1,1,11,0,0.0023506,"\int x^n \, dx","Int[x^n,x]","\frac{x^{n+1}}{n+1}","\frac{x^{n+1}}{n+1}",1,"x^(1 + n)/(1 + n)","A",1,1,3,0.3333,1,"{30}"
2,1,3,0,0.0009641,"\int e^x \, dx","Int[E^x,x]","e^x","e^x",1,"E^x","A",1,1,3,0.3333,1,"{2194}"
3,1,2,0,0.0001821,"\int \frac{1}{x} \, dx","Int[x^(-1),x]","\log (x)","\log (x)",1,"Log[x]","A",1,1,3,0.3333,1,"{29}"
4,1,8,0,0.002335,"\int a^x \, dx","Int[a^x,x]","\frac{a^x}{\log (a)}","\frac{a^x}{\log (a)}",1,"a^x/Log[a]","A",1,1,3,0.3333,1,"{2194}"
5,1,4,0,0.0022196,"\int \sin (x) \, dx","Int[Sin[x],x]","-\cos (x)","-\cos (x)",1,"-Cos[x]","A",1,1,2,0.5000,1,"{2638}"
6,1,2,0,0.0018374,"\int \cos (x) \, dx","Int[Cos[x],x]","\sin (x)","\sin (x)",1,"Sin[x]","A",1,1,2,0.5000,1,"{2637}"
7,1,2,0,0.0055703,"\int \sec ^2(x) \, dx","Int[Sec[x]^2,x]","\tan (x)","\tan (x)",1,"Tan[x]","A",2,2,4,0.5000,1,"{3767, 8}"
8,1,4,0,0.005372,"\int \csc ^2(x) \, dx","Int[Csc[x]^2,x]","-\cot (x)","-\cot (x)",1,"-Cot[x]","A",2,2,4,0.5000,1,"{3767, 8}"
9,1,2,0,0.0065987,"\int \sec (x) \tan (x) \, dx","Int[Sec[x]*Tan[x],x]","\sec (x)","\sec (x)",1,"Sec[x]","A",2,2,5,0.4000,1,"{2606, 8}"
10,1,4,0,0.0078946,"\int \cot (x) \csc (x) \, dx","Int[Cot[x]*Csc[x],x]","-\csc (x)","-\csc (x)",1,"-Csc[x]","A",2,2,5,0.4000,1,"{2606, 8}"
11,1,2,0,0.003047,"\int \sinh (x) \, dx","Int[Sinh[x],x]","\cosh (x)","\cosh (x)",1,"Cosh[x]","A",1,1,2,0.5000,1,"{2638}"
12,1,2,0,0.0020568,"\int \cosh (x) \, dx","Int[Cosh[x],x]","\sinh (x)","\sinh (x)",1,"Sinh[x]","A",1,1,2,0.5000,1,"{2637}"
13,1,5,0,0.0020498,"\int \tan (x) \, dx","Int[Tan[x],x]","-\log (\cos (x))","-\log (\cos (x))",1,"-Log[Cos[x]]","A",1,1,2,0.5000,1,"{3475}"
14,1,3,0,0.001929,"\int \cot (x) \, dx","Int[Cot[x],x]","\log (\sin (x))","\log (\sin (x))",1,"Log[Sin[x]]","A",1,1,2,0.5000,1,"{3475}"
15,1,8,0,0.0085667,"\int x \sin (x) \, dx","Int[x*Sin[x],x]","\sin (x)-x \cos (x)","\sin (x)-x \cos (x)",1,"-(x*Cos[x]) + Sin[x]","A",2,2,4,0.5000,1,"{3296, 2637}"
16,1,8,0,0.0009977,"\int \log (x) \, dx","Int[Log[x],x]","x \log (x)-x","x \log (x)-x",1,"-x + x*Log[x]","A",1,1,2,0.5000,1,"{2295}"
17,1,19,0,0.0201952,"\int e^x x^2 \, dx","Int[E^x*x^2,x]","e^x x^2-2 e^x x+2 e^x","e^x x^2-2 e^x x+2 e^x",1,"2*E^x - 2*E^x*x + E^x*x^2","A",3,2,7,0.2857,1,"{2176, 2194}"
18,1,19,0,0.0074345,"\int e^x \sin (x) \, dx","Int[E^x*Sin[x],x]","\frac{1}{2} e^x \sin (x)-\frac{1}{2} e^x \cos (x)","\frac{1}{2} e^x \sin (x)-\frac{1}{2} e^x \cos (x)",1,"-(E^x*Cos[x])/2 + (E^x*Sin[x])/2","A",1,1,6,0.1667,1,"{4432}"
19,1,15,0,0.0038938,"\int \tan ^{-1}(x) \, dx","Int[ArcTan[x],x]","x \tan ^{-1}(x)-\frac{1}{2} \log \left(x^2+1\right)","x \tan ^{-1}(x)-\frac{1}{2} \log \left(x^2+1\right)",1,"x*ArcTan[x] - Log[1 + x^2]/2","A",2,2,2,1.000,1,"{4846, 260}"
20,1,20,0,0.0084638,"\int e^{2 x} x \, dx","Int[E^(2*x)*x,x]","\frac{1}{2} e^{2 x} x-\frac{e^{2 x}}{4}","\frac{1}{2} e^{2 x} x-\frac{e^{2 x}}{4}",1,"-E^(2*x)/4 + (E^(2*x)*x)/2","A",2,2,7,0.2857,1,"{2176, 2194}"
21,1,7,0,0.008778,"\int x \cos (x) \, dx","Int[x*Cos[x],x]","x \sin (x)+\cos (x)","x \sin (x)+\cos (x)",1,"Cos[x] + x*Sin[x]","A",2,2,4,0.5000,1,"{3296, 2638}"
22,1,18,0,0.0096751,"\int x \sin (4 x) \, dx","Int[x*Sin[4*x],x]","\frac{1}{16} \sin (4 x)-\frac{1}{4} x \cos (4 x)","\frac{1}{16} \sin (4 x)-\frac{1}{4} x \cos (4 x)",1,"-(x*Cos[4*x])/4 + Sin[4*x]/16","A",2,2,6,0.3333,1,"{3296, 2637}"
23,1,17,0,0.0034969,"\int x \log (x) \, dx","Int[x*Log[x],x]","\frac{1}{2} x^2 \log (x)-\frac{x^2}{4}","\frac{1}{2} x^2 \log (x)-\frac{x^2}{4}",1,"-x^2/4 + (x^2*Log[x])/2","A",1,1,4,0.2500,1,"{2304}"
24,1,29,0,0.025313,"\int x^2 \cos (3 x) \, dx","Int[x^2*Cos[3*x],x]","\frac{1}{3} x^2 \sin (3 x)-\frac{2}{27} \sin (3 x)+\frac{2}{9} x \cos (3 x)","\frac{1}{3} x^2 \sin (3 x)-\frac{2}{27} \sin (3 x)+\frac{2}{9} x \cos (3 x)",1,"(2*x*Cos[3*x])/9 - (2*Sin[3*x])/27 + (x^2*Sin[3*x])/3","A",3,2,8,0.2500,1,"{3296, 2637}"
25,1,29,0,0.0226745,"\int x^2 \sin (2 x) \, dx","Int[x^2*Sin[2*x],x]","-\frac{1}{2} x^2 \cos (2 x)+\frac{1}{2} x \sin (2 x)+\frac{1}{4} \cos (2 x)","-\frac{1}{2} x^2 \cos (2 x)+\frac{1}{2} x \sin (2 x)+\frac{1}{4} \cos (2 x)",1,"Cos[2*x]/4 - (x^2*Cos[2*x])/2 + (x*Sin[2*x])/2","A",3,2,8,0.2500,1,"{3296, 2638}"
26,1,15,0,0.0033866,"\int \log ^2(x) \, dx","Int[Log[x]^2,x]","2 x+x \log ^2(x)-2 x \log (x)","2 x+x \log ^2(x)-2 x \log (x)",1,"2*x - 2*x*Log[x] + x*Log[x]^2","A",2,2,4,0.5000,1,"{2296, 2295}"
27,1,16,0,0.0038397,"\int \sin ^{-1}(x) \, dx","Int[ArcSin[x],x]","\sqrt{1-x^2}+x \sin ^{-1}(x)","\sqrt{1-x^2}+x \sin ^{-1}(x)",1,"Sqrt[1 - x^2] + x*ArcSin[x]","A",2,2,2,1.000,1,"{4619, 261}"
28,1,23,0,0.0127517,"\int t \cos (t) \sin (t) \, dt","Int[t*Cos[t]*Sin[t],t]","-\frac{t}{4}+\frac{1}{2} t \sin ^2(t)+\frac{1}{4} \sin (t) \cos (t)","-\frac{t}{4}+\frac{1}{2} t \sin ^2(t)+\frac{1}{4} \sin (t) \cos (t)",1,"-t/4 + (Cos[t]*Sin[t])/4 + (t*Sin[t]^2)/2","A",3,3,6,0.5000,1,"{3443, 2635, 8}"
29,1,8,0,0.0180556,"\int t \sec ^2(t) \, dt","Int[t*Sec[t]^2,t]","t \tan (t)+\log (\cos (t))","t \tan (t)+\log (\cos (t))",1,"Log[Cos[t]] + t*Tan[t]","A",2,2,6,0.3333,1,"{4184, 3475}"
30,1,17,0,0.0073478,"\int t^2 \log (t) \, dt","Int[t^2*Log[t],t]","\frac{1}{3} t^3 \log (t)-\frac{t^3}{9}","\frac{1}{3} t^3 \log (t)-\frac{t^3}{9}",1,"-t^3/9 + (t^3*Log[t])/3","A",1,1,6,0.1667,1,"{2304}"
31,1,27,0,0.0307144,"\int e^t t^3 \, dt","Int[E^t*t^3,t]","e^t t^3-3 e^t t^2+6 e^t t-6 e^t","e^t t^3-3 e^t t^2+6 e^t t-6 e^t",1,"-6*E^t + 6*E^t*t - 3*E^t*t^2 + E^t*t^3","A",4,2,7,0.2857,1,"{2176, 2194}"
32,1,27,0,0.011464,"\int e^{2 t} \sin (3 t) \, dt","Int[E^(2*t)*Sin[3*t],t]","\frac{2}{13} e^{2 t} \sin (3 t)-\frac{3}{13} e^{2 t} \cos (3 t)","\frac{2}{13} e^{2 t} \sin (3 t)-\frac{3}{13} e^{2 t} \cos (3 t)",1,"(-3*E^(2*t)*Cos[3*t])/13 + (2*E^(2*t)*Sin[3*t])/13","A",1,1,10,0.1000,1,"{4432}"
33,1,27,0,0.0111672,"\int e^{-t} \cos (3 t) \, dt","Int[Cos[3*t]/E^t,t]","\frac{3}{10} e^{-t} \sin (3 t)-\frac{1}{10} e^{-t} \cos (3 t)","\frac{3}{10} e^{-t} \sin (3 t)-\frac{1}{10} e^{-t} \cos (3 t)",1,"-Cos[3*t]/(10*E^t) + (3*Sin[3*t])/(10*E^t)","A",1,1,10,0.1000,1,"{4433}"
34,1,9,0,0.0115834,"\int y \sinh (y) \, dy","Int[y*Sinh[y],y]","y \cosh (y)-\sinh (y)","y \cosh (y)-\sinh (y)",1,"y*Cosh[y] - Sinh[y]","A",2,2,4,0.5000,1,"{3296, 2637}"
35,1,19,0,0.0162827,"\int y \cosh (a y) \, dy","Int[y*Cosh[a*y],y]","\frac{y \sinh (a y)}{a}-\frac{\cosh (a y)}{a^2}","\frac{y \sinh (a y)}{a}-\frac{\cosh (a y)}{a^2}",1,"-(Cosh[a*y]/a^2) + (y*Sinh[a*y])/a","A",2,2,6,0.3333,1,"{3296, 2638}"
36,1,16,0,0.0086793,"\int e^{-t} t \, dt","Int[t/E^t,t]","-e^{-t} t-e^{-t}","-e^{-t} t-e^{-t}",1,"-E^(-t) - t/E^t","A",2,2,7,0.2857,1,"{2176, 2194}"
37,1,21,0,0.0078074,"\int \sqrt{t} \log (t) \, dt","Int[Sqrt[t]*Log[t],t]","\frac{2}{3} t^{3/2} \log (t)-\frac{4 t^{3/2}}{9}","\frac{2}{3} t^{3/2} \log (t)-\frac{4 t^{3/2}}{9}",1,"(-4*t^(3/2))/9 + (2*t^(3/2)*Log[t])/3","A",1,1,8,0.1250,1,"{2304}"
38,1,18,0,0.0122093,"\int x \cos (2 x) \, dx","Int[x*Cos[2*x],x]","\frac{1}{2} x \sin (2 x)+\frac{1}{4} \cos (2 x)","\frac{1}{2} x \sin (2 x)+\frac{1}{4} \cos (2 x)",1,"Cos[2*x]/4 + (x*Sin[2*x])/2","A",2,2,6,0.3333,1,"{3296, 2638}"
39,1,26,0,0.0179771,"\int e^{-x} x^2 \, dx","Int[x^2/E^x,x]","-e^{-x} x^2-2 e^{-x} x-2 e^{-x}","-e^{-x} x^2-2 e^{-x} x-2 e^{-x}",1,"-2/E^x - (2*x)/E^x - x^2/E^x","A",3,2,9,0.2222,1,"{2176, 2194}"
40,1,18,0,0.0041468,"\int \cos ^{-1}(x) \, dx","Int[ArcCos[x],x]","x \cos ^{-1}(x)-\sqrt{1-x^2}","x \cos ^{-1}(x)-\sqrt{1-x^2}",1,"-Sqrt[1 - x^2] + x*ArcCos[x]","A",2,2,2,1.000,1,"{4620, 261}"
41,1,9,0,0.0156671,"\int x \csc ^2(x) \, dx","Int[x*Csc[x]^2,x]","\log (\sin (x))-x \cot (x)","\log (\sin (x))-x \cot (x)",1,"-(x*Cot[x]) + Log[Sin[x]]","A",2,2,6,0.3333,1,"{4184, 3475}"
42,1,17,0,0.0085067,"\int \cos (5 x) \sin (3 x) \, dx","Int[Cos[5*x]*Sin[3*x],x]","\frac{1}{4} \cos (2 x)-\frac{1}{16} \cos (8 x)","\frac{1}{4} \cos (2 x)-\frac{1}{16} \cos (8 x)",1,"Cos[2*x]/4 - Cos[8*x]/16","A",1,1,9,0.1111,1,"{4284}"
43,1,17,0,0.0080002,"\int \sin (2 x) \sin (4 x) \, dx","Int[Sin[2*x]*Sin[4*x],x]","\frac{1}{4} \sin (2 x)-\frac{1}{12} \sin (6 x)","\frac{1}{4} \sin (2 x)-\frac{1}{12} \sin (6 x)",1,"Sin[2*x]/4 - Sin[6*x]/12","A",1,1,9,0.1111,1,"{4282}"
44,1,11,0,0.0098451,"\int \cos (x) \log (\sin (x)) \, dx","Int[Cos[x]*Log[Sin[x]],x]","\sin (x) \log (\sin (x))-\sin (x)","\sin (x) \log (\sin (x))-\sin (x)",1,"-Sin[x] + Log[Sin[x]]*Sin[x]","A",2,2,6,0.3333,1,"{2637, 2554}"
45,1,22,0,0.019292,"\int e^{x^2} x^3 \, dx","Int[E^x^2*x^3,x]","\frac{1}{2} e^{x^2} x^2-\frac{e^{x^2}}{2}","\frac{1}{2} e^{x^2} x^2-\frac{e^{x^2}}{2}",1,"-E^x^2/2 + (E^x^2*x^2)/2","A",2,2,9,0.2222,1,"{2212, 2209}"
46,1,15,0,0.0083929,"\int e^x (3+2 x) \, dx","Int[E^x*(3 + 2*x),x]","e^x (2 x+3)-2 e^x","e^x (2 x+3)-2 e^x",1,"-2*E^x + E^x*(3 + 2*x)","A",2,2,9,0.2222,1,"{2176, 2194}"
47,1,19,0,0.0085244,"\int 5^x x \, dx","Int[5^x*x,x]","\frac{5^x x}{\log (5)}-\frac{5^x}{\log ^2(5)}","\frac{5^x x}{\log (5)}-\frac{5^x}{\log ^2(5)}",1,"-(5^x/Log[5]^2) + (5^x*x)/Log[5]","A",2,2,5,0.4000,1,"{2176, 2194}"
48,1,17,0,0.0029784,"\int \cos (\log (x)) \, dx","Int[Cos[Log[x]],x]","\frac{1}{2} x \sin (\log (x))+\frac{1}{2} x \cos (\log (x))","\frac{1}{2} x \sin (\log (x))+\frac{1}{2} x \cos (\log (x))",1,"(x*Cos[Log[x]])/2 + (x*Sin[Log[x]])/2","A",1,1,3,0.3333,1,"{4476}"
49,1,24,0,0.0077433,"\int e^{\sqrt{x}} \, dx","Int[E^Sqrt[x],x]","2 e^{\sqrt{x}} \sqrt{x}-2 e^{\sqrt{x}}","2 e^{\sqrt{x}} \sqrt{x}-2 e^{\sqrt{x}}",1,"-2*E^Sqrt[x] + 2*E^Sqrt[x]*Sqrt[x]","A",3,3,7,0.4286,1,"{2207, 2176, 2194}"
50,1,14,0,0.0011754,"\int \log \left(\sqrt{x}\right) \, dx","Int[Log[Sqrt[x]],x]","x \log \left(\sqrt{x}\right)-\frac{x}{2}","x \log \left(\sqrt{x}\right)-\frac{x}{2}",1,"-x/2 + x*Log[Sqrt[x]]","A",1,1,6,0.1667,1,"{2295}"
51,1,17,0,0.0030924,"\int \sin (\log (x)) \, dx","Int[Sin[Log[x]],x]","\frac{1}{2} x \sin (\log (x))-\frac{1}{2} x \cos (\log (x))","\frac{1}{2} x \sin (\log (x))-\frac{1}{2} x \cos (\log (x))",1,"-(x*Cos[Log[x]])/2 + (x*Sin[Log[x]])/2","A",1,1,3,0.3333,1,"{4475}"
52,1,22,0,0.0108838,"\int \sin \left(\sqrt{x}\right) \, dx","Int[Sin[Sqrt[x]],x]","2 \sin \left(\sqrt{x}\right)-2 \sqrt{x} \cos \left(\sqrt{x}\right)","2 \sin \left(\sqrt{x}\right)-2 \sqrt{x} \cos \left(\sqrt{x}\right)",1,"-2*Sqrt[x]*Cos[Sqrt[x]] + 2*Sin[Sqrt[x]]","A",3,3,6,0.5000,1,"{3361, 3296, 2637}"
53,1,20,0,0.0160509,"\int x^5 \cos \left(x^3\right) \, dx","Int[x^5*Cos[x^3],x]","\frac{1}{3} x^3 \sin \left(x^3\right)+\frac{\cos \left(x^3\right)}{3}","\frac{1}{3} x^3 \sin \left(x^3\right)+\frac{\cos \left(x^3\right)}{3}",1,"Cos[x^3]/3 + (x^3*Sin[x^3])/3","A",3,3,8,0.3750,1,"{3380, 3296, 2638}"
54,1,28,0,0.0337833,"\int e^{x^2} x^5 \, dx","Int[E^x^2*x^5,x]","\frac{1}{2} e^{x^2} x^4-e^{x^2} x^2+e^{x^2}","\frac{1}{2} e^{x^2} x^4-e^{x^2} x^2+e^{x^2}",1,"E^x^2 - E^x^2*x^2 + (E^x^2*x^4)/2","A",3,2,9,0.2222,1,"{2212, 2209}"
55,1,21,0,0.0085168,"\int x \tan ^{-1}(x) \, dx","Int[x*ArcTan[x],x]","\frac{1}{2} x^2 \tan ^{-1}(x)-\frac{x}{2}+\frac{1}{2} \tan ^{-1}(x)","\frac{1}{2} x^2 \tan ^{-1}(x)-\frac{x}{2}+\frac{1}{2} \tan ^{-1}(x)",1,"-x/2 + ArcTan[x]/2 + (x^2*ArcTan[x])/2","A",3,3,4,0.7500,1,"{4852, 321, 203}"
56,1,18,0,0.0125108,"\int x \cos (\pi  x) \, dx","Int[x*Cos[Pi*x],x]","\frac{x \sin (\pi  x)}{\pi }+\frac{\cos (\pi  x)}{\pi ^2}","\frac{x \sin (\pi  x)}{\pi }+\frac{\cos (\pi  x)}{\pi ^2}",1,"Cos[Pi*x]/Pi^2 + (x*Sin[Pi*x])/Pi","A",2,2,6,0.3333,1,"{3296, 2638}"
57,1,21,0,0.0058836,"\int \sqrt{x} \log (x) \, dx","Int[Sqrt[x]*Log[x],x]","\frac{2}{3} x^{3/2} \log (x)-\frac{4 x^{3/2}}{9}","\frac{2}{3} x^{3/2} \log (x)-\frac{4 x^{3/2}}{9}",1,"(-4*x^(3/2))/9 + (2*x^(3/2)*Log[x])/3","A",1,1,8,0.1250,1,"{2304}"
58,1,18,0,0.0060824,"\int \sin ^2(3 x) \, dx","Int[Sin[3*x]^2,x]","\frac{x}{2}-\frac{1}{6} \sin (3 x) \cos (3 x)","\frac{x}{2}-\frac{1}{6} \sin (3 x) \cos (3 x)",1,"x/2 - (Cos[3*x]*Sin[3*x])/6","A",2,2,6,0.3333,1,"{2635, 8}"
59,1,14,0,0.0055584,"\int \cos ^2(x) \, dx","Int[Cos[x]^2,x]","\frac{x}{2}+\frac{1}{2} \sin (x) \cos (x)","\frac{x}{2}+\frac{1}{2} \sin (x) \cos (x)",1,"x/2 + (Cos[x]*Sin[x])/2","A",2,2,4,0.5000,1,"{2635, 8}"
60,1,24,0,0.0129631,"\int \cos ^4(x) \, dx","Int[Cos[x]^4,x]","\frac{3 x}{8}+\frac{1}{4} \sin (x) \cos ^3(x)+\frac{3}{8} \sin (x) \cos (x)","\frac{3 x}{8}+\frac{1}{4} \sin (x) \cos ^3(x)+\frac{3}{8} \sin (x) \cos (x)",1,"(3*x)/8 + (3*Cos[x]*Sin[x])/8 + (Cos[x]^3*Sin[x])/4","A",3,2,4,0.5000,1,"{2635, 8}"
61,1,13,0,0.0054989,"\int \sin ^3(x) \, dx","Int[Sin[x]^3,x]","\frac{\cos ^3(x)}{3}-\cos (x)","\frac{\cos ^3(x)}{3}-\cos (x)",1,"-Cos[x] + Cos[x]^3/3","A",2,1,4,0.2500,1,"{2633}"
62,1,17,0,0.022827,"\int \cos ^4(x) \sin ^3(x) \, dx","Int[Cos[x]^4*Sin[x]^3,x]","\frac{\cos ^7(x)}{7}-\frac{\cos ^5(x)}{5}","\frac{\cos ^7(x)}{7}-\frac{\cos ^5(x)}{5}",1,"-Cos[x]^5/5 + Cos[x]^7/7","A",3,2,9,0.2222,1,"{2565, 14}"
63,1,17,0,0.0222875,"\int \cos ^3(x) \sin ^4(x) \, dx","Int[Cos[x]^3*Sin[x]^4,x]","\frac{\sin ^5(x)}{5}-\frac{\sin ^7(x)}{7}","\frac{\sin ^5(x)}{5}-\frac{\sin ^7(x)}{7}",1,"Sin[x]^5/5 - Sin[x]^7/7","A",3,2,9,0.2222,1,"{2564, 14}"
64,1,36,0,0.0448538,"\int \cos ^2(x) \sin ^4(x) \, dx","Int[Cos[x]^2*Sin[x]^4,x]","\frac{x}{16}-\frac{1}{6} \sin ^3(x) \cos ^3(x)-\frac{1}{8} \sin (x) \cos ^3(x)+\frac{1}{16} \sin (x) \cos (x)","\frac{x}{16}-\frac{1}{6} \sin ^3(x) \cos ^3(x)-\frac{1}{8} \sin (x) \cos ^3(x)+\frac{1}{16} \sin (x) \cos (x)",1,"x/16 + (Cos[x]*Sin[x])/16 - (Cos[x]^3*Sin[x])/8 - (Cos[x]^3*Sin[x]^3)/6","A",4,3,9,0.3333,1,"{2568, 2635, 8}"
65,1,24,0,0.0248675,"\int \cos ^2(x) \sin ^2(x) \, dx","Int[Cos[x]^2*Sin[x]^2,x]","\frac{x}{8}-\frac{1}{4} \sin (x) \cos ^3(x)+\frac{1}{8} \sin (x) \cos (x)","\frac{x}{8}-\frac{1}{4} \sin (x) \cos ^3(x)+\frac{1}{8} \sin (x) \cos (x)",1,"x/8 + (Cos[x]*Sin[x])/8 - (Cos[x]^3*Sin[x])/4","A",3,3,9,0.3333,1,"{2568, 2635, 8}"
66,1,22,0,0.0090706,"\int (1-\sin (2 x))^2 \, dx","Int[(1 - Sin[2*x])^2,x]","\frac{3 x}{2}+\cos (2 x)-\frac{1}{4} \sin (2 x) \cos (2 x)","\frac{3 x}{2}+\cos (2 x)-\frac{1}{4} \sin (2 x) \cos (2 x)",1,"(3*x)/2 + Cos[2*x] - (Cos[2*x]*Sin[2*x])/4","A",1,1,10,0.1000,1,"{2644}"
