1,0,0,11,0.0000449,"\int x^n \, dx","IntegrateAlgebraic[x^n,x]","\int x^n \, dx","\frac{x^{n+1}}{n+1}",1,"Could not integrate","F",-1
2,0,0,3,0.000042,"\int e^x \, dx","IntegrateAlgebraic[E^x,x]","\int e^x \, dx","e^x",1,"Could not integrate","F",-1
3,1,2,2,0.0000744,"\int \frac{1}{x} \, dx","IntegrateAlgebraic[x^(-1),x]","\log (x)","\log (x)",1,"Log[x]","A",1
4,0,0,8,0.0000404,"\int a^x \, dx","IntegrateAlgebraic[a^x,x]","\int a^x \, dx","\frac{a^x}{\log (a)}",1,"Could not integrate","F",-1
5,0,0,4,0.0000242,"\int \sin (x) \, dx","IntegrateAlgebraic[Sin[x],x]","\int \sin (x) \, dx","-\cos (x)",1,"Could not integrate","F",-1
6,0,0,2,0.000025,"\int \cos (x) \, dx","IntegrateAlgebraic[Cos[x],x]","\int \cos (x) \, dx","\sin (x)",1,"Could not integrate","F",-1
7,0,0,2,0.000026,"\int \sec ^2(x) \, dx","IntegrateAlgebraic[Sec[x]^2,x]","\int \sec ^2(x) \, dx","\tan (x)",1,"Could not integrate","F",-1
8,0,0,4,0.0000239,"\int \csc ^2(x) \, dx","IntegrateAlgebraic[Csc[x]^2,x]","\int \csc ^2(x) \, dx","-\cot (x)",1,"Could not integrate","F",-1
9,0,0,2,0.0000279,"\int \sec (x) \tan (x) \, dx","IntegrateAlgebraic[Sec[x]*Tan[x],x]","\int \sec (x) \tan (x) \, dx","\sec (x)",1,"Could not integrate","F",-1
10,0,0,4,0.0000374,"\int \cot (x) \csc (x) \, dx","IntegrateAlgebraic[Cot[x]*Csc[x],x]","\int \cot (x) \csc (x) \, dx","-\csc (x)",1,"Could not integrate","F",-1
11,0,0,2,0.0000237,"\int \sinh (x) \, dx","IntegrateAlgebraic[Sinh[x],x]","\int \sinh (x) \, dx","\cosh (x)",1,"Could not integrate","F",-1
12,0,0,2,0.0000225,"\int \cosh (x) \, dx","IntegrateAlgebraic[Cosh[x],x]","\int \cosh (x) \, dx","\sinh (x)",1,"Could not integrate","F",-1
13,0,0,5,0.0000233,"\int \tan (x) \, dx","IntegrateAlgebraic[Tan[x],x]","\int \tan (x) \, dx","-\log (\cos (x))",1,"Could not integrate","F",-1
14,0,0,3,0.0000221,"\int \cot (x) \, dx","IntegrateAlgebraic[Cot[x],x]","\int \cot (x) \, dx","\log (\sin (x))",1,"Could not integrate","F",-1
15,0,0,8,0.0000243,"\int x \sin (x) \, dx","IntegrateAlgebraic[x*Sin[x],x]","\int x \sin (x) \, dx","\sin (x)-x \cos (x)",1,"Could not integrate","F",-1
16,0,0,8,0.0000255,"\int \log (x) \, dx","IntegrateAlgebraic[Log[x],x]","\int \log (x) \, dx","x \log (x)-x",1,"Could not integrate","F",-1
17,0,0,19,0.0000505,"\int e^x x^2 \, dx","IntegrateAlgebraic[E^x*x^2,x]","\int e^x x^2 \, dx","e^x x^2-2 e^x x+2 e^x",1,"Could not integrate","F",-1
18,0,0,19,0.0000267,"\int e^x \sin (x) \, dx","IntegrateAlgebraic[E^x*Sin[x],x]","\int e^x \sin (x) \, dx","\frac{1}{2} e^x \sin (x)-\frac{1}{2} e^x \cos (x)",1,"Could not integrate","F",-1
19,0,0,15,0.0000244,"\int \tan ^{-1}(x) \, dx","IntegrateAlgebraic[ArcTan[x],x]","\int \tan ^{-1}(x) \, dx","x \tan ^{-1}(x)-\frac{1}{2} \log \left(x^2+1\right)",1,"Could not integrate","F",-1
20,0,0,20,0.0000484,"\int e^{2 x} x \, dx","IntegrateAlgebraic[E^(2*x)*x,x]","\int e^{2 x} x \, dx","\frac{1}{2} e^{2 x} x-\frac{e^{2 x}}{4}",1,"Could not integrate","F",-1
21,0,0,7,0.0000263,"\int x \cos (x) \, dx","IntegrateAlgebraic[x*Cos[x],x]","\int x \cos (x) \, dx","x \sin (x)+\cos (x)",1,"Could not integrate","F",-1
22,0,0,18,0.0000269,"\int x \sin (4 x) \, dx","IntegrateAlgebraic[x*Sin[4*x],x]","\int x \sin (4 x) \, dx","\frac{1}{16} \sin (4 x)-\frac{1}{4} x \cos (4 x)",1,"Could not integrate","F",-1
23,0,0,17,0.0000282,"\int x \log (x) \, dx","IntegrateAlgebraic[x*Log[x],x]","\int x \log (x) \, dx","\frac{1}{2} x^2 \log (x)-\frac{x^2}{4}",1,"Could not integrate","F",-1
24,0,0,29,0.0000267,"\int x^2 \cos (3 x) \, dx","IntegrateAlgebraic[x^2*Cos[3*x],x]","\int x^2 \cos (3 x) \, dx","\frac{1}{3} x^2 \sin (3 x)-\frac{2}{27} \sin (3 x)+\frac{2}{9} x \cos (3 x)",1,"Could not integrate","F",-1
25,0,0,29,0.0000286,"\int x^2 \sin (2 x) \, dx","IntegrateAlgebraic[x^2*Sin[2*x],x]","\int x^2 \sin (2 x) \, dx","-\frac{1}{2} x^2 \cos (2 x)+\frac{1}{2} x \sin (2 x)+\frac{1}{4} \cos (2 x)",1,"Could not integrate","F",-1
26,0,0,15,0.0000512,"\int \log ^2(x) \, dx","IntegrateAlgebraic[Log[x]^2,x]","\int \log ^2(x) \, dx","2 x+x \log ^2(x)-2 x \log (x)",1,"Could not integrate","F",-1
27,0,0,16,0.0000235,"\int \sin ^{-1}(x) \, dx","IntegrateAlgebraic[ArcSin[x],x]","\int \sin ^{-1}(x) \, dx","\sqrt{1-x^2}+x \sin ^{-1}(x)",1,"Could not integrate","F",-1
28,0,0,23,0.000028,"\int t \cos (t) \sin (t) \, dt","IntegrateAlgebraic[t*Cos[t]*Sin[t],t]","\int t \cos (t) \sin (t) \, dt","-\frac{t}{4}+\frac{1}{2} t \sin ^2(t)+\frac{1}{4} \sin (t) \cos (t)",1,"Could not integrate","F",-1
29,0,0,8,0.0000333,"\int t \sec ^2(t) \, dt","IntegrateAlgebraic[t*Sec[t]^2,t]","\int t \sec ^2(t) \, dt","t \tan (t)+\log (\cos (t))",1,"Could not integrate","F",-1
30,0,0,17,0.0000257,"\int t^2 \log (t) \, dt","IntegrateAlgebraic[t^2*Log[t],t]","\int t^2 \log (t) \, dt","\frac{1}{3} t^3 \log (t)-\frac{t^3}{9}",1,"Could not integrate","F",-1
31,0,0,27,0.0000861,"\int e^t t^3 \, dt","IntegrateAlgebraic[E^t*t^3,t]","\int e^t t^3 \, dt","e^t t^3-3 e^t t^2+6 e^t t-6 e^t",1,"Could not integrate","F",-1
32,0,0,27,0.0000361,"\int e^{2 t} \sin (3 t) \, dt","IntegrateAlgebraic[E^(2*t)*Sin[3*t],t]","\int e^{2 t} \sin (3 t) \, dt","\frac{2}{13} e^{2 t} \sin (3 t)-\frac{3}{13} e^{2 t} \cos (3 t)",1,"Could not integrate","F",-1
33,0,0,27,0.0000349,"\int e^{-t} \cos (3 t) \, dt","IntegrateAlgebraic[Cos[3*t]/E^t,t]","\int e^{-t} \cos (3 t) \, dt","\frac{3}{10} e^{-t} \sin (3 t)-\frac{1}{10} e^{-t} \cos (3 t)",1,"Could not integrate","F",-1
34,0,0,9,0.0000247,"\int y \sinh (y) \, dy","IntegrateAlgebraic[y*Sinh[y],y]","\int y \sinh (y) \, dy","y \cosh (y)-\sinh (y)",1,"Could not integrate","F",-1
35,0,0,19,0.0000309,"\int y \cosh (a y) \, dy","IntegrateAlgebraic[y*Cosh[a*y],y]","\int y \cosh (a y) \, dy","\frac{y \sinh (a y)}{a}-\frac{\cosh (a y)}{a^2}",1,"Could not integrate","F",-1
36,0,0,16,0.0000581,"\int e^{-t} t \, dt","IntegrateAlgebraic[t/E^t,t]","\int e^{-t} t \, dt","-e^{-t} t-e^{-t}",1,"Could not integrate","F",-1
37,0,0,21,0.0000257,"\int \sqrt{t} \log (t) \, dt","IntegrateAlgebraic[Sqrt[t]*Log[t],t]","\int \sqrt{t} \log (t) \, dt","\frac{2}{3} t^{3/2} \log (t)-\frac{4 t^{3/2}}{9}",1,"Could not integrate","F",-1
38,0,0,18,0.0000257,"\int x \cos (2 x) \, dx","IntegrateAlgebraic[x*Cos[2*x],x]","\int x \cos (2 x) \, dx","\frac{1}{2} x \sin (2 x)+\frac{1}{4} \cos (2 x)",1,"Could not integrate","F",-1
39,0,0,26,0.0000503,"\int e^{-x} x^2 \, dx","IntegrateAlgebraic[x^2/E^x,x]","\int e^{-x} x^2 \, dx","-e^{-x} x^2-2 e^{-x} x-2 e^{-x}",1,"Could not integrate","F",-1
40,0,0,18,0.0000259,"\int \cos ^{-1}(x) \, dx","IntegrateAlgebraic[ArcCos[x],x]","\int \cos ^{-1}(x) \, dx","x \cos ^{-1}(x)-\sqrt{1-x^2}",1,"Could not integrate","F",-1
41,0,0,9,0.0000281,"\int x \csc ^2(x) \, dx","IntegrateAlgebraic[x*Csc[x]^2,x]","\int x \csc ^2(x) \, dx","\log (\sin (x))-x \cot (x)",1,"Could not integrate","F",-1
42,0,0,17,0.0000295,"\int \cos (5 x) \sin (3 x) \, dx","IntegrateAlgebraic[Cos[5*x]*Sin[3*x],x]","\int \cos (5 x) \sin (3 x) \, dx","\frac{1}{4} \cos (2 x)-\frac{1}{16} \cos (8 x)",1,"Could not integrate","F",-1
43,0,0,17,0.0000297,"\int \sin (2 x) \sin (4 x) \, dx","IntegrateAlgebraic[Sin[2*x]*Sin[4*x],x]","\int \sin (2 x) \sin (4 x) \, dx","\frac{1}{4} \sin (2 x)-\frac{1}{12} \sin (6 x)",1,"Could not integrate","F",-1
44,0,0,11,0.0000271,"\int \cos (x) \log (\sin (x)) \, dx","IntegrateAlgebraic[Cos[x]*Log[Sin[x]],x]","\int \cos (x) \log (\sin (x)) \, dx","\sin (x) \log (\sin (x))-\sin (x)",1,"Could not integrate","F",-1
45,0,0,22,0.00007,"\int e^{x^2} x^3 \, dx","IntegrateAlgebraic[E^x^2*x^3,x]","\int e^{x^2} x^3 \, dx","\frac{1}{2} e^{x^2} x^2-\frac{e^{x^2}}{2}",1,"Could not integrate","F",-1
46,0,0,15,0.0000563,"\int e^x (3+2 x) \, dx","IntegrateAlgebraic[E^x*(3 + 2*x),x]","\int e^x (3+2 x) \, dx","e^x (2 x+3)-2 e^x",1,"Could not integrate","F",-1
47,0,0,19,0.0000492,"\int 5^x x \, dx","IntegrateAlgebraic[5^x*x,x]","\int 5^x x \, dx","\frac{5^x x}{\log (5)}-\frac{5^x}{\log ^2(5)}",1,"Could not integrate","F",-1
48,0,0,17,0.0000243,"\int \cos (\log (x)) \, dx","IntegrateAlgebraic[Cos[Log[x]],x]","\int \cos (\log (x)) \, dx","\frac{1}{2} x \sin (\log (x))+\frac{1}{2} x \cos (\log (x))",1,"Could not integrate","F",-1
49,0,0,24,0.0000492,"\int e^{\sqrt{x}} \, dx","IntegrateAlgebraic[E^Sqrt[x],x]","\int e^{\sqrt{x}} \, dx","2 e^{\sqrt{x}} \sqrt{x}-2 e^{\sqrt{x}}",1,"Could not integrate","F",-1
50,0,0,14,0.0000246,"\int \log \left(\sqrt{x}\right) \, dx","IntegrateAlgebraic[Log[Sqrt[x]],x]","\int \log \left(\sqrt{x}\right) \, dx","x \log \left(\sqrt{x}\right)-\frac{x}{2}",1,"Could not integrate","F",-1
51,0,0,17,0.0000244,"\int \sin (\log (x)) \, dx","IntegrateAlgebraic[Sin[Log[x]],x]","\int \sin (\log (x)) \, dx","\frac{1}{2} x \sin (\log (x))-\frac{1}{2} x \cos (\log (x))",1,"Could not integrate","F",-1
52,0,0,22,0.0000238,"\int \sin \left(\sqrt{x}\right) \, dx","IntegrateAlgebraic[Sin[Sqrt[x]],x]","\int \sin \left(\sqrt{x}\right) \, dx","2 \sin \left(\sqrt{x}\right)-2 \sqrt{x} \cos \left(\sqrt{x}\right)",1,"Could not integrate","F",-1
53,0,0,20,0.0000264,"\int x^5 \cos \left(x^3\right) \, dx","IntegrateAlgebraic[x^5*Cos[x^3],x]","\int x^5 \cos \left(x^3\right) \, dx","\frac{1}{3} x^3 \sin \left(x^3\right)+\frac{\cos \left(x^3\right)}{3}",1,"Could not integrate","F",-1
54,0,0,28,0.0000906,"\int e^{x^2} x^5 \, dx","IntegrateAlgebraic[E^x^2*x^5,x]","\int e^{x^2} x^5 \, dx","-e^{x^2} x^2+e^{x^2}+\frac{1}{2} e^{x^2} x^4",1,"Could not integrate","F",-1
55,0,0,21,0.0000269,"\int x \tan ^{-1}(x) \, dx","IntegrateAlgebraic[x*ArcTan[x],x]","\int x \tan ^{-1}(x) \, dx","\frac{1}{2} x^2 \tan ^{-1}(x)-\frac{x}{2}+\frac{1}{2} \tan ^{-1}(x)",1,"Could not integrate","F",-1
56,0,0,18,0.0000296,"\int x \cos (\pi  x) \, dx","IntegrateAlgebraic[x*Cos[Pi*x],x]","\int x \cos (\pi  x) \, dx","\frac{x \sin (\pi  x)}{\pi }+\frac{\cos (\pi  x)}{\pi ^2}",1,"Could not integrate","F",-1
57,0,0,21,0.0000271,"\int \sqrt{x} \log (x) \, dx","IntegrateAlgebraic[Sqrt[x]*Log[x],x]","\int \sqrt{x} \log (x) \, dx","\frac{2}{3} x^{3/2} \log (x)-\frac{4 x^{3/2}}{9}",1,"Could not integrate","F",-1
58,0,0,18,0.0000261,"\int \sin ^2(3 x) \, dx","IntegrateAlgebraic[Sin[3*x]^2,x]","\int \sin ^2(3 x) \, dx","\frac{x}{2}-\frac{1}{6} \sin (3 x) \cos (3 x)",1,"Could not integrate","F",-1
59,0,0,14,0.0000254,"\int \cos ^2(x) \, dx","IntegrateAlgebraic[Cos[x]^2,x]","\int \cos ^2(x) \, dx","\frac{x}{2}+\frac{1}{2} \sin (x) \cos (x)",1,"Could not integrate","F",-1
