1,1,10,12,0.003565,"\text{Not used}","int(cot(x)^4,x)","-\frac{{\mathrm{cot}\left(x\right)}^3}{3}+\mathrm{cot}\left(x\right)+x","Not used",1,"x + cot(x) - cot(x)^3/3","B"
2,1,12,13,0.158237,"\text{Not used}","int(1/(x^4*(x^2 + 1)),x)","\mathrm{atan}\left(x\right)+\frac{x^2-\frac{1}{3}}{x^3}","Not used",1,"atan(x) + (x^2 - 1/3)/x^3","B"
3,1,10,19,0.030200,"\text{Not used}","int((x + x^2)/x^(1/2),x)","\frac{2\,x^{3/2}\,\left(3\,x+5\right)}{15}","Not used",1,"(2*x^(3/2)*(3*x + 5))/15","B"
4,1,2,2,0.028141,"\text{Not used}","int(cos(x),x)","\sin\left(x\right)","Not used",1,"sin(x)","B"
5,1,6,9,0.016689,"\text{Not used}","int(x*exp(x^2),x)","\frac{{\mathrm{e}}^{x^2}}{2}","Not used",1,"exp(x^2)/2","B"
6,1,6,8,0.021588,"\text{Not used}","int(tan(x)/cos(x)^2,x)","\frac{{\mathrm{tan}\left(x\right)}^2}{2}","Not used",1,"tan(x)^2/2","B"
7,1,9,13,0.028852,"\text{Not used}","int(x*(x^2 + 1)^(1/2),x)","\frac{{\left(x^2+1\right)}^{3/2}}{3}","Not used",1,"(x^2 + 1)^(3/2)/3","B"
8,1,11,19,0.019025,"\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"
9,1,6,8,0.052640,"\text{Not used}","int(cos(x)/sin(x)^4,x)","-\frac{1}{3\,{\sin\left(x\right)}^3}","Not used",1,"-1/(3*sin(x)^3)","B"
10,0,-1,4,0.000000,"\text{Not used}","int(sin(exp(x)),x)","\mathrm{sinint}\left({\mathrm{e}}^x\right)","Not used",1,"sinint(exp(x))","F"
11,0,-1,2,0.000000,"\text{Not used}","int(sin(y)/y,y)","\mathrm{sinint}\left(y\right)","Not used",1,"sinint(y)","F"
12,1,7,8,0.041592,"\text{Not used}","int(exp(x) + sin(x),x)","{\mathrm{e}}^x-\cos\left(x\right)","Not used",1,"exp(x) - cos(x)","B"
13,1,6,7,0.153369,"\text{Not used}","int(exp(x^2) + 2*x^2*exp(x^2),x)","x\,{\mathrm{e}}^{x^2}","Not used",1,"x*exp(x^2)","B"
14,1,21,28,0.054124,"\text{Not used}","int((x + exp(x))^2,x)","\frac{{\mathrm{e}}^{2\,x}}{2}-2\,{\mathrm{e}}^x+2\,x\,{\mathrm{e}}^x+\frac{x^3}{3}","Not used",1,"exp(2*x)/2 - 2*exp(x) + 2*x*exp(x) + x^3/3","B"
15,1,16,22,0.046616,"\text{Not used}","int(exp(2*x) + 2*exp(x) + x^2,x)","\frac{{\mathrm{e}}^{2\,x}}{2}+2\,{\mathrm{e}}^x+\frac{x^3}{3}","Not used",1,"exp(2*x)/2 + 2*exp(x) + x^3/3","B"
16,1,6,8,0.016862,"\text{Not used}","int(cos(x)*sin(x),x)","\frac{{\sin\left(x\right)}^2}{2}","Not used",1,"sin(x)^2/2","B"
17,1,6,9,0.002150,"\text{Not used}","int(x*exp(x^2),x)","\frac{{\mathrm{e}}^{x^2}}{2}","Not used",1,"exp(x^2)/2","B"
18,1,9,13,0.002080,"\text{Not used}","int(x*(x^2 + 1)^(1/2),x)","\frac{{\left(x^2+1\right)}^{3/2}}{3}","Not used",1,"(x^2 + 1)^(3/2)/3","B"
19,1,5,6,0.028839,"\text{Not used}","int(exp(x)/(exp(x) + 1),x)","\ln\left({\mathrm{e}}^x+1\right)","Not used",1,"log(exp(x) + 1)","B"
20,1,5,9,0.043711,"\text{Not used}","int(x^(3/2),x)","\frac{2\,x^{5/2}}{5}","Not used",1,"(2*x^(5/2))/5","B"
21,1,8,10,0.072250,"\text{Not used}","int(cos(2*x + 3),x)","\frac{\sin\left(2\,x+3\right)}{2}","Not used",1,"sin(2*x + 3)/2","B"
22,1,7,8,0.016029,"\text{Not used}","int(2*y*z*exp(2*x),x)","y\,z\,{\mathrm{e}}^{2\,x}","Not used",1,"y*z*exp(2*x)","B"
23,1,7,10,0.187296,"\text{Not used}","int(cos(exp(x))^2*sin(exp(x))*exp(x),x)","-\frac{{\cos\left({\mathrm{e}}^x\right)}^3}{3}","Not used",1,"-cos(exp(x))^3/3","B"
24,1,12,23,0.030754,"\text{Not used}","int(x*(x + 1)^(1/2),x)","\frac{2\,\left(3\,x-2\right)\,{\left(x+1\right)}^{3/2}}{15}","Not used",1,"(2*(3*x - 2)*(x + 1)^(3/2))/15","B"
