1,1,71,0,0.827142," ","integrate(x^4*arcsin(a*x),x, algorithm=""maxima"")","\frac{1}{5} \, x^{5} \arcsin\left(a x\right) + \frac{1}{75} \, {\left(\frac{3 \, \sqrt{-a^{2} x^{2} + 1} x^{4}}{a^{2}} + \frac{4 \, \sqrt{-a^{2} x^{2} + 1} x^{2}}{a^{4}} + \frac{8 \, \sqrt{-a^{2} x^{2} + 1}}{a^{6}}\right)} a"," ",0,"1/5*x^5*arcsin(a*x) + 1/75*(3*sqrt(-a^2*x^2 + 1)*x^4/a^2 + 4*sqrt(-a^2*x^2 + 1)*x^2/a^4 + 8*sqrt(-a^2*x^2 + 1)/a^6)*a","A",0
2,1,61,0,0.466290," ","integrate(x^3*arcsin(a*x),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} \arcsin\left(a x\right) + \frac{1}{32} \, {\left(\frac{2 \, \sqrt{-a^{2} x^{2} + 1} x^{3}}{a^{2}} + \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x}{a^{4}} - \frac{3 \, \arcsin\left(a x\right)}{a^{5}}\right)} a"," ",0,"1/4*x^4*arcsin(a*x) + 1/32*(2*sqrt(-a^2*x^2 + 1)*x^3/a^2 + 3*sqrt(-a^2*x^2 + 1)*x/a^4 - 3*arcsin(a*x)/a^5)*a","A",0
3,1,50,0,0.478930," ","integrate(x^2*arcsin(a*x),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \arcsin\left(a x\right) + \frac{1}{9} \, a {\left(\frac{\sqrt{-a^{2} x^{2} + 1} x^{2}}{a^{2}} + \frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{a^{4}}\right)}"," ",0,"1/3*x^3*arcsin(a*x) + 1/9*a*(sqrt(-a^2*x^2 + 1)*x^2/a^2 + 2*sqrt(-a^2*x^2 + 1)/a^4)","A",0
4,1,40,0,0.421112," ","integrate(x*arcsin(a*x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \arcsin\left(a x\right) + \frac{1}{4} \, a {\left(\frac{\sqrt{-a^{2} x^{2} + 1} x}{a^{2}} - \frac{\arcsin\left(a x\right)}{a^{3}}\right)}"," ",0,"1/2*x^2*arcsin(a*x) + 1/4*a*(sqrt(-a^2*x^2 + 1)*x/a^2 - arcsin(a*x)/a^3)","A",0
5,1,24,0,0.416898," ","integrate(arcsin(a*x),x, algorithm=""maxima"")","\frac{a x \arcsin\left(a x\right) + \sqrt{-a^{2} x^{2} + 1}}{a}"," ",0,"(a*x*arcsin(a*x) + sqrt(-a^2*x^2 + 1))/a","A",0
6,0,0,0,0.000000," ","integrate(arcsin(a*x)/x,x, algorithm=""maxima"")","\int \frac{\arcsin\left(a x\right)}{x}\,{d x}"," ",0,"integrate(arcsin(a*x)/x, x)","F",0
7,1,39,0,0.401253," ","integrate(arcsin(a*x)/x^2,x, algorithm=""maxima"")","-a \log\left(\frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right) - \frac{\arcsin\left(a x\right)}{x}"," ",0,"-a*log(2*sqrt(-a^2*x^2 + 1)/abs(x) + 2/abs(x)) - arcsin(a*x)/x","A",0
8,1,28,0,0.404625," ","integrate(arcsin(a*x)/x^3,x, algorithm=""maxima"")","-\frac{\sqrt{-a^{2} x^{2} + 1} a}{2 \, x} - \frac{\arcsin\left(a x\right)}{2 \, x^{2}}"," ",0,"-1/2*sqrt(-a^2*x^2 + 1)*a/x - 1/2*arcsin(a*x)/x^2","A",0
9,1,60,0,0.415634," ","integrate(arcsin(a*x)/x^4,x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(a^{2} \log\left(\frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right) + \frac{\sqrt{-a^{2} x^{2} + 1}}{x^{2}}\right)} a - \frac{\arcsin\left(a x\right)}{3 \, x^{3}}"," ",0,"-1/6*(a^2*log(2*sqrt(-a^2*x^2 + 1)/abs(x) + 2/abs(x)) + sqrt(-a^2*x^2 + 1)/x^2)*a - 1/3*arcsin(a*x)/x^3","A",0
10,1,50,0,0.434604," ","integrate(arcsin(a*x)/x^5,x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(\frac{2 \, \sqrt{-a^{2} x^{2} + 1} a^{2}}{x} + \frac{\sqrt{-a^{2} x^{2} + 1}}{x^{3}}\right)} a - \frac{\arcsin\left(a x\right)}{4 \, x^{4}}"," ",0,"-1/12*(2*sqrt(-a^2*x^2 + 1)*a^2/x + sqrt(-a^2*x^2 + 1)/x^3)*a - 1/4*arcsin(a*x)/x^4","A",0
11,1,82,0,0.417398," ","integrate(arcsin(a*x)/x^6,x, algorithm=""maxima"")","-\frac{1}{40} \, {\left(3 \, a^{4} \log\left(\frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right) + \frac{3 \, \sqrt{-a^{2} x^{2} + 1} a^{2}}{x^{2}} + \frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{x^{4}}\right)} a - \frac{\arcsin\left(a x\right)}{5 \, x^{5}}"," ",0,"-1/40*(3*a^4*log(2*sqrt(-a^2*x^2 + 1)/abs(x) + 2/abs(x)) + 3*sqrt(-a^2*x^2 + 1)*a^2/x^2 + 2*sqrt(-a^2*x^2 + 1)/x^4)*a - 1/5*arcsin(a*x)/x^5","A",0
12,1,102,0,0.568630," ","integrate(x^4*arcsin(a*x)^2,x, algorithm=""maxima"")","\frac{1}{5} \, x^{5} \arcsin\left(a x\right)^{2} + \frac{2}{75} \, {\left(\frac{3 \, \sqrt{-a^{2} x^{2} + 1} x^{4}}{a^{2}} + \frac{4 \, \sqrt{-a^{2} x^{2} + 1} x^{2}}{a^{4}} + \frac{8 \, \sqrt{-a^{2} x^{2} + 1}}{a^{6}}\right)} a \arcsin\left(a x\right) - \frac{2 \, {\left(9 \, a^{4} x^{5} + 20 \, a^{2} x^{3} + 120 \, x\right)}}{1125 \, a^{4}}"," ",0,"1/5*x^5*arcsin(a*x)^2 + 2/75*(3*sqrt(-a^2*x^2 + 1)*x^4/a^2 + 4*sqrt(-a^2*x^2 + 1)*x^2/a^4 + 8*sqrt(-a^2*x^2 + 1)/a^6)*a*arcsin(a*x) - 2/1125*(9*a^4*x^5 + 20*a^2*x^3 + 120*x)/a^4","A",0
13,0,0,0,0.000000," ","integrate(x^3*arcsin(a*x)^2,x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} + a \int \frac{\sqrt{a x + 1} \sqrt{-a x + 1} x^{4} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{2 \, {\left(a^{2} x^{2} - 1\right)}}\,{d x}"," ",0,"1/4*x^4*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2 + a*integrate(1/2*sqrt(a*x + 1)*sqrt(-a*x + 1)*x^4*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))/(a^2*x^2 - 1), x)","F",0
14,1,72,0,0.794238," ","integrate(x^2*arcsin(a*x)^2,x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \arcsin\left(a x\right)^{2} + \frac{2}{9} \, a {\left(\frac{\sqrt{-a^{2} x^{2} + 1} x^{2}}{a^{2}} + \frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{a^{4}}\right)} \arcsin\left(a x\right) - \frac{2 \, {\left(a^{2} x^{3} + 6 \, x\right)}}{27 \, a^{2}}"," ",0,"1/3*x^3*arcsin(a*x)^2 + 2/9*a*(sqrt(-a^2*x^2 + 1)*x^2/a^2 + 2*sqrt(-a^2*x^2 + 1)/a^4)*arcsin(a*x) - 2/27*(a^2*x^3 + 6*x)/a^2","A",0
15,0,0,0,0.000000," ","integrate(x*arcsin(a*x)^2,x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} + a \int \frac{\sqrt{a x + 1} \sqrt{-a x + 1} x^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{a^{2} x^{2} - 1}\,{d x}"," ",0,"1/2*x^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2 + a*integrate(sqrt(a*x + 1)*sqrt(-a*x + 1)*x^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))/(a^2*x^2 - 1), x)","F",0
16,1,33,0,0.706346," ","integrate(arcsin(a*x)^2,x, algorithm=""maxima"")","x \arcsin\left(a x\right)^{2} - 2 \, x + \frac{2 \, \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)}{a}"," ",0,"x*arcsin(a*x)^2 - 2*x + 2*sqrt(-a^2*x^2 + 1)*arcsin(a*x)/a","A",0
17,0,0,0,0.000000," ","integrate(arcsin(a*x)^2/x,x, algorithm=""maxima"")","\int \frac{\arcsin\left(a x\right)^{2}}{x}\,{d x}"," ",0,"integrate(arcsin(a*x)^2/x, x)","F",0
18,0,0,0,0.000000," ","integrate(arcsin(a*x)^2/x^2,x, algorithm=""maxima"")","-\frac{2 \, a x \int \frac{\sqrt{-a x + 1} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{\sqrt{a x + 1} {\left(a x - 1\right)} x}\,{d x} + \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}}{x}"," ",0,"-(2*a*x*integrate(sqrt(a*x + 1)*sqrt(-a*x + 1)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))/(a^2*x^3 - x), x) + arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2)/x","F",0
19,1,40,0,0.531871," ","integrate(arcsin(a*x)^2/x^3,x, algorithm=""maxima"")","a^{2} \log\left(x\right) - \frac{\sqrt{-a^{2} x^{2} + 1} a \arcsin\left(a x\right)}{x} - \frac{\arcsin\left(a x\right)^{2}}{2 \, x^{2}}"," ",0,"a^2*log(x) - sqrt(-a^2*x^2 + 1)*a*arcsin(a*x)/x - 1/2*arcsin(a*x)^2/x^2","A",0
20,0,0,0,0.000000," ","integrate(arcsin(a*x)^2/x^4,x, algorithm=""maxima"")","-\frac{2 \, a x^{3} \int \frac{\sqrt{a x + 1} \sqrt{-a x + 1} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{a^{2} x^{5} - x^{3}}\,{d x} + \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}}{3 \, x^{3}}"," ",0,"-1/3*(6*a*x^3*integrate(1/3*sqrt(a*x + 1)*sqrt(-a*x + 1)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))/(a^2*x^5 - x^3), x) + arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2)/x^3","F",0
21,1,74,0,0.492659," ","integrate(arcsin(a*x)^2/x^5,x, algorithm=""maxima"")","\frac{1}{12} \, {\left(4 \, a^{2} \log\left(x\right) - \frac{1}{x^{2}}\right)} a^{2} - \frac{1}{6} \, {\left(\frac{2 \, \sqrt{-a^{2} x^{2} + 1} a^{2}}{x} + \frac{\sqrt{-a^{2} x^{2} + 1}}{x^{3}}\right)} a \arcsin\left(a x\right) - \frac{\arcsin\left(a x\right)^{2}}{4 \, x^{4}}"," ",0,"1/12*(4*a^2*log(x) - 1/x^2)*a^2 - 1/6*(2*sqrt(-a^2*x^2 + 1)*a^2/x + sqrt(-a^2*x^2 + 1)/x^3)*a*arcsin(a*x) - 1/4*arcsin(a*x)^2/x^4","A",0
22,1,171,0,0.517526," ","integrate(x^4*arcsin(a*x)^3,x, algorithm=""maxima"")","\frac{1}{5} \, x^{5} \arcsin\left(a x\right)^{3} + \frac{1}{25} \, {\left(\frac{3 \, \sqrt{-a^{2} x^{2} + 1} x^{4}}{a^{2}} + \frac{4 \, \sqrt{-a^{2} x^{2} + 1} x^{2}}{a^{4}} + \frac{8 \, \sqrt{-a^{2} x^{2} + 1}}{a^{6}}\right)} a \arcsin\left(a x\right)^{2} - \frac{2}{5625} \, a {\left(\frac{27 \, \sqrt{-a^{2} x^{2} + 1} a^{2} x^{4} + 136 \, \sqrt{-a^{2} x^{2} + 1} x^{2} + \frac{2072 \, \sqrt{-a^{2} x^{2} + 1}}{a^{2}}}{a^{4}} + \frac{15 \, {\left(9 \, a^{4} x^{5} + 20 \, a^{2} x^{3} + 120 \, x\right)} \arcsin\left(a x\right)}{a^{5}}\right)}"," ",0,"1/5*x^5*arcsin(a*x)^3 + 1/25*(3*sqrt(-a^2*x^2 + 1)*x^4/a^2 + 4*sqrt(-a^2*x^2 + 1)*x^2/a^4 + 8*sqrt(-a^2*x^2 + 1)/a^6)*a*arcsin(a*x)^2 - 2/5625*a*((27*sqrt(-a^2*x^2 + 1)*a^2*x^4 + 136*sqrt(-a^2*x^2 + 1)*x^2 + 2072*sqrt(-a^2*x^2 + 1)/a^2)/a^4 + 15*(9*a^4*x^5 + 20*a^2*x^3 + 120*x)*arcsin(a*x)/a^5)","A",0
23,0,0,0,0.000000," ","integrate(x^3*arcsin(a*x)^3,x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3} + 3 \, a \int \frac{\sqrt{a x + 1} \sqrt{-a x + 1} x^{4} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}}{4 \, {\left(a^{2} x^{2} - 1\right)}}\,{d x}"," ",0,"1/4*x^4*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3 + 3*a*integrate(1/4*sqrt(a*x + 1)*sqrt(-a*x + 1)*x^4*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2/(a^2*x^2 - 1), x)","F",0
24,1,120,0,0.519912," ","integrate(x^2*arcsin(a*x)^3,x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \arcsin\left(a x\right)^{3} + \frac{1}{3} \, a {\left(\frac{\sqrt{-a^{2} x^{2} + 1} x^{2}}{a^{2}} + \frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{a^{4}}\right)} \arcsin\left(a x\right)^{2} - \frac{2}{27} \, a {\left(\frac{\sqrt{-a^{2} x^{2} + 1} x^{2} + \frac{20 \, \sqrt{-a^{2} x^{2} + 1}}{a^{2}}}{a^{2}} + \frac{3 \, {\left(a^{2} x^{3} + 6 \, x\right)} \arcsin\left(a x\right)}{a^{3}}\right)}"," ",0,"1/3*x^3*arcsin(a*x)^3 + 1/3*a*(sqrt(-a^2*x^2 + 1)*x^2/a^2 + 2*sqrt(-a^2*x^2 + 1)/a^4)*arcsin(a*x)^2 - 2/27*a*((sqrt(-a^2*x^2 + 1)*x^2 + 20*sqrt(-a^2*x^2 + 1)/a^2)/a^2 + 3*(a^2*x^3 + 6*x)*arcsin(a*x)/a^3)","A",0
25,0,0,0,0.000000," ","integrate(x*arcsin(a*x)^3,x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3} + 3 \, a \int \frac{\sqrt{a x + 1} \sqrt{-a x + 1} x^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}}{2 \, {\left(a^{2} x^{2} - 1\right)}}\,{d x}"," ",0,"1/2*x^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3 + 3*a*integrate(1/2*sqrt(a*x + 1)*sqrt(-a*x + 1)*x^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2/(a^2*x^2 - 1), x)","F",0
26,1,57,0,0.540175," ","integrate(arcsin(a*x)^3,x, algorithm=""maxima"")","x \arcsin\left(a x\right)^{3} + \frac{3 \, \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)^{2}}{a} - \frac{6 \, {\left(a x \arcsin\left(a x\right) + \sqrt{-a^{2} x^{2} + 1}\right)}}{a}"," ",0,"x*arcsin(a*x)^3 + 3*sqrt(-a^2*x^2 + 1)*arcsin(a*x)^2/a - 6*(a*x*arcsin(a*x) + sqrt(-a^2*x^2 + 1))/a","A",0
27,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/x,x, algorithm=""maxima"")","\int \frac{\arcsin\left(a x\right)^{3}}{x}\,{d x}"," ",0,"integrate(arcsin(a*x)^3/x, x)","F",0