60,0,0,24,0.0000263,"\int \cos ^4(x) \, dx","IntegrateAlgebraic[Cos[x]^4,x]","\int \cos ^4(x) \, dx","\frac{3 x}{8}+\frac{1}{4} \sin (x) \cos ^3(x)+\frac{3}{8} \sin (x) \cos (x)",1,"Could not integrate","F",-1
61,0,0,13,0.0000232,"\int \sin ^3(x) \, dx","IntegrateAlgebraic[Sin[x]^3,x]","\int \sin ^3(x) \, dx","\frac{\cos ^3(x)}{3}-\cos (x)",1,"Could not integrate","F",-1
62,0,0,17,0.0000295,"\int \cos ^4(x) \sin ^3(x) \, dx","IntegrateAlgebraic[Cos[x]^4*Sin[x]^3,x]","\int \cos ^4(x) \sin ^3(x) \, dx","\frac{\cos ^7(x)}{7}-\frac{\cos ^5(x)}{5}",1,"Could not integrate","F",-1
63,0,0,17,0.0000277,"\int \cos ^3(x) \sin ^4(x) \, dx","IntegrateAlgebraic[Cos[x]^3*Sin[x]^4,x]","\int \cos ^3(x) \sin ^4(x) \, dx","\frac{\sin ^5(x)}{5}-\frac{\sin ^7(x)}{7}",1,"Could not integrate","F",-1
64,0,0,36,0.0000285,"\int \cos ^2(x) \sin ^4(x) \, dx","IntegrateAlgebraic[Cos[x]^2*Sin[x]^4,x]","\int \cos ^2(x) \sin ^4(x) \, dx","\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,"Could not integrate","F",-1
65,0,0,24,0.0000297,"\int \cos ^2(x) \sin ^2(x) \, dx","IntegrateAlgebraic[Cos[x]^2*Sin[x]^2,x]","\int \cos ^2(x) \sin ^2(x) \, dx","\frac{x}{8}-\frac{1}{4} \sin (x) \cos ^3(x)+\frac{1}{8} \sin (x) \cos (x)",1,"Could not integrate","F",-1
66,0,0,22,0.0000359,"\int (1-\sin (2 x))^2 \, dx","IntegrateAlgebraic[(1 - Sin[2*x])^2,x]","\int (1-\sin (2 x))^2 \, dx","\frac{3 x}{2}+\cos (2 x)-\frac{1}{4} \sin (2 x) \cos (2 x)",1,"Could not integrate","F",-1
67,0,0,20,0.0000319,"\int \cos (x) \sin \left(\frac{\pi }{6}+x\right) \, dx","IntegrateAlgebraic[Cos[x]*Sin[Pi/6 + x],x]","\int \cos (x) \sin \left(\frac{\pi }{6}+x\right) \, dx","\frac{x}{4}-\frac{1}{4} \cos \left(2 x+\frac{\pi }{6}\right)",1,"Could not integrate","F",-1
68,0,0,25,0.0000312,"\int \cos ^5(x) \sin ^5(x) \, dx","IntegrateAlgebraic[Cos[x]^5*Sin[x]^5,x]","\int \cos ^5(x) \sin ^5(x) \, dx","\frac{\sin ^{10}(x)}{10}-\frac{\sin ^8(x)}{4}+\frac{\sin ^6(x)}{6}",1,"Could not integrate","F",-1
69,0,0,34,0.0000253,"\int \sin ^6(x) \, dx","IntegrateAlgebraic[Sin[x]^6,x]","\int \sin ^6(x) \, dx","\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,"Could not integrate","F",-1
70,0,0,34,0.0000318,"\int \cos ^6(x) \, dx","IntegrateAlgebraic[Cos[x]^6,x]","\int \cos ^6(x) \, dx","\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,"Could not integrate","F",-1
71,0,0,46,0.0000311,"\int \cos ^4(2 x) \sin ^2(2 x) \, dx","IntegrateAlgebraic[Cos[2*x]^4*Sin[2*x]^2,x]","\int \cos ^4(2 x) \sin ^2(2 x) \, dx","\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,"Could not integrate","F",-1
72,0,0,21,0.0000268,"\int \sin ^5(x) \, dx","IntegrateAlgebraic[Sin[x]^5,x]","\int \sin ^5(x) \, dx","-\frac{1}{5} \cos ^5(x)+\frac{2 \cos ^3(x)}{3}-\cos (x)",1,"Could not integrate","F",-1
73,0,0,46,0.0000341,"\int \cos ^4(x) \sin ^4(x) \, dx","IntegrateAlgebraic[Cos[x]^4*Sin[x]^4,x]","\int \cos ^4(x) \sin ^4(x) \, dx","\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,"Could not integrate","F",-1
74,0,0,21,0.0000371,"\int \sqrt{\cos (x)} \sin ^3(x) \, dx","IntegrateAlgebraic[Sqrt[Cos[x]]*Sin[x]^3,x]","\int \sqrt{\cos (x)} \sin ^3(x) \, dx","\frac{2}{7} \cos ^{\frac{7}{2}}(x)-\frac{2}{3} \cos ^{\frac{3}{2}}(x)",1,"Could not integrate","F",-1
75,0,0,21,0.0000284,"\int \cos ^3(x) \sqrt{\sin (x)} \, dx","IntegrateAlgebraic[Cos[x]^3*Sqrt[Sin[x]],x]","\int \cos ^3(x) \sqrt{\sin (x)} \, dx","\frac{2}{3} \sin ^{\frac{3}{2}}(x)-\frac{2}{7} \sin ^{\frac{7}{2}}(x)",1,"Could not integrate","F",-1
76,0,0,19,0.0000304,"\int \frac{\cos ^2\left(\sqrt{x}\right)}{\sqrt{x}} \, dx","IntegrateAlgebraic[Cos[Sqrt[x]]^2/Sqrt[x],x]","\int \frac{\cos ^2\left(\sqrt{x}\right)}{\sqrt{x}} \, dx","\sqrt{x}+\sin \left(\sqrt{x}\right) \cos \left(\sqrt{x}\right)",1,"Could not integrate","F",-1
77,0,0,19,0.0000276,"\int x \sin ^3\left(x^2\right) \, dx","IntegrateAlgebraic[x*Sin[x^2]^3,x]","\int x \sin ^3\left(x^2\right) \, dx","\frac{1}{6} \cos ^3\left(x^2\right)-\frac{\cos \left(x^2\right)}{2}",1,"Could not integrate","F",-1
78,0,0,14,0.00003,"\int \sin ^2(x) \tan (x) \, dx","IntegrateAlgebraic[Sin[x]^2*Tan[x],x]","\int \sin ^2(x) \tan (x) \, dx","\frac{\cos ^2(x)}{2}-\log (\cos (x))",1,"Could not integrate","F",-1
79,0,0,22,0.0000271,"\int \cos ^2(x) \cot ^3(x) \, dx","IntegrateAlgebraic[Cos[x]^2*Cot[x]^3,x]","\int \cos ^2(x) \cot ^3(x) \, dx","\frac{\sin ^2(x)}{2}-\frac{1}{2} \csc ^2(x)-2 \log (\sin (x))",1,"Could not integrate","F",-1
80,0,0,5,0.0000292,"\int \sec (x) (1-\sin (x)) \, dx","IntegrateAlgebraic[Sec[x]*(1 - Sin[x]),x]","\int \sec (x) (1-\sin (x)) \, dx","\log (\sin (x)+1)",1,"Could not integrate","F",-1
81,0,0,11,0.0000256,"\int \frac{1}{1-\sin (x)} \, dx","IntegrateAlgebraic[(1 - Sin[x])^(-1),x]","\int \frac{1}{1-\sin (x)} \, dx","\frac{\cos (x)}{1-\sin (x)}",1,"Could not integrate","F",-1
82,0,0,6,0.0000232,"\int \tan ^2(x) \, dx","IntegrateAlgebraic[Tan[x]^2,x]","\int \tan ^2(x) \, dx","\tan (x)-x",1,"Could not integrate","F",-1
83,0,0,14,0.0000497,"\int \tan ^4(x) \, dx","IntegrateAlgebraic[Tan[x]^4,x]","\int \tan ^4(x) \, dx","x+\frac{\tan ^3(x)}{3}-\tan (x)",1,"Could not integrate","F",-1
84,0,0,11,0.0000302,"\int \sec ^4(x) \, dx","IntegrateAlgebraic[Sec[x]^4,x]","\int \sec ^4(x) \, dx","\frac{\tan ^3(x)}{3}+\tan (x)",1,"Could not integrate","F",-1
85,0,0,19,0.0000248,"\int \sec ^6(x) \, dx","IntegrateAlgebraic[Sec[x]^6,x]","\int \sec ^6(x) \, dx","\frac{\tan ^5(x)}{5}+\frac{2 \tan ^3(x)}{3}+\tan (x)",1,"Could not integrate","F",-1
86,0,0,8,0.0000313,"\int \sec ^2(x) \tan ^4(x) \, dx","IntegrateAlgebraic[Sec[x]^2*Tan[x]^4,x]","\int \sec ^2(x) \tan ^4(x) \, dx","\frac{\tan ^5(x)}{5}",1,"Could not integrate","F",-1
87,0,0,17,0.0000297,"\int \sec ^4(x) \tan ^2(x) \, dx","IntegrateAlgebraic[Sec[x]^4*Tan[x]^2,x]","\int \sec ^4(x) \tan ^2(x) \, dx","\frac{\tan ^5(x)}{5}+\frac{\tan ^3(x)}{3}",1,"Could not integrate","F",-1
88,0,0,8,0.0000282,"\int \sec ^3(x) \tan (x) \, dx","IntegrateAlgebraic[Sec[x]^3*Tan[x],x]","\int \sec ^3(x) \tan (x) \, dx","\frac{\sec ^3(x)}{3}",1,"Could not integrate","F",-1
89,0,0,17,0.0000301,"\int \sec ^3(x) \tan ^3(x) \, dx","IntegrateAlgebraic[Sec[x]^3*Tan[x]^3,x]","\int \sec ^3(x) \tan ^3(x) \, dx","\frac{\sec ^5(x)}{5}-\frac{\sec ^3(x)}{3}",1,"Could not integrate","F",-1
90,0,0,22,0.0000248,"\int \tan ^5(x) \, dx","IntegrateAlgebraic[Tan[x]^5,x]","\int \tan ^5(x) \, dx","\frac{\tan ^4(x)}{4}-\frac{\tan ^2(x)}{2}-\log (\cos (x))",1,"Could not integrate","F",-1
91,0,0,22,0.0000472,"\int \tan ^6(x) \, dx","IntegrateAlgebraic[Tan[x]^6,x]","\int \tan ^6(x) \, dx","-x+\frac{\tan ^5(x)}{5}-\frac{\tan ^3(x)}{3}+\tan (x)",1,"Could not integrate","F",-1
92,0,0,19,0.0000273,"\int \sec (x) \tan ^5(x) \, dx","IntegrateAlgebraic[Sec[x]*Tan[x]^5,x]","\int \sec (x) \tan ^5(x) \, dx","\frac{\sec ^5(x)}{5}-\frac{2 \sec ^3(x)}{3}+\sec (x)",1,"Could not integrate","F",-1
93,0,0,25,0.0000277,"\int \sec ^3(x) \tan ^5(x) \, dx","IntegrateAlgebraic[Sec[x]^3*Tan[x]^5,x]","\int \sec ^3(x) \tan ^5(x) \, dx","\frac{\sec ^7(x)}{7}-\frac{2 \sec ^5(x)}{5}+\frac{\sec ^3(x)}{3}",1,"Could not integrate","F",-1
94,0,0,8,0.0000269,"\int \sec ^6(x) \tan (x) \, dx","IntegrateAlgebraic[Sec[x]^6*Tan[x],x]","\int \sec ^6(x) \tan (x) \, dx","\frac{\sec ^6(x)}{6}",1,"Could not integrate","F",-1
95,0,0,17,0.0000272,"\int \sec ^6(x) \tan ^3(x) \, dx","IntegrateAlgebraic[Sec[x]^6*Tan[x]^3,x]","\int \sec ^6(x) \tan ^3(x) \, dx","\frac{\sec ^8(x)}{8}-\frac{\sec ^6(x)}{6}",1,"Could not integrate","F",-1
96,0,0,8,0.000053,"\int \sec ^2(x) \tan (x) \, dx","IntegrateAlgebraic[Sec[x]^2*Tan[x],x]","\int \sec ^2(x) \tan (x) \, dx","\frac{\sec ^2(x)}{2}",1,"Could not integrate","F",-1
97,0,0,16,0.000027,"\int \sec (x) \tan ^2(x) \, dx","IntegrateAlgebraic[Sec[x]*Tan[x]^2,x]","\int \sec (x) \tan ^2(x) \, dx","\frac{1}{2} \tan (x) \sec (x)-\frac{1}{2} \tanh ^{-1}(\sin (x))",1,"Could not integrate","F",-1
98,0,0,8,0.0000236,"\int \cot ^2(x) \, dx","IntegrateAlgebraic[Cot[x]^2,x]","\int \cot ^2(x) \, dx","-x-\cot (x)",1,"Could not integrate","F",-1
99,0,0,14,0.0000239,"\int \cot ^3(x) \, dx","IntegrateAlgebraic[Cot[x]^3,x]","\int \cot ^3(x) \, dx","-\frac{1}{2} \cot ^2(x)-\log (\sin (x))",1,"Could not integrate","F",-1
100,0,0,17,0.0000317,"\int \cot ^4(x) \csc ^4(x) \, dx","IntegrateAlgebraic[Cot[x]^4*Csc[x]^4,x]","\int \cot ^4(x) \csc ^4(x) \, dx","-\frac{1}{7} \cot ^7(x)-\frac{\cot ^5(x)}{5}",1,"Could not integrate","F",-1
101,0,0,17,0.0000608,"\int \cot ^3(x) \csc ^4(x) \, dx","IntegrateAlgebraic[Cot[x]^3*Csc[x]^4,x]","\int \cot ^3(x) \csc ^4(x) \, dx","\frac{\csc ^4(x)}{4}-\frac{\csc ^6(x)}{6}",1,"Could not integrate","F",-1
102,0,0,5,0.0000248,"\int \csc (x) \, dx","IntegrateAlgebraic[Csc[x],x]","\int \csc (x) \, dx","-\tanh ^{-1}(\cos (x))",1,"Could not integrate","F",-1
103,0,0,16,0.0000236,"\int \csc ^3(x) \, dx","IntegrateAlgebraic[Csc[x]^3,x]","\int \csc ^3(x) \, dx","-\frac{1}{2} \tanh ^{-1}(\cos (x))-\frac{1}{2} \cot (x) \csc (x)",1,"Could not integrate","F",-1
104,0,0,8,0.0000266,"\int \cos (x) \cot (x) \, dx","IntegrateAlgebraic[Cos[x]*Cot[x],x]","\int \cos (x) \cot (x) \, dx","\cos (x)-\tanh ^{-1}(\cos (x))",1,"Could not integrate","F",-1
105,0,0,13,0.0000237,"\int \csc ^4(x) \, dx","IntegrateAlgebraic[Csc[x]^4,x]","\int \csc ^4(x) \, dx","-\frac{1}{3} \cot ^3(x)-\cot (x)",1,"Could not integrate","F",-1
106,0,0,17,0.0000298,"\int \sin (2 x) \sin (5 x) \, dx","IntegrateAlgebraic[Sin[2*x]*Sin[5*x],x]","\int \sin (2 x) \sin (5 x) \, dx","\frac{1}{6} \sin (3 x)-\frac{1}{14} \sin (7 x)",1,"Could not integrate","F",-1
107,0,0,17,0.0000278,"\int \cos (x) \sin (3 x) \, dx","IntegrateAlgebraic[Cos[x]*Sin[3*x],x]","\int \cos (x) \sin (3 x) \, dx","-\frac{1}{4} \cos (2 x)-\frac{1}{8} \cos (4 x)",1,"Could not integrate","F",-1
108,0,0,15,0.0000283,"\int \cos (3 x) \cos (4 x) \, dx","IntegrateAlgebraic[Cos[3*x]*Cos[4*x],x]","\int \cos (3 x) \cos (4 x) \, dx","\frac{\sin (x)}{2}+\frac{1}{14} \sin (7 x)",1,"Could not integrate","F",-1
109,0,0,17,0.000028,"\int \sin (3 x) \sin (6 x) \, dx","IntegrateAlgebraic[Sin[3*x]*Sin[6*x],x]","\int \sin (3 x) \sin (6 x) \, dx","\frac{1}{6} \sin (3 x)-\frac{1}{18} \sin (9 x)",1,"Could not integrate","F",-1
110,0,0,8,0.0000463,"\int \cos ^5(x) \sin (x) \, dx","IntegrateAlgebraic[Cos[x]^5*Sin[x],x]","\int \cos ^5(x) \sin (x) \, dx","-\frac{1}{6} \cos ^6(x)",1,"Could not integrate","F",-1
111,0,0,30,0.0000359,"\int \cos (x) \cos (2 x) \cos (3 x) \, dx","IntegrateAlgebraic[Cos[x]*Cos[2*x]*Cos[3*x],x]","\int \cos (x) \cos (2 x) \cos (3 x) \, dx","\frac{x}{4}+\frac{1}{8} \sin (2 x)+\frac{1}{16} \sin (4 x)+\frac{1}{24} \sin (6 x)",1,"Could not integrate","F",-1