25,1,9,13,0.158128,"\text{Not used}","int(1/(x^4 - 1),x)","-\frac{\mathrm{atan}\left(x\right)}{2}-\frac{\mathrm{atanh}\left(x\right)}{2}","Not used",1,"- atan(x)/2 - atanh(x)/2","B"
26,1,13,18,0.107043,"\text{Not used}","int(exp(x)/(3*exp(2*x) + 2),x)","\frac{\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,{\mathrm{e}}^x}{2}\right)}{6}","Not used",1,"(6^(1/2)*atan((6^(1/2)*exp(x))/2))/6","B"
27,1,19,31,0.231304,"\text{Not used}","int(exp(2*x)/(A + B*exp(4*x)),x)","\frac{\mathrm{atan}\left(\frac{B\,{\mathrm{e}}^{2\,x}}{\sqrt{A\,B}}\right)}{2\,\sqrt{A\,B}}","Not used",1,"atan((B*exp(2*x))/(A*B)^(1/2))/(2*(A*B)^(1/2))","B"
28,1,8,8,0.183570,"\text{Not used}","int(exp(x + 1)/(exp(x) + 1),x)","\mathrm{e}\,\ln\left({\mathrm{e}}^x+1\right)","Not used",1,"exp(1)*log(exp(x) + 1)","B"
29,1,12,12,0.071588,"\text{Not used}","int((10*exp(1))^x,x)","\frac{{10}^x\,{\mathrm{e}}^x}{\ln\left(10\right)+1}","Not used",1,"(10^x*exp(x))/(log(10) + 1)","B"
30,1,16,20,0.208153,"\text{Not used}","int(x^3*sin(x^2),x)","\frac{\sin\left(x^2\right)}{2}-\frac{x^2\,\cos\left(x^2\right)}{2}","Not used",1,"sin(x^2)/2 - (x^2*cos(x^2))/2","B"
31,1,52,49,0.138484,"\text{Not used}","int(x^7/(x^12 + 1),x)","-\frac{\ln\left(x^4+1\right)}{12}-\ln\left(x^4-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}-\frac{1}{2}\right)\,\left(-\frac{1}{24}+\frac{\sqrt{3}\,1{}\mathrm{i}}{24}\right)+\ln\left(x^4+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}-\frac{1}{2}\right)\,\left(\frac{1}{24}+\frac{\sqrt{3}\,1{}\mathrm{i}}{24}\right)","Not used",1,"log((3^(1/2)*1i)/2 + x^4 - 1/2)*((3^(1/2)*1i)/24 + 1/24) - log(x^4 - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/24 - 1/24) - log(x^4 + 1)/12","B"
32,0,-1,115,0.000000,"\text{Not used}","int(x^(3*a)*sin(x^(2*a)),x)","\int x^{3\,a}\,\sin\left(x^{2\,a}\right) \,d x","Not used",1,"int(x^(3*a)*sin(x^(2*a)), x)","F"
33,1,16,22,0.211676,"\text{Not used}","int(cos(x^(1/2)),x)","2\,\cos\left(\sqrt{x}\right)+2\,\sqrt{x}\,\sin\left(\sqrt{x}\right)","Not used",1,"2*cos(x^(1/2)) + 2*x^(1/2)*sin(x^(1/2))","B"
34,1,12,23,0.002223,"\text{Not used}","int(x*(x + 1)^(1/2),x)","\frac{2\,\left(3\,x-2\right)\,{\left(x+1\right)}^{3/2}}{15}","Not used",1,"(2*(3*x - 2)*(x + 1)^(3/2))/15","B"
35,1,24,32,0.002123,"\text{Not used}","int(1/(x^(1/2) + x^(1/3)),x)","2\,\sqrt{x}-6\,\ln\left(x^{1/6}+1\right)-3\,x^{1/3}+6\,x^{1/6}","Not used",1,"2*x^(1/2) - 6*log(x^(1/6) + 1) - 3*x^(1/3) + 6*x^(1/6)","B"
36,1,57,44,0.205769,"\text{Not used}","int(((x + 1)/(2*x + 3))^(1/2),x)","-\frac{\sqrt{2}\,\mathrm{atanh}\left(\sqrt{2}\,\sqrt{\frac{x+1}{2\,x+3}}\right)}{4}-\frac{\sqrt{\frac{x+1}{2\,x+3}}}{2\,\left(\frac{2\,x+2}{2\,x+3}-1\right)}","Not used",1,"- (2^(1/2)*atanh(2^(1/2)*((x + 1)/(2*x + 3))^(1/2)))/4 - ((x + 1)/(2*x + 3))^(1/2)/(2*((2*x + 2)/(2*x + 3) - 1))","B"
37,1,91,35,0.151470,"\text{Not used}","int(x^4/(1 - x^2)^(5/2),x)","\mathrm{asin}\left(x\right)+\frac{3\,\sqrt{1-x^2}}{4\,\left(x-1\right)}+\frac{3\,\sqrt{1-x^2}}{4\,\left(x+1\right)}-\sqrt{1-x^2}\,\left(\frac{1}{12\,\left(x-1\right)}-\frac{1}{12\,{\left(x-1\right)}^2}\right)-\sqrt{1-x^2}\,\left(\frac{1}{12\,\left(x+1\right)}+\frac{1}{12\,{\left(x+1\right)}^2}\right)","Not used",1,"asin(x) + (3*(1 - x^2)^(1/2))/(4*(x - 1)) + (3*(1 - x^2)^(1/2))/(4*(x + 1)) - (1 - x^2)^(1/2)*(1/(12*(x - 1)) - 1/(12*(x - 1)^2)) - (1 - x^2)^(1/2)*(1/(12*(x + 1)) + 1/(12*(x + 1)^2))","B"
