1,1,58,62,0.826795,"\text{Not used}","int(asin(1/(a*x^5))/x,x)","-\frac{\ln\left(1-{\mathrm{e}}^{\mathrm{asin}\left(\frac{1}{a\,x^5}\right)\,2{}\mathrm{i}}\right)\,\mathrm{asin}\left(\frac{1}{a\,x^5}\right)}{5}+\frac{\mathrm{polylog}\left(2,{\mathrm{e}}^{\mathrm{asin}\left(\frac{1}{a\,x^5}\right)\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{10}+\frac{{\mathrm{asin}\left(\frac{1}{a\,x^5}\right)}^2\,1{}\mathrm{i}}{10}","Not used",1,"(polylog(2, exp(asin(1/(a*x^5))*2i))*1i)/10 - (log(1 - exp(asin(1/(a*x^5))*2i))*asin(1/(a*x^5)))/5 + (asin(1/(a*x^5))^2*1i)/10","B"
2,0,-1,58,0.000000,"\text{Not used}","int(x^3*asin(1/x^(1/2)),x)","\int x^3\,\mathrm{asin}\left(\frac{1}{\sqrt{x}}\right) \,d x","Not used",1,"int(x^3*asin(1/x^(1/2)), x)","F"
3,0,-1,47,0.000000,"\text{Not used}","int(x^2*asin(1/x^(1/2)),x)","\int x^2\,\mathrm{asin}\left(\frac{1}{\sqrt{x}}\right) \,d x","Not used",1,"int(x^2*asin(1/x^(1/2)), x)","F"
4,0,-1,36,0.000000,"\text{Not used}","int(x*asin(1/x^(1/2)),x)","\int x\,\mathrm{asin}\left(\frac{1}{\sqrt{x}}\right) \,d x","Not used",1,"int(x*asin(1/x^(1/2)), x)","F"
5,1,20,16,1.056967,"\text{Not used}","int(asin(1/x^(1/2)),x)","x\,\mathrm{asin}\left(\frac{1}{\sqrt{x}}\right)+\sqrt{x}\,\sqrt{1-\frac{1}{x}}","Not used",1,"x*asin(1/x^(1/2)) + x^(1/2)*(1 - 1/x)^(1/2)","B"
6,1,42,56,0.847073,"\text{Not used}","int(asin(1/x^(1/2))/x,x)","\mathrm{polylog}\left(2,{\mathrm{e}}^{\mathrm{asin}\left(\frac{1}{\sqrt{x}}\right)\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}+{\mathrm{asin}\left(\frac{1}{\sqrt{x}}\right)}^2\,1{}\mathrm{i}-2\,\ln\left(1-{\mathrm{e}}^{\mathrm{asin}\left(\frac{1}{\sqrt{x}}\right)\,2{}\mathrm{i}}\right)\,\mathrm{asin}\left(\frac{1}{\sqrt{x}}\right)","Not used",1,"polylog(2, exp(asin(1/x^(1/2))*2i))*1i + asin(1/x^(1/2))^2*1i - 2*log(1 - exp(asin(1/x^(1/2))*2i))*asin(1/x^(1/2))","B"
7,1,28,38,0.689063,"\text{Not used}","int(asin(1/x^(1/2))/x^2,x)","-\frac{\sqrt{1-\frac{1}{x}}}{2\,\sqrt{x}}-\frac{\mathrm{asin}\left(\frac{1}{\sqrt{x}}\right)\,\left(\frac{2}{x}-1\right)}{2}","Not used",1,"- (1 - 1/x)^(1/2)/(2*x^(1/2)) - (asin(1/x^(1/2))*(2/x - 1))/2","B"
8,0,-1,54,0.000000,"\text{Not used}","int(asin(1/x^(1/2))/x^3,x)","\int \frac{\mathrm{asin}\left(\frac{1}{\sqrt{x}}\right)}{x^3} \,d x","Not used",1,"int(asin(1/x^(1/2))/x^3, x)","F"
9,0,-1,56,0.000000,"\text{Not used}","int(x^2*asin(x/a),x)","\left\{\begin{array}{cl} \frac{x^3\,\mathrm{asin}\left(\frac{x}{a}\right)}{3}+\frac{\sqrt{a^2-x^2}\,\left(2\,a^2+x^2\right)}{9} & \text{\ if\ \ }0<a\\ \int x^2\,\mathrm{asin}\left(\frac{x}{a}\right) \,d x & \text{\ if\ \ }\neg 0<a \end{array}\right.","Not used",1,"piecewise(0 < a, (x^3*asin(x/a))/3 + ((a^2 - x^2)^(1/2)*(2*a^2 + x^2))/9, ~0 < a, int(x^2*asin(x/a), x))","F"
10,1,38,47,0.611517,"\text{Not used}","int(x*asin(x/a),x)","\frac{a^2\,\mathrm{asin}\left(\frac{x}{a}\right)\,\left(\frac{2\,x^2}{a^2}-1\right)}{4}+\frac{a\,x\,\sqrt{1-\frac{x^2}{a^2}}}{4}","Not used",1,"(a^2*asin(x/a)*((2*x^2)/a^2 - 1))/4 + (a*x*(1 - x^2/a^2)^(1/2))/4","B"