67,1,20,0,0.0144671,"\int \cos (x) \sin \left(\frac{\pi }{6}+x\right) \, dx","Int[Cos[x]*Sin[Pi/6 + x],x]","\frac{x}{4}-\frac{1}{4} \cos \left(2 x+\frac{\pi }{6}\right)","\frac{x}{4}-\frac{1}{4} \cos \left(2 x+\frac{\pi }{6}\right)",1,"x/4 - Cos[Pi/6 + 2*x]/4","A",3,2,11,0.1818,1,"{4574, 2638}"
68,1,25,0,0.0299897,"\int \cos ^5(x) \sin ^5(x) \, dx","Int[Cos[x]^5*Sin[x]^5,x]","\frac{\sin ^{10}(x)}{10}-\frac{\sin ^8(x)}{4}+\frac{\sin ^6(x)}{6}","\frac{\sin ^{10}(x)}{10}-\frac{\sin ^8(x)}{4}+\frac{\sin ^6(x)}{6}",1,"Sin[x]^6/6 - Sin[x]^8/4 + Sin[x]^10/10","A",4,3,9,0.3333,1,"{2564, 266, 43}"
69,1,34,0,0.0167524,"\int \sin ^6(x) \, dx","Int[Sin[x]^6,x]","\frac{5 x}{16}-\frac{1}{6} \sin ^5(x) \cos (x)-\frac{5}{24} \sin ^3(x) \cos (x)-\frac{5}{16} \sin (x) \cos (x)","\frac{5 x}{16}-\frac{1}{6} \sin ^5(x) \cos (x)-\frac{5}{24} \sin ^3(x) \cos (x)-\frac{5}{16} \sin (x) \cos (x)",1,"(5*x)/16 - (5*Cos[x]*Sin[x])/16 - (5*Cos[x]*Sin[x]^3)/24 - (Cos[x]*Sin[x]^5)/6","A",4,2,4,0.5000,1,"{2635, 8}"
70,1,34,0,0.0168791,"\int \cos ^6(x) \, dx","Int[Cos[x]^6,x]","\frac{5 x}{16}+\frac{1}{6} \sin (x) \cos ^5(x)+\frac{5}{24} \sin (x) \cos ^3(x)+\frac{5}{16} \sin (x) \cos (x)","\frac{5 x}{16}+\frac{1}{6} \sin (x) \cos ^5(x)+\frac{5}{24} \sin (x) \cos ^3(x)+\frac{5}{16} \sin (x) \cos (x)",1,"(5*x)/16 + (5*Cos[x]*Sin[x])/16 + (5*Cos[x]^3*Sin[x])/24 + (Cos[x]^5*Sin[x])/6","A",4,2,4,0.5000,1,"{2635, 8}"
71,1,46,0,0.0360118,"\int \cos ^4(2 x) \sin ^2(2 x) \, dx","Int[Cos[2*x]^4*Sin[2*x]^2,x]","\frac{x}{16}-\frac{1}{12} \sin (2 x) \cos ^5(2 x)+\frac{1}{48} \sin (2 x) \cos ^3(2 x)+\frac{1}{32} \sin (2 x) \cos (2 x)","\frac{x}{16}-\frac{1}{12} \sin (2 x) \cos ^5(2 x)+\frac{1}{48} \sin (2 x) \cos ^3(2 x)+\frac{1}{32} \sin (2 x) \cos (2 x)",1,"x/16 + (Cos[2*x]*Sin[2*x])/32 + (Cos[2*x]^3*Sin[2*x])/48 - (Cos[2*x]^5*Sin[2*x])/12","A",4,3,13,0.2308,1,"{2568, 2635, 8}"
72,1,21,0,0.0067568,"\int \sin ^5(x) \, dx","Int[Sin[x]^5,x]","-\frac{1}{5} \cos ^5(x)+\frac{2 \cos ^3(x)}{3}-\cos (x)","-\frac{1}{5} \cos ^5(x)+\frac{2 \cos ^3(x)}{3}-\cos (x)",1,"-Cos[x] + (2*Cos[x]^3)/3 - Cos[x]^5/5","A",2,1,4,0.2500,1,"{2633}"
73,1,46,0,0.0516621,"\int \cos ^4(x) \sin ^4(x) \, dx","Int[Cos[x]^4*Sin[x]^4,x]","\frac{3 x}{128}-\frac{1}{8} \sin ^3(x) \cos ^5(x)-\frac{1}{16} \sin (x) \cos ^5(x)+\frac{1}{64} \sin (x) \cos ^3(x)+\frac{3}{128} \sin (x) \cos (x)","\frac{3 x}{128}-\frac{1}{8} \sin ^3(x) \cos ^5(x)-\frac{1}{16} \sin (x) \cos ^5(x)+\frac{1}{64} \sin (x) \cos ^3(x)+\frac{3}{128} \sin (x) \cos (x)",1,"(3*x)/128 + (3*Cos[x]*Sin[x])/128 + (Cos[x]^3*Sin[x])/64 - (Cos[x]^5*Sin[x])/16 - (Cos[x]^5*Sin[x]^3)/8","A",5,3,9,0.3333,1,"{2568, 2635, 8}"
74,1,21,0,0.0224993,"\int \sqrt{\cos (x)} \sin ^3(x) \, dx","Int[Sqrt[Cos[x]]*Sin[x]^3,x]","\frac{2}{7} \cos ^{\frac{7}{2}}(x)-\frac{2}{3} \cos ^{\frac{3}{2}}(x)","\frac{2}{7} \cos ^{\frac{7}{2}}(x)-\frac{2}{3} \cos ^{\frac{3}{2}}(x)",1,"(-2*Cos[x]^(3/2))/3 + (2*Cos[x]^(7/2))/7","A",3,2,11,0.1818,1,"{2565, 14}"
75,1,21,0,0.0224468,"\int \cos ^3(x) \sqrt{\sin (x)} \, dx","Int[Cos[x]^3*Sqrt[Sin[x]],x]","\frac{2}{3} \sin ^{\frac{3}{2}}(x)-\frac{2}{7} \sin ^{\frac{7}{2}}(x)","\frac{2}{3} \sin ^{\frac{3}{2}}(x)-\frac{2}{7} \sin ^{\frac{7}{2}}(x)",1,"(2*Sin[x]^(3/2))/3 - (2*Sin[x]^(7/2))/7","A",3,2,11,0.1818,1,"{2564, 14}"
76,1,19,0,0.019536,"\int \frac{\cos ^2\left(\sqrt{x}\right)}{\sqrt{x}} \, dx","Int[Cos[Sqrt[x]]^2/Sqrt[x],x]","\sqrt{x}+\sin \left(\sqrt{x}\right) \cos \left(\sqrt{x}\right)","\sqrt{x}+\sin \left(\sqrt{x}\right) \cos \left(\sqrt{x}\right)",1,"Sqrt[x] + Cos[Sqrt[x]]*Sin[Sqrt[x]]","A",3,3,14,0.2143,1,"{3380, 2635, 8}"
77,1,19,0,0.0137001,"\int x \sin ^3\left(x^2\right) \, dx","Int[x*Sin[x^2]^3,x]","\frac{1}{6} \cos ^3\left(x^2\right)-\frac{\cos \left(x^2\right)}{2}","\frac{1}{6} \cos ^3\left(x^2\right)-\frac{\cos \left(x^2\right)}{2}",1,"-Cos[x^2]/2 + Cos[x^2]^3/6","A",3,2,8,0.2500,1,"{3379, 2633}"
78,1,14,0,0.012949,"\int \sin ^2(x) \tan (x) \, dx","Int[Sin[x]^2*Tan[x],x]","\frac{\cos ^2(x)}{2}-\log (\cos (x))","\frac{\cos ^2(x)}{2}-\log (\cos (x))",1,"Cos[x]^2/2 - Log[Cos[x]]","A",3,2,7,0.2857,1,"{2590, 14}"
79,1,22,0,0.0285206,"\int \cos ^2(x) \cot ^3(x) \, dx","Int[Cos[x]^2*Cot[x]^3,x]","\frac{\sin ^2(x)}{2}-\frac{1}{2} \csc ^2(x)-2 \log (\sin (x))","\frac{\sin ^2(x)}{2}-\frac{1}{2} \csc ^2(x)-2 \log (\sin (x))",1,"-Csc[x]^2/2 - 2*Log[Sin[x]] + Sin[x]^2/2","A",4,3,9,0.3333,1,"{2590, 266, 43}"
80,1,5,0,0.013264,"\int \sec (x) (1-\sin (x)) \, dx","Int[Sec[x]*(1 - Sin[x]),x]","\log (\sin (x)+1)","\log (\sin (x)+1)",1,"Log[1 + Sin[x]]","A",2,2,9,0.2222,1,"{2667, 31}"
81,1,11,0,0.0078634,"\int \frac{1}{1-\sin (x)} \, dx","Int[(1 - Sin[x])^(-1),x]","\frac{\cos (x)}{1-\sin (x)}","\frac{\cos (x)}{1-\sin (x)}",1,"Cos[x]/(1 - Sin[x])","A",1,1,8,0.1250,1,"{2648}"
82,1,6,0,0.004091,"\int \tan ^2(x) \, dx","Int[Tan[x]^2,x]","\tan (x)-x","\tan (x)-x",1,"-x + Tan[x]","A",2,2,4,0.5000,1,"{3473, 8}"
83,1,14,0,0.008007,"\int \tan ^4(x) \, dx","Int[Tan[x]^4,x]","x+\frac{\tan ^3(x)}{3}-\tan (x)","x+\frac{\tan ^3(x)}{3}-\tan (x)",1,"x - Tan[x] + Tan[x]^3/3","A",3,2,4,0.5000,1,"{3473, 8}"
84,1,11,0,0.006882,"\int \sec ^4(x) \, dx","Int[Sec[x]^4,x]","\frac{\tan ^3(x)}{3}+\tan (x)","\frac{\tan ^3(x)}{3}+\tan (x)",1,"Tan[x] + Tan[x]^3/3","A",2,1,4,0.2500,1,"{3767}"
85,1,19,0,0.0088159,"\int \sec ^6(x) \, dx","Int[Sec[x]^6,x]","\frac{\tan ^5(x)}{5}+\frac{2 \tan ^3(x)}{3}+\tan (x)","\frac{\tan ^5(x)}{5}+\frac{2 \tan ^3(x)}{3}+\tan (x)",1,"Tan[x] + (2*Tan[x]^3)/3 + Tan[x]^5/5","A",2,1,4,0.2500,1,"{3767}"
86,1,8,0,0.0197036,"\int \sec ^2(x) \tan ^4(x) \, dx","Int[Sec[x]^2*Tan[x]^4,x]","\frac{\tan ^5(x)}{5}","\frac{\tan ^5(x)}{5}",1,"Tan[x]^5/5","A",2,2,9,0.2222,1,"{2607, 30}"
87,1,17,0,0.0216581,"\int \sec ^4(x) \tan ^2(x) \, dx","Int[Sec[x]^4*Tan[x]^2,x]","\frac{\tan ^5(x)}{5}+\frac{\tan ^3(x)}{3}","\frac{\tan ^5(x)}{5}+\frac{\tan ^3(x)}{3}",1,"Tan[x]^3/3 + Tan[x]^5/5","A",3,2,9,0.2222,1,"{2607, 14}"
88,1,8,0,0.011629,"\int \sec ^3(x) \tan (x) \, dx","Int[Sec[x]^3*Tan[x],x]","\frac{\sec ^3(x)}{3}","\frac{\sec ^3(x)}{3}",1,"Sec[x]^3/3","A",2,2,7,0.2857,1,"{2606, 30}"
89,1,17,0,0.0231833,"\int \sec ^3(x) \tan ^3(x) \, dx","Int[Sec[x]^3*Tan[x]^3,x]","\frac{\sec ^5(x)}{5}-\frac{\sec ^3(x)}{3}","\frac{\sec ^5(x)}{5}-\frac{\sec ^3(x)}{3}",1,"-Sec[x]^3/3 + Sec[x]^5/5","A",3,2,9,0.2222,1,"{2606, 14}"
90,1,22,0,0.0101662,"\int \tan ^5(x) \, dx","Int[Tan[x]^5,x]","\frac{\tan ^4(x)}{4}-\frac{\tan ^2(x)}{2}-\log (\cos (x))","\frac{\tan ^4(x)}{4}-\frac{\tan ^2(x)}{2}-\log (\cos (x))",1,"-Log[Cos[x]] - Tan[x]^2/2 + Tan[x]^4/4","A",3,2,4,0.5000,1,"{3473, 3475}"
91,1,22,0,0.0131138,"\int \tan ^6(x) \, dx","Int[Tan[x]^6,x]","-x+\frac{\tan ^5(x)}{5}-\frac{\tan ^3(x)}{3}+\tan (x)","-x+\frac{\tan ^5(x)}{5}-\frac{\tan ^3(x)}{3}+\tan (x)",1,"-x + Tan[x] - Tan[x]^3/3 + Tan[x]^5/5","A",4,2,4,0.5000,1,"{3473, 8}"
92,1,19,0,0.0163057,"\int \sec (x) \tan ^5(x) \, dx","Int[Sec[x]*Tan[x]^5,x]","\frac{\sec ^5(x)}{5}-\frac{2 \sec ^3(x)}{3}+\sec (x)","\frac{\sec ^5(x)}{5}-\frac{2 \sec ^3(x)}{3}+\sec (x)",1,"Sec[x] - (2*Sec[x]^3)/3 + Sec[x]^5/5","A",3,2,7,0.2857,1,"{2606, 194}"
93,1,25,0,0.0291992,"\int \sec ^3(x) \tan ^5(x) \, dx","Int[Sec[x]^3*Tan[x]^5,x]","\frac{\sec ^7(x)}{7}-\frac{2 \sec ^5(x)}{5}+\frac{\sec ^3(x)}{3}","\frac{\sec ^7(x)}{7}-\frac{2 \sec ^5(x)}{5}+\frac{\sec ^3(x)}{3}",1,"Sec[x]^3/3 - (2*Sec[x]^5)/5 + Sec[x]^7/7","A",3,2,9,0.2222,1,"{2606, 270}"
94,1,8,0,0.0134191,"\int \sec ^6(x) \tan (x) \, dx","Int[Sec[x]^6*Tan[x],x]","\frac{\sec ^6(x)}{6}","\frac{\sec ^6(x)}{6}",1,"Sec[x]^6/6","A",2,2,7,0.2857,1,"{2606, 30}"
95,1,17,0,0.0276463,"\int \sec ^6(x) \tan ^3(x) \, dx","Int[Sec[x]^6*Tan[x]^3,x]","\frac{\sec ^8(x)}{8}-\frac{\sec ^6(x)}{6}","\frac{\sec ^8(x)}{8}-\frac{\sec ^6(x)}{6}",1,"-Sec[x]^6/6 + Sec[x]^8/8","A",3,2,9,0.2222,1,"{2606, 14}"
96,1,8,0,0.0116286,"\int \sec ^2(x) \tan (x) \, dx","Int[Sec[x]^2*Tan[x],x]","\frac{\sec ^2(x)}{2}","\frac{\sec ^2(x)}{2}",1,"Sec[x]^2/2","A",2,2,7,0.2857,1,"{2606, 30}"
97,1,16,0,0.0152064,"\int \sec (x) \tan ^2(x) \, dx","Int[Sec[x]*Tan[x]^2,x]","\frac{1}{2} \tan (x) \sec (x)-\frac{1}{2} \tanh ^{-1}(\sin (x))","\frac{1}{2} \tan (x) \sec (x)-\frac{1}{2} \tanh ^{-1}(\sin (x))",1,"-ArcTanh[Sin[x]]/2 + (Sec[x]*Tan[x])/2","A",2,2,7,0.2857,1,"{2611, 3770}"
98,1,8,0,0.0052417,"\int \cot ^2(x) \, dx","Int[Cot[x]^2,x]","-x-\cot (x)","-x-\cot (x)",1,"-x - Cot[x]","A",2,2,4,0.5000,1,"{3473, 8}"
99,1,14,0,0.0074278,"\int \cot ^3(x) \, dx","Int[Cot[x]^3,x]","-\frac{1}{2} \cot ^2(x)-\log (\sin (x))","-\frac{1}{2} \cot ^2(x)-\log (\sin (x))",1,"-Cot[x]^2/2 - Log[Sin[x]]","A",2,2,4,0.5000,1,"{3473, 3475}"
100,1,17,0,0.0260087,"\int \cot ^4(x) \csc ^4(x) \, dx","Int[Cot[x]^4*Csc[x]^4,x]","-\frac{1}{7} \cot ^7(x)-\frac{\cot ^5(x)}{5}","-\frac{1}{7} \cot ^7(x)-\frac{\cot ^5(x)}{5}",1,"-Cot[x]^5/5 - Cot[x]^7/7","A",3,2,9,0.2222,1,"{2607, 14}"
101,1,17,0,0.0259722,"\int \cot ^3(x) \csc ^4(x) \, dx","Int[Cot[x]^3*Csc[x]^4,x]","\frac{\csc ^4(x)}{4}-\frac{\csc ^6(x)}{6}","\frac{\csc ^4(x)}{4}-\frac{\csc ^6(x)}{6}",1,"Csc[x]^4/4 - Csc[x]^6/6","A",3,2,9,0.2222,1,"{2606, 14}"
102,1,5,0,0.0022161,"\int \csc (x) \, dx","Int[Csc[x],x]","-\tanh ^{-1}(\cos (x))","-\tanh ^{-1}(\cos (x))",1,"-ArcTanh[Cos[x]]","A",1,1,2,0.5000,1,"{3770}"
103,1,16,0,0.006974,"\int \csc ^3(x) \, dx","Int[Csc[x]^3,x]","-\frac{1}{2} \tanh ^{-1}(\cos (x))-\frac{1}{2} \cot (x) \csc (x)","-\frac{1}{2} \tanh ^{-1}(\cos (x))-\frac{1}{2} \cot (x) \csc (x)",1,"-ArcTanh[Cos[x]]/2 - (Cot[x]*Csc[x])/2","A",2,2,4,0.5000,1,"{3768, 3770}"
104,1,8,0,0.0107351,"\int \cos (x) \cot (x) \, dx","Int[Cos[x]*Cot[x],x]","\cos (x)-\tanh ^{-1}(\cos (x))","\cos (x)-\tanh ^{-1}(\cos (x))",1,"-ArcTanh[Cos[x]] + Cos[x]","A",3,3,5,0.6000,1,"{2592, 321, 206}"
105,1,13,0,0.0065964,"\int \csc ^4(x) \, dx","Int[Csc[x]^4,x]","-\frac{1}{3} \cot ^3(x)-\cot (x)","-\frac{1}{3} \cot ^3(x)-\cot (x)",1,"-Cot[x] - Cot[x]^3/3","A",2,1,4,0.2500,1,"{3767}"
106,1,17,0,0.0084189,"\int \sin (2 x) \sin (5 x) \, dx","Int[Sin[2*x]*Sin[5*x],x]","\frac{1}{6} \sin (3 x)-\frac{1}{14} \sin (7 x)","\frac{1}{6} \sin (3 x)-\frac{1}{14} \sin (7 x)",1,"Sin[3*x]/6 - Sin[7*x]/14","A",1,1,9,0.1111,1,"{4282}"
107,1,17,0,0.0075752,"\int \cos (x) \sin (3 x) \, dx","Int[Cos[x]*Sin[3*x],x]","-\frac{1}{4} \cos (2 x)-\frac{1}{8} \cos (4 x)","-\frac{1}{4} \cos (2 x)-\frac{1}{8} \cos (4 x)",1,"-Cos[2*x]/4 - Cos[4*x]/8","A",1,1,7,0.1429,1,"{4284}"
108,1,15,0,0.00798,"\int \cos (3 x) \cos (4 x) \, dx","Int[Cos[3*x]*Cos[4*x],x]","\frac{\sin (x)}{2}+\frac{1}{14} \sin (7 x)","\frac{\sin (x)}{2}+\frac{1}{14} \sin (7 x)",1,"Sin[x]/2 + Sin[7*x]/14","A",1,1,9,0.1111,1,"{4283}"
109,1,17,0,0.0082184,"\int \sin (3 x) \sin (6 x) \, dx","Int[Sin[3*x]*Sin[6*x],x]","\frac{1}{6} \sin (3 x)-\frac{1}{18} \sin (9 x)","\frac{1}{6} \sin (3 x)-\frac{1}{18} \sin (9 x)",1,"Sin[3*x]/6 - Sin[9*x]/18","A",1,1,9,0.1111,1,"{4282}"
110,1,8,0,0.0125415,"\int \cos ^5(x) \sin (x) \, dx","Int[Cos[x]^5*Sin[x],x]","-\frac{1}{6} \cos ^6(x)","-\frac{1}{6} \cos ^6(x)",1,"-Cos[x]^6/6","A",2,2,7,0.2857,1,"{2565, 30}"
111,1,30,0,0.0306922,"\int \cos (x) \cos (2 x) \cos (3 x) \, dx","Int[Cos[x]*Cos[2*x]*Cos[3*x],x]","\frac{x}{4}+\frac{1}{8} \sin (2 x)+\frac{1}{16} \sin (4 x)+\frac{1}{24} \sin (6 x)","\frac{x}{4}+\frac{1}{8} \sin (2 x)+\frac{1}{16} \sin (4 x)+\frac{1}{24} \sin (6 x)",1,"x/4 + Sin[2*x]/8 + Sin[4*x]/16 + Sin[6*x]/24","A",5,2,11,0.1818,1,"{4355, 2637}"
112,1,5,0,0.0220327,"\int \cos ^2(x) \left(1-\tan ^2(x)\right) \, dx","Int[Cos[x]^2*(1 - Tan[x]^2),x]","\sin (x) \cos (x)","\sin (x) \cos (x)",1,"Cos[x]*Sin[x]","A",2,2,13,0.1538,1,"{3675, 383}"
113,1,15,0,0.05349,"\int \csc (2 x) (\cos (x)+\sin (x)) \, dx","Int[Csc[2*x]*(Cos[x] + Sin[x]),x]","\frac{1}{2} \tanh ^{-1}(\sin (x))-\frac{1}{2} \tanh ^{-1}(\cos (x))","\frac{1}{2} \tanh ^{-1}(\sin (x))-\frac{1}{2} \tanh ^{-1}(\cos (x))",1,"-ArcTanh[Cos[x]]/2 + ArcTanh[Sin[x]]/2","A",6,4,10,0.4000,1,"{4401, 4287, 3770, 4288}"
114,1,14,0,0.0150215,"\int \sin ^2(x) \tan (x) \, dx","Int[Sin[x]^2*Tan[x],x]","\frac{\cos ^2(x)}{2}-\log (\cos (x))","\frac{\cos ^2(x)}{2}-\log (\cos (x))",1,"Cos[x]^2/2 - Log[Cos[x]]","A",3,2,7,0.2857,1,"{2590, 14}"
115,1,22,0,0.0521154,"\int \cos ^2(x) \cot ^3(x) \, dx","Int[Cos[x]^2*Cot[x]^3,x]","\frac{\sin ^2(x)}{2}-\frac{1}{2} \csc ^2(x)-2 \log (\sin (x))","\frac{\sin ^2(x)}{2}-\frac{1}{2} \csc ^2(x)-2 \log (\sin (x))",1,"-Csc[x]^2/2 - 2*Log[Sin[x]] + Sin[x]^2/2","A",4,3,9,0.3333,1,"{2590, 266, 43}"
116,1,8,0,0.0153974,"\int \sec ^3(x) \tan (x) \, dx","Int[Sec[x]^3*Tan[x],x]","\frac{\sec ^3(x)}{3}","\frac{\sec ^3(x)}{3}",1,"Sec[x]^3/3","A",2,2,7,0.2857,1,"{2606, 30}"
117,1,17,0,0.0255822,"\int \sec ^3(x) \tan ^3(x) \, dx","Int[Sec[x]^3*Tan[x]^3,x]","\frac{\sec ^5(x)}{5}-\frac{\sec ^3(x)}{3}","\frac{\sec ^5(x)}{5}-\frac{\sec ^3(x)}{3}",1,"-Sec[x]^3/3 + Sec[x]^5/5","A",3,2,9,0.2222,1,"{2606, 14}"
118,1,25,0,0.0042819,"\int \frac{\sqrt{9-x^2}}{x^2} \, dx","Int[Sqrt[9 - x^2]/x^2,x]","-\frac{\sqrt{9-x^2}}{x}-\sin ^{-1}\left(\frac{x}{3}\right)","-\frac{\sqrt{9-x^2}}{x}-\sin ^{-1}\left(\frac{x}{3}\right)",1,"-(Sqrt[9 - x^2]/x) - ArcSin[x/3]","A",2,2,15,0.1333,1,"{277, 216}"
119,1,16,0,0.0027984,"\int \frac{1}{x^2 \sqrt{4+x^2}} \, dx","Int[1/(x^2*Sqrt[4 + x^2]),x]","-\frac{\sqrt{x^2+4}}{4 x}","-\frac{\sqrt{x^2+4}}{4 x}",1,"-Sqrt[4 + x^2]/(4*x)","A",1,1,13,0.07692,1,"{264}"
120,1,9,0,0.0016157,"\int \frac{x}{\sqrt{4+x^2}} \, dx","Int[x/Sqrt[4 + x^2],x]","\sqrt{x^2+4}","\sqrt{x^2+4}",1,"Sqrt[4 + x^2]","A",1,1,11,0.09091,1,"{261}"
121,1,16,0,0.0024596,"\int \frac{1}{\sqrt{-a^2+x^2}} \, dx","Int[1/Sqrt[-a^2 + x^2],x]","\tanh ^{-1}\left(\frac{x}{\sqrt{x^2-a^2}}\right)","\tanh ^{-1}\left(\frac{x}{\sqrt{x^2-a^2}}\right)",1,"ArcTanh[x/Sqrt[-a^2 + x^2]]","A",2,2,13,0.1538,1,"{217, 206}"