38,0,-1,75,0.000000,"\text{Not used}","int(x^(1/2)*(x + 1)^(5/2),x)","\int \sqrt{x}\,{\left(x+1\right)}^{5/2} \,d x","Not used",1,"int(x^(1/2)*(x + 1)^(5/2), x)","F"
39,1,91,35,0.002282,"\text{Not used}","int(x^4/(1 - x^2)^(5/2),x)","\mathrm{asin}\left(x\right)+\frac{3\,\sqrt{1-x^2}}{4\,\left(x-1\right)}+\frac{3\,\sqrt{1-x^2}}{4\,\left(x+1\right)}-\sqrt{1-x^2}\,\left(\frac{1}{12\,\left(x-1\right)}-\frac{1}{12\,{\left(x-1\right)}^2}\right)-\sqrt{1-x^2}\,\left(\frac{1}{12\,\left(x+1\right)}+\frac{1}{12\,{\left(x+1\right)}^2}\right)","Not used",1,"asin(x) + (3*(1 - x^2)^(1/2))/(4*(x - 1)) + (3*(1 - x^2)^(1/2))/(4*(x + 1)) - (1 - x^2)^(1/2)*(1/(12*(x - 1)) - 1/(12*(x - 1)^2)) - (1 - x^2)^(1/2)*(1/(12*(x + 1)) + 1/(12*(x + 1)^2))","B"
40,0,-1,51,0.000000,"\text{Not used}","int(-(A^2 + B^2 - B^2*y^2)^(1/2)/(y^2 - 1),y)","\left\{\begin{array}{cl} -\int \frac{\sqrt{-B^2\,y^2}}{y^2-1} \,d y & \text{\ if\ \ }A^2+B^2=0\\ -\ln\left(2\,y\,\sqrt{-B^2}+2\,\sqrt{A^2-B^2\,y^2+B^2}\right)\,\sqrt{-B^2}-\mathrm{atan}\left(\frac{y\,\sqrt{A^2}\,1{}\mathrm{i}}{\sqrt{A^2-B^2\,y^2+B^2}}\right)\,\sqrt{A^2}\,1{}\mathrm{i} & \text{\ if\ \ }A^2+B^2\neq 0 \end{array}\right.","Not used",1,"piecewise(A^2 + B^2 == 0, -int((-B^2*y^2)^(1/2)/(y^2 - 1), y), A^2 + B^2 ~= 0, - atan((y*(A^2)^(1/2)*1i)/(A^2 + B^2 - B^2*y^2)^(1/2))*(A^2)^(1/2)*1i - log(2*y*(-B^2)^(1/2) + 2*(A^2 + B^2 - B^2*y^2)^(1/2))*(-B^2)^(1/2))","F"
41,1,10,14,0.032561,"\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"
42,0,-1,49,0.000000,"\text{Not used}","int((B^2*sin(x)^2 + A^2)^(1/2)/sin(x),x)","\int \frac{\sqrt{A^2+B^2\,{\sin\left(x\right)}^2}}{\sin\left(x\right)} \,d x","Not used",1,"int((B^2*sin(x)^2 + A^2)^(1/2)/sin(x), x)","F"
43,1,4,9,0.181868,"\text{Not used}","int(1/(cos(x) + 1),x)","\mathrm{tan}\left(\frac{x}{2}\right)","Not used",1,"tan(x/2)","B"
44,1,6,11,0.016744,"\text{Not used}","int(x*exp(x),x)","{\mathrm{e}}^x\,\left(x-1\right)","Not used",1,"exp(x)*(x - 1)","B"
45,1,8,9,0.085806,"\text{Not used}","int((x*exp(x))/(x + 1)^2,x)","\frac{{\mathrm{e}}^x}{x+1}","Not used",1,"exp(x)/(x + 1)","B"
46,1,6,7,0.145091,"\text{Not used}","int(exp(x^2)*(2*x^2 + 1),x)","x\,{\mathrm{e}}^{x^2}","Not used",1,"x*exp(x^2)","B"
47,1,7,11,0.019382,"\text{Not used}","int(exp(x^2),x)","\frac{\sqrt{\pi }\,\mathrm{erfi}\left(x\right)}{2}","Not used",1,"(pi^(1/2)*erfi(x))/2","B"
48,1,2,2,0.007510,"\text{Not used}","int(exp(x)/x,x)","\mathrm{ei}\left(x\right)","Not used",1,"ei(x)","B"
49,1,46,41,0.105734,"\text{Not used}","int(x/(x^3 + 1),x)","-\frac{\ln\left(x+1\right)}{3}-\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/6 + 1/6) - log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/6 - 1/6) - log(x + 1)/3","B"
50,1,88,47,0.090082,"\text{Not used}","int(1/(x^6 - 1),x)","-\frac{\mathrm{atanh}\left(x\right)}{3}-\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}+\frac{\sqrt{3}\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{6}+\frac{1}{6}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}-\frac{\sqrt{3}\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{6}-\frac{1}{6}{}\mathrm{i}\right)","Not used",1,"- atanh(x)/3 - atan((x*1i)/(3^(1/2)*1i + 1) + (3^(1/2)*x)/(3^(1/2)*1i + 1))*(3^(1/2)/6 + 1i/6) - atan((x*1i)/(3^(1/2)*1i - 1) - (3^(1/2)*x)/(3^(1/2)*1i - 1))*(3^(1/2)/6 - 1i/6)","B"
