 - x^2*Log[(-I)*Pi - Log[2]]","A",1
8739,1,27,17,0.1966833,"\int \frac{-1+2 x+\left(12 x-4 x^2\right) \log (x)+\left(17 x-12 x^2+2 x^3\right) \log ^2(x)}{x+\left(6 x-2 x^2\right) \log (x)+\left(9 x-6 x^2+x^3\right) \log ^2(x)} \, dx","Integrate[(-1 + 2*x + (12*x - 4*x^2)*Log[x] + (17*x - 12*x^2 + 2*x^3)*Log[x]^2)/(x + (6*x - 2*x^2)*Log[x] + (9*x - 6*x^2 + x^3)*Log[x]^2),x]","2 x+\frac{1}{x-3}+\frac{1}{(x-3) (x \log (x)-3 \log (x)-1)}","2 x-\frac{1}{-x+\frac{1}{\log (x)}+3}",1,"(-3 + x)^(-1) + 2*x + 1/((-3 + x)*(-1 - 3*Log[x] + x*Log[x]))","A",1
8740,1,27,30,0.2857544,"\int \frac{e^2 \left(-20 x^4-5 x^5\right) \log (4)+125 e x \log ^2(4)+\left(e^2 \left(-20 x^4-10 x^5\right) \log (4)-250 e x \log ^2(4)\right) \log (x)}{\left(e^2 \left(16 x^6+8 x^7+x^8\right)+e \left(-200 x^3-50 x^4\right) \log (4)+625 \log ^2(4)\right) \log ^2(x)} \, dx","Integrate[(E^2*(-20*x^4 - 5*x^5)*Log[4] + 125*E*x*Log[4]^2 + (E^2*(-20*x^4 - 10*x^5)*Log[4] - 250*E*x*Log[4]^2)*Log[x])/((E^2*(16*x^6 + 8*x^7 + x^8) + E*(-200*x^3 - 50*x^4)*Log[4] + 625*Log[4]^2)*Log[x]^2),x]","\frac{5 e x^2 \log (4)}{\left(e x^3 (x+4)-25 \log (4)\right) \log (x)}","\frac{x^2}{\left(\frac{x^3 (x+4)}{5 \log (4)}-\frac{5}{e}\right) \log (x)}",1,"(5*E*x^2*Log[4])/((E*x^3*(4 + x) - 25*Log[4])*Log[x])","A",1
8741,1,15,22,0.0672646,"\int \frac{e^{-4-8 x} \left(-4860-6075 x+9720 x^2\right)}{x^5} \, dx","Integrate[(E^(-4 - 8*x)*(-4860 - 6075*x + 9720*x^2))/x^5,x]","-\frac{1215 e^{-8 x-4} (x-1)}{x^4}","\frac{1215 e^{-12 (x-1)+4 x-16} (1-x)}{x^4}",1,"(-1215*E^(-4 - 8*x)*(-1 + x))/x^4","A",1
8742,1,28,29,0.0341028,"\int \frac{\exp \left(\frac{3 x+e^{200+40 x+2 x^2} x-\log \left(-2+e^2+e^5\right)}{x}\right) \left(e^{200+40 x+2 x^2} \left(40 x^2+4 x^3\right)+\log \left(-2+e^2+e^5\right)\right)}{x^2} \, dx","Integrate[(E^((3*x + E^(200 + 40*x + 2*x^2)*x - Log[-2 + E^2 + E^5])/x)*(E^(200 + 40*x + 2*x^2)*(40*x^2 + 4*x^3) + Log[-2 + E^2 + E^5]))/x^2,x]","e^{e^{2 (x+10)^2}+3} \left(-2+e^2+e^5\right)^{-1/x}","e^{e^{2 (x+10)^2}-\frac{\log \left(-2+e^2+e^5\right)}{x}+3}+1",1,"E^(3 + E^(2*(10 + x)^2))/(-2 + E^2 + E^5)^x^(-1)","A",1
8743,1,18,19,0.0184921,"\int \frac{e^{-1+x} \left(-504+504 x-504 x^2+168 x^3\right)}{225 x^2+150 x^4+25 x^6} \, dx","Integrate[(E^(-1 + x)*(-504 + 504*x - 504*x^2 + 168*x^3))/(225*x^2 + 150*x^4 + 25*x^6),x]","\frac{168 e^{x-1}}{25 \left(x^3+3 x\right)}","\frac{168 e^{x-1}}{25 x \left(x^2+3\right)}",1,"(168*E^(-1 + x))/(25*(3*x + x^3))","A",1
8744,1,7,13,0.0008914,"\int (3+2 \log (x)) \, dx","Integrate[3 + 2*Log[x],x]","x+2 x \log (x)","x+2 x \log (x)+e^3+5+\log (4)",1,"x + 2*x*Log[x]","A",1
8745,1,32,29,0.0045219,"\int \frac{-8-8 x-4 x^3+10 x^4+12 x^5-8 x^6+6 x^8}{x^3} \, dx","Integrate[(-8 - 8*x - 4*x^3 + 10*x^4 + 12*x^5 - 8*x^6 + 6*x^8)/x^3,x]","x^6-2 x^4+4 x^3+5 x^2+\frac{4}{x^2}-4 x+\frac{8}{x}","\left(x^3-x+\frac{2}{x}+2\right)^2-i \pi -\log (3-e)",1,"4/x^2 + 8/x - 4*x + 5*x^2 + 4*x^3 - 2*x^4 + x^6","A",1
8746,1,21,26,0.0021229,"\int \frac{-2-x}{8 \log \left(\frac{e^4}{4}\right)} \, dx","Integrate[(-2 - x)/(8*Log[E^4/4]),x]","\frac{\frac{x^2}{2}+2 x}{8 (\log (4)-4)}","\frac{x-\frac{x^2 (x+4)}{16 \log \left(\frac{e^4}{4}\right)}}{x}",1,"(2*x + x^2/2)/(8*(-4 + Log[4]))","A",1
8747,1,45,21,0.1496663,"\int \frac{50+50 x+\left(51+103 x+2 x^2\right) \log (x)+(1250+1250 x+(1300+2550 x) \log (x)) \log (1+x)+(625+625 x) \log (x) \log ^2(1+x)+(1250+1250 x+(1300+2550 x) \log (x)+(1250+1250 x) \log (x) \log (1+x)) \log (4 x \log (x))+(625+625 x) \log (x) \log ^2(4 x \log (x))}{(1+x) \log (x)} \, dx","Integrate[(50 + 50*x + (51 + 103*x + 2*x^2)*Log[x] + (1250 + 1250*x + (1300 + 2550*x)*Log[x])*Log[1 + x] + (625 + 625*x)*Log[x]*Log[1 + x]^2 + (1250 + 1250*x + (1300 + 2550*x)*Log[x] + (1250 + 1250*x)*Log[x]*Log[1 + x])*Log[4*x*Log[x]] + (625 + 625*x)*Log[x]*Log[4*x*Log[x]]^2)/((1 + x)*Log[x]),x]","x \left(x+625 \log ^2(x+1)+625 \log ^2(4 x \log (x))+50 \log (x+1)+50 (25 \log (x+1)+1) \log (4 x \log (x))+1\right)","x \left(x+(25 (\log (x+1)+\log (4 x \log (x)))+1)^2\right)",1,"x*(1 + x + 50*Log[1 + x] + 625*Log[1 + x]^2 + 50*(1 + 25*Log[1 + x])*Log[4*x*Log[x]] + 625*Log[4*x*Log[x]]^2)","B",1
8748,1,19,29,0.4704958,"\int \frac{x+e^{6-2 x} \left(-773768 x+2488 x^2-2 x^3\right)+2 \log (x)+e^{6-2 x} \left(2488 x-4 x^2\right) \log ^2(x)-2 e^{6-2 x} x \log ^4(x)}{386884 x-1244 x^2+x^3+\left(-1244 x+2 x^2\right) \log ^2(x)+x \log ^4(x)} \, dx","Integrate[(x + E^(6 - 2*x)*(-773768*x + 2488*x^2 - 2*x^3) + 2*Log[x] + E^(6 - 2*x)*(2488*x - 4*x^2)*Log[x]^2 - 2*E^(6 - 2*x)*x*Log[x]^4)/(386884*x - 1244*x^2 + x^3 + (-1244*x + 2*x^2)*Log[x]^2 + x*Log[x]^4),x]","e^{6-2 x}-\frac{1}{x+\log ^2(x)-622}","e^{6-2 x}+\frac{x}{x \left(-x-\log ^2(x)+623\right)-x}",1,"E^(6 - 2*x) - (-622 + x + Log[x]^2)^(-1)","A",1
8749,1,38,29,0.0404866,"\int \frac{3+2 x+3 x^2+e \left(-6+2 x-32 x^2+6 x^3\right)+e^2 \left(3-4 x+32 x^2-24 x^3+3 x^4\right)}{1+e (-2+2 x)+e^2 \left(1-2 x+x^2\right)} \, dx","Integrate[(3 + 2*x + 3*x^2 + E*(-6 + 2*x - 32*x^2 + 6*x^3) + E^2*(3 - 4*x + 32*x^2 - 24*x^3 + 3*x^4))/(1 + E*(-2 + 2*x) + E^2*(1 - 2*x + x^2)),x]","x^3-9 x^2+\frac{(10-7 e) x}{e}-\frac{10 (e-1)^3}{e^2 (e (x-1)+1)}","x \left(\left(\frac{10 x}{-x^2-\frac{x}{e}+x}+1\right) x^2+x+3\right)",1,"(-10*(-1 + E)^3)/(E^2*(1 + E*(-1 + x))) + ((10 - 7*E)*x)/E - 9*x^2 + x^3","A",1
8750,1,36,21,0.0288763,"\int \left(2 e^{2 x}+2 x+69 x^2+529 x^3+e^x \left(-1-48 x-23 x^2\right)\right) \, dx","Integrate[2*E^(2*x) + 2*x + 69*x^2 + 529*x^3 + E^x*(-1 - 48*x - 23*x^2),x]","\frac{529 x^4}{4}+23 x^3+x^2-e^x \left(23 x^2+2 x-1\right)+e^{2 x}","\left(-\frac{23 x^2}{2}-x+e^x\right)^2+e^x-4",1,"E^(2*x) + x^2 + 23*x^3 + (529*x^4)/4 - E^x*(-1 + 2*x + 23*x^2)","A",1
8751,1,50,36,0.6389382,"\int \frac{\exp \left(\frac{-5 x+10 e^{2 x} x+e^x \left(15+10 x^2\right)+\left(4 e^x x+4 x^2\right) \log ^2(x)}{5 e^{2 x} x+5 e^x x^2}\right) \left(5 e^{3 x} x+5 x^2+5 x^3+e^{2 x} \left(-15-15 x+10 x^2\right)+e^x \left(-30 x+10 x^2+5 x^3\right)+\left(8 e^{2 x} x+16 e^x x^2+8 x^3\right) \log (x)+\left(-4 e^{2 x} x^2-8 e^x x^3-4 x^4\right) \log ^2(x)\right)}{5 e^{3 x} x+10 e^{2 x} x^2+5 e^x x^3} \, dx","Integrate[(E^((-5*x + 10*E^(2*x)*x + E^x*(15 + 10*x^2) + (4*E^x*x + 4*x^2)*Log[x]^2)/(5*E^(2*x)*x + 5*E^x*x^2))*(5*E^(3*x)*x + 5*x^2 + 5*x^3 + E^(2*x)*(-15 - 15*x + 10*x^2) + E^x*(-30*x + 10*x^2 + 5*x^3) + (8*E^(2*x)*x + 16*E^x*x^2 + 8*x^3)*Log[x] + (-4*E^(2*x)*x^2 - 8*E^x*x^3 - 4*x^4)*Log[x]^2))/(5*E^(3*x)*x + 10*E^(2*x)*x^2 + 5*E^x*x^3),x]","x \exp \left(-\frac{4}{x^2 \left(e^{-x} x+1\right)}+\frac{4}{x^2}-\frac{e^{-x}}{x}+\frac{4}{5} e^{-x} \log ^2(x)+2\right)","x \exp \left(e^{-x} \left(\frac{3}{x}+\frac{4}{5} \left(\log ^2(x)-\frac{5}{x+e^x}\right)\right)+2\right)",1,"E^(2 + 4/x^2 - 1/(E^x*x) - 4/(x^2*(1 + x/E^x)) + (4*Log[x]^2)/(5*E^x))*x","A",1
8752,1,26,18,0.0044995,"\int \frac{1}{4} \left(2+e^{21} (-1-2 x)-e^{21} \log (x)\right) \, dx","Integrate[(2 + E^21*(-1 - 2*x) - E^21*Log[x])/4,x]","-\frac{1}{4} e^{21} x^2+\frac{x}{2}-\frac{1}{4} e^{21} x \log (x)","\frac{1}{4} \left(2 x-e^{21} x (x+\log (x))\right)",1,"x/2 - (E^21*x^2)/4 - (E^21*x*Log[x])/4","A",1
8753,1,14,23,0.0035533,"\int \frac{1}{2} \left(2-\log \left(5 e^x\right)\right) \, dx","Integrate[(2 - Log[5*E^x])/2,x]","x-\frac{1}{4} \log ^2\left(5 e^x\right)","\frac{1}{4} \left(x^2+5\right)+x-\frac{1}{2} x \log \left(5 e^x\right)-1",1,"x - Log[5*E^x]^2/4","A",1
8754,1,43,27,0.1777331,"\int \left(30 x-20 x^3+e^{\frac{2}{5} (28-4 x)} \left(-10 x+8 x^2\right)+e^{\frac{1}{5} (28-4 x)} \left(-30 x^2+8 x^3\right)\right) \, dx","Integrate[30*x - 20*x^3 + E^((2*(28 - 4*x))/5)*(-10*x + 8*x^2) + E^((28 - 4*x)/5)*(-30*x^2 + 8*x^3),x]","-5 e^{-8 x/5} x^2 \left(e^{8 x/5} \left(x^2-3\right)+2 e^{\frac{4 (x+7)}{5}} x+e^{56/5}\right)","5 x^2 \left(3-\left(x+e^{-x+\frac{x+13}{5}+3}\right)^2\right)",1,"(-5*x^2*(E^(56/5) + 2*E^((4*(7 + x))/5)*x + E^((8*x)/5)*(-3 + x^2)))/E^((8*x)/5)","A",1
8755,1,18,18,0.1396848,"\int \frac{-10 e^{\frac{1}{x}} x \log \left(\frac{1}{x^2}\right)+\left(-20 e^{\frac{1}{x}} x+e^{\frac{1}{x}} (-10-10 x) \log \left(\frac{1}{x^2}\right)\right) \log (x)}{x^3 \log ^2(x)} \, dx","Integrate[(-10*E^x^(-1)*x*Log[x^(-2)] + (-20*E^x^(-1)*x + E^x^(-1)*(-10 - 10*x)*Log[x^(-2)])*Log[x])/(x^3*Log[x]^2),x]","\frac{10 e^{\frac{1}{x}} \log \left(\frac{1}{x^2}\right)}{x \log (x)}","\frac{10 e^{\frac{1}{x}} \log \left(\frac{1}{x^2}\right)}{x \log (x)}",1,"(10*E^x^(-1)*Log[x^(-2)])/(x*Log[x])","A",1
8756,1,28,25,0.361707,"\int \frac{\left(6 x+2 x^2\right) \log (x)+\left(-12-10 x-2 x^2+\left(4 x+2 x^2\right) \log (x)\right) \log (2+x)+\left(-18 x-21 x^2-8 x^3-x^4+e^x \left(36 x+42 x^2+16 x^3+2 x^4\right)\right) \log ^2(2+x)}{\left(36 x+42 x^2+16 x^3+2 x^4\right) \log ^2(2+x)} \, dx","Integrate[((6*x + 2*x^2)*Log[x] + (-12 - 10*x - 2*x^2 + (4*x + 2*x^2)*Log[x])*Log[2 + x] + (-18*x - 21*x^2 - 8*x^3 - x^4 + E^x*(36*x + 42*x^2 + 16*x^3 + 2*x^4))*Log[2 + x]^2)/((36*x + 42*x^2 + 16*x^3 + 2*x^4)*Log[2 + x]^2),x]","\frac{1}{2} \left(-x+2 e^x-\frac{2 \log (x)}{(x+3) \log (x+2)}\right)","-\frac{x}{2}+e^x-\frac{\log (x)}{(x+3) \log (x+2)}-4",1,"(2*E^x - x - (2*Log[x])/((3 + x)*Log[2 + x]))/2","A",1
8757,1,34,34,2.3214863,"\int \frac{-15 x^2+e^{\frac{2-x^3+x^4}{x}} \left(10+10 x^3-15 x^4\right)}{12 x^2+3 e^{\frac{2 \left(2-x^3+x^4\right)}{x}} x^2-36 x^3+27 x^4+e^{\frac{2-x^3+x^4}{x}} \left(-12 x^2+18 x^3\right)} \, dx","Integrate[(-15*x^2 + E^((2 - x^3 + x^4)/x)*(10 + 10*x^3 - 15*x^4))/(12*x^2 + 3*E^((2*(2 - x^3 + x^4))/x)*x^2 - 36*x^3 + 27*x^4 + E^((2 - x^3 + x^4)/x)*(-12*x^2 + 18*x^3)),x]","\frac{5 e^{x^2}}{3 \left(e^{x^3+\frac{2}{x}}+e^{x^2} (3 x-2)\right)}","\frac{5}{\left(\frac{3 \left(e^{\frac{2}{x}-x \left(x-x^2\right)}-2\right)}{x}+9\right) x}",1,"(5*E^x^2)/(3*(E^(2/x + x^3) + E^x^2*(-2 + 3*x)))","A",1
8758,1,12,12,0.002468,"\int -\frac{4}{x^2-2 x \log \left(\frac{3}{2}\right)+\log ^2\left(\frac{3}{2}\right)} \, dx","Integrate[-4/(x^2 - 2*x*Log[3/2] + Log[3/2]^2),x]","\frac{4}{x-\log \left(\frac{3}{2}\right)}","\frac{4}{x-\log \left(\frac{3}{2}\right)}",1,"4/(x - Log[3/2])","A",1
8759,1,12,14,0.0041257,"\int \frac{e^{-5+x} (-15+x)}{3 x^{16}} \, dx","Integrate[(E^(-5 + x)*(-15 + x))/(3*x^16),x]","\frac{e^{x-5}}{3 x^{15}}","\frac{e^{x-5}}{3 x^{15}}+1",1,"E^(-5 + x)/(3*x^15)","A",1
8760,1,31,29,0.004399,"\int -\frac{4-60 x-(4-60 x) \log \left(\frac{3}{2}\right)+\left(-4+4 \log \left(\frac{3}{2}\right)\right) \log (x)+\left(-2+2 \log \left(\frac{3}{2}\right)\right) \log ^2(x)}{5 \log \left(\frac{3}{2}\right)} \, dx","Integrate[-1/5*(4 - 60*x - (4 - 60*x)*Log[3/2] + (-4 + 4*Log[3/2])*Log[x] + (-2 + 2*Log[3/2])*Log[x]^2)/Log[3/2],x]","-\frac{2 \left(\log \left(\frac{3}{2}\right)-1\right) \left(15 x^2-2 x+x \log ^2(x)\right)}{5 \log \left(\frac{3}{2}\right)}","2 \left(x-\frac{x}{\log \left(\frac{3}{2}\right)}\right) \left(\frac{1}{5} \left(2-\log ^2(x)\right)-3 x\right)",1,"(-2*(-1 + Log[3/2])*(-2*x + 15*x^2 + x*Log[x]^2))/(5*Log[3/2])","A",1
8761,1,21,22,0.306553,"\int \frac{-24+12 x+\left(36 x-36 \log \left(x^2\right)\right) \log \left(-x+\log \left(x^2\right)\right)+\left(x^4-x^3 \log \left(x^2\right)\right) \log ^2\left(-x+\log \left(x^2\right)\right)}{\left(-x^5+x^4 \log \left(x^2\right)\right) \log ^2\left(-x+\log \left(x^2\right)\right)} \, dx","Integrate[(-24 + 12*x + (36*x - 36*Log[x^2])*Log[-x + Log[x^2]] + (x^4 - x^3*Log[x^2])*Log[-x + Log[x^2]]^2)/((-x^5 + x^4*Log[x^2])*Log[-x + Log[x^2]]^2),x]","\frac{12}{x^3 \log \left(\log \left(x^2\right)-x\right)}-\log (x)","\frac{12}{x^3 \log \left(\log \left(x^2\right)-x\right)}-\log (x)+1",1,"-Log[x] + 12/(x^3*Log[-x + Log[x^2]])","A",1
8762,1,28,35,0.3510983,"\int \frac{e^{15} \left(10-24 x+6 x^2\right)+e^{15} \left(-10+22 x-4 x^2\right) \log (5)+e^{15} \left(-10+22 x-4 x^2\right) \log (5-x)}{-5 x+6 x^2-x^3+\left(5 x-6 x^2+x^3\right) \log (5)+\left(5 x-6 x^2+x^3\right) \log (5-x)+\left(e^5 \left(-15 x+18 x^2-3 x^3\right)+e^5 \left(15 x-18 x^2+3 x^3\right) \log (5)+e^5 \left(15 x-18 x^2+3 x^3\right) \log (5-x)\right) \log \left(\frac{-x+x^2}{-1+\log (5)+\log (5-x)}\right)+\left(e^{10} \left(-15 x+18 x^2-3 x^3\right)+e^{10} \left(15 x-18 x^2+3 x^3\right) \log (5)+e^{10} \left(15 x-18 x^2+3 x^3\right) \log (5-x)\right) \log ^2\left(\frac{-x+x^2}{-1+\log (5)+\log (5-x)}\right)+\left(e^{15} \left(-5 x+6 x^2-x^3\right)+e^{15} \left(5 x-6 x^2+x^3\right) \log (5)+e^{15} \left(5 x-6 x^2+x^3\right) \log (5-x)\right) \log ^3\left(\frac{-x+x^2}{-1+\log (5)+\log (5-x)}\right)} \, dx","Integrate[(E^15*(10 - 24*x + 6*x^2) + E^15*(-10 + 22*x - 4*x^2)*Log[5] + E^15*(-10 + 22*x - 4*x^2)*Log[5 - x])/(-5*x + 6*x^2 - x^3 + (5*x - 6*x^2 + x^3)*Log[5] + (5*x - 6*x^2 + x^3)*Log[5 - x] + (E^5*(-15*x + 18*x^2 - 3*x^3) + E^5*(15*x - 18*x^2 + 3*x^3)*Log[5] + E^5*(15*x - 18*x^2 + 3*x^3)*Log[5 - x])*Log[(-x + x^2)/(-1 + Log[5] + Log[5 - x])] + (E^10*(-15*x + 18*x^2 - 3*x^3) + E^10*(15*x - 18*x^2 + 3*x^3)*Log[5] + E^10*(15*x - 18*x^2 + 3*x^3)*Log[5 - x])*Log[(-x + x^2)/(-1 + Log[5] + Log[5 - x])]^2 + (E^15*(-5*x + 6*x^2 - x^3) + E^15*(5*x - 6*x^2 + x^3)*Log[5] + E^15*(5*x - 6*x^2 + x^3)*Log[5 - x])*Log[(-x + x^2)/(-1 + Log[5] + Log[5 - x])]^3),x]","\frac{e^{10}}{\left(e^5 \log \left(\frac{(x-1) x}{\log (-5 (x-5))-1}\right)+1\right)^2}","\frac{x^2}{\left(x \log \left(\frac{x^2-x}{\log (5-x)-1+\log (5)}\right)+\frac{x}{e^5}\right)^2}",1,"E^10/(1 + E^5*Log[((-1 + x)*x)/(-1 + Log[-5*(-5 + x)])])^2","A",1
8763,1,34,20,0.010139,"\int \frac{1}{2} \left(e (-18+9 x)+3 \log \left(\frac{5}{4}\right)+\left(e (-6+6 x)+\log \left(\frac{5}{4}\right)\right) \log \left(x^3\right)\right) \, dx","Integrate[(E*(-18 + 9*x) + 3*Log[5/4] + (E*(-6 + 6*x) + Log[5/4])*Log[x^3])/2,x]","\frac{1}{2} x \log \left(\frac{5}{4}\right) \log \left(x^3\right)-3 e x \log \left(x^3\right)+\frac{3}{2} e x^2 \log \left(x^3\right)","\frac{1}{2} x \left(3 e (x-2)+\log \left(\frac{5}{4}\right)\right) \log \left(x^3\right)",1,"-3*E*x*Log[x^3] + (3*E*x^2*Log[x^3])/2 + (x*Log[5/4]*Log[x^3])/2","A",1
8764,1,25,20,0.0241369,"\int \frac{-2+5 x+7 x^2+e \left(x+x^2\right)+\left(3 x+21 x^2+e \left(x+3 x^2\right)\right) \log (x)}{\left(-2 x+5 x^2+7 x^3+e \left(x^2+x^3\right)\right) \log (x)} \, dx","Integrate[(-2 + 5*x + 7*x^2 + E*(x + x^2) + (3*x + 21*x^2 + E*(x + 3*x^2))*Log[x])/((-2*x + 5*x^2 + 7*x^3 + E*(x^2 + x^3))*Log[x]),x]","2 \log (x+1)+\log (-e (x+1)-7 (x+1)+e+9)+\log (\log (x))","\log \left((x+1)^2\right)+\log \left(\left(-\frac{2}{x}+e+7\right) x \log (x)\right)",1,"2*Log[1 + x] + Log[9 + E - 7*(1 + x) - E*(1 + x)] + Log[Log[x]]","A",1
8765,1,38,25,0.092244,"\int \frac{e^{e^x} \left(-324 e^x-360 e^{2 x}-72 e^{3 x}-4 e^{4 x}\right)+e^{2 e^x} \left(-18 e^{2 x}-18 e^{3 x}-2 e^{4 x}\right)+2187 x^2+729 e^x x^2+81 e^{2 x} x^2+3 e^{3 x} x^2}{729+243 e^x+27 e^{2 x}+e^{3 x}} \, dx","Integrate[(E^E^x*(-324*E^x - 360*E^(2*x) - 72*E^(3*x) - 4*E^(4*x)) + E^(2*E^x)*(-18*E^(2*x) - 18*E^(3*x) - 2*E^(4*x)) + 2187*x^2 + 729*E^x*x^2 + 81*E^(2*x)*x^2 + 3*E^(3*x)*x^2)/(729 + 243*E^x + 27*E^(2*x) + E^(3*x)),x]","x^3-\frac{4 e^{x+e^x}}{e^x+9}-\frac{e^{2 \left(x+e^x\right)}}{\left(e^x+9\right)^2}","x^3-\left(\frac{e^{x+e^x}}{e^x+9}+2\right)^2",1,"-(E^(2*(E^x + x))/(9 + E^x)^2) - (4*E^(E^x + x))/(9 + E^x) + x^3","A",1
8766,1,29,16,0.0241518,"\int \frac{4 e^4+e^2 (-1-8 x)+4 x^2+e^4 \left(e^4-2 e^2 x+x^2\right)}{e^4-2 e^2 x+x^2} \, dx","Integrate[(4*E^4 + E^2*(-1 - 8*x) + 4*x^2 + E^4*(E^4 - 2*E^2*x + x^2))/(E^4 - 2*E^2*x + x^2),x]","-\left(\left(4+e^4\right) \left(e^2-x\right)\right)-\frac{e^2}{e^2-x}","x \left(\frac{1}{x-e^2}+e^4+4\right)",1,"-(E^2/(E^2 - x)) - (4 + E^4)*(E^2 - x)","A",1
8767,1,25,23,0.0407441,"\int \frac{5 x^3+2 x^4+e^5 \left(-2 x^2-x^3\right)+\left(15 x^2-3 e^5 x^2+6 x^3\right) \log \left(\frac{4}{x}\right)+\left(15 x+6 x^2\right) \log ^2\left(\frac{4}{x}\right)+(5+2 x) \log ^3\left(\frac{4}{x}\right)}{x^3+3 x^2 \log \left(\frac{4}{x}\right)+3 x \log ^2\left(\frac{4}{x}\right)+\log ^3\left(\frac{4}{x}\right)} \, dx","Integrate[(5*x^3 + 2*x^4 + E^5*(-2*x^2 - x^3) + (15*x^2 - 3*E^5*x^2 + 6*x^3)*Log[4/x] + (15*x + 6*x^2)*Log[4/x]^2 + (5 + 2*x)*Log[4/x]^3)/(x^3 + 3*x^2*Log[4/x] + 3*x*Log[4/x]^2 + Log[4/x]^3),x]","-\frac{e^5 x^3}{\left(x+\log \left(\frac{4}{x}\right)\right)^2}+x^2+5 x","x \left(-\frac{e^5 x^2}{\left(x+\log \left(\frac{4}{x}\right)\right)^2}+x+5\right)",1,"5*x + x^2 - (E^5*x^3)/(x + Log[4/x])^2","A",1
8768,1,9,9,0.0026299,"\int \left(125000 x^4 \log (x)+312500 x^4 \log ^2(x)\right) \, dx","Integrate[125000*x^4*Log[x] + 312500*x^4*Log[x]^2,x]","62500 x^5 \log ^2(x)","62500 x^5 \log ^2(x)",1,"62500*x^5*Log[x]^2","A",1
8769,1,17,18,0.0000743,"\int \left(1-2 x-8 x^3-6 x^5\right) \, dx","Integrate[1 - 2*x - 8*x^3 - 6*x^5,x]","-x^6-2 x^4-x^2+x","-\left(x^3+x\right)^2+x-20+\frac{10}{\log ^2(5)}",1,"x - x^2 - 2*x^4 - x^6","A",1
8770,1,28,28,0.0746745,"\int \frac{-140 x+130 x^3+20 x^4+10 x^6+\left(40 x-40 x^3\right) \log (x)+e^{e^x} \left(-70 x+10 x^4+e^x \left(-30 x^2-10 x^5\right)+\left(20 x+10 e^x x^2\right) \log (x)\right)}{9+6 x^3+x^6+\left(-6-2 x^3\right) \log (x)+\log ^2(x)} \, dx","Integrate[(-140*x + 130*x^3 + 20*x^4 + 10*x^6 + (40*x - 40*x^3)*Log[x] + E^E^x*(-70*x + 10*x^4 + E^x*(-30*x^2 - 10*x^5) + (20*x + 10*E^x*x^2)*Log[x]))/(9 + 6*x^3 + x^6 + (-6 - 2*x^3)*Log[x] + Log[x]^2),x]","\frac{10 x^2 \left(x^2-e^{e^x}-2\right)}{x^3-\log (x)+3}","\frac{10 x^2 \left(-x^2+e^{e^x}+2\right)}{-x^3+\log (x)-3}",1,"(10*x^2*(-2 - E^E^x + x^2))/(3 + x^3 - Log[x])","A",1
8771,1,36,29,0.0798704,"\int \frac{-16+8 x-13 x^2+2 x^3+\left(4080-2024 x+247 x^2+5 x^3-x^4\right) \log ^2\left(\frac{-3060+753 x+3 x^2-3 x^3}{-4+x}\right)}{-4080+2024 x-247 x^2-5 x^3+x^4+\left(-8160 x+4048 x^2-494 x^3-10 x^4+2 x^5\right) \log \left(\frac{-3060+753 x+3 x^2-3 x^3}{-4+x}\right)+\left(-4080 x^2+2024 x^3-247 x^4-5 x^5+x^6\right) \log ^2\left(\frac{-3060+753 x+3 x^2-3 x^3}{-4+x}\right)} \, dx","Integrate[(-16 + 8*x - 13*x^2 + 2*x^3 + (4080 - 2024*x + 247*x^2 + 5*x^3 - x^4)*Log[(-3060 + 753*x + 3*x^2 - 3*x^3)/(-4 + x)]^2)/(-4080 + 2024*x - 247*x^2 - 5*x^3 + x^4 + (-8160*x + 4048*x^2 - 494*x^3 - 10*x^4 + 2*x^5)*Log[(-3060 + 753*x + 3*x^2 - 3*x^3)/(-4 + x)] + (-4080*x^2 + 2024*x^3 - 247*x^4 - 5*x^5 + x^6)*Log[(-3060 + 753*x + 3*x^2 - 3*x^3)/(-4 + x)]^2),x]","\frac{1}{x}-\frac{1}{x \left(x \log \left(-\frac{3 \left(x^3-x^2-251 x+1020\right)}{x-4}\right)+1\right)}","\frac{x}{\frac{x}{\log \left(3 \left(\frac{x^3}{4-x}+x+255\right)\right)}+x^2}",1,"x^(-1) - 1/(x*(1 + x*Log[(-3*(1020 - 251*x - x^2 + x^3))/(-4 + x)]))","A",1
8772,1,25,30,0.4344196,"\int \frac{2+\exp \left(-50-25 e^{3 x}+5 x+e^{-50-25 e^{3 x}+5 x} x\right) \left(5 x+25 x^2-375 e^{3 x} x^2\right)}{5 x} \, dx","Integrate[(2 + E^(-50 - 25*E^(3*x) + 5*x + E^(-50 - 25*E^(3*x) + 5*x)*x)*(5*x + 25*x^2 - 375*E^(3*x)*x^2))/(5*x),x]","e^{e^{5 x-25 e^{3 x}-50} x}+\frac{2 \log (x)}{5}","e^{e^{5 \left(x-5 \left(e^{3 x}+2\right)\right)} x}-\frac{1}{5} \log \left(\frac{100}{x^2}\right)",1,"E^(E^(-50 - 25*E^(3*x) + 5*x)*x) + (2*Log[x])/5","A",1
8773,1,19,21,0.0120715,"\int \frac{-40-80 x+20 x^2+(-3+x) \log (2)}{80+40 x+20 x^2+x \log (2)} \, dx","Integrate[(-40 - 80*x + 20*x^2 + (-3 + x)*Log[2])/(80 + 40*x + 20*x^2 + x*Log[2]),x]","x-3 \log \left(20 x^2+40 x+x \log (2)+80\right)","x-3 \log \left(\frac{1}{4} x \left(x+2+\frac{\log (2)}{20}\right)+1\right)",1,"x - 3*Log[80 + 40*x + 20*x^2 + x*Log[2]]","A",1
8774,1,22,22,0.1467156,"\int \frac{-25-10 x^2-x^4+\left(-20 x^2-4 x^4\right) \log (x) \log \left(\frac{1}{\log (x)}\right)-128 x \log (x) \log ^2\left(\frac{1}{\log (x)}\right)}{64 x \log (x) \log ^2\left(\frac{1}{\log (x)}\right)} \, dx","Integrate[(-25 - 10*x^2 - x^4 + (-20*x^2 - 4*x^4)*Log[x]*Log[Log[x]^(-1)] - 128*x*Log[x]*Log[Log[x]^(-1)]^2)/(64*x*Log[x]*Log[Log[x]^(-1)]^2),x]","-\frac{\left(x^2+5\right)^2}{64 \log \left(\frac{1}{\log (x)}\right)}-2 x","-\frac{\left(x^2+5\right)^2}{64 \log \left(\frac{1}{\log (x)}\right)}-2 x",1,"-2*x - (5 + x^2)^2/(64*Log[Log[x]^(-1)])","A",1
8775,1,35,24,0.0272072,"\int \frac{-19 x-35 x^2-2 x^3+3 x^4+\left(-32-32 x-6 x^2+4 x^3\right) \log (x)+\left(-4 x+x^2\right) \log ^2(x)}{-4 x+x^2} \, dx","Integrate[(-19*x - 35*x^2 - 2*x^3 + 3*x^4 + (-32 - 32*x - 6*x^2 + 4*x^3)*Log[x] + (-4*x + x^2)*Log[x]^2)/(-4*x + x^2),x]","x^3+4 x^2-3 x+(x+4) \log ^2(x)+2 (x+4) x \log (x)+\log (4-x)-164","-x+\log (x-4)-(x+4) \left(2-(x+\log (x))^2\right)+3",1,"-164 - 3*x + 4*x^2 + x^3 + Log[4 - x] + 2*x*(4 + x)*Log[x] + (4 + x)*Log[x]^2","A",1
8776,1,30,24,0.6718488,"\int \frac{e^x x \log (x)+\left(2 e^{2 x} x+e^x \left(1+2 x^2\right)\right) \log ^2(x)+\left(-e^x x+e^x \left(x+x^2\right) \log (x)+\left(e^{2 x} \left(2 x+4 x^2\right)+e^x \left(x+4 x^2+2 x^3\right)\right) \log ^2(x)\right) \log (25 x)}{x \log ^2(x)} \, dx","Integrate[(E^x*x*Log[x] + (2*E^(2*x)*x + E^x*(1 + 2*x^2))*Log[x]^2 + (-(E^x*x) + E^x*(x + x^2)*Log[x] + (E^(2*x)*(2*x + 4*x^2) + E^x*(x + 4*x^2 + 2*x^3))*Log[x]^2)*Log[25*x])/(x*Log[x]^2),x]","\frac{e^x \left(\left(2 x^2+2 e^x x+1\right) \log (x)+x\right) \log (25 x)}{\log (x)}","e^x \left(2 \left(x+e^x\right) x+\frac{x}{\log (x)}+1\right) \log (25 x)",1,"(E^x*(x + (1 + 2*E^x*x + 2*x^2)*Log[x])*Log[25*x])/Log[x]","A",1
8777,1,32,22,0.0244496,"\int \left(-180-40 e^{2+2 x}-40 x+e^{1+x} (240+40 x)\right) \, dx","Integrate[-180 - 40*E^(2 + 2*x) - 40*x + E^(1 + x)*(240 + 40*x),x]","20 \left(-x^2-9 x-e^{2 x+2}+2 e^x (e x+5 e)\right)","20 \left(-\left(x-e^{x+1}+5\right)^2+x+e^5+25\right)",1,"20*(-E^(2 + 2*x) - 9*x - x^2 + 2*E^x*(5*E + E*x))","A",1
8778,1,25,27,0.4106825,"\int \frac{-144 x-288 e^x x-144 x^2+\left(-144 x-72 x^3+e^x \left(-144-72 x^2\right)\right) \log \left(e^{2 x}+e^x x\right)}{\left(5 e^x x^5+5 x^6\right) \log \left(e^{2 x}+e^x x\right)+\left(40 e^x x^3+40 x^4\right) \log \left(e^{2 x}+e^x x\right) \log \left(x \log \left(e^{2 x}+e^x x\right)\right)+\left(80 e^x x+80 x^2\right) \log \left(e^{2 x}+e^x x\right) \log ^2\left(x \log \left(e^{2 x}+e^x x\right)\right)} \, dx","Integrate[(-144*x - 288*E^x*x - 144*x^2 + (-144*x - 72*x^3 + E^x*(-144 - 72*x^2))*Log[E^(2*x) + E^x*x])/((5*E^x*x^5 + 5*x^6)*Log[E^(2*x) + E^x*x] + (40*E^x*x^3 + 40*x^4)*Log[E^(2*x) + E^x*x]*Log[x*Log[E^(2*x) + E^x*x]] + (80*E^x*x + 80*x^2)*Log[E^(2*x) + E^x*x]*Log[x*Log[E^(2*x) + E^x*x]]^2),x]","\frac{36}{5 \left(x^2+4 \log \left(x \log \left(e^x \left(x+e^x\right)\right)\right)\right)}","\frac{9}{5 \left(\frac{x^2}{4}+\log \left(x \log \left(e^x \left(x+e^x\right)\right)\right)\right)}",1,"36/(5*(x^2 + 4*Log[x*Log[E^x*(E^x + x)]]))","A",1
8779,1,24,19,0.0529308,"\int \frac{1}{5} \exp \left(3+\frac{1}{5} \left(-10+e^3 \left(-e^{43/16} x-x^2\right)\right)\right) \left(-e^{43/16}-2 x\right) \, dx","Integrate[(E^(3 + (-10 + E^3*(-(E^(43/16)*x) - x^2))/5)*(-E^(43/16) - 2*x))/5,x]","e^{-\frac{1}{5} e^3 x^2-\frac{1}{5} e^{91/16} x-2}","e^{-\frac{1}{5} e^3 x \left(x+e^{43/16}\right)-2}",1,"E^(-2 - (E^(91/16)*x)/5 - (E^3*x^2)/5)","A",1
8780,1,20,23,0.2125883,"\int \frac{-3 x-30 x^2+9 x^3+(-10+3 x) \log \left(\frac{10 \log (3)}{-10+3 x}\right)}{-10 x^3+3 x^4+\left(-10 x+3 x^2\right) \log \left(\frac{10 \log (3)}{-10+3 x}\right)} \, dx","Integrate[(-3*x - 30*x^2 + 9*x^3 + (-10 + 3*x)*Log[(10*Log[3])/(-10 + 3*x)])/(-10*x^3 + 3*x^4 + (-10*x + 3*x^2)*Log[(10*Log[3])/(-10 + 3*x)]),x]","\log \left(x^2+\log \left(\frac{10 \log (3)}{3 x-10}\right)\right)+\log (x)","\log \left(x \left(x^2+\log \left(\frac{4 \log (3)}{\frac{6 x}{5}-4}\right)\right)\right)+3",1,"Log[x] + Log[x^2 + Log[(10*Log[3])/(-10 + 3*x)]]","A",1
8781,1,18,19,0.0366463,"\int \frac{1}{11} e^{\frac{1}{11} \left(44-11 e^x+11 e^{2+x}-71 x\right)} \left(-71-11 e^x+11 e^{2+x}\right) \, dx","Integrate[(E^((44 - 11*E^x + 11*E^(2 + x) - 71*x)/11)*(-71 - 11*E^x + 11*E^(2 + x)))/11,x]","e^{-\frac{71 x}{11}+\left(e^2-1\right) e^x+4}","e^{-\frac{71 x}{11}-e^x+e^{x+2}+4}",1,"E^(4 + E^x*(-1 + E^2) - (71*x)/11)","A",1
8782,1,27,23,0.2536901,"\int \frac{1-e^{-4+3 x-x^4}+e^{-4+3 x-x^4} \left(15+3 x-20 x^3-4 x^4\right) \log (5+x)+(5+x) \log ^2(5+x)}{(5+x) \log ^2(5+x)} \, dx","Integrate[(1 - E^(-4 + 3*x - x^4) + E^(-4 + 3*x - x^4)*(15 + 3*x - 20*x^3 - 4*x^4)*Log[5 + x] + (5 + x)*Log[5 + x]^2)/((5 + x)*Log[5 + x]^2),x]","\frac{e^{-x^4+3 x-4}+x \log (x+5)-1}{\log (x+5)}","\frac{e^{-x^4+3 x-4}-1}{\log (x+5)}+x",1,"(-1 + E^(-4 + 3*x - x^4) + x*Log[5 + x])/Log[5 + x]","A",1
8783,1,21,22,0.0341307,"\int \frac{4+e^{2+\left(4+4 x+x^2\right) \log ^2(3)} \left(-4 x-2 x^2\right) \log ^2(3)}{x} \, dx","Integrate[(4 + E^(2 + (4 + 4*x + x^2)*Log[3]^2)*(-4*x - 2*x^2)*Log[3]^2)/x,x]","4 \log (x)-e^{(x+2)^2 \log ^2(3)+2}","\log \left(x^4\right)-e^{(x+2)^2 \log ^2(3)+2}+1",1,"-E^(2 + (2 + x)^2*Log[3]^2) + 4*Log[x]","A",1
8784,1,20,19,0.0365788,"\int \frac{8+e^{-3-60 x-2 x^2} x \left(x^2-60 x^3-4 x^4\right)}{x^3} \, dx","Integrate[(8 + E^(-3 - 60*x - 2*x^2)*x*(x^2 - 60*x^3 - 4*x^4))/x^3,x]","e^{-2 x^2-60 x-3} x-\frac{4}{x^2}","-\frac{4}{x^2}+e^{-2 x (x+30)-3} x+1",1,"-4/x^2 + E^(-3 - 60*x - 2*x^2)*x","A",1
8785,1,64,27,0.0168096,"\int \frac{-4 x^2+4 x^3-2 x^5+9 x^6+6 x^7+8 x^8+\left(30 x-20 x^2-5 x^3\right) \log (4)-50 \log ^2(4)}{2 x^5} \, dx","Integrate[(-4*x^2 + 4*x^3 - 2*x^5 + 9*x^6 + 6*x^7 + 8*x^8 + (30*x - 20*x^2 - 5*x^3)*Log[4] - 50*Log[4]^2)/(2*x^5),x]","\frac{1}{2} \left(2 x^4+\frac{25 \log ^2(4)}{2 x^4}+2 x^3-\frac{10 \log (4)}{x^3}+\frac{9 x^2}{2}+\frac{2 (1+5 \log (4))}{x^2}-2 x+\frac{5 \log (4)-4}{x}\right)","\left(x^2+\frac{5 \log (4)}{2 x^2}+\frac{x}{2}+\frac{x-1}{x}\right)^2",1,"(-2*x + (9*x^2)/2 + 2*x^3 + 2*x^4 - (10*Log[4])/x^3 + (25*Log[4]^2)/(2*x^4) + (-4 + 5*Log[4])/x + (2*(1 + 5*Log[4]))/x^2)/2","B",1
8786,1,60,26,0.4504082,"\int \frac{4 x+e^{-8 x^3-2 x^4+2 \left(4 x^2+x^3\right) \log (x)} \left(16 x-44 x^2-16 x^3+\left(32 x+12 x^2\right) \log (x)\right)+e^{-4 x^3-x^4+\left(4 x^2+x^3\right) \log (x)} \left(4+16 x^2-44 x^3-16 x^4+\left(32 x^2+12 x^3\right) \log (x)\right)}{\left(5+e^{-8 x^3-2 x^4+2 \left(4 x^2+x^3\right) \log (x)}+2 e^{-4 x^3-x^4+\left(4 x^2+x^3\right) \log (x)} x+x^2\right) \log \left(5+e^{-8 x^3-2 x^4+2 \left(4 x^2+x^3\right) \log (x)}+2 e^{-4 x^3-x^4+\left(4 x^2+x^3\right) \log (x)} x+x^2\right) \log \left(\log \left(5+e^{-8 x^3-2 x^4+2 \left(4 x^2+x^3\right) \log (x)}+2 e^{-4 x^3-x^4+\left(4 x^2+x^3\right) \log (x)} x+x^2\right)\right)} \, dx","Integrate[(4*x + E^(-8*x^3 - 2*x^4 + 2*(4*x^2 + x^3)*Log[x])*(16*x - 44*x^2 - 16*x^3 + (32*x + 12*x^2)*Log[x]) + E^(-4*x^3 - x^4 + (4*x^2 + x^3)*Log[x])*(4 + 16*x^2 - 44*x^3 - 16*x^4 + (32*x^2 + 12*x^3)*Log[x]))/((5 + E^(-8*x^3 - 2*x^4 + 2*(4*x^2 + x^3)*Log[x]) + 2*E^(-4*x^3 - x^4 + (4*x^2 + x^3)*Log[x])*x + x^2)*Log[5 + E^(-8*x^3 - 2*x^4 + 2*(4*x^2 + x^3)*Log[x]) + 2*E^(-4*x^3 - x^4 + (4*x^2 + x^3)*Log[x])*x + x^2]*Log[Log[5 + E^(-8*x^3 - 2*x^4 + 2*(4*x^2 + x^3)*Log[x]) + 2*E^(-4*x^3 - x^4 + (4*x^2 + x^3)*Log[x])*x + x^2]]),x]","2 \log \left(\log \left(\log \left(x^2+e^{-2 x^4-8 x^3} x^{2 x^2 (x+4)}+2 e^{-x^4-4 x^3} x^{(x+4) x^2+1}+5\right)\right)\right)","\log \left(\log ^2\left(\log \left(\left(e^{x^2 (x+4) (\log (x)-x)}+x\right)^2+5\right)\right)\right)",1,"2*Log[Log[Log[5 + x^2 + E^(-8*x^3 - 2*x^4)*x^(2*x^2*(4 + x)) + 2*E^(-4*x^3 - x^4)*x^(1 + x^2*(4 + x))]]]","B",1
8787,1,244,24,31.2200814,"\int \frac{-2 x^2-2 x^3-2 x^4-2 x^5+\left(4 x^2+6 x^3+6 x^4\right) \log (x)+\left(-4 x^2-6 x^3\right) \log ^2(x)+2 x^2 \log ^3(x)+\left(-524288 x^3+1572864 x^2 \log (x)-1572864 x \log ^2(x)+524288 \log ^3(x)\right) \log ^3\left(x^2\right)}{-x^4-2 x^5-x^6+\left(x^3+4 x^4+3 x^5\right) \log (x)+\left(-2 x^3-3 x^4\right) \log ^2(x)+x^3 \log ^3(x)+\left(-65536 x^4+196608 x^3 \log (x)-196608 x^2 \log ^2(x)+65536 x \log ^3(x)\right) \log ^4\left(x^2\right)} \, dx","Integrate[(-2*x^2 - 2*x^3 - 2*x^4 - 2*x^5 + (4*x^2 + 6*x^3 + 6*x^4)*Log[x] + (-4*x^2 - 6*x^3)*Log[x]^2 + 2*x^2*Log[x]^3 + (-524288*x^3 + 1572864*x^2*Log[x] - 1572864*x*Log[x]^2 + 524288*Log[x]^3)*Log[x^2]^3)/(-x^4 - 2*x^5 - x^6 + (x^3 + 4*x^4 + 3*x^5)*Log[x] + (-2*x^3 - 3*x^4)*Log[x]^2 + x^3*Log[x]^3 + (-65536*x^4 + 196608*x^3*Log[x] - 196608*x^2*Log[x]^2 + 65536*x*Log[x]^3)*Log[x^2]^4),x]","\log \left(x^4+2 x^3+x^2+\left(2097152 \left(\log \left(x^2\right)-2 \log (x)\right)-2097152 x\right) \log ^5(x)+\left(1048576 x^2-4194304 x \left(\log \left(x^2\right)-2 \log (x)\right)+1572864 \left(\log \left(x^2\right)-2 \log (x)\right)^2\right) \log ^4(x)+\left(524288 \left(\log \left(x^2\right)-2 \log (x)\right)^3-3145728 x \left(\log \left(x^2\right)-2 \log (x)\right)^2+2097152 x^2 \left(\log \left(x^2\right)-2 \log (x)\right)\right) \log ^3(x)+\left(x^2+65536 \left(\log \left(x^2\right)-2 \log (x)\right)^4-1048576 x \left(\log \left(x^2\right)-2 \log (x)\right)^3+1572864 x^2 \left(\log \left(x^2\right)-2 \log (x)\right)^2\right) \log ^2(x)+65536 x^2 \left(\log \left(x^2\right)-2 \log (x)\right)^4+\left(-2 x^3-2 x^2-131072 x \left(\log \left(x^2\right)-2 \log (x)\right)^4+524288 x^2 \left(\log \left(x^2\right)-2 \log (x)\right)^3\right) \log (x)+1048576 \log ^6(x)\right)-2 \log (x-\log (x))","\log \left(65536 \log ^4\left(x^2\right)+\left(x+\frac{x}{x-\log (x)}\right)^2\right)",1,"-2*Log[x - Log[x]] + Log[x^2 + 2*x^3 + x^4 + 1048576*Log[x]^6 + 65536*x^2*(-2*Log[x] + Log[x^2])^4 + Log[x]^5*(-2097152*x + 2097152*(-2*Log[x] + Log[x^2])) + Log[x]^4*(1048576*x^2 - 4194304*x*(-2*Log[x] + Log[x^2]) + 1572864*(-2*Log[x] + Log[x^2])^2) + Log[x]^3*(2097152*x^2*(-2*Log[x] + Log[x^2]) - 3145728*x*(-2*Log[x] + Log[x^2])^2 + 524288*(-2*Log[x] + Log[x^2])^3) + Log[x]^2*(x^2 + 1572864*x^2*(-2*Log[x] + Log[x^2])^2 - 1048576*x*(-2*Log[x] + Log[x^2])^3 + 65536*(-2*Log[x] + Log[x^2])^4) + Log[x]*(-2*x^2 - 2*x^3 + 524288*x^2*(-2*Log[x] + Log[x^2])^3 - 131072*x*(-2*Log[x] + Log[x^2])^4)]","B",1
8788,1,24,26,0.0078098,"\int \frac{-6+2 e^2-2 x}{45+5 e^4+e^2 (-30-2 x)+6 x+x^2} \, dx","Integrate[(-6 + 2*E^2 - 2*x)/(45 + 5*E^4 + E^2*(-30 - 2*x) + 6*x + x^2),x]","-\log \left(x^2+6 x-2 e^2 (x+15)+5 e^4+45\right)","9 e^2-\log \left(\left(\frac{x}{3-e^2}+1\right)^2+4\right)",1,"-Log[45 + 5*E^4 + 6*x + x^2 - 2*E^2*(15 + x)]","A",1
8789,1,36,24,0.6552229,"\int \frac{\exp \left(2 e^3 x+x \log (x)+e^{2 e^{2 e^5}} \left(2 e^3+\log (x)\right)\right) \left(e^{2 e^{2 e^5}}+x+2 e^3 x+x \log (x)\right)}{x} \, dx","Integrate[(E^(2*E^3*x + x*Log[x] + E^(2*E^(2*E^5))*(2*E^3 + Log[x]))*(E^(2*E^(2*E^5)) + x + 2*E^3*x + x*Log[x]))/x,x]","e^{2 e^3 \left(x+e^{2 e^{2 e^5}}\right)} x^{x+e^{2 e^{2 e^5}}}","e^{\left(x+e^{2 e^{2 e^5}}\right) \left(\log (x)+2 e^3\right)}",1,"E^(2*E^3*(E^(2*E^(2*E^5)) + x))*x^(E^(2*E^(2*E^5)) + x)","A",1
8790,1,13,12,0.0650984,"\int \frac{1-x+(1-2 x) \log (x)+(x+x \log (x)) \log (1+\log (x))}{x+x \log (x)} \, dx","Integrate[(1 - x + (1 - 2*x)*Log[x] + (x + x*Log[x])*Log[1 + Log[x]])/(x + x*Log[x]),x]","-2 x+x \log (\log (x)+1)+\log (x)","\log (x)+x (\log (\log (x)+1)-2)",1,"-2*x + Log[x] + x*Log[1 + Log[x]]","A",1
8791,1,24,23,0.2345402,"\int \frac{-243-783 x-621 x^2-189 x^3-20 x^4+e^{\frac{4}{9+6 x+x^2}} \left(-243-171 x-81 x^2-9 x^3\right)}{243 x+513 x^2+351 x^3+99 x^4+10 x^5+e^{\frac{4}{9+6 x+x^2}} \left(243 x+243 x^2+81 x^3+9 x^4\right)} \, dx","Integrate[(-243 - 783*x - 621*x^2 - 189*x^3 - 20*x^4 + E^(4/(9 + 6*x + x^2))*(-243 - 171*x - 81*x^2 - 9*x^3))/(243*x + 513*x^2 + 351*x^3 + 99*x^4 + 10*x^5 + E^(4/(9 + 6*x + x^2))*(243*x + 243*x^2 + 81*x^3 + 9*x^4)),x]","-\log (x)-\log \left(10 x+9 e^{\frac{4}{(x+3)^2}}+9\right)","6-\log \left(x \left(x+9 \left(x+e^{\frac{4}{(x+3)^2}}+1\right)\right)\right)",1,"-Log[x] - Log[9 + 9*E^(4/(3 + x)^2) + 10*x]","A",1
8792,1,15,25,0.1360594,"\int e^{-1-x} \left(-9 e^{1+x}+e^{e^{-1-x} x} (1-x)\right) \, dx","Integrate[E^(-1 - x)*(-9*E^(1 + x) + E^(E^(-1 - x)*x)*(1 - x)),x]","e^{e^{-x-1} x}-9 x","-x+e^{e^{-x-1} x}-\log \left(3 e^{8 x}\right)",1,"E^(E^(-1 - x)*x) - 9*x","A",1
8793,1,30,29,0.1343946,"\int \frac{x \log (4)+\log ^2(4)+e^x \left(-x^2 \log (4)-x \log ^2(4)\right)+\left(-x \log (4)+\log ^2(4)+e^x \left(x^3 \log (4)+x^2 \log ^2(4)\right)\right) \log \left(\frac{x}{4}\right)+\left(x \log (4)+\log ^2(4)+\left(x \log (4)+\log ^2(4)\right) \log \left(\frac{x}{4}\right)\right) \log \left(x^2+2 x \log (4)+\log ^2(4)\right)}{\left(x^3+x^2 \log (4)\right) \log ^2\left(\frac{x}{4}\right)} \, dx","Integrate[(x*Log[4] + Log[4]^2 + E^x*(-(x^2*Log[4]) - x*Log[4]^2) + (-(x*Log[4]) + Log[4]^2 + E^x*(x^3*Log[4] + x^2*Log[4]^2))*Log[x/4] + (x*Log[4] + Log[4]^2 + (x*Log[4] + Log[4]^2)*Log[x/4])*Log[x^2 + 2*x*Log[4] + Log[4]^2])/((x^3 + x^2*Log[4])*Log[x/4]^2),x]","\frac{\log (4) \left(e^x x-\log \left((x+\log (4))^2\right)-1\right)}{x \log \left(\frac{x}{4}\right)}","\frac{\log (4) \left(e^x-\frac{\log \left((x+\log (4))^2\right)+1}{x}\right)}{\log \left(\frac{x}{4}\right)}",1,"(Log[4]*(-1 + E^x*x - Log[(x + Log[4])^2]))/(x*Log[x/4])","A",1
8794,1,45,32,0.0683072,"\int \frac{-9+e^{1+x} (-1+x)+4 x^2+e^{\frac{1+x}{2}} \left(6-3 x-2 x^2\right)+5 \log ^2(2)}{2 x^2 \log ^2(2)} \, dx","Integrate[(-9 + E^(1 + x)*(-1 + x) + 4*x^2 + E^((1 + x)/2)*(6 - 3*x - 2*x^2) + 5*Log[2]^2)/(2*x^2*Log[2]^2),x]","\frac{4 x^2+e^{x+1}-2 e^{\frac{x+1}{2}} (2 x+3)+9-5 \log ^2(2)}{2 x \log ^2(2)}","\frac{\frac{\left(2 x-e^{\frac{x+1}{2}}+3\right)^2}{\log ^2(2)}-5}{2 x}",1,"(9 + E^(1 + x) + 4*x^2 - 2*E^((1 + x)/2)*(3 + 2*x) - 5*Log[2]^2)/(2*x*Log[2]^2)","A",1
8795,1,93,28,0.0658608,"\int \frac{10 x}{125-75 x+15 x^2-x^3+\left(600 x-240 x^2+24 x^3\right) \left(i \pi +\log \left(\frac{e}{4}\right)\right)^2+\left(960 x^2-192 x^3\right) \left(i \pi +\log \left(\frac{e}{4}\right)\right)^4+512 x^3 \left(i \pi +\log \left(\frac{e}{4}\right)\right)^6} \, dx","Integrate[(10*x)/(125 - 75*x + 15*x^2 - x^3 + (600*x - 240*x^2 + 24*x^3)*(I*Pi + Log[E/4])^2 + (960*x^2 - 192*x^3)*(I*Pi + Log[E/4])^4 + 512*x^3*(I*Pi + Log[E/4])^6),x]","-\frac{5 \left(5-2 x \left(-7+8 \pi ^2-8 \log ^2(4)+16 i \pi  (\log (4)-1)+16 \log (4)\right)\right)}{\left(-7+8 \pi ^2-8 \log ^2(4)+16 i \pi  (\log (4)-1)+16 \log (4)\right)^2 \left(-5+x \left(-7+8 \pi ^2-8 \log ^2(4)+16 i \pi  (\log (4)-1)+16 \log (4)\right)\right)^2}","\frac{x^2}{\left(-x+8 x \left(\log \left(\frac{e}{4}\right)+i \pi \right)^2+5\right)^2}",1,"(-5*(5 - 2*x*(-7 + 8*Pi^2 + (16*I)*Pi*(-1 + Log[4]) + 16*Log[4] - 8*Log[4]^2)))/((-7 + 8*Pi^2 + (16*I)*Pi*(-1 + Log[4]) + 16*Log[4] - 8*Log[4]^2)^2*(-5 + x*(-7 + 8*Pi^2 + (16*I)*Pi*(-1 + Log[4]) + 16*Log[4] - 8*Log[4]^2))^2)","B",1
8796,1,63,28,0.2134304,"\int \frac{-1+3 x^2+8 x^3+3 x^4+e^{-32-14 x-2 x^2} \left(-1-14 x-4 x^2\right)+e^{-16-7 x-x^2} \left(2+14 x-22 x^2-22 x^3-4 x^4\right)}{x^2} \, dx","Integrate[(-1 + 3*x^2 + 8*x^3 + 3*x^4 + E^(-32 - 14*x - 2*x^2)*(-1 - 14*x - 4*x^2) + E^(-16 - 7*x - x^2)*(2 + 14*x - 22*x^2 - 22*x^3 - 4*x^4))/x^2,x]","x^3+4 x^2+e^{-x^2-7 x} \left(\frac{2 x}{e^{16}}-\frac{2}{e^{16} x}+\frac{4}{e^{16}}\right)+\frac{e^{-2 x^2-14 x-32}}{x}+3 x+\frac{1}{x}","x \left(\frac{e^{x-(-x-4)^2}-1}{x}+x+2\right)^2+x",1,"x^(-1) + E^(-32 - 14*x - 2*x^2)/x + 3*x + 4*x^2 + x^3 + E^(-7*x - x^2)*(4/E^16 - 2/(E^16*x) + (2*x)/E^16)","B",1
8797,1,86,29,0.0764349,"\int \frac{-110+8 x+21 x^2-3 x^3+e^2 (-5+5 x)+\left(-60+4 x+8 x^2\right) \log \left((3+x) \log ^2(5)\right)}{15+5 x} \, dx","Integrate[(-110 + 8*x + 21*x^2 - 3*x^3 + E^2*(-5 + 5*x) + (-60 + 4*x + 8*x^2)*Log[(3 + x)*Log[5]^2])/(15 + 5*x),x]","\frac{1}{5} \left(-x^3+13 x^2+4 x^2 \log \left((x+3) \log ^2(5)\right)+5 e^2 x-50 x-20 x \log \left(x \log ^2(5)+3 \log ^2(5)\right)-60 \log \left(x \log ^2(5)+3 \log ^2(5)\right)-20 e^2 \log (x+3)+100 \log (x+3)\right)","\left(-\frac{x^2}{5}+x+e^2-2\right) \left(x-4 \left(\log \left((x+3) \log ^2(5)\right)+2\right)\right)",1,"(-50*x + 5*E^2*x + 13*x^2 - x^3 + 100*Log[3 + x] - 20*E^2*Log[3 + x] + 4*x^2*Log[(3 + x)*Log[5]^2] - 60*Log[3*Log[5]^2 + x*Log[5]^2] - 20*x*Log[3*Log[5]^2 + x*Log[5]^2])/5","B",1
8798,1,25,28,0.921792,"\int \frac{80+200 x^3+125 x^6+e^{\frac{2 \left(-4-5 x^3+5 x \log (x)\right)}{4+5 x^3}} \left(-144+40 x-160 x^3+50 x^4+25 x^6+\left(-160+40 x+400 x^3-100 x^4\right) \log (x)\right)}{16+40 x^3+25 x^6} \, dx","Integrate[(80 + 200*x^3 + 125*x^6 + E^((2*(-4 - 5*x^3 + 5*x*Log[x]))/(4 + 5*x^3))*(-144 + 40*x - 160*x^3 + 50*x^4 + 25*x^6 + (-160 + 40*x + 400*x^3 - 100*x^4)*Log[x]))/(16 + 40*x^3 + 25*x^6),x]","\frac{(x-4) x^{\frac{10 x}{5 x^3+4}}}{e^2}+5 x","(x-4) \left(e^{\frac{2 \log (x)}{x \left(\frac{4}{5 x^2}+x\right)}-2}+5\right)",1,"5*x + ((-4 + x)*x^((10*x)/(4 + 5*x^3)))/E^2","A",1
8799,1,23,23,0.1491035,"\int \frac{-4 \log (2)+7 \log (2) \log (x)-22 x \log ^2(x)+\left(4 \log (2) \log (x)-8 x \log ^2(x)\right) \log \left(\frac{-8 x^2 \log (2)+16 x^3 \log (x)}{\log (x)}\right)}{-\log (2) \log (x)+2 x \log ^2(x)} \, dx","Integrate[(-4*Log[2] + 7*Log[2]*Log[x] - 22*x*Log[x]^2 + (4*Log[2]*Log[x] - 8*x*Log[x]^2)*Log[(-8*x^2*Log[2] + 16*x^3*Log[x])/Log[x]])/(-(Log[2]*Log[x]) + 2*x*Log[x]^2),x]","x-4 x \log \left(8 x^2 \left(2 x-\frac{\log (2)}{\log (x)}\right)\right)","x-4 x \log \left(8 x^2 \left(2 x-\frac{\log (2)}{\log (x)}\right)\right)",1,"x - 4*x*Log[8*x^2*(2*x - Log[2]/Log[x])]","A",1
8800,1,28,27,0.1703971,"\int \frac{-4 \log (5) \log ^2\left(\frac{16}{x^2}\right)+e^{\frac{x}{\log \left(\frac{16}{x^2}\right)}} \left(8 x-8 x^2+\left(4 x-4 x^2\right) \log \left(\frac{16}{x^2}\right)-4 \log ^2\left(\frac{16}{x^2}\right)\right)}{3 x^2 \log ^2\left(\frac{16}{x^2}\right)} \, dx","Integrate[(-4*Log[5]*Log[16/x^2]^2 + E^(x/Log[16/x^2])*(8*x - 8*x^2 + (4*x - 4*x^2)*Log[16/x^2] - 4*Log[16/x^2]^2))/(3*x^2*Log[16/x^2]^2),x]","-\frac{4 \left((x-1) e^{\frac{x}{\log \left(\frac{16}{x^2}\right)}}-\log (5)\right)}{3 x}","\frac{(4-4 x) \left(e^{\frac{x}{\log \left(\frac{16}{x^2}\right)}}+\log (5)\right)}{3 x}",1,"(-4*(E^(x/Log[16/x^2])*(-1 + x) - Log[5]))/(3*x)","A",1
8801,1,16,21,0.0067033,"\int \frac{e^2 (5-5 x)+10 x-5 x^2}{e^2 x+x^2} \, dx","Integrate[(E^2*(5 - 5*x) + 10*x - 5*x^2)/(E^2*x + x^2),x]","-5 \left(x-\log (x)-\log \left(x+e^2\right)\right)","5 \left(\log \left(x \left(x+e^2\right)\right)-x\right)+1+\log (6+\log (4))",1,"-5*(x - Log[x] - Log[E^2 + x])","A",1
8802,1,20,21,0.1156914,"\int \frac{2 e^{3+3 x} x \log (4)+e^{2 x} \left(-6 x-6 x^2\right) \log (4)}{-27+27 e^{3+x}-9 e^{6+2 x}+e^{9+3 x}} \, dx","Integrate[(2*E^(3 + 3*x)*x*Log[4] + E^(2*x)*(-6*x - 6*x^2)*Log[4])/(-27 + 27*E^(3 + x) - 9*E^(6 + 2*x) + E^(9 + 3*x)),x]","\frac{e^{2 x} x^2 \log (4)}{\left(e^{x+3}-3\right)^2}","\frac{x^2 \log (4)}{\left(3 e^{-x}-e^3\right)^2}",1,"(E^(2*x)*x^2*Log[4])/(-3 + E^(3 + x))^2","A",1
8803,1,22,19,0.0990387,"\int \frac{e^x \left(1-x-2 \log (4 x)+\log ^2(4 x)\right) \left(6+3 x^2+(-6+6 x) \log (4 x)-3 x \log ^2(4 x)\right)}{x-x^2-2 x \log (4 x)+x \log ^2(4 x)} \, dx","Integrate[(E^x*(1 - x - 2*Log[4*x] + Log[4*x]^2)*(6 + 3*x^2 + (-6 + 6*x)*Log[4*x] - 3*x*Log[4*x]^2))/(x - x^2 - 2*x*Log[4*x] + x*Log[4*x]^2),x]","3 e^x \left(x-\log ^2(4 x)+2 \log (4 x)-1\right)","-3 e^x \left((1-\log (4 x))^2-x\right)",1,"3*E^x*(-1 + x + 2*Log[4*x] - Log[4*x]^2)","A",1
8804,1,31,28,0.0905866,"\int \frac{-60 x^2+40 x^3-8 x^4+x^5+e^4 \left(x^3-x^4\right)+\left(-44 x+60 x^2-18 x^3+2 x^4+e^4 \left(2 x^2-2 x^3\right)\right) \log (-1+x)+\left(-16+24 x-9 x^2+x^3+e^4 \left(x-x^2\right)\right) \log ^2(-1+x)}{-16 x^3+24 x^4-9 x^5+x^6+\left(-32 x^2+48 x^3-18 x^4+2 x^5\right) \log (-1+x)+\left(-16 x+24 x^2-9 x^3+x^4\right) \log ^2(-1+x)} \, dx","Integrate[(-60*x^2 + 40*x^3 - 8*x^4 + x^5 + E^4*(x^3 - x^4) + (-44*x + 60*x^2 - 18*x^3 + 2*x^4 + E^4*(2*x^2 - 2*x^3))*Log[-1 + x] + (-16 + 24*x - 9*x^2 + x^3 + E^4*(x - x^2))*Log[-1 + x]^2)/(-16*x^3 + 24*x^4 - 9*x^5 + x^6 + (-32*x^2 + 48*x^3 - 18*x^4 + 2*x^5)*Log[-1 + x] + (-16*x + 24*x^2 - 9*x^3 + x^4)*Log[-1 + x]^2),x]","\frac{e^4}{x-4}+\frac{-x-8}{(x-4) (x+\log (x-1))}+\log (x)","\frac{\frac{-x-8}{x+\log (x-1)}+e^4}{x-4}+\log (x)+5",1,"E^4/(-4 + x) + (-8 - x)/((-4 + x)*(x + Log[-1 + x])) + Log[x]","A",1
8805,1,24,21,0.051758,"\int \frac{4 \log \left(\frac{1}{2} (5+\log (4)-2 \log (\log (-1+\log (x))))\right)}{(5 x+x \log (4)+(-5 x-x \log (4)) \log (x)) \log (-1+\log (x))+(-2 x+2 x \log (x)) \log (-1+\log (x)) \log (\log (-1+\log (x)))} \, dx","Integrate[(4*Log[(5 + Log[4] - 2*Log[Log[-1 + Log[x]]])/2])/((5*x + x*Log[4] + (-5*x - x*Log[4])*Log[x])*Log[-1 + Log[x]] + (-2*x + 2*x*Log[x])*Log[-1 + Log[x]]*Log[Log[-1 + Log[x]]]),x]","\log ^2\left(\frac{5}{2} \left(1+\frac{2 \log (2)}{5}\right)-\log (\log (\log (x)-1))\right)","\log ^2\left(-\log (\log (\log (x)-1))+2+\frac{1}{2} (1+\log (4))\right)",1,"Log[(5*(1 + (2*Log[2])/5))/2 - Log[Log[-1 + Log[x]]]]^2","A",1
8806,1,346,33,0.2497705,"\int \frac{\left(-144-72 x^2-6 x^3-9 x^4\right) \log (4)+\left(-64-20 x^2+6 x^3-3 x^4\right) \log ^2(4)}{144 x^2+72 x^4+9 x^6+\left(-384 x-288 x^2-192 x^3-144 x^4-24 x^5-18 x^6\right) \log (4)+\left(256+384 x+272 x^2+192 x^3+88 x^4+24 x^5+9 x^6\right) \log ^2(4)} \, dx","Integrate[((-144 - 72*x^2 - 6*x^3 - 9*x^4)*Log[4] + (-64 - 20*x^2 + 6*x^3 - 3*x^4)*Log[4]^2)/(144*x^2 + 72*x^4 + 9*x^6 + (-384*x - 288*x^2 - 192*x^3 - 144*x^4 - 24*x^5 - 18*x^6)*Log[4] + (256 + 384*x + 272*x^2 + 192*x^3 + 88*x^4 + 24*x^5 + 9*x^6)*Log[4]^2),x]","-\frac{\log (4) \left(x^2 \left(-11664+1296 \log ^5(4)-\log ^5(256)-9 \log ^4(256)-1296 \log ^4(4) (13+\log (256))-180 \log ^3(256)-648 \log ^2(256)+72 \log ^3(4) \left(756+7 \log ^2(256)+72 \log (256)\right)-36 \log ^2(4) \left(2088+5 \log ^3(256)+46 \log ^2(256)+216 \log (256)\right)+\log (4) \left(47952+\log ^4(256)+360 \log ^3(256)+1800 \log ^2(256)+5184 \log (256)\right)-1296 \log (256)\right)+3 x (\log (4)-1) \left(1296+1296 \log ^4(4)-19 \log ^4(256)+576 \log ^3(4) (\log (256)-9)-72 \log ^2(256)-72 \log ^2(4) \left(-108+\log ^2(256)+16 \log (256)\right)+16 \log (4) \left(-324+5 \log ^3(256)+9 \log ^2(256)+36 \log (256)\right)\right)-3 \left(15552+\log ^5(256)+12 \log ^4(256)+1296 \log ^4(4) (12+\log (256))+168 \log ^3(256)+864 \log ^2(256)-192 \log ^3(4) \left(324+2 \log ^2(256)+27 \log (256)\right)-48 \log (4) \left(1296+7 \log ^3(256)+44 \log ^2(256)+108 \log (256)\right)+24 \log ^2(4) \left(3888+7 \log ^3(256)+68 \log ^2(256)+324 \log (256)\right)+1296 \log (256)\right)\right)}{3 \left(x^2+4\right) (\log (4)-1) \left(36+36 \log ^2(4)+\log ^2(256)-72 \log (4)\right)^2 (3 x (\log (4)-1)+\log (256))}","\frac{\frac{1}{3} \left(\frac{x}{x^2+4}+3\right)+x}{-x+\frac{x}{\log (4)}-\frac{4}{3}}",1,"-1/3*(Log[4]*(3*x*(-1 + Log[4])*(1296 + 1296*Log[4]^4 + 576*Log[4]^3*(-9 + Log[256]) - 72*Log[256]^2 - 19*Log[256]^4 - 72*Log[4]^2*(-108 + 16*Log[256] + Log[256]^2) + 16*Log[4]*(-324 + 36*Log[256] + 9*Log[256]^2 + 5*Log[256]^3)) - 3*(15552 + 1296*Log[256] + 864*Log[256]^2 + 168*Log[256]^3 + 12*Log[256]^4 + Log[256]^5 + 1296*Log[4]^4*(12 + Log[256]) - 192*Log[4]^3*(324 + 27*Log[256] + 2*Log[256]^2) - 48*Log[4]*(1296 + 108*Log[256] + 44*Log[256]^2 + 7*Log[256]^3) + 24*Log[4]^2*(3888 + 324*Log[256] + 68*Log[256]^2 + 7*Log[256]^3)) + x^2*(-11664 + 1296*Log[4]^5 - 1296*Log[256] - 648*Log[256]^2 - 180*Log[256]^3 - 9*Log[256]^4 - Log[256]^5 - 1296*Log[4]^4*(13 + Log[256]) + 72*Log[4]^3*(756 + 72*Log[256] + 7*Log[256]^2) - 36*Log[4]^2*(2088 + 216*Log[256] + 46*Log[256]^2 + 5*Log[256]^3) + Log[4]*(47952 + 5184*Log[256] + 1800*Log[256]^2 + 360*Log[256]^3 + Log[256]^4))))/((4 + x^2)*(-1 + Log[4])*(3*x*(-1 + Log[4]) + Log[256])*(36 - 72*Log[4] + 36*Log[4]^2 + Log[256]^2)^2)","B",1
8807,1,10,10,0.0088565,"\int \frac{e^x (1-x)+x^2}{x^2} \, dx","Integrate[(E^x*(1 - x) + x^2)/x^2,x]","x-\frac{e^x}{x}","x-\frac{e^x}{x}",1,"-(E^x/x) + x","A",1
8808,1,26,32,0.0263405,"\int \frac{e^x \left(e^{5-x}-4 x^2+4 x^3\right)}{8 x^2 \log (4)} \, dx","Integrate[(E^x*(E^(5 - x) - 4*x^2 + 4*x^3))/(8*x^2*Log[4]),x]","\frac{e^x (4 x-8)-\frac{e^5}{x}}{8 \log (4)}","\frac{e^x \left(x^2-2 x-\frac{e^{5-x}}{4}\right)}{2 x \log (4)}",1,"(-(E^5/x) + E^x*(-8 + 4*x))/(8*Log[4])","A",1
8809,1,46,28,0.2632585,"\int \frac{\left(32+32 x-32 x^2-32 x^3\right) \log ^3(1+x)+\left(-6 x^5-6 x^7\right) \log ^3\left(\frac{1+x^2}{x}\right)+\left(30 x^3+12 x^4+42 x^5+12 x^6+12 x^7\right) \log (1+x) \log ^3\left(\frac{1+x^2}{x}\right)+\left(-60 x^2-60 x^3-60 x^4-60 x^5\right) \log ^2(1+x) \log ^3\left(\frac{1+x^2}{x}\right)}{\left(x+x^2+x^3+x^4\right) \log ^3(1+x) \log ^3\left(\frac{1+x^2}{x}\right)} \, dx","Integrate[((32 + 32*x - 32*x^2 - 32*x^3)*Log[1 + x]^3 + (-6*x^5 - 6*x^7)*Log[(1 + x^2)/x]^3 + (30*x^3 + 12*x^4 + 42*x^5 + 12*x^6 + 12*x^7)*Log[1 + x]*Log[(1 + x^2)/x]^3 + (-60*x^2 - 60*x^3 - 60*x^4 - 60*x^5)*Log[1 + x]^2*Log[(1 + x^2)/x]^3)/((x + x^2 + x^3 + x^4)*Log[1 + x]^3*Log[(1 + x^2)/x]^3),x]","60 \text{Ei}(\log (x+1))-60 \text{li}(x+1)+\frac{3 x^4}{\log ^2(x+1)}-\frac{30 x^2}{\log (x+1)}+\frac{16}{\log ^2\left(x+\frac{1}{x}\right)}","3 \left(\frac{x^2}{\log (x+1)}-5\right)^2+\frac{16}{\log ^2\left(x+\frac{1}{x}\right)}+5",1,"60*ExpIntegralEi[Log[1 + x]] + (3*x^4)/Log[1 + x]^2 - (30*x^2)/Log[1 + x] + 16/Log[x^(-1) + x]^2 - 60*LogIntegral[1 + x]","C",1
8810,1,31,25,0.0767902,"\int \frac{-16 x^4 \log ^2(5)+\left(-16 x^3 \log ^2(5)+\left(-4 x^2+32 x^4\right) \log ^2(5) \log (x)\right) \log (\log (x))+\left(\left(4 x^2+48 x^3\right) \log ^2(5) \log (x)+8 x^2 \log ^2(5) \log ^2(x)\right) \log ^2(\log (x))+\left(\left(4 x+16 x^2\right) \log ^2(5) \log (x)+(1+4 x) \log ^2(5) \log ^2(x)\right) \log ^3(\log (x))}{3 x \log (x) \log ^3(\log (x))} \, dx","Integrate[(-16*x^4*Log[5]^2 + (-16*x^3*Log[5]^2 + (-4*x^2 + 32*x^4)*Log[5]^2*Log[x])*Log[Log[x]] + ((4*x^2 + 48*x^3)*Log[5]^2*Log[x] + 8*x^2*Log[5]^2*Log[x]^2)*Log[Log[x]]^2 + ((4*x + 16*x^2)*Log[5]^2*Log[x] + (1 + 4*x)*Log[5]^2*Log[x]^2)*Log[Log[x]]^3)/(3*x*Log[x]*Log[Log[x]]^3),x]","\frac{\log ^2(5) \left(4 x^2+(4 x+\log (x)) \log (\log (x))\right)^2}{6 \log ^2(\log (x))}","\frac{1}{6} \log ^2(5) \left(\log (x)+4 x \left(\frac{x}{\log (\log (x))}+1\right)\right)^2",1,"(Log[5]^2*(4*x^2 + (4*x + Log[x])*Log[Log[x]])^2)/(6*Log[Log[x]]^2)","A",1
8811,1,33,22,0.2372195,"\int \frac{\exp \left(\frac{-x-3 x^4+\left(-x+x^4\right) \log (4+4 x)}{-3+\log (4+4 x)}\right) \left(3+7 x+36 x^3+36 x^4+\left(2+2 x-24 x^3-24 x^4\right) \log (4+4 x)+\left(-1-x+4 x^3+4 x^4\right) \log ^2(4+4 x)\right)}{9+9 x+(-6-6 x) \log (4+4 x)+(1+x) \log ^2(4+4 x)} \, dx","Integrate[(E^((-x - 3*x^4 + (-x + x^4)*Log[4 + 4*x])/(-3 + Log[4 + 4*x]))*(3 + 7*x + 36*x^3 + 36*x^4 + (2 + 2*x - 24*x^3 - 24*x^4)*Log[4 + 4*x] + (-1 - x + 4*x^3 + 4*x^4)*Log[4 + 4*x]^2))/(9 + 9*x + (-6 - 6*x)*Log[4 + 4*x] + (1 + x)*Log[4 + 4*x]^2),x]","\exp \left(\frac{x \left(-3 x^3+\left(x^3-1\right) \log (4 (x+1))-1\right)}{\log (4 (x+1))-3}\right)","e^{x^4-x-\frac{4 x}{\log (4 x+4)-3}}",1,"E^((x*(-1 - 3*x^3 + (-1 + x^3)*Log[4*(1 + x)]))/(-3 + Log[4*(1 + x)]))","A",1
8812,1,37,26,0.4428841,"\int \frac{8 x-6 x^2-2 x^3+\left(-8 x-2 x^2\right) \log (4+x)+e^{e^x-x^2 \log (-1+x+\log (4+x))} \left(-4+3 x+x^2-5 x^3-x^4+e^x \left(-4 x+3 x^2+x^3\right)+\left(4+x+e^x \left(4 x+x^2\right)\right) \log (4+x)+\left(8 x^2-6 x^3-2 x^4+\left(-8 x^2-2 x^3\right) \log (4+x)\right) \log (-1+x+\log (4+x))\right)}{4 x^2-3 x^3-x^4+\left(-4 x^2-x^3\right) \log (4+x)+e^{e^x-x^2 \log (-1+x+\log (4+x))} \left(-4 x+3 x^2+x^3+\left(4 x+x^2\right) \log (4+x)\right)} \, dx","Integrate[(8*x - 6*x^2 - 2*x^3 + (-8*x - 2*x^2)*Log[4 + x] + E^(E^x - x^2*Log[-1 + x + Log[4 + x]])*(-4 + 3*x + x^2 - 5*x^3 - x^4 + E^x*(-4*x + 3*x^2 + x^3) + (4 + x + E^x*(4*x + x^2))*Log[4 + x] + (8*x^2 - 6*x^3 - 2*x^4 + (-8*x^2 - 2*x^3)*Log[4 + x])*Log[-1 + x + Log[4 + x]]))/(4*x^2 - 3*x^3 - x^4 + (-4*x^2 - x^3)*Log[4 + x] + E^(E^x - x^2*Log[-1 + x + Log[4 + x]])*(-4*x + 3*x^2 + x^3 + (4*x + x^2)*Log[4 + x])),x]","x^2 (-\log (x+\log (x+4)-1))+\log \left(e^{e^x}-x (x+\log (x+4)-1)^{x^2}\right)+\log (x)","\log \left(x \left(x-e^{e^x-x^2 \log (x+\log (x+4)-1)}\right)\right)",1,"Log[x] - x^2*Log[-1 + x + Log[4 + x]] + Log[E^E^x - x*(-1 + x + Log[4 + x])^x^2]","A",1
8813,1,99,36,0.3493506,"\int \frac{-1536 x^9-7424 x^{10}+400 x^{12}+\left(-1536 x^7-7424 x^8-320 x^9+440 x^{10}\right) \log ^2(16)+\left(-576 x^5-2784 x^6-160 x^7+157 x^8\right) \log ^4(16)+\left(-96 x^3-464 x^4-20 x^5+22 x^6\right) \log ^6(16)+\left(-6 x-29 x^2+x^4\right) \log ^8(16)}{2304 x^8+44544 x^9+194560 x^{10}-198048 x^{11}+69856 x^{12}-10800 x^{13}+625 x^{14}+\left(2304 x^6+44544 x^7+195520 x^8-189008 x^9+63216 x^{10}-9220 x^{11}+500 x^{12}\right) \log ^2(16)+\left(864 x^4+16704 x^5+73680 x^6-67482 x^7+21374 x^8-2942 x^9+150 x^{10}\right) \log ^4(16)+\left(144 x^2+2784 x^3+12340 x^4-10680 x^5+3200 x^6-416 x^7+20 x^8\right) \log ^6(16)+\left(9+174 x+775 x^2-632 x^3+179 x^4-22 x^5+x^6\right) \log ^8(16)} \, dx","Integrate[(-1536*x^9 - 7424*x^10 + 400*x^12 + (-1536*x^7 - 7424*x^8 - 320*x^9 + 440*x^10)*Log[16]^2 + (-576*x^5 - 2784*x^6 - 160*x^7 + 157*x^8)*Log[16]^4 + (-96*x^3 - 464*x^4 - 20*x^5 + 22*x^6)*Log[16]^6 + (-6*x - 29*x^2 + x^4)*Log[16]^8)/(2304*x^8 + 44544*x^9 + 194560*x^10 - 198048*x^11 + 69856*x^12 - 10800*x^13 + 625*x^14 + (2304*x^6 + 44544*x^7 + 195520*x^8 - 189008*x^9 + 63216*x^10 - 9220*x^11 + 500*x^12)*Log[16]^2 + (864*x^4 + 16704*x^5 + 73680*x^6 - 67482*x^7 + 21374*x^8 - 2942*x^9 + 150*x^10)*Log[16]^4 + (144*x^2 + 2784*x^3 + 12340*x^4 - 10680*x^5 + 3200*x^6 - 416*x^7 + 20*x^8)*Log[16]^6 + (9 + 174*x + 775*x^2 - 632*x^3 + 179*x^4 - 22*x^5 + x^6)*Log[16]^8),x]","-\frac{x^2 \left(4 x^2+\log ^2(16)\right)^2}{25 x^7-216 x^6+2 x^5 \left(232+5 \log ^2(16)\right)+x^4 \left(48-98 \log ^2(16)\right)+x^3 \log ^2(16) \left(232+\log ^2(16)\right)+x^2 \left(24 \log ^2(16)-11 \log ^4(16)\right)+29 x \log ^4(16)+3 \log ^4(16)}","\frac{x}{-\left(-\frac{x}{\frac{\log ^2(16)}{x^2}+4}-x+5\right)^2+x-\frac{3}{x}-4}",1,"-((x^2*(4*x^2 + Log[16]^2)^2)/(-216*x^6 + 25*x^7 + 3*Log[16]^4 + 29*x*Log[16]^4 + x^4*(48 - 98*Log[16]^2) + x^3*Log[16]^2*(232 + Log[16]^2) + 2*x^5*(232 + 5*Log[16]^2) + x^2*(24*Log[16]^2 - 11*Log[16]^4)))","B",1
8814,1,14,16,0.0579888,"\int e^{36 x^2-120 x^3+100 x^4} \left(72 x-360 x^2+400 x^3\right) \, dx","Integrate[E^(36*x^2 - 120*x^3 + 100*x^4)*(72*x - 360*x^2 + 400*x^3),x]","e^{4 (3-5 x)^2 x^2}","e^{(5 x (2 x-1)-x)^2}",1,"E^(4*(3 - 5*x)^2*x^2)","A",1
8815,1,33,29,0.1254063,"\int \frac{e^{-256 x+32 x^2-x^3} \left(2+2 x+2 e^{2 x} x^2+e^x \left(4 x+x^2-x^3\right)+\left(-512 x-128 x^2+58 x^3-3 x^4+e^{2 x} \left(-512 x^3+128 x^4-6 x^5\right)+e^x \left(-1024 x^2+52 x^4-3 x^5\right)\right) \log \left(\frac{2 x+x^2+2 e^x x^2}{2+2 e^x x}\right)\right)}{2 x+x^2+2 e^{2 x} x^3+e^x \left(4 x^2+x^3\right)} \, dx","Integrate[(E^(-256*x + 32*x^2 - x^3)*(2 + 2*x + 2*E^(2*x)*x^2 + E^x*(4*x + x^2 - x^3) + (-512*x - 128*x^2 + 58*x^3 - 3*x^4 + E^(2*x)*(-512*x^3 + 128*x^4 - 6*x^5) + E^x*(-1024*x^2 + 52*x^4 - 3*x^5))*Log[(2*x + x^2 + 2*E^x*x^2)/(2 + 2*E^x*x)]))/(2*x + x^2 + 2*E^(2*x)*x^3 + E^x*(4*x^2 + x^3)),x]","e^{-(x-16)^2 x} \log \left(\frac{x \left(2 e^x x+x+2\right)}{2 e^x x+2}\right)","e^{-(x-16)^2 x} \log \left(\frac{x}{2 e^x+\frac{2}{x}}+x\right)",1,"Log[(x*(2 + x + 2*E^x*x))/(2 + 2*E^x*x)]/E^((-16 + x)^2*x)","A",1
8816,1,26,25,0.0801583,"\int \frac{-2 x+x^2-2 \log \left(\frac{e^x}{2}\right) \log \left(\log \left(\frac{e^x}{2}\right)\right) \log \left(\log \left(\log \left(\frac{e^x}{2}\right)\right)\right)+\left(-1+x^2\right) \log \left(\frac{e^x}{2}\right) \log \left(\log \left(\frac{e^x}{2}\right)\right) \log ^2\left(\log \left(\log \left(\frac{e^x}{2}\right)\right)\right)}{x^2 \log \left(\frac{e^x}{2}\right) \log \left(\log \left(\frac{e^x}{2}\right)\right) \log ^2\left(\log \left(\log \left(\frac{e^x}{2}\right)\right)\right)} \, dx","Integrate[(-2*x + x^2 - 2*Log[E^x/2]*Log[Log[E^x/2]]*Log[Log[Log[E^x/2]]] + (-1 + x^2)*Log[E^x/2]*Log[Log[E^x/2]]*Log[Log[Log[E^x/2]]]^2)/(x^2*Log[E^x/2]*Log[Log[E^x/2]]*Log[Log[Log[E^x/2]]]^2),x]","x+\frac{1}{x}+\frac{2-x}{x \log \left(\log \left(\log \left(\frac{e^x}{2}\right)\right)\right)}","x+\frac{1-\frac{x-2}{\log \left(\log \left(\log \left(\frac{e^x}{2}\right)\right)\right)}}{x}",1,"x^(-1) + x + (2 - x)/(x*Log[Log[Log[E^x/2]]])","A",1
8817,1,123,23,0.4574049,"\int \frac{e^{\frac{\log (x) \log \left(x^2\right)}{5 x+x^3+e^{x^2} \log \left(x^2\right)}} \left(\left(10 x+2 x^3\right) \log (x)+\left(5 x+x^3+\left(-5 x-3 x^3\right) \log (x)\right) \log \left(x^2\right)+\left(e^{x^2}-2 e^{x^2} x^2 \log (x)\right) \log ^2\left(x^2\right)\right)}{25 x^3+10 x^5+x^7+e^{x^2} \left(10 x^2+2 x^4\right) \log \left(x^2\right)+e^{2 x^2} x \log ^2\left(x^2\right)} \, dx","Integrate[(E^((Log[x]*Log[x^2])/(5*x + x^3 + E^x^2*Log[x^2]))*((10*x + 2*x^3)*Log[x] + (5*x + x^3 + (-5*x - 3*x^3)*Log[x])*Log[x^2] + (E^x^2 - 2*E^x^2*x^2*Log[x])*Log[x^2]^2))/(25*x^3 + 10*x^5 + x^7 + E^x^2*(10*x^2 + 2*x^4)*Log[x^2] + E^(2*x^2)*x*Log[x^2]^2),x]","e^{-\frac{1}{2} e^{-2 x^2} x \left(x^2+5\right)} \left(x^2\right)^{-\frac{e^{-x^2}}{2}} x^{\frac{e^{-2 x^2} \left(x^2 \left(x^2+5\right)^2+e^{2 x^2} \log ^2\left(x^2\right)+2 e^{x^2} \left(x^3+e^{x^2} \log (x)+5 x\right) \log \left(x^2\right)\right)}{2 \log (x) \left(x^3+e^{x^2} \log \left(x^2\right)+5 x\right)}}","x^{\frac{1}{e^{x^2}+\frac{x \left(x^2+5\right)}{\log \left(x^2\right)}}}",1,"x^((x^2*(5 + x^2)^2 + 2*E^x^2*(5*x + x^3 + E^x^2*Log[x])*Log[x^2] + E^(2*x^2)*Log[x^2]^2)/(2*E^(2*x^2)*Log[x]*(5*x + x^3 + E^x^2*Log[x^2])))/(E^((x*(5 + x^2))/(2*E^(2*x^2)))*(x^2)^(1/(2*E^x^2)))","B",1
8818,1,19,20,1.2857003,"\int \frac{-2+x+((-12+7 x) \log (3)+(12-7 x) \log (x)) \log (-\log (3)+\log (x))}{\left(-256 x^7+256 x^8-64 x^9\right) \log (3)+\left(256 x^7-256 x^8+64 x^9\right) \log (x)} \, dx","Integrate[(-2 + x + ((-12 + 7*x)*Log[3] + (12 - 7*x)*Log[x])*Log[-Log[3] + Log[x]])/((-256*x^7 + 256*x^8 - 64*x^9)*Log[3] + (256*x^7 - 256*x^8 + 64*x^9)*Log[x]),x]","\frac{\log \left(\log \left(\frac{x}{3}\right)\right)}{64 (x-2) x^6}","\frac{\log (\log (x)-\log (3))}{64 (x-2) x^6}",1,"Log[Log[x/3]]/(64*(-2 + x)*x^6)","A",1
8819,1,23,27,0.2070038,"\int \frac{5 \log (x)+\left(10+\left(-15+x^2\right) \log (x)\right) \log (2 x)-5 \log (x) \log (2 x) \log \left(x \log ^2(x) \log (2 x)\right)}{x^2 \log (x) \log (2 x)} \, dx","Integrate[(5*Log[x] + (10 + (-15 + x^2)*Log[x])*Log[2*x] - 5*Log[x]*Log[2*x]*Log[x*Log[x]^2*Log[2*x]])/(x^2*Log[x]*Log[2*x]),x]","x+\frac{20}{x}+\frac{5 \log \left(x \log ^2(x) \log (2 x)\right)}{x}","x+\frac{5 \left(-x+\log \left(x \log ^2(x) \log (2 x)\right)+4\right)}{x}-\log (3)",1,"20/x + x + (5*Log[x*Log[x]^2*Log[2*x]])/x","A",1
8820,1,23,25,0.0159607,"\int \frac{-71+96 e^2-80 e^4+32 e^6-8 e^8-3 x+3 x^2-x^3}{-1+3 x-3 x^2+x^3} \, dx","Integrate[(-71 + 96*E^2 - 80*E^4 + 32*E^6 - 8*E^8 - 3*x + 3*x^2 - x^3)/(-1 + 3*x - 3*x^2 + x^3),x]","\frac{4 \left(3-2 e^2+e^4\right)^2}{(x-1)^2}-x","-x+\frac{4 \left(2+\left(e^2-1\right)^2\right)^2}{(1-x)^2}+25",1,"(4*(3 - 2*E^2 + E^4)^2)/(-1 + x)^2 - x","A",1
8821,1,31,33,0.1132455,"\int \frac{e^{\frac{e^x+x^2}{x^3 \log \left(-2+e^{3/2}\right) \log (4+2 x)}} \left(-e^x x-x^3+\left(-2 x^2-x^3+e^x \left(-6-x+x^2\right)\right) \log (4+2 x)\right)}{\left(2 x^4+x^5\right) \log \left(-2+e^{3/2}\right) \log ^2(4+2 x)} \, dx","Integrate[(E^((E^x + x^2)/(x^3*Log[-2 + E^(3/2)]*Log[4 + 2*x]))*(-(E^x*x) - x^3 + (-2*x^2 - x^3 + E^x*(-6 - x + x^2))*Log[4 + 2*x]))/((2*x^4 + x^5)*Log[-2 + E^(3/2)]*Log[4 + 2*x]^2),x]","\exp \left(\frac{x^2+e^x}{x^3 \log \left(e^{3/2}-2\right) \log (2 (x+2))}\right)","e^{\frac{x+\frac{e^x}{x}}{x^2 \log \left(e^{3/2}-2\right) \log (2 x+4)}}",1,"E^((E^x + x^2)/(x^3*Log[-2 + E^(3/2)]*Log[2*(2 + x)]))","A",1
8822,1,43,31,0.1596033,"\int \frac{\left(20 x-996 x^2+11900 x^3+12380 x^4+4992 x^5+1000 x^6+100 x^7+4 x^8+e^{x^2} \left(-40+1992 x-23800 x^2-24760 x^3-9984 x^4-2000 x^5-200 x^6-8 x^7\right)\right) \log \left(2 x^2\right)+\left(-5 x-5 x^2+3225 x^3+3165 x^4+1254 x^5+250 x^6+25 x^7+x^8+e^{x^2} \left(508 x-12380 x^2-13516 x^3+6896 x^4+11380 x^5+4892 x^6+996 x^7+100 x^8+4 x^9\right)\right) \log ^2\left(2 x^2\right)}{3125 x^3+3125 x^4+1250 x^5+250 x^6+25 x^7+x^8+e^{2 x^2} \left(12500 x+12500 x^2+5000 x^3+1000 x^4+100 x^5+4 x^6\right)+e^{x^2} \left(-12500 x^2-12500 x^3-5000 x^4-1000 x^5-100 x^6-4 x^7\right)} \, dx","Integrate[((20*x - 996*x^2 + 11900*x^3 + 12380*x^4 + 4992*x^5 + 1000*x^6 + 100*x^7 + 4*x^8 + E^x^2*(-40 + 1992*x - 23800*x^2 - 24760*x^3 - 9984*x^4 - 2000*x^5 - 200*x^6 - 8*x^7))*Log[2*x^2] + (-5*x - 5*x^2 + 3225*x^3 + 3165*x^4 + 1254*x^5 + 250*x^6 + 25*x^7 + x^8 + E^x^2*(508*x - 12380*x^2 - 13516*x^3 + 6896*x^4 + 11380*x^5 + 4892*x^6 + 996*x^7 + 100*x^8 + 4*x^9))*Log[2*x^2]^2)/(3125*x^3 + 3125*x^4 + 1250*x^5 + 250*x^6 + 25*x^7 + x^8 + E^(2*x^2)*(12500*x + 12500*x^2 + 5000*x^3 + 1000*x^4 + 100*x^5 + 4*x^6) + E^x^2*(-12500*x^2 - 12500*x^3 - 5000*x^4 - 1000*x^5 - 100*x^6 - 4*x^7)),x]","-\frac{\left(x^3+10 x^2+25 x-1\right)^2 \log ^2\left(2 x^2\right)}{\left(2 e^{x^2}-x\right) (x+5)^4}","\frac{\left(\frac{1}{(x+5)^2}-x\right)^2 \log ^2\left(2 x^2\right)}{x-2 e^{x^2}}",1,"-(((-1 + 25*x + 10*x^2 + x^3)^2*Log[2*x^2]^2)/((2*E^x^2 - x)*(5 + x)^4))","A",1
8823,1,29,27,0.0148035,"\int \frac{-16+x^2-4 e^{e^9} x^2-192 x^3-96 x^4}{4 x^2} \, dx","Integrate[(-16 + x^2 - 4*E^E^9*x^2 - 192*x^3 - 96*x^4)/(4*x^2),x]","-8 x^3-24 x^2-e^{e^9} x+\frac{x}{4}+\frac{4}{x}","-(x+3) \left(8 x^2+e^{e^9}\right)+\frac{x}{4}+\frac{4}{x}",1,"4/x + x/4 - E^E^9*x - 24*x^2 - 8*x^3","A",1
8824,0,0,30,0.5334498,"\int \frac{12+3 e^{-1+x}+6 x+6 x \log (3)+15 \log (x)}{e^{-1+x}-x+x^2+x^2 \log (3)+5 x \log (x)} \, dx","Integrate[(12 + 3*E^(-1 + x) + 6*x + 6*x*Log[3] + 15*Log[x])/(E^(-1 + x) - x + x^2 + x^2*Log[3] + 5*x*Log[x]),x]","\int \frac{12+3 e^{-1+x}+6 x+6 x \log (3)+15 \log (x)}{e^{-1+x}-x+x^2+x^2 \log (3)+5 x \log (x)} \, dx","3 \log \left(x-x \left(\frac{x^2 \log (3)+e^{x-1}}{x}+x+5 \log (x)\right)\right)",1,"Integrate[(12 + 3*E^(-1 + x) + 6*x + 6*x*Log[3] + 15*Log[x])/(E^(-1 + x) - x + x^2 + x^2*Log[3] + 5*x*Log[x]), x]","F",-1
8825,1,21,21,0.0105584,"\int \frac{e^{1-e^4+e^{e^4}+x^2} \left(-1+2 x^2\right)}{x^2} \, dx","Integrate[(E^(1 - E^4 + E^E^4 + x^2)*(-1 + 2*x^2))/x^2,x]","\frac{e^{x^2+e^{e^4}-e^4+1}}{x}","\frac{e^{x^2+e^{e^4}-e^4+1}}{x}",1,"E^(1 - E^4 + E^E^4 + x^2)/x","A",1
8826,1,19960,22,87.1247943,"\int \frac{-12 x^3+60 x^4-108 x^5+84 x^6-24 x^7+\left(-144 x^2+384 x^3-576 x^5+336 x^6\right) \log (2)+\left(-576 x+2304 x^3-1728 x^5\right) \log ^2(2)+\left(-768-3072 x+6144 x^3+3840 x^4\right) \log ^3(2)+\left(-3072-9216 x-9216 x^2-3072 x^3\right) \log ^4(2)}{1-2 x^4+8 x^5-12 x^6+8 x^7-x^8-8 x^9+28 x^{10}-56 x^{11}+70 x^{12}-56 x^{13}+28 x^{14}-8 x^{15}+x^{16}+\left(-32 x^3+64 x^4-64 x^6+64 x^7-192 x^8+448 x^9-448 x^{10}+448 x^{12}-448 x^{13}+192 x^{14}-32 x^{15}\right) \log (2)+\left(-192 x^2+384 x^4+256 x^6-1792 x^7+1792 x^8+1792 x^9-4480 x^{10}+1792 x^{11}+1792 x^{12}-1792 x^{13}+448 x^{14}\right) \log ^2(2)+\left(-512 x-1024 x^2+1024 x^4+4096 x^5-7168 x^6-7168 x^7+21504 x^8-21504 x^{10}+7168 x^{11}+7168 x^{12}-3584 x^{13}\right) \log ^3(2)+\left(-512-2048 x-3072 x^2-2048 x^3+17408 x^4-71680 x^6+107520 x^8-71680 x^{10}+17920 x^{12}\right) \log ^4(2)+\left(57344 x^3+114688 x^4-114688 x^5-344064 x^6+344064 x^8+114688 x^9-114688 x^{10}-57344 x^{11}\right) \log ^5(2)+\left(114688 x^2+458752 x^3+458752 x^4-458752 x^5-1146880 x^6-458752 x^7+458752 x^8+458752 x^9+114688 x^{10}\right) \log ^6(2)+\left(131072 x+786432 x^2+1835008 x^3+1835008 x^4-1835008 x^6-1835008 x^7-786432 x^8-131072 x^9\right) \log ^7(2)+\left(65536+524288 x+1835008 x^2+3670016 x^3+4587520 x^4+3670016 x^5+1835008 x^6+524288 x^7+65536 x^8\right) \log ^8(2)} \, dx","Integrate[(-12*x^3 + 60*x^4 - 108*x^5 + 84*x^6 - 24*x^7 + (-144*x^2 + 384*x^3 - 576*x^5 + 336*x^6)*Log[2] + (-576*x + 2304*x^3 - 1728*x^5)*Log[2]^2 + (-768 - 3072*x + 6144*x^3 + 3840*x^4)*Log[2]^3 + (-3072 - 9216*x - 9216*x^2 - 3072*x^3)*Log[2]^4)/(1 - 2*x^4 + 8*x^5 - 12*x^6 + 8*x^7 - x^8 - 8*x^9 + 28*x^10 - 56*x^11 + 70*x^12 - 56*x^13 + 28*x^14 - 8*x^15 + x^16 + (-32*x^3 + 64*x^4 - 64*x^6 + 64*x^7 - 192*x^8 + 448*x^9 - 448*x^10 + 448*x^12 - 448*x^13 + 192*x^14 - 32*x^15)*Log[2] + (-192*x^2 + 384*x^4 + 256*x^6 - 1792*x^7 + 1792*x^8 + 1792*x^9 - 4480*x^10 + 1792*x^11 + 1792*x^12 - 1792*x^13 + 448*x^14)*Log[2]^2 + (-512*x - 1024*x^2 + 1024*x^4 + 4096*x^5 - 7168*x^6 - 7168*x^7 + 21504*x^8 - 21504*x^10 + 7168*x^11 + 7168*x^12 - 3584*x^13)*Log[2]^3 + (-512 - 2048*x - 3072*x^2 - 2048*x^3 + 17408*x^4 - 71680*x^6 + 107520*x^8 - 71680*x^10 + 17920*x^12)*Log[2]^4 + (57344*x^3 + 114688*x^4 - 114688*x^5 - 344064*x^6 + 344064*x^8 + 114688*x^9 - 114688*x^10 - 57344*x^11)*Log[2]^5 + (114688*x^2 + 458752*x^3 + 458752*x^4 - 458752*x^5 - 1146880*x^6 - 458752*x^7 + 458752*x^8 + 458752*x^9 + 114688*x^10)*Log[2]^6 + (131072*x + 786432*x^2 + 1835008*x^3 + 1835008*x^4 - 1835008*x^6 - 1835008*x^7 - 786432*x^8 - 131072*x^9)*Log[2]^7 + (65536 + 524288*x + 1835008*x^2 + 3670016*x^3 + 4587520*x^4 + 3670016*x^5 + 1835008*x^6 + 524288*x^7 + 65536*x^8)*Log[2]^8),x]","\text{Result too large to show}","\frac{3}{\left(x^2-x-4 (x+1) \log (2)\right)^4-1}",1,"Result too large to show","B",0
8827,1,22,24,0.0875345,"\int \frac{e^x \left(11-11 x+5 x^2+8 x^3+\left(-11+11 x-8 x^2\right) \log (4)\right)}{10 x^2} \, dx","Integrate[(E^x*(11 - 11*x + 5*x^2 + 8*x^3 + (-11 + 11*x - 8*x^2)*Log[4]))/(10*x^2),x]","\frac{e^x (8 x-11) (x+1-\log (4))}{10 x}","\frac{e^x \left(4 x-\frac{11}{2}\right) (x+1-\log (4))}{5 x}",1,"(E^x*(-11 + 8*x)*(1 + x - Log[4]))/(10*x)","A",1
8828,1,99,21,0.1578052,"\int \frac{16+48 x+48 x^2+16 x^3+e^4 \left(-16+16 x+72 x^2+56 x^3+16 x^4\right)+e^8 \left(4-20 x+16 x^3+13 x^4+3 x^5\right)+\left(e^4 \left(8+24 x+24 x^2+8 x^3\right)+e^8 \left(-4+4 x+18 x^2+14 x^3+4 x^4\right)\right) \log (4)+e^8 \left(1+3 x+3 x^2+x^3\right) \log ^2(4)}{e^8 \left(1+3 x+3 x^2+x^3\right)} \, dx","Integrate[(16 + 48*x + 48*x^2 + 16*x^3 + E^4*(-16 + 16*x + 72*x^2 + 56*x^3 + 16*x^4) + E^8*(4 - 20*x + 16*x^3 + 13*x^4 + 3*x^5) + (E^4*(8 + 24*x + 24*x^2 + 8*x^3) + E^8*(-4 + 4*x + 18*x^2 + 14*x^3 + 4*x^4))*Log[4] + E^8*(1 + 3*x + 3*x^2 + x^3)*Log[4]^2)/(E^8*(1 + 3*x + 3*x^2 + x^3)),x]","(x+1)^3+\frac{8 (x+1)^2}{e^4}+\frac{16 x}{e^8}+\frac{24}{e^4 (x+1)}-\frac{9}{(x+1)^2}+(x+1) \left(-6+\log ^2(4)+14 \log (4)-4 \log (256)\right)+\frac{1}{2} (x+1)^2 (\log (256)-2)+\frac{8 (x+1) (\log (4)-1)}{e^4}-\frac{3 (-3+2 \log (4)-\log (256))}{x+1}","x \left(x-\frac{3}{x+1}+\frac{4}{e^4}+1+\log (4)\right)^2",1,"(16*x)/E^8 - 9/(1 + x)^2 + 24/(E^4*(1 + x)) + (8*(1 + x)^2)/E^4 + (1 + x)^3 + (8*(1 + x)*(-1 + Log[4]))/E^4 + (1 + x)*(-6 + 14*Log[4] + Log[4]^2 - 4*Log[256]) - (3*(-3 + 2*Log[4] - Log[256]))/(1 + x) + ((1 + x)^2*(-2 + Log[256]))/2","B",1
8829,1,28,29,0.0982603,"\int \frac{\left(-256 x^5+e^{\frac{-1+x-2 x^2+2 \log (5)}{2 x}} \left(2-4 x^2-4 \log (5)\right)\right) \log ^3\left(e^{\frac{-1+x-2 x^2+2 \log (5)}{2 x}}-16 x^4\right)}{e^{\frac{-1+x-2 x^2+2 \log (5)}{2 x}} x^2-16 x^6} \, dx","Integrate[((-256*x^5 + E^((-1 + x - 2*x^2 + 2*Log[5])/(2*x))*(2 - 4*x^2 - 4*Log[5]))*Log[E^((-1 + x - 2*x^2 + 2*Log[5])/(2*x)) - 16*x^4]^3)/(E^((-1 + x - 2*x^2 + 2*Log[5])/(2*x))*x^2 - 16*x^6),x]","\log ^4\left(e^{\frac{-2 x^2+x-1+\log (25)}{2 x}}-16 x^4\right)","\log ^4\left(e^{\frac{x-1+2 \log (5)}{2 x}-x}-16 x^4\right)",1,"Log[E^((-1 + x - 2*x^2 + Log[25])/(2*x)) - 16*x^4]^4","A",1
8830,1,40,27,0.0873726,"\int \frac{-60 x^4-36 x^5+40 x^6+e^6 \left(-12-20 x+8 x^2\right)+e^3 \left(72 x^2+56 x^3-48 x^4\right)+\left(-240 x^4-160 x^5+144 x^6+e^3 \left(144 x^2+128 x^3-80 x^4\right)\right) \log (3-x)+\left(-360 x^4-264 x^5+192 x^6+e^3 \left(72 x^2+72 x^3-32 x^4\right)\right) \log ^2(3-x)+\left(-240 x^4-192 x^5+112 x^6\right) \log ^3(3-x)+\left(-60 x^4-52 x^5+24 x^6\right) \log ^4(3-x)}{-3+x} \, dx","Integrate[(-60*x^4 - 36*x^5 + 40*x^6 + E^6*(-12 - 20*x + 8*x^2) + E^3*(72*x^2 + 56*x^3 - 48*x^4) + (-240*x^4 - 160*x^5 + 144*x^6 + E^3*(144*x^2 + 128*x^3 - 80*x^4))*Log[3 - x] + (-360*x^4 - 264*x^5 + 192*x^6 + E^3*(72*x^2 + 72*x^3 - 32*x^4))*Log[3 - x]^2 + (-240*x^4 - 192*x^5 + 112*x^6)*Log[3 - x]^3 + (-60*x^4 - 52*x^5 + 24*x^6)*Log[3 - x]^4)/(-3 + x),x]","4 x (x+1) \left(x^2+x^2 \log ^2(3-x)+2 x^2 \log (3-x)-e^3\right)^2","4 x (x+1) \left(e^3-x^2 (\log (3-x)+1)^2\right)^2",1,"4*x*(1 + x)*(-E^3 + x^2 + 2*x^2*Log[3 - x] + x^2*Log[3 - x]^2)^2","A",1
8831,1,33,34,0.4503899,"\int \frac{-20 e^3 x-5 e^{3+\frac{-1-e^4 x+x^2}{x}} x+e^{3+\frac{-1-e^4 x+x^2}{x}} \left(5+5 x^2\right) \log \left(\frac{x}{2}\right)+5 x^2 \log ^2\left(\frac{x}{2}\right)}{x^2 \log ^2\left(\frac{x}{2}\right)} \, dx","Integrate[(-20*E^3*x - 5*E^(3 + (-1 - E^4*x + x^2)/x)*x + E^(3 + (-1 - E^4*x + x^2)/x)*(5 + 5*x^2)*Log[x/2] + 5*x^2*Log[x/2]^2)/(x^2*Log[x/2]^2),x]","5 x+\frac{5 e^3 \left(e^{x-\frac{1}{x}-e^4}+4\right)}{\log \left(\frac{x}{2}\right)}","5 \left(x+\frac{e^3 \left(e^{x-\frac{e^4 x+1}{x}}+4\right)}{\log \left(\frac{x}{2}\right)}\right)",1,"5*x + (5*E^3*(4 + E^(-E^4 - x^(-1) + x)))/Log[x/2]","A",1
8832,1,22,24,0.0041798,"\int \frac{-e^3 x+2 x^2-12 \log (5)-72 \log (x)}{x} \, dx","Integrate[(-(E^3*x) + 2*x^2 - 12*Log[5] - 72*Log[x])/x,x]","x^2-e^3 x-36 \log ^2(x)-12 \log (5) \log (x)","x^2-e^3 x-(6 \log (x)+\log (5))^2+\frac{23}{3}",1,"-(E^3*x) + x^2 - 12*Log[5]*Log[x] - 36*Log[x]^2","A",1
8833,1,23,28,0.0661673,"\int \frac{-50+50 x-50 x^2-50 x^3+6 x^4-18 x^5+18 x^6-6 x^7+\left(-50 x-18 x^3+36 x^4-18 x^5\right) \log (x)+\left(18 x^2-18 x^3\right) \log ^2(x)-6 x \log ^3(x)}{e^{2+2 x} \left(-x^4+3 x^5-3 x^6+x^7\right)+e^{2+2 x} \left(3 x^3-6 x^4+3 x^5\right) \log (x)+e^{2+2 x} \left(-3 x^2+3 x^3\right) \log ^2(x)+e^{2+2 x} x \log ^3(x)} \, dx","Integrate[(-50 + 50*x - 50*x^2 - 50*x^3 + 6*x^4 - 18*x^5 + 18*x^6 - 6*x^7 + (-50*x - 18*x^3 + 36*x^4 - 18*x^5)*Log[x] + (18*x^2 - 18*x^3)*Log[x]^2 - 6*x*Log[x]^3)/(E^(2 + 2*x)*(-x^4 + 3*x^5 - 3*x^6 + x^7) + E^(2 + 2*x)*(3*x^3 - 6*x^4 + 3*x^5)*Log[x] + E^(2 + 2*x)*(-3*x^2 + 3*x^3)*Log[x]^2 + E^(2 + 2*x)*x*Log[x]^3),x]","-e^{-2 (x+1)} \left(-\frac{25}{((x-1) x+\log (x))^2}-3\right)","e^{-2 x-2} \left(\frac{25}{(-((2-x) x)+x+\log (x))^2}+3\right)+5",1,"-((-3 - 25/((-1 + x)*x + Log[x])^2)/E^(2*(1 + x)))","A",1
8834,1,29,26,0.0657081,"\int \frac{e^{-4-e^{75}} \left(1+\left(-1-2 e^{4+e^{75}} x\right) \log (x)\right)}{x \log (x)} \, dx","Integrate[(E^(-4 - E^75)*(1 + (-1 - 2*E^(4 + E^75)*x)*Log[x]))/(x*Log[x]),x]","-e^{-4-e^{75}} \left(2 e^{4+e^{75}} x+\log (x)-\log (\log (x))\right)","-2 x-e^{-4-e^{75}} \log \left(\frac{x}{\log (x)}\right)+e^5+3",1,"-(E^(-4 - E^75)*(2*E^(4 + E^75)*x + Log[x] - Log[Log[x]]))","A",1
8835,1,15,17,0.0399236,"\int \frac{-2+2 e^{25 e^2}+2 \log (x)}{e^{50 e^2}+2 e^{25 e^2} \log (x)+\log ^2(x)} \, dx","Integrate[(-2 + 2*E^(25*E^2) + 2*Log[x])/(E^(50*E^2) + 2*E^(25*E^2)*Log[x] + Log[x]^2),x]","\frac{2 x}{\log (x)+e^{25 e^2}}","\frac{2 x}{\log (x)+e^{25 e^2}}-1",1,"(2*x)/(E^(25*E^2) + Log[x])","A",1
8836,1,91,32,0.1580875,"\int \frac{-800 x+80 e^{2 x} x-2 e^{4 x} x+\left(-800+80 e^{2 x}-800 x^2+e^{4 x} \left(-2+2 x^2\right)\right) \log (x)+\left(800+1600 x+2400 x^2+e^{2 x} \left(-80-320 x-400 x^2-160 x^3\right)+e^{4 x} \left(2+12 x+14 x^2+8 x^3\right)\right) \log ^2(x)+\left(675+2400 x+2400 x^2+1600 x^3+e^{2 x} \left(-160-400 x-480 x^2-320 x^3-80 x^4\right)+e^{4 x} \left(6+14 x+18 x^2+12 x^3+4 x^4\right)\right) \log ^3(x)}{25 \log ^3(x)} \, dx","Integrate[(-800*x + 80*E^(2*x)*x - 2*E^(4*x)*x + (-800 + 80*E^(2*x) - 800*x^2 + E^(4*x)*(-2 + 2*x^2))*Log[x] + (800 + 1600*x + 2400*x^2 + E^(2*x)*(-80 - 320*x - 400*x^2 - 160*x^3) + E^(4*x)*(2 + 12*x + 14*x^2 + 8*x^3))*Log[x]^2 + (675 + 2400*x + 2400*x^2 + 1600*x^3 + E^(2*x)*(-160 - 400*x - 480*x^2 - 320*x^3 - 80*x^4) + E^(4*x)*(6 + 14*x + 18*x^2 + 12*x^3 + 4*x^4))*Log[x]^3)/(25*Log[x]^3),x]","\frac{1}{25} \left(400 x^4+800 x^3+1200 x^2-40 e^{2 x} \left(x^2+x+1\right)^2+e^{4 x} \left(x^2+x+1\right)^2+\frac{\left(e^{2 x}-20\right)^2 x^2}{\log ^2(x)}+\frac{2 \left(e^{2 x}-20\right)^2 \left(x^2+x+1\right) x}{\log (x)}+675 x\right)","\left(\frac{e^{2 x}}{5}-4\right)^2 \left(x^2+x+\frac{x}{\log (x)}+1\right)^2-5 x",1,"(675*x + 1200*x^2 + 800*x^3 + 400*x^4 - 40*E^(2*x)*(1 + x + x^2)^2 + E^(4*x)*(1 + x + x^2)^2 + ((-20 + E^(2*x))^2*x^2)/Log[x]^2 + (2*(-20 + E^(2*x))^2*x*(1 + x + x^2))/Log[x])/25","B",1
8837,1,27,18,0.0053385,"\int \frac{1}{9} \left(7-90 x^2-180 x^3+\left(-90 x-270 x^2\right) \log (x)-90 x \log ^2(x)\right) \, dx","Integrate[(7 - 90*x^2 - 180*x^3 + (-90*x - 270*x^2)*Log[x] - 90*x*Log[x]^2)/9,x]","-5 x^4-10 x^3 \log (x)-5 x^2 \log ^2(x)+\frac{7 x}{9}","-5 x^2 (x+\log (x))^2+\frac{7 x}{9}-6",1,"(7*x)/9 - 5*x^4 - 10*x^3*Log[x] - 5*x^2*Log[x]^2","A",1
8838,1,22,12,0.0320607,"\int \frac{30-52 x+(-6+13 x) \log \left(\frac{1}{2} (6-13 x)\right)}{-6+13 x} \, dx","Integrate[(30 - 52*x + (-6 + 13*x)*Log[(6 - 13*x)/2])/(-6 + 13*x),x]","x \log (6-13 x)-x (5+\log (2))+\frac{6 \log (2)}{13}","x \left(\log \left(3-\frac{13 x}{2}\right)-5\right)",1,"(6*Log[2])/13 - x*(5 + Log[2]) + x*Log[6 - 13*x]","A",1
8839,1,15,20,0.1393245,"\int \frac{e^{-\frac{e^x (-14-7 x)-2 x}{x}+x} \left(-14+14 x+7 x^2\right)}{x^2} \, dx","Integrate[(E^(-((E^x*(-14 - 7*x) - 2*x)/x) + x)*(-14 + 14*x + 7*x^2))/x^2,x]","e^{\frac{7 e^x (x+2)}{x}+2}","e^{\left(\frac{7 e^x}{x}+1\right) (x+2)-x}",1,"E^(2 + (7*E^x*(2 + x))/x)","A",1
8840,1,63,23,0.0871498,"\int \frac{\left(-19 x-12 x^2+12 x^3+4 x^4\right) \log (x)+\left(-20+8 x+4 x^2\right) \log ^2(x)+\left(4 x+4 x^2\right) \log ^3(x)+4 \log ^4(x)+\left(-80+32 x+16 x^2+16 \log ^2(x)\right) \log \left(\log ^4(x)\right)+\left(\left(4 x+4 x^2\right) \log (x)+4 \log ^2(x)\right) \log ^2\left(\log ^4(x)\right)+16 \log ^3\left(\log ^4(x)\right)}{x \log (x)} \, dx","Integrate[((-19*x - 12*x^2 + 12*x^3 + 4*x^4)*Log[x] + (-20 + 8*x + 4*x^2)*Log[x]^2 + (4*x + 4*x^2)*Log[x]^3 + 4*Log[x]^4 + (-80 + 32*x + 16*x^2 + 16*Log[x]^2)*Log[Log[x]^4] + ((4*x + 4*x^2)*Log[x] + 4*Log[x]^2)*Log[Log[x]^4]^2 + 16*Log[Log[x]^4]^3)/(x*Log[x]),x]","x^4+4 x^3-6 x^2+2 \left(x^2+2 x-5\right) \log ^2(x)+2 \left(x^2+2 x+\log ^2(x)-5\right) \log ^2\left(\log ^4(x)\right)-19 x+\log ^4(x)+\log ^4\left(\log ^4(x)\right)","\left(x^2+2 x+\log ^2(x)+\log ^2\left(\log ^4(x)\right)-5\right)^2+x",1,"-19*x - 6*x^2 + 4*x^3 + x^4 + 2*(-5 + 2*x + x^2)*Log[x]^2 + Log[x]^4 + 2*(-5 + 2*x + x^2 + Log[x]^2)*Log[Log[x]^4]^2 + Log[Log[x]^4]^4","B",1
8841,1,38,28,0.0919725,"\int \frac{48-84 x+32 x^2-60 x^3+e^x \left(9 x-11 x^2+4 x^3+15 x^5\right)}{x^5} \, dx","Integrate[(48 - 84*x + 32*x^2 - 60*x^3 + E^x*(9*x - 11*x^2 + 4*x^3 + 15*x^5))/x^5,x]","\frac{15 e^x x^4+60 x^3+4 \left(e^x-4\right) x^2+\left(28-3 e^x\right) x-12}{x^4}","5 \left(3-\frac{\frac{3}{x}-4}{5 x^2}\right) \left(e^x+\frac{4}{x}-4\right)",1,"(-12 + (28 - 3*E^x)*x + 4*(-4 + E^x)*x^2 + 60*x^3 + 15*E^x*x^4)/x^4","A",1
8842,1,16,18,0.003976,"\int \frac{-1-2 \log \left(\frac{1}{81+x}\right)}{81+x} \, dx","Integrate[(-1 - 2*Log[(81 + x)^(-1)])/(81 + x),x]","\frac{1}{4} \left(2 \log \left(\frac{1}{x+81}\right)+1\right)^2","\left(\log \left(\frac{x}{x^2+81 x}\right)+\frac{1}{2}\right)^2",1,"(1 + 2*Log[(81 + x)^(-1)])^2/4","A",1
8843,1,33,35,0.2035983,"\int e^{-x} \left(4-e^x-x-4 x^5+\left(2 x-x^2\right) \log \left(\frac{e^{\frac{-4-2 x+e^3 x-x^5}{x}}}{x}\right)\right) \, dx","Integrate[(4 - E^x - x - 4*x^5 + (2*x - x^2)*Log[E^((-4 - 2*x + E^3*x - x^5)/x)/x])/E^x,x]","x \left(e^{-x} x \log \left(\frac{e^{-x^4-\frac{4}{x}+e^3-2}}{x}\right)-1\right)","e^{-x} x^2 \log \left(\frac{e^{-x^4-\frac{4}{x}+e^3-2}}{x}\right)-x",1,"x*(-1 + (x*Log[E^(-2 + E^3 - 4/x - x^4)/x])/E^x)","A",1
8844,1,20,20,0.0823491,"\int \frac{2+8 x+8 x^2+\left(-2-8 x-8 x^2\right) \log (x)+4 x \log ^2(x)}{x \log ^3(x)} \, dx","Integrate[(2 + 8*x + 8*x^2 + (-2 - 8*x - 8*x^2)*Log[x] + 4*x*Log[x]^2)/(x*Log[x]^3),x]","-\frac{(2 x+1) (2 x-2 \log (x)+1)}{\log ^2(x)}","\log (2)-\left(1-\frac{2 x+1}{\log (x)}\right)^2",1,"-(((1 + 2*x)*(1 + 2*x - 2*Log[x]))/Log[x]^2)","A",1
8845,1,16,17,0.2675487,"\int \frac{1764 x+e^x \left(3+588 x-3 x^2\right)+\left(-9 x-3 e^x x\right) \log (x)}{e^{2 x} x+6 e^x x^2+9 x^3} \, dx","Integrate[(1764*x + E^x*(3 + 588*x - 3*x^2) + (-9*x - 3*E^x*x)*Log[x])/(E^(2*x)*x + 6*E^x*x^2 + 9*x^3),x]","\frac{3 (x+\log (x)-195)}{3 x+e^x}","\frac{x+\log (x)-195}{x+\frac{e^x}{3}}",1,"(3*(-195 + x + Log[x]))/(E^x + 3*x)","A",1
8846,1,10,19,0.0058838,"\int \frac{-2-e^x x}{x} \, dx","Integrate[(-2 - E^x*x)/x,x]","-e^x-2 \log (x)","-\log \left(\frac{x^2}{e^6}\right)-e^x+9+\log (3)",1,"-E^x - 2*Log[x]","A",1
8847,1,21,27,0.359965,"\int \frac{\exp \left(\frac{44+e (-16-8 x)+38 x+13 x^2+(8+4 x) \log (x)}{8+4 x}\right) \left(16+48 x+56 x^2+13 x^3\right)}{16 x+16 x^2+4 x^3} \, dx","Integrate[(E^((44 + E*(-16 - 8*x) + 38*x + 13*x^2 + (8 + 4*x)*Log[x])/(8 + 4*x))*(16 + 48*x + 56*x^2 + 13*x^3))/(16*x + 16*x^2 + 4*x^3),x]","e^{\frac{13 x}{4}+\frac{5}{x+2}-2 e+3} x","e^{-2 (e-x)+\frac{5 x}{4}+\frac{5}{x+2}+3} x-4",1,"E^(3 - 2*E + (13*x)/4 + 5/(2 + x))*x","A",1
8848,1,24,23,0.0113464,"\int \frac{e^{3/x} (-3+x)-x-e^4 x-8 x^2}{x} \, dx","Integrate[(E^(3/x)*(-3 + x) - x - E^4*x - 8*x^2)/x,x]","-4 x^2+e^{3/x} x-e^4 x-x","\left(-4 x+e^{3/x}-e^4\right) x-x+2",1,"-x - E^4*x + E^(3/x)*x - 4*x^2","A",1
8849,1,28,22,0.1204311,"\int \frac{1}{625} \left(40 e^{10 x}+e^{-e^x+11 x} \left(44-4 e^x\right)+e^{-2 e^x+12 x} \left(12-2 e^x\right)\right) \, dx","Integrate[(40*E^(10*x) + E^(-E^x + 11*x)*(44 - 4*E^x) + E^(-2*E^x + 12*x)*(12 - 2*E^x))/625,x]","\frac{1}{625} e^{10 x-2 e^x} \left(2 e^{e^x}+e^x\right)^2","\frac{1}{625} e^{10 x} \left(e^{x-e^x}+2\right)^2",1,"(E^(-2*E^x + 10*x)*(2*E^E^x + E^x)^2)/625","A",1
8850,1,51,25,0.157565,"\int \frac{\exp \left(x-16 e^{2+2 e^3} x^2-32 e^{2+2 e^3} x \log (3 x)-16 e^{2+2 e^3} \log ^2(3 x)\right) \left(x+e^{2+2 e^3} \left(-32 x-32 x^2\right)+e^{2+2 e^3} (-32-32 x) \log (3 x)\right)}{x} \, dx","Integrate[(E^(x - 16*E^(2 + 2*E^3)*x^2 - 32*E^(2 + 2*E^3)*x*Log[3*x] - 16*E^(2 + 2*E^3)*Log[3*x]^2)*(x + E^(2 + 2*E^3)*(-32*x - 32*x^2) + E^(2 + 2*E^3)*(-32 - 32*x)*Log[3*x]))/x,x]","\exp \left(-16 e^{2+2 e^3} x^2+x-16 e^{2+2 e^3} \log ^2(3 x)-32 e^{2+2 e^3} x \log (3 x)\right)","e^{x-16 e^{2+2 e^3} (x+\log (3 x))^2}+16",1,"E^(x - 16*E^(2 + 2*E^3)*x^2 - 32*E^(2 + 2*E^3)*x*Log[3*x] - 16*E^(2 + 2*E^3)*Log[3*x]^2)","B",1
8851,1,13,23,0.0051035,"\int \frac{-x-e^{5+e^5 x} x}{x} \, dx","Integrate[(-x - E^(5 + E^5*x)*x)/x,x]","-x-e^{e^5 x}","-x-e^{e^5 x}-\left(4+e^2\right)^2+3",1,"-E^(E^5*x) - x","A",1
8852,1,30,32,4.1055494,"\int \frac{\exp \left(-e^x x^2+\frac{e^{-e^x x^2} \left(4 e^{x+e^x x^2}+x^2\right)}{4 x}\right) \left(5 x^2+e^x \left(-10 x^4-5 x^5\right)+e^{e^x x^2} \left(-20 x+e^x (-20+20 x)\right)\right)}{4 x^3} \, dx","Integrate[(E^(-(E^x*x^2) + (4*E^(x + E^x*x^2) + x^2)/(4*E^(E^x*x^2)*x))*(5*x^2 + E^x*(-10*x^4 - 5*x^5) + E^(E^x*x^2)*(-20*x + E^x*(-20 + 20*x))))/(4*x^3),x]","\frac{5 e^{\frac{1}{4} e^{-e^x x^2} x+\frac{e^x}{x}}}{x}","\frac{5 e^{\frac{\frac{1}{4} e^{-e^x x^2} x^2+e^x}{x}}}{x}",1,"(5*E^(E^x/x + x/(4*E^(E^x*x^2))))/x","A",1
8853,1,6,6,0.0000691,"\int 2 e^{10} \, dx","Integrate[2*E^10,x]","2 e^{10} x","2 e^{10} x",1,"2*E^10*x","A",1
8854,1,37,28,0.293872,"\int \left(3+e^{e^{e^{e^{2 e} x^4+2 e^e x^5+x^6}}+x} \left(-2 e^x+\exp \left(e^{e^{2 e} x^4+2 e^e x^5+x^6}+e^{2 e} x^4+2 e^e x^5+x^6\right) \left(-4 e^{2 e+x} x^3-10 e^{e+x} x^4-6 e^x x^5\right)\right)\right) \, dx","Integrate[3 + E^(E^E^(E^(2*E)*x^4 + 2*E^E*x^5 + x^6) + x)*(-2*E^x + E^(E^(E^(2*E)*x^4 + 2*E^E*x^5 + x^6) + E^(2*E)*x^4 + 2*E^E*x^5 + x^6)*(-4*E^(2*E + x)*x^3 - 10*E^(E + x)*x^4 - 6*E^x*x^5)),x]","3 x-e^{e^{e^{x^6+2 e^e x^5+e^{2 e} x^4}}+2 x}","-e^{e^{e^{x^4 \left(x+e^e\right)^2}}+2 x}+3 x+3",1,"-E^(E^E^(E^(2*E)*x^4 + 2*E^E*x^5 + x^6) + 2*x) + 3*x","A",1
8855,1,13,13,0.0018657,"\int \frac{-2 x-2 \log ^4(2)}{\log ^4(2)} \, dx","Integrate[(-2*x - 2*Log[2]^4)/Log[2]^4,x]","-\frac{x^2}{\log ^4(2)}-2 x","-\frac{x^2}{\log ^4(2)}-2 x",1,"-2*x - x^2/Log[2]^4","A",1
8856,1,67,37,0.1792262,"\int \frac{617025600-524471760 x-623591460 x^2+611580105 x^3-211803255 x^4+37236375 x^5-3533625 x^6+172125 x^7-3375 x^8+e^{3 x} \left(125-75 x-125 x^2+75 x^3-15 x^4+x^5\right)+e^{2 x} \left(63900-47565 x-63225 x^2+46065 x^3-11475 x^4+1215 x^5-45 x^6\right)+e^x \left(10879920-8987112 x-10753785 x^2+9244827 x^3-2756547 x^4+390825 x^5-26325 x^6+675 x^7\right)}{-729000000 x^2+619650000 x^3-212017500 x^4+37236375 x^5-3533625 x^6+172125 x^7-3375 x^8+e^{3 x} \left(-125 x^2+75 x^3-15 x^4+x^5\right)+e^{2 x} \left(-67500 x^2+46125 x^3-11475 x^4+1215 x^5-45 x^6\right)+e^x \left(-12150000 x^2+9315000 x^3-2757375 x^4+390825 x^5-26325 x^6+675 x^7\right)} \, dx","Integrate[(617025600 - 524471760*x - 623591460*x^2 + 611580105*x^3 - 211803255*x^4 + 37236375*x^5 - 3533625*x^6 + 172125*x^7 - 3375*x^8 + E^(3*x)*(125 - 75*x - 125*x^2 + 75*x^3 - 15*x^4 + x^5) + E^(2*x)*(63900 - 47565*x - 63225*x^2 + 46065*x^3 - 11475*x^4 + 1215*x^5 - 45*x^6) + E^x*(10879920 - 8987112*x - 10753785*x^2 + 9244827*x^3 - 2756547*x^4 + 390825*x^5 - 26325*x^6 + 675*x^7))/(-729000000*x^2 + 619650000*x^3 - 212017500*x^4 + 37236375*x^5 - 3533625*x^6 + 172125*x^7 - 3375*x^8 + E^(3*x)*(-125*x^2 + 75*x^3 - 15*x^4 + x^5) + E^(2*x)*(-67500*x^2 + 46125*x^3 - 11475*x^4 + 1215*x^5 - 45*x^6) + E^x*(-12150000*x^2 + 9315000*x^3 - 2757375*x^4 + 390825*x^5 - 26325*x^6 + 675*x^7)),x]","\frac{36 (x-12)^2}{\left(-15 x+e^x+180\right)^2 (x-5)^2 x}+\frac{60 (x-12)}{\left(-15 x+e^x+180\right) (x-5)^2 x}+x+\frac{1}{5-x}+\frac{1}{x}+\frac{5}{(x-5)^2}","\frac{x^2+\frac{\left(\frac{2}{\frac{e^x}{3 (x-12)}-5}+5\right)^2}{(x-5)^2}+x}{x}",1,"(5 - x)^(-1) + 5/(-5 + x)^2 + x^(-1) + (60*(-12 + x))/((180 + E^x - 15*x)*(-5 + x)^2*x) + (36*(-12 + x)^2)/((180 + E^x - 15*x)^2*(-5 + x)^2*x) + x","A",1
8857,1,12,13,0.0180031,"\int \left(14+e^{-2 x+x^2} \left(-1+2 x-2 x^2\right)\right) \, dx","Integrate[14 + E^(-2*x + x^2)*(-1 + 2*x - 2*x^2),x]","-\left(\left(e^{(x-2) x}-14\right) x\right)","\left(14-e^{(x-2) x}\right) x",1,"-((-14 + E^((-2 + x)*x))*x)","A",1
8858,1,19,19,0.0606686,"\int \frac{e^{\frac{e^{\frac{2}{x^2}} x+x^2+\log \left(\frac{5}{3}\right)}{x}} \left(-4 e^{\frac{2}{x^2}}+x^3-x \log \left(\frac{5}{3}\right)\right)}{x^3} \, dx","Integrate[(E^((E^(2/x^2)*x + x^2 + Log[5/3])/x)*(-4*E^(2/x^2) + x^3 - x*Log[5/3]))/x^3,x]","\left(\frac{5}{3}\right)^{\frac{1}{x}} e^{e^{\frac{2}{x^2}}+x}","e^{e^{\frac{2}{x^2}}+x+\frac{\log \left(\frac{5}{3}\right)}{x}}",1,"(5/3)^x^(-1)*E^(E^(2/x^2) + x)","A",1
8859,1,15,18,0.2147416,"\int \frac{2-2 x+(1-x) \log (x)+(25+x+x \log (x)) \log (25+x+x \log (x))}{25-49 x+23 x^2+x^3+\left(x-2 x^2+x^3\right) \log (x)} \, dx","Integrate[(2 - 2*x + (1 - x)*Log[x] + (25 + x + x*Log[x])*Log[25 + x + x*Log[x]])/(25 - 49*x + 23*x^2 + x^3 + (x - 2*x^2 + x^3)*Log[x]),x]","-\frac{\log (x+x \log (x)+25)}{x-1}","\frac{\log (x+x \log (x)+25)}{1-x}-5",1,"-(Log[25 + x + x*Log[x]]/(-1 + x))","A",1
8860,1,19,22,0.3352815,"\int \frac{e^{-x} \left(-3+3 x-19 x^2-10 x^3\right)}{9-54 x+21 x^2+180 x^3+100 x^4} \, dx","Integrate[(-3 + 3*x - 19*x^2 - 10*x^3)/(E^x*(9 - 54*x + 21*x^2 + 180*x^3 + 100*x^4)),x]","\frac{e^{-x} x}{10 x^2+9 x-3}","\frac{e^{-x} x}{x^2-9 (-x-1) x-3}",1,"x/(E^x*(-3 + 9*x + 10*x^2))","A",1
8861,1,25,26,0.2968,"\int \frac{-256 e^{8+2 x^2}-656 x^3-1681 x^4+e^{4+x^2} \left(-256 x+1312 x^2+512 x^3\right)}{256 e^{8+2 x^2} x-1312 e^{4+x^2} x^3+1681 x^5} \, dx","Integrate[(-256*E^(8 + 2*x^2) - 656*x^3 - 1681*x^4 + E^(4 + x^2)*(-256*x + 1312*x^2 + 512*x^3))/(256*E^(8 + 2*x^2)*x - 1312*E^(4 + x^2)*x^3 + 1681*x^5),x]","-\frac{16 x}{16 e^{x^2+4}-41 x^2}-\log (x)","\frac{x}{\frac{41 x^2}{16}-e^{x^2+4}}-\log (x)",1,"(-16*x)/(16*E^(4 + x^2) - 41*x^2) - Log[x]","A",1
8862,1,23,22,0.0187539,"\int \frac{192+88 x+9 x^2+e \left(-96-48 x-6 x^2\right)}{128 x^4+64 x^5+8 x^6} \, dx","Integrate[(192 + 88*x + 9*x^2 + E*(-96 - 48*x - 6*x^2))/(128*x^4 + 64*x^5 + 8*x^6),x]","\frac{-3 x+2 e (x+4)-16}{8 x^3 (x+4)}","\frac{\frac{x}{2 (x+4)}+e-2}{4 x^3}+1",1,"(-16 - 3*x + 2*E*(4 + x))/(8*x^3*(4 + x))","A",1
8863,1,112,25,0.2873339,"\int \left(2 x^2-4 x \log (2)+2 \log ^2(2)+\left(3 x^2-4 x \log (2)+\log ^2(2)\right) \log \left(\frac{x^2}{\log ^4(3)}\right)+(-12 x+12 \log (2)) \log \left(x^3\right) \log \left(\frac{x^2}{\log ^4(3)}\right)+12 \log ^3\left(x^3\right) \log \left(\frac{x^2}{\log ^4(3)}\right)+\log ^4\left(x^3\right) \left(2+\log \left(\frac{x^2}{\log ^4(3)}\right)\right)+\log ^2\left(x^3\right) \left(-4 x+4 \log (2)+(-4 x+2 \log (2)) \log \left(\frac{x^2}{\log ^4(3)}\right)\right)\right) \, dx","Integrate[2*x^2 - 4*x*Log[2] + 2*Log[2]^2 + (3*x^2 - 4*x*Log[2] + Log[2]^2)*Log[x^2/Log[3]^4] + (-12*x + 12*Log[2])*Log[x^3]*Log[x^2/Log[3]^4] + 12*Log[x^3]^3*Log[x^2/Log[3]^4] + Log[x^3]^4*(2 + Log[x^2/Log[3]^4]) + Log[x^3]^2*(-4*x + 4*Log[2] + (-4*x + 2*Log[2])*Log[x^2/Log[3]^4]),x]","\frac{1}{2} x \left(-8 \log (\log (3)) \log ^4\left(x^3\right)+\log (\log (3)) (16 x-\log (65536)) \log ^2\left(x^3\right)-8 x^2 \log (\log (3))+\log \left(x^2\right) \left(2 \log ^4\left(x^3\right)+(\log (16)-4 x) \log ^2\left(x^3\right)+2 x^2-x \log (16)+2 \log ^2(2)\right)+x \log (65536) \log (\log (3))-8 \log ^2(2) \log (\log (3))+\log ^2(4)-4 \log ^2(2)\right)","x \left(\log ^2\left(x^3\right)-x+\log (2)\right)^2 \log \left(\frac{x^2}{\log ^4(3)}\right)",1,"(x*(-4*Log[2]^2 + Log[4]^2 + Log[x^2]*(2*x^2 + 2*Log[2]^2 - x*Log[16] + (-4*x + Log[16])*Log[x^3]^2 + 2*Log[x^3]^4) - 8*x^2*Log[Log[3]] - 8*Log[2]^2*Log[Log[3]] + x*Log[65536]*Log[Log[3]] + (16*x - Log[65536])*Log[x^3]^2*Log[Log[3]] - 8*Log[x^3]^4*Log[Log[3]]))/2","B",1
8864,1,30,29,1.2503769,"\int \left(5 e^x+\exp \left(e^{-x^2-x^3+e^{2 x} (1+x)}-x^2-x^3+e^{2 x} (1+x)\right) \left(-2 x-3 x^2+e^{2 x} (3+2 x)\right)\right) \, dx","Integrate[5*E^x + E^(E^(-x^2 - x^3 + E^(2*x)*(1 + x)) - x^2 - x^3 + E^(2*x)*(1 + x))*(-2*x - 3*x^2 + E^(2*x)*(3 + 2*x)),x]","e^{e^{-x^3-x^2+e^{2 x} (x+1)}}+5 e^x","e^{e^{\left(\frac{e^{2 x}}{x}-x\right) \left(x^2+x\right)}}+5 e^x",1,"E^E^(-x^2 - x^3 + E^(2*x)*(1 + x)) + 5*E^x","A",1
8865,1,20,26,0.387007,"\int e^{2 x+2 x^2+x^3+x \log \left(\frac{x^2}{e^3}\right)} \left(4+4 x+3 x^2+\log \left(\frac{x^2}{e^3}\right)\right) \, dx","Integrate[E^(2*x + 2*x^2 + x^3 + x*Log[x^2/E^3])*(4 + 4*x + 3*x^2 + Log[x^2/E^3]),x]","e^{x^3+2 x^2-x} \left(x^2\right)^x","e^{x \left(\frac{\left(x^2+x\right)^2}{x^2}+\log \left(\frac{x^2}{e^3}\right)\right)+x}",1,"E^(-x + 2*x^2 + x^3)*(x^2)^x","A",1
8866,0,0,30,0.5175788,"\int \frac{-9+288 x^2+\left(6-192 x^2\right) \log (x)+\left(-1+32 x^2\right) \log ^2(x)+e^{\frac{-15-3 \log (5)+5 \log (x)}{-3+\log (x)}} \left(-144 x^2-24 x^2 \log (5)+96 x^2 \log (x)-16 x^2 \log ^2(x)\right)+e^{\frac{2 (-15-3 \log (5)+5 \log (x))}{-3+\log (x)}} \left(18 x^2+6 x^2 \log (5)-12 x^2 \log (x)+2 x^2 \log ^2(x)\right)}{9 x-6 x \log (x)+x \log ^2(x)} \, dx","Integrate[(-9 + 288*x^2 + (6 - 192*x^2)*Log[x] + (-1 + 32*x^2)*Log[x]^2 + E^((-15 - 3*Log[5] + 5*Log[x])/(-3 + Log[x]))*(-144*x^2 - 24*x^2*Log[5] + 96*x^2*Log[x] - 16*x^2*Log[x]^2) + E^((2*(-15 - 3*Log[5] + 5*Log[x]))/(-3 + Log[x]))*(18*x^2 + 6*x^2*Log[5] - 12*x^2*Log[x] + 2*x^2*Log[x]^2))/(9*x - 6*x*Log[x] + x*Log[x]^2),x]","\int \frac{-9+288 x^2+\left(6-192 x^2\right) \log (x)+\left(-1+32 x^2\right) \log ^2(x)+e^{\frac{-15-3 \log (5)+5 \log (x)}{-3+\log (x)}} \left(-144 x^2-24 x^2 \log (5)+96 x^2 \log (x)-16 x^2 \log ^2(x)\right)+e^{\frac{2 (-15-3 \log (5)+5 \log (x))}{-3+\log (x)}} \left(18 x^2+6 x^2 \log (5)-12 x^2 \log (x)+2 x^2 \log ^2(x)\right)}{9 x-6 x \log (x)+x \log ^2(x)} \, dx","\left(x e^{\frac{3 \log (5)}{3-\log (x)}+5}-4 x\right)^2-\log (x)+7",1,"Integrate[(-9 + 288*x^2 + (6 - 192*x^2)*Log[x] + (-1 + 32*x^2)*Log[x]^2 + E^((-15 - 3*Log[5] + 5*Log[x])/(-3 + Log[x]))*(-144*x^2 - 24*x^2*Log[5] + 96*x^2*Log[x] - 16*x^2*Log[x]^2) + E^((2*(-15 - 3*Log[5] + 5*Log[x]))/(-3 + Log[x]))*(18*x^2 + 6*x^2*Log[5] - 12*x^2*Log[x] + 2*x^2*Log[x]^2))/(9*x - 6*x*Log[x] + x*Log[x]^2), x]","F",-1
8867,1,45,30,0.1485038,"\int \frac{31+e^{x^2} \left(-25+6 x+50 x^2\right)+\left(2+2 e^{x^2} x\right) \log \left(\frac{e}{2}\right)}{9+150 x+625 x^2+(6+50 x) \log \left(\frac{e}{2}\right)+\log ^2\left(\frac{e}{2}\right)} \, dx","Integrate[(31 + E^x^2*(-25 + 6*x + 50*x^2) + (2 + 2*E^x^2*x)*Log[E/2])/(9 + 150*x + 625*x^2 + (6 + 50*x)*Log[E/2] + Log[E/2]^2),x]","\frac{25 e^{x^2} (50 x+8-\log (4))+2 (\log (4)-33) (25 x+4-\log (2))}{50 (-25 x-4+\log (2))^2}","\frac{e^{x^2}+2 x-1}{x \left(\frac{3+\log \left(\frac{e}{2}\right)}{x}+25\right)}",1,"(25*E^x^2*(8 + 50*x - Log[4]) + 2*(4 + 25*x - Log[2])*(-33 + Log[4]))/(50*(-4 - 25*x + Log[2])^2)","A",1
8868,1,19,19,0.3391273,"\int \frac{4 e^{5 x}+e^{24 x}+\left(4 e^{5 x} x+e^{24 x} x\right) \log (x)+\left(e^{24 x} \left(-95 x+19 x^2\right) \log (x)+19 e^{24 x} x \log (x) \log (\log (x))\right) \log (5-x-\log (\log (x)))}{e^{5 x} \left(-5 x+x^2\right) \log (x)+e^{5 x} x \log (x) \log (\log (x))} \, dx","Integrate[(4*E^(5*x) + E^(24*x) + (4*E^(5*x)*x + E^(24*x)*x)*Log[x] + (E^(24*x)*(-95*x + 19*x^2)*Log[x] + 19*E^(24*x)*x*Log[x]*Log[Log[x]])*Log[5 - x - Log[Log[x]]])/(E^(5*x)*(-5*x + x^2)*Log[x] + E^(5*x)*x*Log[x]*Log[Log[x]]),x]","\left(e^{19 x}+4\right) \log (-x-\log (\log (x))+5)","\left(e^{19 x}+4\right) \log (-x-\log (\log (x))+5)",1,"(4 + E^(19*x))*Log[5 - x - Log[Log[x]]]","A",1
8869,1,25,22,1.4712457,"\int \frac{e^{\frac{1}{-400 x^5+\left(2000 x^4+400 x^5\right) \log (x)}} (-5+4 x+(-20-5 x) \log (x))}{200 x^7+\left(-2000 x^6-400 x^7\right) \log (x)+\left(5000 x^5+2000 x^6+200 x^7\right) \log ^2(x)} \, dx","Integrate[(E^(-400*x^5 + (2000*x^4 + 400*x^5)*Log[x])^(-1)*(-5 + 4*x + (-20 - 5*x)*Log[x]))/(200*x^7 + (-2000*x^6 - 400*x^7)*Log[x] + (5000*x^5 + 2000*x^6 + 200*x^7)*Log[x]^2),x]","2 e^{\frac{1}{400 x^4 (-x+x \log (x)+5 \log (x))}}","2 e^{-\frac{1}{400 x^4 (x-(x+5) \log (x))}}",1,"2*E^(1/(400*x^4*(-x + 5*Log[x] + x*Log[x])))","A",1
8870,1,16,16,0.0099518,"\int \frac{1+\left(3+5 x^4\right) \log ^2(2)+\log ^2(2) \log \left(x^{1+\frac{1}{\log ^2(2)}}\right)}{\log ^2(2)} \, dx","Integrate[(1 + (3 + 5*x^4)*Log[2]^2 + Log[2]^2*Log[x^(1 + Log[2]^(-2))])/Log[2]^2,x]","x \left(\log \left(x^{1+\frac{1}{\log ^2(2)}}\right)+x^4+2\right)","x \left(\log \left(x^{1+\frac{1}{\log ^2(2)}}\right)+x^4+2\right)",1,"x*(2 + x^4 + Log[x^(1 + Log[2]^(-2))])","A",1
8871,1,14,15,0.0093766,"\int e^{5-e} \left(-1+2 e^{-5+e} x\right) \, dx","Integrate[E^(5 - E)*(-1 + 2*E^(-5 + E)*x),x]","x^2-e^{5-e} x","x^2-e^{5-e} x+25",1,"-(E^(5 - E)*x) + x^2","A",1
8872,1,32,29,0.106198,"\int \exp \left(-78+56 x-13 x^2+x^3+e^x \left(-16+8 x-x^2\right)\right) \left(-55+82 x-29 x^2+3 x^3+e^3 \left(56-26 x+3 x^2\right)+e^x \left(8-14 x+7 x^2-x^3+e^3 \left(-8+6 x-x^2\right)\right)\right) \, dx","Integrate[E^(-78 + 56*x - 13*x^2 + x^3 + E^x*(-16 + 8*x - x^2))*(-55 + 82*x - 29*x^2 + 3*x^3 + E^3*(56 - 26*x + 3*x^2) + E^x*(8 - 14*x + 7*x^2 - x^3 + E^3*(-8 + 6*x - x^2))),x]","e^{x^3-13 x^2+56 x-e^x (x-4)^2-78} \left(x+e^3-1\right)","e^{2-(4-x) (x-4) \left(x-e^x-5\right)} \left(x+e^3-1\right)",1,"E^(-78 - E^x*(-4 + x)^2 + 56*x - 13*x^2 + x^3)*(-1 + E^3 + x)","A",1
8873,1,32,24,0.0254785,"\int \frac{900+1194 x+1272 x^2+955 x^3+378 x^4+71 x^5+5 x^6}{144 x^2+168 x^3+73 x^4+14 x^5+x^6} \, dx","Integrate[(900 + 1194*x + 1272*x^2 + 955*x^3 + 378*x^4 + 71*x^5 + 5*x^6)/(144*x^2 + 168*x^3 + 73*x^4 + 14*x^5 + x^6),x]","\frac{29 x+91}{4 \left(x^2+7 x+12\right)}+5 x-\frac{25}{4 x}+\log (x)","5 (x+3)-\frac{25}{x (x+4)}+\frac{1}{x+3}+\log (x)+1",1,"-25/(4*x) + 5*x + (91 + 29*x)/(4*(12 + 7*x + x^2)) + Log[x]","A",1
8874,1,20,20,0.2486077,"\int \frac{\left(1+e^x+x\right) \log (x)+\left(-1-e^x-x+\left(1+2 x+e^x (1+x)\right) \log (x)\right) \log (x \log (4))}{8 \log ^2(x)} \, dx","Integrate[((1 + E^x + x)*Log[x] + (-1 - E^x - x + (1 + 2*x + E^x*(1 + x))*Log[x])*Log[x*Log[4]])/(8*Log[x]^2),x]","\frac{x \left(x+e^x+1\right) \log (x \log (4))}{8 \log (x)}","\frac{x \left(x+e^x+1\right) \log (x \log (4))}{8 \log (x)}",1,"(x*(1 + E^x + x)*Log[x*Log[4]])/(8*Log[x])","A",1
8875,1,14,24,0.0702493,"\int \frac{-10+5 \log (3)+e^{e^x+x} (-10+5 \log (3))}{e^{e^x}+x} \, dx","Integrate[(-10 + 5*Log[3] + E^(E^x + x)*(-10 + 5*Log[3]))/(E^E^x + x),x]","5 (\log (3)-2) \log \left(x+e^{e^x}\right)","(5 \log (3)-10) \left(\log \left(\frac{1}{3} e^5 \left(x+e^{e^x}\right)\right)+2\right)",1,"5*(-2 + Log[3])*Log[E^E^x + x]","A",1
8876,1,38,23,0.0112169,"\int \frac{1}{3} \left(-3+3 e^x+8 x+7 x \log (x)+x \log ^2(x)\right) \, dx","Integrate[(-3 + 3*E^x + 8*x + 7*x*Log[x] + x*Log[x]^2)/3,x]","\frac{1}{3} \left(\frac{5 x^2}{2}+\frac{1}{2} x^2 \log ^2(x)+3 x^2 \log (x)-3 x+3 e^x\right)","-x+e^x+\frac{1}{6} x (\log (x)+5) (x+x \log (x))-1",1,"(3*E^x - 3*x + (5*x^2)/2 + 3*x^2*Log[x] + (x^2*Log[x]^2)/2)/3","A",1
8877,1,16,18,0.320847,"\int \frac{4-12 x+e^x (8+4 x)+8 \log (x)}{e^{2 x} x^3-2 e^x x^4+x^5+\left(2 e^x x^3-2 x^4\right) \log (x)+x^3 \log ^2(x)} \, dx","Integrate[(4 - 12*x + E^x*(8 + 4*x) + 8*Log[x])/(E^(2*x)*x^3 - 2*E^x*x^4 + x^5 + (2*E^x*x^3 - 2*x^4)*Log[x] + x^3*Log[x]^2),x]","-\frac{4}{x^2 \left(-x+e^x+\log (x)\right)}","\frac{4}{x^2 \left(x-e^x-\log (x)\right)}",1,"-4/(x^2*(E^x - x + Log[x]))","A",1
8878,1,34,33,0.045228,"\int \frac{100-20 e^3-15 x+8 x^2+e^x (10+5 x)+\left(50-10 e^3+5 e^x-5 x+2 x^2\right) \log \left(\frac{50-10 e^3+5 e^x-5 x+2 x^2}{2 x}\right)}{50-10 e^3+5 e^x-5 x+2 x^2} \, dx","Integrate[(100 - 20*E^3 - 15*x + 8*x^2 + E^x*(10 + 5*x) + (50 - 10*E^3 + 5*E^x - 5*x + 2*x^2)*Log[(50 - 10*E^3 + 5*E^x - 5*x + 2*x^2)/(2*x)])/(50 - 10*E^3 + 5*E^x - 5*x + 2*x^2),x]","x \log \left(\frac{2 x^2-5 x+5 e^x-10 e^3+50}{2 x}\right)+3 x","x+x \left(\log \left(x+\frac{5 \left(-x+\frac{1}{2} \left(x+e^x\right)-e^3+5\right)}{x}\right)+2\right)",1,"3*x + x*Log[(50 - 10*E^3 + 5*E^x - 5*x + 2*x^2)/(2*x)]","A",1
8879,1,93,26,0.2395858,"\int \frac{-37500000+53750000 x-32000000 x^2+9800000 x^3-1400000 x^4-28000 x^5+44800 x^6-7360 x^7+544 x^8-16 x^9+\left(-3125000 x+3750000 x^2-1750000 x^3+350000 x^4-14000 x^6+2800 x^7-240 x^8+8 x^9+\left(-3125000+3750000 x-1750000 x^2+350000 x^3-14000 x^5+2800 x^6-240 x^7+8 x^8\right) \log (5+x)\right) \log \left(\frac{1}{4} \left(x^2+2 x \log (5+x)+\log ^2(5+x)\right)\right)+\left(9000000-9300000 x+3600000 x^2-540000 x^3-24000 x^4+18720 x^5-2304 x^6+96 x^7\right) \log ^2\left(\frac{1}{4} \left(x^2+2 x \log (5+x)+\log ^2(5+x)\right)\right)+\left(750000 x-600000 x^2+150000 x^3-6000 x^5+960 x^6-48 x^7+\left(750000-600000 x+150000 x^2-6000 x^4+960 x^5-48 x^6\right) \log (5+x)\right) \log ^3\left(\frac{1}{4} \left(x^2+2 x \log (5+x)+\log ^2(5+x)\right)\right)+\left(-720000+456000 x-76800 x^2-5760 x^3+2688 x^4-192 x^5\right) \log ^4\left(\frac{1}{4} \left(x^2+2 x \log (5+x)+\log ^2(5+x)\right)\right)+\left(-60000 x+24000 x^2-960 x^4+96 x^5+\left(-60000+24000 x-960 x^3+96 x^4\right) \log (5+x)\right) \log ^5\left(\frac{1}{4} \left(x^2+2 x \log (5+x)+\log ^2(5+x)\right)\right)+\left(19200-4480 x-512 x^2+128 x^3\right) \log ^6\left(\frac{1}{4} \left(x^2+2 x \log (5+x)+\log ^2(5+x)\right)\right)+\left(1600 x-64 x^3+\left(1600-64 x^2\right) \log (5+x)\right) \log ^7\left(\frac{1}{4} \left(x^2+2 x \log (5+x)+\log ^2(5+x)\right)\right)}{\left(5 x+x^2+(5+x) \log (5+x)\right) \log ^9\left(\frac{1}{4} \left(x^2+2 x \log (5+x)+\log ^2(5+x)\right)\right)} \, dx","Integrate[(-37500000 + 53750000*x - 32000000*x^2 + 9800000*x^3 - 1400000*x^4 - 28000*x^5 + 44800*x^6 - 7360*x^7 + 544*x^8 - 16*x^9 + (-3125000*x + 3750000*x^2 - 1750000*x^3 + 350000*x^4 - 14000*x^6 + 2800*x^7 - 240*x^8 + 8*x^9 + (-3125000 + 3750000*x - 1750000*x^2 + 350000*x^3 - 14000*x^5 + 2800*x^6 - 240*x^7 + 8*x^8)*Log[5 + x])*Log[(x^2 + 2*x*Log[5 + x] + Log[5 + x]^2)/4] + (9000000 - 9300000*x + 3600000*x^2 - 540000*x^3 - 24000*x^4 + 18720*x^5 - 2304*x^6 + 96*x^7)*Log[(x^2 + 2*x*Log[5 + x] + Log[5 + x]^2)/4]^2 + (750000*x - 600000*x^2 + 150000*x^3 - 6000*x^5 + 960*x^6 - 48*x^7 + (750000 - 600000*x + 150000*x^2 - 6000*x^4 + 960*x^5 - 48*x^6)*Log[5 + x])*Log[(x^2 + 2*x*Log[5 + x] + Log[5 + x]^2)/4]^3 + (-720000 + 456000*x - 76800*x^2 - 5760*x^3 + 2688*x^4 - 192*x^5)*Log[(x^2 + 2*x*Log[5 + x] + Log[5 + x]^2)/4]^4 + (-60000*x + 24000*x^2 - 960*x^4 + 96*x^5 + (-60000 + 24000*x - 960*x^3 + 96*x^4)*Log[5 + x])*Log[(x^2 + 2*x*Log[5 + x] + Log[5 + x]^2)/4]^5 + (19200 - 4480*x - 512*x^2 + 128*x^3)*Log[(x^2 + 2*x*Log[5 + x] + Log[5 + x]^2)/4]^6 + (1600*x - 64*x^3 + (1600 - 64*x^2)*Log[5 + x])*Log[(x^2 + 2*x*Log[5 + x] + Log[5 + x]^2)/4]^7)/((5*x + x^2 + (5 + x)*Log[5 + x])*Log[(x^2 + 2*x*Log[5 + x] + Log[5 + x]^2)/4]^9),x]","8 \left(\frac{(x-5)^8}{8 \log ^8\left(\frac{1}{4} (x+\log (x+5))^2\right)}-\frac{(x-5)^6}{\log ^6\left(\frac{1}{4} (x+\log (x+5))^2\right)}+\frac{3 (x-5)^4}{\log ^4\left(\frac{1}{4} (x+\log (x+5))^2\right)}-\frac{4 (x-5)^2}{\log ^2\left(\frac{1}{4} (x+\log (x+5))^2\right)}\right)","\left(2-\frac{(x-5)^2}{\log ^2\left(\frac{1}{4} (x+\log (x+5))^2\right)}\right)^4",1,"8*((-5 + x)^8/(8*Log[(x + Log[5 + x])^2/4]^8) - (-5 + x)^6/Log[(x + Log[5 + x])^2/4]^6 + (3*(-5 + x)^4)/Log[(x + Log[5 + x])^2/4]^4 - (4*(-5 + x)^2)/Log[(x + Log[5 + x])^2/4]^2)","B",1
8880,1,11,15,0.001602,"\int \left(e^4 x \log (4)+2 e^4 x \log (4) \log (x)\right) \, dx","Integrate[E^4*x*Log[4] + 2*E^4*x*Log[4]*Log[x],x]","e^4 x^2 \log (4) \log (x)","e^4 x^2 \log (4) \log (x)+\frac{9}{5}",1,"E^4*x^2*Log[4]*Log[x]","A",1
8881,1,24,24,0.2688604,"\int \frac{-1600 e^{4 x}+\left(-160 x-200 e^{4 x} x\right) \log (x)+\left(-160 x+e^{4 x} \left(-200 x+400 x^2\right)\right) \log ^2(x)}{16+40 e^{4 x}+25 e^{8 x}} \, dx","Integrate[(-1600*E^(4*x) + (-160*x - 200*E^(4*x)*x)*Log[x] + (-160*x + E^(4*x)*(-200*x + 400*x^2))*Log[x]^2)/(16 + 40*E^(4*x) + 25*E^(8*x)),x]","\frac{40 \left(4-x^2 \log ^2(x)\right)}{10 e^{4 x}+8}","\frac{4 \left(4-x^2 \log ^2(x)\right)}{e^{4 x}+\frac{4}{5}}",1,"(40*(4 - x^2*Log[x]^2))/(8 + 10*E^(4*x))","A",1
8882,1,31,31,0.2132266,"\int \frac{e^{5+e^{2 x}} \left(6+e^{16+x} \left(-9+9 x-18 e^{2 x} x\right)+e^{16+x} \left(3-3 x+6 e^{2 x} x\right) \log \left(x^2\right)\right)+e^{5+e^{2 x}} \left(9+18 e^{2 x} x+\left(-3-6 e^{2 x} x\right) \log \left(x^2\right)\right) \log \left(3-\log \left(x^2\right)\right)}{-3 e^{32+2 x}+e^{32+2 x} \log \left(x^2\right)+\left(6 e^{16+x}-2 e^{16+x} \log \left(x^2\right)\right) \log \left(3-\log \left(x^2\right)\right)+\left(-3+\log \left(x^2\right)\right) \log ^2\left(3-\log \left(x^2\right)\right)} \, dx","Integrate[(E^(5 + E^(2*x))*(6 + E^(16 + x)*(-9 + 9*x - 18*E^(2*x)*x) + E^(16 + x)*(3 - 3*x + 6*E^(2*x)*x)*Log[x^2]) + E^(5 + E^(2*x))*(9 + 18*E^(2*x)*x + (-3 - 6*E^(2*x)*x)*Log[x^2])*Log[3 - Log[x^2]])/(-3*E^(32 + 2*x) + E^(32 + 2*x)*Log[x^2] + (6*E^(16 + x) - 2*E^(16 + x)*Log[x^2])*Log[3 - Log[x^2]] + (-3 + Log[x^2])*Log[3 - Log[x^2]]^2),x]","-\frac{3 e^{e^{2 x}+5} x}{\log \left(3-\log \left(x^2\right)\right)-e^{x+16}}","\frac{3 e^{e^{2 x}+5} x}{e^{x+16}-\log \left(3-\log \left(x^2\right)\right)}",1,"(-3*E^(5 + E^(2*x))*x)/(-E^(16 + x) + Log[3 - Log[x^2]])","A",1
8883,1,43,19,0.0303403,"\int \frac{4 x^2-2 x^3-2 x^5+e^{17} \left(-4+6 x+10 x^2-8 x^3-6 x^5+2 x^6\right)}{e^{17} x^5} \, dx","Integrate[(4*x^2 - 2*x^3 - 2*x^5 + E^17*(-4 + 6*x + 10*x^2 - 8*x^3 - 6*x^5 + 2*x^6))/(E^17*x^5),x]","\frac{x^6-6 x^5+8 x^3-5 x^2-\frac{2 \left(x^3-x+1\right) x^2}{e^{17}}-2 x+1}{x^4}","\left(\frac{1-x}{x^2}+x-\frac{1}{e^{17}}-3\right)^2",1,"(1 - 2*x - 5*x^2 + 8*x^3 - 6*x^5 + x^6 - (2*x^2*(1 - x + x^3))/E^17)/x^4","B",1
8884,1,26,26,4.4410206,"\int \frac{-128 x^2+160 x^3-32 x^4+e^5 \left(-640 x+128 x^2\right)+\left(-640 x+128 x^2\right) \log (-5+x)}{-320 x^3-176 x^4-12 x^5+7 x^6+x^7+e^{15} (-320+64 x)+e^{10} \left(-960 x-48 x^2+48 x^3\right)+e^5 \left(-960 x^2-288 x^3+36 x^4+12 x^5\right)+\left(-240 x^3-72 x^4+9 x^5+3 x^6+e^{10} \left(-240 x+48 x^2\right)+e^5 \left(-480 x^2-24 x^3+24 x^4\right)\right) \log (2)+\left(-60 x^3-3 x^4+3 x^5+e^5 \left(-60 x^2+12 x^3\right)\right) \log ^2(2)+\left(-5 x^3+x^4\right) \log ^3(2)+\left(-240 x^3-72 x^4+9 x^5+3 x^6+e^{10} \left(-240 x+48 x^2\right)+e^5 \left(-480 x^2-24 x^3+24 x^4\right)+\left(-120 x^3-6 x^4+6 x^5+e^5 \left(-120 x^2+24 x^3\right)\right) \log (2)+\left(-15 x^3+3 x^4\right) \log ^2(2)\right) \log (3)+\left(-60 x^3-3 x^4+3 x^5+e^5 \left(-60 x^2+12 x^3\right)+\left(-15 x^3+3 x^4\right) \log (2)\right) \log ^2(3)+\left(-5 x^3+x^4\right) \log ^3(3)+\left(-960 x^2-288 x^3+36 x^4+12 x^5+e^{10} (-960+192 x)+e^5 \left(-1920 x-96 x^2+96 x^3\right)+\left(-480 x^2-24 x^3+24 x^4+e^5 \left(-480 x+96 x^2\right)\right) \log (2)+\left(-60 x^2+12 x^3\right) \log ^2(2)+\left(-480 x^2-24 x^3+24 x^4+e^5 \left(-480 x+96 x^2\right)+\left(-120 x^2+24 x^3\right) \log (2)\right) \log (3)+\left(-60 x^2+12 x^3\right) \log ^2(3)\right) \log (-5+x)+\left(-960 x-48 x^2+48 x^3+e^5 (-960+192 x)+\left(-240 x+48 x^2\right) \log (2)+\left(-240 x+48 x^2\right) \log (3)\right) \log ^2(-5+x)+(-320+64 x) \log ^3(-5+x)} \, dx","Integrate[(-128*x^2 + 160*x^3 - 32*x^4 + E^5*(-640*x + 128*x^2) + (-640*x + 128*x^2)*Log[-5 + x])/(-320*x^3 - 176*x^4 - 12*x^5 + 7*x^6 + x^7 + E^15*(-320 + 64*x) + E^10*(-960*x - 48*x^2 + 48*x^3) + E^5*(-960*x^2 - 288*x^3 + 36*x^4 + 12*x^5) + (-240*x^3 - 72*x^4 + 9*x^5 + 3*x^6 + E^10*(-240*x + 48*x^2) + E^5*(-480*x^2 - 24*x^3 + 24*x^4))*Log[2] + (-60*x^3 - 3*x^4 + 3*x^5 + E^5*(-60*x^2 + 12*x^3))*Log[2]^2 + (-5*x^3 + x^4)*Log[2]^3 + (-240*x^3 - 72*x^4 + 9*x^5 + 3*x^6 + E^10*(-240*x + 48*x^2) + E^5*(-480*x^2 - 24*x^3 + 24*x^4) + (-120*x^3 - 6*x^4 + 6*x^5 + E^5*(-120*x^2 + 24*x^3))*Log[2] + (-15*x^3 + 3*x^4)*Log[2]^2)*Log[3] + (-60*x^3 - 3*x^4 + 3*x^5 + E^5*(-60*x^2 + 12*x^3) + (-15*x^3 + 3*x^4)*Log[2])*Log[3]^2 + (-5*x^3 + x^4)*Log[3]^3 + (-960*x^2 - 288*x^3 + 36*x^4 + 12*x^5 + E^10*(-960 + 192*x) + E^5*(-1920*x - 96*x^2 + 96*x^3) + (-480*x^2 - 24*x^3 + 24*x^4 + E^5*(-480*x + 96*x^2))*Log[2] + (-60*x^2 + 12*x^3)*Log[2]^2 + (-480*x^2 - 24*x^3 + 24*x^4 + E^5*(-480*x + 96*x^2) + (-120*x^2 + 24*x^3)*Log[2])*Log[3] + (-60*x^2 + 12*x^3)*Log[3]^2)*Log[-5 + x] + (-960*x - 48*x^2 + 48*x^3 + E^5*(-960 + 192*x) + (-240*x + 48*x^2)*Log[2] + (-240*x + 48*x^2)*Log[3])*Log[-5 + x]^2 + (-320 + 64*x)*Log[-5 + x]^3),x]","\frac{16 x^2}{\left(x (x+4+\log (6))+4 \log (x-5)+4 e^5\right)^2}","\frac{1}{\left(\frac{1}{4} (x+\log (3)+\log (2))+\frac{x+\log (x-5)+e^5}{x}\right)^2}",1,"(16*x^2)/(4*E^5 + x*(4 + x + Log[6]) + 4*Log[-5 + x])^2","A",1
8885,1,59,28,0.0325645,"\int \frac{1}{25} \left(25+\left(900+1050 x+450 x^2+100 x^3+\left(60+60 x+30 x^2\right) \log (2)+2 x \log ^2(2)\right) \log ^2(9)\right) \, dx","Integrate[(25 + (900 + 1050*x + 450*x^2 + 100*x^3 + (60 + 60*x + 30*x^2)*Log[2] + 2*x*Log[2]^2)*Log[9]^2)/25,x]","x^4 \log ^2(9)+\frac{2}{5} x^3 (15+\log (2)) \log ^2(9)+\frac{1}{25} x^2 \left(525+\log ^2(2)+30 \log (2)\right) \log ^2(9)+x+\frac{12}{5} x (15+\log (2)) \log ^2(9)","x^2 \log ^2(9) \left(x+\frac{3 (x+2)}{x}+\frac{\log (2)}{5}\right)^2+x",1,"x + x^4*Log[9]^2 + (12*x*(15 + Log[2])*Log[9]^2)/5 + (2*x^3*(15 + Log[2])*Log[9]^2)/5 + (x^2*(525 + 30*Log[2] + Log[2]^2)*Log[9]^2)/25","B",1
8886,1,36,24,0.0136213,"\int \frac{-12-36 x^4+e^2 \left(-18 x-6 x^2+18 x^5-18 x^6\right)}{e^2 \left(x^2+3 x^6\right)} \, dx","Integrate[(-12 - 36*x^4 + E^2*(-18*x - 6*x^2 + 18*x^5 - 18*x^6))/(E^2*(x^2 + 3*x^6)),x]","-\frac{6 \left(-e^2 \log \left(3 x^4+1\right)+e^2 x-\frac{2}{x}+3 e^2 \log (x)\right)}{e^2}","6 \left(\log \left(\frac{1}{3 x^3}+x\right)-x+\frac{2}{e^2 x}\right)",1,"(-6*(-2/x + E^2*x + 3*E^2*Log[x] - E^2*Log[1 + 3*x^4]))/E^2","A",1
8887,1,66,28,0.0905725,"\int \frac{8 e^{2 x} x+12 x^2+e^x \left(-8 x-8 x^2\right)+\left(-10+6 x^2+e^{2 x} (-2+8 x)+e^x \left(-4 x-8 x^2\right)\right) \log (x)+\left(-5+x^2-2 e^x x^2+e^{2 x} (-1+2 x)\right) \log ^2(x)}{x^2} \, dx","Integrate[(8*E^(2*x)*x + 12*x^2 + E^x*(-8*x - 8*x^2) + (-10 + 6*x^2 + E^(2*x)*(-2 + 8*x) + E^x*(-4*x - 8*x^2))*Log[x] + (-5 + x^2 - 2*E^x*x^2 + E^(2*x)*(-1 + 2*x))*Log[x]^2)/x^2,x]","\frac{4 \left(2 x^2-2 e^x x+e^{2 x}+5\right)+\left(x^2-2 e^x x+e^{2 x}+5\right) \log ^2(x)+4 \left(x^2-2 e^x x+e^{2 x}+5\right) \log (x)}{x}","4 x+\frac{x+\left(\left(e^x-x\right)^2+5\right) (\log (x)+2)^2}{x}",1,"(4*(5 + E^(2*x) - 2*E^x*x + 2*x^2) + 4*(5 + E^(2*x) - 2*E^x*x + x^2)*Log[x] + (5 + E^(2*x) - 2*E^x*x + x^2)*Log[x]^2)/x","B",1
8888,1,26,34,0.1124647,"\int \frac{1}{3} \left(3+e^{-e^{3/x} x+x^2} \left(1+e^{3/x} (3-x)+2 x^2\right)-\log (x)\right) \, dx","Integrate[(3 + E^(-(E^(3/x)*x) + x^2)*(1 + E^(3/x)*(3 - x) + 2*x^2) - Log[x])/3,x]","\frac{1}{3} x \left(e^{x \left(x-e^{3/x}\right)}-\log (x)+4\right)","x+\frac{1}{3} \left(\left(e^{x \left(x-e^{3/x}\right)}+2\right) x-x-x \log (x)\right)",1,"(x*(4 + E^(x*(-E^(3/x) + x)) - Log[x]))/3","A",1
8889,1,20,23,0.15947,"\int \frac{-12-4 x-3 x^2+e^{5 x} (2+13 x)}{-4+e^{5 x} x-x^2} \, dx","Integrate[(-12 - 4*x - 3*x^2 + E^(5*x)*(2 + 13*x))/(-4 + E^(5*x)*x - x^2),x]","2 \log \left(x^2-e^{5 x} x+4\right)+3 x","x+2 \left(x+\log \left(x \left(x-e^{5 x}\right)+4\right)\right)-4+\log (3)",1,"3*x + 2*Log[4 - E^(5*x)*x + x^2]","A",1
8890,1,35,31,5.0482055,"\int \frac{e^x \left(-304+152 x^2-19 x^4+e^2 \left(-304+152 x^2-19 x^4\right)\right)+e^{2 x} \left(28-5 x^2+x^4+e^2 \left(28-5 x^2+x^4\right)\right)}{5776-2888 x^2+361 x^4+e^x \left(1064 x-418 x^3+38 x^5\right)+e^{2 x} \left(49 x^2-14 x^4+x^6\right)} \, dx","Integrate[(E^x*(-304 + 152*x^2 - 19*x^4 + E^2*(-304 + 152*x^2 - 19*x^4)) + E^(2*x)*(28 - 5*x^2 + x^4 + E^2*(28 - 5*x^2 + x^4)))/(5776 - 2888*x^2 + 361*x^4 + E^x*(1064*x - 418*x^3 + 38*x^5) + E^(2*x)*(49*x^2 - 14*x^4 + x^6)),x]","-\frac{\left(1+e^2\right) e^x \left(x^2-4\right)}{e^x x \left(x^2-7\right)+19 \left(x^2-4\right)}","\frac{1+e^2}{-\left(\left(2-\frac{3}{x^2-4}\right) x\right)+x-19 e^{-x}}",1,"-((E^x*(1 + E^2)*(-4 + x^2))/(E^x*x*(-7 + x^2) + 19*(-4 + x^2)))","A",1
8891,1,25,27,0.0294897,"\int \left(-1+e^{5+e (-1+x)+2 x} (2+e)+e^x (-1-x)-2 x\right) \, dx","Integrate[-1 + E^(5 + E*(-1 + x) + 2*x)*(2 + E) + E^x*(-1 - x) - 2*x,x]","-e^x x-(x+1) x+e^{e (x-1)+2 x+5}","-\left(\left(x+e^x\right) x\right)-x+e^{-e (1-x)+2 x+5}",1,"E^(5 + E*(-1 + x) + 2*x) - E^x*x - x*(1 + x)","A",1
8892,1,29,29,0.0617008,"\int \frac{8 x^5+e^8 \left(-48+8 x+16 x^2+2 x^3\right)+e^4 \left(192 x-80 x^3-8 x^4\right)}{-8 x^4+4 x^6+e^8 \left(-8+8 x+2 x^2-4 x^3+x^4\right)+e^4 \left(-16 x^2+8 x^3+8 x^4-4 x^5\right)} \, dx","Integrate[(8*x^5 + E^8*(-48 + 8*x + 16*x^2 + 2*x^3) + E^4*(192*x - 80*x^3 - 8*x^4))/(-8*x^4 + 4*x^6 + E^8*(-8 + 8*x + 2*x^2 - 4*x^3 + x^4) + E^4*(-16*x^2 + 8*x^3 + 8*x^4 - 4*x^5)),x]","\log \left(2-x^2\right)-\frac{24 e^4}{e^4 (x-2)-2 x^2}","\frac{12}{\frac{2}{x-\frac{2 x^2}{e^4}}-1}+\log \left(2-x^2\right)",1,"(-24*E^4)/(E^4*(-2 + x) - 2*x^2) + Log[2 - x^2]","A",1
8893,1,40,32,0.1886379,"\int \frac{4 e^5 x^2 \log ^2(x)+e^{\frac{3}{e^5 x^2 \log (x)}} \log \left(2+e^2\right) \left(6+12 \log (x)-4 e^5 x^2 \log ^2(x)\right)+e^{\frac{6}{e^5 x^2 \log (x)}} \log ^2\left(2+e^2\right) \left(-3-6 \log (x)+e^5 x^2 \log ^2(x)\right)}{2 e^5 x \log ^2\left(2+e^2\right) \log ^2(x)} \, dx","Integrate[(4*E^5*x^2*Log[x]^2 + E^(3/(E^5*x^2*Log[x]))*Log[2 + E^2]*(6 + 12*Log[x] - 4*E^5*x^2*Log[x]^2) + E^(6/(E^5*x^2*Log[x]))*Log[2 + E^2]^2*(-3 - 6*Log[x] + E^5*x^2*Log[x]^2))/(2*E^5*x*Log[2 + E^2]^2*Log[x]^2),x]","\frac{x^2 \left(\log \left(2+e^2\right) e^{\frac{3}{e^5 x^2 \log (x)}}-2\right)^2}{4 \log ^2\left(2+e^2\right)}","\left(\frac{x}{\log \left(2+e^2\right)}-\frac{1}{2} x e^{\frac{3}{e^5 x^2 \log (x)}}\right)^2",1,"(x^2*(-2 + E^(3/(E^5*x^2*Log[x]))*Log[2 + E^2])^2)/(4*Log[2 + E^2]^2)","A",1
8894,1,25,23,0.1181039,"\int \frac{-2916 e^{\frac{4 (3+x)}{-3+2 x}}+72 x^7-96 x^8+32 x^9+e^{\frac{3 (3+x)}{-3+2 x}} \left(1944 x-5508 x^2+864 x^3\right)+e^{\frac{2 (3+x)}{-3+2 x}} \left(1944 x^3-3564 x^4+864 x^5\right)+e^{\frac{3+x}{-3+2 x}} \left(648 x^5-972 x^6+288 x^7\right)}{729-972 x+324 x^2} \, dx","Integrate[(-2916*E^((4*(3 + x))/(-3 + 2*x)) + 72*x^7 - 96*x^8 + 32*x^9 + E^((3*(3 + x))/(-3 + 2*x))*(1944*x - 5508*x^2 + 864*x^3) + E^((2*(3 + x))/(-3 + 2*x))*(1944*x^3 - 3564*x^4 + 864*x^5) + E^((3 + x)/(-3 + 2*x))*(648*x^5 - 972*x^6 + 288*x^7))/(729 - 972*x + 324*x^2),x]","\frac{1}{81} \left(x^2+3 e^{\frac{x+3}{2 x-3}}\right)^4","\left(\frac{x^2}{3}+e^{\frac{x+3}{2 x-3}}\right)^4",1,"(3*E^((3 + x)/(-3 + 2*x)) + x^2)^4/81","A",1
8895,1,26,25,0.8892721,"\int \left(1+e^{-25+e^{-1-e^x+2 x}-9 x-x^2} \left(-9+e^{-1-e^x+2 x} \left(2-e^x\right)-2 x\right)\right) \, dx","Integrate[1 + E^(-25 + E^(-1 - E^x + 2*x) - 9*x - x^2)*(-9 + E^(-1 - E^x + 2*x)*(2 - E^x) - 2*x),x]","e^{-x^2-9 x+e^{2 x-e^x-1}-25}+x","x+e^{-(x+5)^2+e^{2 x-e^x-1}+x}",1,"E^(-25 + E^(-1 - E^x + 2*x) - 9*x - x^2) + x","A",1
8896,1,22,22,0.3967817,"\int \frac{e^{-3-x} \left(20-4 x+\left(56+2 x-4 x^2\right) \log (7+2 x)\right)}{\left(175-20 x-13 x^2+2 x^3\right) \log ^2(7+2 x)} \, dx","Integrate[(E^(-3 - x)*(20 - 4*x + (56 + 2*x - 4*x^2)*Log[7 + 2*x]))/((175 - 20*x - 13*x^2 + 2*x^3)*Log[7 + 2*x]^2),x]","\frac{2 e^{-x-3}}{(x-5) \log (2 x+7)}","\frac{2 e^{-x-3}}{(x-5) \log (2 x+7)}",1,"(2*E^(-3 - x))/((-5 + x)*Log[7 + 2*x])","A",1
8897,1,109,31,0.47815,"\int \frac{\exp \left(-\frac{3025+6065 x+2856 x^2+58 x^3-174 x^4-3 x^5+9 x^6+x^7+\left(660+852 x+144 x^2-60 x^3-12 x^4\right) \log (4)+\left(-74-106 x-24 x^2+10 x^3+2 x^4\right) \log ^2(4)+(-12-12 x) \log ^3(4)+(1+x) \log ^4(4)}{3025+1760 x-184 x^2-238 x^3-16 x^4+8 x^5+x^6+\left(660+192 x-48 x^2-12 x^3\right) \log (4)+\left(-74-32 x+8 x^2+2 x^3\right) \log ^2(4)-12 \log ^3(4)+\log ^4(4)}\right) \left(-166375+91575 x+259580 x^2+126599 x^3+21533 x^4+3943 x^5+2515 x^6+625 x^7+17 x^8-11 x^9-x^{10}+\left(-54450+30450 x+50352 x^2+9612 x^3-2076 x^4-282 x^5+126 x^6+18 x^7\right) \log (4)+\left(3135-863 x-6232 x^2-1926 x^3+238 x^4+47 x^5-21 x^6-3 x^7\right) \log ^2(4)+\left(1764-1188 x-720 x^2+108 x^3+36 x^4\right) \log ^3(4)+\left(-57+9 x+60 x^2-9 x^3-3 x^4\right) \log ^4(4)+(-18+18 x) \log ^5(4)+(1-x) \log ^6(4)\right)}{-166375-145200 x-5940 x^2+26099 x^3+5712 x^4-1320 x^5-485 x^6+12 x^8+x^9+\left(-54450-31680 x+3312 x^2+4284 x^3+288 x^4-144 x^5-18 x^6\right) \log (4)+\left(3135+3552 x-120 x^2-606 x^3-48 x^4+24 x^5+3 x^6\right) \log ^2(4)+\left(1764+576 x-144 x^2-36 x^3\right) \log ^3(4)+\left(-57-48 x+12 x^2+3 x^3\right) \log ^4(4)-18 \log ^5(4)+\log ^6(4)} \, dx","Integrate[(-166375 + 91575*x + 259580*x^2 + 126599*x^3 + 21533*x^4 + 3943*x^5 + 2515*x^6 + 625*x^7 + 17*x^8 - 11*x^9 - x^10 + (-54450 + 30450*x + 50352*x^2 + 9612*x^3 - 2076*x^4 - 282*x^5 + 126*x^6 + 18*x^7)*Log[4] + (3135 - 863*x - 6232*x^2 - 1926*x^3 + 238*x^4 + 47*x^5 - 21*x^6 - 3*x^7)*Log[4]^2 + (1764 - 1188*x - 720*x^2 + 108*x^3 + 36*x^4)*Log[4]^3 + (-57 + 9*x + 60*x^2 - 9*x^3 - 3*x^4)*Log[4]^4 + (-18 + 18*x)*Log[4]^5 + (1 - x)*Log[4]^6)/(E^((3025 + 6065*x + 2856*x^2 + 58*x^3 - 174*x^4 - 3*x^5 + 9*x^6 + x^7 + (660 + 852*x + 144*x^2 - 60*x^3 - 12*x^4)*Log[4] + (-74 - 106*x - 24*x^2 + 10*x^3 + 2*x^4)*Log[4]^2 + (-12 - 12*x)*Log[4]^3 + (1 + x)*Log[4]^4)/(3025 + 1760*x - 184*x^2 - 238*x^3 - 16*x^4 + 8*x^5 + x^6 + (660 + 192*x - 48*x^2 - 12*x^3)*Log[4] + (-74 - 32*x + 8*x^2 + 2*x^3)*Log[4]^2 - 12*Log[4]^3 + Log[4]^4))*(-166375 - 145200*x - 5940*x^2 + 26099*x^3 + 5712*x^4 - 1320*x^5 - 485*x^6 + 12*x^8 + x^9 + (-54450 - 31680*x + 3312*x^2 + 4284*x^3 + 288*x^4 - 144*x^5 - 18*x^6)*Log[4] + (3135 + 3552*x - 120*x^2 - 606*x^3 - 48*x^4 + 24*x^5 + 3*x^6)*Log[4]^2 + (1764 + 576*x - 144*x^2 - 36*x^3)*Log[4]^3 + (-57 - 48*x + 12*x^2 + 3*x^3)*Log[4]^4 - 18*Log[4]^5 + Log[4]^6)),x]","x \exp \left(\frac{5 \left(x^2 \left(-247+\log ^2(4)-6 \log (4)\right)+4 x \left(-485+3 \log ^2(4)-18 \log (4)\right)+64 \left(-55+\log ^2(4)-6 \log (4)\right)\right)}{\left(x^3+4 x^2-16 x-55+\log ^2(4)-6 \log (4)\right)^2}-\frac{5 \left(x^2+12 x+64\right)}{x^3+4 x^2-16 x-55+\log ^2(4)-6 \log (4)}-x-1\right)","x \exp \left(-x-\frac{5 x}{\left(x+\frac{(3-\log (4))^2}{(x+4)^2}-4\right)^2}-1\right)",1,"E^(-1 - x - (5*(64 + 12*x + x^2))/(-55 - 16*x + 4*x^2 + x^3 - 6*Log[4] + Log[4]^2) + (5*(x^2*(-247 - 6*Log[4] + Log[4]^2) + 64*(-55 - 6*Log[4] + Log[4]^2) + 4*x*(-485 - 18*Log[4] + 3*Log[4]^2)))/(-55 - 16*x + 4*x^2 + x^3 - 6*Log[4] + Log[4]^2)^2)*x","B",1
8898,1,216,28,0.059338,"\int \frac{-3125000+30625000 x-124875000 x^2+269500000 x^3-319025000 x^4+183897000 x^5-22013600 x^6-14862680 x^7-2972536 x^9+880544 x^{10}+1471176 x^{11}+510440 x^{12}+86240 x^{13}+7992 x^{14}+392 x^{15}+8 x^{16}+\left(-15000 x^4+63000 x^5-82200 x^6+28560 x^7+5712 x^9+3288 x^{10}+504 x^{11}+24 x^{12}+e^5 \left(-5000 x^4+21000 x^5-27400 x^6+9520 x^7+1904 x^9+1096 x^{10}+168 x^{11}+8 x^{12}\right)\right) \log ^8(4)}{3 x^9 \log ^{16}(4)} \, dx","Integrate[(-3125000 + 30625000*x - 124875000*x^2 + 269500000*x^3 - 319025000*x^4 + 183897000*x^5 - 22013600*x^6 - 14862680*x^7 - 2972536*x^9 + 880544*x^10 + 1471176*x^11 + 510440*x^12 + 86240*x^13 + 7992*x^14 + 392*x^15 + 8*x^16 + (-15000*x^4 + 63000*x^5 - 82200*x^6 + 28560*x^7 + 5712*x^9 + 3288*x^10 + 504*x^11 + 24*x^12 + E^5*(-5000*x^4 + 21000*x^5 - 27400*x^6 + 9520*x^7 + 1904*x^9 + 1096*x^10 + 168*x^11 + 8*x^12))*Log[4]^8)/(3*x^9*Log[4]^16),x]","\frac{x^{16}+56 x^{15}+1332 x^{14}+17248 x^{13}+2 x^{12} \left(63805+3 \log ^8(4)+e^5 \log ^8(4)\right)+56 x^{11} \left(8757+3 \log ^8(4)+e^5 \log ^8(4)\right)+4 x^{10} \left(110068+411 \log ^8(4)+137 e^5 \log ^8(4)\right)+56 x^9 \left(-53081+102 \log ^8(4)+34 e^5 \log ^8(4)\right)-280 x^7 \left(-53081+102 \log ^8(4)+34 e^5 \log ^8(4)\right)+100 x^6 \left(110068+411 \log ^8(4)+137 e^5 \log ^8(4)\right)-7000 x^5 \left(8757+3 \log ^8(4)+e^5 \log ^8(4)\right)+1250 x^4 \left(63805+3 \log ^8(4)+e^5 \log ^8(4)\right)-53900000 x^3+20812500 x^2-4375000 x+390625}{3 x^8 \log ^{16}(4)}","\frac{1}{3} \left(\frac{\left(-x+\frac{5}{x}-7\right)^4}{\log ^8(4)}+e^5+3\right)^2",1,"(390625 - 4375000*x + 20812500*x^2 - 53900000*x^3 + 17248*x^13 + 1332*x^14 + 56*x^15 + x^16 - 7000*x^5*(8757 + 3*Log[4]^8 + E^5*Log[4]^8) + 56*x^11*(8757 + 3*Log[4]^8 + E^5*Log[4]^8) + 1250*x^4*(63805 + 3*Log[4]^8 + E^5*Log[4]^8) + 2*x^12*(63805 + 3*Log[4]^8 + E^5*Log[4]^8) - 280*x^7*(-53081 + 102*Log[4]^8 + 34*E^5*Log[4]^8) + 56*x^9*(-53081 + 102*Log[4]^8 + 34*E^5*Log[4]^8) + 100*x^6*(110068 + 411*Log[4]^8 + 137*E^5*Log[4]^8) + 4*x^10*(110068 + 411*Log[4]^8 + 137*E^5*Log[4]^8))/(3*x^8*Log[4]^16)","B",1
8899,1,20,26,0.0274584,"\int \frac{e^{-1+x} \left(e^{1-x} \left(1+x^3\right) \log (4)+\left(-6 x^3-6 x^4\right) \log (4)\right)}{x^3} \, dx","Integrate[(E^(-1 + x)*(E^(1 - x)*(1 + x^3)*Log[4] + (-6*x^3 - 6*x^4)*Log[4]))/x^3,x]","\left(-\frac{1}{2 x^2}-6 e^{x-1} x+x\right) \log (4)","\left(-\frac{1}{2 x^2}-6 e^{x-1} x+x\right) \log (4)-e^5",1,"(-1/2*1/x^2 + x - 6*E^(-1 + x)*x)*Log[4]","A",1
8900,1,16,23,0.2502602,"\int \frac{e^{\frac{x}{2+\log (-18-2 x+\log (4)+3 \log (25))}} (-36-2 x+2 \log (4)+6 \log (25)+(-18-2 x+\log (4)+3 \log (25)) \log (-18-2 x+\log (4)+3 \log (25)))}{-72-8 x+4 \log (4)+12 \log (25)+(-72-8 x+4 \log (4)+12 \log (25)) \log (-18-2 x+\log (4)+3 \log (25))+(-18-2 x+\log (4)+3 \log (25)) \log ^2(-18-2 x+\log (4)+3 \log (25))} \, dx","Integrate[(E^(x/(2 + Log[-18 - 2*x + Log[4] + 3*Log[25]]))*(-36 - 2*x + 2*Log[4] + 6*Log[25] + (-18 - 2*x + Log[4] + 3*Log[25])*Log[-18 - 2*x + Log[4] + 3*Log[25]]))/(-72 - 8*x + 4*Log[4] + 12*Log[25] + (-72 - 8*x + 4*Log[4] + 12*Log[25])*Log[-18 - 2*x + Log[4] + 3*Log[25]] + (-18 - 2*x + Log[4] + 3*Log[25])*Log[-18 - 2*x + Log[4] + 3*Log[25]]^2),x]","e^{\frac{x}{\log (-2 x-18+\log (62500))+2}}","e^{\frac{x}{\log (x-3 (x+7-\log (25))+3+\log (4))+2}}",1,"E^(x/(2 + Log[-18 - 2*x + Log[62500]]))","A",1
8901,1,17,17,0.358319,"\int \frac{1-8 x-x^2+4 x^3+(-1+4 x) \log (1-4 x)}{-1+4 x-2 x^2+8 x^3-x^4+4 x^5+\left(2-8 x+2 x^2-8 x^3\right) \log (1-4 x)+(-1+4 x) \log ^2(1-4 x)} \, dx","Integrate[(1 - 8*x - x^2 + 4*x^3 + (-1 + 4*x)*Log[1 - 4*x])/(-1 + 4*x - 2*x^2 + 8*x^3 - x^4 + 4*x^5 + (2 - 8*x + 2*x^2 - 8*x^3)*Log[1 - 4*x] + (-1 + 4*x)*Log[1 - 4*x]^2),x]","\frac{x}{-x^2+\log (1-4 x)-1}","\frac{x}{-x^2+\log (1-4 x)-1}",1,"x/(-1 - x^2 + Log[1 - 4*x])","A",1
8902,1,19,29,0.0156612,"\int \frac{20 \log ^2(2)}{640 x+448 x^2+\left(480 x+336 x^2\right) \log \left(\frac{-10-7 x}{2 x}\right)+\left(120 x+84 x^2\right) \log ^2\left(\frac{-10-7 x}{2 x}\right)+\left(10 x+7 x^2\right) \log ^3\left(\frac{-10-7 x}{2 x}\right)} \, dx","Integrate[(20*Log[2]^2)/(640*x + 448*x^2 + (480*x + 336*x^2)*Log[(-10 - 7*x)/(2*x)] + (120*x + 84*x^2)*Log[(-10 - 7*x)/(2*x)]^2 + (10*x + 7*x^2)*Log[(-10 - 7*x)/(2*x)]^3),x]","\frac{\log ^2(2)}{\left(\log \left(-\frac{5}{x}-\frac{7}{2}\right)+4\right)^2}","\frac{x+\frac{x \log ^2(2)}{\left(\log \left(\frac{3}{2}-\frac{5 (x+1)}{x}\right)+4\right)^2}}{x}",1,"Log[2]^2/(4 + Log[-7/2 - 5/x])^2","A",1
8903,1,17,21,0.0116732,"\int \frac{-4+\left(-160-160 x-40 x^2\right) \log (2)}{4+4 x+x^2} \, dx","Integrate[(-4 + (-160 - 160*x - 40*x^2)*Log[2])/(4 + 4*x + x^2),x]","-4 \left(10 (x+2) \log (2)-\frac{1}{x+2}\right)","4 \left(-\frac{x}{2 x+4}-10 x \log (2)-5+\log (5)\right)",1,"-4*(-(2 + x)^(-1) + 10*(2 + x)*Log[2])","A",1
8904,1,24,22,0.2166272,"\int \frac{27 e^{8 x}+e^{4 x} \left(64-256 x-144 x^2\right)}{9 e^{8 x}-24 e^{4 x} x+16 x^2} \, dx","Integrate[(27*E^(8*x) + E^(4*x)*(64 - 256*x - 144*x^2))/(9*E^(8*x) - 24*E^(4*x)*x + 16*x^2),x]","\frac{\left(27 e^{4 x}+64\right) x}{9 e^{4 x}-12 x}","\frac{x+4 (2 x+4)}{3-4 e^{-4 x} x}",1,"((64 + 27*E^(4*x))*x)/(9*E^(4*x) - 12*x)","A",1
8905,1,3,5,0.0001661,"\int e^x \, dx","Integrate[E^x,x]","e^x","e^x-1",1,"E^x","A",1
8906,1,35,27,0.3014219,"\int \frac{-10+150 x+56 x^2-114 x^3-24 x^4+24 x^5+e^{x^2} \left(150 x+60 x^2-114 x^3-24 x^4+24 x^5\right)}{75+30 x-57 x^2-12 x^3+12 x^4} \, dx","Integrate[(-10 + 150*x + 56*x^2 - 114*x^3 - 24*x^4 + 24*x^5 + E^x^2*(150*x + 60*x^2 - 114*x^3 - 24*x^4 + 24*x^5))/(75 + 30*x - 57*x^2 - 12*x^3 + 12*x^4),x]","\frac{2}{3} \left(\frac{3 x^2}{2}+\frac{x}{2 x^2-x-5}+\frac{3 e^{x^2}}{2}\right)","x^2+\frac{2 x}{3 \left(2 x^2-x-5\right)}+e^{x^2}-1",1,"(2*((3*E^x^2)/2 + (3*x^2)/2 + x/(-5 - x + 2*x^2)))/3","A",1
8907,1,25,29,0.0609233,"\int \frac{e^5 (25+25 x) \log (4)+25 e^5 \log (4) \log (x)+25 e^5 \log ^2(x)}{x^2 \log ^2(x)} \, dx","Integrate[(E^5*(25 + 25*x)*Log[4] + 25*E^5*Log[4]*Log[x] + 25*E^5*Log[x]^2)/(x^2*Log[x]^2),x]","25 e^5 \left(-\frac{1}{x}-\frac{(x+1) \log (4)}{x \log (x)}\right)","\frac{25 e^5 (x+1) (\log (x)+\log (4))}{x (x-\log (x))-x^2}",1,"25*E^5*(-x^(-1) - ((1 + x)*Log[4])/(x*Log[x]))","A",1
8908,1,72,27,0.1495808,"\int \frac{-65536+524288 x-595968 x^2+6672 x^3-17 x^4+e^3 \left(524288 x-6144 x^2+16 x^3\right)+\left(131072 x-132608 x^2+1540 x^3-4 x^4+e^3 \left(131072 x-1536 x^2+4 x^3\right)\right) \log \left(1+e^3-x\right)}{65536+65536 e^3-65536 x} \, dx","Integrate[(-65536 + 524288*x - 595968*x^2 + 6672*x^3 - 17*x^4 + E^3*(524288*x - 6144*x^2 + 16*x^3) + (131072*x - 132608*x^2 + 1540*x^3 - 4*x^4 + E^3*(131072*x - 1536*x^2 + 4*x^3))*Log[1 + E^3 - x])/(65536 + 65536*E^3 - 65536*x),x]","\frac{4 x^4+x^4 \log \left(-x+e^3+1\right)-2048 x^3-512 x^3 \log \left(-x+e^3+1\right)+262144 x^2+65536 x^2 \log \left(-x+e^3+1\right)+65536 \log \left(-x+e^3+1\right)}{65536}","\left(\left(\frac{x^2}{256}-x\right)^2+1\right) \left(\log \left(-x+e^3+1\right)+4\right)",1,"(262144*x^2 - 2048*x^3 + 4*x^4 + 65536*Log[1 + E^3 - x] + 65536*x^2*Log[1 + E^3 - x] - 512*x^3*Log[1 + E^3 - x] + x^4*Log[1 + E^3 - x])/65536","B",1
8909,1,48,29,0.0968342,"\int \frac{75+225 x+\left(150 x-30 e x+30 x^2-150 x \log (5)\right) \log \left(\frac{3}{x}\right)+\left(30 x+e^2 x+10 x^2+x^3+e \left(-10 x-2 x^2\right)+\left(-50 x+10 e x-10 x^2\right) \log (5)+25 x \log ^2(5)\right) \log ^2\left(\frac{3}{x}\right)}{225 x+\left(150 x-30 e x+30 x^2-150 x \log (5)\right) \log \left(\frac{3}{x}\right)+\left(25 x+e^2 x+10 x^2+x^3+e \left(-10 x-2 x^2\right)+\left(-50 x+10 e x-10 x^2\right) \log (5)+25 x \log ^2(5)\right) \log ^2\left(\frac{3}{x}\right)} \, dx","Integrate[(75 + 225*x + (150*x - 30*E*x + 30*x^2 - 150*x*Log[5])*Log[3/x] + (30*x + E^2*x + 10*x^2 + x^3 + E*(-10*x - 2*x^2) + (-50*x + 10*E*x - 10*x^2)*Log[5] + 25*x*Log[5]^2)*Log[3/x]^2)/(225*x + (150*x - 30*E*x + 30*x^2 - 150*x*Log[5])*Log[3/x] + (25*x + E^2*x + 10*x^2 + x^3 + E*(-10*x - 2*x^2) + (-50*x + 10*E*x - 10*x^2)*Log[5] + 25*x*Log[5]^2)*Log[3/x]^2),x]","\frac{\left(x^2-x (-5+e+5 \log (5))-5\right) \log \left(\frac{3}{x}\right)+15 x}{(x-e+5-5 \log (5)) \log \left(\frac{3}{x}\right)+15}","x+\frac{5}{-x-5 \left(\frac{3}{\log \left(\frac{3}{x}\right)}-\log (5)\right)+e-5}",1,"(15*x + (-5 + x^2 - x*(-5 + E + 5*Log[5]))*Log[3/x])/(15 + (5 - E + x - 5*Log[5])*Log[3/x])","A",1
8910,1,63,14,0.0138666,"\int \frac{(26+4 x) \log \left(-13 x-x^2\right)}{39 x+3 x^2} \, dx","Integrate[((26 + 4*x)*Log[-13*x - x^2])/(39*x + 3*x^2),x]","\frac{2}{3} \left(-\frac{1}{2} \log ^2(x)-\frac{1}{2} \log ^2(x+13)-\log \left(\frac{x+13}{13}\right) \log (x)+\log (-x (x+13)) \log (x)-\log (13) \log (x)+\log (x+13) \log (-x (x+13))\right)","\frac{1}{3} \log ^2((-x-13) x)",1,"(2*(-(Log[13]*Log[x]) - Log[x]^2/2 - Log[x]*Log[(13 + x)/13] - Log[13 + x]^2/2 + Log[x]*Log[-(x*(13 + x))] + Log[13 + x]*Log[-(x*(13 + x))]))/3","B",1
8911,1,24,28,0.0124108,"\int \frac{e^{e^{10}} \left(e^{5+x} (-2+x)+4 e^5 x\right)}{5 x^3} \, dx","Integrate[(E^E^10*(E^(5 + x)*(-2 + x) + 4*E^5*x))/(5*x^3),x]","\frac{1}{5} e^{5+e^{10}} \left(\frac{e^x}{x^2}-\frac{4}{x}\right)","\frac{e^{5+e^{10}} \left(\frac{e^x}{x}-4\right)-x}{5 x}",1,"(E^(5 + E^10)*(E^x/x^2 - 4/x))/5","A",1
8912,1,19,22,0.1352487,"\int \frac{9-6 x+x^2+e^{2 x} \left(-24 x^2-20 x^3+8 x^4\right) \log (2)}{9 x-6 x^2+x^3} \, dx","Integrate[(9 - 6*x + x^2 + E^(2*x)*(-24*x^2 - 20*x^3 + 8*x^4)*Log[2])/(9*x - 6*x^2 + x^3),x]","\frac{e^{2 x} x^2 \log (16)}{x-3}+\log (x)","\log (x)-\frac{4 e^{2 x} x^2 \log (2)}{3-x}",1,"(E^(2*x)*x^2*Log[16])/(-3 + x) + Log[x]","A",1
8913,1,21,21,0.0224371,"\int \left(10 x+27 x^2+12 x^3+e^{4+x} \left(-150 x-75 x^2\right)\right) \, dx","Integrate[10*x + 27*x^2 + 12*x^3 + E^(4 + x)*(-150*x - 75*x^2),x]","x^2 \left(3 x^2+9 x-75 e^{x+4}+5\right)","x^2 \left(3 \left(x (x+3)-25 e^{x+4}\right)+5\right)",1,"x^2*(5 - 75*E^(4 + x) + 9*x + 3*x^2)","A",1
8914,1,28,29,0.0952884,"\int \frac{\exp \left(-2+\frac{-3-3 x+e^{\frac{2 e^3}{x}} (1+x)+\log (2)}{1+x}\right) \left(-x-2 x^2-x^3+e^{3+\frac{2 e^3}{x}} \left(-2-4 x-2 x^2\right)-x^2 \log (2)\right)}{2 x^3+4 x^4+2 x^5} \, dx","Integrate[(E^(-2 + (-3 - 3*x + E^((2*E^3)/x)*(1 + x) + Log[2])/(1 + x))*(-x - 2*x^2 - x^3 + E^(3 + (2*E^3)/x)*(-2 - 4*x - 2*x^2) - x^2*Log[2]))/(2*x^3 + 4*x^4 + 2*x^5),x]","\frac{2^{-\frac{x}{x+1}} e^{e^{\frac{2 e^3}{x}}-5}}{x}","\frac{e^{e^{\frac{2 e^3}{x}}+\frac{\log (2)}{x+1}-5}}{2 x}",1,"E^(-5 + E^((2*E^3)/x))/(2^(x/(1 + x))*x)","A",1
8915,1,22,22,0.0083759,"\int \frac{-5-48 e^{3 x} x^2-12 e^{6 x} x^2}{2 x^2} \, dx","Integrate[(-5 - 48*E^(3*x)*x^2 - 12*E^(6*x)*x^2)/(2*x^2),x]","-8 e^{3 x}-e^{6 x}+\frac{5}{2 x}","-\left(e^{3 x}+4\right)^2+\frac{5}{2 x}+4+\log (3)",1,"-8*E^(3*x) - E^(6*x) + 5/(2*x)","A",1
8916,1,385,25,0.8834075,"\int \frac{-5 x^2+e \left(5 x^2+10 x^3\right) \log (3)+\left(-4 x+10 e^4 x-10 x^2+e \left(10 x^2+10 x^3\right) \log (3)\right) \log \left(\frac{1}{5} \left(2-5 e^4+5 x+e \left(-5 x-5 x^2\right) \log (3)\right)\right)}{-2+5 e^4-5 x+e \left(5 x+5 x^2\right) \log (3)} \, dx","Integrate[(-5*x^2 + E*(5*x^2 + 10*x^3)*Log[3] + (-4*x + 10*E^4*x - 10*x^2 + E*(10*x^2 + 10*x^3)*Log[3])*Log[(2 - 5*E^4 + 5*x + E*(-5*x - 5*x^2)*Log[3])/5])/(-2 + 5*E^4 - 5*x + E*(5*x + 5*x^2)*Log[3]),x]","\frac{1}{10} \left(10 x^2 \left(\log \left(x-e (x+1) x \log (3)-e^4+\frac{2}{5}\right)+1\right)-\frac{5 x^2 \log (9)}{\log (3)}+\frac{\left(-5 e^2 \log ^3(3)+5 e^5 \log (3) \log (9)+e \log (9) \log (27)-\log (243)\right) \log \left(5 x-5 e (x+1) x \log (3)-5 e^4+2\right)}{e^2 \log ^3(3)}-\frac{\left(-5-5 e^2 \log ^2(3)+10 e^5 \log (3)+e \log (729)\right) \log \left(5 x-5 e (x+1) x \log (3)-5 e^4+2\right)}{e^2 \log ^2(3)}-\frac{2 (e \log (3)-1) \sqrt{5 \left(-5-5 e^2 \log ^2(3)+e \log (9)+5 e^5 \log (81)\right)} \tan ^{-1}\left(\sqrt{\frac{5}{-5-5 e^2 \log ^2(3)+20 e^5 \log (3)+e \log (9)}} (1-e (x \log (9)+\log (3)))\right)}{e^2 \log ^2(3)}+\frac{2 (e \log (3)-1) \sqrt{5 \left(-5-5 e^2 \log ^2(3)+e \log (9)+5 e^5 \log (81)\right)} \left(-5 e^2 \log ^3(3)-4 e \log ^2(3)+e \log (9) \log (27)+5 e^5 \log (3) \log (81)-\log (243)\right) \tan ^{-1}\left(\sqrt{\frac{5}{-5-5 e^2 \log ^2(3)+20 e^5 \log (3)+e \log (9)}} (1-e (x \log (9)+\log (3)))\right)}{e^2 \log ^3(3) \left(-5-5 e^2 \log ^2(3)+20 e^5 \log (3)+e \log (9)\right)}\right)","x^2 \log \left(-e \left(\left(x^2+x\right) \log (3)+e^3\right)+x+\frac{2}{5}\right)",1,"((-5*x^2*Log[9])/Log[3] - (2*ArcTan[Sqrt[5/(-5 + 20*E^5*Log[3] - 5*E^2*Log[3]^2 + E*Log[9])]*(1 - E*(Log[3] + x*Log[9]))]*(-1 + E*Log[3])*Sqrt[5*(-5 - 5*E^2*Log[3]^2 + E*Log[9] + 5*E^5*Log[81])])/(E^2*Log[3]^2) + (2*ArcTan[Sqrt[5/(-5 + 20*E^5*Log[3] - 5*E^2*Log[3]^2 + E*Log[9])]*(1 - E*(Log[3] + x*Log[9]))]*(-1 + E*Log[3])*Sqrt[5*(-5 - 5*E^2*Log[3]^2 + E*Log[9] + 5*E^5*Log[81])]*(-4*E*Log[3]^2 - 5*E^2*Log[3]^3 + E*Log[9]*Log[27] + 5*E^5*Log[3]*Log[81] - Log[243]))/(E^2*Log[3]^3*(-5 + 20*E^5*Log[3] - 5*E^2*Log[3]^2 + E*Log[9])) + ((-5*E^2*Log[3]^3 + 5*E^5*Log[3]*Log[9] + E*Log[9]*Log[27] - Log[243])*Log[2 - 5*E^4 + 5*x - 5*E*x*(1 + x)*Log[3]])/(E^2*Log[3]^3) - ((-5 + 10*E^5*Log[3] - 5*E^2*Log[3]^2 + E*Log[729])*Log[2 - 5*E^4 + 5*x - 5*E*x*(1 + x)*Log[3]])/(E^2*Log[3]^2) + 10*x^2*(1 + Log[2/5 - E^4 + x - E*x*(1 + x)*Log[3]]))/10","B",0
8917,1,25,25,0.0631402,"\int \frac{e^2 (2-3 x)+10 x+\left(-3 e^2 x-15 x^2\right) \log \left(\frac{15 x}{e^2+5 x}\right)}{2 e^2 x+10 x^2} \, dx","Integrate[(E^2*(2 - 3*x) + 10*x + (-3*E^2*x - 15*x^2)*Log[(15*x)/(E^2 + 5*x)])/(2*E^2*x + 10*x^2),x]","\frac{1}{2} \left(2 \log (x)-3 x \log \left(\frac{15 x}{5 x+e^2}\right)\right)","\log (3 x)-\frac{3}{2} x \log \left(\frac{3 x}{x+\frac{e^2}{5}}\right)",1,"(2*Log[x] - 3*x*Log[(15*x)/(E^2 + 5*x)])/2","A",1
8918,1,57,27,1.2773385,"\int \frac{-6+8 x-2 e^4 x+12 x^2-2 x \log (x)}{9 e^{\frac{1}{3} \left(5 x-e^4 x+3 x^2-x \log (x)\right)}-6 x} \, dx","Integrate[(-6 + 8*x - 2*E^4*x + 12*x^2 - 2*x*Log[x])/(9*E^((5*x - E^4*x + 3*x^2 - x*Log[x])/3) - 6*x),x]","\frac{1}{3} \left(3 \log \left(3 e^{-\frac{1}{3} \left(-3 x+e^4-5\right) x} x^{-x/3}-2 x\right)+x\right)-\frac{1}{3} x \left(3 x-\log (x)-e^4+6\right)","\log \left(6-4 x e^{-\frac{1}{3} x \left(3 x-\log (x)-e^4+5\right)}\right)",1,"-1/3*(x*(6 - E^4 + 3*x - Log[x])) + (x + 3*Log[-2*x + 3/(E^(((-5 + E^4 - 3*x)*x)/3)*x^(x/3))])/3","B",1
8919,1,24,25,0.0088648,"\int \frac{180 e^{\frac{18}{x^2}}+3 x^3+2 e^{2 x} x^3}{5 x^3} \, dx","Integrate[(180*E^(18/x^2) + 3*x^3 + 2*E^(2*x)*x^3)/(5*x^3),x]","-e^{\frac{18}{x^2}}+\frac{3 x}{5}+\frac{e^{2 x}}{5}","-e^{\frac{18}{x^2}}+\frac{1}{5} \left(-2 x+e^{2 x}-1\right)+x",1,"-E^(18/x^2) + E^(2*x)/5 + (3*x)/5","A",1
8920,1,18,18,0.0059963,"\int \frac{-1-4 x+2 x^2+x^3}{-x+x^3} \, dx","Integrate[(-1 - 4*x + 2*x^2 + x^3)/(-x + x^3),x]","x-\log (1-x)+\log (x)+2 \log (x+1)","x+\log (x)-\log \left(\frac{2 x-2}{(x+1)^2}\right)",1,"x - Log[1 - x] + Log[x] + 2*Log[1 + x]","A",1
8921,1,8,13,0.021161,"\int -\frac{1}{x \log (x) \log \left(\frac{3}{\log (x)}\right)} \, dx","Integrate[-(1/(x*Log[x]*Log[3/Log[x]])),x]","\log \left(\log \left(\frac{3}{\log (x)}\right)\right)","\log \left(\frac{3 \log \left(\frac{3}{\log (x)}\right)}{e^3}\right)",1,"Log[Log[3/Log[x]]]","A",1
8922,1,46,20,0.0083384,"\int \frac{15625000 x+78125000 x^2+\left(2500 x+25000 x^2\right) \log (9)+2 x^2 \log ^2(9)+(3125000+15625000 x+2500 x \log (9)) \log (x)}{15625 x} \, dx","Integrate[(15625000*x + 78125000*x^2 + (2500*x + 25000*x^2)*Log[9] + 2*x^2*Log[9]^2 + (3125000 + 15625000*x + 2500*x*Log[9])*Log[x])/(15625*x),x]","2500 x^2+\frac{x^2 \log ^2(9)}{15625}+\frac{4}{5} x^2 \log (9)+100 \log ^2(x)+\frac{4}{25} x \log (9) \log (x)+1000 x \log (x)","25 \left(\frac{1}{625} x \log (9)+2 (5 x+\log (x))\right)^2",1,"2500*x^2 + (4*x^2*Log[9])/5 + (x^2*Log[9]^2)/15625 + 1000*x*Log[x] + (4*x*Log[9]*Log[x])/25 + 100*Log[x]^2","B",1
8923,1,16,15,0.0158853,"\int \frac{-3 e-3 e^6}{e x+e^6 x-4 x^4} \, dx","Integrate[(-3*E - 3*E^6)/(E*x + E^6*x - 4*x^4),x]","\log \left(-4 x^3+e^6+e\right)-3 \log (x)","\log \left(1-\frac{e+e^6}{4 x^3}\right)",1,"-3*Log[x] + Log[E + E^6 - 4*x^3]","A",1
8924,1,30,32,0.1086802,"\int \frac{\left(-1-7 x+8 x^2\right) \log \left(\frac{1}{4} \left(x+8 x^2\right)\right)+\left(-x-16 x^2+(1+16 x) \log (x)+\left(x+8 x^2+(-1-8 x) \log (x)\right) \log \left(\frac{1}{4} \left(x+8 x^2\right)\right)\right) \log (-25 x+25 \log (x))+\left(-2 x^3-16 x^4+\left(2 x^2+16 x^3\right) \log (x)\right) \log ^2(-25 x+25 \log (x))}{\left(-x^3-8 x^4+\left(x^2+8 x^3\right) \log (x)\right) \log ^2(-25 x+25 \log (x))} \, dx","Integrate[((-1 - 7*x + 8*x^2)*Log[(x + 8*x^2)/4] + (-x - 16*x^2 + (1 + 16*x)*Log[x] + (x + 8*x^2 + (-1 - 8*x)*Log[x])*Log[(x + 8*x^2)/4])*Log[-25*x + 25*Log[x]] + (-2*x^3 - 16*x^4 + (2*x^2 + 16*x^3)*Log[x])*Log[-25*x + 25*Log[x]]^2)/((-x^3 - 8*x^4 + (x^2 + 8*x^3)*Log[x])*Log[-25*x + 25*Log[x]]^2),x]","2 x+\frac{\log \left(\frac{1}{4} x (8 x+1)\right)}{x \log (25 (\log (x)-x))}","\frac{\log \left(2 x^2+\frac{x}{4}\right)}{x \log (25 (\log (x)-x))}+2 x-3",1,"2*x + Log[(x*(1 + 8*x))/4]/(x*Log[25*(-x + Log[x])])","A",1
8925,1,35,26,0.5054292,"\int e^{-2 e^4-2 x} \left(-2 x-2 x^2+e^{2 e^4} \left(2-2 e^2-8 e x-8 x^2\right)+e^{e^4} \left(-2+4 x+8 x^2+e (2+4 x)\right)\right) \, dx","Integrate[E^(-2*E^4 - 2*x)*(-2*x - 2*x^2 + E^(2*E^4)*(2 - 2*E^2 - 8*E*x - 8*x^2) + E^E^4*(-2 + 4*x + 8*x^2 + E*(2 + 4*x))),x]","e^{-2 \left(x+e^4\right)} \left(-x+e^{e^4} (2 x+1)+e^{1+e^4}-1\right)^2","e^{-2 x} \left(2 x-e^{-e^4} (x+1)+e+1\right)^2",1,"(-1 + E^(1 + E^4) - x + E^E^4*(1 + 2*x))^2/E^(2*(E^4 + x))","A",1
