1,1,14,14,0.057519,"\text{Not used}","int(1/(a^2 - b^2*x^2),x)","\frac{\mathrm{atanh}\left(\frac{b\,x}{a}\right)}{a\,b}","Not used",1,"atanh((b*x)/a)/(a*b)","B"
2,1,14,14,0.040312,"\text{Not used}","int(1/(a^2 + b^2*x^2),x)","\frac{\mathrm{atan}\left(\frac{b\,x}{a}\right)}{a\,b}","Not used",1,"atan((b*x)/a)/(a*b)","B"
3,1,11,13,0.232876,"\text{Not used}","int(1/cos(2*a*x),x)","\frac{\mathrm{atanh}\left(\sin\left(2\,a\,x\right)\right)}{2\,a}","Not used",1,"atanh(sin(2*a*x))/(2*a)","B"
4,1,7,11,0.069588,"\text{Not used}","int(1/(4*sin(x/3)),x)","\frac{3\,\ln\left(\mathrm{tan}\left(\frac{x}{6}\right)\right)}{4}","Not used",1,"(3*log(tan(x/6)))/4","B"
5,1,24,15,0.207284,"\text{Not used}","int(-1/cos(Pi/4 + 2*x),x)","-\frac{\ln\left(\frac{\sin\left(\frac{\Pi }{4}+2\,x\right)+1}{\cos\left(\frac{\Pi }{4}+2\,x\right)}\right)}{2}","Not used",1,"-log((sin(Pi/4 + 2*x) + 1)/cos(Pi/4 + 2*x))/2","B"
6,1,12,2,0.254668,"\text{Not used}","int(tan(x)/cos(x),x)","-\frac{2}{{\mathrm{tan}\left(\frac{x}{2}\right)}^2-1}","Not used",1,"-2/(tan(x/2)^2 - 1)","B"
7,1,6,4,0.207635,"\text{Not used}","int(cot(x)/sin(x),x)","-\frac{1}{\sin\left(x\right)}","Not used",1,"-1/sin(x)","B"
8,1,4,6,0.180397,"\text{Not used}","int(tan(x)/sin(2*x),x)","\frac{\mathrm{tan}\left(x\right)}{2}","Not used",1,"tan(x)/2","B"
9,1,4,9,0.189063,"\text{Not used}","int(1/(cos(x) + 1),x)","\mathrm{tan}\left(\frac{x}{2}\right)","Not used",1,"tan(x/2)","B"
10,1,6,12,0.002060,"\text{Not used}","int(-1/(cos(x) - 1),x)","-\mathrm{cot}\left(\frac{x}{2}\right)","Not used",1,"-cot(x/2)","B"
11,1,13,12,0.198012,"\text{Not used}","int(sin(x)/(a - b*cos(x)),x)","\frac{\ln\left(b\,\cos\left(x\right)-a\right)}{b}","Not used",1,"log(b*cos(x) - a)/b","B"
12,1,15,15,0.047065,"\text{Not used}","int(cos(x)/(b^2*sin(x)^2 + a^2),x)","\frac{\mathrm{atan}\left(\frac{b\,\sin\left(x\right)}{a}\right)}{a\,b}","Not used",1,"atan((b*sin(x))/a)/(a*b)","B"
13,1,15,15,0.184058,"\text{Not used}","int(-cos(x)/(b^2*sin(x)^2 - a^2),x)","\frac{\mathrm{atanh}\left(\frac{b\,\sin\left(x\right)}{a}\right)}{a\,b}","Not used",1,"atanh((b*sin(x))/a)/(a*b)","B"
14,1,48,17,0.605764,"\text{Not used}","int(sin(2*x)/(b^2*sin(x)^2 + a^2),x)","\frac{\mathrm{atan}\left(\frac{b^2\,{\sin\left(x\right)}^2}{a^2\,{\cos\left(x\right)}^2\,2{}\mathrm{i}+a^2\,{\sin\left(x\right)}^2\,2{}\mathrm{i}+b^2\,{\sin\left(x\right)}^2\,1{}\mathrm{i}}\right)\,2{}\mathrm{i}}{b^2}","Not used",1,"(atan((b^2*sin(x)^2)/(a^2*cos(x)^2*2i + a^2*sin(x)^2*2i + b^2*sin(x)^2*1i))*2i)/b^2","B"
15,1,48,19,0.490984,"\text{Not used}","int(-sin(2*x)/(b^2*sin(x)^2 - a^2),x)","\frac{\mathrm{atan}\left(\frac{b^2\,{\sin\left(x\right)}^2}{a^2\,{\cos\left(x\right)}^2\,2{}\mathrm{i}+a^2\,{\sin\left(x\right)}^2\,2{}\mathrm{i}-b^2\,{\sin\left(x\right)}^2\,1{}\mathrm{i}}\right)\,2{}\mathrm{i}}{b^2}","Not used",1,"(atan((b^2*sin(x)^2)/(a^2*cos(x)^2*2i + a^2*sin(x)^2*2i - b^2*sin(x)^2*1i))*2i)/b^2","B"
16,1,58,18,0.405787,"\text{Not used}","int(sin(2*x)/(b^2*cos(x)^2 + a^2),x)","\frac{2\,\mathrm{atanh}\left(\frac{b^2}{2\,a^2+b^2\,{\cos\left(x\right)}^2+b^2}-\frac{b^2\,{\cos\left(x\right)}^2}{2\,a^2+b^2\,{\cos\left(x\right)}^2+b^2}\right)}{b^2}","Not used",1,"(2*atanh(b^2/(b^2*cos(x)^2 + 2*a^2 + b^2) - (b^2*cos(x)^2)/(b^2*cos(x)^2 + 2*a^2 + b^2)))/b^2","B"
17,1,58,18,0.378699,"\text{Not used}","int(-sin(2*x)/(b^2*cos(x)^2 - a^2),x)","-\frac{2\,\mathrm{atanh}\left(\frac{b^2}{-2\,a^2+b^2\,{\cos\left(x\right)}^2+b^2}-\frac{b^2\,{\cos\left(x\right)}^2}{-2\,a^2+b^2\,{\cos\left(x\right)}^2+b^2}\right)}{b^2}","Not used",1,"-(2*atanh(b^2/(b^2*cos(x)^2 - 2*a^2 + b^2) - (b^2*cos(x)^2)/(b^2*cos(x)^2 - 2*a^2 + b^2)))/b^2","B"
18,1,26,41,0.232017,"\text{Not used}","int(-1/(cos(x)^2 - 4),x)","\frac{\sqrt{3}\,\left(x-\mathrm{atan}\left(\mathrm{tan}\left(x\right)\right)\right)}{6}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,\mathrm{tan}\left(x\right)}{3}\right)}{6}","Not used",1,"(3^(1/2)*(x - atan(tan(x))))/6 + (3^(1/2)*atan((2*3^(1/2)*tan(x))/3))/6","B"
19,1,15,6,0.003818,"\text{Not used}","int(exp(x)/(exp(2*x) - 1),x)","\frac{\ln\left({\mathrm{e}}^x-1\right)}{2}-\frac{\ln\left({\mathrm{e}}^x+1\right)}{2}","Not used",1,"log(exp(x) - 1)/2 - log(exp(x) + 1)/2","B"
20,1,3,3,0.175722,"\text{Not used}","int(1/(x*log(x)),x)","\ln\left(\ln\left(x\right)\right)","Not used",1,"log(log(x))","B"
21,1,3,3,0.335872,"\text{Not used}","int(1/(x*(log(x)^2 + 1)),x)","\mathrm{atan}\left(\ln\left(x\right)\right)","Not used",1,"atan(log(x))","B"
22,1,7,9,0.206130,"\text{Not used}","int(-1/(x*(log(x) - 1)),x)","-\ln\left(\ln\left(x\right)-1\right)","Not used",1,"-log(log(x) - 1)","B"
23,1,9,9,0.209180,"\text{Not used}","int(1/(x*(log(x/a) + 1)),x)","\ln\left(\ln\left(\frac{x}{a}\right)+1\right)","Not used",1,"log(log(x/a) + 1)","B"
24,1,24,25,0.043251,"\text{Not used}","int((x - x^(1/2) + 1)^2/x^2,x)","x+6\,\ln\left(\sqrt{x}\right)+\frac{4\,\sqrt{x}-1}{x}-4\,\sqrt{x}","Not used",1,"x + 6*log(x^(1/2)) + (4*x^(1/2) - 1)/x - 4*x^(1/2)","B"
25,1,22,30,0.033855,"\text{Not used}","int(-((x^(2/3) - 2)*(x + x^(1/2)))/x^(3/2),x)","12\,\ln\left(x^{1/6}\right)+4\,\sqrt{x}-\frac{3\,x^{2/3}}{2}-\frac{6\,x^{7/6}}{7}","Not used",1,"12*log(x^(1/6)) + 4*x^(1/2) - (3*x^(2/3))/2 - (6*x^(7/6))/7","B"
26,1,8,10,0.063351,"\text{Not used}","int((2*x - 1)/(2*x + 3),x)","x-2\,\ln\left(x+\frac{3}{2}\right)","Not used",1,"x - 2*log(x + 3/2)","B"
27,1,47,47,0.131532,"\text{Not used}","int((2*x - 5)/(3*x^2 - 2),x)","\frac{\ln\left(x-\frac{\sqrt{6}}{3}\right)}{3}+\frac{\ln\left(x+\frac{\sqrt{6}}{3}\right)}{3}-\frac{5\,\sqrt{6}\,\ln\left(x-\frac{\sqrt{6}}{3}\right)}{12}+\frac{5\,\sqrt{6}\,\ln\left(x+\frac{\sqrt{6}}{3}\right)}{12}","Not used",1,"log(x - 6^(1/2)/3)/3 + log(x + 6^(1/2)/3)/3 - (5*6^(1/2)*log(x - 6^(1/2)/3))/12 + (5*6^(1/2)*log(x + 6^(1/2)/3))/12","B"
28,1,21,30,0.036861,"\text{Not used}","int((2*x - 5)/(3*x^2 + 2),x)","\frac{\ln\left(x^2+\frac{2}{3}\right)}{3}-\frac{5\,\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,x}{2}\right)}{6}","Not used",1,"log(x^2 + 2/3)/3 - (5*6^(1/2)*atan((6^(1/2)*x)/2))/6","B"
29,1,13,21,0.166754,"\text{Not used}","int(sin(x/4)*sin(x),x)","\frac{2\,\sin\left(\frac{3\,x}{4}\right)}{3}-\frac{2\,\sin\left(\frac{5\,x}{4}\right)}{5}","Not used",1,"(2*sin((3*x)/4))/3 - (2*sin((5*x)/4))/5","B"
30,1,11,15,0.060394,"\text{Not used}","int(cos(3*x)*cos(4*x),x)","\frac{\sin\left(7\,x\right)}{14}+\frac{\sin\left(x\right)}{2}","Not used",1,"sin(7*x)/14 + sin(x)/2","B"
31,1,118,21,1.333862,"\text{Not used}","int(-tan(a - x)*tan(x),x)","-x-\frac{\frac{\sin\left(2\,a\right)\,\ln\left({\sin\left(2\,a+x\right)}^2\,2{}\mathrm{i}+{\sin\left(2\,a\right)}^2\,2{}\mathrm{i}-{\sin\left(x\right)}^2\,2{}\mathrm{i}+\sin\left(4\,a\right)-\sin\left(2\,x\right)+\sin\left(4\,a+2\,x\right)\right)}{2}-\frac{\sin\left(2\,a\right)\,\ln\left(\sin\left(2\,a\right)\,\left(2\,{\sin\left(a\right)}^2-1\right)-{\sin\left(2\,a\right)}^2\,1{}\mathrm{i}+\sin\left(2\,a\right)\,\left(2\,{\sin\left(x\right)}^2-1\right)-\sin\left(2\,a\right)\,\sin\left(2\,x\right)\,1{}\mathrm{i}\right)}{2}}{{\sin\left(a\right)}^2}","Not used",1,"- x - ((sin(2*a)*log(sin(4*a) - sin(2*x) + sin(4*a + 2*x) - sin(x)^2*2i + sin(2*a + x)^2*2i + sin(2*a)^2*2i))/2 - (sin(2*a)*log(sin(2*a)*(2*sin(a)^2 - 1) - sin(2*a)^2*1i + sin(2*a)*(2*sin(x)^2 - 1) - sin(2*a)*sin(2*x)*1i))/2)/sin(a)^2","B"
32,1,10,14,0.028213,"\text{Not used}","int(sin(x)^2,x)","\frac{x}{2}-\frac{\sin\left(2\,x\right)}{4}","Not used",1,"x/2 - sin(2*x)/4","B"
33,1,10,14,0.026342,"\text{Not used}","int(cos(x)^2,x)","\frac{x}{2}+\frac{\sin\left(2\,x\right)}{4}","Not used",1,"x/2 + sin(2*x)/4","B"
34,1,12,8,0.029582,"\text{Not used}","int(cos(x)^3*sin(x),x)","-\frac{{\sin\left(x\right)}^2\,\left({\sin\left(x\right)}^2-2\right)}{4}","Not used",1,"-(sin(x)^2*(sin(x)^2 - 2))/4","B"
35,1,11,11,0.071625,"\text{Not used}","int(cos(x)^3/sin(x)^4,x)","\frac{{\sin\left(x\right)}^2-\frac{1}{3}}{{\sin\left(x\right)}^3}","Not used",1,"(sin(x)^2 - 1/3)/sin(x)^3","B"
36,1,6,7,0.201102,"\text{Not used}","int(1/(cos(x)^2*sin(x)^2),x)","-2\,\mathrm{cot}\left(2\,x\right)","Not used",1,"-2*cot(2*x)","B"
37,1,10,14,0.169843,"\text{Not used}","int(cot((3*x)/4)^2,x)","-x-\frac{4\,\mathrm{cot}\left(\frac{3\,x}{4}\right)}{3}","Not used",1,"- x - (4*cot((3*x)/4))/3","B"
38,1,18,16,0.270129,"\text{Not used}","int((tan(2*x) + 1)^2,x)","\frac{\mathrm{tan}\left(2\,x\right)}{2}+\frac{\ln\left({\mathrm{tan}\left(2\,x\right)}^2+1\right)}{2}","Not used",1,"tan(2*x)/2 + log(tan(2*x)^2 + 1)/2","B"
39,1,12,10,0.266982,"\text{Not used}","int((cot(x) - tan(x))^2,x)","\mathrm{tan}\left(x\right)-4\,x-\frac{1}{\mathrm{tan}\left(x\right)}","Not used",1,"tan(x) - 4*x - 1/tan(x)","B"
40,1,14,14,0.274688,"\text{Not used}","int((tan(x) - 1/cos(x))^2,x)","-x-\frac{4}{\mathrm{tan}\left(\frac{x}{2}\right)+1}","Not used",1,"- x - 4/(tan(x/2) + 1)","B"
41,1,12,11,0.235096,"\text{Not used}","int(sin(x)/(sin(x) + 1),x)","x+\frac{2}{\mathrm{tan}\left(\frac{x}{2}\right)+1}","Not used",1,"x + 2/(tan(x/2) + 1)","B"
42,1,10,16,0.166316,"\text{Not used}","int(-cos(x)/(cos(x) - 1),x)","-x-\mathrm{cot}\left(\frac{x}{2}\right)","Not used",1,"- x - cot(x/2)","B"
43,1,18,25,0.215812,"\text{Not used}","int(exp(-x/2)*(exp(x/2) - 1)^3,x)","3\,x+2\,{\mathrm{e}}^{-\frac{x}{2}}-6\,{\mathrm{e}}^{x/2}+{\mathrm{e}}^x","Not used",1,"3*x + 2*exp(-x/2) - 6*exp(x/2) + exp(x)","B"
44,1,8,21,0.257189,"\text{Not used}","int(1/(x^2 - 6*x + 5),x)","-\frac{\mathrm{atanh}\left(\frac{x}{2}-\frac{3}{2}\right)}{2}","Not used",1,"-atanh(x/2 - 3/2)/2","B"
45,1,10,14,0.062860,"\text{Not used}","int(x^2/(x^6 - 6*x^3 + 13),x)","\frac{\mathrm{atan}\left(\frac{x^3}{2}-\frac{3}{2}\right)}{6}","Not used",1,"atan(x^3/2 - 3/2)/6","B"
46,1,34,51,0.121627,"\text{Not used}","int(-(x + 2)/(4*x - x^2 + 1),x)","\ln\left(x-\sqrt{5}-2\right)\,\left(\frac{2\,\sqrt{5}}{5}+\frac{1}{2}\right)-\ln\left(x+\sqrt{5}-2\right)\,\left(\frac{2\,\sqrt{5}}{5}-\frac{1}{2}\right)","Not used",1,"log(x - 5^(1/2) - 2)*((2*5^(1/2))/5 + 1/2) - log(x + 5^(1/2) - 2)*((2*5^(1/2))/5 - 1/2)","B"
47,1,25,33,0.203105,"\text{Not used}","int(1/((x + 1)^(1/3) + 1),x)","3\,\ln\left({\left(x+1\right)}^{1/3}+1\right)-3\,{\left(x+1\right)}^{1/3}+\frac{3\,{\left(x+1\right)}^{2/3}}{2}","Not used",1,"3*log((x + 1)^(1/3) + 1) - 3*(x + 1)^(1/3) + (3*(x + 1)^(2/3))/2","B"
48,1,19,29,0.204534,"\text{Not used}","int(1/(x^(1/2)*(b + a*x)),x)","\frac{2\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{\sqrt{a}\,\sqrt{b}}","Not used",1,"(2*atan((a^(1/2)*x^(1/2))/b^(1/2)))/(a^(1/2)*b^(1/2))","B"
49,1,20,27,0.041776,"\text{Not used}","int(x^3*(x^2 + 1)^(1/2),x)","\sqrt{x^2+1}\,\left(\frac{x^4}{5}+\frac{x^2}{15}-\frac{2}{15}\right)","Not used",1,"(x^2 + 1)^(1/2)*(x^2/15 + x^4/5 - 2/15)","B"
50,1,18,22,0.093848,"\text{Not used}","int(x/(a^4 - x^4)^(1/2),x)","\frac{\mathrm{atan}\left(\frac{x^2}{\sqrt{a^4-x^4}}\right)}{2}","Not used",1,"atan(x^2/(a^4 - x^4)^(1/2))/2","B"
51,1,24,22,0.257557,"\text{Not used}","int(1/(x*(x^2 - a^2)^(1/2)),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{x^2-a^2}}{\sqrt{a^2}}\right)}{\sqrt{a^2}}","Not used",1,"atan((x^2 - a^2)^(1/2)/(a^2)^(1/2))/(a^2)^(1/2)","B"
52,1,21,23,0.444636,"\text{Not used}","int(1/(x*(a^2 - x^2)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\frac{\sqrt{a^2-x^2}}{a}\right)}{a}","Not used",1,"-atanh((a^2 - x^2)^(1/2)/a)/a","B"
53,1,26,21,0.093798,"\text{Not used}","int(1/(x*(a^2 + x^2)^(1/2)),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{a^2+x^2}}{\sqrt{-a^2}}\right)}{\sqrt{-a^2}}","Not used",1,"atan((a^2 + x^2)^(1/2)/(-a^2)^(1/2))/(-a^2)^(1/2)","B"
54,1,6,12,0.181640,"\text{Not used}","int(1/(x - x^2 + 2)^(1/2),x)","\mathrm{asin}\left(\frac{2\,x}{3}-\frac{1}{3}\right)","Not used",1,"asin((2*x)/3 - 1/3)","B"
55,1,26,19,0.294435,"\text{Not used}","int(1/(3*x^2 - 4*x + 5)^(1/2),x)","\frac{\sqrt{3}\,\ln\left(\sqrt{3}\,\left(x-\frac{2}{3}\right)+\sqrt{3\,x^2-4\,x+5}\right)}{3}","Not used",1,"(3^(1/2)*log(3^(1/2)*(x - 2/3) + (3*x^2 - 4*x + 5)^(1/2)))/3","B"
56,1,6,8,0.156350,"\text{Not used}","int(1/(x - x^2)^(1/2),x)","\mathrm{asin}\left(2\,x-1\right)","Not used",1,"asin(2*x - 1)","B"
57,1,40,27,0.314742,"\text{Not used}","int((2*x + 1)/(x - x^2 + 2)^(1/2),x)","\mathrm{asin}\left(\frac{2\,x}{3}-\frac{1}{3}\right)-2\,\sqrt{-x^2+x+2}-\ln\left(x\,1{}\mathrm{i}+\sqrt{-x^2+x+2}-\frac{1}{2}{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"asin((2*x)/3 - 1/3) - log(x*1i + (x - x^2 + 2)^(1/2) - 1i/2)*1i - 2*(x - x^2 + 2)^(1/2)","B"
58,1,28,32,0.337718,"\text{Not used}","int(1/(x*(x - x^2 + 2)^(1/2)),x)","-\frac{\sqrt{2}\,\ln\left(\frac{x+2\,\sqrt{2}\,\sqrt{-x^2+x+2}+4}{x}\right)}{2}","Not used",1,"-(2^(1/2)*log((x + 2*2^(1/2)*(x - x^2 + 2)^(1/2) + 4)/x))/2","B"
59,1,19,21,0.221135,"\text{Not used}","int(1/((x - 2)*(x - x^2 + 2)^(1/2)),x)","\frac{2\,\sqrt{-x^2+x+2}}{3\,\left(x-2\right)}","Not used",1,"(2*(x - x^2 + 2)^(1/2))/(3*(x - 2))","B"
60,1,22,28,0.277878,"\text{Not used}","int(-(3*sin(x) + 2)/(sin(x)*(cos(x) - 1)),x)","\ln\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)-\frac{3\,\mathrm{tan}\left(\frac{x}{2}\right)+\frac{1}{2}}{{\mathrm{tan}\left(\frac{x}{2}\right)}^2}","Not used",1,"log(tan(x/2)) - (3*tan(x/2) + 1/2)/tan(x/2)^2","B"
61,1,26,37,0.236112,"\text{Not used}","int(1/(3*cos(x)^2 + 2),x)","\frac{\sqrt{10}\,\left(x-\mathrm{atan}\left(\mathrm{tan}\left(x\right)\right)\right)}{10}+\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\mathrm{tan}\left(x\right)}{5}\right)}{10}","Not used",1,"(10^(1/2)*(x - atan(tan(x))))/10 + (10^(1/2)*atan((10^(1/2)*tan(x))/5))/10","B"
62,1,10,14,0.214977,"\text{Not used}","int(-(tan(x) - 1)/sin(2*x),x)","\frac{\ln\left(\mathrm{tan}\left(x\right)\right)}{2}-\frac{\mathrm{tan}\left(x\right)}{2}","Not used",1,"log(tan(x))/2 - tan(x)/2","B"
63,1,3,11,0.352296,"\text{Not used}","int(-(tan(x)^2 + 1)/(tan(x)^2 - 1),x)","\mathrm{atanh}\left(\mathrm{tan}\left(x\right)\right)","Not used",1,"atanh(tan(x))","B"
64,1,14,18,0.314798,"\text{Not used}","int(sin(2*x)*(a^2 - 4*cos(x)^2)^(3/4),x)","\frac{{\left(a^2-4\,{\cos\left(x\right)}^2\right)}^{7/4}}{7}","Not used",1,"(a^2 - 4*cos(x)^2)^(7/4)/7","B"
65,1,14,18,0.303964,"\text{Not used}","int(sin(2*x)/(a^2 - 4*sin(x)^2)^(1/3),x)","-\frac{3\,{\left(a^2-4\,{\sin\left(x\right)}^2\right)}^{2/3}}{8}","Not used",1,"-(3*(a^2 - 4*sin(x)^2)^(2/3))/8","B"
66,1,37,17,0.293351,"\text{Not used}","int(1/(a^(2*x) - 1)^(1/2),x)","-\frac{a^x\,\mathrm{asin}\left(\frac{1}{a^x}\right)\,\sqrt{1-\frac{1}{a^{2\,x}}}}{\ln\left(a\right)\,\sqrt{a^{2\,x}-1}}","Not used",1,"-(a^x*asin(1/a^x)*(1 - 1/a^(2*x))^(1/2))/(log(a)*(a^(2*x) - 1)^(1/2))","B"
67,1,16,20,0.341481,"\text{Not used}","int(exp(x/2)/(exp(x) - 1)^(1/2),x)","\ln\left({\mathrm{e}}^x+\sqrt{{\mathrm{e}}^x}\,\sqrt{{\mathrm{e}}^x-1}-\frac{1}{2}\right)","Not used",1,"log(exp(x) + exp(x)^(1/2)*(exp(x) - 1)^(1/2) - 1/2)","B"
68,1,12,12,0.231904,"\text{Not used}","int(atan(x)^n/(x^2 + 1),x)","\frac{{\mathrm{atan}\left(x\right)}^{n+1}}{n+1}","Not used",1,"atan(x)^(n + 1)/(n + 1)","B"
69,0,-1,42,0.000000,"\text{Not used}","int(asin(x/a)^(3/2)/(a^2 - x^2)^(1/2),x)","\int \frac{{\mathrm{asin}\left(\frac{x}{a}\right)}^{3/2}}{\sqrt{a^2-x^2}} \,d x","Not used",1,"int(asin(x/a)^(3/2)/(a^2 - x^2)^(1/2), x)","F"
70,1,6,8,0.349405,"\text{Not used}","int(1/(acos(x)^3*(1 - x^2)^(1/2)),x)","\frac{1}{2\,{\mathrm{acos}\left(x\right)}^2}","Not used",1,"1/(2*acos(x)^2)","B"
71,1,17,28,0.033633,"\text{Not used}","int(x*log(x)^2,x)","\frac{x^2\,\left(2\,{\ln\left(x\right)}^2-2\,\ln\left(x\right)+1\right)}{4}","Not used",1,"(x^2*(2*log(x)^2 - 2*log(x) + 1))/4","B"
72,1,9,17,0.166163,"\text{Not used}","int(log(x)/x^5,x)","-\frac{\ln\left(x\right)+\frac{1}{4}}{4\,x^4}","Not used",1,"-(log(x) + 1/4)/(4*x^4)","B"
73,1,40,36,0.345306,"\text{Not used}","int(x^2*log((x - 1)/x),x)","\frac{x^3\,\ln\left(\frac{x-1}{x}\right)}{3}-\frac{\ln\left(x\,\left(x-1\right)\right)}{6}-\frac{\ln\left(\frac{x-1}{x}\right)}{6}-\frac{x}{3}-\frac{x^2}{6}","Not used",1,"(x^3*log((x - 1)/x))/3 - log(x*(x - 1))/6 - log((x - 1)/x)/6 - x/3 - x^2/6","B"
74,1,21,19,0.002183,"\text{Not used}","int(cos(x)^5,x)","\frac{\sin\left(x\right)\,{\cos\left(x\right)}^4}{5}+\frac{4\,\sin\left(x\right)\,{\cos\left(x\right)}^2}{15}+\frac{8\,\sin\left(x\right)}{15}","Not used",1,"(8*sin(x))/15 + (4*cos(x)^2*sin(x))/15 + (cos(x)^4*sin(x))/5","B"
75,1,26,34,0.022304,"\text{Not used}","int(cos(x)^4*sin(x)^2,x)","\left(\frac{{\cos\left(x\right)}^3}{6}+\frac{\cos\left(x\right)}{8}\right)\,{\sin\left(x\right)}^3-\frac{\cos\left(x\right)\,\sin\left(x\right)}{16}+\frac{x}{16}","Not used",1,"x/16 - (cos(x)*sin(x))/16 + sin(x)^3*(cos(x)/8 + cos(x)^3/6)","B"
76,1,33,26,0.291404,"\text{Not used}","int(1/sin(x)^5,x)","-\frac{3\,\mathrm{atanh}\left(\cos\left(x\right)\right)}{8}-\frac{\frac{5\,\cos\left(x\right)}{8}-\frac{3\,{\cos\left(x\right)}^3}{8}}{{\cos\left(x\right)}^4-2\,{\cos\left(x\right)}^2+1}","Not used",1,"- (3*atanh(cos(x)))/8 - ((5*cos(x))/8 - (3*cos(x)^3)/8)/(cos(x)^4 - 2*cos(x)^2 + 1)","B"
77,1,11,23,0.023389,"\text{Not used}","int(exp(-x)*sin(x),x)","-\frac{{\mathrm{e}}^{-x}\,\left(\cos\left(x\right)+\sin\left(x\right)\right)}{2}","Not used",1,"-(exp(-x)*(cos(x) + sin(x)))/2","B"
78,1,19,27,0.036329,"\text{Not used}","int(sin(3*x)*exp(2*x),x)","-\frac{{\mathrm{e}}^{2\,x}\,\left(3\,\cos\left(3\,x\right)-2\,\sin\left(3\,x\right)\right)}{13}","Not used",1,"-(exp(2*x)*(3*cos(3*x) - 2*sin(3*x)))/13","B"
79,1,20,31,0.026258,"\text{Not used}","int(a^x*cos(x),x)","\frac{a^x\,\left(\sin\left(x\right)+\ln\left(a\right)\,\cos\left(x\right)\right)}{{\ln\left(a\right)}^2+1}","Not used",1,"(a^x*(sin(x) + log(a)*cos(x)))/(log(a)^2 + 1)","B"
80,1,13,17,0.195431,"\text{Not used}","int(cos(log(x)),x)","\frac{\sqrt{2}\,x\,\sin\left(\frac{\pi }{4}+\ln\left(x\right)\right)}{2}","Not used",1,"(2^(1/2)*x*sin(pi/4 + log(x)))/2","B"
81,1,35,12,0.427707,"\text{Not used}","int(log(cos(x))/cos(x)^2,x)","\mathrm{tan}\left(x\right)-2\,x+\ln\left(\cos\left(x\right)\right)\,\mathrm{tan}\left(x\right)+\ln\left(\cos\left(x\right)\right)\,1{}\mathrm{i}-\ln\left(\cos\left(2\,x\right)+1+\sin\left(2\,x\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"log(cos(x))*1i - 2*x - log(cos(2*x) + sin(2*x)*1i + 1)*1i + tan(x) + log(cos(x))*tan(x)","B"
82,1,13,15,0.023181,"\text{Not used}","int(x*tan(x)^2,x)","\ln\left(\cos\left(x\right)\right)+x\,\mathrm{tan}\left(x\right)-\frac{x^2}{2}","Not used",1,"log(cos(x)) + x*tan(x) - x^2/2","B"
83,1,20,22,0.020797,"\text{Not used}","int(asin(x)/x^2,x)","-\mathrm{atanh}\left(\frac{1}{\sqrt{1-x^2}}\right)-\frac{\mathrm{asin}\left(x\right)}{x}","Not used",1,"- atanh(1/(1 - x^2)^(1/2)) - asin(x)/x","B"
84,1,22,25,0.049290,"\text{Not used}","int(asin(x)^2,x)","2\,\mathrm{asin}\left(x\right)\,\sqrt{1-x^2}+x\,\left({\mathrm{asin}\left(x\right)}^2-2\right)","Not used",1,"2*asin(x)*(1 - x^2)^(1/2) + x*(asin(x)^2 - 2)","B"
85,1,19,23,0.220243,"\text{Not used}","int((x^2*atan(x))/(x^2 + 1),x)","-\frac{{\mathrm{atan}\left(x\right)}^2}{2}+x\,\mathrm{atan}\left(x\right)-\frac{\ln\left(x^2+1\right)}{2}","Not used",1,"x*atan(x) - atan(x)^2/2 - log(x^2 + 1)/2","B"
86,0,-1,38,0.000000,"\text{Not used}","int(acos((x/(x + 1))^(1/2)),x)","\int \mathrm{acos}\left(\sqrt{\frac{x}{x+1}}\right) \,d x","Not used",1,"int(acos((x/(x + 1))^(1/2)), x)","F"
87,1,21,25,0.042513,"\text{Not used}","int((2*x + 3*x^2)^3,x)","\frac{27\,x^7}{7}+9\,x^6+\frac{36\,x^5}{5}+2\,x^4","Not used",1,"2*x^4 + (36*x^5)/5 + 9*x^6 + (27*x^7)/7","B"
88,1,29,39,0.031783,"\text{Not used}","int((x - 1)*(2*x + 3*x^2 - 1)^2,x)","\frac{3\,x^6}{2}+\frac{3\,x^5}{5}-\frac{7\,x^4}{2}-\frac{2\,x^3}{3}+\frac{5\,x^2}{2}-x","Not used",1,"(5*x^2)/2 - x - (2*x^3)/3 - (7*x^4)/2 + (3*x^5)/5 + (3*x^6)/2","B"
89,1,23,23,0.725250,"\text{Not used}","int(x^(k - 1)*(a + b*x^k)^n,x)","\frac{{\left(a+b\,x^k\right)}^{n+1}}{b\,k\,\left(n+1\right)}","Not used",1,"(a + b*x^k)^(n + 1)/(b*k*(n + 1))","B"
90,1,20,30,0.034813,"\text{Not used}","int(x^3/(2*x + 1),x)","\frac{x}{8}-\frac{\ln\left(x+\frac{1}{2}\right)}{16}-\frac{x^2}{8}+\frac{x^3}{6}","Not used",1,"x/8 - log(x + 1/2)/16 - x^2/8 + x^3/6","B"
91,1,32,41,0.041141,"\text{Not used}","int(x^6/(3*x^2 + 2),x)","\frac{4\,x}{27}-\frac{2\,x^3}{27}+\frac{x^5}{15}-\frac{4\,\sqrt{2}\,\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{81}","Not used",1,"(4*x)/27 - (2*x^3)/27 + x^5/15 - (4*2^(1/2)*3^(1/2)*atan((2^(1/2)*3^(1/2)*x)/2))/81","B"
92,1,8,21,0.089337,"\text{Not used}","int(1/(3*x^2 - 7*x + 2),x)","-\frac{2\,\mathrm{atanh}\left(\frac{6\,x}{5}-\frac{7}{5}\right)}{5}","Not used",1,"-(2*atanh((6*x)/5 - 7/5))/5","B"
93,1,30,33,0.043704,"\text{Not used}","int((3*x - 1)/(x^2 - x + 1),x)","\frac{3\,\ln\left(x^2-x+1\right)}{2}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3}-\frac{\sqrt{3}}{3}\right)}{3}","Not used",1,"(3*log(x^2 - x + 1))/2 + (3^(1/2)*atan((2*3^(1/2)*x)/3 - 3^(1/2)/3))/3","B"
94,1,21,25,0.040332,"\text{Not used}","int(x^2/(2*x + x^2 + 5),x)","x-\ln\left(x^2+2\,x+5\right)-\frac{3\,\mathrm{atan}\left(\frac{x}{2}+\frac{1}{2}\right)}{2}","Not used",1,"x - log(2*x + x^2 + 5) - (3*atan(x/2 + 1/2))/2","B"
95,1,40,47,0.197378,"\text{Not used}","int((4*x^2 - 5*x^3 + 6*x^4)/(2*x^2 - x + 1),x)","\frac{\ln\left(2\,x^2-x+1\right)}{4}+\frac{\sqrt{7}\,\mathrm{atan}\left(\frac{4\,\sqrt{7}\,x}{7}-\frac{\sqrt{7}}{7}\right)}{14}-\frac{x^2}{2}+x^3","Not used",1,"log(2*x^2 - x + 1)/4 + (7^(1/2)*atan((4*7^(1/2)*x)/7 - 7^(1/2)/7))/14 - x^2/2 + x^3","B"
96,1,17,25,0.226598,"\text{Not used}","int((x + x^2 - 1)/(x^2 - 6*x + x^3),x)","\frac{\ln\left(x-2\right)}{2}+\frac{\ln\left(x+3\right)}{3}+\frac{\ln\left(x\right)}{6}","Not used",1,"log(x - 2)/2 + log(x + 3)/3 + log(x)/6","B"
97,1,25,33,0.088364,"\text{Not used}","int(-(11*a^2 - 7*a*x + 5*x^2)/(6*a*x^2 - 11*a^2*x + 6*a^3 - x^3),x)","\frac{9\,\ln\left(x-a\right)}{2}-17\,\ln\left(x-2\,a\right)+\frac{35\,\ln\left(x-3\,a\right)}{2}","Not used",1,"(9*log(x - a))/2 - 17*log(x - 2*a) + (35*log(x - 3*a))/2","B"
98,1,29,37,0.060711,"\text{Not used}","int((x^2 - x + 2)/(x^4 - 5*x^2 + 4),x)","\frac{2\,\mathrm{atanh}\left(\frac{64}{3\,\left(24\,x-16\right)}-\frac{5}{3}\right)}{3}+\frac{4\,\mathrm{atanh}\left(\frac{128}{3\,\left(48\,x+32\right)}+\frac{5}{3}\right)}{3}","Not used",1,"(2*atanh(64/(3*(24*x - 16)) - 5/3))/3 + (4*atanh(128/(3*(48*x + 32)) + 5/3))/3","B"
99,1,25,31,0.082682,"\text{Not used}","int((2*x^2 - 5)/(x^4 - 5*x^2 + 6),x)","-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,x}{2}\right)}{2}-\frac{\sqrt{3}\,\mathrm{atanh}\left(\frac{\sqrt{3}\,x}{3}\right)}{3}","Not used",1,"- (2^(1/2)*atanh((2^(1/2)*x)/2))/2 - (3^(1/2)*atanh((3^(1/2)*x)/3))/3","B"
100,1,15,41,0.245915,"\text{Not used}","int(1/((x - 1)*(x - 2)*(x - 3)*(x - 4)),x)","\mathrm{atanh}\left(2\,x-5\right)-\frac{\mathrm{atanh}\left(\frac{2\,x}{3}-\frac{5}{3}\right)}{3}","Not used",1,"atanh(2*x - 5) - atanh((2*x)/3 - 5/3)/3","B"
101,1,22,25,0.168290,"\text{Not used}","int((x^2 + 1)/(x - 1)^3,x)","\ln\left(x-1\right)-\frac{2\,x-1}{x^2-2\,x+1}","Not used",1,"log(x - 1) - (2*x - 1)/(x^2 - 2*x + 1)","B"
102,1,32,36,0.029480,"\text{Not used}","int(x^5/(x + 3)^2,x)","405\,\ln\left(x+3\right)-108\,x+\frac{243}{x+3}+\frac{27\,x^2}{2}-2\,x^3+\frac{x^4}{4}","Not used",1,"405*log(x + 3) - 108*x + 243/(x + 3) + (27*x^2)/2 - 2*x^3 + x^4/4","B"
103,1,30,41,0.064497,"\text{Not used}","int((5*x^3 - 2)/(18*x^2 - 8*x^3 + x^4 - 27),x)","\frac{7\,\ln\left(x+1\right)}{64}+\frac{313\,\ln\left(x-3\right)}{64}-\frac{\frac{407\,x}{16}-\frac{955}{16}}{x^2-6\,x+9}","Not used",1,"(7*log(x + 1))/64 + (313*log(x - 3))/64 - ((407*x)/16 - 955/16)/(x^2 - 6*x + 9)","B"
104,1,29,27,0.191456,"\text{Not used}","int((3*x - 6*x^2 + x^3 - 9)/((x + 3)^2*(x + 4)^2),x)","264\,\ln\left(x+3\right)-263\,\ln\left(x+4\right)+\frac{280\,x+939}{x^2+7\,x+12}","Not used",1,"264*log(x + 3) - 263*log(x + 4) + (280*x + 939)/(7*x + x^2 + 12)","B"
105,1,31,39,0.047032,"\text{Not used}","int((x^2 + x^3 + 2)/(x*(x^2 - 1)^2),x)","2\,\ln\left(x\right)-\frac{5\,\ln\left(x+1\right)}{4}-\frac{3\,\ln\left(x-1\right)}{4}-\frac{\frac{x}{2}+\frac{3}{2}}{x^2-1}","Not used",1,"2*log(x) - (5*log(x + 1))/4 - (3*log(x - 1))/4 - (x/2 + 3/2)/(x^2 - 1)","B"
106,1,40,46,0.182654,"\text{Not used}","int(1/(x^3 - x^4 - x^5 + x^6),x)","2\,\ln\left(x\right)-\frac{\ln\left(x+1\right)}{4}-\frac{7\,\ln\left(x-1\right)}{4}-\frac{-\frac{3\,x^2}{2}+\frac{x}{2}+\frac{1}{2}}{x^2-x^3}","Not used",1,"2*log(x) - log(x + 1)/4 - (7*log(x - 1))/4 - (x/2 - (3*x^2)/2 + 1/2)/(x^2 - x^3)","B"
107,1,29,29,0.048850,"\text{Not used}","int((x^4 + 1)/(x - x^2 + x^3 - 1),x)","x+\ln\left(x-1\right)+\frac{x^2}{2}+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"x + log(x - 1) - log(x - 1i)*(1/2 - 1i/2) - log(x + 1i)*(1/2 + 1i/2) + x^2/2","B"
108,1,27,27,0.049151,"\text{Not used}","int(1/(x*(x^2 + 1)*(x + 1)),x)","\ln\left(x\right)-\frac{\ln\left(x+1\right)}{2}+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"log(x) - log(x - 1i)*(1/4 - 1i/4) - log(x + 1i)*(1/4 + 1i/4) - log(x + 1)/2","B"
109,1,17,24,0.058643,"\text{Not used}","int(x^2/(x^2 + x^4 - 2),x)","\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,x}{2}\right)}{3}-\frac{\mathrm{atanh}\left(x\right)}{3}","Not used",1,"(2^(1/2)*atan((2^(1/2)*x)/2))/3 - atanh(x)/3","B"
110,1,49,41,0.252273,"\text{Not used}","int((6*x + 4*x^2 + x^3)/(4*x + 3*x^2 + 2*x^3 + x^4 + 2),x)","\frac{1}{x+1}-\frac{\ln\left(x+1\right)}{3}-\ln\left(x-\sqrt{2}\,1{}\mathrm{i}\right)\,\left(-\frac{2}{3}+\frac{\sqrt{2}\,2{}\mathrm{i}}{3}\right)+\ln\left(x+\sqrt{2}\,1{}\mathrm{i}\right)\,\left(\frac{2}{3}+\frac{\sqrt{2}\,2{}\mathrm{i}}{3}\right)","Not used",1,"1/(x + 1) - log(x + 1)/3 - log(x - 2^(1/2)*1i)*((2^(1/2)*2i)/3 - 2/3) + log(x + 2^(1/2)*1i)*((2^(1/2)*2i)/3 + 2/3)","B"
111,1,38,46,0.189607,"\text{Not used}","int(x/((2*x + 1)^2*(x^2 + 1)*(x + 1)),x)","\frac{16\,\ln\left(x+\frac{1}{2}\right)}{25}-\frac{\ln\left(x+1\right)}{2}+\frac{1}{5\,\left(x+\frac{1}{2}\right)}+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{7}{100}-\frac{1}{100}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{7}{100}+\frac{1}{100}{}\mathrm{i}\right)","Not used",1,"(16*log(x + 1/2))/25 - log(x + 1)/2 - log(x - 1i)*(7/100 + 1i/100) - log(x + 1i)*(7/100 - 1i/100) + 1/(5*(x + 1/2))","B"
112,1,42,47,0.043391,"\text{Not used}","int((x + 3*x^2 - 2)/((x^2 + 1)*(x - 1)^3),x)","-\frac{3\,\ln\left(x-1\right)}{2}-\frac{\frac{5\,x}{2}-2}{x^2-2\,x+1}+\ln\left(x-\mathrm{i}\right)\,\left(\frac{3}{4}+\frac{1}{2}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(\frac{3}{4}-\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"log(x - 1i)*(3/4 + 1i/2) - (3*log(x - 1))/2 + log(x + 1i)*(3/4 - 1i/2) - ((5*x)/2 - 2)/(x^2 - 2*x + 1)","B"
113,1,47,67,0.094140,"\text{Not used}","int(1/(x^2 + x^4 + 1),x)","\mathrm{atanh}\left(\frac{2\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\mathrm{atanh}\left(\frac{2\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"atanh((2*x)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/6 - 1/2) + atanh((2*x)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/6 + 1/2)","B"
114,1,73,48,0.167162,"\text{Not used}","int(-(2*x^3 + 3)/(9*x - x^5),x)","\ln\left(x-\sqrt{3}\right)\,\left(\frac{\sqrt{3}}{6}+\frac{1}{12}\right)-\ln\left(x+\sqrt{3}\right)\,\left(\frac{\sqrt{3}}{6}-\frac{1}{12}\right)-\frac{\ln\left(x\right)}{3}-\ln\left(x-\sqrt{3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\ln\left(x+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"log(x - 3^(1/2))*(3^(1/2)/6 + 1/12) - log(x + 3^(1/2))*(3^(1/2)/6 - 1/12) - log(x)/3 - log(x - 3^(1/2)*1i)*((3^(1/2)*1i)/6 - 1/12) + log(x + 3^(1/2)*1i)*((3^(1/2)*1i)/6 + 1/12)","B"
115,1,44,58,0.202602,"\text{Not used}","int((8*x + 5*x^3 - 20)/((x - 4)^3*(x^2 - 4*x + 8)),x)","-\frac{45\,\ln\left(x-4\right)}{16}-\frac{\frac{41\,x}{4}-\frac{81}{4}}{x^2-8\,x+16}+\ln\left(x-2-2{}\mathrm{i}\right)\,\left(\frac{45}{32}-\frac{3}{32}{}\mathrm{i}\right)+\ln\left(x-2+2{}\mathrm{i}\right)\,\left(\frac{45}{32}+\frac{3}{32}{}\mathrm{i}\right)","Not used",1,"log(x - (2 + 2i))*(45/32 - 3i/32) - (45*log(x - 4))/16 + log(x - (2 - 2i))*(45/32 + 3i/32) - ((41*x)/4 - 81/4)/(x^2 - 8*x + 16)","B"
116,1,35,51,0.241600,"\text{Not used}","int(1/((x^2 + 1)*(x^2 + 2)*(x^2 + 3)*(x^2 + 4)),x)","\frac{\mathrm{atan}\left(x\right)}{6}-\frac{\mathrm{atan}\left(\frac{x}{2}\right)}{12}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,x}{2}\right)}{4}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,x}{3}\right)}{6}","Not used",1,"atan(x)/6 - atan(x/2)/12 - (2^(1/2)*atan((2^(1/2)*x)/2))/4 + (3^(1/2)*atan((3^(1/2)*x)/3))/6","B"
117,1,33,41,0.055678,"\text{Not used}","int(x/((x^2 + 1)*(x^2 + 2)*(x^2 + 3)*(x^2 + 4)),x)","\frac{\mathrm{atanh}\left(\frac{3072}{5\,\left(1280\,x^2+3072\right)}-\frac{1}{5}\right)}{2}-\frac{\mathrm{atanh}\left(\frac{1024}{405\,\left(\frac{640\,x^2}{243}+\frac{1024}{243}\right)}-\frac{3}{5}\right)}{6}","Not used",1,"atanh(3072/(5*(1280*x^2 + 3072)) - 1/5)/2 - atanh(1024/(405*((640*x^2)/243 + 1024/243)) - 3/5)/6","B"
118,1,64,56,0.439793,"\text{Not used}","int(1/(a^3 + x^3),x)","\frac{\ln\left(a+x\right)}{3\,a^2}+\frac{\ln\left(x+\frac{a\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^2}-\frac{\ln\left(x-\frac{a\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^2}","Not used",1,"log(a + x)/(3*a^2) + (log(x + (a*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(6*a^2) - (log(x - (a*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(6*a^2)","B"
119,1,68,56,0.118254,"\text{Not used}","int(x/(a^3 + x^3),x)","-\frac{\ln\left(a+x\right)}{3\,a}-\frac{\ln\left(x+\frac{a\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a}+\frac{\ln\left(x+\frac{a\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a}","Not used",1,"(log(x + (a*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(6*a) - (log(x + (a*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(6*a) - log(a + x)/(3*a)","B"
120,1,10,12,0.029921,"\text{Not used}","int(x^2/(a^3 + x^3),x)","\frac{\ln\left(a^3+x^3\right)}{3}","Not used",1,"log(a^3 + x^3)/3","B"
121,1,18,22,0.249063,"\text{Not used}","int(1/(x*(a^3 + x^3)),x)","-\frac{\ln\left(a^3+x^3\right)-3\,\ln\left(x\right)}{3\,a^3}","Not used",1,"-(log(a^3 + x^3) - 3*log(x))/(3*a^3)","B"
