1,1,10,9,0.034000," ","int((1+2*x)^(1/2),x)","\frac{\left(2 x +1\right)^{\frac{3}{2}}}{3}"," ",0,"1/3*(1+2*x)^(3/2)","A"
2,1,15,19,0.003000," ","int(x*(1+3*x)^(1/2),x)","\frac{2 \left(3 x +1\right)^{\frac{3}{2}} \left(9 x -2\right)}{135}"," ",0,"2/135*(1+3*x)^(3/2)*(9*x-2)","A"
3,1,18,22,0.004000," ","int(x^2*(1+x)^(1/2),x)","\frac{2 \left(x +1\right)^{\frac{3}{2}} \left(15 x^{2}-12 x +8\right)}{105}"," ",0,"2/105*(1+x)^(3/2)*(15*x^2-12*x+8)","A"
4,1,15,19,0.003000," ","int(x/(2-3*x)^(1/2),x)","-\frac{2 \left(3 x +4\right) \sqrt{-3 x +2}}{27}"," ",0,"-2/27*(3*x+4)*(2-3*x)^(1/2)","A"
5,1,13,12,0.007000," ","int((x+1)/(x^2+2*x+2)^3,x)","-\frac{1}{4 \left(x^{2}+2 x +2\right)^{2}}"," ",0,"-1/4/(x^2+2*x+2)^2","A"
6,1,11,11,0.145000," ","int(sin(x)^3,x)","-\frac{\left(\sin^{2}\left(x \right)+2\right) \cos \left(x \right)}{3}"," ",0,"-1/3*(2+sin(x)^2)*cos(x)","A"
7,1,13,15,0.004000," ","int((-1+z)^(1/3)*z,z)","\frac{3 \left(z -1\right)^{\frac{4}{3}} \left(4 z +3\right)}{28}"," ",0,"3/28*(-1+z)^(4/3)*(4*z+3)","A"
8,1,7,6,0.019000," ","int(cos(x)/sin(x)^3,x)","-\frac{1}{2 \sin \left(x \right)^{2}}"," ",0,"-1/2/sin(x)^2","A"
9,1,13,12,0.026000," ","int(cos(2*x)*(4-sin(2*x))^(1/2),x)","-\frac{\left(-\sin \left(2 x \right)+4\right)^{\frac{3}{2}}}{3}"," ",0,"-1/3*(4-sin(2*x))^(3/2)","A"
10,1,7,6,0.066000," ","int(sin(x)/(3+cos(x))^2,x)","\frac{1}{\cos \left(x \right)+3}"," ",0,"1/(3+cos(x))","A"
11,1,11,10,0.073000," ","int(sin(x)/(cos(x)^3)^(1/2),x)","\frac{4 \cos \left(x \right)}{\sqrt{3 \cos \left(x \right)+\cos \left(3 x \right)}}"," ",0,"2*cos(x)/(cos(x)^3)^(1/2)","A"
12,1,9,8,0.009000," ","int(sin((x+1)^(1/2))/(x+1)^(1/2),x)","-2 \cos \left(\sqrt{x +1}\right)"," ",0,"-2*cos((x+1)^(1/2))","A"
13,1,10,9,0.018000," ","int(x^(-1+n)*sin(x^n),x)","-\frac{\cos \left(x^{n}\right)}{n}"," ",0,"-cos(x^n)/n","A"
14,1,32,11,0.010000," ","int(x^5/(-x^6+1)^(1/2),x)","\frac{\left(x -1\right) \left(x +1\right) \left(x^{2}+x +1\right) \left(x^{2}-x +1\right)}{3 \sqrt{-x^{6}+1}}"," ",0,"1/3*(-1+x)*(x+1)*(x^2+x+1)*(x^2-x+1)/(-x^6+1)^(1/2)","B"
15,1,13,15,0.003000," ","int(t*(1+t)^(1/4),t)","\frac{4 \left(t +1\right)^{\frac{5}{4}} \left(5 t -4\right)}{45}"," ",0,"4/45*(1+t)^(5/4)*(5*t-4)","A"
16,1,10,9,0.004000," ","int(1/(x^2+1)^(3/2),x)","\frac{x}{\sqrt{x^{2}+1}}"," ",0,"x/(x^2+1)^(1/2)","A"
17,1,27,11,0.006000," ","int(x^2*(8*x^3+27)^(2/3),x)","\frac{\left(2 x +3\right) \left(4 x^{2}-6 x +9\right) \left(8 x^{3}+27\right)^{\frac{2}{3}}}{40}"," ",0,"1/40*(3+2*x)*(4*x^2-6*x+9)*(8*x^3+27)^(2/3)","B"
18,1,12,11,0.031000," ","int((cos(x)+sin(x))/(-cos(x)+sin(x))^(1/3),x)","\frac{3 \left(-\cos \left(x \right)+\sin \left(x \right)\right)^{\frac{2}{3}}}{2}"," ",0,"3/2*(-cos(x)+sin(x))^(2/3)","A"
19,0,0,26,0.144000," ","int(x/(1+x^2+(x^2+1)^(3/2))^(1/2),x)","\int \frac{x}{\sqrt{x^{2}+1+\left(x^{2}+1\right)^{\frac{3}{2}}}}\, dx"," ",0,"int(x/(1+x^2+(x^2+1)^(3/2))^(1/2),x)","F"
20,1,14,13,0.010000," ","int(x/(x^2+1)^(1/2)/((x^2+1)^(1/2)+1)^(1/2),x)","2 \sqrt{\sqrt{x^{2}+1}+1}"," ",0,"2*((x^2+1)^(1/2)+1)^(1/2)","A"
21,1,13,12,0.003000," ","int((x^2-2*x+1)^(1/5)/(1-x),x)","-\frac{5 \left(x^{2}-2 x +1\right)^{\frac{1}{5}}}{2}"," ",0,"-5/2*(x^2-2*x+1)^(1/5)","A"
22,1,9,8,0.015000," ","int(x*sin(x),x)","-x \cos \left(x \right)+\sin \left(x \right)"," ",0,"-x*cos(x)+sin(x)","A"
23,1,18,17,0.011000," ","int(x^2*sin(x),x)","-x^{2} \cos \left(x \right)+2 x \sin \left(x \right)+2 \cos \left(x \right)"," ",0,"2*cos(x)-x^2*cos(x)+2*x*sin(x)","A"
24,1,24,23,0.017000," ","int(x^3*cos(x),x)","x^{3} \sin \left(x \right)+3 x^{2} \cos \left(x \right)-6 x \sin \left(x \right)-6 \cos \left(x \right)"," ",0,"-6*cos(x)+3*x^2*cos(x)-6*x*sin(x)+x^3*sin(x)","A"
25,1,25,24,0.016000," ","int(x^3*sin(x),x)","-x^{3} \cos \left(x \right)+3 x^{2} \sin \left(x \right)+6 x \cos \left(x \right)-6 \sin \left(x \right)"," ",0,"6*x*cos(x)-x^3*cos(x)-6*sin(x)+3*x^2*sin(x)","A"
26,1,7,6,0.003000," ","int(cos(x)*sin(x),x)","\frac{\left(\sin^{2}\left(x \right)\right)}{2}"," ",0,"1/2*sin(x)^2","A"
27,1,18,17,0.005000," ","int(x*cos(x)*sin(x),x)","-\frac{x \left(\cos^{2}\left(x \right)\right)}{2}+\frac{\cos \left(x \right) \sin \left(x \right)}{4}+\frac{x}{4}"," ",0,"-1/2*x*cos(x)^2+1/4*cos(x)*sin(x)+1/4*x","A"
28,1,11,10,0.016000," ","int(sin(x)^2,x)","-\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}"," ",0,"1/2*x-1/2*cos(x)*sin(x)","A"
29,1,11,11,0.000000," ","int(sin(x)^3,x)","-\frac{\left(\sin^{2}\left(x \right)+2\right) \cos \left(x \right)}{3}"," ",0,"-1/3*(sin(x)^2+2)*cos(x)","A"