8926,1,39,33,0.2117442,"\int \frac{-1250+1300 x-440 x^2+48 x^3+e^{3-x} \left(100-112 x+38 x^2-4 x^3\right)+\left(-250+250 x-80 x^2+8 x^3+e^{3-x} \left(20-18 x+4 x^2\right)\right) \log \left(\frac{-25+e^{3-x} (2-x)+15 x-2 x^2}{-5+2 x}\right)}{-625 x+625 x^2-200 x^3+20 x^4+e^{3-x} \left(50 x-45 x^2+10 x^3\right)+\left(-125 x+125 x^2-40 x^3+4 x^4+e^{3-x} \left(10 x-9 x^2+2 x^3\right)\right) \log \left(\frac{-25+e^{3-x} (2-x)+15 x-2 x^2}{-5+2 x}\right)} \, dx","Integrate[(-1250 + 1300*x - 440*x^2 + 48*x^3 + E^(3 - x)*(100 - 112*x + 38*x^2 - 4*x^3) + (-250 + 250*x - 80*x^2 + 8*x^3 + E^(3 - x)*(20 - 18*x + 4*x^2))*Log[(-25 + E^(3 - x)*(2 - x) + 15*x - 2*x^2)/(-5 + 2*x)])/(-625*x + 625*x^2 - 200*x^3 + 20*x^4 + E^(3 - x)*(50*x - 45*x^2 + 10*x^3) + (-125*x + 125*x^2 - 40*x^3 + 4*x^4 + E^(3 - x)*(10*x - 9*x^2 + 2*x^3))*Log[(-25 + E^(3 - x)*(2 - x) + 15*x - 2*x^2)/(-5 + 2*x)]),x]","2 \left(\log \left(\log \left(-\frac{2 x^2-15 x+e^{3-x} (x-2)+25}{2 x-5}\right)+5\right)+\log (x)\right)","2 \log \left(x \left(\log \left(\frac{e^{3-x} (2-x)}{2 x-5}-x+5\right)+5\right)\right)",1,"2*(Log[x] + Log[5 + Log[-((25 + E^(3 - x)*(-2 + x) - 15*x + 2*x^2)/(-5 + 2*x))]])","A",1
8927,1,22,26,0.0048111,"\int \frac{2 x^4+\left(120+60 x-x^3\right) \log ^2(2)}{x^3 \log ^2(2)} \, dx","Integrate[(2*x^4 + (120 + 60*x - x^3)*Log[2]^2)/(x^3*Log[2]^2),x]","-\frac{60}{x^2}+\frac{x^2}{\log ^2(2)}-x-\frac{60}{x}","-\frac{60 (x+1)}{x^2}+\frac{x^2}{\log ^2(2)}-x-e^3+4",1,"-60/x^2 - 60/x - x + x^2/Log[2]^2","A",1
8928,1,36,22,0.0326122,"\int \frac{2016+1260 x+252 x^2-320 x^3+\left(504+189 x+80 x^3\right) \log (4)}{256 x^3+128 x^4+16 x^5} \, dx","Integrate[(2016 + 1260*x + 252*x^2 - 320*x^3 + (504 + 189*x + 80*x^3)*Log[4])/(256*x^3 + 128*x^4 + 16*x^5),x]","\frac{x^2 (2560-451 \log (4)-63 \log (64))-1008 x-504 (4+\log (4))}{128 x^2 (x+4)}","\frac{\left(-\frac{63}{16 x^2}-5\right) (2 x+4+\log (4))}{x+4}",1,"(-1008*x - 504*(4 + Log[4]) + x^2*(2560 - 451*Log[4] - 63*Log[64]))/(128*x^2*(4 + x))","A",1
8929,1,21,23,2.237325,"\int \frac{-16 x^3+\left(32 x^2-32 x^3\right) \log (e (-1+x))+e^{6+2 x+2 \log ^2(x)} \left(-16 x+\log (e (-1+x)) \left(32 x-32 x^2+(64-64 x) \log (x)\right)\right)+e^{3+x+\log ^2(x)} \left(-32 x^2+\log (e (-1+x)) \left(32 x-32 x^3+\left(64 x-64 x^2\right) \log (x)\right)\right)}{-x+x^2} \, dx","Integrate[(-16*x^3 + (32*x^2 - 32*x^3)*Log[E*(-1 + x)] + E^(6 + 2*x + 2*Log[x]^2)*(-16*x + Log[E*(-1 + x)]*(32*x - 32*x^2 + (64 - 64*x)*Log[x])) + E^(3 + x + Log[x]^2)*(-32*x^2 + Log[E*(-1 + x)]*(32*x - 32*x^3 + (64*x - 64*x^2)*Log[x])))/(-x + x^2),x]","-16 \left(x+e^{x+\log ^2(x)+3}\right)^2 (\log (x-1)+1)","5-16 \left(x+e^{x+\log ^2(x)+3}\right)^2 \log (e (x-1))",1,"-16*(E^(3 + x + Log[x]^2) + x)^2*(1 + Log[-1 + x])","A",1
8930,1,36,27,0.2437944,"\int \frac{120-115 x+e^{-1+3 x} \left(-80+260 x-180 x^2\right)+e^{-2+6 x} \left(-120 x+120 x^2\right)+\left(-80+80 x+e^{-1+3 x} \left(-120 x+120 x^2\right)\right) \log \left(x^2\right)}{-x+x^2} \, dx","Integrate[(120 - 115*x + E^(-1 + 3*x)*(-80 + 260*x - 180*x^2) + E^(-2 + 6*x)*(-120*x + 120*x^2) + (-80 + 80*x + E^(-1 + 3*x)*(-120*x + 120*x^2))*Log[x^2])/(-x + x^2),x]","\frac{5 \left(\left(2 e \log \left(x^2\right)+2 e^{3 x}-3 e\right)^2+e^2 \log (1-x)\right)}{e^2}","5 \left(\left(3-2 \left(\log \left(x^2\right)+e^{3 x-1}\right)\right)^2+\log (2-2 x)\right)",1,"(5*(E^2*Log[1 - x] + (-3*E + 2*E^(3*x) + 2*E*Log[x^2])^2))/E^2","A",1
8931,1,37,24,0.5482383,"\int \frac{4^{\frac{1}{x}} \left(e^x \left(x^2-\log (4)\right)+e^{5 x-x^2} \left(5 x^2-2 x^3-\log (4)\right)-2 \log (4)\right) \log (\log (\log (5)))}{x^2} \, dx","Integrate[(4^x^(-1)*(E^x*(x^2 - Log[4]) + E^(5*x - x^2)*(5*x^2 - 2*x^3 - Log[4]) - 2*Log[4])*Log[Log[Log[5]]])/x^2,x]","4^{\frac{1}{x}} e^{-x^2} \left(2 e^{x^2}+e^{x^2+x}+e^{5 x}\right) \log (\log (\log (5)))","4^{\frac{1}{x}} \left(e^x+e^{(5-x) x}+2\right) \log (\log (\log (5)))",1,"(4^x^(-1)*(E^(5*x) + 2*E^x^2 + E^(x + x^2))*Log[Log[Log[5]]])/E^x^2","A",1
8932,1,20,20,0.7767849,"\int \frac{e^{e^{-\frac{e^5+x}{2+x}} x^2-\frac{e^5+x}{2+x}} \left(8 x+6 x^2+e^5 x^2+2 x^3\right)}{4+4 x+x^2} \, dx","Integrate[(E^(x^2/E^((E^5 + x)/(2 + x)) - (E^5 + x)/(2 + x))*(8*x + 6*x^2 + E^5*x^2 + 2*x^3))/(4 + 4*x + x^2),x]","e^{e^{-\frac{x+e^5}{x+2}} x^2}","e^{e^{-\frac{x+e^5}{x+2}} x^2}",1,"E^(x^2/E^((E^5 + x)/(2 + x)))","A",1
8933,1,30,21,0.1291927,"\int e^{-x} \left(160 x+1360 x^2+2400 x^3-720 x^4+\left(240 x^2+880 x^3-240 x^4\right) \log (3)+\left(80 x^3-20 x^4\right) \log ^2(3)\right) \, dx","Integrate[(160*x + 1360*x^2 + 2400*x^3 - 720*x^4 + (240*x^2 + 880*x^3 - 240*x^4)*Log[3] + (80*x^3 - 20*x^4)*Log[3]^2)/E^x,x]","20 e^{-x} x^2 \left(x^2 \left(36+\log ^2(3)+\log (531441)\right)+x (24+\log (81))+4\right)","20 e^{-x} x^2 (-(x (6+\log (3)))-2)^2",1,"(20*x^2*(4 + x*(24 + Log[81]) + x^2*(36 + Log[3]^2 + Log[531441])))/E^x","A",1
8934,1,20,20,0.0175497,"\int \frac{12 x-3 x^2+e \left(-64+64 x-16 x^2\right)}{e \left(4-4 x+x^2\right)} \, dx","Integrate[(12*x - 3*x^2 + E*(-64 + 64*x - 16*x^2))/(E*(4 - 4*x + x^2)),x]","-\frac{3 x}{e}-16 x-\frac{12}{e (x-2)}","x \left(-\frac{3 x}{e (x-2)}-\frac{8}{x}-16\right)",1,"-12/(E*(-2 + x)) - 16*x - (3*x)/E","A",1
8935,1,49,30,0.2902248,"\int \frac{\exp \left(-4+\frac{25+40 \log \left(-3+x^2\right)+e^{4+e^x} x \log ^2\left(-3+x^2\right)+\left(16+e^4 x^2\right) \log ^2\left(-3+x^2\right)}{e^4 x \log ^2\left(-3+x^2\right)}\right) \left(-100 x^2+\left(75-105 x^2\right) \log \left(-3+x^2\right)+\left(120-40 x^2\right) \log ^2\left(-3+x^2\right)+e^{4+e^x+x} \left(-3 x^2+x^4\right) \log ^3\left(-3+x^2\right)+\left(48-16 x^2+e^4 \left(-3 x^2+x^4\right)\right) \log ^3\left(-3+x^2\right)\right)}{\left(-3 x^2+x^4\right) \log ^3\left(-3+x^2\right)} \, dx","Integrate[(E^(-4 + (25 + 40*Log[-3 + x^2] + E^(4 + E^x)*x*Log[-3 + x^2]^2 + (16 + E^4*x^2)*Log[-3 + x^2]^2)/(E^4*x*Log[-3 + x^2]^2))*(-100*x^2 + (75 - 105*x^2)*Log[-3 + x^2] + (120 - 40*x^2)*Log[-3 + x^2]^2 + E^(4 + E^x + x)*(-3*x^2 + x^4)*Log[-3 + x^2]^3 + (48 - 16*x^2 + E^4*(-3*x^2 + x^4))*Log[-3 + x^2]^3))/((-3*x^2 + x^4)*Log[-3 + x^2]^3),x]","\exp \left(\frac{25}{e^4 x \log ^2\left(x^2-3\right)}+\frac{40}{e^4 x \log \left(x^2-3\right)}+x+e^{e^x}+\frac{16}{e^4 x}\right)","e^{\frac{\left(\frac{5}{\log \left(x^2-3\right)}+4\right)^2}{e^4 x}+e^{e^x}+x}",1,"E^(E^E^x + 16/(E^4*x) + x + 25/(E^4*x*Log[-3 + x^2]^2) + 40/(E^4*x*Log[-3 + x^2]))","A",1
8936,1,21,23,0.1178601,"\int \frac{-3 e^2 x^2-\log (5)}{\left(2 e^2 x^3+2 x \log (5)\right) \log \left(\frac{1}{4} \left(e^2 x^3+x \log (5)\right)\right)} \, dx","Integrate[(-3*E^2*x^2 - Log[5])/((2*E^2*x^3 + 2*x*Log[5])*Log[(E^2*x^3 + x*Log[5])/4]),x]","-\frac{1}{2} \log \left(\log \left(\frac{1}{4} x \left(e^2 x^2+\log (5)\right)\right)\right)","-\frac{1}{2} \log \left(2 \log \left(\frac{1}{4} x \left(e^2 x^2+\log (5)\right)\right)\right)",1,"-1/2*Log[Log[(x*(E^2*x^2 + Log[5]))/4]]","A",1
8937,1,79,28,0.2442157,"\int \frac{-36 x^4-162 e^4 x^4+81 x^4 \log (3)+e^{4 x} \left(-162 e^4+81 \log (3)\right)+e^{3 x} \left(648 e^4 x-324 x \log (3)\right)+e^{2 x} \left(-108 x^2-972 e^4 x^2+54 x^3+18 x^4+486 x^2 \log (3)\right)+e^x \left(144 x^3+648 e^4 x^3-54 x^4-18 x^5-324 x^3 \log (3)\right)}{324 e^8 x^4-36 e^4 x^5+x^6+\left(-324 e^4 x^4+18 x^5\right) \log (3)+81 x^4 \log ^2(3)+e^{4 x} \left(324 e^8-324 e^4 \log (3)+81 \log ^2(3)\right)+e^{3 x} \left(-1296 e^8 x+1296 e^4 x \log (3)-324 x \log ^2(3)\right)+e^{2 x} \left(1944 e^8 x^2-36 e^4 x^3+\left(-1944 e^4 x^2+18 x^3\right) \log (3)+486 x^2 \log ^2(3)\right)+e^x \left(-1296 e^8 x^3+72 e^4 x^4+\left(1296 e^4 x^3-36 x^4\right) \log (3)-324 x^3 \log ^2(3)\right)} \, dx","Integrate[(-36*x^4 - 162*E^4*x^4 + 81*x^4*Log[3] + E^(4*x)*(-162*E^4 + 81*Log[3]) + E^(3*x)*(648*E^4*x - 324*x*Log[3]) + E^(2*x)*(-108*x^2 - 972*E^4*x^2 + 54*x^3 + 18*x^4 + 486*x^2*Log[3]) + E^x*(144*x^3 + 648*E^4*x^3 - 54*x^4 - 18*x^5 - 324*x^3*Log[3]))/(324*E^8*x^4 - 36*E^4*x^5 + x^6 + (-324*E^4*x^4 + 18*x^5)*Log[3] + 81*x^4*Log[3]^2 + E^(4*x)*(324*E^8 - 324*E^4*Log[3] + 81*Log[3]^2) + E^(3*x)*(-1296*E^8*x + 1296*E^4*x*Log[3] - 324*x*Log[3]^2) + E^(2*x)*(1944*E^8*x^2 - 36*E^4*x^3 + (-1944*E^4*x^2 + 18*x^3)*Log[3] + 486*x^2*Log[3]^2) + E^x*(-1296*E^8*x^3 + 72*E^4*x^4 + (1296*E^4*x^3 - 36*x^4)*Log[3] - 324*x^3*Log[3]^2)),x]","-\frac{x-\frac{x^3 (x+4)}{-18 e^4 x^2+x^2 (x+9 \log (3))+36 e^{x+4} x-18 e^{2 x+4}-18 e^x x \log (3)+9 e^{2 x} \log (3)}}{2 e^4-\log (3)}","\frac{x+4}{\frac{x}{\left(3-\frac{3 e^x}{x}\right)^2}-2 e^4+\log (3)}",1,"-((x - (x^3*(4 + x))/(-18*E^(4 + 2*x) + 36*E^(4 + x)*x - 18*E^4*x^2 + 9*E^(2*x)*Log[3] - 18*E^x*x*Log[3] + x^2*(x + 9*Log[3])))/(2*E^4 - Log[3]))","B",1
8938,1,31,25,0.5476383,"\int \frac{e^{e^x+x} x^3+e^{e^{\frac{9}{x^2}+\frac{5}{x}}+e^{\frac{9}{x^2}} x} \left(e^{\frac{9}{x^2}+\frac{5}{x}} (-18-5 x)+e^{\frac{9}{x^2}} \left(-18 x+x^3\right)\right)}{x^3} \, dx","Integrate[(E^(E^x + x)*x^3 + E^(E^(9/x^2 + 5/x) + E^(9/x^2)*x)*(E^(9/x^2 + 5/x)*(-18 - 5*x) + E^(9/x^2)*(-18*x + x^3)))/x^3,x]","e^{e^{\frac{9}{x^2}} x+e^{\frac{9}{x^2}+\frac{5}{x}}}+e^{e^x}","e^{e^{\frac{9}{x^2}} \left(x+e^{5/x}\right)}+e^{e^x}",1,"E^E^x + E^(E^(9/x^2 + 5/x) + E^(9/x^2)*x)","A",1
8939,1,26,32,0.5715,"\int \frac{54-104 x-24 x^2+e^x \left(-2 x-56 x^2-8 x^3\right)+\left(56+16 x+e^x \left(56 x+8 x^2\right)\right) \log (x)}{-x-28 x^2-4 x^3+\left(28 x+4 x^2\right) \log (x)} \, dx","Integrate[(54 - 104*x - 24*x^2 + E^x*(-2*x - 56*x^2 - 8*x^3) + (56 + 16*x + E^x*(56*x + 8*x^2))*Log[x])/(-x - 28*x^2 - 4*x^3 + (28*x + 4*x^2)*Log[x]),x]","2 \left(\log \left(4 x^2+28 x-4 (x+7) \log (x)+1\right)+e^x+\log (x)\right)","\log \left(\frac{1}{25} e^{2 e^x} x^2 \left(\frac{1}{4}-(x+7) (\log (x)-x)\right)^2\right)",1,"2*(E^x + Log[x] + Log[1 + 28*x + 4*x^2 - 4*(7 + x)*Log[x]])","A",1
8940,1,49,32,0.1103101,"\int \frac{864+32 x-2 x^2+e^{-3 e^5+3 x} \left(576+1728 x-216 x^2\right)+e^{-6 e^5+6 x} \left(96+576 x-72 x^2\right)}{2916 x^2+432 e^{-9 e^5+9 x} x^2+36 e^{-12 e^5+12 x} x^2+108 x^3+x^4+e^{-6 e^5+6 x} \left(1944 x^2+12 x^3\right)+e^{-3 e^5+3 x} \left(3888 x^2+72 x^3\right)} \, dx","Integrate[(864 + 32*x - 2*x^2 + E^(-3*E^5 + 3*x)*(576 + 1728*x - 216*x^2) + E^(-6*E^5 + 6*x)*(96 + 576*x - 72*x^2))/(2916*x^2 + 432*E^(-9*E^5 + 9*x)*x^2 + 36*E^(-12*E^5 + 12*x)*x^2 + 108*x^3 + x^4 + E^(-6*E^5 + 6*x)*(1944*x^2 + 12*x^3) + E^(-3*E^5 + 3*x)*(3888*x^2 + 72*x^3)),x]","-\frac{2 e^{6 e^5} (8-x)}{x \left(e^{6 e^5} (x+54)+6 e^{6 x}+36 e^{3 \left(x+e^5\right)}\right)}","\frac{x-8}{\left(3 \left(e^{-3 \left(e^5-x\right)}+3\right)^2+\frac{x}{2}\right) x}",1,"(-2*E^(6*E^5)*(8 - x))/(x*(6*E^(6*x) + 36*E^(3*(E^5 + x)) + E^(6*E^5)*(54 + x)))","A",1
8941,1,10,12,0.000078,"\int \frac{9 e^2 x}{2} \, dx","Integrate[(9*E^2*x)/2,x]","\frac{9 e^2 x^2}{4}","\frac{9 e^2 x^2}{4}-3",1,"(9*E^2*x^2)/4","A",1
8942,1,23,22,0.0258379,"\int \frac{9 e^5+x^2+e^x \left(225-225 x-9 x^2\right)}{x^2} \, dx","Integrate[(9*E^5 + x^2 + E^x*(225 - 225*x - 9*x^2))/x^2,x]","x-9 e^x-\frac{225 e^x}{x}-\frac{9 e^5}{x}","x+\frac{9 \left(x-e^x (x+25)-e^5\right)}{x}",1,"-9*E^x - (9*E^5)/x - (225*E^x)/x + x","A",1
8943,1,15,16,0.0180236,"\int \left(2+10 e^{2-10 e^{2+x}+x}\right) \, dx","Integrate[2 + 10*E^(2 - 10*E^(2 + x) + x),x]","2 x-e^{-10 e^{x+2}}","2 x-e^{-10 e^{x+2}}+3",1,"-E^(-10*E^(2 + x)) + 2*x","A",1
8944,1,16,16,0.0072133,"\int \frac{-5 e+x^2-e^{1+x} x^2}{e x^2} \, dx","Integrate[(-5*E + x^2 - E^(1 + x)*x^2)/(E*x^2),x]","\frac{x}{e}-e^x+\frac{5}{x}","\frac{x}{e}-e^x+\frac{5}{x}",1,"-E^x + 5/x + x/E","A",1
8945,1,27,29,0.4200762,"\int \frac{\exp \left(-e^{\frac{80+e^x+36 x+24 x^2+4 x^3}{16+4 x+4 x^2}}\right) \left(64+32 x+36 x^2+8 x^3+4 x^4+e^{\frac{80+e^x+36 x+24 x^2+4 x^3}{16+4 x+4 x^2}} \left(-64 x-32 x^2-36 x^3-8 x^4-4 x^5+e^x \left(-3 x+x^2-x^3\right)\right)\right)}{16+8 x+9 x^2+2 x^3+x^4} \, dx","Integrate[(64 + 32*x + 36*x^2 + 8*x^3 + 4*x^4 + E^((80 + E^x + 36*x + 24*x^2 + 4*x^3)/(16 + 4*x + 4*x^2))*(-64*x - 32*x^2 - 36*x^3 - 8*x^4 - 4*x^5 + E^x*(-3*x + x^2 - x^3)))/(E^E^((80 + E^x + 36*x + 24*x^2 + 4*x^3)/(16 + 4*x + 4*x^2))*(16 + 8*x + 9*x^2 + 2*x^3 + x^4)),x]","4 e^{-e^{\frac{e^x}{4 \left(x^2+x+4\right)}+x+5}} x","4 e^{-e^{\frac{e^x}{4 \left(x^2+x+4\right)}+x+5}} x+3",1,"(4*x)/E^E^(5 + x + E^x/(4*(4 + x + x^2)))","A",1
8946,1,18,25,0.0137465,"\int \frac{100-40 x^2+4 x^4+e^9 \left(5 x+x^3\right)}{100 x-40 x^3+4 x^5} \, dx","Integrate[(100 - 40*x^2 + 4*x^4 + E^9*(5*x + x^3))/(100*x - 40*x^3 + 4*x^5),x]","\log (x)-\frac{e^9 x}{4 \left(x^2-5\right)}","-\frac{e^9 x}{4 \left(x^2-5\right)}+\log \left(x^2\right)-\log (x)-1",1,"-1/4*(E^9*x)/(-5 + x^2) + Log[x]","A",1
8947,1,30,26,0.0362616,"\int \frac{e^6 x^2 \left(-40+100 x-102 x^2+48 x^3-10 x^4+\left(40-50 x+34 x^2-12 x^3+2 x^4\right) \log \left(20 x-25 x^2+17 x^3-6 x^4+x^5\right)\right)}{\left(20 x-25 x^2+17 x^3-6 x^4+x^5\right) \log ^3\left(20 x-25 x^2+17 x^3-6 x^4+x^5\right)} \, dx","Integrate[(E^6*x^2*(-40 + 100*x - 102*x^2 + 48*x^3 - 10*x^4 + (40 - 50*x + 34*x^2 - 12*x^3 + 2*x^4)*Log[20*x - 25*x^2 + 17*x^3 - 6*x^4 + x^5]))/((20*x - 25*x^2 + 17*x^3 - 6*x^4 + x^5)*Log[20*x - 25*x^2 + 17*x^3 - 6*x^4 + x^5]^3),x]","\frac{e^6 x^2}{\log ^2\left(x \left(x^4-6 x^3+17 x^2-25 x+20\right)\right)}","\frac{e^6 x^2}{\log ^2\left(x \left(\left((x-2)^2+x\right)^2-x+4\right)\right)}",1,"(E^6*x^2)/Log[x*(20 - 25*x + 17*x^2 - 6*x^3 + x^4)]^2","A",1
8948,1,26,27,0.0632083,"\int \frac{-2 x+e^x \left(-x+x^2\right)+e^x \left(-x-x^2\right) \log \left(e^{-x} x\right)-4 \log \left(x^2\right)}{x} \, dx","Integrate[(-2*x + E^x*(-x + x^2) + E^x*(-x - x^2)*Log[x/E^x] - 4*Log[x^2])/x,x]","-\log ^2\left(x^2\right)-2 x-e^x x \log \left(e^{-x} x\right)","-\log ^2\left(x^2\right)-2 x-e^x x \log \left(e^{-x} x\right)+3",1,"-2*x - E^x*x*Log[x/E^x] - Log[x^2]^2","A",1
8949,1,26,31,0.0177606,"\int \frac{-192+96 x-60 x^2-104 x^3+13 x^4-32 x^5+4 x^6+\frac{1}{4} e \left(4+x^2\right) \left(-128 x^3+64 x^4-8 x^5\right)}{256 x^2-128 x^3+80 x^4-32 x^5+4 x^6} \, dx","Integrate[(-192 + 96*x - 60*x^2 - 104*x^3 + 13*x^4 - 32*x^5 + 4*x^6 + (E*(4 + x^2)*(-128*x^3 + 64*x^4 - 8*x^5))/4)/(256*x^2 - 128*x^3 + 80*x^4 - 32*x^5 + 4*x^6),x]","\frac{1}{4} \left(-e x^2+4 x+\frac{64}{x-4}+\frac{3}{x}\right)","-\frac{x^2}{4-x}-\frac{1}{4} e \left(x^2+4\right)+\frac{3}{4 x}+e",1,"(64/(-4 + x) + 3/x + 4*x - E*x^2)/4","A",1
8950,1,16,17,0.5888088,"\int \exp \left(3 e^x+e^{3 e^x-12 x \log (3)} x-12 x \log (3)\right) \left(1+3 e^x x-12 x \log (3)\right) \, dx","Integrate[E^(3*E^x + E^(3*E^x - 12*x*Log[3])*x - 12*x*Log[3])*(1 + 3*E^x*x - 12*x*Log[3]),x]","e^{3^{-12 x} e^{3 e^x} x}","e^{x e^{3 \left(e^x-4 x \log (3)\right)}}",1,"E^((E^(3*E^x)*x)/3^(12*x))","A",1
8951,1,21,23,0.1503556,"\int \frac{-6640625-516 x^4+\left(796875+20 x^4\right) \log \left(x^2\right)-31875 \log ^2\left(x^2\right)+425 \log ^3\left(x^2\right)}{-390625+46875 \log \left(x^2\right)-1875 \log ^2\left(x^2\right)+25 \log ^3\left(x^2\right)} \, dx","Integrate[(-6640625 - 516*x^4 + (796875 + 20*x^4)*Log[x^2] - 31875*Log[x^2]^2 + 425*Log[x^2]^3)/(-390625 + 46875*Log[x^2] - 1875*Log[x^2]^2 + 25*Log[x^2]^3),x]","\frac{1}{25} \left(\frac{4 x^5}{\left(\log \left(x^2\right)-25\right)^2}+425 x\right)","4 x \left(\frac{x^4}{25 \left(\log \left(x^2\right)-25\right)^2}+4\right)+x+2",1,"(425*x + (4*x^5)/(-25 + Log[x^2])^2)/25","A",1
8952,1,21,21,0.4996936,"\int \frac{e^{\frac{e^{3+x} (25-x)+e^{x^2} x}{x}} \left(2 e^{x^2} x^3+e^{3+x} \left(-25+25 x-x^2\right)\right)}{x^2} \, dx","Integrate[(E^((E^(3 + x)*(25 - x) + E^x^2*x)/x)*(2*E^x^2*x^3 + E^(3 + x)*(-25 + 25*x - x^2)))/x^2,x]","e^{e^{x^2}-\frac{e^{x+3} (x-25)}{x}}","e^{e^{x^2}-\frac{e^{x+3} (x-25)}{x}}",1,"E^(E^x^2 - (E^(3 + x)*(-25 + x))/x)","A",1
8953,1,13,13,0.0074329,"\int \frac{e^x}{-1080-135 e^5+e^x} \, dx","Integrate[E^x/(-1080 - 135*E^5 + E^x),x]","\log \left(-e^x+1080+135 e^5\right)","\log \left(-\frac{e^x}{135}+8+e^5\right)",1,"Log[1080 + 135*E^5 - E^x]","A",1
8954,1,29,25,0.1556041,"\int \frac{-2+e^{\frac{1}{2} \left(x+x^3\right)} \left(-6+3 x-x^2+(9-3 x) x^3\right)+2 \log (x)+\left(e^{\frac{1}{2} \left(x+x^3\right)} (-6+2 x)+2 \log (x)\right) \log \left(\frac{x}{e^{\frac{1}{2} \left(x+x^3\right)} (-3+x)+\log (x)}\right)}{e^{\frac{1}{2} \left(x+x^3\right)} (-6+2 x)+2 \log (x)} \, dx","Integrate[(-2 + E^((x + x^3)/2)*(-6 + 3*x - x^2 + (9 - 3*x)*x^3) + 2*Log[x] + (E^((x + x^3)/2)*(-6 + 2*x) + 2*Log[x])*Log[x/(E^((x + x^3)/2)*(-3 + x) + Log[x])])/(E^((x + x^3)/2)*(-6 + 2*x) + 2*Log[x]),x]","x \log \left(\frac{x}{e^{\frac{x^3}{2}+\frac{x}{2}} (x-3)+\log (x)}\right)","x \log \left(\frac{x}{e^{\frac{1}{2} \left(x^3+x\right)} (x-3)+\log (x)}\right)",1,"x*Log[x/(E^(x/2 + x^3/2)*(-3 + x) + Log[x])]","A",1
8955,1,21,21,0.2261506,"\int \frac{(-8+2 x) \log (5 x)+((-8+2 x) \log (x)+(-16+2 x) \log (x) \log (5 x)) \log (\log (x))}{x^3 \log (x) \log ^2(5 x) \log ^2(\log (x))} \, dx","Integrate[((-8 + 2*x)*Log[5*x] + ((-8 + 2*x)*Log[x] + (-16 + 2*x)*Log[x]*Log[5*x])*Log[Log[x]])/(x^3*Log[x]*Log[5*x]^2*Log[Log[x]]^2),x]","\frac{2 (4-x)}{x^2 \log (5 x) \log (\log (x))}","4-\frac{2 (x-4)}{x^2 \log (5 x) \log (\log (x))}",1,"(2*(4 - x))/(x^2*Log[5*x]*Log[Log[x]])","A",1
8956,1,27,28,0.0412387,"\int \frac{100+4 e^{10}+4 e^{2 x}-360 x+334 x^2-9 x^3+e^5 \left(-40+72 x-2 x^2\right)+e^x \left(-40+8 e^5+72 x-2 x^2+x^3\right)}{100 x+4 e^{10} x+4 e^{2 x} x-360 x^2+324 x^3+e^5 \left(-40 x+72 x^2\right)+e^x \left(-40 x+8 e^5 x+72 x^2\right)} \, dx","Integrate[(100 + 4*E^10 + 4*E^(2*x) - 360*x + 334*x^2 - 9*x^3 + E^5*(-40 + 72*x - 2*x^2) + E^x*(-40 + 8*E^5 + 72*x - 2*x^2 + x^3))/(100*x + 4*E^10*x + 4*E^(2*x)*x - 360*x^2 + 324*x^3 + E^5*(-40*x + 72*x^2) + E^x*(-40*x + 8*E^5*x + 72*x^2)),x]","\frac{1}{4} \left(4 \log (x)-\frac{x^2}{9 x+e^x+e^5-5}\right)","\log \left(e^{-\frac{x}{4 \left(\frac{e^x-5+e^5}{x}+9\right)}} x\right)+2",1,"(-(x^2/(-5 + E^5 + E^x + 9*x)) + 4*Log[x])/4","A",1
8957,1,28,28,0.1390036,"\int \frac{\left(-7+5 x^2\right) \log \left(\frac{1}{5} \left(7-5 x^2\right)\right)+\left(10 x^2+\left(7-5 x^2\right) \log \left(\frac{1}{5} \left(7-5 x^2\right)\right)+\log \left(\frac{5}{x}\right) \left(10 x^2+\left(7-5 x^2\right) \log \left(\frac{1}{5} \left(7-5 x^2\right)\right)\right)\right) \log \left(1+\log \left(\frac{5}{x}\right)\right)+\left(-7 x+5 x^3+\left(-7 x+5 x^3\right) \log \left(\frac{5}{x}\right)\right) \log ^2\left(1+\log \left(\frac{5}{x}\right)\right)}{\left(-7 x^2+5 x^4+\left(-7 x^2+5 x^4\right) \log \left(\frac{5}{x}\right)\right) \log ^2\left(1+\log \left(\frac{5}{x}\right)\right)} \, dx","Integrate[((-7 + 5*x^2)*Log[(7 - 5*x^2)/5] + (10*x^2 + (7 - 5*x^2)*Log[(7 - 5*x^2)/5] + Log[5/x]*(10*x^2 + (7 - 5*x^2)*Log[(7 - 5*x^2)/5]))*Log[1 + Log[5/x]] + (-7*x + 5*x^3 + (-7*x + 5*x^3)*Log[5/x])*Log[1 + Log[5/x]]^2)/((-7*x^2 + 5*x^4 + (-7*x^2 + 5*x^4)*Log[5/x])*Log[1 + Log[5/x]]^2),x]","\frac{\log \left(\frac{7}{5}-x^2\right)}{x \log \left(\log \left(\frac{5}{x}\right)+1\right)}+\log (x)","\frac{\log \left(\frac{7}{5}-x^2\right)}{x \log \left(\log \left(\frac{5}{x}\right)+1\right)}+\log (x)",1,"Log[x] + Log[7/5 - x^2]/(x*Log[1 + Log[5/x]])","A",1
8958,1,28,27,0.0260888,"\int \frac{e^{e^5-x} \left(e^3 \left(-x^2+x^3\right)+e^{-e^5+x} \left(3+9 x^4\right)\right)}{3 x^2} \, dx","Integrate[(E^(E^5 - x)*(E^3*(-x^2 + x^3) + E^(-E^5 + x)*(3 + 9*x^4)))/(3*x^2),x]","\frac{1}{3} \left(3 x^3-e^{-x+e^5+3} x-\frac{3}{x}\right)","x^3-\frac{1}{3} e^{-x+e^5+3} x+\frac{x-1}{x}+3",1,"(-3/x - E^(3 + E^5 - x)*x + 3*x^3)/3","A",1
8959,1,39,23,0.007132,"\int \frac{800+e^5 (20-200 x)+1000 x+e^{10} (-10+12 x)}{e^{10}} \, dx","Integrate[(800 + E^5*(20 - 200*x) + 1000*x + E^10*(-10 + 12*x))/E^10,x]","2 \left(-\frac{50 x^2}{e^5}+\frac{250 x^2}{e^{10}}+3 x^2+\frac{10 x}{e^5}+\frac{400 x}{e^{10}}-5 x\right)","x^2+5 \left(-x+\frac{10 \left(x+\frac{4}{5}\right)}{e^5}+1\right)^2",1,"2*(-5*x + (400*x)/E^10 + (10*x)/E^5 + 3*x^2 + (250*x^2)/E^10 - (50*x^2)/E^5)","A",1
8960,1,25,24,0.1922189,"\int \frac{-8 e^{\frac{1}{4} \left(4 x^3+x^3 \log (5)\right)} x+e^{\frac{1}{2} \left(4 x^3+x^3 \log (5)\right)} \left(60 x^2+12 x^4+\left(15 x^2+3 x^4\right) \log (5)\right)+\left(8 x+e^{\frac{1}{4} \left(4 x^3+x^3 \log (5)\right)} \left(-60 x^2-12 x^4+\left(-15 x^2-3 x^4\right) \log (5)\right)\right) \log \left(5+x^2\right)}{10+2 x^2} \, dx","Integrate[(-8*E^((4*x^3 + x^3*Log[5])/4)*x + E^((4*x^3 + x^3*Log[5])/2)*(60*x^2 + 12*x^4 + (15*x^2 + 3*x^4)*Log[5]) + (8*x + E^((4*x^3 + x^3*Log[5])/4)*(-60*x^2 - 12*x^4 + (-15*x^2 - 3*x^4)*Log[5]))*Log[5 + x^2])/(10 + 2*x^2),x]","\left(\log \left(x^2+5\right)-5^{\frac{x^3}{4}} e^{x^3}\right)^2","\left(\log \left(x^2+5\right)-e^{\frac{1}{4} x^3 (4+\log (5))}\right)^2",1,"(-(5^(x^3/4)*E^x^3) + Log[5 + x^2])^2","A",1
8961,1,31,26,0.1200934,"\int \frac{9+18 x^2-72 x^3+90 x^4-36 x^5+e^x \left(9-9 x+18 x^2-54 x^3+36 x^4\right)}{x+e^x x-x^2} \, dx","Integrate[(9 + 18*x^2 - 72*x^3 + 90*x^4 - 36*x^5 + E^x*(9 - 9*x + 18*x^2 - 54*x^3 + 36*x^4))/(x + E^x*x - x^2),x]","-9 \left(-x^4+2 x^3-x^2+\log \left(-x+e^x+1\right)-\log (x)\right)","9 \log \left(\frac{e^{\left(x-x^2\right)^2} x}{-x+e^x+1}\right)",1,"-9*(-x^2 + 2*x^3 - x^4 + Log[1 + E^x - x] - Log[x])","A",1
8962,1,9,9,0.0035724,"\int 1024 e^{-4+4 x} \, dx","Integrate[1024*E^(-4 + 4*x),x]","256 e^{4 x-4}","256 e^{4 x-4}",1,"256*E^(-4 + 4*x)","A",1
8963,1,40,24,0.7207601,"\int \frac{13122+34992 x+40824 x^2+27216 x^3+11340 x^4+3024 x^5+504 x^6+48 x^7+2 x^8+\left(162+216 x+108 x^2+24 x^3+2 x^4\right) \log (4 x)+\left(81+324 x+378 x^2+192 x^3+45 x^4+4 x^5\right) \log ^2(4 x)+2 x^2 \log ^4(4 x)}{6561+17496 x+20412 x^2+13608 x^3+5670 x^4+1512 x^5+252 x^6+24 x^7+x^8+\left(162 x+216 x^2+108 x^3+24 x^4+2 x^5\right) \log ^2(4 x)+x^2 \log ^4(4 x)} \, dx","Integrate[(13122 + 34992*x + 40824*x^2 + 27216*x^3 + 11340*x^4 + 3024*x^5 + 504*x^6 + 48*x^7 + 2*x^8 + (162 + 216*x + 108*x^2 + 24*x^3 + 2*x^4)*Log[4*x] + (81 + 324*x + 378*x^2 + 192*x^3 + 45*x^4 + 4*x^5)*Log[4*x]^2 + 2*x^2*Log[4*x]^4)/(6561 + 17496*x + 20412*x^2 + 13608*x^3 + 5670*x^4 + 1512*x^5 + 252*x^6 + 24*x^7 + x^8 + (162*x + 216*x^2 + 108*x^3 + 24*x^4 + 2*x^5)*Log[4*x]^2 + x^2*Log[4*x]^4),x]","\frac{2 x^2 \log ^2(4 x)+(2 x-1) (x+3)^4}{(x+3)^4+x \log ^2(4 x)}","2 x+\frac{x}{x+\frac{(-x-3)^4}{\log ^2(4 x)}}",1,"((3 + x)^4*(-1 + 2*x) + 2*x^2*Log[4*x]^2)/((3 + x)^4 + x*Log[4*x]^2)","A",1
8964,1,9,9,0.0000683,"\int \frac{1}{7+e^{64}} \, dx","Integrate[(7 + E^64)^(-1),x]","\frac{x}{7+e^{64}}","\frac{x}{7+e^{64}}",1,"x/(7 + E^64)","A",1
8965,1,32,38,0.4802512,"\int \frac{e^x \left(4 x-8 x^2\right)+e \left(-2 x^2-x^3\right)+\left(-4 e^x x+e \left(-4 x-2 x^2\right)\right) \log \left(\frac{2}{x}\right)+e (-2-x) \log ^2\left(\frac{2}{x}\right)}{5 e^{1+x} x^5+10 e^{1+x} x^4 \log \left(\frac{2}{x}\right)+5 e^{1+x} x^3 \log ^2\left(\frac{2}{x}\right)} \, dx","Integrate[(E^x*(4*x - 8*x^2) + E*(-2*x^2 - x^3) + (-4*E^x*x + E*(-4*x - 2*x^2))*Log[2/x] + E*(-2 - x)*Log[2/x]^2)/(5*E^(1 + x)*x^5 + 10*E^(1 + x)*x^4*Log[2/x] + 5*E^(1 + x)*x^3*Log[2/x]^2),x]","\frac{1}{5} \left(\frac{e^{-x}}{x^2}+\frac{4}{e x \left(x+\log \left(\frac{2}{x}\right)\right)}\right)","\frac{\frac{x+\frac{e^{1-x}}{x}+\frac{4}{x+\log \left(\frac{2}{x}\right)}}{5 x}+2}{e}",1,"(1/(E^x*x^2) + 4/(E*x*(x + Log[2/x])))/5","A",1
8966,1,48,37,0.1189484,"\int \frac{5 e^{8+18 x} x^2+5 x^4+e^{\left.\frac{2}{5}\right/x} \left(-9 x+15 x^2\right)+e^{4+9 x} \left(10 x^3+e^{\left.\frac{2}{5}\right/x} \left(6+135 x^2\right)\right)+\left(-6 e^{\left.\frac{2}{5}\right/x}-10 e^{4+9 x} x^2-10 x^3\right) \log (x)+5 x^2 \log ^2(x)}{60 e^{8+18 x} x^2+120 e^{4+9 x} x^3+60 x^4+\left(-120 e^{4+9 x} x^2-120 x^3\right) \log (x)+60 x^2 \log ^2(x)} \, dx","Integrate[(5*E^(8 + 18*x)*x^2 + 5*x^4 + E^(2/(5*x))*(-9*x + 15*x^2) + E^(4 + 9*x)*(10*x^3 + E^(2/(5*x))*(6 + 135*x^2)) + (-6*E^(2/(5*x)) - 10*E^(4 + 9*x)*x^2 - 10*x^3)*Log[x] + 5*x^2*Log[x]^2)/(60*E^(8 + 18*x)*x^2 + 120*E^(4 + 9*x)*x^3 + 60*x^4 + (-120*E^(4 + 9*x)*x^2 - 120*x^3)*Log[x] + 60*x^2*Log[x]^2),x]","\frac{x^2+e^{9 x+4} x-3 e^{\left.\frac{2}{5}\right/x}-x \log (x)}{12 \left(x+e^{9 x+4}-\log (x)\right)}","\frac{1}{4} \left(\frac{x}{3}+\frac{e^{\left.\frac{2}{5}\right/x}}{-x-e^{9 x+4}+\log (x)}\right)",1,"(-3*E^(2/(5*x)) + E^(4 + 9*x)*x + x^2 - x*Log[x])/(12*(E^(4 + 9*x) + x - Log[x]))","A",1
8967,1,28,30,0.1056086,"\int \frac{e^{\frac{1}{9} \left(-1-e^{2 x+x \log (2+x)}-10 x\right)} \left(90-55 x-50 x^2+e^{2 x+x \log (2+x)} \left(-20 x-15 x^2+\left(-10 x-5 x^2\right) \log (2+x)\right)\right)}{18+9 x} \, dx","Integrate[(E^((-1 - E^(2*x + x*Log[2 + x]) - 10*x)/9)*(90 - 55*x - 50*x^2 + E^(2*x + x*Log[2 + x])*(-20*x - 15*x^2 + (-10*x - 5*x^2)*Log[2 + x])))/(18 + 9*x),x]","5 e^{-\frac{1}{9} e^{2 x} (x+2)^x-\frac{10 x}{9}-\frac{1}{9}} x","5 x e^{\frac{1}{9} \left(-x-e^{x (\log (x+2)+2)}-1\right)-x}",1,"5*E^(-1/9 - (10*x)/9 - (E^(2*x)*(2 + x)^x)/9)*x","A",1
8968,1,33,30,0.2825566,"\int \frac{1}{3} e^{-\frac{1}{3} e^{e^5} \left(e^{4-e^3 x}+x\right)} \left(3+3 e^{\frac{1}{3} e^{e^5} \left(e^{4-e^3 x}+x\right)}+e^{e^5} \left(3+e^{7-e^3 x} (-3+x)-x\right)\right) \, dx","Integrate[(3 + 3*E^((E^E^5*(E^(4 - E^3*x) + x))/3) + E^E^5*(3 + E^(7 - E^3*x)*(-3 + x) - x))/(3*E^((E^E^5*(E^(4 - E^3*x) + x))/3)),x]","e^{\frac{1}{3} e^{e^5} \left(-x-e^{4-e^3 x}\right)} (x-3)+x","e^{-\frac{1}{3} e^{e^5} \left(x+e^{4-e^3 x}\right)} (x-3)+x+1",1,"E^((E^E^5*(-E^(4 - E^3*x) - x))/3)*(-3 + x) + x","A",1
8969,1,32,29,0.5533279,"\int \frac{1}{2} \left(2+\exp \left(2+2 x+e^{2 x} (2+2 x)+(-2-2 x) \log (x)\right) \left(-1+e^{2 x} \left(6 x+4 x^2\right)-2 x \log (x)\right)\right) \, dx","Integrate[(2 + E^(2 + 2*x + E^(2*x)*(2 + 2*x) + (-2 - 2*x)*Log[x])*(-1 + E^(2*x)*(6*x + 4*x^2) - 2*x*Log[x]))/2,x]","\frac{1}{2} e^{2 x+2 e^{2 x} (x+1)+2} x^{1-2 (x+1)}+x","\frac{1}{2} x \left(e^{\left(\frac{2}{x}+2\right) x \left(e^{2 x}-\log (x)+1\right)}+2\right)",1,"x + (E^(2 + 2*x + 2*E^(2*x)*(1 + x))*x^(1 - 2*(1 + x)))/2","A",1
8970,1,26,30,0.0861258,"\int \frac{-48+64 e+32 x+e^{x^2} \left(48-64 e-32 x+128 x^2\right)+\left(-64+64 e^{x^2}\right) \log \left(-x+e^{x^2} x\right)}{-x^2-16 e^2 x^2-2 x^3-x^4+e \left(-8 x^2-8 x^3\right)+e^{x^2} \left(x^2+16 e^2 x^2+2 x^3+x^4+e \left(8 x^2+8 x^3\right)\right)+\left(8 x^2+32 e x^2+8 x^3+e^{x^2} \left(-8 x^2-32 e x^2-8 x^3\right)\right) \log \left(-x+e^{x^2} x\right)+\left(-16 x^2+16 e^{x^2} x^2\right) \log ^2\left(-x+e^{x^2} x\right)} \, dx","Integrate[(-48 + 64*E + 32*x + E^x^2*(48 - 64*E - 32*x + 128*x^2) + (-64 + 64*E^x^2)*Log[-x + E^x^2*x])/(-x^2 - 16*E^2*x^2 - 2*x^3 - x^4 + E*(-8*x^2 - 8*x^3) + E^x^2*(x^2 + 16*E^2*x^2 + 2*x^3 + x^4 + E*(8*x^2 + 8*x^3)) + (8*x^2 + 32*E*x^2 + 8*x^3 + E^x^2*(-8*x^2 - 32*E*x^2 - 8*x^3))*Log[-x + E^x^2*x] + (-16*x^2 + 16*E^x^2*x^2)*Log[-x + E^x^2*x]^2),x]","\frac{16}{x^2-4 x \log \left(\left(e^{x^2}-1\right) x\right)+4 e x+x}","\frac{4}{x \left(-\log \left(e^{x^2} x-x\right)+\frac{x+1}{4}+e\right)}",1,"16/(x + 4*E*x + x^2 - 4*x*Log[(-1 + E^x^2)*x])","A",1
8971,1,144,37,0.2187549,"\int \frac{25 e^{2 e^3}+125 x^4-100 x^5+e^{e^3} \left(150 x^2-100 x^3\right)+e^{2 e^{x+x^2}} \left(5 x^4-4 x^5+e^{x+x^2} \left(2 x^5+2 x^6-4 x^7\right)+e^{2 e^3} \left(1+e^{x+x^2} \left(2 x+2 x^2-4 x^3\right)\right)+e^{e^3} \left(6 x^2-4 x^3+e^{x+x^2} \left(4 x^3+4 x^4-8 x^5\right)\right)\right)+e^{e^{x+x^2}} \left(-50 x^4+40 x^5+e^{x+x^2} \left(-10 x^5-10 x^6+20 x^7\right)+e^{2 e^3} \left(-10+e^{x+x^2} \left(-10 x-10 x^2+20 x^3\right)\right)+e^{e^3} \left(-60 x^2+40 x^3+e^{x+x^2} \left(-20 x^3-20 x^4+40 x^5\right)\right)\right)}{1-2 x+x^2} \, dx","Integrate[(25*E^(2*E^3) + 125*x^4 - 100*x^5 + E^E^3*(150*x^2 - 100*x^3) + E^(2*E^(x + x^2))*(5*x^4 - 4*x^5 + E^(x + x^2)*(2*x^5 + 2*x^6 - 4*x^7) + E^(2*E^3)*(1 + E^(x + x^2)*(2*x + 2*x^2 - 4*x^3)) + E^E^3*(6*x^2 - 4*x^3 + E^(x + x^2)*(4*x^3 + 4*x^4 - 8*x^5))) + E^E^(x + x^2)*(-50*x^4 + 40*x^5 + E^(x + x^2)*(-10*x^5 - 10*x^6 + 20*x^7) + E^(2*E^3)*(-10 + E^(x + x^2)*(-10*x - 10*x^2 + 20*x^3)) + E^E^3*(-60*x^2 + 40*x^3 + E^(x + x^2)*(-20*x^3 - 20*x^4 + 40*x^5))))/(1 - 2*x + x^2),x]","-\frac{25 \left(x^5-x+1\right)+50 e^{e^3} \left(x^3-x+1\right)+e^{2 \left(e^{x^2+x}+e^3\right)} x-10 e^{e^{x^2+x}+2 e^3} x-10 e^{e^{x^2+x}} x^5+e^{2 e^{x^2+x}} x^5-20 e^{e^{x^2+x}+e^3} x^3+2 e^{2 e^{x^2+x}+e^3} x^3+25 e^{2 e^3}}{x-1}","\frac{\left(e^{e^{x^2+x}}-5\right)^2 x^2 \left(x^2+e^{e^3}\right)^2}{x-x^2}",1,"-((25*E^(2*E^3) + E^(2*(E^3 + E^(x + x^2)))*x - 10*E^(2*E^3 + E^(x + x^2))*x - 20*E^(E^3 + E^(x + x^2))*x^3 + 2*E^(E^3 + 2*E^(x + x^2))*x^3 - 10*E^E^(x + x^2)*x^5 + E^(2*E^(x + x^2))*x^5 + 50*E^E^3*(1 - x + x^3) + 25*(1 - x + x^5))/(-1 + x))","B",1
8972,1,17,17,0.0120856,"\int \frac{1-144 x-96 x^2+\left(-720 x-480 x^2\right) \log (5)+\left(-900 x-600 x^2\right) \log ^2(5)}{x} \, dx","Integrate[(1 - 144*x - 96*x^2 + (-720*x - 480*x^2)*Log[5] + (-900*x - 600*x^2)*Log[5]^2)/x,x]","\log (x)-12 x (x+3) (2+5 \log (5))^2","\log (x)-12 x (x+3) (2+5 \log (5))^2",1,"-12*x*(3 + x)*(2 + 5*Log[5])^2 + Log[x]","A",1
8973,1,13,15,0.0009556,"\int \frac{-196 e-196 e^3}{e^2 x^2} \, dx","Integrate[(-196*E - 196*E^3)/(E^2*x^2),x]","\frac{196 \left(1+e^2\right)}{e x}","\frac{196 e \left(\frac{x+1}{e^2}+1\right)}{x}",1,"(196*(1 + E^2))/(E*x)","A",1
8974,1,16,30,0.0234207,"\int \frac{e^{-3+x}+10 x+e^{-3+x} x \log (x)}{5 x} \, dx","Integrate[(E^(-3 + x) + 10*x + E^(-3 + x)*x*Log[x])/(5*x),x]","\frac{1}{5} \left(10 x+e^{x-3} \log (x)\right)","-\log \left(e^{-2 x-2 e^3+8}\right)+\frac{1}{5} e^{x-3} \log (x)+1+\log (5)",1,"(10*x + E^(-3 + x)*Log[x])/5","A",1
8975,1,22,22,0.1340697,"\int \frac{e^{4-x} \left(4+(-4-2 x) \log \left(\frac{4}{x^2}\right)\right)}{5 x^3 \log ^2\left(\frac{4}{x^2}\right)} \, dx","Integrate[(E^(4 - x)*(4 + (-4 - 2*x)*Log[4/x^2]))/(5*x^3*Log[4/x^2]^2),x]","\frac{2 e^{4-x}}{5 x^2 \log \left(\frac{4}{x^2}\right)}","\frac{2 e^{4-x}}{5 x^2 \log \left(\frac{4}{x^2}\right)}",1,"(2*E^(4 - x))/(5*x^2*Log[4/x^2])","A",1
8976,1,36,24,0.4593859,"\int \frac{e^{\frac{4 e^2+x^2+e^2 \log (x)}{e^2}} \left(12 x^2+4 x^4+e^2 \left(6+6 x^2\right)\right)}{e^5 x+e^{2+\frac{4 e^2+x^2+e^2 \log (x)}{e^2}} \left(6 x+2 x^3\right)} \, dx","Integrate[(E^((4*E^2 + x^2 + E^2*Log[x])/E^2)*(12*x^2 + 4*x^4 + E^2*(6 + 6*x^2)))/(E^5*x + E^(2 + (4*E^2 + x^2 + E^2*Log[x])/E^2)*(6*x + 2*x^3)),x]","\frac{\frac{x^2}{e}+e \log \left(2 e x^3+e^{-\frac{x^2}{e^2}}+6 e x\right)}{e}","\log \left(2 e^{\frac{x^2}{e^2}+4} x \left(x^2+3\right)+e^3\right)",1,"(x^2/E + E*Log[E^(-(x^2/E^2)) + 6*E*x + 2*E*x^3])/E","A",1
8977,1,18,18,0.7457943,"\int \frac{e^{-4 x^2} \left(2 x^4+\left(12 x^3-4 x^4-24 x^5+8 x^6\right) \log (-3+x)\right)}{(-3+x) \log ^3(-3+x)} \, dx","Integrate[(2*x^4 + (12*x^3 - 4*x^4 - 24*x^5 + 8*x^6)*Log[-3 + x])/(E^(4*x^2)*(-3 + x)*Log[-3 + x]^3),x]","-\frac{e^{-4 x^2} x^4}{\log ^2(x-3)}","-\frac{e^{-4 x^2} x^4}{\log ^2(x-3)}",1,"-(x^4/(E^(4*x^2)*Log[-3 + x]^2))","A",1
8978,1,34,15,0.0032839,"\int \left(5+e^8 (40-20 x)+e^{16} \left(-40 x+15 x^2\right)\right) \, dx","Integrate[5 + E^8*(40 - 20*x) + E^16*(-40*x + 15*x^2),x]","5 e^{16} x^3-20 e^{16} x^2-10 e^8 x^2+40 e^8 x+5 x","5 (x-4) \left(1-e^8 x\right)^2",1,"5*x + 40*E^8*x - 10*E^8*x^2 - 20*E^16*x^2 + 5*E^16*x^3","B",1
8979,1,33,26,0.2063696,"\int \frac{\left(-1920 x-576 x^2+e^{4/x} \left(640 x+192 x^2\right)\right) \log \left(-3+e^{4/x}\right) \log \left(\log \left(-3+e^{4/x}\right)\right)+512 e^{4/x} \log \left(\frac{5}{\log \left(\log \left(-3+e^{4/x}\right)\right)}\right)+\left(-384 x+128 e^{4/x} x\right) \log \left(-3+e^{4/x}\right) \log \left(\log \left(-3+e^{4/x}\right)\right) \log ^2\left(\frac{5}{\log \left(\log \left(-3+e^{4/x}\right)\right)}\right)}{\left(-3+e^{4/x}\right) \log \left(-3+e^{4/x}\right) \log \left(\log \left(-3+e^{4/x}\right)\right)} \, dx","Integrate[((-1920*x - 576*x^2 + E^(4/x)*(640*x + 192*x^2))*Log[-3 + E^(4/x)]*Log[Log[-3 + E^(4/x)]] + 512*E^(4/x)*Log[5/Log[Log[-3 + E^(4/x)]]] + (-384*x + 128*E^(4/x)*x)*Log[-3 + E^(4/x)]*Log[Log[-3 + E^(4/x)]]*Log[5/Log[Log[-3 + E^(4/x)]]]^2)/((-3 + E^(4/x))*Log[-3 + E^(4/x)]*Log[Log[-3 + E^(4/x)]]),x]","64 \left(x^3+5 x^2+x^2 \log ^2\left(\frac{5}{\log \left(\log \left(e^{4/x}-3\right)\right)}\right)\right)","64 x^2 \left(x+\log ^2\left(\frac{5}{\log \left(\log \left(e^{4/x}-3\right)\right)}\right)+5\right)",1,"64*(5*x^2 + x^3 + x^2*Log[5/Log[Log[-3 + E^(4/x)]]]^2)","A",1
8980,1,23,25,0.671303,"\int \frac{-60+20 x+40 x^2-32 x^3+(-20+20 x) \log \left(1-2 x+x^2\right)}{-225+1515 x-3379 x^2+2777 x^3-752 x^4+64 x^5+\left(-150+610 x-626 x^2+182 x^3-16 x^4\right) \log \left(1-2 x+x^2\right)+\left(-25+35 x-11 x^2+x^3\right) \log ^2\left(1-2 x+x^2\right)} \, dx","Integrate[(-60 + 20*x + 40*x^2 - 32*x^3 + (-20 + 20*x)*Log[1 - 2*x + x^2])/(-225 + 1515*x - 3379*x^2 + 2777*x^3 - 752*x^4 + 64*x^5 + (-150 + 610*x - 626*x^2 + 182*x^3 - 16*x^4)*Log[1 - 2*x + x^2] + (-25 + 35*x - 11*x^2 + x^3)*Log[1 - 2*x + x^2]^2),x]","-\frac{4 x}{(x-5) \left(-8 (x-1)+\log \left((x-1)^2\right)-5\right)}","\frac{4 x}{(x-5) \left(8 x-\log \left((1-x)^2\right)-3\right)}",1,"(-4*x)/((-5 + x)*(-5 - 8*(-1 + x) + Log[(-1 + x)^2]))","A",1
8981,1,27,28,0.0726961,"\int \left(250+10 x+e^{30 x-21 x^2+3 x^3} \left(270-378 x+81 x^2\right)\right) \, dx","Integrate[250 + 10*x + E^(30*x - 21*x^2 + 3*x^3)*(270 - 378*x + 81*x^2),x]","5 x^2+9 e^{3 x^3-21 x^2+30 x}+250 x","9 e^{6 (5-x) \left(x-\frac{x^2}{2}\right)}+5 (x+25)^2",1,"9*E^(30*x - 21*x^2 + 3*x^3) + 250*x + 5*x^2","A",1
8982,1,44,26,0.2231683,"\int e^{-4-x} \left(-9 e^2+e^{2 x}-4 e^{x+x^2} x+3 e^{1+x^2} (-2+4 x)+e^{2 x^2} (-1+4 x)\right) \, dx","Integrate[E^(-4 - x)*(-9*E^2 + E^(2*x) - 4*E^(x + x^2)*x + 3*E^(1 + x^2)*(-2 + 4*x) + E^(2*x^2)*(-1 + 4*x)),x]","e^{-x-4} \left(e^{2 x^2}+6 e^{x^2+1}-2 e^{x^2+x}+e^{2 x}+9 e^2\right)","e^{-x-4} \left(e^{x^2}-e^x+3 e\right)^2+2",1,"E^(-4 - x)*(9*E^2 + E^(2*x) + E^(2*x^2) + 6*E^(1 + x^2) - 2*E^(x + x^2))","A",1
8983,1,36,32,0.1734971,"\int \frac{-2+4 x^2-2 x^3+e^x \left(-2 x-4 x^2+x^4+2 x^5+e^3 \left(4 x-2 x^4\right)\right)+e^x \left(-x-3 x^2-x^3+2 x^4+e^3 \left(2 x+2 x^2-2 x^3\right)\right) \log \left(1+x-x^2\right)+\log (x) \left(e^x \left(4 x-2 x^4\right)+e^x \left(2 x+2 x^2-2 x^3\right) \log \left(1+x-x^2\right)\right)}{x+3 x^2+x^3-2 x^4+e^3 \left(-2 x-2 x^2+2 x^3\right)+\left(-2 x-2 x^2+2 x^3\right) \log (x)} \, dx","Integrate[(-2 + 4*x^2 - 2*x^3 + E^x*(-2*x - 4*x^2 + x^4 + 2*x^5 + E^3*(4*x - 2*x^4)) + E^x*(-x - 3*x^2 - x^3 + 2*x^4 + E^3*(2*x + 2*x^2 - 2*x^3))*Log[1 + x - x^2] + Log[x]*(E^x*(4*x - 2*x^4) + E^x*(2*x + 2*x^2 - 2*x^3)*Log[1 + x - x^2]))/(x + 3*x^2 + x^3 - 2*x^4 + E^3*(-2*x - 2*x^2 + 2*x^3) + (-2*x - 2*x^2 + 2*x^3)*Log[x]),x]","-e^x \log \left(-x^2+x+1\right)-e^x x+\log \left(2 x-2 \log (x)-2 e^3+1\right)","\log \left(x-\log (x)-e^3+\frac{1}{2}\right)-e^x \left(\log \left(-x^2+x+1\right)+x\right)",1,"-(E^x*x) - E^x*Log[1 + x - x^2] + Log[1 - 2*E^3 + 2*x - 2*Log[x]]","A",1
8984,1,29,25,0.0743754,"\int \frac{-3-7 x^2+9 x^3-2 x^4+3 x^5+\left(3-9 x-16 x^2-12 x^3-9 x^4+3 x^5\right) \log (x)}{-x^2+3 x^3-3 x^4+x^5} \, dx","Integrate[(-3 - 7*x^2 + 9*x^3 - 2*x^4 + 3*x^5 + (3 - 9*x - 16*x^2 - 12*x^3 - 9*x^4 + 3*x^5)*Log[x])/(-x^2 + 3*x^3 - 3*x^4 + x^5),x]","\frac{\left(3 x^4+x^3+10 x^2+3 x+3\right) \log (x)}{(x-1)^2 x}","\frac{\left(\left(\frac{1}{x^2}+2\right) x+x+1\right) \left(x^2+3\right) \log (x)}{(1-x)^2}",1,"((3 + 3*x + 10*x^2 + x^3 + 3*x^4)*Log[x])/((-1 + x)^2*x)","A",1
8985,1,23,34,0.0977629,"\int \frac{-150+e^x \left(-28+8 x+4 x^2\right)+40 \log (4)}{15-30 x+15 x^2} \, dx","Integrate[(-150 + E^x*(-28 + 8*x + 4*x^2) + 40*Log[4])/(15 - 30*x + 15*x^2),x]","\frac{2 \left(2 e^x (x+3)+75-5 \log (256)\right)}{15 (x-1)}","\frac{1-(x+3) \left(\frac{2 e^x}{5}+4-\log (4)\right)}{\frac{x+3}{2}-2 x}",1,"(2*(75 + 2*E^x*(3 + x) - 5*Log[256]))/(15*(-1 + x))","A",1
8986,1,49,28,0.2134981,"\int \frac{1536 x+640 x^2-96 x^3-72 x^4-8 x^5+e^x \left(-384-64 x+40 x^2+8 x^3\right)+\left(4 e^{3 x}+e^{2 x} \left(96-112 x-16 x^2+8 x^3\right)+e^x \left(-384 x+288 x^2+144 x^3-20 x^4-8 x^5\right)\right) \log (x)+\left(-1536-640 x+96 x^2+72 x^3+8 x^4+\left(-1536 x-384 x^2+288 x^3+120 x^4+12 x^5+e^{2 x} (48+12 x)+e^x \left(768-416 x-280 x^2+8 x^4\right)\right) \log (x)\right) \log (\log (x))+\left(1536+128 x-480 x^2-168 x^3-16 x^4+e^x \left(192+96 x+12 x^2\right)\right) \log (x) \log ^2(\log (x))+\left(256+192 x+48 x^2+4 x^3\right) \log (x) \log ^3(\log (x))}{e^{3 x} \log (x)+e^{2 x} (12+3 x) \log (x) \log (\log (x))+e^x \left(48+24 x+3 x^2\right) \log (x) \log ^2(\log (x))+\left(64+48 x+12 x^2+x^3\right) \log (x) \log ^3(\log (x))} \, dx","Integrate[(1536*x + 640*x^2 - 96*x^3 - 72*x^4 - 8*x^5 + E^x*(-384 - 64*x + 40*x^2 + 8*x^3) + (4*E^(3*x) + E^(2*x)*(96 - 112*x - 16*x^2 + 8*x^3) + E^x*(-384*x + 288*x^2 + 144*x^3 - 20*x^4 - 8*x^5))*Log[x] + (-1536 - 640*x + 96*x^2 + 72*x^3 + 8*x^4 + (-1536*x - 384*x^2 + 288*x^3 + 120*x^4 + 12*x^5 + E^(2*x)*(48 + 12*x) + E^x*(768 - 416*x - 280*x^2 + 8*x^4))*Log[x])*Log[Log[x]] + (1536 + 128*x - 480*x^2 - 168*x^3 - 16*x^4 + E^x*(192 + 96*x + 12*x^2))*Log[x]*Log[Log[x]]^2 + (256 + 192*x + 48*x^2 + 4*x^3)*Log[x]*Log[Log[x]]^3)/(E^(3*x)*Log[x] + E^(2*x)*(12 + 3*x)*Log[x]*Log[Log[x]] + E^x*(48 + 24*x + 3*x^2)*Log[x]*Log[Log[x]]^2 + (64 + 48*x + 12*x^2 + x^3)*Log[x]*Log[Log[x]]^3),x]","4 x \left(\frac{(x-3) x (x+4)^2}{\left(e^x+(x+4) \log (\log (x))\right)^2}-\frac{2 (x-3) (x+4)}{e^x+(x+4) \log (\log (x))}+1\right)","(x-3) \left(2-\frac{2 x}{\frac{e^x}{x+4}+\log (\log (x))}\right)^2+4",1,"4*x*(1 + ((-3 + x)*x*(4 + x)^2)/(E^x + (4 + x)*Log[Log[x]])^2 - (2*(-3 + x)*(4 + x))/(E^x + (4 + x)*Log[Log[x]]))","A",1
8987,1,26,32,0.0478155,"\int \frac{9-6 x^2-3 \log (x)+\left(-6+8 x-8 x^2+6 x^3+(3-3 x) \log (x)\right) \log \left(\frac{6-2 x+6 x^2-3 \log (x)}{x}\right)}{\left(-6 x+2 x^2-6 x^3+3 x \log (x)\right) \log \left(\frac{6-2 x+6 x^2-3 \log (x)}{x}\right)} \, dx","Integrate[(9 - 6*x^2 - 3*Log[x] + (-6 + 8*x - 8*x^2 + 6*x^3 + (3 - 3*x)*Log[x])*Log[(6 - 2*x + 6*x^2 - 3*Log[x])/x])/((-6*x + 2*x^2 - 6*x^3 + 3*x*Log[x])*Log[(6 - 2*x + 6*x^2 - 3*Log[x])/x]),x]","\log \left(\log \left(\frac{6 x^2-2 x-3 \log (x)+6}{x}\right)\right)-x+\log (x)","\log \left(5 e^{-x} x \log \left(3 \left(\frac{x^2-x-\log (x)+2}{x}+x\right)+1\right)\right)",1,"-x + Log[x] + Log[Log[(6 - 2*x + 6*x^2 - 3*Log[x])/x]]","A",1
8988,1,19,20,0.0146236,"\int \frac{-e^{1+x} x^3+e \left(-32+x^3\right)+x^3 \log (2)}{e x^3} \, dx","Integrate[(-(E^(1 + x)*x^3) + E*(-32 + x^3) + x^3*Log[2])/(E*x^3),x]","\frac{16}{x^2}+x-e^x+\frac{x \log (2)}{e}","\frac{16}{x^2}+x-e^x+\frac{x \log (2)}{e}+1",1,"-E^x + 16/x^2 + x + (x*Log[2])/E","A",1
8989,1,22,24,0.0519884,"\int \frac{220-5 x+e^{2+x} (-44+21 x)}{-20 x+4 e^{2+x} x} \, dx","Integrate[(220 - 5*x + E^(2 + x)*(-44 + 21*x))/(-20*x + 4*E^(2 + x)*x),x]","\frac{x}{4}+5 \log \left(5-e^{x+2}\right)-11 \log (x)","5 \log \left(\frac{e^{x+2}-5}{x^2}\right)+\frac{x}{4}-\log (x)",1,"x/4 + 5*Log[5 - E^(2 + x)] - 11*Log[x]","A",1
8990,1,36,35,4.0904884,"\int \frac{16+8 x^2+x^4+e^{5+x} \left(-16 x-8 x^3-x^5\right)+e^5 \left(-4 x+x^3\right) \log (2)+\left(e^x \left(-16 x-8 x^3-x^5\right)+\left(-4 x+x^3\right) \log (2)\right) \log \left(\frac{x}{4}\right)}{e^5 \left(256 x+128 x^3+16 x^5\right)+\left(256 x+128 x^3+16 x^5\right) \log \left(\frac{x}{4}\right)} \, dx","Integrate[(16 + 8*x^2 + x^4 + E^(5 + x)*(-16*x - 8*x^3 - x^5) + E^5*(-4*x + x^3)*Log[2] + (E^x*(-16*x - 8*x^3 - x^5) + (-4*x + x^3)*Log[2])*Log[x/4])/(E^5*(256*x + 128*x^3 + 16*x^5) + (256*x + 128*x^3 + 16*x^5)*Log[x/4]),x]","\frac{1}{16} \left(-\frac{x \log (256)}{8 \left(x^2+4\right)}-e^x+\log \left(\log \left(\frac{x}{4}\right)+e^5\right)+1\right)","\frac{1}{16} \left(-e^x+\log \left(\log \left(\frac{x}{4}\right)+e^5\right)-\frac{\log (2)}{x+\frac{4}{x}}+2\right)",1,"(1 - E^x - (x*Log[256])/(8*(4 + x^2)) + Log[E^5 + Log[x/4]])/16","A",1
8991,1,18,20,0.0244794,"\int \frac{2 \log \left(\frac{1-\log (2 x)}{e}\right)}{4 x-4 x \log (2 x)+(-x+x \log (2 x)) \log ^2\left(\frac{1-\log (2 x)}{e}\right)} \, dx","Integrate[(2*Log[(1 - Log[2*x])/E])/(4*x - 4*x*Log[2*x] + (-x + x*Log[2*x])*Log[(1 - Log[2*x])/E]^2),x]","\log \left(4-(\log (1-\log (2 x))-1)^2\right)","\log \left(4-\log ^2\left(\frac{1-\log (2 x)}{e}\right)\right)",1,"Log[4 - (-1 + Log[1 - Log[2*x]])^2]","A",1
8992,1,17,16,0.1875959,"\int \frac{-20 x+(50+20 x) \log \left(\frac{1}{2} (5+2 x)\right)}{605 x^2+242 x^3+\left(1100 x+440 x^2\right) \log \left(\frac{1}{2} (5+2 x)\right)+(500+200 x) \log ^2\left(\frac{1}{2} (5+2 x)\right)} \, dx","Integrate[(-20*x + (50 + 20*x)*Log[(5 + 2*x)/2])/(605*x^2 + 242*x^3 + (1100*x + 440*x^2)*Log[(5 + 2*x)/2] + (500 + 200*x)*Log[(5 + 2*x)/2]^2),x]","\frac{10 x}{110 x+100 \log \left(x+\frac{5}{2}\right)}","\frac{x}{x+10 \left(x+\log \left(x+\frac{5}{2}\right)\right)}",1,"(10*x)/(110*x + 100*Log[5/2 + x])","A",1
8993,1,24,22,0.0284374,"\int \frac{e^{\frac{1}{4} \left(-12-x^3-4 x^4+4 \log \left(\frac{e^{-x} x}{10}\right)\right)} \left(4-4 x-3 x^3-16 x^4\right)}{4 x} \, dx","Integrate[(E^((-12 - x^3 - 4*x^4 + 4*Log[x/(10*E^x)])/4)*(4 - 4*x - 3*x^3 - 16*x^4))/(4*x),x]","\frac{1}{10} e^{-x^4-\frac{x^3}{4}-x-3} x","\frac{1}{10} e^{-\left(\left(x+\frac{1}{4}\right) x^3\right)-x-3} x",1,"(E^(-3 - x - x^3/4 - x^4)*x)/10","A",1
8994,1,15,17,0.0024477,"\int \frac{x+e^4 \log ^2(3)}{x^2} \, dx","Integrate[(x + E^4*Log[3]^2)/x^2,x]","\log (x)-\frac{e^4 \log ^2(3)}{x}","\log \left(x e^{-\frac{e^4 \log ^2(3)}{x}}\right)",1,"-((E^4*Log[3]^2)/x) + Log[x]","A",1
8995,1,30,30,0.0196946,"\int \frac{-9-2 e^{\frac{1}{5} \left(2+e^3\right)} x+x^2+x^4+2 x^5}{x^4} \, dx","Integrate[(-9 - 2*E^((2 + E^3)/5)*x + x^2 + x^4 + 2*x^5)/x^4,x]","\frac{3}{x^3}+x^2+\frac{e^{\frac{1}{5} \left(2+e^3\right)}}{x^2}+x-\frac{1}{x}","x^2-\frac{x-\frac{3}{x}-e^{\frac{1}{5} \left(2+e^3\right)}}{x^2}+x",1,"3/x^3 + E^((2 + E^3)/5)/x^2 - x^(-1) + x + x^2","A",1
8996,1,10,12,0.0049001,"\int \frac{2+4 \log (x)}{x \log (x)} \, dx","Integrate[(2 + 4*Log[x])/(x*Log[x]),x]","4 \log (x)+2 \log (\log (x))","\log \left(\frac{390625 x^4 \log ^2(x)}{276922881}\right)",1,"4*Log[x] + 2*Log[Log[x]]","A",1
8997,1,31,34,0.0660515,"\int \frac{e^{-e^x-2 x} \left(10 e^{2 x}+5 e^{3 x} x-50 e^{e^x} x^3+e^{2 e^x+x} \left(e^{3 x} x^2+e^{2 x} \left(-x+x^2\right)\right)\right)}{x^3} \, dx","Integrate[(E^(-E^x - 2*x)*(10*E^(2*x) + 5*E^(3*x)*x - 50*E^E^x*x^3 + E^(2*E^x + x)*(E^(3*x)*x^2 + E^(2*x)*(-x + x^2))))/x^3,x]","-\frac{5 e^{-e^x}}{x^2}+25 e^{-2 x}+\frac{e^{x+e^x}}{x}","\frac{e^{x+e^x}-\frac{5 e^{-e^x}}{x}}{x}+25 e^{-2 x}+\log (3)",1,"25/E^(2*x) - 5/(E^E^x*x^2) + E^(E^x + x)/x","A",1
8998,1,18,27,0.0076804,"\int -8388608 e^{-10+6 e^{5 e^5}-8 x} \, dx","Integrate[-8388608*E^(-10 + 6*E^(5*E^5) - 8*x),x]","1048576 e^{-8 x+6 e^{5 e^5}-10}","e^{6 \left(e^{5 e^5}-x\right)-2 x-10 (1-\log (4))}",1,"1048576*E^(-10 + 6*E^(5*E^5) - 8*x)","A",1
8999,1,18,18,0.1805345,"\int \frac{e^{8-2 e^{e^{1+x}}-\frac{6}{x^2}} \left(12-2 e^{1+e^{1+x}+x} x^3\right)}{x^3} \, dx","Integrate[(E^(8 - 2*E^E^(1 + x) - 6/x^2)*(12 - 2*E^(1 + E^(1 + x) + x)*x^3))/x^3,x]","e^{-\frac{6}{x^2}-2 e^{e^{x+1}}+8}","e^{-\frac{6}{x^2}-2 e^{e^{x+1}}+8}",1,"E^(8 - 2*E^E^(1 + x) - 6/x^2)","A",1
9000,1,26,24,0.1770227,"\int \frac{35 x^3+7 x^4+e^{3 x} \left(5 x^3-2 x^4\right)+\left(28 x^3+4 e^{3 x} x^3\right) \log \left(\frac{3 e^x x}{28+4 e^{3 x}}\right)}{7+e^{3 x}} \, dx","Integrate[(35*x^3 + 7*x^4 + E^(3*x)*(5*x^3 - 2*x^4) + (28*x^3 + 4*E^(3*x)*x^3)*Log[(3*E^x*x)/(28 + 4*E^(3*x))])/(7 + E^(3*x)),x]","x^4+x^4 \log \left(\frac{3 e^x x}{4 \left(e^{3 x}+7\right)}\right)","x^4 \left(\log \left(\frac{3 e^x x}{4 \left(e^{3 x}+7\right)}\right)+1\right)",1,"x^4 + x^4*Log[(3*E^x*x)/(4*(7 + E^(3*x)))]","A",1
9001,1,110,31,0.711254,"\int \frac{e^{\frac{2 x}{\log (x)}} \left(-2 x^2+2 x^2 \log (x)+2 x \log ^2(x)+e^{-30+2 x-2 x \log (2 x)} \left(-2+2 \log (x)-2 \log ^2(x) \log (2 x)\right)+e^{-15+x-x \log (2 x)} \left(4 x-4 x \log (x)-2 \log ^2(x)+2 x \log ^2(x) \log (2 x)\right)\right)}{5 \log ^2(x)} \, dx","Integrate[(E^((2*x)/Log[x])*(-2*x^2 + 2*x^2*Log[x] + 2*x*Log[x]^2 + E^(-30 + 2*x - 2*x*Log[2*x])*(-2 + 2*Log[x] - 2*Log[x]^2*Log[2*x]) + E^(-15 + x - x*Log[2*x])*(4*x - 4*x*Log[x] - 2*Log[x]^2 + 2*x*Log[x]^2*Log[2*x])))/(5*Log[x]^2),x]","\frac{1}{5} \int \frac{e^{\frac{2 x}{\log (x)}} \left(-2 x^2+2 x^2 \log (x)+2 x \log ^2(x)+e^{2 x-2 x \log (2 x)-30} \left(-2 \log (2 x) \log ^2(x)+2 \log (x)-2\right)+e^{x+x (-\log (2 x))-15} \left(4 x+2 x \log (2 x) \log ^2(x)-2 \log ^2(x)-4 x \log (x)\right)\right)}{\log ^2(x)} \, dx","\frac{1}{5} e^{\frac{2 x}{\log (x)}} \left(x-e^{x+x (-\log (2 x))-15}\right)^2",1,"Integrate[(E^((2*x)/Log[x])*(-2*x^2 + 2*x^2*Log[x] + 2*x*Log[x]^2 + E^(-30 + 2*x - 2*x*Log[2*x])*(-2 + 2*Log[x] - 2*Log[x]^2*Log[2*x]) + E^(-15 + x - x*Log[2*x])*(4*x - 4*x*Log[x] - 2*Log[x]^2 + 2*x*Log[x]^2*Log[2*x])))/Log[x]^2, x]/5","F",1
9002,1,15,12,0.0941175,"\int \frac{16+e^{8 x} (-1+8 x)}{-16 x+e^{8 x} x} \, dx","Integrate[(16 + E^(8*x)*(-1 + 8*x))/(-16*x + E^(8*x)*x),x]","\log \left(16-e^{8 x}\right)-\log (x)","\log \left(\frac{e^{8 x}-16}{x}\right)",1,"Log[16 - E^(8*x)] - Log[x]","A",1
9003,1,45,31,0.0608914,"\int \frac{-75-75 x-x^2+x^3+2 x^4+\left(\left(75-x^2+x^3\right) \log (2)+\left(-75+x^2-x^3\right) \log \left(\frac{75-x^2+x^3}{x}\right)\right) \log \left(\frac{-\log (2)+\log \left(\frac{75-x^2+x^3}{x}\right)}{\log (2)}\right)}{\left(-75 x^2+x^4-x^5\right) \log (2)+\left(75 x^2-x^4+x^5\right) \log \left(\frac{75-x^2+x^3}{x}\right)} \, dx","Integrate[(-75 - 75*x - x^2 + x^3 + 2*x^4 + ((75 - x^2 + x^3)*Log[2] + (-75 + x^2 - x^3)*Log[(75 - x^2 + x^3)/x])*Log[(-Log[2] + Log[(75 - x^2 + x^3)/x])/Log[2]])/((-75*x^2 + x^4 - x^5)*Log[2] + (75*x^2 - x^4 + x^5)*Log[(75 - x^2 + x^3)/x]),x]","\log \left(\log (2)-\log \left(x^2-x+\frac{75}{x}\right)\right)+\frac{\log \left(\frac{\log \left(x^2-x+\frac{75}{x}\right)}{\log (2)}-1\right)}{x}","\frac{(x+1) \log \left(\frac{\log \left(x \left(\frac{75}{x^2}+x\right)-x\right)}{\log (2)}-1\right)}{x}+5",1,"Log[Log[2] - Log[75/x - x + x^2]] + Log[-1 + Log[75/x - x + x^2]/Log[2]]/x","A",1
9004,1,8,15,0.0000743,"\int \left(1+4 x^3+5 x^4\right) \, dx","Integrate[1 + 4*x^3 + 5*x^4,x]","x^5+x^4+x","\left(x^2+x\right) x^3+x+e^3+2",1,"x + x^4 + x^5","A",1
9005,1,27,25,0.0726648,"\int \frac{1}{32} \left(8192 e^{4 x}+x-192 x^2+8192 x^3+e^{3 x} (8192+24576 x)+e^{2 x} \left(-64+24448 x+24576 x^2\right)+e^x \left(-256 x+24448 x^2+8192 x^3\right)\right) \, dx","Integrate[(8192*E^(4*x) + x - 192*x^2 + 8192*x^3 + E^(3*x)*(8192 + 24576*x) + E^(2*x)*(-64 + 24448*x + 24576*x^2) + E^x*(-256*x + 24448*x^2 + 8192*x^3))/32,x]","\frac{1}{64} \left(128 e^x x+(64 x-1) x+64 e^{2 x}\right)^2","4 \left(\frac{x}{16}-\left(2 x+2 e^x\right)^2\right)^2-2",1,"(64*E^(2*x) + 128*E^x*x + x*(-1 + 64*x))^2/64","A",1
9006,1,6,31,0.0002614,"\int \frac{4}{3 x} \, dx","Integrate[4/(3*x),x]","\frac{4 \log (x)}{3}","\frac{4}{3} \left(-\log \left(\frac{4 e^4}{x}\right)-e^6-e^4-4\right)+e^5",1,"(4*Log[x])/3","A",1
9007,1,30,30,0.0836845,"\int \frac{-168 x^2+48 x^3+e^{3/x} \left(-45 x-20 x^2+10 x^3\right)+\left(72 x-24 x^2+e^{3/x} \left(45-5 x^2\right)\right) \log (3-x)}{72 x^3-24 x^4+e^{3/x} \left(15 x^3-5 x^4\right)+\left(-72 x^2+24 x^3+e^{3/x} \left(-15 x^2+5 x^3\right)\right) \log (3-x)} \, dx","Integrate[(-168*x^2 + 48*x^3 + E^(3/x)*(-45*x - 20*x^2 + 10*x^3) + (72*x - 24*x^2 + E^(3/x)*(45 - 5*x^2))*Log[3 - x])/(72*x^3 - 24*x^4 + E^(3/x)*(15*x^3 - 5*x^4) + (-72*x^2 + 24*x^3 + E^(3/x)*(-15*x^2 + 5*x^3))*Log[3 - x]),x]","\log \left(5 e^{3/x}+24\right)-\log (x)-\log (x-\log (3-x))","\log \left(\frac{-e^{3/x}-\frac{24}{5}}{x (\log (3-x)-x)}\right)",1,"Log[24 + 5*E^(3/x)] - Log[x] - Log[x - Log[3 - x]]","A",1
9008,1,22,29,0.009649,"\int \frac{-5+5 x-4 x^2+20 x^3+9 x^4}{5 x-6 x^2+2 x^3+9 x^4} \, dx","Integrate[(-5 + 5*x - 4*x^2 + 20*x^3 + 9*x^4)/(5*x - 6*x^2 + 2*x^3 + 9*x^4),x]","\log \left(9 x^3+2 x^2-6 x+5\right)+x-\log (x)","\log \left(e^x (3-x)-\frac{1}{2} e^x \left(9 x^2+\frac{5}{x}\right)\right)",1,"x - Log[x] + Log[5 - 6*x + 2*x^2 + 9*x^3]","A",1
9009,1,16,22,0.5878988,"\int \frac{2 x+(25+x) \log (5)+(50+2 x) \log (16)+(-25-x) \log \left(625+50 x+x^2\right)}{25 x^2+x^3+\left(50 x+2 x^2\right) \log (5)+(25+x) \log ^2(5)+\left(100 x+4 x^2+(100+4 x) \log (5)\right) \log (16)+(100+4 x) \log ^2(16)+\left(-50 x-2 x^2+(-50-2 x) \log (5)+(-100-4 x) \log (16)\right) \log \left(625+50 x+x^2\right)+(25+x) \log ^2\left(625+50 x+x^2\right)} \, dx","Integrate[(2*x + (25 + x)*Log[5] + (50 + 2*x)*Log[16] + (-25 - x)*Log[625 + 50*x + x^2])/(25*x^2 + x^3 + (50*x + 2*x^2)*Log[5] + (25 + x)*Log[5]^2 + (100*x + 4*x^2 + (100 + 4*x)*Log[5])*Log[16] + (100 + 4*x)*Log[16]^2 + (-50*x - 2*x^2 + (-50 - 2*x)*Log[5] + (-100 - 4*x)*Log[16])*Log[625 + 50*x + x^2] + (25 + x)*Log[625 + 50*x + x^2]^2),x]","\frac{x}{x-\log \left((x+25)^2\right)+\log (1280)}","\frac{x}{x-\log \left((x+25)^2\right)+2 \log (16)+\log (5)}+2",1,"x/(x + Log[1280] - Log[(25 + x)^2])","A",1
9010,1,20,21,0.0079237,"\int \frac{4-x+(4-x) \log (5)+\log ^2(5)}{-4+x} \, dx","Integrate[(4 - x + (4 - x)*Log[5] + Log[5]^2)/(-4 + x),x]","\log ^2(5) \log (x-4)+(x-4) (-1-\log (5))","-x+\log (5) (\log (5) \log (4-x)-x)+8",1,"(-4 + x)*(-1 - Log[5]) + Log[5]^2*Log[-4 + x]","A",1
9011,1,36,30,0.2737676,"\int \frac{\exp \left(\frac{3+e^{10} \left(-x^2-x^3\right)}{-e^{10} x^2+e^{10} x^2 \log \left(\frac{x}{5 \log (x)}\right)}\right) \left(3+e^{10} \left(-x^2-x^3\right)+\left(3+e^{10} \left(x^2+2 x^3\right)\right) \log (x)+\left(-6-e^{10} x^3\right) \log (x) \log \left(\frac{x}{5 \log (x)}\right)\right)}{e^{10} x^3 \log (x)-2 e^{10} x^3 \log (x) \log \left(\frac{x}{5 \log (x)}\right)+e^{10} x^3 \log (x) \log ^2\left(\frac{x}{5 \log (x)}\right)} \, dx","Integrate[(E^((3 + E^10*(-x^2 - x^3))/(-(E^10*x^2) + E^10*x^2*Log[x/(5*Log[x])]))*(3 + E^10*(-x^2 - x^3) + (3 + E^10*(x^2 + 2*x^3))*Log[x] + (-6 - E^10*x^3)*Log[x]*Log[x/(5*Log[x])]))/(E^10*x^3*Log[x] - 2*E^10*x^3*Log[x]*Log[x/(5*Log[x])] + E^10*x^3*Log[x]*Log[x/(5*Log[x])]^2),x]","\exp \left(\frac{3-e^{10} x^2 (x+1)}{e^{10} x^2 \left(\log \left(\frac{x}{5 \log (x)}\right)-1\right)}\right)","e^{\frac{\frac{3}{e^{10} x^2}-x-1}{\log \left(\frac{x}{5 \log (x)}\right)-1}}",1,"E^((3 - E^10*x^2*(1 + x))/(E^10*x^2*(-1 + Log[x/(5*Log[x])])))","A",1
9012,1,33,28,0.4185809,"\int \frac{9-6 x+x^2+18 x^3+16 x^4+3 x^5}{9 x-6 x^2-3 x^3+6 x^4+5 x^5+x^6+\left(9 x+6 x^2+x^3\right) \log (5 x)} \, dx","Integrate[(9 - 6*x + x^2 + 18*x^3 + 16*x^4 + 3*x^5)/(9*x - 6*x^2 - 3*x^3 + 6*x^4 + 5*x^5 + x^6 + (9*x + 6*x^2 + x^3)*Log[5*x]),x]","\log \left(x^4+2 x^3-3 x+x \log (5 x)+3 \log (5 x)+3\right)-\log (x+3)","\log \left(\frac{x-x^2 (x+1)^2}{x+3}+x-\log (5 x)-1\right)",1,"-Log[3 + x] + Log[3 - 3*x + 2*x^3 + x^4 + 3*Log[5*x] + x*Log[5*x]]","A",1
9013,1,28,30,0.3452401,"\int \frac{e^{-x} \left(e^8 \left(-10-20 x-5 x^2\right)+e^{5+2 x} \left(-20-20 x+10 x^2\right)+e^{2+4 x} \left(-10+15 x^2\right)\right)}{x^3+2 x^4+x^5} \, dx","Integrate[(E^8*(-10 - 20*x - 5*x^2) + E^(5 + 2*x)*(-20 - 20*x + 10*x^2) + E^(2 + 4*x)*(-10 + 15*x^2))/(E^x*(x^3 + 2*x^4 + x^5)),x]","\frac{5 e^{2-x} \left(e^{2 x}+e^3\right)^2}{x^2 (x+1)}","\frac{5 e^{-x} \left(e^{2 x+1}+e^4\right)^2}{x \left(x^2+x\right)}",1,"(5*E^(2 - x)*(E^3 + E^(2*x))^2)/(x^2*(1 + x))","A",1
9014,1,24,24,0.5639223,"\int \frac{\left(-x+e^{4+4 x+x^2} \left(-4 x-2 x^2\right)\right) \log (2 x)+\left(-e^{4+4 x+x^2}-x\right) \log \left(e^{4+4 x+x^2}+x\right)}{-5 e^{4+4 x+x^2} x-5 x^2+\left(e^{4+4 x+x^2} x+x^2\right) \log (2 x) \log \left(e^{4+4 x+x^2}+x\right)} \, dx","Integrate[((-x + E^(4 + 4*x + x^2)*(-4*x - 2*x^2))*Log[2*x] + (-E^(4 + 4*x + x^2) - x)*Log[E^(4 + 4*x + x^2) + x])/(-5*E^(4 + 4*x + x^2)*x - 5*x^2 + (E^(4 + 4*x + x^2)*x + x^2)*Log[2*x]*Log[E^(4 + 4*x + x^2) + x]),x]","-\log \left(5-\log (2 x) \log \left(e^{x^2+4 x+4}+x\right)\right)","\log (5)-\log \left(5-\log (2 x) \log \left(x+e^{(x+2)^2}\right)\right)",1,"-Log[5 - Log[2*x]*Log[E^(4 + 4*x + x^2) + x]]","A",1
9015,1,46,34,0.0515807,"\int \frac{-54-132 x+162 x^2-142 x^3+114 x^4-54 x^5+16 x^6-2 x^7+e^x \left(27-54 x+27 x^2+27 x^3-45 x^4+27 x^5-8 x^6+x^7\right)}{27-81 x+108 x^2-81 x^3+36 x^4-9 x^5+x^6} \, dx","Integrate[(-54 - 132*x + 162*x^2 - 142*x^3 + 114*x^4 - 54*x^5 + 16*x^6 - 2*x^7 + E^x*(27 - 54*x + 27*x^2 + 27*x^3 - 45*x^4 + 27*x^5 - 8*x^6 + x^7))/(27 - 81*x + 108*x^2 - 81*x^3 + 36*x^4 - 9*x^5 + x^6),x]","-x^2-\frac{8 (3 x-1)}{x^2-3 x+3}-\frac{48 (x-1)}{\left(x^2-3 x+3\right)^2}+e^x x-2 x","-\left(\left(\frac{\left(x+\frac{4}{x+\frac{3}{x}-3}\right)^2}{x}-e^x\right) x\right)-2 x-5",1,"-2*x + E^x*x - x^2 - (48*(-1 + x))/(3 - 3*x + x^2)^2 - (8*(-1 + 3*x))/(3 - 3*x + x^2)","A",1
9016,1,28,20,0.8256027,"\int \frac{\exp \left(\frac{1}{72} \left(-4-4 x+7 x^2-2 x^3+\left(4-4 x+x^2\right) \log (x)\right)\right) \left(4-8 x+15 x^2-6 x^3+\left(-4 x+2 x^2\right) \log (x)\right)}{72 x} \, dx","Integrate[(E^((-4 - 4*x + 7*x^2 - 2*x^3 + (4 - 4*x + x^2)*Log[x])/72)*(4 - 8*x + 15*x^2 - 6*x^3 + (-4*x + 2*x^2)*Log[x]))/(72*x),x]","e^{-\frac{1}{72} (x-2)^2 (2 x+1)} x^{\frac{1}{72} (x-2)^2}","e^{\frac{1}{72} (2-x)^2 (-2 x+\log (x)-1)}",1,"x^((-2 + x)^2/72)/E^(((-2 + x)^2*(1 + 2*x))/72)","A",1
9017,1,29,28,0.1960839,"\int \frac{e^{\frac{1}{25} \left(-4775-560 x-16 x^2\right)} \left(-1680-96 x+e^5 \left(1145+624 x+32 x^2\right)\right)}{225+e^5 (-300-150 x)+e^{10} \left(100+100 x+25 x^2\right)} \, dx","Integrate[(E^((-4775 - 560*x - 16*x^2)/25)*(-1680 - 96*x + E^5*(1145 + 624*x + 32*x^2)))/(225 + E^5*(-300 - 150*x) + E^10*(100 + 100*x + 25*x^2)),x]","-\frac{e^{-\frac{16 x^2}{25}-\frac{112 x}{5}-191}}{e^5 (x+2)-3}","\frac{e^{5-\left(-\frac{4 x}{5}-14\right)^2}}{3-e^5 (x+2)}",1,"-(E^(-191 - (112*x)/5 - (16*x^2)/25)/(-3 + E^5*(2 + x)))","A",1
9018,1,51,21,0.885392,"\int \exp \left(x^2+\left(-6 e^2 x+24 e x^2-24 x^3\right) \log (5)+\left(9 e^4-72 e^3 x+216 e^2 x^2-288 e x^3+144 x^4\right) \log ^2(5)\right) \left(2 x+\left(-6 e^2+48 e x-72 x^2\right) \log (5)+\left(-72 e^3+432 e^2 x-864 e x^2+576 x^3\right) \log ^2(5)\right) \, dx","Integrate[E^(x^2 + (-6*E^2*x + 24*E*x^2 - 24*x^3)*Log[5] + (9*E^4 - 72*E^3*x + 216*E^2*x^2 - 288*E*x^3 + 144*x^4)*Log[5]^2)*(2*x + (-6*E^2 + 48*E*x - 72*x^2)*Log[5] + (-72*E^3 + 432*E^2*x - 864*E*x^2 + 576*x^3)*Log[5]^2),x]","5^{-6 (e-2 x)^2 x} \exp \left(\frac{1}{4} \left((e-2 x)^2-2 e (e-2 x)+36 (e-2 x)^4 \log ^2(5)+e^2\right)\right)","e^{\left(3 (2 x-e)^2 \log (5)-x\right)^2}",1,"E^((E^2 - 2*E*(E - 2*x) + (E - 2*x)^2 + 36*(E - 2*x)^4*Log[5]^2)/4)/5^(6*(E - 2*x)^2*x)","B",1
9019,1,24,17,0.0380714,"\int \frac{-7-14 x+(7+7 x) \log (-1-x)+(7+7 x) \log (x)}{e^2 \left(x^2+x^3\right)} \, dx","Integrate[(-7 - 14*x + (7 + 7*x)*Log[-1 - x] + (7 + 7*x)*Log[x])/(E^2*(x^2 + x^3)),x]","\frac{7 \left(-\frac{\log (-x-1)}{x}-\frac{\log (x)}{x}\right)}{e^2}","-\frac{7 (\log (-x-1)+\log (x))}{e^2 x}",1,"(7*(-(Log[-1 - x]/x) - Log[x]/x))/E^2","A",1
9020,1,17,17,0.5679276,"\int e^{-x} x^{4+e^{e^{e^{16 e^{-x}}}}} \left(5 e^x+e^{e^{e^{16 e^{-x}}}} \left(e^x-16 e^{e^{16 e^{-x}}+16 e^{-x}} x \log (x)\right)\right) \, dx","Integrate[(x^(4 + E^E^E^(16/E^x))*(5*E^x + E^E^E^(16/E^x)*(E^x - 16*E^(E^(16/E^x) + 16/E^x)*x*Log[x])))/E^x,x]","x^{e^{e^{e^{16 e^{-x}}}}+5}","x^{e^{e^{e^{16 e^{-x}}}}+5}",1,"x^(5 + E^E^E^(16/E^x))","A",1
9021,1,9,17,0.0044364,"\int 2 e^{e^e+2 x} \, dx","Integrate[2*E^(E^E + 2*x),x]","e^{2 x+e^e}","e^{2 x+e^e}+e^{26+e^{32}}",1,"E^(E^E + 2*x)","A",1
9022,1,46,32,2.7469251,"\int \frac{-6+27 x-28 x^2+8 x^3+4 x^2 \log \left(\frac{1}{4} (-2+x)\right)+\left(-24 x+44 x^2-16 x^3\right) \log ^2\left(\frac{1}{4} (-2+x)\right)+\left(-16 x^2+8 x^3\right) \log ^4\left(\frac{1}{4} (-2+x)\right)+\left(12-46 x+52 x^2-16 x^3+\left(40 x-84 x^2+32 x^3\right) \log ^2\left(\frac{1}{4} (-2+x)\right)+\left(32 x^2-16 x^3\right) \log ^4\left(\frac{1}{4} (-2+x)\right)\right) \log \left(\frac{-2 x+4 x^2-4 x^2 \log ^2\left(\frac{1}{4} (-2+x)\right)}{3-4 x+4 x \log ^2\left(\frac{1}{4} (-2+x)\right)}\right)}{-6 x^3+23 x^4-26 x^5+8 x^6+\left(-20 x^4+42 x^5-16 x^6\right) \log ^2\left(\frac{1}{4} (-2+x)\right)+\left(-16 x^5+8 x^6\right) \log ^4\left(\frac{1}{4} (-2+x)\right)} \, dx","Integrate[(-6 + 27*x - 28*x^2 + 8*x^3 + 4*x^2*Log[(-2 + x)/4] + (-24*x + 44*x^2 - 16*x^3)*Log[(-2 + x)/4]^2 + (-16*x^2 + 8*x^3)*Log[(-2 + x)/4]^4 + (12 - 46*x + 52*x^2 - 16*x^3 + (40*x - 84*x^2 + 32*x^3)*Log[(-2 + x)/4]^2 + (32*x^2 - 16*x^3)*Log[(-2 + x)/4]^4)*Log[(-2*x + 4*x^2 - 4*x^2*Log[(-2 + x)/4]^2)/(3 - 4*x + 4*x*Log[(-2 + x)/4]^2)])/(-6*x^3 + 23*x^4 - 26*x^5 + 8*x^6 + (-20*x^4 + 42*x^5 - 16*x^6)*Log[(-2 + x)/4]^2 + (-16*x^5 + 8*x^6)*Log[(-2 + x)/4]^4),x]","\frac{\log \left(-\frac{2 x \left(-2 x+2 x \log ^2\left(\frac{x-2}{4}\right)+1\right)}{-4 x+4 x \log ^2\left(\frac{x-2}{4}\right)+3}\right)}{x^2}","\frac{\log \left(\frac{x}{3-x \left(4-4 \log ^2\left(\frac{x-2}{4}\right)\right)}-x\right)}{x^2}",1,"Log[(-2*x*(1 - 2*x + 2*x*Log[(-2 + x)/4]^2))/(3 - 4*x + 4*x*Log[(-2 + x)/4]^2)]/x^2","A",1
9023,1,12,17,0.0023117,"\int \frac{-1-x}{-2+x} \, dx","Integrate[(-1 - x)/(-2 + x),x]","-x-3 \log (2-x)","-x+3 (-\log (2-x)-2)-4",1,"-x - 3*Log[2 - x]","A",1
9024,1,35,35,0.5074485,"\int \frac{\left(-2 x \log ^2(3)+e^{2+x-x^4} \left(-2+4 x-16 x^4\right) \log ^2(3)\right) \log \left(\frac{e^{4+2 x-2 x^4}-2 e^{2+x-x^4} x+x^2}{x}\right)}{e^{2+x-x^4} x-x^2} \, dx","Integrate[((-2*x*Log[3]^2 + E^(2 + x - x^4)*(-2 + 4*x - 16*x^4)*Log[3]^2)*Log[(E^(4 + 2*x - 2*x^4) - 2*E^(2 + x - x^4)*x + x^2)/x])/(E^(2 + x - x^4)*x - x^2),x]","\log ^2(3) \log ^2\left(\frac{e^{-2 x^4} \left(e^{x+2}-e^{x^4} x\right)^2}{x}\right)","\log ^2(3) \log ^2\left(\frac{\left(e^{x \left(\frac{x+2}{x}-x^3\right)}-x\right)^2}{x}\right)",1,"Log[3]^2*Log[(E^(2 + x) - E^x^4*x)^2/(E^(2*x^4)*x)]^2","A",1
9025,1,20,23,0.026294,"\int \frac{x+\left(2-2 x-4 x^2\right) \log \left(\frac{4}{5} e^{-x-x^2} x \log (4)\right)}{x} \, dx","Integrate[(x + (2 - 2*x - 4*x^2)*Log[(4*E^(-x - x^2)*x*Log[4])/5])/x,x]","x+\log ^2\left(\frac{4}{5} e^{-x (x+1)} x \log (4)\right)","\log ^2\left(\frac{4}{5} e^{-x^2-x} x \log (4)\right)+x",1,"x + Log[(4*x*Log[4])/(5*E^(x*(1 + x)))]^2","A",1
9026,1,27,26,0.133805,"\int \frac{1+4 e^x+e^{225-90 e^x+9 e^{2 x}} \left(2 e^x-90 e^{2 x}+18 e^{3 x}\right)+x}{2 e^x+e^{225-90 e^x+9 e^{2 x}+x}+x} \, dx","Integrate[(1 + 4*E^x + E^(225 - 90*E^x + 9*E^(2*x))*(2*E^x - 90*E^(2*x) + 18*E^(3*x)) + x)/(2*E^x + E^(225 - 90*E^x + 9*E^(2*x) + x) + x),x]","x+\log \left(x+2 e^x+e^{x-90 e^x+9 e^{2 x}+225}\right)","x+\log \left(e^x \left(e^{9 \left(e^x-5\right)^2}+2\right)+x\right)+e^2+2",1,"x + Log[2*E^x + E^(225 - 90*E^x + 9*E^(2*x) + x) + x]","A",1
9027,1,29,21,0.1508383,"\int \frac{-4+9 x-2 x^2+\left(-x^2+2 x^3\right) \log (2)+\left(-12+x-x^2+\left(24 x-2 x^2+2 x^3\right) \log (2)\right) \log \left(-12+x-x^2\right)}{12-x+x^2} \, dx","Integrate[(-4 + 9*x - 2*x^2 + (-x^2 + 2*x^3)*Log[2] + (-12 + x - x^2 + (24*x - 2*x^2 + 2*x^3)*Log[2])*Log[-12 + x - x^2])/(12 - x + x^2),x]","x (x \log (2)-1) \log \left(-x^2+x-12\right)+4 \log \left(x^2-x+12\right)","\left(x^2 \log (2)-x+4\right) \log \left(-x^2+x-12\right)",1,"x*(-1 + x*Log[2])*Log[-12 + x - x^2] + 4*Log[12 - x + x^2]","A",1
9028,1,12,20,0.0015409,"\int \frac{-21+12 x}{20 x} \, dx","Integrate[(-21 + 12*x)/(20*x),x]","\frac{3}{20} (4 x-7 \log (x))","\frac{3}{5} \left(x-\frac{7 \log (x)}{4}-e^4+5\right)+4",1,"(3*(4*x - 7*Log[x]))/20","A",1
9029,1,31,34,0.0691172,"\int \frac{-2 x^2+\left(e^3 x+2 x^2\right) (i \pi +\log (4+3 e))+\left(-2 x^2+\left(2 e^3 x+2 x^2\right) (i \pi +\log (4+3 e))\right) \log \left(\frac{x^2+\left(-e^3 x-x^2\right) (i \pi +\log (4+3 e))}{i \pi +\log (4+3 e)}\right)}{-x+\left(e^3+x\right) (i \pi +\log (4+3 e))} \, dx","Integrate[(-2*x^2 + (E^3*x + 2*x^2)*(I*Pi + Log[4 + 3*E]) + (-2*x^2 + (2*E^3*x + 2*x^2)*(I*Pi + Log[4 + 3*E]))*Log[(x^2 + (-(E^3*x) - x^2)*(I*Pi + Log[4 + 3*E]))/(I*Pi + Log[4 + 3*E])])/(-x + (E^3 + x)*(I*Pi + Log[4 + 3*E])),x]","x^2 \log \left(x \left(-e^3+x \left(-1+\frac{1}{\log (4+3 e)+i \pi }\right)\right)\right)","x^2 \log \left(x \left(-x+\frac{x}{\log (3 (3+e)-5)+i \pi }-e^3\right)\right)",1,"x^2*Log[x*(-E^3 + x*(-1 + (I*Pi + Log[4 + 3*E])^(-1)))]","A",1
9030,1,28,31,0.1992823,"\int \frac{36-42 x+16 x^2-16 x^3+6 x^4-x^5+e^x \left(-9 x^3+6 x^4-x^5\right)+\left(-36+33 x-10 x^2+x^3\right) \log \left(x^2\right)}{9 x^3-6 x^4+x^5} \, dx","Integrate[(36 - 42*x + 16*x^2 - 16*x^3 + 6*x^4 - x^5 + E^x*(-9*x^3 + 6*x^4 - x^5) + (-36 + 33*x - 10*x^2 + x^3)*Log[x^2])/(9*x^3 - 6*x^4 + x^5),x]","-\frac{(x-2) \log \left(x^2\right)}{x^2}-x-e^x+\frac{5}{x-3}","-\frac{(x-2) \log \left(x^2\right)}{x^2}-x-e^x-\frac{5}{3-x}-2",1,"-E^x + 5/(-3 + x) - x - ((-2 + x)*Log[x^2])/x^2","A",1
9031,1,36,28,0.1454986,"\int \frac{\exp \left(\log ^2\left(\frac{-25+e^{2+2 x}+e^{2+x} (-40-8 x)-10 x-x^2+e^2 \left(525+185 x+11 x^2-x^3\right)}{e^2 \left(25+10 x+x^2\right)}\right)\right) \left(e^{2+2 x} (16+4 x)+e^{2+x} \left(-320-144 x-16 x^2\right)+e^2 \left(-250-150 x-30 x^2-2 x^3\right)\right) \log \left(\frac{-25+e^{2+2 x}+e^{2+x} (-40-8 x)-10 x-x^2+e^2 \left(525+185 x+11 x^2-x^3\right)}{e^2 \left(25+10 x+x^2\right)}\right)}{-125-75 x-15 x^2-x^3+e^{2+2 x} (5+x)+e^{2+x} \left(-200-80 x-8 x^2\right)+e^2 \left(2625+1450 x+240 x^2+6 x^3-x^4\right)} \, dx","Integrate[(E^Log[(-25 + E^(2 + 2*x) + E^(2 + x)*(-40 - 8*x) - 10*x - x^2 + E^2*(525 + 185*x + 11*x^2 - x^3))/(E^2*(25 + 10*x + x^2))]^2*(E^(2 + 2*x)*(16 + 4*x) + E^(2 + x)*(-320 - 144*x - 16*x^2) + E^2*(-250 - 150*x - 30*x^2 - 2*x^3))*Log[(-25 + E^(2 + 2*x) + E^(2 + x)*(-40 - 8*x) - 10*x - x^2 + E^2*(525 + 185*x + 11*x^2 - x^3))/(E^2*(25 + 10*x + x^2))])/(-125 - 75*x - 15*x^2 - x^3 + E^(2 + 2*x)*(5 + x) + E^(2 + x)*(-200 - 80*x - 8*x^2) + E^2*(2625 + 1450*x + 240*x^2 + 6*x^3 - x^4)),x]","\exp \left(\log ^2\left(-x-\frac{8 e^x}{x+5}+\frac{e^{2 x}}{(x+5)^2}-\frac{1}{e^2}+21\right)\right)","e^{\log ^2\left(\left(\frac{e^x}{x+5}-4\right)^2-x-\frac{1}{e^2}+5\right)}",1,"E^Log[21 - E^(-2) - x + E^(2*x)/(5 + x)^2 - (8*E^x)/(5 + x)]^2","A",1
9032,1,28,23,0.0149857,"\int \frac{1-e^x+2 x \log (3)+2 x \log \left(4 e^6\right)}{\log (3)+\log \left(4 e^6\right)} \, dx","Integrate[(1 - E^x + 2*x*Log[3] + 2*x*Log[4*E^6])/(Log[3] + Log[4*E^6]),x]","\frac{6 x^2+\frac{1}{2} x^2 \log (144)+x-e^x}{6+\log (12)}","x^2+\frac{x-e^x}{\log (3)+\log \left(4 e^6\right)}",1,"(-E^x + x + 6*x^2 + (x^2*Log[144])/2)/(6 + Log[12])","A",1
9033,1,43,25,0.3008471,"\int \frac{\exp \left(2 e^{2 x}-4 e^x \log \left(-e^{e^x}+\log (4)\right)+2 \log ^2\left(-e^{e^x}+\log (4)\right)\right) \left(-100 e^{2 x} \log (4)+100 e^x \log (4) \log \left(-e^{e^x}+\log (4)\right)\right)}{e^{e^x}-\log (4)} \, dx","Integrate[(E^(2*E^(2*x) - 4*E^x*Log[-E^E^x + Log[4]] + 2*Log[-E^E^x + Log[4]]^2)*(-100*E^(2*x)*Log[4] + 100*E^x*Log[4]*Log[-E^E^x + Log[4]]))/(E^E^x - Log[4]),x]","25 e^{2 e^{2 x}+2 \log ^2\left(\log (4)-e^{e^x}\right)} \left(\log (4)-e^{e^x}\right)^{-4 e^x}","25 e^{2 \left(\log \left(\log (4)-e^{e^x}\right)-e^x\right)^2}",1,"(25*E^(2*E^(2*x) + 2*Log[-E^E^x + Log[4]]^2))/(-E^E^x + Log[4])^(4*E^x)","A",1
9034,1,24,28,0.1844072,"\int \frac{-18 x-2 x^3+16 x^4-6 x^3 \log (5)+\left(18 x-6 x^2+48 x^3-18 x^2 \log (5)\right) \log (x)+\left(-6 x+48 x^2-18 x \log (5)\right) \log ^2(x)+(-2+16 x-6 \log (5)) \log ^3(x)}{9 x^3+27 x^2 \log (x)+27 x \log ^2(x)+9 \log ^3(x)} \, dx","Integrate[(-18*x - 2*x^3 + 16*x^4 - 6*x^3*Log[5] + (18*x - 6*x^2 + 48*x^3 - 18*x^2*Log[5])*Log[x] + (-6*x + 48*x^2 - 18*x*Log[5])*Log[x]^2 + (-2 + 16*x - 6*Log[5])*Log[x]^3)/(9*x^3 + 27*x^2*Log[x] + 27*x*Log[x]^2 + 9*Log[x]^3),x]","\frac{1}{9} x \left(x \left(\frac{9}{(x+\log (x))^2}+8\right)-2 (1+\log (125))\right)","x^2+\frac{x^2}{(x+\log (x))^2}-\left(\frac{x+1}{3}+\log (5)\right)^2",1,"(x*(-2*(1 + Log[125]) + x*(8 + 9/(x + Log[x])^2)))/9","A",1
9035,1,17,17,0.1692631,"\int \frac{-e^{-8+4 x}-x-4 e^{-8+4 x} x \log (x)}{x^2+e^{-8+4 x} x \log (x)} \, dx","Integrate[(-E^(-8 + 4*x) - x - 4*E^(-8 + 4*x)*x*Log[x])/(x^2 + E^(-8 + 4*x)*x*Log[x]),x]","-\log \left(e^8 x+e^{4 x} \log (x)\right)","\log \left(\frac{4}{x+e^{4 (x-2)} \log (x)}\right)",1,"-Log[E^8*x + E^(4*x)*Log[x]]","A",1
9036,1,13,14,0.0162607,"\int \frac{3-2 x-\log (13)}{\left(-3 x+x^2+x \log (13)\right) \log ^2\left(\frac{1}{3} \left(3 x-x^2-x \log (13)\right)\right)} \, dx","Integrate[(3 - 2*x - Log[13])/((-3*x + x^2 + x*Log[13])*Log[(3*x - x^2 - x*Log[13])/3]^2),x]","\frac{1}{\log \left(-\frac{1}{3} x (x-3+\log (13))\right)}","\frac{1}{\log \left(x-\frac{1}{3} x (x+\log (13))\right)}",1,"Log[-1/3*(x*(-3 + x + Log[13]))]^(-1)","A",1
9037,1,26,26,0.0755386,"\int \frac{e^{\frac{x^4 \log ^2\left(-e+x-\log \left(2 x^2\right)\right)}{\log ^2(2)}} \left(\left(4 x^3-2 x^4\right) \log \left(-e+x-\log \left(2 x^2\right)\right)+\left(4 e x^3-4 x^4+4 x^3 \log \left(2 x^2\right)\right) \log ^2\left(-e+x-\log \left(2 x^2\right)\right)\right)}{(e-x) \log ^2(2)+\log ^2(2) \log \left(2 x^2\right)} \, dx","Integrate[(E^((x^4*Log[-E + x - Log[2*x^2]]^2)/Log[2]^2)*((4*x^3 - 2*x^4)*Log[-E + x - Log[2*x^2]] + (4*E*x^3 - 4*x^4 + 4*x^3*Log[2*x^2])*Log[-E + x - Log[2*x^2]]^2))/((E - x)*Log[2]^2 + Log[2]^2*Log[2*x^2]),x]","e^{\frac{x^4 \log ^2\left(-\log \left(2 x^2\right)+x-e\right)}{\log ^2(2)}}","e^{\frac{x^4 \log ^2\left(-\log \left(2 x^2\right)+x-e\right)}{\log ^2(2)}}",1,"E^((x^4*Log[-E + x - Log[2*x^2]]^2)/Log[2]^2)","A",1
9038,1,26,22,0.0394023,"\int \frac{33 x+20 x^3+3 x^5+\left(-726+33 x-352 x^2+16 x^3-66 x^4+3 x^5\right) \log (22-x)}{\left(-726 x+33 x^2-440 x^3+20 x^4-66 x^5+3 x^6\right) \log (22-x)} \, dx","Integrate[(33*x + 20*x^3 + 3*x^5 + (-726 + 33*x - 352*x^2 + 16*x^3 - 66*x^4 + 3*x^5)*Log[22 - x])/((-726*x + 33*x^2 - 440*x^3 + 20*x^4 - 66*x^5 + 3*x^6)*Log[22 - x]),x]","-\log \left(x^2+3\right)+\log \left(3 x^2+11\right)+\log (x)+\log (\log (22-x))","\log \left(\left(\frac{2 x}{3 \left(x^2+3\right)}+x\right) \log (22-x)\right)",1,"Log[x] - Log[3 + x^2] + Log[11 + 3*x^2] + Log[Log[22 - x]]","A",1
9039,1,75,30,0.2812786,"\int \frac{2 x^2 \log ^2(4)+e^x \left(-6 x^4+\left(6 x^3-18 x^4-6 x^5\right) \log (4)\right)+\left(-4 x^2 \log (4)+4 x \log ^2(4)+e^x \left(18 x^4+6 x^5+\left(-24 x^3-6 x^4\right) \log (4)\right)\right) \log (x)+\left(2 x^2-4 x \log (4)+2 \log ^2(4)\right) \log ^2(x)}{3 x^2 \log ^2(4)+\left(-6 x^2 \log (4)+6 x \log ^2(4)\right) \log (x)+\left(3 x^2-6 x \log (4)+3 \log ^2(4)\right) \log ^2(x)} \, dx","Integrate[(2*x^2*Log[4]^2 + E^x*(-6*x^4 + (6*x^3 - 18*x^4 - 6*x^5)*Log[4]) + (-4*x^2*Log[4] + 4*x*Log[4]^2 + E^x*(18*x^4 + 6*x^5 + (-24*x^3 - 6*x^4)*Log[4]))*Log[x] + (2*x^2 - 4*x*Log[4] + 2*Log[4]^2)*Log[x]^2)/(3*x^2*Log[4]^2 + (-6*x^2*Log[4] + 6*x*Log[4]^2)*Log[x] + (3*x^2 - 6*x*Log[4] + 3*Log[4]^2)*Log[x]^2),x]","\frac{2}{3} \left(x-\frac{3 e^x x^4 \left(x^2+x \left(4 \log ^2(4)-\log (16)-\log (4) \log (64)\right)+\log ^2(4)\right)}{\left(x^2+x (\log (4)-2) \log (4)+\log ^2(4)\right) (x \log (4)+(\log (4)-x) \log (x))}\right)","x \left(\frac{2 e^x x^2}{\log (x)-\frac{\log (4) (x+\log (x))}{x}}+\frac{2}{3}\right)",1,"(2*(x - (3*E^x*x^4*(x^2 + Log[4]^2 + x*(4*Log[4]^2 - Log[16] - Log[4]*Log[64])))/((x^2 + x*(-2 + Log[4])*Log[4] + Log[4]^2)*(x*Log[4] + (-x + Log[4])*Log[x]))))/3","B",1
9040,0,0,27,1.8024879,"\int \frac{-45+54 x+7 x^2+x^3+\left(-18+18 x+6 x^2\right) \log (3)+(-9+9 x) \log ^2(3)+(-9+9 x) \log (x)}{54 x+6 x^2+x^3+\left(18 x+6 x^2\right) \log (3)+9 x \log ^2(3)+9 x \log (x)} \, dx","Integrate[(-45 + 54*x + 7*x^2 + x^3 + (-18 + 18*x + 6*x^2)*Log[3] + (-9 + 9*x)*Log[3]^2 + (-9 + 9*x)*Log[x])/(54*x + 6*x^2 + x^3 + (18*x + 6*x^2)*Log[3] + 9*x*Log[3]^2 + 9*x*Log[x]),x]","\int \frac{-45+54 x+7 x^2+x^3+\left(-18+18 x+6 x^2\right) \log (3)+(-9+9 x) \log ^2(3)+(-9+9 x) \log (x)}{54 x+6 x^2+x^3+\left(18 x+6 x^2\right) \log (3)+9 x \log ^2(3)+9 x \log (x)} \, dx","x+\log \left(\frac{\left(-\frac{x}{3}-1-\log (3)\right)^2+\log (x)+5}{26 x}\right)",1,"Integrate[(-45 + 54*x + 7*x^2 + x^3 + (-18 + 18*x + 6*x^2)*Log[3] + (-9 + 9*x)*Log[3]^2 + (-9 + 9*x)*Log[x])/(54*x + 6*x^2 + x^3 + (18*x + 6*x^2)*Log[3] + 9*x*Log[3]^2 + 9*x*Log[x]), x]","F",-1
9041,1,69,24,0.0530844,"\int \frac{96 x^5+160 x^6+52 x^7+52 e^{12} x^7+e^9 \left(160 x^6+208 x^7\right)+e^3 \left(192 x^5+480 x^6+208 x^7\right)+e^6 \left(96 x^5+480 x^6+312 x^7\right)}{256+1024 x+1440 x^2+832 x^3+169 x^4+169 e^{12} x^4+e^9 \left(832 x^3+676 x^4\right)+e^3 \left(1024 x+2880 x^2+2496 x^3+676 x^4\right)+e^6 \left(1440 x^2+2496 x^3+1014 x^4\right)} \, dx","Integrate[(96*x^5 + 160*x^6 + 52*x^7 + 52*E^12*x^7 + E^9*(160*x^6 + 208*x^7) + E^3*(192*x^5 + 480*x^6 + 208*x^7) + E^6*(96*x^5 + 480*x^6 + 312*x^7))/(256 + 1024*x + 1440*x^2 + 832*x^3 + 169*x^4 + 169*E^12*x^4 + E^9*(832*x^3 + 676*x^4) + E^3*(1024*x + 2880*x^2 + 2496*x^3 + 676*x^4) + E^6*(1440*x^2 + 2496*x^3 + 1014*x^4)),x]","-\frac{-371293 \left(1+e^3\right)^6 x^6+5887232 \left(1+e^3\right)^2 x^2+14491648 \left(1+e^3\right) x+7245824}{371293 \left(1+e^3\right)^4 \left(13 \left(1+e^3\right)^2 x^2+32 \left(1+e^3\right) x+16\right)}","\frac{x^4}{\left(\frac{4}{\left(1+e^3\right) x}+4\right)^2-3}",1,"-1/371293*(7245824 + 14491648*(1 + E^3)*x + 5887232*(1 + E^3)^2*x^2 - 371293*(1 + E^3)^6*x^6)/((1 + E^3)^4*(16 + 32*(1 + E^3)*x + 13*(1 + E^3)^2*x^2))","B",1
9042,1,27,34,0.1859605,"\int \frac{1800 x+800 e^{2 x} x-135 x^2+3 x^3+e^x \left(-2400 x+90 x^2+50 x^3\right)}{1800+800 e^{2 x}-360 x+18 x^2+e^x (-2400+240 x)} \, dx","Integrate[(1800*x + 800*E^(2*x)*x - 135*x^2 + 3*x^3 + E^x*(-2400*x + 90*x^2 + 50*x^3))/(1800 + 800*E^(2*x) - 360*x + 18*x^2 + E^x*(-2400 + 240*x)),x]","\frac{1}{2} \left(x^2-\frac{5 x^3}{2 \left(3 x+20 e^x-30\right)}\right)","\frac{x^2}{2-\frac{x}{\frac{1}{2} \left(12-\frac{x}{5}\right)-4 e^x}}+e^4",1,"(x^2 - (5*x^3)/(2*(-30 + 20*E^x + 3*x)))/2","A",1
9043,1,27,27,0.6467192,"\int \frac{-75-20 x+10 x^2+e^{e^2+x} \left(-5+10 x-5 x^2\right)}{225 x^2+60 x^3+4 x^4+e^{2 e^2+2 x} \left(1-2 x+x^2\right)+e^{e^2+x} \left(30 x-26 x^2-4 x^3\right)} \, dx","Integrate[(-75 - 20*x + 10*x^2 + E^(E^2 + x)*(-5 + 10*x - 5*x^2))/(225*x^2 + 60*x^3 + 4*x^4 + E^(2*E^2 + 2*x)*(1 - 2*x + x^2) + E^(E^2 + x)*(30*x - 26*x^2 - 4*x^3)),x]","-\frac{5 (x-1)}{x (2 x+15)-e^{x+e^2} (x-1)}","\frac{5}{\frac{(x+16) x}{1-x}-x+e^{x+e^2}}",1,"(-5*(-1 + x))/(-(E^(E^2 + x)*(-1 + x)) + x*(15 + 2*x))","A",1
9044,1,26,26,0.261725,"\int \frac{\exp \left(\frac{-5-3 x+3 \left(65536-512 x+x^2\right)^{2 \log ^2\left(x^2\right)}}{-x+\left(65536-512 x+x^2\right)^{2 \log ^2\left(x^2\right)}}\right) \left(1280 x-5 x^2+\left(65536-512 x+x^2\right)^{2 \log ^2\left(x^2\right)} \left(20 x \log ^2\left(x^2\right)+(-10240+40 x) \log \left(x^2\right) \log \left(65536-512 x+x^2\right)\right)\right)}{-256 x^3+x^4+\left(65536-512 x+x^2\right)^{4 \log ^2\left(x^2\right)} \left(-256 x+x^2\right)+\left(65536-512 x+x^2\right)^{2 \log ^2\left(x^2\right)} \left(512 x^2-2 x^3\right)} \, dx","Integrate[(E^((-5 - 3*x + 3*(65536 - 512*x + x^2)^(2*Log[x^2]^2))/(-x + (65536 - 512*x + x^2)^(2*Log[x^2]^2)))*(1280*x - 5*x^2 + (65536 - 512*x + x^2)^(2*Log[x^2]^2)*(20*x*Log[x^2]^2 + (-10240 + 40*x)*Log[x^2]*Log[65536 - 512*x + x^2])))/(-256*x^3 + x^4 + (65536 - 512*x + x^2)^(4*Log[x^2]^2)*(-256*x + x^2) + (65536 - 512*x + x^2)^(2*Log[x^2]^2)*(512*x^2 - 2*x^3)),x]","e^{3-\frac{5}{\left((x-256)^2\right)^{2 \log ^2\left(x^2\right)}-x}}","e^{\frac{5}{x-\left((x-256)^2\right)^{2 \log ^2\left(x^2\right)}}+3}",1,"E^(3 - 5/(((-256 + x)^2)^(2*Log[x^2]^2) - x))","A",1
9045,1,17,18,0.0042954,"\int \frac{6 x^2-x^3-48 \log (3)}{x^4} \, dx","Integrate[(6*x^2 - x^3 - 48*Log[3])/x^4,x]","\frac{16 \log (3)}{x^3}-\frac{6}{x}-\log (x)","\frac{\frac{16 \log (3)}{x^2}-x \log (x)-6}{x}",1,"-6/x + (16*Log[3])/x^3 - Log[x]","A",1
9046,1,25,26,0.4396015,"\int \frac{e^{3+x} (27-27 x)-18 e^{x^2} x^3-27 \log (\log (3))}{9 e^{6+2 x}+6 e^{3+x+x^2} x+e^{2 x^2} x^2+\left(-18 e^{3+x}-6 e^{x^2} x\right) \log (\log (3))+9 \log ^2(\log (3))} \, dx","Integrate[(E^(3 + x)*(27 - 27*x) - 18*E^x^2*x^3 - 27*Log[Log[3]])/(9*E^(6 + 2*x) + 6*E^(3 + x + x^2)*x + E^(2*x^2)*x^2 + (-18*E^(3 + x) - 6*E^x^2*x)*Log[Log[3]] + 9*Log[Log[3]]^2),x]","\frac{9 x}{e^{x^2} x+3 e^{x+3}-3 \log (\log (3))}","\frac{3 x}{\frac{e^{x^2} x}{3}+e^{x+3}-\log (\log (3))}",1,"(9*x)/(3*E^(3 + x) + E^x^2*x - 3*Log[Log[3]])","A",1
9047,1,22,18,0.7006005,"\int \frac{-2-x+\log (48)+(-3-x+\log (48)) \log \left(-\frac{5}{-3-x+\log (48)}\right)}{-3 x-x^2+x \log (48)+\left(-3 x-x^2+x \log (48)\right) \log \left(-\frac{5}{-3-x+\log (48)}\right)+\left(-3-x+\log (48)+(-3-x+\log (48)) \log \left(-\frac{5}{-3-x+\log (48)}\right)\right) \log \left(1+\log \left(-\frac{5}{-3-x+\log (48)}\right)\right)} \, dx","Integrate[(-2 - x + Log[48] + (-3 - x + Log[48])*Log[-5/(-3 - x + Log[48])])/(-3*x - x^2 + x*Log[48] + (-3*x - x^2 + x*Log[48])*Log[-5/(-3 - x + Log[48])] + (-3 - x + Log[48] + (-3 - x + Log[48])*Log[-5/(-3 - x + Log[48])])*Log[1 + Log[-5/(-3 - x + Log[48])]]),x]","\log \left(-x-\log \left(\log \left(\frac{5}{x+3-\log (48)}\right)+1\right)\right)","\log \left(x+\log \left(\log \left(\frac{5}{x+3-\log (48)}\right)+1\right)\right)",1,"Log[-x - Log[1 + Log[5/(3 + x - Log[48])]]]","A",1
9048,1,30,28,0.0471101,"\int \frac{1}{5} \left(5+e^3+e^{4-2 x+x^2} (2-2 x)-10 x\right) \, dx","Integrate[(5 + E^3 + E^(4 - 2*x + x^2)*(2 - 2*x) - 10*x)/5,x]","\frac{1}{5} \left(-5 x^2-e^{x^2-2 x+4}+e^3 x+5 x\right)","-x^2+x+\frac{1}{5} e^3 \left(x-e^{(1-x)^2}\right)-5",1,"(-E^(4 - 2*x + x^2) + 5*x + E^3*x - 5*x^2)/5","A",1
9049,1,21,23,0.2392116,"\int \frac{100 x^4+e^{x^2} \left(200 x+60 x^2-200 x^3-40 x^4\right)}{e^{2 x^2}+10 e^{x^2} x^2+25 x^4} \, dx","Integrate[(100*x^4 + E^x^2*(200*x + 60*x^2 - 200*x^3 - 40*x^4))/(E^(2*x^2) + 10*E^x^2*x^2 + 25*x^4),x]","\frac{20 x^2 (x+5)}{5 x^2+e^{x^2}}","\frac{4 x^2 (x+5)}{x^2+\frac{e^{x^2}}{5}}",1,"(20*x^2*(5 + x))/(E^x^2 + 5*x^2)","A",1
9050,1,27,22,0.3506342,"\int \frac{-x-128 \log (x)-1908 \log ^2(x)-6240 \log ^3(x)+500 \log ^4(x)}{-x^2-64 x \log ^2(x)-636 x \log ^3(x)-1560 x \log ^4(x)+100 x \log ^5(x)} \, dx","Integrate[(-x - 128*Log[x] - 1908*Log[x]^2 - 6240*Log[x]^3 + 500*Log[x]^4)/(-x^2 - 64*x*Log[x]^2 - 636*x*Log[x]^3 - 1560*x*Log[x]^4 + 100*x*Log[x]^5),x]","\log \left(x-100 \log ^5(x)+1560 \log ^4(x)+636 \log ^3(x)+64 \log ^2(x)\right)","\log \left(4 (\log (x)-16) \left(5 \log ^2(x)+\log (x)\right)^2-x\right)",1,"Log[x + 64*Log[x]^2 + 636*Log[x]^3 + 1560*Log[x]^4 - 100*Log[x]^5]","A",1
9051,1,18,18,0.0204298,"\int \frac{e^{e^x} \left(-1+e^x \left(-17+e^2-x\right)\right)}{\log (3)} \, dx","Integrate[(E^E^x*(-1 + E^x*(-17 + E^2 - x)))/Log[3],x]","\frac{e^{e^x} \left(-x+e^2-17\right)}{\log (3)}","\frac{e^{e^x} \left(-x+e^2-17\right)}{\log (3)}",1,"(E^E^x*(-17 + E^2 - x))/Log[3]","A",1
9052,1,18,20,0.0323749,"\int e^{4 e^{1+\log ^2(5)} x} \left(-4 x^3-4 e^{1+\log ^2(5)} x^4\right) \, dx","Integrate[E^(4*E^(1 + Log[5]^2)*x)*(-4*x^3 - 4*E^(1 + Log[5]^2)*x^4),x]","x^4 \left(-e^{4 x e^{1+\log ^2(5)}}\right)","2-x^4 e^{4 x e^{1+\log ^2(5)}}",1,"-(E^(4*E^(1 + Log[5]^2)*x)*x^4)","A",1
9053,1,29,17,0.0057602,"\int \frac{5+20 x+x^2+8 e^2 x^2+12 x^3+2 x^2 \log (x)}{4 x} \, dx","Integrate[(5 + 20*x + x^2 + 8*E^2*x^2 + 12*x^3 + 2*x^2*Log[x])/(4*x),x]","x^3+e^2 x^2+\frac{1}{4} x^2 \log (x)+5 x+\frac{5 \log (x)}{4}","\left(x^2+5\right) \left(x+\frac{\log (x)}{4}+e^2\right)",1,"5*x + E^2*x^2 + x^3 + (5*Log[x])/4 + (x^2*Log[x])/4","A",1
9054,1,7,15,0.0000793,"\int (5+2 x) \, dx","Integrate[5 + 2*x,x]","x^2+5 x","x^2+5 x+\left(\log ^2(9)-1\right)^2",1,"5*x + x^2","A",1
9055,1,32,34,0.4370298,"\int \frac{224 x+64 x^2-10 x^3-3 x^4+e^x \left(-64 x^3-48 x^4-12 x^5-x^6+e^{\frac{-10 x-3 x^2}{4+x}} \left(-32 x+8 x^2+14 x^3+2 x^4\right)\right)}{16+8 x+x^2} \, dx","Integrate[(224*x + 64*x^2 - 10*x^3 - 3*x^4 + E^x*(-64*x^3 - 48*x^4 - 12*x^5 - x^6 + E^((-10*x - 3*x^2)/(4 + x))*(-32*x + 8*x^2 + 14*x^3 + 2*x^4)))/(16 + 8*x + x^2),x]","x^2 \left(-e^x x^2-x-e^{-\frac{2 x (x+3)}{x+4}}+7\right)","x^2 \left(-e^x \left(x+\frac{e^{x \left(\frac{2}{x+4}-3\right)}}{x}\right) x-x+7\right)",1,"x^2*(7 - E^((-2*x*(3 + x))/(4 + x)) - x - E^x*x^2)","A",1
9056,1,33,24,0.7320185,"\int \frac{130 x^3+e^{2 x} \left(78 x+52 x^2\right)+e^x \left(208 x^2+52 x^3\right)+26 \log (2)}{12 e^{4 x} x^5+48 e^{3 x} x^6+12 x^9+12 x^6 \log (2)+3 x^3 \log ^2(2)+e^{2 x} \left(72 x^7+12 x^4 \log (2)\right)+e^x \left(48 x^8+24 x^5 \log (2)\right)} \, dx","Integrate[(130*x^3 + E^(2*x)*(78*x + 52*x^2) + E^x*(208*x^2 + 52*x^3) + 26*Log[2])/(12*E^(4*x)*x^5 + 48*E^(3*x)*x^6 + 12*x^9 + 12*x^6*Log[2] + 3*x^3*Log[2]^2 + E^(2*x)*(72*x^7 + 12*x^4*Log[2]) + E^x*(48*x^8 + 24*x^5*Log[2])),x]","-\frac{13}{3 x^2 \left(2 x^3+4 e^x x^2+2 e^{2 x} x+\log (2)\right)}","5-\frac{13}{3 x^2 \left(2 x \left(x+e^x\right)^2+\log (2)\right)}",1,"-13/(3*x^2*(2*E^(2*x)*x + 4*E^x*x^2 + 2*x^3 + Log[2]))","A",1
9057,1,14,18,0.097359,"\int \frac{e^x \left(21-3 x-3 \log ^2(5)\right)}{-125+75 x-15 x^2+x^3+\left(75-30 x+3 x^2\right) \log ^2(5)+(-15+3 x) \log ^4(5)+\log ^6(5)} \, dx","Integrate[(E^x*(21 - 3*x - 3*Log[5]^2))/(-125 + 75*x - 15*x^2 + x^3 + (75 - 30*x + 3*x^2)*Log[5]^2 + (-15 + 3*x)*Log[5]^4 + Log[5]^6),x]","-\frac{3 e^x}{\left(x-5+\log ^2(5)\right)^2}","3 \left(2-\frac{e^x}{\left(x-5+\log ^2(5)\right)^2}\right)",1,"(-3*E^x)/(-5 + x + Log[5]^2)^2","A",1
9058,1,12,22,0.0072725,"\int \frac{e^x (-4-4 x)-4 e^x x \log (x)}{x} \, dx","Integrate[(E^x*(-4 - 4*x) - 4*E^x*x*Log[x])/x,x]","-4 \left(e^x+e^x \log (x)\right)","4 \left(-e^x-e^x \log (x)+e^5-9\right)+\log (4)",1,"-4*(E^x + E^x*Log[x])","A",1
9059,1,20,23,0.2713998,"\int \frac{1}{8} \exp \left(16+\frac{1}{8} e^{-e^{16+7 x+x^2}}-e^{16+7 x+x^2}+7 x+x^2\right) (-7-2 x) \, dx","Integrate[(E^(16 + 1/(8*E^E^(16 + 7*x + x^2)) - E^(16 + 7*x + x^2) + 7*x + x^2)*(-7 - 2*x))/8,x]","e^{\frac{1}{8} e^{-e^{x^2+7 x+16}}}","e^{\frac{1}{8} e^{-e^{(-x-4)^2-x}}}",1,"E^(1/(8*E^E^(16 + 7*x + x^2)))","A",1
9060,1,19,19,0.0650817,"\int 8 \exp \left(e^{\frac{8}{5} x^5 (i \pi +\log (4))}+\frac{8}{5} x^5 (i \pi +\log (4))\right) x^4 (i \pi +\log (4)) \, dx","Integrate[8*E^(E^((8*x^5*(I*Pi + Log[4]))/5) + (8*x^5*(I*Pi + Log[4]))/5)*x^4*(I*Pi + Log[4]),x]","e^{e^{\frac{8}{5} x^5 (\log (4)+i \pi )}}","e^{e^{\frac{8}{5} x^5 (\log (4)+i \pi )}}",1,"E^E^((8*x^5*(I*Pi + Log[4]))/5)","A",1
9061,1,24,25,0.4606343,"\int \frac{e^{-x/9} \left(4 e^{x/9} x^2+e^{\frac{e^{-x/9} \left(e^{x/9} (-81-x)+45 x\right)}{x}} \left(324 e^{x/9}-20 x^2\right)\right)}{x^2} \, dx","Integrate[(4*E^(x/9)*x^2 + E^((E^(x/9)*(-81 - x) + 45*x)/(E^(x/9)*x))*(324*E^(x/9) - 20*x^2))/(E^(x/9)*x^2),x]","4 x+4 e^{45 e^{-x/9}-\frac{81}{x}-1}","4 \left(x+e^{\frac{45 e^{-x/9} x-x-81}{x}}\right)",1,"4*E^(-1 + 45/E^(x/9) - 81/x) + 4*x","A",1
9062,1,15,15,0.2335187,"\int \frac{-x+e^x x+\left(e^x-x-\log (3)\right) \log \left(e^x-x-\log (3)\right) \log \left(\log \left(e^x-x-\log (3)\right)\right)}{\left(e^x-x-\log (3)\right) \log \left(e^x-x-\log (3)\right)} \, dx","Integrate[(-x + E^x*x + (E^x - x - Log[3])*Log[E^x - x - Log[3]]*Log[Log[E^x - x - Log[3]]])/((E^x - x - Log[3])*Log[E^x - x - Log[3]]),x]","x \log \left(\log \left(-x+e^x-\log (3)\right)\right)","x \log \left(\log \left(-x+e^x-\log (3)\right)\right)",1,"x*Log[Log[E^x - x - Log[3]]]","A",1
9063,1,17,21,0.0192137,"\int \frac{14049280-5 e^x-48168960 x+55050240 x^2-20971520 x^3}{377801998336+e^{2 x}-3454189699072 x+13816758796288 x^2-31581162962944 x^3+45115947089920 x^4-41248865910784 x^5+23570780520448 x^6-7696581394432 x^7+1099511627776 x^8+e^x \left(1229312-5619712 x+9633792 x^2-7340032 x^3+2097152 x^4\right)} \, dx","Integrate[(14049280 - 5*E^x - 48168960*x + 55050240*x^2 - 20971520*x^3)/(377801998336 + E^(2*x) - 3454189699072*x + 13816758796288*x^2 - 31581162962944*x^3 + 45115947089920*x^4 - 41248865910784*x^5 + 23570780520448*x^6 - 7696581394432*x^7 + 1099511627776*x^8 + E^x*(1229312 - 5619712*x + 9633792*x^2 - 7340032*x^3 + 2097152*x^4)),x]","\frac{5}{256 (7-8 x)^4+e^x}","\frac{5}{16 (4 (4-4 x)-2)^4+e^x}",1,"5/(E^x + 256*(7 - 8*x)^4)","A",1
9064,1,85,32,0.35961,"\int \frac{\exp \left(\frac{-x+(-16-4 x) \left(i \pi -\log \left(\frac{5}{2}\right)\right)+(4+x) \log (x)}{-4 \left(i \pi -\log \left(\frac{5}{2}\right)\right)+\log (x)}\right) \left(-1-4 \left(i \pi -\log \left(\frac{5}{2}\right)\right)-16 \left(i \pi -\log \left(\frac{5}{2}\right)\right)^2+\left(1+8 \left(i \pi -\log \left(\frac{5}{2}\right)\right)\right) \log (x)-\log ^2(x)\right)}{16 \left(i \pi -\log \left(\frac{5}{2}\right)\right)^2-8 \left(i \pi -\log \left(\frac{5}{2}\right)\right) \log (x)+\log ^2(x)} \, dx","Integrate[(E^((-x + (-16 - 4*x)*(I*Pi - Log[5/2]) + (4 + x)*Log[x])/(-4*(I*Pi - Log[5/2]) + Log[x]))*(-1 - 4*(I*Pi - Log[5/2]) - 16*(I*Pi - Log[5/2])^2 + (1 + 8*(I*Pi - Log[5/2]))*Log[x] - Log[x]^2))/(16*(I*Pi - Log[5/2])^2 - 8*(I*Pi - Log[5/2])*Log[x] + Log[x]^2),x]","x^{(x+4) \left(-\frac{1}{\log (x)}+\frac{1}{\log (x)-4 i \pi +4 \log \left(\frac{5}{2}\right)}\right)} \left(-\exp \left(x+\frac{4 \pi  (x+4)+i \left(x \left(4 \log \left(\frac{5}{2}\right)-1\right)+16 \log \left(\frac{5}{2}\right)\right)}{i \log (x)+4 \pi +4 i \log \left(\frac{5}{2}\right)}+4\right)\right)","3-e^{x+\frac{x}{-\log (x)+4 \left(-\log \left(\frac{5}{2}\right)+i \pi \right)}+4}",1,"-(E^(4 + x + (4*Pi*(4 + x) + I*(16*Log[5/2] + x*(-1 + 4*Log[5/2])))/(4*Pi + (4*I)*Log[5/2] + I*Log[x]))*x^((4 + x)*(-Log[x]^(-1) + ((-4*I)*Pi + 4*Log[5/2] + Log[x])^(-1))))","B",0
9065,1,27,28,0.2252842,"\int \frac{-1-4 x^2+e^{2+x+\left(-16-8 x-x^2\right) \log (7)} \left(-2 x^2+\left(16 x^2+4 x^3\right) \log (7)\right)}{2 x^2} \, dx","Integrate[(-1 - 4*x^2 + E^(2 + x + (-16 - 8*x - x^2)*Log[7])*(-2*x^2 + (16*x^2 + 4*x^3)*Log[7]))/(2*x^2),x]","-2 x-7^{-(x+4)^2} e^{x+2}+\frac{1}{2 x}","-2 x+\frac{1}{2 x}-e^{x+(x+4)^2 (-\log (7))+2}+e",1,"-(E^(2 + x)/7^(4 + x)^2) + 1/(2*x) - 2*x","A",1
9066,1,26,33,0.177355,"\int \frac{-e^{2 x} x^4+2 \log (x)+(-4-2 x) \log ^2(x)+\left(-6 e^{2 x} x^4+e^{2 x} x^4 \log (x)-\log ^2(x)\right) \log \left(\frac{e^{-2 x} \left(6 e^{2 x} x^4-e^{2 x} x^4 \log (x)+\log ^2(x)\right)}{x^4}\right)}{6 e^{2 x} x^6-e^{2 x} x^6 \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(-(E^(2*x)*x^4) + 2*Log[x] + (-4 - 2*x)*Log[x]^2 + (-6*E^(2*x)*x^4 + E^(2*x)*x^4*Log[x] - Log[x]^2)*Log[(6*E^(2*x)*x^4 - E^(2*x)*x^4*Log[x] + Log[x]^2)/(E^(2*x)*x^4)])/(6*E^(2*x)*x^6 - E^(2*x)*x^6*Log[x] + x^2*Log[x]^2),x]","\frac{\log \left(\frac{e^{-2 x} \log ^2(x)}{x^4}-\log (x)+6\right)}{x}+2","\frac{\log \left(\frac{e^{-2 x} \left(1-\frac{x+\log (x)}{x}\right)^2}{x^2}-\log (x)+6\right)}{x}",1,"2 + Log[6 - Log[x] + Log[x]^2/(E^(2*x)*x^4)]/x","A",1
9067,1,21,23,0.2655205,"\int \frac{e^{-\frac{x^2}{-1+x}} \left(2+16 x-4 x^2-2 x^3+e^4 \left(4 x-2 x^2\right)\right)}{1-2 x+x^2} \, dx","Integrate[(2 + 16*x - 4*x^2 - 2*x^3 + E^4*(4*x - 2*x^2))/(E^(x^2/(-1 + x))*(1 - 2*x + x^2)),x]","2 e^{\frac{x^2}{1-x}} \left(x+e^4+5\right)","2 e^{\frac{x}{1-x}-x} \left(x+e^4+5\right)",1,"2*E^(x^2/(1 - x))*(5 + E^4 + x)","A",1
9068,1,21,22,0.1588587,"\int \frac{-e^{\frac{1+e^{21}+2 x}{x}} x+e^{\frac{1+e^{21}+2 x}{x}} \left(-1-e^{21}-x\right) \log (x)}{x^3 \log ^2(x)} \, dx","Integrate[(-(E^((1 + E^21 + 2*x)/x)*x) + E^((1 + E^21 + 2*x)/x)*(-1 - E^21 - x)*Log[x])/(x^3*Log[x]^2),x]","\frac{e^{\frac{1+e^{21}}{x}+2}}{x \log (x)}","\frac{e^{\frac{2 x+e^{21}+1}{x}}}{x \log (x)}",1,"E^(2 + (1 + E^21)/x)/(x*Log[x])","A",1
9069,1,8,8,0.0528614,"\int \frac{1+2 e^{x^2} x}{e^{x^2}+x} \, dx","Integrate[(1 + 2*E^x^2*x)/(E^x^2 + x),x]","\log \left(e^{x^2}+x\right)","\log \left(e^{x^2}+x\right)",1,"Log[E^x^2 + x]","A",1
9070,1,26,26,0.0283129,"\int \frac{1}{2} e^{-2+e^{x^2}-2 x} \left(-17 e^{2+x}+e^{-e^{x^2}+x} (10-10 x)+34 e^{2+x+x^2} x\right) \, dx","Integrate[(E^(-2 + E^x^2 - 2*x)*(-17*E^(2 + x) + E^(-E^x^2 + x)*(10 - 10*x) + 34*E^(2 + x + x^2)*x))/2,x]","\frac{1}{2} e^{-x-2} \left(17 e^{e^{x^2}+2}+10 x\right)","\frac{17}{2} e^{e^{x^2}-x}+5 e^{-x-2} x",1,"(E^(-2 - x)*(17*E^(2 + E^x^2) + 10*x))/2","A",1
9071,0,0,33,1.3733515,"\int \frac{e^{16} x-e^{4+x} x+\left(-98 e^{16}-112 e^{16} x \log (3)-60 e^{16} x^2 \log ^2(3)-16 e^{16} x^3 \log ^3(3)-2 e^{16} x^4 \log ^4(3)+e^{4+x} \left(98+98 x+\left(112 x+112 x^2\right) \log (3)+\left(60 x^2+60 x^3\right) \log ^2(3)+\left(16 x^3+16 x^4\right) \log ^3(3)+\left(2 x^4+2 x^5\right) \log ^4(3)\right)\right) \log \left(e^{16} x-e^{4+x} x\right)+\left(-56 e^{16} x \log (3)-60 e^{16} x^2 \log ^2(3)-24 e^{16} x^3 \log ^3(3)-4 e^{16} x^4 \log ^4(3)+e^{4+x} \left(56 x \log (3)+60 x^2 \log ^2(3)+24 x^3 \log ^3(3)+4 x^4 \log ^4(3)\right)\right) \log ^2\left(e^{16} x-e^{4+x} x\right)}{-e^{16} x+e^{4+x} x} \, dx","Integrate[(E^16*x - E^(4 + x)*x + (-98*E^16 - 112*E^16*x*Log[3] - 60*E^16*x^2*Log[3]^2 - 16*E^16*x^3*Log[3]^3 - 2*E^16*x^4*Log[3]^4 + E^(4 + x)*(98 + 98*x + (112*x + 112*x^2)*Log[3] + (60*x^2 + 60*x^3)*Log[3]^2 + (16*x^3 + 16*x^4)*Log[3]^3 + (2*x^4 + 2*x^5)*Log[3]^4))*Log[E^16*x - E^(4 + x)*x] + (-56*E^16*x*Log[3] - 60*E^16*x^2*Log[3]^2 - 24*E^16*x^3*Log[3]^3 - 4*E^16*x^4*Log[3]^4 + E^(4 + x)*(56*x*Log[3] + 60*x^2*Log[3]^2 + 24*x^3*Log[3]^3 + 4*x^4*Log[3]^4))*Log[E^16*x - E^(4 + x)*x]^2)/(-(E^16*x) + E^(4 + x)*x),x]","\int \frac{e^{16} x-e^{4+x} x+\left(-98 e^{16}-112 e^{16} x \log (3)-60 e^{16} x^2 \log ^2(3)-16 e^{16} x^3 \log ^3(3)-2 e^{16} x^4 \log ^4(3)+e^{4+x} \left(98+98 x+\left(112 x+112 x^2\right) \log (3)+\left(60 x^2+60 x^3\right) \log ^2(3)+\left(16 x^3+16 x^4\right) \log ^3(3)+\left(2 x^4+2 x^5\right) \log ^4(3)\right)\right) \log \left(e^{16} x-e^{4+x} x\right)+\left(-56 e^{16} x \log (3)-60 e^{16} x^2 \log ^2(3)-24 e^{16} x^3 \log ^3(3)-4 e^{16} x^4 \log ^4(3)+e^{4+x} \left(56 x \log (3)+60 x^2 \log ^2(3)+24 x^3 \log ^3(3)+4 x^4 \log ^4(3)\right)\right) \log ^2\left(e^{16} x-e^{4+x} x\right)}{-e^{16} x+e^{4+x} x} \, dx","\left((x \log (3)+2)^2+3\right)^2 \log ^2\left(\left(e^{16}-e^{x+4}\right) x\right)-x",1,"Integrate[(E^16*x - E^(4 + x)*x + (-98*E^16 - 112*E^16*x*Log[3] - 60*E^16*x^2*Log[3]^2 - 16*E^16*x^3*Log[3]^3 - 2*E^16*x^4*Log[3]^4 + E^(4 + x)*(98 + 98*x + (112*x + 112*x^2)*Log[3] + (60*x^2 + 60*x^3)*Log[3]^2 + (16*x^3 + 16*x^4)*Log[3]^3 + (2*x^4 + 2*x^5)*Log[3]^4))*Log[E^16*x - E^(4 + x)*x] + (-56*E^16*x*Log[3] - 60*E^16*x^2*Log[3]^2 - 24*E^16*x^3*Log[3]^3 - 4*E^16*x^4*Log[3]^4 + E^(4 + x)*(56*x*Log[3] + 60*x^2*Log[3]^2 + 24*x^3*Log[3]^3 + 4*x^4*Log[3]^4))*Log[E^16*x - E^(4 + x)*x]^2)/(-(E^16*x) + E^(4 + x)*x), x]","F",-1
9072,1,113,32,1.3189368,"\int \frac{-3 x-8 x^2+x^3-8 x^4-x^5+\left(-6 x^2+3 x^3\right) \log (2)+\left(45+15 x+30 x^3+10 x^4\right) \log (3+x)}{270-90 x-30 x^2-170 x^3+20 x^5+30 x^6+10 x^7+\left(-540 x+60 x^3+180 x^4+60 x^5\right) \log (2)+\left(270 x^2+90 x^3\right) \log ^2(2)} \, dx","Integrate[(-3*x - 8*x^2 + x^3 - 8*x^4 - x^5 + (-6*x^2 + 3*x^3)*Log[2] + (45 + 15*x + 30*x^3 + 10*x^4)*Log[3 + x])/(270 - 90*x - 30*x^2 - 170*x^3 + 20*x^5 + 30*x^6 + 10*x^7 + (-540*x + 60*x^3 + 180*x^4 + 60*x^5)*Log[2] + (270*x^2 + 90*x^3)*Log[2]^2),x]","\frac{x \left(x \left(2717+4 \log ^4(8)+68 \log ^3(8)-6 \log ^2(8) (\log (64)-25)+\log (8) (319-3 \log (64))+30 \log (64)\right)-5 \left(2717+4 \log ^4(8)+56 \log ^3(8)+144 \log ^2(8)+379 \log (8)\right) \log (x+3)\right)}{10 (11+\log (8)) \left(247+4 \log ^3(8)+12 \log ^2(8)+12 \log (8)\right) \left(x^3+x+x \log (8)-3\right)}","\frac{\log (x+3)-\frac{x}{5}}{2 \left(-x^2+\frac{3}{x}-1-3 \log (2)\right)}",1,"(x*(x*(2717 + 68*Log[8]^3 + 4*Log[8]^4 + Log[8]*(319 - 3*Log[64]) - 6*Log[8]^2*(-25 + Log[64]) + 30*Log[64]) - 5*(2717 + 379*Log[8] + 144*Log[8]^2 + 56*Log[8]^3 + 4*Log[8]^4)*Log[3 + x]))/(10*(11 + Log[8])*(-3 + x + x^3 + x*Log[8])*(247 + 12*Log[8] + 12*Log[8]^2 + 4*Log[8]^3))","B",1
9073,1,4,10,0.0004065,"\int \frac{1+x}{x} \, dx","Integrate[(1 + x)/x,x]","x+\log (x)","x+\log (x)+\frac{1}{e^3}-\frac{28}{3}",1,"x + Log[x]","A",1
9074,1,62,29,0.1268254,"\int \frac{-50-350 x-1600 x^3-2000 x^4+2400 x^5+1600 x^6+e^{2 x} (-18+18 x)+e^x \left(-60-180 x+210 x^2-240 x^3-120 x^4\right)}{9 x^3} \, dx","Integrate[(-50 - 350*x - 1600*x^3 - 2000*x^4 + 2400*x^5 + 1600*x^6 + E^(2*x)*(-18 + 18*x) + E^x*(-60 - 180*x + 210*x^2 - 240*x^3 - 120*x^4))/(9*x^3),x]","\frac{1}{9} \left(400 x^4+800 x^3-1000 x^2+e^x \left(\frac{30}{x^2}-120 x+\frac{210}{x}-120\right)+\frac{9 e^{2 x}}{x^2}+\frac{25}{x^2}-1600 x+\frac{350}{x}\right)","\left(\frac{e^x}{x}-\frac{5 (x-1) \left((2 x+2)^2-3\right)}{3 x}\right)^2",1,"(E^x*(-120 + 30/x^2 + 210/x - 120*x) + 25/x^2 + (9*E^(2*x))/x^2 + 350/x - 1600*x - 1000*x^2 + 800*x^3 + 400*x^4)/9","B",1
9075,1,40,29,0.3040858,"\int \frac{e^{-1-e^x} \left(-16 e^{2 x} x-15 x^2-15 e^2 x^2+e^x \left(-16+16 x+15 x^3+15 e^2 x^3\right)\right)}{16 x^2+16 e^2 x^2} \, dx","Integrate[(E^(-1 - E^x)*(-16*E^(2*x)*x - 15*x^2 - 15*E^2*x^2 + E^x*(-16 + 16*x + 15*x^3 + 15*E^2*x^3)))/(16*x^2 + 16*E^2*x^2),x]","\frac{e^{-e^x} \left(\frac{16 e^{x-1}}{x}-\frac{15 \left(1+e^2\right) x}{e}\right)}{16 \left(1+e^2\right)}","e^{-e^x-1} \left(\frac{e^x}{e^2 x+x}-\frac{15 x}{16}\right)",1,"((16*E^(-1 + x))/x - (15*(1 + E^2)*x)/E)/(16*E^E^x*(1 + E^2))","A",1
9076,1,28,29,0.3542317,"\int \frac{1}{2} \left(4 e^{2 x}+e^{-e^x+\frac{3}{2} e^{-e^x-x+x^4}-x+x^4} \left(3+3 e^x-12 x^3\right)\right) \, dx","Integrate[(4*E^(2*x) + E^(-E^x + (3*E^(-E^x - x + x^4))/2 - x + x^4)*(3 + 3*E^x - 12*x^3))/2,x]","e^{2 x}-e^{\frac{3}{2} e^{x^4-x-e^x}}","-e^{\frac{3}{2} e^{x^4-x-e^x}}+e^{2 x}-1",1,"-E^((3*E^(-E^x - x + x^4))/2) + E^(2*x)","A",1
9077,1,19,24,0.0537791,"\int \frac{2+e^x \left(-25 e^4-2 x\right)+50 e^4 x+4 x^2}{25 e^4+2 x} \, dx","Integrate[(2 + E^x*(-25*E^4 - 2*x) + 50*E^4*x + 4*x^2)/(25*E^4 + 2*x),x]","x^2-e^x+\log \left(2 x+25 e^4\right)","x^2+\log \left(\frac{1}{4} e^{-e^x} \left(\frac{2 x}{e^4}+25\right)\right)",1,"-E^x + x^2 + Log[25*E^4 + 2*x]","A",1
9078,1,23,23,0.0192477,"\int \frac{2+4 x+4 x^2+2 x^3+e^3 \left(-2-2 x-2 x^2\right)+e^4 \left(2+2 x+2 x^2\right)+\left(-2-2 x-2 x^2\right) \log \left(\frac{3+3 x}{x}\right)}{x+x^2} \, dx","Integrate[(2 + 4*x + 4*x^2 + 2*x^3 + E^3*(-2 - 2*x - 2*x^2) + E^4*(2 + 2*x + 2*x^2) + (-2 - 2*x - 2*x^2)*Log[(3 + 3*x)/x])/(x + x^2),x]","\left(x-\log \left(\frac{3}{x}+3\right)+e^4-e^3+1\right)^2","\left(-x+\log \left(\frac{3}{x}+3\right)-e^4+e^3-1\right)^2",1,"(1 - E^3 + E^4 + x - Log[3 + 3/x])^2","A",1
9079,1,19,22,0.0099011,"\int \frac{-4+3 x+8 x^2-8 x^3+2 x^4}{8 x^3-8 x^4+2 x^5} \, dx","Integrate[(-4 + 3*x + 8*x^2 - 8*x^3 + 2*x^4)/(8*x^3 - 8*x^4 + 2*x^5),x]","\frac{1}{2} \left(2 \log (x)-\frac{1}{(x-2) x^2}\right)","\frac{1}{2 (2-x) x^2}+\log \left(\frac{x}{5}\right)-1",1,"(-(1/((-2 + x)*x^2)) + 2*Log[x])/2","A",1
9080,1,51,27,0.0409258,"\int \frac{3456 x^3+6912 x^4-8 x^5-2 x^6+\left(1728 x^2+864 x^3-1728 x^4\right) \log (x)+\left(288 x-720 x^2-864 x^3\right) \log ^2(x)+\left(16-184 x-144 x^2\right) \log ^3(x)+(-12-8 x) \log ^4(x)}{4 x^4+4 x^5+x^6} \, dx","Integrate[(3456*x^3 + 6912*x^4 - 8*x^5 - 2*x^6 + (1728*x^2 + 864*x^3 - 1728*x^4)*Log[x] + (288*x - 720*x^2 - 864*x^3)*Log[x]^2 + (16 - 184*x - 144*x^2)*Log[x]^3 + (-12 - 8*x)*Log[x]^4)/(4*x^4 + 4*x^5 + x^6),x]","\frac{2 \left(864 x^3 \log (x)+216 x^2 \log ^2(x)-x^3 \left(x^2+2 x+2596\right)+\log ^4(x)+24 x \log ^3(x)\right)}{x^3 (x+2)}","\frac{2 \left(2-x \left(x-\left(\frac{\log (x)}{x}+6\right)^4-1\right)\right)}{x+2}",1,"(2*(-(x^3*(2596 + 2*x + x^2)) + 864*x^3*Log[x] + 216*x^2*Log[x]^2 + 24*x*Log[x]^3 + Log[x]^4))/(x^3*(2 + x))","A",1
9081,1,20,23,0.0421348,"\int \frac{-3+15 x-106 x^2+294 x^3-516 x^4+588 x^5-420 x^6+156 x^7+6 x^8-34 x^9+14 x^{10}-2 x^{11}+\left(-2+26 x-138 x^2+402 x^3-708 x^4+756 x^5-420 x^6-12 x^7+198 x^8-142 x^9+46 x^{10}-6 x^{11}\right) \log (x)}{-1+9 x-36 x^2+84 x^3-126 x^4+126 x^5-84 x^6+36 x^7-9 x^8+x^9} \, dx","Integrate[(-3 + 15*x - 106*x^2 + 294*x^3 - 516*x^4 + 588*x^5 - 420*x^6 + 156*x^7 + 6*x^8 - 34*x^9 + 14*x^10 - 2*x^11 + (-2 + 26*x - 138*x^2 + 402*x^3 - 708*x^4 + 756*x^5 - 420*x^6 - 12*x^7 + 198*x^8 - 142*x^9 + 46*x^10 - 6*x^11)*Log[x])/(-1 + 9*x - 36*x^2 + 84*x^3 - 126*x^4 + 126*x^5 - 84*x^6 + 36*x^7 - 9*x^8 + x^9),x]","x \left(\frac{1}{(x-1)^8}-2 \left(x^2+2 x-1\right) \log (x)\right)","\frac{x}{(x-1)^8}-2 \left(x^2 (x+2)-x\right) \log (x)",1,"x*((-1 + x)^(-8) - 2*(-1 + 2*x + x^2)*Log[x])","A",1
9082,1,18,18,0.0069074,"\int \frac{5-20 x+x^2}{-250+55 x-13 x^2+x^3} \, dx","Integrate[(5 - 20*x + x^2)/(-250 + 55*x - 13*x^2 + x^3),x]","\log \left(x^2-3 x+25\right)-\log (10-x)","\log \left(\frac{(x+9) x}{10-x}-x+5\right)",1,"-Log[10 - x] + Log[25 - 3*x + x^2]","A",1
9083,1,60,30,0.1246924,"\int \frac{\exp \left(-2 e^{5/3}+\frac{e^{-2 e^{5/3}} \left(-4 x^7+e^{2 e^{5/3}} \left(1-4 x+x^2-4 x^3-x^5\right)+e^{e^{5/3}} \left(8 x^4+4 x^6\right)\right)}{x}\right) \left(-24 x^7+e^{2 e^{5/3}} \left(-1+x^2-8 x^3-4 x^5\right)+e^{e^{5/3}} \left(24 x^4+20 x^6\right)\right)}{x^2} \, dx","Integrate[(E^(-2*E^(5/3) + (-4*x^7 + E^(2*E^(5/3))*(1 - 4*x + x^2 - 4*x^3 - x^5) + E^E^(5/3)*(8*x^4 + 4*x^6))/(E^(2*E^(5/3))*x))*(-24*x^7 + E^(2*E^(5/3))*(-1 + x^2 - 8*x^3 - 4*x^5) + E^E^(5/3)*(24*x^4 + 20*x^6)))/x^2,x]","\exp \left(-4 e^{-2 e^{5/3}} x^6+4 e^{-e^{5/3}} x^5-x^4+8 e^{-e^{5/3}} x^3-4 x^2+x+\frac{1}{x}-4\right)","\exp \left(-\left(-2 e^{-e^{5/3}} x^3+x^2+2\right)^2+x+\frac{1}{x}\right)",1,"E^(-4 + x^(-1) + x - 4*x^2 + (8*x^3)/E^E^(5/3) - x^4 + (4*x^5)/E^E^(5/3) - (4*x^6)/E^(2*E^(5/3)))","A",1
9084,1,36,28,0.1316107,"\int \frac{e^x \left(5-9 x+5 x^2\right)+\left(30 x^2-30 x^3\right) \log (5)+\left(e^x \left(-1+2 x-x^2\right)+\left(-6 x^2+6 x^3\right) \log (5)\right) \log (1-x)+\left(e^x \left(-5+10 x-5 x^2\right)+e^x \left(1-2 x+x^2\right) \log (1-x)\right) \log (5-\log (1-x))}{30 x^2-30 x^3+\left(-6 x^2+6 x^3\right) \log (1-x)} \, dx","Integrate[(E^x*(5 - 9*x + 5*x^2) + (30*x^2 - 30*x^3)*Log[5] + (E^x*(-1 + 2*x - x^2) + (-6*x^2 + 6*x^3)*Log[5])*Log[1 - x] + (E^x*(-5 + 10*x - 5*x^2) + E^x*(1 - 2*x + x^2)*Log[1 - x])*Log[5 - Log[1 - x]])/(30*x^2 - 30*x^3 + (-6*x^2 + 6*x^3)*Log[1 - x]),x]","\frac{1}{6} \left(-\frac{e^x}{x}+6 x \log (5)+\frac{e^x \log (5-\log (1-x))}{x}\right)","x \log (5)+\frac{e^x (\log (5-\log (1-x))-1)}{6 x}",1,"(-(E^x/x) + 6*x*Log[5] + (E^x*Log[5 - Log[1 - x]])/x)/6","A",1
9085,1,16,21,0.0046973,"\int \frac{43+16 x+15 x^2}{1+16 x+15 x^2} \, dx","Integrate[(43 + 16*x + 15*x^2)/(1 + 16*x + 15*x^2),x]","x-3 \log (x+1)+3 \log (15 x+1)","x+3 \log \left(\frac{\left(\frac{1}{5 x}+3\right) x}{x+1}\right)",1,"x - 3*Log[1 + x] + 3*Log[1 + 15*x]","A",1
9086,1,47,39,0.1872413,"\int \frac{e^x \left(-90+180 x-1090 x^2+2165 x^3-1835 x^4+580 x^5-10 x^6-10 x^7+5 x^8\right)+e^x \left(45-60 x+165 x^2-300 x^3+150 x^4+75 x^5-105 x^6+30 x^7\right) \log \left(x^2-2 x^3+9 x^4-20 x^5+36 x^6-58 x^7+70 x^8-56 x^9+28 x^{10}-8 x^{11}+x^{12}\right)+e^x \left(45-90 x+225 x^2-450 x^3+450 x^4-225 x^5+45 x^6\right) \log ^2\left(x^2-2 x^3+9 x^4-20 x^5+36 x^6-58 x^7+70 x^8-56 x^9+28 x^{10}-8 x^{11}+x^{12}\right)}{-9 x^2+3 x^3-31 x^4+31 x^5-4 x^6-9 x^7+2 x^8+x^9+\left(-18 x^2+12 x^3-66 x^4+84 x^5-36 x^6-6 x^7+6 x^8\right) \log \left(x^2-2 x^3+9 x^4-20 x^5+36 x^6-58 x^7+70 x^8-56 x^9+28 x^{10}-8 x^{11}+x^{12}\right)+\left(-9 x^2+9 x^3-36 x^4+54 x^5-36 x^6+9 x^7\right) \log ^2\left(x^2-2 x^3+9 x^4-20 x^5+36 x^6-58 x^7+70 x^8-56 x^9+28 x^{10}-8 x^{11}+x^{12}\right)} \, dx","Integrate[(E^x*(-90 + 180*x - 1090*x^2 + 2165*x^3 - 1835*x^4 + 580*x^5 - 10*x^6 - 10*x^7 + 5*x^8) + E^x*(45 - 60*x + 165*x^2 - 300*x^3 + 150*x^4 + 75*x^5 - 105*x^6 + 30*x^7)*Log[x^2 - 2*x^3 + 9*x^4 - 20*x^5 + 36*x^6 - 58*x^7 + 70*x^8 - 56*x^9 + 28*x^10 - 8*x^11 + x^12] + E^x*(45 - 90*x + 225*x^2 - 450*x^3 + 450*x^4 - 225*x^5 + 45*x^6)*Log[x^2 - 2*x^3 + 9*x^4 - 20*x^5 + 36*x^6 - 58*x^7 + 70*x^8 - 56*x^9 + 28*x^10 - 8*x^11 + x^12]^2)/(-9*x^2 + 3*x^3 - 31*x^4 + 31*x^5 - 4*x^6 - 9*x^7 + 2*x^8 + x^9 + (-18*x^2 + 12*x^3 - 66*x^4 + 84*x^5 - 36*x^6 - 6*x^7 + 6*x^8)*Log[x^2 - 2*x^3 + 9*x^4 - 20*x^5 + 36*x^6 - 58*x^7 + 70*x^8 - 56*x^9 + 28*x^10 - 8*x^11 + x^12] + (-9*x^2 + 9*x^3 - 36*x^4 + 54*x^5 - 36*x^6 + 9*x^7)*Log[x^2 - 2*x^3 + 9*x^4 - 20*x^5 + 36*x^6 - 58*x^7 + 70*x^8 - 56*x^9 + 28*x^10 - 8*x^11 + x^12]^2),x]","\frac{5 e^x \left(1-\frac{3}{3 \log \left(x^2 \left(x^5-4 x^4+6 x^3-4 x^2+x-1\right)^2\right)+x+3}\right)}{x}","\frac{5 e^x}{\frac{x}{\log \left(\left((1-x)^4 x^2-x\right)^2\right)+\frac{x}{3}}+x}-4",1,"(5*E^x*(1 - 3/(3 + x + 3*Log[x^2*(-1 + x - 4*x^2 + 6*x^3 - 4*x^4 + x^5)^2])))/x","A",1
9087,1,73,24,0.0187059,"\int \frac{1}{25} \left(25+200 x-60 x^2+4 x^3+500 x^4-60 x^5+200 x^7+\left(-200 x+20 x^2-100 x^4\right) \log (x)+\left(-200 x+30 x^2-250 x^4\right) \log ^2(x)+100 x \log ^3(x)+50 x \log ^4(x)\right) \, dx","Integrate[(25 + 200*x - 60*x^2 + 4*x^3 + 500*x^4 - 60*x^5 + 200*x^7 + (-200*x + 20*x^2 - 100*x^4)*Log[x] + (-200*x + 30*x^2 - 250*x^4)*Log[x]^2 + 100*x*Log[x]^3 + 50*x*Log[x]^4)/25,x]","x^8-\frac{2 x^6}{5}+4 x^5-2 x^5 \log ^2(x)+\frac{x^4}{25}-\frac{4 x^3}{5}+\frac{2}{5} x^3 \log ^2(x)+4 x^2+x^2 \log ^4(x)-4 x^2 \log ^2(x)+x","\left(x^4+2 x-\frac{1}{5} x \left(x+5 \log ^2(x)\right)\right)^2+x",1,"x + 4*x^2 - (4*x^3)/5 + x^4/25 + 4*x^5 - (2*x^6)/5 + x^8 - 4*x^2*Log[x]^2 + (2*x^3*Log[x]^2)/5 - 2*x^5*Log[x]^2 + x^2*Log[x]^4","B",1
9088,1,19,19,0.0202782,"\int \frac{e^{\frac{2 x+\frac{-x-\log (x)}{x^2}}{x}} \left(x+\frac{-1+2 x+3 \log (x)}{x^2}\right)}{x} \, dx","Integrate[(E^((2*x + (-x - Log[x])/x^2)/x)*(x + (-1 + 2*x + 3*Log[x])/x^2))/x,x]","e^{2-\frac{1}{x^2}} x^{1-\frac{1}{x^3}}","x e^{2-\frac{\frac{\log (x)}{x}+1}{x^2}}",1,"E^(2 - x^(-2))*x^(1 - x^(-3))","A",1
9089,1,15,17,0.001129,"\int \frac{-1+8 x-8 x^2}{4 x} \, dx","Integrate[(-1 + 8*x - 8*x^2)/(4*x),x]","-x^2+2 x-\frac{\log (x)}{4}","-x^2+2 x-\frac{\log (x)}{4}+e-3",1,"2*x - x^2 - Log[x]/4","A",1
9090,1,34,25,0.1317284,"\int \frac{\exp \left(\exp \left(\frac{1}{2} \left(18+8 x+x^2+(-144-36 x) \log (3)+324 \log ^2(3)\right)\right)\right) \left(-1+\exp \left(\frac{1}{2} \left(18+8 x+x^2+(-144-36 x) \log (3)+324 \log ^2(3)\right)\right) \left(4 x+x^2-18 x \log (3)\right)\right)}{x^2} \, dx","Integrate[(E^E^((18 + 8*x + x^2 + (-144 - 36*x)*Log[3] + 324*Log[3]^2)/2)*(-1 + E^((18 + 8*x + x^2 + (-144 - 36*x)*Log[3] + 324*Log[3]^2)/2)*(4*x + x^2 - 18*x*Log[3])))/x^2,x]","\frac{e^{3^{-18 x-72} e^{\frac{x^2}{2}+4 x+9+162 \log ^2(3)}}}{x}","\frac{e^{e^{\frac{1}{2} (-x-4+18 \log (3))^2+1}}}{x}",1,"E^(3^(-72 - 18*x)*E^(9 + 4*x + x^2/2 + 162*Log[3]^2))/x","A",1
9091,1,16,26,0.0591532,"\int \frac{20 x-15 x^2}{\left(-4-10 x^2+5 x^3\right) \log \left(4+10 x^2-5 x^3\right)} \, dx","Integrate[(20*x - 15*x^2)/((-4 - 10*x^2 + 5*x^3)*Log[4 + 10*x^2 - 5*x^3]),x]","-\log \left(\log \left(-5 x^3+10 x^2+4\right)\right)","-\log \left(\log \left(2 \left(2-\frac{5}{2} (x-2) x^2\right)\right)\right)+3-\log \left(\frac{5}{2}\right)",1,"-Log[Log[4 + 10*x^2 - 5*x^3]]","A",1
9092,1,4,6,0.0002538,"\int \frac{5}{x} \, dx","Integrate[5/x,x]","5 \log (x)","5 \log (x)+4",1,"5*Log[x]","A",1
9093,1,28,26,0.1980343,"\int \frac{3 e^{1+16 x^2}-2 x^2-64 x^4}{e^{1+16 x^2} x-2 x^3} \, dx","Integrate[(3*E^(1 + 16*x^2) - 2*x^2 - 64*x^4)/(E^(1 + 16*x^2)*x - 2*x^3),x]","16 x^2-\log \left(e^{16 x^2+1}-2 x^2\right)+3 \log (x)","\log \left(\frac{2 x^3}{3 \left(2-4 e^{-16 x^2-1} x^2\right)}\right)",1,"16*x^2 + 3*Log[x] - Log[E^(1 + 16*x^2) - 2*x^2]","A",1
9094,1,32,31,0.5769293,"\int \frac{-16 e^{4 x}+288 x-576 x^2+e^{e^{5-x}} \left(e^{4 x} \left(-1-9 e^{5-x}\right)+18 x-36 x^2\right)}{144 e^{4 x}+9 e^{e^{5-x}+4 x}} \, dx","Integrate[(-16*E^(4*x) + 288*x - 576*x^2 + E^E^(5 - x)*(E^(4*x)*(-1 - 9*E^(5 - x)) + 18*x - 36*x^2))/(144*E^(4*x) + 9*E^(E^(5 - x) + 4*x)),x]","\frac{1}{9} \left(9 e^{-4 x} x^2-x+9 \log \left(e^{e^{5-x}}+16\right)\right)","e^{-4 x} x^2+\frac{1}{9} (-x-1)+\log \left(e^{e^{5-x}}+16\right)",1,"(-x + (9*x^2)/E^(4*x) + 9*Log[16 + E^E^(5 - x)])/9","A",1
9095,1,42,29,0.2974064,"\int \frac{30+30 x+e^4 \left(10+25 x+15 x^2\right)+\left(3 x+e^4 \left(-15 x-15 x^2\right)\right) \log (x)+e^4 (15+15 x) \log ^2(x)+(-3-3 x) \log (1+x)}{e^4 \left(15 x+15 x^2\right) \log ^2(x)} \, dx","Integrate[(30 + 30*x + E^4*(10 + 25*x + 15*x^2) + (3*x + E^4*(-15*x - 15*x^2))*Log[x] + E^4*(15 + 15*x)*Log[x]^2 + (-3 - 3*x)*Log[1 + x])/(E^4*(15*x + 15*x^2)*Log[x]^2),x]","-\frac{3 e^4 x+2 e^4+6}{3 e^4 \log (x)}+\log (x)+\frac{\log (x+1)}{5 e^4 \log (x)}","\log (x)+\frac{-x+\frac{\frac{1}{5} \log (x+1)-2}{e^4}-\frac{2}{3}}{\log (x)}",1,"-1/3*(6 + 2*E^4 + 3*E^4*x)/(E^4*Log[x]) + Log[x] + Log[1 + x]/(5*E^4*Log[x])","A",1
9096,1,14,23,0.0078028,"\int \frac{-196608-49152 e-4608 e^2-192 e^3-3 e^4-x^2}{x^2} \, dx","Integrate[(-196608 - 49152*E - 4608*E^2 - 192*E^3 - 3*E^4 - x^2)/x^2,x]","\frac{3 (16+e)^4}{x}-x","2 \left(\frac{3 (16+e)^4}{2 x}-x\right)+x+\frac{11}{5}",1,"(3*(16 + E)^4)/x - x","A",1
9097,1,27,22,0.1311681,"\int \frac{e^{-x} \left(2+\left(-1+e^x\right) \log (x)-x \log ^2(x)-x \log (x) \log \left(\frac{100 \log ^2(x)}{x^2}\right)\right)}{x \log (x)} \, dx","Integrate[(2 + (-1 + E^x)*Log[x] - x*Log[x]^2 - x*Log[x]*Log[(100*Log[x]^2)/x^2])/(E^x*x*Log[x]),x]","e^{-x} \log \left(\frac{100 \log ^2(x)}{x^2}\right)+e^{-x} \log (x)+\log (x)","e^{-x} \left(\log \left(\frac{100 \log ^2(x)}{x^2}\right)+\log (x)\right)+\log (x)",1,"Log[x] + Log[x]/E^x + Log[(100*Log[x]^2)/x^2]/E^x","A",1
9098,1,18,18,0.002043,"\int \frac{1}{18} \left(e^4 x+e^4 x \log \left(\frac{x^2}{5}\right)\right) \, dx","Integrate[(E^4*x + E^4*x*Log[x^2/5])/18,x]","\frac{1}{36} e^4 x^2 \log \left(\frac{x^2}{5}\right)","\frac{1}{36} e^4 x^2 \log \left(\frac{x^2}{5}\right)",1,"(E^4*x^2*Log[x^2/5])/36","A",1
9099,1,24,25,0.4275001,"\int \frac{7198-28800 x+e^x \left(3150-10800 x-7200 x^2\right)}{91125000-2186392500 x+21860281350 x^2-116581690799 x^3+349764501600 x^4-559716480000 x^5+373248000000 x^6+e^{3 x} \left(11390625-273375000 x+2733750000 x^2-14580000000 x^3+43740000000 x^4-69984000000 x^5+46656000000 x^6\right)+e^{2 x} \left(68343750-1640098125 x+16400070000 x^2-87465420000 x^3+262401120000 x^4-419865120000 x^5+279936000000 x^6\right)+e^x \left(136687500-3279892500 x+32795280675 x^2-174901685400 x^3+524724490800 x^4-839652480000 x^5+559872000000 x^6\right)} \, dx","Integrate[(7198 - 28800*x + E^x*(3150 - 10800*x - 7200*x^2))/(91125000 - 2186392500*x + 21860281350*x^2 - 116581690799*x^3 + 349764501600*x^4 - 559716480000*x^5 + 373248000000*x^6 + E^(3*x)*(11390625 - 273375000*x + 2733750000*x^2 - 14580000000*x^3 + 43740000000*x^4 - 69984000000*x^5 + 46656000000*x^6) + E^(2*x)*(68343750 - 1640098125*x + 16400070000*x^2 - 87465420000*x^3 + 262401120000*x^4 - 419865120000*x^5 + 279936000000*x^6) + E^x*(136687500 - 3279892500*x + 32795280675*x^2 - 174901685400*x^3 + 524724490800*x^4 - 839652480000*x^5 + 559872000000*x^6)),x]","\frac{1}{\left(7200 x^2+225 e^x (1-4 x)^2-3599 x+450\right)^2}","\frac{1}{\left(\frac{225 \left(e^x+2\right) \left(4 x^2-x\right)^2}{x^2}+x\right)^2}",1,"(450 + 225*E^x*(1 - 4*x)^2 - 3599*x + 7200*x^2)^(-2)","A",1
9100,1,19,19,0.210046,"\int \frac{-20 x+5 e^4 x+e^{\frac{2+x}{x}} (10+5 x)}{16 x-8 e^4 x+e^8 x+e^{\frac{2 (2+x)}{x}} x+e^{\frac{2+x}{x}} \left(-8 x+2 e^4 x\right)} \, dx","Integrate[(-20*x + 5*E^4*x + E^((2 + x)/x)*(10 + 5*x))/(16*x - 8*E^4*x + E^8*x + E^((2*(2 + x))/x)*x + E^((2 + x)/x)*(-8*x + 2*E^4*x)),x]","\frac{5 x}{e^{\frac{2}{x}+1}-4+e^4}","\frac{5 x}{e^{\frac{2}{x}+1}-4+e^4}",1,"(5*x)/(-4 + E^4 + E^(1 + 2/x))","A",1
9101,1,34,31,0.1076521,"\int \frac{2 x \log (x)+\left(-x+\left(x+x^2-x^3\right) \log (x)\right) \log \left(2 x^2\right)+\left(-2 \log (x)+\left(-1+x^2\right) \log (x) \log \left(2 x^2\right)\right) \log (\log (x))+\left(2 x^2 \log (x)-2 x \log (x) \log (\log (x))\right) \log \left(\frac{e^x}{-x+\log (\log (x))}\right)}{-x^3 \log (5) \log (x) \log ^2\left(2 x^2\right)+x^2 \log (5) \log (x) \log ^2\left(2 x^2\right) \log (\log (x))} \, dx","Integrate[(2*x*Log[x] + (-x + (x + x^2 - x^3)*Log[x])*Log[2*x^2] + (-2*Log[x] + (-1 + x^2)*Log[x]*Log[2*x^2])*Log[Log[x]] + (2*x^2*Log[x] - 2*x*Log[x]*Log[Log[x]])*Log[E^x/(-x + Log[Log[x]])])/(-(x^3*Log[5]*Log[x]*Log[2*x^2]^2) + x^2*Log[5]*Log[x]*Log[2*x^2]^2*Log[Log[x]]),x]","\frac{x \log \left(\frac{e^x}{\log (\log (x))-x}\right)+1}{x \log (5) \log \left(2 x^2\right)}","\frac{\frac{1}{x}+\log \left(\frac{e^x}{\log (\log (x))-x}\right)}{\log (5) \log \left(2 x^2\right)}",1,"(1 + x*Log[E^x/(-x + Log[Log[x]])])/(x*Log[5]*Log[2*x^2])","A",1
9102,1,53,31,0.0582105,"\int \frac{-32 x+48 x^2+32 x^3-12 x^4-18 x^5-4 x^6+e^{e^x+x} \left(1+3 x+3 x^2+x^3\right)+e^{x^2} \left(-2 x-6 x^2-6 x^3-2 x^4\right)}{1+3 x+3 x^2+x^3} \, dx","Integrate[(-32*x + 48*x^2 + 32*x^3 - 12*x^4 - 18*x^5 - 4*x^6 + E^(E^x + x)*(1 + 3*x + 3*x^2 + x^3) + E^x^2*(-2*x - 6*x^2 - 6*x^3 - 2*x^4))/(1 + 3*x + 3*x^2 + x^3),x]","-e^{x^2}-(x+1)^4+2 (x+1)^3+9 (x+1)^2-20 (x+1)+e^{e^x}+\frac{50}{x+1}-\frac{25}{(x+1)^2}","-\left(x^2-\frac{5 x}{x+1}+x\right)^2-e^{x^2}+e^{e^x}-5",1,"E^E^x - E^x^2 - 25/(1 + x)^2 + 50/(1 + x) - 20*(1 + x) + 9*(1 + x)^2 + 2*(1 + x)^3 - (1 + x)^4","A",1
9103,1,23,26,1.8964129,"\int \frac{1-3 x^2+e^x \left(-x+x^3\right)}{-3 x+3 x^3+e^5 \left(x-x^3\right)+e^x \left(-x+x^3\right)+\left(-x+x^3\right) \log \left(-\frac{3}{-x+x^3}\right)} \, dx","Integrate[(1 - 3*x^2 + E^x*(-x + x^3))/(-3*x + 3*x^3 + E^5*(x - x^3) + E^x*(-x + x^3) + (-x + x^3)*Log[-3/(-x + x^3)]),x]","\log \left(\log \left(\frac{3}{x-x^3}\right)+e^x-e^5+3\right)","\log \left(\log \left(\frac{3}{x \left(1-x^2\right)}\right)+e^x-e^5+3\right)",1,"Log[3 - E^5 + E^x + Log[3/(x - x^3)]]","A",1
9104,1,13,14,0.0745638,"\int \frac{12+e^{2 x}+e^x (-12-2 x)+x^2}{e^{2 x}-2 e^x x+x^2} \, dx","Integrate[(12 + E^(2*x) + E^x*(-12 - 2*x) + x^2)/(E^(2*x) - 2*E^x*x + x^2),x]","x+\frac{12}{e^x-x}","x-\frac{12}{x-e^x}+1",1,"12/(E^x - x) + x","A",1
9105,1,217,32,0.941347,"\int \frac{\exp \left(\frac{-1-9 x^2+6 x^4-24 x^5+35 x^6-16 x^7-22 x^8+56 x^9-70 x^{10}+56 x^{11}-28 x^{12}+8 x^{13}-x^{14}+e^{4 x} \left(-45 x^2+9 x^3+30 x^4-126 x^5+199 x^6-115 x^7-94 x^8+302 x^9-406 x^{10}+350 x^{11}-196 x^{12}+68 x^{13}-13 x^{14}+x^{15}\right)}{9 x^2-6 x^4+24 x^5-35 x^6+16 x^7+22 x^8-56 x^9+70 x^{10}-56 x^{11}+28 x^{12}-8 x^{13}+x^{14}}\right) \left(-6+6 x^2-32 x^3+60 x^4-48 x^5+14 x^6+e^{4 x} \left(513 x^3-108 x^4-513 x^5+2160 x^6-3339 x^7+1296 x^8+4112 x^9-10244 x^{10}+12684 x^{11}-7652 x^{12}-3481 x^{13}+14652 x^{14}-20265 x^{15}+18708 x^{16}-12573 x^{17}+6160 x^{18}-2134 x^{19}+492 x^{20}-67 x^{21}+4 x^{22}\right)\right)}{-27 x^3+27 x^5-108 x^6+153 x^7-36 x^8-224 x^9+492 x^{10}-564 x^{11}+284 x^{12}+243 x^{13}-720 x^{14}+915 x^{15}-792 x^{16}+495 x^{17}-220 x^{18}+66 x^{19}-12 x^{20}+x^{21}} \, dx","Integrate[(E^((-1 - 9*x^2 + 6*x^4 - 24*x^5 + 35*x^6 - 16*x^7 - 22*x^8 + 56*x^9 - 70*x^10 + 56*x^11 - 28*x^12 + 8*x^13 - x^14 + E^(4*x)*(-45*x^2 + 9*x^3 + 30*x^4 - 126*x^5 + 199*x^6 - 115*x^7 - 94*x^8 + 302*x^9 - 406*x^10 + 350*x^11 - 196*x^12 + 68*x^13 - 13*x^14 + x^15))/(9*x^2 - 6*x^4 + 24*x^5 - 35*x^6 + 16*x^7 + 22*x^8 - 56*x^9 + 70*x^10 - 56*x^11 + 28*x^12 - 8*x^13 + x^14))*(-6 + 6*x^2 - 32*x^3 + 60*x^4 - 48*x^5 + 14*x^6 + E^(4*x)*(513*x^3 - 108*x^4 - 513*x^5 + 2160*x^6 - 3339*x^7 + 1296*x^8 + 4112*x^9 - 10244*x^10 + 12684*x^11 - 7652*x^12 - 3481*x^13 + 14652*x^14 - 20265*x^15 + 18708*x^16 - 12573*x^17 + 6160*x^18 - 2134*x^19 + 492*x^20 - 67*x^21 + 4*x^22)))/(-27*x^3 + 27*x^5 - 108*x^6 + 153*x^7 - 36*x^8 - 224*x^9 + 492*x^10 - 564*x^11 + 284*x^12 + 243*x^13 - 720*x^14 + 915*x^15 - 792*x^16 + 495*x^17 - 220*x^18 + 66*x^19 - 12*x^20 + x^21),x]","\exp \left(\frac{e^{4 x} x^{15}-\left(13 e^{4 x}+1\right) x^{14}+\left(68 e^{4 x}+8\right) x^{13}-28 \left(7 e^{4 x}+1\right) x^{12}+14 \left(25 e^{4 x}+4\right) x^{11}-14 \left(29 e^{4 x}+5\right) x^{10}+\left(302 e^{4 x}+56\right) x^9-2 \left(47 e^{4 x}+11\right) x^8-\left(115 e^{4 x}+16\right) x^7+\left(199 e^{4 x}+35\right) x^6-6 \left(21 e^{4 x}+4\right) x^5+6 \left(5 e^{4 x}+1\right) x^4+9 e^{4 x} x^3-9 \left(5 e^{4 x}+1\right) x^2-1}{x^2 \left(x^6-4 x^5+6 x^4-4 x^3+x^2-3\right)^2}\right)","\exp \left(-\frac{1}{x^2 \left(3-(x-1)^4 x^2\right)^2}+e^{4 x} (x-5)-1\right)",1,"E^((-1 - 9*(1 + 5*E^(4*x))*x^2 + 9*E^(4*x)*x^3 + 6*(1 + 5*E^(4*x))*x^4 - 6*(4 + 21*E^(4*x))*x^5 + (35 + 199*E^(4*x))*x^6 - (16 + 115*E^(4*x))*x^7 - 2*(11 + 47*E^(4*x))*x^8 + (56 + 302*E^(4*x))*x^9 - 14*(5 + 29*E^(4*x))*x^10 + 14*(4 + 25*E^(4*x))*x^11 - 28*(1 + 7*E^(4*x))*x^12 + (8 + 68*E^(4*x))*x^13 - (1 + 13*E^(4*x))*x^14 + E^(4*x)*x^15)/(x^2*(-3 + x^2 - 4*x^3 + 6*x^4 - 4*x^5 + x^6)^2))","B",1
9106,1,6,6,0.0016304,"\int \frac{2 x^2}{-x+x^3} \, dx","Integrate[(2*x^2)/(-x + x^3),x]","\log \left(x^2-1\right)","\log \left(x^2-1\right)",1,"Log[-1 + x^2]","A",1
9107,1,48,25,0.0062704,"\int \frac{25+36 x-72 x^2+6 x^3-48 x^4-6 x^6+\left(-18+36 x+18 x^3\right) \log (x)}{25 x} \, dx","Integrate[(25 + 36*x - 72*x^2 + 6*x^3 - 48*x^4 - 6*x^6 + (-18 + 36*x + 18*x^3)*Log[x])/(25*x),x]","-\frac{x^6}{25}-\frac{12 x^4}{25}+\frac{6}{25} x^3 \log (x)-\frac{36 x^2}{25}-\frac{9 \log ^2(x)}{25}+\frac{36}{25} x \log (x)+\log (x)","-\frac{1}{25} x^2 \left(x^2-\frac{3 \log (x)}{x}+6\right)^2+\log (x)+2",1,"(-36*x^2)/25 - (12*x^4)/25 - x^6/25 + Log[x] + (36*x*Log[x])/25 + (6*x^3*Log[x])/25 - (9*Log[x]^2)/25","A",1
9108,1,18,23,0.0651296,"\int \frac{1+e^{e^{e^4}}+x^4-4 x^4 \log (x)}{x \log ^2(x)} \, dx","Integrate[(1 + E^E^E^4 + x^4 - 4*x^4*Log[x])/(x*Log[x]^2),x]","-\frac{x^4+e^{e^{e^4}}+1}{\log (x)}","\frac{-x^4+\log (x)-e^{e^{e^4}}-1}{\log (x)}",1,"-((1 + E^E^E^4 + x^4)/Log[x])","A",1
9109,1,13,13,0.0298844,"\int \frac{-2 e^{e^{\frac{1}{4 x^8}}+\frac{1}{4 x^8}}+x^9}{x^9} \, dx","Integrate[(-2*E^(E^(1/(4*x^8)) + 1/(4*x^8)) + x^9)/x^9,x]","e^{e^{\frac{1}{4 x^8}}}+x","e^{e^{\frac{1}{4 x^8}}}+x",1,"E^E^(1/(4*x^8)) + x","A",1
9110,1,79,31,0.1569162,"\int \frac{4000-4000 x+e \left(960 x^2-320 x^3-400 x^4+160 x^5\right)+\left(-400 x+400 x^2+e \left(-16 x^4+16 x^5-4 x^6\right)\right) \log (4)+\left(10 x^2-10 x^3\right) \log ^2(4)}{1600 x^2-1600 x^3+400 x^4+\left(-160 x^3+160 x^4-40 x^5\right) \log (4)+\left(4 x^4-4 x^5+x^6\right) \log ^2(4)} \, dx","Integrate[(4000 - 4000*x + E*(960*x^2 - 320*x^3 - 400*x^4 + 160*x^5) + (-400*x + 400*x^2 + E*(-16*x^4 + 16*x^5 - 4*x^6))*Log[4] + (10*x^2 - 10*x^3)*Log[4]^2)/(1600*x^2 - 1600*x^3 + 400*x^4 + (-160*x^3 + 160*x^4 - 40*x^5)*Log[4] + (4*x^4 - 4*x^5 + x^6)*Log[4]^2),x]","-2 \left(\frac{5}{4 x}+\frac{e x \log (16)}{\log ^2(4)}+5 \left(\frac{1}{8-4 x}+\frac{8 e \left(3 \log ^4(4)-40 \log ^3(4)-500 \log ^2(4)+1000 \log (16)+200 \log (4) \log (16)\right)}{(\log (4)-10)^2 \log ^3(4) (x \log (4)-20)}\right)\right)","\frac{5}{(x-2) x}-\frac{e (-x-3) x}{5-\frac{1}{4} x \log (4)}",1,"-2*(5/(4*x) + (E*x*Log[16])/Log[4]^2 + 5*((8 - 4*x)^(-1) + (8*E*(-500*Log[4]^2 - 40*Log[4]^3 + 3*Log[4]^4 + 1000*Log[16] + 200*Log[4]*Log[16]))/((-10 + Log[4])^2*Log[4]^3*(-20 + x*Log[4]))))","B",1
9111,1,28,32,0.4073642,"\int \frac{-36 x+36 x^2+\left(3 x-3 x^2\right) \log (x)+\left(33 x-108 x^2+\left(-3 x+9 x^2\right) \log (x)\right) \log (2 x)+(-36 x+3 x \log (x)+(72 x-6 x \log (x)) \log (2 x)) \log \left(\frac{-12+\log (x)}{8 x}\right)}{(-12+\log (x)) \log ^2(2 x)} \, dx","Integrate[(-36*x + 36*x^2 + (3*x - 3*x^2)*Log[x] + (33*x - 108*x^2 + (-3*x + 9*x^2)*Log[x])*Log[2*x] + (-36*x + 3*x*Log[x] + (72*x - 6*x*Log[x])*Log[2*x])*Log[(-12 + Log[x])/(8*x)])/((-12 + Log[x])*Log[2*x]^2),x]","\frac{3 x^2 \left(x-\log \left(\frac{\log (x)-12}{8 x}\right)-1\right)}{\log (2 x)}","\frac{3 x^2 \left(x-\log \left(\frac{\frac{\log (x)}{4}-3}{2 x}\right)-1\right)}{\log (2 x)}",1,"(3*x^2*(-1 + x - Log[(-12 + Log[x])/(8*x)]))/Log[2*x]","A",1
9112,1,74,26,0.2264936,"\int \frac{-2 x+14 e^3 x-24 e^6 x+\left(-2 e^3+6 e^6\right) \log \left(5 e^x\right)}{x^2-8 e^3 x^2+e^6 \left(-3+16 x^2\right)+\left(2 e^3 x-8 e^6 x\right) \log \left(5 e^x\right)+e^6 \log ^2\left(5 e^x\right)} \, dx","Integrate[(-2*x + 14*E^3*x - 24*E^6*x + (-2*E^3 + 6*E^6)*Log[5*E^x])/(x^2 - 8*E^3*x^2 + E^6*(-3 + 16*x^2) + (2*E^3*x - 8*E^6*x)*Log[5*E^x] + E^6*Log[5*E^x]^2),x]","-\frac{2 \left(3 e^3-1\right) \log \left(-8 e^3 x^2+x^2+e^6 \left(16 x^2-3\right)+e^6 \log ^2\left(5 e^x\right)+\left(2 e^3 x-8 e^6 x\right) \log \left(5 e^x\right)\right)}{6 e^3-2}","\log \left(\frac{1}{4 \left(\left(\frac{x}{e^3}-4 x+\log \left(5 e^x\right)\right)^2-3\right)}\right)",1,"(-2*(-1 + 3*E^3)*Log[x^2 - 8*E^3*x^2 + E^6*(-3 + 16*x^2) + (2*E^3*x - 8*E^6*x)*Log[5*E^x] + E^6*Log[5*E^x]^2])/(-2 + 6*E^3)","B",1
9113,1,25,15,0.0586005,"\int \frac{x^3+3 x^4+3 x^5+x^6+(-2-2 x) \log (x)+(2+4 x) \log ^2(x)}{x^3+3 x^4+3 x^5+x^6} \, dx","Integrate[(x^3 + 3*x^4 + 3*x^5 + x^6 + (-2 - 2*x)*Log[x] + (2 + 4*x)*Log[x]^2)/(x^3 + 3*x^4 + 3*x^5 + x^6),x]","\frac{x^3 (x+1)^2-\log ^2(x)}{x^2 (x+1)^2}","x-\frac{\log ^2(x)}{\left(x^2+x\right)^2}",1,"(x^3*(1 + x)^2 - Log[x]^2)/(x^2*(1 + x)^2)","A",1
9114,1,34,28,0.4645212,"\int \frac{e^{\frac{6+6 x-15 x^2-5 x^3}{3 x^2+x^3}} \left(-180-216 x-96 x^2-21 x^3-6 x^4-x^5\right)}{7875 x^3+8400 x^4+3290 x^5+560 x^6+35 x^7} \, dx","Integrate[(E^((6 + 6*x - 15*x^2 - 5*x^3)/(3*x^2 + x^3))*(-180 - 216*x - 96*x^2 - 21*x^3 - 6*x^4 - x^5))/(7875*x^3 + 8400*x^4 + 3290*x^5 + 560*x^6 + 35*x^7),x]","\frac{e^{\frac{2}{x^2}-\frac{4}{3 (x+3)}+\frac{4}{3 x}-5}}{35 (x+5)}","\frac{e^{\frac{2}{x^2}+\frac{4}{x (x+3)}-5}}{35 (x+5)}",1,"E^(-5 + 2/x^2 + 4/(3*x) - 4/(3*(3 + x)))/(35*(5 + x))","A",1
9115,1,24,22,0.0097983,"\int \frac{8-4 x+3 x^3+x^3 \log \left(3 x^3\right)}{x^3 \log (4)} \, dx","Integrate[(8 - 4*x + 3*x^3 + x^3*Log[3*x^3])/(x^3*Log[4]),x]","\frac{x \log \left(3 x^3\right)-\frac{4}{x^2}+\frac{4}{x}}{\log (4)}","\frac{x \left(\frac{4 x-4}{x^3}+\log \left(3 x^3\right)\right)}{\log (4)}",1,"(-4/x^2 + 4/x + x*Log[3*x^3])/Log[4]","A",1
9116,1,18,19,0.1841846,"\int 4 e^{-8+\frac{4 \left(25 x-4 x^3-x^3 \log (4)\right)}{e^8}} \left(25-12 x^2-3 x^2 \log (4)\right) \, dx","Integrate[4*E^(-8 + (4*(25*x - 4*x^3 - x^3*Log[4]))/E^8)*(25 - 12*x^2 - 3*x^2*Log[4]),x]","e^{-\frac{4 x \left(x^2 (4+\log (4))-25\right)}{e^8}}","e^{\frac{4 x \left(25-x^2 (4+\log (4))\right)}{e^8}}",1,"E^((-4*x*(-25 + x^2*(4 + Log[4])))/E^8)","A",1
9117,1,37,23,0.9148671,"\int \frac{3-x+e^x \left(-3-5 x-x^2+x^3\right) \log (16)+\left(-x+e^x \left(1+x^2\right) \log (16)\right) \log \left(x+e^x \left(-1-x^2\right) \log (16)\right) \log \left(\log \left(x+e^x \left(-1-x^2\right) \log (16)\right)\right)}{\left(-x+e^x \left(1+x^2\right) \log (16)\right) \log \left(x+e^x \left(-1-x^2\right) \log (16)\right)} \, dx","Integrate[(3 - x + E^x*(-3 - 5*x - x^2 + x^3)*Log[16] + (-x + E^x*(1 + x^2)*Log[16])*Log[x + E^x*(-1 - x^2)*Log[16]]*Log[Log[x + E^x*(-1 - x^2)*Log[16]]])/((-x + E^x*(1 + x^2)*Log[16])*Log[x + E^x*(-1 - x^2)*Log[16]]),x]","x \log \left(\log \left(x-e^x \left(x^2+1\right) \log (16)\right)\right)-3 \log \left(\log \left(x-e^x \left(x^2+1\right) \log (16)\right)\right)","(x-3) \log \left(\log \left(x-\left(e^x x^2+e^x\right) \log (16)\right)\right)",1,"-3*Log[Log[x - E^x*(1 + x^2)*Log[16]]] + x*Log[Log[x - E^x*(1 + x^2)*Log[16]]]","A",1
9118,1,13,25,0.0014337,"\int \frac{-4+2 x-5 x^2}{2 x^2} \, dx","Integrate[(-4 + 2*x - 5*x^2)/(2*x^2),x]","-\frac{5 x}{2}+\frac{2}{x}+\log (x)","-\frac{x}{2}+\frac{2}{x}-\log \left(4 e^{2 x-1}\right)+\log (x)",1,"2/x - (5*x)/2 + Log[x]","A",1
9119,1,29,25,1.4033181,"\int \left(5+\exp \left(e (-35-5 x)+e^x (-35-5 x)+7 x+x^2\right) \left(14+6 x+7 x^2+2 x^3+e \left(-10-5 x^2\right)+e^x \left(-80-10 x-40 x^2-5 x^3\right)\right)\right) \, dx","Integrate[5 + E^(E*(-35 - 5*x) + E^x*(-35 - 5*x) + 7*x + x^2)*(14 + 6*x + 7*x^2 + 2*x^3 + E*(-10 - 5*x^2) + E^x*(-80 - 10*x - 40*x^2 - 5*x^3)),x]","e^{-\left(\left(-x+5 e^x+5 e\right) (x+7)\right)} \left(x^2+2\right)+5 x","e^{(x+7) \left(x-5 \left(e^x+e\right)\right)} \left(x^2+2\right)+5 x",1,"5*x + (2 + x^2)/E^((5*E + 5*E^x - x)*(7 + x))","A",1
9120,1,16,17,0.3531603,"\int \frac{e^{-x} \left(e^x x^2+e^{10 e^{-x}} \left(-e^{x+\frac{1+2 x}{x}}-10 e^{\frac{1+2 x}{x}} x^2\right)\right)}{x^2} \, dx","Integrate[(E^x*x^2 + E^(10/E^x)*(-E^(x + (1 + 2*x)/x) - 10*E^((1 + 2*x)/x)*x^2))/(E^x*x^2),x]","x+e^{10 e^{-x}+\frac{1}{x}+2}","x+e^{10 e^{-x}+\frac{1}{x}+2}-8",1,"E^(2 + 10/E^x + x^(-1)) + x","A",1
9121,1,19,30,0.007234,"\int \frac{900+1757 x+168 x^2+4 x^3}{450 x+43 x^2+x^3} \, dx","Integrate[(900 + 1757*x + 168*x^2 + 4*x^3)/(450*x + 43*x^2 + x^3),x]","-3 \log \left(x^2+43 x+450\right)+4 x+2 \log (x)","x-\log (x)+3 \log \left(\frac{e^{x-4} x}{\left(\frac{x}{2}+9\right) (x+25)}\right)",1,"4*x + 2*Log[x] - 3*Log[450 + 43*x + x^2]","A",1
9122,1,29,28,0.0453584,"\int \frac{-3+5 x^2+e^x \left(-x+4 x^2\right)+\left(x^2-e^x x^2\right) \log (x)}{4 x^2} \, dx","Integrate[(-3 + 5*x^2 + E^x*(-x + 4*x^2) + (x^2 - E^x*x^2)*Log[x])/(4*x^2),x]","\frac{1}{4} \left(4 x+4 e^x+\frac{3}{x}+x \log (x)-e^x \log (x)\right)","x+e^x+\frac{1}{4} \left(\frac{3}{x}+\left(x-e^x\right) \log (x)\right)-\frac{3}{2}",1,"(4*E^x + 3/x + 4*x - E^x*Log[x] + x*Log[x])/4","A",1
9123,1,34,19,0.0557375,"\int \frac{38 e^x x-2 e^{2 x} x+2 x^2+\left(-76+4 e^x\right) \log (x)+2 e^x x \log ^2(x)-4 \log ^3(x)}{x} \, dx","Integrate[(38*E^x*x - 2*E^(2*x)*x + 2*x^2 + (-76 + 4*E^x)*Log[x] + 2*E^x*x*Log[x]^2 - 4*Log[x]^3)/x,x]","x^2+38 e^x-e^{2 x}-\log ^4(x)+2 \left(e^x-19\right) \log ^2(x)-361","x^2-\left(-e^x+\log ^2(x)+19\right)^2",1,"-361 + 38*E^x - E^(2*x) + x^2 + 2*(-19 + E^x)*Log[x]^2 - Log[x]^4","A",1
9124,1,34,27,5.1251066,"\int \frac{10+20 x+20 x^2+10 x^3+(5+10 x) \log \left(x^2\right)+e^{e^x} \left(2+4 x+4 x^2+2 x^3+\left(1+2 x+e^x \left(x+2 x^2+2 x^3+x^4\right)\right) \log \left(x^2\right)\right)}{3+6 x+9 x^2+6 x^3+3 x^4} \, dx","Integrate[(10 + 20*x + 20*x^2 + 10*x^3 + (5 + 10*x)*Log[x^2] + E^E^x*(2 + 4*x + 4*x^2 + 2*x^3 + (1 + 2*x + E^x*(x + 2*x^2 + 2*x^3 + x^4))*Log[x^2]))/(3 + 6*x + 9*x^2 + 6*x^3 + 3*x^4),x]","\frac{1}{3} \left(\frac{\left(e^{e^x} x (x+1)-5\right) \log \left(x^2\right)}{x^2+x+1}+10 \log (x)\right)","\frac{\left(e^{e^x}+5\right) x \log \left(x^2\right)}{\frac{3 x^2}{x+1}+3}",1,"(10*Log[x] + ((-5 + E^E^x*x*(1 + x))*Log[x^2])/(1 + x + x^2))/3","A",1
9125,1,15,25,0.0128155,"\int \frac{4+26 x+x^2+72 x^6-72 x^7+18 x^8}{4 x-4 x^2+x^3} \, dx","Integrate[(4 + 26*x + x^2 + 72*x^6 - 72*x^7 + 18*x^8)/(4*x - 4*x^2 + x^3),x]","3 x^6-\frac{30}{x-2}+\log (x)","\log (x)-3 \left(-x^6+\frac{5 x}{x-2}+(3+\log (2))^2\right)",1,"-30/(-2 + x) + 3*x^6 + Log[x]","A",1
9126,1,10,10,0.007337,"\int \frac{2 e^{4+x}+e^{4+x} x \log \left(x^2\right)}{x} \, dx","Integrate[(2*E^(4 + x) + E^(4 + x)*x*Log[x^2])/x,x]","e^{x+4} \log \left(x^2\right)","e^{x+4} \log \left(x^2\right)",1,"E^(4 + x)*Log[x^2]","A",1
9127,1,24,25,0.1096695,"\int \frac{-1+\left(16+12 x-4 x^2+e^4 \left(8+6 x-2 x^2\right)\right) \log (4-x)+\left(-8-6 x+2 x^2\right) \log (4-x) \log (\log (4-x))}{\left(8+e^4 (4-x)-2 x\right) \log (4-x)+(-4+x) \log (4-x) \log (\log (4-x))} \, dx","Integrate[(-1 + (16 + 12*x - 4*x^2 + E^4*(8 + 6*x - 2*x^2))*Log[4 - x] + (-8 - 6*x + 2*x^2)*Log[4 - x]*Log[Log[4 - x]])/((8 + E^4*(4 - x) - 2*x)*Log[4 - x] + (-4 + x)*Log[4 - x]*Log[Log[4 - x]]),x]","x^2+2 x-\log \left(-\log (\log (4-x))+e^4+2\right)","x^2+2 x-\log \left(-\log (\log (4-x))+e^4+2\right)-5",1,"2*x + x^2 - Log[2 + E^4 - Log[Log[4 - x]]]","A",1
9128,1,43,26,0.2657873,"\int \frac{e^{\frac{2}{5} (7-5 x+5 \log (\log (5)))} (-1-2 x)+e^{\frac{1}{5} (7-5 x+5 \log (\log (5)))} (2+2 x) \log (4)-\log ^2(4)}{x^2} \, dx","Integrate[(E^((2*(7 - 5*x + 5*Log[Log[5]]))/5)*(-1 - 2*x) + E^((7 - 5*x + 5*Log[Log[5]])/5)*(2 + 2*x)*Log[4] - Log[4]^2)/x^2,x]","\frac{e^{\frac{14}{5}-2 x} \log (5) \log (25)-e^{\frac{7}{5}-x} \log (16) \log (25)+2 \log ^2(4)}{2 x}","\frac{\left(\log (4)-e^{\frac{7}{5}-x} \log (5)\right)^2-2 x}{x}",1,"(2*Log[4]^2 + E^(14/5 - 2*x)*Log[5]*Log[25] - E^(7/5 - x)*Log[16]*Log[25])/(2*x)","A",0
9129,1,25,16,0.014503,"\int \frac{2-2 x+2 e^{x^2} x \log (4)}{\log (4)} \, dx","Integrate[(2 - 2*x + 2*E^x^2*x*Log[4])/Log[4],x]","\frac{-x^2+\frac{1}{2} e^{x^2} \log (16)+2 x}{\log (4)}","e^{x^2}-\frac{(x-2) x}{\log (4)}",1,"(2*x - x^2 + (E^x^2*Log[16])/2)/Log[4]","A",1
9130,1,20,24,0.2352848,"\int e^{-5 x+x^2} \left(-240-272 x+160 x^2+e^x \left(88+96 x-80 x^2\right)+e^{2 x} \left(-7-7 x+10 x^2\right)\right) \, dx","Integrate[E^(-5*x + x^2)*(-240 - 272*x + 160*x^2 + E^x*(88 + 96*x - 80*x^2) + E^(2*x)*(-7 - 7*x + 10*x^2)),x]","e^{(x-5) x} \left(e^x-4\right)^2 (5 x+4)","e^{x^2-5 x} \left(4-e^x\right)^2 (5 x+4)",1,"E^((-5 + x)*x)*(-4 + E^x)^2*(4 + 5*x)","A",1
9131,1,55,23,0.0884491,"\int \frac{1}{2} \left(30+9 x+e^x \left(108+66 x+9 x^2\right) \log (19)+e^{2 x} \left(54+45 x+9 x^2\right) \log ^2(19)\right) \, dx","Integrate[(30 + 9*x + E^x*(108 + 66*x + 9*x^2)*Log[19] + E^(2*x)*(54 + 45*x + 9*x^2)*Log[19]^2)/2,x]","\frac{1}{2} \left(\frac{9 x^2}{2}+9 e^{2 x} \left(\frac{x^2}{2}+2 x+2\right) \log ^2(19)+3 e^x \left(3 x^2+16 x+20\right) \log (19)+30 x\right)","\left(\frac{3 (x+2) \left(x+e^x x \log (19)\right)}{2 x}+2\right)^2",1,"(30*x + (9*x^2)/2 + 3*E^x*(20 + 16*x + 3*x^2)*Log[19] + 9*E^(2*x)*(2 + 2*x + x^2/2)*Log[19]^2)/2","B",1
9132,1,30,29,0.062985,"\int \frac{240-320 x^4+e^{2/3} \left(-5 x^2+20 x^6\right)}{-256 x+128 x^5-16 x^9+e^{2/3} \left(16 x^3-8 x^7+x^{11}\right)+\left(-128 x+32 x^5+e^{2/3} \left(8 x^3-2 x^7\right)\right) \log \left(-\frac{x^3}{-16+e^{2/3} x^2}\right)+\left(-16 x+e^{2/3} x^3\right) \log ^2\left(-\frac{x^3}{-16+e^{2/3} x^2}\right)} \, dx","Integrate[(240 - 320*x^4 + E^(2/3)*(-5*x^2 + 20*x^6))/(-256*x + 128*x^5 - 16*x^9 + E^(2/3)*(16*x^3 - 8*x^7 + x^11) + (-128*x + 32*x^5 + E^(2/3)*(8*x^3 - 2*x^7))*Log[-(x^3/(-16 + E^(2/3)*x^2))] + (-16*x + E^(2/3)*x^3)*Log[-(x^3/(-16 + E^(2/3)*x^2))]^2),x]","\frac{5}{-x^4+\log \left(\frac{x^3}{16-e^{2/3} x^2}\right)+4}","\frac{5}{-x^4+\log \left(\frac{x}{\frac{16}{x^2}-e^{2/3}}\right)+4}",1,"5/(4 - x^4 + Log[x^3/(16 - E^(2/3)*x^2)])","A",1
9133,1,15,15,0.0214022,"\int \frac{6^{\frac{-1+15 x}{x^4}} \left(-x^4+(4-45 x) \log (6)\right)}{x^6} \, dx","Integrate[(6^((-1 + 15*x)/x^4)*(-x^4 + (4 - 45*x)*Log[6]))/x^6,x]","\frac{6^{\frac{15 x-1}{x^4}}}{x}","\frac{6^{\frac{15 x-1}{x^4}}}{x}",1,"6^((-1 + 15*x)/x^4)/x","A",1
9134,1,6,10,0.0003317,"\int \frac{1}{e^6 x} \, dx","Integrate[1/(E^6*x),x]","\frac{\log (x)}{e^6}","\frac{\log (x)+4}{e^6}+8",1,"Log[x]/E^6","A",1
9135,1,27,28,1.6927535,"\int \frac{e^{\frac{-x-e^{2 x} x+\log \left(e^2 x\right)}{-4+x}} \left(-4+5 x+e^{2 x} \left(4 x+8 x^2-2 x^3\right)-x \log \left(e^2 x\right)\right)}{16 x-8 x^2+x^3} \, dx","Integrate[(E^((-x - E^(2*x)*x + Log[E^2*x])/(-4 + x))*(-4 + 5*x + E^(2*x)*(4*x + 8*x^2 - 2*x^3) - x*Log[E^2*x]))/(16*x - 8*x^2 + x^3),x]","e^{-\frac{e^{2 x} x+x-2}{x-4}} x^{\frac{1}{x-4}}","e^{\frac{-e^{2 x} x-x+\log \left(e^2 x\right)}{x-4}}+2",1,"x^(-4 + x)^(-1)/E^((-2 + x + E^(2*x)*x)/(-4 + x))","A",1
9136,1,29,23,0.1396091,"\int \frac{15 e^{32}+40 e^{16} x+15 x^2+e^x \left(12 e^{32}+12 x^2+e^{16} (8+24 x)\right)}{15 e^{32} x+30 e^{16} x^2+15 x^3+e^x \left(12 e^{32}+24 e^{16} x+12 x^2\right)} \, dx","Integrate[(15*E^32 + 40*E^16*x + 15*x^2 + E^x*(12*E^32 + 12*x^2 + E^16*(8 + 24*x)))/(15*E^32*x + 30*E^16*x^2 + 15*x^3 + E^x*(12*E^32 + 24*E^16*x + 12*x^2)),x]","\frac{1}{3} \left(3 \log \left(5 x+4 e^x\right)-\frac{2 e^{16}}{x+e^{16}}\right)","\frac{2 x}{3 \left(x+e^{16}\right)}+\log \left(x+\frac{4 e^x}{5}\right)",1,"((-2*E^16)/(E^16 + x) + 3*Log[4*E^x + 5*x])/3","A",1
9137,1,57,19,0.1332899,"\int \left(-13824+4608 x+e^{4 x} \left(4320-3168 x+576 x^2\right)+e^{3 x} \left(24192-18432 x+3456 x^2\right)+e^x \left(13824-18432 x+4608 x^2\right)+e^{2 x} \left(41472-34560 x+6912 x^2\right)\right) \, dx","Integrate[-13824 + 4608*x + E^(4*x)*(4320 - 3168*x + 576*x^2) + E^(3*x)*(24192 - 18432*x + 3456*x^2) + E^x*(13824 - 18432*x + 4608*x^2) + E^(2*x)*(41472 - 34560*x + 6912*x^2),x]","288 \left(16 e^x (x-3)^2+12 e^{2 x} (x-3)^2+4 e^{3 x} (x-3)^2+\frac{1}{2} e^{4 x} (x-3)^2+8 (x-6) x\right)","9 (x-3)^2 \left(\log \left(e^{2 e^x}\right)+4\right)^4",1,"288*(16*E^x*(-3 + x)^2 + 12*E^(2*x)*(-3 + x)^2 + 4*E^(3*x)*(-3 + x)^2 + (E^(4*x)*(-3 + x)^2)/2 + 8*(-6 + x)*x)","B",1
9138,0,0,27,1.6054762,"\int \frac{-x+4 e^{60+4 x} x+16 x^2+64 x^4+e^{45+3 x} \left(8 x+24 x^2\right)+\left(4+16 x^2\right) \log (2)+e^{30+2 x} \left(4+48 x^2+48 x^3+4 x \log (2)\right)+e^{15+x} \left(16 x+96 x^3+32 x^4+\left(8 x+8 x^2\right) \log (2)\right)+\left(4+4 e^{30+2 x} x+16 x^2+e^{15+x} \left(8 x+8 x^2\right)\right) \log \left(3 x^2\right)}{e^{60+4 x} x-x^2+8 e^{45+3 x} x^2+16 x^5+8 x^3 \log (2)+x \log ^2(2)+e^{30+2 x} \left(24 x^3+2 x \log (2)\right)+e^{15+x} \left(32 x^4+8 x^2 \log (2)\right)+\left(2 e^{30+2 x} x+8 e^{15+x} x^2+8 x^3+2 x \log (2)\right) \log \left(3 x^2\right)+x \log ^2\left(3 x^2\right)} \, dx","Integrate[(-x + 4*E^(60 + 4*x)*x + 16*x^2 + 64*x^4 + E^(45 + 3*x)*(8*x + 24*x^2) + (4 + 16*x^2)*Log[2] + E^(30 + 2*x)*(4 + 48*x^2 + 48*x^3 + 4*x*Log[2]) + E^(15 + x)*(16*x + 96*x^3 + 32*x^4 + (8*x + 8*x^2)*Log[2]) + (4 + 4*E^(30 + 2*x)*x + 16*x^2 + E^(15 + x)*(8*x + 8*x^2))*Log[3*x^2])/(E^(60 + 4*x)*x - x^2 + 8*E^(45 + 3*x)*x^2 + 16*x^5 + 8*x^3*Log[2] + x*Log[2]^2 + E^(30 + 2*x)*(24*x^3 + 2*x*Log[2]) + E^(15 + x)*(32*x^4 + 8*x^2*Log[2]) + (2*E^(30 + 2*x)*x + 8*E^(15 + x)*x^2 + 8*x^3 + 2*x*Log[2])*Log[3*x^2] + x*Log[3*x^2]^2),x]","\int \frac{-x+4 e^{60+4 x} x+16 x^2+64 x^4+e^{45+3 x} \left(8 x+24 x^2\right)+\left(4+16 x^2\right) \log (2)+e^{30+2 x} \left(4+48 x^2+48 x^3+4 x \log (2)\right)+e^{15+x} \left(16 x+96 x^3+32 x^4+\left(8 x+8 x^2\right) \log (2)\right)+\left(4+4 e^{30+2 x} x+16 x^2+e^{15+x} \left(8 x+8 x^2\right)\right) \log \left(3 x^2\right)}{e^{60+4 x} x-x^2+8 e^{45+3 x} x^2+16 x^5+8 x^3 \log (2)+x \log ^2(2)+e^{30+2 x} \left(24 x^3+2 x \log (2)\right)+e^{15+x} \left(32 x^4+8 x^2 \log (2)\right)+\left(2 e^{30+2 x} x+8 e^{15+x} x^2+8 x^3+2 x \log (2)\right) \log \left(3 x^2\right)+x \log ^2\left(3 x^2\right)} \, dx","\log \left(\left(\log \left(3 x^2\right)+\left(2 x+e^{x+15}\right)^2+\log (2)\right)^2-x\right)",1,"Integrate[(-x + 4*E^(60 + 4*x)*x + 16*x^2 + 64*x^4 + E^(45 + 3*x)*(8*x + 24*x^2) + (4 + 16*x^2)*Log[2] + E^(30 + 2*x)*(4 + 48*x^2 + 48*x^3 + 4*x*Log[2]) + E^(15 + x)*(16*x + 96*x^3 + 32*x^4 + (8*x + 8*x^2)*Log[2]) + (4 + 4*E^(30 + 2*x)*x + 16*x^2 + E^(15 + x)*(8*x + 8*x^2))*Log[3*x^2])/(E^(60 + 4*x)*x - x^2 + 8*E^(45 + 3*x)*x^2 + 16*x^5 + 8*x^3*Log[2] + x*Log[2]^2 + E^(30 + 2*x)*(24*x^3 + 2*x*Log[2]) + E^(15 + x)*(32*x^4 + 8*x^2*Log[2]) + (2*E^(30 + 2*x)*x + 8*E^(15 + x)*x^2 + 8*x^3 + 2*x*Log[2])*Log[3*x^2] + x*Log[3*x^2]^2), x]","F",-1