122,1,88,63,0.248923,"\text{Not used}","int(1/(x^2*(a^3 + x^3)),x)","\frac{\ln\left(a+x\right)}{3\,a^4}-\frac{1}{a^3\,x}+\frac{\ln\left(\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,a^4}{4}+x\,a^3\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^4}-\frac{\ln\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,a^4}{4}+x\,a^3\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^4}","Not used",1,"log(a + x)/(3*a^4) - 1/(a^3*x) + (log(a^3*x + (a^4*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(6*a^4) - (log(a^3*x + (a^4*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(6*a^4)","B"
123,1,86,65,0.251959,"\text{Not used}","int(1/(x^3*(a^3 + x^3)),x)","-\frac{\ln\left(a+x\right)}{3\,a^5}-\frac{1}{2\,a^3\,x^2}-\frac{\ln\left(\frac{3\,a^7\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}+3\,a^6\,x\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^5}+\frac{\ln\left(\frac{3\,a^7\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}-3\,a^6\,x\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^5}","Not used",1,"(log((3*a^7*(3^(1/2)*1i + 1))/2 - 3*a^6*x)*(3^(1/2)*1i + 1))/(6*a^5) - 1/(2*a^3*x^2) - (log((3*a^7*(3^(1/2)*1i - 1))/2 + 3*a^6*x)*(3^(1/2)*1i - 1))/(6*a^5) - log(a + x)/(3*a^5)","B"
124,1,29,33,0.073005,"\text{Not used}","int(1/(x^4*(a^3 + x^3)),x)","\frac{\ln\left(a^3+x^3\right)}{3\,a^6}-\frac{\ln\left(x\right)}{a^6}-\frac{1}{3\,a^3\,x^3}","Not used",1,"log(a^3 + x^3)/(3*a^6) - log(x)/a^6 - 1/(3*a^3*x^3)","B"
125,1,99,73,0.103536,"\text{Not used}","int(1/(x^5*(a^3 + x^3)),x)","-\frac{\frac{1}{4\,a^3}-\frac{x^3}{a^6}}{x^4}-\frac{\ln\left(a+x\right)}{3\,a^7}-\frac{\ln\left(\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,a^7}{4}+x\,a^6\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^7}+\frac{\ln\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,a^7}{4}+x\,a^6\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^7}","Not used",1,"(log(a^6*x + (a^7*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(6*a^7) - log(a + x)/(3*a^7) - (log(a^6*x + (a^7*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(6*a^7) - (1/(4*a^3) - x^3/a^6)/x^4","B"
126,0,-1,46,0.000000,"\text{Not used}","int(1/(x^m*(a^3 + x^3)),x)","\int \frac{1}{x^m\,\left(a^3+x^3\right)} \,d x","Not used",1,"int(1/(x^m*(a^3 + x^3)), x)","F"
127,1,18,27,0.069717,"\text{Not used}","int(1/(a^4 - x^4),x)","\frac{\mathrm{atan}\left(\frac{x}{a}\right)+\mathrm{atanh}\left(\frac{x}{a}\right)}{2\,a^3}","Not used",1,"(atan(x/a) + atanh(x/a))/(2*a^3)","B"
128,1,13,15,0.048056,"\text{Not used}","int(x/(a^4 - x^4),x)","\frac{\mathrm{atanh}\left(\frac{x^2}{a^2}\right)}{2\,a^2}","Not used",1,"atanh(x^2/a^2)/(2*a^2)","B"
129,1,20,24,0.275172,"\text{Not used}","int(1/(x*(a^4 - x^4)),x)","-\frac{\ln\left(x^4-a^4\right)-4\,\ln\left(x\right)}{4\,a^4}","Not used",1,"-(log(x^4 - a^4) - 4*log(x))/(4*a^4)","B"
130,1,31,35,0.223117,"\text{Not used}","int(1/(x^2*(a^4 - x^4)),x)","\frac{\mathrm{atanh}\left(\frac{x}{a}\right)}{2\,a^5}-\frac{\mathrm{atan}\left(\frac{x}{a}\right)}{2\,a^5}-\frac{1}{a^4\,x}","Not used",1,"atanh(x/a)/(2*a^5) - atan(x/a)/(2*a^5) - 1/(a^4*x)","B"
131,1,22,26,0.200368,"\text{Not used}","int(1/(x^3*(a^4 - x^4)),x)","\frac{\mathrm{atanh}\left(\frac{x^2}{a^2}\right)}{2\,a^6}-\frac{1}{2\,a^4\,x^2}","Not used",1,"atanh(x^2/a^2)/(2*a^6) - 1/(2*a^4*x^2)","B"
132,1,31,37,0.080013,"\text{Not used}","int(1/(x^4*(a^4 - x^4)),x)","\frac{\mathrm{atan}\left(\frac{x}{a}\right)}{2\,a^7}+\frac{\mathrm{atanh}\left(\frac{x}{a}\right)}{2\,a^7}-\frac{1}{3\,a^4\,x^3}","Not used",1,"atan(x/a)/(2*a^7) + atanh(x/a)/(2*a^7) - 1/(3*a^4*x^3)","B"
133,0,-1,45,0.000000,"\text{Not used}","int(1/(x^m*(a^4 - x^4)),x)","\int \frac{1}{x^m\,\left(a^4-x^4\right)} \,d x","Not used",1,"int(1/(x^m*(a^4 - x^4)), x)","F"
134,1,13,15,0.185347,"\text{Not used}","int(x/(a^4 + x^4),x)","\frac{\mathrm{atan}\left(\frac{x^2}{a^2}\right)}{2\,a^2}","Not used",1,"atan(x^2/a^2)/(2*a^2)","B"
135,1,33,109,0.099900,"\text{Not used}","int(x^2/(a^4 + x^4),x)","\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,x}{a}\right)-{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,x}{a}\right)}{2\,a}","Not used",1,"((-1)^(1/4)*atan(((-1)^(1/4)*x)/a) - (-1)^(1/4)*atanh(((-1)^(1/4)*x)/a))/(2*a)","B"
136,1,174,201,0.588067,"\text{Not used}","int(1/(a^5 + x^5),x)","\frac{\ln\left(a+x\right)}{5\,a^4}-\frac{\ln\left(x-\frac{a\,\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}{4}\right)\,\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a^4}-\frac{\ln\left(x-\frac{a\,\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}{4}\right)\,\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}{20\,a^4}+\frac{\ln\left(x+\frac{a\,\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)}{4}\right)\,\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)}{20\,a^4}-\frac{\ln\left(x-\frac{a\,\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}{4}\right)\,\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a^4}","Not used",1,"log(a + x)/(5*a^4) - (log(x - (a*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1))/4)*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1))/(20*a^4) - (log(x - (a*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1))/4)*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1))/(20*a^4) + (log(x + (a*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1))/4)*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1))/(20*a^4) - (log(x - (a*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1))/4)*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1))/(20*a^4)","B"
137,1,182,201,0.591071,"\text{Not used}","int(x/(a^5 + x^5),x)","\frac{\ln\left(x-\frac{a\,{\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}^3}{64}\right)\,\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a^3}-\frac{\ln\left(a+x\right)}{5\,a^3}+\frac{\ln\left(x-\frac{a\,{\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}^3}{64}\right)\,\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}{20\,a^3}-\frac{\ln\left(x+\frac{a\,{\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)}^3}{64}\right)\,\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)}{20\,a^3}+\frac{\ln\left(x-\frac{a\,{\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}^3}{64}\right)\,\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a^3}","Not used",1,"(log(x - (a*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1)^3)/64)*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1))/(20*a^3) - log(a + x)/(5*a^3) + (log(x - (a*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1)^3)/64)*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1))/(20*a^3) - (log(x + (a*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1)^3)/64)*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1))/(20*a^3) + (log(x - (a*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1)^3)/64)*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1))/(20*a^3)","B"
138,1,202,201,0.796549,"\text{Not used}","int(x^2/(a^5 + x^5),x)","\frac{\ln\left(a+x\right)}{5\,a^2}+\frac{\ln\left(a^5+\frac{x\,{\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)}^3\,a^4}{64}\right)\,\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)}{20\,a^2}-\frac{\ln\left(a^5-\frac{a^4\,x\,{\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}^3}{64}\right)\,\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a^2}-\frac{\ln\left(a^5-\frac{a^4\,x\,{\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}^3}{64}\right)\,\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a^2}-\frac{\ln\left(a^5-\frac{a^4\,x\,{\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}^3}{64}\right)\,\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}{20\,a^2}","Not used",1,"log(a + x)/(5*a^2) + (log(a^5 + (a^4*x*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1)^3)/64)*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1))/(20*a^2) - (log(a^5 - (a^4*x*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1)^3)/64)*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1))/(20*a^2) - (log(a^5 - (a^4*x*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1)^3)/64)*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1))/(20*a^2) - (log(a^5 - (a^4*x*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1)^3)/64)*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1))/(20*a^2)","B"
139,1,202,201,0.409740,"\text{Not used}","int(x^3/(a^5 + x^5),x)","\frac{\ln\left(5\,a^{10}-\frac{5\,a^9\,x\,\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}{4}\right)\,\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a}-\frac{\ln\left(5\,a^{10}+\frac{5\,x\,\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)\,a^9}{4}\right)\,\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)}{20\,a}-\frac{\ln\left(a+x\right)}{5\,a}+\frac{\ln\left(5\,a^{10}-\frac{5\,a^9\,x\,\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}{4}\right)\,\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a}+\frac{\ln\left(5\,a^{10}-\frac{5\,a^9\,x\,\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}{4}\right)\,\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}{20\,a}","Not used",1,"(log(5*a^10 - (5*a^9*x*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1))/4)*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1))/(20*a) - (log(5*a^10 + (5*a^9*x*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1))/4)*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1))/(20*a) - log(a + x)/(5*a) + (log(5*a^10 - (5*a^9*x*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1))/4)*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1))/(20*a) + (log(5*a^10 - (5*a^9*x*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1))/4)*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1))/(20*a)","B"
140,1,10,12,0.184234,"\text{Not used}","int(x^4/(a^5 + x^5),x)","\frac{\ln\left(a^5+x^5\right)}{5}","Not used",1,"log(a^5 + x^5)/5","B"
141,1,18,22,0.268334,"\text{Not used}","int(1/(x*(a^5 + x^5)),x)","-\frac{\ln\left(a^5+x^5\right)-5\,\ln\left(x\right)}{5\,a^5}","Not used",1,"-(log(a^5 + x^5) - 5*log(x))/(5*a^5)","B"
142,1,210,209,0.394299,"\text{Not used}","int(1/(x^2*(a^5 + x^5)),x)","\frac{\ln\left(a+x\right)}{5\,a^6}-\frac{1}{a^5\,x}+\frac{\ln\left(5\,a^{30}+\frac{5\,x\,\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)\,a^{29}}{4}\right)\,\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)}{20\,a^6}-\frac{\ln\left(5\,a^{30}-\frac{5\,a^{29}\,x\,\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}{4}\right)\,\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a^6}-\frac{\ln\left(5\,a^{30}-\frac{5\,a^{29}\,x\,\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}{4}\right)\,\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a^6}-\frac{\ln\left(5\,a^{30}-\frac{5\,a^{29}\,x\,\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}{4}\right)\,\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}{20\,a^6}","Not used",1,"log(a + x)/(5*a^6) - 1/(a^5*x) + (log(5*a^30 + (5*a^29*x*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1))/4)*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1))/(20*a^6) - (log(5*a^30 - (5*a^29*x*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1))/4)*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1))/(20*a^6) - (log(5*a^30 - (5*a^29*x*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1))/4)*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1))/(20*a^6) - (log(5*a^30 - (5*a^29*x*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1))/4)*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1))/(20*a^6)","B"
143,1,210,211,0.782145,"\text{Not used}","int(1/(x^3*(a^5 + x^5)),x)","\frac{\ln\left(a^{20}-\frac{a^{19}\,x\,{\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}^3}{64}\right)\,\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a^7}-\frac{1}{2\,a^5\,x^2}-\frac{\ln\left(a^{20}+\frac{x\,{\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)}^3\,a^{19}}{64}\right)\,\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)}{20\,a^7}-\frac{\ln\left(a+x\right)}{5\,a^7}+\frac{\ln\left(a^{20}-\frac{a^{19}\,x\,{\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}^3}{64}\right)\,\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a^7}+\frac{\ln\left(a^{20}-\frac{a^{19}\,x\,{\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}^3}{64}\right)\,\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}{20\,a^7}","Not used",1,"(log(a^20 - (a^19*x*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1)^3)/64)*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1))/(20*a^7) - 1/(2*a^5*x^2) - (log(a^20 + (a^19*x*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1)^3)/64)*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1))/(20*a^7) - log(a + x)/(5*a^7) + (log(a^20 - (a^19*x*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1)^3)/64)*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1))/(20*a^7) + (log(a^20 - (a^19*x*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1)^3)/64)*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1))/(20*a^7)","B"
144,1,214,211,0.692117,"\text{Not used}","int(1/(x^4*(a^5 + x^5)),x)","\frac{\ln\left(a+x\right)}{5\,a^8}-\frac{1}{3\,a^5\,x^3}-\frac{\ln\left(a^{15}\,x-\frac{a^{16}\,{\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}^3}{64}\right)\,\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a^8}-\frac{\ln\left(a^{15}\,x-\frac{a^{16}\,{\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}^3}{64}\right)\,\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}{20\,a^8}+\frac{\ln\left(\frac{{\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)}^3\,a^{16}}{64}+x\,a^{15}\right)\,\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)}{20\,a^8}-\frac{\ln\left(a^{15}\,x-\frac{a^{16}\,{\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}^3}{64}\right)\,\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a^8}","Not used",1,"log(a + x)/(5*a^8) - 1/(3*a^5*x^3) - (log(a^15*x - (a^16*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1)^3)/64)*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1))/(20*a^8) - (log(a^15*x - (a^16*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1)^3)/64)*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1))/(20*a^8) + (log(a^15*x + (a^16*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1)^3)/64)*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1))/(20*a^8) - (log(a^15*x - (a^16*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1)^3)/64)*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1))/(20*a^8)","B"
145,0,-1,46,0.000000,"\text{Not used}","int(1/(x^m*(a^5 + x^5)),x)","\int \frac{1}{x^m\,\left(a^5+x^5\right)} \,d x","Not used",1,"int(1/(x^m*(a^5 + x^5)), x)","F"
146,1,9,35,0.033579,"\text{Not used}","int((x^4 + 1)/(x^6 + 1),x)","\frac{\mathrm{atan}\left(x^3\right)}{3}+\mathrm{atan}\left(x\right)","Not used",1,"atan(x^3)/3 + atan(x)","B"
147,1,45,60,0.078789,"\text{Not used}","int(1/(3*x + x^2 + 5)^3,x)","6\,\left(x+\frac{3}{2}\right)\,\left(\frac{1}{121\,\left(x^2+3\,x+5\right)}+\frac{1}{66\,{\left(x^2+3\,x+5\right)}^2}\right)+\frac{12\,\sqrt{11}\,\mathrm{atan}\left(\frac{2\,\sqrt{11}\,\left(x+\frac{3}{2}\right)}{11}\right)}{1331}","Not used",1,"6*(x + 3/2)*(1/(121*(3*x + x^2 + 5)) + 1/(66*(3*x + x^2 + 5)^2)) + (12*11^(1/2)*atan((2*11^(1/2)*(x + 3/2))/11))/1331","B"
148,1,27,43,0.182178,"\text{Not used}","int((x^2 + x^4 + 1)/(x^2 + 1)^4,x)","\frac{7\,\mathrm{atan}\left(x\right)}{16}+\frac{\frac{7\,x^5}{16}+\frac{5\,x^3}{6}+\frac{9\,x}{16}}{{\left(x^2+1\right)}^3}","Not used",1,"(7*atan(x))/16 + ((9*x)/16 + (5*x^3)/6 + (7*x^5)/16)/(x^2 + 1)^3","B"
149,1,159,90,0.287083,"\text{Not used}","int((B + A*x)/(c + 2*b*x + a*x^2)^2,x)","\frac{\mathrm{atan}\left(\frac{2\,\left(a\,c-b^2\right)\,\left(\frac{\left(4\,b^3-4\,a\,b\,c\right)\,\left(A\,b-B\,a\right)}{8\,{\left(a\,c-b^2\right)}^{5/2}}-\frac{a\,x\,\left(A\,b-B\,a\right)}{2\,{\left(a\,c-b^2\right)}^{3/2}}\right)}{A\,b-B\,a}\right)\,\left(A\,b-B\,a\right)}{2\,{\left(a\,c-b^2\right)}^{3/2}}-\frac{\frac{A\,c-B\,b}{2\,\left(a\,c-b^2\right)}+\frac{x\,\left(A\,b-B\,a\right)}{2\,\left(a\,c-b^2\right)}}{a\,x^2+2\,b\,x+c}","Not used",1,"(atan((2*(a*c - b^2)*(((4*b^3 - 4*a*b*c)*(A*b - B*a))/(8*(a*c - b^2)^(5/2)) - (a*x*(A*b - B*a))/(2*(a*c - b^2)^(3/2))))/(A*b - B*a))*(A*b - B*a))/(2*(a*c - b^2)^(3/2)) - ((A*c - B*b)/(2*(a*c - b^2)) + (x*(A*b - B*a))/(2*(a*c - b^2)))/(c + 2*b*x + a*x^2)","B"
150,1,41,38,0.201567,"\text{Not used}","int((55*x - 27*x^2 + 5*x^3 - 41)/(x^2 - 4*x + 5)^2,x)","2\,\mathrm{atan}\left(x-2\right)+\frac{5\,\ln\left(x^2-4\,x+5\right)}{2}-\frac{x}{x^2-4\,x+5}+\frac{1}{x^2-4\,x+5}","Not used",1,"2*atan(x - 2) + (5*log(x^2 - 4*x + 5))/2 - x/(x^2 - 4*x + 5) + 1/(x^2 - 4*x + 5)","B"
151,1,60,57,0.082029,"\text{Not used}","int(1/(x^3 - 1)^2,x)","-\frac{2\,\ln\left(x-1\right)}{9}-\frac{x}{3\,\left(x^3-1\right)}-\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)+\ln\left(2\,x+1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)","Not used",1,"log(2*x + 3^(1/2)*1i + 1)*((3^(1/2)*1i)/9 + 1/9) - x/(3*(x^3 - 1)) - log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/9 - 1/9) - (2*log(x - 1))/9","B"
152,1,29,36,0.180471,"\text{Not used}","int((3*x^4 + 4)/(x^2*(x^2 + 1)^3),x)","-\frac{57\,\mathrm{atan}\left(x\right)}{8}-\frac{\frac{57\,x^4}{8}+\frac{103\,x^2}{8}+4}{x\,{\left(x^2+1\right)}^2}","Not used",1,"- (57*atan(x))/8 - ((103*x^2)/8 + (57*x^4)/8 + 4)/(x*(x^2 + 1)^2)","B"
153,1,52,49,0.086031,"\text{Not used}","int(x/(x^6 + 1),x)","\frac{\ln\left(x^2+1\right)}{6}-\ln\left(x^2-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}-\frac{1}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(x^2+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}-\frac{1}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"log(x^2 + 1)/6 - log(x^2 - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) + log((3^(1/2)*1i)/2 + x^2 - 1/2)*((3^(1/2)*1i)/12 - 1/12)","B"
154,1,14,13,0.321863,"\text{Not used}","int(-(x^(n - 1) - 1)/(n*x - x^n),x)","\frac{\ln\left(n\,x-x^n\right)}{n}","Not used",1,"log(n*x - x^n)/n","B"
155,1,34,41,0.201887,"\text{Not used}","int(x^3/(3*x^4 - 2*x^2 + 1),x)","\frac{\ln\left(x^4-\frac{2\,x^2}{3}+\frac{1}{3}\right)}{12}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}}{2}-\frac{3\,\sqrt{2}\,x^2}{2}\right)}{12}","Not used",1,"log(x^4 - (2*x^2)/3 + 1/3)/12 - (2^(1/2)*atan(2^(1/2)/2 - (3*2^(1/2)*x^2)/2))/12","B"
156,1,22,32,0.085810,"\text{Not used}","int(x^5/(x^2 + 3*x^4 - 4),x)","\frac{\ln\left(x^2-1\right)}{14}-\frac{8\,\ln\left(x^2+\frac{4}{3}\right)}{63}+\frac{x^2}{6}","Not used",1,"log(x^2 - 1)/14 - (8*log(x^2 + 4/3))/63 + x^2/6","B"
157,1,16,25,0.584164,"\text{Not used}","int(x^2/(x^6 - 10*x^3 + 9),x)","\frac{\mathrm{atanh}\left(\frac{81}{320\,\left(\frac{5\,x^3}{4}-\frac{9}{8}\right)}-\frac{41}{40}\right)}{12}","Not used",1,"atanh(81/(320*((5*x^3)/4 - 9/8)) - 41/40)/12","B"
158,1,22,36,0.039073,"\text{Not used}","int((x^3 - 4*x^2 + 1)/(x - 2)^4,x)","\ln\left(x-2\right)-\frac{2\,x^2-10\,x+\frac{29}{3}}{{\left(x-2\right)}^3}","Not used",1,"log(x - 2) - (2*x^2 - 10*x + 29/3)/(x - 2)^3","B"
159,1,29,45,0.098524,"\text{Not used}","int(x^3/(x - 1)^12,x)","-\frac{1}{8\,{\left(x-1\right)}^8}-\frac{1}{3\,{\left(x-1\right)}^9}-\frac{3}{10\,{\left(x-1\right)}^{10}}-\frac{1}{11\,{\left(x-1\right)}^{11}}","Not used",1,"- 1/(8*(x - 1)^8) - 1/(3*(x - 1)^9) - 3/(10*(x - 1)^10) - 1/(11*(x - 1)^11)","B"
160,1,43,55,0.047577,"\text{Not used}","int(-(3*x - x^4)/(2*x + 1)^5,x)","\frac{\ln\left(x+\frac{1}{2}\right)}{32}+\frac{\frac{x^3}{16}+\frac{9\,x^2}{128}+\frac{23\,x}{384}+\frac{49}{6144}}{x^4+2\,x^3+\frac{3\,x^2}{2}+\frac{x}{2}+\frac{1}{16}}","Not used",1,"log(x + 1/2)/32 + ((23*x)/384 + (9*x^2)/128 + x^3/16 + 49/6144)/(x/2 + (3*x^2)/2 + 2*x^3 + x^4 + 1/16)","B"
161,1,31,36,0.038969,"\text{Not used}","int(1/((x - 1)^2*(x + 1)^3),x)","\frac{3\,\mathrm{atanh}\left(x\right)}{8}+\frac{\frac{3\,x^2}{8}+\frac{3\,x}{8}-\frac{1}{4}}{-x^3-x^2+x+1}","Not used",1,"(3*atanh(x))/8 + ((3*x)/8 + (3*x^2)/8 - 1/4)/(x - x^2 - x^3 + 1)","B"
162,1,34,35,0.219860,"\text{Not used}","int(1/(x^2*(6*x - 5)^2),x)","\frac{1}{5\,x\,\left(6\,x-5\right)}-\frac{12}{25\,\left(6\,x-5\right)}-\frac{12\,\ln\left(\frac{6\,x-5}{x}\right)}{125}","Not used",1,"1/(5*x*(6*x - 5)) - 12/(25*(6*x - 5)) - (12*log((6*x - 5)/x))/125","B"
163,1,45,61,0.122533,"\text{Not used}","int(-1/(2*x - x^2 + 3)^3,x)","-\frac{3\,\ln\left(\frac{x+1}{x-3}\right)}{512}-6\,\left(\frac{1}{256\,\left(-x^2+2\,x+3\right)}+\frac{1}{96\,{\left(-x^2+2\,x+3\right)}^2}\right)\,\left(x-1\right)","Not used",1,"- (3*log((x + 1)/(x - 3)))/512 - 6*(1/(256*(2*x - x^2 + 3)) + 1/(96*(2*x - x^2 + 3)^2))*(x - 1)","B"
164,1,39,51,0.202542,"\text{Not used}","int(1/(x^2 - 4*x + 13)^3,x)","\frac{\mathrm{atan}\left(\frac{x}{3}-\frac{2}{3}\right)}{648}+6\,\left(x-2\right)\,\left(\frac{1}{1296\,\left(x^2-4\,x+13\right)}+\frac{1}{216\,{\left(x^2-4\,x+13\right)}^2}\right)","Not used",1,"atan(x/3 - 2/3)/648 + 6*(x - 2)*(1/(1296*(x^2 - 4*x + 13)) + 1/(216*(x^2 - 4*x + 13)^2))","B"
165,1,55,54,0.051431,"\text{Not used}","int(1/((x + 2)^3*(x + 3)^4),x)","\frac{10\,x^4+105\,x^3+\frac{1225\,x^2}{3}+\frac{4175\,x}{6}+\frac{2627}{6}}{x^5+13\,x^4+67\,x^3+171\,x^2+216\,x+108}-20\,\mathrm{atanh}\left(2\,x+5\right)","Not used",1,"((4175*x)/6 + (1225*x^2)/3 + 105*x^3 + 10*x^4 + 2627/6)/(216*x + 171*x^2 + 67*x^3 + 13*x^4 + x^5 + 108) - 20*atanh(2*x + 5)","B"
166,1,33,36,0.251773,"\text{Not used}","int(x^6/(x^2 - 2)^2,x)","4\,x-\frac{2\,x}{x^2-2}+\frac{x^3}{3}+\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,x\,1{}\mathrm{i}}{2}\right)\,5{}\mathrm{i}","Not used",1,"4*x + 2^(1/2)*atan((2^(1/2)*x*1i)/2)*5i - (2*x)/(x^2 - 2) + x^3/3","B"
167,1,40,58,0.074051,"\text{Not used}","int(x^8/(x^2 + 4)^4,x)","x-\frac{35\,\mathrm{atan}\left(\frac{x}{2}\right)}{8}+\frac{\frac{29\,x^5}{4}+\frac{136\,x^3}{3}+76\,x}{x^6+12\,x^4+48\,x^2+64}","Not used",1,"x - (35*atan(x/2))/8 + (76*x + (136*x^3)/3 + (29*x^5)/4)/(48*x^2 + 12*x^4 + x^6 + 64)","B"
168,1,36,43,0.190736,"\text{Not used}","int((7*x - 4)/(2*x + 3*x^2 + 5)^2,x)","-\frac{\frac{19\,x}{84}+\frac{13}{28}}{x^2+\frac{2\,x}{3}+\frac{5}{3}}-\frac{19\,\sqrt{14}\,\mathrm{atan}\left(\frac{3\,\sqrt{14}\,x}{14}+\frac{\sqrt{14}}{14}\right)}{392}","Not used",1,"- ((19*x)/84 + 13/28)/((2*x)/3 + x^2 + 5/3) - (19*14^(1/2)*atan((3*14^(1/2)*x)/14 + 14^(1/2)/14))/392","B"
169,1,34,43,0.214772,"\text{Not used}","int(-(4*x - 5)/(4*x - 3*x^2 + 2)^2,x)","\frac{7\,\sqrt{10}\,\mathrm{atanh}\left(\sqrt{10}\,\left(\frac{3\,x}{10}-\frac{1}{5}\right)\right)}{200}+\frac{\frac{7\,x}{60}-\frac{3}{10}}{-x^2+\frac{4\,x}{3}+\frac{2}{3}}","Not used",1,"(7*10^(1/2)*atanh(10^(1/2)*((3*x)/10 - 1/5)))/200 + ((7*x)/60 - 3/10)/((4*x)/3 - x^2 + 2/3)","B"
170,1,32,37,0.037486,"\text{Not used}","int(x^5/(x^4 + 1)^3,x)","\frac{\mathrm{atan}\left(x^2\right)}{16}-\frac{\frac{x^2}{16}-\frac{x^6}{16}}{x^8+2\,x^4+1}","Not used",1,"atan(x^2)/16 - (x^2/16 - x^6/16)/(2*x^4 + x^8 + 1)","B"
171,1,28,32,0.189290,"\text{Not used}","int((x*(x^2 + 1)^3)/(2*x^2 + x^4 + 2)^2,x)","\frac{\ln\left(x^4+2\,x^2+2\right)}{4}+\frac{1}{4\,\left(x^4+2\,x^2+2\right)}","Not used",1,"log(2*x^2 + x^4 + 2)/4 + 1/(4*(2*x^2 + x^4 + 2))","B"
172,1,11,13,0.198786,"\text{Not used}","int(x^3/(a^4 + x^4)^3,x)","-\frac{1}{8\,{\left(a^4+x^4\right)}^2}","Not used",1,"-1/(8*(a^4 + x^4)^2)","B"
173,1,52,54,0.105727,"\text{Not used}","int(1/(x*(a^4 + x^4)^3),x)","\frac{\ln\left(x\right)}{a^{12}}+\frac{\frac{3}{8\,a^4}+\frac{x^4}{4\,a^8}}{a^8+2\,a^4\,x^4+x^8}-\frac{\ln\left(a^4+x^4\right)}{4\,a^{12}}","Not used",1,"log(x)/a^12 + (3/(8*a^4) + x^4/(4*a^8))/(a^8 + x^8 + 2*a^4*x^4) - log(a^4 + x^4)/(4*a^12)","B"
174,1,76,157,0.114204,"\text{Not used}","int(1/(x^2*(a^4 + x^4)^3),x)","\frac{45\,{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,x}{a}\right)}{64\,a^{13}}-\frac{45\,{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,x}{a}\right)}{64\,a^{13}}-\frac{\frac{1}{a^4}+\frac{81\,x^4}{32\,a^8}+\frac{45\,x^8}{32\,a^{12}}}{a^8\,x+2\,a^4\,x^5+x^9}","Not used",1,"(45*(-1)^(1/4)*atanh(((-1)^(1/4)*x)/a))/(64*a^13) - (45*(-1)^(1/4)*atan(((-1)^(1/4)*x)/a))/(64*a^13) - (1/a^4 + (81*x^4)/(32*a^8) + (45*x^8)/(32*a^12))/(a^8*x + x^9 + 2*a^4*x^5)","B"
175,1,53,64,0.221734,"\text{Not used}","int(1/(x^3*(a^4 + x^4)^3),x)","-\frac{15\,\mathrm{atan}\left(\frac{x^2}{a^2}\right)}{16\,a^{14}}-\frac{\frac{a^{10}}{2}+\frac{25\,a^6\,x^4}{16}+\frac{15\,a^2\,x^8}{16}}{a^{14}\,x^2\,{\left(a^4+x^4\right)}^2}","Not used",1,"- (15*atan(x^2/a^2))/(16*a^14) - (a^10/2 + (15*a^2*x^8)/16 + (25*a^6*x^4)/16)/(a^14*x^2*(a^4 + x^4)^2)","B"
176,1,29,39,0.049980,"\text{Not used}","int(x^14/(2*x^5 + 3)^3,x)","\frac{\ln\left(x^5+\frac{3}{2}\right)}{40}+\frac{\frac{3\,x^5}{40}+\frac{27}{320}}{x^{10}+3\,x^5+\frac{9}{4}}","Not used",1,"log(x^5 + 3/2)/40 + ((3*x^5)/40 + 27/320)/(3*x^5 + x^10 + 9/4)","B"
177,1,285,319,1.603717,"\text{Not used}","int(x^6/(2*x^5 + 3)^3,x)","\frac{3^{2/5}\,\ln\left(x-\frac{3^{1/5}\,{\left(2\,2^{1/10}\,\sqrt{-\sqrt{5}-5}-2^{3/5}\,\left(\sqrt{5}-1\right)\right)}^3}{256}\right)\,\left(2\,2^{1/10}\,\sqrt{-\sqrt{5}-5}-2^{3/5}\,\left(\sqrt{5}-1\right)\right)}{6000}-\frac{\frac{3\,x^2}{400}-\frac{x^7}{300}}{x^{10}+3\,x^5+\frac{9}{4}}-\frac{3^{2/5}\,\ln\left(x+\frac{3^{1/5}\,{\left(2\,2^{1/10}\,\sqrt{-\sqrt{5}-5}+2^{3/5}\,\left(\sqrt{5}-1\right)\right)}^3}{256}\right)\,\left(2\,2^{1/10}\,\sqrt{-\sqrt{5}-5}+2^{3/5}\,\left(\sqrt{5}-1\right)\right)}{6000}-\frac{{72}^{1/5}\,\ln\left(x+\frac{{72}^{3/5}}{12}\right)}{1500}+\frac{3^{2/5}\,\ln\left(x-\frac{3^{1/5}\,{\left(2^{3/5}\,\left(\sqrt{5}+1\right)-2\,2^{1/10}\,\sqrt{\sqrt{5}-5}\right)}^3}{256}\right)\,\left(2^{3/5}\,\left(\sqrt{5}+1\right)-2\,2^{1/10}\,\sqrt{\sqrt{5}-5}\right)}{6000}+\frac{3^{2/5}\,\ln\left(x-\frac{3^{1/5}\,{\left(2^{3/5}\,\left(\sqrt{5}+1\right)+2\,2^{1/10}\,\sqrt{\sqrt{5}-5}\right)}^3}{256}\right)\,\left(2^{3/5}\,\left(\sqrt{5}+1\right)+2\,2^{1/10}\,\sqrt{\sqrt{5}-5}\right)}{6000}","Not used",1,"(3^(2/5)*log(x - (3^(1/5)*(2*2^(1/10)*(- 5^(1/2) - 5)^(1/2) - 2^(3/5)*(5^(1/2) - 1))^3)/256)*(2*2^(1/10)*(- 5^(1/2) - 5)^(1/2) - 2^(3/5)*(5^(1/2) - 1)))/6000 - ((3*x^2)/400 - x^7/300)/(3*x^5 + x^10 + 9/4) - (3^(2/5)*log(x + (3^(1/5)*(2*2^(1/10)*(- 5^(1/2) - 5)^(1/2) + 2^(3/5)*(5^(1/2) - 1))^3)/256)*(2*2^(1/10)*(- 5^(1/2) - 5)^(1/2) + 2^(3/5)*(5^(1/2) - 1)))/6000 - (72^(1/5)*log(x + 72^(3/5)/12))/1500 + (3^(2/5)*log(x - (3^(1/5)*(2^(3/5)*(5^(1/2) + 1) - 2*2^(1/10)*(5^(1/2) - 5)^(1/2))^3)/256)*(2^(3/5)*(5^(1/2) + 1) - 2*2^(1/10)*(5^(1/2) - 5)^(1/2)))/6000 + (3^(2/5)*log(x - (3^(1/5)*(2^(3/5)*(5^(1/2) + 1) + 2*2^(1/10)*(5^(1/2) - 5)^(1/2))^3)/256)*(2^(3/5)*(5^(1/2) + 1) + 2*2^(1/10)*(5^(1/2) - 5)^(1/2)))/6000","B"
178,1,41,59,0.243434,"\text{Not used}","int(-9/(5*x^2*(2*x^2 - 3)^3),x)","\frac{\sqrt{6}\,\mathrm{atanh}\left(\frac{\sqrt{6}\,x}{3}\right)}{24}-\frac{\frac{x^4}{8}-\frac{5\,x^2}{16}+\frac{3}{20}}{x^5-3\,x^3+\frac{9\,x}{4}}","Not used",1,"(6^(1/2)*atanh((6^(1/2)*x)/3))/24 - (x^4/8 - (5*x^2)/16 + 3/20)/((9*x)/4 - 3*x^3 + x^5)","B"
179,1,29,36,0.002178,"\text{Not used}","int((3*x^4 + 4)/(x^2*(x^2 + 1)^3),x)","-\frac{57\,\mathrm{atan}\left(x\right)}{8}-\frac{\frac{57\,x^4}{8}+\frac{103\,x^2}{8}+4}{x\,{\left(x^2+1\right)}^2}","Not used",1,"- (57*atan(x))/8 - ((103*x^2)/8 + (57*x^4)/8 + 4)/(x*(x^2 + 1)^2)","B"
180,1,33,38,0.065284,"\text{Not used}","int((6*x^2 - 3*x + 5*x^3 - x^4 + 5)/(x + 2*x^2 - 2*x^3 - x^4 + x^5 - 1),x)","\ln\left(x-1\right)-2\,\ln\left(x+1\right)+\frac{x^2+\frac{7\,x}{2}-\frac{3}{2}}{-x^3+x^2+x-1}","Not used",1,"log(x - 1) - 2*log(x + 1) + ((7*x)/2 + x^2 - 3/2)/(x + x^2 - x^3 - 1)","B"
181,1,63,64,0.104935,"\text{Not used}","int((x^2 + 1)/(x*(x^3 + 1)^2),x)","\ln\left(x\right)-\frac{4\,\ln\left(x+1\right)}{9}-\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{5}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)+\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{5}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)+\frac{\frac{x^2}{3}+\frac{1}{3}}{x^3+1}","Not used",1,"log(x) - (4*log(x + 1))/9 - log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/18 + 5/18) + log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/18 - 5/18) + (x^2/3 + 1/3)/(x^3 + 1)","B"
182,1,73,63,0.254020,"\text{Not used}","int(-(3*x - x^2 + 2)/((x + 1)^2*(x + x^2 + 1)^2),x)","-\ln\left(x+1\right)-\frac{\frac{11\,x^2}{3}+6\,x+\frac{13}{3}}{x^3+2\,x^2+2\,x+1}+\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,25{}\mathrm{i}}{18}\right)-\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,25{}\mathrm{i}}{18}\right)","Not used",1,"log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*25i)/18 + 1/2) - (6*x + (11*x^2)/3 + 13/3)/(2*x + 2*x^2 + x^3 + 1) - log(x + 1) - log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*25i)/18 - 1/2)","B"
183,1,25,43,0.053722,"\text{Not used}","int(1/((3*x - 2)*(4*x - 1)^3),x)","\frac{\frac{3\,x}{100}-\frac{1}{800}}{x^2-\frac{x}{2}+\frac{1}{16}}-\frac{18\,\mathrm{atanh}\left(\frac{24\,x}{5}-\frac{11}{5}\right)}{125}","Not used",1,"((3*x)/100 - 1/800)/(x^2 - x/2 + 1/16) - (18*atanh((24*x)/5 - 11/5))/125","B"
184,1,18,27,0.112343,"\text{Not used}","int(-x^3/(5*x^2 - 2)^7,x)","\frac{15\,x^2-1}{750\,{\left(5\,x^2-2\right)}^6}","Not used",1,"(15*x^2 - 1)/(750*(5*x^2 - 2)^6)","B"
185,1,34,46,0.187095,"\text{Not used}","int(-x^7/(5*x^2 - 2)^3,x)","\frac{\frac{6\,x^2}{3125}-\frac{2}{3125}}{x^4-\frac{4\,x^2}{5}+\frac{4}{25}}-\frac{3\,\ln\left(x^2-\frac{2}{5}\right)}{625}-\frac{x^2}{250}","Not used",1,"((6*x^2)/3125 - 2/3125)/(x^4 - (4*x^2)/5 + 4/25) - (3*log(x^2 - 2/5))/625 - x^2/250","B"
186,1,33,44,0.048213,"\text{Not used}","int(1/((x + 1)^2*(x - 2)^3),x)","-\frac{2\,\mathrm{atanh}\left(\frac{2\,x}{3}-\frac{1}{3}\right)}{27}-\frac{-\frac{x^2}{9}+\frac{5\,x}{18}+\frac{1}{18}}{x^3-3\,x^2+4}","Not used",1,"- (2*atanh((2*x)/3 - 1/3))/27 - ((5*x)/18 - x^2/9 + 1/18)/(x^3 - 3*x^2 + 4)","B"