112,0,0,5,0.0000312,"\int \cos ^2(x) \left(1-\tan ^2(x)\right) \, dx","IntegrateAlgebraic[Cos[x]^2*(1 - Tan[x]^2),x]","\int \cos ^2(x) \left(1-\tan ^2(x)\right) \, dx","\sin (x) \cos (x)",1,"Could not integrate","F",-1
113,0,0,15,0.0000315,"\int \csc (2 x) (\cos (x)+\sin (x)) \, dx","IntegrateAlgebraic[Csc[2*x]*(Cos[x] + Sin[x]),x]","\int \csc (2 x) (\cos (x)+\sin (x)) \, dx","\frac{1}{2} \tanh ^{-1}(\sin (x))-\frac{1}{2} \tanh ^{-1}(\cos (x))",1,"Could not integrate","F",-1
114,0,0,14,0.000027,"\int \sin ^2(x) \tan (x) \, dx","IntegrateAlgebraic[Sin[x]^2*Tan[x],x]","\int \sin ^2(x) \tan (x) \, dx","\frac{\cos ^2(x)}{2}-\log (\cos (x))",1,"Could not integrate","F",-1
115,0,0,22,0.0000293,"\int \cos ^2(x) \cot ^3(x) \, dx","IntegrateAlgebraic[Cos[x]^2*Cot[x]^3,x]","\int \cos ^2(x) \cot ^3(x) \, dx","\frac{\sin ^2(x)}{2}-\frac{1}{2} \csc ^2(x)-2 \log (\sin (x))",1,"Could not integrate","F",-1
116,0,0,8,0.0000288,"\int \sec ^3(x) \tan (x) \, dx","IntegrateAlgebraic[Sec[x]^3*Tan[x],x]","\int \sec ^3(x) \tan (x) \, dx","\frac{\sec ^3(x)}{3}",1,"Could not integrate","F",-1
117,0,0,17,0.0000313,"\int \sec ^3(x) \tan ^3(x) \, dx","IntegrateAlgebraic[Sec[x]^3*Tan[x]^3,x]","\int \sec ^3(x) \tan ^3(x) \, dx","\frac{\sec ^5(x)}{5}-\frac{\sec ^3(x)}{3}",1,"Could not integrate","F",-1
118,1,37,25,0.0478097,"\int \frac{\sqrt{9-x^2}}{x^2} \, dx","IntegrateAlgebraic[Sqrt[9 - x^2]/x^2,x]","2 \tan ^{-1}\left(\frac{\sqrt{9-x^2}}{x+3}\right)-\frac{\sqrt{9-x^2}}{x}","-\frac{\sqrt{9-x^2}}{x}-\sin ^{-1}\left(\frac{x}{3}\right)",1,"-(Sqrt[9 - x^2]/x) + 2*ArcTan[Sqrt[9 - x^2]/(3 + x)]","A",1
119,1,16,16,0.0209089,"\int \frac{1}{x^2 \sqrt{4+x^2}} \, dx","IntegrateAlgebraic[1/(x^2*Sqrt[4 + x^2]),x]","-\frac{\sqrt{x^2+4}}{4 x}","-\frac{\sqrt{x^2+4}}{4 x}",1,"-1/4*Sqrt[4 + x^2]/x","A",1
120,1,9,9,0.0053906,"\int \frac{x}{\sqrt{4+x^2}} \, dx","IntegrateAlgebraic[x/Sqrt[4 + x^2],x]","\sqrt{x^2+4}","\sqrt{x^2+4}",1,"Sqrt[4 + x^2]","A",1
121,1,20,16,0.0365268,"\int \frac{1}{\sqrt{-a^2+x^2}} \, dx","IntegrateAlgebraic[1/Sqrt[-a^2 + x^2],x]","-\log \left(\sqrt{x^2-a^2}-x\right)","\tanh ^{-1}\left(\frac{x}{\sqrt{x^2-a^2}}\right)",1,"-Log[-x + Sqrt[-a^2 + x^2]]","A",1
122,1,22,31,0.0127369,"\int \frac{x^3}{\left(9+4 x^2\right)^{3/2}} \, dx","IntegrateAlgebraic[x^3/(9 + 4*x^2)^(3/2),x]","\frac{2 x^2+9}{8 \sqrt{4 x^2+9}}","\frac{1}{16} \sqrt{4 x^2+9}+\frac{9}{16 \sqrt{4 x^2+9}}",1,"(9 + 2*x^2)/(8*Sqrt[9 + 4*x^2])","A",1
123,1,40,27,0.0885517,"\int \frac{x}{\sqrt{3-2 x-x^2}} \, dx","IntegrateAlgebraic[x/Sqrt[3 - 2*x - x^2],x]","2 \tan ^{-1}\left(\frac{\sqrt{-x^2-2 x+3}}{x+3}\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] + 2*ArcTan[Sqrt[3 - 2*x - x^2]/(3 + x)]","A",1
124,1,16,16,0.0344568,"\int \frac{1}{x^2 \sqrt{1-x^2}} \, dx","IntegrateAlgebraic[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
125,1,27,31,0.0123459,"\int x^3 \sqrt{4-x^2} \, dx","IntegrateAlgebraic[x^3*Sqrt[4 - x^2],x]","\frac{1}{15} \sqrt{4-x^2} \left(3 x^4-4 x^2-32\right)","\frac{1}{5} \left(4-x^2\right)^{5/2}-\frac{4}{3} \left(4-x^2\right)^{3/2}",1,"(Sqrt[4 - x^2]*(-32 - 4*x^2 + 3*x^4))/15","A",1
126,1,13,13,0.0079112,"\int \frac{x}{\sqrt{1-x^2}} \, dx","IntegrateAlgebraic[x/Sqrt[1 - x^2],x]","-\sqrt{1-x^2}","-\sqrt{1-x^2}",1,"-Sqrt[1 - x^2]","A",1
127,1,15,15,0.0085763,"\int x \sqrt{4-x^2} \, dx","IntegrateAlgebraic[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,"-1/3*(4 - x^2)^(3/2)","A",1
128,1,41,25,0.0432102,"\int \sqrt{1-4 x^2} \, dx","IntegrateAlgebraic[Sqrt[1 - 4*x^2],x]","\frac{1}{2} x \sqrt{1-4 x^2}-\frac{1}{2} \tan ^{-1}\left(\frac{\sqrt{1-4 x^2}}{2 x+1}\right)","\frac{1}{2} \sqrt{1-4 x^2} x+\frac{1}{4} \sin ^{-1}(2 x)",1,"(x*Sqrt[1 - 4*x^2])/2 - ArcTan[Sqrt[1 - 4*x^2]/(1 + 2*x)]/2","A",1
129,1,18,25,0.0086869,"\int \frac{x^3}{\sqrt{4+x^2}} \, dx","IntegrateAlgebraic[x^3/Sqrt[4 + x^2],x]","\frac{1}{3} \left(x^2-8\right) \sqrt{x^2+4}","\frac{1}{3} \left(x^2+4\right)^{3/2}-4 \sqrt{x^2+4}",1,"((-8 + x^2)*Sqrt[4 + x^2])/3","A",1
130,1,16,6,0.011753,"\int \frac{1}{\sqrt{9+x^2}} \, dx","IntegrateAlgebraic[1/Sqrt[9 + x^2],x]","-\log \left(\sqrt{x^2+9}-x\right)","\sinh ^{-1}\left(\frac{x}{3}\right)",1,"-Log[-x + Sqrt[9 + x^2]]","B",1
131,1,33,21,0.0202052,"\int \sqrt{1+x^2} \, dx","IntegrateAlgebraic[Sqrt[1 + x^2],x]","\frac{1}{2} x \sqrt{x^2+1}-\frac{1}{2} \log \left(\sqrt{x^2+1}-x\right)","\frac{1}{2} \sqrt{x^2+1} x+\frac{1}{2} \sinh ^{-1}(x)",1,"(x*Sqrt[1 + x^2])/2 - Log[-x + Sqrt[1 + x^2]]/2","A",1
132,1,35,35,0.022544,"\int \frac{1}{x^3 \sqrt{-16+x^2}} \, dx","IntegrateAlgebraic[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",1
133,1,23,23,0.0446409,"\int \frac{\sqrt{-a^2+x^2}}{x^4} \, dx","IntegrateAlgebraic[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
134,1,30,30,0.0185634,"\int \frac{\sqrt{-4+9 x^2}}{x} \, dx","IntegrateAlgebraic[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",1
135,1,18,18,0.029128,"\int \frac{1}{x^2 \sqrt{-9+16 x^2}} \, dx","IntegrateAlgebraic[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
136,1,52,34,0.0627756,"\int \frac{x^2}{\left(a^2-x^2\right)^{3/2}} \, dx","IntegrateAlgebraic[x^2/(a^2 - x^2)^(3/2),x]","-\frac{x \sqrt{a^2-x^2}}{x^2-a^2}-i \log \left(\sqrt{a^2-x^2}-i x\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])/(-a^2 + x^2)) - I*Log[(-I)*x + Sqrt[a^2 - x^2]]","C",1
137,1,41,29,0.0298434,"\int \frac{x^2}{\sqrt{5-x^2}} \, dx","IntegrateAlgebraic[x^2/Sqrt[5 - x^2],x]","-\frac{1}{2} x \sqrt{5-x^2}+\frac{5}{2} i \log \left(\sqrt{5-x^2}-i x\right)","\frac{5}{2} \sin ^{-1}\left(\frac{x}{\sqrt{5}}\right)-\frac{1}{2} x \sqrt{5-x^2}",1,"-1/2*(x*Sqrt[5 - x^2]) + ((5*I)/2)*Log[(-I)*x + Sqrt[5 - x^2]]","C",1
138,1,23,23,0.030753,"\int \frac{1}{x \sqrt{3+x^2}} \, dx","IntegrateAlgebraic[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",1
139,1,13,13,0.0083414,"\int \frac{x}{\left(4+x^2\right)^{5/2}} \, dx","IntegrateAlgebraic[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*1/(4 + x^2)^(3/2)","A",1
140,1,27,31,0.0122088,"\int x^3 \sqrt{4-9 x^2} \, dx","IntegrateAlgebraic[x^3*Sqrt[4 - 9*x^2],x]","\frac{\sqrt{4-9 x^2} \left(243 x^4-36 x^2-32\right)}{1215}","\frac{1}{405} \left(4-9 x^2\right)^{5/2}-\frac{4}{243} \left(4-9 x^2\right)^{3/2}",1,"(Sqrt[4 - 9*x^2]*(-32 - 36*x^2 + 243*x^4))/1215","A",1
141,1,47,45,0.0507166,"\int x^2 \sqrt{9-x^2} \, dx","IntegrateAlgebraic[x^2*Sqrt[9 - x^2],x]","\frac{1}{8} \sqrt{9-x^2} \left(2 x^3-9 x\right)-\frac{81}{4} \tan ^{-1}\left(\frac{\sqrt{9-x^2}}{x+3}\right)","-\frac{9}{8} \sqrt{9-x^2} x+\frac{1}{4} \sqrt{9-x^2} x^3+\frac{81}{8} \sin ^{-1}\left(\frac{x}{3}\right)",1,"(Sqrt[9 - x^2]*(-9*x + 2*x^3))/8 - (81*ArcTan[Sqrt[9 - x^2]/(3 + x)])/4","A",1
142,1,13,13,0.0075474,"\int 5 x \sqrt{1+x^2} \, dx","IntegrateAlgebraic[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",1
143,1,30,16,0.0353342,"\int \frac{1}{\left(-25+4 x^2\right)^{3/2}} \, dx","IntegrateAlgebraic[(-25 + 4*x^2)^(-3/2),x]","-\frac{x \sqrt{4 x^2-25}}{25 (2 x-5) (2 x+5)}","-\frac{x}{25 \sqrt{4 x^2-25}}",1,"-1/25*(x*Sqrt[-25 + 4*x^2])/((-5 + 2*x)*(5 + 2*x))","A",1
144,1,41,33,0.0706568,"\int \sqrt{2 x-x^2} \, dx","IntegrateAlgebraic[Sqrt[2*x - x^2],x]","\frac{1}{2} (x-1) \sqrt{2 x-x^2}-\tan ^{-1}\left(\frac{\sqrt{2 x-x^2}}{x}\right)","-\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 - ArcTan[Sqrt[2*x - x^2]/x]","A",1
145,1,20,8,0.0628773,"\int \frac{1}{\sqrt{8+4 x+x^2}} \, dx","IntegrateAlgebraic[1/Sqrt[8 + 4*x + x^2],x]","-\log \left(\sqrt{x^2+4 x+8}-x-2\right)","\sinh ^{-1}\left(\frac{x+2}{2}\right)",1,"-Log[-2 - x + Sqrt[8 + 4*x + x^2]]","B",1
146,1,24,25,0.0659492,"\int \frac{1}{\sqrt{-8+6 x+9 x^2}} \, dx","IntegrateAlgebraic[1/Sqrt[-8 + 6*x + 9*x^2],x]","-\frac{1}{3} \log \left(\sqrt{9 x^2+6 x-8}-3 x-1\right)","\frac{1}{3} \tanh ^{-1}\left(\frac{3 x+1}{\sqrt{9 x^2+6 x-8}}\right)",1,"-1/3*Log[-1 - 3*x + Sqrt[-8 + 6*x + 9*x^2]]","A",1
147,1,43,44,0.0979141,"\int \frac{x^2}{\sqrt{4 x-x^2}} \, dx","IntegrateAlgebraic[x^2/Sqrt[4*x - x^2],x]","\frac{1}{2} (-x-6) \sqrt{4 x-x^2}-12 \tan ^{-1}\left(\frac{\sqrt{4 x-x^2}}{x}\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,"((-6 - x)*Sqrt[4*x - x^2])/2 - 12*ArcTan[Sqrt[4*x - x^2]/x]","A",1
148,1,26,26,0.0127658,"\int \frac{1}{\left(2+2 x+x^2\right)^2} \, dx","IntegrateAlgebraic[(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",1
149,1,43,43,0.2711052,"\int \frac{1}{\left(5-4 x-x^2\right)^{5/2}} \, dx","IntegrateAlgebraic[(5 - 4*x - x^2)^(-5/2),x]","\frac{\sqrt{-x^2-4 x+5} \left(-2 x^3-12 x^2+3 x+38\right)}{243 (x-1)^2 (x+5)^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,"(Sqrt[5 - 4*x - x^2]*(38 + 3*x - 12*x^2 - 2*x^3))/(243*(-1 + x)^2*(5 + x)^2)","A",1
150,0,0,33,0.0000696,"\int e^t \sqrt{9-e^{2 t}} \, dt","IntegrateAlgebraic[E^t*Sqrt[9 - E^(2*t)],t]","\int e^t \sqrt{9-e^{2 t}} \, dt","\frac{1}{2} e^t \sqrt{9-e^{2 t}}+\frac{9}{2} \sin ^{-1}\left(\frac{e^t}{3}\right)",1,"Could not integrate","F",-1
151,0,0,30,0.0000603,"\int \sqrt{-9+e^{2 t}} \, dt","IntegrateAlgebraic[Sqrt[-9 + E^(2*t)],t]","\int \sqrt{-9+e^{2 t}} \, dt","\sqrt{e^{2 t}-9}-3 \tan ^{-1}\left(\frac{1}{3} \sqrt{e^{2 t}-9}\right)",1,"Could not integrate","F",-1
152,1,18,14,0.0139956,"\int \frac{1}{\sqrt{a^2+x^2}} \, dx","IntegrateAlgebraic[1/Sqrt[a^2 + x^2],x]","-\log \left(\sqrt{a^2+x^2}-x\right)","\tanh ^{-1}\left(\frac{x}{\sqrt{a^2+x^2}}\right)",1,"-Log[-x + Sqrt[a^2 + x^2]]","A",1
153,1,13,15,0.0064157,"\int \frac{5+x}{-2+x+x^2} \, dx","IntegrateAlgebraic[(5 + x)/(-2 + x + x^2),x]","2 \log (x-1)-\log (x+2)","2 \log (1-x)-\log (x+2)",1,"2*Log[-1 + x] - Log[2 + x]","A",1
154,1,22,26,0.0075138,"\int \frac{x+x^3}{-1+x} \, dx","IntegrateAlgebraic[(x + x^3)/(-1 + x),x]","\frac{1}{6} x \left(2 x^2+3 x+12\right)+2 \log (x-1)","\frac{x^3}{3}+\frac{x^2}{2}+2 x+2 \log (1-x)",1,"(x*(12 + 3*x + 2*x^2))/6 + 2*Log[-1 + x]","A",1
155,1,25,25,0.0106889,"\int \frac{-1+2 x+x^2}{-2 x+3 x^2+2 x^3} \, dx","IntegrateAlgebraic[(-1 + 2*x + x^2)/(-2*x + 3*x^2 + 2*x^3),x]","\frac{\log (x)}{2}-\frac{1}{10} \log (x+2)+\frac{1}{10} \log (2 x-1)","\frac{1}{10} \log (1-2 x)+\frac{\log (x)}{2}-\frac{1}{10} \log (x+2)",1,"Log[x]/2 - Log[2 + x]/10 + Log[-1 + 2*x]/10","A",1
156,1,25,30,0.0206074,"\int \frac{1+4 x-2 x^2+x^4}{1-x-x^2+x^3} \, dx","IntegrateAlgebraic[(1 + 4*x - 2*x^2 + x^4)/(1 - x - x^2 + x^3),x]","\frac{x^3+x^2-x-5}{2 (x-1)}-2 \tanh ^{-1}(x)","\frac{x^2}{2}+x+\frac{2}{1-x}+\log (1-x)-\log (x+1)",1,"(-5 - x + x^2 + x^3)/(2*(-1 + x)) - 2*ArcTanh[x]","A",1