30,1,18,18,0.125000," ","int(sin(x)^4,x)","\frac{3 x}{8}-\frac{\left(\sin^{3}\left(x \right)+\frac{3 \sin \left(x \right)}{2}\right) \cos \left(x \right)}{4}"," ",0,"-1/4*(sin(x)^3+3/2*sin(x))*cos(x)+3/8*x","A"
31,1,17,17,0.104000," ","int(sin(x)^5,x)","-\frac{\left(\sin^{4}\left(x \right)+\frac{4 \left(\sin^{2}\left(x \right)\right)}{3}+\frac{8}{3}\right) \cos \left(x \right)}{5}"," ",0,"-1/5*(8/3+sin(x)^4+4/3*sin(x)^2)*cos(x)","A"
32,1,24,26,0.103000," ","int(sin(x)^6,x)","\frac{5 x}{16}-\frac{\left(\sin^{5}\left(x \right)+\frac{5 \left(\sin^{3}\left(x \right)\right)}{4}+\frac{15 \sin \left(x \right)}{8}\right) \cos \left(x \right)}{6}"," ",0,"-1/6*(sin(x)^5+5/4*sin(x)^3+15/8*sin(x))*cos(x)+5/16*x","A"
33,1,25,19,0.014000," ","int(x*sin(x)^2,x)","-\frac{x^{2}}{4}+\frac{\left(\sin^{2}\left(x \right)\right)}{4}+\left(-\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}\right) x"," ",0,"x*(-1/2*cos(x)*sin(x)+1/2*x)-1/4*x^2+1/4*sin(x)^2","A"
34,1,23,25,0.057000," ","int(x*sin(x)^3,x)","\frac{\left(\sin^{3}\left(x \right)\right)}{9}-\frac{\left(\sin^{2}\left(x \right)+2\right) x \cos \left(x \right)}{3}+\frac{2 \sin \left(x \right)}{3}"," ",0,"-1/3*x*(sin(x)^2+2)*cos(x)+1/9*sin(x)^3+2/3*sin(x)","A"
35,1,37,31,0.036000," ","int(x^2*sin(x)^2,x)","-\frac{x^{3}}{3}-\frac{x \left(\cos^{2}\left(x \right)\right)}{2}+\left(-\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}\right) x^{2}+\frac{\cos \left(x \right) \sin \left(x \right)}{4}+\frac{x}{4}"," ",0,"x^2*(-1/2*cos(x)*sin(x)+1/2*x)-1/2*x*cos(x)^2+1/4*cos(x)*sin(x)+1/4*x-1/3*x^3","A"
36,1,11,10,0.016000," ","int(cos(x)^2,x)","\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}"," ",0,"1/2*x+1/2*cos(x)*sin(x)","A"
37,1,11,9,0.094000," ","int(cos(x)^3,x)","\frac{\left(\cos^{2}\left(x \right)+2\right) \sin \left(x \right)}{3}"," ",0,"1/3*(2+cos(x)^2)*sin(x)","A"
38,1,18,18,0.109000," ","int(cos(x)^4,x)","\frac{3 x}{8}+\frac{\left(\cos^{3}\left(x \right)+\frac{3 \cos \left(x \right)}{2}\right) \sin \left(x \right)}{4}"," ",0,"1/4*(cos(x)^3+3/2*cos(x))*sin(x)+3/8*x","A"
39,1,69,68,0.008000," ","int((a^2-x^2)^(5/2),x)","\frac{5 a^{6} \arctan \left(\frac{x}{\sqrt{a^{2}-x^{2}}}\right)}{16}+\frac{5 \sqrt{a^{2}-x^{2}}\, a^{4} x}{16}+\frac{5 \left(a^{2}-x^{2}\right)^{\frac{3}{2}} a^{2} x}{24}+\frac{\left(a^{2}-x^{2}\right)^{\frac{5}{2}} x}{6}"," ",0,"5/24*a^2*x*(a^2-x^2)^(3/2)+1/6*x*(a^2-x^2)^(5/2)+5/16*a^6*arctan(x/(a^2-x^2)^(1/2))+5/16*a^4*x*(a^2-x^2)^(1/2)","A"
40,1,22,28,0.006000," ","int(x^5/(x^2+5)^(1/2),x)","\frac{\sqrt{x^{2}+5}\, \left(3 x^{4}-20 x^{2}+200\right)}{15}"," ",0,"1/15*(x^2+5)^(1/2)*(3*x^4-20*x^2+200)","A"
41,1,168,131,0.184000," ","int(t^3/(t^3+4)^(1/2),t)","\frac{2 \sqrt{t^{3}+4}\, t}{5}+\frac{8 i \sqrt{3}\, 2^{\frac{2}{3}} \sqrt{i \left(t -\frac{2^{\frac{2}{3}}}{2}-\frac{i \sqrt{3}\, 2^{\frac{2}{3}}}{2}\right) \sqrt{3}\, 2^{\frac{1}{3}}}\, \sqrt{\frac{t +2^{\frac{2}{3}}}{\frac{3 \,2^{\frac{2}{3}}}{2}+\frac{i \sqrt{3}\, 2^{\frac{2}{3}}}{2}}}\, \sqrt{-i \left(t -\frac{2^{\frac{2}{3}}}{2}+\frac{i \sqrt{3}\, 2^{\frac{2}{3}}}{2}\right) \sqrt{3}\, 2^{\frac{1}{3}}}\, \EllipticF \left(\frac{\sqrt{6}\, \sqrt{i \left(t -\frac{2^{\frac{2}{3}}}{2}-\frac{i \sqrt{3}\, 2^{\frac{2}{3}}}{2}\right) \sqrt{3}\, 2^{\frac{1}{3}}}}{6}, \sqrt{\frac{i \sqrt{3}\, 2^{\frac{2}{3}}}{\frac{3 \,2^{\frac{2}{3}}}{2}+\frac{i \sqrt{3}\, 2^{\frac{2}{3}}}{2}}}\right)}{15 \sqrt{t^{3}+4}}"," ",0,"2/5*t*(t^3+4)^(1/2)+8/15*I*3^(1/2)*2^(2/3)*(I*(t-1/2*2^(2/3)-1/2*I*3^(1/2)*2^(2/3))*3^(1/2)*2^(1/3))^(1/2)*((2^(2/3)+t)/(3/2*2^(2/3)+1/2*I*3^(1/2)*2^(2/3)))^(1/2)*(-I*(t-1/2*2^(2/3)+1/2*I*3^(1/2)*2^(2/3))*3^(1/2)*2^(1/3))^(1/2)/(t^3+4)^(1/2)*EllipticF(1/6*6^(1/2)*(I*(t-1/2*2^(2/3)-1/2*I*3^(1/2)*2^(2/3))*3^(1/2)*2^(1/3))^(1/2),(I*3^(1/2)*2^(2/3)/(3/2*2^(2/3)+1/2*I*3^(1/2)*2^(2/3)))^(1/2))","A"
42,1,7,6,0.005000," ","int(tan(x)^2,x)","-x +\tan \left(x \right)"," ",0,"-x+tan(x)","A"
43,1,13,12,0.004000," ","int(tan(x)^4,x)","\frac{\left(\tan^{3}\left(x \right)\right)}{3}+x -\tan \left(x \right)"," ",0,"x-tan(x)+1/3*tan(x)^3","A"
44,1,12,8,0.004000," ","int(cot(x)^2,x)","-x -\cot \left(x \right)+\frac{\pi}{2}"," ",0,"-cot(x)+1/2*Pi-x","A"
45,1,14,10,0.003000," ","int(cot(x)^4,x)","-\frac{\left(\cot^{3}\left(x \right)\right)}{3}+x +\cot \left(x \right)-\frac{\pi}{2}"," ",0,"-1/3*cot(x)^3+cot(x)-1/2*Pi+x","A"