187,1,55,54,0.002152,"\text{Not used}","int(1/((x + 2)^3*(x + 3)^4),x)","\frac{10\,x^4+105\,x^3+\frac{1225\,x^2}{3}+\frac{4175\,x}{6}+\frac{2627}{6}}{x^5+13\,x^4+67\,x^3+171\,x^2+216\,x+108}-20\,\mathrm{atanh}\left(2\,x+5\right)","Not used",1,"((4175*x)/6 + (1225*x^2)/3 + 105*x^3 + 10*x^4 + 2627/6)/(216*x + 171*x^2 + 67*x^3 + 13*x^4 + x^5 + 108) - 20*atanh(2*x + 5)","B"
188,1,32,36,0.002338,"\text{Not used}","int(x^5/(x + 3)^2,x)","405\,\ln\left(x+3\right)-108\,x+\frac{243}{x+3}+\frac{27\,x^2}{2}-2\,x^3+\frac{x^4}{4}","Not used",1,"405*log(x + 3) - 108*x + 243/(x + 3) + (27*x^2)/2 - 2*x^3 + x^4/4","B"
189,1,37,44,0.048698,"\text{Not used}","int((b1 + c1*x)*(a + 2*b*x + c*x^2),x)","\frac{c\,c_{1}\,x^4}{4}+\left(\frac{2\,b\,c_{1}}{3}+\frac{b_{1}\,c}{3}\right)\,x^3+\left(\frac{a\,c_{1}}{2}+b\,b_{1}\right)\,x^2+a\,b_{1}\,x","Not used",1,"x^2*((a*c1)/2 + b*b1) + x^3*((2*b*c1)/3 + (b1*c)/3) + a*b1*x + (c*c1*x^4)/4","B"
190,1,88,96,0.189645,"\text{Not used}","int((b1 + c1*x)*(a + 2*b*x + c*x^2)^2,x)","x^3\,\left(\frac{4\,b_{1}\,b^2}{3}+\frac{4\,a\,c_{1}\,b}{3}+\frac{2\,a\,b_{1}\,c}{3}\right)+x^4\,\left(c_{1}\,b^2+b_{1}\,c\,b+\frac{a\,c\,c_{1}}{2}\right)+x^2\,\left(\frac{c_{1}\,a^2}{2}+2\,b\,b_{1}\,a\right)+x^5\,\left(\frac{b_{1}\,c^2}{5}+\frac{4\,b\,c_{1}\,c}{5}\right)+\frac{c^2\,c_{1}\,x^6}{6}+a^2\,b_{1}\,x","Not used",1,"x^3*((4*b^2*b1)/3 + (4*a*b*c1)/3 + (2*a*b1*c)/3) + x^4*(b^2*c1 + (a*c*c1)/2 + b*b1*c) + x^2*((a^2*c1)/2 + 2*a*b*b1) + x^5*((b1*c^2)/5 + (4*b*c*c1)/5) + (c^2*c1*x^6)/6 + a^2*b1*x","B"
191,1,164,167,0.215982,"\text{Not used}","int((b1 + c1*x)*(a + 2*b*x + c*x^2)^3,x)","x^7\,\left(\frac{b_{1}\,c^3}{7}+\frac{6\,b\,c_{1}\,c^2}{7}\right)+x^3\,\left(2\,c_{1}\,a^2\,b+b_{1}\,c\,a^2+4\,b_{1}\,a\,b^2\right)+x^6\,\left(2\,c_{1}\,b^2\,c+b_{1}\,b\,c^2+\frac{a\,c_{1}\,c^2}{2}\right)+x^4\,\left(\frac{3\,c\,c_{1}\,a^2}{4}+3\,c_{1}\,a\,b^2+3\,b_{1}\,c\,a\,b+2\,b_{1}\,b^3\right)+x^5\,\left(\frac{8\,c_{1}\,b^3}{5}+\frac{12\,b_{1}\,b^2\,c}{5}+\frac{12\,a\,c_{1}\,b\,c}{5}+\frac{3\,a\,b_{1}\,c^2}{5}\right)+x^2\,\left(\frac{c_{1}\,a^3}{2}+3\,b\,b_{1}\,a^2\right)+\frac{c^3\,c_{1}\,x^8}{8}+a^3\,b_{1}\,x","Not used",1,"x^7*((b1*c^3)/7 + (6*b*c^2*c1)/7) + x^3*(4*a*b^2*b1 + 2*a^2*b*c1 + a^2*b1*c) + x^6*((a*c^2*c1)/2 + b*b1*c^2 + 2*b^2*c*c1) + x^4*(2*b^3*b1 + 3*a*b^2*c1 + (3*a^2*c*c1)/4 + 3*a*b*b1*c) + x^5*((8*b^3*c1)/5 + (3*a*b1*c^2)/5 + (12*b^2*b1*c)/5 + (12*a*b*c*c1)/5) + x^2*((a^3*c1)/2 + 3*a^2*b*b1) + (c^3*c1*x^8)/8 + a^3*b1*x","B"
192,1,263,263,0.258384,"\text{Not used}","int((b1 + c1*x)*(a + 2*b*x + c*x^2)^4,x)","x^9\,\left(\frac{b_{1}\,c^4}{9}+\frac{8\,b\,c_{1}\,c^3}{9}\right)+x^3\,\left(\frac{8\,c_{1}\,a^3\,b}{3}+\frac{4\,b_{1}\,c\,a^3}{3}+8\,b_{1}\,a^2\,b^2\right)+x^8\,\left(3\,c_{1}\,b^2\,c^2+b_{1}\,b\,c^3+\frac{a\,c_{1}\,c^3}{2}\right)+x^5\,\left(\frac{24\,c_{1}\,a^2\,b\,c}{5}+\frac{6\,b_{1}\,a^2\,c^2}{5}+\frac{32\,c_{1}\,a\,b^3}{5}+\frac{48\,b_{1}\,a\,b^2\,c}{5}+\frac{16\,b_{1}\,b^4}{5}\right)+x^6\,\left(c_{1}\,a^2\,c^2+8\,c_{1}\,a\,b^2\,c+4\,b_{1}\,a\,b\,c^2+\frac{8\,c_{1}\,b^4}{3}+\frac{16\,b_{1}\,b^3\,c}{3}\right)+x^4\,\left(c\,c_{1}\,a^3+6\,c_{1}\,a^2\,b^2+6\,b_{1}\,c\,a^2\,b+8\,b_{1}\,a\,b^3\right)+x^7\,\left(\frac{32\,c_{1}\,b^3\,c}{7}+\frac{24\,b_{1}\,b^2\,c^2}{7}+\frac{24\,a\,c_{1}\,b\,c^2}{7}+\frac{4\,a\,b_{1}\,c^3}{7}\right)+x^2\,\left(\frac{c_{1}\,a^4}{2}+4\,b\,b_{1}\,a^3\right)+\frac{c^4\,c_{1}\,x^{10}}{10}+a^4\,b_{1}\,x","Not used",1,"x^9*((b1*c^4)/9 + (8*b*c^3*c1)/9) + x^3*(8*a^2*b^2*b1 + (8*a^3*b*c1)/3 + (4*a^3*b1*c)/3) + x^8*(3*b^2*c^2*c1 + (a*c^3*c1)/2 + b*b1*c^3) + x^5*((16*b^4*b1)/5 + (6*a^2*b1*c^2)/5 + (32*a*b^3*c1)/5 + (48*a*b^2*b1*c)/5 + (24*a^2*b*c*c1)/5) + x^6*((8*b^4*c1)/3 + a^2*c^2*c1 + (16*b^3*b1*c)/3 + 4*a*b*b1*c^2 + 8*a*b^2*c*c1) + x^4*(6*a^2*b^2*c1 + 8*a*b^3*b1 + a^3*c*c1 + 6*a^2*b*b1*c) + x^7*((24*b^2*b1*c^2)/7 + (4*a*b1*c^3)/7 + (32*b^3*c*c1)/7 + (24*a*b*c^2*c1)/7) + x^2*((a^4*c1)/2 + 4*a^3*b*b1) + (c^4*c1*x^10)/10 + a^4*b1*x","B"
193,0,-1,159,0.000000,"\text{Not used}","int((b1 + c1*x)*(a + 2*b*x + c*x^2)^n,x)","\int \left(b_{1}+c_{1}\,x\right)\,{\left(c\,x^2+2\,b\,x+a\right)}^n \,d x","Not used",1,"int((b1 + c1*x)*(a + 2*b*x + c*x^2)^n, x)","F"
194,1,155,65,0.270724,"\text{Not used}","int((b1 + c1*x)/(a + 2*b*x + c*x^2),x)","\frac{b_{1}\,\mathrm{atan}\left(\frac{b}{\sqrt{a\,c-b^2}}+\frac{c\,x}{\sqrt{a\,c-b^2}}\right)}{\sqrt{a\,c-b^2}}-\frac{2\,b^2\,c_{1}\,\ln\left(c\,x^2+2\,b\,x+a\right)}{4\,a\,c^2-4\,b^2\,c}+\frac{2\,a\,c\,c_{1}\,\ln\left(c\,x^2+2\,b\,x+a\right)}{4\,a\,c^2-4\,b^2\,c}-\frac{b\,c_{1}\,\mathrm{atan}\left(\frac{b}{\sqrt{a\,c-b^2}}+\frac{c\,x}{\sqrt{a\,c-b^2}}\right)}{c\,\sqrt{a\,c-b^2}}","Not used",1,"(b1*atan(b/(a*c - b^2)^(1/2) + (c*x)/(a*c - b^2)^(1/2)))/(a*c - b^2)^(1/2) - (2*b^2*c1*log(a + 2*b*x + c*x^2))/(4*a*c^2 - 4*b^2*c) + (2*a*c*c1*log(a + 2*b*x + c*x^2))/(4*a*c^2 - 4*b^2*c) - (b*c1*atan(b/(a*c - b^2)^(1/2) + (c*x)/(a*c - b^2)^(1/2)))/(c*(a*c - b^2)^(1/2))","B"
195,1,159,89,0.282689,"\text{Not used}","int((b1 + c1*x)/(a + 2*b*x + c*x^2)^2,x)","\frac{\mathrm{atan}\left(\frac{2\,\left(\frac{\left(4\,b^3-4\,a\,b\,c\right)\,\left(b\,c_{1}-b_{1}\,c\right)}{8\,{\left(a\,c-b^2\right)}^{5/2}}-\frac{c\,x\,\left(b\,c_{1}-b_{1}\,c\right)}{2\,{\left(a\,c-b^2\right)}^{3/2}}\right)\,\left(a\,c-b^2\right)}{b\,c_{1}-b_{1}\,c}\right)\,\left(b\,c_{1}-b_{1}\,c\right)}{2\,{\left(a\,c-b^2\right)}^{3/2}}-\frac{\frac{a\,c_{1}-b\,b_{1}}{2\,\left(a\,c-b^2\right)}+\frac{x\,\left(b\,c_{1}-b_{1}\,c\right)}{2\,\left(a\,c-b^2\right)}}{c\,x^2+2\,b\,x+a}","Not used",1,"(atan((2*(((4*b^3 - 4*a*b*c)*(b*c1 - b1*c))/(8*(a*c - b^2)^(5/2)) - (c*x*(b*c1 - b1*c))/(2*(a*c - b^2)^(3/2)))*(a*c - b^2))/(b*c1 - b1*c))*(b*c1 - b1*c))/(2*(a*c - b^2)^(3/2)) - ((a*c1 - b*b1)/(2*(a*c - b^2)) + (x*(b*c1 - b1*c))/(2*(a*c - b^2)))/(a + 2*b*x + c*x^2)","B"
196,1,360,130,0.504816,"\text{Not used}","int((b1 + c1*x)/(a + 2*b*x + c*x^2)^3,x)","\frac{3\,c\,\mathrm{atan}\left(\frac{8\,\left(\frac{3\,c^2\,x\,\left(b\,c_{1}-b_{1}\,c\right)}{8\,{\left(a\,c-b^2\right)}^{5/2}}+\frac{3\,c\,\left(b\,c_{1}-b_{1}\,c\right)\,\left(16\,a^2\,b\,c^2-32\,a\,b^3\,c+16\,b^5\right)}{128\,{\left(a\,c-b^2\right)}^{5/2}\,\left(a^2\,c^2-2\,a\,b^2\,c+b^4\right)}\right)\,\left(a^2\,c^2-2\,a\,b^2\,c+b^4\right)}{3\,b_{1}\,c^2-3\,b\,c\,c_{1}}\right)\,\left(b\,c_{1}-b_{1}\,c\right)}{8\,{\left(a\,c-b^2\right)}^{5/2}}-\frac{\frac{2\,c\,c_{1}\,a^2+c_{1}\,a\,b^2-5\,b_{1}\,c\,a\,b+2\,b_{1}\,b^3}{8\,\left(a^2\,c^2-2\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(4\,b^2+5\,a\,c\right)\,\left(b\,c_{1}-b_{1}\,c\right)}{8\,\left(a^2\,c^2-2\,a\,b^2\,c+b^4\right)}+\frac{3\,c^2\,x^3\,\left(b\,c_{1}-b_{1}\,c\right)}{8\,\left(a^2\,c^2-2\,a\,b^2\,c+b^4\right)}+\frac{9\,b\,c\,x^2\,\left(b\,c_{1}-b_{1}\,c\right)}{8\,\left(a^2\,c^2-2\,a\,b^2\,c+b^4\right)}}{a^2+x^2\,\left(4\,b^2+2\,a\,c\right)+c^2\,x^4+4\,a\,b\,x+4\,b\,c\,x^3}","Not used",1,"(3*c*atan((8*((3*c^2*x*(b*c1 - b1*c))/(8*(a*c - b^2)^(5/2)) + (3*c*(b*c1 - b1*c)*(16*b^5 + 16*a^2*b*c^2 - 32*a*b^3*c))/(128*(a*c - b^2)^(5/2)*(b^4 + a^2*c^2 - 2*a*b^2*c)))*(b^4 + a^2*c^2 - 2*a*b^2*c))/(3*b1*c^2 - 3*b*c*c1))*(b*c1 - b1*c))/(8*(a*c - b^2)^(5/2)) - ((2*b^3*b1 + a*b^2*c1 + 2*a^2*c*c1 - 5*a*b*b1*c)/(8*(b^4 + a^2*c^2 - 2*a*b^2*c)) + (x*(5*a*c + 4*b^2)*(b*c1 - b1*c))/(8*(b^4 + a^2*c^2 - 2*a*b^2*c)) + (3*c^2*x^3*(b*c1 - b1*c))/(8*(b^4 + a^2*c^2 - 2*a*b^2*c)) + (9*b*c*x^2*(b*c1 - b1*c))/(8*(b^4 + a^2*c^2 - 2*a*b^2*c)))/(a^2 + x^2*(2*a*c + 4*b^2) + c^2*x^4 + 4*a*b*x + 4*b*c*x^3)","B"
197,1,640,173,0.706394,"\text{Not used}","int((b1 + c1*x)/(a + 2*b*x + c*x^2)^4,x)","\frac{\frac{5\,c^4\,x^5\,\left(b\,c_{1}-b_{1}\,c\right)}{16\,\left(-a^3\,c^3+3\,a^2\,b^2\,c^2-3\,a\,b^4\,c+b^6\right)}-\frac{-8\,c_{1}\,a^3\,c^2-9\,c_{1}\,a^2\,b^2\,c+33\,b_{1}\,a^2\,b\,c^2+2\,c_{1}\,a\,b^4-26\,b_{1}\,a\,b^3\,c+8\,b_{1}\,b^5}{48\,\left(-a^3\,c^3+3\,a^2\,b^2\,c^2-3\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(b\,c_{1}-b_{1}\,c\right)\,\left(11\,a^2\,c^2+18\,a\,b^2\,c-4\,b^4\right)}{16\,\left(-a^3\,c^3+3\,a^2\,b^2\,c^2-3\,a\,b^4\,c+b^6\right)}+\frac{5\,c\,x^3\,\left(11\,b^2\,c+4\,a\,c^2\right)\,\left(b\,c_{1}-b_{1}\,c\right)}{24\,\left(-a^3\,c^3+3\,a^2\,b^2\,c^2-3\,a\,b^4\,c+b^6\right)}+\frac{5\,c\,x^2\,\left(b^3+4\,a\,c\,b\right)\,\left(b\,c_{1}-b_{1}\,c\right)}{8\,\left(-a^3\,c^3+3\,a^2\,b^2\,c^2-3\,a\,b^4\,c+b^6\right)}+\frac{25\,b\,c^3\,x^4\,\left(b\,c_{1}-b_{1}\,c\right)}{16\,\left(-a^3\,c^3+3\,a^2\,b^2\,c^2-3\,a\,b^4\,c+b^6\right)}}{x^3\,\left(8\,b^3+12\,a\,c\,b\right)+x^2\,\left(3\,c\,a^2+12\,a\,b^2\right)+x^4\,\left(12\,b^2\,c+3\,a\,c^2\right)+a^3+c^3\,x^6+6\,b\,c^2\,x^5+6\,a^2\,b\,x}-\frac{5\,c^2\,\mathrm{atan}\left(\frac{16\,\left(\frac{5\,c^3\,x\,\left(b\,c_{1}-b_{1}\,c\right)}{16\,{\left(a\,c-b^2\right)}^{7/2}}+\frac{5\,c^2\,\left(b\,c_{1}-b_{1}\,c\right)\,\left(-32\,a^3\,b\,c^3+96\,a^2\,b^3\,c^2-96\,a\,b^5\,c+32\,b^7\right)}{512\,{\left(a\,c-b^2\right)}^{7/2}\,\left(-a^3\,c^3+3\,a^2\,b^2\,c^2-3\,a\,b^4\,c+b^6\right)}\right)\,\left(-a^3\,c^3+3\,a^2\,b^2\,c^2-3\,a\,b^4\,c+b^6\right)}{5\,b_{1}\,c^3-5\,b\,c^2\,c_{1}}\right)\,\left(b\,c_{1}-b_{1}\,c\right)}{16\,{\left(a\,c-b^2\right)}^{7/2}}","Not used",1,"((5*c^4*x^5*(b*c1 - b1*c))/(16*(b^6 - a^3*c^3 + 3*a^2*b^2*c^2 - 3*a*b^4*c)) - (8*b^5*b1 - 8*a^3*c^2*c1 + 2*a*b^4*c1 - 26*a*b^3*b1*c + 33*a^2*b*b1*c^2 - 9*a^2*b^2*c*c1)/(48*(b^6 - a^3*c^3 + 3*a^2*b^2*c^2 - 3*a*b^4*c)) + (x*(b*c1 - b1*c)*(11*a^2*c^2 - 4*b^4 + 18*a*b^2*c))/(16*(b^6 - a^3*c^3 + 3*a^2*b^2*c^2 - 3*a*b^4*c)) + (5*c*x^3*(4*a*c^2 + 11*b^2*c)*(b*c1 - b1*c))/(24*(b^6 - a^3*c^3 + 3*a^2*b^2*c^2 - 3*a*b^4*c)) + (5*c*x^2*(b^3 + 4*a*b*c)*(b*c1 - b1*c))/(8*(b^6 - a^3*c^3 + 3*a^2*b^2*c^2 - 3*a*b^4*c)) + (25*b*c^3*x^4*(b*c1 - b1*c))/(16*(b^6 - a^3*c^3 + 3*a^2*b^2*c^2 - 3*a*b^4*c)))/(x^3*(8*b^3 + 12*a*b*c) + x^2*(12*a*b^2 + 3*a^2*c) + x^4*(3*a*c^2 + 12*b^2*c) + a^3 + c^3*x^6 + 6*b*c^2*x^5 + 6*a^2*b*x) - (5*c^2*atan((16*((5*c^3*x*(b*c1 - b1*c))/(16*(a*c - b^2)^(7/2)) + (5*c^2*(b*c1 - b1*c)*(32*b^7 - 32*a^3*b*c^3 + 96*a^2*b^3*c^2 - 96*a*b^5*c))/(512*(a*c - b^2)^(7/2)*(b^6 - a^3*c^3 + 3*a^2*b^2*c^2 - 3*a*b^4*c)))*(b^6 - a^3*c^3 + 3*a^2*b^2*c^2 - 3*a*b^4*c))/(5*b1*c^3 - 5*b*c^2*c1))*(b*c1 - b1*c))/(16*(a*c - b^2)^(7/2))","B"
198,0,-1,169,0.000000,"\text{Not used}","int((b1 + c1*x)/(a + 2*b*x + c*x^2)^n,x)","\int \frac{b_{1}+c_{1}\,x}{{\left(c\,x^2+2\,b\,x+a\right)}^n} \,d x","Not used",1,"int((b1 + c1*x)/(a + 2*b*x + c*x^2)^n, x)","F"
199,1,36,49,0.170747,"\text{Not used}","int(x/(6*x + 2*x^2 + 3),x)","\ln\left(x+\frac{\sqrt{3}}{2}+\frac{3}{2}\right)\,\left(\frac{\sqrt{3}}{4}+\frac{1}{4}\right)-\ln\left(x-\frac{\sqrt{3}}{2}+\frac{3}{2}\right)\,\left(\frac{\sqrt{3}}{4}-\frac{1}{4}\right)","Not used",1,"log(x + 3^(1/2)/2 + 3/2)*(3^(1/2)/4 + 1/4) - log(x - 3^(1/2)/2 + 3/2)*(3^(1/2)/4 - 1/4)","B"
200,1,53,61,0.208517,"\text{Not used}","int((2*x - 3)/(6*x + 2*x^2 + 3)^3,x)","\frac{\sqrt{3}\,\mathrm{atanh}\left(\sqrt{3}\,\left(\frac{2\,x}{3}+1\right)\right)}{3}-\frac{\frac{x^3}{2}+\frac{9\,x^2}{4}+\frac{11\,x}{4}+\frac{13}{16}}{x^4+6\,x^3+12\,x^2+9\,x+\frac{9}{4}}","Not used",1,"(3^(1/2)*atanh(3^(1/2)*((2*x)/3 + 1)))/3 - ((11*x)/4 + (9*x^2)/4 + x^3/2 + 13/16)/(9*x + 12*x^2 + 6*x^3 + x^4 + 9/4)","B"
201,1,25,36,0.051130,"\text{Not used}","int((x - 1)/(5*x + x^2 + 4)^2,x)","\frac{\frac{7\,x}{9}+\frac{13}{9}}{x^2+5\,x+4}-\frac{14\,\mathrm{atanh}\left(\frac{2\,x}{3}+\frac{5}{3}\right)}{27}","Not used",1,"((7*x)/9 + 13/9)/(5*x + x^2 + 4) - (14*atanh((2*x)/3 + 5/3))/27","B"
202,1,65,87,0.093648,"\text{Not used}","int(1/(3*x + x^2 + 2)^5,x)","70\,\ln\left(\frac{x+1}{x+2}\right)+70\,\left(x+\frac{3}{2}\right)\,\left(\frac{1}{x^2+3\,x+2}-\frac{1}{6\,{\left(x^2+3\,x+2\right)}^2}+\frac{1}{30\,{\left(x^2+3\,x+2\right)}^3}-\frac{1}{140\,{\left(x^2+3\,x+2\right)}^4}\right)","Not used",1,"70*log((x + 1)/(x + 2)) + 70*(x + 3/2)*(1/(3*x + x^2 + 2) - 1/(6*(3*x + x^2 + 2)^2) + 1/(30*(3*x + x^2 + 2)^3) - 1/(140*(3*x + x^2 + 2)^4))","B"
203,1,77,81,0.108587,"\text{Not used}","int(1/(x^3*(2*x^2 - 6*x + 7)^2),x)","\frac{80\,\ln\left(x\right)}{2401}-\frac{\frac{69\,x^3}{1715}-\frac{407\,x^2}{3430}+\frac{9\,x}{98}+\frac{1}{28}}{x^4-3\,x^3+\frac{7\,x^2}{2}}-\ln\left(x-\frac{3}{2}-\frac{\sqrt{5}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{40}{2401}+\frac{\sqrt{5}\,117{}\mathrm{i}}{60025}\right)+\ln\left(x-\frac{3}{2}+\frac{\sqrt{5}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{40}{2401}+\frac{\sqrt{5}\,117{}\mathrm{i}}{60025}\right)","Not used",1,"(80*log(x))/2401 - ((9*x)/98 - (407*x^2)/3430 + (69*x^3)/1715 + 1/28)/((7*x^2)/2 - 3*x^3 + x^4) - log(x - (5^(1/2)*1i)/2 - 3/2)*((5^(1/2)*117i)/60025 + 40/2401) + log(x + (5^(1/2)*1i)/2 - 3/2)*((5^(1/2)*117i)/60025 - 40/2401)","B"
204,1,90,104,0.213282,"\text{Not used}","int(x^9/(3*x + x^2 + 2)^5,x)","1472\,\ln\left(x+2\right)-1471\,\ln\left(x+1\right)-\frac{1458\,x^7+15350\,x^6+67824\,x^5+\frac{651951\,x^4}{4}+229950\,x^3+\frac{571502\,x^2}{3}+85880\,x+\frac{48820}{3}}{x^8+12\,x^7+62\,x^6+180\,x^5+321\,x^4+360\,x^3+248\,x^2+96\,x+16}","Not used",1,"1472*log(x + 2) - 1471*log(x + 1) - (85880*x + (571502*x^2)/3 + 229950*x^3 + (651951*x^4)/4 + 67824*x^5 + 15350*x^6 + 1458*x^7 + 48820/3)/(96*x + 248*x^2 + 360*x^3 + 321*x^4 + 180*x^5 + 62*x^6 + 12*x^7 + x^8 + 16)","B"
205,1,85,102,0.212513,"\text{Not used}","int((2*x + 1)^2/(5*x + 2*x^2 + 3)^5,x)","\frac{1240\,x^7+10850\,x^6+\frac{121210\,x^5}{3}+\frac{995875\,x^4}{12}+\frac{203081\,x^3}{2}+\frac{1776145\,x^2}{24}+\frac{357029\,x}{12}+\frac{325799}{64}}{x^8+10\,x^7+\frac{87\,x^6}{2}+\frac{215\,x^5}{2}+\frac{2641\,x^4}{16}+\frac{645\,x^3}{4}+\frac{783\,x^2}{8}+\frac{135\,x}{4}+\frac{81}{16}}-4960\,\mathrm{atanh}\left(4\,x+5\right)","Not used",1,"((357029*x)/12 + (1776145*x^2)/24 + (203081*x^3)/2 + (995875*x^4)/12 + (121210*x^5)/3 + 10850*x^6 + 1240*x^7 + 325799/64)/((135*x)/4 + (783*x^2)/8 + (645*x^3)/4 + (2641*x^4)/16 + (215*x^5)/2 + (87*x^6)/2 + 10*x^7 + x^8 + 81/16) - 4960*atanh(4*x + 5)","B"
206,1,37,40,0.204008,"\text{Not used}","int((a - b*x^2)^3/x^7,x)","-b^3\,\ln\left(x\right)-\frac{\frac{a^3}{6}-\frac{3\,a^2\,b\,x^2}{4}+\frac{3\,a\,b^2\,x^4}{2}}{x^6}","Not used",1,"- b^3*log(x) - (a^3/6 - (3*a^2*b*x^2)/4 + (3*a*b^2*x^4)/2)/x^6","B"
207,1,79,83,0.146208,"\text{Not used}","int(x^13/(a^4 + x^4)^5,x)","\frac{5\,\mathrm{atan}\left(\frac{x^2}{a^2}\right)}{256\,a^6}-\frac{\frac{73\,x^{10}}{768}+\frac{55\,a^4\,x^6}{768}+\frac{5\,a^8\,x^2}{256}-\frac{5\,x^{14}}{256\,a^4}}{a^{16}+4\,a^{12}\,x^4+6\,a^8\,x^8+4\,a^4\,x^{12}+x^{16}}","Not used",1,"(5*atan(x^2/a^2))/(256*a^6) - ((73*x^10)/768 + (55*a^4*x^6)/768 + (5*a^8*x^2)/256 - (5*x^14)/(256*a^4))/(a^16 + x^16 + 4*a^4*x^12 + 6*a^8*x^8 + 4*a^12*x^4)","B"
208,1,31,49,0.189596,"\text{Not used}","int(x^(3/2)*(x - 2*x^(1/2))^2*(x^2 + 1),x)","\frac{8\,x^{7/2}}{7}-\frac{2\,x^6}{3}-x^4+\frac{2\,x^{9/2}}{9}+\frac{8\,x^{11/2}}{11}+\frac{2\,x^{13/2}}{13}","Not used",1,"(8*x^(7/2))/7 - (2*x^6)/3 - x^4 + (2*x^(9/2))/9 + (8*x^(11/2))/11 + (2*x^(13/2))/13","B"
209,1,31,55,0.066195,"\text{Not used}","int(-(x^(3/2) - 3*x^(3/5))^2*(x^(2/3)/3 - 4*x^(3/2)),x)","\frac{8\,x^{11/2}}{11}-\frac{x^{14/3}}{14}-\frac{120\,x^{23/5}}{23}+\frac{360\,x^{37/10}}{37}-\frac{45\,x^{43/15}}{43}+\frac{60\,x^{113/30}}{113}","Not used",1,"(8*x^(11/2))/11 - x^(14/3)/14 - (120*x^(23/5))/23 + (360*x^(37/10))/37 - (45*x^(43/15))/43 + (60*x^(113/30))/113","B"
210,1,18,22,0.133981,"\text{Not used}","int(1/((x + 1)^(1/2) + 1),x)","2\,\sqrt{x+1}-2\,\ln\left(\sqrt{x+1}+1\right)","Not used",1,"2*(x + 1)^(1/2) - 2*log((x + 1)^(1/2) + 1)","B"
211,1,11,15,0.029541,"\text{Not used}","int(x/((x + 1)^(1/2) + 1),x)","\frac{2\,{\left(x+1\right)}^{3/2}}{3}-x","Not used",1,"(2*(x + 1)^(3/2))/3 - x","B"
212,1,19,25,0.219190,"\text{Not used}","int(((x + 1)^(1/2) + 1)/((x + 1)^(1/2) - 1),x)","x+4\,\ln\left(\sqrt{x+1}-1\right)+4\,\sqrt{x+1}","Not used",1,"x + 4*log((x + 1)^(1/2) - 1) + 4*(x + 1)^(1/2)","B"
213,1,25,33,0.244702,"\text{Not used}","int(-1/((x + 1)^(1/2) - (x + 1)^(2/3)),x)","6\,\ln\left({\left(x+1\right)}^{1/6}-1\right)+3\,{\left(x+1\right)}^{1/3}+6\,{\left(x+1\right)}^{1/6}","Not used",1,"6*log((x + 1)^(1/6) - 1) + 3*(x + 1)^(1/3) + 6*(x + 1)^(1/6)","B"
214,1,16,29,0.543490,"\text{Not used}","int((x^(1/4) + 1)^(1/3)/x^(1/2),x)","\frac{3\,{\left(x^{1/4}+1\right)}^{4/3}\,\left(4\,x^{1/4}-3\right)}{7}","Not used",1,"(3*(x^(1/4) + 1)^(4/3)*(4*x^(1/4) - 3))/7","B"
215,1,43,52,0.048202,"\text{Not used}","int(1/(x^3*(x + 1)^(3/2)),x)","-\frac{15\,\mathrm{atanh}\left(\sqrt{x+1}\right)}{4}-\frac{\frac{25\,x}{4}-\frac{15\,{\left(x+1\right)}^2}{4}+\frac{17}{4}}{\sqrt{x+1}-2\,{\left(x+1\right)}^{3/2}+{\left(x+1\right)}^{5/2}}","Not used",1,"- (15*atanh((x + 1)^(1/2)))/4 - ((25*x)/4 - (15*(x + 1)^2)/4 + 17/4)/((x + 1)^(1/2) - 2*(x + 1)^(3/2) + (x + 1)^(5/2))","B"
216,1,96,118,0.209773,"\text{Not used}","int(1/(x^5*(1 - x)^(7/2)),x)","\frac{\frac{286\,{\left(x-1\right)}^2}{15}-\frac{26\,x}{15}+\frac{39897\,{\left(x-1\right)}^3}{320}+\frac{73073\,{\left(x-1\right)}^4}{320}+\frac{11011\,{\left(x-1\right)}^5}{64}+\frac{3003\,{\left(x-1\right)}^6}{64}+\frac{32}{15}}{{\left(1-x\right)}^{5/2}-4\,{\left(1-x\right)}^{7/2}+6\,{\left(1-x\right)}^{9/2}-4\,{\left(1-x\right)}^{11/2}+{\left(1-x\right)}^{13/2}}-\frac{3003\,\mathrm{atanh}\left(\sqrt{1-x}\right)}{64}","Not used",1,"((286*(x - 1)^2)/15 - (26*x)/15 + (39897*(x - 1)^3)/320 + (73073*(x - 1)^4)/320 + (11011*(x - 1)^5)/64 + (3003*(x - 1)^6)/64 + 32/15)/((1 - x)^(5/2) - 4*(1 - x)^(7/2) + 6*(1 - x)^(9/2) - 4*(1 - x)^(11/2) + (1 - x)^(13/2)) - (3003*atanh((1 - x)^(1/2)))/64","B"
217,1,120,104,0.212411,"\text{Not used}","int(1/(x^5*(x - 1)^(2/3)),x)","\frac{110\,\ln\left(\frac{12100\,{\left(x-1\right)}^{1/3}}{6561}+\frac{12100}{6561}\right)}{243}+\frac{\frac{133\,{\left(x-1\right)}^{1/3}}{81}+\frac{341\,{\left(x-1\right)}^{4/3}}{108}+\frac{22\,{\left(x-1\right)}^{7/3}}{9}+\frac{55\,{\left(x-1\right)}^{10/3}}{81}}{4\,x+6\,{\left(x-1\right)}^2+4\,{\left(x-1\right)}^3+{\left(x-1\right)}^4-3}-\ln\left(\frac{55}{27}-\frac{110\,{\left(x-1\right)}^{1/3}}{27}+\frac{\sqrt{3}\,55{}\mathrm{i}}{27}\right)\,\left(\frac{55}{243}+\frac{\sqrt{3}\,55{}\mathrm{i}}{243}\right)+\ln\left(\frac{110\,{\left(x-1\right)}^{1/3}}{27}-\frac{55}{27}+\frac{\sqrt{3}\,55{}\mathrm{i}}{27}\right)\,\left(-\frac{55}{243}+\frac{\sqrt{3}\,55{}\mathrm{i}}{243}\right)","Not used",1,"(110*log((12100*(x - 1)^(1/3))/6561 + 12100/6561))/243 + ((133*(x - 1)^(1/3))/81 + (341*(x - 1)^(4/3))/108 + (22*(x - 1)^(7/3))/9 + (55*(x - 1)^(10/3))/81)/(4*x + 6*(x - 1)^2 + 4*(x - 1)^3 + (x - 1)^4 - 3) - log((3^(1/2)*55i)/27 - (110*(x - 1)^(1/3))/27 + 55/27)*((3^(1/2)*55i)/243 + 55/243) + log((110*(x - 1)^(1/3))/27 + (3^(1/2)*55i)/27 - 55/27)*((3^(1/2)*55i)/243 - 55/243)","B"
218,1,43,38,0.193651,"\text{Not used}","int((-(x - 1)/(x + 1))^(1/2),x)","-2\,\mathrm{atan}\left(\sqrt{-\frac{x-1}{x+1}}\right)-\frac{2\,\sqrt{-\frac{x-1}{x+1}}}{\frac{x-1}{x+1}-1}","Not used",1,"- 2*atan((-(x - 1)/(x + 1))^(1/2)) - (2*(-(x - 1)/(x + 1))^(1/2))/((x - 1)/(x + 1) - 1)","B"
219,1,140,92,0.344706,"\text{Not used}","int(x*(-(a - x)/(b - x))^(1/2),x)","-\frac{\sqrt{-\frac{a-x}{b-x}}\,\left(\frac{a^2\,1{}\mathrm{i}}{4}+\frac{a\,b\,1{}\mathrm{i}}{2}-\frac{b^2\,3{}\mathrm{i}}{4}\right)\,1{}\mathrm{i}-{\left(-\frac{a-x}{b-x}\right)}^{3/2}\,\left(\frac{a^2\,1{}\mathrm{i}}{4}-\frac{a\,b\,3{}\mathrm{i}}{2}+\frac{b^2\,5{}\mathrm{i}}{4}\right)\,1{}\mathrm{i}}{\frac{{\left(a-x\right)}^2}{{\left(b-x\right)}^2}-\frac{2\,\left(a-x\right)}{b-x}+1}-\frac{\mathrm{atan}\left(\sqrt{-\frac{a-x}{b-x}}\right)\,\left(a-b\right)\,\left(a+3\,b\right)}{4}","Not used",1,"- ((-(a - x)/(b - x))^(1/2)*((a*b*1i)/2 + (a^2*1i)/4 - (b^2*3i)/4)*1i - (-(a - x)/(b - x))^(3/2)*((a^2*1i)/4 - (a*b*3i)/2 + (b^2*5i)/4)*1i)/((a - x)^2/(b - x)^2 - (2*(a - x))/(b - x) + 1) - (atan((-(a - x)/(b - x))^(1/2))*(a - b)*(a + 3*b))/4","B"
220,1,95,54,0.609026,"\text{Not used}","int(((x + 3)^(1/2)*(x - 5)^(1/2))/((x^2 - 25)*(x - 1)),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{x+3}\,\sqrt{x-5}-2\,\sqrt{2}\,\sqrt{x-5}}{x-2\,\sqrt{2}\,\sqrt{x+3}+3}\right)}{3}-\frac{\sqrt{5}\,\mathrm{atanh}\left(-\frac{\sqrt{5}\,\sqrt{x+3}\,\sqrt{x-5}-2\,\sqrt{2}\,\sqrt{5}\,\sqrt{x-5}}{5\,x-10\,\sqrt{2}\,\sqrt{x+3}+15}\right)}{15}","Not used",1,"atan(((x + 3)^(1/2)*(x - 5)^(1/2) - 2*2^(1/2)*(x - 5)^(1/2))/(x - 2*2^(1/2)*(x + 3)^(1/2) + 3))/3 - (5^(1/2)*atanh(-(5^(1/2)*(x + 3)^(1/2)*(x - 5)^(1/2) - 2*2^(1/2)*5^(1/2)*(x - 5)^(1/2))/(5*x - 10*2^(1/2)*(x + 3)^(1/2) + 15)))/15","B"
221,0,-1,304,0.000000,"\text{Not used}","int(-(x^2*(1 - x^2)^(1/4)*(x + 1)^(1/2))/(((x + 1)^(1/2) - (1 - x)^(1/2))*(1 - x)^(1/2)),x)","-\int \frac{x^2\,{\left(1-x^2\right)}^{1/4}\,\sqrt{x+1}}{\left(\sqrt{x+1}-\sqrt{1-x}\right)\,\sqrt{1-x}} \,d x","Not used",1,"-int((x^2*(1 - x^2)^(1/4)*(x + 1)^(1/2))/(((x + 1)^(1/2) - (1 - x)^(1/2))*(1 - x)^(1/2)), x)","F"
222,0,-1,292,0.000000,"\text{Not used}","int((x*(1 - x)^(1/2)*(x + 1)^(2/3))/((1 - x)^(2/3)*(x + 1)^(1/2) - (1 - x)^(5/6)*(x + 1)^(1/3)),x)","\int \frac{x\,\sqrt{1-x}\,{\left(x+1\right)}^{2/3}}{{\left(1-x\right)}^{2/3}\,\sqrt{x+1}-{\left(1-x\right)}^{5/6}\,{\left(x+1\right)}^{1/3}} \,d x","Not used",1,"int((x*(1 - x)^(1/2)*(x + 1)^(2/3))/((1 - x)^(2/3)*(x + 1)^(1/2) - (1 - x)^(5/6)*(x + 1)^(1/3)), x)","F"
223,1,25,25,0.235944,"\text{Not used}","int(1/((x - 1)^4*(x + 1)^2)^(1/3),x)","-\frac{3\,{\left({\left(x-1\right)}^4\,{\left(x+1\right)}^2\right)}^{2/3}}{2\,{\left(x-1\right)}^3\,\left(x+1\right)}","Not used",1,"-(3*((x - 1)^4*(x + 1)^2)^(2/3))/(2*(x - 1)^3*(x + 1))","B"
224,1,25,25,0.259724,"\text{Not used}","int(1/((x - 1)^3*(x + 2)^5)^(1/4),x)","\frac{4\,{\left({\left(x-1\right)}^3\,{\left(x+2\right)}^5\right)}^{3/4}}{3\,{\left(x-1\right)}^2\,{\left(x+2\right)}^4}","Not used",1,"(4*((x - 1)^3*(x + 2)^5)^(3/4))/(3*(x - 1)^2*(x + 2)^4)","B"
225,1,30,53,0.227442,"\text{Not used}","int(1/((x - 1)^7*(x + 1)^2)^(1/3),x)","\frac{3\,\left(3\,x-5\right)\,{\left({\left(x-1\right)}^7\,{\left(x+1\right)}^2\right)}^{2/3}}{16\,{\left(x-1\right)}^6\,\left(x+1\right)}","Not used",1,"(3*(3*x - 5)*((x - 1)^7*(x + 1)^2)^(2/3))/(16*(x - 1)^6*(x + 1))","B"
226,0,-1,67,0.000000,"\text{Not used}","int(1/((x - 1)^2*(x + 1))^(1/3),x)","\int \frac{1}{{\left({\left(x-1\right)}^2\,\left(x+1\right)\right)}^{1/3}} \,d x","Not used",1,"int(1/((x - 1)^2*(x + 1))^(1/3), x)","F"
227,0,-1,122,0.000000,"\text{Not used}","int((x + 1/x)/((x + 1)^3*(x - 2))^(1/2),x)","\int \frac{x+\frac{1}{x}}{\sqrt{{\left(x+1\right)}^3\,\left(x-2\right)}} \,d x","Not used",1,"int((x + 1/x)/((x + 1)^3*(x - 2))^(1/2), x)","F"
228,0,-1,150,0.000000,"\text{Not used}","int(((x - 1)^2*(x + 1))^(1/3)/x^2,x)","\int \frac{{\left({\left(x-1\right)}^2\,\left(x+1\right)\right)}^{1/3}}{x^2} \,d x","Not used",1,"int(((x - 1)^2*(x + 1))^(1/3)/x^2, x)","F"
229,1,27,43,0.049882,"\text{Not used}","int(1/(x^2 - 2*x - 3)^(5/2),x)","-\frac{\left(4\,x-4\right)\,\left(-8\,x^2+16\,x+40\right)}{768\,{\left(x^2-2\,x-3\right)}^{3/2}}","Not used",1,"-((4*x - 4)*(16*x - 8*x^2 + 40))/(768*(x^2 - 2*x - 3)^(3/2))","B"
230,0,-1,42,0.000000,"\text{Not used}","int(1/(3*x - 5*x^2 + x^3 + 9)^(1/2),x)","\int \frac{1}{\sqrt{x^3-5\,x^2+3\,x+9}} \,d x","Not used",1,"int(1/(3*x - 5*x^2 + x^3 + 9)^(1/2), x)","F"
231,0,-1,139,0.000000,"\text{Not used}","int(1/(3*x - 5*x^2 + x^3 + 9)^(3/2),x)","\int \frac{1}{{\left(x^3-5\,x^2+3\,x+9\right)}^{3/2}} \,d x","Not used",1,"int(1/(3*x - 5*x^2 + x^3 + 9)^(3/2), x)","F"
232,0,-1,75,0.000000,"\text{Not used}","int(1/(3*x - 5*x^2 + x^3 + 9)^(1/3),x)","\int \frac{1}{{\left(x^3-5\,x^2+3\,x+9\right)}^{1/3}} \,d x","Not used",1,"int(1/(3*x - 5*x^2 + x^3 + 9)^(1/3), x)","F"
233,1,24,29,0.052147,"\text{Not used}","int(1/(3*x - 5*x^2 + x^3 + 9)^(2/3),x)","-\frac{3\,{\left(x^3-5\,x^2+3\,x+9\right)}^{1/3}}{4\,\left(x-3\right)}","Not used",1,"-(3*(3*x - 5*x^2 + x^3 + 9)^(1/3))/(4*(x - 3))","B"
234,1,37,92,0.080357,"\text{Not used}","int(1/(3*x - 5*x^2 + x^3 + 9)^(4/3),x)","\frac{3\,\left(9\,x^2-42\,x+29\right)\,{\left(x^3-5\,x^2+3\,x+9\right)}^{2/3}}{320\,\left(x+1\right)\,{\left(x-3\right)}^3}","Not used",1,"(3*(9*x^2 - 42*x + 29)*(3*x - 5*x^2 + x^3 + 9)^(2/3))/(320*(x + 1)*(x - 3)^3)","B"
235,1,16,19,0.196742,"\text{Not used}","int(1/(3*x - 2*x^2 + 4)^(1/2),x)","\frac{\sqrt{2}\,\mathrm{asin}\left(\frac{\sqrt{41}\,\left(4\,x-3\right)}{41}\right)}{2}","Not used",1,"(2^(1/2)*asin((41^(1/2)*(4*x - 3))/41))/2","B"
236,1,4,8,0.184361,"\text{Not used}","int(1/(4*x - x^2 - 3)^(1/2),x)","\mathrm{asin}\left(x-2\right)","Not used",1,"asin(x - 2)","B"
237,1,11,12,0.221935,"\text{Not used}","int(1/(- 5*x - 3*x^2 - 2)^(1/2),x)","\frac{\sqrt{3}\,\mathrm{asin}\left(6\,x+5\right)}{3}","Not used",1,"(3^(1/2)*asin(6*x + 5))/3","B"
238,1,79,31,0.516055,"\text{Not used}","int(1/((1 - x^2)^(1/2)*(x^2 + 4)),x)","\frac{\sqrt{5}\,\ln\left(\frac{\frac{\sqrt{5}\,\left(-1+x\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{5}-\sqrt{1-x^2}\,1{}\mathrm{i}}{x-2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{20}-\frac{\sqrt{5}\,\ln\left(\frac{\frac{\sqrt{5}\,\left(1+x\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{5}+\sqrt{1-x^2}\,1{}\mathrm{i}}{x+2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{20}","Not used",1,"(5^(1/2)*log(((5^(1/2)*(x*2i - 1)*1i)/5 - (1 - x^2)^(1/2)*1i)/(x - 2i))*1i)/20 - (5^(1/2)*log(((5^(1/2)*(x*2i + 1)*1i)/5 + (1 - x^2)^(1/2)*1i)/(x + 2i))*1i)/20","B"
239,1,61,31,0.484853,"\text{Not used}","int(1/((x^2 + 4)*(4*x^2 + 1)^(1/2)),x)","-\frac{\sqrt{15}\,\left(\ln\left(x-2{}\mathrm{i}\right)-\ln\left(x+\frac{\sqrt{15}\,\sqrt{x^2+\frac{1}{4}}}{4}-\frac{1}{8}{}\mathrm{i}\right)\right)}{60}+\frac{\sqrt{15}\,\left(\ln\left(x+2{}\mathrm{i}\right)-\ln\left(x-\frac{\sqrt{15}\,\sqrt{x^2+\frac{1}{4}}}{4}+\frac{1}{8}{}\mathrm{i}\right)\right)}{60}","Not used",1,"(15^(1/2)*(log(x + 2i) - log(x - (15^(1/2)*(x^2 + 1/4)^(1/2))/4 + 1i/8)))/60 - (15^(1/2)*(log(x - 2i) - log(x + (15^(1/2)*(x^2 + 1/4)^(1/2))/4 - 1i/8)))/60","B"
240,1,78,24,0.788861,"\text{Not used}","int(-x/((x^2 - 3)*(5 - x^2)^(1/2)),x)","\frac{\sqrt{2}\,\left(\ln\left(\frac{\frac{\sqrt{2}\,\left(\sqrt{3}\,x+5\right)\,1{}\mathrm{i}}{2}+\sqrt{5-x^2}\,1{}\mathrm{i}}{x+\sqrt{3}}\right)+\ln\left(\frac{\frac{\sqrt{2}\,\left(\sqrt{3}\,x-5\right)\,1{}\mathrm{i}}{2}-\sqrt{5-x^2}\,1{}\mathrm{i}}{x-\sqrt{3}}\right)\right)}{4}","Not used",1,"(2^(1/2)*(log(((2^(1/2)*(3^(1/2)*x + 5)*1i)/2 + (5 - x^2)^(1/2)*1i)/(x + 3^(1/2))) + log(((2^(1/2)*(3^(1/2)*x - 5)*1i)/2 - (5 - x^2)^(1/2)*1i)/(x - 3^(1/2)))))/4","B"
241,1,83,25,0.760160,"\text{Not used}","int(-x/((3 - x^2)^(1/2)*(x^2 - 5)),x)","-\frac{\sqrt{2}\,\ln\left(\frac{\frac{\sqrt{2}\,\left(\sqrt{5}\,x+3\right)}{2}+\sqrt{3-x^2}\,1{}\mathrm{i}}{x+\sqrt{5}}\right)\,1{}\mathrm{i}}{4}-\frac{\sqrt{2}\,\ln\left(\frac{\frac{\sqrt{2}\,\left(\sqrt{5}\,x-3\right)}{2}-\sqrt{3-x^2}\,1{}\mathrm{i}}{x-\sqrt{5}}\right)\,1{}\mathrm{i}}{4}","Not used",1,"- (2^(1/2)*log(((2^(1/2)*(5^(1/2)*x + 3))/2 + (3 - x^2)^(1/2)*1i)/(x + 5^(1/2)))*1i)/4 - (2^(1/2)*log(((2^(1/2)*(5^(1/2)*x - 3))/2 - (3 - x^2)^(1/2)*1i)/(x - 5^(1/2)))*1i)/4","B"
242,1,107,43,0.114012,"\text{Not used}","int(1/((x^2 + 2)^(1/2)*(x^4 - 1)),x)","\frac{\sqrt{3}\,\left(\ln\left(x-1\right)-\ln\left(x+\sqrt{3}\,\sqrt{x^2+2}+2\right)\right)}{12}-\frac{\sqrt{3}\,\left(\ln\left(x+1\right)-\ln\left(\sqrt{3}\,\sqrt{x^2+2}-x+2\right)\right)}{12}+\frac{\ln\left(\sqrt{x^2+2}+2-x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}-\frac{\ln\left(\sqrt{x^2+2}+2+x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}+\frac{\ln\left(x-\mathrm{i}\right)\,1{}\mathrm{i}}{4}-\frac{\ln\left(x+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}","Not used",1,"(log((x^2 + 2)^(1/2) - x*1i + 2)*1i)/4 - (log(x*1i + (x^2 + 2)^(1/2) + 2)*1i)/4 + (log(x - 1i)*1i)/4 - (log(x + 1i)*1i)/4 + (3^(1/2)*(log(x - 1) - log(x + 3^(1/2)*(x^2 + 2)^(1/2) + 2)))/12 - (3^(1/2)*(log(x + 1) - log(3^(1/2)*(x^2 + 2)^(1/2) - x + 2)))/12","B"
243,0,-1,62,0.000000,"\text{Not used}","int(x/((x^2 - 1)*(2*x + x^2 + 4)^(1/2)),x)","\int \frac{x}{\left(x^2-1\right)\,\sqrt{x^2+2\,x+4}} \,d x","Not used",1,"int(x/((x^2 - 1)*(2*x + x^2 + 4)^(1/2)), x)","F"
244,0,-1,82,0.000000,"\text{Not used}","int(1/((x^3 - 8)*(2*x + x^2 + 5)^(1/2)),x)","\int \frac{1}{\left(x^3-8\right)\,\sqrt{x^2+2\,x+5}} \,d x","Not used",1,"int(1/((x^3 - 8)*(2*x + x^2 + 5)^(1/2)), x)","F"
245,0,-1,63,0.000000,"\text{Not used}","int(x/((4*x + 4*x^2 + 5)^(1/2)*(x + x^2 + 4)),x)","\int \frac{x}{\sqrt{4\,x^2+4\,x+5}\,\left(x^2+x+4\right)} \,d x","Not used",1,"int(x/((4*x + 4*x^2 + 5)^(1/2)*(x + x^2 + 4)), x)","F"
246,0,-1,56,0.000000,"\text{Not used}","int((x + 3)/((x^2 + 1)*(x + x^2 + 1)^(1/2)),x)","\int \frac{x+3}{\left(x^2+1\right)\,\sqrt{x^2+x+1}} \,d x","Not used",1,"int((x + 3)/((x^2 + 1)*(x + x^2 + 1)^(1/2)), x)","F"
247,0,-1,70,0.000000,"\text{Not used}","int((2*x + 1)/((6*x + x^2 - 1)^(1/2)*(4*x + 3*x^2 + 4)),x)","\int \frac{2\,x+1}{\sqrt{x^2+6\,x-1}\,\left(3\,x^2+4\,x+4\right)} \,d x","Not used",1,"int((2*x + 1)/((6*x + x^2 - 1)^(1/2)*(4*x + 3*x^2 + 4)), x)","F"
248,0,-1,80,0.000000,"\text{Not used}","int((B + A*x)/((5*x^2 - 18*x + 17)*(10*x^2 - 22*x + 13)^(1/2)),x)","\int \frac{B+A\,x}{\left(5\,x^2-18\,x+17\right)\,\sqrt{10\,x^2-22\,x+13}} \,d x","Not used",1,"int((B + A*x)/((5*x^2 - 18*x + 17)*(10*x^2 - 22*x + 13)^(1/2)), x)","F"
249,0,-1,38,0.000000,"\text{Not used}","int((x - 2)/((5*x^2 - 18*x + 17)*(10*x^2 - 22*x + 13)^(1/2)),x)","\int \frac{x-2}{\left(5\,x^2-18\,x+17\right)\,\sqrt{10\,x^2-22\,x+13}} \,d x","Not used",1,"int((x - 2)/((5*x^2 - 18*x + 17)*(10*x^2 - 22*x + 13)^(1/2)), x)","F"
250,1,35,65,0.028490,"\text{Not used}","int(x^4*(5 - x^2)^(1/2),x)","\frac{125\,\mathrm{asin}\left(\frac{\sqrt{5}\,x}{5}\right)}{16}-\sqrt{5-x^2}\,\left(-\frac{x^5}{6}+\frac{5\,x^3}{24}+\frac{25\,x}{16}\right)","Not used",1,"(125*asin((5^(1/2)*x)/5))/16 - (5 - x^2)^(1/2)*((25*x)/16 + (5*x^3)/24 - x^5/6)","B"
251,1,25,49,0.026652,"\text{Not used}","int(1/(x^6*(x^2 + 2)^(1/2)),x)","-\sqrt{x^2+2}\,\left(\frac{1}{15\,x}-\frac{1}{15\,x^3}+\frac{1}{10\,x^5}\right)","Not used",1,"-(x^2 + 2)^(1/2)*(1/(15*x) - 1/(15*x^3) + 1/(10*x^5))","B"
