1,1,113,0,0.370229," ","integrate(x^4*arcsin(a*x),x, algorithm=""giac"")","\frac{{\left(a^{2} x^{2} - 1\right)}^{2} x \arcsin\left(a x\right)}{5 \, a^{4}} + \frac{2 \, {\left(a^{2} x^{2} - 1\right)} x \arcsin\left(a x\right)}{5 \, a^{4}} + \frac{x \arcsin\left(a x\right)}{5 \, a^{4}} + \frac{{\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1}}{25 \, a^{5}} - \frac{2 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{15 \, a^{5}} + \frac{\sqrt{-a^{2} x^{2} + 1}}{5 \, a^{5}}"," ",0,"1/5*(a^2*x^2 - 1)^2*x*arcsin(a*x)/a^4 + 2/5*(a^2*x^2 - 1)*x*arcsin(a*x)/a^4 + 1/5*x*arcsin(a*x)/a^4 + 1/25*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)/a^5 - 2/15*(-a^2*x^2 + 1)^(3/2)/a^5 + 1/5*sqrt(-a^2*x^2 + 1)/a^5","A",0
2,1,84,0,0.169899," ","integrate(x^3*arcsin(a*x),x, algorithm=""giac"")","-\frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x}{16 \, a^{3}} + \frac{{\left(a^{2} x^{2} - 1\right)}^{2} \arcsin\left(a x\right)}{4 \, a^{4}} + \frac{5 \, \sqrt{-a^{2} x^{2} + 1} x}{32 \, a^{3}} + \frac{{\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)}{2 \, a^{4}} + \frac{5 \, \arcsin\left(a x\right)}{32 \, a^{4}}"," ",0,"-1/16*(-a^2*x^2 + 1)^(3/2)*x/a^3 + 1/4*(a^2*x^2 - 1)^2*arcsin(a*x)/a^4 + 5/32*sqrt(-a^2*x^2 + 1)*x/a^3 + 1/2*(a^2*x^2 - 1)*arcsin(a*x)/a^4 + 5/32*arcsin(a*x)/a^4","A",0
3,1,64,0,0.169213," ","integrate(x^2*arcsin(a*x),x, algorithm=""giac"")","\frac{{\left(a^{2} x^{2} - 1\right)} x \arcsin\left(a x\right)}{3 \, a^{2}} + \frac{x \arcsin\left(a x\right)}{3 \, a^{2}} - \frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{9 \, a^{3}} + \frac{\sqrt{-a^{2} x^{2} + 1}}{3 \, a^{3}}"," ",0,"1/3*(a^2*x^2 - 1)*x*arcsin(a*x)/a^2 + 1/3*x*arcsin(a*x)/a^2 - 1/9*(-a^2*x^2 + 1)^(3/2)/a^3 + 1/3*sqrt(-a^2*x^2 + 1)/a^3","A",0
4,1,46,0,0.123545," ","integrate(x*arcsin(a*x),x, algorithm=""giac"")","\frac{\sqrt{-a^{2} x^{2} + 1} x}{4 \, a} + \frac{{\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)}{2 \, a^{2}} + \frac{\arcsin\left(a x\right)}{4 \, a^{2}}"," ",0,"1/4*sqrt(-a^2*x^2 + 1)*x/a + 1/2*(a^2*x^2 - 1)*arcsin(a*x)/a^2 + 1/4*arcsin(a*x)/a^2","A",0
5,1,24,0,0.130702," ","integrate(arcsin(a*x),x, algorithm=""giac"")","\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=""giac"")","\int \frac{\arcsin\left(a x\right)}{x}\,{d x}"," ",0,"integrate(arcsin(a*x)/x, x)","F",0
7,1,48,0,0.150837," ","integrate(arcsin(a*x)/x^2,x, algorithm=""giac"")","-\frac{1}{2} \, a {\left(\log\left(\sqrt{-a^{2} x^{2} + 1} + 1\right) - \log\left(-\sqrt{-a^{2} x^{2} + 1} + 1\right)\right)} - \frac{\arcsin\left(a x\right)}{x}"," ",0,"-1/2*a*(log(sqrt(-a^2*x^2 + 1) + 1) - log(-sqrt(-a^2*x^2 + 1) + 1)) - arcsin(a*x)/x","A",0