9139,1,46,35,0.1520452,"\int \frac{256 x^4-160 x^5-232 x^6+160 x^7-24 x^8+e^{e^2-x^2+2 x \log \left(\frac{1-x^2}{x}\right)-\log ^2\left(\frac{1-x^2}{x}\right)} \left(2 x+2 x^2+2 x^3-2 x^4+\left(-2-2 x-2 x^2+2 x^3\right) \log \left(\frac{1-x^2}{x}\right)\right)}{-x+x^3} \, dx","Integrate[(256*x^4 - 160*x^5 - 232*x^6 + 160*x^7 - 24*x^8 + E^(E^2 - x^2 + 2*x*Log[(1 - x^2)/x] - Log[(1 - x^2)/x]^2)*(2*x + 2*x^2 + 2*x^3 - 2*x^4 + (-2 - 2*x - 2*x^2 + 2*x^3)*Log[(1 - x^2)/x]))/(-x + x^3),x]","\left(\frac{1}{x}-x\right)^{2 x} e^{-x^2-\log ^2\left(\frac{1}{x}-x\right)+e^2}-4 (x-4)^2 x^4","e^{e^2-\left(x-\log \left(\frac{1}{x}-x\right)\right)^2}-4 (4-x)^2 x^4",1,"E^(E^2 - x^2 - Log[x^(-1) - x]^2)*(x^(-1) - x)^(2*x) - 4*(-4 + x)^2*x^4","A",1
9140,1,37,27,0.3453787,"\int \frac{-837 x+e^x \left(-3-279 x-279 x^2\right) \log (3)+\left(-567 x+e^x \left(-189 x-189 x^2\right) \log (3)\right) \log (x)+\left(-96 x+e^x \left(-32 x-32 x^2\right) \log (3)\right) \log ^2(x)+\left(-279 e^x x \log (3)-189 e^x x \log (3) \log (x)-32 e^x x \log (3) \log ^2(x)\right) \log \left(\frac{93+32 \log (x)}{3+\log (x)}\right)}{837 x+567 x \log (x)+96 x \log ^2(x)} \, dx","Integrate[(-837*x + E^x*(-3 - 279*x - 279*x^2)*Log[3] + (-567*x + E^x*(-189*x - 189*x^2)*Log[3])*Log[x] + (-96*x + E^x*(-32*x - 32*x^2)*Log[3])*Log[x]^2 + (-279*E^x*x*Log[3] - 189*E^x*x*Log[3]*Log[x] - 32*E^x*x*Log[3]*Log[x]^2)*Log[(93 + 32*Log[x])/(3 + Log[x])])/(837*x + 567*x*Log[x] + 96*x*Log[x]^2),x]","\frac{1}{3} \left(-3 x-e^x x \log (3)-e^x \log (3) \log \left(\frac{32 \log (x)+93}{\log (x)+3}\right)\right)","-x-\frac{1}{3} e^x \log (3) \left(x+\log \left(32-\frac{3}{\log (x)+3}\right)\right)+3",1,"(-3*x - E^x*x*Log[3] - E^x*Log[3]*Log[(93 + 32*Log[x])/(3 + Log[x])])/3","A",1
9141,1,57,27,0.7510026,"\int \left(2 x+6 x^2+4 x^3+e^{\frac{8 \left(5 e^x-5 \log (x)\right)}{x}} \left(-40 x^2+4 x^3+e^x \left(-40 x^2+40 x^3\right)+40 x^2 \log (x)\right)+e^{\frac{4 \left(5 e^x-5 \log (x)\right)}{x}} \left(40 x+34 x^2-8 x^3+e^x \left(40 x-40 x^3\right)+\left(-40 x-40 x^2\right) \log (x)\right)\right) \, dx","Integrate[2*x + 6*x^2 + 4*x^3 + E^((8*(5*E^x - 5*Log[x]))/x)*(-40*x^2 + 4*x^3 + E^x*(-40*x^2 + 40*x^3) + 40*x^2*Log[x]) + E^((4*(5*E^x - 5*Log[x]))/x)*(40*x + 34*x^2 - 8*x^3 + E^x*(40*x - 40*x^3) + (-40*x - 40*x^2)*Log[x]),x]","x^2 \left(e^{\frac{40 e^x}{x}} x^{2-\frac{40}{x}}+x^2+2 x+1\right)-2 e^{\frac{20 e^x}{x}} x^{3-\frac{20}{x}} (x+1)","\left(x^2+x^2 \left(-e^{\frac{20 \left(e^x-\log (x)\right)}{x}}\right)+x\right)^2",1,"-2*E^((20*E^x)/x)*x^(3 - 20/x)*(1 + x) + x^2*(1 + 2*x + x^2 + E^((40*E^x)/x)*x^(2 - 40/x))","B",1
9142,1,28,35,0.2942035,"\int \frac{-240 e^4-120 e^2 x-15 x^2+e^{\frac{4+3 x+2 x^2}{4 e^2+x}} \left(-4 x^2+2 x^4+e^2 \left(12 x^2+16 x^3\right)\right)}{16 e^4 x^2+8 e^2 x^3+x^4} \, dx","Integrate[(-240*E^4 - 120*E^2*x - 15*x^2 + E^((4 + 3*x + 2*x^2)/(4*E^2 + x))*(-4*x^2 + 2*x^4 + E^2*(12*x^2 + 16*x^3)))/(16*E^4*x^2 + 8*E^2*x^3 + x^4),x]","e^{\frac{2 x^2+3 x+4}{x+4 e^2}}+\frac{15}{x}","e^{\frac{x^2-x+(x+2)^2}{x+4 e^2}}+\frac{3 (5-x)}{x}",1,"E^((4 + 3*x + 2*x^2)/(4*E^2 + x)) + 15/x","A",1
9143,0,0,20,0.7840149,"\int \frac{e^{-5+\left(-2 x+x^2\right) \log (2)} (-6+6 x) \log (2)}{-20+3 e^{-5+\left(-2 x+x^2\right) \log (2)}} \, dx","Integrate[(E^(-5 + (-2*x + x^2)*Log[2])*(-6 + 6*x)*Log[2])/(-20 + 3*E^(-5 + (-2*x + x^2)*Log[2])),x]","\int \frac{e^{-5+\left(-2 x+x^2\right) \log (2)} (-6+6 x) \log (2)}{-20+3 e^{-5+\left(-2 x+x^2\right) \log (2)}} \, dx","\log \left(\frac{3}{4} e^{(x-2) x \log (2)-5}-5\right)+3",1,"Integrate[(E^(-5 + (-2*x + x^2)*Log[2])*(-6 + 6*x)*Log[2])/(-20 + 3*E^(-5 + (-2*x + x^2)*Log[2])), x]","F",-1
9144,1,21,28,0.2714427,"\int \frac{-e+e^{\log ^2\left(\frac{3}{2}\right)-2 \log \left(\frac{3}{2}\right) \log (3)+\log ^2(3)}-x-x^2+\left(e-e^{\log ^2\left(\frac{3}{2}\right)-2 \log \left(\frac{3}{2}\right) \log (3)+\log ^2(3)}+2 x\right) \log (x)}{x^2-2 x \log (x)+\log ^2(x)} \, dx","Integrate[(-E + E^(Log[3/2]^2 - 2*Log[3/2]*Log[3] + Log[3]^2) - x - x^2 + (E - E^(Log[3/2]^2 - 2*Log[3/2]*Log[3] + Log[3]^2) + 2*x)*Log[x])/(x^2 - 2*x*Log[x] + Log[x]^2),x]","\frac{x \left(x+e-e^{\log ^2(2)}\right)}{\log (x)-x}","\frac{x \left(x+e-e^{\left(\log (3)-\log \left(\frac{3}{2}\right)\right)^2}\right)}{\log (x)-x}",1,"(x*(E - E^Log[2]^2 + x))/(-x + Log[x])","A",1
9145,1,47,27,0.1811865,"\int \frac{24 x+5^{8 x} (-2+8 x \log (5))+5^{4 x} \left(-8+6 x-24 x^2 \log (5)\right)+\left(32-24 x+5^{4 x} (16-32 x \log (5))\right) \log (x)-32 \log ^2(x)}{x^3} \, dx","Integrate[(24*x + 5^(8*x)*(-2 + 8*x*Log[5]) + 5^(4*x)*(-8 + 6*x - 24*x^2*Log[5]) + (32 - 24*x + 5^(4*x)*(16 - 32*x*Log[5]))*Log[x] - 32*Log[x]^2)/x^3,x]","\frac{4 \left(4 \log (625) \log ^2(x)+\left(6 x \log (625)-4\ 625^x \log (25)\right) \log (x)+625^x \left(625^x-6 x\right) \log (5)\right)}{x^2 \log (625)}","\left(\frac{5^{4 x}-x}{x}+\frac{x-4 \log (x)}{x}-3\right)^2",1,"(4*(625^x*(625^x - 6*x)*Log[5] + (-4*625^x*Log[25] + 6*x*Log[625])*Log[x] + 4*Log[625]*Log[x]^2))/(x^2*Log[625])","A",1
9146,1,9,9,0.0034369,"\int -2 5^{2-x^2} x \log (5) \, dx","Integrate[-2*5^(2 - x^2)*x*Log[5],x]","5^{2-x^2}","5^{2-x^2}",1,"5^(2 - x^2)","A",1
9147,1,30,26,0.8405392,"\int \frac{1+e^{e^x+x} \left(5 x-e^{2 x} x+x^2+e^{9+x} \left(-2 x-e^x x\right)+e^x \left(2 x+x^2\right)\right)}{x} \, dx","Integrate[(1 + E^(E^x + x)*(5*x - E^(2*x)*x + x^2 + E^(9 + x)*(-2*x - E^x*x) + E^x*(2*x + x^2)))/x,x]","e^{e^x} \left(e^x (x+4)+\left(-1-e^9\right) e^{2 x}\right)+\log (x)","e^{x+e^x} \left(x-e^x-e^{x+9}+4\right)+\log (x)",1,"E^E^x*(E^(2*x)*(-1 - E^9) + E^x*(4 + x)) + Log[x]","A",1
9148,1,21,22,0.3199574,"\int \frac{-4 x-4 e^{4 x} x+\left(-2-2 e^{4 x}\right) \log \left(1+e^{4 x}\right)+\left(2 x+6 e^{4 x} x\right) \log \left(x^2\right)}{\left(2 x^2+2 e^{4 x} x^2\right) \log \left(x^2\right)+\left(x+e^{4 x} x\right) \log \left(1+e^{4 x}\right) \log \left(x^2\right)} \, dx","Integrate[(-4*x - 4*E^(4*x)*x + (-2 - 2*E^(4*x))*Log[1 + E^(4*x)] + (2*x + 6*E^(4*x)*x)*Log[x^2])/((2*x^2 + 2*E^(4*x)*x^2)*Log[x^2] + (x + E^(4*x)*x)*Log[1 + E^(4*x)]*Log[x^2]),x]","\log \left(2 x+\log \left(e^{4 x}+1\right)\right)-\log \left(\log \left(x^2\right)\right)","\log \left(\frac{-2 x-\log \left(e^{4 x}+1\right)}{\log \left(x^2\right)}\right)",1,"Log[2*x + Log[1 + E^(4*x)]] - Log[Log[x^2]]","A",1
9149,1,38,38,0.0649367,"\int \frac{e^{8-x} \left(100+100 x+100 x^2\right)+e^5 \left(2 x^2+4 x^3\right)+e^{3 x} \left(100 e^{8-x} x^2+e^5 \left(-2 x^3-3 x^4\right)\right)}{25 x^2} \, dx","Integrate[(E^(8 - x)*(100 + 100*x + 100*x^2) + E^5*(2*x^2 + 4*x^3) + E^(3*x)*(100*E^(8 - x)*x^2 + E^5*(-2*x^3 - 3*x^4)))/(25*x^2),x]","-\frac{e^{5-x} \left(\left(e^{3 x}-2\right) x-2\right) \left(e^x x^2-50 e^3\right)}{25 x}","e^5 \left(\left(-e^{3 x}+\frac{2}{x}+2\right) \left(\frac{x^2}{25}-2 e^{3-x}\right)+4\right)",1,"-1/25*(E^(5 - x)*(-2 + (-2 + E^(3*x))*x)*(-50*E^3 + E^x*x^2))/x","A",1
9150,1,17,17,0.0765454,"\int \frac{e^{\frac{-5-x+2 x^2-x^3}{x}} \left(5+2 x^2-2 x^3\right)}{x^2} \, dx","Integrate[(E^((-5 - x + 2*x^2 - x^3)/x)*(5 + 2*x^2 - 2*x^3))/x^2,x]","e^{-x^2+2 x-\frac{5}{x}-1}","e^{-x^2+2 x-\frac{5}{x}-1}",1,"E^(-1 - 5/x + 2*x - x^2)","A",1
9151,1,23,19,0.3032098,"\int \frac{75-30 x-15 x^2+e^x \left(15+30 x+15 x^2\right)}{225+300 x+130 x^2+20 x^3+x^4+e^{2 x} \left(1+2 x+x^2\right)+e^x \left(-30-50 x-22 x^2-2 x^3\right)} \, dx","Integrate[(75 - 30*x - 15*x^2 + E^x*(15 + 30*x + 15*x^2))/(225 + 300*x + 130*x^2 + 20*x^3 + x^4 + E^(2*x)*(1 + 2*x + x^2) + E^x*(-30 - 50*x - 22*x^2 - 2*x^3)),x]","\frac{15 (x+1)}{x^2+10 x-e^x (x+1)+15}","-\frac{15}{-x+e^x-\frac{6}{x+1}-9}",1,"(15*(1 + x))/(15 + 10*x + x^2 - E^x*(1 + x))","A",1
9152,1,16,18,0.0417413,"\int \frac{29+4 x+2 x^2+e^{2 x} \left(2+4 x+2 x^2\right)}{1+2 x+x^2} \, dx","Integrate[(29 + 4*x + 2*x^2 + E^(2*x)*(2 + 4*x + 2*x^2))/(1 + 2*x + x^2),x]","2 x+e^{2 x}-\frac{27}{x+1}","\frac{x^2-28}{x+1}+x+e^{2 x}",1,"E^(2*x) + 2*x - 27/(1 + x)","A",1
9153,1,27,22,0.0199442,"\int \frac{40-100 x^2-4 e^{32} x^4+e^{16} \left(-16 x+40 x^3\right)}{25 x^2-10 e^{16} x^3+e^{32} x^4} \, dx","Integrate[(40 - 100*x^2 - 4*E^32*x^4 + E^16*(-16*x + 40*x^3))/(25*x^2 - 10*E^16*x^3 + E^32*x^4),x]","-4 \left(x-\frac{2 e^{16}}{5 \left(e^{16} x-5\right)}+\frac{2}{5 x}\right)","4 \left(\frac{2}{\left(e^{16}-\frac{5}{x}\right) x^2}-x\right)",1,"-4*(2/(5*x) + x - (2*E^16)/(5*(-5 + E^16*x)))","A",1
9154,1,35,35,1.7936473,"\int \frac{-40+70 x+(10-20 x) \log (2 x)+e^{2 x^2+2 x \log \left(\frac{4}{x}\right)} \left(-36+72 x+36 \log \left(\frac{4}{x}\right)+\left(24-48 x-24 \log \left(\frac{4}{x}\right)\right) \log (2 x)+\left(-4+8 x+4 \log \left(\frac{4}{x}\right)\right) \log ^2(2 x)\right)}{9-6 \log (2 x)+\log ^2(2 x)} \, dx","Integrate[(-40 + 70*x + (10 - 20*x)*Log[2*x] + E^(2*x^2 + 2*x*Log[4/x])*(-36 + 72*x + 36*Log[4/x] + (24 - 48*x - 24*Log[4/x])*Log[2*x] + (-4 + 8*x + 4*Log[4/x])*Log[2*x]^2))/(9 - 6*Log[2*x] + Log[2*x]^2),x]","2 \left(16^x e^{2 x^2} \left(\frac{1}{x}\right)^{2 x}-\frac{5 (x-1) x}{\log (2 x)-3}\right)","2 \left(\frac{5 \left(x^2-x\right)}{3-\log (2 x)}+e^{2 x \left(x+\log \left(\frac{4}{x}\right)\right)}\right)",1,"2*(16^x*E^(2*x^2)*(x^(-1))^(2*x) - (5*(-1 + x)*x)/(-3 + Log[2*x]))","A",1
9155,1,29,27,0.5725169,"\int \frac{\exp \left(-2 e^{\frac{e^5}{e^x-x^2}}-2 x+e^{-2 e^{\frac{e^5}{e^x-x^2}}-2 x} x\right) \left(e^{2 x} (1-2 x)+x^4-2 x^5+e^{\frac{e^5}{e^x-x^2}} \left(2 e^{5+x} x-4 e^5 x^2\right)+e^x \left(-2 x^2+4 x^3\right)\right)}{e^{2 x}-2 e^x x^2+x^4} \, dx","Integrate[(E^(-2*E^(E^5/(E^x - x^2)) - 2*x + E^(-2*E^(E^5/(E^x - x^2)) - 2*x)*x)*(E^(2*x)*(1 - 2*x) + x^4 - 2*x^5 + E^(E^5/(E^x - x^2))*(2*E^(5 + x)*x - 4*E^5*x^2) + E^x*(-2*x^2 + 4*x^3)))/(E^(2*x) - 2*E^x*x^2 + x^4),x]","e^{e^{-2 e^{\frac{e^5}{e^x-x^2}}-2 x} x}","e^{e^{-2 \left(e^{\frac{e^5}{e^x-x^2}}+x\right)} x}",1,"E^(E^(-2*E^(E^5/(E^x - x^2)) - 2*x)*x)","A",1
9156,1,31,33,0.4107193,"\int \frac{131250 x^6-46875 x^8+e^{-5+x} \left(13125 x^6-3750 x^7\right)}{432000+432 e^{-15+3 x}-1080000 x^2+900000 x^4-250000 x^6+e^{-10+2 x} \left(12960-10800 x^2\right)+e^{-5+x} \left(129600-216000 x^2+90000 x^4\right)} \, dx","Integrate[(131250*x^6 - 46875*x^8 + E^(-5 + x)*(13125*x^6 - 3750*x^7))/(432000 + 432*E^(-15 + 3*x) - 1080000*x^2 + 900000*x^4 - 250000*x^6 + E^(-10 + 2*x)*(12960 - 10800*x^2) + E^(-5 + x)*(129600 - 216000*x^2 + 90000*x^4)),x]","\frac{625 e^{10} x^7}{16 \left(-25 e^5 x^2+3 e^x+30 e^5\right)^2}","\frac{x^5}{16 \left(\frac{3 \left(\frac{e^{x-5}}{5}+2\right)}{5 x}-x\right)^2}+4",1,"(625*E^10*x^7)/(16*(30*E^5 + 3*E^x - 25*E^5*x^2)^2)","A",1
9157,1,15,17,0.0172951,"\int \frac{150-30 e-225 x}{100 x^3+4 e^2 x^3-200 x^4+100 x^5+e \left(-40 x^3+40 x^4\right)} \, dx","Integrate[(150 - 30*E - 225*x)/(100*x^3 + 4*E^2*x^3 - 200*x^4 + 100*x^5 + E*(-40*x^3 + 40*x^4)),x]","\frac{15}{4 x^2 (5 x+e-5)}","\frac{15}{4 x^2 (5 x+e-5)}+4",1,"15/(4*x^2*(-5 + E + 5*x))","A",1
9158,1,22,22,0.3356138,"\int \frac{45 x^4-27 x^5+\left(180 x^3-144 x^4+27 x^5\right) \log (-2+x)}{\left(2000-4600 x+3960 x^2-1512 x^3+216 x^4\right) \log ^3(-2+x)} \, dx","Integrate[(45*x^4 - 27*x^5 + (180*x^3 - 144*x^4 + 27*x^5)*Log[-2 + x])/((2000 - 4600*x + 3960*x^2 - 1512*x^3 + 216*x^4)*Log[-2 + x]^3),x]","\frac{9 x^4}{16 (3 (x-2)+1)^2 \log ^2(x-2)}","\frac{x^4}{16 \left(x-\frac{5}{3}\right)^2 \log ^2(x-2)}+15",1,"(9*x^4)/(16*(1 + 3*(-2 + x))^2*Log[-2 + x]^2)","A",1
9159,1,24,22,0.0233628,"\int \frac{-156+52 x+(60-20 x) \log (25)+(-156+60 \log (25)) \log (x)}{-162+108 x-18 x^2+\left(45-30 x+5 x^2\right) \log (25)} \, dx","Integrate[(-156 + 52*x + (60 - 20*x)*Log[25] + (-156 + 60*Log[25])*Log[x])/(-162 + 108*x - 18*x^2 + (45 - 30*x + 5*x^2)*Log[25]),x]","-\frac{4 x (5 \log (25)-13) \log (x)}{(x-3) (5 \log (25)-18)}","-\frac{x \left(4+\frac{4}{\log (25)-\frac{18}{5}}\right) \log (x)}{x-3}",1,"(-4*x*(-13 + 5*Log[25])*Log[x])/((-3 + x)*(-18 + 5*Log[25]))","A",1
9160,1,27,30,0.2263995,"\int \frac{-15-12 x+3 x^2+e^4 \left(-4-2 x^2+10 x^3-2 x^4\right)+\left(-3+e^4 \left(-2 x+2 x^2\right)\right) \log \left(3+e^4 \left(2 x-2 x^2\right)\right)}{-12+12 x-3 x^2+e^4 \left(-8 x+16 x^2-10 x^3+2 x^4\right)} \, dx","Integrate[(-15 - 12*x + 3*x^2 + E^4*(-4 - 2*x^2 + 10*x^3 - 2*x^4) + (-3 + E^4*(-2*x + 2*x^2))*Log[3 + E^4*(2*x - 2*x^2)])/(-12 + 12*x - 3*x^2 + E^4*(-8*x + 16*x^2 - 10*x^3 + 2*x^4)),x]","-\frac{x^2-2 x+\log \left(3-2 e^4 (x-1) x\right)+9}{x-2}","\frac{\log \left(e^4 \left(2 x-2 x^2\right)+3\right)+9}{2-x}-x",1,"-((9 - 2*x + x^2 + Log[3 - 2*E^4*(-1 + x)*x])/(-2 + x))","A",1
9161,1,49,33,0.1950423,"\int \frac{-6 e^{2 x^2-2 x^3+2 \left(x-x^2\right) \log (x)} x^2+e^{x^2-x^3+\left(x-x^2\right) \log (x)} \left(\left(1+5 x+3 x^2-x^3-6 x^4\right) \log \left(\frac{21}{5}\right)+\left(x-4 x^3\right) \log \left(\frac{21}{5}\right) \log (x)\right)}{18 e^{2 x^2-2 x^3+2 \left(x-x^2\right) \log (x)} x^2-12 e^{x^2-x^3+\left(x-x^2\right) \log (x)} x \log \left(\frac{21}{5}\right)+2 \log ^2\left(\frac{21}{5}\right)} \, dx","Integrate[(-6*E^(2*x^2 - 2*x^3 + 2*(x - x^2)*Log[x])*x^2 + E^(x^2 - x^3 + (x - x^2)*Log[x])*((1 + 5*x + 3*x^2 - x^3 - 6*x^4)*Log[21/5] + (x - 4*x^3)*Log[21/5]*Log[x]))/(18*E^(2*x^2 - 2*x^3 + 2*(x - x^2)*Log[x])*x^2 - 12*E^(x^2 - x^3 + (x - x^2)*Log[x])*x*Log[21/5] + 2*Log[21/5]^2),x]","\frac{e^{x^2} x^{x+1} (2 x+1)}{2 \left(e^{x^3} x^{x^2} \log \left(\frac{21}{5}\right)-3 e^{x^2} x^{x+1}\right)}","\frac{x+\frac{1}{2}}{\frac{\log \left(\frac{21}{5}\right) e^{-\left(\left(x-x^2\right) (x+\log (x))\right)}}{x}-3}",1,"(E^x^2*x^(1 + x)*(1 + 2*x))/(2*(-3*E^x^2*x^(1 + x) + E^x^3*x^x^2*Log[21/5]))","A",1
9162,1,31,25,0.0363684,"\int e^{-e^4} \left(3 x^2+e^{e^4} \left(6 x-2 x \log (2)+2 x \log ^2(2)\right)\right) \, dx","Integrate[(3*x^2 + E^E^4*(6*x - 2*x*Log[2] + 2*x*Log[2]^2))/E^E^4,x]","e^{-e^4} x^3+\frac{1}{2} x^2 \left(6+2 \log ^2(2)-\log (4)\right)","x \left(x+x \left(e^{-e^4} x+2+\log ^2(2)-\log (2)\right)\right)",1,"x^3/E^E^4 + (x^2*(6 + 2*Log[2]^2 - Log[4]))/2","A",1
9163,1,16,17,0.0145799,"\int \frac{2500 e^{10}-4 x^2}{x^4+e^{20} \left(390625+1250 x+x^2\right)+e^{10} \left(1250 x^2+2 x^3\right)} \, dx","Integrate[(2500*E^10 - 4*x^2)/(x^4 + E^20*(390625 + 1250*x + x^2) + E^10*(1250*x^2 + 2*x^3)),x]","\frac{4 x}{x^2+e^{10} (x+625)}","\frac{4}{e^{10} \left(\frac{625}{x}+1\right)+x}",1,"(4*x)/(x^2 + E^10*(625 + x))","A",1
9164,1,22,24,0.0420613,"\int \frac{-10+e^x (5-3 x)+x}{-4 x+2 e^x x} \, dx","Integrate[(-10 + E^x*(5 - 3*x) + x)/(-4*x + 2*E^x*x),x]","\frac{1}{4} \left(-x-5 \log \left(2-e^x\right)+10 \log (x)\right)","-\frac{5}{4} \left(x-\log \left(-\frac{4 x^2}{e^x-2}\right)\right)+x+1",1,"(-x - 5*Log[2 - E^x] + 10*Log[x])/4","A",1
9165,1,38,28,0.6845163,"\int \frac{-8+\left(-x-2 x^2\right) \log \left(\frac{1}{2} \left(4 x^2-x^2 \log (3)\right)\right) \log ^2\left(\log \left(\frac{1}{2} \left(4 x^2-x^2 \log (3)\right)\right)\right)}{16 x \log \left(\frac{1}{2} \left(4 x^2-x^2 \log (3)\right)\right)+\left(-8 x-8 x^2-8 x^3\right) \log \left(\frac{1}{2} \left(4 x^2-x^2 \log (3)\right)\right) \log \left(\log \left(\frac{1}{2} \left(4 x^2-x^2 \log (3)\right)\right)\right)+\left(x+2 x^2+3 x^3+2 x^4+x^5\right) \log \left(\frac{1}{2} \left(4 x^2-x^2 \log (3)\right)\right) \log ^2\left(\log \left(\frac{1}{2} \left(4 x^2-x^2 \log (3)\right)\right)\right)} \, dx","Integrate[(-8 + (-x - 2*x^2)*Log[(4*x^2 - x^2*Log[3])/2]*Log[Log[(4*x^2 - x^2*Log[3])/2]]^2)/(16*x*Log[(4*x^2 - x^2*Log[3])/2] + (-8*x - 8*x^2 - 8*x^3)*Log[(4*x^2 - x^2*Log[3])/2]*Log[Log[(4*x^2 - x^2*Log[3])/2]] + (x + 2*x^2 + 3*x^3 + 2*x^4 + x^5)*Log[(4*x^2 - x^2*Log[3])/2]*Log[Log[(4*x^2 - x^2*Log[3])/2]]^2),x]","\frac{\log \left(\log \left(-\frac{1}{2} x^2 (\log (3)-4)\right)\right)}{\left(x^2+x+1\right) \log \left(\log \left(-\frac{1}{2} x^2 (\log (3)-4)\right)\right)-4}","\frac{1}{-\frac{4}{\log \left(\log \left(\frac{1}{2} x^2 (4-\log (3))\right)\right)}+x (x+1)+1}",1,"Log[Log[-1/2*(x^2*(-4 + Log[3]))]]/(-4 + (1 + x + x^2)*Log[Log[-1/2*(x^2*(-4 + Log[3]))]])","A",1
9166,1,23,18,0.0147632,"\int \frac{-1-x^2-2 x^3}{x+e^5 x^2-x^3-x^4} \, dx","Integrate[(-1 - x^2 - 2*x^3)/(x + E^5*x^2 - x^3 - x^4),x]","\log \left(-x^3-x^2+e^5 x+1\right)-\log (x)","\log \left(x^2+x-\frac{1}{x}-e^5\right)-4",1,"-Log[x] + Log[1 + E^5*x - x^2 - x^3]","A",1
9167,1,34,36,0.1014114,"\int \frac{1+75 x^2+5 x^3-5 x^4+e^x \left(15 x^2+6 x^3-2 x^4\right)+\left(-75 x^2+20 x^3+e^x \left(-15 x^2-x^3+x^4\right)\right) \log \left(\frac{e^x}{2}\right)}{1+50 x^3-10 x^4+625 x^6-250 x^7+25 x^8+e^{2 x} \left(25 x^6-10 x^7+x^8\right)+e^x \left(10 x^3-2 x^4+250 x^6-100 x^7+10 x^8\right)} \, dx","Integrate[(1 + 75*x^2 + 5*x^3 - 5*x^4 + E^x*(15*x^2 + 6*x^3 - 2*x^4) + (-75*x^2 + 20*x^3 + E^x*(-15*x^2 - x^3 + x^4))*Log[E^x/2])/(1 + 50*x^3 - 10*x^4 + 625*x^6 - 250*x^7 + 25*x^8 + E^(2*x)*(25*x^6 - 10*x^7 + x^8) + E^x*(10*x^3 - 2*x^4 + 250*x^6 - 100*x^7 + 10*x^8)),x]","\frac{-\log \left(e^x\right)+1+\log (2)}{\left(e^x+5\right) x^4-5 \left(e^x+5\right) x^3-1}","\frac{x \log \left(\frac{e^x}{2}\right)-x}{x \left(\left(e^x+5\right) (5-x) x^3+1\right)}",1,"(1 + Log[2] - Log[E^x])/(-1 - 5*(5 + E^x)*x^3 + (5 + E^x)*x^4)","A",1
9168,1,20,24,1.2635266,"\int \exp \left(e^{e^x}+e^{e^{e^{e^x}-5 x+6 x^2}}+e^{e^{e^x}-5 x+6 x^2}-5 x+6 x^2\right) \left(-5+e^{e^x+x}+12 x\right) \, dx","Integrate[E^(E^E^x + E^E^(E^E^x - 5*x + 6*x^2) + E^(E^E^x - 5*x + 6*x^2) - 5*x + 6*x^2)*(-5 + E^(E^x + x) + 12*x),x]","e^{e^{e^{6 x^2-5 x+e^{e^x}}}}","e^{e^{e^{x^2+5 \left(x^2-x\right)+e^{e^x}}}}",1,"E^E^E^(E^E^x - 5*x + 6*x^2)","A",1
9169,1,43,12,0.022781,"\int e^{5+6 x^3} \left(-1-18 x^3\right) \, dx","Integrate[E^(5 + 6*x^3)*(-1 - 18*x^3),x]","\frac{e^5 x \left(\Gamma \left(\frac{1}{3},-6 x^3\right)-3 \Gamma \left(\frac{4}{3},-6 x^3\right)\right)}{3 \sqrt[3]{6} \sqrt[3]{-x^3}}","-e^{6 x^3+5} x",1,"(E^5*x*(Gamma[1/3, -6*x^3] - 3*Gamma[4/3, -6*x^3]))/(3*6^(1/3)*(-x^3)^(1/3))","C",1
9170,1,35,24,0.0106168,"\int \frac{e^3 \left(4+8 \log \left(2+e^5\right)+4 \log ^2\left(2+e^5\right)\right)}{\left(\frac{e^9}{x^5}-\frac{3 e^6}{x^3}+\frac{3 e^3}{x}-x\right) x^2} \, dx","Integrate[(E^3*(4 + 8*Log[2 + E^5] + 4*Log[2 + E^5]^2))/((E^9/x^5 - (3*E^6)/x^3 + (3*E^3)/x - x)*x^2),x]","-\frac{e^3 \left(e^3-2 x^2\right) \left(1+\log \left(2+e^5\right)\right)^2}{\left(e^3-x^2\right)^2}","\frac{\left(1+\log \left(2+e^5\right)\right)^2}{\left(\frac{e^3}{x^2}-1\right)^2}+2",1,"-((E^3*(E^3 - 2*x^2)*(1 + Log[2 + E^5])^2)/(E^3 - x^2)^2)","A",1
9171,1,20,23,0.1177939,"\int \frac{x-x^3+\left(-2 x+4 x^3\right) \log (x)+2 x \log ^2(x)+20 \log ^2(x) \log (\log (2))}{\log ^2(x)} \, dx","Integrate[(x - x^3 + (-2*x + 4*x^3)*Log[x] + 2*x*Log[x]^2 + 20*Log[x]^2*Log[Log[2]])/Log[x]^2,x]","x \left(\frac{\left(x^2-1\right) x}{\log (x)}+x+20 \log (\log (2))\right)","\frac{x \left(x^3-x\right)}{\log (x)}+(x+10 \log (\log (2)))^2",1,"x*(x + (x*(-1 + x^2))/Log[x] + 20*Log[Log[2]])","A",1
9172,1,24,25,0.2008124,"\int \frac{\log \left(5 e^{-2 x^3-5 x^2 \log \left(\log \left(12 x^2\right)\right)}\right) \left(-20 x-12 x^2 \log \left(12 x^2\right)-20 x \log \left(12 x^2\right) \log \left(\log \left(12 x^2\right)\right)\right)}{\log \left(12 x^2\right)} \, dx","Integrate[(Log[5*E^(-2*x^3 - 5*x^2*Log[Log[12*x^2]])]*(-20*x - 12*x^2*Log[12*x^2] - 20*x*Log[12*x^2]*Log[Log[12*x^2]]))/Log[12*x^2],x]","\log ^2\left(5 e^{-2 x^3} \log ^{-5 x^2}\left(12 x^2\right)\right)","\log ^2\left(5 e^{-x^2 \left(5 \log \left(\log \left(12 x^2\right)\right)+2 x\right)}\right)",1,"Log[5/(E^(2*x^3)*Log[12*x^2]^(5*x^2))]^2","A",1
9173,1,6,9,0.0006286,"\int \frac{1+3 x}{x} \, dx","Integrate[(1 + 3*x)/x,x]","3 x+\log (x)","3 x+\log (x)+\frac{13}{4}",1,"3*x + Log[x]","A",1
9174,1,17,19,0.1889926,"\int e^{-16+e^{-16-4 x^2} (-1+x)-4 x^2} \left(-1-8 x+8 x^2\right) \, dx","Integrate[E^(-16 + E^(-16 - 4*x^2)*(-1 + x) - 4*x^2)*(-1 - 8*x + 8*x^2),x]","-e^{e^{-4 x^2-16} (x-1)}","4-e^{e^{-4 x^2-16} (x-1)}",1,"-E^(E^(-16 - 4*x^2)*(-1 + x))","A",1
9175,1,15,17,0.0891474,"\int \frac{1+2 x^3+3 x^3 \log (x)}{x^4+\left(x+x^4\right) \log (x)+x \log ^2(x)} \, dx","Integrate[(1 + 2*x^3 + 3*x^3*Log[x])/(x^4 + (x + x^4)*Log[x] + x*Log[x]^2),x]","\log \left(x^3+\log (x)\right)-\log (\log (x)+1)","\log \left(x^3+\log (x)\right)-\log (3 (\log (x)+1))",1,"-Log[1 + Log[x]] + Log[x^3 + Log[x]]","A",1
9176,1,21,18,0.4234718,"\int \frac{6+4^{4 x+x^2} (-48-24 x) \log (4)}{484+4^{1+8 x+2 x^2}+4^{4 x+x^2} (88-4 x)-44 x+x^2} \, dx","Integrate[(6 + 4^(4*x + x^2)*(-48 - 24*x)*Log[4])/(484 + 4^(1 + 8*x + 2*x^2) + 4^(4*x + x^2)*(88 - 4*x) - 44*x + x^2),x]","\frac{6}{2^{2 x^2+8 x+1}-x+22}","\frac{3}{-\frac{x}{2}+4^{x (x+4)}+11}",1,"6/(22 + 2^(1 + 8*x + 2*x^2) - x)","A",1
9177,1,13,13,0.0826261,"\int \frac{e^{-2+\frac{16}{x^2 \log ^2(x)}} (-32-32 \log (x))}{x^3 \log ^3(x)} \, dx","Integrate[(E^(-2 + 16/(x^2*Log[x]^2))*(-32 - 32*Log[x]))/(x^3*Log[x]^3),x]","e^{\frac{16}{x^2 \log ^2(x)}-2}","e^{\frac{16}{x^2 \log ^2(x)}-2}",1,"E^(-2 + 16/(x^2*Log[x]^2))","A",1
9178,1,46,36,0.0652153,"\int \frac{30 x^2-20 x^5-3 x^6+e^x \left(3 x^2-3 x^3-2 x^5-x^6\right)+\left(48 x-8 x^4\right) \log (2)+9 \log ^2(2)}{x^4} \, dx","Integrate[(30*x^2 - 20*x^5 - 3*x^6 + E^x*(3*x^2 - 3*x^3 - 2*x^5 - x^6) + (48*x - 8*x^4)*Log[2] + 9*Log[2]^2)/x^4,x]","-\frac{x^6+\left(e^x+10\right) x^5+8 x^4 \log (2)+3 \left(e^x+10\right) x^2+24 x \log (2)+3 \log ^2(2)}{x^3}","\left(x^2+\frac{3}{x}\right) \left(-e^x-x-\left(\frac{x-\log (2)}{x}-5\right)^2+6\right)",1,"-((3*(10 + E^x)*x^2 + (10 + E^x)*x^5 + x^6 + 24*x*Log[2] + 8*x^4*Log[2] + 3*Log[2]^2)/x^3)","A",1
9179,1,19,25,0.0027047,"\int \frac{-6 x+2 x \log (3)}{e^4+e^{e^5}} \, dx","Integrate[(-6*x + 2*x*Log[3])/(E^4 + E^E^5),x]","\frac{x^2 (\log (3)-3)}{e^4+e^{e^5}}","\frac{\left(x^2-\frac{1}{e^3}\right) (\log (3)-3)}{e^4+e^{e^5}}",1,"(x^2*(-3 + Log[3]))/(E^4 + E^E^5)","A",1
9180,1,9,16,0.0013016,"\int e^{x^2} x \, dx","Integrate[E^x^2*x,x]","\frac{e^{x^2}}{2}","\frac{e^{x^2}}{2}-\log (e-1)",1,"E^x^2/2","A",1
9181,1,43,28,0.3858537,"\int \frac{\exp \left(\frac{-36+36 e x-x^4-x^3 \log \left(e^e-x\right)}{-x^2+e x^3}\right) \left(72 x+72 e^2 x^3-x^4-2 x^5+e \left(-144 x^2+x^5+x^6\right)+e^e \left(-72-72 e^2 x^2+2 x^4+e \left(144 x-x^5\right)\right)+\left(e^e x^3-x^4\right) \log \left(e^e-x\right)\right)}{-x^4+2 e x^5-e^2 x^6+e^e \left(x^3-2 e x^4+e^2 x^5\right)} \, dx","Integrate[(E^((-36 + 36*E*x - x^4 - x^3*Log[E^E - x])/(-x^2 + E*x^3))*(72*x + 72*E^2*x^3 - x^4 - 2*x^5 + E*(-144*x^2 + x^5 + x^6) + E^E*(-72 - 72*E^2*x^2 + 2*x^4 + E*(144*x - x^5)) + (E^E*x^3 - x^4)*Log[E^E - x]))/(-x^4 + 2*E*x^5 - E^2*x^6 + E^E*(x^3 - 2*E*x^4 + E^2*x^5)),x]","e^{\frac{x^4-36 e x+36}{x^2-e x^3}} \left(e^e-x\right)^{\frac{x}{1-e x}}","e^{\frac{36}{x^2}-\frac{x \left(x+\log \left(e^e-x\right)\right)}{e x-1}}",1,"E^((36 - 36*E*x + x^4)/(x^2 - E*x^3))*(E^E - x)^(x/(1 - E*x))","A",1
9182,1,28,23,0.2780179,"\int \frac{e^x \left(-9 x^3-3 x^4\right)+\left(-3 x^4+e^x \left(36 x^3+21 x^4+3 x^5\right)\right) \log (x)+\left(18 x^2+6 x^3\right) \log ^2(x)+\left(9 x^3+3 x^4+\left(-36 x^3-12 x^4\right) \log (x)\right) \log (3+x)}{(3+x) \log ^2(x)} \, dx","Integrate[(E^x*(-9*x^3 - 3*x^4) + (-3*x^4 + E^x*(36*x^3 + 21*x^4 + 3*x^5))*Log[x] + (18*x^2 + 6*x^3)*Log[x]^2 + (9*x^3 + 3*x^4 + (-36*x^3 - 12*x^4)*Log[x])*Log[3 + x])/((3 + x)*Log[x]^2),x]","3 \left(\frac{x^4 \left(e^x-\log (x+3)\right)}{\log (x)}+\frac{2 x^3}{3}\right)","x^3 \left(\frac{3 x \left(e^x-\log (x+3)\right)}{\log (x)}+2\right)",1,"3*((2*x^3)/3 + (x^4*(E^x - Log[3 + x]))/Log[x])","A",1
9183,1,59,24,0.018631,"\int \frac{-80-800 x-3320 x^2-7400 x^3-9605 x^4-7360 x^5-3320 x^6-800 x^7-80 x^8+\left(400+3200 x+9960 x^2+14800 x^3+9605 x^4-3320 x^6-1600 x^7-240 x^8\right) \log (x)}{x^6} \, dx","Integrate[(-80 - 800*x - 3320*x^2 - 7400*x^3 - 9605*x^4 - 7360*x^5 - 3320*x^6 - 800*x^7 - 80*x^8 + (400 + 3200*x + 9960*x^2 + 14800*x^3 + 9605*x^4 - 3320*x^6 - 1600*x^7 - 240*x^8)*Log[x])/x^6,x]","-\frac{80 \log (x)}{x^5}-\frac{800 \log (x)}{x^4}-80 x^3 \log (x)-\frac{3320 \log (x)}{x^3}-800 x^2 \log (x)-\frac{7400 \log (x)}{x^2}-3320 x \log (x)-7360 \log (x)-\frac{9605 \log (x)}{x}","5 \left(9-\frac{\left(2 \left(x+\frac{1}{x}\right)+5\right)^4+x}{x}\right) \log (x)",1,"-7360*Log[x] - (80*Log[x])/x^5 - (800*Log[x])/x^4 - (3320*Log[x])/x^3 - (7400*Log[x])/x^2 - (9605*Log[x])/x - 3320*x*Log[x] - 800*x^2*Log[x] - 80*x^3*Log[x]","B",1
9184,1,24,26,0.2443572,"\int \frac{e^{-2 x^2} \left(4-2 x+\left(-2-x+8 x^2-4 x^3\right) \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)\right)}{\left(-32+48 x-24 x^2+4 x^3\right) \log \left(x^2\right) \log ^2\left(\log \left(x^2\right)\right)} \, dx","Integrate[(4 - 2*x + (-2 - x + 8*x^2 - 4*x^3)*Log[x^2]*Log[Log[x^2]])/(E^(2*x^2)*(-32 + 48*x - 24*x^2 + 4*x^3)*Log[x^2]*Log[Log[x^2]]^2),x]","\frac{e^{-2 x^2} x}{4 (x-2)^2 \log \left(\log \left(x^2\right)\right)}","\frac{e^{-2 x^2} x}{4 (2-x)^2 \log \left(\log \left(x^2\right)\right)}",1,"x/(4*E^(2*x^2)*(-2 + x)^2*Log[Log[x^2]])","A",1
9185,1,31,17,0.0401249,"\int \frac{-46-117 x-72 x^2-2 x^3+\left(-46-46 x-x^2\right) \log (x)}{529+46 x+x^2} \, dx","Integrate[(-46 - 117*x - 72*x^2 - 2*x^3 + (-46 - 46*x - x^2)*Log[x])/(529 + 46*x + x^2),x]","-x^2+21 x-x \log (x)+\frac{483 (23-\log (x))}{x+23}+21 \log (x)","3-\frac{x (x+2) (x+\log (x))}{x+23}",1,"21*x - x^2 + (483*(23 - Log[x]))/(23 + x) + 21*Log[x] - x*Log[x]","A",1
9186,1,25,27,0.0403112,"\int \frac{10+5 e^{4-x} x^2}{4 x^2+e^2 x^2} \, dx","Integrate[(10 + 5*E^(4 - x)*x^2)/(4*x^2 + E^2*x^2),x]","-\frac{5 e^{4-x} x+10}{e^2 x+4 x}","4-\frac{5 \left(e^{4-x}+\frac{2}{x}+7+\log (4)\right)}{4+e^2}",1,"-((10 + 5*E^(4 - x)*x)/(4*x + E^2*x))","A",1
9187,1,32,29,0.3826926,"\int \frac{4 \log (5)+e^x (16-16 x) \log ^2(5)+\left(1088+64 x^2\right) \log ^2(5)}{1+\left(544-8 x-32 x^2\right) \log (5)+16 e^{2 x} \log ^2(5)+\left(73984-2176 x-8688 x^2+128 x^3+256 x^4\right) \log ^2(5)+e^x \left(8 \log (5)+\left(2176-32 x-128 x^2\right) \log ^2(5)\right)} \, dx","Integrate[(4*Log[5] + E^x*(16 - 16*x)*Log[5]^2 + (1088 + 64*x^2)*Log[5]^2)/(1 + (544 - 8*x - 32*x^2)*Log[5] + 16*E^(2*x)*Log[5]^2 + (73984 - 2176*x - 8688*x^2 + 128*x^3 + 256*x^4)*Log[5]^2 + E^x*(8*Log[5] + (2176 - 32*x - 128*x^2)*Log[5]^2)),x]","\frac{4 x \log (5)}{-16 x^2 \log (5)-4 x \log (5)+4 e^x \log (5)+1+272 \log (5)}","\frac{x}{4 \left(16-x^2\right)-x+e^x+4+\frac{1}{4 \log (5)}}",1,"(4*x*Log[5])/(1 + 272*Log[5] + 4*E^x*Log[5] - 4*x*Log[5] - 16*x^2*Log[5])","A",1
9188,1,47,23,0.2230952,"\int \frac{16 x^2+32 x^3+24 x^4+\left(32 x^2+32 x^3\right) \log (4)+\left(-16+8 x^2\right) \log ^2(4)+e^x \left(8 x^2+8 x^3+16 x^2 \log (4)+(-8+8 x) \log ^2(4)\right)}{x^2} \, dx","Integrate[(16*x^2 + 32*x^3 + 24*x^4 + (32*x^2 + 32*x^3)*Log[4] + (-16 + 8*x^2)*Log[4]^2 + E^x*(8*x^2 + 8*x^3 + 16*x^2*Log[4] + (-8 + 8*x)*Log[4]^2))/x^2,x]","8 \left(x^3+2 x^2 (1+\log (4))+x \left(e^x+2+\log ^2(4)+\log (256)\right)+\frac{\left(e^x+2\right) \log ^2(4)}{x}+e^x \log (16)\right)","8 \left(x+\frac{2 (x+1)+e^x}{x}\right) (x+\log (4))^2",1,"8*(x^3 + ((2 + E^x)*Log[4]^2)/x + 2*x^2*(1 + Log[4]) + E^x*Log[16] + x*(2 + E^x + Log[4]^2 + Log[256]))","B",1
9189,1,16,16,0.1297019,"\int -\frac{40 e^{e^{\frac{5}{4 \log ^2\left(x^2\right)}}+\frac{5}{4 \log ^2\left(x^2\right)}}}{x \log ^3\left(x^2\right)} \, dx","Integrate[(-40*E^(E^(5/(4*Log[x^2]^2)) + 5/(4*Log[x^2]^2)))/(x*Log[x^2]^3),x]","8 e^{e^{\frac{5}{4 \log ^2\left(x^2\right)}}}","8 e^{e^{\frac{5}{4 \log ^2\left(x^2\right)}}}",1,"8*E^E^(5/(4*Log[x^2]^2))","A",1
9190,1,22,22,0.0373904,"\int \frac{e^{33-3 e^5+3 e^x+96 x^2} \left(1+\left(3 e^x x+192 x^2\right) \log (x)\right)}{x} \, dx","Integrate[(E^(33 - 3*E^5 + 3*E^x + 96*x^2)*(1 + (3*E^x*x + 192*x^2)*Log[x]))/x,x]","e^{96 x^2+3 e^x-3 e^5+33} \log (x)","e^{3 \left(32 x^2+e^x-e^5+11\right)} \log (x)",1,"E^(33 - 3*E^5 + 3*E^x + 96*x^2)*Log[x]","A",1
9191,1,26,27,0.058506,"\int \frac{4+e^4+x+\left(1+e^9 \left(-4-e^4-x\right)\right) \log \left(\frac{e^x}{4}\right) \log \left(\log \left(\frac{e^x}{4}\right)\right)}{e^9 \left(-4 x-e^4 x-x^2\right) \log \left(\frac{e^x}{4}\right) \log \left(\log \left(\frac{e^x}{4}\right)\right)+\left(4+e^4+x\right) \log \left(\frac{e^x}{4}\right) \log \left(\log \left(\frac{e^x}{4}\right)\right) \log \left(\left(4+e^4+x\right) \log \left(\log \left(\frac{e^x}{4}\right)\right)\right)} \, dx","Integrate[(4 + E^4 + x + (1 + E^9*(-4 - E^4 - x))*Log[E^x/4]*Log[Log[E^x/4]])/(E^9*(-4*x - E^4*x - x^2)*Log[E^x/4]*Log[Log[E^x/4]] + (4 + E^4 + x)*Log[E^x/4]*Log[Log[E^x/4]]*Log[(4 + E^4 + x)*Log[Log[E^x/4]]]),x]","\log \left(e^9 x-\log \left(\left(x+e^4+4\right) \log \left(\log \left(\frac{e^x}{4}\right)\right)\right)\right)","\log \left(\log \left(\left(x+e^4+4\right) \log \left(\log \left(\frac{e^x}{4}\right)\right)\right)-e^9 x\right)+5",1,"Log[E^9*x - Log[(4 + E^4 + x)*Log[Log[E^x/4]]]]","A",1
9192,1,40,28,0.0114697,"\int \left(16+3 x+6 x^2+x^3+\left(-2 x-3 x^2\right) \log \left(e^{-x} x\right)\right) \, dx","Integrate[16 + 3*x + 6*x^2 + x^3 + (-2*x - 3*x^2)*Log[x/E^x],x]","2 x^3+x^3 \left(-\log \left(e^{-x} x\right)\right)+2 x^2-x^2 \log \left(e^{-x} x\right)+16 x","4 x \left(\left(\frac{x}{4}+\frac{1}{4}\right) x \left(2-\log \left(e^{-x} x\right)\right)+4\right)",1,"16*x + 2*x^2 + 2*x^3 - x^2*Log[x/E^x] - x^3*Log[x/E^x]","A",1
9193,1,24,24,0.0811692,"\int \frac{e^{-e^x} \left(-4 \log \left(\frac{7}{2}\right)-4 e^x x \log \left(\frac{7}{2}\right)+e^{4 x} \left(16 \log \left(\frac{7}{2}\right)+4 e^x \log \left(\frac{7}{2}\right)\right)\right)}{e^{8 x}-2 e^{4 x} x+x^2} \, dx","Integrate[(-4*Log[7/2] - 4*E^x*x*Log[7/2] + E^(4*x)*(16*Log[7/2] + 4*E^x*Log[7/2]))/(E^E^x*(E^(8*x) - 2*E^(4*x)*x + x^2)),x]","-\frac{4 e^{-e^x} \log \left(\frac{7}{2}\right)}{e^{4 x}-x}","\frac{4 e^{-e^x} \log \left(\frac{7}{2}\right)}{x-e^{4 x}}",1,"(-4*Log[7/2])/(E^E^x*(E^(4*x) - x))","A",1
9194,1,19,25,0.1918361,"\int \frac{e^{3 x} \left(2500 x^3-4375 x^4\right)+e^{1+x} \left(2500 x^3+625 x^4\right)}{16 e^5+16 e^{10 x}+80 e^{4+2 x}+160 e^{3+4 x}+160 e^{2+6 x}+80 e^{1+8 x}} \, dx","Integrate[(E^(3*x)*(2500*x^3 - 4375*x^4) + E^(1 + x)*(2500*x^3 + 625*x^4))/(16*E^5 + 16*E^(10*x) + 80*E^(4 + 2*x) + 160*E^(3 + 4*x) + 160*E^(2 + 6*x) + 80*E^(1 + 8*x)),x]","\frac{625 e^x x^4}{16 \left(e^{2 x}+e\right)^4}","\frac{625 e^x x^4}{16 \left(e^{2 x}+e\right)^4}+e^{e^4}",1,"(625*E^x*x^4)/(16*(E + E^(2*x))^4)","A",1
9195,1,9,12,0.0005438,"\int \frac{400+\log (18)}{x^2} \, dx","Integrate[(400 + Log[18])/x^2,x]","-\frac{400+\log (18)}{x}","-\frac{400+\log (18)}{x}+e+5",1,"-((400 + Log[18])/x)","A",1
9196,1,37,28,0.1335422,"\int \frac{1}{4} e^{-x} \left(4 e^{2 x}+e^x \left(10 x-x^3\right)+\left(2 x+e^x \left(20 x-4 x^3\right)\right) \log (x)+\left(2 x-x^2\right) \log ^2(x)\right) \, dx","Integrate[(4*E^(2*x) + E^x*(10*x - x^3) + (2*x + E^x*(20*x - 4*x^3))*Log[x] + (2*x - x^2)*Log[x]^2)/(4*E^x),x]","\frac{1}{4} \left(x^4 (-\log (x))+e^{-x} x^2 \log ^2(x)+10 x^2 \log (x)+4 e^x\right)","\frac{1}{4} x^2 \log (x) \left(-x^2+e^{-x} \log (x)+10\right)+e^x",1,"(4*E^x + 10*x^2*Log[x] - x^4*Log[x] + (x^2*Log[x]^2)/E^x)/4","A",1
9197,1,28,28,0.0327078,"\int \frac{(-3-3 \log (x)) \log \left(\frac{3+16 x \log \left(-2+e^5\right) \log (x)}{4 x \log \left(-2+e^5\right) \log (x)}\right)}{6 x \log (x)+32 x^2 \log \left(-2+e^5\right) \log ^2(x)} \, dx","Integrate[((-3 - 3*Log[x])*Log[(3 + 16*x*Log[-2 + E^5]*Log[x])/(4*x*Log[-2 + E^5]*Log[x])])/(6*x*Log[x] + 32*x^2*Log[-2 + E^5]*Log[x]^2),x]","\frac{1}{4} \log ^2\left(\frac{3}{4 x \log \left(e^5-2\right) \log (x)}+4\right)","\frac{1}{4} \log ^2\left(\frac{3}{4 x \log \left(e^5-2\right) \log (x)}+4\right)",1,"Log[4 + 3/(4*x*Log[-2 + E^5]*Log[x])]^2/4","A",1
9198,0,0,28,7.3421391,"\int \frac{-6885-1701 x+1593 x^2-867 x^3-84 x^4+216 x^5+2 x^6+14 x^7+6 x^8+\left(864 x^2-96 x^3-182 x^4+6 x^5-34 x^6-10 x^7\right) \log (2)+\left(18 x^5+4 x^6\right) \log ^2(2)}{\left(6777-108 x-2034 x^2+116 x^3-84 x^4-69 x^5+39 x^6+5 x^7+x^8+x^9+\left(288 x^3+48 x^4-46 x^5-4 x^6-4 x^7-2 x^8\right) \log (2)+\left(3 x^6+x^7\right) \log ^2(2)\right) \log \left(\frac{2259-789 x-415 x^2+177 x^3-87 x^4+6 x^5+11 x^6-2 x^7+x^8+\left(96 x^3-16 x^4-10 x^5+2 x^6-2 x^7\right) \log (2)+x^6 \log ^2(2)}{9+6 x+x^2}\right)} \, dx","Integrate[(-6885 - 1701*x + 1593*x^2 - 867*x^3 - 84*x^4 + 216*x^5 + 2*x^6 + 14*x^7 + 6*x^8 + (864*x^2 - 96*x^3 - 182*x^4 + 6*x^5 - 34*x^6 - 10*x^7)*Log[2] + (18*x^5 + 4*x^6)*Log[2]^2)/((6777 - 108*x - 2034*x^2 + 116*x^3 - 84*x^4 - 69*x^5 + 39*x^6 + 5*x^7 + x^8 + x^9 + (288*x^3 + 48*x^4 - 46*x^5 - 4*x^6 - 4*x^7 - 2*x^8)*Log[2] + (3*x^6 + x^7)*Log[2]^2)*Log[(2259 - 789*x - 415*x^2 + 177*x^3 - 87*x^4 + 6*x^5 + 11*x^6 - 2*x^7 + x^8 + (96*x^3 - 16*x^4 - 10*x^5 + 2*x^6 - 2*x^7)*Log[2] + x^6*Log[2]^2)/(9 + 6*x + x^2)]),x]","\int \frac{-6885-1701 x+1593 x^2-867 x^3-84 x^4+216 x^5+2 x^6+14 x^7+6 x^8+\left(864 x^2-96 x^3-182 x^4+6 x^5-34 x^6-10 x^7\right) \log (2)+\left(18 x^5+4 x^6\right) \log ^2(2)}{\left(6777-108 x-2034 x^2+116 x^3-84 x^4-69 x^5+39 x^6+5 x^7+x^8+x^9+\left(288 x^3+48 x^4-46 x^5-4 x^6-4 x^7-2 x^8\right) \log (2)+\left(3 x^6+x^7\right) \log ^2(2)\right) \log \left(\frac{2259-789 x-415 x^2+177 x^3-87 x^4+6 x^5+11 x^6-2 x^7+x^8+\left(96 x^3-16 x^4-10 x^5+2 x^6-2 x^7\right) \log (2)+x^6 \log ^2(2)}{9+6 x+x^2}\right)} \, dx","\log \left(\log \left(\left(\frac{x^3 (\log (2)-x)}{x+3}+(x-4)^2\right)^2+x-5\right)\right)",1,"Integrate[(-6885 - 1701*x + 1593*x^2 - 867*x^3 - 84*x^4 + 216*x^5 + 2*x^6 + 14*x^7 + 6*x^8 + (864*x^2 - 96*x^3 - 182*x^4 + 6*x^5 - 34*x^6 - 10*x^7)*Log[2] + (18*x^5 + 4*x^6)*Log[2]^2)/((6777 - 108*x - 2034*x^2 + 116*x^3 - 84*x^4 - 69*x^5 + 39*x^6 + 5*x^7 + x^8 + x^9 + (288*x^3 + 48*x^4 - 46*x^5 - 4*x^6 - 4*x^7 - 2*x^8)*Log[2] + (3*x^6 + x^7)*Log[2]^2)*Log[(2259 - 789*x - 415*x^2 + 177*x^3 - 87*x^4 + 6*x^5 + 11*x^6 - 2*x^7 + x^8 + (96*x^3 - 16*x^4 - 10*x^5 + 2*x^6 - 2*x^7)*Log[2] + x^6*Log[2]^2)/(9 + 6*x + x^2)]), x]","F",-1
9199,0,0,35,1.2299982,"\int \frac{\frac{e^{4-2 e^x} \left(2 x+\left(2-2 x^2\right) \log (4)+e^x \left(2 x^2+\left(2 x-2 x^3\right) \log (4)\right)\right)}{x^2}+\left(-2 x+4 x^2 \log (4)\right) \log \left(-x+\left(-1+x^2\right) \log (4)\right)+\frac{e^{2-e^x} \left(2 x-4 x^2 \log (4)+\left(-2 x+\left(-2+2 x^2\right) \log (4)+e^x \left(-2 x^2+\left(-2 x+2 x^3\right) \log (4)\right)\right) \log \left(-x+\left(-1+x^2\right) \log (4)\right)\right)}{x}}{-9 x^2+\left(-9 x+9 x^3\right) \log (4)} \, dx","Integrate[((E^(4 - 2*E^x)*(2*x + (2 - 2*x^2)*Log[4] + E^x*(2*x^2 + (2*x - 2*x^3)*Log[4])))/x^2 + (-2*x + 4*x^2*Log[4])*Log[-x + (-1 + x^2)*Log[4]] + (E^(2 - E^x)*(2*x - 4*x^2*Log[4] + (-2*x + (-2 + 2*x^2)*Log[4] + E^x*(-2*x^2 + (-2*x + 2*x^3)*Log[4]))*Log[-x + (-1 + x^2)*Log[4]]))/x)/(-9*x^2 + (-9*x + 9*x^3)*Log[4]),x]","\int \frac{\frac{e^{4-2 e^x} \left(2 x+\left(2-2 x^2\right) \log (4)+e^x \left(2 x^2+\left(2 x-2 x^3\right) \log (4)\right)\right)}{x^2}+\left(-2 x+4 x^2 \log (4)\right) \log \left(-x+\left(-1+x^2\right) \log (4)\right)+\frac{e^{2-e^x} \left(2 x-4 x^2 \log (4)+\left(-2 x+\left(-2+2 x^2\right) \log (4)+e^x \left(-2 x^2+\left(-2 x+2 x^3\right) \log (4)\right)\right) \log \left(-x+\left(-1+x^2\right) \log (4)\right)\right)}{x}}{-9 x^2+\left(-9 x+9 x^3\right) \log (4)} \, dx","\frac{1}{9} \left(\frac{e^{2-e^x}}{x}-\log \left(\left(x^2-1\right) \log (4)-x\right)\right)^2",1,"Integrate[((E^(4 - 2*E^x)*(2*x + (2 - 2*x^2)*Log[4] + E^x*(2*x^2 + (2*x - 2*x^3)*Log[4])))/x^2 + (-2*x + 4*x^2*Log[4])*Log[-x + (-1 + x^2)*Log[4]] + (E^(2 - E^x)*(2*x - 4*x^2*Log[4] + (-2*x + (-2 + 2*x^2)*Log[4] + E^x*(-2*x^2 + (-2*x + 2*x^3)*Log[4]))*Log[-x + (-1 + x^2)*Log[4]]))/x)/(-9*x^2 + (-9*x + 9*x^3)*Log[4]), x]","F",-1
9200,1,7,13,0.0008461,"\int \frac{-1+5 x^2}{x^2} \, dx","Integrate[(-1 + 5*x^2)/x^2,x]","5 x+\frac{1}{x}","5 x+\frac{1}{x}-\frac{2}{e^4}-5",1,"x^(-1) + 5*x","A",1
9201,1,15,20,0.0063607,"\int \frac{-150-20 x-2 x^2}{75 x+20 x^2+x^3} \, dx","Integrate[(-150 - 20*x - 2*x^2)/(75*x + 20*x^2 + x^3),x]","-2 (\log (x)-\log (x+5)+\log (x+15))","-2 \log \left(\left(\frac{5-x}{x+5}+1\right) x+x\right)",1,"-2*(Log[x] - Log[5 + x] + Log[15 + x])","A",1
9202,1,20,20,0.1917009,"\int \frac{2 e^{x^2} x^4-2 e^{e^{\frac{\log ^2\left(\frac{174}{7}\right)}{x^2}}+\frac{\log ^2\left(\frac{174}{7}\right)}{x^2}} \log ^2\left(\frac{174}{7}\right)}{x^3} \, dx","Integrate[(2*E^x^2*x^4 - 2*E^(E^(Log[174/7]^2/x^2) + Log[174/7]^2/x^2)*Log[174/7]^2)/x^3,x]","e^{x^2}+e^{e^{\frac{\log ^2\left(\frac{174}{7}\right)}{x^2}}}","e^{x^2}+e^{e^{\frac{\log ^2\left(\frac{174}{7}\right)}{x^2}}}",1,"E^E^(Log[174/7]^2/x^2) + E^x^2","A",1
9203,1,23,23,0.6554914,"\int \frac{\exp \left(-1-e^{1+x+x^2}+\frac{3 e^{-1-e^{1+x+x^2}}}{1568 x^2}\right) \left(-6+e^{1+x+x^2} \left(-3 x-6 x^2\right)\right)}{1568 x^3} \, dx","Integrate[(E^(-1 - E^(1 + x + x^2) + (3*E^(-1 - E^(1 + x + x^2)))/(1568*x^2))*(-6 + E^(1 + x + x^2)*(-3*x - 6*x^2)))/(1568*x^3),x]","e^{\frac{3 e^{-e^{x^2+x+1}-1}}{1568 x^2}}","e^{\frac{3 e^{-e^{x^2+x+1}-1}}{1568 x^2}}",1,"E^((3*E^(-1 - E^(1 + x + x^2)))/(1568*x^2))","A",1
9204,1,43,33,0.021647,"\int \frac{-10+74 x-32 x^2+18 x^3-28 x^4-70 x^5+50 x^6}{2 x-11 x^2+7 x^3-23 x^4+81 x^5-85 x^6+25 x^7} \, dx","Integrate[(-10 + 74*x - 32*x^2 + 18*x^3 - 28*x^4 - 70*x^5 + 50*x^6)/(2*x - 11*x^2 + 7*x^3 - 23*x^4 + 81*x^5 - 85*x^6 + 25*x^7),x]","2 \left(\log \left(5 x^4-6 x^3+x^2+1\right)-\log (1-5 x)+\frac{1}{2} \log (2-x)-\frac{5 \log (x)}{2}\right)","\log \left(\frac{1}{3} (x-2) \left(\frac{1}{\left(x-5 x^2\right) x}-x+1\right)^2\right)-\log (x)",1,"2*(-Log[1 - 5*x] + Log[2 - x]/2 - (5*Log[x])/2 + Log[1 + x^2 - 6*x^3 + 5*x^4])","A",1
9205,1,34,28,0.0533451,"\int \frac{-1-e^x x^2 \log (2)+\left(-1+2 x-x^2\right) \log (2)+\log (x)}{x^2 \log (2)} \, dx","Integrate[(-1 - E^x*x^2*Log[2] + (-1 + 2*x - x^2)*Log[2] + Log[x])/(x^2*Log[2]),x]","\frac{x (-\log (2))+\log (4) \log (x)-e^x \log (2)-\frac{\log \left(\frac{x}{2}\right)}{x}}{\log (2)}","\log \left(x^2\right)-x-e^x+\frac{1}{x}-\frac{\log (x)}{x \log (2)}+5",1,"(-(E^x*Log[2]) - x*Log[2] - Log[x/2]/x + Log[4]*Log[x])/Log[2]","A",1
9206,1,19,19,0.0975226,"\int \frac{e^{-3+x^4} \left(-1+4 x^4\right)}{e^{-6+2 x^4}+2 e^{-3+x^4} x+x^2} \, dx","Integrate[(E^(-3 + x^4)*(-1 + 4*x^4))/(E^(-6 + 2*x^4) + 2*E^(-3 + x^4)*x + x^2),x]","-\frac{e^3 x}{e^{x^4}+e^3 x}","\frac{x}{e^{3-x^4} x^2+x}",1,"-((E^3*x)/(E^x^4 + E^3*x))","A",1
9207,1,24,30,0.1129968,"\int \frac{50+20 x^2+2 x^4+\left(-100-20 x^2\right) \log (5)+50 \log ^2(5)+e^{\frac{9 x+x^3-5 x \log (5)}{-5-x^2+5 \log (5)}} \left(-45-6 x^2-x^4+\left(70+10 x^2\right) \log (5)-25 \log ^2(5)\right)}{25+10 x^2+x^4+\left(-50-10 x^2\right) \log (5)+25 \log ^2(5)} \, dx","Integrate[(50 + 20*x^2 + 2*x^4 + (-100 - 20*x^2)*Log[5] + 50*Log[5]^2 + E^((9*x + x^3 - 5*x*Log[5])/(-5 - x^2 + 5*Log[5]))*(-45 - 6*x^2 - x^4 + (70 + 10*x^2)*Log[5] - 25*Log[5]^2))/(25 + 10*x^2 + x^4 + (-50 - 10*x^2)*Log[5] + 25*Log[5]^2),x]","e^{-\frac{4 x}{x^2+5-5 \log (5)}-x}+2 x","2 x+e^{\frac{4}{-x-\frac{5}{x}+\frac{5 \log (5)}{x}}-x}",1,"E^(-x - (4*x)/(5 + x^2 - 5*Log[5])) + 2*x","A",1
9208,1,65,27,0.0287201,"\int \frac{1}{256} \left(-256+48 x^2-24 e x^2+3 e^2 x^2+e^{-5+x} \left(-32 x-16 x^2+e^2 \left(-2 x-x^2\right)+e \left(16 x+8 x^2\right)\right)\right) \, dx","Integrate[(-256 + 48*x^2 - 24*E*x^2 + 3*E^2*x^2 + E^(-5 + x)*(-32*x - 16*x^2 + E^2*(-2*x - x^2) + E*(16*x + 8*x^2)))/256,x]","\frac{e^7 x^3-8 e^6 x^3+16 e^5 x^3-16 e^x x^2+8 e^{x+1} x^2-e^{x+2} x^2-256 e^5 x}{256 e^5}","\frac{1}{256} (4-e)^2 x^2 \left(x-e^{x-5}\right)-x",1,"(-256*E^5*x - 16*E^x*x^2 + 8*E^(1 + x)*x^2 - E^(2 + x)*x^2 + 16*E^5*x^3 - 8*E^6*x^3 + E^7*x^3)/(256*E^5)","B",1
9209,1,20,20,0.0931302,"\int \frac{e^{-2 e^4} \left(-10 e^{2 x} x^2+e^{2 x} \left(15 x^2+10 x^3\right) \log (x)\right)}{\log ^3(x)} \, dx","Integrate[(-10*E^(2*x)*x^2 + E^(2*x)*(15*x^2 + 10*x^3)*Log[x])/(E^(2*E^4)*Log[x]^3),x]","\frac{5 e^{2 x-2 e^4} x^3}{\log ^2(x)}","\frac{5 e^{2 x-2 e^4} x^3}{\log ^2(x)}",1,"(5*E^(-2*E^4 + 2*x)*x^3)/Log[x]^2","A",1
9210,1,13,24,0.0035888,"\int \frac{3+e^4+x-\log (5)}{3+e^4+x} \, dx","Integrate[(3 + E^4 + x - Log[5])/(3 + E^4 + x),x]","x-\log (5) \log \left(x+e^4+3\right)","x-\log (5) \left(\log \left(\frac{1}{4} \left(x+e^4-1\right)+1\right)+\log ^2(3)\right)",1,"x - Log[5]*Log[3 + E^4 + x]","A",1
9211,1,19,19,0.1431882,"\int \frac{-96 x-x^2+x^3+\left(5-6 x+11 x^2-2 x^3\right) \log (-5+x)+x \log (x)}{\left(-5 x+x^2\right) \log ^2(-5+x)} \, dx","Integrate[(-96*x - x^2 + x^3 + (5 - 6*x + 11*x^2 - 2*x^3)*Log[-5 + x] + x*Log[x])/((-5*x + x^2)*Log[-5 + x]^2),x]","\frac{-x^2+x-\log (x)+96}{\log (x-5)}","\frac{-x^2+x-\log (x)+96}{\log (x-5)}",1,"(96 + x - x^2 - Log[x])/Log[-5 + x]","A",1
9212,1,20,20,0.107808,"\int \frac{x+\left(-2 e x+2 e^{e^{10}} x+2 x \log \left(\frac{x}{4}\right)\right) \log \left(-e+e^{e^{10}}+\log \left(\frac{x}{4}\right)\right)}{-e+e^{e^{10}}+\log \left(\frac{x}{4}\right)} \, dx","Integrate[(x + (-2*E*x + 2*E^E^10*x + 2*x*Log[x/4])*Log[-E + E^E^10 + Log[x/4]])/(-E + E^E^10 + Log[x/4]),x]","x^2 \log \left(\log \left(\frac{x}{4}\right)+e^{e^{10}}-e\right)","x^2 \log \left(\log \left(\frac{x}{4}\right)+e^{e^{10}}-e\right)",1,"x^2*Log[-E + E^E^10 + Log[x/4]]","A",1
9213,1,15,20,0.0065362,"\int \left(1-e^x+e^{5+x} (3+3 x)\right) \, dx","Integrate[1 - E^x + E^(5 + x)*(3 + 3*x),x]","3 e^{x+5} x+x-e^x","\left(3 e^{x+5}+1\right) x-e^x+2+\log (5)",1,"-E^x + x + 3*E^(5 + x)*x","A",1
9214,0,0,24,4.8196604,"\int \frac{\exp \left(-2 x+\frac{e^{-2 x} \left(25+e^{4 x}+e^{3 x} (-2-2 \log (2))+e^x (10+10 \log (2))+e^{2 x} \left(-9+2 \log (2)+\log ^2(2)\right)\right)}{x}\right) \left(-25-50 x+e^{4 x} (-1+2 x)+e^x (-10-10 x+(-10-10 x) \log (2))+e^{3 x} (2-2 x+(2-2 x) \log (2))+e^{2 x} \left(9-2 \log (2)-\log ^2(2)\right)\right)}{x^2} \, dx","Integrate[(E^(-2*x + (25 + E^(4*x) + E^(3*x)*(-2 - 2*Log[2]) + E^x*(10 + 10*Log[2]) + E^(2*x)*(-9 + 2*Log[2] + Log[2]^2))/(E^(2*x)*x))*(-25 - 50*x + E^(4*x)*(-1 + 2*x) + E^x*(-10 - 10*x + (-10 - 10*x)*Log[2]) + E^(3*x)*(2 - 2*x + (2 - 2*x)*Log[2]) + E^(2*x)*(9 - 2*Log[2] - Log[2]^2)))/x^2,x]","\int \frac{\exp \left(-2 x+\frac{e^{-2 x} \left(25+e^{4 x}+e^{3 x} (-2-2 \log (2))+e^x (10+10 \log (2))+e^{2 x} \left(-9+2 \log (2)+\log ^2(2)\right)\right)}{x}\right) \left(-25-50 x+e^{4 x} (-1+2 x)+e^x (-10-10 x+(-10-10 x) \log (2))+e^{3 x} (2-2 x+(2-2 x) \log (2))+e^{2 x} \left(9-2 \log (2)-\log ^2(2)\right)\right)}{x^2} \, dx","e^{\frac{\left(5 e^{-x}-e^x+1+\log (2)\right)^2}{x}}",1,"Integrate[(E^(-2*x + (25 + E^(4*x) + E^(3*x)*(-2 - 2*Log[2]) + E^x*(10 + 10*Log[2]) + E^(2*x)*(-9 + 2*Log[2] + Log[2]^2))/(E^(2*x)*x))*(-25 - 50*x + E^(4*x)*(-1 + 2*x) + E^x*(-10 - 10*x + (-10 - 10*x)*Log[2]) + E^(3*x)*(2 - 2*x + (2 - 2*x)*Log[2]) + E^(2*x)*(9 - 2*Log[2] - Log[2]^2)))/x^2, x]","F",-1
9215,1,21,21,0.2980764,"\int \frac{1}{3} e^{\frac{1}{3} \left(e^{31/5} x^2+e^{\frac{6}{5}+x} x^2\right)} \left(2 e^{31/5} x+e^{\frac{6}{5}+x} \left(2 x+x^2\right)\right) \, dx","Integrate[(E^((E^(31/5)*x^2 + E^(6/5 + x)*x^2)/3)*(2*E^(31/5)*x + E^(6/5 + x)*(2*x + x^2)))/3,x]","e^{\frac{1}{3} e^{6/5} \left(e^x+e^5\right) x^2}","e^{\frac{1}{3} e^{6/5} \left(e^x+e^5\right) x^2}",1,"E^((E^(6/5)*(E^5 + E^x)*x^2)/3)","A",1
9216,1,10,12,0.0000705,"\int \frac{90}{e \log (2)} \, dx","Integrate[90/(E*Log[2]),x]","\frac{90 x}{e \log (2)}","\frac{90 x}{e \log (2)}+2",1,"(90*x)/(E*Log[2])","A",1
9217,1,21,25,0.2244654,"\int \frac{64 e^{-6+x} \left(-14+48 x+32 x^2\right)+16 e^{-4+x} \left(2-9 x+8 x^2-16 x^3\right)}{\frac{2048}{e^6}-\frac{768 x}{e^4}+\frac{96 x^2}{e^2}-4 x^3} \, dx","Integrate[(64*E^(-6 + x)*(-14 + 48*x + 32*x^2) + 16*E^(-4 + x)*(2 - 9*x + 8*x^2 - 16*x^3))/(2048/E^6 - (768*x)/E^4 + (96*x^2)/E^2 - 4*x^3),x]","\frac{4 e^x (1-4 x)^2}{\left(e^2 x-8\right)^2}","\frac{e^x \left(2 x-\frac{1}{2}\right)^2}{\left(\frac{e^2 x}{4}-2\right)^2}",1,"(4*E^x*(1 - 4*x)^2)/(-8 + E^2*x)^2","A",1
9218,1,19,28,0.0388423,"\int \frac{-32+32 x^2+(-32+32 x) \log (3)+\left(16 x^3-16 x^4\right) \log (1+x+\log (3))+\left(24 x^2-8 x^3-32 x^4+\left(24 x^2-32 x^3\right) \log (3)\right) \log ^2(1+x+\log (3))+4 x^6 \log ^3(1+x+\log (3))+\left(6 x^5+6 x^6+6 x^5 \log (3)\right) \log ^4(1+x+\log (3))}{1+x+\log (3)} \, dx","Integrate[(-32 + 32*x^2 + (-32 + 32*x)*Log[3] + (16*x^3 - 16*x^4)*Log[1 + x + Log[3]] + (24*x^2 - 8*x^3 - 32*x^4 + (24*x^2 - 32*x^3)*Log[3])*Log[1 + x + Log[3]]^2 + 4*x^6*Log[1 + x + Log[3]]^3 + (6*x^5 + 6*x^6 + 6*x^5*Log[3])*Log[1 + x + Log[3]]^4)/(1 + x + Log[3]),x]","\left(x^3 \log ^2(x+1+\log (3))-4 x+4\right)^2","x^2 \left(-x^2 \log ^2(x+1+\log (3))-\frac{4}{x}+4\right)^2+4",1,"(4 - 4*x + x^3*Log[1 + x + Log[3]]^2)^2","A",1
9219,1,21,19,0.4054246,"\int \frac{e^2 x+32 e^4 \log (-2 x)}{2 x+x^2+16 e^2 x \log ^2(-2 x)} \, dx","Integrate[(E^2*x + 32*E^4*Log[-2*x])/(2*x + x^2 + 16*E^2*x*Log[-2*x]^2),x]","e^2 \log \left(2 x+32 e^2 \log ^2(-2 x)+4\right)","e^2 \log \left(x+16 e^2 \log ^2(-2 x)+2\right)",1,"E^2*Log[4 + 2*x + 32*E^2*Log[-2*x]^2]","A",1
9220,1,26,27,0.0000928,"\int \left(8-4 x-3 x^2-3 e x^2+2 x \log (4)\right) \, dx","Integrate[8 - 4*x - 3*x^2 - 3*E*x^2 + 2*x*Log[4],x]","-e x^3-x^3-2 x^2+x^2 \log (4)+8 x","x^2 \left(-x+\frac{8}{x}+x \left(\frac{\log (4)-2}{x}-e\right)\right)",1,"8*x - 2*x^2 - x^3 - E*x^3 + x^2*Log[4]","A",1
9221,1,25,30,0.187043,"\int \frac{e^{e^{-\frac{e^{x/9}}{-18+\log ^2(5)}}+x} \left(162+e^{\frac{x}{9}-\frac{e^{x/9}}{-18+\log ^2(5)}}-9 \log ^2(5)\right)}{-162+9 \log ^2(5)} \, dx","Integrate[(E^(E^(-(E^(x/9)/(-18 + Log[5]^2))) + x)*(162 + E^(x/9 - E^(x/9)/(-18 + Log[5]^2)) - 9*Log[5]^2))/(-162 + 9*Log[5]^2),x]","-e^{x+e^{-\frac{e^{x/9}}{\log ^2(5)-18}}}","-e^{x+e^{\frac{e^{x/9}}{18-\log ^2(5)}}}+2+\log (2)",1,"-E^(E^(-(E^(x/9)/(-18 + Log[5]^2))) + x)","A",1
9222,1,40,31,0.2675386,"\int \frac{48 (i \pi +\log (3))+48 (i \pi +\log (3)) \log (5 x)-15 x^2 (i \pi +\log (3))^2 \log ^2(5 x)}{512+320 x^2 (i \pi +\log (3)) \log (5 x)+50 x^4 (i \pi +\log (3))^2 \log ^2(5 x)} \, dx","Integrate[(48*(I*Pi + Log[3]) + 48*(I*Pi + Log[3])*Log[5*x] - 15*x^2*(I*Pi + Log[3])^2*Log[5*x]^2)/(512 + 320*x^2*(I*Pi + Log[3])*Log[5*x] + 50*x^4*(I*Pi + Log[3])^2*Log[5*x]^2),x]","\frac{3 x (\pi -i \log (3)) \log (5 x)}{2 \left(5 x^2 (\pi -i \log (3)) \log (5 x)-16 i\right)}","\frac{3}{2 \left(5 x+\frac{16}{x (\log (3)+i \pi ) \log (5 x)}\right)}",1,"(3*x*(Pi - I*Log[3])*Log[5*x])/(2*(-16*I + 5*x^2*(Pi - I*Log[3])*Log[5*x]))","A",1
9223,1,11,20,0.0016334,"\int \frac{2-4 x}{x^3} \, dx","Integrate[(2 - 4*x)/x^3,x]","\frac{4}{x}-\frac{1}{x^2}","\frac{4-\frac{1}{x}}{x}+3 e^{e^e}+2",1,"-x^(-2) + 4/x","A",1
9224,1,14,14,0.003617,"\int \frac{-10+2 e^4+2 x^4}{x^3} \, dx","Integrate[(-10 + 2*E^4 + 2*x^4)/x^3,x]","\frac{x^4-e^4+5}{x^2}","\frac{x^4-e^4+5}{x^2}",1,"(5 - E^4 + x^4)/x^2","A",1
9225,1,15,16,0.0021847,"\int \frac{45+x^2+45 \log \left(-\frac{1}{3 x}\right)}{x^2} \, dx","Integrate[(45 + x^2 + 45*Log[-1/3*1/x])/x^2,x]","x-\frac{45 \log \left(-\frac{1}{3 x}\right)}{x}","x-\frac{45 \log \left(-\frac{1}{3 x}\right)}{x}+4",1,"x - (45*Log[-1/3*1/x])/x","A",1
9226,1,26,28,0.0705863,"\int \frac{40+15 x+e^{4 e^e} \left(20 x+5 x^2\right)}{e^{8 e^e} \left(4 x^3+x^4\right)+e^{4 e^e} \left(-8 x^2-2 x^3\right) \log \left(-\frac{2}{4 x^2+x^3}\right)+\left(4 x+x^2\right) \log ^2\left(-\frac{2}{4 x^2+x^3}\right)} \, dx","Integrate[(40 + 15*x + E^(4*E^E)*(20*x + 5*x^2))/(E^(8*E^E)*(4*x^3 + x^4) + E^(4*E^E)*(-8*x^2 - 2*x^3)*Log[-2/(4*x^2 + x^3)] + (4*x + x^2)*Log[-2/(4*x^2 + x^3)]^2),x]","\frac{5}{\log \left(-\frac{2}{x^2 (x+4)}\right)-e^{4 e^e} x}","\frac{5}{\log \left(\frac{2}{(-x-4) x^2}\right)-e^{4 e^e} x}",1,"5/(-(E^(4*E^E)*x) + Log[-2/(x^2*(4 + x))])","A",1
9227,1,20,21,0.4826422,"\int \frac{1}{5} e^{4+x^{e^{\frac{1}{5} \left(230+e^5-x\right)}}} x^{-1+e^{\frac{1}{5} \left(230+e^5-x\right)}} \left(5 e^{\frac{1}{5} \left(230+e^5-x\right)}-e^{\frac{1}{5} \left(230+e^5-x\right)} x \log (x)\right) \, dx","Integrate[(E^(4 + x^E^((230 + E^5 - x)/5))*x^(-1 + E^((230 + E^5 - x)/5))*(5*E^((230 + E^5 - x)/5) - E^((230 + E^5 - x)/5)*x*Log[x]))/5,x]","e^{x^{e^{\frac{1}{5} \left(-x+e^5+230\right)}}+4}","e^{x^{e^{\frac{1}{5} \left(e^5-x\right)+46}}+4}",1,"E^(4 + x^E^((230 + E^5 - x)/5))","A",1
9228,1,60,35,0.3894233,"\int \frac{1}{8} \exp \left(-2 e^5+\exp \left(\frac{1}{16} e^{-2 e^5} \left(16 e^{2+2 e^5}-4 x^4+4 x^5-x^6+\left(-4 x^3+2 x^4\right) \log (5)-x^2 \log ^2(5)\right)\right)+\frac{1}{16} e^{-2 e^5} \left(16 e^{2+2 e^5}-4 x^4+4 x^5-x^6+\left(-4 x^3+2 x^4\right) \log (5)-x^2 \log ^2(5)\right)\right) \left(-8 x^3+10 x^4-3 x^5+\left(-6 x^2+4 x^3\right) \log (5)-x \log ^2(5)\right) \, dx","Integrate[(E^(-2*E^5 + E^((16*E^(2 + 2*E^5) - 4*x^4 + 4*x^5 - x^6 + (-4*x^3 + 2*x^4)*Log[5] - x^2*Log[5]^2)/(16*E^(2*E^5))) + (16*E^(2 + 2*E^5) - 4*x^4 + 4*x^5 - x^6 + (-4*x^3 + 2*x^4)*Log[5] - x^2*Log[5]^2)/(16*E^(2*E^5)))*(-8*x^3 + 10*x^4 - 3*x^5 + (-6*x^2 + 4*x^3)*Log[5] - x*Log[5]^2))/8,x]","\exp \left(5^{\frac{1}{8} e^{-2 e^5} (x-2) x^3} \exp \left(e^2-\frac{1}{16} e^{-2 e^5} x^2 \left(x^4-4 x^3+4 x^2+\log ^2(5)\right)\right)\right)","\exp \left(\exp \left(e^2-\frac{1}{16} e^{-2 e^5} x^2 \left(-x^2+2 x+\log (5)\right)^2\right)\right)",1,"E^(5^(((-2 + x)*x^3)/(8*E^(2*E^5)))*E^(E^2 - (x^2*(4*x^2 - 4*x^3 + x^4 + Log[5]^2))/(16*E^(2*E^5))))","A",1
9229,1,61,21,0.0581707,"\int \frac{784 e^x x+560 e^x x \log (\log (12))+156 e^x x \log ^2(\log (12))+20 e^x x \log ^3(\log (12))+e^x x \log ^4(\log (12))+\log \left(4+2 e^x\right) \left(1568+784 e^x+\left(1120+560 e^x\right) \log (\log (12))+\left(312+156 e^x\right) \log ^2(\log (12))+\left(40+20 e^x\right) \log ^3(\log (12))+\left(2+e^x\right) \log ^4(\log (12))\right)}{2+e^x} \, dx","Integrate[(784*E^x*x + 560*E^x*x*Log[Log[12]] + 156*E^x*x*Log[Log[12]]^2 + 20*E^x*x*Log[Log[12]]^3 + E^x*x*Log[Log[12]]^4 + Log[4 + 2*E^x]*(1568 + 784*E^x + (1120 + 560*E^x)*Log[Log[12]] + (312 + 156*E^x)*Log[Log[12]]^2 + (40 + 20*E^x)*Log[Log[12]]^3 + (2 + E^x)*Log[Log[12]]^4))/(2 + E^x),x]","\left(28+\log ^2(\log (12))+10 \log (\log (12))\right)^2 \left(-\text{Li}_2\left(-2 e^{-x}\right)-\text{Li}_2\left(-\frac{e^x}{2}\right)+\frac{x^2}{2}+x \log \left(2 e^{-x}+1\right)+x \log (4)\right)","x \left(3+(5+\log (\log (12)))^2\right)^2 \log \left(2 \left(e^x+2\right)\right)",1,"(28 + 10*Log[Log[12]] + Log[Log[12]]^2)^2*(x^2/2 + x*Log[4] + x*Log[1 + 2/E^x] - PolyLog[2, -2/E^x] - PolyLog[2, -1/2*E^x])","C",1
9230,1,7,16,0.0000644,"\int x^3 \, dx","Integrate[x^3,x]","\frac{x^4}{4}","\frac{1}{4} \left(x^4-729 e^2+2\right)+2",1,"x^4/4","A",1
9231,1,19,22,0.1085598,"\int \frac{\left(-4-2 x+e^{4 e^{2 x}} x\right)^{\frac{1}{x}} \left(-2 x+e^{4 e^{2 x}} \left(x+8 e^{2 x} x^2\right)+\left(4+2 x-e^{4 e^{2 x}} x\right) \log \left(-4-2 x+e^{4 e^{2 x}} x\right)\right)}{-4 x^2-2 x^3+e^{4 e^{2 x}} x^3} \, dx","Integrate[((-4 - 2*x + E^(4*E^(2*x))*x)^x^(-1)*(-2*x + E^(4*E^(2*x))*(x + 8*E^(2*x)*x^2) + (4 + 2*x - E^(4*E^(2*x))*x)*Log[-4 - 2*x + E^(4*E^(2*x))*x]))/(-4*x^2 - 2*x^3 + E^(4*E^(2*x))*x^3),x]","\left(\left(e^{4 e^{2 x}}-2\right) x-4\right)^{\frac{1}{x}}","\left(\left(e^{4 e^{2 x}}-\frac{4}{x}-2\right) x\right)^{\frac{1}{x}}",1,"(-4 + (-2 + E^(4*E^(2*x)))*x)^x^(-1)","A",1
9232,1,38,33,0.3551832,"\int \frac{\left(16+8 x+x^2+e^x \left(-32-16 x-2 x^2\right)+e^{2 x} \left(16+8 x+x^2\right)\right) \log ^2(x)+\exp \left(\frac{-4 x-8 \log (x)}{\left(-4-x+e^x (4+x)\right) \log (x)}\right) \left(-16-4 x+e^x (16+4 x)+\left(16+e^x \left(-16+16 x+4 x^2\right)\right) \log (x)+\left(-8+e^x (40+8 x)\right) \log ^2(x)\right)}{\left(16+8 x+x^2+e^x \left(-32-16 x-2 x^2\right)+e^{2 x} \left(16+8 x+x^2\right)\right) \log ^2(x)} \, dx","Integrate[((16 + 8*x + x^2 + E^x*(-32 - 16*x - 2*x^2) + E^(2*x)*(16 + 8*x + x^2))*Log[x]^2 + E^((-4*x - 8*Log[x])/((-4 - x + E^x*(4 + x))*Log[x]))*(-16 - 4*x + E^x*(16 + 4*x) + (16 + E^x*(-16 + 16*x + 4*x^2))*Log[x] + (-8 + E^x*(40 + 8*x))*Log[x]^2))/((16 + 8*x + x^2 + E^x*(-32 - 16*x - 2*x^2) + E^(2*x)*(16 + 8*x + x^2))*Log[x]^2),x]","\exp \left(-\frac{8}{\left(e^x-1\right) (x+4)}-\frac{4 x}{\left(e^x-1\right) (x+4) \log (x)}\right)+x","x+e^{\frac{2 x \left(\frac{4}{x}+\frac{2}{\log (x)}\right)}{\left(1-e^x\right) (x+4)}}",1,"E^(-8/((-1 + E^x)*(4 + x)) - (4*x)/((-1 + E^x)*(4 + x)*Log[x])) + x","A",1
9233,1,23,23,0.0108902,"\int \frac{640+45 x^2-144 e^{x^2} x^4}{90 x^3} \, dx","Integrate[(640 + 45*x^2 - 144*E^x^2*x^4)/(90*x^3),x]","-\frac{4 e^{x^2}}{5}-\frac{32}{9 x^2}+\frac{\log (x)}{2}","\frac{1}{2} \left(-\frac{8 e^{x^2}}{5}-\frac{64}{9 x^2}+\log (x)\right)",1,"(-4*E^x^2)/5 - 32/(9*x^2) + Log[x]/2","A",1
9234,1,36,34,1.635583,"\int \frac{80+460 x+540 x^2+120 x^3+e^x \left(-270-630 x-270 x^2-30 x^3\right)-40 \log (2)}{-512 x^3-4416 x^4-16152 x^5-32615 x^6-39654 x^7-29709 x^8-13500 x^9-3537 x^{10}-486 x^{11}-27 x^{12}+e^{3 x} \left(19683 x^3+39366 x^4+32805 x^5+14580 x^6+3645 x^7+486 x^8+27 x^9\right)+\left(768 x^3+4416 x^4+9804 x^5+10512 x^6+5544 x^7+1296 x^8+108 x^9\right) \log (2)+\left(-384 x^3-1104 x^4-864 x^5-144 x^6\right) \log ^2(2)+64 x^3 \log ^3(2)+e^{2 x} \left(-17496 x^3-73629 x^4-118098 x^5-95175 x^6-42660 x^7-10827 x^8-1458 x^9-81 x^{10}+\left(8748 x^3+11664 x^4+5832 x^5+1296 x^6+108 x^7\right) \log (2)\right)+e^x \left(5184 x^3+33264 x^4+86625 x^5+118386 x^6+92079 x^7+41580 x^8+10719 x^9+1458 x^{10}+81 x^{11}+\left(-5184 x^3-18360 x^4-22176 x^5-11376 x^6-2592 x^7-216 x^8\right) \log (2)+\left(1296 x^3+864 x^4+144 x^5\right) \log ^2(2)\right)} \, dx","Integrate[(80 + 460*x + 540*x^2 + 120*x^3 + E^x*(-270 - 630*x - 270*x^2 - 30*x^3) - 40*Log[2])/(-512*x^3 - 4416*x^4 - 16152*x^5 - 32615*x^6 - 39654*x^7 - 29709*x^8 - 13500*x^9 - 3537*x^10 - 486*x^11 - 27*x^12 + E^(3*x)*(19683*x^3 + 39366*x^4 + 32805*x^5 + 14580*x^6 + 3645*x^7 + 486*x^8 + 27*x^9) + (768*x^3 + 4416*x^4 + 9804*x^5 + 10512*x^6 + 5544*x^7 + 1296*x^8 + 108*x^9)*Log[2] + (-384*x^3 - 1104*x^4 - 864*x^5 - 144*x^6)*Log[2]^2 + 64*x^3*Log[2]^3 + E^(2*x)*(-17496*x^3 - 73629*x^4 - 118098*x^5 - 95175*x^6 - 42660*x^7 - 10827*x^8 - 1458*x^9 - 81*x^10 + (8748*x^3 + 11664*x^4 + 5832*x^5 + 1296*x^6 + 108*x^7)*Log[2]) + E^x*(5184*x^3 + 33264*x^4 + 86625*x^5 + 118386*x^6 + 92079*x^7 + 41580*x^8 + 10719*x^9 + 1458*x^10 + 81*x^11 + (-5184*x^3 - 18360*x^4 - 22176*x^5 - 11376*x^6 - 2592*x^7 - 216*x^8)*Log[2] + (1296*x^3 + 864*x^4 + 144*x^5)*Log[2]^2)),x]","\frac{5}{x^2 \left(3 x^3+18 x^2+23 x-3 e^x (x+3)^2+8-\log (16)\right)^2}","\frac{5}{16 x^2 \left(\frac{3}{4} \left(x-e^x\right) (x+3)^2-x+2-\log (2)\right)^2}",1,"5/(x^2*(8 + 23*x + 18*x^2 + 3*x^3 - 3*E^x*(3 + x)^2 - Log[16])^2)","A",1
9235,1,20,22,0.0647861,"\int \frac{1600+4 e^4-2240 x+480 x^2-112 x^3+20 x^4}{7840000-2240000 x+1728000 x^2-448000 x^3+149600 x^4-33600 x^5+6320 x^6-1120 x^7+129 x^8-14 x^9+x^{10}+e^8 \left(49-14 x+x^2\right)+e^4 \left(39200-11200 x+4720 x^2-1120 x^3+178 x^4-28 x^5+2 x^6\right)} \, dx","Integrate[(1600 + 4*E^4 - 2240*x + 480*x^2 - 112*x^3 + 20*x^4)/(7840000 - 2240000*x + 1728000*x^2 - 448000*x^3 + 149600*x^4 - 33600*x^5 + 6320*x^6 - 1120*x^7 + 129*x^8 - 14*x^9 + x^10 + E^8*(49 - 14*x + x^2) + E^4*(39200 - 11200*x + 4720*x^2 - 1120*x^3 + 178*x^4 - 28*x^5 + 2*x^6)),x]","-\frac{4}{(x-7) \left(\left(x^2+20\right)^2+e^4\right)}","2-\frac{4}{(x-7) \left(\left(x^2+20\right)^2+e^4\right)}",1,"-4/((-7 + x)*(E^4 + (20 + x^2)^2))","A",1
9236,1,29,28,0.7057883,"\int \frac{\exp \left(3+2 x+\frac{e^{3+2 x} \left(3-4 x+x^2\right)}{x \log (2)}\right) \left(-3+6 x-7 x^2+2 x^3\right)+5 x^2 \log (2)}{x^2 \log (2)} \, dx","Integrate[(E^(3 + 2*x + (E^(3 + 2*x)*(3 - 4*x + x^2))/(x*Log[2]))*(-3 + 6*x - 7*x^2 + 2*x^3) + 5*x^2*Log[2])/(x^2*Log[2]),x]","e^{\frac{e^{2 x+3} \left(x^2-4 x+3\right)}{x \log (2)}}+5 x","5 x+e^{\frac{e^{2 x+3} ((x-4) x+3)}{x \log (2)}}",1,"E^((E^(3 + 2*x)*(3 - 4*x + x^2))/(x*Log[2])) + 5*x","A",1
9237,1,23,24,0.0912168,"\int \frac{e^3 \left(-3 x^2-2 x^3\right)+e^3 (12+8 x) \log ^4(2)+\left(-6 x+e^3 \left(-6 x^2-2 x^3\right)\right) \log \left(3+e^3 \left(3 x+x^2\right)\right)}{3+e^3 \left(3 x+x^2\right)} \, dx","Integrate[(E^3*(-3*x^2 - 2*x^3) + E^3*(12 + 8*x)*Log[2]^4 + (-6*x + E^3*(-6*x^2 - 2*x^3))*Log[3 + E^3*(3*x + x^2)])/(3 + E^3*(3*x + x^2)),x]","-\left(\left(x^2-4 \log ^4(2)\right) \log \left(e^3 x (x+3)+3\right)\right)","\left(4 \log ^4(2)-x^2\right) \log \left(e^3 x (x+3)+3\right)",1,"-((x^2 - 4*Log[2]^4)*Log[3 + E^3*x*(3 + x)])","A",1
9238,1,22,23,0.130386,"\int \frac{1}{81} \left(162+e^{-1+4 e^{\frac{256 x^4}{81}}+5 x} \left(405+4096 e^{\frac{256 x^4}{81}} x^3\right)\right) \, dx","Integrate[(162 + E^(-1 + 4*E^((256*x^4)/81) + 5*x)*(405 + 4096*E^((256*x^4)/81)*x^3))/81,x]","e^{4 e^{\frac{256 x^4}{81}}+5 x-1}+2 x","e^{4 e^{\frac{256 x^4}{81}}+5 x-1}+2 x+2",1,"E^(-1 + 4*E^((256*x^4)/81) + 5*x) + 2*x","A",1
9239,1,17,19,0.0086189,"\int \frac{142+2 x-216 x^2+45 x^4}{142 x+x^2-72 x^3+9 x^5} \, dx","Integrate[(142 + 2*x - 216*x^2 + 45*x^4)/(142*x + x^2 - 72*x^3 + 9*x^5),x]","\log \left(9 x^4-72 x^2+x+142\right)+\log (x)","\log \left(x \left(-9 \left(4-x^2\right)^2-x+2\right)\right)",1,"Log[x] + Log[142 + x - 72*x^2 + 9*x^4]","A",1
9240,1,28,28,0.0200558,"\int \frac{1}{18} \left(e^{\frac{5+27 x}{9 x}} (5-18 x) \log (5)-54 x \log (5)\right) \, dx","Integrate[(E^((5 + 27*x)/(9*x))*(5 - 18*x)*Log[5] - 54*x*Log[5])/18,x]","-\frac{1}{18} \left(9 e^{\frac{5}{9 x}+3} x^2+27 x^2\right) \log (5)","\left(e^{\frac{5}{9 x}+3}+3\right) x \left(2 x-\frac{1}{2} x (4+\log (5))\right)",1,"-1/18*((27*x^2 + 9*E^(3 + 5/(9*x))*x^2)*Log[5])","A",1
9241,1,27,22,0.0170263,"\int \frac{-2-4 x^2+e^3 \left(-2+4 x-4 x^2+12 x^3\right)}{e^3 \left(3 x^3+6 x^5+3 x^7\right)} \, dx","Integrate[(-2 - 4*x^2 + E^3*(-2 + 4*x - 4*x^2 + 12*x^3))/(E^3*(3*x^3 + 6*x^5 + 3*x^7)),x]","\frac{-4 e^3 x+e^3+1}{3 e^3 \left(x^4+x^2\right)}","\frac{\frac{1+\frac{1}{e^3}}{x}-4}{3 \left(x^3+x\right)}",1,"(1 + E^3 - 4*E^3*x)/(3*E^3*(x^2 + x^4))","A",1
9242,1,28,28,0.0522636,"\int \frac{2 e^{-1+2 e^{-1+x}+x} x+\left(-1-9 x-2 x^2\right) \log (\log (4))}{x \log (\log (4))} \, dx","Integrate[(2*E^(-1 + 2*E^(-1 + x) + x)*x + (-1 - 9*x - 2*x^2)*Log[Log[4]])/(x*Log[Log[4]]),x]","-x^2-9 x-\log (x)+\frac{e^{2 e^{x-1}}}{\log (\log (4))}","-(x+5)^2+x-\log (x)+\frac{e^{2 e^{x-1}}}{\log (\log (4))}",1,"-9*x - x^2 - Log[x] + E^(2*E^(-1 + x))/Log[Log[4]]","A",1
9243,1,33,25,0.3161638,"\int \frac{4+x+e^{\frac{128+e^6 (64-8 x)+8 e^6 \log (4+x)}{e^6}} (24+8 x)}{4+x} \, dx","Integrate[(4 + x + E^((128 + E^6*(64 - 8*x) + 8*E^6*Log[4 + x])/E^6)*(24 + 8*x))/(4 + x),x]","-e^{-8 x} (x+4) \left(e^{64+\frac{128}{e^6}} (x+4)^7-e^{8 x}\right)","x-e^{4 \left(2 \left(-x+\log (x+4)+\frac{16}{e^6}\right)+16\right)}",1,"-(((4 + x)*(-E^(8*x) + E^(64 + 128/E^6)*(4 + x)^7))/E^(8*x))","A",1
9244,1,22,24,0.1610153,"\int \frac{50+e^2 (-2-3 x)+e^{e^5} (-2-3 x)+72 x-4 x^2}{625 x^3+1200 x^4+526 x^5-48 x^6+x^7+e^4 \left(x^3+2 x^4+x^5\right)+e^{2 e^5} \left(x^3+2 x^4+x^5\right)+e^2 \left(-50 x^3-98 x^4-46 x^5+2 x^6\right)+e^{e^5} \left(-50 x^3-98 x^4-46 x^5+2 x^6+e^2 \left(2 x^3+4 x^4+2 x^5\right)\right)} \, dx","Integrate[(50 + E^2*(-2 - 3*x) + E^E^5*(-2 - 3*x) + 72*x - 4*x^2)/(625*x^3 + 1200*x^4 + 526*x^5 - 48*x^6 + x^7 + E^4*(x^3 + 2*x^4 + x^5) + E^(2*E^5)*(x^3 + 2*x^4 + x^5) + E^2*(-50*x^3 - 98*x^4 - 46*x^5 + 2*x^6) + E^E^5*(-50*x^3 - 98*x^4 - 46*x^5 + 2*x^6 + E^2*(2*x^3 + 4*x^4 + 2*x^5))),x]","\frac{1}{x^2 (x+1) \left(x+e^{e^5}+e^2-25\right)}","\frac{1}{x \left(x+e^{e^5}+e^2-25\right) \left(x^2+x\right)}",1,"1/(x^2*(1 + x)*(-25 + E^2 + E^E^5 + x))","A",1
9245,1,19,19,0.1274633,"\int \frac{\exp \left(-\frac{\left(-4-x^2\right) \log ^2(3)+400 \log ^4(x)}{\log ^2(3)}\right) \left(8 x^2 \log ^2(3)-6400 \log ^3(x)\right)}{x \log ^2(3)} \, dx","Integrate[(8*x^2*Log[3]^2 - 6400*Log[x]^3)/(E^(((-4 - x^2)*Log[3]^2 + 400*Log[x]^4)/Log[3]^2)*x*Log[3]^2),x]","4 e^{x^2-\frac{400 \log ^4(x)}{\log ^2(3)}+4}","4 e^{x^2-\frac{400 \log ^4(x)}{\log ^2(3)}+4}",1,"4*E^(4 + x^2 - (400*Log[x]^4)/Log[3]^2)","A",1
9246,1,23,19,0.0051103,"\int \frac{-15 e^5-20 x}{5 e^5 x+4 x^2} \, dx","Integrate[(-15*E^5 - 20*x)/(5*E^5*x + 4*x^2),x]","-5 \left(\frac{3 \log (x)}{5}+\frac{2}{5} \log \left(4 x+5 e^5\right)\right)","\log \left(\frac{108}{x^3 \left(5 \left(x+e^5\right)-x\right)^2}\right)",1,"-5*((3*Log[x])/5 + (2*Log[5*E^5 + 4*x])/5)","A",1
9247,1,9,9,0.0000813,"\int \frac{20 x}{\log (4)} \, dx","Integrate[(20*x)/Log[4],x]","\frac{10 x^2}{\log (4)}","\frac{10 x^2}{\log (4)}",1,"(10*x^2)/Log[4]","A",1
9248,1,17,22,0.0326135,"\int \frac{-36 x^2-2 x^5+\left(-36 x+10 x^4\right) \log (5)-20 x^3 \log ^2(5)+20 x^2 \log ^3(5)-10 x \log ^4(5)+2 \log ^5(5)}{-x^5+5 x^4 \log (5)-10 x^3 \log ^2(5)+10 x^2 \log ^3(5)-5 x \log ^4(5)+\log ^5(5)} \, dx","Integrate[(-36*x^2 - 2*x^5 + (-36*x + 10*x^4)*Log[5] - 20*x^3*Log[5]^2 + 20*x^2*Log[5]^3 - 10*x*Log[5]^4 + 2*Log[5]^5)/(-x^5 + 5*x^4*Log[5] - 10*x^3*Log[5]^2 + 10*x^2*Log[5]^3 - 5*x*Log[5]^4 + Log[5]^5),x]","2 \left(x-\frac{9 x^2}{(x-\log (5))^4}\right)","2 \left(-3 \left(\frac{3 x^2}{(x-\log (5))^4}+3\right)+x+8\right)",1,"2*(x - (9*x^2)/(x - Log[5])^4)","A",1
9249,1,25,27,0.1977158,"\int \frac{-54 x-108 x^2-60 x^3-21 x^4-3 x^5+e^3 \left(-3 x^3+x^4\right)+\left(3 x^3-x^4\right) \log (x)+\left(216 x+306 x^2+123 x^3+23 x^4+2 x^5+e^3 \left(-54 x-63 x^2-15 x^3-2 x^4\right)+\left(54 x+63 x^2+15 x^3+2 x^4\right) \log (x)\right) \log \left(4-e^3+x+\log (x)\right)+\left(36 x-3 x^2-3 x^3+e^3 \left(-9 x+3 x^2\right)+\left(9 x-3 x^2\right) \log (x)\right) \log ^2\left(4-e^3+x+\log (x)\right)+\left(12+e^3 (-3+x)-x-x^2+(3-x) \log (x)\right) \log ^3\left(4-e^3+x+\log (x)\right)}{108 x^3+135 x^4+63 x^5+13 x^6+x^7+e^3 \left(-27 x^3-27 x^4-9 x^5-x^6\right)+\left(27 x^3+27 x^4+9 x^5+x^6\right) \log (x)+\left(324 x^2+405 x^3+189 x^4+39 x^5+3 x^6+e^3 \left(-81 x^2-81 x^3-27 x^4-3 x^5\right)+\left(81 x^2+81 x^3+27 x^4+3 x^5\right) \log (x)\right) \log \left(4-e^3+x+\log (x)\right)+\left(324 x+405 x^2+189 x^3+39 x^4+3 x^5+e^3 \left(-81 x-81 x^2-27 x^3-3 x^4\right)+\left(81 x+81 x^2+27 x^3+3 x^4\right) \log (x)\right) \log ^2\left(4-e^3+x+\log (x)\right)+\left(108+135 x+63 x^2+13 x^3+x^4+e^3 \left(-27-27 x-9 x^2-x^3\right)+\left(27+27 x+9 x^2+x^3\right) \log (x)\right) \log ^3\left(4-e^3+x+\log (x)\right)} \, dx","Integrate[(-54*x - 108*x^2 - 60*x^3 - 21*x^4 - 3*x^5 + E^3*(-3*x^3 + x^4) + (3*x^3 - x^4)*Log[x] + (216*x + 306*x^2 + 123*x^3 + 23*x^4 + 2*x^5 + E^3*(-54*x - 63*x^2 - 15*x^3 - 2*x^4) + (54*x + 63*x^2 + 15*x^3 + 2*x^4)*Log[x])*Log[4 - E^3 + x + Log[x]] + (36*x - 3*x^2 - 3*x^3 + E^3*(-9*x + 3*x^2) + (9*x - 3*x^2)*Log[x])*Log[4 - E^3 + x + Log[x]]^2 + (12 + E^3*(-3 + x) - x - x^2 + (3 - x)*Log[x])*Log[4 - E^3 + x + Log[x]]^3)/(108*x^3 + 135*x^4 + 63*x^5 + 13*x^6 + x^7 + E^3*(-27*x^3 - 27*x^4 - 9*x^5 - x^6) + (27*x^3 + 27*x^4 + 9*x^5 + x^6)*Log[x] + (324*x^2 + 405*x^3 + 189*x^4 + 39*x^5 + 3*x^6 + E^3*(-81*x^2 - 81*x^3 - 27*x^4 - 3*x^5) + (81*x^2 + 81*x^3 + 27*x^4 + 3*x^5)*Log[x])*Log[4 - E^3 + x + Log[x]] + (324*x + 405*x^2 + 189*x^3 + 39*x^4 + 3*x^5 + E^3*(-81*x - 81*x^2 - 27*x^3 - 3*x^4) + (81*x + 81*x^2 + 27*x^3 + 3*x^4)*Log[x])*Log[4 - E^3 + x + Log[x]]^2 + (108 + 135*x + 63*x^2 + 13*x^3 + x^4 + E^3*(-27 - 27*x - 9*x^2 - x^3) + (27 + 27*x + 9*x^2 + x^3)*Log[x])*Log[4 - E^3 + x + Log[x]]^3),x]","x \left(\frac{1}{(x+3)^2}+\frac{x}{\left(x+\log \left(x+\log (x)-e^3+4\right)\right)^2}\right)","\frac{x^2}{\left(x+\log \left(x+\log (x)-e^3+4\right)\right)^2}+\frac{x}{(x+3)^2}",1,"x*((3 + x)^(-2) + x/(x + Log[4 - E^3 + x + Log[x]])^2)","A",1
9250,1,70,14,0.0354666,"\int \left(1+4 e^{4 x}-1000 x+600 x^3-120 x^5+8 x^7+e^{3 x} \left(60-8 x-12 x^2\right)+e^{2 x} \left(300-120 x-120 x^2+24 x^3+12 x^4\right)+e^x \left(500-600 x-300 x^2+240 x^3+60 x^4-24 x^5-4 x^6\right)\right) \, dx","Integrate[1 + 4*E^(4*x) - 1000*x + 600*x^3 - 120*x^5 + 8*x^7 + E^(3*x)*(60 - 8*x - 12*x^2) + E^(2*x)*(300 - 120*x - 120*x^2 + 24*x^3 + 12*x^4) + E^x*(500 - 600*x - 300*x^2 + 240*x^3 + 60*x^4 - 24*x^5 - 4*x^6),x]","x^8-20 x^6+150 x^4-500 x^2-4 e^x \left(x^2-5\right)^3-\frac{4}{3} e^{3 x} \left(3 x^2-15\right)+6 e^{2 x} \left(x^4-10 x^2+25\right)+x+e^{4 x}","\left(-x^2+e^x+5\right)^4+x",1,"E^(4*x) + x - 500*x^2 + 150*x^4 - 20*x^6 + x^8 - 4*E^x*(-5 + x^2)^3 - (4*E^(3*x)*(-15 + 3*x^2))/3 + 6*E^(2*x)*(25 - 10*x^2 + x^4)","B",1
9251,1,5,5,0.0001746,"\int -e^x \, dx","Integrate[-E^x,x]","-e^x","-e^x",1,"-E^x","A",1
9252,1,27,28,0.0000706,"\int \left(21+i \pi +18 x+\log \left(\frac{1}{4} \left(-5+e^2\right)\right)\right) \, dx","Integrate[21 + I*Pi + 18*x + Log[(-5 + E^2)/4],x]","9 x^2+i \pi  x+21 x+x \log \left(\frac{1}{4} \left(e^2-5\right)\right)","x \left(4 (x-1)+5 (x+5)+i \pi +\log \left(\frac{1}{4} \left(e^2-5\right)\right)\right)",1,"21*x + I*Pi*x + 9*x^2 + x*Log[(-5 + E^2)/4]","A",1
9253,1,69,30,0.5119591,"\int \frac{\exp \left(\frac{28561-3042 e x+81 e^2 x^2+e^{30/x} \left(2426112-11664 e x-8748 e^2 x^2\right)+e^{10/x} \left(316368+1404 e x-972 e^2 x^2\right)+e^{20/x} \left(1314144+50382 e x+4374 e^2 x^2\right)+e^{40/x} \left(1679616-209952 e x+6561 e^2 x^2\right)}{81-972 e^{10/x}+4374 e^{20/x}-8748 e^{30/x}+6561 e^{40/x}}\right) \left(1014 e x^2-54 e^2 x^3+e^{50/x} \left(-209952 e x^2+13122 e^2 x^3\right)+e^{20/x} \left(18252000-4860 e^2 x^3+e \left(378000 x-15390 x^2\right)\right)+e^{10/x} \left(2197000+810 e^2 x^3+e \left(-117000 x-3510 x^2\right)\right)+e^{30/x} \left(50544000+14580 e^2 x^3+e \left(891000 x+54270 x^2\right)\right)+e^{40/x} \left(46656000-21870 e^2 x^3+e \left(-2916000 x+58320 x^2\right)\right)\right)}{-27 x^2+405 e^{10/x} x^2-2430 e^{20/x} x^2+7290 e^{30/x} x^2-10935 e^{40/x} x^2+6561 e^{50/x} x^2} \, dx","Integrate[(E^((28561 - 3042*E*x + 81*E^2*x^2 + E^(30/x)*(2426112 - 11664*E*x - 8748*E^2*x^2) + E^(10/x)*(316368 + 1404*E*x - 972*E^2*x^2) + E^(20/x)*(1314144 + 50382*E*x + 4374*E^2*x^2) + E^(40/x)*(1679616 - 209952*E*x + 6561*E^2*x^2))/(81 - 972*E^(10/x) + 4374*E^(20/x) - 8748*E^(30/x) + 6561*E^(40/x)))*(1014*E*x^2 - 54*E^2*x^3 + E^(50/x)*(-209952*E*x^2 + 13122*E^2*x^3) + E^(20/x)*(18252000 - 4860*E^2*x^3 + E*(378000*x - 15390*x^2)) + E^(10/x)*(2197000 + 810*E^2*x^3 + E*(-117000*x - 3510*x^2)) + E^(30/x)*(50544000 + 14580*E^2*x^3 + E*(891000*x + 54270*x^2)) + E^(40/x)*(46656000 - 21870*E^2*x^3 + E*(-2916000*x + 58320*x^2))))/(-27*x^2 + 405*E^(10/x)*x^2 - 2430*E^(20/x)*x^2 + 7290*E^(30/x)*x^2 - 10935*E^(40/x)*x^2 + 6561*E^(50/x)*x^2),x]","\exp \left(\frac{\left(54 e^{\frac{10}{x}+1} x-81 e^{\frac{20}{x}+1} x-9 e x+936 e^{10/x}+1296 e^{20/x}+169\right)^2}{81 \left(1-3 e^{10/x}\right)^4}\right)","e^{\left(\left(4-\frac{25}{3 \left(1-3 e^{10/x}\right)}\right)^2-e x\right)^2}",1,"E^((169 + 936*E^(10/x) + 1296*E^(20/x) - 9*E*x + 54*E^(1 + 10/x)*x - 81*E^(1 + 20/x)*x)^2/(81*(1 - 3*E^(10/x))^4))","B",1
9254,1,25,27,0.3225785,"\int \frac{\exp \left(-3+\frac{8 e x^2+e^2 \left(4 x^2+e \left(-2 x+4 x^2\right)\right)-8 e^3 \log (\log (x))}{e^3 x}\right) \left(-8 e^3+\left(8 e x^2+e^2 \left(4 x^2+4 e x^2\right)\right) \log (x)+8 e^3 \log (x) \log (\log (x))\right)}{x^2 \log (x)} \, dx","Integrate[(E^(-3 + (8*E*x^2 + E^2*(4*x^2 + E*(-2*x + 4*x^2)) - 8*E^3*Log[Log[x]])/(E^3*x))*(-8*E^3 + (8*E*x^2 + E^2*(4*x^2 + 4*E*x^2))*Log[x] + 8*E^3*Log[x]*Log[Log[x]]))/(x^2*Log[x]),x]","e^{\frac{4 \left(2+e+e^2\right) x}{e^2}-2} \log ^{-\frac{8}{x}}(x)","e^{4 \left(\frac{x}{e}+\frac{2 x}{e^2}+x-\frac{2 \log (\log (x))}{x}\right)-2}",1,"E^(-2 + (4*(2 + E + E^2)*x)/E^2)/Log[x]^(8/x)","A",1
9255,1,19,23,0.064154,"\int -\frac{\exp \left(5-\frac{1}{125} e^{1+2 \log (5) \log (x)}+2 \log (5) \log (x)\right) \log (5)}{500 x} \, dx","Integrate[-1/500*(E^(5 - E^(1 + 2*Log[5]*Log[x])/125 + 2*Log[5]*Log[x])*Log[5])/x,x]","\frac{1}{8} e^{4-e 5^{2 \log (x)-3}}","\frac{1}{8} e^{4-e^{\log (5) (2 \log (x)-3)+1}}",1,"E^(4 - 5^(-3 + 2*Log[x])*E)/8","A",1
9256,1,25,28,0.8439526,"\int \frac{e^{2 e^{-x}-x} \left(2 e^x-2 x \log \left(\frac{60}{x+4 e^2 x}\right)\right)}{x \log ^3\left(\frac{60}{x+4 e^2 x}\right)} \, dx","Integrate[(E^(2/E^x - x)*(2*E^x - 2*x*Log[60/(x + 4*E^2*x)]))/(x*Log[60/(x + 4*E^2*x)]^3),x]","\frac{e^{2 e^{-x}}}{\log ^2\left(\frac{60}{4 e^2 x+x}\right)}","\frac{e^{2 e^{-x}}}{\log ^2\left(\frac{15}{e^2 x+\frac{x}{4}}\right)}",1,"E^(2/E^x)/Log[60/(x + 4*E^2*x)]^2","A",1
9257,1,12,12,0.0126424,"\int e^{3 x+3 x^2} \left(2 x+3 x^2+6 x^3\right) \, dx","Integrate[E^(3*x + 3*x^2)*(2*x + 3*x^2 + 6*x^3),x]","e^{3 x (x+1)} x^2","e^{3 x (x+1)} x^2",1,"E^(3*x*(1 + x))*x^2","A",1
9258,1,29,36,0.0407949,"\int \frac{-e^{12}+2 e^6 x^2-x^4+\left(e^{12}-2 e^6 x^2+x^4\right) \log (x)+\left(e^{12} (-1-2 x)+x^2-x^4-2 x^5+e^6 \left(1+2 x^2+4 x^3\right)\right) \log ^2(x)}{\left(e^{12}-2 e^6 x^2+x^4\right) \log ^2(x)} \, dx","Integrate[(-E^12 + 2*E^6*x^2 - x^4 + (E^12 - 2*E^6*x^2 + x^4)*Log[x] + (E^12*(-1 - 2*x) + x^2 - x^4 - 2*x^5 + E^6*(1 + 2*x^2 + 4*x^3))*Log[x]^2)/((E^12 - 2*E^6*x^2 + x^4)*Log[x]^2),x]","-x^2-\frac{x}{x^2-e^6}-x+\frac{x}{\log (x)}","\left(\frac{\frac{x}{e^6-x^2}-x+5}{x}-x\right) x+\frac{x}{\log (x)}-1",1,"-x - x^2 - x/(-E^6 + x^2) + x/Log[x]","A",1
9259,1,22,18,0.1970382,"\int \frac{-25 e^{-7+x} x+e^{-7+x} \left(50+75 x+25 x^2\right) \log (2+x)+(50+25 x) \log ^2(2+x)}{(2+x) \log ^2(2+x)} \, dx","Integrate[(-25*E^(-7 + x)*x + E^(-7 + x)*(50 + 75*x + 25*x^2)*Log[2 + x] + (50 + 25*x)*Log[2 + x]^2)/((2 + x)*Log[2 + x]^2),x]","\frac{25 \left(e^7 x+\frac{e^x x}{\log (x+2)}\right)}{e^7}","25 \left(x+\frac{e^{x-7} x}{\log (x+2)}+4\right)",1,"(25*(E^7*x + (E^x*x)/Log[2 + x]))/E^7","A",1
9260,1,24,26,5.0365672,"\int \frac{-5+\left(-10 x^2+10 x^3\right) \log \left(\frac{-1+x}{2 x}\right)+(-10+10 x) \log \left(\frac{-1+x}{2 x}\right) \log (x)}{\left(-x+x^2\right) \log \left(\frac{-1+x}{2 x}\right)} \, dx","Integrate[(-5 + (-10*x^2 + 10*x^3)*Log[(-1 + x)/(2*x)] + (-10 + 10*x)*Log[(-1 + x)/(2*x)]*Log[x])/((-x + x^2)*Log[(-1 + x)/(2*x)]),x]","5 \left(x^2+\log ^2(x)-\log \left(\log \left(\frac{x-1}{2 x}\right)\right)\right)","5 \left(x^2+\log ^2(x)-\log \left(5 \log \left(\frac{x-1}{2 x}\right)\right)\right)",1,"5*(x^2 + Log[x]^2 - Log[Log[(-1 + x)/(2*x)]])","A",1
9261,1,64,18,0.2249423,"\int \frac{\exp \left(\frac{x^2+2 e x^2+e^2 x^2+\left(-2 e x^2-2 e^2 x^2\right) \log (2)+e^2 x^2 \log ^2(2)}{1-2 e \log (2)+e^2 \log ^2(2)}\right) \left(2 x+4 e x+2 e^2 x+\left(-4 e x-4 e^2 x\right) \log (2)+2 e^2 x \log ^2(2)\right)}{1-2 e \log (2)+e^2 \log ^2(2)} \, dx","Integrate[(E^((x^2 + 2*E*x^2 + E^2*x^2 + (-2*E*x^2 - 2*E^2*x^2)*Log[2] + E^2*x^2*Log[2]^2)/(1 - 2*E*Log[2] + E^2*Log[2]^2))*(2*x + 4*E*x + 2*E^2*x + (-4*E*x - 4*E^2*x)*Log[2] + 2*E^2*x*Log[2]^2))/(1 - 2*E*Log[2] + E^2*Log[2]^2),x]","2^{\frac{1}{(e \log (2)-1)^2}-1} \exp \left(\frac{x^2 \left(1+e^2 \left(1+\log ^2(2)-\log (4)\right)-e (\log (4)-2)\right)+e \log ^2(2) (e \log (2)-2)}{(e \log (2)-1)^2}\right)","e^{\left(x+\frac{x}{\frac{1}{e}-\log (2)}\right)^2}",1,"2^(-1 + (-1 + E*Log[2])^(-2))*E^((E*Log[2]^2*(-2 + E*Log[2]) + x^2*(1 + E^2*(1 + Log[2]^2 - Log[4]) - E*(-2 + Log[4])))/(-1 + E*Log[2])^2)","B",0
9262,1,30,25,1.0611656,"\int \frac{240+e^{2-x} (60+60 x)+e^x \left(240-30 x+e^{2-x} (60+60 x)\right)+\left(15+15 e^x\right) \log \left(1+2 e^x+e^{2 x}\right)}{x^2+e^x x^2} \, dx","Integrate[(240 + E^(2 - x)*(60 + 60*x) + E^x*(240 - 30*x + E^(2 - x)*(60 + 60*x)) + (15 + 15*E^x)*Log[1 + 2*E^x + E^(2*x)])/(x^2 + E^x*x^2),x]","\frac{15 \left(2 \left(x-2 e^{2-x}-8\right)-\log \left(\left(e^x+1\right)^2\right)\right)}{x}","-\frac{15 \left(4 \left(e^{2-x}+4\right)+\log \left(\left(e^x+1\right)^2\right)\right)}{x}",1,"(15*(2*(-8 - 2*E^(2 - x) + x) - Log[(1 + E^x)^2]))/x","A",1
9263,1,11,30,0.000614,"\int \frac{1}{3} (1-6 x) \, dx","Integrate[(1 - 6*x)/3,x]","\frac{x}{3}-x^2","-x^2+\frac{1}{3} \left(x-\log \left(\frac{e^2}{\log (2)}\right)+\log \left(5+e^2\right)\right)+5",1,"x/3 - x^2","A",1
9264,1,42,28,0.0720841,"\int \frac{e^{-2 x} \left(e^{2 x} \left(-2000-400 x-3000 x^3+449700 x^4+135000 x^5+13500 x^6+450 x^7\right)+e^x \left(30000 x+39000 x^2-443400 x^3+315300 x^4+121500 x^5+13050 x^6+450 x^7\right) \log (4)+\left(-450000 x^3-135000 x^4-13500 x^5-450 x^6\right) \log ^2(4)\right)}{1000 x^3+300 x^4+30 x^5+x^6} \, dx","Integrate[(E^(2*x)*(-2000 - 400*x - 3000*x^3 + 449700*x^4 + 135000*x^5 + 13500*x^6 + 450*x^7) + E^x*(30000*x + 39000*x^2 - 443400*x^3 + 315300*x^4 + 121500*x^5 + 13050*x^6 + 450*x^7)*Log[4] + (-450000*x^3 - 135000*x^4 - 13500*x^5 - 450*x^6)*Log[4]^2)/(E^(2*x)*(1000*x^3 + 300*x^4 + 30*x^5 + x^6)),x]","\frac{25 e^{-2 x} \left(e^x \left(3 x^3+30 x^2+2\right)-3 x (x+10) \log (4)\right)^2}{x^2 (x+10)^2}","25 \left(\frac{2}{x (x+10)}+3 \left(x-e^{-x} \log (4)\right)\right)^2",1,"(25*(E^x*(2 + 30*x^2 + 3*x^3) - 3*x*(10 + x)*Log[4])^2)/(E^(2*x)*x^2*(10 + x)^2)","A",1
9265,1,21,17,0.4858734,"\int \frac{e^6+e^3 \left(5 x+x^2\right)+\left(-e^6+e^3 \left(-10 x-3 x^2\right)\right) \log (x)}{e^6 x^2+25 x^4+10 x^5+x^6+e^3 \left(10 x^3+2 x^4\right)} \, dx","Integrate[(E^6 + E^3*(5*x + x^2) + (-E^6 + E^3*(-10*x - 3*x^2))*Log[x])/(E^6*x^2 + 25*x^4 + 10*x^5 + x^6 + E^3*(10*x^3 + 2*x^4)),x]","\frac{e^3 \log (x)}{x \left(x^2+5 x+e^3\right)}","\frac{\log (x)}{\frac{(x+5) x^2}{e^3}+x}",1,"(E^3*Log[x])/(x*(E^3 + 5*x + x^2))","A",1
9266,1,27,30,0.8839943,"\int \frac{e^{6+x} \left(6750+7650 x+450 x^2-450 x^3\right)+e^6 \left(1620-90 x-120 x^2+30 x^3\right)+e^6 \left(900+120 x-60 x^2\right) \log (5-x)}{-5 x^2+x^3+e^{2 x} (-1125+225 x)+e^x \left(-150 x+30 x^2\right)+\left(e^x (150-30 x)+10 x-2 x^2\right) \log (5-x)+(-5+x) \log ^2(5-x)} \, dx","Integrate[(E^(6 + x)*(6750 + 7650*x + 450*x^2 - 450*x^3) + E^6*(1620 - 90*x - 120*x^2 + 30*x^3) + E^6*(900 + 120*x - 60*x^2)*Log[5 - x])/(-5*x^2 + x^3 + E^(2*x)*(-1125 + 225*x) + E^x*(-150*x + 30*x^2) + (E^x*(150 - 30*x) + 10*x - 2*x^2)*Log[5 - x] + (-5 + x)*Log[5 - x]^2),x]","-\frac{30 e^6 (x+3)^2}{-x-15 e^x+\log (5-x)}","\frac{2 e^6 (x+3)^2}{e^x+\frac{1}{15} (x-\log (5-x))}",1,"(-30*E^6*(3 + x)^2)/(-15*E^x - x + Log[5 - x])","A",1
9267,1,23,28,0.0791448,"\int \frac{-x^3+\left(3-x^3-5 x^4\right) \log (x)+4 x^3 \log (x) \log \left(\frac{4}{x \log (x)}\right)}{\log (x)} \, dx","Integrate[(-x^3 + (3 - x^3 - 5*x^4)*Log[x] + 4*x^3*Log[x]*Log[4/(x*Log[x])])/Log[x],x]","-x^5+x^4 \log \left(\frac{4}{x \log (x)}\right)+3 x","x \left(x^3 \left(\log \left(\frac{4}{x \log (x)}\right)-x\right)+3\right)-3 e^5",1,"3*x - x^5 + x^4*Log[4/(x*Log[x])]","A",1
9268,1,21,27,0.1703857,"\int \frac{-3+6 x+6 x^2+e \left(-1+2 x+2 x^2\right)+(3 x+e x) \log (2 x)}{8 x+4 x^2+2 x \log (2 x)} \, dx","Integrate[(-3 + 6*x + 6*x^2 + E*(-1 + 2*x + 2*x^2) + (3*x + E*x)*Log[2*x])/(8*x + 4*x^2 + 2*x*Log[2*x]),x]","\frac{1}{2} (3+e) (x-\log (2 x+\log (2 x)+4))","\frac{1}{2} \left((3+e) (x-\log (2 x+\log (2 x)+4))+e^5+6\right)",1,"((3 + E)*(x - Log[4 + 2*x + Log[2*x]]))/2","A",1
9269,1,31,31,0.5961113,"\int \frac{3 x+e^{e^5+x^2} \left(36-24 x^2\right)+e^{x^2} \left(36 x-24 x^3\right)+\left(e^{e^5+x^2} \left(-9+6 x^2\right)+e^{x^2} \left(-9 x+6 x^3\right)\right) \log \left(e^{e^5}+x\right)+\left(36 e^{e^5}+36 x+\left(-9 e^{e^5}-9 x\right) \log \left(e^{e^5}+x\right)\right) \log \left(-4+\log \left(e^{e^5}+x\right)\right)+\left(12 e^{e^5+x^2}+12 e^{x^2} x+\left(-3 e^{e^5+x^2}-3 e^{x^2} x\right) \log \left(e^{e^5}+x\right)+\left(12 e^{e^5}+12 x+\left(-3 e^{e^5}-3 x\right) \log \left(e^{e^5}+x\right)\right) \log \left(-4+\log \left(e^{e^5}+x\right)\right)\right) \log \left(\frac{x}{e^{x^2}+\log \left(-4+\log \left(e^{e^5}+x\right)\right)}\right)}{-16 e^{e^5+x^2} x^2-16 e^{x^2} x^3+\left(4 e^{e^5+x^2} x^2+4 e^{x^2} x^3\right) \log \left(e^{e^5}+x\right)+\left(-16 e^{e^5} x^2-16 x^3+\left(4 e^{e^5} x^2+4 x^3\right) \log \left(e^{e^5}+x\right)\right) \log \left(-4+\log \left(e^{e^5}+x\right)\right)+\left(-16 e^{e^5+x^2} x^2-16 e^{x^2} x^3+\left(4 e^{e^5+x^2} x^2+4 e^{x^2} x^3\right) \log \left(e^{e^5}+x\right)+\left(-16 e^{e^5} x^2-16 x^3+\left(4 e^{e^5} x^2+4 x^3\right) \log \left(e^{e^5}+x\right)\right) \log \left(-4+\log \left(e^{e^5}+x\right)\right)\right) \log \left(\frac{x}{e^{x^2}+\log \left(-4+\log \left(e^{e^5}+x\right)\right)}\right)+\left(-4 e^{e^5+x^2} x^2-4 e^{x^2} x^3+\left(e^{e^5+x^2} x^2+e^{x^2} x^3\right) \log \left(e^{e^5}+x\right)+\left(-4 e^{e^5} x^2-4 x^3+\left(e^{e^5} x^2+x^3\right) \log \left(e^{e^5}+x\right)\right) \log \left(-4+\log \left(e^{e^5}+x\right)\right)\right) \log ^2\left(\frac{x}{e^{x^2}+\log \left(-4+\log \left(e^{e^5}+x\right)\right)}\right)} \, dx","Integrate[(3*x + E^(E^5 + x^2)*(36 - 24*x^2) + E^x^2*(36*x - 24*x^3) + (E^(E^5 + x^2)*(-9 + 6*x^2) + E^x^2*(-9*x + 6*x^3))*Log[E^E^5 + x] + (36*E^E^5 + 36*x + (-9*E^E^5 - 9*x)*Log[E^E^5 + x])*Log[-4 + Log[E^E^5 + x]] + (12*E^(E^5 + x^2) + 12*E^x^2*x + (-3*E^(E^5 + x^2) - 3*E^x^2*x)*Log[E^E^5 + x] + (12*E^E^5 + 12*x + (-3*E^E^5 - 3*x)*Log[E^E^5 + x])*Log[-4 + Log[E^E^5 + x]])*Log[x/(E^x^2 + Log[-4 + Log[E^E^5 + x]])])/(-16*E^(E^5 + x^2)*x^2 - 16*E^x^2*x^3 + (4*E^(E^5 + x^2)*x^2 + 4*E^x^2*x^3)*Log[E^E^5 + x] + (-16*E^E^5*x^2 - 16*x^3 + (4*E^E^5*x^2 + 4*x^3)*Log[E^E^5 + x])*Log[-4 + Log[E^E^5 + x]] + (-16*E^(E^5 + x^2)*x^2 - 16*E^x^2*x^3 + (4*E^(E^5 + x^2)*x^2 + 4*E^x^2*x^3)*Log[E^E^5 + x] + (-16*E^E^5*x^2 - 16*x^3 + (4*E^E^5*x^2 + 4*x^3)*Log[E^E^5 + x])*Log[-4 + Log[E^E^5 + x]])*Log[x/(E^x^2 + Log[-4 + Log[E^E^5 + x]])] + (-4*E^(E^5 + x^2)*x^2 - 4*E^x^2*x^3 + (E^(E^5 + x^2)*x^2 + E^x^2*x^3)*Log[E^E^5 + x] + (-4*E^E^5*x^2 - 4*x^3 + (E^E^5*x^2 + x^3)*Log[E^E^5 + x])*Log[-4 + Log[E^E^5 + x]])*Log[x/(E^x^2 + Log[-4 + Log[E^E^5 + x]])]^2),x]","\frac{3}{x \left(\log \left(\frac{x}{e^{x^2}+\log \left(\log \left(x+e^{e^5}\right)-4\right)}\right)+2\right)}","\frac{3}{x \left(\log \left(\frac{x}{e^{x^2}+\log \left(\log \left(x+e^{e^5}\right)-4\right)}\right)+2\right)}",1,"3/(x*(2 + Log[x/(E^x^2 + Log[-4 + Log[E^E^5 + x]])]))","A",1
9270,1,38,33,0.0844063,"\int \frac{-e^8-20 e^4 x-75 x^2+e^5 \left(-e^8-10 e^4 x-25 x^2\right)+e^{x^2} \left(1+e^5+2 x^2\right)+\left(e^8-e^{x^2}+10 e^4 x+25 x^2\right) \log \left(e^8 x-e^{x^2} x+10 e^4 x^2+25 x^3\right)}{-e^8 x^2+e^{x^2} x^2-10 e^4 x^3-25 x^4} \, dx","Integrate[(-E^8 - 20*E^4*x - 75*x^2 + E^5*(-E^8 - 10*E^4*x - 25*x^2) + E^x^2*(1 + E^5 + 2*x^2) + (E^8 - E^x^2 + 10*E^4*x + 25*x^2)*Log[E^8*x - E^x^2*x + 10*E^4*x^2 + 25*x^3])/(-(E^8*x^2) + E^x^2*x^2 - 10*E^4*x^3 - 25*x^4),x]","\frac{\log \left(x \left(25 x^2-e^{x^2}+10 e^4 x+e^8\right)\right)}{x}-\frac{e^5}{x}","\frac{\log \left(x \left(\left(5 x+e^4\right)^2-e^{x^2}\right)\right)+x-e^5}{x}+3",1,"-(E^5/x) + Log[x*(E^8 - E^x^2 + 10*E^4*x + 25*x^2)]/x","A",1
9271,1,30,29,5.0786577,"\int \frac{-5 e^{2 x}+e^x \left(-45+15 x+10 x^2-3 x^3\right)+e^x \left(-5+5 x+3 x^2\right) \log (x)+e^x \left(-5+5 x+3 x^2\right) \log \left(81 x^4\right)}{16 x^2+e^{2 x} x^2-8 x^3+x^4+e^x \left(8 x^2-2 x^3\right)+\left(8 x^2+2 e^x x^2-2 x^3\right) \log (x)+x^2 \log ^2(x)+\left(8 x^2+2 e^x x^2-2 x^3+2 x^2 \log (x)\right) \log \left(81 x^4\right)+x^2 \log ^2\left(81 x^4\right)} \, dx","Integrate[(-5*E^(2*x) + E^x*(-45 + 15*x + 10*x^2 - 3*x^3) + E^x*(-5 + 5*x + 3*x^2)*Log[x] + E^x*(-5 + 5*x + 3*x^2)*Log[81*x^4])/(16*x^2 + E^(2*x)*x^2 - 8*x^3 + x^4 + E^x*(8*x^2 - 2*x^3) + (8*x^2 + 2*E^x*x^2 - 2*x^3)*Log[x] + x^2*Log[x]^2 + (8*x^2 + 2*E^x*x^2 - 2*x^3 + 2*x^2*Log[x])*Log[81*x^4] + x^2*Log[81*x^4]^2),x]","\frac{e^x (3 x+5)}{x \left(\log \left(81 x^4\right)-x+e^x+\log (x)+4\right)}","\frac{e^x \left(\frac{5}{x}+3\right)}{\log \left(81 x^4\right)-x+e^x+\log (x)+4}",1,"(E^x*(5 + 3*x))/(x*(4 + E^x - x + Log[x] + Log[81*x^4]))","A",1
9272,1,35,29,0.1323053,"\int \frac{-12+60 x-60 x^2+e^{2+x} \left(-5+20 x-20 x^2\right)+\left(-45+192 x-234 x^2+60 x^3+e^{2+x} \left(5-20 x+20 x^2\right)\right) \log \left(\frac{-45+e^{2+x} (5-10 x)+102 x-30 x^2}{-15+30 x}\right)}{\left(-45+192 x-234 x^2+60 x^3+e^{2+x} \left(5-20 x+20 x^2\right)\right) \log \left(\frac{-45+e^{2+x} (5-10 x)+102 x-30 x^2}{-15+30 x}\right)} \, dx","Integrate[(-12 + 60*x - 60*x^2 + E^(2 + x)*(-5 + 20*x - 20*x^2) + (-45 + 192*x - 234*x^2 + 60*x^3 + E^(2 + x)*(5 - 20*x + 20*x^2))*Log[(-45 + E^(2 + x)*(5 - 10*x) + 102*x - 30*x^2)/(-15 + 30*x)])/((-45 + 192*x - 234*x^2 + 60*x^3 + E^(2 + x)*(5 - 20*x + 20*x^2))*Log[(-45 + E^(2 + x)*(5 - 10*x) + 102*x - 30*x^2)/(-15 + 30*x)]),x]","x-\log \left(\log \left(\frac{-30 x^2+102 x+e^{x+2} (5-10 x)-45}{30 x-15}\right)\right)","x-\log \left(\log \left(\frac{x}{5-10 x}-x-\frac{e^{x+2}}{3}+3\right)\right)",1,"x - Log[Log[(-45 + E^(2 + x)*(5 - 10*x) + 102*x - 30*x^2)/(-15 + 30*x)]]","A",1
9273,1,19,19,0.0067492,"\int -2 e^{4+\sqrt{e}-e^3-x} \, dx","Integrate[-2*E^(4 + Sqrt[E] - E^3 - x),x]","2 e^{-x-e^3+\sqrt{e}+4}","2 e^{-x-e^3+\sqrt{e}+4}",1,"2*E^(4 + Sqrt[E] - E^3 - x)","A",1
9274,1,20,20,0.0209228,"\int \frac{4 e^4 x^3+e^{4+\frac{4}{x^2}} \left(8-x^2\right)}{x^2} \, dx","Integrate[(4*E^4*x^3 + E^(4 + 4/x^2)*(8 - x^2))/x^2,x]","e^4 \left(2 x^2-e^{\frac{4}{x^2}} x\right)","e^4 x \left(2 x-e^{\frac{4}{x^2}}\right)+15",1,"E^4*(-(E^(4/x^2)*x) + 2*x^2)","A",1
9275,1,32,24,0.3766922,"\int \frac{-1-4 x+6 e x^2+e^{1+2 x} (2+4 x)+e^{1+x} \left(8 x+4 x^2\right)}{-x+2 e^{1+2 x} x-2 x^2+4 e^{1+x} x^2+2 e x^3} \, dx","Integrate[(-1 - 4*x + 6*E*x^2 + E^(1 + 2*x)*(2 + 4*x) + E^(1 + x)*(8*x + 4*x^2))/(-x + 2*E^(1 + 2*x)*x - 2*x^2 + 4*E^(1 + x)*x^2 + 2*E*x^3),x]","\log \left(-2 e x^2-4 e^{x+1} x+2 x-2 e^{2 x+1}+1\right)+\log (x)","\log \left(x \left(e \left(\left(x+e^x\right)^2-\frac{1}{2 e}\right)-x\right)\right)",1,"Log[x] + Log[1 - 2*E^(1 + 2*x) + 2*x - 4*E^(1 + x)*x - 2*E*x^2]","A",1
9276,1,13,16,0.0484321,"\int \frac{3-e^x-x}{1+e^x-x} \, dx","Integrate[(3 - E^x - x)/(1 + E^x - x),x]","x-2 \log \left(-x+e^x+1\right)","x-\log \left(\left(x-e^x-1\right)^2\right)+1",1,"x - 2*Log[1 + E^x - x]","A",1
9277,1,22,22,0.1605268,"\int \frac{e^x x^3+\left(324+324 x+e^{e^{4 x}} (324+324 x)\right) \log \left(1+e^{e^{4 x}}\right)+2 e^x x^2 \log (x)+e^x x \log ^2(x)+e^{e^{4 x}} \left(-1296 e^{4 x} x^2+e^x x^3+\left(-1296 e^{4 x} x+2 e^x x^2\right) \log (x)+e^x x \log ^2(x)\right)}{x^3+2 x^2 \log (x)+x \log ^2(x)+e^{e^{4 x}} \left(x^3+2 x^2 \log (x)+x \log ^2(x)\right)} \, dx","Integrate[(E^x*x^3 + (324 + 324*x + E^E^(4*x)*(324 + 324*x))*Log[1 + E^E^(4*x)] + 2*E^x*x^2*Log[x] + E^x*x*Log[x]^2 + E^E^(4*x)*(-1296*E^(4*x)*x^2 + E^x*x^3 + (-1296*E^(4*x)*x + 2*E^x*x^2)*Log[x] + E^x*x*Log[x]^2))/(x^3 + 2*x^2*Log[x] + x*Log[x]^2 + E^E^(4*x)*(x^3 + 2*x^2*Log[x] + x*Log[x]^2)),x]","e^x-\frac{324 \log \left(e^{e^{4 x}}+1\right)}{x+\log (x)}","e^x-\frac{324 \log \left(e^{e^{4 x}}+1\right)}{x+\log (x)}",1,"E^x - (324*Log[1 + E^E^(4*x)])/(x + Log[x])","A",1
9278,1,8,20,0.000828,"\int \frac{2+2 x}{x} \, dx","Integrate[(2 + 2*x)/x,x]","2 x+2 \log (x)","\log \left(\frac{4}{25} e^{2 x+\frac{2}{5}} x^2\right)+\log (2)",1,"2*x + 2*Log[x]","A",1
9279,1,54,20,0.1197361,"\int \frac{32 e^{3+2 x} x^3+e^3 \left(-18 e^2+18 e x+6 x^3+2 x^4\right)+e^{3+x} \left(32 x^3+8 x^4+e \left(24 x-24 x^2\right)\right)}{x^3} \, dx","Integrate[(32*E^(3 + 2*x)*x^3 + E^3*(-18*E^2 + 18*E*x + 6*x^3 + 2*x^4) + E^(3 + x)*(32*x^3 + 8*x^4 + E*(24*x - 24*x^2)))/x^3,x]","-2 e^3 \left(-\frac{x^2}{2}-\frac{9 e^2}{2 x^2}-3 x-8 e^{2 x}+e^x \left(-4 x+\frac{12 e}{x}-12\right)+\frac{9 e}{x}\right)","e^3 \left(x+4 e^x-\frac{3 e}{x}+3\right)^2",1,"-2*E^3*(-8*E^(2*x) + E^x*(-12 + (12*E)/x - 4*x) - (9*E^2)/(2*x^2) + (9*E)/x - 3*x - x^2/2)","B",1
9280,1,15,16,0.009999,"\int \frac{-e^2+20 e^{\frac{1}{x}}}{x^2} \, dx","Integrate[(-E^2 + 20*E^x^(-1))/x^2,x]","\frac{e^2}{x}-20 e^{\frac{1}{x}}","\frac{e^2-20 e^{\frac{1}{x}} x}{x}",1,"-20*E^x^(-1) + E^2/x","A",1
9281,1,23,28,0.0540641,"\int \frac{e^3 (-156-72 x)-156 x-46 x^2+12 x^3+(156+72 x) \log (3)+\left(52 x^2+36 x^3-2 x^4+e^3 \left(52 x+36 x^2\right)+\left(-52 x-36 x^2\right) \log (3)\right) \log \left(-e^3-x+\log (3)\right)+\left(-4 e^3 x^3-4 x^4+4 x^3 \log (3)\right) \log ^2\left(-e^3-x+\log (3)\right)}{-e^3-x+\log (3)} \, dx","Integrate[(E^3*(-156 - 72*x) - 156*x - 46*x^2 + 12*x^3 + (156 + 72*x)*Log[3] + (52*x^2 + 36*x^3 - 2*x^4 + E^3*(52*x + 36*x^2) + (-52*x - 36*x^2)*Log[3])*Log[-E^3 - x + Log[3]] + (-4*E^3*x^3 - 4*x^4 + 4*x^3*Log[3])*Log[-E^3 - x + Log[3]]^2)/(-E^3 - x + Log[3]),x]","\left(x^2 \log \left(-x-e^3+\log (3)\right)-6 x-13\right)^2","\left(x^2 \log \left(-x-e^3+\log (3)\right)-x-5 (x+4)+7\right)^2",1,"(-13 - 6*x + x^2*Log[-E^3 - x + Log[3]])^2","A",1
9282,1,18,18,0.1680534,"\int \frac{e^{\frac{4-x \log (5+3 x)}{\log (5+3 x)}} \left(-48+(-20-12 x) \log ^2(5+3 x)\right)}{(5+3 x) \log ^2(5+3 x)} \, dx","Integrate[(E^((4 - x*Log[5 + 3*x])/Log[5 + 3*x])*(-48 + (-20 - 12*x)*Log[5 + 3*x]^2))/((5 + 3*x)*Log[5 + 3*x]^2),x]","4 e^{\frac{4}{\log (3 x+5)}-x}","4 e^{\frac{4}{\log (3 x+5)}-x}",1,"4*E^(-x + 4/Log[5 + 3*x])","A",1
9283,1,34,24,0.7854124,"\int \frac{-1458-162 x+e^{2 x} (-18+18 x)+e^x \left(-324+144 x+18 x^2\right)+e^{2 \log ^2(x)} (-162+324 \log (x))+e^{\log ^2(x)} \left(-972-54 x+e^x (-108+54 x)+\left(972+108 e^x+108 x\right) \log (x)\right)}{x^3} \, dx","Integrate[(-1458 - 162*x + E^(2*x)*(-18 + 18*x) + E^x*(-324 + 144*x + 18*x^2) + E^(2*Log[x]^2)*(-162 + 324*Log[x]) + E^Log[x]^2*(-972 - 54*x + E^x*(-108 + 54*x) + (972 + 108*E^x + 108*x)*Log[x]))/x^3,x]","\frac{9 \left(e^x+3 e^{\log ^2(x)}+9\right) \left(2 x+e^x+3 e^{\log ^2(x)}+9\right)}{x^2}","\frac{9 \left(e^x+x+3 \left(e^{\log ^2(x)}+3\right)\right)^2}{x^2}-5",1,"(9*(9 + E^x + 3*E^Log[x]^2)*(9 + E^x + 3*E^Log[x]^2 + 2*x))/x^2","A",1
9284,1,36,29,0.0267091,"\int \frac{-9 e^{\frac{2+x^3}{x^3}}-9 e^{\frac{2 \left(2+x^3\right)}{x^3}}-10 x^2}{12 x^4} \, dx","Integrate[(-9*E^((2 + x^3)/x^3) - 9*E^((2*(2 + x^3))/x^3) - 10*x^2)/(12*x^4),x]","\frac{1}{12} \left(\frac{3}{2} e^{\frac{2}{x^3}+1}+\frac{3}{4} e^{\frac{4}{x^3}+2}+\frac{10}{x}\right)","\frac{1}{16} \left(e^{\frac{\frac{2}{x^2}+x}{x}}+1\right)^2+\frac{5}{6 x}",1,"((3*E^(1 + 2/x^3))/2 + (3*E^(2 + 4/x^3))/4 + 10/x)/12","A",1
9285,1,27,22,0.0206422,"\int e^{-2 x} \left(150 x+20 e^{2 x} x-150 x^2+e^{3 x} \left(1+10 x+5 x^2\right)\right) \, dx","Integrate[(150*x + 20*E^(2*x)*x - 150*x^2 + E^(3*x)*(1 + 10*x + 5*x^2))/E^(2*x),x]","75 e^{-2 x} x^2+10 x^2+e^x \left(5 x^2+1\right)","5 \left(15 e^{-2 x}+e^x+2\right) x^2+e^x-6",1,"10*x^2 + (75*x^2)/E^(2*x) + E^x*(1 + 5*x^2)","A",1
9286,1,26,26,0.262711,"\int \frac{e^{-x-e^{-x} \left(-4 e^x+e^{2 x}+4 x\right)} \left(e^x-4 x-e^{2 x} x+4 x^2\right)}{5 \log (5)} \, dx","Integrate[(E^(-x - (-4*E^x + E^(2*x) + 4*x)/E^x)*(E^x - 4*x - E^(2*x)*x + 4*x^2))/(5*Log[5]),x]","\frac{e^{-4 e^{-x} x-e^x+4} x}{5 \log (5)}","\frac{e^{-4 e^{-x} x-e^x+4} x}{5 \log (5)}",1,"(E^(4 - E^x - (4*x)/E^x)*x)/(5*Log[5])","A",1
9287,0,0,11,3.0050017,"\int \frac{3\ 2^{4 x}-4 \log (2)}{1+2^{4 x} (-5+3 x)} \, dx","Integrate[(3*2^(4*x) - 4*Log[2])/(1 + 2^(4*x)*(-5 + 3*x)),x]","\int \frac{3\ 2^{4 x}-4 \log (2)}{1+2^{4 x} (-5+3 x)} \, dx","\log \left(3 x+2^{-4 x}-5\right)",1,"Integrate[(3*2^(4*x) - 4*Log[2])/(1 + 2^(4*x)*(-5 + 3*x)), x]","F",-1
9288,1,21,24,0.5456639,"\int \frac{4 x^2+\exp \left(\frac{e^{\frac{1}{4} (20-24 x-5 x \log (x))}}{x}+\frac{1}{4} (20-24 x-5 x \log (x))\right) (-4-29 x-5 x \log (x))}{4 x^2} \, dx","Integrate[(4*x^2 + E^(E^((20 - 24*x - 5*x*Log[x])/4)/x + (20 - 24*x - 5*x*Log[x])/4)*(-4 - 29*x - 5*x*Log[x]))/(4*x^2),x]","e^{e^{5-6 x} x^{-\frac{5 x}{4}-1}}+x","x+e^{\frac{e^{-x-\frac{5}{4} x (\log (x)+4)+5}}{x}}",1,"E^(E^(5 - 6*x)*x^(-1 - (5*x)/4)) + x","A",1
9289,1,29,27,0.7659353,"\int \frac{1}{6} \exp \left(\frac{1}{2} \left(e^x-4 e^{\frac{1}{3} \left(4 x+6 x^2\right)}+e^5 x\right)\right) \left(3 e^5+3 e^x+e^{\frac{1}{3} \left(4 x+6 x^2\right)} (-16-48 x)\right) \, dx","Integrate[(E^((E^x - 4*E^((4*x + 6*x^2)/3) + E^5*x)/2)*(3*E^5 + 3*E^x + E^((4*x + 6*x^2)/3)*(-16 - 48*x)))/6,x]","\exp \left(\frac{1}{2} \left(e^5 x+e^x-4 e^{\frac{2}{3} x (3 x+2)}\right)\right)","e^{\frac{1}{2} \left(e^5 x+e^x-4 e^{2 x \left(x+\frac{2}{3}\right)}\right)}",1,"E^((E^x - 4*E^((2*x*(2 + 3*x))/3) + E^5*x)/2)","A",1
9290,1,25,27,0.3496452,"\int \frac{e^{\frac{3 e^{4 x}-47 x-21 x^2-3 x^3}{3 x^3}} \left(94 x+21 x^2+e^{4 x} (-9+12 x)\right)}{3 x^4} \, dx","Integrate[(E^((3*E^(4*x) - 47*x - 21*x^2 - 3*x^3)/(3*x^3))*(94*x + 21*x^2 + E^(4*x)*(-9 + 12*x)))/(3*x^4),x]","e^{\frac{e^{4 x}}{x^3}-\frac{47}{3 x^2}-\frac{7}{x}-1}","e^{\frac{-(x+4)^2+x+\frac{e^{4 x}}{x}+\frac{1}{3}}{x^2}}",1,"E^(-1 + E^(4*x)/x^3 - 47/(3*x^2) - 7/x)","A",1
9291,1,16,18,0.0562175,"\int \frac{-3+\log \left(\frac{x^3}{3+\log (21)}\right) \log \left(\log \left(\frac{x^3}{3+\log (21)}\right)\right)}{\log \left(\frac{x^3}{3+\log (21)}\right) \log ^2\left(\log \left(\frac{x^3}{3+\log (21)}\right)\right)} \, dx","Integrate[(-3 + Log[x^3/(3 + Log[21])]*Log[Log[x^3/(3 + Log[21])]])/(Log[x^3/(3 + Log[21])]*Log[Log[x^3/(3 + Log[21])]]^2),x]","\frac{x}{\log \left(\log \left(\frac{x^3}{3+\log (21)}\right)\right)}","\frac{x}{\log \left(\log \left(\frac{x^3}{3+\log (21)}\right)\right)}+25",1,"x/Log[Log[x^3/(3 + Log[21])]]","A",1
9292,1,45,23,1.3166274,"\int \frac{-6-4 e^{50-2 x}+8 x^3+e^{25-x} \left(8 x-4 x^2\right)}{-3+e^{50-2 x}-3 x+2 e^{25-x} x^2+x^4} \, dx","Integrate[(-6 - 4*E^(50 - 2*x) + 8*x^3 + E^(25 - x)*(8*x - 4*x^2))/(-3 + E^(50 - 2*x) - 3*x + 2*E^(25 - x)*x^2 + x^4),x]","2 \log \left(e^{2 x} x^4+2 e^{x+25} x^2-3 e^{2 x} x-3 e^{2 x}+e^{50}\right)-4 x","\log \left(\left(-\left(x^2+e^{25-x}\right)^2+3 x+3\right)^2\right)",1,"-4*x + 2*Log[E^50 - 3*E^(2*x) - 3*E^(2*x)*x + 2*E^(25 + x)*x^2 + E^(2*x)*x^4]","A",1
9293,1,47,24,0.1194224,"\int \frac{\left(-6 x^3+4 x^4\right) \log (25)+e^{\frac{-1+\log (25)}{x^2 \log (25)}} \left(6-2 x+\left(-6+2 x-x^3\right) \log (25)\right)}{x^3 \log (25)} \, dx","Integrate[((-6*x^3 + 4*x^4)*Log[25] + E^((-1 + Log[25])/(x^2*Log[25]))*(6 - 2*x + (-6 + 2*x - x^3)*Log[25]))/(x^3*Log[25]),x]","2 x^2-\frac{e^{\frac{\log (25)-1}{x^2 \log (25)}} (x (2 \log (25)-2)+6-6 \log (25))}{2 (\log (25)-1)}-6 x","(x-3) \left(2 x-e^{\frac{1-\frac{1}{\log (25)}}{x^2}}\right)",1,"-6*x + 2*x^2 - (E^((-1 + Log[25])/(x^2*Log[25]))*(6 - 6*Log[25] + x*(-2 + 2*Log[25])))/(2*(-1 + Log[25]))","A",1
9294,1,27,29,0.1079604,"\int \frac{160+e^{\frac{e^x}{8 x}+x} (5-5 x)-128 x^2-160 \log (x)}{32 x^2} \, dx","Integrate[(160 + E^(E^x/(8*x) + x)*(5 - 5*x) - 128*x^2 - 160*Log[x])/(32*x^2),x]","-4 x-\frac{5}{4} e^{\frac{e^x}{8 x}}+\frac{5 \log (x)}{x}","x-5 \left(x+\frac{1}{4} e^{\frac{e^x}{8 x}}-\frac{\log (x)}{x}\right)",1,"(-5*E^(E^x/(8*x)))/4 - 4*x + (5*Log[x])/x","A",1
9295,1,18,21,0.0623091,"\int \frac{-6+x+x^2+e (3+x)+x \log \left(\frac{e^{-x}}{x^3}\right)}{4 x+e^2 x-4 x^2+x^3+e \left(-4 x+2 x^2\right)} \, dx","Integrate[(-6 + x + x^2 + E*(3 + x) + x*Log[1/(E^x*x^3)])/(4*x + E^2*x - 4*x^2 + x^3 + E*(-4*x + 2*x^2)),x]","-\frac{\log \left(\frac{e^{-x}}{x^3}\right)}{x+e-2}","\frac{\log \left(\frac{e^{-x}}{x^3}\right)}{-x-e+2}",1,"-(Log[1/(E^x*x^3)]/(-2 + E + x))","A",1
9296,1,27,17,0.0038737,"\int \frac{-520-6 x-190 \log (x)-5 \log ^2(x)}{5 x^2} \, dx","Integrate[(-520 - 6*x - 190*Log[x] - 5*Log[x]^2)/(5*x^2),x]","\frac{144}{x}+\frac{\log ^2(x)}{x}+\frac{40 \log (x)}{x}-\frac{6 \log (x)}{5}","\frac{(\log (x)+36) \left(-\frac{6 x}{5}+\log (x)+4\right)}{x}",1,"144/x - (6*Log[x])/5 + (40*Log[x])/x + Log[x]^2/x","A",1
9297,1,14,18,5.0142733,"\int \frac{8}{\left(8 x-108 x^2\right) \log \left(\frac{2-27 x}{x}\right)+\left(-2 x+27 x^2\right) \log \left(\frac{2-27 x}{x}\right) \log \left(\log \left(\frac{2-27 x}{x}\right)\right)} \, dx","Integrate[8/((8*x - 108*x^2)*Log[(2 - 27*x)/x] + (-2*x + 27*x^2)*Log[(2 - 27*x)/x]*Log[Log[(2 - 27*x)/x]]),x]","4 \log \left(\log \left(\log \left(\frac{2}{x}-27\right)\right)-4\right)","4 \log \left(4-\log \left(\log \left(2 \left(\frac{1}{x}-16\right)+5\right)\right)\right)",1,"4*Log[-4 + Log[Log[-27 + 2/x]]]","A",1
9298,1,20,19,0.2070874,"\int \frac{2+\left(2+4 x^3\right) \log (30 x)-2 \log (30 x) \log (-x \log (30 x))}{x^4 \log (30 x)+x \log (30 x) \log (-x \log (30 x))} \, dx","Integrate[(2 + (2 + 4*x^3)*Log[30*x] - 2*Log[30*x]*Log[-(x*Log[30*x])])/(x^4*Log[30*x] + x*Log[30*x]*Log[-(x*Log[30*x])]),x]","2 \log \left(x^3+\log (-x \log (30 x))\right)-2 \log (x)","\log \left(\left(x^2+\frac{\log (-x \log (30 x))}{x}\right)^2\right)",1,"-2*Log[x] + 2*Log[x^3 + Log[-(x*Log[30*x])]]","A",1
9299,1,166,23,0.1022868,"\int \frac{-480+280 x-40 x^2+15 x^3-5 x^4+\left(-80 x+40 x^2-48 x^3-5 x^4\right) \log \left(\frac{80-40 x+48 x^2+5 x^3}{5 x^2}\right)}{80 x-40 x^2+48 x^3+5 x^4} \, dx","Integrate[(-480 + 280*x - 40*x^2 + 15*x^3 - 5*x^4 + (-80*x + 40*x^2 - 48*x^3 - 5*x^4)*Log[(80 - 40*x + 48*x^2 + 5*x^3)/(5*x^2)])/(80*x - 40*x^2 + 48*x^3 + 5*x^4),x]","-16 \text{RootSum}\left[5 \text{$\#$1}^3+48 \text{$\#$1}^2-40 \text{$\#$1}+80\&,\frac{3 \text{$\#$1}^2 \log (x-\text{$\#$1})-5 \text{$\#$1} \log (x-\text{$\#$1})+15 \log (x-\text{$\#$1})}{15 \text{$\#$1}^2+96 \text{$\#$1}-40}\&\right]+\text{RootSum}\left[5 \text{$\#$1}^3+48 \text{$\#$1}^2-40 \text{$\#$1}+80\&,\frac{93 \text{$\#$1}^2 \log (x-\text{$\#$1})+208 \text{$\#$1} \log (x-\text{$\#$1})+120 \log (x-\text{$\#$1})}{15 \text{$\#$1}^2+96 \text{$\#$1}-40}\&\right]-x \log \left(\frac{16}{x^2}+x-\frac{8}{x}+\frac{48}{5}\right)-6 \log (x)","(3-x) \log \left(\frac{(4-x)^2}{x^2}+x+\frac{43}{5}\right)",1,"-6*Log[x] - x*Log[48/5 + 16/x^2 - 8/x + x] - 16*RootSum[80 - 40*#1 + 48*#1^2 + 5*#1^3 & , (15*Log[x - #1] - 5*Log[x - #1]*#1 + 3*Log[x - #1]*#1^2)/(-40 + 96*#1 + 15*#1^2) & ] + RootSum[80 - 40*#1 + 48*#1^2 + 5*#1^3 & , (120*Log[x - #1] + 208*Log[x - #1]*#1 + 93*Log[x - #1]*#1^2)/(-40 + 96*#1 + 15*#1^2) & ]","C",1
9300,1,37,34,0.2464598,"\int \frac{e^{\frac{x-e^{2/x} x-4 \log (15)}{x}} \left(-10 x^3+e^{2/x} \left(-10+10 x^2\right)+\left(-20+20 x^2\right) \log (15)\right)}{x^2-2 x^4+x^6} \, dx","Integrate[(E^((x - E^(2/x)*x - 4*Log[15])/x)*(-10*x^3 + E^(2/x)*(-10 + 10*x^2) + (-20 + 20*x^2)*Log[15]))/(x^2 - 2*x^4 + x^6),x]","\frac{5^{\frac{x-4}{x}} 81^{-1/x} e^{1-e^{2/x}}}{x^2-1}","\frac{5 e^{-e^{2/x}-\frac{4 \log (15)}{x}+1}}{x \left(x-\frac{1}{x}\right)}",1,"(5^((-4 + x)/x)*E^(1 - E^(2/x)))/(81^x^(-1)*(-1 + x^2))","A",1
9301,1,28,30,0.0517402,"\int \frac{-3 e+\left(24 x-8 e^{\frac{2}{3} (4+4 x)} x-6 x^2\right) \log ^2(x)}{3 x \log ^2(x)} \, dx","Integrate[(-3*E + (24*x - 8*E^((2*(4 + 4*x))/3)*x - 6*x^2)*Log[x]^2)/(3*x*Log[x]^2),x]","-x^2+8 x-e^{\frac{8 x}{3}+\frac{8}{3}}+\frac{e}{\log (x)}","-(x-4)^2-e^{2 x+\frac{2 (x+1)}{3}+2}+\frac{e}{\log (x)}",1,"-E^(8/3 + (8*x)/3) + 8*x - x^2 + E/Log[x]","A",1
9302,1,15,17,0.0137994,"\int -\frac{2 e}{\left(e x-x^2\right) \log ^2\left(-\frac{54 x^2}{e^2-2 e x+x^2}\right)} \, dx","Integrate[(-2*E)/((E*x - x^2)*Log[(-54*x^2)/(E^2 - 2*E*x + x^2)]^2),x]","\frac{1}{\log \left(-\frac{54 x^2}{(e-x)^2}\right)}","\frac{1}{\log \left(-\frac{54 x^2}{(e-x)^2}\right)}+2",1,"Log[(-54*x^2)/(E - x)^2]^(-1)","A",1
9303,1,26,28,0.2034601,"\int \frac{44 x+72 x^2+48 x^3+e^{4 x} \left(-19 x-30 x^2-24 x^3\right)+e^{8 x} \left(2 x+3 x^2+3 x^3\right)+\left(-19 x-30 x^2-24 x^3+e^{4 x} \left(4 x+6 x^2+6 x^3\right)\right) \log (x)+\left(2 x+3 x^2+3 x^3\right) \log ^2(x)+\left(2+3 x+3 x^2+e^{4 x} \left(8 x+12 x^2+12 x^3\right)\right) \log \left(2+3 x+3 x^2\right)}{32 x+48 x^2+48 x^3+e^{4 x} \left(-16 x-24 x^2-24 x^3\right)+e^{8 x} \left(2 x+3 x^2+3 x^3\right)+\left(-16 x-24 x^2-24 x^3+e^{4 x} \left(4 x+6 x^2+6 x^3\right)\right) \log (x)+\left(2 x+3 x^2+3 x^3\right) \log ^2(x)} \, dx","Integrate[(44*x + 72*x^2 + 48*x^3 + E^(4*x)*(-19*x - 30*x^2 - 24*x^3) + E^(8*x)*(2*x + 3*x^2 + 3*x^3) + (-19*x - 30*x^2 - 24*x^3 + E^(4*x)*(4*x + 6*x^2 + 6*x^3))*Log[x] + (2*x + 3*x^2 + 3*x^3)*Log[x]^2 + (2 + 3*x + 3*x^2 + E^(4*x)*(8*x + 12*x^2 + 12*x^3))*Log[2 + 3*x + 3*x^2])/(32*x + 48*x^2 + 48*x^3 + E^(4*x)*(-16*x - 24*x^2 - 24*x^3) + E^(8*x)*(2*x + 3*x^2 + 3*x^3) + (-16*x - 24*x^2 - 24*x^3 + E^(4*x)*(4*x + 6*x^2 + 6*x^3))*Log[x] + (2*x + 3*x^2 + 3*x^3)*Log[x]^2),x]","x-\frac{\log \left(3 x^2+3 x+2\right)}{e^{4 x}+\log (x)-4}","\frac{\log \left(3 \left(x^2+x\right)+2\right)}{-e^{4 x}-\log (x)+4}+x",1,"x - Log[2 + 3*x + 3*x^2]/(-4 + E^(4*x) + Log[x])","A",1
9304,1,13,25,0.0341543,"\int \frac{8-4 x+x \log \left(x^4\right)}{-4 x+x \log \left(x^4\right)} \, dx","Integrate[(8 - 4*x + x*Log[x^4])/(-4*x + x*Log[x^4]),x]","2 \log \left(4-\log \left(x^4\right)\right)+x","\log \left(\left(4-\log \left(x^4\right)\right)^2\right)+x+\frac{x-\frac{x}{e}}{x}",1,"x + 2*Log[4 - Log[x^4]]","A",1
9305,1,14,16,0.0038093,"\int \frac{1+x-x^2}{-x+x^2} \, dx","Integrate[(1 + x - x^2)/(-x + x^2),x]","-x+\log (1-x)-\log (x)","\log \left(\frac{2 e^{-x} (1-x)}{x}\right)",1,"-x + Log[1 - x] - Log[x]","A",1
9306,1,33,29,0.1007302,"\int \left(-1+e^{2 x} (5+2 x)+e^{2 x+\frac{2}{5} \left(5 e^{12} x^4+\log (2)\right)} \left(2+8 e^{12} x^3\right)\right) \, dx","Integrate[-1 + E^(2*x)*(5 + 2*x) + E^(2*x + (2*(5*E^12*x^4 + Log[2]))/5)*(2 + 8*E^12*x^3),x]","2^{2/5} e^{2 e^{12} x^4+2 x}-x+e^{2 x} (x+2)","e^{2 x} \left(2^{2/5} e^{2 e^{12} x^4}+x+2\right)-x",1,"2^(2/5)*E^(2*x + 2*E^12*x^4) - x + E^(2*x)*(2 + x)","A",1
9307,1,26,28,0.028708,"\int \frac{3 e^{10 x^2}-30 x+12 x^2+18 x^3+60 e^{10 x^2} x^2 \log (x)}{x} \, dx","Integrate[(3*E^(10*x^2) - 30*x + 12*x^2 + 18*x^3 + 60*E^(10*x^2)*x^2*Log[x])/x,x]","3 \left(2 x^3+2 x^2+e^{10 x^2} \log (x)-10 x\right)","3 \left(-\left((2 x+2) \left(5-x^2\right)\right)+e^{10 x^2} \log (x)+4\right)",1,"3*(-10*x + 2*x^2 + 2*x^3 + E^(10*x^2)*Log[x])","A",1
9308,1,18,18,0.0125441,"\int \frac{4 e^{1-e+x-x^2} \left(-1+x-2 x^2\right)}{x^2} \, dx","Integrate[(4*E^(1 - E + x - x^2)*(-1 + x - 2*x^2))/x^2,x]","\frac{4 e^{-x^2+x-e+1}}{x}","\frac{4 e^{-x^2+x-e+1}}{x}",1,"(4*E^(1 - E + x - x^2))/x","A",1
9309,1,40,21,0.1876853,"\int \frac{2+12 e^{2 x}+8 e^{3 x}+e^x (8-4 x)+\left(1+6 e^x+12 e^{2 x}+8 e^{3 x}\right) \log (x)}{\left(4+48 e^{2 x}+32 e^{3 x}+x+e^x (24+2 x)+\left(x+6 e^x x+12 e^{2 x} x+8 e^{3 x} x\right) \log (x)\right) \log \left(\frac{4+16 e^x+16 e^{2 x}+x+\left(x+4 e^x x+4 e^{2 x} x\right) \log (x)}{1+4 e^x+4 e^{2 x}}\right)} \, dx","Integrate[(2 + 12*E^(2*x) + 8*E^(3*x) + E^x*(8 - 4*x) + (1 + 6*E^x + 12*E^(2*x) + 8*E^(3*x))*Log[x])/((4 + 48*E^(2*x) + 32*E^(3*x) + x + E^x*(24 + 2*x) + (x + 6*E^x*x + 12*E^(2*x)*x + 8*E^(3*x)*x)*Log[x])*Log[(4 + 16*E^x + 16*E^(2*x) + x + (x + 4*E^x*x + 4*E^(2*x)*x)*Log[x])/(1 + 4*E^x + 4*E^(2*x))]),x]","\log \left(\log \left(\frac{16 e^x+16 e^{2 x}+x+x \left(2 e^x+1\right)^2 \log (x)+4}{\left(2 e^x+1\right)^2}\right)\right)","\log \left(\log \left(\frac{x}{\left(2 e^x+1\right)^2}+x \log (x)+4\right)\right)+4",1,"Log[Log[(4 + 16*E^x + 16*E^(2*x) + x + (1 + 2*E^x)^2*x*Log[x])/(1 + 2*E^x)^2]]","A",1
9310,1,33,29,0.1385216,"\int \frac{\left(8+2 x-2 x^2+e \left(16 x+4 x^2-4 x^3\right)\right) \log (x)+\left(-4+8 x+e \left(-4 x+8 x^2\right)\right) \log ^2(x) \log \left(\frac{x+e x^2}{e}\right)+\left(-8-2 x+2 x^2+e \left(-8 x-2 x^2+2 x^3\right)+\left(8+4 x-6 x^2+e \left(8 x+4 x^2-6 x^3\right)\right) \log (x)\right) \log \left(\frac{x+e x^2}{e}\right) \log \left(\log \left(\frac{x+e x^2}{e}\right)\right)}{(1+e x) \log ^2(x) \log \left(\frac{x+e x^2}{e}\right)} \, dx","Integrate[((8 + 2*x - 2*x^2 + E*(16*x + 4*x^2 - 4*x^3))*Log[x] + (-4 + 8*x + E*(-4*x + 8*x^2))*Log[x]^2*Log[(x + E*x^2)/E] + (-8 - 2*x + 2*x^2 + E*(-8*x - 2*x^2 + 2*x^3) + (8 + 4*x - 6*x^2 + E*(8*x + 4*x^2 - 6*x^3))*Log[x])*Log[(x + E*x^2)/E]*Log[Log[(x + E*x^2)/E]])/((1 + E*x)*Log[x]^2*Log[(x + E*x^2)/E]),x]","4 x^2-\frac{2 \left(x^2-x-4\right) x \log \left(\log \left(x \left(x+\frac{1}{e}\right)\right)\right)}{\log (x)}-4 x","\left(-x^2+x+4\right) \left(\frac{2 x \log \left(\log \left(x^2+\frac{x}{e}\right)\right)}{\log (x)}-4\right)",1,"-4*x + 4*x^2 - (2*x*(-4 - x + x^2)*Log[Log[x*(E^(-1) + x)]])/Log[x]","A",1
9311,1,40,31,0.0933253,"\int \frac{-\frac{e^{-4+4 x}}{x^4}+\frac{4 e^{-3+3 x}}{x^2}-17 x^2+34 x^3-x^4+\frac{e^{-2+2 x} \left(-30 x+26 x^2\right)}{x^2}+\frac{e^{-1+x} \left(-4 x^2-28 x^3\right)}{x}}{-4 e^{-3+3 x}+\frac{e^{-4+4 x}}{x^2}+x^4-2 x^5+x^6+\frac{e^{-2+2 x} \left(-2 x^3+6 x^4\right)}{x^2}+\frac{e^{-1+x} \left(4 x^4-4 x^5\right)}{x}} \, dx","Integrate[(-(E^(-4 + 4*x)/x^4) + (4*E^(-3 + 3*x))/x^2 - 17*x^2 + 34*x^3 - x^4 + (E^(-2 + 2*x)*(-30*x + 26*x^2))/x^2 + (E^(-1 + x)*(-4*x^2 - 28*x^3))/x)/(-4*E^(-3 + 3*x) + E^(-4 + 4*x)/x^2 + x^4 - 2*x^5 + x^6 + (E^(-2 + 2*x)*(-2*x^3 + 6*x^4))/x^2 + (E^(-1 + x)*(4*x^4 - 4*x^5))/x),x]","\frac{1}{x}-\frac{16 e^2 x^2}{e^2 (x-1) x^3-2 e^{x+1} x^2+e^{2 x}}","4 \left(\frac{4}{x-\left(x-\frac{e^{x-1}}{x}\right)^2}+4\right)+\frac{1}{x}+1",1,"x^(-1) - (16*E^2*x^2)/(E^(2*x) - 2*E^(1 + x)*x^2 + E^2*(-1 + x)*x^3)","A",1
9312,1,11,10,0.0599155,"\int \frac{e^x (-1+x)}{e^x x+x^2} \, dx","Integrate[(E^x*(-1 + x))/(E^x*x + x^2),x]","\log \left(x+e^x\right)-\log (x)","\log \left(\frac{x+e^x}{x}\right)",1,"-Log[x] + Log[E^x + x]","A",1
9313,1,19,21,0.0123688,"\int \frac{-32-16 x+3 x^3+4 x^6-x^7}{16 x-3 x^3+x^7} \, dx","Integrate[(-32 - 16*x + 3*x^3 + 4*x^6 - x^7)/(16*x - 3*x^3 + x^7),x]","\log \left(x^6-3 x^2+16\right)-x-2 \log (x)","\log \left(e^{-x} \left(-x^4-\frac{16}{x^2}+3\right)\right)-8",1,"-x - 2*Log[x] + Log[16 - 3*x^2 + x^6]","A",1
9314,1,30,27,0.3478857,"\int \frac{\left(60 x+36 x^2\right) \log (x)+\left(30 x+18 x^2+\left(20 x+72 x^2+36 x^3\right) \log (x)\right) \log \left(x^2\right)+\left(36 x \log (x)+\left(18 x+\left(42 x+54 x^2\right) \log (x)\right) \log \left(x^2\right)\right) \log \left(\frac{\log (x)}{x}\right)+18 x \log (x) \log \left(x^2\right) \log ^2\left(\frac{\log (x)}{x}\right)+\left(36 x \log (x)+\left(18 x+\left(42 x+54 x^2\right) \log (x)\right) \log \left(x^2\right)+36 x \log (x) \log \left(x^2\right) \log \left(\frac{\log (x)}{x}\right)\right) \log \left(\log \left(x^2\right)\right)+18 x \log (x) \log \left(x^2\right) \log ^2\left(\log \left(x^2\right)\right)}{9 \log (x) \log \left(x^2\right)} \, dx","Integrate[((60*x + 36*x^2)*Log[x] + (30*x + 18*x^2 + (20*x + 72*x^2 + 36*x^3)*Log[x])*Log[x^2] + (36*x*Log[x] + (18*x + (42*x + 54*x^2)*Log[x])*Log[x^2])*Log[Log[x]/x] + 18*x*Log[x]*Log[x^2]*Log[Log[x]/x]^2 + (36*x*Log[x] + (18*x + (42*x + 54*x^2)*Log[x])*Log[x^2] + 36*x*Log[x]*Log[x^2]*Log[Log[x]/x])*Log[Log[x^2]] + 18*x*Log[x]*Log[x^2]*Log[Log[x^2]]^2)/(9*Log[x]*Log[x^2]),x]","\frac{1}{9} x^2 \left(3 \log \left(\log \left(x^2\right)\right)+3 x+3 \log \left(\frac{\log (x)}{x}\right)+5\right)^2","\frac{1}{9} x^2 \left(3 \left(\log \left(\log \left(x^2\right)\right)+x+\log \left(\frac{\log (x)}{x}\right)\right)+5\right)^2",1,"(x^2*(5 + 3*x + 3*Log[Log[x]/x] + 3*Log[Log[x^2]])^2)/9","A",1
9315,1,31,32,0.2301203,"\int \frac{9 x+e^{2 x^2} x+6 x^2+x^3+e^{x^2} \left(-6 x-2 x^2\right)+\exp \left(\frac{5-e^{x^2}+\left(-3+e^{x^2}-x\right) \log \left(\frac{x^2}{4}\right)}{-3+e^{x^2}-x}\right) \left(-18-2 e^{2 x^2}-17 x-2 x^2+e^{x^2} \left(12+5 x+4 x^2-2 x^3\right)\right)}{9 x+e^{2 x^2} x+6 x^2+x^3+e^{x^2} \left(-6 x-2 x^2\right)} \, dx","Integrate[(9*x + E^(2*x^2)*x + 6*x^2 + x^3 + E^x^2*(-6*x - 2*x^2) + E^((5 - E^x^2 + (-3 + E^x^2 - x)*Log[x^2/4])/(-3 + E^x^2 - x))*(-18 - 2*E^(2*x^2) - 17*x - 2*x^2 + E^x^2*(12 + 5*x + 4*x^2 - 2*x^3)))/(9*x + E^(2*x^2)*x + 6*x^2 + x^3 + E^x^2*(-6*x - 2*x^2)),x]","x-\frac{1}{4} e^{\frac{2-x}{e^{x^2}-x-3}-1} x^2","x-\frac{1}{4} e^{-\frac{2-x}{-e^{x^2}+x+3}-1} x^2",1,"x - (E^(-1 + (2 - x)/(-3 + E^x^2 - x))*x^2)/4","A",1
9316,1,27,20,0.1570859,"\int \frac{e^{\frac{144 x}{80-40 \log (x)+5 \log ^2(x)}} (-864+144 \log (x))+e^{e^x} \left(-320 e^x+240 e^x \log (x)-60 e^x \log ^2(x)+5 e^x \log ^3(x)\right)}{-320+240 \log (x)-60 \log ^2(x)+5 \log ^3(x)} \, dx","Integrate[(E^((144*x)/(80 - 40*Log[x] + 5*Log[x]^2))*(-864 + 144*Log[x]) + E^E^x*(-320*E^x + 240*E^x*Log[x] - 60*E^x*Log[x]^2 + 5*E^x*Log[x]^3))/(-320 + 240*Log[x] - 60*Log[x]^2 + 5*Log[x]^3),x]","\frac{1}{5} \left(5 e^{e^x}+5 e^{\frac{144 x}{5 (\log (x)-4)^2}}\right)","e^{e^x}+e^{\frac{144 x}{5 (\log (x)-4)^2}}+5",1,"(5*E^E^x + 5*E^((144*x)/(5*(-4 + Log[x])^2)))/5","A",1
9317,1,37,27,0.189435,"\int \frac{\exp \left(\frac{x^2-50 x^3+645 x^4-502 x^5+150 x^6-20 x^7+x^8+e^{2 x} \left(625-500 x+150 x^2-20 x^3+x^4\right)+e^x \left(-50 x+1270 x^2-1002 x^3+300 x^4-40 x^5+2 x^6\right)}{x^2}\right) \left(-50 x^3+1290 x^4-1506 x^5+600 x^6-100 x^7+6 x^8+e^{2 x} \left(-1250+1750 x-1000 x^2+280 x^3-38 x^4+2 x^5\right)+e^x \left(50 x-50 x^2+268 x^3-402 x^4+180 x^5-32 x^6+2 x^7\right)\right)}{5 x^3} \, dx","Integrate[(E^((x^2 - 50*x^3 + 645*x^4 - 502*x^5 + 150*x^6 - 20*x^7 + x^8 + E^(2*x)*(625 - 500*x + 150*x^2 - 20*x^3 + x^4) + E^x*(-50*x + 1270*x^2 - 1002*x^3 + 300*x^4 - 40*x^5 + 2*x^6))/x^2)*(-50*x^3 + 1290*x^4 - 1506*x^5 + 600*x^6 - 100*x^7 + 6*x^8 + E^(2*x)*(-1250 + 1750*x - 1000*x^2 + 280*x^3 - 38*x^4 + 2*x^5) + E^x*(50*x - 50*x^2 + 268*x^3 - 402*x^4 + 180*x^5 - 32*x^6 + 2*x^7)))/(5*x^3),x]","\frac{1}{5} \exp \left(\frac{\left(x \left(x^3-10 x^2+25 x-1\right)+e^x (x-5)^2\right)^2}{x^2}\right)","\frac{1}{5} e^{\left((5-x)^2 \left(x+\frac{e^x}{x}\right)-1\right)^2}",1,"E^((E^x*(-5 + x)^2 + x*(-1 + 25*x - 10*x^2 + x^3))^2/x^2)/5","A",1
9318,1,10,16,0.0027572,"\int \left(-2-2 e^x-2 \log (x)\right) \, dx","Integrate[-2 - 2*E^x - 2*Log[x],x]","-2 \left(e^x+x \log (x)\right)","2 \left(-e^x-x \log (x)+4\right)+2",1,"-2*(E^x + x*Log[x])","A",1
9319,1,54,35,0.2462082,"\int \frac{4 x^3+4 x^4-12 x^5-12 x^6+e^3 \left(-4 x^3+12 x^5\right)+\left(8 x^2+8 x^3-24 x^4-24 x^5+e^3 \left(-8 x^2+24 x^4\right)\right) \log \left(1-e^3+x\right)+\left(4 x+4 x^2-12 x^3-12 x^4+e^3 \left(-4 x+12 x^3\right)\right) \log ^2\left(1-e^3+x\right)+\log ^2(x) \left(3 x+2 x^2-12 x^3-6 x^4+9 x^5+e^3 \left(-2 x+6 x^3\right)+\left(1+x-9 x^4-9 x^5+e^3 \left(-1+9 x^4\right)\right) \log \left(1-e^3+x\right)\right)+\log (x) \left(-x-x^2-6 x^3-2 x^4+3 x^5-9 x^6+e^3 \left(x+2 x^3+9 x^5\right)+\left(-1-x-10 x^2-6 x^3-9 x^4-21 x^5+e^3 \left(1+6 x^2+21 x^4\right)\right) \log \left(1-e^3+x\right)+\left(-4 x-4 x^2-12 x^3-12 x^4+e^3 \left(4 x+12 x^3\right)\right) \log ^2\left(1-e^3+x\right)\right)}{-2 x^6+2 e^3 x^6-2 x^7+\left(-6 x^5+6 e^3 x^5-6 x^6\right) \log \left(1-e^3+x\right)+\left(-6 x^4+6 e^3 x^4-6 x^5\right) \log ^2\left(1-e^3+x\right)+\left(-2 x^3+2 e^3 x^3-2 x^4\right) \log ^3\left(1-e^3+x\right)} \, dx","Integrate[(4*x^3 + 4*x^4 - 12*x^5 - 12*x^6 + E^3*(-4*x^3 + 12*x^5) + (8*x^2 + 8*x^3 - 24*x^4 - 24*x^5 + E^3*(-8*x^2 + 24*x^4))*Log[1 - E^3 + x] + (4*x + 4*x^2 - 12*x^3 - 12*x^4 + E^3*(-4*x + 12*x^3))*Log[1 - E^3 + x]^2 + Log[x]^2*(3*x + 2*x^2 - 12*x^3 - 6*x^4 + 9*x^5 + E^3*(-2*x + 6*x^3) + (1 + x - 9*x^4 - 9*x^5 + E^3*(-1 + 9*x^4))*Log[1 - E^3 + x]) + Log[x]*(-x - x^2 - 6*x^3 - 2*x^4 + 3*x^5 - 9*x^6 + E^3*(x + 2*x^3 + 9*x^5) + (-1 - x - 10*x^2 - 6*x^3 - 9*x^4 - 21*x^5 + E^3*(1 + 6*x^2 + 21*x^4))*Log[1 - E^3 + x] + (-4*x - 4*x^2 - 12*x^3 - 12*x^4 + E^3*(4*x + 12*x^3))*Log[1 - E^3 + x]^2))/(-2*x^6 + 2*E^3*x^6 - 2*x^7 + (-6*x^5 + 6*E^3*x^5 - 6*x^6)*Log[1 - E^3 + x] + (-6*x^4 + 6*E^3*x^4 - 6*x^5)*Log[1 - E^3 + x]^2 + (-2*x^3 + 2*E^3*x^3 - 2*x^4)*Log[1 - E^3 + x]^3),x]","\frac{\left(3 x^2-1\right) \log (x) \left(\left(3 x^2-1\right) \log (x)+8 x \left(x+\log \left(x-e^3+1\right)\right)\right)}{4 x^2 \left(x+\log \left(x-e^3+1\right)\right)^2}","\left(\frac{\left(\frac{1}{2} \left(\frac{1}{x}-x\right)-x\right) \log (x)}{x+\log \left(x-e^3+1\right)}-2\right)^2",1,"((-1 + 3*x^2)*Log[x]*((-1 + 3*x^2)*Log[x] + 8*x*(x + Log[1 - E^3 + x])))/(4*x^2*(x + Log[1 - E^3 + x])^2)","A",1
9320,1,24,22,0.0412673,"\int \frac{x \log \left(\frac{4}{x^2}\right)+(23+x) \log ^3\left(\frac{4}{x^2}\right)+\left(4 x-25 \log ^3\left(\frac{4}{x^2}\right)\right) \log (x)}{x^2 \log ^3\left(\frac{4}{x^2}\right)} \, dx","Integrate[(x*Log[4/x^2] + (23 + x)*Log[4/x^2]^3 + (4*x - 25*Log[4/x^2]^3)*Log[x])/(x^2*Log[4/x^2]^3),x]","\left(\frac{1}{\log ^2\left(\frac{4}{x^2}\right)}+\frac{25}{x}+1\right) \log (x)+\frac{2}{x}","\frac{\left(\frac{x}{\log ^2\left(\frac{4}{x^2}\right)}+x+25\right) \log (x)+2}{x}",1,"2/x + (1 + 25/x + Log[4/x^2]^(-2))*Log[x]","A",1
9321,1,28,31,0.186855,"\int \frac{e (1-x) \log (x)+\left(-x+x^2\right) \log ^2(x)+\left(-2 e x+2 x^2 \log (x)\right) \log (-3+3 x)+\left(e (1-x)+\left(-x+x^2\right) \log (x)\right) \log ^2(-3+3 x)+\left(e (-1+x)-x+x^2+\left(e (1-x)+x-x^2\right) \log (x)+\left(e (1-x)+x-x^2\right) \log ^2(-3+3 x)\right) \log \left(-x+x \log (x)+x \log ^2(-3+3 x)\right)}{\left(x^2-x^3+\left(-x^2+x^3\right) \log (x)+\left(-x^2+x^3\right) \log ^2(-3+3 x)\right) \log ^2\left(-x+x \log (x)+x \log ^2(-3+3 x)\right)} \, dx","Integrate[(E*(1 - x)*Log[x] + (-x + x^2)*Log[x]^2 + (-2*E*x + 2*x^2*Log[x])*Log[-3 + 3*x] + (E*(1 - x) + (-x + x^2)*Log[x])*Log[-3 + 3*x]^2 + (E*(-1 + x) - x + x^2 + (E*(1 - x) + x - x^2)*Log[x] + (E*(1 - x) + x - x^2)*Log[-3 + 3*x]^2)*Log[-x + x*Log[x] + x*Log[-3 + 3*x]^2])/((x^2 - x^3 + (-x^2 + x^3)*Log[x] + (-x^2 + x^3)*Log[-3 + 3*x]^2)*Log[-x + x*Log[x] + x*Log[-3 + 3*x]^2]^2),x]","\frac{e-x \log (x)}{x \log \left(x \left(\log ^2(3 (x-1))+\log (x)-1\right)\right)}","\frac{\frac{e}{x}-\log (x)}{\log \left(x \left(\log ^2(3 x-3)+\log (x)\right)-x\right)}",1,"(E - x*Log[x])/(x*Log[x*(-1 + Log[3*(-1 + x)]^2 + Log[x])])","A",1
9322,1,2,2,0.0001545,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log (x)",1,"Log[x]","A",1
9323,1,32,30,0.1842172,"\int \frac{-3 x+e^{2 x} \left(4 e^5+2 x\right)+e^x \left(-x+x^2+e^5 (4+x)\right)+\left(24 x+e^{2 x} \left(-2 e^5+18 x\right)+e^x \left(e^5 (-2-4 x)+42 x-4 x^2\right)\right) \log (x)+\left(-54 x-53 e^{2 x} x+e^x \left(-107 x+e^5 x+x^2\right)\right) \log ^2(x)+\left(24 x+48 e^x x+24 e^{2 x} x\right) \log ^3(x)+\left(-3 x-6 e^x x-3 e^{2 x} x\right) \log ^4(x)}{x+2 e^x x+e^{2 x} x+\left(-8 x-16 e^x x-8 e^{2 x} x\right) \log (x)+\left(18 x+36 e^x x+18 e^{2 x} x\right) \log ^2(x)+\left(-8 x-16 e^x x-8 e^{2 x} x\right) \log ^3(x)+\left(x+2 e^x x+e^{2 x} x\right) \log ^4(x)} \, dx","Integrate[(-3*x + E^(2*x)*(4*E^5 + 2*x) + E^x*(-x + x^2 + E^5*(4 + x)) + (24*x + E^(2*x)*(-2*E^5 + 18*x) + E^x*(E^5*(-2 - 4*x) + 42*x - 4*x^2))*Log[x] + (-54*x - 53*E^(2*x)*x + E^x*(-107*x + E^5*x + x^2))*Log[x]^2 + (24*x + 48*E^x*x + 24*E^(2*x)*x)*Log[x]^3 + (-3*x - 6*E^x*x - 3*E^(2*x)*x)*Log[x]^4)/(x + 2*E^x*x + E^(2*x)*x + (-8*x - 16*E^x*x - 8*E^(2*x)*x)*Log[x] + (18*x + 36*E^x*x + 18*E^(2*x)*x)*Log[x]^2 + (-8*x - 16*E^x*x - 8*E^(2*x)*x)*Log[x]^3 + (x + 2*E^x*x + E^(2*x)*x)*Log[x]^4),x]","\frac{e^x \left(x+e^5\right)}{\left(e^x+1\right) \left(\log ^2(x)-4 \log (x)+1\right)}-3 x","\frac{e^x \left(x+e^5\right)}{\left(e^x+1\right) \left((\log (x)-2)^2-3\right)}-3 x",1,"-3*x + (E^x*(E^5 + x))/((1 + E^x)*(1 - 4*Log[x] + Log[x]^2))","A",1
9324,1,11,12,0.0018214,"\int \frac{1}{9} \left(-25+18 e^{2 x}\right) \, dx","Integrate[(-25 + 18*E^(2*x))/9,x]","e^{2 x}-\frac{25 x}{9}","-\frac{25 x}{9}+e^{2 x}-6",1,"E^(2*x) - (25*x)/9","A",1
9325,1,15,15,0.0089553,"\int \left(1-170 e^{-1-80 x^2} x\right) \, dx","Integrate[1 - 170*E^(-1 - 80*x^2)*x,x]","\frac{17}{16} e^{-80 x^2-1}+x","\frac{17}{16} e^{-80 x^2-1}+x",1,"(17*E^(-1 - 80*x^2))/16 + x","A",1
9326,1,23,22,0.1306639,"\int \left(2 x-6 x^2+4 x^3+e^x \left(8 x-8 x^2-4 x^3\right)+e^{3 x} \left(12 x^2+12 x^3\right)+e^{2 x} \left(8 x+14 x^2-4 x^3-4 x^4\right)+e^{4 x} \left(4 x^3+4 x^4\right)\right) \, dx","Integrate[2*x - 6*x^2 + 4*x^3 + E^x*(8*x - 8*x^2 - 4*x^3) + E^(3*x)*(12*x^2 + 12*x^3) + E^(2*x)*(8*x + 14*x^2 - 4*x^3 - 4*x^4) + E^(4*x)*(4*x^3 + 4*x^4),x]","x^2 \left(e^{2 x} x-x+2 e^x+1\right)^2","\left(x^2-e^x \left(e^x x+2\right) x-x\right)^2",1,"x^2*(1 + 2*E^x - x + E^(2*x)*x)^2","A",1
9327,1,31,30,0.4377403,"\int \frac{\exp \left(\frac{2 \left(-198 x-558 x^2-18 x^3+288 x^4-72 x^5+e^{2 x} \left(-50 x^2-10 x^3+32 x^4-8 x^5\right)+e^x \left(60 x+336 x^2+36 x^3-192 x^4+48 x^5\right)\right)}{9+90 x+189 x^2-180 x^3+36 x^4+e^x \left(-30 x-138 x^2+120 x^3-24 x^4\right)+e^{2 x} \left(25 x^2-20 x^3+4 x^4\right)}\right) \left(-1188-756 x-7452 x^2-7020 x^3+14904 x^4-6480 x^5+864 x^6+e^x \left(360+612 x+5040 x^2+9180 x^3-15336 x^4+6480 x^5-864 x^6\right)+e^{3 x} \left(500 x^3-600 x^4+240 x^5-32 x^6\right)+e^{2 x} \left(-900 x^2-3780 x^3+5256 x^4-2160 x^5+288 x^6\right)\right)}{27+405 x+1863 x^2+1755 x^3-3726 x^4+1620 x^5-216 x^6+e^{2 x} \left(225 x^2+945 x^3-1314 x^4+540 x^5-72 x^6\right)+e^{3 x} \left(-125 x^3+150 x^4-60 x^5+8 x^6\right)+e^x \left(-135 x-1296 x^2-2295 x^3+3834 x^4-1620 x^5+216 x^6\right)} \, dx","Integrate[(E^((2*(-198*x - 558*x^2 - 18*x^3 + 288*x^4 - 72*x^5 + E^(2*x)*(-50*x^2 - 10*x^3 + 32*x^4 - 8*x^5) + E^x*(60*x + 336*x^2 + 36*x^3 - 192*x^4 + 48*x^5)))/(9 + 90*x + 189*x^2 - 180*x^3 + 36*x^4 + E^x*(-30*x - 138*x^2 + 120*x^3 - 24*x^4) + E^(2*x)*(25*x^2 - 20*x^3 + 4*x^4)))*(-1188 - 756*x - 7452*x^2 - 7020*x^3 + 14904*x^4 - 6480*x^5 + 864*x^6 + E^x*(360 + 612*x + 5040*x^2 + 9180*x^3 - 15336*x^4 + 6480*x^5 - 864*x^6) + E^(3*x)*(500*x^3 - 600*x^4 + 240*x^5 - 32*x^6) + E^(2*x)*(-900*x^2 - 3780*x^3 + 5256*x^4 - 2160*x^5 + 288*x^6)))/(27 + 405*x + 1863*x^2 + 1755*x^3 - 3726*x^4 + 1620*x^5 - 216*x^6 + E^(2*x)*(225*x^2 + 945*x^3 - 1314*x^4 + 540*x^5 - 72*x^6) + E^(3*x)*(-125*x^3 + 150*x^4 - 60*x^5 + 8*x^6) + E^x*(-135*x - 1296*x^2 - 2295*x^3 + 3834*x^4 - 1620*x^5 + 216*x^6)),x]","\exp \left(\frac{36}{\left(2 \left(e^x-3\right) x^2-5 \left(e^x-3\right) x+3\right)^2}-4 x-4\right)","\exp \left(4 \left(\frac{9}{\left(\left(3-e^x\right) x (2 x-5)-3\right)^2}-x\right)-4\right)",1,"E^(-4 - 4*x + 36/(3 - 5*(-3 + E^x)*x + 2*(-3 + E^x)*x^2)^2)","A",1
9328,1,52,39,0.0545961,"\int \frac{3-2 x+\log (4)+4 e^{16+e^{16+4 x}+4 x} (i \pi +\log (5-\log (3)))}{i \pi +\log (5-\log (3))} \, dx","Integrate[(3 - 2*x + Log[4] + 4*E^(16 + E^(16 + 4*x) + 4*x)*(I*Pi + Log[5 - Log[3]]))/(I*Pi + Log[5 - Log[3]]),x]","\frac{-x^2+3 x+x \log (4)+e^{e^{4 (x+4)}} (\log (5-\log (3))+i \pi )}{\log (5-\log (3))+i \pi }","e^{e^{4 (x+4)}}+\frac{x (-x+3+\log (4))}{\log (5-\log (3))+i \pi }-e^5",1,"(3*x - x^2 + x*Log[4] + E^E^(4*(4 + x))*(I*Pi + Log[5 - Log[3]]))/(I*Pi + Log[5 - Log[3]])","A",1
9329,1,29,25,0.0950362,"\int \frac{\left(15 x+4 x^2+e^x \left(-6 x-x^2\right)\right) \log \left(x^2\right)+(20+4 x) \log \left(2 \log \left(x^2\right)\right)+x \log \left(x^2\right) \log ^2\left(2 \log \left(x^2\right)\right)}{x \log \left(x^2\right)} \, dx","Integrate[((15*x + 4*x^2 + E^x*(-6*x - x^2))*Log[x^2] + (20 + 4*x)*Log[2*Log[x^2]] + x*Log[x^2]*Log[2*Log[x^2]]^2)/(x*Log[x^2]),x]","(x+5) \log ^2\left(2 \log \left(x^2\right)\right)-e^x (x+5)+x (2 x+15)","(x+5) \left(\log ^2\left(2 \log \left(x^2\right)\right)-e^x+2 x+5\right)+1",1,"-(E^x*(5 + x)) + x*(15 + 2*x) + (5 + x)*Log[2*Log[x^2]]^2","A",1
9330,1,45,25,0.0934165,"\int \frac{\exp \left(\frac{1}{16} \left(1+8 \log \left(2 \log \left(\frac{e^5+e^x}{x}\right)\right)+16 \log ^2\left(2 \log \left(\frac{e^5+e^x}{x}\right)\right)\right)\right) \left(-e^5+e^x (-1+x)+\left(-4 e^5+e^x (-4+4 x)\right) \log \left(2 \log \left(\frac{e^5+e^x}{x}\right)\right)\right)}{\left(2 e^5 x+2 e^x x\right) \log \left(\frac{e^5+e^x}{x}\right)} \, dx","Integrate[(E^((1 + 8*Log[2*Log[(E^5 + E^x)/x]] + 16*Log[2*Log[(E^5 + E^x)/x]]^2)/16)*(-E^5 + E^x*(-1 + x) + (-4*E^5 + E^x*(-4 + 4*x))*Log[2*Log[(E^5 + E^x)/x]]))/((2*E^5*x + 2*E^x*x)*Log[(E^5 + E^x)/x]),x]","\sqrt{2} e^{\log ^2\left(2 \log \left(\frac{e^x+e^5}{x}\right)\right)+\frac{1}{16}} \sqrt{\log \left(\frac{e^x+e^5}{x}\right)}","e^{\left(-\log \left(2 \log \left(\frac{e^x+e^5}{x}\right)\right)-\frac{1}{4}\right)^2}",1,"Sqrt[2]*E^(1/16 + Log[2*Log[(E^5 + E^x)/x]]^2)*Sqrt[Log[(E^5 + E^x)/x]]","A",1
9331,1,94,29,0.1567873,"\int \frac{-32 \log (3)+32 \log (3) \log \left(\frac{x}{3}\right)+(-8+16 x) \log (3) \log ^2\left(\frac{x}{3}\right)-8 \log (3) \log ^2\left(\frac{x}{3}\right) \log (x)}{\left(-4 x \log \left(\frac{x}{3}\right)-x^2 \log ^2\left(\frac{x}{3}\right)+x \log ^2\left(\frac{x}{3}\right) \log (x)\right) \log ^2\left(\frac{16 x^2+8 x^3 \log \left(\frac{x}{3}\right)+x^4 \log ^2\left(\frac{x}{3}\right)+\left(-8 x^2 \log \left(\frac{x}{3}\right)-2 x^3 \log ^2\left(\frac{x}{3}\right)\right) \log (x)+x^2 \log ^2\left(\frac{x}{3}\right) \log ^2(x)}{\log ^2\left(\frac{x}{3}\right)}\right)} \, dx","Integrate[(-32*Log[3] + 32*Log[3]*Log[x/3] + (-8 + 16*x)*Log[3]*Log[x/3]^2 - 8*Log[3]*Log[x/3]^2*Log[x])/((-4*x*Log[x/3] - x^2*Log[x/3]^2 + x*Log[x/3]^2*Log[x])*Log[(16*x^2 + 8*x^3*Log[x/3] + x^4*Log[x/3]^2 + (-8*x^2*Log[x/3] - 2*x^3*Log[x/3]^2)*Log[x] + x^2*Log[x/3]^2*Log[x]^2)/Log[x/3]^2]^2),x]","\frac{4 \log (3) \left((2 x-\log (x)-1) \log ^2\left(\frac{x}{3}\right)+4 \log (x)-4-\log (81)\right)}{\left((2 x-\log (x)-1) \log ^2\left(\frac{x}{3}\right)+4 \log \left(\frac{x}{3}\right)-4\right) \log \left(\frac{x^2 \left(\log \left(\frac{x}{3}\right) (x-\log (x))+4\right)^2}{\log ^2\left(\frac{x}{3}\right)}\right)}","\frac{4 \log (3)}{\log \left(x^2 \left(x-\log (x)+\frac{4}{\log \left(\frac{x}{3}\right)}\right)^2\right)}",1,"(4*Log[3]*(-4 - Log[81] + Log[x/3]^2*(-1 + 2*x - Log[x]) + 4*Log[x]))/((-4 + 4*Log[x/3] + Log[x/3]^2*(-1 + 2*x - Log[x]))*Log[(x^2*(4 + Log[x/3]*(x - Log[x]))^2)/Log[x/3]^2])","B",1
9332,1,22,25,0.052491,"\int \frac{\exp \left(\frac{-9+2 x \log \left(3+e^x+4 x^2\right)}{x \log \left(3+e^x+4 x^2\right)}\right) \left(9 e^x x+72 x^2+\left(27+9 e^x+36 x^2\right) \log \left(3+e^x+4 x^2\right)\right)}{\left(3 x^2+e^x x^2+4 x^4\right) \log ^2\left(3+e^x+4 x^2\right)} \, dx","Integrate[(E^((-9 + 2*x*Log[3 + E^x + 4*x^2])/(x*Log[3 + E^x + 4*x^2]))*(9*E^x*x + 72*x^2 + (27 + 9*E^x + 36*x^2)*Log[3 + E^x + 4*x^2]))/((3*x^2 + E^x*x^2 + 4*x^4)*Log[3 + E^x + 4*x^2]^2),x]","e^{2-\frac{9}{x \log \left(4 x^2+e^x+3\right)}}","e^{\frac{2 x-\frac{9}{\log \left(4 x^2+e^x+3\right)}}{x}}",1,"E^(2 - 9/(x*Log[3 + E^x + 4*x^2]))","A",1
9333,1,27,31,0.0178863,"\int \frac{-4-6 x+7 x^2-x^3-x^4+2 x^5-x^6}{x^3+2 x^4-x^5-2 x^6+x^7} \, dx","Integrate[(-4 - 6*x + 7*x^2 - x^3 - x^4 + 2*x^5 - x^6)/(x^3 + 2*x^4 - x^5 - 2*x^6 + x^7),x]","-\frac{2-x^2}{x^2 \left(x^2-x-1\right)}-\log (x)","\frac{2}{\left(\frac{2-x}{\frac{2}{x}-x}+1\right) x^2}-\log (x)",1,"-((2 - x^2)/(x^2*(-1 - x + x^2))) - Log[x]","A",1
9334,1,12,16,0.1352032,"\int \frac{5-5 e^x}{\left(e^x-x\right) \log \left(-e^x+x\right) \log \left(\log \left(-e^x+x\right)\right)} \, dx","Integrate[(5 - 5*E^x)/((E^x - x)*Log[-E^x + x]*Log[Log[-E^x + x]]),x]","-5 \log \left(\log \left(\log \left(x-e^x\right)\right)\right)","5 \log \left(-\frac{10}{\log \left(\log \left(x-e^x\right)\right)}\right)",1,"-5*Log[Log[Log[-E^x + x]]]","A",1
9335,1,26,23,0.0233321,"\int \frac{112+8 e^2+e (-60-14 x)+56 x+7 x^2}{64+4 e^2+e (-32-8 x)+32 x+4 x^2} \, dx","Integrate[(112 + 8*E^2 + E*(-60 - 14*x) + 56*x + 7*x^2)/(64 + 4*E^2 + E*(-32 - 8*x) + 32*x + 4*x^2),x]","\frac{1}{4} \left(7 (x-e+4)+\frac{(e-4) e}{-x+e-4}\right)","(x+4) \left(2-\frac{x}{4 (x-e+4)}\right)+\log (\log (5))",1,"(((-4 + E)*E)/(-4 + E - x) + 7*(4 - E + x))/4","A",1
9336,1,25,29,0.3324188,"\int \frac{e^x \left(-4050 x-2025 x^2+81 x^3+\left(-2025-2106 x+81 x^2\right) \log (5)\right)+e^{2+e^x} \left(e^{2 x} \left(2700 x^2-108 x^3+\left(2700 x-108 x^2\right) \log (5)\right)+e^x \left(5400 x+2700 x^2-108 x^3+\left(2700+2808 x-108 x^2\right) \log (5)\right)\right)+e^{6+3 e^x} \left(e^{2 x} \left(900 x^2-36 x^3+\left(900 x-36 x^2\right) \log (5)\right)+e^x \left(600 x+300 x^2-12 x^3+\left(300+312 x-12 x^2\right) \log (5)\right)\right)+e^{8+4 e^x} \left(e^x \left(-50 x-25 x^2+x^3+\left(-25-26 x+x^2\right) \log (5)\right)+e^{2 x} \left(-100 x^2+4 x^3+\left(-100 x+4 x^2\right) \log (5)\right)\right)+e^{4+2 e^x} \left(e^x \left(-2700 x-1350 x^2+54 x^3+\left(-1350-1404 x+54 x^2\right) \log (5)\right)+e^{2 x} \left(-2700 x^2+108 x^3+\left(-2700 x+108 x^2\right) \log (5)\right)\right)}{-15625+1875 x-75 x^2+x^3} \, dx","Integrate[(E^x*(-4050*x - 2025*x^2 + 81*x^3 + (-2025 - 2106*x + 81*x^2)*Log[5]) + E^(2 + E^x)*(E^(2*x)*(2700*x^2 - 108*x^3 + (2700*x - 108*x^2)*Log[5]) + E^x*(5400*x + 2700*x^2 - 108*x^3 + (2700 + 2808*x - 108*x^2)*Log[5])) + E^(6 + 3*E^x)*(E^(2*x)*(900*x^2 - 36*x^3 + (900*x - 36*x^2)*Log[5]) + E^x*(600*x + 300*x^2 - 12*x^3 + (300 + 312*x - 12*x^2)*Log[5])) + E^(8 + 4*E^x)*(E^x*(-50*x - 25*x^2 + x^3 + (-25 - 26*x + x^2)*Log[5]) + E^(2*x)*(-100*x^2 + 4*x^3 + (-100*x + 4*x^2)*Log[5])) + E^(4 + 2*E^x)*(E^x*(-2700*x - 1350*x^2 + 54*x^3 + (-1350 - 1404*x + 54*x^2)*Log[5]) + E^(2*x)*(-2700*x^2 + 108*x^3 + (-2700*x + 108*x^2)*Log[5])))/(-15625 + 1875*x - 75*x^2 + x^3),x]","\frac{e^x \left(e^{e^x+2}-3\right)^4 x (x+\log (5))}{(x-25)^2}","\frac{e^x \left(3-e^{e^x+2}\right)^4 x (x+\log (5))}{(25-x)^2}",1,"(E^x*(-3 + E^(2 + E^x))^4*x*(x + Log[5]))/(-25 + x)^2","A",1
9337,1,24,22,0.0470699,"\int \frac{-64+16 e^5 x^2+e^{-1-x+x^2} \left(-x^5+2 x^6\right)}{x^5} \, dx","Integrate[(-64 + 16*E^5*x^2 + E^(-1 - x + x^2)*(-x^5 + 2*x^6))/x^5,x]","\frac{16}{x^4}+e^{x^2-x-1}-\frac{8 e^5}{x^2}","\left(e^5-\frac{4}{x^2}\right)^2+e^{(x-1) x-1}+1",1,"E^(-1 - x + x^2) + 16/x^4 - (8*E^5)/x^2","A",1
9338,1,26,27,0.1910373,"\int \frac{4 e^{2 x}+\left(e^x \left(-x+x^2\right)+e^{2 x} \left(-10 x+20 x^2\right)\right) \log (x)+e^{2 x} (-8+8 x) \log (x) \log (\log (x))}{15 x^3 \log (x)} \, dx","Integrate[(4*E^(2*x) + (E^x*(-x + x^2) + E^(2*x)*(-10*x + 20*x^2))*Log[x] + E^(2*x)*(-8 + 8*x)*Log[x]*Log[Log[x]])/(15*x^3*Log[x]),x]","\frac{e^x \left(10 e^x x+x+4 e^x \log (\log (x))\right)}{15 x^2}","\frac{e^x \left(4 e^x \left(\frac{2 \log (\log (x))}{x}+5\right)+2\right)}{30 x}",1,"(E^x*(x + 10*E^x*x + 4*E^x*Log[Log[x]]))/(15*x^2)","A",1
9339,1,22,19,0.0512726,"\int \frac{16 x-8 x^3+\left(-24 x^2-12 x^3\right) \log (x)+\left(-24 x^2-12 x^3\right) \log (2+x)}{2+x} \, dx","Integrate[(16*x - 8*x^3 + (-24*x^2 - 12*x^3)*Log[x] + (-24*x^2 - 12*x^3)*Log[2 + x])/(2 + x),x]","-4 \left(x^3 \log (x)+x^3 \log (x+2)-x^2\right)","4 x^2 (-x \log (x)-x \log (x+2)+1)",1,"-4*(-x^2 + x^3*Log[x] + x^3*Log[2 + x])","A",1
9340,1,23,23,0.2532441,"\int \frac{x+\left(24 x-5 x^2\right) \log (x)+6 x \log (x) \log \left(\frac{5}{\log (x)}\right)}{\sqrt[3]{4-x+\log \left(\frac{5}{\log (x)}\right)} \left(e (12-3 x) \log (x)+3 e \log (x) \log \left(\frac{5}{\log (x)}\right)\right)} \, dx","Integrate[(x + (24*x - 5*x^2)*Log[x] + 6*x*Log[x]*Log[5/Log[x]])/((4 - x + Log[5/Log[x]])^(1/3)*(E*(12 - 3*x)*Log[x] + 3*E*Log[x]*Log[5/Log[x]])),x]","\frac{x^2}{e \sqrt[3]{-x+\log \left(\frac{5}{\log (x)}\right)+4}}","\frac{x^2}{e \sqrt[3]{-x+\log \left(\frac{5}{\log (x)}\right)+4}}",1,"x^2/(E*(4 - x + Log[5/Log[x]])^(1/3))","A",1
9341,1,28,25,0.6879858,"\int \frac{-6 x+9 x^2+e^{x^2} \left(3-3 x+9 x^2-12 x^3-6 x^4\right)+\left(-3 x^2+6 e^{x^2} x^3\right) \log (x)}{1-4 x+2 x^2+4 x^3+x^4+\left(2 x-4 x^2-2 x^3\right) \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(-6*x + 9*x^2 + E^x^2*(3 - 3*x + 9*x^2 - 12*x^3 - 6*x^4) + (-3*x^2 + 6*E^x^2*x^3)*Log[x])/(1 - 4*x + 2*x^2 + 4*x^3 + x^4 + (2*x - 4*x^2 - 2*x^3)*Log[x] + x^2*Log[x]^2),x]","\frac{3 \left(e^{x^2}-x\right) x}{-x^2-2 x+x \log (x)+1}","\frac{3 \left(x-e^{x^2}\right)}{x-\frac{1}{x}-\log (x)+2}",1,"(3*(E^x^2 - x)*x)/(1 - 2*x - x^2 + x*Log[x])","A",1
9342,1,22,22,0.6800767,"\int \frac{128 x^{14}+64 x^{15}+8 x^{16}+\left(64 x^{14}+288 x^{15}+140 x^{16}+18 x^{17}\right) \log (3 x)+\left(384 x^{13}+192 x^{14}+24 x^{15}+\left(192 x^{13}+1056 x^{14}+524 x^{15}+68 x^{16}\right) \log (3 x)\right) \log \left(x \log ^2(3 x)\right)+\left(384 x^{12}+192 x^{13}+24 x^{14}+\left(192 x^{12}+1440 x^{13}+732 x^{14}+96 x^{15}\right) \log (3 x)\right) \log ^2\left(x \log ^2(3 x)\right)+\left(128 x^{11}+64 x^{12}+8 x^{13}+\left(64 x^{11}+864 x^{12}+452 x^{13}+60 x^{14}\right) \log (3 x)\right) \log ^3\left(x \log ^2(3 x)\right)+\left(192 x^{11}+104 x^{12}+14 x^{13}\right) \log (3 x) \log ^4\left(x \log ^2(3 x)\right)}{\log (3 x)} \, dx","Integrate[(128*x^14 + 64*x^15 + 8*x^16 + (64*x^14 + 288*x^15 + 140*x^16 + 18*x^17)*Log[3*x] + (384*x^13 + 192*x^14 + 24*x^15 + (192*x^13 + 1056*x^14 + 524*x^15 + 68*x^16)*Log[3*x])*Log[x*Log[3*x]^2] + (384*x^12 + 192*x^13 + 24*x^14 + (192*x^12 + 1440*x^13 + 732*x^14 + 96*x^15)*Log[3*x])*Log[x*Log[3*x]^2]^2 + (128*x^11 + 64*x^12 + 8*x^13 + (64*x^11 + 864*x^12 + 452*x^13 + 60*x^14)*Log[3*x])*Log[x*Log[3*x]^2]^3 + (192*x^11 + 104*x^12 + 14*x^13)*Log[3*x]*Log[x*Log[3*x]^2]^4)/Log[3*x],x]","x^{12} (x+4)^2 \left(x+\log \left(x \log ^2(3 x)\right)\right)^4","x^{12} (x+4)^2 \left(x+\log \left(x \log ^2(3 x)\right)\right)^4",1,"x^12*(4 + x)^2*(x + Log[x*Log[3*x]^2])^4","A",1
9343,1,19,17,0.0920154,"\int \frac{-7 x-7 \log (3)+\left(2+9 x+4 x^2\right) \log \left(\frac{1+4 x}{2+x}\right)}{\left(2+9 x+4 x^2\right) \log ^2\left(\frac{1+4 x}{2+x}\right)} \, dx","Integrate[(-7*x - 7*Log[3] + (2 + 9*x + 4*x^2)*Log[(1 + 4*x)/(2 + x)])/((2 + 9*x + 4*x^2)*Log[(1 + 4*x)/(2 + x)]^2),x]","\frac{x+\log (3)}{\log \left(\frac{4 x+1}{x+2}\right)}","\frac{x+\log (3)}{\log \left(4-\frac{7}{x+2}\right)}",1,"(x + Log[3])/Log[(1 + 4*x)/(2 + x)]","A",1
9344,1,22,27,0.1741339,"\int \frac{-768+448 x-64 x^2-4 x^3+x^4+\left(-192+112 x-20 x^2+x^3\right) \log (2)+e^{-\frac{4 x}{-4+x}} \left(64-32 x+20 x^2+\left(16-8 x+x^2\right) \log (2)\right)+\left(-384 x+224 x^2-40 x^3+2 x^4+e^{-\frac{4 x}{-4+x}} \left(32 x-16 x^2+2 x^3\right)\right) \log \left(-12+e^{-\frac{4 x}{-4+x}}+x\right)}{-192+112 x-20 x^2+x^3+e^{-\frac{4 x}{-4+x}} \left(16-8 x+x^2\right)} \, dx","Integrate[(-768 + 448*x - 64*x^2 - 4*x^3 + x^4 + (-192 + 112*x - 20*x^2 + x^3)*Log[2] + (64 - 32*x + 20*x^2 + (16 - 8*x + x^2)*Log[2])/E^((4*x)/(-4 + x)) + (-384*x + 224*x^2 - 40*x^3 + 2*x^4 + (32*x - 16*x^2 + 2*x^3)/E^((4*x)/(-4 + x)))*Log[-12 + E^((-4*x)/(-4 + x)) + x])/(-192 + 112*x - 20*x^2 + x^3 + (16 - 8*x + x^2)/E^((4*x)/(-4 + x))),x]","x \left(x \log \left(x+e^{-\frac{4 x}{x-4}}-12\right)+4+\log (2)\right)","x^2 \log \left(x+e^{\frac{4 x}{4-x}}-12\right)+x (4+\log (2))",1,"x*(4 + Log[2] + x*Log[-12 + E^((-4*x)/(-4 + x)) + x])","A",1