51,1,21,21,0.239998,"\text{Not used}","int(-1/(x^2*(A^2 - B^2) - A^4 + A^2*B^2),x)","-\frac{\mathrm{atanh}\left(\frac{x}{A}\right)}{A\,B^2-A^3}","Not used",1,"-atanh(x/A)/(A*B^2 - A^3)","B"
52,1,9,17,0.035426,"\text{Not used}","int(x*log(x),x)","\frac{x^2\,\left(\ln\left(x\right)-\frac{1}{2}\right)}{2}","Not used",1,"(x^2*(log(x) - 1/2))/2","B"
53,1,24,40,0.002055,"\text{Not used}","int(x^2*asin(x),x)","\frac{x^3\,\mathrm{asin}\left(x\right)}{3}+\frac{\sqrt{1-x^2}\,\left(x^2+2\right)}{9}","Not used",1,"(x^3*asin(x))/3 + ((1 - x^2)^(1/2)*(x^2 + 2))/9","B"
54,1,7,7,0.020536,"\text{Not used}","int(1/(2*x + x^2 + 1),x)","-\frac{1}{x+1}","Not used",1,"-1/(x + 1)","B"
55,1,8,8,0.263541,"\text{Not used}","int(log(x)/(log(x) + 1)^2,x)","\frac{x}{\ln\left(x\right)+1}","Not used",1,"x/(log(x) + 1)","B"
56,1,3,3,0.307039,"\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"
57,1,2,2,0.011481,"\text{Not used}","int(1/log(x),x)","\mathrm{logint}\left(x\right)","Not used",1,"logint(x)","B"
58,1,14,14,0.059302,"\text{Not used}","int(x*(cos(x) + sin(x)),x)","\cos\left(x\right)+\sin\left(x\right)-x\,\cos\left(x\right)+x\,\sin\left(x\right)","Not used",1,"cos(x) + sin(x) - x*cos(x) + x*sin(x)","B"
59,1,15,17,0.057937,"\text{Not used}","int(exp(-x)*(x + exp(x)),x)","x-{\mathrm{e}}^{-x}-x\,{\mathrm{e}}^{-x}","Not used",1,"x - exp(-x) - x*exp(-x)","B"
60,1,28,38,0.156606,"\text{Not used}","int(x*(exp(x) + 1)^2,x)","\frac{x\,{\mathrm{e}}^{2\,x}}{2}-2\,{\mathrm{e}}^x-\frac{{\mathrm{e}}^{2\,x}}{4}+2\,x\,{\mathrm{e}}^x+\frac{x^2}{2}","Not used",1,"(x*exp(2*x))/2 - 2*exp(x) - exp(2*x)/4 + 2*x*exp(x) + x^2/2","B"
61,1,7,7,0.017892,"\text{Not used}","int(x*cos(x),x)","\cos\left(x\right)+x\,\sin\left(x\right)","Not used",1,"cos(x) + x*sin(x)","B"
62,1,16,22,0.002097,"\text{Not used}","int(cos(x^(1/2)),x)","2\,\cos\left(\sqrt{x}\right)+2\,\sqrt{x}\,\sin\left(\sqrt{x}\right)","Not used",1,"2*cos(x^(1/2)) + 2*x^(1/2)*sin(x^(1/2))","B"
63,1,7,7,0.002082,"\text{Not used}","int(x*cos(x),x)","\cos\left(x\right)+x\,\sin\left(x\right)","Not used",1,"cos(x) + x*sin(x)","B"
64,1,17,28,0.032345,"\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"
65,1,9,11,0.040448,"\text{Not used}","int(cos(x)*(sin(x)^3 + 1),x)","\frac{{\sin\left(x\right)}^4}{4}+\sin\left(x\right)","Not used",1,"sin(x) + sin(x)^4/4","B"
66,1,3,3,0.002129,"\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"
67,1,43,3,3.099159,"\text{Not used}","int(1/((1 - x^2)^(1/2)*(asin(x)^2 + 1)),x)","\frac{\ln\left(\frac{-1+\mathrm{asin}\left(x\right)\,1{}\mathrm{i}}{\sqrt{1-x^2}}\right)\,1{}\mathrm{i}}{2}-\frac{\ln\left(\frac{1+\mathrm{asin}\left(x\right)\,1{}\mathrm{i}}{\sqrt{1-x^2}}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(log((asin(x)*1i - 1)/(1 - x^2)^(1/2))*1i)/2 - (log((asin(x)*1i + 1)/(1 - x^2)^(1/2))*1i)/2","B"
68,1,13,16,0.028631,"\text{Not used}","int(sin(x)/(cos(x) + sin(x)),x)","\frac{x}{2}-\frac{\ln\left(\cos\left(x-\frac{\pi }{4}\right)\right)}{2}","Not used",1,"x/2 - log(cos(x - pi/4))/2","B"