28,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/x^2,x, algorithm=""maxima"")","-\frac{\arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3} + 3 \, a x \int \frac{\sqrt{-a x + 1} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}}{\sqrt{a x + 1} {\left(a x - 1\right)} x}\,{d x}}{x}"," ",0,"-(arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3 + 3*a*x*integrate(sqrt(a*x + 1)*sqrt(-a*x + 1)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2/(a^2*x^3 - x), x))/x","F",0
29,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/x^3,x, algorithm=""maxima"")","-\frac{\frac{3}{4} \, {\left(\sqrt{a x + 1} \sqrt{-a x + 1} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} + 4 \, x \int \frac{3 \, \sqrt{a x + 1} \sqrt{-a x + 1} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} - 2 \, {\left(a^{3} x^{3} - a x\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{4 \, {\left(a^{2} x^{4} - x^{2}\right)}}\,{d x}\right)} a x + \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}{2 \, x^{2}}"," ",0,"-1/2*(6*a*x^2*integrate(1/2*sqrt(a*x + 1)*sqrt(-a*x + 1)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2/(a^2*x^4 - x^2), x) + arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3)/x^2","F",0
30,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/x^4,x, algorithm=""maxima"")","-\frac{3 \, a x^{3} \int \frac{\sqrt{-a x + 1} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}}{\sqrt{a x + 1} {\left(a x - 1\right)} x^{3}}\,{d x} + \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}{3 \, x^{3}}"," ",0,"-1/3*(3*a*x^3*integrate(sqrt(a*x + 1)*sqrt(-a*x + 1)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2/(a^2*x^5 - x^3), x) + arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3)/x^3","F",0
31,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/x^5,x, algorithm=""maxima"")","-\frac{\frac{1}{4} \, {\left({\left(2 \, a^{2} x^{2} + 1\right)} \sqrt{a x + 1} \sqrt{-a x + 1} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} + 12 \, x^{3} \int \frac{9 \, \sqrt{a x + 1} \sqrt{-a x + 1} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} - 2 \, {\left(2 \, a^{5} x^{5} - a^{3} x^{3} - a x\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{12 \, {\left(a^{2} x^{6} - x^{4}\right)}}\,{d x}\right)} a x + \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}{4 \, x^{4}}"," ",0,"-1/4*(12*a*x^4*integrate(1/4*sqrt(a*x + 1)*sqrt(-a*x + 1)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2/(a^2*x^6 - x^4), x) + arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3)/x^4","F",0
32,0,0,0,0.000000," ","integrate(x^5*arcsin(a*x)^4,x, algorithm=""maxima"")","\frac{1}{6} \, x^{6} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{4} + 2 \, a \int \frac{\sqrt{a x + 1} \sqrt{-a x + 1} x^{6} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}{3 \, {\left(a^{2} x^{2} - 1\right)}}\,{d x}"," ",0,"1/6*x^6*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^4 + 2*a*integrate(1/3*sqrt(a*x + 1)*sqrt(-a*x + 1)*x^6*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3/(a^2*x^2 - 1), x)","F",0
33,1,207,0,0.457330," ","integrate(x^4*arcsin(a*x)^4,x, algorithm=""maxima"")","\frac{1}{5} \, x^{5} \arcsin\left(a x\right)^{4} + \frac{4}{75} \, {\left(\frac{3 \, \sqrt{-a^{2} x^{2} + 1} x^{4}}{a^{2}} + \frac{4 \, \sqrt{-a^{2} x^{2} + 1} x^{2}}{a^{4}} + \frac{8 \, \sqrt{-a^{2} x^{2} + 1}}{a^{6}}\right)} a \arcsin\left(a x\right)^{3} - \frac{4}{84375} \, {\left(2 \, a {\left(\frac{15 \, {\left(27 \, \sqrt{-a^{2} x^{2} + 1} a^{2} x^{4} + 136 \, \sqrt{-a^{2} x^{2} + 1} x^{2} + \frac{2072 \, \sqrt{-a^{2} x^{2} + 1}}{a^{2}}\right)} \arcsin\left(a x\right)}{a^{5}} - \frac{81 \, a^{4} x^{5} + 680 \, a^{2} x^{3} + 31080 \, x}{a^{6}}\right)} + \frac{225 \, {\left(9 \, a^{4} x^{5} + 20 \, a^{2} x^{3} + 120 \, x\right)} \arcsin\left(a x\right)^{2}}{a^{5}}\right)} a"," ",0,"1/5*x^5*arcsin(a*x)^4 + 4/75*(3*sqrt(-a^2*x^2 + 1)*x^4/a^2 + 4*sqrt(-a^2*x^2 + 1)*x^2/a^4 + 8*sqrt(-a^2*x^2 + 1)/a^6)*a*arcsin(a*x)^3 - 4/84375*(2*a*(15*(27*sqrt(-a^2*x^2 + 1)*a^2*x^4 + 136*sqrt(-a^2*x^2 + 1)*x^2 + 2072*sqrt(-a^2*x^2 + 1)/a^2)*arcsin(a*x)/a^5 - (81*a^4*x^5 + 680*a^2*x^3 + 31080*x)/a^6) + 225*(9*a^4*x^5 + 20*a^2*x^3 + 120*x)*arcsin(a*x)^2/a^5)*a","A",0
34,0,0,0,0.000000," ","integrate(x^3*arcsin(a*x)^4,x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{4} + a \int \frac{\sqrt{a x + 1} \sqrt{-a x + 1} x^{4} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}{a^{2} x^{2} - 1}\,{d x}"," ",0,"1/4*x^4*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^4 + a*integrate(sqrt(a*x + 1)*sqrt(-a*x + 1)*x^4*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3/(a^2*x^2 - 1), x)","F",0
35,1,147,0,0.508887," ","integrate(x^2*arcsin(a*x)^4,x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \arcsin\left(a x\right)^{4} + \frac{4}{9} \, a {\left(\frac{\sqrt{-a^{2} x^{2} + 1} x^{2}}{a^{2}} + \frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{a^{4}}\right)} \arcsin\left(a x\right)^{3} - \frac{4}{81} \, {\left(2 \, a {\left(\frac{3 \, {\left(\sqrt{-a^{2} x^{2} + 1} x^{2} + \frac{20 \, \sqrt{-a^{2} x^{2} + 1}}{a^{2}}\right)} \arcsin\left(a x\right)}{a^{3}} - \frac{a^{2} x^{3} + 60 \, x}{a^{4}}\right)} + \frac{9 \, {\left(a^{2} x^{3} + 6 \, x\right)} \arcsin\left(a x\right)^{2}}{a^{3}}\right)} a"," ",0,"1/3*x^3*arcsin(a*x)^4 + 4/9*a*(sqrt(-a^2*x^2 + 1)*x^2/a^2 + 2*sqrt(-a^2*x^2 + 1)/a^4)*arcsin(a*x)^3 - 4/81*(2*a*(3*(sqrt(-a^2*x^2 + 1)*x^2 + 20*sqrt(-a^2*x^2 + 1)/a^2)*arcsin(a*x)/a^3 - (a^2*x^3 + 60*x)/a^4) + 9*(a^2*x^3 + 6*x)*arcsin(a*x)^2/a^3)*a","A",0
36,0,0,0,0.000000," ","integrate(x*arcsin(a*x)^4,x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{4} + 2 \, a \int \frac{\sqrt{a x + 1} \sqrt{-a x + 1} x^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}{a^{2} x^{2} - 1}\,{d x}"," ",0,"1/2*x^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^4 + 2*a*integrate(sqrt(a*x + 1)*sqrt(-a*x + 1)*x^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3/(a^2*x^2 - 1), x)","F",0
37,1,75,0,0.539694," ","integrate(arcsin(a*x)^4,x, algorithm=""maxima"")","x \arcsin\left(a x\right)^{4} + \frac{4 \, \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)^{3}}{a} - 12 \, {\left(\frac{x \arcsin\left(a x\right)^{2}}{a} - \frac{2 \, {\left(x - \frac{\sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)}{a}\right)}}{a}\right)} a"," ",0,"x*arcsin(a*x)^4 + 4*sqrt(-a^2*x^2 + 1)*arcsin(a*x)^3/a - 12*(x*arcsin(a*x)^2/a - 2*(x - sqrt(-a^2*x^2 + 1)*arcsin(a*x)/a)/a)*a","A",0
38,0,0,0,0.000000," ","integrate(arcsin(a*x)^4/x,x, algorithm=""maxima"")","\int \frac{\arcsin\left(a x\right)^{4}}{x}\,{d x}"," ",0,"integrate(arcsin(a*x)^4/x, x)","F",0
39,0,0,0,0.000000," ","integrate(arcsin(a*x)^4/x^2,x, algorithm=""maxima"")","-\frac{\arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{4} + 4 \, a x \int \frac{\sqrt{-a x + 1} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}{\sqrt{a x + 1} {\left(a x - 1\right)} x}\,{d x}}{x}"," ",0,"-(arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^4 + 4*a*x*integrate(sqrt(a*x + 1)*sqrt(-a*x + 1)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3/(a^2*x^3 - x), x))/x","F",0
40,0,0,0,0.000000," ","integrate(arcsin(a*x)^4/x^3,x, algorithm=""maxima"")","-\frac{\arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{4} + \frac{1}{2} \, {\left(\sqrt{a x + 1} \sqrt{-a x + 1} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3} + 8 \, x \int \frac{7 \, \sqrt{a x + 1} \sqrt{-a x + 1} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3} - 3 \, {\left(a^{3} x^{3} - a x\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}}{8 \, {\left(a^{2} x^{4} - x^{2}\right)}}\,{d x}\right)} a x}{2 \, x^{2}}"," ",0,"-1/2*(arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^4 + 4*a*x^2*integrate(sqrt(a*x + 1)*sqrt(-a*x + 1)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3/(a^2*x^4 - x^2), x))/x^2","F",0
41,0,0,0,0.000000," ","integrate(arcsin(a*x)^4/x^4,x, algorithm=""maxima"")","-\frac{4 \, a x^{3} \int \frac{\sqrt{a x + 1} \sqrt{-a x + 1} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}{a^{2} x^{5} - x^{3}}\,{d x} + \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{4}}{3 \, x^{3}}"," ",0,"-1/3*(12*a*x^3*integrate(1/3*sqrt(a*x + 1)*sqrt(-a*x + 1)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3/(a^2*x^5 - x^3), x) + arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^4)/x^3","F",0
42,0,0,0,0.000000," ","integrate(x^6/arcsin(a*x),x, algorithm=""maxima"")","\int \frac{x^{6}}{\arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(x^6/arcsin(a*x), x)","F",0
43,0,0,0,0.000000," ","integrate(x^5/arcsin(a*x),x, algorithm=""maxima"")","\int \frac{x^{5}}{\arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(x^5/arcsin(a*x), x)","F",0
44,0,0,0,0.000000," ","integrate(x^4/arcsin(a*x),x, algorithm=""maxima"")","\int \frac{x^{4}}{\arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(x^4/arcsin(a*x), x)","F",0
45,0,0,0,0.000000," ","integrate(x^3/arcsin(a*x),x, algorithm=""maxima"")","\int \frac{x^{3}}{\arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(x^3/arcsin(a*x), x)","F",0
46,0,0,0,0.000000," ","integrate(x^2/arcsin(a*x),x, algorithm=""maxima"")","\int \frac{x^{2}}{\arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(x^2/arcsin(a*x), x)","F",0
47,0,0,0,0.000000," ","integrate(x/arcsin(a*x),x, algorithm=""maxima"")","\int \frac{x}{\arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(x/arcsin(a*x), x)","F",0
48,0,0,0,0.000000," ","integrate(1/arcsin(a*x),x, algorithm=""maxima"")","\int \frac{1}{\arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(1/arcsin(a*x), x)","F",0
49,0,0,0,0.000000," ","integrate(1/x/arcsin(a*x),x, algorithm=""maxima"")","\int \frac{1}{x \arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(1/(x*arcsin(a*x)), x)","F",0
50,0,0,0,0.000000," ","integrate(1/x^2/arcsin(a*x),x, algorithm=""maxima"")","\int \frac{1}{x^{2} \arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(1/(x^2*arcsin(a*x)), x)","F",0
51,-1,0,0,0.000000," ","integrate(x^6/arcsin(a*x)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,-1,0,0,0.000000," ","integrate(x^5/arcsin(a*x)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
53,-1,0,0,0.000000," ","integrate(x^4/arcsin(a*x)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
54,-1,0,0,0.000000," ","integrate(x^3/arcsin(a*x)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
55,-1,0,0,0.000000," ","integrate(x^2/arcsin(a*x)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,0,0,0,0.000000," ","integrate(x/arcsin(a*x)^2,x, algorithm=""maxima"")","\frac{-\sqrt{a x + 1} \sqrt{-a x + 1} x + {\left(\int \frac{2 \, \sqrt{-a x + 1} a^{2} x^{2}}{\sqrt{a x + 1} a x \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right) - \sqrt{a x + 1} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} + \int -\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1} a x \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right) - \sqrt{a x + 1} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x}\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{a \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}"," ",0,"(a*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))*integrate((2*a^2*x^2 - 1)*sqrt(a*x + 1)*sqrt(-a*x + 1)/((a^3*x^2 - a)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))), x) - sqrt(a*x + 1)*sqrt(-a*x + 1)*x)/(a*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))","F",0