122,1,31,0,0.0146203,"\int \frac{x^3}{\left(9+4 x^2\right)^{3/2}} \, dx","Int[x^3/(9 + 4*x^2)^(3/2),x]","\frac{1}{16} \sqrt{4 x^2+9}+\frac{9}{16 \sqrt{4 x^2+9}}","\frac{1}{16} \sqrt{4 x^2+9}+\frac{9}{16 \sqrt{4 x^2+9}}",1,"9/(16*Sqrt[9 + 4*x^2]) + Sqrt[9 + 4*x^2]/16","A",3,2,15,0.1333,1,"{266, 43}"
123,1,27,0,0.0104876,"\int \frac{x}{\sqrt{3-2 x-x^2}} \, dx","Int[x/Sqrt[3 - 2*x - x^2],x]","\sin ^{-1}\left(\frac{1}{2} (-x-1)\right)-\sqrt{-x^2-2 x+3}","\sin ^{-1}\left(\frac{1}{2} (-x-1)\right)-\sqrt{-x^2-2 x+3}",1,"-Sqrt[3 - 2*x - x^2] + ArcSin[(-1 - x)/2]","A",3,3,16,0.1875,1,"{640, 619, 216}"
124,1,16,0,0.0031218,"\int \frac{1}{x^2 \sqrt{1-x^2}} \, dx","Int[1/(x^2*Sqrt[1 - x^2]),x]","-\frac{\sqrt{1-x^2}}{x}","-\frac{\sqrt{1-x^2}}{x}",1,"-(Sqrt[1 - x^2]/x)","A",1,1,15,0.06667,1,"{264}"
125,1,31,0,0.0142777,"\int x^3 \sqrt{4-x^2} \, dx","Int[x^3*Sqrt[4 - x^2],x]","\frac{1}{5} \left(4-x^2\right)^{5/2}-\frac{4}{3} \left(4-x^2\right)^{3/2}","\frac{1}{5} \left(4-x^2\right)^{5/2}-\frac{4}{3} \left(4-x^2\right)^{3/2}",1,"(-4*(4 - x^2)^(3/2))/3 + (4 - x^2)^(5/2)/5","A",3,2,15,0.1333,1,"{266, 43}"
126,1,13,0,0.0024715,"\int \frac{x}{\sqrt{1-x^2}} \, dx","Int[x/Sqrt[1 - x^2],x]","-\sqrt{1-x^2}","-\sqrt{1-x^2}",1,"-Sqrt[1 - x^2]","A",1,1,13,0.07692,1,"{261}"
127,1,15,0,0.0022245,"\int x \sqrt{4-x^2} \, dx","Int[x*Sqrt[4 - x^2],x]","-\frac{1}{3} \left(4-x^2\right)^{3/2}","-\frac{1}{3} \left(4-x^2\right)^{3/2}",1,"-(4 - x^2)^(3/2)/3","A",1,1,13,0.07692,1,"{261}"
128,1,25,0,0.0034196,"\int \sqrt{1-4 x^2} \, dx","Int[Sqrt[1 - 4*x^2],x]","\frac{1}{2} \sqrt{1-4 x^2} x+\frac{1}{4} \sin ^{-1}(2 x)","\frac{1}{2} \sqrt{1-4 x^2} x+\frac{1}{4} \sin ^{-1}(2 x)",1,"(x*Sqrt[1 - 4*x^2])/2 + ArcSin[2*x]/4","A",2,2,11,0.1818,1,"{195, 216}"
129,1,25,0,0.0111117,"\int \frac{x^3}{\sqrt{4+x^2}} \, dx","Int[x^3/Sqrt[4 + x^2],x]","\frac{1}{3} \left(x^2+4\right)^{3/2}-4 \sqrt{x^2+4}","\frac{1}{3} \left(x^2+4\right)^{3/2}-4 \sqrt{x^2+4}",1,"-4*Sqrt[4 + x^2] + (4 + x^2)^(3/2)/3","A",3,2,13,0.1538,1,"{266, 43}"
130,1,6,0,0.0011798,"\int \frac{1}{\sqrt{9+x^2}} \, dx","Int[1/Sqrt[9 + x^2],x]","\sinh ^{-1}\left(\frac{x}{3}\right)","\sinh ^{-1}\left(\frac{x}{3}\right)",1,"ArcSinh[x/3]","A",1,1,9,0.1111,1,"{215}"
131,1,21,0,0.0026484,"\int \sqrt{1+x^2} \, dx","Int[Sqrt[1 + x^2],x]","\frac{1}{2} \sqrt{x^2+1} x+\frac{1}{2} \sinh ^{-1}(x)","\frac{1}{2} \sqrt{x^2+1} x+\frac{1}{2} \sinh ^{-1}(x)",1,"(x*Sqrt[1 + x^2])/2 + ArcSinh[x]/2","A",2,2,9,0.2222,1,"{195, 215}"
132,1,35,0,0.0132875,"\int \frac{1}{x^3 \sqrt{-16+x^2}} \, dx","Int[1/(x^3*Sqrt[-16 + x^2]),x]","\frac{\sqrt{x^2-16}}{32 x^2}+\frac{1}{128} \tan ^{-1}\left(\frac{\sqrt{x^2-16}}{4}\right)","\frac{\sqrt{x^2-16}}{32 x^2}+\frac{1}{128} \tan ^{-1}\left(\frac{\sqrt{x^2-16}}{4}\right)",1,"Sqrt[-16 + x^2]/(32*x^2) + ArcTan[Sqrt[-16 + x^2]/4]/128","A",4,4,13,0.3077,1,"{266, 51, 63, 203}"
133,1,23,0,0.0040181,"\int \frac{\sqrt{-a^2+x^2}}{x^4} \, dx","Int[Sqrt[-a^2 + x^2]/x^4,x]","\frac{\left(x^2-a^2\right)^{3/2}}{3 a^2 x^3}","\frac{\left(x^2-a^2\right)^{3/2}}{3 a^2 x^3}",1,"(-a^2 + x^2)^(3/2)/(3*a^2*x^3)","A",1,1,17,0.05882,1,"{264}"
134,1,30,0,0.015983,"\int \frac{\sqrt{-4+9 x^2}}{x} \, dx","Int[Sqrt[-4 + 9*x^2]/x,x]","\sqrt{9 x^2-4}-2 \tan ^{-1}\left(\frac{1}{2} \sqrt{9 x^2-4}\right)","\sqrt{9 x^2-4}-2 \tan ^{-1}\left(\frac{1}{2} \sqrt{9 x^2-4}\right)",1,"Sqrt[-4 + 9*x^2] - 2*ArcTan[Sqrt[-4 + 9*x^2]/2]","A",4,4,15,0.2667,1,"{266, 50, 63, 203}"
135,1,18,0,0.0030559,"\int \frac{1}{x^2 \sqrt{-9+16 x^2}} \, dx","Int[1/(x^2*Sqrt[-9 + 16*x^2]),x]","\frac{\sqrt{16 x^2-9}}{9 x}","\frac{\sqrt{16 x^2-9}}{9 x}",1,"Sqrt[-9 + 16*x^2]/(9*x)","A",1,1,15,0.06667,1,"{264}"
136,1,34,0,0.0063195,"\int \frac{x^2}{\left(a^2-x^2\right)^{3/2}} \, dx","Int[x^2/(a^2 - x^2)^(3/2),x]","\frac{x}{\sqrt{a^2-x^2}}-\tan ^{-1}\left(\frac{x}{\sqrt{a^2-x^2}}\right)","\frac{x}{\sqrt{a^2-x^2}}-\tan ^{-1}\left(\frac{x}{\sqrt{a^2-x^2}}\right)",1,"x/Sqrt[a^2 - x^2] - ArcTan[x/Sqrt[a^2 - x^2]]","A",3,3,17,0.1765,1,"{288, 217, 203}"
137,1,29,0,0.0061221,"\int \frac{x^2}{\sqrt{5-x^2}} \, dx","Int[x^2/Sqrt[5 - x^2],x]","\frac{5}{2} \sin ^{-1}\left(\frac{x}{\sqrt{5}}\right)-\frac{1}{2} x \sqrt{5-x^2}","\frac{5}{2} \sin ^{-1}\left(\frac{x}{\sqrt{5}}\right)-\frac{1}{2} x \sqrt{5-x^2}",1,"-(x*Sqrt[5 - x^2])/2 + (5*ArcSin[x/Sqrt[5]])/2","A",2,2,15,0.1333,1,"{321, 216}"
138,1,23,0,0.0110963,"\int \frac{1}{x \sqrt{3+x^2}} \, dx","Int[1/(x*Sqrt[3 + x^2]),x]","-\frac{\tanh ^{-1}\left(\frac{\sqrt{x^2+3}}{\sqrt{3}}\right)}{\sqrt{3}}","-\frac{\tanh ^{-1}\left(\frac{\sqrt{x^2+3}}{\sqrt{3}}\right)}{\sqrt{3}}",1,"-(ArcTanh[Sqrt[3 + x^2]/Sqrt[3]]/Sqrt[3])","A",3,3,13,0.2308,1,"{266, 63, 207}"
139,1,13,0,0.0020326,"\int \frac{x}{\left(4+x^2\right)^{5/2}} \, dx","Int[x/(4 + x^2)^(5/2),x]","-\frac{1}{3 \left(x^2+4\right)^{3/2}}","-\frac{1}{3 \left(x^2+4\right)^{3/2}}",1,"-1/(3*(4 + x^2)^(3/2))","A",1,1,11,0.09091,1,"{261}"
140,1,31,0,0.0139225,"\int x^3 \sqrt{4-9 x^2} \, dx","Int[x^3*Sqrt[4 - 9*x^2],x]","\frac{1}{405} \left(4-9 x^2\right)^{5/2}-\frac{4}{243} \left(4-9 x^2\right)^{3/2}","\frac{1}{405} \left(4-9 x^2\right)^{5/2}-\frac{4}{243} \left(4-9 x^2\right)^{3/2}",1,"(-4*(4 - 9*x^2)^(3/2))/243 + (4 - 9*x^2)^(5/2)/405","A",3,2,15,0.1333,1,"{266, 43}"
141,1,45,0,0.0099616,"\int x^2 \sqrt{9-x^2} \, dx","Int[x^2*Sqrt[9 - x^2],x]","\frac{1}{4} \sqrt{9-x^2} x^3-\frac{9}{8} \sqrt{9-x^2} x+\frac{81}{8} \sin ^{-1}\left(\frac{x}{3}\right)","\frac{1}{4} \sqrt{9-x^2} x^3-\frac{9}{8} \sqrt{9-x^2} x+\frac{81}{8} \sin ^{-1}\left(\frac{x}{3}\right)",1,"(-9*x*Sqrt[9 - x^2])/8 + (x^3*Sqrt[9 - x^2])/4 + (81*ArcSin[x/3])/8","A",3,3,15,0.2000,1,"{279, 321, 216}"
142,1,13,0,0.0024651,"\int 5 x \sqrt{1+x^2} \, dx","Int[5*x*Sqrt[1 + x^2],x]","\frac{5}{3} \left(x^2+1\right)^{3/2}","\frac{5}{3} \left(x^2+1\right)^{3/2}",1,"(5*(1 + x^2)^(3/2))/3","A",2,2,12,0.1667,1,"{12, 261}"
143,1,16,0,0.0014153,"\int \frac{1}{\left(-25+4 x^2\right)^{3/2}} \, dx","Int[(-25 + 4*x^2)^(-3/2),x]","-\frac{x}{25 \sqrt{4 x^2-25}}","-\frac{x}{25 \sqrt{4 x^2-25}}",1,"-x/(25*Sqrt[-25 + 4*x^2])","A",1,1,11,0.09091,1,"{191}"
144,1,33,0,0.0076645,"\int \sqrt{2 x-x^2} \, dx","Int[Sqrt[2*x - x^2],x]","-\frac{1}{2} \sqrt{2 x-x^2} (1-x)-\frac{1}{2} \sin ^{-1}(1-x)","-\frac{1}{2} \sqrt{2 x-x^2} (1-x)-\frac{1}{2} \sin ^{-1}(1-x)",1,"-((1 - x)*Sqrt[2*x - x^2])/2 - ArcSin[1 - x]/2","A",3,3,13,0.2308,1,"{612, 619, 216}"
145,1,8,0,0.0062037,"\int \frac{1}{\sqrt{8+4 x+x^2}} \, dx","Int[1/Sqrt[8 + 4*x + x^2],x]","\sinh ^{-1}\left(\frac{x+2}{2}\right)","\sinh ^{-1}\left(\frac{x+2}{2}\right)",1,"ArcSinh[(2 + x)/2]","A",2,2,12,0.1667,1,"{619, 215}"
146,1,25,0,0.0058126,"\int \frac{1}{\sqrt{-8+6 x+9 x^2}} \, dx","Int[1/Sqrt[-8 + 6*x + 9*x^2],x]","\frac{1}{3} \tanh ^{-1}\left(\frac{3 x+1}{\sqrt{9 x^2+6 x-8}}\right)","\frac{1}{3} \tanh ^{-1}\left(\frac{3 x+1}{\sqrt{9 x^2+6 x-8}}\right)",1,"ArcTanh[(1 + 3*x)/Sqrt[-8 + 6*x + 9*x^2]]/3","A",2,2,14,0.1429,1,"{621, 206}"
147,1,44,0,0.0170626,"\int \frac{x^2}{\sqrt{4 x-x^2}} \, dx","Int[x^2/Sqrt[4*x - x^2],x]","-\frac{1}{2} \sqrt{4 x-x^2} x-3 \sqrt{4 x-x^2}-6 \sin ^{-1}\left(1-\frac{x}{2}\right)","-\frac{1}{2} \sqrt{4 x-x^2} x-3 \sqrt{4 x-x^2}-6 \sin ^{-1}\left(1-\frac{x}{2}\right)",1,"-3*Sqrt[4*x - x^2] - (x*Sqrt[4*x - x^2])/2 - 6*ArcSin[1 - x/2]","A",4,4,17,0.2353,1,"{670, 640, 619, 216}"
148,1,26,0,0.0055748,"\int \frac{1}{\left(2+2 x+x^2\right)^2} \, dx","Int[(2 + 2*x + x^2)^(-2),x]","\frac{x+1}{2 \left(x^2+2 x+2\right)}+\frac{1}{2} \tan ^{-1}(x+1)","\frac{x+1}{2 \left(x^2+2 x+2\right)}+\frac{1}{2} \tan ^{-1}(x+1)",1,"(1 + x)/(2*(2 + 2*x + x^2)) + ArcTan[1 + x]/2","A",3,3,10,0.3000,1,"{614, 617, 204}"
149,1,43,0,0.0075282,"\int \frac{1}{\left(5-4 x-x^2\right)^{5/2}} \, dx","Int[(5 - 4*x - x^2)^(-5/2),x]","\frac{2 (x+2)}{243 \sqrt{-x^2-4 x+5}}+\frac{x+2}{27 \left(-x^2-4 x+5\right)^{3/2}}","\frac{2 (x+2)}{243 \sqrt{-x^2-4 x+5}}+\frac{x+2}{27 \left(-x^2-4 x+5\right)^{3/2}}",1,"(2 + x)/(27*(5 - 4*x - x^2)^(3/2)) + (2*(2 + x))/(243*Sqrt[5 - 4*x - x^2])","A",2,2,14,0.1429,1,"{614, 613}"
150,1,33,0,0.0246832,"\int e^t \sqrt{9-e^{2 t}} \, dt","Int[E^t*Sqrt[9 - E^(2*t)],t]","\frac{1}{2} e^t \sqrt{9-e^{2 t}}+\frac{9}{2} \sin ^{-1}\left(\frac{e^t}{3}\right)","\frac{1}{2} e^t \sqrt{9-e^{2 t}}+\frac{9}{2} \sin ^{-1}\left(\frac{e^t}{3}\right)",1,"(E^t*Sqrt[9 - E^(2*t)])/2 + (9*ArcSin[E^t/3])/2","A",3,3,17,0.1765,1,"{2249, 195, 216}"
151,1,30,0,0.0153925,"\int \sqrt{-9+e^{2 t}} \, dt","Int[Sqrt[-9 + E^(2*t)],t]","\sqrt{e^{2 t}-9}-3 \tan ^{-1}\left(\frac{1}{3} \sqrt{e^{2 t}-9}\right)","\sqrt{e^{2 t}-9}-3 \tan ^{-1}\left(\frac{1}{3} \sqrt{e^{2 t}-9}\right)",1,"Sqrt[-9 + E^(2*t)] - 3*ArcTan[Sqrt[-9 + E^(2*t)]/3]","A",4,4,11,0.3636,1,"{2282, 50, 63, 203}"
152,1,14,0,0.0023598,"\int \frac{1}{\sqrt{a^2+x^2}} \, dx","Int[1/Sqrt[a^2 + x^2],x]","\tanh ^{-1}\left(\frac{x}{\sqrt{a^2+x^2}}\right)","\tanh ^{-1}\left(\frac{x}{\sqrt{a^2+x^2}}\right)",1,"ArcTanh[x/Sqrt[a^2 + x^2]]","A",2,2,11,0.1818,1,"{217, 206}"
153,1,15,0,0.0036326,"\int \frac{5+x}{-2+x+x^2} \, dx","Int[(5 + x)/(-2 + x + x^2),x]","2 \log (1-x)-\log (x+2)","2 \log (1-x)-\log (x+2)",1,"2*Log[1 - x] - Log[2 + x]","A",3,2,12,0.1667,1,"{632, 31}"
154,1,26,0,0.0163615,"\int \frac{x+x^3}{-1+x} \, dx","Int[(x + x^3)/(-1 + x),x]","\frac{x^3}{3}+\frac{x^2}{2}+2 x+2 \log (1-x)","\frac{x^3}{3}+\frac{x^2}{2}+2 x+2 \log (1-x)",1,"2*x + x^2/2 + x^3/3 + 2*Log[1 - x]","A",3,2,11,0.1818,1,"{1593, 772}"
155,1,25,0,0.041823,"\int \frac{-1+2 x+x^2}{-2 x+3 x^2+2 x^3} \, dx","Int[(-1 + 2*x + x^2)/(-2*x + 3*x^2 + 2*x^3),x]","\frac{1}{10} \log (1-2 x)+\frac{\log (x)}{2}-\frac{1}{10} \log (x+2)","\frac{1}{10} \log (1-2 x)+\frac{\log (x)}{2}-\frac{1}{10} \log (x+2)",1,"Log[1 - 2*x]/10 + Log[x]/2 - Log[2 + x]/10","A",3,2,25,0.08000,1,"{1594, 1628}"
156,1,30,0,0.0298122,"\int \frac{1+4 x-2 x^2+x^4}{1-x-x^2+x^3} \, dx","Int[(1 + 4*x - 2*x^2 + x^4)/(1 - x - x^2 + x^3),x]","\frac{x^2}{2}+x+\frac{2}{1-x}+\log (1-x)-\log (x+1)","\frac{x^2}{2}+x+\frac{2}{1-x}+\log (1-x)-\log (x+1)",1,"2/(1 - x) + x + x^2/2 + Log[1 - x] - Log[1 + x]","A",2,1,29,0.03448,1,"{2074}"
157,1,23,0,0.0382582,"\int \frac{4-x+2 x^2}{4 x+x^3} \, dx","Int[(4 - x + 2*x^2)/(4*x + x^3),x]","\frac{1}{2} \log \left(x^2+4\right)+\log (x)-\frac{1}{2} \tan ^{-1}\left(\frac{x}{2}\right)","\frac{1}{2} \log \left(x^2+4\right)+\log (x)-\frac{1}{2} \tan ^{-1}\left(\frac{x}{2}\right)",1,"-ArcTan[x/2]/2 + Log[x] + Log[4 + x^2]/2","A",6,5,20,0.2500,1,"{1593, 1802, 635, 203, 260}"
158,1,38,0,0.037902,"\int \frac{2-3 x+4 x^2}{3-4 x+4 x^2} \, dx","Int[(2 - 3*x + 4*x^2)/(3 - 4*x + 4*x^2),x]","\frac{1}{8} \log \left(4 x^2-4 x+3\right)+x+\frac{\tan ^{-1}\left(\frac{1-2 x}{\sqrt{2}}\right)}{4 \sqrt{2}}","\frac{1}{8} \log \left(4 x^2-4 x+3\right)+x+\frac{\tan ^{-1}\left(\frac{1-2 x}{\sqrt{2}}\right)}{4 \sqrt{2}}",1,"x + ArcTan[(1 - 2*x)/Sqrt[2]]/(4*Sqrt[2]) + Log[3 - 4*x + 4*x^2]/8","A",6,5,23,0.2174,1,"{1657, 634, 618, 204, 628}"
159,1,103,0,0.5367112,"\int \frac{1+x^2+x^3}{(-1+x) x \left(1+x^2\right)^3 \left(1+x+x^2\right)} \, dx","Int[(1 + x^2 + x^3)/((-1 + x)*x*(1 + x^2)^3*(1 + x + x^2)),x]","-\frac{3 (1-x)}{8 \left(x^2+1\right)}+\frac{3 x}{16 \left(x^2+1\right)}+\frac{x+1}{8 \left(x^2+1\right)^2}+\frac{15}{16} \log \left(x^2+1\right)-\frac{1}{2} \log \left(x^2+x+1\right)+\frac{1}{8} \log (1-x)-\log (x)+\frac{7}{16} \tan ^{-1}(x)-\frac{\tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)}{\sqrt{3}}","-\frac{3 (1-x)}{8 \left(x^2+1\right)}+\frac{3 x}{16 \left(x^2+1\right)}+\frac{x+1}{8 \left(x^2+1\right)^2}+\frac{15}{16} \log \left(x^2+1\right)-\frac{1}{2} \log \left(x^2+x+1\right)+\frac{1}{8} \log (1-x)-\log (x)+\frac{7}{16} \tan ^{-1}(x)-\frac{\tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)}{\sqrt{3}}",1,"(1 + x)/(8*(1 + x^2)^2) - (3*(1 - x))/(8*(1 + x^2)) + (3*x)/(16*(1 + x^2)) + (7*ArcTan[x])/16 - ArcTan[(1 + 2*x)/Sqrt[3]]/Sqrt[3] + Log[1 - x]/8 - Log[x] + (15*Log[1 + x^2])/16 - Log[1 + x + x^2]/2","A",14,10,32,0.3125,1,"{6728, 639, 199, 203, 635, 260, 634, 618, 204, 628}"
160,1,33,0,0.047321,"\int \frac{1-3 x+2 x^2-x^3}{x \left(1+x^2\right)^2} \, dx","Int[(1 - 3*x + 2*x^2 - x^3)/(x*(1 + x^2)^2),x]","-\frac{2 x+1}{2 \left(x^2+1\right)}-\frac{1}{2} \log \left(x^2+1\right)+\log (x)-2 \tan ^{-1}(x)","-\frac{2 x+1}{2 \left(x^2+1\right)}-\frac{1}{2} \log \left(x^2+1\right)+\log (x)-2 \tan ^{-1}(x)",1,"-(1 + 2*x)/(2*(1 + x^2)) - 2*ArcTan[x] + Log[x] - Log[1 + x^2]/2","A",6,5,26,0.1923,1,"{1805, 801, 635, 203, 260}"
161,1,19,0,0.002733,"\int \frac{1}{\left(1+x^2\right)^2} \, dx","Int[(1 + x^2)^(-2),x]","\frac{x}{2 \left(x^2+1\right)}+\frac{1}{2} \tan ^{-1}(x)","\frac{x}{2 \left(x^2+1\right)}+\frac{1}{2} \tan ^{-1}(x)",1,"x/(2*(1 + x^2)) + ArcTan[x]/2","A",2,2,7,0.2857,1,"{199, 203}"
162,1,19,0,0.0029557,"\int \frac{1}{(-1+x) (2+x)} \, dx","Int[1/((-1 + x)*(2 + x)),x]","\frac{1}{3} \log (1-x)-\frac{1}{3} \log (x+2)","\frac{1}{3} \log (1-x)-\frac{1}{3} \log (x+2)",1,"Log[1 - x]/3 - Log[2 + x]/3","A",3,2,11,0.1818,1,"{36, 31}"
163,1,19,0,0.0066137,"\int \frac{7}{-12+5 x+2 x^2} \, dx","Int[7/(-12 + 5*x + 2*x^2),x]","\frac{7}{11} \log (3-2 x)-\frac{7}{11} \log (x+4)","\frac{7}{11} \log (3-2 x)-\frac{7}{11} \log (x+4)",1,"(7*Log[3 - 2*x])/11 - (7*Log[4 + x])/11","A",4,3,14,0.2143,1,"{12, 616, 31}"
164,1,32,0,0.0258633,"\int \frac{-4+3 x+x^2}{(-1+2 x)^2 (3+2 x)} \, dx","Int[(-4 + 3*x + x^2)/((-1 + 2*x)^2*(3 + 2*x)),x]","-\frac{9}{32 (1-2 x)}+\frac{41}{128} \log (1-2 x)-\frac{25}{128} \log (2 x+3)","-\frac{9}{32 (1-2 x)}+\frac{41}{128} \log (1-2 x)-\frac{25}{128} \log (2 x+3)",1,"-9/(32*(1 - 2*x)) + (41*Log[1 - 2*x])/128 - (25*Log[3 + 2*x])/128","A",2,1,23,0.04348,1,"{893}"
165,1,43,0,0.0422541,"\int \frac{-x^2+x^3}{(-6+x) (3+5 x)^3} \, dx","Int[(-x^2 + x^3)/((-6 + x)*(3 + 5*x)^3),x]","\frac{201}{15125 (5 x+3)}-\frac{12}{1375 (5 x+3)^2}+\frac{20 \log (6-x)}{3993}+\frac{1493 \log (5 x+3)}{499125}","\frac{201}{15125 (5 x+3)}-\frac{12}{1375 (5 x+3)^2}+\frac{20 \log (6-x)}{3993}+\frac{1493 \log (5 x+3)}{499125}",1,"-12/(1375*(3 + 5*x)^2) + 201/(15125*(3 + 5*x)) + (20*Log[6 - x])/3993 + (1493*Log[3 + 5*x])/499125","A",3,2,22,0.09091,1,"{1593, 148}"