9345,1,36,35,0.1960381,"\int \frac{e^{-2 x} \left(e^{2 x} \left(-2 x+x^2\right) \log ^2(2-x)+e^{\frac{9+3 x}{\log (2-x)}} \left(-18-6 x+(-12+6 x) \log (2-x)+(8-4 x) \log ^2(2-x)\right)+e^{\frac{9+3 x}{2 \log (2-x)}} \left(e^x \left(9 x+3 x^2\right)+e^x \left(6 x-3 x^2\right) \log (2-x)+e^x \left(4-6 x+2 x^2\right) \log ^2(2-x)\right)\right)}{(-4+2 x) \log ^2(2-x)} \, dx","Integrate[(E^(2*x)*(-2*x + x^2)*Log[2 - x]^2 + E^((9 + 3*x)/Log[2 - x])*(-18 - 6*x + (-12 + 6*x)*Log[2 - x] + (8 - 4*x)*Log[2 - x]^2) + E^((9 + 3*x)/(2*Log[2 - x]))*(E^x*(9*x + 3*x^2) + E^x*(6*x - 3*x^2)*Log[2 - x] + E^x*(4 - 6*x + 2*x^2)*Log[2 - x]^2))/(E^(2*x)*(-4 + 2*x)*Log[2 - x]^2),x]","\frac{1}{4} e^{-2 x} \left(e^x x-2 e^{\frac{3 (x+3)}{2 \log (2-x)}}\right)^2","\left(\frac{x}{2}-e^{\frac{9 \left(\frac{2 x}{3}+2\right)}{4 \log (2-x)}-x}\right)^2",1,"(-2*E^((3*(3 + x))/(2*Log[2 - x])) + E^x*x)^2/(4*E^(2*x))","A",1
9346,1,32,18,0.0030593,"\int \frac{1}{15} \left(-4+42 x+75 x^2+e^4 (-4+50 x)\right) \, dx","Integrate[(-4 + 42*x + 75*x^2 + E^4*(-4 + 50*x))/15,x]","\frac{1}{15} \left(25 x^3+25 e^4 x^2+21 x^2-4 e^4 x-4 x\right)","\frac{1}{3} x \left(x+e^4+1\right) \left(5 x-\frac{4}{5}\right)",1,"(-4*x - 4*E^4*x + 21*x^2 + 25*E^4*x^2 + 25*x^3)/15","A",1
9347,1,30,31,0.0784117,"\int \frac{-12 x^3+e^{2 x} \left(24 x^2-24 x^3\right)+e^{1-x} x \left(e^{4 x} (-1+x)-x^2-3 x^3+e^{2 x} \left(2 x+6 x^2-8 x^3\right)\right)}{3 e^{4 x} x-6 e^{2 x} x^2+3 x^3+e^{1-x} x \left(e^{4 x} x-2 e^{2 x} x^2+x^3\right)} \, dx","Integrate[(-12*x^3 + E^(2*x)*(24*x^2 - 24*x^3) + E^(1 - x)*x*(E^(4*x)*(-1 + x) - x^2 - 3*x^3 + E^(2*x)*(2*x + 6*x^2 - 8*x^3)))/(3*E^(4*x)*x - 6*E^(2*x)*x^2 + 3*x^3 + E^(1 - x)*x*(E^(4*x)*x - 2*E^(2*x)*x^2 + x^3)),x]","\frac{4 x^2}{e^{2 x}-x}+x-\log \left(e x+3 e^x\right)","\frac{4 x^2}{e^{2 x}-x}-\log \left(e^{1-x} x+3\right)",1,"x + (4*x^2)/(E^(2*x) - x) - Log[3*E^x + E*x]","A",1
9348,1,24,23,0.042693,"\int \left(e^2-2 e^{3+x}+2 e^{-1+e^{-3+x^2}+x^2} x\right) \, dx","Integrate[E^2 - 2*E^(3 + x) + 2*E^(-1 + E^(-3 + x^2) + x^2)*x,x]","e^{e^{x^2-3}+2}+e^2 x-2 e^{x+3}","e^2 \left(e^{e^{x^2-3}}+x-2 e^{x+1}+5\right)",1,"E^(2 + E^(-3 + x^2)) - 2*E^(3 + x) + E^2*x","A",1
9349,1,47,29,0.1761746,"\int \left(e^{4 e^4+6 x-3 x^2} (60-60 x)+e^{8 e^4+12 x-6 x^2} (12-12 x)+e^5 (1+2 x)\right) \, dx","Integrate[E^(4*E^4 + 6*x - 3*x^2)*(60 - 60*x) + E^(8*E^4 + 12*x - 6*x^2)*(12 - 12*x) + E^5*(1 + 2*x),x]","e^5 x^2+e^{-6 x^2+12 x+8 e^4}+10 e^{-3 x^2+6 x+4 e^4}+e^5 x","\left(e^{3 (2-x) x+4 e^4}+5\right)^2+e^5 x (x+1)",1,"E^(8*E^4 + 12*x - 6*x^2) + 10*E^(4*E^4 + 6*x - 3*x^2) + E^5*x + E^5*x^2","A",1
9350,1,29,23,0.2672753,"\int \frac{(38+6 x) \log \left(\frac{-1875+475 x+47 x^2+x^3}{-5624+1425 x+141 x^2+3 x^3}\right)}{421800-230603 x+15151 x^2+4302 x^3+207 x^4+3 x^5} \, dx","Integrate[((38 + 6*x)*Log[(-1875 + 475*x + 47*x^2 + x^3)/(-5624 + 1425*x + 141*x^2 + 3*x^3)])/(421800 - 230603*x + 15151*x^2 + 4302*x^3 + 207*x^4 + 3*x^5),x]","\log ^2\left(\frac{(x-3) (x+25)^2}{3 x^3+141 x^2+1425 x-5624}\right)","\log ^2\left(\frac{1}{\frac{x}{(x+25)^2 \left(x^2-3 x\right)}+3}\right)",1,"Log[((-3 + x)*(25 + x)^2)/(-5624 + 1425*x + 141*x^2 + 3*x^3)]^2","A",1
9351,1,23,20,0.0077448,"\int \left(-4 e^{x^4} x^3+e (2+50 x)\right) \, dx","Integrate[-4*E^x^4*x^3 + E*(2 + 50*x),x]","2 \left(-\frac{e^{x^4}}{2}+\frac{25 e x^2}{2}+e x\right)","e \left(25 x^2+2 x+5\right)-e^{x^4}",1,"2*(-1/2*E^x^4 + E*x + (25*E*x^2)/2)","A",1
9352,1,30,23,0.1212899,"\int \frac{-x \log (x)+(5+x+(5+x) \log (x)) \log (5+x)+\left(-5+e^x (-5-x)-x\right) \log ^2(5+x)}{(5+x) \log ^2(5+x)} \, dx","Integrate[(-(x*Log[x]) + (5 + x + (5 + x)*Log[x])*Log[5 + x] + (-5 + E^x*(-5 - x) - x)*Log[5 + x]^2)/((5 + x)*Log[5 + x]^2),x]","-\text{Ei}(\log (x+5))+\text{li}(x+5)-x-e^x+\frac{x \log (x)}{\log (x+5)}","-x-e^x+\frac{x \log (x)}{\log (x+5)}+e^5-4",1,"-E^x - x - ExpIntegralEi[Log[5 + x]] + (x*Log[x])/Log[5 + x] + LogIntegral[5 + x]","C",1
9353,1,60,33,0.9224946,"\int \frac{54+e^{2 x}-396 x-282 x^2-48 x^3+e^x \left(-3-81 x-17 x^2+15 x^3+4 x^4+e^4 \left(9+6 x+x^2\right)\right)}{3 e^{2 x}+27 x^2-198 x^3+291 x^4+264 x^5+48 x^6+e^8 \left(27+18 x+3 x^2\right)+e^4 \left(-54 x+180 x^2+138 x^3+24 x^4\right)+e^x \left(-18 x+66 x^2+24 x^3+e^4 (18+6 x)\right)} \, dx","Integrate[(54 + E^(2*x) - 396*x - 282*x^2 - 48*x^3 + E^x*(-3 - 81*x - 17*x^2 + 15*x^3 + 4*x^4 + E^4*(9 + 6*x + x^2)))/(3*E^(2*x) + 27*x^2 - 198*x^3 + 291*x^4 + 264*x^5 + 48*x^6 + E^8*(27 + 18*x + 3*x^2) + E^4*(-54*x + 180*x^2 + 138*x^3 + 24*x^4) + E^x*(-18*x + 66*x^2 + 24*x^3 + E^4*(18 + 6*x))),x]","\frac{3 \left(-4 x^3-11 x^2+5 x+6\right)+e^x x-3 e^4 (x+3)}{3 \left(x \left(4 x^2+11 x-3\right)+e^4 (x+3)+e^x\right)}","\frac{\frac{e^x}{3}+2}{4 x^2-x+\frac{e^x}{x+3}+e^4}",1,"(E^x*x - 3*E^4*(3 + x) + 3*(6 + 5*x - 11*x^2 - 4*x^3))/(3*(E^x + E^4*(3 + x) + x*(-3 + 11*x + 4*x^2)))","A",1
9354,1,29,30,0.1396966,"\int \frac{e^{20+4 x} (-1-4 x)+2 x+e^{x^2} \left(e^{20+4 x} (-4-24 x)+8 x+8 x^2\right)+\left(1-4 e^{20+4 x}+e^{x^2} \left(4-16 e^{20+4 x}\right)\right) \log \left(\frac{1}{5} \left(3+12 e^{x^2}\right)\right)}{1+4 e^{x^2}} \, dx","Integrate[(E^(20 + 4*x)*(-1 - 4*x) + 2*x + E^x^2*(E^(20 + 4*x)*(-4 - 24*x) + 8*x + 8*x^2) + (1 - 4*E^(20 + 4*x) + E^x^2*(4 - 16*E^(20 + 4*x)))*Log[(3 + 12*E^x^2)/5])/(1 + 4*E^x^2),x]","-\left(\left(e^{4 (x+5)}-x\right) \left(\log \left(\frac{3}{5} \left(4 e^{x^2}+1\right)\right)+x\right)\right)","\left(x-e^{4 (x+5)}\right) \left(\log \left(\frac{1}{5} \left(12 e^{x^2}+3\right)\right)+x\right)+2",1,"-((E^(4*(5 + x)) - x)*(x + Log[(3*(1 + 4*E^x^2))/5]))","A",1
9355,1,21,20,0.1956899,"\int \frac{e^{x+x \log \left(\frac{x^2}{(9+x) \log ^2(4)}\right)} \left(27+2 x+(9+x) \log \left(\frac{x^2}{(9+x) \log ^2(4)}\right)\right)}{9+x} \, dx","Integrate[(E^(x + x*Log[x^2/((9 + x)*Log[4]^2)])*(27 + 2*x + (9 + x)*Log[x^2/((9 + x)*Log[4]^2)]))/(9 + x),x]","e^x \left(\frac{x^2}{x+9}\right)^x \log ^{-2 x}(4)","e^{x \log \left(\frac{x^2}{(x+9) \log ^2(4)}\right)+x}",1,"(E^x*(x^2/(9 + x))^x)/Log[4]^(2*x)","A",1
9356,1,27,14,0.005628,"\int \frac{80+36 x+(-40+18 x) \log (x)-9 x \log ^2(x)}{9 x} \, dx","Integrate[(80 + 36*x + (-40 + 18*x)*Log[x] - 9*x*Log[x]^2)/(9*x),x]","-x \log ^2(x)-\frac{20 \log ^2(x)}{9}+4 x \log (x)+\frac{80 \log (x)}{9}","\left(x+\frac{20}{9}\right) (4-\log (x)) \log (x)",1,"(80*Log[x])/9 + 4*x*Log[x] - (20*Log[x]^2)/9 - x*Log[x]^2","A",1
9357,1,19,19,0.0528533,"\int \left(125000+30000 x+8 e^{4 x^2} x+2400 x^2+64 x^3+\left(150000+24000 x+960 x^2\right) \log (2)+\left(75000+7200 x+96 x^2\right) \log ^2(2)+(20000+960 x) \log ^3(2)+(3000+48 x) \log ^4(2)+240 \log ^5(2)+8 \log ^6(2)+e^{3 x^2} \left(-8-600 x-48 x^2-240 x \log (2)-24 x \log ^2(2)\right)+e^{2 x^2} \left(600+15048 x+2400 x^2+96 x^3+\left(240+12000 x+960 x^2\right) \log (2)+\left(24+3600 x+96 x^2\right) \log ^2(2)+480 x \log ^3(2)+24 x \log ^4(2)\right)+e^{x^2} \left(-15000-127400 x-30096 x^2-2400 x^3-64 x^4+\left(-12000-150960 x-24000 x^2-960 x^3\right) \log (2)+\left(-3600-75096 x-7200 x^2-96 x^3\right) \log ^2(2)+\left(-480-20000 x-960 x^2\right) \log ^3(2)+\left(-24-3000 x-48 x^2\right) \log ^4(2)-240 x \log ^5(2)-8 x \log ^6(2)\right)\right) \, dx","Integrate[125000 + 30000*x + 8*E^(4*x^2)*x + 2400*x^2 + 64*x^3 + (150000 + 24000*x + 960*x^2)*Log[2] + (75000 + 7200*x + 96*x^2)*Log[2]^2 + (20000 + 960*x)*Log[2]^3 + (3000 + 48*x)*Log[2]^4 + 240*Log[2]^5 + 8*Log[2]^6 + E^(3*x^2)*(-8 - 600*x - 48*x^2 - 240*x*Log[2] - 24*x*Log[2]^2) + E^(2*x^2)*(600 + 15048*x + 2400*x^2 + 96*x^3 + (240 + 12000*x + 960*x^2)*Log[2] + (24 + 3600*x + 96*x^2)*Log[2]^2 + 480*x*Log[2]^3 + 24*x*Log[2]^4) + E^x^2*(-15000 - 127400*x - 30096*x^2 - 2400*x^3 - 64*x^4 + (-12000 - 150960*x - 24000*x^2 - 960*x^3)*Log[2] + (-3600 - 75096*x - 7200*x^2 - 96*x^3)*Log[2]^2 + (-480 - 20000*x - 960*x^2)*Log[2]^3 + (-24 - 3000*x - 48*x^2)*Log[2]^4 - 240*x*Log[2]^5 - 8*x*Log[2]^6),x]","\left(-e^{x^2}+2 x+(5+\log (2))^2\right)^4","\left(-e^{x^2}+2 x+(5+\log (2))^2\right)^4",1,"(-E^x^2 + 2*x + (5 + Log[2])^2)^4","A",1
9358,1,20,18,0.2066531,"\int \frac{-1030725+20952000 x-144180000 x^2+350400000 x^3-100000000 x^4+\left(-202500+4050000 x-27000000 x^2+60000000 x^3\right) \log (x)}{14641 x^5+6050 x^5 \log (x)+625 x^5 \log ^2(x)} \, dx","Integrate[(-1030725 + 20952000*x - 144180000*x^2 + 350400000*x^3 - 100000000*x^4 + (-202500 + 4050000*x - 27000000*x^2 + 60000000*x^3)*Log[x])/(14641*x^5 + 6050*x^5*Log[x] + 625*x^5*Log[x]^2),x]","\frac{25 (20 x-3)^4}{x^4 (25 \log (x)+121)}","\frac{\left(\frac{3}{x}-20\right)^4}{\log (x)+\frac{121}{25}}",1,"(25*(-3 + 20*x)^4)/(x^4*(121 + 25*Log[x]))","A",1
9359,1,277,32,0.6105015,"\int \frac{\left(-100 x+50 e^5 x\right) \log \left(\frac{1}{3} \left(9+2 x-e^5 x\right)\right)+\left(450+100 x-50 e^5 x\right) \log ^2\left(\frac{1}{3} \left(9+2 x-e^5 x\right)\right)+e^{10 e^x} \left(\left(-4 x+2 e^5 x\right) \log \left(\frac{1}{3} \left(9+2 x-e^5 x\right)\right)+\left(18+4 x-2 e^5 x+e^x \left(-90 x-20 x^2+10 e^5 x^2\right)\right) \log ^2\left(\frac{1}{3} \left(9+2 x-e^5 x\right)\right)\right)+e^{5 e^x} \left(\left(-40 x+20 e^5 x\right) \log \left(\frac{1}{3} \left(9+2 x-e^5 x\right)\right)+\left(180+40 x-20 e^5 x+e^x \left(-450 x-100 x^2+50 e^5 x^2\right)\right) \log ^2\left(\frac{1}{3} \left(9+2 x-e^5 x\right)\right)\right)}{-9 x^3-2 x^4+e^5 x^4} \, dx","Integrate[((-100*x + 50*E^5*x)*Log[(9 + 2*x - E^5*x)/3] + (450 + 100*x - 50*E^5*x)*Log[(9 + 2*x - E^5*x)/3]^2 + E^(10*E^x)*((-4*x + 2*E^5*x)*Log[(9 + 2*x - E^5*x)/3] + (18 + 4*x - 2*E^5*x + E^x*(-90*x - 20*x^2 + 10*E^5*x^2))*Log[(9 + 2*x - E^5*x)/3]^2) + E^(5*E^x)*((-40*x + 20*E^5*x)*Log[(9 + 2*x - E^5*x)/3] + (180 + 40*x - 20*E^5*x + E^x*(-450*x - 100*x^2 + 50*E^5*x^2))*Log[(9 + 2*x - E^5*x)/3]^2))/(-9*x^3 - 2*x^4 + E^5*x^4),x]","\frac{1}{81} \left(25 \left(2 \left(e^5-2\right)^2 \text{Li}_2\left(1-\frac{1}{9} \left(-2+e^5\right) x\right)-\frac{\left(\left(e^5-2\right) x-9\right) \log \left(3-\frac{1}{3} \left(e^5-2\right) x\right) \left(\left(\left(e^5-2\right) x+9\right) \log \left(3-\frac{1}{3} \left(e^5-2\right) x\right)-2 \left(e^5-2\right) x\right)}{x^2}+2 \left(e^5-2\right)^2 \log \left(\frac{1}{9} \left(e^5-2\right) x\right) \left(\log \left(3-\frac{1}{3} \left(e^5-2\right) x\right)-1\right)\right)+25 \left(e^5-2\right) \left(-2 \left(e^5-2\right) \left(\log (3) \log (x)-\text{Li}_2\left(\frac{1}{9} \left(-2+e^5\right) x\right)\right)+\left(e^5-2\right) \log ^2\left(3-\frac{1}{3} \left(e^5-2\right) x\right)+\frac{18 \log \left(3-\frac{1}{3} \left(e^5-2\right) x\right)}{x}+2 \left(e^5-2\right) \left(\log (x)-\log \left(-e^5 x+2 x+9\right)\right)\right)+\frac{810 e^{5 e^x} \log ^2\left(3-\frac{1}{3} \left(e^5-2\right) x\right)}{x^2}+\frac{81 e^{10 e^x} \log ^2\left(3-\frac{1}{3} \left(e^5-2\right) x\right)}{x^2}\right)","\frac{\left(e^{5 e^x}+5\right)^2 \log ^2\left(\frac{1}{3} \left(2-e^5\right) x+3\right)}{x^2}",1,"((810*E^(5*E^x)*Log[3 - ((-2 + E^5)*x)/3]^2)/x^2 + (81*E^(10*E^x)*Log[3 - ((-2 + E^5)*x)/3]^2)/x^2 + 25*(-2 + E^5)*(2*(-2 + E^5)*(Log[x] - Log[9 + 2*x - E^5*x]) + (18*Log[3 - ((-2 + E^5)*x)/3])/x + (-2 + E^5)*Log[3 - ((-2 + E^5)*x)/3]^2 - 2*(-2 + E^5)*(Log[3]*Log[x] - PolyLog[2, ((-2 + E^5)*x)/9])) + 25*(2*(-2 + E^5)^2*Log[((-2 + E^5)*x)/9]*(-1 + Log[3 - ((-2 + E^5)*x)/3]) - ((-9 + (-2 + E^5)*x)*Log[3 - ((-2 + E^5)*x)/3]*(-2*(-2 + E^5)*x + (9 + (-2 + E^5)*x)*Log[3 - ((-2 + E^5)*x)/3]))/x^2 + 2*(-2 + E^5)^2*PolyLog[2, 1 - ((-2 + E^5)*x)/9]))/81","C",1
9360,1,25,21,0.0217946,"\int \frac{-48 x^2+\left(-40-80 x+8 x^2\right) \log (5)}{25 x^2-10 x^3+x^4+\left(50 x-20 x^2+2 x^3\right) \log (5)+\left(25-10 x+x^2\right) \log ^2(5)} \, dx","Integrate[(-48*x^2 + (-40 - 80*x + 8*x^2)*Log[5])/(25*x^2 - 10*x^3 + x^4 + (50*x - 20*x^2 + 2*x^3)*Log[5] + (25 - 10*x + x^2)*Log[5]^2),x]","\frac{8 (5 \log (5)-x (\log (5)-6))}{(x-5) (x+\log (5))}","\frac{2 x (4 x+4)}{(x-5) (x+\log (5))}-9",1,"(8*(-(x*(-6 + Log[5])) + 5*Log[5]))/((-5 + x)*(x + Log[5]))","A",1
9361,1,42,13,0.0424835,"\int \frac{32-8 x+(-8+8 x) \log (-1+x)}{-16+24 x-9 x^2+x^3} \, dx","Integrate[(32 - 8*x + (-8 + 8*x)*Log[-1 + x])/(-16 + 24*x - 9*x^2 + x^3),x]","\frac{8}{3} \left(\log (1-x)-\log (4-x)-\frac{3 \log (x-1)}{x-4}+2 \tanh ^{-1}\left(\frac{5}{3}-\frac{2 x}{3}\right)\right)","\frac{8 \log (x-1)}{4-x}",1,"(8*(2*ArcTanh[5/3 - (2*x)/3] + Log[1 - x] - Log[4 - x] - (3*Log[-1 + x])/(-4 + x)))/3","B",1
9362,1,17,18,0.0022316,"\int \frac{x+\frac{11 e^2 x}{5}+6 e^x x}{6 x} \, dx","Integrate[(x + (11*E^2*x)/5 + 6*E^x*x)/(6*x),x]","\frac{11 e^2 x}{30}+\frac{x}{6}+e^x","\frac{1}{6} \left(\frac{11 e^2 x}{5}+x\right)+e^x",1,"E^x + x/6 + (11*E^2*x)/30","A",1
9363,1,54,28,0.1843586,"\int \frac{25 x^2+e^x \left(-100 e^{4/x}+96 x^2\right)+\left(10 x^2+e^x \left(-40 e^{4/x}+39 x^2\right)\right) \log (x)+\left(x^2+e^x \left(-4 e^{4/x}+4 x^2\right)\right) \log ^2(x)}{-25 x^2+e^x \left(25 e^{4/x} x^2+95 x^3\right)+\left(-10 x^2+e^x \left(10 e^{4/x} x^2+39 x^3\right)\right) \log (x)+\left(-x^2+e^x \left(e^{4/x} x^2+4 x^3\right)\right) \log ^2(x)} \, dx","Integrate[(25*x^2 + E^x*(-100*E^(4/x) + 96*x^2) + (10*x^2 + E^x*(-40*E^(4/x) + 39*x^2))*Log[x] + (x^2 + E^x*(-4*E^(4/x) + 4*x^2))*Log[x]^2)/(-25*x^2 + E^x*(25*E^(4/x)*x^2 + 95*x^3) + (-10*x^2 + E^x*(10*E^(4/x)*x^2 + 39*x^3))*Log[x] + (-x^2 + E^x*(E^(4/x)*x^2 + 4*x^3))*Log[x]^2),x]","-x-\log (\log (x)+5)+\log \left(-19 e^x x-5 e^{x+\frac{4}{x}}-4 e^x x \log (x)-e^{x+\frac{4}{x}} \log (x)+\log (x)+5\right)","\log \left(4 x+e^{4/x}-e^{-x}-\frac{x}{\log (x)+5}\right)",1,"-x - Log[5 + Log[x]] + Log[5 - 5*E^(4/x + x) - 19*E^x*x + Log[x] - E^(4/x + x)*Log[x] - 4*E^x*x*Log[x]]","A",1
9364,1,20,22,1.4159366,"\int \frac{-4 x^2-8 x^3+\left(3 x^2+4 x^3\right) \log (x)+\left(16+64 x+64 x^2\right) \log ^5(x)}{\left(16+64 x+64 x^2\right) \log ^5(x)} \, dx","Integrate[(-4*x^2 - 8*x^3 + (3*x^2 + 4*x^3)*Log[x] + (16 + 64*x + 64*x^2)*Log[x]^5)/((16 + 64*x + 64*x^2)*Log[x]^5),x]","\frac{x^3}{16 (2 x+1) \log ^4(x)}+x","\frac{x}{16 \left(\frac{1}{x^2}+\frac{2}{x}\right) \log ^4(x)}+x",1,"x + x^3/(16*(1 + 2*x)*Log[x]^4)","A",1
9365,1,23,24,1.5077208,"\int \frac{20+8 x+8 x \log (x)+e^{14-x} \left(25 x+20 x^2+4 x^3\right) \log ^2(x)}{\left(25 x+20 x^2+4 x^3\right) \log ^2(x)} \, dx","Integrate[(20 + 8*x + 8*x*Log[x] + E^(14 - x)*(25*x + 20*x^2 + 4*x^3)*Log[x]^2)/((25*x + 20*x^2 + 4*x^3)*Log[x]^2),x]","-e^{14-x}-\frac{4}{(2 x+5) \log (x)}","-e^{14-x}-\frac{4}{(2 x+5) \log (x)}+14",1,"-E^(14 - x) - 4/((5 + 2*x)*Log[x])","A",1
9366,1,53,23,0.3737403,"\int \frac{16 e^4+e^{4+2 x} x^2+e^{4+x} (-4+4 x)}{-32+16 x+e^x \left(-20 x+8 x^2\right)+e^{2 x} \left(-3 x^2+x^3\right)} \, dx","Integrate[(16*E^4 + E^(4 + 2*x)*x^2 + E^(4 + x)*(-4 + 4*x))/(-32 + 16*x + E^x*(-20*x + 8*x^2) + E^(2*x)*(-3*x^2 + x^3)),x]","e^4 \left(\log \left(-e^x x^2+3 e^x x-4 x+8\right)+\log (3-x)+\log (x)-\log ((3-x) x)-\log \left(e^x x+4\right)\right)","e^4 \log \left(\frac{x}{x+4 e^{-x}}-x+2\right)",1,"E^4*(Log[3 - x] + Log[x] - Log[(3 - x)*x] - Log[4 + E^x*x] + Log[8 - 4*x + 3*E^x*x - E^x*x^2])","B",1
9367,1,12,20,0.0015775,"\int \frac{-64-324 x}{15 x} \, dx","Integrate[(-64 - 324*x)/(15*x),x]","-\frac{4}{15} (81 x+16 \log (x))","-\frac{4}{15} x^2 \left(\frac{16 \log (x)}{x^2}+\frac{81}{x}\right)",1,"(-4*(81*x + 16*Log[x]))/15","A",1
9368,1,9,9,0.0022963,"\int -\frac{15 e^{-3/x}}{x^2} \, dx","Integrate[-15/(E^(3/x)*x^2),x]","-5 e^{-3/x}","-5 e^{-3/x}",1,"-5/E^(3/x)","A",1
9369,1,36,34,0.08842,"\int \frac{e^{-2 x} \left(-4+14 x-8 x^2+e \left(-16+18 x-4 x^2\right)+e^{2 x} \left(-4 x+5 x^2+e \left(3-6 x+2 x^2\right)\right)+\left(-2+6 x-4 x^2+e (-4+4 x)+e^{2 x} \left(e (1-x)-2 x+2 x^2\right)\right) \log (1-x)\right)}{-1+x} \, dx","Integrate[(-4 + 14*x - 8*x^2 + E*(-16 + 18*x - 4*x^2) + E^(2*x)*(-4*x + 5*x^2 + E*(3 - 6*x + 2*x^2)) + (-2 + 6*x - 4*x^2 + E*(-4 + 4*x) + E^(2*x)*(E*(1 - x) - 2*x + 2*x^2))*Log[1 - x])/(E^(2*x)*(-1 + x)),x]","e^{-2 x} \left(e^{2 x} x+2\right) (e (x-3)+2 x+(x-e) \log (1-x))","\left(x+2 e^{-2 x}\right) \left(x^2-x+(e-x) (x-\log (1-x)-3)\right)",1,"((2 + E^(2*x)*x)*(E*(-3 + x) + 2*x + (-E + x)*Log[1 - x]))/E^(2*x)","A",1
9370,1,22,20,0.0680687,"\int \frac{1}{3} e^{\frac{1}{16} \left(-9-24 e^5-16 e^{10}\right)} x^{\frac{2}{3} e^{\frac{1}{16} \left(-9-24 e^5-16 e^{10}\right)} x} (2+2 \log (x)) \, dx","Integrate[(E^((-9 - 24*E^5 - 16*E^10)/16)*x^((2*E^((-9 - 24*E^5 - 16*E^10)/16)*x)/3)*(2 + 2*Log[x]))/3,x]","x^{\frac{2}{3} e^{-\frac{1}{16} \left(3+4 e^5\right)^2} x}","x^{\frac{2}{3} e^{-\left(\frac{3}{4}+e^5\right)^2} x}",1,"x^((2*x)/(3*E^((3 + 4*E^5)^2/16)))","A",1
9371,1,50,29,1.0469914,"\int \frac{-x^2+2 x^3+e^{\frac{2 \left(30-40 x^2+x^3+x^2 \log (x)\right)}{x}} \left(-60-78 x^2+4 x^3+2 x^2 \log (x)\right)+e^{\frac{30-40 x^2+x^3+x^2 \log (x)}{x}} \left(-60 x+2 x^2-78 x^3+4 x^4+2 x^3 \log (x)\right)}{x^2} \, dx","Integrate[(-x^2 + 2*x^3 + E^((2*(30 - 40*x^2 + x^3 + x^2*Log[x]))/x)*(-60 - 78*x^2 + 4*x^3 + 2*x^2*Log[x]) + E^((30 - 40*x^2 + x^3 + x^2*Log[x])/x)*(-60*x + 2*x^2 - 78*x^3 + 4*x^4 + 2*x^3*Log[x]))/x^2,x]","x^2+e^{2 x^2-80 x+\frac{60}{x}} x^{2 x}+2 e^{x^2-40 x+\frac{30}{x}} x^{x+1}-x","\left(e^{\frac{10 \left(3-4 x^2\right)}{x}+x (x+\log (x))}+x\right)^2-x",1,"-x + x^2 + E^(60/x - 80*x + 2*x^2)*x^(2*x) + 2*E^(30/x - 40*x + x^2)*x^(1 + x)","A",1
9372,1,35,28,5.100491,"\int \frac{50 x+e^{-2 e^x+2 x} \left(-2 e^{2+x} x+e^2 (1+2 x)\right)}{-400+4 e^{2-2 e^x+2 x} x+100 x^2} \, dx","Integrate[(50*x + E^(-2*E^x + 2*x)*(-2*E^(2 + x)*x + E^2*(1 + 2*x)))/(-400 + 4*E^(2 - 2*E^x + 2*x)*x + 100*x^2),x]","\frac{1}{4} \left(\log \left(25 e^{2 e^x} \left(x^2-4\right)+e^{2 x+2} x\right)-2 e^x\right)","\frac{1}{4} \log \left(4-x \left(x+\frac{1}{25} e^{2 x-2 e^x+2}\right)\right)",1,"(-2*E^x + Log[E^(2 + 2*x)*x + 25*E^(2*E^x)*(-4 + x^2)])/4","A",1
9373,1,22,23,0.1714021,"\int \frac{120 x+44 x^2+4 x^3+\left(-20 x^2-4 x^3\right) \log (x)+\left(72-48 x \log (x)+8 x^2 \log ^2(x)\right) \log (5+x)}{45+9 x+\left(-30 x-6 x^2\right) \log (x)+\left(5 x^2+x^3\right) \log ^2(x)} \, dx","Integrate[(120*x + 44*x^2 + 4*x^3 + (-20*x^2 - 4*x^3)*Log[x] + (72 - 48*x*Log[x] + 8*x^2*Log[x]^2)*Log[5 + x])/(45 + 9*x + (-30*x - 6*x^2)*Log[x] + (5*x^2 + x^3)*Log[x]^2),x]","4 \log ^2(x+5)-\frac{4 x^2}{x \log (x)-3}","\frac{4 x^2}{3-x \log (x)}+4 \log ^2(x+5)",1,"(-4*x^2)/(-3 + x*Log[x]) + 4*Log[5 + x]^2","A",1
9374,1,24,22,0.0097369,"\int \frac{e^8 (8+16 x) \log (5)}{16+e^{16}+128 x+384 x^2+512 x^3+256 x^4+e^8 \left(8+32 x+32 x^2\right)} \, dx","Integrate[(E^8*(8 + 16*x)*Log[5])/(16 + E^16 + 128*x + 384*x^2 + 512*x^3 + 256*x^4 + E^8*(8 + 32*x + 32*x^2)),x]","-\frac{e^8 \log (5)}{2 \left(4 (2 x+1)^2+e^8\right)}","\frac{\log (5)}{\log \left(e^{\frac{2 e^8}{(4 x+2)^2}}\right)+2}",1,"-1/2*(E^8*Log[5])/(E^8 + 4*(1 + 2*x)^2)","A",1
9375,1,27,28,0.287373,"\int \frac{-48-470 x-378 x^2+30 x^3+50 x^4+\left(-48-16 x+216 x^2-240 x^3-200 x^4\right) \log (x)}{-1728-33264 x-181611 x^2-200033 x^3+5697 x^4+79731 x^5+10255 x^6-11475 x^7-1125 x^8+625 x^9} \, dx","Integrate[(-48 - 470*x - 378*x^2 + 30*x^3 + 50*x^4 + (-48 - 16*x + 216*x^2 - 240*x^3 - 200*x^4)*Log[x])/(-1728 - 33264*x - 181611*x^2 - 200033*x^3 + 5697*x^4 + 79731*x^5 + 10255*x^6 - 11475*x^7 - 1125*x^8 + 625*x^9),x]","\frac{2 x \log (x)}{(x-3)^2 \left(25 x^3+90 x^2+81 x+8\right)}","\frac{x \log (x)}{4 (x-3)^2 \left(\frac{1}{8} x (5 x+9)^2+1\right)}",1,"(2*x*Log[x])/((-3 + x)^2*(8 + 81*x + 90*x^2 + 25*x^3))","A",1
9376,1,42,20,0.02,"\int \frac{-9025-190 x-x^2+\left(190 x+2 x^2\right) \log (x)+(-950-10 x) \log ^2(x)-10 x \log ^3(x)+75 \log ^4(x)}{25 x \log ^2(x)} \, dx","Integrate[(-9025 - 190*x - x^2 + (190*x + 2*x^2)*Log[x] + (-950 - 10*x)*Log[x]^2 - 10*x*Log[x]^3 + 75*Log[x]^4)/(25*x*Log[x]^2),x]","\frac{x^2}{25 \log (x)}+\log ^3(x)-\frac{2}{5} x \log (x)-38 \log (x)+\frac{38 x}{5 \log (x)}+\frac{361}{\log (x)}","\frac{\left(\frac{x}{5}-\log ^2(x)+19\right)^2}{\log (x)}",1,"361/Log[x] + (38*x)/(5*Log[x]) + x^2/(25*Log[x]) - 38*Log[x] - (2*x*Log[x])/5 + Log[x]^3","B",1
9377,1,43,28,0.0335925,"\int \frac{1}{4} \left((3-10 x+(3-2 x) \log (3)) \log (4)+(-4-4 \log (3)) \log (4) \log (x)+(1+\log (3)) \log (4) \log ^2(x)\right) \, dx","Integrate[((3 - 10*x + (3 - 2*x)*Log[3])*Log[4] + (-4 - 4*Log[3])*Log[4]*Log[x] + (1 + Log[3])*Log[4]*Log[x]^2)/4,x]","\frac{1}{4} \log (4) \left(-\frac{1}{2} x^2 (10+\log (9))+x (1+\log (3)) \log ^2(x)-6 x (1+\log (3)) \log (x)+x (9+\log (19683))\right)","x \log (4) \left(\frac{1}{4} (1+\log (3)) \left((3-\log (x))^2-x\right)-x\right)",1,"(Log[4]*(-1/2*(x^2*(10 + Log[9])) + x*(9 + Log[19683]) - 6*x*(1 + Log[3])*Log[x] + x*(1 + Log[3])*Log[x]^2))/4","A",1
9378,1,26,25,0.8388318,"\int \frac{e^{\frac{-9+6 x+x^2}{9 x}} \left(9+x^2\right)+\left(63 x-9 e^{\frac{-9+6 x+x^2}{9 x}} x\right) \log \left(7-e^{\frac{-9+6 x+x^2}{9 x}}\right) \log \left(\log \left(7-e^{\frac{-9+6 x+x^2}{9 x}}\right)\right)}{\left(-63 x^3+9 e^{\frac{-9+6 x+x^2}{9 x}} x^3\right) \log \left(7-e^{\frac{-9+6 x+x^2}{9 x}}\right)} \, dx","Integrate[(E^((-9 + 6*x + x^2)/(9*x))*(9 + x^2) + (63*x - 9*E^((-9 + 6*x + x^2)/(9*x))*x)*Log[7 - E^((-9 + 6*x + x^2)/(9*x))]*Log[Log[7 - E^((-9 + 6*x + x^2)/(9*x))]])/((-63*x^3 + 9*E^((-9 + 6*x + x^2)/(9*x))*x^3)*Log[7 - E^((-9 + 6*x + x^2)/(9*x))]),x]","\frac{\log \left(\log \left(7-e^{\frac{x}{9}-\frac{1}{x}+\frac{2}{3}}\right)\right)}{x}","\frac{\log \left(\log \left(7-e^{\frac{x+6}{9}-\frac{1}{x}}\right)\right)}{x}",1,"Log[Log[7 - E^(2/3 - x^(-1) + x/9)]]/x","A",1
9379,1,18,21,0.0056657,"\int \frac{2+4 x}{e^2 \left(5 x^2+10 x^3+5 x^4\right)} \, dx","Integrate[(2 + 4*x)/(E^2*(5*x^2 + 10*x^3 + 5*x^4)),x]","\frac{2 \left(\frac{1}{x+1}-\frac{1}{x}\right)}{5 e^2}","\frac{2 x}{5 e^2 \left(x-x \left(x^2+x+1\right)\right)}",1,"(2*(-x^(-1) + (1 + x)^(-1)))/(5*E^2)","A",1
9380,1,16,13,0.0037405,"\int \frac{-15+30 x+45 \log (5)}{e^2} \, dx","Integrate[(-15 + 30*x + 45*Log[5])/E^2,x]","\frac{15 \left(x^2-x+x \log (125)\right)}{e^2}","\frac{15 x (x-1+3 \log (5))}{e^2}",1,"(15*(-x + x^2 + x*Log[125]))/E^2","A",1
9381,1,34,22,0.0068931,"\int \frac{1}{25} \left(25-1350 x-1000 e^4 x-300 e^8 x-40 e^{12} x-2 e^{16} x-75 x^2\right) \, dx","Integrate[(25 - 1350*x - 1000*E^4*x - 300*E^8*x - 40*E^12*x - 2*E^16*x - 75*x^2)/25,x]","-x^3-\frac{1}{25} \left(675+500 e^4+150 e^8+20 e^{12}+e^{16}\right) x^2+x","-\left(\left(x+\frac{1}{25} \left(5+e^4\right)^4+2\right) x^2\right)+x+4",1,"x - ((675 + 500*E^4 + 150*E^8 + 20*E^12 + E^16)*x^2)/25 - x^3","A",1
9382,1,31,25,0.9749034,"\int \left(20 x^3+9 e^{10-2 e^x-2 x} \left(10 x-10 x^2-10 e^x x^2\right)+3 e^{5-e^x-x} \left(30 x^2-10 x^3-10 e^x x^3\right)\right) \, dx","Integrate[20*x^3 + 9*E^(10 - 2*E^x - 2*x)*(10*x - 10*x^2 - 10*E^x*x^2) + 3*E^(5 - E^x - x)*(30*x^2 - 10*x^3 - 10*E^x*x^3),x]","5 e^{-2 \left(x+e^x\right)} x^2 \left(e^{x+e^x} x+3 e^5\right)^2","5 \left(-x^2-3 e^{-x-e^x+5} x\right)^2",1,"(5*x^2*(3*E^5 + E^(E^x + x)*x)^2)/E^(2*(E^x + x))","A",1
9383,1,28,28,0.0337276,"\int \frac{e^2+\left(-2 x-8 x^2+6 x^3+e^x (2 x+e x)+e \left(-x-4 x^2+3 x^3\right)\right) \log ^2(x)}{x \log ^2(x)} \, dx","Integrate[(E^2 + (-2*x - 8*x^2 + 6*x^3 + E^x*(2*x + E*x) + E*(-x - 4*x^2 + 3*x^3))*Log[x]^2)/(x*Log[x]^2),x]","(2+e) \left(x \left(x^2-2 x-1\right)+e^x\right)-\frac{e^2}{\log (x)}","(2+e) \left((x-2) x^2-x+e^x\right)-\frac{e^2}{\log (x)}",1,"(2 + E)*(E^x + x*(-1 - 2*x + x^2)) - E^2/Log[x]","A",1
9384,1,29,32,0.0108863,"\int \frac{-1+7 x^2-2 x^4-x \log \left(2 e^{\frac{1+x^2}{x}}\right)}{3 x^3} \, dx","Integrate[(-1 + 7*x^2 - 2*x^4 - x*Log[2*E^((1 + x^2)/x)])/(3*x^3),x]","-\frac{x^2}{3}+2 \log (x)+\frac{\log \left(2 e^{x+\frac{1}{x}}\right)}{3 x}","\frac{1}{3} \left(\frac{x+\log \left(2 e^{x+\frac{1}{x}}\right)}{x}-x^2\right)+\log \left(x^2\right)-2",1,"-1/3*x^2 + Log[2*E^(x^(-1) + x)]/(3*x) + 2*Log[x]","A",1
9385,1,25,27,1.1971927,"\int \frac{e^{4+2 e^{-\frac{1}{-4+x}}+16 \log ^2(x)} \left(-32+16 x+2 e^{-\frac{1}{-4+x}} x-2 x^2+\left(512-256 x+32 x^2\right) \log (x)\right)}{16 x^3-8 x^4+x^5} \, dx","Integrate[(E^(4 + 2/E^(-4 + x)^(-1) + 16*Log[x]^2)*(-32 + 16*x + (2*x)/E^(-4 + x)^(-1) - 2*x^2 + (512 - 256*x + 32*x^2)*Log[x]))/(16*x^3 - 8*x^4 + x^5),x]","\frac{e^{2 e^{-\frac{1}{x-4}}+16 \log ^2(x)+4}}{x^2}","\frac{e^{2 e^{\frac{1}{4-x}}+16 \log ^2(x)+4}}{x^2}-5",1,"E^(4 + 2/E^(-4 + x)^(-1) + 16*Log[x]^2)/x^2","A",1
9386,1,30,23,0.0946233,"\int \frac{-4 x^4+2 x^5+\left(16 x+8 x^2+e^8 \left(4 x+2 x^2\right)+e^4 \left(16 x+8 x^2\right)\right) \log (5)+\left(4 x^3-2 x^4+\left(-16+e^4 (-16-8 x)+e^8 (-4-2 x)-8 x\right) \log (5)\right) \log \left(\frac{-x^2+x^3+\left(4+4 e^4+e^8\right) \log (5)}{x^2}\right)}{-x^3+x^4+\left(4 x+4 e^4 x+e^8 x\right) \log (5)} \, dx","Integrate[(-4*x^4 + 2*x^5 + (16*x + 8*x^2 + E^8*(4*x + 2*x^2) + E^4*(16*x + 8*x^2))*Log[5] + (4*x^3 - 2*x^4 + (-16 + E^4*(-16 - 8*x) + E^8*(-4 - 2*x) - 8*x)*Log[5])*Log[(-x^2 + x^3 + (4 + 4*E^4 + E^8)*Log[5])/x^2])/(-x^3 + x^4 + (4*x + 4*E^4*x + E^8*x)*Log[5]),x]","\left(x-\log \left(\frac{x^3-x^2+\left(2+e^4\right)^2 \log (5)}{x^2}\right)\right)^2","\left(\log \left(\frac{\left(2+e^4\right)^2 \log (5)}{x^2}+x-1\right)-x\right)^2",1,"(x - Log[(-x^2 + x^3 + (2 + E^4)^2*Log[5])/x^2])^2","A",1
9387,1,33,27,0.0388367,"\int \frac{e^{-e^4} \left(-e^3 x^3+e^{10} (-1+3 x)+4 e^{10} \log (x)\right)}{x^5} \, dx","Integrate[(-(E^3*x^3) + E^10*(-1 + 3*x) + 4*E^10*Log[x])/(E^E^4*x^5),x]","-e^{3-e^4} \left(\frac{e^7 \log (x)}{x^4}+\frac{e^7}{x^3}-\frac{1}{x}\right)","\frac{e^{-e^4} \left(e^3-\frac{e^{10} (x+\log (x))}{x^3}\right)}{x}",1,"-(E^(3 - E^4)*(E^7/x^3 - x^(-1) + (E^7*Log[x])/x^4))","A",1
9388,1,24,24,0.1681544,"\int \frac{e^{\frac{e}{\log \left(\frac{3+e^{8+x}}{e^8}\right)}} \left(e^{8+x} \left(-24 e-e^3 x\right)+\left(3 e^2+e^{10+x}\right) \log ^2\left(\frac{3+e^{8+x}}{e^8}\right)\right)}{\left(3+e^{8+x}\right) \log ^2\left(\frac{3+e^{8+x}}{e^8}\right)} \, dx","Integrate[(E^(E/Log[(3 + E^(8 + x))/E^8])*(E^(8 + x)*(-24*E - E^3*x) + (3*E^2 + E^(10 + x))*Log[(3 + E^(8 + x))/E^8]^2))/((3 + E^(8 + x))*Log[(3 + E^(8 + x))/E^8]^2),x]","\left(e^2 x+24\right) e^{\frac{e}{\log \left(e^{x+8}+3\right)-8}}","\left(e^2 x+24\right) e^{\frac{e}{\log \left(e^x+\frac{3}{e^8}\right)}}",1,"E^(E/(-8 + Log[3 + E^(8 + x)]))*(24 + E^2*x)","A",1
9389,1,22,21,0.0061556,"\int \frac{-5196890+1036324 \log (3)}{19431075+30540 x+12 x^2+(-7772430-6108 x) \log (3)+777243 \log ^2(3)} \, dx","Integrate[(-5196890 + 1036324*Log[3])/(19431075 + 30540*x + 12*x^2 + (-7772430 - 6108*x)*Log[3] + 777243*Log[3]^2),x]","-\frac{509 (1018 \log (3)-5105)}{3 (2 x-509 (\log (3)-5))}","\frac{5-\frac{4 x}{3}}{\frac{2 x}{509}+5-\log (3)}",1,"(-509*(-5105 + 1018*Log[3]))/(3*(2*x - 509*(-5 + Log[3])))","A",1
9390,1,44,25,0.1199536,"\int \frac{-500-80 x^2+\left(-250+100 x-40 x^2+16 x^3\right) \log (x)}{\left(-5000 x+5600 x^2-2160 x^3+288 x^4\right) \log (2)+\left(-500 x+400 x^2-80 x^3\right) \log (2) \log (x)+\left(-125 x+150 x^2-60 x^3+8 x^4\right) \log (2) \log ^2(x)+\left(-5000 x+5600 x^2-2160 x^3+288 x^4+\left(-500 x+400 x^2-80 x^3\right) \log (x)+\left(-125 x+150 x^2-60 x^3+8 x^4\right) \log ^2(x)\right) \log \left(\frac{1000-720 x+144 x^2+(100-40 x) \log (x)+\left(25-20 x+4 x^2\right) \log ^2(x)}{100-80 x+16 x^2}\right)} \, dx","Integrate[(-500 - 80*x^2 + (-250 + 100*x - 40*x^2 + 16*x^3)*Log[x])/((-5000*x + 5600*x^2 - 2160*x^3 + 288*x^4)*Log[2] + (-500*x + 400*x^2 - 80*x^3)*Log[2]*Log[x] + (-125*x + 150*x^2 - 60*x^3 + 8*x^4)*Log[2]*Log[x]^2 + (-5000*x + 5600*x^2 - 2160*x^3 + 288*x^4 + (-500*x + 400*x^2 - 80*x^3)*Log[x] + (-125*x + 150*x^2 - 60*x^3 + 8*x^4)*Log[x]^2)*Log[(1000 - 720*x + 144*x^2 + (100 - 40*x)*Log[x] + (25 - 20*x + 4*x^2)*Log[x]^2)/(100 - 80*x + 16*x^2)]),x]","\log \left(\log \left(\frac{2 \left(18 x^2-90 x+125\right)}{(5-2 x)^2}+\frac{\log ^2(x)}{4}+\frac{5 \log (x)}{5-2 x}\right)+\log (2)\right)","\log \left(\log \left(\left(\frac{1}{1-\frac{2 x}{5}}+\frac{\log (x)}{2}\right)^2+9\right)+\log (2)\right)",1,"Log[Log[2] + Log[(2*(125 - 90*x + 18*x^2))/(5 - 2*x)^2 + (5*Log[x])/(5 - 2*x) + Log[x]^2/4]]","A",1
9391,1,24,21,0.0807,"\int \frac{1}{8} e^{2 x} \left(729 x+1053 x^2-184 x^3-280 x^4+16 x^5+16 x^6\right) \, dx","Integrate[(E^(2*x)*(729*x + 1053*x^2 - 184*x^3 - 280*x^4 + 16*x^5 + 16*x^6))/8,x]","\frac{1}{16} e^{2 x} x^2 \left(-4 x^2+4 x+27\right)^2","e^{2 x} x^2 \left(-x^2+x+\frac{27}{4}\right)^2",1,"(E^(2*x)*x^2*(27 + 4*x - 4*x^2)^2)/16","A",1
9392,1,21,21,1.4903943,"\int \frac{98 x+308 x^2+242 x^3+e^{\frac{1}{7 x+11 x^2}} \left(49 x+154 x^2+121 x^3\right)+\left(98 x+308 x^2+242 x^3+e^{\frac{1}{7 x+11 x^2}} \left(7+71 x+154 x^2+121 x^3\right)\right) \log (x)}{196 x+616 x^2+484 x^3+e^{\frac{2}{7 x+11 x^2}} \left(49 x+154 x^2+121 x^3\right)+e^{\frac{1}{7 x+11 x^2}} \left(196 x+616 x^2+484 x^3\right)} \, dx","Integrate[(98*x + 308*x^2 + 242*x^3 + E^(7*x + 11*x^2)^(-1)*(49*x + 154*x^2 + 121*x^3) + (98*x + 308*x^2 + 242*x^3 + E^(7*x + 11*x^2)^(-1)*(7 + 71*x + 154*x^2 + 121*x^3))*Log[x])/(196*x + 616*x^2 + 484*x^3 + E^(2/(7*x + 11*x^2))*(49*x + 154*x^2 + 121*x^3) + E^(7*x + 11*x^2)^(-1)*(196*x + 616*x^2 + 484*x^3)),x]","\frac{x \log (x)}{e^{\frac{1}{11 x^2+7 x}}+2}","\frac{x \log (x)}{e^{\frac{1}{x (11 x+7)}}+2}",1,"(x*Log[x])/(2 + E^(7*x + 11*x^2)^(-1))","A",1
9393,1,32,30,0.0713281,"\int \frac{6 \log (5)+e^x \left(-27-18 x \log (5)-3 x^2 \log ^2(5)\right)}{\left(96+62 x \log (5)+10 x^2 \log ^2(5)+e^x \left(9+6 x \log (5)+x^2 \log ^2(5)\right)\right) \log \left(\frac{32+10 x \log (5)+e^x (3+x \log (5))}{3+x \log (5)}\right) \log ^2\left(\log \left(\frac{32+10 x \log (5)+e^x (3+x \log (5))}{3+x \log (5)}\right)\right)} \, dx","Integrate[(6*Log[5] + E^x*(-27 - 18*x*Log[5] - 3*x^2*Log[5]^2))/((96 + 62*x*Log[5] + 10*x^2*Log[5]^2 + E^x*(9 + 6*x*Log[5] + x^2*Log[5]^2))*Log[(32 + 10*x*Log[5] + E^x*(3 + x*Log[5]))/(3 + x*Log[5])]*Log[Log[(32 + 10*x*Log[5] + E^x*(3 + x*Log[5]))/(3 + x*Log[5])]]^2),x]","\frac{3}{\log \left(\log \left(\frac{10 x \log (5)+e^x (x \log (5)+3)+32}{x \log (5)+3}\right)\right)}","\frac{3}{\log \left(\log \left(e^x+\frac{2}{x \left(\frac{3}{x}+\log (5)\right)}+10\right)\right)}+e^4",1,"3/Log[Log[(32 + 10*x*Log[5] + E^x*(3 + x*Log[5]))/(3 + x*Log[5])]]","A",1
9394,1,12,13,0.003385,"\int \frac{1+2 x}{\left(x+x^2\right) \log ^2(4)} \, dx","Integrate[(1 + 2*x)/((x + x^2)*Log[4]^2),x]","\frac{\log (x)+\log (x+1)}{\log ^2(4)}","\frac{\log \left(12 \left(x^2+x\right)\right)}{\log ^2(4)}",1,"(Log[x] + Log[1 + x])/Log[4]^2","A",1
9395,1,23,23,0.5615165,"\int \frac{e^{-\frac{8}{4 x+e^{\frac{x^2}{5}} x}} \left(640+320 x+20 e^{\frac{2 x^2}{5}} x+e^{\frac{x^2}{5}} \left(160+160 x+64 x^2\right)\right)}{80 x+40 e^{\frac{x^2}{5}} x+5 e^{\frac{2 x^2}{5}} x} \, dx","Integrate[(640 + 320*x + 20*E^((2*x^2)/5)*x + E^(x^2/5)*(160 + 160*x + 64*x^2))/(E^(8/(4*x + E^(x^2/5)*x))*(80*x + 40*E^(x^2/5)*x + 5*E^((2*x^2)/5)*x)),x]","4 e^{-\frac{8}{\left(e^{\frac{x^2}{5}}+4\right) x}} x","4 e^{-\frac{8}{\left(e^{\frac{x^2}{5}}+4\right) x}} x",1,"(4*x)/E^(8/((4 + E^(x^2/5))*x))","A",1
9396,1,14,16,0.0000848,"\int \left(-6+2 x+6 x^2 \log (16)\right) \, dx","Integrate[-6 + 2*x + 6*x^2*Log[16],x]","2 x^3 \log (16)+x^2-6 x","2 x^3 \log (16)+(3-x)^2+5",1,"-6*x + x^2 + 2*x^3*Log[16]","A",1
9397,1,87,22,0.3664426,"\int \frac{-16 e^{\frac{16}{\log (x)}}+\left(-3365 x+149462 x^2-2478498 x^3+19518724 x^4\right) \log ^2(x)+e^{\frac{12}{\log (x)}} \left(96-2256 x+188 x \log ^2(x)\right)+e^{\frac{8}{\log (x)}} \left(-272+9008 x-106032 x^2+\left(-1126 x+26508 x^2\right) \log ^2(x)\right)+e^{\frac{4}{\log (x)}} \left(288-12752 x+211312 x^2-1661168 x^3+\left(3188 x-105656 x^2+1245876 x^3\right) \log ^2(x)\right)}{x \log ^2(x)} \, dx","Integrate[(-16*E^(16/Log[x]) + (-3365*x + 149462*x^2 - 2478498*x^3 + 19518724*x^4)*Log[x]^2 + E^(12/Log[x])*(96 - 2256*x + 188*x*Log[x]^2) + E^(8/Log[x])*(-272 + 9008*x - 106032*x^2 + (-1126*x + 26508*x^2)*Log[x]^2) + E^(4/Log[x])*(288 - 12752*x + 211312*x^2 - 1661168*x^3 + (3188*x - 105656*x^2 + 1245876*x^3)*Log[x]^2))/(x*Log[x]^2),x]","4879681 x^4-826166 x^3+74731 x^2-\left(72-4 x \left(103823 x^2-13207 x+797\right)\right) e^{\frac{4}{\log (x)}}-3365 x+e^{\frac{16}{\log (x)}}-(8-188 x) e^{\frac{12}{\log (x)}}-(-2 x (6627 x-563)-34) e^{\frac{8}{\log (x)}}","x+\left(x+\left(47 x+e^{\frac{4}{\log (x)}}-2\right)^2+5\right)^2",1,"E^(16/Log[x]) - E^(12/Log[x])*(8 - 188*x) - 3365*x + 74731*x^2 - 826166*x^3 + 4879681*x^4 - E^(8/Log[x])*(-34 - 2*x*(-563 + 6627*x)) - E^(4/Log[x])*(72 - 4*x*(797 - 13207*x + 103823*x^2))","B",1
9398,1,14,18,0.0000754,"\int 6 e^{e^3 (20+8 e)} \, dx","Integrate[6*E^(E^3*(20 + 8*E)),x]","6 e^{e^3 (20+8 e)} x","6 e^{\left(8+\frac{20}{e}\right) e^4} x+3",1,"6*E^(E^3*(20 + 8*E))*x","A",1
9399,1,31,26,0.1578458,"\int \frac{2+2 x+5 x^3-10 x^4+15 x^5-20 x^6+\left(10 x^2-20 x^3+30 x^4-40 x^5\right) \log (x)+\left(5 x-10 x^2+15 x^3-20 x^4\right) \log ^2(x)}{5 x^3+10 x^2 \log (x)+5 x \log ^2(x)} \, dx","Integrate[(2 + 2*x + 5*x^3 - 10*x^4 + 15*x^5 - 20*x^6 + (10*x^2 - 20*x^3 + 30*x^4 - 40*x^5)*Log[x] + (5*x - 10*x^2 + 15*x^3 - 20*x^4)*Log[x]^2)/(5*x^3 + 10*x^2*Log[x] + 5*x*Log[x]^2),x]","\frac{1}{5} \left(-5 x^4+5 x^3-5 x^2+5 x-\frac{2}{x+\log (x)}\right)","-x^4+x^3-x^2+x-\frac{2}{5 (x+\log (x))}-3",1,"(5*x - 5*x^2 + 5*x^3 - 5*x^4 - 2/(x + Log[x]))/5","A",1
9400,1,67,37,1.0850905,"\int \frac{-5625-2625 x^2-250 x^4+\exp \left(\frac{2 \left(25 x^4-10 x^5+x^6\right)}{25-10 e^x x+e^{2 x} x^2}\right) \left(-250+150 e^x x-30 e^{2 x} x^2+2 e^{3 x} x^3\right)+e^x \left(3375 x+1575 x^3+150 x^5\right)+e^{2 x} \left(-675 x^2-315 x^4-30 x^6\right)+e^{3 x} \left(45 x^3+21 x^5+2 x^7\right)+e^{\frac{25 x^4-10 x^5+x^6}{25-10 e^x x+e^{2 x} x^2}} \left(-2375-500 x^2-500 x^4+250 x^5-30 x^6+e^{2 x} \left(-285 x^2-60 x^4\right)+e^{3 x} \left(19 x^3+4 x^5\right)+e^x \left(1425 x+300 x^3+50 x^5-80 x^6+24 x^7-2 x^8\right)\right)}{-3125-1250 x^2-125 x^4+\exp \left(\frac{2 \left(25 x^4-10 x^5+x^6\right)}{25-10 e^x x+e^{2 x} x^2}\right) \left(-125+75 e^x x-15 e^{2 x} x^2+e^{3 x} x^3\right)+e^x \left(1875 x+750 x^3+75 x^5\right)+e^{2 x} \left(-375 x^2-150 x^4-15 x^6\right)+e^{3 x} \left(25 x^3+10 x^5+x^7\right)+e^{\frac{25 x^4-10 x^5+x^6}{25-10 e^x x+e^{2 x} x^2}} \left(-1250-250 x^2+e^x \left(750 x+150 x^3\right)+e^{2 x} \left(-150 x^2-30 x^4\right)+e^{3 x} \left(10 x^3+2 x^5\right)\right)} \, dx","Integrate[(-5625 - 2625*x^2 - 250*x^4 + E^((2*(25*x^4 - 10*x^5 + x^6))/(25 - 10*E^x*x + E^(2*x)*x^2))*(-250 + 150*E^x*x - 30*E^(2*x)*x^2 + 2*E^(3*x)*x^3) + E^x*(3375*x + 1575*x^3 + 150*x^5) + E^(2*x)*(-675*x^2 - 315*x^4 - 30*x^6) + E^(3*x)*(45*x^3 + 21*x^5 + 2*x^7) + E^((25*x^4 - 10*x^5 + x^6)/(25 - 10*E^x*x + E^(2*x)*x^2))*(-2375 - 500*x^2 - 500*x^4 + 250*x^5 - 30*x^6 + E^(2*x)*(-285*x^2 - 60*x^4) + E^(3*x)*(19*x^3 + 4*x^5) + E^x*(1425*x + 300*x^3 + 50*x^5 - 80*x^6 + 24*x^7 - 2*x^8)))/(-3125 - 1250*x^2 - 125*x^4 + E^((2*(25*x^4 - 10*x^5 + x^6))/(25 - 10*E^x*x + E^(2*x)*x^2))*(-125 + 75*E^x*x - 15*E^(2*x)*x^2 + E^(3*x)*x^3) + E^x*(1875*x + 750*x^3 + 75*x^5) + E^(2*x)*(-375*x^2 - 150*x^4 - 15*x^6) + E^(3*x)*(25*x^3 + 10*x^5 + x^7) + E^((25*x^4 - 10*x^5 + x^6)/(25 - 10*E^x*x + E^(2*x)*x^2))*(-1250 - 250*x^2 + E^x*(750*x + 150*x^3) + E^(2*x)*(-150*x^2 - 30*x^4) + E^(3*x)*(10*x^3 + 2*x^5))),x]","x \left(2-\frac{e^{\frac{10 x^5}{\left(e^x x-5\right)^2}}}{e^{\frac{10 x^5}{\left(e^x x-5\right)^2}} \left(x^2+5\right)+e^{\frac{x^4 \left(x^2+25\right)}{\left(e^x x-5\right)^2}}}\right)","2 x-\frac{x}{e^{\frac{(5-x)^2 x^4}{\left(5-e^x x\right)^2}}+x^2+5}",1,"x*(2 - E^((10*x^5)/(-5 + E^x*x)^2)/(E^((x^4*(25 + x^2))/(-5 + E^x*x)^2) + E^((10*x^5)/(-5 + E^x*x)^2)*(5 + x^2)))","A",1
9401,1,16,20,0.010767,"\int \left(e^{5 x} (1+5 x)+e^x (-1-x) \log (4)\right) \, dx","Integrate[E^(5*x)*(1 + 5*x) + E^x*(-1 - x)*Log[4],x]","e^{5 x} x-e^x x \log (4)","x \left(e^{5 x}+\frac{3}{x}-e^x \log (4)\right)",1,"E^(5*x)*x - E^x*x*Log[4]","A",1
9402,1,22,15,0.0805234,"\int \frac{2 e^{5/2} x^2+e^{5/4} \left(2 x+2 x^2\right)+\left(2+4 x+2 x^2+e^{5/4} \left(2 x+4 x^2\right)\right) \log (x)+\left(2 x+2 x^2\right) \log ^2(x)}{e^{5/2} x} \, dx","Integrate[(2*E^(5/2)*x^2 + E^(5/4)*(2*x + 2*x^2) + (2 + 4*x + 2*x^2 + E^(5/4)*(2*x + 4*x^2))*Log[x] + (2*x + 2*x^2)*Log[x]^2)/(E^(5/2)*x),x]","\frac{\left(e^{5/4} x+(x+1) \log (x)\right)^2}{e^{5/2}}","\left(x+\frac{(x+1) \log (x)}{e^{5/4}}\right)^2",1,"(E^(5/4)*x + (1 + x)*Log[x])^2/E^(5/2)","A",1
9403,1,19,20,0.5873362,"\int \frac{e^{5+\frac{e^5}{-3-x-x^2+\log (5)}} (1+2 x)}{9+6 x+7 x^2+2 x^3+x^4+\left(-6-2 x-2 x^2\right) \log (5)+\log ^2(5)} \, dx","Integrate[(E^(5 + E^5/(-3 - x - x^2 + Log[5]))*(1 + 2*x))/(9 + 6*x + 7*x^2 + 2*x^3 + x^4 + (-6 - 2*x - 2*x^2)*Log[5] + Log[5]^2),x]","e^{-\frac{e^5}{x^2+x+3-\log (5)}}","e^{\frac{e^5}{-x^2-x-3+\log (5)}}",1,"E^(-(E^5/(3 + x + x^2 - Log[5])))","A",1
9404,1,12,12,0.0051545,"\int \frac{-96+32 x+x^2}{-3 x^2+x^3} \, dx","Integrate[(-96 + 32*x + x^2)/(-3*x^2 + x^3),x]","\log (3-x)-\frac{32}{x}","\log (3-x)-\frac{32}{x}",1,"-32/x + Log[3 - x]","A",1
9405,1,23,24,0.2452718,"\int \frac{74919334050 x+2360474820 x^2+27882962 x^3+146352 x^4+288 x^5+e^{\frac{x}{193545+3049 x+12 x^2}} \left(149838668100+4721723820 x+55765924 x^2+292656 x^3+576 x^4\right)}{37459667025+1180237410 x+13941481 x^2+73176 x^3+144 x^4} \, dx","Integrate[(74919334050*x + 2360474820*x^2 + 27882962*x^3 + 146352*x^4 + 288*x^5 + E^(x/(193545 + 3049*x + 12*x^2))*(149838668100 + 4721723820*x + 55765924*x^2 + 292656*x^3 + 576*x^4))/(37459667025 + 1180237410*x + 13941481*x^2 + 73176*x^3 + 144*x^4),x]","x^2+4 e^{\frac{x}{12 x^2+3049 x+193545}} x","x \left(x+4 e^{\frac{x}{3 (-2 x-254)^2+x-3}}\right)",1,"4*E^(x/(193545 + 3049*x + 12*x^2))*x + x^2","A",1
9406,1,38,35,0.1008837,"\int \frac{-600-390 x+30 x^2+600 x^3+660 x^4+90 x^5-105 x^6-30 x^7}{-800 x-240 x^2+72 x^3+3196 x^4+4160 x^5+1472 x^6-32 x^7-56 x^8+4 x^9+\left(-400 x-160 x^2+20 x^3+1600 x^4+2240 x^5+960 x^6+80 x^7-20 x^8\right) \log \left(\frac{4 x^4+4 x^5+x^6}{-1+4 x^3+4 x^4+x^5}\right)+\left(-50 x-25 x^2+200 x^4+300 x^5+150 x^6+25 x^7\right) \log ^2\left(\frac{4 x^4+4 x^5+x^6}{-1+4 x^3+4 x^4+x^5}\right)} \, dx","Integrate[(-600 - 390*x + 30*x^2 + 600*x^3 + 660*x^4 + 90*x^5 - 105*x^6 - 30*x^7)/(-800*x - 240*x^2 + 72*x^3 + 3196*x^4 + 4160*x^5 + 1472*x^6 - 32*x^7 - 56*x^8 + 4*x^9 + (-400*x - 160*x^2 + 20*x^3 + 1600*x^4 + 2240*x^5 + 960*x^6 + 80*x^7 - 20*x^8)*Log[(4*x^4 + 4*x^5 + x^6)/(-1 + 4*x^3 + 4*x^4 + x^5)] + (-50*x - 25*x^2 + 200*x^4 + 300*x^5 + 150*x^6 + 25*x^7)*Log[(4*x^4 + 4*x^5 + x^6)/(-1 + 4*x^3 + 4*x^4 + x^5)]^2),x]","-\frac{15}{5 \log \left(\frac{x^4 (x+2)^2}{x^5+4 x^4+4 x^3-1}\right)-2 x+20}","\frac{5}{\frac{2 x}{3}-\frac{5}{3} \left(\log \left(\frac{x^2}{x-\frac{1}{x^2 (x+2)^2}}\right)+4\right)}",1,"-15/(20 - 2*x + 5*Log[(x^4*(2 + x)^2)/(-1 + 4*x^3 + 4*x^4 + x^5)])","A",1
9407,1,24,26,0.0707914,"\int \left(2-15 e^{3 x}+e^{260+e^4-32 x+x^2} (-32+2 x)\right) \, dx","Integrate[2 - 15*E^(3*x) + E^(260 + E^4 - 32*x + x^2)*(-32 + 2*x),x]","e^{x^2-32 x+e^4+260}+2 x-5 e^{3 x}","2 x+e^{(16-x)^2+e^4+4}-5 e^{3 x}+8",1,"-5*E^(3*x) + E^(260 + E^4 - 32*x + x^2) + 2*x","A",1
9408,1,113,21,5.1493673,"\int \frac{-5+320 x-720 x^2+240 x^3-20 x^4+\left(680 x-320 x^2+30 x^3\right) \log (2)+\left(80 x-10 x^2\right) \log ^2(2)}{256 x-2048 x^2+6400 x^3-9728 x^4+7264 x^5-2432 x^6+400 x^7-32 x^8+x^9+\left(2048 x-12544 x^2+27648 x^3-25792 x^4+9344 x^5-1584 x^6+128 x^7-4 x^8\right) \log (2)+\left(6144 x-26112 x^2+33888 x^3-13440 x^4+2352 x^5-192 x^6+6 x^7\right) \log ^2(2)+\left(8192 x-19456 x^2+8576 x^3-1552 x^4+128 x^5-4 x^6\right) \log ^3(2)+\left(4096 x-2048 x^2+384 x^3-32 x^4+x^5\right) \log ^4(2)+\left(32 x-128 x^2+144 x^3-32 x^4+2 x^5+\left(128 x-272 x^2+64 x^3-4 x^4\right) \log (2)+\left(128 x-32 x^2+2 x^3\right) \log ^2(2)\right) \log (x)+x \log ^2(x)} \, dx","Integrate[(-5 + 320*x - 720*x^2 + 240*x^3 - 20*x^4 + (680*x - 320*x^2 + 30*x^3)*Log[2] + (80*x - 10*x^2)*Log[2]^2)/(256*x - 2048*x^2 + 6400*x^3 - 9728*x^4 + 7264*x^5 - 2432*x^6 + 400*x^7 - 32*x^8 + x^9 + (2048*x - 12544*x^2 + 27648*x^3 - 25792*x^4 + 9344*x^5 - 1584*x^6 + 128*x^7 - 4*x^8)*Log[2] + (6144*x - 26112*x^2 + 33888*x^3 - 13440*x^4 + 2352*x^5 - 192*x^6 + 6*x^7)*Log[2]^2 + (8192*x - 19456*x^2 + 8576*x^3 - 1552*x^4 + 128*x^5 - 4*x^6)*Log[2]^3 + (4096*x - 2048*x^2 + 384*x^3 - 32*x^4 + x^5)*Log[2]^4 + (32*x - 128*x^2 + 144*x^3 - 32*x^4 + 2*x^5 + (128*x - 272*x^2 + 64*x^3 - 4*x^4)*Log[2] + (128*x - 32*x^2 + 2*x^3)*Log[2]^2)*Log[x] + x*Log[x]^2),x]","-\frac{5 \left(-4 x^4+6 x^3 (8+\log (2))-2 x^2 \left(72+\log ^2(2)+32 \log (2)\right)+8 x \left(8+2 \log ^2(2)+17 \log (2)\right)-1\right)}{\left(4 x^4-6 x^3 (8+\log (2))+2 x^2 \left(72+\log ^2(2)+2 \log (65536)\right)-2 x (8+\log (2)) (4+\log (256))+1\right) \left(\left(x^2-x (8+\log (2))+4+\log (256)\right)^2+\log (x)\right)}","\frac{5}{((x-8) (\log (2)-x)-4)^2+\log (x)}",1,"(-5*(-1 - 4*x^4 + 6*x^3*(8 + Log[2]) - 2*x^2*(72 + 32*Log[2] + Log[2]^2) + 8*x*(8 + 17*Log[2] + 2*Log[2]^2)))/((1 + 4*x^4 - 6*x^3*(8 + Log[2]) - 2*x*(8 + Log[2])*(4 + Log[256]) + 2*x^2*(72 + Log[2]^2 + 2*Log[65536]))*((4 + x^2 - x*(8 + Log[2]) + Log[256])^2 + Log[x]))","B",0
9409,1,23,30,0.4520247,"\int \frac{e^{2 x+e^{x^2} x^2-4 x^3} \left(-5+10 x-60 x^3+e^{x^2} \left(10 x^2+10 x^4\right)\right)}{x^2} \, dx","Integrate[(E^(2*x + E^x^2*x^2 - 4*x^3)*(-5 + 10*x - 60*x^3 + E^x^2*(10*x^2 + 10*x^4)))/x^2,x]","\frac{5 e^{x \left(-4 x^2+e^{x^2} x+2\right)}}{x}","\frac{5 e^{-x \left(x \left(-e^{x^2}+4 x-\frac{3}{x}\right)+1\right)}}{x}",1,"(5*E^(x*(2 + E^x^2*x - 4*x^2)))/x","A",1
9410,1,49,33,0.2681831,"\int \frac{-4 x^2+2 e^{1+x} x^2-2 x^4+\left(4 x^2+6 x^4+e^{1+x} \left(-2 x^2-2 x^3\right)\right) \log (x)+\left(4-2 x^2+2 x^3+e^{1+x} \left(-2+2 x-x^2\right)\right) \log ^2(x)}{6 x^2 \log ^2(x)} \, dx","Integrate[(-4*x^2 + 2*E^(1 + x)*x^2 - 2*x^4 + (4*x^2 + 6*x^4 + E^(1 + x)*(-2*x^2 - 2*x^3))*Log[x] + (4 - 2*x^2 + 2*x^3 + E^(1 + x)*(-2 + 2*x - x^2))*Log[x]^2)/(6*x^2*Log[x]^2),x]","\frac{1}{6} \left(x^2+\frac{2 \left(x^2-e^{x+1}+2\right) x}{\log (x)}-2 x+e^x \left(\frac{2 e}{x}-e\right)-\frac{4}{x}\right)","\frac{1}{3} \left(x-\frac{e^{x+1}-2}{x}\right) \left(\frac{x^2}{\log (x)}+\frac{x}{2}-1\right)",1,"(E^x*(-E + (2*E)/x) - 4/x - 2*x + x^2 + (2*x*(2 - E^(1 + x) + x^2))/Log[x])/6","A",1
9411,1,31,35,0.2415504,"\int \frac{176+124 x+20 x^2+e^x \left(-88-62 x-10 x^2\right)+\left(88+256 x+134 x^2+20 x^3+e^x \left(-44-216 x-129 x^2-20 x^3\right)+e^{2 x} \left(44 x+31 x^2+5 x^3\right)\right) \log \left(x^2\right)+e^x \left(44 x+31 x^2+5 x^3\right) \log \left(x^2\right) \log \left(\frac{\left(22 x+10 x^2\right) \log \left(x^2\right)}{20+5 x}\right)}{\left(176 x+124 x^2+20 x^3+e^x \left(-176 x-124 x^2-20 x^3\right)+e^{2 x} \left(44 x+31 x^2+5 x^3\right)\right) \log \left(x^2\right)} \, dx","Integrate[(176 + 124*x + 20*x^2 + E^x*(-88 - 62*x - 10*x^2) + (88 + 256*x + 134*x^2 + 20*x^3 + E^x*(-44 - 216*x - 129*x^2 - 20*x^3) + E^(2*x)*(44*x + 31*x^2 + 5*x^3))*Log[x^2] + E^x*(44*x + 31*x^2 + 5*x^3)*Log[x^2]*Log[((22*x + 10*x^2)*Log[x^2])/(20 + 5*x)])/((176*x + 124*x^2 + 20*x^3 + E^x*(-176*x - 124*x^2 - 20*x^3) + E^(2*x)*(44*x + 31*x^2 + 5*x^3))*Log[x^2]),x]","x-\frac{\log \left(\frac{2 x (5 x+11) \log \left(x^2\right)}{5 (x+4)}\right)}{e^x-2}","\frac{\log \left(\left(x+\frac{\left(x-\frac{3}{5}\right) x+x}{x+4}\right) \log \left(x^2\right)\right)}{2-e^x}+x",1,"x - Log[(2*x*(11 + 5*x)*Log[x^2])/(5*(4 + x))]/(-2 + E^x)","A",1
9412,1,11,12,0.0012365,"\int \frac{1}{2} \left(2+e^x\right) \, dx","Integrate[(2 + E^x)/2,x]","\frac{1}{2} \left(2 x+e^x\right)","x+\frac{e^x}{2}+e^4",1,"(E^x + 2*x)/2","A",1
9413,1,29,27,0.6031629,"\int \frac{-100 e^{48} x \log (x)+200 e^{48} x \log ^2(x)+e^x (-100-100 x) \log ^3(x)}{-8 e^{144} x^6+\left(24 e^{96+x} x^5+12 e^{96} x^4 \log (3)\right) \log (x)+\left(-24 e^{48+2 x} x^4-24 e^{48+x} x^3 \log (3)-6 e^{48} x^2 \log ^2(3)\right) \log ^2(x)+\left(8 e^{3 x} x^3+12 e^{2 x} x^2 \log (3)+6 e^x x \log ^2(3)+\log ^3(3)\right) \log ^3(x)} \, dx","Integrate[(-100*E^48*x*Log[x] + 200*E^48*x*Log[x]^2 + E^x*(-100 - 100*x)*Log[x]^3)/(-8*E^144*x^6 + (24*E^(96 + x)*x^5 + 12*E^96*x^4*Log[3])*Log[x] + (-24*E^(48 + 2*x)*x^4 - 24*E^(48 + x)*x^3*Log[3] - 6*E^48*x^2*Log[3]^2)*Log[x]^2 + (8*E^(3*x)*x^3 + 12*E^(2*x)*x^2*Log[3] + 6*E^x*x*Log[3]^2 + Log[3]^3)*Log[x]^3),x]","\frac{25 \log ^2(x)}{\left(\left(2 e^x x+\log (3)\right) \log (x)-2 e^{48} x^2\right)^2}","\frac{25}{\left(2 x \left(\frac{e^{48} x}{\log (x)}-e^x\right)-\log (3)\right)^2}",1,"(25*Log[x]^2)/(-2*E^48*x^2 + (2*E^x*x + Log[3])*Log[x])^2","A",1
9414,1,32,31,1.3771423,"\int \frac{-16+8 x-x^2+e^{\frac{-5+x}{-4+x}} \left(32-14 x+2 x^2\right)+\left(32-16 x+2 x^2\right) \log (16)}{512 x^2-256 x^3+32 x^4+e^{\frac{2 (-5+x)}{-4+x}} \left(2048 x^2-1024 x^3+128 x^4\right)+\left(-2048 x^2+1024 x^3-128 x^4\right) \log (16)+\left(2048 x^2-1024 x^3+128 x^4\right) \log ^2(16)+e^{\frac{-5+x}{-4+x}} \left(-2048 x^2+1024 x^3-128 x^4+\left(4096 x^2-2048 x^3+256 x^4\right) \log (16)\right)} \, dx","Integrate[(-16 + 8*x - x^2 + E^((-5 + x)/(-4 + x))*(32 - 14*x + 2*x^2) + (32 - 16*x + 2*x^2)*Log[16])/(512*x^2 - 256*x^3 + 32*x^4 + E^((2*(-5 + x))/(-4 + x))*(2048*x^2 - 1024*x^3 + 128*x^4) + (-2048*x^2 + 1024*x^3 - 128*x^4)*Log[16] + (2048*x^2 - 1024*x^3 + 128*x^4)*Log[16]^2 + E^((-5 + x)/(-4 + x))*(-2048*x^2 + 1024*x^3 - 128*x^4 + (4096*x^2 - 2048*x^3 + 256*x^4)*Log[16])),x]","-\frac{e^{\frac{1}{x-4}}}{32 x \left(e^{\frac{1}{x-4}} (\log (256)-1)+2 e\right)}","\frac{1}{16 x \left(2-4 \left(e^{\frac{x}{\frac{x}{x-5}+x}}+\log (16)\right)\right)}",1,"-1/32*E^(-4 + x)^(-1)/(x*(2*E + E^(-4 + x)^(-1)*(-1 + Log[256])))","A",1
9415,1,32,31,0.1165338,"\int \frac{-16 x^2-16 x^3+16 x^4+e^x \left(4 x-4 x^3+4 x^4\right)+e^{e^2} \left(-16 x^2-32 x^3+e^x \left(8 x+8 x^2-4 x^3\right)\right)+\left(16 x^2+32 x^3+e^x \left(-8 x-8 x^2+4 x^3\right)\right) \log (x)}{e^{2 x} x^2-8 e^x x^3+16 x^4+e^{2 e^2} \left(e^{2 x}-8 e^x x+16 x^2\right)+e^{e^2} \left(-2 e^{2 x} x+16 e^x x^2-32 x^3\right)+\left(2 e^{2 x} x-16 e^x x^2+32 x^3+e^{e^2} \left(-2 e^{2 x}+16 e^x x-32 x^2\right)\right) \log (x)+\left(e^{2 x}-8 e^x x+16 x^2\right) \log ^2(x)} \, dx","Integrate[(-16*x^2 - 16*x^3 + 16*x^4 + E^x*(4*x - 4*x^3 + 4*x^4) + E^E^2*(-16*x^2 - 32*x^3 + E^x*(8*x + 8*x^2 - 4*x^3)) + (16*x^2 + 32*x^3 + E^x*(-8*x - 8*x^2 + 4*x^3))*Log[x])/(E^(2*x)*x^2 - 8*E^x*x^3 + 16*x^4 + E^(2*E^2)*(E^(2*x) - 8*E^x*x + 16*x^2) + E^E^2*(-2*E^(2*x)*x + 16*E^x*x^2 - 32*x^3) + (2*E^(2*x)*x - 16*E^x*x^2 + 32*x^3 + E^E^2*(-2*E^(2*x) + 16*E^x*x - 32*x^2))*Log[x] + (E^(2*x) - 8*E^x*x + 16*x^2)*Log[x]^2),x]","\frac{4 x^2 (x+1)}{\left(4 x-e^x\right) \left(x+\log (x)-e^{e^2}\right)}","\frac{4 x (x+1)}{\left(4-\frac{e^x}{x}\right) \left(x+\log (x)-e^{e^2}\right)}",1,"(4*x^2*(1 + x))/((-E^x + 4*x)*(-E^E^2 + x + Log[x]))","A",1
9416,1,49,22,0.0661613,"\int \frac{-128 x-256 x^2-128 x^3+\left(128 x+384 x^2+256 x^3\right) \log \left(x^2\right)+\left(512 x+1536 x^2+1024 x^3\right) \log ^2\left(x^2\right)}{\log ^2\left(x^2\right)} \, dx","Integrate[(-128*x - 256*x^2 - 128*x^3 + (128*x + 384*x^2 + 256*x^3)*Log[x^2] + (512*x + 1536*x^2 + 1024*x^3)*Log[x^2]^2)/Log[x^2]^2,x]","256 x^4+512 x^3+256 x^2+\frac{64 x^2}{\log \left(x^2\right)}+\frac{64 x^4}{\log \left(x^2\right)}+\frac{128 x^3}{\log \left(x^2\right)}","256 x^2 (x+1)^2 \left(\frac{1}{4 \log \left(x^2\right)}+1\right)",1,"256*x^2 + 512*x^3 + 256*x^4 + (64*x^2)/Log[x^2] + (128*x^3)/Log[x^2] + (64*x^4)/Log[x^2]","B",1
9417,1,17,20,0.0035621,"\int \frac{4+12 x^3+2 x^4-4 x^3 \log (x)}{x^3} \, dx","Integrate[(4 + 12*x^3 + 2*x^4 - 4*x^3*Log[x])/x^3,x]","x^2-\frac{2}{x^2}+16 x-4 x \log (x)","x^2-\frac{2}{x^2}-4 x (\log (x)-4)+e-1+\log (3)",1,"-2/x^2 + 16*x + x^2 - 4*x*Log[x]","A",1
9418,1,19,26,0.018522,"\int \frac{1}{2} e^{-x} \left(31-18 x+x^2\right) \, dx","Integrate[(31 - 18*x + x^2)/(2*E^x),x]","\frac{1}{2} e^{-x} \left(-x^2+16 x-15\right)","\left(\frac{1}{2} e^{-x} (9-x)+3 e^{-x}\right) (x-1)",1,"(-15 + 16*x - x^2)/(2*E^x)","A",1
9419,1,12,12,0.0153236,"\int \left(48 x+3 x^2+e^x \left(3 x^2+x^3\right)\right) \, dx","Integrate[48*x + 3*x^2 + E^x*(3*x^2 + x^3),x]","x^2 \left(e^x x+x+24\right)","x^2 \left(e^x x+x+24\right)",1,"x^2*(24 + x + E^x*x)","A",1
9420,1,51,31,0.3985773,"\int \frac{24 e^{2 x}+\left(e^x \left(-120-24 e^5\right)+24 e^{2 x} x\right) \log \left(\frac{2}{x}\right)+e^x \left(-120 x-24 e^5 x\right) \log ^2\left(\frac{2}{x}\right)+\left(12 e^{3 x} x \log \left(\frac{2}{x}\right)+e^{2 x} \left(-120 x-24 e^5 x\right) \log ^2\left(\frac{2}{x}\right)+e^x \left(299 x+120 e^5 x+12 e^{10} x\right) \log ^3\left(\frac{2}{x}\right)\right) \log \left(\frac{-12 e^{2 x}+e^x \left(120+24 e^5\right) \log \left(\frac{2}{x}\right)+\left(-299-120 e^5-12 e^{10}\right) \log ^2\left(\frac{2}{x}\right)}{\log ^2\left(\frac{2}{x}\right)}\right)}{\left(12 e^{2 x} x \log \left(\frac{2}{x}\right)+e^x \left(-120 x-24 e^5 x\right) \log ^2\left(\frac{2}{x}\right)+\left(299 x+120 e^5 x+12 e^{10} x\right) \log ^3\left(\frac{2}{x}\right)\right) \log \left(\frac{-12 e^{2 x}+e^x \left(120+24 e^5\right) \log \left(\frac{2}{x}\right)+\left(-299-120 e^5-12 e^{10}\right) \log ^2\left(\frac{2}{x}\right)}{\log ^2\left(\frac{2}{x}\right)}\right)} \, dx","Integrate[(24*E^(2*x) + (E^x*(-120 - 24*E^5) + 24*E^(2*x)*x)*Log[2/x] + E^x*(-120*x - 24*E^5*x)*Log[2/x]^2 + (12*E^(3*x)*x*Log[2/x] + E^(2*x)*(-120*x - 24*E^5*x)*Log[2/x]^2 + E^x*(299*x + 120*E^5*x + 12*E^10*x)*Log[2/x]^3)*Log[(-12*E^(2*x) + E^x*(120 + 24*E^5)*Log[2/x] + (-299 - 120*E^5 - 12*E^10)*Log[2/x]^2)/Log[2/x]^2])/((12*E^(2*x)*x*Log[2/x] + E^x*(-120*x - 24*E^5*x)*Log[2/x]^2 + (299*x + 120*E^5*x + 12*E^10*x)*Log[2/x]^3)*Log[(-12*E^(2*x) + E^x*(120 + 24*E^5)*Log[2/x] + (-299 - 120*E^5 - 12*E^10)*Log[2/x]^2)/Log[2/x]^2]),x]","e^x+\log \left(\log \left(-\frac{12 e^{2 x}}{\log ^2\left(\frac{2}{x}\right)}+\frac{24 \left(5+e^5\right) e^x}{\log \left(\frac{2}{x}\right)}-12 e^{10}-120 e^5-299\right)\right)","e^x+\log \left(\log \left(1-12 \left(\frac{e^x}{\log \left(\frac{2}{x}\right)}-e^5-5\right)^2\right)\right)",1,"E^x + Log[Log[-299 - 120*E^5 - 12*E^10 - (12*E^(2*x))/Log[2/x]^2 + (24*E^x*(5 + E^5))/Log[2/x]]]","A",1
9421,1,59,20,0.067017,"\int \left(26+54 x+6 x^2+4 x^3+e^4 (2+4 x)+e^{2 x} \left(2 x+2 x^2\right)+e^x \left(26+30 x+8 x^2+2 x^3+e^4 (2+2 x)\right)\right) \, dx","Integrate[26 + 54*x + 6*x^2 + 4*x^3 + E^4*(2 + 4*x) + E^(2*x)*(2*x + 2*x^2) + E^x*(26 + 30*x + 8*x^2 + 2*x^3 + E^4*(2 + 2*x)),x]","x^4+2 x^3+e^{2 x} x^2+2 e^4 x^2+27 x^2+2 e^x \left(x^3+x^2+\left(13+e^4\right) x\right)+2 e^4 x+26 x","\left(\left(x+e^x+\frac{16}{x}\right) x+x+e^4-3\right)^2",1,"26*x + 2*E^4*x + 27*x^2 + 2*E^4*x^2 + E^(2*x)*x^2 + 2*x^3 + x^4 + 2*E^x*((13 + E^4)*x + x^2 + x^3)","B",1
9422,1,29,26,0.4324352,"\int \frac{2 x^2+8 x^3+8 x^4+e^x \left(-2-8 x-8 x^2\right)+\left(e^x (-2-4 x)+2 x+4 x^2\right) \log \left(-\frac{4 e^x x}{e^x-x}\right)}{\left(e^x x^3-x^4\right) \log ^3\left(-\frac{4 e^x x}{e^x-x}\right)} \, dx","Integrate[(2*x^2 + 8*x^3 + 8*x^4 + E^x*(-2 - 8*x - 8*x^2) + (E^x*(-2 - 4*x) + 2*x + 4*x^2)*Log[(-4*E^x*x)/(E^x - x)])/((E^x*x^3 - x^4)*Log[(-4*E^x*x)/(E^x - x)]^3),x]","\frac{(2 x+1)^2}{x^2 \log ^2\left(-\frac{4 e^x x}{e^x-x}\right)}","\frac{\left(\frac{1}{x}+2\right)^2}{\log ^2\left(\frac{4 e^x x}{x-e^x}\right)}",1,"(1 + 2*x)^2/(x^2*Log[(-4*E^x*x)/(E^x - x)]^2)","A",1
9423,1,18,20,0.0013656,"\int \frac{1}{5} \left(-81+5 e^2+22 x\right) \, dx","Integrate[(-81 + 5*E^2 + 22*x)/5,x]","\frac{11 x^2}{5}+e^2 x-\frac{81 x}{5}","x \left(x-\frac{3}{5} (3 (9-x)+x)+e^2\right)",1,"(-81*x)/5 + E^2*x + (11*x^2)/5","A",1
9424,1,14,12,0.0000905,"\int \left(15+\sqrt[25]{e}+2 x\right) \, dx","Integrate[15 + E^(1/25) + 2*x,x]","x^2+\sqrt[25]{e} x+15 x","(x+2) \left(x+\sqrt[25]{e}+13\right)",1,"15*x + E^(1/25)*x + x^2","A",1
9425,1,32,29,0.2249872,"\int \frac{140+70 x-77 x^2+35 x^3+77 x^4+21 x^5+e^x \left(28 x+28 x^2+7 x^3\right)+\left(-56 x^2-56 x^3-14 x^4\right) \log (5 x)}{4 x+4 x^2+x^3} \, dx","Integrate[(140 + 70*x - 77*x^2 + 35*x^3 + 77*x^4 + 21*x^5 + E^x*(28*x + 28*x^2 + 7*x^3) + (-56*x^2 - 56*x^3 - 14*x^4)*Log[5*x])/(4*x + 4*x^2 + x^3),x]","7 \left(x^3-x^2 \log (5 x)-3 x+e^x-\frac{2}{x+2}+5 \log (x)\right)","7 \left(\left(5-x^2\right) \left(-x-\frac{2}{x+2}+\log (5 x)\right)+e^x\right)",1,"7*(E^x - 3*x + x^3 - 2/(2 + x) + 5*Log[x] - x^2*Log[5*x])","A",1
9426,1,18,17,0.0184462,"\int \frac{-37-16 x-2 x^2+e^5 \left(-16-8 x-x^2\right)}{16+8 x+x^2} \, dx","Integrate[(-37 - 16*x - 2*x^2 + E^5*(-16 - 8*x - x^2))/(16 + 8*x + x^2),x]","\frac{5}{x+4}-\left(2+e^5\right) (x+4)","-\left(\left(2+e^5\right) x\right)+\frac{5}{x+4}+2",1,"5/(4 + x) - (2 + E^5)*(4 + x)","A",1
9427,1,28,30,0.6236189,"\int \frac{\left(54-99 x-15 x^2+23 x^3+3 x^4\right) \log (5)+\left(-54+18 x^2+2 x^3\right) \log (5) \log \left(\frac{3}{x}\right)}{81 x^4-18 x^6+x^8+\left(162 x^3-36 x^5+2 x^7\right) \log \left(\frac{3}{x}\right)+\left(81 x^2-18 x^4+x^6\right) \log ^2\left(\frac{3}{x}\right)} \, dx","Integrate[((54 - 99*x - 15*x^2 + 23*x^3 + 3*x^4)*Log[5] + (-54 + 18*x^2 + 2*x^3)*Log[5]*Log[3/x])/(81*x^4 - 18*x^6 + x^8 + (162*x^3 - 36*x^5 + 2*x^7)*Log[3/x] + (81*x^2 - 18*x^4 + x^6)*Log[3/x]^2),x]","\frac{(-x-6) \log (5)}{x \left(x^2-9\right) \left(x+\log \left(\frac{3}{x}\right)\right)}","-\frac{(x+6) \log (5)}{(x-3) x (x+3) \left(x+\log \left(\frac{3}{x}\right)\right)}",1,"((-6 - x)*Log[5])/(x*(-9 + x^2)*(x + Log[3/x]))","A",1
9428,1,36,33,0.0515059,"\int \frac{8 x^2+9 x^3+6 x^4+2 x^5+\left(120 x+4 x^2-50 x^3-29 x^4-4 x^5\right) \log (x)+\left(-300-120 x+88 x^2+90 x^3+24 x^4+2 x^5\right) \log ^2(x)}{2 x^4+\left(-20 x^3-4 x^4\right) \log (x)+\left(50 x^2+20 x^3+2 x^4\right) \log ^2(x)} \, dx","Integrate[(8*x^2 + 9*x^3 + 6*x^4 + 2*x^5 + (120*x + 4*x^2 - 50*x^3 - 29*x^4 - 4*x^5)*Log[x] + (-300 - 120*x + 88*x^2 + 90*x^3 + 24*x^4 + 2*x^5)*Log[x]^2)/(2*x^4 + (-20*x^3 - 4*x^4)*Log[x] + (50*x^2 + 20*x^3 + 2*x^4)*Log[x]^2),x]","\frac{1}{2} \left(x^2+4 x+\frac{12}{x}-\frac{(x+4) x}{-x+x \log (x)+5 \log (x)}\right)","\frac{(x+4) \left(3-x \left(\frac{x}{(x+5) \log (x)-x}-x\right)\right)}{2 x}",1,"(12/x + 4*x + x^2 - (x*(4 + x))/(-x + 5*Log[x] + x*Log[x]))/2","A",1
9429,1,12,17,0.0048037,"\int \frac{-768-30 x-12 \log (4)}{x^3} \, dx","Integrate[(-768 - 30*x - 12*Log[4])/x^3,x]","\frac{3 (10 x+128+\log (16))}{x^2}","\frac{6 \left(\frac{64+\log (4)}{x}+5\right)}{x}+2",1,"(3*(128 + 10*x + Log[16]))/x^2","A",1
9430,1,59,28,0.1532851,"\int \frac{-10 e^x x^2+25 x^3-2 e^{2 x} x^3+\left(9325 x^2-750 e^{2 x} x^2+e^x \left(-1250 x-10 x^3\right)\right) \log (x)+\left(1171875 x-93750 e^{2 x} x+e^x \left(-1250 x-2500 x^2\right)\right) \log ^2(x)+\left(48828125-3906250 e^{2 x}+e^x (-156250-156250 x)-6250 x\right) \log ^3(x)}{25 x^3+9375 x^2 \log (x)+1171875 x \log ^2(x)+48828125 \log ^3(x)} \, dx","Integrate[(-10*E^x*x^2 + 25*x^3 - 2*E^(2*x)*x^3 + (9325*x^2 - 750*E^(2*x)*x^2 + E^x*(-1250*x - 10*x^3))*Log[x] + (1171875*x - 93750*E^(2*x)*x + E^x*(-1250*x - 2500*x^2))*Log[x]^2 + (48828125 - 3906250*E^(2*x) + E^x*(-156250 - 156250*x) - 6250*x)*Log[x]^3)/(25*x^3 + 9375*x^2*Log[x] + 1171875*x*Log[x]^2 + 48828125*Log[x]^3),x]","\frac{-\frac{x^4}{(x+125 \log (x))^2}-x^2+\frac{2 \left(x+25 e^x\right) x^2}{x+125 \log (x)}-50 e^x x+15625 x-625 e^{2 x}}{15625}","x-\frac{1}{25} \left(e^x+\frac{x}{\frac{x}{5 \log (x)}+25}\right)^2-1",1,"(-625*E^(2*x) + 15625*x - 50*E^x*x - x^2 - x^4/(x + 125*Log[x])^2 + (2*x^2*(25*E^x + x))/(x + 125*Log[x]))/15625","B",1
9431,1,14,16,0.0589679,"\int \frac{3+6 x^2+e^x x^2+\left(12 x^2+e^x \left(2 x^2+x^3\right)\right) \log (x)}{x} \, dx","Integrate[(3 + 6*x^2 + E^x*x^2 + (12*x^2 + E^x*(2*x^2 + x^3))*Log[x])/x,x]","\left(\left(e^x+6\right) x^2+3\right) \log (x)","\left(\frac{3}{x^2}+e^x+6\right) x^2 \log (x)",1,"(3 + (6 + E^x)*x^2)*Log[x]","A",1
9432,1,84,33,0.0670676,"\int \frac{25+50 x+\left(75 x^2+150 x^3\right) \log (4)+\left(-36 e^8 x^3+75 x^4+90 e^4 x^4+96 x^5\right) \log ^2(4)+\left(25 x^6+18 e^4 x^6+32 x^7\right) \log ^3(4)}{25+75 x^2 \log (4)+75 x^4 \log ^2(4)+25 x^6 \log ^3(4)} \, dx","Integrate[(25 + 50*x + (75*x^2 + 150*x^3)*Log[4] + (-36*E^8*x^3 + 75*x^4 + 90*E^4*x^4 + 96*x^5)*Log[4]^2 + (25*x^6 + 18*E^4*x^6 + 32*x^7)*Log[4]^3)/(25 + 75*x^2*Log[4] + 75*x^4*Log[4]^2 + 25*x^6*Log[4]^3),x]","\frac{1}{25} \left(16 x^2+\frac{9 \left(-4 e^4 x \log (4)-3+2 e^8 \log (4)\right)}{\log (4) \left(x^2 \log (4)+1\right)}-\frac{9 \left(-2 e^4 x \log (4)-1+e^8 \log (4)\right)}{\log (4) \left(x^2 \log (4)+1\right)^2}+\left(25+18 e^4\right) x\right)","x^2-\frac{9 \left(x-e^4\right)^2 x^2}{25 \left(x+\frac{1}{x \log (4)}\right)^2}+x",1,"((25 + 18*E^4)*x + 16*x^2 - (9*(-1 + E^8*Log[4] - 2*E^4*x*Log[4]))/(Log[4]*(1 + x^2*Log[4])^2) + (9*(-3 + 2*E^8*Log[4] - 4*E^4*x*Log[4]))/(Log[4]*(1 + x^2*Log[4])))/25","B",1
9433,1,16,18,0.0095272,"\int \frac{-18+9 x+e^x x+6 x \log (x)}{x} \, dx","Integrate[(-18 + 9*x + E^x*x + 6*x*Log[x])/x,x]","3 x+e^x+6 x \log (x)-18 \log (x)","e^x+3 \left(x+2 (x-3) \log (x)-\frac{4}{9}\right)",1,"E^x + 3*x - 18*Log[x] + 6*x*Log[x]","A",1
9434,1,23,25,0.0779616,"\int \frac{-8 e+e^{5-x} (-27+36 x)}{-24 e+27 e^{5-x} x} \, dx","Integrate[(-8*E + E^(5 - x)*(-27 + 36*x))/(-24*E + 27*E^(5 - x)*x),x]","\frac{1}{3} \left(4 x-3 \log \left(8 e^x-9 e^4 x\right)\right)","\frac{x}{3}-\log \left(\frac{1}{2} e^{4-x} x-\frac{4}{9}\right)",1,"(4*x - 3*Log[8*E^x - 9*E^4*x])/3","A",1
9435,1,40,25,0.1126034,"\int \frac{-4 x^2-10 x^3-3 x^4+\left(4 x+10 x^2+3 x^3\right) \log (5)+\log (5) \log \left(e^{6+4 x+5 x^2+x^3}\right)}{x^2-2 x \log (5)+\log ^2(5)} \, dx","Integrate[(-4*x^2 - 10*x^3 - 3*x^4 + (4*x + 10*x^2 + 3*x^3)*Log[5] + Log[5]*Log[E^(6 + 4*x + 5*x^2 + x^3)])/(x^2 - 2*x*Log[5] + Log[5]^2),x]","-x \left(x^2+5 x+4\right)-\frac{\log (5) \log \left(e^{x^3+5 x^2+4 x+6}\right)}{x-\log (5)}","\frac{x \log \left(e^{(x (x+5)+3) x+x+6}\right)}{\log (5)-x}",1,"-(x*(4 + 5*x + x^2)) - (Log[5]*Log[E^(6 + 4*x + 5*x^2 + x^3)])/(x - Log[5])","A",1
9436,1,85,25,0.2184046,"\int \frac{e^{-5+8 x-3 x^2-e^{10} \left(2 x-x^2\right)} \left(-3+24 x-18 x^2+e^{10} \left(-6 x+6 x^2\right)+\left(24-18 x+e^{10} (-6+6 x)\right) \log (3)\right)}{x^2+2 x \log (3)+\log ^2(3)} \, dx","Integrate[(E^(-5 + 8*x - 3*x^2 - E^10*(2*x - x^2))*(-3 + 24*x - 18*x^2 + E^10*(-6*x + 6*x^2) + (24 - 18*x + E^10*(-6 + 6*x))*Log[3]))/(x^2 + 2*x*Log[3] + Log[3]^2),x]","\frac{3 e^{-3 x^2+e^{10} (x-2) x+8 x-5} \left(2 \left(e^{10}-3\right) x^2+x \left(8-6 \log (3)+e^{10} (\log (9)-2)\right)-e^{10} \log (9)+8 \log (3)\right)}{\left(e^{10} (x-2)+e^{10} x-6 x+8\right) (x+\log (3))^2}","\frac{3 e^{x^2+\left(e^{10}-4\right) (x-2) x-5}}{x+\log (3)}",1,"(3*E^(-5 + 8*x + E^10*(-2 + x)*x - 3*x^2)*(2*(-3 + E^10)*x^2 + 8*Log[3] + x*(8 - 6*Log[3] + E^10*(-2 + Log[9])) - E^10*Log[9]))/((8 + E^10*(-2 + x) - 6*x + E^10*x)*(x + Log[3])^2)","B",1
9437,1,14,19,0.0068545,"\int \left(1682 x+2 e^4 x+1044 x^2+144 x^3+e^2 \left(-116 x-36 x^2\right)\right) \, dx","Integrate[1682*x + 2*E^4*x + 1044*x^2 + 144*x^3 + E^2*(-116*x - 36*x^2),x]","\left(-6 x+e^2-29\right)^2 x^2","\left(x-x \left(x-7 (x+4)+e^2\right)\right)^2+2",1,"(-29 + E^2 - 6*x)^2*x^2","A",1
9438,1,12,13,0.0444516,"\int \frac{1+e^x (-3-x)}{16+8 x+x^2} \, dx","Integrate[(1 + E^x*(-3 - x))/(16 + 8*x + x^2),x]","-\frac{e^x+1}{x+4}","\frac{-e^x-1}{x+4}",1,"-((1 + E^x)/(4 + x))","A",1
9439,1,30,31,0.0046051,"\int \frac{-18 e^2+18 x^2+4 x^3-24 x^5+27 x^7}{18 x^2} \, dx","Integrate[(-18*E^2 + 18*x^2 + 4*x^3 - 24*x^5 + 27*x^7)/(18*x^2),x]","\frac{x^6}{4}-\frac{x^4}{3}+\frac{x^2}{9}+x+\frac{e^2}{x}","\frac{1}{4} x^2 \left(x^2-\frac{2}{3}\right)^2+x+\frac{e^2 (1-x)}{x}+7",1,"E^2/x + x + x^2/9 - x^4/3 + x^6/4","A",1
9440,0,0,31,2.2185584,"\int \frac{-32 x+8 x^3+16 x^4+12 x^5+\left(-32+16 x^2+32 x^3+24 x^4\right) \log (x)+\left(8 x+16 x^2+12 x^3\right) \log ^2(x)+\left(-16-32 x-8 x^4-12 x^5+\left(-16-16 x^3-24 x^4\right) \log (x)+\left(-8 x^2-12 x^3\right) \log ^2(x)\right) \log \left(\frac{8-2 x^2-4 x^3-3 x^4+\left(-2 x-4 x^2-3 x^3\right) \log (x)}{x^2+x \log (x)}\right)+\left(8 x-2 x^3-4 x^4-3 x^5+\left(8-4 x^2-8 x^3-6 x^4\right) \log (x)+\left(-2 x-4 x^2-3 x^3\right) \log ^2(x)\right) \log ^2\left(\frac{8-2 x^2-4 x^3-3 x^4+\left(-2 x-4 x^2-3 x^3\right) \log (x)}{x^2+x \log (x)}\right)}{-8 x+2 x^3+4 x^4+3 x^5+\left(-8+4 x^2+8 x^3+6 x^4\right) \log (x)+\left(2 x+4 x^2+3 x^3\right) \log ^2(x)} \, dx","Integrate[(-32*x + 8*x^3 + 16*x^4 + 12*x^5 + (-32 + 16*x^2 + 32*x^3 + 24*x^4)*Log[x] + (8*x + 16*x^2 + 12*x^3)*Log[x]^2 + (-16 - 32*x - 8*x^4 - 12*x^5 + (-16 - 16*x^3 - 24*x^4)*Log[x] + (-8*x^2 - 12*x^3)*Log[x]^2)*Log[(8 - 2*x^2 - 4*x^3 - 3*x^4 + (-2*x - 4*x^2 - 3*x^3)*Log[x])/(x^2 + x*Log[x])] + (8*x - 2*x^3 - 4*x^4 - 3*x^5 + (8 - 4*x^2 - 8*x^3 - 6*x^4)*Log[x] + (-2*x - 4*x^2 - 3*x^3)*Log[x]^2)*Log[(8 - 2*x^2 - 4*x^3 - 3*x^4 + (-2*x - 4*x^2 - 3*x^3)*Log[x])/(x^2 + x*Log[x])]^2)/(-8*x + 2*x^3 + 4*x^4 + 3*x^5 + (-8 + 4*x^2 + 8*x^3 + 6*x^4)*Log[x] + (2*x + 4*x^2 + 3*x^3)*Log[x]^2),x]","\int \frac{-32 x+8 x^3+16 x^4+12 x^5+\left(-32+16 x^2+32 x^3+24 x^4\right) \log (x)+\left(8 x+16 x^2+12 x^3\right) \log ^2(x)+\left(-16-32 x-8 x^4-12 x^5+\left(-16-16 x^3-24 x^4\right) \log (x)+\left(-8 x^2-12 x^3\right) \log ^2(x)\right) \log \left(\frac{8-2 x^2-4 x^3-3 x^4+\left(-2 x-4 x^2-3 x^3\right) \log (x)}{x^2+x \log (x)}\right)+\left(8 x-2 x^3-4 x^4-3 x^5+\left(8-4 x^2-8 x^3-6 x^4\right) \log (x)+\left(-2 x-4 x^2-3 x^3\right) \log ^2(x)\right) \log ^2\left(\frac{8-2 x^2-4 x^3-3 x^4+\left(-2 x-4 x^2-3 x^3\right) \log (x)}{x^2+x \log (x)}\right)}{-8 x+2 x^3+4 x^4+3 x^5+\left(-8+4 x^2+8 x^3+6 x^4\right) \log (x)+\left(2 x+4 x^2+3 x^3\right) \log ^2(x)} \, dx","x \left(4-\log ^2\left(-((3 x+5) x)+x+\frac{8}{x (x+\log (x))}-2\right)\right)",1,"Integrate[(-32*x + 8*x^3 + 16*x^4 + 12*x^5 + (-32 + 16*x^2 + 32*x^3 + 24*x^4)*Log[x] + (8*x + 16*x^2 + 12*x^3)*Log[x]^2 + (-16 - 32*x - 8*x^4 - 12*x^5 + (-16 - 16*x^3 - 24*x^4)*Log[x] + (-8*x^2 - 12*x^3)*Log[x]^2)*Log[(8 - 2*x^2 - 4*x^3 - 3*x^4 + (-2*x - 4*x^2 - 3*x^3)*Log[x])/(x^2 + x*Log[x])] + (8*x - 2*x^3 - 4*x^4 - 3*x^5 + (8 - 4*x^2 - 8*x^3 - 6*x^4)*Log[x] + (-2*x - 4*x^2 - 3*x^3)*Log[x]^2)*Log[(8 - 2*x^2 - 4*x^3 - 3*x^4 + (-2*x - 4*x^2 - 3*x^3)*Log[x])/(x^2 + x*Log[x])]^2)/(-8*x + 2*x^3 + 4*x^4 + 3*x^5 + (-8 + 4*x^2 + 8*x^3 + 6*x^4)*Log[x] + (2*x + 4*x^2 + 3*x^3)*Log[x]^2), x]","F",-1
9441,1,8,15,0.000479,"\int -\frac{8 \log ^2(2)}{x} \, dx","Integrate[(-8*Log[2]^2)/x,x]","-8 \log ^2(2) \log (x)","4 \log ^2(2) \log \left(\frac{\log (3)}{x^2}\right)-3",1,"-8*Log[2]^2*Log[x]","A",1
9442,1,15,15,0.0413727,"\int \frac{\left(-6+2 e^{3+e^{3+x}+x}\right) \log \left(-6+e^{e^{3+x}}-3 x\right)}{-6+e^{e^{3+x}}-3 x} \, dx","Integrate[((-6 + 2*E^(3 + E^(3 + x) + x))*Log[-6 + E^E^(3 + x) - 3*x])/(-6 + E^E^(3 + x) - 3*x),x]","\log ^2\left(-3 x+e^{e^{x+3}}-6\right)","\log ^2\left(-3 x+e^{e^{x+3}}-6\right)",1,"Log[-6 + E^E^(3 + x) - 3*x]^2","A",1
9443,1,32,22,1.1684808,"\int \frac{100 x^2+100 x^3+25 x^4+\exp \left(e^{\frac{3+200 x+100 x^2}{50 x+25 x^2}}+\frac{3+200 x+100 x^2}{50 x+25 x^2}\right) (6+6 x)}{100 x^2+100 x^3+25 x^4} \, dx","Integrate[(100*x^2 + 100*x^3 + 25*x^4 + E^(E^((3 + 200*x + 100*x^2)/(50*x + 25*x^2)) + (3 + 200*x + 100*x^2)/(50*x + 25*x^2))*(6 + 6*x))/(100*x^2 + 100*x^3 + 25*x^4),x]","\frac{1}{25} \left(25 x-25 e^{e^{-\frac{3}{50 (x+2)}+\frac{3}{50 x}+4}}\right)","x-e^{e^{\frac{3}{25 x (x+2)}+4}}",1,"(-25*E^E^(4 + 3/(50*x) - 3/(50*(2 + x))) + 25*x)/25","A",1
9444,1,45,33,0.74264,"\int \frac{-972-231 x+3 x^2+e^{3 e^3} \left(-3 x+3 x^2\right)+(216+24 x) \log (x)-12 \log ^2(x)}{1296-720 x+28 x^2+e^{6 e^3} x^2+20 x^3+x^4+e^{3 e^3} \left(-72 x+20 x^2+2 x^3\right)+\left(-288+152 x-12 x^2-2 x^3+e^{3 e^3} \left(8 x-2 x^2\right)\right) \log (x)+\left(16-8 x+x^2\right) \log ^2(x)} \, dx","Integrate[(-972 - 231*x + 3*x^2 + E^(3*E^3)*(-3*x + 3*x^2) + (216 + 24*x)*Log[x] - 12*Log[x]^2)/(1296 - 720*x + 28*x^2 + E^(6*E^3)*x^2 + 20*x^3 + x^4 + E^(3*E^3)*(-72*x + 20*x^2 + 2*x^3) + (-288 + 152*x - 12*x^2 - 2*x^3 + E^(3*E^3)*(8*x - 2*x^2))*Log[x] + (16 - 8*x + x^2)*Log[x]^2),x]","\frac{3 \left(-\left(\left(1+e^{3 e^3}\right) x\right)-4 \log (x)+36\right)}{x^2+\left(10+e^{3 e^3}\right) x-(x-4) \log (x)-36}","2-\frac{3 x}{-x-\frac{\left(5+e^{3 e^3}\right) x}{x-\log (x)+9}+4}",1,"(3*(36 - (1 + E^(3*E^3))*x - 4*Log[x]))/(-36 + (10 + E^(3*E^3))*x + x^2 - (-4 + x)*Log[x])","A",1
9445,1,66,21,0.0961384,"\int \frac{7938+17406 x-36774 x^2+22422 x^3-6186 x^4+906 x^5-82 x^6+2 x^7+\left(-486-1188 x+1926 x^2-960 x^3+222 x^4-28 x^5+2 x^6\right) \log (x)}{-243 x+405 x^2-270 x^3+90 x^4-15 x^5+x^6} \, dx","Integrate[(7938 + 17406*x - 36774*x^2 + 22422*x^3 - 6186*x^4 + 906*x^5 - 82*x^6 + 2*x^7 + (-486 - 1188*x + 1926*x^2 - 960*x^3 + 222*x^4 - 28*x^5 + 2*x^6)*Log[x])/(-243*x + 405*x^2 - 270*x^3 + 90*x^4 - 15*x^5 + x^6),x]","\frac{x^6-66 x^5+702 x^4-1320 x^3-7551 x^2+2 (x-3)^2 \left(x^3-33 x^2+135 x-147\right) \log (x)+31266 x+(x-3)^4 \log ^2(x)-31608}{(x-3)^4}","\left(-3 \left(3-\frac{2}{3-x}\right)^2+x+\log (x)\right)^2",1,"(-31608 + 31266*x - 7551*x^2 - 1320*x^3 + 702*x^4 - 66*x^5 + x^6 + 2*(-3 + x)^2*(-147 + 135*x - 33*x^2 + x^3)*Log[x] + (-3 + x)^4*Log[x]^2)/(-3 + x)^4","B",1
9446,1,29,30,0.0289043,"\int \frac{112-288 x+144 x^2-240 x^4-12 \log (x)}{49-434 x+1465 x^2-2400 x^3+2040 x^4-696 x^5-600 x^6+864 x^7-288 x^8+144 x^{10}+\left(42 x-186 x^2+216 x^3-72 x^4+72 x^6\right) \log (x)+9 x^2 \log ^2(x)} \, dx","Integrate[(112 - 288*x + 144*x^2 - 240*x^4 - 12*Log[x])/(49 - 434*x + 1465*x^2 - 2400*x^3 + 2040*x^4 - 696*x^5 - 600*x^6 + 864*x^7 - 288*x^8 + 144*x^10 + (42*x - 186*x^2 + 216*x^3 - 72*x^4 + 72*x^6)*Log[x] + 9*x^2*Log[x]^2),x]","\frac{4}{12 x^5-12 x^3+36 x^2-31 x+3 x \log (x)+7}","\frac{4}{7-x \left(3 \left(-4 x^4+(3-2 x)^2-\log (x)\right)+4\right)}",1,"4/(7 - 31*x + 36*x^2 - 12*x^3 + 12*x^5 + 3*x*Log[x])","A",1
9447,1,35,33,0.2108057,"\int \frac{-50 x^2+120 x^3+30 x^4+e^{\left.\frac{1}{5}\right/x} \left(-50 x+120 x^2+30 x^3\right)+\left(-10 x^2+20 x^3+e^{\left.\frac{1}{5}\right/x} \left(-10 x+20 x^2\right)\right) \log (-1+2 x)+\left(-50 x^2+25 x^3+150 x^4+e^{\left.\frac{1}{5}\right/x} \left(10-5 x-30 x^2\right)+\left(-10 x^2+5 x^3+30 x^4+e^{\left.\frac{1}{5}\right/x} \left(2-x-6 x^2\right)\right) \log (-1+2 x)\right) \log \left(\frac{2+3 x}{5 x+x \log (-1+2 x)}\right)}{\left(-50 x^2+25 x^3+150 x^4+\left(-10 x^2+5 x^3+30 x^4\right) \log (-1+2 x)\right) \log ^2\left(\frac{2+3 x}{5 x+x \log (-1+2 x)}\right)} \, dx","Integrate[(-50*x^2 + 120*x^3 + 30*x^4 + E^(1/(5*x))*(-50*x + 120*x^2 + 30*x^3) + (-10*x^2 + 20*x^3 + E^(1/(5*x))*(-10*x + 20*x^2))*Log[-1 + 2*x] + (-50*x^2 + 25*x^3 + 150*x^4 + E^(1/(5*x))*(10 - 5*x - 30*x^2) + (-10*x^2 + 5*x^3 + 30*x^4 + E^(1/(5*x))*(2 - x - 6*x^2))*Log[-1 + 2*x])*Log[(2 + 3*x)/(5*x + x*Log[-1 + 2*x])])/((-50*x^2 + 25*x^3 + 150*x^4 + (-10*x^2 + 5*x^3 + 30*x^4)*Log[-1 + 2*x])*Log[(2 + 3*x)/(5*x + x*Log[-1 + 2*x])]^2),x]","\frac{x+e^{\left.\frac{1}{5}\right/x}}{\log \left(\frac{3 x+2}{5 x+x \log (2 x-1)}\right)}","\frac{x+e^{\left.\frac{1}{5}\right/x}}{\log \left(\frac{\frac{2}{x}+3}{\log (2 x-1)+5}\right)}",1,"(E^(1/(5*x)) + x)/Log[(2 + 3*x)/(5*x + x*Log[-1 + 2*x])]","A",1
9448,1,23,24,0.0201227,"\int \frac{\left(-3 e^6+e^3 (-5-2 x)\right) \log (4)+\left(-3 e^6+e^3 (-5-2 x)\right) \log (\log (4 \log (2)))}{25 x^2+9 e^6 x^2+10 x^3+x^4+e^3 \left(30 x^2+6 x^3\right)} \, dx","Integrate[((-3*E^6 + E^3*(-5 - 2*x))*Log[4] + (-3*E^6 + E^3*(-5 - 2*x))*Log[Log[4*Log[2]]])/(25*x^2 + 9*E^6*x^2 + 10*x^3 + x^4 + E^3*(30*x^2 + 6*x^3)),x]","\frac{e^3 \log (4 \log (\log (16)))}{x \left(x+3 e^3+5\right)}","\frac{\log (4)+\log (\log (4 \log (2)))}{x \left(\frac{x+5}{e^3}+3\right)}",1,"(E^3*Log[4*Log[Log[16]]])/(x*(5 + 3*E^3 + x))","A",1
9449,1,43,36,0.4675686,"\int \frac{\exp \left(3-\exp \left(3-e^{x^4-2 x^3 \log (4+x)+x^2 \log ^2(4+x)}-x\right)-x\right) \left(-4-x+\exp \left(3-e^{x^4-2 x^3 \log (4+x)+x^2 \log ^2(4+x)}-x\right) \left(4+x+e^{x^4-2 x^3 \log (4+x)+x^2 \log ^2(4+x)} \left(14 x^3+4 x^4+\left(-22 x^2-6 x^3\right) \log (4+x)+\left(8 x+2 x^2\right) \log ^2(4+x)\right)\right)\right)}{4+x} \, dx","Integrate[(E^(3 - E^(3 - E^(x^4 - 2*x^3*Log[4 + x] + x^2*Log[4 + x]^2) - x) - x)*(-4 - x + E^(3 - E^(x^4 - 2*x^3*Log[4 + x] + x^2*Log[4 + x]^2) - x)*(4 + x + E^(x^4 - 2*x^3*Log[4 + x] + x^2*Log[4 + x]^2)*(14*x^3 + 4*x^4 + (-22*x^2 - 6*x^3)*Log[4 + x] + (8*x + 2*x^2)*Log[4 + x]^2))))/(4 + x),x]","\exp \left(-\exp \left((x+4)^{-2 x^3} \left(-e^{x^4+x^2 \log ^2(x+4)}\right)-x+3\right)-x+3\right)","\exp \left(-e^{-e^{x^2 (\log (x+4)-x)^2}-x+3}-x+3\right)+2",1,"E^(3 - E^(3 - x - E^(x^4 + x^2*Log[4 + x]^2)/(4 + x)^(2*x^3)) - x)","A",1
9450,1,16,15,0.0416293,"\int \frac{2+2 x^2+e^{e^x} \left(1+e^x x \log (x)\right)}{x} \, dx","Integrate[(2 + 2*x^2 + E^E^x*(1 + E^x*x*Log[x]))/x,x]","x^2+e^{e^x} \log (x)+2 \log (x)","x^2+\left(e^{e^x}+2\right) \log (x)-3",1,"x^2 + 2*Log[x] + E^E^x*Log[x]","A",1
9451,1,46,28,0.2479948,"\int \frac{18 x-156 x^2-276 x^3+1386 x^4+2 e^{15} x^4+1458 x^5+486 x^6+54 x^7+e^{10} \left(-2 x^2-2 x^3+54 x^4+18 x^5\right)+e^5 \left(2 x-36 x^2-48 x^3+480 x^4+324 x^5+54 x^6\right)+\left(144 x+594 x^2-4140 x^3-6 e^{15} x^3-4356 x^4-1458 x^5-162 x^6+e^{10} \left(2 x+6 x^2-162 x^3-54 x^4\right)+e^5 \left(34 x+120 x^2-1434 x^3-972 x^4-162 x^5\right)\right) \log (x)+\left(-324 x+4212 x^2+6 e^{15} x^2+4356 x^3+1458 x^4+162 x^5+e^{10} \left(-4 x+162 x^2+54 x^3\right)+e^5 \left(-72 x+1440 x^2+972 x^3+162 x^4\right)\right) \log ^2(x)+\left(-1458 x-2 e^{15} x-1458 x^2-486 x^3-54 x^4+e^{10} \left(-54 x-18 x^2\right)+e^5 \left(-486 x-324 x^2-54 x^3\right)\right) \log ^3(x)}{-729 x^3-e^{15} x^3-729 x^4-243 x^5-27 x^6+e^{10} \left(-27 x^3-9 x^4\right)+e^5 \left(-243 x^3-162 x^4-27 x^5\right)+\left(2187 x^2+3 e^{15} x^2+2187 x^3+729 x^4+81 x^5+e^{10} \left(81 x^2+27 x^3\right)+e^5 \left(729 x^2+486 x^3+81 x^4\right)\right) \log (x)+\left(-2187 x-3 e^{15} x-2187 x^2-729 x^3-81 x^4+e^{10} \left(-81 x-27 x^2\right)+e^5 \left(-729 x-486 x^2-81 x^3\right)\right) \log ^2(x)+\left(729+e^{15}+729 x+243 x^2+27 x^3+e^{10} (27+9 x)+e^5 \left(243+162 x+27 x^2\right)\right) \log ^3(x)} \, dx","Integrate[(18*x - 156*x^2 - 276*x^3 + 1386*x^4 + 2*E^15*x^4 + 1458*x^5 + 486*x^6 + 54*x^7 + E^10*(-2*x^2 - 2*x^3 + 54*x^4 + 18*x^5) + E^5*(2*x - 36*x^2 - 48*x^3 + 480*x^4 + 324*x^5 + 54*x^6) + (144*x + 594*x^2 - 4140*x^3 - 6*E^15*x^3 - 4356*x^4 - 1458*x^5 - 162*x^6 + E^10*(2*x + 6*x^2 - 162*x^3 - 54*x^4) + E^5*(34*x + 120*x^2 - 1434*x^3 - 972*x^4 - 162*x^5))*Log[x] + (-324*x + 4212*x^2 + 6*E^15*x^2 + 4356*x^3 + 1458*x^4 + 162*x^5 + E^10*(-4*x + 162*x^2 + 54*x^3) + E^5*(-72*x + 1440*x^2 + 972*x^3 + 162*x^4))*Log[x]^2 + (-1458*x - 2*E^15*x - 1458*x^2 - 486*x^3 - 54*x^4 + E^10*(-54*x - 18*x^2) + E^5*(-486*x - 324*x^2 - 54*x^3))*Log[x]^3)/(-729*x^3 - E^15*x^3 - 729*x^4 - 243*x^5 - 27*x^6 + E^10*(-27*x^3 - 9*x^4) + E^5*(-243*x^3 - 162*x^4 - 27*x^5) + (2187*x^2 + 3*E^15*x^2 + 2187*x^3 + 729*x^4 + 81*x^5 + E^10*(81*x^2 + 27*x^3) + E^5*(729*x^2 + 486*x^3 + 81*x^4))*Log[x] + (-2187*x - 3*E^15*x - 2187*x^2 - 729*x^3 - 81*x^4 + E^10*(-81*x - 27*x^2) + E^5*(-729*x - 486*x^2 - 81*x^3))*Log[x]^2 + (729 + E^15 + 729*x + 243*x^2 + 27*x^3 + E^10*(27 + 9*x) + E^5*(243 + 162*x + 27*x^2))*Log[x]^3),x]","-x^2 \left(\frac{1}{\left(3 x+e^5+9\right)^2 (x-\log (x))^2}+\frac{2}{\left(3 x+e^5+9\right) (\log (x)-x)}+1\right)","2-\left(x+\frac{x}{\left(3 x+e^5+9\right) (\log (x)-x)}\right)^2",1,"-(x^2*(1 + 1/((9 + E^5 + 3*x)^2*(x - Log[x])^2) + 2/((9 + E^5 + 3*x)*(-x + Log[x]))))","A",1
9452,1,23,23,0.072005,"\int \frac{e^{2 x}+4 x^2+\left(2 e^{2 x} x+2 x^2\right) \log (x)+\left(-3 x^2-6 x^2 \log (x)\right) \log \left(x^2\right)}{x} \, dx","Integrate[(E^(2*x) + 4*x^2 + (2*E^(2*x)*x + 2*x^2)*Log[x] + (-3*x^2 - 6*x^2*Log[x])*Log[x^2])/x,x]","\log (x) \left(4 x^2-3 x^2 \log \left(x^2\right)+e^{2 x}\right)","\log (x) \left(4 x^2-3 x^2 \log \left(x^2\right)+e^{2 x}\right)",1,"Log[x]*(E^(2*x) + 4*x^2 - 3*x^2*Log[x^2])","A",1
9453,1,23,21,0.0985892,"\int \frac{-x^9+6 x^{14}+e^{\frac{1-2 x^5+x^{10}}{x^8}} \left(8-6 x^5-2 x^{10}\right)}{x^9} \, dx","Integrate[(-x^9 + 6*x^14 + E^((1 - 2*x^5 + x^10)/x^8)*(8 - 6*x^5 - 2*x^10))/x^9,x]","x^6-e^{\frac{1}{x^8}-\frac{2}{x^3}+x^2}-x","x^6-e^{\left(x-\frac{1}{x^4}\right)^2}-x+3",1,"-E^(x^(-8) - 2/x^3 + x^2) - x + x^6","A",1
9454,1,31,24,0.073065,"\int e^{-6-x-x^2} \left(2 e^{6+x+x^2} x+\left(2+7 x+2 x^2\right) \log (\log (5))\right) \, dx","Integrate[E^(-6 - x - x^2)*(2*E^(6 + x + x^2)*x + (2 + 7*x + 2*x^2)*Log[Log[5]]),x]","x^2+e^{-x^2-x} \left(-\frac{x}{e^6}-\frac{3}{e^6}\right) \log (\log (5))","x^2-e^{-x^2-x-6} (x+3) \log (\log (5))",1,"x^2 + E^(-x - x^2)*(-3/E^6 - x/E^6)*Log[Log[5]]","A",1
9455,1,25,25,0.3566198,"\int \frac{-48 x+16 e^5 x+(6-2 x) \log ^2(5)+48 x \log (x)}{e^{10} x-2 e^5 x^2+x^3+\left(6 e^5 x-6 x^2\right) \log (x)+9 x \log ^2(x)} \, dx","Integrate[(-48*x + 16*E^5*x + (6 - 2*x)*Log[5]^2 + 48*x*Log[x])/(E^10*x - 2*E^5*x^2 + x^3 + (6*E^5*x - 6*x^2)*Log[x] + 9*x*Log[x]^2),x]","\frac{2 \left(8 x-\log ^2(5)\right)}{-x+3 \log (x)+e^5}","\frac{2 \left(8 x-\log ^2(5)\right)}{-x+3 \log (x)+e^5}",1,"(2*(8*x - Log[5]^2))/(E^5 - x + 3*Log[x])","A",1
9456,1,15,17,0.1420576,"\int \frac{8-4 x-4 \log (4)}{4-4 \log (4)+\log ^2(4)+(4 x-2 x \log (4)) \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(8 - 4*x - 4*Log[4])/(4 - 4*Log[4] + Log[4]^2 + (4*x - 2*x*Log[4])*Log[x] + x^2*Log[x]^2),x]","\frac{4 x}{x \log (x)+2-\log (4)}","\frac{4 x}{x \log (x)+2-\log (4)}+1",1,"(4*x)/(2 - Log[4] + x*Log[x])","A",1
9457,1,25,22,0.0102427,"\int \frac{e^5 \left(-2100+2370 x+160 x^2\right)}{33075 x^3-49770 x^4+16203 x^5+1896 x^6+48 x^7} \, dx","Integrate[(E^5*(-2100 + 2370*x + 160*x^2))/(33075*x^3 - 49770*x^4 + 16203*x^5 + 1896*x^6 + 48*x^7),x]","\frac{10 e^5}{3 \left(-4 x^4-79 x^3+105 x^2\right)}","-\frac{10 e^5}{3 x^2 (x+21) (4 x-5)}",1,"(10*E^5)/(3*(105*x^2 - 79*x^3 - 4*x^4))","A",1
9458,1,21,16,0.0092814,"\int \frac{-5 \log (256)+5 \log (256) \log (x)+(-14+10 x+5 \log (4)) \log ^2(x)}{5 \log ^2(x)} \, dx","Integrate[(-5*Log[256] + 5*Log[256]*Log[x] + (-14 + 10*x + 5*Log[4])*Log[x]^2)/(5*Log[x]^2),x]","x^2-\frac{14 x}{5}+\frac{x \log (256)}{\log (x)}+x \log (4)","x \left(x+\frac{\log (256)}{\log (x)}-\frac{14}{5}+\log (4)\right)",1,"(-14*x)/5 + x^2 + x*Log[4] + (x*Log[256])/Log[x]","A",1
9459,1,31,32,0.0649722,"\int \frac{175-45 x-663 x^2+61 x^3+54 x^4-8 x^5+\left(-175+70 x-7 x^2\right) \log (x)}{50 x^2-20 x^3+2 x^4} \, dx","Integrate[(175 - 45*x - 663*x^2 + 61*x^3 + 54*x^4 - 8*x^5 + (-175 + 70*x - 7*x^2)*Log[x])/(50*x^2 - 20*x^3 + 2*x^4),x]","\frac{1}{2} \left(-4 x^2-26 x-\frac{10}{5-x}+\log (x)+\frac{7 \log (x)}{x}\right)","-\frac{x}{5-x}+x+(2 x+14) \left(\frac{\log (x)}{4 x}-x\right)+4",1,"(-10/(5 - x) - 26*x - 4*x^2 + Log[x] + (7*Log[x])/x)/2","A",1
9460,1,28,35,0.4012402,"\int \frac{e^{2 x} (-4+4 x)+e^{\frac{e^x+4 x}{2 x}} \left(e^{3 x} (1-x)+e^{2 x} \left(2 x-4 x^2\right)\right)}{2 x^3} \, dx","Integrate[(E^(2*x)*(-4 + 4*x) + E^((E^x + 4*x)/(2*x))*(E^(3*x)*(1 - x) + E^(2*x)*(2*x - 4*x^2)))/(2*x^3),x]","-\frac{e^{2 x} \left(e^{\frac{e^x}{2 x}+2} x-1\right)}{x^2}","1-\frac{e^{2 x+\frac{e^x}{2 x}+2}-\frac{e^{2 x}}{x}}{x}",1,"-((E^(2*x)*(-1 + E^(2 + E^x/(2*x))*x))/x^2)","A",1
9461,1,52,31,0.9418361,"\int \frac{-18 x+72 x^2+e^{\frac{1}{9} \left(e^{x/2}-6 e^{x/4} x+9 x^2\right)} \left(-72 x+e^{x/2} x+36 x^2+e^{x/4} \left(-12 x-3 x^2\right)\right)+\left(36 e^{\frac{1}{9} \left(e^{x/2}-6 e^{x/4} x+9 x^2\right)} x-36 x^2\right) \log \left(-e^{\frac{1}{9} \left(e^{x/2}-6 e^{x/4} x+9 x^2\right)}+x\right)+\left(-36 e^{\frac{1}{9} \left(e^{x/2}-6 e^{x/4} x+9 x^2\right)}+36 x+\left(18 e^{\frac{1}{9} \left(e^{x/2}-6 e^{x/4} x+9 x^2\right)}-18 x\right) \log \left(-e^{\frac{1}{9} \left(e^{x/2}-6 e^{x/4} x+9 x^2\right)}+x\right)\right) \log \left(2-\log \left(-e^{\frac{1}{9} \left(e^{x/2}-6 e^{x/4} x+9 x^2\right)}+x\right)\right)}{-36 e^{\frac{1}{9} \left(e^{x/2}-6 e^{x/4} x+9 x^2\right)}+36 x+\left(18 e^{\frac{1}{9} \left(e^{x/2}-6 e^{x/4} x+9 x^2\right)}-18 x\right) \log \left(-e^{\frac{1}{9} \left(e^{x/2}-6 e^{x/4} x+9 x^2\right)}+x\right)} \, dx","Integrate[(-18*x + 72*x^2 + E^((E^(x/2) - 6*E^(x/4)*x + 9*x^2)/9)*(-72*x + E^(x/2)*x + 36*x^2 + E^(x/4)*(-12*x - 3*x^2)) + (36*E^((E^(x/2) - 6*E^(x/4)*x + 9*x^2)/9)*x - 36*x^2)*Log[-E^((E^(x/2) - 6*E^(x/4)*x + 9*x^2)/9) + x] + (-36*E^((E^(x/2) - 6*E^(x/4)*x + 9*x^2)/9) + 36*x + (18*E^((E^(x/2) - 6*E^(x/4)*x + 9*x^2)/9) - 18*x)*Log[-E^((E^(x/2) - 6*E^(x/4)*x + 9*x^2)/9) + x])*Log[2 - Log[-E^((E^(x/2) - 6*E^(x/4)*x + 9*x^2)/9) + x]])/(-36*E^((E^(x/2) - 6*E^(x/4)*x + 9*x^2)/9) + 36*x + (18*E^((E^(x/2) - 6*E^(x/4)*x + 9*x^2)/9) - 18*x)*Log[-E^((E^(x/2) - 6*E^(x/4)*x + 9*x^2)/9) + x]),x]","\frac{1}{18} \left(18 x^2+18 x \log \left(2-\log \left(x-e^{x^2-\frac{2}{3} e^{x/4} x+\frac{e^{x/2}}{9}}\right)\right)\right)","x \left(x+\log \left(2-\log \left(x-e^{\left(x-\frac{e^{x/4}}{3}\right)^2}\right)\right)\right)",1,"(18*x^2 + 18*x*Log[2 - Log[-E^(E^(x/2)/9 - (2*E^(x/4)*x)/3 + x^2) + x]])/18","A",1
9462,1,43,23,0.859553,"\int \frac{8 x-9 \log (2)+(-2 x+2 \log (2)) \log (x)+(x-\log (2)) \log (2 x-2 \log (2))}{-49 x+28 x^2-4 x^3+\left(49-28 x+4 x^2\right) \log (2)+(-4 x+4 \log (2)) \log ^2(x)+\left(-14 x+4 x^2+(14-4 x) \log (2)\right) \log (2 x-2 \log (2))+(-x+\log (2)) \log ^2(2 x-2 \log (2))+\log (x) \left(28 x-8 x^2+(-28+8 x) \log (2)+(4 x-4 \log (2)) \log (2 x-2 \log (2))\right)} \, dx","Integrate[(8*x - 9*Log[2] + (-2*x + 2*Log[2])*Log[x] + (x - Log[2])*Log[2*x - 2*Log[2]])/(-49*x + 28*x^2 - 4*x^3 + (49 - 28*x + 4*x^2)*Log[2] + (-4*x + 4*Log[2])*Log[x]^2 + (-14*x + 4*x^2 + (14 - 4*x)*Log[2])*Log[2*x - 2*Log[2]] + (-x + Log[2])*Log[2*x - 2*Log[2]]^2 + Log[x]*(28*x - 8*x^2 + (-28 + 8*x)*Log[2] + (4*x - 4*Log[2])*Log[2*x - 2*Log[2]])),x]","\frac{x (2 x-\log (4))}{2 (x-\log (2)) (2 x+2 \log (x)-\log (2 x-\log (4))-7)}","-\frac{x}{-2 x-2 \log (x)+\log (-2 (\log (2)-x))+7}",1,"(x*(2*x - Log[4]))/(2*(x - Log[2])*(-7 + 2*x + 2*Log[x] - Log[2*x - Log[4]]))","A",1
9463,1,53,25,0.0587309,"\int \frac{22500 x-7800 x^2+100 x^3+\left(22500 x-7800 x^2+100 x^3\right) \log (2)+\left(-22500+37500 x-15100 x^2+100 x^3+\left(-22500+37500 x-15100 x^2+100 x^3\right) \log (2)\right) \log (-1+x)}{-5625+5775 x-151 x^2+x^3} \, dx","Integrate[(22500*x - 7800*x^2 + 100*x^3 + (22500*x - 7800*x^2 + 100*x^3)*Log[2] + (-22500 + 37500*x - 15100*x^2 + 100*x^3 + (-22500 + 37500*x - 15100*x^2 + 100*x^3)*Log[2])*Log[-1 + x])/(-5625 + 5775*x - 151*x^2 + x^3),x]","\frac{100}{37} (1+\log (2)) \left(\log (1-x)+2700 \log (75-x)+37 (x-1) \log (x-1)+\frac{199800 \log (x-1)}{x-75}+5400 \tanh ^{-1}\left(\frac{x-38}{37}\right)\right)","\frac{4 (3-x) x (1+\log (2)) \log (x-1)}{3-\frac{x}{25}}",1,"(100*(1 + Log[2])*(5400*ArcTanh[(-38 + x)/37] + Log[1 - x] + 2700*Log[75 - x] + (199800*Log[-1 + x])/(-75 + x) + 37*(-1 + x)*Log[-1 + x]))/37","B",1
9464,1,32,28,1.2663917,"\int \frac{224 e^{10+2 x}+e^{5+x} \left(40-56 x+32 x^2-4 x^3\right)}{25 x^2-10 x^3+x^4+e^{10+2 x} \left(4096-512 x+16 x^2\right)+e^{5+x} \left(640 x-168 x^2+8 x^3\right)} \, dx","Integrate[(224*E^(10 + 2*x) + E^(5 + x)*(40 - 56*x + 32*x^2 - 4*x^3))/(25*x^2 - 10*x^3 + x^4 + E^(10 + 2*x)*(4096 - 512*x + 16*x^2) + E^(5 + x)*(640*x - 168*x^2 + 8*x^3)),x]","\frac{(x-5) x-56 e^{x+5}}{4 e^{x+5} (x-16)+(x-5) x}","\frac{x-2}{\frac{1}{4} e^{-x-5} (5-x) x-x+16}",1,"(-56*E^(5 + x) + (-5 + x)*x)/(4*E^(5 + x)*(-16 + x) + (-5 + x)*x)","A",1
9465,1,20,15,0.0060069,"\int \frac{-4+10 e-5 x}{8 e-4 x} \, dx","Integrate[(-4 + 10*E - 5*x)/(8*E - 4*x),x]","\log (8 e-4 x)-\frac{5}{16} (8 e-4 x)","\frac{5 x}{4}+\log (x-2 e)-\frac{3}{10}",1,"(-5*(8*E - 4*x))/16 + Log[8*E - 4*x]","A",1
9466,1,28,28,0.147573,"\int \frac{10 x-2 x^2-10 x \log (x)+\left(\left(10 x-2 x^2\right) \log (x)+\left(450-180 x+18 x^2\right) \log ^2(x)\right) \log \left(\frac{x+(45-9 x) \log (x)}{(-5+x) \log (x)}\right)+\left(\left(65 x+77 x^2-18 x^3\right) \log (x)+\left(2925+2880 x-1503 x^2+162 x^3\right) \log ^2(x)\right) \log ^2\left(\frac{x+(45-9 x) \log (x)}{(-5+x) \log (x)}\right)}{\left(\left(5 x-x^2\right) \log (x)+\left(225-90 x+9 x^2\right) \log ^2(x)\right) \log ^2\left(\frac{x+(45-9 x) \log (x)}{(-5+x) \log (x)}\right)} \, dx","Integrate[(10*x - 2*x^2 - 10*x*Log[x] + ((10*x - 2*x^2)*Log[x] + (450 - 180*x + 18*x^2)*Log[x]^2)*Log[(x + (45 - 9*x)*Log[x])/((-5 + x)*Log[x])] + ((65*x + 77*x^2 - 18*x^3)*Log[x] + (2925 + 2880*x - 1503*x^2 + 162*x^3)*Log[x]^2)*Log[(x + (45 - 9*x)*Log[x])/((-5 + x)*Log[x])]^2)/(((5*x - x^2)*Log[x] + (225 - 90*x + 9*x^2)*Log[x]^2)*Log[(x + (45 - 9*x)*Log[x])/((-5 + x)*Log[x])]^2),x]","9 x^2+13 x+\frac{2 x}{\log \left(\frac{x}{(x-5) \log (x)}-9\right)}","(3 x+2)^2+x+\frac{2 x}{\log \left(\frac{x}{(x-5) \log (x)}-9\right)}",1,"13*x + 9*x^2 + (2*x)/Log[-9 + x/((-5 + x)*Log[x])]","A",1
9467,1,26,28,0.5140938,"\int \frac{e^{4 e^{2 x}+x^2} \left(16+32 x^2-2 x^3-2 e^5 x^3+e^{2 x} \left(128 x-8 x^2-8 e^5 x^2\right)\right)}{256-32 x+x^2+e^{10} x^2+e^5 \left(-32 x+2 x^2\right)} \, dx","Integrate[(E^(4*E^(2*x) + x^2)*(16 + 32*x^2 - 2*x^3 - 2*E^5*x^3 + E^(2*x)*(128*x - 8*x^2 - 8*E^5*x^2)))/(256 - 32*x + x^2 + E^10*x^2 + E^5*(-32*x + 2*x^2)),x]","-\frac{e^{x^2+4 e^{2 x}} x}{e^5 x+x-16}","\frac{e^{x^2+4 e^{2 x}} x}{-e^5 x-x+16}",1,"-((E^(4*E^(2*x) + x^2)*x)/(-16 + x + E^5*x))","A",1
9468,1,28,21,0.0367459,"\int \frac{36 x^2+\left(12-36 x+12 x^2\right) \log (4)+\left(8-6 x+x^2\right) \log ^2(4)}{36 x^2+\left(-36 x+12 x^2\right) \log (4)+\left(9-6 x+x^2\right) \log ^2(4)} \, dx","Integrate[(36*x^2 + (12 - 36*x + 12*x^2)*Log[4] + (8 - 6*x + x^2)*Log[4]^2)/(36*x^2 + (-36*x + 12*x^2)*Log[4] + (9 - 6*x + x^2)*Log[4]^2),x]","x+\frac{(\log (4)-12) \log (4)}{(6+\log (4)) (x (6+\log (4))-3 \log (4))}","x-\frac{2-x}{x+\frac{6 x}{\log (4)}-3}",1,"x + ((-12 + Log[4])*Log[4])/((6 + Log[4])*(-3*Log[4] + x*(6 + Log[4])))","A",1
9469,1,29,23,0.0173071,"\int \frac{1}{3} \left(-6 e^{8-2 x}+6 e^{4-x}+\left(-2 e^{8-2 x}+2 e^{4-x}\right) \log \left(\frac{4}{e^4}\right)\right) \, dx","Integrate[(-6*E^(8 - 2*x) + 6*E^(4 - x) + (-2*E^(8 - 2*x) + 2*E^(4 - x))*Log[4/E^4])/3,x]","\frac{2}{3} \left(\frac{1}{2} e^{8-2 x}-e^{4-x}\right) (\log (4)-1)","\frac{1}{3} \left(e^{4-x}-1\right)^2 \left(3+\log \left(\frac{4}{e^4}\right)\right)",1,"(2*(E^(8 - 2*x)/2 - E^(4 - x))*(-1 + Log[4]))/3","A",1
9470,1,28,23,0.6739719,"\int \frac{-4 \log ^2(5) \log \left(x^2\right)+2 \log ^2(5) \log ^2\left(x^2\right)+(-34+3 x) \log ^4\left(x^2\right)}{x^3 \log ^4(5)+\left(-34 x^3+2 x^4\right) \log ^2(5) \log ^2\left(x^2\right)+\left(289 x^3-34 x^4+x^5\right) \log ^4\left(x^2\right)} \, dx","Integrate[(-4*Log[5]^2*Log[x^2] + 2*Log[5]^2*Log[x^2]^2 + (-34 + 3*x)*Log[x^2]^4)/(x^3*Log[5]^4 + (-34*x^3 + 2*x^4)*Log[5]^2*Log[x^2]^2 + (289*x^3 - 34*x^4 + x^5)*Log[x^2]^4),x]","-\frac{\log ^2\left(x^2\right)}{x^2 \left((x-17) \log ^2\left(x^2\right)+\log ^2(5)\right)}","\frac{1}{x^2 \left(-\frac{\log ^2(5)}{\log ^2\left(x^2\right)}-x+17\right)}",1,"-(Log[x^2]^2/(x^2*(Log[5]^2 + (-17 + x)*Log[x^2]^2)))","A",1
9471,1,28,32,0.0966658,"\int \frac{14 x+36 x^2+28 x^3+6 x^4+\left(16+7 x+17 x^2+7 x^3+x^4\right) \log \left(\frac{e^4}{256 x^2+224 x^3+337 x^4+238 x^5+82 x^6+14 x^7+x^8}\right)}{64+28 x+68 x^2+28 x^3+4 x^4+\left(-64-28 x-68 x^2-28 x^3-4 x^4\right) \log \left(\frac{e^4}{256 x^2+224 x^3+337 x^4+238 x^5+82 x^6+14 x^7+x^8}\right)+\left(16+7 x+17 x^2+7 x^3+x^4\right) \log ^2\left(\frac{e^4}{256 x^2+224 x^3+337 x^4+238 x^5+82 x^6+14 x^7+x^8}\right)} \, dx","Integrate[(14*x + 36*x^2 + 28*x^3 + 6*x^4 + (16 + 7*x + 17*x^2 + 7*x^3 + x^4)*Log[E^4/(256*x^2 + 224*x^3 + 337*x^4 + 238*x^5 + 82*x^6 + 14*x^7 + x^8)])/(64 + 28*x + 68*x^2 + 28*x^3 + 4*x^4 + (-64 - 28*x - 68*x^2 - 28*x^3 - 4*x^4)*Log[E^4/(256*x^2 + 224*x^3 + 337*x^4 + 238*x^5 + 82*x^6 + 14*x^7 + x^8)] + (16 + 7*x + 17*x^2 + 7*x^3 + x^4)*Log[E^4/(256*x^2 + 224*x^3 + 337*x^4 + 238*x^5 + 82*x^6 + 14*x^7 + x^8)]^2),x]","\frac{x}{\log \left(\frac{1}{x^2 \left(x^2+1\right) \left(x^2+7 x+16\right)^2}\right)+2}","\frac{x}{\log \left(\frac{e^4}{x^2 \left(x^2+1\right) \left(x-(x+4)^2\right)^2}\right)-2}",1,"x/(2 + Log[1/(x^2*(1 + x^2)*(16 + 7*x + x^2)^2)])","A",1
9472,1,949,28,0.3606389,"\int \frac{32+32 e^3-32 e^{\frac{e^3}{15}}-32 x^2+\left(2+2 e^3-2 e^{\frac{e^3}{15}}-2 x^2\right) \log \left(\frac{1+e^3-e^{\frac{e^3}{15}}-4 x+x^2}{x}\right)}{-x-e^3 x+e^{\frac{e^3}{15}} x+4 x^2-x^3} \, dx","Integrate[(32 + 32*E^3 - 32*E^(E^3/15) - 32*x^2 + (2 + 2*E^3 - 2*E^(E^3/15) - 2*x^2)*Log[(1 + E^3 - E^(E^3/15) - 4*x + x^2)/x])/(-x - E^3*x + E^(E^3/15)*x + 4*x^2 - x^3),x]","2 \left(-\frac{1}{2} \log ^2(x)+\log \left(\frac{-i x+\sqrt{-3+e^3-e^{\frac{e^3}{15}}}+2 i}{2 i+\sqrt{-3+e^3-e^{\frac{e^3}{15}}}}\right) \log (x)+\log \left(\frac{i x+\sqrt{-3+e^3-e^{\frac{e^3}{15}}}-2 i}{-2 i+\sqrt{-3+e^3-e^{\frac{e^3}{15}}}}\right) \log (x)-\left(\log \left(\frac{x^2-4 x-e^{\frac{e^3}{15}}+e^3+1}{x}\right)+16\right) \log (x)-\frac{1}{2} \log ^2\left(2 \left(x-i \sqrt{-3+e^3-e^{\frac{e^3}{15}}}-2\right)\right)-\frac{1}{2} \log ^2\left(2 \left(x+i \sqrt{-3+e^3-e^{\frac{e^3}{15}}}-2\right)\right)-\log \left(\frac{-i x+\sqrt{-3+e^3-e^{\frac{e^3}{15}}}+2 i}{2 \sqrt{-3+e^3-e^{\frac{e^3}{15}}}}\right) \log \left(2 \left(x-i \sqrt{-3+e^3-e^{\frac{e^3}{15}}}-2\right)\right)+\log \left(\frac{2 x}{4+2 i \sqrt{-3+e^3-e^{\frac{e^3}{15}}}}\right) \log \left(2 \left(x-i \sqrt{-3+e^3-e^{\frac{e^3}{15}}}-2\right)\right)-\log \left(\frac{i x+\sqrt{-3+e^3-e^{\frac{e^3}{15}}}-2 i}{2 \sqrt{-3+e^3-e^{\frac{e^3}{15}}}}\right) \log \left(2 \left(x+i \sqrt{-3+e^3-e^{\frac{e^3}{15}}}-2\right)\right)+\log \left(\frac{i x}{2 i+\sqrt{-3+e^3-e^{\frac{e^3}{15}}}}\right) \log \left(2 \left(x+i \sqrt{-3+e^3-e^{\frac{e^3}{15}}}-2\right)\right)+\log \left(2 \left(x-i \sqrt{-3+e^3-e^{\frac{e^3}{15}}}-2\right)\right) \left(\log \left(\frac{x^2-4 x-e^{\frac{e^3}{15}}+e^3+1}{x}\right)+16\right)+\log \left(2 \left(x+i \sqrt{-3+e^3-e^{\frac{e^3}{15}}}-2\right)\right) \left(\log \left(\frac{x^2-4 x-e^{\frac{e^3}{15}}+e^3+1}{x}\right)+16\right)-\text{Li}_2\left(\frac{-i x+\sqrt{-3+e^3-e^{\frac{e^3}{15}}}+2 i}{2 \sqrt{-3+e^3-e^{\frac{e^3}{15}}}}\right)+\text{Li}_2\left(\frac{-i x+\sqrt{-3+e^3-e^{\frac{e^3}{15}}}+2 i}{2 i+\sqrt{-3+e^3-e^{\frac{e^3}{15}}}}\right)-\text{Li}_2\left(\frac{i x+\sqrt{-3+e^3-e^{\frac{e^3}{15}}}-2 i}{2 \sqrt{-3+e^3-e^{\frac{e^3}{15}}}}\right)+\text{Li}_2\left(\frac{i x+\sqrt{-3+e^3-e^{\frac{e^3}{15}}}-2 i}{-2 i+\sqrt{-3+e^3-e^{\frac{e^3}{15}}}}\right)+\text{Li}_2\left(\frac{x}{2+i \sqrt{-3+e^3-e^{\frac{e^3}{15}}}}\right)+\text{Li}_2\left(\frac{i x}{2 i+\sqrt{-3+e^3-e^{\frac{e^3}{15}}}}\right)\right)","\left(\log \left(x+\frac{1+e^3-e^{\frac{e^3}{15}}}{x}-4\right)+16\right)^2",1,"2*(Log[(2*I + Sqrt[-3 + E^3 - E^(E^3/15)] - I*x)/(2*I + Sqrt[-3 + E^3 - E^(E^3/15)])]*Log[x] + Log[(-2*I + Sqrt[-3 + E^3 - E^(E^3/15)] + I*x)/(-2*I + Sqrt[-3 + E^3 - E^(E^3/15)])]*Log[x] - Log[x]^2/2 - Log[(2*I + Sqrt[-3 + E^3 - E^(E^3/15)] - I*x)/(2*Sqrt[-3 + E^3 - E^(E^3/15)])]*Log[2*(-2 - I*Sqrt[-3 + E^3 - E^(E^3/15)] + x)] + Log[(2*x)/(4 + (2*I)*Sqrt[-3 + E^3 - E^(E^3/15)])]*Log[2*(-2 - I*Sqrt[-3 + E^3 - E^(E^3/15)] + x)] - Log[2*(-2 - I*Sqrt[-3 + E^3 - E^(E^3/15)] + x)]^2/2 - Log[(-2*I + Sqrt[-3 + E^3 - E^(E^3/15)] + I*x)/(2*Sqrt[-3 + E^3 - E^(E^3/15)])]*Log[2*(-2 + I*Sqrt[-3 + E^3 - E^(E^3/15)] + x)] + Log[(I*x)/(2*I + Sqrt[-3 + E^3 - E^(E^3/15)])]*Log[2*(-2 + I*Sqrt[-3 + E^3 - E^(E^3/15)] + x)] - Log[2*(-2 + I*Sqrt[-3 + E^3 - E^(E^3/15)] + x)]^2/2 - Log[x]*(16 + Log[(1 + E^3 - E^(E^3/15) - 4*x + x^2)/x]) + Log[2*(-2 - I*Sqrt[-3 + E^3 - E^(E^3/15)] + x)]*(16 + Log[(1 + E^3 - E^(E^3/15) - 4*x + x^2)/x]) + Log[2*(-2 + I*Sqrt[-3 + E^3 - E^(E^3/15)] + x)]*(16 + Log[(1 + E^3 - E^(E^3/15) - 4*x + x^2)/x]) - PolyLog[2, (2*I + Sqrt[-3 + E^3 - E^(E^3/15)] - I*x)/(2*Sqrt[-3 + E^3 - E^(E^3/15)])] + PolyLog[2, (2*I + Sqrt[-3 + E^3 - E^(E^3/15)] - I*x)/(2*I + Sqrt[-3 + E^3 - E^(E^3/15)])] - PolyLog[2, (-2*I + Sqrt[-3 + E^3 - E^(E^3/15)] + I*x)/(2*Sqrt[-3 + E^3 - E^(E^3/15)])] + PolyLog[2, (-2*I + Sqrt[-3 + E^3 - E^(E^3/15)] + I*x)/(-2*I + Sqrt[-3 + E^3 - E^(E^3/15)])] + PolyLog[2, x/(2 + I*Sqrt[-3 + E^3 - E^(E^3/15)])] + PolyLog[2, (I*x)/(2*I + Sqrt[-3 + E^3 - E^(E^3/15)])])","C",1
9473,1,16,22,0.0028557,"\int \frac{1}{5} \left(4-5 e^x-60 x^2\right) \, dx","Integrate[(4 - 5*E^x - 60*x^2)/5,x]","-4 x^3+\frac{4 x}{5}-e^x","-4 x \left(x^2-\frac{1}{5}\right)-e^x-e^2+11",1,"-E^x + (4*x)/5 - 4*x^3","A",1
9474,1,18,27,0.0243765,"\int \frac{-45+50 x^3-45 e^{1+x} x^3+90 \log (x)}{x^3} \, dx","Integrate[(-45 + 50*x^3 - 45*E^(1 + x)*x^3 + 90*Log[x])/x^3,x]","-\frac{45 \log (x)}{x^2}+50 x-45 e^{x+1}","5 \left(9 \left(-\frac{\log (x)}{x^2}+x-e^{x+1}+e^{e^2}\right)+x\right)",1,"-45*E^(1 + x) + 50*x - (45*Log[x])/x^2","A",1
9475,1,26,25,0.4127037,"\int \frac{16+4 x^2+e^{2 x+2 x^3+2 x^2 \log \left(4+x^2\right)} \left(-8-26 x^2-4 x^3-6 x^4+\left(-16 x-4 x^3\right) \log \left(4+x^2\right)\right)}{4+x^2} \, dx","Integrate[(16 + 4*x^2 + E^(2*x + 2*x^3 + 2*x^2*Log[4 + x^2])*(-8 - 26*x^2 - 4*x^3 - 6*x^4 + (-16*x - 4*x^3)*Log[4 + x^2]))/(4 + x^2),x]","4 x-e^{2 \left(x^3+x\right)} \left(x^2+4\right)^{2 x^2}","4 x-e^{2 x^2 \left(\log \left(x^2+4\right)+x\right)+2 x}",1,"4*x - E^(2*(x + x^3))*(4 + x^2)^(2*x^2)","A",1
9476,1,15,20,0.016347,"\int \frac{x-7 x^2+x^3+(-7+x) \log \left(-\frac{12}{-7+x}\right)}{-7 x^2+x^3} \, dx","Integrate[(x - 7*x^2 + x^3 + (-7 + x)*Log[-12/(-7 + x)])/(-7*x^2 + x^3),x]","x-\frac{\log \left(-\frac{12}{x-7}\right)}{x}","x+\frac{x-\log \left(\frac{12}{7-x}\right)}{x}",1,"x - Log[-12/(-7 + x)]/x","A",1
9477,1,30,27,1.1216698,"\int \frac{2-e^{-1+x}-e^x+\left(e^{-1+x} x+e^x x\right) \log (x)-x \log ^2(x)}{\left(2 x-e^{-1+x} x-e^x x\right) \log (x)+\left(4 x+x^2\right) \log ^2(x)} \, dx","Integrate[(2 - E^(-1 + x) - E^x + (E^(-1 + x)*x + E^x*x)*Log[x] - x*Log[x]^2)/((2*x - E^(-1 + x)*x - E^x*x)*Log[x] + (4*x + x^2)*Log[x]^2),x]","\log (\log (x))-\log \left(e^x+e^{x+1}-e x \log (x)-4 e \log (x)-2 e\right)","\log \left(-\frac{2}{x+\frac{-e^{x-1}-e^x+2}{\log (x)}+4}\right)",1,"Log[Log[x]] - Log[-2*E + E^x + E^(1 + x) - 4*E*Log[x] - E*x*Log[x]]","A",1
9478,1,31,26,0.1623867,"\int \frac{15-36 x^2-8 x^3+e^{\frac{1}{3} \left(11+3 e^4+3 x\right)} \left(24 x+16 x^2+4 x^3\right)}{9+6 x+x^2} \, dx","Integrate[(15 - 36*x^2 - 8*x^3 + E^((11 + 3*E^4 + 3*x)/3)*(24*x + 16*x^2 + 4*x^3))/(9 + 6*x + x^2),x]","\frac{-4 x^3+4 e^{x+e^4+\frac{11}{3}} x^2+36 x+93}{x+3}","\frac{x \left(5-4 x \left(x-e^{x+e^4+\frac{11}{3}}\right)\right)}{x+3}",1,"(93 + 36*x + 4*E^(11/3 + E^4 + x)*x^2 - 4*x^3)/(3 + x)","A",1
9479,1,14,17,0.0014383,"\int \frac{\log (2)-\log (2) \log (5)}{x \log (64)} \, dx","Integrate[(Log[2] - Log[2]*Log[5])/(x*Log[64]),x]","-\frac{\log (2) (\log (5)-1) \log (x)}{\log (64)}","\frac{\log (2) (\log (5)-1) \log \left(\frac{15}{x}\right)}{\log (64)}",1,"-((Log[2]*(-1 + Log[5])*Log[x])/Log[64])","A",1
9480,1,21,24,0.1175673,"\int \frac{-2 e^{1+x} x+e^{5+2 x} \left(-1+x+x^2\right)+\left(-e^{1+x} x^2+e^{5+2 x} \left(-x+x^2\right)\right) \log \left(x^2+e^{4+x} \left(x-x^2\right)\right)}{-x^2+e^{4+x} \left(-x+x^2\right)} \, dx","Integrate[(-2*E^(1 + x)*x + E^(5 + 2*x)*(-1 + x + x^2) + (-(E^(1 + x)*x^2) + E^(5 + 2*x)*(-x + x^2))*Log[x^2 + E^(4 + x)*(x - x^2)])/(-x^2 + E^(4 + x)*(-x + x^2)),x]","e^{x+1} \log \left(x \left(x-e^{x+4} (x-1)\right)\right)","e^{x+1} \log \left(x^2+e^{x+4} \left(x-x^2\right)\right)",1,"E^(1 + x)*Log[x*(-(E^(4 + x)*(-1 + x)) + x)]","A",1
9481,1,71,31,0.081718,"\int \frac{20 x+4 x^2+e^4 \left(-60 x^2-144 x^3-24 x^4\right)+72 x^2 \log (4)+\left(44 x^2+8 x^3\right) \log (x)+\left(10+2 x+e^4 \left(-30 x-72 x^2-12 x^3\right)+36 x \log (4)+\left(22 x+4 x^2\right) \log (x)\right) \log \left(\frac{e^4 \left(15 x+3 x^2\right)-9 \log (4)+(-5-x) \log (x)}{3 \log (4)}\right)}{e^4 \left(-15 x^2-3 x^3\right)+9 x \log (4)+\left(5 x+x^2\right) \log (x)} \, dx","Integrate[(20*x + 4*x^2 + E^4*(-60*x^2 - 144*x^3 - 24*x^4) + 72*x^2*Log[4] + (44*x^2 + 8*x^3)*Log[x] + (10 + 2*x + E^4*(-30*x - 72*x^2 - 12*x^3) + 36*x*Log[4] + (22*x + 4*x^2)*Log[x])*Log[(E^4*(15*x + 3*x^2) - 9*Log[4] + (-5 - x)*Log[x])/(3*Log[4])])/(E^4*(-15*x^2 - 3*x^3) + 9*x*Log[4] + (5*x + x^2)*Log[x]),x]","-2 \left(-2 x^2-\frac{1}{2} \log ^2\left(\frac{3 e^4 x (x+5)-(x+5) \log (x)-9 \log (4)}{\log (64)}\right)-2 x \log \left(\frac{3 e^4 x (x+5)-(x+5) \log (x)-9 \log (4)}{\log (64)}\right)\right)","\left(2 x+\log \left(\frac{(x+5) \left(3 e^4 x-\log (x)\right)}{3 \log (4)}-3\right)\right)^2",1,"-2*(-2*x^2 - 2*x*Log[(3*E^4*x*(5 + x) - 9*Log[4] - (5 + x)*Log[x])/Log[64]] - Log[(3*E^4*x*(5 + x) - 9*Log[4] - (5 + x)*Log[x])/Log[64]]^2/2)","B",1
9482,1,18,14,0.0377891,"\int \frac{-1-x-\frac{e^x x}{4}}{e^2 x+\frac{1}{16} e^{2 x} x+2 e x^2+x^3+\left(2 e x+2 x^2\right) \log (x)+x \log ^2(x)+\frac{e^x \left(2 e x^2+2 x^3+2 x^2 \log (x)\right)}{4 x}} \, dx","Integrate[(-1 - x - (E^x*x)/4)/(E^2*x + (E^(2*x)*x)/16 + 2*E*x^2 + x^3 + (2*E*x + 2*x^2)*Log[x] + x*Log[x]^2 + (E^x*(2*E*x^2 + 2*x^3 + 2*x^2*Log[x]))/(4*x)),x]","\frac{4}{4 x+e^x+4 \log (x)+4 e}","\frac{1}{x+\frac{e^x}{4}+\log (x)+e}",1,"4/(4*E + E^x + 4*x + 4*Log[x])","A",1
9483,1,21,21,0.5524615,"\int \frac{-16-8 x^2 \log (x)+\left(-8 x^2 \log (x)-32 \log (x) \log (\log (x))\right) \log \left(\frac{1}{4} \left(x^2+4 \log (\log (x))\right)\right)}{\left(9 x^7 \log (x)+36 x^5 \log (x) \log (\log (x))\right) \log ^3\left(\frac{1}{4} \left(x^2+4 \log (\log (x))\right)\right)} \, dx","Integrate[(-16 - 8*x^2*Log[x] + (-8*x^2*Log[x] - 32*Log[x]*Log[Log[x]])*Log[(x^2 + 4*Log[Log[x]])/4])/((9*x^7*Log[x] + 36*x^5*Log[x]*Log[Log[x]])*Log[(x^2 + 4*Log[Log[x]])/4]^3),x]","\frac{2}{9 x^4 \log ^2\left(\frac{x^2}{4}+\log (\log (x))\right)}","\frac{2}{9 x^4 \log ^2\left(\frac{x^2}{4}+\log (\log (x))\right)}",1,"2/(9*x^4*Log[x^2/4 + Log[Log[x]]]^2)","A",1
9484,1,28,28,0.2945272,"\int \frac{e^{-2-\frac{-4 x+e^2 x \log \left(x^2\right)}{e^2}} \left(-e^2 \log \left(\frac{25}{2}\right)+\left(-20+e^2 (10-2 x)+4 x\right) \log \left(\frac{25}{2}\right) \log (5-x)+e^2 (5-x) \log \left(\frac{25}{2}\right) \log (5-x) \log \left(x^2\right)\right)}{(-5+x) \log ^2(5-x)} \, dx","Integrate[(E^(-2 - (-4*x + E^2*x*Log[x^2])/E^2)*(-(E^2*Log[25/2]) + (-20 + E^2*(10 - 2*x) + 4*x)*Log[25/2]*Log[5 - x] + E^2*(5 - x)*Log[25/2]*Log[5 - x]*Log[x^2]))/((-5 + x)*Log[5 - x]^2),x]","\frac{e^{\frac{4 x}{e^2}} \left(x^2\right)^{-x} \log \left(\frac{25}{2}\right)}{\log (5-x)}","\frac{\log \left(\frac{25}{2}\right) e^{-x \left(\log \left(x^2\right)-\frac{4}{e^2}\right)}}{\log (5-x)}",1,"(E^((4*x)/E^2)*Log[25/2])/((x^2)^x*Log[5 - x])","A",1
9485,1,16,16,0.0800701,"\int \frac{-2 e^{4 x}+e^{4 x} (-4+8 x) \log (x)}{3 x^3 \log ^2(x)} \, dx","Integrate[(-2*E^(4*x) + E^(4*x)*(-4 + 8*x)*Log[x])/(3*x^3*Log[x]^2),x]","\frac{2 e^{4 x}}{3 x^2 \log (x)}","\frac{2 e^{4 x}}{3 x^2 \log (x)}",1,"(2*E^(4*x))/(3*x^2*Log[x])","A",1
9486,0,0,26,1.4792187,"\int \frac{e^{\frac{3-2 x}{x}+\frac{2}{-3+x+\log (4)}} \left(-27+27 x-11 x^2+x^3+\left(18-12 x+2 x^2\right) \log (4)+(-3+x) \log ^2(4)\right)+e^{\frac{3-2 x}{x}} \left(27 x-36 x^2+15 x^3-2 x^4+\left(-18 x+18 x^2-4 x^3\right) \log (4)+\left(3 x-2 x^2\right) \log ^2(4)\right)}{9 x-6 x^2+x^3+\left(-6 x+2 x^2\right) \log (4)+x \log ^2(4)} \, dx","Integrate[(E^((3 - 2*x)/x + 2/(-3 + x + Log[4]))*(-27 + 27*x - 11*x^2 + x^3 + (18 - 12*x + 2*x^2)*Log[4] + (-3 + x)*Log[4]^2) + E^((3 - 2*x)/x)*(27*x - 36*x^2 + 15*x^3 - 2*x^4 + (-18*x + 18*x^2 - 4*x^3)*Log[4] + (3*x - 2*x^2)*Log[4]^2))/(9*x - 6*x^2 + x^3 + (-6*x + 2*x^2)*Log[4] + x*Log[4]^2),x]","\int \frac{e^{\frac{3-2 x}{x}+\frac{2}{-3+x+\log (4)}} \left(-27+27 x-11 x^2+x^3+\left(18-12 x+2 x^2\right) \log (4)+(-3+x) \log ^2(4)\right)+e^{\frac{3-2 x}{x}} \left(27 x-36 x^2+15 x^3-2 x^4+\left(-18 x+18 x^2-4 x^3\right) \log (4)+\left(3 x-2 x^2\right) \log ^2(4)\right)}{9 x-6 x^2+x^3+\left(-6 x+2 x^2\right) \log (4)+x \log ^2(4)} \, dx","e^{\frac{3}{x}-2} x \left(e^{\frac{2}{x-3+\log (4)}}-x\right)",1,"Integrate[(E^((3 - 2*x)/x + 2/(-3 + x + Log[4]))*(-27 + 27*x - 11*x^2 + x^3 + (18 - 12*x + 2*x^2)*Log[4] + (-3 + x)*Log[4]^2) + E^((3 - 2*x)/x)*(27*x - 36*x^2 + 15*x^3 - 2*x^4 + (-18*x + 18*x^2 - 4*x^3)*Log[4] + (3*x - 2*x^2)*Log[4]^2))/(9*x - 6*x^2 + x^3 + (-6*x + 2*x^2)*Log[4] + x*Log[4]^2), x]","F",-1
9487,1,11,13,0.0009796,"\int \frac{3+3 x+2 x^2}{x} \, dx","Integrate[(3 + 3*x + 2*x^2)/x,x]","x^2+3 x+3 \log (x)","x^2+3 (x+\log (2 x)-2)",1,"3*x + x^2 + 3*Log[x]","A",1
9488,1,21,15,0.0169191,"\int \frac{175+25 e^{-25+15 x}+375 e^{-25+15 x} x \log (x)}{x} \, dx","Integrate[(175 + 25*E^(-25 + 15*x) + 375*E^(-25 + 15*x)*x*Log[x])/x,x]","\frac{25 \left(e^{15 x} \log (x)+7 e^{25} \log (x)\right)}{e^{25}}","25 \left(e^{5 (3 x-5)}+7\right) \log (x)",1,"(25*(7*E^25*Log[x] + E^(15*x)*Log[x]))/E^25","A",1
9489,1,42,35,0.3203466,"\int \frac{-3 e^3 x^2+3 x^3+e^{-2-2 x} \left(-18 e^3+18 x\right)+e^{-1-x} \left(-15 e^3 x+12 x^2-3 x^3\right)+\left(e^{-2-2 x} \left(-18+18 e^3\right)-3 x^2+3 e^3 x^2+e^{-1-x} \left(-12 x+15 e^3 x+3 x^2\right)\right) \log (x)+\left(18 e^{-2-2 x}+15 e^{-1-x} x+3 x^2+\left(-18 e^{-2-2 x}-15 e^{-1-x} x-3 x^2\right) \log (x)\right) \log \left(\frac{3 e^{-1-x} x+x^2}{2 e^{-1-x}+x}\right)}{6 e^{4-2 x} x^2+5 e^{5-x} x^3+e^6 x^4+\left(-12 e^{1-2 x} x^2-10 e^{2-x} x^3-2 e^3 x^4\right) \log \left(\frac{3 e^{-1-x} x+x^2}{2 e^{-1-x}+x}\right)+\left(6 e^{-2-2 x} x^2+5 e^{-1-x} x^3+x^4\right) \log ^2\left(\frac{3 e^{-1-x} x+x^2}{2 e^{-1-x}+x}\right)} \, dx","Integrate[(-3*E^3*x^2 + 3*x^3 + E^(-2 - 2*x)*(-18*E^3 + 18*x) + E^(-1 - x)*(-15*E^3*x + 12*x^2 - 3*x^3) + (E^(-2 - 2*x)*(-18 + 18*E^3) - 3*x^2 + 3*E^3*x^2 + E^(-1 - x)*(-12*x + 15*E^3*x + 3*x^2))*Log[x] + (18*E^(-2 - 2*x) + 15*E^(-1 - x)*x + 3*x^2 + (-18*E^(-2 - 2*x) - 15*E^(-1 - x)*x - 3*x^2)*Log[x])*Log[(3*E^(-1 - x)*x + x^2)/(2*E^(-1 - x) + x)])/(6*E^(4 - 2*x)*x^2 + 5*E^(5 - x)*x^3 + E^6*x^4 + (-12*E^(1 - 2*x)*x^2 - 10*E^(2 - x)*x^3 - 2*E^3*x^4)*Log[(3*E^(-1 - x)*x + x^2)/(2*E^(-1 - x) + x)] + (6*E^(-2 - 2*x)*x^2 + 5*E^(-1 - x)*x^3 + x^4)*Log[(3*E^(-1 - x)*x + x^2)/(2*E^(-1 - x) + x)]^2),x]","\frac{3 (\log (x)-x)}{x \left(\log \left(\frac{x \left(e^{x+1} x+3\right)}{e^{x+1} x+2}\right)-e^3\right)}","\frac{3 (\log (x)-x)}{x \left(\log \left(\frac{x}{e^{x+1} x+2}+x\right)-e^3\right)}",1,"(3*(-x + Log[x]))/(x*(-E^3 + Log[(x*(3 + E^(1 + x)*x))/(2 + E^(1 + x)*x)]))","A",1
9490,1,16,20,0.0018966,"\int e^{15/4} \left(10 x-15 x^2\right) \, dx","Integrate[E^(15/4)*(10*x - 15*x^2),x]","-5 e^{15/4} \left(x^3-x^2\right)","5 e^{15/4} x \left(x-x^2\right)-\log (4)",1,"-5*E^(15/4)*(-x^2 + x^3)","A",1
9491,1,21,22,0.0633017,"\int \frac{1}{9} \left(9+9 e^{\frac{1}{9} \left(36 x^2+16 x^5\right)}+\left(9+e^{\frac{1}{9} \left(36 x^2+16 x^5\right)} \left(9+72 x^2+80 x^5\right)\right) \log (x)\right) \, dx","Integrate[(9 + 9*E^((36*x^2 + 16*x^5)/9) + (9 + E^((36*x^2 + 16*x^5)/9)*(9 + 72*x^2 + 80*x^5))*Log[x])/9,x]","\left(e^{\frac{16 x^5}{9}+4 x^2}+1\right) x \log (x)","\left(e^{4 x \left(\frac{4 x^4}{9}+x\right)}+1\right) x \log (x)+1",1,"(1 + E^(4*x^2 + (16*x^5)/9))*x*Log[x]","A",1
9492,1,23,27,0.3715427,"\int \frac{e^x \left(-105+25 x+25 x^2-25 x^3\right)+e^x \left(105+55 x+25 x^2\right) \log (x)-105 e^x \log ^2(x)}{25 x^4-210 x^2 \log (x)+441 \log ^2(x)} \, dx","Integrate[(E^x*(-105 + 25*x + 25*x^2 - 25*x^3) + E^x*(105 + 55*x + 25*x^2)*Log[x] - 105*E^x*Log[x]^2)/(25*x^4 - 210*x^2*Log[x] + 441*Log[x]^2),x]","-\frac{5 e^x (x-\log (x))}{5 x^2-21 \log (x)}","\frac{e^x}{\frac{x-\frac{21}{5}}{1-\frac{x}{\log (x)}}-x}",1,"(-5*E^x*(x - Log[x]))/(5*x^2 - 21*Log[x])","A",1
9493,1,48,31,0.1989248,"\int \frac{e^{-x} \left(-e^x x+\exp \left(-24-e^{\frac{16 e^{-x}}{x}}+10 x-x^2+e^{\frac{8 e^{-x}}{x}} (-10+2 x)\right) \left(e^{\frac{16 e^{-x}}{x}} (16+16 x)+e^{\frac{8 e^{-x}}{x}} \left(80+64 x-16 x^2+2 e^x x^2\right)+e^x \left(10 x^2-2 x^3\right)\right)\right)}{x^2} \, dx","Integrate[(-(E^x*x) + E^(-24 - E^(16/(E^x*x)) + 10*x - x^2 + E^(8/(E^x*x))*(-10 + 2*x))*(E^(16/(E^x*x))*(16 + 16*x) + E^(8/(E^x*x))*(80 + 64*x - 16*x^2 + 2*E^x*x^2) + E^x*(10*x^2 - 2*x^3)))/(E^x*x^2),x]","\exp \left(-x^2+10 x-e^{\frac{16 e^{-x}}{x}}+2 e^{\frac{8 e^{-x}}{x}} (x-5)-24\right)-\log (x)","e^{1-\left(-x+e^{\frac{8 e^{-x}}{x}}+5\right)^2}-\log (x)+3",1,"E^(-24 - E^(16/(E^x*x)) + 2*E^(8/(E^x*x))*(-5 + x) + 10*x - x^2) - Log[x]","A",1
9494,1,14,14,0.0994798,"\int \frac{(8-2 x) \log (-4+x)+(x+(-4+x) \log (-4+x)) \log \left(x^2\right)+(-4+x) \log ^2\left(x^2\right)}{(-4+x) \log ^2\left(x^2\right)} \, dx","Integrate[((8 - 2*x)*Log[-4 + x] + (x + (-4 + x)*Log[-4 + x])*Log[x^2] + (-4 + x)*Log[x^2]^2)/((-4 + x)*Log[x^2]^2),x]","\frac{x \log (x-4)}{\log \left(x^2\right)}+x","\frac{x \log (x-4)}{\log \left(x^2\right)}+x",1,"x + (x*Log[-4 + x])/Log[x^2]","A",1
9495,1,46,20,0.0402515,"\int \frac{-256+16 x^4+15 e^{\frac{5 x^3}{2}} x^5+e^{\frac{5 x^3}{4}} \left(32 x+8 x^3-120 x^4+30 x^6\right)}{2 x^3} \, dx","Integrate[(-256 + 16*x^4 + 15*E^((5*x^3)/2)*x^5 + E^((5*x^3)/4)*(32*x + 8*x^3 - 120*x^4 + 30*x^6))/(2*x^3),x]","4 e^{\frac{5 x^3}{4}} x+e^{\frac{5 x^3}{2}}-\frac{16 e^{\frac{5 x^3}{4}}}{x}+4 x^2+\frac{64}{x^2}","\left(e^{\frac{5 x^3}{4}}+2 x-\frac{8}{x}\right)^2",1,"E^((5*x^3)/2) + 64/x^2 - (16*E^((5*x^3)/4))/x + 4*E^((5*x^3)/4)*x + 4*x^2","B",1
9496,1,27,30,0.120199,"\int \frac{e^{\frac{35+18 x-12 x^2-5 x^3}{\log (\log (5))}} \left(18-24 x-15 x^2\right)-\log (\log (5))}{\log (\log (5))} \, dx","Integrate[(E^((35 + 18*x - 12*x^2 - 5*x^3)/Log[Log[5]])*(18 - 24*x - 15*x^2) - Log[Log[5]])/Log[Log[5]],x]","e^{\frac{-5 x^3-12 x^2+18 x+35}{\log (\log (5))}}-x","\exp \left(\frac{\left(-x^2-x+5\right) (x+4 (x+3)-5)}{\log (\log (5))}\right)-x",1,"E^((35 + 18*x - 12*x^2 - 5*x^3)/Log[Log[5]]) - x","A",1
9497,1,31,18,0.0062972,"\int \frac{144 e^{34}}{16 x^2+e^{16} \left(-24 e^2 x-24 x^2\right)+e^{32} \left(9 e^4+18 e^2 x+9 x^2\right)} \, dx","Integrate[(144*E^34)/(16*x^2 + E^16*(-24*E^2*x - 24*x^2) + E^32*(9*E^4 + 18*E^2*x + 9*x^2)),x]","-\frac{144 e^{34}}{\left(3 e^{16}-4\right) \left(3 e^{16} x-4 x+3 e^{18}\right)}","\frac{16 x}{-\frac{4 x}{3 e^{16}}+x+e^2}",1,"(-144*E^34)/((-4 + 3*E^16)*(3*E^18 - 4*x + 3*E^16*x))","A",1
9498,1,53,28,0.2380986,"\int \frac{\left(16 x+16 x^2+e^{2 x} \left(-x-x^2\right)\right) \log \left(-\frac{1}{x+x^2}\right)+(9+18 x) \log ^{18}\left(-\frac{1}{x+x^2}\right)+\log ^9\left(-\frac{1}{x+x^2}\right) \left(e^x (-9-18 x)+e^x \left(x+x^2\right) \log \left(-\frac{1}{x+x^2}\right)\right)}{\left(8 x+8 x^2\right) \log \left(-\frac{1}{x+x^2}\right)} \, dx","Integrate[((16*x + 16*x^2 + E^(2*x)*(-x - x^2))*Log[-(x + x^2)^(-1)] + (9 + 18*x)*Log[-(x + x^2)^(-1)]^18 + Log[-(x + x^2)^(-1)]^9*(E^x*(-9 - 18*x) + E^x*(x + x^2)*Log[-(x + x^2)^(-1)]))/((8*x + 8*x^2)*Log[-(x + x^2)^(-1)]),x]","\frac{1}{8} \left(-\frac{1}{2} \log ^{18}\left(-\frac{1}{x^2+x}\right)-\frac{e^{2 x}}{2}+16 x\right)+\frac{1}{8} e^x \log ^9\left(-\frac{1}{x^2+x}\right)","2 x-\frac{1}{16} \left(\log ^9\left(-\frac{1}{x^2+x}\right)-e^x\right)^2",1,"(E^x*Log[-(x + x^2)^(-1)]^9)/8 + (-1/2*E^(2*x) + 16*x - Log[-(x + x^2)^(-1)]^18/2)/8","A",1
9499,1,27,26,0.8007069,"\int \frac{45-24 x-84 x^2-24 x^3+(36+36 x) \log \left(-\frac{1}{1+x}\right)}{16 x^4+16 x^5+\left(48 x^2+48 x^3\right) \log \left(-\frac{1}{1+x}\right)+(36+36 x) \log ^2\left(-\frac{1}{1+x}\right)} \, dx","Integrate[(45 - 24*x - 84*x^2 - 24*x^3 + (36 + 36*x)*Log[-(1 + x)^(-1)])/(16*x^4 + 16*x^5 + (48*x^2 + 48*x^3)*Log[-(1 + x)^(-1)] + (36 + 36*x)*Log[-(1 + x)^(-1)]^2),x]","\frac{3 (4 x+5)}{4 \left(2 x^2+3 \log \left(-\frac{1}{x+1}\right)\right)}","\frac{x+\frac{5}{4}}{\frac{2 x^2}{3}+\log \left(\frac{x}{x+1}-1\right)}",1,"(3*(5 + 4*x))/(4*(2*x^2 + 3*Log[-(1 + x)^(-1)]))","A",1
9500,1,23,30,0.0974863,"\int \left(4+e^{-16-4 e^{3 x}+4 x} \left(4-12 e^{3 x}\right)+6 x\right) \, dx","Integrate[4 + E^(-16 - 4*E^(3*x) + 4*x)*(4 - 12*E^(3*x)) + 6*x,x]","3 x^2+4 x+e^{4 x-4 e^{3 x}-16}","\frac{3 \left(x^2+x\right) x+x}{x}+x+e^{4 \left(x-e^{3 x}-4\right)}",1,"E^(-16 - 4*E^(3*x) + 4*x) + 4*x + 3*x^2","A",1
9501,1,26,27,0.0157107,"\int \frac{2-2 x^4-4 \log (4)+\left(2+50 x^4\right) \log ^2(4)}{x^3} \, dx","Integrate[(2 - 2*x^4 - 4*Log[4] + (2 + 50*x^4)*Log[4]^2)/x^3,x]","-x^2+25 x^2 \log ^2(4)-\frac{(\log (4)-1)^2}{x^2}","25 x^2 \log ^2(4)-\frac{\left(-x^2-1+\log (4)\right)^2}{x^2}+4",1,"-x^2 - (-1 + Log[4])^2/x^2 + 25*x^2*Log[4]^2","A",1
9502,1,32,26,0.0234322,"\int \frac{5832-3420 x+668 x^2-58 x^3+2 x^4+\left(-738 x+206 x^2-27 x^3+x^4\right) \log \left(\frac{1}{x^2}\right)}{\left(2916 x-1710 x^2+334 x^3-29 x^4+x^5\right) \log \left(\frac{1}{x^2}\right)} \, dx","Integrate[(5832 - 3420*x + 668*x^2 - 58*x^3 + 2*x^4 + (-738*x + 206*x^2 - 27*x^3 + x^4)*Log[x^(-2)])/((2916*x - 1710*x^2 + 334*x^3 - 29*x^4 + x^5)*Log[x^(-2)]),x]","-\log \left(\log \left(\frac{1}{x^2}\right)\right)+\log \left(-x^3+20 x^2-154 x+324\right)-2 \log (9-x)","\log \left(\frac{\frac{(2 x+1) x}{(x-9)^2}+x-4}{4 \log \left(\frac{1}{x^2}\right)}\right)",1,"-2*Log[9 - x] + Log[324 - 154*x + 20*x^2 - x^3] - Log[Log[x^(-2)]]","A",1
9503,1,28,32,1.0673992,"\int \frac{32-16 x+e^5 \left(12 x^2-8 x^3\right)}{-32+16 x+e^5 \left(32 x^2-16 x^3\right)+e^{10} \left(-8 x^4+4 x^5\right)+\left(e^5 \left(16 x-8 x^2\right)+e^{10} \left(-8 x^3+4 x^4\right)\right) \log \left(\frac{2-x}{2}\right)+e^{10} \left(-2 x^2+x^3\right) \log ^2\left(\frac{2-x}{2}\right)} \, dx","Integrate[(32 - 16*x + E^5*(12*x^2 - 8*x^3))/(-32 + 16*x + E^5*(32*x^2 - 16*x^3) + E^10*(-8*x^4 + 4*x^5) + (E^5*(16*x - 8*x^2) + E^10*(-8*x^3 + 4*x^4))*Log[(2 - x)/2] + E^10*(-2*x^2 + x^3)*Log[(2 - x)/2]^2),x]","\frac{4 x}{2 e^5 x^2+e^5 x \log \left(1-\frac{x}{2}\right)-4}","\frac{x^2}{\frac{1}{4} e^5 x^2 \left(2 x+\log \left(1-\frac{x}{2}\right)\right)-x}",1,"(4*x)/(-4 + 2*E^5*x^2 + E^5*x*Log[1 - x/2])","A",1
9504,1,18,24,0.0328728,"\int \frac{96 x^3-192 x^3 \log \left(x^2\right)+\left(8+e^x\right) \log ^2\left(x^2\right)}{\log ^2\left(x^2\right)} \, dx","Integrate[(96*x^3 - 192*x^3*Log[x^2] + (8 + E^x)*Log[x^2]^2)/Log[x^2]^2,x]","-\frac{48 x^4}{\log \left(x^2\right)}+8 x+e^x","3 x \left(3-\frac{16 x^3}{\log \left(x^2\right)}\right)-x+e^x+4",1,"E^x + 8*x - (48*x^4)/Log[x^2]","A",1
9505,1,32,33,0.3168102,"\int \frac{-e^x x+e^x x \log (x)-e^x x \log ^2(x)+e^{e^{-x} x^2} \left(e^x+\left(-2 x^2+x^3\right) \log (x)\right)+\left(-e^{x+e^{-x} x^2} \log (x)+e^x x \log (x)-e^x x \log ^2(x)\right) \log \left(\frac{e^{e^{-x} x^2}-x+x \log (x)}{5 \log (x)}\right) \log \left(\log \left(\frac{e^{e^{-x} x^2}-x+x \log (x)}{5 \log (x)}\right)\right)}{\left(e^{x+e^{-x} x^2} \log (x)-e^x x \log (x)+e^x x \log ^2(x)\right) \log \left(\frac{e^{e^{-x} x^2}-x+x \log (x)}{5 \log (x)}\right)} \, dx","Integrate[(-(E^x*x) + E^x*x*Log[x] - E^x*x*Log[x]^2 + E^(x^2/E^x)*(E^x + (-2*x^2 + x^3)*Log[x]) + (-(E^(x + x^2/E^x)*Log[x]) + E^x*x*Log[x] - E^x*x*Log[x]^2)*Log[(E^(x^2/E^x) - x + x*Log[x])/(5*Log[x])]*Log[Log[(E^(x^2/E^x) - x + x*Log[x])/(5*Log[x])]])/((E^(x + x^2/E^x)*Log[x] - E^x*x*Log[x] + E^x*x*Log[x]^2)*Log[(E^(x^2/E^x) - x + x*Log[x])/(5*Log[x])]),x]","-x \log \left(\log \left(\frac{e^{e^{-x} x^2}-x+x \log (x)}{5 \log (x)}\right)\right)","-x \log \left(\log \left(\frac{1}{5} \left(\frac{e^{e^{-x} x^2}-x}{\log (x)}+x\right)\right)\right)-2",1,"-(x*Log[Log[(E^(x^2/E^x) - x + x*Log[x])/(5*Log[x])]])","A",1
9506,1,22,30,0.4955788,"\int \frac{\left(1+x+e^{4-x} \left(-x-x^2\right)\right) \log \left(\frac{e^{-4+x} \left(-1+e^{4-x} x\right)}{x}\right)+\log \left(e^x x\right) \left(-1+x+\left(1-e^{4-x} x\right) \log \left(\frac{e^{-4+x} \left(-1+e^{4-x} x\right)}{x}\right)\right)}{-1+e^{4-x} x} \, dx","Integrate[((1 + x + E^(4 - x)*(-x - x^2))*Log[(E^(-4 + x)*(-1 + E^(4 - x)*x))/x] + Log[E^x*x]*(-1 + x + (1 - E^(4 - x)*x)*Log[(E^(-4 + x)*(-1 + E^(4 - x)*x))/x]))/(-1 + E^(4 - x)*x),x]","-x \log \left(1-\frac{e^{x-4}}{x}\right) \log \left(e^x x\right)","\frac{x-x^2 \log \left(1-\frac{e^{x-4}}{x}\right) \log \left(e^x x\right)}{x}",1,"-(x*Log[1 - E^(-4 + x)/x]*Log[E^x*x])","A",1
9507,1,14,16,0.0115359,"\int \frac{-8-32 e^{x^2} x}{256+4 e^{2 x^2}-32 x+x^2+e^{x^2} (-64+4 x)} \, dx","Integrate[(-8 - 32*E^x^2*x)/(256 + 4*E^(2*x^2) - 32*x + x^2 + E^x^2*(-64 + 4*x)),x]","\frac{8}{2 e^{x^2}+x-16}","\frac{4}{e^{x^2}+\frac{x}{2}-8}",1,"8/(-16 + 2*E^x^2 + x)","A",1
9508,0,0,24,6.9258561,"\int \frac{\left(4 x+25\ 2^{5+8 x} e^{2^{1+8 x}} \log (2)+e^{2^{8 x}} \left(-20-5\ 2^{5+8 x} x \log (2)\right)\right) \log \left(\frac{1}{25} \left(100+25 e^{2^{1+8 x}}-10 e^{2^{8 x}} x+x^2+25 \log (2)\right)\right)}{100+25 e^{2^{1+8 x}}-10 e^{2^{8 x}} x+x^2+25 \log (2)} \, dx","Integrate[((4*x + 25*2^(5 + 8*x)*E^2^(1 + 8*x)*Log[2] + E^2^(8*x)*(-20 - 5*2^(5 + 8*x)*x*Log[2]))*Log[(100 + 25*E^2^(1 + 8*x) - 10*E^2^(8*x)*x + x^2 + 25*Log[2])/25])/(100 + 25*E^2^(1 + 8*x) - 10*E^2^(8*x)*x + x^2 + 25*Log[2]),x]","\int \frac{\left(4 x+25\ 2^{5+8 x} e^{2^{1+8 x}} \log (2)+e^{2^{8 x}} \left(-20-5\ 2^{5+8 x} x \log (2)\right)\right) \log \left(\frac{1}{25} \left(100+25 e^{2^{1+8 x}}-10 e^{2^{8 x}} x+x^2+25 \log (2)\right)\right)}{100+25 e^{2^{1+8 x}}-10 e^{2^{8 x}} x+x^2+25 \log (2)} \, dx","\log ^2\left(\left(\frac{x}{5}-e^{2^{8 x}}\right)^2+4+\log (2)\right)",1,"Integrate[((4*x + 25*2^(5 + 8*x)*E^2^(1 + 8*x)*Log[2] + E^2^(8*x)*(-20 - 5*2^(5 + 8*x)*x*Log[2]))*Log[(100 + 25*E^2^(1 + 8*x) - 10*E^2^(8*x)*x + x^2 + 25*Log[2])/25])/(100 + 25*E^2^(1 + 8*x) - 10*E^2^(8*x)*x + x^2 + 25*Log[2]), x]","F",-1
9509,1,37,28,0.0672379,"\int \frac{-5775+1520 x-28975 x^2+7700 x^3-500 x^4+\left(5775-1500 x+100 x^2\right) \log (x)}{5929 x^2-1540 x^3+100 x^4} \, dx","Integrate[(-5775 + 1520*x - 28975*x^2 + 7700*x^3 - 500*x^4 + (5775 - 1500*x + 100*x^2)*Log[x])/(5929*x^2 - 1540*x^3 + 100*x^4),x]","-5 \left(x-\frac{77}{5 (77-10 x)}-\frac{4 \log (x)}{77 (77-10 x)}+\frac{15 \log (x)}{77 x}\right)","\frac{5 x^2+\log (x)}{\frac{2}{5 \left(2-\frac{15}{x}\right)}-x}",1,"-5*(-77/(5*(77 - 10*x)) + x - (4*Log[x])/(77*(77 - 10*x)) + (15*Log[x])/(77*x))","A",1
9510,1,28,28,0.0068423,"\int \frac{1}{2} \left(-36+45 x-18 \log (4)-18 \log \left(x^2-e^4 x^2\right)\right) \, dx","Integrate[(-36 + 45*x - 18*Log[4] - 18*Log[x^2 - E^4*x^2])/2,x]","\frac{45 x^2}{4}-9 x \log \left(\left(1-e^4\right) x^2\right)-9 x \log (4)","9 x^2 \left(\frac{5}{4}-\frac{\log \left(x \left(x-e^4 x\right)\right)+\log (4)}{x}\right)",1,"(45*x^2)/4 - 9*x*Log[4] - 9*x*Log[(1 - E^4)*x^2]","A",1
9511,1,71,30,0.1415048,"\int \exp \left(-3+25 e^{5 x} x^2-100 e^{4 x} x^3+e^{3 x} \left(200 x^2+150 x^4\right)+e^{2 x} \left(-400 x^3-100 x^5\right)+e^x \left(400 x^2+200 x^4+25 x^6\right)\right) \left(e^{5 x} \left(50 x+125 x^2\right)+e^{4 x} \left(-300 x^2-400 x^3\right)+e^{3 x} \left(400 x+600 x^2+600 x^3+450 x^4\right)+e^{2 x} \left(-1200 x^2-800 x^3-500 x^4-200 x^5\right)+e^x \left(800 x+400 x^2+800 x^3+200 x^4+150 x^5+25 x^6\right)\right) \, dx","Integrate[E^(-3 + 25*E^(5*x)*x^2 - 100*E^(4*x)*x^3 + E^(3*x)*(200*x^2 + 150*x^4) + E^(2*x)*(-400*x^3 - 100*x^5) + E^x*(400*x^2 + 200*x^4 + 25*x^6))*(E^(5*x)*(50*x + 125*x^2) + E^(4*x)*(-300*x^2 - 400*x^3) + E^(3*x)*(400*x + 600*x^2 + 600*x^3 + 450*x^4) + E^(2*x)*(-1200*x^2 - 800*x^3 - 500*x^4 - 200*x^5) + E^x*(800*x + 400*x^2 + 800*x^3 + 200*x^4 + 150*x^5 + 25*x^6)),x]","\exp \left(-100 e^{4 x} x^3+25 e^{5 x} x^2+25 e^x \left(x^2+4\right)^2 x^2+50 e^{3 x} \left(3 x^2+4\right) x^2-100 e^{2 x} \left(x^2+4\right) x^3-3\right)","\exp \left(\left(25 e^x x \left(\left(x-e^x\right)^2+4\right)^2+1\right) x-x-3\right)",1,"E^(-3 + 25*E^(5*x)*x^2 - 100*E^(4*x)*x^3 - 100*E^(2*x)*x^3*(4 + x^2) + 25*E^x*x^2*(4 + x^2)^2 + 50*E^(3*x)*x^2*(4 + 3*x^2))","B",1
9512,1,17,28,0.2911087,"\int \frac{-5 \log (x)+(1+x) \log ^2(x)+\left(-20-4 x \log ^2(x)\right) \log ^3\left(\frac{-5+(1+x) \log (x)}{\log (x)}\right)}{-5 x \log (x)+\left(x+x^2\right) \log ^2(x)} \, dx","Integrate[(-5*Log[x] + (1 + x)*Log[x]^2 + (-20 - 4*x*Log[x]^2)*Log[(-5 + (1 + x)*Log[x])/Log[x]]^3)/(-5*x*Log[x] + (x + x^2)*Log[x]^2),x]","\log (x)-\log ^4\left(x-\frac{5}{\log (x)}+1\right)","-\log ^4\left(x-\frac{5}{\log (x)}+1\right)+\log (x)+2 \left(\frac{1}{2 e}-3\right)",1,"Log[x] - Log[1 + x - 5/Log[x]]^4","A",1
9513,1,41,33,0.0616221,"\int \frac{x-x^2 \log ^2(2)+2 x \log ^3(2)-\log ^4(2)+\left(\left(-x^2-x^3\right) \log ^2(2)+(1+x) \log ^4(2)\right) \log \left(\frac{x}{1+x}\right) \log \left(\log \left(\frac{x}{1+x}\right)\right) \log \left(\log \left(\log \left(\frac{x}{1+x}\right)\right)\right)}{\left(10 x^2+10 x^3\right) \log \left(\frac{x}{1+x}\right) \log \left(\log \left(\frac{x}{1+x}\right)\right)} \, dx","Integrate[(x - x^2*Log[2]^2 + 2*x*Log[2]^3 - Log[2]^4 + ((-x^2 - x^3)*Log[2]^2 + (1 + x)*Log[2]^4)*Log[x/(1 + x)]*Log[Log[x/(1 + x)]]*Log[Log[Log[x/(1 + x)]]])/((10*x^2 + 10*x^3)*Log[x/(1 + x)]*Log[Log[x/(1 + x)]]),x]","-\frac{\left(x^2 \log ^2(2)-x \left(1+2 \log ^3(2)\right)+\log ^4(2)\right) \log \left(\log \left(\log \left(\frac{x}{x+1}\right)\right)\right)}{10 x}","\frac{\left(x-\log ^2(2) (x-\log (2))^2\right) \log \left(\log \left(\log \left(\frac{x}{x+1}\right)\right)\right)}{10 x}",1,"-1/10*((x^2*Log[2]^2 + Log[2]^4 - x*(1 + 2*Log[2]^3))*Log[Log[Log[x/(1 + x)]]])/x","A",1
9514,1,34,34,0.3103116,"\int \frac{x^2+e^{2-x} \left(x^2+x^3\right)-x^2 \log (x)+e^{e^{5-x}} \left(1+e^{7-2 x} x+e^{2-x} (3+x)+\left(-3-e^{5-x} x\right) \log (x)\right)}{-e^{2-x} x^3+x^3 \log (x)+e^{e^{5-x}} \left(-e^{2-x} x+x \log (x)\right)} \, dx","Integrate[(x^2 + E^(2 - x)*(x^2 + x^3) - x^2*Log[x] + E^E^(5 - x)*(1 + E^(7 - 2*x)*x + E^(2 - x)*(3 + x) + (-3 - E^(5 - x)*x)*Log[x]))/(-(E^(2 - x)*x^3) + x^3*Log[x] + E^E^(5 - x)*(-(E^(2 - x)*x) + x*Log[x])),x]","\log \left(x^2+e^{e^{5-x}}\right)-x-3 \log (x)+\log \left(e^2-e^x \log (x)\right)","\log \left(\frac{\left(x+\frac{e^{e^{5-x}}}{x}\right) \left(e^{2-x}-\log (x)\right)}{x^2}\right)+1",1,"-x - 3*Log[x] + Log[E^E^(5 - x) + x^2] + Log[E^2 - E^x*Log[x]]","A",1
9515,1,70,32,0.0983245,"\int \frac{3 x^2+3 x^3-x^4+e^{e^5} \left(-3-3 x-6 x^3-6 x^4+2 x^5\right)+e^{2 e^5} \left(6 x+3 x^2+3 x^4+3 x^5-x^6\right)}{-4 x^2-x^3+x^4+e^{e^5} \left(3 x+8 x^3+2 x^4-2 x^5\right)+e^{2 e^5} \left(-3 x^2-4 x^4-x^5+x^6\right)} \, dx","Integrate[(3*x^2 + 3*x^3 - x^4 + E^E^5*(-3 - 3*x - 6*x^3 - 6*x^4 + 2*x^5) + E^(2*E^5)*(6*x + 3*x^2 + 3*x^4 + 3*x^5 - x^6))/(-4*x^2 - x^3 + x^4 + E^E^5*(3*x + 8*x^3 + 2*x^4 - 2*x^5) + E^(2*E^5)*(-3*x^2 - 4*x^4 - x^5 + x^6)),x]","\log \left(e^{e^5} x^4-e^{e^5} x^3-x^3-4 e^{e^5} x^2+x^2+4 x-3 e^{e^5}\right)-x-\log (x)-\log \left(1-e^{e^5} x\right)","\log \left(-x^2-\frac{3}{e^{-e^5} x-x^2}+x+4\right)-x",1,"-x - Log[x] - Log[1 - E^E^5*x] + Log[-3*E^E^5 + 4*x + x^2 - 4*E^E^5*x^2 - x^3 - E^E^5*x^3 + E^E^5*x^4]","B",1
9516,1,21,23,0.0185296,"\int \frac{1}{4} e^{-13-6 e^{\frac{3 x}{e^3}}} \left(-e^3+e^{\frac{3 x}{e^3}} (-18+18 x)\right) \, dx","Integrate[(E^(-13 - 6*E^((3*x)/E^3))*(-E^3 + E^((3*x)/E^3)*(-18 + 18*x)))/4,x]","-\frac{1}{4} e^{-6 e^{\frac{3 x}{e^3}}-10} (x-1)","\frac{1}{4} e^{-6 e^{\frac{3 x}{e^3}}-10} (1-x)",1,"-1/4*(E^(-10 - 6*E^((3*x)/E^3))*(-1 + x))","A",1
9517,1,23,26,0.1212501,"\int \frac{e^{-e^{14}+e^x} \left(-1+e^x x\right)}{3 e^{-e^{14}+e^x} x+3 x^2} \, dx","Integrate[(E^(-E^14 + E^x)*(-1 + E^x*x))/(3*E^(-E^14 + E^x)*x + 3*x^2),x]","\frac{1}{3} \left(\log \left(e^{e^{14}} x+e^{e^x}\right)-\log (x)\right)","\frac{1}{3} \log \left(\frac{-x-e^{e^x-e^{14}}}{x}\right)",1,"(-Log[x] + Log[E^E^x + E^E^14*x])/3","A",1
9518,1,62,30,0.1273557,"\int \frac{-144+420 x^2-1260 x^3+68600 x^4+102900 x^5+34300 x^6+\left(18-60 x^2+390 x^3-29400 x^4-44100 x^5-14700 x^6\right) \log ^2(5)+\left(-30 x^3+4200 x^4+6300 x^5+2100 x^6\right) \log ^4(5)+\left(-200 x^4-300 x^5-100 x^6\right) \log ^6(5)+\left(-18+60 x^2-390 x^3+29400 x^4+44100 x^5+14700 x^6+\left(60 x^3-8400 x^4-12600 x^5-4200 x^6\right) \log ^2(5)+\left(600 x^4+900 x^5+300 x^6\right) \log ^4(5)\right) \log (4 x)+\left(-30 x^3+4200 x^4+6300 x^5+2100 x^6+\left(-600 x^4-900 x^5-300 x^6\right) \log ^2(5)\right) \log ^2(4 x)+\left(200 x^4+300 x^5+100 x^6\right) \log ^3(4 x)}{8575 x^3-3675 x^3 \log ^2(5)+525 x^3 \log ^4(5)-25 x^3 \log ^6(5)+\left(3675 x^3-1050 x^3 \log ^2(5)+75 x^3 \log ^4(5)\right) \log (4 x)+\left(525 x^3-75 x^3 \log ^2(5)\right) \log ^2(4 x)+25 x^3 \log ^3(4 x)} \, dx","Integrate[(-144 + 420*x^2 - 1260*x^3 + 68600*x^4 + 102900*x^5 + 34300*x^6 + (18 - 60*x^2 + 390*x^3 - 29400*x^4 - 44100*x^5 - 14700*x^6)*Log[5]^2 + (-30*x^3 + 4200*x^4 + 6300*x^5 + 2100*x^6)*Log[5]^4 + (-200*x^4 - 300*x^5 - 100*x^6)*Log[5]^6 + (-18 + 60*x^2 - 390*x^3 + 29400*x^4 + 44100*x^5 + 14700*x^6 + (60*x^3 - 8400*x^4 - 12600*x^5 - 4200*x^6)*Log[5]^2 + (600*x^4 + 900*x^5 + 300*x^6)*Log[5]^4)*Log[4*x] + (-30*x^3 + 4200*x^4 + 6300*x^5 + 2100*x^6 + (-600*x^4 - 900*x^5 - 300*x^6)*Log[5]^2)*Log[4*x]^2 + (200*x^4 + 300*x^5 + 100*x^6)*Log[4*x]^3)/(8575*x^3 - 3675*x^3*Log[5]^2 + 525*x^3*Log[5]^4 - 25*x^3*Log[5]^6 + (3675*x^3 - 1050*x^3*Log[5]^2 + 75*x^3*Log[5]^4)*Log[4*x] + (525*x^3 - 75*x^3*Log[5]^2)*Log[4*x]^2 + 25*x^3*Log[4*x]^3),x]","\frac{2}{25} \left(\frac{25 x^4}{2}+50 x^3+50 x^2+\frac{9}{2 x^2 \left(\log (4 x)+7-\log ^2(5)\right)^2}-\frac{15 (x+2)}{\log (4 x)+7-\log ^2(5)}\right)","\left(x^2+2 x+\frac{3}{5 x \left(-\log (4 x)-7+\log ^2(5)\right)}\right)^2",1,"(2*(50*x^2 + 50*x^3 + (25*x^4)/2 + 9/(2*x^2*(7 - Log[5]^2 + Log[4*x])^2) - (15*(2 + x))/(7 - Log[5]^2 + Log[4*x])))/25","B",1
9519,1,16,15,0.0013931,"\int \left(1-4 e^3-e^3 \log (x)\right) \, dx","Integrate[1 - 4*E^3 - E^3*Log[x],x]","-3 e^3 x+x-e^3 x \log (x)","x \left(1-e^3 (\log (x)+3)\right)-9",1,"x - 3*E^3*x - E^3*x*Log[x]","A",1
9520,1,5,5,0.0011673,"\int e^{-5+x} \, dx","Integrate[E^(-5 + x),x]","e^{x-5}","e^{x-5}",1,"E^(-5 + x)","A",1
9521,1,21,23,0.0118605,"\int \frac{-640 e^5 x-80 x^3}{9+30 x^4+6400 e^{10} x^4+25 x^8+e^5 \left(480 x^2+800 x^6\right)+\left(6+160 e^5 x^2+10 x^4\right) \log (2)+\log ^2(2)} \, dx","Integrate[(-640*E^5*x - 80*x^3)/(9 + 30*x^4 + 6400*E^10*x^4 + 25*x^8 + E^5*(480*x^2 + 800*x^6) + (6 + 160*E^5*x^2 + 10*x^4)*Log[2] + Log[2]^2),x]","\frac{4}{5 x^4+80 e^5 x^2+3+\log (2)}","\frac{4}{5 \left(x+\frac{16 e^5}{x}\right) x^3+3+\log (2)}",1,"4/(3 + 80*E^5*x^2 + 5*x^4 + Log[2])","A",1
9522,1,18,18,0.0619569,"\int \frac{x^2+e^{\frac{-2+2 x+x^2}{x}} \left(-2-x^2\right)}{10 x^2} \, dx","Integrate[(x^2 + E^((-2 + 2*x + x^2)/x)*(-2 - x^2))/(10*x^2),x]","\frac{1}{10} \left(x-e^{x-\frac{2}{x}+2}\right)","\frac{1}{10} \left(x-e^{x-\frac{2}{x}+2}\right)",1,"(-E^(2 - 2/x + x) + x)/10","A",1
9523,1,33,27,0.4896865,"\int \frac{\exp \left(-2+2 x+\frac{-10+2 e^{-2+2 x} x^3-2 \log (3)-5 \log (5)}{-25+5 e^{-2+2 x} x^3-5 \log (3)}\right) \left(3 x^2+2 x^3\right) \log (5)}{25+e^{-4+4 x} x^6+10 \log (3)+\log ^2(3)+e^{-2+2 x} \left(-10 x^3-2 x^3 \log (3)\right)} \, dx","Integrate[(E^(-2 + 2*x + (-10 + 2*E^(-2 + 2*x)*x^3 - 2*Log[3] - 5*Log[5])/(-25 + 5*E^(-2 + 2*x)*x^3 - 5*Log[3]))*(3*x^2 + 2*x^3)*Log[5])/(25 + E^(-4 + 4*x)*x^6 + 10*Log[3] + Log[3]^2 + E^(-2 + 2*x)*(-10*x^3 - 2*x^3*Log[3])),x]","e^{2/5} 5^{\frac{e^2}{e^2 (5+\log (3))-e^{2 x} x^3}}","e^{\frac{\log (5)}{-e^{2 x-2} x^3+5+\log (3)}+\frac{2}{5}}",1,"5^(E^2/(-(E^(2*x)*x^3) + E^2*(5 + Log[3])))*E^(2/5)","A",1
9524,1,16,20,0.0764187,"\int \frac{-2 x^3+\left(-2500 x+2 x^3\right) \log \left(\frac{1}{125} \left(-1250+x^2\right)\right)}{\left(-1250+x^2\right) \log ^2\left(\frac{1}{125} \left(-1250+x^2\right)\right)} \, dx","Integrate[(-2*x^3 + (-2500*x + 2*x^3)*Log[(-1250 + x^2)/125])/((-1250 + x^2)*Log[(-1250 + x^2)/125]^2),x]","\frac{x^2}{\log \left(\frac{x^2}{125}-10\right)}","\frac{x^2}{\log \left(5 \left(\frac{x^2}{625}+1\right)-15\right)}",1,"x^2/Log[-10 + x^2/125]","A",1
9525,1,20,13,0.0823218,"\int \frac{e^{\frac{1-10 x+5 x^2}{-2 x+x^2}} (2-2 x)}{4 x^2-4 x^3+x^4} \, dx","Integrate[(E^((1 - 10*x + 5*x^2)/(-2*x + x^2))*(2 - 2*x))/(4*x^2 - 4*x^3 + x^4),x]","e^{-\frac{1}{2 x}+\frac{1}{2 (x-2)}+5}","e^{\frac{1}{x^2-2 x}+5}",1,"E^(5 + 1/(2*(-2 + x)) - 1/(2*x))","A",1
9526,1,8,13,0.0003667,"\int -\frac{4 e^3}{x^2} \, dx","Integrate[(-4*E^3)/x^2,x]","\frac{4 e^3}{x}","e^3 \left(\frac{4}{x}+\log (\log (2))\right)",1,"(4*E^3)/x","A",1
9527,1,26,26,0.3325838,"\int \frac{25+14 x^2+\left(-75-14 x^2\right) \log (x)}{-9 e^e x^4+\left(25 x+14 x^3\right) \log (x)} \, dx","Integrate[(25 + 14*x^2 + (-75 - 14*x^2)*Log[x])/(-9*E^E*x^4 + (25*x + 14*x^3)*Log[x]),x]","\log \left(9 e^e x^3-\left(14 x^2+25\right) \log (x)\right)-3 \log (x)","\log \left(\frac{\left(\frac{1}{3} \left(1-\frac{25}{x^2}\right)-5\right) \log (x)}{x}+3 e^e\right)",1,"-3*Log[x] + Log[9*E^E*x^3 - (25 + 14*x^2)*Log[x]]","A",1
9528,1,21,25,0.2102781,"\int \frac{e^{\frac{225+9 x+45 e^{5+x} x-5 x^2}{5 x}} \left(-45-x^2+9 e^{5+x} x^2\right)}{x^2} \, dx","Integrate[(E^((225 + 9*x + 45*E^(5 + x)*x - 5*x^2)/(5*x))*(-45 - x^2 + 9*E^(5 + x)*x^2))/x^2,x]","e^{-x+9 e^{x+5}+\frac{45}{x}+\frac{9}{5}}","e^{\frac{9 \left(e^{x+5} x+\frac{x}{5}+5\right)}{x}-x}",1,"E^(9/5 + 9*E^(5 + x) + 45/x - x)","A",1
9529,1,30,29,0.1763942,"\int \frac{\exp \left(\frac{15+3 x-3 \log \left(\frac{-1+x+\log (x)}{4 x+\log (x)}\right)}{x}\right) \left(-3+39 x-60 x^2+(15-66 x) \log (x)-15 \log ^2(x)+\left(-12 x+12 x^2+(-3+15 x) \log (x)+3 \log ^2(x)\right) \log \left(\frac{-1+x+\log (x)}{4 x+\log (x)}\right)\right)}{-4 x^3+4 x^4+\left(-x^2+5 x^3\right) \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(E^((15 + 3*x - 3*Log[(-1 + x + Log[x])/(4*x + Log[x])])/x)*(-3 + 39*x - 60*x^2 + (15 - 66*x)*Log[x] - 15*Log[x]^2 + (-12*x + 12*x^2 + (-3 + 15*x)*Log[x] + 3*Log[x]^2)*Log[(-1 + x + Log[x])/(4*x + Log[x])]))/(-4*x^3 + 4*x^4 + (-x^2 + 5*x^3)*Log[x] + x^2*Log[x]^2),x]","e^{\frac{15}{x}+3} \left(\frac{x+\log (x)-1}{4 x+\log (x)}\right)^{-3/x}","e^{\frac{3 \left(x-\log \left(\frac{x+\log (x)-1}{4 x+\log (x)}\right)+5\right)}{x}}-3",1,"E^(3 + 15/x)/((-1 + x + Log[x])/(4*x + Log[x]))^(3/x)","A",1
9530,1,25,19,0.0019334,"\int \frac{-1+44 x-40 x^2-6 x^3+2 x^4}{x} \, dx","Integrate[(-1 + 44*x - 40*x^2 - 6*x^3 + 2*x^4)/x,x]","\frac{x^4}{2}-2 x^3-20 x^2+44 x-\log (x)","\frac{1}{2} \left(x^2-2 x-22\right)^2-\log (x)",1,"44*x - 20*x^2 - 2*x^3 + x^4/2 - Log[x]","A",1
9531,1,22,20,0.296341,"\int \frac{-6-6 \log (x)+\left(2+3 x^2\right) \log ^2(x)+\left(-6 \log (x)+\left(2-3 x^2\right) \log ^2(x)\right) \log \left(\frac{6+\left(-2+3 x^2\right) \log (x)}{3 \log (x)}\right)}{6 x^2 \log (x)+\left(-2 x^2+3 x^4\right) \log ^2(x)} \, dx","Integrate[(-6 - 6*Log[x] + (2 + 3*x^2)*Log[x]^2 + (-6*Log[x] + (2 - 3*x^2)*Log[x]^2)*Log[(6 + (-2 + 3*x^2)*Log[x])/(3*Log[x])])/(6*x^2*Log[x] + (-2*x^2 + 3*x^4)*Log[x]^2),x]","\frac{\log \left(x^2+\frac{2}{\log (x)}-\frac{2}{3}\right)}{x}+\frac{1}{x}","\frac{\log \left(x^2+\frac{2}{\log (x)}-\frac{2}{3}\right)+1}{x}",1,"x^(-1) + Log[-2/3 + x^2 + 2/Log[x]]/x","A",1
9532,1,48,27,0.1470993,"\int \frac{-2 x^6+e^x \left(-216 x^3+54 x^5\right)+\left(e^{3 x} \left(-46656+11664 x^2\right)+e^{2 x} \left(-216 x^3-216 x^4-54 x^5+54 x^6\right)+e^x \left(2 x^6-2 x^7\right)\right) \log (x)+\left(-216 x^3+54 x^5+\left(2 x^6+e^{2 x} \left(-139968+34992 x^2\right)+e^x \left(-432 x^3-216 x^4-108 x^5+54 x^6\right)\right) \log (x)\right) \log (\log (x))+\left(-216 x^3-54 x^5+e^x \left(-139968+34992 x^2\right)\right) \log (x) \log ^2(\log (x))+\left(-46656+11664 x^2\right) \log (x) \log ^3(\log (x))}{e^{3 x} x^5 \log (x)+3 e^{2 x} x^5 \log (x) \log (\log (x))+3 e^x x^5 \log (x) \log ^2(\log (x))+x^5 \log (x) \log ^3(\log (x))} \, dx","Integrate[(-2*x^6 + E^x*(-216*x^3 + 54*x^5) + (E^(3*x)*(-46656 + 11664*x^2) + E^(2*x)*(-216*x^3 - 216*x^4 - 54*x^5 + 54*x^6) + E^x*(2*x^6 - 2*x^7))*Log[x] + (-216*x^3 + 54*x^5 + (2*x^6 + E^(2*x)*(-139968 + 34992*x^2) + E^x*(-432*x^3 - 216*x^4 - 108*x^5 + 54*x^6))*Log[x])*Log[Log[x]] + (-216*x^3 - 54*x^5 + E^x*(-139968 + 34992*x^2))*Log[x]*Log[Log[x]]^2 + (-46656 + 11664*x^2)*Log[x]*Log[Log[x]]^3)/(E^(3*x)*x^5*Log[x] + 3*E^(2*x)*x^5*Log[x]*Log[Log[x]] + 3*E^x*x^5*Log[x]*Log[Log[x]]^2 + x^5*Log[x]*Log[Log[x]]^3),x]","2 \left(\frac{5832}{x^4}-\frac{2916}{x^2}+\frac{x^2}{2 \left(e^x+\log (\log (x))\right)^2}-\frac{27 \left(x^2-4\right)}{x \left(e^x+\log (\log (x))\right)}\right)","\left(\frac{27 \left(x-\frac{4}{x}\right)}{x}-\frac{x}{e^x+\log (\log (x))}\right)^2",1,"2*(5832/x^4 - 2916/x^2 + x^2/(2*(E^x + Log[Log[x]])^2) - (27*(-4 + x^2))/(x*(E^x + Log[Log[x]])))","A",1
9533,1,48,31,0.5431018,"\int \frac{12+22 x^2-2 x^3+e^{e^{-4+x}} \left(-x^2+2 x^3+e^{-4+x} \left(-x^3+x^4\right)\right)}{-12 x-9 x^2+22 x^3-x^4+e^{e^{-4+x}} \left(-x^3+x^4\right)} \, dx","Integrate[(12 + 22*x^2 - 2*x^3 + E^E^(-4 + x)*(-x^2 + 2*x^3 + E^(-4 + x)*(-x^3 + x^4)))/(-12*x - 9*x^2 + 22*x^3 - x^4 + E^E^(-4 + x)*(-x^3 + x^4)),x]","\frac{e^4 \log \left(e^{e^{x-4}} x^2-x^2+21 x+12\right)+e^4 \log (1-x)-e^4 \log (x)}{e^4}","\log (1-x)+\log \left(3 \left(\frac{4}{x}+5\right)+e^{e^{x-4}} x-x+6\right)",1,"(E^4*Log[1 - x] - E^4*Log[x] + E^4*Log[12 + 21*x - x^2 + E^E^(-4 + x)*x^2])/E^4","A",1
9534,1,36,23,0.1854637,"\int \frac{e^{-2 x} \left(32 e^x x^4+\left(-x^9+e^x \left(-160 x^4+32 x^5\right) \log (x)\right) \log \left(\frac{3}{\log (x)}\right)+\left(5 x^9-x^{10}\right) \log (x) \log ^2\left(\frac{3}{\log (x)}\right)\right)}{128 \log (x)} \, dx","Integrate[(32*E^x*x^4 + (-x^9 + E^x*(-160*x^4 + 32*x^5)*Log[x])*Log[3/Log[x]] + (5*x^9 - x^10)*Log[x]*Log[3/Log[x]]^2)/(128*E^(2*x)*Log[x]),x]","\frac{1}{256} e^{-2 x} x^5 \log \left(\frac{3}{\log (x)}\right) \left(x^5 \log \left(\frac{3}{\log (x)}\right)-64 e^x\right)","\left(\frac{1}{16} e^{-x} x^5 \log \left(\frac{3}{\log (x)}\right)-2\right)^2",1,"(x^5*Log[3/Log[x]]*(-64*E^x + x^5*Log[3/Log[x]]))/(256*E^(2*x))","A",1
9535,1,15,20,0.0685896,"\int \frac{e^{-1+x} (-32+32 x)}{e^{2 x}-2 e^x x+x^2} \, dx","Integrate[(E^(-1 + x)*(-32 + 32*x))/(E^(2*x) - 2*E^x*x + x^2),x]","-\frac{32 x}{e \left(e^x-x\right)}","2 \left(11-\frac{16 e^{x-1}}{e^x-x}\right)",1,"(-32*x)/(E*(E^x - x))","A",1
9536,1,24,25,0.3381528,"\int \frac{16 x^2+4 x^4+4 x \log (5)+e^{8 e} \left(16 x^2+8 x^4+x^6+\left(8 x+2 x^3\right) \log (5)+\log ^2(5)\right)+\left(-8 x^4+4 x \log (5)\right) \log (x) \log (\log (x))}{\left(16 x^3+8 x^5+x^7+\left(8 x^2+2 x^4\right) \log (5)+x \log ^2(5)\right) \log (x)} \, dx","Integrate[(16*x^2 + 4*x^4 + 4*x*Log[5] + E^(8*E)*(16*x^2 + 8*x^4 + x^6 + (8*x + 2*x^3)*Log[5] + Log[5]^2) + (-8*x^4 + 4*x*Log[5])*Log[x]*Log[Log[x]])/((16*x^3 + 8*x^5 + x^7 + (8*x^2 + 2*x^4)*Log[5] + x*Log[5]^2)*Log[x]),x]","\left(\frac{4 x}{x^3+4 x+\log (5)}+e^{8 e}\right) \log (\log (x))","\left(\frac{4}{x^2+\frac{\log (5)}{x}+4}+e^{8 e}\right) \log (\log (x))",1,"(E^(8*E) + (4*x)/(4*x + x^3 + Log[5]))*Log[Log[x]]","A",1