69,0,-1,53,0.000000,"\text{Not used}","int((A^2 - B^2*(y^2 - 1))^(1/2)/(y^2 - 1),y)","\left\{\begin{array}{cl} \int \frac{\sqrt{-B^2\,y^2}}{y^2-1} \,d y & \text{\ if\ \ }A^2+B^2=0\\ \ln\left(2\,y\,\sqrt{-B^2}+2\,\sqrt{A^2-B^2\,y^2+B^2}\right)\,\sqrt{-B^2}+\mathrm{atan}\left(\frac{y\,\sqrt{A^2}\,1{}\mathrm{i}}{\sqrt{A^2-B^2\,y^2+B^2}}\right)\,\sqrt{A^2}\,1{}\mathrm{i} & \text{\ if\ \ }A^2+B^2\neq 0 \end{array}\right.","Not used",1,"piecewise(A^2 + B^2 == 0, int((-B^2*y^2)^(1/2)/(y^2 - 1), y), A^2 + B^2 ~= 0, atan((y*(A^2)^(1/2)*1i)/(A^2 + B^2 - B^2*y^2)^(1/2))*(A^2)^(1/2)*1i + log(2*y*(-B^2)^(1/2) + 2*(A^2 + B^2 - B^2*y^2)^(1/2))*(-B^2)^(1/2))","F"
70,1,360,16,0.499426,"\text{Not used}","int((cos(z)^2*(A^2 + B^2))/(B*((sin(z)^2*(A^2 + B^2))/B^2 - 1)),z)","-A\,\mathrm{atanh}\left(\frac{2\,A^{13}\,\mathrm{tan}\left(z\right)}{2\,A^{12}\,B+6\,A^{10}\,B^3+6\,A^8\,B^5+2\,A^6\,B^7}+\frac{2\,A^7\,B^6\,\mathrm{tan}\left(z\right)}{2\,A^{12}\,B+6\,A^{10}\,B^3+6\,A^8\,B^5+2\,A^6\,B^7}+\frac{6\,A^9\,B^4\,\mathrm{tan}\left(z\right)}{2\,A^{12}\,B+6\,A^{10}\,B^3+6\,A^8\,B^5+2\,A^6\,B^7}+\frac{6\,A^{11}\,B^2\,\mathrm{tan}\left(z\right)}{2\,A^{12}\,B+6\,A^{10}\,B^3+6\,A^8\,B^5+2\,A^6\,B^7}\right)-B\,\mathrm{atan}\left(\frac{2\,A^4\,B^9\,\mathrm{tan}\left(z\right)}{2\,A^{10}\,B^3+6\,A^8\,B^5+6\,A^6\,B^7+2\,A^4\,B^9}+\frac{6\,A^6\,B^7\,\mathrm{tan}\left(z\right)}{2\,A^{10}\,B^3+6\,A^8\,B^5+6\,A^6\,B^7+2\,A^4\,B^9}+\frac{6\,A^8\,B^5\,\mathrm{tan}\left(z\right)}{2\,A^{10}\,B^3+6\,A^8\,B^5+6\,A^6\,B^7+2\,A^4\,B^9}+\frac{2\,A^{10}\,B^3\,\mathrm{tan}\left(z\right)}{2\,A^{10}\,B^3+6\,A^8\,B^5+6\,A^6\,B^7+2\,A^4\,B^9}\right)","Not used",1,"- A*atanh((2*A^13*tan(z))/(2*A^12*B + 2*A^6*B^7 + 6*A^8*B^5 + 6*A^10*B^3) + (2*A^7*B^6*tan(z))/(2*A^12*B + 2*A^6*B^7 + 6*A^8*B^5 + 6*A^10*B^3) + (6*A^9*B^4*tan(z))/(2*A^12*B + 2*A^6*B^7 + 6*A^8*B^5 + 6*A^10*B^3) + (6*A^11*B^2*tan(z))/(2*A^12*B + 2*A^6*B^7 + 6*A^8*B^5 + 6*A^10*B^3)) - B*atan((2*A^4*B^9*tan(z))/(2*A^4*B^9 + 6*A^6*B^7 + 6*A^8*B^5 + 2*A^10*B^3) + (6*A^6*B^7*tan(z))/(2*A^4*B^9 + 6*A^6*B^7 + 6*A^8*B^5 + 2*A^10*B^3) + (6*A^8*B^5*tan(z))/(2*A^4*B^9 + 6*A^6*B^7 + 6*A^8*B^5 + 2*A^10*B^3) + (2*A^10*B^3*tan(z))/(2*A^4*B^9 + 6*A^6*B^7 + 6*A^8*B^5 + 2*A^10*B^3))","B"
71,1,352,16,0.236151,"\text{Not used}","int((A^2 + B^2)/(B*(w^2 + 1)^2*((w^2*(A^2 + B^2))/(B^2*(w^2 + 1)) - 1)),w)","-A\,\mathrm{atanh}\left(\frac{2\,A^{13}\,w}{2\,A^{12}\,B+6\,A^{10}\,B^3+6\,A^8\,B^5+2\,A^6\,B^7}+\frac{2\,A^7\,B^6\,w}{2\,A^{12}\,B+6\,A^{10}\,B^3+6\,A^8\,B^5+2\,A^6\,B^7}+\frac{6\,A^9\,B^4\,w}{2\,A^{12}\,B+6\,A^{10}\,B^3+6\,A^8\,B^5+2\,A^6\,B^7}+\frac{6\,A^{11}\,B^2\,w}{2\,A^{12}\,B+6\,A^{10}\,B^3+6\,A^8\,B^5+2\,A^6\,B^7}\right)-B\,\mathrm{atan}\left(\frac{2\,A^4\,B^9\,w}{2\,A^{10}\,B^3+6\,A^8\,B^5+6\,A^6\,B^7+2\,A^4\,B^9}+\frac{6\,A^6\,B^7\,w}{2\,A^{10}\,B^3+6\,A^8\,B^5+6\,A^6\,B^7+2\,A^4\,B^9}+\frac{6\,A^8\,B^5\,w}{2\,A^{10}\,B^3+6\,A^8\,B^5+6\,A^6\,B^7+2\,A^4\,B^9}+\frac{2\,A^{10}\,B^3\,w}{2\,A^{10}\,B^3+6\,A^8\,B^5+6\,A^6\,B^7+2\,A^4\,B^9}\right)","Not used",1,"- A*atanh((2*A^13*w)/(2*A^12*B + 2*A^6*B^7 + 6*A^8*B^5 + 6*A^10*B^3) + (2*A^7*B^6*w)/(2*A^12*B + 2*A^6*B^7 + 6*A^8*B^5 + 6*A^10*B^3) + (6*A^9*B^4*w)/(2*A^12*B + 2*A^6*B^7 + 6*A^8*B^5 + 6*A^10*B^3) + (6*A^11*B^2*w)/(2*A^12*B + 2*A^6*B^7 + 6*A^8*B^5 + 6*A^10*B^3)) - B*atan((2*A^4*B^9*w)/(2*A^4*B^9 + 6*A^6*B^7 + 6*A^8*B^5 + 2*A^10*B^3) + (6*A^6*B^7*w)/(2*A^4*B^9 + 6*A^6*B^7 + 6*A^8*B^5 + 2*A^10*B^3) + (6*A^8*B^5*w)/(2*A^4*B^9 + 6*A^6*B^7 + 6*A^8*B^5 + 2*A^10*B^3) + (2*A^10*B^3*w)/(2*A^4*B^9 + 6*A^6*B^7 + 6*A^8*B^5 + 2*A^10*B^3))","B"