166,1,21,0,0.0111957,"\int \frac{1}{-x^3+x^4} \, dx","Int[(-x^3 + x^4)^(-1),x]","\frac{1}{2 x^2}+\frac{1}{x}+\log (1-x)-\log (x)","\frac{1}{2 x^2}+\frac{1}{x}+\log (1-x)-\log (x)",1,"1/(2*x^2) + x^(-1) + Log[1 - x] - Log[x]","A",3,2,11,0.1818,1,"{1593, 44}"
167,1,25,0,0.0501107,"\int \frac{1-x-x^2+x^3+x^4}{-x+x^3} \, dx","Int[(1 - x - x^2 + x^3 + x^4)/(-x + x^3),x]","\frac{x^2}{2}+\frac{1}{2} \log \left(1-x^2\right)+x-\log (x)","\frac{x^2}{2}+\frac{1}{2} \log \left(1-x^2\right)+x-\log (x)",1,"x + x^2/2 - Log[x] + Log[1 - x^2]/2","A",4,3,26,0.1154,1,"{1593, 1802, 260}"
168,1,11,0,0.0118638,"\int \frac{-2+x^2}{x \left(2+x^2\right)} \, dx","Int[(-2 + x^2)/(x*(2 + x^2)),x]","\log \left(x^2+2\right)-\log (x)","\log \left(x^2+2\right)-\log (x)",1,"-Log[x] + Log[2 + x^2]","A",3,2,16,0.1250,1,"{446, 72}"
169,1,36,0,0.1175778,"\int \frac{2-4 x^2+x^3}{\left(1+x^2\right) \left(2+x^2\right)} \, dx","Int[(2 - 4*x^2 + x^3)/((1 + x^2)*(2 + x^2)),x]","-\frac{1}{2} \log \left(x^2+1\right)+\log \left(x^2+2\right)+6 \tan ^{-1}(x)-5 \sqrt{2} \tan ^{-1}\left(\frac{x}{\sqrt{2}}\right)","-\frac{1}{2} \log \left(x^2+1\right)+\log \left(x^2+2\right)+6 \tan ^{-1}(x)-5 \sqrt{2} \tan ^{-1}\left(\frac{x}{\sqrt{2}}\right)",1,"6*ArcTan[x] - 5*Sqrt[2]*ArcTan[x/Sqrt[2]] - Log[1 + x^2]/2 + Log[2 + x^2]","A",8,4,25,0.1600,1,"{6725, 635, 203, 260}"
170,1,29,0,0.1134112,"\int \frac{1+x^2+x^4}{\left(1+x^2\right) \left(4+x^2\right)^2} \, dx","Int[(1 + x^2 + x^4)/((1 + x^2)*(4 + x^2)^2),x]","-\frac{13 x}{24 \left(x^2+4\right)}+\frac{25}{144} \tan ^{-1}\left(\frac{x}{2}\right)+\frac{1}{9} \tan ^{-1}(x)","-\frac{13 x}{24 \left(x^2+4\right)}+\frac{25}{144} \tan ^{-1}\left(\frac{x}{2}\right)+\frac{1}{9} \tan ^{-1}(x)",1,"(-13*x)/(24*(4 + x^2)) + (25*ArcTan[x/2])/144 + ArcTan[x]/9","A",6,3,23,0.1304,1,"{6725, 203, 199}"
171,1,60,0,0.2542166,"\int \frac{1+16 x}{(5+x)^2 (-3+2 x) \left(1+x+x^2\right)} \, dx","Int[(1 + 16*x)/((5 + x)^2*(-3 + 2*x)*(1 + x + x^2)),x]","-\frac{481 \log \left(x^2+x+1\right)}{5586}-\frac{79}{273 (x+5)}+\frac{200 \log (3-2 x)}{3211}+\frac{2731 \log (x+5)}{24843}+\frac{451 \tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)}{2793 \sqrt{3}}","-\frac{481 \log \left(x^2+x+1\right)}{5586}-\frac{79}{273 (x+5)}+\frac{200 \log (3-2 x)}{3211}+\frac{2731 \log (x+5)}{24843}+\frac{451 \tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)}{2793 \sqrt{3}}",1,"-79/(273*(5 + x)) + (451*ArcTan[(1 + 2*x)/Sqrt[3]])/(2793*Sqrt[3]) + (200*Log[3 - 2*x])/3211 + (2731*Log[5 + x])/24843 - (481*Log[1 + x + x^2])/5586","A",6,5,26,0.1923,1,"{6728, 634, 618, 204, 628}"
172,1,37,0,0.0082532,"\int \frac{x^4}{\left(9+x^2\right)^3} \, dx","Int[x^4/(9 + x^2)^3,x]","-\frac{x^3}{4 \left(x^2+9\right)^2}-\frac{3 x}{8 \left(x^2+9\right)}+\frac{1}{8} \tan ^{-1}\left(\frac{x}{3}\right)","-\frac{x^3}{4 \left(x^2+9\right)^2}-\frac{3 x}{8 \left(x^2+9\right)}+\frac{1}{8} \tan ^{-1}\left(\frac{x}{3}\right)",1,"-x^3/(4*(9 + x^2)^2) - (3*x)/(8*(9 + x^2)) + ArcTan[x/3]/8","A",3,2,11,0.1818,1,"{288, 203}"
173,1,97,0,0.0768091,"\int \frac{19 x}{(-1+x)^3 \left(3+5 x+4 x^2\right)^2} \, dx","Int[(19*x)/((-1 + x)^3*(3 + 5*x + 4*x^2)^2),x]","\frac{19 (44 x+39)}{276 (1-x)^2 \left(4 x^2+5 x+3\right)}-\frac{209 \log \left(4 x^2+5 x+3\right)}{4608}-\frac{1843}{4416 (1-x)}-\frac{399}{736 (1-x)^2}+\frac{209 \log (1-x)}{2304}+\frac{114437 \tan ^{-1}\left(\frac{8 x+5}{\sqrt{23}}\right)}{52992 \sqrt{23}}","\frac{19 (44 x+39)}{276 (1-x)^2 \left(4 x^2+5 x+3\right)}-\frac{209 \log \left(4 x^2+5 x+3\right)}{4608}-\frac{1843}{4416 (1-x)}-\frac{399}{736 (1-x)^2}+\frac{209 \log (1-x)}{2304}+\frac{114437 \tan ^{-1}\left(\frac{8 x+5}{\sqrt{23}}\right)}{52992 \sqrt{23}}",1,"-399/(736*(1 - x)^2) - 1843/(4416*(1 - x)) + (19*(39 + 44*x))/(276*(1 - x)^2*(3 + 5*x + 4*x^2)) + (114437*ArcTan[(5 + 8*x)/Sqrt[23]])/(52992*Sqrt[23]) + (209*Log[1 - x])/2304 - (209*Log[3 + 5*x + 4*x^2])/4608","A",8,7,20,0.3500,1,"{12, 822, 800, 634, 618, 204, 628}"
174,1,46,0,0.0592398,"\int \frac{1+x^2+x^3}{2 x^2+x^3+x^4} \, dx","Int[(1 + x^2 + x^3)/(2*x^2 + x^3 + x^4),x]","\frac{5}{8} \log \left(x^2+x+2\right)-\frac{1}{2 x}-\frac{\log (x)}{4}+\frac{\tan ^{-1}\left(\frac{2 x+1}{\sqrt{7}}\right)}{4 \sqrt{7}}","\frac{5}{8} \log \left(x^2+x+2\right)-\frac{1}{2 x}-\frac{\log (x)}{4}+\frac{\tan ^{-1}\left(\frac{2 x+1}{\sqrt{7}}\right)}{4 \sqrt{7}}",1,"-1/(2*x) + ArcTan[(1 + 2*x)/Sqrt[7]]/(4*Sqrt[7]) - Log[x]/4 + (5*Log[2 + x + x^2])/8","A",7,6,23,0.2609,1,"{1594, 1628, 634, 618, 204, 628}"
175,1,48,0,0.0239909,"\int \frac{1}{-x^3+x^6} \, dx","Int[(-x^3 + x^6)^(-1),x]","\frac{1}{2 x^2}-\frac{1}{6} \log \left(x^2+x+1\right)+\frac{1}{3} \log (1-x)-\frac{\tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)}{\sqrt{3}}","\frac{1}{2 x^2}-\frac{1}{6} \log \left(x^2+x+1\right)+\frac{1}{3} \log (1-x)-\frac{\tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)}{\sqrt{3}}",1,"1/(2*x^2) - ArcTan[(1 + 2*x)/Sqrt[3]]/Sqrt[3] + Log[1 - x]/3 - Log[1 + x + x^2]/6","A",8,8,11,0.7273,1,"{1593, 325, 200, 31, 634, 618, 204, 628}"
176,1,15,0,0.00575,"\int \frac{x^2}{1+x} \, dx","Int[x^2/(1 + x),x]","\frac{x^2}{2}-x+\log (x+1)","\frac{x^2}{2}-x+\log (x+1)",1,"-x + x^2/2 + Log[1 + x]","A",2,1,9,0.1111,1,"{43}"
177,1,10,0,0.0044039,"\int \frac{x}{-5+x} \, dx","Int[x/(-5 + x),x]","x+5 \log (5-x)","x+5 \log (5-x)",1,"x + 5*Log[5 - x]","A",2,1,7,0.1429,1,"{43}"
178,1,13,0,0.0057979,"\int \frac{-1+4 x}{(-1+x) (2+x)} \, dx","Int[(-1 + 4*x)/((-1 + x)*(2 + x)),x]","\log (1-x)+3 \log (x+2)","\log (1-x)+3 \log (x+2)",1,"Log[1 - x] + 3*Log[2 + x]","A",2,1,16,0.06250,1,"{72}"
179,1,11,0,0.0014919,"\int \frac{1}{(1+x) (2+x)} \, dx","Int[1/((1 + x)*(2 + x)),x]","\log (x+1)-\log (x+2)","\log (x+1)-\log (x+2)",1,"Log[1 + x] - Log[2 + x]","A",3,2,11,0.1818,1,"{36, 31}"
180,1,12,0,0.005847,"\int \frac{-5+6 x}{3+2 x} \, dx","Int[(-5 + 6*x)/(3 + 2*x),x]","3 x-7 \log (2 x+3)","3 x-7 \log (2 x+3)",1,"3*x - 7*Log[3 + 2*x]","A",2,1,13,0.07692,1,"{43}"
181,1,26,0,0.0057296,"\int \frac{1}{(a+x) (b+x)} \, dx","Int[1/((a + x)*(b + x)),x]","\frac{\log (b+x)}{a-b}-\frac{\log (a+x)}{a-b}","\frac{\log (b+x)}{a-b}-\frac{\log (a+x)}{a-b}",1,"-(Log[a + x]/(a - b)) + Log[b + x]/(a - b)","A",3,2,11,0.1818,1,"{36, 31}"
182,1,14,0,0.017737,"\int \frac{1+x^2}{-x+x^2} \, dx","Int[(1 + x^2)/(-x + x^2),x]","x+2 \log (1-x)-\log (x)","x+2 \log (1-x)-\log (x)",1,"x + 2*Log[1 - x] - Log[x]","A",3,2,15,0.1333,1,"{1593, 894}"
183,1,26,0,0.0159258,"\int \frac{1-12 x+x^2+x^3}{-12+x+x^2} \, dx","Int[(1 - 12*x + x^2 + x^3)/(-12 + x + x^2),x]","\frac{x^2}{2}+\frac{1}{7} \log (3-x)-\frac{1}{7} \log (x+4)","\frac{x^2}{2}+\frac{1}{7} \log (3-x)-\frac{1}{7} \log (x+4)",1,"x^2/2 + Log[3 - x]/7 - Log[4 + x]/7","A",5,3,20,0.1500,1,"{1657, 616, 31}"
184,1,14,0,0.0053683,"\int \frac{3+2 x}{(1+x)^2} \, dx","Int[(3 + 2*x)/(1 + x)^2,x]","2 \log (x+1)-\frac{1}{x+1}","2 \log (x+1)-\frac{1}{x+1}",1,"-(1 + x)^(-1) + 2*Log[1 + x]","A",2,1,11,0.09091,1,"{43}"
185,1,23,0,0.0080618,"\int \frac{1}{x (1+x) (3+2 x)} \, dx","Int[1/(x*(1 + x)*(3 + 2*x)),x]","\frac{\log (x)}{3}-\log (x+1)+\frac{2}{3} \log (2 x+3)","\frac{\log (x)}{3}-\log (x+1)+\frac{2}{3} \log (2 x+3)",1,"Log[x]/3 - Log[1 + x] + (2*Log[3 + 2*x])/3","A",2,1,16,0.06250,1,"{72}"
186,1,17,0,0.0398629,"\int \frac{-3+5 x+6 x^2}{-3 x+2 x^2+x^3} \, dx","Int[(-3 + 5*x + 6*x^2)/(-3*x + 2*x^2 + x^3),x]","2 \log (1-x)+\log (x)+3 \log (x+3)","2 \log (1-x)+\log (x)+3 \log (x+3)",1,"2*Log[1 - x] + Log[x] + 3*Log[3 + x]","A",3,2,25,0.08000,1,"{1594, 1628}"
187,1,12,0,0.005216,"\int \frac{x}{4+4 x+x^2} \, dx","Int[x/(4 + 4*x + x^2),x]","\frac{2}{x+2}+\log (x+2)","\frac{2}{x+2}+\log (x+2)",1,"2/(2 + x) + Log[2 + x]","A",3,2,12,0.1667,1,"{27, 43}"
188,1,30,0,0.009743,"\int \frac{1}{(-1+x)^2 (4+x)} \, dx","Int[1/((-1 + x)^2*(4 + x)),x]","\frac{1}{5 (1-x)}-\frac{1}{25} \log (1-x)+\frac{1}{25} \log (x+4)","\frac{1}{5 (1-x)}-\frac{1}{25} \log (1-x)+\frac{1}{25} \log (x+4)",1,"1/(5*(1 - x)) - Log[1 - x]/25 + Log[4 + x]/25","A",2,1,11,0.09091,1,"{44}"
189,1,28,0,0.0100071,"\int \frac{x^2}{(-3+x) (2+x)^2} \, dx","Int[x^2/((-3 + x)*(2 + x)^2),x]","\frac{4}{5 (x+2)}+\frac{9}{25} \log (3-x)+\frac{16}{25} \log (x+2)","\frac{4}{5 (x+2)}+\frac{9}{25} \log (3-x)+\frac{16}{25} \log (x+2)",1,"4/(5*(2 + x)) + (9*Log[3 - x])/25 + (16*Log[2 + x])/25","A",2,1,14,0.07143,1,"{88}"
190,1,14,0,0.0233708,"\int \frac{-2+3 x+5 x^2}{2 x^2+x^3} \, dx","Int[(-2 + 3*x + 5*x^2)/(2*x^2 + x^3),x]","\frac{1}{x}+2 \log (x)+3 \log (x+2)","\frac{1}{x}+2 \log (x)+3 \log (x+2)",1,"x^(-1) + 2*Log[x] + 3*Log[2 + x]","A",3,2,22,0.09091,1,"{1593, 893}"
191,1,19,0,0.0267347,"\int \frac{18-2 x-4 x^2}{-6+x+4 x^2+x^3} \, dx","Int[(18 - 2*x - 4*x^2)/(-6 + x + 4*x^2 + x^3),x]","\log (1-x)-2 \log (x+2)-3 \log (x+3)","\log (1-x)-2 \log (x+2)-3 \log (x+3)",1,"Log[1 - x] - 2*Log[2 + x] - 3*Log[3 + x]","A",2,1,24,0.04167,1,"{2074}"
192,1,15,0,0.0090738,"\int \frac{2 x+x^2}{4+3 x^2+x^3} \, dx","Int[(2*x + x^2)/(4 + 3*x^2 + x^3),x]","\frac{1}{3} \log \left(x^3+3 x^2+4\right)","\frac{1}{3} \log \left(x^3+3 x^2+4\right)",1,"Log[4 + 3*x^2 + x^3]/3","A",1,1,20,0.05000,1,"{1587}"
193,1,25,0,0.0082479,"\int \frac{1}{(-1+x)^2 x^2} \, dx","Int[1/((-1 + x)^2*x^2),x]","\frac{1}{1-x}-\frac{1}{x}-2 \log (1-x)+2 \log (x)","\frac{1}{1-x}-\frac{1}{x}-2 \log (1-x)+2 \log (x)",1,"(1 - x)^(-1) - x^(-1) - 2*Log[1 - x] + 2*Log[x]","A",2,1,9,0.1111,1,"{44}"
194,1,21,0,0.0072975,"\int \frac{x^2}{(1+x)^3} \, dx","Int[x^2/(1 + x)^3,x]","\frac{2}{x+1}-\frac{1}{2 (x+1)^2}+\log (x+1)","\frac{2}{x+1}-\frac{1}{2 (x+1)^2}+\log (x+1)",1,"-1/(2*(1 + x)^2) + 2/(1 + x) + Log[1 + x]","A",2,1,9,0.1111,1,"{43}"
195,1,8,0,0.0052763,"\int \frac{1}{-x^2+x^4} \, dx","Int[(-x^2 + x^4)^(-1),x]","\frac{1}{x}-\tanh ^{-1}(x)","\frac{1}{x}-\tanh ^{-1}(x)",1,"x^(-1) - ArcTanh[x]","A",3,3,11,0.2727,1,"{1593, 325, 207}"
196,1,15,0,0.0092598,"\int \frac{-x+2 x^3}{1-x^2+x^4} \, dx","Int[(-x + 2*x^3)/(1 - x^2 + x^4),x]","\frac{1}{2} \log \left(x^4-x^2+1\right)","\frac{1}{2} \log \left(x^4-x^2+1\right)",1,"Log[1 - x^2 + x^4]/2","A",1,1,22,0.04545,1,"{1587}"
197,1,18,0,0.0075449,"\int \frac{x^3}{1+x^2} \, dx","Int[x^3/(1 + x^2),x]","\frac{x^2}{2}-\frac{1}{2} \log \left(x^2+1\right)","\frac{x^2}{2}-\frac{1}{2} \log \left(x^2+1\right)",1,"x^2/2 - Log[1 + x^2]/2","A",3,2,11,0.1818,1,"{266, 43}"
198,1,20,0,0.0090319,"\int \frac{-1+x}{2+2 x+x^2} \, dx","Int[(-1 + x)/(2 + 2*x + x^2),x]","\frac{1}{2} \log \left(x^2+2 x+2\right)-2 \tan ^{-1}(x+1)","\frac{1}{2} \log \left(x^2+2 x+2\right)-2 \tan ^{-1}(x+1)",1,"-2*ArcTan[1 + x] + Log[2 + 2*x + x^2]/2","A",4,4,14,0.2857,1,"{634, 617, 204, 628}"
199,1,31,0,0.0144767,"\int \frac{x}{1+x+x^2} \, dx","Int[x/(1 + x + x^2),x]","\frac{1}{2} \log \left(x^2+x+1\right)-\frac{\tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)}{\sqrt{3}}","\frac{1}{2} \log \left(x^2+x+1\right)-\frac{\tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)}{\sqrt{3}}",1,"-(ArcTan[(1 + 2*x)/Sqrt[3]]/Sqrt[3]) + Log[1 + x + x^2]/2","A",4,4,10,0.4000,1,"{634, 618, 204, 628}"
200,1,27,0,0.0247256,"\int \frac{7+5 x+4 x^2}{5+4 x+4 x^2} \, dx","Int[(7 + 5*x + 4*x^2)/(5 + 4*x + 4*x^2),x]","\frac{1}{8} \log \left(4 x^2+4 x+5\right)+x+\frac{3}{8} \tan ^{-1}\left(x+\frac{1}{2}\right)","\frac{1}{8} \log \left(4 x^2+4 x+5\right)+x+\frac{3}{8} \tan ^{-1}\left(x+\frac{1}{2}\right)",1,"x + (3*ArcTan[1/2 + x])/8 + Log[5 + 4*x + 4*x^2]/8","A",6,5,23,0.2174,1,"{1657, 634, 618, 204, 628}"
201,1,23,0,0.0346737,"\int \frac{5-4 x+3 x^2}{(-1+x) \left(1+x^2\right)} \, dx","Int[(5 - 4*x + 3*x^2)/((-1 + x)*(1 + x^2)),x]","\frac{1}{2} \log \left(x^2+1\right)+2 \log (1-x)-3 \tan ^{-1}(x)","\frac{1}{2} \log \left(x^2+1\right)+2 \log (1-x)-3 \tan ^{-1}(x)",1,"-3*ArcTan[x] + 2*Log[1 - x] + Log[1 + x^2]/2","A",5,4,23,0.1739,1,"{1629, 635, 203, 260}"
202,1,28,0,0.0224832,"\int \frac{3+2 x}{3 x+x^3} \, dx","Int[(3 + 2*x)/(3*x + x^3),x]","-\frac{1}{2} \log \left(x^2+3\right)+\log (x)+\frac{2 \tan ^{-1}\left(\frac{x}{\sqrt{3}}\right)}{\sqrt{3}}","-\frac{1}{2} \log \left(x^2+3\right)+\log (x)+\frac{2 \tan ^{-1}\left(\frac{x}{\sqrt{3}}\right)}{\sqrt{3}}",1,"(2*ArcTan[x/Sqrt[3]])/Sqrt[3] + Log[x] - Log[3 + x^2]/2","A",6,5,15,0.3333,1,"{1593, 801, 635, 203, 260}"
203,1,41,0,0.0199682,"\int \frac{1}{-1+x^3} \, dx","Int[(-1 + x^3)^(-1),x]","-\frac{1}{6} \log \left(x^2+x+1\right)+\frac{1}{3} \log (1-x)-\frac{\tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)}{\sqrt{3}}","-\frac{1}{6} \log \left(x^2+x+1\right)+\frac{1}{3} \log (1-x)-\frac{\tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)}{\sqrt{3}}",1,"-(ArcTan[(1 + 2*x)/Sqrt[3]]/Sqrt[3]) + Log[1 - x]/3 - Log[1 + x + x^2]/6","A",6,6,7,0.8571,1,"{200, 31, 634, 618, 204, 628}"
204,1,41,0,0.0238205,"\int \frac{x^3}{1+x^3} \, dx","Int[x^3/(1 + x^3),x]","\frac{1}{6} \log \left(x^2-x+1\right)+x-\frac{1}{3} \log (x+1)+\frac{\tan ^{-1}\left(\frac{1-2 x}{\sqrt{3}}\right)}{\sqrt{3}}","\frac{1}{6} \log \left(x^2-x+1\right)+x-\frac{1}{3} \log (x+1)+\frac{\tan ^{-1}\left(\frac{1-2 x}{\sqrt{3}}\right)}{\sqrt{3}}",1,"x + ArcTan[(1 - 2*x)/Sqrt[3]]/Sqrt[3] - Log[1 + x]/3 + Log[1 - x + x^2]/6","A",7,7,11,0.6364,1,"{321, 200, 31, 634, 618, 204, 628}"
205,1,24,0,0.0344154,"\int \frac{-1-2 x+x^2}{(-1+x)^2 \left(1+x^2\right)} \, dx","Int[(-1 - 2*x + x^2)/((-1 + x)^2*(1 + x^2)),x]","-\frac{1}{2} \log \left(x^2+1\right)+\frac{1}{x-1}+\log (1-x)+\tan ^{-1}(x)","-\frac{1}{2} \log \left(x^2+1\right)+\frac{1}{x-1}+\log (1-x)+\tan ^{-1}(x)",1,"(-1 + x)^(-1) + ArcTan[x] + Log[1 - x] - Log[1 + x^2]/2","A",5,4,21,0.1905,1,"{1629, 635, 203, 260}"
206,1,14,0,0.0063513,"\int \frac{x^4}{-1+x^4} \, dx","Int[x^4/(-1 + x^4),x]","x-\frac{1}{2} \tan ^{-1}(x)-\frac{1}{2} \tanh ^{-1}(x)","x-\frac{1}{2} \tan ^{-1}(x)-\frac{1}{2} \tanh ^{-1}(x)",1,"x - ArcTan[x]/2 - ArcTanh[x]/2","A",4,4,11,0.3636,1,"{321, 212, 206, 203}"