8,1,68,0,0.205225," ","integrate(arcsin(a*x)/x^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(\frac{a^{4} x}{{\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)} {\left| a \right|}} - \frac{\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a}{x {\left| a \right|}}\right)} a - \frac{\arcsin\left(a x\right)}{2 \, x^{2}}"," ",0,"1/4*(a^4*x/((sqrt(-a^2*x^2 + 1)*abs(a) + a)*abs(a)) - (sqrt(-a^2*x^2 + 1)*abs(a) + a)/(x*abs(a)))*a - 1/2*arcsin(a*x)/x^2","B",0
9,1,77,0,0.148366," ","integrate(arcsin(a*x)/x^4,x, algorithm=""giac"")","-\frac{a^{4} \log\left(\sqrt{-a^{2} x^{2} + 1} + 1\right) - a^{4} \log\left(-\sqrt{-a^{2} x^{2} + 1} + 1\right) + \frac{2 \, \sqrt{-a^{2} x^{2} + 1} a^{2}}{x^{2}}}{12 \, a} - \frac{\arcsin\left(a x\right)}{3 \, x^{3}}"," ",0,"-1/12*(a^4*log(sqrt(-a^2*x^2 + 1) + 1) - a^4*log(-sqrt(-a^2*x^2 + 1) + 1) + 2*sqrt(-a^2*x^2 + 1)*a^2/x^2)/a - 1/3*arcsin(a*x)/x^3","A",0
10,1,130,0,0.180972," ","integrate(arcsin(a*x)/x^5,x, algorithm=""giac"")","\frac{1}{96} \, {\left(\frac{{\left(a^{4} + \frac{9 \, {\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{2}}{x^{2}}\right)} a^{6} x^{3}}{{\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{3} {\left| a \right|}} - \frac{\frac{9 \, {\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)} a^{4}}{x} + \frac{{\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{3}}{x^{3}}}{a^{2} {\left| a \right|}}\right)} a - \frac{\arcsin\left(a x\right)}{4 \, x^{4}}"," ",0,"1/96*((a^4 + 9*(sqrt(-a^2*x^2 + 1)*abs(a) + a)^2/x^2)*a^6*x^3/((sqrt(-a^2*x^2 + 1)*abs(a) + a)^3*abs(a)) - (9*(sqrt(-a^2*x^2 + 1)*abs(a) + a)*a^4/x + (sqrt(-a^2*x^2 + 1)*abs(a) + a)^3/x^3)/(a^2*abs(a)))*a - 1/4*arcsin(a*x)/x^4","B",0
11,1,101,0,0.142453," ","integrate(arcsin(a*x)/x^6,x, algorithm=""giac"")","-\frac{3 \, a^{6} \log\left(\sqrt{-a^{2} x^{2} + 1} + 1\right) - 3 \, a^{6} \log\left(-\sqrt{-a^{2} x^{2} + 1} + 1\right) - \frac{2 \, {\left(3 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} a^{6} - 5 \, \sqrt{-a^{2} x^{2} + 1} a^{6}\right)}}{a^{4} x^{4}}}{80 \, a} - \frac{\arcsin\left(a x\right)}{5 \, x^{5}}"," ",0,"-1/80*(3*a^6*log(sqrt(-a^2*x^2 + 1) + 1) - 3*a^6*log(-sqrt(-a^2*x^2 + 1) + 1) - 2*(3*(-a^2*x^2 + 1)^(3/2)*a^6 - 5*sqrt(-a^2*x^2 + 1)*a^6)/(a^4*x^4))/a - 1/5*arcsin(a*x)/x^5","A",0
12,1,169,0,0.189033," ","integrate(x^4*arcsin(a*x)^2,x, algorithm=""giac"")","\frac{{\left(a^{2} x^{2} - 1\right)}^{2} x \arcsin\left(a x\right)^{2}}{5 \, a^{4}} + \frac{2 \, {\left(a^{2} x^{2} - 1\right)} x \arcsin\left(a x\right)^{2}}{5 \, a^{4}} - \frac{2 \, {\left(a^{2} x^{2} - 1\right)}^{2} x}{125 \, a^{4}} + \frac{x \arcsin\left(a x\right)^{2}}{5 \, a^{4}} + \frac{2 \, {\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)}{25 \, a^{5}} - \frac{76 \, {\left(a^{2} x^{2} - 1\right)} x}{1125 \, a^{4}} - \frac{4 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} \arcsin\left(a x\right)}{15 \, a^{5}} - \frac{298 \, x}{1125 \, a^{4}} + \frac{2 \, \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)}{5 \, a^{5}}"," ",0,"1/5*(a^2*x^2 - 1)^2*x*arcsin(a*x)^2/a^4 + 2/5*(a^2*x^2 - 1)*x*arcsin(a*x)^2/a^4 - 2/125*(a^2*x^2 - 1)^2*x/a^4 + 1/5*x*arcsin(a*x)^2/a^4 + 2/25*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)*arcsin(a*x)/a^5 - 76/1125*(a^2*x^2 - 1)*x/a^4 - 4/15*(-a^2*x^2 + 1)^(3/2)*arcsin(a*x)/a^5 - 298/1125*x/a^4 + 2/5*sqrt(-a^2*x^2 + 1)*arcsin(a*x)/a^5","A",0