157,1,23,23,0.0079555,"\int \frac{4-x+2 x^2}{4 x+x^3} \, dx","IntegrateAlgebraic[(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,"-1/2*ArcTan[x/2] + Log[x] + Log[4 + x^2]/2","A",1
158,1,41,38,0.0194149,"\int \frac{2-3 x+4 x^2}{3-4 x+4 x^2} \, dx","IntegrateAlgebraic[(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}{\sqrt{2}}-\sqrt{2} x\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/Sqrt[2] - Sqrt[2]*x]/(4*Sqrt[2]) + Log[3 - 4*x + 4*x^2]/8","A",1
159,1,98,103,0.0604784,"\int \frac{1+x^2+x^3}{(-1+x) x \left(1+x^2\right)^3 \left(1+x+x^2\right)} \, dx","IntegrateAlgebraic[(1 + x^2 + x^3)/((-1 + x)*x*(1 + x^2)^3*(1 + x + x^2)),x]","-\frac{7}{24} \log \left(x^3-1\right)+\frac{15}{16} \log \left(x^2+1\right)-\frac{5}{24} \log \left(x^2+x+1\right)+\frac{9 x^3-6 x^2+11 x-4}{16 \left(x^2+1\right)^2}+\frac{5}{12} \log (x-1)-\log (x)+\frac{7}{16} \tan ^{-1}(x)-\frac{\tan ^{-1}\left(\frac{2 x}{\sqrt{3}}+\frac{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,"(-4 + 11*x - 6*x^2 + 9*x^3)/(16*(1 + x^2)^2) + (7*ArcTan[x])/16 - ArcTan[1/Sqrt[3] + (2*x)/Sqrt[3]]/Sqrt[3] + (5*Log[-1 + x])/12 - Log[x] + (15*Log[1 + x^2])/16 - (5*Log[1 + x + x^2])/24 - (7*Log[-1 + x^3])/24","A",1
160,1,33,33,0.0262674,"\int \frac{1-3 x+2 x^2-x^3}{x \left(1+x^2\right)^2} \, dx","IntegrateAlgebraic[(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",1
161,1,19,19,0.0081426,"\int \frac{1}{\left(1+x^2\right)^2} \, dx","IntegrateAlgebraic[(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",1
162,1,17,19,0.0055502,"\int \frac{1}{(-1+x) (2+x)} \, dx","IntegrateAlgebraic[1/((-1 + x)*(2 + x)),x]","\frac{1}{3} \log (x-1)-\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",1
163,1,19,19,0.0069552,"\int \frac{7}{-12+5 x+2 x^2} \, dx","IntegrateAlgebraic[7/(-12 + 5*x + 2*x^2),x]","\frac{7}{11} \log (2 x-3)-\frac{7}{11} \log (x+4)","\frac{7}{11} \log (3-2 x)-\frac{7}{11} \log (x+4)",1,"(-7*Log[4 + x])/11 + (7*Log[-3 + 2*x])/11","A",1
164,1,32,32,0.0216989,"\int \frac{-4+3 x+x^2}{(-1+2 x)^2 (3+2 x)} \, dx","IntegrateAlgebraic[(-4 + 3*x + x^2)/((-1 + 2*x)^2*(3 + 2*x)),x]","\frac{9}{32 (2 x-1)}+\frac{41}{128} \log (2 x-1)-\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",1
165,1,35,43,0.0305458,"\int \frac{-x^2+x^3}{(-6+x) (3+5 x)^3} \, dx","IntegrateAlgebraic[(-x^2 + x^3)/((-6 + x)*(3 + 5*x)^3),x]","\frac{3 (335 x+157)}{15125 (5 x+3)^2}+\frac{20 \log (x-6)}{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,"(3*(157 + 335*x))/(15125*(3 + 5*x)^2) + (20*Log[-6 + x])/3993 + (1493*Log[3 + 5*x])/499125","A",1
166,1,21,21,0.0067845,"\int \frac{1}{-x^3+x^4} \, dx","IntegrateAlgebraic[(-x^3 + x^4)^(-1),x]","\frac{2 x+1}{2 x^2}+2 \tanh ^{-1}(1-2 x)","\frac{1}{2 x^2}+\frac{1}{x}+\log (1-x)-\log (x)",1,"(1 + 2*x)/(2*x^2) + 2*ArcTanh[1 - 2*x]","A",1
167,1,23,25,0.0091907,"\int \frac{1-x-x^2+x^3+x^4}{-x+x^3} \, dx","IntegrateAlgebraic[(1 - x - x^2 + x^3 + x^4)/(-x + x^3),x]","\frac{1}{2} \log \left(x^2-1\right)+\frac{1}{2} x (x+2)-\log (x)","\frac{x^2}{2}+\frac{1}{2} \log \left(1-x^2\right)+x-\log (x)",1,"(x*(2 + x))/2 - Log[x] + Log[-1 + x^2]/2","A",1
168,1,11,11,0.006934,"\int \frac{-2+x^2}{x \left(2+x^2\right)} \, dx","IntegrateAlgebraic[(-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",1
169,1,36,36,0.023881,"\int \frac{2-4 x^2+x^3}{\left(1+x^2\right) \left(2+x^2\right)} \, dx","IntegrateAlgebraic[(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",1
170,1,29,29,0.021594,"\int \frac{1+x^2+x^4}{\left(1+x^2\right) \left(4+x^2\right)^2} \, dx","IntegrateAlgebraic[(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",1
171,1,63,60,0.0661987,"\int \frac{1+16 x}{(5+x)^2 (-3+2 x) \left(1+x+x^2\right)} \, dx","IntegrateAlgebraic[(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{2731 \log (x+5)}{24843}+\frac{200 \log (2 x-3)}{3211}+\frac{451 \tan ^{-1}\left(\frac{2 x}{\sqrt{3}}+\frac{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/Sqrt[3] + (2*x)/Sqrt[3]])/(2793*Sqrt[3]) + (2731*Log[5 + x])/24843 + (200*Log[-3 + 2*x])/3211 - (481*Log[1 + x + x^2])/5586","A",1
172,1,30,37,0.0185619,"\int \frac{x^4}{\left(9+x^2\right)^3} \, dx","IntegrateAlgebraic[x^4/(9 + x^2)^3,x]","\frac{1}{8} \tan ^{-1}\left(\frac{x}{3}\right)-\frac{x \left(5 x^2+27\right)}{8 \left(x^2+9\right)^2}","-\frac{3 x}{8 \left(x^2+9\right)}-\frac{x^3}{4 \left(x^2+9\right)^2}+\frac{1}{8} \tan ^{-1}\left(\frac{x}{3}\right)",1,"-1/8*(x*(27 + 5*x^2))/(9 + x^2)^2 + ArcTan[x/3]/8","A",1
173,1,86,97,0.0574009,"\int \frac{19 x}{(-1+x)^3 \left(3+5 x+4 x^2\right)^2} \, dx","IntegrateAlgebraic[(19*x)/((-1 + x)^3*(3 + 5*x + 4*x^2)^2),x]","-\frac{209 \log \left(4 x^2+5 x+3\right)}{4608}+\frac{19 \left(388 x^3-407 x^2-120 x-45\right)}{4416 (x-1)^2 \left(4 x^2+5 x+3\right)}+\frac{209 \log (x-1)}{2304}+\frac{114437 \tan ^{-1}\left(\frac{8 x}{\sqrt{23}}+\frac{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,"(19*(-45 - 120*x - 407*x^2 + 388*x^3))/(4416*(-1 + x)^2*(3 + 5*x + 4*x^2)) + (114437*ArcTan[5/Sqrt[23] + (8*x)/Sqrt[23]])/(52992*Sqrt[23]) + (209*Log[-1 + x])/2304 - (209*Log[3 + 5*x + 4*x^2])/4608","A",1
174,1,49,46,0.0337469,"\int \frac{1+x^2+x^3}{2 x^2+x^3+x^4} \, dx","IntegrateAlgebraic[(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}{\sqrt{7}}+\frac{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*1/x + ArcTan[1/Sqrt[7] + (2*x)/Sqrt[7]]/(4*Sqrt[7]) - Log[x]/4 + (5*Log[2 + x + x^2])/8","A",1
175,1,49,48,0.0199573,"\int \frac{1}{-x^3+x^6} \, dx","IntegrateAlgebraic[(-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 (x-1)-\frac{\tan ^{-1}\left(\frac{2 x}{\sqrt{3}}+\frac{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/Sqrt[3] + (2*x)/Sqrt[3]]/Sqrt[3] + Log[-1 + x]/3 - Log[1 + x + x^2]/6","A",1
176,1,14,15,0.0054096,"\int \frac{x^2}{1+x} \, dx","IntegrateAlgebraic[x^2/(1 + x),x]","\frac{1}{2} (x-1)^2+\log (x+1)","\frac{x^2}{2}-x+\log (x+1)",1,"(-1 + x)^2/2 + Log[1 + x]","A",1
177,1,8,10,0.0033649,"\int \frac{x}{-5+x} \, dx","IntegrateAlgebraic[x/(-5 + x),x]","x+5 \log (x-5)","x+5 \log (5-x)",1,"x + 5*Log[-5 + x]","A",1
178,1,11,13,0.0061117,"\int \frac{-1+4 x}{(-1+x) (2+x)} \, dx","IntegrateAlgebraic[(-1 + 4*x)/((-1 + x)*(2 + x)),x]","\log (x-1)+3 \log (x+2)","\log (1-x)+3 \log (x+2)",1,"Log[-1 + x] + 3*Log[2 + x]","A",1
179,1,8,11,0.0053761,"\int \frac{1}{(1+x) (2+x)} \, dx","IntegrateAlgebraic[1/((1 + x)*(2 + x)),x]","-2 \tanh ^{-1}(2 x+3)","\log (x+1)-\log (x+2)",1,"-2*ArcTanh[3 + 2*x]","A",1
180,1,12,12,0.005221,"\int \frac{-5+6 x}{3+2 x} \, dx","IntegrateAlgebraic[(-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",1
181,1,25,26,0.0130227,"\int \frac{1}{(a+x) (b+x)} \, dx","IntegrateAlgebraic[1/((a + x)*(b + x)),x]","\frac{\log (a+x)}{b-a}+\frac{\log (b+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",1
182,1,12,14,0.0058131,"\int \frac{1+x^2}{-x+x^2} \, dx","IntegrateAlgebraic[(1 + x^2)/(-x + x^2),x]","x+2 \log (x-1)-\log (x)","x+2 \log (1-x)-\log (x)",1,"x + 2*Log[-1 + x] - Log[x]","A",1
183,1,24,26,0.0086328,"\int \frac{1-12 x+x^2+x^3}{-12+x+x^2} \, dx","IntegrateAlgebraic[(1 - 12*x + x^2 + x^3)/(-12 + x + x^2),x]","\frac{x^2}{2}+\frac{1}{7} \log (x-3)-\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",1
184,1,14,14,0.0067734,"\int \frac{3+2 x}{(1+x)^2} \, dx","IntegrateAlgebraic[(3 + 2*x)/(1 + x)^2,x]","\frac{1}{-x-1}+2 \log (x+1)","2 \log (x+1)-\frac{1}{x+1}",1,"(-1 - x)^(-1) + 2*Log[1 + x]","A",1
185,1,23,23,0.0079302,"\int \frac{1}{x (1+x) (3+2 x)} \, dx","IntegrateAlgebraic[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",1
186,1,15,17,0.0091134,"\int \frac{-3+5 x+6 x^2}{-3 x+2 x^2+x^3} \, dx","IntegrateAlgebraic[(-3 + 5*x + 6*x^2)/(-3*x + 2*x^2 + x^3),x]","2 \log (x-1)+\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",1
187,1,12,12,0.006418,"\int \frac{x}{4+4 x+x^2} \, dx","IntegrateAlgebraic[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",1
188,1,26,30,0.0129667,"\int \frac{1}{(-1+x)^2 (4+x)} \, dx","IntegrateAlgebraic[1/((-1 + x)^2*(4 + x)),x]","-\frac{1}{5 (x-1)}-\frac{1}{25} \log (x-1)+\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/(-1 + x) - Log[-1 + x]/25 + Log[4 + x]/25","A",1
189,1,26,28,0.0203732,"\int \frac{x^2}{(-3+x) (2+x)^2} \, dx","IntegrateAlgebraic[x^2/((-3 + x)*(2 + x)^2),x]","\frac{4}{5 (x+2)}+\frac{9}{25} \log (x-3)+\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",1
190,1,14,14,0.006158,"\int \frac{-2+3 x+5 x^2}{2 x^2+x^3} \, dx","IntegrateAlgebraic[(-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",1
191,1,17,19,0.0101989,"\int \frac{18-2 x-4 x^2}{-6+x+4 x^2+x^3} \, dx","IntegrateAlgebraic[(18 - 2*x - 4*x^2)/(-6 + x + 4*x^2 + x^3),x]","\log (x-1)-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",1
192,1,15,15,0.0065788,"\int \frac{2 x+x^2}{4+3 x^2+x^3} \, dx","IntegrateAlgebraic[(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
193,1,23,25,0.0155396,"\int \frac{1}{(-1+x)^2 x^2} \, dx","IntegrateAlgebraic[1/((-1 + x)^2*x^2),x]","\frac{1-2 x}{(x-1) x}-4 \tanh ^{-1}(1-2 x)","\frac{1}{1-x}-\frac{1}{x}-2 \log (1-x)+2 \log (x)",1,"(1 - 2*x)/((-1 + x)*x) - 4*ArcTanh[1 - 2*x]","A",1
194,1,19,21,0.0137624,"\int \frac{x^2}{(1+x)^3} \, dx","IntegrateAlgebraic[x^2/(1 + x)^3,x]","\frac{4 x+3}{2 (x+1)^2}+\log (x+1)","\frac{2}{x+1}-\frac{1}{2 (x+1)^2}+\log (x+1)",1,"(3 + 4*x)/(2*(1 + x)^2) + Log[1 + x]","A",1
195,1,8,8,0.0057387,"\int \frac{1}{-x^2+x^4} \, dx","IntegrateAlgebraic[(-x^2 + x^4)^(-1),x]","\frac{1}{x}-\tanh ^{-1}(x)","\frac{1}{x}-\tanh ^{-1}(x)",1,"x^(-1) - ArcTanh[x]","A",1
196,1,15,15,0.0060702,"\int \frac{-x+2 x^3}{1-x^2+x^4} \, dx","IntegrateAlgebraic[(-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
197,1,18,18,0.0046458,"\int \frac{x^3}{1+x^2} \, dx","IntegrateAlgebraic[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",1
198,1,20,20,0.007201,"\int \frac{-1+x}{2+2 x+x^2} \, dx","IntegrateAlgebraic[(-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",1
199,1,34,31,0.0134887,"\int \frac{x}{1+x+x^2} \, dx","IntegrateAlgebraic[x/(1 + x + x^2),x]","\frac{1}{2} \log \left(x^2+x+1\right)-\frac{\tan ^{-1}\left(\frac{2 x}{\sqrt{3}}+\frac{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/Sqrt[3] + (2*x)/Sqrt[3]]/Sqrt[3]) + Log[1 + x + x^2]/2","A",1
200,1,27,27,0.0092669,"\int \frac{7+5 x+4 x^2}{5+4 x+4 x^2} \, dx","IntegrateAlgebraic[(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",1
201,1,21,23,0.0108097,"\int \frac{5-4 x+3 x^2}{(-1+x) \left(1+x^2\right)} \, dx","IntegrateAlgebraic[(5 - 4*x + 3*x^2)/((-1 + x)*(1 + x^2)),x]","\frac{1}{2} \log \left(x^2+1\right)+2 \log (x-1)-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",1