9537,1,47,32,0.1029364,"\int \frac{-13+e^4 (52-32 x)+8 x+e^{2 e^x} \left(-1+4 e^4+e^x \left(6-2 x+e^4 (-24+8 x)\right)\right)+e^{e^x} \left(10-4 x+e^4 (-40+16 x)+e^x \left(-12+10 x-2 x^2+e^4 \left(48-40 x+8 x^2\right)\right)\right)}{e^4} \, dx","Integrate[(-13 + E^4*(52 - 32*x) + 8*x + E^(2*E^x)*(-1 + 4*E^4 + E^x*(6 - 2*x + E^4*(-24 + 8*x))) + E^E^x*(10 - 4*x + E^4*(-40 + 16*x) + E^x*(-12 + 10*x - 2*x^2 + E^4*(48 - 40*x + 8*x^2))))/E^4,x]","\frac{\left(4 e^4-1\right) \left(-4 x^2+e^{e^x} \left(2 x^2-10 x+12\right)+13 x+e^{2 e^x} (x-3)\right)}{e^4}","\left(4-\frac{1}{e^4}\right) (x-3) \left(-x^2+\left(-x-e^{e^x}+2\right)^2-3\right)",1,"((-1 + 4*E^4)*(E^(2*E^x)*(-3 + x) + 13*x - 4*x^2 + E^E^x*(12 - 10*x + 2*x^2)))/E^4","A",1
9538,1,39,28,0.0967466,"\int \frac{953694 x+1262196 x^2+694960 x^3+196000 x^4+28000 x^5+1600 x^6+\left(-33614 x-48020 x^2-27440 x^3-7840 x^4-1120 x^5-64 x^6\right) \log (x)+\left(-33614 x-48020 x^2-27440 x^3-7840 x^4-1120 x^5-64 x^6\right) \log ^2(x)}{16807+24010 x+13720 x^2+3920 x^3+560 x^4+32 x^5} \, dx","Integrate[(953694*x + 1262196*x^2 + 694960*x^3 + 196000*x^4 + 28000*x^5 + 1600*x^6 + (-33614*x - 48020*x^2 - 27440*x^3 - 7840*x^4 - 1120*x^5 - 64*x^6)*Log[x] + (-33614*x - 48020*x^2 - 27440*x^3 - 7840*x^4 - 1120*x^5 - 64*x^6)*Log[x]^2)/(16807 + 24010*x + 13720*x^2 + 3920*x^3 + 560*x^4 + 32*x^5),x]","25 x^2+x^2 \left(-\log ^2(x)\right)-\frac{8 \left(560 x^3+4868 x^2+13720 x+12005\right)}{(2 x+7)^4}","x^2 \left(\left(\frac{16}{(2 x+7)^2}+5\right)^2-\log ^2(x)\right)+e^4",1,"25*x^2 - (8*(12005 + 13720*x + 4868*x^2 + 560*x^3))/(7 + 2*x)^4 - x^2*Log[x]^2","A",1
9539,1,31,26,0.8872697,"\int \frac{-20 e^{\frac{1}{5} (11 x+10 \log (3 x))} x^2 \log ^2(x)+e^{\frac{1}{10} (11 x+10 \log (3 x))} \left(30+30 x+\left(60+123 x+33 x^2\right) \log (x)\right)}{90-120 e^{\frac{1}{10} (11 x+10 \log (3 x))} x \log (x)+40 e^{\frac{1}{5} (11 x+10 \log (3 x))} x^2 \log ^2(x)} \, dx","Integrate[(-20*E^((11*x + 10*Log[3*x])/5)*x^2*Log[x]^2 + E^((11*x + 10*Log[3*x])/10)*(30 + 30*x + (60 + 123*x + 33*x^2)*Log[x]))/(90 - 120*E^((11*x + 10*Log[3*x])/10)*x*Log[x] + 40*E^((11*x + 10*Log[3*x])/5)*x^2*Log[x]^2),x]","\frac{1}{10} \left(-\frac{5 (x+1)}{2 e^{11 x/10} x^2 \log (x)-1}-5 x\right)","\frac{x (x+1)}{\frac{e^{-11 x/10}}{x \log (x)}-2 x}",1,"(-5*x - (5*(1 + x))/(-1 + 2*E^((11*x)/10)*x^2*Log[x]))/10","A",1
9540,1,39,24,0.6913228,"\int \frac{e^{4 x-2 x^2}+16 x^2+4 \log (5)+e^{2 x-x^2} (-8 x+(-2+2 x) \log (5))}{e^{4 x-2 x^2}-8 e^{2 x-x^2} x+16 x^2} \, dx","Integrate[(E^(4*x - 2*x^2) + 16*x^2 + 4*Log[5] + E^(2*x - x^2)*(-8*x + (-2 + 2*x)*Log[5]))/(E^(4*x - 2*x^2) - 8*E^(2*x - x^2)*x + 16*x^2),x]","\frac{e^{x^2} \left(\log (5)-4 x^2\right)+e^{2 x} x}{e^{2 x}-4 e^{x^2} x}","x+\frac{\log (5)}{e^{(3-x) x-x}-4 x}",1,"(E^(2*x)*x + E^x^2*(-4*x^2 + Log[5]))/(E^(2*x) - 4*E^x^2*x)","A",1
9541,1,28,27,0.0737797,"\int \frac{e^{\frac{9+123 x+30 x^2}{10 \log \left(\frac{2+x^2}{x}\right)}} \left(18+246 x+51 x^2-123 x^3-30 x^4+\left(246 x+120 x^2+123 x^3+60 x^4\right) \log \left(\frac{2+x^2}{x}\right)+\left(20+10 x^2\right) \log ^2\left(\frac{2+x^2}{x}\right)\right)}{\left(20+10 x^2\right) \log ^2\left(\frac{2+x^2}{x}\right)} \, dx","Integrate[(E^((9 + 123*x + 30*x^2)/(10*Log[(2 + x^2)/x]))*(18 + 246*x + 51*x^2 - 123*x^3 - 30*x^4 + (246*x + 120*x^2 + 123*x^3 + 60*x^4)*Log[(2 + x^2)/x] + (20 + 10*x^2)*Log[(2 + x^2)/x]^2))/((20 + 10*x^2)*Log[(2 + x^2)/x]^2),x]","x e^{\frac{3 \left(10 x^2+41 x+3\right)}{10 \log \left(x+\frac{2}{x}\right)}}","x e^{\frac{3 \left(x+\left(x+\frac{1}{10}\right) (x+3)\right)}{\log \left(x+\frac{2}{x}\right)}}",1,"E^((3*(3 + 41*x + 10*x^2))/(10*Log[2/x + x]))*x","A",1
9542,1,37,22,0.4104917,"\int \frac{-8-3 e^{10} x^3+e^{10+x} x^3}{4 x-e^{15} x^3+e^{10+x} x^3+e^{10} \left(4 x^3-3 x^4\right)} \, dx","Integrate[(-8 - 3*E^10*x^3 + E^(10 + x)*x^3)/(4*x - E^15*x^3 + E^(10 + x)*x^3 + E^10*(4*x^3 - 3*x^4)),x]","\log \left(e^{x+10} x^2+e^{10} (4-3 x) x^2-e^{15} x^2+4\right)-2 \log (x)","\log \left(-\frac{4}{e^{10} x^2}+3 x-e^x+e^5-4\right)",1,"-2*Log[x] + Log[4 - E^15*x^2 + E^(10 + x)*x^2 + E^10*(4 - 3*x)*x^2]","A",1
9543,1,39,26,1.4322907,"\int \frac{1}{10} e^{2-2 e^x} \left(4+20 e^{-2+2 e^x} x-8 e^x x-2 \log (6 x)+\left(-1+2 e^x x\right) \log ^2(6 x)\right) \, dx","Integrate[(E^(2 - 2*E^x)*(4 + 20*E^(-2 + 2*E^x)*x - 8*E^x*x - 2*Log[6*x] + (-1 + 2*E^x*x)*Log[6*x]^2))/10,x]","\frac{1}{10} e^{-2 e^x} x \left(10 e^{2 e^x} x-e^2 \log ^2(6 x)+4 e^2\right)","x^2-\frac{1}{10} e^{2-2 e^x} x \left(\log ^2(6 x)-4\right)",1,"(x*(4*E^2 + 10*E^(2*E^x)*x - E^2*Log[6*x]^2))/(10*E^(2*E^x))","A",1
9544,0,0,26,2.6590404,"\int \frac{e^{\frac{2 e^{\frac{5 e^5}{x}}-x^2+2 \log (2 x)}{x}} \left(e^{\frac{5 e^5}{x}} \left(-10 e^5-2 x\right)+2 x-x^3-2 x \log (2 x)\right)}{x^3} \, dx","Integrate[(E^((2*E^((5*E^5)/x) - x^2 + 2*Log[2*x])/x)*(E^((5*E^5)/x)*(-10*E^5 - 2*x) + 2*x - x^3 - 2*x*Log[2*x]))/x^3,x]","\int \frac{e^{\frac{2 e^{\frac{5 e^5}{x}}-x^2+2 \log (2 x)}{x}} \left(e^{\frac{5 e^5}{x}} \left(-10 e^5-2 x\right)+2 x-x^3-2 x \log (2 x)\right)}{x^3} \, dx","e^{x \left(\frac{2 \left(e^{\frac{5 e^5}{x}}+\log (2 x)\right)}{x^2}-1\right)}",1,"Integrate[(E^((2*E^((5*E^5)/x) - x^2 + 2*Log[2*x])/x)*(E^((5*E^5)/x)*(-10*E^5 - 2*x) + 2*x - x^3 - 2*x*Log[2*x]))/x^3, x]","F",-1
9545,1,14,23,0.0357283,"\int \frac{e^x \left(-256+256 x-255 x^2+256 x^3\right)}{x^2} \, dx","Integrate[(E^x*(-256 + 256*x - 255*x^2 + 256*x^3))/x^2,x]","e^x \left(256 x+\frac{256}{x}-511\right)","25-\frac{e^x \left(-256 (1-x)^2-x\right)}{x}",1,"E^x*(-511 + 256/x + 256*x)","A",1
9546,1,57,21,0.1211638,"\int \frac{64+48 e^3 x+12 e^6 x^2+e^9 x^3+e^{\frac{x^4}{16+8 e^3 x+e^6 x^2}} \left(144 x^3+18 e^3 x^4\right)}{-320+64 x+e^9 (-5+x) x^3+e^6 x^2 (-60+12 x)+e^3 x (-240+48 x)+e^{\frac{x^4}{16+8 e^3 x+e^6 x^2}} \left(576+432 e^3 x+108 e^6 x^2+9 e^9 x^3\right)} \, dx","Integrate[(64 + 48*E^3*x + 12*E^6*x^2 + E^9*x^3 + E^(x^4/(16 + 8*E^3*x + E^6*x^2))*(144*x^3 + 18*E^3*x^4))/(-320 + 64*x + E^9*(-5 + x)*x^3 + E^6*x^2*(-60 + 12*x) + E^3*x*(-240 + 48*x) + E^(x^4/(16 + 8*E^3*x + E^6*x^2))*(576 + 432*E^3*x + 108*E^6*x^2 + 9*E^9*x^3)),x]","\log \left(-9 \exp \left(\frac{x^2}{e^6}-\frac{8 x}{e^9}-\frac{256}{e^{12} \left(e^3 x+4\right)}+\frac{256}{e^{12} \left(e^3 x+4\right)^2}+\frac{48}{e^{12}}\right)-x+5\right)","\log \left(9 e^{\frac{x^4}{\left(e^3 x+4\right)^2}}+x-5\right)",1,"Log[5 - 9*E^(48/E^12 - (8*x)/E^9 + x^2/E^6 + 256/(E^12*(4 + E^3*x)^2) - 256/(E^12*(4 + E^3*x))) - x]","B",1
9547,1,23,27,0.0061368,"\int \frac{x^2+4 x^3+e^3 \left(-21 x-8 x^2\right) \left(x+4 x^2\right)+(5+20 x) \log (5)}{x^2+4 x^3} \, dx","Integrate[(x^2 + 4*x^3 + E^3*(-21*x - 8*x^2)*(x + 4*x^2) + (5 + 20*x)*Log[5])/(x^2 + 4*x^3),x]","-4 e^3 x^2-21 e^3 x+x-\frac{5 \log (5)}{x}","\frac{(x+5) \left(-4 e^3 \left(x^2+\frac{x}{4}\right)+x-\log (5)\right)}{x}",1,"x - 21*E^3*x - 4*E^3*x^2 - (5*Log[5])/x","A",1
9548,1,16,20,0.0074061,"\int \frac{-e^2+\left(-2 e^2-e^{50} x\right) \log (x)}{e^2 x \log (x)} \, dx","Integrate[(-E^2 + (-2*E^2 - E^50*x)*Log[x])/(E^2*x*Log[x]),x]","-e^{48} x-2 \log (x)-\log (\log (x))","\log \left(\frac{3 e^{-e^{48} x}}{2 x^2 \log (x)}\right)",1,"-(E^48*x) - 2*Log[x] - Log[Log[x]]","A",1
9549,1,13,13,0.0280316,"\int \frac{-25-50 e^x-25 x}{16 x-8 x^2+x^3+e^x \left(16-8 x+x^2\right)+\left(-8 x+2 x^2+e^x (-8+2 x)\right) \log \left(e^x+x\right)+\left(e^x+x\right) \log ^2\left(e^x+x\right)} \, dx","Integrate[(-25 - 50*E^x - 25*x)/(16*x - 8*x^2 + x^3 + E^x*(16 - 8*x + x^2) + (-8*x + 2*x^2 + E^x*(-8 + 2*x))*Log[E^x + x] + (E^x + x)*Log[E^x + x]^2),x]","\frac{25}{x+\log \left(x+e^x\right)-4}","\frac{25}{x+\log \left(x+e^x\right)-4}",1,"25/(-4 + x + Log[E^x + x])","A",1
9550,1,30,28,2.5423674,"\int \frac{-1+e^{-10+2 e^x-2 x} \left(-16+8 x-x^2\right)+e^{-5+e^x-x} \left(2+e^x (-8+2 x)\right)}{1+e^{-5+e^x-x} (8-2 x)+e^{-10+2 e^x-2 x} \left(16-8 x+x^2\right)} \, dx","Integrate[(-1 + E^(-10 + 2*E^x - 2*x)*(-16 + 8*x - x^2) + E^(-5 + E^x - x)*(2 + E^x*(-8 + 2*x)))/(1 + E^(-5 + E^x - x)*(8 - 2*x) + E^(-10 + 2*E^x - 2*x)*(16 - 8*x + x^2)),x]","-x-\frac{2 e^{x+5}}{e^{e^x} (x-4)-e^{x+5}}","-x+\frac{4}{2 e^{-x+e^x-5} (4-x)+2}+3",1,"(-2*E^(5 + x))/(-E^(5 + x) + E^E^x*(-4 + x)) - x","A",1
9551,1,37,34,0.1416814,"\int \frac{20 x^2-20 x^3+5 x^4+e \left(-20+20 x-5 x^2\right)+e^{2 e^4-2 x+\left(-e^4+x\right) \log ^4(x)} \left(3 x^2-2 x^3+\left(-8 x^2+4 x^3+e^4 \left(8 x-4 x^2\right)\right) \log ^3(x)+\left(-2 x^2+x^3\right) \log ^4(x)\right)}{20 x^2-20 x^3+5 x^4} \, dx","Integrate[(20*x^2 - 20*x^3 + 5*x^4 + E*(-20 + 20*x - 5*x^2) + E^(2*E^4 - 2*x + (-E^4 + x)*Log[x]^4)*(3*x^2 - 2*x^3 + (-8*x^2 + 4*x^3 + E^4*(8*x - 4*x^2))*Log[x]^3 + (-2*x^2 + x^3)*Log[x]^4))/(20*x^2 - 20*x^3 + 5*x^4),x]","\frac{1}{5} \left(5 x+\frac{5 e}{x}+\frac{e^{-\left(\left(e^4-x\right) \left(\log ^4(x)-2\right)\right)}}{x-2}\right)","x+\frac{e}{x}-\frac{e^{\left(x-e^4\right) \left(\log ^4(x)-2\right)}}{5 (2-x)}",1,"(1/(E^((E^4 - x)*(-2 + Log[x]^4))*(-2 + x)) + (5*E)/x + 5*x)/5","A",1
9552,1,22,23,0.0380723,"\int \left(512 x-640 x^3+400 x^4-90 x^5+7 x^6+e^{10+2 e^{40}} \left(2 x+3 x^2\right)+e^{5+e^{40}} \left(64 x+48 x^2-56 x^3+10 x^4\right)\right) \, dx","Integrate[512*x - 640*x^3 + 400*x^4 - 90*x^5 + 7*x^6 + E^(10 + 2*E^40)*(2*x + 3*x^2) + E^(5 + E^40)*(64*x + 48*x^2 - 56*x^3 + 10*x^4),x]","\left((x-4)^2+e^{5+e^{40}}\right)^2 x^2 (x+1)","\left((x-4)^2+e^{5+e^{40}}\right)^2 \left(x^3+x^2\right)",1,"(E^(5 + E^40) + (-4 + x)^2)^2*x^2*(1 + x)","A",1
9553,1,11,11,0.0007168,"\int \frac{1}{2} (2 e+x) \, dx","Integrate[(2*E + x)/2,x]","\frac{x^2}{4}+e x","\left(-\frac{x}{2}-e\right)^2",1,"E*x + x^2/4","A",1
9554,0,0,29,0.6340979,"\int \frac{4-x+8 x \log \left(8 e^{-x/4} x\right)+\left(-1-2 x^2+2 x^3+2 x \log (x)\right) \log ^2\left(8 e^{-x/4} x\right)}{4 x \log \left(8 e^{-x/4} x\right)+\left(x^3+x \log (x)\right) \log ^2\left(8 e^{-x/4} x\right)} \, dx","Integrate[(4 - x + 8*x*Log[(8*x)/E^(x/4)] + (-1 - 2*x^2 + 2*x^3 + 2*x*Log[x])*Log[(8*x)/E^(x/4)]^2)/(4*x*Log[(8*x)/E^(x/4)] + (x^3 + x*Log[x])*Log[(8*x)/E^(x/4)]^2),x]","\int \frac{4-x+8 x \log \left(8 e^{-x/4} x\right)+\left(-1-2 x^2+2 x^3+2 x \log (x)\right) \log ^2\left(8 e^{-x/4} x\right)}{4 x \log \left(8 e^{-x/4} x\right)+\left(x^3+x \log (x)\right) \log ^2\left(8 e^{-x/4} x\right)} \, dx","-\log \left(x^2+\log (x)+\frac{4}{\log \left(8 e^{-x/4} x\right)}\right)+2 x+3",1,"Integrate[(4 - x + 8*x*Log[(8*x)/E^(x/4)] + (-1 - 2*x^2 + 2*x^3 + 2*x*Log[x])*Log[(8*x)/E^(x/4)]^2)/(4*x*Log[(8*x)/E^(x/4)] + (x^3 + x*Log[x])*Log[(8*x)/E^(x/4)]^2), x]","F",-1
9555,0,0,34,2.1469114,"\int \frac{\exp \left(\frac{20+29 x-20 x^2-5 x^3-5 \log (4)}{225 x+45 x^2}\right) \left(-100-40 x-129 x^2-50 x^3-5 x^4+(25+10 x) \log (4)\right)}{3375 x^2+1350 x^3+135 x^4} \, dx","Integrate[(E^((20 + 29*x - 20*x^2 - 5*x^3 - 5*Log[4])/(225*x + 45*x^2))*(-100 - 40*x - 129*x^2 - 50*x^3 - 5*x^4 + (25 + 10*x)*Log[4]))/(3375*x^2 + 1350*x^3 + 135*x^4),x]","\int \frac{\exp \left(\frac{20+29 x-20 x^2-5 x^3-5 \log (4)}{225 x+45 x^2}\right) \left(-100-40 x-129 x^2-50 x^3-5 x^4+(25+10 x) \log (4)\right)}{3375 x^2+1350 x^3+135 x^4} \, dx","\frac{1}{3} e^{\frac{-x^2+x-\frac{\log (4)}{x+5}+\frac{4}{5}}{9 x}}-5",1,"Integrate[(E^((20 + 29*x - 20*x^2 - 5*x^3 - 5*Log[4])/(225*x + 45*x^2))*(-100 - 40*x - 129*x^2 - 50*x^3 - 5*x^4 + (25 + 10*x)*Log[4]))/(3375*x^2 + 1350*x^3 + 135*x^4), x]","F",-1
9556,1,16,16,0.0077124,"\int \frac{126-153 x-18 x^2}{e \left(64+160 x+160 x^2+80 x^3+20 x^4+2 x^5\right)} \, dx","Integrate[(126 - 153*x - 18*x^2)/(E*(64 + 160*x + 160*x^2 + 80*x^3 + 20*x^4 + 2*x^5)),x]","\frac{9 x (x+7)}{2 e (x+2)^4}","\frac{9 x (x+7)}{2 e (x+2)^4}",1,"(9*x*(7 + x))/(2*E*(2 + x)^4)","A",1
9557,1,19,20,0.0351859,"\int e^{-3+2 x+e^{e^4} x^2} \left(-3-6 x-6 e^{e^4} x^2\right) \, dx","Integrate[E^(-3 + 2*x + E^E^4*x^2)*(-3 - 6*x - 6*E^E^4*x^2),x]","-3 e^{e^{e^4} x^2+2 x-3} x","3-3 e^{x \left(e^{e^4} x+2\right)-3} x",1,"-3*E^(-3 + 2*x + E^E^4*x^2)*x","A",1
9558,1,60,22,0.1319003,"\int \frac{\left(-160 x-80 x^2\right) \log ^2(4)+\left(100 x^2+25 x^3\right) \log ^4(4)+\left((-160-80 x) \log ^2(4)+100 x \log ^4(4)\right) \log \left(x^2\right)-25 x \log ^4(4) \log ^2\left(x^2\right)}{128 x-160 x^2 \log ^2(4)+50 x^3 \log ^4(4)} \, dx","Integrate[((-160*x - 80*x^2)*Log[4]^2 + (100*x^2 + 25*x^3)*Log[4]^4 + ((-160 - 80*x)*Log[4]^2 + 100*x*Log[4]^4)*Log[x^2] - 25*x*Log[4]^4*Log[x^2]^2)/(128*x - 160*x^2*Log[4]^2 + 50*x^3*Log[4]^4),x]","\frac{25 x^2 \log ^4(4)+50 x \log ^4(4) \log \left(x^2\right)+25 \log ^4(4) \log ^2\left(x^2\right)-40 x \log ^2(4)+64}{10 \log ^2(4) \left(5 x \log ^2(4)-8\right)}","\frac{5 \left(\log \left(x^2\right)+x\right)^2}{10 x-\frac{16}{\log ^2(4)}}",1,"(64 - 40*x*Log[4]^2 + 25*x^2*Log[4]^4 + 50*x*Log[4]^4*Log[x^2] + 25*Log[4]^4*Log[x^2]^2)/(10*Log[4]^2*(-8 + 5*x*Log[4]^2))","B",1
9559,1,14,14,0.0076037,"\int \frac{50-2 x^2-2 \log (5)}{625+50 x^2+x^4+\left(-50-2 x^2\right) \log (5)+\log ^2(5)} \, dx","Integrate[(50 - 2*x^2 - 2*Log[5])/(625 + 50*x^2 + x^4 + (-50 - 2*x^2)*Log[5] + Log[5]^2),x]","\frac{2 x}{x^2+25-\log (5)}","\frac{2 x}{x^2+25-\log (5)}",1,"(2*x)/(25 + x^2 - Log[5])","A",1
9560,1,16,19,0.0984473,"\int \frac{64+5 e^{\frac{8+x}{4}}+64 x}{4 e^{\frac{8+x}{4}}+64 x} \, dx","Integrate[(64 + 5*E^((8 + x)/4) + 64*x)/(4*E^((8 + x)/4) + 64*x),x]","x+\log \left(16 x+e^{\frac{x}{4}+2}\right)","x+\log \left(16 x+e^{\frac{x}{4}+2}\right)-\frac{1}{2}",1,"x + Log[E^(2 + x/4) + 16*x]","A",1
9561,1,21,27,0.0458323,"\int \frac{e^{4 x} \left(16120 x^4+e \left(-1690 x-3380 x^2\right)\right)}{169 e^2-1612 e x^2+3844 x^4} \, dx","Integrate[(E^(4*x)*(16120*x^4 + E*(-1690*x - 3380*x^2)))/(169*E^2 - 1612*E*x^2 + 3844*x^4),x]","\frac{130 e^{4 x} x^2}{124 x^2-26 e}","\frac{e^{4 x} x}{x-\frac{\frac{3 x^2}{13}+e}{5 x}}",1,"(130*E^(4*x)*x^2)/(-26*E + 124*x^2)","A",1
9562,0,0,31,8.0249969,"\int \frac{14-2 x+4 \log (3)+e^{4+2 x} (1+\log (3))+e^{2+x} (9-6 x+4 \log (3))+e^{e^x} \left(2+e^{4+3 x} (25+25 \log (3))+e^x (100-50 x+100 \log (3))+e^{2+x} \left(1-x+e^x (100-25 x+100 \log (3))\right)\right)+e^{e^x} \left(e^{2+2 x} (-4+x-4 \log (3))+e^x (-4+2 x-4 \log (3))+e^{4+3 x} (-1-\log (3))\right) \log \left(\frac{2-x+2 \log (3)+e^{2+x} (1+\log (3))}{2+e^{2+x}}\right)}{4-2 x+4 \log (3)+e^{4+2 x} (1+\log (3))+e^{2+x} (4-x+4 \log (3))} \, dx","Integrate[(14 - 2*x + 4*Log[3] + E^(4 + 2*x)*(1 + Log[3]) + E^(2 + x)*(9 - 6*x + 4*Log[3]) + E^E^x*(2 + E^(4 + 3*x)*(25 + 25*Log[3]) + E^x*(100 - 50*x + 100*Log[3]) + E^(2 + x)*(1 - x + E^x*(100 - 25*x + 100*Log[3]))) + E^E^x*(E^(2 + 2*x)*(-4 + x - 4*Log[3]) + E^x*(-4 + 2*x - 4*Log[3]) + E^(4 + 3*x)*(-1 - Log[3]))*Log[(2 - x + 2*Log[3] + E^(2 + x)*(1 + Log[3]))/(2 + E^(2 + x))])/(4 - 2*x + 4*Log[3] + E^(4 + 2*x)*(1 + Log[3]) + E^(2 + x)*(4 - x + 4*Log[3])),x]","\int \frac{14-2 x+4 \log (3)+e^{4+2 x} (1+\log (3))+e^{2+x} (9-6 x+4 \log (3))+e^{e^x} \left(2+e^{4+3 x} (25+25 \log (3))+e^x (100-50 x+100 \log (3))+e^{2+x} \left(1-x+e^x (100-25 x+100 \log (3))\right)\right)+e^{e^x} \left(e^{2+2 x} (-4+x-4 \log (3))+e^x (-4+2 x-4 \log (3))+e^{4+3 x} (-1-\log (3))\right) \log \left(\frac{2-x+2 \log (3)+e^{2+x} (1+\log (3))}{2+e^{2+x}}\right)}{4-2 x+4 \log (3)+e^{4+2 x} (1+\log (3))+e^{2+x} (4-x+4 \log (3))} \, dx","x+\left(e^{e^x}+5\right) \left(25-\log \left(-\frac{x}{e^{x+2}+2}+1+\log (3)\right)\right)",1,"Integrate[(14 - 2*x + 4*Log[3] + E^(4 + 2*x)*(1 + Log[3]) + E^(2 + x)*(9 - 6*x + 4*Log[3]) + E^E^x*(2 + E^(4 + 3*x)*(25 + 25*Log[3]) + E^x*(100 - 50*x + 100*Log[3]) + E^(2 + x)*(1 - x + E^x*(100 - 25*x + 100*Log[3]))) + E^E^x*(E^(2 + 2*x)*(-4 + x - 4*Log[3]) + E^x*(-4 + 2*x - 4*Log[3]) + E^(4 + 3*x)*(-1 - Log[3]))*Log[(2 - x + 2*Log[3] + E^(2 + x)*(1 + Log[3]))/(2 + E^(2 + x))])/(4 - 2*x + 4*Log[3] + E^(4 + 2*x)*(1 + Log[3]) + E^(2 + x)*(4 - x + 4*Log[3])), x]","F",-1
9563,1,90,38,0.0667945,"\int \frac{-25 x^4+60 x^5-21 x^6+2 x^7+\left(120 x^2-264 x^3+48 x^4\right) \log (3)+(-144+288 x) \log ^2(3)+\left(16 x^4 \log (3)-384 x \log ^2(3)\right) \log (5)}{\left(25 x^4-10 x^5+x^6+\left(-120 x^2+24 x^3\right) \log (3)+144 \log ^2(3)\right) \log (5)} \, dx","Integrate[(-25*x^4 + 60*x^5 - 21*x^6 + 2*x^7 + (120*x^2 - 264*x^3 + 48*x^4)*Log[3] + (-144 + 288*x)*Log[3]^2 + (16*x^4*Log[3] - 384*x*Log[3]^2)*Log[5])/((25*x^4 - 10*x^5 + x^6 + (-120*x^2 + 24*x^3)*Log[3] + 144*Log[3]^2)*Log[5]),x]","\frac{x \left(x^4 (81 \log (3)-125)+x^3 (750-486 \log (3))+5 x^2 (81 \log (3)-125)-4 x \log (3) (375-500 \log (5)+81 \log (3) (\log (625)-3))+12 (125-81 \log (3)) \log (3)\right)}{(81 \log (3)-125) \log (5) \left(x^3-5 x^2+12 \log (3)\right)}","\frac{4}{\frac{5-x}{4 \log (3)}-\frac{3}{x^2}}-\frac{-x^2+x-5}{\log (5)}",1,"(x*(x^3*(750 - 486*Log[3]) + 12*(125 - 81*Log[3])*Log[3] + 5*x^2*(-125 + 81*Log[3]) + x^4*(-125 + 81*Log[3]) - 4*x*Log[3]*(375 - 500*Log[5] + 81*Log[3]*(-3 + Log[625]))))/((-5*x^2 + x^3 + 12*Log[3])*(-125 + 81*Log[3])*Log[5])","B",1
9564,1,30,28,0.2116551,"\int \frac{-10+2 e^3-2 x+e^x \left(-50+e^3 (10-10 x)+35 x+10 x^2\right)+e^x \left(10-7 x-2 x^2+e^3 (-2+2 x)\right) \log (x)+\left(-50+10 e^3-15 x+\left(10-2 e^3+3 x\right) \log (x)\right) \log (5-\log (x))}{e^x \left(25 x-5 e^3 x+5 x^2\right)+e^x \left(-5 x+e^3 x-x^2\right) \log (x)+\left(25 x-5 e^3 x+5 x^2+\left(-5 x+e^3 x-x^2\right) \log (x)\right) \log (5-\log (x))} \, dx","Integrate[(-10 + 2*E^3 - 2*x + E^x*(-50 + E^3*(10 - 10*x) + 35*x + 10*x^2) + E^x*(10 - 7*x - 2*x^2 + E^3*(-2 + 2*x))*Log[x] + (-50 + 10*E^3 - 15*x + (10 - 2*E^3 + 3*x)*Log[x])*Log[5 - Log[x]])/(E^x*(25*x - 5*E^3*x + 5*x^2) + E^x*(-5*x + E^3*x - x^2)*Log[x] + (25*x - 5*E^3*x + 5*x^2 + (-5*x + E^3*x - x^2)*Log[x])*Log[5 - Log[x]]),x]","-2 \log (x)-\log \left(x-e^3+5\right)+2 \log \left(e^x+\log (5-\log (x))\right)","\log \left(\frac{\left(e^x+\log (5-\log (x))\right)^2}{\left(-x+e^3-5\right) x^2}\right)",1,"-2*Log[x] - Log[5 - E^3 + x] + 2*Log[E^x + Log[5 - Log[x]]]","A",1
9565,1,4,16,0.0002403,"\int -\frac{1}{x} \, dx","Integrate[-x^(-1),x]","-\log (x)","\log \left(\frac{e^5 (-2-\log (2))}{x}\right)-1",1,"-Log[x]","A",1
9566,0,0,30,1.9442827,"\int \frac{e^{\frac{-x+\log (x)}{\left(5+e^x\right) \log \left(\log \left(25 x^2\right)\right)}} \left(10 x \log (2)+2 e^x x \log (2)+\left(-10 \log (2)-2 e^x \log (2)\right) \log (x)+\left((5-5 x) \log (2)+e^x \left(1-x+x^2\right) \log (2)-e^x x \log (2) \log (x)\right) \log \left(25 x^2\right) \log \left(\log \left(25 x^2\right)\right)\right)}{\left(25 x+10 e^x x+e^{2 x} x\right) \log \left(25 x^2\right) \log ^2\left(\log \left(25 x^2\right)\right)} \, dx","Integrate[(E^((-x + Log[x])/((5 + E^x)*Log[Log[25*x^2]]))*(10*x*Log[2] + 2*E^x*x*Log[2] + (-10*Log[2] - 2*E^x*Log[2])*Log[x] + ((5 - 5*x)*Log[2] + E^x*(1 - x + x^2)*Log[2] - E^x*x*Log[2]*Log[x])*Log[25*x^2]*Log[Log[25*x^2]]))/((25*x + 10*E^x*x + E^(2*x)*x)*Log[25*x^2]*Log[Log[25*x^2]]^2),x]","\int \frac{e^{\frac{-x+\log (x)}{\left(5+e^x\right) \log \left(\log \left(25 x^2\right)\right)}} \left(10 x \log (2)+2 e^x x \log (2)+\left(-10 \log (2)-2 e^x \log (2)\right) \log (x)+\left((5-5 x) \log (2)+e^x \left(1-x+x^2\right) \log (2)-e^x x \log (2) \log (x)\right) \log \left(25 x^2\right) \log \left(\log \left(25 x^2\right)\right)\right)}{\left(25 x+10 e^x x+e^{2 x} x\right) \log \left(25 x^2\right) \log ^2\left(\log \left(25 x^2\right)\right)} \, dx","\log (2) \left(e^{\frac{\log (x)-x}{\left(e^x+5\right) \log \left(\log \left(25 x^2\right)\right)}}-5\right)",1,"Integrate[(E^((-x + Log[x])/((5 + E^x)*Log[Log[25*x^2]]))*(10*x*Log[2] + 2*E^x*x*Log[2] + (-10*Log[2] - 2*E^x*Log[2])*Log[x] + ((5 - 5*x)*Log[2] + E^x*(1 - x + x^2)*Log[2] - E^x*x*Log[2]*Log[x])*Log[25*x^2]*Log[Log[25*x^2]]))/((25*x + 10*E^x*x + E^(2*x)*x)*Log[25*x^2]*Log[Log[25*x^2]]^2), x]","F",-1
9567,1,25,20,0.033016,"\int \frac{-96+48 x-6 x^2+e^2 \left(-160+16 x-8 x^2\right)}{e^2 \left(16000-3200 x-920 x^2+76 x^3+22 x^4+x^5\right)} \, dx","Integrate[(-96 + 48*x - 6*x^2 + E^2*(-160 + 16*x - 8*x^2))/(E^2*(16000 - 3200*x - 920*x^2 + 76*x^3 + 22*x^4 + x^5)),x]","\frac{\left(3+4 e^2\right) x-12}{e^2 (x-4) (x+10)^2}","\frac{\frac{4 x}{x-4}+\frac{3}{e^2}}{(x+10)^2}",1,"(-12 + (3 + 4*E^2)*x)/(E^2*(-4 + x)*(10 + x)^2)","A",1
9568,1,20,22,0.0222257,"\int \frac{-132 e^5+9000 x+180 x^2}{900 x^4+e^{10} \left(9+6 x+x^2\right)+e^5 \left(-180 x^2-60 x^3\right)} \, dx","Integrate[(-132*E^5 + 9000*x + 180*x^2)/(900*x^4 + E^10*(9 + 6*x + x^2) + E^5*(-180*x^2 - 60*x^3)),x]","\frac{6 (x+25)}{e^5 (x+3)-30 x^2}","\frac{x+25}{\frac{1}{6} e^5 (x+3)-5 x^2}",1,"(6*(25 + x))/(-30*x^2 + E^5*(3 + x))","A",1
9569,1,17,17,0.0187492,"\int \frac{e^{\frac{3 x^2-3 \log \left(x^2\right)}{x^6}} \left(-6-12 x^2+18 \log \left(x^2\right)\right)}{x^7} \, dx","Integrate[(E^((3*x^2 - 3*Log[x^2])/x^6)*(-6 - 12*x^2 + 18*Log[x^2]))/x^7,x]","e^{\frac{3}{x^4}} \left(x^2\right)^{-\frac{3}{x^6}}","e^{\frac{3 \left(x^2-\log \left(x^2\right)\right)}{x^6}}",1,"E^(3/x^4)/(x^2)^(3/x^6)","A",1
9570,1,31,26,0.1615361,"\int \frac{-x+e^{-3-e^x+x} \left(2 x-x^2+e^x x^2\right) \log (2 x \log (4))+2 x \log (2 x \log (4)) \log (\log (2 x \log (4)))}{e^{-6-2 e^x+2 x} \log (2 x \log (4))+2 e^{-3-e^x+x} \log (2 x \log (4)) \log (\log (2 x \log (4)))+\log (2 x \log (4)) \log ^2(\log (2 x \log (4)))} \, dx","Integrate[(-x + E^(-3 - E^x + x)*(2*x - x^2 + E^x*x^2)*Log[2*x*Log[4]] + 2*x*Log[2*x*Log[4]]*Log[Log[2*x*Log[4]]])/(E^(-6 - 2*E^x + 2*x)*Log[2*x*Log[4]] + 2*E^(-3 - E^x + x)*Log[2*x*Log[4]]*Log[Log[2*x*Log[4]]] + Log[2*x*Log[4]]*Log[Log[2*x*Log[4]]]^2),x]","\frac{e^{e^x+3} x^2}{e^x+e^{e^x+3} \log (\log (x \log (16)))}","\frac{x^2}{e^{x-e^x-3}+\log (\log (2 x \log (4)))}+1",1,"(E^(3 + E^x)*x^2)/(E^x + E^(3 + E^x)*Log[Log[x*Log[16]]])","A",1
9571,1,48,26,0.0313087,"\int \frac{-1+192 x+6 x^2+15 x^4+\left(-4-4 x^2\right) \log \left(1+x^2\right)}{2+2 x^2} \, dx","Integrate[(-1 + 192*x + 6*x^2 + 15*x^4 + (-4 - 4*x^2)*Log[1 + x^2])/(2 + 2*x^2),x]","\frac{1}{2} \left(5 x^3-4 x \log \left(x^2+1\right)-x+(96-4 i) \log (-x+i)+(96+4 i) \log (x+i)-8 \tan ^{-1}(x)\right)","\frac{1}{2} \left(5 x^3+(24-x) \left(4 \log \left(x^2+1\right)+1\right)\right)",1,"(-x + 5*x^3 - 8*ArcTan[x] + (96 - 4*I)*Log[I - x] + (96 + 4*I)*Log[I + x] - 4*x*Log[1 + x^2])/2","C",1
9572,1,31,27,0.0782706,"\int \frac{-9 e^{2/3}-9 e^3+e^{-4+x} \left(162-72 x+8 x^2\right)}{162-72 x+8 x^2} \, dx","Integrate[(-9*E^(2/3) - 9*E^3 + E^(-4 + x)*(162 - 72*x + 8*x^2))/(162 - 72*x + 8*x^2),x]","\frac{2 e^x+\frac{9 \left(e^{14/3}+e^7\right)}{4 x-18}}{2 e^4}","\frac{\left(e^{2/3}+e^3\right) x}{4 \left(x-\frac{9}{2}\right)}+e^{x-4}",1,"(2*E^x + (9*(E^(14/3) + E^7))/(-18 + 4*x))/(2*E^4)","A",1
9573,1,36,29,0.0230574,"\int \left(12-16 x+6 x^2+e^{3/4} \left(4-8 x+3 x^2\right)+\left(4-8 x+3 x^2\right) \log (2)\right) \, dx","Integrate[12 - 16*x + 6*x^2 + E^(3/4)*(4 - 8*x + 3*x^2) + (4 - 8*x + 3*x^2)*Log[2],x]","\frac{1}{3} x \left(x^2 (6+\log (8))+3 e^{3/4} (x-2)^2-12 x (2+\log (2))+36+\log (4096)\right)","x \left(x-(2-x)^2 \left(\frac{1}{x}-e^{3/4}-2-\log (2)\right)\right)",1,"(x*(36 + 3*E^(3/4)*(-2 + x)^2 - 12*x*(2 + Log[2]) + x^2*(6 + Log[8]) + Log[4096]))/3","A",1
9574,1,47,28,0.0912707,"\int \frac{-5-20 x-20 x^2+10 x^3+44 x^4+19 x^5+\left(-4 x^4-2 x^5\right) \log (x)}{5 x+15 x^2+15 x^3+5 x^4} \, dx","Integrate[(-5 - 20*x - 20*x^2 + 10*x^3 + 44*x^4 + 19*x^5 + (-4*x^4 - 2*x^5)*Log[x])/(5*x + 15*x^2 + 15*x^3 + 5*x^4),x]","\frac{5 \left(2 x^4+x^3-4 x^2-7 x-3\right)-\left(x^4+5 x^2+10 x+5\right) \log (x)}{5 (x+1)^2}","\left(\frac{x^4}{5 (x+1)^2}+1\right) (5-\log (x))+x^2-x",1,"(5*(-3 - 7*x - 4*x^2 + x^3 + 2*x^4) - (5 + 10*x + 5*x^2 + x^4)*Log[x])/(5*(1 + x)^2)","A",1
9575,1,18,18,1.8054283,"\int \frac{-2 x-x^2-2 \log \left(\frac{5}{4}\right)}{4 x+4 x^2+x^3+\left(4+4 x+x^2\right) \log \left(\frac{5}{4}\right)+\left(-4 x^2-2 x^3+\left(-4 x-2 x^2\right) \log \left(\frac{5}{4}\right)\right) \log \left(x+\log \left(\frac{5}{4}\right)\right)+\left(x^3+x^2 \log \left(\frac{5}{4}\right)\right) \log ^2\left(x+\log \left(\frac{5}{4}\right)\right)} \, dx","Integrate[(-2*x - x^2 - 2*Log[5/4])/(4*x + 4*x^2 + x^3 + (4 + 4*x + x^2)*Log[5/4] + (-4*x^2 - 2*x^3 + (-4*x - 2*x^2)*Log[5/4])*Log[x + Log[5/4]] + (x^3 + x^2*Log[5/4])*Log[x + Log[5/4]]^2),x]","-\frac{x}{x+x \left(-\log \left(x+\log \left(\frac{5}{4}\right)\right)\right)+2}","\frac{x}{-x+x \log \left(x+\log \left(\frac{5}{4}\right)\right)-2}",1,"-(x/(2 + x - x*Log[x + Log[5/4]]))","A",1
9576,1,22,22,0.3463761,"\int \frac{4+e^{\frac{e^{3 x}}{x}} \left(-1+\frac{e^{3 x} (-1+3 x) \log \left(-\frac{x}{3}\right)}{x}\right)}{x \log ^2\left(-\frac{x}{3}\right)} \, dx","Integrate[(4 + E^(E^(3*x)/x)*(-1 + (E^(3*x)*(-1 + 3*x)*Log[-1/3*x])/x))/(x*Log[-1/3*x]^2),x]","\frac{e^{\frac{e^{3 x}}{x}}-4}{\log \left(-\frac{x}{3}\right)}","\frac{e^{\frac{e^{3 x}}{x}}-4}{\log \left(-\frac{x}{3}\right)}",1,"(-4 + E^(E^(3*x)/x))/Log[-1/3*x]","A",1
9577,1,19,20,0.0055763,"\int \frac{-6 e^{25}-3 x^3+e^x x^3}{2 x^3} \, dx","Integrate[(-6*E^25 - 3*x^3 + E^x*x^3)/(2*x^3),x]","\frac{1}{2} \left(\frac{3 e^{25}}{x^2}-3 x+e^x\right)","\frac{1}{2} \left(\frac{3 e^{25}}{x^2}-3 x+e^x+1\right)",1,"(E^x + (3*E^25)/x^2 - 3*x)/2","A",1
9578,1,16,19,0.0001391,"\int \left(-198 x+60 x^2-4 x^3\right) \, dx","Integrate[-198*x + 60*x^2 - 4*x^3,x]","-x^4+20 x^3-99 x^2","x \left(x-(10-x)^2 x\right)+e^3-7",1,"-99*x^2 + 20*x^3 - x^4","A",1
9579,1,22,22,0.551333,"\int \frac{e^{\frac{2 e^{8 x^4}-4 e^{4 x^4} x^4+2 x^8}{x^4}} \left(8 x^8-64 e^{4 x^4} x^8+e^{8 x^4} \left(-8+64 x^4\right)\right)}{x^5} \, dx","Integrate[(E^((2*E^(8*x^4) - 4*E^(4*x^4)*x^4 + 2*x^8)/x^4)*(8*x^8 - 64*E^(4*x^4)*x^8 + E^(8*x^4)*(-8 + 64*x^4)))/x^5,x]","e^{\frac{2 \left(e^{4 x^4}-x^4\right)^2}{x^4}}","e^{2 \left(x^2-\frac{e^{4 x^4}}{x^2}\right)^2}",1,"E^((2*(E^(4*x^4) - x^4)^2)/x^4)","A",1
9580,1,88,17,0.0456807,"\int \frac{-27+e^6+e^4 (-9-3 x)-27 x-9 x^2-x^3+15 x^4+3 x^5+e^2 \left(27+18 x+3 x^2-5 x^4\right)}{-27+e^6+e^4 (-9-3 x)-27 x-9 x^2-x^3+e^2 \left(27+18 x+3 x^2\right)} \, dx","Integrate[(-27 + E^6 + E^4*(-9 - 3*x) - 27*x - 9*x^2 - x^3 + 15*x^4 + 3*x^5 + E^2*(27 + 18*x + 3*x^2 - 5*x^4))/(-27 + E^6 + E^4*(-9 - 3*x) - 27*x - 9*x^2 - x^3 + E^2*(27 + 18*x + 3*x^2)),x]","\left(-x+e^2-3\right)^3-5 \left(e^2-3\right) \left(-x+e^2-3\right)^2-\left(-89+60 e^2-10 e^4\right) \left(-x+e^2-3\right)+\frac{5 \left(e^2-3\right)^4}{-x+e^2-3}-\frac{\left(e^2-3\right)^5}{\left(-x+e^2-3\right)^2}","x-\frac{x^5}{\left(x-e^2+3\right)^2}",1,"-((-3 + E^2)^5/(-3 + E^2 - x)^2) + (5*(-3 + E^2)^4)/(-3 + E^2 - x) - (-89 + 60*E^2 - 10*E^4)*(-3 + E^2 - x) - 5*(-3 + E^2)*(-3 + E^2 - x)^2 + (-3 + E^2 - x)^3","B",1
9581,1,29,19,2.4326566,"\int \frac{e^x (40-20 x)+e^x (10-5 x) \log (-2+x)+\frac{e^{4+\log ^2(4+\log (-2+x))} \left(e^x (-12+4 x)+e^x (-2+x) \log (-2+x)+2 e^x \log (4+\log (-2+x))\right)}{(4+\log (-2+x))^4}}{-8+4 x+(-2+x) \log (-2+x)} \, dx","Integrate[(E^x*(40 - 20*x) + E^x*(10 - 5*x)*Log[-2 + x] + (E^(4 + Log[4 + Log[-2 + x]]^2)*(E^x*(-12 + 4*x) + E^x*(-2 + x)*Log[-2 + x] + 2*E^x*Log[4 + Log[-2 + x]]))/(4 + Log[-2 + x])^4)/(-8 + 4*x + (-2 + x)*Log[-2 + x]),x]","\frac{e^{x+\log ^2(\log (x-2)+4)+4}}{(\log (x-2)+4)^4}-5 e^x","e^x \left(e^{(\log (\log (x-2)+4)-2)^2}-5\right)",1,"-5*E^x + E^(4 + x + Log[4 + Log[-2 + x]]^2)/(4 + Log[-2 + x])^4","A",1
9582,1,228,25,0.2405811,"\int \frac{-16 x-16 x^2 \log (2)+\left(-20+20 x-4 x^3\right) \log ^2(2)+\left(16 x \log (2)+8 x^2 \log ^2(2)\right) \log (-x)-4 x \log ^2(2) \log ^2(-x)}{64 x-32 x^2+4 x^3+\left(-80 x+84 x^2-32 x^3+4 x^4\right) \log (2)+\left(25 x-40 x^2+26 x^3-8 x^4+x^5\right) \log ^2(2)+\left(\left(-64 x+32 x^2-4 x^3\right) \log (2)+\left(40 x-42 x^2+16 x^3-2 x^4\right) \log ^2(2)\right) \log (-x)+\left(16 x-8 x^2+x^3\right) \log ^2(2) \log ^2(-x)} \, dx","Integrate[(-16*x - 16*x^2*Log[2] + (-20 + 20*x - 4*x^3)*Log[2]^2 + (16*x*Log[2] + 8*x^2*Log[2]^2)*Log[-x] - 4*x*Log[2]^2*Log[-x]^2)/(64*x - 32*x^2 + 4*x^3 + (-80*x + 84*x^2 - 32*x^3 + 4*x^4)*Log[2] + (25*x - 40*x^2 + 26*x^3 - 8*x^4 + x^5)*Log[2]^2 + ((-64*x + 32*x^2 - 4*x^3)*Log[2] + (40*x - 42*x^2 + 16*x^3 - 2*x^4)*Log[2]^2)*Log[-x] + (16*x - 8*x^2 + x^3)*Log[2]^2*Log[-x]^2),x]","-\frac{4 \left(x^4 \left(-\log ^3(2)\right)+x^3 \log (2) \left(5 \log ^2(2)-\log (4)+\log (2) \log (16)\right)+x^2 \left(-15 \log ^3(2)-\log ^2(2) (\log (16)-2)+\log ^2(16)\right)+\left(x^3 \log ^3(2)-x^2 \log ^2(2) \log (512)+x \log ^2(2) (8+\log (524288))-x \log (4) \log (16)-\log (2) \log ^2(16)\right) \log (-x)+x \log (2) \left(-5 \log ^2(2)+\log (4)+\log (2) (\log (2097152)-40)\right)+\log ^2(2) \log (1048576)+\log (16) \log (256)-\log (2) \log (16) \log (32)\right)}{\left(x^3 \log ^2(2)-x^2 \left(\log ^2(2)+\log (4) \log (16)\right)+x (\log (16) \log (64)-\log (2) \log (32))-\log ^2(16)\right) \left(x^2 \log (2)+x (2-4 \log (2))+(\log (16)-x \log (2)) \log (-x)-8+\log (32)\right)}","\frac{4}{x+\frac{5}{x-\log (-x)+\frac{2}{\log (2)}}-4}",1,"(-4*(-(x^4*Log[2]^3) + x^3*Log[2]*(5*Log[2]^2 - Log[4] + Log[2]*Log[16]) + x^2*(-15*Log[2]^3 - Log[2]^2*(-2 + Log[16]) + Log[16]^2) - Log[2]*Log[16]*Log[32] + Log[16]*Log[256] + Log[2]^2*Log[1048576] + x*Log[2]*(-5*Log[2]^2 + Log[4] + Log[2]*(-40 + Log[2097152])) + (x^3*Log[2]^3 - x*Log[4]*Log[16] - Log[2]*Log[16]^2 - x^2*Log[2]^2*Log[512] + x*Log[2]^2*(8 + Log[524288]))*Log[-x]))/((x^3*Log[2]^2 - Log[16]^2 - x^2*(Log[2]^2 + Log[4]*Log[16]) + x*(-(Log[2]*Log[32]) + Log[16]*Log[64]))*(-8 + x*(2 - 4*Log[2]) + x^2*Log[2] + Log[32] + (-(x*Log[2]) + Log[16])*Log[-x]))","B",0
9583,1,27,28,0.0745331,"\int \frac{e^{\frac{3 x}{-5+3 e^{14} x^2}} \left(110-30 x+18 e^{28} x^4+e^{14} \left(-24 x^2-18 x^3\right)+e^{-\frac{3 x}{-5+3 e^{14} x^2}} \left(-25+30 e^{14} x^2-9 e^{28} x^4\right)\right)}{25-30 e^{14} x^2+9 e^{28} x^4} \, dx","Integrate[(E^((3*x)/(-5 + 3*E^14*x^2))*(110 - 30*x + 18*E^28*x^4 + E^14*(-24*x^2 - 18*x^3) + (-25 + 30*E^14*x^2 - 9*E^28*x^4)/E^((3*x)/(-5 + 3*E^14*x^2))))/(25 - 30*E^14*x^2 + 9*E^28*x^4),x]","e^{\frac{3 x}{3 e^{14} x^2-5}} (2 x-4)-x","e^{-\frac{3 x}{5-3 e^{14} x^2}} (2 x-4)-x-4",1,"-x + E^((3*x)/(-5 + 3*E^14*x^2))*(-4 + 2*x)","A",1
9584,1,28,28,0.32049,"\int \frac{\exp \left(\frac{-5+5 x^2+e^x x^2+\left(-50 x-10 e^x x\right) \log (x)+\left(125 x+25 e^x x\right) \log ^2(x)}{5+e^x}\right) \left(-250+50 x+e^{2 x} (-10+2 x)+e^x (-95+20 x)+\left(1000+400 e^x+40 e^{2 x}\right) \log (x)+\left(625+250 e^x+25 e^{2 x}\right) \log ^2(x)\right)}{25+10 e^x+e^{2 x}} \, dx","Integrate[(E^((-5 + 5*x^2 + E^x*x^2 + (-50*x - 10*E^x*x)*Log[x] + (125*x + 25*E^x*x)*Log[x]^2)/(5 + E^x))*(-250 + 50*x + E^(2*x)*(-10 + 2*x) + E^x*(-95 + 20*x) + (1000 + 400*E^x + 40*E^(2*x))*Log[x] + (625 + 250*E^x + 25*E^(2*x))*Log[x]^2))/(25 + 10*E^x + E^(2*x)),x]","x^{-10 x} e^{x^2-\frac{5}{e^x+5}+25 x \log ^2(x)}","e^{x^2-x-\frac{5}{e^x+5}+x (5 \log (x)-1)^2}",1,"E^(-5/(5 + E^x) + x^2 + 25*x*Log[x]^2)/x^(10*x)","A",1
9585,1,31,33,0.0618026,"\int \frac{1-2 x+x^2+e^3 \left(-1+2 x-x^2\right)+\left(-x+x^2+e^3 \left(x-x^2\right)\right) \log (x)+\left(-4+e^3 (4-2 x)+2 x+\left(-2+e^3 (2-2 x)+2 x\right) \log (x)\right) \log (2+\log (2))+\left(-x+e^3 x+\left(-2+2 e^3\right) \log (2+\log (2))\right) \log \left(\frac{1}{2} (x+2 \log (2+\log (2)))\right)}{-x^2-x^2 \log (x)+(-2 x-2 x \log (x)) \log (2+\log (2))+(x+2 \log (2+\log (2))) \log \left(\frac{1}{2} (x+2 \log (2+\log (2)))\right)} \, dx","Integrate[(1 - 2*x + x^2 + E^3*(-1 + 2*x - x^2) + (-x + x^2 + E^3*(x - x^2))*Log[x] + (-4 + E^3*(4 - 2*x) + 2*x + (-2 + E^3*(2 - 2*x) + 2*x)*Log[x])*Log[2 + Log[2]] + (-x + E^3*x + (-2 + 2*E^3)*Log[2 + Log[2]])*Log[(x + 2*Log[2 + Log[2]])/2])/(-x^2 - x^2*Log[x] + (-2*x - 2*x*Log[x])*Log[2 + Log[2]] + (x + 2*Log[2 + Log[2]])*Log[(x + 2*Log[2 + Log[2]])/2]),x]","\left(e^3-1\right) \left(x-\log \left(x+x \log (x)-\log \left(\frac{x}{2}+\log (2+\log (2))\right)\right)\right)","\left(1-e^3\right) \left(\log \left(x+x \log (x)-\log \left(\frac{x}{2}+\log (2+\log (2))\right)\right)-x\right)",1,"(-1 + E^3)*(x - Log[x + x*Log[x] - Log[x/2 + Log[2 + Log[2]]]])","A",1
9586,1,49,28,0.0702976,"\int \frac{336-128 x+592 x^2-256 x^3+256 x^4-128 x^5+\left(128 x-8 x^2+320 x^3-128 x^4+192 x^5\right) \log (x)+\left(-75 x^2-64 x^3+16 x^4-72 x^5\right) \log ^2(x)+\left(10 x^2+8 x^5\right) \log ^3(x)}{7056 x-5376 x^2+11776 x^3-9472 x^4+6144 x^5-4096 x^6+1024 x^7+\left(-840 x+320 x^2-3328 x^3+2688 x^4-2560 x^5+2048 x^6-512 x^7\right) \log (x)+\left(25 x+160 x^3-80 x^4+256 x^5-256 x^6+64 x^7\right) \log ^2(x)} \, dx","Integrate[(336 - 128*x + 592*x^2 - 256*x^3 + 256*x^4 - 128*x^5 + (128*x - 8*x^2 + 320*x^3 - 128*x^4 + 192*x^5)*Log[x] + (-75*x^2 - 64*x^3 + 16*x^4 - 72*x^5)*Log[x]^2 + (10*x^2 + 8*x^5)*Log[x]^3)/(7056*x - 5376*x^2 + 11776*x^3 - 9472*x^4 + 6144*x^5 - 4096*x^6 + 1024*x^7 + (-840*x + 320*x^2 - 3328*x^3 + 2688*x^4 - 2560*x^5 + 2048*x^6 - 512*x^7)*Log[x] + (25*x + 160*x^3 - 80*x^4 + 256*x^5 - 256*x^6 + 64*x^7)*Log[x]^2),x]","\frac{\log (x) \left(4 x^2+x^2 (-\log (x))+4\right)}{-32 x^3+64 x^2+\left(8 x^3-16 x^2-5\right) \log (x)-32 x+84}","\frac{\log (x)}{\frac{5}{x^2+\frac{4}{4-\log (x)}}-8 x+16}",1,"(Log[x]*(4 + 4*x^2 - x^2*Log[x]))/(84 - 32*x + 64*x^2 - 32*x^3 + (-5 - 16*x^2 + 8*x^3)*Log[x])","A",1
9587,1,21,27,1.1878376,"\int \frac{\exp \left(\frac{3-3 x-3 x^2+4 x^3+e^x \left(-1+x^2\right)}{-1+x^2}\right) \left(-3+9 x^2-4 x^4+e^x \left(-1+2 x^2-x^4\right)\right)}{1-2 x^2+x^4} \, dx","Integrate[(E^((3 - 3*x - 3*x^2 + 4*x^3 + E^x*(-1 + x^2))/(-1 + x^2))*(-3 + 9*x^2 - 4*x^4 + E^x*(-1 + 2*x^2 - x^4)))/(1 - 2*x^2 + x^4),x]","-e^{\frac{x}{x^2-1}+4 x+e^x-3}","9-e^{\frac{x^2}{x^3-x}+4 x+e^x-3}",1,"-E^(-3 + E^x + 4*x + x/(-1 + x^2))","A",1
9588,1,27,19,0.0055004,"\int \frac{64+8 x^2+10 x^5-2 e x^5+2 x^6}{x^5} \, dx","Integrate[(64 + 8*x^2 + 10*x^5 - 2*E*x^5 + 2*x^6)/x^5,x]","2 \left(-\frac{8}{x^4}+\frac{x^2}{2}-\frac{2}{x^2}-e x+5 x\right)","-\frac{16}{x^4}-\frac{4}{x^2}+(x-e+5)^2",1,"2*(-8/x^4 - 2/x^2 + 5*x - E*x + x^2/2)","A",1
9589,1,29,28,0.0940602,"\int \frac{e^{\frac{45-9 x}{x^2}} (270-27 x)+3 e^5 x^3-6 e^{7-2 x} x^3}{e^5 x^3} \, dx","Integrate[(E^((45 - 9*x)/x^2)*(270 - 27*x) + 3*E^5*x^3 - 6*E^(7 - 2*x)*x^3)/(E^5*x^3),x]","-3 e^{\frac{45}{x^2}-\frac{9}{x}-5}+3 x+3 e^{2-2 x}","3 \left(-e^{\frac{9 (5-x)}{x^2}-5}+x+e^{2-2 x}-4\right)",1,"-3*E^(-5 + 45/x^2 - 9/x) + 3*E^(2 - 2*x) + 3*x","A",1
9590,1,23,23,0.0221801,"\int \frac{e^x (2-x)-14 x^3+e^{5-x} \left(14 x^3-14 x^4\right)}{14 x^3} \, dx","Integrate[(E^x*(2 - x) - 14*x^3 + E^(5 - x)*(14*x^3 - 14*x^4))/(14*x^3),x]","-\frac{e^x}{14 x^2}+e^{5-x} x-x","-\frac{e^x}{14 x^2}+e^{5-x} x-x",1,"-1/14*E^x/x^2 - x + E^(5 - x)*x","A",1
9591,1,53,30,0.1114865,"\int \frac{36-12 x+4 x^3+e^{-2-x} x \left(-24 x^2+20 x^3-4 x^4\right)+\left(-12 x^2+4 x^3\right) \log (-3+x)}{-36 x+9 x^2+x^3+e^{-2-x} x \left(-12 x^3+4 x^4\right)+\left(-12 x^3+4 x^4\right) \log (-3+x)} \, dx","Integrate[(36 - 12*x + 4*x^3 + E^(-2 - x)*x*(-24*x^2 + 20*x^3 - 4*x^4) + (-12*x^2 + 4*x^3)*Log[-3 + x])/(-36*x + 9*x^2 + x^3 + E^(-2 - x)*x*(-12*x^3 + 4*x^4) + (-12*x^3 + 4*x^4)*Log[-3 + x]),x]","4 \left(\frac{1}{4} \log \left(4 x^3+4 e^{x+2} x^2 \log (x-3)+e^{x+2} x+12 e^{x+2}\right)-\frac{x}{4}-\frac{\log (x)}{4}\right)","\log \left(\frac{2 \left(4 \left(x^2 \left(e^{-x-2} x+\log (x-3)\right)+3\right)+x\right)}{x}\right)",1,"4*(-1/4*x - Log[x]/4 + Log[12*E^(2 + x) + E^(2 + x)*x + 4*x^3 + 4*E^(2 + x)*x^2*Log[-3 + x]]/4)","A",1
9592,1,14,20,0.0022656,"\int \frac{-3-\log (3)-e^3 \log (16)}{x^2} \, dx","Integrate[(-3 - Log[3] - E^3*Log[16])/x^2,x]","\frac{3+\log (3)+e^3 \log (16)}{x}","\frac{e^3 \log (16)}{x}+\frac{3+\log (3)}{x}+\log (3)",1,"(3 + Log[3] + E^3*Log[16])/x","A",1
9593,1,13,26,0.0006763,"\int e^4 (-2+4 x) \, dx","Integrate[E^4*(-2 + 4*x),x]","e^4 \left(2 x^2-2 x\right)","\frac{e^4 \left(x-2 x \left(x-x \left(x+\frac{1}{9 x}\right)\right)\right)}{x}",1,"E^4*(-2*x + 2*x^2)","A",1
9594,1,30,23,0.3489762,"\int \frac{e^{e^{x^2}} \left(2-2 e^9+e^3 (-6-20 x)+10 x+e^6 (6+10 x)+e^{x^2} \left(-10 x^3+20 e^3 x^3-10 e^6 x^3\right)+e^{x^2} \left(-2 x^2+6 e^3 x^2-6 e^6 x^2+2 e^9 x^2\right) \log (x)\right)}{-125 x^4+\left(-75 x^3+75 e^3 x^3\right) \log (x)+\left(-15 x^2+30 e^3 x^2-15 e^6 x^2\right) \log ^2(x)+\left(-x+3 e^3 x-3 e^6 x+e^9 x\right) \log ^3(x)} \, dx","Integrate[(E^E^x^2*(2 - 2*E^9 + E^3*(-6 - 20*x) + 10*x + E^6*(6 + 10*x) + E^x^2*(-10*x^3 + 20*E^3*x^3 - 10*E^6*x^3) + E^x^2*(-2*x^2 + 6*E^3*x^2 - 6*E^6*x^2 + 2*E^9*x^2)*Log[x]))/(-125*x^4 + (-75*x^3 + 75*E^3*x^3)*Log[x] + (-15*x^2 + 30*E^3*x^2 - 15*E^6*x^2)*Log[x]^2 + (-x + 3*E^3*x - 3*E^6*x + E^9*x)*Log[x]^3),x]","\frac{\left(e^3-1\right)^2 e^{e^{x^2}}}{\left(5 x-e^3 \log (x)+\log (x)\right)^2}","\frac{e^{e^{x^2}}}{\left(\log (x)-\frac{5 x}{e^3-1}\right)^2}",1,"(E^E^x^2*(-1 + E^3)^2)/(5*x + Log[x] - E^3*Log[x])^2","A",1
9595,1,85,26,0.6403924,"\int \frac{1}{5} e^{-x} \left(e^{\frac{2 e^{-x} x}{5}} \left(5 e^x+2 x-2 x^2\right)+e^{\left(-4+e^5\right)^x} \left(-5 e^x-5 \left(e \left(-4+e^5\right)\right)^x x \log \left(-4+e^5\right)\right)\right) \, dx","Integrate[(E^((2*x)/(5*E^x))*(5*E^x + 2*x - 2*x^2) + E^(-4 + E^5)^x*(-5*E^x - 5*(E*(-4 + E^5))^x*x*Log[-4 + E^5]))/(5*E^x),x]","\frac{1}{5} \left(5 e^{\frac{2 e^{-x} x}{5}} x-\frac{5 \text{Ei}\left(\left(-4+e^5\right)^x\right)}{\log \left(e^5-4\right)}\right)-\log \left(e^5-4\right) \left(\frac{e^{\left(e^5-4\right)^x} x}{\log \left(e^5-4\right)}-\frac{\text{Ei}\left(\left(-4+e^5\right)^x\right)}{\log ^2\left(e^5-4\right)}\right)","\left(e^{\frac{2 e^{-x} x}{5}}-e^{\left(e^5-4\right)^x}\right) x",1,"(5*E^((2*x)/(5*E^x))*x - (5*ExpIntegralEi[(-4 + E^5)^x])/Log[-4 + E^5])/5 - (-(ExpIntegralEi[(-4 + E^5)^x]/Log[-4 + E^5]^2) + (E^(-4 + E^5)^x*x)/Log[-4 + E^5])*Log[-4 + E^5]","C",1
9596,1,22,22,5.250821,"\int \exp \left(e^{-\frac{e^{25+e^x+x} (-4+4 x)}{x}} x-\frac{e^{25+e^x+x} (-4+4 x)}{x}\right) \left(1+\frac{e^{25+e^x+x} \left(-4+4 x-4 x^2+e^x \left(4 x-4 x^2\right)\right)}{x}\right) \, dx","Integrate[E^(x/E^((E^(25 + E^x + x)*(-4 + 4*x))/x) - (E^(25 + E^x + x)*(-4 + 4*x))/x)*(1 + (E^(25 + E^x + x)*(-4 + 4*x - 4*x^2 + E^x*(4*x - 4*x^2)))/x),x]","e^{e^{-\frac{4 e^{x+e^x+25} (x-1)}{x}} x}","e^{e^{-\frac{4 e^{x+e^x+25} (x-1)}{x}} x}",1,"E^(x/E^((4*E^(25 + E^x + x)*(-1 + x))/x))","A",1
9597,1,17,17,0.0312294,"\int e^{-1+e^{4 x} x^2} x^4 \left(8 x^3+e^{4 x} x^2 \left(2 x^3+4 x^4\right)\right) \, dx","Integrate[E^(-1 + E^(4*x)*x^2)*x^4*(8*x^3 + E^(4*x)*x^2*(2*x^3 + 4*x^4)),x]","e^{e^{4 x} x^2-1} x^8","e^{e^{4 x} x^2-1} x^8",1,"E^(-1 + E^(4*x)*x^2)*x^8","A",1
9598,1,29,28,0.0534129,"\int \frac{1+e^2+2 x^2-\log (x)+\left(e^2 (-1-2 x)+2 x^2+x \log (5)+\log (x)\right) \log \left(\frac{-2 x^2+e^2 (1+2 x)-x \log (5)-\log (x)}{x}\right)}{e^2 (-1-2 x)+2 x^2+x \log (5)+\log (x)} \, dx","Integrate[(1 + E^2 + 2*x^2 - Log[x] + (E^2*(-1 - 2*x) + 2*x^2 + x*Log[5] + Log[x])*Log[(-2*x^2 + E^2*(1 + 2*x) - x*Log[5] - Log[x])/x])/(E^2*(-1 - 2*x) + 2*x^2 + x*Log[5] + Log[x]),x]","x \log \left(-\frac{-e^2 (2 x+1)+x (2 x+\log (5))+\log (x)}{x}\right)","x \log \left(-2 x+\frac{e^2-\log (x)}{x}+2 e^2-\log (5)\right)",1,"x*Log[-((-(E^2*(1 + 2*x)) + x*(2*x + Log[5]) + Log[x])/x)]","A",1
9599,1,16,15,0.0250389,"\int \frac{-4 x-20 e^{5 \log ^4(x)} \log ^3(x)}{x} \, dx","Integrate[(-4*x - 20*E^(5*Log[x]^4)*Log[x]^3)/x,x]","-4 \left(x+\frac{1}{4} e^{5 \log ^4(x)}\right)","-4 x-e^{5 \log ^4(x)}-9",1,"-4*(E^(5*Log[x]^4)/4 + x)","A",1
9600,1,16,17,0.0210886,"\int \frac{1+\left(-1+2 x-e^x x\right) \log (x)}{x \log (x)} \, dx","Integrate[(1 + (-1 + 2*x - E^x*x)*Log[x])/(x*Log[x]),x]","2 x-e^x-\log (x)+\log (\log (x))","2 x-e^x-\log (x)+\log (\log (x))-13",1,"-E^x + 2*x - Log[x] + Log[Log[x]]","A",1
9601,1,2,6,0.0001747,"\int \frac{1}{x} \, dx","Integrate[x^(-1),x]","\log (x)","\log \left(\frac{8 x}{7}\right)",1,"Log[x]","A",1
9602,1,59,26,0.3078933,"\int \frac{e^{\frac{e^{21+x}-3 x^2-e^x x^2}{3 x+e^x x}} \left(e^{21+x} \left(18+6 e^x-18 x\right)+54 x^2+36 e^x x^2+6 e^{2 x} x^2\right)+\exp \left(\frac{2 \left(e^{21+x}-3 x^2-e^x x^2\right)}{3 x+e^x x}\right) \left(-18 x^2-12 e^x x^2-2 e^{2 x} x^2+e^{21+x} \left(-6-2 e^x+6 x\right)\right)}{9 x^2+6 e^x x^2+e^{2 x} x^2} \, dx","Integrate[(E^((E^(21 + x) - 3*x^2 - E^x*x^2)/(3*x + E^x*x))*(E^(21 + x)*(18 + 6*E^x - 18*x) + 54*x^2 + 36*E^x*x^2 + 6*E^(2*x)*x^2) + E^((2*(E^(21 + x) - 3*x^2 - E^x*x^2))/(3*x + E^x*x))*(-18*x^2 - 12*E^x*x^2 - 2*E^(2*x)*x^2 + E^(21 + x)*(-6 - 2*E^x + 6*x)))/(9*x^2 + 6*E^x*x^2 + E^(2*x)*x^2),x]","-e^{\frac{e^{21} \left(1-\frac{6}{e^x+3}\right)}{x}-2 x} \left(6 e^{x+\frac{3 e^{21}}{\left(e^x+3\right) x}}-e^{\frac{e^{21}}{x}}\right)","\left(e^{\frac{e^{x+21}}{\left(e^x+3\right) x}-x}-3\right)^2",1,"-(E^((E^21*(1 - 6/(3 + E^x)))/x - 2*x)*(-E^(E^21/x) + 6*E^((3*E^21)/((3 + E^x)*x) + x)))","B",1
9603,1,19,24,0.0175375,"\int \frac{-375+300 x-64 x^2+\left(-125+100 x-20 x^2\right) \log (4)}{25 x^2-20 x^3+4 x^4} \, dx","Integrate[(-375 + 300*x - 64*x^2 + (-125 + 100*x - 20*x^2)*Log[4])/(25*x^2 - 20*x^3 + 4*x^4),x]","\frac{2}{2 x-5}+\frac{5 (3+\log (4))}{x}","\frac{x+\frac{5}{2 x-5}+1+5 (3+\log (4))}{x}-2",1,"2/(-5 + 2*x) + (5*(3 + Log[4]))/x","A",1
9604,1,43,33,0.1706493,"\int \frac{4 x^2-2 e^x x^2+3 x^3+x^4+\left(x^2+x^3\right) \log (9)+\left(-2 x^2-2 x \log (9)+e^x \left(2 x^2+2 x \log (9)\right)\right) \log (x+\log (9))+\log \left(\frac{1}{5} \left(-2+e^x-x\right)\right) \left(-4 x+2 e^x x-2 x^2+\left(4 x+2 x^2+e^x (-2 x-2 \log (9))+(4+2 x) \log (9)\right) \log (x+\log (9))\right)}{-2 x^3-x^4+\left(-2 x^2-x^3\right) \log (9)+e^x \left(x^3+x^2 \log (9)\right)} \, dx","Integrate[(4*x^2 - 2*E^x*x^2 + 3*x^3 + x^4 + (x^2 + x^3)*Log[9] + (-2*x^2 - 2*x*Log[9] + E^x*(2*x^2 + 2*x*Log[9]))*Log[x + Log[9]] + Log[(-2 + E^x - x)/5]*(-4*x + 2*E^x*x - 2*x^2 + (4*x + 2*x^2 + E^x*(-2*x - 2*Log[9]) + (4 + 2*x)*Log[9])*Log[x + Log[9]]))/(-2*x^3 - x^4 + (-2*x^2 - x^3)*Log[9] + E^x*(x^3 + x^2*Log[9])),x]","-x+\log \left(x-e^x+2\right)-2 \log (x+\log (9))+\frac{2 \log \left(\frac{1}{5} \left(-x+e^x-2\right)\right) \log (x+\log (9))}{x}","5-\frac{\left(x-\log \left(\frac{1}{5} \left(-x+e^x-2\right)\right)\right) (x+2 \log (x+\log (9)))}{x}",1,"-x + Log[2 - E^x + x] - 2*Log[x + Log[9]] + (2*Log[(-2 + E^x - x)/5]*Log[x + Log[9]])/x","A",1
9605,1,88,24,0.0417189,"\int \frac{-9 x^3-18 x^4-15 x^5-4 x^6+e^4 \left(27 x^2+36 x^3+25 x^4+6 x^5\right)}{e^{12}-3 e^8 x+3 e^4 x^2-x^3} \, dx","Integrate[(-9*x^3 - 18*x^4 - 15*x^5 - 4*x^6 + E^4*(27*x^2 + 36*x^3 + 25*x^4 + 6*x^5))/(E^12 - 3*E^8*x + 3*E^4*x^2 - x^3),x]","\frac{-27 e^4 x^2+e^{12} \left(-50 x^2+108 x-27\right)+e^{16} \left(-15 x^2+100 x-54\right)+\left(x^3+5 x^2+9 x+9\right) x^3-54 e^8 (x-1) x+10 e^{20} (3 x-5)-15 e^{24}}{\left(e^4-x\right)^2}","\frac{x^3 (x+3) \left(x^2+2 x+3\right)}{\left(x-e^4\right)^2}",1,"(-15*E^24 - 54*E^8*(-1 + x)*x - 27*E^4*x^2 + 10*E^20*(-5 + 3*x) + E^12*(-27 + 108*x - 50*x^2) + E^16*(-54 + 100*x - 15*x^2) + x^3*(9 + 9*x + 5*x^2 + x^3))/(E^4 - x)^2","B",1
9606,1,25,31,0.049881,"\int \frac{-40+40 x+e^{2 x} \left(-16+80 x-40 x^2\right)}{e^{4 x} \left(2-10 x+5 x^2\right)+e^{2 x} \left(-4+20 x-10 x^2\right) \log \left(\frac{1}{5} \left(-2+10 x-5 x^2\right)\right)+\left(2-10 x+5 x^2\right) \log ^2\left(\frac{1}{5} \left(-2+10 x-5 x^2\right)\right)} \, dx","Integrate[(-40 + 40*x + E^(2*x)*(-16 + 80*x - 40*x^2))/(E^(4*x)*(2 - 10*x + 5*x^2) + E^(2*x)*(-4 + 20*x - 10*x^2)*Log[(-2 + 10*x - 5*x^2)/5] + (2 - 10*x + 5*x^2)*Log[(-2 + 10*x - 5*x^2)/5]^2),x]","\frac{4}{e^{2 x}-\log \left(-x^2+2 x-\frac{2}{5}\right)}","\frac{4}{e^{2 x}-\log \left((2-x) x-\frac{2}{5}\right)}+e^4-2+\log (5)",1,"4/(E^(2*x) - Log[-2/5 + 2*x - x^2])","A",1
9607,1,39,30,0.1149267,"\int \frac{-2400 x+1200 x^2+\left(-3750+1875 x+4800 x^2-1800 x^3\right) \log (x)+\left(2400-1200 x+\left(-6000 x+2400 x^2\right) \log (x)\right) \log ((2-x) \log (x))+(1200-600 x) \log (x) \log ^2((2-x) \log (x))}{\left(-5000 x^2+2500 x^3+3200 x^4-1600 x^5-512 x^6+256 x^7\right) \log (x)+\left(-6400 x^3+3200 x^4+2048 x^5-1024 x^6\right) \log (x) \log ((2-x) \log (x))+\left(3200 x^2-1600 x^3-3072 x^4+1536 x^5\right) \log (x) \log ^2((2-x) \log (x))+\left(2048 x^3-1024 x^4\right) \log (x) \log ^3((2-x) \log (x))+\left(-512 x^2+256 x^3\right) \log (x) \log ^4((2-x) \log (x))} \, dx","Integrate[(-2400*x + 1200*x^2 + (-3750 + 1875*x + 4800*x^2 - 1800*x^3)*Log[x] + (2400 - 1200*x + (-6000*x + 2400*x^2)*Log[x])*Log[(2 - x)*Log[x]] + (1200 - 600*x)*Log[x]*Log[(2 - x)*Log[x]]^2)/((-5000*x^2 + 2500*x^3 + 3200*x^4 - 1600*x^5 - 512*x^6 + 256*x^7)*Log[x] + (-6400*x^3 + 3200*x^4 + 2048*x^5 - 1024*x^6)*Log[x]*Log[(2 - x)*Log[x]] + (3200*x^2 - 1600*x^3 - 3072*x^4 + 1536*x^5)*Log[x]*Log[(2 - x)*Log[x]]^2 + (2048*x^3 - 1024*x^4)*Log[x]*Log[(2 - x)*Log[x]]^3 + (-512*x^2 + 256*x^3)*Log[x]*Log[(2 - x)*Log[x]]^4),x]","\frac{75}{4 x \left(8 x^2+8 \log ^2(-((x-2) \log (x)))-16 x \log (-((x-2) \log (x)))-25\right)}","\frac{3}{2 x \left(\frac{16}{25} (x-\log ((2-x) \log (x)))^2-2\right)}",1,"75/(4*x*(-25 + 8*x^2 - 16*x*Log[-((-2 + x)*Log[x])] + 8*Log[-((-2 + x)*Log[x])]^2))","A",1
9608,1,14,16,5.0304461,"\int \frac{4 x^2+e^8 (-3+3 x)}{3 e^8 x^2+4 x^3+\left(3 e^8 x+4 x^2\right) \log \left(\frac{3 e^8+4 x}{x}\right)} \, dx","Integrate[(4*x^2 + E^8*(-3 + 3*x))/(3*E^8*x^2 + 4*x^3 + (3*E^8*x + 4*x^2)*Log[(3*E^8 + 4*x)/x]),x]","\log \left(x+\log \left(\frac{3 e^8}{x}+4\right)\right)","\log \left(12 \left(x+\log \left(\frac{3 e^8}{x}+4\right)\right)\right)",1,"Log[x + Log[4 + (3*E^8)/x]]","A",1
9609,1,29,27,0.2084037,"\int \frac{30-75 x+10 x^2-25 x^3+\left(-55 x-70 x^2+25 x^3\right) \log (x)+\left(-10 x+25 x^2+10 x \log (x)\right) \log \left(5 x^2\right)}{\left(4 x-20 x^2+25 x^3\right) \log ^2(x)} \, dx","Integrate[(30 - 75*x + 10*x^2 - 25*x^3 + (-55*x - 70*x^2 + 25*x^3)*Log[x] + (-10*x + 25*x^2 + 10*x*Log[x])*Log[5*x^2])/((4*x - 20*x^2 + 25*x^3)*Log[x]^2),x]","\frac{5 \left(x^2-x \log \left(5 x^2\right)+3\right)}{(5 x-2) \log (x)}+2","\frac{5 \left(x \left(\log \left(5 x^2\right)-x\right)-3\right)}{(2-5 x) \log (x)}",1,"2 + (5*(3 + x^2 - x*Log[5*x^2]))/((-2 + 5*x)*Log[x])","A",1
9610,1,18,17,0.1016295,"\int \frac{e^5 \left(-12-2 x+2 x^2\right)+e^5 \left(1-3 x+2 x^2\right) \log \left(1-2 x+x^2\right) \log \left(\log \left(1-2 x+x^2\right)\right)}{(-1+x) \log \left(1-2 x+x^2\right)} \, dx","Integrate[(E^5*(-12 - 2*x + 2*x^2) + E^5*(1 - 3*x + 2*x^2)*Log[1 - 2*x + x^2]*Log[Log[1 - 2*x + x^2]])/((-1 + x)*Log[1 - 2*x + x^2]),x]","e^5 ((x-1) x-6) \log \left(\log \left((x-1)^2\right)\right)","e^5 (x-3) (x+2) \log \left(\log \left((x-1)^2\right)\right)",1,"E^5*(-6 + (-1 + x)*x)*Log[Log[(-1 + x)^2]]","A",1
9611,1,60,22,0.0489281,"\int \frac{20 x+\left(50+60 x+16 x^2+\left(25+40 x+16 x^2\right) \log (8)\right) \log \left(\frac{-15-12 x}{10+4 x+(5+4 x) \log (8)}\right)}{50+60 x+16 x^2+\left(25+40 x+16 x^2\right) \log (8)} \, dx","Integrate[(20*x + (50 + 60*x + 16*x^2 + (25 + 40*x + 16*x^2)*Log[8])*Log[(-15 - 12*x)/(10 + 4*x + (5 + 4*x)*Log[8])])/(50 + 60*x + 16*x^2 + (25 + 40*x + 16*x^2)*Log[8]),x]","\frac{1}{4} \left(-5 \log (4 x+5)+(4 x+5) \log \left(-\frac{3 (4 x+5)}{4 x (1+\log (8))+5 (2+\log (8))}\right)+5 \log (4 x (1+\log (8))+5 (2+\log (8)))\right)","x \log \left(\frac{3}{-\frac{5}{4 x+5}-1-\log (8)}\right)",1,"(-5*Log[5 + 4*x] + (5 + 4*x)*Log[(-3*(5 + 4*x))/(4*x*(1 + Log[8]) + 5*(2 + Log[8]))] + 5*Log[4*x*(1 + Log[8]) + 5*(2 + Log[8])])/4","B",1
9612,1,49,27,0.480613,"\int \frac{-10-20 x+\left(-5-10 x-10 x^2\right) \log (3)+e^x \left(-20-10 x+\left(-5-20 x-5 x^2+5 x^3\right) \log (3)\right)}{x^2+2 x^3+x^4+e^{2 x} \left(1+2 x+x^2\right)+e^x \left(2 x+4 x^2+2 x^3\right)} \, dx","Integrate[(-10 - 20*x + (-5 - 10*x - 10*x^2)*Log[3] + E^x*(-20 - 10*x + (-5 - 20*x - 5*x^2 + 5*x^3)*Log[3]))/(x^2 + 2*x^3 + x^4 + E^(2*x)*(1 + 2*x + x^2) + E^x*(2*x + 4*x^2 + 2*x^3)),x]","-\frac{5 \left(x^4 \log (3)-x^3 \log (3)-x^2 (2+\log (9))+x \log (3)+2+\log (3)\right)}{(x-1) (x+1)^2 \left(x+e^x\right)}","\frac{5 \left(\left(-x^2+x+1\right) \log (3)+2\right)}{(x+1) \left(x+e^x\right)}",1,"(-5*(2 + Log[3] + x*Log[3] - x^3*Log[3] + x^4*Log[3] - x^2*(2 + Log[9])))/((-1 + x)*(1 + x)^2*(E^x + x))","A",1
9613,1,13,24,0.0055509,"\int \frac{1+e^x x-4 x \log ^2(5)}{x} \, dx","Integrate[(1 + E^x*x - 4*x*Log[5]^2)/x,x]","e^x-4 x \log ^2(5)+\log (x)","-\frac{4 \left(x^2 \log ^2(5)-2 x\right)}{x}+e^x+\log (x)+6",1,"E^x - 4*x*Log[5]^2 + Log[x]","A",1
9614,1,9,9,0.0019474,"\int \frac{9-27 \log (x)}{40 x^4} \, dx","Integrate[(9 - 27*Log[x])/(40*x^4),x]","\frac{9 \log (x)}{40 x^3}","\frac{9 \log (x)}{40 x^3}",1,"(9*Log[x])/(40*x^3)","A",1
9615,1,37,31,0.8502595,"\int \frac{-4+4 x^2+e^{\frac{1}{2} \left(-12+3 e^{e^x}+6 x\right)} \left(6 x+3 e^{e^x+x} x\right)}{2 e^{\frac{1}{2} \left(-12+3 e^{e^x}+6 x\right)} x+2 x^3-2 x \log \left(\frac{4 x^2}{25}\right)} \, dx","Integrate[(-4 + 4*x^2 + E^((-12 + 3*E^E^x + 6*x)/2)*(6*x + 3*E^(E^x + x)*x))/(2*E^((-12 + 3*E^E^x + 6*x)/2)*x + 2*x^3 - 2*x*Log[(4*x^2)/25]),x]","\log \left(e^6 x^2-e^6 \log \left(\frac{4 x^2}{25}\right)+e^{3 x+\frac{3 e^{e^x}}{2}}\right)","\log \left(x^2-\log \left(\frac{4 x^2}{25}\right)+e^{3 \left(x+\frac{e^{e^x}}{2}-2\right)}\right)",1,"Log[E^((3*E^E^x)/2 + 3*x) + E^6*x^2 - E^6*Log[(4*x^2)/25]]","A",1
9616,1,42,18,0.0133359,"\int \left(-6750000+e^x+10845000 x-7095600 x^2+2436696 x^3-473040 x^4+52056 x^5-3024 x^6+72 x^7\right) \, dx","Integrate[-6750000 + E^x + 10845000*x - 7095600*x^2 + 2436696*x^3 - 473040*x^4 + 52056*x^5 - 3024*x^6 + 72*x^7,x]","9 x^8-432 x^7+8676 x^6-94608 x^5+609174 x^4-2365200 x^3+5422500 x^2-6750000 x+e^x","9 \left((x-5)^2-2 x\right)^4+e^x+3",1,"E^x - 6750000*x + 5422500*x^2 - 2365200*x^3 + 609174*x^4 - 94608*x^5 + 8676*x^6 - 432*x^7 + 9*x^8","B",1
9617,1,30,28,0.2488944,"\int \frac{\left(10+e^x (2-2 x)+e^{x^2} \left(2-4 x^2\right)+8 \log (2)\right) \log \left(\frac{4 x}{5+e^x+e^{x^2}-3 x+4 \log (2)}\right)}{5 x+e^x x+e^{x^2} x-3 x^2+4 x \log (2)} \, dx","Integrate[((10 + E^x*(2 - 2*x) + E^x^2*(2 - 4*x^2) + 8*Log[2])*Log[(4*x)/(5 + E^x + E^x^2 - 3*x + 4*Log[2])])/(5*x + E^x*x + E^x^2*x - 3*x^2 + 4*x*Log[2]),x]","\log ^2\left(\frac{4 x}{e^{x^2}-3 x+e^x+5 \left(1+\frac{4 \log (2)}{5}\right)}\right)","\log ^2\left(\frac{x}{\frac{1}{4} \left(e^{x^2}+x+e^x+5\right)-x+\log (2)}\right)",1,"Log[(4*x)/(E^x + E^x^2 - 3*x + 5*(1 + (4*Log[2])/5))]^2","A",1
9618,1,21,26,0.4364236,"\int \frac{-12-21 x+e^{2 x} \left(-27 x+6 x^2\right)-3 x \log (x)}{32 x+2 e^{4 x} x+16 x^2+2 x^3+e^{2 x} \left(16 x+4 x^2\right)+\left(16 x+4 e^{2 x} x+4 x^2\right) \log (x)+2 x \log ^2(x)} \, dx","Integrate[(-12 - 21*x + E^(2*x)*(-27*x + 6*x^2) - 3*x*Log[x])/(32*x + 2*E^(4*x)*x + 16*x^2 + 2*x^3 + E^(2*x)*(16*x + 4*x^2) + (16*x + 4*E^(2*x)*x + 4*x^2)*Log[x] + 2*x*Log[x]^2),x]","\frac{3 (4-x)}{2 \left(x+e^{2 x}+\log (x)+4\right)}","3 \left(\frac{4-x}{2 \left(x+e^{2 x}+\log (x)+4\right)}+\log (4)\right)",1,"(3*(4 - x))/(2*(4 + E^(2*x) + x + Log[x]))","A",1
9619,1,21,21,0.03614,"\int \frac{-60+e^{-4+x} \left(-3+3 x-x^2\right)}{x^2 \log (\log (4))} \, dx","Integrate[(-60 + E^(-4 + x)*(-3 + 3*x - x^2))/(x^2*Log[Log[4]]),x]","-\frac{e^{x-4} (x-3)-60}{x \log (\log (4))}","\frac{\left(-e^{x-4}-20\right) (x-3)}{x \log (\log (4))}",1,"-((-60 + E^(-4 + x)*(-3 + x))/(x*Log[Log[4]]))","A",1
9620,1,21,27,0.0233285,"\int \frac{-4 e^{4/x}+2 x-x^2-x \log (3)}{x^2} \, dx","Integrate[(-4*E^(4/x) + 2*x - x^2 - x*Log[3])/x^2,x]","-x+e^{4/x}-\log (3) \log (x)+2 \log (x)","-x+e^{4/x}+(2-\log (3)) \log (x)+\log (\log (3))-\log (3)",1,"E^(4/x) - x + 2*Log[x] - Log[3]*Log[x]","A",1
9621,1,32,34,0.0063665,"\int -\frac{2 \log (5-i \pi -\log (5-\log (\log (2))))}{\left(e^5-x\right) \log ^2\left(e^{10}-2 e^5 x+x^2\right)} \, dx","Integrate[(-2*Log[5 - I*Pi - Log[5 - Log[Log[2]]]])/((E^5 - x)*Log[E^10 - 2*E^5*x + x^2]^2),x]","-\frac{\log (5-i \pi -\log (5-\log (\log (2))))}{\log \left(\left(e^5-x\right)^2\right)}","5-\frac{\log (5-i \pi -\log (5-\log (\log (2))))}{\log \left(\left(e^5-x\right)^2\right)}",1,"-(Log[5 - I*Pi - Log[5 - Log[Log[2]]]]/Log[(E^5 - x)^2])","A",1
9622,1,24,28,0.2167553,"\int \frac{e^{1-x} (1-x) x+e^{5-x} \left(1-5 x+e^4 x\right)-e^{5-x} x \log (x)}{e^{1-x} x^2+e^{5-x} \left(5 x-e^4 x\right)+e^{5-x} x \log (x)} \, dx","Integrate[(E^(1 - x)*(1 - x)*x + E^(5 - x)*(1 - 5*x + E^4*x) - E^(5 - x)*x*Log[x])/(E^(1 - x)*x^2 + E^(5 - x)*(5*x - E^4*x) + E^(5 - x)*x*Log[x]),x]","\log \left(-x-e^4 \log (x)+e^8-5 e^4\right)-x","\log \left(e^{1-x} x+e^{5-x} \left(\log (x)-e^4+5\right)\right)",1,"-x + Log[-5*E^4 + E^8 - x - E^4*Log[x]]","A",1
9623,1,19,27,0.0341949,"\int \frac{-10+2 e^4-2 x+\left(5-e^4\right) \log (x)}{\left(-5 x+e^4 x-x^2\right) \log (x)} \, dx","Integrate[(-10 + 2*E^4 - 2*x + (5 - E^4)*Log[x])/((-5*x + E^4*x - x^2)*Log[x]),x]","-\log (x)+\log \left(x-e^4+5\right)+2 \log (\log (x))","\log \left(\frac{4 e^8 \left(x-e^4+5\right) \log ^2(3) \log ^2(x)}{225 x}\right)",1,"-Log[x] + Log[5 - E^4 + x] + 2*Log[Log[x]]","A",1
9624,1,7,13,0.0007168,"\int \frac{-1600+x^3}{x^3} \, dx","Integrate[(-1600 + x^3)/x^3,x]","\frac{800}{x^2}+x","\log \left(e^{\frac{800}{x^2}+x-20}\right)-25",1,"800/x^2 + x","A",1
9625,1,25,27,0.3562123,"\int e^{-9 x-24 x^3-16 x^5} \left(40+e^{9 x+24 x^3+16 x^5} (-3-x)+\left(40+e^{9 x+24 x^3+16 x^5} (-3-2 x)-360 x-2880 x^3-3200 x^5\right) \log (x)\right) \, dx","Integrate[E^(-9*x - 24*x^3 - 16*x^5)*(40 + E^(9*x + 24*x^3 + 16*x^5)*(-3 - x) + (40 + E^(9*x + 24*x^3 + 16*x^5)*(-3 - 2*x) - 360*x - 2880*x^3 - 3200*x^5)*Log[x]),x]","\left(40 e^{-x \left(4 x^2+3\right)^2}-x-3\right) x \log (x)","\left(40 e^{-x \left(4 x^2+3\right)^2} x-x (x+3)\right) \log (x)",1,"(-3 + 40/E^(x*(3 + 4*x^2)^2) - x)*x*Log[x]","A",1
9626,1,32,24,0.1073135,"\int \frac{x^{\frac{5 x^2}{15-8 x+6 x^2+(-8+2 x) \log (4)+\log ^2(4)}} \left(75 x-40 x^2+30 x^3+\left(-40 x+10 x^2\right) \log (4)+5 x \log ^2(4)+\left(150 x-40 x^2+\left(-80 x+10 x^2\right) \log (4)+10 x \log ^2(4)\right) \log (x)\right)}{225-240 x+244 x^2-96 x^3+36 x^4+\left(-240+188 x-128 x^2+24 x^3\right) \log (4)+\left(94-48 x+16 x^2\right) \log ^2(4)+(-16+4 x) \log ^3(4)+\log ^4(4)} \, dx","Integrate[(x^((5*x^2)/(15 - 8*x + 6*x^2 + (-8 + 2*x)*Log[4] + Log[4]^2))*(75*x - 40*x^2 + 30*x^3 + (-40*x + 10*x^2)*Log[4] + 5*x*Log[4]^2 + (150*x - 40*x^2 + (-80*x + 10*x^2)*Log[4] + 10*x*Log[4]^2)*Log[x]))/(225 - 240*x + 244*x^2 - 96*x^3 + 36*x^4 + (-240 + 188*x - 128*x^2 + 24*x^3)*Log[4] + (94 - 48*x + 16*x^2)*Log[4]^2 + (-16 + 4*x)*Log[4]^3 + Log[4]^4),x]","x^{\frac{5 x^2}{6 x^2-8 x+2 x \log (4)+15+\log ^2(4)-8 \log (4)}}","x^{\frac{x}{x+\frac{(x-4+\log (4))^2-1}{5 x}}}",1,"x^((5*x^2)/(15 - 8*x + 6*x^2 - 8*Log[4] + 2*x*Log[4] + Log[4]^2))","A",1
9627,1,21,27,0.0072436,"\int \frac{54-27 x-9 x^2+3 x^3+x^4}{-27 x+3 x^3} \, dx","Integrate[(54 - 27*x - 9*x^2 + 3*x^3 + x^4)/(-27*x + 3*x^3),x]","\frac{x^2}{6}+\log \left(9-x^2\right)+x-2 \log (x)","\frac{x^2}{6}-\log \left(x^2\right)+\log \left(-14 \left(3-\frac{x^2}{3}\right)\right)+x",1,"x + x^2/6 - 2*Log[x] + Log[9 - x^2]","A",1
9628,1,32,23,0.1029353,"\int \frac{3208 x^2-11212 x^3+12006 x^4-5201 x^5+800 x^6+e^x \left(-2406+6015 x-6003 x^2+1200 x^3\right)}{-3200 x^2+4800 x^3-2400 x^4+400 x^5} \, dx","Integrate[(3208*x^2 - 11212*x^3 + 12006*x^4 - 5201*x^5 + 800*x^6 + E^x*(-2406 + 6015*x - 6003*x^2 + 1200*x^3))/(-3200*x^2 + 4800*x^3 - 2400*x^4 + 400*x^5),x]","\frac{(400 x-401) \left((x-2)^2 x^2+3 e^x\right)}{400 (x-2)^2 x}","\left(x-\frac{401}{400}\right) \left(x+\frac{3 e^x}{(2-x)^2 x}\right)",1,"((-401 + 400*x)*(3*E^x + (-2 + x)^2*x^2))/(400*(-2 + x)^2*x)","A",1
9629,1,23,24,0.0217777,"\int \frac{e^{\frac{1}{16} \left(e^9-8 e^5 x+16 e x^2\right)} \left(-2-e^5 x+4 e x^2\right)}{5 x^2} \, dx","Integrate[(E^((E^9 - 8*E^5*x + 16*E*x^2)/16)*(-2 - E^5*x + 4*E*x^2))/(5*x^2),x]","\frac{2 e^{\frac{1}{16} e \left(e^4-4 x\right)^2}}{5 x}","\frac{2 e^{e \left(\frac{e^4}{4}-x\right)^2}}{5 x}",1,"(2*E^((E*(E^4 - 4*x)^2)/16))/(5*x)","A",1
9630,1,19,17,0.0000914,"\int \left(-3-10 x-6 x^2-4 x^3\right) \, dx","Integrate[-3 - 10*x - 6*x^2 - 4*x^3,x]","-x^4-2 x^3-5 x^2-3 x","-\left(x^2+x+2\right)^2+x-e^{17}",1,"-3*x - 5*x^2 - 2*x^3 - x^4","A",1
9631,1,15,29,0.0053514,"\int \frac{-1-x^2-x^3}{x^2+x^3} \, dx","Integrate[(-1 - x^2 - x^3)/(x^2 + x^3),x]","-x+\frac{1}{x}+\log (x)-\log (x+1)","\frac{1-x}{x}-x+\log (x)-\log (2 x+2)-e^4-4",1,"x^(-1) - x + Log[x] - Log[1 + x]","A",1
9632,1,21,23,0.1259049,"\int \frac{-25+25 x+x^2-x^3+\left(-2 x^3+2 x^2 \log (x)\right) \log (x-\log (x))}{-x^2+x \log (x)} \, dx","Integrate[(-25 + 25*x + x^2 - x^3 + (-2*x^3 + 2*x^2*Log[x])*Log[x - Log[x]])/(-x^2 + x*Log[x]),x]","x^2 \log (x-\log (x))-25 \log (x-\log (x))","-((x+(4-x) (x+5)+5) \log (x-\log (x)))-5",1,"-25*Log[x - Log[x]] + x^2*Log[x - Log[x]]","A",1
9633,1,18,18,0.0370849,"\int \frac{\left(2-6 x^3-4 \log (x \log (4))\right) \log \left(\frac{9 x^2+3 x^3-\log (x \log (4))}{x^2}\right)}{-9 x^3-3 x^4+x \log (x \log (4))} \, dx","Integrate[((2 - 6*x^3 - 4*Log[x*Log[4]])*Log[(9*x^2 + 3*x^3 - Log[x*Log[4]])/x^2])/(-9*x^3 - 3*x^4 + x*Log[x*Log[4]]),x]","\log ^2\left(-\frac{\log (x \log (4))}{x^2}+3 x+9\right)","\log ^2\left(-\frac{\log (x \log (4))}{x^2}+3 x+9\right)",1,"Log[9 + 3*x - Log[x*Log[4]]/x^2]^2","A",1
9634,1,15,23,0.0010129,"\int \frac{1}{2} (8-3 x+2 \log (3)) \, dx","Integrate[(8 - 3*x + 2*Log[3])/2,x]","-\frac{3 x^2}{4}+4 x+x \log (3)","x \left(-x+\frac{\left(\frac{x}{2}+\log (3)\right)^2}{x}+4\right)+3",1,"4*x - (3*x^2)/4 + x*Log[3]","A",1
9635,1,27,24,0.2943207,"\int \frac{e^{2 x} \left((-32+32 x) \log ^2(6)-96 \log ^3(6)\right)+e^x \left(\left(-144 x+144 x^2\right) \log (6)+(432-864 x) \log ^2(6)+1296 \log ^3(6)\right)}{-x^3+9 x^2 \log (6)-27 x \log ^2(6)+27 \log ^3(6)} \, dx","Integrate[(E^(2*x)*((-32 + 32*x)*Log[6]^2 - 96*Log[6]^3) + E^x*((-144*x + 144*x^2)*Log[6] + (432 - 864*x)*Log[6]^2 + 1296*Log[6]^3))/(-x^3 + 9*x^2*Log[6] - 27*x*Log[6]^2 + 27*Log[6]^3),x]","-\frac{16 e^x \log (6) \left(9 x+\left(e^x-27\right) \log (6)\right)}{(x-3 \log (6))^2}","5-\left(18-\frac{4 e^x}{3-\frac{x}{\log (6)}}\right)^2",1,"(-16*E^x*Log[6]*(9*x + (-27 + E^x)*Log[6]))/(x - 3*Log[6])^2","A",1
9636,1,15,20,0.0417731,"\int \frac{-4+4 x^2+\left(4-3 x+4 x^2\right) \log \left(\frac{-4+3 x-4 x^2}{2 x}\right)}{4-3 x+4 x^2} \, dx","Integrate[(-4 + 4*x^2 + (4 - 3*x + 4*x^2)*Log[(-4 + 3*x - 4*x^2)/(2*x)])/(4 - 3*x + 4*x^2),x]","x \log \left(-2 x-\frac{2}{x}+\frac{3}{2}\right)","x \log \left(2 \left(-x-\frac{x+4}{4 x}+1\right)\right)",1,"x*Log[3/2 - 2/x - 2*x]","A",1
9637,1,25,23,0.0108446,"\int \frac{-4+e^4 \left(12 x^2+4 x^3\right)}{-4 x+e^4 \left(4 x^3+x^4\right)+12 \log (\log (4))} \, dx","Integrate[(-4 + E^4*(12*x^2 + 4*x^3))/(-4*x + E^4*(4*x^3 + x^4) + 12*Log[Log[4]]),x]","\log \left(e^4 x^4+4 e^4 x^3-4 x+12 \log (\log (4))\right)","\log \left(\frac{1}{4} e^4 (x+4) x^3-x+3 \log (\log (4))\right)",1,"Log[-4*x + 4*E^4*x^3 + E^4*x^4 + 12*Log[Log[4]]]","A",1
9638,1,31,31,0.6825334,"\int \frac{e^{x+x^2} \left(9+24 x+13 x^2+2 x^3\right)+e^{x+x^2} \left(6+14 x+4 x^2\right) \log (5 x)+e^{x+x^2} (1+2 x) \log ^2(5 x)+\exp \left(4+e^{\frac{-13+x+\log (5 x)}{3+x+\log (5 x)}} x+\frac{-13+x+\log (5 x)}{3+x+\log (5 x)}\right) \left(-25-22 x-x^2+(-6-2 x) \log (5 x)-\log ^2(5 x)\right)}{9+6 x+x^2+(6+2 x) \log (5 x)+\log ^2(5 x)} \, dx","Integrate[(E^(x + x^2)*(9 + 24*x + 13*x^2 + 2*x^3) + E^(x + x^2)*(6 + 14*x + 4*x^2)*Log[5*x] + E^(x + x^2)*(1 + 2*x)*Log[5*x]^2 + E^(4 + E^((-13 + x + Log[5*x])/(3 + x + Log[5*x]))*x + (-13 + x + Log[5*x])/(3 + x + Log[5*x]))*(-25 - 22*x - x^2 + (-6 - 2*x)*Log[5*x] - Log[5*x]^2))/(9 + 6*x + x^2 + (6 + 2*x)*Log[5*x] + Log[5*x]^2),x]","e^{x^2+x}-e^{x e^{1-\frac{16}{x+\log (5 x)+3}}+4}","e^{x^2+x}-e^{x e^{1-\frac{16}{x+\log (5 x)+3}}+4}",1,"-E^(4 + E^(1 - 16/(3 + x + Log[5*x]))*x) + E^(x + x^2)","A",1
9639,1,19,21,0.0595662,"\int \frac{1}{5} e^{\frac{1}{5} (5 x+x \log (3))} (-155-75 x+(-16-15 x) \log (3)) \, dx","Integrate[(E^((5*x + x*Log[3])/5)*(-155 - 75*x + (-16 - 15*x)*Log[3]))/5,x]","-\frac{1}{5} 3^{x/5} e^x (75 x+80)","(x-16 (x+1)) e^{x+\frac{1}{5} x \log (3)}+5",1,"-1/5*(3^(x/5)*E^x*(80 + 75*x))","A",1
9640,1,16,18,0.0959912,"\int \frac{(-10-20 x-10 \log (x)) \log (2 \log (4))}{3 x^4+6 x^3 \log (x)+3 x^2 \log ^2(x)} \, dx","Integrate[((-10 - 20*x - 10*Log[x])*Log[2*Log[4]])/(3*x^4 + 6*x^3*Log[x] + 3*x^2*Log[x]^2),x]","\frac{10 \log (\log (16))}{3 x (x+\log (x))}","\frac{10 \log (2 \log (4))}{3 x (x+\log (x))}",1,"(10*Log[Log[16]])/(3*x*(x + Log[x]))","A",1
9641,1,56,30,0.7216813,"\int \frac{14580+24786 x+17010 x^2+5940 x^3+1080 x^4+90 x^5+2 x^6+\exp \left(\frac{2 \left(81 x+107 x^2+54 x^3+12 x^4+x^5+e^{2 x} \left(81 x+108 x^2+54 x^3+12 x^4+x^5\right)\right)}{81+108 x+54 x^2+12 x^3+x^4}\right) \left(12150+19950 x+13600 x^2+4500 x^3+750 x^4+50 x^5+e^{2 x} \left(12150+44550 x+54000 x^2+31500 x^3+9750 x^4+1550 x^5+100 x^6\right)\right)+\exp \left(\frac{81 x+107 x^2+54 x^3+12 x^4+x^5+e^{2 x} \left(81 x+108 x^2+54 x^3+12 x^4+x^5\right)}{81+108 x+54 x^2+12 x^3+x^4}\right) \left(75330+126180 x+88290 x^2+30620 x^3+5550 x^4+460 x^5+10 x^6+e^{2 x} \left(72900+269730 x+332910 x^2+199800 x^3+64800 x^4+11250 x^5+910 x^6+20 x^7\right)\right)}{6075+10125 x+6750 x^2+2250 x^3+375 x^4+25 x^5} \, dx","Integrate[(14580 + 24786*x + 17010*x^2 + 5940*x^3 + 1080*x^4 + 90*x^5 + 2*x^6 + E^((2*(81*x + 107*x^2 + 54*x^3 + 12*x^4 + x^5 + E^(2*x)*(81*x + 108*x^2 + 54*x^3 + 12*x^4 + x^5)))/(81 + 108*x + 54*x^2 + 12*x^3 + x^4))*(12150 + 19950*x + 13600*x^2 + 4500*x^3 + 750*x^4 + 50*x^5 + E^(2*x)*(12150 + 44550*x + 54000*x^2 + 31500*x^3 + 9750*x^4 + 1550*x^5 + 100*x^6)) + E^((81*x + 107*x^2 + 54*x^3 + 12*x^4 + x^5 + E^(2*x)*(81*x + 108*x^2 + 54*x^3 + 12*x^4 + x^5))/(81 + 108*x + 54*x^2 + 12*x^3 + x^4))*(75330 + 126180*x + 88290*x^2 + 30620*x^3 + 5550*x^4 + 460*x^5 + 10*x^6 + E^(2*x)*(72900 + 269730*x + 332910*x^2 + 199800*x^3 + 64800*x^4 + 11250*x^5 + 910*x^6 + 20*x^7)))/(6075 + 10125*x + 6750*x^2 + 2250*x^3 + 375*x^4 + 25*x^5),x]","\frac{1}{25} \left(10 e^{x \left(-\frac{x}{(x+3)^4}+e^{2 x}+1\right)} (x+30)+25 e^{2 x \left(-\frac{x}{(x+3)^4}+e^{2 x}+1\right)}+x (x+60)\right)","\left(e^{-\frac{x^2}{(x+3)^4}+e^{2 x} x+x}+\frac{x}{5}+6\right)^2",1,"(25*E^(2*x*(1 + E^(2*x) - x/(3 + x)^4)) + 10*E^(x*(1 + E^(2*x) - x/(3 + x)^4))*(30 + x) + x*(60 + x))/25","A",1
9642,1,21,25,0.0083305,"\int \frac{270 x^2-225 x^4}{-32+160 x^2-200 x^4+e \left(8-40 x^2+50 x^4\right)} \, dx","Integrate[(270*x^2 - 225*x^4)/(-32 + 160*x^2 - 200*x^4 + E*(8 - 40*x^2 + 50*x^4)),x]","-\frac{45 x^3}{2 (e-4) \left(5 x^2-2\right)}","\frac{9 x^2}{(e-4) \left(\frac{4}{5 x}-2 x\right)}+4",1,"(-45*x^3)/(2*(-4 + E)*(-2 + 5*x^2))","A",1
9643,1,24,22,0.0760217,"\int \frac{-5-x^2+\left(5+3 x^2\right) \log (x)+e^7 (1-2 x) \log ^2(x)}{e^7 \log ^2(x)} \, dx","Integrate[(-5 - x^2 + (5 + 3*x^2)*Log[x] + E^7*(1 - 2*x)*Log[x]^2)/(E^7*Log[x]^2),x]","\frac{x \left(x^2-e^7 (x-1) \log (x)+5\right)}{e^7 \log (x)}","-x^2+\frac{\left(x^2+5\right) x}{e^7 \log (x)}+x+5",1,"(x*(5 + x^2 - E^7*(-1 + x)*Log[x]))/(E^7*Log[x])","A",1
9644,1,18,22,0.087467,"\int \frac{8-8 x+\left(-32 x+432 x^2-512 x^3\right) \log (x)+(8-16 x) \log (x) \log (\log (x))}{\log (x)} \, dx","Integrate[(8 - 8*x + (-32*x + 432*x^2 - 512*x^3)*Log[x] + (8 - 16*x)*Log[x]*Log[Log[x]])/Log[x],x]","-8 (x-1) x (2 x (8 x-1)+\log (\log (x)))","4 x (2 x-2) \left(-16 x^2+2 x-\log (\log (x))\right)",1,"-8*(-1 + x)*x*(2*x*(-1 + 8*x) + Log[Log[x]])","A",1
9645,1,6,8,0.0030492,"\int \frac{1+5^x x \log (5)}{x} \, dx","Integrate[(1 + 5^x*x*Log[5])/x,x]","5^x+\log (x)","5^x+\log (2 x)",1,"5^x + Log[x]","A",1
9646,1,20,27,0.0051213,"\int \frac{-50-2 e^{10}+e^5 (20-60 x)+300 x}{81 x^3} \, dx","Integrate[(-50 - 2*E^10 + E^5*(20 - 60*x) + 300*x)/(81*x^3),x]","\frac{\left(e^5-5\right) \left(60 x+e^5-5\right)}{81 x^2}","\left(\frac{\frac{1}{3} \left(x+\frac{1}{3} \left(e^5-5\right)\right)-x}{x}+4\right)^2",1,"((-5 + E^5)*(-5 + E^5 + 60*x))/(81*x^2)","A",1
9647,1,24,19,0.1777584,"\int \frac{e^{\frac{8 x+5 x^2+e^5 (8+4 x)}{x^2}} \left(e^5 (-16-4 x)-8 x\right)+x^3}{x^3} \, dx","Integrate[(E^((8*x + 5*x^2 + E^5*(8 + 4*x))/x^2)*(E^5*(-16 - 4*x) - 8*x) + x^3)/x^3,x]","e^{\frac{8 e^5}{x^2}+\frac{4 \left(2+e^5\right)}{x}+5}+x","e^{\frac{4 (x+2) \left(x+e^5\right)}{x^2}+1}+x",1,"E^(5 + (8*E^5)/x^2 + (4*(2 + E^5))/x) + x","A",1
9648,1,68,31,0.1730382,"\int \frac{e^{\frac{2 x}{\log (\log (4))}} \left(-2000-1200 x^2-240 x^4-16 x^6+\left(600+240 x^2+24 x^4\right) \log (x)+\left(-60-12 x^2\right) \log ^2(x)+2 \log ^3(x)\right)+\left(-840 x-210 x^3+\left(164 x+20 x^3\right) \log (x)-8 x \log ^2(x)\right) \log (\log (4))+e^{\frac{x}{\log (\log (4))}} \left(-4000-2600 x^2-560 x^4-40 x^6+\left(1200+520 x^2+56 x^4\right) \log (x)+\left(-120-26 x^2\right) \log ^2(x)+4 \log ^3(x)+\left(-420 x-84 x^3+\left(82 x+8 x^3\right) \log (x)-4 x \log ^2(x)\right) \log (\log (4))\right)}{\left(-1000-600 x^2-120 x^4-8 x^6+\left(300+120 x^2+12 x^4\right) \log (x)+\left(-30-6 x^2\right) \log ^2(x)+\log ^3(x)\right) \log (\log (4))} \, dx","Integrate[(E^((2*x)/Log[Log[4]])*(-2000 - 1200*x^2 - 240*x^4 - 16*x^6 + (600 + 240*x^2 + 24*x^4)*Log[x] + (-60 - 12*x^2)*Log[x]^2 + 2*Log[x]^3) + (-840*x - 210*x^3 + (164*x + 20*x^3)*Log[x] - 8*x*Log[x]^2)*Log[Log[4]] + E^(x/Log[Log[4]])*(-4000 - 2600*x^2 - 560*x^4 - 40*x^6 + (1200 + 520*x^2 + 56*x^4)*Log[x] + (-120 - 26*x^2)*Log[x]^2 + 4*Log[x]^3 + (-420*x - 84*x^3 + (82*x + 8*x^3)*Log[x] - 4*x*Log[x]^2)*Log[Log[4]]))/((-1000 - 600*x^2 - 120*x^4 - 8*x^6 + (300 + 120*x^2 + 12*x^4)*Log[x] + (-30 - 6*x^2)*Log[x]^2 + Log[x]^3)*Log[Log[4]]),x]","\frac{2 x^2 \left(e^{\frac{x}{\log (\log (4))}}+2\right)}{2 \left(x^2+5\right)-\log (x)}+\frac{x^4}{\left(\log (x)-2 \left(x^2+5\right)\right)^2}+4 e^{\frac{x}{\log (\log (4))}}+e^{\frac{2 x}{\log (\log (4))}}","\left(\frac{x^2}{2 \left(x^2+5\right)-\log (x)}+e^{\frac{x}{\log (\log (4))}}+2\right)^2",1,"4*E^(x/Log[Log[4]]) + E^((2*x)/Log[Log[4]]) + (2*(2 + E^(x/Log[Log[4]]))*x^2)/(2*(5 + x^2) - Log[x]) + x^4/(-2*(5 + x^2) + Log[x])^2","B",1
9649,1,30,26,1.057047,"\int \frac{\exp \left(\frac{x^2+\left(2+x^2\right) \log ^2\left(x^2\right)+x \log \left(e^{4/5} x\right) \log ^2\left(x^2\right)}{x}\right) \left(x^2+\left(8+4 x^2\right) \log \left(x^2\right)+4 x \log \left(e^{4/5} x\right) \log \left(x^2\right)+\left(-2+x+x^2\right) \log ^2\left(x^2\right)\right)}{x^2} \, dx","Integrate[(E^((x^2 + (2 + x^2)*Log[x^2]^2 + x*Log[E^(4/5)*x]*Log[x^2]^2)/x)*(x^2 + (8 + 4*x^2)*Log[x^2] + 4*x*Log[E^(4/5)*x]*Log[x^2] + (-2 + x + x^2)*Log[x^2]^2))/x^2,x]","e^{\left(x+\frac{2}{x}+\frac{4}{5}\right) \log ^2\left(x^2\right)+x} x^{\log ^2\left(x^2\right)}","e^{\left(x+\frac{2}{x}+\log \left(e^{4/5} x\right)\right) \log ^2\left(x^2\right)+x}",1,"E^(x + (4/5 + 2/x + x)*Log[x^2]^2)*x^Log[x^2]^2","A",1
9650,1,25,26,0.6646412,"\int \frac{e^{-e^x} \left(e^{e^x} \left(-4 x+10 x^3\right)+\left(2-5 x^2\right) \log ^2\left(2-5 x^2\right)+\log (x) \left(-20 x^2 \log \left(2-5 x^2\right)+e^x \left(-2 x+5 x^3\right) \log ^2\left(2-5 x^2\right)\right)\right)}{-2 x+5 x^3} \, dx","Integrate[(E^E^x*(-4*x + 10*x^3) + (2 - 5*x^2)*Log[2 - 5*x^2]^2 + Log[x]*(-20*x^2*Log[2 - 5*x^2] + E^x*(-2*x + 5*x^3)*Log[2 - 5*x^2]^2))/(E^E^x*(-2*x + 5*x^3)),x]","2 x-e^{-e^x} \log (x) \log ^2\left(2-5 x^2\right)","-e^{-e^x} \log (x) \log ^2\left(2-5 x^2\right)+2 x-4",1,"2*x - (Log[x]*Log[2 - 5*x^2]^2)/E^E^x","A",1
9651,1,26,30,0.0447766,"\int \frac{100+100 x+202 x^2+304 x^3+6 x^4+10 x^5+6 x^6+\left(200 x+300 x^2+4 x^3+10 x^4+6 x^5\right) \log (x)+\left(-102 x-2 x^2-6 x^3-8 x^4+\left(-100-6 x^2-8 x^3\right) \log (x)\right) \log \left(\frac{5}{x+\log (x)}\right)+\left(2 x^2+2 x \log (x)\right) \log ^2\left(\frac{5}{x+\log (x)}\right)}{625 x+625 \log (x)} \, dx","Integrate[(100 + 100*x + 202*x^2 + 304*x^3 + 6*x^4 + 10*x^5 + 6*x^6 + (200*x + 300*x^2 + 4*x^3 + 10*x^4 + 6*x^5)*Log[x] + (-102*x - 2*x^2 - 6*x^3 - 8*x^4 + (-100 - 6*x^2 - 8*x^3)*Log[x])*Log[5/(x + Log[x])] + (2*x^2 + 2*x*Log[x])*Log[5/(x + Log[x])]^2)/(625*x + 625*Log[x]),x]","\frac{1}{625} \left(x^3+x^2-x \log \left(\frac{5}{x+\log (x)}\right)+50\right)^2","\left(\frac{1}{25} x^2 \left(x+\frac{x-\log \left(\frac{5}{x+\log (x)}\right)}{x}\right)+2\right)^2",1,"(50 + x^2 + x^3 - x*Log[5/(x + Log[x])])^2/625","A",1
9652,1,20,23,0.0135167,"\int \frac{1}{3} e^{-x^2} \left(e^{x^2} \left(9+9 x^2\right)+8 x \log (4)\right) \, dx","Integrate[(E^x^2*(9 + 9*x^2) + 8*x*Log[4])/(3*E^x^2),x]","x^3-\frac{4}{3} e^{-x^2} \log (4)+3 x","x \left(x^2-\frac{4 e^{-x^2} \log (4)}{3 x}+3\right)",1,"3*x + x^3 - (4*Log[4])/(3*E^x^2)","A",1
9653,1,26,25,0.0172201,"\int \frac{2-2 e^5-2 x+x^3+e^x x^3}{5 x^3} \, dx","Integrate[(2 - 2*E^5 - 2*x + x^3 + E^x*x^3)/(5*x^3),x]","\frac{1}{5} \left(\frac{e^5}{x^2}-\frac{1}{x^2}+x+e^x+\frac{2}{x}\right)","\frac{1}{5} \left(\frac{x^2+2 x+e^5-1}{x^2}+x+e^x+5\right)",1,"(E^x - x^(-2) + E^5/x^2 + 2/x + x)/5","A",1
9654,1,35,37,2.0336806,"\int \frac{36 x^3+24 x^5+4 e^{2 x} x^5+4 x^7+e^x \left(-24 x^4-8 x^6\right)+\exp \left(2 x+2 e^{\frac{-12+5 e^x x-5 x^2}{-3+e^x x-x^2}} x^2\right) \left(18+12 x^2+2 e^{2 x} x^2+2 x^4+e^x \left(-12 x-4 x^3\right)+e^{\frac{-12+5 e^x x-5 x^2}{-3+e^x x-x^2}} \left(36 x+36 x^3+4 e^{2 x} x^3+4 x^5+e^x \left(-30 x^2-6 x^3-8 x^4\right)\right)\right)+\exp \left(x+e^{\frac{-12+5 e^x x-5 x^2}{-3+e^x x-x^2}} x^2\right) \left(-36 x-18 x^2-24 x^3-12 x^4-4 x^5-2 x^6+e^{2 x} \left(-4 x^3-2 x^4\right)+e^x \left(24 x^2+12 x^3+8 x^4+4 x^5\right)+e^{\frac{-12+5 e^x x-5 x^2}{-3+e^x x-x^2}} \left(-36 x^3-36 x^5-4 e^{2 x} x^5-4 x^7+e^x \left(30 x^4+6 x^5+8 x^6\right)\right)\right)}{9+6 x^2+e^{2 x} x^2+x^4+e^x \left(-6 x-2 x^3\right)} \, dx","Integrate[(36*x^3 + 24*x^5 + 4*E^(2*x)*x^5 + 4*x^7 + E^x*(-24*x^4 - 8*x^6) + E^(2*x + 2*E^((-12 + 5*E^x*x - 5*x^2)/(-3 + E^x*x - x^2))*x^2)*(18 + 12*x^2 + 2*E^(2*x)*x^2 + 2*x^4 + E^x*(-12*x - 4*x^3) + E^((-12 + 5*E^x*x - 5*x^2)/(-3 + E^x*x - x^2))*(36*x + 36*x^3 + 4*E^(2*x)*x^3 + 4*x^5 + E^x*(-30*x^2 - 6*x^3 - 8*x^4))) + E^(x + E^((-12 + 5*E^x*x - 5*x^2)/(-3 + E^x*x - x^2))*x^2)*(-36*x - 18*x^2 - 24*x^3 - 12*x^4 - 4*x^5 - 2*x^6 + E^(2*x)*(-4*x^3 - 2*x^4) + E^x*(24*x^2 + 12*x^3 + 8*x^4 + 4*x^5) + E^((-12 + 5*E^x*x - 5*x^2)/(-3 + E^x*x - x^2))*(-36*x^3 - 36*x^5 - 4*E^(2*x)*x^5 - 4*x^7 + E^x*(30*x^4 + 6*x^5 + 8*x^6))))/(9 + 6*x^2 + E^(2*x)*x^2 + x^4 + E^x*(-6*x - 2*x^3)),x]","\left(e^{x \left(e^{5-\frac{3}{x^2-e^x x+3}} x+1\right)}-x^2\right)^2","\left(x^2-e^{e^{\frac{x}{x+\frac{3}{x-e^x}}+4} x^2+x}\right)^2",1,"(E^(x*(1 + E^(5 - 3/(3 - E^x*x + x^2))*x)) - x^2)^2","A",1
9655,1,12,12,0.0029886,"\int \frac{59-10 x}{-6+x} \, dx","Integrate[(59 - 10*x)/(-6 + x),x]","-10 (x-6)-\log (x-6)","-10 x-\log (6-x)",1,"-10*(-6 + x) - Log[-6 + x]","A",1
9656,1,39,14,0.0048294,"\int \frac{-8+e^3 (4-8 x)+32 x^2+(4-8 x) \log \left(x^2\right)}{x} \, dx","Integrate[(-8 + E^3*(4 - 8*x) + 32*x^2 + (4 - 8*x)*Log[x^2])/x,x]","16 x^2+\log ^2\left(x^2\right)-8 x \log \left(x^2\right)-8 e^3 x+16 x+4 e^3 \log (x)-8 \log (x)","\left(\log \left(x^2\right)-4 x+e^3-2\right)^2",1,"16*x - 8*E^3*x + 16*x^2 - 8*Log[x] + 4*E^3*Log[x] - 8*x*Log[x^2] + Log[x^2]^2","B",1
9657,1,21,24,0.0125795,"\int \frac{15+\left(6 x+2 e^2 x\right) \log ^2(15)}{\left(6 x^2+2 e^2 x^2\right) \log ^2(15)} \, dx","Integrate[(15 + (6*x + 2*E^2*x)*Log[15]^2)/((6*x^2 + 2*E^2*x^2)*Log[15]^2),x]","\log (x)-\frac{15}{2 \left(3+e^2\right) x \log ^2(15)}","\frac{5 (x-3)}{2 \left(3+e^2\right) x \log ^2(15)}+\log (x)",1,"-15/(2*(3 + E^2)*x*Log[15]^2) + Log[x]","A",1
9658,1,15,18,0.021123,"\int \frac{e^{2 x} (864+10368 x)+e^{2 x} (72+1728 x) \log (5 x)+72 e^{2 x} x \log ^2(5 x)}{x} \, dx","Integrate[(E^(2*x)*(864 + 10368*x) + E^(2*x)*(72 + 1728*x)*Log[5*x] + 72*E^(2*x)*x*Log[5*x]^2)/x,x]","36 e^{2 x} (\log (5 x)+12)^2","36 \left(e^{2 x} (\log (5 x)+12)^2-3\right)",1,"36*E^(2*x)*(12 + Log[5*x])^2","A",1
9659,1,95,30,0.4776549,"\int \frac{-72 x+144 x^2-108 x^3+10 x^4+15 x^5+\left(-48 x^2-72 x^3\right) \log (x)+\left(-12 x^2+12 x^3-36 x^4\right) \log ^2(x)+\left(-8 x^3-12 x^4\right) \log ^3(x)+\left(-2 x^4-3 x^5\right) \log ^4(x)+\left(72 x+108 x^2-30 x^3-45 x^4+\left(96 x+144 x^2\right) \log (x)+\left(12 x+12 x^2+72 x^3\right) \log ^2(x)+\left(24 x^2+36 x^3\right) \log ^3(x)+\left(6 x^3+9 x^4\right) \log ^4(x)\right) \log (2+3 x)+\left(30 x^2+45 x^3+(-48-72 x) \log (x)+\left(-24 x-36 x^2\right) \log ^2(x)+\left(-24 x-36 x^2\right) \log ^3(x)+\left(-6 x^2-9 x^3\right) \log ^4(x)\right) \log ^2(2+3 x)+\left(-10 x-15 x^2+(8+12 x) \log ^3(x)+\left(2 x+3 x^2\right) \log ^4(x)\right) \log ^3(2+3 x)}{-72 x^2-108 x^3+10 x^4+15 x^5+\left(-24 x^3-36 x^4\right) \log ^2(x)+\left(-2 x^4-3 x^5\right) \log ^4(x)+\left(72 x+108 x^2-30 x^3-45 x^4+\left(48 x^2+72 x^3\right) \log ^2(x)+\left(6 x^3+9 x^4\right) \log ^4(x)\right) \log (2+3 x)+\left(30 x^2+45 x^3+\left(-24 x-36 x^2\right) \log ^2(x)+\left(-6 x^2-9 x^3\right) \log ^4(x)\right) \log ^2(2+3 x)+\left(-10 x-15 x^2+\left(2 x+3 x^2\right) \log ^4(x)\right) \log ^3(2+3 x)} \, dx","Integrate[(-72*x + 144*x^2 - 108*x^3 + 10*x^4 + 15*x^5 + (-48*x^2 - 72*x^3)*Log[x] + (-12*x^2 + 12*x^3 - 36*x^4)*Log[x]^2 + (-8*x^3 - 12*x^4)*Log[x]^3 + (-2*x^4 - 3*x^5)*Log[x]^4 + (72*x + 108*x^2 - 30*x^3 - 45*x^4 + (96*x + 144*x^2)*Log[x] + (12*x + 12*x^2 + 72*x^3)*Log[x]^2 + (24*x^2 + 36*x^3)*Log[x]^3 + (6*x^3 + 9*x^4)*Log[x]^4)*Log[2 + 3*x] + (30*x^2 + 45*x^3 + (-48 - 72*x)*Log[x] + (-24*x - 36*x^2)*Log[x]^2 + (-24*x - 36*x^2)*Log[x]^3 + (-6*x^2 - 9*x^3)*Log[x]^4)*Log[2 + 3*x]^2 + (-10*x - 15*x^2 + (8 + 12*x)*Log[x]^3 + (2*x + 3*x^2)*Log[x]^4)*Log[2 + 3*x]^3)/(-72*x^2 - 108*x^3 + 10*x^4 + 15*x^5 + (-24*x^3 - 36*x^4)*Log[x]^2 + (-2*x^4 - 3*x^5)*Log[x]^4 + (72*x + 108*x^2 - 30*x^3 - 45*x^4 + (48*x^2 + 72*x^3)*Log[x]^2 + (6*x^3 + 9*x^4)*Log[x]^4)*Log[2 + 3*x] + (30*x^2 + 45*x^3 + (-24*x - 36*x^2)*Log[x]^2 + (-6*x^2 - 9*x^3)*Log[x]^4)*Log[2 + 3*x]^2 + (-10*x - 15*x^2 + (2*x + 3*x^2)*Log[x]^4)*Log[2 + 3*x]^3),x]","\log \left(-5 x^2+x^2 \log ^4(x)-2 x \log (3 x+2) \log ^4(x)+12 x \log ^2(x)-12 \log (3 x+2) \log ^2(x)-5 \log ^2(3 x+2)+\log ^2(3 x+2) \log ^4(x)+10 x \log (3 x+2)+36\right)+x-2 \log (x-\log (3 x+2))","x+\log \left(5-\left(\frac{6}{\log (3 x+2)-x}-\log ^2(x)\right)^2\right)",1,"x - 2*Log[x - Log[2 + 3*x]] + Log[36 - 5*x^2 + 12*x*Log[x]^2 + x^2*Log[x]^4 + 10*x*Log[2 + 3*x] - 12*Log[x]^2*Log[2 + 3*x] - 2*x*Log[x]^4*Log[2 + 3*x] - 5*Log[2 + 3*x]^2 + Log[x]^4*Log[2 + 3*x]^2]","B",1
9660,1,21,22,0.0112061,"\int \frac{-8+4 e^{6+2 x} x^2}{3 x^2} \, dx","Integrate[(-8 + 4*E^(6 + 2*x)*x^2)/(3*x^2),x]","\frac{4}{3} \left(\frac{1}{2} e^{2 x+6}+\frac{2}{x}\right)","\frac{2 \left(\left(e^{2 x+6}+6\right) x+4\right)}{3 x}-5",1,"(4*(E^(6 + 2*x)/2 + 2/x))/3","A",1
9661,1,21,22,0.0571565,"\int \frac{\left(x+x^2-x^3\right) \log \left(4+4 x-4 x^2\right)+\log (-1+x) \left(-x+3 x^2-2 x^3+\left(1-2 x^2+x^3\right) \log \left(4+4 x-4 x^2\right)\right)}{\left(1-2 x^2+x^3\right) \log ^2(-1+x) \log ^2\left(4+4 x-4 x^2\right)} \, dx","Integrate[((x + x^2 - x^3)*Log[4 + 4*x - 4*x^2] + Log[-1 + x]*(-x + 3*x^2 - 2*x^3 + (1 - 2*x^2 + x^3)*Log[4 + 4*x - 4*x^2]))/((1 - 2*x^2 + x^3)*Log[-1 + x]^2*Log[4 + 4*x - 4*x^2]^2),x]","\frac{x}{\log (x-1) \log \left(-4 x^2+4 x+4\right)}","\frac{x}{\log (x-1) \log \left(4 \left(x-x^2\right)+4\right)}",1,"x/(Log[-1 + x]*Log[4 + 4*x - 4*x^2])","A",1
9662,1,56,18,0.0515019,"\int \frac{10240000+e^{2+x} \left(-73728000 x-36864000 x^2\right)+e^{4+2 x} \left(12441600 x^3+6220800 x^4\right)+e^{6+3 x} \left(-699840 x^5-349920 x^6\right)+e^{8+4 x} \left(13122 x^7+6561 x^8\right)}{10240000} \, dx","Integrate[(10240000 + E^(2 + x)*(-73728000*x - 36864000*x^2) + E^(4 + 2*x)*(12441600*x^3 + 6220800*x^4) + E^(6 + 3*x)*(-699840*x^5 - 349920*x^6) + E^(8 + 4*x)*(13122*x^7 + 6561*x^8))/10240000,x]","\frac{6561 e^{4 x+8} x^8}{40960000}-\frac{729 e^{3 x+6} x^6}{64000}+\frac{243}{800} e^{2 x+4} x^4-\frac{18}{5} e^{x+2} x^2+x","\left(2-\frac{9}{80} e^{x+2} x^2\right)^4+x",1,"x - (18*E^(2 + x)*x^2)/5 + (243*E^(4 + 2*x)*x^4)/800 - (729*E^(6 + 3*x)*x^6)/64000 + (6561*E^(8 + 4*x)*x^8)/40960000","B",1
9663,1,13,24,0.0049683,"\int \frac{4-24 x^2}{-81-4 x+8 x^3} \, dx","Integrate[(4 - 24*x^2)/(-81 - 4*x + 8*x^3),x]","-\log \left(8 x^3-4 x-81\right)","\log \left(\frac{4}{3-3 \left(-8 x^3-x+5 (x+16)+2\right)}\right)",1,"-Log[-81 - 4*x + 8*x^3]","A",1
9664,1,29,33,0.3020573,"\int \frac{10 x^2 \log ^3(x)+\exp \left(\frac{144+72 x+9 x^2+e^4 x^2 \log ^2(x)}{x^2 \log ^2(x)}\right) \left(1440+720 x+90 x^2+(1440+360 x) \log (x)-10 x^2 \log ^3(x)\right)}{x^5 \log ^3(x)-2 \exp \left(\frac{144+72 x+9 x^2+e^4 x^2 \log ^2(x)}{x^2 \log ^2(x)}\right) x^5 \log ^3(x)+\exp \left(\frac{2 \left(144+72 x+9 x^2+e^4 x^2 \log ^2(x)\right)}{x^2 \log ^2(x)}\right) x^5 \log ^3(x)} \, dx","Integrate[(10*x^2*Log[x]^3 + E^((144 + 72*x + 9*x^2 + E^4*x^2*Log[x]^2)/(x^2*Log[x]^2))*(1440 + 720*x + 90*x^2 + (1440 + 360*x)*Log[x] - 10*x^2*Log[x]^3))/(x^5*Log[x]^3 - 2*E^((144 + 72*x + 9*x^2 + E^4*x^2*Log[x]^2)/(x^2*Log[x]^2))*x^5*Log[x]^3 + E^((2*(144 + 72*x + 9*x^2 + E^4*x^2*Log[x]^2))/(x^2*Log[x]^2))*x^5*Log[x]^3),x]","\frac{5}{x^2 \left(e^{\frac{9 (x+4)^2}{x^2 \log ^2(x)}+e^4}-1\right)}","\frac{5}{x \left(x e^{\frac{9 (x+4)^2}{x^2 \log ^2(x)}+e^4}-x\right)}",1,"5/((-1 + E^(E^4 + (9*(4 + x)^2)/(x^2*Log[x]^2)))*x^2)","A",1
9665,1,20,19,0.053324,"\int \frac{e^{-x} \left(4-36 x+16 x^2+e \left(8 x-4 x^2\right)\right)}{-4+e} \, dx","Integrate[(4 - 36*x + 16*x^2 + E*(8*x - 4*x^2))/((-4 + E)*E^x),x]","\frac{4 e^{-x} x ((e-4) x+1)}{e-4}","4 e^{-x} x \left(x-\frac{1}{4-e}\right)",1,"(4*x*(1 + (-4 + E)*x))/((-4 + E)*E^x)","A",1
9666,1,33,34,0.0905179,"\int \frac{e^x \left(-15 x^2+5 x^3+x^4-x^5\right)+e^{x^2} \left(60 x^2-44 x^4+8 x^6\right)+\left(e^x \left(4 x^3-2 x^4\right)+e^{x^2} \left(-16 x^3+16 x^5\right)\right) \log (\log (3))}{e^{x+x^2} \left(-1000+400 x^2-40 x^4\right)+e^{2 x} \left(125-50 x^2+5 x^4\right)+e^{2 x^2} \left(2000-800 x^2+80 x^4\right)+\left(e^{x+x^2} \left(800 x-160 x^3\right)+e^{2 x} \left(-100 x+20 x^3\right)+e^{2 x^2} \left(-1600 x+320 x^3\right)\right) \log (\log (3))+\left(20 e^{2 x} x^2+320 e^{2 x^2} x^2-160 e^{x+x^2} x^2\right) \log ^2(\log (3))} \, dx","Integrate[(E^x*(-15*x^2 + 5*x^3 + x^4 - x^5) + E^x^2*(60*x^2 - 44*x^4 + 8*x^6) + (E^x*(4*x^3 - 2*x^4) + E^x^2*(-16*x^3 + 16*x^5))*Log[Log[3]])/(E^(x + x^2)*(-1000 + 400*x^2 - 40*x^4) + E^(2*x)*(125 - 50*x^2 + 5*x^4) + E^(2*x^2)*(2000 - 800*x^2 + 80*x^4) + (E^(x + x^2)*(800*x - 160*x^3) + E^(2*x)*(-100*x + 20*x^3) + E^(2*x^2)*(-1600*x + 320*x^3))*Log[Log[3]] + (20*E^(2*x)*x^2 + 320*E^(2*x^2)*x^2 - 160*E^(x + x^2)*x^2)*Log[Log[3]]^2),x]","\frac{x^3}{5 \left(e^x-4 e^{x^2}\right) \left(x^2+2 x \log (\log (3))-5\right)}","\frac{x^2}{5 \left(e^x-4 e^{x^2}\right) \left(x-\frac{5}{x}+2 \log (\log (3))\right)}",1,"x^3/(5*(E^x - 4*E^x^2)*(-5 + x^2 + 2*x*Log[Log[3]]))","A",1
9667,1,24,26,0.3377441,"\int \frac{\exp \left(\frac{16 x-81 x^2-24 e^{\frac{1}{5} (5 x+\log (5))} x^2+9 e^{\frac{2}{5} (5 x+\log (5))} x^3}{16-24 e^{\frac{1}{5} (5 x+\log (5))} x+9 e^{\frac{2}{5} (5 x+\log (5))} x^2}\right) \left(-64+648 x-108 e^{\frac{2}{5} (5 x+\log (5))} x^2+27 e^{\frac{3}{5} (5 x+\log (5))} x^3+e^{\frac{1}{5} (5 x+\log (5))} \left(144 x+486 x^3\right)\right)}{-64+144 e^{\frac{1}{5} (5 x+\log (5))} x-108 e^{\frac{2}{5} (5 x+\log (5))} x^2+27 e^{\frac{3}{5} (5 x+\log (5))} x^3} \, dx","Integrate[(E^((16*x - 81*x^2 - 24*E^((5*x + Log[5])/5)*x^2 + 9*E^((2*(5*x + Log[5]))/5)*x^3)/(16 - 24*E^((5*x + Log[5])/5)*x + 9*E^((2*(5*x + Log[5]))/5)*x^2))*(-64 + 648*x - 108*E^((2*(5*x + Log[5]))/5)*x^2 + 27*E^((3*(5*x + Log[5]))/5)*x^3 + E^((5*x + Log[5])/5)*(144*x + 486*x^3)))/(-64 + 144*E^((5*x + Log[5])/5)*x - 108*E^((2*(5*x + Log[5]))/5)*x^2 + 27*E^((3*(5*x + Log[5]))/5)*x^3),x]","e^{x-\frac{81 x^2}{\left(3 \sqrt[5]{5} e^x x-4\right)^2}}","e^{x-\frac{9}{\left(\frac{4}{3 x}-\sqrt[5]{5} e^x\right)^2}}",1,"E^(x - (81*x^2)/(-4 + 3*5^(1/5)*E^x*x)^2)","A",1
9668,1,24,27,0.0718109,"\int \frac{4 e^{2 e^{2/x}+\frac{2}{x}}+2 x^2+e^{x+x^2} \left(x^2+2 x^3\right)}{x^2} \, dx","Integrate[(4*E^(2*E^(2/x) + 2/x) + 2*x^2 + E^(x + x^2)*(x^2 + 2*x^3))/x^2,x]","e^{x^2+x}+2 x-e^{2 e^{2/x}}","e^{x^2+x}+2 x-e^{2 e^{2/x}}-6+\log (4)",1,"-E^(2*E^(2/x)) + E^(x + x^2) + 2*x","A",1
9669,1,24,24,0.3211136,"\int \frac{e^{5+e^{\frac{3 x}{5+e^2+2 x}}-x} \left(25+e^4 (1-x)-5 x-16 x^2-4 x^3+e^{\frac{3 x}{5+e^2+2 x}} \left(15 x+3 e^2 x\right)+e^2 \left(10-6 x-4 x^2\right)\right)}{25+e^4+20 x+4 x^2+e^2 (10+4 x)} \, dx","Integrate[(E^(5 + E^((3*x)/(5 + E^2 + 2*x)) - x)*(25 + E^4*(1 - x) - 5*x - 16*x^2 - 4*x^3 + E^((3*x)/(5 + E^2 + 2*x))*(15*x + 3*E^2*x) + E^2*(10 - 6*x - 4*x^2)))/(25 + E^4 + 20*x + 4*x^2 + E^2*(10 + 4*x)),x]","e^{-x+e^{\frac{3 x}{2 x+e^2+5}}+5} x","e^{-x+e^{\frac{3 x}{2 x+e^2+5}}+5} x",1,"E^(5 + E^((3*x)/(5 + E^2 + 2*x)) - x)*x","A",1
9670,1,34,30,0.1810018,"\int \frac{1}{4} \left(e^{\frac{1}{4} \left(16-e^{e^x}-4 x\right)} \left(-4-e^{e^x+x}\right)+e^{e+27 x-2 x^2} (-108+16 x)\right) \, dx","Integrate[(E^((16 - E^E^x - 4*x)/4)*(-4 - E^(E^x + x)) + E^(E + 27*x - 2*x^2)*(-108 + 16*x))/4,x]","e^{\frac{1}{4} \left(16-e^{e^x}\right)-x}-e^{-2 x^2+27 x+e}","e^{-x-\frac{e^{e^x}}{4}+4}-e^{(27-2 x) x+e}",1,"E^((16 - E^E^x)/4 - x) - E^(E + 27*x - 2*x^2)","A",1
9671,1,20,20,0.2499733,"\int \frac{2 e \log (2)+(-4 e \log (2)+2 e x \log (2) \log (3)) \log (x)+(e \log (2)-e x \log (2) \log (3)) \log ^2(x)}{4\ 3^x \log ^2(x)-4\ 3^x \log ^3(x)+3^x \log ^4(x)} \, dx","Integrate[(2*E*Log[2] + (-4*E*Log[2] + 2*E*x*Log[2]*Log[3])*Log[x] + (E*Log[2] - E*x*Log[2]*Log[3])*Log[x]^2)/(4*3^x*Log[x]^2 - 4*3^x*Log[x]^3 + 3^x*Log[x]^4),x]","\frac{e 3^{-x} x \log (2)}{(\log (x)-2) \log (x)}","\frac{e 3^{-x} x \log (2)}{(\log (x)-2) \log (x)}",1,"(E*x*Log[2])/(3^x*(-2 + Log[x])*Log[x])","A",1
9672,1,17,36,0.0054302,"\int \frac{75-53 x+148 x^2+6 x^3}{75 x+3 x^2} \, dx","Integrate[(75 - 53*x + 148*x^2 + 6*x^3)/(75*x + 3*x^2),x]","x^2-\frac{2 x}{3}+\log (x)-2 \log (x+25)","\frac{x \left(x^2+\frac{2 (5-x)}{3}\right)-4 x}{x}-\log \left(\frac{(x+25)^2}{x}\right)",1,"(-2*x)/3 + x^2 + Log[x] - 2*Log[25 + x]","A",1
9673,1,19,20,0.0140348,"\int \left(11+24 e^{2 x}+e^x (-48+12 x)\right) \, dx","Integrate[11 + 24*E^(2*x) + E^x*(-48 + 12*x),x]","12 e^x (x-5)+12 e^{2 x}+11 x","12 \left(e^x (x-5)+e^{2 x}+x\right)-x",1,"12*E^(2*x) + 12*E^x*(-5 + x) + 11*x","A",1
9674,1,61,23,0.1775726,"\int \frac{-62208+373392 x^2-1728 x^4+2 x^6+\left(62208-432 x^2\right) \log (x)}{186624 x^2-864 x^4+x^6} \, dx","Integrate[(-62208 + 373392*x^2 - 1728*x^4 + 2*x^6 + (62208 - 432*x^2)*Log[x])/(186624*x^2 - 864*x^4 + x^6),x]","2 \left(\frac{72 \log (x)}{x \left(x^2-432\right)}+\frac{1}{432} \left(432 x+\sqrt{3} \log \left(x+12 \sqrt{3}\right)-\sqrt{3} \log \left(\frac{x}{12 \sqrt{3}}+1\right)\right)\right)","-\frac{\log (x)}{\left(3-\frac{x^2}{144}\right) x}+2 x-6",1,"2*((72*Log[x])/(x*(-432 + x^2)) + (432*x + Sqrt[3]*Log[12*Sqrt[3] + x] - Sqrt[3]*Log[1 + x/(12*Sqrt[3])])/432)","B",1
9675,1,24,26,1.3890273,"\int \frac{1}{36} \exp \left(1+e^{\frac{1}{36} \left(-108-36 e^x+x\right)}+e^{1+e^{\frac{1}{36} \left(-108-36 e^x+x\right)}} x\right) \left(-36+e^{\frac{1}{36} \left(-108-36 e^x+x\right)} \left(-x+36 e^x x\right)\right) \, dx","Integrate[(E^(1 + E^((-108 - 36*E^x + x)/36) + E^(1 + E^((-108 - 36*E^x + x)/36))*x)*(-36 + E^((-108 - 36*E^x + x)/36)*(-x + 36*E^x*x)))/36,x]","-e^{e^{e^{\frac{x}{36}-e^x-3}+1} x}","-e^{e^{e^{\frac{x}{36}-e^x-3}+1} x}-4",1,"-E^(E^(1 + E^(-3 - E^x + x/36))*x)","A",1
9676,1,29,26,0.2874071,"\int \frac{1}{3} e^{-2 x} x^{2 x} \left(96 x+\left(-9 x^2+4 x^3\right) \log (4)+\left(96 x^2+\left(-6 x^3+2 x^4\right) \log (4)\right) \log (x)\right) \, dx","Integrate[(x^(2*x)*(96*x + (-9*x^2 + 4*x^3)*Log[4] + (96*x^2 + (-6*x^3 + 2*x^4)*Log[4])*Log[x]))/(3*E^(2*x)),x]","\frac{1}{3} e^{-2 x} x^{2 x+2} \left(x^2 \log (4)-3 x \log (4)+48\right)","e^{-2 x} x^{2 x+2} \left(\left(\frac{x}{3}-1\right) x \log (4)+16\right)",1,"(x^(2 + 2*x)*(48 - 3*x*Log[4] + x^2*Log[4]))/(3*E^(2*x))","A",1
9677,1,24,19,0.1158947,"\int \frac{8 x^3+4 e x^3+4 x^4+e^2 x^4+e^2 \left(8 x^3+4 e x^3+4 x^4\right) \log \left(e^3 (2+e+x)\right)}{2+e+x} \, dx","Integrate[(8*x^3 + 4*E*x^3 + 4*x^4 + E^2*x^4 + E^2*(8*x^3 + 4*E*x^3 + 4*x^4)*Log[E^3*(2 + E + x)])/(2 + E + x),x]","3 e^2 x^4+x^4+e^2 x^4 \log (x+e+2)","x^4 \left(e^2 \log \left(e^3 (x+e+2)\right)+1\right)",1,"x^4 + 3*E^2*x^4 + E^2*x^4*Log[2 + E + x]","A",1
9678,1,27,24,0.0943616,"\int \frac{-3+e^x x^2+e^{72 \log ^2(3 x)} (-1+144 \log (3 x))}{2 x^2} \, dx","Integrate[(-3 + E^x*x^2 + E^(72*Log[3*x]^2)*(-1 + 144*Log[3*x]))/(2*x^2),x]","\frac{1}{2} \left(e^x+\frac{3}{x}+\frac{e^{72 \log ^2(3 x)}}{x}\right)","\frac{e^x x+e^{72 \log ^2(3 x)}+3}{2 x}",1,"(E^x + 3/x + E^(72*Log[3*x]^2)/x)/2","A",1
9679,1,36,26,0.577817,"\int \frac{20-18 \log (9)+4 \log ^2(9)+e^{4+50 x^2} \log ^2(9)+e^{25 x^2} \left(e^2 \left(-9-50 x^2\right) \log (9)+4 e^2 \log ^2(9)\right)}{25-20 \log (9)+4 \log ^2(9)+e^{4+50 x^2} \log ^2(9)+e^{25 x^2} \left(-10 e^2 \log (9)+4 e^2 \log ^2(9)\right)} \, dx","Integrate[(20 - 18*Log[9] + 4*Log[9]^2 + E^(4 + 50*x^2)*Log[9]^2 + E^(25*x^2)*(E^2*(-9 - 50*x^2)*Log[9] + 4*E^2*Log[9]^2))/(25 - 20*Log[9] + 4*Log[9]^2 + E^(4 + 50*x^2)*Log[9]^2 + E^(25*x^2)*(-10*E^2*Log[9] + 4*E^2*Log[9]^2)),x]","\frac{x \left(e^{25 x^2+2} \log (9)-4+\log (81)\right)}{e^{25 x^2+2} \log (9)-5+\log (81)}","-\frac{x}{\left(-e^{25 x^2+2}-2\right) \log (9)+5}+x+4",1,"(x*(-4 + E^(2 + 25*x^2)*Log[9] + Log[81]))/(-5 + E^(2 + 25*x^2)*Log[9] + Log[81])","A",1
9680,1,20,20,0.383846,"\int \frac{612-657 x+162 x^2+(108-54 x) \log (2-x)}{-578 x^3+697 x^4-276 x^5+36 x^6+\left(-204 x^3+174 x^4-36 x^5\right) \log (2-x)+\left(-18 x^3+9 x^4\right) \log ^2(2-x)} \, dx","Integrate[(612 - 657*x + 162*x^2 + (108 - 54*x)*Log[2 - x])/(-578*x^3 + 697*x^4 - 276*x^5 + 36*x^6 + (-204*x^3 + 174*x^4 - 36*x^5)*Log[2 - x] + (-18*x^3 + 9*x^4)*Log[2 - x]^2),x]","\frac{9}{x^2 (-6 x+3 \log (2-x)+17)}","\frac{3}{x^2 \left(-2 x+\log (2-x)+\frac{17}{3}\right)}",1,"9/(x^2*(17 - 6*x + 3*Log[2 - x]))","A",1
9681,1,59,37,0.1999284,"\int \frac{e^{2 x^2} \left(-96 x^2+24 x^3-24 e^x x^4\right)+e^{4 x^2} \left(-32 x^2+8 x^3-8 e^x x^4\right)+e^{x^2} \left(32 x^2-8 x^3+8 e^x x^4\right)+e^{3 x^2} \left(96 x^2-24 x^3+24 e^x x^4\right)+\left(20-30 x+5 x^2+15 e^x x^2+e^{x^2} \left(-16+24 x-4 x^2-12 e^x x^2\right)+e^{3 x^2} \left(-16+24 x-4 x^2-12 e^x x^2\right)+e^{4 x^2} \left(4-6 x+x^2+3 e^x x^2\right)+e^{2 x^2} \left(24-36 x+6 x^2+18 e^x x^2\right)\right) \log \left(5-4 e^{x^2}+6 e^{2 x^2}-4 e^{3 x^2}+e^{4 x^2}\right)+\left(-5 e^x+4 e^{x+x^2}-6 e^{x+2 x^2}+4 e^{x+3 x^2}-e^{x+4 x^2}\right) \log ^2\left(5-4 e^{x^2}+6 e^{2 x^2}-4 e^{3 x^2}+e^{4 x^2}\right)}{\left(5 e^x-4 e^{x+x^2}+6 e^{x+2 x^2}-4 e^{x+3 x^2}+e^{x+4 x^2}\right) \log ^2\left(5-4 e^{x^2}+6 e^{2 x^2}-4 e^{3 x^2}+e^{4 x^2}\right)} \, dx","Integrate[(E^(2*x^2)*(-96*x^2 + 24*x^3 - 24*E^x*x^4) + E^(4*x^2)*(-32*x^2 + 8*x^3 - 8*E^x*x^4) + E^x^2*(32*x^2 - 8*x^3 + 8*E^x*x^4) + E^(3*x^2)*(96*x^2 - 24*x^3 + 24*E^x*x^4) + (20 - 30*x + 5*x^2 + 15*E^x*x^2 + E^x^2*(-16 + 24*x - 4*x^2 - 12*E^x*x^2) + E^(3*x^2)*(-16 + 24*x - 4*x^2 - 12*E^x*x^2) + E^(4*x^2)*(4 - 6*x + x^2 + 3*E^x*x^2) + E^(2*x^2)*(24 - 36*x + 6*x^2 + 18*E^x*x^2))*Log[5 - 4*E^x^2 + 6*E^(2*x^2) - 4*E^(3*x^2) + E^(4*x^2)] + (-5*E^x + 4*E^(x + x^2) - 6*E^(x + 2*x^2) + 4*E^(x + 3*x^2) - E^(x + 4*x^2))*Log[5 - 4*E^x^2 + 6*E^(2*x^2) - 4*E^(3*x^2) + E^(4*x^2)]^2)/((5*E^x - 4*E^(x + x^2) + 6*E^(x + 2*x^2) - 4*E^(x + 3*x^2) + E^(x + 4*x^2))*Log[5 - 4*E^x^2 + 6*E^(2*x^2) - 4*E^(3*x^2) + E^(4*x^2)]^2),x]","x \left(\frac{e^{-x} \left(e^x x^2-x+4\right)}{\log \left(-4 e^{x^2}+6 e^{2 x^2}-4 e^{3 x^2}+e^{4 x^2}+5\right)}-1\right)","\frac{x \left(x^2+e^{-x} (4-x)\right)}{\log \left(\left(1-e^{x^2}\right)^4+4\right)}-x",1,"x*(-1 + (4 - x + E^x*x^2)/(E^x*Log[5 - 4*E^x^2 + 6*E^(2*x^2) - 4*E^(3*x^2) + E^(4*x^2)]))","A",1
9682,1,4,10,0.0002378,"\int -\frac{1}{x} \, dx","Integrate[-x^(-1),x]","-\log (x)","-\log (x)+13-\log (2)",1,"-Log[x]","A",1
9683,1,24,28,0.2688437,"\int \frac{-11552 x^3-4864 x^3 \log \left(x^2\right)-512 x^3 \log ^2\left(x^2\right)+e^{-\frac{1}{19+4 \log \left(x^2\right)}} \left(-353-152 \log \left(x^2\right)-16 \log ^2\left(x^2\right)\right)}{361 x^2+152 x^2 \log \left(x^2\right)+16 x^2 \log ^2\left(x^2\right)} \, dx","Integrate[(-11552*x^3 - 4864*x^3*Log[x^2] - 512*x^3*Log[x^2]^2 + (-353 - 152*Log[x^2] - 16*Log[x^2]^2)/E^(19 + 4*Log[x^2])^(-1))/(361*x^2 + 152*x^2*Log[x^2] + 16*x^2*Log[x^2]^2),x]","\frac{e^{-\frac{1}{4 \log \left(x^2\right)+19}}}{x}-16 x^2","-16 x^2+\frac{e^{\frac{x}{x-4 x \left(\log \left(x^2\right)+5\right)}}}{x}+2",1,"1/(E^(19 + 4*Log[x^2])^(-1)*x) - 16*x^2","A",1
9684,1,25,27,0.1545695,"\int \frac{e^{\frac{-1+125 x-25 x^2}{25+5 x}} \left(626-250 x-25 x^2\right)+e^x \left(-125-175 x-55 x^2-5 x^3\right)}{125+50 x+5 x^2} \, dx","Integrate[(E^((-1 + 125*x - 25*x^2)/(25 + 5*x))*(626 - 250*x - 25*x^2) + E^x*(-125 - 175*x - 55*x^2 - 5*x^3))/(125 + 50*x + 5*x^2),x]","e^{-5 (x+5)-\frac{1251}{5 (x+5)}+75}-e^x x","e^{\frac{5 (5-x) x-\frac{1}{5}}{x+5}}-e^x x",1,"E^(75 - 1251/(5*(5 + x)) - 5*(5 + x)) - E^x*x","A",1
9685,1,35,29,0.2818005,"\int \frac{e^{-\frac{2}{\log (4-x)}} \left(40 x^2+40 x^3+10 x^4+e^{\frac{8}{2+x}+\frac{2}{\log (4-x)}} (-32+8 x) \log ^2(4-x)+\left(-160 x-120 x^2+10 x^4\right) \log ^2(4-x)\right)}{\left(-16-12 x+x^3\right) \log ^2(4-x)} \, dx","Integrate[(40*x^2 + 40*x^3 + 10*x^4 + E^(8/(2 + x) + 2/Log[4 - x])*(-32 + 8*x)*Log[4 - x]^2 + (-160*x - 120*x^2 + 10*x^4)*Log[4 - x]^2)/(E^(2/Log[4 - x])*(-16 - 12*x + x^3)*Log[4 - x]^2),x]","2 \left(\frac{5}{2} x^2 e^{-\frac{2}{\log (4-x)}}-\frac{1}{2} e^{\frac{8}{x+2}}\right)","5 x^2 e^{-\frac{2}{\log (4-x)}}-e^{\frac{8}{x+2}}",1,"2*(-1/2*E^(8/(2 + x)) + (5*x^2)/(2*E^(2/Log[4 - x])))","A",1
9686,1,33,25,0.0601535,"\int \frac{\exp \left(\frac{-27 x^4+x^5}{-x^4+(-108+4 x) \log (2)}\right) \left(x^8-x^9+\left(11880 x^4-872 x^5+16 x^6\right) \log (2)+\left(11664-864 x+16 x^2\right) \log ^2(2)\right)}{x^8+\left(216 x^4-8 x^5\right) \log (2)+\left(11664-864 x+16 x^2\right) \log ^2(2)} \, dx","Integrate[(E^((-27*x^4 + x^5)/(-x^4 + (-108 + 4*x)*Log[2]))*(x^8 - x^9 + (11880*x^4 - 872*x^5 + 16*x^6)*Log[2] + (11664 - 864*x + 16*x^2)*Log[2]^2))/(x^8 + (216*x^4 - 8*x^5)*Log[2] + (11664 - 864*x + 16*x^2)*Log[2]^2),x]","e^{27-x} x 2^{-\frac{4 (x-27)^2}{x^4-4 x \log (2)+108 \log (2)}}","x e^{\frac{x}{\frac{4 \log (2)}{x^3}+\frac{x}{27-x}}}",1,"(E^(27 - x)*x)/2^((4*(-27 + x)^2)/(x^4 + 108*Log[2] - 4*x*Log[2]))","A",0
9687,1,20,18,0.0895646,"\int \frac{-15 x \log (3)+5 x \log (3) \log (x)+(5+5 x) \log (3) \log (1+x)}{\left(288 x+288 x^2+\left(-192 x-192 x^2\right) \log (x)+\left(32 x+32 x^2\right) \log ^2(x)\right) \log ^2(1+x)} \, dx","Integrate[(-15*x*Log[3] + 5*x*Log[3]*Log[x] + (5 + 5*x)*Log[3]*Log[1 + x])/((288*x + 288*x^2 + (-192*x - 192*x^2)*Log[x] + (32*x + 32*x^2)*Log[x]^2)*Log[1 + x]^2),x]","\frac{5 \log (3)}{32 (3-\log (x)) \log (x+1)}","-\frac{5 \log (3)}{32 (\log (x)-3) \log (x+1)}",1,"(5*Log[3])/(32*(3 - Log[x])*Log[1 + x])","A",1
9688,1,18,15,0.0000828,"\int \left(1-e^3+20 x+75 x^2\right) \, dx","Integrate[1 - E^3 + 20*x + 75*x^2,x]","25 x^3+10 x^2-e^3 x+x","x \left((5 x+1)^2-e^3\right)",1,"x - E^3*x + 10*x^2 + 25*x^3","A",1
9689,1,39,34,0.1943107,"\int \frac{4 x^4+24 x^5-24 x^6+\left(-8 x^3-48 x^4+48 x^5\right) \log (4)+\left(4 x^2+24 x^3-24 x^4\right) \log ^2(4)+e^x \left(-12 x^2-20 x^3+\left(8 x+20 x^2\right) \log (4)\right)+\left(-8 x^4+8 x^5+\left(16 x^3-16 x^4\right) \log (4)+\left(-8 x^2+8 x^3\right) \log ^2(4)+e^x \left(8 x^2-8 x \log (4)\right)\right) \log \left(\frac{e^x-x^2+x^3+\left(x-x^2\right) \log (4)}{-x+\log (4)}\right)}{5 x^3-5 x^4+\left(-10 x^2+10 x^3\right) \log (4)+\left(5 x-5 x^2\right) \log ^2(4)+e^x (-5 x+5 \log (4))} \, dx","Integrate[(4*x^4 + 24*x^5 - 24*x^6 + (-8*x^3 - 48*x^4 + 48*x^5)*Log[4] + (4*x^2 + 24*x^3 - 24*x^4)*Log[4]^2 + E^x*(-12*x^2 - 20*x^3 + (8*x + 20*x^2)*Log[4]) + (-8*x^4 + 8*x^5 + (16*x^3 - 16*x^4)*Log[4] + (-8*x^2 + 8*x^3)*Log[4]^2 + E^x*(8*x^2 - 8*x*Log[4]))*Log[(E^x - x^2 + x^3 + (x - x^2)*Log[4])/(-x + Log[4])])/(5*x^3 - 5*x^4 + (-10*x^2 + 10*x^3)*Log[4] + (5*x - 5*x^2)*Log[4]^2 + E^x*(-5*x + 5*Log[4])),x]","\frac{4}{5} \left(2 x^3+x^2-x^2 \log \left(-x^2+x-\frac{e^x}{x-\log (4)}\right)\right)","\frac{4}{5} x^2 \left(-\log \left(-x^2+x+\frac{e^x}{\log (4)-x}\right)+2 x+1\right)",1,"(4*(x^2 + 2*x^3 - x^2*Log[x - x^2 - E^x/(x - Log[4])]))/5","A",1
9690,1,21,30,0.1657922,"\int \frac{248+398 x+216 x^2+24 x^3+\left(2120+830 x+180 x^2\right) \log (x)+(1350+450 x) \log ^2(x)+375 \log ^3(x)}{216+216 x+72 x^2+8 x^3+\left(540+360 x+60 x^2\right) \log (x)+(450+150 x) \log ^2(x)+125 \log ^3(x)} \, dx","Integrate[(248 + 398*x + 216*x^2 + 24*x^3 + (2120 + 830*x + 180*x^2)*Log[x] + (1350 + 450*x)*Log[x]^2 + 375*Log[x]^3)/(216 + 216*x + 72*x^2 + 8*x^3 + (540 + 360*x + 60*x^2)*Log[x] + (450 + 150*x)*Log[x]^2 + 125*Log[x]^3),x]","3 x-\frac{25 (x-4) x}{(2 x+5 \log (x)+6)^2}","\frac{x^2 \left(\frac{4-x}{\left(\frac{2 (x+3)}{5}+\log (x)\right)^2}+3\right)+x}{x}",1,"3*x - (25*(-4 + x)*x)/(6 + 2*x + 5*Log[x])^2","A",1
9691,1,25,27,0.6737736,"\int \frac{e^{\frac{2 e^{5+2 x^2}-2 e^5 x+x^2}{e^{2 x^2}-x}} \left(-x^2+e^{2 x^2} \left(2 x-4 x^3\right)\right)}{e^{4 x^2}-2 e^{2 x^2} x+x^2} \, dx","Integrate[(E^((2*E^(5 + 2*x^2) - 2*E^5*x + x^2)/(E^(2*x^2) - x))*(-x^2 + E^(2*x^2)*(2*x - 4*x^3)))/(E^(4*x^2) - 2*E^(2*x^2)*x + x^2),x]","e^{\frac{x^2}{e^{2 x^2}-x}+2 e^5}","e^{\frac{x^2}{e^{2 x^2}-x}+2 e^5}-2",1,"E^(2*E^5 + x^2/(E^(2*x^2) - x))","A",1
9692,1,20,20,0.3521041,"\int \frac{1}{64} \exp \left(20+\frac{1}{256} e^{20+4 x+4 x^{12 x}}+4 x+4 x^{12 x}\right) \left(1+x^{12 x} (12+12 \log (x))\right) \, dx","Integrate[(E^(20 + E^(20 + 4*x + 4*x^(12*x))/256 + 4*x + 4*x^(12*x))*(1 + x^(12*x)*(12 + 12*Log[x])))/64,x]","e^{\frac{1}{256} e^{4 x^{12 x}+4 x+20}}","e^{\frac{1}{256} e^{4 x^{12 x}+4 x+20}}",1,"E^(E^(20 + 4*x + 4*x^(12*x))/256)","A",1
9693,1,36,34,0.1753725,"\int \frac{6 x-e^5 x+6 x^2-5 x^3-2 x^4-x \log \left(\frac{1}{x^2}\right)+\left(6+2 x+e^5 (3+x)+(3+x) \log \left(\frac{1}{x^2}\right)\right) \log \left(\frac{3+x}{2}\right)}{3 x^2+x^3} \, dx","Integrate[(6*x - E^5*x + 6*x^2 - 5*x^3 - 2*x^4 - x*Log[x^(-2)] + (6 + 2*x + E^5*(3 + x) + (3 + x)*Log[x^(-2)])*Log[(3 + x)/2])/(3*x^2 + x^3),x]","-x^2-\frac{\left(\log \left(\frac{1}{x^2}\right)+e^5\right) \log \left(\frac{x+3}{2}\right)}{x}+x+2 \log (x)+\log (x+3)","-x^2+\frac{\left(-\log \left(\frac{1}{x^2}\right)+x-e^5\right) \left(x+\log \left(\frac{x+3}{2}\right)\right)}{x}+1",1,"x - x^2 + 2*Log[x] - ((E^5 + Log[x^(-2)])*Log[(3 + x)/2])/x + Log[3 + x]","A",1
9694,1,20,26,0.0026798,"\int \frac{e^{-e^2} \left(-16+81 x^2\right)}{64 x^2} \, dx","Integrate[(-16 + 81*x^2)/(64*E^E^2*x^2),x]","\frac{1}{64} e^{-e^2} \left(81 x+\frac{16}{x}\right)","\frac{1}{4} \left(\frac{e^{-e^2} \left(\frac{9 x}{4}-1\right)^2}{x}+5\right)",1,"(16/x + 81*x)/(64*E^E^2)","A",1
9695,1,49,32,0.7092611,"\int \frac{e^{52+10 x^2+8 \log ^2(x)-2 \log ^4(x)} \left(5 x^2+4 \log (x)-2 \log ^3(x)\right)+e^{26+5 x^2+4 \log ^2(x)-\log ^4(x)} \left(-20 x^2-16 \log (x)+8 \log ^3(x)\right)}{4 x} \, dx","Integrate[(E^(52 + 10*x^2 + 8*Log[x]^2 - 2*Log[x]^4)*(5*x^2 + 4*Log[x] - 2*Log[x]^3) + E^(26 + 5*x^2 + 4*Log[x]^2 - Log[x]^4)*(-20*x^2 - 16*Log[x] + 8*Log[x]^3))/(4*x),x]","\frac{1}{16} e^{-2 \log ^4(x)} \left(e^{10 x^2+8 \log ^2(x)+52}-8 e^{5 x^2+\log ^4(x)+4 \log ^2(x)+26}\right)","\frac{1}{16} \left(4-e^{5 \left(x^2+6\right)-\left(2-\log ^2(x)\right)^2}\right)^2",1,"(E^(52 + 10*x^2 + 8*Log[x]^2) - 8*E^(26 + 5*x^2 + 4*Log[x]^2 + Log[x]^4))/(16*E^(2*Log[x]^4))","A",1
9696,1,46,30,0.7637663,"\int \frac{-4 x-2 x^2+6 x^3-2 x^4+\frac{e^x x^2 \left(2+x+3 x^2-x^3\right)}{1+2 x-x^2-2 x^3+x^4}}{-4 x-4 x^2+4 x^3} \, dx","Integrate[(-4*x - 2*x^2 + 6*x^3 - 2*x^4 + (E^x*x^2*(2 + x + 3*x^2 - x^3))/(1 + 2*x - x^2 - 2*x^3 + x^4))/(-4*x - 4*x^2 + 4*x^3),x]","\frac{1}{4} \left(-x^2+e^x \left(\frac{-x-1}{\left(x^2-x-1\right)^2}-\frac{1}{x^2-x-1}\right)+4 x\right)","\frac{1}{4} \left(-\frac{e^x x^2}{\left(-x^2+x+1\right)^2}-x^2\right)+x",1,"(4*x - x^2 + E^x*((-1 - x)/(-1 - x + x^2)^2 - (-1 - x + x^2)^(-1)))/4","A",1
9697,1,20,20,0.2514137,"\int -\frac{\exp \left(5-\frac{e^5 \left(3 x-\frac{(-15+3 x) \log (3+\log (x))}{e^5}\right)}{\log (3+\log (x))}\right) \left(-3+(9+3 \log (x)) \log (3+\log (x))-\frac{(9+3 \log (x)) \log ^2(3+\log (x))}{e^5}\right)}{(3+\log (x)) \log ^2(3+\log (x))} \, dx","Integrate[-((E^(5 - (E^5*(3*x - ((-15 + 3*x)*Log[3 + Log[x]])/E^5))/Log[3 + Log[x]])*(-3 + (9 + 3*Log[x])*Log[3 + Log[x]] - ((9 + 3*Log[x])*Log[3 + Log[x]]^2)/E^5))/((3 + Log[x])*Log[3 + Log[x]]^2)),x]","e^{3 x-\frac{3 e^5 x}{\log (\log (x)+3)}-15}","e^{3 \left(x-\frac{e^5 x}{\log (\log (x)+3)}-5\right)}",1,"E^(-15 + 3*x - (3*E^5*x)/Log[3 + Log[x]])","A",1
9698,1,13,15,0.0634972,"\int \frac{1024 x+3584 x^2+5376 x^3+4480 x^4+2240 x^5+672 x^6+112 x^7+8 x^8+e^2 \left(1024+3584 x+5376 x^2+4480 x^3+2240 x^4+672 x^5+112 x^6+8 x^7\right)+\left(e^4 \left(3584+10752 x+13440 x^2+8960 x^3+3360 x^4+672 x^5+56 x^6\right)+e^2 \left(3584 x+10752 x^2+13440 x^3+8960 x^4+3360 x^5+672 x^6+56 x^7\right)\right) \log (2 x)+\left(e^6 \left(5376+13440 x+13440 x^2+6720 x^3+1680 x^4+168 x^5\right)+e^4 \left(5376 x+13440 x^2+13440 x^3+6720 x^4+1680 x^5+168 x^6\right)\right) \log ^2(2 x)+\left(e^8 \left(4480+8960 x+6720 x^2+2240 x^3+280 x^4\right)+e^6 \left(4480 x+8960 x^2+6720 x^3+2240 x^4+280 x^5\right)\right) \log ^3(2 x)+\left(e^{10} \left(2240+3360 x+1680 x^2+280 x^3\right)+e^8 \left(2240 x+3360 x^2+1680 x^3+280 x^4\right)\right) \log ^4(2 x)+\left(e^{12} \left(672+672 x+168 x^2\right)+e^{10} \left(672 x+672 x^2+168 x^3\right)\right) \log ^5(2 x)+\left(e^{14} (112+56 x)+e^{12} \left(112 x+56 x^2\right)\right) \log ^6(2 x)+\left(8 e^{16}+8 e^{14} x\right) \log ^7(2 x)}{x} \, dx","Integrate[(1024*x + 3584*x^2 + 5376*x^3 + 4480*x^4 + 2240*x^5 + 672*x^6 + 112*x^7 + 8*x^8 + E^2*(1024 + 3584*x + 5376*x^2 + 4480*x^3 + 2240*x^4 + 672*x^5 + 112*x^6 + 8*x^7) + (E^4*(3584 + 10752*x + 13440*x^2 + 8960*x^3 + 3360*x^4 + 672*x^5 + 56*x^6) + E^2*(3584*x + 10752*x^2 + 13440*x^3 + 8960*x^4 + 3360*x^5 + 672*x^6 + 56*x^7))*Log[2*x] + (E^6*(5376 + 13440*x + 13440*x^2 + 6720*x^3 + 1680*x^4 + 168*x^5) + E^4*(5376*x + 13440*x^2 + 13440*x^3 + 6720*x^4 + 1680*x^5 + 168*x^6))*Log[2*x]^2 + (E^8*(4480 + 8960*x + 6720*x^2 + 2240*x^3 + 280*x^4) + E^6*(4480*x + 8960*x^2 + 6720*x^3 + 2240*x^4 + 280*x^5))*Log[2*x]^3 + (E^10*(2240 + 3360*x + 1680*x^2 + 280*x^3) + E^8*(2240*x + 3360*x^2 + 1680*x^3 + 280*x^4))*Log[2*x]^4 + (E^12*(672 + 672*x + 168*x^2) + E^10*(672*x + 672*x^2 + 168*x^3))*Log[2*x]^5 + (E^14*(112 + 56*x) + E^12*(112*x + 56*x^2))*Log[2*x]^6 + (8*E^16 + 8*E^14*x)*Log[2*x]^7)/x,x]","\left(x+e^2 \log (2 x)+2\right)^8","\left(x+e^2 \log (2 x)+2\right)^8-1",1,"(2 + x + E^2*Log[2*x])^8","A",1
9699,1,77,16,0.3050946,"\int \frac{16-48 \log \left(\frac{-32-7 x}{4+x}\right)+48 \log ^2\left(\frac{-32-7 x}{4+x}\right)-16 \log ^3\left(\frac{-32-7 x}{4+x}\right)}{128+60 x+7 x^2} \, dx","Integrate[(16 - 48*Log[(-32 - 7*x)/(4 + x)] + 48*Log[(-32 - 7*x)/(4 + x)]^2 - 16*Log[(-32 - 7*x)/(4 + x)]^3)/(128 + 60*x + 7*x^2),x]","-16 \left(-\frac{1}{16} \log ^4\left(-\frac{7 x+32}{x+4}\right)+\frac{1}{4} \log ^3\left(-\frac{7 x+32}{x+4}\right)-\frac{3}{8} \log ^2\left(-\frac{7 x+32}{x+4}\right)+\frac{1}{4} \log \left(-\frac{7 x+32}{x+4}\right)\right)","\left(\log \left(\frac{x}{x+4}-8\right)-1\right)^4+261",1,"-16*(Log[-((32 + 7*x)/(4 + x))]/4 - (3*Log[-((32 + 7*x)/(4 + x))]^2)/8 + Log[-((32 + 7*x)/(4 + x))]^3/4 - Log[-((32 + 7*x)/(4 + x))]^4/16)","B",1
9700,1,33,34,0.1086096,"\int \frac{\left(e^3 \left(-4 x^3+4 x^4\right)+e^6 \left(2 x^3-6 x^4+4 x^5\right)\right) \log \left(\frac{-1-2 e^3 x+e^6 \left(x-x^2\right)}{e^6}\right)+\left(-3 x^2+2 x^3+e^3 \left(-6 x^3+4 x^4\right)+e^6 \left(3 x^3-5 x^4+2 x^5\right)\right) \log ^2\left(\frac{-1-2 e^3 x+e^6 \left(x-x^2\right)}{e^6}\right)}{20-40 x+20 x^2+e^3 \left(40 x-80 x^2+40 x^3\right)+e^6 \left(-20 x+60 x^2-60 x^3+20 x^4\right)} \, dx","Integrate[((E^3*(-4*x^3 + 4*x^4) + E^6*(2*x^3 - 6*x^4 + 4*x^5))*Log[(-1 - 2*E^3*x + E^6*(x - x^2))/E^6] + (-3*x^2 + 2*x^3 + E^3*(-6*x^3 + 4*x^4) + E^6*(3*x^3 - 5*x^4 + 2*x^5))*Log[(-1 - 2*E^3*x + E^6*(x - x^2))/E^6]^2)/(20 - 40*x + 20*x^2 + E^3*(40*x - 80*x^2 + 40*x^3) + E^6*(-20*x + 60*x^2 - 60*x^3 + 20*x^4)),x]","\frac{x^3 \log ^2\left(-x^2-\frac{2 x}{e^3}+x-\frac{1}{e^6}\right)}{20 (x-1)}","\frac{1}{4} \left(2-\frac{x^2 \log ^2\left(x-\left(x+\frac{1}{e^3}\right)^2\right)}{\frac{5}{x}-5}\right)",1,"(x^3*Log[-E^(-6) + x - (2*x)/E^3 - x^2]^2)/(20*(-1 + x))","A",1
9701,1,18,19,0.0090521,"\int \frac{1}{4} \left(109+e^{2 x} x^2 (105+70 x)\right) \, dx","Integrate[(109 + E^(2*x)*x^2*(105 + 70*x))/4,x]","\frac{1}{4} \left(35 e^{2 x} x^3+109 x\right)","x \left(\frac{35}{4} \left(e^{2 x} x^2+3\right)+1\right)",1,"(109*x + 35*E^(2*x)*x^3)/4","A",1
9702,1,18,18,0.0342956,"\int \frac{16-4 x+4 x \log \left(\frac{x}{2}\right)}{\left(-4 x+x^2\right) \log \left(\frac{x}{2}\right)} \, dx","Integrate[(16 - 4*x + 4*x*Log[x/2])/((-4*x + x^2)*Log[x/2]),x]","4 \left(\log (4-x)-\log \left(\log \left(\frac{x}{2}\right)\right)\right)","4 \log \left(\frac{484 (4-x)}{\log \left(\frac{x}{2}\right)}\right)",1,"4*(Log[4 - x] - Log[Log[x/2]])","A",1
9703,1,32,28,2.176811,"\int \frac{e^{-\frac{x^2}{1-2 x+x^2}} \left(20-60 x+20 x^2-30 x^3+e^{\frac{x^2}{1-2 x+x^2}} \left(-16+40 x-25 x^2-5 x^3+5 x^4+x^5\right) \log (5)\right)}{\left(-16+40 x-25 x^2-5 x^3+5 x^4+x^5\right) \log (5)} \, dx","Integrate[(20 - 60*x + 20*x^2 - 30*x^3 + E^(x^2/(1 - 2*x + x^2))*(-16 + 40*x - 25*x^2 - 5*x^3 + 5*x^4 + x^5)*Log[5])/(E^(x^2/(1 - 2*x + x^2))*(-16 + 40*x - 25*x^2 - 5*x^3 + 5*x^4 + x^5)*Log[5]),x]","\frac{(x-1) \log (5)-\frac{5 e^{-\frac{x^2}{(x-1)^2}} x}{x+4}}{\log (5)}","x-\frac{5 e^{-\frac{x^2}{(1-x)^2}} x}{(x+4) \log (5)}",1,"((-5*x)/(E^(x^2/(-1 + x)^2)*(4 + x)) + (-1 + x)*Log[5])/Log[5]","A",1
9704,1,24,24,0.0466196,"\int \frac{\left(9+e-x^2-18 x^4+8 x^5-7 x^8\right) (i \pi +\log (3))}{81+e^2-108 x+54 x^2-12 x^3+109 x^4-108 x^5+36 x^6-4 x^7+54 x^8-36 x^9+6 x^{10}+12 x^{12}-4 x^{13}+x^{16}+e \left(18-12 x+2 x^2+12 x^4-4 x^5+2 x^8\right)} \, dx","Integrate[((9 + E - x^2 - 18*x^4 + 8*x^5 - 7*x^8)*(I*Pi + Log[3]))/(81 + E^2 - 108*x + 54*x^2 - 12*x^3 + 109*x^4 - 108*x^5 + 36*x^6 - 4*x^7 + 54*x^8 - 36*x^9 + 6*x^10 + 12*x^12 - 4*x^13 + x^16 + E*(18 - 12*x + 2*x^2 + 12*x^4 - 4*x^5 + 2*x^8)),x]","\frac{x (\log (3)+i \pi )}{\left(x^4-x+3\right)^2+e}","\frac{x (\log (3)+i \pi )}{\left(x^4-x+3\right)^2+e}",1,"(x*(I*Pi + Log[3]))/(E + (3 - x + x^4)^2)","A",1
9705,1,74,29,1.4422283,"\int \frac{2^{-2 x} e^{e^{\frac{2-12 x-2 x^2}{3 x}}} \left(-3 x+e^{\frac{2-12 x-2 x^2}{3 x}} \left(2+2 x^2\right)+6 x^2 \log (2)\right)}{3 x} \, dx","Integrate[(E^E^((2 - 12*x - 2*x^2)/(3*x))*(-3*x + E^((2 - 12*x - 2*x^2)/(3*x))*(2 + 2*x^2) + 6*x^2*Log[2]))/(3*2^(2*x)*x),x]","\frac{1}{3} \int \frac{2^{-2 x} e^{e^{\frac{-2 x^2-12 x+2}{3 x}}} \left(e^{\frac{-2 x^2-12 x+2}{3 x}} \left(2 x^2+2\right)+6 x^2 \log (2)-3 x\right)}{x} \, dx","4-2^{-2 x} e^{e^{\frac{1}{3} \left(\frac{2}{x}-2 x\right)-4}} x",1,"Integrate[(E^E^((2 - 12*x - 2*x^2)/(3*x))*(-3*x + E^((2 - 12*x - 2*x^2)/(3*x))*(2 + 2*x^2) + 6*x^2*Log[2]))/(2^(2*x)*x), x]/3","F",1
9706,1,26,33,0.5127449,"\int \frac{x \log ^2\left(\frac{x}{2}\right)+\exp \left(\frac{(27-9 x) \log (2)+(6+15 \log (2)) \log \left(\frac{x}{2}\right)}{\log (2) \log \left(\frac{x}{2}\right)}\right) \left(-27+9 x-9 x \log \left(\frac{x}{2}\right)\right)}{\exp \left(\frac{(27-9 x) \log (2)+(6+15 \log (2)) \log \left(\frac{x}{2}\right)}{\log (2) \log \left(\frac{x}{2}\right)}\right) x \log ^2\left(\frac{x}{2}\right)+x^2 \log ^2\left(\frac{x}{2}\right)} \, dx","Integrate[(x*Log[x/2]^2 + E^(((27 - 9*x)*Log[2] + (6 + 15*Log[2])*Log[x/2])/(Log[2]*Log[x/2]))*(-27 + 9*x - 9*x*Log[x/2]))/(E^(((27 - 9*x)*Log[2] + (6 + 15*Log[2])*Log[x/2])/(Log[2]*Log[x/2]))*x*Log[x/2]^2 + x^2*Log[x/2]^2),x]","\log \left(x+e^{-\frac{9 (x-3)}{\log \left(\frac{x}{2}\right)}+15+\frac{6}{\log (2)}}\right)","\log \left(\log (4) \left(x+e^{3 \left(\frac{3 (3-x)}{\log \left(\frac{x}{2}\right)}+5+\frac{2}{\log (2)}\right)}\right)\right)",1,"Log[E^(15 + 6/Log[2] - (9*(-3 + x))/Log[x/2]) + x]","A",1
9707,1,23,21,0.145643,"\int \frac{2 x+\left(-3-x+24 x^2+8 x^3\right) \log (3+x)+\left(-6 x^2-2 x^3\right) \log (3+x) \log \left(\frac{4 x}{\log ^2(3+x)}\right)}{\left(-12 x-4 x^2\right) \log (3+x)+\left(3 x+x^2\right) \log (3+x) \log \left(\frac{4 x}{\log ^2(3+x)}\right)} \, dx","Integrate[(2*x + (-3 - x + 24*x^2 + 8*x^3)*Log[3 + x] + (-6*x^2 - 2*x^3)*Log[3 + x]*Log[(4*x)/Log[3 + x]^2])/((-12*x - 4*x^2)*Log[3 + x] + (3*x + x^2)*Log[3 + x]*Log[(4*x)/Log[3 + x]^2]),x]","-x^2-\log \left(4-\log \left(\frac{4 x}{\log ^2(x+3)}\right)\right)","-x^2-\log \left(\log \left(\frac{4 x}{\log ^2(x+3)}\right)-4\right)",1,"-x^2 - Log[4 - Log[(4*x)/Log[3 + x]^2]]","A",1
9708,1,17,18,0.0094367,"\int \frac{e^5 \left(-e^{21}-3 x^2\right) \log (3)}{\left(e^{21} x+x^3\right)^2} \, dx","Integrate[(E^5*(-E^21 - 3*x^2)*Log[3])/(E^21*x + x^3)^2,x]","\frac{e^5 \log (3)}{x^3+e^{21} x}","\frac{e^5 \log (3)}{x \left(x^2+e^{21}\right)}",1,"(E^5*Log[3])/(E^21*x + x^3)","A",1
9709,1,23,28,0.1459333,"\int \frac{-16+e^x \left(-8 x-4 x^2\right)}{40000 x^2-40000 e^3 x^2+10000 e^6 x^2+e^x \left(20000 x^3-20000 e^3 x^3+5000 e^6 x^3\right)+e^{2 x} \left(2500 x^4-2500 e^3 x^4+625 e^6 x^4\right)} \, dx","Integrate[(-16 + E^x*(-8*x - 4*x^2))/(40000*x^2 - 40000*E^3*x^2 + 10000*E^6*x^2 + E^x*(20000*x^3 - 20000*E^3*x^3 + 5000*E^6*x^3) + E^(2*x)*(2500*x^4 - 2500*E^3*x^4 + 625*E^6*x^4)),x]","\frac{4}{625 \left(e^3-2\right)^2 x \left(e^x x+4\right)}","\frac{1}{625 \left(2-e^3\right)^2 x \left(\frac{e^x x}{4}+1\right)}",1,"4/(625*(-2 + E^3)^2*x*(4 + E^x*x))","A",1
9710,-1,0,39,183.381895,"\int \frac{-26244+13122 e^{10}-26244 x+7776 x^2+62208 x^3+174960 x^4+209952 x^5+91854 x^6+e^5 \left(-23328 x-104976 x^2-104976 x^3\right)+e^{4 x} \left(486 x^2+648 x^3\right)+e^{3 x} \left(-3888 x^2-11664 x^3-5832 x^4\right)+\left(-26244 e^5+23328 x+104976 x^2+104976 x^3\right) \log (3)+13122 \log ^2(3)+e^{2 x} \left(11664 x^2+54432 x^3+67068 x^4+17496 x^5+e^5 \left(-5832 x-5832 x^2\right)+\left(5832 x+5832 x^2\right) \log (3)\right)+e^x \left(-15552 x^2-98496 x^3-198288 x^4-139968 x^5-17496 x^6+e^5 \left(23328 x+64152 x^2+17496 x^3\right)+\left(-23328 x-64152 x^2-17496 x^3\right) \log (3)\right)}{26244 x^2+6561 e^{20} x^2+26244 x^3+1377 x^4-33696 x^5-85280 x^6+e^{8 x} x^6-101904 x^7-45108 x^8+35262 x^9+90720 x^{10}+108864 x^{11}+81648 x^{12}+34992 x^{13}+6561 x^{14}+e^{15} \left(-11664 x^3-34992 x^4-26244 x^5\right)+e^{7 x} \left(-16 x^6-24 x^7\right)+e^{10} \left(-26244 x^2-13122 x^3+7776 x^4+46656 x^5+104976 x^6+104976 x^7+39366 x^8\right)+e^5 \left(23328 x^3+81648 x^4+85176 x^5+5508 x^6-77760 x^7-155520 x^8-174960 x^9-104976 x^{10}-26244 x^{11}\right)+\left(-26244 e^{15} x^2-23328 x^3-81648 x^4-85176 x^5-5508 x^6+77760 x^7+155520 x^8+174960 x^9+104976 x^{10}+26244 x^{11}+e^{10} \left(34992 x^3+104976 x^4+78732 x^5\right)+e^5 \left(52488 x^2+26244 x^3-15552 x^4-93312 x^5-209952 x^6-209952 x^7-78732 x^8\right)\right) \log (3)+\left(-26244 x^2+39366 e^{10} x^2-13122 x^3+7776 x^4+46656 x^5+104976 x^6+104976 x^7+39366 x^8+e^5 \left(-34992 x^3-104976 x^4-78732 x^5\right)\right) \log ^2(3)+\left(-26244 e^5 x^2+11664 x^3+34992 x^4+26244 x^5\right) \log ^3(3)+6561 x^2 \log ^4(3)+e^{6 x} \left(-36 e^5 x^5+112 x^6+336 x^7+252 x^8+36 x^5 \log (3)\right)+e^{5 x} \left(-448 x^6-2016 x^7-3024 x^8-1512 x^9+e^5 \left(432 x^5+648 x^6\right)+\left(-432 x^5-648 x^6\right) \log (3)\right)+e^{4 x} \left(-324 x^4+486 e^{10} x^4-162 x^5+1120 x^6+6720 x^7+15120 x^8+15120 x^9+5670 x^{10}+e^5 \left(-2160 x^5-6480 x^6-4860 x^7\right)+\left(-972 e^5 x^4+2160 x^5+6480 x^6+4860 x^7\right) \log (3)+486 x^4 \log ^2(3)\right)+e^{3 x} \left(2592 x^4+5184 x^5+152 x^6-13440 x^7-40320 x^8-60480 x^9-45360 x^{10}-13608 x^{11}+e^{10} \left(-3888 x^4-5832 x^5\right)+e^5 \left(5760 x^5+25920 x^6+38880 x^7+19440 x^8\right)+\left(-5760 x^5-25920 x^6-38880 x^7-19440 x^8+e^5 \left(7776 x^4+11664 x^5\right)\right) \log (3)+\left(-3888 x^4-5832 x^5\right) \log ^2(3)\right)+e^{2 x} \left(-2916 e^{15} x^3-7776 x^4-27216 x^5-27368 x^6+7380 x^7+60480 x^8+120960 x^9+136080 x^{10}+81648 x^{11}+20412 x^{12}+e^{10} \left(11664 x^4+34992 x^5+26244 x^6\right)+e^5 \left(5832 x^3+2916 x^4-8640 x^5-51840 x^6-116640 x^7-116640 x^8-43740 x^9\right)+\left(-5832 x^3+8748 e^{10} x^3-2916 x^4+8640 x^5+51840 x^6+116640 x^7+116640 x^8+43740 x^9+e^5 \left(-23328 x^4-69984 x^5-52488 x^6\right)\right) \log (3)+\left(-8748 e^5 x^3+11664 x^4+34992 x^5+26244 x^6\right) \log ^2(3)+2916 x^3 \log ^3(3)\right)+e^x \left(10368 x^4+51840 x^5+92288 x^6+59232 x^7-30888 x^8-120960 x^9-181440 x^{10}-163296 x^{11}-81648 x^{12}-17496 x^{13}+e^{15} \left(11664 x^3+17496 x^4\right)+e^{10} \left(-15552 x^4-69984 x^5-104976 x^6-52488 x^7\right)+e^5 \left(-23328 x^3-46656 x^4-10584 x^5+51840 x^6+155520 x^7+233280 x^8+174960 x^9+52488 x^{10}\right)+\left(23328 x^3+46656 x^4+10584 x^5-51840 x^6-155520 x^7-233280 x^8-174960 x^9-52488 x^{10}+e^{10} \left(-34992 x^3-52488 x^4\right)+e^5 \left(31104 x^4+139968 x^5+209952 x^6+104976 x^7\right)\right) \log (3)+\left(-15552 x^4-69984 x^5-104976 x^6-52488 x^7+e^5 \left(34992 x^3+52488 x^4\right)\right) \log ^2(3)+\left(-11664 x^3-17496 x^4\right) \log ^3(3)\right)} \, dx","Integrate[(-26244 + 13122*E^10 - 26244*x + 7776*x^2 + 62208*x^3 + 174960*x^4 + 209952*x^5 + 91854*x^6 + E^5*(-23328*x - 104976*x^2 - 104976*x^3) + E^(4*x)*(486*x^2 + 648*x^3) + E^(3*x)*(-3888*x^2 - 11664*x^3 - 5832*x^4) + (-26244*E^5 + 23328*x + 104976*x^2 + 104976*x^3)*Log[3] + 13122*Log[3]^2 + E^(2*x)*(11664*x^2 + 54432*x^3 + 67068*x^4 + 17496*x^5 + E^5*(-5832*x - 5832*x^2) + (5832*x + 5832*x^2)*Log[3]) + E^x*(-15552*x^2 - 98496*x^3 - 198288*x^4 - 139968*x^5 - 17496*x^6 + E^5*(23328*x + 64152*x^2 + 17496*x^3) + (-23328*x - 64152*x^2 - 17496*x^3)*Log[3]))/(26244*x^2 + 6561*E^20*x^2 + 26244*x^3 + 1377*x^4 - 33696*x^5 - 85280*x^6 + E^(8*x)*x^6 - 101904*x^7 - 45108*x^8 + 35262*x^9 + 90720*x^10 + 108864*x^11 + 81648*x^12 + 34992*x^13 + 6561*x^14 + E^15*(-11664*x^3 - 34992*x^4 - 26244*x^5) + E^(7*x)*(-16*x^6 - 24*x^7) + E^10*(-26244*x^2 - 13122*x^3 + 7776*x^4 + 46656*x^5 + 104976*x^6 + 104976*x^7 + 39366*x^8) + E^5*(23328*x^3 + 81648*x^4 + 85176*x^5 + 5508*x^6 - 77760*x^7 - 155520*x^8 - 174960*x^9 - 104976*x^10 - 26244*x^11) + (-26244*E^15*x^2 - 23328*x^3 - 81648*x^4 - 85176*x^5 - 5508*x^6 + 77760*x^7 + 155520*x^8 + 174960*x^9 + 104976*x^10 + 26244*x^11 + E^10*(34992*x^3 + 104976*x^4 + 78732*x^5) + E^5*(52488*x^2 + 26244*x^3 - 15552*x^4 - 93312*x^5 - 209952*x^6 - 209952*x^7 - 78732*x^8))*Log[3] + (-26244*x^2 + 39366*E^10*x^2 - 13122*x^3 + 7776*x^4 + 46656*x^5 + 104976*x^6 + 104976*x^7 + 39366*x^8 + E^5*(-34992*x^3 - 104976*x^4 - 78732*x^5))*Log[3]^2 + (-26244*E^5*x^2 + 11664*x^3 + 34992*x^4 + 26244*x^5)*Log[3]^3 + 6561*x^2*Log[3]^4 + E^(6*x)*(-36*E^5*x^5 + 112*x^6 + 336*x^7 + 252*x^8 + 36*x^5*Log[3]) + E^(5*x)*(-448*x^6 - 2016*x^7 - 3024*x^8 - 1512*x^9 + E^5*(432*x^5 + 648*x^6) + (-432*x^5 - 648*x^6)*Log[3]) + E^(4*x)*(-324*x^4 + 486*E^10*x^4 - 162*x^5 + 1120*x^6 + 6720*x^7 + 15120*x^8 + 15120*x^9 + 5670*x^10 + E^5*(-2160*x^5 - 6480*x^6 - 4860*x^7) + (-972*E^5*x^4 + 2160*x^5 + 6480*x^6 + 4860*x^7)*Log[3] + 486*x^4*Log[3]^2) + E^(3*x)*(2592*x^4 + 5184*x^5 + 152*x^6 - 13440*x^7 - 40320*x^8 - 60480*x^9 - 45360*x^10 - 13608*x^11 + E^10*(-3888*x^4 - 5832*x^5) + E^5*(5760*x^5 + 25920*x^6 + 38880*x^7 + 19440*x^8) + (-5760*x^5 - 25920*x^6 - 38880*x^7 - 19440*x^8 + E^5*(7776*x^4 + 11664*x^5))*Log[3] + (-3888*x^4 - 5832*x^5)*Log[3]^2) + E^(2*x)*(-2916*E^15*x^3 - 7776*x^4 - 27216*x^5 - 27368*x^6 + 7380*x^7 + 60480*x^8 + 120960*x^9 + 136080*x^10 + 81648*x^11 + 20412*x^12 + E^10*(11664*x^4 + 34992*x^5 + 26244*x^6) + E^5*(5832*x^3 + 2916*x^4 - 8640*x^5 - 51840*x^6 - 116640*x^7 - 116640*x^8 - 43740*x^9) + (-5832*x^3 + 8748*E^10*x^3 - 2916*x^4 + 8640*x^5 + 51840*x^6 + 116640*x^7 + 116640*x^8 + 43740*x^9 + E^5*(-23328*x^4 - 69984*x^5 - 52488*x^6))*Log[3] + (-8748*E^5*x^3 + 11664*x^4 + 34992*x^5 + 26244*x^6)*Log[3]^2 + 2916*x^3*Log[3]^3) + E^x*(10368*x^4 + 51840*x^5 + 92288*x^6 + 59232*x^7 - 30888*x^8 - 120960*x^9 - 181440*x^10 - 163296*x^11 - 81648*x^12 - 17496*x^13 + E^15*(11664*x^3 + 17496*x^4) + E^10*(-15552*x^4 - 69984*x^5 - 104976*x^6 - 52488*x^7) + E^5*(-23328*x^3 - 46656*x^4 - 10584*x^5 + 51840*x^6 + 155520*x^7 + 233280*x^8 + 174960*x^9 + 52488*x^10) + (23328*x^3 + 46656*x^4 + 10584*x^5 - 51840*x^6 - 155520*x^7 - 233280*x^8 - 174960*x^9 - 52488*x^10 + E^10*(-34992*x^3 - 52488*x^4) + E^5*(31104*x^4 + 139968*x^5 + 209952*x^6 + 104976*x^7))*Log[3] + (-15552*x^4 - 69984*x^5 - 104976*x^6 - 52488*x^7 + E^5*(34992*x^3 + 52488*x^4))*Log[3]^2 + (-11664*x^3 - 17496*x^4)*Log[3]^3)),x]","\text{\$Aborted}","\frac{2}{x \left(x-\left(x \left(\frac{1}{3} \left(e^x-2\right)-x\right)^2-e^5+\log (3)\right)^2+2\right)}",1,"$Aborted","F",-1
9711,1,32,23,0.0201744,"\int \frac{36-168 x-245 x^2-82 x^3-54 x^4+4 x^5}{36 x-87 x^2-77 x^3-17 x^4-10 x^5+x^6} \, dx","Integrate[(36 - 168*x - 245*x^2 - 82*x^3 - 54*x^4 + 4*x^5)/(36*x - 87*x^2 - 77*x^3 - 17*x^4 - 10*x^5 + x^6),x]","\log \left(-x^4-2 x^3-7 x^2-7 x+3\right)-\log (12-x)+\log (x)","\log \left(16 x \left(\frac{3 \left(x^2+x+3\right)^2}{12-x}-3\right)\right)",1,"-Log[12 - x] + Log[x] + Log[3 - 7*x - 7*x^2 - 2*x^3 - x^4]","A",1
9712,1,24,23,0.4146615,"\int \frac{-60+16 x-601 x^2+140 x^3-10 x^4-4 x \log (x)}{5000 x^5-1000 x^6+50 x^7+\left(2000 x^3-400 x^4+20 x^5\right) \log (x)+\left(200 x-40 x^2+2 x^3\right) \log ^2(x)} \, dx","Integrate[(-60 + 16*x - 601*x^2 + 140*x^3 - 10*x^4 - 4*x*Log[x])/(5000*x^5 - 1000*x^6 + 50*x^7 + (2000*x^3 - 400*x^4 + 20*x^5)*Log[x] + (200*x - 40*x^2 + 2*x^3)*Log[x]^2),x]","-\frac{6-x}{2 (x-10) \left(5 x^2+\log (x)\right)}","\frac{\frac{x}{2}-3}{(x-10) \left(5 x^2+\log (x)\right)}",1,"-1/2*(6 - x)/((-10 + x)*(5*x^2 + Log[x]))","A",1
9713,1,35,33,0.2137737,"\int \frac{42+144 x+108 x^2+3\ 2^{2+\frac{4 x}{3}} \left(\frac{1}{x^2}\right)^{2 x/3} x^4+2^{2 x/3} \left(\frac{1}{x^2}\right)^{x/3} \left(51 x^2+70 x^3+x^3 \log \left(\frac{4}{x^2}\right)\right)}{48+144 x+108 x^2+3\ 2^{2+\frac{4 x}{3}} \left(\frac{1}{x^2}\right)^{2 x/3} x^4+2^{2 x/3} \left(\frac{1}{x^2}\right)^{x/3} \left(48 x^2+72 x^3\right)} \, dx","Integrate[(42 + 144*x + 108*x^2 + 3*2^(2 + (4*x)/3)*(x^(-2))^((2*x)/3)*x^4 + 2^((2*x)/3)*(x^(-2))^(x/3)*(51*x^2 + 70*x^3 + x^3*Log[4/x^2]))/(48 + 144*x + 108*x^2 + 3*2^(2 + (4*x)/3)*(x^(-2))^((2*x)/3)*x^4 + 2^((2*x)/3)*(x^(-2))^(x/3)*(48*x^2 + 72*x^3)),x]","\frac{1}{4} x \left(4-\frac{1}{2^{2 x/3} \left(\frac{1}{x^2}\right)^{\frac{x}{3}-1}+3 x+2}\right)","x-\frac{x}{4 \left(2^{2 x/3} \left(\frac{1}{x^2}\right)^{\frac{x}{3}-1}+3 x+2\right)}",1,"(x*(4 - (2 + 2^((2*x)/3)*(x^(-2))^(-1 + x/3) + 3*x)^(-1)))/4","A",1
9714,1,7,7,0.0000698,"\int 225 \log ^2(4) \, dx","Integrate[225*Log[4]^2,x]","225 x \log ^2(4)","225 x \log ^2(4)",1,"225*x*Log[4]^2","A",1
9715,1,23,21,0.0065569,"\int \frac{-400 \log (3)-4 \log (2) \log ^2(3)}{16 x^2 \log (2)-8 x \log (2) \log (3)+\log (2) \log ^2(3)} \, dx","Integrate[(-400*Log[3] - 4*Log[2]*Log[3]^2)/(16*x^2*Log[2] - 8*x*Log[2]*Log[3] + Log[2]*Log[3]^2),x]","-\frac{\log (3) (100+\log (2) \log (3))}{\log (2) (\log (3)-4 x)}","\frac{x+\frac{25}{\log (2)}}{\frac{x}{\log (3)}-\frac{1}{4}}",1,"-((Log[3]*(100 + Log[2]*Log[3]))/(Log[2]*(-4*x + Log[3])))","A",1
9716,1,33,21,0.0255592,"\int \frac{1}{20} \left(1-40 e^{-2 x}+40 e^{2 x}+e^x (-40-40 x)+e^{-x} (40-40 x)+40 x\right) \, dx","Integrate[(1 - 40/E^(2*x) + 40*E^(2*x) + E^x*(-40 - 40*x) + (40 - 40*x)/E^x + 40*x)/20,x]","x^2+2 e^{-x} x-2 e^x x+\frac{x}{20}+e^{-2 x}+e^{2 x}","\left(x+e^{-x}-e^x\right)^2+\frac{x}{20}-1",1,"E^(-2*x) + E^(2*x) + x/20 + (2*x)/E^x - 2*E^x*x + x^2","A",1
9717,1,24,24,0.0346811,"\int \frac{1+e^{x+e^x \log ^2(2)} \log ^2(2) (2+i \pi +\log (14))}{2+i \pi +\log (14)} \, dx","Integrate[(1 + E^(x + E^x*Log[2]^2)*Log[2]^2*(2 + I*Pi + Log[14]))/(2 + I*Pi + Log[14]),x]","e^{e^x \log ^2(2)}+\frac{x}{2+i \pi +\log (14)}","e^{e^x \log ^2(2)}+\frac{x}{2+i \pi +\log (14)}",1,"E^(E^x*Log[2]^2) + x/(2 + I*Pi + Log[14])","A",1
9718,1,22,22,0.0777669,"\int \frac{e^{\frac{5}{\log \left(-4+e^{e^{2 x}+x}+\log (5+x)\right)}} \left(-5+e^{e^{2 x}+x} \left(-25+e^{2 x} (-50-10 x)-5 x\right)\right)}{\left(-20-4 x+e^{e^{2 x}+x} (5+x)+(5+x) \log (5+x)\right) \log ^2\left(-4+e^{e^{2 x}+x}+\log (5+x)\right)} \, dx","Integrate[(E^(5/Log[-4 + E^(E^(2*x) + x) + Log[5 + x]])*(-5 + E^(E^(2*x) + x)*(-25 + E^(2*x)*(-50 - 10*x) - 5*x)))/((-20 - 4*x + E^(E^(2*x) + x)*(5 + x) + (5 + x)*Log[5 + x])*Log[-4 + E^(E^(2*x) + x) + Log[5 + x]]^2),x]","e^{\frac{5}{\log \left(e^{x+e^{2 x}}+\log (x+5)-4\right)}}","e^{\frac{5}{\log \left(e^{x+e^{2 x}}+\log (x+5)-4\right)}}",1,"E^(5/Log[-4 + E^(E^(2*x) + x) + Log[5 + x]])","A",1
9719,1,21,19,0.017649,"\int \frac{20+x+2 \log \left(\frac{1}{5} (-80-4 x) \log (5)\right)}{180+9 x} \, dx","Integrate[(20 + x + 2*Log[((-80 - 4*x)*Log[5])/5])/(180 + 9*x),x]","\frac{1}{9} \left(x+\log ^2\left(-\frac{4}{5} x \log (5)-16 \log (5)\right)\right)","\frac{1}{9} \left(x+\log ^2\left(\left(-\frac{4 x}{5}-16\right) \log (5)\right)\right)",1,"(x + Log[-16*Log[5] - (4*x*Log[5])/5]^2)/9","A",1
9720,1,20,20,0.0029716,"\int -\frac{16 (i \pi +\log (\log (16)))}{-3+9 x-9 x^2+3 x^3} \, dx","Integrate[(-16*(I*Pi + Log[Log[16]]))/(-3 + 9*x - 9*x^2 + 3*x^3),x]","\frac{8 i (\pi -i \log (\log (16)))}{3 (x-1)^2}","\frac{8 (\log (\log (16))+i \pi )}{3 (1-x)^2}",1,"(((8*I)/3)*(Pi - I*Log[Log[16]]))/(-1 + x)^2","A",1
9721,1,70,32,0.0001181,"\int \left(18 x^2+44 x^3+30 x^4+30 x^5+112 x^6+128 x^7+36 x^8+60 x^9+154 x^{10}+72 x^{11}+56 x^{13}+60 x^{14}+18 x^{17}+2 \log (\log (4))\right) \, dx","Integrate[18*x^2 + 44*x^3 + 30*x^4 + 30*x^5 + 112*x^6 + 128*x^7 + 36*x^8 + 60*x^9 + 154*x^10 + 72*x^11 + 56*x^13 + 60*x^14 + 18*x^17 + 2*Log[Log[4]],x]","x^{18}+4 x^{15}+4 x^{14}+6 x^{12}+14 x^{11}+6 x^{10}+4 x^9+16 x^8+16 x^7+5 x^6+6 x^5+11 x^4+6 x^3+2 x \log (\log (4))","x^2 \left(\left(-x^4-x-1\right)^2+x\right)^2-(x-\log (\log (4)))^2",1,"6*x^3 + 11*x^4 + 6*x^5 + 5*x^6 + 16*x^7 + 16*x^8 + 4*x^9 + 6*x^10 + 14*x^11 + 6*x^12 + 4*x^14 + 4*x^15 + x^18 + 2*x*Log[Log[4]]","B",1
9722,1,32,25,0.0141354,"\int \left(2 x+2 (i \pi +\log (4))^2 \log \left(4 e^x\right)\right) \, dx","Integrate[2*x + 2*(I*Pi + Log[4])^2*Log[4*E^x],x]","2 \left(\frac{x^2}{2}+\frac{1}{2} (\log (4)+i \pi )^2 \log ^2\left(4 e^x\right)\right)","x^2+(\log (4)+i \pi )^2 \log ^2\left(4 e^x\right)+e+3",1,"2*(x^2/2 + ((I*Pi + Log[4])^2*Log[4*E^x]^2)/2)","A",1
9723,1,64,25,0.1189027,"\int \frac{-x+x^2+\sqrt[4]{e} (-6160+12320 x) \left(x-x^2\right)^{\sqrt[4]{e}}+\sqrt[4]{e} (-4740+9480 x) \left(x-x^2\right)^{2 \sqrt[4]{e}}+\sqrt[4]{e} (-1200+2400 x) \left(x-x^2\right)^{3 \sqrt[4]{e}}+\sqrt[4]{e} (-100+200 x) \left(x-x^2\right)^{4 \sqrt[4]{e}}}{-x+x^2} \, dx","Integrate[(-x + x^2 + E^(1/4)*(-6160 + 12320*x)*(x - x^2)^E^(1/4) + E^(1/4)*(-4740 + 9480*x)*(x - x^2)^(2*E^(1/4)) + E^(1/4)*(-1200 + 2400*x)*(x - x^2)^(3*E^(1/4)) + E^(1/4)*(-100 + 200*x)*(x - x^2)^(4*E^(1/4)))/(-x + x^2),x]","25 (-((x-1) x))^{4 \sqrt[4]{e}}+400 (-((x-1) x))^{3 \sqrt[4]{e}}+2370 (-((x-1) x))^{2 \sqrt[4]{e}}+6160 (-((x-1) x))^{\sqrt[4]{e}}+x","\left(3-5 \left(\left(x-x^2\right)^{\sqrt[4]{e}}+4\right)^2\right)^2+x",1,"x + 6160*(-((-1 + x)*x))^E^(1/4) + 2370*(-((-1 + x)*x))^(2*E^(1/4)) + 400*(-((-1 + x)*x))^(3*E^(1/4)) + 25*(-((-1 + x)*x))^(4*E^(1/4))","B",1
9724,1,27,18,0.3784669,"\int \frac{1+\left(x^2+x^3+2 x^4\right) \log (x)-2 \log (x) \log (\log (x))}{\left(-6 x^3+x^4+x^5\right) \log (x)+x^3 \log ^2(x)+x \log (x) \log (\log (x))} \, dx","Integrate[(1 + (x^2 + x^3 + 2*x^4)*Log[x] - 2*Log[x]*Log[Log[x]])/((-6*x^3 + x^4 + x^5)*Log[x] + x^3*Log[x]^2 + x*Log[x]*Log[Log[x]]),x]","\log \left(x^4+x^3-6 x^2+x^2 \log (x)+\log (\log (x))\right)-2 \log (x)","\log \left(6 \left(x^2+\frac{\log (\log (x))}{x^2}+x+\log (x)-6\right)\right)",1,"-2*Log[x] + Log[-6*x^2 + x^3 + x^4 + x^2*Log[x] + Log[Log[x]]]","A",1
9725,1,19,28,0.086019,"\int \frac{-x+(-5+2 x) \log (-5+2 x)}{\left(-20 x+8 x^2\right) \log (5) \log (-5+2 x)+\left(-10 x+4 x^2\right) \log (-5+2 x) \log \left(-\frac{8 x^2}{5 \log (-5+2 x)}\right)} \, dx","Integrate[(-x + (-5 + 2*x)*Log[-5 + 2*x])/((-20*x + 8*x^2)*Log[5]*Log[-5 + 2*x] + (-10*x + 4*x^2)*Log[-5 + 2*x]*Log[(-8*x^2)/(5*Log[-5 + 2*x])]),x]","\frac{1}{4} \log \left(\log \left(-\frac{40 x^2}{\log (2 x-5)}\right)\right)","\frac{1}{4} \log \left(\frac{1}{2} \log \left(-\frac{8 x^2}{5 \log (2 x-5)}\right)+\log (5)\right)",1,"Log[Log[(-40*x^2)/Log[-5 + 2*x]]]/4","A",1
9726,1,24,26,0.3297082,"\int \frac{\exp \left(4 e^x+e^{\frac{e^{4 e^x+x}}{16-8 \log \left(x^2\right)+\log ^2\left(x^2\right)}}+\frac{e^{4 e^x+x}}{16-8 \log \left(x^2\right)+\log ^2\left(x^2\right)}\right) \left(16 e^{2 x} x+e^x (4+4 x)+\left(-e^x x-4 e^{2 x} x\right) \log \left(x^2\right)\right)}{-64 x+48 x \log \left(x^2\right)-12 x \log ^2\left(x^2\right)+x \log ^3\left(x^2\right)} \, dx","Integrate[(E^(4*E^x + E^(E^(4*E^x + x)/(16 - 8*Log[x^2] + Log[x^2]^2)) + E^(4*E^x + x)/(16 - 8*Log[x^2] + Log[x^2]^2))*(16*E^(2*x)*x + E^x*(4 + 4*x) + (-(E^x*x) - 4*E^(2*x)*x)*Log[x^2]))/(-64*x + 48*x*Log[x^2] - 12*x*Log[x^2]^2 + x*Log[x^2]^3),x]","-e^{e^{\frac{e^{x+4 e^x}}{\left(\log \left(x^2\right)-4\right)^2}}}","-e^{e^{\frac{e^{x+4 e^x}}{\left(4-\log \left(x^2\right)\right)^2}}}",1,"-E^E^(E^(4*E^x + x)/(-4 + Log[x^2])^2)","A",1
9727,1,31,32,0.2150452,"\int \frac{e^{e^x x} \left(e^5+x^2+e^x \left(x^3+x^4\right)+e^{2 x} \left(-e^5 x-2 x^3+e^x \left(-2 x^4-2 x^5\right)\right)+e^{4 x} \left(x^4+e^x \left(x^5+x^6\right)\right)+\left(-e^5+e^{5+x} \left(x+x^2\right)+e^{2 x} \left(e^5 \left(2 x+2 x^2\right)+e^{5+x} \left(-x^2-x^3\right)\right)\right) \log (x)\right)}{x^2-2 e^{2 x} x^3+e^{4 x} x^4} \, dx","Integrate[(E^(E^x*x)*(E^5 + x^2 + E^x*(x^3 + x^4) + E^(2*x)*(-(E^5*x) - 2*x^3 + E^x*(-2*x^4 - 2*x^5)) + E^(4*x)*(x^4 + E^x*(x^5 + x^6)) + (-E^5 + E^(5 + x)*(x + x^2) + E^(2*x)*(E^5*(2*x + 2*x^2) + E^(5 + x)*(-x^2 - x^3)))*Log[x]))/(x^2 - 2*E^(2*x)*x^3 + E^(4*x)*x^4),x]","e^{e^x x} \left(x-\frac{e^5 \log (x)}{x \left(e^{2 x} x-1\right)}\right)","e^{e^x x} \left(x-\frac{e^5 \log (x)}{e^{2 x} x^2-x}\right)",1,"E^(E^x*x)*(x - (E^5*Log[x])/(x*(-1 + E^(2*x)*x)))","A",1
9728,1,32,32,0.2166013,"\int \frac{e^{\frac{-\left(\frac{e^{-x}}{x}\right)^{e^{-e^{15/x}}}+x^3}{x}} \left(2 x^4 \log \left(\frac{e^{-x}}{x}\right)+\left(\frac{e^{-x}}{x}\right)^{e^{-e^{15/x}}} \left(x \log \left(\frac{e^{-x}}{x}\right)+e^{-e^{15/x}} \log \left(\frac{e^{-x}}{x}\right) \left(x+x^2-15 e^{15/x} \log \left(\frac{e^{-x}}{x}\right)\right)\right)\right)}{x^3 \log \left(\frac{e^{-x}}{x}\right)} \, dx","Integrate[(E^((-(1/(E^x*x))^E^(-E^(15/x)) + x^3)/x)*(2*x^4*Log[1/(E^x*x)] + (1/(E^x*x))^E^(-E^(15/x))*(x*Log[1/(E^x*x)] + (Log[1/(E^x*x)]*(x + x^2 - 15*E^(15/x)*Log[1/(E^x*x)]))/E^E^(15/x))))/(x^3*Log[1/(E^x*x)]),x]","e^{x^2-\frac{\left(\frac{e^{-x}}{x}\right)^{e^{-e^{15/x}}}}{x}}","e^{x^2-\frac{\left(\frac{e^{-x}}{x}\right)^{e^{-e^{15/x}}}}{x}}",1,"E^(-((1/(E^x*x))^E^(-E^(15/x))/x) + x^2)","A",1
9729,1,46,35,5.0690339,"\int \frac{\left(2 x^2+8 x^3\right) \log ^3(2) \log \left(\frac{2}{-2+x+2 x^2}\right)+\left(4 x-2 x^2-4 x^3\right) \log ^3(2) \log ^2\left(\frac{2}{-2+x+2 x^2}\right)}{\left(2-x-2 x^2\right) \log ^3(2)+\left(-6 x+3 x^2+6 x^3\right) \log ^2(2) \log \left(\frac{2}{-2+x+2 x^2}\right)+\left(6 x^2-3 x^3-6 x^4\right) \log (2) \log ^2\left(\frac{2}{-2+x+2 x^2}\right)+\left(-2 x^3+x^4+2 x^5\right) \log ^3\left(\frac{2}{-2+x+2 x^2}\right)} \, dx","Integrate[((2*x^2 + 8*x^3)*Log[2]^3*Log[2/(-2 + x + 2*x^2)] + (4*x - 2*x^2 - 4*x^3)*Log[2]^3*Log[2/(-2 + x + 2*x^2)]^2)/((2 - x - 2*x^2)*Log[2]^3 + (-6*x + 3*x^2 + 6*x^3)*Log[2]^2*Log[2/(-2 + x + 2*x^2)] + (6*x^2 - 3*x^3 - 6*x^4)*Log[2]*Log[2/(-2 + x + 2*x^2)]^2 + (-2*x^3 + x^4 + 2*x^5)*Log[2/(-2 + x + 2*x^2)]^3),x]","-\frac{\log ^3(2) \left(\log (2)-2 x \log \left(\frac{2}{2 x^2+x-2}\right)\right)}{\left(\log (2)-x \log \left(\frac{2}{2 x^2+x-2}\right)\right)^2}","\frac{x^2 \log ^2(2)}{\left(\frac{\log (2)}{\log \left(\frac{2}{2 \left(x^2-1\right)+x}\right)}-x\right)^2}-3",1,"-((Log[2]^3*(Log[2] - 2*x*Log[2/(-2 + x + 2*x^2)]))/(Log[2] - x*Log[2/(-2 + x + 2*x^2)])^2)","A",1
9730,1,46,24,0.0768514,"\int \frac{\exp \left(\frac{65536 x+16384 x^2-261121 x^3-65536 x^4-8196 x^5-512 x^6-16 x^7}{65536+16384 x+2048 x^2+128 x^3+4 x^4}\right) \left(8388608+3145728 x-100467072 x^2-37765136 x^3-7081471 x^4-786624 x^5-55300 x^6-2304 x^7-48 x^8\right)}{8388608+3145728 x+589824 x^2+65536 x^3+4608 x^4+192 x^5+4 x^6} \, dx","Integrate[(E^((65536*x + 16384*x^2 - 261121*x^3 - 65536*x^4 - 8196*x^5 - 512*x^6 - 16*x^7)/(65536 + 16384*x + 2048*x^2 + 128*x^3 + 4*x^4))*(8388608 + 3145728*x - 100467072*x^2 - 37765136*x^3 - 7081471*x^4 - 786624*x^5 - 55300*x^6 - 2304*x^7 - 48*x^8))/(8388608 + 3145728*x + 589824*x^2 + 65536*x^3 + 4608*x^4 + 192*x^5 + 4*x^6),x]","\exp \left(-4 x^3+\frac{-1025 x-16368}{4 \left(x^2+16 x+128\right)}-\frac{32 (x+16)}{\left(x^2+16 x+128\right)^2}-x+32\right)","e^{x-x^3 \left(\frac{1}{x^2+(x+16)^2}+2\right)^2}",1,"E^(32 - x - 4*x^3 - (32*(16 + x))/(128 + 16*x + x^2)^2 + (-16368 - 1025*x)/(4*(128 + 16*x + x^2)))","A",1