207,1,29,0,0.1139923,"\int \frac{-4+6 x-x^2+3 x^3}{\left(1+x^2\right) \left(2+x^2\right)} \, dx","Int[(-4 + 6*x - x^2 + 3*x^3)/((1 + x^2)*(2 + x^2)),x]","\frac{3}{2} \log \left(x^2+1\right)-3 \tan ^{-1}(x)+\sqrt{2} \tan ^{-1}\left(\frac{x}{\sqrt{2}}\right)","\frac{3}{2} \log \left(x^2+1\right)-3 \tan ^{-1}(x)+\sqrt{2} \tan ^{-1}\left(\frac{x}{\sqrt{2}}\right)",1,"-3*ArcTan[x] + Sqrt[2]*ArcTan[x/Sqrt[2]] + (3*Log[1 + x^2])/2","A",6,4,30,0.1333,1,"{6725, 635, 203, 260}"
208,1,23,0,0.0309383,"\int \frac{1+x-2 x^2+x^3}{4+5 x^2+x^4} \, dx","Int[(1 + x - 2*x^2 + x^3)/(4 + 5*x^2 + x^4),x]","\frac{1}{2} \log \left(x^2+4\right)-\frac{3}{2} \tan ^{-1}\left(\frac{x}{2}\right)+\tan ^{-1}(x)","\frac{1}{2} \log \left(x^2+4\right)-\frac{3}{2} \tan ^{-1}\left(\frac{x}{2}\right)+\tan ^{-1}(x)",1,"(-3*ArcTan[x/2])/2 + ArcTan[x] + Log[4 + x^2]/2","A",7,6,24,0.2500,1,"{1673, 1166, 203, 1247, 626, 31}"
209,1,39,0,0.0141822,"\int \frac{-3+x}{\left(4+2 x+x^2\right)^2} \, dx","Int[(-3 + x)/(4 + 2*x + x^2)^2,x]","-\frac{4 x+7}{6 \left(x^2+2 x+4\right)}-\frac{2 \tan ^{-1}\left(\frac{x+1}{\sqrt{3}}\right)}{3 \sqrt{3}}","-\frac{4 x+7}{6 \left(x^2+2 x+4\right)}-\frac{2 \tan ^{-1}\left(\frac{x+1}{\sqrt{3}}\right)}{3 \sqrt{3}}",1,"-(7 + 4*x)/(6*(4 + 2*x + x^2)) - (2*ArcTan[(1 + x)/Sqrt[3]])/(3*Sqrt[3])","A",3,3,14,0.2143,1,"{638, 618, 204}"
210,1,10,0,0.0166967,"\int \frac{1+x^4}{x \left(1+x^2\right)^2} \, dx","Int[(1 + x^4)/(x*(1 + x^2)^2),x]","\frac{1}{x^2+1}+\log (x)","\frac{1}{x^2+1}+\log (x)",1,"(1 + x^2)^(-1) + Log[x]","A",3,2,16,0.1250,1,"{1252, 894}"
211,1,11,0,0.047502,"\int \frac{\cos (x) (-3+2 \sin (x))}{2-3 \sin (x)+\sin ^2(x)} \, dx","Int[(Cos[x]*(-3 + 2*Sin[x]))/(2 - 3*Sin[x] + Sin[x]^2),x]","\log \left(\sin ^2(x)-3 \sin (x)+2\right)","\log \left(\sin ^2(x)-3 \sin (x)+2\right)",1,"Log[2 - 3*Sin[x] + Sin[x]^2]","A",2,2,21,0.09524,1,"{4334, 628}"
212,1,20,0,0.0517718,"\int \frac{\cos ^2(x) \sin (x)}{5+\cos ^2(x)} \, dx","Int[(Cos[x]^2*Sin[x])/(5 + Cos[x]^2),x]","\sqrt{5} \tan ^{-1}\left(\frac{\cos (x)}{\sqrt{5}}\right)-\cos (x)","\sqrt{5} \tan ^{-1}\left(\frac{\cos (x)}{\sqrt{5}}\right)-\cos (x)",1,"Sqrt[5]*ArcTan[Cos[x]/Sqrt[5]] - Cos[x]","A",3,3,15,0.2000,1,"{4335, 321, 203}"
213,1,19,0,0.0037085,"\int \frac{1}{-3+2 x+x^2} \, dx","Int[(-3 + 2*x + x^2)^(-1),x]","\frac{1}{4} \log (1-x)-\frac{1}{4} \log (x+3)","\frac{1}{4} \log (1-x)-\frac{1}{4} \log (x+3)",1,"Log[1 - x]/4 - Log[3 + x]/4","A",3,2,10,0.2000,1,"{616, 31}"
214,1,17,0,0.0020595,"\int \frac{1}{-2 x+x^2} \, dx","Int[(-2*x + x^2)^(-1),x]","\frac{1}{2} \log (2-x)-\frac{\log (x)}{2}","\frac{1}{2} \log (2-x)-\frac{\log (x)}{2}",1,"Log[2 - x]/2 - Log[x]/2","A",1,1,9,0.1111,1,"{615}"
215,1,21,0,0.0054708,"\int \frac{1+2 x}{-7+12 x+4 x^2} \, dx","Int[(1 + 2*x)/(-7 + 12*x + 4*x^2),x]","\frac{1}{8} \log (1-2 x)+\frac{3}{8} \log (2 x+7)","\frac{1}{8} \log (1-2 x)+\frac{3}{8} \log (2 x+7)",1,"Log[1 - 2*x]/8 + (3*Log[7 + 2*x])/8","A",3,2,18,0.1111,1,"{632, 31}"
216,1,49,0,0.0117783,"\int \frac{x}{-1+x+x^2} \, dx","Int[x/(-1 + x + x^2),x]","\frac{1}{10} \left(5-\sqrt{5}\right) \log \left(2 x-\sqrt{5}+1\right)+\frac{1}{10} \left(5+\sqrt{5}\right) \log \left(2 x+\sqrt{5}+1\right)","\frac{1}{10} \left(5-\sqrt{5}\right) \log \left(2 x-\sqrt{5}+1\right)+\frac{1}{10} \left(5+\sqrt{5}\right) \log \left(2 x+\sqrt{5}+1\right)",1,"((5 - Sqrt[5])*Log[1 - Sqrt[5] + 2*x])/10 + ((5 + Sqrt[5])*Log[1 + Sqrt[5] + 2*x])/10","A",3,2,10,0.2000,1,"{632, 31}"
217,1,63,0,0.0867445,"\int \frac{-32+5 x-27 x^2+4 x^3}{-70-299 x-286 x^2+50 x^3-13 x^4+30 x^5} \, dx","Int[(-32 + 5*x - 27*x^2 + 4*x^3)/(-70 - 299*x - 286*x^2 + 50*x^3 - 13*x^4 + 30*x^5),x]","\frac{11049 \log \left(x^2+x+5\right)}{260015}-\frac{3146 \log (7-3 x)}{80155}-\frac{334}{323} \log (2 x+1)+\frac{4822 \log (5 x+2)}{4879}+\frac{3988 \tan ^{-1}\left(\frac{2 x+1}{\sqrt{19}}\right)}{13685 \sqrt{19}}","\frac{11049 \log \left(x^2+x+5\right)}{260015}-\frac{3146 \log (7-3 x)}{80155}-\frac{334}{323} \log (2 x+1)+\frac{4822 \log (5 x+2)}{4879}+\frac{3988 \tan ^{-1}\left(\frac{2 x+1}{\sqrt{19}}\right)}{13685 \sqrt{19}}",1,"(3988*ArcTan[(1 + 2*x)/Sqrt[19]])/(13685*Sqrt[19]) - (3146*Log[7 - 3*x])/80155 - (334*Log[1 + 2*x])/323 + (4822*Log[2 + 5*x])/4879 + (11049*Log[5 + x + x^2])/260015","A",6,5,43,0.1163,1,"{2074, 634, 618, 204, 628}"
218,1,86,0,0.0978061,"\int \frac{8-13 x^2-7 x^3+12 x^5}{4-20 x+41 x^2-80 x^3+116 x^4-80 x^5+100 x^6} \, dx","Int[(8 - 13*x^2 - 7*x^3 + 12*x^5)/(4 - 20*x + 41*x^2 - 80*x^3 + 116*x^4 - 80*x^5 + 100*x^6),x]","-\frac{502 x+313}{1452 \left(2 x^2+1\right)}+\frac{2843 \log \left(2 x^2+1\right)}{7986}+\frac{5828}{9075 (2-5 x)}-\frac{59096 \log (2-5 x)}{99825}+\frac{272 \sqrt{2} \tan ^{-1}\left(\sqrt{2} x\right)}{1331}-\frac{251 \tan ^{-1}\left(\sqrt{2} x\right)}{726 \sqrt{2}}","-\frac{502 x+313}{1452 \left(2 x^2+1\right)}+\frac{2843 \log \left(2 x^2+1\right)}{7986}+\frac{5828}{9075 (2-5 x)}-\frac{59096 \log (2-5 x)}{99825}+\frac{272 \sqrt{2} \tan ^{-1}\left(\sqrt{2} x\right)}{1331}-\frac{251 \tan ^{-1}\left(\sqrt{2} x\right)}{726 \sqrt{2}}",1,"5828/(9075*(2 - 5*x)) - (313 + 502*x)/(1452*(1 + 2*x^2)) - (251*ArcTan[Sqrt[2]*x])/(726*Sqrt[2]) + (272*Sqrt[2]*ArcTan[Sqrt[2]*x])/1331 - (59096*Log[2 - 5*x])/99825 + (2843*Log[1 + 2*x^2])/7986","A",7,5,50,0.1000,1,"{2074, 639, 203, 635, 260}"
219,1,24,0,0.0054734,"\int \frac{\sqrt{4+x}}{x} \, dx","Int[Sqrt[4 + x]/x,x]","2 \sqrt{x+4}-4 \tanh ^{-1}\left(\frac{\sqrt{x+4}}{2}\right)","2 \sqrt{x+4}-4 \tanh ^{-1}\left(\frac{\sqrt{x+4}}{2}\right)",1,"2*Sqrt[4 + x] - 4*ArcTanh[Sqrt[4 + x]/2]","A",3,3,11,0.2727,1,"{50, 63, 207}"
220,1,200,0,0.3778681,"\int \frac{1}{-\frac{1}{\sqrt[3]{x}}+\sqrt{x}} \, dx","Int[(-x^(-1/3) + Sqrt[x])^(-1),x]","2 \sqrt{x}+\frac{6}{5} \log \left(1-\sqrt[6]{x}\right)-\frac{3}{10} \left(1+\sqrt{5}\right) \log \left(2 \sqrt[3]{x}-\sqrt{5} \sqrt[6]{x}+\sqrt[6]{x}+2\right)-\frac{3}{10} \left(1-\sqrt{5}\right) \log \left(2 \sqrt[3]{x}+\sqrt{5} \sqrt[6]{x}+\sqrt[6]{x}+2\right)+\frac{3}{5} \sqrt{2 \left(5-\sqrt{5}\right)} \tan ^{-1}\left(\frac{4 \sqrt[6]{x}-\sqrt{5}+1}{\sqrt{2 \left(5+\sqrt{5}\right)}}\right)-\frac{3}{5} \sqrt{2 \left(5+\sqrt{5}\right)} \tan ^{-1}\left(\frac{1}{2} \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} \left(4 \sqrt[6]{x}+\sqrt{5}+1\right)\right)","2 \sqrt{x}+\frac{6}{5} \log \left(1-\sqrt[6]{x}\right)-\frac{3}{10} \left(1+\sqrt{5}\right) \log \left(2 \sqrt[3]{x}-\sqrt{5} \sqrt[6]{x}+\sqrt[6]{x}+2\right)-\frac{3}{10} \left(1-\sqrt{5}\right) \log \left(2 \sqrt[3]{x}+\sqrt{5} \sqrt[6]{x}+\sqrt[6]{x}+2\right)+\frac{3}{5} \sqrt{2 \left(5-\sqrt{5}\right)} \tan ^{-1}\left(\frac{4 \sqrt[6]{x}-\sqrt{5}+1}{\sqrt{2 \left(5+\sqrt{5}\right)}}\right)-\frac{3}{5} \sqrt{2 \left(5+\sqrt{5}\right)} \tan ^{-1}\left(\frac{1}{2} \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} \left(4 \sqrt[6]{x}+\sqrt{5}+1\right)\right)",1,"2*Sqrt[x] + (3*Sqrt[2*(5 - Sqrt[5])]*ArcTan[(1 - Sqrt[5] + 4*x^(1/6))/Sqrt[2*(5 + Sqrt[5])]])/5 - (3*Sqrt[2*(5 + Sqrt[5])]*ArcTan[(Sqrt[(5 + Sqrt[5])/10]*(1 + Sqrt[5] + 4*x^(1/6)))/2])/5 + (6*Log[1 - x^(1/6)])/5 - (3*(1 + Sqrt[5])*Log[2 + x^(1/6) - Sqrt[5]*x^(1/6) + 2*x^(1/3)])/10 - (3*(1 - Sqrt[5])*Log[2 + x^(1/6) + Sqrt[5]*x^(1/6) + 2*x^(1/3)])/10","A",9,9,15,0.6000,1,"{1593, 341, 321, 294, 634, 618, 204, 628, 31}"
221,1,18,0,0.0120571,"\int \frac{1}{-4 \cos (x)+3 \sin (x)} \, dx","Int[(-4*Cos[x] + 3*Sin[x])^(-1),x]","-\frac{1}{5} \tanh ^{-1}\left(\frac{1}{5} (4 \sin (x)+3 \cos (x))\right)","-\frac{1}{5} \tanh ^{-1}\left(\frac{1}{5} (4 \sin (x)+3 \cos (x))\right)",1,"-ArcTanh[(3*Cos[x] + 4*Sin[x])/5]/5","A",2,2,11,0.1818,1,"{3074, 206}"
222,1,18,0,0.0059158,"\int \frac{1}{1+\sqrt{x}} \, dx","Int[(1 + Sqrt[x])^(-1),x]","2 \sqrt{x}-2 \log \left(\sqrt{x}+1\right)","2 \sqrt{x}-2 \log \left(\sqrt{x}+1\right)",1,"2*Sqrt[x] - 2*Log[1 + Sqrt[x]]","A",3,2,9,0.2222,1,"{190, 43}"
223,1,32,0,0.0132232,"\int \frac{1}{1+\frac{1}{\sqrt[3]{x}}} \, dx","Int[(1 + x^(-1/3))^(-1),x]","-\frac{3 x^{2/3}}{2}+x+3 \sqrt[3]{x}-3 \log \left(\frac{1}{\sqrt[3]{x}}+1\right)-\log (x)","-\frac{3 x^{2/3}}{2}+x+3 \sqrt[3]{x}-3 \log \left(\frac{1}{\sqrt[3]{x}}+1\right)-\log (x)",1,"3*x^(1/3) - (3*x^(2/3))/2 + x - 3*Log[1 + x^(-1/3)] - Log[x]","A",3,2,9,0.2222,1,"{190, 44}"
224,1,16,0,0.0030161,"\int \frac{\sqrt{x}}{1+x} \, dx","Int[Sqrt[x]/(1 + x),x]","2 \sqrt{x}-2 \tan ^{-1}\left(\sqrt{x}\right)","2 \sqrt{x}-2 \tan ^{-1}\left(\sqrt{x}\right)",1,"2*Sqrt[x] - 2*ArcTan[Sqrt[x]]","A",3,3,11,0.2727,1,"{50, 63, 203}"
225,1,10,0,0.0030611,"\int \frac{1}{x \sqrt{1+x}} \, dx","Int[1/(x*Sqrt[1 + x]),x]","-2 \tanh ^{-1}\left(\sqrt{x+1}\right)","-2 \tanh ^{-1}\left(\sqrt{x+1}\right)",1,"-2*ArcTanh[Sqrt[1 + x]]","A",2,2,11,0.1818,1,"{63, 207}"
226,1,14,0,0.00433,"\int \frac{1}{-\sqrt[3]{x}+x} \, dx","Int[(-x^(1/3) + x)^(-1),x]","\frac{3}{2} \log \left(1-x^{2/3}\right)","\frac{3}{2} \log \left(1-x^{2/3}\right)",1,"(3*Log[1 - x^(2/3)])/2","A",2,2,11,0.1818,1,"{1593, 260}"
227,1,31,0,0.0225466,"\int \frac{1}{x-\sqrt{2+x}} \, dx","Int[(x - Sqrt[2 + x])^(-1),x]","\frac{4}{3} \log \left(2-\sqrt{x+2}\right)+\frac{2}{3} \log \left(\sqrt{x+2}+1\right)","\frac{4}{3} \log \left(2-\sqrt{x+2}\right)+\frac{2}{3} \log \left(\sqrt{x+2}+1\right)",1,"(4*Log[2 - Sqrt[2 + x]])/3 + (2*Log[1 + Sqrt[2 + x]])/3","A",4,2,13,0.1538,1,"{632, 31}"
228,1,32,0,0.0054953,"\int \frac{x^2}{\sqrt{-1+x}} \, dx","Int[x^2/Sqrt[-1 + x],x]","\frac{2}{5} (x-1)^{5/2}+\frac{4}{3} (x-1)^{3/2}+2 \sqrt{x-1}","\frac{2}{5} (x-1)^{5/2}+\frac{4}{3} (x-1)^{3/2}+2 \sqrt{x-1}",1,"2*Sqrt[-1 + x] + (4*(-1 + x)^(3/2))/3 + (2*(-1 + x)^(5/2))/5","A",2,1,11,0.09091,1,"{43}"
229,1,31,0,0.0080735,"\int \frac{\sqrt{-1+x}}{1+x} \, dx","Int[Sqrt[-1 + x]/(1 + x),x]","2 \sqrt{x-1}-2 \sqrt{2} \tan ^{-1}\left(\frac{\sqrt{x-1}}{\sqrt{2}}\right)","2 \sqrt{x-1}-2 \sqrt{2} \tan ^{-1}\left(\frac{\sqrt{x-1}}{\sqrt{2}}\right)",1,"2*Sqrt[-1 + x] - 2*Sqrt[2]*ArcTan[Sqrt[-1 + x]/Sqrt[2]]","A",3,3,13,0.2308,1,"{50, 63, 203}"
230,1,29,0,0.0073292,"\int \frac{1}{\sqrt{1+\sqrt{x}}} \, dx","Int[1/Sqrt[1 + Sqrt[x]],x]","\frac{4}{3} \left(\sqrt{x}+1\right)^{3/2}-4 \sqrt{\sqrt{x}+1}","\frac{4}{3} \left(\sqrt{x}+1\right)^{3/2}-4 \sqrt{\sqrt{x}+1}",1,"-4*Sqrt[1 + Sqrt[x]] + (4*(1 + Sqrt[x])^(3/2))/3","A",3,2,11,0.1818,1,"{190, 43}"
231,1,8,0,0.0049472,"\int \frac{\sqrt{x}}{x+x^2} \, dx","Int[Sqrt[x]/(x + x^2),x]","2 \tan ^{-1}\left(\sqrt{x}\right)","2 \tan ^{-1}\left(\sqrt{x}\right)",1,"2*ArcTan[Sqrt[x]]","A",3,3,13,0.2308,1,"{647, 63, 203}"
232,1,21,0,0.0112809,"\int \frac{1+\sqrt{x}}{-1+\sqrt{x}} \, dx","Int[(1 + Sqrt[x])/(-1 + Sqrt[x]),x]","x+4 \sqrt{x}+4 \log \left(1-\sqrt{x}\right)","x+4 \sqrt{x}+4 \log \left(1-\sqrt{x}\right)",1,"4*Sqrt[x] + x + 4*Log[1 - Sqrt[x]]","A",3,2,17,0.1176,1,"{376, 77}"
233,1,30,0,0.0170899,"\int \frac{1+\frac{1}{\sqrt[3]{x}}}{-1+\frac{1}{\sqrt[3]{x}}} \, dx","Int[(1 + x^(-1/3))/(-1 + x^(-1/3)),x]","-3 x^{2/3}-x-6 \sqrt[3]{x}-6 \log \left(1-\sqrt[3]{x}\right)","-3 x^{2/3}-x-6 \sqrt[3]{x}-6 \log \left(1-\sqrt[3]{x}\right)",1,"-6*x^(1/3) - 3*x^(2/3) - x - 6*Log[1 - x^(1/3)]","A",4,3,17,0.1765,1,"{374, 376, 77}"
234,1,27,0,0.0103061,"\int \frac{x^3}{\sqrt[3]{1+x^2}} \, dx","Int[x^3/(1 + x^2)^(1/3),x]","\frac{3}{10} \left(x^2+1\right)^{5/3}-\frac{3}{4} \left(x^2+1\right)^{2/3}","\frac{3}{10} \left(x^2+1\right)^{5/3}-\frac{3}{4} \left(x^2+1\right)^{2/3}",1,"(-3*(1 + x^2)^(2/3))/4 + (3*(1 + x^2)^(5/3))/10","A",3,2,13,0.1538,1,"{266, 43}"
235,1,201,0,0.2163539,"\int \frac{\sqrt{x}}{-\frac{1}{\sqrt[3]{x}}+\sqrt{x}} \, dx","Int[Sqrt[x]/(-x^(-1/3) + Sqrt[x]),x]","x+6 \sqrt[6]{x}+\frac{6}{5} \log \left(1-\sqrt[6]{x}\right)-\frac{3}{10} \left(1-\sqrt{5}\right) \log \left(2 \sqrt[3]{x}-\sqrt{5} \sqrt[6]{x}+\sqrt[6]{x}+2\right)-\frac{3}{10} \left(1+\sqrt{5}\right) \log \left(2 \sqrt[3]{x}+\sqrt{5} \sqrt[6]{x}+\sqrt[6]{x}+2\right)-\frac{3}{5} \sqrt{2 \left(5+\sqrt{5}\right)} \tan ^{-1}\left(\frac{4 \sqrt[6]{x}-\sqrt{5}+1}{\sqrt{2 \left(5+\sqrt{5}\right)}}\right)-\frac{3}{5} \sqrt{2 \left(5-\sqrt{5}\right)} \tan ^{-1}\left(\frac{1}{2} \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} \left(4 \sqrt[6]{x}+\sqrt{5}+1\right)\right)","x+6 \sqrt[6]{x}+\frac{6}{5} \log \left(1-\sqrt[6]{x}\right)-\frac{3}{10} \left(1-\sqrt{5}\right) \log \left(2 \sqrt[3]{x}-\sqrt{5} \sqrt[6]{x}+\sqrt[6]{x}+2\right)-\frac{3}{10} \left(1+\sqrt{5}\right) \log \left(2 \sqrt[3]{x}+\sqrt{5} \sqrt[6]{x}+\sqrt[6]{x}+2\right)-\frac{3}{5} \sqrt{2 \left(5+\sqrt{5}\right)} \tan ^{-1}\left(\frac{4 \sqrt[6]{x}-\sqrt{5}+1}{\sqrt{2 \left(5+\sqrt{5}\right)}}\right)-\frac{3}{5} \sqrt{2 \left(5-\sqrt{5}\right)} \tan ^{-1}\left(\frac{1}{2} \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} \left(4 \sqrt[6]{x}+\sqrt{5}+1\right)\right)",1,"6*x^(1/6) + x - (3*Sqrt[2*(5 + Sqrt[5])]*ArcTan[(1 - Sqrt[5] + 4*x^(1/6))/Sqrt[2*(5 + Sqrt[5])]])/5 - (3*Sqrt[2*(5 - Sqrt[5])]*ArcTan[(Sqrt[(5 + Sqrt[5])/10]*(1 + Sqrt[5] + 4*x^(1/6)))/2])/5 + (6*Log[1 - x^(1/6)])/5 - (3*(1 - Sqrt[5])*Log[2 + x^(1/6) - Sqrt[5]*x^(1/6) + 2*x^(1/3)])/10 - (3*(1 + Sqrt[5])*Log[2 + x^(1/6) + Sqrt[5]*x^(1/6) + 2*x^(1/3)])/10","A",10,9,21,0.4286,1,"{1584, 341, 302, 202, 634, 618, 204, 628, 31}"
236,1,62,0,0.037231,"\int \frac{1}{\frac{1}{\sqrt[4]{x}}+\sqrt{x}} \, dx","Int[(x^(-1/4) + Sqrt[x])^(-1),x]","2 \sqrt{x}+\frac{4}{3} \log \left(\sqrt[4]{x}+1\right)-\frac{2}{3} \log \left(\sqrt{x}-\sqrt[4]{x}+1\right)+\frac{4 \tan ^{-1}\left(\frac{1-2 \sqrt[4]{x}}{\sqrt{3}}\right)}{\sqrt{3}}","2 \sqrt{x}+\frac{4}{3} \log \left(\sqrt[4]{x}+1\right)-\frac{2}{3} \log \left(\sqrt{x}-\sqrt[4]{x}+1\right)+\frac{4 \tan ^{-1}\left(\frac{1-2 \sqrt[4]{x}}{\sqrt{3}}\right)}{\sqrt{3}}",1,"2*Sqrt[x] + (4*ArcTan[(1 - 2*x^(1/4))/Sqrt[3]])/Sqrt[3] + (4*Log[1 + x^(1/4)])/3 - (2*Log[1 - x^(1/4) + Sqrt[x]])/3","A",9,9,13,0.6923,1,"{1593, 341, 321, 292, 31, 634, 618, 204, 628}"