202,1,28,28,0.0156044,"\int \frac{3+2 x}{3 x+x^3} \, dx","IntegrateAlgebraic[(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",1
203,1,42,41,0.0132662,"\int \frac{1}{-1+x^3} \, dx","IntegrateAlgebraic[(-1 + x^3)^(-1),x]","-\frac{1}{6} \log \left(x^2+x+1\right)+\frac{1}{3} \log (x-1)-\frac{\tan ^{-1}\left(\frac{2 x}{\sqrt{3}}+\frac{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/Sqrt[3] + (2*x)/Sqrt[3]]/Sqrt[3]) + Log[-1 + x]/3 - Log[1 + x + x^2]/6","A",1
204,1,44,41,0.0161802,"\int \frac{x^3}{1+x^3} \, dx","IntegrateAlgebraic[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}{\sqrt{3}}-\frac{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/Sqrt[3] - (2*x)/Sqrt[3]]/Sqrt[3] - Log[1 + x]/3 + Log[1 - x + x^2]/6","A",1
205,1,22,24,0.0182738,"\int \frac{-1-2 x+x^2}{(-1+x)^2 \left(1+x^2\right)} \, dx","IntegrateAlgebraic[(-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 (x-1)+\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",1
206,1,14,14,0.0079362,"\int \frac{x^4}{-1+x^4} \, dx","IntegrateAlgebraic[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",1
207,1,29,29,0.0204634,"\int \frac{-4+6 x-x^2+3 x^3}{\left(1+x^2\right) \left(2+x^2\right)} \, dx","IntegrateAlgebraic[(-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",1
208,1,23,23,0.0126042,"\int \frac{1+x-2 x^2+x^3}{4+5 x^2+x^4} \, dx","IntegrateAlgebraic[(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",1
209,1,43,39,0.0319716,"\int \frac{-3+x}{\left(4+2 x+x^2\right)^2} \, dx","IntegrateAlgebraic[(-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}{\sqrt{3}}+\frac{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/Sqrt[3] + x/Sqrt[3]])/(3*Sqrt[3])","A",1
210,1,10,10,0.0001093,"\int \frac{1+x^4}{x \left(1+x^2\right)^2} \, dx","IntegrateAlgebraic[(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",1
211,0,0,11,0.0000393,"\int \frac{\cos (x) (-3+2 \sin (x))}{2-3 \sin (x)+\sin ^2(x)} \, dx","IntegrateAlgebraic[(Cos[x]*(-3 + 2*Sin[x]))/(2 - 3*Sin[x] + Sin[x]^2),x]","\int \frac{\cos (x) (-3+2 \sin (x))}{2-3 \sin (x)+\sin ^2(x)} \, dx","\log \left(\sin ^2(x)-3 \sin (x)+2\right)",1,"Could not integrate","F",-1
212,0,0,20,0.0000382,"\int \frac{\cos ^2(x) \sin (x)}{5+\cos ^2(x)} \, dx","IntegrateAlgebraic[(Cos[x]^2*Sin[x])/(5 + Cos[x]^2),x]","\int \frac{\cos ^2(x) \sin (x)}{5+\cos ^2(x)} \, dx","\sqrt{5} \tan ^{-1}\left(\frac{\cos (x)}{\sqrt{5}}\right)-\cos (x)",1,"Could not integrate","F",-1
213,1,14,19,0.0054136,"\int \frac{1}{-3+2 x+x^2} \, dx","IntegrateAlgebraic[(-3 + 2*x + x^2)^(-1),x]","-\frac{1}{2} \tanh ^{-1}\left(\frac{x}{2}+\frac{1}{2}\right)","\frac{1}{4} \log (1-x)-\frac{1}{4} \log (x+3)",1,"-1/2*ArcTanh[1/2 + x/2]","A",1
214,1,6,17,0.0040215,"\int \frac{1}{-2 x+x^2} \, dx","IntegrateAlgebraic[(-2*x + x^2)^(-1),x]","\tanh ^{-1}(1-x)","\frac{1}{2} \log (2-x)-\frac{\log (x)}{2}",1,"ArcTanh[1 - x]","A",1
215,1,21,21,0.0068941,"\int \frac{1+2 x}{-7+12 x+4 x^2} \, dx","IntegrateAlgebraic[(1 + 2*x)/(-7 + 12*x + 4*x^2),x]","\frac{1}{8} \log (2 x-1)+\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",1
216,1,47,49,0.0250667,"\int \frac{x}{-1+x+x^2} \, dx","IntegrateAlgebraic[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",1
217,1,66,63,0.0371613,"\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","IntegrateAlgebraic[(-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{334}{323} \log (2 x+1)-\frac{3146 \log (3 x-7)}{80155}+\frac{4822 \log (5 x+2)}{4879}+\frac{3988 \tan ^{-1}\left(\frac{2 x}{\sqrt{19}}+\frac{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/Sqrt[19] + (2*x)/Sqrt[19]])/(13685*Sqrt[19]) - (334*Log[1 + 2*x])/323 - (3146*Log[-7 + 3*x])/80155 + (4822*Log[2 + 5*x])/4879 + (11049*Log[5 + x + x^2])/260015","A",1
218,1,71,86,0.0596793,"\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","IntegrateAlgebraic[(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{2843 \log \left(2 x^2+1\right)}{7986}+\frac{-36458 x^2-4675 x-2554}{12100 \left(10 x^3-4 x^2+5 x-2\right)}-\frac{59096 \log (5 x-2)}{99825}+\frac{503 \tan ^{-1}\left(\sqrt{2} x\right)}{7986 \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,"(-2554 - 4675*x - 36458*x^2)/(12100*(-2 + 5*x - 4*x^2 + 10*x^3)) + (503*ArcTan[Sqrt[2]*x])/(7986*Sqrt[2]) - (59096*Log[-2 + 5*x])/99825 + (2843*Log[1 + 2*x^2])/7986","A",1
219,1,24,24,0.0126703,"\int \frac{\sqrt{4+x}}{x} \, dx","IntegrateAlgebraic[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",1
220,1,212,200,0.5147602,"\int \frac{1}{-\frac{1}{\sqrt[3]{x}}+\sqrt{x}} \, dx","IntegrateAlgebraic[(-x^(-1/3) + Sqrt[x])^(-1),x]","2 \sqrt{x}+\frac{6}{5} \log \left(\sqrt[6]{x}-1\right)-\frac{3}{10} \left(1+\sqrt{5}\right) \log \left(2 \sqrt[3]{x}+\left(1-\sqrt{5}\right) \sqrt[6]{x}+2\right)+\frac{3}{10} \left(\sqrt{5}-1\right) \log \left(2 \sqrt[3]{x}+\left(1+\sqrt{5}\right) \sqrt[6]{x}+2\right)-\frac{3}{5} \sqrt{2 \left(5-\sqrt{5}\right)} \tan ^{-1}\left(\sqrt{\frac{1}{10} \left(10-4 \sqrt{5}\right)}-\frac{\sqrt{10-2 \sqrt{5}} \sqrt[6]{x}}{\sqrt{5}}\right)-\frac{3}{5} \sqrt{2 \left(5+\sqrt{5}\right)} \tan ^{-1}\left(\sqrt{\frac{1}{5} \left(10+2 \sqrt{5}\right)} \sqrt[6]{x}+\sqrt{\frac{1}{10} \left(10+4 \sqrt{5}\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[Sqrt[(10 - 4*Sqrt[5])/10] - (Sqrt[10 - 2*Sqrt[5]]*x^(1/6))/Sqrt[5]])/5 - (3*Sqrt[2*(5 + Sqrt[5])]*ArcTan[Sqrt[(10 + 4*Sqrt[5])/10] + Sqrt[(10 + 2*Sqrt[5])/5]*x^(1/6)])/5 + (6*Log[-1 + x^(1/6)])/5 - (3*(1 + Sqrt[5])*Log[2 + (1 - Sqrt[5])*x^(1/6) + 2*x^(1/3)])/10 + (3*(-1 + Sqrt[5])*Log[2 + (1 + Sqrt[5])*x^(1/6) + 2*x^(1/3)])/10","A",0
221,0,0,18,0.0000362,"\int \frac{1}{-4 \cos (x)+3 \sin (x)} \, dx","IntegrateAlgebraic[(-4*Cos[x] + 3*Sin[x])^(-1),x]","\int \frac{1}{-4 \cos (x)+3 \sin (x)} \, dx","-\frac{1}{5} \tanh ^{-1}\left(\frac{1}{5} (4 \sin (x)+3 \cos (x))\right)",1,"Could not integrate","F",-1
222,1,18,18,0.0053931,"\int \frac{1}{1+\sqrt{x}} \, dx","IntegrateAlgebraic[(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",1
223,1,28,32,0.0102831,"\int \frac{1}{1+\frac{1}{\sqrt[3]{x}}} \, dx","IntegrateAlgebraic[(1 + x^(-1/3))^(-1),x]","-\frac{3 x^{2/3}}{2}+x+3 \sqrt[3]{x}-3 \log \left(\sqrt[3]{x}+1\right)","-\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)]","A",1
224,1,16,16,0.0073934,"\int \frac{\sqrt{x}}{1+x} \, dx","IntegrateAlgebraic[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",1
225,1,10,10,0.0093397,"\int \frac{1}{x \sqrt{1+x}} \, dx","IntegrateAlgebraic[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",1
226,1,12,14,0.0050628,"\int \frac{1}{-\sqrt[3]{x}+x} \, dx","IntegrateAlgebraic[(-x^(1/3) + x)^(-1),x]","\frac{3}{2} \log \left(x^{2/3}-1\right)","\frac{3}{2} \log \left(1-x^{2/3}\right)",1,"(3*Log[-1 + x^(2/3)])/2","A",1
227,1,29,31,0.0117483,"\int \frac{1}{x-\sqrt{2+x}} \, dx","IntegrateAlgebraic[(x - Sqrt[2 + x])^(-1),x]","\frac{4}{3} \log \left(\sqrt{x+2}-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",1
228,1,21,32,0.006709,"\int \frac{x^2}{\sqrt{-1+x}} \, dx","IntegrateAlgebraic[x^2/Sqrt[-1 + x],x]","\frac{2}{15} \sqrt{x-1} \left(3 x^2+4 x+8\right)","\frac{2}{5} (x-1)^{5/2}+\frac{4}{3} (x-1)^{3/2}+2 \sqrt{x-1}",1,"(2*Sqrt[-1 + x]*(8 + 4*x + 3*x^2))/15","A",1
229,1,31,31,0.0152006,"\int \frac{\sqrt{-1+x}}{1+x} \, dx","IntegrateAlgebraic[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",1
230,1,36,29,0.0209105,"\int \frac{1}{\sqrt{1+\sqrt{x}}} \, dx","IntegrateAlgebraic[1/Sqrt[1 + Sqrt[x]],x]","\frac{4}{3} \sqrt{\sqrt{x}+1} \sqrt{x}-\frac{8 \sqrt{\sqrt{x}+1}}{3}","\frac{4}{3} \left(\sqrt{x}+1\right)^{3/2}-4 \sqrt{\sqrt{x}+1}",1,"(-8*Sqrt[1 + Sqrt[x]])/3 + (4*Sqrt[1 + Sqrt[x]]*Sqrt[x])/3","A",1
231,1,8,8,0.0058353,"\int \frac{\sqrt{x}}{x+x^2} \, dx","IntegrateAlgebraic[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",1
232,1,19,21,0.0089127,"\int \frac{1+\sqrt{x}}{-1+\sqrt{x}} \, dx","IntegrateAlgebraic[(1 + Sqrt[x])/(-1 + Sqrt[x]),x]","x+4 \sqrt{x}+4 \log \left(\sqrt{x}-1\right)","x+4 \sqrt{x}+4 \log \left(1-\sqrt{x}\right)",1,"4*Sqrt[x] + x + 4*Log[-1 + Sqrt[x]]","A",1
233,1,28,30,0.0112322,"\int \frac{1+\frac{1}{\sqrt[3]{x}}}{-1+\frac{1}{\sqrt[3]{x}}} \, dx","IntegrateAlgebraic[(1 + x^(-1/3))/(-1 + x^(-1/3)),x]","-3 x^{2/3}-x-6 \sqrt[3]{x}-6 \log \left(\sqrt[3]{x}-1\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",1
234,1,20,27,0.0217132,"\int \frac{x^3}{\sqrt[3]{1+x^2}} \, dx","IntegrateAlgebraic[x^3/(1 + x^2)^(1/3),x]","\frac{3}{20} \left(x^2+1\right)^{2/3} \left(2 x^2-3\right)","\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)*(-3 + 2*x^2))/20","A",1
235,1,213,201,0.3588361,"\int \frac{\sqrt{x}}{-\frac{1}{\sqrt[3]{x}}+\sqrt{x}} \, dx","IntegrateAlgebraic[Sqrt[x]/(-x^(-1/3) + Sqrt[x]),x]","x+6 \sqrt[6]{x}+\frac{6}{5} \log \left(\sqrt[6]{x}-1\right)+\frac{3}{10} \left(\sqrt{5}-1\right) \log \left(2 \sqrt[3]{x}+\left(1-\sqrt{5}\right) \sqrt[6]{x}+2\right)-\frac{3}{10} \left(1+\sqrt{5}\right) \log \left(2 \sqrt[3]{x}+\left(1+\sqrt{5}\right) \sqrt[6]{x}+2\right)+\frac{3}{5} \sqrt{2 \left(5+\sqrt{5}\right)} \tan ^{-1}\left(\sqrt{\frac{1}{10} \left(10-4 \sqrt{5}\right)}-\frac{\sqrt{10-2 \sqrt{5}} \sqrt[6]{x}}{\sqrt{5}}\right)-\frac{3}{5} \sqrt{2 \left(5-\sqrt{5}\right)} \tan ^{-1}\left(\sqrt{\frac{1}{5} \left(10+2 \sqrt{5}\right)} \sqrt[6]{x}+\sqrt{\frac{1}{10} \left(10+4 \sqrt{5}\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[Sqrt[(10 - 4*Sqrt[5])/10] - (Sqrt[10 - 2*Sqrt[5]]*x^(1/6))/Sqrt[5]])/5 - (3*Sqrt[2*(5 - Sqrt[5])]*ArcTan[Sqrt[(10 + 4*Sqrt[5])/10] + Sqrt[(10 + 2*Sqrt[5])/5]*x^(1/6)])/5 + (6*Log[-1 + x^(1/6)])/5 + (3*(-1 + Sqrt[5])*Log[2 + (1 - Sqrt[5])*x^(1/6) + 2*x^(1/3)])/10 - (3*(1 + Sqrt[5])*Log[2 + (1 + Sqrt[5])*x^(1/6) + 2*x^(1/3)])/10","A",0
236,1,65,62,0.0252291,"\int \frac{1}{\frac{1}{\sqrt[4]{x}}+\sqrt{x}} \, dx","IntegrateAlgebraic[(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}{\sqrt{3}}-\frac{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/Sqrt[3] - (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",1
237,1,130,130,0.0237775,"\int \frac{1}{\frac{1}{\sqrt[3]{x}}+\frac{1}{\sqrt[4]{x}}} \, dx","IntegrateAlgebraic[(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",1
238,1,28,24,0.0216901,"\int \sqrt{\frac{1-x}{x}} \, dx","IntegrateAlgebraic[Sqrt[(1 - x)/x],x]","\sqrt{\frac{1}{x}-1} x-\tan ^{-1}\left(\sqrt{\frac{1-x}{x}}\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)/x]]","A",1