9731,0,0,29,0.8075992,"\int \frac{4 x^3-4 x^4+x^5+\left(8 x^2-8 x^3+2 x^4\right) \log (x)+e^{\frac{2 (-9+\log (x))}{-2 x+x^2}} \left(4 x-4 x^2+x^3+\left(8-8 x+2 x^2\right) \log (x)\right)+e^{\frac{-9+\log (x)}{-2 x+x^2}} \left(20-15 x-12 x^2+9 x^3-2 x^4+\left(-2-14 x+16 x^2-4 x^3\right) \log (x)\right)}{4 x^3-4 x^4+x^5+e^{\frac{2 (-9+\log (x))}{-2 x+x^2}} \left(4 x-4 x^2+x^3\right)+e^{\frac{-9+\log (x)}{-2 x+x^2}} \left(-8 x^2+8 x^3-2 x^4\right)} \, dx","Integrate[(4*x^3 - 4*x^4 + x^5 + (8*x^2 - 8*x^3 + 2*x^4)*Log[x] + E^((2*(-9 + Log[x]))/(-2*x + x^2))*(4*x - 4*x^2 + x^3 + (8 - 8*x + 2*x^2)*Log[x]) + E^((-9 + Log[x])/(-2*x + x^2))*(20 - 15*x - 12*x^2 + 9*x^3 - 2*x^4 + (-2 - 14*x + 16*x^2 - 4*x^3)*Log[x]))/(4*x^3 - 4*x^4 + x^5 + E^((2*(-9 + Log[x]))/(-2*x + x^2))*(4*x - 4*x^2 + x^3) + E^((-9 + Log[x])/(-2*x + x^2))*(-8*x^2 + 8*x^3 - 2*x^4)),x]","\int \frac{4 x^3-4 x^4+x^5+\left(8 x^2-8 x^3+2 x^4\right) \log (x)+e^{\frac{2 (-9+\log (x))}{-2 x+x^2}} \left(4 x-4 x^2+x^3+\left(8-8 x+2 x^2\right) \log (x)\right)+e^{\frac{-9+\log (x)}{-2 x+x^2}} \left(20-15 x-12 x^2+9 x^3-2 x^4+\left(-2-14 x+16 x^2-4 x^3\right) \log (x)\right)}{4 x^3-4 x^4+x^5+e^{\frac{2 (-9+\log (x))}{-2 x+x^2}} \left(4 x-4 x^2+x^3\right)+e^{\frac{-9+\log (x)}{-2 x+x^2}} \left(-8 x^2+8 x^3-2 x^4\right)} \, dx","x+\log ^2(x)+\frac{x}{e^{\frac{\log (x)-9}{(x-2) x}}-x}",1,"Integrate[(4*x^3 - 4*x^4 + x^5 + (8*x^2 - 8*x^3 + 2*x^4)*Log[x] + E^((2*(-9 + Log[x]))/(-2*x + x^2))*(4*x - 4*x^2 + x^3 + (8 - 8*x + 2*x^2)*Log[x]) + E^((-9 + Log[x])/(-2*x + x^2))*(20 - 15*x - 12*x^2 + 9*x^3 - 2*x^4 + (-2 - 14*x + 16*x^2 - 4*x^3)*Log[x]))/(4*x^3 - 4*x^4 + x^5 + E^((2*(-9 + Log[x]))/(-2*x + x^2))*(4*x - 4*x^2 + x^3) + E^((-9 + Log[x])/(-2*x + x^2))*(-8*x^2 + 8*x^3 - 2*x^4)), x]","F",-1
9732,1,38,27,0.0578865,"\int \frac{-16 x^2+\left(-2 e^4 x^2+6 x^4\right) \log (x)+\left(16+4 x^2 \log (x)\right) \log \left(\log ^2(x)\right)-10 \log (x) \log ^2\left(\log ^2(x)\right)}{\left(e^4 x^3+x^5\right) \log (x)-2 x^3 \log (x) \log \left(\log ^2(x)\right)+x \log (x) \log ^2\left(\log ^2(x)\right)} \, dx","Integrate[(-16*x^2 + (-2*E^4*x^2 + 6*x^4)*Log[x] + (16 + 4*x^2*Log[x])*Log[Log[x]^2] - 10*Log[x]*Log[Log[x]^2]^2)/((E^4*x^3 + x^5)*Log[x] - 2*x^3*Log[x]*Log[Log[x]^2] + x*Log[x]*Log[Log[x]^2]^2),x]","-2 \left(5 \log (x)-2 \log \left(x^4+e^4 x^2-2 x^2 \log \left(\log ^2(x)\right)+\log ^2\left(\log ^2(x)\right)\right)\right)","\log \left(\frac{8 \left(\left(\frac{\log \left(\log ^2(x)\right)}{x}-x\right)^2+e^4\right)^4}{x^2}\right)",1,"-2*(5*Log[x] - 2*Log[E^4*x^2 + x^4 - 2*x^2*Log[Log[x]^2] + Log[Log[x]^2]^2])","A",1
9733,1,15,15,0.1012673,"\int e^{4 e^{-2 x^3}} \left(e^{12}-24 e^{12-2 x^3} x^3\right) \, dx","Integrate[E^(4/E^(2*x^3))*(E^12 - 24*E^(12 - 2*x^3)*x^3),x]","e^{4 \left(e^{-2 x^3}+3\right)} x","e^{4 e^{-2 x^3}+12} x",1,"E^(4*(3 + E^(-2*x^3)))*x","A",1
9734,1,13,14,0.0036092,"\int \frac{1}{9} \left(9-32 e^{\frac{16 x^2}{9}} x\right) \, dx","Integrate[(9 - 32*E^((16*x^2)/9)*x)/9,x]","x-e^{\frac{16 x^2}{9}}","-e^{\frac{16 x^2}{9}}+x+2",1,"-E^((16*x^2)/9) + x","A",1
9735,1,1849,31,3.2489535,"\int \frac{-787377632+e^{14} (-152-16 x)-129835568 x+204211936 x^2+16951616 x^3-13325440 x^4-1536256 x^5+252416 x^6+48128 x^7+2048 x^8+e^{12} \left(4256+2576 x+224 x^2\right)+e^{10} \left(5928-50448 x-18144 x^2-1344 x^3\right)+e^8 \left(-799520-143440 x+249120 x^2+69440 x^3+4480 x^4\right)+e^6 \left(633080+6462800 x+910400 x^2-656000 x^3-156800 x^4-8960 x^5\right)+e^4 \left(52288608+1705584 x-19588320 x^2-2494080 x^3+971520 x^4+209664 x^5+10752 x^6\right)+e^2 \left(23476856-206683184 x-14419296 x^2+26384320 x^3+3167360 x^4-767232 x^5-154112 x^6-7168 x^7\right)+\left(-586921400+5167079600 x+360482400 x^2-659608000 x^3-79184000 x^4+19180800 x^5+3852800 x^6+179200 x^7+e^{12} (26600+2800 x)+e^{10} \left(-638400-386400 x-33600 x^2\right)+e^8 \left(-741000+6306000 x+2268000 x^2+168000 x^3\right)+e^6 \left(79952000+14344000 x-24912000 x^2-6944000 x^3-448000 x^4\right)+e^4 \left(-47481000-484710000 x-68280000 x^2+49200000 x^3+11760000 x^4+672000 x^5\right)+e^2 \left(-2614430400-85279200 x+979416000 x^2+124704000 x^3-48576000 x^4-10483200 x^5-537600 x^6\right)\right) \log (3-x)+\left(32680380000+e^{10} (-1995000-210000 x)+1065990000 x-12242700000 x^2-1558800000 x^3+607200000 x^4+131040000 x^5+6720000 x^6+e^8 \left(39900000+24150000 x+2100000 x^2\right)+e^6 \left(37050000-315300000 x-113400000 x^2-8400000 x^3\right)+e^4 \left(-2998200000-537900000 x+934200000 x^2+260400000 x^3+16800000 x^4\right)+e^2 \left(1187025000+12117750000 x+1707000000 x^2-1230000000 x^3-294000000 x^4-16800000 x^5\right)\right) \log ^2(3-x)+\left(-9891875000-100981250000 x-14225000000 x^2+10250000000 x^3+2450000000 x^4+140000000 x^5+e^8 (83125000+8750000 x)+e^6 \left(-1330000000-805000000 x-70000000 x^2\right)+e^4 \left(-926250000+7882500000 x+2835000000 x^2+210000000 x^3\right)+e^2 \left(49970000000+8965000000 x-15570000000 x^2-4340000000 x^3-280000000 x^4\right)\right) \log ^3(3-x)+\left(-312312500000+e^6 (-2078125000-218750000 x)-56031250000 x+97312500000 x^2+27125000000 x^3+1750000000 x^4+e^4 \left(24937500000+15093750000 x+1312500000 x^2\right)+e^2 \left(11578125000-98531250000 x-35437500000 x^2-2625000000 x^3\right)\right) \log ^4(3-x)+\left(-57890625000+492656250000 x+177187500000 x^2+13125000000 x^3+e^4 (31171875000+3281250000 x)+e^2 \left(-249375000000-150937500000 x-13125000000 x^2\right)\right) \log ^5(3-x)+\left(1039062500000+e^2 (-259765625000-27343750000 x)+628906250000 x+54687500000 x^2\right) \log ^6(3-x)+(927734375000+97656250000 x) \log ^7(3-x)}{-1171875+390625 x} \, dx","Integrate[(-787377632 + E^14*(-152 - 16*x) - 129835568*x + 204211936*x^2 + 16951616*x^3 - 13325440*x^4 - 1536256*x^5 + 252416*x^6 + 48128*x^7 + 2048*x^8 + E^12*(4256 + 2576*x + 224*x^2) + E^10*(5928 - 50448*x - 18144*x^2 - 1344*x^3) + E^8*(-799520 - 143440*x + 249120*x^2 + 69440*x^3 + 4480*x^4) + E^6*(633080 + 6462800*x + 910400*x^2 - 656000*x^3 - 156800*x^4 - 8960*x^5) + E^4*(52288608 + 1705584*x - 19588320*x^2 - 2494080*x^3 + 971520*x^4 + 209664*x^5 + 10752*x^6) + E^2*(23476856 - 206683184*x - 14419296*x^2 + 26384320*x^3 + 3167360*x^4 - 767232*x^5 - 154112*x^6 - 7168*x^7) + (-586921400 + 5167079600*x + 360482400*x^2 - 659608000*x^3 - 79184000*x^4 + 19180800*x^5 + 3852800*x^6 + 179200*x^7 + E^12*(26600 + 2800*x) + E^10*(-638400 - 386400*x - 33600*x^2) + E^8*(-741000 + 6306000*x + 2268000*x^2 + 168000*x^3) + E^6*(79952000 + 14344000*x - 24912000*x^2 - 6944000*x^3 - 448000*x^4) + E^4*(-47481000 - 484710000*x - 68280000*x^2 + 49200000*x^3 + 11760000*x^4 + 672000*x^5) + E^2*(-2614430400 - 85279200*x + 979416000*x^2 + 124704000*x^3 - 48576000*x^4 - 10483200*x^5 - 537600*x^6))*Log[3 - x] + (32680380000 + E^10*(-1995000 - 210000*x) + 1065990000*x - 12242700000*x^2 - 1558800000*x^3 + 607200000*x^4 + 131040000*x^5 + 6720000*x^6 + E^8*(39900000 + 24150000*x + 2100000*x^2) + E^6*(37050000 - 315300000*x - 113400000*x^2 - 8400000*x^3) + E^4*(-2998200000 - 537900000*x + 934200000*x^2 + 260400000*x^3 + 16800000*x^4) + E^2*(1187025000 + 12117750000*x + 1707000000*x^2 - 1230000000*x^3 - 294000000*x^4 - 16800000*x^5))*Log[3 - x]^2 + (-9891875000 - 100981250000*x - 14225000000*x^2 + 10250000000*x^3 + 2450000000*x^4 + 140000000*x^5 + E^8*(83125000 + 8750000*x) + E^6*(-1330000000 - 805000000*x - 70000000*x^2) + E^4*(-926250000 + 7882500000*x + 2835000000*x^2 + 210000000*x^3) + E^2*(49970000000 + 8965000000*x - 15570000000*x^2 - 4340000000*x^3 - 280000000*x^4))*Log[3 - x]^3 + (-312312500000 + E^6*(-2078125000 - 218750000*x) - 56031250000*x + 97312500000*x^2 + 27125000000*x^3 + 1750000000*x^4 + E^4*(24937500000 + 15093750000*x + 1312500000*x^2) + E^2*(11578125000 - 98531250000*x - 35437500000*x^2 - 2625000000*x^3))*Log[3 - x]^4 + (-57890625000 + 492656250000*x + 177187500000*x^2 + 13125000000*x^3 + E^4*(31171875000 + 3281250000*x) + E^2*(-249375000000 - 150937500000*x - 13125000000*x^2))*Log[3 - x]^5 + (1039062500000 + E^2*(-259765625000 - 27343750000*x) + 628906250000*x + 54687500000*x^2)*Log[3 - x]^6 + (927734375000 + 97656250000*x)*Log[3 - x]^7)/(-1171875 + 390625*x),x]","\frac{8 \left(32 x^8+3200 \log (3-x) x^7-128 e^2 x^7+512 x^7+140000 \log ^2(3-x) x^6-11200 e^2 \log (3-x) x^6+44800 \log (3-x) x^6+224 e^4 x^6-1792 e^2 x^6-416 x^6+3500000 \log ^3(3-x) x^5-420000 e^2 \log ^2(3-x) x^5+1680000 \log ^2(3-x) x^5+16800 e^4 \log (3-x) x^5-134400 e^2 \log (3-x) x^5-31200 \log (3-x) x^5-224 e^6 x^5+2688 e^4 x^5+1248 e^2 x^5-33664 x^5+54687500 \log ^4(3-x) x^4-8750000 e^2 \log ^3(3-x) x^4+35000000 \log ^3(3-x) x^4+525000 e^4 \log ^2(3-x) x^4-4200000 e^2 \log ^2(3-x) x^4-975000 \log ^2(3-x) x^4-14000 e^6 \log (3-x) x^4+168000 e^4 \log (3-x) x^4+78000 e^2 \log (3-x) x^4-2104000 \log (3-x) x^4+140 e^8 x^4-2240 e^6 x^4-1560 e^4 x^4+84160 e^2 x^4-16660 x^4+546875000 \log ^5(3-x) x^3-109375000 e^2 \log ^4(3-x) x^3+437500000 \log ^4(3-x) x^3+8750000 e^4 \log ^3(3-x) x^3-70000000 e^2 \log ^3(3-x) x^3-16250000 \log ^3(3-x) x^3-350000 e^6 \log ^2(3-x) x^3+4200000 e^4 \log ^2(3-x) x^3+1950000 e^2 \log ^2(3-x) x^3-52600000 \log ^2(3-x) x^3+7000 e^8 \log (3-x) x^3-112000 e^6 \log (3-x) x^3-78000 e^4 \log (3-x) x^3+4208000 e^2 \log (3-x) x^3-833000 \log (3-x) x^3-56 e^{10} x^3+1120 e^8 x^3+1040 e^6 x^3-84160 e^4 x^3+33320 e^2 x^3+917344 x^3+3417968750 \log ^6(3-x) x^2-820312500 e^2 \log ^5(3-x) x^2+3281250000 \log ^5(3-x) x^2+82031250 e^4 \log ^4(3-x) x^2-656250000 e^2 \log ^4(3-x) x^2-152343750 \log ^4(3-x) x^2-4375000 e^6 \log ^3(3-x) x^2+52500000 e^4 \log ^3(3-x) x^2+24375000 e^2 \log ^3(3-x) x^2-657500000 \log ^3(3-x) x^2+131250 e^8 \log ^2(3-x) x^2-2100000 e^6 \log ^2(3-x) x^2-1462500 e^4 \log ^2(3-x) x^2+78900000 e^2 \log ^2(3-x) x^2-15618750 \log ^2(3-x) x^2-2100 e^{10} \log (3-x) x^2+42000 e^8 \log (3-x) x^2+39000 e^6 \log (3-x) x^2-3156000 e^4 \log (3-x) x^2+1249500 e^2 \log (3-x) x^2+34400400 \log (3-x) x^2+14 e^{12} x^2-336 e^{10} x^2-390 e^8 x^2+42080 e^6 x^2-24990 e^4 x^2-1376016 e^2 x^2-308906 x^2+12207031250 \log ^7(3-x) x-3417968750 e^2 \log ^6(3-x) x+13671875000 \log ^6(3-x) x+410156250 e^4 \log ^5(3-x) x-3281250000 e^2 \log ^5(3-x) x-761718750 \log ^5(3-x) x-27343750 e^6 \log ^4(3-x) x+328125000 e^4 \log ^4(3-x) x+152343750 e^2 \log ^4(3-x) x-4109375000 \log ^4(3-x) x+1093750 e^8 \log ^3(3-x) x-17500000 e^6 \log ^3(3-x) x-12187500 e^4 \log ^3(3-x) x+657500000 e^2 \log ^3(3-x) x-130156250 \log ^3(3-x) x-26250 e^{10} \log ^2(3-x) x+525000 e^8 \log ^2(3-x) x+487500 e^6 \log ^2(3-x) x-39450000 e^4 \log ^2(3-x) x+15618750 e^2 \log ^2(3-x) x+430005000 \log ^2(3-x) x+350 e^{12} \log (3-x) x-8400 e^{10} \log (3-x) x-9750 e^8 \log (3-x) x+1052000 e^6 \log (3-x) x-624750 e^4 \log (3-x) x-34400400 e^2 \log (3-x) x-7722650 \log (3-x) x-2 e^{14} x+56 e^{12} x+78 e^{10} x-10520 e^8 x+8330 e^6 x+688008 e^4 x+308906 e^2 x-10360232 x+\frac{152587890625}{8} \log ^8(3-x)-6103515625 e^2 \log ^7(3-x)+24414062500 \log ^7(3-x)+\frac{1708984375}{2} e^4 \log ^6(3-x)-6835937500 e^2 \log ^6(3-x)-\frac{3173828125}{2} \log ^6(3-x)-68359375 e^6 \log ^5(3-x)+820312500 e^4 \log ^5(3-x)+380859375 e^2 \log ^5(3-x)-10273437500 \log ^5(3-x)+\frac{13671875}{4} e^8 \log ^4(3-x)-54687500 e^6 \log ^4(3-x)-\frac{76171875}{2} e^4 \log ^4(3-x)+2054687500 e^2 \log ^4(3-x)-\frac{1626953125}{4} \log ^4(3-x)-109375 e^{10} \log ^3(3-x)+2187500 e^8 \log ^3(3-x)+2031250 e^6 \log ^3(3-x)-164375000 e^4 \log ^3(3-x)+65078125 e^2 \log ^3(3-x)+1791687500 \log ^3(3-x)+\frac{4375}{2} e^{12} \log ^2(3-x)-52500 e^{10} \log ^2(3-x)-\frac{121875}{2} e^8 \log ^2(3-x)+6575000 e^6 \log ^2(3-x)-\frac{7809375}{2} e^4 \log ^2(3-x)-215002500 e^2 \log ^2(3-x)-\frac{96533125}{2} \log ^2(3-x)-25 e^{14} \log (3-x)+700 e^{12} \log (3-x)+975 e^{10} \log (3-x)-131500 e^8 \log (3-x)+104125 e^6 \log (3-x)+8600100 e^4 \log (3-x)+3861325 e^2 \log (3-x)-129502900 \log (3-x)\right)}{390625}","\left(5-\left(\frac{1}{5} \left(2 x-e^2+4\right)+5 \log (3-x)\right)^2\right)^4",1,"(8*(-10360232*x + 308906*E^2*x + 688008*E^4*x + 8330*E^6*x - 10520*E^8*x + 78*E^10*x + 56*E^12*x - 2*E^14*x - 308906*x^2 - 1376016*E^2*x^2 - 24990*E^4*x^2 + 42080*E^6*x^2 - 390*E^8*x^2 - 336*E^10*x^2 + 14*E^12*x^2 + 917344*x^3 + 33320*E^2*x^3 - 84160*E^4*x^3 + 1040*E^6*x^3 + 1120*E^8*x^3 - 56*E^10*x^3 - 16660*x^4 + 84160*E^2*x^4 - 1560*E^4*x^4 - 2240*E^6*x^4 + 140*E^8*x^4 - 33664*x^5 + 1248*E^2*x^5 + 2688*E^4*x^5 - 224*E^6*x^5 - 416*x^6 - 1792*E^2*x^6 + 224*E^4*x^6 + 512*x^7 - 128*E^2*x^7 + 32*x^8 - 129502900*Log[3 - x] + 3861325*E^2*Log[3 - x] + 8600100*E^4*Log[3 - x] + 104125*E^6*Log[3 - x] - 131500*E^8*Log[3 - x] + 975*E^10*Log[3 - x] + 700*E^12*Log[3 - x] - 25*E^14*Log[3 - x] - 7722650*x*Log[3 - x] - 34400400*E^2*x*Log[3 - x] - 624750*E^4*x*Log[3 - x] + 1052000*E^6*x*Log[3 - x] - 9750*E^8*x*Log[3 - x] - 8400*E^10*x*Log[3 - x] + 350*E^12*x*Log[3 - x] + 34400400*x^2*Log[3 - x] + 1249500*E^2*x^2*Log[3 - x] - 3156000*E^4*x^2*Log[3 - x] + 39000*E^6*x^2*Log[3 - x] + 42000*E^8*x^2*Log[3 - x] - 2100*E^10*x^2*Log[3 - x] - 833000*x^3*Log[3 - x] + 4208000*E^2*x^3*Log[3 - x] - 78000*E^4*x^3*Log[3 - x] - 112000*E^6*x^3*Log[3 - x] + 7000*E^8*x^3*Log[3 - x] - 2104000*x^4*Log[3 - x] + 78000*E^2*x^4*Log[3 - x] + 168000*E^4*x^4*Log[3 - x] - 14000*E^6*x^4*Log[3 - x] - 31200*x^5*Log[3 - x] - 134400*E^2*x^5*Log[3 - x] + 16800*E^4*x^5*Log[3 - x] + 44800*x^6*Log[3 - x] - 11200*E^2*x^6*Log[3 - x] + 3200*x^7*Log[3 - x] - (96533125*Log[3 - x]^2)/2 - 215002500*E^2*Log[3 - x]^2 - (7809375*E^4*Log[3 - x]^2)/2 + 6575000*E^6*Log[3 - x]^2 - (121875*E^8*Log[3 - x]^2)/2 - 52500*E^10*Log[3 - x]^2 + (4375*E^12*Log[3 - x]^2)/2 + 430005000*x*Log[3 - x]^2 + 15618750*E^2*x*Log[3 - x]^2 - 39450000*E^4*x*Log[3 - x]^2 + 487500*E^6*x*Log[3 - x]^2 + 525000*E^8*x*Log[3 - x]^2 - 26250*E^10*x*Log[3 - x]^2 - 15618750*x^2*Log[3 - x]^2 + 78900000*E^2*x^2*Log[3 - x]^2 - 1462500*E^4*x^2*Log[3 - x]^2 - 2100000*E^6*x^2*Log[3 - x]^2 + 131250*E^8*x^2*Log[3 - x]^2 - 52600000*x^3*Log[3 - x]^2 + 1950000*E^2*x^3*Log[3 - x]^2 + 4200000*E^4*x^3*Log[3 - x]^2 - 350000*E^6*x^3*Log[3 - x]^2 - 975000*x^4*Log[3 - x]^2 - 4200000*E^2*x^4*Log[3 - x]^2 + 525000*E^4*x^4*Log[3 - x]^2 + 1680000*x^5*Log[3 - x]^2 - 420000*E^2*x^5*Log[3 - x]^2 + 140000*x^6*Log[3 - x]^2 + 1791687500*Log[3 - x]^3 + 65078125*E^2*Log[3 - x]^3 - 164375000*E^4*Log[3 - x]^3 + 2031250*E^6*Log[3 - x]^3 + 2187500*E^8*Log[3 - x]^3 - 109375*E^10*Log[3 - x]^3 - 130156250*x*Log[3 - x]^3 + 657500000*E^2*x*Log[3 - x]^3 - 12187500*E^4*x*Log[3 - x]^3 - 17500000*E^6*x*Log[3 - x]^3 + 1093750*E^8*x*Log[3 - x]^3 - 657500000*x^2*Log[3 - x]^3 + 24375000*E^2*x^2*Log[3 - x]^3 + 52500000*E^4*x^2*Log[3 - x]^3 - 4375000*E^6*x^2*Log[3 - x]^3 - 16250000*x^3*Log[3 - x]^3 - 70000000*E^2*x^3*Log[3 - x]^3 + 8750000*E^4*x^3*Log[3 - x]^3 + 35000000*x^4*Log[3 - x]^3 - 8750000*E^2*x^4*Log[3 - x]^3 + 3500000*x^5*Log[3 - x]^3 - (1626953125*Log[3 - x]^4)/4 + 2054687500*E^2*Log[3 - x]^4 - (76171875*E^4*Log[3 - x]^4)/2 - 54687500*E^6*Log[3 - x]^4 + (13671875*E^8*Log[3 - x]^4)/4 - 4109375000*x*Log[3 - x]^4 + 152343750*E^2*x*Log[3 - x]^4 + 328125000*E^4*x*Log[3 - x]^4 - 27343750*E^6*x*Log[3 - x]^4 - 152343750*x^2*Log[3 - x]^4 - 656250000*E^2*x^2*Log[3 - x]^4 + 82031250*E^4*x^2*Log[3 - x]^4 + 437500000*x^3*Log[3 - x]^4 - 109375000*E^2*x^3*Log[3 - x]^4 + 54687500*x^4*Log[3 - x]^4 - 10273437500*Log[3 - x]^5 + 380859375*E^2*Log[3 - x]^5 + 820312500*E^4*Log[3 - x]^5 - 68359375*E^6*Log[3 - x]^5 - 761718750*x*Log[3 - x]^5 - 3281250000*E^2*x*Log[3 - x]^5 + 410156250*E^4*x*Log[3 - x]^5 + 3281250000*x^2*Log[3 - x]^5 - 820312500*E^2*x^2*Log[3 - x]^5 + 546875000*x^3*Log[3 - x]^5 - (3173828125*Log[3 - x]^6)/2 - 6835937500*E^2*Log[3 - x]^6 + (1708984375*E^4*Log[3 - x]^6)/2 + 13671875000*x*Log[3 - x]^6 - 3417968750*E^2*x*Log[3 - x]^6 + 3417968750*x^2*Log[3 - x]^6 + 24414062500*Log[3 - x]^7 - 6103515625*E^2*Log[3 - x]^7 + 12207031250*x*Log[3 - x]^7 + (152587890625*Log[3 - x]^8)/8))/390625","B",1
9736,1,15,17,0.0380144,"\int \frac{8}{-3+12 x+(-1+4 x) \log (4)+(-1+4 x) \log \left(\frac{1}{16} \left(1-8 x+16 x^2\right)\right)} \, dx","Integrate[8/(-3 + 12*x + (-1 + 4*x)*Log[4] + (-1 + 4*x)*Log[(1 - 8*x + 16*x^2)/16]),x]","\log \left(\log \left(\frac{1}{4} (1-4 x)^2\right)+3\right)","\log \left(\frac{4}{3} \left(\log \left(\left(x-\frac{1}{4}\right)^2\right)+3+\log (4)\right)\right)",1,"Log[3 + Log[(1 - 4*x)^2/4]]","A",1
9737,1,37,38,0.0701274,"\int \frac{1853 x-7252 x^2+10252 x^3-5952 x^4+1508 x^5+784 x^6-1856 x^7+768 x^8+\left(2890-7752 x+10312 x^2-10688 x^3+8296 x^4-4448 x^5+1920 x^6-512 x^7\right) \log (x)+\left(408 x-3784 x^2+8880 x^3-9488 x^4+6848 x^5-3840 x^6+1024 x^7\right) \log ^2(x)}{-500 x+200 x^2+940 x^3-464 x^4-448 x^5+256 x^6+\left(-1000 x+1400 x^2+480 x^3-1408 x^4+512 x^5\right) \log ^2(x)+\left(-500 x+1200 x^2-960 x^3+256 x^4\right) \log ^4(x)} \, dx","Integrate[(1853*x - 7252*x^2 + 10252*x^3 - 5952*x^4 + 1508*x^5 + 784*x^6 - 1856*x^7 + 768*x^8 + (2890 - 7752*x + 10312*x^2 - 10688*x^3 + 8296*x^4 - 4448*x^5 + 1920*x^6 - 512*x^7)*Log[x] + (408*x - 3784*x^2 + 8880*x^3 - 9488*x^4 + 6848*x^5 - 3840*x^6 + 1024*x^7)*Log[x]^2)/(-500*x + 200*x^2 + 940*x^3 - 464*x^4 - 448*x^5 + 256*x^6 + (-1000*x + 1400*x^2 + 480*x^3 - 1408*x^4 + 512*x^5)*Log[x]^2 + (-500*x + 1200*x^2 - 960*x^3 + 256*x^4)*Log[x]^4),x]","\frac{\left(-8 x^3+10 x^2-16 x+17\right)^2}{4 (5-4 x)^2 \left(x+\log ^2(x)+1\right)}","\frac{\left(-x^2+\frac{1}{2 \left(\frac{5-x}{3}-x\right)}-2\right)^2}{x+\log ^2(x)+1}",1,"(17 - 16*x + 10*x^2 - 8*x^3)^2/(4*(5 - 4*x)^2*(1 + x + Log[x]^2))","A",1
9738,1,19,28,0.1118333,"\int \frac{-5-22 x-4 x^2+2 e^{-2-x} (16+3 x)}{-5 x-x^2+2 e^{-2-x} (5+x)} \, dx","Integrate[(-5 - 22*x - 4*x^2 + 2*E^(-2 - x)*(16 + 3*x))/(-5*x - x^2 + 2*E^(-2 - x)*(5 + x)),x]","3 x+\log (x+5)+\log \left(2-e^{x+2} x\right)","2 x+\log \left(e^{2 x} \left(2 e^{-x-2}-x\right) (x+5)\right)+1",1,"3*x + Log[5 + x] + Log[2 - E^(2 + x)*x]","A",1
9739,1,11,15,0.0020763,"\int \frac{-e^2 \log (x \log (5))-x \log (x \log (5))}{x \log (x \log (5))} \, dx","Integrate[(-(E^2*Log[x*Log[5]]) - x*Log[x*Log[5]])/(x*Log[x*Log[5]]),x]","-x-e^2 \log (x)","-x-e^2 \log (x \log (5))+9",1,"-x - E^2*Log[x]","A",1
9740,1,43,28,0.1726984,"\int \frac{32 x^2+24 x^3-8 x^4+\left(-8 x+7 x^2+3 x^3-2 x^4\right) \log \left(1-2 x+x^2\right) \log \left(\log ^4\left(1-2 x+x^2\right)\right)}{\left(-5-5 x+5 x^2+5 x^3\right) \log \left(1-2 x+x^2\right)} \, dx","Integrate[(32*x^2 + 24*x^3 - 8*x^4 + (-8*x + 7*x^2 + 3*x^3 - 2*x^4)*Log[1 - 2*x + x^2]*Log[Log[1 - 2*x + x^2]^4])/((-5 - 5*x + 5*x^2 + 5*x^3)*Log[1 - 2*x + x^2]),x]","\frac{1}{5} \left(-\frac{\left(x^3-4 x^2-5 x-5\right) \log \left(\log ^4\left((x-1)^2\right)\right)}{x+1}-20 \log \left(\log \left((x-1)^2\right)\right)\right)","\frac{(4-x) x^2 \log \left(\log ^4\left((1-x)^2\right)\right)}{5 (x+1)}",1,"(-20*Log[Log[(-1 + x)^2]] - ((-5 - 5*x - 4*x^2 + x^3)*Log[Log[(-1 + x)^2]^4])/(1 + x))/5","A",1
9741,1,23,26,0.2941582,"\int \frac{2+e^x (3-x)+\left(-120-120 x+30 x^2\right) \log (5)}{4+e^{2 x}+\left(-240 x-120 x^2\right) \log (5)+\left(3600 x^2+3600 x^3+900 x^4\right) \log ^2(5)+e^x \left(4+\left(-120 x-60 x^2\right) \log (5)\right)} \, dx","Integrate[(2 + E^x*(3 - x) + (-120 - 120*x + 30*x^2)*Log[5])/(4 + E^(2*x) + (-240*x - 120*x^2)*Log[5] + (3600*x^2 + 3600*x^3 + 900*x^4)*Log[5]^2 + E^x*(4 + (-120*x - 60*x^2)*Log[5])),x]","\frac{x-2}{-30 x^2 \log (5)+e^x-60 x \log (5)+2}","\frac{2-x}{30 \left(x^2+2 x\right) \log (5)-e^x-2}",1,"(-2 + x)/(2 + E^x - 60*x*Log[5] - 30*x^2*Log[5])","A",1
9742,1,31,26,0.0640904,"\int \frac{32+32 x+8 x^2+e^4 (-8-5 x) \log (4)+\left(8+8 x+2 x^2+e^4 (-2-x) \log (4)\right) \log \left(\frac{-20-10 x+5 e^4 \log (4)}{4+2 x}\right)}{-8 x^2-8 x^3-2 x^4+e^4 \left(2 x^2+x^3\right) \log (4)} \, dx","Integrate[(32 + 32*x + 8*x^2 + E^4*(-8 - 5*x)*Log[4] + (8 + 8*x + 2*x^2 + E^4*(-2 - x)*Log[4])*Log[(-20 - 10*x + 5*E^4*Log[4])/(4 + 2*x)])/(-8*x^2 - 8*x^3 - 2*x^4 + E^4*(2*x^2 + x^3)*Log[4]),x]","\frac{4}{x}+\frac{\log \left(\frac{5 \left(-2 x-4+e^4 \log (4)\right)}{2 (x+2)}\right)}{x}","\frac{-2 x+\log \left(\frac{5 e^4 \log (4)}{2 x+4}-5\right)+4}{x}",1,"4/x + Log[(5*(-4 - 2*x + E^4*Log[4]))/(2*(2 + x))]/x","A",1
9743,1,26,22,0.0233556,"\int \frac{6 e^{2 e^4}+6 x-3 e^{2 e^4} \log \left(x^2\right)}{x^2 \log (8)} \, dx","Integrate[(6*E^(2*E^4) + 6*x - 3*E^(2*E^4)*Log[x^2])/(x^2*Log[8]),x]","\frac{\frac{3 e^{2 e^4} \log \left(x^2\right)}{x}+6 \log (x)}{\log (8)}","\frac{3 \left(x+e^{2 e^4}\right) \log \left(x^2\right)}{x \log (8)}",1,"(6*Log[x] + (3*E^(2*E^4)*Log[x^2])/x)/Log[8]","A",1
9744,1,28,25,0.1241223,"\int \frac{\left(6-30 x+5 x^2\right) \log (x)+\left(150 x^2-25 x^3+\left(30 x-5 x^2\right) \log \left(\frac{6-x}{x}\right)\right) \log ^2(x)+\left(30 x-5 x^2+(6-x) \log \left(\frac{6-x}{x}\right)\right) \log \left(5 x+\log \left(\frac{6-x}{x}\right)\right)}{\left(150 x^3-25 x^4+\left(30 x^2-5 x^3\right) \log \left(\frac{6-x}{x}\right)\right) \log ^2(x)+\left(-30 x^2+5 x^3+\left(-6 x+x^2\right) \log \left(\frac{6-x}{x}\right)\right) \log (x) \log \left(5 x+\log \left(\frac{6-x}{x}\right)\right)} \, dx","Integrate[((6 - 30*x + 5*x^2)*Log[x] + (150*x^2 - 25*x^3 + (30*x - 5*x^2)*Log[(6 - x)/x])*Log[x]^2 + (30*x - 5*x^2 + (6 - x)*Log[(6 - x)/x])*Log[5*x + Log[(6 - x)/x]])/((150*x^3 - 25*x^4 + (30*x^2 - 5*x^3)*Log[(6 - x)/x])*Log[x]^2 + (-30*x^2 + 5*x^3 + (-6*x + x^2)*Log[(6 - x)/x])*Log[x]*Log[5*x + Log[(6 - x)/x]]),x]","\log \left(5 x \log (x)-\log \left(5 x+\log \left(\frac{6}{x}-1\right)\right)\right)-\log (\log (x))","\log \left(\frac{\log \left(5 x+\log \left(\frac{6-x}{x}\right)\right)}{\log (x)}-5 x\right)",1,"-Log[Log[x]] + Log[5*x*Log[x] - Log[5*x + Log[-1 + 6/x]]]","A",1
9745,1,32,25,0.1436142,"\int \frac{-90 x^2+36 x^3-50 x^5+20 x^6-2 x^7+e^{-5+x} \left(90 x+72 x^2-36 x^3+50 x^5-20 x^6+2 x^7\right)+\left(90-100 x^3+40 x^4-4 x^5+e^{-5+x} \left(-90+100 x^3-40 x^4+4 x^5\right)\right) \log \left(-1+e^{-5+x}\right)+\left(-50 x+20 x^2-2 x^3+e^{-5+x} \left(50 x-20 x^2+2 x^3\right)\right) \log ^2\left(-1+e^{-5+x}\right)}{-25 x^4+10 x^5-x^6+e^{-5+x} \left(25 x^4-10 x^5+x^6\right)+\left(-50 x^2+20 x^3-2 x^4+e^{-5+x} \left(50 x^2-20 x^3+2 x^4\right)\right) \log \left(-1+e^{-5+x}\right)+\left(-25+10 x-x^2+e^{-5+x} \left(25-10 x+x^2\right)\right) \log ^2\left(-1+e^{-5+x}\right)} \, dx","Integrate[(-90*x^2 + 36*x^3 - 50*x^5 + 20*x^6 - 2*x^7 + E^(-5 + x)*(90*x + 72*x^2 - 36*x^3 + 50*x^5 - 20*x^6 + 2*x^7) + (90 - 100*x^3 + 40*x^4 - 4*x^5 + E^(-5 + x)*(-90 + 100*x^3 - 40*x^4 + 4*x^5))*Log[-1 + E^(-5 + x)] + (-50*x + 20*x^2 - 2*x^3 + E^(-5 + x)*(50*x - 20*x^2 + 2*x^3))*Log[-1 + E^(-5 + x)]^2)/(-25*x^4 + 10*x^5 - x^6 + E^(-5 + x)*(25*x^4 - 10*x^5 + x^6) + (-50*x^2 + 20*x^3 - 2*x^4 + E^(-5 + x)*(50*x^2 - 20*x^3 + 2*x^4))*Log[-1 + E^(-5 + x)] + (-25 + 10*x - x^2 + E^(-5 + x)*(25 - 10*x + x^2))*Log[-1 + E^(-5 + x)]^2),x]","2 \left(\frac{x^2}{2}+\frac{9 x}{(x-5) \left(x^2+\log \left(e^{x-5}-1\right)\right)}\right)","x \left(\frac{18}{(x-5) \left(x^2+\log \left(e^{x-5}-1\right)\right)}+x\right)",1,"2*(x^2/2 + (9*x)/((-5 + x)*(x^2 + Log[-1 + E^(-5 + x)])))","A",1
9746,1,27,30,0.2282657,"\int \frac{-192 x^2-208 x^3-56 x^4+\left(-384 x-576 x^2-304 x^3-56 x^4\right) \log \left(\frac{3}{2+x}\right)}{\left(1728+3024 x+1764 x^2+343 x^3\right) \log ^3\left(\frac{3}{2+x}\right)} \, dx","Integrate[(-192*x^2 - 208*x^3 - 56*x^4 + (-384*x - 576*x^2 - 304*x^3 - 56*x^4)*Log[3/(2 + x)])/((1728 + 3024*x + 1764*x^2 + 343*x^3)*Log[3/(2 + x)]^3),x]","-\frac{4 x^2 (x+2)^2}{(7 x+12)^2 \log ^2\left(\frac{3}{x+2}\right)}","4 \left(5-\frac{x^2}{\left(\frac{x}{x+2}+6\right)^2 \log ^2\left(\frac{3}{x+2}\right)}\right)",1,"(-4*x^2*(2 + x)^2)/((12 + 7*x)^2*Log[3/(2 + x)]^2)","A",1
9747,1,30,27,0.1862614,"\int \frac{90 x+45 x^2-60 x^4+e^x \left(-15+20 x^2\right)+\left(20 x+5 e^x x^2-15 x^4\right) \log (x)}{-12+16 x^2+4 x^2 \log (x)} \, dx","Integrate[(90*x + 45*x^2 - 60*x^4 + E^x*(-15 + 20*x^2) + (20*x + 5*E^x*x^2 - 15*x^4)*Log[x])/(-12 + 16*x^2 + 4*x^2*Log[x]),x]","\frac{5}{4} \left(-x^3+2 \log \left(-4 x^2+x^2 (-\log (x))+3\right)+e^x\right)","\frac{5}{4} \left(-x^3+\log \left(\left(3-x^2 (\log (x)+4)\right)^2\right)+e^x\right)",1,"(5*(E^x - x^3 + 2*Log[3 - 4*x^2 - x^2*Log[x]]))/4","A",1
9748,1,56,18,0.0777705,"\int \frac{234 x+156 e^4 x+26 e^8 x+\left(1725+234 x+156 e^4 x+26 e^8 x\right) \log \left(\frac{-1725-234 x-156 e^4 x-26 e^8 x}{621+414 e^4+69 e^8}\right)}{1725+234 x+156 e^4 x+26 e^8 x} \, dx","Integrate[(234*x + 156*E^4*x + 26*E^8*x + (1725 + 234*x + 156*E^4*x + 26*E^8*x)*Log[(-1725 - 234*x - 156*E^4*x - 26*E^8*x)/(621 + 414*E^4 + 69*E^8)])/(1725 + 234*x + 156*E^4*x + 26*E^8*x),x]","\frac{\left(26 \left(3+e^4\right)^2 x+1725\right) \log \left(-\frac{26 x}{69}-\frac{25}{\left(3+e^4\right)^2}\right)-1725 \log \left(26 \left(3+e^4\right)^2 x+1725\right)}{26 \left(3+e^4\right)^2}","x \log \left(-\frac{26 x}{69}-\frac{25}{\left(3+e^4\right)^2}\right)",1,"((1725 + 26*(3 + E^4)^2*x)*Log[-25/(3 + E^4)^2 - (26*x)/69] - 1725*Log[1725 + 26*(3 + E^4)^2*x])/(26*(3 + E^4)^2)","B",1
9749,0,0,25,0.5799822,"\int \frac{-50 x-20 e^4 x-2 e^8 x+\left(-20 x-4 e^4 x\right) \log (x)-2 x \log ^2(x)+e^{\frac{x^3+x^2 \log (4)}{5+e^4+\log (x)}} \left(25+e^8+14 x^3+e^4 \left(10+3 x^3\right)+\left(9 x^2+2 e^4 x^2\right) \log (4)+\left(10+2 e^4+3 x^3+2 x^2 \log (4)\right) \log (x)+\log ^2(x)\right)}{25+10 e^4+e^8+\left(10+2 e^4\right) \log (x)+\log ^2(x)} \, dx","Integrate[(-50*x - 20*E^4*x - 2*E^8*x + (-20*x - 4*E^4*x)*Log[x] - 2*x*Log[x]^2 + E^((x^3 + x^2*Log[4])/(5 + E^4 + Log[x]))*(25 + E^8 + 14*x^3 + E^4*(10 + 3*x^3) + (9*x^2 + 2*E^4*x^2)*Log[4] + (10 + 2*E^4 + 3*x^3 + 2*x^2*Log[4])*Log[x] + Log[x]^2))/(25 + 10*E^4 + E^8 + (10 + 2*E^4)*Log[x] + Log[x]^2),x]","\int \frac{-50 x-20 e^4 x-2 e^8 x+\left(-20 x-4 e^4 x\right) \log (x)-2 x \log ^2(x)+e^{\frac{x^3+x^2 \log (4)}{5+e^4+\log (x)}} \left(25+e^8+14 x^3+e^4 \left(10+3 x^3\right)+\left(9 x^2+2 e^4 x^2\right) \log (4)+\left(10+2 e^4+3 x^3+2 x^2 \log (4)\right) \log (x)+\log ^2(x)\right)}{25+10 e^4+e^8+\left(10+2 e^4\right) \log (x)+\log ^2(x)} \, dx","x \left(e^{\frac{x^2 (x+\log (4))}{\log (x)+e^4+5}}-x\right)",1,"Integrate[(-50*x - 20*E^4*x - 2*E^8*x + (-20*x - 4*E^4*x)*Log[x] - 2*x*Log[x]^2 + E^((x^3 + x^2*Log[4])/(5 + E^4 + Log[x]))*(25 + E^8 + 14*x^3 + E^4*(10 + 3*x^3) + (9*x^2 + 2*E^4*x^2)*Log[4] + (10 + 2*E^4 + 3*x^3 + 2*x^2*Log[4])*Log[x] + Log[x]^2))/(25 + 10*E^4 + E^8 + (10 + 2*E^4)*Log[x] + Log[x]^2), x]","F",-1
9750,1,21,24,0.2556733,"\int \frac{e^{-\frac{111+160 x+40 x^2}{110+160 x+40 x^2}} (8+4 x) \log (2)}{605+1760 x+1720 x^2+640 x^3+80 x^4} \, dx","Integrate[((8 + 4*x)*Log[2])/(E^((111 + 160*x + 40*x^2)/(110 + 160*x + 40*x^2))*(605 + 1760*x + 1720*x^2 + 640*x^3 + 80*x^4)),x]","e^{-\frac{1}{40 x^2+160 x+110}-1} \log (2)","e^{-\frac{1}{10 \left((2 x+4)^2-5\right)}-1} \log (2)+4",1,"E^(-1 - (110 + 160*x + 40*x^2)^(-1))*Log[2]","A",1
9751,1,41,38,0.261447,"\int \frac{e^{x^2} \left(16 x^2-8 x^3+x^4\right)+\left(-225+195 x-85 x^2+15 x^3\right) \log \left(-\frac{4}{-3+x}\right)+e^{x^2} \left(360-306 x+110 x^2+74 x^3-78 x^4+22 x^5-2 x^6\right) \log \left(-\frac{4}{-3+x}\right) \log \left(5 \log \left(-\frac{4}{-3+x}\right)\right)+e^{2 x^2} \left(-144+120 x-33 x^2+3 x^3\right) \log \left(-\frac{4}{-3+x}\right) \log ^2\left(5 \log \left(-\frac{4}{-3+x}\right)\right)}{(-225+75 x) \log \left(-\frac{4}{-3+x}\right)+e^{x^2} \left(360-210 x+30 x^2\right) \log \left(-\frac{4}{-3+x}\right) \log \left(5 \log \left(-\frac{4}{-3+x}\right)\right)+e^{2 x^2} \left(-144+120 x-33 x^2+3 x^3\right) \log \left(-\frac{4}{-3+x}\right) \log ^2\left(5 \log \left(-\frac{4}{-3+x}\right)\right)} \, dx","Integrate[(E^x^2*(16*x^2 - 8*x^3 + x^4) + (-225 + 195*x - 85*x^2 + 15*x^3)*Log[-4/(-3 + x)] + E^x^2*(360 - 306*x + 110*x^2 + 74*x^3 - 78*x^4 + 22*x^5 - 2*x^6)*Log[-4/(-3 + x)]*Log[5*Log[-4/(-3 + x)]] + E^(2*x^2)*(-144 + 120*x - 33*x^2 + 3*x^3)*Log[-4/(-3 + x)]*Log[5*Log[-4/(-3 + x)]]^2)/((-225 + 75*x)*Log[-4/(-3 + x)] + E^x^2*(360 - 210*x + 30*x^2)*Log[-4/(-3 + x)]*Log[5*Log[-4/(-3 + x)]] + E^(2*x^2)*(-144 + 120*x - 33*x^2 + 3*x^3)*Log[-4/(-3 + x)]*Log[5*Log[-4/(-3 + x)]]^2),x]","\frac{1}{3} \left(\frac{(x-4) x^2}{e^{x^2} (x-4) \log \left(5 \log \left(-\frac{4}{x-3}\right)\right)+5}+3 (x-3)\right)","\frac{x^2}{3 \left(e^{x^2} \log \left(5 \log \left(\frac{4}{3-x}\right)\right)+\frac{5}{x-4}\right)}+x",1,"(3*(-3 + x) + ((-4 + x)*x^2)/(5 + E^x^2*(-4 + x)*Log[5*Log[-4/(-3 + x)]]))/3","A",1
9752,1,15,15,0.5433052,"\int \frac{\left(-2+2 e^{100} x^2\right) \log \left(\frac{1+e^{100} \left(27 x+x^2\right)}{e^{100} x}\right)+\left(1+e^{100} \left(27 x+x^2\right)\right) \log ^2\left(\frac{1+e^{100} \left(27 x+x^2\right)}{e^{100} x}\right)}{1+e^{100} \left(27 x+x^2\right)} \, dx","Integrate[((-2 + 2*E^100*x^2)*Log[(1 + E^100*(27*x + x^2))/(E^100*x)] + (1 + E^100*(27*x + x^2))*Log[(1 + E^100*(27*x + x^2))/(E^100*x)]^2)/(1 + E^100*(27*x + x^2)),x]","x \log ^2\left(x+\frac{1}{e^{100} x}+27\right)","x \log ^2\left(x+\frac{1}{e^{100} x}+27\right)",1,"x*Log[27 + 1/(E^100*x) + x]^2","A",1
9753,1,29,23,0.0212423,"\int \frac{x+(16+x) \log (-16-x)}{(16+x) \log ^2\left(\frac{1}{25} e^{\frac{8}{\log (3)}}\right)} \, dx","Integrate[(x + (16 + x)*Log[-16 - x])/((16 + x)*Log[E^(8/Log[3])/25]^2),x]","\frac{(x+16) \log (-x-16)-16 \log (x+16)}{\left(\log (25)-\frac{8}{\log (3)}\right)^2}","\frac{x \log (-x-16)}{\log ^2\left(\frac{1}{25} e^{\frac{8}{\log (3)}}\right)}",1,"((16 + x)*Log[-16 - x] - 16*Log[16 + x])/(-8/Log[3] + Log[25])^2","A",1
9754,1,20,20,0.0158143,"\int \frac{-e^{-6+x} x^2+2 e^x x^2+5 \log (2)}{x^2} \, dx","Integrate[(-(E^(-6 + x)*x^2) + 2*E^x*x^2 + 5*Log[2])/x^2,x]","-e^{x-6}+2 e^x-\frac{\log (32)}{x}","-e^{x-6}+2 e^x-\frac{5 \log (2)}{x}",1,"-E^(-6 + x) + 2*E^x - Log[32]/x","A",1
9755,1,58,36,0.2180433,"\int \frac{40 x+e^{e^{5/x}+x} \left(-20 e^{5/x}+8 x+4 x^2\right)+e^{25 x^2-50 x^3+25 x^4} \left(-4-200 x^2+600 x^3-400 x^4\right)}{e^{50 x^2-100 x^3+50 x^4} x^2-10 e^{25 x^2-50 x^3+25 x^4} x^3+25 x^4+e^{2 e^{5/x}+2 x} x^4+e^{e^{5/x}+x} \left(-2 e^{25 x^2-50 x^3+25 x^4} x^3+10 x^4\right)} \, dx","Integrate[(40*x + E^(E^(5/x) + x)*(-20*E^(5/x) + 8*x + 4*x^2) + E^(25*x^2 - 50*x^3 + 25*x^4)*(-4 - 200*x^2 + 600*x^3 - 400*x^4))/(E^(50*x^2 - 100*x^3 + 50*x^4)*x^2 - 10*E^(25*x^2 - 50*x^3 + 25*x^4)*x^3 + 25*x^4 + E^(2*E^(5/x) + 2*x)*x^4 + E^(E^(5/x) + x)*(-2*E^(25*x^2 - 50*x^3 + 25*x^4)*x^3 + 10*x^4)),x]","-\frac{4 e^{50 x^3}}{x \left(5 e^{50 x^3} x+e^{50 x^3+x+e^{5/x}} x-e^{25 x^4+25 x^2}\right)}","\frac{4}{x \left(e^{25 (x-1)^2 x^2}-\left(e^{x+e^{5/x}}+5\right) x\right)}",1,"(-4*E^(50*x^3))/(x*(-E^(25*x^2 + 25*x^4) + 5*E^(50*x^3)*x + E^(E^(5/x) + x + 50*x^3)*x))","A",1
9756,1,7,25,0.0007555,"\int \frac{12+x^2}{x^2} \, dx","Integrate[(12 + x^2)/x^2,x]","x-\frac{12}{x}","x-\frac{x+2 (x+4)+4}{x}-3-\frac{e^3}{\log (2)}",1,"-12/x + x","A",1
9757,1,44,36,0.0093477,"\int \frac{-48+e^3 \left(-175 x^6+240 x^7+99 x^8-120 x^9-44 x^{10}\right)}{80 e^3} \, dx","Integrate[(-48 + E^3*(-175*x^6 + 240*x^7 + 99*x^8 - 120*x^9 - 44*x^10))/(80*E^3),x]","-\frac{x^{11}}{20}-\frac{3 x^{10}}{20}+\frac{11 x^9}{80}+\frac{3 x^8}{8}-\frac{5 x^7}{16}-\frac{3 x}{5 e^3}","3-\frac{1}{5} x \left(\frac{1}{16} (2 x+5)^2 \left(x^2-x\right)^2 x^4+\frac{3}{e^3}\right)",1,"(-3*x)/(5*E^3) - (5*x^7)/16 + (3*x^8)/8 + (11*x^9)/80 - (3*x^10)/20 - x^11/20","A",1
9758,1,10,18,0.0344114,"\int \frac{-24-5 x+(-8-2 x) \log (4+x)}{4 x^3+x^4} \, dx","Integrate[(-24 - 5*x + (-8 - 2*x)*Log[4 + x])/(4*x^3 + x^4),x]","\frac{\log (x+4)+3}{x^2}","\frac{\log (x+4)+3}{x^2}+e^{2 e^5}",1,"(3 + Log[4 + x])/x^2","A",1
9759,1,22,18,0.049332,"\int \frac{1+\left(2 x+12 x^2+16 x^3+5 x^4\right) \log (x)+\log (x) \log (\log (x))}{\log (x)} \, dx","Integrate[(1 + (2*x + 12*x^2 + 16*x^3 + 5*x^4)*Log[x] + Log[x]*Log[Log[x]])/Log[x],x]","x^5+4 x^4+4 x^3+x^2+x \log (\log (x))","x \left(x^2 (x+2)^2+x+\log (\log (x))\right)-6",1,"x^2 + 4*x^3 + 4*x^4 + x^5 + x*Log[Log[x]]","A",1
9760,1,92,26,0.4317269,"\int \frac{-1020+6124 x-11879 x^2+8384 x^3-2724 x^4+420 x^5-25 x^6+e^{-\frac{12 x}{-2+5 x}} \left(-64+320 x-400 x^2\right)+e^{-\frac{9 x}{-2+5 x}} \left(512-2688 x+3840 x^2-800 x^3\right)+e^{-\frac{6 x}{-2+5 x}} \left(-1536+8448 x-13536 x^2+5280 x^3-600 x^4\right)+e^{-\frac{3 x}{-2+5 x}} \left(2048-11776 x+20864 x^2-11552 x^3+2560 x^4-200 x^5\right)+\left(-1024 x+384 e^{-\frac{12 x}{-2+5 x}} x+5888 x^2-10432 x^3+5776 x^4-1280 x^5+100 x^6+e^{-\frac{9 x}{-2+5 x}} \left(-2176 x-64 x^2+800 x^3\right)+e^{-\frac{6 x}{-2+5 x}} \left(3840 x+1728 x^2-5472 x^3+1200 x^4\right)+e^{-\frac{3 x}{-2+5 x}} \left(-1536 x-6144 x^2+12960 x^3-5232 x^4+600 x^5\right)\right) \log (x)}{\left(4 x-20 x^2+25 x^3\right) \log ^2(x)} \, dx","Integrate[(-1020 + 6124*x - 11879*x^2 + 8384*x^3 - 2724*x^4 + 420*x^5 - 25*x^6 + (-64 + 320*x - 400*x^2)/E^((12*x)/(-2 + 5*x)) + (512 - 2688*x + 3840*x^2 - 800*x^3)/E^((9*x)/(-2 + 5*x)) + (-1536 + 8448*x - 13536*x^2 + 5280*x^3 - 600*x^4)/E^((6*x)/(-2 + 5*x)) + (2048 - 11776*x + 20864*x^2 - 11552*x^3 + 2560*x^4 - 200*x^5)/E^((3*x)/(-2 + 5*x)) + (-1024*x + (384*x)/E^((12*x)/(-2 + 5*x)) + 5888*x^2 - 10432*x^3 + 5776*x^4 - 1280*x^5 + 100*x^6 + (-2176*x - 64*x^2 + 800*x^3)/E^((9*x)/(-2 + 5*x)) + (3840*x + 1728*x^2 - 5472*x^3 + 1200*x^4)/E^((6*x)/(-2 + 5*x)) + (-1536*x - 6144*x^2 + 12960*x^3 - 5232*x^4 + 600*x^5)/E^((3*x)/(-2 + 5*x)))*Log[x])/((4*x - 20*x^2 + 25*x^3)*Log[x]^2),x]","\frac{x^4-16 x^3+96 x^2-256 x+16 e^{\frac{12 x}{2-5 x}}+8 e^{\frac{3 x}{2-5 x}} (x-4)^3+24 e^{\frac{6 x}{2-5 x}} (x-4)^2+32 e^{\frac{9 x}{2-5 x}} (x-4)+255}{\log (x)}","\frac{\left(x+2 e^{\frac{3 x}{2-5 x}}-4\right)^4-1}{\log (x)}",1,"(255 + 16*E^((12*x)/(2 - 5*x)) + 32*E^((9*x)/(2 - 5*x))*(-4 + x) + 24*E^((6*x)/(2 - 5*x))*(-4 + x)^2 + 8*E^((3*x)/(2 - 5*x))*(-4 + x)^3 - 256*x + 96*x^2 - 16*x^3 + x^4)/Log[x]","B",1
9761,1,26,25,0.0972628,"\int \frac{72 x^2 \log (x)+e^2 \left(400 x+80 x^2\right) \log ^2(x)+\left(-360 x-72 x^2+\left(720 x+144 x^2\right) \log (x)\right) \log (5+x)}{(25+5 x) \log ^2(x)} \, dx","Integrate[(72*x^2*Log[x] + E^2*(400*x + 80*x^2)*Log[x]^2 + (-360*x - 72*x^2 + (720*x + 144*x^2)*Log[x])*Log[5 + x])/((25 + 5*x)*Log[x]^2),x]","\frac{8}{5} \left(5 e^2 x^2+\frac{9 x^2 \log (x+5)}{\log (x)}\right)","8 \left(e^2 x^2+\frac{9 x^2 \log (x+5)}{5 \log (x)}\right)",1,"(8*(5*E^2*x^2 + (9*x^2*Log[5 + x])/Log[x]))/5","A",1
9762,1,37,33,0.0708989,"\int \frac{-2000-600 x-80 x^2+12 x^3+e^2 \left(-4500-1420 x-84 x^2+8 x^3\right)+\left(2000+700 x+40 x^2-4 x^3\right) \log \left(\frac{1}{4} (-20+x)\right)}{-500-2375 x-3160 x^2-796 x^3-32 x^4+4 x^5+\left(1000+2550 x+750 x^2+36 x^3-4 x^4\right) \log \left(\frac{1}{4} (-20+x)\right)+\left(-500-175 x-10 x^2+x^3\right) \log ^2\left(\frac{1}{4} (-20+x)\right)} \, dx","Integrate[(-2000 - 600*x - 80*x^2 + 12*x^3 + E^2*(-4500 - 1420*x - 84*x^2 + 8*x^3) + (2000 + 700*x + 40*x^2 - 4*x^3)*Log[(-20 + x)/4])/(-500 - 2375*x - 3160*x^2 - 796*x^3 - 32*x^4 + 4*x^5 + (1000 + 2550*x + 750*x^2 + 36*x^3 - 4*x^4)*Log[(-20 + x)/4] + (-500 - 175*x - 10*x^2 + x^3)*Log[(-20 + x)/4]^2),x]","\frac{4 (x+5) \left(x-e^2\right)}{2 x^2+12 x-(x+5) \log \left(\frac{x}{4}-5\right)+5}","\frac{4 \left(x-e^2\right)}{2 x-\frac{5}{x+5}-\log \left(\frac{x}{4}-5\right)+2}",1,"(4*(5 + x)*(-E^2 + x))/(5 + 12*x + 2*x^2 - (5 + x)*Log[-5 + x/4])","A",1
9763,1,34,24,0.0036529,"\int \frac{1}{5} \left(15+e^5 \left(-4 x-9 x^2+4 x^3\right)\right) \, dx","Integrate[(15 + E^5*(-4*x - 9*x^2 + 4*x^3))/5,x]","\frac{e^5 x^4}{5}-\frac{3 e^5 x^3}{5}-\frac{2 e^5 x^2}{5}+3 x","3 x-\frac{1}{5} e^5 \left(-x+\frac{2}{x}+3\right) x^3",1,"3*x - (2*E^5*x^2)/5 - (3*E^5*x^3)/5 + (E^5*x^4)/5","A",1
9764,1,16,22,0.0188308,"\int \frac{1+x+e^{1+e^2-x} x}{x} \, dx","Integrate[(1 + x + E^(1 + E^2 - x)*x)/x,x]","x-e^{-x+e^2+1}+\log (x)","x-e^{-x+e^2+1}+\log (x)+e^{e^4}-3",1,"-E^(1 + E^2 - x) + x + Log[x]","A",1
9765,1,32,31,0.0868599,"\int \frac{-400+2000 x-600 x^2-400 x^3+e^{2 x} \left(80 x-40 x^2-80 x^3\right)+\left(400+400 x^2+160 e^{2 x} x^2\right) \log (x)}{25 x^2-250 x^3+575 x^4+e^{4 x} x^4+250 x^5+25 x^6+e^{2 x} \left(-10 x^3+50 x^4+10 x^5\right)+\left(-100 x+1000 x^2-2300 x^3-4 e^{4 x} x^3-1000 x^4-100 x^5+e^{2 x} \left(40 x^2-200 x^3-40 x^4\right)\right) \log (x)+\left(100-1000 x+2300 x^2+4 e^{4 x} x^2+1000 x^3+100 x^4+e^{2 x} \left(-40 x+200 x^2+40 x^3\right)\right) \log ^2(x)} \, dx","Integrate[(-400 + 2000*x - 600*x^2 - 400*x^3 + E^(2*x)*(80*x - 40*x^2 - 80*x^3) + (400 + 400*x^2 + 160*E^(2*x)*x^2)*Log[x])/(25*x^2 - 250*x^3 + 575*x^4 + E^(4*x)*x^4 + 250*x^5 + 25*x^6 + E^(2*x)*(-10*x^3 + 50*x^4 + 10*x^5) + (-100*x + 1000*x^2 - 2300*x^3 - 4*E^(4*x)*x^3 - 1000*x^4 - 100*x^5 + E^(2*x)*(40*x^2 - 200*x^3 - 40*x^4))*Log[x] + (100 - 1000*x + 2300*x^2 + 4*E^(4*x)*x^2 + 1000*x^3 + 100*x^4 + E^(2*x)*(-40*x + 200*x^2 + 40*x^3))*Log[x]^2),x]","-\frac{40 x}{\left(5 x^2+e^{2 x} x+25 x-5\right) (2 \log (x)-x)}","\frac{4}{\left(-x-\frac{e^{2 x}}{5}+\frac{1}{x}-5\right) \left(\log (x)-\frac{x}{2}\right)}",1,"(-40*x)/((-5 + 25*x + E^(2*x)*x + 5*x^2)*(-x + 2*Log[x]))","A",1
9766,1,20,15,0.0016886,"\int \frac{-5+2 x+5 \log (4)}{5 \log (4)} \, dx","Integrate[(-5 + 2*x + 5*Log[4])/(5*Log[4]),x]","\frac{x^2-5 x+5 x \log (4)}{5 \log (4)}","x+\frac{(x-5) x}{5 \log (4)}+1",1,"(-5*x + x^2 + 5*x*Log[4])/(5*Log[4])","A",1
9767,1,23,20,0.1294512,"\int \frac{2040 x+1008 x^2+144 x^3+16 x^4+\left(7225+2040 x+504 x^2+48 x^3+4 x^4\right) \log \left(\frac{1}{4} \left(7225+2040 x+504 x^2+48 x^3+4 x^4\right)\right)}{7225+2040 x+504 x^2+48 x^3+4 x^4} \, dx","Integrate[(2040*x + 1008*x^2 + 144*x^3 + 16*x^4 + (7225 + 2040*x + 504*x^2 + 48*x^3 + 4*x^4)*Log[(7225 + 2040*x + 504*x^2 + 48*x^3 + 4*x^4)/4])/(7225 + 2040*x + 504*x^2 + 48*x^3 + 4*x^4),x]","x \log \left(x^4+12 x^3+126 x^2+510 x+\frac{7225}{4}\right)","x \log \left(5 x^2+\left((x+3)^2+\frac{67}{2}\right)^2\right)",1,"x*Log[7225/4 + 510*x + 126*x^2 + 12*x^3 + x^4]","A",1
9768,1,59,35,0.4369423,"\int \frac{-4 x-e^{-32 x-16 x^2+4 x^3} x+e^{-16 x-8 x^2+2 x^3} \left(-4 x-48 x^2-32 x^3+34 x^4-6 x^5\right)+\left(-12+e^{-32 x-16 x^2+4 x^3} (-3+x)+4 x+e^{-16 x-8 x^2+2 x^3} (-12+4 x)\right) \log (3-x)}{-3 x^2+x^3+\left(12 x-4 x^2+e^{-16 x-8 x^2+2 x^3} \left(6 x-2 x^2\right)\right) \log (3-x)+\left(-12+e^{-32 x-16 x^2+4 x^3} (-3+x)+4 x+e^{-16 x-8 x^2+2 x^3} (-12+4 x)\right) \log ^2(3-x)} \, dx","Integrate[(-4*x - E^(-32*x - 16*x^2 + 4*x^3)*x + E^(-16*x - 8*x^2 + 2*x^3)*(-4*x - 48*x^2 - 32*x^3 + 34*x^4 - 6*x^5) + (-12 + E^(-32*x - 16*x^2 + 4*x^3)*(-3 + x) + 4*x + E^(-16*x - 8*x^2 + 2*x^3)*(-12 + 4*x))*Log[3 - x])/(-3*x^2 + x^3 + (12*x - 4*x^2 + E^(-16*x - 8*x^2 + 2*x^3)*(6*x - 2*x^2))*Log[3 - x] + (-12 + E^(-32*x - 16*x^2 + 4*x^3)*(-3 + x) + 4*x + E^(-16*x - 8*x^2 + 2*x^3)*(-12 + 4*x))*Log[3 - x]^2),x]","\frac{\left(e^{2 x^3}+2 e^{8 x (x+2)}\right) x}{\left(e^{2 x^3}+2 e^{8 x (x+2)}\right) \log (3-x)-e^{8 x (x+2)} x}","\frac{x}{\log (3-x)-\frac{x}{e^{8 x \left(\frac{x^2}{4}-x-2\right)}+2}}",1,"((E^(2*x^3) + 2*E^(8*x*(2 + x)))*x)/(-(E^(8*x*(2 + x))*x) + (E^(2*x^3) + 2*E^(8*x*(2 + x)))*Log[3 - x])","A",1
9769,1,14,15,0.117556,"\int \frac{4+x-x \log (x)-x \log ^2(x)}{\left(4 x+x^2\right) \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(4 + x - x*Log[x] - x*Log[x]^2)/((4*x + x^2)*Log[x] + x^2*Log[x]^2),x]","\log (\log (x))-\log (x+x \log (x)+4)","\log \left(\frac{1}{x+\frac{x+4}{\log (x)}}\right)+1",1,"Log[Log[x]] - Log[4 + x + x*Log[x]]","A",1
9770,1,26,22,0.2288914,"\int \frac{75+e^x (-28224-39984 x)+460992 e^{2 x} x^2}{576-240 x+25 x^2+153664 e^{2 x} x^4+e^x \left(18816 x^2-3920 x^3\right)} \, dx","Integrate[(75 + E^x*(-28224 - 39984*x) + 460992*E^(2*x)*x^2)/(576 - 240*x + 25*x^2 + 153664*E^(2*x)*x^4 + E^x*(18816*x^2 - 3920*x^3)),x]","\frac{72}{x \left(392 e^x x^2-5 x+24\right)}-\frac{3}{x}","6-\frac{3}{x+\frac{3}{49 e^x x-\frac{5}{8}}}",1,"-3/x + 72/(x*(24 - 5*x + 392*E^x*x^2))","A",1
9771,1,36,25,0.3551491,"\int \frac{-2560000 x^2-96000 x^3-20100 x^4-360 x^5-36 x^6+e^x \left(-240000+231000 x+1800 x^2+900 x^3\right)}{640000 x^2+24000 x^3+5025 x^4+90 x^5+9 x^6} \, dx","Integrate[(-2560000*x^2 - 96000*x^3 - 20100*x^4 - 360*x^5 - 36*x^6 + E^x*(-240000 + 231000*x + 1800*x^2 + 900*x^3))/(640000*x^2 + 24000*x^3 + 5025*x^4 + 90*x^5 + 9*x^6),x]","300 e^x \left(\frac{1}{800 x}-\frac{3 (x+5)}{800 \left(3 x^2+15 x+800\right)}\right)-4 x","\frac{e^x}{x \left(\frac{1}{100} x (x+5)+\frac{8}{3}\right)}-4 x",1,"-4*x + 300*E^x*(1/(800*x) - (3*(5 + x))/(800*(800 + 15*x + 3*x^2)))","A",1
9772,1,83,20,0.0070702,"\int \left(1650+838 x+108 x^2+4 x^3+e^4 (6+2 x)+e^3 \left(30+2 e^2+2 x\right)+e^2 \left(198+84 x+6 x^2\right)\right) \, dx","Integrate[1650 + 838*x + 108*x^2 + 4*x^3 + E^4*(6 + 2*x) + E^3*(30 + 2*E^2 + 2*x) + E^2*(198 + 84*x + 6*x^2),x]","2 \left(\frac{x^4}{2}+e^2 x^3+18 x^3+\frac{e^4 x^2}{2}+\frac{e^3 x^2}{2}+21 e^2 x^2+\frac{419 x^2}{2}+e^5 x+3 e^4 x+15 e^3 x+99 e^2 x+825 x\right)","\left((x+3)^2+e^3\right) \left(\left(x+e^2+15\right)^2+5\right)",1,"2*(825*x + 99*E^2*x + 15*E^3*x + 3*E^4*x + E^5*x + (419*x^2)/2 + 21*E^2*x^2 + (E^3*x^2)/2 + (E^4*x^2)/2 + 18*x^3 + E^2*x^3 + x^4/2)","B",1
9773,1,24,25,0.1678942,"\int \frac{-256+32 x+255 x^2-32 x^3+x^4+e^{-10+x} \left(32 x^2-17 x^4+x^5\right)+\left(256-32 x+x^2\right) \log (x)}{256 x^2-32 x^3+x^4} \, dx","Integrate[(-256 + 32*x + 255*x^2 - 32*x^3 + x^4 + E^(-10 + x)*(32*x^2 - 17*x^4 + x^5) + (256 - 32*x + x^2)*Log[x])/(256*x^2 - 32*x^3 + x^4),x]","\frac{e^{x-10} (x-2) x}{x-16}+x-\frac{\log (x)}{x}","\frac{e^{x-10} (x-2) x}{x-16}+x-\frac{\log (x)}{x}-2",1,"x + (E^(-10 + x)*(-2 + x)*x)/(-16 + x) - Log[x]/x","A",1
9774,1,98,33,0.1930795,"\int \frac{e^8 (-32-24 x)+2 x^4+8 x^6+10 x^7+6 x^8+14 x^9+8 x^{10}+e^4 \left(-6 x^3-16 x^4-42 x^5-24 x^6\right)+e^{2 x} \left(2 x^4+8 x^5+8 x^6+2 x^7\right)+e^x \left(-4 x^4-8 x^5-10 x^6-22 x^7-16 x^8-2 x^9+e^4 \left(22 x^3+26 x^4+6 x^5\right)\right)}{x^3} \, dx","Integrate[(E^8*(-32 - 24*x) + 2*x^4 + 8*x^6 + 10*x^7 + 6*x^8 + 14*x^9 + 8*x^10 + E^4*(-6*x^3 - 16*x^4 - 42*x^5 - 24*x^6) + E^(2*x)*(2*x^4 + 8*x^5 + 8*x^6 + 2*x^7) + E^x*(-4*x^4 - 8*x^5 - 10*x^6 - 22*x^7 - 16*x^8 - 2*x^9 + E^4*(22*x^3 + 26*x^4 + 6*x^5)))/x^3,x]","e^{2 x} (x+1)^2 x^2+2 e^{x+4} \left(3 x^2+7 x+4\right)+\frac{8 e^8 (3 x+2)}{x^2}+\left(x^4+x^3+x\right)^2-2 e^4 \left(3 x^3+7 x^2+4 x+3\right) x-2 e^x \left(x^4+2 x^3+x^2+x+1\right) x^2","\left(-\left(x^2-e^x\right) \left(x^2+x\right)+e^4 \left(\frac{4}{x}+3\right)-x\right)^2",1,"E^(2*x)*x^2*(1 + x)^2 + (8*E^8*(2 + 3*x))/x^2 + 2*E^(4 + x)*(4 + 7*x + 3*x^2) - 2*E^4*x*(3 + 4*x + 7*x^2 + 3*x^3) + (x + x^3 + x^4)^2 - 2*E^x*x^2*(1 + x + x^2 + 2*x^3 + x^4)","B",1
9775,1,29,25,1.252308,"\int \frac{\left(e^{10}-e^5 x\right) \log ^2\left(e^{10}-2 e^5 x+x^2\right)+e^{\frac{4 x^3}{e^5 \log \left(e^{10}-2 e^5 x+x^2\right)}} \left(8 x^3+\left(12 e^5 x^2-12 x^3\right) \log \left(e^{10}-2 e^5 x+x^2\right)\right)}{\left(e^{10}-e^5 x\right) \log ^2\left(e^{10}-2 e^5 x+x^2\right)} \, dx","Integrate[((E^10 - E^5*x)*Log[E^10 - 2*E^5*x + x^2]^2 + E^((4*x^3)/(E^5*Log[E^10 - 2*E^5*x + x^2]))*(8*x^3 + (12*E^5*x^2 - 12*x^3)*Log[E^10 - 2*E^5*x + x^2]))/((E^10 - E^5*x)*Log[E^10 - 2*E^5*x + x^2]^2),x]","e^{\frac{4 x^3}{e^5 \log \left(\left(e^5-x\right)^2\right)}}+x-e^5","e^{\frac{4 x^3}{e^5 \log \left(\left(e^5-x\right)^2\right)}}+x+1",1,"-E^5 + E^((4*x^3)/(E^5*Log[(E^5 - x)^2])) + x","A",1
9776,1,46,27,3.1311139,"\int \frac{e^{\frac{e^x}{x^2+x^2 \log \left(\frac{1}{x}\right)}} \left(e^x (90-90 x)+e^x (180-90 x) \log \left(\frac{1}{x}\right)\right)+e^{\frac{2 e^x}{x^2+x^2 \log \left(\frac{1}{x}\right)}} \left(e^x (-50+50 x)+e^x (-100+50 x) \log \left(\frac{1}{x}\right)\right)}{9 x^3+18 x^3 \log \left(\frac{1}{x}\right)+9 x^3 \log ^2\left(\frac{1}{x}\right)} \, dx","Integrate[(E^(E^x/(x^2 + x^2*Log[x^(-1)]))*(E^x*(90 - 90*x) + E^x*(180 - 90*x)*Log[x^(-1)]) + E^((2*E^x)/(x^2 + x^2*Log[x^(-1)]))*(E^x*(-50 + 50*x) + E^x*(-100 + 50*x)*Log[x^(-1)]))/(9*x^3 + 18*x^3*Log[x^(-1)] + 9*x^3*Log[x^(-1)]^2),x]","\frac{10}{9} \left(\frac{5}{2} e^{\frac{2 e^x}{x^2 \left(\log \left(\frac{1}{x}\right)+1\right)}}-9 e^{\frac{e^x}{x^2 \left(\log \left(\frac{1}{x}\right)+1\right)}}\right)","\left(3-\frac{5}{3} e^{\frac{e^x}{x \left(x+x \log \left(\frac{1}{x}\right)\right)}}\right)^2",1,"(10*(-9*E^(E^x/(x^2*(1 + Log[x^(-1)]))) + (5*E^((2*E^x)/(x^2*(1 + Log[x^(-1)]))))/2))/9","A",1
9777,1,30,33,0.7046334,"\int \frac{\exp \left(\frac{x^2+\log \left(\frac{1}{4} \left(-6+4 e^{4+x}+x-4 x^2\right)\right)}{x}\right) \left(x-14 x^2+x^3-4 x^4+e^{4+x} \left(4 x+4 x^2\right)+\left(6-4 e^{4+x}-x+4 x^2\right) \log \left(\frac{1}{4} \left(-6+4 e^{4+x}+x-4 x^2\right)\right)\right)}{-6 x^2+4 e^{4+x} x^2+x^3-4 x^4} \, dx","Integrate[(E^((x^2 + Log[(-6 + 4*E^(4 + x) + x - 4*x^2)/4])/x)*(x - 14*x^2 + x^3 - 4*x^4 + E^(4 + x)*(4*x + 4*x^2) + (6 - 4*E^(4 + x) - x + 4*x^2)*Log[(-6 + 4*E^(4 + x) + x - 4*x^2)/4]))/(-6*x^2 + 4*E^(4 + x)*x^2 + x^3 - 4*x^4),x]","4^{-1/x} e^x \left(-4 x^2+x+4 e^{x+4}-6\right)^{\frac{1}{x}}","\exp \left(x+\frac{\log \left(\frac{1}{4} \left(x-4 x \left(x+\frac{3}{2 x}\right)\right)+e^{x+4}\right)}{x}\right)",1,"(E^x*(-6 + 4*E^(4 + x) + x - 4*x^2)^x^(-1))/4^x^(-1)","A",1
9778,1,16,16,0.0014947,"\int -\frac{4 e^{2 e^{4 e^2}}}{x^3} \, dx","Integrate[(-4*E^(2*E^(4*E^2)))/x^3,x]","\frac{2 e^{2 e^{4 e^2}}}{x^2}","\frac{2 e^{2 e^{4 e^2}}}{x^2}",1,"(2*E^(2*E^(4*E^2)))/x^2","A",1
9779,1,32,31,4.4323504,"\int \frac{2 x^3+\exp \left(\frac{1}{2} \left(-e^{\frac{1}{x^2}+e^x x}+e^{\frac{1}{x^2}} (3+x)\right)\right) \left(e^{\frac{1}{x^2}} \left(-6-2 x+x^3\right)+e^{e^x x} \left(2 e^{\frac{1}{x^2}}+e^{\frac{1}{x^2}+x} \left(-x^3-x^4\right)\right)\right)}{2 x^3} \, dx","Integrate[(2*x^3 + E^((-E^(x^(-2) + E^x*x) + E^x^(-2)*(3 + x))/2)*(E^x^(-2)*(-6 - 2*x + x^3) + E^(E^x*x)*(2*E^x^(-2) + E^(x^(-2) + x)*(-x^3 - x^4))))/(2*x^3),x]","e^{\frac{1}{2} e^{\frac{1}{x^2}} (x+3)-\frac{1}{2} e^{\frac{1}{x^2}+e^x x}}+x","e^{\frac{1}{2} e^{\frac{1}{x^2}} \left(x-e^{e^x x}+3\right)}+x-e^3-3",1,"E^(-1/2*E^(x^(-2) + E^x*x) + (E^x^(-2)*(3 + x))/2) + x","A",1
9780,1,24,24,0.0880449,"\int \frac{-e^{40+e^4-x^2 \log ^2(3 x)}+e^{40+e^4-x^2 \log ^2(3 x)} \left(-2 x^2 \log (x) \log (3 x)-2 x^2 \log (x) \log ^2(3 x)\right) \log (\log (x))}{x \log (x) \log ^2(\log (x))} \, dx","Integrate[(-E^(40 + E^4 - x^2*Log[3*x]^2) + E^(40 + E^4 - x^2*Log[3*x]^2)*(-2*x^2*Log[x]*Log[3*x] - 2*x^2*Log[x]*Log[3*x]^2)*Log[Log[x]])/(x*Log[x]*Log[Log[x]]^2),x]","\frac{e^{-x^2 \log ^2(3 x)+e^4+40}}{\log (\log (x))}","\frac{e^{-x^2 \log ^2(3 x)+e^4+40}}{\log (\log (x))}",1,"E^(40 + E^4 - x^2*Log[3*x]^2)/Log[Log[x]]","A",1
9781,1,15,14,0.053212,"\int \frac{-4+e^{3+x} (-4+2 x)}{x+e^{3+x} x} \, dx","Integrate[(-4 + E^(3 + x)*(-4 + 2*x))/(x + E^(3 + x)*x),x]","2 \left(\log \left(e^{x+3}+1\right)-2 \log (x)\right)","\log \left(\frac{\left(e^{x+3}+1\right)^2}{x^4}\right)",1,"2*(Log[1 + E^(3 + x)] - 2*Log[x])","A",1
9782,1,53,31,0.091942,"\int \frac{-1090000-336000 x+313600 x^2+\left(2360000+336000 x-627200 x^2\right) \log (x)+\left(-1605000-84000 x+470400 x^2\right) \log ^2(x)+\left(425000-156800 x^2\right) \log ^3(x)+\left(-38125+19600 x^2\right) \log ^4(x)}{372490000-601388000 x+363786000 x^2-97717760 x^3+9834496 x^4+\left(-420740000+811336000 x-570189600 x^2+174361600 x^3-19668992 x^4\right) \log (x)+\left(177675000-399414000 x+326539800 x^2-114965760 x^3+14751744 x^4\right) \log ^2(x)+\left(-33245000+85558000 x-80790600 x^2+33053440 x^3-4917248 x^4\right) \log ^3(x)+\left(2325625-6755750 x+7297425 x^2-3473120 x^3+614656 x^4\right) \log ^4(x)} \, dx","Integrate[(-1090000 - 336000*x + 313600*x^2 + (2360000 + 336000*x - 627200*x^2)*Log[x] + (-1605000 - 84000*x + 470400*x^2)*Log[x]^2 + (425000 - 156800*x^2)*Log[x]^3 + (-38125 + 19600*x^2)*Log[x]^4)/(372490000 - 601388000*x + 363786000*x^2 - 97717760*x^3 + 9834496*x^4 + (-420740000 + 811336000*x - 570189600*x^2 + 174361600*x^3 - 19668992*x^4)*Log[x] + (177675000 - 399414000*x + 326539800*x^2 - 114965760*x^3 + 14751744*x^4)*Log[x]^2 + (-33245000 + 85558000*x - 80790600*x^2 + 33053440*x^3 - 4917248*x^4)*Log[x]^3 + (2325625 - 6755750*x + 7297425*x^2 - 3473120*x^3 + 614656*x^4)*Log[x]^4),x]","-\frac{25 x (\log (x)-2)^2}{4 \left(784 x^2-3895 x+4825\right)+\left(784 x^2-2215 x+1525\right) \log ^2(x)-4 \left(784 x^2-3055 x+2725\right) \log (x)}","3-\frac{x}{x+16 \left(\frac{2 (x-5)}{5}+x+\frac{3}{\log (x)-2}\right)^2-3}",1,"(-25*x*(-2 + Log[x])^2)/(4*(4825 - 3895*x + 784*x^2) - 4*(2725 - 3055*x + 784*x^2)*Log[x] + (1525 - 2215*x + 784*x^2)*Log[x]^2)","A",1
9783,1,38,29,1.0329523,"\int \frac{\exp \left(\frac{81+108 e^{2-e^{2 x}} (-1+x)+54 e^{4-2 e^{2 x}} (-1+x)^2+12 e^{6-3 e^{2 x}} (-1+x)^3+e^{8-4 e^{2 x}} (-1+x)^4}{390625+62500 x^2+3750 x^4+100 x^6+x^8}\right) \left(648 x-648 x^2+e^{2-e^{2 x}} (-1+x) \left(2700+864 x-756 x^2+e^{2 x} \left(5400-5400 x+216 x^2-216 x^3\right)\right)+e^{4-2 e^{2 x}} (-1+x)^2 \left(2700+432 x-324 x^2+e^{2 x} \left(5400-5400 x+216 x^2-216 x^3\right)\right)+e^{6-3 e^{2 x}} (-1+x)^3 \left(900+96 x-60 x^2+e^{2 x} \left(1800-1800 x+72 x^2-72 x^3\right)\right)+e^{8-4 e^{2 x}} (-1+x)^4 \left(100+8 x-4 x^2+e^{2 x} \left(200-200 x+8 x^2-8 x^3\right)\right)\right)}{-9765625+9765625 x-1953125 x^2+1953125 x^3-156250 x^4+156250 x^5-6250 x^6+6250 x^7-125 x^8+125 x^9-x^{10}+x^{11}} \, dx","Integrate[(E^((81 + 108*E^(2 - E^(2*x))*(-1 + x) + 54*E^(4 - 2*E^(2*x))*(-1 + x)^2 + 12*E^(6 - 3*E^(2*x))*(-1 + x)^3 + E^(8 - 4*E^(2*x))*(-1 + x)^4)/(390625 + 62500*x^2 + 3750*x^4 + 100*x^6 + x^8))*(648*x - 648*x^2 + E^(2 - E^(2*x))*(-1 + x)*(2700 + 864*x - 756*x^2 + E^(2*x)*(5400 - 5400*x + 216*x^2 - 216*x^3)) + E^(4 - 2*E^(2*x))*(-1 + x)^2*(2700 + 432*x - 324*x^2 + E^(2*x)*(5400 - 5400*x + 216*x^2 - 216*x^3)) + E^(6 - 3*E^(2*x))*(-1 + x)^3*(900 + 96*x - 60*x^2 + E^(2*x)*(1800 - 1800*x + 72*x^2 - 72*x^3)) + E^(8 - 4*E^(2*x))*(-1 + x)^4*(100 + 8*x - 4*x^2 + E^(2*x)*(200 - 200*x + 8*x^2 - 8*x^3))))/(-9765625 + 9765625*x - 1953125*x^2 + 1953125*x^3 - 156250*x^4 + 156250*x^5 - 6250*x^6 + 6250*x^7 - 125*x^8 + 125*x^9 - x^10 + x^11),x]","\exp \left(\frac{e^{-4 e^{2 x}} \left(e^2 (x-1)+3 e^{e^{2 x}}\right)^4}{\left(x^2+25\right)^4}\right)","e^{\frac{\left(e^{2-e^{2 x}} (x-1)+3\right)^4}{\left(x^2+25\right)^4}}",1,"E^((3*E^E^(2*x) + E^2*(-1 + x))^4/(E^(4*E^(2*x))*(25 + x^2)^4))","A",1
9784,1,95,32,0.3194659,"\int \frac{e^{5 x} \left(-45 x+15 x^2+e^x \left(15 x^2-5 x^3\right)\right)+\left(36-24 x+e^x \left(-12 x+8 x^2\right)\right) \log \left(e^{-x} \left(-3+e^x x\right)\right)+\left(-36 x+12 x^2+e^x \left(-12 x+4 x^2\right)\right) \log \left(\frac{1}{3} \left(-3 x+x^2\right)\right)}{9 x-3 x^2+e^x \left(-3 x^2+x^3\right)} \, dx","Integrate[(E^(5*x)*(-45*x + 15*x^2 + E^x*(15*x^2 - 5*x^3)) + (36 - 24*x + E^x*(-12*x + 8*x^2))*Log[(-3 + E^x*x)/E^x] + (-36*x + 12*x^2 + E^x*(-12*x + 4*x^2))*Log[(-3*x + x^2)/3])/(9*x - 3*x^2 + E^x*(-3*x^2 + x^3)),x]","-e^{5 x}-4 x \log \left(\frac{1}{3} (x-3) x\right)+4 \log \left(e^x x-3\right) \log \left(\frac{1}{3} (x-3) x\right)+4 \log (3-x) \left(x+\log \left(x-3 e^{-x}\right)-\log \left(e^x x-3\right)\right)+4 \log (x) \left(x+\log \left(x-3 e^{-x}\right)-\log \left(e^x x-3\right)\right)","4 \log \left(x-3 e^{-x}\right) \log \left(\frac{x^2}{3}-x\right)-e^{5 x}",1,"-E^(5*x) - 4*x*Log[((-3 + x)*x)/3] + 4*Log[3 - x]*(x + Log[-3/E^x + x] - Log[-3 + E^x*x]) + 4*Log[x]*(x + Log[-3/E^x + x] - Log[-3 + E^x*x]) + 4*Log[((-3 + x)*x)/3]*Log[-3 + E^x*x]","B",1
9785,1,35,34,1.0248256,"\int \frac{e^{-2+x} \left(\exp \left(\frac{e^{-2+x} x}{(4+x) (i \pi +\log (9-e))^2}\right) \left(-4-4 x-x^2\right)+e^{2-x} \left(32+16 x+2 x^2\right) (i \pi +\log (9-e))^2\right)}{\left(16+8 x+x^2\right) (i \pi +\log (9-e))^2} \, dx","Integrate[(E^(-2 + x)*(E^((E^(-2 + x)*x)/((4 + x)*(I*Pi + Log[9 - E])^2))*(-4 - 4*x - x^2) + E^(2 - x)*(32 + 16*x + 2*x^2)*(I*Pi + Log[9 - E])^2))/((16 + 8*x + x^2)*(I*Pi + Log[9 - E])^2),x]","2 x-\exp \left(-\frac{e^{x-2} x}{(x+4) (\pi -i \log (9-e))^2}\right)","2 x-e^{\frac{e^{x-2} x}{(x+4) (\log (9-e)+i \pi )^2}}",1,"-E^(-((E^(-2 + x)*x)/((4 + x)*(Pi - I*Log[9 - E])^2))) + 2*x","A",1
9786,1,48,30,0.0766041,"\int \frac{-24-48 x-33 x^2-29 x^3-25 x^4-2 x^5+\left(8 x^2+8 x^3-x^4-x^5\right) \log \left(x+x^2\right)}{4 x^4+4 x^5} \, dx","Integrate[(-24 - 48*x - 33*x^2 - 29*x^3 - 25*x^4 - 2*x^5 + (8*x^2 + 8*x^3 - x^4 - x^5)*Log[x + x^2])/(4*x^4 + 4*x^5),x]","\frac{1}{4} \left(\frac{8}{x^3}+\frac{12}{x^2}+\frac{1}{x}-12 \log (x)-12 \log (x+1)-x \log (x (x+1))-\frac{8 \log (x (x+1))}{x}\right)","\frac{\left(\left(\frac{x}{4}+4\right) x-x+2\right) \left(\frac{1}{x^2}-\log \left(x^2+x\right)\right)}{x}",1,"(8/x^3 + 12/x^2 + x^(-1) - 12*Log[x] - 12*Log[1 + x] - (8*Log[x*(1 + x)])/x - x*Log[x*(1 + x)])/4","A",1
9787,1,23,18,0.0041263,"\int \frac{5 e^3-7 x^3-3 x^3 \log (x)}{5 x} \, dx","Integrate[(5*E^3 - 7*x^3 - 3*x^3*Log[x])/(5*x),x]","-\frac{2 x^3}{5}-\frac{1}{5} x^3 \log (x)+e^3 \log (x)","\left(e^3-\frac{x^3}{5}\right) (\log (x)+2)+629",1,"(-2*x^3)/5 + E^3*Log[x] - (x^3*Log[x])/5","A",1
9788,1,25,19,0.2702649,"\int \frac{e^{-x-\frac{e^{-x} x}{5}} \left(-10 e^x+2 x-3 x^2+x^3\right)}{20-20 x+5 x^2} \, dx","Integrate[(E^(-x - x/(5*E^x))*(-10*E^x + 2*x - 3*x^2 + x^3))/(20 - 20*x + 5*x^2),x]","\frac{1}{5} e^{-\frac{1}{5} e^{-x} x} \left(\frac{10}{x-2}+5\right)","\frac{e^{-\frac{1}{5} e^{-x} x} x}{x-2}",1,"(5 + 10/(-2 + x))/(5*E^(x/(5*E^x)))","A",1
9789,1,18,28,0.0076493,"\int \frac{1}{30} \left(-81+30 e^{e^x+x}-50 x\right) \, dx","Integrate[(-81 + 30*E^(E^x + x) - 50*x)/30,x]","-\frac{5 x^2}{6}-\frac{27 x}{10}+e^{e^x}","\frac{1}{5} \left(-x-e^4\right)+e^{e^x}-\frac{5}{6} x (x+3)-1",1,"E^E^x - (27*x)/10 - (5*x^2)/6","A",1
9790,1,38,22,0.1961169,"\int \frac{36223740 e^{5 x}-209790 e^{6 x}+486 e^{7 x}+e^{2 x} (-2330928984272-402486 x)+e^{3 x} (134995830852-4662 x)-522 x+e^{4 x} (-3127316274+54 x)+e^x \left(35016282+34747964 x-12 x^2\right)+\left(36223740 e^{4 x}-279720 e^{5 x}+810 e^{6 x}+e^x (-404558-402486 x)+2 x+e^{3 x} (-2084877534+18 x)+e^{2 x} (44998614958+3108 x)\right) \log (x)+\left(12074580 e^{3 x}-139860 e^{4 x}+540 e^{5 x}+e^{2 x} (-347479598-6 x)+e^x (1558+1554 x)\right) \log ^2(x)+\left(1341620 e^{2 x}-31080 e^{3 x}+180 e^{4 x}+e^x (-2-2 x)\right) \log ^3(x)+\left(-2590 e^{2 x}+30 e^{3 x}\right) \log ^4(x)+2 e^{2 x} \log ^5(x)}{-1165463885299+67497908415 e^x-1563658110 e^{2 x}+18111870 e^{3 x}-104895 e^{4 x}+243 e^{5 x}+\left(22499302805-1042438740 e^x+18111870 e^{2 x}-139860 e^{3 x}+405 e^{4 x}\right) \log (x)+\left(-173739790+6037290 e^x-69930 e^{2 x}+270 e^{3 x}\right) \log ^2(x)+\left(670810-15540 e^x+90 e^{2 x}\right) \log ^3(x)+\left(-1295+15 e^x\right) \log ^4(x)+\log ^5(x)} \, dx","Integrate[(36223740*E^(5*x) - 209790*E^(6*x) + 486*E^(7*x) + E^(2*x)*(-2330928984272 - 402486*x) + E^(3*x)*(134995830852 - 4662*x) - 522*x + E^(4*x)*(-3127316274 + 54*x) + E^x*(35016282 + 34747964*x - 12*x^2) + (36223740*E^(4*x) - 279720*E^(5*x) + 810*E^(6*x) + E^x*(-404558 - 402486*x) + 2*x + E^(3*x)*(-2084877534 + 18*x) + E^(2*x)*(44998614958 + 3108*x))*Log[x] + (12074580*E^(3*x) - 139860*E^(4*x) + 540*E^(5*x) + E^(2*x)*(-347479598 - 6*x) + E^x*(1558 + 1554*x))*Log[x]^2 + (1341620*E^(2*x) - 31080*E^(3*x) + 180*E^(4*x) + E^x*(-2 - 2*x))*Log[x]^3 + (-2590*E^(2*x) + 30*E^(3*x))*Log[x]^4 + 2*E^(2*x)*Log[x]^5)/(-1165463885299 + 67497908415*E^x - 1563658110*E^(2*x) + 18111870*E^(3*x) - 104895*E^(4*x) + 243*E^(5*x) + (22499302805 - 1042438740*E^x + 18111870*E^(2*x) - 139860*E^(3*x) + 405*E^(4*x))*Log[x] + (-173739790 + 6037290*E^x - 69930*E^(2*x) + 270*E^(3*x))*Log[x]^2 + (670810 - 15540*E^x + 90*E^(2*x))*Log[x]^3 + (-1295 + 15*E^x)*Log[x]^4 + Log[x]^5),x]","\frac{x^2}{\left(3 e^x+\log (x)-259\right)^4}+e^{2 x}-\frac{2 e^x x}{\left(3 e^x+\log (x)-259\right)^2}","\left(e^x-\frac{x}{\left(-3 e^x-\log (x)+259\right)^2}\right)^2",1,"E^(2*x) + x^2/(-259 + 3*E^x + Log[x])^4 - (2*E^x*x)/(-259 + 3*E^x + Log[x])^2","A",1
9791,1,39,26,0.0187255,"\int \frac{25+8 x+160 e^4 x^3+\left(5+2 x+32 e^4 x^3\right) \log (2)}{160 e^4 x^3+32 e^4 x^3 \log (2)} \, dx","Integrate[(25 + 8*x + 160*E^4*x^3 + (5 + 2*x + 32*E^4*x^3)*Log[2])/(160*E^4*x^3 + 32*E^4*x^3*Log[2]),x]","-\frac{-64 e^4 x^3 (5+\log (2))+2 x (8+\log (4))+25+\log (32)}{64 e^4 x^2 (5+\log (2))}","x-\frac{x-\frac{x}{5+\log (2)}+\frac{5}{4}}{16 e^4 x^2}",1,"-1/64*(25 - 64*E^4*x^3*(5 + Log[2]) + 2*x*(8 + Log[4]) + Log[32])/(E^4*x^2*(5 + Log[2]))","A",1
9792,1,19,16,0.0013834,"\int \frac{\frac{150 x}{e^2}-\frac{250 x^2}{e^4}}{x} \, dx","Integrate[((150*x)/E^2 - (250*x^2)/E^4)/x,x]","\frac{50 \left(3 e^2 x-\frac{5 x^2}{2}\right)}{e^4}","5 \left(9-\left(\frac{5 x}{e^2}-3\right)^2\right)",1,"(50*(3*E^2*x - (5*x^2)/2))/E^4","A",1
9793,1,122,31,2.3035602,"\int \frac{-7742196 x^8+7779240 x^7 \log ^2(2)+\left(-7461720 x^8+7482888 x^7 \log ^2(2)\right) \log \left(-x+\log ^2(2)\right)+\left(-2874816 x^8+2878848 x^7 \log ^2(2)\right) \log ^2\left(-x+\log ^2(2)\right)+\left(-553472 x^8+553728 x^7 \log ^2(2)\right) \log ^3\left(-x+\log ^2(2)\right)+\left(-53248 x^8+53248 x^7 \log ^2(2)\right) \log ^4\left(-x+\log ^2(2)\right)+\left(-2048 x^8+2048 x^7 \log ^2(2)\right) \log ^5\left(-x+\log ^2(2)\right)}{-3125 x+3125 \log ^2(2)+\left(-3125 x+3125 \log ^2(2)\right) \log \left(-x+\log ^2(2)\right)+\left(-1250 x+1250 \log ^2(2)\right) \log ^2\left(-x+\log ^2(2)\right)+\left(-250 x+250 \log ^2(2)\right) \log ^3\left(-x+\log ^2(2)\right)+\left(-25 x+25 \log ^2(2)\right) \log ^4\left(-x+\log ^2(2)\right)+\left(-x+\log ^2(2)\right) \log ^5\left(-x+\log ^2(2)\right)} \, dx","Integrate[(-7742196*x^8 + 7779240*x^7*Log[2]^2 + (-7461720*x^8 + 7482888*x^7*Log[2]^2)*Log[-x + Log[2]^2] + (-2874816*x^8 + 2878848*x^7*Log[2]^2)*Log[-x + Log[2]^2]^2 + (-553472*x^8 + 553728*x^7*Log[2]^2)*Log[-x + Log[2]^2]^3 + (-53248*x^8 + 53248*x^7*Log[2]^2)*Log[-x + Log[2]^2]^4 + (-2048*x^8 + 2048*x^7*Log[2]^2)*Log[-x + Log[2]^2]^5)/(-3125*x + 3125*Log[2]^2 + (-3125*x + 3125*Log[2]^2)*Log[-x + Log[2]^2] + (-1250*x + 1250*Log[2]^2)*Log[-x + Log[2]^2]^2 + (-250*x + 250*Log[2]^2)*Log[-x + Log[2]^2]^3 + (-25*x + 25*Log[2]^2)*Log[-x + Log[2]^2]^4 + (-x + Log[2]^2)*Log[-x + Log[2]^2]^5),x]","\frac{194481 x^8+96 \left(441 x^8-400 \log ^{16}(2)\right) \log ^2\left(\log ^2(2)-x\right)+16 \left(9261 x^8-8000 \log ^{16}(2)\right) \log \left(\log ^2(2)-x\right)+256 \left(x^8-\log ^{16}(2)\right) \log ^4\left(\log ^2(2)-x\right)+256 \left(21 x^8-20 \log ^{16}(2)\right) \log ^3\left(\log ^2(2)-x\right)-160000 \log ^{16}(2)}{\left(\log \left(\log ^2(2)-x\right)+5\right)^4}","x^8 \left(\frac{\frac{x}{\log \left(\log ^2(2)-x\right)+5}-x}{x}+5\right)^4",1,"(194481*x^8 - 160000*Log[2]^16 + 16*(9261*x^8 - 8000*Log[2]^16)*Log[-x + Log[2]^2] + 96*(441*x^8 - 400*Log[2]^16)*Log[-x + Log[2]^2]^2 + 256*(21*x^8 - 20*Log[2]^16)*Log[-x + Log[2]^2]^3 + 256*(x^8 - Log[2]^16)*Log[-x + Log[2]^2]^4)/(5 + Log[-x + Log[2]^2])^4","B",1
9794,1,40,26,0.0126135,"\int \frac{2304+5632 x+512 x^2+3 x^4+22 x^5+6 x^6+e^9 \left(-768-x^4\right)}{x^4} \, dx","Integrate[(2304 + 5632*x + 512*x^2 + 3*x^4 + 22*x^5 + 6*x^6 + E^9*(-768 - x^4))/x^4,x]","2 x^3+\frac{256 \left(e^9-3\right)}{x^3}+11 x^2-\frac{2816}{x^2}+\left(3-e^9\right) x-\frac{512}{x}","\left(\frac{256}{x^3}-x\right) \left(-((2 x+10) x)-x+e^9-3\right)",1,"(256*(-3 + E^9))/x^3 - 2816/x^2 - 512/x + (3 - E^9)*x + 11*x^2 + 2*x^3","A",1
9795,1,40,21,0.3202108,"\int \frac{-2 \log \left(-2 x^3 \log (3)\right)+\log \left(x^2\right) \left(3 e^x-e^x x \log \left(-2 x^3 \log (3)\right)\right)+3 \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)}{e^x x \log \left(x^2\right) \log \left(-2 x^3 \log (3)\right)+x \log \left(x^2\right) \log \left(-2 x^3 \log (3)\right) \log \left(\log \left(x^2\right)\right)} \, dx","Integrate[(-2*Log[-2*x^3*Log[3]] + Log[x^2]*(3*E^x - E^x*x*Log[-2*x^3*Log[3]]) + 3*Log[x^2]*Log[Log[x^2]])/(E^x*x*Log[x^2]*Log[-2*x^3*Log[3]] + x*Log[x^2]*Log[-2*x^3*Log[3]]*Log[Log[x^2]]),x]","\log \left(3 \log \left(x^2\right)+2 \left(\log \left(-x^3 \log (9)\right)-\frac{3 \log \left(x^2\right)}{2}\right)\right)-\log \left(\log \left(\log \left(x^2\right)\right)+e^x\right)","\log \left(\frac{\log \left(-2 x^3 \log (3)\right)}{\log \left(\log \left(x^2\right)\right)+e^x}\right)",1,"Log[3*Log[x^2] + 2*((-3*Log[x^2])/2 + Log[-(x^3*Log[9])])] - Log[E^x + Log[Log[x^2]]]","A",1
9796,1,58,20,0.105832,"\int \frac{e^6 (4+2 x)+e^{\frac{2 e^5 x}{3}} \left(18 x+6 e^5 x^2\right)+e^{\frac{e^5 x}{3}} \left(e^3 (12+12 x)+e^8 \left(4 x+2 x^2\right)\right)}{e^6} \, dx","Integrate[(E^6*(4 + 2*x) + E^((2*E^5*x)/3)*(18*x + 6*E^5*x^2) + E^((E^5*x)/3)*(E^3*(12 + 12*x) + E^8*(4*x + 2*x^2)))/E^6,x]","2 \left(\frac{9}{2} e^{\frac{2 e^5 x}{3}-6} x^2+\frac{x^2}{2}+e^{\frac{e^5 x}{3}} \left(\frac{3 x^2}{e^3}+\frac{6 x}{e^3}\right)+2 x\right)","\left(3 e^{\frac{e^5 x}{3}-3} x+x+2\right)^2",1,"2*(2*x + x^2/2 + (9*E^(-6 + (2*E^5*x)/3)*x^2)/2 + E^((E^5*x)/3)*((6*x)/E^3 + (3*x^2)/E^3))","B",1
9797,1,16,19,0.021251,"\int \frac{16-2 e^{\frac{2 x}{-4+2 x}}-16 x+4 x^2+16 x^3-16 x^4+4 x^5}{4-4 x+x^2} \, dx","Integrate[(16 - 2*E^((2*x)/(-4 + 2*x)) - 16*x + 4*x^2 + 16*x^3 - 16*x^4 + 4*x^5)/(4 - 4*x + x^2),x]","x^4+4 x+e^{\frac{x}{x-2}}","x^4+4 x+e^{\frac{2 x}{2 x-4}}",1,"E^(x/(-2 + x)) + 4*x + x^4","A",1
9798,1,86,20,0.1438848,"\int \frac{6-6 x+\left(9-6 x-18 x^2+12 x^3\right) \log \left(\frac{-1+2 x^2}{x^2}\right)}{-2 x^4+4 x^6} \, dx","Integrate[(6 - 6*x + (9 - 6*x - 18*x^2 + 12*x^3)*Log[(-1 + 2*x^2)/x^2])/(-2*x^4 + 4*x^6),x]","\frac{3 \left(2 x^3-x+1\right) \log \left(2-\frac{1}{x^2}\right)}{2 x^3}+6 \log (x)+3 \left(\sqrt{2}-1\right) \log \left(1-\sqrt{2} x\right)-3 \left(1+\sqrt{2}\right) \log \left(\sqrt{2} x+1\right)+6 \sqrt{2} \tanh ^{-1}\left(\frac{1}{\sqrt{2} x}\right)","\frac{3 (1-x) \log \left(2-\frac{1}{x^2}\right)}{2 x^3}",1,"6*Sqrt[2]*ArcTanh[1/(Sqrt[2]*x)] + (3*(1 - x + 2*x^3)*Log[2 - x^(-2)])/(2*x^3) + 6*Log[x] + 3*(-1 + Sqrt[2])*Log[1 - Sqrt[2]*x] - 3*(1 + Sqrt[2])*Log[1 + Sqrt[2]*x]","B",1
9799,1,19,23,0.0044447,"\int \frac{\left(-36+12 e^4\right) \log \left(4 e^4-4 e^2 x+x^2\right)}{2 e^2-x} \, dx","Integrate[((-36 + 12*E^4)*Log[4*E^4 - 4*E^2*x + x^2])/(2*E^2 - x),x]","-3 \left(e^4-3\right) \log ^2\left(\left(x-2 e^2\right)^2\right)","3 \left(3-e^4\right) \log ^2\left(\left(2 e^2-x\right)^2\right)",1,"-3*(-3 + E^4)*Log[(-2*E^2 + x)^2]^2","A",1
9800,0,0,28,2.3058878,"\int \exp \left(-e^{16}+e^{-e^{16}} \left(-4 x^2+e^{e^{16}} \left(-4 x+e^x x\right)+\left(x^2-x^3\right) \log (5)\right)\right) \left(-8 x+e^{e^{16}} \left(-4+e^x (1+x)\right)+\left(2 x-3 x^2\right) \log (5)\right) \, dx","Integrate[E^(-E^16 + (-4*x^2 + E^E^16*(-4*x + E^x*x) + (x^2 - x^3)*Log[5])/E^E^16)*(-8*x + E^E^16*(-4 + E^x*(1 + x)) + (2*x - 3*x^2)*Log[5]),x]","\int \exp \left(-e^{16}+e^{-e^{16}} \left(-4 x^2+e^{e^{16}} \left(-4 x+e^x x\right)+\left(x^2-x^3\right) \log (5)\right)\right) \left(-8 x+e^{e^{16}} \left(-4+e^x (1+x)\right)+\left(2 x-3 x^2\right) \log (5)\right) \, dx","\exp \left(x \left(e^x+e^{-e^{16}} x ((1-x) \log (5)-4)-4\right)\right)",1,"Integrate[E^(-E^16 + (-4*x^2 + E^E^16*(-4*x + E^x*x) + (x^2 - x^3)*Log[5])/E^E^16)*(-8*x + E^E^16*(-4 + E^x*(1 + x)) + (2*x - 3*x^2)*Log[5]), x]","F",-1
9801,1,19,21,0.0626681,"\int e^{398+160 x+16 x^2+\frac{2 \left(e^2 x+e^4 x\right)}{e^2}} \left(18 e^4+e^2 (1458+288 x)\right) \, dx","Integrate[E^(398 + 160*x + 16*x^2 + (2*(E^2*x + E^4*x))/E^2)*(18*E^4 + E^2*(1458 + 288*x)),x]","9 e^{16 x^2+2 \left(81+e^2\right) x+400}","9 e^{16 (x+5)^2+2 e^2 x+2 x}",1,"9*E^(400 + 2*(81 + E^2)*x + 16*x^2)","A",1
9802,1,30,16,0.0969248,"\int \frac{e^8 \left(12288 e x^2+12800 x^3\right)+e^8 \left(1536 e x^2+1568 x^3\right) \log (e+x)+e^8 \left(48 e x^2+48 x^3\right) \log ^2(e+x)}{e+x} \, dx","Integrate[(E^8*(12288*E*x^2 + 12800*x^3) + E^8*(1536*E*x^2 + 1568*x^3)*Log[E + x] + E^8*(48*E*x^2 + 48*x^3)*Log[E + x]^2)/(E + x),x]","16 e^8 \left(256 x^3+x^3 \log ^2(x+e)+32 x^3 \log (x+e)\right)","16 e^8 x^3 (\log (x+e)+16)^2",1,"16*E^8*(256*x^3 + 32*x^3*Log[E + x] + x^3*Log[E + x]^2)","A",1
9803,1,36,33,0.0835968,"\int \frac{-55+220 x-82 x^2+8 x^3+e^{2-x^2} \left(-50 x+20 x^2-2 x^3\right)}{\left(-75-25 x+118 x^2-42 x^3+4 x^4+e^{2-x^2} \left(25-10 x+x^2\right)\right) \log \left(\frac{15+e^{2-x^2} (-5+x)+8 x-22 x^2+4 x^3}{-5+x}\right)} \, dx","Integrate[(-55 + 220*x - 82*x^2 + 8*x^3 + E^(2 - x^2)*(-50*x + 20*x^2 - 2*x^3))/((-75 - 25*x + 118*x^2 - 42*x^3 + 4*x^4 + E^(2 - x^2)*(25 - 10*x + x^2))*Log[(15 + E^(2 - x^2)*(-5 + x) + 8*x - 22*x^2 + 4*x^3)/(-5 + x)]),x]","\log \left(\log \left(\frac{4 x^3-22 x^2+e^{2-x^2} (x-5)+8 x+15}{x-5}\right)\right)","\log \left(\log \left(4 x^2+e^{2-x^2}-\frac{x}{5-x}-2 x-3\right)\right)+2",1,"Log[Log[(15 + E^(2 - x^2)*(-5 + x) + 8*x - 22*x^2 + 4*x^3)/(-5 + x)]]","A",1
9804,1,59,32,0.1195026,"\int \frac{5 x^3+2 x^4+e^x \left(-80+40 x^2+8 x^3\right)+e^{-1-x} \left(-20 x-20 x^2-16 x^3-4 x^4\right)}{4 x^3} \, dx","Integrate[(5*x^3 + 2*x^4 + E^x*(-80 + 40*x^2 + 8*x^3) + E^(-1 - x)*(-20*x - 20*x^2 - 16*x^3 - 4*x^4))/(4*x^3),x]","\frac{1}{4} \left(x^2+\frac{40 e^x}{x^2}+5 x+8 e^x-4 e^{-x} \left(-\frac{x}{e}-\frac{5}{e x}-\frac{5}{e}\right)+\frac{40 e^x}{x}\right)","\frac{\left(\frac{x}{4}+e^{-x-1}+\frac{2 e^x}{x}\right) (x (x+5)+5)}{x}",1,"(8*E^x + (40*E^x)/x^2 + (40*E^x)/x + 5*x + x^2 - (4*(-5/E - 5/(E*x) - x/E))/E^x)/4","A",1
9805,1,14,16,0.0080576,"\int \frac{-20+5 x}{\left(-2 x+x^2\right) \log ^2\left(\frac{2-x}{x^2}\right)} \, dx","Integrate[(-20 + 5*x)/((-2*x + x^2)*Log[(2 - x)/x^2]^2),x]","\frac{5}{\log \left(\frac{2-x}{x^2}\right)}","\frac{5}{\log \left(\frac{2}{x^2}-\frac{1}{x}\right)}",1,"5/Log[(2 - x)/x^2]","A",1
9806,1,16,26,0.0134476,"\int \frac{1}{3} \left(3+e^{-\frac{2 e^2 x}{3}} \left(6 x-2 e^2 x^2\right)\right) \, dx","Integrate[(3 + (6*x - 2*E^2*x^2)/E^((2*E^2*x)/3))/3,x]","e^{-\frac{2 e^2 x}{3}} x^2+x","e^{\frac{2 e^2 (4-x) x}{3 (x-4)}} x^2+x",1,"x + x^2/E^((2*E^2*x)/3)","A",1
9807,1,20,20,0.0000843,"\int \left(2-e^3+6 x-64 x^3\right) \, dx","Integrate[2 - E^3 + 6*x - 64*x^3,x]","-16 x^4+3 x^2-e^3 x+2 x","-16 x^4+\left(3 x-e^3\right) x+2 x",1,"2*x - E^3*x + 3*x^2 - 16*x^4","A",1
9808,1,21,22,0.1382171,"\int \frac{10+22 x+4 x^2+5 x^5+x^6+\left(10+4 x+15 x^4+3 x^5\right) \log (x)+\left(15 x^3+3 x^4\right) \log ^2(x)+\left(5 x^2+x^3\right) \log ^3(x)+\left(10+2 x+\left(10+2 x+15 x^4+3 x^5\right) \log (x)+\left(30 x^3+6 x^4\right) \log ^2(x)+\left(15 x^2+3 x^3\right) \log ^3(x)\right) \log (5+x)+\left(\left(15 x^3+3 x^4\right) \log ^2(x)+\left(15 x^2+3 x^3\right) \log ^3(x)\right) \log ^2(5+x)+\left(5 x^2+x^3\right) \log ^3(x) \log ^3(5+x)}{5 x^6+x^7+\left(15 x^5+3 x^6\right) \log (x)+\left(15 x^4+3 x^5\right) \log ^2(x)+\left(5 x^3+x^4\right) \log ^3(x)+\left(\left(15 x^5+3 x^6\right) \log (x)+\left(30 x^4+6 x^5\right) \log ^2(x)+\left(15 x^3+3 x^4\right) \log ^3(x)\right) \log (5+x)+\left(\left(15 x^4+3 x^5\right) \log ^2(x)+\left(15 x^3+3 x^4\right) \log ^3(x)\right) \log ^2(5+x)+\left(5 x^3+x^4\right) \log ^3(x) \log ^3(5+x)} \, dx","Integrate[(10 + 22*x + 4*x^2 + 5*x^5 + x^6 + (10 + 4*x + 15*x^4 + 3*x^5)*Log[x] + (15*x^3 + 3*x^4)*Log[x]^2 + (5*x^2 + x^3)*Log[x]^3 + (10 + 2*x + (10 + 2*x + 15*x^4 + 3*x^5)*Log[x] + (30*x^3 + 6*x^4)*Log[x]^2 + (15*x^2 + 3*x^3)*Log[x]^3)*Log[5 + x] + ((15*x^3 + 3*x^4)*Log[x]^2 + (15*x^2 + 3*x^3)*Log[x]^3)*Log[5 + x]^2 + (5*x^2 + x^3)*Log[x]^3*Log[5 + x]^3)/(5*x^6 + x^7 + (15*x^5 + 3*x^6)*Log[x] + (15*x^4 + 3*x^5)*Log[x]^2 + (5*x^3 + x^4)*Log[x]^3 + ((15*x^5 + 3*x^6)*Log[x] + (30*x^4 + 6*x^5)*Log[x]^2 + (15*x^3 + 3*x^4)*Log[x]^3)*Log[5 + x] + ((15*x^4 + 3*x^5)*Log[x]^2 + (15*x^3 + 3*x^4)*Log[x]^3)*Log[5 + x]^2 + (5*x^3 + x^4)*Log[x]^3*Log[5 + x]^3),x]","\log (x)-\frac{1}{x^2 (x+\log (x)+\log (x) \log (x+5))^2}","\log (x)-\frac{1}{\left(x^2+\log (x) (x+x \log (x+5))\right)^2}",1,"Log[x] - 1/(x^2*(x + Log[x] + Log[x]*Log[5 + x])^2)","A",1
9809,1,22,24,1.7751947,"\int \frac{-8+16 x-8 x^2+\left(-12-14 x+34 x^2-6 x^3-2 x^4\right) \log (6+x)+\left(-24+20 x+4 x^2\right) \log (6+x) \log \left(\log ^2(6+x)\right)}{\left(6 x^3+19 x^4+21 x^5+9 x^6+x^7\right) \log (6+x)+\left(36 x^2+78 x^3+48 x^4+6 x^5\right) \log (6+x) \log \left(\log ^2(6+x)\right)+\left(72 x+84 x^2+12 x^3\right) \log (6+x) \log ^2\left(\log ^2(6+x)\right)+(48+8 x) \log (6+x) \log ^3\left(\log ^2(6+x)\right)} \, dx","Integrate[(-8 + 16*x - 8*x^2 + (-12 - 14*x + 34*x^2 - 6*x^3 - 2*x^4)*Log[6 + x] + (-24 + 20*x + 4*x^2)*Log[6 + x]*Log[Log[6 + x]^2])/((6*x^3 + 19*x^4 + 21*x^5 + 9*x^6 + x^7)*Log[6 + x] + (36*x^2 + 78*x^3 + 48*x^4 + 6*x^5)*Log[6 + x]*Log[Log[6 + x]^2] + (72*x + 84*x^2 + 12*x^3)*Log[6 + x]*Log[Log[6 + x]^2]^2 + (48 + 8*x)*Log[6 + x]*Log[Log[6 + x]^2]^3),x]","\frac{(x-1)^2}{\left(x^2+x+2 \log \left(\log ^2(x+6)\right)\right)^2}","\frac{1}{\left(\frac{2 \left(x+\log \left(\log ^2(x+6)\right)\right)}{1-x}-x\right)^2}",1,"(-1 + x)^2/(x + x^2 + 2*Log[Log[6 + x]^2])^2","A",1
9810,1,16,19,0.0038005,"\int \left(2-e^x+\log \left(\frac{2 x^2}{3}\right)\right) \, dx","Integrate[2 - E^x + Log[(2*x^2)/3],x]","x \log \left(\frac{2 x^2}{3}\right)-e^x","x \left(\log \left(\frac{2 x^2}{3}\right)-\frac{e^x}{x}\right)",1,"-E^x + x*Log[(2*x^2)/3]","A",1
9811,1,21,22,0.0503634,"\int \frac{5+30 x^2+45 x^4+e^{\frac{81 x^3}{5+15 x^2}} \left(-5-30 x^2-243 x^3-45 x^4-243 x^5\right)}{5+30 x^2+45 x^4} \, dx","Integrate[(5 + 30*x^2 + 45*x^4 + E^((81*x^3)/(5 + 15*x^2))*(-5 - 30*x^2 - 243*x^3 - 45*x^4 - 243*x^5))/(5 + 30*x^2 + 45*x^4),x]","x-e^{\frac{81 x^3}{15 x^2+5}} x","\left(1-e^{\frac{81 x^3}{15 x^2+5}}\right) x",1,"x - E^((81*x^3)/(5 + 15*x^2))*x","A",1
9812,1,15,16,0.0976435,"\int \frac{-36963+11655 x+219 x^2+x^3+\left(36963-23310 x-657 x^2-4 x^3\right) \log (x)}{\log ^2(x)} \, dx","Integrate[(-36963 + 11655*x + 219*x^2 + x^3 + (36963 - 23310*x - 657*x^2 - 4*x^3)*Log[x])/Log[x]^2,x]","-\frac{(x-3) x (x+111)^2}{\log (x)}","\frac{(3-x) x (x+111)^2}{\log (x)}",1,"-(((-3 + x)*x*(111 + x)^2)/Log[x])","A",1
9813,1,13,20,0.0142229,"\int \frac{2-2 e^x x+e^x x (1+x)}{2 x} \, dx","Integrate[(2 - 2*E^x*x + E^x*x*(1 + x))/(2*x),x]","\frac{1}{2} e^x (x-2)+\log (x)","\frac{1}{2} \left(e^x x+2\right)-e^x+\log (x)+2",1,"(E^x*(-2 + x))/2 + Log[x]","A",1
9814,1,31,38,0.5586292,"\int \frac{-40 e^{3+2 e^x} x \log ^2(2)+e^{e^x} \left(125 e^3 \log (2)-125 e^{3+x} x \log (2)\right)}{1250 x^2-400 e^{e^x} x^3 \log (2)+32 e^{2 e^x} x^4 \log ^2(2)} \, dx","Integrate[(-40*E^(3 + 2*E^x)*x*Log[2]^2 + E^E^x*(125*E^3*Log[2] - 125*E^(3 + x)*x*Log[2]))/(1250*x^2 - 400*E^E^x*x^3*Log[2] + 32*E^(2*E^x)*x^4*Log[2]^2),x]","-\frac{5 e^{e^x+3} \log (2)}{2 \left(25 x-e^{e^x} x^2 \log (16)\right)}","\frac{\frac{x}{5}+\frac{e^3}{\frac{4 x}{5}-\frac{5 e^{-e^x}}{\log (2)}}}{2 x}",1,"(-5*E^(3 + E^x)*Log[2])/(2*(25*x - E^E^x*x^2*Log[16]))","A",1
9815,1,32,28,0.8060826,"\int \frac{-6480-4320 x-924 x^2-70 x^3-x^4+\left(1296+864 x+216 x^2+24 x^3+x^4\right) \log (x)}{20736-24480 x-3143 x^2+5256 x^3+1806 x^4+216 x^5+9 x^6+\left(-10368+2664 x+4344 x^2+1250 x^3+144 x^4+6 x^5\right) \log (x)+\left(1296+864 x+216 x^2+24 x^3+x^4\right) \log ^2(x)} \, dx","Integrate[(-6480 - 4320*x - 924*x^2 - 70*x^3 - x^4 + (1296 + 864*x + 216*x^2 + 24*x^3 + x^4)*Log[x])/(20736 - 24480*x - 3143*x^2 + 5256*x^3 + 1806*x^4 + 216*x^5 + 9*x^6 + (-10368 + 2664*x + 4344*x^2 + 1250*x^3 + 144*x^4 + 6*x^5)*Log[x] + (1296 + 864*x + 216*x^2 + 24*x^3 + x^4)*Log[x]^2),x]","\frac{x (x+6)^2}{3 x^3+36 x^2+85 x+(x+6)^2 \log (x)-144}","\frac{x}{\frac{\left(\frac{x}{x+6}+2 x\right)^2}{x}-x+\log (x)-4}",1,"(x*(6 + x)^2)/(-144 + 85*x + 36*x^2 + 3*x^3 + (6 + x)^2*Log[x])","A",1
9816,1,9,17,0.0141464,"\int \left(-10+x^x (-1-\log (x))\right) \, dx","Integrate[-10 + x^x*(-1 - Log[x]),x]","-x^x-10 x","-x^x-5 \log \left(e^{2 x}\right)+\frac{1}{e^2}",1,"-10*x - x^x","A",1
9817,1,7,7,0.0000705,"\int -\frac{\log (6)}{2} \, dx","Integrate[-1/2*Log[6],x]","-\frac{1}{2} x \log (6)","-\frac{1}{2} x \log (6)",1,"-1/2*(x*Log[6])","A",1
9818,1,21,30,0.1567306,"\int \frac{e^{2 x} (1-6 x)-3 x^2-6 x^3+e^x \left(6 x+8 x^2\right)}{e^{2 x}-2 e^x x+x^2} \, dx","Integrate[(E^(2*x)*(1 - 6*x) - 3*x^2 - 6*x^3 + E^x*(6*x + 8*x^2))/(E^(2*x) - 2*E^x*x + x^2),x]","\frac{4 x^2}{e^x-x}-3 x^2+x","(x+1)^2-x+4 x \left(\frac{x}{e^x-x}-x\right)+\frac{4}{3}",1,"x - 3*x^2 + (4*x^2)/(E^x - x)","A",1
9819,1,17,32,0.0062847,"\int \frac{-274-68 x-4 x^2}{289+68 x+4 x^2} \, dx","Integrate[(-274 - 68*x - 4*x^2)/(289 + 68*x + 4*x^2),x]","-\frac{2 \left(x^2+17 x+76\right)}{2 x+17}","-\frac{x}{\frac{x^2+x}{x+16}+x}-x+3+\log (\log (5)+i \pi )",1,"(-2*(76 + 17*x + x^2))/(17 + 2*x)","A",1
9820,1,27,22,0.2492058,"\int \frac{e^{\frac{x^3}{e^4 \left(4+x^2\right)}} \left(-12 x^2-x^4\right)+e^4 \left(32+16 x^2+2 x^4\right)}{e^4 \left(16+8 x^2+x^4\right)} \, dx","Integrate[(E^(x^3/(E^4*(4 + x^2)))*(-12*x^2 - x^4) + E^4*(32 + 16*x^2 + 2*x^4))/(E^4*(16 + 8*x^2 + x^4)),x]","2 x-e^{\frac{x}{e^4}-\frac{4 x}{e^4 \left(x^2+4\right)}}","2 x-e^{\frac{x^3}{e^4 \left(x^2+4\right)}}",1,"-E^(x/E^4 - (4*x)/(E^4*(4 + x^2))) + 2*x","A",1
9821,1,8,14,0.0000708,"\int (1+10 \log (\log (2))) \, dx","Integrate[1 + 10*Log[Log[2]],x]","x+10 x \log (\log (2))","x+5 \left(2 x+\frac{619}{125}\right) \log (\log (2))",1,"x + 10*x*Log[Log[2]]","A",1
9822,1,48,29,0.2665484,"\int \frac{\exp \left(-e^{6-2 e^{2 x}} x^2-2 e^{3-e^{2 x}} x^2 \log (\log (4))-x^2 \log ^2(\log (4))\right) \left(-4+e^{6-2 e^{2 x}} \left(-8 x^2+16 e^{2 x} x^3\right)+e^{3-e^{2 x}} \left(-16 x^2+16 e^{2 x} x^3\right) \log (\log (4))-8 x^2 \log ^2(\log (4))\right)}{x^2} \, dx","Integrate[(E^(-(E^(6 - 2*E^(2*x))*x^2) - 2*E^(3 - E^(2*x))*x^2*Log[Log[4]] - x^2*Log[Log[4]]^2)*(-4 + E^(6 - 2*E^(2*x))*(-8*x^2 + 16*E^(2*x)*x^3) + E^(3 - E^(2*x))*(-16*x^2 + 16*E^(2*x)*x^3)*Log[Log[4]] - 8*x^2*Log[Log[4]]^2))/x^2,x]","\frac{4 e^{-x^2 \left(e^{6-2 e^{2 x}}+\log ^2(\log (4))\right)} \log ^{-2 e^{3-e^{2 x}} x^2}(4)}{x}","\frac{4 e^{-x^2 \left(e^{3-e^{2 x}}+\log (\log (4))\right)^2}}{x}",1,"4/(E^(x^2*(E^(6 - 2*E^(2*x)) + Log[Log[4]]^2))*x*Log[4]^(2*E^(3 - E^(2*x))*x^2))","A",1
9823,0,0,30,1.0036902,"\int \frac{5^{\frac{5 x^2}{(-80+25 x) \log (5)+e^x \left(5 x^3+\left(3 x^2+5 x^3\right) \log (5)\right)}} \left(\left(-800 x+125 x^2\right) \log ^2(5)+e^x \left(\left(-25 x^4-25 x^5\right) \log (5)+\left(-40 x^4-25 x^5\right) \log ^2(5)\right)\right)}{\left(6400-4000 x+625 x^2\right) \log ^2(5)+e^x \left(\left(-800 x^3+250 x^4\right) \log (5)+\left(-480 x^2-650 x^3+250 x^4\right) \log ^2(5)\right)+e^{2 x} \left(25 x^6+\left(30 x^5+50 x^6\right) \log (5)+\left(9 x^4+30 x^5+25 x^6\right) \log ^2(5)\right)} \, dx","Integrate[(5^((5*x^2)/((-80 + 25*x)*Log[5] + E^x*(5*x^3 + (3*x^2 + 5*x^3)*Log[5])))*((-800*x + 125*x^2)*Log[5]^2 + E^x*((-25*x^4 - 25*x^5)*Log[5] + (-40*x^4 - 25*x^5)*Log[5]^2)))/((6400 - 4000*x + 625*x^2)*Log[5]^2 + E^x*((-800*x^3 + 250*x^4)*Log[5] + (-480*x^2 - 650*x^3 + 250*x^4)*Log[5]^2) + E^(2*x)*(25*x^6 + (30*x^5 + 50*x^6)*Log[5] + (9*x^4 + 30*x^5 + 25*x^6)*Log[5]^2)),x]","\int \frac{5^{\frac{5 x^2}{(-80+25 x) \log (5)+e^x \left(5 x^3+\left(3 x^2+5 x^3\right) \log (5)\right)}} \left(\left(-800 x+125 x^2\right) \log ^2(5)+e^x \left(\left(-25 x^4-25 x^5\right) \log (5)+\left(-40 x^4-25 x^5\right) \log ^2(5)\right)\right)}{\left(6400-4000 x+625 x^2\right) \log ^2(5)+e^x \left(\left(-800 x^3+250 x^4\right) \log (5)+\left(-480 x^2-650 x^3+250 x^4\right) \log ^2(5)\right)+e^{2 x} \left(25 x^6+\left(30 x^5+50 x^6\right) \log (5)+\left(9 x^4+30 x^5+25 x^6\right) \log ^2(5)\right)} \, dx","e^{\frac{x^2}{x \left(e^x x \left(x+\frac{x}{\log (5)}+\frac{3}{5}\right)+5\right)-16}}",1,"Integrate[(5^((5*x^2)/((-80 + 25*x)*Log[5] + E^x*(5*x^3 + (3*x^2 + 5*x^3)*Log[5])))*((-800*x + 125*x^2)*Log[5]^2 + E^x*((-25*x^4 - 25*x^5)*Log[5] + (-40*x^4 - 25*x^5)*Log[5]^2)))/((6400 - 4000*x + 625*x^2)*Log[5]^2 + E^x*((-800*x^3 + 250*x^4)*Log[5] + (-480*x^2 - 650*x^3 + 250*x^4)*Log[5]^2) + E^(2*x)*(25*x^6 + (30*x^5 + 50*x^6)*Log[5] + (9*x^4 + 30*x^5 + 25*x^6)*Log[5]^2)), x]","F",-1
9824,1,39,29,0.0761512,"\int \frac{x+2 e^{2 x} x+2 x^2+12 x^3+4 x^4+e^x \left(2+2 x+2 x^2\right)+\left(2+2 x+2 e^x x\right) \log (x)}{x} \, dx","Integrate[(x + 2*E^(2*x)*x + 2*x^2 + 12*x^3 + 4*x^4 + E^x*(2 + 2*x + 2*x^2) + (2 + 2*x + 2*E^x*x)*Log[x])/x,x]","x^4+4 x^3+x^2+2 e^x x-x+e^{2 x}+\log ^2(x)+2 \left(x+e^x\right) \log (x)","\frac{1}{3} (4 (x+3)-x) x^3-x+\left(x+e^x+\log (x)\right)^2",1,"E^(2*x) - x + 2*E^x*x + x^2 + 4*x^3 + x^4 + 2*(E^x + x)*Log[x] + Log[x]^2","A",1
9825,1,26,25,0.0612917,"\int \frac{20+\left(16 x+8 x^2+x^3\right) \log (19)-5 x \log \left(\frac{x}{\log (5)}\right)}{\left(16 x+8 x^2+x^3\right) \log (19)} \, dx","Integrate[(20 + (16*x + 8*x^2 + x^3)*Log[19] - 5*x*Log[x/Log[5]])/((16*x + 8*x^2 + x^3)*Log[19]),x]","\frac{x \log (19)+\frac{5 \left(\log \left(\frac{x}{\log (5)}\right)+1\right)}{x+4}}{\log (19)}","x+\frac{5 \left(-x+\log \left(\frac{x}{\log (5)}\right)-3\right)}{(x+4) \log (19)}",1,"(x*Log[19] + (5*(1 + Log[x/Log[5]]))/(4 + x))/Log[19]","A",1
9826,1,30,25,0.0937288,"\int \frac{-2-2 e^{2 e^{\frac{1}{2} \left(2 x+\log \left(e^2 x\right)\right)}}+6 x^2+e^{e^{\frac{1}{2} \left(2 x+\log \left(e^2 x\right)\right)}} \left(-4+6 x^2+e^{\frac{1}{2} \left(2 x+\log \left(e^2 x\right)\right)} \left(-x^2-2 x^3\right)\right)}{2+4 e^{e^{\frac{1}{2} \left(2 x+\log \left(e^2 x\right)\right)}}+2 e^{2 e^{\frac{1}{2} \left(2 x+\log \left(e^2 x\right)\right)}}} \, dx","Integrate[(-2 - 2*E^(2*E^((2*x + Log[E^2*x])/2)) + 6*x^2 + E^E^((2*x + Log[E^2*x])/2)*(-4 + 6*x^2 + E^((2*x + Log[E^2*x])/2)*(-x^2 - 2*x^3)))/(2 + 4*E^E^((2*x + Log[E^2*x])/2) + 2*E^(2*E^((2*x + Log[E^2*x])/2))),x]","\frac{1}{2} \left(\frac{2 x^3}{e^{e^{x+1} \sqrt{x}}+1}-2 x\right)","\frac{x^3}{e^{e^{x+1} \sqrt{x}}+1}-x",1,"(-2*x + (2*x^3)/(1 + E^(E^(1 + x)*Sqrt[x])))/2","A",1
9827,1,26,26,0.1751511,"\int \frac{e^{e^{2 x}} \left(-1+2 e^{2 x} x\right) \log (x) \log ^3(\log (x))+e^{\frac{256+x \log ^2(\log (x))}{\log ^2(\log (x))}} \left(512+(1-x) \log (x) \log ^3(\log (x))\right)}{e^{\frac{2 \left(256+x \log ^2(\log (x))\right)}{\log ^2(\log (x))}} \log (x) \log ^3(\log (x))+e^{\frac{256+x \log ^2(\log (x))}{\log ^2(\log (x))}} \left(-2 e^{e^{2 x}} \log (x)+2 x \log (x)\right) \log ^3(\log (x))+\left(e^{2 e^{2 x}} \log (x)-2 e^{e^{2 x}} x \log (x)+x^2 \log (x)\right) \log ^3(\log (x))} \, dx","Integrate[(E^E^(2*x)*(-1 + 2*E^(2*x)*x)*Log[x]*Log[Log[x]]^3 + E^((256 + x*Log[Log[x]]^2)/Log[Log[x]]^2)*(512 + (1 - x)*Log[x]*Log[Log[x]]^3))/(E^((2*(256 + x*Log[Log[x]]^2))/Log[Log[x]]^2)*Log[x]*Log[Log[x]]^3 + E^((256 + x*Log[Log[x]]^2)/Log[Log[x]]^2)*(-2*E^E^(2*x)*Log[x] + 2*x*Log[x])*Log[Log[x]]^3 + (E^(2*E^(2*x))*Log[x] - 2*E^E^(2*x)*x*Log[x] + x^2*Log[x])*Log[Log[x]]^3),x]","\frac{x}{x-e^{e^{2 x}}+e^{x+\frac{256}{\log ^2(\log (x))}}}","\frac{x}{x-e^{e^{2 x}}+e^{x+\frac{256}{\log ^2(\log (x))}}}",1,"x/(-E^E^(2*x) + E^(x + 256/Log[Log[x]]^2) + x)","A",1
9828,0,0,14,0.1835548,"\int \frac{1}{\left(22 x+x \log \left(\sqrt[3]{2} x\right)\right) \log \left(-22-\log \left(\sqrt[3]{2} x\right)\right)} \, dx","Integrate[1/((22*x + x*Log[2^(1/3)*x])*Log[-22 - Log[2^(1/3)*x]]),x]","\int \frac{1}{\left(22 x+x \log \left(\sqrt[3]{2} x\right)\right) \log \left(-22-\log \left(\sqrt[3]{2} x\right)\right)} \, dx","\log \left(\log \left(-\log \left(\sqrt[3]{2} x\right)-22\right)\right)",1,"Integrate[1/((22*x + x*Log[2^(1/3)*x])*Log[-22 - Log[2^(1/3)*x]]), x]","F",-1
9829,1,21,23,0.3031299,"\int \frac{e^{-e^x-x} \left(3-3 x-x^2+e^x \left(10-3 x-x^2\right)\right)}{4-4 x+x^2} \, dx","Integrate[(E^(-E^x - x)*(3 - 3*x - x^2 + E^x*(10 - 3*x - x^2)))/(4 - 4*x + x^2),x]","e^{-x-e^x} \left(\frac{7}{x-2}+1\right)","\frac{2 e^{-x-e^x} (x+5)}{2 x-4}",1,"E^(-E^x - x)*(1 + 7/(-2 + x))","A",1
9830,1,23,24,0.0422419,"\int \frac{-40 x+60 x^5+\frac{\left(-10+15 x^4\right)^5 \left(-100 x-1350 x^5\right)}{e}}{-8+12 x^4+\frac{\left(-10+15 x^4\right)^5 \left(-40+60 x^4\right)}{e}+\frac{\left(-10+15 x^4\right)^{10} \left(-50+75 x^4\right)}{e^2}} \, dx","Integrate[(-40*x + 60*x^5 + ((-10 + 15*x^4)^5*(-100*x - 1350*x^5))/E)/(-8 + 12*x^4 + ((-10 + 15*x^4)^5*(-40 + 60*x^4))/E + ((-10 + 15*x^4)^10*(-50 + 75*x^4))/E^2),x]","\frac{10 e x^2}{31250 \left(3 x^4-2\right)^5+4 e}","\frac{x^2}{\frac{3125 \left(3 x^4-2\right)^5}{e}+\frac{2}{5}}",1,"(10*E*x^2)/(4*E + 31250*(-2 + 3*x^4)^5)","A",1
9831,1,29,19,0.140171,"\int \frac{-18 x^2+60 x^3+e^{e^x} \left(12 x-30 x^2+e^x \left(6 x^2-30 x^3\right)\right)}{1-10 x+25 x^2} \, dx","Integrate[(-18*x^2 + 60*x^3 + E^E^x*(12*x - 30*x^2 + E^x*(6*x^2 - 30*x^3)))/(1 - 10*x + 25*x^2),x]","-\frac{6 \left(125 x^3-125 e^{e^x} x^2-5 x+1\right)}{125-625 x}","\frac{6 \left(e^{e^x}-x\right) x}{\frac{1}{x}-5}",1,"(-6*(1 - 5*x - 125*E^E^x*x^2 + 125*x^3))/(125 - 625*x)","A",1
9832,1,31,26,0.4395351,"\int \frac{24+e^x (-24-12 x)+12 x+e^2 (24+12 x)+e^{-3+2 x} (24+12 x)+\left(-12 x-12 e^2 x+e^x \left(-12 x-12 x^2\right)+e^{-3+2 x} \left(36 x+24 x^2\right)\right) \log (x)}{4 x+4 x^2+x^3} \, dx","Integrate[(24 + E^x*(-24 - 12*x) + 12*x + E^2*(24 + 12*x) + E^(-3 + 2*x)*(24 + 12*x) + (-12*x - 12*E^2*x + E^x*(-12*x - 12*x^2) + E^(-3 + 2*x)*(36*x + 24*x^2))*Log[x])/(4*x + 4*x^2 + x^3),x]","\frac{12 \left(e^{2 x}-e^{x+3}+e^3+e^5\right) \log (x)}{e^3 (x+2)}","\frac{12 \left(-e^x+e^{2 x-3}+1+e^2\right) \log (x)}{x+2}",1,"(12*(E^3 + E^5 + E^(2*x) - E^(3 + x))*Log[x])/(E^3*(2 + x))","A",1
9833,1,25,32,5.0425358,"\int \frac{e^{-x} \left(4 \log ^2(5)+\left(\left(-x-x^2\right) \log (3)+(4+4 x) \log ^2(5)\right) \log \left(\frac{-x \log (3)+4 \log ^2(5)}{x}\right)\right)}{-x^3 \log (3)+4 x^2 \log ^2(5)} \, dx","Integrate[(4*Log[5]^2 + ((-x - x^2)*Log[3] + (4 + 4*x)*Log[5]^2)*Log[(-(x*Log[3]) + 4*Log[5]^2)/x])/(E^x*(-(x^3*Log[3]) + 4*x^2*Log[5]^2)),x]","-\frac{e^{-x} \log \left(\frac{4 \log ^2(5)}{x}-\log (3)\right)}{x}","e^{-x} \left(e^{x+1}-\frac{\log \left(\frac{4 \log ^2(5)}{x}-\log (3)\right)}{x}\right)",1,"-(Log[-Log[3] + (4*Log[5]^2)/x]/(E^x*x))","A",1
9834,1,30,33,0.0862384,"\int \frac{-8 x^3-8 x^4+8 x^5+e^{e^2} \left(8 x^3-8 x^4\right)+\left(-16 x^3+16 e^{e^2} x^3-16 x^4\right) \log \left(\frac{5 e^x}{-3 x+3 e^{e^2} x-3 x^2}\right)}{\left(-1+e^{e^2}-x\right) \log ^3\left(\frac{5 e^x}{-3 x+3 e^{e^2} x-3 x^2}\right)} \, dx","Integrate[(-8*x^3 - 8*x^4 + 8*x^5 + E^E^2*(8*x^3 - 8*x^4) + (-16*x^3 + 16*E^E^2*x^3 - 16*x^4)*Log[(5*E^x)/(-3*x + 3*E^E^2*x - 3*x^2)])/((-1 + E^E^2 - x)*Log[(5*E^x)/(-3*x + 3*E^E^2*x - 3*x^2)]^3),x]","\frac{4 x^4}{\log ^2\left(-\frac{5 e^x}{3 x \left(x-e^{e^2}+1\right)}\right)}","4 \left(\frac{x^4}{\log ^2\left(\frac{5 e^x}{3 \left(-x+e^{e^2}-1\right) x}\right)}-2\right)",1,"(4*x^4)/Log[(-5*E^x)/(3*x*(1 - E^E^2 + x))]^2","A",1
9835,1,22,21,0.0745584,"\int \frac{14-4 x}{5+e^{-3+x}-2 x} \, dx","Integrate[(14 - 4*x)/(5 + E^(-3 + x) - 2*x),x]","2 x-2 \log \left(-2 e^3 x+e^x+5 e^3\right)","2 \left(x-\log \left(-2 x+e^{x-3}+5\right)+e^3-2\right)",1,"2*x - 2*Log[5*E^3 + E^x - 2*E^3*x]","A",1
9836,0,0,27,1.8231826,"\int e^{60 x^2 \log \left(\frac{3}{x}\right)+4 x^2 \log \left(\frac{3}{x}\right) \log (x)} \left(1-60 x^2+124 x^2 \log \left(\frac{3}{x}\right)+\left(-4 x^2+8 x^2 \log \left(\frac{3}{x}\right)\right) \log (x)\right) \, dx","Integrate[E^(60*x^2*Log[3/x] + 4*x^2*Log[3/x]*Log[x])*(1 - 60*x^2 + 124*x^2*Log[3/x] + (-4*x^2 + 8*x^2*Log[3/x])*Log[x]),x]","\int e^{60 x^2 \log \left(\frac{3}{x}\right)+4 x^2 \log \left(\frac{3}{x}\right) \log (x)} \left(1-60 x^2+124 x^2 \log \left(\frac{3}{x}\right)+\left(-4 x^2+8 x^2 \log \left(\frac{3}{x}\right)\right) \log (x)\right) \, dx","3^{4 x^2 (\log (x)+15)} \left(\frac{1}{x}\right)^{4 x^2 (\log (x)+15)-1}",1,"Integrate[E^(60*x^2*Log[3/x] + 4*x^2*Log[3/x]*Log[x])*(1 - 60*x^2 + 124*x^2*Log[3/x] + (-4*x^2 + 8*x^2*Log[3/x])*Log[x]), x]","F",-1
9837,1,10,17,0.0018139,"\int \left(3 x^2+x^4+5 x^4 \log (x)\right) \, dx","Integrate[3*x^2 + x^4 + 5*x^4*Log[x],x]","x^5 \log (x)+x^3","x \left(x^4 \log (x)+x^2+\frac{2}{x}\right)",1,"x^3 + x^5*Log[x]","A",1
9838,1,33,26,0.0349683,"\int \frac{144-144 x+38 x^2+e^4 \left(12-12 x+3 x^2\right)}{144 x-128 x^2+18 x^3+5 x^4+e^4 \left(12 x-12 x^2+3 x^3\right)} \, dx","Integrate[(144 - 144*x + 38*x^2 + E^4*(12 - 12*x + 3*x^2))/(144*x - 128*x^2 + 18*x^3 + 5*x^4 + E^4*(12*x - 12*x^2 + 3*x^3)),x]","-\log \left(-5 x^2-3 e^4 x-28 x+6 e^4+72\right)+\log (2-x)+\log (x)","\log \left(\frac{2}{\frac{x}{x-2}-\frac{3 \left(-12-e^4\right)}{x}+4}\right)",1,"Log[2 - x] + Log[x] - Log[72 + 6*E^4 - 28*x - 3*E^4*x - 5*x^2]","A",1
9839,1,20,25,0.2593885,"\int \frac{-16-24 x-65 x^2-36 x^3-4 x^4+\left(8+2 x+16 x^2+8 x^3\right) \log (x)-\log ^2(x)}{16 x^2+8 x^3+x^4+\left(-8 x^2-2 x^3\right) \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(-16 - 24*x - 65*x^2 - 36*x^3 - 4*x^4 + (8 + 2*x + 16*x^2 + 8*x^3)*Log[x] - Log[x]^2)/(16*x^2 + 8*x^3 + x^4 + (-8*x^2 - 2*x^3)*Log[x] + x^2*Log[x]^2),x]","\frac{1}{x}+\frac{4 (x+2)^2}{-x+\log (x)-4}","\frac{x+\frac{x (2 x+4)^2}{-x+\log (x)-4}+1}{x}",1,"x^(-1) + (4*(2 + x)^2)/(-4 - x + Log[x])","A",1
9840,1,23,26,0.0192424,"\int \frac{36 x^4+e^{32} \left(-2 x+2 x^2\right)+e^{16} \left(6 x^2-18 x^3\right)+\left(e^{32} (2-2 x)+12 e^{16} x^2\right) \log (x)}{9 x} \, dx","Integrate[(36*x^4 + E^32*(-2*x + 2*x^2) + E^16*(6*x^2 - 18*x^3) + (E^32*(2 - 2*x) + 12*E^16*x^2)*Log[x])/(9*x),x]","\frac{1}{9} \left(\left(e^{16}-3 x\right) x-e^{16} \log (x)\right)^2","x^2 \left(x+\frac{e^{16} (\log (x)-x)}{3 x}\right)^2+1",1,"((E^16 - 3*x)*x - E^16*Log[x])^2/9","A",1
9841,1,24,17,0.1913756,"\int \frac{2 e^{e^5}-4 e^{e^5} \log (x)}{5 e^7 x^3+2 e^{e^5} x \log (x)} \, dx","Integrate[(2*E^E^5 - 4*E^E^5*Log[x])/(5*E^7*x^3 + 2*E^E^5*x*Log[x]),x]","\log \left(5 e^7 x^2+2 e^{e^5} \log (x)\right)-2 \log (x)","\log \left(\frac{2 e^{e^5-7} \log (x)}{x^2}+5\right)",1,"-2*Log[x] + Log[5*E^7*x^2 + 2*E^E^5*Log[x]]","A",1
9842,1,24,24,0.8769939,"\int \frac{e^x \left(-784-170 x-34 x^2-2 x^3+\left(196+28 x+x^2\right) \log (4)\right)+e^x \left(112+12 x+2 x^2+(-28-2 x) \log (4)\right) \log (3 x)+e^x (-4+\log (4)) \log ^2(3 x)}{196+28 x+x^2+(-28-2 x) \log (3 x)+\log ^2(3 x)} \, dx","Integrate[(E^x*(-784 - 170*x - 34*x^2 - 2*x^3 + (196 + 28*x + x^2)*Log[4]) + E^x*(112 + 12*x + 2*x^2 + (-28 - 2*x)*Log[4])*Log[3*x] + E^x*(-4 + Log[4])*Log[3*x]^2)/(196 + 28*x + x^2 + (-28 - 2*x)*Log[3*x] + Log[3*x]^2),x]","e^x \left(-\frac{2 x^2}{x-\log (3 x)+14}-4+\log (4)\right)","e^x \left(\frac{2 x^2}{-x+\log (3 x)-14}-4+\log (4)\right)",1,"E^x*(-4 + Log[4] - (2*x^2)/(14 + x - Log[3*x]))","A",1
9843,1,28,29,0.0530438,"\int \frac{24 x+6 x^2-21 x^3+5 x^4+5 x^5+\left(4+6 x-5 x^2-5 x^3\right) \log \left(\frac{-100+100 x}{\left(16+80 x+140 x^2+100 x^3+25 x^4\right) \log (2)}\right)}{-4 x^2-6 x^3+5 x^4+5 x^5} \, dx","Integrate[(24*x + 6*x^2 - 21*x^3 + 5*x^4 + 5*x^5 + (4 + 6*x - 5*x^2 - 5*x^3)*Log[(-100 + 100*x)/((16 + 80*x + 140*x^2 + 100*x^3 + 25*x^4)*Log[2])])/(-4*x^2 - 6*x^3 + 5*x^4 + 5*x^5),x]","\frac{\log \left(\frac{100 (x-1)}{\left(5 x^2+10 x+4\right)^2 \log (2)}\right)}{x}+x","\frac{\log \left(\frac{4 (x-1)}{\left(x^2+2 x+\frac{4}{5}\right)^2 \log (2)}\right)}{x}+x+5",1,"x + Log[(100*(-1 + x))/((4 + 10*x + 5*x^2)^2*Log[2])]/x","A",1
9844,1,169,29,0.1444079,"\int \frac{-256000-153600 x-30720 x^2-2048 x^3-4000 x^4+7200 x^5+5600 x^6+1280 x^7+96 x^8+200 x^9-2 e^4 x^9+290 x^{10}+148 x^{11}+30 x^{12}+2 x^{13}+e^2 \left(-3200 x^4-1440 x^5-160 x^6-50 x^8-60 x^9-14 x^{10}\right)+e^8 \left(-16000 x^4-9600 x^5-1920 x^6-128 x^7-250 x^8-350 x^9-170 x^{10}-32 x^{11}-2 x^{12}+e^2 \left(-10 x^9-2 x^{10}\right)\right)+\left(16000 x^4+9600 x^5+1920 x^6+128 x^7+250 x^8+350 x^9+170 x^{10}+32 x^{11}+2 x^{12}+e^2 \left(10 x^9+2 x^{10}\right)\right) \log (x)}{125 x^9+75 x^{10}+15 x^{11}+x^{12}} \, dx","Integrate[(-256000 - 153600*x - 30720*x^2 - 2048*x^3 - 4000*x^4 + 7200*x^5 + 5600*x^6 + 1280*x^7 + 96*x^8 + 200*x^9 - 2*E^4*x^9 + 290*x^10 + 148*x^11 + 30*x^12 + 2*x^13 + E^2*(-3200*x^4 - 1440*x^5 - 160*x^6 - 50*x^8 - 60*x^9 - 14*x^10) + E^8*(-16000*x^4 - 9600*x^5 - 1920*x^6 - 128*x^7 - 250*x^8 - 350*x^9 - 170*x^10 - 32*x^11 - 2*x^12 + E^2*(-10*x^9 - 2*x^10)) + (16000*x^4 + 9600*x^5 + 1920*x^6 + 128*x^7 + 250*x^8 + 350*x^9 + 170*x^10 + 32*x^11 + 2*x^12 + E^2*(10*x^9 + 2*x^10))*Log[x])/(125*x^9 + 75*x^10 + 15*x^11 + x^12),x]","2 \left(\frac{128}{x^8}+\frac{16 e^2 \left(1+5 e^6\right)}{5 x^4}-\frac{16 \left(20+e^2\right)}{25 x^3}+\frac{x^2}{2}+\frac{16 \left(e^2-5\right)}{125 x^2}+\frac{\left(x^6+5 x^5-\left(e^2-5\right) x^4-16 x-80\right) \log (x)}{(x+5) x^4}-\left(1+e^8\right) x+\frac{-18830+3766 e^2-3125 e^8+625 e^{10}}{625 (x+5)}+\frac{\left(e^2-5\right)^2}{2 (x+5)^2}-\frac{16 \left(e^2-5\right)}{625 x}+\frac{\log ^2(x)}{2}-\left(1+e^8\right) \log (x)\right)","\left(\frac{16}{x^4}-x+\frac{x+e^2}{x+5}-\log (x)+e^8\right)^2",1,"2*(128/x^8 + (16*E^2*(1 + 5*E^6))/(5*x^4) - (16*(20 + E^2))/(25*x^3) + (16*(-5 + E^2))/(125*x^2) - (16*(-5 + E^2))/(625*x) - (1 + E^8)*x + x^2/2 + (-5 + E^2)^2/(2*(5 + x)^2) + (-18830 + 3766*E^2 - 3125*E^8 + 625*E^10)/(625*(5 + x)) - (1 + E^8)*Log[x] + ((-80 - 16*x - (-5 + E^2)*x^4 + 5*x^5 + x^6)*Log[x])/(x^4*(5 + x)) + Log[x]^2/2)","B",1
9845,1,25,25,1.1292979,"\int \frac{e^{e^{e^2} \left(100-2 e^x+x\right)} \left(-5+e^{e^2} \left(5 x-10 e^x x\right)\right)}{e^{2 e^{e^2} \left(100-2 e^x+x\right)}-2 e^{e^{e^2} \left(100-2 e^x+x\right)} x+x^2} \, dx","Integrate[(E^(E^E^2*(100 - 2*E^x + x))*(-5 + E^E^2*(5*x - 10*E^x*x)))/(E^(2*E^E^2*(100 - 2*E^x + x)) - 2*E^(E^E^2*(100 - 2*E^x + x))*x + x^2),x]","-\frac{5 x}{e^{e^{e^2} \left(x-2 e^x+100\right)}-x}","\frac{5 x}{x-e^{e^{e^2} \left(x-2 e^x+100\right)}}",1,"(-5*x)/(E^(E^E^2*(100 - 2*E^x + x)) - x)","A",1
9846,1,61,30,0.7404625,"\int \frac{\exp \left(-\frac{2 \left(-5 x+\left(25+40 x+16 x^2+e^{2 x} x^2+e^x \left(10 x+8 x^2\right)\right) \log ^2(x)\right)}{x}\right) \left(\exp \left(\frac{2 \left(-5 x+\left(25+40 x+16 x^2+e^{2 x} x^2+e^x \left(10 x+8 x^2\right)\right) \log ^2(x)\right)}{x}\right) \left(2 x^2+2 x^3\right)+\left(-900-1440 x-576 x^2-36 e^{2 x} x^2+e^x \left(-360 x-288 x^2\right)\right) \log (x)+\left(450-288 x^2+e^x \left(-324 x^2-144 x^3\right)+e^{2 x} \left(-18 x^2-36 x^3\right)\right) \log ^2(x)+\exp \left(\frac{-5 x+\left(25+40 x+16 x^2+e^{2 x} x^2+e^x \left(10 x+8 x^2\right)\right) \log ^2(x)}{x}\right) \left(6 x^2+\left(-300-780 x-672 x^2-192 x^3+e^x \left(-120 x-216 x^2-96 x^3\right)+e^{2 x} \left(-12 x^2-12 x^3\right)\right) \log (x)+\left(150+150 x-96 x^2-96 x^3+e^x \left(-108 x^2-156 x^3-48 x^4\right)+e^{2 x} \left(-6 x^2-18 x^3-12 x^4\right)\right) \log ^2(x)\right)\right)}{x^2} \, dx","Integrate[(E^((2*(-5*x + (25 + 40*x + 16*x^2 + E^(2*x)*x^2 + E^x*(10*x + 8*x^2))*Log[x]^2))/x)*(2*x^2 + 2*x^3) + (-900 - 1440*x - 576*x^2 - 36*E^(2*x)*x^2 + E^x*(-360*x - 288*x^2))*Log[x] + (450 - 288*x^2 + E^x*(-324*x^2 - 144*x^3) + E^(2*x)*(-18*x^2 - 36*x^3))*Log[x]^2 + E^((-5*x + (25 + 40*x + 16*x^2 + E^(2*x)*x^2 + E^x*(10*x + 8*x^2))*Log[x]^2)/x)*(6*x^2 + (-300 - 780*x - 672*x^2 - 192*x^3 + E^x*(-120*x - 216*x^2 - 96*x^3) + E^(2*x)*(-12*x^2 - 12*x^3))*Log[x] + (150 + 150*x - 96*x^2 - 96*x^3 + E^x*(-108*x^2 - 156*x^3 - 48*x^4) + E^(2*x)*(-6*x^2 - 18*x^3 - 12*x^4))*Log[x]^2))/(E^((2*(-5*x + (25 + 40*x + 16*x^2 + E^(2*x)*x^2 + E^x*(10*x + 8*x^2))*Log[x]^2))/x)*x^2),x]","x (x+2)+6 (x+1) e^{5-\frac{\left(\left(e^x+4\right) x+5\right)^2 \log ^2(x)}{x}}+9 e^{10-\frac{2 \left(\left(e^x+4\right) x+5\right)^2 \log ^2(x)}{x}}","\left(x+3 e^{5-\left(e^x+\frac{5}{x}+4\right)^2 x \log ^2(x)}+1\right)^2",1,"9*E^(10 - (2*(5 + (4 + E^x)*x)^2*Log[x]^2)/x) + 6*E^(5 - ((5 + (4 + E^x)*x)^2*Log[x]^2)/x)*(1 + x) + x*(2 + x)","B",1
9847,1,34,32,0.160566,"\int \frac{e^x \left(-20-12 x+4 x^2\right)+e^x (12+8 x) \log (x)+e^{e^{-x} x} \left(-e^x+x^2-x^3+\left(e^x+x-x^2\right) \log (x)\right)+\left(4 e^x-4 e^x \log (x)\right) \log \left(2 x^2\right)}{4 e^x x^2+8 e^x x \log (x)+4 e^x \log ^2(x)} \, dx","Integrate[(E^x*(-20 - 12*x + 4*x^2) + E^x*(12 + 8*x)*Log[x] + E^(x/E^x)*(-E^x + x^2 - x^3 + (E^x + x - x^2)*Log[x]) + (4*E^x - 4*E^x*Log[x])*Log[2*x^2])/(4*E^x*x^2 + 8*E^x*x*Log[x] + 4*E^x*Log[x]^2),x]","\frac{x \left(-4 \log \left(2 x^2\right)+4 (x+5)+e^{e^{-x} x}\right)}{4 (x+\log (x))}","\frac{x \left(-\log \left(2 x^2\right)+x+\frac{1}{4} e^{e^{-x} x}+5\right)}{x+\log (x)}",1,"(x*(E^(x/E^x) + 4*(5 + x) - 4*Log[2*x^2]))/(4*(x + Log[x]))","A",1
9848,1,13,20,0.0044023,"\int -\frac{60}{-21+20 e^4-15 x} \, dx","Integrate[-60/(-21 + 20*E^4 - 15*x),x]","4 \log \left(15 x-20 e^4+21\right)","4 \log \left(\frac{1}{4} \left(x-\frac{1}{5}\right)-x+e^4-1\right)",1,"4*Log[21 - 20*E^4 + 15*x]","A",1
9849,1,121,25,0.0955132,"\int \frac{2 x-7 x^2+3 x^3+e^3 \left(4 x^3-32 x^4+48 x^5-20 x^6\right)+e^6 \left(-28 x^6+84 x^7-84 x^8+28 x^9\right)+\left(-2+10 x-12 x^2+4 x^3+e^3 \left(16 x^3-48 x^4+48 x^5-16 x^6\right)\right) \log (x)+\left(-1+3 x-3 x^2+x^3\right) \log ^2(x)}{-1+3 x-3 x^2+x^3} \, dx","Integrate[(2*x - 7*x^2 + 3*x^3 + E^3*(4*x^3 - 32*x^4 + 48*x^5 - 20*x^6) + E^6*(-28*x^6 + 84*x^7 - 84*x^8 + 28*x^9) + (-2 + 10*x - 12*x^2 + 4*x^3 + E^3*(16*x^3 - 48*x^4 + 48*x^5 - 16*x^6))*Log[x] + (-1 + 3*x - 3*x^2 + x^3)*Log[x]^2)/(-1 + 3*x - 3*x^2 + x^3),x]","4 e^6 x^7-4 e^3 x^4-4 e^3 x^4 \log (x)-4 e^3 x^3-4 e^3 x^2-4 e^3 x+x-\frac{4 e^3}{x-1}+\frac{3}{x-1}+\frac{1}{(x-1)^2}+x \log ^2(x)+2 x \log (x)-2 \log (1-x)+2 \log (x-1)+\frac{2 \log (x)}{x-1}+2 \log (x)-4 e^6+17 e^3-3","x \left(2 e^3 x^3-\frac{x}{x-1}-\log (x)\right)^2",1,"-3 + 17*E^3 - 4*E^6 + (-1 + x)^(-2) + 3/(-1 + x) - (4*E^3)/(-1 + x) + x - 4*E^3*x - 4*E^3*x^2 - 4*E^3*x^3 - 4*E^3*x^4 + 4*E^6*x^7 - 2*Log[1 - x] + 2*Log[-1 + x] + 2*Log[x] + (2*Log[x])/(-1 + x) + 2*x*Log[x] - 4*E^3*x^4*Log[x] + x*Log[x]^2","B",1
9850,1,54,20,0.0246755,"\int \frac{400+150 x}{-100 x-25 x^2+\left(64 x^5+48 x^6+12 x^7+x^8\right) \log ^2(\log (4))} \, dx","Integrate[(400 + 150*x)/(-100*x - 25*x^2 + (64*x^5 + 48*x^6 + 12*x^7 + x^8)*Log[Log[4]]^2),x]","50 \left(\frac{1}{50} \log \left(x^6 \left(-\log ^2(\log (4))\right)-8 x^5 \log ^2(\log (4))-16 x^4 \log ^2(\log (4))+25\right)-\frac{2 \log (x)}{25}-\frac{1}{25} \log (x+4)\right)","\log \left(8 \left(\frac{25}{x^4 (x+4)^2 \log ^2(\log (4))}-1\right)\right)",1,"50*((-2*Log[x])/25 - Log[4 + x]/25 + Log[25 - 16*x^4*Log[Log[4]]^2 - 8*x^5*Log[Log[4]]^2 - x^6*Log[Log[4]]^2]/50)","B",1
9851,1,27,25,0.0491442,"\int \frac{500 x^2+e^{5/x} \left(150000+33000 x+1815 x^2\right)}{30000 x^2+6600 x^3+363 x^4} \, dx","Integrate[(500*x^2 + E^(5/x)*(150000 + 33000*x + 1815*x^2))/(30000*x^2 + 6600*x^3 + 363*x^4),x]","\frac{5}{3} \left(-\frac{3 e^{5/x}}{5}-\frac{100}{11 (11 x+100)}\right)","\frac{x}{3 \left(\frac{11 x}{5}+20\right)}-e^{5/x}+8",1,"(5*((-3*E^(5/x))/5 - 100/(11*(100 + 11*x))))/3","A",1
9852,1,33,29,0.1935528,"\int \frac{e^{x^2} \left(-60 x^3+2 x^4\right)-2 x^3 \log (-30+x)+\left(30 x^2-x^3+e^{x^2} \left(120 x^3-4 x^4\right)\right) \log ^2(-30+x)+\left(30 x-31 x^2+x^3+e^{x^2} \left(-60 x^3+2 x^4\right)\right) \log ^4(-30+x)+\left(e^{x^2} \left(120 x^2-4 x^3\right) \log ^2(-30+x)+\left(-60 x+2 x^2+e^{x^2} \left(-120 x^2+4 x^3\right)\right) \log ^4(-30+x)\right) \log (x)+e^{x^2} \left(-60 x+2 x^2\right) \log ^4(-30+x) \log ^2(x)}{-30 x^2+x^3+\left(60 x^2-2 x^3\right) \log ^2(-30+x)+\left(-30 x^2+x^3\right) \log ^4(-30+x)+\left(\left(60 x-2 x^2\right) \log ^2(-30+x)+\left(-60 x+2 x^2\right) \log ^4(-30+x)\right) \log (x)+(-30+x) \log ^4(-30+x) \log ^2(x)} \, dx","Integrate[(E^x^2*(-60*x^3 + 2*x^4) - 2*x^3*Log[-30 + x] + (30*x^2 - x^3 + E^x^2*(120*x^3 - 4*x^4))*Log[-30 + x]^2 + (30*x - 31*x^2 + x^3 + E^x^2*(-60*x^3 + 2*x^4))*Log[-30 + x]^4 + (E^x^2*(120*x^2 - 4*x^3)*Log[-30 + x]^2 + (-60*x + 2*x^2 + E^x^2*(-120*x^2 + 4*x^3))*Log[-30 + x]^4)*Log[x] + E^x^2*(-60*x + 2*x^2)*Log[-30 + x]^4*Log[x]^2)/(-30*x^2 + x^3 + (60*x^2 - 2*x^3)*Log[-30 + x]^2 + (-30*x^2 + x^3)*Log[-30 + x]^4 + ((60*x - 2*x^2)*Log[-30 + x]^2 + (-60*x + 2*x^2)*Log[-30 + x]^4)*Log[x] + (-30 + x)*Log[-30 + x]^4*Log[x]^2),x]","e^{x^2}+\frac{x^2 \log ^2(x-30)}{\log ^2(x-30) (x+\log (x))-x}","e^{x^2}-\frac{x^2}{-x+\frac{x}{\log ^2(x-30)}-\log (x)}",1,"E^x^2 + (x^2*Log[-30 + x]^2)/(-x + Log[-30 + x]^2*(x + Log[x]))","A",1
9853,1,33,21,0.0515655,"\int \frac{48-98 x+53 x^2+15 x^3+\left(-440+314 x+286 x^2+45 x^3\right) \log (4+x)}{48+12 x} \, dx","Integrate[(48 - 98*x + 53*x^2 + 15*x^3 + (-440 + 314*x + 286*x^2 + 45*x^3)*Log[4 + x])/(48 + 12*x),x]","\frac{1}{12} \left(15 x^3 \log (x+4)+53 x^2 \log (x+4)+12 x-110 x \log (x+4)\right)","x-\left(\frac{11}{6}-\frac{5 x}{4}\right) x (x+5) \log (x+4)",1,"(12*x - 110*x*Log[4 + x] + 53*x^2*Log[4 + x] + 15*x^3*Log[4 + x])/12","A",1
9854,1,25,29,3.9833992,"\int \frac{2-2 x-2 e^{2-x} x+e^{4 x+x^2} \left(7 x-e^{2-x} x+4 x^2\right)+\left(-x-e^{2-x} x\right) \log (x)}{2 x+e^{4 x+x^2} x+x \log (x)} \, dx","Integrate[(2 - 2*x - 2*E^(2 - x)*x + E^(4*x + x^2)*(7*x - E^(2 - x)*x + 4*x^2) + (-x - E^(2 - x)*x)*Log[x])/(2*x + E^(4*x + x^2)*x + x*Log[x]),x]","-x+e^{2-x}+2 \log \left(e^{x (x+4)}+\log (x)+2\right)","-x+e^{2-x}+\log \left(\frac{1}{9} \left(e^{x (x+4)}+\log (x)+2\right)^2\right)",1,"E^(2 - x) - x + 2*Log[2 + E^(x*(4 + x)) + Log[x]]","A",1
9855,1,17,15,0.2413563,"\int \frac{-4-x^2-\log (2 x)}{\left(5 x-x^3+x \log (2 x)\right) \log \left(\frac{-5+x^2-\log (2 x)}{x}\right)} \, dx","Integrate[(-4 - x^2 - Log[2*x])/((5*x - x^3 + x*Log[2*x])*Log[(-5 + x^2 - Log[2*x])/x]),x]","\log \left(\log \left(\frac{x^2-\log (2 x)-5}{x}\right)\right)","\log \left(\log \left(x-\frac{\log (2 x)+5}{x}\right)\right)",1,"Log[Log[(-5 + x^2 - Log[2*x])/x]]","A",1
9856,1,15,15,0.1188029,"\int e^{20 e^{-2 x+9 x^3}-2 x+9 x^3} \left(-40+540 x^2\right) \, dx","Integrate[E^(20*E^(-2*x + 9*x^3) - 2*x + 9*x^3)*(-40 + 540*x^2),x]","e^{20 e^{9 x^3-2 x}}","e^{20 e^{9 x^3-2 x}}",1,"E^(20*E^(-2*x + 9*x^3))","A",1
9857,1,35,29,0.7225755,"\int \frac{24 x+72 x^2+48 x^3+32 x^5+80 x^6+64 x^7+16 x^8+e^x \left(64 x^4+192 x^5+256 x^6+192 x^7+64 x^8\right)}{9-24 x^4-24 x^5+16 x^8+32 x^9+16 x^{10}+e^{2 x} \left(256 x^6+512 x^7+256 x^8\right)+e^x \left(-96 x^3-96 x^4+128 x^7+256 x^8+128 x^9\right)} \, dx","Integrate[(24*x + 72*x^2 + 48*x^3 + 32*x^5 + 80*x^6 + 64*x^7 + 16*x^8 + E^x*(64*x^4 + 192*x^5 + 256*x^6 + 192*x^7 + 64*x^8))/(9 - 24*x^4 - 24*x^5 + 16*x^8 + 32*x^9 + 16*x^10 + E^(2*x)*(256*x^6 + 512*x^7 + 256*x^8) + E^x*(-96*x^3 - 96*x^4 + 128*x^7 + 256*x^8 + 128*x^9)),x]","-\frac{8 x^2 (x+1)^2}{8 x^5+8 x^4+32 e^x (x+1) x^3-6}","\frac{x+1}{\frac{3}{x^2 (4 x+4)}-x \left(x+4 e^x\right)}",1,"(-8*x^2*(1 + x)^2)/(-6 + 8*x^4 + 8*x^5 + 32*E^x*x^3*(1 + x))","A",1
9858,1,11,15,0.0055619,"\int -\frac{8}{144+192 x+64 x^2+(-24-16 x) \log (16)+\log ^2(16)} \, dx","Integrate[-8/(144 + 192*x + 64*x^2 + (-24 - 16*x)*Log[16] + Log[16]^2),x]","-\frac{1}{-8 x-12+\log (16)}","\frac{1}{2 x+6 (x+2)-\log (16)}",1,"-(-12 - 8*x + Log[16])^(-1)","A",1
9859,1,32,27,0.2036076,"\int \frac{\left(-125-55 x-6 x^2+50 x^4+20 x^5+2 x^6\right) \log (4)+\left(-5 x+200 x^4+80 x^5+8 x^6\right) \log (4) \log (x) \log \left(\frac{2}{\log (x)}\right)}{\left(25 x+10 x^2+x^3\right) \log (x) \log ^2\left(\frac{2}{\log (x)}\right)} \, dx","Integrate[((-125 - 55*x - 6*x^2 + 50*x^4 + 20*x^5 + 2*x^6)*Log[4] + (-5*x + 200*x^4 + 80*x^5 + 8*x^6)*Log[4]*Log[x]*Log[2/Log[x]])/((25*x + 10*x^2 + x^3)*Log[x]*Log[2/Log[x]]^2),x]","\frac{\left(2 x^5+10 x^4-6 x-25\right) \log (4)}{(x+5) \log \left(\frac{2}{\log (x)}\right)}","\frac{\left(2 x^4-\frac{x}{x+5}-5\right) \log (4)}{\log \left(\frac{2}{\log (x)}\right)}",1,"((-25 - 6*x + 10*x^4 + 2*x^5)*Log[4])/((5 + x)*Log[2/Log[x]])","A",1
9860,1,25,28,0.4486971,"\int \frac{-750+750 x-247 x^2+150 x^3+3 x^4+\left(750-30 x+780 x^2-530 x^3+30 x^4\right) \log (x)+\left(75-150 x+150 x^2-150 x^3+75 x^4\right) \log ^2(x)}{x^2+\left(-10 x+10 x^2\right) \log (x)+\left(25-50 x+25 x^2\right) \log ^2(x)} \, dx","Integrate[(-750 + 750*x - 247*x^2 + 150*x^3 + 3*x^4 + (750 - 30*x + 780*x^2 - 530*x^3 + 30*x^4)*Log[x] + (75 - 150*x + 150*x^2 - 150*x^3 + 75*x^4)*Log[x]^2)/(x^2 + (-10*x + 10*x^2)*Log[x] + (25 - 50*x + 25*x^2)*Log[x]^2),x]","x \left(x^2-\frac{50 \left(x^2+3\right)}{x+5 (x-1) \log (x)}+3\right)","\left(x^2+3\right) \left(x-\frac{2 x}{\frac{x}{25}+\frac{1}{5} (x-1) \log (x)}\right)",1,"x*(3 + x^2 - (50*(3 + x^2))/(x + 5*(-1 + x)*Log[x]))","A",1
9861,1,19,19,0.0165207,"\int \frac{e^{\frac{25-320 x+128 x^2-64 x \log (x)}{64 x}} \left(-25-64 x+128 x^2\right)}{16 x^2} \, dx","Integrate[(E^((25 - 320*x + 128*x^2 - 64*x*Log[x])/(64*x))*(-25 - 64*x + 128*x^2))/(16*x^2),x]","\frac{4 e^{2 x+\frac{25}{64 x}-5}}{x}","\frac{4 e^{2 x+\frac{25}{64 x}-5}}{x}",1,"(4*E^(-5 + 25/(64*x) + 2*x))/x","A",1
9862,1,19,20,0.0519598,"\int \left(1+59049 e^{-e^{-3+4 x}+2 x} \left(-2+4 e^{-3+4 x}\right)\right) \, dx","Integrate[1 + 59049*E^(-E^(-3 + 4*x) + 2*x)*(-2 + 4*E^(-3 + 4*x)),x]","x-59049 e^{2 x-e^{4 x-3}}","x-59049 e^{2 x-e^{4 x-3}}-1",1,"-59049*E^(-E^(-3 + 4*x) + 2*x) + x","A",1
9863,1,28,29,0.0095079,"\int \frac{5+e^2 \left(5-100 x-90 x^2-20 x^3\right)+5 e^2 \log (4)}{e^2} \, dx","Integrate[(5 + E^2*(5 - 100*x - 90*x^2 - 20*x^3) + 5*E^2*Log[4])/E^2,x]","5 \left(-x^4-6 x^3-10 x^2+\frac{x}{e^2}+x+x \log (4)\right)","5 \left(-x^2 (x+3)^2+\frac{x}{e^2}+x-x (x-\log (4))+6\right)",1,"5*(x + x/E^2 - 10*x^2 - 6*x^3 - x^4 + x*Log[4])","A",1
9864,1,15,19,0.0091507,"\int \frac{-432+216 x-3 x^2+36 \log (5)}{1296-72 x+x^2} \, dx","Integrate[(-432 + 216*x - 3*x^2 + 36*Log[5])/(1296 - 72*x + x^2),x]","-3 \left(x+\frac{12 (96+\log (5))}{x-36}\right)","\frac{x (3 (4-x)-\log (5))}{x-36}",1,"-3*(x + (12*(96 + Log[5]))/(-36 + x))","A",1
9865,1,21,19,0.0233083,"\int \left(2 e^{16+2 x}+e^{8+x} (2+2 x)\right) \, dx","Integrate[2*E^(16 + 2*x) + E^(8 + x)*(2 + 2*x),x]","2 \left(e^{x+8} x+\frac{1}{2} e^{2 x+16}\right)","-x^2+\left(x+e^{x+8}\right)^2+4 \log (2)",1,"2*(E^(16 + 2*x)/2 + E^(8 + x)*x)","A",1
9866,1,24,21,0.0072713,"\int \left(3+e^{2+e^3}+e^x (-1-x)-2 x\right) \, dx","Integrate[3 + E^(2 + E^3) + E^x*(-1 - x) - 2*x,x]","-x^2-e^x x+e^{2+e^3} x+3 x","\left(-x-e^x+e^{2+e^3}+3\right) x-4",1,"3*x + E^(2 + E^3)*x - E^x*x - x^2","A",1
9867,1,34,25,0.0823976,"\int \frac{2 x^2+e^{-4+5 x} \left(2-10 x+\left(-9+45 x+15 x^2\right) \log (2)\right)}{x^2} \, dx","Integrate[(2*x^2 + E^(-4 + 5*x)*(2 - 10*x + (-9 + 45*x + 15*x^2)*Log[2]))/x^2,x]","\frac{e^{5 x-4} \left(15 x^2 \log (2)+x (45 \log (2)-10)\right)}{5 x^2}+2 x","2 x+\frac{e^{5 x-4} (3 (x+3) \log (2)-2)}{x}+3",1,"2*x + (E^(-4 + 5*x)*(15*x^2*Log[2] + x*(-10 + 45*Log[2])))/(5*x^2)","A",1
9868,0,0,24,0.7317682,"\int \frac{\exp \left(\frac{e^3 (-5+5 x)-3 e^3 \log (3)-3 e^3 \log \left(3 x^2\right)}{-1+x}\right) \left(e^3 (6-6 x)+3 e^3 x \log (3)+3 e^3 x \log \left(3 x^2\right)\right)}{x-2 x^2+x^3} \, dx","Integrate[(E^((E^3*(-5 + 5*x) - 3*E^3*Log[3] - 3*E^3*Log[3*x^2])/(-1 + x))*(E^3*(6 - 6*x) + 3*E^3*x*Log[3] + 3*E^3*x*Log[3*x^2]))/(x - 2*x^2 + x^3),x]","\int \frac{\exp \left(\frac{e^3 (-5+5 x)-3 e^3 \log (3)-3 e^3 \log \left(3 x^2\right)}{-1+x}\right) \left(e^3 (6-6 x)+3 e^3 x \log (3)+3 e^3 x \log \left(3 x^2\right)\right)}{x-2 x^2+x^3} \, dx","e^{e^3 \left(5-\frac{3 \left(\log \left(3 x^2\right)+\log (3)\right)}{x-1}\right)}",1,"Integrate[(E^((E^3*(-5 + 5*x) - 3*E^3*Log[3] - 3*E^3*Log[3*x^2])/(-1 + x))*(E^3*(6 - 6*x) + 3*E^3*x*Log[3] + 3*E^3*x*Log[3*x^2]))/(x - 2*x^2 + x^3), x]","F",-1
9869,1,10,19,0.005814,"\int e^{-16 x} \left(675 x^2-3600 x^3\right) \, dx","Integrate[(675*x^2 - 3600*x^3)/E^(16*x),x]","225 e^{-16 x} x^3","225 e^{-16 x} x^3-e^5-2+\log (4)",1,"(225*x^3)/E^(16*x)","A",1
9870,1,29,30,0.4095638,"\int \frac{\left(-75-53 x-2 x^2\right) \log ^2(25+x)+\left(-15 x-5 x^2\right) \log \left(\frac{1}{3} \left(-3 x-x^2\right)\right)+\left(-1125-420 x-15 x^2\right) \log (25+x) \log \left(\frac{1}{3} \left(-3 x-x^2\right)\right)+\left(225+84 x+3 x^2\right) \log ^2(25+x) \log \left(\frac{1}{3} \left(-3 x-x^2\right)\right) \log \left(\log \left(\frac{1}{3} \left(-3 x-x^2\right)\right)\right)+\left(\left(375+140 x+5 x^2\right) \log (25+x) \log \left(\frac{1}{3} \left(-3 x-x^2\right)\right)+\left(-75-28 x-x^2\right) \log ^2(25+x) \log \left(\frac{1}{3} \left(-3 x-x^2\right)\right) \log \left(\log \left(\frac{1}{3} \left(-3 x-x^2\right)\right)\right)\right) \log \left(\frac{5-\log (25+x) \log \left(\log \left(\frac{1}{3} \left(-3 x-x^2\right)\right)\right)}{\log (25+x)}\right)}{\left(-375-140 x-5 x^2\right) \log (25+x) \log \left(\frac{1}{3} \left(-3 x-x^2\right)\right)+\left(75+28 x+x^2\right) \log ^2(25+x) \log \left(\frac{1}{3} \left(-3 x-x^2\right)\right) \log \left(\log \left(\frac{1}{3} \left(-3 x-x^2\right)\right)\right)} \, dx","Integrate[((-75 - 53*x - 2*x^2)*Log[25 + x]^2 + (-15*x - 5*x^2)*Log[(-3*x - x^2)/3] + (-1125 - 420*x - 15*x^2)*Log[25 + x]*Log[(-3*x - x^2)/3] + (225 + 84*x + 3*x^2)*Log[25 + x]^2*Log[(-3*x - x^2)/3]*Log[Log[(-3*x - x^2)/3]] + ((375 + 140*x + 5*x^2)*Log[25 + x]*Log[(-3*x - x^2)/3] + (-75 - 28*x - x^2)*Log[25 + x]^2*Log[(-3*x - x^2)/3]*Log[Log[(-3*x - x^2)/3]])*Log[(5 - Log[25 + x]*Log[Log[(-3*x - x^2)/3]])/Log[25 + x]])/((-375 - 140*x - 5*x^2)*Log[25 + x]*Log[(-3*x - x^2)/3] + (75 + 28*x + x^2)*Log[25 + x]^2*Log[(-3*x - x^2)/3]*Log[Log[(-3*x - x^2)/3]]),x]","3 x-x \log \left(\frac{5}{\log (x+25)}-\log \left(\log \left(-\frac{1}{3} x (x+3)\right)\right)\right)","x \left(3-\log \left(\frac{5}{\log (x+25)}-\log \left(\log \left(\frac{1}{3} (-x-3) x\right)\right)\right)\right)",1,"3*x - x*Log[5/Log[25 + x] - Log[Log[-1/3*(x*(3 + x))]]]","A",1
9871,1,32,28,0.0355182,"\int \frac{e^{-x} \left(-5 x+e^x \left(e^{4/x} (4-x)+e^4 x-2 x^2\right)\right)}{5 x} \, dx","Integrate[(-5*x + E^x*(E^(4/x)*(4 - x) + E^4*x - 2*x^2))/(5*E^x*x),x]","\frac{1}{5} \left(-x^2-e^{4/x} x+e^4 x+5 e^{-x}\right)","\frac{1}{5} \left(-x-e^{4/x}+e^4\right) x+e^{-x}+2",1,"(5/E^x + E^4*x - E^(4/x)*x - x^2)/5","A",1
9872,1,24,25,0.2128434,"\int \frac{-8 x-40 x^2+(-1-10 x) \log ^2(x)+\left(-4-20 x+(1+5 x) \log ^2(x)\right) \log \left(x+5 x^2\right)}{\left(2 x^2+10 x^3\right) \log ^2(x)+\left(x+5 x^2\right) \log ^2(x) \log \left(x+5 x^2\right)} \, dx","Integrate[(-8*x - 40*x^2 + (-1 - 10*x)*Log[x]^2 + (-4 - 20*x + (1 + 5*x)*Log[x]^2)*Log[x + 5*x^2])/((2*x^2 + 10*x^3)*Log[x]^2 + (x + 5*x^2)*Log[x]^2*Log[x + 5*x^2]),x]","\log (x)-\log (2 x+\log (x (5 x+1)))+\frac{4}{\log (x)}","-\log \left(\frac{\log \left(5 x^2+x\right)}{x}+2\right)+\frac{4}{\log (x)}-4",1,"4/Log[x] + Log[x] - Log[2*x + Log[x*(1 + 5*x)]]","A",1
9873,1,17,21,0.0194066,"\int \frac{e^3 \left(10+x^2\right)+e^{3+x} \left(-5 x^2-5 x^3\right)}{x^2} \, dx","Integrate[(E^3*(10 + x^2) + E^(3 + x)*(-5*x^2 - 5*x^3))/x^2,x]","e^3 \left(-5 e^x x+x-\frac{10}{x}\right)","e^3 \left(x-5 \left(e^x x+\frac{2}{x}\right)\right)+4",1,"E^3*(-10/x + x - 5*E^x*x)","A",1
9874,1,125,32,1.3856601,"\int \frac{e^{-x} \left(-20 x^2-2 e^{2 x} x^2-2 x^4+e^x \left(4 x^2-4 x^3\right)+\left(-50-50 x+15 x^2+5 x^3-x^4+x^5+e^x \left(10-2 x^2\right)+e^{2 x} \left(-5+5 x+x^2-x^3\right)\right) \log \left(10-2 x^2\right)\right)}{-5 x^2+x^4} \, dx","Integrate[(-20*x^2 - 2*E^(2*x)*x^2 - 2*x^4 + E^x*(4*x^2 - 4*x^3) + (-50 - 50*x + 15*x^2 + 5*x^3 - x^4 + x^5 + E^x*(10 - 2*x^2) + E^(2*x)*(-5 + 5*x + x^2 - x^3))*Log[10 - 2*x^2])/(E^x*(-5*x^2 + x^4)),x]","-e^{-x} x \log \left(-2 \left(x^2-5\right)\right)-\frac{10 e^{-x} \log \left(-2 \left(x^2-5\right)\right)}{x}-\frac{e^x \log \left(-2 \left(x^2-5\right)\right)}{x}+\frac{2 \log \left(-2 \left(x^2-5\right)\right)}{x}+\frac{2}{5} \left(\sqrt{5}-5\right) \log \left(\sqrt{5}-x\right)-\frac{2 \log \left(x+\sqrt{5}\right)}{\sqrt{5}}-2 \log \left(x+\sqrt{5}\right)+\frac{4 \tanh ^{-1}\left(\frac{x}{\sqrt{5}}\right)}{\sqrt{5}}","\frac{\left(2-e^{-x} \left(\left(x+e^x\right)^2+10\right)\right) \log \left(2 \left(5-x^2\right)\right)}{x}",1,"(4*ArcTanh[x/Sqrt[5]])/Sqrt[5] + (2*(-5 + Sqrt[5])*Log[Sqrt[5] - x])/5 - 2*Log[Sqrt[5] + x] - (2*Log[Sqrt[5] + x])/Sqrt[5] + (2*Log[-2*(-5 + x^2)])/x - (10*Log[-2*(-5 + x^2)])/(E^x*x) - (E^x*Log[-2*(-5 + x^2)])/x - (x*Log[-2*(-5 + x^2)])/E^x","B",1
9875,1,61,38,0.1412089,"\int \frac{20-12 e^{10-8 x}-40 x-8 x^2+24 x^3-12 x^4+e^{5-4 x} \left(-76-8 x+24 x^2\right)}{25-10 x+31 x^2-36 x^3+15 x^4-18 x^5+9 x^6+e^{10-8 x} \left(e^6-6 e^3 x+9 x^2\right)+e^6 \left(x^2-2 x^3+x^4\right)+e^3 \left(-10 x+12 x^2-8 x^3+12 x^4-6 x^5\right)+e^{5-4 x} \left(30 x-6 x^2+18 x^3-18 x^4+e^6 \left(2 x-2 x^2\right)+e^3 \left(-10+2 x-12 x^2+12 x^3\right)\right)} \, dx","Integrate[(20 - 12*E^(10 - 8*x) - 40*x - 8*x^2 + 24*x^3 - 12*x^4 + E^(5 - 4*x)*(-76 - 8*x + 24*x^2))/(25 - 10*x + 31*x^2 - 36*x^3 + 15*x^4 - 18*x^5 + 9*x^6 + E^(10 - 8*x)*(E^6 - 6*E^3*x + 9*x^2) + E^6*(x^2 - 2*x^3 + x^4) + E^3*(-10*x + 12*x^2 - 8*x^3 + 12*x^4 - 6*x^5) + E^(5 - 4*x)*(30*x - 6*x^2 + 18*x^3 - 18*x^4 + E^6*(2*x - 2*x^2) + E^3*(-10 + 2*x - 12*x^2 + 12*x^3))),x]","-\frac{4 \left(e^5-e^{4 x} (x-1) x\right)}{e^{4 x} \left(3 x^3-3 x^2+x-5\right)-e^{4 x+3} (x-1) x-3 e^5 x+e^8}","\frac{4}{-\frac{5-x}{x^2-x-e^{5-4 x}}+3 x-e^3}",1,"(-4*(E^5 - E^(4*x)*(-1 + x)*x))/(E^8 - 3*E^5*x - E^(3 + 4*x)*(-1 + x)*x + E^(4*x)*(-5 + x - 3*x^2 + 3*x^3))","A",1
9876,1,29,33,0.0210014,"\int \frac{4 e^5 x+24 e^5 \log (3)-x \log \left(\frac{1}{25} \left(\log ^2(4)-2 \log (4) \log (5)+\log ^2(5)\right)\right)}{x^3} \, dx","Integrate[(4*E^5*x + 24*E^5*Log[3] - x*Log[(Log[4]^2 - 2*Log[4]*Log[5] + Log[5]^2)/25])/x^3,x]","-\frac{x \left(\log (25)-2 \log \left(\log \left(\frac{5}{4}\right)\right)\right)+2 e^5 (2 x+\log (729))}{x^2}","\frac{\log \left(\frac{1}{25} (\log (5)-\log (4))^2\right)-e^5 \left(\frac{12 \log (3)}{x}+4\right)}{x}",1,"-((2*E^5*(2*x + Log[729]) + x*(Log[25] - 2*Log[Log[5/4]]))/x^2)","A",1
9877,1,22,26,0.0544719,"\int \left(-6+e^{5 x-x^3} \left(-20+12 x^2\right)-\log (x)\right) \, dx","Integrate[-6 + E^(5*x - x^3)*(-20 + 12*x^2) - Log[x],x]","-4 e^{5 x-x^3}-5 x+x (-\log (x))","-4 e^{\left(\frac{5}{x}-x\right) x^2}-5 x+x (-\log (x))",1,"-4*E^(5*x - x^3) - 5*x - x*Log[x]","A",1
9878,1,14,22,0.0101539,"\int \frac{e^{5+e^{x^2}} \left(-3+6 e^{x^2} x^2\right)}{x^2} \, dx","Integrate[(E^(5 + E^x^2)*(-3 + 6*E^x^2*x^2))/x^2,x]","\frac{3 e^{e^{x^2}+5}}{x}","\frac{3 e^{e^{x^2}+5}}{x}-1-\log ^2(2)",1,"(3*E^(5 + E^x^2))/x","A",1
9879,1,22,25,0.219468,"\int \frac{\left(4+5 x+x^2\right) \log \left(\frac{4+x}{2+2 x}\right)+\log (2 x) \left(3 x+\left(-4-5 x-x^2\right) \log \left(\frac{4+x}{2+2 x}\right)\right)}{\left(4 x^2+5 x^3+x^4\right) \log ^2\left(\frac{4+x}{2+2 x}\right)} \, dx","Integrate[((4 + 5*x + x^2)*Log[(4 + x)/(2 + 2*x)] + Log[2*x]*(3*x + (-4 - 5*x - x^2)*Log[(4 + x)/(2 + 2*x)]))/((4*x^2 + 5*x^3 + x^4)*Log[(4 + x)/(2 + 2*x)]^2),x]","\frac{\log (2 x)}{x \log \left(\frac{x+4}{2 x+2}\right)}","\frac{\log (2 x)}{x \log \left(\frac{x+4}{2 (x+1)}\right)}-7",1,"Log[2*x]/(x*Log[(4 + x)/(2 + 2*x)])","A",1
9880,1,17,17,0.0667113,"\int \frac{-2+e^{1+e^x x} \left(-6 x+e^x \left(-6 x^2-6 x^3\right)\right)}{27 e^{3+3 e^x x} x^4+27 e^{2+2 e^x x} x^3 \log (x)+9 e^{1+e^x x} x^2 \log ^2(x)+x \log ^3(x)} \, dx","Integrate[(-2 + E^(1 + E^x*x)*(-6*x + E^x*(-6*x^2 - 6*x^3)))/(27*E^(3 + 3*E^x*x)*x^4 + 27*E^(2 + 2*E^x*x)*x^3*Log[x] + 9*E^(1 + E^x*x)*x^2*Log[x]^2 + x*Log[x]^3),x]","\frac{1}{\left(3 e^{e^x x+1} x+\log (x)\right)^2}","\frac{1}{\left(3 e^{e^x x+1} x+\log (x)\right)^2}",1,"(3*E^(1 + E^x*x)*x + Log[x])^(-2)","A",1
9881,1,20,21,0.3630137,"\int \left(e^{2 x} (7+14 x)+x^{-3+6 x} \left(e^{2 x} (-2+8 x)+6 e^{2 x} x \log (x)\right)\right) \, dx","Integrate[E^(2*x)*(7 + 14*x) + x^(-3 + 6*x)*(E^(2*x)*(-2 + 8*x) + 6*E^(2*x)*x*Log[x]),x]","\frac{e^{2 x} \left(x^{6 x}+7 x^3\right)}{x^2}","e^{2 x} \left(\left(x^{6 x-3}+6\right) x+x\right)-9",1,"(E^(2*x)*(7*x^3 + x^(6*x)))/x^2","A",1
9882,1,17,24,0.007532,"\int \frac{18+18 x-15 x^2+2 x^3}{18 x-13 x^2+2 x^3} \, dx","Integrate[(18 + 18*x - 15*x^2 + 2*x^3)/(18*x - 13*x^2 + 2*x^3),x]","-\log \left(2 x^2-13 x+18\right)+x+\log (x)","x+\log \left(\frac{x}{3 ((5-x) (2 x-3)-3)}\right)-4",1,"x + Log[x] - Log[18 - 13*x + 2*x^2]","A",1
9883,1,94,27,0.2950688,"\int \frac{e^{-\frac{2 x+3 x^2}{\log ^2(4)}} \left(-32 x^4-96 x^5-e^{\frac{2 x+3 x^2}{\log ^2(4)}} \log ^2(4)+64 x^3 \log ^2(4)+e^{\frac{3 \left(2 x+3 x^2\right)}{4 \log ^2(4)}} \left(-256 x-768 x^2+512 \log ^2(4)\right)+e^{\frac{2 x+3 x^2}{2 \log ^2(4)}} \left(-384 x^2-1152 x^3+768 x \log ^2(4)\right)+e^{\frac{2 x+3 x^2}{4 \log ^2(4)}} \left(-192 x^3-576 x^4+384 x^2 \log ^2(4)\right)\right)}{\log ^2(4)} \, dx","Integrate[(-32*x^4 - 96*x^5 - E^((2*x + 3*x^2)/Log[4]^2)*Log[4]^2 + 64*x^3*Log[4]^2 + E^((3*(2*x + 3*x^2))/(4*Log[4]^2))*(-256*x - 768*x^2 + 512*Log[4]^2) + E^((2*x + 3*x^2)/(2*Log[4]^2))*(-384*x^2 - 1152*x^3 + 768*x*Log[4]^2) + E^((2*x + 3*x^2)/(4*Log[4]^2))*(-192*x^3 - 576*x^4 + 384*x^2*Log[4]^2))/(E^((2*x + 3*x^2)/Log[4]^2)*Log[4]^2),x]","x \left(-e^{-\frac{x (3 x+2)}{\log ^2(4)}}\right) \left(-16 x^3-128 x^2 e^{\frac{x (3 x+2)}{4 \log ^2(4)}}-384 x e^{\frac{x (3 x+2)}{2 \log ^2(4)}}-512 e^{\frac{3 x (3 x+2)}{4 \log ^2(4)}}+e^{\frac{x (3 x+2)}{\log ^2(4)}}\right)","\left(2 x e^{-\frac{x (3 x+2)}{4 \log ^2(4)}}+4\right)^4-x",1,"-((x*(-512*E^((3*x*(2 + 3*x))/(4*Log[4]^2)) + E^((x*(2 + 3*x))/Log[4]^2) - 384*E^((x*(2 + 3*x))/(2*Log[4]^2))*x - 128*E^((x*(2 + 3*x))/(4*Log[4]^2))*x^2 - 16*x^3))/E^((x*(2 + 3*x))/Log[4]^2))","B",1
9884,1,20,16,0.0085091,"\int \frac{-20+4 e^{4 x} x^2+8 x^3}{x^2} \, dx","Integrate[(-20 + 4*E^(4*x)*x^2 + 8*x^3)/x^2,x]","4 \left(x^2+\frac{e^{4 x}}{4}+\frac{5}{x}\right)","4 x \left(\frac{5}{x^2}+x\right)+e^{4 x}",1,"4*(E^(4*x)/4 + 5/x + x^2)","A",1
9885,1,21,24,0.0290827,"\int e^{-4+2 x-2 x^2-\frac{4 (4+x)}{x}} \left(16+2 x+2 x^2-4 x^3\right) \, dx","Integrate[E^(-4 + 2*x - 2*x^2 - (4*(4 + x))/x)*(16 + 2*x + 2*x^2 - 4*x^3),x]","e^{-2 \left(x^2-x+\frac{8}{x}+4\right)} x^2","e^{-2 x^2+2 x-\frac{4 (x+4)}{x}-4} x^2",1,"x^2/E^(2*(4 + 8/x - x + x^2))","A",1
9886,1,28,28,0.0438761,"\int 1250 \exp \left(\frac{2}{3} \left(1+3 e^{x+\left(i \pi +\log \left(-2+e^5\right)\right)^2}\right)+x+\left(i \pi +\log \left(-2+e^5\right)\right)^2\right) \, dx","Integrate[1250*E^((2*(1 + 3*E^(x + (I*Pi + Log[-2 + E^5])^2)))/3 + x + (I*Pi + Log[-2 + E^5])^2),x]","625 e^{\frac{2}{3}+2 e^{x+\left(\log \left(e^5-2\right)+i \pi \right)^2}}","625 e^{\frac{2}{3}+2 e^{x+\left(\log \left(e^5-2\right)+i \pi \right)^2}}",1,"625*E^(2/3 + 2*E^(x + (I*Pi + Log[-2 + E^5])^2))","A",1
9887,1,8,8,0.0018417,"\int \frac{2}{-8+2 x+\log (4)} \, dx","Integrate[2/(-8 + 2*x + Log[4]),x]","\log (2 x-8+\log (4))","\log (2 x-8+\log (4))",1,"Log[-8 + 2*x + Log[4]]","A",1
9888,1,34,31,0.0561138,"\int \frac{32 x^4-64 x^4 \log (3)+48 x^4 \log ^2(3)-16 x^4 \log ^3(3)+2 x^4 \log ^4(3)+\left(-20 x^2+20 x^2 \log (3)-5 x^2 \log ^2(3)\right) \log ^2\left(\log \left(3 e^3\right)\right)+\log ^4\left(\log \left(3 e^3\right)\right)}{16 x^4-32 x^4 \log (3)+24 x^4 \log ^2(3)-8 x^4 \log ^3(3)+x^4 \log ^4(3)+\left(-8 x^2+8 x^2 \log (3)-2 x^2 \log ^2(3)\right) \log ^2\left(\log \left(3 e^3\right)\right)+\log ^4\left(\log \left(3 e^3\right)\right)} \, dx","Integrate[(32*x^4 - 64*x^4*Log[3] + 48*x^4*Log[3]^2 - 16*x^4*Log[3]^3 + 2*x^4*Log[3]^4 + (-20*x^2 + 20*x^2*Log[3] - 5*x^2*Log[3]^2)*Log[Log[3*E^3]]^2 + Log[Log[3*E^3]]^4)/(16*x^4 - 32*x^4*Log[3] + 24*x^4*Log[3]^2 - 8*x^4*Log[3]^3 + x^4*Log[3]^4 + (-8*x^2 + 8*x^2*Log[3] - 2*x^2*Log[3]^2)*Log[Log[3*E^3]]^2 + Log[Log[3*E^3]]^4),x]","x \left(\frac{\log ^2(3+\log (3))}{x^2 (\log (3)-2)^2-\log ^2(3+\log (3))}+2\right)","x+\frac{x}{1-\frac{\log ^2\left(\log \left(3 e^3\right)\right)}{(2 x-x \log (3))^2}}-8",1,"x*(2 + Log[3 + Log[3]]^2/(x^2*(-2 + Log[3])^2 - Log[3 + Log[3]]^2))","A",1
9889,1,45,31,0.1341739,"\int \frac{e^{-x} \left(e^{2 e^{-x} x} \left(2500 x^2-2500 x^3\right)+e^x \left(1250 e^5+300 x^2+4 x^3\right)+e^{e^{-x} x} \left(-7500 x^2-100 e^x x^2+7400 x^3+100 x^4\right)\right)}{625 x^2} \, dx","Integrate[(E^((2*x)/E^x)*(2500*x^2 - 2500*x^3) + E^x*(1250*E^5 + 300*x^2 + 4*x^3) + E^(x/E^x)*(-7500*x^2 - 100*E^x*x^2 + 7400*x^3 + 100*x^4))/(625*E^x*x^2),x]","-\frac{4}{25} e^{e^{-x} x} (x+75)+2 e^{2 e^{-x} x}+\frac{2}{625} x (x+150)-\frac{2 e^5}{x}","\frac{2 \left(\left(-\frac{x}{25}+e^{e^{-x} x}-3\right)^2 x-e^5\right)}{x}",1,"2*E^((2*x)/E^x) - (2*E^5)/x - (4*E^(x/E^x)*(75 + x))/25 + (2*x*(150 + x))/625","A",1
9890,1,29,31,0.2382388,"\int \frac{4-2 x+e^2 \left(2 x-x^2\right)+e^{\frac{x^2+\log ^2\left(\frac{2+e^2 x}{x}\right)}{x}} \left(-2 x-4 x^2+e^2 \left(-x^2-2 x^3\right)+8 \log \left(\frac{2+e^2 x}{x}\right)+\left(4+2 e^2 x\right) \log ^2\left(\frac{2+e^2 x}{x}\right)\right)}{16+24 x+12 x^2+2 x^3+e^2 \left(8 x+12 x^2+6 x^3+x^4\right)+e^{\frac{3 \left(x^2+\log ^2\left(\frac{2+e^2 x}{x}\right)\right)}{x}} \left(2 x^3+e^2 x^4\right)+e^{\frac{2 \left(x^2+\log ^2\left(\frac{2+e^2 x}{x}\right)\right)}{x}} \left(12 x^2+6 x^3+e^2 \left(6 x^3+3 x^4\right)\right)+e^{\frac{x^2+\log ^2\left(\frac{2+e^2 x}{x}\right)}{x}} \left(24 x+24 x^2+6 x^3+e^2 \left(12 x^2+12 x^3+3 x^4\right)\right)} \, dx","Integrate[(4 - 2*x + E^2*(2*x - x^2) + E^((x^2 + Log[(2 + E^2*x)/x]^2)/x)*(-2*x - 4*x^2 + E^2*(-x^2 - 2*x^3) + 8*Log[(2 + E^2*x)/x] + (4 + 2*E^2*x)*Log[(2 + E^2*x)/x]^2))/(16 + 24*x + 12*x^2 + 2*x^3 + E^2*(8*x + 12*x^2 + 6*x^3 + x^4) + E^((3*(x^2 + Log[(2 + E^2*x)/x]^2))/x)*(2*x^3 + E^2*x^4) + E^((2*(x^2 + Log[(2 + E^2*x)/x]^2))/x)*(12*x^2 + 6*x^3 + E^2*(6*x^3 + 3*x^4)) + E^((x^2 + Log[(2 + E^2*x)/x]^2)/x)*(24*x + 24*x^2 + 6*x^3 + E^2*(12*x^2 + 12*x^3 + 3*x^4))),x]","\frac{x}{\left(x+x e^{x+\frac{\log ^2\left(\frac{2}{x}+e^2\right)}{x}}+2\right)^2}","\frac{x}{\left(x+x e^{x+\frac{\log ^2\left(\frac{e^2 x+2}{x}\right)}{x}}+2\right)^2}",1,"x/(2 + x + E^(x + Log[E^2 + 2/x]^2/x)*x)^2","A",1
9891,1,29,33,0.0398285,"\int \frac{-5+10 x-15 x^2+e^{2+x+e^4 x^2} \left(-5-5 x-10 e^4 x^2\right)}{1+2 x-x^2+e^{4+2 x+2 e^4 x^2} x^2+3 x^4-2 x^5+x^6+e^{2+x+e^4 x^2} \left(2 x+2 x^2-2 x^3+2 x^4\right)} \, dx","Integrate[(-5 + 10*x - 15*x^2 + E^(2 + x + E^4*x^2)*(-5 - 5*x - 10*E^4*x^2))/(1 + 2*x - x^2 + E^(4 + 2*x + 2*E^4*x^2)*x^2 + 3*x^4 - 2*x^5 + x^6 + E^(2 + x + E^4*x^2)*(2*x + 2*x^2 - 2*x^3 + 2*x^4)),x]","\frac{5}{x^3-x^2+e^{e^4 x^2+x+2} x+x+1}","\frac{5}{\left(\frac{e^{e^4 x^2+x+2}-x+1}{x}+x\right) x^2+1}",1,"5/(1 + x + E^(2 + x + E^4*x^2)*x - x^2 + x^3)","A",1
9892,1,9,11,0.0002993,"\int \frac{e^2}{3 x} \, dx","Integrate[E^2/(3*x),x]","\frac{1}{3} e^2 \log (x)","\frac{1}{3} e^2 \log (x)-14",1,"(E^2*Log[x])/3","A",1
9893,1,23,20,0.0364924,"\int \frac{e^{4 x^2+8 x \log (4)+4 \log ^2(4)} \left(-1+8 x^2+8 x \log (4)\right)}{2 x^2} \, dx","Integrate[(E^(4*x^2 + 8*x*Log[4] + 4*Log[4]^2)*(-1 + 8*x^2 + 8*x*Log[4]))/(2*x^2),x]","\frac{2^{16 x-1} e^{4 \left(x^2+\log ^2(4)\right)}}{x}","\frac{1}{2} \left(\frac{e^{4 (x+\log (4))^2}}{x}+9\right)",1,"(2^(-1 + 16*x)*E^(4*(x^2 + Log[4]^2)))/x","A",1
9894,1,14,14,0.0517585,"\int e^{e^{-x} \left(24+2 e^{256}\right)-x} \left(-24-2 e^{256}\right) \, dx","Integrate[E^((24 + 2*E^256)/E^x - x)*(-24 - 2*E^256),x]","e^{2 \left(12+e^{256}\right) e^{-x}}","e^{2 \left(12+e^{256}\right) e^{-x}}",1,"E^((2*(12 + E^256))/E^x)","A",1
9895,1,33,24,0.0253428,"\int \frac{2 x+e^5 \left(-1-12 x-3 x^2\right)+e^5 \log \left(\frac{2-e}{x}\right)}{e^5} \, dx","Integrate[(2*x + E^5*(-1 - 12*x - 3*x^2) + E^5*Log[(2 - E)/x])/E^5,x]","-x^3-\frac{\left(6 e^5-1\right) x^2}{e^5}+x \log \left(\frac{2-e}{x}\right)","x \left(\log \left(\frac{2-e}{x}\right)-x \left(x-\frac{1}{e^5}+6\right)\right)",1,"-(((-1 + 6*E^5)*x^2)/E^5) - x^3 + x*Log[(2 - E)/x]","A",1
9896,1,28,33,0.4458048,"\int \frac{-36 x+42 x^2-12 x^3+e^2 \left(-18+24 x-6 x^2\right)+\left(-72 x+90 x^2-24 x^3\right) \log (x)}{e^4 \left(9 x^2-12 x^3+4 x^4\right)+e^2 \left(36 x^3-48 x^4+16 x^5\right) \log (x)+\left(36 x^4-48 x^5+16 x^6\right) \log ^2(x)} \, dx","Integrate[(-36*x + 42*x^2 - 12*x^3 + E^2*(-18 + 24*x - 6*x^2) + (-72*x + 90*x^2 - 24*x^3)*Log[x])/(E^4*(9*x^2 - 12*x^3 + 4*x^4) + E^2*(36*x^3 - 48*x^4 + 16*x^5)*Log[x] + (36*x^4 - 48*x^5 + 16*x^6)*Log[x]^2),x]","-\frac{3 (2-x)}{x (2 x-3) \left(2 x \log (x)+e^2\right)}","\frac{\frac{3-x}{3 x-2 x^2}+\frac{1}{x}}{2 x \log (x)+e^2}",1,"(-3*(2 - x))/(x*(-3 + 2*x)*(E^2 + 2*x*Log[x]))","A",1
9897,1,26,26,0.6087482,"\int \frac{1}{5} e^{\frac{4 e^x+20 x}{5 x}} \left(120 x+60 x^2+e^{2 x} \left(-12+8 x+4 x^2\right)+e^x \left(-48+62 x+46 x^2+5 x^3\right)\right) \, dx","Integrate[(E^((4*E^x + 20*x)/(5*x))*(120*x + 60*x^2 + E^(2*x)*(-12 + 8*x + 4*x^2) + E^x*(-48 + 62*x + 46*x^2 + 5*x^3)))/5,x]","e^{\frac{4 e^x}{5 x}+4} \left(e^x+4\right) x^2 (x+3)","e^{\frac{4 e^x}{5 x}+4} \left(e^x+4\right) x^2 (x+3)",1,"E^(4 + (4*E^x)/(5*x))*(4 + E^x)*x^2*(3 + x)","A",1
9898,1,32,31,0.1853124,"\int \frac{1}{3} e^{-\frac{x^2}{3}} \left(-3+e^{\frac{72+6 x \log (\log (4))}{\log (\log (4))}} (54-6 x)+2 x^2\right) \, dx","Integrate[(-3 + E^((72 + 6*x*Log[Log[4]])/Log[Log[4]])*(54 - 6*x) + 2*x^2)/(3*E^(x^2/3)),x]","\frac{1}{3} e^{-\frac{x^2}{3}} \left(9 e^{6 x+\frac{72}{\log (\log (4))}}-3 x\right)","e^{-\frac{x^2}{3}} \left(3 e^{3 \left(2 x+\frac{24}{\log (\log (4))}\right)}-x\right)",1,"(9*E^(6*x + 72/Log[Log[4]]) - 3*x)/(3*E^(x^2/3))","A",1
9899,1,22,27,0.0105518,"\int \frac{-1+16 x+8 e^3 x+e^x x-48 x^2}{x} \, dx","Integrate[(-1 + 16*x + 8*E^3*x + E^x*x - 48*x^2)/x,x]","-24 x^2+8 e^3 x+16 x+e^x-\log (x)","8 x \left(\left(\frac{x+2}{x}-5\right) x+x+e^3\right)+e^x-\log (x)",1,"E^x + 16*x + 8*E^3*x - 24*x^2 - Log[x]","A",1
9900,1,26,30,0.1321582,"\int \frac{3+3 x+(3 x+3 \log (x)) \log (x+\log (x)) \log \left(\frac{3}{\log (x+\log (x))}\right)+\left(-x-2 x^2+e^x \left(-x-x^2\right)+\left(-1+e^x (-1-x)-2 x\right) \log (x)\right) \log (x+\log (x)) \log ^2\left(\frac{3}{\log (x+\log (x))}\right)}{(x+\log (x)) \log (x+\log (x)) \log ^2\left(\frac{3}{\log (x+\log (x))}\right)} \, dx","Integrate[(3 + 3*x + (3*x + 3*Log[x])*Log[x + Log[x]]*Log[3/Log[x + Log[x]]] + (-x - 2*x^2 + E^x*(-x - x^2) + (-1 + E^x*(-1 - x) - 2*x)*Log[x])*Log[x + Log[x]]*Log[3/Log[x + Log[x]]]^2)/((x + Log[x])*Log[x + Log[x]]*Log[3/Log[x + Log[x]]]^2),x]","x \left(-x-e^x+\frac{3}{\log \left(\frac{3}{\log (x+\log (x))}\right)}-1\right)","-x+x \left(-x-e^x+\frac{3}{\log \left(\frac{3}{\log (x+\log (x))}\right)}\right)+5",1,"x*(-1 - E^x - x + 3/Log[3/Log[x + Log[x]]])","A",1
9901,1,15,17,0.0969893,"\int \frac{e^{\frac{1}{16} (33+16 x)} \left(1+2 x+x^2\right)-2^{1+\frac{4}{1+x}} \log (4)}{1+2 x+x^2} \, dx","Integrate[(E^((33 + 16*x)/16)*(1 + 2*x + x^2) - 2^(1 + 4/(1 + x))*Log[4])/(1 + 2*x + x^2),x]","16^{\frac{1}{x+1}}+e^{x+\frac{33}{16}}","4^{\frac{2}{x+1}}+e^{x+\frac{33}{16}}",1,"16^(1 + x)^(-1) + E^(33/16 + x)","A",1
9902,1,23,29,0.0326829,"\int \frac{-10 x \log (5) \log \left(e^{-x} x\right)+(-1+x) \log ^{\frac{2}{\log (5)}}\left(e^{-x} x\right)}{10 x \log (5) \log \left(e^{-x} x\right)} \, dx","Integrate[(-10*x*Log[5]*Log[x/E^x] + (-1 + x)*Log[x/E^x]^(2/Log[5]))/(10*x*Log[5]*Log[x/E^x]),x]","-x-\frac{1}{20} \log ^{\frac{2}{\log (5)}}\left(e^{-x} x\right)","-x-\frac{1}{20} \log ^{\frac{2}{\log (5)}}\left(e^{-x} x\right)-e^5+25",1,"-x - Log[x/E^x]^(2/Log[5])/20","A",1
9903,1,23,20,0.0177529,"\int \frac{90 e^{53}-120 x^2}{9 e^{106}+100 x^2+4 e^2 x^2+80 x^3+16 x^4+e^{53} \left(60 x+12 e x+24 x^2\right)+e \left(40 x^2+16 x^3\right)} \, dx","Integrate[(90*E^53 - 120*x^2)/(9*E^106 + 100*x^2 + 4*E^2*x^2 + 80*x^3 + 16*x^4 + E^53*(60*x + 12*E*x + 24*x^2) + E*(40*x^2 + 16*x^3)),x]","\frac{30 x}{4 x^2+2 e x+10 x+3 e^{53}}","\frac{15}{2 x+\frac{3 e^{53}}{2 x}+e+5}",1,"(30*x)/(3*E^53 + 10*x + 2*E*x + 4*x^2)","A",1
9904,1,17,32,0.0070971,"\int \frac{43+12 x-6 x^2}{6-12 x+6 x^2} \, dx","Integrate[(43 + 12*x - 6*x^2)/(6 - 12*x + 6*x^2),x]","\frac{1}{6} \left(-6 (x-1)-\frac{49}{x-1}\right)","\log \left(2 e^{5-x}\right)-\frac{\frac{4 x}{3}+3 (x+3)+3}{2 x-2}",1,"(-49/(-1 + x) - 6*(-1 + x))/6","A",1
9905,1,9,19,0.0006456,"\int \frac{1}{4} (-1+8 x) \, dx","Integrate[(-1 + 8*x)/4,x]","x^2-\frac{x}{4}","\frac{1}{4} \left(4 x^2-x\right)+6-\log (5)",1,"-1/4*x + x^2","A",1
9906,1,19,19,0.0185954,"\int e^{3-e-x} \left(1+e^{-3+e+x} (1-2 x)\right) \, dx","Integrate[E^(3 - E - x)*(1 + E^(-3 + E + x)*(1 - 2*x)),x]","-x^2+x-e^{-x-e+3}","-x^2+x-e^{-x-e+3}",1,"-E^(3 - E - x) + x - x^2","A",1
9907,1,12,11,0.0008916,"\int (-160+e (10-4 x)+64 x) \, dx","Integrate[-160 + E*(10 - 4*x) + 64*x,x]","-2 (e-16) \left(x^2-5 x\right)","2 (e-16) (5-x) x",1,"-2*(-16 + E)*(-5*x + x^2)","A",1
9908,1,41,28,0.2616493,"\int \frac{\exp \left(e^{\frac{-5+6 x+(-2+x) \log (2)}{3+\log (2)}}+\frac{-5+6 x+(-2+x) \log (2)}{3+\log (2)}\right) (-6-\log (2))+(3+\log (2)) \log (6)}{(3+\log (2)) \log (6)} \, dx","Integrate[(E^(E^((-5 + 6*x + (-2 + x)*Log[2])/(3 + Log[2])) + (-5 + 6*x + (-2 + x)*Log[2])/(3 + Log[2]))*(-6 - Log[2]) + (3 + Log[2])*Log[6])/((3 + Log[2])*Log[6]),x]","x+\frac{(-6-\log (2)) e^{e^{\frac{6 x+(x-2) \log (2)-5}{3+\log (2)}}}}{(6+\log (2)) \log (6)}","x-\frac{e^{e^{x+\frac{3 x+1}{3+\log (2)}-2}}}{\log (6)}-1",1,"x + (E^E^((-5 + 6*x + (-2 + x)*Log[2])/(3 + Log[2]))*(-6 - Log[2]))/((6 + Log[2])*Log[6])","A",1
9909,1,28,31,0.0994718,"\int \frac{e^{\frac{18+3 e+15 x}{x+3 \log ^2\left(-\frac{8}{-4+x}\right)}} \left(72+e (12-3 x)-18 x+(108+18 e+90 x) \log \left(-\frac{8}{-4+x}\right)+(-180+45 x) \log ^2\left(-\frac{8}{-4+x}\right)\right)}{-4 x^2+x^3+\left(-24 x+6 x^2\right) \log ^2\left(-\frac{8}{-4+x}\right)+(-36+9 x) \log ^4\left(-\frac{8}{-4+x}\right)} \, dx","Integrate[(E^((18 + 3*E + 15*x)/(x + 3*Log[-8/(-4 + x)]^2))*(72 + E*(12 - 3*x) - 18*x + (108 + 18*E + 90*x)*Log[-8/(-4 + x)] + (-180 + 45*x)*Log[-8/(-4 + x)]^2))/(-4*x^2 + x^3 + (-24*x + 6*x^2)*Log[-8/(-4 + x)]^2 + (-36 + 9*x)*Log[-8/(-4 + x)]^4),x]","\exp \left(\frac{3 (5 (x-4)+e+26)}{x+3 \log ^2\left(-\frac{8}{x-4}\right)}\right)","e^{\frac{5 x+e+6}{\frac{x}{3}+\log ^2\left(\frac{8}{4-x}\right)}}-3",1,"E^((3*(26 + E + 5*(-4 + x)))/(x + 3*Log[-8/(-4 + x)]^2))","A",1
9910,1,25,28,0.0057354,"\int \frac{6+\left(-3+20 x^3\right) \log \left(x^2\right)+10 x^3 \log ^2\left(x^2\right)}{45 x^2} \, dx","Integrate[(6 + (-3 + 20*x^3)*Log[x^2] + 10*x^3*Log[x^2]^2)/(45*x^2),x]","\frac{1}{9} x^2 \log ^2\left(x^2\right)+\frac{\log \left(x^2\right)}{15 x}","\frac{1}{9} x^2 \log ^2\left(x^2\right)+\frac{1}{15} \left(\frac{\log \left(x^2\right)}{x}-1\right)",1,"Log[x^2]/(15*x) + (x^2*Log[x^2]^2)/9","A",1