72,1,352,16,0.057601,"\text{Not used}","int(-(B*(A^2 + B^2))/((w^2 + 1)*(B^2 - A^2*w^2)),w)","-A\,\mathrm{atanh}\left(\frac{2\,A^{13}\,w}{2\,A^{12}\,B+6\,A^{10}\,B^3+6\,A^8\,B^5+2\,A^6\,B^7}+\frac{2\,A^7\,B^6\,w}{2\,A^{12}\,B+6\,A^{10}\,B^3+6\,A^8\,B^5+2\,A^6\,B^7}+\frac{6\,A^9\,B^4\,w}{2\,A^{12}\,B+6\,A^{10}\,B^3+6\,A^8\,B^5+2\,A^6\,B^7}+\frac{6\,A^{11}\,B^2\,w}{2\,A^{12}\,B+6\,A^{10}\,B^3+6\,A^8\,B^5+2\,A^6\,B^7}\right)-B\,\mathrm{atan}\left(\frac{2\,A^4\,B^9\,w}{2\,A^{10}\,B^3+6\,A^8\,B^5+6\,A^6\,B^7+2\,A^4\,B^9}+\frac{6\,A^6\,B^7\,w}{2\,A^{10}\,B^3+6\,A^8\,B^5+6\,A^6\,B^7+2\,A^4\,B^9}+\frac{6\,A^8\,B^5\,w}{2\,A^{10}\,B^3+6\,A^8\,B^5+6\,A^6\,B^7+2\,A^4\,B^9}+\frac{2\,A^{10}\,B^3\,w}{2\,A^{10}\,B^3+6\,A^8\,B^5+6\,A^6\,B^7+2\,A^4\,B^9}\right)","Not used",1,"- A*atanh((2*A^13*w)/(2*A^12*B + 2*A^6*B^7 + 6*A^8*B^5 + 6*A^10*B^3) + (2*A^7*B^6*w)/(2*A^12*B + 2*A^6*B^7 + 6*A^8*B^5 + 6*A^10*B^3) + (6*A^9*B^4*w)/(2*A^12*B + 2*A^6*B^7 + 6*A^8*B^5 + 6*A^10*B^3) + (6*A^11*B^2*w)/(2*A^12*B + 2*A^6*B^7 + 6*A^8*B^5 + 6*A^10*B^3)) - B*atan((2*A^4*B^9*w)/(2*A^4*B^9 + 6*A^6*B^7 + 6*A^8*B^5 + 2*A^10*B^3) + (6*A^6*B^7*w)/(2*A^4*B^9 + 6*A^6*B^7 + 6*A^8*B^5 + 2*A^10*B^3) + (6*A^8*B^5*w)/(2*A^4*B^9 + 6*A^6*B^7 + 6*A^8*B^5 + 2*A^10*B^3) + (2*A^10*B^3*w)/(2*A^4*B^9 + 6*A^6*B^7 + 6*A^8*B^5 + 2*A^10*B^3))","B"
73,1,91,35,0.002068,"\text{Not used}","int(x^4/(1 - x^2)^(5/2),x)","\mathrm{asin}\left(x\right)+\frac{3\,\sqrt{1-x^2}}{4\,\left(x-1\right)}+\frac{3\,\sqrt{1-x^2}}{4\,\left(x+1\right)}-\sqrt{1-x^2}\,\left(\frac{1}{12\,\left(x-1\right)}-\frac{1}{12\,{\left(x-1\right)}^2}\right)-\sqrt{1-x^2}\,\left(\frac{1}{12\,\left(x+1\right)}+\frac{1}{12\,{\left(x+1\right)}^2}\right)","Not used",1,"asin(x) + (3*(1 - x^2)^(1/2))/(4*(x - 1)) + (3*(1 - x^2)^(1/2))/(4*(x + 1)) - (1 - x^2)^(1/2)*(1/(12*(x - 1)) - 1/(12*(x - 1)^2)) - (1 - x^2)^(1/2)*(1/(12*(x + 1)) + 1/(12*(x + 1)^2))","B"
74,1,12,14,0.071540,"\text{Not used}","int(sin(y)^4/cos(y)^4,y)","\frac{{\mathrm{tan}\left(y\right)}^3}{3}-\mathrm{tan}\left(y\right)+y","Not used",1,"y - tan(y) + tan(y)^3/3","B"
75,1,11,13,0.028418,"\text{Not used}","int(z^4/(z^2 + 1),z)","\mathrm{atan}\left(z\right)-z+\frac{z^3}{3}","Not used",1,"atan(z) - z + z^3/3","B"
76,1,6,7,0.002200,"\text{Not used}","int(exp(x^2)*(2*x^2 + 1),x)","x\,{\mathrm{e}}^{x^2}","Not used",1,"x*exp(x^2)","B"
77,1,24,24,0.222765,"\text{Not used}","int((exp(x^2)*(4*x^2 + x^3 + 5*x^4 + 2*x^6 + 1))/(x^2 + 1)^2,x)","\frac{{\mathrm{e}}^{x^2}\,\left(2\,x^3+2\,x+1\right)}{2\,\left(x^2+1\right)}","Not used",1,"(exp(x^2)*(2*x + 2*x^3 + 1))/(2*(x^2 + 1))","B"
78,1,8,9,0.031595,"\text{Not used}","int(exp(- x - 1),x)","-{\mathrm{e}}^{-x-1}","Not used",1,"-exp(- x - 1)","B"
79,1,19,25,0.226934,"\text{Not used}","int(log(x)*(x + 1/x),x)","\frac{x^2\,\ln\left(x\right)}{2}-\frac{x^2}{4}+\frac{{\ln\left(x\right)}^2}{2}","Not used",1,"(x^2*log(x))/2 + log(x)^2/2 - x^2/4","B"
80,1,6,8,0.056390,"\text{Not used}","int(x/(x^4 + 1),x)","\frac{\mathrm{atan}\left(x^2\right)}{2}","Not used",1,"atan(x^2)/2","B"
81,1,12,16,0.022081,"\text{Not used}","int(x^5/(x^4 + 1),x)","\frac{x^2}{2}-\frac{\mathrm{atan}\left(x^2\right)}{2}","Not used",1,"x^2/2 - atan(x^2)/2","B"