237,1,130,0,0.0462393,"\int \frac{1}{\frac{1}{\sqrt[3]{x}}+\frac{1}{\sqrt[4]{x}}} \, dx","Int[(x^(-1/3) + x^(-1/4))^(-1),x]","\frac{4 x^{5/4}}{5}-\frac{6 x^{7/6}}{7}+\frac{12 x^{13/12}}{13}+\frac{12 x^{11/12}}{11}-\frac{6 x^{5/6}}{5}+\frac{4 x^{3/4}}{3}-\frac{3 x^{2/3}}{2}+\frac{12 x^{7/12}}{7}+\frac{12 x^{5/12}}{5}-x-2 \sqrt{x}-3 \sqrt[3]{x}+4 \sqrt[4]{x}-6 \sqrt[6]{x}+12 \sqrt[12]{x}-12 \log \left(\sqrt[12]{x}+1\right)","\frac{4 x^{5/4}}{5}-\frac{6 x^{7/6}}{7}+\frac{12 x^{13/12}}{13}+\frac{12 x^{11/12}}{11}-\frac{6 x^{5/6}}{5}+\frac{4 x^{3/4}}{3}-\frac{3 x^{2/3}}{2}+\frac{12 x^{7/12}}{7}+\frac{12 x^{5/12}}{5}-x-2 \sqrt{x}-3 \sqrt[3]{x}+4 \sqrt[4]{x}-6 \sqrt[6]{x}+12 \sqrt[12]{x}-12 \log \left(\sqrt[12]{x}+1\right)",1,"12*x^(1/12) - 6*x^(1/6) + 4*x^(1/4) - 3*x^(1/3) + (12*x^(5/12))/5 - 2*Sqrt[x] + (12*x^(7/12))/7 - (3*x^(2/3))/2 + (4*x^(3/4))/3 - (6*x^(5/6))/5 + (12*x^(11/12))/11 - x + (12*x^(13/12))/13 - (6*x^(7/6))/7 + (4*x^(5/4))/5 - 12*Log[1 + x^(1/12)]","A",4,3,13,0.2308,1,"{1593, 266, 43}"
238,1,24,0,0.0088508,"\int \sqrt{\frac{1-x}{x}} \, dx","Int[Sqrt[(1 - x)/x],x]","\sqrt{\frac{1}{x}-1} x-\tan ^{-1}\left(\sqrt{\frac{1}{x}-1}\right)","\sqrt{\frac{1}{x}-1} x-\tan ^{-1}\left(\sqrt{\frac{1}{x}-1}\right)",1,"Sqrt[-1 + x^(-1)]*x - ArcTan[Sqrt[-1 + x^(-1)]]","A",5,5,13,0.3846,1,"{1972, 242, 47, 63, 203}"
239,1,11,0,0.0208168,"\int \frac{\cos (x)}{\sin (x)+\sin ^2(x)} \, dx","Int[Cos[x]/(Sin[x] + Sin[x]^2),x]","\log (\sin (x))-\log (\sin (x)+1)","\log (\sin (x))-\log (\sin (x)+1)",1,"Log[Sin[x]] - Log[1 + Sin[x]]","A",2,2,12,0.1667,1,"{3258, 615}"
240,1,17,0,0.0318288,"\int \frac{e^{2 x}}{2+3 e^x+e^{2 x}} \, dx","Int[E^(2*x)/(2 + 3*E^x + E^(2*x)),x]","2 \log \left(e^x+2\right)-\log \left(e^x+1\right)","2 \log \left(e^x+2\right)-\log \left(e^x+1\right)",1,"-Log[1 + E^x] + 2*Log[2 + E^x]","A",4,3,20,0.1500,1,"{2282, 632, 31}"
241,1,12,0,0.0080599,"\int \frac{1}{\sqrt{1+e^x}} \, dx","Int[1/Sqrt[1 + E^x],x]","-2 \tanh ^{-1}\left(\sqrt{e^x+1}\right)","-2 \tanh ^{-1}\left(\sqrt{e^x+1}\right)",1,"-2*ArcTanh[Sqrt[1 + E^x]]","A",3,3,9,0.3333,1,"{2282, 63, 207}"
242,1,28,0,0.0129139,"\int \sqrt{1-e^x} \, dx","Int[Sqrt[1 - E^x],x]","2 \sqrt{1-e^x}-2 \tanh ^{-1}\left(\sqrt{1-e^x}\right)","2 \sqrt{1-e^x}-2 \tanh ^{-1}\left(\sqrt{1-e^x}\right)",1,"2*Sqrt[1 - E^x] - 2*ArcTanh[Sqrt[1 - E^x]]","A",4,4,11,0.3636,1,"{2282, 50, 63, 206}"
243,1,43,0,0.0187309,"\int \frac{1}{3-5 \sin (x)} \, dx","Int[(3 - 5*Sin[x])^(-1),x]","\frac{1}{4} \log \left(3 \cos \left(\frac{x}{2}\right)-\sin \left(\frac{x}{2}\right)\right)-\frac{1}{4} \log \left(\cos \left(\frac{x}{2}\right)-3 \sin \left(\frac{x}{2}\right)\right)","\frac{1}{4} \log \left(3 \cos \left(\frac{x}{2}\right)-\sin \left(\frac{x}{2}\right)\right)-\frac{1}{4} \log \left(\cos \left(\frac{x}{2}\right)-3 \sin \left(\frac{x}{2}\right)\right)",1,"-Log[Cos[x/2] - 3*Sin[x/2]]/4 + Log[3*Cos[x/2] - Sin[x/2]]/4","A",4,3,8,0.3750,1,"{2660, 616, 31}"
244,1,21,0,0.0096234,"\int \frac{1}{\cos (x)+\sin (x)} \, dx","Int[(Cos[x] + Sin[x])^(-1),x]","-\frac{\tanh ^{-1}\left(\frac{\cos (x)-\sin (x)}{\sqrt{2}}\right)}{\sqrt{2}}","-\frac{\tanh ^{-1}\left(\frac{\cos (x)-\sin (x)}{\sqrt{2}}\right)}{\sqrt{2}}",1,"-(ArcTanh[(Cos[x] - Sin[x])/Sqrt[2]]/Sqrt[2])","A",2,2,7,0.2857,1,"{3074, 206}"
245,1,11,0,0.0107476,"\int \frac{1}{1-\cos (x)+\sin (x)} \, dx","Int[(1 - Cos[x] + Sin[x])^(-1),x]","-\log \left(\cot \left(\frac{x}{2}\right)+1\right)","-\log \left(\cot \left(\frac{x}{2}\right)+1\right)",1,"-Log[1 + Cot[x/2]]","A",2,2,10,0.2000,1,"{3121, 31}"
246,1,18,0,0.0121786,"\int \frac{1}{4 \cos (x)+3 \sin (x)} \, dx","Int[(4*Cos[x] + 3*Sin[x])^(-1),x]","-\frac{1}{5} \tanh ^{-1}\left(\frac{1}{5} (3 \cos (x)-4 \sin (x))\right)","-\frac{1}{5} \tanh ^{-1}\left(\frac{1}{5} (3 \cos (x)-4 \sin (x))\right)",1,"-ArcTanh[(3*Cos[x] - 4*Sin[x])/5]/5","A",2,2,11,0.1818,1,"{3074, 206}"
247,1,24,0,0.0523432,"\int \frac{1}{\sin (x)+\tan (x)} \, dx","Int[(Sin[x] + Tan[x])^(-1),x]","-\frac{1}{2} \csc ^2(x)-\frac{1}{2} \tanh ^{-1}(\cos (x))+\frac{1}{2} \cot (x) \csc (x)","-\frac{1}{2} \csc ^2(x)-\frac{1}{2} \tanh ^{-1}(\cos (x))+\frac{1}{2} \cot (x) \csc (x)",1,"-ArcTanh[Cos[x]]/2 + (Cot[x]*Csc[x])/2 - Csc[x]^2/2","A",6,6,7,0.8571,1,"{4397, 2706, 2606, 30, 2611, 3770}"
248,1,24,0,0.0268354,"\int \frac{1}{2 \sin (x)+\sin (2 x)} \, dx","Int[(2*Sin[x] + Sin[2*x])^(-1),x]","\frac{1}{8} \tan ^2\left(\frac{x}{2}\right)+\frac{1}{4} \log \left(\tan \left(\frac{x}{2}\right)\right)","\frac{1}{8} \tan ^2\left(\frac{x}{2}\right)+\frac{1}{4} \log \left(\tan \left(\frac{x}{2}\right)\right)",1,"Log[Tan[x/2]]/4 + Tan[x/2]^2/8","A",4,2,11,0.1818,1,"{12, 14}"
249,1,18,0,0.030173,"\int \frac{\sec (x)}{1+\sin (x)} \, dx","Int[Sec[x]/(1 + Sin[x]),x]","\frac{1}{2} \tanh ^{-1}(\sin (x))-\frac{1}{2 (\sin (x)+1)}","\frac{1}{2} \tanh ^{-1}(\sin (x))-\frac{1}{2 (\sin (x)+1)}",1,"ArcTanh[Sin[x]]/2 - 1/(2*(1 + Sin[x]))","A",4,3,9,0.3333,1,"{2667, 44, 207}"
250,1,36,0,0.0223097,"\int \frac{1}{b \cos (x)+a \sin (x)} \, dx","Int[(b*Cos[x] + a*Sin[x])^(-1),x]","-\frac{\tanh ^{-1}\left(\frac{a \cos (x)-b \sin (x)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}","-\frac{\tanh ^{-1}\left(\frac{a \cos (x)-b \sin (x)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}",1,"-(ArcTanh[(a*Cos[x] - b*Sin[x])/Sqrt[a^2 + b^2]]/Sqrt[a^2 + b^2])","A",2,2,11,0.1818,1,"{3074, 206}"
251,1,15,0,0.024756,"\int \frac{1}{b^2 \cos ^2(x)+a^2 \sin ^2(x)} \, dx","Int[(b^2*Cos[x]^2 + a^2*Sin[x]^2)^(-1),x]","\frac{\tan ^{-1}\left(\frac{a \tan (x)}{b}\right)}{a b}","\frac{\tan ^{-1}\left(\frac{a \tan (x)}{b}\right)}{a b}",1,"ArcTan[(a*Tan[x])/b]/(a*b)","A",2,1,19,0.05263,1,"{205}"
252,1,12,0,0.0018597,"\int \frac{x}{-1+x^2} \, dx","Int[x/(-1 + x^2),x]","\frac{1}{2} \log \left(1-x^2\right)","\frac{1}{2} \log \left(1-x^2\right)",1,"Log[1 - x^2]/2","A",1,1,9,0.1111,1,"{260}"
253,1,17,0,0.0030238,"\int \left(1+\sqrt{x}\right) \sqrt{x} \, dx","Int[(1 + Sqrt[x])*Sqrt[x],x]","\frac{x^2}{2}+\frac{2 x^{3/2}}{3}","\frac{x^2}{2}+\frac{2 x^{3/2}}{3}",1,"(2*x^(3/2))/3 + x^2/2","A",2,1,13,0.07692,1,"{14}"
254,1,12,0,0.008591,"\int \frac{1}{1-\cos (x)} \, dx","Int[(1 - Cos[x])^(-1),x]","-\frac{\sin (x)}{1-\cos (x)}","-\frac{\sin (x)}{1-\cos (x)}",1,"-(Sin[x]/(1 - Cos[x]))","A",1,1,8,0.1250,1,"{2648}"
255,1,16,0,0.0141955,"\int \sec (x) \tan ^2(x) \, dx","Int[Sec[x]*Tan[x]^2,x]","\frac{1}{2} \tan (x) \sec (x)-\frac{1}{2} \tanh ^{-1}(\sin (x))","\frac{1}{2} \tan (x) \sec (x)-\frac{1}{2} \tanh ^{-1}(\sin (x))",1,"-ArcTanh[Sin[x]]/2 + (Sec[x]*Tan[x])/2","A",2,2,7,0.2857,1,"{2611, 3770}"
256,1,17,0,0.0252672,"\int \sec ^3(x) \tan ^3(x) \, dx","Int[Sec[x]^3*Tan[x]^3,x]","\frac{\sec ^5(x)}{5}-\frac{\sec ^3(x)}{3}","\frac{\sec ^5(x)}{5}-\frac{\sec ^3(x)}{3}",1,"-Sec[x]^3/3 + Sec[x]^5/5","A",3,2,9,0.2222,1,"{2606, 14}"
257,1,24,0,0.0086377,"\int e^{\sqrt{x}} \, dx","Int[E^Sqrt[x],x]","2 e^{\sqrt{x}} \sqrt{x}-2 e^{\sqrt{x}}","2 e^{\sqrt{x}} \sqrt{x}-2 e^{\sqrt{x}}",1,"-2*E^Sqrt[x] + 2*E^Sqrt[x]*Sqrt[x]","A",3,3,7,0.4286,1,"{2207, 2176, 2194}"
258,1,42,0,0.0426682,"\int \frac{1+x^5}{-10 x-3 x^2+x^3} \, dx","Int[(1 + x^5)/(-10*x - 3*x^2 + x^3),x]","\frac{x^3}{3}+\frac{3 x^2}{2}+19 x+\frac{3126}{35} \log (5-x)-\frac{\log (x)}{10}-\frac{31}{14} \log (x+2)","\frac{x^3}{3}+\frac{3 x^2}{2}+19 x+\frac{3126}{35} \log (5-x)-\frac{\log (x)}{10}-\frac{31}{14} \log (x+2)",1,"19*x + (3*x^2)/2 + x^3/3 + (3126*Log[5 - x])/35 - Log[x]/10 - (31*Log[2 + x])/14","A",3,2,20,0.1000,1,"{1594, 1628}"
259,1,8,0,0.013675,"\int \frac{1}{x \sqrt{\log (x)}} \, dx","Int[1/(x*Sqrt[Log[x]]),x]","2 \sqrt{\log (x)}","2 \sqrt{\log (x)}",1,"2*Sqrt[Log[x]]","A",2,2,10,0.2000,1,"{2302, 30}"
260,1,12,0,0.0063038,"\int \frac{5+2 x}{-3+x} \, dx","Int[(5 + 2*x)/(-3 + x),x]","2 x+11 \log (3-x)","2 x+11 \log (3-x)",1,"2*x + 11*Log[3 - x]","A",2,1,11,0.09091,1,"{43}"
261,1,5,0,0.0055676,"\int e^{e^x+x} \, dx","Int[E^(E^x + x),x]","e^{e^x}","e^{e^x}",1,"E^E^x","A",2,2,7,0.2857,1,"{2282, 2194}"
262,1,24,0,0.0282671,"\int \cos ^2(x) \sin ^2(x) \, dx","Int[Cos[x]^2*Sin[x]^2,x]","\frac{x}{8}-\frac{1}{4} \sin (x) \cos ^3(x)+\frac{1}{8} \sin (x) \cos (x)","\frac{x}{8}-\frac{1}{4} \sin (x) \cos ^3(x)+\frac{1}{8} \sin (x) \cos (x)",1,"x/8 + (Cos[x]*Sin[x])/8 - (Cos[x]^3*Sin[x])/4","A",3,3,9,0.3333,1,"{2568, 2635, 8}"
263,1,8,0,0.0225275,"\int \frac{-\cos (x)+\sin (x)}{\cos (x)+\sin (x)} \, dx","Int[(-Cos[x] + Sin[x])/(Cos[x] + Sin[x]),x]","-\log (\sin (x)+\cos (x))","-\log (\sin (x)+\cos (x))",1,"-Log[Cos[x] + Sin[x]]","A",1,1,15,0.06667,1,"{3133}"
264,1,13,0,0.0022397,"\int \frac{x}{\sqrt{1-x^2}} \, dx","Int[x/Sqrt[1 - x^2],x]","-\sqrt{1-x^2}","-\sqrt{1-x^2}",1,"-Sqrt[1 - x^2]","A",1,1,13,0.07692,1,"{261}"
265,1,17,0,0.0066092,"\int x^3 \log (x) \, dx","Int[x^3*Log[x],x]","\frac{1}{4} x^4 \log (x)-\frac{x^4}{16}","\frac{1}{4} x^4 \log (x)-\frac{x^4}{16}",1,"-x^4/16 + (x^4*Log[x])/4","A",1,1,6,0.1667,1,"{2304}"
266,1,24,0,0.0057144,"\int \frac{\sqrt{-2+x}}{2+x} \, dx","Int[Sqrt[-2 + x]/(2 + x),x]","2 \sqrt{x-2}-4 \tan ^{-1}\left(\frac{\sqrt{x-2}}{2}\right)","2 \sqrt{x-2}-4 \tan ^{-1}\left(\frac{\sqrt{x-2}}{2}\right)",1,"2*Sqrt[-2 + x] - 4*ArcTan[Sqrt[-2 + x]/2]","A",3,3,13,0.2308,1,"{50, 63, 203}"
267,1,12,0,0.0048786,"\int \frac{x}{(2+x)^2} \, dx","Int[x/(2 + x)^2,x]","\frac{2}{x+2}+\log (x+2)","\frac{2}{x+2}+\log (x+2)",1,"2/(2 + x) + Log[2 + x]","A",2,1,7,0.1429,1,"{43}"
268,1,16,0,0.0047707,"\int \log \left(1+x^2\right) \, dx","Int[Log[1 + x^2],x]","x \log \left(x^2+1\right)-2 x+2 \tan ^{-1}(x)","x \log \left(x^2+1\right)-2 x+2 \tan ^{-1}(x)",1,"-2*x + 2*ArcTan[x] + x*Log[1 + x^2]","A",3,3,6,0.5000,1,"{2448, 321, 203}"
269,1,22,0,0.0561296,"\int \frac{\sqrt{1+\log (x)}}{x \log (x)} \, dx","Int[Sqrt[1 + Log[x]]/(x*Log[x]),x]","2 \sqrt{\log (x)+1}-2 \tanh ^{-1}\left(\sqrt{\log (x)+1}\right)","2 \sqrt{\log (x)+1}-2 \tanh ^{-1}\left(\sqrt{\log (x)+1}\right)",1,"-2*ArcTanh[Sqrt[1 + Log[x]]] + 2*Sqrt[1 + Log[x]]","A",4,4,16,0.2500,1,"{2365, 50, 63, 207}"
270,1,27,0,0.0062772,"\int \left(1+\sqrt{x}\right)^8 \, dx","Int[(1 + Sqrt[x])^8,x]","\frac{1}{5} \left(\sqrt{x}+1\right)^{10}-\frac{2}{9} \left(\sqrt{x}+1\right)^9","\frac{1}{5} \left(\sqrt{x}+1\right)^{10}-\frac{2}{9} \left(\sqrt{x}+1\right)^9",1,"(-2*(1 + Sqrt[x])^9)/9 + (1 + Sqrt[x])^10/5","A",3,2,9,0.2222,1,"{190, 43}"
271,1,17,0,0.0245593,"\int \sec ^4(x) \tan ^3(x) \, dx","Int[Sec[x]^4*Tan[x]^3,x]","\frac{\sec ^6(x)}{6}-\frac{\sec ^4(x)}{4}","\frac{\sec ^6(x)}{6}-\frac{\sec ^4(x)}{4}",1,"-Sec[x]^4/4 + Sec[x]^6/6","A",3,2,9,0.2222,1,"{2606, 14}"
272,1,22,0,0.0075908,"\int \frac{x}{2-2 x+x^2} \, dx","Int[x/(2 - 2*x + x^2),x]","\frac{1}{2} \log \left(x^2-2 x+2\right)-\tan ^{-1}(1-x)","\frac{1}{2} \log \left(x^2-2 x+2\right)-\tan ^{-1}(1-x)",1,"-ArcTan[1 - x] + Log[2 - 2*x + x^2]/2","A",4,4,12,0.3333,1,"{634, 617, 204, 628}"
273,1,32,0,0.0101239,"\int x \sin ^{-1}(x) \, dx","Int[x*ArcSin[x],x]","\frac{1}{4} \sqrt{1-x^2} x+\frac{1}{2} x^2 \sin ^{-1}(x)-\frac{1}{4} \sin ^{-1}(x)","\frac{1}{4} \sqrt{1-x^2} x+\frac{1}{2} x^2 \sin ^{-1}(x)-\frac{1}{4} \sin ^{-1}(x)",1,"(x*Sqrt[1 - x^2])/4 - ArcSin[x]/4 + (x^2*ArcSin[x])/2","A",3,3,4,0.7500,1,"{4627, 321, 216}"
274,1,30,0,0.0149736,"\int \frac{\sqrt{9-x^2}}{x} \, dx","Int[Sqrt[9 - x^2]/x,x]","\sqrt{9-x^2}-3 \tanh ^{-1}\left(\frac{\sqrt{9-x^2}}{3}\right)","\sqrt{9-x^2}-3 \tanh ^{-1}\left(\frac{\sqrt{9-x^2}}{3}\right)",1,"Sqrt[9 - x^2] - 3*ArcTanh[Sqrt[9 - x^2]/3]","A",4,4,15,0.2667,1,"{266, 50, 63, 206}"
275,1,13,0,0.0034389,"\int \frac{x}{2+3 x+x^2} \, dx","Int[x/(2 + 3*x + x^2),x]","2 \log (x+2)-\log (x+1)","2 \log (x+2)-\log (x+1)",1,"-Log[1 + x] + 2*Log[2 + x]","A",3,2,12,0.1667,1,"{632, 31}"
276,1,16,0,0.0271148,"\int x^2 \cosh (x) \, dx","Int[x^2*Cosh[x],x]","x^2 \sinh (x)+2 \sinh (x)-2 x \cosh (x)","x^2 \sinh (x)+2 \sinh (x)-2 x \cosh (x)",1,"-2*x*Cosh[x] + 2*Sinh[x] + x^2*Sinh[x]","A",3,2,6,0.3333,1,"{3296, 2637}"
277,1,17,0,0.0092228,"\int \frac{1+x+x^3}{4 x+2 x^2+x^4} \, dx","Int[(1 + x + x^3)/(4*x + 2*x^2 + x^4),x]","\frac{1}{4} \log \left(x^4+2 x^2+4 x\right)","\frac{1}{4} \log \left(x^4+2 x^2+4 x\right)",1,"Log[4*x + 2*x^2 + x^4]/4","A",1,1,21,0.04762,1,"{1587}"
278,1,3,0,0.0179629,"\int \frac{\cos (x)}{1+\sin ^2(x)} \, dx","Int[Cos[x]/(1 + Sin[x]^2),x]","\tan ^{-1}(\sin (x))","\tan ^{-1}(\sin (x))",1,"ArcTan[Sin[x]]","A",2,2,11,0.1818,1,"{3190, 203}"
279,1,22,0,0.0114538,"\int \cos \left(\sqrt{x}\right) \, dx","Int[Cos[Sqrt[x]],x]","2 \sqrt{x} \sin \left(\sqrt{x}\right)+2 \cos \left(\sqrt{x}\right)","2 \sqrt{x} \sin \left(\sqrt{x}\right)+2 \cos \left(\sqrt{x}\right)",1,"2*Cos[Sqrt[x]] + 2*Sqrt[x]*Sin[Sqrt[x]]","A",3,3,6,0.5000,1,"{3362, 3296, 2638}"
280,1,9,0,0.0037205,"\int \sin (\pi  x) \, dx","Int[Sin[Pi*x],x]","-\frac{\cos (\pi  x)}{\pi }","-\frac{\cos (\pi  x)}{\pi }",1,"-(Cos[Pi*x]/Pi)","A",1,1,4,0.2500,1,"{2638}"
281,1,12,0,0.0196965,"\int \frac{e^{2 x}}{1+e^x} \, dx","Int[E^(2*x)/(1 + E^x),x]","e^x-\log \left(e^x+1\right)","e^x-\log \left(e^x+1\right)",1,"E^x - Log[1 + E^x]","A",3,2,13,0.1538,1,"{2248, 43}"
282,1,27,0,0.0096329,"\int e^{3 x} \cos (5 x) \, dx","Int[E^(3*x)*Cos[5*x],x]","\frac{5}{34} e^{3 x} \sin (5 x)+\frac{3}{34} e^{3 x} \cos (5 x)","\frac{5}{34} e^{3 x} \sin (5 x)+\frac{3}{34} e^{3 x} \cos (5 x)",1,"(3*E^(3*x)*Cos[5*x])/34 + (5*E^(3*x)*Sin[5*x])/34","A",1,1,10,0.1000,1,"{4433}"
283,1,17,0,0.0078319,"\int \cos (3 x) \cos (5 x) \, dx","Int[Cos[3*x]*Cos[5*x],x]","\frac{1}{4} \sin (2 x)+\frac{1}{16} \sin (8 x)","\frac{1}{4} \sin (2 x)+\frac{1}{16} \sin (8 x)",1,"Sin[2*x]/4 + Sin[8*x]/16","A",1,1,9,0.1111,1,"{4283}"
284,1,25,0,0.0136644,"\int \frac{1}{1+x+x^2+x^3} \, dx","Int[(1 + x + x^2 + x^3)^(-1),x]","-\frac{1}{4} \log \left(x^2+1\right)+\frac{1}{2} \log (x+1)+\frac{1}{2} \tan ^{-1}(x)","-\frac{1}{4} \log \left(x^2+1\right)+\frac{1}{2} \log (x+1)+\frac{1}{2} \tan ^{-1}(x)",1,"ArcTan[x]/2 + Log[1 + x]/2 - Log[1 + x^2]/4","A",5,4,11,0.3636,1,"{2058, 635, 203, 260}"