57,0,0,0,0.000000," ","integrate(1/arcsin(a*x)^2,x, algorithm=""maxima"")","\frac{a^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right) \int \frac{\sqrt{-a x + 1} x}{\sqrt{a x + 1} {\left(a x - 1\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} - \sqrt{a x + 1} \sqrt{-a x + 1}}{a \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}"," ",0,"(a^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))*integrate(sqrt(a*x + 1)*sqrt(-a*x + 1)*x/((a^2*x^2 - 1)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))), x) - sqrt(a*x + 1)*sqrt(-a*x + 1))/(a*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))","F",0
58,0,0,0,0.000000," ","integrate(1/x/arcsin(a*x)^2,x, algorithm=""maxima"")","\frac{x \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right) \int \frac{\sqrt{-a x + 1}}{\sqrt{a x + 1} a x^{3} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right) - \sqrt{a x + 1} x^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} - \sqrt{a x + 1} \sqrt{-a x + 1}}{a x \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}"," ",0,"(a*x*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))*integrate(sqrt(a*x + 1)*sqrt(-a*x + 1)/((a^3*x^4 - a*x^2)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))), x) - sqrt(a*x + 1)*sqrt(-a*x + 1))/(a*x*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))","F",0
59,-1,0,0,0.000000," ","integrate(1/x^2/arcsin(a*x)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
60,0,0,0,0.000000," ","integrate(x^4/arcsin(a*x)^3,x, algorithm=""maxima"")","-\frac{\sqrt{a x + 1} \sqrt{-a x + 1} a x^{4} + \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} \int \frac{{\left(25 \, a^{2} x^{2} - 12\right)} x^{2}}{\arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} - {\left(5 \, a^{2} x^{5} - 4 \, x^{3}\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{2 \, a^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}}"," ",0,"-1/2*(sqrt(a*x + 1)*sqrt(-a*x + 1)*a*x^4 + arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2*integrate((25*a^2*x^4 - 12*x^2)/arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)), x) - (5*a^2*x^5 - 4*x^3)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))/(a^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2)","F",0
61,0,0,0,0.000000," ","integrate(x^3/arcsin(a*x)^3,x, algorithm=""maxima"")","-\frac{\sqrt{a x + 1} \sqrt{-a x + 1} a x^{3} + 2 \, \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} \int \frac{{\left(8 \, a^{2} x^{2} - 3\right)} x}{\arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} - {\left(4 \, a^{2} x^{4} - 3 \, x^{2}\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{2 \, a^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}}"," ",0,"-1/2*(sqrt(a*x + 1)*sqrt(-a*x + 1)*a*x^3 + 2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2*integrate((8*a^2*x^3 - 3*x)/arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)), x) - (4*a^2*x^4 - 3*x^2)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))/(a^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2)","F",0
62,0,0,0,0.000000," ","integrate(x^2/arcsin(a*x)^3,x, algorithm=""maxima"")","-\frac{\sqrt{a x + 1} \sqrt{-a x + 1} a x^{2} + \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} \int \frac{9 \, a^{2} x^{2} - 2}{\arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} - {\left(3 \, a^{2} x^{3} - 2 \, x\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{2 \, a^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}}"," ",0,"-1/2*(sqrt(a*x + 1)*sqrt(-a*x + 1)*a*x^2 + arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2*integrate((9*a^2*x^2 - 2)/arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)), x) - (3*a^2*x^3 - 2*x)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))/(a^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2)","F",0
63,0,0,0,0.000000," ","integrate(x/arcsin(a*x)^3,x, algorithm=""maxima"")","-\frac{4 \, a^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} \int \frac{x}{\arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} + \sqrt{a x + 1} \sqrt{-a x + 1} a x - {\left(2 \, a^{2} x^{2} - 1\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{2 \, a^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}}"," ",0,"-1/2*(4*a^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2*integrate(x/arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)), x) + sqrt(a*x + 1)*sqrt(-a*x + 1)*a*x - (2*a^2*x^2 - 1)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))/(a^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2)","F",0
64,0,0,0,0.000000," ","integrate(1/arcsin(a*x)^3,x, algorithm=""maxima"")","-\frac{a \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} \int \frac{1}{\arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} - a x \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right) + \sqrt{a x + 1} \sqrt{-a x + 1}}{2 \, a \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}}"," ",0,"-1/2*(a*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2*integrate(1/arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)), x) - a*x*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)) + sqrt(a*x + 1)*sqrt(-a*x + 1))/(a*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2)","F",0
65,0,0,0,0.000000," ","integrate(1/x/arcsin(a*x)^3,x, algorithm=""maxima"")","\frac{2 \, x^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} \int \frac{1}{x^{3} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} - \sqrt{a x + 1} \sqrt{-a x + 1} a x + \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{2 \, a^{2} x^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}}"," ",0,"1/2*(2*x^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2*integrate(1/(x^3*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))), x) - sqrt(a*x + 1)*sqrt(-a*x + 1)*a*x + arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))/(a^2*x^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2)","F",0
66,0,0,0,0.000000," ","integrate(1/x^2/arcsin(a*x)^3,x, algorithm=""maxima"")","-\frac{x^{3} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} \int \frac{a^{2} x^{2} - 6}{x^{4} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} + \sqrt{a x + 1} \sqrt{-a x + 1} a x + {\left(a^{2} x^{2} - 2\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{2 \, a^{2} x^{3} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}}"," ",0,"-1/2*(x^3*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2*integrate((a^2*x^2 - 6)/(x^4*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))), x) + sqrt(a*x + 1)*sqrt(-a*x + 1)*a*x + (a^2*x^2 - 2)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))/(a^2*x^3*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2)","F",0
67,0,0,0,0.000000," ","integrate(x^4/arcsin(a*x)^4,x, algorithm=""maxima"")","-\frac{a^{3} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3} \int \frac{{\left(125 \, a^{4} x^{5} - 136 \, a^{2} x^{3} + 24 \, x\right)} \sqrt{a x + 1} \sqrt{-a x + 1}}{{\left(a^{5} x^{2} - a^{3}\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} + {\left(2 \, a^{2} x^{4} - {\left(25 \, a^{2} x^{4} - 12 \, x^{2}\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}\right)} \sqrt{a x + 1} \sqrt{-a x + 1} - {\left(5 \, a^{3} x^{5} - 4 \, a x^{3}\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{6 \, a^{3} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}"," ",0,"-1/6*(6*a^3*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3*integrate(1/6*(125*a^4*x^5 - 136*a^2*x^3 + 24*x)*sqrt(a*x + 1)*sqrt(-a*x + 1)/((a^5*x^2 - a^3)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))), x) + (2*a^2*x^4 - (25*a^2*x^4 - 12*x^2)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2)*sqrt(a*x + 1)*sqrt(-a*x + 1) - (5*a^3*x^5 - 4*a*x^3)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))/(a^3*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3)","F",0
68,0,0,0,0.000000," ","integrate(x^3/arcsin(a*x)^4,x, algorithm=""maxima"")","-\frac{2 \, a^{3} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3} \int \frac{{\left(32 \, a^{4} x^{4} - 30 \, a^{2} x^{2} + 3\right)} \sqrt{a x + 1} \sqrt{-a x + 1}}{{\left(a^{5} x^{2} - a^{3}\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} + 2 \, {\left(a^{2} x^{3} - {\left(8 \, a^{2} x^{3} - 3 \, x\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}\right)} \sqrt{a x + 1} \sqrt{-a x + 1} - {\left(4 \, a^{3} x^{4} - 3 \, a x^{2}\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{6 \, a^{3} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}"," ",0,"-1/6*(6*a^3*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3*integrate(1/3*(32*a^4*x^4 - 30*a^2*x^2 + 3)*sqrt(a*x + 1)*sqrt(-a*x + 1)/((a^5*x^2 - a^3)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))), x) + 2*(a^2*x^3 - (8*a^2*x^3 - 3*x)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2)*sqrt(a*x + 1)*sqrt(-a*x + 1) - (4*a^3*x^4 - 3*a*x^2)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))/(a^3*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3)","F",0
69,0,0,0,0.000000," ","integrate(x^2/arcsin(a*x)^4,x, algorithm=""maxima"")","-\frac{a^{3} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3} \int \frac{{\left(27 \, a^{2} x^{3} - 20 \, x\right)} \sqrt{a x + 1} \sqrt{-a x + 1}}{{\left(a^{3} x^{2} - a\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} + {\left(2 \, a^{2} x^{2} - {\left(9 \, a^{2} x^{2} - 2\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}\right)} \sqrt{a x + 1} \sqrt{-a x + 1} - {\left(3 \, a^{3} x^{3} - 2 \, a x\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{6 \, a^{3} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}"," ",0,"-1/6*(6*a^3*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3*integrate(1/6*(27*a^2*x^3 - 20*x)*sqrt(a*x + 1)*sqrt(-a*x + 1)/((a^3*x^2 - a)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))), x) + (2*a^2*x^2 - (9*a^2*x^2 - 2)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2)*sqrt(a*x + 1)*sqrt(-a*x + 1) - (3*a^3*x^3 - 2*a*x)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))/(a^3*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3)","F",0
70,0,0,0,0.000000," ","integrate(x/arcsin(a*x)^4,x, algorithm=""maxima"")","-\frac{4 \, a^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3} \int \frac{{\left(2 \, a^{2} x^{2} - 1\right)} \sqrt{a x + 1} \sqrt{-a x + 1}}{{\left(a^{3} x^{2} - a\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} - 2 \, {\left(2 \, a x \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} - a x\right)} \sqrt{a x + 1} \sqrt{-a x + 1} - {\left(2 \, a^{2} x^{2} - 1\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{6 \, a^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}"," ",0,"-1/6*(6*a^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3*integrate(2/3*(2*a^2*x^2 - 1)*sqrt(a*x + 1)*sqrt(-a*x + 1)/((a^3*x^2 - a)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))), x) - 2*(2*a*x*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2 - a*x)*sqrt(a*x + 1)*sqrt(-a*x + 1) - (2*a^2*x^2 - 1)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))/(a^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3)","F",0