11,1,23,25,0.098438,"\text{Not used}","int(asin(x/a),x)","a\,\sqrt{1-\frac{x^2}{a^2}}+x\,\mathrm{asin}\left(\frac{x}{a}\right)","Not used",1,"a*(1 - x^2/a^2)^(1/2) + x*asin(x/a)","B"
12,1,49,59,0.607684,"\text{Not used}","int(asin(x/a)/x,x)","-\frac{\mathrm{polylog}\left(2,{\mathrm{e}}^{\mathrm{asin}\left(\frac{x}{a}\right)\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{2}+\ln\left(1-{\mathrm{e}}^{\mathrm{asin}\left(\frac{x}{a}\right)\,2{}\mathrm{i}}\right)\,\mathrm{asin}\left(\frac{x}{a}\right)-\frac{{\mathrm{asin}\left(\frac{x}{a}\right)}^2\,1{}\mathrm{i}}{2}","Not used",1,"log(1 - exp(asin(x/a)*2i))*asin(x/a) - (polylog(2, exp(asin(x/a)*2i))*1i)/2 - (asin(x/a)^2*1i)/2","B"
13,1,30,32,0.590067,"\text{Not used}","int(asin(x/a)/x^2,x)","-\frac{\mathrm{asin}\left(\frac{x}{a}\right)}{x}-\frac{\mathrm{atanh}\left(\frac{1}{\sqrt{1-\frac{x^2}{a^2}}}\right)}{a}","Not used",1,"- asin(x/a)/x - atanh(1/(1 - x^2/a^2)^(1/2))/a","B"
14,0,-1,38,0.000000,"\text{Not used}","int(asin(x/a)/x^3,x)","\int \frac{\mathrm{asin}\left(\frac{x}{a}\right)}{x^3} \,d x","Not used",1,"int(asin(x/a)/x^3, x)","F"
15,0,-1,60,0.000000,"\text{Not used}","int(asin(x/a)/x^4,x)","\int \frac{\mathrm{asin}\left(\frac{x}{a}\right)}{x^4} \,d x","Not used",1,"int(asin(x/a)/x^4, x)","F"
16,0,-1,69,0.000000,"\text{Not used}","int(asin(1/(a*x^n))/x,x)","\int \frac{\mathrm{asin}\left(\frac{1}{a\,x^n}\right)}{x} \,d x","Not used",1,"int(asin(1/(a*x^n))/x, x)","F"
17,0,-1,197,0.000000,"\text{Not used}","int(x^4*asin(1/(a + b*x)),x)","\int x^4\,\mathrm{asin}\left(\frac{1}{a+b\,x}\right) \,d x","Not used",1,"int(x^4*asin(1/(a + b*x)), x)","F"
18,0,-1,155,0.000000,"\text{Not used}","int(x^3*asin(1/(a + b*x)),x)","\int x^3\,\mathrm{asin}\left(\frac{1}{a+b\,x}\right) \,d x","Not used",1,"int(x^3*asin(1/(a + b*x)), x)","F"
19,0,-1,116,0.000000,"\text{Not used}","int(x^2*asin(1/(a + b*x)),x)","\int x^2\,\mathrm{asin}\left(\frac{1}{a+b\,x}\right) \,d x","Not used",1,"int(x^2*asin(1/(a + b*x)), x)","F"
20,0,-1,79,0.000000,"\text{Not used}","int(x*asin(1/(a + b*x)),x)","\int x\,\mathrm{asin}\left(\frac{1}{a+b\,x}\right) \,d x","Not used",1,"int(x*asin(1/(a + b*x)), x)","F"
21,1,33,36,0.884459,"\text{Not used}","int(asin(1/(a + b*x)),x)","\frac{\mathrm{atanh}\left(\frac{1}{\sqrt{1-\frac{1}{{\left(a+b\,x\right)}^2}}}\right)+\mathrm{asin}\left(\frac{1}{a+b\,x}\right)\,\left(a+b\,x\right)}{b}","Not used",1,"(atanh(1/(1 - 1/(a + b*x)^2)^(1/2)) + asin(1/(a + b*x))*(a + b*x))/b","B"
22,0,-1,210,0.000000,"\text{Not used}","int(asin(1/(a + b*x))/x,x)","\int \frac{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}{x} \,d x","Not used",1,"int(asin(1/(a + b*x))/x, x)","F"
23,0,-1,69,0.000000,"\text{Not used}","int(asin(1/(a + b*x))/x^2,x)","\int \frac{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}{x^2} \,d x","Not used",1,"int(asin(1/(a + b*x))/x^2, x)","F"