13,1,133,0,0.158440," ","integrate(x^3*arcsin(a*x)^2,x, algorithm=""giac"")","-\frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x \arcsin\left(a x\right)}{8 \, a^{3}} + \frac{{\left(a^{2} x^{2} - 1\right)}^{2} \arcsin\left(a x\right)^{2}}{4 \, a^{4}} + \frac{5 \, \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)}{16 \, a^{3}} + \frac{{\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)^{2}}{2 \, a^{4}} - \frac{{\left(a^{2} x^{2} - 1\right)}^{2}}{32 \, a^{4}} + \frac{5 \, \arcsin\left(a x\right)^{2}}{32 \, a^{4}} - \frac{5 \, {\left(a^{2} x^{2} - 1\right)}}{32 \, a^{4}} - \frac{17}{256 \, a^{4}}"," ",0,"-1/8*(-a^2*x^2 + 1)^(3/2)*x*arcsin(a*x)/a^3 + 1/4*(a^2*x^2 - 1)^2*arcsin(a*x)^2/a^4 + 5/16*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)/a^3 + 1/2*(a^2*x^2 - 1)*arcsin(a*x)^2/a^4 - 1/32*(a^2*x^2 - 1)^2/a^4 + 5/32*arcsin(a*x)^2/a^4 - 5/32*(a^2*x^2 - 1)/a^4 - 17/256/a^4","A",0
14,1,97,0,0.141917," ","integrate(x^2*arcsin(a*x)^2,x, algorithm=""giac"")","\frac{{\left(a^{2} x^{2} - 1\right)} x \arcsin\left(a x\right)^{2}}{3 \, a^{2}} + \frac{x \arcsin\left(a x\right)^{2}}{3 \, a^{2}} - \frac{2 \, {\left(a^{2} x^{2} - 1\right)} x}{27 \, a^{2}} - \frac{2 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} \arcsin\left(a x\right)}{9 \, a^{3}} - \frac{14 \, x}{27 \, a^{2}} + \frac{2 \, \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)}{3 \, a^{3}}"," ",0,"1/3*(a^2*x^2 - 1)*x*arcsin(a*x)^2/a^2 + 1/3*x*arcsin(a*x)^2/a^2 - 2/27*(a^2*x^2 - 1)*x/a^2 - 2/9*(-a^2*x^2 + 1)^(3/2)*arcsin(a*x)/a^3 - 14/27*x/a^2 + 2/3*sqrt(-a^2*x^2 + 1)*arcsin(a*x)/a^3","A",0
15,1,73,0,0.151745," ","integrate(x*arcsin(a*x)^2,x, algorithm=""giac"")","\frac{\sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)}{2 \, a} + \frac{{\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)^{2}}{2 \, a^{2}} + \frac{\arcsin\left(a x\right)^{2}}{4 \, a^{2}} - \frac{a^{2} x^{2} - 1}{4 \, a^{2}} - \frac{1}{8 \, a^{2}}"," ",0,"1/2*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)/a + 1/2*(a^2*x^2 - 1)*arcsin(a*x)^2/a^2 + 1/4*arcsin(a*x)^2/a^2 - 1/4*(a^2*x^2 - 1)/a^2 - 1/8/a^2","A",0
16,1,33,0,0.123158," ","integrate(arcsin(a*x)^2,x, algorithm=""giac"")","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=""giac"")","\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=""giac"")","\int \frac{\arcsin\left(a x\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(arcsin(a*x)^2/x^2, x)","F",0