252,1,187,49,0.048313,"\text{Not used}","int(1/(2*x^2 + 3)^(7/2),x)","\frac{2\,\sqrt{2}\,\sqrt{x^2+\frac{3}{2}}}{405\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{2}\right)}+\frac{2\,\sqrt{2}\,\sqrt{x^2+\frac{3}{2}}}{405\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{2}\right)}+\frac{\sqrt{2}\,\sqrt{x^2+\frac{3}{2}}}{1440\,\left(-x^3+\frac{3{}\mathrm{i}\,\sqrt{6}\,x^2}{2}+\frac{9\,x}{2}-\frac{\sqrt{6}\,3{}\mathrm{i}}{4}\right)}+\frac{\sqrt{2}\,\sqrt{x^2+\frac{3}{2}}}{1440\,\left(-x^3-\frac{3{}\mathrm{i}\,\sqrt{6}\,x^2}{2}+\frac{9\,x}{2}+\frac{\sqrt{6}\,3{}\mathrm{i}}{4}\right)}+\frac{\sqrt{2}\,\sqrt{6}\,\sqrt{x^2+\frac{3}{2}}\,19{}\mathrm{i}}{25920\,\left(x^2+1{}\mathrm{i}\,\sqrt{6}\,x-\frac{3}{2}\right)}+\frac{\sqrt{2}\,\sqrt{6}\,\sqrt{x^2+\frac{3}{2}}\,19{}\mathrm{i}}{25920\,\left(-x^2+1{}\mathrm{i}\,\sqrt{6}\,x+\frac{3}{2}\right)}","Not used",1,"(2*2^(1/2)*(x^2 + 3/2)^(1/2))/(405*(x - (6^(1/2)*1i)/2)) + (2*2^(1/2)*(x^2 + 3/2)^(1/2))/(405*(x + (6^(1/2)*1i)/2)) + (2^(1/2)*(x^2 + 3/2)^(1/2))/(1440*((9*x)/2 - (6^(1/2)*3i)/4 + (6^(1/2)*x^2*3i)/2 - x^3)) + (2^(1/2)*(x^2 + 3/2)^(1/2))/(1440*((9*x)/2 + (6^(1/2)*3i)/4 - (6^(1/2)*x^2*3i)/2 - x^3)) + (2^(1/2)*6^(1/2)*(x^2 + 3/2)^(1/2)*19i)/(25920*(6^(1/2)*x*1i + x^2 - 3/2)) + (2^(1/2)*6^(1/2)*(x^2 + 3/2)^(1/2)*19i)/(25920*(6^(1/2)*x*1i - x^2 + 3/2))","B"
253,1,154,12,0.270152,"\text{Not used}","int(x/(a*(x^2 + 1)^(1/2) + x^2 + 1),x)","\frac{\ln\left(x+\sqrt{a-1}\,\sqrt{a+1}\right)}{2}+\frac{\ln\left(x-\sqrt{a-1}\,\sqrt{a+1}\right)}{2}-\frac{a\,\left(\ln\left(x+\sqrt{a-1}\,\sqrt{a+1}\right)-\ln\left(\sqrt{x^2+1}\,\sqrt{a^2}-x\,\sqrt{a-1}\,\sqrt{a+1}+1\right)\right)}{2\,\sqrt{\left(a-1\right)\,\left(a+1\right)+1}}-\frac{a\,\left(\ln\left(x-\sqrt{a-1}\,\sqrt{a+1}\right)-\ln\left(\sqrt{x^2+1}\,\sqrt{a^2}+x\,\sqrt{a-1}\,\sqrt{a+1}+1\right)\right)}{2\,\sqrt{\left(a-1\right)\,\left(a+1\right)+1}}","Not used",1,"log(x + (a - 1)^(1/2)*(a + 1)^(1/2))/2 + log(x - (a - 1)^(1/2)*(a + 1)^(1/2))/2 - (a*(log(x + (a - 1)^(1/2)*(a + 1)^(1/2)) - log((x^2 + 1)^(1/2)*(a^2)^(1/2) - x*(a - 1)^(1/2)*(a + 1)^(1/2) + 1)))/(2*((a - 1)*(a + 1) + 1)^(1/2)) - (a*(log(x - (a - 1)^(1/2)*(a + 1)^(1/2)) - log((x^2 + 1)^(1/2)*(a^2)^(1/2) + x*(a - 1)^(1/2)*(a + 1)^(1/2) + 1)))/(2*((a - 1)*(a + 1) + 1)^(1/2))","B"
254,1,24,12,0.194560,"\text{Not used}","int((x^2 - x + 1)/(x^2 + 1)^(3/2),x)","\frac{\mathrm{asinh}\left(x\right)+x^2\,\mathrm{asinh}\left(x\right)+\sqrt{x^2+1}}{x^2+1}","Not used",1,"(asinh(x) + x^2*asinh(x) + (x^2 + 1)^(1/2))/(x^2 + 1)","B"
255,1,77,27,0.172626,"\text{Not used}","int((x^2 + 1)^(1/2)/(x^2 + 2),x)","\mathrm{asinh}\left(x\right)+\frac{\sqrt{2}\,\left(\ln\left(x-\sqrt{2}\,1{}\mathrm{i}\right)-\ln\left(1+\sqrt{2}\,x\,1{}\mathrm{i}+\sqrt{x^2+1}\,1{}\mathrm{i}\right)\right)}{4}-\frac{\sqrt{2}\,\left(\ln\left(x+\sqrt{2}\,1{}\mathrm{i}\right)-\ln\left(1-\sqrt{2}\,x\,1{}\mathrm{i}+\sqrt{x^2+1}\,1{}\mathrm{i}\right)\right)}{4}","Not used",1,"asinh(x) + (2^(1/2)*(log(x - 2^(1/2)*1i) - log(2^(1/2)*x*1i + (x^2 + 1)^(1/2)*1i + 1)))/4 - (2^(1/2)*(log(x + 2^(1/2)*1i) - log((x^2 + 1)^(1/2)*1i - 2^(1/2)*x*1i + 1)))/4","B"
256,1,117,48,0.093186,"\text{Not used}","int(1/((x^2 + 1)^(1/2)*(x^2 + 2)^2),x)","-\frac{3\,\sqrt{2}\,\left(\ln\left(x-\sqrt{2}\,1{}\mathrm{i}\right)-\ln\left(1+\sqrt{2}\,x\,1{}\mathrm{i}+\sqrt{x^2+1}\,1{}\mathrm{i}\right)\right)}{16}+\frac{3\,\sqrt{2}\,\left(\ln\left(x+\sqrt{2}\,1{}\mathrm{i}\right)-\ln\left(1-\sqrt{2}\,x\,1{}\mathrm{i}+\sqrt{x^2+1}\,1{}\mathrm{i}\right)\right)}{16}-\frac{\sqrt{x^2+1}}{8\,\left(x-\sqrt{2}\,1{}\mathrm{i}\right)}-\frac{\sqrt{x^2+1}}{8\,\left(x+\sqrt{2}\,1{}\mathrm{i}\right)}","Not used",1,"(3*2^(1/2)*(log(x + 2^(1/2)*1i) - log((x^2 + 1)^(1/2)*1i - 2^(1/2)*x*1i + 1)))/16 - (3*2^(1/2)*(log(x - 2^(1/2)*1i) - log(2^(1/2)*x*1i + (x^2 + 1)^(1/2)*1i + 1)))/16 - (x^2 + 1)^(1/2)/(8*(x - 2^(1/2)*1i)) - (x^2 + 1)^(1/2)/(8*(x + 2^(1/2)*1i))","B"
257,0,-1,41,0.000000,"\text{Not used}","int(x^2/((x^2 - 2)^(1/2)*(x^2 - 6)),x)","\int \frac{x^2}{\sqrt{x^2-2}\,\left(x^2-6\right)} \,d x","Not used",1,"int(x^2/((x^2 - 2)^(1/2)*(x^2 - 6)), x)","F"
258,1,115,47,0.132616,"\text{Not used}","int((x^2 + 5)/((1 - x^2)^(1/2)*(x^2 + 1)^2),x)","\sqrt{2}\,\ln\left(\frac{\frac{\sqrt{2}\,\left(-1+x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}-\sqrt{1-x^2}\,1{}\mathrm{i}}{x-\mathrm{i}}\right)\,1{}\mathrm{i}-\sqrt{2}\,\ln\left(\frac{\frac{\sqrt{2}\,\left(1+x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\sqrt{1-x^2}\,1{}\mathrm{i}}{x+1{}\mathrm{i}}\right)\,1{}\mathrm{i}+\frac{\sqrt{1-x^2}}{2\,\left(x-\mathrm{i}\right)}+\frac{\sqrt{1-x^2}}{2\,\left(x+1{}\mathrm{i}\right)}","Not used",1,"2^(1/2)*log(((2^(1/2)*(x*1i - 1)*1i)/2 - (1 - x^2)^(1/2)*1i)/(x - 1i))*1i - 2^(1/2)*log(((2^(1/2)*(x*1i + 1)*1i)/2 + (1 - x^2)^(1/2)*1i)/(x + 1i))*1i + (1 - x^2)^(1/2)/(2*(x - 1i)) + (1 - x^2)^(1/2)/(2*(x + 1i))","B"
259,1,159,88,0.381884,"\text{Not used}","int((4*x - (1 - x^2)^(1/2))/((1 - x^2)^(1/2) + 5),x)","5\,\mathrm{asin}\left(x\right)-x-4\,\sqrt{1-x^2}-\frac{\sqrt{24}\,\ln\left(\frac{\frac{2\,\sqrt{6}\,x}{5}+\sqrt{1-x^2}\,1{}\mathrm{i}+\frac{1}{5}{}\mathrm{i}}{x-\sqrt{6}\,2{}\mathrm{i}}\right)\,\left(125+\sqrt{24}\,100{}\mathrm{i}\right)\,1{}\mathrm{i}}{240}-\frac{\sqrt{24}\,\ln\left(\frac{-\frac{\sqrt{24}\,x}{5}+\sqrt{1-x^2}\,1{}\mathrm{i}+\frac{1}{5}{}\mathrm{i}}{x+\sqrt{24}\,1{}\mathrm{i}}\right)\,\left(-125+\sqrt{24}\,100{}\mathrm{i}\right)\,1{}\mathrm{i}}{240}-\frac{\sqrt{24}\,\ln\left(x-\sqrt{6}\,2{}\mathrm{i}\right)\,\left(25+\sqrt{24}\,20{}\mathrm{i}\right)\,1{}\mathrm{i}}{48}-\frac{\sqrt{24}\,\ln\left(x+\sqrt{24}\,1{}\mathrm{i}\right)\,\left(-25+\sqrt{24}\,20{}\mathrm{i}\right)\,1{}\mathrm{i}}{48}","Not used",1,"5*asin(x) - x - 4*(1 - x^2)^(1/2) - (24^(1/2)*log(((2*6^(1/2)*x)/5 + (1 - x^2)^(1/2)*1i + 1i/5)/(x - 6^(1/2)*2i))*(24^(1/2)*100i + 125)*1i)/240 - (24^(1/2)*log(((1 - x^2)^(1/2)*1i - (24^(1/2)*x)/5 + 1i/5)/(x + 24^(1/2)*1i))*(24^(1/2)*100i - 125)*1i)/240 - (24^(1/2)*log(x - 6^(1/2)*2i)*(24^(1/2)*20i + 25)*1i)/48 - (24^(1/2)*log(x + 24^(1/2)*1i)*(24^(1/2)*20i - 25)*1i)/48","B"
260,1,216,136,0.615024,"\text{Not used}","int(-(x^2*((x^2 + 1)^(1/2) - 2))/((x^2 + 1)^(1/2)*((x^2 + 1)^(3/2) - x^3 + 1)),x)","\frac{8\,x}{9}-\frac{41\,\mathrm{asinh}\left(x\right)}{54}-\left(\frac{x}{6}-\frac{8}{9}\right)\,\sqrt{x^2+1}-\frac{x^2}{6}+\frac{\sqrt{2}\,\ln\left(x+\frac{1}{3}-\frac{\sqrt{2}\,2{}\mathrm{i}}{3}\right)\,\left(-\frac{16}{27}+\frac{\sqrt{2}\,14{}\mathrm{i}}{27}\right)\,1{}\mathrm{i}}{8}+\frac{\sqrt{2}\,\ln\left(x+\frac{1}{3}+\frac{\sqrt{2}\,2{}\mathrm{i}}{3}\right)\,\left(\frac{16}{27}+\frac{\sqrt{2}\,14{}\mathrm{i}}{27}\right)\,1{}\mathrm{i}}{8}+\frac{\sqrt{2}\,\left(\frac{4}{81}+\frac{\sqrt{2}\,44{}\mathrm{i}}{81}\right)\,\left(\ln\left(x+\frac{1}{3}+\frac{\sqrt{2}\,2{}\mathrm{i}}{3}\right)-\ln\left(1+\left(\frac{2}{3}+\frac{\sqrt{2}\,1{}\mathrm{i}}{3}\right)\,\sqrt{x^2+1}-\frac{x}{3}-\frac{\sqrt{2}\,x\,2{}\mathrm{i}}{3}\right)\right)\,1{}\mathrm{i}}{8\,\sqrt{{\left(\frac{1}{3}+\frac{\sqrt{2}\,2{}\mathrm{i}}{3}\right)}^2+1}}+\frac{\sqrt{2}\,\left(-\frac{4}{81}+\frac{\sqrt{2}\,44{}\mathrm{i}}{81}\right)\,\left(\ln\left(x+\frac{1}{3}-\frac{\sqrt{2}\,2{}\mathrm{i}}{3}\right)-\ln\left(1-\left(-\frac{2}{3}+\frac{\sqrt{2}\,1{}\mathrm{i}}{3}\right)\,\sqrt{x^2+1}-\frac{x}{3}+\frac{\sqrt{2}\,x\,2{}\mathrm{i}}{3}\right)\right)\,1{}\mathrm{i}}{8\,\sqrt{{\left(-\frac{1}{3}+\frac{\sqrt{2}\,2{}\mathrm{i}}{3}\right)}^2+1}}","Not used",1,"(8*x)/9 - (41*asinh(x))/54 - (x/6 - 8/9)*(x^2 + 1)^(1/2) - x^2/6 + (2^(1/2)*log(x - (2^(1/2)*2i)/3 + 1/3)*((2^(1/2)*14i)/27 - 16/27)*1i)/8 + (2^(1/2)*log(x + (2^(1/2)*2i)/3 + 1/3)*((2^(1/2)*14i)/27 + 16/27)*1i)/8 + (2^(1/2)*((2^(1/2)*44i)/81 + 4/81)*(log(x + (2^(1/2)*2i)/3 + 1/3) - log(((2^(1/2)*1i)/3 + 2/3)*(x^2 + 1)^(1/2) - x/3 - (2^(1/2)*x*2i)/3 + 1))*1i)/(8*(((2^(1/2)*2i)/3 + 1/3)^2 + 1)^(1/2)) + (2^(1/2)*((2^(1/2)*44i)/81 - 4/81)*(log(x - (2^(1/2)*2i)/3 + 1/3) - log((2^(1/2)*x*2i)/3 - ((2^(1/2)*1i)/3 - 2/3)*(x^2 + 1)^(1/2) - x/3 + 1))*1i)/(8*(((2^(1/2)*2i)/3 - 1/3)^2 + 1)^(1/2))","B"
261,1,56,64,0.100470,"\text{Not used}","int(x*(2*r*x - x^2)^(1/2),x)","-\frac{\sqrt{2\,r\,x-x^2}\,\left(12\,r^2+4\,r\,x-8\,x^2\right)}{24}-\frac{r^3\,\ln\left(x-r-\sqrt{x\,\left(2\,r-x\right)}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"- ((2*r*x - x^2)^(1/2)*(4*r*x + 12*r^2 - 8*x^2))/24 - (r^3*log(x - r - (x*(2*r - x))^(1/2)*1i)*1i)/2","B"
262,1,75,89,0.324547,"\text{Not used}","int(x^2*(2*r*x - x^2)^(1/2),x)","-\frac{x\,{\left(2\,r\,x-x^2\right)}^{3/2}}{4}-\frac{5\,r\,\left(\frac{\sqrt{2\,r\,x-x^2}\,\left(12\,r^2+4\,r\,x-8\,x^2\right)}{24}+\frac{r^3\,\ln\left(x-r-\sqrt{x\,\left(2\,r-x\right)}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}\right)}{4}","Not used",1,"- (x*(2*r*x - x^2)^(3/2))/4 - (5*r*(((2*r*x - x^2)^(1/2)*(4*r*x + 12*r^2 - 8*x^2))/24 + (r^3*log(x - r - (x*(2*r - x))^(1/2)*1i)*1i)/2))/4","B"
263,1,96,113,0.136506,"\text{Not used}","int(x^3*(2*r*x - x^2)^(1/2),x)","-\frac{7\,r\,\left(\frac{x\,{\left(2\,r\,x-x^2\right)}^{3/2}}{4}+\frac{5\,r\,\left(\frac{\sqrt{2\,r\,x-x^2}\,\left(12\,r^2+4\,r\,x-8\,x^2\right)}{24}+\frac{r^3\,\ln\left(x-r-\sqrt{x\,\left(2\,r-x\right)}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}\right)}{4}\right)}{5}-\frac{x^2\,{\left(2\,r\,x-x^2\right)}^{3/2}}{5}","Not used",1,"- (7*r*((x*(2*r*x - x^2)^(3/2))/4 + (5*r*(((2*r*x - x^2)^(1/2)*(4*r*x + 12*r^2 - 8*x^2))/24 + (r^3*log(x - r - (x*(2*r - x))^(1/2)*1i)*1i)/2))/4))/5 - (x^2*(2*r*x - x^2)^(3/2))/5","B"
264,0,-1,49,0.000000,"\text{Not used}","int(1/((2*x + x^2)^(1/2)*(x^2 - 1)),x)","\int \frac{1}{\sqrt{x^2+2\,x}\,\left(x^2-1\right)} \,d x","Not used",1,"int(1/((2*x + x^2)^(1/2)*(x^2 - 1)), x)","F"
265,0,-1,79,0.000000,"\text{Not used}","int((3*x - 2)/((2*x - x^2)^(1/2)*(x + 1)^3),x)","\int \frac{3\,x-2}{\sqrt{2\,x-x^2}\,{\left(x+1\right)}^3} \,d x","Not used",1,"int((3*x - 2)/((2*x - x^2)^(1/2)*(x + 1)^3), x)","F"
266,1,12,12,0.239596,"\text{Not used}","int(1/(x + x^2 + 1)^(1/2),x)","\ln\left(x+\sqrt{x^2+x+1}+\frac{1}{2}\right)","Not used",1,"log(x + (x + x^2 + 1)^(1/2) + 1/2)","B"
267,0,-1,53,0.000000,"\text{Not used}","int(x^3/(x + x^2 + 1)^(1/2),x)","\int \frac{x^3}{\sqrt{x^2+x+1}} \,d x","Not used",1,"int(x^3/(x + x^2 + 1)^(1/2), x)","F"
268,1,13,19,0.031822,"\text{Not used}","int(1/(x + x^2 + 1)^(3/2),x)","\frac{4\,\left(x+\frac{1}{2}\right)}{3\,\sqrt{x^2+x+1}}","Not used",1,"(4*(x + 1/2))/(3*(x + x^2 + 1)^(1/2))","B"
269,1,15,17,0.023755,"\text{Not used}","int(x/(x + x^2 + 1)^(3/2),x)","-\frac{2\,x+4}{3\,\sqrt{x^2+x+1}}","Not used",1,"-(2*x + 4)/(3*(x + x^2 + 1)^(1/2))","B"
270,0,-1,56,0.000000,"\text{Not used}","int(x^3/(x + x^2 + 1)^(3/2),x)","\int \frac{x^3}{{\left(x^2+x+1\right)}^{3/2}} \,d x","Not used",1,"int(x^3/(x + x^2 + 1)^(3/2), x)","F"
271,1,61,65,0.130807,"\text{Not used}","int(x^2*(x + x^2 + 1)^(1/2),x)","\frac{3\,\ln\left(x+\sqrt{x^2+x+1}+\frac{1}{2}\right)}{128}-\frac{\left(\frac{x}{2}+\frac{1}{4}\right)\,\sqrt{x^2+x+1}}{4}-\frac{5\,\left(8\,x^2+2\,x+5\right)\,\sqrt{x^2+x+1}}{192}+\frac{x\,{\left(x^2+x+1\right)}^{3/2}}{4}","Not used",1,"(3*log(x + (x + x^2 + 1)^(1/2) + 1/2))/128 - ((x/2 + 1/4)*(x + x^2 + 1)^(1/2))/4 - (5*(2*x + 8*x^2 + 5)*(x + x^2 + 1)^(1/2))/192 + (x*(x + x^2 + 1)^(3/2))/4","B"
272,1,43,55,0.213068,"\text{Not used}","int((x + x^2 + 1)^(3/2),x)","\frac{27\,\ln\left(x+\sqrt{x^2+x+1}+\frac{1}{2}\right)}{128}+\frac{\left(x+\frac{1}{2}\right)\,{\left(x^2+x+1\right)}^{3/2}}{4}+\frac{9\,\left(\frac{x}{2}+\frac{1}{4}\right)\,\sqrt{x^2+x+1}}{16}","Not used",1,"(27*log(x + (x + x^2 + 1)^(1/2) + 1/2))/128 + ((x + 1/2)*(x + x^2 + 1)^(3/2))/4 + (9*(x/2 + 1/4)*(x + x^2 + 1)^(1/2))/16","B"
273,1,56,74,0.074869,"\text{Not used}","int((x + x^2 + 1)^(5/2),x)","\frac{135\,\ln\left(x+\sqrt{x^2+x+1}+\frac{1}{2}\right)}{1024}+\frac{5\,\left(x+\frac{1}{2}\right)\,{\left(x^2+x+1\right)}^{3/2}}{32}+\frac{\left(x+\frac{1}{2}\right)\,{\left(x^2+x+1\right)}^{5/2}}{6}+\frac{45\,\left(\frac{x}{2}+\frac{1}{4}\right)\,\sqrt{x^2+x+1}}{128}","Not used",1,"(135*log(x + (x + x^2 + 1)^(1/2) + 1/2))/1024 + (5*(x + 1/2)*(x + x^2 + 1)^(3/2))/32 + ((x + 1/2)*(x + x^2 + 1)^(5/2))/6 + (45*(x/2 + 1/4)*(x + x^2 + 1)^(1/2))/128","B"
274,1,31,38,0.027890,"\text{Not used}","int(1/(x^2*(x + x^2 + 1)^(1/2)),x)","\frac{\mathrm{atanh}\left(\frac{\frac{x}{2}+1}{\sqrt{x^2+x+1}}\right)}{2}-\frac{\sqrt{x^2+x+1}}{x}","Not used",1,"atanh((x/2 + 1)/(x + x^2 + 1)^(1/2))/2 - (x + x^2 + 1)^(1/2)/x","B"
275,0,-1,57,0.000000,"\text{Not used}","int(1/(x^3*(x + x^2 + 1)^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{x^2+x+1}} \,d x","Not used",1,"int(1/(x^3*(x + x^2 + 1)^(1/2)), x)","F"
276,0,-1,62,0.000000,"\text{Not used}","int(1/(x^2*(x + x^2 + 1)^(3/2)),x)","\int \frac{1}{x^2\,{\left(x^2+x+1\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(x + x^2 + 1)^(3/2)), x)","F"
277,0,-1,79,0.000000,"\text{Not used}","int(1/(x^3*(x + x^2 + 1)^(3/2)),x)","\int \frac{1}{x^3\,{\left(x^2+x+1\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(x + x^2 + 1)^(3/2)), x)","F"
278,0,-1,22,0.000000,"\text{Not used}","int(1/((x + 1)*(x + x^2 + 1)^(1/2)),x)","\int \frac{1}{\left(x+1\right)\,\sqrt{x^2+x+1}} \,d x","Not used",1,"int(1/((x + 1)*(x + x^2 + 1)^(1/2)), x)","F"
279,0,-1,86,0.000000,"\text{Not used}","int(-1/((x - x^3)*(2*x + x^2 + 4)^(1/2)),x)","-\int \frac{1}{\left(x-x^3\right)\,\sqrt{x^2+2\,x+4}} \,d x","Not used",1,"-int(1/((x - x^3)*(2*x + x^2 + 4)^(1/2)), x)","F"
280,0,-1,62,0.000000,"\text{Not used}","int((2*x + x^2 + 4)^(1/2)/(x - 1)^2,x)","\int \frac{\sqrt{x^2+2\,x+4}}{{\left(x-1\right)}^2} \,d x","Not used",1,"int((2*x + x^2 + 4)^(1/2)/(x - 1)^2, x)","F"
281,0,-1,76,0.000000,"\text{Not used}","int((2*x + 3)/((2*x + x^2 + 3)^2*(2*x + x^2 + 4)^(1/2)),x)","\int \frac{2\,x+3}{{\left(x^2+2\,x+3\right)}^2\,\sqrt{x^2+2\,x+4}} \,d x","Not used",1,"int((2*x + 3)/((2*x + x^2 + 3)^2*(2*x + x^2 + 4)^(1/2)), x)","F"
282,1,19,36,0.268763,"\text{Not used}","int((3*x^2 + 2*x^3)/((x + 2*x^2 - 3)*(2*x + x^2 - 3)^(1/2)),x)","\frac{\left(x-\frac{3}{2}\right)\,\sqrt{x^2+2\,x-3}}{x-1}","Not used",1,"((x - 3/2)*(2*x + x^2 - 3)^(1/2))/(x - 1)","B"
283,0,-1,87,0.000000,"\text{Not used}","int((x^4 + 1)/((x + x^2 + 1)*(x + x^2 + 2)^(1/2)),x)","\int \frac{x^4+1}{\left(x^2+x+1\right)\,\sqrt{x^2+x+2}} \,d x","Not used",1,"int((x^4 + 1)/((x + x^2 + 1)*(x + x^2 + 2)^(1/2)), x)","F"
284,1,69,58,0.229314,"\text{Not used}","int(1/(2*x + x^2 + 4)^(7/2),x)","\frac{51\,x+8\,x\,{\left(x^2+2\,x+4\right)}^2+8\,{\left(x^2+2\,x+4\right)}^2+12\,x^2+12\,x\,\left(x^2+2\,x+4\right)+75}{{\left(x^2+2\,x+4\right)}^{3/2}\,\left(405\,x^2+810\,x+1620\right)}","Not used",1,"(51*x + 8*x*(2*x + x^2 + 4)^2 + 8*(2*x + x^2 + 4)^2 + 12*x^2 + 12*x*(2*x + x^2 + 4) + 75)/((2*x + x^2 + 4)^(3/2)*(810*x + 405*x^2 + 1620))","B"
285,1,29,47,0.054746,"\text{Not used}","int(1/(8*x + 3*x^2 + 1)^(5/2),x)","\frac{\left(12\,x+16\right)\,\left(72\,x^2+192\,x-28\right)}{8112\,{\left(3\,x^2+8\,x+1\right)}^{3/2}}","Not used",1,"((12*x + 16)*(192*x + 72*x^2 - 28))/(8112*(8*x + 3*x^2 + 1)^(3/2))","B"
286,1,29,47,0.203991,"\text{Not used}","int(1/(4*x - 3*x^2 + 5)^(5/2),x)","\frac{\left(12\,x-8\right)\,\left(-72\,x^2+96\,x+196\right)}{17328\,{\left(-3\,x^2+4\,x+5\right)}^{3/2}}","Not used",1,"((12*x - 8)*(96*x - 72*x^2 + 196))/(17328*(4*x - 3*x^2 + 5)^(3/2))","B"
287,0,-1,29,0.000000,"\text{Not used}","int(1/((2*x + x^2 + 2)^(1/2) + 1),x)","\frac{1}{x+1}+\int \frac{\sqrt{x^2+2\,x+2}}{{\left(x+1\right)}^2} \,d x","Not used",1,"1/(x + 1) + int((2*x + x^2 + 2)^(1/2)/(x + 1)^2, x)","F"
288,0,-1,45,0.000000,"\text{Not used}","int(1/(x + (x + x^2 + 1)^(1/2)),x)","\ln\left(x+1\right)-x+\int \frac{\sqrt{x^2+x+1}}{x+1} \,d x","Not used",1,"log(x + 1) - x + int((x + x^2 + 1)^(1/2)/(x + 1), x)","F"
289,1,71,79,0.071129,"\text{Not used}","int(x^2/(2*x + 2*(x + x^2 + 1)^(1/2) + 1),x)","\frac{\ln\left(x+\sqrt{x^2+x+1}+\frac{1}{2}\right)}{64}-\frac{\left(\frac{x}{2}+\frac{1}{4}\right)\,\sqrt{x^2+x+1}}{6}-\frac{x^3}{9}-\frac{x^4}{6}-\frac{5\,\left(8\,x^2+2\,x+5\right)\,\sqrt{x^2+x+1}}{288}+\frac{x\,{\left(x^2+x+1\right)}^{3/2}}{6}","Not used",1,"log(x + (x + x^2 + 1)^(1/2) + 1/2)/64 - ((x/2 + 1/4)*(x + x^2 + 1)^(1/2))/6 - x^3/9 - x^4/6 - (5*(2*x + 8*x^2 + 5)*(x + x^2 + 1)^(1/2))/288 + (x*(x + x^2 + 1)^(3/2))/6","B"
290,0,-1,80,0.000000,"\text{Not used}","int(-(3*x - (x + x^2 + 1)^(1/2))/((x + x^2 + 1)^(1/2) - 1),x)","x-4\,\ln\left(x+1\right)+\ln\left(x\right)-\int \frac{\left(3\,x-1\right)\,\sqrt{x^2+x+1}}{x\,\left(x+1\right)} \,d x","Not used",1,"x - 4*log(x + 1) + log(x) - int(((3*x - 1)*(x + x^2 + 1)^(1/2))/(x*(x + 1)), x)","F"
291,0,-1,158,0.000000,"\text{Not used}","int(-(x + 1)/((x + x^2 + 1)^(1/2) - (2*x + x^2 + 4)^(1/2)),x)","\int -\frac{x+1}{\sqrt{x^2+x+1}-\sqrt{x^2+2\,x+4}} \,d x","Not used",1,"int(-(x + 1)/((x + x^2 + 1)^(1/2) - (2*x + x^2 + 4)^(1/2)), x)","F"
292,1,29,41,0.043541,"\text{Not used}","int(1/(x^3*(x - 1)^(1/2)),x)","\frac{3\,\mathrm{atan}\left(\sqrt{x-1}\right)}{4}+\frac{3\,\sqrt{x-1}}{4\,x}+\frac{\sqrt{x-1}}{2\,x^2}","Not used",1,"(3*atan((x - 1)^(1/2)))/4 + (3*(x - 1)^(1/2))/(4*x) + (x - 1)^(1/2)/(2*x^2)","B"
293,1,11,13,0.459587,"\text{Not used}","int(1/(x^2*(1 - 3/x)^(4/3)),x)","-\frac{1}{{\left(1-\frac{3}{x}\right)}^{1/3}}","Not used",1,"-1/(1 - 3/x)^(1/3)","B"
294,1,90,71,0.211371,"\text{Not used}","int((3*x - 1)^(4/3)/x^2,x)","9\,{\left(3\,x-1\right)}^{1/3}-4\,\ln\left(144\,{\left(3\,x-1\right)}^{1/3}+144\right)+\frac{{\left(3\,x-1\right)}^{1/3}}{x}+\ln\left(18-36\,{\left(3\,x-1\right)}^{1/3}+\sqrt{3}\,18{}\mathrm{i}\right)\,\left(2+\sqrt{3}\,2{}\mathrm{i}\right)-\ln\left(36\,{\left(3\,x-1\right)}^{1/3}-18+\sqrt{3}\,18{}\mathrm{i}\right)\,\left(-2+\sqrt{3}\,2{}\mathrm{i}\right)","Not used",1,"9*(3*x - 1)^(1/3) - 4*log(144*(3*x - 1)^(1/3) + 144) + (3*x - 1)^(1/3)/x + log(3^(1/2)*18i - 36*(3*x - 1)^(1/3) + 18)*(3^(1/2)*2i + 2) - log(3^(1/2)*18i + 36*(3*x - 1)^(1/3) - 18)*(3^(1/2)*2i - 2)","B"
295,1,23,40,0.200506,"\text{Not used}","int(x^2*(4 - 3*x)^(4/3),x)","-\frac{{\left(4-3\,x\right)}^{7/3}\,\left(1092\,x+35\,{\left(3\,x-4\right)}^2-416\right)}{4095}","Not used",1,"-((4 - 3*x)^(7/3)*(1092*x + 35*(3*x - 4)^2 - 416))/4095","B"
296,1,36,48,0.867068,"\text{Not used}","int((1 - 2*x^(1/3))^(3/4)/x,x)","6\,\mathrm{atan}\left({\left(1-2\,x^{1/3}\right)}^{1/4}\right)-6\,\mathrm{atanh}\left({\left(1-2\,x^{1/3}\right)}^{1/4}\right)+4\,{\left(1-2\,x^{1/3}\right)}^{3/4}","Not used",1,"6*atan((1 - 2*x^(1/3))^(1/4)) - 6*atanh((1 - 2*x^(1/3))^(1/4)) + 4*(1 - 2*x^(1/3))^(3/4)","B"
297,1,45,69,0.299991,"\text{Not used}","int(x/(3 - 2*x^(1/2))^(3/4),x)","\frac{27\,{\left(3-2\,\sqrt{x}\right)}^{5/4}}{10}-\frac{27\,{\left(3-2\,\sqrt{x}\right)}^{1/4}}{2}-\frac{{\left(3-2\,\sqrt{x}\right)}^{9/4}}{2}+\frac{{\left(3-2\,\sqrt{x}\right)}^{13/4}}{26}","Not used",1,"(27*(3 - 2*x^(1/2))^(5/4))/10 - (27*(3 - 2*x^(1/2))^(1/4))/2 - (3 - 2*x^(1/2))^(9/4)/2 + (3 - 2*x^(1/2))^(13/4)/26","B"
298,1,77,193,1.277923,"\text{Not used}","int((2*x^(1/2) - 1)^(5/4)/x^2,x)","-\frac{5\,{\left(2\,\sqrt{x}-1\right)}^{1/4}}{4\,x}-\frac{9\,{\left(2\,\sqrt{x}-1\right)}^{5/4}}{4\,x}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(2\,\sqrt{x}-1\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{5}{4}+\frac{5}{4}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(2\,\sqrt{x}-1\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{5}{4}-\frac{5}{4}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*(2*x^(1/2) - 1)^(1/4)*(1/2 - 1i/2))*(5/4 + 5i/4) - (9*(2*x^(1/2) - 1)^(5/4))/(4*x) - (5*(2*x^(1/2) - 1)^(1/4))/(4*x) + 2^(1/2)*atan(2^(1/2)*(2*x^(1/2) - 1)^(1/4)*(1/2 + 1i/2))*(5/4 - 5i/4)","B"
299,1,9,13,0.290845,"\text{Not used}","int(x^6*(x^7 + 1)^(1/3),x)","\frac{3\,{\left(x^7+1\right)}^{4/3}}{28}","Not used",1,"(3*(x^7 + 1)^(4/3))/28","B"
300,1,9,13,0.319254,"\text{Not used}","int(x^6/(x^7 + 1)^(5/3),x)","-\frac{3}{14\,{\left(x^7+1\right)}^{2/3}}","Not used",1,"-3/(14*(x^7 + 1)^(2/3))","B"
301,1,76,59,0.455211,"\text{Not used}","int(1/(x*(2*x^7 - 27)^(2/3)),x)","\frac{\ln\left(\frac{{\left(2\,x^7-27\right)}^{1/3}}{49}+\frac{3}{49}\right)}{63}-\ln\left(\frac{27}{14}-\frac{9\,{\left(2\,x^7-27\right)}^{1/3}}{7}+\frac{\sqrt{3}\,27{}\mathrm{i}}{14}\right)\,\left(\frac{1}{126}+\frac{\sqrt{3}\,1{}\mathrm{i}}{126}\right)+\ln\left(\frac{9\,{\left(2\,x^7-27\right)}^{1/3}}{7}-\frac{27}{14}+\frac{\sqrt{3}\,27{}\mathrm{i}}{14}\right)\,\left(-\frac{1}{126}+\frac{\sqrt{3}\,1{}\mathrm{i}}{126}\right)","Not used",1,"log((2*x^7 - 27)^(1/3)/49 + 3/49)/63 - log((3^(1/2)*27i)/14 - (9*(2*x^7 - 27)^(1/3))/7 + 27/14)*((3^(1/2)*1i)/126 + 1/126) + log((3^(1/2)*27i)/14 + (9*(2*x^7 - 27)^(1/3))/7 - 27/14)*((3^(1/2)*1i)/126 - 1/126)","B"
302,1,92,70,0.367161,"\text{Not used}","int((x^7 + 1)^(2/3)/x^8,x)","\frac{2\,\ln\left(\frac{4\,{\left(x^7+1\right)}^{1/3}}{49}-\frac{4}{49}\right)}{21}+\ln\left(\frac{4\,{\left(x^7+1\right)}^{1/3}}{49}-9\,{\left(-\frac{1}{21}+\frac{\sqrt{3}\,1{}\mathrm{i}}{21}\right)}^2\right)\,\left(-\frac{1}{21}+\frac{\sqrt{3}\,1{}\mathrm{i}}{21}\right)-\ln\left(\frac{4\,{\left(x^7+1\right)}^{1/3}}{49}-9\,{\left(\frac{1}{21}+\frac{\sqrt{3}\,1{}\mathrm{i}}{21}\right)}^2\right)\,\left(\frac{1}{21}+\frac{\sqrt{3}\,1{}\mathrm{i}}{21}\right)-\frac{{\left(x^7+1\right)}^{2/3}}{7\,x^7}","Not used",1,"(2*log((4*(x^7 + 1)^(1/3))/49 - 4/49))/21 + log((4*(x^7 + 1)^(1/3))/49 - 9*((3^(1/2)*1i)/21 - 1/21)^2)*((3^(1/2)*1i)/21 - 1/21) - log((4*(x^7 + 1)^(1/3))/49 - 9*((3^(1/2)*1i)/21 + 1/21)^2)*((3^(1/2)*1i)/21 + 1/21) - (x^7 + 1)^(2/3)/(7*x^7)","B"
303,1,18,68,0.423456,"\text{Not used}","int((4*x^4 + 3)^(1/4)/x^2,x)","-\frac{3^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},-\frac{1}{4};\ \frac{3}{4};\ -\frac{4\,x^4}{3}\right)}{x}","Not used",1,"-(3^(1/4)*hypergeom([-1/4, -1/4], 3/4, -(4*x^4)/3))/x","B"
304,0,-1,93,0.000000,"\text{Not used}","int(x^2*(4*x^4 + 3)^(5/4),x)","\int x^2\,{\left(4\,x^4+3\right)}^{5/4} \,d x","Not used",1,"int(x^2*(4*x^4 + 3)^(5/4), x)","F"
305,0,-1,93,0.000000,"\text{Not used}","int(x^6*(4*x^4 + 3)^(1/4),x)","\int x^6\,{\left(4\,x^4+3\right)}^{1/4} \,d x","Not used",1,"int(x^6*(4*x^4 + 3)^(1/4), x)","F"
306,1,29,93,0.370127,"\text{Not used}","int((-x*(x^2 - 1))^(1/3),x)","\frac{3\,x\,{\left(x-x^3\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},\frac{2}{3};\ \frac{5}{3};\ x^2\right)}{4\,{\left(1-x^2\right)}^{1/3}}","Not used",1,"(3*x*(x - x^3)^(1/3)*hypergeom([-1/3, 2/3], 5/3, x^2))/(4*(1 - x^2)^(1/3))","B"
307,1,27,126,0.285782,"\text{Not used}","int((x*(x^(1/3) + 1))^(1/2),x)","\frac{2\,x\,\sqrt{x+x^{4/3}}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{9}{2};\ \frac{11}{2};\ -x^{1/3}\right)}{3\,\sqrt{x^{1/3}+1}}","Not used",1,"(2*x*(x + x^(4/3))^(1/2)*hypergeom([-1/2, 9/2], 11/2, -x^(1/3)))/(3*(x^(1/3) + 1)^(1/2))","B"
308,1,35,34,0.515049,"\text{Not used}","int(x^3/((x^4 - 1)*(2*x^8 + 1)^(1/2)),x)","-\frac{\sqrt{3}\,\left(\ln\left(x^4+\frac{\sqrt{2}\,\sqrt{3}\,\sqrt{x^8+\frac{1}{2}}}{2}+\frac{1}{2}\right)-\ln\left(x^4-1\right)\right)}{12}","Not used",1,"-(3^(1/2)*(log(x^4 + (2^(1/2)*3^(1/2)*(x^8 + 1/2)^(1/2))/2 + 1/2) - log(x^4 - 1)))/12","B"
309,1,43,58,0.292027,"\text{Not used}","int(x^9*(x^5 + x^10 + 1)^(1/2),x)","\frac{\sqrt{x^{10}+x^5+1}\,\left(8\,x^{10}+2\,x^5+5\right)}{120}-\frac{3\,\ln\left(\sqrt{x^{10}+x^5+1}+x^5+\frac{1}{2}\right)}{80}","Not used",1,"((x^5 + x^10 + 1)^(1/2)*(2*x^5 + 8*x^10 + 5))/120 - (3*log((x^5 + x^10 + 1)^(1/2) + x^5 + 1/2))/80","B"
310,0,-1,71,0.000000,"\text{Not used}","int(1/(x^5*(2*x^2 + x^4 + 4)^(1/2)),x)","\int \frac{1}{x^5\,\sqrt{x^4+2\,x^2+4}} \,d x","Not used",1,"int(1/(x^5*(2*x^2 + x^4 + 4)^(1/2)), x)","F"
311,1,49,21,0.814559,"\text{Not used}","int((x^2 - 1)/(x*(3*x^2 + x^4 + 1)^(1/2)),x)","\frac{\ln\left(\frac{1}{x^2}\right)}{2}+\frac{\ln\left(\sqrt{x^4+3\,x^2+1}+x^2+\frac{3}{2}\right)}{2}+\frac{\ln\left(\frac{2\,\sqrt{x^4+3\,x^2+1}}{3}+x^2+\frac{2}{3}\right)}{2}","Not used",1,"log(1/x^2)/2 + log((3*x^2 + x^4 + 1)^(1/2) + x^2 + 3/2)/2 + log((2*(3*x^2 + x^4 + 1)^(1/2))/3 + x^2 + 2/3)/2","B"
312,1,21,17,0.279019,"\text{Not used}","int(-(3*x - 2*x^3)*(x^4 - 3*x^2)^(3/5),x)","\frac{5\,x^2\,\left(x^2-3\right)\,{\left(x^4-3\,x^2\right)}^{3/5}}{16}","Not used",1,"(5*x^2*(x^2 - 3)*(x^4 - 3*x^2)^(3/5))/16","B"
313,1,34,46,0.373322,"\text{Not used}","int(-(x^2*(3*x^3 - 1)^(2/3) + 2*x^5 - 3*x^8)/(3*x^3 - 1)^(3/4),x)","-{\left(3\,x^3-1\right)}^{1/4}\,\left(\frac{8\,x^3}{81}-\frac{4\,x^6}{27}+\frac{4\,{\left(3\,x^3-1\right)}^{2/3}}{33}+\frac{32}{243}\right)","Not used",1,"-(3*x^3 - 1)^(1/4)*((8*x^3)/81 - (4*x^6)/27 + (4*(3*x^3 - 1)^(2/3))/33 + 32/243)","B"
314,0,-1,78,0.000000,"\text{Not used}","int(1/((x^3 - 1)*(x^3 + 2)^(1/3)),x)","\int \frac{1}{\left(x^3-1\right)\,{\left(x^3+2\right)}^{1/3}} \,d x","Not used",1,"int(1/((x^3 - 1)*(x^3 + 2)^(1/3)), x)","F"
315,0,-1,141,0.000000,"\text{Not used}","int(1/((x^4 + 1)*(x^4 + 2)^(1/4)),x)","\int \frac{1}{\left(x^4+1\right)\,{\left(x^4+2\right)}^{1/4}} \,d x","Not used",1,"int(1/((x^4 + 1)*(x^4 + 2)^(1/4)), x)","F"
316,0,-1,63,0.000000,"\text{Not used}","int((x^3 - 1)/(x^3 + 2)^(1/3),x)","\int \frac{x^3-1}{{\left(x^3+2\right)}^{1/3}} \,d x","Not used",1,"int((x^3 - 1)/(x^3 + 2)^(1/3), x)","F"
317,0,-1,74,0.000000,"\text{Not used}","int((x^4 + 1)^(3/4)/(x^4 + 2)^2,x)","\int \frac{{\left(x^4+1\right)}^{3/4}}{{\left(x^4+2\right)}^2} \,d x","Not used",1,"int((x^4 + 1)^(3/4)/(x^4 + 2)^2, x)","F"
318,1,23,48,0.261856,"\text{Not used}","int((x^5 - 2)^2/(x^5 + 3)^(16/5),x)","\frac{97\,x^{11}+462\,x^6+1188\,x}{891\,{\left(x^5+3\right)}^{11/5}}","Not used",1,"(1188*x + 462*x^6 + 97*x^11)/(891*(x^5 + 3)^(11/5))","B"
319,0,-1,90,0.000000,"\text{Not used}","int(1/((3*x + 3*x^2 + x^3)*(3*x + 3*x^2 + x^3 + 3)^(1/3)),x)","\int \frac{1}{\left(x^3+3\,x^2+3\,x\right)\,{\left(x^3+3\,x^2+3\,x+3\right)}^{1/3}} \,d x","Not used",1,"int(1/((3*x + 3*x^2 + x^3)*(3*x + 3*x^2 + x^3 + 3)^(1/3)), x)","F"
320,0,-1,23,0.000000,"\text{Not used}","int(-(x^2 - 1)/((x^2 + 1)*(x^4 + 1)^(1/2)),x)","-\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{x^4+1}} \,d x","Not used",1,"-int((x^2 - 1)/((x^2 + 1)*(x^4 + 1)^(1/2)), x)","F"
321,0,-1,23,0.000000,"\text{Not used}","int(-(x^2 + 1)/((x^2 - 1)*(x^4 + 1)^(1/2)),x)","\int -\frac{x^2+1}{\left(x^2-1\right)\,\sqrt{x^4+1}} \,d x","Not used",1,"int(-(x^2 + 1)/((x^2 - 1)*(x^4 + 1)^(1/2)), x)","F"
322,1,17,16,0.152170,"\text{Not used}","int((x^2 + 1)/(x*(x^4 + 1)^(1/2)),x)","\frac{\mathrm{asinh}\left(x^2\right)}{2}-\frac{\mathrm{atanh}\left(\sqrt{x^4+1}\right)}{2}","Not used",1,"asinh(x^2)/2 - atanh((x^4 + 1)^(1/2))/2","B"
323,1,17,16,0.234002,"\text{Not used}","int((x^2 - 1)/(x*(x^4 + 1)^(1/2)),x)","\frac{\mathrm{asinh}\left(x^2\right)}{2}+\frac{\mathrm{atanh}\left(\sqrt{x^4+1}\right)}{2}","Not used",1,"asinh(x^2)/2 + atanh((x^4 + 1)^(1/2))/2","B"
324,0,-1,26,0.000000,"\text{Not used}","int(-(x^2 + 1)/((x^2 - 1)*(x^2 + x^4 + 1)^(1/2)),x)","\int -\frac{x^2+1}{\left(x^2-1\right)\,\sqrt{x^4+x^2+1}} \,d x","Not used",1,"int(-(x^2 + 1)/((x^2 - 1)*(x^2 + x^4 + 1)^(1/2)), x)","F"
325,0,-1,15,0.000000,"\text{Not used}","int(-(x^2 - 1)/((x^2 + 1)*(x^2 + x^4 + 1)^(1/2)),x)","-\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{x^4+x^2+1}} \,d x","Not used",1,"-int((x^2 - 1)/((x^2 + 1)*(x^2 + x^4 + 1)^(1/2)), x)","F"
326,1,14,16,0.057569,"\text{Not used}","int((x^4 - 1)/(x^2*(x^2 + x^4 + 1)^(1/2)),x)","\frac{\sqrt{x^4+x^2+1}}{x}","Not used",1,"(x^2 + x^4 + 1)^(1/2)/x","B"
327,0,-1,74,0.000000,"\text{Not used}","int(-(x^2 - 1)/((2*a*x + x^2 + 1)*(2*a*x + 2*a*x^3 + 2*b*x^2 + x^4 + 1)^(1/2)),x)","-\int \frac{x^2-1}{\left(x^2+2\,a\,x+1\right)\,\sqrt{x^4+2\,a\,x^3+2\,b\,x^2+2\,a\,x+1}} \,d x","Not used",1,"-int((x^2 - 1)/((2*a*x + x^2 + 1)*(2*a*x + 2*a*x^3 + 2*b*x^2 + x^4 + 1)^(1/2)), x)","F"
328,0,-1,22,0.000000,"\text{Not used}","int(1/(((x^4 + 1)^(1/2) - x^2)^(1/2)*(x^4 + 1)),x)","\int \frac{1}{\sqrt{\sqrt{x^4+1}-x^2}\,\left(x^4+1\right)} \,d x","Not used",1,"int(1/(((x^4 + 1)^(1/2) - x^2)^(1/2)*(x^4 + 1)), x)","F"
329,0,-1,24,0.000000,"\text{Not used}","int(1/((x^(2*n) + 1)*((x^(2*n) + 1)^(1/n) - x^2)^(1/2)),x)","\int \frac{1}{\left(x^{2\,n}+1\right)\,\sqrt{{\left(x^{2\,n}+1\right)}^{1/n}-x^2}} \,d x","Not used",1,"int(1/((x^(2*n) + 1)*((x^(2*n) + 1)^(1/n) - x^2)^(1/2)), x)","F"
330,1,10,14,0.184893,"\text{Not used}","int(cos(x)^2,x)","\frac{x}{2}+\frac{\sin\left(2\,x\right)}{4}","Not used",1,"x/2 + sin(2*x)/4","B"
331,1,9,11,0.034653,"\text{Not used}","int(cos(x)^3,x)","\sin\left(x\right)-\frac{{\sin\left(x\right)}^3}{3}","Not used",1,"sin(x) - sin(x)^3/3","B"
332,1,16,24,0.032136,"\text{Not used}","int(sin(x)^4,x)","\frac{3\,x}{8}-\frac{\sin\left(2\,x\right)}{4}+\frac{\sin\left(4\,x\right)}{32}","Not used",1,"(3*x)/8 - sin(2*x)/4 + sin(4*x)/32","B"
333,1,22,34,0.038483,"\text{Not used}","int(cos(x)^6,x)","\frac{5\,x}{16}+\frac{15\,\sin\left(2\,x\right)}{64}+\frac{3\,\sin\left(4\,x\right)}{64}+\frac{\sin\left(6\,x\right)}{192}","Not used",1,"(5*x)/16 + (15*sin(2*x))/64 + (3*sin(4*x))/64 + sin(6*x)/192","B"
334,1,28,44,0.027213,"\text{Not used}","int(sin(x)^8,x)","\frac{35\,x}{128}-\frac{7\,\sin\left(2\,x\right)}{32}+\frac{7\,\sin\left(4\,x\right)}{128}-\frac{\sin\left(6\,x\right)}{96}+\frac{\sin\left(8\,x\right)}{1024}","Not used",1,"(35*x)/128 - (7*sin(2*x))/32 + (7*sin(4*x))/128 - sin(6*x)/96 + sin(8*x)/1024","B"
335,1,20,20,0.273011,"\text{Not used}","int(cos(Pi/4 + x/2)^4,x)","\frac{3\,x}{8}+\frac{\sin\left(\Pi +2\,x\right)}{16}+\frac{\sin\left(\frac{\Pi }{2}+x\right)}{2}","Not used",1,"(3*x)/8 + sin(Pi + 2*x)/16 + sin(Pi/2 + x)/2","B"
336,1,22,31,0.254129,"\text{Not used}","int(-cos((5*Pi)/12 + 3*x)^3,x)","\frac{\sin\left(\frac{5\,\Pi }{12}+3\,x\right)\,\left({\sin\left(\frac{5\,\Pi }{12}+3\,x\right)}^2-3\right)}{9}","Not used",1,"(sin((5*Pi)/12 + 3*x)*(sin((5*Pi)/12 + 3*x)^2 - 3))/9","B"
337,1,27,21,0.196017,"\text{Not used}","int(1/sin(x)^6,x)","-\frac{8\,\cos\left(x\right)\,{\sin\left(x\right)}^4+4\,\cos\left(x\right)\,{\sin\left(x\right)}^2+3\,\cos\left(x\right)}{15\,{\sin\left(x\right)}^5}","Not used",1,"-(3*cos(x) + 4*cos(x)*sin(x)^2 + 8*cos(x)*sin(x)^4)/(15*sin(x)^5)","B"
338,1,44,36,0.248517,"\text{Not used}","int(1/sin(x)^7,x)","\frac{\frac{5\,{\cos\left(x\right)}^5}{16}-\frac{5\,{\cos\left(x\right)}^3}{6}+\frac{11\,\cos\left(x\right)}{16}}{{\cos\left(x\right)}^6-3\,{\cos\left(x\right)}^4+3\,{\cos\left(x\right)}^2-1}-\frac{5\,\mathrm{atanh}\left(\cos\left(x\right)\right)}{16}","Not used",1,"((11*cos(x))/16 - (5*cos(x)^3)/6 + (5*cos(x)^5)/16)/(3*cos(x)^2 - 3*cos(x)^4 + cos(x)^6 - 1) - (5*atanh(cos(x)))/16","B"