82,1,10,14,0.178138,"\text{Not used}","int(1/(tan(x)^2 + 1),x)","\frac{x}{2}+\frac{\sin\left(2\,x\right)}{4}","Not used",1,"x/2 + sin(2*x)/4","B"
83,1,91,35,0.002081,"\text{Not used}","int(x^4/(1 - x^2)^(5/2),x)","\mathrm{asin}\left(x\right)+\frac{3\,\sqrt{1-x^2}}{4\,\left(x-1\right)}+\frac{3\,\sqrt{1-x^2}}{4\,\left(x+1\right)}-\sqrt{1-x^2}\,\left(\frac{1}{12\,\left(x-1\right)}-\frac{1}{12\,{\left(x-1\right)}^2}\right)-\sqrt{1-x^2}\,\left(\frac{1}{12\,\left(x+1\right)}+\frac{1}{12\,{\left(x+1\right)}^2}\right)","Not used",1,"asin(x) + (3*(1 - x^2)^(1/2))/(4*(x - 1)) + (3*(1 - x^2)^(1/2))/(4*(x + 1)) - (1 - x^2)^(1/2)*(1/(12*(x - 1)) - 1/(12*(x - 1)^2)) - (1 - x^2)^(1/2)*(1/(12*(x + 1)) + 1/(12*(x + 1)^2))","B"
84,1,37,17,0.162897,"\text{Not used}","int(-x^2/(1 - x^2)^(3/2),x)","\mathrm{asin}\left(x\right)+\frac{\sqrt{1-x^2}}{2\,\left(x-1\right)}+\frac{\sqrt{1-x^2}}{2\,\left(x+1\right)}","Not used",1,"asin(x) + (1 - x^2)^(1/2)/(2*(x - 1)) + (1 - x^2)^(1/2)/(2*(x + 1))","B"
85,1,11,19,0.002191,"\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"
86,1,2,2,0.006080,"\text{Not used}","int(1/x,x)","\ln\left(x\right)","Not used",1,"log(x)","B"
87,1,32,45,0.715141,"\text{Not used}","int(1/(cos(2*t)*(3*tan(t) + 1/cos(t)^2 + 1)),t)","\frac{\ln\left(\mathrm{tan}\left(t\right)+2\right)}{3}-\frac{\ln\left(\mathrm{tan}\left(t\right)+1\right)}{4}-\frac{\ln\left(\mathrm{tan}\left(t\right)-1\right)}{12}-\frac{1}{2\,\left(\mathrm{tan}\left(t\right)+1\right)}","Not used",1,"log(tan(t) + 2)/3 - log(tan(t) + 1)/4 - log(tan(t) - 1)/12 - 1/(2*(tan(t) + 1))","B"
88,1,10,14,0.002079,"\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"
89,1,10,17,0.024159,"\text{Not used}","int((x^2 + 1)/x^(1/2),x)","\frac{2\,\sqrt{x}\,\left(x^2+5\right)}{5}","Not used",1,"(2*x^(1/2)*(x^2 + 5))/5","B"
90,1,27,23,0.077863,"\text{Not used}","int(x/(2*x + x^2 + 5)^(1/2),x)","\sqrt{x^2+2\,x+5}-\ln\left(x+\sqrt{x^2+2\,x+5}+1\right)","Not used",1,"(2*x + x^2 + 5)^(1/2) - log(x + (2*x + x^2 + 5)^(1/2) + 1)","B"
91,1,6,8,0.027166,"\text{Not used}","int(cos(x)*sin(x)^2,x)","\frac{{\sin\left(x\right)}^3}{3}","Not used",1,"sin(x)^3/3","B"
92,1,5,6,0.002001,"\text{Not used}","int(exp(x)/(exp(x) + 1),x)","\ln\left({\mathrm{e}}^x+1\right)","Not used",1,"log(exp(x) + 1)","B"
93,1,10,12,0.053038,"\text{Not used}","int(exp(2*x)/(exp(x) + 1),x)","{\mathrm{e}}^x-\ln\left({\mathrm{e}}^x+1\right)","Not used",1,"exp(x) - log(exp(x) + 1)","B"
94,1,6,12,0.261537,"\text{Not used}","int(-1/(cos(x) - 1),x)","-\mathrm{cot}\left(\frac{x}{2}\right)","Not used",1,"-cot(x/2)","B"
95,1,6,8,0.002263,"\text{Not used}","int(tan(x)/cos(x)^2,x)","\frac{{\mathrm{tan}\left(x\right)}^2}{2}","Not used",1,"tan(x)^2/2","B"
96,1,9,17,0.002377,"\text{Not used}","int(x*log(x),x)","\frac{x^2\,\left(\ln\left(x\right)-\frac{1}{2}\right)}{2}","Not used",1,"(x^2*(log(x) - 1/2))/2","B"
97,1,6,8,0.002349,"\text{Not used}","int(cos(x)*sin(x),x)","\frac{{\sin\left(x\right)}^2}{2}","Not used",1,"sin(x)^2/2","B"
98,1,20,24,0.267882,"\text{Not used}","int((x + 1)/(2*x - x^2)^(1/2),x)","2\,\mathrm{asin}\left(x-1\right)-\sqrt{2\,x-x^2}","Not used",1,"2*asin(x - 1) - (2*x - x^2)^(1/2)","B"