9911,1,34,22,0.2804421,"\int \frac{-e^{2-2 x} x^2+e^{1-x+\frac{1}{4} (4+\log (4))} \left(-5+5 x-2 x^2\right)+e^{\frac{1}{2} (4+\log (4))} \left(-5-x^2\right)}{e^{2-2 x} x^2+e^{\frac{1}{2} (4+\log (4))} x^2+2 e^{1-x+\frac{1}{4} (4+\log (4))} x^2} \, dx","Integrate[(-(E^(2 - 2*x)*x^2) + E^(1 - x + (4 + Log[4])/4)*(-5 + 5*x - 2*x^2) + E^((4 + Log[4])/2)*(-5 - x^2))/(E^(2 - 2*x)*x^2 + E^((4 + Log[4])/2)*x^2 + 2*E^(1 - x + (4 + Log[4])/4)*x^2),x]","-\frac{x^2+\sqrt{2} e^x \left(x^2-5\right)}{\sqrt{2} e^x x+x}","\frac{5}{\frac{e^{-x} x}{\sqrt{2}}+x}-x",1,"-((x^2 + Sqrt[2]*E^x*(-5 + x^2))/(x + Sqrt[2]*E^x*x))","A",1
9912,1,27,25,0.1550634,"\int \frac{3 x+e^{3+e^4+\frac{2}{x}+2 e^{2/x} x} (-4+2 x)}{4 x} \, dx","Integrate[(3*x + E^(3 + E^4 + 2/x + 2*E^(2/x)*x)*(-4 + 2*x))/(4*x),x]","\frac{3 x}{4}+\frac{1}{4} e^{2 e^{2/x} x+e^4+3}","\frac{1}{4} \left(3 x+e^{2 e^{2/x} x+e^4+3}\right)",1,"E^(3 + E^4 + 2*E^(2/x)*x)/4 + (3*x)/4","A",1
9913,1,21,26,8.8513209,"\int -\frac{64 e^{4-16 \log ^2\left(\frac{2+e^4 (-4-2 x)}{3 e^4}\right)} \log \left(\frac{2+e^4 (-4-2 x)}{3 e^4}\right)}{-1+e^4 (2+x)} \, dx","Integrate[(-64*E^(4 - 16*Log[(2 + E^4*(-4 - 2*x))/(3*E^4)]^2)*Log[(2 + E^4*(-4 - 2*x))/(3*E^4)])/(-1 + E^4*(2 + x)),x]","2 e^{-16 \log ^2\left(\frac{2}{3} \left(-x+\frac{1}{e^4}-2\right)\right)}","2 e^{-16 \log ^2\left(-x+\frac{1}{3} \left(x+\frac{2}{e^4}+2\right)-2\right)}",1,"2/E^(16*Log[(2*(-2 + E^(-4) - x))/3]^2)","A",1
9914,1,61,26,0.1238852,"\int \frac{2 x-x^2+(8-6 x) \log \left(\frac{1}{4} \left(2 x^2-x^3\right)\right)+(-4+2 x) \log ^2\left(\frac{1}{4} \left(2 x^2-x^3\right)\right)}{-4 x^3+2 x^4} \, dx","Integrate[(2*x - x^2 + (8 - 6*x)*Log[(2*x^2 - x^3)/4] + (-4 + 2*x)*Log[(2*x^2 - x^3)/4]^2)/(-4*x^3 + 2*x^4),x]","\frac{1}{2} \left(-\frac{\log ^2\left(\frac{1}{4} (2-x) x^2\right)}{x^2}+\frac{\log \left(\frac{1}{4} (2-x) x^2\right)}{x}-\frac{\log \left(-\frac{1}{4} (x-2) x^2\right)}{x}+\frac{1}{x}\right)","\frac{x-\log ^2\left(\frac{1}{4} (2-x) x^2\right)}{2 x^2}",1,"(x^(-1) + Log[((2 - x)*x^2)/4]/x - Log[((2 - x)*x^2)/4]^2/x^2 - Log[-1/4*((-2 + x)*x^2)]/x)/2","B",1
9915,1,41,34,0.1831987,"\int \frac{300 e^{10} x+216 x^3+510 x^4+300 x^5+e^5 \left(-510 x^2-600 x^3\right)+\left(-100 e^{10} x-72 x^3-160 x^4-100 x^5+e^5 \left(180 x^2+200 x^3\right)\right) \log \left(\frac{10 e^5 x-9 x^2-10 x^3}{5 e^5-4 x-5 x^2}\right)+\left(100 e^{10} x+72 x^3+170 x^4+100 x^5+e^5 \left(-170 x^2-200 x^3\right)\right) \log ^2\left(\frac{10 e^5 x-9 x^2-10 x^3}{5 e^5-4 x-5 x^2}\right)}{450 e^{10}+324 x^2+765 x^3+450 x^4+e^5 \left(-765 x-900 x^2\right)+\left(300 e^{10}+216 x^2+510 x^3+300 x^4+e^5 \left(-510 x-600 x^2\right)\right) \log ^2\left(\frac{10 e^5 x-9 x^2-10 x^3}{5 e^5-4 x-5 x^2}\right)+\left(50 e^{10}+36 x^2+85 x^3+50 x^4+e^5 \left(-85 x-100 x^2\right)\right) \log ^4\left(\frac{10 e^5 x-9 x^2-10 x^3}{5 e^5-4 x-5 x^2}\right)} \, dx","Integrate[(300*E^10*x + 216*x^3 + 510*x^4 + 300*x^5 + E^5*(-510*x^2 - 600*x^3) + (-100*E^10*x - 72*x^3 - 160*x^4 - 100*x^5 + E^5*(180*x^2 + 200*x^3))*Log[(10*E^5*x - 9*x^2 - 10*x^3)/(5*E^5 - 4*x - 5*x^2)] + (100*E^10*x + 72*x^3 + 170*x^4 + 100*x^5 + E^5*(-170*x^2 - 200*x^3))*Log[(10*E^5*x - 9*x^2 - 10*x^3)/(5*E^5 - 4*x - 5*x^2)]^2)/(450*E^10 + 324*x^2 + 765*x^3 + 450*x^4 + E^5*(-765*x - 900*x^2) + (300*E^10 + 216*x^2 + 510*x^3 + 300*x^4 + E^5*(-510*x - 600*x^2))*Log[(10*E^5*x - 9*x^2 - 10*x^3)/(5*E^5 - 4*x - 5*x^2)]^2 + (50*E^10 + 36*x^2 + 85*x^3 + 50*x^4 + E^5*(-85*x - 100*x^2))*Log[(10*E^5*x - 9*x^2 - 10*x^3)/(5*E^5 - 4*x - 5*x^2)]^4),x]","\frac{x^2}{\log ^2\left(\frac{x \left(x (10 x+9)-10 e^5\right)}{x (5 x+4)-5 e^5}\right)+3}","\frac{x^2}{\log ^2\left(\frac{x}{4-5 \left(\frac{e^5}{x}-x\right)}+2 x\right)+3}",1,"x^2/(3 + Log[(x*(-10*E^5 + x*(9 + 10*x)))/(-5*E^5 + x*(4 + 5*x))]^2)","A",1
9916,1,16,17,0.0055505,"\int \left(1+e^{8/3}+e^{\frac{8}{3}+x}\right) \, dx","Integrate[1 + E^(8/3) + E^(8/3 + x),x]","e^{8/3} x+x+e^{x+\frac{8}{3}}","x+e^{8/3} \left(x+e^x+e-5+\log (4)\right)",1,"E^(8/3 + x) + x + E^(8/3)*x","A",1
9917,1,19,22,0.0215633,"\int \frac{-15+\frac{3 e^{1+\frac{e}{5-x}}}{5-x}+33 x-6 x^2}{-5+x} \, dx","Integrate[(-15 + (3*E^(1 + E/(5 - x)))/(5 - x) + 33*x - 6*x^2)/(-5 + x),x]","-3 \left((x-1) x+e^{\frac{e}{5-x}}\right)","3 \left(-x^2+x-e^{\frac{e}{5-x}}\right)",1,"-3*(E^(E/(5 - x)) + (-1 + x)*x)","A",1
9918,1,13,13,0.00373,"\int -2 e^{\frac{1}{2} \left(-237-2 x^2+2 \log (2)\right)} x \, dx","Integrate[-2*E^((-237 - 2*x^2 + 2*Log[2])/2)*x,x]","2 e^{-x^2-\frac{237}{2}}","2 e^{-x^2-\frac{237}{2}}",1,"2*E^(-237/2 - x^2)","A",1
9919,1,36,36,1.1309218,"\int \frac{1}{6} e^{-x} \left(6 e^x+e^{5 e^{\frac{1}{2} \left(e^{x^2}+x\right)}} \left(2+e^{\frac{1}{2} \left(e^{x^2}+x\right)} \left(-5-15 e^x+e^{x^2} \left(-10 x-30 e^x x\right)\right)\right)\right) \, dx","Integrate[(6*E^x + E^(5*E^((E^x^2 + x)/2))*(2 + E^((E^x^2 + x)/2)*(-5 - 15*E^x + E^x^2*(-10*x - 30*E^x*x))))/(6*E^x),x]","\frac{1}{6} e^{5 e^{\frac{e^{x^2}}{2}+\frac{x}{2}}} \left(-2 e^{-x}-6\right)+x","x-\frac{e^{5 e^{\frac{1}{2} \left(e^{x^2}+x\right)}} \left(\frac{e^{-x} x}{3}+x\right)}{x}",1,"(E^(5*E^(E^x^2/2 + x/2))*(-6 - 2/E^x))/6 + x","A",1
9920,1,51,22,0.6858111,"\int \frac{-45 x^2-3 x^3+\left(30 x+6 x^2\right) \log (2)+e^{2 x} \left(-15-39 x+6 x^2+(42-6 x) \log (2)\right)+e^x \left(-60 x-42 x^2+6 x^3+\left(30+48 x-6 x^2\right) \log (2)\right)}{-3125+3125 x-1250 x^2+250 x^3-25 x^4+x^5} \, dx","Integrate[(-45*x^2 - 3*x^3 + (30*x + 6*x^2)*Log[2] + E^(2*x)*(-15 - 39*x + 6*x^2 + (42 - 6*x)*Log[2]) + E^x*(-60*x - 42*x^2 + 6*x^3 + (30 + 48*x - 6*x^2)*Log[2]))/(-3125 + 3125*x - 1250*x^2 + 250*x^3 - 25*x^4 + x^5),x]","\frac{2 x^2 (12 x-\log (4096))+8 e^x x (6 x-\log (64))+e^{2 x} (24 x-\log (16777216))}{8 (x-5)^4}","\frac{3 \left(x+e^x\right)^2 (x-\log (2))}{(5-x)^4}",1,"(8*E^x*x*(6*x - Log[64]) + 2*x^2*(12*x - Log[4096]) + E^(2*x)*(24*x - Log[16777216]))/(8*(-5 + x)^4)","B",1
9921,1,24,27,0.0352513,"\int \frac{-7500+e^{4 x}+4600 x+2600 x^2-19900 x^3+2501 x^4+2500 x^5+50 x^6+625 x^8+e^{2 x} \left(-300+100 x+2 x^2+50 x^4\right)}{2500+e^{4 x}+5000 x+2600 x^2+100 x^3+2501 x^4+2500 x^5+50 x^6+625 x^8+e^{2 x} \left(100+100 x+2 x^2+50 x^4\right)} \, dx","Integrate[(-7500 + E^(4*x) + 4600*x + 2600*x^2 - 19900*x^3 + 2501*x^4 + 2500*x^5 + 50*x^6 + 625*x^8 + E^(2*x)*(-300 + 100*x + 2*x^2 + 50*x^4))/(2500 + E^(4*x) + 5000*x + 2600*x^2 + 100*x^3 + 2501*x^4 + 2500*x^5 + 50*x^6 + 625*x^8 + E^(2*x)*(100 + 100*x + 2*x^2 + 50*x^4)),x]","\frac{200}{25 x^4+x^2+50 x+e^{2 x}+50}+x","\frac{8}{x^4+\frac{1}{25} \left(x^2+e^{2 x}\right)+2 x+2}+x",1,"x + 200/(50 + E^(2*x) + 50*x + x^2 + 25*x^4)","A",1
9922,1,36,27,0.466931,"\int \frac{\left(-2 x+x^2+(2-2 x) \log (x)\right) \log (3 x)-x^2 \log (x) \log (3 x) \log (\log (x))+\left(\left(2 x-x^2\right) \log (x)+\left(-2 x+x^2\right) \log (x) \log (3 x)+\left(\left(2 x^2-x^3\right) \log (x)+\left(-2 x^2+x^3\right) \log (x) \log (3 x)\right) \log (\log (x))\right) \log \left(\frac{-1-x \log (\log (x))}{-2 x+x^2}\right) \log \left(\log \left(\frac{-1-x \log (\log (x))}{-2 x+x^2}\right)\right)+\left((2-x) \log (x)+\left(2 x-x^2\right) \log (x) \log (\log (x))\right) \log \left(\frac{-1-x \log (\log (x))}{-2 x+x^2}\right) \log \left(\log \left(\frac{-1-x \log (\log (x))}{-2 x+x^2}\right)\right) \log \left(\log \left(\log \left(\frac{-1-x \log (\log (x))}{-2 x+x^2}\right)\right)\right)}{\left(\left(-2 x+x^2\right) \log (x) \log ^2(3 x)+\left(-2 x^2+x^3\right) \log (x) \log ^2(3 x) \log (\log (x))\right) \log \left(\frac{-1-x \log (\log (x))}{-2 x+x^2}\right) \log \left(\log \left(\frac{-1-x \log (\log (x))}{-2 x+x^2}\right)\right)} \, dx","Integrate[((-2*x + x^2 + (2 - 2*x)*Log[x])*Log[3*x] - x^2*Log[x]*Log[3*x]*Log[Log[x]] + ((2*x - x^2)*Log[x] + (-2*x + x^2)*Log[x]*Log[3*x] + ((2*x^2 - x^3)*Log[x] + (-2*x^2 + x^3)*Log[x]*Log[3*x])*Log[Log[x]])*Log[(-1 - x*Log[Log[x]])/(-2*x + x^2)]*Log[Log[(-1 - x*Log[Log[x]])/(-2*x + x^2)]] + ((2 - x)*Log[x] + (2*x - x^2)*Log[x]*Log[Log[x]])*Log[(-1 - x*Log[Log[x]])/(-2*x + x^2)]*Log[Log[(-1 - x*Log[Log[x]])/(-2*x + x^2)]]*Log[Log[Log[(-1 - x*Log[Log[x]])/(-2*x + x^2)]]])/(((-2*x + x^2)*Log[x]*Log[3*x]^2 + (-2*x^2 + x^3)*Log[x]*Log[3*x]^2*Log[Log[x]])*Log[(-1 - x*Log[Log[x]])/(-2*x + x^2)]*Log[Log[(-1 - x*Log[Log[x]])/(-2*x + x^2)]]),x]","\frac{x}{\log (3 x)}+\frac{\log \left(\log \left(\log \left(-\frac{x \log (\log (x))+1}{(x-2) x}\right)\right)\right)}{\log (3 x)}","\frac{x+\log \left(\log \left(\log \left(\frac{\frac{1}{x}+\log (\log (x))}{2-x}\right)\right)\right)}{\log (3 x)}",1,"x/Log[3*x] + Log[Log[Log[-((1 + x*Log[Log[x]])/((-2 + x)*x))]]]/Log[3*x]","A",1
9923,1,20,31,0.010811,"\int \frac{\left(100+80 x+40 x^2\right) \log (2)-20 x \log (2) \log (5)}{25-20 x^2+4 x^4} \, dx","Integrate[((100 + 80*x + 40*x^2)*Log[2] - 20*x*Log[2]*Log[5])/(25 - 20*x^2 + 4*x^4),x]","\frac{20 \log (2) (-4 x-4+\log (5))}{8 x^2-20}","\frac{5 x \log (2) \left(x-\frac{(x+2)^2-\log (5)}{x}\right)}{2 x^2-5}",1,"(20*Log[2]*(-4 - 4*x + Log[5]))/(-20 + 8*x^2)","A",1
9924,1,21,21,1.1869134,"\int \frac{\exp \left(2 e^{\frac{8}{-3+3 \log (x)}} x^4+\frac{8}{-3+3 \log (x)}\right) \left(8 x^4-48 x^4 \log (x)+24 x^4 \log ^2(x)+e^{-\frac{8}{-3+3 \log (x)}} \left(3-6 \log (x)+3 \log ^2(x)\right)\right)}{3-6 \log (x)+3 \log ^2(x)} \, dx","Integrate[(E^(2*E^(8/(-3 + 3*Log[x]))*x^4 + 8/(-3 + 3*Log[x]))*(8*x^4 - 48*x^4*Log[x] + 24*x^4*Log[x]^2 + (3 - 6*Log[x] + 3*Log[x]^2)/E^(8/(-3 + 3*Log[x]))))/(3 - 6*Log[x] + 3*Log[x]^2),x]","x e^{2 x^4 e^{\frac{8}{3 (\log (x)-1)}}}","x e^{2 x^4 e^{-\frac{8}{3-3 \log (x)}}}",1,"E^(2*E^(8/(3*(-1 + Log[x])))*x^4)*x","A",1
9925,1,14,18,0.3804126,"\int \frac{6+e^3-x-2 \log \left(6+e^3-x\right)}{6 x+e^3 x-x^2+\left(6+e^3-x\right) \log ^2\left(6+e^3-x\right)} \, dx","Integrate[(6 + E^3 - x - 2*Log[6 + E^3 - x])/(6*x + E^3*x - x^2 + (6 + E^3 - x)*Log[6 + E^3 - x]^2),x]","\log \left(x+\log ^2\left(-x+e^3+6\right)\right)","\log \left(x+\log ^2\left(2 (3-x)+x+e^3\right)\right)",1,"Log[x + Log[6 + E^3 - x]^2]","A",1
9926,1,33,32,0.2556884,"\int \frac{\exp \left(2 e^{-\frac{e^4}{45+5 e+30 x+5 x^2}}-\frac{e^4}{45+5 e+30 x+5 x^2}\right) \left(e^9 (12+4 x)+e^4 \left(-12 x-4 x^2\right)+e^{\frac{e^4}{45+5 e+30 x+5 x^2}} \left(405+5 e^2+540 x+270 x^2+60 x^3+5 x^4+e \left(90+60 x+10 x^2\right)\right)\right)}{405 x^2+5 e^2 x^2+540 x^3+270 x^4+60 x^5+5 x^6+e \left(90 x^2+60 x^3+10 x^4\right)+e^{10} \left(405+5 e^2+540 x+270 x^2+60 x^3+5 x^4+e \left(90+60 x+10 x^2\right)\right)+e^5 \left(-810 x-10 e^2 x-1080 x^2-540 x^3-120 x^4-10 x^5+e \left(-180 x-120 x^2-20 x^3\right)\right)} \, dx","Integrate[(E^(2/E^(E^4/(45 + 5*E + 30*x + 5*x^2)) - E^4/(45 + 5*E + 30*x + 5*x^2))*(E^9*(12 + 4*x) + E^4*(-12*x - 4*x^2) + E^(E^4/(45 + 5*E + 30*x + 5*x^2))*(405 + 5*E^2 + 540*x + 270*x^2 + 60*x^3 + 5*x^4 + E*(90 + 60*x + 10*x^2))))/(405*x^2 + 5*E^2*x^2 + 540*x^3 + 270*x^4 + 60*x^5 + 5*x^6 + E*(90*x^2 + 60*x^3 + 10*x^4) + E^10*(405 + 5*E^2 + 540*x + 270*x^2 + 60*x^3 + 5*x^4 + E*(90 + 60*x + 10*x^2)) + E^5*(-810*x - 10*E^2*x - 1080*x^2 - 540*x^3 - 120*x^4 - 10*x^5 + E*(-180*x - 120*x^2 - 20*x^3))),x]","-\frac{e^{2 e^{-\frac{e^4}{5 \left((x+3)^2+e\right)}}}}{x-e^5}","\frac{e^{2 e^{-\frac{e^4}{5 \left((x+3)^2+e\right)}}}}{e^5-x}",1,"-(E^(2/E^(E^4/(5*(E + (3 + x)^2))))/(-E^5 + x))","A",1
9927,1,15,15,0.0069329,"\int \frac{e^{e^x} \left(28 x+14 e^x x^2\right)}{18+e} \, dx","Integrate[(E^E^x*(28*x + 14*E^x*x^2))/(18 + E),x]","\frac{14 e^{e^x} x^2}{18+e}","\frac{14 e^{e^x} x^2}{18+e}",1,"(14*E^E^x*x^2)/(18 + E)","A",1
9928,1,35,28,0.0363512,"\int \frac{13122 x^4+e \left(-160 x^2-6561 x^3+12800 x^4\right)+2 e \log (x)-2 e \log ^2(x)}{6561 e x^3} \, dx","Integrate[(13122*x^4 + E*(-160*x^2 - 6561*x^3 + 12800*x^4) + 2*E*Log[x] - 2*E*Log[x]^2)/(6561*E*x^3),x]","\frac{(6561+6400 e) x^2+\frac{e \log ^2(x)}{x^2}-6561 e x-160 e \log (x)}{6561 e}","x \left(\frac{x}{e}-1\right)+\left(\frac{1}{81} \left(x+\frac{\log (x)}{x}\right)-x\right)^2",1,"(-6561*E*x + (6561 + 6400*E)*x^2 - 160*E*Log[x] + (E*Log[x]^2)/x^2)/(6561*E)","A",1
9929,1,34,25,0.0459899,"\int \frac{-290 x+e^{x^3} \left(-100-600 x+1850 x^2-300 x^3+900 x^4-150 x^5\right)+e^{2 x^3} \left(-120-340 x+2220 x^2-720 x^3+1140 x^4-360 x^5+30 x^6\right)}{4+4 x^2+x^4} \, dx","Integrate[(-290*x + E^x^3*(-100 - 600*x + 1850*x^2 - 300*x^3 + 900*x^4 - 150*x^5) + E^(2*x^3)*(-120 - 340*x + 2220*x^2 - 720*x^3 + 1140*x^4 - 360*x^5 + 30*x^6))/(4 + 4*x^2 + x^4),x]","\frac{5 \left(e^{2 x^3} (x-6)^2-10 e^{x^3} (x-6)+29\right)}{x^2+2}","\frac{5 \left(\left(5-e^{x^3} (x-6)\right)^2+4\right)}{x^2+2}",1,"(5*(29 - 10*E^x^3*(-6 + x) + E^(2*x^3)*(-6 + x)^2))/(2 + x^2)","A",1
9930,1,34,21,0.0230852,"\int \frac{-100-40 x-20 \log (5)}{625+1000 x+600 x^2+160 x^3+16 x^4+\left(500+600 x+240 x^2+32 x^3\right) \log (5)+\left(150+120 x+24 x^2\right) \log ^2(5)+(20+8 x) \log ^3(5)+\log ^4(5)+\left(-50-40 x-8 x^2+(-20-8 x) \log (5)-2 \log ^2(5)\right) \log ^2(\log (4))+\log ^4(\log (4))} \, dx","Integrate[(-100 - 40*x - 20*Log[5])/(625 + 1000*x + 600*x^2 + 160*x^3 + 16*x^4 + (500 + 600*x + 240*x^2 + 32*x^3)*Log[5] + (150 + 120*x + 24*x^2)*Log[5]^2 + (20 + 8*x)*Log[5]^3 + Log[5]^4 + (-50 - 40*x - 8*x^2 + (-20 - 8*x)*Log[5] - 2*Log[5]^2)*Log[Log[4]]^2 + Log[Log[4]]^4),x]","\frac{5}{4 x^2+20 x+4 x \log (5)+25-\log ^2(\log (4))+\log ^2(5)+10 \log (5)}","\frac{5}{(2 x+5+\log (5))^2-\log ^2(\log (4))}",1,"5/(25 + 20*x + 4*x^2 + 10*Log[5] + 4*x*Log[5] + Log[5]^2 - Log[Log[4]]^2)","A",1
9931,1,22,22,0.0186056,"\int \frac{e^{\frac{16}{x^4}} \left(-51200-6400 e^5\right)+2 x^5}{200 x^5+25 e^5 x^5} \, dx","Integrate[(E^(16/x^4)*(-51200 - 6400*E^5) + 2*x^5)/(200*x^5 + 25*E^5*x^5),x]","4 e^{\frac{16}{x^4}}+\frac{2 x}{25 \left(8+e^5\right)}","4 \left(e^{\frac{16}{x^4}}+\frac{x}{50 \left(8+e^5\right)}\right)",1,"4*E^(16/x^4) + (2*x)/(25*(8 + E^5))","A",1
9932,1,28,25,0.0384233,"\int \frac{64+128 x+64 x^2+8 x^3+4 x^4+e^{5/4} \left(16+32 x+16 x^2\right)}{256+512 x+256 x^2-32 x^3-32 x^4+x^6+e^{5/2} \left(16+32 x+16 x^2\right)+e^{5/4} \left(128+256 x+128 x^2-8 x^3-8 x^4\right)} \, dx","Integrate[(64 + 128*x + 64*x^2 + 8*x^3 + 4*x^4 + E^(5/4)*(16 + 32*x + 16*x^2))/(256 + 512*x + 256*x^2 - 32*x^3 - 32*x^4 + x^6 + E^(5/2)*(16 + 32*x + 16*x^2) + E^(5/4)*(128 + 256*x + 128*x^2 - 8*x^3 - 8*x^4)),x]","\frac{4 x (x+1)}{-x^3+16 x+4 e^{5/4} (x+1)+16}","\frac{x}{-\frac{x^2}{\frac{4}{x}+4}+e^{5/4}+4}",1,"(4*x*(1 + x))/(16 + 16*x - x^3 + 4*E^(5/4)*(1 + x))","A",1
9933,1,26,28,1.1096017,"\int \frac{e^{-x^2} \left(e^{3+\frac{e^{3-x^2}}{x+x^4}} \left(-1-2 x^2-4 x^3-2 x^5\right)+e^{x+x^2} \left(x^2+2 x^5+x^8\right)\right)}{x^2+2 x^5+x^8} \, dx","Integrate[(E^(3 + E^(3 - x^2)/(x + x^4))*(-1 - 2*x^2 - 4*x^3 - 2*x^5) + E^(x + x^2)*(x^2 + 2*x^5 + x^8))/(E^x^2*(x^2 + 2*x^5 + x^8)),x]","e^{\frac{e^{3-x^2}}{x \left(x^3+1\right)}}+e^x","e^{\frac{e^{3-x^2}}{x^4+x}}+e^x-e^4",1,"E^x + E^(E^(3 - x^2)/(x*(1 + x^3)))","A",1
9934,1,27,27,0.0944638,"\int \frac{e^{\frac{1}{16} \left(80+x^2\right)} \left(-32 x+8 x^2\right) \log (x)+\left(e^{\frac{1}{16} \left(80+x^2\right)} \left(-32+40 x-8 x^2\right) \log (-1+x)+e^{\frac{1}{16} \left(80+x^2\right)} \left(-8 x+12 x^2-5 x^3+x^4\right) \log (-1+x) \log (x)\right) \log (\log (-1+x))}{\left(-5 x+5 x^2\right) \log (-1+x) \log ^2(x)} \, dx","Integrate[(E^((80 + x^2)/16)*(-32*x + 8*x^2)*Log[x] + (E^((80 + x^2)/16)*(-32 + 40*x - 8*x^2)*Log[-1 + x] + E^((80 + x^2)/16)*(-8*x + 12*x^2 - 5*x^3 + x^4)*Log[-1 + x]*Log[x])*Log[Log[-1 + x]])/((-5*x + 5*x^2)*Log[-1 + x]*Log[x]^2),x]","\frac{8 e^{\frac{x^2}{16}+5} (x-4) \log (\log (x-1))}{5 \log (x)}","\frac{8 e^{\frac{x^2}{16}+5} (x-4) \log (\log (x-1))}{5 \log (x)}",1,"(8*E^(5 + x^2/16)*(-4 + x)*Log[Log[-1 + x]])/(5*Log[x])","A",1
9935,1,21,23,0.4084436,"\int \frac{e^{-x^5} \left(\exp \left(2 e^{\frac{e^{-x^5} \left(1-2 e^{x^5} x\right)}{x}}+\frac{e^{-x^5} \left(1-2 e^{x^5} x\right)}{x}\right) \left(-2-10 x^5\right)+\exp \left(e^{\frac{e^{-x^5} \left(1-2 e^{x^5} x\right)}{x}}+\frac{e^{-x^5} \left(1-2 e^{x^5} x\right)}{x}\right) \left(8+40 x^5\right)\right)}{x^2} \, dx","Integrate[(E^(2*E^((1 - 2*E^x^5*x)/(E^x^5*x)) + (1 - 2*E^x^5*x)/(E^x^5*x))*(-2 - 10*x^5) + E^(E^((1 - 2*E^x^5*x)/(E^x^5*x)) + (1 - 2*E^x^5*x)/(E^x^5*x))*(8 + 40*x^5))/(E^x^5*x^2),x]","\left(e^{e^{\frac{e^{-x^5}}{x}-2}}-4\right)^2","\left(4-e^{e^{\frac{e^{-x^5}}{x}-2}}\right)^2",1,"(-4 + E^E^(-2 + 1/(E^x^5*x)))^2","A",1
9936,1,29,29,0.0635472,"\int \frac{\left(-5+10 x-x^2-2 x^3\right) \log (x)+\left(5-x^2\right) \log \left(\frac{5-x^2}{x}\right)}{-10 x+2 x^3} \, dx","Integrate[((-5 + 10*x - x^2 - 2*x^3)*Log[x] + (5 - x^2)*Log[(5 - x^2)/x])/(-10*x + 2*x^3),x]","\frac{1}{2} \left(-\log (x) \log \left(\frac{5-x^2}{x}\right)+2 x-2 x \log (x)\right)","x+\left(-x-\frac{1}{2} \log \left(\frac{5}{x}-x\right)+1\right) \log (x)-\log (x)-4",1,"(2*x - 2*x*Log[x] - Log[x]*Log[(5 - x^2)/x])/2","A",1
9937,1,17,17,0.0056336,"\int \frac{e^{6-x} \left(-12+e^5 (-12-6 x)-6 x\right)}{x^3} \, dx","Integrate[(E^(6 - x)*(-12 + E^5*(-12 - 6*x) - 6*x))/x^3,x]","\frac{6 \left(1+e^5\right) e^{6-x}}{x^2}","\frac{6 \left(1+e^5\right) e^{6-x}}{x^2}",1,"(6*E^(6 - x)*(1 + E^5))/x^2","A",1
9938,1,33,34,0.1473698,"\int \frac{e^4 x-e^5 x+e^3 \log \left(2 e^{-2 x}\right) \log (x)+\left(-2 e^2 x+e^3 x\right) \log ^2(x)+x \log ^4(x)}{2 e^4 x-4 e^2 x \log ^2(x)+2 x \log ^4(x)} \, dx","Integrate[(E^4*x - E^5*x + E^3*Log[2/E^(2*x)]*Log[x] + (-2*E^2*x + E^3*x)*Log[x]^2 + x*Log[x]^4)/(2*E^4*x - 4*E^2*x*Log[x]^2 + 2*x*Log[x]^4),x]","\frac{1}{2} \left(x+\frac{e^3 \log \left(2 e^{-2 x}\right)}{2 \left(e^2-\log ^2(x)\right)}\right)","\frac{1}{4} \left(2 x+\frac{e^3 \log \left(2 e^{-2 x}\right)}{e^2-\log ^2(x)}\right)+2",1,"(x + (E^3*Log[2/E^(2*x)])/(2*(E^2 - Log[x]^2)))/2","A",1
9939,1,18,22,0.1622595,"\int \frac{\left(-20 x-20 x^2-5 x^3\right) \log (2 x)+\log ^{\frac{9}{2+x}}(2 x) (216+108 x-108 x \log (2 x) \log (\log (2 x)))}{\left(48 x+48 x^2+12 x^3\right) \log (2 x)} \, dx","Integrate[((-20*x - 20*x^2 - 5*x^3)*Log[2*x] + Log[2*x]^(9/(2 + x))*(216 + 108*x - 108*x*Log[2*x]*Log[Log[2*x]]))/((48*x + 48*x^2 + 12*x^3)*Log[2*x]),x]","\log ^{\frac{9}{x+2}}(2 x)-\frac{5 x}{12}","\frac{1}{12} (-5 x-4)+\log ^{\frac{9}{x+2}}(2 x)",1,"(-5*x)/12 + Log[2*x]^(9/(2 + x))","A",1
9940,1,70,25,0.0355764,"\int \left(6-6 x^2+e^{x^3} \left(2+6 x^3\right)-8 x \log (\log (5))-2 \log ^2(\log (5))\right) \, dx","Integrate[6 - 6*x^2 + E^x^3*(2 + 6*x^3) - 8*x*Log[Log[5]] - 2*Log[Log[5]]^2,x]","-2 x^3-\frac{2 x \Gamma \left(\frac{1}{3},-x^3\right)}{3 \sqrt[3]{-x^3}}-4 x^2 \log (\log (5))-\frac{2 x^4 \Gamma \left(\frac{4}{3},-x^3\right)}{\left(-x^3\right)^{4/3}}-2 x \left(\log ^2(\log (5))-3\right)","2 x \left(e^{x^3}-(x+\log (\log (5)))^2+3\right)+1-\log (3)",1,"-2*x^3 - (2*x*Gamma[1/3, -x^3])/(3*(-x^3)^(1/3)) - (2*x^4*Gamma[4/3, -x^3])/(-x^3)^(4/3) - 4*x^2*Log[Log[5]] - 2*x*(-3 + Log[Log[5]]^2)","C",1
9941,1,34,32,0.4734643,"\int \frac{3 x^2+x^3+3 x^2 \log (x)+e^{2 e^x} (3+x+3 \log (x))+e^{e^x} \left(6 x+2 x^2+6 x \log (x)\right)+e^{e^x} \left(-3+3 e^x x\right) \log (x) \log \left(\frac{\log (x)}{2}\right)+\left(\left(6 x^2+2 x^3\right) \log (x)+3 x^2 \log ^2(x)+e^{2 e^x} \left((6+2 x) \log (x)+3 \log ^2(x)\right)+e^{e^x} \left(\left(12 x+4 x^2\right) \log (x)+6 x \log ^2(x)\right)\right) \log \left(\frac{\log (x)}{2}\right) \log \left(\log \left(\frac{\log (x)}{2}\right)\right)}{\left(3 e^{2 e^x} \log (x)+6 e^{e^x} x \log (x)+3 x^2 \log (x)\right) \log \left(\frac{\log (x)}{2}\right)} \, dx","Integrate[(3*x^2 + x^3 + 3*x^2*Log[x] + E^(2*E^x)*(3 + x + 3*Log[x]) + E^E^x*(6*x + 2*x^2 + 6*x*Log[x]) + E^E^x*(-3 + 3*E^x*x)*Log[x]*Log[Log[x]/2] + ((6*x^2 + 2*x^3)*Log[x] + 3*x^2*Log[x]^2 + E^(2*E^x)*((6 + 2*x)*Log[x] + 3*Log[x]^2) + E^E^x*((12*x + 4*x^2)*Log[x] + 6*x*Log[x]^2))*Log[Log[x]/2]*Log[Log[Log[x]/2]])/((3*E^(2*E^x)*Log[x] + 6*E^E^x*x*Log[x] + 3*x^2*Log[x])*Log[Log[x]/2]),x]","\frac{1}{3} \left(x (x+3 \log (x)+3) \log \left(\log \left(\frac{\log (x)}{2}\right)\right)-\frac{3 x}{x+e^{e^x}}\right)","x \left(\frac{x}{3}+\log (x)+1\right) \log \left(\log \left(\frac{\log (x)}{2}\right)\right)-\frac{x}{x+e^{e^x}}",1,"((-3*x)/(E^E^x + x) + x*(3 + x + 3*Log[x])*Log[Log[Log[x]/2]])/3","A",1
9942,1,47,34,0.0447814,"\int \frac{32-96 x+36 x^2-4 x^3+3 e^{\frac{2}{x}-x} \left(32-48 x+34 x^2-10 x^3+x^4\right)}{16-8 x+x^2} \, dx","Integrate[(32 - 96*x + 36*x^2 - 4*x^3 + 3*E^(2/x - x)*(32 - 48*x + 34*x^2 - 10*x^3 + x^4))/(16 - 8*x + x^2),x]","\frac{3 e^{\frac{2}{x}-x} \left(x^2+2\right)}{-\frac{2}{x^2}-1}-2 (x-4)^2-12 (x-4)+\frac{32}{x-4}","x \left(-\left(\left(3 e^{\frac{2}{x}-x}+\frac{2}{4-x}+1\right) x\right)-x+2\right)",1,"32/(-4 + x) - 12*(-4 + x) - 2*(-4 + x)^2 + (3*E^(2/x - x)*(2 + x^2))/(-1 - 2/x^2)","A",1
9943,1,25,31,0.9881944,"\int \frac{\left(\left(-5 x^2+x^3\right) \log (4)+(5-x) \log ^2(4) \log (5-x)+\left(\left(15 x^2-3 x^3\right) \log (4)+x \log ^2(4)+(-5+x) \log ^2(4) \log (5-x)\right) \log (x)\right) \log (\log (2))}{-5 x^6+x^7+\left(10 x^4-2 x^5\right) \log (4) \log (5-x)+\left(-5 x^2+x^3\right) \log ^2(4) \log ^2(5-x)} \, dx","Integrate[(((-5*x^2 + x^3)*Log[4] + (5 - x)*Log[4]^2*Log[5 - x] + ((15*x^2 - 3*x^3)*Log[4] + x*Log[4]^2 + (-5 + x)*Log[4]^2*Log[5 - x])*Log[x])*Log[Log[2]])/(-5*x^6 + x^7 + (10*x^4 - 2*x^5)*Log[4]*Log[5 - x] + (-5*x^2 + x^3)*Log[4]^2*Log[5 - x]^2),x]","\frac{\log (4) \log (\log (2)) \log (x)}{x^3-x \log (4) \log (5-x)}","\log (\log (2)) \left(6-\frac{\log (x)}{x \left(\log (5-x)-\frac{x^2}{\log (4)}\right)}\right)",1,"(Log[4]*Log[x]*Log[Log[2]])/(x^3 - x*Log[4]*Log[5 - x])","A",1
9944,1,16,19,0.0211751,"\int \frac{1}{8} e^{\frac{1}{8} \left(-96+24 e^{5 x}-x\right)} \left(-1+120 e^{5 x}\right) \, dx","Integrate[(E^((-96 + 24*E^(5*x) - x)/8)*(-1 + 120*E^(5*x)))/8,x]","e^{-\frac{x}{8}+3 e^{5 x}-12}","e^{-3 \left(4-e^{5 x}\right)-\frac{x}{8}}",1,"E^(-12 + 3*E^(5*x) - x/8)","A",1
9945,1,16,25,0.0121716,"\int \frac{4+x+2 x^2-2 e^{x^2} x^2}{x} \, dx","Integrate[(4 + x + 2*x^2 - 2*E^x^2*x^2)/x,x]","x^2-e^{x^2}+x+4 \log (x)","\log \left(e^x x^4\right)+x^2-e^{x^2}+3 e^3-2",1,"-E^x^2 + x + x^2 + 4*Log[x]","A",1
9946,1,18,21,0.0474407,"\int \frac{1}{10} e^{-136-x} (1-2 \log (4)+(1-x) \log (x)) \, dx","Integrate[(E^(-136 - x)*(1 - 2*Log[4] + (1 - x)*Log[x]))/10,x]","\frac{1}{10} e^{-x-136} (x \log (x)+\log (16))","\frac{1}{5} e^{-x-136} \left(\frac{1}{2} x \log (x)+\log (4)\right)",1,"(E^(-136 - x)*(Log[16] + x*Log[x]))/10","A",1
9947,1,36,33,0.0872794,"\int \frac{e^{\frac{3 x^2+5 x^3+2 x^4}{(4+8 x) \log \left(x^2\right)}} \left(-6 x^2-22 x^3-24 x^4-8 x^5+\left(6 x^2+21 x^3+28 x^4+12 x^5\right) \log \left(x^2\right)+\left(-8-32 x-32 x^2\right) \log ^2\left(x^2\right)\right)}{\left(4 x^3+16 x^4+16 x^5\right) \log ^2\left(x^2\right)} \, dx","Integrate[(E^((3*x^2 + 5*x^3 + 2*x^4)/((4 + 8*x)*Log[x^2]))*(-6*x^2 - 22*x^3 - 24*x^4 - 8*x^5 + (6*x^2 + 21*x^3 + 28*x^4 + 12*x^5)*Log[x^2] + (-8 - 32*x - 32*x^2)*Log[x^2]^2))/((4*x^3 + 16*x^4 + 16*x^5)*Log[x^2]^2),x]","\frac{\exp \left(\frac{x^2 \left(2 x^2+5 x+3\right)}{4 (2 x+1) \log \left(x^2\right)}\right)}{x^2}","\frac{e^{\frac{x \left(x^2+\frac{x}{2 x+1}+2 x\right)}{4 \log \left(x^2\right)}}}{x^2}",1,"E^((x^2*(3 + 5*x + 2*x^2))/(4*(1 + 2*x)*Log[x^2]))/x^2","A",1
9948,1,23,18,0.0237272,"\int \frac{-12+e^x (-3+x)-3 x^4 \log (100)}{x^4 \log (100)} \, dx","Integrate[(-12 + E^x*(-3 + x) - 3*x^4*Log[100])/(x^4*Log[100]),x]","\frac{\frac{e^x}{x^3}+\frac{4}{x^3}-3 x \log (100)}{\log (100)}","\frac{e^x+4}{x^3 \log (100)}-3 x-3",1,"(4/x^3 + E^x/x^3 - 3*x*Log[100])/Log[100]","A",1
9949,1,14,18,0.0024755,"\int \frac{5+4 e^8-e^8 \log (x)}{5 e^8} \, dx","Integrate[(5 + 4*E^8 - E^8*Log[x])/(5*E^8),x]","\frac{x}{e^8}+x-\frac{1}{5} x \log (x)","\frac{x}{e^8}+x+\frac{1}{5} (5-x \log (x))",1,"x + x/E^8 - (x*Log[x])/5","A",1
9950,1,14,14,0.015525,"\int \frac{1}{4} e^{1-e^x+x} x \left(8+4 x-4 e^x x\right) \, dx","Integrate[(E^(1 - E^x + x)*x*(8 + 4*x - 4*E^x*x))/4,x]","e^{x-e^x+1} x^2","e^{x-e^x+1} x^2",1,"E^(1 - E^x + x)*x^2","A",1
9951,1,24,24,0.1611988,"\int \frac{\exp \left(-x^2 \log \left(x^2\right)+2 x \log \left(x^2\right) \log \left(4+20 x+25 x^2\right)-\log \left(x^2\right) \log ^2\left(4+20 x+25 x^2\right)\right) \left(-2-5 x-4 x^2-10 x^3+\left(16 x^2-10 x^3\right) \log \left(x^2\right)+\left(8 x+20 x^2+\left(-16 x+10 x^2\right) \log \left(x^2\right)\right) \log \left(4+20 x+25 x^2\right)+(-4-10 x) \log ^2\left(4+20 x+25 x^2\right)\right)}{2 x^2+5 x^3} \, dx","Integrate[(E^(-(x^2*Log[x^2]) + 2*x*Log[x^2]*Log[4 + 20*x + 25*x^2] - Log[x^2]*Log[4 + 20*x + 25*x^2]^2)*(-2 - 5*x - 4*x^2 - 10*x^3 + (16*x^2 - 10*x^3)*Log[x^2] + (8*x + 20*x^2 + (-16*x + 10*x^2)*Log[x^2])*Log[4 + 20*x + 25*x^2] + (-4 - 10*x)*Log[4 + 20*x + 25*x^2]^2))/(2*x^2 + 5*x^3),x]","\frac{\left(x^2\right)^{-\left(x-\log \left((5 x+2)^2\right)\right)^2}}{x}","\frac{\left(x^2\right)^{-\left(\log \left((5 x+2)^2\right)-x\right)^2}}{x}",1,"1/(x*(x^2)^(x - Log[(2 + 5*x)^2])^2)","A",1
9952,1,22,13,0.0048091,"\int \frac{11 x+10 x^2+(10+10 x) \log (-3 x)}{x} \, dx","Integrate[(11*x + 10*x^2 + (10 + 10*x)*Log[-3*x])/x,x]","5 x^2+x+5 \log ^2(-3 x)+10 x \log (-3 x)","x+5 (x+\log (-3 x))^2-4",1,"x + 5*x^2 + 10*x*Log[-3*x] + 5*Log[-3*x]^2","A",1
9953,1,41,32,0.2444188,"\int \frac{\exp \left(-\frac{x^2+\left(16 x+4 x^2\right) \log ^2(x)+\left(64+36 x+4 x^2\right) \log ^4(x)}{4 \log ^4(x)}\right) \left(e^5 \left(-2 x^2+2 x^3\right) \log \left(x-x^2\right)+e^5 \left(x^2-x^3\right) \log (x) \log \left(x-x^2\right)+e^5 \left(-16 x+12 x^2+4 x^3\right) \log ^2(x) \log \left(x-x^2\right)+e^5 \left(8 x-4 x^2-4 x^3\right) \log ^3(x) \log \left(x-x^2\right)+\log ^5(x) \left(e^5 (-2+4 x)+e^5 \left(18 x-14 x^2-4 x^3\right) \log \left(x-x^2\right)\right)\right)}{\left(-2 x+2 x^2\right) \log ^5(x)} \, dx","Integrate[(E^5*(-2*x^2 + 2*x^3)*Log[x - x^2] + E^5*(x^2 - x^3)*Log[x]*Log[x - x^2] + E^5*(-16*x + 12*x^2 + 4*x^3)*Log[x]^2*Log[x - x^2] + E^5*(8*x - 4*x^2 - 4*x^3)*Log[x]^3*Log[x - x^2] + Log[x]^5*(E^5*(-2 + 4*x) + E^5*(18*x - 14*x^2 - 4*x^3)*Log[x - x^2]))/(E^((x^2 + (16*x + 4*x^2)*Log[x]^2 + (64 + 36*x + 4*x^2)*Log[x]^4)/(4*Log[x]^4))*(-2*x + 2*x^2)*Log[x]^5),x]","\log (-((x-1) x)) \exp \left(-x^2-\frac{x^2}{4 \log ^4(x)}-9 x-\frac{(x+4) x}{\log ^2(x)}-11\right)","e^{-x-\left(x+\frac{x}{2 \log ^2(x)}+4\right)^2+5} \log \left(x-x^2\right)",1,"E^(-11 - 9*x - x^2 - x^2/(4*Log[x]^4) - (x*(4 + x))/Log[x]^2)*Log[-((-1 + x)*x)]","A",1
9954,1,24,23,0.1116692,"\int \frac{-10 x-10 x \log \left(\frac{100}{2401 x^2}\right) \log \left(5 \log \left(\frac{100}{2401 x^2}\right)\right)+30 x \log \left(\frac{100}{2401 x^2}\right) \log ^2\left(5 \log \left(\frac{100}{2401 x^2}\right)\right)}{\log \left(\frac{100}{2401 x^2}\right) \log ^2\left(5 \log \left(\frac{100}{2401 x^2}\right)\right)} \, dx","Integrate[(-10*x - 10*x*Log[100/(2401*x^2)]*Log[5*Log[100/(2401*x^2)]] + 30*x*Log[100/(2401*x^2)]*Log[5*Log[100/(2401*x^2)]]^2)/(Log[100/(2401*x^2)]*Log[5*Log[100/(2401*x^2)]]^2),x]","15 x^2-\frac{5 x^2}{\log \left(5 \log \left(\frac{100}{2401 x^2}\right)\right)}","x^2 \left(15-\frac{5}{\log \left(5 \log \left(\frac{100}{2401 x^2}\right)\right)}\right)-5",1,"15*x^2 - (5*x^2)/Log[5*Log[100/(2401*x^2)]]","A",1
9955,1,23,29,0.0170226,"\int \frac{-108-72 x-48 x^2-24 x^3-4 x^4+e^5 \left(11 x^2+6 x^3+x^4\right)}{9 x^2+6 x^3+x^4} \, dx","Integrate[(-108 - 72*x - 48*x^2 - 24*x^3 - 4*x^4 + E^5*(11*x^2 + 6*x^3 + x^4))/(9*x^2 + 6*x^3 + x^4),x]","\left(e^5-4\right) x-\frac{2 e^5}{x+3}+\frac{12}{x}","-e^5 \left(\frac{2}{x+3}-x\right)+\frac{12}{x}-4 (x+\log (3))-3",1,"12/x + (-4 + E^5)*x - (2*E^5)/(3 + x)","A",1
9956,1,28,28,0.0269509,"\int \frac{e^5 (-4-x)-40 x+19 x^2+2 x^3+e^5 \log (2)}{-e^5 x-5 x^2+2 x^3+e^5 \log (2)} \, dx","Integrate[(E^5*(-4 - x) - 40*x + 19*x^2 + 2*x^3 + E^5*Log[2])/(-(E^5*x) - 5*x^2 + 2*x^3 + E^5*Log[2]),x]","4 \log \left(-2 x^3+5 x^2+e^5 x-e^5 \log (2)\right)+x","x+2 \log \left(\left(-\frac{((2 x-6) x+x) x}{e^5}+x-\log (2)\right)^2\right)",1,"x + 4*Log[E^5*x + 5*x^2 - 2*x^3 - E^5*Log[2]]","A",1
9957,1,28,25,0.0810398,"\int \frac{14 e^5+63 x+42 x^2+\left(-63 x-84 x^2\right) \log (x)-6 e^5 x \log ^2(x)}{7 e^5 x \log ^2(x)} \, dx","Integrate[(14*E^5 + 63*x + 42*x^2 + (-63*x - 84*x^2)*Log[x] - 6*E^5*x*Log[x]^2)/(7*E^5*x*Log[x]^2),x]","\frac{-6 x^2-9 x-2 e^5}{e^5 \log (x)}-\frac{6 x}{7}","-\frac{6 x}{7}-\frac{\frac{3 x (2 x+3)}{e^5}+2}{\log (x)}",1,"(-6*x)/7 + (-2*E^5 - 9*x - 6*x^2)/(E^5*Log[x])","A",1
9958,1,32,33,0.6845027,"\int \frac{-18 x^2-6 x^3+e^2 \left(-18 x-6 x^2\right)+e^2 \left(-18 x-6 x^2\right) \log (x)-15 x \log ^2(x)+(90+30 x) \log ^2(x) \log (3+x)+e^{e^x} \left(-3 x \log ^2(x)+\left(18+6 x+e^x \left(-9 x-3 x^2\right)\right) \log ^2(x) \log (3+x)\right)}{\left(3 x^3+x^4\right) \log ^2(x)} \, dx","Integrate[(-18*x^2 - 6*x^3 + E^2*(-18*x - 6*x^2) + E^2*(-18*x - 6*x^2)*Log[x] - 15*x*Log[x]^2 + (90 + 30*x)*Log[x]^2*Log[3 + x] + E^E^x*(-3*x*Log[x]^2 + (18 + 6*x + E^x*(-9*x - 3*x^2))*Log[x]^2*Log[3 + x]))/((3*x^3 + x^4)*Log[x]^2),x]","-\frac{3 \left(\left(e^{e^x}+5\right) \log (x) \log (x+3)-2 x \left(x+e^2\right)\right)}{x^2 \log (x)}","\frac{3 \left(\frac{2 \left(x+e^2\right)}{\log (x)}-\frac{\left(e^{e^x}+5\right) \log (x+3)}{x}\right)}{x}",1,"(-3*(-2*x*(E^2 + x) + (5 + E^E^x)*Log[x]*Log[3 + x]))/(x^2*Log[x])","A",1
9959,1,18,20,0.0308077,"\int \frac{32 x+160 \log (3)-32 \log ^2(3)}{-x^4-9 x^3 \log (3)-27 x^2 \log ^2(3)-27 x \log ^3(3)+\left(-15 x^3 \log (3)+\left(-90 x^2+3 x^3\right) \log ^2(3)+\left(-135 x+18 x^2\right) \log ^3(3)+27 x \log ^4(3)\right) \log (x)+\left(-75 x^2 \log ^2(3)+\left(-225 x+30 x^2\right) \log ^3(3)+\left(90 x-3 x^2\right) \log ^4(3)-9 x \log ^5(3)\right) \log ^2(x)+\left(-125 x \log ^3(3)+75 x \log ^4(3)-15 x \log ^5(3)+x \log ^6(3)\right) \log ^3(x)} \, dx","Integrate[(32*x + 160*Log[3] - 32*Log[3]^2)/(-x^4 - 9*x^3*Log[3] - 27*x^2*Log[3]^2 - 27*x*Log[3]^3 + (-15*x^3*Log[3] + (-90*x^2 + 3*x^3)*Log[3]^2 + (-135*x + 18*x^2)*Log[3]^3 + 27*x*Log[3]^4)*Log[x] + (-75*x^2*Log[3]^2 + (-225*x + 30*x^2)*Log[3]^3 + (90*x - 3*x^2)*Log[3]^4 - 9*x*Log[3]^5)*Log[x]^2 + (-125*x*Log[3]^3 + 75*x*Log[3]^4 - 15*x*Log[3]^5 + x*Log[3]^6)*Log[x]^3),x]","\frac{16}{(x-(\log (3)-5) \log (3) \log (x)+\log (27))^2}","\frac{16}{(x+\log (3) ((5-\log (3)) \log (x)+3))^2}",1,"16/(x + Log[27] - (-5 + Log[3])*Log[3]*Log[x])^2","A",1
9960,1,70,29,0.0094746,"\int \frac{35 x+8 e^2 x+7 x^2+26 x^3+\left(-5 x-e^2 x-2 x^2-3 x^3\right) \log (x)+e^3 x (5-17 x+2 x \log (x))}{x} \, dx","Integrate[(35*x + 8*E^2*x + 7*x^2 + 26*x^3 + (-5*x - E^2*x - 2*x^2 - 3*x^3)*Log[x] + E^3*x*(5 - 17*x + 2*x*Log[x]))/x,x]","9 x^3+x^3 (-\log (x))-9 e^3 x^2+4 x^2+e^3 x^2 \log (x)-x^2 \log (x)+5 e^3 x+9 e^2 x+40 x-e^2 x \log (x)-5 x \log (x)","\left(-x^2+e^3 x-x-e^2-5\right) (x (\log (x)-9)+5)",1,"40*x + 9*E^2*x + 5*E^3*x + 4*x^2 - 9*E^3*x^2 + 9*x^3 - 5*x*Log[x] - E^2*x*Log[x] - x^2*Log[x] + E^3*x^2*Log[x] - x^3*Log[x]","B",1
9961,1,29,26,0.3878713,"\int \frac{-4+4 e^3-4 e^{e^x} x^4+e^{e^x} \left(40 x^3+10 e^x x^4\right) \log \left(1-e^3+e^{e^x} x^4\right)}{5-5 e^3+5 e^{e^x} x^4} \, dx","Integrate[(-4 + 4*E^3 - 4*E^E^x*x^4 + E^E^x*(40*x^3 + 10*E^x*x^4)*Log[1 - E^3 + E^E^x*x^4])/(5 - 5*E^3 + 5*E^E^x*x^4),x]","\frac{1}{5} \left(5 \log ^2\left(e^{e^x} x^4-e^3+1\right)-4 x\right)","\log ^2\left(e^{e^x} x^4-e^3+1\right)-\frac{4 x}{5}-4",1,"(-4*x + 5*Log[1 - E^3 + E^E^x*x^4]^2)/5","A",1
9962,1,26,27,0.5852972,"\int \frac{10 x+2 x^2+2 \sqrt[3]{e} x^2+4 e^{2/3} x^2+\left(-10 x-x^2+\sqrt[3]{e} \left(-20 x-4 x^2\right)\right) \log \left(x^2\right)+\left(25+10 x+x^2\right) \log ^2\left(x^2\right)}{4 e^{2/3} x^2+\sqrt[3]{e} \left(-20 x-4 x^2\right) \log \left(x^2\right)+\left(25+10 x+x^2\right) \log ^2\left(x^2\right)} \, dx","Integrate[(10*x + 2*x^2 + 2*E^(1/3)*x^2 + 4*E^(2/3)*x^2 + (-10*x - x^2 + E^(1/3)*(-20*x - 4*x^2))*Log[x^2] + (25 + 10*x + x^2)*Log[x^2]^2)/(4*E^(2/3)*x^2 + E^(1/3)*(-20*x - 4*x^2)*Log[x^2] + (25 + 10*x + x^2)*Log[x^2]^2),x]","\frac{x^2}{2 \sqrt[3]{e} x-(x+5) \log \left(x^2\right)}+x","\frac{x}{2 \sqrt[3]{e}-\frac{(x+5) \log \left(x^2\right)}{x}}+x-4",1,"x + x^2/(2*E^(1/3)*x - (5 + x)*Log[x^2])","A",1
9963,1,37,29,0.0211256,"\int \frac{-50 x+10 e^3 x+32000 x^4-38400 x^5+16800 x^6-3200 x^7+225 x^8}{e^3} \, dx","Integrate[(-50*x + 10*E^3*x + 32000*x^4 - 38400*x^5 + 16800*x^6 - 3200*x^7 + 225*x^8)/E^3,x]","5 x^2 \left(\frac{5 \left(x^7-16 x^6+96 x^5-256 x^4+256 x^3-1\right)}{e^3}+1\right)","5 \left(x^2-5 \left(16-\frac{x \left((x-4)^4 x^4-x\right)}{e^3}\right)\right)",1,"5*x^2*(1 + (5*(-1 + 256*x^3 - 256*x^4 + 96*x^5 - 16*x^6 + x^7))/E^3)","A",1
9964,1,18,22,0.0968502,"\int \frac{e^{2 x} \left(-16-24 x-12 x^2+4 x^3\right)}{128+128 x+8 x^2-20 x^3-2 x^4+x^5} \, dx","Integrate[(E^(2*x)*(-16 - 24*x - 12*x^2 + 4*x^3))/(128 + 128*x + 8*x^2 - 20*x^3 - 2*x^4 + x^5),x]","\frac{2 e^{2 x} x}{(x-4) (x+2)^2}","\frac{2 e^{2 x}}{(x-4) \left(x+\frac{4}{x}+4\right)}",1,"(2*E^(2*x)*x)/((-4 + x)*(2 + x)^2)","A",1
9965,1,156,28,0.5916503,"\int \left(36-24 e^5+18 x+\left(72+32 e^{10}+e^5 (-96-80 x)+120 x+36 x^2\right) \log (4)+\left(72 x+32 e^{10} x+72 x^2+16 x^3+e^5 \left(-96 x-48 x^2\right)\right) \log ^2(4)+e^{2 x} \left(2 e^{10}+e^{10} (2+4 x) \log (4)+e^{10} \left(2 x+2 x^2\right) \log ^2(4)\right)+e^x \left(8 e^{10}+e^5 (-18-6 x)+\left(e^{10} (16+16 x)+e^5 \left(-24-44 x-10 x^2\right)\right) \log (4)+\left(e^{10} \left(16 x+8 x^2\right)+e^5 \left(-24 x-24 x^2-4 x^3\right)\right) \log ^2(4)\right)\right) \, dx","Integrate[36 - 24*E^5 + 18*x + (72 + 32*E^10 + E^5*(-96 - 80*x) + 120*x + 36*x^2)*Log[4] + (72*x + 32*E^10*x + 72*x^2 + 16*x^3 + E^5*(-96*x - 48*x^2))*Log[4]^2 + E^(2*x)*(2*E^10 + E^10*(2 + 4*x)*Log[4] + E^10*(2*x + 2*x^2)*Log[4]^2) + E^x*(8*E^10 + E^5*(-18 - 6*x) + (E^10*(16 + 16*x) + E^5*(-24 - 44*x - 10*x^2))*Log[4] + (E^10*(16*x + 8*x^2) + E^5*(-24*x - 24*x^2 - 4*x^3))*Log[4]^2),x]","-8 e^5 x \left(2 x^2 \log ^2(4)+x \log (4) (5+6 \log (4))+3+12 \log (4)\right)+x \left(4 x^3 \log ^2(4)+12 x^2 \log (4) (1+\log (16))+x \left(9+36 \log ^2(4)+60 \log (4)\right)+36+72 \log (4)\right)-2 e^{x+5} \left(2 x^3 \log ^2(4)+x^2 \log (4) (5+6 \log (4))+3 x (1+\log (256))+6\right)+e^{2 (x+5)} (x \log (4)+1)^2+8 e^{x+10} (x \log (4)+1)^2+16 e^{10} x \log (4) (x \log (4)+2)","\left(x+\left(2 (x+3)-e^5 \left(e^x+4\right)\right) x \left(\frac{1}{x}+\log (4)\right)\right)^2",1,"E^(2*(5 + x))*(1 + x*Log[4])^2 + 8*E^(10 + x)*(1 + x*Log[4])^2 + 16*E^10*x*Log[4]*(2 + x*Log[4]) - 8*E^5*x*(3 + 12*Log[4] + 2*x^2*Log[4]^2 + x*Log[4]*(5 + 6*Log[4])) + x*(36 + 72*Log[4] + 4*x^3*Log[4]^2 + x*(9 + 60*Log[4] + 36*Log[4]^2) + 12*x^2*Log[4]*(1 + Log[16])) - 2*E^(5 + x)*(6 + 2*x^3*Log[4]^2 + x^2*Log[4]*(5 + 6*Log[4]) + 3*x*(1 + Log[256]))","B",0
9966,1,21,20,0.2518025,"\int \frac{\left(-4 e^x x+e^{x+x^2} \left(4 x+8 x^2\right)\right) \log ^3\left(e^x-e^{x+x^2}\right)+\left(4 e^x-4 e^{x+x^2}\right) \log ^4\left(e^x-e^{x+x^2}\right)}{-e^x x^5+e^{x+x^2} x^5} \, dx","Integrate[((-4*E^x*x + E^(x + x^2)*(4*x + 8*x^2))*Log[E^x - E^(x + x^2)]^3 + (4*E^x - 4*E^(x + x^2))*Log[E^x - E^(x + x^2)]^4)/(-(E^x*x^5) + E^(x + x^2)*x^5),x]","\frac{\log ^4\left(-e^x \left(e^{x^2}-1\right)\right)}{x^4}-1","\frac{\log ^4\left(e^x-e^{x^2+x}\right)}{x^4}",1,"-1 + Log[-(E^x*(-1 + E^x^2))]^4/x^4","A",1
9967,1,35,31,0.5502079,"\int \frac{-120+e^{2 x} \left(-100-80 x-16 x^2\right)+e^x \left(220+116 x+8 x^2\right)}{36-60 x+25 x^2+e^x \left(-60+86 x-6 x^2-20 x^3\right)+e^{2 x} \left(25-30 x-11 x^2+12 x^3+4 x^4\right)} \, dx","Integrate[(-120 + E^(2*x)*(-100 - 80*x - 16*x^2) + E^x*(220 + 116*x + 8*x^2))/(36 - 60*x + 25*x^2 + E^x*(-60 + 86*x - 6*x^2 - 20*x^3) + E^(2*x)*(25 - 30*x - 11*x^2 + 12*x^3 + 4*x^4)),x]","-\frac{4 \left(6-e^x (2 x+5)\right)}{e^x \left(2 x^2+3 x-5\right)-5 x+6}","\frac{4}{\frac{\frac{x}{e^x (2 x+5)-5}-x}{x^2}+1}+16",1,"(-4*(6 - E^x*(5 + 2*x)))/(6 - 5*x + E^x*(-5 + 3*x + 2*x^2))","A",1
9968,1,47,27,0.1816008,"\int \frac{1}{25} \left(10 x+16 x^3+e^{4 x} \left(6 x^5+4 x^6\right)+12 x^2 \log (2)+2 x \log ^2(2)+e^{2 x} \left(-20 x^4-8 x^5+\left(-8 x^3-4 x^4\right) \log (2)\right)\right) \, dx","Integrate[(10*x + 16*x^3 + E^(4*x)*(6*x^5 + 4*x^6) + 12*x^2*Log[2] + 2*x*Log[2]^2 + E^(2*x)*(-20*x^4 - 8*x^5 + (-8*x^3 - 4*x^4)*Log[2]))/25,x]","\frac{1}{25} x^2 \left(e^{4 x} x^4+4 x^2-2 e^{2 x} x^2 (2 x+\log (2))+x \log (16)+5+\log ^2(2)\right)","\frac{1}{25} x^2 \left(\left(-e^{2 x} x^2+2 x+\log (2)\right)^2+5\right)",1,"(x^2*(5 + 4*x^2 + E^(4*x)*x^4 + Log[2]^2 - 2*E^(2*x)*x^2*(2*x + Log[2]) + x*Log[16]))/25","A",1
9969,1,18,18,0.0627354,"\int \frac{e^x \left(2+6 x-x^2\right)+2 e^x x \log (x)}{2 e^3 x} \, dx","Integrate[(E^x*(2 + 6*x - x^2) + 2*E^x*x*Log[x])/(2*E^3*x),x]","\frac{1}{2} e^{x-3} (-x+2 \log (x)+7)","e^{x-3} \left(\frac{7-x}{2}+\log (x)\right)",1,"(E^(-3 + x)*(7 - x + 2*Log[x]))/2","A",1
9970,1,89,22,0.0456556,"\int \frac{-4 x^2+4900 x^5-125 x^6+\left(196-8 x+6125 x^4-150 x^5\right) \log (5)}{x^2+2 x \log (5)+\log ^2(5)} \, dx","Integrate[(-4*x^2 + 4900*x^5 - 125*x^6 + (196 - 8*x + 6125*x^4 - 150*x^5)*Log[5])/(x^2 + 2*x*Log[5] + Log[5]^2),x]","\frac{-25 x^6+1225 x^5+x^2 \left(-4-375 \log ^4(5)+125 \log ^3(5) \log (125)\right)-x \log (5) \left(4+625 \log ^4(5)-25 \log ^3(5) (8 \log (125)-49)\right)-\log (5) \left(196+625 \log ^5(5)-25 \log ^4(5) (8 \log (125)-49)+\log (625)\right)}{x+\log (5)}","\frac{(49-x) x \left(25 x^4+4\right)}{x+\log (5)}+2",1,"(1225*x^5 - 25*x^6 + x^2*(-4 - 375*Log[5]^4 + 125*Log[5]^3*Log[125]) - x*Log[5]*(4 + 625*Log[5]^4 - 25*Log[5]^3*(-49 + 8*Log[125])) - Log[5]*(196 + 625*Log[5]^5 - 25*Log[5]^4*(-49 + 8*Log[125]) + Log[625]))/(x + Log[5])","B",1
9971,1,21,20,0.0128959,"\int \left(131+44 x+2 e^{\frac{1}{3} \left(1+3 x^2\right)} x+3 x^2\right) \, dx","Integrate[131 + 44*x + 2*E^((1 + 3*x^2)/3)*x + 3*x^2,x]","x^3+22 x^2+e^{x^2+\frac{1}{3}}+131 x","e^{x^2+\frac{1}{3}}+\left((x+11)^2+9\right) x+x",1,"E^(1/3 + x^2) + 131*x + 22*x^2 + x^3","A",1
9972,1,20,28,0.3447706,"\int \frac{15-15 x+30 x^2+e^{2 x} \left(-3-3 x-6 x^2+6 x^3\right)}{1+x-2 x^2-2 x^3+x^4+x^5} \, dx","Integrate[(15 - 15*x + 30*x^2 + E^(2*x)*(-3 - 3*x - 6*x^2 + 6*x^3))/(1 + x - 2*x^2 - 2*x^3 + x^4 + x^5),x]","\frac{3 \left(e^{2 x}-5\right) x}{(x-1) (x+1)^2}","\frac{3 \left(e^{2 x}-5\right)}{x^2-\frac{x^2+x}{x^2}+x}-3",1,"(3*(-5 + E^(2*x))*x)/((-1 + x)*(1 + x)^2)","A",1
9973,1,20,21,0.1042404,"\int \frac{8+e^{21 x} \left(-16 x-152 x^2+336 x^3\right)}{1-4 x+4 x^2} \, dx","Integrate[(8 + E^(21*x)*(-16*x - 152*x^2 + 336*x^3))/(1 - 4*x + 4*x^2),x]","\frac{4-8 e^{21 x} x^2}{1-2 x}","\frac{2 \left(2 e^{21 x} x^2-1\right)}{x-\frac{1}{2}}",1,"(4 - 8*E^(21*x)*x^2)/(1 - 2*x)","A",1
9974,1,16,22,0.0047272,"\int \frac{-17-10 x+9 x^2}{9-17 x-5 x^2+3 x^3} \, dx","Integrate[(-17 - 10*x + 9*x^2)/(9 - 17*x - 5*x^2 + 3*x^3),x]","\log \left(3 x^3-5 x^2-17 x+9\right)","\log \left(2 \left(\left(x^2-\frac{5 (x+4)}{3}+2\right) x-x+3\right)\right)",1,"Log[9 - 17*x - 5*x^2 + 3*x^3]","A",1
9975,1,14,18,0.0001001,"\int e^e \left(2+e^4\right) \, dx","Integrate[E^E*(2 + E^4),x]","e^{4+e} x+2 e^e x","e^e \left(2+e^4\right) x+4+2 \log \left(\frac{4}{3}\right)",1,"2*E^E*x + E^(4 + E)*x","A",1
9976,1,20,22,0.1407079,"\int \frac{-24+8 e^6+e^{2 x}+2 x-x^2}{24-8 e^6+e^{2 x}+x^2} \, dx","Integrate[(-24 + 8*E^6 + E^(2*x) + 2*x - x^2)/(24 - 8*E^6 + E^(2*x) + x^2),x]","\log \left(x^2+e^{2 x}-8 e^6+24\right)-x","\log \left(e^{-x} \left(x^2-8 \left(e^6-3\right)\right)+e^x\right)",1,"-x + Log[24 - 8*E^6 + E^(2*x) + x^2]","A",1
9977,1,13,17,0.002001,"\int \frac{6+6 x^3-6 \log (x)}{x^2} \, dx","Integrate[(6 + 6*x^3 - 6*Log[x])/x^2,x]","3 x^2+\frac{6 \log (x)}{x}","3 \left(x^2+\frac{2 \log (x)}{x}-e+4\right)",1,"3*x^2 + (6*Log[x])/x","A",1
9978,1,19,20,0.2014951,"\int \frac{80+16 x^2+e^{2 x} x^4+e^x \left(40 x+22 x^2+10 x^3\right)}{16 x^2+8 e^x x^3+e^{2 x} x^4} \, dx","Integrate[(80 + 16*x^2 + E^(2*x)*x^4 + E^x*(40*x + 22*x^2 + 10*x^3))/(16*x^2 + 8*E^x*x^3 + E^(2*x)*x^4),x]","x-\frac{2 (x+10)}{x \left(e^x x+4\right)}","\frac{-\frac{20}{x}-2}{e^x x+4}+x+1",1,"x - (2*(10 + x))/(x*(4 + E^x*x))","A",1
9979,1,23,29,0.017963,"\int \frac{5+20 x+19 x^2+6 x^3+e \left(-1-4 x-2 x^2\right)}{-5 x-8 x^2-3 x^3+e \left(x+x^2\right)} \, dx","Integrate[(5 + 20*x + 19*x^2 + 6*x^3 + E*(-1 - 4*x - 2*x^2))/(-5*x - 8*x^2 - 3*x^3 + E*(x + x^2)),x]","-2 x-\log (x)-\log (x+1)+\log (3 x-e+5)","-2 \left(x+e^2+3\right)+\log \left(\frac{5-\frac{2 x+e}{x+1}}{x}\right)+4",1,"-2*x - Log[x] - Log[1 + x] + Log[5 - E + 3*x]","A",1
9980,1,20,24,0.1636799,"\int \frac{-4 x \log (x)+\left(e^2+x\right) \log \left(\frac{3}{e^4+2 e^2 x+x^2}\right)}{\left(e^2 x+x^2\right) \log (x) \log \left(\frac{3}{e^4+2 e^2 x+x^2}\right) \log \left(\frac{1}{5} \log (x) \log ^2\left(\frac{3}{e^4+2 e^2 x+x^2}\right)\right)} \, dx","Integrate[(-4*x*Log[x] + (E^2 + x)*Log[3/(E^4 + 2*E^2*x + x^2)])/((E^2*x + x^2)*Log[x]*Log[3/(E^4 + 2*E^2*x + x^2)]*Log[(Log[x]*Log[3/(E^4 + 2*E^2*x + x^2)]^2)/5]),x]","\log \left(\log \left(\frac{1}{5} \log (x) \log ^2\left(\frac{3}{\left(x+e^2\right)^2}\right)\right)\right)","\log \left(2 \log \left(\frac{1}{5} \log (x) \log ^2\left(\frac{3}{\left(x+e^2\right)^2}\right)\right)\right)+3",1,"Log[Log[(Log[x]*Log[3/(E^2 + x)^2]^2)/5]]","A",1
9981,1,25,32,0.3275699,"\int \frac{-400+24920 x+4996 x^2+250 x^3+\left(80-4992 x-500 x^2\right) \log (4)+(-4+250 x) \log ^2(4)+e^x \left(-10+490 x+274 x^2+25 x^3+\left(1-49 x-25 x^2\right) \log (4)\right)}{100+20 x+x^2+(-20-2 x) \log (4)+\log ^2(4)} \, dx","Integrate[(-400 + 24920*x + 4996*x^2 + 250*x^3 + (80 - 4992*x - 500*x^2)*Log[4] + (-4 + 250*x)*Log[4]^2 + E^x*(-10 + 490*x + 274*x^2 + 25*x^3 + (1 - 49*x - 25*x^2)*Log[4]))/(100 + 20*x + x^2 + (-20 - 2*x)*Log[4] + Log[4]^2),x]","x \left(125 x+\frac{e^x (25 x-1)}{x+10-\log (4)}-4\right)","x \left(\frac{\left(25 x^2-x\right) \left(\frac{e^x}{x+10-\log (4)}+5\right)}{x}+1\right)",1,"x*(-4 + 125*x + (E^x*(-1 + 25*x))/(10 + x - Log[4]))","A",1
9982,1,104,36,0.4971746,"\int \frac{-31500 x-11520 x^2-900 x^3+\left(10800 x+1800 x^2\right) \log (3)-900 x \log ^2(3)+e^x \left(11250 x-1350 x^3-180 x^4+\left(-4500 x+900 x^2+360 x^3\right) \log (3)+\left(450 x-180 x^2\right) \log ^2(3)\right)+\left(11250 x+4500 x^2+450 x^3+\left(-4500 x-900 x^2\right) \log (3)+450 x \log ^2(3)\right) \log (5)+\left(12600 x+4464 x^2+360 x^3+\left(-4320 x-720 x^2\right) \log (3)+360 x \log ^2(3)+e^x \left(-4500 x-900 x^2+180 x^3+36 x^4+\left(1800 x-72 x^3\right) \log (3)+\left(-180 x+36 x^2\right) \log ^2(3)\right)+\left(-4500 x-1800 x^2-180 x^3+\left(1800 x+360 x^2\right) \log (3)-180 x \log ^2(3)\right) \log (5)\right) \log \left(\frac{196+56 x+4 x^2+(-56-8 x) \log (3)+4 \log ^2(3)+e^{2 x} \left(25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)\right)+\left(-140-48 x-4 x^2+(48+8 x) \log (3)-4 \log ^2(3)\right) \log (5)+\left(25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)\right) \log ^2(5)+e^x \left(-140-48 x-4 x^2+(48+8 x) \log (3)-4 \log ^2(3)+\left(50+20 x+2 x^2+(-20-4 x) \log (3)+2 \log ^2(3)\right) \log (5)\right)}{25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)}\right)+\left(-1260 x-432 x^2-36 x^3+\left(432 x+72 x^2\right) \log (3)-36 x \log ^2(3)+e^x \left(450 x+180 x^2+18 x^3+\left(-180 x-36 x^2\right) \log (3)+18 x \log ^2(3)\right)+\left(450 x+180 x^2+18 x^3+\left(-180 x-36 x^2\right) \log (3)+18 x \log ^2(3)\right) \log (5)\right) \log ^2\left(\frac{196+56 x+4 x^2+(-56-8 x) \log (3)+4 \log ^2(3)+e^{2 x} \left(25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)\right)+\left(-140-48 x-4 x^2+(48+8 x) \log (3)-4 \log ^2(3)\right) \log (5)+\left(25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)\right) \log ^2(5)+e^x \left(-140-48 x-4 x^2+(48+8 x) \log (3)-4 \log ^2(3)+\left(50+20 x+2 x^2+(-20-4 x) \log (3)+2 \log ^2(3)\right) \log (5)\right)}{25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)}\right)}{-70-24 x-2 x^2+(24+4 x) \log (3)-2 \log ^2(3)+e^x \left(25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)\right)+\left(25+10 x+x^2+(-10-2 x) \log (3)+\log ^2(3)\right) \log (5)} \, dx","Integrate[(-31500*x - 11520*x^2 - 900*x^3 + (10800*x + 1800*x^2)*Log[3] - 900*x*Log[3]^2 + E^x*(11250*x - 1350*x^3 - 180*x^4 + (-4500*x + 900*x^2 + 360*x^3)*Log[3] + (450*x - 180*x^2)*Log[3]^2) + (11250*x + 4500*x^2 + 450*x^3 + (-4500*x - 900*x^2)*Log[3] + 450*x*Log[3]^2)*Log[5] + (12600*x + 4464*x^2 + 360*x^3 + (-4320*x - 720*x^2)*Log[3] + 360*x*Log[3]^2 + E^x*(-4500*x - 900*x^2 + 180*x^3 + 36*x^4 + (1800*x - 72*x^3)*Log[3] + (-180*x + 36*x^2)*Log[3]^2) + (-4500*x - 1800*x^2 - 180*x^3 + (1800*x + 360*x^2)*Log[3] - 180*x*Log[3]^2)*Log[5])*Log[(196 + 56*x + 4*x^2 + (-56 - 8*x)*Log[3] + 4*Log[3]^2 + E^(2*x)*(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2) + (-140 - 48*x - 4*x^2 + (48 + 8*x)*Log[3] - 4*Log[3]^2)*Log[5] + (25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2)*Log[5]^2 + E^x*(-140 - 48*x - 4*x^2 + (48 + 8*x)*Log[3] - 4*Log[3]^2 + (50 + 20*x + 2*x^2 + (-20 - 4*x)*Log[3] + 2*Log[3]^2)*Log[5]))/(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2)] + (-1260*x - 432*x^2 - 36*x^3 + (432*x + 72*x^2)*Log[3] - 36*x*Log[3]^2 + E^x*(450*x + 180*x^2 + 18*x^3 + (-180*x - 36*x^2)*Log[3] + 18*x*Log[3]^2) + (450*x + 180*x^2 + 18*x^3 + (-180*x - 36*x^2)*Log[3] + 18*x*Log[3]^2)*Log[5])*Log[(196 + 56*x + 4*x^2 + (-56 - 8*x)*Log[3] + 4*Log[3]^2 + E^(2*x)*(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2) + (-140 - 48*x - 4*x^2 + (48 + 8*x)*Log[3] - 4*Log[3]^2)*Log[5] + (25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2)*Log[5]^2 + E^x*(-140 - 48*x - 4*x^2 + (48 + 8*x)*Log[3] - 4*Log[3]^2 + (50 + 20*x + 2*x^2 + (-20 - 4*x)*Log[3] + 2*Log[3]^2)*Log[5]))/(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2)]^2)/(-70 - 24*x - 2*x^2 + (24 + 4*x)*Log[3] - 2*Log[3]^2 + E^x*(25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2) + (25 + 10*x + x^2 + (-10 - 2*x)*Log[3] + Log[3]^2)*Log[5]),x]","18 \left(\frac{25 x^2}{2}+\frac{1}{2} x^2 \log ^2\left(\frac{\left(x (\log (5)-2)+e^x (x+5-\log (3))-14+\log (28125)-\log (3) \log (5)\right)^2}{(x+5-\log (3))^2}\right)-5 x^2 \log \left(\frac{\left(x (\log (5)-2)+e^x (x+5-\log (3))-14+\log (28125)-\log (3) \log (5)\right)^2}{(x+5-\log (3))^2}\right)\right)","9 x^2 \left(5-\log \left(\left(-e^x-\frac{4}{-x-5+\log (3)}+2-\log (5)\right)^2\right)\right)^2",1,"18*((25*x^2)/2 - 5*x^2*Log[(-14 + E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - Log[3]*Log[5] + Log[28125])^2/(5 + x - Log[3])^2] + (x^2*Log[(-14 + E^x*(5 + x - Log[3]) + x*(-2 + Log[5]) - Log[3]*Log[5] + Log[28125])^2/(5 + x - Log[3])^2]^2)/2)","B",1
9983,1,20,22,0.0252975,"\int \frac{-1+4 x+x^2-x \log (x)}{-9 x^3-3 x^4+3 x^3 \log (x)+\left(-18 x^2-6 x^3+6 x^2 \log (x)\right) \log \left(\frac{1}{5} (3+x-\log (x))\right)+\left(-9 x-3 x^2+3 x \log (x)\right) \log ^2\left(\frac{1}{5} (3+x-\log (x))\right)} \, dx","Integrate[(-1 + 4*x + x^2 - x*Log[x])/(-9*x^3 - 3*x^4 + 3*x^3*Log[x] + (-18*x^2 - 6*x^3 + 6*x^2*Log[x])*Log[(3 + x - Log[x])/5] + (-9*x - 3*x^2 + 3*x*Log[x])*Log[(3 + x - Log[x])/5]^2),x]","\frac{1}{3 \left(x+\log \left(\frac{1}{5} (x-\log (x)+3)\right)\right)}","\frac{1}{3 \left(x+\log \left(\frac{1}{5} (x-\log (x)+3)\right)\right)}+25",1,"1/(3*(x + Log[(3 + x - Log[x])/5]))","A",1
9984,1,101,18,0.0155341,"\int \left(18+2 x+e^3 \left(-18-42 x-6 x^2\right)+e^6 \left(4 x+10 x^2+4 x^3\right)+\left(e^3 (18+4 x)+e^6 \left(-6 x-6 x^2\right)\right) \log (x)+2 e^6 x \log ^2(x)\right) \, dx","Integrate[18 + 2*x + E^3*(-18 - 42*x - 6*x^2) + E^6*(4*x + 10*x^2 + 4*x^3) + (E^3*(18 + 4*x) + E^6*(-6*x - 6*x^2))*Log[x] + 2*E^6*x*Log[x]^2,x]","e^6 x^4+4 e^6 x^3-2 e^3 x^3-2 e^6 x^3 \log (x)+4 e^6 x^2-22 e^3 x^2+x^2+e^6 x^2 \log ^2(x)-4 e^6 x^2 \log (x)+2 e^3 x^2 \log (x)-36 e^3 x+18 x+18 e^3 x \log (x)","\left(x-e^3 x (x-\log (x)+2)+9\right)^2",1,"18*x - 36*E^3*x + x^2 - 22*E^3*x^2 + 4*E^6*x^2 - 2*E^3*x^3 + 4*E^6*x^3 + E^6*x^4 + 18*E^3*x*Log[x] + 2*E^3*x^2*Log[x] - 4*E^6*x^2*Log[x] - 2*E^6*x^3*Log[x] + E^6*x^2*Log[x]^2","B",1
9985,1,18,17,0.0111008,"\int \left(98-196 x+e^{4 x^2} \left(98+784 x^2\right)\right) \, dx","Integrate[98 - 196*x + E^(4*x^2)*(98 + 784*x^2),x]","98 \left(-x^2+e^{4 x^2} x+x\right)","98 \left(\left(e^{4 x^2}-x\right) x+x\right)",1,"98*(x + E^(4*x^2)*x - x^2)","A",1
9986,1,24,26,0.0192413,"\int -\frac{2 \exp \left(\frac{2 x}{e^{10} (25+5 x)+e^5 (-50-10 x) \log (4)+(25+5 x) \log ^2(4)}\right)}{e^{10} \left(25+10 x+x^2\right)+e^5 \left(-50-20 x-2 x^2\right) \log (4)+\left(25+10 x+x^2\right) \log ^2(4)} \, dx","Integrate[(-2*E^((2*x)/(E^10*(25 + 5*x) + E^5*(-50 - 10*x)*Log[4] + (25 + 5*x)*Log[4]^2)))/(E^10*(25 + 10*x + x^2) + E^5*(-50 - 20*x - 2*x^2)*Log[4] + (25 + 10*x + x^2)*Log[4]^2),x]","-e^{\frac{2 x}{5 (x+5) \left(e^5-\log (4)\right)^2}}","5-e^{\frac{2 x}{5 (x+5) \left(e^5-\log (4)\right)^2}}",1,"-E^((2*x)/(5*(5 + x)*(E^5 - Log[4])^2))","A",1
9987,1,32,28,0.0677514,"\int \frac{-8 x^4-2 x^5+\left(x+x^2\right) \log (1+x)+\left(-2-3 x-x^2\right) \log ^2(1+x)}{2 x^5} \, dx","Integrate[(-8*x^4 - 2*x^5 + (x + x^2)*Log[1 + x] + (-2 - 3*x - x^2)*Log[1 + x]^2)/(2*x^5),x]","\frac{-4 x^5-16 x^4 \log (x)+(x+1)^2 \log ^2(x+1)}{4 x^4}","\frac{(x+1)^2 \log ^2(x+1)}{4 x^4}+\log \left(\frac{4}{x^4}\right)-x",1,"(-4*x^5 - 16*x^4*Log[x] + (1 + x)^2*Log[1 + x]^2)/(4*x^4)","A",1
9988,0,0,28,3.2558438,"\int \exp \left(-x-3 x^3+3 x \log (x)+2 x \log (3 x)-x \log ^2(3 x)\right) \left(4-9 x^2+3 \log (x)-\log ^2(3 x)\right) \, dx","Integrate[E^(-x - 3*x^3 + 3*x*Log[x] + 2*x*Log[3*x] - x*Log[3*x]^2)*(4 - 9*x^2 + 3*Log[x] - Log[3*x]^2),x]","\int \exp \left(-x-3 x^3+3 x \log (x)+2 x \log (3 x)-x \log ^2(3 x)\right) \left(4-9 x^2+3 \log (x)-\log ^2(3 x)\right) \, dx","\exp \left(x \left(3 x \left(\frac{\log (x)}{x}-x\right)-(\log (3 x)-1)^2\right)\right)",1,"Integrate[E^(-x - 3*x^3 + 3*x*Log[x] + 2*x*Log[3*x] - x*Log[3*x]^2)*(4 - 9*x^2 + 3*Log[x] - Log[3*x]^2), x]","F",-1
9989,1,37,31,0.2959115,"\int \frac{e^{-x} \left(2048 x-128 x^2+\left(1920 x^2-128 x^3\right) \log (x)+\left(8192+7168 x-256 x^2-288 x^3+33 x^4-x^5\right) \log ^2(x)\right)}{\left(256 x^2-32 x^3+x^4\right) \log ^2(x)} \, dx","Integrate[(2048*x - 128*x^2 + (1920*x^2 - 128*x^3)*Log[x] + (8192 + 7168*x - 256*x^2 - 288*x^3 + 33*x^4 - x^5)*Log[x]^2)/(E^x*(256*x^2 - 32*x^3 + x^4)*Log[x]^2),x]","e^{-x} \left(x+\frac{32}{x-16}-\frac{32}{x}\right)+\frac{128 e^{-x}}{(x-16) \log (x)}","e^{-x} \left(\frac{8 \left(\frac{x}{\log (x)}+4\right)}{\frac{x^2}{16}-x}+x\right)",1,"(32/(-16 + x) - 32/x + x)/E^x + 128/(E^x*(-16 + x)*Log[x])","A",1
9990,1,26,28,0.004019,"\int \frac{\frac{48}{e}+12 e^3 x+9 x^5}{4 x^3} \, dx","Integrate[(48/E + 12*E^3*x + 9*x^5)/(4*x^3),x]","\frac{3 \left(e x^3-\frac{8}{x^2}-\frac{4 e^4}{x}\right)}{4 e}","3 \left(\frac{\frac{x^5}{4}-\frac{2}{e}}{x^2}-\frac{e^3}{x}\right)",1,"(3*(-8/x^2 - (4*E^4)/x + E*x^3))/(4*E)","A",1
9991,1,33,27,0.1495355,"\int \frac{\exp \left(\frac{-1+25 x+16 x^3+10 e^x x^3+100 x^4}{10 x^3+5 e^x x^3}\right) \left(6-100 x+200 x^4+e^x \left(3-49 x-25 x^2+104 x^4-100 x^5\right)\right)}{20 x^4+20 e^x x^4+5 e^{2 x} x^4} \, dx","Integrate[(E^((-1 + 25*x + 16*x^3 + 10*E^x*x^3 + 100*x^4)/(10*x^3 + 5*E^x*x^3))*(6 - 100*x + 200*x^4 + E^x*(3 - 49*x - 25*x^2 + 104*x^4 - 100*x^5)))/(20*x^4 + 20*E^x*x^4 + 5*E^(2*x)*x^4),x]","e^{\frac{100 x^4-4 x^3+25 x-1}{5 \left(e^x+2\right) x^3}+2}","e^{\frac{\left(\frac{1}{x^3}+4\right) \left(5-\frac{1}{5 x}\right) x}{e^x+2}+2}",1,"E^(2 + (-1 + 25*x - 4*x^3 + 100*x^4)/(5*(2 + E^x)*x^3))","A",1
9992,1,5,10,0.0001737,"\int 3 e^x \, dx","Integrate[3*E^x,x]","3 e^x","3 e^x+8+e^3",1,"3*E^x","A",1
9993,1,28,14,0.0000623,"\int \frac{-2+25 i \pi }{-1+25 i \pi } \, dx","Integrate[(-2 + (25*I)*Pi)/(-1 + (25*I)*Pi),x]","\frac{25 i \pi  x}{-1+25 i \pi }-\frac{2 x}{-1+25 i \pi }","\frac{x}{1-25 i \pi }+x-7",1,"(-2*x)/(-1 + (25*I)*Pi) + ((25*I)*Pi*x)/(-1 + (25*I)*Pi)","A",1
9994,1,13,11,0.0000871,"\int (-20-e-10 x) \, dx","Integrate[-20 - E - 10*x,x]","-5 x^2-e x-20 x","(-x-4) (5 x+e)",1,"-20*x - E*x - 5*x^2","A",1
9995,1,11,12,0.0021041,"\int \left(3 e^x-8 x^7\right) \, dx","Integrate[3*E^x - 8*x^7,x]","3 e^x-x^8","-x^8+3 e^x+4",1,"3*E^x - x^8","A",1
9996,1,17,24,0.0013782,"\int \frac{1}{25} \left(25-15 e x^2-24 x^3\right) \, dx","Integrate[(25 - 15*E*x^2 - 24*x^3)/25,x]","-\frac{6 x^4}{25}-\frac{e x^3}{5}+x","x^2-\left(\frac{1}{5} \left(\frac{6 x}{5}+e\right) x^2+x\right) x+x",1,"x - (E*x^3)/5 - (6*x^4)/25","A",1
9997,1,24,22,0.097261,"\int \frac{-6-12 e^{2 x}+x+e^{e^2+x} \left(-5+12 e^{2 x}+x\right)}{-5+12 e^{2 x}+x} \, dx","Integrate[(-6 - 12*E^(2*x) + x + E^(E^2 + x)*(-5 + 12*E^(2*x) + x))/(-5 + 12*E^(2*x) + x),x]","x+e^{x+e^2}-\log \left(-x-12 e^{2 x}+5\right)","x+e^{x+e^2}-\log \left(x+12 e^{2 x}-5\right)",1,"E^(E^2 + x) + x - Log[5 - 12*E^(2*x) - x]","A",1
9998,1,28,27,0.1227253,"\int \frac{e^x \left(-16+32 x-18 x^2\right)+e^x \left(32 x-32 x^2\right) \log \left(\frac{x}{5}\right)+\left(e^x x^3+e^x \left(16 x-32 x^2+16 x^3\right) \log \left(\frac{x}{5}\right)\right) \log \left(\frac{1}{16} \left(x^2+\left(16-32 x+16 x^2\right) \log \left(\frac{x}{5}\right)\right)\right)}{\left(x^3+\left(16 x-32 x^2+16 x^3\right) \log \left(\frac{x}{5}\right)\right) \log ^2\left(\frac{1}{16} \left(x^2+\left(16-32 x+16 x^2\right) \log \left(\frac{x}{5}\right)\right)\right)} \, dx","Integrate[(E^x*(-16 + 32*x - 18*x^2) + E^x*(32*x - 32*x^2)*Log[x/5] + (E^x*x^3 + E^x*(16*x - 32*x^2 + 16*x^3)*Log[x/5])*Log[(x^2 + (16 - 32*x + 16*x^2)*Log[x/5])/16])/((x^3 + (16*x - 32*x^2 + 16*x^3)*Log[x/5])*Log[(x^2 + (16 - 32*x + 16*x^2)*Log[x/5])/16]^2),x]","\frac{e^x}{\log \left(\frac{1}{16} \left(x^2+16 (x-1)^2 \log \left(\frac{x}{5}\right)\right)\right)}","\frac{e^x}{\log \left(\frac{x^2}{16}+(x-1)^2 \log \left(\frac{x}{5}\right)\right)}",1,"E^x/Log[(x^2 + 16*(-1 + x)^2*Log[x/5])/16]","A",1
9999,1,41,19,0.2149855,"\int \frac{-5+\left(8 e x-8 x^2\right) \log (x)+\left(8 e x-12 x^2\right) \log ^2(x)}{-5 x+\left(4 e x^2-4 x^3\right) \log ^2(x)} \, dx","Integrate[(-5 + (8*E*x - 8*x^2)*Log[x] + (8*E*x - 12*x^2)*Log[x]^2)/(-5*x + (4*E*x^2 - 4*x^3)*Log[x]^2),x]","\log \left(4 x^2 \log ^2(x)-4 e x \log ^2(x)+5\right)+\log (e-x)+2 \log (x)-\log ((e-x) x)","\log \left(\frac{4}{5} x^2 (x-e) \log ^2(x)+x\right)",1,"Log[E - x] + 2*Log[x] - Log[(E - x)*x] + Log[5 - 4*E*x*Log[x]^2 + 4*x^2*Log[x]^2]","B",1
10000,1,33,27,0.1616634,"\int \frac{\exp \left(\frac{16 \log ^4(2)+24 \log ^2(2) \log ^2(x)+9 \log ^4(x)}{\log ^4(x)}\right) \left(-320 x \log ^4(2)-240 x \log ^2(2) \log ^2(x)+5 x \log ^5(x)+\left(-64 \log ^4(2)-48 \log ^2(2) \log ^2(x)\right) \log (\log (5))\right)}{2 x \log ^5(x)} \, dx","Integrate[(E^((16*Log[2]^4 + 24*Log[2]^2*Log[x]^2 + 9*Log[x]^4)/Log[x]^4)*(-320*x*Log[2]^4 - 240*x*Log[2]^2*Log[x]^2 + 5*x*Log[x]^5 + (-64*Log[2]^4 - 48*Log[2]^2*Log[x]^2)*Log[Log[5]]))/(2*x*Log[x]^5),x]","\frac{1}{2} e^{\frac{\left(3 \log ^2(x)+4 \log ^2(2)\right)^2}{\log ^4(x)}} (5 x+\log (\log (5)))","\frac{1}{2} e^{\left(\frac{4 \log ^2(2)}{\log ^2(x)}+3\right)^2} (5 x+\log (\log (5)))",1,"(E^((4*Log[2]^2 + 3*Log[x]^2)^2/Log[x]^4)*(5*x + Log[Log[5]]))/2","A",1
10001,1,28,28,2.6209708,"\int \frac{e^{\frac{e^{e^{x^2}-x-4 x^4}-x^4}{x}} \left(-3 x^4+e^{e^{x^2}-x-4 x^4} \left(-1-x+2 e^{x^2} x^2-16 x^4\right)\right)}{x^2} \, dx","Integrate[(E^((E^(E^x^2 - x - 4*x^4) - x^4)/x)*(-3*x^4 + E^(E^x^2 - x - 4*x^4)*(-1 - x + 2*E^x^2*x^2 - 16*x^4)))/x^2,x]","e^{\frac{e^{-4 x^4+e^{x^2}-x}}{x}-x^3}","e^{\frac{e^{-4 x^4+e^{x^2}-x}-x^4}{x}}",1,"E^(E^(E^x^2 - x - 4*x^4)/x - x^3)","A",1
10002,1,48,21,0.071706,"\int \frac{-92-570 x-356 x^2+24 x^3+32 x^4+2 x^5+\left(8+52 x+44 x^2-4 x^3-4 x^4\right) \log (x)}{x+3 x^2+3 x^3+x^4} \, dx","Integrate[(-92 - 570*x - 356*x^2 + 24*x^3 + 32*x^4 + 2*x^5 + (8 + 52*x + 44*x^2 - 4*x^3 - 4*x^4)*Log[x])/(x + 3*x^2 + 3*x^3 + x^4),x]","2 \left(\frac{x^2}{2}-\frac{2 \left(x^2+16 x+23\right) \log (x)}{x+1}+15 x+\frac{16 (7 x+9)}{(x+1)^2}+2 \log ^2(x)\right)","\left(-\frac{8 x}{x^2+x}-x+2 \log (x)-15\right)^2",1,"2*(15*x + x^2/2 + (16*(9 + 7*x))/(1 + x)^2 - (2*(23 + 16*x + x^2)*Log[x])/(1 + x) + 2*Log[x]^2)","B",1
10003,1,56,28,0.0618189,"\int \frac{-10 3^{2/5}+6 \sqrt[5]{3} e^{x/5} x^3+1960 x^4+e^{x/5} \left(-840 x^4-84 x^5\right)+e^{2 x/5} \left(90 x^4+18 x^5\right)}{5 x^3} \, dx","Integrate[(-10*3^(2/5) + 6*3^(1/5)*E^(x/5)*x^3 + 1960*x^4 + E^(x/5)*(-840*x^4 - 84*x^5) + E^((2*x)/5)*(90*x^4 + 18*x^5))/(5*x^3),x]","\frac{2}{5} \left(\frac{45}{2} e^{2 x/5} x^2+490 x^2+15 e^{x/5} \left(\sqrt[5]{3}-14 x^2\right)+\frac{5\ 3^{2/5}}{2 x^2}\right)","\left(\frac{\sqrt[5]{3}}{x^2}+3 \left(e^{x/5}-3\right)-5\right)^2 x^2",1,"(2*((5*3^(2/5))/(2*x^2) + 490*x^2 + (45*E^((2*x)/5)*x^2)/2 + 15*E^(x/5)*(3^(1/5) - 14*x^2)))/5","A",1
10004,1,23,23,0.0094826,"\int \frac{486 x+\log (2) \left(-238-\log \left(\frac{5}{2}\right)\right)}{81 \log (2)} \, dx","Integrate[(486*x + Log[2]*(-238 - Log[5/2]))/(81*Log[2]),x]","\frac{3 x^2}{\log (2)}+\frac{1}{81} x \left(-238-\log \left(\frac{5}{2}\right)\right)","x \left(\frac{3 x}{\log (2)}-3+\frac{1}{81} \left(5-\log \left(\frac{5}{2}\right)\right)\right)",1,"(3*x^2)/Log[2] + (x*(-238 - Log[5/2]))/81","A",1
10005,0,0,25,0.3462613,"\int \frac{(90-45 x) \log (2-x)+\left(12800 x^5+1600 x^6+50 x^7\right) \log (\log (2-x))+\left(-64000 x^4+22400 x^5+4450 x^6+175 x^7\right) \log (2-x) \log ^2(\log (2-x))}{(-18+9 x) \log (2-x)} \, dx","Integrate[((90 - 45*x)*Log[2 - x] + (12800*x^5 + 1600*x^6 + 50*x^7)*Log[Log[2 - x]] + (-64000*x^4 + 22400*x^5 + 4450*x^6 + 175*x^7)*Log[2 - x]*Log[Log[2 - x]]^2)/((-18 + 9*x)*Log[2 - x]),x]","\int \frac{(90-45 x) \log (2-x)+\left(12800 x^5+1600 x^6+50 x^7\right) \log (\log (2-x))+\left(-64000 x^4+22400 x^5+4450 x^6+175 x^7\right) \log (2-x) \log ^2(\log (2-x))}{(-18+9 x) \log (2-x)} \, dx","x \left(\frac{25}{9} x^4 (x+16)^2 \log ^2(\log (2-x))-5\right)",1,"Integrate[((90 - 45*x)*Log[2 - x] + (12800*x^5 + 1600*x^6 + 50*x^7)*Log[Log[2 - x]] + (-64000*x^4 + 22400*x^5 + 4450*x^6 + 175*x^7)*Log[2 - x]*Log[Log[2 - x]]^2)/((-18 + 9*x)*Log[2 - x]), x]","F",-1
10006,1,37,31,0.1810131,"\int \frac{10 e^{-2-6 x+x^2}+e^{-4-12 x+2 x^2} \left(-59 x+20 x^2\right)+\left(-10+e^{-2-6 x+x^2} \left(58 x-20 x^2\right)\right) \log \left(\frac{3}{x}\right)+x \log ^2\left(\frac{3}{x}\right)+\left(2 e^{-2-6 x+x^2} x+e^{-4-12 x+2 x^2} \left(x-12 x^2+4 x^3\right)+\left(-2 x+e^{-2-6 x+x^2} \left(-2 x+12 x^2-4 x^3\right)\right) \log \left(\frac{3}{x}\right)+x \log ^2\left(\frac{3}{x}\right)\right) \log (x)}{x} \, dx","Integrate[(10*E^(-2 - 6*x + x^2) + E^(-4 - 12*x + 2*x^2)*(-59*x + 20*x^2) + (-10 + E^(-2 - 6*x + x^2)*(58*x - 20*x^2))*Log[3/x] + x*Log[3/x]^2 + (2*E^(-2 - 6*x + x^2)*x + E^(-4 - 12*x + 2*x^2)*(x - 12*x^2 + 4*x^3) + (-2*x + E^(-2 - 6*x + x^2)*(-2*x + 12*x^2 - 4*x^3))*Log[3/x] + x*Log[3/x]^2)*Log[x])/x,x]","e^{-12 x-4} \left(e^{x^2}-e^{6 x+2} \log \left(\frac{3}{x}\right)\right)^2 (x \log (x)+5)","x \left(e^{x^2-6 x-2}-\log \left(\frac{3}{x}\right)\right)^2 \left(\frac{5}{x}+\log (x)\right)",1,"E^(-4 - 12*x)*(E^x^2 - E^(2 + 6*x)*Log[3/x])^2*(5 + x*Log[x])","A",1
10007,1,10,10,0.0050396,"\int \frac{2+4 \log (x)}{x \log (x)} \, dx","Integrate[(2 + 4*Log[x])/(x*Log[x]),x]","4 \log (x)+2 \log (\log (x))","\log \left(16 x^4 \log ^2(x)\right)",1,"4*Log[x] + 2*Log[Log[x]]","A",1
10008,1,12,13,0.0011491,"\int \frac{-1-80 x^8}{10 x} \, dx","Integrate[(-1 - 80*x^8)/(10*x),x]","-x^8-\frac{\log (x)}{10}","-x^8-\frac{\log (x)}{10}+1",1,"-x^8 - Log[x]/10","A",1
10009,1,19,19,0.0069057,"\int \frac{1}{2} e^{-6-x} \left(10-e-2 x+x^2\right) \, dx","Integrate[(E^(-6 - x)*(10 - E - 2*x + x^2))/2,x]","\frac{1}{2} e^{-x-6} \left(-x^2+e-10\right)","\frac{1}{2} e^{-x-6} \left(-x^2+e-10\right)",1,"(E^(-6 - x)*(-10 + E - x^2))/2","A",1
10010,1,43,27,0.0619994,"\int \frac{18 x+\left(-2160+876 x-90 x^2\right) \log \left(\frac{24-5 x}{-5+x}\right)+\left(1440-588 x+60 x^2\right) \log ^2\left(\frac{24-5 x}{-5+x}\right)+\left(-240+98 x-10 x^2+120 x^3-49 x^4+5 x^5\right) \log ^3\left(\frac{24-5 x}{-5+x}\right)}{\left(120 x^3-49 x^4+5 x^5\right) \log ^3\left(\frac{24-5 x}{-5+x}\right)} \, dx","Integrate[(18*x + (-2160 + 876*x - 90*x^2)*Log[(24 - 5*x)/(-5 + x)] + (1440 - 588*x + 60*x^2)*Log[(24 - 5*x)/(-5 + x)]^2 + (-240 + 98*x - 10*x^2 + 120*x^3 - 49*x^4 + 5*x^5)*Log[(24 - 5*x)/(-5 + x)]^3)/((120*x^3 - 49*x^4 + 5*x^5)*Log[(24 - 5*x)/(-5 + x)]^3),x]","\frac{1}{x^2}+\frac{9}{x^2 \log ^2\left(\frac{24-5 x}{x-5}\right)}-\frac{6}{x^2 \log \left(\frac{24-5 x}{x-5}\right)}+x","\frac{\left(1-\frac{3}{\log \left(\frac{1}{5-x}-5\right)}\right)^2}{x^2}+x+\frac{19}{4}",1,"x^(-2) + x + 9/(x^2*Log[(24 - 5*x)/(-5 + x)]^2) - 6/(x^2*Log[(24 - 5*x)/(-5 + x)])","A",1
10011,1,27,27,0.0985713,"\int \frac{e^x x-x^2+\left(e^x (-3+x)+3 x-x^2\right) \log (x)+\left(x^2-e^x x^2\right) \log (x) \log \left(-10 e^{3/x} x \log (x)\right) \log \left(\log \left(-10 e^{3/x} x \log (x)\right)\right)}{\left(3 e^{2 x} x^2-6 e^x x^3+3 x^4\right) \log (x) \log \left(-10 e^{3/x} x \log (x)\right)} \, dx","Integrate[(E^x*x - x^2 + (E^x*(-3 + x) + 3*x - x^2)*Log[x] + (x^2 - E^x*x^2)*Log[x]*Log[-10*E^(3/x)*x*Log[x]]*Log[Log[-10*E^(3/x)*x*Log[x]]])/((3*E^(2*x)*x^2 - 6*E^x*x^3 + 3*x^4)*Log[x]*Log[-10*E^(3/x)*x*Log[x]]),x]","\frac{\log \left(\log \left(-10 e^{3/x} x \log (x)\right)\right)}{3 \left(e^x-x\right)}","\frac{\log \left(\log \left(-10 e^{3/x} x \log (x)\right)\right)}{3 \left(e^x-x\right)}",1,"Log[Log[-10*E^(3/x)*x*Log[x]]]/(3*(E^x - x))","A",1
10012,1,5,14,0.000266,"\int \frac{16}{x^2} \, dx","Integrate[16/x^2,x]","-\frac{16}{x}","\frac{\frac{8 x}{9 e^3}-16}{x}",1,"-16/x","A",1
10013,1,22,24,0.048726,"\int \frac{-5700-3020 x-400 x^2+(-76-40 x) \log (2 x)}{361 x^2+190 x^3+25 x^4} \, dx","Integrate[(-5700 - 3020*x - 400*x^2 + (-76 - 40*x)*Log[2*x])/(361*x^2 + 190*x^3 + 25*x^4),x]","\frac{4 (20 x+\log (2 x)+76)}{5 x^2+19 x}","\frac{16}{x}-\frac{4 \log (2 x)}{x (1-5 (x+4))}",1,"(4*(76 + 20*x + Log[2*x]))/(19*x + 5*x^2)","A",1
10014,1,42,34,0.1416954,"\int \frac{4-204 x+2697 x^2-2348 x^3-1974 x^4+1200 x^5+625 x^6+e^x \left(104-200 x-27 x^2+76 x^3-25 x^4\right)}{4-204 x+2697 x^2-2348 x^3-1974 x^4+1200 x^5+625 x^6} \, dx","Integrate[(4 - 204*x + 2697*x^2 - 2348*x^3 - 1974*x^4 + 1200*x^5 + 625*x^6 + E^x*(104 - 200*x - 27*x^2 + 76*x^3 - 25*x^4))/(4 - 204*x + 2697*x^2 - 2348*x^3 - 1974*x^4 + 1200*x^5 + 625*x^6),x]","x+\frac{1225 e^x}{1224 (1-25 x)}-\frac{e^x}{72 (1-x)}+\frac{4 e^x}{153 (x+2)}","\frac{e^x x}{\left(25 x^2-x\right) \left(\frac{x^2}{2-x}-1\right)}+x-1",1,"(1225*E^x)/(1224*(1 - 25*x)) - E^x/(72*(1 - x)) + x + (4*E^x)/(153*(2 + x))","A",1
10015,1,36,25,0.2162263,"\int \frac{-2 x^6+\left(-8 x^3+2 e^{-4+x} x^4+4 x^6\right) \log (x)+\left(8 x^3+e^{-4+x} \left(-4 x^4-2 x^5\right)\right) \log ^2(x)+\left(-32+2 e^{-8+2 x} x^3+e^{-4+x} \left(8 x-8 x^2\right)\right) \log ^3(x)}{x^3 \log ^3(x)} \, dx","Integrate[(-2*x^6 + (-8*x^3 + 2*E^(-4 + x)*x^4 + 4*x^6)*Log[x] + (8*x^3 + E^(-4 + x)*(-4*x^4 - 2*x^5))*Log[x]^2 + (-32 + 2*E^(-8 + 2*x)*x^3 + E^(-4 + x)*(8*x - 8*x^2))*Log[x]^3)/(x^3*Log[x]^3),x]","\frac{\left(e^4 x^3+\left(4 e^4-e^x x\right) \log (x)\right)^2}{e^8 x^2 \log ^2(x)}","\left(e^{x-4}-\frac{\frac{x^3}{\log (x)}+4}{x}\right)^2-1",1,"(E^4*x^3 + (4*E^4 - E^x*x)*Log[x])^2/(E^8*x^2*Log[x]^2)","A",1
10016,1,14,15,0.0025138,"\int \frac{2 e^4+6 x \log (9)}{e^4} \, dx","Integrate[(2*E^4 + 6*x*Log[9])/E^4,x]","\frac{3 x^2 \log (9)}{e^4}+2 x","\frac{3 x^2 \log (9)}{e^4}+2 x-5",1,"2*x + (3*x^2*Log[9])/E^4","A",1
10017,1,17,18,0.0061566,"\int \frac{e^4+2 x^2+20 e^{20 x} x^2}{x^2} \, dx","Integrate[(E^4 + 2*x^2 + 20*E^(20*x)*x^2)/x^2,x]","2 x+e^{20 x}-\frac{e^4}{x}","2 x+e^{20 x}-\frac{e^4}{x}-1",1,"E^(20*x) - E^4/x + 2*x","A",1
10018,1,38,26,0.3802806,"\int \frac{\left(2+\exp \left(15+6 x+x^2+(-6-2 x) \log \left(16 e^{-2 x}\right)+\log ^2\left(16 e^{-2 x}\right)\right) \left(36+12 x-12 \log \left(16 e^{-2 x}\right)\right)\right) \log \left(\exp \left(15+6 x+x^2+(-6-2 x) \log \left(16 e^{-2 x}\right)+\log ^2\left(16 e^{-2 x}\right)\right)+x\right)}{\exp \left(15+6 x+x^2+(-6-2 x) \log \left(16 e^{-2 x}\right)+\log ^2\left(16 e^{-2 x}\right)\right)+x} \, dx","Integrate[((2 + E^(15 + 6*x + x^2 + (-6 - 2*x)*Log[16/E^(2*x)] + Log[16/E^(2*x)]^2)*(36 + 12*x - 12*Log[16/E^(2*x)]))*Log[E^(15 + 6*x + x^2 + (-6 - 2*x)*Log[16/E^(2*x)] + Log[16/E^(2*x)]^2) + x])/(E^(15 + 6*x + x^2 + (-6 - 2*x)*Log[16/E^(2*x)] + Log[16/E^(2*x)]^2) + x),x]","\log ^2\left(\exp \left(x^2+6 x+\log ^2\left(16 e^{-2 x}\right)-2 (x+3) \log \left(16 e^{-2 x}\right)+15\right)+x\right)","\log ^2\left(x+e^{\left(x-\log \left(16 e^{-2 x}\right)+3\right)^2+6}\right)+5",1,"Log[E^(15 + 6*x + x^2 - 2*(3 + x)*Log[16/E^(2*x)] + Log[16/E^(2*x)]^2) + x]^2","A",1
10019,1,28,34,0.0661295,"\int \frac{-9+e^{2 x^2} (-4+16 e)-8 x-4 x^2+e^{x^2} \left(13+e (-72-32 x)+8 x-10 x^2\right)+e \left(81+72 x+16 x^2\right)}{81 x^2+16 e^{2 x^2} x^2+72 x^3+16 x^4+e^{x^2} \left(-72 x^2-32 x^3\right)} \, dx","Integrate[(-9 + E^(2*x^2)*(-4 + 16*E) - 8*x - 4*x^2 + E^x^2*(13 + E*(-72 - 32*x) + 8*x - 10*x^2) + E*(81 + 72*x + 16*x^2))/(81*x^2 + 16*E^(2*x^2)*x^2 + 72*x^3 + 16*x^4 + E^x^2*(-72*x^2 - 32*x^3)),x]","\frac{\frac{5}{4 e^{x^2}-4 x-9}-4 e+1}{4 x}","\frac{-\frac{x}{x-5 \left(\frac{x}{-e^{x^2}+x+1}+x\right)}+x-e}{x}",1,"(1 - 4*E + 5/(-9 + 4*E^x^2 - 4*x))/(4*x)","A",1
10020,1,14,20,0.1804732,"\int \frac{-5 x^2+2 x^3+\left(-4 x+2 x^2\right) \log (-2+x)}{-8 x^2+4 x^3+\left(-8 x+4 x^2\right) \log (-2+x)+(-2+x) \log ^2(-2+x)} \, dx","Integrate[(-5*x^2 + 2*x^3 + (-4*x + 2*x^2)*Log[-2 + x])/(-8*x^2 + 4*x^3 + (-8*x + 4*x^2)*Log[-2 + x] + (-2 + x)*Log[-2 + x]^2),x]","\frac{x^2}{2 x+\log (x-2)}","\frac{x^2}{2 x+\log (x-2)}+5+\log \left(\frac{9}{4}\right)",1,"x^2/(2*x + Log[-2 + x])","A",1
10021,1,18,19,0.1942102,"\int \frac{-64 x+32 e^{2 x} x+\left(-64 x+e^{2 x} \left(32 x+64 x^2\right)\right) \log (x)+\left(-128 x+64 e^{2 x} x\right) \log (x) \log \left(\left(2 x-e^{2 x} x\right) \log (x)\right)}{\left(-2+e^{2 x}\right) \log (x)} \, dx","Integrate[(-64*x + 32*E^(2*x)*x + (-64*x + E^(2*x)*(32*x + 64*x^2))*Log[x] + (-128*x + 64*E^(2*x)*x)*Log[x]*Log[(2*x - E^(2*x)*x)*Log[x]])/((-2 + E^(2*x))*Log[x]),x]","32 x^2 \log \left(-\left(\left(e^{2 x}-2\right) x \log (x)\right)\right)","32 x^2 \log \left(\left(2-e^{2 x}\right) x \log (x)\right)",1,"32*x^2*Log[-((-2 + E^(2*x))*x*Log[x])]","A",1
10022,1,18,18,0.3279796,"\int \frac{-16 x^4+8 x^4 \log (x)+\left(-8+2 x^4+\left(8-2 x^4\right) \log (x)\right) \log \left(-4+x^4\right)}{e \left(-4+x^4\right) \log ^2\left(-4+x^4\right)} \, dx","Integrate[(-16*x^4 + 8*x^4*Log[x] + (-8 + 2*x^4 + (8 - 2*x^4)*Log[x])*Log[-4 + x^4])/(E*(-4 + x^4)*Log[-4 + x^4]^2),x]","-\frac{2 x (\log (x)-2)}{e \log \left(x^4-4\right)}","-\frac{2 x (\log (x)-2)}{e \log \left(x^4-4\right)}",1,"(-2*x*(-2 + Log[x]))/(E*Log[-4 + x^4])","A",1
10023,1,29,25,0.3025292,"\int \frac{-2 x^3+e^{\frac{e^x}{x}} \left(3 x-3 x^2+e^x \left(3-4 x+x^2\right)\right)}{-9 x^3+3 x^4+e^{\frac{e^x}{x}} \left(-9 x^2+3 x^3\right)} \, dx","Integrate[(-2*x^3 + E^(E^x/x)*(3*x - 3*x^2 + E^x*(3 - 4*x + x^2)))/(-9*x^3 + 3*x^4 + E^(E^x/x)*(-9*x^2 + 3*x^3)),x]","\frac{1}{3} \left(-2 \log (3-x)-\log (x)+\log \left(x+e^{\frac{e^x}{x}}\right)\right)","-\frac{1}{3} \log \left(\frac{(x-3)^2 x}{x+e^{\frac{e^x}{x}}}\right)",1,"(-2*Log[3 - x] - Log[x] + Log[E^(E^x/x) + x])/3","A",1
10024,1,45,20,0.2687972,"\int \frac{e^{\frac{4+x+x^2}{x}} \left(32-4 x-7 x^2+x^3+\left(-8+2 x^2\right) \log (2)\right)}{2 x^2} \, dx","Integrate[(E^((4 + x + x^2)/x)*(32 - 4*x - 7*x^2 + x^3 + (-8 + 2*x^2)*Log[2]))/(2*x^2),x]","\frac{1}{2} \int \frac{e^{\frac{x^2+x+4}{x}} \left(x^3-7 x^2+\left(2 x^2-8\right) \log (2)-4 x+32\right)}{x^2} \, dx","e^{x+\frac{4}{x}+1} \left(\frac{x}{2}-4+\log (2)\right)",1,"Integrate[(E^((4 + x + x^2)/x)*(32 - 4*x - 7*x^2 + x^3 + (-8 + 2*x^2)*Log[2]))/x^2, x]/2","F",1
10025,1,27,27,0.0983241,"\int \frac{e^x x^2+e^5 \left(-1-x^2\right)+\left(e^x x+e^5 \left(1-4 x+e^3 x-x^2\right)\right) \log \left(\frac{-e^x x+e^5 \left(-1+4 x-e^3 x+x^2\right)}{x}\right) \log \left(\log \left(\frac{-e^x x+e^5 \left(-1+4 x-e^3 x+x^2\right)}{x}\right)\right)}{\left(e^x x+e^5 \left(1-4 x+e^3 x-x^2\right)\right) \log \left(\frac{-e^x x+e^5 \left(-1+4 x-e^3 x+x^2\right)}{x}\right)} \, dx","Integrate[(E^x*x^2 + E^5*(-1 - x^2) + (E^x*x + E^5*(1 - 4*x + E^3*x - x^2))*Log[(-(E^x*x) + E^5*(-1 + 4*x - E^3*x + x^2))/x]*Log[Log[(-(E^x*x) + E^5*(-1 + 4*x - E^3*x + x^2))/x]])/((E^x*x + E^5*(1 - 4*x + E^3*x - x^2))*Log[(-(E^x*x) + E^5*(-1 + 4*x - E^3*x + x^2))/x]),x]","x \log \left(\log \left(e^5 \left(x-\frac{1}{x}+4\right)-e^x-e^8\right)\right)","x \log \left(\log \left(e^5 \left(x-\frac{1}{x}-e^3+4\right)-e^x\right)\right)",1,"x*Log[Log[-E^8 - E^x + E^5*(4 - x^(-1) + x)]]","A",1
10026,1,76,27,0.0501803,"\int \frac{1}{4} \left(20-e^{x/4}+e^{4 x} (4+16 x)+e^{3 x} (-144-432 x) \log (3)+1296 \log ^2(3)+26244 \log ^4(3)+e^{2 x} \left(16+32 x+(1944+3888 x) \log ^2(3)\right)+e^x \left((-288-288 x) \log (3)+(-11664-11664 x) \log ^3(3)\right)\right) \, dx","Integrate[(20 - E^(x/4) + E^(4*x)*(4 + 16*x) + E^(3*x)*(-144 - 432*x)*Log[3] + 1296*Log[3]^2 + 26244*Log[3]^4 + E^(2*x)*(16 + 32*x + (1944 + 3888*x)*Log[3]^2) + E^x*((-288 - 288*x)*Log[3] + (-11664 - 11664*x)*Log[3]^3))/4,x]","e^{4 x} x+5 x-e^{x/4}+6561 x \log ^4(3)+2 e^{2 x} x \left(2+243 \log ^2(3)\right)-36 e^x x \log (3) \left(2+81 \log ^2(3)\right)+324 x \log ^2(3)-36 e^{3 x} x \log (3)","-e^{x/4}+x+x \left(\left(e^x-9 \log (3)\right)^2+2\right)^2",1,"-E^(x/4) + 5*x + E^(4*x)*x - 36*E^(3*x)*x*Log[3] + 324*x*Log[3]^2 + 6561*x*Log[3]^4 - 36*E^x*x*Log[3]*(2 + 81*Log[3]^2) + 2*E^(2*x)*x*(2 + 243*Log[3]^2)","B",1
10027,1,26,30,0.1412606,"\int \frac{18 x-6 x^2+54 x^6+e^x \left(-12 x+2 x^2-x^3-36 x^6\right)+e^{2 x} \left(2 x+6 x^6\right)+\left(-18+e^x (12-12 x)+18 x+e^{2 x} (-2+2 x)\right) \log (x)}{9 x-6 e^x x+e^{2 x} x} \, dx","Integrate[(18*x - 6*x^2 + 54*x^6 + E^x*(-12*x + 2*x^2 - x^3 - 36*x^6) + E^(2*x)*(2*x + 6*x^6) + (-18 + E^x*(12 - 12*x) + 18*x + E^(2*x)*(-2 + 2*x))*Log[x])/(9*x - 6*E^x*x + E^(2*x)*x),x]","x^6+\frac{x^2}{e^x-3}-\log ^2(x)+2 x \log (x)","\left(x^5+x\right) x+\frac{x^2}{e^x-3}-(\log (x)-x)^2+3",1,"x^2/(-3 + E^x) + x^6 + 2*x*Log[x] - Log[x]^2","A",1
10028,1,18,26,0.1136208,"\int \frac{-10+e^{2 x} (-40+80 x)+40 \log (3)}{1+16 e^{4 x}+e^{2 x} (8-32 \log (3))-8 \log (3)+16 \log ^2(3)} \, dx","Integrate[(-10 + E^(2*x)*(-40 + 80*x) + 40*Log[3])/(1 + 16*E^(4*x) + E^(2*x)*(8 - 32*Log[3]) - 8*Log[3] + 16*Log[3]^2),x]","-\frac{10 x}{4 e^{2 x}+1-\log (81)}","\frac{10 x^2}{4 x \left(\log (3)-e^{2 x}\right)-x}+4",1,"(-10*x)/(1 + 4*E^(2*x) - Log[81])","A",1
10029,1,26,20,0.1171872,"\int \frac{25+25 x+e^{1-x^6} \left(4+4 x-24 x^7\right)-24 e^{1-x^6} x^6 \log (x)}{4 x} \, dx","Integrate[(25 + 25*x + E^(1 - x^6)*(4 + 4*x - 24*x^7) - 24*E^(1 - x^6)*x^6*Log[x])/(4*x),x]","\frac{1}{4} e^{-x^6} \left(25 e^{x^6}+4 e\right) (x+\log (x))","\left(e^{1-x^6}+\frac{25}{4}\right) (x+\log (x))+1",1,"((4*E + 25*E^x^6)*(x + Log[x]))/(4*E^x^6)","A",1
10030,1,49,24,0.0722544,"\int \frac{1144 x^3+168 x^4-48 x^5-39754 x^6-29862 x^7-5292 x^8+504 x^9+144 x^{10}+\left(168 x-24 x^2-2288 x^3-18186 x^4-7794 x^5+216 x^7\right) \log (x)+\left(-336 x-2574 x^2-378 x^3+108 x^4\right) \log ^2(x)+(-126+18 x) \log ^3(x)}{3087 x^6+2646 x^7+756 x^8+72 x^9+\left(1323 x^4+756 x^5+108 x^6\right) \log (x)+\left(189 x^2+54 x^3\right) \log ^2(x)+9 \log ^3(x)} \, dx","Integrate[(1144*x^3 + 168*x^4 - 48*x^5 - 39754*x^6 - 29862*x^7 - 5292*x^8 + 504*x^9 + 144*x^10 + (168*x - 24*x^2 - 2288*x^3 - 18186*x^4 - 7794*x^5 + 216*x^7)*Log[x] + (-336*x - 2574*x^2 - 378*x^3 + 108*x^4)*Log[x]^2 + (-126 + 18*x)*Log[x]^3)/(3087*x^6 + 2646*x^7 + 756*x^8 + 72*x^9 + (1323*x^4 + 756*x^5 + 108*x^6)*Log[x] + (189*x^2 + 54*x^3)*Log[x]^2 + 9*Log[x]^3),x]","\frac{1}{9} x \left(\frac{24 (x-7) x}{(2 x+7) x^2+\log (x)}+\frac{16 x^3}{\left((2 x+7) x^2+\log (x)\right)^2}+9 x-126\right)","\left(-\frac{4}{3 \left(\frac{\log (x)}{x^2}+2 x+7\right)}-x+7\right)^2",1,"(x*(-126 + 9*x + (16*x^3)/(x^2*(7 + 2*x) + Log[x])^2 + (24*(-7 + x)*x)/(x^2*(7 + 2*x) + Log[x])))/9","B",1
10031,1,53,29,0.0434784,"\int \frac{15200-12683 x+3758 x^2-471 x^3+21 x^4+\left(-190+73 x-7 x^2\right) \log \left(\frac{-38+7 x}{-5+x}\right)}{190-73 x+7 x^2} \, dx","Integrate[(15200 - 12683*x + 3758*x^2 - 471*x^3 + 21*x^4 + (-190 + 73*x - 7*x^2)*Log[(-38 + 7*x)/(-5 + x)])/(190 - 73*x + 7*x^2),x]","x^3-18 x^2+80 x-\frac{38}{7} \log (38-7 x)+\frac{38}{7} \log (5-x)-\frac{1}{7} (7 x-38) \log \left(\frac{7 x-38}{x-5}\right)","x (9-x)^2-x-x \log \left(\frac{3}{5-x}+7\right)-4",1,"80*x - 18*x^2 + x^3 - (38*Log[38 - 7*x])/7 + (38*Log[5 - x])/7 - ((-38 + 7*x)*Log[(-38 + 7*x)/(-5 + x)])/7","A",1
10032,1,17,21,0.0095483,"\int \frac{-4 x^2+(-5+4 x) \log (3)}{-5 x^2+5 x \log (3)} \, dx","Integrate[(-4*x^2 + (-5 + 4*x)*Log[3])/(-5*x^2 + 5*x*Log[3]),x]","\frac{4 x}{5}-\log (x)+\log (x-\log (3))","\frac{1}{5} (4 x-5)+\log \left(\frac{x-\log (3)}{x}\right)",1,"(4*x)/5 - Log[x] + Log[x - Log[3]]","A",1
10033,1,18,18,0.3342665,"\int \frac{\exp \left(\frac{-1+e^x (-x-\log (2))+(4 x+4 \log (2)) \log (6 x)}{-e^x+4 \log (6 x)}\right) \left(16-4 e^x x+4 e^{2 x} x-32 e^x x \log (6 x)+64 x \log ^2(6 x)\right)}{e^{2 x} x-8 e^x x \log (6 x)+16 x \log ^2(6 x)} \, dx","Integrate[(E^((-1 + E^x*(-x - Log[2]) + (4*x + 4*Log[2])*Log[6*x])/(-E^x + 4*Log[6*x]))*(16 - 4*E^x*x + 4*E^(2*x)*x - 32*E^x*x*Log[6*x] + 64*x*Log[6*x]^2))/(E^(2*x)*x - 8*E^x*x*Log[6*x] + 16*x*Log[6*x]^2),x]","8 e^{x+\frac{1}{e^x-4 \log (6 x)}}","8 e^{x+\frac{1}{e^x-4 \log (6 x)}}",1,"8*E^(x + (E^x - 4*Log[6*x])^(-1))","A",1
10034,1,23,23,4.8442725,"\int \frac{\exp \left(9 e^{\frac{2 \left(-4 x-x^2\right)}{6-3 x+3 \log (x)}}+\frac{2 \left(-4 x-x^2\right)}{6-3 x+3 \log (x)}\right) \left(-24-18 x+6 x^2+(-24-12 x) \log (x)\right)}{4-4 x+x^2+(4-2 x) \log (x)+\log ^2(x)} \, dx","Integrate[(E^(9*E^((2*(-4*x - x^2))/(6 - 3*x + 3*Log[x])) + (2*(-4*x - x^2))/(6 - 3*x + 3*Log[x]))*(-24 - 18*x + 6*x^2 + (-24 - 12*x)*Log[x]))/(4 - 4*x + x^2 + (4 - 2*x)*Log[x] + Log[x]^2),x]","e^{9 e^{-\frac{2 x (x+4)}{3 (-x+\log (x)+2)}}}","e^{9 e^{\frac{2 x (x+4)}{3 (x-\log (x)-2)}}}",1,"E^(9/E^((2*x*(4 + x))/(3*(2 - x + Log[x]))))","A",1
10035,1,29,27,0.3350241,"\int \exp \left(-2 x+e^{-2 x} \left(x^2+2 e^x x^3+e^{2 x} x^4+\left(-10 x^2-2 x^3+e^x \left(-10 x^3-2 x^4\right)\right) \log ^2(x)+\left(25 x^2+10 x^3+x^4\right) \log ^4(x)\right)\right) \left(2 x-2 x^2+4 e^{2 x} x^3+e^x \left(6 x^2-2 x^3\right)+\left(-20 x-4 x^2+e^x \left(-20 x^2-4 x^3\right)\right) \log (x)+\left(-20 x+14 x^2+4 x^3+e^x \left(-30 x^2+2 x^3+2 x^4\right)\right) \log ^2(x)+\left(100 x+40 x^2+4 x^3\right) \log ^3(x)+\left(50 x-20 x^2-16 x^3-2 x^4\right) \log ^4(x)\right) \, dx","Integrate[E^(-2*x + (x^2 + 2*E^x*x^3 + E^(2*x)*x^4 + (-10*x^2 - 2*x^3 + E^x*(-10*x^3 - 2*x^4))*Log[x]^2 + (25*x^2 + 10*x^3 + x^4)*Log[x]^4)/E^(2*x))*(2*x - 2*x^2 + 4*E^(2*x)*x^3 + E^x*(6*x^2 - 2*x^3) + (-20*x - 4*x^2 + E^x*(-20*x^2 - 4*x^3))*Log[x] + (-20*x + 14*x^2 + 4*x^3 + E^x*(-30*x^2 + 2*x^3 + 2*x^4))*Log[x]^2 + (100*x + 40*x^2 + 4*x^3)*Log[x]^3 + (50*x - 20*x^2 - 16*x^3 - 2*x^4)*Log[x]^4),x]","\exp \left(e^{-2 x} x^2 \left(e^x x-\left((x+5) \log ^2(x)\right)+1\right)^2\right)","\exp \left(x^2 \left(x-e^{-x} \left((x+5) \log ^2(x)-1\right)\right)^2\right)",1,"E^((x^2*(1 + E^x*x - (5 + x)*Log[x]^2)^2)/E^(2*x))","A",1
10036,1,26,29,0.2070867,"\int \frac{-12 x^2+36 x \log ^2(2)+(-36-36 x) \log ^4(2)+\left(-24 x^2+\left(24 x+24 x^2\right) \log ^2(2)\right) \log (x)+\left(-4 x^2-4 x^3\right) \log ^2(x)}{9 x^3 \log ^4(2)-6 x^4 \log ^2(2) \log (x)+x^5 \log ^2(x)} \, dx","Integrate[(-12*x^2 + 36*x*Log[2]^2 + (-36 - 36*x)*Log[2]^4 + (-24*x^2 + (24*x + 24*x^2)*Log[2]^2)*Log[x] + (-4*x^2 - 4*x^3)*Log[x]^2)/(9*x^3*Log[2]^4 - 6*x^4*Log[2]^2*Log[x] + x^5*Log[x]^2),x]","-\frac{2 \left(x \left(-\frac{6}{x \log (x)-3 \log ^2(2)}-2\right)-1\right)}{x^2}","\frac{4 \left(x-\frac{x}{\log ^2(2)-\frac{1}{3} x \log (x)}+\frac{1}{2}\right)}{x^2}+4",1,"(-2*(-1 + x*(-2 - 6/(-3*Log[2]^2 + x*Log[x]))))/x^2","A",1
10037,1,15,15,0.0076,"\int \frac{9-24 x}{e^3 \left(9 x^2-24 x^3+16 x^4\right)} \, dx","Integrate[(9 - 24*x)/(E^3*(9*x^2 - 24*x^3 + 16*x^4)),x]","\frac{3}{e^3 x (4 x-3)}","\frac{3}{e^3 x (4 x-3)}",1,"3/(E^3*x*(-3 + 4*x))","A",1
10038,1,25,18,0.0057074,"\int \left(1-4 x^3+4 x^2 \log (x)+6 x^2 \log ^2(x)-4 x \log ^3(x)-2 x \log ^4(x)\right) \, dx","Integrate[1 - 4*x^3 + 4*x^2*Log[x] + 6*x^2*Log[x]^2 - 4*x*Log[x]^3 - 2*x*Log[x]^4,x]","-x^4+2 x^3 \log ^2(x)-x^2 \log ^4(x)+x","-x^2 \left(\log ^2(x)-x\right)^2+x-8",1,"x - x^4 + 2*x^3*Log[x]^2 - x^2*Log[x]^4","A",1
10039,1,23,23,0.1008378,"\int \frac{\left(-20+12 x+(4-2 x) \log \left(e^{8+x}\right)\right) \log \left(\frac{1}{5} e^{-x} \left(-10 x^2+2 x^2 \log \left(e^{8+x}\right)\right)\right)}{-5 x+x \log \left(e^{8+x}\right)} \, dx","Integrate[((-20 + 12*x + (4 - 2*x)*Log[E^(8 + x)])*Log[(-10*x^2 + 2*x^2*Log[E^(8 + x)])/(5*E^x)])/(-5*x + x*Log[E^(8 + x)]),x]","\log ^2\left(\frac{2}{5} e^{-x} x^2 \left(\log \left(e^{x+8}\right)-5\right)\right)","\log ^2\left(\frac{2}{5} e^{-x} x^2 \left(\log \left(e^{x+8}\right)-5\right)\right)",1,"Log[(2*x^2*(-5 + Log[E^(8 + x)]))/(5*E^x)]^2","A",1
10040,1,26,28,0.124293,"\int \frac{\exp \left(\frac{81 x^2}{625-500 x+150 x^2-20 x^3+x^4+\left(50 x-20 x^2+2 x^3\right) \log (2+4 x)+x^2 \log ^2(2+4 x)}\right) \left(4050 x+8100 x^2-486 x^3-324 x^4\right)}{46875+37500 x-84375 x^2+48750 x^3-13875 x^4+2160 x^5-177 x^6+6 x^7+\left(5625 x+6750 x^2-7650 x^3+2520 x^4-351 x^5+18 x^6\right) \log (2+4 x)+\left(225 x^2+360 x^3-171 x^4+18 x^5\right) \log ^2(2+4 x)+\left(3 x^3+6 x^4\right) \log ^3(2+4 x)+\exp \left(\frac{81 x^2}{625-500 x+150 x^2-20 x^3+x^4+\left(50 x-20 x^2+2 x^3\right) \log (2+4 x)+x^2 \log ^2(2+4 x)}\right) \left(15625+12500 x-28125 x^2+16250 x^3-4625 x^4+720 x^5-59 x^6+2 x^7+\left(1875 x+2250 x^2-2550 x^3+840 x^4-117 x^5+6 x^6\right) \log (2+4 x)+\left(75 x^2+120 x^3-57 x^4+6 x^5\right) \log ^2(2+4 x)+\left(x^3+2 x^4\right) \log ^3(2+4 x)\right)} \, dx","Integrate[(E^((81*x^2)/(625 - 500*x + 150*x^2 - 20*x^3 + x^4 + (50*x - 20*x^2 + 2*x^3)*Log[2 + 4*x] + x^2*Log[2 + 4*x]^2))*(4050*x + 8100*x^2 - 486*x^3 - 324*x^4))/(46875 + 37500*x - 84375*x^2 + 48750*x^3 - 13875*x^4 + 2160*x^5 - 177*x^6 + 6*x^7 + (5625*x + 6750*x^2 - 7650*x^3 + 2520*x^4 - 351*x^5 + 18*x^6)*Log[2 + 4*x] + (225*x^2 + 360*x^3 - 171*x^4 + 18*x^5)*Log[2 + 4*x]^2 + (3*x^3 + 6*x^4)*Log[2 + 4*x]^3 + E^((81*x^2)/(625 - 500*x + 150*x^2 - 20*x^3 + x^4 + (50*x - 20*x^2 + 2*x^3)*Log[2 + 4*x] + x^2*Log[2 + 4*x]^2))*(15625 + 12500*x - 28125*x^2 + 16250*x^3 - 4625*x^4 + 720*x^5 - 59*x^6 + 2*x^7 + (1875*x + 2250*x^2 - 2550*x^3 + 840*x^4 - 117*x^5 + 6*x^6)*Log[2 + 4*x] + (75*x^2 + 120*x^3 - 57*x^4 + 6*x^5)*Log[2 + 4*x]^2 + (x^3 + 2*x^4)*Log[2 + 4*x]^3)),x]","\log \left(e^{\frac{81 x^2}{\left((x-5)^2+x \log (4 x+2)\right)^2}}+3\right)","\log \left(e^{\frac{81 x^2}{\left((5-x)^2+x \log (4 x+2)\right)^2}}+3\right)",1,"Log[3 + E^((81*x^2)/((-5 + x)^2 + x*Log[2 + 4*x])^2)]","A",1
10041,1,32,27,0.0052728,"\int \frac{16-3 x-16 x^3+3 x^4+\left(-48+6 x+3 x^4\right) \log (x)}{5 x^4} \, dx","Integrate[(16 - 3*x - 16*x^3 + 3*x^4 + (-48 + 6*x + 3*x^4)*Log[x])/(5*x^4),x]","\frac{16 \log (x)}{5 x^3}-\frac{3 \log (x)}{5 x^2}+\frac{3}{5} x \log (x)-\frac{16 \log (x)}{5}","\frac{(3 (5-x)+1) \left(\frac{1}{x^2}-x\right) \log (x)}{5 x}-1",1,"(-16*Log[x])/5 + (16*Log[x])/(5*x^3) - (3*Log[x])/(5*x^2) + (3*x*Log[x])/5","A",1
10042,1,22,17,0.0442697,"\int \frac{\frac{6}{e^3}+\left(6+\frac{12 x}{e^3}\right) \log (x)+\frac{6 \log (x) \log (\log (x))}{e^3}}{2 \log (x)} \, dx","Integrate[(6/E^3 + (6 + (12*x)/E^3)*Log[x] + (6*Log[x]*Log[Log[x]])/E^3)/(2*Log[x]),x]","\frac{3 x^2+3 e^3 x+3 x \log (\log (x))}{e^3}","\frac{3}{2} x \left(\frac{2 (x+\log (\log (x)))}{e^3}+2\right)",1,"(3*E^3*x + 3*x^2 + 3*x*Log[Log[x]])/E^3","A",1
10043,1,31,23,0.1869776,"\int \frac{-90-5 x+4 x^3+\left(-180+13 x+x^2\right) \log \left(\frac{5}{x}\right)}{4 x^3+\left(18 x+x^2\right) \log \left(\frac{5}{x}\right)} \, dx","Integrate[(-90 - 5*x + 4*x^3 + (-180 + 13*x + x^2)*Log[5/x])/(4*x^3 + (18*x + x^2)*Log[5/x]),x]","5 \log \left(4 x^2+x \log \left(\frac{5}{x}\right)+18 \log \left(\frac{5}{x}\right)\right)+x-10 \log (x)","5 \left(\log \left(\frac{(x+18) \log \left(\frac{5}{x}\right)}{x^2}+4\right)+1\right)+x-4",1,"x - 10*Log[x] + 5*Log[4*x^2 + 18*Log[5/x] + x*Log[5/x]]","A",1
10044,1,22,19,0.0000812,"\int \left(2-4 x+4 e^2 x+6 x^2\right) \, dx","Integrate[2 - 4*x + 4*E^2*x + 6*x^2,x]","2 x^3+2 e^2 x^2-2 x^2+2 x","2 x \left(-((2-x) x)+e^2 x+x+1\right)",1,"2*x - 2*x^2 + 2*E^2*x^2 + 2*x^3","A",1
10045,1,17,20,0.0855577,"\int \frac{-50 e^{25-50 x} x^2-2 \log (x)+\log ^2(x)}{x^2} \, dx","Integrate[(-50*E^(25 - 50*x)*x^2 - 2*Log[x] + Log[x]^2)/x^2,x]","e^{25-50 x}-\frac{\log ^2(x)}{x}","e^{25 (1-2 x)}-\frac{\log ^2(x)}{x}+3",1,"E^(25 - 50*x) - Log[x]^2/x","A",1
10046,1,13,24,0.0011527,"\int \frac{1}{2} (-2-x \log (2)) \, dx","Integrate[(-2 - x*Log[2])/2,x]","-\frac{1}{4} x^2 \log (2)-x","-\frac{1}{4} \log (2) \log \left(3 \left(1+e^6\right) e^{x^2}\right)-x+1",1,"-x - (x^2*Log[2])/4","A",1
10047,1,18,24,0.0474275,"\int \frac{1}{5} e^{\frac{1}{5} \left(-6 x+6 x^2+5 x^3\right)} \left(-6+12 x+15 x^2\right) \, dx","Integrate[(E^((-6*x + 6*x^2 + 5*x^3)/5)*(-6 + 12*x + 15*x^2))/5,x]","e^{x^3+\frac{6 x^2}{5}-\frac{6 x}{5}}","\exp \left(\frac{1}{5} (-((-5 (x+2) x+4 x+5) x)-x)\right)",1,"E^((-6*x)/5 + (6*x^2)/5 + x^3)","A",1
10048,1,17,18,0.0025733,"\int \left(\left(45-15 x^2\right) \log (2)-15 x^2 \log (2) \log \left(x^3\right)\right) \, dx","Integrate[(45 - 15*x^2)*Log[2] - 15*x^2*Log[2]*Log[x^3],x]","45 x \log (2)-5 x^3 \log (2) \log \left(x^3\right)","\frac{5}{2} x \log (2) \left(18-2 x^2 \log \left(x^3\right)\right)",1,"45*x*Log[2] - 5*x^3*Log[2]*Log[x^3]","A",1
10049,1,21,18,0.0099539,"\int \frac{4+32 x+15 x^2-150 x^3-125 x^4}{1+6 x+27 x^2+68 x^3+135 x^4+150 x^5+125 x^6} \, dx","Integrate[(4 + 32*x + 15*x^2 - 150*x^3 - 125*x^4)/(1 + 6*x + 27*x^2 + 68*x^3 + 135*x^4 + 150*x^5 + 125*x^6),x]","\frac{x (5 x+2)^2}{\left(5 x^2+2 x+1\right)^2}","\frac{x}{\left(x+\frac{1}{x+\log \left(e^{4 x+2}\right)}\right)^2}",1,"(x*(2 + 5*x)^2)/(1 + 2*x + 5*x^2)^2","A",1
10050,1,27,16,0.287038,"\int \frac{-6-7 x+27 x^2-9 x^3+x^4-2 x \log \left(x^2\right)}{-81 x+72 x^2-9 x^3-5 x^4+x^5+\left(-3 x+x^2\right) \log \left(x^2\right)} \, dx","Integrate[(-6 - 7*x + 27*x^2 - 9*x^3 + x^4 - 2*x*Log[x^2])/(-81*x + 72*x^2 - 9*x^3 - 5*x^4 + x^5 + (-3*x + x^2)*Log[x^2]),x]","\log \left(x^3-2 x^2+\log \left(x^2\right)-15 x+27\right)-2 \log (3-x)","\log \left(\frac{\log \left(x^2\right)-9}{(x-3)^2}+x+4\right)",1,"-2*Log[3 - x] + Log[27 - 15*x - 2*x^2 + x^3 + Log[x^2]]","A",1
10051,1,23,23,0.0845342,"\int \frac{1+\log (x)+\left(x-x^2-x^3-4 x^4-x^5\right) \log (x) \log (-x \log (x)) \log (\log (-x \log (x)))+x \log (x) \log (-x \log (x)) \log (\log (-x \log (x))) \log (\log (\log (-x \log (x))))}{\left(x^2-x^3-x^5\right) \log (x) \log (-x \log (x)) \log (\log (-x \log (x)))+x \log (x) \log (-x \log (x)) \log (\log (-x \log (x))) \log (\log (\log (-x \log (x))))} \, dx","Integrate[(1 + Log[x] + (x - x^2 - x^3 - 4*x^4 - x^5)*Log[x]*Log[-(x*Log[x])]*Log[Log[-(x*Log[x])]] + x*Log[x]*Log[-(x*Log[x])]*Log[Log[-(x*Log[x])]]*Log[Log[Log[-(x*Log[x])]]])/((x^2 - x^3 - x^5)*Log[x]*Log[-(x*Log[x])]*Log[Log[-(x*Log[x])]] + x*Log[x]*Log[-(x*Log[x])]*Log[Log[-(x*Log[x])]]*Log[Log[Log[-(x*Log[x])]]]),x]","\log \left(x^4+x^2-x-\log (\log (\log (-x \log (x))))\right)+x","\log \left(x^4+x^2-x-\log (\log (\log (-x \log (x))))\right)+x",1,"x + Log[-x + x^2 + x^4 - Log[Log[Log[-(x*Log[x])]]]]","A",1
10052,1,19,29,0.0179697,"\int \frac{e^{-x} \left(e^x \left(4-36 x^2\right)+e^{4+2 x} \left(x^2+x^3\right)\right)}{4 x^2} \, dx","Integrate[(E^x*(4 - 36*x^2) + E^(4 + 2*x)*(x^2 + x^3))/(4*E^x*x^2),x]","\frac{1}{4} e^{x+4} x-9 x-\frac{1}{x}","\left(\frac{e^{x+4}}{4}-\left(\frac{1-x}{x}+4\right)^2\right) x+1",1,"-x^(-1) - 9*x + (E^(4 + x)*x)/4","A",1
10053,1,19,20,0.0011385,"\int \frac{1}{2} (-4+4 x+(-1+x) \log (9)) \, dx","Integrate[(-4 + 4*x + (-1 + x)*Log[9])/2,x]","\frac{1}{2} \left(\frac{x^2}{2}-x\right) (4+\log (9))","\frac{1}{4} \left((1-x)^2+e^4-7\right) (4+\log (9))",1,"((-x + x^2/2)*(4 + Log[9]))/2","A",1
10054,1,22,22,0.0153946,"\int \frac{-x^3+e x^2 \left(4 e^{\frac{2-4 x^2}{x^2}}+2 x^3\right)}{e x^5} \, dx","Integrate[(-x^3 + E*x^2*(4*E^((2 - 4*x^2)/x^2) + 2*x^3))/(E*x^5),x]","-e^{\frac{2}{x^2}-4}+2 x+\frac{1}{e x}","-e^{\frac{2}{x^2}-4}+2 x+\frac{1}{e x}",1,"-E^(-4 + 2/x^2) + 1/(E*x) + 2*x","A",1
10055,1,28,24,0.020659,"\int \left(-4+\log (5)+e^{\sqrt{e} (-2+2 x)} \left(8 \sqrt{e}-2 \sqrt{e} \log (5)\right)\right) \, dx","Integrate[-4 + Log[5] + E^(Sqrt[E]*(-2 + 2*x))*(8*Sqrt[E] - 2*Sqrt[E]*Log[5]),x]","-\left(\left(e^{2 \sqrt{e} x-2 \sqrt{e}}-x\right) (\log (5)-4)\right)","\left(x-e^{2 \sqrt{e} (x-1)}+\frac{1}{2}\right) (\log (5)-4)",1,"-((E^(-2*Sqrt[E] + 2*Sqrt[E]*x) - x)*(-4 + Log[5]))","A",1
10056,1,22,17,0.0623539,"\int \frac{677 x^2+x^3+e^{-1+x} \left(676-675 x-x^2\right)}{676 x^2+x^3} \, dx","Integrate[(677*x^2 + x^3 + E^(-1 + x)*(676 - 675*x - x^2))/(676*x^2 + x^3),x]","\frac{e x-\frac{e^x}{x}+e \log (x+676)}{e}","x-\frac{e^{x-1}}{x}+\log (x+676)+1",1,"(-(E^x/x) + E*x + E*Log[676 + x])/E","A",1
10057,1,26,26,0.1815186,"\int \frac{\exp \left(\frac{e^{8 x} \left(-3+\log (2)+e^x \log (2)\right)-\log (2) \log (5)}{-3+\log (2)+e^x \log (2)}\right) \left(e^{8 x} \left(72-48 \log (2)+8 \log ^2(2)+8 e^{2 x} \log ^2(2)+e^x \left(-48 \log (2)+16 \log ^2(2)\right)\right)+e^x \log ^2(2) \log (5)\right)}{9-6 \log (2)+\log ^2(2)+e^{2 x} \log ^2(2)+e^x \left(-6 \log (2)+2 \log ^2(2)\right)} \, dx","Integrate[(E^((E^(8*x)*(-3 + Log[2] + E^x*Log[2]) - Log[2]*Log[5])/(-3 + Log[2] + E^x*Log[2]))*(E^(8*x)*(72 - 48*Log[2] + 8*Log[2]^2 + 8*E^(2*x)*Log[2]^2 + E^x*(-48*Log[2] + 16*Log[2]^2)) + E^x*Log[2]^2*Log[5]))/(9 - 6*Log[2] + Log[2]^2 + E^(2*x)*Log[2]^2 + E^x*(-6*Log[2] + 2*Log[2]^2)),x]","\exp \left(e^{8 x}-\frac{\log (2) \log (5)}{e^x \log (2)-3+\log (2)}\right)","e^{e^{8 x}+\frac{\log (5)}{-e^x-1+\frac{3}{\log (2)}}}",1,"E^(E^(8*x) - (Log[2]*Log[5])/(-3 + Log[2] + E^x*Log[2]))","A",1
10058,1,29,29,0.0196778,"\int \frac{9 x^2+26 e^x x^2-6 x^3-6 x^4+e^{2 x} (-13+26 x)}{x^2} \, dx","Integrate[(9*x^2 + 26*E^x*x^2 - 6*x^3 - 6*x^4 + E^(2*x)*(-13 + 26*x))/x^2,x]","-2 x^3-3 x^2+9 x+26 e^x+\frac{13 e^{2 x}}{x}","\left(\frac{13 \left(x+e^x\right)^2}{x^2}-x (2 x+3)-3\right) x-x+4",1,"26*E^x + (13*E^(2*x))/x + 9*x - 3*x^2 - 2*x^3","A",1
10059,1,34,27,0.0264842,"\int \frac{-3125+20625 x-49125 x^2+49775 x^3-19650 x^4+3300 x^5-200 x^6+e^{10} \left(-5+33 x-10 x^2\right)}{125 x^2-825 x^3+1965 x^4-1991 x^5+786 x^6-132 x^7+8 x^8} \, dx","Integrate[(-3125 + 20625*x - 49125*x^2 + 49775*x^3 - 19650*x^4 + 3300*x^5 - 200*x^6 + E^10*(-5 + 33*x - 10*x^2))/(125*x^2 - 825*x^3 + 1965*x^4 - 1991*x^5 + 786*x^6 - 132*x^7 + 8*x^8),x]","\frac{25 \left(2 x^2-11 x+5\right)^2+e^{10}}{x \left(2 x^2-11 x+5\right)^2}","\frac{-x+\frac{e^{10}}{(1-2 x)^2 (5-x)^2}+25}{x}",1,"(E^10 + 25*(5 - 11*x + 2*x^2)^2)/(x*(5 - 11*x + 2*x^2)^2)","A",1
10060,1,16,20,0.0131049,"\int e^{\frac{1}{2} e^2 \left(8 x-x^2\right)} \left(3+e^2 \left(12 x-3 x^2\right)\right) \, dx","Integrate[E^((E^2*(8*x - x^2))/2)*(3 + E^2*(12*x - 3*x^2)),x]","3 e^{-\frac{1}{2} e^2 (x-8) x} x","3 e^{\frac{1}{2} e^2 (8-x) x} x-20",1,"(3*x)/E^((E^2*(-8 + x)*x)/2)","A",1
10061,1,27,25,0.4356612,"\int \frac{e^{\frac{-2 e^{1+x}-4 x+e (8+16 x)}{x}} \left(-8 e+e^{1+x} (2-2 x)\right)-x^2}{x^2} \, dx","Integrate[(E^((-2*E^(1 + x) - 4*x + E*(8 + 16*x))/x)*(-8*E + E^(1 + x)*(2 - 2*x)) - x^2)/x^2,x]","e^{-\frac{2 e^{x+1}}{x}+\frac{8 e}{x}+16 e-4}-x","e^{-2 e \left(\frac{e^x}{x}-\frac{4}{x}-8\right)-4}-x",1,"E^(-4 + 16*E + (8*E)/x - (2*E^(1 + x))/x) - x","A",1
10062,1,21,29,0.1197367,"\int \frac{-6-369 x+149 x^2-15 x^3+\left(12+369 x-15 x^3\right) \log (x) \log (\log (x))}{x^3 \log (x)} \, dx","Integrate[(-6 - 369*x + 149*x^2 - 15*x^3 + (12 + 369*x - 15*x^3)*Log[x]*Log[Log[x]])/(x^3*Log[x]),x]","\left(149-\frac{3 \left(5 x^3+123 x+2\right)}{x^2}\right) \log (\log (x))","\frac{\left(-3 \left(5 (5-x)^2+\frac{2}{x}\right)-x+6\right) \log (\log (x))}{x}",1,"(149 - (3*(2 + 123*x + 5*x^3))/x^2)*Log[Log[x]]","A",1
10063,1,9,9,0.0015843,"\int \frac{1}{24} \left(25+24 e^x\right) \, dx","Integrate[(25 + 24*E^x)/24,x]","\frac{25 x}{24}+e^x","\frac{25 x}{24}+e^x",1,"E^x + (25*x)/24","A",1
10064,1,28,28,0.2133494,"\int \frac{e^{3-e^{625}-x} \left(-1+2 x+e^{-3+e^{625}+x} x^2+(-1-x) \log \left(\frac{e^{2 x}}{x}\right)\right)}{x^2} \, dx","Integrate[(E^(3 - E^625 - x)*(-1 + 2*x + E^(-3 + E^625 + x)*x^2 + (-1 - x)*Log[E^(2*x)/x]))/x^2,x]","x+\frac{e^{-x-e^{625}+3} \log \left(\frac{e^{2 x}}{x}\right)}{x}","x+\frac{e^{-x-e^{625}+3} \log \left(\frac{e^{2 x}}{x}\right)}{x}",1,"x + (E^(3 - E^625 - x)*Log[E^(2*x)/x])/x","A",1
10065,1,14,25,0.0552239,"\int \frac{-240 x \log ^2(x)+\left(480 e^3-480 x\right) \log (x) \log \left(-e^3+x\right)}{e^3 x-x^2} \, dx","Integrate[(-240*x*Log[x]^2 + (480*E^3 - 480*x)*Log[x]*Log[-E^3 + x])/(E^3*x - x^2),x]","240 \log ^2(x) \log \left(x-e^3\right)","240 \log ^2(x) \log \left(\left(1-\frac{e^3}{x}\right) x\right)-e^2",1,"240*Log[x]^2*Log[-E^3 + x]","A",1
10066,1,33,27,0.2635852,"\int \frac{-17+e^x \left(6 x+4 x^2+e^5 (2+4 x)\right) \log (2)+e^x \left(2 x+2 e^5 x+2 x^2\right) \log (2) \log (x)}{3 x} \, dx","Integrate[(-17 + E^x*(6*x + 4*x^2 + E^5*(2 + 4*x))*Log[2] + E^x*(2*x + 2*E^5*x + 2*x^2)*Log[2]*Log[x])/(3*x),x]","\frac{1}{3} \left(e^x \left(x+e^5\right) \log (4) \log (x)+e^x \left(x+e^5\right) \log (16)-17 \log (x)\right)","\left(\frac{2}{3} \left(1-e^x \left(x+e^5\right) \log (2)\right)+5\right) (-\log (x)-2)",1,"(E^x*(E^5 + x)*Log[16] - 17*Log[x] + E^x*(E^5 + x)*Log[4]*Log[x])/3","A",1
10067,1,23,26,0.0433477,"\int \left(75 x^2+300 e^3 x^2+300 e^6 x^2+e^{4 x} (1+4 x)+\left(150 x^2+300 e^3 x^2\right) \log (4)+75 x^2 \log ^2(4)+e^{2 x} \left(-20 x-20 x^2+e^3 \left(-40 x-40 x^2\right)+\left(-20 x-20 x^2\right) \log (4)\right)\right) \, dx","Integrate[75*x^2 + 300*E^3*x^2 + 300*E^6*x^2 + E^(4*x)*(1 + 4*x) + (150*x^2 + 300*E^3*x^2)*Log[4] + 75*x^2*Log[4]^2 + E^(2*x)*(-20*x - 20*x^2 + E^3*(-40*x - 40*x^2) + (-20*x - 20*x^2)*Log[4]),x]","x \left(-10 e^3 x+e^{2 x}-5 x (1+\log (4))\right)^2","x \left(5 \left(2 e^3 x+x+x \log (4)\right)-e^{2 x}\right)^2",1,"x*(E^(2*x) - 10*E^3*x - 5*x*(1 + Log[4]))^2","A",1
10068,1,21,21,0.0358877,"\int \left(2+e^{-2 e^x+2 x} \left(2 e^2-2 e^{2+x}\right)-2 x\right) \, dx","Integrate[2 + E^(-2*E^x + 2*x)*(2*E^2 - 2*E^(2 + x)) - 2*x,x]","-x^2+2 x+e^{2 x-2 e^x+2}","-x^2+2 x+e^{2 x-2 e^x+2}",1,"E^(2 - 2*E^x + 2*x) + 2*x - x^2","A",1
10069,1,19,16,0.0095409,"\int \frac{300-60 x-25 x^2-3 x^3}{-300 x+12 x^2-25 x^3+x^4} \, dx","Integrate[(300 - 60*x - 25*x^2 - 3*x^3)/(-300*x + 12*x^2 - 25*x^3 + x^4),x]","\log \left(x^2+12\right)-4 \log (25-x)-\log (x)","\log \left(\frac{x+\frac{12}{x}}{(25-x)^4}\right)",1,"-4*Log[25 - x] - Log[x] + Log[12 + x^2]","A",1
10070,1,10,19,0.001038,"\int \frac{6+x^2+2 x^3}{x^2} \, dx","Integrate[(6 + x^2 + 2*x^3)/x^2,x]","x^2+x-\frac{6}{x}","x^2+x-\frac{6}{x}-1-\frac{2}{\log \left(\frac{5}{3}\right)}",1,"-6/x + x + x^2","A",1
10071,1,28,23,0.1456462,"\int \frac{e^{1+\frac{e-6 x+6 x^2}{-2 x+2 x^2}} (1-2 x)-2 x+6 x^2-6 x^3+2 x^4}{2 x^2-4 x^3+2 x^4} \, dx","Integrate[(E^(1 + (E - 6*x + 6*x^2)/(-2*x + 2*x^2))*(1 - 2*x) - 2*x + 6*x^2 - 6*x^3 + 2*x^4)/(2*x^2 - 4*x^3 + 2*x^4),x]","x+e^{-\frac{e}{2 x}+\frac{e}{2 (x-1)}+3}-\log (x)","x+e^{\frac{2 e}{x (4 x-4)}+3}-\log (x)",1,"E^(3 + E/(2*(-1 + x)) - E/(2*x)) + x - Log[x]","A",1
10072,1,45,28,0.1703479,"\int \frac{-700+e^{\frac{1}{25} \left(-125+145 x-16 x^2+25 x \log (3 x)\right)} \left(25-170 x+32 x^2-25 x \log (3 x)\right)}{19600-1400 e^{\frac{1}{25} \left(-125+145 x-16 x^2+25 x \log (3 x)\right)}+25 e^{\frac{2}{25} \left(-125+145 x-16 x^2+25 x \log (3 x)\right)}} \, dx","Integrate[(-700 + E^((-125 + 145*x - 16*x^2 + 25*x*Log[3*x])/25)*(25 - 170*x + 32*x^2 - 25*x*Log[3*x]))/(19600 - 1400*E^((-125 + 145*x - 16*x^2 + 25*x*Log[3*x])/25) + 25*E^((2*(-125 + 145*x - 16*x^2 + 25*x*Log[3*x]))/25)),x]","-\frac{e^{\frac{16 x^2}{25}+5} x}{28 e^{\frac{16 x^2}{25}+5}-3^x e^{29 x/5} x^x}","\frac{x}{e^{-\left(\frac{4 x}{5}-3\right)^2+x+x \log (3 x)+4}-28}",1,"-((E^(5 + (16*x^2)/25)*x)/(28*E^(5 + (16*x^2)/25) - 3^x*E^((29*x)/5)*x^x))","A",1
10073,1,24,26,1.0133561,"\int \frac{-x^2-x^3+x^4+x^5+\left(-2 x-2 x^2+2 x^3+2 x^4\right) \log (4)+\left(-1-x+x^2+x^3\right) \log ^2(4)+e^x \left(-2 x^2-4 x^3-2 x^4+\left(-4 x-8 x^2-4 x^3\right) \log (4)+\left(-2-4 x-2 x^2\right) \log ^2(4)\right)+\left(2 x^2+6 x^3+4 x^4+\left(2 x+8 x^2+6 x^3\right) \log (4)+\left(2 x+2 x^2\right) \log ^2(4)+e^x \left(4 x^2+12 x^3+8 x^4+\left(4 x+16 x^2+12 x^3\right) \log (4)+\left(4 x+4 x^2\right) \log ^2(4)\right)\right) \log \left(e^{-x} \left(x+2 e^x x\right)\right)}{\left(x+2 e^x x\right) \log ^2\left(e^{-x} \left(x+2 e^x x\right)\right)} \, dx","Integrate[(-x^2 - x^3 + x^4 + x^5 + (-2*x - 2*x^2 + 2*x^3 + 2*x^4)*Log[4] + (-1 - x + x^2 + x^3)*Log[4]^2 + E^x*(-2*x^2 - 4*x^3 - 2*x^4 + (-4*x - 8*x^2 - 4*x^3)*Log[4] + (-2 - 4*x - 2*x^2)*Log[4]^2) + (2*x^2 + 6*x^3 + 4*x^4 + (2*x + 8*x^2 + 6*x^3)*Log[4] + (2*x + 2*x^2)*Log[4]^2 + E^x*(4*x^2 + 12*x^3 + 8*x^4 + (4*x + 16*x^2 + 12*x^3)*Log[4] + (4*x + 4*x^2)*Log[4]^2))*Log[(x + 2*E^x*x)/E^x])/((x + 2*E^x*x)*Log[(x + 2*E^x*x)/E^x]^2),x]","\frac{(x+1)^2 (x+\log (4))^2}{\log \left(\left(e^{-x}+2\right) x\right)}","\frac{(x+1)^2 (x+\log (4))^2}{\log \left(e^{-x} x+2 x\right)}",1,"((1 + x)^2*(x + Log[4])^2)/Log[(2 + E^(-x))*x]","A",1
10074,1,62,25,0.0377353,"\int \frac{16 \left(4-12 e^{16} x\right)^4}{81 e^{64} x^4 \left(-25 x+75 e^{16} x^2+\frac{\left(4-12 e^{16} x\right)^4 \left(10 x-30 e^{16} x^2\right)}{81 e^{64} x^4}+\frac{\left(4-12 e^{16} x\right)^8 \left(-x+3 e^{16} x^2\right)}{6561 e^{128} x^8}\right)} \, dx","Integrate[(16*(4 - 12*E^16*x)^4)/(81*E^64*x^4*(-25*x + 75*E^16*x^2 + ((4 - 12*E^16*x)^4*(10*x - 30*E^16*x^2))/(81*E^64*x^4) + ((4 - 12*E^16*x)^8*(-x + 3*E^16*x^2))/(6561*E^128*x^8))),x]","\frac{1024 \left(-108 e^{48} x^3+54 e^{32} x^2-12 e^{16} x+1\right)}{251 \left(20331 e^{64} x^4-27648 e^{48} x^3+13824 e^{32} x^2-3072 e^{16} x+256\right)}","\frac{4}{5-\left(\frac{4}{3 e^{16} x}-4\right)^4}+\log (15)",1,"(1024*(1 - 12*E^16*x + 54*E^32*x^2 - 108*E^48*x^3))/(251*(256 - 3072*E^16*x + 13824*E^32*x^2 - 27648*E^48*x^3 + 20331*E^64*x^4))","B",1
10075,1,20,23,0.417134,"\int \frac{2^{-1/x} \left(2^{\frac{1}{x}} e^{-5+x} \left(-x-x^2\right)+e^{-2+x} \left(x+x^2+\log (2)\right)\right)}{x} \, dx","Integrate[(2^x^(-1)*E^(-5 + x)*(-x - x^2) + E^(-2 + x)*(x + x^2 + Log[2]))/(2^x^(-1)*x),x]","e^{x-5} \left(e^3 2^{-1/x}-1\right) x","2^{-1/x} e^{x-2} x-e^{x-5} x",1,"E^(-5 + x)*(-1 + E^3/2^x^(-1))*x","A",1
10076,1,31,24,1.6288874,"\int \frac{\exp \left(-4+\frac{25+115 x-49 x^2+5 x^3+\left(25-10 x+x^2\right) \log \left(x^2\right)}{e^4}\right) \left(100+190 x-192 x^2+30 x^3+\left(-20 x+4 x^2\right) \log \left(x^2\right)\right)}{x} \, dx","Integrate[(E^(-4 + (25 + 115*x - 49*x^2 + 5*x^3 + (25 - 10*x + x^2)*Log[x^2])/E^4)*(100 + 190*x - 192*x^2 + 30*x^3 + (-20*x + 4*x^2)*Log[x^2]))/x,x]","2 e^{\frac{(x-5)^2 (5 x+1)}{e^4}} \left(x^2\right)^{\frac{(x-5)^2}{e^4}}","2 e^{\frac{(5-x)^2 \left(\log \left(x^2\right)+5 x+1\right)}{e^4}}",1,"2*E^(((-5 + x)^2*(1 + 5*x))/E^4)*(x^2)^((-5 + x)^2/E^4)","A",1
10077,1,26,31,0.5270621,"\int \frac{e^{-1-x} x \left(150 x-39 x^2-36 x^3-3 x^4+e \left(500-500 x-260 x^2-20 x^3\right)\right)}{\left(25+12 x+x^2\right) \left(25 x+12 x^2+x^3\right)} \, dx","Integrate[(E^(-1 - x)*x*(150*x - 39*x^2 - 36*x^3 - 3*x^4 + E*(500 - 500*x - 260*x^2 - 20*x^3)))/((25 + 12*x + x^2)*(25*x + 12*x^2 + x^3)),x]","\frac{e^{-x-1} x (3 x+20 e)}{x^2+12 x+25}","\frac{e^{-x} \left(\frac{3 x}{e}+20\right)}{\frac{(x+5)^2-2 x}{x}+4}",1,"(E^(-1 - x)*x*(20*E + 3*x))/(25 + 12*x + x^2)","A",1
10078,1,10,9,0.0106246,"\int \frac{-1+\log (3 x)}{x \log (3 x)} \, dx","Integrate[(-1 + Log[3*x])/(x*Log[3*x]),x]","\log (x)-\log (\log (3 x))","\log \left(\frac{x}{\log (3 x)}\right)",1,"Log[x] - Log[Log[3*x]]","A",1
10079,1,24,24,5.0677738,"\int \frac{-16+136 x-248 x^2-96 x^3-256 x^4+\left(24-120 x+160 x^2-256 x^3\right) \log (x)+\left(-8 x+32 x^2+(-8+32 x) \log (x)\right) \log (x+\log (x))}{-1594323 x^4+2657205 x^5-1771470 x^6+590490 x^7-98415 x^8+6561 x^9+\left(-1594323 x^3+2657205 x^4-1771470 x^5+590490 x^6-98415 x^7+6561 x^8\right) \log (x)+\left(2657205 x^4-3542940 x^5+1771470 x^6-393660 x^7+32805 x^8+\left(2657205 x^3-3542940 x^4+1771470 x^5-393660 x^6+32805 x^7\right) \log (x)\right) \log (x+\log (x))+\left(-1771470 x^4+1771470 x^5-590490 x^6+65610 x^7+\left(-1771470 x^3+1771470 x^4-590490 x^5+65610 x^6\right) \log (x)\right) \log ^2(x+\log (x))+\left(590490 x^4-393660 x^5+65610 x^6+\left(590490 x^3-393660 x^4+65610 x^5\right) \log (x)\right) \log ^3(x+\log (x))+\left(-98415 x^4+32805 x^5+\left(-98415 x^3+32805 x^4\right) \log (x)\right) \log ^4(x+\log (x))+\left(6561 x^4+6561 x^3 \log (x)\right) \log ^5(x+\log (x))} \, dx","Integrate[(-16 + 136*x - 248*x^2 - 96*x^3 - 256*x^4 + (24 - 120*x + 160*x^2 - 256*x^3)*Log[x] + (-8*x + 32*x^2 + (-8 + 32*x)*Log[x])*Log[x + Log[x]])/(-1594323*x^4 + 2657205*x^5 - 1771470*x^6 + 590490*x^7 - 98415*x^8 + 6561*x^9 + (-1594323*x^3 + 2657205*x^4 - 1771470*x^5 + 590490*x^6 - 98415*x^7 + 6561*x^8)*Log[x] + (2657205*x^4 - 3542940*x^5 + 1771470*x^6 - 393660*x^7 + 32805*x^8 + (2657205*x^3 - 3542940*x^4 + 1771470*x^5 - 393660*x^6 + 32805*x^7)*Log[x])*Log[x + Log[x]] + (-1771470*x^4 + 1771470*x^5 - 590490*x^6 + 65610*x^7 + (-1771470*x^3 + 1771470*x^4 - 590490*x^5 + 65610*x^6)*Log[x])*Log[x + Log[x]]^2 + (590490*x^4 - 393660*x^5 + 65610*x^6 + (590490*x^3 - 393660*x^4 + 65610*x^5)*Log[x])*Log[x + Log[x]]^3 + (-98415*x^4 + 32805*x^5 + (-98415*x^3 + 32805*x^4)*Log[x])*Log[x + Log[x]]^4 + (6561*x^4 + 6561*x^3*Log[x])*Log[x + Log[x]]^5),x]","\frac{4 (4 x-1)^2}{6561 x^2 (x+\log (x+\log (x))-3)^4}","\frac{(8 x-2)^2}{6561 x^2 (x+\log (x+\log (x))-3)^4}",1,"(4*(-1 + 4*x)^2)/(6561*x^2*(-3 + x + Log[x + Log[x]])^4)","A",1
10080,1,17,21,0.1097981,"\int \frac{-2+44 x+2 \log \left(x^2\right)}{-3 x+11 x^2+x \log \left(x^2\right)} \, dx","Integrate[(-2 + 44*x + 2*Log[x^2])/(-3*x + 11*x^2 + x*Log[x^2]),x]","2 \left(\log \left(-\log \left(x^2\right)-11 x+3\right)+\log (x)\right)","\log \left(\left(2 x \left(\log \left(x^2\right)+13 x-3\right)-4 x^2\right)^2\right)",1,"2*(Log[x] + Log[3 - 11*x - Log[x^2]])","A",1
10081,1,21,23,0.1061491,"\int \frac{e^x \left(1-2 x-4 x^2\right)+e^x (-4-5 x) \log (x)+\left(e^x \left(x^2+x^3\right)+e^x \left(x+x^2\right) \log (x)\right) \log \left(\frac{10 x^4+10 x^5}{x+\log (x)}\right)}{\left(x^2+x^3+\left(x+x^2\right) \log (x)\right) \log ^2\left(\frac{10 x^4+10 x^5}{x+\log (x)}\right)} \, dx","Integrate[(E^x*(1 - 2*x - 4*x^2) + E^x*(-4 - 5*x)*Log[x] + (E^x*(x^2 + x^3) + E^x*(x + x^2)*Log[x])*Log[(10*x^4 + 10*x^5)/(x + Log[x])])/((x^2 + x^3 + (x + x^2)*Log[x])*Log[(10*x^4 + 10*x^5)/(x + Log[x])]^2),x]","\frac{e^x}{\log \left(\frac{10 x^4 (x+1)}{x+\log (x)}\right)}","\frac{e^x}{\log \left(\frac{10 x^3 \left(x^2+x\right)}{x+\log (x)}\right)}",1,"E^x/Log[(10*x^4*(1 + x))/(x + Log[x])]","A",1
10082,1,33,21,0.1095038,"\int \frac{\exp \left(\frac{1}{25} \left(25 x^2+10 x \log \left(\log \left(x^2\right)\right)+\log ^2\left(\log \left(x^2\right)\right)\right)\right) \left(60 x+20 x^2+\left(-25 x+150 x^2+50 x^3\right) \log \left(x^2\right)+\left(12+4 x+\left(30 x+10 x^2\right) \log \left(x^2\right)\right) \log \left(\log \left(x^2\right)\right)\right)}{\left(225 x+150 x^2+25 x^3\right) \log \left(x^2\right)} \, dx","Integrate[(E^((25*x^2 + 10*x*Log[Log[x^2]] + Log[Log[x^2]]^2)/25)*(60*x + 20*x^2 + (-25*x + 150*x^2 + 50*x^3)*Log[x^2] + (12 + 4*x + (30*x + 10*x^2)*Log[x^2])*Log[Log[x^2]]))/((225*x + 150*x^2 + 25*x^3)*Log[x^2]),x]","\frac{e^{x^2+\frac{1}{25} \log ^2\left(\log \left(x^2\right)\right)} \log ^{\frac{2 x}{5}}\left(x^2\right)}{x+3}","\frac{e^{\left(\frac{1}{5} \log \left(\log \left(x^2\right)\right)+x\right)^2}}{x+3}",1,"(E^(x^2 + Log[Log[x^2]]^2/25)*Log[x^2]^((2*x)/5))/(3 + x)","A",1
10083,1,54,30,1.733737,"\int \frac{x^5+\exp \left(\frac{e^2-4 e^{26} x+4 e^{50} x^2+\left(2 e x^2-4 e^{25} x^3\right) \log \left(x^2\right)+x^4 \log ^2\left(x^2\right)}{x^4}\right) \left(4 e^2-4 e x^2+8 e^{50} x^2+e^{25} \left(-12 e x+8 x^3\right)+\left(4 e x^2-4 e^{25} x^3-4 x^4\right) \log \left(x^2\right)\right)}{x^5} \, dx","Integrate[(x^5 + E^((E^2 - 4*E^26*x + 4*E^50*x^2 + (2*E*x^2 - 4*E^25*x^3)*Log[x^2] + x^4*Log[x^2]^2)/x^4)*(4*E^2 - 4*E*x^2 + 8*E^50*x^2 + E^25*(-12*E*x + 8*x^3) + (4*E*x^2 - 4*E^25*x^3 - 4*x^4)*Log[x^2]))/x^5,x]","x-\left(x^2\right)^{-\frac{2 e \left(2 e^{24} x-1\right)}{x^2}} e^{\frac{e^2}{x^4}-\frac{4 e^{26}}{x^3}+\frac{4 e^{50}}{x^2}+\log ^2\left(x^2\right)}","-e^{\left(-\frac{e}{x^2}-\log \left(x^2\right)+\frac{2 e^{25}}{x}\right)^2}+x+3",1,"x - E^(E^2/x^4 - (4*E^26)/x^3 + (4*E^50)/x^2 + Log[x^2]^2)/(x^2)^((2*E*(-1 + 2*E^24*x))/x^2)","A",1
10084,1,139,36,7.5554346,"\int \frac{1}{2} \left(4+\exp \left(-\exp \left(-\exp \left(\frac{1}{2} \left(-2 x^2-x^3+\left(-2 x-x^2\right) \log (3)\right)\right)+x\right)+2 x\right) \left(-4+\exp \left(-\exp \left(\frac{1}{2} \left(-2 x^2-x^3+\left(-2 x-x^2\right) \log (3)\right)\right)+x\right) \left(2+\exp \left(\frac{1}{2} \left(-2 x^2-x^3+\left(-2 x-x^2\right) \log (3)\right)\right) \left(4 x+3 x^2+(2+2 x) \log (3)\right)\right)\right)\right) \, dx","Integrate[(4 + E^(-E^(-E^((-2*x^2 - x^3 + (-2*x - x^2)*Log[3])/2) + x) + 2*x)*(-4 + E^(-E^((-2*x^2 - x^3 + (-2*x - x^2)*Log[3])/2) + x)*(2 + E^((-2*x^2 - x^3 + (-2*x - x^2)*Log[3])/2)*(4*x + 3*x^2 + (2 + 2*x)*Log[3]))))/2,x]","\frac{1}{2} \int \left(\exp \left(2 x-\exp \left(x-\exp \left(\frac{1}{2} \left(-x^3-2 x^2+\left(-x^2-2 x\right) \log (3)\right)\right)\right)\right) \left(\exp \left(x-\exp \left(\frac{1}{2} \left(-x^3-2 x^2+\left(-x^2-2 x\right) \log (3)\right)\right)\right) \left(\left(3 x^2+4 x+(2 x+2) \log (3)\right) \exp \left(\frac{1}{2} \left(-x^3-2 x^2+\left(-x^2-2 x\right) \log (3)\right)\right)+2\right)-4\right)+4\right) \, dx","2 x-\exp \left(2 x-e^{x-e^{\frac{1}{2} (-x-2) x (x+\log (3))}}\right)",1,"Integrate[4 + E^(-E^(-E^((-2*x^2 - x^3 + (-2*x - x^2)*Log[3])/2) + x) + 2*x)*(-4 + E^(-E^((-2*x^2 - x^3 + (-2*x - x^2)*Log[3])/2) + x)*(2 + E^((-2*x^2 - x^3 + (-2*x - x^2)*Log[3])/2)*(4*x + 3*x^2 + (2 + 2*x)*Log[3]))), x]/2","F",1
10085,1,24,20,0.2329112,"\int \frac{-5 x^2+x^3+e^x (3+8 x)}{-x^3+e^x \left(x+2 x^2\right)} \, dx","Integrate[(-5*x^2 + x^3 + E^x*(3 + 8*x))/(-x^3 + E^x*(x + 2*x^2)),x]","\log \left(-x^2+2 e^x x+e^x\right)-x+3 \log (x)","\log \left(4 x^3 \left(e^{-x} x^2-2 x-1\right)\right)",1,"-x + 3*Log[x] + Log[E^x + 2*E^x*x - x^2]","A",1
10086,1,25,31,0.9828396,"\int e^{-x} \left(3 e^x x^2+\exp \left(e^{-x} \left(3 x^3+e^x \left(-3 x-3 x^3\right)\right)\right) \left(9 x^4-3 x^5+e^x \left(2 x-3 x^2-9 x^4\right)\right)\right) \, dx","Integrate[(3*E^x*x^2 + E^((3*x^3 + E^x*(-3*x - 3*x^3))/E^x)*(9*x^4 - 3*x^5 + E^x*(2*x - 3*x^2 - 9*x^4)))/E^x,x]","x^2 \left(e^{\left(3 e^{-x}-3\right) x^3-3 x}+x\right)","x^2 \left(e^{3 \left(x^2 \left(e^{-x} x-x\right)-x\right)}+x\right)-4",1,"x^2*(E^(-3*x + (-3 + 3/E^x)*x^3) + x)","A",1
10087,1,32,22,0.0044884,"\int \frac{-15 x+e^3 x \left(-12+138 x+54 x^2\right)}{5 x} \, dx","Integrate[(-15*x + E^3*x*(-12 + 138*x + 54*x^2))/(5*x),x]","\frac{18 e^3 x^3}{5}+\frac{69 e^3 x^2}{5}-\frac{12 e^3 x}{5}-3 x","3 e^3 x (x+4) \left(\frac{x-1}{5}+x\right)-3 x",1,"-3*x - (12*E^3*x)/5 + (69*E^3*x^2)/5 + (18*E^3*x^3)/5","A",1
10088,1,47,33,0.6623149,"\int \frac{\exp \left(\frac{-2 x+(8+3 x-2 (i \pi +\log (-1+2 e))) \log (x)}{2 \log (x)}\right) \left(2-2 \log (x)+3 \log ^2(x)\right)}{-6 \log ^2(x)+2 \exp \left(\frac{-2 x+(8+3 x-2 (i \pi +\log (-1+2 e))) \log (x)}{2 \log (x)}\right) \log ^2(x)} \, dx","Integrate[(E^((-2*x + (8 + 3*x - 2*(I*Pi + Log[-1 + 2*E]))*Log[x])/(2*Log[x]))*(2 - 2*Log[x] + 3*Log[x]^2))/(-6*Log[x]^2 + 2*E^((-2*x + (8 + 3*x - 2*(I*Pi + Log[-1 + 2*E]))*Log[x])/(2*Log[x]))*Log[x]^2),x]","\frac{1}{2} \left(2 \log \left(e^{\frac{3 x}{2}+4}+6 e^{\frac{x}{\log (x)}+1}-3 e^{\frac{x}{\log (x)}}\right)-\frac{2 x}{\log (x)}\right)","\log \left(3-\frac{e^{\frac{3 x}{2}-\frac{x}{\log (x)}-i \pi +4}}{2 e-1}\right)",1,"(2*Log[E^(4 + (3*x)/2) + 6*E^(1 + x/Log[x]) - 3*E^(x/Log[x])] - (2*x)/Log[x])/2","A",1
10089,1,18,20,0.1123567,"\int \frac{-1-2 x}{2 x-2 x^2+x \log \left(\frac{4 \log (\log (\log (5)))}{5 x}\right)} \, dx","Integrate[(-1 - 2*x)/(2*x - 2*x^2 + x*Log[(4*Log[Log[Log[5]]])/(5*x)]),x]","\log \left(-2 x+\log \left(\frac{4 \log (\log (\log (5)))}{5 x}\right)+2\right)","\log \left(-2 x+\log \left(\frac{4 \log (\log (\log (5)))}{5 x}\right)+2\right)-1",1,"Log[2 - 2*x + Log[(4*Log[Log[Log[5]]])/(5*x)]]","A",1
10090,1,26,24,1.8973576,"\int \frac{e^{-\frac{x^2}{1+3 x+e^{4 x} x-x^2-x^3}} \left(-2 x-3 x^2-x^4+e^{4 x} \left(-x^2+4 x^3\right)\right)}{1+6 x+7 x^2+e^{8 x} x^2-8 x^3-5 x^4+2 x^5+x^6+e^{4 x} \left(2 x+6 x^2-2 x^3-2 x^4\right)} \, dx","Integrate[(-2*x - 3*x^2 - x^4 + E^(4*x)*(-x^2 + 4*x^3))/(E^(x^2/(1 + 3*x + E^(4*x)*x - x^2 - x^3))*(1 + 6*x + 7*x^2 + E^(8*x)*x^2 - 8*x^3 - 5*x^4 + 2*x^5 + x^6 + E^(4*x)*(2*x + 6*x^2 - 2*x^3 - 2*x^4))),x]","e^{\frac{x^2}{x^3+x^2-\left(e^{4 x}+3\right) x-1}}","e^{\frac{x}{x^2+x-e^{4 x}-\frac{1}{x}-3}}",1,"E^(x^2/(-1 - (3 + E^(4*x))*x + x^2 + x^3))","A",1
10091,1,32,37,0.8239527,"\int \frac{e^{2 x} \left(-4+2 x-4 x^2+4 x^3+2 x^5+e^{4 x} \left(-2 x^2+6 x^3\right)+e^{2 x} \left(6 x-8 x^2+2 x^3-8 x^4\right)\right) \left(3-\log ^2(3)\right)^2}{x^5} \, dx","Integrate[(E^(2*x)*(-4 + 2*x - 4*x^2 + 4*x^3 + 2*x^5 + E^(4*x)*(-2*x^2 + 6*x^3) + E^(2*x)*(6*x - 8*x^2 + 2*x^3 - 8*x^4))*(3 - Log[3]^2)^2)/x^5,x]","\frac{e^{2 x} \left(x^2-e^{2 x} x+1\right)^2 \left(\log ^2(3)-3\right)^2}{x^4}","\frac{e^{2 x} \left(e^{2 x}-\frac{x^2+1}{x}\right)^2 \left(3-\log ^2(3)\right)^2}{x^2}",1,"(E^(2*x)*(1 - E^(2*x)*x + x^2)^2*(-3 + Log[3]^2)^2)/x^4","A",1
10092,1,43,21,0.1629794,"\int \frac{282-48 x+2 x^2+\left(-24 x+26 x^2-2 x^3+\left(24 x-26 x^2+2 x^3\right) \log \left(\frac{1-2 x+x^2}{x^2}\right)\right) \log \left(-1+\log \left(\frac{1-2 x+x^2}{x^2}\right)\right)}{x-x^2+\left(-x+x^2\right) \log \left(\frac{1-2 x+x^2}{x^2}\right)} \, dx","Integrate[(282 - 48*x + 2*x^2 + (-24*x + 26*x^2 - 2*x^3 + (24*x - 26*x^2 + 2*x^3)*Log[(1 - 2*x + x^2)/x^2])*Log[-1 + Log[(1 - 2*x + x^2)/x^2]])/(x - x^2 + (-x + x^2)*Log[(1 - 2*x + x^2)/x^2]),x]","2 \left(\frac{141}{2} \log \left(1-\log \left(\frac{(x-1)^2}{x^2}\right)\right)+\frac{1}{2} (x-24) x \log \left(\log \left(\frac{(x-1)^2}{x^2}\right)-1\right)\right)","\left((12-x)^2-3\right) \log \left(\log \left(\left(\frac{1}{x}-1\right)^2\right)-1\right)",1,"2*((141*Log[1 - Log[(-1 + x)^2/x^2]])/2 + ((-24 + x)*x*Log[-1 + Log[(-1 + x)^2/x^2]])/2)","B",1
10093,1,32,29,4.0446435,"\int \frac{36 e^{2 e^x} x^2+e^{e^x} \left(-3 e^{2 x} x^2+e^x \left(-6 x+3 x^2\right)\right)}{4 e^{2 x}+e^{e^x+x} \left(-96 x+4 x^2\right)+e^{2 e^x} \left(576 x^2-48 x^3+x^4\right)} \, dx","Integrate[(36*E^(2*E^x)*x^2 + E^E^x*(-3*E^(2*x)*x^2 + E^x*(-6*x + 3*x^2)))/(4*E^(2*x) + E^(E^x + x)*(-96*x + 4*x^2) + E^(2*E^x)*(576*x^2 - 48*x^3 + x^4)),x]","\frac{3 \left(e^x-12 e^{e^x} x\right)}{e^{e^x} (x-24) x+2 e^x}","\frac{x}{-x+\frac{1}{3} \left(x-\frac{4 e^{x-e^x}}{x}\right)+16}",1,"(3*(E^x - 12*E^E^x*x))/(2*E^x + E^E^x*(-24 + x)*x)","A",1
10094,1,19,23,0.0032007,"\int \frac{9-9 e^5-9 x \log ^2(x)}{x \log ^2(x)} \, dx","Integrate[(9 - 9*E^5 - 9*x*Log[x]^2)/(x*Log[x]^2),x]","-9 x+\frac{9 e^5}{\log (x)}-\frac{9}{\log (x)}","9 \left(-x+\frac{e^5-1}{\log (x)}+8-\log (3)+\log (2)\right)",1,"-9*x - 9/Log[x] + (9*E^5)/Log[x]","A",1
10095,1,27,28,0.0028595,"\int \frac{-5-6 x+48 e^2 x^2}{-1-e+\log (5)} \, dx","Integrate[(-5 - 6*x + 48*E^2*x^2)/(-1 - E + Log[5]),x]","\frac{-16 e^2 x^3+3 x^2+5 x}{1+e-\log (5)}","\frac{x \left(4 \left(x-4 e^2 x^2\right)-x+5\right)}{1+e-\log (5)}",1,"(5*x + 3*x^2 - 16*E^2*x^3)/(1 + E - Log[5])","A",1
10096,1,46,28,0.1241164,"\int \frac{8000+4800 x+960 x^2-56 x^3-12 x^4+\left(6000+2400 x+240 x^2-35 x^3\right) \log (x)+(1500+300 x) \log ^2(x)+125 \log ^3(x)}{\left(8000 x+4800 x^2+960 x^3+44 x^4-4 x^5+\left(6000 x+2400 x^2+240 x^3-5 x^4\right) \log (x)+\left(1500 x+300 x^2\right) \log ^2(x)+125 x \log ^3(x)\right) \log \left(\frac{160000 x+128000 x^2+38400 x^3+4320 x^4-64 x^5-32 x^6+x^7+\left(160000 x+96000 x^2+19200 x^3+880 x^4-80 x^5\right) \log (x)+\left(60000 x+24000 x^2+2400 x^3-50 x^4\right) \log ^2(x)+\left(10000 x+2000 x^2\right) \log ^3(x)+625 x \log ^4(x)}{160000+128000 x+38400 x^2+5120 x^3+256 x^4+\left(160000+96000 x+19200 x^2+1280 x^3\right) \log (x)+\left(60000+24000 x+2400 x^2\right) \log ^2(x)+(10000+2000 x) \log ^3(x)+625 \log ^4(x)}\right)} \, dx","Integrate[(8000 + 4800*x + 960*x^2 - 56*x^3 - 12*x^4 + (6000 + 2400*x + 240*x^2 - 35*x^3)*Log[x] + (1500 + 300*x)*Log[x]^2 + 125*Log[x]^3)/((8000*x + 4800*x^2 + 960*x^3 + 44*x^4 - 4*x^5 + (6000*x + 2400*x^2 + 240*x^3 - 5*x^4)*Log[x] + (1500*x + 300*x^2)*Log[x]^2 + 125*x*Log[x]^3)*Log[(160000*x + 128000*x^2 + 38400*x^3 + 4320*x^4 - 64*x^5 - 32*x^6 + x^7 + (160000*x + 96000*x^2 + 19200*x^3 + 880*x^4 - 80*x^5)*Log[x] + (60000*x + 24000*x^2 + 2400*x^3 - 50*x^4)*Log[x]^2 + (10000*x + 2000*x^2)*Log[x]^3 + 625*x*Log[x]^4)/(160000 + 128000*x + 38400*x^2 + 5120*x^3 + 256*x^4 + (160000 + 96000*x + 19200*x^2 + 1280*x^3)*Log[x] + (60000 + 24000*x + 2400*x^2)*Log[x]^2 + (10000 + 2000*x)*Log[x]^3 + 625*Log[x]^4)]),x]","\log \left(\log \left(\frac{x \left(-x^3+16 x^2+160 x+25 \log ^2(x)+40 (x+5) \log (x)+400\right)^2}{(4 (x+5)+5 \log (x))^4}\right)\right)","\log \left(\log \left(\frac{\left(x-\frac{x^4}{(5 (x+\log (x)+4)-x)^2}\right)^2}{x}\right)\right)",1,"Log[Log[(x*(400 + 160*x + 16*x^2 - x^3 + 40*(5 + x)*Log[x] + 25*Log[x]^2)^2)/(4*(5 + x) + 5*Log[x])^4]]","A",1
10097,1,34,23,1.3529539,"\int \frac{e^{2+2 x} \left(216+180 x+36 x^2\right)+e^{3+3 x} \left(-24-36 x-18 x^2-3 x^3\right)}{1728+e^{1+x} \left(2592+2160 x+432 x^2\right)+e^{2+2 x} \left(1296+2160 x+1332 x^2+360 x^3+36 x^4\right)+e^{3+3 x} \left(216+540 x+558 x^2+305 x^3+93 x^4+15 x^5+x^6\right)} \, dx","Integrate[(E^(2 + 2*x)*(216 + 180*x + 36*x^2) + E^(3 + 3*x)*(-24 - 36*x - 18*x^2 - 3*x^3))/(1728 + E^(1 + x)*(2592 + 2160*x + 432*x^2) + E^(2 + 2*x)*(1296 + 2160*x + 1332*x^2 + 360*x^3 + 36*x^4) + E^(3 + 3*x)*(216 + 540*x + 558*x^2 + 305*x^3 + 93*x^4 + 15*x^5 + x^6)),x]","\frac{3 e^{2 x+2} (x+2)^2}{2 \left(e^{x+1} \left(x^2+5 x+6\right)+12\right)^2}","\frac{3}{2 \left(x+\frac{12 e^{-x-1}}{x+2}+3\right)^2}",1,"(3*E^(2 + 2*x)*(2 + x)^2)/(2*(12 + E^(1 + x)*(6 + 5*x + x^2))^2)","A",1
10098,1,39,20,0.018948,"\int \frac{-1387+573 x+812 x^2-199 x^3-190 x^4+9 x^5+17 x^6+2 x^7}{-630+251 x+376 x^2-85 x^3-89 x^4+3 x^5+8 x^6+x^7} \, dx","Integrate[(-1387 + 573*x + 812*x^2 - 199*x^3 - 190*x^4 + 9*x^5 + 17*x^6 + 2*x^7)/(-630 + 251*x + 376*x^2 - 85*x^3 - 89*x^4 + 3*x^5 + 8*x^6 + x^7),x]","-2 \log \left(-x^2-x+5\right)+\log \left(x^5+7 x^4+x^3-55 x^2-25 x+126\right)+2 x","\log \left(\frac{1}{\left(-x^2-x+5\right)^2}+x+5\right)+2 x",1,"2*x - 2*Log[5 - x - x^2] + Log[126 - 25*x - 55*x^2 + x^3 + 7*x^4 + x^5]","A",1
10099,1,32,27,0.4690014,"\int \frac{-4+4 x+7 x^2-8 x^3-2 x^4-e^{2 x} x^4+4 x^5-x^6+e^x \left(-4 x^2+2 x^3+4 x^4-2 x^5\right)+\left(4-4 x-7 x^2+8 x^3+2 x^4+e^{2 x} x^4-4 x^5+x^6+e^x \left(4 x^2-2 x^3-4 x^4+2 x^5\right)\right) \log (x)+\left(6-4 x-5 x^2+6 x^3+2 x^4+e^{2 x} x^4-4 x^5+x^6+e^x \left(3 x^2-3 x^3-4 x^4+2 x^5\right)\right) \log ^2(x)}{\left(4-4 x-7 x^2+8 x^3+2 x^4+e^{2 x} x^4-4 x^5+x^6+e^x \left(4 x^2-2 x^3-4 x^4+2 x^5\right)\right) \log ^2(x)} \, dx","Integrate[(-4 + 4*x + 7*x^2 - 8*x^3 - 2*x^4 - E^(2*x)*x^4 + 4*x^5 - x^6 + E^x*(-4*x^2 + 2*x^3 + 4*x^4 - 2*x^5) + (4 - 4*x - 7*x^2 + 8*x^3 + 2*x^4 + E^(2*x)*x^4 - 4*x^5 + x^6 + E^x*(4*x^2 - 2*x^3 - 4*x^4 + 2*x^5))*Log[x] + (6 - 4*x - 5*x^2 + 6*x^3 + 2*x^4 + E^(2*x)*x^4 - 4*x^5 + x^6 + E^x*(3*x^2 - 3*x^3 - 4*x^4 + 2*x^5))*Log[x]^2)/((4 - 4*x - 7*x^2 + 8*x^3 + 2*x^4 + E^(2*x)*x^4 - 4*x^5 + x^6 + E^x*(4*x^2 - 2*x^3 - 4*x^4 + 2*x^5))*Log[x]^2),x]","\frac{x}{x^3+e^x x^2-2 x^2-x+2}+x+\frac{x}{\log (x)}","\frac{x}{\left(x+e^x-2\right) x^2-x+2}+x+\frac{x}{\log (x)}",1,"x + x/(2 - x - 2*x^2 + E^x*x^2 + x^3) + x/Log[x]","A",1
10100,1,8,8,0.0000689,"\int \frac{1}{2 e^2} \, dx","Integrate[1/(2*E^2),x]","\frac{x}{2 e^2}","\frac{x}{2 e^2}",1,"x/(2*E^2)","A",1
10101,1,13,20,0.0019469,"\int \frac{-2 e^{25/12}-e^{25/12} \log (8)}{x^2} \, dx","Integrate[(-2*E^(25/12) - E^(25/12)*Log[8])/x^2,x]","\frac{e^{25/12} (2+\log (8))}{x}","\frac{x \log (3)+e^{25/12} (x+2+\log (8))}{x}",1,"(E^(25/12)*(2 + Log[8]))/x","A",1
10102,1,56,15,0.0165746,"\int \frac{-2 e^x x+\left(-4-e^x\right) \log \left(16+8 e^x+e^{2 x}\right)}{4+e^x} \, dx","Integrate[(-2*E^x*x + (-4 - E^x)*Log[16 + 8*E^x + E^(2*x)])/(4 + E^x),x]","-2 \text{Li}_2\left(-\frac{e^x}{4}\right)-2 \text{Li}_2\left(\frac{1}{4} \left(4+e^x\right)\right)-2 x \log \left(\frac{e^x}{4}+1\right)-\log \left(-\frac{e^x}{4}\right) \log \left(\left(e^x+4\right)^2\right)","-x \log \left(\left(e^x+4\right)^2\right)-5+\log (5)",1,"-2*x*Log[1 + E^x/4] - Log[-1/4*E^x]*Log[(4 + E^x)^2] - 2*PolyLog[2, -1/4*E^x] - 2*PolyLog[2, (4 + E^x)/4]","C",1
10103,1,43,24,0.1023885,"\int \frac{32-64 x+16 x^2+108 x^4-64 x^5+8 x^6+16 x^8-8 x^9+x^{10}+\left(64-128 x+32 x^2+108 x^4-64 x^5+8 x^6\right) \log (5)+\left(48-96 x+24 x^2+27 x^4-16 x^5+2 x^6\right) \log ^2(5)+\left(16-32 x+8 x^2\right) \log ^3(5)+\left(2-4 x+x^2\right) \log ^4(5)+\left(-28 x^4+8 x^5-8 x^8+2 x^9+\left(-28 x^4+8 x^5\right) \log (5)+\left(-7 x^4+2 x^5\right) \log ^2(5)\right) \log (x)+x^8 \log ^2(x)}{64-64 x+16 x^2+64 x^4-48 x^5+8 x^6+16 x^8-8 x^9+x^{10}+\left(128-128 x+32 x^2+64 x^4-48 x^5+8 x^6\right) \log (5)+\left(96-96 x+24 x^2+16 x^4-12 x^5+2 x^6\right) \log ^2(5)+\left(32-32 x+8 x^2\right) \log ^3(5)+\left(4-4 x+x^2\right) \log ^4(5)+\left(-16 x^4+8 x^5-8 x^8+2 x^9+\left(-16 x^4+8 x^5\right) \log (5)+\left(-4 x^4+2 x^5\right) \log ^2(5)\right) \log (x)+x^8 \log ^2(x)} \, dx","Integrate[(32 - 64*x + 16*x^2 + 108*x^4 - 64*x^5 + 8*x^6 + 16*x^8 - 8*x^9 + x^10 + (64 - 128*x + 32*x^2 + 108*x^4 - 64*x^5 + 8*x^6)*Log[5] + (48 - 96*x + 24*x^2 + 27*x^4 - 16*x^5 + 2*x^6)*Log[5]^2 + (16 - 32*x + 8*x^2)*Log[5]^3 + (2 - 4*x + x^2)*Log[5]^4 + (-28*x^4 + 8*x^5 - 8*x^8 + 2*x^9 + (-28*x^4 + 8*x^5)*Log[5] + (-7*x^4 + 2*x^5)*Log[5]^2)*Log[x] + x^8*Log[x]^2)/(64 - 64*x + 16*x^2 + 64*x^4 - 48*x^5 + 8*x^6 + 16*x^8 - 8*x^9 + x^10 + (128 - 128*x + 32*x^2 + 64*x^4 - 48*x^5 + 8*x^6)*Log[5] + (96 - 96*x + 24*x^2 + 16*x^4 - 12*x^5 + 2*x^6)*Log[5]^2 + (32 - 32*x + 8*x^2)*Log[5]^3 + (4 - 4*x + x^2)*Log[5]^4 + (-16*x^4 + 8*x^5 - 8*x^8 + 2*x^9 + (-16*x^4 + 8*x^5)*Log[5] + (-4*x^4 + 2*x^5)*Log[5]^2)*Log[x] + x^8*Log[x]^2),x]","\frac{x (2+\log (5))^2}{x^5-4 x^4+x^4 \log (x)+x (2+\log (5))^2-2 (2+\log (5))^2}+x","\frac{x}{\frac{x^4 (x+\log (x)-4)}{(2+\log (5))^2}+x-2}+x",1,"x + (x*(2 + Log[5])^2)/(-4*x^4 + x^5 - 2*(2 + Log[5])^2 + x*(2 + Log[5])^2 + x^4*Log[x])","A",1
10104,1,31,30,0.1094893,"\int \frac{-162-657 x-260 x^2+1379 x^3+1254 x^4+410 x^5+58 x^6+3 x^7+e^{-\frac{1}{-9-25 x-10 x^2-x^3+3 \log (x)}} \left(6-50 x-40 x^2-6 x^3\right)+\left(108+138 x-330 x^2-168 x^3-18 x^4\right) \log (x)+(-18+27 x) \log ^2(x)}{81 x+450 x^2+805 x^3+518 x^4+150 x^5+20 x^6+x^7+\left(-54 x-150 x^2-60 x^3-6 x^4\right) \log (x)+9 x \log ^2(x)} \, dx","Integrate[(-162 - 657*x - 260*x^2 + 1379*x^3 + 1254*x^4 + 410*x^5 + 58*x^6 + 3*x^7 + (6 - 50*x - 40*x^2 - 6*x^3)/E^(-9 - 25*x - 10*x^2 - x^3 + 3*Log[x])^(-1) + (108 + 138*x - 330*x^2 - 168*x^3 - 18*x^4)*Log[x] + (-18 + 27*x)*Log[x]^2)/(81*x + 450*x^2 + 805*x^3 + 518*x^4 + 150*x^5 + 20*x^6 + x^7 + (-54*x - 150*x^2 - 60*x^3 - 6*x^4)*Log[x] + 9*x*Log[x]^2),x]","2 e^{\frac{1}{x^3+10 x^2+25 x-3 \log (x)+9}}+3 x-2 \log (x)","x+2 \left(x+e^{\frac{1}{x (x+5)^2+3 (3-\log (x))}}-\log (x)\right)",1,"2*E^(9 + 25*x + 10*x^2 + x^3 - 3*Log[x])^(-1) + 3*x - 2*Log[x]","A",1
10105,1,8,15,0.001707,"\int \frac{-5+x}{-3+x} \, dx","Integrate[(-5 + x)/(-3 + x),x]","x-2 \log (x-3)","x-2 \log (x-3)-\frac{10}{\log (\log (2))}",1,"x - 2*Log[-3 + x]","A",1
10106,1,29,28,0.5284628,"\int \frac{8+16 x+10 x^2+2 x^3+\exp \left(3 \exp \left(25^{\frac{2 (3+x)}{6+3 x}}+2\ 25^{\frac{3+x}{6+3 x}} x+x^2\right)\right) \left(4+4 x+x^2+\exp \left(25^{\frac{2 (3+x)}{6+3 x}}+2\ 25^{\frac{3+x}{6+3 x}} x+x^2\right) \left(24 x^2+24 x^3+6 x^4-2\ 25^{\frac{2 (3+x)}{6+3 x}} x \log (25)+25^{\frac{3+x}{6+3 x}} \left(24 x+24 x^2+6 x^3-2 x^2 \log (25)\right)\right)\right)}{4+4 x+x^2} \, dx","Integrate[(8 + 16*x + 10*x^2 + 2*x^3 + E^(3*E^(25^((2*(3 + x))/(6 + 3*x)) + 2*25^((3 + x)/(6 + 3*x))*x + x^2))*(4 + 4*x + x^2 + E^(25^((2*(3 + x))/(6 + 3*x)) + 2*25^((3 + x)/(6 + 3*x))*x + x^2)*(24*x^2 + 24*x^3 + 6*x^4 - 2*25^((2*(3 + x))/(6 + 3*x))*x*Log[25] + 25^((3 + x)/(6 + 3*x))*(24*x + 24*x^2 + 6*x^3 - 2*x^2*Log[25]))))/(4 + 4*x + x^2),x]","x \left(x+e^{3 e^{\left(x+5^{\frac{2 (x+3)}{3 (x+2)}}\right)^2}}+2\right)","x \left(x+e^{3 e^{\left(x+25^{\frac{1}{\frac{x}{x+3}+2}}\right)^2}}+2\right)",1,"x*(2 + E^(3*E^(5^((2*(3 + x))/(3*(2 + x))) + x)^2) + x)","A",1
10107,1,44,32,0.2701963,"\int \frac{\exp \left(\frac{3 x-9 e x-3 x^3+\left(3 e x+x^3\right) \log \left(x^2\right)}{-9 e+3 e \log \left(x^2\right)}\right) \left(-20 x+36 x^3+e (36+36 x)+\left(e (-24-24 x)+4 x-24 x^3\right) \log \left(x^2\right)+\left(4 x^3+e (4+4 x)\right) \log ^2\left(x^2\right)\right)}{9 e-6 e \log \left(x^2\right)+e \log ^2\left(x^2\right)} \, dx","Integrate[(E^((3*x - 9*E*x - 3*x^3 + (3*E*x + x^3)*Log[x^2])/(-9*E + 3*E*Log[x^2]))*(-20*x + 36*x^3 + E*(36 + 36*x) + (E*(-24 - 24*x) + 4*x - 24*x^3)*Log[x^2] + (4*x^3 + E*(4 + 4*x))*Log[x^2]^2))/(9*E - 6*E*Log[x^2] + E*Log[x^2]^2),x]","4 x \exp \left(\frac{x \left(\left(x^2+3 e\right) \log \left(x^2\right)-3 \left(x^2+3 e-1\right)\right)}{3 e \left(\log \left(x^2\right)-3\right)}\right)","4 x e^{x-\frac{\frac{x}{3-\log \left(x^2\right)}-\frac{x^3}{3}}{e}}",1,"4*E^((x*(-3*(-1 + 3*E + x^2) + (3*E + x^2)*Log[x^2]))/(3*E*(-3 + Log[x^2])))*x","A",1
10108,1,16,20,0.0072549,"\int \left(5-2 x-2 e^{x^2} x\right) \, dx","Integrate[5 - 2*x - 2*E^x^2*x,x]","-x^2-e^{x^2}+5 x","-e^{x^2}+(4-x) x+x+e^6+4",1,"-E^x^2 + 5*x - x^2","A",1
10109,1,33,24,0.0760878,"\int \frac{e^{e^{\frac{1}{4} (1+4 x)}} \left(6-8 x+2 x^2+e^{\frac{1}{4} (1+4 x)} \left(4 x-6 x^2+x^3\right)+\left(2-2 x+e^{\frac{1}{4} (1+4 x)} \left(6 x-2 x^2\right)\right) \log (x)+e^{\frac{1}{4} (1+4 x)} x \log ^2(x)\right)}{2 x} \, dx","Integrate[(E^E^((1 + 4*x)/4)*(6 - 8*x + 2*x^2 + E^((1 + 4*x)/4)*(4*x - 6*x^2 + x^3) + (2 - 2*x + E^((1 + 4*x)/4)*(6*x - 2*x^2))*Log[x] + E^((1 + 4*x)/4)*x*Log[x]^2))/(2*x),x]","\frac{1}{2} e^{e^{x+\frac{1}{4}}} \left(x^2-6 x+\log ^2(x)+(6-2 x) \log (x)+4\right)","\frac{1}{2} e^{e^{x+\frac{1}{4}}} \left((-x+\log (x)+3)^2-5\right)",1,"(E^E^(1/4 + x)*(4 - 6*x + x^2 + (6 - 2*x)*Log[x] + Log[x]^2))/2","A",1
10110,1,15,19,0.0031767,"\int \frac{-2+e^8 (-14-4 x)}{e^8} \, dx","Integrate[(-2 + E^8*(-14 - 4*x))/E^8,x]","-2 x^2-\frac{2 x}{e^8}-14 x","\frac{2 (3-x) x \left(x+\frac{1}{e^8}+7\right)}{x-3}",1,"-14*x - (2*x)/E^8 - 2*x^2","A",1
10111,1,35,31,0.129673,"\int \frac{32 e^{8 x} x+2 x^4+\left(-120 x^3-6 x^4+e^{8 x} \left(3840-15168 x-768 x^2\right)+\left(40 x^3+2 x^4+e^{8 x} \left(-1280+5056 x+256 x^2\right)\right) \log \left(\frac{3}{20+x}\right)\right) \log \left(3-\log \left(\frac{3}{20+x}\right)\right)}{\left(-60 x^4-3 x^5+e^{8 x} \left(-960 x-48 x^2\right)+\left(20 x^4+x^5+e^{8 x} \left(320 x+16 x^2\right)\right) \log \left(\frac{3}{20+x}\right)\right) \log \left(3-\log \left(\frac{3}{20+x}\right)\right)} \, dx","Integrate[(32*E^(8*x)*x + 2*x^4 + (-120*x^3 - 6*x^4 + E^(8*x)*(3840 - 15168*x - 768*x^2) + (40*x^3 + 2*x^4 + E^(8*x)*(-1280 + 5056*x + 256*x^2))*Log[3/(20 + x)])*Log[3 - Log[3/(20 + x)]])/((-60*x^4 - 3*x^5 + E^(8*x)*(-960*x - 48*x^2) + (20*x^4 + x^5 + E^(8*x)*(320*x + 16*x^2))*Log[3/(20 + x)])*Log[3 - Log[3/(20 + x)]]),x]","2 \left(\log \left(x^3+16 e^{8 x}\right)-2 \log (x)-\log \left(\log \left(3-\log \left(\frac{3}{x+20}\right)\right)\right)\right)","2 \log \left(\frac{\frac{16 e^{8 x}}{x^2}+x}{\log \left(3-\log \left(\frac{3}{x+20}\right)\right)}\right)",1,"2*(-2*Log[x] + Log[16*E^(8*x) + x^3] - Log[Log[3 - Log[3/(20 + x)]]])","A",1
10112,-1,0,30,180.016976,"\int \frac{-2 e^{x+2 e^{-x} \left(-2 x+2 x^2\right)} x-50 e^x x^3+e^{e^{-x} \left(-2 x+2 x^2\right)} \left(-4 x+12 x^2-4 x^3+e^x \left(-2+20 x^2\right)\right)}{e^{x+2 e^{-x} \left(-2 x+2 x^2\right)} x^4+e^{x+e^{-x} \left(-2 x+2 x^2\right)} \left(4 x^3-10 x^5\right)+e^x \left(4 x^2-20 x^4+25 x^6\right)} \, dx","Integrate[(-2*E^(x + (2*(-2*x + 2*x^2))/E^x)*x - 50*E^x*x^3 + E^((-2*x + 2*x^2)/E^x)*(-4*x + 12*x^2 - 4*x^3 + E^x*(-2 + 20*x^2)))/(E^(x + (2*(-2*x + 2*x^2))/E^x)*x^4 + E^(x + (-2*x + 2*x^2)/E^x)*(4*x^3 - 10*x^5) + E^x*(4*x^2 - 20*x^4 + 25*x^6)),x]","\text{\$Aborted}","\frac{1}{x^2+\frac{2}{\frac{e^{e^{-x} x (2 x-2)}}{x}-5}}",1,"$Aborted","F",-1
10113,1,27,23,0.2717393,"\int \frac{\exp \left(\frac{1}{3} \left(6+e^2\right)+e^{\frac{1}{3} \left(6+e^2\right)} (259-x)\right)}{4+4 e^{e^{\frac{1}{3} \left(6+e^2\right)} (259-x)}+e^{2 e^{\frac{1}{3} \left(6+e^2\right)} (259-x)}} \, dx","Integrate[E^((6 + E^2)/3 + E^((6 + E^2)/3)*(259 - x))/(4 + 4*E^(E^((6 + E^2)/3)*(259 - x)) + E^(2*E^((6 + E^2)/3)*(259 - x))),x]","-\frac{1}{2 \left(2 e^{e^{2+\frac{e^2}{3}} (x-259)}+1\right)}","\frac{1}{e^{e^{2+\frac{e^2}{3}} (259-x)}+2}",1,"-1/2*1/(1 + 2*E^(E^(2 + E^2/3)*(-259 + x)))","A",1
10114,1,28,29,0.0084185,"\int \frac{e^2 (27-9 x)-2 \log \left(\frac{\log (2)}{(-6+2 x) \log (6)}\right)}{e^2 (-27+9 x)} \, dx","Integrate[(E^2*(27 - 9*x) - 2*Log[Log[2]/((-6 + 2*x)*Log[6])])/(E^2*(-27 + 9*x)),x]","\frac{\log ^2\left(\frac{\log (2)}{(2 x-6) \log (6)}\right)}{9 e^2}-x","\frac{\log ^2\left(\frac{\log (2)}{2 (x-3) \log (6)}\right)}{9 e^2}-x",1,"-x + Log[Log[2]/((-6 + 2*x)*Log[6])]^2/(9*E^2)","A",1
10115,1,37,26,0.6451217,"\int \frac{e^{1-2 e^x+e^{2 x}} \left(40+80 e^x x-80 e^{2 x} x\right)}{225 e^{2-4 e^x+2 e^{2 x}}-540 e^{1-2 e^x+e^{2 x}} x+324 x^2} \, dx","Integrate[(E^(1 - 2*E^x + E^(2*x))*(40 + 80*E^x*x - 80*E^(2*x)*x))/(225*E^(2 - 4*E^x + 2*E^(2*x)) - 540*E^(1 - 2*E^x + E^(2*x))*x + 324*x^2),x]","\frac{40 e^{e^{2 x}+1}}{9 \left(30 e^{e^{2 x}+1}-36 e^{2 e^x} x\right)}","\frac{4}{9 \left(\frac{5 e^{\left(1-e^x\right)^2}}{2 x}-3\right)}",1,"(40*E^(1 + E^(2*x)))/(9*(30*E^(1 + E^(2*x)) - 36*E^(2*E^x)*x))","A",1
10116,1,36,31,3.3158379,"\int \frac{\exp \left(\frac{-942080000-1040384000 x-455411200 x^2-98920960 x^3-10674689 x^4-458240 x^5}{40960000+32768000 x+9830400 x^2+1310720 x^3+65536 x^4}\right) \left(-358400000-358240000 x-143248000 x^2-28643205 x^3-2864000 x^4-114560 x^5\right)}{51200000+51200000 x+20480000 x^2+4096000 x^3+409600 x^4+16384 x^5} \, dx","Integrate[(E^((-942080000 - 1040384000*x - 455411200*x^2 - 98920960*x^3 - 10674689*x^4 - 458240*x^5)/(40960000 + 32768000*x + 9830400*x^2 + 1310720*x^3 + 65536*x^4))*(-358400000 - 358240000*x - 143248000*x^2 - 28643205*x^3 - 2864000*x^4 - 114560*x^5))/(51200000 + 51200000*x + 20480000*x^2 + 4096000*x^3 + 409600*x^4 + 16384*x^5),x]","\exp \left(-\frac{458240 x^5+10674689 x^4+98920960 x^3+455411200 x^2+1040384000 x+942080000}{65536 (x+5)^4}\right)","e^{x^2-\left(\frac{x^2}{256 (x+5)^2}-x-5\right)^2+3 x+2}",1,"E^(-1/65536*(942080000 + 1040384000*x + 455411200*x^2 + 98920960*x^3 + 10674689*x^4 + 458240*x^5)/(5 + x)^4)","A",1
10117,1,588,26,41.6682901,"\int \frac{12 x-24 x^2+8 x^3+3 x^4+e^6 \left(7-12 x+3 x^2+2 x^3\right)+\left(26 x-22 x^2-6 x^3+e^6 \left(14-10 x-4 x^2\right)\right) \log (3)+\left(14 x+3 x^2+e^6 (7+2 x)\right) \log ^2(3)}{-2+4 x+4 x^2-12 x^3+5 x^4+x^5+e^6 \left(7 x-13 x^2+5 x^3+x^4\right)+\left(-4+4 x+13 x^2-12 x^3-2 x^4+e^6 \left(14 x-12 x^2-2 x^3\right)\right) \log (3)+\left(-2+7 x^2+x^3+e^6 \left(7 x+x^2\right)\right) \log ^2(3)} \, dx","Integrate[(12*x - 24*x^2 + 8*x^3 + 3*x^4 + E^6*(7 - 12*x + 3*x^2 + 2*x^3) + (26*x - 22*x^2 - 6*x^3 + E^6*(14 - 10*x - 4*x^2))*Log[3] + (14*x + 3*x^2 + E^6*(7 + 2*x))*Log[3]^2)/(-2 + 4*x + 4*x^2 - 12*x^3 + 5*x^4 + x^5 + E^6*(7*x - 13*x^2 + 5*x^3 + x^4) + (-4 + 4*x + 13*x^2 - 12*x^3 - 2*x^4 + E^6*(14*x - 12*x^2 - 2*x^3))*Log[3] + (-2 + 7*x^2 + x^3 + E^6*(7*x + x^2))*Log[3]^2),x]","\text{RootSum}\left[\text{$\#$1}^5+e^6 \text{$\#$1}^4+5 \text{$\#$1}^4-\text{$\#$1}^4 \log (9)+5 e^6 \text{$\#$1}^3-12 \text{$\#$1}^3+\text{$\#$1}^3 \log ^2(3)-e^6 \text{$\#$1}^3 \log (9)-12 \text{$\#$1}^3 \log (3)-13 e^6 \text{$\#$1}^2+4 \text{$\#$1}^2+e^6 \text{$\#$1}^2 \log ^2(3)+7 \text{$\#$1}^2 \log ^2(3)-12 e^6 \text{$\#$1}^2 \log (3)+13 \text{$\#$1}^2 \log (3)+7 e^6 \text{$\#$1}+4 \text{$\#$1}+7 e^6 \text{$\#$1} \log ^2(3)+\text{$\#$1} \log (81)+14 e^6 \text{$\#$1} \log (3)-2-2 \log ^2(3)-4 \log (3)\&,\frac{3 \text{$\#$1}^4 \log (x-\text{$\#$1})-6 \text{$\#$1}^3 \log (3) \log (x-\text{$\#$1})+2 e^6 \text{$\#$1}^3 \log (x-\text{$\#$1})+8 \text{$\#$1}^3 \log (x-\text{$\#$1})+3 \text{$\#$1}^2 \log ^2(3) \log (x-\text{$\#$1})-4 e^6 \text{$\#$1}^2 \log (3) \log (x-\text{$\#$1})-22 \text{$\#$1}^2 \log (3) \log (x-\text{$\#$1})+3 e^6 \text{$\#$1}^2 \log (x-\text{$\#$1})-24 \text{$\#$1}^2 \log (x-\text{$\#$1})+2 e^6 \text{$\#$1} \log ^2(3) \log (x-\text{$\#$1})+14 \text{$\#$1} \log ^2(3) \log (x-\text{$\#$1})+7 e^6 \log ^2(3) \log (x-\text{$\#$1})-10 e^6 \text{$\#$1} \log (3) \log (x-\text{$\#$1})+26 \text{$\#$1} \log (3) \log (x-\text{$\#$1})-12 e^6 \text{$\#$1} \log (x-\text{$\#$1})+12 \text{$\#$1} \log (x-\text{$\#$1})+14 e^6 \log (3) \log (x-\text{$\#$1})+7 e^6 \log (x-\text{$\#$1})}{5 \text{$\#$1}^4+4 e^6 \text{$\#$1}^3+20 \text{$\#$1}^3-4 \text{$\#$1}^3 \log (9)+15 e^6 \text{$\#$1}^2-36 \text{$\#$1}^2+3 \text{$\#$1}^2 \log ^2(3)-3 e^6 \text{$\#$1}^2 \log (9)-36 \text{$\#$1}^2 \log (3)-26 e^6 \text{$\#$1}+8 \text{$\#$1}+2 e^6 \text{$\#$1} \log ^2(3)+14 \text{$\#$1} \log ^2(3)-24 e^6 \text{$\#$1} \log (3)+26 \text{$\#$1} \log (3)+7 e^6+4+7 e^6 \log ^2(3)+\log (81)+14 e^6 \log (3)}\&\right]","\log \left(x \left((x+7) \left(x+e^6\right)+\frac{x}{x-1-\log (3)}\right)-2\right)",1,"RootSum[-2 - 4*Log[3] - 2*Log[3]^2 + 4*#1 + 7*E^6*#1 + 14*E^6*Log[3]*#1 + 7*E^6*Log[3]^2*#1 + Log[81]*#1 + 4*#1^2 - 13*E^6*#1^2 + 13*Log[3]*#1^2 - 12*E^6*Log[3]*#1^2 + 7*Log[3]^2*#1^2 + E^6*Log[3]^2*#1^2 - 12*#1^3 + 5*E^6*#1^3 - 12*Log[3]*#1^3 + Log[3]^2*#1^3 - E^6*Log[9]*#1^3 + 5*#1^4 + E^6*#1^4 - Log[9]*#1^4 + #1^5 & , (7*E^6*Log[x - #1] + 14*E^6*Log[3]*Log[x - #1] + 7*E^6*Log[3]^2*Log[x - #1] + 12*Log[x - #1]*#1 - 12*E^6*Log[x - #1]*#1 + 26*Log[3]*Log[x - #1]*#1 - 10*E^6*Log[3]*Log[x - #1]*#1 + 14*Log[3]^2*Log[x - #1]*#1 + 2*E^6*Log[3]^2*Log[x - #1]*#1 - 24*Log[x - #1]*#1^2 + 3*E^6*Log[x - #1]*#1^2 - 22*Log[3]*Log[x - #1]*#1^2 - 4*E^6*Log[3]*Log[x - #1]*#1^2 + 3*Log[3]^2*Log[x - #1]*#1^2 + 8*Log[x - #1]*#1^3 + 2*E^6*Log[x - #1]*#1^3 - 6*Log[3]*Log[x - #1]*#1^3 + 3*Log[x - #1]*#1^4)/(4 + 7*E^6 + 14*E^6*Log[3] + 7*E^6*Log[3]^2 + Log[81] + 8*#1 - 26*E^6*#1 + 26*Log[3]*#1 - 24*E^6*Log[3]*#1 + 14*Log[3]^2*#1 + 2*E^6*Log[3]^2*#1 - 36*#1^2 + 15*E^6*#1^2 - 36*Log[3]*#1^2 + 3*Log[3]^2*#1^2 - 3*E^6*Log[9]*#1^2 + 20*#1^3 + 4*E^6*#1^3 - 4*Log[9]*#1^3 + 5*#1^4) & ]","C",1