46,1,21,18,0.021000," ","int((2+3*x)*sin(5*x),x)","-\frac{3 x \cos \left(5 x \right)}{5}-\frac{2 \cos \left(5 x \right)}{5}+\frac{3 \sin \left(5 x \right)}{25}"," ",0,"-2/5*cos(5*x)+3/25*sin(5*x)-3/5*cos(5*x)*x","A"
47,1,10,9,0.003000," ","int(x*(x^2+1)^(1/2),x)","\frac{\left(x^{2}+1\right)^{\frac{3}{2}}}{3}"," ",0,"1/3*(x^2+1)^(3/2)","A"
48,1,52,11,0.002000," ","int(x*(x^2-1)^9,x)","\frac{1}{20} x^{20}-\frac{1}{2} x^{18}+\frac{9}{4} x^{16}-6 x^{14}+\frac{21}{2} x^{12}-\frac{63}{5} x^{10}+\frac{21}{2} x^{8}-6 x^{6}+\frac{9}{4} x^{4}-\frac{1}{2} x^{2}"," ",0,"1/20*x^20-1/2*x^18+9/4*x^16-6*x^14+21/2*x^12-63/5*x^10+21/2*x^8-6*x^6+9/4*x^4-1/2*x^2","B"
49,1,20,16,0.006000," ","int((2*x+3)/(7+6*x)^3,x)","-\frac{1}{18 \left(6 x +7\right)}-\frac{1}{18 \left(6 x +7\right)^{2}}"," ",0,"-1/18/(7+6*x)-1/18/(7+6*x)^2","A"
50,1,32,9,0.001000," ","int(x^4*(x^5+1)^5,x)","\frac{1}{30} x^{30}+\frac{1}{5} x^{25}+\frac{1}{2} x^{20}+\frac{2}{3} x^{15}+\frac{1}{2} x^{10}+\frac{1}{5} x^{5}"," ",0,"1/30*x^30+1/5*x^25+1/2*x^20+2/3*x^15+1/2*x^10+1/5*x^5","B"
51,1,107,46,0.003000," ","int((1-x)^20*x^4,x)","\frac{1}{25} x^{25}-\frac{5}{6} x^{24}+\frac{190}{23} x^{23}-\frac{570}{11} x^{22}+\frac{1615}{7} x^{21}-\frac{3876}{5} x^{20}+2040 x^{19}-\frac{12920}{3} x^{18}+7410 x^{17}-\frac{20995}{2} x^{16}+\frac{184756}{15} x^{15}-\frac{83980}{7} x^{14}+9690 x^{13}-6460 x^{12}+\frac{38760}{11} x^{11}-\frac{7752}{5} x^{10}+\frac{1615}{3} x^{9}-\frac{285}{2} x^{8}+\frac{190}{7} x^{7}-\frac{10}{3} x^{6}+\frac{1}{5} x^{5}"," ",0,"1/25*x^25-5/6*x^24+190/23*x^23-570/11*x^22+1615/7*x^21-3876/5*x^20+2040*x^19-12920/3*x^18+7410*x^17-20995/2*x^16+184756/15*x^15-83980/7*x^14+9690*x^13-6460*x^12+38760/11*x^11-7752/5*x^10+1615/3*x^9-285/2*x^8+190/7*x^7-10/3*x^6+1/5*x^5","B"
52,1,5,4,0.005000," ","int(sin(1/x)/x^2,x)","\cos \left(\frac{1}{x}\right)"," ",0,"cos(1/x)","A"
53,1,49,48,0.007000," ","int(sin((x-1)^(1/4)),x)","24 \left(x -1\right)^{\frac{1}{4}} \cos \left(\left(x -1\right)^{\frac{1}{4}}\right)-4 \left(x -1\right)^{\frac{3}{4}} \cos \left(\left(x -1\right)^{\frac{1}{4}}\right)-24 \sin \left(\left(x -1\right)^{\frac{1}{4}}\right)+12 \sqrt{x -1}\, \sin \left(\left(x -1\right)^{\frac{1}{4}}\right)"," ",0,"24*(x-1)^(1/4)*cos((x-1)^(1/4))-4*(x-1)^(3/4)*cos((x-1)^(1/4))-24*sin((x-1)^(1/4))+12*sin((x-1)^(1/4))*(x-1)^(1/2)","A"
54,1,9,8,0.003000," ","int(x*cos(x^2)*sin(x^2),x)","-\frac{\left(\cos^{2}\left(x^{2}\right)\right)}{4}"," ",0,"-1/4*cos(x^2)^2","A"
55,1,13,12,0.071000," ","int(sin(2*x)*(1+3*cos(x)^2)^(1/2),x)","-\frac{2 \left(3 \left(\cos^{2}\left(x \right)\right)+1\right)^{\frac{3}{2}}}{9}"," ",0,"-2/9*(1+3*cos(x)^2)^(3/2)","A"
56,1,9,8,0.000000," ","int(1/(2+3*x),x)","\frac{\ln \left(3 x +2\right)}{3}"," ",0,"1/3*ln(2+3*x)","A"
57,1,16,15,0.009000," ","int(ln(x)^2,x)","x \ln \left(x \right)^{2}-2 x \ln \left(x \right)+2 x"," ",0,"2*x-2*x*ln(x)+x*ln(x)^2","A"
58,1,14,13,0.003000," ","int(x*ln(x),x)","\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}"," ",0,"-1/4*x^2+1/2*x^2*ln(x)","A"
59,1,23,22,0.003000," ","int(x*ln(x)^2,x)","\frac{x^{2} \ln \left(x \right)^{2}}{2}-\frac{x^{2} \ln \left(x \right)}{2}+\frac{x^{2}}{4}"," ",0,"1/4*x^2-1/2*x^2*ln(x)+1/2*x^2*ln(x)^2","A"
60,1,5,4,0.001000," ","int(1/(t+1),t)","\ln \left(t +1\right)"," ",0,"ln(t+1)","A"
61,1,4,3,0.002000," ","int(cot(x),x)","\ln \left(\sin \left(x \right)\right)"," ",0,"ln(sin(x))","A"
62,1,36,28,0.026000," ","int(x^n*ln(a*x),x)","\frac{x \,{\mathrm e}^{n \ln \left(x \right)} \ln \left(a x \right)}{n +1}-\frac{x \,{\mathrm e}^{n \ln \left(x \right)}}{n^{2}+2 n +1}"," ",0,"1/(1+n)*x*ln(a*x)*exp(n*ln(x))-1/(n^2+2*n+1)*x*exp(n*ln(x))","A"
63,1,23,22,0.003000," ","int(x^2*ln(x)^2,x)","\frac{x^{3} \ln \left(x \right)^{2}}{3}-\frac{2 x^{3} \ln \left(x \right)}{9}+\frac{2 x^{3}}{27}"," ",0,"2/27*x^3-2/9*x^3*ln(x)+1/3*x^3*ln(x)^2","A"
64,1,4,3,0.003000," ","int(1/x/ln(x),x)","\ln \left(\ln \left(x \right)\right)"," ",0,"ln(ln(x))","A"
65,1,11,10,0.001000," ","int(ln(1-t)/(1-t),t)","-\frac{\ln \left(-t +1\right)^{2}}{2}"," ",0,"-1/2*ln(1-t)^2","A"
66,1,18,17,0.007000," ","int(ln(x)/x/(1+ln(x))^(1/2),x)","\frac{2 \left(\ln \left(x \right)+1\right)^{\frac{3}{2}}}{3}-2 \sqrt{\ln \left(x \right)+1}"," ",0,"2/3*(1+ln(x))^(3/2)-2*(1+ln(x))^(1/2)","A"
67,1,32,31,0.004000," ","int(x^3*ln(x)^3,x)","\frac{x^{4} \ln \left(x \right)^{3}}{4}-\frac{3 x^{4} \ln \left(x \right)^{2}}{16}+\frac{3 x^{4} \ln \left(x \right)}{32}-\frac{3 x^{4}}{128}"," ",0,"-3/128*x^4+3/32*x^4*ln(x)-3/16*x^4*ln(x)^2+1/4*x^4*ln(x)^3","A"