71,0,0,0,0.000000," ","integrate(1/arcsin(a*x)^4,x, algorithm=""maxima"")","-\frac{a^{2} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3} \int \frac{\sqrt{a x + 1} \sqrt{-a x + 1} x}{{\left(a^{2} x^{2} - 1\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} - a x \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right) - \sqrt{a x + 1} \sqrt{-a x + 1} {\left(\arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} - 2\right)}}{6 \, a \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}"," ",0,"-1/6*(6*a^2*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3*integrate(1/6*sqrt(a*x + 1)*sqrt(-a*x + 1)*x/((a^2*x^2 - 1)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))), x) - a*x*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)) - sqrt(a*x + 1)*sqrt(-a*x + 1)*(arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2 - 2))/(a*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3)","F",0
72,0,0,0,0.000000," ","integrate(1/x/arcsin(a*x)^4,x, algorithm=""maxima"")","-\frac{2 \, a^{3} x^{3} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3} \int \frac{{\left(2 \, a^{2} x^{2} - 3\right)} \sqrt{a x + 1} \sqrt{-a x + 1}}{{\left(a^{5} x^{6} - a^{3} x^{4}\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} - a x \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right) + 2 \, {\left(a^{2} x^{2} + \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}\right)} \sqrt{a x + 1} \sqrt{-a x + 1}}{6 \, a^{3} x^{3} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}"," ",0,"-1/6*(6*a^3*x^3*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3*integrate(1/3*(2*a^2*x^2 - 3)*sqrt(a*x + 1)*sqrt(-a*x + 1)/((a^5*x^6 - a^3*x^4)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))), x) - a*x*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)) + 2*(a^2*x^2 + arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2)*sqrt(a*x + 1)*sqrt(-a*x + 1))/(a^3*x^3*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3)","F",0
73,0,0,0,0.000000," ","integrate(1/x^2/arcsin(a*x)^4,x, algorithm=""maxima"")","\frac{a^{3} x^{4} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3} \int \frac{{\left(a^{4} x^{4} - 20 \, a^{2} x^{2} + 24\right)} \sqrt{a x + 1} \sqrt{-a x + 1}}{{\left(a^{5} x^{7} - a^{3} x^{5}\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}\,{d x} - {\left(2 \, a^{2} x^{2} - {\left(a^{2} x^{2} - 6\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2}\right)} \sqrt{a x + 1} \sqrt{-a x + 1} - {\left(a^{3} x^{3} - 2 \, a x\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)}{6 \, a^{3} x^{4} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{3}}"," ",0,"1/6*(6*a^3*x^4*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3*integrate(1/6*(a^4*x^4 - 20*a^2*x^2 + 24)*sqrt(a*x + 1)*sqrt(-a*x + 1)/((a^5*x^7 - a^3*x^5)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))), x) - (2*a^2*x^2 - (a^2*x^2 - 6)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2)*sqrt(a*x + 1)*sqrt(-a*x + 1) - (a^3*x^3 - 2*a*x)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))/(a^3*x^4*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^3)","F",0
74,-2,0,0,0.000000," ","integrate(x^4*arcsin(a*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
75,-2,0,0,0.000000," ","integrate(x^3*arcsin(a*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
76,-2,0,0,0.000000," ","integrate(x^2*arcsin(a*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
77,-2,0,0,0.000000," ","integrate(x*arcsin(a*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
78,-2,0,0,0.000000," ","integrate(arcsin(a*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
79,-2,0,0,0.000000," ","integrate(arcsin(a*x)^(1/2)/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
80,-2,0,0,0.000000," ","integrate(x^4*arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
81,-2,0,0,0.000000," ","integrate(x^3*arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
82,-2,0,0,0.000000," ","integrate(x^2*arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
83,-2,0,0,0.000000," ","integrate(x*arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
84,-2,0,0,0.000000," ","integrate(arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
85,-2,0,0,0.000000," ","integrate(arcsin(a*x)^(3/2)/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
86,-2,0,0,0.000000," ","integrate(x^4*arcsin(a*x)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
87,-2,0,0,0.000000," ","integrate(x^3*arcsin(a*x)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
88,-2,0,0,0.000000," ","integrate(x^2*arcsin(a*x)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
89,-2,0,0,0.000000," ","integrate(x*arcsin(a*x)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
90,-2,0,0,0.000000," ","integrate(arcsin(a*x)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
91,-2,0,0,0.000000," ","integrate(arcsin(a*x)^(5/2)/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
92,-2,0,0,0.000000," ","integrate(x^4/arcsin(a*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
93,-2,0,0,0.000000," ","integrate(x^3/arcsin(a*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
94,-2,0,0,0.000000," ","integrate(x^2/arcsin(a*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
95,-2,0,0,0.000000," ","integrate(x/arcsin(a*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
96,-2,0,0,0.000000," ","integrate(1/arcsin(a*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
97,-2,0,0,0.000000," ","integrate(1/x/arcsin(a*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
98,-2,0,0,0.000000," ","integrate(1/x^2/arcsin(a*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
99,-2,0,0,0.000000," ","integrate(x^6/arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
100,-2,0,0,0.000000," ","integrate(x^5/arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
101,-2,0,0,0.000000," ","integrate(x^4/arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
102,-2,0,0,0.000000," ","integrate(x^3/arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
103,-2,0,0,0.000000," ","integrate(x^2/arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
104,-2,0,0,0.000000," ","integrate(x/arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
105,-2,0,0,0.000000," ","integrate(1/arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
106,-2,0,0,0.000000," ","integrate(1/x/arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
107,-2,0,0,0.000000," ","integrate(x^4/arcsin(a*x)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
108,-2,0,0,0.000000," ","integrate(x^3/arcsin(a*x)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
109,-2,0,0,0.000000," ","integrate(x^2/arcsin(a*x)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
110,-2,0,0,0.000000," ","integrate(x/arcsin(a*x)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
111,-2,0,0,0.000000," ","integrate(1/arcsin(a*x)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
112,-2,0,0,0.000000," ","integrate(1/x/arcsin(a*x)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
113,-2,0,0,0.000000," ","integrate(x^4/arcsin(a*x)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
114,-2,0,0,0.000000," ","integrate(x^3/arcsin(a*x)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
115,-2,0,0,0.000000," ","integrate(x^2/arcsin(a*x)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
116,-2,0,0,0.000000," ","integrate(x/arcsin(a*x)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
117,-2,0,0,0.000000," ","integrate(1/arcsin(a*x)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
118,-2,0,0,0.000000," ","integrate(1/x/arcsin(a*x)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
119,-1,0,0,0.000000," ","integrate((b*x)^m*arcsin(a*x)^4,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
120,-1,0,0,0.000000," ","integrate((b*x)^m*arcsin(a*x)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
121,-1,0,0,0.000000," ","integrate((b*x)^m*arcsin(a*x)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
122,0,0,0,0.000000," ","integrate((b*x)^m*arcsin(a*x),x, algorithm=""maxima"")","\frac{b^{m} x x^{m} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right) + \frac{{\left(a b^{m} m + a b^{m}\right)} \int \frac{\sqrt{-a x + 1} x x^{m}}{\sqrt{a x + 1} {\left(a x - 1\right)}}\,{d x}}{m + 1}}{m + 1}"," ",0,"(b^m*x*x^m*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)) + (a*b^m*m + a*b^m)*integrate(sqrt(a*x + 1)*sqrt(-a*x + 1)*x*x^m/((a^2*m + a^2)*x^2 - m - 1), x))/(m + 1)","F",0
123,0,0,0,0.000000," ","integrate((b*x)^m/arcsin(a*x),x, algorithm=""maxima"")","\int \frac{\left(b x\right)^{m}}{\arcsin\left(a x\right)}\,{d x}"," ",0,"integrate((b*x)^m/arcsin(a*x), x)","F",0
124,-1,0,0,0.000000," ","integrate((b*x)^m/arcsin(a*x)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
125,-2,0,0,0.000000," ","integrate((b*x)^m*arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
126,-2,0,0,0.000000," ","integrate((b*x)^m*arcsin(a*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
127,-2,0,0,0.000000," ","integrate((b*x)^m/arcsin(a*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
128,-2,0,0,0.000000," ","integrate((b*x)^m/arcsin(a*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
129,-2,0,0,0.000000," ","integrate((b*x)^m*arcsin(a*x)^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
130,-2,0,0,0.000000," ","integrate(x^3*arcsin(a*x)^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
131,-2,0,0,0.000000," ","integrate(x^2*arcsin(a*x)^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
132,-2,0,0,0.000000," ","integrate(x*arcsin(a*x)^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
133,-2,0,0,0.000000," ","integrate(arcsin(a*x)^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
134,-2,0,0,0.000000," ","integrate(arcsin(a*x)^n/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
135,-2,0,0,0.000000," ","integrate(arcsin(a*x)^n/x^2,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
136,-2,0,0,0.000000," ","integrate((b*x)^(3/2)*arcsin(a*x)^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
137,-2,0,0,0.000000," ","integrate((b*x)^(1/2)*arcsin(a*x)^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
138,-2,0,0,0.000000," ","integrate(arcsin(a*x)^n/(b*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
139,-2,0,0,0.000000," ","integrate(arcsin(a*x)^n/(b*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
140,1,70,0,0.449227," ","integrate(x^3*(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\frac{1}{4} \, a x^{4} + \frac{1}{32} \, {\left(8 \, x^{4} \arcsin\left(c x\right) + {\left(\frac{2 \, \sqrt{-c^{2} x^{2} + 1} x^{3}}{c^{2}} + \frac{3 \, \sqrt{-c^{2} x^{2} + 1} x}{c^{4}} - \frac{3 \, \arcsin\left(c x\right)}{c^{5}}\right)} c\right)} b"," ",0,"1/4*a*x^4 + 1/32*(8*x^4*arcsin(c*x) + (2*sqrt(-c^2*x^2 + 1)*x^3/c^2 + 3*sqrt(-c^2*x^2 + 1)*x/c^4 - 3*arcsin(c*x)/c^5)*c)*b","A",0
141,1,59,0,0.449327," ","integrate(x^2*(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\frac{1}{3} \, a x^{3} + \frac{1}{9} \, {\left(3 \, x^{3} \arcsin\left(c x\right) + c {\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{2}}{c^{2}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1}}{c^{4}}\right)}\right)} b"," ",0,"1/3*a*x^3 + 1/9*(3*x^3*arcsin(c*x) + c*(sqrt(-c^2*x^2 + 1)*x^2/c^2 + 2*sqrt(-c^2*x^2 + 1)/c^4))*b","A",0