19,1,82,0,0.179439," ","integrate(arcsin(a*x)^2/x^3,x, algorithm=""giac"")","\frac{1}{2} \, {\left({\left(\frac{a^{4} x}{{\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)} {\left| a \right|}} - \frac{\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a}{x {\left| a \right|}}\right)} \arcsin\left(a x\right) + 2 \, a \log\left({\left| x \right|}\right)\right)} a - \frac{\arcsin\left(a x\right)^{2}}{2 \, x^{2}}"," ",0,"1/2*((a^4*x/((sqrt(-a^2*x^2 + 1)*abs(a) + a)*abs(a)) - (sqrt(-a^2*x^2 + 1)*abs(a) + a)/(x*abs(a)))*arcsin(a*x) + 2*a*log(abs(x)))*a - 1/2*arcsin(a*x)^2/x^2","B",0
20,0,0,0,0.000000," ","integrate(arcsin(a*x)^2/x^4,x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{2}}{x^{4}}\,{d x}"," ",0,"integrate(arcsin(a*x)^2/x^4, x)","F",0
21,1,185,0,0.775374," ","integrate(arcsin(a*x)^2/x^5,x, algorithm=""giac"")","\frac{1}{48} \, {\left({\left(\frac{{\left(a^{4} + \frac{9 \, {\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{2}}{x^{2}}\right)} a^{6} x^{3}}{{\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{3} {\left| a \right|}} - \frac{\frac{9 \, {\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)} a^{4}}{x} + \frac{{\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{3}}{x^{3}}}{a^{2} {\left| a \right|}}\right)} \arcsin\left(a x\right) + \frac{4 \, {\left(2 \, a^{4} \log\left(a^{2} x^{2}\right) - \frac{2 \, {\left(a^{2} x^{2} - 1\right)} a^{4} + 3 \, a^{4}}{a^{2} x^{2}}\right)}}{a}\right)} a - \frac{\arcsin\left(a x\right)^{2}}{4 \, x^{4}}"," ",0,"1/48*(((a^4 + 9*(sqrt(-a^2*x^2 + 1)*abs(a) + a)^2/x^2)*a^6*x^3/((sqrt(-a^2*x^2 + 1)*abs(a) + a)^3*abs(a)) - (9*(sqrt(-a^2*x^2 + 1)*abs(a) + a)*a^4/x + (sqrt(-a^2*x^2 + 1)*abs(a) + a)^3/x^3)/(a^2*abs(a)))*arcsin(a*x) + 4*(2*a^4*log(a^2*x^2) - (2*(a^2*x^2 - 1)*a^4 + 3*a^4)/(a^2*x^2))/a)*a - 1/4*arcsin(a*x)^2/x^4","B",0
22,1,249,0,0.183594," ","integrate(x^4*arcsin(a*x)^3,x, algorithm=""giac"")","\frac{{\left(a^{2} x^{2} - 1\right)}^{2} x \arcsin\left(a x\right)^{3}}{5 \, a^{4}} + \frac{2 \, {\left(a^{2} x^{2} - 1\right)} x \arcsin\left(a x\right)^{3}}{5 \, a^{4}} - \frac{6 \, {\left(a^{2} x^{2} - 1\right)}^{2} x \arcsin\left(a x\right)}{125 \, a^{4}} + \frac{x \arcsin\left(a x\right)^{3}}{5 \, a^{4}} + \frac{3 \, {\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)^{2}}{25 \, a^{5}} - \frac{76 \, {\left(a^{2} x^{2} - 1\right)} x \arcsin\left(a x\right)}{375 \, a^{4}} - \frac{2 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} \arcsin\left(a x\right)^{2}}{5 \, a^{5}} - \frac{298 \, x \arcsin\left(a x\right)}{375 \, a^{4}} - \frac{6 \, {\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1}}{625 \, a^{5}} + \frac{3 \, \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)^{2}}{5 \, a^{5}} + \frac{76 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{1125 \, a^{5}} - \frac{298 \, \sqrt{-a^{2} x^{2} + 1}}{375 \, a^{5}}"," ",0,"1/5*(a^2*x^2 - 1)^2*x*arcsin(a*x)^3/a^4 + 2/5*(a^2*x^2 - 1)*x*arcsin(a*x)^3/a^4 - 6/125*(a^2*x^2 - 1)^2*x*arcsin(a*x)/a^4 + 1/5*x*arcsin(a*x)^3/a^4 + 3/25*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)*arcsin(a*x)^2/a^5 - 76/375*(a^2*x^2 - 1)*x*arcsin(a*x)/a^4 - 2/5*(-a^2*x^2 + 1)^(3/2)*arcsin(a*x)^2/a^5 - 298/375*x*arcsin(a*x)/a^4 - 6/625*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)/a^5 + 3/5*sqrt(-a^2*x^2 + 1)*arcsin(a*x)^2/a^5 + 76/1125*(-a^2*x^2 + 1)^(3/2)/a^5 - 298/375*sqrt(-a^2*x^2 + 1)/a^5","A",0