68,1,7,6,0.005000," ","int(exp(x^3)*x^2,x)","\frac{{\mathrm e}^{x^{3}}}{3}"," ",0,"1/3*exp(x^3)","A"
69,1,12,12,0.004000," ","int(2^(x^(1/2))/x^(1/2),x)","\frac{2 \,2^{\sqrt{x}}}{\ln \left(2\right)}"," ",0,"2/ln(2)*2^(x^(1/2))","A"
70,1,8,7,0.014000," ","int(exp(2*sin(x))*cos(x),x)","\frac{{\mathrm e}^{2 \sin \left(x \right)}}{2}"," ",0,"1/2*exp(2*sin(x))","A"
71,1,14,13,0.013000," ","int(exp(x)*sin(x),x)","-\frac{\cos \left(x \right) {\mathrm e}^{x}}{2}+\frac{{\mathrm e}^{x} \sin \left(x \right)}{2}"," ",0,"-1/2*exp(x)*cos(x)+1/2*exp(x)*sin(x)","A"
72,1,14,13,0.015000," ","int(cos(x)*exp(x),x)","\frac{\cos \left(x \right) {\mathrm e}^{x}}{2}+\frac{{\mathrm e}^{x} \sin \left(x \right)}{2}"," ",0,"1/2*cos(x)*exp(x)+1/2*exp(x)*sin(x)","A"
73,1,12,9,0.008000," ","int(1/(1+exp(x)),x)","-\ln \left({\mathrm e}^{x}+1\right)+\ln \left({\mathrm e}^{x}\right)"," ",0,"-ln(1+exp(x))+ln(exp(x))","A"
74,1,7,9,0.002000," ","int(exp(x)*x,x)","\left(x -1\right) {\mathrm e}^{x}"," ",0,"(x-1)*exp(x)","A"
75,1,10,14,0.002000," ","int(x/exp(x),x)","-\left(x +1\right) {\mathrm e}^{-x}"," ",0,"-(x+1)/exp(x)","A"
76,1,12,16,0.003000," ","int(exp(x)*x^2,x)","\left(x^{2}-2 x +2\right) {\mathrm e}^{x}"," ",0,"(x^2-2*x+2)*exp(x)","A"
77,1,19,29,0.003000," ","int(x^2/exp(2*x),x)","-\frac{\left(2 x^{2}+2 x +1\right) {\mathrm e}^{-2 x}}{4}"," ",0,"-1/4*(2*x^2+2*x+1)/exp(2*x)","A"
78,1,17,16,0.009000," ","int(exp(x^(1/2)),x)","2 \sqrt{x}\, {\mathrm e}^{\sqrt{x}}-2 \,{\mathrm e}^{\sqrt{x}}"," ",0,"-2*exp(x^(1/2))+2*exp(x^(1/2))*x^(1/2)","A"
79,1,14,20,0.004000," ","int(x^3/exp(x^2),x)","-\frac{\left(x^{2}+1\right) {\mathrm e}^{-x^{2}}}{2}"," ",0,"-1/2*(x^2+1)/exp(x^2)","A"
80,1,40,39,0.023000," ","int(exp(a*x)*cos(b*x),x)","\frac{a \cos \left(b x \right) {\mathrm e}^{a x}}{a^{2}+b^{2}}+\frac{b \,{\mathrm e}^{a x} \sin \left(b x \right)}{a^{2}+b^{2}}"," ",0,"a*exp(a*x)*cos(b*x)/(a^2+b^2)+b*exp(a*x)*sin(b*x)/(a^2+b^2)","A"
81,1,41,40,0.007000," ","int(exp(a*x)*sin(b*x),x)","\frac{a \,{\mathrm e}^{a x} \sin \left(b x \right)}{a^{2}+b^{2}}-\frac{b \cos \left(b x \right) {\mathrm e}^{a x}}{a^{2}+b^{2}}"," ",0,"-b*exp(a*x)*cos(b*x)/(a^2+b^2)+a*exp(a*x)*sin(b*x)/(a^2+b^2)","A"
82,1,14,13,0.004000," ","int(arccot(x),x)","x \,\mathrm{arccot}\left(x \right)+\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"x*arccot(x)+1/2*ln(x^2+1)","A"
83,1,22,17,0.007000," ","int(arcsec(x),x)","x \,\mathrm{arcsec}\left(x \right)-\ln \left(x +\sqrt{-\frac{1}{x^{2}}+1}\, x \right)"," ",0,"x*arcsec(x)-ln(x+x*(1-1/x^2)^(1/2))","A"
84,1,20,15,0.006000," ","int(arccsc(x),x)","x \,\mathrm{arccsc}\left(x \right)+\ln \left(x +\sqrt{-\frac{1}{x^{2}}+1}\, x \right)"," ",0,"x*arccsc(x)+ln(x+(-1/x^2+1)^(1/2)*x)","A"
85,1,24,23,0.074000," ","int(arcsin(x)^2,x)","x \arcsin \left(x \right)^{2}-2 x +2 \sqrt{-x^{2}+1}\, \arcsin \left(x \right)"," ",0,"-2*x+x*arcsin(x)^2+2*arcsin(x)*(-x^2+1)^(1/2)","A"
86,1,21,20,0.005000," ","int(arcsin(x)/x^2,x)","-\arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)-\frac{\arcsin \left(x \right)}{x}"," ",0,"-arcsin(x)/x-arctanh(1/(-x^2+1)^(1/2))","A"
87,1,15,14,0.004000," ","int(1/(a^2-x^2)^(1/2),x)","\arctan \left(\frac{x}{\sqrt{a^{2}-x^{2}}}\right)"," ",0,"arctan(1/(a^2-x^2)^(1/2)*x)","A"
88,1,10,9,0.005000," ","int(1/(-x^2-2*x+1)^(1/2),x)","\arcsin \left(\frac{\left(x +1\right) \sqrt{2}}{2}\right)"," ",0,"arcsin(1/2*(x+1)*2^(1/2))","A"
89,1,11,10,0.005000," ","int(1/(a^2+x^2),x)","\frac{\arctan \left(\frac{x}{a}\right)}{a}"," ",0,"arctan(x/a)/a","A"
90,1,16,16,0.007000," ","int(1/(b*x^2+a),x)","\frac{\arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"1/(a*b)^(1/2)*arctan(b*x/(a*b)^(1/2))","A"
91,1,17,16,0.002000," ","int(1/(x^2-x+2),x)","\frac{2 \sqrt{7}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{7}}{7}\right)}{7}"," ",0,"2/7*7^(1/2)*arctan(1/7*(2*x-1)*7^(1/2))","A"
92,1,16,15,0.003000," ","int(x*arctan(x),x)","\frac{x^{2} \arctan \left(x \right)}{2}-\frac{x}{2}+\frac{\arctan \left(x \right)}{2}"," ",0,"-1/2*x+1/2*arctan(x)+1/2*x^2*arctan(x)","A"
93,1,34,30,0.007000," ","int(x^2*arccos(x),x)","\frac{x^{3} \arccos \left(x \right)}{3}-\frac{\sqrt{-x^{2}+1}\, x^{2}}{9}-\frac{2 \sqrt{-x^{2}+1}}{9}"," ",0,"1/3*x^3*arccos(x)-1/9*x^2*(-x^2+1)^(1/2)-2/9*(-x^2+1)^(1/2)","A"
94,1,30,29,0.014000," ","int(x*arctan(x)^2,x)","\frac{x^{2} \arctan \left(x \right)^{2}}{2}-x \arctan \left(x \right)+\frac{\arctan \left(x \right)^{2}}{2}+\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"-x*arctan(x)+1/2*arctan(x)^2+1/2*x^2*arctan(x)^2+1/2*ln(x^2+1)","A"