339,1,51,41,0.212606,"\text{Not used}","int(1/cos(x)^12,x)","\frac{256\,\sin\left(x\right)\,{\cos\left(x\right)}^{10}+128\,\sin\left(x\right)\,{\cos\left(x\right)}^8+96\,\sin\left(x\right)\,{\cos\left(x\right)}^6+80\,\sin\left(x\right)\,{\cos\left(x\right)}^4+70\,\sin\left(x\right)\,{\cos\left(x\right)}^2+63\,\sin\left(x\right)}{693\,{\cos\left(x\right)}^{11}}","Not used",1,"(63*sin(x) + 70*cos(x)^2*sin(x) + 80*cos(x)^4*sin(x) + 96*cos(x)^6*sin(x) + 128*cos(x)^8*sin(x) + 256*cos(x)^10*sin(x))/(693*cos(x)^11)","B"
340,1,35,40,0.621014,"\text{Not used}","int(1/cos(Pi/4 + 3*x)^3,x)","\frac{\ln\left(\mathrm{tan}\left(\frac{\Pi }{8}+\frac{3\,x}{2}+\frac{\pi }{4}\right)\right)}{6}+\frac{\mathrm{tan}\left(\frac{\Pi }{4}+3\,x\right)}{6\,\cos\left(\frac{\Pi }{4}+3\,x\right)}","Not used",1,"log(tan(Pi/8 + (3*x)/2 + pi/4))/6 + tan(Pi/4 + 3*x)/(6*cos(Pi/4 + 3*x))","B"
341,1,18,22,0.034579,"\text{Not used}","int(tan(x)^6,x)","\frac{{\mathrm{tan}\left(x\right)}^5}{5}-\frac{{\mathrm{tan}\left(x\right)}^3}{3}+\mathrm{tan}\left(x\right)-x","Not used",1,"tan(x) - x - tan(x)^3/3 + tan(x)^5/5","B"
342,1,26,20,0.270216,"\text{Not used}","int(1/tan(x)^5,x)","\ln\left(\mathrm{tan}\left(x\right)\right)-\frac{\ln\left({\mathrm{tan}\left(x\right)}^2+1\right)}{2}+\frac{\frac{{\mathrm{tan}\left(x\right)}^2}{2}-\frac{1}{4}}{{\mathrm{tan}\left(x\right)}^4}","Not used",1,"log(tan(x)) - log(tan(x)^2 + 1)/2 + (tan(x)^2/2 - 1/4)/tan(x)^4","B"
343,1,24,32,0.088479,"\text{Not used}","int(cot(Pi/4 + x/3)^4,x)","-{\mathrm{cot}\left(\frac{\Pi }{4}+\frac{x}{3}\right)}^3+3\,\mathrm{cot}\left(\frac{\Pi }{4}+\frac{x}{3}\right)+x","Not used",1,"x + 3*cot(Pi/4 + x/3) - cot(Pi/4 + x/3)^3","B"
344,1,38,56,0.042753,"\text{Not used}","int(cos(x)^6*sin(x)^4,x)","\left(\frac{{\cos\left(x\right)}^5}{10}+\frac{{\cos\left(x\right)}^3}{16}+\frac{\cos\left(x\right)}{32}\right)\,{\sin\left(x\right)}^5+\frac{3\,x}{256}-\frac{\sin\left(2\,x\right)}{128}+\frac{\sin\left(4\,x\right)}{1024}","Not used",1,"(3*x)/256 - sin(2*x)/128 + sin(4*x)/1024 + sin(x)^5*(cos(x)/32 + cos(x)^3/16 + cos(x)^5/10)","B"
345,1,25,33,0.196214,"\text{Not used}","int(cos(x)^6*sin(x)^7,x)","\frac{{\cos\left(x\right)}^{13}}{13}-\frac{3\,{\cos\left(x\right)}^{11}}{11}+\frac{{\cos\left(x\right)}^9}{3}-\frac{{\cos\left(x\right)}^7}{7}","Not used",1,"cos(x)^9/3 - cos(x)^7/7 - (3*cos(x)^11)/11 + cos(x)^13/13","B"
346,1,36,46,0.036393,"\text{Not used}","int(sin(x)^11/cos(x),x)","-\frac{{\sin\left(x\right)}^{10}}{10}-\frac{{\sin\left(x\right)}^8}{8}-\frac{{\sin\left(x\right)}^6}{6}-\frac{{\sin\left(x\right)}^4}{4}-\frac{{\sin\left(x\right)}^2}{2}-\ln\left(\cos\left(x\right)\right)","Not used",1,"- log(cos(x)) - sin(x)^2/2 - sin(x)^4/4 - sin(x)^6/6 - sin(x)^8/8 - sin(x)^10/10","B"
347,1,27,41,0.122060,"\text{Not used}","int(1/(cos(x)^6*sin(x)^6),x)","-\frac{32\,\left(\frac{\cos\left(2\,x\right)}{3}-\frac{\cos\left(6\,x\right)}{6}+\frac{\cos\left(10\,x\right)}{30}\right)}{{\sin\left(2\,x\right)}^5}","Not used",1,"-(32*(cos(2*x)/3 - cos(6*x)/6 + cos(10*x)/30))/sin(2*x)^5","B"
348,1,18,24,0.044229,"\text{Not used}","int(cos(x)^2*sin(x)^2,x)","\frac{\cos\left(x\right)\,{\sin\left(x\right)}^3}{4}-\frac{\cos\left(x\right)\,\sin\left(x\right)}{8}+\frac{x}{8}","Not used",1,"x/8 - (cos(x)*sin(x))/8 + (cos(x)*sin(x)^3)/4","B"
349,1,32,46,0.044896,"\text{Not used}","int(cos(x)^4*sin(x)^4,x)","\left(\frac{{\cos\left(x\right)}^3}{8}+\frac{\cos\left(x\right)}{16}\right)\,{\sin\left(x\right)}^5+\frac{3\,x}{128}-\frac{\sin\left(2\,x\right)}{64}+\frac{\sin\left(4\,x\right)}{512}","Not used",1,"(3*x)/128 - sin(2*x)/64 + sin(4*x)/512 + sin(x)^5*(cos(x)/16 + cos(x)^3/8)","B"
350,1,44,68,0.027787,"\text{Not used}","int(cos(x)^6*sin(x)^6,x)","\left(\frac{{\cos\left(x\right)}^5}{12}+\frac{{\cos\left(x\right)}^3}{24}+\frac{\cos\left(x\right)}{64}\right)\,{\sin\left(x\right)}^7+\frac{5\,x}{1024}-\frac{15\,\sin\left(2\,x\right)}{4096}+\frac{3\,\sin\left(4\,x\right)}{4096}-\frac{\sin\left(6\,x\right)}{12288}","Not used",1,"(5*x)/1024 - (15*sin(2*x))/4096 + (3*sin(4*x))/4096 - sin(6*x)/12288 + sin(x)^7*(cos(x)/64 + cos(x)^3/24 + cos(x)^5/12)","B"
351,1,56,90,0.035689,"\text{Not used}","int(cos(x)^8*sin(x)^8,x)","\left(\frac{{\cos\left(x\right)}^7}{16}+\frac{{\cos\left(x\right)}^5}{32}+\frac{5\,{\cos\left(x\right)}^3}{384}+\frac{\cos\left(x\right)}{256}\right)\,{\sin\left(x\right)}^9+\frac{35\,x}{32768}-\frac{7\,\sin\left(2\,x\right)}{8192}+\frac{7\,\sin\left(4\,x\right)}{32768}-\frac{\sin\left(6\,x\right)}{24576}+\frac{\sin\left(8\,x\right)}{262144}","Not used",1,"(35*x)/32768 - (7*sin(2*x))/8192 + (7*sin(4*x))/32768 - sin(6*x)/24576 + sin(8*x)/262144 + sin(x)^9*(cos(x)/256 + (5*cos(x)^3)/384 + cos(x)^5/32 + cos(x)^7/16)","B"
352,1,52,68,0.748542,"\text{Not used}","int(cos(x)^(2*m)*sin(x)^(2*m),x)","-\frac{{\cos\left(x\right)}^{2\,m+1}\,{\sin\left(x\right)}^{2\,m+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2}-m,m+\frac{1}{2};\ m+\frac{3}{2};\ {\cos\left(x\right)}^2\right)}{\left(2\,m+1\right)\,{\left({\sin\left(x\right)}^2\right)}^{m+\frac{1}{2}}}","Not used",1,"-(cos(x)^(2*m + 1)*sin(x)^(2*m + 1)*hypergeom([1/2 - m, m + 1/2], m + 3/2, cos(x)^2))/((2*m + 1)*(sin(x)^2)^(m + 1/2))","B"
353,1,24,32,0.283515,"\text{Not used}","int(1/(cos(Pi/4 + 2*x)*sin(Pi/4 + 2*x)^3),x)","\frac{\ln\left(\mathrm{tan}\left(\frac{\Pi }{4}+2\,x\right)\right)}{2}-\frac{1}{4\,{\sin\left(\frac{\Pi }{4}+2\,x\right)}^2}","Not used",1,"log(tan(Pi/4 + 2*x))/2 - 1/(4*sin(Pi/4 + 2*x)^2)","B"
354,1,6,8,0.027952,"\text{Not used}","int(tan(x)^2/cos(x)^2,x)","\frac{{\mathrm{tan}\left(x\right)}^3}{3}","Not used",1,"tan(x)^3/3","B"
355,1,11,11,0.316637,"\text{Not used}","int(cot(x)^3/sin(x),x)","\frac{{\sin\left(x\right)}^2-\frac{1}{3}}{{\sin\left(x\right)}^3}","Not used",1,"(sin(x)^2 - 1/3)/sin(x)^3","B"
356,1,6,8,0.322850,"\text{Not used}","int(tan(x)/cos(x)^3,x)","\frac{1}{3\,{\cos\left(x\right)}^3}","Not used",1,"1/(3*cos(x)^3)","B"
357,1,24,26,0.323064,"\text{Not used}","int(cot(x)^2/sin(x)^3,x)","\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^4}{64}-\frac{1}{64\,{\mathrm{tan}\left(\frac{x}{2}\right)}^4}-\frac{\ln\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)}{8}","Not used",1,"tan(x/2)^4/64 - 1/(64*tan(x/2)^4) - log(tan(x/2))/8","B"
358,1,13,17,0.067772,"\text{Not used}","int(cos(x)^3/sin(x)^7,x)","\frac{\frac{{\sin\left(x\right)}^2}{4}-\frac{1}{6}}{{\sin\left(x\right)}^6}","Not used",1,"(sin(x)^2/4 - 1/6)/sin(x)^6","B"
359,1,22,31,1.118056,"\text{Not used}","int(tan(x)^5*(1/cos(x))^(3/2),x)","\frac{2\,{\left(\frac{1}{\cos\left(x\right)}\right)}^{11/2}\,\left(77\,{\cos\left(x\right)}^4-66\,{\cos\left(x\right)}^2+21\right)}{231}","Not used",1,"(2*(1/cos(x))^(11/2)*(77*cos(x)^4 - 66*cos(x)^2 + 21))/231","B"
360,1,32,21,1.151601,"\text{Not used}","int(tan(x)^(3/2)/cos(x)^4,x)","-\frac{4\,\sqrt{\sin\left(2\,x\right)}\,\left(2\,{\cos\left(2\,x\right)}^2+5\,\cos\left(2\,x\right)-7\right)}{45\,{\left(\cos\left(2\,x\right)+1\right)}^{5/2}}","Not used",1,"-(4*sin(2*x)^(1/2)*(5*cos(2*x) + 2*cos(2*x)^2 - 7))/(45*(cos(2*x) + 1)^(5/2))","B"
361,1,57,38,0.280372,"\text{Not used}","int(cot(x)^4/sin(x)^3,x)","\frac{\ln\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)}{16}+\frac{\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^4}{128}+\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^2}{128}-\frac{1}{384}}{{\mathrm{tan}\left(\frac{x}{2}\right)}^6}-\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^2}{128}-\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^4}{128}+\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^6}{384}","Not used",1,"log(tan(x/2))/16 + (tan(x/2)^2/128 + tan(x/2)^4/128 - 1/384)/tan(x/2)^6 - tan(x/2)^2/128 - tan(x/2)^4/128 + tan(x/2)^6/384","B"
362,1,75,76,6.376489,"\text{Not used}","int(tan(Pi/4 + x/2)^2/cos(Pi/4 + x/2)^3,x)","\frac{2\,\left(\frac{{\mathrm{tan}\left(\frac{\Pi }{8}+\frac{x}{4}\right)}^7}{4}+\frac{7\,{\mathrm{tan}\left(\frac{\Pi }{8}+\frac{x}{4}\right)}^5}{4}+\frac{7\,{\mathrm{tan}\left(\frac{\Pi }{8}+\frac{x}{4}\right)}^3}{4}+\frac{\mathrm{tan}\left(\frac{\Pi }{8}+\frac{x}{4}\right)}{4}\right)}{{\left({\mathrm{tan}\left(\frac{\Pi }{8}+\frac{x}{4}\right)}^2-1\right)}^4}-\frac{\mathrm{atanh}\left(\mathrm{tan}\left(\frac{\Pi }{8}+\frac{x}{4}\right)\right)}{2}","Not used",1,"(2*(tan(Pi/8 + x/4)/4 + (7*tan(Pi/8 + x/4)^3)/4 + (7*tan(Pi/8 + x/4)^5)/4 + tan(Pi/8 + x/4)^7/4))/(tan(Pi/8 + x/4)^2 - 1)^4 - atanh(tan(Pi/8 + x/4))/2","B"
363,1,133,88,0.380807,"\text{Not used}","int((cot(x)^3 + 1)*(sin(2*x) - a/cos(x)^2)^2,x)","a^2\,\mathrm{tan}\left(x\right)-\frac{{\mathrm{tan}\left(x\right)}^4\,\left(\frac{a^2}{2}-2\right)-4\,a\,\mathrm{tan}\left(x\right)+\frac{a^2}{2}-{\mathrm{tan}\left(x\right)}^5\,\left(4\,a+\frac{1}{2}\right)-{\mathrm{tan}\left(x\right)}^3\,\left(8\,a-\frac{1}{2}\right)+{\mathrm{tan}\left(x\right)}^2\,\left(a^2-3\right)}{{\mathrm{tan}\left(x\right)}^6+2\,{\mathrm{tan}\left(x\right)}^4+{\mathrm{tan}\left(x\right)}^2}-\ln\left(\mathrm{tan}\left(x\right)-\mathrm{i}\right)\,\left(a\,\left(2+2{}\mathrm{i}\right)+2+\frac{1}{4}{}\mathrm{i}\right)-\ln\left(\mathrm{tan}\left(x\right)+1{}\mathrm{i}\right)\,\left(a\,\left(2-2{}\mathrm{i}\right)+2-\frac{1}{4}{}\mathrm{i}\right)+\frac{a^2\,{\mathrm{tan}\left(x\right)}^3}{3}+\ln\left(\mathrm{tan}\left(x\right)\right)\,\left(a^2+4\right)","Not used",1,"a^2*tan(x) - (tan(x)^4*(a^2/2 - 2) - 4*a*tan(x) + a^2/2 - tan(x)^5*(4*a + 1/2) - tan(x)^3*(8*a - 1/2) + tan(x)^2*(a^2 - 3))/(tan(x)^2 + 2*tan(x)^4 + tan(x)^6) - log(tan(x) - 1i)*(a*(2 + 2i) + (2 + 1i/4)) - log(tan(x) + 1i)*(a*(2 - 2i) + (2 - 1i/4)) + (a^2*tan(x)^3)/3 + log(tan(x))*(a^2 + 4)","B"
364,1,94,70,0.384748,"\text{Not used}","int(-(3*cos(x) - 4)*(sin(x)/2 - 1)^4,x)","-\frac{6\,\sin\left(\frac{x}{2}\right)\,{\cos\left(\frac{x}{2}\right)}^9}{5}+6\,{\cos\left(\frac{x}{2}\right)}^8+\frac{17\,\sin\left(\frac{x}{2}\right)\,{\cos\left(\frac{x}{2}\right)}^7}{5}-\frac{52\,{\cos\left(\frac{x}{2}\right)}^6}{3}+\frac{93\,\sin\left(\frac{x}{2}\right)\,{\cos\left(\frac{x}{2}\right)}^5}{10}+2\,{\cos\left(\frac{x}{2}\right)}^4-\frac{191\,\sin\left(\frac{x}{2}\right)\,{\cos\left(\frac{x}{2}\right)}^3}{8}+28\,{\cos\left(\frac{x}{2}\right)}^2+\frac{3\,\sin\left(\frac{x}{2}\right)\,\cos\left(\frac{x}{2}\right)}{16}+\frac{227\,x}{32}","Not used",1,"(227*x)/32 - (191*cos(x/2)^3*sin(x/2))/8 + (93*cos(x/2)^5*sin(x/2))/10 + (17*cos(x/2)^7*sin(x/2))/5 - (6*cos(x/2)^9*sin(x/2))/5 + 28*cos(x/2)^2 + 2*cos(x/2)^4 - (52*cos(x/2)^6)/3 + 6*cos(x/2)^8 + (3*cos(x/2)*sin(x/2))/16","B"
365,1,75,33,0.517943,"\text{Not used}","int((2*cot(x) - 3)^3*(3*cot(x) - 1/2),x)","x\,\left(-\frac{285}{2}-4{}\mathrm{i}\right)+4\,\ln\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-1\right)+\frac{64{}\mathrm{i}}{3\,{\mathrm{e}}^{x\,2{}\mathrm{i}}-3\,{\mathrm{e}}^{x\,4{}\mathrm{i}}+{\mathrm{e}}^{x\,6{}\mathrm{i}}-1}+\frac{-224+96{}\mathrm{i}}{1+{\mathrm{e}}^{x\,4{}\mathrm{i}}-2\,{\mathrm{e}}^{x\,2{}\mathrm{i}}}+\frac{-224-264{}\mathrm{i}}{{\mathrm{e}}^{x\,2{}\mathrm{i}}-1}","Not used",1,"4*log(exp(x*2i) - 1) - x*(285/2 + 4i) + 64i/(3*exp(x*2i) - 3*exp(x*4i) + exp(x*6i) - 1) - (224 - 96i)/(exp(x*4i) - 2*exp(x*2i) + 1) - (224 + 264i)/(exp(x*2i) - 1)","B"
366,1,26,16,0.312200,"\text{Not used}","int(cos(5*x)/cos(x)^5,x)","\frac{48\,x\,{\cos\left(x\right)}^3-50\,\sin\left(x\right)\,{\cos\left(x\right)}^2+5\,\sin\left(x\right)}{3\,{\cos\left(x\right)}^3}","Not used",1,"(5*sin(x) + 48*x*cos(x)^3 - 50*cos(x)^2*sin(x))/(3*cos(x)^3)","B"
367,1,10,12,0.269177,"\text{Not used}","int(cos(4*x)/cos(x),x)","\mathrm{atanh}\left(\sin\left(x\right)\right)-\frac{8\,{\sin\left(x\right)}^3}{3}","Not used",1,"atanh(sin(x)) - (8*sin(x)^3)/3","B"
368,1,13,17,0.193214,"\text{Not used}","int(cos(4*x)*cos(x),x)","\frac{\sin\left(3\,x\right)}{6}+\frac{\sin\left(5\,x\right)}{10}","Not used",1,"sin(3*x)/6 + sin(5*x)/10","B"
369,1,33,26,0.234016,"\text{Not used}","int(cos(4*x)/cos(x)^5,x)","\frac{35\,\mathrm{atanh}\left(\sin\left(x\right)\right)}{8}-\frac{\frac{27\,\sin\left(x\right)}{8}-\frac{29\,{\sin\left(x\right)}^3}{8}}{{\sin\left(x\right)}^4-2\,{\sin\left(x\right)}^2+1}","Not used",1,"(35*atanh(sin(x)))/8 - ((27*sin(x))/8 - (29*sin(x)^3)/8)/(sin(x)^4 - 2*sin(x)^2 + 1)","B"
370,1,36,38,0.301084,"\text{Not used}","int(cos(4*x)*cos(x)^4,x)","\frac{x}{16}+\frac{\frac{{\mathrm{tan}\left(x\right)}^7}{16}+\frac{11\,{\mathrm{tan}\left(x\right)}^5}{48}+\frac{5\,{\mathrm{tan}\left(x\right)}^3}{48}+\frac{15\,\mathrm{tan}\left(x\right)}{16}}{{\left({\mathrm{tan}\left(x\right)}^2+1\right)}^4}","Not used",1,"x/16 + ((15*tan(x))/16 + (5*tan(x)^3)/48 + (11*tan(x)^5)/48 + tan(x)^7/16)/(tan(x)^2 + 1)^4","B"
371,1,21,20,0.066509,"\text{Not used}","int(cos(5*x)/sin(x)^5,x)","8\,\ln\left({\sin\left(x\right)}^2\right)+\frac{6\,{\sin\left(x\right)}^2-\frac{1}{4}}{{\sin\left(x\right)}^4}","Not used",1,"8*log(sin(x)^2) + (6*sin(x)^2 - 1/4)/sin(x)^4","B"
372,1,35,12,0.298471,"\text{Not used}","int(sin(4*x)/sin(x)^4,x)","8\,\ln\left({\mathrm{tan}\left(\frac{x}{2}\right)}^2+1\right)-8\,\ln\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)-\frac{1}{2\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2}-\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^2}{2}","Not used",1,"8*log(tan(x/2)^2 + 1) - 8*log(tan(x/2)) - 1/(2*tan(x/2)^2) - tan(x/2)^2/2","B"
373,1,47,64,0.341522,"\text{Not used}","int(cos(x)/(sin(x)*(sin(2*x) + 2)),x)","\frac{\ln\left(\mathrm{tan}\left(x\right)\right)}{2}+\ln\left(\mathrm{tan}\left(x\right)+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(\mathrm{tan}\left(x\right)+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"log(tan(x))/2 + log(tan(x) - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/12 - 1/4) - log(tan(x) + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/12 + 1/4)","B"
374,1,25,11,0.616444,"\text{Not used}","int(cos(x)^2/(cos(3*x)*sin(x)),x)","\ln\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)-\frac{\ln\left({\mathrm{tan}\left(\frac{x}{2}\right)}^4-14\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2+1\right)}{2}","Not used",1,"log(tan(x/2)) - log(tan(x/2)^4 - 14*tan(x/2)^2 + 1)/2","B"
375,1,5,7,0.266417,"\text{Not used}","int(sin(2*x)/(cos(x)^4 + sin(x)^4),x)","\mathrm{atan}\left({\mathrm{tan}\left(x\right)}^2\right)","Not used",1,"atan(tan(x)^2)","B"
376,1,23,53,0.213894,"\text{Not used}","int(1/(sin(x) + 3^(1/2)*cos(x) + 4),x)","-\frac{\sqrt{12}\,\mathrm{atan}\left(\frac{\sqrt{12}\,\left(\mathrm{tan}\left(\frac{x}{2}\right)\,\left(\sqrt{3}-4\right)-1\right)}{12}\right)}{6}","Not used",1,"-(12^(1/2)*atan((12^(1/2)*(tan(x/2)*(3^(1/2) - 4) - 1))/12))/6","B"
377,1,17,33,0.080987,"\text{Not used}","int(1/(4*cos(x) + 4*sin(x) + 3),x)","\frac{2\,\sqrt{23}\,\mathrm{atanh}\left(\frac{\sqrt{23}\,\left(\mathrm{tan}\left(\frac{x}{2}\right)-4\right)}{23}\right)}{23}","Not used",1,"(2*23^(1/2)*atanh((23^(1/2)*(tan(x/2) - 4))/23))/23","B"
378,1,16,27,0.283261,"\text{Not used}","int(1/(5*sin(x)^2 - 3*cos(x)^2 + 4),x)","\frac{x}{3}-\frac{\mathrm{atan}\left(\mathrm{tan}\left(x\right)\right)}{3}+\frac{\mathrm{atan}\left(3\,\mathrm{tan}\left(x\right)\right)}{3}","Not used",1,"x/3 - atan(tan(x))/3 + atan(3*tan(x))/3","B"
379,1,38,28,0.320270,"\text{Not used}","int(1/(4*cot(x) + tan(x) + 4),x)","\frac{2}{5\,\left(\mathrm{tan}\left(x\right)+2\right)}-\frac{3\,\ln\left(\mathrm{tan}\left(x\right)+2\right)}{25}+\ln\left(\mathrm{tan}\left(x\right)-\mathrm{i}\right)\,\left(\frac{3}{50}-\frac{2}{25}{}\mathrm{i}\right)+\ln\left(\mathrm{tan}\left(x\right)+1{}\mathrm{i}\right)\,\left(\frac{3}{50}+\frac{2}{25}{}\mathrm{i}\right)","Not used",1,"log(tan(x) - 1i)*(3/50 - 2i/25) - (3*log(tan(x) + 2))/25 + log(tan(x) + 1i)*(3/50 + 2i/25) + 2/(5*(tan(x) + 2))","B"
380,1,120,67,0.433787,"\text{Not used}","int(1/(sin(x) + 2/cos(x))^2,x)","\frac{4\,\sqrt{15}\,\left(2\,\mathrm{atan}\left(\frac{2\,\sqrt{15}\,{\mathrm{tan}\left(\frac{x}{2}\right)}^3}{15}-\frac{2\,\sqrt{15}\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2}{15}+\frac{2\,\sqrt{15}\,\mathrm{tan}\left(\frac{x}{2}\right)}{5}+\frac{\sqrt{15}}{15}\right)-2\,\mathrm{atan}\left(\frac{\sqrt{15}}{15}-\frac{2\,\sqrt{15}\,\mathrm{tan}\left(\frac{x}{2}\right)}{15}\right)\right)}{225}-\frac{\frac{7\,{\mathrm{tan}\left(\frac{x}{2}\right)}^3}{30}+\frac{2\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2}{15}-\frac{7\,\mathrm{tan}\left(\frac{x}{2}\right)}{30}}{{\mathrm{tan}\left(\frac{x}{2}\right)}^4-{\mathrm{tan}\left(\frac{x}{2}\right)}^3+2\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2+\mathrm{tan}\left(\frac{x}{2}\right)+1}","Not used",1,"(4*15^(1/2)*(2*atan((2*15^(1/2)*tan(x/2))/5 + 15^(1/2)/15 - (2*15^(1/2)*tan(x/2)^2)/15 + (2*15^(1/2)*tan(x/2)^3)/15) - 2*atan(15^(1/2)/15 - (2*15^(1/2)*tan(x/2))/15)))/225 - ((2*tan(x/2)^2)/15 - (7*tan(x/2))/30 + (7*tan(x/2)^3)/30)/(tan(x/2) + 2*tan(x/2)^2 - tan(x/2)^3 + tan(x/2)^4 + 1)","B"
381,1,77,55,0.386365,"\text{Not used}","int(1/(cos(x) + 2/cos(x))^2,x)","\frac{\sqrt{6}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{6}\,{\mathrm{tan}\left(\frac{x}{2}\right)}^3}{4}+\frac{5\,\sqrt{6}\,\mathrm{tan}\left(\frac{x}{2}\right)}{12}\right)+2\,\mathrm{atan}\left(\frac{\sqrt{6}\,\mathrm{tan}\left(\frac{x}{2}\right)}{4}\right)\right)}{72}+\frac{\frac{\mathrm{tan}\left(\frac{x}{2}\right)}{9}-\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^3}{9}}{{\mathrm{tan}\left(\frac{x}{2}\right)}^4+\frac{2\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2}{3}+1}","Not used",1,"(6^(1/2)*(2*atan((5*6^(1/2)*tan(x/2))/12 + (6^(1/2)*tan(x/2)^3)/4) + 2*atan((6^(1/2)*tan(x/2))/4)))/72 + (tan(x/2)/9 - tan(x/2)^3/9)/((2*tan(x/2)^2)/3 + tan(x/2)^4 + 1)","B"
382,1,48,42,0.284184,"\text{Not used}","int(-(tan(x) + 6*tan(x)^2 - 5)/(3*tan(x) + 1)^3,x)","-\frac{28\,\ln\left(\mathrm{tan}\left(x\right)+\frac{1}{3}\right)}{125}-\frac{\frac{29\,\mathrm{tan}\left(x\right)}{150}+\frac{32}{225}}{{\mathrm{tan}\left(x\right)}^2+\frac{2\,\mathrm{tan}\left(x\right)}{3}+\frac{1}{9}}+\ln\left(\mathrm{tan}\left(x\right)-\mathrm{i}\right)\,\left(\frac{14}{125}+\frac{67}{500}{}\mathrm{i}\right)+\ln\left(\mathrm{tan}\left(x\right)+1{}\mathrm{i}\right)\,\left(\frac{14}{125}-\frac{67}{500}{}\mathrm{i}\right)","Not used",1,"log(tan(x) - 1i)*(14/125 + 67i/500) - (28*log(tan(x) + 1/3))/125 + log(tan(x) + 1i)*(14/125 - 67i/500) - ((29*tan(x))/150 + 32/225)/((2*tan(x))/3 + tan(x)^2 + 1/9)","B"
383,1,7,9,0.361696,"\text{Not used}","int(cos(x)^2/cos(3*x),x)","\frac{\mathrm{atanh}\left(2\,\sin\left(x\right)\right)}{2}","Not used",1,"atanh(2*sin(x))/2","B"
384,1,12,15,0.125745,"\text{Not used}","int(sin(x)/cos(2*x),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\sqrt{2}\,\cos\left(x\right)\right)}{2}","Not used",1,"(2^(1/2)*atanh(2^(1/2)*cos(x)))/2","B"
385,1,9,17,0.242365,"\text{Not used}","int(sin(x)^2/cos(2*x),x)","\frac{\mathrm{atanh}\left(\mathrm{tan}\left(x\right)\right)}{2}-\frac{x}{2}","Not used",1,"atanh(tan(x))/2 - x/2","B"
386,1,15,21,0.115852,"\text{Not used}","int(sin(x)^3/cos(3*x),x)","\frac{\ln\left(\cos\left(x\right)\right)}{3}-\frac{\ln\left({\cos\left(x\right)}^2-\frac{3}{4}\right)}{24}","Not used",1,"log(cos(x))/3 - log(cos(x)^2 - 3/4)/24","B"
387,1,17,21,0.260219,"\text{Not used}","int(cos(x)/sin(3*x),x)","\frac{\ln\left(\sin\left(x\right)\right)}{3}-\frac{\ln\left(\frac{1}{4}-{\cos\left(x\right)}^2\right)}{6}","Not used",1,"log(sin(x))/3 - log(1/4 - cos(x)^2)/6","B"
388,1,27,26,0.466065,"\text{Not used}","int(sin(x)/sin(4*x),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\sqrt{2}\,\sin\left(x\right)\right)}{4}-\frac{\mathrm{atanh}\left(\frac{\sin\left(\frac{x}{2}\right)}{\cos\left(\frac{x}{2}\right)}\right)}{2}","Not used",1,"(2^(1/2)*atanh(2^(1/2)*sin(x)))/4 - atanh(sin(x/2)/cos(x/2))/2","B"
389,1,27,26,0.287588,"\text{Not used}","int(sin(x)^3/sin(4*x),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\sqrt{2}\,\sin\left(x\right)\right)}{8}-\frac{\mathrm{atanh}\left(\frac{\sin\left(\frac{x}{2}\right)}{\cos\left(\frac{x}{2}\right)}\right)}{2}","Not used",1,"(2^(1/2)*atanh(2^(1/2)*sin(x)))/8 - atanh(sin(x/2)/cos(x/2))/2","B"
390,1,21,16,0.225876,"\text{Not used}","int((sin(2*x) + 1)^(1/2),x)","\frac{\left(\sin\left(2\,x\right)-1\right)\,\sqrt{\sin\left(2\,x\right)+1}}{\cos\left(2\,x\right)}","Not used",1,"((sin(2*x) - 1)*(sin(2*x) + 1)^(1/2))/cos(2*x)","B"
391,1,23,17,0.222743,"\text{Not used}","int((1 - sin(2*x))^(1/2),x)","\frac{\sqrt{1-\sin\left(2\,x\right)}\,\left(\sin\left(2\,x\right)+1\right)}{\cos\left(2\,x\right)}","Not used",1,"((1 - sin(2*x))^(1/2)*(sin(2*x) + 1))/cos(2*x)","B"
392,1,13,27,0.052677,"\text{Not used}","int(1/(cos(2*x) + 1)^(1/2),x)","\frac{\sqrt{2}\,\mathrm{asinh}\left(\frac{\sin\left(x\right)}{\cos\left(x\right)}\right)}{2}","Not used",1,"(2^(1/2)*asinh(sin(x)/cos(x)))/2","B"
393,1,28,30,0.244535,"\text{Not used}","int(1/(1 - cos(2*x))^(1/2),x)","-\frac{\sqrt{2}\,\sin\left(2\,x\right)\,\mathrm{atanh}\left(\sqrt{{\cos\left(x\right)}^2}\right)}{2\,\sqrt{1-{\cos\left(2\,x\right)}^2}}","Not used",1,"-(2^(1/2)*sin(2*x)*atanh((cos(x)^2)^(1/2)))/(2*(1 - cos(2*x)^2)^(1/2))","B"
394,0,-1,53,0.000000,"\text{Not used}","int(1/(1 - cos(3*x))^(3/2),x)","\int \frac{1}{{\left(1-\cos\left(3\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(1 - cos(3*x))^(3/2), x)","F"
395,0,-1,73,0.000000,"\text{Not used}","int((1 - sin((2*x)/3))^(5/2),x)","\int {\left(1-\sin\left(\frac{2\,x}{3}\right)\right)}^{5/2} \,d x","Not used",1,"int((1 - sin((2*x)/3))^(5/2), x)","F"
396,0,-1,55,0.000000,"\text{Not used}","int((cos(x)*(2*(2*sin(x) + 1)^(1/4) - cos(x)^2))/(2*sin(x) + 1)^(3/2),x)","-\int -\frac{\cos\left(x\right)\,\left(2\,{\left(2\,\sin\left(x\right)+1\right)}^{1/4}-{\cos\left(x\right)}^2\right)}{{\left(2\,\sin\left(x\right)+1\right)}^{3/2}} \,d x","Not used",1,"-int(-(cos(x)*(2*(2*sin(x) + 1)^(1/4) - cos(x)^2))/(2*sin(x) + 1)^(3/2), x)","F"
397,1,65,98,0.126624,"\text{Not used}","int(tan(x)^(1/2),x)","\frac{\sqrt{2}\,\left(\ln\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(x\right)}-\mathrm{tan}\left(x\right)-1\right)-\ln\left(\mathrm{tan}\left(x\right)+\sqrt{2}\,\sqrt{\mathrm{tan}\left(x\right)}+1\right)\right)}{4}+\frac{\sqrt{2}\,\left(\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(x\right)}-1\right)+\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(x\right)}+1\right)\right)}{2}","Not used",1,"(2^(1/2)*(log(2^(1/2)*tan(x)^(1/2) - tan(x) - 1) - log(tan(x) + 2^(1/2)*tan(x)^(1/2) + 1)))/4 + (2^(1/2)*(atan(2^(1/2)*tan(x)^(1/2) - 1) + atan(2^(1/2)*tan(x)^(1/2) + 1)))/2","B"
398,1,67,57,0.687072,"\text{Not used}","int(1/tan(5*x)^(1/3),x)","\frac{\ln\left(81\,{\mathrm{tan}\left(5\,x\right)}^{2/3}+81\right)}{10}-\ln\left(81-162\,{\mathrm{tan}\left(5\,x\right)}^{2/3}+\sqrt{3}\,81{}\mathrm{i}\right)\,\left(\frac{1}{20}+\frac{\sqrt{3}\,1{}\mathrm{i}}{20}\right)+\ln\left(162\,{\mathrm{tan}\left(5\,x\right)}^{2/3}-81+\sqrt{3}\,81{}\mathrm{i}\right)\,\left(-\frac{1}{20}+\frac{\sqrt{3}\,1{}\mathrm{i}}{20}\right)","Not used",1,"log(81*tan(5*x)^(2/3) + 81)/10 - log(3^(1/2)*81i - 162*tan(5*x)^(2/3) + 81)*((3^(1/2)*1i)/20 + 1/20) + log(3^(1/2)*81i + 162*tan(5*x)^(2/3) - 81)*((3^(1/2)*1i)/20 - 1/20)","B"
399,1,63,87,0.443290,"\text{Not used}","int(1/(3*tan(2*x) + 4)^(3/2),x)","-\frac{3}{25\,\sqrt{3\,\mathrm{tan}\left(2\,x\right)+4}}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{3\,\mathrm{tan}\left(2\,x\right)+4}\,\left(\frac{1}{10}-\frac{3}{10}{}\mathrm{i}\right)\right)\,\left(\frac{9}{500}+\frac{13}{500}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{3\,\mathrm{tan}\left(2\,x\right)+4}\,\left(\frac{1}{10}+\frac{3}{10}{}\mathrm{i}\right)\right)\,\left(\frac{9}{500}-\frac{13}{500}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*(3*tan(2*x) + 4)^(1/2)*(1/10 - 3i/10))*(9/500 + 13i/500) + 2^(1/2)*atan(2^(1/2)*(3*tan(2*x) + 4)^(1/2)*(1/10 + 3i/10))*(9/500 - 13i/500) - 3/(25*(3*tan(2*x) + 4)^(1/2))","B"
400,1,105,40,1.421075,"\text{Not used}","int((3*tan(x) - (4 - 3*tan(x))^(1/2))/(cos(x)^2*(4 - 3*tan(x))^(3/2)),x)","\frac{\ln\left({\mathrm{e}}^{x\,2{}\mathrm{i}}\,\left(-\frac{16}{3}-4{}\mathrm{i}\right)-\frac{16}{3}+4{}\mathrm{i}\right)}{3}-\frac{\ln\left({\mathrm{e}}^{x\,2{}\mathrm{i}}\,\left(\frac{16}{3}-4{}\mathrm{i}\right)+\frac{16}{3}-4{}\mathrm{i}\right)}{3}+\frac{2\,{\mathrm{e}}^{x\,1{}\mathrm{i}}\,\cos\left(x\right)\,\left(\frac{32\,{\mathrm{e}}^{x\,1{}\mathrm{i}}\,\cos\left(x\right)}{3}-4\,{\mathrm{e}}^{x\,1{}\mathrm{i}}\,\sin\left(x\right)\right)\,\sqrt{4-\frac{3\,\sin\left(x\right)}{\cos\left(x\right)}}}{8\,{\mathrm{e}}^{x\,2{}\mathrm{i}}+8\,\cos\left(2\,x\right)\,{\mathrm{e}}^{x\,2{}\mathrm{i}}-6\,\sin\left(2\,x\right)\,{\mathrm{e}}^{x\,2{}\mathrm{i}}}","Not used",1,"log(- exp(x*2i)*(16/3 + 4i) - (16/3 - 4i))/3 - log(exp(x*2i)*(16/3 - 4i) + (16/3 - 4i))/3 + (2*exp(x*1i)*cos(x)*((32*exp(x*1i)*cos(x))/3 - 4*exp(x*1i)*sin(x))*(4 - (3*sin(x))/cos(x))^(1/2))/(8*exp(x*2i) + 8*cos(2*x)*exp(x*2i) - 6*sin(2*x)*exp(x*2i))","B"
401,1,228,84,1.270522,"\text{Not used}","int(tan(x)/(tan(x)^(1/2) - 1)^2,x)","\ln\left(612\,\sqrt{\mathrm{tan}\left(x\right)}-612\right)-\frac{1}{\sqrt{\mathrm{tan}\left(x\right)}-1}+\left(\sum _{k=1}^4\ln\left(4\,\sqrt{\mathrm{tan}\left(x\right)}+{\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}-\frac{z}{8}+\frac{1}{64},z,k\right)}^2\,\sqrt{\mathrm{tan}\left(x\right)}\,80+{\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}-\frac{z}{8}+\frac{1}{64},z,k\right)}^3\,\sqrt{\mathrm{tan}\left(x\right)}\,448+{\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}-\frac{z}{8}+\frac{1}{64},z,k\right)}^4\,\sqrt{\mathrm{tan}\left(x\right)}\,128+32\,{\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}-\frac{z}{8}+\frac{1}{64},z,k\right)}^2-384\,{\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}-\frac{z}{8}+\frac{1}{64},z,k\right)}^3-256\,{\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}-\frac{z}{8}+\frac{1}{64},z,k\right)}^4-\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}-\frac{z}{8}+\frac{1}{64},z,k\right)\,\sqrt{\mathrm{tan}\left(x\right)}\,48-4\right)\,\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}-\frac{z}{8}+\frac{1}{64},z,k\right)\right)","Not used",1,"log(612*tan(x)^(1/2) - 612) - 1/(tan(x)^(1/2) - 1) + symsum(log(4*tan(x)^(1/2) + 80*root(z^4 + z^3 + z^2/2 - z/8 + 1/64, z, k)^2*tan(x)^(1/2) + 448*root(z^4 + z^3 + z^2/2 - z/8 + 1/64, z, k)^3*tan(x)^(1/2) + 128*root(z^4 + z^3 + z^2/2 - z/8 + 1/64, z, k)^4*tan(x)^(1/2) + 32*root(z^4 + z^3 + z^2/2 - z/8 + 1/64, z, k)^2 - 384*root(z^4 + z^3 + z^2/2 - z/8 + 1/64, z, k)^3 - 256*root(z^4 + z^3 + z^2/2 - z/8 + 1/64, z, k)^4 - 48*root(z^4 + z^3 + z^2/2 - z/8 + 1/64, z, k)*tan(x)^(1/2) - 4)*root(z^4 + z^3 + z^2/2 - z/8 + 1/64, z, k), k, 1, 4)","B"
402,0,-1,31,0.000000,"\text{Not used}","int(sin(x)/sin(2*x)^(1/2),x)","\int \frac{\sin\left(x\right)}{\sqrt{\sin\left(2\,x\right)}} \,d x","Not used",1,"int(sin(x)/sin(2*x)^(1/2), x)","F"
403,0,-1,31,0.000000,"\text{Not used}","int(cos(x)/sin(2*x)^(1/2),x)","\int \frac{\cos\left(x\right)}{\sqrt{\sin\left(2\,x\right)}} \,d x","Not used",1,"int(cos(x)/sin(2*x)^(1/2), x)","F"
404,0,-1,45,0.000000,"\text{Not used}","int(sin(2*x)^(1/2)*sin(x),x)","\int \sqrt{\sin\left(2\,x\right)}\,\sin\left(x\right) \,d x","Not used",1,"int(sin(2*x)^(1/2)*sin(x), x)","F"
405,0,-1,47,0.000000,"\text{Not used}","int(sin(2*x)^(1/2)*(cos(x) - sin(x)),x)","\int \sqrt{\sin\left(2\,x\right)}\,\left(\cos\left(x\right)-\sin\left(x\right)\right) \,d x","Not used",1,"int(sin(2*x)^(1/2)*(cos(x) - sin(x)), x)","F"
406,0,-1,61,0.000000,"\text{Not used}","int(sin(x)^7/sin(2*x)^(7/2),x)","\int \frac{{\sin\left(x\right)}^7}{{\sin\left(2\,x\right)}^{7/2}} \,d x","Not used",1,"int(sin(x)^7/sin(2*x)^(7/2), x)","F"
407,0,-1,61,0.000000,"\text{Not used}","int(cos(x)^7/sin(2*x)^(7/2),x)","\int \frac{{\cos\left(x\right)}^7}{{\sin\left(2\,x\right)}^{7/2}} \,d x","Not used",1,"int(cos(x)^7/sin(2*x)^(7/2), x)","F"
408,1,18,16,0.562418,"\text{Not used}","int(sin(2*x)^(3/2)/sin(x)^5,x)","\frac{4\,\sqrt{\sin\left(2\,x\right)}\,\left({\sin\left(x\right)}^2-1\right)}{5\,{\sin\left(x\right)}^3}","Not used",1,"(4*sin(2*x)^(1/2)*(sin(x)^2 - 1))/(5*sin(x)^3)","B"
409,1,20,31,0.385078,"\text{Not used}","int(1/(sin(2*x)^(1/2)*cos(x)^3),x)","\frac{\sqrt{\sin\left(2\,x\right)}\,\left(2\,\cos\left(2\,x\right)+3\right)}{5\,{\cos\left(x\right)}^3}","Not used",1,"(sin(2*x)^(1/2)*(2*cos(2*x) + 3))/(5*cos(x)^3)","B"
410,1,29,29,0.430088,"\text{Not used}","int(1/(sin(2*x)^(3/2)*sin(x)),x)","-\frac{\sqrt{\sin\left(2\,x\right)}\,\left(2\,\cos\left(2\,x\right)-1\right)}{6\,\left(\cos\left(x\right)-{\cos\left(x\right)}^3\right)}","Not used",1,"-(sin(2*x)^(1/2)*(2*cos(2*x) - 1))/(6*(cos(x) - cos(x)^3))","B"
411,0,-1,68,0.000000,"\text{Not used}","int(-(cos(x)^3*(cos(2*x) - 3*tan(x)))/(sin(2*x)^(5/2)*(sin(2*x) - sin(x)^2)),x)","\int -\frac{{\cos\left(x\right)}^3\,\left(\cos\left(2\,x\right)-3\,\mathrm{tan}\left(x\right)\right)}{{\sin\left(2\,x\right)}^{5/2}\,\left(\sin\left(2\,x\right)-{\sin\left(x\right)}^2\right)} \,d x","Not used",1,"int(-(cos(x)^3*(cos(2*x) - 3*tan(x)))/(sin(2*x)^(5/2)*(sin(2*x) - sin(x)^2)), x)","F"
412,1,15,19,0.513846,"\text{Not used}","int((sin(x)/cos(x)^5)^(1/2),x)","\frac{\sin\left(2\,x\right)\,\sqrt{\frac{\sin\left(x\right)}{{\cos\left(x\right)}^5}}}{3}","Not used",1,"(sin(2*x)*(sin(x)/cos(x)^5)^(1/2))/3","B"
413,0,-1,92,0.000000,"\text{Not used}","int((sin(x)^5/cos(x))^(1/2),x)","\int \sqrt{\frac{{\sin\left(x\right)}^5}{\cos\left(x\right)}} \,d x","Not used",1,"int((sin(x)^5/cos(x))^(1/2), x)","F"
414,1,32,47,3.937213,"\text{Not used}","int((sin(x)^2/cos(x)^14)^(1/3),x)","\frac{6\,\sin\left(2\,x\right)\,{\left(1-\cos\left(2\,x\right)\right)}^{1/3}\,\left(3\,\cos\left(2\,x\right)+8\right)}{55\,{\left(\cos\left(2\,x\right)+1\right)}^{7/3}}","Not used",1,"(6*sin(2*x)*(1 - cos(2*x))^(1/3)*(3*cos(2*x) + 8))/(55*(cos(2*x) + 1)^(7/3))","B"