142,1,49,0,0.433665," ","integrate(x*(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\frac{1}{2} \, a x^{2} + \frac{1}{4} \, {\left(2 \, x^{2} \arcsin\left(c x\right) + c {\left(\frac{\sqrt{-c^{2} x^{2} + 1} x}{c^{2}} - \frac{\arcsin\left(c x\right)}{c^{3}}\right)}\right)} b"," ",0,"1/2*a*x^2 + 1/4*(2*x^2*arcsin(c*x) + c*(sqrt(-c^2*x^2 + 1)*x/c^2 - arcsin(c*x)/c^3))*b","A",0
143,1,29,0,0.433599," ","integrate(a+b*arcsin(c*x),x, algorithm=""maxima"")","a x + \frac{{\left(c x \arcsin\left(c x\right) + \sqrt{-c^{2} x^{2} + 1}\right)} b}{c}"," ",0,"a*x + (c*x*arcsin(c*x) + sqrt(-c^2*x^2 + 1))*b/c","A",0
144,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x,x, algorithm=""maxima"")","b \int \frac{\arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)}{x}\,{d x} + a \log\left(x\right)"," ",0,"b*integrate(arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))/x, x) + a*log(x)","F",0
145,1,47,0,0.422767," ","integrate((a+b*arcsin(c*x))/x^2,x, algorithm=""maxima"")","-{\left(c \log\left(\frac{2 \, \sqrt{-c^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right) + \frac{\arcsin\left(c x\right)}{x}\right)} b - \frac{a}{x}"," ",0,"-(c*log(2*sqrt(-c^2*x^2 + 1)/abs(x) + 2/abs(x)) + arcsin(c*x)/x)*b - a/x","A",0
146,1,36,0,0.471082," ","integrate((a+b*arcsin(c*x))/x^3,x, algorithm=""maxima"")","-\frac{1}{2} \, b {\left(\frac{\sqrt{-c^{2} x^{2} + 1} c}{x} + \frac{\arcsin\left(c x\right)}{x^{2}}\right)} - \frac{a}{2 \, x^{2}}"," ",0,"-1/2*b*(sqrt(-c^2*x^2 + 1)*c/x + arcsin(c*x)/x^2) - 1/2*a/x^2","A",0
147,1,69,0,0.439840," ","integrate((a+b*arcsin(c*x))/x^4,x, algorithm=""maxima"")","-\frac{1}{6} \, {\left({\left(c^{2} \log\left(\frac{2 \, \sqrt{-c^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right) + \frac{\sqrt{-c^{2} x^{2} + 1}}{x^{2}}\right)} c + \frac{2 \, \arcsin\left(c x\right)}{x^{3}}\right)} b - \frac{a}{3 \, x^{3}}"," ",0,"-1/6*((c^2*log(2*sqrt(-c^2*x^2 + 1)/abs(x) + 2/abs(x)) + sqrt(-c^2*x^2 + 1)/x^2)*c + 2*arcsin(c*x)/x^3)*b - 1/3*a/x^3","A",0
148,1,142,0,0.457651," ","integrate(x^2*(a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} x^{3} \arcsin\left(c x\right)^{2} + \frac{1}{3} \, a^{2} x^{3} + \frac{2}{9} \, {\left(3 \, x^{3} \arcsin\left(c x\right) + c {\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{2}}{c^{2}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1}}{c^{4}}\right)}\right)} a b + \frac{2}{27} \, {\left(3 \, c {\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{2}}{c^{2}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1}}{c^{4}}\right)} \arcsin\left(c x\right) - \frac{c^{2} x^{3} + 6 \, x}{c^{2}}\right)} b^{2}"," ",0,"1/3*b^2*x^3*arcsin(c*x)^2 + 1/3*a^2*x^3 + 2/9*(3*x^3*arcsin(c*x) + c*(sqrt(-c^2*x^2 + 1)*x^2/c^2 + 2*sqrt(-c^2*x^2 + 1)/c^4))*a*b + 2/27*(3*c*(sqrt(-c^2*x^2 + 1)*x^2/c^2 + 2*sqrt(-c^2*x^2 + 1)/c^4)*arcsin(c*x) - (c^2*x^3 + 6*x)/c^2)*b^2","A",0
149,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} x^{2} + \frac{1}{2} \, {\left(2 \, x^{2} \arcsin\left(c x\right) + c {\left(\frac{\sqrt{-c^{2} x^{2} + 1} x}{c^{2}} - \frac{\arcsin\left(c x\right)}{c^{3}}\right)}\right)} a b + \frac{1}{2} \, {\left(x^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + 2 \, c \int \frac{\sqrt{c x + 1} \sqrt{-c x + 1} x^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)}{c^{2} x^{2} - 1}\,{d x}\right)} b^{2}"," ",0,"1/2*a^2*x^2 + 1/2*(2*x^2*arcsin(c*x) + c*(sqrt(-c^2*x^2 + 1)*x/c^2 - arcsin(c*x)/c^3))*a*b + 1/2*(x^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 2*c*integrate(sqrt(c*x + 1)*sqrt(-c*x + 1)*x^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))/(c^2*x^2 - 1), x))*b^2","F",0
150,1,72,0,0.465805," ","integrate((a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","b^{2} x \arcsin\left(c x\right)^{2} - 2 \, b^{2} {\left(x - \frac{\sqrt{-c^{2} x^{2} + 1} \arcsin\left(c x\right)}{c}\right)} + a^{2} x + \frac{2 \, {\left(c x \arcsin\left(c x\right) + \sqrt{-c^{2} x^{2} + 1}\right)} a b}{c}"," ",0,"b^2*x*arcsin(c*x)^2 - 2*b^2*(x - sqrt(-c^2*x^2 + 1)*arcsin(c*x)/c) + a^2*x + 2*(c*x*arcsin(c*x) + sqrt(-c^2*x^2 + 1))*a*b/c","A",0
151,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x,x, algorithm=""maxima"")","a^{2} \log\left(x\right) + \int \frac{b^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + 2 \, a b \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)}{x}\,{d x}"," ",0,"a^2*log(x) + integrate((b^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 2*a*b*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)))/x, x)","F",0
152,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^2,x, algorithm=""maxima"")","-2 \, {\left(c \log\left(\frac{2 \, \sqrt{-c^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right) + \frac{\arcsin\left(c x\right)}{x}\right)} a b - \frac{{\left(2 \, c x \int \frac{\sqrt{-c x + 1} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)}{\sqrt{c x + 1} {\left(c x - 1\right)} x}\,{d x} + \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2}\right)} b^{2}}{x} - \frac{a^{2}}{x}"," ",0,"-2*(c*log(2*sqrt(-c^2*x^2 + 1)/abs(x) + 2/abs(x)) + arcsin(c*x)/x)*a*b - (2*c*x*integrate(sqrt(c*x + 1)*sqrt(-c*x + 1)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))/(c^2*x^3 - x), x) + arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2)*b^2/x - a^2/x","F",0
153,1,273,0,0.484781," ","integrate(x^2*(a+b*arcsin(c*x))^3,x, algorithm=""maxima"")","\frac{1}{3} \, b^{3} x^{3} \arcsin\left(c x\right)^{3} + a b^{2} x^{3} \arcsin\left(c x\right)^{2} + \frac{1}{3} \, a^{3} x^{3} + \frac{1}{3} \, {\left(3 \, x^{3} \arcsin\left(c x\right) + c {\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{2}}{c^{2}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1}}{c^{4}}\right)}\right)} a^{2} b + \frac{2}{9} \, {\left(3 \, c {\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{2}}{c^{2}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1}}{c^{4}}\right)} \arcsin\left(c x\right) - \frac{c^{2} x^{3} + 6 \, x}{c^{2}}\right)} a b^{2} + \frac{1}{27} \, {\left(9 \, c {\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{2}}{c^{2}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1}}{c^{4}}\right)} \arcsin\left(c x\right)^{2} - 2 \, c {\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{2} + \frac{20 \, \sqrt{-c^{2} x^{2} + 1}}{c^{2}}}{c^{2}} + \frac{3 \, {\left(c^{2} x^{3} + 6 \, x\right)} \arcsin\left(c x\right)}{c^{3}}\right)}\right)} b^{3}"," ",0,"1/3*b^3*x^3*arcsin(c*x)^3 + a*b^2*x^3*arcsin(c*x)^2 + 1/3*a^3*x^3 + 1/3*(3*x^3*arcsin(c*x) + c*(sqrt(-c^2*x^2 + 1)*x^2/c^2 + 2*sqrt(-c^2*x^2 + 1)/c^4))*a^2*b + 2/9*(3*c*(sqrt(-c^2*x^2 + 1)*x^2/c^2 + 2*sqrt(-c^2*x^2 + 1)/c^4)*arcsin(c*x) - (c^2*x^3 + 6*x)/c^2)*a*b^2 + 1/27*(9*c*(sqrt(-c^2*x^2 + 1)*x^2/c^2 + 2*sqrt(-c^2*x^2 + 1)/c^4)*arcsin(c*x)^2 - 2*c*((sqrt(-c^2*x^2 + 1)*x^2 + 20*sqrt(-c^2*x^2 + 1)/c^2)/c^2 + 3*(c^2*x^3 + 6*x)*arcsin(c*x)/c^3))*b^3","A",0
154,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))^3,x, algorithm=""maxima"")","\frac{1}{2} \, b^{3} x^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{3} + \frac{1}{2} \, a^{3} x^{2} + \frac{3}{4} \, {\left(2 \, x^{2} \arcsin\left(c x\right) + c {\left(\frac{\sqrt{-c^{2} x^{2} + 1} x}{c^{2}} - \frac{\arcsin\left(c x\right)}{c^{3}}\right)}\right)} a^{2} b + \int \frac{3 \, {\left(\sqrt{c x + 1} \sqrt{-c x + 1} b^{3} c x^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + 2 \, {\left(a b^{2} c^{2} x^{3} - a b^{2} x\right)} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2}\right)}}{2 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x}"," ",0,"1/2*b^3*x^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^3 + 1/2*a^3*x^2 + 3/4*(2*x^2*arcsin(c*x) + c*(sqrt(-c^2*x^2 + 1)*x/c^2 - arcsin(c*x)/c^3))*a^2*b + integrate(3/2*(sqrt(c*x + 1)*sqrt(-c*x + 1)*b^3*c*x^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 2*(a*b^2*c^2*x^3 - a*b^2*x)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2)/(c^2*x^2 - 1), x)","F",0
155,1,141,0,0.441192," ","integrate((a+b*arcsin(c*x))^3,x, algorithm=""maxima"")","b^{3} x \arcsin\left(c x\right)^{3} + 3 \, a b^{2} x \arcsin\left(c x\right)^{2} + 3 \, {\left(\frac{\sqrt{-c^{2} x^{2} + 1} \arcsin\left(c x\right)^{2}}{c} - \frac{2 \, {\left(c x \arcsin\left(c x\right) + \sqrt{-c^{2} x^{2} + 1}\right)}}{c}\right)} b^{3} - 6 \, a b^{2} {\left(x - \frac{\sqrt{-c^{2} x^{2} + 1} \arcsin\left(c x\right)}{c}\right)} + a^{3} x + \frac{3 \, {\left(c x \arcsin\left(c x\right) + \sqrt{-c^{2} x^{2} + 1}\right)} a^{2} b}{c}"," ",0,"b^3*x*arcsin(c*x)^3 + 3*a*b^2*x*arcsin(c*x)^2 + 3*(sqrt(-c^2*x^2 + 1)*arcsin(c*x)^2/c - 2*(c*x*arcsin(c*x) + sqrt(-c^2*x^2 + 1))/c)*b^3 - 6*a*b^2*(x - sqrt(-c^2*x^2 + 1)*arcsin(c*x)/c) + a^3*x + 3*(c*x*arcsin(c*x) + sqrt(-c^2*x^2 + 1))*a^2*b/c","A",0
156,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^3/x,x, algorithm=""maxima"")","a^{3} \log\left(x\right) + \int \frac{b^{3} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{3} + 3 \, a b^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + 3 \, a^{2} b \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)}{x}\,{d x}"," ",0,"a^3*log(x) + integrate((b^3*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^3 + 3*a*b^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 3*a^2*b*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)))/x, x)","F",0
157,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^3/x^2,x, algorithm=""maxima"")","-3 \, {\left(c \log\left(\frac{2 \, \sqrt{-c^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right) + \frac{\arcsin\left(c x\right)}{x}\right)} a^{2} b - \frac{a^{3}}{x} - \frac{b^{3} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{3} + \frac{3}{2} \, {\left(a b^{2} c^{2} {\left(\frac{\log\left(c x + 1\right)}{c} - \frac{\log\left(c x - 1\right)}{c}\right)} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)^{2} - {\left(c \log\left(c x + 1\right) - c \log\left(c x - 1\right) - \frac{2}{x}\right)} a b^{2} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)^{2} + 8 \, b^{3} c \int \frac{\sqrt{c x + 1} \sqrt{-c x + 1} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2}}{4 \, {\left(c^{2} x^{3} - x\right)}}\,{d x}\right)} x}{x}"," ",0,"-3*(c*log(2*sqrt(-c^2*x^2 + 1)/abs(x) + 2/abs(x)) + arcsin(c*x)/x)*a^2*b - a^3/x - (b^3*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^3 + x*integrate(3*(sqrt(c*x + 1)*sqrt(-c*x + 1)*b^3*c*x*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 - (a*b^2*c^2*x^2 - a*b^2)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2)/(c^2*x^4 - x^2), x))/x","F",0
158,0,0,0,0.000000," ","integrate(x^2/(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\int \frac{x^{2}}{b \arcsin\left(c x\right) + a}\,{d x}"," ",0,"integrate(x^2/(b*arcsin(c*x) + a), x)","F",0
159,0,0,0,0.000000," ","integrate(x/(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\int \frac{x}{b \arcsin\left(c x\right) + a}\,{d x}"," ",0,"integrate(x/(b*arcsin(c*x) + a), x)","F",0
160,0,0,0,0.000000," ","integrate(1/(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\int \frac{1}{b \arcsin\left(c x\right) + a}\,{d x}"," ",0,"integrate(1/(b*arcsin(c*x) + a), x)","F",0
161,0,0,0,0.000000," ","integrate(1/x/(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \arcsin\left(c x\right) + a\right)} x}\,{d x}"," ",0,"integrate(1/((b*arcsin(c*x) + a)*x), x)","F",0