95,1,17,16,0.003000," ","int(arctan(x^(1/2)),x)","x \arctan \left(\sqrt{x}\right)+\arctan \left(\sqrt{x}\right)-\sqrt{x}"," ",0,"arctan(x^(1/2))+x*arctan(x^(1/2))-x^(1/2)","A"
96,1,7,6,0.005000," ","int(arctan(x^(1/2))/(x+1)/x^(1/2),x)","\arctan \left(\sqrt{x}\right)^{2}"," ",0,"arctan(x^(1/2))^2","A"
97,1,18,17,0.003000," ","int((-x^2+1)^(1/2),x)","\frac{\sqrt{-x^{2}+1}\, x}{2}+\frac{\arcsin \left(x \right)}{2}"," ",0,"1/2*arcsin(x)+1/2*x*(-x^2+1)^(1/2)","A"
98,1,16,17,0.006000," ","int(exp(arctan(x))*x/(x^2+1)^(3/2),x)","\frac{\left(x -1\right) {\mathrm e}^{\arctan \left(x \right)}}{2 \sqrt{x^{2}+1}}"," ",0,"1/2*(x-1)*exp(arctan(x))/(x^2+1)^(1/2)","A"
99,1,16,15,0.004000," ","int(exp(arctan(x))/(x^2+1)^(3/2),x)","\frac{\left(x +1\right) {\mathrm e}^{\arctan \left(x \right)}}{2 \sqrt{x^{2}+1}}"," ",0,"1/2*exp(arctan(x))*(x+1)/(x^2+1)^(1/2)","A"
100,1,16,15,0.008000," ","int(x^2/(x^2+1)^2,x)","-\frac{x}{2 \left(x^{2}+1\right)}+\frac{\arctan \left(x \right)}{2}"," ",0,"-1/2*x/(x^2+1)+1/2*arctan(x)","A"
101,1,4,3,0.011000," ","int(exp(x)/(1+exp(2*x)),x)","\arctan \left({\mathrm e}^{x}\right)"," ",0,"arctan(exp(x))","A"
102,1,25,22,0.009000," ","int(arccot(exp(x))/exp(x),x)","-\mathrm{arccot}\left({\mathrm e}^{x}\right) {\mathrm e}^{-x}+\frac{\ln \left({\mathrm e}^{2 x}+1\right)}{2}-\ln \left({\mathrm e}^{x}\right)"," ",0,"-arccot(exp(x))/exp(x)+1/2*ln(exp(x)^2+1)-ln(exp(x))","A"
103,1,64,38,0.022000," ","int(((a+x)/(a-x))^(1/2),x)","-\frac{\sqrt{-\frac{a +x}{-a +x}}\, \left(-a +x \right) \left(a \arctan \left(\frac{x}{\sqrt{a^{2}-x^{2}}}\right)-\sqrt{a^{2}-x^{2}}\right)}{\sqrt{-\left(a +x \right) \left(-a +x \right)}}"," ",0,"-(-(a+x)/(-a+x))^(1/2)*(-a+x)*(a*arctan(1/(a^2-x^2)^(1/2)*x)-(a^2-x^2)^(1/2))/(-(a+x)*(-a+x))^(1/2)","A"
104,1,122,61,0.017000," ","int(((b-x)*(-a+x))^(1/2),x)","\frac{a^{2} \arctan \left(\frac{-\frac{a}{2}-\frac{b}{2}+x}{\sqrt{-a b -x^{2}+\left(a +b \right) x}}\right)}{8}-\frac{a b \arctan \left(\frac{-\frac{a}{2}-\frac{b}{2}+x}{\sqrt{-a b -x^{2}+\left(a +b \right) x}}\right)}{4}+\frac{b^{2} \arctan \left(\frac{-\frac{a}{2}-\frac{b}{2}+x}{\sqrt{-a b -x^{2}+\left(a +b \right) x}}\right)}{8}-\frac{\left(a +b -2 x \right) \sqrt{-a b -x^{2}+\left(a +b \right) x}}{4}"," ",0,"-1/4*(a+b-2*x)*(-a*b+(a+b)*x-x^2)^(1/2)-1/4*arctan((x-1/2*b-1/2*a)/(-a*b+(a+b)*x-x^2)^(1/2))*a*b+1/8*arctan((x-1/2*b-1/2*a)/(-a*b+(a+b)*x-x^2)^(1/2))*a^2+1/8*arctan((x-1/2*b-1/2*a)/(-a*b+(a+b)*x-x^2)^(1/2))*b^2","A"
105,1,28,28,0.004000," ","int(1/((b-x)*(-a+x))^(1/2),x)","\arctan \left(\frac{-\frac{a}{2}-\frac{b}{2}+x}{\sqrt{-a b -x^{2}+\left(a +b \right) x}}\right)"," ",0,"arctan((-1/2*a-1/2*b+x)/(-a*b-x^2+(a+b)*x)^(1/2))","A"
106,1,14,15,0.006000," ","int((3+5*x)/(x^2+2*x-3),x)","2 \ln \left(x -1\right)+3 \ln \left(x +3\right)"," ",0,"3*ln(3+x)+2*ln(x-1)","A"
107,1,14,15,0.007000," ","int((5+2*x)/(x^2+2*x-3),x)","\frac{7 \ln \left(x -1\right)}{4}+\frac{\ln \left(x +3\right)}{4}"," ",0,"1/4*ln(x+3)+7/4*ln(x-1)","A"
108,1,20,21,0.007000," ","int((x^3+3*x)/(x^2-2*x-3),x)","\frac{x^{2}}{2}+2 x +9 \ln \left(x -3\right)+\ln \left(x +1\right)"," ",0,"1/2*x^2+2*x+9*ln(-3+x)+ln(x+1)","A"
109,1,18,19,0.010000," ","int((2*x^2+5*x-1)/(x^3+x^2-2*x),x)","\frac{\ln \left(x \right)}{2}+2 \ln \left(x -1\right)-\frac{\ln \left(x +2\right)}{2}"," ",0,"-1/2*ln(2+x)+2*ln(x-1)+1/2*ln(x)","A"
110,1,19,20,0.010000," ","int((x^2+2*x+3)/(x-1)/(x+1)^2,x)","\frac{3 \ln \left(x -1\right)}{2}-\frac{\ln \left(x +1\right)}{2}+\frac{1}{x +1}"," ",0,"1/(x+1)-1/2*ln(x+1)+3/2*ln(x-1)","A"
111,1,29,25,0.009000," ","int((3*x^2+2*x-2)/(x^3-1),x)","\frac{4 \sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}+\ln \left(x -1\right)+\ln \left(x^{2}+x +1\right)"," ",0,"ln(x-1)+ln(x^2+x+1)+4/3*arctan(1/3*(2*x+1)*3^(1/2))*3^(1/2)","A"
112,1,37,38,0.013000," ","int((x^4-x^3+2*x^2-x+2)/(x-1)/(x^2+2)^2,x)","-\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{2}\right)}{6}+\frac{\ln \left(x -1\right)}{3}+\frac{\ln \left(x^{2}+2\right)}{3}+\frac{1}{2 x^{2}+4}"," ",0,"1/2/(x^2+2)+1/3*ln(x^2+2)-1/6*arctan(1/2*x*2^(1/2))*2^(1/2)+1/3*ln(x-1)","A"
113,1,19,18,0.046000," ","int(1/(cos(x)+sin(x)),x)","\sqrt{2}\, \arctanh \left(\frac{\left(2 \tan \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)"," ",0,"2^(1/2)*arctanh(1/4*(2*tan(1/2*x)-2)*2^(1/2))","A"