239,0,0,11,0.0000412,"\int \frac{\cos (x)}{\sin (x)+\sin ^2(x)} \, dx","IntegrateAlgebraic[Cos[x]/(Sin[x] + Sin[x]^2),x]","\int \frac{\cos (x)}{\sin (x)+\sin ^2(x)} \, dx","\log (\sin (x))-\log (\sin (x)+1)",1,"Could not integrate","F",-1
240,0,0,17,0.0000724,"\int \frac{e^{2 x}}{2+3 e^x+e^{2 x}} \, dx","IntegrateAlgebraic[E^(2*x)/(2 + 3*E^x + E^(2*x)),x]","\int \frac{e^{2 x}}{2+3 e^x+e^{2 x}} \, dx","2 \log \left(e^x+2\right)-\log \left(e^x+1\right)",1,"Could not integrate","F",-1
241,0,0,12,0.0000642,"\int \frac{1}{\sqrt{1+e^x}} \, dx","IntegrateAlgebraic[1/Sqrt[1 + E^x],x]","\int \frac{1}{\sqrt{1+e^x}} \, dx","-2 \tanh ^{-1}\left(\sqrt{e^x+1}\right)",1,"Could not integrate","F",-1
242,0,0,28,0.0000557,"\int \sqrt{1-e^x} \, dx","IntegrateAlgebraic[Sqrt[1 - E^x],x]","\int \sqrt{1-e^x} \, dx","2 \sqrt{1-e^x}-2 \tanh ^{-1}\left(\sqrt{1-e^x}\right)",1,"Could not integrate","F",-1
243,0,0,43,0.0000302,"\int \frac{1}{3-5 \sin (x)} \, dx","IntegrateAlgebraic[(3 - 5*Sin[x])^(-1),x]","\int \frac{1}{3-5 \sin (x)} \, dx","\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,"Could not integrate","F",-1
244,0,0,21,0.0000363,"\int \frac{1}{\cos (x)+\sin (x)} \, dx","IntegrateAlgebraic[(Cos[x] + Sin[x])^(-1),x]","\int \frac{1}{\cos (x)+\sin (x)} \, dx","-\frac{\tanh ^{-1}\left(\frac{\cos (x)-\sin (x)}{\sqrt{2}}\right)}{\sqrt{2}}",1,"Could not integrate","F",-1
245,0,0,11,0.0000322,"\int \frac{1}{1-\cos (x)+\sin (x)} \, dx","IntegrateAlgebraic[(1 - Cos[x] + Sin[x])^(-1),x]","\int \frac{1}{1-\cos (x)+\sin (x)} \, dx","-\log \left(\cot \left(\frac{x}{2}\right)+1\right)",1,"Could not integrate","F",-1
246,0,0,18,0.0000331,"\int \frac{1}{4 \cos (x)+3 \sin (x)} \, dx","IntegrateAlgebraic[(4*Cos[x] + 3*Sin[x])^(-1),x]","\int \frac{1}{4 \cos (x)+3 \sin (x)} \, dx","-\frac{1}{5} \tanh ^{-1}\left(\frac{1}{5} (3 \cos (x)-4 \sin (x))\right)",1,"Could not integrate","F",-1
247,0,0,24,0.0000321,"\int \frac{1}{\sin (x)+\tan (x)} \, dx","IntegrateAlgebraic[(Sin[x] + Tan[x])^(-1),x]","\int \frac{1}{\sin (x)+\tan (x)} \, dx","-\frac{1}{2} \csc ^2(x)-\frac{1}{2} \tanh ^{-1}(\cos (x))+\frac{1}{2} \cot (x) \csc (x)",1,"Could not integrate","F",-1
248,0,0,24,0.0000367,"\int \frac{1}{2 \sin (x)+\sin (2 x)} \, dx","IntegrateAlgebraic[(2*Sin[x] + Sin[2*x])^(-1),x]","\int \frac{1}{2 \sin (x)+\sin (2 x)} \, dx","\frac{1}{8} \tan ^2\left(\frac{x}{2}\right)+\frac{1}{4} \log \left(\tan \left(\frac{x}{2}\right)\right)",1,"Could not integrate","F",-1
249,0,0,18,0.0000337,"\int \frac{\sec (x)}{1+\sin (x)} \, dx","IntegrateAlgebraic[Sec[x]/(1 + Sin[x]),x]","\int \frac{\sec (x)}{1+\sin (x)} \, dx","\frac{1}{2} \tanh ^{-1}(\sin (x))-\frac{1}{2 (\sin (x)+1)}",1,"Could not integrate","F",-1
250,0,0,36,0.0000361,"\int \frac{1}{b \cos (x)+a \sin (x)} \, dx","IntegrateAlgebraic[(b*Cos[x] + a*Sin[x])^(-1),x]","\int \frac{1}{b \cos (x)+a \sin (x)} \, dx","-\frac{\tanh ^{-1}\left(\frac{a \cos (x)-b \sin (x)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}",1,"Could not integrate","F",-1
251,0,0,15,0.0000817,"\int \frac{1}{b^2 \cos ^2(x)+a^2 \sin ^2(x)} \, dx","IntegrateAlgebraic[(b^2*Cos[x]^2 + a^2*Sin[x]^2)^(-1),x]","\int \frac{1}{b^2 \cos ^2(x)+a^2 \sin ^2(x)} \, dx","\frac{\tan ^{-1}\left(\frac{a \tan (x)}{b}\right)}{a b}",1,"Could not integrate","F",-1
252,1,10,12,0.0032766,"\int \frac{x}{-1+x^2} \, dx","IntegrateAlgebraic[x/(-1 + x^2),x]","\frac{1}{2} \log \left(x^2-1\right)","\frac{1}{2} \log \left(1-x^2\right)",1,"Log[-1 + x^2]/2","A",1
253,1,17,17,0.0055818,"\int \left(1+\sqrt{x}\right) \sqrt{x} \, dx","IntegrateAlgebraic[(1 + Sqrt[x])*Sqrt[x],x]","\frac{2 x^{3/2}}{3}+\frac{x^2}{2}","\frac{2 x^{3/2}}{3}+\frac{x^2}{2}",1,"(2*x^(3/2))/3 + x^2/2","A",1
254,0,0,12,0.0000339,"\int \frac{1}{1-\cos (x)} \, dx","IntegrateAlgebraic[(1 - Cos[x])^(-1),x]","\int \frac{1}{1-\cos (x)} \, dx","-\frac{\sin (x)}{1-\cos (x)}",1,"Could not integrate","F",-1
255,0,0,16,0.0000307,"\int \sec (x) \tan ^2(x) \, dx","IntegrateAlgebraic[Sec[x]*Tan[x]^2,x]","\int \sec (x) \tan ^2(x) \, dx","\frac{1}{2} \tan (x) \sec (x)-\frac{1}{2} \tanh ^{-1}(\sin (x))",1,"Could not integrate","F",-1
256,0,0,17,0.0000335,"\int \sec ^3(x) \tan ^3(x) \, dx","IntegrateAlgebraic[Sec[x]^3*Tan[x]^3,x]","\int \sec ^3(x) \tan ^3(x) \, dx","\frac{\sec ^5(x)}{5}-\frac{\sec ^3(x)}{3}",1,"Could not integrate","F",-1
257,0,0,24,0.0000515,"\int e^{\sqrt{x}} \, dx","IntegrateAlgebraic[E^Sqrt[x],x]","\int e^{\sqrt{x}} \, dx","2 e^{\sqrt{x}} \sqrt{x}-2 e^{\sqrt{x}}",1,"Could not integrate","F",-1
258,1,38,42,0.0121649,"\int \frac{1+x^5}{-10 x-3 x^2+x^3} \, dx","IntegrateAlgebraic[(1 + x^5)/(-10*x - 3*x^2 + x^3),x]","\frac{1}{6} x \left(2 x^2+9 x+114\right)+\frac{3126}{35} \log (x-5)-\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,"(x*(114 + 9*x + 2*x^2))/6 + (3126*Log[-5 + x])/35 - Log[x]/10 - (31*Log[2 + x])/14","A",1
259,0,0,8,0.0000337,"\int \frac{1}{x \sqrt{\log (x)}} \, dx","IntegrateAlgebraic[1/(x*Sqrt[Log[x]]),x]","\int \frac{1}{x \sqrt{\log (x)}} \, dx","2 \sqrt{\log (x)}",1,"Could not integrate","F",-1
260,1,10,12,0.0050989,"\int \frac{5+2 x}{-3+x} \, dx","IntegrateAlgebraic[(5 + 2*x)/(-3 + x),x]","2 x+11 \log (x-3)","2 x+11 \log (3-x)",1,"2*x + 11*Log[-3 + x]","A",1
261,0,0,5,0.0000563,"\int e^{e^x+x} \, dx","IntegrateAlgebraic[E^(E^x + x),x]","\int e^{e^x+x} \, dx","e^{e^x}",1,"Could not integrate","F",-1
262,0,0,24,0.0000322,"\int \cos ^2(x) \sin ^2(x) \, dx","IntegrateAlgebraic[Cos[x]^2*Sin[x]^2,x]","\int \cos ^2(x) \sin ^2(x) \, dx","\frac{x}{8}-\frac{1}{4} \sin (x) \cos ^3(x)+\frac{1}{8} \sin (x) \cos (x)",1,"Could not integrate","F",-1
263,0,0,8,0.0000649,"\int \frac{-\cos (x)+\sin (x)}{\cos (x)+\sin (x)} \, dx","IntegrateAlgebraic[(-Cos[x] + Sin[x])/(Cos[x] + Sin[x]),x]","\int \frac{-\cos (x)+\sin (x)}{\cos (x)+\sin (x)} \, dx","-\log (\sin (x)+\cos (x))",1,"Could not integrate","F",-1
264,1,13,13,0.0000952,"\int \frac{x}{\sqrt{1-x^2}} \, dx","IntegrateAlgebraic[x/Sqrt[1 - x^2],x]","-\sqrt{1-x^2}","-\sqrt{1-x^2}",1,"-Sqrt[1 - x^2]","A",1
265,0,0,17,0.000036,"\int x^3 \log (x) \, dx","IntegrateAlgebraic[x^3*Log[x],x]","\int x^3 \log (x) \, dx","\frac{1}{4} x^4 \log (x)-\frac{x^4}{16}",1,"Could not integrate","F",-1
266,1,24,24,0.0114885,"\int \frac{\sqrt{-2+x}}{2+x} \, dx","IntegrateAlgebraic[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",1
267,1,12,12,0.0054309,"\int \frac{x}{(2+x)^2} \, dx","IntegrateAlgebraic[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",1
268,0,0,16,0.0000312,"\int \log \left(1+x^2\right) \, dx","IntegrateAlgebraic[Log[1 + x^2],x]","\int \log \left(1+x^2\right) \, dx","x \log \left(x^2+1\right)-2 x+2 \tan ^{-1}(x)",1,"Could not integrate","F",-1
269,0,0,22,0.0000368,"\int \frac{\sqrt{1+\log (x)}}{x \log (x)} \, dx","IntegrateAlgebraic[Sqrt[1 + Log[x]]/(x*Log[x]),x]","\int \frac{\sqrt{1+\log (x)}}{x \log (x)} \, dx","2 \sqrt{\log (x)+1}-2 \tanh ^{-1}\left(\sqrt{\log (x)+1}\right)",1,"Could not integrate","F",-1
270,1,60,27,0.0115661,"\int \left(1+\sqrt{x}\right)^8 \, dx","IntegrateAlgebraic[(1 + Sqrt[x])^8,x]","\frac{16 x^{9/2}}{9}+16 x^{7/2}+\frac{112 x^{5/2}}{5}+\frac{16 x^{3/2}}{3}+\frac{x^5}{5}+7 x^4+\frac{70 x^3}{3}+14 x^2+x","\frac{1}{5} \left(\sqrt{x}+1\right)^{10}-\frac{2}{9} \left(\sqrt{x}+1\right)^9",1,"x + (16*x^(3/2))/3 + 14*x^2 + (112*x^(5/2))/5 + (70*x^3)/3 + 16*x^(7/2) + 7*x^4 + (16*x^(9/2))/9 + x^5/5","B",1
271,0,0,17,0.0000336,"\int \sec ^4(x) \tan ^3(x) \, dx","IntegrateAlgebraic[Sec[x]^4*Tan[x]^3,x]","\int \sec ^4(x) \tan ^3(x) \, dx","\frac{\sec ^6(x)}{6}-\frac{\sec ^4(x)}{4}",1,"Could not integrate","F",-1
272,1,22,22,0.0069638,"\int \frac{x}{2-2 x+x^2} \, dx","IntegrateAlgebraic[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",1
273,0,0,32,0.0000547,"\int x \sin ^{-1}(x) \, dx","IntegrateAlgebraic[x*ArcSin[x],x]","\int x \sin ^{-1}(x) \, dx","\frac{1}{4} \sqrt{1-x^2} x+\frac{1}{2} x^2 \sin ^{-1}(x)-\frac{1}{4} \sin ^{-1}(x)",1,"Could not integrate","F",-1
274,1,30,30,0.0218,"\int \frac{\sqrt{9-x^2}}{x} \, dx","IntegrateAlgebraic[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",1
275,1,13,13,0.0059582,"\int \frac{x}{2+3 x+x^2} \, dx","IntegrateAlgebraic[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",1
276,0,0,16,0.0000318,"\int x^2 \cosh (x) \, dx","IntegrateAlgebraic[x^2*Cosh[x],x]","\int x^2 \cosh (x) \, dx","x^2 \sinh (x)+2 \sinh (x)-2 x \cosh (x)",1,"Could not integrate","F",-1
277,1,20,17,0.0086865,"\int \frac{1+x+x^3}{4 x+2 x^2+x^4} \, dx","IntegrateAlgebraic[(1 + x + x^3)/(4*x + 2*x^2 + x^4),x]","\frac{1}{4} \log \left(x^3+2 x+4\right)+\frac{\log (x)}{4}","\frac{1}{4} \log \left(x^4+2 x^2+4 x\right)",1,"Log[x]/4 + Log[4 + 2*x + x^3]/4","A",1
278,0,0,3,0.0000393,"\int \frac{\cos (x)}{1+\sin ^2(x)} \, dx","IntegrateAlgebraic[Cos[x]/(1 + Sin[x]^2),x]","\int \frac{\cos (x)}{1+\sin ^2(x)} \, dx","\tan ^{-1}(\sin (x))",1,"Could not integrate","F",-1
279,0,0,22,0.000025,"\int \cos \left(\sqrt{x}\right) \, dx","IntegrateAlgebraic[Cos[Sqrt[x]],x]","\int \cos \left(\sqrt{x}\right) \, dx","2 \sqrt{x} \sin \left(\sqrt{x}\right)+2 \cos \left(\sqrt{x}\right)",1,"Could not integrate","F",-1
280,0,0,9,0.0000534,"\int \sin (\pi  x) \, dx","IntegrateAlgebraic[Sin[Pi*x],x]","\int \sin (\pi  x) \, dx","-\frac{\cos (\pi  x)}{\pi }",1,"Could not integrate","F",-1
281,0,0,12,0.0000691,"\int \frac{e^{2 x}}{1+e^x} \, dx","IntegrateAlgebraic[E^(2*x)/(1 + E^x),x]","\int \frac{e^{2 x}}{1+e^x} \, dx","e^x-\log \left(e^x+1\right)",1,"Could not integrate","F",-1
282,0,0,27,0.0000314,"\int e^{3 x} \cos (5 x) \, dx","IntegrateAlgebraic[E^(3*x)*Cos[5*x],x]","\int e^{3 x} \cos (5 x) \, dx","\frac{5}{34} e^{3 x} \sin (5 x)+\frac{3}{34} e^{3 x} \cos (5 x)",1,"Could not integrate","F",-1
283,0,0,17,0.0000315,"\int \cos (3 x) \cos (5 x) \, dx","IntegrateAlgebraic[Cos[3*x]*Cos[5*x],x]","\int \cos (3 x) \cos (5 x) \, dx","\frac{1}{4} \sin (2 x)+\frac{1}{16} \sin (8 x)",1,"Could not integrate","F",-1
284,1,25,25,0.0090813,"\int \frac{1}{1+x+x^2+x^3} \, dx","IntegrateAlgebraic[(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",1
285,0,0,39,0.0000336,"\int x^2 \log (1+x) \, dx","IntegrateAlgebraic[x^2*Log[1 + x],x]","\int x^2 \log (1+x) \, dx","-\frac{x^3}{9}+\frac{1}{3} x^3 \log (x+1)+\frac{x^2}{6}-\frac{x}{3}+\frac{1}{3} \log (x+1)",1,"Could not integrate","F",-1
286,0,0,26,0.0000622,"\int e^{-x^3} x^5 \, dx","IntegrateAlgebraic[x^5/E^x^3,x]","\int e^{-x^3} x^5 \, dx","-\frac{1}{3} e^{-x^3} x^3-\frac{e^{-x^3}}{3}",1,"Could not integrate","F",-1