23,1,185,0,0.195916," ","integrate(x^3*arcsin(a*x)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x \arcsin\left(a x\right)^{2}}{16 \, a^{3}} + \frac{{\left(a^{2} x^{2} - 1\right)}^{2} \arcsin\left(a x\right)^{3}}{4 \, a^{4}} + \frac{15 \, \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)^{2}}{32 \, a^{3}} + \frac{{\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)^{3}}{2 \, a^{4}} + \frac{3 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x}{128 \, a^{3}} - \frac{3 \, {\left(a^{2} x^{2} - 1\right)}^{2} \arcsin\left(a x\right)}{32 \, a^{4}} + \frac{5 \, \arcsin\left(a x\right)^{3}}{32 \, a^{4}} - \frac{51 \, \sqrt{-a^{2} x^{2} + 1} x}{256 \, a^{3}} - \frac{15 \, {\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)}{32 \, a^{4}} - \frac{51 \, \arcsin\left(a x\right)}{256 \, a^{4}}"," ",0,"-3/16*(-a^2*x^2 + 1)^(3/2)*x*arcsin(a*x)^2/a^3 + 1/4*(a^2*x^2 - 1)^2*arcsin(a*x)^3/a^4 + 15/32*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)^2/a^3 + 1/2*(a^2*x^2 - 1)*arcsin(a*x)^3/a^4 + 3/128*(-a^2*x^2 + 1)^(3/2)*x/a^3 - 3/32*(a^2*x^2 - 1)^2*arcsin(a*x)/a^4 + 5/32*arcsin(a*x)^3/a^4 - 51/256*sqrt(-a^2*x^2 + 1)*x/a^3 - 15/32*(a^2*x^2 - 1)*arcsin(a*x)/a^4 - 51/256*arcsin(a*x)/a^4","A",0
24,1,142,0,0.225317," ","integrate(x^2*arcsin(a*x)^3,x, algorithm=""giac"")","\frac{{\left(a^{2} x^{2} - 1\right)} x \arcsin\left(a x\right)^{3}}{3 \, a^{2}} + \frac{x \arcsin\left(a x\right)^{3}}{3 \, a^{2}} - \frac{2 \, {\left(a^{2} x^{2} - 1\right)} x \arcsin\left(a x\right)}{9 \, a^{2}} - \frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} \arcsin\left(a x\right)^{2}}{3 \, a^{3}} - \frac{14 \, x \arcsin\left(a x\right)}{9 \, a^{2}} + \frac{\sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)^{2}}{a^{3}} + \frac{2 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{27 \, a^{3}} - \frac{14 \, \sqrt{-a^{2} x^{2} + 1}}{9 \, a^{3}}"," ",0,"1/3*(a^2*x^2 - 1)*x*arcsin(a*x)^3/a^2 + 1/3*x*arcsin(a*x)^3/a^2 - 2/9*(a^2*x^2 - 1)*x*arcsin(a*x)/a^2 - 1/3*(-a^2*x^2 + 1)^(3/2)*arcsin(a*x)^2/a^3 - 14/9*x*arcsin(a*x)/a^2 + sqrt(-a^2*x^2 + 1)*arcsin(a*x)^2/a^3 + 2/27*(-a^2*x^2 + 1)^(3/2)/a^3 - 14/9*sqrt(-a^2*x^2 + 1)/a^3","A",0
25,1,101,0,0.141199," ","integrate(x*arcsin(a*x)^3,x, algorithm=""giac"")","\frac{3 \, \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)^{2}}{4 \, a} + \frac{{\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)^{3}}{2 \, a^{2}} + \frac{\arcsin\left(a x\right)^{3}}{4 \, a^{2}} - \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x}{8 \, a} - \frac{3 \, {\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)}{4 \, a^{2}} - \frac{3 \, \arcsin\left(a x\right)}{8 \, a^{2}}"," ",0,"3/4*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)^2/a + 1/2*(a^2*x^2 - 1)*arcsin(a*x)^3/a^2 + 1/4*arcsin(a*x)^3/a^2 - 3/8*sqrt(-a^2*x^2 + 1)*x/a - 3/4*(a^2*x^2 - 1)*arcsin(a*x)/a^2 - 3/8*arcsin(a*x)/a^2","A",0