162,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \arcsin\left(c x\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*arcsin(c*x) + a)*x^2), x)","F",0
163,-1,0,0,0.000000," ","integrate(x^2/(a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
164,-1,0,0,0.000000," ","integrate(x/(a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
165,-1,0,0,0.000000," ","integrate(1/(a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
166,-1,0,0,0.000000," ","integrate(1/x/(a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
167,-1,0,0,0.000000," ","integrate(1/x^2/(a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,0,0,0,0.000000," ","integrate(x^2/(a+b*arcsin(c*x))^3,x, algorithm=""maxima"")","\frac{3 \, a c^{2} x^{3} - \sqrt{c x + 1} \sqrt{-c x + 1} b c x^{2} - 2 \, a x + {\left(3 \, b c^{2} x^{3} - 2 \, b x\right)} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) - {\left(b^{4} c^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + 2 \, a b^{3} c^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a^{2} b^{2} c^{2}\right)} \int \frac{9 \, c^{2} x^{2} - 2}{b^{3} c^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a b^{2} c^{2}}\,{d x}}{2 \, {\left(b^{4} c^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + 2 \, a b^{3} c^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a^{2} b^{2} c^{2}\right)}}"," ",0,"1/2*(3*a*c^2*x^3 - sqrt(c*x + 1)*sqrt(-c*x + 1)*b*c*x^2 - 2*a*x + (3*b*c^2*x^3 - 2*b*x)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) - 2*(b^4*c^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 2*a*b^3*c^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a^2*b^2*c^2)*integrate(1/2*(9*c^2*x^2 - 2)/(b^3*c^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a*b^2*c^2), x))/(b^4*c^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 2*a*b^3*c^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a^2*b^2*c^2)","F",0
169,0,0,0,0.000000," ","integrate(x/(a+b*arcsin(c*x))^3,x, algorithm=""maxima"")","\frac{2 \, a c^{2} x^{2} - \sqrt{c x + 1} \sqrt{-c x + 1} b c x + {\left(2 \, b c^{2} x^{2} - b\right)} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) - a - \frac{4 \, {\left(b^{4} c^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + 2 \, a b^{3} c^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a^{2} b^{2} c^{2}\right)} \int \frac{x}{b \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a}\,{d x}}{b^{2}}}{2 \, {\left(b^{4} c^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + 2 \, a b^{3} c^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a^{2} b^{2} c^{2}\right)}}"," ",0,"1/2*(2*a*c^2*x^2 - sqrt(c*x + 1)*sqrt(-c*x + 1)*b*c*x + (2*b*c^2*x^2 - b)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) - 4*(b^4*c^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 2*a*b^3*c^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a^2*b^2*c^2)*integrate(x/(b^3*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a*b^2), x) - a)/(b^4*c^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 2*a*b^3*c^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a^2*b^2*c^2)","F",0
170,0,0,0,0.000000," ","integrate(1/(a+b*arcsin(c*x))^3,x, algorithm=""maxima"")","\frac{b c x \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a c x - \sqrt{c x + 1} \sqrt{-c x + 1} b - {\left(b^{4} c \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + 2 \, a b^{3} c \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a^{2} b^{2} c\right)} \int \frac{1}{b^{3} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a b^{2}}\,{d x}}{2 \, {\left(b^{4} c \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + 2 \, a b^{3} c \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a^{2} b^{2} c\right)}}"," ",0,"1/2*(b*c*x*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a*c*x - sqrt(c*x + 1)*sqrt(-c*x + 1)*b - 2*(b^4*c*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 2*a*b^3*c*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a^2*b^2*c)*integrate(1/2/(b^3*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a*b^2), x))/(b^4*c*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 2*a*b^3*c*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a^2*b^2*c)","F",0
171,0,0,0,0.000000," ","integrate(1/x/(a+b*arcsin(c*x))^3,x, algorithm=""maxima"")","-\frac{\sqrt{c x + 1} \sqrt{-c x + 1} b c x - b \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) - a - \frac{2 \, {\left(b^{4} c^{2} x^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + 2 \, a b^{3} c^{2} x^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a^{2} b^{2} c^{2} x^{2}\right)} \int \frac{1}{{\left(b \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a\right)} x^{3}}\,{d x}}{b^{2} c^{2}}}{2 \, {\left(b^{4} c^{2} x^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + 2 \, a b^{3} c^{2} x^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a^{2} b^{2} c^{2} x^{2}\right)}}"," ",0,"-1/2*(sqrt(c*x + 1)*sqrt(-c*x + 1)*b*c*x - b*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) - 2*(b^4*c^2*x^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 2*a*b^3*c^2*x^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a^2*b^2*c^2*x^2)*integrate(1/(b^3*c^2*x^3*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a*b^2*c^2*x^3), x) - a)/(b^4*c^2*x^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 2*a*b^3*c^2*x^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a^2*b^2*c^2*x^2)","F",0
172,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arcsin(c*x))^3,x, algorithm=""maxima"")","-\frac{a c^{2} x^{2} + \sqrt{c x + 1} \sqrt{-c x + 1} b c x + {\left(b c^{2} x^{2} - 2 \, b\right)} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + {\left(b^{4} c^{2} x^{3} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + 2 \, a b^{3} c^{2} x^{3} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a^{2} b^{2} c^{2} x^{3}\right)} \int \frac{c^{2} x^{2} - 6}{b^{3} c^{2} x^{4} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a b^{2} c^{2} x^{4}}\,{d x} - 2 \, a}{2 \, {\left(b^{4} c^{2} x^{3} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + 2 \, a b^{3} c^{2} x^{3} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a^{2} b^{2} c^{2} x^{3}\right)}}"," ",0,"-1/2*(a*c^2*x^2 + sqrt(c*x + 1)*sqrt(-c*x + 1)*b*c*x + (b*c^2*x^2 - 2*b)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + 2*(b^4*c^2*x^3*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 2*a*b^3*c^2*x^3*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a^2*b^2*c^2*x^3)*integrate(1/2*(c^2*x^2 - 6)/(b^3*c^2*x^4*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a*b^2*c^2*x^4), x) - 2*a)/(b^4*c^2*x^3*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 2*a*b^3*c^2*x^3*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a^2*b^2*c^2*x^3)","F",0
173,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \arcsin\left(c x\right) + a} x^{2}\,{d x}"," ",0,"integrate(sqrt(b*arcsin(c*x) + a)*x^2, x)","F",0
174,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \arcsin\left(c x\right) + a} x\,{d x}"," ",0,"integrate(sqrt(b*arcsin(c*x) + a)*x, x)","F",0
175,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \arcsin\left(c x\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*arcsin(c*x) + a), x)","F",0
176,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{b \arcsin\left(c x\right) + a}}{x}\,{d x}"," ",0,"integrate(sqrt(b*arcsin(c*x) + a)/x, x)","F",0
177,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{b \arcsin\left(c x\right) + a}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(b*arcsin(c*x) + a)/x^2, x)","F",0
178,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))^(3/2),x, algorithm=""maxima"")","\int {\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}} x^{2}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^(3/2)*x^2, x)","F",0
179,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))^(3/2),x, algorithm=""maxima"")","\int {\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}} x\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^(3/2)*x, x)","F",0
180,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(3/2),x, algorithm=""maxima"")","\int {\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^(3/2), x)","F",0
181,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^(3/2)/x, x)","F",0
182,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^(3/2)/x^2, x)","F",0
183,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))^(5/2),x, algorithm=""maxima"")","\int {\left(b \arcsin\left(c x\right) + a\right)}^{\frac{5}{2}} x^{2}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^(5/2)*x^2, x)","F",0
184,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))^(5/2),x, algorithm=""maxima"")","\int {\left(b \arcsin\left(c x\right) + a\right)}^{\frac{5}{2}} x\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^(5/2)*x, x)","F",0
185,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(5/2),x, algorithm=""maxima"")","\int {\left(b \arcsin\left(c x\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^(5/2), x)","F",0
186,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(5/2)/x,x, algorithm=""maxima"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^(5/2)/x, x)","F",0
187,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(5/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{5}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^(5/2)/x^2, x)","F",0
188,0,0,0,0.000000," ","integrate(x^2/(a+b*arcsin(c*x))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{b \arcsin\left(c x\right) + a}}\,{d x}"," ",0,"integrate(x^2/sqrt(b*arcsin(c*x) + a), x)","F",0
189,0,0,0,0.000000," ","integrate(x/(a+b*arcsin(c*x))^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{b \arcsin\left(c x\right) + a}}\,{d x}"," ",0,"integrate(x/sqrt(b*arcsin(c*x) + a), x)","F",0
190,0,0,0,0.000000," ","integrate(1/(a+b*arcsin(c*x))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \arcsin\left(c x\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*arcsin(c*x) + a), x)","F",0
191,0,0,0,0.000000," ","integrate(1/x/(a+b*arcsin(c*x))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \arcsin\left(c x\right) + a} x}\,{d x}"," ",0,"integrate(1/(sqrt(b*arcsin(c*x) + a)*x), x)","F",0
192,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arcsin(c*x))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \arcsin\left(c x\right) + a} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(b*arcsin(c*x) + a)*x^2), x)","F",0
193,0,0,0,0.000000," ","integrate(x^2/(a+b*arcsin(c*x))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/(b*arcsin(c*x) + a)^(3/2), x)","F",0
194,0,0,0,0.000000," ","integrate(x/(a+b*arcsin(c*x))^(3/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/(b*arcsin(c*x) + a)^(3/2), x)","F",0
195,0,0,0,0.000000," ","integrate(1/(a+b*arcsin(c*x))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^(-3/2), x)","F",0
196,0,0,0,0.000000," ","integrate(1/x/(a+b*arcsin(c*x))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/((b*arcsin(c*x) + a)^(3/2)*x), x)","F",0
197,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arcsin(c*x))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*arcsin(c*x) + a)^(3/2)*x^2), x)","F",0