24,0,-1,123,0.000000,"\text{Not used}","int(asin(1/(a + b*x))/x^3,x)","\int \frac{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}{x^3} \,d x","Not used",1,"int(asin(1/(a + b*x))/x^3, x)","F"
25,0,-1,180,0.000000,"\text{Not used}","int(asin(1/(a + b*x))/x^4,x)","\int \frac{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}{x^4} \,d x","Not used",1,"int(asin(1/(a + b*x))/x^4, x)","F"
26,0,-1,239,0.000000,"\text{Not used}","int(asin(1/(a + b*x))/x^5,x)","\int \frac{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}{x^5} \,d x","Not used",1,"int(asin(1/(a + b*x))/x^5, x)","F"
27,0,-1,366,0.000000,"\text{Not used}","int(x^3*asin(1/(a + b*x))^2,x)","\int x^3\,{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}^2 \,d x","Not used",1,"int(x^3*asin(1/(a + b*x))^2, x)","F"
28,0,-1,272,0.000000,"\text{Not used}","int(x^2*asin(1/(a + b*x))^2,x)","\int x^2\,{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}^2 \,d x","Not used",1,"int(x^2*asin(1/(a + b*x))^2, x)","F"
29,0,-1,145,0.000000,"\text{Not used}","int(x*asin(1/(a + b*x))^2,x)","\int x\,{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}^2 \,d x","Not used",1,"int(x*asin(1/(a + b*x))^2, x)","F"
30,0,-1,86,0.000000,"\text{Not used}","int(asin(1/(a + b*x))^2,x)","\int {\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}^2 \,d x","Not used",1,"int(asin(1/(a + b*x))^2, x)","F"
31,0,-1,324,0.000000,"\text{Not used}","int(asin(1/(a + b*x))^2/x,x)","\int \frac{{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}^2}{x} \,d x","Not used",1,"int(asin(1/(a + b*x))^2/x, x)","F"
32,0,-1,254,0.000000,"\text{Not used}","int(asin(1/(a + b*x))^2/x^2,x)","\int \frac{{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}^2}{x^2} \,d x","Not used",1,"int(asin(1/(a + b*x))^2/x^2, x)","F"
33,0,-1,464,0.000000,"\text{Not used}","int(x^2*asin(1/(a + b*x))^3,x)","\int x^2\,{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}^3 \,d x","Not used",1,"int(x^2*asin(1/(a + b*x))^3, x)","F"
34,0,-1,264,0.000000,"\text{Not used}","int(x*asin(1/(a + b*x))^3,x)","\int x\,{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}^3 \,d x","Not used",1,"int(x*asin(1/(a + b*x))^3, x)","F"
35,0,-1,140,0.000000,"\text{Not used}","int(asin(1/(a + b*x))^3,x)","\int {\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}^3 \,d x","Not used",1,"int(asin(1/(a + b*x))^3, x)","F"
36,0,-1,448,0.000000,"\text{Not used}","int(asin(1/(a + b*x))^3/x,x)","\int \frac{{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}^3}{x} \,d x","Not used",1,"int(asin(1/(a + b*x))^3/x, x)","F"
37,0,-1,378,0.000000,"\text{Not used}","int(asin(1/(a + b*x))^3/x^2,x)","\int \frac{{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}^3}{x^2} \,d x","Not used",1,"int(asin(1/(a + b*x))^3/x^2, x)","F"
38,1,44,48,1.034348,"\text{Not used}","int(x^3*asin(1/(a + b*x^4)),x)","\frac{\mathrm{atanh}\left(\frac{1}{\sqrt{1-\frac{1}{{\left(b\,x^4+a\right)}^2}}}\right)}{4\,b}+\frac{\mathrm{asin}\left(\frac{1}{b\,x^4+a}\right)\,\left(b\,x^4+a\right)}{4\,b}","Not used",1,"atanh(1/(1 - 1/(a + b*x^4)^2)^(1/2))/(4*b) + (asin(1/(a + b*x^4))*(a + b*x^4))/(4*b)","B"