114,1,266,14,0.105000," ","int(x/(4-x^2+(-x^2+4)^(1/2)),x)","\frac{\arctanh \left(\frac{2-2 \sqrt{3}\, \left(x -\sqrt{3}\right)}{2 \sqrt{-\left(x -\sqrt{3}\right)^{2}-2 \sqrt{3}\, \left(x -\sqrt{3}\right)+1}}\right)}{2 \left(2+\sqrt{3}\right) \left(-2+\sqrt{3}\right)}+\frac{\arctanh \left(\frac{2+2 \sqrt{3}\, \left(x +\sqrt{3}\right)}{2 \sqrt{-\left(x +\sqrt{3}\right)^{2}+2 \sqrt{3}\, \left(x +\sqrt{3}\right)+1}}\right)}{2 \left(2+\sqrt{3}\right) \left(-2+\sqrt{3}\right)}-\frac{\ln \left(x^{2}-3\right)}{2}+\frac{\sqrt{-4 x -\left(x -2\right)^{2}+8}}{2 \left(2+\sqrt{3}\right) \left(-2+\sqrt{3}\right)}-\frac{\sqrt{-\left(x +\sqrt{3}\right)^{2}+2 \sqrt{3}\, \left(x +\sqrt{3}\right)+1}}{2 \left(2+\sqrt{3}\right) \left(-2+\sqrt{3}\right)}+\frac{\sqrt{4 x -\left(x +2\right)^{2}+8}}{2 \left(2+\sqrt{3}\right) \left(-2+\sqrt{3}\right)}-\frac{\sqrt{-\left(x -\sqrt{3}\right)^{2}-2 \sqrt{3}\, \left(x -\sqrt{3}\right)+1}}{2 \left(2+\sqrt{3}\right) \left(-2+\sqrt{3}\right)}"," ",0,"-1/2*ln(x^2-3)+1/2/(2+3^(1/2))/(-2+3^(1/2))*(-(-2+x)^2-4*x+8)^(1/2)+1/2/(2+3^(1/2))/(-2+3^(1/2))*arctanh(1/2*(2+2*3^(1/2)*(x+3^(1/2)))/(-(x+3^(1/2))^2+2*3^(1/2)*(x+3^(1/2))+1)^(1/2))-1/2/(2+3^(1/2))/(-2+3^(1/2))*(-(x+3^(1/2))^2+2*3^(1/2)*(x+3^(1/2))+1)^(1/2)+1/2/(2+3^(1/2))/(-2+3^(1/2))*(-(x+2)^2+4*x+8)^(1/2)+1/2/(2+3^(1/2))/(-2+3^(1/2))*arctanh(1/2*(2-2*3^(1/2)*(x-3^(1/2)))/(-(x-3^(1/2))^2-2*3^(1/2)*(x-3^(1/2))+1)^(1/2))-1/2/(2+3^(1/2))/(-2+3^(1/2))*(-(x-3^(1/2))^2-2*3^(1/2)*(x-3^(1/2))+1)^(1/2)","B"
115,1,9,11,0.001000," ","int((2*x+3)/(x-2)/(5+x),x)","\ln \left(\left(x -2\right) \left(x +5\right)\right)"," ",0,"ln((x-2)*(5+x))","A"
116,1,20,19,0.009000," ","int(x/(x+1)/(x+2)/(x+3),x)","-\frac{\ln \left(x +1\right)}{2}+2 \ln \left(x +2\right)-\frac{3 \ln \left(x +3\right)}{2}"," ",0,"-1/2*ln(x+1)+2*ln(x+2)-3/2*ln(x+3)","A"
117,1,21,24,0.008000," ","int(x/(x^3-3*x+2),x)","\frac{2 \ln \left(x -1\right)}{9}-\frac{2 \ln \left(x +2\right)}{9}-\frac{1}{3 \left(x -1\right)}"," ",0,"-2/9*ln(x+2)-1/3/(x-1)+2/9*ln(x-1)","A"
118,1,24,25,0.009000," ","int((x^4+2*x-6)/(x^3+x^2-2*x),x)","\frac{x^{2}}{2}-x +3 \ln \left(x \right)-\ln \left(x -1\right)+\ln \left(x +2\right)"," ",0,"1/2*x^2-x+ln(x+2)-ln(x-1)+3*ln(x)","A"
119,1,24,23,0.009000," ","int((8*x^3+7)/(x+1)/(2*x+1)^3,x)","\ln \left(x +1\right)-\frac{3}{\left(2 x +1\right)^{2}}+\frac{3}{2 x +1}"," ",0,"-3/(2*x+1)^2+3/(2*x+1)+ln(x+1)","A"
120,1,15,16,0.006000," ","int((4*x^2+x+1)/(x^3-1),x)","2 \ln \left(x -1\right)+\ln \left(x^{2}+x +1\right)"," ",0,"2*ln(x-1)+ln(x^2+x+1)","A"
121,1,13,12,0.010000," ","int(x^4/(x^4+5*x^2+4),x)","x +\frac{\arctan \left(x \right)}{3}-\frac{8 \arctan \left(\frac{x}{2}\right)}{3}"," ",0,"x-8/3*arctan(1/2*x)+1/3*arctan(x)","A"
122,1,12,11,0.006000," ","int((x+2)/(x^2+x),x)","2 \ln \left(x \right)-\ln \left(x +1\right)"," ",0,"2*ln(x)-ln(x+1)","A"
123,1,21,20,0.013000," ","int(1/x/(x^2+1)^2,x)","\ln \left(x \right)-\frac{\ln \left(x^{2}+1\right)}{2}+\frac{1}{2 x^{2}+2}"," ",0,"1/2/(x^2+1)+ln(x)-1/2*ln(x^2+1)","A"
124,1,39,38,0.012000," ","int(1/(x+1)/(x+2)^2/(x+3)^3,x)","\frac{\ln \left(x +1\right)}{8}+2 \ln \left(x +2\right)-\frac{17 \ln \left(x +3\right)}{8}+\frac{1}{x +2}+\frac{1}{4 \left(x +3\right)^{2}}+\frac{5}{4 \left(x +3\right)}"," ",0,"1/(x+2)+1/4/(x+3)^2+5/4/(x+3)+1/8*ln(x+1)+2*ln(x+2)-17/8*ln(x+3)","A"
125,1,11,10,0.007000," ","int(x/(x+1)^2,x)","\ln \left(x +1\right)+\frac{1}{x +1}"," ",0,"1/(x+1)+ln(x+1)","A"
126,1,18,15,0.009000," ","int(1/(x^3-x),x)","-\ln \left(x \right)+\frac{\ln \left(x -1\right)}{2}+\frac{\ln \left(x +1\right)}{2}"," ",0,"1/2*ln(x+1)+1/2*ln(x-1)-ln(x)","A"
127,1,15,16,0.007000," ","int(x^2/(x^2+x-6),x)","x +\frac{4 \ln \left(x -2\right)}{5}-\frac{9 \ln \left(x +3\right)}{5}"," ",0,"x-9/5*ln(x+3)+4/5*ln(x-2)","A"
128,1,13,16,0.005000," ","int((x+2)/(x^2-4*x+4),x)","\ln \left(x -2\right)-\frac{4}{x -2}"," ",0,"ln(x-2)-4/(x-2)","A"
129,1,15,14,0.008000," ","int(1/(x^2-4*x+4)/(x^2-4*x+5),x)","-\arctan \left(x -2\right)-\frac{1}{x -2}"," ",0,"-arctan(x-2)-1/(x-2)","A"
130,1,18,17,0.007000," ","int((x-3)/(x^3+3*x^2+2*x),x)","-\frac{3 \ln \left(x \right)}{2}+4 \ln \left(x +1\right)-\frac{5 \ln \left(x +2\right)}{2}"," ",0,"-3/2*ln(x)+4*ln(x+1)-5/2*ln(x+2)","A"
131,1,28,17,0.009000," ","int(1/(x^2-1)^2,x)","-\frac{\ln \left(x -1\right)}{4}+\frac{\ln \left(x +1\right)}{4}-\frac{1}{4 \left(x +1\right)}-\frac{1}{4 \left(x -1\right)}"," ",0,"-1/4/(x+1)+1/4*ln(x+1)-1/4/(x-1)-1/4*ln(x-1)","A"