415,1,110,70,3.551638,"\text{Not used}","int(1/(cos(x)^11*sin(x)^13)^(1/4),x)","-\frac{2^{3/4}\,\left(-32\,{\cos\left(2\,x\right)}^2+8\,\cos\left(2\,x\right)+31\right)\,{\left(924\,\sin\left(2\,x\right)-132\,\sin\left(4\,x\right)-660\,\sin\left(6\,x\right)+165\,\sin\left(8\,x\right)+330\,\sin\left(10\,x\right)-110\,\sin\left(12\,x\right)-110\,\sin\left(14\,x\right)+44\,\sin\left(16\,x\right)+22\,\sin\left(18\,x\right)-10\,\sin\left(20\,x\right)-2\,\sin\left(22\,x\right)+\sin\left(24\,x\right)\right)}^{3/4}}{2016\,{\left(\cos\left(2\,x\right)-1\right)}^6\,{\left(\cos\left(2\,x\right)+1\right)}^5}","Not used",1,"-(2^(3/4)*(8*cos(2*x) - 32*cos(2*x)^2 + 31)*(924*sin(2*x) - 132*sin(4*x) - 660*sin(6*x) + 165*sin(8*x) + 330*sin(10*x) - 110*sin(12*x) - 110*sin(14*x) + 44*sin(16*x) + 22*sin(18*x) - 10*sin(20*x) - 2*sin(22*x) + sin(24*x))^(3/4))/(2016*(cos(2*x) - 1)^6*(cos(2*x) + 1)^5)","B"
416,0,-1,108,0.000000,"\text{Not used}","int((cos(2*x) - sin(2*x)^(1/2))/(cos(x)^3*sin(x))^(1/2),x)","\int \frac{\cos\left(2\,x\right)-\sqrt{\sin\left(2\,x\right)}}{\sqrt{{\cos\left(x\right)}^3\,\sin\left(x\right)}} \,d x","Not used",1,"int((cos(2*x) - sin(2*x)^(1/2))/(cos(x)^3*sin(x))^(1/2), x)","F"
417,0,-1,364,0.000000,"\text{Not used}","int(-(2*sin(2*x) - (cos(x)*sin(x)^3)^(1/2))/(tan(x)^(1/2) - (cos(x)^3*sin(x))^(1/2)),x)","-\int \frac{2\,\sin\left(2\,x\right)-\sqrt{\cos\left(x\right)\,{\sin\left(x\right)}^3}}{\sqrt{\mathrm{tan}\left(x\right)}-\sqrt{{\cos\left(x\right)}^3\,\sin\left(x\right)}} \,d x","Not used",1,"-int((2*sin(2*x) - (cos(x)*sin(x)^3)^(1/2))/(tan(x)^(1/2) - (cos(x)^3*sin(x))^(1/2)), x)","F"
418,0,-1,125,0.000000,"\text{Not used}","int(-(3*tan(x) - (sin(x)/cos(x)^7)^(1/3))/(cos(x)^5*sin(x))^(2/3),x)","\int -\frac{3\,\mathrm{tan}\left(x\right)-{\left(\frac{\sin\left(x\right)}{{\cos\left(x\right)}^7}\right)}^{1/3}}{{\left({\cos\left(x\right)}^5\,\sin\left(x\right)\right)}^{2/3}} \,d x","Not used",1,"int(-(3*tan(x) - (sin(x)/cos(x)^7)^(1/3))/(cos(x)^5*sin(x))^(2/3), x)","F"
419,1,43,73,0.133400,"\text{Not used}","int(sin(x)*(2*cos(x)^2 + 1)^(5/2),x)","-\frac{5\,\sqrt{2}\,\mathrm{asinh}\left(\sqrt{2}\,\cos\left(x\right)\right)}{32}-\frac{\sqrt{2}\,\sqrt{{\cos\left(x\right)}^2+\frac{1}{2}}\,\left(\frac{4\,{\cos\left(x\right)}^5}{3}+\frac{13\,{\cos\left(x\right)}^3}{6}+\frac{11\,\cos\left(x\right)}{8}\right)}{2}","Not used",1,"- (5*2^(1/2)*asinh(2^(1/2)*cos(x)))/32 - (2^(1/2)*(cos(x)^2 + 1/2)^(1/2)*((11*cos(x))/8 + (13*cos(x)^3)/6 + (4*cos(x)^5)/3))/2","B"
420,0,-1,69,0.000000,"\text{Not used}","int(cos(x)*(5*cos(x)^2 + sin(x)^2)^(5/2),x)","\int \cos\left(x\right)\,{\left(5\,{\cos\left(x\right)}^2+{\sin\left(x\right)}^2\right)}^{5/2} \,d x","Not used",1,"int(cos(x)*(5*cos(x)^2 + sin(x)^2)^(5/2), x)","F"
421,0,-1,58,0.000000,"\text{Not used}","int(cos(x)*(- cos(x)^2 - 5*sin(x)^2)^(3/2),x)","\int \cos\left(x\right)\,{\left(-{\cos\left(x\right)}^2-5\,{\sin\left(x\right)}^2\right)}^{3/2} \,d x","Not used",1,"int(cos(x)*(- cos(x)^2 - 5*sin(x)^2)^(3/2), x)","F"
422,1,28,55,0.657581,"\text{Not used}","int(sin(x)/(5*cos(x)^2 - 2*sin(x)^2)^(7/2),x)","\frac{\cos\left(x\right)\,\left(98\,{\cos\left(x\right)}^4-70\,{\cos\left(x\right)}^2+15\right)}{30\,{\left(7\,{\cos\left(x\right)}^2-2\right)}^{5/2}}","Not used",1,"(cos(x)*(98*cos(x)^4 - 70*cos(x)^2 + 15))/(30*(7*cos(x)^2 - 2)^(5/2))","B"
423,0,-1,39,0.000000,"\text{Not used}","int((cos(2*x)*cos(x))/(2 - 5*sin(x)^2)^(3/2),x)","\int \frac{\cos\left(2\,x\right)\,\cos\left(x\right)}{{\left(2-5\,{\sin\left(x\right)}^2\right)}^{3/2}} \,d x","Not used",1,"int((cos(2*x)*cos(x))/(2 - 5*sin(x)^2)^(3/2), x)","F"
424,0,-1,48,0.000000,"\text{Not used}","int(sin(5*x)/(5*cos(x)^2 + 9*sin(x)^2)^(5/2),x)","\int \frac{\sin\left(5\,x\right)}{{\left(5\,{\cos\left(x\right)}^2+9\,{\sin\left(x\right)}^2\right)}^{5/2}} \,d x","Not used",1,"int(sin(5*x)/(5*cos(x)^2 + 9*sin(x)^2)^(5/2), x)","F"
425,1,28,49,0.632536,"\text{Not used}","int((cos(2*x)*sin(3*x)*cos(x))/(4*sin(x)^2 - 5)^(5/2),x)","\frac{2\,{\cos\left(2\,x\right)}^2+11\,\cos\left(2\,x\right)+11}{4\,{\left(-2\,\cos\left(2\,x\right)-3\right)}^{3/2}}","Not used",1,"(11*cos(2*x) + 2*cos(2*x)^2 + 11)/(4*(- 2*cos(2*x) - 3)^(3/2))","B"
426,0,-1,111,0.000000,"\text{Not used}","int((cos(2*x)*sin(x) - 2*cos(x)^3*(sin(x) - 1))/(sin(x)^2*(sin(x)^2 - 5)^(1/2)),x)","\int \frac{\cos\left(2\,x\right)\,\sin\left(x\right)-2\,{\cos\left(x\right)}^3\,\left(\sin\left(x\right)-1\right)}{{\sin\left(x\right)}^2\,\sqrt{{\sin\left(x\right)}^2-5}} \,d x","Not used",1,"int((cos(2*x)*sin(x) - 2*cos(x)^3*(sin(x) - 1))/(sin(x)^2*(sin(x)^2 - 5)^(1/2)), x)","F"
427,0,-1,112,0.000000,"\text{Not used}","int(cos(3*x)/((3*cos(x)^2 - sin(x)^2)^(1/2) - (8*cos(x)^2 - 1)^(1/2)),x)","-\int -\frac{\cos\left(3\,x\right)}{\sqrt{3\,{\cos\left(x\right)}^2-{\sin\left(x\right)}^2}-\sqrt{8\,{\cos\left(x\right)}^2-1}} \,d x","Not used",1,"-int(-cos(3*x)/((3*cos(x)^2 - sin(x)^2)^(1/2) - (8*cos(x)^2 - 1)^(1/2)), x)","F"
428,0,-1,33,0.000000,"\text{Not used}","int(sin(4*x)*(2 - 3*sin(x)^2)^(3/5),x)","\int \sin\left(4\,x\right)\,{\left(2-3\,{\sin\left(x\right)}^2\right)}^{3/5} \,d x","Not used",1,"int(sin(4*x)*(2 - 3*sin(x)^2)^(3/5), x)","F"
429,0,-1,33,0.000000,"\text{Not used}","int(cos(2*x)^(1/2)*cos(x),x)","\int \sqrt{\cos\left(2\,x\right)}\,\cos\left(x\right) \,d x","Not used",1,"int(cos(2*x)^(1/2)*cos(x), x)","F"
430,1,29,55,0.418780,"\text{Not used}","int(cos(2*x)^(3/2)*sin(x),x)","-\frac{{\cos\left(2\,x\right)}^{3/2}\,\cos\left(x\right)\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{1}{2};\ \frac{3}{2};\ \cos\left(2\,x\right)+1\right)}{{\left(-\cos\left(2\,x\right)\right)}^{3/2}}","Not used",1,"-(cos(2*x)^(3/2)*cos(x)*hypergeom([-3/2, 1/2], 3/2, cos(2*x) + 1))/(-cos(2*x))^(3/2)","B"
431,1,12,16,0.347368,"\text{Not used}","int(sin(x)/cos(2*x)^(5/2),x)","-\frac{\cos\left(3\,x\right)}{3\,{\cos\left(2\,x\right)}^{3/2}}","Not used",1,"-cos(3*x)/(3*cos(2*x)^(3/2))","B"
432,0,-1,49,0.000000,"\text{Not used}","int(cos(2*x)^(3/2)/cos(x)^3,x)","\int \frac{{\cos\left(2\,x\right)}^{3/2}}{{\cos\left(x\right)}^3} \,d x","Not used",1,"int(cos(2*x)^(3/2)/cos(x)^3, x)","F"
433,0,-1,87,0.000000,"\text{Not used}","int((sin(x)^2*(3*sin(x)^3 - sin(4*x)*cos(x)))/cos(2*x)^(7/2),x)","\int \frac{{\sin\left(x\right)}^2\,\left(3\,{\sin\left(x\right)}^3-\sin\left(4\,x\right)\,\cos\left(x\right)\right)}{{\cos\left(2\,x\right)}^{7/2}} \,d x","Not used",1,"int((sin(x)^2*(3*sin(x)^3 - sin(4*x)*cos(x)))/cos(2*x)^(7/2), x)","F"
434,0,-1,68,0.000000,"\text{Not used}","int((4 - 5/cos(x)^2)^(3/2),x)","\int {\left(4-\frac{5}{{\cos\left(x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int((4 - 5/cos(x)^2)^(3/2), x)","F"
435,0,-1,40,0.000000,"\text{Not used}","int(1/(4 - 5/cos(x)^2)^(3/2),x)","\int \frac{1}{{\left(4-\frac{5}{{\cos\left(x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(4 - 5/cos(x)^2)^(3/2), x)","F"
436,0,-1,94,0.000000,"\text{Not used}","int((sin(x) - 2*cot(x)^2)/(5*tan(x)^2 + 1)^(3/2),x)","\int \frac{\sin\left(x\right)-2\,{\mathrm{cot}\left(x\right)}^2}{{\left(5\,{\mathrm{tan}\left(x\right)}^2+1\right)}^{3/2}} \,d x","Not used",1,"int((sin(x) - 2*cot(x)^2)/(5*tan(x)^2 + 1)^(3/2), x)","F"
437,1,20,39,0.758996,"\text{Not used}","int((cos(2*x) - 3)/(cos(x)^4*(4 - cot(x)^2)^(1/2)),x)","-\frac{\mathrm{tan}\left(x\right)\,\left({\mathrm{tan}\left(x\right)}^2+2\right)\,\sqrt{4-\frac{1}{{\mathrm{tan}\left(x\right)}^2}}}{3}","Not used",1,"-(tan(x)*(tan(x)^2 + 2)*(4 - 1/tan(x)^2)^(1/2))/3","B"
438,0,-1,73,0.000000,"\text{Not used}","int((tan(x)^3*(sin(x)^2 + 3))/((cos(x)^2 - 2)*(5 - 4/cos(x)^2)^(3/2)),x)","\int \frac{{\mathrm{tan}\left(x\right)}^3\,\left({\sin\left(x\right)}^2+3\right)}{\left({\cos\left(x\right)}^2-2\right)\,{\left(5-\frac{4}{{\cos\left(x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int((tan(x)^3*(sin(x)^2 + 3))/((cos(x)^2 - 2)*(5 - 4/cos(x)^2)^(3/2)), x)","F"
439,1,113,57,1.473367,"\text{Not used}","int((1/cos(x)^2 - 3*tan(x)*(4/cos(x)^2 + 5*tan(x)^2)^(1/2))/(sin(x)^2*(4/cos(x)^2 + 5*tan(x)^2)^(3/2)),x)","\frac{3\,\ln\left(\left(\cos\left(2\,x\right)+\sin\left(2\,x\right)\,1{}\mathrm{i}\right)\,\left(5\,\cos\left(2\,x\right)-13\right)\right)}{8}-\frac{3\,\ln\left(\cos\left(2\,x\right)\,852930{}\mathrm{i}-852930\,\sin\left(2\,x\right)-852930{}\mathrm{i}\right)}{4}-\frac{\frac{18\,\sin\left(2\,x\right)\,\sqrt{13-5\,\cos\left(2\,x\right)}}{\sqrt{\cos\left(2\,x\right)+1}}-\frac{5\,\sin\left(4\,x\right)\,\sqrt{13-5\,\cos\left(2\,x\right)}}{\sqrt{\cos\left(2\,x\right)+1}}}{80\,{\cos\left(2\,x\right)}^2-288\,\cos\left(2\,x\right)+208}","Not used",1,"(3*log((cos(2*x) + sin(2*x)*1i)*(5*cos(2*x) - 13)))/8 - (3*log(cos(2*x)*852930i - 852930*sin(2*x) - 852930i))/4 - ((18*sin(2*x)*(13 - 5*cos(2*x))^(1/2))/(cos(2*x) + 1)^(1/2) - (5*sin(4*x)*(13 - 5*cos(2*x))^(1/2))/(cos(2*x) + 1)^(1/2))/(80*cos(2*x)^2 - 288*cos(2*x) + 208)","B"
440,1,90,66,1.568865,"\text{Not used}","int(tan(x)*(5*tan(x)^2 + 1)^(5/2),x)","\frac{\sqrt{5}\,\sqrt{{\mathrm{tan}\left(x\right)}^2+\frac{1}{5}}\,\left(25\,{\mathrm{tan}\left(x\right)}^4-\frac{70\,{\mathrm{tan}\left(x\right)}^2}{3}+\frac{223}{3}\right)}{5}-\ln\left(\mathrm{tan}\left(x\right)-\frac{2\,\sqrt{5}\,\sqrt{{\mathrm{tan}\left(x\right)}^2+\frac{1}{5}}}{5}+\frac{1}{5}{}\mathrm{i}\right)\,16{}\mathrm{i}-\ln\left(\mathrm{tan}\left(x\right)+\frac{2\,\sqrt{5}\,\sqrt{{\mathrm{tan}\left(x\right)}^2+\frac{1}{5}}}{5}-\frac{1}{5}{}\mathrm{i}\right)\,16{}\mathrm{i}+\ln\left(\mathrm{tan}\left(x\right)-\mathrm{i}\right)\,16{}\mathrm{i}+\ln\left(\mathrm{tan}\left(x\right)+1{}\mathrm{i}\right)\,16{}\mathrm{i}","Not used",1,"log(tan(x) - 1i)*16i - log(tan(x) + (2*5^(1/2)*(tan(x)^2 + 1/5)^(1/2))/5 - 1i/5)*16i - log(tan(x) - (2*5^(1/2)*(tan(x)^2 + 1/5)^(1/2))/5 + 1i/5)*16i + log(tan(x) + 1i)*16i + (5^(1/2)*(tan(x)^2 + 1/5)^(1/2)*(25*tan(x)^4 - (70*tan(x)^2)/3 + 223/3))/5","B"
441,1,172,54,0.510879,"\text{Not used}","int(tan(x)/(5*tan(x)^2 + 1)^(5/2),x)","\frac{\ln\left(\mathrm{tan}\left(x\right)-\frac{2\,\sqrt{5}\,\sqrt{{\mathrm{tan}\left(x\right)}^2+\frac{1}{5}}}{5}+\frac{1}{5}{}\mathrm{i}\right)\,1{}\mathrm{i}}{64}+\frac{\ln\left(\mathrm{tan}\left(x\right)+\frac{2\,\sqrt{5}\,\sqrt{{\mathrm{tan}\left(x\right)}^2+\frac{1}{5}}}{5}-\frac{1}{5}{}\mathrm{i}\right)\,1{}\mathrm{i}}{64}-\frac{\ln\left(\mathrm{tan}\left(x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{64}-\frac{\ln\left(\mathrm{tan}\left(x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{64}-\frac{\sqrt{{\mathrm{tan}\left(x\right)}^2+\frac{1}{5}}\,1{}\mathrm{i}}{96\,\left(\mathrm{tan}\left(x\right)-\frac{\sqrt{5}\,1{}\mathrm{i}}{5}\right)}+\frac{\sqrt{{\mathrm{tan}\left(x\right)}^2+\frac{1}{5}}\,1{}\mathrm{i}}{96\,\left(\mathrm{tan}\left(x\right)+\frac{\sqrt{5}\,1{}\mathrm{i}}{5}\right)}+\frac{\sqrt{5}\,\sqrt{{\mathrm{tan}\left(x\right)}^2+\frac{1}{5}}}{240\,\left({\mathrm{tan}\left(x\right)}^2+\frac{2{}\mathrm{i}\,\sqrt{5}\,\mathrm{tan}\left(x\right)}{5}-\frac{1}{5}\right)}-\frac{\sqrt{5}\,\sqrt{{\mathrm{tan}\left(x\right)}^2+\frac{1}{5}}}{240\,\left(-{\mathrm{tan}\left(x\right)}^2+\frac{2{}\mathrm{i}\,\sqrt{5}\,\mathrm{tan}\left(x\right)}{5}+\frac{1}{5}\right)}","Not used",1,"(log(tan(x) - (2*5^(1/2)*(tan(x)^2 + 1/5)^(1/2))/5 + 1i/5)*1i)/64 + (log(tan(x) + (2*5^(1/2)*(tan(x)^2 + 1/5)^(1/2))/5 - 1i/5)*1i)/64 - (log(tan(x) - 1i)*1i)/64 - (log(tan(x) + 1i)*1i)/64 - ((tan(x)^2 + 1/5)^(1/2)*1i)/(96*(tan(x) - (5^(1/2)*1i)/5)) + ((tan(x)^2 + 1/5)^(1/2)*1i)/(96*(tan(x) + (5^(1/2)*1i)/5)) + (5^(1/2)*(tan(x)^2 + 1/5)^(1/2))/(240*(tan(x)^2 + (5^(1/2)*tan(x)*2i)/5 - 1/5)) - (5^(1/2)*(tan(x)^2 + 1/5)^(1/2))/(240*((5^(1/2)*tan(x)*2i)/5 - tan(x)^2 + 1/5))","B"
442,1,250,133,1.447037,"\text{Not used}","int(tan(x)/(b^3*tan(x)^2 + a^3)^(1/3),x)","\frac{\ln\left(\frac{9\,{\left(a^3+b^3\,{\mathrm{tan}\left(x\right)}^2\right)}^{1/3}}{4}-\frac{9\,a^3-9\,b^3}{4\,{\left(a-b\right)}^{2/3}\,{\left(a^2+a\,b+b^2\right)}^{2/3}}\right)}{2\,{\left(a-b\right)}^{1/3}\,{\left(a^2+a\,b+b^2\right)}^{1/3}}+\frac{\ln\left(\frac{9\,{\left(a^3+b^3\,{\mathrm{tan}\left(x\right)}^2\right)}^{1/3}}{4}-\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(9\,a^3-9\,b^3\right)}{16\,{\left(a-b\right)}^{2/3}\,{\left(a^2+a\,b+b^2\right)}^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{4\,{\left(a-b\right)}^{1/3}\,{\left(a^2+a\,b+b^2\right)}^{1/3}}-\frac{\ln\left(\frac{9\,{\left(a^3+b^3\,{\mathrm{tan}\left(x\right)}^2\right)}^{1/3}}{4}-\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(9\,a^3-9\,b^3\right)}{16\,{\left(a-b\right)}^{2/3}\,{\left(a^2+a\,b+b^2\right)}^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{4\,{\left(a-b\right)}^{1/3}\,{\left(a^2+a\,b+b^2\right)}^{1/3}}","Not used",1,"log((9*(b^3*tan(x)^2 + a^3)^(1/3))/4 - (9*a^3 - 9*b^3)/(4*(a - b)^(2/3)*(a*b + a^2 + b^2)^(2/3)))/(2*(a - b)^(1/3)*(a*b + a^2 + b^2)^(1/3)) + (log((9*(b^3*tan(x)^2 + a^3)^(1/3))/4 - ((3^(1/2)*1i - 1)^2*(9*a^3 - 9*b^3))/(16*(a - b)^(2/3)*(a*b + a^2 + b^2)^(2/3)))*(3^(1/2)*1i - 1))/(4*(a - b)^(1/3)*(a*b + a^2 + b^2)^(1/3)) - (log((9*(b^3*tan(x)^2 + a^3)^(1/3))/4 - ((3^(1/2)*1i + 1)^2*(9*a^3 - 9*b^3))/(16*(a - b)^(2/3)*(a*b + a^2 + b^2)^(2/3)))*(3^(1/2)*1i + 1))/(4*(a - b)^(1/3)*(a*b + a^2 + b^2)^(1/3))","B"
443,1,101,69,0.717454,"\text{Not used}","int(tan(x)*(1 - 7*tan(x)^2)^(2/3),x)","2\,\ln\left(144\,{\left(1-7\,{\mathrm{tan}\left(x\right)}^2\right)}^{1/3}-288\right)+\frac{3\,{\left(1-7\,{\mathrm{tan}\left(x\right)}^2\right)}^{2/3}}{4}+\ln\left(144\,{\left(1-7\,{\mathrm{tan}\left(x\right)}^2\right)}^{1/3}-72\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)-\ln\left(144\,{\left(1-7\,{\mathrm{tan}\left(x\right)}^2\right)}^{1/3}-72\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)","Not used",1,"2*log(144*(1 - 7*tan(x)^2)^(1/3) - 288) + (3*(1 - 7*tan(x)^2)^(2/3))/4 + log(144*(1 - 7*tan(x)^2)^(1/3) - 72*(3^(1/2)*1i - 1)^2)*(3^(1/2)*1i - 1) - log(144*(1 - 7*tan(x)^2)^(1/3) - 72*(3^(1/2)*1i + 1)^2)*(3^(1/2)*1i + 1)","B"
444,1,46,52,0.414002,"\text{Not used}","int(cot(x)/(b^4/sin(x)^2 + a^4)^(1/4),x)","-\frac{\mathrm{atan}\left(\frac{{\left(\frac{b^4}{{\sin\left(x\right)}^2}+a^4\right)}^{1/4}}{a}\right)-\mathrm{atanh}\left(\frac{{\left(\frac{b^4}{{\sin\left(x\right)}^2}+a^4\right)}^{1/4}}{a}\right)}{a}","Not used",1,"-(atan((b^4/sin(x)^2 + a^4)^(1/4)/a) - atanh((b^4/sin(x)^2 + a^4)^(1/4)/a))/a","B"
445,0,-1,54,0.000000,"\text{Not used}","int(cot(x)/(a^4 - b^4/sin(x)^2)^(1/4),x)","\int \frac{\mathrm{cot}\left(x\right)}{{\left(a^4-\frac{b^4}{{\sin\left(x\right)}^2}\right)}^{1/4}} \,d x","Not used",1,"int(cot(x)/(a^4 - b^4/sin(x)^2)^(1/4), x)","F"
446,0,-1,133,0.000000,"\text{Not used}","int(-(tan(x)*(sin(x)^2*(1 - 3/cos(x)^2)^(1/3) + 3*tan(x)^2))/(cos(x)^2*((1 - 3/cos(x)^2)^(1/2) - 1)*(1 - 3/cos(x)^2)^(5/6)),x)","-\int \frac{\mathrm{tan}\left(x\right)\,\left({\sin\left(x\right)}^2\,{\left(1-\frac{3}{{\cos\left(x\right)}^2}\right)}^{1/3}+3\,{\mathrm{tan}\left(x\right)}^2\right)}{{\cos\left(x\right)}^2\,\left(\sqrt{1-\frac{3}{{\cos\left(x\right)}^2}}-1\right)\,{\left(1-\frac{3}{{\cos\left(x\right)}^2}\right)}^{5/6}} \,d x","Not used",1,"-int((tan(x)*(sin(x)^2*(1 - 3/cos(x)^2)^(1/3) + 3*tan(x)^2))/(cos(x)^2*((1 - 3/cos(x)^2)^(1/2) - 1)*(1 - 3/cos(x)^2)^(5/6)), x)","F"
447,0,-1,100,0.000000,"\text{Not used}","int(-(cos(2*x) - 2*tan(x)^2)/(cos(x)^2*(tan(2*x)*tan(x))^(3/2)),x)","-\int \frac{\cos\left(2\,x\right)-2\,{\mathrm{tan}\left(x\right)}^2}{{\cos\left(x\right)}^2\,{\left(\mathrm{tan}\left(2\,x\right)\,\mathrm{tan}\left(x\right)\right)}^{3/2}} \,d x","Not used",1,"-int((cos(2*x) - 2*tan(x)^2)/(cos(x)^2*(tan(2*x)*tan(x))^(3/2)), x)","F"
448,0,-1,112,0.000000,"\text{Not used}","int(tan(x)/(a^3 - b^3*cos(x)^n)^(4/3),x)","\int \frac{\mathrm{tan}\left(x\right)}{{\left(a^3-b^3\,{\cos\left(x\right)}^n\right)}^{4/3}} \,d x","Not used",1,"int(tan(x)/(a^3 - b^3*cos(x)^n)^(4/3), x)","F"
449,0,-1,95,0.000000,"\text{Not used}","int(tan(x)*(2*cos(x)^9 + 1)^(5/6),x)","\int \mathrm{tan}\left(x\right)\,{\left(2\,{\cos\left(x\right)}^9+1\right)}^{5/6} \,d x","Not used",1,"int(tan(x)*(2*cos(x)^9 + 1)^(5/6), x)","F"
450,0,-1,49,0.000000,"\text{Not used}","int((cot(x)*sin(x)^9)/(2 - 5*sin(x)^3)^(4/3),x)","\int \frac{\mathrm{cot}\left(x\right)\,{\sin\left(x\right)}^9}{{\left(2-5\,{\sin\left(x\right)}^3\right)}^{4/3}} \,d x","Not used",1,"int((cot(x)*sin(x)^9)/(2 - 5*sin(x)^3)^(4/3), x)","F"
451,1,43,20,0.621157,"\text{Not used}","int((tan(x)*((1 - 8*tan(x)^2)^(1/3) + 1))/(cos(x)^2*(1 - 8*tan(x)^2)^(2/3)),x)","-\frac{3\,\left({\left(18\,{\cos\left(x\right)}^2-16\right)}^{1/3}+2\,{\left(2\,{\cos\left(x\right)}^2\right)}^{1/3}\right)\,{\left(18\,{\cos\left(x\right)}^2-16\right)}^{1/3}}{32\,{\left(2\,{\cos\left(x\right)}^2\right)}^{2/3}}","Not used",1,"-(3*((18*cos(x)^2 - 16)^(1/3) + 2*(2*cos(x)^2)^(1/3))*(18*cos(x)^2 - 16)^(1/3))/(32*(2*cos(x)^2)^(2/3))","B"
452,0,-1,27,0.000000,"\text{Not used}","int((cot(x)*((1 - 8*tan(x)^2)^(1/3) + 1))/(cos(x)^2*(1 - 8*tan(x)^2)^(2/3)),x)","\int \frac{\mathrm{cot}\left(x\right)\,\left({\left(1-8\,{\mathrm{tan}\left(x\right)}^2\right)}^{1/3}+1\right)}{{\cos\left(x\right)}^2\,{\left(1-8\,{\mathrm{tan}\left(x\right)}^2\right)}^{2/3}} \,d x","Not used",1,"int((cot(x)*((1 - 8*tan(x)^2)^(1/3) + 1))/(cos(x)^2*(1 - 8*tan(x)^2)^(2/3)), x)","F"
453,0,-1,101,0.000000,"\text{Not used}","int((tan(x)*(5*cos(x)^2 - (5*sin(x)^2 - 1)^(1/2)))/((5*sin(x)^2 - 1)^(1/4)*((5*sin(x)^2 - 1)^(1/2) + 2)),x)","\int \frac{\mathrm{tan}\left(x\right)\,\left(5\,{\cos\left(x\right)}^2-\sqrt{5\,{\sin\left(x\right)}^2-1}\right)}{{\left(5\,{\sin\left(x\right)}^2-1\right)}^{1/4}\,\left(\sqrt{5\,{\sin\left(x\right)}^2-1}+2\right)} \,d x","Not used",1,"int((tan(x)*(5*cos(x)^2 - (5*sin(x)^2 - 1)^(1/2)))/((5*sin(x)^2 - 1)^(1/4)*((5*sin(x)^2 - 1)^(1/2) + 2)), x)","F"
454,0,-1,25,0.000000,"\text{Not used}","int(cos(2*x)^(2/3)*cos(x)^4*tan(x),x)","\int {\cos\left(2\,x\right)}^{2/3}\,{\cos\left(x\right)}^4\,\mathrm{tan}\left(x\right) \,d x","Not used",1,"int(cos(2*x)^(2/3)*cos(x)^4*tan(x), x)","F"
455,0,-1,102,0.000000,"\text{Not used}","int((sin(x)^6*tan(x))/cos(2*x)^(3/4),x)","\int \frac{{\sin\left(x\right)}^6\,\mathrm{tan}\left(x\right)}{{\cos\left(2\,x\right)}^{3/4}} \,d x","Not used",1,"int((sin(x)^6*tan(x))/cos(2*x)^(3/4), x)","F"
456,0,-1,17,0.000000,"\text{Not used}","int((tan(2*x)*tan(x))^(1/2),x)","\int \sqrt{\mathrm{tan}\left(2\,x\right)\,\mathrm{tan}\left(x\right)} \,d x","Not used",1,"int((tan(2*x)*tan(x))^(1/2), x)","F"
457,0,-1,32,0.000000,"\text{Not used}","int((cot(2*x)/cot(x))^(1/2),x)","\int \sqrt{\frac{\mathrm{cot}\left(2\,x\right)}{\mathrm{cot}\left(x\right)}} \,d x","Not used",1,"int((cot(2*x)/cot(x))^(1/2), x)","F"
458,1,24,31,0.308417,"\text{Not used}","int(1/(x^5*(x^2 + 5)),x)","\frac{\ln\left(x\right)}{125}-\frac{\ln\left(x^2+5\right)}{250}+\frac{\frac{x^2}{50}-\frac{1}{20}}{x^4}","Not used",1,"log(x)/125 - log(x^2 + 5)/250 + (x^2/50 - 1/20)/x^4","B"
459,1,30,39,0.034961,"\text{Not used}","int(1/(x^6*(x^2 + 5)),x)","-\frac{\frac{x^4}{125}-\frac{x^2}{75}+\frac{1}{25}}{x^5}-\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{\sqrt{5}\,x}{5}\right)}{625}","Not used",1,"- (x^4/125 - x^2/75 + 1/25)/x^5 - (5^(1/2)*atan((5^(1/2)*x)/5))/625","B"
460,1,44,58,0.082099,"\text{Not used}","int(1/(x*(x^2 - 4)^4),x)","\frac{\ln\left(x\right)}{256}-\frac{\ln\left(x^2-4\right)}{512}-\frac{\frac{x^4}{128}-\frac{5\,x^2}{64}+\frac{11}{48}}{x^6-12\,x^4+48\,x^2-64}","Not used",1,"log(x)/256 - log(x^2 - 4)/512 - (x^4/128 - (5*x^2)/64 + 11/48)/(48*x^2 - 12*x^4 + x^6 - 64)","B"
461,1,34,52,0.470693,"\text{Not used}","int(1/(x*(x^2 - 2)^(5/2)),x)","\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{x^2-2}}{2}\right)}{8}+\frac{\frac{x^2}{4}-\frac{2}{3}}{{\left(x^2-2\right)}^{3/2}}","Not used",1,"(2^(1/2)*atan((2^(1/2)*(x^2 - 2)^(1/2))/2))/8 + (x^2/4 - 2/3)/(x^2 - 2)^(3/2)","B"
462,1,46,61,0.467169,"\text{Not used}","int((x^2 - 10)^(5/2)/x,x)","100\,\sqrt{x^2-10}-100\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\sqrt{x^2-10}}{10}\right)-\frac{10\,{\left(x^2-10\right)}^{3/2}}{3}+\frac{{\left(x^2-10\right)}^{5/2}}{5}","Not used",1,"100*(x^2 - 10)^(1/2) - 100*10^(1/2)*atan((10^(1/2)*(x^2 - 10)^(1/2))/10) - (10*(x^2 - 10)^(3/2))/3 + (x^2 - 10)^(5/2)/5","B"
463,1,24,16,0.456010,"\text{Not used}","int(x^(2*n + 1),x)","\left\{\begin{array}{cl} \ln\left(x\right) & \text{\ if\ \ }n=-1\\ \frac{x^{2\,n+2}}{2\,\left(n+1\right)} & \text{\ if\ \ }n\neq -1 \end{array}\right.","Not used",1,"piecewise(n == -1, log(x), n ~= -1, x^(2*n + 2)/(2*(n + 1)))","B"
464,1,35,46,0.055415,"\text{Not used}","int(x^7/(x^2 - 5)^3,x)","\frac{15\,\ln\left(x^2-5\right)}{2}-\frac{\frac{75\,x^2}{2}-\frac{625}{4}}{x^4-10\,x^2+25}+\frac{x^2}{2}","Not used",1,"(15*log(x^2 - 5))/2 - ((75*x^2)/2 - 625/4)/(x^4 - 10*x^2 + 25) + x^2/2","B"
465,1,36,40,0.066378,"\text{Not used}","int(-(4*x^3 - 3*x^5)/(x^2 - 1)^5,x)","-\frac{\frac{3\,x^4}{4}-\frac{7\,x^2}{6}+\frac{7}{24}}{x^8-4\,x^6+6\,x^4-4\,x^2+1}","Not used",1,"-((3*x^4)/4 - (7*x^2)/6 + 7/24)/(6*x^4 - 4*x^2 - 4*x^6 + x^8 + 1)","B"
466,1,20,27,0.377517,"\text{Not used}","int(x^3*(x^2 + 1)^(9/14),x)","{\left(x^2+1\right)}^{9/14}\,\left(\frac{7\,x^4}{37}+\frac{63\,x^2}{851}-\frac{98}{851}\right)","Not used",1,"(x^2 + 1)^(9/14)*((63*x^2)/851 + (7*x^4)/37 - 98/851)","B"
467,1,21,38,0.453878,"\text{Not used}","int(x^5/(x^2 - 4)^(13/6),x)","\frac{3\,\left(7\,x^4-336\,x^2+1152\right)}{35\,{\left(x^2-4\right)}^{7/6}}","Not used",1,"(3*(7*x^4 - 336*x^2 + 1152))/(35*(x^2 - 4)^(7/6))","B"
468,1,99,33,0.044783,"\text{Not used}","int(1/(2*x^2 + 1)^(5/2),x)","\frac{\sqrt{x^2+\frac{1}{2}}\,1{}\mathrm{i}}{24\,\left(-x^2+1{}\mathrm{i}\,\sqrt{2}\,x+\frac{1}{2}\right)}+\frac{\sqrt{x^2+\frac{1}{2}}\,1{}\mathrm{i}}{24\,\left(x^2+1{}\mathrm{i}\,\sqrt{2}\,x-\frac{1}{2}\right)}+\frac{\sqrt{2}\,\sqrt{x^2+\frac{1}{2}}}{6\,\left(x-\frac{\sqrt{2}\,1{}\mathrm{i}}{2}\right)}+\frac{\sqrt{2}\,\sqrt{x^2+\frac{1}{2}}}{6\,\left(x+\frac{\sqrt{2}\,1{}\mathrm{i}}{2}\right)}","Not used",1,"((x^2 + 1/2)^(1/2)*1i)/(24*(2^(1/2)*x*1i - x^2 + 1/2)) + ((x^2 + 1/2)^(1/2)*1i)/(24*(2^(1/2)*x*1i + x^2 - 1/2)) + (2^(1/2)*(x^2 + 1/2)^(1/2))/(6*(x - (2^(1/2)*1i)/2)) + (2^(1/2)*(x^2 + 1/2)^(1/2))/(6*(x + (2^(1/2)*1i)/2))","B"
469,1,22,43,0.283474,"\text{Not used}","int(1/(x^2 - 2*x - 1)^(5/2),x)","\frac{x^3-3\,x^2+2}{6\,{\left(x^2-2\,x-1\right)}^{3/2}}","Not used",1,"(x^3 - 3*x^2 + 2)/(6*(x^2 - 2*x - 1)^(3/2))","B"
470,1,24,47,0.449414,"\text{Not used}","int(1/(x^4*(x^2 - 8)^(3/2)),x)","\frac{-x^4+4\,x^2+8}{192\,x^3\,\sqrt{x^2-8}}","Not used",1,"(4*x^2 - x^4 + 8)/(192*x^3*(x^2 - 8)^(1/2))","B"
471,1,17,28,0.271513,"\text{Not used}","int((x^2 + 5)^2/x^(13/3),x)","-\frac{-3\,x^4+15\,x^2+15}{2\,x^{10/3}}","Not used",1,"-(15*x^2 - 3*x^4 + 15)/(2*x^(10/3))","B"
472,1,51,52,0.051855,"\text{Not used}","int(1/(x^7*(x^2 + 1)^3),x)","5\,\ln\left(x^2+1\right)-10\,\ln\left(x\right)-\frac{5\,x^8+\frac{15\,x^6}{2}+\frac{5\,x^4}{3}-\frac{5\,x^2}{12}+\frac{1}{6}}{x^{10}+2\,x^8+x^6}","Not used",1,"5*log(x^2 + 1) - 10*log(x) - ((5*x^4)/3 - (5*x^2)/12 + (15*x^6)/2 + 5*x^8 + 1/6)/(x^6 + 2*x^8 + x^10)","B"
473,1,15,25,0.449898,"\text{Not used}","int(((x^2 + 2)/x^2)^(7/9)/(x^2 + 2)^(3/2),x)","-\frac{9\,x\,{\left(x^2+2\right)}^{5/18}\,{\left(\frac{1}{x^2}\right)}^{7/9}}{10}","Not used",1,"-(9*x*(x^2 + 2)^(5/18)*(1/x^2)^(7/9))/10","B"
474,0,-1,50,0.000000,"\text{Not used}","int(x^4/(10^(1/2) - x^2)^(9/2),x)","\int \frac{x^4}{{\left(\sqrt{10}-x^2\right)}^{9/2}} \,d x","Not used",1,"int(x^4/(10^(1/2) - x^2)^(9/2), x)","F"
475,1,54,24,0.302944,"\text{Not used}","int(x^2/(3 - x^2)^(3/2),x)","-\mathrm{asin}\left(\frac{\sqrt{3}\,x}{3}\right)-\frac{\sqrt{3-x^2}}{2\,\left(x-\sqrt{3}\right)}-\frac{\sqrt{3-x^2}}{2\,\left(x+\sqrt{3}\right)}","Not used",1,"- asin((3^(1/2)*x)/3) - (3 - x^2)^(1/2)/(2*(x - 3^(1/2))) - (3 - x^2)^(1/2)/(2*(x + 3^(1/2)))","B"
476,1,33,40,0.041393,"\text{Not used}","int((25 - x^2)^(3/2)/x^4,x)","\mathrm{asin}\left(\frac{x}{5}\right)+\frac{4\,\sqrt{25-x^2}}{3\,x}-\frac{25\,\sqrt{25-x^2}}{3\,x^3}","Not used",1,"asin(x/5) + (4*(25 - x^2)^(1/2))/(3*x) - (25*(25 - x^2)^(1/2))/(3*x^3)","B"
477,1,179,49,0.275641,"\text{Not used}","int(1/(1 - 2*x^2)^(7/2),x)","\frac{19\,\sqrt{\frac{1}{2}-x^2}}{480\,\left(x^2-\sqrt{2}\,x+\frac{1}{2}\right)}-\frac{19\,\sqrt{\frac{1}{2}-x^2}}{480\,\left(x^2+\sqrt{2}\,x+\frac{1}{2}\right)}-\frac{\sqrt{2}\,\sqrt{\frac{1}{2}-x^2}}{160\,\left(x^3-\frac{3\,\sqrt{2}\,x^2}{2}+\frac{3\,x}{2}-\frac{\sqrt{2}}{4}\right)}-\frac{\sqrt{2}\,\sqrt{\frac{1}{2}-x^2}}{160\,\left(x^3+\frac{3\,\sqrt{2}\,x^2}{2}+\frac{3\,x}{2}+\frac{\sqrt{2}}{4}\right)}-\frac{2\,\sqrt{2}\,\sqrt{\frac{1}{2}-x^2}}{15\,\left(x-\frac{\sqrt{2}}{2}\right)}-\frac{2\,\sqrt{2}\,\sqrt{\frac{1}{2}-x^2}}{15\,\left(x+\frac{\sqrt{2}}{2}\right)}","Not used",1,"(19*(1/2 - x^2)^(1/2))/(480*(x^2 - 2^(1/2)*x + 1/2)) - (19*(1/2 - x^2)^(1/2))/(480*(2^(1/2)*x + x^2 + 1/2)) - (2^(1/2)*(1/2 - x^2)^(1/2))/(160*((3*x)/2 - 2^(1/2)/4 - (3*2^(1/2)*x^2)/2 + x^3)) - (2^(1/2)*(1/2 - x^2)^(1/2))/(160*((3*x)/2 + 2^(1/2)/4 + (3*2^(1/2)*x^2)/2 + x^3)) - (2*2^(1/2)*(1/2 - x^2)^(1/2))/(15*(x - 2^(1/2)/2)) - (2*2^(1/2)*(1/2 - x^2)^(1/2))/(15*(x + 2^(1/2)/2))","B"
478,1,29,47,0.289315,"\text{Not used}","int(1/(6*x - x^2 - 7)^(5/2),x)","-\frac{\left(4\,x-12\right)\,\left(8\,x^2-48\,x+48\right)}{192\,{\left(-x^2+6\,x-7\right)}^{3/2}}","Not used",1,"-((4*x - 12)*(8*x^2 - 48*x + 48))/(192*(6*x - x^2 - 7)^(3/2))","B"
479,1,32,36,0.033168,"\text{Not used}","int(-(2*x + 2*x^2 - 1)^3,x)","-\frac{8\,x^7}{7}-4\,x^6-\frac{12\,x^5}{5}+4\,x^4+2\,x^3-3\,x^2+x","Not used",1,"x - 3*x^2 + 2*x^3 + 4*x^4 - (12*x^5)/5 - 4*x^6 - (8*x^7)/7","B"
480,1,29,39,0.028571,"\text{Not used}","int((5*x - 1)*(x - x^2 + 1)^2,x)","\frac{5\,x^6}{6}-\frac{11\,x^5}{5}-\frac{3\,x^4}{4}+\frac{11\,x^3}{3}+\frac{3\,x^2}{2}-x","Not used",1,"(3*x^2)/2 - x + (11*x^3)/3 - (3*x^4)/4 - (11*x^5)/5 + (5*x^6)/6","B"
481,1,29,47,0.364983,"\text{Not used}","int((3*x + 1)/(2*x^2 - 8*x + 1)^(5/2),x)","\frac{8\,x^3-48\,x^2+54\,x-1}{42\,{\left(2\,x^2-8\,x+1\right)}^{3/2}}","Not used",1,"(54*x - 48*x^2 + 8*x^3 - 1)/(42*(2*x^2 - 8*x + 1)^(3/2))","B"
482,1,29,45,0.187090,"\text{Not used}","int(-(8*x - 8*x^3 + 1)/(2*x - 4*x^2 + 1)^(5/2),x)","-\frac{-488\,x^3+216\,x^2+156\,x+27}{75\,{\left(-4\,x^2+2\,x+1\right)}^{3/2}}","Not used",1,"-(156*x + 216*x^2 - 488*x^3 + 27)/(75*(2*x - 4*x^2 + 1)^(3/2))","B"
483,1,69,83,0.395699,"\text{Not used}","int(x^2*cos(x)^5,x)","\frac{8\,x\,{\cos\left(x\right)}^3}{45}-\frac{4144\,\sin\left(x\right)}{3375}+\frac{2\,x\,{\cos\left(x\right)}^5}{25}+\frac{8\,x^2\,\sin\left(x\right)}{15}-\frac{272\,{\cos\left(x\right)}^2\,\sin\left(x\right)}{3375}-\frac{2\,{\cos\left(x\right)}^4\,\sin\left(x\right)}{125}+\frac{16\,x\,\cos\left(x\right)}{15}+\frac{4\,x^2\,{\cos\left(x\right)}^2\,\sin\left(x\right)}{15}+\frac{x^2\,{\cos\left(x\right)}^4\,\sin\left(x\right)}{5}","Not used",1,"(8*x*cos(x)^3)/45 - (4144*sin(x))/3375 + (2*x*cos(x)^5)/25 + (8*x^2*sin(x))/15 - (272*cos(x)^2*sin(x))/3375 - (2*cos(x)^4*sin(x))/125 + (16*x*cos(x))/15 + (4*x^2*cos(x)^2*sin(x))/15 + (x^2*cos(x)^4*sin(x))/5","B"
484,1,59,73,0.334834,"\text{Not used}","int(x^3*sin(x)^3,x)","\frac{7\,x^2\,\sin\left(x\right)}{3}-\frac{2\,x\,{\cos\left(x\right)}^3}{9}-x^3\,\cos\left(x\right)-\frac{122\,\sin\left(x\right)}{27}+\frac{x^3\,{\cos\left(x\right)}^3}{3}+\frac{2\,{\cos\left(x\right)}^2\,\sin\left(x\right)}{27}+\frac{14\,x\,\cos\left(x\right)}{3}-\frac{x^2\,{\cos\left(x\right)}^2\,\sin\left(x\right)}{3}","Not used",1,"(7*x^2*sin(x))/3 - (2*x*cos(x)^3)/9 - x^3*cos(x) - (122*sin(x))/27 + (x^3*cos(x)^3)/3 + (2*cos(x)^2*sin(x))/27 + (14*x*cos(x))/3 - (x^2*cos(x)^2*sin(x))/3","B"
485,1,88,105,0.397935,"\text{Not used}","int(x^2*sin(x)^6,x)","\frac{15\,\sin\left(2\,x\right)}{128}-\frac{3\,\sin\left(4\,x\right)}{512}+\frac{\sin\left(6\,x\right)}{3456}-\frac{3\,x\,\left(2\,{\sin\left(2\,x\right)}^2-1\right)}{128}+\frac{x\,\left(2\,{\sin\left(3\,x\right)}^2-1\right)}{576}-\frac{15\,x^2\,\sin\left(2\,x\right)}{64}+\frac{3\,x^2\,\sin\left(4\,x\right)}{64}-\frac{x^2\,\sin\left(6\,x\right)}{192}+\frac{5\,x^3}{48}+\frac{15\,x\,\left(2\,{\sin\left(x\right)}^2-1\right)}{64}","Not used",1,"(15*sin(2*x))/128 - (3*sin(4*x))/512 + sin(6*x)/3456 - (3*x*(2*sin(2*x)^2 - 1))/128 + (x*(2*sin(3*x)^2 - 1))/576 - (15*x^2*sin(2*x))/64 + (3*x^2*sin(4*x))/64 - (x^2*sin(6*x))/192 + (5*x^3)/48 + (15*x*(2*sin(x)^2 - 1))/64","B"
486,1,40,44,0.074995,"\text{Not used}","int(x^2*cos(x)*sin(x)^2,x)","\frac{x^2\,{\sin\left(x\right)}^3}{3}+\frac{4\,x\,{\cos\left(x\right)}^3}{9}+\frac{2\,x\,\cos\left(x\right)\,{\sin\left(x\right)}^2}{3}-\frac{4\,{\cos\left(x\right)}^2\,\sin\left(x\right)}{9}-\frac{14\,{\sin\left(x\right)}^3}{27}","Not used",1,"(4*x*cos(x)^3)/9 - (14*sin(x)^3)/27 + (x^2*sin(x)^3)/3 - (4*cos(x)^2*sin(x))/9 + (2*x*cos(x)*sin(x)^2)/3","B"
487,1,56,33,0.492073,"\text{Not used}","int((x*cos(x)^4)/sin(x)^2,x)","\ln\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-1\right)-{\mathrm{e}}^{-x\,2{}\mathrm{i}}\,\left(\frac{1}{16}+\frac{x\,1{}\mathrm{i}}{8}\right)+{\mathrm{e}}^{x\,2{}\mathrm{i}}\,\left(-\frac{1}{16}+\frac{x\,1{}\mathrm{i}}{8}\right)-\frac{3\,x^2}{4}-x\,2{}\mathrm{i}-\frac{x\,2{}\mathrm{i}}{{\mathrm{e}}^{x\,2{}\mathrm{i}}-1}","Not used",1,"log(exp(x*2i) - 1) - x*2i - exp(-x*2i)*((x*1i)/8 + 1/16) + exp(x*2i)*((x*1i)/8 - 1/16) - (x*2i)/(exp(x*2i) - 1) - (3*x^2)/4","B"
488,1,35,30,0.495962,"\text{Not used}","int((x*sin(x)^3)/cos(x)^4,x)","-\frac{x\,{\cos\left(x\right)}^2-\frac{x}{3}+\frac{\sin\left(2\,x\right)}{12}}{{\cos\left(x\right)}^3}-\frac{\mathrm{atan}\left(\cos\left(x\right)+\sin\left(x\right)\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{3}","Not used",1,"- (atan(cos(x) + sin(x)*1i)*5i)/3 - (sin(2*x)/12 - x/3 + x*cos(x)^2)/cos(x)^3","B"
489,1,16,16,0.351603,"\text{Not used}","int((x*sin(x))/cos(x)^3,x)","\frac{2\,x-\sin\left(2\,x\right)}{4\,{\cos\left(x\right)}^2}","Not used",1,"(2*x - sin(2*x))/(4*cos(x)^2)","B"
490,0,-1,62,0.000000,"\text{Not used}","int((x*sin(x)^3)/cos(x),x)","\int \frac{x\,{\sin\left(x\right)}^3}{\cos\left(x\right)} \,d x","Not used",1,"int((x*sin(x)^3)/cos(x), x)","F"
491,0,-1,59,0.000000,"\text{Not used}","int((x*sin(x)^3)/cos(x)^3,x)","\int \frac{x\,{\sin\left(x\right)}^3}{{\cos\left(x\right)}^3} \,d x","Not used",1,"int((x*sin(x)^3)/cos(x)^3, x)","F"