198,0,0,0,0.000000," ","integrate(x^2/(a+b*arcsin(c*x))^(5/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^2/(b*arcsin(c*x) + a)^(5/2), x)","F",0
199,0,0,0,0.000000," ","integrate(x/(a+b*arcsin(c*x))^(5/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x/(b*arcsin(c*x) + a)^(5/2), x)","F",0
200,0,0,0,0.000000," ","integrate(1/(a+b*arcsin(c*x))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^(-5/2), x)","F",0
201,0,0,0,0.000000," ","integrate(1/x/(a+b*arcsin(c*x))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{5}{2}} x}\,{d x}"," ",0,"integrate(1/((b*arcsin(c*x) + a)^(5/2)*x), x)","F",0
202,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arcsin(c*x))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{5}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*arcsin(c*x) + a)^(5/2)*x^2), x)","F",0
203,0,0,0,0.000000," ","integrate((d*x)^(5/2)*(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\frac{2}{7} \, b d^{\frac{5}{2}} x^{\frac{7}{2}} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + \frac{2}{7} \, {\left(a d^{2} x^{\frac{7}{2}} + 7 \, b c d^{2} \int \frac{\sqrt{c x + 1} \sqrt{-c x + 1} x^{\frac{7}{2}}}{7 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x}\right)} \sqrt{d}"," ",0,"2/7*b*d^(5/2)*x^(7/2)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + 2/7*(a*d^2*x^(7/2) + 7*b*c*d^2*integrate(1/7*sqrt(c*x + 1)*sqrt(-c*x + 1)*x^(7/2)/(c^2*x^2 - 1), x))*sqrt(d)","F",0
204,0,0,0,0.000000," ","integrate((d*x)^(3/2)*(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\frac{2}{5} \, b d^{\frac{3}{2}} x^{\frac{5}{2}} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + \frac{2}{5} \, {\left(a d x^{\frac{5}{2}} + 5 \, b c d \int \frac{\sqrt{c x + 1} \sqrt{-c x + 1} x^{\frac{5}{2}}}{5 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x}\right)} \sqrt{d}"," ",0,"2/5*b*d^(3/2)*x^(5/2)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + 2/5*(a*d*x^(5/2) + 5*b*c*d*integrate(1/5*sqrt(c*x + 1)*sqrt(-c*x + 1)*x^(5/2)/(c^2*x^2 - 1), x))*sqrt(d)","F",0
205,0,0,0,0.000000," ","integrate((d*x)^(1/2)*(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\frac{2}{3} \, b \sqrt{d} x^{\frac{3}{2}} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + \frac{2}{3} \, {\left(3 \, b c \int \frac{\sqrt{c x + 1} \sqrt{-c x + 1} x^{\frac{3}{2}}}{3 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x} + a x^{\frac{3}{2}}\right)} \sqrt{d}"," ",0,"2/3*b*sqrt(d)*x^(3/2)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + 2/3*(3*b*c*integrate(1/3*sqrt(c*x + 1)*sqrt(-c*x + 1)*x^(3/2)/(c^2*x^2 - 1), x) + a*x^(3/2))*sqrt(d)","F",0
206,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(d*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{d} \sqrt{x} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + {\left(b c \int \frac{\sqrt{-c x + 1} \sqrt{x}}{\sqrt{c x + 1} c x - \sqrt{c x + 1}}\,{d x} + a \sqrt{x}\right)} \sqrt{d}\right)}}{d}"," ",0,"2*(b*sqrt(d)*sqrt(x)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + (b*c*d*integrate(sqrt(c*x + 1)*sqrt(-c*x + 1)*sqrt(x)/(c^2*d*x^2 - d), x) + a*sqrt(x))*sqrt(d))/d","F",0
207,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(d*x)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(b \sqrt{d} \sqrt{x} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + {\left(b c \sqrt{x} \int \frac{\sqrt{-c x + 1}}{\sqrt{c x + 1} c x^{\frac{3}{2}} - \sqrt{c x + 1} \sqrt{x}}\,{d x} + a\right)} \sqrt{d} \sqrt{x}\right)}}{d^{2} x}"," ",0,"-2*(b*sqrt(d)*sqrt(x)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + (b*c*d^2*sqrt(x)*integrate(sqrt(c*x + 1)*sqrt(-c*x + 1)*sqrt(x)/(c^2*d^2*x^3 - d^2*x), x) + a)*sqrt(d)*sqrt(x))/(d^2*x)","F",0
208,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(d*x)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(b \sqrt{d} x^{\frac{3}{2}} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + {\left(b c d^{3} x^{\frac{5}{2}} \int \frac{\sqrt{c x + 1} \sqrt{-c x + 1} \sqrt{x}}{c^{2} d^{3} x^{4} - d^{3} x^{2}}\,{d x} + a x\right)} \sqrt{d} \sqrt{x}\right)}}{3 \, d^{3} x^{3}}"," ",0,"-2/3*(b*sqrt(d)*x^(3/2)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + (3*b*c*d^3*x^(5/2)*integrate(1/3*sqrt(c*x + 1)*sqrt(-c*x + 1)*sqrt(x)/(c^2*d^3*x^4 - d^3*x^2), x) + a*x)*sqrt(d)*sqrt(x))/(d^3*x^3)","F",0
209,0,0,0,0.000000," ","integrate((d*x)^(5/2)*(a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","\frac{2}{7} \, b^{2} d^{\frac{5}{2}} x^{\frac{7}{2}} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + \frac{1}{42} \, a^{2} c^{2} d^{\frac{5}{2}} {\left(\frac{4 \, {\left(3 \, c^{2} x^{\frac{7}{2}} + 7 \, x^{\frac{3}{2}}\right)}}{c^{4}} + \frac{42 \, \arctan\left(\sqrt{c} \sqrt{x}\right)}{c^{\frac{11}{2}}} + \frac{21 \, \log\left(\frac{c \sqrt{x} - \sqrt{c}}{c \sqrt{x} + \sqrt{c}}\right)}{c^{\frac{11}{2}}}\right)} + 14 \, a b c^{2} d^{\frac{5}{2}} \int \frac{x^{\frac{9}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{7 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x} + 4 \, b^{2} c d^{\frac{5}{2}} \int \frac{\sqrt{c x + 1} \sqrt{-c x + 1} x^{\frac{7}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{7 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x} - \frac{1}{6} \, a^{2} d^{\frac{5}{2}} {\left(\frac{4 \, x^{\frac{3}{2}}}{c^{2}} + \frac{6 \, \arctan\left(\sqrt{c} \sqrt{x}\right)}{c^{\frac{7}{2}}} + \frac{3 \, \log\left(\frac{c \sqrt{x} - \sqrt{c}}{c \sqrt{x} + \sqrt{c}}\right)}{c^{\frac{7}{2}}}\right)} - 14 \, a b d^{\frac{5}{2}} \int \frac{x^{\frac{5}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{7 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x}"," ",0,"2/7*b^2*d^(5/2)*x^(7/2)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 1/42*a^2*c^2*d^(5/2)*(4*(3*c^2*x^(7/2) + 7*x^(3/2))/c^4 + 42*arctan(sqrt(c)*sqrt(x))/c^(11/2) + 21*log((c*sqrt(x) - sqrt(c))/(c*sqrt(x) + sqrt(c)))/c^(11/2)) + 14*a*b*c^2*d^(5/2)*integrate(1/7*x^(9/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*x^2 - 1), x) + 4*b^2*c*d^(5/2)*integrate(1/7*sqrt(c*x + 1)*sqrt(-c*x + 1)*x^(7/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*x^2 - 1), x) - 1/6*a^2*d^(5/2)*(4*x^(3/2)/c^2 + 6*arctan(sqrt(c)*sqrt(x))/c^(7/2) + 3*log((c*sqrt(x) - sqrt(c))/(c*sqrt(x) + sqrt(c)))/c^(7/2)) - 14*a*b*d^(5/2)*integrate(1/7*x^(5/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*x^2 - 1), x)","F",0
210,0,0,0,0.000000," ","integrate((d*x)^(3/2)*(a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","\frac{2}{5} \, b^{2} d^{\frac{3}{2}} x^{\frac{5}{2}} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + \frac{1}{10} \, a^{2} c^{2} d^{\frac{3}{2}} {\left(\frac{4 \, {\left(c^{2} x^{\frac{5}{2}} + 5 \, \sqrt{x}\right)}}{c^{4}} - \frac{10 \, \arctan\left(\sqrt{c} \sqrt{x}\right)}{c^{\frac{9}{2}}} + \frac{5 \, \log\left(\frac{c \sqrt{x} - \sqrt{c}}{c \sqrt{x} + \sqrt{c}}\right)}{c^{\frac{9}{2}}}\right)} + 10 \, a b c^{2} d^{\frac{3}{2}} \int \frac{x^{\frac{7}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{5 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x} + 4 \, b^{2} c d^{\frac{3}{2}} \int \frac{\sqrt{c x + 1} \sqrt{-c x + 1} x^{\frac{5}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{5 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x} - \frac{1}{2} \, a^{2} d^{\frac{3}{2}} {\left(\frac{4 \, \sqrt{x}}{c^{2}} - \frac{2 \, \arctan\left(\sqrt{c} \sqrt{x}\right)}{c^{\frac{5}{2}}} + \frac{\log\left(\frac{c \sqrt{x} - \sqrt{c}}{c \sqrt{x} + \sqrt{c}}\right)}{c^{\frac{5}{2}}}\right)} - 10 \, a b d^{\frac{3}{2}} \int \frac{x^{\frac{3}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{5 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x}"," ",0,"2/5*b^2*d^(3/2)*x^(5/2)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 1/10*a^2*c^2*d^(3/2)*(4*(c^2*x^(5/2) + 5*sqrt(x))/c^4 - 10*arctan(sqrt(c)*sqrt(x))/c^(9/2) + 5*log((c*sqrt(x) - sqrt(c))/(c*sqrt(x) + sqrt(c)))/c^(9/2)) + 10*a*b*c^2*d^(3/2)*integrate(1/5*x^(7/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*x^2 - 1), x) + 4*b^2*c*d^(3/2)*integrate(1/5*sqrt(c*x + 1)*sqrt(-c*x + 1)*x^(5/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*x^2 - 1), x) - 1/2*a^2*d^(3/2)*(4*sqrt(x)/c^2 - 2*arctan(sqrt(c)*sqrt(x))/c^(5/2) + log((c*sqrt(x) - sqrt(c))/(c*sqrt(x) + sqrt(c)))/c^(5/2)) - 10*a*b*d^(3/2)*integrate(1/5*x^(3/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*x^2 - 1), x)","F",0
211,0,0,0,0.000000," ","integrate((d*x)^(1/2)*(a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","\frac{2}{3} \, b^{2} \sqrt{d} x^{\frac{3}{2}} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2} + \frac{1}{6} \, a^{2} c^{2} \sqrt{d} {\left(\frac{4 \, x^{\frac{3}{2}}}{c^{2}} + \frac{6 \, \arctan\left(\sqrt{c} \sqrt{x}\right)}{c^{\frac{7}{2}}} + \frac{3 \, \log\left(\frac{c \sqrt{x} - \sqrt{c}}{c \sqrt{x} + \sqrt{c}}\right)}{c^{\frac{7}{2}}}\right)} + 6 \, a b c^{2} \sqrt{d} \int \frac{x^{\frac{5}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{3 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x} + 4 \, b^{2} c \sqrt{d} \int \frac{\sqrt{c x + 1} \sqrt{-c x + 1} x^{\frac{3}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{3 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x} - \frac{1}{2} \, a^{2} \sqrt{d} {\left(\frac{2 \, \arctan\left(\sqrt{c} \sqrt{x}\right)}{c^{\frac{3}{2}}} + \frac{\log\left(\frac{c \sqrt{x} - \sqrt{c}}{c \sqrt{x} + \sqrt{c}}\right)}{c^{\frac{3}{2}}}\right)} - 6 \, a b \sqrt{d} \int \frac{\sqrt{x} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{3 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x}"," ",0,"2/3*b^2*sqrt(d)*x^(3/2)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2 + 1/6*a^2*c^2*sqrt(d)*(4*x^(3/2)/c^2 + 6*arctan(sqrt(c)*sqrt(x))/c^(7/2) + 3*log((c*sqrt(x) - sqrt(c))/(c*sqrt(x) + sqrt(c)))/c^(7/2)) + 6*a*b*c^2*sqrt(d)*integrate(1/3*x^(5/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*x^2 - 1), x) + 4*b^2*c*sqrt(d)*integrate(1/3*sqrt(c*x + 1)*sqrt(-c*x + 1)*x^(3/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*x^2 - 1), x) - 1/2*a^2*sqrt(d)*(2*arctan(sqrt(c)*sqrt(x))/c^(3/2) + log((c*sqrt(x) - sqrt(c))/(c*sqrt(x) + sqrt(c)))/c^(3/2)) - 6*a*b*sqrt(d)*integrate(1/3*sqrt(x)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*x^2 - 1), x)","F",0
212,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(d*x)^(1/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
213,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(d*x)^(3/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