132,1,17,18,0.005000," ","int((x+1)/(x^3-1),x)","\frac{2 \ln \left(x -1\right)}{3}-\frac{\ln \left(x^{2}+x +1\right)}{3}"," ",0,"2/3*ln(x-1)-1/3*ln(x^2+x+1)","A"
133,1,11,10,0.008000," ","int((x^4+1)/x/(x^2+1)^2,x)","\ln \left(x \right)+\frac{1}{x^{2}+1}"," ",0,"1/(x^2+1)+ln(x)","A"
134,1,22,23,0.009000," ","int(1/(x^4-2*x^3),x)","-\frac{\ln \left(x \right)}{8}+\frac{\ln \left(x -2\right)}{8}+\frac{1}{4 x}+\frac{1}{4 x^{2}}"," ",0,"1/8*ln(x-2)+1/4/x^2+1/4/x-1/8*ln(x)","A"
135,1,17,16,0.006000," ","int((-x^3+1)/x/(x^2+1),x)","-x +\arctan \left(x \right)+\ln \left(x \right)-\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"-x+arctan(x)+ln(x)-1/2*ln(x^2+1)","A"
136,1,10,9,0.002000," ","int(1/(x^4-1),x)","-\frac{\arctanh \left(x \right)}{2}-\frac{\arctan \left(x \right)}{2}"," ",0,"-1/2*arctan(x)-1/2*arctanh(x)","A"
137,1,58,60,0.003000," ","int(1/(x^4+1),x)","\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{4}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{4}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}+\sqrt{2}\, x +1}{x^{2}-\sqrt{2}\, x +1}\right)}{8}"," ",0,"1/4*arctan(-1+2^(1/2)*x)*2^(1/2)+1/8*2^(1/2)*ln((1+x^2+2^(1/2)*x)/(1+x^2-2^(1/2)*x))+1/4*arctan(1+2^(1/2)*x)*2^(1/2)","A"
138,1,16,21,0.006000," ","int(x^2/(x^2+2*x+2)^2,x)","\arctan \left(x +1\right)+\frac{1}{x^{2}+2 x +2}"," ",0,"1/(x^2+2*x+2)+arctan(x+1)","A"
139,1,41,11,0.010000," ","int((4*x^5-1)/(x^5+x+1)^2,x)","-\frac{-3 x^{2}+5 x -1}{7 \left(x^{3}-x^{2}+1\right)}+\frac{-3 x -1}{7 x^{2}+7 x +7}"," ",0,"-1/7*(-3*x^2+5*x-1)/(x^3-x^2+1)+1/7*(-3*x-1)/(x^2+x+1)","B"
140,1,20,38,0.060000," ","int(1/(5-cos(x)+2*sin(x)),x)","\frac{\sqrt{5}\, \arctan \left(\frac{\left(6 \tan \left(\frac{x}{2}\right)+2\right) \sqrt{5}}{10}\right)}{5}"," ",0,"1/5*5^(1/2)*arctan(1/10*(6*tan(1/2*x)+2)*5^(1/2))","A"
141,1,30,29,0.025000," ","int(1/(1+a*cos(x)),x)","\frac{2 \arctanh \left(\frac{\left(a -1\right) \tan \left(\frac{x}{2}\right)}{\sqrt{\left(a +1\right) \left(a -1\right)}}\right)}{\sqrt{\left(a +1\right) \left(a -1\right)}}"," ",0,"2/((1+a)*(a-1))^(1/2)*arctanh((a-1)*tan(1/2*x)/((1+a)*(a-1))^(1/2))","A"
142,1,16,41,0.017000," ","int(1/(1+2*cos(x)),x)","\frac{2 \sqrt{3}\, \arctanh \left(\frac{\sqrt{3}\, \tan \left(\frac{x}{2}\right)}{3}\right)}{3}"," ",0,"2/3*3^(1/2)*arctanh(1/3*3^(1/2)*tan(1/2*x))","A"
143,1,16,25,0.028000," ","int(1/(1+1/2*cos(x)),x)","\frac{4 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \tan \left(\frac{x}{2}\right)}{3}\right)}{3}"," ",0,"4/3*3^(1/2)*arctan(1/3*3^(1/2)*tan(1/2*x))","A"
144,1,15,30,0.037000," ","int(sin(x)^2/(1+sin(x)^2),x)","x -\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \tan \left(x \right)\right)}{2}"," ",0,"-1/2*2^(1/2)*arctan(tan(x)*2^(1/2))+x","A"
145,1,16,15,0.069000," ","int(1/(b^2*cos(x)^2+a^2*sin(x)^2),x)","\frac{\arctan \left(\frac{a \tan \left(x \right)}{b}\right)}{a b}"," ",0,"arctan(a*tan(x)/b)/a/b","A"
146,1,14,17,0.154000," ","int(1/(b*cos(x)+a*sin(x))^2,x)","-\frac{1}{\left(a \tan \left(x \right)+b \right) a}"," ",0,"-1/a/(a*tan(x)+b)","A"
147,1,25,22,0.075000," ","int(sin(x)/(1+cos(x)+sin(x)),x)","\frac{x}{2}-\ln \left(\tan \left(\frac{x}{2}\right)+1\right)+\frac{\ln \left(\tan^{2}\left(\frac{x}{2}\right)+1\right)}{2}"," ",0,"-ln(1+tan(1/2*x))+1/2*ln(tan(1/2*x)^2+1)+1/2*x","A"
148,1,23,22,0.003000," ","int((-x^2+3)^(1/2),x)","\frac{\sqrt{-x^{2}+3}\, x}{2}+\frac{3 \arcsin \left(\frac{\sqrt{3}\, x}{3}\right)}{2}"," ",0,"3/2*arcsin(1/3*x*3^(1/2))+1/2*x*(-x^2+3)^(1/2)","A"
149,1,12,11,0.004000," ","int(x/(-x^2+3)^(1/2),x)","-\sqrt{-x^{2}+3}"," ",0,"-(-x^2+3)^(1/2)","A"
150,1,30,30,0.005000," ","int((-x^2+3)^(1/2)/x,x)","-\sqrt{3}\, \arctanh \left(\frac{\sqrt{3}}{\sqrt{-x^{2}+3}}\right)+\sqrt{-x^{2}+3}"," ",0,"(-x^2+3)^(1/2)-3^(1/2)*arctanh(3^(1/2)/(-x^2+3)^(1/2))","A"
151,1,22,18,0.006000," ","int((x^2+x)^(1/2)/x,x)","\frac{\ln \left(x +\frac{1}{2}+\sqrt{x^{2}+x}\right)}{2}+\sqrt{x^{2}+x}"," ",0,"(x^2+x)^(1/2)+1/2*ln(1/2+x+(x^2+x)^(1/2))","A"
152,1,21,20,0.005000," ","int((x^2+5)^(1/2),x)","\frac{\sqrt{x^{2}+5}\, x}{2}+\frac{5 \arcsinh \left(\frac{\sqrt{5}\, x}{5}\right)}{2}"," ",0,"5/2*arcsinh(1/5*x*5^(1/2))+1/2*x*(x^2+5)^(1/2)","A"
153,1,21,22,0.006000," ","int(x/(x^2+x+1)^(1/2),x)","-\frac{\arcsinh \left(\frac{2 \sqrt{3}\, \left(x +\frac{1}{2}\right)}{3}\right)}{2}+\sqrt{x^{2}+x +1}"," ",0,"(x^2+x+1)^(1/2)-1/2*arcsinh(2/3*3^(1/2)*(x+1/2))","A"
154,1,12,12,0.003000," ","int(1/(x^2+x)^(1/2),x)","\ln \left(x +\frac{1}{2}+\sqrt{x^{2}+x}\right)"," ",0,"ln(x+1/2+(x^2+x)^(1/2))","A"