287,0,0,12,0.0000269,"\int \tan ^2(4 x) \, dx","IntegrateAlgebraic[Tan[4*x]^2,x]","\int \tan ^2(4 x) \, dx","\frac{1}{4} \tan (4 x)-x",1,"Could not integrate","F",-1
288,1,24,25,0.0670655,"\int \frac{1}{\sqrt{-5+12 x+9 x^2}} \, dx","IntegrateAlgebraic[1/Sqrt[-5 + 12*x + 9*x^2],x]","-\frac{1}{3} \log \left(\sqrt{9 x^2+12 x-5}-3 x-2\right)","\frac{1}{3} \tanh ^{-1}\left(\frac{3 x+2}{\sqrt{9 x^2+12 x-5}}\right)",1,"-1/3*Log[-2 - 3*x + Sqrt[-5 + 12*x + 9*x^2]]","A",1
289,0,0,27,0.0000353,"\int x^2 \tan ^{-1}(x) \, dx","IntegrateAlgebraic[x^2*ArcTan[x],x]","\int x^2 \tan ^{-1}(x) \, dx","\frac{1}{3} x^3 \tan ^{-1}(x)-\frac{x^2}{6}+\frac{1}{6} \log \left(x^2+1\right)",1,"Could not integrate","F",-1
290,1,19,19,0.0064705,"\int \frac{1-\sqrt{x}}{\sqrt[3]{x}} \, dx","IntegrateAlgebraic[(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",1
291,0,0,6,0.0000618,"\int \frac{1}{-e^{-x}+e^x} \, dx","IntegrateAlgebraic[(-E^(-x) + E^x)^(-1),x]","\int \frac{1}{-e^{-x}+e^x} \, dx","-\tanh ^{-1}\left(e^x\right)",1,"Could not integrate","F",-1
292,1,16,14,0.0070556,"\int \frac{x}{10+2 x^2+x^4} \, dx","IntegrateAlgebraic[x/(10 + 2*x^2 + x^4),x]","\frac{1}{6} \tan ^{-1}\left(\frac{x^2}{3}+\frac{1}{3}\right)","\frac{1}{6} \tan ^{-1}\left(\frac{1}{3} \left(x^2+1\right)\right)",1,"ArcTan[1/3 + x^2/3]/6","A",1
293,1,12,12,0.0064392,"\int \frac{1}{\frac{1}{\sqrt[3]{x}}+x} \, dx","IntegrateAlgebraic[(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",1
294,0,0,34,0.0000349,"\int \cos ^4(x) \sin ^2(x) \, dx","IntegrateAlgebraic[Cos[x]^4*Sin[x]^2,x]","\int \cos ^4(x) \sin ^2(x) \, dx","\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,"Could not integrate","F",-1
295,1,23,12,0.0929966,"\int \frac{1}{\sqrt{5-4 x-x^2}} \, dx","IntegrateAlgebraic[1/Sqrt[5 - 4*x - x^2],x]","-2 \tan ^{-1}\left(\frac{\sqrt{-x^2-4 x+5}}{x+5}\right)","-\sin ^{-1}\left(\frac{1}{3} (-x-2)\right)",1,"-2*ArcTan[Sqrt[5 - 4*x - x^2]/(5 + x)]","A",1
296,1,16,16,0.0142632,"\int \frac{x}{1-x^2+\sqrt{1-x^2}} \, dx","IntegrateAlgebraic[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",1
297,0,0,7,0.0000373,"\int (1+\cos (x)) \csc (x) \, dx","IntegrateAlgebraic[(1 + Cos[x])*Csc[x],x]","\int (1+\cos (x)) \csc (x) \, dx","\log (1-\cos (x))",1,"Could not integrate","F",-1
298,0,0,6,0.0000647,"\int \frac{e^x}{-1+e^{2 x}} \, dx","IntegrateAlgebraic[E^x/(-1 + E^(2*x)),x]","\int \frac{e^x}{-1+e^{2 x}} \, dx","-\tanh ^{-1}\left(e^x\right)",1,"Could not integrate","F",-1
299,1,45,43,0.0163966,"\int \frac{1}{-8+x^3} \, dx","IntegrateAlgebraic[(-8 + x^3)^(-1),x]","-\frac{1}{24} \log \left(x^2+2 x+4\right)+\frac{1}{12} \log (x-2)-\frac{\tan ^{-1}\left(\frac{x}{\sqrt{3}}+\frac{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,"-1/4*ArcTan[1/Sqrt[3] + x/Sqrt[3]]/Sqrt[3] + Log[-2 + x]/12 - Log[4 + 2*x + x^2]/24","A",1
300,0,0,37,0.0000357,"\int x^5 \cosh (x) \, dx","IntegrateAlgebraic[x^5*Cosh[x],x]","\int x^5 \cosh (x) \, dx","x^5 \sinh (x)-5 x^4 \cosh (x)+20 x^3 \sinh (x)-60 x^2 \cosh (x)+120 x \sinh (x)-120 \cosh (x)",1,"Could not integrate","F",-1
301,0,0,9,0.0000344,"\int \csc (x) \log (\tan (x)) \sec (x) \, dx","IntegrateAlgebraic[Csc[x]*Log[Tan[x]]*Sec[x],x]","\int \csc (x) \log (\tan (x)) \sec (x) \, dx","\frac{1}{2} \log ^2(\tan (x))",1,"Could not integrate","F",-1
302,1,17,20,0.0028025,"\int \left(-2 x+x^2+x^3\right) \, dx","IntegrateAlgebraic[-2*x + x^2 + x^3,x]","\frac{1}{12} x^2 \left(3 x^2+4 x-12\right)","\frac{x^4}{4}+\frac{x^3}{3}-x^2",1,"(x^2*(-12 + 4*x + 3*x^2))/12","A",1
303,0,0,12,0.0000674,"\int \frac{1+e^x}{1-e^x} \, dx","IntegrateAlgebraic[(1 + E^x)/(1 - E^x),x]","\int \frac{1+e^x}{1-e^x} \, dx","x-2 \log \left(1-e^x\right)",1,"Could not integrate","F",-1
304,1,16,21,0.0076912,"\int \frac{x}{\left(1+x^2\right) \left(4+x^2\right)} \, dx","IntegrateAlgebraic[x/((1 + x^2)*(4 + x^2)),x]","-\frac{1}{3} \tanh ^{-1}\left(\frac{2 x^2}{3}+\frac{5}{3}\right)","\frac{1}{6} \log \left(x^2+1\right)-\frac{1}{6} \log \left(x^2+4\right)",1,"-1/3*ArcTanh[5/3 + (2*x^2)/3]","A",1
305,0,0,43,0.0000326,"\int \frac{1}{4-5 \sin (x)} \, dx","IntegrateAlgebraic[(4 - 5*Sin[x])^(-1),x]","\int \frac{1}{4-5 \sin (x)} \, dx","\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,"Could not integrate","F",-1
306,1,26,24,0.0078363,"\int x \sqrt[3]{c+x} \, dx","IntegrateAlgebraic[x*(c + x)^(1/3),x]","-\frac{3}{28} \sqrt[3]{c+x} \left(3 c^2-c x-4 x^2\right)","\frac{3}{7} (c+x)^{7/3}-\frac{3}{4} c (c+x)^{4/3}",1,"(-3*(c + x)^(1/3)*(3*c^2 - c*x - 4*x^2))/28","A",1
307,0,0,38,0.0000532,"\int e^{\sqrt[3]{x}} \, dx","IntegrateAlgebraic[E^x^(1/3),x]","\int e^{\sqrt[3]{x}} \, dx","3 e^{\sqrt[3]{x}} x^{2/3}-6 e^{\sqrt[3]{x}} \sqrt[3]{x}+6 e^{\sqrt[3]{x}}",1,"Could not integrate","F",-1
308,1,40,37,0.0243862,"\int \frac{1}{4+x+\sqrt{1+x}} \, dx","IntegrateAlgebraic[(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}}{\sqrt{11}}+\frac{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/Sqrt[11] + (2*Sqrt[1 + x])/Sqrt[11]])/Sqrt[11] + Log[4 + x + Sqrt[1 + x]]","A",1
309,1,20,17,0.0074411,"\int \frac{1+x^3}{-x^2+x^3} \, dx","IntegrateAlgebraic[(1 + x^3)/(-x^2 + x^3),x]","\frac{x^2+1}{x}+2 \log (x-1)-\log (x)","x+\frac{1}{x}+2 \log (1-x)-\log (x)",1,"(1 + x^2)/x + 2*Log[-1 + x] - Log[x]","A",1
310,0,0,40,0.000038,"\int \left(-3+4 x+x^2\right) \sin (2 x) \, dx","IntegrateAlgebraic[(-3 + 4*x + x^2)*Sin[2*x],x]","\int \left(-3+4 x+x^2\right) \sin (2 x) \, dx","-\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,"Could not integrate","F",-1
311,0,0,5,0.0000338,"\int \cos (\cos (x)) \sin (x) \, dx","IntegrateAlgebraic[Cos[Cos[x]]*Sin[x],x]","\int \cos (\cos (x)) \sin (x) \, dx","-\sin (\cos (x))",1,"Could not integrate","F",-1
312,1,22,6,0.0306769,"\int \frac{1}{\sqrt{16-x^2}} \, dx","IntegrateAlgebraic[1/Sqrt[16 - x^2],x]","i \log \left(\sqrt{16-x^2}-i x\right)","\sin ^{-1}\left(\frac{x}{4}\right)",1,"I*Log[(-I)*x + Sqrt[16 - x^2]]","C",1
313,1,24,37,0.009259,"\int \frac{x^3}{(1+x)^{10}} \, dx","IntegrateAlgebraic[x^3/(1 + x)^10,x]","\frac{-84 x^3-36 x^2-9 x-1}{504 (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*x - 36*x^2 - 84*x^3)/(504*(1 + x)^9)","A",1
314,0,0,21,0.0000736,"\int \cot ^3(2 x) \csc ^3(2 x) \, dx","IntegrateAlgebraic[Cot[2*x]^3*Csc[2*x]^3,x]","\int \cot ^3(2 x) \csc ^3(2 x) \, dx","\frac{1}{6} \csc ^3(2 x)-\frac{1}{10} \csc ^5(2 x)",1,"Could not integrate","F",-1
315,0,0,30,0.0000309,"\int (x+\sin (x))^2 \, dx","IntegrateAlgebraic[(x + Sin[x])^2,x]","\int (x+\sin (x))^2 \, dx","\frac{x^3}{3}+\frac{x}{2}+2 \sin (x)-2 x \cos (x)-\frac{1}{2} \sin (x) \cos (x)",1,"Could not integrate","F",-1
316,0,0,4,0.0000399,"\int \frac{e^{\tan ^{-1}(x)}}{1+x^2} \, dx","IntegrateAlgebraic[E^ArcTan[x]/(1 + x^2),x]","\int \frac{e^{\tan ^{-1}(x)}}{1+x^2} \, dx","e^{\tan ^{-1}(x)}",1,"Could not integrate","F",-1
317,1,13,13,0.0056548,"\int \frac{1}{x \left(1+x^4\right)} \, dx","IntegrateAlgebraic[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",1
318,0,0,44,0.0000621,"\int e^{-2 t} t^3 \, dt","IntegrateAlgebraic[t^3/E^(2*t),t]","\int e^{-2 t} t^3 \, dt","-\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,"Could not integrate","F",-1
319,1,41,41,0.0143154,"\int \frac{\sqrt{t}}{1+\sqrt[3]{t}} \, dt","IntegrateAlgebraic[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",1
320,0,0,25,0.0000413,"\int \sin (x) \sin (2 x) \sin (3 x) \, dx","IntegrateAlgebraic[Sin[x]*Sin[2*x]*Sin[3*x],x]","\int \sin (x) \sin (2 x) \sin (3 x) \, dx","-\frac{1}{8} \cos (2 x)-\frac{1}{16} \cos (4 x)+\frac{1}{24} \cos (6 x)",1,"Could not integrate","F",-1
321,0,0,12,0.0000597,"\int \log \left(\frac{x}{2}\right) \, dx","IntegrateAlgebraic[Log[x/2],x]","\int \log \left(\frac{x}{2}\right) \, dx","x \log \left(\frac{x}{2}\right)-x",1,"Could not integrate","F",-1
322,1,38,41,0.0265816,"\int \sqrt{\frac{1+x}{1-x}} \, dx","IntegrateAlgebraic[Sqrt[(1 + x)/(1 - x)],x]","\sqrt{\frac{-x-1}{x-1}} (x-1)+2 \tan ^{-1}\left(\sqrt{\frac{-x-1}{x-1}}\right)","2 \tan ^{-1}\left(\sqrt{\frac{x+1}{1-x}}\right)-(1-x) \sqrt{\frac{x+1}{1-x}}",1,"Sqrt[(-1 - x)/(-1 + x)]*(-1 + x) + 2*ArcTan[Sqrt[(-1 - x)/(-1 + x)]]","A",1
323,0,0,34,0.0000374,"\int \frac{x \log (x)}{\sqrt{-1+x^2}} \, dx","IntegrateAlgebraic[(x*Log[x])/Sqrt[-1 + x^2],x]","\int \frac{x \log (x)}{\sqrt{-1+x^2}} \, dx","-\sqrt{x^2-1}+\sqrt{x^2-1} \log (x)+\tan ^{-1}\left(\sqrt{x^2-1}\right)",1,"Could not integrate","F",-1
324,1,19,19,0.0073736,"\int \frac{a+x}{a^2+x^2} \, dx","IntegrateAlgebraic[(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",1
325,1,45,38,0.0852631,"\int \sqrt{1+x-x^2} \, dx","IntegrateAlgebraic[Sqrt[1 + x - x^2],x]","\frac{1}{4} \sqrt{-x^2+x+1} (2 x-1)+\frac{5}{4} \tan ^{-1}\left(\frac{x}{\sqrt{-x^2+x+1}-1}\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*ArcTan[x/(-1 + Sqrt[1 + x - x^2])])/4","A",1
326,1,12,12,0.0059874,"\int \frac{x^4}{16+x^{10}} \, dx","IntegrateAlgebraic[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",1
327,1,34,31,0.0160898,"\int \frac{2+x}{2+x+x^2} \, dx","IntegrateAlgebraic[(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}{\sqrt{7}}+\frac{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/Sqrt[7] + (2*x)/Sqrt[7]])/Sqrt[7] + Log[2 + x + x^2]/2","A",1
328,0,0,10,0.0000437,"\int x \sec (x) \tan (x) \, dx","IntegrateAlgebraic[x*Sec[x]*Tan[x],x]","\int x \sec (x) \tan (x) \, dx","x \sec (x)-\tanh ^{-1}(\sin (x))",1,"Could not integrate","F",-1
329,1,15,15,0.0065221,"\int \frac{x}{-a^4+x^4} \, dx","IntegrateAlgebraic[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,"-1/2*ArcTanh[x^2/a^2]/a^2","A",1
330,1,84,21,0.0345199,"\int \frac{1}{\sqrt{x}+\sqrt{1+x}} \, dx","IntegrateAlgebraic[(Sqrt[x] + Sqrt[1 + x])^(-1),x]","\frac{\left(\sqrt{x+1}-1\right)^4 \left(\frac{4 x}{\left(\sqrt{x+1}-1\right)^2}+\frac{8 \sqrt{x}}{3 \left(\sqrt{x+1}-1\right)}+\frac{4}{3}\right)}{\left(\sqrt{x}-\sqrt{x+1}+1\right) \left(\sqrt{x}+\sqrt{x+1}-1\right)^3}","\frac{2}{3} (x+1)^{3/2}-\frac{2 x^{3/2}}{3}",1,"((-1 + Sqrt[1 + x])^4*(4/3 + (4*x)/(-1 + Sqrt[1 + x])^2 + (8*Sqrt[x])/(3*(-1 + Sqrt[1 + x]))))/((1 + Sqrt[x] - Sqrt[1 + x])*(-1 + Sqrt[x] + Sqrt[1 + x])^3)","B",1
331,0,0,23,0.0000707,"\int \frac{1}{1-e^{-x}+2 e^x} \, dx","IntegrateAlgebraic[(1 - E^(-x) + 2*E^x)^(-1),x]","\int \frac{1}{1-e^{-x}+2 e^x} \, dx","\frac{1}{3} \log \left(1-2 e^x\right)-\frac{1}{3} \log \left(e^x+1\right)",1,"Could not integrate","F",-1
332,0,0,20,0.0000685,"\int \frac{\tan ^{-1}\left(\sqrt{x}\right)}{\sqrt{x}} \, dx","IntegrateAlgebraic[ArcTan[Sqrt[x]]/Sqrt[x],x]","\int \frac{\tan ^{-1}\left(\sqrt{x}\right)}{\sqrt{x}} \, dx","2 \sqrt{x} \tan ^{-1}\left(\sqrt{x}\right)-\log (x+1)",1,"Could not integrate","F",-1