214,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(d*x)^(5/2),x, algorithm=""maxima"")","-\frac{{\left(3 \, a^{2} c^{2} \sqrt{d} {\left(\frac{2 \, \arctan\left(\sqrt{c} \sqrt{x}\right)}{\sqrt{c} d^{3}} - \frac{\log\left(\frac{c \sqrt{x} - \sqrt{c}}{c \sqrt{x} + \sqrt{c}}\right)}{\sqrt{c} d^{3}}\right)} - 12 \, a b c^{2} \sqrt{d} \int \frac{x^{\frac{5}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{c^{2} d^{3} x^{5} - d^{3} x^{3}}\,{d x} + 8 \, b^{2} c \sqrt{d} \int \frac{\sqrt{c x + 1} \sqrt{-c x + 1} x^{\frac{3}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{c^{2} d^{3} x^{5} - d^{3} x^{3}}\,{d x} - a^{2} \sqrt{d} {\left(\frac{6 \, c^{\frac{3}{2}} \arctan\left(\sqrt{c} \sqrt{x}\right)}{d^{3}} - \frac{3 \, c^{\frac{3}{2}} \log\left(\frac{c \sqrt{x} - \sqrt{c}}{c \sqrt{x} + \sqrt{c}}\right)}{d^{3}} - \frac{4}{d^{3} x^{\frac{3}{2}}}\right)} + 12 \, a b \sqrt{d} \int \frac{\sqrt{x} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{c^{2} d^{3} x^{5} - d^{3} x^{3}}\,{d x}\right)} d^{\frac{5}{2}} x^{\frac{3}{2}} + 4 \, b^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{2}}{6 \, d^{\frac{5}{2}} x^{\frac{3}{2}}}"," ",0,"-1/6*((3*a^2*c^2*sqrt(d)*(2*arctan(sqrt(c)*sqrt(x))/(sqrt(c)*d^3) - log((c*sqrt(x) - sqrt(c))/(c*sqrt(x) + sqrt(c)))/(sqrt(c)*d^3)) - 36*a*b*c^2*sqrt(d)*integrate(1/3*x^(5/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*d^3*x^5 - d^3*x^3), x) + 24*b^2*c*sqrt(d)*integrate(1/3*sqrt(c*x + 1)*sqrt(-c*x + 1)*x^(3/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*d^3*x^5 - d^3*x^3), x) - a^2*sqrt(d)*(6*c^(3/2)*arctan(sqrt(c)*sqrt(x))/d^3 - 3*c^(3/2)*log((c*sqrt(x) - sqrt(c))/(c*sqrt(x) + sqrt(c)))/d^3 - 4/(d^3*x^(3/2))) + 36*a*b*sqrt(d)*integrate(1/3*sqrt(x)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*d^3*x^5 - d^3*x^3), x))*d^(5/2)*x^(3/2) + 4*b^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^2)/(d^(5/2)*x^(3/2))","F",0
215,0,0,0,0.000000," ","integrate((d*x)^(3/2)*(a+b*arcsin(c*x))^3,x, algorithm=""maxima"")","\frac{2}{5} \, b^{3} d^{\frac{3}{2}} x^{\frac{5}{2}} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{3} + \frac{1}{10} \, a^{3} c^{2} d^{\frac{3}{2}} {\left(\frac{4 \, {\left(c^{2} x^{\frac{5}{2}} + 5 \, \sqrt{x}\right)}}{c^{4}} - \frac{10 \, \arctan\left(\sqrt{c} \sqrt{x}\right)}{c^{\frac{9}{2}}} + \frac{5 \, \log\left(\frac{c \sqrt{x} - \sqrt{c}}{c \sqrt{x} + \sqrt{c}}\right)}{c^{\frac{9}{2}}}\right)} + 15 \, a b^{2} c^{2} d^{\frac{3}{2}} \int \frac{x^{\frac{7}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)^{2}}{5 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x} + 15 \, a^{2} b c^{2} d^{\frac{3}{2}} \int \frac{x^{\frac{7}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{5 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x} + 6 \, b^{3} c d^{\frac{3}{2}} \int \frac{\sqrt{c x + 1} \sqrt{-c x + 1} x^{\frac{5}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)^{2}}{5 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x} - \frac{1}{2} \, a^{3} d^{\frac{3}{2}} {\left(\frac{4 \, \sqrt{x}}{c^{2}} - \frac{2 \, \arctan\left(\sqrt{c} \sqrt{x}\right)}{c^{\frac{5}{2}}} + \frac{\log\left(\frac{c \sqrt{x} - \sqrt{c}}{c \sqrt{x} + \sqrt{c}}\right)}{c^{\frac{5}{2}}}\right)} - 15 \, a b^{2} d^{\frac{3}{2}} \int \frac{x^{\frac{3}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)^{2}}{5 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x} - 15 \, a^{2} b d^{\frac{3}{2}} \int \frac{x^{\frac{3}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{5 \, {\left(c^{2} x^{2} - 1\right)}}\,{d x}"," ",0,"2/5*b^3*d^(3/2)*x^(5/2)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^3 + 1/10*a^3*c^2*d^(3/2)*(4*(c^2*x^(5/2) + 5*sqrt(x))/c^4 - 10*arctan(sqrt(c)*sqrt(x))/c^(9/2) + 5*log((c*sqrt(x) - sqrt(c))/(c*sqrt(x) + sqrt(c)))/c^(9/2)) + 15*a*b^2*c^2*d^(3/2)*integrate(1/5*x^(7/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))^2/(c^2*x^2 - 1), x) + 15*a^2*b*c^2*d^(3/2)*integrate(1/5*x^(7/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*x^2 - 1), x) + 6*b^3*c*d^(3/2)*integrate(1/5*sqrt(c*x + 1)*sqrt(-c*x + 1)*x^(5/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))^2/(c^2*x^2 - 1), x) - 1/2*a^3*d^(3/2)*(4*sqrt(x)/c^2 - 2*arctan(sqrt(c)*sqrt(x))/c^(5/2) + log((c*sqrt(x) - sqrt(c))/(c*sqrt(x) + sqrt(c)))/c^(5/2)) - 15*a*b^2*d^(3/2)*integrate(1/5*x^(3/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))^2/(c^2*x^2 - 1), x) - 15*a^2*b*d^(3/2)*integrate(1/5*x^(3/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*x^2 - 1), x)","F",0
216,0,0,0,0.000000," ","integrate((d*x)^(1/2)*(a+b*arcsin(c*x))^3,x, algorithm=""maxima"")","\frac{2}{3} \, b^{3} \sqrt{d} x^{\frac{3}{2}} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)^{3} + \frac{1}{6} \, a^{3} c^{2} \sqrt{d} {\left(\frac{4 \, x^{\frac{3}{2}}}{c^{2}} + \frac{6 \, \arctan\left(\sqrt{c} \sqrt{x}\right)}{c^{\frac{7}{2}}} + \frac{3 \, \log\left(\frac{c \sqrt{x} - \sqrt{c}}{c \sqrt{x} + \sqrt{c}}\right)}{c^{\frac{7}{2}}}\right)} + 3 \, a b^{2} c^{2} \sqrt{d} \int \frac{x^{\frac{5}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)^{2}}{c^{2} x^{2} - 1}\,{d x} + 3 \, a^{2} b c^{2} \sqrt{d} \int \frac{x^{\frac{5}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{c^{2} x^{2} - 1}\,{d x} + 2 \, b^{3} c \sqrt{d} \int \frac{\sqrt{c x + 1} \sqrt{-c x + 1} x^{\frac{3}{2}} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)^{2}}{c^{2} x^{2} - 1}\,{d x} - \frac{1}{2} \, a^{3} \sqrt{d} {\left(\frac{2 \, \arctan\left(\sqrt{c} \sqrt{x}\right)}{c^{\frac{3}{2}}} + \frac{\log\left(\frac{c \sqrt{x} - \sqrt{c}}{c \sqrt{x} + \sqrt{c}}\right)}{c^{\frac{3}{2}}}\right)} - 3 \, a b^{2} \sqrt{d} \int \frac{\sqrt{x} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)^{2}}{c^{2} x^{2} - 1}\,{d x} - 3 \, a^{2} b \sqrt{d} \int \frac{\sqrt{x} \arctan\left(\frac{c x}{\sqrt{c x + 1} \sqrt{-c x + 1}}\right)}{c^{2} x^{2} - 1}\,{d x}"," ",0,"2/3*b^3*sqrt(d)*x^(3/2)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))^3 + 1/6*a^3*c^2*sqrt(d)*(4*x^(3/2)/c^2 + 6*arctan(sqrt(c)*sqrt(x))/c^(7/2) + 3*log((c*sqrt(x) - sqrt(c))/(c*sqrt(x) + sqrt(c)))/c^(7/2)) + 3*a*b^2*c^2*sqrt(d)*integrate(x^(5/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))^2/(c^2*x^2 - 1), x) + 3*a^2*b*c^2*sqrt(d)*integrate(x^(5/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*x^2 - 1), x) + 2*b^3*c*sqrt(d)*integrate(sqrt(c*x + 1)*sqrt(-c*x + 1)*x^(3/2)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))^2/(c^2*x^2 - 1), x) - 1/2*a^3*sqrt(d)*(2*arctan(sqrt(c)*sqrt(x))/c^(3/2) + log((c*sqrt(x) - sqrt(c))/(c*sqrt(x) + sqrt(c)))/c^(3/2)) - 3*a*b^2*sqrt(d)*integrate(sqrt(x)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))^2/(c^2*x^2 - 1), x) - 3*a^2*b*sqrt(d)*integrate(sqrt(x)*arctan(c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)))/(c^2*x^2 - 1), x)","F",0
217,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^3/(d*x)^(1/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
218,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^3/(d*x)^(3/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
219,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^3/(d*x)^(5/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
220,0,0,0,0.000000," ","integrate((d*x)^(3/2)/(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{\frac{3}{2}}}{b \arcsin\left(c x\right) + a}\,{d x}"," ",0,"integrate((d*x)^(3/2)/(b*arcsin(c*x) + a), x)","F",0
221,0,0,0,0.000000," ","integrate((d*x)^(1/2)/(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\int \frac{\sqrt{d x}}{b \arcsin\left(c x\right) + a}\,{d x}"," ",0,"integrate(sqrt(d*x)/(b*arcsin(c*x) + a), x)","F",0
222,0,0,0,0.000000," ","integrate(1/(d*x)^(1/2)/(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d x} {\left(b \arcsin\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x)*(b*arcsin(c*x) + a)), x)","F",0
223,0,0,0,0.000000," ","integrate(1/(d*x)^(3/2)/(a+b*arcsin(c*x)),x, algorithm=""maxima"")","\int \frac{1}{\left(d x\right)^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x)^(3/2)*(b*arcsin(c*x) + a)), x)","F",0
224,0,0,0,0.000000," ","integrate((d*x)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","-\frac{\sqrt{c x + 1} \sqrt{-c x + 1} d^{\frac{3}{2}} x^{\frac{3}{2}} - \frac{1}{2} \, {\left(b^{2} c \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a b c\right)} \sqrt{d} \int \frac{{\left(5 \, c^{2} d x^{2} - 3 \, d\right)} \sqrt{c x + 1} \sqrt{-c x + 1} \sqrt{x}}{a b c^{3} x^{2} - a b c + {\left(b^{2} c^{3} x^{2} - b^{2} c\right)} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)}\,{d x}}{b^{2} c \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a b c}"," ",0,"-(sqrt(c*x + 1)*sqrt(-c*x + 1)*d^(3/2)*x^(3/2) - (b^2*c*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a*b*c)*sqrt(d)*integrate(1/2*(5*c^2*d*x^2 - 3*d)*sqrt(c*x + 1)*sqrt(-c*x + 1)*sqrt(x)/(a*b*c^3*x^2 - a*b*c + (b^2*c^3*x^2 - b^2*c)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))), x))/(b^2*c*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a*b*c)","F",0
225,0,0,0,0.000000," ","integrate((d*x)^(1/2)/(a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","\frac{\frac{1}{2} \, {\left(b^{2} c \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a b c\right)} \sqrt{d} \int \frac{{\left(3 \, c^{2} x^{2} - 1\right)} \sqrt{c x + 1} \sqrt{-c x + 1} \sqrt{x}}{a b c^{3} x^{3} - a b c x + {\left(b^{2} c^{3} x^{3} - b^{2} c x\right)} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)}\,{d x} - \sqrt{c x + 1} \sqrt{-c x + 1} \sqrt{d} \sqrt{x}}{b^{2} c \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a b c}"," ",0,"((b^2*c*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a*b*c)*sqrt(d)*integrate(1/2*(3*c^2*x^2 - 1)*sqrt(c*x + 1)*sqrt(-c*x + 1)*sqrt(x)/(a*b*c^3*x^3 - a*b*c*x + (b^2*c^3*x^3 - b^2*c*x)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))), x) - sqrt(c*x + 1)*sqrt(-c*x + 1)*sqrt(d)*sqrt(x))/(b^2*c*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a*b*c)","F",0
226,0,0,0,0.000000," ","integrate(1/(d*x)^(1/2)/(a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","\frac{\frac{1}{2} \, {\left(b^{2} c d x \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a b c d x\right)} \sqrt{d} \int \frac{{\left(c^{2} x^{2} + 1\right)} \sqrt{c x + 1} \sqrt{-c x + 1} \sqrt{x}}{a b c^{3} d x^{4} - a b c d x^{2} + {\left(b^{2} c^{3} d x^{4} - b^{2} c d x^{2}\right)} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)}\,{d x} - \sqrt{c x + 1} \sqrt{-c x + 1} \sqrt{d} \sqrt{x}}{b^{2} c d x \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a b c d x}"," ",0,"((b^2*c*d*x*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a*b*c*d*x)*sqrt(d)*integrate(1/2*(c^2*x^2 + 1)*sqrt(c*x + 1)*sqrt(-c*x + 1)*sqrt(x)/(a*b*c^3*d*x^4 - a*b*c*d*x^2 + (b^2*c^3*d*x^4 - b^2*c*d*x^2)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))), x) - sqrt(c*x + 1)*sqrt(-c*x + 1)*sqrt(d)*sqrt(x))/(b^2*c*d*x*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a*b*c*d*x)","F",0
227,0,0,0,0.000000," ","integrate(1/(d*x)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""maxima"")","-\frac{\frac{1}{2} \, {\left(b^{2} c d^{2} x^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a b c d^{2} x^{2}\right)} \sqrt{d} \int \frac{{\left(c^{2} x^{2} - 3\right)} \sqrt{c x + 1} \sqrt{-c x + 1} \sqrt{x}}{a b c^{3} d^{2} x^{5} - a b c d^{2} x^{3} + {\left(b^{2} c^{3} d^{2} x^{5} - b^{2} c d^{2} x^{3}\right)} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right)}\,{d x} + \sqrt{c x + 1} \sqrt{-c x + 1} \sqrt{d} \sqrt{x}}{b^{2} c d^{2} x^{2} \arctan\left(c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right) + a b c d^{2} x^{2}}"," ",0,"-((b^2*c*d^2*x^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a*b*c*d^2*x^2)*sqrt(d)*integrate(1/2*(c^2*x^2 - 3)*sqrt(c*x + 1)*sqrt(-c*x + 1)*sqrt(x)/(a*b*c^3*d^2*x^5 - a*b*c*d^2*x^3 + (b^2*c^3*d^2*x^5 - b^2*c*d^2*x^3)*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1))), x) + sqrt(c*x + 1)*sqrt(-c*x + 1)*sqrt(d)*sqrt(x))/(b^2*c*d^2*x^2*arctan2(c*x, sqrt(c*x + 1)*sqrt(-c*x + 1)) + a*b*c*d^2*x^2)","F",0