99,1,13,20,0.090890,"\text{Not used}","int((2*exp(x))/(3*exp(2*x) + 2),x)","\frac{\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,{\mathrm{e}}^x}{2}\right)}{3}","Not used",1,"(6^(1/2)*atan((6^(1/2)*exp(x))/2))/3","B"
100,1,91,35,0.002108,"\text{Not used}","int(x^4/(1 - x^2)^(5/2),x)","\mathrm{asin}\left(x\right)+\frac{3\,\sqrt{1-x^2}}{4\,\left(x-1\right)}+\frac{3\,\sqrt{1-x^2}}{4\,\left(x+1\right)}-\sqrt{1-x^2}\,\left(\frac{1}{12\,\left(x-1\right)}-\frac{1}{12\,{\left(x-1\right)}^2}\right)-\sqrt{1-x^2}\,\left(\frac{1}{12\,\left(x+1\right)}+\frac{1}{12\,{\left(x+1\right)}^2}\right)","Not used",1,"asin(x) + (3*(1 - x^2)^(1/2))/(4*(x - 1)) + (3*(1 - x^2)^(1/2))/(4*(x + 1)) - (1 - x^2)^(1/2)*(1/(12*(x - 1)) - 1/(12*(x - 1)^2)) - (1 - x^2)^(1/2)*(1/(12*(x + 1)) + 1/(12*(x + 1)^2))","B"
101,1,14,20,0.067494,"\text{Not used}","int(exp(6*x)/(exp(4*x) + 1),x)","\frac{{\mathrm{e}}^{2\,x}}{2}-\frac{\mathrm{atan}\left({\mathrm{e}}^{2\,x}\right)}{2}","Not used",1,"exp(2*x)/2 - atan(exp(2*x))/2","B"
102,1,26,33,0.002170,"\text{Not used}","int(log(3*x^2 + 2),x)","\frac{2\,\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,x}{2}\right)}{3}-2\,x+x\,\ln\left(3\,x^2+2\right)","Not used",1,"(2*6^(1/2)*atan((6^(1/2)*x)/2))/3 - 2*x + x*log(3*x^2 + 2)","B"
103,1,19,21,0.002351,"\text{Not used}","int(1/(r*(2*H*r^2 - a^2)^(1/2)),x)","\frac{x}{r\,\sqrt{2\,H\,r^2-a^2}}","Not used",1,"x/(r*(2*H*r^2 - a^2)^(1/2))","B"
104,1,24,26,0.002544,"\text{Not used}","int(1/(r*(2*H*r^2 - a^2 - e^2)^(1/2)),x)","\frac{x}{r\,\sqrt{-a^2-e^2+2\,H\,r^2}}","Not used",1,"x/(r*(2*H*r^2 - a^2 - e^2)^(1/2))","B"
105,1,25,27,0.002361,"\text{Not used}","int(1/(r*(2*H*r^2 - 2*K*r^4 - a^2)^(1/2)),x)","\frac{x}{r\,\sqrt{-a^2-2\,K\,r^4+2\,H\,r^2}}","Not used",1,"x/(r*(2*H*r^2 - 2*K*r^4 - a^2)^(1/2))","B"
106,1,30,32,0.002380,"\text{Not used}","int(1/(r*(2*H*r^2 - 2*K*r^4 - a^2 - e^2)^(1/2)),x)","\frac{x}{r\,\sqrt{-a^2-e^2-2\,K\,r^4+2\,H\,r^2}}","Not used",1,"x/(r*(2*H*r^2 - 2*K*r^4 - a^2 - e^2)^(1/2))","B"
107,1,23,24,0.002232,"\text{Not used}","int(1/(r*(2*H*r^2 - 2*K*r - a^2)^(1/2)),x)","\frac{x}{r\,\sqrt{-a^2+2\,H\,r^2-2\,K\,r}}","Not used",1,"x/(r*(2*H*r^2 - 2*K*r - a^2)^(1/2))","B"
108,1,28,29,0.002376,"\text{Not used}","int(1/(r*(2*H*r^2 - 2*K*r - a^2 - e^2)^(1/2)),x)","\frac{x}{r\,\sqrt{-a^2-e^2+2\,H\,r^2-2\,K\,r}}","Not used",1,"x/(r*(2*H*r^2 - 2*K*r - a^2 - e^2)^(1/2))","B"
109,1,18,19,0.002197,"\text{Not used}","int(r/(2*r^2*exp(1) - a^2)^(1/2),x)","\frac{r\,x}{\sqrt{2\,r^2\,\mathrm{e}-a^2}}","Not used",1,"(r*x)/(2*r^2*exp(1) - a^2)^(1/2)","B"
110,1,23,24,0.003787,"\text{Not used}","int(r/(2*r^2*exp(1) - a^2 - e^2)^(1/2),x)","\frac{r\,x}{\sqrt{-a^2-e^2+2\,\mathrm{e}\,r^2}}","Not used",1,"(r*x)/(2*r^2*exp(1) - a^2 - e^2)^(1/2)","B"
111,1,24,25,0.002437,"\text{Not used}","int(r/(2*r^2*exp(1) - 2*K*r^4 - a^2)^(1/2),x)","\frac{r\,x}{\sqrt{-a^2-2\,K\,r^4+2\,\mathrm{e}\,r^2}}","Not used",1,"(r*x)/(2*r^2*exp(1) - 2*K*r^4 - a^2)^(1/2)","B"
112,1,29,30,0.002529,"\text{Not used}","int(r/(2*r^2*exp(1) - 2*K*r^4 - a^2 - e^2)^(1/2),x)","\frac{r\,x}{\sqrt{-a^2-e^2-2\,K\,r^4+2\,\mathrm{e}\,r^2}}","Not used",1,"(r*x)/(2*r^2*exp(1) - 2*K*r^4 - a^2 - e^2)^(1/2)","B"
113,1,26,27,0.002527,"\text{Not used}","int(r/(2*H*r^2 - 2*K*r - a^2 - e^2)^(1/2),x)","\frac{r\,x}{\sqrt{-a^2-e^2+2\,H\,r^2-2\,K\,r}}","Not used",1,"(r*x)/(2*H*r^2 - 2*K*r - a^2 - e^2)^(1/2)","B"