155,1,88,54,0.009000," ","int((-x^2-x+2)^(1/2)/x^2,x)","\frac{\sqrt{2}\, \arctanh \left(\frac{\left(-x +4\right) \sqrt{2}}{4 \sqrt{-x^{2}-x +2}}\right)}{4}-\arcsin \left(\frac{2 x}{3}+\frac{1}{3}\right)-\frac{\left(-x^{2}-x +2\right)^{\frac{3}{2}}}{2 x}-\frac{\sqrt{-x^{2}-x +2}}{4}+\frac{\left(-2 x -1\right) \sqrt{-x^{2}-x +2}}{4}"," ",0,"-1/2/x*(-x^2-x+2)^(3/2)-1/4*(-x^2-x+2)^(1/2)-arcsin(1/3+2/3*x)+1/4*arctanh(1/4*(4-x)*2^(1/2)/(-x^2-x+2)^(1/2))*2^(1/2)+1/4*(-2*x-1)*(-x^2-x+2)^(1/2)","A"
156,1,13,13,0.004000," ","int(ln(t)/(t+1),t)","\ln \left(t \right) \ln \left(t +1\right)+\dilog \left(t +1\right)"," ",0,"dilog(t+1)+ln(t)*ln(t+1)","A"
157,1,15,14,0.023000," ","int(ln(exp(cos(x))),x)","-x \cos \left(x \right)+x \ln \left({\mathrm e}^{\cos \left(x \right)}\right)+\sin \left(x \right)"," ",0,"-x*cos(x)+x*ln(exp(cos(x)))+sin(x)","A"
158,1,8,2,0.006000," ","int(exp(t)/t,t)","-\Ei \left(1, -t \right)"," ",0,"-Ei(1,-t)","B"
159,1,9,4,0.003000," ","int(exp(a*t)/t,t)","-\Ei \left(1, -a t \right)"," ",0,"-Ei(1,-a*t)","A"
160,1,16,10,0.005000," ","int(exp(t)/t^2,t)","-\Ei \left(1, -t \right)-\frac{{\mathrm e}^{t}}{t}"," ",0,"-exp(t)/t-Ei(1,-t)","A"
161,1,15,13,0.003000," ","int(exp(1/t),t)","t \,{\mathrm e}^{\frac{1}{t}}+\Ei \left(1, -\frac{1}{t}\right)"," ",0,"exp(1/t)*t+Ei(1,-1/t)","A"
162,1,17,14,0.010000," ","int(1/exp(t)/(-1-a+t),t)","-\Ei \left(1, -a +t -1\right) {\mathrm e}^{-a -1}"," ",0,"-exp(-1-a)*Ei(1,-1-a+t)","A"
163,1,14,11,0.009000," ","int(exp(t^2)*t/(t^2+1),t)","-\frac{{\mathrm e}^{-1} \Ei \left(1, -t^{2}-1\right)}{2}"," ",0,"-1/2*exp(-1)*Ei(1,-t^2-1)","A"
164,1,22,18,0.007000," ","int(exp(t)/(t+1)^2,t)","-{\mathrm e}^{-1} \Ei \left(1, -t -1\right)-\frac{{\mathrm e}^{t}}{t +1}"," ",0,"-exp(t)/(t+1)-exp(-1)*Ei(1,-t-1)","A"
165,1,19,17,0.043000," ","int(exp(t)*ln(t+1),t)","{\mathrm e}^{t} \ln \left(t +1\right)+{\mathrm e}^{-1} \Ei \left(1, -t -1\right)"," ",0,"exp(t)*ln(t+1)+exp(-1)*Ei(1,-t-1)","A"
166,1,10,14,0.002000," ","int(t/exp(t),t)","-\left(t +1\right) {\mathrm e}^{-t}"," ",0,"-(t+1)/exp(t)","A"
167,1,15,23,0.002000," ","int(t^2/exp(t),t)","-\left(t^{2}+2 t +2\right) {\mathrm e}^{-t}"," ",0,"-(t^2+2*t+2)/exp(t)","A"
168,1,20,32,0.003000," ","int(t^3/exp(t),t)","-\left(t^{3}+3 t^{2}+6 t +6\right) {\mathrm e}^{-t}"," ",0,"-(t^3+3*t^2+6*t+6)/exp(t)","A"
169,1,111,48,0.130000," ","int((b1*cos(x)+a1*sin(x))/(b*cos(x)+a*sin(x)),x)","\frac{a \mathit{a1} \arctan \left(\tan \left(x \right)\right)}{a^{2}+b^{2}}-\frac{a \mathit{b1} \ln \left(\tan^{2}\left(x \right)+1\right)}{2 \left(a^{2}+b^{2}\right)}+\frac{a \mathit{b1} \ln \left(a \tan \left(x \right)+b \right)}{a^{2}+b^{2}}+\frac{\mathit{a1} b \ln \left(\tan^{2}\left(x \right)+1\right)}{2 a^{2}+2 b^{2}}-\frac{\mathit{a1} b \ln \left(a \tan \left(x \right)+b \right)}{a^{2}+b^{2}}+\frac{b \mathit{b1} \arctan \left(\tan \left(x \right)\right)}{a^{2}+b^{2}}"," ",0,"1/(a^2+b^2)*ln(a*tan(x)+b)*a*b1-1/(a^2+b^2)*ln(a*tan(x)+b)*a1*b-1/2/(a^2+b^2)*ln(tan(x)^2+1)*a*b1+1/2/(a^2+b^2)*ln(tan(x)^2+1)*a1*b+1/(a^2+b^2)*arctan(tan(x))*a*a1+1/(a^2+b^2)*arctan(tan(x))*b*b1","B"
170,1,9,2,0.007000," ","int(1/ln(t),t)","-\Ei \left(1, -\ln \left(t \right)\right)"," ",0,"-Ei(1,-ln(t))","B"
171,1,17,10,0.001000," ","int(1/ln(t)^2,t)","-\Ei \left(1, -\ln \left(t \right)\right)-\frac{t}{\ln \left(t \right)}"," ",0,"-t/ln(t)-Ei(1,-ln(t))","A"
172,0,0,22,0.040000," ","int(ln(t)^(-1-n),t)","\int \ln \left(t \right)^{-n -1}\, dt"," ",0,"int(ln(t)^(-1-n),t)","F"
173,1,12,9,0.006000," ","int(exp(2*t)/(-1+t),t)","-{\mathrm e}^{2} \Ei \left(1, -2 t +2\right)"," ",0,"-exp(2)*Ei(1,-2*t+2)","A"
174,1,23,20,0.013000," ","int(exp(2*x)/(x^2-3*x+2),x)","-{\mathrm e}^{4} \Ei \left(1, -2 x +4\right)+{\mathrm e}^{2} \Ei \left(1, -2 x +2\right)"," ",0,"-exp(4)*Ei(1,4-2*x)+exp(2)*Ei(1,-2*x+2)","A"
175,1,116,86,0.133000," ","int(1/(t^3+1)^(1/2),t)","\frac{2 \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{t +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{t -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{t -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticF \left(\sqrt{\frac{t +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{\sqrt{t^{3}+1}}"," ",0,"2*(3/2-1/2*I*3^(1/2))*((t+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((t-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((t-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(t^3+1)^(1/2)*EllipticF(((t+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))","A"