492,0,-1,12,0.000000,"\text{Not used}","int((2*x + sin(2*x))/(cos(x) + x*sin(x))^2,x)","\int \frac{2\,x+\sin\left(2\,x\right)}{{\left(\cos\left(x\right)+x\,\sin\left(x\right)\right)}^2} \,d x","Not used",1,"int((2*x + sin(2*x))/(cos(x) + x*sin(x))^2, x)","F"
493,0,-1,20,0.000000,"\text{Not used}","int(x^2/(sin(x) - x*cos(x))^2,x)","\int \frac{x^2}{{\left(\sin\left(x\right)-x\,\cos\left(x\right)\right)}^2} \,d x","Not used",1,"int(x^2/(sin(x) - x*cos(x))^2, x)","F"
494,1,22,22,0.326807,"\text{Not used}","int(a^(m*x)*b^(n*x),x)","\frac{a^{m\,x}\,b^{n\,x}}{m\,\ln\left(a\right)+n\,\ln\left(b\right)}","Not used",1,"(a^(m*x)*b^(n*x))/(m*log(a) + n*log(b))","B"
495,1,34,34,0.493399,"\text{Not used}","int((a^x - b^x)^2/(a^x*b^x),x)","\frac{\frac{a^x}{b^x}-\frac{b^x}{a^x}}{\ln\left(a\right)-\ln\left(b\right)}-2\,x","Not used",1,"(a^x/b^x - b^x/a^x)/(log(a) - log(b)) - 2*x","B"
496,1,4,9,0.050602,"\text{Not used}","int(exp(x) - exp(-x),x)","2\,\mathrm{cosh}\left(x\right)","Not used",1,"2*cosh(x)","B"
497,1,8,22,0.055658,"\text{Not used}","int((exp(-x) - exp(x))^2,x)","\mathrm{sinh}\left(2\,x\right)-2\,x","Not used",1,"sinh(2*x) - 2*x","B"
498,1,23,31,0.306612,"\text{Not used}","int(-(exp(-x) - exp(x))^3,x)","\frac{{\mathrm{e}}^{-3\,x}}{3}-3\,{\mathrm{e}}^{-x}+\frac{{\mathrm{e}}^{3\,x}}{3}-3\,{\mathrm{e}}^x","Not used",1,"exp(-3*x)/3 - 3*exp(-x) + exp(3*x)/3 - 3*exp(x)","B"
499,1,28,36,0.344068,"\text{Not used}","int((exp(-x) - exp(x))^4,x)","6\,x+2\,{\mathrm{e}}^{-2\,x}-2\,{\mathrm{e}}^{2\,x}-\frac{{\mathrm{e}}^{-4\,x}}{4}+\frac{{\mathrm{e}}^{4\,x}}{4}","Not used",1,"6*x + 2*exp(-2*x) - 2*exp(2*x) - exp(-4*x)/4 + exp(4*x)/4","B"
500,0,-1,48,0.000000,"\text{Not used}","int((exp(x) - exp(-x))^n,x)","\int {\left({\mathrm{e}}^x-{\mathrm{e}}^{-x}\right)}^n \,d x","Not used",1,"int((exp(x) - exp(-x))^n, x)","F"
501,1,41,43,0.411178,"\text{Not used}","int(-(a^(2*x) - 1/a^(4*x))^3,x)","3\,x+\frac{1}{2\,a^{6\,x}\,\ln\left(a\right)}-\frac{a^{6\,x}}{6\,\ln\left(a\right)}-\frac{1}{12\,a^{12\,x}\,\ln\left(a\right)}","Not used",1,"3*x + 1/(2*a^(6*x)*log(a)) - a^(6*x)/(6*log(a)) - 1/(12*a^(12*x)*log(a))","B"
502,1,26,27,0.362258,"\text{Not used}","int(a^(k*x) + a^(l*x),x)","\frac{a^{k\,x}\,l+a^{l\,x}\,k}{k\,l\,\ln\left(a\right)}","Not used",1,"(a^(k*x)*l + a^(l*x)*k)/(k*l*log(a))","B"
503,1,68,53,0.383686,"\text{Not used}","int((a^(k*x) + a^(l*x))^2,x)","\frac{a^{2\,k\,x}}{2\,k\,\ln\left(a\right)}+\frac{\frac{a^{2\,l\,x}\,k^2}{2}+l\,\left(2\,a^{k\,x+l\,x}\,k+\frac{a^{2\,l\,x}\,k}{2}\right)}{k\,l\,\ln\left(a\right)\,\left(k+l\right)}","Not used",1,"a^(2*k*x)/(2*k*log(a)) + ((a^(2*l*x)*k^2)/2 + l*(2*a^(k*x + l*x)*k + (a^(2*l*x)*k)/2))/(k*l*log(a)*(k + l))","B"
504,1,81,79,0.390153,"\text{Not used}","int((a^(k*x) + a^(l*x))^3,x)","\frac{3\,a^{k\,x}\,a^{2\,l\,x}}{k\,\ln\left(a\right)+2\,l\,\ln\left(a\right)}+\frac{3\,a^{2\,k\,x}\,a^{l\,x}}{2\,k\,\ln\left(a\right)+l\,\ln\left(a\right)}+\frac{a^{3\,k\,x}}{3\,k\,\ln\left(a\right)}+\frac{a^{3\,l\,x}}{3\,l\,\ln\left(a\right)}","Not used",1,"(3*a^(k*x)*a^(2*l*x))/(k*log(a) + 2*l*log(a)) + (3*a^(2*k*x)*a^(l*x))/(2*k*log(a) + l*log(a)) + a^(3*k*x)/(3*k*log(a)) + a^(3*l*x)/(3*l*log(a))","B"
505,1,106,98,0.419251,"\text{Not used}","int((a^(k*x) + a^(l*x))^4,x)","\frac{3\,a^{2\,k\,x}\,a^{2\,l\,x}}{k\,\ln\left(a\right)+l\,\ln\left(a\right)}+\frac{4\,a^{k\,x}\,a^{3\,l\,x}}{k\,\ln\left(a\right)+3\,l\,\ln\left(a\right)}+\frac{4\,a^{3\,k\,x}\,a^{l\,x}}{3\,k\,\ln\left(a\right)+l\,\ln\left(a\right)}+\frac{a^{4\,k\,x}}{4\,k\,\ln\left(a\right)}+\frac{a^{4\,l\,x}}{4\,l\,\ln\left(a\right)}","Not used",1,"(3*a^(2*k*x)*a^(2*l*x))/(k*log(a) + l*log(a)) + (4*a^(k*x)*a^(3*l*x))/(k*log(a) + 3*l*log(a)) + (4*a^(3*k*x)*a^(l*x))/(3*k*log(a) + l*log(a)) + a^(4*k*x)/(4*k*log(a)) + a^(4*l*x)/(4*l*log(a))","B"
506,0,-1,72,0.000000,"\text{Not used}","int((a^(k*x) + a^(l*x))^n,x)","\int {\left(a^{k\,x}+a^{l\,x}\right)}^n \,d x","Not used",1,"int((a^(k*x) + a^(l*x))^n, x)","F"
507,1,27,28,0.309903,"\text{Not used}","int(a^(k*x) - a^(l*x),x)","\frac{a^{k\,x}\,l-a^{l\,x}\,k}{k\,l\,\ln\left(a\right)}","Not used",1,"(a^(k*x)*l - a^(l*x)*k)/(k*l*log(a))","B"
508,1,69,53,0.364841,"\text{Not used}","int((a^(k*x) - a^(l*x))^2,x)","\frac{a^{2\,k\,x}}{2\,k\,\ln\left(a\right)}+\frac{\frac{a^{2\,l\,x}\,k^2}{2}-l\,\left(2\,a^{k\,x+l\,x}\,k-\frac{a^{2\,l\,x}\,k}{2}\right)}{k\,l\,\ln\left(a\right)\,\left(k+l\right)}","Not used",1,"a^(2*k*x)/(2*k*log(a)) + ((a^(2*l*x)*k^2)/2 - l*(2*a^(k*x + l*x)*k - (a^(2*l*x)*k)/2))/(k*l*log(a)*(k + l))","B"
509,1,81,79,0.363750,"\text{Not used}","int((a^(k*x) - a^(l*x))^3,x)","\frac{3\,a^{k\,x}\,a^{2\,l\,x}}{k\,\ln\left(a\right)+2\,l\,\ln\left(a\right)}-\frac{3\,a^{2\,k\,x}\,a^{l\,x}}{2\,k\,\ln\left(a\right)+l\,\ln\left(a\right)}+\frac{a^{3\,k\,x}}{3\,k\,\ln\left(a\right)}-\frac{a^{3\,l\,x}}{3\,l\,\ln\left(a\right)}","Not used",1,"(3*a^(k*x)*a^(2*l*x))/(k*log(a) + 2*l*log(a)) - (3*a^(2*k*x)*a^(l*x))/(2*k*log(a) + l*log(a)) + a^(3*k*x)/(3*k*log(a)) - a^(3*l*x)/(3*l*log(a))","B"
510,1,106,98,0.350121,"\text{Not used}","int((a^(k*x) - a^(l*x))^4,x)","\frac{3\,a^{2\,k\,x}\,a^{2\,l\,x}}{k\,\ln\left(a\right)+l\,\ln\left(a\right)}-\frac{4\,a^{k\,x}\,a^{3\,l\,x}}{k\,\ln\left(a\right)+3\,l\,\ln\left(a\right)}-\frac{4\,a^{3\,k\,x}\,a^{l\,x}}{3\,k\,\ln\left(a\right)+l\,\ln\left(a\right)}+\frac{a^{4\,k\,x}}{4\,k\,\ln\left(a\right)}+\frac{a^{4\,l\,x}}{4\,l\,\ln\left(a\right)}","Not used",1,"(3*a^(2*k*x)*a^(2*l*x))/(k*log(a) + l*log(a)) - (4*a^(k*x)*a^(3*l*x))/(k*log(a) + 3*l*log(a)) - (4*a^(3*k*x)*a^(l*x))/(3*k*log(a) + l*log(a)) + a^(4*k*x)/(4*k*log(a)) + a^(4*l*x)/(4*l*log(a))","B"
511,0,-1,74,0.000000,"\text{Not used}","int((a^(k*x) - a^(l*x))^n,x)","\int {\left(a^{k\,x}-a^{l\,x}\right)}^n \,d x","Not used",1,"int((a^(k*x) - a^(l*x))^n, x)","F"
512,1,15,15,0.319494,"\text{Not used}","int(a^(m*x) + 1,x)","x+\frac{a^{m\,x}}{m\,\ln\left(a\right)}","Not used",1,"x + a^(m*x)/(m*log(a))","B"
513,1,26,33,0.317566,"\text{Not used}","int((a^(m*x) + 1)^2,x)","x+\frac{2\,a^{m\,x}+\frac{a^{2\,m\,x}}{2}}{m\,\ln\left(a\right)}","Not used",1,"x + (2*a^(m*x) + a^(2*m*x)/2)/(m*log(a))","B"
514,1,34,50,0.325776,"\text{Not used}","int((a^(m*x) + 1)^3,x)","x+\frac{3\,a^{m\,x}+\frac{3\,a^{2\,m\,x}}{2}+\frac{a^{3\,m\,x}}{3}}{m\,\ln\left(a\right)}","Not used",1,"x + (3*a^(m*x) + (3*a^(2*m*x))/2 + a^(3*m*x)/3)/(m*log(a))","B"
515,1,42,65,0.329597,"\text{Not used}","int((a^(m*x) + 1)^4,x)","x+\frac{4\,a^{m\,x}+3\,a^{2\,m\,x}+\frac{4\,a^{3\,m\,x}}{3}+\frac{a^{4\,m\,x}}{4}}{m\,\ln\left(a\right)}","Not used",1,"x + (4*a^(m*x) + 3*a^(2*m*x) + (4*a^(3*m*x))/3 + a^(4*m*x)/4)/(m*log(a))","B"
516,1,55,40,0.314788,"\text{Not used}","int((a^(m*x) + 1)^n,x)","\frac{{\left(a^{m\,x}+1\right)}^n\,{{}}_2{\mathrm{F}}_1\left(-n,-n;\ 1-n;\ -\frac{1}{a^{m\,x}}\right)}{m\,n\,\ln\left(a\right)\,{\left(\frac{1}{a^{m\,x}}+1\right)}^n}","Not used",1,"((a^(m*x) + 1)^n*hypergeom([-n, -n], 1 - n, -1/a^(m*x)))/(m*n*log(a)*(1/a^(m*x) + 1)^n)","B"
517,1,16,16,0.297291,"\text{Not used}","int(1 - a^(m*x),x)","x-\frac{a^{m\,x}}{m\,\ln\left(a\right)}","Not used",1,"x - a^(m*x)/(m*log(a))","B"
518,1,27,33,0.302720,"\text{Not used}","int((a^(m*x) - 1)^2,x)","x-\frac{2\,a^{m\,x}-\frac{a^{2\,m\,x}}{2}}{m\,\ln\left(a\right)}","Not used",1,"x - (2*a^(m*x) - a^(2*m*x)/2)/(m*log(a))","B"
519,1,35,50,0.316494,"\text{Not used}","int(-(a^(m*x) - 1)^3,x)","x-\frac{3\,a^{m\,x}-\frac{3\,a^{2\,m\,x}}{2}+\frac{a^{3\,m\,x}}{3}}{m\,\ln\left(a\right)}","Not used",1,"x - (3*a^(m*x) - (3*a^(2*m*x))/2 + a^(3*m*x)/3)/(m*log(a))","B"
520,1,43,65,0.311141,"\text{Not used}","int((a^(m*x) - 1)^4,x)","x-\frac{4\,a^{m\,x}-3\,a^{2\,m\,x}+\frac{4\,a^{3\,m\,x}}{3}-\frac{a^{4\,m\,x}}{4}}{m\,\ln\left(a\right)}","Not used",1,"x - (4*a^(m*x) - 3*a^(2*m*x) + (4*a^(3*m*x))/3 - a^(4*m*x)/4)/(m*log(a))","B"
521,1,57,44,0.316278,"\text{Not used}","int((1 - a^(m*x))^n,x)","\frac{{\left(1-a^{m\,x}\right)}^n\,{{}}_2{\mathrm{F}}_1\left(-n,-n;\ 1-n;\ \frac{1}{a^{m\,x}}\right)}{m\,n\,\ln\left(a\right)\,{\left(1-\frac{1}{a^{m\,x}}\right)}^n}","Not used",1,"((1 - a^(m*x))^n*hypergeom([-n, -n], 1 - n, 1/a^(m*x)))/(m*n*log(a)*(1 - 1/a^(m*x))^n)","B"
522,1,22,24,0.330906,"\text{Not used}","int(1/(b + a*exp(n*x)),x)","-\frac{\ln\left(b+a\,{\mathrm{e}}^{n\,x}\right)-n\,x}{b\,n}","Not used",1,"-(log(b + a*exp(n*x)) - n*x)/(b*n)","B"
523,1,104,100,1.512234,"\text{Not used}","int(exp(x)/(b + a*exp(3*x)),x)","\frac{\ln\left(\frac{b^{1/3}}{a^{7/3}}+\frac{{\mathrm{e}}^x}{a^2}\right)}{3\,a^{1/3}\,b^{2/3}}+\frac{\ln\left(\frac{{\mathrm{e}}^x}{a^2}+\frac{b^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^{7/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{1/3}\,b^{2/3}}-\frac{\ln\left(\frac{{\mathrm{e}}^x}{a^2}-\frac{b^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^{7/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{1/3}\,b^{2/3}}","Not used",1,"log(b^(1/3)/a^(7/3) + exp(x)/a^2)/(3*a^(1/3)*b^(2/3)) + (log(exp(x)/a^2 + (b^(1/3)*(3^(1/2)*1i - 1))/(2*a^(7/3)))*(3^(1/2)*1i - 1))/(6*a^(1/3)*b^(2/3)) - (log(exp(x)/a^2 - (b^(1/3)*(3^(1/2)*1i + 1))/(2*a^(7/3)))*(3^(1/2)*1i + 1))/(6*a^(1/3)*b^(2/3))","B"
524,1,11,12,0.048558,"\text{Not used}","int((exp(x) - 1)/(exp(x) + 1),x)","2\,\ln\left({\mathrm{e}}^x+1\right)-x","Not used",1,"2*log(exp(x) + 1) - x","B"
525,1,39,47,0.325111,"\text{Not used}","int(exp(4*x)/(3*exp(4*x) - 2*exp(2*x) + 1),x)","\frac{\ln\left(3\,{\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1\right)}{12}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}}{2}-\frac{3\,\sqrt{2}\,{\mathrm{e}}^{2\,x}}{2}\right)}{12}","Not used",1,"log(3*exp(4*x) - 2*exp(2*x) + 1)/12 - (2^(1/2)*atan(2^(1/2)/2 - (3*2^(1/2)*exp(2*x))/2))/12","B"
526,1,28,39,0.088086,"\text{Not used}","int(-(exp(5*x) + exp(x))/(exp(2*x) - exp(3*x) - exp(x) + 1),x)","\frac{{\mathrm{e}}^{2\,x}}{2}-\frac{\ln\left({\mathrm{e}}^{2\,x}+1\right)}{2}-\mathrm{atan}\left({\mathrm{e}}^x\right)+\ln\left({\mathrm{e}}^x-1\right)+{\mathrm{e}}^x","Not used",1,"exp(2*x)/2 - log(exp(2*x) + 1)/2 - atan(exp(x)) + log(exp(x) - 1) + exp(x)","B"
527,1,29,30,0.354588,"\text{Not used}","int(exp(n*x)*(a + b*exp(n*x))^(r/s),x)","\frac{s\,{\left(a+b\,{\mathrm{e}}^{n\,x}\right)}^{\frac{r}{s}+1}}{b\,n\,\left(r+s\right)}","Not used",1,"(s*(a + b*exp(n*x))^(r/s + 1))/(b*n*(r + s))","B"
528,1,33,54,0.347167,"\text{Not used}","int((1 - 2*exp(x/3))^(1/4),x)","\frac{12\,{\left(2-4\,{\mathrm{e}}^{x/3}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},-\frac{1}{4};\ \frac{3}{4};\ \frac{{\mathrm{e}}^{-\frac{x}{3}}}{2}\right)}{{\left(2-{\mathrm{e}}^{-\frac{x}{3}}\right)}^{1/4}}","Not used",1,"(12*(2 - 4*exp(x/3))^(1/4)*hypergeom([-1/4, -1/4], 3/4, exp(-x/3)/2))/(2 - exp(-x/3))^(1/4)","B"
529,1,75,59,0.404367,"\text{Not used}","int((a + b*exp(n*x))^(r/s),x)","\frac{s\,{\left(a+b\,{\mathrm{e}}^{n\,x}\right)}^{r/s}\,{{}}_2{\mathrm{F}}_1\left(-\frac{r}{s},-\frac{r}{s};\ 1-\frac{r}{s};\ -\frac{a\,{\mathrm{e}}^{-n\,x}}{b}\right)}{n\,r\,{\left(\frac{a\,{\mathrm{e}}^{-n\,x}}{b}+1\right)}^{r/s}}","Not used",1,"(s*(a + b*exp(n*x))^(r/s)*hypergeom([-r/s, -r/s], 1 - r/s, -(a*exp(-n*x))/b))/(n*r*((a*exp(-n*x))/b + 1)^(r/s))","B"
530,1,14,18,0.405790,"\text{Not used}","int(exp(x)/(exp(2*x) + a^2)^(1/2),x)","\ln\left({\mathrm{e}}^x+\sqrt{a^2+{\mathrm{e}}^{2\,x}}\right)","Not used",1,"log(exp(x) + (exp(2*x) + a^2)^(1/2))","B"
531,1,16,20,0.408605,"\text{Not used}","int(exp(x)/(exp(2*x) - a^2)^(1/2),x)","\ln\left({\mathrm{e}}^x+\sqrt{{\mathrm{e}}^{2\,x}-a^2}\right)","Not used",1,"log(exp(x) + (exp(2*x) - a^2)^(1/2))","B"
532,0,-1,40,0.000000,"\text{Not used}","int(exp((3*x)/4)/((exp((3*x)/4) - 2)*(exp((3*x)/2) + exp((3*x)/4) - 2)^(1/2)),x)","\int \frac{{\mathrm{e}}^{\frac{3\,x}{4}}}{\left({\mathrm{e}}^{\frac{3\,x}{4}}-2\right)\,\sqrt{{\mathrm{e}}^{\frac{3\,x}{2}}+{\mathrm{e}}^{\frac{3\,x}{4}}-2}} \,d x","Not used",1,"int(exp((3*x)/4)/((exp((3*x)/4) - 2)*(exp((3*x)/2) + exp((3*x)/4) - 2)^(1/2)), x)","F"
533,0,-1,37,0.000000,"\text{Not used}","int(exp(-2*x)*(exp(7*x) - 3)^(2/3),x)","\int {\mathrm{e}}^{-2\,x}\,{\left({\mathrm{e}}^{7\,x}-3\right)}^{2/3} \,d x","Not used",1,"int(exp(-2*x)*(exp(7*x) - 3)^(2/3), x)","F"
534,1,30,73,0.106277,"\text{Not used}","int(exp(2*x)/(3 - exp(x/2))^(3/4),x)","-{\left(3-{\mathrm{e}}^{x/2}\right)}^{1/4}\,\left(\frac{768\,{\mathrm{e}}^{x/2}}{65}+\frac{8\,{\mathrm{e}}^{\frac{3\,x}{2}}}{13}+\frac{32\,{\mathrm{e}}^x}{13}+\frac{9216}{65}\right)","Not used",1,"-(3 - exp(x/2))^(1/4)*((768*exp(x/2))/65 + (8*exp((3*x)/2))/13 + (32*exp(x))/13 + 9216/65)","B"
535,1,21,44,0.027615,"\text{Not used}","int(x^3*exp(-x/2),x)","-16\,{\mathrm{e}}^{-\frac{x}{2}}\,\left(\frac{x^3}{8}+\frac{3\,x^2}{4}+3\,x+6\right)","Not used",1,"-16*exp(-x/2)*(3*x + (3*x^2)/4 + x^3/8 + 6)","B"
536,1,22,39,0.271686,"\text{Not used}","int(exp(-x/2)/x^3,x)","\frac{{\mathrm{e}}^{-\frac{x}{2}}\,\left(\frac{1}{x}-\frac{2}{x^2}\right)}{4}-\frac{\mathrm{expint}\left(\frac{x}{2}\right)}{8}","Not used",1,"(exp(-x/2)*(1/x - 2/x^2))/4 - expint(x/2)/8","B"
537,1,27,44,0.058818,"\text{Not used}","int(a^(3*x)*x^2,x)","\frac{a^{3\,x}\,\left(9\,x^2\,{\ln\left(a\right)}^2-6\,x\,\ln\left(a\right)+2\right)}{27\,{\ln\left(a\right)}^3}","Not used",1,"(a^(3*x)*(9*x^2*log(a)^2 - 6*x*log(a) + 2))/(27*log(a)^3)","B"
538,1,9,12,0.049190,"\text{Not used}","int(x*exp(x^2)*(x^2 + 1),x)","\frac{x^2\,{\mathrm{e}}^{x^2}}{2}","Not used",1,"(x^2*exp(x^2))/2","B"
539,1,26,32,0.327178,"\text{Not used}","int(x/(exp(-x) + exp(x))^2,x)","\frac{x\,{\mathrm{e}}^{2\,x}}{2\,\left({\mathrm{e}}^{2\,x}+1\right)}-\frac{\ln\left({\mathrm{e}}^{2\,x}+1\right)}{4}","Not used",1,"(x*exp(2*x))/(2*(exp(2*x) + 1)) - log(exp(2*x) + 1)/4","B"
540,1,12,15,0.448260,"\text{Not used}","int(-(exp(x)*(x + x^2 - 1))/(1 - x^2)^(1/2),x)","{\mathrm{e}}^x\,\sqrt{1-x^2}","Not used",1,"exp(x)*(1 - x^2)^(1/2)","B"
541,1,19,27,0.028113,"\text{Not used}","int(cos(2*x)*exp(-3*x),x)","-\frac{{\mathrm{e}}^{-3\,x}\,\left(3\,\cos\left(2\,x\right)-2\,\sin\left(2\,x\right)\right)}{13}","Not used",1,"-(exp(-3*x)*(3*cos(2*x) - 2*sin(2*x)))/13","B"
542,1,19,35,0.104347,"\text{Not used}","int((cos(x/2) + sin(x/2))/exp(x)^(1/3),x)","-\frac{6\,{\mathrm{e}}^{-\frac{x}{3}}\,\left(5\,\cos\left(\frac{x}{2}\right)-\sin\left(\frac{x}{2}\right)\right)}{13}","Not used",1,"-(6*exp(-x/3)*(5*cos(x/2) - sin(x/2)))/13","B"
543,1,33,57,0.037143,"\text{Not used}","int(cos((3*x)/2)/(3^(3*x))^(1/4),x)","\frac{\frac{3\,\sin\left(\frac{3\,x}{2}\right)}{2}-\frac{3\,\cos\left(\frac{3\,x}{2}\right)\,\ln\left(3\right)}{4}}{3^{\frac{3\,x}{4}}\,\left(\frac{9\,{\ln\left(3\right)}^2}{16}+\frac{9}{4}\right)}","Not used",1,"((3*sin((3*x)/2))/2 - (3*cos((3*x)/2)*log(3))/4)/(3^((3*x)/4)*((9*log(3)^2)/16 + 9/4))","B"
544,1,37,54,0.052031,"\text{Not used}","int(exp(m*x)*cos(x)^2,x)","\frac{{\mathrm{e}}^{m\,x}}{2\,m}+\frac{{\mathrm{e}}^{m\,x}\,\left(2\,\sin\left(2\,x\right)+m\,\cos\left(2\,x\right)\right)}{2\,\left(m^2+4\right)}","Not used",1,"exp(m*x)/(2*m) + (exp(m*x)*(2*sin(2*x) + m*cos(2*x)))/(2*(m^2 + 4))","B"
545,1,47,82,0.058442,"\text{Not used}","int(exp(m*x)*sin(x)^3,x)","-\frac{{\mathrm{e}}^{m\,x}\,\left(\frac{3\,\left(\cos\left(x\right)-m\,\sin\left(x\right)\right)}{m^2+1}-\frac{3\,\cos\left(3\,x\right)-m\,\sin\left(3\,x\right)}{m^2+9}\right)}{4}","Not used",1,"-(exp(m*x)*((3*(cos(x) - m*sin(x)))/(m^2 + 1) - (3*cos(3*x) - m*sin(3*x))/(m^2 + 9)))/4","B"
546,1,39,79,0.295619,"\text{Not used}","int(cos(x/3)^3/exp(x)^(1/2),x)","-\frac{{\mathrm{e}}^{-\frac{x}{2}}\,\left(\frac{8\,{\cos\left(\frac{x}{3}\right)}^3}{5}-\frac{16\,\sin\left(\frac{x}{3}\right)\,{\cos\left(\frac{x}{3}\right)}^2}{5}+\frac{192\,\cos\left(\frac{x}{3}\right)}{65}-\frac{128\,\sin\left(\frac{x}{3}\right)}{65}\right)}{4}","Not used",1,"-(exp(-x/2)*((192*cos(x/3))/65 - (128*sin(x/3))/65 - (16*cos(x/3)^2*sin(x/3))/5 + (8*cos(x/3)^3)/5))/4","B"
547,1,18,36,0.411801,"\text{Not used}","int(exp(2*x)*cos(x)^2*sin(x)^2,x)","-\frac{{\mathrm{e}}^{2\,x}\,\left(\cos\left(4\,x\right)+2\,\sin\left(4\,x\right)-5\right)}{80}","Not used",1,"-(exp(2*x)*(cos(4*x) + 2*sin(4*x) - 5))/80","B"
548,1,18,36,0.393597,"\text{Not used}","int(cos((3*x)/2)^2*sin((3*x)/2)^2*exp(3*x),x)","-\frac{{\mathrm{e}}^{3\,x}\,\left(\cos\left(6\,x\right)+2\,\sin\left(6\,x\right)-5\right)}{120}","Not used",1,"-(exp(3*x)*(cos(6*x) + 2*sin(6*x) - 5))/120","B"
549,0,-1,58,0.000000,"\text{Not used}","int(exp(m*x)*tan(x)^2,x)","\int {\mathrm{e}}^{m\,x}\,{\mathrm{tan}\left(x\right)}^2 \,d x","Not used",1,"int(exp(m*x)*tan(x)^2, x)","F"
550,0,-1,45,0.000000,"\text{Not used}","int(exp(m*x)/sin(x)^2,x)","\int \frac{{\mathrm{e}}^{m\,x}}{{\sin\left(x\right)}^2} \,d x","Not used",1,"int(exp(m*x)/sin(x)^2, x)","F"
551,0,-1,51,0.000000,"\text{Not used}","int(exp(m*x)/cos(x)^3,x)","\int \frac{{\mathrm{e}}^{m\,x}}{{\cos\left(x\right)}^3} \,d x","Not used",1,"int(exp(m*x)/cos(x)^3, x)","F"
552,0,-1,28,0.000000,"\text{Not used}","int(exp(x)/(cos(x) + 1),x)","\int \frac{{\mathrm{e}}^x}{\cos\left(x\right)+1} \,d x","Not used",1,"int(exp(x)/(cos(x) + 1), x)","F"
553,0,-1,26,0.000000,"\text{Not used}","int(-exp(x)/(cos(x) - 1),x)","-\int \frac{{\mathrm{e}}^x}{\cos\left(x\right)-1} \,d x","Not used",1,"-int(exp(x)/(cos(x) - 1), x)","F"
554,0,-1,30,0.000000,"\text{Not used}","int(exp(x)/(sin(x) + 1),x)","\int \frac{{\mathrm{e}}^x}{\sin\left(x\right)+1} \,d x","Not used",1,"int(exp(x)/(sin(x) + 1), x)","F"
555,0,-1,30,0.000000,"\text{Not used}","int(-exp(x)/(sin(x) - 1),x)","-\int \frac{{\mathrm{e}}^x}{\sin\left(x\right)-1} \,d x","Not used",1,"-int(exp(x)/(sin(x) - 1), x)","F"
556,1,8,15,0.386975,"\text{Not used}","int((exp(x)*(sin(x) - 1))/(cos(x) - 1),x)","-\mathrm{cot}\left(\frac{x}{2}\right)\,{\mathrm{e}}^x","Not used",1,"-cot(x/2)*exp(x)","B"
557,0,-1,41,0.000000,"\text{Not used}","int(-(exp(x)*(sin(x) + 1))/(cos(x) - 1),x)","\int -\frac{{\mathrm{e}}^x\,\left(\sin\left(x\right)+1\right)}{\cos\left(x\right)-1} \,d x","Not used",1,"int(-(exp(x)*(sin(x) + 1))/(cos(x) - 1), x)","F"
558,1,7,12,0.366058,"\text{Not used}","int((exp(x)*(sin(x) + 1))/(cos(x) + 1),x)","\mathrm{tan}\left(\frac{x}{2}\right)\,{\mathrm{e}}^x","Not used",1,"tan(x/2)*exp(x)","B"
559,0,-1,42,0.000000,"\text{Not used}","int(-(exp(x)*(sin(x) - 1))/(cos(x) + 1),x)","-\int \frac{{\mathrm{e}}^x\,\left(\sin\left(x\right)-1\right)}{\cos\left(x\right)+1} \,d x","Not used",1,"-int((exp(x)*(sin(x) - 1))/(cos(x) + 1), x)","F"
560,0,-1,46,0.000000,"\text{Not used}","int((exp(x)*(cos(x) - 1))/(sin(x) - 1),x)","\int \frac{{\mathrm{e}}^x\,\left(\cos\left(x\right)-1\right)}{\sin\left(x\right)-1} \,d x","Not used",1,"int((exp(x)*(cos(x) - 1))/(sin(x) - 1), x)","F"
561,1,24,14,0.374438,"\text{Not used}","int(-(exp(x)*(cos(x) + 1))/(sin(x) - 1),x)","-\frac{{\mathrm{e}}^x\,\left(-1+{\mathrm{e}}^{x\,1{}\mathrm{i}}\,1{}\mathrm{i}\right)}{{\mathrm{e}}^{x\,1{}\mathrm{i}}-\mathrm{i}}","Not used",1,"-(exp(x)*(exp(x*1i)*1i - 1))/(exp(x*1i) - 1i)","B"
562,0,-1,43,0.000000,"\text{Not used}","int((exp(x)*(cos(x) + 1))/(sin(x) + 1),x)","\int \frac{{\mathrm{e}}^x\,\left(\cos\left(x\right)+1\right)}{\sin\left(x\right)+1} \,d x","Not used",1,"int((exp(x)*(cos(x) + 1))/(sin(x) + 1), x)","F"
563,1,20,13,0.423799,"\text{Not used}","int(-(exp(x)*(cos(x) - 1))/(sin(x) + 1),x)","-{\mathrm{e}}^x\,1{}\mathrm{i}-\frac{2\,{\mathrm{e}}^x}{{\mathrm{e}}^{x\,1{}\mathrm{i}}+1{}\mathrm{i}}","Not used",1,"- exp(x)*1i - (2*exp(x))/(exp(x*1i) + 1i)","B"
564,1,17,30,0.065750,"\text{Not used}","int(x*exp(x)*cos(x),x)","\frac{{\mathrm{e}}^x\,\left(x\,\cos\left(x\right)-\sin\left(x\right)+x\,\sin\left(x\right)\right)}{2}","Not used",1,"(exp(x)*(x*cos(x) - sin(x) + x*sin(x)))/2","B"
565,1,21,50,0.327047,"\text{Not used}","int(x^2*exp(x)*sin(x),x)","\frac{{\mathrm{e}}^x\,\left(x-1\right)\,\left(\cos\left(x\right)+\sin\left(x\right)-x\,\cos\left(x\right)+x\,\sin\left(x\right)\right)}{2}","Not used",1,"(exp(x)*(x - 1)*(cos(x) + sin(x) - x*cos(x) + x*sin(x)))/2","B"
566,1,39,75,0.107303,"\text{Not used}","int(x^2*exp(-3*x)*sin(x),x)","-\frac{{\mathrm{e}}^{-3\,x}\,\left(13\,\cos\left(x\right)+9\,\sin\left(x\right)+25\,x^2\,\cos\left(x\right)+75\,x^2\,\sin\left(x\right)+30\,x\,\cos\left(x\right)+40\,x\,\sin\left(x\right)\right)}{250}","Not used",1,"-(exp(-3*x)*(13*cos(x) + 9*sin(x) + 25*x^2*cos(x) + 75*x^2*sin(x) + 30*x*cos(x) + 40*x*sin(x)))/250","B"
567,1,83,187,0.313032,"\text{Not used}","int(x^2*exp(x/2)*cos(x)^3,x)","-\frac{{\mathrm{e}}^{x/2}\,\left(107000\,\cos\left(3\,x\right)+198000\,\sin\left(3\,x\right)+13372392\,\cos\left(x\right)+2431344\,\sin\left(x\right)-647500\,x\,\cos\left(3\,x\right)-3798975\,x^2\,\cos\left(x\right)+222000\,x\,\sin\left(3\,x\right)-7597950\,x^2\,\sin\left(x\right)-171125\,x^2\,\cos\left(3\,x\right)-1026750\,x^2\,\sin\left(3\,x\right)-9117540\,x\,\cos\left(x\right)+12156720\,x\,\sin\left(x\right)\right)}{12663250}","Not used",1,"-(exp(x/2)*(107000*cos(3*x) + 198000*sin(3*x) + 13372392*cos(x) + 2431344*sin(x) - 647500*x*cos(3*x) - 3798975*x^2*cos(x) + 222000*x*sin(3*x) - 7597950*x^2*sin(x) - 171125*x^2*cos(3*x) - 1026750*x^2*sin(3*x) - 9117540*x*cos(x) + 12156720*x*sin(x)))/12663250","B"
568,1,51,87,0.352806,"\text{Not used}","int(x^2*sin(4*x)*exp(2*x),x)","\frac{{\mathrm{e}}^{2\,x}\,\left(2\,\cos\left(4\,x\right)-11\,\sin\left(4\,x\right)+40\,x\,\cos\left(4\,x\right)+30\,x\,\sin\left(4\,x\right)-100\,x^2\,\cos\left(4\,x\right)+50\,x^2\,\sin\left(4\,x\right)\right)}{500}","Not used",1,"(exp(2*x)*(2*cos(4*x) - 11*sin(4*x) + 40*x*cos(4*x) + 30*x*sin(4*x) - 100*x^2*cos(4*x) + 50*x^2*sin(4*x)))/500","B"
569,1,83,185,0.527037,"\text{Not used}","int(x^2*exp(x/2)*cos(x)*sin(x)^2,x)","\frac{{\mathrm{e}}^{x/2}\,\left(107000\,\cos\left(3\,x\right)+198000\,\sin\left(3\,x\right)-4457464\,\cos\left(x\right)-810448\,\sin\left(x\right)-647500\,x\,\cos\left(3\,x\right)+1266325\,x^2\,\cos\left(x\right)+222000\,x\,\sin\left(3\,x\right)+2532650\,x^2\,\sin\left(x\right)-171125\,x^2\,\cos\left(3\,x\right)-1026750\,x^2\,\sin\left(3\,x\right)+3039180\,x\,\cos\left(x\right)-4052240\,x\,\sin\left(x\right)\right)}{12663250}","Not used",1,"(exp(x/2)*(107000*cos(3*x) + 198000*sin(3*x) - 4457464*cos(x) - 810448*sin(x) - 647500*x*cos(3*x) + 1266325*x^2*cos(x) + 222000*x*sin(3*x) + 2532650*x^2*sin(x) - 171125*x^2*cos(3*x) - 1026750*x^2*sin(3*x) + 3039180*x*cos(x) - 4052240*x*sin(x)))/12663250","B"
570,1,2,2,0.016016,"\text{Not used}","int(cosh(x),x)","\mathrm{sinh}\left(x\right)","Not used",1,"sinh(x)","B"
571,1,2,2,0.018035,"\text{Not used}","int(sinh(x),x)","\mathrm{cosh}\left(x\right)","Not used",1,"cosh(x)","B"
572,1,3,3,0.019884,"\text{Not used}","int(tanh(x),x)","\ln\left(\mathrm{cosh}\left(x\right)\right)","Not used",1,"log(cosh(x))","B"
573,1,3,3,0.026531,"\text{Not used}","int(coth(x),x)","\ln\left(\mathrm{sinh}\left(x\right)\right)","Not used",1,"log(sinh(x))","B"
574,1,5,3,0.021971,"\text{Not used}","int(1/cosh(x),x)","2\,\mathrm{atan}\left({\mathrm{e}}^x\right)","Not used",1,"2*atan(exp(x))","B"
575,1,5,5,0.011335,"\text{Not used}","int(1/sinh(x),x)","\ln\left(\mathrm{tanh}\left(\frac{x}{2}\right)\right)","Not used",1,"log(tanh(x/2))","B"
576,1,10,14,0.026221,"\text{Not used}","int(cosh(x)^2,x)","\frac{x}{2}+\frac{\mathrm{sinh}\left(2\,x\right)}{4}","Not used",1,"x/2 + sinh(2*x)/4","B"
577,1,15,19,0.026246,"\text{Not used}","int(sinh(x)^5,x)","\frac{{\mathrm{cosh}\left(x\right)}^5}{5}-\frac{2\,{\mathrm{cosh}\left(x\right)}^3}{3}+\mathrm{cosh}\left(x\right)","Not used",1,"cosh(x) - (2*cosh(x)^3)/3 + cosh(x)^5/5","B"
578,1,12,14,0.066387,"\text{Not used}","int(tanh(x)^4,x)","-\frac{{\mathrm{tanh}\left(x\right)}^3}{3}-\mathrm{tanh}\left(x\right)+x","Not used",1,"x - tanh(x) - tanh(x)^3/3","B"
579,1,16,16,0.289612,"\text{Not used}","int(1/sinh(x)^3,x)","-\frac{\ln\left(\mathrm{tanh}\left(\frac{x}{2}\right)\right)}{2}-\frac{\mathrm{cosh}\left(x\right)}{2\,{\mathrm{sinh}\left(x\right)}^2}","Not used",1,"- log(tanh(x/2))/2 - cosh(x)/(2*sinh(x)^2)","B"
580,1,22,26,0.078076,"\text{Not used}","int(1/cosh(x)^5,x)","\frac{3\,\mathrm{atan}\left({\mathrm{e}}^x\right)}{4}+\frac{3\,\mathrm{sinh}\left(x\right)}{8\,{\mathrm{cosh}\left(x\right)}^2}+\frac{\mathrm{sinh}\left(x\right)}{4\,{\mathrm{cosh}\left(x\right)}^4}","Not used",1,"(3*atan(exp(x)))/4 + (3*sinh(x))/(8*cosh(x)^2) + sinh(x)/(4*cosh(x)^4)","B"
581,1,35,18,0.356758,"\text{Not used}","int(cosh(x)^4*tanh(x)^5,x)","\ln\left({\mathrm{e}}^{2\,x}+1\right)-x-\frac{3\,{\mathrm{e}}^{-2\,x}}{16}-\frac{3\,{\mathrm{e}}^{2\,x}}{16}+\frac{{\mathrm{e}}^{-4\,x}}{64}+\frac{{\mathrm{e}}^{4\,x}}{64}","Not used",1,"log(exp(2*x) + 1) - x - (3*exp(-2*x))/16 - (3*exp(2*x))/16 + exp(-4*x)/64 + exp(4*x)/64","B"
582,1,120,31,0.165031,"\text{Not used}","int(tanh(x)^5*(1/cosh(x))^(3/4),x)","\frac{32\,{\left(\frac{1}{\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}}\right)}^{3/4}}{11\,\left({\mathrm{e}}^{2\,x}+1\right)}-\frac{1312\,{\left(\frac{1}{\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}}\right)}^{3/4}}{209\,{\left({\mathrm{e}}^{2\,x}+1\right)}^2}+\frac{128\,{\left(\frac{1}{\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}}\right)}^{3/4}}{19\,{\left({\mathrm{e}}^{2\,x}+1\right)}^3}-\frac{64\,{\left(\frac{1}{\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}}\right)}^{3/4}}{19\,{\left({\mathrm{e}}^{2\,x}+1\right)}^4}-\frac{4\,{\left(\frac{1}{\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}}\right)}^{3/4}}{3}","Not used",1,"(32*(1/(exp(-x)/2 + exp(x)/2))^(3/4))/(11*(exp(2*x) + 1)) - (1312*(1/(exp(-x)/2 + exp(x)/2))^(3/4))/(209*(exp(2*x) + 1)^2) + (128*(1/(exp(-x)/2 + exp(x)/2))^(3/4))/(19*(exp(2*x) + 1)^3) - (64*(1/(exp(-x)/2 + exp(x)/2))^(3/4))/(19*(exp(2*x) + 1)^4) - (4*(1/(exp(-x)/2 + exp(x)/2))^(3/4))/3","B"
583,1,43,41,0.163135,"\text{Not used}","int(1/(a + b*cosh(x)),x)","\frac{2\,\mathrm{atan}\left(\frac{a}{\sqrt{b^2-a^2}}+\frac{b\,{\mathrm{e}}^x}{\sqrt{b^2-a^2}}\right)}{\sqrt{b^2-a^2}}","Not used",1,"(2*atan(a/(b^2 - a^2)^(1/2) + (b*exp(x))/(b^2 - a^2)^(1/2)))/(b^2 - a^2)^(1/2)","B"
584,1,14,25,0.287930,"\text{Not used}","int(1/(cosh(x) + 1)^2,x)","-\frac{2\,\left(3\,{\mathrm{e}}^x+1\right)}{3\,{\left({\mathrm{e}}^x+1\right)}^3}","Not used",1,"-(2*(3*exp(x) + 1))/(3*(exp(x) + 1)^3)","B"
585,1,35,39,0.132208,"\text{Not used}","int(1/(a + b*tanh(x)),x)","\frac{a\,x-b\,\left(x-\ln\left(\mathrm{tanh}\left(x\right)+1\right)+\ln\left(a+b\,\mathrm{tanh}\left(x\right)\right)\right)}{a^2-b^2}","Not used",1,"(a*x - b*(x - log(tanh(x) + 1) + log(a + b*tanh(x))))/(a^2 - b^2)","B"
586,1,109,31,0.652233,"\text{Not used}","int(1/(b^2*cosh(x)^2 + a^2),x)","\frac{\mathrm{atan}\left(\frac{2\,a^2\,{\left(-a^4-a^2\,b^2\right)}^{3/2}+b^2\,{\left(-a^4-a^2\,b^2\right)}^{3/2}+b^2\,{\mathrm{e}}^{2\,x}\,{\left(-a^4-a^2\,b^2\right)}^{3/2}}{2\,a^8+4\,a^6\,b^2+2\,a^4\,b^4}\right)}{\sqrt{-a^4-a^2\,b^2}}","Not used",1,"atan((2*a^2*(- a^4 - a^2*b^2)^(3/2) + b^2*(- a^4 - a^2*b^2)^(3/2) + b^2*exp(2*x)*(- a^4 - a^2*b^2)^(3/2))/(2*a^8 + 2*a^4*b^4 + 4*a^6*b^2))/(- a^4 - a^2*b^2)^(1/2)","B"
587,1,106,35,0.381061,"\text{Not used}","int(-1/(b^2*cosh(x)^2 - a^2),x)","-\frac{\mathrm{atan}\left(\frac{b^2\,{\left(a^2\,b^2-a^4\right)}^{3/2}-2\,a^2\,{\left(a^2\,b^2-a^4\right)}^{3/2}+b^2\,{\mathrm{e}}^{2\,x}\,{\left(a^2\,b^2-a^4\right)}^{3/2}}{2\,a^8-4\,a^6\,b^2+2\,a^4\,b^4}\right)}{\sqrt{a^2\,b^2-a^4}}","Not used",1,"-atan((b^2*(a^2*b^2 - a^4)^(3/2) - 2*a^2*(a^2*b^2 - a^4)^(3/2) + b^2*exp(2*x)*(a^2*b^2 - a^4)^(3/2))/(2*a^8 + 2*a^4*b^4 - 4*a^6*b^2))/(a^2*b^2 - a^4)^(1/2)","B"
588,1,63,25,0.400019,"\text{Not used}","int(-1/(sinh(x)^4 - 1),x)","\frac{\sqrt{2}\,\ln\left(2\,{\mathrm{e}}^{2\,x}+\frac{\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}-4\right)}{8}\right)}{8}-\frac{\sqrt{2}\,\ln\left(2\,{\mathrm{e}}^{2\,x}-\frac{\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}-4\right)}{8}\right)}{8}-\frac{1}{{\mathrm{e}}^{2\,x}+1}","Not used",1,"(2^(1/2)*log(2*exp(2*x) + (2^(1/2)*(12*exp(2*x) - 4))/8))/8 - (2^(1/2)*log(2*exp(2*x) - (2^(1/2)*(12*exp(2*x) - 4))/8))/8 - 1/(exp(2*x) + 1)","B"
589,1,22,33,0.369879,"\text{Not used}","int((cosh(x)^3 - sinh(x)^3)/(cosh(x)^3 + sinh(x)^3),x)","\frac{4\,\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,{\mathrm{e}}^{2\,x}}{3}\right)}{9}-\frac{{\mathrm{e}}^{-2\,x}}{6}","Not used",1,"(4*3^(1/2)*atan((3^(1/2)*exp(2*x))/3))/9 - exp(-2*x)/6","B"
590,1,40,30,0.403295,"\text{Not used}","int(cosh(2*x)*cosh(3*x)*cosh(x),x)","\frac{x}{4}-\frac{{\mathrm{e}}^{-2\,x}}{16}+\frac{{\mathrm{e}}^{2\,x}}{16}-\frac{{\mathrm{e}}^{-4\,x}}{32}+\frac{{\mathrm{e}}^{4\,x}}{32}-\frac{{\mathrm{e}}^{-6\,x}}{48}+\frac{{\mathrm{e}}^{6\,x}}{48}","Not used",1,"x/4 - exp(-2*x)/16 + exp(2*x)/16 - exp(-4*x)/32 + exp(4*x)/32 - exp(-6*x)/48 + exp(6*x)/48","B"
591,1,40,30,0.415793,"\text{Not used}","int(cosh((3*x)/2)*sinh((5*x)/2)*sinh(x),x)","\frac{{\mathrm{e}}^{2\,x}}{16}-\frac{{\mathrm{e}}^{-2\,x}}{16}-\frac{x}{4}+\frac{{\mathrm{e}}^{-3\,x}}{24}-\frac{{\mathrm{e}}^{3\,x}}{24}-\frac{{\mathrm{e}}^{-5\,x}}{40}+\frac{{\mathrm{e}}^{5\,x}}{40}","Not used",1,"exp(2*x)/16 - exp(-2*x)/16 - x/4 + exp(-3*x)/24 - exp(3*x)/24 - exp(-5*x)/40 + exp(5*x)/40","B"
592,0,-1,69,0.000000,"\text{Not used}","int(-(cosh(x)*(cosh(2*x) - tanh(x)))/(sinh(2*x)^(1/2)*(sinh(2*x) + sinh(x)^2)),x)","-\int \frac{\mathrm{cosh}\left(x\right)\,\left(\mathrm{cosh}\left(2\,x\right)-\mathrm{tanh}\left(x\right)\right)}{\sqrt{\mathrm{sinh}\left(2\,x\right)}\,\left({\mathrm{sinh}\left(x\right)}^2+\mathrm{sinh}\left(2\,x\right)\right)} \,d x","Not used",1,"-int((cosh(x)*(cosh(2*x) - tanh(x)))/(sinh(2*x)^(1/2)*(sinh(2*x) + sinh(x)^2)), x)","F"
593,1,57,37,0.139324,"\text{Not used}","int(sinh(x)/(4*cosh(x)^2 - 9)^(5/2),x)","-\frac{{\mathrm{e}}^x\,\sqrt{4\,{\left(\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}\right)}^2-9}\,\left(21\,{\mathrm{e}}^{2\,x}+21\,{\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{6\,x}-2\right)}{486\,{\left({\mathrm{e}}^{4\,x}-7\,{\mathrm{e}}^{2\,x}+1\right)}^2}","Not used",1,"-(exp(x)*(4*(exp(-x)/2 + exp(x)/2)^2 - 9)^(1/2)*(21*exp(2*x) + 21*exp(4*x) - 2*exp(6*x) - 2))/(486*(exp(4*x) - 7*exp(2*x) + 1)^2)","B"
594,1,47,29,0.485529,"\text{Not used}","int((sinh(2*x)*sinh(x)^2)/(1 - sinh(x)^2)^(3/2),x)","\frac{2\,\sqrt{1-{\left(\frac{{\mathrm{e}}^{-x}}{2}-\frac{{\mathrm{e}}^x}{2}\right)}^2}\,\left({\mathrm{e}}^{4\,x}-10\,{\mathrm{e}}^{2\,x}+1\right)}{{\mathrm{e}}^{4\,x}-6\,{\mathrm{e}}^{2\,x}+1}","Not used",1,"(2*(1 - (exp(-x)/2 - exp(x)/2)^2)^(1/2)*(exp(4*x) - 10*exp(2*x) + 1))/(exp(4*x) - 6*exp(2*x) + 1)","B"