333,0,0,18,0.0000341,"\int \frac{\log (1+x)}{x^2} \, dx","IntegrateAlgebraic[Log[1 + x]/x^2,x]","\int \frac{\log (1+x)}{x^2} \, dx","\log (x)-\frac{\log (x+1)}{x}-\log (x+1)",1,"Could not integrate","F",-1
334,0,0,12,0.0000649,"\int \frac{1}{-e^x+e^{3 x}} \, dx","IntegrateAlgebraic[(-E^x + E^(3*x))^(-1),x]","\int \frac{1}{-e^x+e^{3 x}} \, dx","e^{-x}-\tanh ^{-1}\left(e^x\right)",1,"Could not integrate","F",-1
335,0,0,8,0.0000333,"\int \frac{1+\cos ^2(x)}{1-\cos ^2(x)} \, dx","IntegrateAlgebraic[(1 + Cos[x]^2)/(1 - Cos[x]^2),x]","\int \frac{1+\cos ^2(x)}{1-\cos ^2(x)} \, dx","-x-2 \cot (x)",1,"Could not integrate","F",-1
336,1,18,18,0.0085936,"\int \frac{1}{x \sqrt{-25+2 x}} \, dx","IntegrateAlgebraic[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",1
337,0,0,11,0.0000404,"\int \frac{\sin (2 x)}{\sqrt{9-\cos ^4(x)}} \, dx","IntegrateAlgebraic[Sin[2*x]/Sqrt[9 - Cos[x]^4],x]","\int \frac{\sin (2 x)}{\sqrt{9-\cos ^4(x)}} \, dx","-\sin ^{-1}\left(\frac{\cos ^2(x)}{3}\right)",1,"Could not integrate","F",-1
338,1,41,30,0.0304775,"\int \frac{x^2}{\sqrt{5-4 x^2}} \, dx","IntegrateAlgebraic[x^2/Sqrt[5 - 4*x^2],x]","-\frac{1}{8} x \sqrt{5-4 x^2}+\frac{5}{16} i \log \left(\sqrt{5-4 x^2}-2 i x\right)","\frac{5}{16} \sin ^{-1}\left(\frac{2 x}{\sqrt{5}}\right)-\frac{1}{8} x \sqrt{5-4 x^2}",1,"-1/8*(x*Sqrt[5 - 4*x^2]) + ((5*I)/16)*Log[(-2*I)*x + Sqrt[5 - 4*x^2]]","C",1
339,0,0,24,0.0000329,"\int x^3 \sin (x) \, dx","IntegrateAlgebraic[x^3*Sin[x],x]","\int x^3 \sin (x) \, dx","x^3 (-\cos (x))+3 x^2 \sin (x)-6 \sin (x)+6 x \cos (x)",1,"Could not integrate","F",-1
340,1,47,50,0.0773504,"\int x \sqrt{4+2 x+x^2} \, dx","IntegrateAlgebraic[x*Sqrt[4 + 2*x + x^2],x]","\frac{1}{6} \sqrt{x^2+2 x+4} \left(2 x^2+x+5\right)+\frac{3}{2} \log \left(\sqrt{x^2+2 x+4}-x-1\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,"(Sqrt[4 + 2*x + x^2]*(5 + x + 2*x^2))/6 + (3*Log[-1 - x + Sqrt[4 + 2*x + x^2]])/2","A",1
341,1,11,11,0.0050981,"\int x \left(5+x^2\right)^8 \, dx","IntegrateAlgebraic[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
342,0,0,25,0.0000354,"\int \cos ^2(x) \sin ^5(x) \, dx","IntegrateAlgebraic[Cos[x]^2*Sin[x]^5,x]","\int \cos ^2(x) \sin ^5(x) \, dx","-\frac{1}{7} \cos ^7(x)+\frac{2 \cos ^5(x)}{5}-\frac{\cos ^3(x)}{3}",1,"Could not integrate","F",-1
343,0,0,27,0.0000373,"\int e^{-3 x} \cos (4 x) \, dx","IntegrateAlgebraic[Cos[4*x]/E^(3*x),x]","\int e^{-3 x} \cos (4 x) \, dx","\frac{4}{25} e^{-3 x} \sin (4 x)-\frac{3}{25} e^{-3 x} \cos (4 x)",1,"Could not integrate","F",-1
344,0,0,24,0.0000359,"\int \csc ^3\left(\frac{x}{2}\right) \, dx","IntegrateAlgebraic[Csc[x/2]^3,x]","\int \csc ^3\left(\frac{x}{2}\right) \, dx","-\tanh ^{-1}\left(\cos \left(\frac{x}{2}\right)\right)-\cot \left(\frac{x}{2}\right) \csc \left(\frac{x}{2}\right)",1,"Could not integrate","F",-1
345,1,35,34,0.0366864,"\int \frac{\sqrt{-1+9 x^2}}{x^2} \, dx","IntegrateAlgebraic[Sqrt[-1 + 9*x^2]/x^2,x]","-\frac{\sqrt{9 x^2-1}}{x}-3 \log \left(\sqrt{9 x^2-1}-3 x\right)","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*Log[-3*x + Sqrt[-1 + 9*x^2]]","A",1
346,1,30,30,0.0227016,"\int \frac{\sqrt{4-3 x^2}}{x} \, dx","IntegrateAlgebraic[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",1
347,0,0,32,0.0000599,"\int e^{3 x} x^2 \, dx","IntegrateAlgebraic[E^(3*x)*x^2,x]","\int e^{3 x} x^2 \, dx","\frac{1}{3} e^{3 x} x^2-\frac{2}{9} e^{3 x} x+\frac{2 e^{3 x}}{27}",1,"Could not integrate","F",-1
348,0,0,23,0.0000356,"\int \frac{\cos (x) \sin (x)}{\sqrt{1+\sin (x)}} \, dx","IntegrateAlgebraic[(Cos[x]*Sin[x])/Sqrt[1 + Sin[x]],x]","\int \frac{\cos (x) \sin (x)}{\sqrt{1+\sin (x)}} \, dx","\frac{2}{3} (\sin (x)+1)^{3/2}-2 \sqrt{\sin (x)+1}",1,"Could not integrate","F",-1
349,0,0,27,0.0000564,"\int x \sin ^{-1}\left(x^2\right) \, dx","IntegrateAlgebraic[x*ArcSin[x^2],x]","\int x \sin ^{-1}\left(x^2\right) \, dx","\frac{\sqrt{1-x^4}}{2}+\frac{1}{2} x^2 \sin ^{-1}\left(x^2\right)",1,"Could not integrate","F",-1
350,0,0,38,0.0000618,"\int x^3 \sin ^{-1}\left(x^2\right) \, dx","IntegrateAlgebraic[x^3*ArcSin[x^2],x]","\int x^3 \sin ^{-1}\left(x^2\right) \, dx","-\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)",1,"Could not integrate","F",-1
351,0,0,5,0.0000562,"\int e^x \text{sech}\left(e^x\right) \, dx","IntegrateAlgebraic[E^x*Sech[E^x],x]","\int e^x \text{sech}\left(e^x\right) \, dx","\tan ^{-1}\left(\sinh \left(e^x\right)\right)",1,"Could not integrate","F",-1
352,0,0,29,0.0000496,"\int x^2 \cos (3 x) \, dx","IntegrateAlgebraic[x^2*Cos[3*x],x]","\int x^2 \cos (3 x) \, dx","\frac{1}{3} x^2 \sin (3 x)-\frac{2}{27} \sin (3 x)+\frac{2}{9} x \cos (3 x)",1,"Could not integrate","F",-1
353,1,45,36,0.0686616,"\int \sqrt{5-4 x-x^2} \, dx","IntegrateAlgebraic[Sqrt[5 - 4*x - x^2],x]","\frac{1}{2} (x+2) \sqrt{-x^2-4 x+5}-9 \tan ^{-1}\left(\frac{\sqrt{-x^2-4 x+5}}{x+5}\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*ArcTan[Sqrt[5 - 4*x - x^2]/(5 + x)]","A",1
354,1,29,28,0.0166092,"\int \frac{x^5}{\sqrt{2}+x^2} \, dx","IntegrateAlgebraic[x^5/(Sqrt[2] + x^2),x]","\log \left(x^2+\sqrt{2}\right)+\frac{1}{4} \left(x^4-2 \sqrt{2} x^2\right)","\frac{x^4}{4}-\frac{x^2}{\sqrt{2}}+\log \left(x^2+\sqrt{2}\right)",1,"(-2*Sqrt[2]*x^2 + x^4)/4 + Log[Sqrt[2] + x^2]","A",1
355,0,0,26,0.0000303,"\int \sec ^5(x) \, dx","IntegrateAlgebraic[Sec[x]^5,x]","\int \sec ^5(x) \, dx","\frac{3}{8} \tanh ^{-1}(\sin (x))+\frac{1}{4} \tan (x) \sec ^3(x)+\frac{3}{8} \tan (x) \sec (x)",1,"Could not integrate","F",-1
356,0,0,46,0.0000359,"\int \sin ^6(2 x) \, dx","IntegrateAlgebraic[Sin[2*x]^6,x]","\int \sin ^6(2 x) \, dx","\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,"Could not integrate","F",-1
357,0,0,20,0.0000419,"\int \cos (x) \log (\sin (x)) \sin ^2(x) \, dx","IntegrateAlgebraic[Cos[x]*Log[Sin[x]]*Sin[x]^2,x]","\int \cos (x) \log (\sin (x)) \sin ^2(x) \, dx","\frac{1}{3} \sin ^3(x) \log (\sin (x))-\frac{\sin ^3(x)}{9}",1,"Could not integrate","F",-1
358,0,0,21,0.0000653,"\int \frac{e^{-x}}{1+2 e^x} \, dx","IntegrateAlgebraic[1/(E^x*(1 + 2*E^x)),x]","\int \frac{e^{-x}}{1+2 e^x} \, dx","-2 x-e^{-x}+2 \log \left(2 e^x+1\right)",1,"Could not integrate","F",-1
359,0,0,37,0.0000391,"\int \sqrt{2+3 \cos (x)} \tan (x) \, dx","IntegrateAlgebraic[Sqrt[2 + 3*Cos[x]]*Tan[x],x]","\int \sqrt{2+3 \cos (x)} \tan (x) \, dx","2 \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{3 \cos (x)+2}}{\sqrt{2}}\right)-2 \sqrt{3 \cos (x)+2}",1,"Could not integrate","F",-1
360,1,32,28,0.0908116,"\int \frac{x}{\sqrt{-4 x+x^2}} \, dx","IntegrateAlgebraic[x/Sqrt[-4*x + x^2],x]","\sqrt{x^2-4 x}+4 \tanh ^{-1}\left(\frac{\sqrt{x^2-4 x}}{x-4}\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[Sqrt[-4*x + x^2]/(-4 + x)]","A",1
361,0,0,19,0.0000347,"\int \cos ^5(x) \, dx","IntegrateAlgebraic[Cos[x]^5,x]","\int \cos ^5(x) \, dx","\frac{\sin ^5(x)}{5}-\frac{2 \sin ^3(x)}{3}+\sin (x)",1,"Could not integrate","F",-1
362,0,0,46,0.0000558,"\int e^{-x} x^4 \, dx","IntegrateAlgebraic[x^4/E^x,x]","\int e^{-x} x^4 \, dx","-e^{-x} x^4-4 e^{-x} x^3-12 e^{-x} x^2-24 e^{-x} x-24 e^{-x}",1,"Could not integrate","F",-1
363,1,18,18,0.1523598,"\int \frac{x^4}{\sqrt{-2+x^{10}}} \, dx","IntegrateAlgebraic[x^4/Sqrt[-2 + x^10],x]","\frac{1}{5} \log \left(\sqrt{x^{10}-2}+x^5\right)","\frac{1}{5} \tanh ^{-1}\left(\frac{x^5}{\sqrt{x^{10}-2}}\right)",1,"Log[x^5 + Sqrt[-2 + x^10]]/5","A",1
364,0,0,27,0.0000359,"\int e^x \cos (4+3 x) \, dx","IntegrateAlgebraic[E^x*Cos[4 + 3*x],x]","\int e^x \cos (4+3 x) \, dx","\frac{3}{10} e^x \sin (3 x+4)+\frac{1}{10} e^x \cos (3 x+4)",1,"Could not integrate","F",-1
365,0,0,18,0.0000706,"\int e^x \log \left(1+e^x\right) \, dx","IntegrateAlgebraic[E^x*Log[1 + E^x],x]","\int e^x \log \left(1+e^x\right) \, dx","\left(e^x+1\right) \log \left(e^x+1\right)-e^x",1,"Could not integrate","F",-1
366,0,0,27,0.0000304,"\int x^2 \tan ^{-1}(x) \, dx","IntegrateAlgebraic[x^2*ArcTan[x],x]","\int x^2 \tan ^{-1}(x) \, dx","\frac{1}{3} x^3 \tan ^{-1}(x)-\frac{x^2}{6}+\frac{1}{6} \log \left(x^2+1\right)",1,"Could not integrate","F",-1
367,0,0,26,0.0000685,"\int \sqrt{-1+e^{2 x}} \, dx","IntegrateAlgebraic[Sqrt[-1 + E^(2*x)],x]","\int \sqrt{-1+e^{2 x}} \, dx","\sqrt{e^{2 x}-1}-\tan ^{-1}\left(\sqrt{e^{2 x}-1}\right)",1,"Could not integrate","F",-1
368,0,0,15,0.0000377,"\int e^{\sin (x)} \sin (2 x) \, dx","IntegrateAlgebraic[E^Sin[x]*Sin[2*x],x]","\int e^{\sin (x)} \sin (2 x) \, dx","2 e^{\sin (x)} \sin (x)-2 e^{\sin (x)}",1,"Could not integrate","F",-1
369,1,49,47,0.0306443,"\int x^2 \sqrt{5-x^2} \, dx","IntegrateAlgebraic[x^2*Sqrt[5 - x^2],x]","\frac{1}{8} \sqrt{5-x^2} \left(2 x^3-5 x\right)+\frac{25}{8} i \log \left(\sqrt{5-x^2}-i x\right)","-\frac{5}{8} \sqrt{5-x^2} x+\frac{1}{4} \sqrt{5-x^2} x^3+\frac{25}{8} \sin ^{-1}\left(\frac{x}{\sqrt{5}}\right)",1,"(Sqrt[5 - x^2]*(-5*x + 2*x^3))/8 + ((25*I)/8)*Log[(-I)*x + Sqrt[5 - x^2]]","C",1
370,1,27,11,0.0061712,"\int x^2 \left(1+x^3\right)^4 \, dx","IntegrateAlgebraic[x^2*(1 + x^3)^4,x]","\frac{1}{15} x^3 \left(x^{12}+5 x^9+10 x^6+10 x^3+5\right)","\frac{1}{15} \left(x^3+1\right)^5",1,"(x^3*(5 + 10*x^3 + 10*x^6 + 5*x^9 + x^12))/15","B",1
371,0,0,17,0.0000331,"\int \cos ^3(x) \sin ^3(x) \, dx","IntegrateAlgebraic[Cos[x]^3*Sin[x]^3,x]","\int \cos ^3(x) \sin ^3(x) \, dx","\frac{\sin ^4(x)}{4}-\frac{\sin ^6(x)}{6}",1,"Could not integrate","F",-1
372,0,0,17,0.0000298,"\int \sec ^4(x) \tan ^2(x) \, dx","IntegrateAlgebraic[Sec[x]^4*Tan[x]^2,x]","\int \sec ^4(x) \tan ^2(x) \, dx","\frac{\tan ^5(x)}{5}+\frac{\tan ^3(x)}{3}",1,"Could not integrate","F",-1
373,1,21,27,0.0061939,"\int x \sqrt{1+2 x} \, dx","IntegrateAlgebraic[x*Sqrt[1 + 2*x],x]","\frac{1}{15} \sqrt{2 x+1} \left(6 x^2+x-1\right)","\frac{1}{10} (2 x+1)^{5/2}-\frac{1}{6} (2 x+1)^{3/2}",1,"(Sqrt[1 + 2*x]*(-1 + x + 6*x^2))/15","A",1
374,0,0,24,0.000029,"\int \sin ^4(x) \, dx","IntegrateAlgebraic[Sin[x]^4,x]","\int \sin ^4(x) \, dx","\frac{3 x}{8}-\frac{1}{4} \sin ^3(x) \cos (x)-\frac{3}{8} \sin (x) \cos (x)",1,"Could not integrate","F",-1
375,0,0,12,0.0000298,"\int \tan ^3(x) \, dx","IntegrateAlgebraic[Tan[x]^3,x]","\int \tan ^3(x) \, dx","\frac{\tan ^2(x)}{2}+\log (\cos (x))",1,"Could not integrate","F",-1
376,1,30,40,0.0115798,"\int x^5 \sqrt{1+x^2} \, dx","IntegrateAlgebraic[x^5*Sqrt[1 + x^2],x]","\frac{1}{105} \sqrt{x^2+1} \left(15 x^6+3 x^4-4 x^2+8\right)","\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,"(Sqrt[1 + x^2]*(8 - 4*x^2 + 3*x^4 + 15*x^6))/105","A",1