39,1,42,48,0.725987,"\text{Not used}","int(x^(n - 1)*asin(1/(a + b*x^n)),x)","\frac{\mathrm{atanh}\left(\frac{1}{\sqrt{1-\frac{1}{{\left(a+b\,x^n\right)}^2}}}\right)+\mathrm{asin}\left(\frac{1}{a+b\,x^n}\right)\,\left(a+b\,x^n\right)}{b\,n}","Not used",1,"(atanh(1/(1 - 1/(a + b*x^n)^2)^(1/2)) + asin(1/(a + b*x^n))*(a + b*x^n))/(b*n)","B"
40,1,91,85,1.246685,"\text{Not used}","int(asin(exp(- a - b*x)/c),x)","\frac{\mathrm{polylog}\left(2,{\mathrm{e}}^{\mathrm{asin}\left(\frac{{\mathrm{e}}^{-a-b\,x}}{c}\right)\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{2\,b}+\frac{{\mathrm{asin}\left(\frac{{\mathrm{e}}^{-a-b\,x}}{c}\right)}^2\,1{}\mathrm{i}}{2\,b}-\frac{\ln\left(1-{\mathrm{e}}^{\mathrm{asin}\left(\frac{{\mathrm{e}}^{-a-b\,x}}{c}\right)\,2{}\mathrm{i}}\right)\,\mathrm{asin}\left(\frac{{\mathrm{e}}^{-a-b\,x}}{c}\right)}{b}","Not used",1,"(polylog(2, exp(asin(exp(- a - b*x)/c)*2i))*1i)/(2*b) + (asin(exp(- a - b*x)/c)^2*1i)/(2*b) - (log(1 - exp(asin(exp(- a - b*x)/c)*2i))*asin(exp(- a - b*x)/c))/b","B"
41,0,-1,95,0.000000,"\text{Not used}","int(x^2*exp(asin(1/(a*x))),x)","\int x^2\,{\mathrm{e}}^{\mathrm{asin}\left(\frac{1}{a\,x}\right)} \,d x","Not used",1,"int(x^2*exp(asin(1/(a*x))), x)","F"
42,0,-1,87,0.000000,"\text{Not used}","int(x*exp(asin(1/(a*x))),x)","\int x\,{\mathrm{e}}^{\mathrm{asin}\left(\frac{1}{a\,x}\right)} \,d x","Not used",1,"int(x*exp(asin(1/(a*x))), x)","F"
43,0,-1,87,0.000000,"\text{Not used}","int(exp(asin(1/(a*x))),x)","\int {\mathrm{e}}^{\mathrm{asin}\left(\frac{1}{a\,x}\right)} \,d x","Not used",1,"int(exp(asin(1/(a*x))), x)","F"
44,0,-1,43,0.000000,"\text{Not used}","int(exp(asin(1/(a*x)))/x,x)","\int \frac{{\mathrm{e}}^{\mathrm{asin}\left(\frac{1}{a\,x}\right)}}{x} \,d x","Not used",1,"int(exp(asin(1/(a*x)))/x, x)","F"
45,0,-1,39,0.000000,"\text{Not used}","int(exp(asin(1/(a*x)))/x^2,x)","\int \frac{{\mathrm{e}}^{\mathrm{asin}\left(\frac{1}{a\,x}\right)}}{x^2} \,d x","Not used",1,"int(exp(asin(1/(a*x)))/x^2, x)","F"
46,0,-1,41,0.000000,"\text{Not used}","int(exp(asin(1/(a*x)))/x^3,x)","\int \frac{{\mathrm{e}}^{\mathrm{asin}\left(\frac{1}{a\,x}\right)}}{x^3} \,d x","Not used",1,"int(exp(asin(1/(a*x)))/x^3, x)","F"
47,0,-1,84,0.000000,"\text{Not used}","int(exp(asin(1/(a*x)))/x^4,x)","\int \frac{{\mathrm{e}}^{\mathrm{asin}\left(\frac{1}{a\,x}\right)}}{x^4} \,d x","Not used",1,"int(exp(asin(1/(a*x)))/x^4, x)","F"
48,0,-1,81,0.000000,"\text{Not used}","int(exp(asin(1/(a*x)))/x^5,x)","\int \frac{{\mathrm{e}}^{\mathrm{asin}\left(\frac{1}{a\,x}\right)}}{x^5} \,d x","Not used",1,"int(exp(asin(1/(a*x)))/x^5, x)","F"
49,0,-1,69,0.000000,"\text{Not used}","int(asin(1/(a + b*x))/(d*x + (a*d)/b),x)","\int \frac{\mathrm{asin}\left(\frac{1}{a+b\,x}\right)}{d\,x+\frac{a\,d}{b}} \,d x","Not used",1,"int(asin(1/(a + b*x))/(d*x + (a*d)/b), x)","F"