595,0,-1,15,0.000000,"\text{Not used}","int(cosh(x)/cosh(2*x)^(1/2),x)","\int \frac{\mathrm{cosh}\left(x\right)}{\sqrt{\mathrm{cosh}\left(2\,x\right)}} \,d x","Not used",1,"int(cosh(x)/cosh(2*x)^(1/2), x)","F"
596,1,21,16,0.312001,"\text{Not used}","int(x*tanh(x)^2,x)","\ln\left({\mathrm{e}}^{2\,x}+1\right)-x-x\,\mathrm{tanh}\left(x\right)+\frac{x^2}{2}","Not used",1,"log(exp(2*x) + 1) - x - x*tanh(x) + x^2/2","B"
597,1,27,16,0.293179,"\text{Not used}","int(x*coth(x)^2,x)","\ln\left({\mathrm{e}}^{2\,x}-1\right)-2\,x-\frac{2\,x}{{\mathrm{e}}^{2\,x}-1}+\frac{x^2}{2}","Not used",1,"log(exp(2*x) - 1) - 2*x - (2*x)/(exp(2*x) - 1) + x^2/2","B"
598,1,16,20,0.061251,"\text{Not used}","int((x + cosh(x) + sinh(x))/(cosh(x) - sinh(x)),x)","{\mathrm{e}}^x\,\left(x+\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}-1\right)","Not used",1,"exp(x)*(x + exp(-x)/2 + exp(x)/2 - 1)","B"
599,1,17,15,0.285950,"\text{Not used}","int((x + cosh(x) + sinh(x))/(cosh(x) + 1),x)","2\,x-\frac{2\,x-2}{{\mathrm{e}}^x+1}","Not used",1,"2*x - (2*x - 2)/(exp(x) + 1)","B"
600,1,24,20,0.330756,"\text{Not used}","int(exp(2*x)/sinh(x)^4,x)","-\frac{8\,\left(3\,{\mathrm{e}}^{4\,x}-3\,{\mathrm{e}}^{2\,x}+1\right)}{3\,{\left({\mathrm{e}}^{2\,x}-1\right)}^3}","Not used",1,"-(8*(3*exp(4*x) - 3*exp(2*x) + 1))/(3*(exp(2*x) - 1)^3)","B"
601,1,19,13,0.310620,"\text{Not used}","int(exp(-2*x)/cosh(x)^4,x)","-\frac{{\mathrm{e}}^{-3\,x}}{3\,{\left(\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}\right)}^3}","Not used",1,"-exp(-3*x)/(3*(exp(-x)/2 + exp(x)/2)^3)","B"
602,1,6,9,0.317395,"\text{Not used}","int(exp(x)/(cosh(x) - sinh(x)),x)","\frac{{\mathrm{e}}^{2\,x}}{2}","Not used",1,"exp(2*x)/2","B"
603,1,14,13,0.108531,"\text{Not used}","int(exp(m*x)/(cosh(x) + sinh(x)),x)","\frac{{\mathrm{e}}^{m\,x-x}}{m-1}","Not used",1,"exp(m*x - x)/(m - 1)","B"
604,1,1,1,0.288446,"\text{Not used}","int(exp(x)/(cosh(x) + sinh(x)),x)","x","Not used",1,"x","B"
605,1,16,22,0.058721,"\text{Not used}","int(-exp(x)/(cosh(x) - 1),x)","\frac{2}{{\mathrm{e}}^x-1}-2\,\ln\left({\mathrm{e}}^x-1\right)","Not used",1,"2/(exp(x) - 1) - 2*log(exp(x) - 1)","B"
606,1,11,13,0.303379,"\text{Not used}","int((exp(x)*(sinh(x) + 1))/(cosh(x) + 1),x)","{\mathrm{e}}^x+\frac{2}{{\mathrm{e}}^x+1}","Not used",1,"exp(x) + 2/(exp(x) + 1)","B"
607,1,11,15,0.044358,"\text{Not used}","int((exp(x)*(sinh(x) - 1))/(cosh(x) - 1),x)","{\mathrm{e}}^x+\frac{2}{{\mathrm{e}}^x-1}","Not used",1,"exp(x) + 2/(exp(x) - 1)","B"
608,1,32,26,0.401468,"\text{Not used}","int(x^m*log(x),x)","\left\{\begin{array}{cl} \frac{{\ln\left(x\right)}^2}{2} & \text{\ if\ \ }m=-1\\ \frac{x^{m+1}\,\left(\ln\left(x\right)\,\left(m+1\right)-1\right)}{{\left(m+1\right)}^2} & \text{\ if\ \ }m\neq -1 \end{array}\right.","Not used",1,"piecewise(m == -1, log(x)^2/2, m ~= -1, (x^(m + 1)*(log(x)*(m + 1) - 1))/(m + 1)^2)","B"
609,1,43,42,0.354087,"\text{Not used}","int(x^m*log(x)^2,x)","\left\{\begin{array}{cl} \frac{{\ln\left(x\right)}^3}{3} & \text{\ if\ \ }m=-1\\ \frac{x^{m+1}\,\left({\ln\left(x\right)}^2\,{\left(m+1\right)}^2-2\,\ln\left(x\right)\,\left(m+1\right)+2\right)}{{\left(m+1\right)}^3} & \text{\ if\ \ }m\neq -1 \end{array}\right.","Not used",1,"piecewise(m == -1, log(x)^3/3, m ~= -1, (x^(m + 1)*(- 2*log(x)*(m + 1) + log(x)^2*(m + 1)^2 + 2))/(m + 1)^3)","B"
610,1,17,34,0.036540,"\text{Not used}","int(log(x)^2/x^(5/2),x)","-\frac{18\,{\ln\left(x\right)}^2+24\,\ln\left(x\right)+16}{27\,x^{3/2}}","Not used",1,"-(24*log(x) + 18*log(x)^2 + 16)/(27*x^(3/2))","B"
611,1,21,28,0.331522,"\text{Not used}","int(log(x)*(a + b*x),x)","-\frac{x\,\left(4\,a+b\,x-4\,a\,\ln\left(x\right)-2\,b\,x\,\ln\left(x\right)\right)}{4}","Not used",1,"-(x*(4*a + b*x - 4*a*log(x) - 2*b*x*log(x)))/4","B"
612,1,71,67,0.380886,"\text{Not used}","int(log(x)*(a + b*x)^3,x)","a^3\,x\,\ln\left(x\right)-\frac{b^3\,x^4}{16}-\frac{3\,a^2\,b\,x^2}{4}-\frac{a\,b^2\,x^3}{3}-a^3\,x+\frac{b^3\,x^4\,\ln\left(x\right)}{4}+\frac{3\,a^2\,b\,x^2\,\ln\left(x\right)}{2}+a\,b^2\,x^3\,\ln\left(x\right)","Not used",1,"a^3*x*log(x) - (b^3*x^4)/16 - (3*a^2*b*x^2)/4 - (a*b^2*x^3)/3 - a^3*x + (b^3*x^4*log(x))/4 + (3*a^2*b*x^2*log(x))/2 + a*b^2*x^3*log(x)","B"
613,1,20,23,0.294158,"\text{Not used}","int(3*log(x)^3 - 8*log(x)^2 - 1,x)","x\,\left(3\,{\ln\left(x\right)}^3-17\,{\ln\left(x\right)}^2+34\,\ln\left(x\right)-35\right)","Not used",1,"x*(34*log(x) - 17*log(x)^2 + 3*log(x)^3 - 35)","B"
614,1,51,60,0.373690,"\text{Not used}","int((x^4 + 1)*(log(x)^3 - 2*log(x) + 1),x)","\frac{x\,\left(125\,x^4\,{\ln\left(x\right)}^3-75\,x^4\,{\ln\left(x\right)}^2-220\,x^4\,\ln\left(x\right)+169\,x^4+625\,{\ln\left(x\right)}^3-1875\,{\ln\left(x\right)}^2+2500\,\ln\left(x\right)-1875\right)}{625}","Not used",1,"(x*(2500*log(x) - 220*x^4*log(x) - 1875*log(x)^2 + 625*log(x)^3 - 75*x^4*log(x)^2 + 125*x^4*log(x)^3 + 169*x^4 - 1875))/625","B"
615,1,29,43,0.279245,"\text{Not used}","int(1/(x^3*log(x)^4),x)","-\frac{4\,\mathrm{ei}\left(-2\,\ln\left(x\right)\right)}{3}-\frac{\frac{2\,{\ln\left(x\right)}^2}{3}-\frac{\ln\left(x\right)}{3}+\frac{1}{3}}{x^2\,{\ln\left(x\right)}^3}","Not used",1,"- (4*ei(-2*log(x)))/3 - ((2*log(x)^2)/3 - log(x)/3 + 1/3)/(x^2*log(x)^3)","B"
616,0,-1,29,0.000000,"\text{Not used}","int(log(x)/(a + b*x),x)","\int \frac{\ln\left(x\right)}{a+b\,x} \,d x","Not used",1,"int(log(x)/(a + b*x), x)","F"
617,1,35,29,0.391567,"\text{Not used}","int(log(x)/(a + b*x)^2,x)","\frac{x^2\,\ln\left(x\right)}{a\,\left(b\,x^2+a\,x\right)}-\frac{\ln\left(a+b\,x\right)}{a\,b}","Not used",1,"(x^2*log(x))/(a*(a*x + b*x^2)) - log(a + b*x)/(a*b)","B"
618,1,22,12,0.332676,"\text{Not used}","int(log(x)^n/x,x)","\left\{\begin{array}{cl} \ln\left(\ln\left(x\right)\right) & \text{\ if\ \ }n=-1\\ \frac{{\ln\left(x\right)}^{n+1}}{n+1} & \text{\ if\ \ }n\neq -1 \end{array}\right.","Not used",1,"piecewise(n == -1, log(log(x)), n ~= -1, log(x)^(n + 1)/(n + 1))","B"
619,1,19,19,0.450240,"\text{Not used}","int((a + b*log(x))^n/x,x)","\frac{{\left(a+b\,\ln\left(x\right)\right)}^{n+1}}{b\,\left(n+1\right)}","Not used",1,"(a + b*log(x))^(n + 1)/(b*(n + 1))","B"
620,1,11,11,0.294075,"\text{Not used}","int(1/(x*(a + b*log(x))),x)","\frac{\ln\left(a+b\,\ln\left(x\right)\right)}{b}","Not used",1,"log(a + b*log(x))/b","B"
621,1,22,23,0.427315,"\text{Not used}","int(1/(x*(a + b*log(x))^n),x)","-\frac{{\left(a+b\,\ln\left(x\right)\right)}^{1-n}}{b\,\left(n-1\right)}","Not used",1,"-(a + b*log(x))^(1 - n)/(b*(n - 1))","B"
622,1,14,16,0.430326,"\text{Not used}","int(1/(x*(log(x)^2 + a^2)^(1/2)),x)","\ln\left(\ln\left(x\right)+\sqrt{a^2+{\ln\left(x\right)}^2}\right)","Not used",1,"log(log(x) + (log(x)^2 + a^2)^(1/2))","B"
623,1,16,18,0.391916,"\text{Not used}","int(1/(x*(log(x)^2 - a^2)^(1/2)),x)","\ln\left(\ln\left(x\right)+\sqrt{{\ln\left(x\right)}^2-a^2}\right)","Not used",1,"log(log(x) + (log(x)^2 - a^2)^(1/2))","B"
624,1,16,18,0.612014,"\text{Not used}","int(1/(x*(a^2 - log(x)^2)^(1/2)),x)","\mathrm{atan}\left(\frac{\ln\left(x\right)}{\sqrt{a^2-{\ln\left(x\right)}^2}}\right)","Not used",1,"atan(log(x)/(a^2 - log(x)^2)^(1/2))","B"
625,1,27,22,0.580893,"\text{Not used}","int(1/(x*log(x)*(log(x)^2 + a^2)^(1/2)),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{a^2+{\ln\left(x\right)}^2}}{\sqrt{-a^2}}\right)}{\sqrt{-a^2}}","Not used",1,"atan((log(x)^2 + a^2)^(1/2)/(-a^2)^(1/2))/(-a^2)^(1/2)","B"
626,1,22,24,0.608333,"\text{Not used}","int(1/(x*log(x)*(a^2 - log(x)^2)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\frac{\sqrt{a^2-{\ln\left(x\right)}^2}}{a}\right)}{a}","Not used",1,"-atanh((a^2 - log(x)^2)^(1/2)/a)/a","B"
627,1,25,23,0.523675,"\text{Not used}","int(1/(x*log(x)*(log(x)^2 - a^2)^(1/2)),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{{\ln\left(x\right)}^2-a^2}}{\sqrt{a^2}}\right)}{\sqrt{a^2}}","Not used",1,"atan((log(x)^2 - a^2)^(1/2)/(a^2)^(1/2))/(a^2)^(1/2)","B"
628,1,8,11,0.322082,"\text{Not used}","int(log(log(x))/x,x)","\ln\left(x\right)\,\left(\ln\left(\ln\left(x\right)\right)-1\right)","Not used",1,"log(x)*(log(log(x)) - 1)","B"
629,1,15,20,0.376698,"\text{Not used}","int(log(log(x))^2/x,x)","\ln\left(x\right)\,\left({\ln\left(\ln\left(x\right)\right)}^2-2\,\ln\left(\ln\left(x\right)\right)+2\right)","Not used",1,"log(x)*(log(log(x))^2 - 2*log(log(x)) + 2)","B"
630,1,29,29,0.361355,"\text{Not used}","int(log(log(x))^3/x,x)","\ln\left(x\right)\,{\ln\left(\ln\left(x\right)\right)}^3-3\,\ln\left(x\right)\,{\ln\left(\ln\left(x\right)\right)}^2+6\,\ln\left(x\right)\,\ln\left(\ln\left(x\right)\right)-6\,\ln\left(x\right)","Not used",1,"6*log(log(x))*log(x) - 6*log(x) - 3*log(log(x))^2*log(x) + log(log(x))^3*log(x)","B"
631,1,38,38,0.370593,"\text{Not used}","int(log(log(x))^4/x,x)","\ln\left(x\right)\,{\ln\left(\ln\left(x\right)\right)}^4-4\,\ln\left(x\right)\,{\ln\left(\ln\left(x\right)\right)}^3+12\,\ln\left(x\right)\,{\ln\left(\ln\left(x\right)\right)}^2-24\,\ln\left(x\right)\,\ln\left(\ln\left(x\right)\right)+24\,\ln\left(x\right)","Not used",1,"24*log(x) - 24*log(log(x))*log(x) + 12*log(log(x))^2*log(x) - 4*log(log(x))^3*log(x) + log(log(x))^4*log(x)","B"
632,1,24,24,0.451336,"\text{Not used}","int(log(log(x))^n/x,x)","\frac{{\ln\left(\ln\left(x\right)\right)}^n\,\Gamma \left(n+1,-\ln\left(\ln\left(x\right)\right)\right)}{{\left(-\ln\left(\ln\left(x\right)\right)\right)}^n}","Not used",1,"(log(log(x))^n*igamma(n + 1, -log(log(x))))/(-log(log(x)))^n","B"
633,1,4,4,0.396193,"\text{Not used}","int(cot(x)/log(sin(x)),x)","\ln\left(\ln\left(\sin\left(x\right)\right)\right)","Not used",1,"log(log(sin(x)))","B"
634,1,9,7,0.386862,"\text{Not used}","int(tan(x)*(cos(x) + 1/cos(x)),x)","\frac{1}{\cos\left(x\right)}-\cos\left(x\right)","Not used",1,"1/cos(x) - cos(x)","B"
635,1,8,11,0.364555,"\text{Not used}","int(log(cosh(x))*sinh(x),x)","\mathrm{cosh}\left(x\right)\,\left(\ln\left(\mathrm{cosh}\left(x\right)\right)-1\right)","Not used",1,"cosh(x)*(log(cosh(x)) - 1)","B"
636,1,16,9,0.439259,"\text{Not used}","int(log(cosh(x))*tanh(x),x)","\frac{{\ln\left(\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}\right)}^2}{2}","Not used",1,"log(exp(-x)/2 + exp(x)/2)^2/2","B"
637,1,22,26,0.078097,"\text{Not used}","int(log(x - (x^2 + 1)^(1/2)),x)","x\,\ln\left(x-\sqrt{x^2+1}\right)+\sqrt{x^2+1}","Not used",1,"x*log(x - (x^2 + 1)^(1/2)) + (x^2 + 1)^(1/2)","B"
638,1,25,35,0.064621,"\text{Not used}","int(log(x - 1)/x^3,x)","\frac{x-\ln\left(x-1\right)+x^2\,\ln\left(1-\frac{1}{x}\right)}{2\,x^2}","Not used",1,"(x - log(x - 1) + x^2*log(1 - 1/x))/(2*x^2)","B"
639,1,24,32,0.380073,"\text{Not used}","int(-log(exp(2*x) + 1)*(exp(-x) - exp(x)),x)","2\,\ln\left({\mathrm{e}}^{2\,x}+1\right)\,\mathrm{cosh}\left(x\right)-\frac{{\mathrm{e}}^{2\,x}+1}{\mathrm{cosh}\left(x\right)}","Not used",1,"2*log(exp(2*x) + 1)*cosh(x) - (exp(2*x) + 1)/cosh(x)","B"
640,1,31,52,0.548249,"\text{Not used}","int(exp((3*x)/2)*log(exp(x) - 1),x)","\frac{4\,\mathrm{atanh}\left(\sqrt{{\mathrm{e}}^x}\right)}{3}-\frac{4\,{\mathrm{e}}^{\frac{3\,x}{2}}}{9}-\frac{4\,{\mathrm{e}}^{x/2}}{3}+\frac{2\,{\mathrm{e}}^{\frac{3\,x}{2}}\,\ln\left({\mathrm{e}}^x-1\right)}{3}","Not used",1,"(4*atanh(exp(x)^(1/2)))/3 - (4*exp((3*x)/2))/9 - (4*exp(x/2))/3 + (2*exp((3*x)/2)*log(exp(x) - 1))/3","B"
641,0,-1,30,0.000000,"\text{Not used}","int(log(sin(x))*cos(x)^3,x)","\int \ln\left(\sin\left(x\right)\right)\,{\cos\left(x\right)}^3 \,d x","Not used",1,"int(log(sin(x))*cos(x)^3, x)","F"
642,1,148,30,1.802518,"\text{Not used}","int(log(tan(x))/cos(x)^4,x)","\frac{\ln\left(-\frac{8\,{\mathrm{e}}^{x\,2{}\mathrm{i}}}{3}-\frac{8}{3}\right)\,2{}\mathrm{i}}{3}-\frac{\ln\left(\frac{8}{3}-\frac{8\,{\mathrm{e}}^{x\,2{}\mathrm{i}}}{3}\right)\,2{}\mathrm{i}}{3}+\frac{8{}\mathrm{i}}{9\,\left(3\,{\mathrm{e}}^{x\,2{}\mathrm{i}}+3\,{\mathrm{e}}^{x\,4{}\mathrm{i}}+{\mathrm{e}}^{x\,6{}\mathrm{i}}+1\right)}-\frac{4{}\mathrm{i}}{3\,\left(2\,{\mathrm{e}}^{x\,2{}\mathrm{i}}+{\mathrm{e}}^{x\,4{}\mathrm{i}}+1\right)}-\frac{4{}\mathrm{i}}{3\,\left({\mathrm{e}}^{x\,2{}\mathrm{i}}+1\right)}+\frac{\ln\left(-\frac{{\mathrm{e}}^{x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}}{{\mathrm{e}}^{x\,2{}\mathrm{i}}+1}\right)\,\left({\mathrm{e}}^{x\,2{}\mathrm{i}}\,4{}\mathrm{i}+\frac{4}{3}{}\mathrm{i}\right)}{3\,{\mathrm{e}}^{x\,2{}\mathrm{i}}+3\,{\mathrm{e}}^{x\,4{}\mathrm{i}}+{\mathrm{e}}^{x\,6{}\mathrm{i}}+1}","Not used",1,"(log(- (8*exp(x*2i))/3 - 8/3)*2i)/3 - (log(8/3 - (8*exp(x*2i))/3)*2i)/3 + 8i/(9*(3*exp(x*2i) + 3*exp(x*4i) + exp(x*6i) + 1)) - 4i/(3*(2*exp(x*2i) + exp(x*4i) + 1)) - 4i/(3*(exp(x*2i) + 1)) + (log(-(exp(x*2i)*1i - 1i)/(exp(x*2i) + 1))*(exp(x*2i)*4i + 4i/3))/(3*exp(x*2i) + 3*exp(x*4i) + exp(x*6i) + 1)","B"
643,1,39,28,0.576154,"\text{Not used}","int(log(cos(x/2))/(cos(x) + 1),x)","\mathrm{tan}\left(\frac{x}{2}\right)-x+\mathrm{tan}\left(\frac{x}{2}\right)\,\ln\left(\cos\left(\frac{x}{2}\right)\right)+\ln\left(\cos\left(\frac{x}{2}\right)\right)\,1{}\mathrm{i}-\ln\left(\cos\left(x\right)+1+\sin\left(x\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"tan(x/2) - x + log(cos(x/2))*1i - log(cos(x) + sin(x)*1i + 1)*1i + tan(x/2)*log(cos(x/2))","B"
644,1,164,60,0.787402,"\text{Not used}","int((log(sin(x))*cos(x))/(cos(x) + 1)^2,x)","\frac{\frac{4\,\sin\left(2\,x\right)}{9}-\frac{\ln\left(-2\,{\sin\left(x\right)}^2+\sin\left(2\,x\right)\,1{}\mathrm{i}\right)\,7{}\mathrm{i}}{3}-\frac{14\,x}{3}+\frac{\ln\left(\sin\left(x\right)\right)\,7{}\mathrm{i}}{3}+\frac{7\,\sin\left(x\right)}{9}+\frac{\sin\left(2\,x\right)\,\ln\left(\sin\left(x\right)\right)}{3}-\frac{{\sin\left(x\right)}^2\,8{}\mathrm{i}}{9}+{\sin\left(\frac{x}{2}\right)}^2\,\left(\frac{16\,x}{3}+\frac{\ln\left(-2\,{\sin\left(x\right)}^2+\sin\left(2\,x\right)\,1{}\mathrm{i}\right)\,8{}\mathrm{i}}{3}-\frac{\ln\left(\sin\left(x\right)\right)\,8{}\mathrm{i}}{3}-\frac{32}{9}{}\mathrm{i}\right)+\frac{\ln\left(-2\,{\sin\left(x\right)}^2+\sin\left(2\,x\right)\,1{}\mathrm{i}\right)\,\left(2\,{\sin\left(x\right)}^2-1\right)\,1{}\mathrm{i}}{3}+\frac{\ln\left(\sin\left(x\right)\right)\,\sin\left(x\right)}{3}-\frac{\ln\left(\sin\left(x\right)\right)\,\left(2\,{\sin\left(x\right)}^2-1\right)\,1{}\mathrm{i}}{3}+\frac{2\,x\,\left(2\,{\sin\left(x\right)}^2-1\right)}{3}+\frac{32}{9}{}\mathrm{i}}{{\left(2\,{\sin\left(\frac{x}{2}\right)}^2-2\right)}^2}","Not used",1,"((4*sin(2*x))/9 - (log(sin(2*x)*1i - 2*sin(x)^2)*7i)/3 - (14*x)/3 + (log(sin(x))*7i)/3 + (7*sin(x))/9 + (sin(2*x)*log(sin(x)))/3 - (sin(x)^2*8i)/9 + sin(x/2)^2*((16*x)/3 + (log(sin(2*x)*1i - 2*sin(x)^2)*8i)/3 - (log(sin(x))*8i)/3 - 32i/9) + (log(sin(2*x)*1i - 2*sin(x)^2)*(2*sin(x)^2 - 1)*1i)/3 + (log(sin(x))*sin(x))/3 - (log(sin(x))*(2*sin(x)^2 - 1)*1i)/3 + (2*x*(2*sin(x)^2 - 1))/3 + 32i/9)/(2*sin(x/2)^2 - 2)^2","B"
645,0,-1,65,0.000000,"\text{Not used}","int(acos(x)^2/x^5,x)","\int \frac{{\mathrm{acos}\left(x\right)}^2}{x^5} \,d x","Not used",1,"int(acos(x)^2/x^5, x)","F"
646,0,-1,61,0.000000,"\text{Not used}","int(x^2*asin(x)^2,x)","\int x^2\,{\mathrm{asin}\left(x\right)}^2 \,d x","Not used",1,"int(x^2*asin(x)^2, x)","F"
647,1,41,53,0.343947,"\text{Not used}","int(x^3*atan(x)^2,x)","\frac{x^4\,{\mathrm{atan}\left(x\right)}^2}{4}-\frac{x^3\,\mathrm{atan}\left(x\right)}{6}-\frac{{\mathrm{atan}\left(x\right)}^2}{4}-\frac{\ln\left(x^2+1\right)}{3}+\frac{x\,\mathrm{atan}\left(x\right)}{2}+\frac{x^2}{12}","Not used",1,"(x^4*atan(x)^2)/4 - (x^3*atan(x))/6 - atan(x)^2/4 - log(x^2 + 1)/3 + (x*atan(x))/2 + x^2/12","B"
648,1,44,61,0.105281,"\text{Not used}","int(atan(x)^2/x^5,x)","\frac{\ln\left(x^2+1\right)}{3}-\frac{2\,\ln\left(x\right)}{3}-{\mathrm{atan}\left(x\right)}^2\,\left(\frac{1}{4\,x^4}-\frac{1}{4}\right)-\frac{1}{12\,x^2}+\frac{\mathrm{atan}\left(x\right)\,\left(\frac{x^2}{2}-\frac{1}{6}\right)}{x^3}","Not used",1,"log(x^2 + 1)/3 - (2*log(x))/3 - atan(x)^2*(1/(4*x^4) - 1/4) - 1/(12*x^2) + (atan(x)*(x^2/2 - 1/6))/x^3","B"
649,0,-1,63,0.000000,"\text{Not used}","int(x^3*asin(1/x)^2,x)","\int x^3\,{\mathrm{asin}\left(\frac{1}{x}\right)}^2 \,d x","Not used",1,"int(x^3*asin(1/x)^2, x)","F"
650,0,-1,148,0.000000,"\text{Not used}","int(acos(1/x)^4/x^5,x)","\int \frac{{\mathrm{acos}\left(\frac{1}{x}\right)}^4}{x^5} \,d x","Not used",1,"int(acos(1/x)^4/x^5, x)","F"
651,0,-1,34,0.000000,"\text{Not used}","int(asin(x)*(1 - x^2)^(1/2),x)","\int \mathrm{asin}\left(x\right)\,\sqrt{1-x^2} \,d x","Not used",1,"int(asin(x)*(1 - x^2)^(1/2), x)","F"
652,0,-1,34,0.000000,"\text{Not used}","int(acos(x)*(1 - x^2)^(1/2),x)","\int \mathrm{acos}\left(x\right)\,\sqrt{1-x^2} \,d x","Not used",1,"int(acos(x)*(1 - x^2)^(1/2), x)","F"
653,0,-1,30,0.000000,"\text{Not used}","int(x*acos(x)*(1 - x^2)^(1/2),x)","\int x\,\mathrm{acos}\left(x\right)\,\sqrt{1-x^2} \,d x","Not used",1,"int(x*acos(x)*(1 - x^2)^(1/2), x)","F"
654,0,-1,59,0.000000,"\text{Not used}","int(asin(x)*(1 - x^2)^(3/2),x)","\int \mathrm{asin}\left(x\right)\,{\left(1-x^2\right)}^{3/2} \,d x","Not used",1,"int(asin(x)*(1 - x^2)^(3/2), x)","F"
655,0,-1,37,0.000000,"\text{Not used}","int(x*asin(x)*(1 - x^2)^(3/2),x)","\int x\,\mathrm{asin}\left(x\right)\,{\left(1-x^2\right)}^{3/2} \,d x","Not used",1,"int(x*asin(x)*(1 - x^2)^(3/2), x)","F"
656,0,-1,61,0.000000,"\text{Not used}","int(x^3*acos(x)*(1 - x^2)^(3/2),x)","\int x^3\,\mathrm{acos}\left(x\right)\,{\left(1-x^2\right)}^{3/2} \,d x","Not used",1,"int(x^3*acos(x)*(1 - x^2)^(3/2), x)","F"
657,0,-1,95,0.000000,"\text{Not used}","int((acos(x)*(1 - x^2)^(3/2))/x,x)","\int \frac{\mathrm{acos}\left(x\right)\,{\left(1-x^2\right)}^{3/2}}{x} \,d x","Not used",1,"int((acos(x)*(1 - x^2)^(3/2))/x, x)","F"
658,0,-1,41,0.000000,"\text{Not used}","int((asin(x)*(1 - x^2)^(3/2))/x^6,x)","\int \frac{\mathrm{asin}\left(x\right)\,{\left(1-x^2\right)}^{3/2}}{x^6} \,d x","Not used",1,"int((asin(x)*(1 - x^2)^(3/2))/x^6, x)","F"
659,0,-1,34,0.000000,"\text{Not used}","int((x^2*asin(x))/(1 - x^2)^(1/2),x)","\int \frac{x^2\,\mathrm{asin}\left(x\right)}{\sqrt{1-x^2}} \,d x","Not used",1,"int((x^2*asin(x))/(1 - x^2)^(1/2), x)","F"
660,0,-1,61,0.000000,"\text{Not used}","int((x^4*asin(x))/(1 - x^2)^(1/2),x)","\int \frac{x^4\,\mathrm{asin}\left(x\right)}{\sqrt{1-x^2}} \,d x","Not used",1,"int((x^4*asin(x))/(1 - x^2)^(1/2), x)","F"
661,0,-1,19,0.000000,"\text{Not used}","int((x*asin(x))/(1 - x^2)^(3/2),x)","\int \frac{x\,\mathrm{asin}\left(x\right)}{{\left(1-x^2\right)}^{3/2}} \,d x","Not used",1,"int((x*asin(x))/(1 - x^2)^(3/2), x)","F"
662,0,-1,17,0.000000,"\text{Not used}","int((x*acos(x))/(1 - x^2)^(3/2),x)","\int \frac{x\,\mathrm{acos}\left(x\right)}{{\left(1-x^2\right)}^{3/2}} \,d x","Not used",1,"int((x*acos(x))/(1 - x^2)^(3/2), x)","F"
663,0,-1,62,0.000000,"\text{Not used}","int(asin(x)/(1 - x^2)^(5/2),x)","\int \frac{\mathrm{asin}\left(x\right)}{{\left(1-x^2\right)}^{5/2}} \,d x","Not used",1,"int(asin(x)/(1 - x^2)^(5/2), x)","F"
664,0,-1,36,0.000000,"\text{Not used}","int((x^3*asin(x))/(1 - x^2)^(3/2),x)","\int \frac{x^3\,\mathrm{asin}\left(x\right)}{{\left(1-x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^3*asin(x))/(1 - x^2)^(3/2), x)","F"
665,0,-1,62,0.000000,"\text{Not used}","int(asin(x)/(x*(1 - x^2)^(3/2)),x)","\int \frac{\mathrm{asin}\left(x\right)}{x\,{\left(1-x^2\right)}^{3/2}} \,d x","Not used",1,"int(asin(x)/(x*(1 - x^2)^(3/2)), x)","F"
666,0,-1,54,0.000000,"\text{Not used}","int(acos(x)/(x^4*(1 - x^2)^(1/2)),x)","\int \frac{\mathrm{acos}\left(x\right)}{x^4\,\sqrt{1-x^2}} \,d x","Not used",1,"int(acos(x)/(x^4*(1 - x^2)^(1/2)), x)","F"
667,0,-1,66,0.000000,"\text{Not used}","int(x*acos(x)^2*(1 - x^2)^(1/2),x)","\int x\,{\mathrm{acos}\left(x\right)}^2\,\sqrt{1-x^2} \,d x","Not used",1,"int(x*acos(x)^2*(1 - x^2)^(1/2), x)","F"
668,0,-1,73,0.000000,"\text{Not used}","int((x^2*asin(x)^3)/(1 - x^2)^(1/2),x)","\int \frac{x^2\,{\mathrm{asin}\left(x\right)}^3}{\sqrt{1-x^2}} \,d x","Not used",1,"int((x^2*asin(x)^3)/(1 - x^2)^(1/2), x)","F"
669,1,21,32,0.077946,"\text{Not used}","int((x*atan(x))/(x^2 + 1)^2,x)","\frac{\mathrm{atan}\left(x\right)}{4}+\frac{\frac{x}{4}-\frac{\mathrm{atan}\left(x\right)}{2}}{x^2+1}","Not used",1,"atan(x)/4 + (x/4 - atan(x)/2)/(x^2 + 1)","B"
670,1,26,44,0.318979,"\text{Not used}","int((x*atan(x))/(x^2 + 1)^3,x)","\frac{3\,\mathrm{atan}\left(x\right)}{32}+\frac{\frac{5\,x}{32}-\frac{\mathrm{atan}\left(x\right)}{4}+\frac{3\,x^3}{32}}{{\left(x^2+1\right)}^2}","Not used",1,"(3*atan(x))/32 + ((5*x)/32 - atan(x)/4 + (3*x^3)/32)/(x^2 + 1)^2","B"
671,1,19,23,0.309370,"\text{Not used}","int((x^2*atan(x))/(x^2 + 1),x)","-\frac{{\mathrm{atan}\left(x\right)}^2}{2}+x\,\mathrm{atan}\left(x\right)-\frac{\ln\left(x^2+1\right)}{2}","Not used",1,"x*atan(x) - atan(x)^2/2 - log(x^2 + 1)/2","B"
672,0,-1,67,0.000000,"\text{Not used}","int((x^3*atan(x))/(x^2 + 1),x)","\int \frac{x^3\,\mathrm{atan}\left(x\right)}{x^2+1} \,d x","Not used",1,"int((x^3*atan(x))/(x^2 + 1), x)","F"
673,1,23,34,0.064584,"\text{Not used}","int((x^2*atan(x))/(x^2 + 1)^2,x)","\frac{{\mathrm{atan}\left(x\right)}^2}{4}-\frac{\frac{x\,\mathrm{atan}\left(x\right)}{2}+\frac{1}{4}}{x^2+1}","Not used",1,"atan(x)^2/4 - ((x*atan(x))/2 + 1/4)/(x^2 + 1)","B"
674,0,-1,79,0.000000,"\text{Not used}","int((x^3*atan(x))/(x^2 + 1)^2,x)","\int \frac{x^3\,\mathrm{atan}\left(x\right)}{{\left(x^2+1\right)}^2} \,d x","Not used",1,"int((x^3*atan(x))/(x^2 + 1)^2, x)","F"
675,0,-1,89,0.000000,"\text{Not used}","int((x^5*atan(x))/(x^2 + 1)^2,x)","\int \frac{x^5\,\mathrm{atan}\left(x\right)}{{\left(x^2+1\right)}^2} \,d x","Not used",1,"int((x^5*atan(x))/(x^2 + 1)^2, x)","F"
676,1,22,22,0.066147,"\text{Not used}","int((atan(x)*(x^2 + 1))/x^2,x)","\ln\left(x\right)-\ln\left(x^2+1\right)-\frac{\mathrm{atan}\left(x\right)}{x}+x\,\mathrm{atan}\left(x\right)","Not used",1,"log(x) - log(x^2 + 1) - atan(x)/x + x*atan(x)","B"
677,1,30,31,0.321618,"\text{Not used}","int((atan(x)*(x^2 + 1))/x^5,x)","-\frac{\mathrm{atan}\left(x\right)}{4}-\frac{\frac{x}{12}+\frac{\mathrm{atan}\left(x\right)}{4}+\frac{x^2\,\mathrm{atan}\left(x\right)}{2}+\frac{x^3}{4}}{x^4}","Not used",1,"- atan(x)/4 - (x/12 + atan(x)/4 + (x^2*atan(x))/2 + x^3/4)/x^4","B"
678,1,53,63,0.497760,"\text{Not used}","int((atan(x)*(x^2 + 1)^2)/x^5,x)","\frac{x^2-\frac{1}{3}}{4\,x^3}-\frac{\mathrm{atan}\left(x\right)}{x^2}-\frac{\mathrm{atan}\left(x\right)}{4\,x^4}-\frac{3\,\mathrm{atan}\left(x\right)}{4}-\frac{1}{x}-\frac{{\mathrm{Li}}_{\mathrm{2}}\left(1-x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{\mathrm{polylog}\left(2,-x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(polylog(2, -x*1i)*1i)/2 - (3*atan(x))/4 - atan(x)/x^2 - atan(x)/(4*x^4) - (dilog(1 - x*1i)*1i)/2 + (x^2 - 1/3)/(4*x^3) - 1/x","B"
679,1,24,28,0.089226,"\text{Not used}","int(atan(x)/(x^2*(x^2 + 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^2+1\right)}{2}-\frac{\mathrm{atan}\left(x\right)}{x}-\frac{{\mathrm{atan}\left(x\right)}^2}{2}","Not used",1,"log(x) - log(x^2 + 1)/2 - atan(x)/x - atan(x)^2/2","B"
680,1,31,39,0.073572,"\text{Not used}","int(atan(x)^2/x^3,x)","\ln\left(x\right)-\frac{\ln\left(x^2+1\right)}{2}-\frac{\mathrm{atan}\left(x\right)}{x}-{\mathrm{atan}\left(x\right)}^2\,\left(\frac{1}{2\,x^2}+\frac{1}{2}\right)","Not used",1,"log(x) - log(x^2 + 1)/2 - atan(x)/x - atan(x)^2*(1/(2*x^2) + 1/2)","B"
681,1,51,60,0.120001,"\text{Not used}","int((atan(x)^2*(x^2 + 1))/x^5,x)","\frac{\ln\left(x\right)}{3}-\frac{\ln\left(x^2+1\right)}{6}-{\mathrm{atan}\left(x\right)}^2\,\left(\frac{\frac{x^2}{2}+\frac{1}{4}}{x^4}+\frac{1}{4}\right)-\frac{1}{12\,x^2}-\frac{\mathrm{atan}\left(x\right)\,\left(\frac{x^2}{2}+\frac{1}{6}\right)}{x^3}","Not used",1,"log(x)/3 - log(x^2 + 1)/6 - atan(x)^2*((x^2/2 + 1/4)/x^4 + 1/4) - 1/(12*x^2) - (atan(x)*(x^2/2 + 1/6))/x^3","B"
682,1,56,79,0.360286,"\text{Not used}","int((x^3*atan(x)^2)/(x^2 + 1)^3,x)","-\frac{-5\,x^4\,{\mathrm{atan}\left(x\right)}^2+4\,x^4-10\,x^3\,\mathrm{atan}\left(x\right)+6\,x^2\,{\mathrm{atan}\left(x\right)}^2+3\,x^2-6\,x\,\mathrm{atan}\left(x\right)+3\,{\mathrm{atan}\left(x\right)}^2}{32\,{\left(x^2+1\right)}^2}","Not used",1,"-(3*atan(x)^2 - 10*x^3*atan(x) + 6*x^2*atan(x)^2 - 5*x^4*atan(x)^2 - 6*x*atan(x) + 3*x^2 + 4*x^4)/(32*(x^2 + 1)^2)","B"
683,0,-1,107,0.000000,"\text{Not used}","int((acos(1/x)*(x^2 - 1)^(1/2))/x^2,x)","\int \frac{\mathrm{acos}\left(\frac{1}{x}\right)\,\sqrt{x^2-1}}{x^2} \,d x","Not used",1,"int((acos(1/x)*(x^2 - 1)^(1/2))/x^2, x)","F"
684,0,-1,106,0.000000,"\text{Not used}","int((asin(1/x)*(x^2 - 1)^(5/2))/x^3,x)","\int \frac{\mathrm{asin}\left(\frac{1}{x}\right)\,{\left(x^2-1\right)}^{5/2}}{x^3} \,d x","Not used",1,"int((asin(1/x)*(x^2 - 1)^(5/2))/x^3, x)","F"
685,0,-1,41,0.000000,"\text{Not used}","int((acos(1/x)*(x^2 - 1)^(1/2))/x^4,x)","\int \frac{\mathrm{acos}\left(\frac{1}{x}\right)\,\sqrt{x^2-1}}{x^4} \,d x","Not used",1,"int((acos(1/x)*(x^2 - 1)^(1/2))/x^4, x)","F"
686,0,-1,65,0.000000,"\text{Not used}","int(acos(1/x)/(x^2 - 1)^(5/2),x)","\int \frac{\mathrm{acos}\left(\frac{1}{x}\right)}{{\left(x^2-1\right)}^{5/2}} \,d x","Not used",1,"int(acos(1/x)/(x^2 - 1)^(5/2), x)","F"
687,0,-1,51,0.000000,"\text{Not used}","int((x^2*acos(1/x))/(x^2 - 1)^(5/2),x)","\int \frac{x^2\,\mathrm{acos}\left(\frac{1}{x}\right)}{{\left(x^2-1\right)}^{5/2}} \,d x","Not used",1,"int((x^2*acos(1/x))/(x^2 - 1)^(5/2), x)","F"
688,0,-1,82,0.000000,"\text{Not used}","int((x^3*acos(1/x))/(x^2 - 1)^(5/2),x)","\int \frac{x^3\,\mathrm{acos}\left(\frac{1}{x}\right)}{{\left(x^2-1\right)}^{5/2}} \,d x","Not used",1,"int((x^3*acos(1/x))/(x^2 - 1)^(5/2), x)","F"
689,0,-1,175,0.000000,"\text{Not used}","int((x^6*acos(1/x))/(x^2 - 1)^(5/2),x)","\int \frac{x^6\,\mathrm{acos}\left(\frac{1}{x}\right)}{{\left(x^2-1\right)}^{5/2}} \,d x","Not used",1,"int((x^6*acos(1/x))/(x^2 - 1)^(5/2), x)","F"
690,0,-1,23,0.000000,"\text{Not used}","int(acos(1/x)/(x^2*(x^2 - 1)^(1/2)),x)","\int \frac{\mathrm{acos}\left(\frac{1}{x}\right)}{x^2\,\sqrt{x^2-1}} \,d x","Not used",1,"int(acos(1/x)/(x^2*(x^2 - 1)^(1/2)), x)","F"
691,0,-1,70,0.000000,"\text{Not used}","int(asin(1/x)/(x^2*(x^2 - 1)^(5/2)),x)","\int \frac{\mathrm{asin}\left(\frac{1}{x}\right)}{x^2\,{\left(x^2-1\right)}^{5/2}} \,d x","Not used",1,"int(asin(1/x)/(x^2*(x^2 - 1)^(5/2)), x)","F"
692,0,-1,74,0.000000,"\text{Not used}","int(asin(1/x)^4/(x^2*(x^2 - 1)^(1/2)),x)","\int \frac{{\mathrm{asin}\left(\frac{1}{x}\right)}^4}{x^2\,\sqrt{x^2-1}} \,d x","Not used",1,"int(asin(1/x)^4/(x^2*(x^2 - 1)^(1/2)), x)","F"
693,0,-1,133,0.000000,"\text{Not used}","int((acos(1/x)^2*(x^2 - 1)^(3/2))/x^5,x)","\int \frac{{\mathrm{acos}\left(\frac{1}{x}\right)}^2\,{\left(x^2-1\right)}^{3/2}}{x^5} \,d x","Not used",1,"int((acos(1/x)^2*(x^2 - 1)^(3/2))/x^5, x)","F"
694,0,-1,110,0.000000,"\text{Not used}","int((acos(1/x)^3*(x^2 - 1)^(1/2))/x^4,x)","\int \frac{{\mathrm{acos}\left(\frac{1}{x}\right)}^3\,\sqrt{x^2-1}}{x^4} \,d x","Not used",1,"int((acos(1/x)^3*(x^2 - 1)^(1/2))/x^4, x)","F"
695,0,-1,55,0.000000,"\text{Not used}","int(asin((-(a - x)/(a + x))^(1/2)),x)","\int \mathrm{asin}\left(\sqrt{-\frac{a-x}{a+x}}\right) \,d x","Not used",1,"int(asin((-(a - x)/(a + x))^(1/2)), x)","F"
696,1,36,40,0.364166,"\text{Not used}","int(atan((-(a - x)/(a + x))^(1/2)),x)","x\,\mathrm{atan}\left(\sqrt{-\frac{a-x}{a+x}}\right)-a\,\mathrm{atanh}\left(\sqrt{-\frac{a-x}{a+x}}\right)","Not used",1,"x*atan((-(a - x)/(a + x))^(1/2)) - a*atanh((-(a - x)/(a + x))^(1/2))","B"
697,1,31,39,0.358579,"\text{Not used}","int(atan(x)/(x + 1)^3,x)","\frac{\ln\left(x+1\right)}{4}-\frac{\ln\left(x^2+1\right)}{8}-\frac{\frac{x}{4}+\frac{\mathrm{atan}\left(x\right)}{2}+\frac{1}{4}}{{\left(x+1\right)}^2}","Not used",1,"log(x + 1)/4 - log(x^2 + 1)/8 - (x/4 + atan(x)/2 + 1/4)/(x + 1)^2","B"
698,0,-1,122,0.000000,"\text{Not used}","int(-atan(a - x)/(a + x),x)","-\int \frac{\mathrm{atan}\left(a-x\right)}{a+x} \,d x","Not used",1,"-int(atan(a - x)/(a + x), x)","F"
699,0,-1,28,0.000000,"\text{Not used}","int(asin((1 - x^2)^(1/2))/(1 - x^2)^(1/2),x)","\int \frac{\mathrm{asin}\left(\sqrt{1-x^2}\right)}{\sqrt{1-x^2}} \,d x","Not used",1,"int(asin((1 - x^2)^(1/2))/(1 - x^2)^(1/2), x)","F"
700,1,25,31,0.570917,"\text{Not used}","int((x*atan((x^2 + 1)^(1/2)))/(x^2 + 1)^(1/2),x)","\mathrm{atan}\left(\sqrt{x^2+1}\right)\,\sqrt{x^2+1}-\frac{\ln\left(x^2+2\right)}{2}","Not used",1,"atan((x^2 + 1)^(1/2))*(x^2 + 1)^(1/2) - log(x^2 + 2)/2","B"
701,0,-1,57,0.000000,"\text{Not used}","int(asin(x)/(1 - x)^(5/2),x)","\int \frac{\mathrm{asin}\left(x\right)}{{\left(1-x\right)}^{5/2}} \,d x","Not used",1,"int(asin(x)/(1 - x)^(5/2), x)","F"
702,0,-1,82,0.000000,"\text{Not used}","int(asin(1/x)*(x - 1)^(5/2),x)","\int \mathrm{asin}\left(\frac{1}{x}\right)\,{\left(x-1\right)}^{5/2} \,d x","Not used",1,"int(asin(1/x)*(x - 1)^(5/2), x)","F"
703,0,-1,49,0.000000,"\text{Not used}","int(asin(sinh(x))/cosh(x)^4,x)","\int \frac{\mathrm{asin}\left(\mathrm{sinh}\left(x\right)\right)}{{\mathrm{cosh}\left(x\right)}^4} \,d x","Not used",1,"int(asin(sinh(x))/cosh(x)^4, x)","F"
704,1,103,36,0.535805,"\text{Not used}","int((acot(cosh(x))*cosh(x))/sinh(x)^4,x)","\frac{\sqrt{2}\,\ln\left(-\frac{2\,{\mathrm{e}}^{2\,x}}{3}-\frac{\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}+4\right)}{24}\right)}{24}-\frac{\sqrt{2}\,\ln\left(\frac{\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}+4\right)}{24}-\frac{2\,{\mathrm{e}}^{2\,x}}{3}\right)}{24}+\frac{1}{3\,\left({\mathrm{e}}^{2\,x}-1\right)}-\frac{8\,{\mathrm{e}}^{3\,x}\,\mathrm{acot}\left(\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}\right)}{3\,\left(3\,{\mathrm{e}}^{2\,x}-3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}-1\right)}","Not used",1,"(2^(1/2)*log(- (2*exp(2*x))/3 - (2^(1/2)*(12*exp(2*x) + 4))/24))/24 - (2^(1/2)*log((2^(1/2)*(12*exp(2*x) + 4))/24 - (2*exp(2*x))/3))/24 + 1/(3*(exp(2*x) - 1)) - (8*exp(3*x)*acot(exp(-x)/2 + exp(x)/2))/(3*(3*exp(2*x) - 3*exp(4*x) + exp(6*x) - 1))","B"
705,0,-1,28,0.000000,"\text{Not used}","int(asin(tanh(x))*exp(x),x)","\int \mathrm{asin}\left(\mathrm{tanh}\left(x\right)\right)\,{\mathrm{e}}^x \,d x","Not used",1,"int(asin(tanh(x))*exp(x), x)","F"