285,1,39,0,0.0150372,"\int x^2 \log (1+x) \, dx","Int[x^2*Log[1 + x],x]","-\frac{x^3}{9}+\frac{x^2}{6}+\frac{1}{3} x^3 \log (x+1)-\frac{x}{3}+\frac{1}{3} \log (x+1)","-\frac{x^3}{9}+\frac{x^2}{6}+\frac{1}{3} x^3 \log (x+1)-\frac{x}{3}+\frac{1}{3} \log (x+1)",1,"-x/3 + x^2/6 - x^3/9 + Log[1 + x]/3 + (x^3*Log[1 + x])/3","A",3,2,8,0.2500,1,"{2395, 43}"
286,1,26,0,0.0266444,"\int e^{-x^3} x^5 \, dx","Int[x^5/E^x^3,x]","-\frac{1}{3} e^{-x^3} x^3-\frac{e^{-x^3}}{3}","-\frac{1}{3} e^{-x^3} x^3-\frac{e^{-x^3}}{3}",1,"-1/(3*E^x^3) - x^3/(3*E^x^3)","A",2,2,11,0.1818,1,"{2212, 2209}"
287,1,12,0,0.0053044,"\int \tan ^2(4 x) \, dx","Int[Tan[4*x]^2,x]","\frac{1}{4} \tan (4 x)-x","\frac{1}{4} \tan (4 x)-x",1,"-x + Tan[4*x]/4","A",2,2,6,0.3333,1,"{3473, 8}"
288,1,25,0,0.0054843,"\int \frac{1}{\sqrt{-5+12 x+9 x^2}} \, dx","Int[1/Sqrt[-5 + 12*x + 9*x^2],x]","\frac{1}{3} \tanh ^{-1}\left(\frac{3 x+2}{\sqrt{9 x^2+12 x-5}}\right)","\frac{1}{3} \tanh ^{-1}\left(\frac{3 x+2}{\sqrt{9 x^2+12 x-5}}\right)",1,"ArcTanh[(2 + 3*x)/Sqrt[-5 + 12*x + 9*x^2]]/3","A",2,2,14,0.1429,1,"{621, 206}"
289,1,27,0,0.0154581,"\int x^2 \tan ^{-1}(x) \, dx","Int[x^2*ArcTan[x],x]","-\frac{x^2}{6}+\frac{1}{6} \log \left(x^2+1\right)+\frac{1}{3} x^3 \tan ^{-1}(x)","-\frac{x^2}{6}+\frac{1}{6} \log \left(x^2+1\right)+\frac{1}{3} x^3 \tan ^{-1}(x)",1,"-x^2/6 + (x^3*ArcTan[x])/3 + Log[1 + x^2]/6","A",4,3,6,0.5000,1,"{4852, 266, 43}"
290,1,19,0,0.003367,"\int \frac{1-\sqrt{x}}{\sqrt[3]{x}} \, dx","Int[(1 - Sqrt[x])/x^(1/3),x]","\frac{3 x^{2/3}}{2}-\frac{6 x^{7/6}}{7}","\frac{3 x^{2/3}}{2}-\frac{6 x^{7/6}}{7}",1,"(3*x^(2/3))/2 - (6*x^(7/6))/7","A",2,1,15,0.06667,1,"{14}"
291,1,6,0,0.0095504,"\int \frac{1}{-e^{-x}+e^x} \, dx","Int[(-E^(-x) + E^x)^(-1),x]","-\tanh ^{-1}\left(e^x\right)","-\tanh ^{-1}\left(e^x\right)",1,"-ArcTanh[E^x]","A",2,2,13,0.1538,1,"{2282, 207}"
292,1,14,0,0.013418,"\int \frac{x}{10+2 x^2+x^4} \, dx","Int[x/(10 + 2*x^2 + x^4),x]","\frac{1}{6} \tan ^{-1}\left(\frac{1}{3} \left(x^2+1\right)\right)","\frac{1}{6} \tan ^{-1}\left(\frac{1}{3} \left(x^2+1\right)\right)",1,"ArcTan[(1 + x^2)/3]/6","A",3,3,14,0.2143,1,"{1107, 618, 204}"
293,1,12,0,0.0034391,"\int \frac{1}{\frac{1}{\sqrt[3]{x}}+x} \, dx","Int[(x^(-1/3) + x)^(-1),x]","\frac{3}{4} \log \left(x^{4/3}+1\right)","\frac{3}{4} \log \left(x^{4/3}+1\right)",1,"(3*Log[1 + x^(4/3)])/4","A",2,2,9,0.2222,1,"{1593, 260}"
294,1,34,0,0.0326611,"\int \cos ^4(x) \sin ^2(x) \, dx","Int[Cos[x]^4*Sin[x]^2,x]","\frac{x}{16}-\frac{1}{6} \sin (x) \cos ^5(x)+\frac{1}{24} \sin (x) \cos ^3(x)+\frac{1}{16} \sin (x) \cos (x)","\frac{x}{16}-\frac{1}{6} \sin (x) \cos ^5(x)+\frac{1}{24} \sin (x) \cos ^3(x)+\frac{1}{16} \sin (x) \cos (x)",1,"x/16 + (Cos[x]*Sin[x])/16 + (Cos[x]^3*Sin[x])/24 - (Cos[x]^5*Sin[x])/6","A",4,3,9,0.3333,1,"{2568, 2635, 8}"
295,1,12,0,0.0066545,"\int \frac{1}{\sqrt{5-4 x-x^2}} \, dx","Int[1/Sqrt[5 - 4*x - x^2],x]","-\sin ^{-1}\left(\frac{1}{3} (-x-2)\right)","-\sin ^{-1}\left(\frac{1}{3} (-x-2)\right)",1,"-ArcSin[(-2 - x)/3]","A",2,2,14,0.1429,1,"{619, 216}"
296,1,16,0,0.04629,"\int \frac{x}{1-x^2+\sqrt{1-x^2}} \, dx","Int[x/(1 - x^2 + Sqrt[1 - x^2]),x]","-\log \left(\sqrt{1-x^2}+1\right)","-\log \left(\sqrt{1-x^2}+1\right)",1,"-Log[1 + Sqrt[1 - x^2]]","A",3,2,22,0.09091,1,"{2155, 31}"
297,1,7,0,0.013242,"\int (1+\cos (x)) \csc (x) \, dx","Int[(1 + Cos[x])*Csc[x],x]","\log (1-\cos (x))","\log (1-\cos (x))",1,"Log[1 - Cos[x]]","A",2,2,7,0.2857,1,"{2667, 31}"
298,1,6,0,0.0167741,"\int \frac{e^x}{-1+e^{2 x}} \, dx","Int[E^x/(-1 + E^(2*x)),x]","-\tanh ^{-1}\left(e^x\right)","-\tanh ^{-1}\left(e^x\right)",1,"-ArcTanh[E^x]","A",2,2,13,0.1538,1,"{2249, 207}"
299,1,43,0,0.0203541,"\int \frac{1}{-8+x^3} \, dx","Int[(-8 + x^3)^(-1),x]","-\frac{1}{24} \log \left(x^2+2 x+4\right)+\frac{1}{12} \log (2-x)-\frac{\tan ^{-1}\left(\frac{x+1}{\sqrt{3}}\right)}{4 \sqrt{3}}","-\frac{1}{24} \log \left(x^2+2 x+4\right)+\frac{1}{12} \log (2-x)-\frac{\tan ^{-1}\left(\frac{x+1}{\sqrt{3}}\right)}{4 \sqrt{3}}",1,"-ArcTan[(1 + x)/Sqrt[3]]/(4*Sqrt[3]) + Log[2 - x]/12 - Log[4 + 2*x + x^2]/24","A",6,6,7,0.8571,1,"{200, 31, 634, 618, 204, 628}"
300,1,37,0,0.0764606,"\int x^5 \cosh (x) \, dx","Int[x^5*Cosh[x],x]","x^5 \sinh (x)+20 x^3 \sinh (x)-5 x^4 \cosh (x)-60 x^2 \cosh (x)+120 x \sinh (x)-120 \cosh (x)","x^5 \sinh (x)+20 x^3 \sinh (x)-5 x^4 \cosh (x)-60 x^2 \cosh (x)+120 x \sinh (x)-120 \cosh (x)",1,"-120*Cosh[x] - 60*x^2*Cosh[x] - 5*x^4*Cosh[x] + 120*x*Sinh[x] + 20*x^3*Sinh[x] + x^5*Sinh[x]","A",6,2,6,0.3333,1,"{3296, 2638}"
301,1,9,0,0.0232566,"\int \csc (x) \log (\tan (x)) \sec (x) \, dx","Int[Csc[x]*Log[Tan[x]]*Sec[x],x]","\frac{1}{2} \log ^2(\tan (x))","\frac{1}{2} \log ^2(\tan (x))",1,"Log[Tan[x]]^2/2","A",1,3,8,0.3750,1,"{2620, 29, 6686}"
302,1,20,0,0.0024438,"\int \left(-2 x+x^2+x^3\right) \, dx","Int[-2*x + x^2 + x^3,x]","\frac{x^4}{4}+\frac{x^3}{3}-x^2","\frac{x^4}{4}+\frac{x^3}{3}-x^2",1,"-x^2 + x^3/3 + x^4/4","A",1,0,10,0,1,"{}"
303,1,12,0,0.0210943,"\int \frac{1+e^x}{1-e^x} \, dx","Int[(1 + E^x)/(1 - E^x),x]","x-2 \log \left(1-e^x\right)","x-2 \log \left(1-e^x\right)",1,"x - 2*Log[1 - E^x]","A",3,2,15,0.1333,1,"{2282, 72}"
304,1,21,0,0.0114482,"\int \frac{x}{\left(1+x^2\right) \left(4+x^2\right)} \, dx","Int[x/((1 + x^2)*(4 + x^2)),x]","\frac{1}{6} \log \left(x^2+1\right)-\frac{1}{6} \log \left(x^2+4\right)","\frac{1}{6} \log \left(x^2+1\right)-\frac{1}{6} \log \left(x^2+4\right)",1,"Log[1 + x^2]/6 - Log[4 + x^2]/6","A",4,3,16,0.1875,1,"{444, 36, 31}"
305,1,43,0,0.0176698,"\int \frac{1}{4-5 \sin (x)} \, dx","Int[(4 - 5*Sin[x])^(-1),x]","\frac{1}{3} \log \left(2 \cos \left(\frac{x}{2}\right)-\sin \left(\frac{x}{2}\right)\right)-\frac{1}{3} \log \left(\cos \left(\frac{x}{2}\right)-2 \sin \left(\frac{x}{2}\right)\right)","\frac{1}{3} \log \left(2 \cos \left(\frac{x}{2}\right)-\sin \left(\frac{x}{2}\right)\right)-\frac{1}{3} \log \left(\cos \left(\frac{x}{2}\right)-2 \sin \left(\frac{x}{2}\right)\right)",1,"-Log[Cos[x/2] - 2*Sin[x/2]]/3 + Log[2*Cos[x/2] - Sin[x/2]]/3","A",4,3,8,0.3750,1,"{2660, 616, 31}"
306,1,24,0,0.0044251,"\int x \sqrt[3]{c+x} \, dx","Int[x*(c + x)^(1/3),x]","\frac{3}{7} (c+x)^{7/3}-\frac{3}{4} c (c+x)^{4/3}","\frac{3}{7} (c+x)^{7/3}-\frac{3}{4} c (c+x)^{4/3}",1,"(-3*c*(c + x)^(4/3))/4 + (3*(c + x)^(7/3))/7","A",2,1,9,0.1111,1,"{43}"
307,1,38,0,0.018782,"\int e^{\sqrt[3]{x}} \, dx","Int[E^x^(1/3),x]","3 e^{\sqrt[3]{x}} x^{2/3}-6 e^{\sqrt[3]{x}} \sqrt[3]{x}+6 e^{\sqrt[3]{x}}","3 e^{\sqrt[3]{x}} x^{2/3}-6 e^{\sqrt[3]{x}} \sqrt[3]{x}+6 e^{\sqrt[3]{x}}",1,"6*E^x^(1/3) - 6*E^x^(1/3)*x^(1/3) + 3*E^x^(1/3)*x^(2/3)","A",4,3,7,0.4286,1,"{2207, 2176, 2194}"
308,1,37,0,0.0357258,"\int \frac{1}{4+x+\sqrt{1+x}} \, dx","Int[(4 + x + Sqrt[1 + x])^(-1),x]","\log \left(x+\sqrt{x+1}+4\right)-\frac{2 \tan ^{-1}\left(\frac{2 \sqrt{x+1}+1}{\sqrt{11}}\right)}{\sqrt{11}}","\log \left(x+\sqrt{x+1}+4\right)-\frac{2 \tan ^{-1}\left(\frac{2 \sqrt{x+1}+1}{\sqrt{11}}\right)}{\sqrt{11}}",1,"(-2*ArcTan[(1 + 2*Sqrt[1 + x])/Sqrt[11]])/Sqrt[11] + Log[4 + x + Sqrt[1 + x]]","A",5,4,12,0.3333,1,"{634, 618, 204, 628}"
309,1,17,0,0.0292751,"\int \frac{1+x^3}{-x^2+x^3} \, dx","Int[(1 + x^3)/(-x^2 + x^3),x]","x+\frac{1}{x}+2 \log (1-x)-\log (x)","x+\frac{1}{x}+2 \log (1-x)-\log (x)",1,"x^(-1) + x + 2*Log[1 - x] - Log[x]","A",3,2,17,0.1176,1,"{1593, 1620}"
310,1,40,0,0.0667267,"\int \left(-3+4 x+x^2\right) \sin (2 x) \, dx","Int[(-3 + 4*x + x^2)*Sin[2*x],x]","-\frac{1}{2} x^2 \cos (2 x)+\frac{1}{2} x \sin (2 x)+\sin (2 x)-2 x \cos (2 x)+\frac{7}{4} \cos (2 x)","-\frac{1}{2} x^2 \cos (2 x)+\frac{1}{2} x \sin (2 x)+\sin (2 x)-2 x \cos (2 x)+\frac{7}{4} \cos (2 x)",1,"(7*Cos[2*x])/4 - 2*x*Cos[2*x] - (x^2*Cos[2*x])/2 + Sin[2*x] + (x*Sin[2*x])/2","A",8,4,13,0.3077,1,"{6742, 2638, 3296, 2637}"
311,1,5,0,0.0088673,"\int \cos (\cos (x)) \sin (x) \, dx","Int[Cos[Cos[x]]*Sin[x],x]","-\sin (\cos (x))","-\sin (\cos (x))",1,"-Sin[Cos[x]]","A",2,2,6,0.3333,1,"{4335, 2637}"
312,1,6,0,0.0012241,"\int \frac{1}{\sqrt{16-x^2}} \, dx","Int[1/Sqrt[16 - x^2],x]","\sin ^{-1}\left(\frac{x}{4}\right)","\sin ^{-1}\left(\frac{x}{4}\right)",1,"ArcSin[x/4]","A",1,1,11,0.09091,1,"{216}"
313,1,37,0,0.0114004,"\int \frac{x^3}{(1+x)^{10}} \, dx","Int[x^3/(1 + x)^10,x]","-\frac{1}{6 (x+1)^6}+\frac{3}{7 (x+1)^7}-\frac{3}{8 (x+1)^8}+\frac{1}{9 (x+1)^9}","-\frac{1}{6 (x+1)^6}+\frac{3}{7 (x+1)^7}-\frac{3}{8 (x+1)^8}+\frac{1}{9 (x+1)^9}",1,"1/(9*(1 + x)^9) - 3/(8*(1 + x)^8) + 3/(7*(1 + x)^7) - 1/(6*(1 + x)^6)","A",2,1,9,0.1111,1,"{43}"
314,1,21,0,0.0294961,"\int \cot ^3(2 x) \csc ^3(2 x) \, dx","Int[Cot[2*x]^3*Csc[2*x]^3,x]","\frac{1}{6} \csc ^3(2 x)-\frac{1}{10} \csc ^5(2 x)","\frac{1}{6} \csc ^3(2 x)-\frac{1}{10} \csc ^5(2 x)",1,"Csc[2*x]^3/6 - Csc[2*x]^5/10","A",3,2,13,0.1538,1,"{2606, 14}"
315,1,30,0,0.0340623,"\int (x+\sin (x))^2 \, dx","Int[(x + Sin[x])^2,x]","\frac{x^3}{3}+\frac{x}{2}+2 \sin (x)-2 x \cos (x)-\frac{1}{2} \sin (x) \cos (x)","\frac{x^3}{3}+\frac{x}{2}+2 \sin (x)-2 x \cos (x)-\frac{1}{2} \sin (x) \cos (x)",1,"x/2 + x^3/3 - 2*x*Cos[x] + 2*Sin[x] - (Cos[x]*Sin[x])/2","A",6,5,6,0.8333,1,"{6742, 3296, 2637, 2635, 8}"
316,1,4,0,0.0205325,"\int \frac{e^{\tan ^{-1}(x)}}{1+x^2} \, dx","Int[E^ArcTan[x]/(1 + x^2),x]","e^{\tan ^{-1}(x)}","e^{\tan ^{-1}(x)}",1,"E^ArcTan[x]","A",1,1,12,0.08333,1,"{5071}"
317,1,13,0,0.0049037,"\int \frac{1}{x \left(1+x^4\right)} \, dx","Int[1/(x*(1 + x^4)),x]","\log (x)-\frac{1}{4} \log \left(x^4+1\right)","\log (x)-\frac{1}{4} \log \left(x^4+1\right)",1,"Log[x] - Log[1 + x^4]/4","A",4,4,11,0.3636,1,"{266, 36, 29, 31}"
318,1,44,0,0.0385098,"\int e^{-2 t} t^3 \, dt","Int[t^3/E^(2*t),t]","-\frac{1}{2} e^{-2 t} t^3-\frac{3}{4} e^{-2 t} t^2-\frac{3}{4} e^{-2 t} t-\frac{3 e^{-2 t}}{8}","-\frac{1}{2} e^{-2 t} t^3-\frac{3}{4} e^{-2 t} t^2-\frac{3}{4} e^{-2 t} t-\frac{3 e^{-2 t}}{8}",1,"-3/(8*E^(2*t)) - (3*t)/(4*E^(2*t)) - (3*t^2)/(4*E^(2*t)) - t^3/(2*E^(2*t))","A",4,2,9,0.2222,1,"{2176, 2194}"
319,1,41,0,0.0119473,"\int \frac{\sqrt{t}}{1+\sqrt[3]{t}} \, dt","Int[Sqrt[t]/(1 + t^(1/3)),t]","\frac{6 t^{7/6}}{7}-\frac{6 t^{5/6}}{5}+2 \sqrt{t}-6 \sqrt[6]{t}+6 \tan ^{-1}\left(\sqrt[6]{t}\right)","\frac{6 t^{7/6}}{7}-\frac{6 t^{5/6}}{5}+2 \sqrt{t}-6 \sqrt[6]{t}+6 \tan ^{-1}\left(\sqrt[6]{t}\right)",1,"-6*t^(1/6) + 2*Sqrt[t] - (6*t^(5/6))/5 + (6*t^(7/6))/7 + 6*ArcTan[t^(1/6)]","A",7,4,15,0.2667,1,"{341, 50, 63, 203}"
320,1,25,0,0.0296515,"\int \sin (x) \sin (2 x) \sin (3 x) \, dx","Int[Sin[x]*Sin[2*x]*Sin[3*x],x]","-\frac{1}{8} \cos (2 x)-\frac{1}{16} \cos (4 x)+\frac{1}{24} \cos (6 x)","-\frac{1}{8} \cos (2 x)-\frac{1}{16} \cos (4 x)+\frac{1}{24} \cos (6 x)",1,"-Cos[2*x]/8 - Cos[4*x]/16 + Cos[6*x]/24","A",5,2,11,0.1818,1,"{4355, 2638}"
321,1,12,0,0.0013106,"\int \log \left(\frac{x}{2}\right) \, dx","Int[Log[x/2],x]","x \log \left(\frac{x}{2}\right)-x","x \log \left(\frac{x}{2}\right)-x",1,"-x + x*Log[x/2]","A",1,1,6,0.1667,1,"{2295}"
322,1,41,0,0.0130075,"\int \sqrt{\frac{1+x}{1-x}} \, dx","Int[Sqrt[(1 + x)/(1 - x)],x]","2 \tan ^{-1}\left(\sqrt{\frac{x+1}{1-x}}\right)-(1-x) \sqrt{\frac{x+1}{1-x}}","2 \tan ^{-1}\left(\sqrt{\frac{x+1}{1-x}}\right)-(1-x) \sqrt{\frac{x+1}{1-x}}",1,"-((1 - x)*Sqrt[(1 + x)/(1 - x)]) + 2*ArcTan[Sqrt[(1 + x)/(1 - x)]]","A",3,3,15,0.2000,1,"{1959, 288, 203}"
323,1,34,0,0.0365319,"\int \frac{x \log (x)}{\sqrt{-1+x^2}} \, dx","Int[(x*Log[x])/Sqrt[-1 + x^2],x]","-\sqrt{x^2-1}+\sqrt{x^2-1} \log (x)+\tan ^{-1}\left(\sqrt{x^2-1}\right)","-\sqrt{x^2-1}+\sqrt{x^2-1} \log (x)+\tan ^{-1}\left(\sqrt{x^2-1}\right)",1,"-Sqrt[-1 + x^2] + ArcTan[Sqrt[-1 + x^2]] + Sqrt[-1 + x^2]*Log[x]","A",5,5,13,0.3846,1,"{2338, 266, 50, 63, 203}"
324,1,19,0,0.0062446,"\int \frac{a+x}{a^2+x^2} \, dx","Int[(a + x)/(a^2 + x^2),x]","\frac{1}{2} \log \left(a^2+x^2\right)+\tan ^{-1}\left(\frac{x}{a}\right)","\frac{1}{2} \log \left(a^2+x^2\right)+\tan ^{-1}\left(\frac{x}{a}\right)",1,"ArcTan[x/a] + Log[a^2 + x^2]/2","A",3,3,13,0.2308,1,"{635, 203, 260}"
325,1,38,0,0.0117996,"\int \sqrt{1+x-x^2} \, dx","Int[Sqrt[1 + x - x^2],x]","-\frac{1}{4} \sqrt{-x^2+x+1} (1-2 x)-\frac{5}{8} \sin ^{-1}\left(\frac{1-2 x}{\sqrt{5}}\right)","-\frac{1}{4} \sqrt{-x^2+x+1} (1-2 x)-\frac{5}{8} \sin ^{-1}\left(\frac{1-2 x}{\sqrt{5}}\right)",1,"-((1 - 2*x)*Sqrt[1 + x - x^2])/4 - (5*ArcSin[(1 - 2*x)/Sqrt[5]])/8","A",3,3,12,0.2500,1,"{612, 619, 216}"
326,1,12,0,0.0050937,"\int \frac{x^4}{16+x^{10}} \, dx","Int[x^4/(16 + x^10),x]","\frac{1}{20} \tan ^{-1}\left(\frac{x^5}{4}\right)","\frac{1}{20} \tan ^{-1}\left(\frac{x^5}{4}\right)",1,"ArcTan[x^5/4]/20","A",2,2,11,0.1818,1,"{275, 203}"
327,1,31,0,0.0145056,"\int \frac{2+x}{2+x+x^2} \, dx","Int[(2 + x)/(2 + x + x^2),x]","\frac{1}{2} \log \left(x^2+x+2\right)+\frac{3 \tan ^{-1}\left(\frac{2 x+1}{\sqrt{7}}\right)}{\sqrt{7}}","\frac{1}{2} \log \left(x^2+x+2\right)+\frac{3 \tan ^{-1}\left(\frac{2 x+1}{\sqrt{7}}\right)}{\sqrt{7}}",1,"(3*ArcTan[(1 + 2*x)/Sqrt[7]])/Sqrt[7] + Log[2 + x + x^2]/2","A",4,4,12,0.3333,1,"{634, 618, 204, 628}"
328,1,10,0,0.0099904,"\int x \sec (x) \tan (x) \, dx","Int[x*Sec[x]*Tan[x],x]","x \sec (x)-\tanh ^{-1}(\sin (x))","x \sec (x)-\tanh ^{-1}(\sin (x))",1,"-ArcTanh[Sin[x]] + x*Sec[x]","A",2,2,6,0.3333,1,"{3757, 3770}"
329,1,15,0,0.0070744,"\int \frac{x}{-a^4+x^4} \, dx","Int[x/(-a^4 + x^4),x]","-\frac{\tanh ^{-1}\left(\frac{x^2}{a^2}\right)}{2 a^2}","-\frac{\tanh ^{-1}\left(\frac{x^2}{a^2}\right)}{2 a^2}",1,"-ArcTanh[x^2/a^2]/(2*a^2)","A",2,2,13,0.1538,1,"{275, 207}"
330,1,21,0,0.0055358,"\int \frac{1}{\sqrt{x}+\sqrt{1+x}} \, dx","Int[(Sqrt[x] + Sqrt[1 + x])^(-1),x]","\frac{2}{3} (x+1)^{3/2}-\frac{2 x^{3/2}}{3}","\frac{2}{3} (x+1)^{3/2}-\frac{2 x^{3/2}}{3}",1,"(-2*x^(3/2))/3 + (2*(1 + x)^(3/2))/3","A",3,3,15,0.2000,1,"{2106, 30, 32}"
331,1,23,0,0.0168223,"\int \frac{1}{1-e^{-x}+2 e^x} \, dx","Int[(1 - E^(-x) + 2*E^x)^(-1),x]","\frac{1}{3} \log \left(1-2 e^x\right)-\frac{1}{3} \log \left(e^x+1\right)","\frac{1}{3} \log \left(1-2 e^x\right)-\frac{1}{3} \log \left(e^x+1\right)",1,"Log[1 - 2*E^x]/3 - Log[1 + E^x]/3","A",4,3,16,0.1875,1,"{2282, 616, 31}"