10118,1,30,29,0.0248362,"\int \frac{10 x^2+2 e^3 x^3+2 e^3 \log (x)-e^3 \log ^2(x)}{2 e^3 x^2 \log (2)} \, dx","Integrate[(10*x^2 + 2*E^3*x^3 + 2*E^3*Log[x] - E^3*Log[x]^2)/(2*E^3*x^2*Log[2]),x]","\frac{e^3 x^2+10 x+\frac{e^3 \log ^2(x)}{x}}{e^3 \log (4)}","\frac{\left(x+\frac{5}{e^3}\right)^2+\frac{\log ^2(x)}{x}+1}{2 \log (2)}+e",1,"(10*x + E^3*x^2 + (E^3*Log[x]^2)/x)/(E^3*Log[4])","A",1
10119,1,11,11,0.0000786,"\int \frac{3 x^2}{2 \log (28)} \, dx","Integrate[(3*x^2)/(2*Log[28]),x]","\frac{x^3}{2 \log (28)}","\frac{x^3}{2 \log (28)}",1,"x^3/(2*Log[28])","A",1
10120,1,14,12,0.00457,"\int \frac{e^{11+x} (1+2 \log (3))}{\log (3)} \, dx","Integrate[(E^(11 + x)*(1 + 2*Log[3]))/Log[3],x]","\frac{e^{x+11} (1+\log (9))}{\log (3)}","e^{x+11} \left(2+\frac{1}{\log (3)}\right)",1,"(E^(11 + x)*(1 + Log[9]))/Log[3]","A",1
10121,1,21,23,0.3899114,"\int \frac{3+e^{5+x} (-18+6 e+6 x)}{32+2 e^2-16 x+2 x^2+e (-16+4 x)+e^{5+x} \left(128+8 e^2-64 x+8 x^2+e (-64+16 x)\right)+e^{10+2 x} \left(128+8 e^2-64 x+8 x^2+e (-64+16 x)\right)} \, dx","Integrate[(3 + E^(5 + x)*(-18 + 6*E + 6*x))/(32 + 2*E^2 - 16*x + 2*x^2 + E*(-16 + 4*x) + E^(5 + x)*(128 + 8*E^2 - 64*x + 8*x^2 + E*(-64 + 16*x)) + E^(10 + 2*x)*(128 + 8*E^2 - 64*x + 8*x^2 + E*(-64 + 16*x))),x]","-\frac{3}{2 \left(2 e^{x+5}+1\right) (x+e-4)}","\frac{3}{\left(4 e^{x+5}+2\right) (-x-e+4)}",1,"-3/(2*(1 + 2*E^(5 + x))*(-4 + E + x))","A",1
10122,1,33,30,0.8996176,"\int \frac{(10-4 x) (i \pi +\log (2))^2+e^{e^{3+x}+e^3 x} \left(-2 e^{3+x} x (i \pi +\log (2))^2+\left(-2-2 e^3 x\right) (i \pi +\log (2))^2\right)}{-125 x^3+e^{3 e^{3+x}+3 e^3 x} x^3+75 x^4-15 x^5+x^6+e^{2 e^{3+x}+2 e^3 x} \left(-15 x^3+3 x^4\right)+e^{e^{3+x}+e^3 x} \left(75 x^3-30 x^4+3 x^5\right)} \, dx","Integrate[((10 - 4*x)*(I*Pi + Log[2])^2 + E^(E^(3 + x) + E^3*x)*(-2*E^(3 + x)*x*(I*Pi + Log[2])^2 + (-2 - 2*E^3*x)*(I*Pi + Log[2])^2))/(-125*x^3 + E^(3*E^(3 + x) + 3*E^3*x)*x^3 + 75*x^4 - 15*x^5 + x^6 + E^(2*E^(3 + x) + 2*E^3*x)*(-15*x^3 + 3*x^4) + E^(E^(3 + x) + E^3*x)*(75*x^3 - 30*x^4 + 3*x^5)),x]","-\frac{(\pi -i \log (2))^2}{x^2 \left(x+e^{e^3 x+e^{x+3}}-5\right)^2}","\frac{(\log (2)+i \pi )^2}{x^2 \left(x+e^{e^3 \left(x+e^x\right)}-5\right)^2}",1,"-((Pi - I*Log[2])^2/(x^2*(-5 + E^(E^(3 + x) + E^3*x) + x)^2))","A",1
10123,1,20,20,0.3965475,"\int \frac{7 x^2+(12+4 x) \log ^3(5 x) \log (3+x)+\log ^4(5 x) (-x+(-3-x) \log (3+x))}{147 x^2+49 x^3+\left(-42 x-14 x^2\right) \log ^4(5 x)+(3+x) \log ^8(5 x)} \, dx","Integrate[(7*x^2 + (12 + 4*x)*Log[5*x]^3*Log[3 + x] + Log[5*x]^4*(-x + (-3 - x)*Log[3 + x]))/(147*x^2 + 49*x^3 + (-42*x - 14*x^2)*Log[5*x]^4 + (3 + x)*Log[5*x]^8),x]","\frac{x \log (x+3)}{7 x-\log ^4(5 x)}","\frac{x \log (x+3)}{7 x-\log ^4(5 x)}",1,"(x*Log[3 + x])/(7*x - Log[5*x]^4)","A",1
10124,1,21,21,2.9127783,"\int \frac{e^x \left(18-18 x+27 x^2-3 x^3+e^5 \left(-75 x+15 x^2\right)\right)}{-7776 x^2-6480 x^4-2160 x^6+3125 e^{25} x^7-360 x^8-30 x^{10}-x^{12}+e^{20} \left(-18750 x^6-3125 x^8\right)+e^{15} \left(45000 x^5+15000 x^7+1250 x^9\right)+e^{10} \left(-54000 x^4-27000 x^6-4500 x^8-250 x^{10}\right)+e^5 \left(32400 x^3+21600 x^5+5400 x^7+600 x^9+25 x^{11}\right)} \, dx","Integrate[(E^x*(18 - 18*x + 27*x^2 - 3*x^3 + E^5*(-75*x + 15*x^2)))/(-7776*x^2 - 6480*x^4 - 2160*x^6 + 3125*E^25*x^7 - 360*x^8 - 30*x^10 - x^12 + E^20*(-18750*x^6 - 3125*x^8) + E^15*(45000*x^5 + 15000*x^7 + 1250*x^9) + E^10*(-54000*x^4 - 27000*x^6 - 4500*x^8 - 250*x^10) + E^5*(32400*x^3 + 21600*x^5 + 5400*x^7 + 600*x^9 + 25*x^11)),x]","\frac{3 e^x}{x \left(x^2-5 e^5 x+6\right)^4}","\frac{3 e^x}{x \left(x^2-5 e^5 x+6\right)^4}",1,"(3*E^x)/(x*(6 - 5*E^5*x + x^2)^4)","A",1
10125,1,42,23,0.1197691,"\int \frac{-128-384 x-256 x^2+e^{2 x} \left(-128 x^2+640 x^4+512 x^5\right)+e^{4 x} \left(-32 x^4+96 x^5+128 x^6\right)+\left(-256-256 x+e^{2 x} \left(128 x^2+1152 x^3+1024 x^4\right)+e^{4 x} \left(128 x^4+128 x^5\right)\right) \log (x)+e^{2 x} \left(512 x^2+512 x^3\right) \log ^2(x)}{e^{4 x} x^8+3 e^{4 x} x^7 \log (x)+3 e^{4 x} x^6 \log ^2(x)+e^{4 x} x^5 \log ^3(x)} \, dx","Integrate[(-128 - 384*x - 256*x^2 + E^(2*x)*(-128*x^2 + 640*x^4 + 512*x^5) + E^(4*x)*(-32*x^4 + 96*x^5 + 128*x^6) + (-256 - 256*x + E^(2*x)*(128*x^2 + 1152*x^3 + 1024*x^4) + E^(4*x)*(128*x^4 + 128*x^5))*Log[x] + E^(2*x)*(512*x^2 + 512*x^3)*Log[x]^2)/(E^(4*x)*x^8 + 3*E^(4*x)*x^7*Log[x] + 3*E^(4*x)*x^6*Log[x]^2 + E^(4*x)*x^5*Log[x]^3),x]","\frac{16 \left(x^2+2 e^{-2 x}\right) \left(x^2-8 x^2 (x+\log (x))+2 e^{-2 x}\right)}{x^4 (x+\log (x))^2}","\left(\frac{\frac{8 e^{-2 x}}{x^2}+4}{x+\log (x)}-16\right)^2",1,"(16*(2/E^(2*x) + x^2)*(2/E^(2*x) + x^2 - 8*x^2*(x + Log[x])))/(x^4*(x + Log[x])^2)","A",1
10126,1,12,12,0.0071069,"\int \frac{2 e^x+e^x x \log \left(x^2\right) \log \left(\log \left(x^2\right)\right)}{2 x \log \left(x^2\right)} \, dx","Integrate[(2*E^x + E^x*x*Log[x^2]*Log[Log[x^2]])/(2*x*Log[x^2]),x]","\frac{1}{2} e^x \log \left(\log \left(x^2\right)\right)","\frac{1}{2} e^x \log \left(\log \left(x^2\right)\right)",1,"(E^x*Log[Log[x^2]])/2","A",1
10127,1,33,32,0.0838739,"\int \frac{135 x-7 x^2-4 x^3+e^3 \left(10 x-2 x^2\right)+\left(-135 x+44 x^2+4 x^3+e^3 \left(-150+50 x+4 x^2\right)\right) \log \left(27 x+2 x^2+e^3 (30+2 x)\right)}{675 x^3-220 x^4+7 x^5+2 x^6+e^3 \left(750 x^2-250 x^3+10 x^4+2 x^5\right)+\left(270 x^2-34 x^3-4 x^4+e^3 \left(300 x-40 x^2-4 x^3\right)\right) \log \left(27 x+2 x^2+e^3 (30+2 x)\right)+\left(27 x+2 x^2+e^3 (30+2 x)\right) \log ^2\left(27 x+2 x^2+e^3 (30+2 x)\right)} \, dx","Integrate[(135*x - 7*x^2 - 4*x^3 + E^3*(10*x - 2*x^2) + (-135*x + 44*x^2 + 4*x^3 + E^3*(-150 + 50*x + 4*x^2))*Log[27*x + 2*x^2 + E^3*(30 + 2*x)])/(675*x^3 - 220*x^4 + 7*x^5 + 2*x^6 + E^3*(750*x^2 - 250*x^3 + 10*x^4 + 2*x^5) + (270*x^2 - 34*x^3 - 4*x^4 + E^3*(300*x - 40*x^2 - 4*x^3))*Log[27*x + 2*x^2 + E^3*(30 + 2*x)] + (27*x + 2*x^2 + E^3*(30 + 2*x))*Log[27*x + 2*x^2 + E^3*(30 + 2*x)]^2),x]","\frac{(x-5) x}{-x^2+5 x+\log \left(2 e^3 (x+15)+x (2 x+27)\right)}","\frac{x}{\frac{\log \left(x \left(\frac{2 (x+15) \left(x+e^3\right)}{x}-3\right)\right)}{x-5}-x}",1,"((-5 + x)*x)/(5*x - x^2 + Log[2*E^3*(15 + x) + x*(27 + 2*x)])","A",1
10128,1,154,22,0.1471493,"\int \frac{3+\left(-25+24 x+4 x^2\right) \log (3)}{-9-3 x+\left(12-17 x+5 x^2+4 x^3\right) \log (3)} \, dx","Integrate[(3 + (-25 + 24*x + 4*x^2)*Log[3])/(-9 - 3*x + (12 - 17*x + 5*x^2 + 4*x^3)*Log[3]),x]","\frac{\frac{\left(84 \log ^2(3)-3 \log (81)+\log (3) (101 \log (81)-12)\right) \log \left(x^2 (-\log (81))+7 x \log (3)+3-\log (81)\right)}{\log (81)}+2 (3-61 \log (3)) \log (x+3)-\frac{6 (7 \log (3)-1) \left(28 \log ^2(3)-6 \log ^2(81)+17 \log (3) \log (81)\right) \tanh ^{-1}\left(\frac{2 x \log (81)-7 \log (3)}{\sqrt{49 \log ^2(3)-4 (\log (81)-3) \log (81)}}\right)}{\log (81) \sqrt{49 \log ^2(3)-4 (\log (81)-3) \log (81)}}}{2 (-3+21 \log (3)+10 \log (81))}","\log \left(\frac{4 (x-1)^2+x-\frac{3}{\log (3)}}{x+3}\right)",1,"((-6*ArcTanh[(-7*Log[3] + 2*x*Log[81])/Sqrt[49*Log[3]^2 - 4*(-3 + Log[81])*Log[81]]]*(-1 + 7*Log[3])*(28*Log[3]^2 + 17*Log[3]*Log[81] - 6*Log[81]^2))/(Log[81]*Sqrt[49*Log[3]^2 - 4*(-3 + Log[81])*Log[81]]) + 2*(3 - 61*Log[3])*Log[3 + x] + ((84*Log[3]^2 - 3*Log[81] + Log[3]*(-12 + 101*Log[81]))*Log[3 + 7*x*Log[3] - Log[81] - x^2*Log[81]])/Log[81])/(2*(-3 + 21*Log[3] + 10*Log[81]))","B",1
10129,1,28,28,0.1264116,"\int \frac{e^{4 \log ^2(x)} \left(2+(16-8 x) \log (x)+e^{e^{1+2 x}+x} \left(1-x-2 e^{1+2 x} x+8 \log (x)\right)\right)}{4+e^{2 e^{1+2 x}+2 x}+e^{e^{1+2 x}+x} (4-2 x)-4 x+x^2} \, dx","Integrate[(E^(4*Log[x]^2)*(2 + (16 - 8*x)*Log[x] + E^(E^(1 + 2*x) + x)*(1 - x - 2*E^(1 + 2*x)*x + 8*Log[x])))/(4 + E^(2*E^(1 + 2*x) + 2*x) + E^(E^(1 + 2*x) + x)*(4 - 2*x) - 4*x + x^2),x]","\frac{x e^{4 \log ^2(x)}}{-x+e^{x+e^{2 x+1}}+2}","\frac{x e^{4 \log ^2(x)}}{-x+e^{x+e^{2 x+1}}+2}",1,"(E^(4*Log[x]^2)*x)/(2 + E^(E^(1 + 2*x) + x) - x)","A",1
10130,1,7,11,0.0205103,"\int \frac{1+\log (x)}{-2+x \log (x)} \, dx","Integrate[(1 + Log[x])/(-2 + x*Log[x]),x]","\log (x \log (x)-2)","\log (2-x \log (x))+\log (2)",1,"Log[-2 + x*Log[x]]","A",1
10131,1,25,25,0.071717,"\int \frac{\left(7 x-7 x^3\right) \log (x)+\left(28 x-28 x^2\right) \log ^2(x)+\left(2-2 x^2+4 x^2 \log (x)+8 x \log ^2(x)\right) \log \left(\frac{1-x^2+(4-4 x) \log (x)}{4 \log (x)}\right)}{\left(-x+x^3\right) \log (x)+\left(-4 x+4 x^2\right) \log ^2(x)} \, dx","Integrate[((7*x - 7*x^3)*Log[x] + (28*x - 28*x^2)*Log[x]^2 + (2 - 2*x^2 + 4*x^2*Log[x] + 8*x*Log[x]^2)*Log[(1 - x^2 + (4 - 4*x)*Log[x])/(4*Log[x])])/((-x + x^3)*Log[x] + (-4*x + 4*x^2)*Log[x]^2),x]","\log ^2\left(-\frac{(x-1) (x+4 \log (x)+1)}{4 \log (x)}\right)-7 x","\log ^2\left(-\frac{x^2-1}{4 \log (x)}-x+1\right)-7 x",1,"-7*x + Log[-1/4*((-1 + x)*(1 + x + 4*Log[x]))/Log[x]]^2","A",1
10132,1,34,34,0.2925575,"\int \frac{-20 x+12 e^{x/5} x+\left(-60 e^{x/5}+20 x\right) \log \left(\frac{1}{4} \left(-3 e^{2+\frac{x}{5}} \log (2)+e^2 x \log (2)\right)\right) \log \left(\log \left(\frac{1}{4} \left(-3 e^{2+\frac{x}{5}} \log (2)+e^2 x \log (2)\right)\right)\right) \log \left(\log \left(\log \left(\frac{1}{4} \left(-3 e^{2+\frac{x}{5}} \log (2)+e^2 x \log (2)\right)\right)\right)\right)+\left(15 e^{x/5}-5 x\right) \log \left(\frac{1}{4} \left(-3 e^{2+\frac{x}{5}} \log (2)+e^2 x \log (2)\right)\right) \log \left(\log \left(\frac{1}{4} \left(-3 e^{2+\frac{x}{5}} \log (2)+e^2 x \log (2)\right)\right)\right) \log ^2\left(\log \left(\log \left(\frac{1}{4} \left(-3 e^{2+\frac{x}{5}} \log (2)+e^2 x \log (2)\right)\right)\right)\right)}{\left(60 e^{x/5}-20 x\right) \log \left(\frac{1}{4} \left(-3 e^{2+\frac{x}{5}} \log (2)+e^2 x \log (2)\right)\right) \log \left(\log \left(\frac{1}{4} \left(-3 e^{2+\frac{x}{5}} \log (2)+e^2 x \log (2)\right)\right)\right) \log ^2\left(\log \left(\log \left(\frac{1}{4} \left(-3 e^{2+\frac{x}{5}} \log (2)+e^2 x \log (2)\right)\right)\right)\right)} \, dx","Integrate[(-20*x + 12*E^(x/5)*x + (-60*E^(x/5) + 20*x)*Log[(-3*E^(2 + x/5)*Log[2] + E^2*x*Log[2])/4]*Log[Log[(-3*E^(2 + x/5)*Log[2] + E^2*x*Log[2])/4]]*Log[Log[Log[(-3*E^(2 + x/5)*Log[2] + E^2*x*Log[2])/4]]] + (15*E^(x/5) - 5*x)*Log[(-3*E^(2 + x/5)*Log[2] + E^2*x*Log[2])/4]*Log[Log[(-3*E^(2 + x/5)*Log[2] + E^2*x*Log[2])/4]]*Log[Log[Log[(-3*E^(2 + x/5)*Log[2] + E^2*x*Log[2])/4]]]^2)/((60*E^(x/5) - 20*x)*Log[(-3*E^(2 + x/5)*Log[2] + E^2*x*Log[2])/4]*Log[Log[(-3*E^(2 + x/5)*Log[2] + E^2*x*Log[2])/4]]*Log[Log[Log[(-3*E^(2 + x/5)*Log[2] + E^2*x*Log[2])/4]]]^2),x]","\frac{x}{4}-\frac{x}{\log \left(\log \left(\log \left(x-3 e^{x/5}\right)+2+\log \left(\frac{\log (2)}{4}\right)\right)\right)}","\frac{x}{4}-\frac{x}{\log \left(\log \left(\log \left(\frac{1}{4} e^2 \left(x-3 e^{x/5}\right) \log (2)\right)\right)\right)}",1,"x/4 - x/Log[Log[2 + Log[-3*E^(x/5) + x] + Log[Log[2]/4]]]","A",1
10133,1,27,31,0.0237374,"\int \frac{e^{5+2 x} (3-2 x)+2 x^4-e^5 x^4-e^x x^4}{x^4} \, dx","Integrate[(E^(5 + 2*x)*(3 - 2*x) + 2*x^4 - E^5*x^4 - E^x*x^4)/x^4,x]","-\frac{e^{2 x+5}}{x^3}-e^5 x+2 x-e^x","-\frac{e^5 \left(x^2+\frac{e^{2 x}}{x^2}\right)}{x}+2 x-e^x+3",1,"-E^x - E^(5 + 2*x)/x^3 + 2*x - E^5*x","A",1
10134,1,30,27,0.2779896,"\int \frac{-5 x-4 x^2+x^3+e^{7+x} \left(4+3 x-x^2\right)+\left(-8-10 x+3 x^2+e^{7+x} \left(4 x+3 x^2-x^3\right)\right) \log (x)+\left(-4-3 x+x^2\right) \log (1+x)}{-4 x-3 x^2+x^3} \, dx","Integrate[(-5*x - 4*x^2 + x^3 + E^(7 + x)*(4 + 3*x - x^2) + (-8 - 10*x + 3*x^2 + E^(7 + x)*(4*x + 3*x^2 - x^3))*Log[x] + (-4 - 3*x + x^2)*Log[1 + x])/(-4*x - 3*x^2 + x^3),x]","x+\log ^2(x)-e^{x+7} \log (x)+\log (x+1) \log (x)-\log (4-x)","x-\log (4-x)+\log (x) \left(-e^{x+7}+\log (x)+\log (x+1)\right)",1,"x - Log[4 - x] - E^(7 + x)*Log[x] + Log[x]^2 + Log[x]*Log[1 + x]","A",1
10135,1,30,32,4.1881783,"\int \frac{e^{\frac{8-e^{-1-x+x^2}+4 x}{80+80 x^2+20 x^4}} \left(8-32 x-12 x^2+e^{-1-x+x^2} \left(2+x^2-2 x^3\right)\right)}{160+240 x^2+120 x^4+20 x^6} \, dx","Integrate[(E^((8 - E^(-1 - x + x^2) + 4*x)/(80 + 80*x^2 + 20*x^4))*(8 - 32*x - 12*x^2 + E^(-1 - x + x^2)*(2 + x^2 - 2*x^3)))/(160 + 240*x^2 + 120*x^4 + 20*x^6),x]","e^{\frac{-e^{x^2-x-1}+4 x+8}{20 \left(x^2+2\right)^2}}","e^{\frac{-\frac{1}{4} e^{x^2-x-1}+x+2}{5 \left(x^2+2\right)^2}}-10",1,"E^((8 - E^(-1 - x + x^2) + 4*x)/(20*(2 + x^2)^2))","A",1
10136,1,13,13,0.0517761,"\int \frac{e^3 (-1-x) \left(e^{-1+x} \left(-3 e^{1-x}+x\right)\right)^{e^3}}{3 e^{1-x}-x} \, dx","Integrate[(E^3*(-1 - x)*(E^(-1 + x)*(-3*E^(1 - x) + x))^E^3)/(3*E^(1 - x) - x),x]","\left(e^{x-1} x-3\right)^{e^3}","\left(e^{x-1} x-3\right)^{e^3}",1,"(-3 + E^(-1 + x)*x)^E^3","A",1
10137,1,14,16,0.0073674,"\int \frac{-6 \log (x)-3 \log ^2(x)}{-7+e^2} \, dx","Integrate[(-6*Log[x] - 3*Log[x]^2)/(-7 + E^2),x]","-\frac{3 x \log ^2(x)}{e^2-7}","\frac{3 x \log ^2(x)}{7-e^2}",1,"(-3*x*Log[x]^2)/(-7 + E^2)","A",1
10138,1,17,15,0.0181861,"\int \frac{18 x^3+e^{\frac{20+9 x^2}{9 x^2}} \left(-40+9 x^2\right)}{9 x^2} \, dx","Integrate[(18*x^3 + E^((20 + 9*x^2)/(9*x^2))*(-40 + 9*x^2))/(9*x^2),x]","x^2+e^{\frac{20}{9 x^2}+1} x","x \left(e^{\frac{20}{9 x^2}+1}+x\right)",1,"E^(1 + 20/(9*x^2))*x + x^2","A",1
10139,1,27,23,0.149892,"\int \frac{e^{-x} \left(e^x (-5-8 x)-6 x+2 x^2+\left(-6 x-8 e^x x+10 x^2-2 x^3\right) \log (x)\right)}{2 x} \, dx","Integrate[(E^x*(-5 - 8*x) - 6*x + 2*x^2 + (-6*x - 8*E^x*x + 10*x^2 - 2*x^3)*Log[x])/(2*E^x*x),x]","x \left(e^{-x} x-3 e^{-x}-4\right) \log (x)-\frac{5 \log (x)}{2}","\left(e^{-x} \left(x^2-3 x\right)-4 x-\frac{5}{2}\right) \log (x)",1,"(-5*Log[x])/2 + x*(-4 - 3/E^x + x/E^x)*Log[x]","A",1
10140,1,24,22,0.2818205,"\int \frac{33-4 x+12 x^3+3 \log \left(\frac{x^2}{2}\right)}{27 x-2 x^2+3 x^4+3 x \log \left(\frac{x^2}{2}\right)} \, dx","Integrate[(33 - 4*x + 12*x^3 + 3*Log[x^2/2])/(27*x - 2*x^2 + 3*x^4 + 3*x*Log[x^2/2]),x]","\log \left(3 x^3+3 \log \left(\frac{x^2}{2}\right)-2 x+27\right)+\log (x)","\log \left(x \left(x \left(x^2-\frac{2}{3}\right)+\log \left(\frac{x^2}{2}\right)+9\right)\right)",1,"Log[x] + Log[27 - 2*x + 3*x^3 + 3*Log[x^2/2]]","A",1
10141,1,23,27,0.0922864,"\int \frac{6+x^2+\left(6+x^2\right) \log \left(24+4 x^2\right)+\frac{e^{e^2+x} \left(-6+2 x-x^2+\left(-6-x^2\right) \log \left(24+4 x^2\right)\right)}{1+\log \left(24+4 x^2\right)}}{6+x^2+\left(6+x^2\right) \log \left(24+4 x^2\right)} \, dx","Integrate[(6 + x^2 + (6 + x^2)*Log[24 + 4*x^2] + (E^(E^2 + x)*(-6 + 2*x - x^2 + (-6 - x^2)*Log[24 + 4*x^2]))/(1 + Log[24 + 4*x^2]))/(6 + x^2 + (6 + x^2)*Log[24 + 4*x^2]),x]","x-\frac{e^{x+e^2}}{\log \left(4 \left(x^2+6\right)\right)+1}","-\frac{e^{x+e^2}}{\log \left(4 \left(x^2+6\right)\right)+1}+x-\log (2)",1,"x - E^(E^2 + x)/(1 + Log[4*(6 + x^2)])","A",1
10142,1,40,17,0.0166066,"\int \frac{-150000 e^{10} x^2+390625 x^3}{4096 e^{30}-96000 e^{20} x+750000 e^{10} x^2-1953125 x^3} \, dx","Integrate[(-150000*E^10*x^2 + 390625*x^3)/(4096*E^30 - 96000*E^20*x + 750000*E^10*x^2 - 1953125*x^3),x]","-\frac{1953125 x^3-750000 e^{10} x^2+192000 e^{20} x-12288 e^{30}}{625 \left(16 e^{10}-125 x\right)^2}","-\frac{5 x}{\left(\frac{16 e^{10}}{25 x}-5\right)^2}",1,"-1/625*(-12288*E^30 + 192000*E^20*x - 750000*E^10*x^2 + 1953125*x^3)/(16*E^10 - 125*x)^2","B",1
10143,0,0,30,13.528243,"\int \exp \left(-4+x-x^2-2 x^2 \log (2) \log (5)-e^{2 x} \log ^2(5)-x^2 \log ^2(2) \log ^2(5)+e^x \left(2 x \log (5)+2 x \log (2) \log ^2(5)\right)\right) \left(3 x-2 x^2+\left(4 x-4 x^2\right) \log (2) \log (5)+e^{2 x} (2-2 x) \log ^2(5)+\left(2 x-2 x^2\right) \log ^2(2) \log ^2(5)+e^x \left(\left(-2+2 x^2\right) \log (5)+\left(-2+2 x^2\right) \log (2) \log ^2(5)\right)\right) \, dx","Integrate[E^(-4 + x - x^2 - 2*x^2*Log[2]*Log[5] - E^(2*x)*Log[5]^2 - x^2*Log[2]^2*Log[5]^2 + E^x*(2*x*Log[5] + 2*x*Log[2]*Log[5]^2))*(3*x - 2*x^2 + (4*x - 4*x^2)*Log[2]*Log[5] + E^(2*x)*(2 - 2*x)*Log[5]^2 + (2*x - 2*x^2)*Log[2]^2*Log[5]^2 + E^x*((-2 + 2*x^2)*Log[5] + (-2 + 2*x^2)*Log[2]*Log[5]^2)),x]","\int \exp \left(-4+x-x^2-2 x^2 \log (2) \log (5)-e^{2 x} \log ^2(5)-x^2 \log ^2(2) \log ^2(5)+e^x \left(2 x \log (5)+2 x \log (2) \log ^2(5)\right)\right) \left(3 x-2 x^2+\left(4 x-4 x^2\right) \log (2) \log (5)+e^{2 x} (2-2 x) \log ^2(5)+\left(2 x-2 x^2\right) \log ^2(2) \log ^2(5)+e^x \left(\left(-2+2 x^2\right) \log (5)+\left(-2+2 x^2\right) \log (2) \log ^2(5)\right)\right) \, dx","(x-1) e^{x-\left(x+x \log (5) \left(\log (2)-\frac{e^x}{x}\right)\right)^2-4}",1,"Integrate[E^(-4 + x - x^2 - 2*x^2*Log[2]*Log[5] - E^(2*x)*Log[5]^2 - x^2*Log[2]^2*Log[5]^2 + E^x*(2*x*Log[5] + 2*x*Log[2]*Log[5]^2))*(3*x - 2*x^2 + (4*x - 4*x^2)*Log[2]*Log[5] + E^(2*x)*(2 - 2*x)*Log[5]^2 + (2*x - 2*x^2)*Log[2]^2*Log[5]^2 + E^x*((-2 + 2*x^2)*Log[5] + (-2 + 2*x^2)*Log[2]*Log[5]^2)), x]","F",-1
10144,1,22,22,0.0896923,"\int \frac{-4 x \log (x)+8 \log \left(\frac{4}{\log ^2(x)}\right)-2 \log (x) \log ^2\left(\frac{4}{\log ^2(x)}\right)+\left(2 x \log (x)+2 \log (x) \log ^2\left(\frac{4}{\log ^2(x)}\right)\right) \log \left(\frac{2}{x^2+x \log ^2\left(\frac{4}{\log ^2(x)}\right)}\right)}{x \log (x)+\log (x) \log ^2\left(\frac{4}{\log ^2(x)}\right)} \, dx","Integrate[(-4*x*Log[x] + 8*Log[4/Log[x]^2] - 2*Log[x]*Log[4/Log[x]^2]^2 + (2*x*Log[x] + 2*Log[x]*Log[4/Log[x]^2]^2)*Log[2/(x^2 + x*Log[4/Log[x]^2]^2)])/(x*Log[x] + Log[x]*Log[4/Log[x]^2]^2),x]","2 x \log \left(\frac{2}{x \left(x+\log ^2\left(\frac{4}{\log ^2(x)}\right)\right)}\right)","2 x \log \left(\frac{2}{x \left(x+\log ^2\left(\frac{4}{\log ^2(x)}\right)\right)}\right)",1,"2*x*Log[2/(x*(x + Log[4/Log[x]^2]^2))]","A",1
10145,1,26,26,0.1143814,"\int \frac{x^2+e^{\frac{-25-9 x-e^2 x-e^x x+3 x^2+x \log (x)}{x}} \left(25+x+3 x^2-e^x x^2\right)}{x^2} \, dx","Integrate[(x^2 + E^((-25 - 9*x - E^2*x - E^x*x + 3*x^2 + x*Log[x])/x)*(25 + x + 3*x^2 - E^x*x^2))/x^2,x]","\left(e^{3 x-e^x-\frac{25}{x}-e^2-9}+1\right) x","e^{3 x-e^x-\frac{25}{x}-e^2-9} x+x",1,"(1 + E^(-9 - E^2 - E^x - 25/x + 3*x))*x","A",1
10146,1,19,18,0.0023312,"\int \frac{1}{5} \left(e^2 (-18-4 x)+6 e^2 \log (3)\right) \, dx","Integrate[(E^2*(-18 - 4*x) + 6*E^2*Log[3])/5,x]","-\frac{2}{5} e^2 \left(x^2+9 x-3 x \log (3)\right)","\frac{2}{5} e^2 x (3 (\log (3)-3)-x)",1,"(-2*E^2*(9*x + x^2 - 3*x*Log[3]))/5","A",1
10147,1,34,28,0.211876,"\int \frac{-225-300 \log (2)+(-60 x+75 \log (2)) \log \left(49 x^4\right)+\left(-4 x^2+20 x \log (2)\right) \log ^2\left(49 x^4\right)}{225 x^2+60 x^3 \log \left(49 x^4\right)+4 x^4 \log ^2\left(49 x^4\right)} \, dx","Integrate[(-225 - 300*Log[2] + (-60*x + 75*Log[2])*Log[49*x^4] + (-4*x^2 + 20*x*Log[2])*Log[49*x^4]^2)/(225*x^2 + 60*x^3*Log[49*x^4] + 4*x^4*Log[49*x^4]^2),x]","\frac{(2 x-5 \log (2)) \log \left(49 x^4\right)+15}{x \left(2 x \log \left(49 x^4\right)+15\right)}","\frac{1-\frac{\log (2)}{\frac{3}{\log \left(49 x^4\right)}+\frac{2 x}{5}}}{x}",1,"(15 + (2*x - 5*Log[2])*Log[49*x^4])/(x*(15 + 2*x*Log[49*x^4]))","A",1
10148,1,56,32,1.9921892,"\int \frac{\exp \left(-\frac{-5 x+e^5 x+\left(-5+e^5\right) \log (x)+\log \left(\frac{x}{\log (x)}\right)}{x+\log (x)}\right) \left(\exp \left(\frac{-5 x+e^5 x+\left(-5+e^5\right) \log (x)+\log \left(\frac{x}{\log (x)}\right)}{x+\log (x)}\right) \left(x^2 \log (x)+2 x \log ^2(x)+\log ^3(x)\right)+\exp \left(\exp \left(-\frac{-5 x+e^5 x+\left(-5+e^5\right) \log (x)+\log \left(\frac{x}{\log (x)}\right)}{x+\log (x)}\right) \left(-2 \exp \left(\frac{-5 x+e^5 x+\left(-5+e^5\right) \log (x)+\log \left(\frac{x}{\log (x)}\right)}{x+\log (x)}\right)+x\right)\right) \left(x+\left(1-x+x^2\right) \log (x)+(-1+2 x) \log ^2(x)+\log ^3(x)+(1+x) \log (x) \log \left(\frac{x}{\log (x)}\right)\right)\right)}{x^2 \log (x)+2 x \log ^2(x)+\log ^3(x)} \, dx","Integrate[(E^((-5*x + E^5*x + (-5 + E^5)*Log[x] + Log[x/Log[x]])/(x + Log[x]))*(x^2*Log[x] + 2*x*Log[x]^2 + Log[x]^3) + E^((-2*E^((-5*x + E^5*x + (-5 + E^5)*Log[x] + Log[x/Log[x]])/(x + Log[x])) + x)/E^((-5*x + E^5*x + (-5 + E^5)*Log[x] + Log[x/Log[x]])/(x + Log[x])))*(x + (1 - x + x^2)*Log[x] + (-1 + 2*x)*Log[x]^2 + Log[x]^3 + (1 + x)*Log[x]*Log[x/Log[x]]))/(E^((-5*x + E^5*x + (-5 + E^5)*Log[x] + Log[x/Log[x]])/(x + Log[x]))*(x^2*Log[x] + 2*x*Log[x]^2 + Log[x]^3)),x]","\exp \left(x \left(\frac{x}{\log (x)}\right)^{-\frac{1}{x+\log (x)}} \exp \left(\frac{\left(5-e^5\right) \log (x)}{x+\log (x)}-\frac{\left(e^5-5\right) x}{x+\log (x)}\right)-2\right)+x","x+e^{x e^{-\frac{\log \left(\frac{x}{\log (x)}\right)}{x+\log (x)}-e^5+5}-2}",1,"E^(-2 + (E^(-(((-5 + E^5)*x)/(x + Log[x])) + ((5 - E^5)*Log[x])/(x + Log[x]))*x)/(x/Log[x])^(x + Log[x])^(-1)) + x","A",1
10149,1,34,30,1.1216994,"\int \frac{-2 x^3+e^{2 x} \left(32-50 x+16 x^2\right)+e^x \left(-32 x+52 x^2-16 x^3\right)+\left(e^{2 x} \left(-8+12 x-4 x^2\right)+e^x \left(8 x-12 x^2+4 x^3\right)\right) \log (96-48 x)}{-2 x^3+x^4} \, dx","Integrate[(-2*x^3 + E^(2*x)*(32 - 50*x + 16*x^2) + E^x*(-32*x + 52*x^2 - 16*x^3) + (E^(2*x)*(-8 + 12*x - 4*x^2) + E^x*(8*x - 12*x^2 + 4*x^3))*Log[96 - 48*x])/(-2*x^3 + x^4),x]","2 \left(-\frac{e^x \left(e^x-2 x\right) (\log (-48 (x-2))-4)}{x^2}-\log (2-x)\right)","\frac{2 \left(e^x-x\right)^2 (4-\log (16 (3 (1-x)+3)))}{x^2}",1,"2*(-Log[2 - x] - (E^x*(E^x - 2*x)*(-4 + Log[-48*(-2 + x)]))/x^2)","A",1
10150,1,37,33,0.0422381,"\int \frac{32-512 x-240 x^2+128 x^3+64 x^4+e^{4 x} \left(2-40 x+53 x^2+12 x^3-44 x^4-16 x^5\right)}{32 x-272 x^2-16 x^3+192 x^4+64 x^5+e^{4 x} \left(2 x-17 x^2-x^3+12 x^4+4 x^5\right)} \, dx","Integrate[(32 - 512*x - 240*x^2 + 128*x^3 + 64*x^4 + E^(4*x)*(2 - 40*x + 53*x^2 + 12*x^3 - 44*x^4 - 16*x^5))/(32*x - 272*x^2 - 16*x^3 + 192*x^4 + 64*x^5 + E^(4*x)*(2*x - 17*x^2 - x^3 + 12*x^4 + 4*x^5)),x]","\log \left(-4 x^2-8 x+1\right)-\log \left(-x^2-x+2\right)-\log \left(e^{4 x}+16\right)+\log (x)","\log \left(\frac{5 \left(4 x^2-\frac{x}{x+2}\right)}{\left(e^{4 x}+16\right) (1-x)}\right)",1,"-Log[16 + E^(4*x)] + Log[x] + Log[1 - 8*x - 4*x^2] - Log[2 - x - x^2]","A",1
10151,1,33,29,0.0179213,"\int \frac{64 x^3+e^2 \left(3+192 x^3-40 x^4+6 x^5\right)}{4 e^2} \, dx","Integrate[(64*x^3 + E^2*(3 + 192*x^3 - 40*x^4 + 6*x^5))/(4*E^2),x]","\frac{x^6}{4}-2 x^5+\frac{4 \left(1+3 e^2\right) x^4}{e^2}+\frac{3 x}{4}","\frac{1}{4} x \left(\left(x^2-4 \left(2 \left(x-\frac{2}{e^2}-4\right)-4\right)\right) x^3+3\right)",1,"(3*x)/4 + (4*(1 + 3*E^2)*x^4)/E^2 - 2*x^5 + x^6/4","A",1
10152,1,28,28,0.0325465,"\int \frac{-3 x+\left(48-144 x+108 x^2-24 x^3+4 e^5 \left(-48+48 x-12 x^2\right)\right) \log (x)+\left(-48 x+48 x^2-12 x^3\right) \log ^2(x)}{4 x-4 x^2+x^3} \, dx","Integrate[(-3*x + (48 - 144*x + 108*x^2 - 24*x^3 + 4*E^5*(-48 + 48*x - 12*x^2))*Log[x] + (-48*x + 48*x^2 - 12*x^3)*Log[x]^2)/(4*x - 4*x^2 + x^3),x]","\frac{3}{x-2}-12 x \log ^2(x)+6 \left(1-4 e^5\right) \log ^2(x)","\frac{3}{x-2}-2 \left(3 \left(2 x+4 e^5\right)-3\right) \log ^2(x)+4",1,"3/(-2 + x) + 6*(1 - 4*E^5)*Log[x]^2 - 12*x*Log[x]^2","A",1
10153,1,22,25,0.0015007,"\int \left(4-2 x+3 x^2+e (-2+4 x)\right) \, dx","Integrate[4 - 2*x + 3*x^2 + E*(-2 + 4*x),x]","x^3+2 e x^2-x^2-2 e x+4 x","(x+2 e) \left(x^2-x+4\right)-e^{e^2}+e^4",1,"4*x - 2*E*x - x^2 + 2*E*x^2 + x^3","A",1
10154,1,29,30,0.1083928,"\int \frac{e^{x/5} \left(e^4 (-5+x)-10 x+5 x^2+x^3\right)-e^{x/5} x^2 \log \left(\frac{x^2}{4096}\right)}{5 x^2} \, dx","Integrate[(E^(x/5)*(E^4*(-5 + x) - 10*x + 5*x^2 + x^3) - E^(x/5)*x^2*Log[x^2/4096])/(5*x^2),x]","\frac{e^{x/5} \left(x^2-x \log \left(\frac{x^2}{4096}\right)+e^4\right)}{x}","\frac{e^{x/5} \left(e^4-x \left(\log \left(\frac{x^2}{4096}\right)-x\right)\right)}{x}",1,"(E^(x/5)*(E^4 + x^2 - x*Log[x^2/4096]))/x","A",1
10155,1,21,27,0.0117916,"\int \frac{8-6 x-x \log (4)}{-4 x+6 x^2+80 x^3+x^2 \log (4)} \, dx","Integrate[(8 - 6*x - x*Log[4])/(-4*x + 6*x^2 + 80*x^3 + x^2*Log[4]),x]","\log \left(-80 x^2-6 x-x \log (4)+4\right)-2 \log (x)","\log \left(8 \left(\frac{x+\frac{1}{4} (2 x+x \log (4)-4)}{4 x^2}+5\right)\right)",1,"-2*Log[x] + Log[4 - 6*x - 80*x^2 - x*Log[4]]","A",1
10156,1,26,24,0.12308,"\int \frac{e^2 \left(-4 e^{4+\frac{e^2}{8 x^2}}+288 e^{-2+2 x} x^3+e^{\frac{e^2}{16 x^2}} \left(-12 e^{2+x}+96 e^x x^3\right)\right)}{144 x^3} \, dx","Integrate[(E^2*(-4*E^(4 + E^2/(8*x^2)) + 288*E^(-2 + 2*x)*x^3 + E^(E^2/(16*x^2))*(-12*E^(2 + x) + 96*E^x*x^3)))/(144*x^3),x]","\frac{1}{9} \left(e^{\frac{e^2}{16 x^2}+2}+3 e^x\right)^2","\left(\frac{1}{3} e^{\frac{e^2}{16 x^2}+2}+e^x\right)^2",1,"(E^(2 + E^2/(16*x^2)) + 3*E^x)^2/9","A",1
10157,1,32,33,0.3437599,"\int \frac{\left(-20-20 x^2-5 x^4\right) \log (3)+e^{-4 e^x+4 x+4 x^2} \left(e^x \left(-32 x-16 x^3\right) \log (3)+\left(8+32 x+60 x^2+16 x^3+32 x^4\right) \log (3)\right)}{16+16 x^2+4 x^4} \, dx","Integrate[((-20 - 20*x^2 - 5*x^4)*Log[3] + E^(-4*E^x + 4*x + 4*x^2)*(E^x*(-32*x - 16*x^3)*Log[3] + (8 + 32*x + 60*x^2 + 16*x^3 + 32*x^4)*Log[3]))/(16 + 16*x^2 + 4*x^4),x]","\frac{1}{4} x \left(\frac{4 e^{4 x (x+1)-4 e^x}}{x^2+2}-5\right) \log (3)","\left(\frac{e^{4 \left(x^2+x-e^x\right)}}{x+\frac{2}{x}}-\frac{5 x}{4}\right) \log (3)",1,"(x*(-5 + (4*E^(-4*E^x + 4*x*(1 + x)))/(2 + x^2))*Log[3])/4","A",1
10158,1,20,20,0.0056335,"\int \frac{e^{x/4} (-128+16 x)+e^{x/4} (-8+x) \log \left(\frac{\log (2)}{4}\right)}{4 x^3} \, dx","Integrate[(E^(x/4)*(-128 + 16*x) + E^(x/4)*(-8 + x)*Log[Log[2]/4])/(4*x^3),x]","\frac{e^{x/4} \left(16+\log \left(\frac{\log (2)}{4}\right)\right)}{x^2}","\frac{e^{x/4} \left(16+\log \left(\frac{\log (2)}{4}\right)\right)}{x^2}",1,"(E^(x/4)*(16 + Log[Log[2]/4]))/x^2","A",1
10159,1,32,26,0.0358966,"\int \frac{-4-12 x-12 x^2-20 x^3+\left(4 x+8 x^2+12 x^3\right) \log \left(\frac{4}{x+x^2}\right)}{x} \, dx","Integrate[(-4 - 12*x - 12*x^2 - 20*x^3 + (4*x + 8*x^2 + 12*x^3)*Log[4/(x + x^2)])/x,x]","4 x \left(x^2+x+1\right) \left(\log \left(\frac{4}{x^2+x}\right)-1\right)-4 \log (x)-4 \log (x+1)","\left(\left(x^2+x\right) x+x+1\right) \left(4 \log \left(\frac{4}{x (x+1)}\right)-4\right)",1,"-4*Log[x] - 4*Log[1 + x] + 4*x*(1 + x + x^2)*(-1 + Log[4/(x + x^2)])","A",1
10160,1,31,32,0.5995623,"\int \frac{5+15 x-10 x^2-30 x^3+\left(20+5 x^2+5 \log \left(\frac{\log ^4(4)}{x}\right)\right) \log \left(4+x^2+\log \left(\frac{\log ^4(4)}{x}\right)\right)+\left(8+48 x+74 x^2+12 x^3+18 x^4+\left(2+12 x+18 x^2\right) \log \left(\frac{\log ^4(4)}{x}\right)\right) \log ^2\left(4+x^2+\log \left(\frac{\log ^4(4)}{x}\right)\right)}{\left(8+48 x+74 x^2+12 x^3+18 x^4+\left(2+12 x+18 x^2\right) \log \left(\frac{\log ^4(4)}{x}\right)\right) \log ^2\left(4+x^2+\log \left(\frac{\log ^4(4)}{x}\right)\right)} \, dx","Integrate[(5 + 15*x - 10*x^2 - 30*x^3 + (20 + 5*x^2 + 5*Log[Log[4]^4/x])*Log[4 + x^2 + Log[Log[4]^4/x]] + (8 + 48*x + 74*x^2 + 12*x^3 + 18*x^4 + (2 + 12*x + 18*x^2)*Log[Log[4]^4/x])*Log[4 + x^2 + Log[Log[4]^4/x]]^2)/((8 + 48*x + 74*x^2 + 12*x^3 + 18*x^4 + (2 + 12*x + 18*x^2)*Log[Log[4]^4/x])*Log[4 + x^2 + Log[Log[4]^4/x]]^2),x]","\frac{5 x}{2 (3 x+1) \log \left(x^2+\log \left(\frac{1}{x}\right)+4+4 \log (\log (4))\right)}+x","\frac{x}{\left(x+\frac{x+2}{5}\right) \log \left(x^2+\log \left(\frac{\log ^4(4)}{x}\right)+4\right)}+x",1,"x + (5*x)/(2*(1 + 3*x)*Log[4 + x^2 + Log[x^(-1)] + 4*Log[Log[4]]])","A",1
10161,1,38,31,0.1488039,"\int \frac{128-32 x+64 x^2-16 x^3+8 x^4-2 x^5+\left(40-530 x+280 x^2-545 x^3+258 x^4-128 x^5+48 x^6-6 x^7\right) \log (x)+\left(2-296 x+82 x^2-258 x^3+64 x^4-48 x^5+12 x^6\right) \log ^2(x)+\left(-49 x+4 x^2-32 x^3-6 x^5\right) \log ^3(x)-2 x \log ^4(x)+\left(\left(52-x+88 x^2-16 x^3+19 x^4-4 x^5\right) \log (x)+\left(20+24 x^2+5 x^4\right) \log ^2(x)+\log ^3(x)\right) \log \left(\log ^2(x)\right)}{\left(16-8 x+x^2\right) \log (x)+(8-2 x) \log ^2(x)+\log ^3(x)} \, dx","Integrate[(128 - 32*x + 64*x^2 - 16*x^3 + 8*x^4 - 2*x^5 + (40 - 530*x + 280*x^2 - 545*x^3 + 258*x^4 - 128*x^5 + 48*x^6 - 6*x^7)*Log[x] + (2 - 296*x + 82*x^2 - 258*x^3 + 64*x^4 - 48*x^5 + 12*x^6)*Log[x]^2 + (-49*x + 4*x^2 - 32*x^3 - 6*x^5)*Log[x]^3 - 2*x*Log[x]^4 + ((52 - x + 88*x^2 - 16*x^3 + 19*x^4 - 4*x^5)*Log[x] + (20 + 24*x^2 + 5*x^4)*Log[x]^2 + Log[x]^3)*Log[Log[x]^2])/((16 - 8*x + x^2)*Log[x] + (8 - 2*x)*Log[x]^2 + Log[x]^3),x]","-\frac{x \left(\left(x^2+4\right)^2+\log (x)\right) \left((x-4) x+\log \left(\log ^2(x)\right)-x \log (x)\right)}{x-\log (x)-4}","x \left(\left(x^2+4\right)^2+\log (x)\right) \left(\frac{\log \left(\log ^2(x)\right)}{-x+\log (x)+4}-x\right)",1,"-((x*((4 + x^2)^2 + Log[x])*((-4 + x)*x - x*Log[x] + Log[Log[x]^2]))/(-4 + x - Log[x]))","A",1
10162,1,16,17,0.0085262,"\int \frac{4 e^{10}-4 e^x \log (5)}{\log (5)} \, dx","Integrate[(4*E^10 - 4*E^x*Log[5])/Log[5],x]","\frac{4 e^{10} x}{\log (5)}-4 e^x","4 \left(\frac{e^{10} x}{\log (5)}-e^x\right)",1,"-4*E^x + (4*E^10*x)/Log[5]","A",1
10163,1,62,27,0.6840281,"\int \frac{-500 x^3+500 x^3 \log (x)+\left(500 x-500 x^2\right) \log ^2(x)+\left(-500 x+750 x^2\right) \log ^3(x)+128000 e^{2 e^{256 x^2}+256 x^2} x \log ^5(x)+(-250+250 x) \log ^5(x)+e^{e^{256 x^2}} \left(-500 x \log ^2(x)+\left(500 x+128000 e^{256 x^2} x^3\right) \log ^3(x)+\left(250+e^{256 x^2} \left(-128000 x+128000 x^2\right)\right) \log ^5(x)\right)}{\log ^5(x)} \, dx","Integrate[(-500*x^3 + 500*x^3*Log[x] + (500*x - 500*x^2)*Log[x]^2 + (-500*x + 750*x^2)*Log[x]^3 + 128000*E^(2*E^(256*x^2) + 256*x^2)*x*Log[x]^5 + (-250 + 250*x)*Log[x]^5 + E^E^(256*x^2)*(-500*x*Log[x]^2 + (500*x + 128000*E^(256*x^2)*x^3)*Log[x]^3 + (250 + E^(256*x^2)*(-128000*x + 128000*x^2))*Log[x]^5))/Log[x]^5,x]","125 \left(\frac{x^4}{\log ^4(x)}+e^{2 e^{256 x^2}}+2 e^{e^{256 x^2}} (x-1)+\frac{2 \left(e^{e^{256 x^2}}+x-1\right) x^2}{\log ^2(x)}+(x-2) x\right)","5 \left(5-5 \left(e^{e^{256 x^2}}+\frac{x^2}{\log ^2(x)}+x\right)\right)^2",1,"125*(E^(2*E^(256*x^2)) + 2*E^E^(256*x^2)*(-1 + x) + (-2 + x)*x + x^4/Log[x]^4 + (2*x^2*(-1 + E^E^(256*x^2) + x))/Log[x]^2)","B",1
10164,1,17,19,0.0015518,"\int \left(8 x-4 x^3-\log (x)\right) \, dx","Integrate[8*x - 4*x^3 - Log[x],x]","-x^4+4 x^2+x-x \log (x)","-\left(2-x^2\right)^2+x-x \log (x)-9",1,"x + 4*x^2 - x^4 - x*Log[x]","A",1
10165,1,83,29,0.0615384,"\int \frac{e^6 \left(-42-64 x-36 x^2-8 x^3\right)}{-125-75 x+60 x^2+29 x^3-12 x^4-3 x^5+x^6+e^6 \left(-45-69 x-23 x^2+8 x^3+4 x^4\right)} \, dx","Integrate[(E^6*(-42 - 64*x - 36*x^2 - 8*x^3))/(-125 - 75*x + 60*x^2 + 29*x^3 - 12*x^4 - 3*x^5 + x^6 + E^6*(-45 - 69*x - 23*x^2 + 8*x^3 + 4*x^4)),x]","-2 e^6 \left(\frac{\log \left(-(2 x+3)^2+8 (2 x+3)+5\right)}{e^6}-\frac{\log \left((2 x+3)^4-16 (2 x+3)^3+16 e^6 (2 x+3)^2+54 (2 x+3)^2+80 (2 x+3)+25\right)}{2 e^6}\right)","\log \left(\frac{e^6 (-2 x-3)^2}{x^2 \left(x-\frac{x+5}{x}\right)^2}+1\right)",1,"-2*E^6*(Log[5 + 8*(3 + 2*x) - (3 + 2*x)^2]/E^6 - Log[25 + 80*(3 + 2*x) + 54*(3 + 2*x)^2 + 16*E^6*(3 + 2*x)^2 - 16*(3 + 2*x)^3 + (3 + 2*x)^4]/(2*E^6))","B",1
10166,1,36,24,0.0591218,"\int \frac{25 x+25 x^3 \log (3)+10 x^2 \log (3) \log (625)+x \log (3) \log ^2(625)+\left(-25 x+25 x^2+25 x^3 \log (3)+\left(-5+10 x+10 x^2 \log (3)\right) \log (625)+(1+x \log (3)) \log ^2(625)\right) \log \left(\frac{-5+5 x+5 x^2 \log (3)+(1+x \log (3)) \log (625)}{5 x+\log (625)}\right)}{-50 x+50 x^2+50 x^3 \log (3)+\left(-10+20 x+20 x^2 \log (3)\right) \log (625)+(2+2 x \log (3)) \log ^2(625)} \, dx","Integrate[(25*x + 25*x^3*Log[3] + 10*x^2*Log[3]*Log[625] + x*Log[3]*Log[625]^2 + (-25*x + 25*x^2 + 25*x^3*Log[3] + (-5 + 10*x + 10*x^2*Log[3])*Log[625] + (1 + x*Log[3])*Log[625]^2)*Log[(-5 + 5*x + 5*x^2*Log[3] + (1 + x*Log[3])*Log[625])/(5*x + Log[625])])/(-50*x + 50*x^2 + 50*x^3*Log[3] + (-10 + 20*x + 20*x^2*Log[3])*Log[625] + (2 + 2*x*Log[3])*Log[625]^2),x]","\frac{1}{2} x \log \left(\frac{5 x^2 \log (3)+5 x+\log (625) (x \log (3)+1)-5}{5 x+\log (625)}\right)","\frac{1}{2} x \log \left(x \log (3)-\frac{1}{x+\frac{\log (625)}{5}}+1\right)",1,"(x*Log[(-5 + 5*x + 5*x^2*Log[3] + (1 + x*Log[3])*Log[625])/(5*x + Log[625])])/2","A",1
10167,1,28,24,0.094511,"\int \frac{\exp \left(-\frac{-1+5 \log (2 x+x \log (x))}{\log (2 x+x \log (x))}\right) \left(-15-5 \log (x)+\exp \left(\frac{-1+5 \log (2 x+x \log (x))}{\log (2 x+x \log (x))}\right) \left(4 x^2+6 x^3+\left(2 x^2+3 x^3\right) \log (x)\right) \log ^2(2 x+x \log (x))\right)}{(2 x+x \log (x)) \log ^2(2 x+x \log (x))} \, dx","Integrate[(-15 - 5*Log[x] + E^((-1 + 5*Log[2*x + x*Log[x]])/Log[2*x + x*Log[x]])*(4*x^2 + 6*x^3 + (2*x^2 + 3*x^3)*Log[x])*Log[2*x + x*Log[x]]^2)/(E^((-1 + 5*Log[2*x + x*Log[x]])/Log[2*x + x*Log[x]])*(2*x + x*Log[x])*Log[2*x + x*Log[x]]^2),x]","\frac{e^5 (x+1) x^2+5 e^{\frac{1}{\log (x (\log (x)+2))}}}{e^5}","x \left(x^2+x\right)+5 e^{\frac{1}{\log (x (\log (x)+2))}-5}-25",1,"(5*E^Log[x*(2 + Log[x])]^(-1) + E^5*x^2*(1 + x))/E^5","A",1
10168,1,10,14,0.000077,"\int \left(-25-2 e^2\right) \, dx","Integrate[-25 - 2*E^2,x]","-2 e^2 x-25 x","25 (2-x)-2 e^2 x",1,"-25*x - 2*E^2*x","A",1
10169,1,18,22,0.0851218,"\int \frac{2 x^2+e^{3968-1512 x+144 x^2} x \left(1-1512 x+288 x^2\right)}{x} \, dx","Integrate[(2*x^2 + E^(3968 - 1512*x + 144*x^2)*x*(1 - 1512*x + 288*x^2))/x,x]","x \left(e^{8 \left(18 x^2-189 x+496\right)}+x\right)","x^2+e^{9 (3 (x-4)+x-9)^2-1} x",1,"x*(E^(8*(496 - 189*x + 18*x^2)) + x)","A",1
10170,1,10,11,0.0013374,"\int \frac{32+e^4 x^2}{e^4 x^2} \, dx","Integrate[(32 + E^4*x^2)/(E^4*x^2),x]","x-\frac{32}{e^4 x}","x-\frac{32}{e^4 x}-1",1,"-32/(E^4*x) + x","A",1
10171,1,33,26,0.5660615,"\int \frac{9 e^{10} x^3 \log (4)+\left(-27-36 x-18 x^2\right) \log (5)+\left(18 e^{10} x^2 \log (4)-9 x \log (5)\right) \log (x)+9 e^{10} x \log (4) \log ^2(x)}{9 x^3+6 x^4+x^5+\left(18 x^2+12 x^3+2 x^4\right) \log (x)+\left(9 x+6 x^2+x^3\right) \log ^2(x)} \, dx","Integrate[(9*E^10*x^3*Log[4] + (-27 - 36*x - 18*x^2)*Log[5] + (18*E^10*x^2*Log[4] - 9*x*Log[5])*Log[x] + 9*E^10*x*Log[4]*Log[x]^2)/(9*x^3 + 6*x^4 + x^5 + (18*x^2 + 12*x^3 + 2*x^4)*Log[x] + (9*x + 6*x^2 + x^3)*Log[x]^2),x]","\frac{9 \left(-e^{10} x \log (4)-e^{10} \log (4) \log (x)+\log (5)\right)}{(x+3) (x+\log (x))}","e-\frac{9 \left(e^{10} \log (4)-\frac{\log (5)}{x+\log (x)}\right)}{x+3}",1,"(9*(-(E^10*x*Log[4]) + Log[5] - E^10*Log[4]*Log[x]))/((3 + x)*(x + Log[x]))","A",1
10172,1,50,22,0.0579362,"\int \frac{-4 x^2-4 e^{x^2} x^3+\left(8 x^2+e^{x^2} \left(2 x+4 x^3\right)+2 x \log (8)\right) \log \left(e^{x^2}+2 x+\log (8)\right)+\left(-4 e^{x^2} x-8 x^2-4 x \log (8)\right) \log ^2\left(e^{x^2}+2 x+\log (8)\right)+\left(2 e^{x^2} x+4 x^2+2 x \log (8)\right) \log ^3\left(e^{x^2}+2 x+\log (8)\right)}{\left(e^{x^2}+2 x+\log (8)\right) \log ^3\left(e^{x^2}+2 x+\log (8)\right)} \, dx","Integrate[(-4*x^2 - 4*E^x^2*x^3 + (8*x^2 + E^x^2*(2*x + 4*x^3) + 2*x*Log[8])*Log[E^x^2 + 2*x + Log[8]] + (-4*E^x^2*x - 8*x^2 - 4*x*Log[8])*Log[E^x^2 + 2*x + Log[8]]^2 + (2*E^x^2*x + 4*x^2 + 2*x*Log[8])*Log[E^x^2 + 2*x + Log[8]]^3)/((E^x^2 + 2*x + Log[8])*Log[E^x^2 + 2*x + Log[8]]^3),x]","2 \left(\frac{x^2}{2}+\frac{x^2}{2 \log ^2\left(e^{x^2}+2 x+\log (8)\right)}-\frac{x^2}{\log \left(e^{x^2}+2 x+\log (8)\right)}\right)","\left(\frac{x}{\log \left(e^{x^2}+2 x+\log (8)\right)}-x\right)^2",1,"2*(x^2/2 + x^2/(2*Log[E^x^2 + 2*x + Log[8]]^2) - x^2/Log[E^x^2 + 2*x + Log[8]])","B",1
10173,1,107,33,0.2502315,"\int \frac{34 x^2+20 x^3+14 x^4+10 x^5+e^x \left(-12+12 x+11 x^2+4 x^3+5 x^4\right)+\left(12+4 x^2\right) \log \left(\frac{1}{4} \left(3+x^2\right)\right)}{3 x^2+x^4} \, dx","Integrate[(34*x^2 + 20*x^3 + 14*x^4 + 10*x^5 + E^x*(-12 + 12*x + 11*x^2 + 4*x^3 + 5*x^4) + (12 + 4*x^2)*Log[(3 + x^2)/4])/(3*x^2 + x^4),x]","5 x^2-\frac{4 \log \left(\frac{1}{4} \left(x^2+3\right)\right)}{x}+14 x+\frac{e^x (5 x+4)}{x}+\frac{1}{3} i \left(4 \sqrt{3}+15 i\right) \log \left(\sqrt{3}+i x\right)-\frac{1}{3} \left(15+4 i \sqrt{3}\right) \log \left(x+i \sqrt{3}\right)+\frac{8 \tan ^{-1}\left(\frac{x}{\sqrt{3}}\right)}{\sqrt{3}}","(5 x+4) \left(-\frac{\log \left(\frac{x^2}{4}+\frac{3}{4}\right)}{x}+x+\frac{e^x}{x}+2\right)",1,"14*x + 5*x^2 + (E^x*(4 + 5*x))/x + (8*ArcTan[x/Sqrt[3]])/Sqrt[3] + (I/3)*(15*I + 4*Sqrt[3])*Log[Sqrt[3] + I*x] - ((15 + (4*I)*Sqrt[3])*Log[I*Sqrt[3] + x])/3 - (4*Log[(3 + x^2)/4])/x","C",1
10174,1,20,28,0.1668991,"\int \frac{e^{\frac{2 x^2}{1-8 x^2+16 x^4}} \left(-2 x+20 x^3-112 x^5+128 x^7\right)}{-1+12 x^2-48 x^4+64 x^6} \, dx","Integrate[(E^((2*x^2)/(1 - 8*x^2 + 16*x^4))*(-2*x + 20*x^3 - 112*x^5 + 128*x^7))/(-1 + 12*x^2 - 48*x^4 + 64*x^6),x]","e^{\frac{2 x^2}{\left(1-4 x^2\right)^2}} x^2","e^{\frac{2 x^2}{\left(1-4 x^2\right)^2}} x^2-\frac{\log (4)}{e}",1,"E^((2*x^2)/(1 - 4*x^2)^2)*x^2","A",1
10175,1,15,27,0.0031481,"\int \frac{1-103 x^2+50 x^3-\log (x)}{x^2} \, dx","Integrate[(1 - 103*x^2 + 50*x^3 - Log[x])/x^2,x]","25 x^2-103 x+\frac{\log (x)}{x}","-\frac{3 x^2-\log (x)}{x}+25 (x-2)^2+e^3+3",1,"-103*x + 25*x^2 + Log[x]/x","A",1
10176,1,38,33,0.355888,"\int \frac{-25 x+e^{4 x^2} \left(-50 x^3-200 x^5\right)-25 x \log \left(e^{e^{4 x^2} x^2} x\right)+(2+45 x) \log ^2\left(e^{e^{4 x^2} x^2} x\right)}{5 x^3 \log ^2\left(e^{e^{4 x^2} x^2} x\right)} \, dx","Integrate[(-25*x + E^(4*x^2)*(-50*x^3 - 200*x^5) - 25*x*Log[E^(E^(4*x^2)*x^2)*x] + (2 + 45*x)*Log[E^(E^(4*x^2)*x^2)*x]^2)/(5*x^3*Log[E^(E^(4*x^2)*x^2)*x]^2),x]","\frac{1}{5} \left(-\frac{1}{x^2}+\frac{25}{x \log \left(e^{e^{4 x^2} x^2} x\right)}-\frac{45}{x}\right)","\frac{\frac{5}{\log \left(e^{e^{4 x^2} x^2} x\right)}-\frac{1}{5 x}-9}{x}",1,"(-x^(-2) - 45/x + 25/(x*Log[E^(E^(4*x^2)*x^2)*x]))/5","A",1
10177,1,64,19,0.0575154,"\int \left(-2+e^{x^4} \left(6 x^2+8 x^6+\left(-4 x-8 x^5\right) \log (4)\right)\right) \, dx","Integrate[-2 + E^x^4*(6*x^2 + 8*x^6 + (-4*x - 8*x^5)*Log[4]),x]","\frac{3 \sqrt[4]{-x^4} \Gamma \left(\frac{3}{4},-x^4\right)}{2 x}-\frac{2 \sqrt[4]{-x^4} \Gamma \left(\frac{7}{4},-x^4\right)}{x}-2 e^{x^4} x^2 \log (4)-2 x","\left(2-2 e^{x^4} x^2\right) (\log (4)-x)",1,"-2*x + (3*(-x^4)^(1/4)*Gamma[3/4, -x^4])/(2*x) - (2*(-x^4)^(1/4)*Gamma[7/4, -x^4])/x - 2*E^x^4*x^2*Log[4]","C",1
10178,1,31,27,0.0904827,"\int \frac{e^{e^x+x} x+\frac{e^{2+2 \log ^2(5 x)} \left(-4 e^{6+2 e^4}+4 e^{6+2 e^4} \log (5 x)\right)}{625 x^4}}{x} \, dx","Integrate[(E^(E^x + x)*x + (E^(2 + 2*Log[5*x]^2)*(-4*E^(6 + 2*E^4) + 4*E^(6 + 2*E^4)*Log[5*x]))/(625*x^4))/x,x]","\frac{1}{625} \left(\frac{e^{2 \left(\log ^2(5 x)+e^4+4\right)}}{x^4}+625 e^{e^x}\right)","e^{e^x}+e^{2 (1-\log (5 x))^2+2 e^4+6}",1,"(625*E^E^x + E^(2*(4 + E^4 + Log[5*x]^2))/x^4)/625","A",1
10179,1,53,36,0.0988656,"\int \frac{e^{-x^2} \left(8 x-x^2+8 x^3-2 x^4+e^5 \left(4+8 x^2-2 x^3\right)+e^{x^2} \left(-2 e^{10}+6 x^2+e^5 \left(-4 x+2 x^2\right)+e^x \left(-8 x+5 x^2-x^3+e^5 \left(-4+4 x-x^2\right)\right)\right)\right)}{e^{10} x^2+2 e^5 x^3+x^4} \, dx","Integrate[(8*x - x^2 + 8*x^3 - 2*x^4 + E^5*(4 + 8*x^2 - 2*x^3) + E^x^2*(-2*E^10 + 6*x^2 + E^5*(-4*x + 2*x^2) + E^x*(-8*x + 5*x^2 - x^3 + E^5*(-4 + 4*x - x^2))))/(E^x^2*(E^10*x^2 + 2*E^5*x^3 + x^4)),x]","\frac{e^{-x^2} \left(-e^{x^2+x} (x-4)-2 e^{x^2+5} (x-1)-6 e^{x^2} x+x-4\right)}{x \left(x+e^5\right)}","\frac{2-\frac{(4-x) \left(e^{-x^2}+2 x-e^x\right)}{x+e^5}}{x}",1,"(-4 - E^(x + x^2)*(-4 + x) - 2*E^(5 + x^2)*(-1 + x) + x - 6*E^x^2*x)/(E^x^2*x*(E^5 + x))","A",1
10180,1,23,21,0.0204294,"\int \frac{6 x-32 x \log ^2(2)}{-15+3 x^2+\left(80-16 x^2\right) \log ^2(2)+3 \log (9)} \, dx","Integrate[(6*x - 32*x*Log[2]^2)/(-15 + 3*x^2 + (80 - 16*x^2)*Log[2]^2 + 3*Log[9]),x]","\log \left(x^2 \left(3-16 \log ^2(2)\right)-15+80 \log ^2(2)+\log (729)\right)","\log \left(\frac{1}{3} \left(x^2-5\right) \left(3-16 \log ^2(2)\right)+\log (9)\right)",1,"Log[-15 + 80*Log[2]^2 + x^2*(3 - 16*Log[2]^2) + Log[729]]","A",1
10181,1,32,24,0.1009252,"\int \frac{1+x+e^{x+x^2} \left(-4 x-8 x^2\right)+e^{4+x} \left(2 x+2 x^2\right)+e^{2 x+2 x^2} \left(2 x+4 x^2\right)}{x} \, dx","Integrate[(1 + x + E^(x + x^2)*(-4*x - 8*x^2) + E^(4 + x)*(2*x + 2*x^2) + E^(2*x + 2*x^2)*(2*x + 4*x^2))/x,x]","-4 e^{x^2+x}+e^{2 x^2+2 x}+2 e^{x+4} x+x+\log (x)","\left(e^{x^2+x}-2\right)^2+2 e^{x+4} x+x+\log (x)-4",1,"-4*E^(x + x^2) + E^(2*x + 2*x^2) + x + 2*E^(4 + x)*x + Log[x]","A",1
10182,1,25,24,0.0854685,"\int \frac{e^x (1-x)+\left(-4 e^{2 x}+e^x x\right) \log \left(e^{-x} \left(-4 e^x+x\right)\right) \log \left(\log \left(e^{-x} \left(-4 e^x+x\right)\right)\right)+\left(8 e^{2 x}-2 e^x x\right) \log \left(e^{-x} \left(-4 e^x+x\right)\right) \log (\log (\log (16)))}{\left(8 e^x-2 x\right) \log \left(e^{-x} \left(-4 e^x+x\right)\right)} \, dx","Integrate[(E^x*(1 - x) + (-4*E^(2*x) + E^x*x)*Log[(-4*E^x + x)/E^x]*Log[Log[(-4*E^x + x)/E^x]] + (8*E^(2*x) - 2*E^x*x)*Log[(-4*E^x + x)/E^x]*Log[Log[Log[16]]])/((8*E^x - 2*x)*Log[(-4*E^x + x)/E^x]),x]","-\frac{1}{2} e^x \left(\log \left(\log \left(e^{-x} x-4\right)\right)-2 \log (\log (\log (16)))\right)","e^x \left(\log (\log (\log (16)))-\frac{1}{2} \log \left(\log \left(e^{-x} x-4\right)\right)\right)",1,"-1/2*(E^x*(Log[Log[-4 + x/E^x]] - 2*Log[Log[Log[16]]]))","A",1
10183,1,30,34,0.0609179,"\int \frac{48-120 x+4 x^2+\left(15-100 x-5 x^2\right) \log \left(\frac{9-120 x+394 x^2+40 x^3+x^4}{x^4}\right)}{-15 x^2+100 x^3+5 x^4} \, dx","Integrate[(48 - 120*x + 4*x^2 + (15 - 100*x - 5*x^2)*Log[(9 - 120*x + 394*x^2 + 40*x^3 + x^4)/x^4])/(-15*x^2 + 100*x^3 + 5*x^4),x]","\frac{1}{5} \left(\frac{5 \log \left(\frac{\left(x^2+20 x-3\right)^2}{x^4}\right)}{x}-\frac{4}{x}\right)","\frac{\log \left(\left(\frac{x+20}{x}-\frac{3}{x^2}\right)^2\right)}{x}-\frac{x+4}{5 x}+e^4",1,"(-4/x + (5*Log[(-3 + 20*x + x^2)^2/x^4])/x)/5","A",1
10184,1,19,20,0.0299022,"\int \frac{-18+24 x+31 x^2+6 x^3+(45+10 x) \log (9+2 x)}{9+2 x} \, dx","Integrate[(-18 + 24*x + 31*x^2 + 6*x^3 + (45 + 10*x)*Log[9 + 2*x])/(9 + 2*x),x]","x^3+x^2-2 x+5 x \log (2 x+9)","x \left(x^2+x+5 \log (2 x+9)\right)-2 x-5",1,"-2*x + x^2 + x^3 + 5*x*Log[9 + 2*x]","A",1
10185,1,23,26,0.0483406,"\int \frac{e^x (1-x)+e^2 \left(-20 x+11 x^2\right)+4 e^2 x^2 \log (x)}{e^2 x^2} \, dx","Integrate[(E^x*(1 - x) + E^2*(-20*x + 11*x^2) + 4*E^2*x^2*Log[x])/(E^2*x^2),x]","7 x-\frac{e^{x-2}}{x}+4 x \log (x)-20 \log (x)","3 (x-3)-\frac{e^{x-2}}{x}+(x-5) (4 \log (x)+4)",1,"-(E^(-2 + x)/x) + 7*x - 20*Log[x] + 4*x*Log[x]","A",1
10186,1,24,25,0.1825243,"\int \frac{4 x+e^{-x} \log (5) (-12-8 x+(-4-4 x) \log (x))}{4 x^2+4 x^2 \log (x)+x^2 \log ^2(x)} \, dx","Integrate[(4*x + (Log[5]*(-12 - 8*x + (-4 - 4*x)*Log[x]))/E^x)/(4*x^2 + 4*x^2*Log[x] + x^2*Log[x]^2),x]","\frac{e^{-x} \left(\log (625)-4 e^x x\right)}{x (\log (x)+2)}","\frac{2 \left(e^{-x} \log (5)-x\right)}{x+\frac{1}{2} x \log (x)}",1,"(-4*E^x*x + Log[625])/(E^x*x*(2 + Log[x]))","A",1
10187,1,23,23,0.316776,"\int \frac{-x^2+x^5+\left(x^2+x^3\right) \log (x)+\left(3 x^3+3 x^4+3 x^2 \log (x)\right) \log \left(\frac{e^{-x} \left(x+x^2+\log (x)\right)}{x}\right)}{\left(x+x^2+\log (x)\right) \log ^2\left(\frac{e^{-x} \left(x+x^2+\log (x)\right)}{x}\right)} \, dx","Integrate[(-x^2 + x^5 + (x^2 + x^3)*Log[x] + (3*x^3 + 3*x^4 + 3*x^2*Log[x])*Log[(x + x^2 + Log[x])/(E^x*x)])/((x + x^2 + Log[x])*Log[(x + x^2 + Log[x])/(E^x*x)]^2),x]","\frac{x^3}{\log \left(\frac{e^{-x} \left(x^2+x+\log (x)\right)}{x}\right)}","\frac{x^3}{\log \left(\frac{e^{-x} \left(x^2+x+\log (x)\right)}{x}\right)}",1,"x^3/Log[(x + x^2 + Log[x])/(E^x*x)]","A",1
10188,1,40,25,0.0229417,"\int \frac{\left(-2 x^2+e^2 (12+8 x)+\left(-10 x^2+e^2 (60+40 x)\right) \log (5)\right) \log (\log (25))}{\left(4 e^4-4 e^2 x+x^2\right) \log (5)} \, dx","Integrate[((-2*x^2 + E^2*(12 + 8*x) + (-10*x^2 + E^2*(60 + 40*x))*Log[5])*Log[Log[25]])/((4*E^4 - 4*E^2*x + x^2)*Log[5]),x]","\frac{2 \left(-x-\frac{2 e^2 \left(3+2 e^2\right)}{x-2 e^2}\right) (1+5 \log (5)) \log (\log (25))}{\log (5)}","\frac{x (x+3) \left(5+\frac{1}{\log (5)}\right) \log (\log (25))}{e^2-\frac{x}{2}}",1,"(2*(-x - (2*E^2*(3 + 2*E^2))/(-2*E^2 + x))*(1 + 5*Log[5])*Log[Log[25]])/Log[5]","A",1
10189,1,16,16,0.4998634,"\int \frac{-1+4 x+4 x^2}{-2 x^2+4 x^3+e \left(-x+2 x^2\right)+\left(-x+2 x^2\right) \log (x)+\left(-2 x+4 x^2\right) \log (-1+2 x)} \, dx","Integrate[(-1 + 4*x + 4*x^2)/(-2*x^2 + 4*x^3 + E*(-x + 2*x^2) + (-x + 2*x^2)*Log[x] + (-2*x + 4*x^2)*Log[-1 + 2*x]),x]","\log (2 x+\log (x)+2 \log (2 x-1)+e)","\log (2 x+\log (x)+2 \log (2 x-1)+e)",1,"Log[E + 2*x + Log[x] + 2*Log[-1 + 2*x]]","A",1
10190,1,20,20,0.0684615,"\int \frac{-40 x-22 x^2+2 x^3+\left(8 x+6 x^2\right) \log \left(x^3\right)+\left(200+134 x-4 x^2+\left(-80-52 x+2 x^2\right) \log \left(x^3\right)+(8+6 x) \log ^2\left(x^3\right)\right) \log \left(32 x+16 x^2+2 x^3\right)+\left(-120-30 x+(24+6 x) \log \left(x^3\right)\right) \log ^2\left(32 x+16 x^2+2 x^3\right)}{4 x+x^2} \, dx","Integrate[(-40*x - 22*x^2 + 2*x^3 + (8*x + 6*x^2)*Log[x^3] + (200 + 134*x - 4*x^2 + (-80 - 52*x + 2*x^2)*Log[x^3] + (8 + 6*x)*Log[x^3]^2)*Log[32*x + 16*x^2 + 2*x^3] + (-120 - 30*x + (24 + 6*x)*Log[x^3])*Log[32*x + 16*x^2 + 2*x^3]^2)/(4*x + x^2),x]","\left(\left(\log \left(x^3\right)-5\right) \log \left(2 x (x+4)^2\right)+x\right)^2","\left(\left(\log \left(x^3\right)-5\right) \log \left(2 x (x+4)^2\right)+x\right)^2",1,"(x + (-5 + Log[x^3])*Log[2*x*(4 + x)^2])^2","A",1
10191,1,32,34,0.0000697,"\int \log \left(\frac{1}{6} \left(30-5 \log (\log (2))-15 e^3 (i \pi +\log (4-\log (3)))\right)\right) \, dx","Integrate[Log[(30 - 5*Log[Log[2]] - 15*E^3*(I*Pi + Log[4 - Log[3]]))/6],x]","x \log \left(\frac{1}{6} \left(30-5 \log (\log (2))-15 e^3 (\log (4-\log (3))+i \pi )\right)\right)","x \log \left(\frac{5}{2} \left(2-\frac{1}{3} \log (\log (2))-e^3 (\log (4-\log (3))+i \pi )\right)\right)",1,"x*Log[(30 - 5*Log[Log[2]] - 15*E^3*(I*Pi + Log[4 - Log[3]]))/6]","A",1
10192,1,19,25,0.0078463,"\int \frac{24-4 e^{\frac{x^2}{2}} x^3}{3 x^2} \, dx","Integrate[(24 - 4*E^(x^2/2)*x^3)/(3*x^2),x]","-\frac{4}{3} e^{\frac{x^2}{2}}-\frac{8}{x}","-\frac{4 \left(\left(e^{\frac{x^2}{2}}-e\right) x+x+6\right)}{3 x}",1,"(-4*E^(x^2/2))/3 - 8/x","A",1
10193,1,22,22,3.794379,"\int e^{-e^{1+e^{32}-2 x+x^2+e^{16} (-2+2 x)}} \left(-3 x+e^{1+e^{32}-2 x+x^2+e^{16} (-2+2 x)} \left(-4 x^2+4 e^{16} x^2+4 x^3\right)+\left(2 x+e^{1+e^{32}-2 x+x^2+e^{16} (-2+2 x)} \left(2 x^2-2 e^{16} x^2-2 x^3\right)\right) \log (x)\right) \, dx","Integrate[(-3*x + E^(1 + E^32 - 2*x + x^2 + E^16*(-2 + 2*x))*(-4*x^2 + 4*E^16*x^2 + 4*x^3) + (2*x + E^(1 + E^32 - 2*x + x^2 + E^16*(-2 + 2*x))*(2*x^2 - 2*E^16*x^2 - 2*x^3))*Log[x])/E^E^(1 + E^32 - 2*x + x^2 + E^16*(-2 + 2*x)),x]","e^{-e^{\left(x+e^{16}-1\right)^2}} x^2 (\log (x)-2)","e^{-e^{\left(x+e^{16}-1\right)^2}} x^2 (\log (x)-2)",1,"(x^2*(-2 + Log[x]))/E^E^(-1 + E^16 + x)^2","A",1
10194,1,26,21,0.2224422,"\int \frac{-45+9 e^4+e^{-2+2 x} (-9-18 x)}{25 x^2-10 e^4 x^2+e^8 x^2+e^{-4+4 x} x^2+e^{-2+2 x} \left(10 x^2-2 e^4 x^2\right)} \, dx","Integrate[(-45 + 9*E^4 + E^(-2 + 2*x)*(-9 - 18*x))/(25*x^2 - 10*E^4*x^2 + E^8*x^2 + E^(-4 + 4*x)*x^2 + E^(-2 + 2*x)*(10*x^2 - 2*E^4*x^2)),x]","\frac{9 e^2}{\left(e^{2 x}+5 e^2-e^6\right) x}","\frac{9}{\left(e^{2 x-2}+5-e^4\right) x}",1,"(9*E^2)/((5*E^2 - E^6 + E^(2*x))*x)","A",1
10195,1,21,21,0.0525037,"\int \frac{-2-x+2 \log (-5 x+x (i \pi +\log (3)))}{\left(4+4 x+x^2\right) \log ^2(-5 x+x (i \pi +\log (3)))} \, dx","Integrate[(-2 - x + 2*Log[-5*x + x*(I*Pi + Log[3])])/((4 + 4*x + x^2)*Log[-5*x + x*(I*Pi + Log[3])]^2),x]","\frac{x}{(x+2) \log (x (-5+i \pi +\log (3)))}","\frac{x}{(x+2) \log (x (-5+i \pi +\log (3)))}",1,"x/((2 + x)*Log[x*(-5 + I*Pi + Log[3])])","A",1
10196,1,17,17,0.0074204,"\int \frac{4 e^4 x^3}{\left(-450+x^4\right) \log ^2\left(\frac{1}{225} \left(-450+x^4\right)\right)} \, dx","Integrate[(4*E^4*x^3)/((-450 + x^4)*Log[(-450 + x^4)/225]^2),x]","-\frac{e^4}{\log \left(\frac{x^4}{225}-2\right)}","-\frac{e^4}{\log \left(\frac{x^4}{225}-2\right)}",1,"-(E^4/Log[-2 + x^4/225])","A",1
10197,1,42,22,0.3935629,"\int \frac{\exp \left(400+4 e^{6+2 e^{e^x} x}+\log ^2(x)+e^{3+e^{e^x} x} (-80+4 \log (x))\right) \left(-40+e^{6+e^x+2 e^{e^x} x} \left(8 x+8 e^x x^2\right)+2 \log (x)+e^{3+e^{e^x} x} \left(4+e^{e^x} \left(-80 x-80 e^x x^2+\left(4 x+4 e^x x^2\right) \log (x)\right)\right)\right)}{x^{41}} \, dx","Integrate[(E^(400 + 4*E^(6 + 2*E^E^x*x) + Log[x]^2 + E^(3 + E^E^x*x)*(-80 + 4*Log[x]))*(-40 + E^(6 + E^x + 2*E^E^x*x)*(8*x + 8*E^x*x^2) + 2*Log[x] + E^(3 + E^E^x*x)*(4 + E^E^x*(-80*x - 80*E^x*x^2 + (4*x + 4*E^x*x^2)*Log[x]))))/x^41,x]","x^{4 e^{e^{e^x} x+3}-40} e^{4 \left(e^{e^{e^x} x+3}-10\right)^2+\log ^2(x)}","e^{\left(2 \left(e^{e^{e^x} x+3}-10\right)+\log (x)\right)^2}",1,"E^(4*(-10 + E^(3 + E^E^x*x))^2 + Log[x]^2)*x^(-40 + 4*E^(3 + E^E^x*x))","A",1
10198,1,9,9,0.0328682,"\int \frac{-960 x^2+1440 x^2 \log (x)}{\log ^3(x)} \, dx","Integrate[(-960*x^2 + 1440*x^2*Log[x])/Log[x]^3,x]","\frac{480 x^3}{\log ^2(x)}","\frac{480 x^3}{\log ^2(x)}",1,"(480*x^3)/Log[x]^2","A",1
10199,1,138,28,0.3141721,"\int \frac{-1875-675 x+30 x^2+e^6 (-75+3 x)+e^{\frac{2}{3} (-3 x+\log (25-x))} (-75+3 x)+e^3 \left(-750-120 x+6 x^2\right)+e^{\frac{1}{3} (-3 x+\log (25-x))} \left(-750-120 x-70 x^2+3 x^3+e^3 (-150+6 x)\right)}{-1875+75 x+e^6 (-75+3 x)+e^{\frac{2}{3} (-3 x+\log (25-x))} (-75+3 x)+e^3 (-750+30 x)+e^{\frac{1}{3} (-3 x+\log (25-x))} \left(-750+30 x+e^3 (-150+6 x)\right)} \, dx","Integrate[(-1875 - 675*x + 30*x^2 + E^6*(-75 + 3*x) + E^((2*(-3*x + Log[25 - x]))/3)*(-75 + 3*x) + E^3*(-750 - 120*x + 6*x^2) + E^((-3*x + Log[25 - x])/3)*(-750 - 120*x - 70*x^2 + 3*x^3 + E^3*(-150 + 6*x)))/(-1875 + 75*x + E^6*(-75 + 3*x) + E^((2*(-3*x + Log[25 - x]))/3)*(-75 + 3*x) + E^3*(-750 + 30*x) + E^((-3*x + Log[25 - x])/3)*(-750 + 30*x + E^3*(-150 + 6*x))),x]","\frac{x \left(e^x (25-x)^{2/3} x-5 e^{2 x} \sqrt[3]{25-x} x-e^{2 x+3} \sqrt[3]{25-x} x-x+e^{3 x+9}+25 e^{3 x} (x+5)+e^{3 x+6} (x+15)+5 e^{3 x+3} (2 x+15)+25\right)}{-x+125 e^{3 x}+75 e^{3 x+3}+15 e^{3 x+6}+e^{3 x+9}+25}","\frac{x^2}{e^{-x} \sqrt[3]{25-x}+e^3+5}+x",1,"(x*(25 + E^(9 + 3*x) - x - 5*E^(2*x)*(25 - x)^(1/3)*x - E^(3 + 2*x)*(25 - x)^(1/3)*x + E^x*(25 - x)^(2/3)*x + 25*E^(3*x)*(5 + x) + E^(6 + 3*x)*(15 + x) + 5*E^(3 + 3*x)*(15 + 2*x)))/(25 + 125*E^(3*x) + 75*E^(3 + 3*x) + 15*E^(6 + 3*x) + E^(9 + 3*x) - x)","B",1
10200,1,20,28,0.4316052,"\int \frac{x+2 e^{e^{2 x}+2 x} x+\left(5-e^{e^{2 x}}-x\right) \log \left(5-e^{e^{2 x}}-x\right)}{\left(-5+e^{e^{2 x}}+x\right) \log ^2\left(5-e^{e^{2 x}}-x\right)} \, dx","Integrate[(x + 2*E^(E^(2*x) + 2*x)*x + (5 - E^E^(2*x) - x)*Log[5 - E^E^(2*x) - x])/((-5 + E^E^(2*x) + x)*Log[5 - E^E^(2*x) - x]^2),x]","-\frac{x}{\log \left(-x-e^{e^{2 x}}+5\right)}","-\frac{x}{\log \left(-x-e^{e^{2 x}}+5\right)}-e^{9/2}",1,"-(x/Log[5 - E^E^(2*x) - x])","A",1
10201,1,6,15,0.002193,"\int e^x (6+6 x) \, dx","Integrate[E^x*(6 + 6*x),x]","6 e^x x","6 e^x x-e^{e^8}-2",1,"6*E^x*x","A",1
10202,1,9,20,0.0006613,"\int \frac{1}{5} \left(5+4 x^3\right) \, dx","Integrate[(5 + 4*x^3)/5,x]","\frac{x^4}{5}+x","\frac{1}{5} \left(x^4-1\right)+x+e-(e-9)^2-2",1,"x + x^4/5","A",1
10203,1,25,29,0.1533866,"\int \frac{\exp \left(\frac{1}{9} \left(225 e \log ^2\left(x^2\right)-150 e \log \left(x^2\right) \log \left(\log \left(\frac{4-x}{4}\right)\right)+25 e \log ^2\left(\log \left(\frac{4-x}{4}\right)\right)\right)\right) \left(\left(-150 e x+e (-3600+900 x) \log \left(\frac{4-x}{4}\right)\right) \log \left(x^2\right)+\left(50 e x+e (1200-300 x) \log \left(\frac{4-x}{4}\right)\right) \log \left(\log \left(\frac{4-x}{4}\right)\right)\right)}{\left(-36 x+9 x^2\right) \log \left(\frac{4-x}{4}\right)} \, dx","Integrate[(E^((225*E*Log[x^2]^2 - 150*E*Log[x^2]*Log[Log[(4 - x)/4]] + 25*E*Log[Log[(4 - x)/4]]^2)/9)*((-150*E*x + E*(-3600 + 900*x)*Log[(4 - x)/4])*Log[x^2] + (50*E*x + E*(1200 - 300*x)*Log[(4 - x)/4])*Log[Log[(4 - x)/4]]))/((-36*x + 9*x^2)*Log[(4 - x)/4]),x]","e^{\frac{25}{9} e \left(\log \left(\log \left(1-\frac{x}{4}\right)\right)-3 \log \left(x^2\right)\right)^2}","e^{25 e \left(\frac{1}{3} \log \left(\log \left(\frac{4-x}{4}\right)\right)-\log \left(x^2\right)\right)^2}",1,"E^((25*E*(-3*Log[x^2] + Log[Log[1 - x/4]])^2)/9)","A",1
10204,1,24,27,0.3547554,"\int \frac{-62181 x^2-64827 x^3+e^x (-882+1764 x)}{4 e^{3 x}+e^{2 x} \left(24 x-588 x^2\right)+e^x \left(36 x^2-1764 x^3+21609 x^4\right)} \, dx","Integrate[(-62181*x^2 - 64827*x^3 + E^x*(-882 + 1764*x))/(4*E^(3*x) + E^(2*x)*(24*x - 588*x^2) + E^x*(36*x^2 - 1764*x^3 + 21609*x^4)),x]","-\frac{441 e^{-x} x}{3 (2-49 x) x+2 e^x}","\frac{3 e^{-x}}{x-\frac{2 \left(x+\frac{e^x}{3}\right)}{49 x}}",1,"(-441*x)/(E^x*(2*E^x + 3*(2 - 49*x)*x))","A",1
10205,1,17,17,0.1229909,"\int \frac{e^{-2 x} \left(180 e^5 \log (\log (x))+e^5 (-180-180 x) \log (x) \log ^2(\log (x))\right)}{x^3 \log (x)} \, dx","Integrate[(180*E^5*Log[Log[x]] + E^5*(-180 - 180*x)*Log[x]*Log[Log[x]]^2)/(E^(2*x)*x^3*Log[x]),x]","\frac{90 e^{5-2 x} \log ^2(\log (x))}{x^2}","\frac{90 e^{5-2 x} \log ^2(\log (x))}{x^2}",1,"(90*E^(5 - 2*x)*Log[Log[x]]^2)/x^2","A",1
10206,1,13,14,0.0047652,"\int \frac{-3969-1024 e^{1024 x/3969}}{3969} \, dx","Integrate[(-3969 - 1024*E^((1024*x)/3969))/3969,x]","-x-e^{1024 x/3969}","-x-e^{1024 x/3969}+4",1,"-E^((1024*x)/3969) - x","A",1
10207,1,32,29,0.0266496,"\int \frac{e^x (5-5 x)+4 x^2+4 x^3-2 x^2 \log \left(\frac{\log ^2(2)}{x^2}\right)}{4 x^2} \, dx","Integrate[(E^x*(5 - 5*x) + 4*x^2 + 4*x^3 - 2*x^2*Log[Log[2]^2/x^2])/(4*x^2),x]","\frac{x^2}{2}-\frac{1}{2} x \log \left(\frac{\log ^2(2)}{x^2}\right)-\frac{5 e^x}{4 x}","\frac{1}{2} x \left(x-\log \left(\frac{\log ^2(2)}{x^2}\right)\right)-\frac{5 e^x}{4 x}",1,"(-5*E^x)/(4*x) + x^2/2 - (x*Log[Log[2]^2/x^2])/2","A",1
10208,1,22,24,0.0491314,"\int \frac{-2 e^2 x+e^2 \log (4)+e^{\frac{32 x}{e^2}} \left(-2 e^2 x-32 x^2\right) \log (4)}{e^2 \log (4)} \, dx","Integrate[(-2*E^2*x + E^2*Log[4] + E^((32*x)/E^2)*(-2*E^2*x - 32*x^2)*Log[4])/(E^2*Log[4]),x]","x \left(-e^{\frac{32 x}{e^2}} x-\frac{x}{\log (4)}+1\right)","-e^{\frac{32 x}{e^2}} x^2-\frac{x^2}{\log (4)}+x",1,"x*(1 - E^((32*x)/E^2)*x - x/Log[4])","A",1
10209,1,18,18,0.3358866,"\int \frac{-x+\left(-x+x^2\right) \log (x)+\left(-2 x^2 \log (x)+2 x \log (x) \log (x \log (x))\right) \log (8 x-8 \log (x \log (x)))}{(-x \log (x)+\log (x) \log (x \log (x))) \log ^2(8 x-8 \log (x \log (x)))} \, dx","Integrate[(-x + (-x + x^2)*Log[x] + (-2*x^2*Log[x] + 2*x*Log[x]*Log[x*Log[x]])*Log[8*x - 8*Log[x*Log[x]]])/((-(x*Log[x]) + Log[x]*Log[x*Log[x]])*Log[8*x - 8*Log[x*Log[x]]]^2),x]","\frac{x^2}{\log (8 (x-\log (x \log (x))))}","\frac{x^2}{\log (8 (x-\log (x \log (x))))}",1,"x^2/Log[8*(x - Log[x*Log[x]])]","A",1
10210,1,25,23,0.5457291,"\int \frac{e^{-8 x-e^{\left.\frac{1}{4}\right/x} x+x \log \left(x^2\right)} \left(e^{3+\frac{1}{4 x}} (1-4 x)-24 e^3 x+4 e^3 x \log \left(x^2\right)\right)}{4 x} \, dx","Integrate[(E^(-8*x - E^(1/(4*x))*x + x*Log[x^2])*(E^(3 + 1/(4*x))*(1 - 4*x) - 24*E^3*x + 4*E^3*x*Log[x^2]))/(4*x),x]","e^{-e^{\left.\frac{1}{4}\right/x} x-8 x+3} \left(x^2\right)^x","e^{x \left(\log \left(x^2\right)-e^{\left.\frac{1}{4}\right/x}-8\right)+3}",1,"E^(3 - 8*x - E^(1/(4*x))*x)*(x^2)^x","A",1
10211,1,19,23,0.3363618,"\int \frac{-4+3 x+6 x^2-3 x^3+(-2+x) \log \left(2 x-x^2\right)}{4-4 x+x^2+2 x^3-x^4+\left(-2 x+x^2\right) \log \left(2 x-x^2\right)} \, dx","Integrate[(-4 + 3*x + 6*x^2 - 3*x^3 + (-2 + x)*Log[2*x - x^2])/(4 - 4*x + x^2 + 2*x^3 - x^4 + (-2*x + x^2)*Log[2*x - x^2]),x]","\log \left(x^3-x-x \log (-((x-2) x))+2\right)","\log \left(-\left(x \left(x^2-\log \left(2 x-x^2\right)\right)\right)+x-2\right)",1,"Log[2 - x + x^3 - x*Log[-((-2 + x)*x)]]","A",1
10212,1,19,28,0.1988712,"\int \frac{e^8+e^{2 x}+150 x^2-2 e^4 x^2+x^4+e^x \left(2 e^4-75 x-2 x^2\right)}{e^8 x+e^{2 x} x-2 e^4 x^3+x^5+e^x \left(2 e^4 x-2 x^3\right)} \, dx","Integrate[(E^8 + E^(2*x) + 150*x^2 - 2*E^4*x^2 + x^4 + E^x*(2*E^4 - 75*x - 2*x^2))/(E^8*x + E^(2*x)*x - 2*E^4*x^3 + x^5 + E^x*(2*E^4*x - 2*x^3)),x]","\frac{75}{-x^2+e^x+e^4}+\log (x)","\frac{75}{-x^2+e^x+e^4}-\log \left(\frac{1}{x}\right)+4-\log (4)",1,"75/(E^4 + E^x - x^2) + Log[x]","A",1
10213,1,28,28,0.0050579,"\int \frac{12+1246 x-622 x^3+(-8-623 x) \log (x)}{x^3} \, dx","Integrate[(12 + 1246*x - 622*x^3 + (-8 - 623*x)*Log[x])/x^3,x]","-\frac{4}{x^2}+\frac{4 \log (x)}{x^2}-622 x-\frac{623}{x}+\frac{623 \log (x)}{x}","x+\frac{(2 (x-2)-625 x) \left(x+\frac{1-\log (x)}{x}\right)}{x}-5",1,"-4/x^2 - 623/x - 622*x + (4*Log[x])/x^2 + (623*Log[x])/x","A",1
10214,1,27,24,0.0494946,"\int \frac{e^{e^3} \left(-3200+2400 x-600 x^2+50 x^3\right)+10 x \log (x)+\left(-3200+2400 x-600 x^2+50 x^3\right) \log (\log (x))}{\left(-64 x+48 x^2-12 x^3+x^4\right) \log (x)} \, dx","Integrate[(E^E^3*(-3200 + 2400*x - 600*x^2 + 50*x^3) + 10*x*Log[x] + (-3200 + 2400*x - 600*x^2 + 50*x^3)*Log[Log[x]])/((-64*x + 48*x^2 - 12*x^3 + x^4)*Log[x]),x]","10 \left(\frac{5}{2} \left(\log (\log (x))+e^{e^3}\right)^2-\frac{1}{2 (x-4)^2}\right)","-\frac{5}{(4-x)^2}+25 \left(\log (\log (x))+e^{e^3}\right)^2-5",1,"10*(-1/2*1/(-4 + x)^2 + (5*(E^E^3 + Log[Log[x]])^2)/2)","A",1
10215,1,28,24,0.0473681,"\int \frac{-6 e^{-3+e}+e^{-6+2 e} \left(4-4 x+x^2\right)}{4+8 x+4 x^2+e^{-3+e} \left(-8 x-4 x^2+4 x^3\right)+e^{-6+2 e} \left(4 x^2-4 x^3+x^4\right)} \, dx","Integrate[(-6*E^(-3 + E) + E^(-6 + 2*E)*(4 - 4*x + x^2))/(4 + 8*x + 4*x^2 + E^(-3 + E)*(-8*x - 4*x^2 + 4*x^3) + E^(-6 + 2*E)*(4*x^2 - 4*x^3 + x^4)),x]","\frac{e^e (2-x)}{e^e (x-2) x+2 e^3 (x+1)}","\frac{1}{e^{3-e} \left(1-\frac{3 x}{x-2}\right)-x}",1,"(E^E*(2 - x))/(E^E*(-2 + x)*x + 2*E^3*(1 + x))","A",1
10216,1,22,18,0.025772,"\int \frac{8+10 x+e^{9+x} (4+5 x) \left(-9 x-5 x^2\right)}{4 x+5 x^2} \, dx","Integrate[(8 + 10*x + E^(9 + x)*(4 + 5*x)*(-9*x - 5*x^2))/(4*x + 5*x^2),x]","2 \log (x)-e^x \left(5 e^9 x+4 e^9\right)","\log \left(x^2\right)-e^{x+9} (5 x+4)+1",1,"-(E^x*(4*E^9 + 5*E^9*x)) + 2*Log[x]","A",1
10217,1,24,22,0.0066718,"\int \frac{-24+2 x^2+10 x^4}{-4 x+5 x^3} \, dx","Integrate[(-24 + 2*x^2 + 10*x^4)/(-4*x + 5*x^3),x]","2 \left(\frac{x^2}{2}-\log \left(4-5 x^2\right)+3 \log (x)\right)","\log \left(\frac{25 x^4}{\left(x-\frac{4}{5 x}\right)^2}\right)+x^2-4",1,"2*(x^2/2 + 3*Log[x] - Log[4 - 5*x^2])","A",1
10218,1,26,27,0.1153361,"\int \frac{-4 x+8 x \log (x)+20 e^{13-x} \log ^2(x)}{5 e^3 \log ^2(x)} \, dx","Integrate[(-4*x + 8*x*Log[x] + 20*E^(13 - x)*Log[x]^2)/(5*E^3*Log[x]^2),x]","\frac{\frac{4 x^2}{\log (x)}-20 e^{13-x}}{5 e^3}","4 \left(\frac{x^2}{5 e^3 \log (x)}-e^{10-x}+5\right)",1,"(-20*E^(13 - x) + (4*x^2)/Log[x])/(5*E^3)","A",1
10219,1,52,38,0.4590103,"\int \frac{x (i \pi +\log (3))^4-2 (i \pi +\log (3))^4 \log (x)+\left(x (i \pi +\log (3))^4-(i \pi +\log (3))^4 \log ^2(x)\right) \log \left(x-\log ^2(x)\right)+\left(-4 e^{4+x} x^3 (i \pi +\log (3))^2+8 e^{4+x} x^2 (i \pi +\log (3))^2 \log (x)\right) \log ^2\left(x-\log ^2(x)\right)+\left(e^{4+x} \left(-4 x^3+2 x^4\right) (i \pi +\log (3))^2+e^{4+x} \left(4 x^2-2 x^3\right) (i \pi +\log (3))^2 \log ^2(x)\right) \log ^3\left(x-\log ^2(x)\right)+\left(-8 e^{8+2 x} x^6+8 e^{8+2 x} x^5 \log ^2(x)\right) \log ^5\left(x-\log ^2(x)\right)}{\left(-4 x^6+4 x^5 \log ^2(x)\right) \log ^5\left(x-\log ^2(x)\right)} \, dx","Integrate[(x*(I*Pi + Log[3])^4 - 2*(I*Pi + Log[3])^4*Log[x] + (x*(I*Pi + Log[3])^4 - (I*Pi + Log[3])^4*Log[x]^2)*Log[x - Log[x]^2] + (-4*E^(4 + x)*x^3*(I*Pi + Log[3])^2 + 8*E^(4 + x)*x^2*(I*Pi + Log[3])^2*Log[x])*Log[x - Log[x]^2]^2 + (E^(4 + x)*(-4*x^3 + 2*x^4)*(I*Pi + Log[3])^2 + E^(4 + x)*(4*x^2 - 2*x^3)*(I*Pi + Log[3])^2*Log[x]^2)*Log[x - Log[x]^2]^3 + (-8*E^(8 + 2*x)*x^6 + 8*E^(8 + 2*x)*x^5*Log[x]^2)*Log[x - Log[x]^2]^5)/((-4*x^6 + 4*x^5*Log[x]^2)*Log[x - Log[x]^2]^5),x]","\frac{\left(4 e^{x+4} x^2 \log ^2\left(x-\log ^2(x)\right)+(\pi -i \log (3))^2\right)^2}{16 x^4 \log ^4\left(x-\log ^2(x)\right)}","\left(-e^{x+4}+\frac{(\log (3)+i \pi )^2}{4 x^2 \log ^2\left(x-\log ^2(x)\right)}\right)^2",1,"((Pi - I*Log[3])^2 + 4*E^(4 + x)*x^2*Log[x - Log[x]^2]^2)^2/(16*x^4*Log[x - Log[x]^2]^4)","A",1
10220,1,33,30,0.1268257,"\int \frac{e^{5+\frac{2 x}{e^5}} \left(12+12 x+3 x^2\right)+e^5 \left(12 x^2+3 e^2 x^2+12 x^3+3 x^4+e \left(-16 x^2-6 x^3\right)\right)+e^{\frac{x}{e^5}} \left(e \left(8 x+4 x^2\right)+e^5 \left(-24 x-24 x^2-6 x^3+e \left(-8+12 x+6 x^2\right)\right)\right)}{e^{5+\frac{2 x}{e^5}} \left(12+12 x+3 x^2\right)+e^{5+\frac{x}{e^5}} \left(-24 x-24 x^2-6 x^3+e \left(12 x+6 x^2\right)\right)+e^5 \left(12 x^2+3 e^2 x^2+12 x^3+3 x^4+e \left(-12 x^2-6 x^3\right)\right)} \, dx","Integrate[(E^(5 + (2*x)/E^5)*(12 + 12*x + 3*x^2) + E^5*(12*x^2 + 3*E^2*x^2 + 12*x^3 + 3*x^4 + E*(-16*x^2 - 6*x^3)) + E^(x/E^5)*(E*(8*x + 4*x^2) + E^5*(-24*x - 24*x^2 - 6*x^3 + E*(-8 + 12*x + 6*x^2))))/(E^(5 + (2*x)/E^5)*(12 + 12*x + 3*x^2) + E^(5 + x/E^5)*(-24*x - 24*x^2 - 6*x^3 + E*(12*x + 6*x^2)) + E^5*(12*x^2 + 3*E^2*x^2 + 12*x^3 + 3*x^4 + E*(-12*x^2 - 6*x^3))),x]","\frac{1}{3} x \left(3-\frac{4 e}{-((x+2) x)+e x+e^{\frac{x}{e^5}} (x+2)}\right)","x+\frac{4}{\frac{3 e x}{\left(e^{\frac{x}{e^5}}-x\right) (x+2)}+3}",1,"(x*(3 - (4*E)/(E*x + E^(x/E^5)*(2 + x) - x*(2 + x))))/3","A",1
10221,0,0,24,3.4071158,"\int \frac{3^{-\frac{2}{-5-x-x^2+\log (x)}} \left(-4050-1620 x-1782 x^2-324 x^3-162 x^4+\left(54-54 x-108 x^2\right) \log (3)+\left(1620+324 x+324 x^2\right) \log (x)-162 \log ^2(x)\right)}{25 x^7+10 x^8+11 x^9+2 x^{10}+x^{11}+\left(-10 x^7-2 x^8-2 x^9\right) \log (x)+x^7 \log ^2(x)} \, dx","Integrate[(-4050 - 1620*x - 1782*x^2 - 324*x^3 - 162*x^4 + (54 - 54*x - 108*x^2)*Log[3] + (1620 + 324*x + 324*x^2)*Log[x] - 162*Log[x]^2)/(3^(2/(-5 - x - x^2 + Log[x]))*(25*x^7 + 10*x^8 + 11*x^9 + 2*x^10 + x^11 + (-10*x^7 - 2*x^8 - 2*x^9)*Log[x] + x^7*Log[x]^2)),x]","\int \frac{3^{-\frac{2}{-5-x-x^2+\log (x)}} \left(-4050-1620 x-1782 x^2-324 x^3-162 x^4+\left(54-54 x-108 x^2\right) \log (3)+\left(1620+324 x+324 x^2\right) \log (x)-162 \log ^2(x)\right)}{25 x^7+10 x^8+11 x^9+2 x^{10}+x^{11}+\left(-10 x^7-2 x^8-2 x^9\right) \log (x)+x^7 \log ^2(x)} \, dx","\frac{3^{\frac{2}{x^2+x-\log (x)+5}+3}}{x^6}-3",1,"Integrate[(-4050 - 1620*x - 1782*x^2 - 324*x^3 - 162*x^4 + (54 - 54*x - 108*x^2)*Log[3] + (1620 + 324*x + 324*x^2)*Log[x] - 162*Log[x]^2)/(3^(2/(-5 - x - x^2 + Log[x]))*(25*x^7 + 10*x^8 + 11*x^9 + 2*x^10 + x^11 + (-10*x^7 - 2*x^8 - 2*x^9)*Log[x] + x^7*Log[x]^2)), x]","F",-1
10222,1,26,25,0.0743149,"\int \frac{-2 x+2 e^{2/x} x+20 x^3+12 x^4+2 x^5+e^{\frac{1}{x}} \left(-2-2 x+12 x^2+4 x^3\right)+\left(2 x-4 e^{\frac{1}{x}} x-12 x^2-4 x^3\right) \log (x)+2 x \log ^2(x)}{e^{2/x} x+9 x^3+6 x^4+x^5+e^{\frac{1}{x}} \left(6 x^2+2 x^3\right)+\left(-2 e^{\frac{1}{x}} x-6 x^2-2 x^3\right) \log (x)+x \log ^2(x)} \, dx","Integrate[(-2*x + 2*E^(2/x)*x + 20*x^3 + 12*x^4 + 2*x^5 + E^x^(-1)*(-2 - 2*x + 12*x^2 + 4*x^3) + (2*x - 4*E^x^(-1)*x - 12*x^2 - 4*x^3)*Log[x] + 2*x*Log[x]^2)/(E^(2/x)*x + 9*x^3 + 6*x^4 + x^5 + E^x^(-1)*(6*x^2 + 2*x^3) + (-2*E^x^(-1)*x - 6*x^2 - 2*x^3)*Log[x] + x*Log[x]^2),x]","2 \left(\frac{x}{-x^2-3 x-e^{\frac{1}{x}}+\log (x)}+x\right)","2 \left(x-\frac{x}{x (x+3)+e^{\frac{1}{x}}-\log (x)}-2\right)",1,"2*(x + x/(-E^x^(-1) - 3*x - x^2 + Log[x]))","A",1
10223,1,35,30,0.0078379,"\int \frac{-2-4 x-5 x^2-10 x^3-\log (2)+(2+\log (2)) \log (x)}{5 x^2} \, dx","Integrate[(-2 - 4*x - 5*x^2 - 10*x^3 - Log[2] + (2 + Log[2])*Log[x])/(5*x^2),x]","-x^2-x-\frac{4 \log (x)}{5}-\frac{\log (2) \log (x)}{5 x}-\frac{2 \log (x)}{5 x}","-x^2-x-\log (x)+\frac{(x-2-\log (2)) \log (x)}{5 x}-4",1,"-x - x^2 - (4*Log[x])/5 - (2*Log[x])/(5*x) - (Log[2]*Log[x])/(5*x)","A",1
10224,1,13,13,0.0023524,"\int \frac{1-\log (10 x \log (3))}{25 x^2} \, dx","Integrate[(1 - Log[10*x*Log[3]])/(25*x^2),x]","\frac{\log (10 x \log (3))}{25 x}","\frac{\log (10 x \log (3))}{25 x}",1,"Log[10*x*Log[3]]/(25*x)","A",1
10225,1,17,17,0.4574281,"\int \frac{71+e^{18+12 x+2 x^2}+e^{9+6 x+x^2} \left(17-6 x-2 x^2\right)+\left(17+2 e^{9+6 x+x^2}\right) \log (x)+\log ^2(x)}{64+16 e^{9+6 x+x^2}+e^{18+12 x+2 x^2}+\left(16+2 e^{9+6 x+x^2}\right) \log (x)+\log ^2(x)} \, dx","Integrate[(71 + E^(18 + 12*x + 2*x^2) + E^(9 + 6*x + x^2)*(17 - 6*x - 2*x^2) + (17 + 2*E^(9 + 6*x + x^2))*Log[x] + Log[x]^2)/(64 + 16*E^(9 + 6*x + x^2) + E^(18 + 12*x + 2*x^2) + (16 + 2*E^(9 + 6*x + x^2))*Log[x] + Log[x]^2),x]","x \left(\frac{1}{e^{(x+3)^2}+\log (x)+8}+1\right)","x+\frac{x}{e^{(x+3)^2}+\log (x)+8}",1,"x*(1 + (8 + E^(3 + x)^2 + Log[x])^(-1))","A",1
10226,1,24,25,0.0709995,"\int \frac{1+\left(-1-162 x^2+216 e^e x^2-108 e^{2 e} x^2+24 e^{3 e} x^2-2 e^{4 e} x^2\right) \log \left(\frac{1}{x}\right)}{x \log \left(\frac{1}{x}\right)} \, dx","Integrate[(1 + (-1 - 162*x^2 + 216*E^E*x^2 - 108*E^(2*E)*x^2 + 24*E^(3*E)*x^2 - 2*E^(4*E)*x^2)*Log[x^(-1)])/(x*Log[x^(-1)]),x]","-\left(e^e-3\right)^4 x^2-\log (x)-\log \left(\log \left(\frac{1}{x}\right)\right)","-\left(3-e^e\right)^4 x^2-\log \left(x \log \left(\frac{1}{x}\right)\right)-4",1,"-((-3 + E^E)^4*x^2) - Log[x] - Log[Log[x^(-1)]]","A",1
10227,1,19,23,0.001377,"\int \left(-8 x+16 x^2\right) \log (3) \, dx","Integrate[(-8*x + 16*x^2)*Log[3],x]","8 \left(\frac{2 x^3}{3}-\frac{x^2}{2}\right) \log (3)","\frac{2}{3} (2 (x-2)+4) \left(4-\frac{3}{x}\right) x^2 \log (3)",1,"8*(-1/2*x^2 + (2*x^3)/3)*Log[3]","A",1
10228,1,11,21,0.000683,"\int \frac{1}{3} (1+80 x) \, dx","Integrate[(1 + 80*x)/3,x]","\frac{1}{3} \left(40 x^2+x\right)","\frac{2}{3} \left(20 x^2-x+1-\log (2)\right)+x+1",1,"(x + 40*x^2)/3","A",1
10229,1,27,27,0.0379589,"\int \frac{\left(x-2 x \log (4)+x \log ^2(4)\right) \log \left(\frac{x}{2}\right)+\left(2 x^2-4 x^2 \log (4)+2 x^2 \log ^2(4)\right) \log \left(\frac{x}{2}\right) \log (x)+\left(2 x^2-4 x^2 \log (4)+2 x^2 \log ^2(4)\right) \log \left(\frac{x}{2}\right) \log ^2(x)+100 \log ^3\left(\log \left(\frac{x}{2}\right)\right)}{\left(x-2 x \log (4)+x \log ^2(4)\right) \log \left(\frac{x}{2}\right)} \, dx","Integrate[((x - 2*x*Log[4] + x*Log[4]^2)*Log[x/2] + (2*x^2 - 4*x^2*Log[4] + 2*x^2*Log[4]^2)*Log[x/2]*Log[x] + (2*x^2 - 4*x^2*Log[4] + 2*x^2*Log[4]^2)*Log[x/2]*Log[x]^2 + 100*Log[Log[x/2]]^3)/((x - 2*x*Log[4] + x*Log[4]^2)*Log[x/2]),x]","x^2 \log ^2(x)+x+\frac{25 \log ^4\left(\log \left(\frac{x}{2}\right)\right)}{(\log (4)-1)^2}","x^2 \log ^2(x)+x+\frac{25 \log ^4\left(\log \left(\frac{x}{2}\right)\right)}{(\log (4)-1)^2}",1,"x + x^2*Log[x]^2 + (25*Log[Log[x/2]]^4)/(-1 + Log[4])^2","A",1
10230,1,26,24,0.1256929,"\int \frac{-395641-9 e^2+32708 x-676 x^2+e^{-3+x} (-1965-9 e+78 x)+e (-3774+156 x)}{395641+9 e^2+e (3774-156 x)-32708 x+676 x^2} \, dx","Integrate[(-395641 - 9*E^2 + 32708*x - 676*x^2 + E^(-3 + x)*(-1965 - 9*E + 78*x) + E*(-3774 + 156*x))/(395641 + 9*E^2 + E*(3774 - 156*x) - 32708*x + 676*x^2),x]","\frac{-e^3 x-\frac{3 e^x}{-26 x+3 e+629}}{e^3}","-x-\frac{e^{x-3}}{-\frac{26}{3} (x-25)+e-7}+4",1,"((-3*E^x)/(629 + 3*E - 26*x) - E^3*x)/E^3","A",1
10231,1,27,25,1.3930081,"\int \frac{8 e^5 x^{14}+e^{4 x} \left(16 x^7-8 x^8+e^5 \left(-14 x^6+8 x^7\right)\right)}{e^{8 x}+8 e^{4 x} x^8+16 x^{16}} \, dx","Integrate[(8*E^5*x^14 + E^(4*x)*(16*x^7 - 8*x^8 + E^5*(-14*x^6 + 8*x^7)))/(E^(8*x) + 8*E^(4*x)*x^8 + 16*x^16),x]","\frac{2 \left(x^8-e^5 x^7\right)}{4 x^8+e^{4 x}}","-\frac{2 \left(e^5-x\right)}{\left(\frac{e^{4 x}}{x^8}+4\right) x}",1,"(2*(-(E^5*x^7) + x^8))/(E^(4*x) + 4*x^8)","A",1
10232,1,42,30,0.1563713,"\int \frac{e^{x^6} x^2+e^{x^6} (1-2 x) \log (\log (3))+e^{e^{e^x-x^6}} \left(-e^{x^6}+e^{e^x} \left(e^x x-6 x^6+\left(-e^x+6 x^5\right) \log (\log (3))\right)\right)}{e^{x^6} x^2-2 e^{x^6} x \log (\log (3))+e^{x^6} \log ^2(\log (3))} \, dx","Integrate[(E^x^6*x^2 + E^x^6*(1 - 2*x)*Log[Log[3]] + E^E^(E^x - x^6)*(-E^x^6 + E^E^x*(E^x*x - 6*x^6 + (-E^x + 6*x^5)*Log[Log[3]])))/(E^x^6*x^2 - 2*E^x^6*x*Log[Log[3]] + E^x^6*Log[Log[3]]^2),x]","\frac{e^{e^{e^x-x^6}}+x^2-x \log (\log (3))+(\log (\log (3))-1) \log (\log (3))}{x-\log (\log (3))}","\frac{e^{e^{e^x-x^6}}+x^2-x}{x-\log (\log (3))}",1,"(E^E^(E^x - x^6) + x^2 - x*Log[Log[3]] + (-1 + Log[Log[3]])*Log[Log[3]])/(x - Log[Log[3]])","A",1
10233,1,13,29,0.075103,"\int \frac{38 x+2 x^2+36 \log (x)}{x^3+x^2 \log (x)} \, dx","Integrate[(38*x + 2*x^2 + 36*Log[x])/(x^3 + x^2*Log[x]),x]","2 \log (x+\log (x))-\frac{36}{x}","\log \left(e^{-\frac{2 \left(\frac{2 \left(x-x^2\right)}{x}+16\right)}{x}} (x+\log (x))^2\right)",1,"-36/x + 2*Log[x + Log[x]]","A",1
10234,1,62,20,0.0258286,"\int \frac{-4 x+x^6 (3+x)+x^3 (3+2 x) \log (2)+x \log ^2(2)}{-4 x+x^7+2 x^4 \log (2)+x \log ^2(2)} \, dx","Integrate[(-4*x + x^6*(3 + x) + x^3*(3 + 2*x)*Log[2] + x*Log[2]^2)/(-4*x + x^7 + 2*x^4*Log[2] + x*Log[2]^2),x]","\frac{1}{3} \text{RootSum}\left[\text{$\#$1}^6+\text{$\#$1}^3 \log (4)-4+\log ^2(2)\&,\frac{3 \text{$\#$1}^3 \log (x-\text{$\#$1})+\log (8) \log (x-\text{$\#$1})}{2 \text{$\#$1}^3+\log (4)}\&\right]+x","\frac{1}{2} \left(\log \left(\left(x^3+\log (2)\right)^2-4\right)+5\right)+x+64",1,"x + RootSum[-4 + Log[2]^2 + Log[4]*#1^3 + #1^6 & , (Log[8]*Log[x - #1] + 3*Log[x - #1]*#1^3)/(Log[4] + 2*#1^3) & ]/3","C",1
10235,1,18,21,0.0956666,"\int \frac{-2-2 x+e^x \left(-6+x^2\right)}{1+2 e^x+e^{2 x}} \, dx","Integrate[(-2 - 2*x + E^x*(-6 + x^2))/(1 + 2*E^x + E^(2*x)),x]","\frac{-x^2-2 x+4}{e^x+1}","\frac{-x^2-2 x+e^x+5}{e^x+1}",1,"(4 - 2*x - x^2)/(1 + E^x)","A",1
10236,1,13,22,0.009669,"\int \frac{20-20 e^2+20 e x-5 x^2}{4 e^2-4 e x+x^2} \, dx","Integrate[(20 - 20*E^2 + 20*E*x - 5*x^2)/(4*E^2 - 4*E*x + x^2),x]","-5 \left(x+\frac{4}{x-2 e}\right)","4 \left(\frac{5}{2 e-x}-x\right)-x-4071",1,"-5*(x + 4/(-2*E + x))","A",1
10237,1,44,32,0.0066283,"\int \left(-300 e^4 x-100 x^3+\left(150 e^4+150 x^2\right) \log (4)-50 x \log ^2(4)\right) \, dx","Integrate[-300*E^4*x - 100*x^3 + (150*E^4 + 150*x^2)*Log[4] - 50*x*Log[4]^2,x]","-50 \left(\frac{x^4}{2}-x^3 \log (4)+3 e^4 x^2+\frac{1}{2} x^2 \log ^2(4)-3 e^4 x \log (4)\right)","-25 x^2 \left(-x-\frac{3 e^4}{x}+\log (4)\right)^2+3 e^{-e^2}+4",1,"-50*(3*E^4*x^2 + x^4/2 - 3*E^4*x*Log[4] - x^3*Log[4] + (x^2*Log[4]^2)/2)","A",1
10238,1,23,25,0.3776694,"\int \frac{e^{\frac{x^2}{6+14 x+6 x^2+4 x^3}} \left(6 x+7 x^2-2 x^4\right)}{18+84 x+134 x^2+108 x^3+74 x^4+24 x^5+8 x^6} \, dx","Integrate[(E^(x^2/(6 + 14*x + 6*x^2 + 4*x^3))*(6*x + 7*x^2 - 2*x^4))/(18 + 84*x + 134*x^2 + 108*x^3 + 74*x^4 + 24*x^5 + 8*x^6),x]","e^{\frac{x^2}{4 x^3+6 x^2+14 x+6}}","e^{\frac{x}{2 (2 x+1) \left(x+\frac{x+3}{x}\right)}}",1,"E^(x^2/(6 + 14*x + 6*x^2 + 4*x^3))","A",1
10239,1,30,33,0.488919,"\int \frac{81 x^2-66 x^3+18 x^4-2 x^5+63 x^6-30 x^7+5 x^8+e^x \left(-9 x^2+7 x^3-x^4-7 x^6+x^7\right)}{162+2 e^{2 x}-180 x+86 x^2-20 x^3+2 x^4+e^x \left(-36+20 x-4 x^2\right)} \, dx","Integrate[(81*x^2 - 66*x^3 + 18*x^4 - 2*x^5 + 63*x^6 - 30*x^7 + 5*x^8 + E^x*(-9*x^2 + 7*x^3 - x^4 - 7*x^6 + x^7))/(162 + 2*E^(2*x) - 180*x + 86*x^2 - 20*x^3 + 2*x^4 + E^x*(-36 + 20*x - 4*x^2)),x]","\frac{x^3 \left(x^4-x+3\right)}{2 \left(x^2-5 x-e^x+9\right)}","\frac{x^3 \left(x^4-x+3\right)}{2 \left((3-x)^2-e^x+x\right)}-1",1,"(x^3*(3 - x + x^4))/(2*(9 - E^x - 5*x + x^2))","A",1
10240,1,21,22,0.1259087,"\int \frac{2+2 e^{2 x}+e^x (1+4 x)+e^{3 x^2} \left(6 e^x x+12 x^2\right)}{e^x+2 x} \, dx","Integrate[(2 + 2*E^(2*x) + E^x*(1 + 4*x) + E^(3*x^2)*(6*E^x*x + 12*x^2))/(E^x + 2*x),x]","e^{3 x^2}+2 e^x+\log \left(2 x+e^x\right)","e^{3 x^2}+2 e^x+\log \left(2 x+e^x\right)-1",1,"2*E^x + E^(3*x^2) + Log[E^x + 2*x]","A",1
10241,1,32,34,3.4596985,"\int \frac{e^{e^x+x^2} \left(4+2 x-8 x^2-2 x^3+e^x \left(-4 x-x^2\right)\right)+e^{x^2} \left(-x^2+8 x^3+2 x^4+e^x \left(32-16 x-78 x^2-34 x^3-4 x^4\right)\right)}{16 x^2+8 x^3+x^4} \, dx","Integrate[(E^(E^x + x^2)*(4 + 2*x - 8*x^2 - 2*x^3 + E^x*(-4*x - x^2)) + E^x^2*(-x^2 + 8*x^3 + 2*x^4 + E^x*(32 - 16*x - 78*x^2 - 34*x^3 - 4*x^4)))/(16*x^2 + 8*x^3 + x^4),x]","-\frac{e^{x^2} \left(-x+e^{e^x}+2 e^x (x+4)\right)}{x (x+4)}","\frac{2 e^{x^2} \left(\frac{x-e^{e^x}}{2 (x+4)}-e^x\right)}{x}",1,"-((E^x^2*(E^E^x - x + 2*E^x*(4 + x)))/(x*(4 + x)))","A",1
10242,1,53,26,0.7715876,"\int \frac{300+690 x+204 x^2+18 x^3+e^x \left(-500-2150 x-1215 x^2-240 x^3-15 x^4\right)+\left(-300-120 x-12 x^2+e^x \left(500+700 x+220 x^2+20 x^3\right)\right) \log (x)}{100+40 x+4 x^2} \, dx","Integrate[(300 + 690*x + 204*x^2 + 18*x^3 + E^x*(-500 - 2150*x - 1215*x^2 - 240*x^3 - 15*x^4) + (-300 - 120*x - 12*x^2 + E^x*(500 + 700*x + 220*x^2 + 20*x^3))*Log[x])/(100 + 40*x + 4*x^2),x]","\frac{1}{4} \left(9 x^2+e^x \left(-15 x^2-60 x-\frac{500}{x+5}+100\right)+36 x+\frac{300}{x+5}+4 \left(5 e^x-3\right) x \log (x)\right)","\left(5 e^x-3\right) x \left(-\frac{x}{x+5}-\frac{3 x}{4}+\log (x)-2\right)",1,"(36*x + 9*x^2 + 300/(5 + x) + E^x*(100 - 60*x - 15*x^2 - 500/(5 + x)) + 4*(-3 + 5*E^x)*x*Log[x])/4","B",1
10243,1,29,26,0.1842584,"\int \frac{-24576+1152 x^2+96 x^3+e^{2 x} \left(8192 x+2560 x^2-2560 x^3+96 x^4+64 x^5\right)}{64+16 x+x^2} \, dx","Integrate[(-24576 + 1152*x^2 + 96*x^3 + E^(2*x)*(8192*x + 2560*x^2 - 2560*x^3 + 96*x^4 + 64*x^5))/(64 + 16*x + x^2),x]","\frac{16 x \left(3 \left(x^2-64\right)+2 e^{2 x} x (x-4)^2\right)}{x+8}","16 (4-x)^2 \left(\frac{2 e^{2 x} x^2}{x+8}+3\right)",1,"(16*x*(2*E^(2*x)*(-4 + x)^2*x + 3*(-64 + x^2)))/(8 + x)","A",1
10244,1,34,25,0.0073679,"\int \frac{-64-4 x+x^2+32 \log (2)-4 \log ^2(2)+4 \log \left(2 e^x\right)}{x^2} \, dx","Integrate[(-64 - 4*x + x^2 + 32*Log[2] - 4*Log[2]^2 + 4*Log[2*E^x])/x^2,x]","x+\frac{64}{x}+\frac{4 \log ^2(2)}{x}-\frac{4 \log \left(2 e^x\right)}{x}-\frac{32 \log (2)}{x}","x+\frac{4 \left((4-\log (2))^2-\log \left(2 e^x\right)\right)}{x}+5",1,"64/x + x - (32*Log[2])/x + (4*Log[2]^2)/x - (4*Log[2*E^x])/x","A",1
10245,1,16,16,0.1117837,"\int \frac{\exp \left(-2 x+\frac{e^{-2 x} \left(9-10000 e^{2 x} x^2\right)}{10000 x^2}\right) (-9-9 x)}{5000 x^3} \, dx","Integrate[(E^(-2*x + (9 - 10000*E^(2*x)*x^2)/(10000*E^(2*x)*x^2))*(-9 - 9*x))/(5000*x^3),x]","e^{\frac{9 e^{-2 x}}{10000 x^2}-1}","e^{\frac{9 e^{-2 x}}{10000 x^2}-1}",1,"E^(-1 + 9/(10000*E^(2*x)*x^2))","A",1
10246,1,12,16,0.0012196,"\int \frac{-1+2 x^2+4 x^3}{x^2} \, dx","Integrate[(-1 + 2*x^2 + 4*x^3)/x^2,x]","2 x^2+2 x+\frac{1}{x}","2 \left(x^2+x+e^{16}+4\right)+\frac{1}{x}-5",1,"x^(-1) + 2*x + 2*x^2","A",1
10247,1,27,34,1.7186997,"\int \frac{e^{2 x} \left(189-243 x+117 x^2-25 x^3+2 x^4+e^{\frac{2304+768 x+64 x^2}{9-6 x+x^2}} \left(27+6831 x+1215 x^2-19 x^3+2 x^4\right)\right)}{-243+405 x-270 x^2+90 x^3-15 x^4+x^5+e^{\frac{2 \left(2304+768 x+64 x^2\right)}{9-6 x+x^2}} \left(-27 x^2+27 x^3-9 x^4+x^5\right)+e^{\frac{2304+768 x+64 x^2}{9-6 x+x^2}} \left(162 x-216 x^2+108 x^3-24 x^4+2 x^5\right)} \, dx","Integrate[(E^(2*x)*(189 - 243*x + 117*x^2 - 25*x^3 + 2*x^4 + E^((2304 + 768*x + 64*x^2)/(9 - 6*x + x^2))*(27 + 6831*x + 1215*x^2 - 19*x^3 + 2*x^4)))/(-243 + 405*x - 270*x^2 + 90*x^3 - 15*x^4 + x^5 + E^((2*(2304 + 768*x + 64*x^2))/(9 - 6*x + x^2))*(-27*x^2 + 27*x^3 - 9*x^4 + x^5) + E^((2304 + 768*x + 64*x^2)/(9 - 6*x + x^2))*(162*x - 216*x^2 + 108*x^3 - 24*x^4 + 2*x^5)),x]","\frac{e^{2 x}}{e^{\frac{64 (x+6)^2}{(x-3)^2}} x+x-3}","\frac{e^{2 x}}{e^{16 \left(\frac{5 x+3}{3-x}+3\right)^2} x+x-3}",1,"E^(2*x)/(-3 + x + E^((64*(6 + x)^2)/(-3 + x)^2)*x)","A",1
10248,1,9,16,0.0303362,"\int \frac{1}{-2 e-2 x+(e+x) \log (5 e+5 x)} \, dx","Integrate[(-2*E - 2*x + (E + x)*Log[5*E + 5*x])^(-1),x]","\log (\log (5 (x+e))-2)","\log (2-\log (5 (x+e)))+\log \left(\frac{93}{7}\right)",1,"Log[-2 + Log[5*(E + x)]]","A",1
10249,1,83,21,0.0851664,"\int \frac{618-164770 x-24360 x^2-33206 x^3-4820 x^4-240 x^5-4 x^6+e^{15} \left(20 x+4 x^3\right)+e^{10} \left(-1212 x-60 x^2-240 x^3-12 x^4\right)+e^5 \left(-30+24480 x+2418 x^2+4860 x^3+480 x^4+12 x^5\right)}{-8000+e^{15}+e^{10} (-60-3 x)-1200 x-60 x^2-x^3+e^5 \left(1200+120 x+3 x^2\right)} \, dx","Integrate[(618 - 164770*x - 24360*x^2 - 33206*x^3 - 4820*x^4 - 240*x^5 - 4*x^6 + E^15*(20*x + 4*x^3) + E^10*(-1212*x - 60*x^2 - 240*x^3 - 12*x^4) + E^5*(-30 + 24480*x + 2418*x^2 + 4860*x^3 + 480*x^4 + 12*x^5))/(-8000 + E^15 + E^10*(-60 - 3*x) - 1200*x - 60*x^2 - x^3 + E^5*(1200 + 120*x + 3*x^2)),x]","x^4+10 x^2+6 x+e^5 \left(\frac{240}{-x+e^5-20}+32394\right)+e^{10} \left(\frac{6}{x-e^5+20}-2410\right)+\frac{2430}{x-e^5+20}+\frac{9}{\left(x-e^5+20\right)^2}-e^{20}+80 e^{15}-163880","\left(x^2+\frac{3}{x-e^5+20}+5\right)^2+3",1,"-163880 + 80*E^15 - E^20 + E^5*(32394 + 240/(-20 + E^5 - x)) + 6*x + 10*x^2 + x^4 + 9/(20 - E^5 + x)^2 + 2430/(20 - E^5 + x) + E^10*(-2410 + 6/(20 - E^5 + x))","B",1
10250,1,22,22,0.0947922,"\int \frac{e^{2 x^2+4 e^{4 x} x^2} \left(e^5 \left(-18+36 x^2\right)+e^{5+4 x} \left(72 x^2+144 x^3\right)\right)}{x^3} \, dx","Integrate[(E^(2*x^2 + 4*E^(4*x)*x^2)*(E^5*(-18 + 36*x^2) + E^(5 + 4*x)*(72*x^2 + 144*x^3)))/x^3,x]","\frac{9 e^{\left(4 e^{4 x}+2\right) x^2+5}}{x^2}","\frac{9 e^{2 x \left(2 e^{4 x} x+x\right)+5}}{x^2}",1,"(9*E^(5 + (2 + 4*E^(4*x))*x^2))/x^2","A",1
10251,1,23,18,0.0371277,"\int e^{-x} \left(e^x+e^4 \left(2-8 x+3 x^2\right)\right) \, dx","Integrate[(E^x + E^4*(2 - 8*x + 3*x^2))/E^x,x]","e^{-x} \left(2 e^4 x-3 e^4 x^2\right)+x","-e^{4-x} (3 x-2) x+x+6",1,"x + (2*E^4*x - 3*E^4*x^2)/E^x","A",1
10252,1,22,23,0.1555676,"\int \frac{1953125 x^3-1953125 x^4+781250 x^5-156250 x^6+15625 x^7-625 x^8+e^{\frac{\log ^4(3)}{390625 x^2-312500 x^3+93750 x^4-12500 x^5+625 x^6}} (10-6 x) \log ^4(3)}{-1953125 x^3+1953125 x^4-781250 x^5+156250 x^6-15625 x^7+625 x^8} \, dx","Integrate[(1953125*x^3 - 1953125*x^4 + 781250*x^5 - 156250*x^6 + 15625*x^7 - 625*x^8 + E^(Log[3]^4/(390625*x^2 - 312500*x^3 + 93750*x^4 - 12500*x^5 + 625*x^6))*(10 - 6*x)*Log[3]^4)/(-1953125*x^3 + 1953125*x^4 - 781250*x^5 + 156250*x^6 - 15625*x^7 + 625*x^8),x]","e^{\frac{\log ^4(3)}{625 (x-5)^4 x^2}}-x","e^{\frac{\log ^4(3)}{625 (x-5)^4 x^2}}-x-4",1,"E^(Log[3]^4/(625*(-5 + x)^4*x^2)) - x","A",1
10253,1,28,25,0.0509478,"\int \frac{1}{2} e^{\frac{1}{4} \left(-11+4 e^x\right)} \left(1+e^{\frac{1}{4} \left(11-4 e^x\right)} \left(20 e^x+4 e^{2 x}\right)+e^x x\right) \, dx","Integrate[(E^((-11 + 4*E^x)/4)*(1 + E^((11 - 4*E^x)/4)*(20*E^x + 4*E^(2*x)) + E^x*x))/2,x]","\frac{1}{2} \left(e^{e^x-\frac{11}{4}} x+20 e^x+2 e^{2 x}\right)","\left(e^x+5\right)^2+\frac{1}{2} \left(e^{e^x-\frac{11}{4}} x-4\right)",1,"(20*E^x + 2*E^(2*x) + E^(-11/4 + E^x)*x)/2","A",1
10254,1,3,3,0.0001579,"\int e^x \, dx","Integrate[E^x,x]","e^x","e^x",1,"E^x","A",1
10255,1,22,22,0.0261945,"\int e^{-e^4} \left(e^{4+e^4-x} (3-3 x)+e^x (1+x)\right) \, dx","Integrate[(E^(4 + E^4 - x)*(3 - 3*x) + E^x*(1 + x))/E^E^4,x]","3 e^{4-x} x+e^{x-e^4} x","3 e^{4-x} x+e^{x-e^4} x",1,"3*E^(4 - x)*x + E^(-E^4 + x)*x","A",1
10256,1,21,18,0.0831746,"\int \frac{-\log (3)+\log (3) \log (x) \log (\log (x))+(-1+4 \log (3)+\log (3) \log (4)) \log (x) \log ^2(\log (x))}{\log (x) \log ^2(\log (x))} \, dx","Integrate[(-Log[3] + Log[3]*Log[x]*Log[Log[x]] + (-1 + 4*Log[3] + Log[3]*Log[4])*Log[x]*Log[Log[x]]^2)/(Log[x]*Log[Log[x]]^2),x]","\frac{x \log (3)}{\log (\log (x))}+x (-1+\log (3) \log (4)+\log (81))","-x+x \log (3) \left(\frac{1}{\log (\log (x))}+4+\log (4)\right)-5",1,"x*(-1 + Log[3]*Log[4] + Log[81]) + (x*Log[3])/Log[Log[x]]","A",1
10257,1,30,25,0.1285022,"\int \frac{816+5 x-18 x^2+x^3+\left(-96-7 x+x^2\right) \log (x)}{384 x-72 x^2+3 x^3+\left(-48 x+3 x^2\right) \log (x)} \, dx","Integrate[(816 + 5*x - 18*x^2 + x^3 + (-96 - 7*x + x^2)*Log[x])/(384*x - 72*x^2 + 3*x^3 + (-48*x + 3*x^2)*Log[x]),x]","\frac{1}{3} (x+3 \log (16-x)+6 \log (x)-3 \log (-x-\log (x)+8))","\log \left(\frac{4 e^{x/3} (16-x) x^2}{x+\log (x)-8}\right)",1,"(x + 3*Log[16 - x] + 6*Log[x] - 3*Log[8 - x - Log[x]])/3","A",1
10258,1,33,29,0.079997,"\int \frac{-95-60 x+e^2 (15+10 x)+e^x \left(-19 x-12 x^2+e^2 \left(3 x+2 x^2\right)\right)+e^x \left(-2-21 x-25 x^2-6 x^3+e^2 \left(3 x+4 x^2+x^3\right)\right) \log \left(2+19 x+6 x^2+e^2 \left(-3 x-x^2\right)\right)}{-6-57 x-18 x^2+e^2 \left(9 x+3 x^2\right)} \, dx","Integrate[(-95 - 60*x + E^2*(15 + 10*x) + E^x*(-19*x - 12*x^2 + E^2*(3*x + 2*x^2)) + E^x*(-2 - 21*x - 25*x^2 - 6*x^3 + E^2*(3*x + 4*x^2 + x^3))*Log[2 + 19*x + 6*x^2 + E^2*(-3*x - x^2)])/(-6 - 57*x - 18*x^2 + E^2*(9*x + 3*x^2)),x]","\frac{1}{3} \left(e^x x+5\right) \log \left(-\left(\left(e^2-6\right) x^2\right)+\left(19-3 e^2\right) x+2\right)","\frac{1}{3} \left(e^x x+5\right) \log \left(\left(6-e^2\right) (x+3) x+x+2\right)-2",1,"((5 + E^x*x)*Log[2 + (19 - 3*E^2)*x - (-6 + E^2)*x^2])/3","A",1
10259,1,75,28,0.4160923,"\int \frac{-6 x+56 x^2-2 e^{3 x/4} x^2-54 x^3+18 x^4-2 x^5+e^{x/2} \left(18 x^2-6 x^3\right)+e^{x/4} \left(2 x-54 x^2+36 x^3-6 x^4\right)+\left(-2 x+54 x^2+6 e^{x/2} x^2-36 x^3+6 x^4+e^{x/4} \left(-36 x^2+12 x^3\right)\right) \log (x)+\left(18 x^2-6 e^{x/4} x^2-6 x^3\right) \log ^2(x)+2 x^2 \log ^3(x)+\left(-10+528 x-434 x^2+72 x^3+16 x^4-4 x^5+e^{3 x/4} \left(-20 x-4 x^2\right)+e^{x/2} \left(180 x-24 x^2-12 x^3\right)+e^{x/4} \left(10-543 x+251 x^2+12 x^3-12 x^4\right)+\left(-10+538 x-252 x^2-12 x^3+12 x^4+e^{x/2} \left(60 x+12 x^2\right)+e^{x/4} \left(-360 x+48 x^2+24 x^3\right)\right) \log (x)+\left(180 x-24 x^2-12 x^3+e^{x/4} \left(-60 x-12 x^2\right)\right) \log ^2(x)+\left(20 x+4 x^2\right) \log ^3(x)\right) \log (5+x)}{270+e^{3 x/4} (-10-2 x)-216 x+36 x^2+8 x^3-2 x^4+e^{x/2} \left(90-12 x-6 x^2\right)+e^{x/4} \left(-270+126 x+6 x^2-6 x^3\right)+\left(270-126 x-6 x^2+6 x^3+e^{x/2} (30+6 x)+e^{x/4} \left(-180+24 x+12 x^2\right)\right) \log (x)+\left(90+e^{x/4} (-30-6 x)-12 x-6 x^2\right) \log ^2(x)+(10+2 x) \log ^3(x)} \, dx","Integrate[(-6*x + 56*x^2 - 2*E^((3*x)/4)*x^2 - 54*x^3 + 18*x^4 - 2*x^5 + E^(x/2)*(18*x^2 - 6*x^3) + E^(x/4)*(2*x - 54*x^2 + 36*x^3 - 6*x^4) + (-2*x + 54*x^2 + 6*E^(x/2)*x^2 - 36*x^3 + 6*x^4 + E^(x/4)*(-36*x^2 + 12*x^3))*Log[x] + (18*x^2 - 6*E^(x/4)*x^2 - 6*x^3)*Log[x]^2 + 2*x^2*Log[x]^3 + (-10 + 528*x - 434*x^2 + 72*x^3 + 16*x^4 - 4*x^5 + E^((3*x)/4)*(-20*x - 4*x^2) + E^(x/2)*(180*x - 24*x^2 - 12*x^3) + E^(x/4)*(10 - 543*x + 251*x^2 + 12*x^3 - 12*x^4) + (-10 + 538*x - 252*x^2 - 12*x^3 + 12*x^4 + E^(x/2)*(60*x + 12*x^2) + E^(x/4)*(-360*x + 48*x^2 + 24*x^3))*Log[x] + (180*x - 24*x^2 - 12*x^3 + E^(x/4)*(-60*x - 12*x^2))*Log[x]^2 + (20*x + 4*x^2)*Log[x]^3)*Log[5 + x])/(270 + E^((3*x)/4)*(-10 - 2*x) - 216*x + 36*x^2 + 8*x^3 - 2*x^4 + E^(x/2)*(90 - 12*x - 6*x^2) + E^(x/4)*(-270 + 126*x + 6*x^2 - 6*x^3) + (270 - 126*x - 6*x^2 + 6*x^3 + E^(x/2)*(30 + 6*x) + E^(x/4)*(-180 + 24*x + 12*x^2))*Log[x] + (90 + E^(x/4)*(-30 - 6*x) - 12*x - 6*x^2)*Log[x]^2 + (10 + 2*x)*Log[x]^3),x]","\frac{x \left(x^3+2 \left(e^{x/4}-3\right) x^2+\left(e^{x/4}-3\right)^2 x+x \log ^2(x)-2 \left(x+e^{x/4}-3\right) x \log (x)-1\right) \log (x+5)}{\left(x+e^{x/4}-\log (x)-3\right)^2}","x \left(x-\frac{1}{\left(-x-e^{x/4}+\log (x)+3\right)^2}\right) \log (x+5)",1,"(x*(-1 + (-3 + E^(x/4))^2*x + 2*(-3 + E^(x/4))*x^2 + x^3 - 2*x*(-3 + E^(x/4) + x)*Log[x] + x*Log[x]^2)*Log[5 + x])/(-3 + E^(x/4) + x - Log[x])^2","B",1
10260,1,23,25,0.6847615,"\int \frac{e^{2 x} \left(-4 x+4 x^2\right)+e^x \left(-4 x^2+4 x^3\right)+e^{2 x} \left(2 e^{2 x}-2 x^2+4 e^x x^2+4 x^3\right)}{e^{4 x} x^2-2 e^{2 x} x^3+x^4} \, dx","Integrate[(E^(2*x)*(-4*x + 4*x^2) + E^x*(-4*x^2 + 4*x^3) + E^(2*x)*(2*E^(2*x) - 2*x^2 + 4*E^x*x^2 + 4*x^3))/(E^(4*x)*x^2 - 2*E^(2*x)*x^3 + x^4),x]","\frac{2 \left(x+e^x\right)^2}{x \left(x-e^{2 x}\right)}","\frac{2 \left(\frac{e^x}{x}+1\right)^2 x}{x-e^{2 x}}",1,"(2*(E^x + x)^2)/(x*(-E^(2*x) + x))","A",1
10261,1,25,29,0.4919195,"\int \frac{1}{4} \exp \left(\frac{1}{4} \left(51 x-17 x \log (2)+e^x (-12 x+4 x \log (2))\right)\right) \left(51-17 \log (2)+e^x (-12-12 x+(4+4 x) \log (2))\right) \, dx","Integrate[(E^((51*x - 17*x*Log[2] + E^x*(-12*x + 4*x*Log[2]))/4)*(51 - 17*Log[2] + E^x*(-12 - 12*x + (4 + 4*x)*Log[2])))/4,x]","2^{-17 x/4} e^{\frac{51 x}{4}+e^x x (\log (2)-3)}","\exp \left(\frac{1}{4} \left(\left(4 \left(3-e^x\right)+4\right) x+x\right) (3-\log (2))\right)+1",1,"E^((51*x)/4 + E^x*x*(-3 + Log[2]))/2^((17*x)/4)","A",1
10262,1,22,22,0.5275929,"\int \frac{e^{x+x^2} (1-2 x)+e^x \left(19880+282 x+x^2\right)}{1626347584+4 e^{2 x^2}+45812608 x+483936 x^2+2272 x^3+4 x^4+e^{x^2} \left(161312+2272 x+8 x^2\right)} \, dx","Integrate[(E^(x + x^2)*(1 - 2*x) + E^x*(19880 + 282*x + x^2))/(1626347584 + 4*E^(2*x^2) + 45812608*x + 483936*x^2 + 2272*x^3 + 4*x^4 + E^x^2*(161312 + 2272*x + 8*x^2)),x]","\frac{e^x}{4 \left(x^2+e^{x^2}+284 x+20164\right)}","\frac{e^x}{4 \left(e^{x^2}+(-x-142)^2\right)}",1,"E^x/(4*(20164 + E^x^2 + 284*x + x^2))","A",1
10263,1,23,25,0.1692504,"\int \frac{-507 x^2+481 x^3-152 x^4+16 x^5+\left(-234 x^2+150 x^3-24 x^4\right) \log \left(81-108 x+54 x^2-12 x^3+x^4\right)+\left(-27 x^2+9 x^3\right) \log ^2\left(81-108 x+54 x^2-12 x^3+x^4\right)+\exp \left(\frac{1}{13 x-4 x^2+3 x \log \left(81-108 x+54 x^2-12 x^3+x^4\right)}\right) \left(39-49 x+8 x^2+(9-3 x) \log \left(81-108 x+54 x^2-12 x^3+x^4\right)\right)}{-507 x^2+481 x^3-152 x^4+16 x^5+\left(-234 x^2+150 x^3-24 x^4\right) \log \left(81-108 x+54 x^2-12 x^3+x^4\right)+\left(-27 x^2+9 x^3\right) \log ^2\left(81-108 x+54 x^2-12 x^3+x^4\right)} \, dx","Integrate[(-507*x^2 + 481*x^3 - 152*x^4 + 16*x^5 + (-234*x^2 + 150*x^3 - 24*x^4)*Log[81 - 108*x + 54*x^2 - 12*x^3 + x^4] + (-27*x^2 + 9*x^3)*Log[81 - 108*x + 54*x^2 - 12*x^3 + x^4]^2 + E^(13*x - 4*x^2 + 3*x*Log[81 - 108*x + 54*x^2 - 12*x^3 + x^4])^(-1)*(39 - 49*x + 8*x^2 + (9 - 3*x)*Log[81 - 108*x + 54*x^2 - 12*x^3 + x^4]))/(-507*x^2 + 481*x^3 - 152*x^4 + 16*x^5 + (-234*x^2 + 150*x^3 - 24*x^4)*Log[81 - 108*x + 54*x^2 - 12*x^3 + x^4] + (-27*x^2 + 9*x^3)*Log[81 - 108*x + 54*x^2 - 12*x^3 + x^4]^2),x]","x+e^{\frac{1}{x \left(-4 x+3 \log \left((x-3)^4\right)+13\right)}}","\exp \left(\frac{1}{x \left(-4 x+3 \left(\log \left((x-3)^4\right)+3\right)+4\right)}\right)+x",1,"E^(1/(x*(13 - 4*x + 3*Log[(-3 + x)^4]))) + x","A",1
10264,1,19,20,0.0832853,"\int \frac{9 x^2+x^2 \log (5)+\left(90 x+18 x^2+2 x^2 \log (5)\right) \log \left(\frac{-45-9 x-x \log (5)}{\log (5)}\right)}{45+9 x+x \log (5)} \, dx","Integrate[(9*x^2 + x^2*Log[5] + (90*x + 18*x^2 + 2*x^2*Log[5])*Log[(-45 - 9*x - x*Log[5])/Log[5]])/(45 + 9*x + x*Log[5]),x]","x^2 \log \left(-\frac{x (9+\log (5))+45}{\log (5)}\right)","x^2 \log \left(\frac{9 (-x-5)}{\log (5)}-x\right)",1,"x^2*Log[-((45 + x*(9 + Log[5]))/Log[5])]","A",1
10265,1,28,31,0.1114114,"\int \frac{e^{25/x} (-25-x)-x^2+e^{50/x} \left(x+8 x^2\right)+e^{25/x} \left(-2 x^2-16 x^3\right) \log (x \log (3))+\left(x^3+8 x^4\right) \log ^2(x \log (3))}{2 e^{50/x} x-4 e^{25/x} x^2 \log (x \log (3))+2 x^3 \log ^2(x \log (3))} \, dx","Integrate[(E^(25/x)*(-25 - x) - x^2 + E^(50/x)*(x + 8*x^2) + E^(25/x)*(-2*x^2 - 16*x^3)*Log[x*Log[3]] + (x^3 + 8*x^4)*Log[x*Log[3]]^2)/(2*E^(50/x)*x - 4*E^(25/x)*x^2*Log[x*Log[3]] + 2*x^3*Log[x*Log[3]]^2),x]","-\frac{1}{2} x \left(-4 x+\frac{1}{e^{25/x}-x \log (x \log (3))}-1\right)","\frac{1}{2} \left(4 x^2+x+\frac{1}{\log (x \log (3))-\frac{e^{25/x}}{x}}\right)",1,"-1/2*(x*(-1 - 4*x + (E^(25/x) - x*Log[x*Log[3]])^(-1)))","A",1
10266,1,40,27,1.0111012,"\int \frac{16-5 \log (4)+e^x (-4-4 x+(1+x) \log (4))}{12+4 e^2+16 x+\left(-3-e^2-5 x\right) \log (4)+e^x (-4 x+x \log (4))} \, dx","Integrate[(16 - 5*Log[4] + E^x*(-4 - 4*x + (1 + x)*Log[4]))/(12 + 4*E^2 + 16*x + (-3 - E^2 - 5*x)*Log[4] + E^x*(-4*x + x*Log[4])),x]","\log \left(-4 e^x x+16 x+e^x x \log (4)-5 x \log (4)+4 e^2+12-e^2 \log (4)-3 \log (4)\right)","\log \left(\left(4-e^x\right) x+x-\frac{4 x}{4-\log (4)}+e^2+3\right)",1,"Log[12 + 4*E^2 + 16*x - 4*E^x*x - 3*Log[4] - E^2*Log[4] - 5*x*Log[4] + E^x*x*Log[4]]","A",1
10267,1,17,17,0.0350773,"\int \frac{10 x+2 x^2+e^3 \left(8 x+4 x^2+2 x^3\right)+\left(10+2 x+e^3 \left(8+4 x+2 x^2\right)\right) \log \left(4+x+e^3 \left(4+x^2\right)\right)}{4+x+e^3 \left(4+x^2\right)} \, dx","Integrate[(10*x + 2*x^2 + E^3*(8*x + 4*x^2 + 2*x^3) + (10 + 2*x + E^3*(8 + 4*x + 2*x^2))*Log[4 + x + E^3*(4 + x^2)])/(4 + x + E^3*(4 + x^2)),x]","\left(\log \left(e^3 \left(x^2+4\right)+x+4\right)+x\right)^2","\left(\log \left(e^3 \left(x^2+4\right)+x+4\right)+x\right)^2",1,"(x + Log[4 + x + E^3*(4 + x^2)])^2","A",1
10268,1,14,15,0.0038918,"\int \frac{18-x-x^2}{6 x+x^2} \, dx","Integrate[(18 - x - x^2)/(6*x + x^2),x]","-x+3 \log (x)+2 \log (x+6)","\log \left(e^{-x} x^3 (x+6)^2\right)",1,"-x + 3*Log[x] + 2*Log[6 + x]","A",1
10269,1,60,25,0.0085939,"\int \frac{e^4 \left(-3+2 x+x^2+4 \log (x)-\log ^2(x)\right) \left(-12-6 x-4 x^2-6 x^3-4 x^4+\left(6-6 x^2\right) \log (x)+2 x^2 \log ^2(x)\right)}{3 x-2 x^2-x^3-4 x \log (x)+x \log ^2(x)} \, dx","Integrate[(E^4*(-3 + 2*x + x^2 + 4*Log[x] - Log[x]^2)*(-12 - 6*x - 4*x^2 - 6*x^3 - 4*x^4 + (6 - 6*x^2)*Log[x] + 2*x^2*Log[x]^2))/(3*x - 2*x^2 - x^3 - 4*x*Log[x] + x*Log[x]^2),x]","e^4 x^4+2 e^4 x^3-e^4 x^2 \log ^2(x)+4 e^4 x^2 \log (x)+6 e^4 x-3 e^4 \log ^2(x)+12 e^4 \log (x)","e^4 \left(x^2+3\right) (-x-\log (x)+1) (-x+\log (x)-3)",1,"6*E^4*x + 2*E^4*x^3 + E^4*x^4 + 12*E^4*Log[x] + 4*E^4*x^2*Log[x] - 3*E^4*Log[x]^2 - E^4*x^2*Log[x]^2","B",1
10270,1,16,24,0.0100814,"\int \frac{-25+10 x+4 x^2+375 x^4-150 x^5+15 x^6}{25 x^2-10 x^3+x^4} \, dx","Integrate[(-25 + 10*x + 4*x^2 + 375*x^4 - 150*x^5 + 15*x^6)/(25*x^2 - 10*x^3 + x^4),x]","5 x^3-\frac{5}{x-5}+\frac{1}{x}","5 x^3+\frac{x}{5-x}+\frac{1}{x}-e^4+1",1,"-5/(-5 + x) + x^(-1) + 5*x^3","A",1
10271,1,16,20,0.004154,"\int \frac{1+\left(-e^5 x+2 x^2\right) \log ^2(x)}{x \log ^2(x)} \, dx","Integrate[(1 + (-(E^5*x) + 2*x^2)*Log[x]^2)/(x*Log[x]^2),x]","x^2-e^5 x-\frac{1}{\log (x)}","x^2-e^5 x-\frac{1}{\log (x)}+e^3+4",1,"-(E^5*x) + x^2 - Log[x]^(-1)","A",1
10272,1,154,26,0.4489202,"\int \frac{6 x^3-4 x^2 \log (2)+e^x \left(-16 x^5+\left(-16 x^3+32 x^4\right) \log (2)+\left(20 x^2-24 x^3\right) \log ^2(2)+\left(-8 x+8 x^2\right) \log ^3(2)+(1-x) \log ^4(2)\right)+e^{2 x} \left(-32 x^5+64 x^4 \log (2)-48 x^3 \log ^2(2)+16 x^2 \log ^3(2)-2 x \log ^4(2)\right)}{x^2+e^x \left(8 x^3-8 x^2 \log (2)+2 x \log ^2(2)\right)+e^{2 x} \left(16 x^4-32 x^3 \log (2)+24 x^2 \log ^2(2)-8 x \log ^3(2)+\log ^4(2)\right)} \, dx","Integrate[(6*x^3 - 4*x^2*Log[2] + E^x*(-16*x^5 + (-16*x^3 + 32*x^4)*Log[2] + (20*x^2 - 24*x^3)*Log[2]^2 + (-8*x + 8*x^2)*Log[2]^3 + (1 - x)*Log[2]^4) + E^(2*x)*(-32*x^5 + 64*x^4*Log[2] - 48*x^3*Log[2]^2 + 16*x^2*Log[2]^3 - 2*x*Log[2]^4))/(x^2 + E^x*(8*x^3 - 8*x^2*Log[2] + 2*x*Log[2]^2) + E^(2*x)*(16*x^4 - 32*x^3*Log[2] + 24*x^2*Log[2]^2 - 8*x*Log[2]^3 + Log[2]^4)),x]","x \left(\frac{64 x^7-64 x^6 (\log (8)-1)+16 x^5 \log (2) (\log (32768)-8)-16 x^4 \log ^2(2) (\log (1024)-5)+4 x^3 \log ^3(2) \log (32768)-x^2 \log ^3(2) \left(4 \log ^2(2)+\log (4)+2 \log (2) (9+\log (16))\right)+x \log ^5(2) (8+\log (2))-\log ^6(2)}{(2 x-\log (2))^3 \left(2 x^2-x (\log (2)-2)+\log (2)\right) \left(4 e^x x^2+x+e^x \log ^2(2)-4 e^x x \log (2)\right)}-x\right)","\frac{x}{e^x+\frac{x}{(2 x-\log (2))^2}}-x^2",1,"x*(-x + (64*x^7 - Log[2]^6 + x*Log[2]^5*(8 + Log[2]) - 64*x^6*(-1 + Log[8]) - x^2*Log[2]^3*(4*Log[2]^2 + Log[4] + 2*Log[2]*(9 + Log[16])) - 16*x^4*Log[2]^2*(-5 + Log[1024]) + 16*x^5*Log[2]*(-8 + Log[32768]) + 4*x^3*Log[2]^3*Log[32768])/((2*x - Log[2])^3*(2*x^2 - x*(-2 + Log[2]) + Log[2])*(x + 4*E^x*x^2 - 4*E^x*x*Log[2] + E^x*Log[2]^2)))","B",0
10273,1,15,15,0.0843155,"\int \frac{2 e x+e^x \left(2 x-x^2\right)}{e^2 \log (25)+e^{2 x} \log (25)+2 e^{1+x} \log (25)} \, dx","Integrate[(2*E*x + E^x*(2*x - x^2))/(E^2*Log[25] + E^(2*x)*Log[25] + 2*E^(1 + x)*Log[25]),x]","\frac{x^2}{\left(e^x+e\right) \log (25)}","\frac{x^2}{\left(e^x+e\right) \log (25)}",1,"x^2/((E + E^x)*Log[25])","A",1
10274,1,11,12,0.0085407,"\int \left(1-2 e^{1+2 x}\right) \, dx","Integrate[1 - 2*E^(1 + 2*x),x]","x-e^{2 x+1}","x-e^{2 x+1}+86",1,"-E^(1 + 2*x) + x","A",1
10275,1,22,26,0.0347357,"\int \frac{e^{-e^x} \left(\left(20+x^2\right) \log (2)+e^x \left(-20 x+x^2+x^3\right) \log (2)\right)}{2000-200 x-195 x^2+10 x^3+5 x^4} \, dx","Integrate[((20 + x^2)*Log[2] + E^x*(-20*x + x^2 + x^3)*Log[2])/(E^E^x*(2000 - 200*x - 195*x^2 + 10*x^3 + 5*x^4)),x]","-\frac{e^{-e^x} x \log (2)}{5 \left(x^2+x-20\right)}","\frac{e^{-e^x} x \log (2)}{5 (4-x) (x+5)}",1,"-1/5*(x*Log[2])/(E^E^x*(-20 + x + x^2))","A",1
10276,1,21,21,0.0306655,"\int \left(16 e^{2 e^x+x}+e^{e^x+x} (64-16 e-8 \log (9))\right) \, dx","Integrate[16*E^(2*E^x + x) + E^(E^x + x)*(64 - 16*E - 8*Log[9]),x]","8 e^{e^x} \left(e^{e^x}+8-2 e-\log (9)\right)","2 \left(2 \left(e^{e^x}+4-e\right)-\log (9)\right)^2",1,"8*E^E^x*(8 - 2*E + E^E^x - Log[9])","A",1
10277,1,23,25,1.2131969,"\int \frac{3+e^5 (-1-2 x)+6 x+e (1+2 x)+e^x (1+2 x)+2 e^x x \log \left(-12-4 e+4 e^5-4 e^x\right)}{6 x^2+2 e x^2-2 e^5 x^2+2 e^x x^2+\left(3 x+e x-e^5 x+e^x x\right) \log ^2\left(-12-4 e+4 e^5-4 e^x\right)+\left(3 x+e x-e^5 x+e^x x\right) \log (x)} \, dx","Integrate[(3 + E^5*(-1 - 2*x) + 6*x + E*(1 + 2*x) + E^x*(1 + 2*x) + 2*E^x*x*Log[-12 - 4*E + 4*E^5 - 4*E^x])/(6*x^2 + 2*E*x^2 - 2*E^5*x^2 + 2*E^x*x^2 + (3*x + E*x - E^5*x + E^x*x)*Log[-12 - 4*E + 4*E^5 - 4*E^x]^2 + (3*x + E*x - E^5*x + E^x*x)*Log[x]),x]","\log \left(2 x+\log ^2\left(-4 \left(e^x+3+e-e^5\right)\right)+\log (x)\right)","\log \left(2 x+\log ^2\left(4 \left(-e^x-3-e+e^5\right)\right)+\log (x)\right)",1,"Log[2*x + Log[-4*(3 + E - E^5 + E^x)]^2 + Log[x]]","A",1
10278,1,9,19,0.0022907,"\int \frac{3+2 x}{1+3 x+x^2} \, dx","Integrate[(3 + 2*x)/(1 + 3*x + x^2),x]","\log \left(x^2+3 x+1\right)","\log \left(\frac{1}{2} \left(x^2-x+\log \left(e^{4 x}\right)+1\right)\right)",1,"Log[1 + 3*x + x^2]","A",1
10279,1,19,20,0.0286534,"\int \frac{-5+e^{4 x^2+4 x^3} \left(14 x^2+112 x^4+168 x^5\right)}{x^2} \, dx","Integrate[(-5 + E^(4*x^2 + 4*x^3)*(14*x^2 + 112*x^4 + 168*x^5))/x^2,x]","14 e^{4 x^2 (x+1)} x+\frac{5}{x}","14 e^{4 x \left(x^2+x\right)} x+\frac{5}{x}+5",1,"5/x + 14*E^(4*x^2*(1 + x))*x","A",1
10280,1,15,15,0.0026912,"\int \frac{-30 x-2 \log (105)-10 x \log (x)}{x} \, dx","Integrate[(-30*x - 2*Log[105] - 10*x*Log[x])/x,x]","-20 x-10 x \log (x)-2 \log (105) \log (x)","(-5 x-\log (105)) (2 \log (x)+4)",1,"-20*x - 10*x*Log[x] - 2*Log[105]*Log[x]","A",1
10281,1,28,22,0.0487902,"\int \frac{25+50 x^3-6250 x^4+2500 x^5+390625 x^8+\left(2 x-500 x^2+100 x^3+62500 x^6\right) \log (x)+\left(-10+3750 x^4\right) \log ^2(x)+100 x^2 \log ^3(x)+\log ^4(x)}{25-10 x+x^2-6250 x^4+1250 x^5+390625 x^8+\left(-500 x^2+100 x^3+62500 x^6\right) \log (x)+\left(-10+2 x+3750 x^4\right) \log ^2(x)+100 x^2 \log ^3(x)+\log ^4(x)} \, dx","Integrate[(25 + 50*x^3 - 6250*x^4 + 2500*x^5 + 390625*x^8 + (2*x - 500*x^2 + 100*x^3 + 62500*x^6)*Log[x] + (-10 + 3750*x^4)*Log[x]^2 + 100*x^2*Log[x]^3 + Log[x]^4)/(25 - 10*x + x^2 - 6250*x^4 + 1250*x^5 + 390625*x^8 + (-500*x^2 + 100*x^3 + 62500*x^6)*Log[x] + (-10 + 2*x + 3750*x^4)*Log[x]^2 + 100*x^2*Log[x]^3 + Log[x]^4),x]","x-\frac{x^2}{625 x^4+50 x^2 \log (x)+x+\log ^2(x)-5}","\frac{x}{\frac{x}{\left(25 x^2+\log (x)\right)^2-5}+1}",1,"x - x^2/(-5 + x + 625*x^4 + 50*x^2*Log[x] + Log[x]^2)","A",1
10282,1,27,27,0.2411945,"\int \frac{(32-4 x) \log ^2(-8+x)+(-32+4 x) \log ^2(-8+x) \log (2 x)+\left(-15 x^3+\left(-120 x^2+15 x^3\right) \log (-8+x)+\left(8 x^2-x^3\right) \log ^2(-8+x)+\left(15 x^2+\left(120 x-15 x^2\right) \log (-8+x)+\left(-8 x+x^2\right) \log ^2(-8+x)\right) \log (2 x)\right) \log ^2\left(\frac{x-\log (2 x)}{x}\right)}{\left(\left(8 x^2-x^3\right) \log ^2(-8+x)+\left(-8 x+x^2\right) \log ^2(-8+x) \log (2 x)\right) \log ^2\left(\frac{x-\log (2 x)}{x}\right)} \, dx","Integrate[((32 - 4*x)*Log[-8 + x]^2 + (-32 + 4*x)*Log[-8 + x]^2*Log[2*x] + (-15*x^3 + (-120*x^2 + 15*x^3)*Log[-8 + x] + (8*x^2 - x^3)*Log[-8 + x]^2 + (15*x^2 + (120*x - 15*x^2)*Log[-8 + x] + (-8*x + x^2)*Log[-8 + x]^2)*Log[2*x])*Log[(x - Log[2*x])/x]^2)/(((8*x^2 - x^3)*Log[-8 + x]^2 + (-8*x + x^2)*Log[-8 + x]^2*Log[2*x])*Log[(x - Log[2*x])/x]^2),x]","x-\frac{15 x}{\log (x-8)}+\frac{4}{\log \left(1-\frac{\log (2 x)}{x}\right)}","x-\frac{15 x}{\log (x-8)}+\frac{4}{\log \left(1-\frac{\log (2 x)}{x}\right)}",1,"x - (15*x)/Log[-8 + x] + 4/Log[1 - Log[2*x]/x]","A",1
10283,1,40,27,0.3909867,"\int \frac{5 x^2+e^{2 e^x+4 x} \left(-1+4 x+2 e^x x\right)+8 \log ^7(x)-\log ^8(x)+e^{e^x+2 x} \left(8 \log ^3(x)+\left(-2+4 x+2 e^x x\right) \log ^4(x)\right)}{x^2} \, dx","Integrate[(5*x^2 + E^(2*E^x + 4*x)*(-1 + 4*x + 2*E^x*x) + 8*Log[x]^7 - Log[x]^8 + E^(E^x + 2*x)*(8*Log[x]^3 + (-2 + 4*x + 2*E^x*x)*Log[x]^4))/x^2,x]","\frac{5 x^2+e^{4 x+2 e^x}+\log ^8(x)+2 e^{2 x+e^x} \log ^4(x)}{x}","x+4 (x+4)+\frac{\left(e^{2 x+e^x}+\log ^4(x)\right)^2}{x}",1,"(E^(2*E^x + 4*x) + 5*x^2 + 2*E^(E^x + 2*x)*Log[x]^4 + Log[x]^8)/x","A",1
10284,1,24,19,1.3463776,"\int \frac{\exp \left(\frac{-x-3 x^2+x^2 \log (2)+e^x (1+3 x-x \log (2))}{x}\right) \left(-3 x^2+x^2 \log (2)+e^x \left(-1+x+3 x^2-x^2 \log (2)\right)\right)}{x^2} \, dx","Integrate[(E^((-x - 3*x^2 + x^2*Log[2] + E^x*(1 + 3*x - x*Log[2]))/x)*(-3*x^2 + x^2*Log[2] + E^x*(-1 + x + 3*x^2 - x^2*Log[2])))/x^2,x]","2^x e^{-3 x+e^x \left(\frac{1}{x}+3-\log (2)\right)-1}","e^{\left(x-e^x\right) \left(-\frac{1}{x}-3+\log (2)\right)}",1,"2^x*E^(-1 - 3*x + E^x*(3 + x^(-1) - Log[2]))","A",1
10285,1,22,22,3.8080532,"\int \frac{\exp \left(e^{\frac{e^x \left(-1+e^4+20 x\right)}{5 x}}+x+\frac{e^x \left(-1+e^4+20 x\right)}{5 x}\right) \left(1+e^4 (-1+x)-x+20 x^2\right)}{5 x^2} \, dx","Integrate[(E^(E^((E^x*(-1 + E^4 + 20*x))/(5*x)) + x + (E^x*(-1 + E^4 + 20*x))/(5*x))*(1 + E^4*(-1 + x) - x + 20*x^2))/(5*x^2),x]","e^{e^{\frac{e^x \left(20 x+e^4-1\right)}{5 x}}}","e^{e^{e^x \left(\frac{e^4-1}{5 x}+4\right)}}",1,"E^E^((E^x*(-1 + E^4 + 20*x))/(5*x))","A",1
10286,1,69,27,0.0437166,"\int \frac{405+810 x+270 \log (4)+(405+810 x+270 \log (4)) \log (5)}{2916+972 x+1053 x^2+162 x^3+81 x^4+\left(648 x+108 x^2+108 x^3\right) \log (4)+\left(108+18 x+54 x^2\right) \log ^2(4)+12 x \log ^3(4)+\log ^4(4)+\left(5832+972 x+972 x^2+648 x \log (4)+108 \log ^2(4)\right) \log (5)+2916 \log ^2(5)} \, dx","Integrate[(405 + 810*x + 270*Log[4] + (405 + 810*x + 270*Log[4])*Log[5])/(2916 + 972*x + 1053*x^2 + 162*x^3 + 81*x^4 + (648*x + 108*x^2 + 108*x^3)*Log[4] + (108 + 18*x + 54*x^2)*Log[4]^2 + 12*x*Log[4]^3 + Log[4]^4 + (5832 + 972*x + 972*x^2 + 648*x*Log[4] + 108*Log[4]^2)*Log[5] + 2916*Log[5]^2),x]","\frac{15 (1+\log (5)) \left(207+4 \log ^2(4)-6 \log (4)+216 \log (5)-3 \log (16)-2 \log (4) \log (16)\right)}{(-69+4 \log (4)-72 \log (5)) \left(9 x^2+9 x+6 x \log (4)+54+\log ^2(4)+54 \log (5)\right)}","3-\frac{5}{\frac{x+\left(x+\frac{\log (4)}{3}\right)^2}{1+\log (5)}+6}",1,"(15*(1 + Log[5])*(207 - 6*Log[4] + 4*Log[4]^2 + 216*Log[5] - 3*Log[16] - 2*Log[4]*Log[16]))/((-69 + 4*Log[4] - 72*Log[5])*(54 + 9*x + 9*x^2 + 6*x*Log[4] + Log[4]^2 + 54*Log[5]))","B",1
10287,1,30,15,0.0025848,"\int \left(10 \log ^2(2)+\left(50 e^2+50 x\right) \log ^4(2)\right) \, dx","Integrate[10*Log[2]^2 + (50*E^2 + 50*x)*Log[2]^4,x]","10 \left(\frac{5}{2} x^2 \log ^4(2)+5 e^2 x \log ^4(2)+x \log ^2(2)\right)","\left(5 \left(x+e^2\right) \log ^2(2)+1\right)^2",1,"10*(x*Log[2]^2 + 5*E^2*x*Log[2]^4 + (5*x^2*Log[2]^4)/2)","A",1
10288,1,25,18,0.0822081,"\int \frac{8 x^3-10 e x^5+8 x^3 \log (9)+\left(4 x^3-4 e x^5+4 x^3 \log (9)\right) \log \left(-1+e x^2-\log (9)\right)}{1-e x^2+\log (9)} \, dx","Integrate[(8*x^3 - 10*E*x^5 + 8*x^3*Log[9] + (4*x^3 - 4*E*x^5 + 4*x^3*Log[9])*Log[-1 + E*x^2 - Log[9]])/(1 - E*x^2 + Log[9]),x]","2 \left(x^4+\frac{1}{2} x^4 \log \left(e x^2-1-\log (9)\right)\right)","x^4 \left(\log \left(e x^2-1-\log (9)\right)+2\right)",1,"2*(x^4 + (x^4*Log[-1 + E*x^2 - Log[9]])/2)","A",1
10289,1,21,21,0.5948198,"\int \frac{-1-8 x^2+\log (x)}{\left(-16 x^2-8 x^3-x \log (x)+4 x^2 \log (\log (5))\right) \log \left(\frac{-16 x-8 x^2-\log (x)+4 x \log (\log (5))}{2 x}\right)} \, dx","Integrate[(-1 - 8*x^2 + Log[x])/((-16*x^2 - 8*x^3 - x*Log[x] + 4*x^2*Log[Log[5]])*Log[(-16*x - 8*x^2 - Log[x] + 4*x*Log[Log[5]])/(2*x)]),x]","\log \left(\log \left(-4 x-\frac{\log (x)}{2 x}-8+2 \log (\log (5))\right)\right)","\log \left(\log \left(2 \left(-2 x-\frac{\log (x)}{4 x}-4+\log (\log (5))\right)\right)\right)",1,"Log[Log[-8 - 4*x - Log[x]/(2*x) + 2*Log[Log[5]]]]","A",1
10290,1,18,18,5.0412271,"\int \frac{3 e^x+e^x \left(-3+6 x-3 x^2\right) \log \left(\frac{1-x}{x}\right)}{e \left(-x^2+x^3\right) \log ^2\left(\frac{1-x}{x}\right)} \, dx","Integrate[(3*E^x + E^x*(-3 + 6*x - 3*x^2)*Log[(1 - x)/x])/(E*(-x^2 + x^3)*Log[(1 - x)/x]^2),x]","-\frac{3 e^{x-1}}{x \log \left(\frac{1}{x}-1\right)}","-\frac{3 e^{x-1}}{x \log \left(\frac{1}{x}-1\right)}",1,"(-3*E^(-1 + x))/(x*Log[-1 + x^(-1)])","A",1
10291,1,22,21,0.4042312,"\int \frac{e^{-2+e^{x+x^2}-6 x+x^2} \left(1-6 x+2 x^2+e^{x+x^2} \left(x+2 x^2\right)+\left(-6 x+2 x^2+e^{x+x^2} \left(x+2 x^2\right)\right) \log (x)\right)}{x} \, dx","Integrate[(E^(-2 + E^(x + x^2) - 6*x + x^2)*(1 - 6*x + 2*x^2 + E^(x + x^2)*(x + 2*x^2) + (-6*x + 2*x^2 + E^(x + x^2)*(x + 2*x^2))*Log[x]))/x,x]","e^{x^2+e^{x^2+x}-6 x-2} (\log (x)+1)","e^{e^{x^2+x}+(x-6) x-2} (\log (x)+1)",1,"E^(-2 + E^(x + x^2) - 6*x + x^2)*(1 + Log[x])","A",1
10292,0,0,20,1.0535576,"\int \frac{2^{-e^{e^x}} (2 x+\log (-3-3 x+\log (9)))^{e^{e^x}} \left(e^{e^x} (-9-6 x+2 \log (9))+e^{e^x} \left(e^x \left(-6 x-6 x^2+2 x \log (9)\right)+e^x (-3-3 x+\log (9)) \log (-3-3 x+\log (9))\right) \log \left(\frac{1}{2} (2 x+\log (-3-3 x+\log (9)))\right)\right)}{-6 x-6 x^2+2 x \log (9)+(-3-3 x+\log (9)) \log (-3-3 x+\log (9))} \, dx","Integrate[((2*x + Log[-3 - 3*x + Log[9]])^E^E^x*(E^E^x*(-9 - 6*x + 2*Log[9]) + E^E^x*(E^x*(-6*x - 6*x^2 + 2*x*Log[9]) + E^x*(-3 - 3*x + Log[9])*Log[-3 - 3*x + Log[9]])*Log[(2*x + Log[-3 - 3*x + Log[9]])/2]))/(2^E^E^x*(-6*x - 6*x^2 + 2*x*Log[9] + (-3 - 3*x + Log[9])*Log[-3 - 3*x + Log[9]])),x]","\int \frac{2^{-e^{e^x}} (2 x+\log (-3-3 x+\log (9)))^{e^{e^x}} \left(e^{e^x} (-9-6 x+2 \log (9))+e^{e^x} \left(e^x \left(-6 x-6 x^2+2 x \log (9)\right)+e^x (-3-3 x+\log (9)) \log (-3-3 x+\log (9))\right) \log \left(\frac{1}{2} (2 x+\log (-3-3 x+\log (9)))\right)\right)}{-6 x-6 x^2+2 x \log (9)+(-3-3 x+\log (9)) \log (-3-3 x+\log (9))} \, dx","\left(x+\frac{1}{2} \log (-3 x-3+\log (9))\right)^{e^{e^x}}",1,"Integrate[((2*x + Log[-3 - 3*x + Log[9]])^E^E^x*(E^E^x*(-9 - 6*x + 2*Log[9]) + E^E^x*(E^x*(-6*x - 6*x^2 + 2*x*Log[9]) + E^x*(-3 - 3*x + Log[9])*Log[-3 - 3*x + Log[9]])*Log[(2*x + Log[-3 - 3*x + Log[9]])/2]))/(2^E^E^x*(-6*x - 6*x^2 + 2*x*Log[9] + (-3 - 3*x + Log[9])*Log[-3 - 3*x + Log[9]])), x]","F",-1
10293,1,15,15,0.0028292,"\int \frac{2048 x^7+e^{32} \left(1-27 x^2\right)}{e^{32}} \, dx","Integrate[(2048*x^7 + E^32*(1 - 27*x^2))/E^32,x]","\frac{256 x^8}{e^{32}}-9 x^3+x","\frac{256 x^8}{e^{32}}-9 x^3+x",1,"x - 9*x^3 + (256*x^8)/E^32","A",1
10294,1,19,25,0.2155293,"\int \frac{-560+840 x+e^x \left(112-56 x-84 x^2\right)}{400 x^2-600 x^3+225 x^4+e^x \left(-160 x^2+240 x^3-90 x^4\right)+e^{2 x} \left(16 x^2-24 x^3+9 x^4\right)} \, dx","Integrate[(-560 + 840*x + E^x*(112 - 56*x - 84*x^2))/(400*x^2 - 600*x^3 + 225*x^4 + E^x*(-160*x^2 + 240*x^3 - 90*x^4) + E^(2*x)*(16*x^2 - 24*x^3 + 9*x^4)),x]","\frac{28}{\left(e^x-5\right) x (3 x-4)}","\frac{28}{3 \left(5-e^x\right) \left(\frac{4}{3}-x\right) x}",1,"28/((-5 + E^x)*x*(-4 + 3*x))","A",1
10295,1,15,15,0.0191413,"\int e^{x^2} \left(1+2 x+2 x^2+e^8 \left(2+4 x^2\right)\right) \, dx","Integrate[E^x^2*(1 + 2*x + 2*x^2 + E^8*(2 + 4*x^2)),x]","e^{x^2} \left(2 e^8 x+x+1\right)","e^{x^2} \left(2 e^8 x+x+1\right)",1,"E^x^2*(1 + x + 2*E^8*x)","A",1
10296,1,57,34,0.1767485,"\int \frac{50-75 x-20 x^2+35 x^3+12 x^4+x^5+e^{20} \left(2 x^2+x^3\right)+e^{10-x} \left(-45 x+25 x^2+x^3-14 x^4-2 x^5\right)+e^x \left(e^{10-x} \left(20 x-10 x^2-14 x^3-2 x^4\right)+e^{20-2 x} \left(-5 x^2+2 x^3+2 x^4\right)\right)+\left(e^{20-x} \left(2 x^2+x^3\right)+e^{10-x} \left(-10+5 x-7 x^2-8 x^3-x^4\right)\right) \log (2+x)}{50-75 x-20 x^2+35 x^3+12 x^4+x^5+e^{20} \left(2 x^2+x^3\right)+e^{10} \left(20 x-10 x^2-14 x^3-2 x^4\right)} \, dx","Integrate[(50 - 75*x - 20*x^2 + 35*x^3 + 12*x^4 + x^5 + E^20*(2*x^2 + x^3) + E^(10 - x)*(-45*x + 25*x^2 + x^3 - 14*x^4 - 2*x^5) + E^x*(E^(10 - x)*(20*x - 10*x^2 - 14*x^3 - 2*x^4) + E^(20 - 2*x)*(-5*x^2 + 2*x^3 + 2*x^4)) + (E^(20 - x)*(2*x^2 + x^3) + E^(10 - x)*(-10 + 5*x - 7*x^2 - 8*x^3 - x^4))*Log[2 + x])/(50 - 75*x - 20*x^2 + 35*x^3 + 12*x^4 + x^5 + E^20*(2*x^2 + x^3) + E^10*(20*x - 10*x^2 - 14*x^3 - 2*x^4)),x]","\frac{e^{-x} x \left(e^x \left(x^2+5 x-5\right)-e^{x+10} x+2 e^{10} x+e^{10} \log (x+2)\right)}{x^2-\left(e^{10}-5\right) x-5}","x-\frac{2 x+\log (x+2)}{e^{x-10} \left(-x+\frac{5}{x}-5\right)+e^x}",1,"(x*(2*E^10*x - E^(10 + x)*x + E^x*(-5 + 5*x + x^2) + E^10*Log[2 + x]))/(E^x*(-5 - (-5 + E^10)*x + x^2))","A",1
10297,1,16,13,0.002122,"\int \frac{2 \log (4)-\log (4) \log (x)}{x^2} \, dx","Integrate[(2*Log[4] - Log[4]*Log[x])/x^2,x]","\frac{\log (4) \log (x)}{x}-\frac{\log (4)}{x}","\frac{\log (4) (-6 x+\log (x)-1)}{x}",1,"-(Log[4]/x) + (Log[4]*Log[x])/x","A",1
10298,0,0,23,1.0175181,"\int \frac{e^{2 x} \left(18+4 x-4 x^2+(3-2 x) \log (3)+2 \log (5)\right)}{81-36 x^2+4 x^4+\left(18-18 x-4 x^2+4 x^3\right) \log (3)+\left(1-2 x+x^2\right) \log ^2(3)+\left(18-4 x^2+(2-2 x) \log (3)\right) \log (5)+\log ^2(5)} \, dx","Integrate[(E^(2*x)*(18 + 4*x - 4*x^2 + (3 - 2*x)*Log[3] + 2*Log[5]))/(81 - 36*x^2 + 4*x^4 + (18 - 18*x - 4*x^2 + 4*x^3)*Log[3] + (1 - 2*x + x^2)*Log[3]^2 + (18 - 4*x^2 + (2 - 2*x)*Log[3])*Log[5] + Log[5]^2),x]","\int \frac{e^{2 x} \left(18+4 x-4 x^2+(3-2 x) \log (3)+2 \log (5)\right)}{81-36 x^2+4 x^4+\left(18-18 x-4 x^2+4 x^3\right) \log (3)+\left(1-2 x+x^2\right) \log ^2(3)+\left(18-4 x^2+(2-2 x) \log (3)\right) \log (5)+\log ^2(5)} \, dx","\frac{e^{2 x}}{-x (2 x+\log (3))+9+\log (5)+\log (3)}",1,"Integrate[(E^(2*x)*(18 + 4*x - 4*x^2 + (3 - 2*x)*Log[3] + 2*Log[5]))/(81 - 36*x^2 + 4*x^4 + (18 - 18*x - 4*x^2 + 4*x^3)*Log[3] + (1 - 2*x + x^2)*Log[3]^2 + (18 - 4*x^2 + (2 - 2*x)*Log[3])*Log[5] + Log[5]^2), x]","F",-1
10299,1,29,32,0.0340695,"\int \frac{e^x (1-x)-x^2+20 x^3+2 e^{e^{x^2}+x^2} x^3+12 x^4}{x^2} \, dx","Integrate[(E^x*(1 - x) - x^2 + 20*x^3 + 2*E^(E^x^2 + x^2)*x^3 + 12*x^4)/x^2,x]","4 x^3+10 x^2+e^{e^{x^2}}-x-\frac{e^x}{x}","2 (2 x+5) x^2+e^{e^{x^2}}-x+\frac{x-e^x}{x}",1,"E^E^x^2 - E^x/x - x + 10*x^2 + 4*x^3","A",1
10300,0,0,27,2.0076204,"\int \frac{\exp \left(\frac{80-8 x+16 x^2+(4+8 x) \log (5)}{x+2 x^2}\right) \left(-80-320 x+32 x^2+\left(-4-16 x-16 x^2\right) \log (5)\right)}{x^2+4 x^3+4 x^4} \, dx","Integrate[(E^((80 - 8*x + 16*x^2 + (4 + 8*x)*Log[5])/(x + 2*x^2))*(-80 - 320*x + 32*x^2 + (-4 - 16*x - 16*x^2)*Log[5]))/(x^2 + 4*x^3 + 4*x^4),x]","\int \frac{\exp \left(\frac{80-8 x+16 x^2+(4+8 x) \log (5)}{x+2 x^2}\right) \left(-80-320 x+32 x^2+\left(-4-16 x-16 x^2\right) \log (5)\right)}{x^2+4 x^3+4 x^4} \, dx","e^{\frac{4 \left(\frac{2 (5-x)}{x+\frac{1}{2}}+2 x+\log (5)\right)}{x}}",1,"Integrate[(E^((80 - 8*x + 16*x^2 + (4 + 8*x)*Log[5])/(x + 2*x^2))*(-80 - 320*x + 32*x^2 + (-4 - 16*x - 16*x^2)*Log[5]))/(x^2 + 4*x^3 + 4*x^4), x]","F",-1
10301,1,43,28,0.1832724,"\int \frac{\exp \left(-x+\frac{1+e^{4 x} (-2-2 x)+x+e^{8 x} (1+x)}{x^3 \log ^2(5)}\right) \left(-9-6 x+e^{4 x} \left(18-12 x-24 x^2\right)+e^{8 x} \left(-9+18 x+24 x^2\right)-3 x^4 \log ^2(5)\right)}{x^4 \log ^2(5)} \, dx","Integrate[(E^(-x + (1 + E^(4*x)*(-2 - 2*x) + x + E^(8*x)*(1 + x))/(x^3*Log[5]^2))*(-9 - 6*x + E^(4*x)*(18 - 12*x - 24*x^2) + E^(8*x)*(-9 + 18*x + 24*x^2) - 3*x^4*Log[5]^2))/(x^4*Log[5]^2),x]","3 \exp \left(\frac{x^4 \left(-\log ^2(5)\right)+x-2 e^{4 x} (x+1)+e^{8 x} (x+1)+1}{x^3 \log ^2(5)}\right)","3 e^{\frac{\left(e^{4 x}-1\right)^2 (x+1)}{x^3 \log ^2(5)}-x}",1,"3*E^((1 + x - 2*E^(4*x)*(1 + x) + E^(8*x)*(1 + x) - x^4*Log[5]^2)/(x^3*Log[5]^2))","A",1
10302,1,26,30,0.1136863,"\int \frac{12+e^{1-x} (-12-4 x)+4 x+\left(-12-4 e^{1-x}-4 x+4 \log (2)\right) \log \left(3+e^{1-x}+x-\log (2)\right)}{27+27 x+9 x^2+x^3+e^{1-x} \left(9+6 x+x^2\right)+\left(-9-6 x-x^2\right) \log (2)+\left(-72+e^{1-x} (-24-8 x)-48 x-8 x^2+(24+8 x) \log (2)\right) \log \left(3+e^{1-x}+x-\log (2)\right)+\left(48+16 e^{1-x}+16 x-16 \log (2)\right) \log ^2\left(3+e^{1-x}+x-\log (2)\right)} \, dx","Integrate[(12 + E^(1 - x)*(-12 - 4*x) + 4*x + (-12 - 4*E^(1 - x) - 4*x + 4*Log[2])*Log[3 + E^(1 - x) + x - Log[2]])/(27 + 27*x + 9*x^2 + x^3 + E^(1 - x)*(9 + 6*x + x^2) + (-9 - 6*x - x^2)*Log[2] + (-72 + E^(1 - x)*(-24 - 8*x) - 48*x - 8*x^2 + (24 + 8*x)*Log[2])*Log[3 + E^(1 - x) + x - Log[2]] + (48 + 16*E^(1 - x) + 16*x - 16*Log[2])*Log[3 + E^(1 - x) + x - Log[2]]^2),x]","\frac{x+3}{x-4 \log \left(x+e^{1-x}+3-\log (2)\right)+3}","\frac{2}{\frac{x+3}{2 \log \left(x+e^{1-x}+3-\log (2)\right)}-2}",1,"(3 + x)/(3 + x - 4*Log[3 + E^(1 - x) + x - Log[2]])","A",1
10303,1,25,21,0.0150325,"\int \frac{2 x^2-3 x^3-6 x^6+e^{\frac{5}{x^2}} \left(-10+2 x^2\right)}{x} \, dx","Integrate[(2*x^2 - 3*x^3 - 6*x^6 + E^(5/x^2)*(-10 + 2*x^2))/x,x]","-x^6-x^3+e^{\frac{5}{x^2}} x^2+x^2","x^2 \left(-x^4+e^{\frac{5}{x^2}}-x+1\right)",1,"x^2 + E^(5/x^2)*x^2 - x^3 - x^6","A",1
10304,1,19,19,0.0571752,"\int \frac{-2 x^7+8 x^7 \log (x)+\left(1-2 e^{-7+x^2} x\right) \log ^3(x)}{\log ^3(x)} \, dx","Integrate[(-2*x^7 + 8*x^7*Log[x] + (1 - 2*E^(-7 + x^2)*x)*Log[x]^3)/Log[x]^3,x]","\frac{x^8}{\log ^2(x)}-e^{x^2-7}+x","\frac{x^8}{\log ^2(x)}-e^{x^2-7}+x",1,"-E^(-7 + x^2) + x + x^8/Log[x]^2","A",1
10305,1,30,32,0.4366189,"\int \frac{400 x+800 x^2-432 x^3+48 x^4+e^x \left(-400+160 x-16 x^2\right)}{25 x^4+70 x^5+29 x^6-28 x^7+4 x^8+e^{2 x} \left(100-40 x+4 x^2\right)+e^x \left(-100 x^2-120 x^3+68 x^4-8 x^5\right)} \, dx","Integrate[(400*x + 800*x^2 - 432*x^3 + 48*x^4 + E^x*(-400 + 160*x - 16*x^2))/(25*x^4 + 70*x^5 + 29*x^6 - 28*x^7 + 4*x^8 + E^(2*x)*(100 - 40*x + 4*x^2) + E^x*(-100*x^2 - 120*x^3 + 68*x^4 - 8*x^5)),x]","-\frac{8 (x-5)}{x^2 \left(2 x^2-7 x-5\right)-2 e^x (x-5)}","\frac{4}{\left(\frac{x}{5-x}-x\right) x^2-\frac{x^2}{2}+e^x}",1,"(-8*(-5 + x))/(-2*E^x*(-5 + x) + x^2*(-5 - 7*x + 2*x^2))","A",1
10306,1,26,29,0.8146022,"\int \frac{1}{4} e^{e^x} \left(-10+40 x-20 e^{2 x} x+e^{\log ^2(5)} \left(5+5 e^x x\right)+e^x \left(-20-30 x+20 x^2\right)\right) \, dx","Integrate[(E^E^x*(-10 + 40*x - 20*E^(2*x)*x + E^Log[5]^2*(5 + 5*E^x*x) + E^x*(-20 - 30*x + 20*x^2)))/4,x]","\frac{5}{4} e^{e^x} x \left(4 x-4 e^x-2+e^{\log ^2(5)}\right)","5 e^{e^x} x \left(x-e^x+\frac{1}{4} \left(e^{\log ^2(5)}-2\right)\right)-3",1,"(5*E^E^x*x*(-2 - 4*E^x + E^Log[5]^2 + 4*x))/4","A",1
10307,1,32,28,0.2167255,"\int \frac{\exp \left(\frac{e^{-\frac{20-9 x^2-5 x^3}{9 x+5 x^2}} \left(1+2 e^{\frac{20-9 x^2-5 x^3}{9 x+5 x^2}} x^2\right)}{x}-\frac{20-9 x^2-5 x^3}{9 x+5 x^2}\right) \left(180+119 x-9 x^2+65 x^3+25 x^4+e^{\frac{20-9 x^2-5 x^3}{9 x+5 x^2}} \left(162 x^3+180 x^4+50 x^5\right)\right)}{81 x^3+90 x^4+25 x^5} \, dx","Integrate[(E^((1 + 2*E^((20 - 9*x^2 - 5*x^3)/(9*x + 5*x^2))*x^2)/(E^((20 - 9*x^2 - 5*x^3)/(9*x + 5*x^2))*x) - (20 - 9*x^2 - 5*x^3)/(9*x + 5*x^2))*(180 + 119*x - 9*x^2 + 65*x^3 + 25*x^4 + E^((20 - 9*x^2 - 5*x^3)/(9*x + 5*x^2))*(162*x^3 + 180*x^4 + 50*x^5)))/(81*x^3 + 90*x^4 + 25*x^5),x]","e^{2 x+\frac{e^{x+\frac{100}{9 (5 x+9)}-\frac{20}{9 x}}}{x}}","e^{2 x+\frac{e^{x-\frac{5}{\frac{5}{4} (x+1) x+x}}}{x}}",1,"E^(E^(-20/(9*x) + x + 100/(9*(9 + 5*x)))/x + 2*x)","A",1
10308,1,36,32,0.1892695,"\int \frac{e^{-x} \left(24-8 e+8 x+e^x \left(-288-120 x+16 x^2+8 x^3+e^2 (-32+8 x)+e \left(192+16 x-16 x^2\right)\right)+\left(12-12 x-4 x^2+e (-4+4 x)+e^x \left(-144-16 e^2-96 x-16 x^2+e (96+32 x)\right)\right) \log \left(x^2\right)\right)}{9+e^2+e (-6-2 x)+6 x+x^2} \, dx","Integrate[(24 - 8*E + 8*x + E^x*(-288 - 120*x + 16*x^2 + 8*x^3 + E^2*(-32 + 8*x) + E*(192 + 16*x - 16*x^2)) + (12 - 12*x - 4*x^2 + E*(-4 + 4*x) + E^x*(-144 - 16*E^2 - 96*x - 16*x^2 + E*(96 + 32*x)))*Log[x^2])/(E^x*(9 + E^2 + E*(-6 - 2*x) + 6*x + x^2)),x]","4 x^2-\frac{4 x \left(4 x-e^{-x}-4 e+12\right) \log \left(x^2\right)}{x-e+3}","4 x \left(-\left(\frac{e^{-x}}{-x+e-3}+4\right) \log \left(x^2\right)+x+\frac{5}{x}\right)",1,"4*x^2 - (4*x*(12 - 4*E - E^(-x) + 4*x)*Log[x^2])/(3 - E + x)","A",1
10309,1,24,28,0.0265575,"\int \frac{e^{13} \left(5+3 e^3-e^{3+3 x} x\right) \left(10+6 e^3+e^{3+3 x} \left(-x+3 x^2\right)\right)}{x^2 \left(-5 x-3 e^3 x+e^{3+3 x} x^2\right)} \, dx","Integrate[(E^13*(5 + 3*E^3 - E^(3 + 3*x)*x)*(10 + 6*E^3 + E^(3 + 3*x)*(-x + 3*x^2)))/(x^2*(-5*x - 3*E^3*x + E^(3 + 3*x)*x^2)),x]","-\frac{e^{13} \left(e^{3 x+3} x-3 e^3-5\right)}{x^2}","\frac{e^{16} \left(-e^{3 x}+\frac{5}{e^3 x}+\frac{3}{x}\right)}{x}",1,"-((E^13*(-5 - 3*E^3 + E^(3 + 3*x)*x))/x^2)","A",1
10310,1,11,16,0.0036961,"\int 90 e^{2 e^2+x} \, dx","Integrate[90*E^(2*E^2 + x),x]","90 e^{x+2 e^2}","45 e^{2 e^2} \left(2 e^x+3\right)",1,"90*E^(2*E^2 + x)","A",1
10311,1,40,28,0.3067523,"\int \frac{-10 e^{5-\frac{10 x}{e^5-2 x}}+2 e^{10} x-8 e^5 x^2+8 x^3+e^{-\frac{5 x}{e^5-2 x}} \left(2 e^{10}-18 e^5 x+8 x^2\right)}{144 x^2-48 x^4+4 x^6+e^{-\frac{20 x}{e^5-2 x}} \left(e^{10}-4 e^5 x+4 x^2\right)+e^{-\frac{15 x}{e^5-2 x}} \left(4 e^{10} x-16 e^5 x^2+16 x^3\right)+e^{10} \left(36-12 x^2+x^4\right)+e^5 \left(-144 x+48 x^3-4 x^5\right)+e^{-\frac{10 x}{e^5-2 x}} \left(-48 x^2+24 x^4+e^{10} \left(-12+6 x^2\right)+e^5 \left(48 x-24 x^3\right)\right)+e^{-\frac{5 x}{e^5-2 x}} \left(-96 x^3+16 x^5+e^{10} \left(-24 x+4 x^3\right)+e^5 \left(96 x^2-16 x^4\right)\right)} \, dx","Integrate[(-10*E^(5 - (10*x)/(E^5 - 2*x)) + 2*E^10*x - 8*E^5*x^2 + 8*x^3 + (2*E^10 - 18*E^5*x + 8*x^2)/E^((5*x)/(E^5 - 2*x)))/(144*x^2 - 48*x^4 + 4*x^6 + (E^10 - 4*E^5*x + 4*x^2)/E^((20*x)/(E^5 - 2*x)) + (4*E^10*x - 16*E^5*x^2 + 16*x^3)/E^((15*x)/(E^5 - 2*x)) + E^10*(36 - 12*x^2 + x^4) + E^5*(-144*x + 48*x^3 - 4*x^5) + (-48*x^2 + 24*x^4 + E^10*(-12 + 6*x^2) + E^5*(48*x - 24*x^3))/E^((10*x)/(E^5 - 2*x)) + (-96*x^3 + 16*x^5 + E^10*(-24*x + 4*x^3) + E^5*(96*x^2 - 16*x^4))/E^((5*x)/(E^5 - 2*x))),x]","-\frac{1}{x^2+2 e^{-\frac{5 x}{e^5-2 x}} x+e^{-\frac{10 x}{e^5-2 x}}-6}","\frac{1}{6-\left(x+e^{\frac{5 x}{2 x-e^5}}\right)^2}+1",1,"-(-6 + E^((-10*x)/(E^5 - 2*x)) + (2*x)/E^((5*x)/(E^5 - 2*x)) + x^2)^(-1)","A",1
10312,1,21,22,0.0344759,"\int \frac{1}{8} \left(8+e^{-2-e^x+x} \left(-8+8 e^x\right)+x\right) \, dx","Integrate[(8 + E^(-2 - E^x + x)*(-8 + 8*E^x) + x)/8,x]","\frac{x^2}{16}+x-e^{x-e^x-2}","\frac{x^2}{16}+x-e^{x-e^x-2}-4",1,"-E^(-2 - E^x + x) + x + x^2/16","A",1
10313,1,17,18,0.0815146,"\int \frac{87+3 x-87 x^2-3 x^3+\left(-87-6 x-87 x^2\right) \log (x)}{\left(1-2 x^2+x^4\right) \log ^2(x)} \, dx","Integrate[(87 + 3*x - 87*x^2 - 3*x^3 + (-87 - 6*x - 87*x^2)*Log[x])/((1 - 2*x^2 + x^4)*Log[x]^2),x]","\frac{3 x (x+29)}{\left(x^2-1\right) \log (x)}","\frac{3 (x+29)}{\left(x-\frac{1}{x}\right) \log (x)}",1,"(3*x*(29 + x))/((-1 + x^2)*Log[x])","A",1
10314,1,22,23,0.0117236,"\int \left(-e^{21}+e^{4+x} (-15-15 x)+60 x-e^{21} \log (x)\right) \, dx","Integrate[-E^21 + E^(4 + x)*(-15 - 15*x) + 60*x - E^21*Log[x],x]","30 x^2-15 e^{x+4} x-e^{21} x \log (x)","x \left(15 \left(2 x-e^{x+4}\right)-e^{21} \log (x)\right)",1,"-15*E^(4 + x)*x + 30*x^2 - E^21*x*Log[x]","A",1
10315,1,25,27,0.0196719,"\int \frac{4 x+2 e^{40} x^2+2 x^4+e^{20} \left(-2-4 x^3\right)}{e^{40} x^2-2 e^{20} x^3+x^4} \, dx","Integrate[(4*x + 2*E^40*x^2 + 2*x^4 + E^20*(-2 - 4*x^3))/(E^40*x^2 - 2*E^20*x^3 + x^4),x]","2 \left(x-\frac{1}{e^{20} \left(x-e^{20}\right)}+\frac{1}{e^{20} x}\right)","2 \left(x+\frac{1}{\left(e^{20}-x\right) x}\right)-\frac{e^{4/3}}{3}",1,"2*(1/(E^20*x) + x - 1/(E^20*(-E^20 + x)))","A",1
10316,1,17,18,0.0110827,"\int \frac{1}{125} e^{\frac{7500-9 x^4}{2500}} \left(750 e^{\frac{-7500+9 x^4}{2500}}-9 x^3\right) \, dx","Integrate[(E^((7500 - 9*x^4)/2500)*(750*E^((-7500 + 9*x^4)/2500) - 9*x^3))/125,x]","5 e^{3-\frac{9 x^4}{2500}}+6 x","5 \left(e^{3-\frac{9 x^4}{2500}}+x\right)+x-2",1,"5*E^(3 - (9*x^4)/2500) + 6*x","A",1
10317,1,35,30,0.0498077,"\int \frac{1}{4} \left(12 e^{8+3 x}+e^{2 x} \left(e^4 (-32+32 x)+e^8 \left(16+32 x+48 x^2\right)\right)+e^x \left(-12-16 x+16 x^2+e^4 \left(12-128 x+56 x^2+48 x^3\right)+e^8 \left(-3+68 x-32 x^2+120 x^3+36 x^4\right)\right)\right) \, dx","Integrate[(12*E^(8 + 3*x) + E^(2*x)*(E^4*(-32 + 32*x) + E^8*(16 + 32*x + 48*x^2)) + E^x*(-12 - 16*x + 16*x^2 + E^4*(12 - 128*x + 56*x^2 + 48*x^3) + E^8*(-3 + 68*x - 32*x^2 + 120*x^3 + 36*x^4)))/4,x]","\frac{1}{4} e^x \left(e^4 \left(6 x^2-2 x+3\right)+4 x+2 e^{x+4}-6\right)^2","e^x \left(e^4 \left(3 x^2-x+e^x+\frac{3}{2}\right)+2 x-3\right)^2",1,"(E^x*(-6 + 2*E^(4 + x) + 4*x + E^4*(3 - 2*x + 6*x^2))^2)/4","A",1
10318,1,34,25,0.0745292,"\int \frac{\left(-208 x-60 x^2+108 x^3-36 x^4+4 x^5\right) \log (2 x)+\left(-60+164 x-57 x^2-15 x^3+9 x^4-x^5\right) \log \left(\frac{400-1920 x+2424 x^2-48 x^3-607 x^4+132 x^5+30 x^6-12 x^7+x^8}{81-108 x+54 x^2-12 x^3+x^4}\right)}{\left(60 x-164 x^2+57 x^3+15 x^4-9 x^5+x^6\right) \log ^2(2 x)} \, dx","Integrate[((-208*x - 60*x^2 + 108*x^3 - 36*x^4 + 4*x^5)*Log[2*x] + (-60 + 164*x - 57*x^2 - 15*x^3 + 9*x^4 - x^5)*Log[(400 - 1920*x + 2424*x^2 - 48*x^3 - 607*x^4 + 132*x^5 + 30*x^6 - 12*x^7 + x^8)/(81 - 108*x + 54*x^2 - 12*x^3 + x^4)])/((60*x - 164*x^2 + 57*x^3 + 15*x^4 - 9*x^5 + x^6)*Log[2*x]^2),x]","\frac{\log \left(\frac{\left(x^4-6 x^3-3 x^2+48 x-20\right)^2}{(x-3)^4}\right)}{\log (2 x)}","\frac{\log \left(\left(\left(x+\frac{4}{3-x}\right)^2-4\right)^2\right)}{\log (2 x)}",1,"Log[(-20 + 48*x - 3*x^2 - 6*x^3 + x^4)^2/(-3 + x)^4]/Log[2*x]","A",1
10319,1,13,19,0.0579296,"\int \frac{e^{-x} \left(-10+2 x+\left(6 x-x^2\right) \log \left(x^2\right)\right)}{x} \, dx","Integrate[(-10 + 2*x + (6*x - x^2)*Log[x^2])/(E^x*x),x]","e^{-x} (x-5) \log \left(x^2\right)","e^{-x} (x-5) \log \left(x^2\right)+2-\log (259)",1,"((-5 + x)*Log[x^2])/E^x","A",1
10320,1,32,33,0.4530536,"\int \frac{-e^{25-x} \log (3)+(8-2 x) \log (3)}{-13+e^{25-x}+8 x-x^2} \, dx","Integrate[(-(E^(25 - x)*Log[3]) + (8 - 2*x)*Log[3])/(-13 + E^(25 - x) + 8*x - x^2),x]","\log (3) \left(\log \left(e^x x^2-8 e^x x+13 e^x-e^{25}\right)-x\right)","\log (3) \log \left(\frac{1}{2} \left(\frac{1}{3} \left(e^{25-x}-(1-x)^2\right)-4\right)+x\right)",1,"Log[3]*(-x + Log[-E^25 + 13*E^x - 8*E^x*x + E^x*x^2])","A",1
10321,1,37,34,0.1857844,"\int \frac{-36+360 x-900 x^2+\left(-18+192 x-570 x^2+300 x^3\right) \log (2 x)+\left(5-25 x+2 x^2-20 x^3+50 x^4+(-5+50 x) \log (x)\right) \log ^3(2 x)}{\left(x^2-10 x^3+25 x^4\right) \log ^3(2 x)} \, dx","Integrate[(-36 + 360*x - 900*x^2 + (-18 + 192*x - 570*x^2 + 300*x^3)*Log[2*x] + (5 - 25*x + 2*x^2 - 20*x^3 + 50*x^4 + (-5 + 50*x)*Log[x])*Log[2*x]^3)/((x^2 - 10*x^3 + 25*x^4)*Log[2*x]^3),x]","2 x+\frac{18}{x \log ^2(2 x)}-\frac{12}{\log (2 x)}-\frac{5 \log (x)}{(5 x-1) x}","-\frac{\log (x)}{x^2-\frac{x}{5}}+\frac{2 \left(x-\frac{3}{\log (2 x)}\right)^2}{x}+1",1,"2*x - (5*Log[x])/(x*(-1 + 5*x)) + 18/(x*Log[2*x]^2) - 12/Log[2*x]","A",1
10322,1,31,29,1.664536,"\int \frac{-75+60 x-12 x^2+\exp \left(\frac{30 x-12 x^2+e^x (5+x) \log (5)}{-15+6 x}\right) \left(-150+120 x-24 x^2+e^x \left(-40+5 x+2 x^2\right) \log (5)\right)}{75-60 x+12 x^2} \, dx","Integrate[(-75 + 60*x - 12*x^2 + E^((30*x - 12*x^2 + E^x*(5 + x)*Log[5])/(-15 + 6*x))*(-150 + 120*x - 24*x^2 + E^x*(-40 + 5*x + 2*x^2)*Log[5]))/(75 - 60*x + 12*x^2),x]","\frac{1}{3} \left(3\ 5^{\frac{e^x (x+5)}{6 x-15}} e^{-2 x}-3 x\right)","e^{\frac{e^x (x+5) \log (5)}{3 (2 x-5)}-2 x}-x",1,"((3*5^((E^x*(5 + x))/(-15 + 6*x)))/E^(2*x) - 3*x)/3","A",1
10323,1,32,32,0.1265116,"\int \frac{5-5 e^x+5 x-5 x^2+\left(5+4 x^2+x^3+e^x (-5+6 x)\right) \log (x)+\left(-x^3+e^x \left(x-x^2\right)\right) \log ^2(x)+\left(5+(5-x) \log (x)-x \log ^2(x)\right) \log \left(\frac{1}{2} (-5+x \log (x))\right)}{-5 x^2 \log ^2(x)+x^3 \log ^3(x)} \, dx","Integrate[(5 - 5*E^x + 5*x - 5*x^2 + (5 + 4*x^2 + x^3 + E^x*(-5 + 6*x))*Log[x] + (-x^3 + E^x*(x - x^2))*Log[x]^2 + (5 + (5 - x)*Log[x] - x*Log[x]^2)*Log[(-5 + x*Log[x])/2])/(-5*x^2*Log[x]^2 + x^3*Log[x]^3),x]","\frac{-x^2+x-e^x+\log \left(\frac{1}{2} (x \log (x)-5)\right)+1}{x \log (x)}","\frac{-x^2+x-e^x+\log \left(\frac{1}{2} (x \log (x)-5)\right)+1}{x \log (x)}",1,"(1 - E^x + x - x^2 + Log[(-5 + x*Log[x])/2])/(x*Log[x])","A",1
10324,1,23,28,0.0086986,"\int \frac{9 e^7-x^2+e^2 x^2+x^2 \log (5)}{x^2 \log (5)} \, dx","Integrate[(9*E^7 - x^2 + E^2*x^2 + x^2*Log[5])/(x^2*Log[5]),x]","\frac{x \left(-1+e^2+\log (5)\right)-\frac{9 e^7}{x}}{\log (5)}","x+\frac{(x+9) \left(e^2 \left(x-e^5\right)-x\right)}{x \log (5)}",1,"((-9*E^7)/x + x*(-1 + E^2 + Log[5]))/Log[5]","A",1
10325,1,28,25,0.2520943,"\int \frac{\exp \left(\frac{\left(1152+144 e^x\right) \log ^4(x)}{5 x^4-10 x^3 \log ^2(x)+5 x^2 \log ^4(x)}\right) \left(\left(-4608 x-576 e^x x\right) \log ^3(x)+\left(4608 x+e^x \left(576 x-144 x^2\right)\right) \log ^4(x)+\left(-2304+e^x (-288+144 x)\right) \log ^6(x)\right)}{-5 x^6+15 x^5 \log ^2(x)-15 x^4 \log ^4(x)+5 x^3 \log ^6(x)} \, dx","Integrate[(E^(((1152 + 144*E^x)*Log[x]^4)/(5*x^4 - 10*x^3*Log[x]^2 + 5*x^2*Log[x]^4))*((-4608*x - 576*E^x*x)*Log[x]^3 + (4608*x + E^x*(576*x - 144*x^2))*Log[x]^4 + (-2304 + E^x*(-288 + 144*x))*Log[x]^6))/(-5*x^6 + 15*x^5*Log[x]^2 - 15*x^4*Log[x]^4 + 5*x^3*Log[x]^6),x]","\exp \left(\frac{144 \left(e^x+8\right) \log ^4(x)}{5 x^2 \left(x-\log ^2(x)\right)^2}\right)","e^{\frac{144 \left(e^x+8\right)}{5 \left(\frac{x^2}{\log ^2(x)}-x\right)^2}}",1,"E^((144*(8 + E^x)*Log[x]^4)/(5*x^2*(x - Log[x]^2)^2))","A",1
10326,1,11,29,0.00419,"\int \frac{-1+x+2 e^{x^2} x^2}{x} \, dx","Integrate[(-1 + x + 2*E^x^2*x^2)/x,x]","e^{x^2}+x-\log (x)","e^{x^2}+x-\log (x)+2-\log \left(\frac{1}{2} (1-\log (2))\right)-\log (3)",1,"E^x^2 + x - Log[x]","A",1
10327,1,15,19,0.0000838,"\int (3+4 x+2 \log (\log (3))) \, dx","Integrate[3 + 4*x + 2*Log[Log[3]],x]","2 x^2+3 x+2 x \log (\log (3))","(2 x+3) x+2 x \log (\log (3))+16 e^4",1,"3*x + 2*x^2 + 2*x*Log[Log[3]]","A",1
10328,1,28,29,0.2978539,"\int e^{-2 e^{1-5 e^{1-x}+5 x}} x^{-2+\frac{e^{-2 e^{1-5 e^{1-x}+5 x}}}{x^2}} \left(1+e^{2 e^{1-5 e^{1-x}+5 x}} x^2-2 \log (x)+e^{-5 e^{1-x}+5 x} \left(-10 e x-10 e^{2-x} x\right) \log (x)\right) \, dx","Integrate[(x^(-2 + 1/(E^(2*E^(1 - 5*E^(1 - x) + 5*x))*x^2))*(1 + E^(2*E^(1 - 5*E^(1 - x) + 5*x))*x^2 - 2*Log[x] + E^(-5*E^(1 - x) + 5*x)*(-10*E*x - 10*E^(2 - x)*x)*Log[x]))/E^(2*E^(1 - 5*E^(1 - x) + 5*x)),x]","x^{\frac{e^{-2 e^{5 x-5 e^{1-x}+1}}}{x^2}+1}","x^{\frac{e^{-2 e^{5 \left(x-e^{1-x}\right)+1}}}{x^2}+1}",1,"x^(1 + 1/(E^(2*E^(1 - 5*E^(1 - x) + 5*x))*x^2))","A",1
10329,1,17,17,0.0156928,"\int \left(-1+5 e^{1+\frac{1}{4} \left(3+20 e^{1+x}\right)+x}\right) \, dx","Integrate[-1 + 5*E^(1 + (3 + 20*E^(1 + x))/4 + x),x]","e^{5 e^{x+1}+\frac{3}{4}}-x","e^{5 e^{x+1}+\frac{3}{4}}-x",1,"E^(3/4 + 5*E^(1 + x)) - x","A",1
10330,1,17,20,0.0433592,"\int \frac{2+x+x^2+e^x \left(-x+x^2\right)}{-x+x^2} \, dx","Integrate[(2 + x + x^2 + E^x*(-x + x^2))/(-x + x^2),x]","x+e^x+4 \log (1-x)-2 \log (x)","\log \left(\left(1-\frac{1}{x}\right)^4 x^2\right)+x+e^x-8",1,"E^x + x + 4*Log[1 - x] - 2*Log[x]","A",1
10331,1,24,24,0.2316632,"\int -\frac{12 \exp \left(e^{\frac{1}{5} \left(\log ^2(10)+5 \log \left(e^{-x} \left(4+e^x\right)\right)\right)}+\frac{1}{5} \left(\log ^2(10)+5 \log \left(e^{-x} \left(4+e^x\right)\right)\right)\right)}{4+e^x} \, dx","Integrate[(-12*E^(E^((Log[10]^2 + 5*Log[(4 + E^x)/E^x])/5) + (Log[10]^2 + 5*Log[(4 + E^x)/E^x])/5))/(4 + E^x),x]","3 e^{\left(e^x+4\right) e^{\frac{\log ^2(10)}{5}-x}}","3 e^{\left(4 e^{-x}+1\right) e^{\frac{\log ^2(10)}{5}}}",1,"3*E^(E^(-x + Log[10]^2/5)*(4 + E^x))","A",1
10332,1,15,13,0.0066765,"\int \left(5+10 e^{2 x}+10 e^x \log (7)\right) \, dx","Integrate[5 + 10*E^(2*x) + 10*E^x*Log[7],x]","5 \left(x+e^{2 x}+e^x \log (49)\right)","5 \left(x+\left(e^x+\log (7)\right)^2-175\right)",1,"5*(E^(2*x) + x + E^x*Log[49])","A",1
10333,1,25,23,0.0086056,"\int \left(1+\log \left(\frac{x+e x (i \pi +\log (5-\log (5)))}{e}\right)\right) \, dx","Integrate[1 + Log[(x + E*x*(I*Pi + Log[5 - Log[5]]))/E],x]","-x+x \log (x+e x (\log (5-\log (5))+i \pi ))","4+x \log \left(x \left(\frac{1}{e}+i \pi +\log (5-\log (5))\right)\right)",1,"-x + x*Log[x + E*x*(I*Pi + Log[5 - Log[5]])]","A",1
10334,1,21,24,0.4152765,"\int \frac{-3+2 x^3+e^{2 x} (-3+6 x)}{\left(3 x+3 e^{2 x} x+1876 x^2+x^4\right) \log \left(\frac{3+3 e^{2 x}+1876 x+x^3}{x}\right)} \, dx","Integrate[(-3 + 2*x^3 + E^(2*x)*(-3 + 6*x))/((3*x + 3*E^(2*x)*x + 1876*x^2 + x^4)*Log[(3 + 3*E^(2*x) + 1876*x + x^3)/x]),x]","\log \left(\log \left(\frac{x^3+1876 x+3 e^{2 x}+3}{x}\right)\right)","\log \left(4 \log \left(x^2+3 \left(\frac{e^{2 x}+1}{x}+625\right)+1\right)\right)",1,"Log[Log[(3 + 3*E^(2*x) + 1876*x + x^3)/x]]","A",1
10335,1,23,31,0.4860164,"\int \frac{162 x^5+9 x^6+e^{2 e^x} \left(135 x^4-108 e^x x^5\right)}{27 e^{6 e^x}+216 x^3+108 x^4+18 x^5+x^6+e^{4 e^x} \left(162 x+27 x^2\right)+e^{2 e^x} \left(324 x^2+108 x^3+9 x^4\right)} \, dx","Integrate[(162*x^5 + 9*x^6 + E^(2*E^x)*(135*x^4 - 108*E^x*x^5))/(27*E^(6*E^x) + 216*x^3 + 108*x^4 + 18*x^5 + x^6 + E^(4*E^x)*(162*x + 27*x^2) + E^(2*E^x)*(324*x^2 + 108*x^3 + 9*x^4)),x]","\frac{9 x^5}{\left(x^2+6 x+3 e^{2 e^x}\right)^2}","\frac{x^3}{\left(\left(\frac{e^{2 e^x}}{x^2}+\frac{2}{x}\right) x+\frac{x}{3}\right)^2}",1,"(9*x^5)/(3*E^(2*E^x) + 6*x + x^2)^2","A",1