332,1,20,0,0.0075875,"\int \frac{\tan ^{-1}\left(\sqrt{x}\right)}{\sqrt{x}} \, dx","Int[ArcTan[Sqrt[x]]/Sqrt[x],x]","2 \sqrt{x} \tan ^{-1}\left(\sqrt{x}\right)-\log (x+1)","2 \sqrt{x} \tan ^{-1}\left(\sqrt{x}\right)-\log (x+1)",1,"2*Sqrt[x]*ArcTan[Sqrt[x]] - Log[1 + x]","A",2,2,12,0.1667,1,"{5033, 31}"
333,1,18,0,0.0083889,"\int \frac{\log (1+x)}{x^2} \, dx","Int[Log[1 + x]/x^2,x]","\log (x)-\frac{\log (x+1)}{x}-\log (x+1)","\log (x)-\frac{\log (x+1)}{x}-\log (x+1)",1,"Log[x] - Log[1 + x] - Log[1 + x]/x","A",4,4,8,0.5000,1,"{2395, 36, 29, 31}"
334,1,12,0,0.0118939,"\int \frac{1}{-e^x+e^{3 x}} \, dx","Int[(-E^x + E^(3*x))^(-1),x]","e^{-x}-\tanh ^{-1}\left(e^x\right)","e^{-x}-\tanh ^{-1}\left(e^x\right)",1,"E^(-x) - ArcTanh[E^x]","A",3,3,13,0.2308,1,"{2282, 325, 207}"
335,1,8,0,0.0371258,"\int \frac{1+\cos ^2(x)}{1-\cos ^2(x)} \, dx","Int[(1 + Cos[x]^2)/(1 - Cos[x]^2),x]","-x-2 \cot (x)","-x-2 \cot (x)",1,"-x - 2*Cot[x]","A",4,4,17,0.2353,1,"{3171, 3175, 3767, 8}"
336,1,18,0,0.002827,"\int \frac{1}{x \sqrt{-25+2 x}} \, dx","Int[1/(x*Sqrt[-25 + 2*x]),x]","\frac{2}{5} \tan ^{-1}\left(\frac{1}{5} \sqrt{2 x-25}\right)","\frac{2}{5} \tan ^{-1}\left(\frac{1}{5} \sqrt{2 x-25}\right)",1,"(2*ArcTan[Sqrt[-25 + 2*x]/5])/5","A",2,2,13,0.1538,1,"{63, 203}"
337,1,11,0,0.0500845,"\int \frac{\sin (2 x)}{\sqrt{9-\cos ^4(x)}} \, dx","Int[Sin[2*x]/Sqrt[9 - Cos[x]^4],x]","-\sin ^{-1}\left(\frac{\cos ^2(x)}{3}\right)","-\sin ^{-1}\left(\frac{\cos ^2(x)}{3}\right)",1,"-ArcSin[Cos[x]^2/3]","A",5,4,17,0.2353,1,"{12, 1107, 619, 216}"
338,1,30,0,0.0062046,"\int \frac{x^2}{\sqrt{5-4 x^2}} \, dx","Int[x^2/Sqrt[5 - 4*x^2],x]","\frac{5}{16} \sin ^{-1}\left(\frac{2 x}{\sqrt{5}}\right)-\frac{1}{8} x \sqrt{5-4 x^2}","\frac{5}{16} \sin ^{-1}\left(\frac{2 x}{\sqrt{5}}\right)-\frac{1}{8} x \sqrt{5-4 x^2}",1,"-(x*Sqrt[5 - 4*x^2])/8 + (5*ArcSin[(2*x)/Sqrt[5]])/16","A",2,2,15,0.1333,1,"{321, 216}"
339,1,24,0,0.0371059,"\int x^3 \sin (x) \, dx","Int[x^3*Sin[x],x]","3 x^2 \sin (x)+x^3 (-\cos (x))-6 \sin (x)+6 x \cos (x)","3 x^2 \sin (x)+x^3 (-\cos (x))-6 \sin (x)+6 x \cos (x)",1,"6*x*Cos[x] - x^3*Cos[x] - 6*Sin[x] + 3*x^2*Sin[x]","A",4,2,6,0.3333,1,"{3296, 2637}"
340,1,50,0,0.0145362,"\int x \sqrt{4+2 x+x^2} \, dx","Int[x*Sqrt[4 + 2*x + x^2],x]","\frac{1}{3} \left(x^2+2 x+4\right)^{3/2}-\frac{1}{2} (x+1) \sqrt{x^2+2 x+4}-\frac{3}{2} \sinh ^{-1}\left(\frac{x+1}{\sqrt{3}}\right)","\frac{1}{3} \left(x^2+2 x+4\right)^{3/2}-\frac{1}{2} (x+1) \sqrt{x^2+2 x+4}-\frac{3}{2} \sinh ^{-1}\left(\frac{x+1}{\sqrt{3}}\right)",1,"-((1 + x)*Sqrt[4 + 2*x + x^2])/2 + (4 + 2*x + x^2)^(3/2)/3 - (3*ArcSinh[(1 + x)/Sqrt[3]])/2","A",4,4,14,0.2857,1,"{640, 612, 619, 215}"
341,1,11,0,0.0014835,"\int x \left(5+x^2\right)^8 \, dx","Int[x*(5 + x^2)^8,x]","\frac{1}{18} \left(x^2+5\right)^9","\frac{1}{18} \left(x^2+5\right)^9",1,"(5 + x^2)^9/18","A",1,1,9,0.1111,1,"{261}"
342,1,25,0,0.0265598,"\int \cos ^2(x) \sin ^5(x) \, dx","Int[Cos[x]^2*Sin[x]^5,x]","-\frac{1}{7} \cos ^7(x)+\frac{2 \cos ^5(x)}{5}-\frac{\cos ^3(x)}{3}","-\frac{1}{7} \cos ^7(x)+\frac{2 \cos ^5(x)}{5}-\frac{\cos ^3(x)}{3}",1,"-Cos[x]^3/3 + (2*Cos[x]^5)/5 - Cos[x]^7/7","A",3,2,9,0.2222,1,"{2565, 270}"
343,1,27,0,0.0096246,"\int e^{-3 x} \cos (4 x) \, dx","Int[Cos[4*x]/E^(3*x),x]","\frac{4}{25} e^{-3 x} \sin (4 x)-\frac{3}{25} e^{-3 x} \cos (4 x)","\frac{4}{25} e^{-3 x} \sin (4 x)-\frac{3}{25} e^{-3 x} \cos (4 x)",1,"(-3*Cos[4*x])/(25*E^(3*x)) + (4*Sin[4*x])/(25*E^(3*x))","A",1,1,10,0.1000,1,"{4433}"
344,1,24,0,0.0113921,"\int \csc ^3\left(\frac{x}{2}\right) \, dx","Int[Csc[x/2]^3,x]","-\tanh ^{-1}\left(\cos \left(\frac{x}{2}\right)\right)-\cot \left(\frac{x}{2}\right) \csc \left(\frac{x}{2}\right)","-\tanh ^{-1}\left(\cos \left(\frac{x}{2}\right)\right)-\cot \left(\frac{x}{2}\right) \csc \left(\frac{x}{2}\right)",1,"-ArcTanh[Cos[x/2]] - Cot[x/2]*Csc[x/2]","A",2,2,8,0.2500,1,"{3768, 3770}"
345,1,34,0,0.007611,"\int \frac{\sqrt{-1+9 x^2}}{x^2} \, dx","Int[Sqrt[-1 + 9*x^2]/x^2,x]","3 \tanh ^{-1}\left(\frac{3 x}{\sqrt{9 x^2-1}}\right)-\frac{\sqrt{9 x^2-1}}{x}","3 \tanh ^{-1}\left(\frac{3 x}{\sqrt{9 x^2-1}}\right)-\frac{\sqrt{9 x^2-1}}{x}",1,"-(Sqrt[-1 + 9*x^2]/x) + 3*ArcTanh[(3*x)/Sqrt[-1 + 9*x^2]]","A",3,3,15,0.2000,1,"{277, 217, 206}"
346,1,30,0,0.0165422,"\int \frac{\sqrt{4-3 x^2}}{x} \, dx","Int[Sqrt[4 - 3*x^2]/x,x]","\sqrt{4-3 x^2}-2 \tanh ^{-1}\left(\frac{1}{2} \sqrt{4-3 x^2}\right)","\sqrt{4-3 x^2}-2 \tanh ^{-1}\left(\frac{1}{2} \sqrt{4-3 x^2}\right)",1,"Sqrt[4 - 3*x^2] - 2*ArcTanh[Sqrt[4 - 3*x^2]/2]","A",4,4,15,0.2667,1,"{266, 50, 63, 206}"
347,1,32,0,0.0194959,"\int e^{3 x} x^2 \, dx","Int[E^(3*x)*x^2,x]","\frac{1}{3} e^{3 x} x^2-\frac{2}{9} e^{3 x} x+\frac{2 e^{3 x}}{27}","\frac{1}{3} e^{3 x} x^2-\frac{2}{9} e^{3 x} x+\frac{2 e^{3 x}}{27}",1,"(2*E^(3*x))/27 - (2*E^(3*x)*x)/9 + (E^(3*x)*x^2)/3","A",3,2,9,0.2222,1,"{2176, 2194}"
348,1,23,0,0.0367756,"\int \frac{\cos (x) \sin (x)}{\sqrt{1+\sin (x)}} \, dx","Int[(Cos[x]*Sin[x])/Sqrt[1 + Sin[x]],x]","\frac{2}{3} (\sin (x)+1)^{3/2}-2 \sqrt{\sin (x)+1}","\frac{2}{3} (\sin (x)+1)^{3/2}-2 \sqrt{\sin (x)+1}",1,"-2*Sqrt[1 + Sin[x]] + (2*(1 + Sin[x])^(3/2))/3","A",3,2,13,0.1538,1,"{2833, 43}"
349,1,27,0,0.0152655,"\int x \sin ^{-1}\left(x^2\right) \, dx","Int[x*ArcSin[x^2],x]","\frac{\sqrt{1-x^4}}{2}+\frac{1}{2} x^2 \sin ^{-1}\left(x^2\right)","\frac{\sqrt{1-x^4}}{2}+\frac{1}{2} x^2 \sin ^{-1}\left(x^2\right)",1,"Sqrt[1 - x^4]/2 + (x^2*ArcSin[x^2])/2","A",3,3,6,0.5000,1,"{6715, 4619, 261}"
350,1,38,0,0.0233579,"\int x^3 \sin ^{-1}\left(x^2\right) \, dx","Int[x^3*ArcSin[x^2],x]","\frac{1}{8} \sqrt{1-x^4} x^2+\frac{1}{4} x^4 \sin ^{-1}\left(x^2\right)-\frac{1}{8} \sin ^{-1}\left(x^2\right)","\frac{1}{8} \sqrt{1-x^4} x^2+\frac{1}{4} x^4 \sin ^{-1}\left(x^2\right)-\frac{1}{8} \sin ^{-1}\left(x^2\right)",1,"(x^2*Sqrt[1 - x^4])/8 - ArcSin[x^2]/8 + (x^4*ArcSin[x^2])/4","A",5,5,8,0.6250,1,"{4842, 12, 275, 321, 216}"
351,1,5,0,0.009588,"\int e^x \text{sech}\left(e^x\right) \, dx","Int[E^x*Sech[E^x],x]","\tan ^{-1}\left(\sinh \left(e^x\right)\right)","\tan ^{-1}\left(\sinh \left(e^x\right)\right)",1,"ArcTan[Sinh[E^x]]","A",2,2,8,0.2500,1,"{2282, 3770}"
352,1,29,0,0.0283989,"\int x^2 \cos (3 x) \, dx","Int[x^2*Cos[3*x],x]","\frac{1}{3} x^2 \sin (3 x)-\frac{2}{27} \sin (3 x)+\frac{2}{9} x \cos (3 x)","\frac{1}{3} x^2 \sin (3 x)-\frac{2}{27} \sin (3 x)+\frac{2}{9} x \cos (3 x)",1,"(2*x*Cos[3*x])/9 - (2*Sin[3*x])/27 + (x^2*Sin[3*x])/3","A",3,2,8,0.2500,1,"{3296, 2637}"
353,1,36,0,0.0102789,"\int \sqrt{5-4 x-x^2} \, dx","Int[Sqrt[5 - 4*x - x^2],x]","\frac{1}{2} (x+2) \sqrt{-x^2-4 x+5}-\frac{9}{2} \sin ^{-1}\left(\frac{1}{3} (-x-2)\right)","\frac{1}{2} (x+2) \sqrt{-x^2-4 x+5}-\frac{9}{2} \sin ^{-1}\left(\frac{1}{3} (-x-2)\right)",1,"((2 + x)*Sqrt[5 - 4*x - x^2])/2 - (9*ArcSin[(-2 - x)/3])/2","A",3,3,14,0.2143,1,"{612, 619, 216}"
354,1,28,0,0.0191322,"\int \frac{x^5}{\sqrt{2}+x^2} \, dx","Int[x^5/(Sqrt[2] + x^2),x]","\frac{x^4}{4}-\frac{x^2}{\sqrt{2}}+\log \left(x^2+\sqrt{2}\right)","\frac{x^4}{4}-\frac{x^2}{\sqrt{2}}+\log \left(x^2+\sqrt{2}\right)",1,"-(x^2/Sqrt[2]) + x^4/4 + Log[Sqrt[2] + x^2]","A",3,2,15,0.1333,1,"{266, 43}"
355,1,26,0,0.0143809,"\int \sec ^5(x) \, dx","Int[Sec[x]^5,x]","\frac{3}{8} \tanh ^{-1}(\sin (x))+\frac{1}{4} \tan (x) \sec ^3(x)+\frac{3}{8} \tan (x) \sec (x)","\frac{3}{8} \tanh ^{-1}(\sin (x))+\frac{1}{4} \tan (x) \sec ^3(x)+\frac{3}{8} \tan (x) \sec (x)",1,"(3*ArcTanh[Sin[x]])/8 + (3*Sec[x]*Tan[x])/8 + (Sec[x]^3*Tan[x])/4","A",3,2,4,0.5000,1,"{3768, 3770}"
356,1,46,0,0.0197261,"\int \sin ^6(2 x) \, dx","Int[Sin[2*x]^6,x]","\frac{5 x}{16}-\frac{1}{12} \sin ^5(2 x) \cos (2 x)-\frac{5}{48} \sin ^3(2 x) \cos (2 x)-\frac{5}{32} \sin (2 x) \cos (2 x)","\frac{5 x}{16}-\frac{1}{12} \sin ^5(2 x) \cos (2 x)-\frac{5}{48} \sin ^3(2 x) \cos (2 x)-\frac{5}{32} \sin (2 x) \cos (2 x)",1,"(5*x)/16 - (5*Cos[2*x]*Sin[2*x])/32 - (5*Cos[2*x]*Sin[2*x]^3)/48 - (Cos[2*x]*Sin[2*x]^5)/12","A",4,2,6,0.3333,1,"{2635, 8}"
357,1,20,0,0.0348471,"\int \cos (x) \log (\sin (x)) \sin ^2(x) \, dx","Int[Cos[x]*Log[Sin[x]]*Sin[x]^2,x]","\frac{1}{3} \sin ^3(x) \log (\sin (x))-\frac{\sin ^3(x)}{9}","\frac{1}{3} \sin ^3(x) \log (\sin (x))-\frac{\sin ^3(x)}{9}",1,"-Sin[x]^3/9 + (Log[Sin[x]]*Sin[x]^3)/3","A",4,4,10,0.4000,1,"{2564, 30, 2554, 12}"
358,1,21,0,0.0259144,"\int \frac{e^{-x}}{1+2 e^x} \, dx","Int[1/(E^x*(1 + 2*E^x)),x]","-2 x-e^{-x}+2 \log \left(2 e^x+1\right)","-2 x-e^{-x}+2 \log \left(2 e^x+1\right)",1,"-E^(-x) - 2*x + 2*Log[1 + 2*E^x]","A",3,2,15,0.1333,1,"{2248, 44}"
359,1,37,0,0.0405188,"\int \sqrt{2+3 \cos (x)} \tan (x) \, dx","Int[Sqrt[2 + 3*Cos[x]]*Tan[x],x]","2 \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{3 \cos (x)+2}}{\sqrt{2}}\right)-2 \sqrt{3 \cos (x)+2}","2 \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{3 \cos (x)+2}}{\sqrt{2}}\right)-2 \sqrt{3 \cos (x)+2}",1,"2*Sqrt[2]*ArcTanh[Sqrt[2 + 3*Cos[x]]/Sqrt[2]] - 2*Sqrt[2 + 3*Cos[x]]","A",4,4,13,0.3077,1,"{2721, 50, 63, 207}"
360,1,28,0,0.0077534,"\int \frac{x}{\sqrt{-4 x+x^2}} \, dx","Int[x/Sqrt[-4*x + x^2],x]","\sqrt{x^2-4 x}+4 \tanh ^{-1}\left(\frac{x}{\sqrt{x^2-4 x}}\right)","\sqrt{x^2-4 x}+4 \tanh ^{-1}\left(\frac{x}{\sqrt{x^2-4 x}}\right)",1,"Sqrt[-4*x + x^2] + 4*ArcTanh[x/Sqrt[-4*x + x^2]]","A",3,3,13,0.2308,1,"{640, 620, 206}"
361,1,19,0,0.0086871,"\int \cos ^5(x) \, dx","Int[Cos[x]^5,x]","\frac{\sin ^5(x)}{5}-\frac{2 \sin ^3(x)}{3}+\sin (x)","\frac{\sin ^5(x)}{5}-\frac{2 \sin ^3(x)}{3}+\sin (x)",1,"Sin[x] - (2*Sin[x]^3)/3 + Sin[x]^5/5","A",2,1,4,0.2500,1,"{2633}"
362,1,46,0,0.0403911,"\int e^{-x} x^4 \, dx","Int[x^4/E^x,x]","-e^{-x} x^4-4 e^{-x} x^3-12 e^{-x} x^2-24 e^{-x} x-24 e^{-x}","-e^{-x} x^4-4 e^{-x} x^3-12 e^{-x} x^2-24 e^{-x} x-24 e^{-x}",1,"-24/E^x - (24*x)/E^x - (12*x^2)/E^x - (4*x^3)/E^x - x^4/E^x","A",5,2,9,0.2222,1,"{2176, 2194}"
363,1,18,0,0.007273,"\int \frac{x^4}{\sqrt{-2+x^{10}}} \, dx","Int[x^4/Sqrt[-2 + x^10],x]","\frac{1}{5} \tanh ^{-1}\left(\frac{x^5}{\sqrt{x^{10}-2}}\right)","\frac{1}{5} \tanh ^{-1}\left(\frac{x^5}{\sqrt{x^{10}-2}}\right)",1,"ArcTanh[x^5/Sqrt[-2 + x^10]]/5","A",3,3,13,0.2308,1,"{275, 217, 206}"
364,1,27,0,0.0089086,"\int e^x \cos (4+3 x) \, dx","Int[E^x*Cos[4 + 3*x],x]","\frac{3}{10} e^x \sin (3 x+4)+\frac{1}{10} e^x \cos (3 x+4)","\frac{3}{10} e^x \sin (3 x+4)+\frac{1}{10} e^x \cos (3 x+4)",1,"(E^x*Cos[4 + 3*x])/10 + (3*E^x*Sin[4 + 3*x])/10","A",1,1,10,0.1000,1,"{4433}"
365,1,22,0,0.0295601,"\int e^x \log \left(1+e^x\right) \, dx","Int[E^x*Log[1 + E^x],x]","-e^x+e^x \log \left(e^x+1\right)+\log \left(e^x+1\right)","\left(e^x+1\right) \log \left(e^x+1\right)-e^x",1,"-E^x + Log[1 + E^x] + E^x*Log[1 + E^x]","A",4,4,10,0.4000,1,"{2194, 2554, 2248, 43}"
366,1,27,0,0.0162793,"\int x^2 \tan ^{-1}(x) \, dx","Int[x^2*ArcTan[x],x]","-\frac{x^2}{6}+\frac{1}{6} \log \left(x^2+1\right)+\frac{1}{3} x^3 \tan ^{-1}(x)","-\frac{x^2}{6}+\frac{1}{6} \log \left(x^2+1\right)+\frac{1}{3} x^3 \tan ^{-1}(x)",1,"-x^2/6 + (x^3*ArcTan[x])/3 + Log[1 + x^2]/6","A",4,3,6,0.5000,1,"{4852, 266, 43}"
367,1,26,0,0.0119735,"\int \sqrt{-1+e^{2 x}} \, dx","Int[Sqrt[-1 + E^(2*x)],x]","\sqrt{e^{2 x}-1}-\tan ^{-1}\left(\sqrt{e^{2 x}-1}\right)","\sqrt{e^{2 x}-1}-\tan ^{-1}\left(\sqrt{e^{2 x}-1}\right)",1,"Sqrt[-1 + E^(2*x)] - ArcTan[Sqrt[-1 + E^(2*x)]]","A",4,4,11,0.3636,1,"{2282, 50, 63, 203}"
368,1,15,0,0.0165931,"\int e^{\sin (x)} \sin (2 x) \, dx","Int[E^Sin[x]*Sin[2*x],x]","2 e^{\sin (x)} \sin (x)-2 e^{\sin (x)}","2 e^{\sin (x)} \sin (x)-2 e^{\sin (x)}",1,"-2*E^Sin[x] + 2*E^Sin[x]*Sin[x]","A",4,3,9,0.3333,1,"{12, 2176, 2194}"
369,1,47,0,0.0098578,"\int x^2 \sqrt{5-x^2} \, dx","Int[x^2*Sqrt[5 - x^2],x]","\frac{1}{4} \sqrt{5-x^2} x^3-\frac{5}{8} \sqrt{5-x^2} x+\frac{25}{8} \sin ^{-1}\left(\frac{x}{\sqrt{5}}\right)","\frac{1}{4} \sqrt{5-x^2} x^3-\frac{5}{8} \sqrt{5-x^2} x+\frac{25}{8} \sin ^{-1}\left(\frac{x}{\sqrt{5}}\right)",1,"(-5*x*Sqrt[5 - x^2])/8 + (x^3*Sqrt[5 - x^2])/4 + (25*ArcSin[x/Sqrt[5]])/8","A",3,3,15,0.2000,1,"{279, 321, 216}"
370,1,11,0,0.0017565,"\int x^2 \left(1+x^3\right)^4 \, dx","Int[x^2*(1 + x^3)^4,x]","\frac{1}{15} \left(x^3+1\right)^5","\frac{1}{15} \left(x^3+1\right)^5",1,"(1 + x^3)^5/15","A",1,1,11,0.09091,1,"{261}"
371,1,17,0,0.0222371,"\int \cos ^3(x) \sin ^3(x) \, dx","Int[Cos[x]^3*Sin[x]^3,x]","\frac{\sin ^4(x)}{4}-\frac{\sin ^6(x)}{6}","\frac{\sin ^4(x)}{4}-\frac{\sin ^6(x)}{6}",1,"Sin[x]^4/4 - Sin[x]^6/6","A",3,2,9,0.2222,1,"{2564, 14}"
372,1,17,0,0.0232369,"\int \sec ^4(x) \tan ^2(x) \, dx","Int[Sec[x]^4*Tan[x]^2,x]","\frac{\tan ^5(x)}{5}+\frac{\tan ^3(x)}{3}","\frac{\tan ^5(x)}{5}+\frac{\tan ^3(x)}{3}",1,"Tan[x]^3/3 + Tan[x]^5/5","A",3,2,9,0.2222,1,"{2607, 14}"
373,1,27,0,0.0048999,"\int x \sqrt{1+2 x} \, dx","Int[x*Sqrt[1 + 2*x],x]","\frac{1}{10} (2 x+1)^{5/2}-\frac{1}{6} (2 x+1)^{3/2}","\frac{1}{10} (2 x+1)^{5/2}-\frac{1}{6} (2 x+1)^{3/2}",1,"-(1 + 2*x)^(3/2)/6 + (1 + 2*x)^(5/2)/10","A",2,1,11,0.09091,1,"{43}"
374,1,24,0,0.009457,"\int \sin ^4(x) \, dx","Int[Sin[x]^4,x]","\frac{3 x}{8}-\frac{1}{4} \sin ^3(x) \cos (x)-\frac{3}{8} \sin (x) \cos (x)","\frac{3 x}{8}-\frac{1}{4} \sin ^3(x) \cos (x)-\frac{3}{8} \sin (x) \cos (x)",1,"(3*x)/8 - (3*Cos[x]*Sin[x])/8 - (Cos[x]*Sin[x]^3)/4","A",3,2,4,0.5000,1,"{2635, 8}"
375,1,12,0,0.0063899,"\int \tan ^3(x) \, dx","Int[Tan[x]^3,x]","\frac{\tan ^2(x)}{2}+\log (\cos (x))","\frac{\tan ^2(x)}{2}+\log (\cos (x))",1,"Log[Cos[x]] + Tan[x]^2/2","A",2,2,4,0.5000,1,"{3473, 3475}"
376,1,40,0,0.0135769,"\int x^5 \sqrt{1+x^2} \, dx","Int[x^5*Sqrt[1 + x^2],x]","\frac{1}{7} \left(x^2+1\right)^{7/2}-\frac{2}{5} \left(x^2+1\right)^{5/2}+\frac{1}{3} \left(x^2+1\right)^{3/2}","\frac{1}{7} \left(x^2+1\right)^{7/2}-\frac{2}{5} \left(x^2+1\right)^{5/2}+\frac{1}{3} \left(x^2+1\right)^{3/2}",1,"(1 + x^2)^(3/2)/3 - (2*(1 + x^2)^(5/2))/5 + (1 + x^2)^(7/2)/7","A",3,2,13,0.1538,1,"{266, 43}"