26,1,56,0,0.142893," ","integrate(arcsin(a*x)^3,x, algorithm=""giac"")","x \arcsin\left(a x\right)^{3} - 6 \, x \arcsin\left(a x\right) + \frac{3 \, \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)^{2}}{a} - \frac{6 \, \sqrt{-a^{2} x^{2} + 1}}{a}"," ",0,"x*arcsin(a*x)^3 - 6*x*arcsin(a*x) + 3*sqrt(-a^2*x^2 + 1)*arcsin(a*x)^2/a - 6*sqrt(-a^2*x^2 + 1)/a","A",0
27,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/x,x, algorithm=""giac"")","\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=""giac"")","\int \frac{\arcsin\left(a x\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(arcsin(a*x)^3/x^2, x)","F",0
29,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/x^3,x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{3}}{x^{3}}\,{d x}"," ",0,"integrate(arcsin(a*x)^3/x^3, x)","F",0
30,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/x^4,x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{3}}{x^{4}}\,{d x}"," ",0,"integrate(arcsin(a*x)^3/x^4, x)","F",0
31,-2,0,0,0.000000," ","integrate(arcsin(a*x)^3/x^5,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.75sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
32,1,362,0,0.152172," ","integrate(x^5*arcsin(a*x)^4,x, algorithm=""giac"")","\frac{{\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)^{3}}{9 \, a^{5}} + \frac{{\left(a^{2} x^{2} - 1\right)}^{3} \arcsin\left(a x\right)^{4}}{6 \, a^{6}} - \frac{13 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x \arcsin\left(a x\right)^{3}}{36 \, a^{5}} + \frac{{\left(a^{2} x^{2} - 1\right)}^{2} \arcsin\left(a x\right)^{4}}{2 \, a^{6}} - \frac{{\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)}{54 \, a^{5}} + \frac{11 \, \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)^{3}}{24 \, a^{5}} - \frac{{\left(a^{2} x^{2} - 1\right)}^{3} \arcsin\left(a x\right)^{2}}{18 \, a^{6}} + \frac{{\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)^{4}}{2 \, a^{6}} + \frac{97 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x \arcsin\left(a x\right)}{864 \, a^{5}} - \frac{13 \, {\left(a^{2} x^{2} - 1\right)}^{2} \arcsin\left(a x\right)^{2}}{48 \, a^{6}} + \frac{11 \, \arcsin\left(a x\right)^{4}}{96 \, a^{6}} - \frac{299 \, \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)}{576 \, a^{5}} + \frac{{\left(a^{2} x^{2} - 1\right)}^{3}}{324 \, a^{6}} - \frac{11 \, {\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)^{2}}{16 \, a^{6}} + \frac{97 \, {\left(a^{2} x^{2} - 1\right)}^{2}}{3456 \, a^{6}} - \frac{299 \, \arcsin\left(a x\right)^{2}}{1152 \, a^{6}} + \frac{299 \, {\left(a^{2} x^{2} - 1\right)}}{1152 \, a^{6}} + \frac{9971}{82944 \, a^{6}}"," ",0,"1/9*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)^3/a^5 + 1/6*(a^2*x^2 - 1)^3*arcsin(a*x)^4/a^6 - 13/36*(-a^2*x^2 + 1)^(3/2)*x*arcsin(a*x)^3/a^5 + 1/2*(a^2*x^2 - 1)^2*arcsin(a*x)^4/a^6 - 1/54*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)/a^5 + 11/24*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)^3/a^5 - 1/18*(a^2*x^2 - 1)^3*arcsin(a*x)^2/a^6 + 1/2*(a^2*x^2 - 1)*arcsin(a*x)^4/a^6 + 97/864*(-a^2*x^2 + 1)^(3/2)*x*arcsin(a*x)/a^5 - 13/48*(a^2*x^2 - 1)^2*arcsin(a*x)^2/a^6 + 11/96*arcsin(a*x)^4/a^6 - 299/576*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)/a^5 + 1/324*(a^2*x^2 - 1)^3/a^6 - 11/16*(a^2*x^2 - 1)*arcsin(a*x)^2/a^6 + 97/3456*(a^2*x^2 - 1)^2/a^6 - 299/1152*arcsin(a*x)^2/a^6 + 299/1152*(a^2*x^2 - 1)/a^6 + 9971/82944/a^6","A",0
33,1,305,0,0.148394," ","integrate(x^4*arcsin(a*x)^4,x, algorithm=""giac"")","\frac{{\left(a^{2} x^{2} - 1\right)}^{2} x \arcsin\left(a x\right)^{4}}{5 \, a^{4}} + \frac{2 \, {\left(a^{2} x^{2} - 1\right)} x \arcsin\left(a x\right)^{4}}{5 \, a^{4}} - \frac{12 \, {\left(a^{2} x^{2} - 1\right)}^{2} x \arcsin\left(a x\right)^{2}}{125 \, a^{4}} + \frac{x \arcsin\left(a x\right)^{4}}{5 \, a^{4}} + \frac{4 \, {\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)^{3}}{25 \, a^{5}} - \frac{152 \, {\left(a^{2} x^{2} - 1\right)} x \arcsin\left(a x\right)^{2}}{375 \, a^{4}} - \frac{8 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} \arcsin\left(a x\right)^{3}}{15 \, a^{5}} + \frac{24 \, {\left(a^{2} x^{2} - 1\right)}^{2} x}{3125 \, a^{4}} - \frac{596 \, x \arcsin\left(a x\right)^{2}}{375 \, a^{4}} - \frac{24 \, {\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)}{625 \, a^{5}} + \frac{4 \, \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)^{3}}{5 \, a^{5}} + \frac{6736 \, {\left(a^{2} x^{2} - 1\right)} x}{84375 \, a^{4}} + \frac{304 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} \arcsin\left(a x\right)}{1125 \, a^{5}} + \frac{254728 \, x}{84375 \, a^{4}} - \frac{1192 \, \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)}{375 \, a^{5}}"," ",0,"1/5*(a^2*x^2 - 1)^2*x*arcsin(a*x)^4/a^4 + 2/5*(a^2*x^2 - 1)*x*arcsin(a*x)^4/a^4 - 12/125*(a^2*x^2 - 1)^2*x*arcsin(a*x)^2/a^4 + 1/5*x*arcsin(a*x)^4/a^4 + 4/25*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)*arcsin(a*x)^3/a^5 - 152/375*(a^2*x^2 - 1)*x*arcsin(a*x)^2/a^4 - 8/15*(-a^2*x^2 + 1)^(3/2)*arcsin(a*x)^3/a^5 + 24/3125*(a^2*x^2 - 1)^2*x/a^4 - 596/375*x*arcsin(a*x)^2/a^4 - 24/625*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)*arcsin(a*x)/a^5 + 4/5*sqrt(-a^2*x^2 + 1)*arcsin(a*x)^3/a^5 + 6736/84375*(a^2*x^2 - 1)*x/a^4 + 304/1125*(-a^2*x^2 + 1)^(3/2)*arcsin(a*x)/a^5 + 254728/84375*x/a^4 - 1192/375*sqrt(-a^2*x^2 + 1)*arcsin(a*x)/a^5","A",0
34,1,234,0,0.164032," ","integrate(x^3*arcsin(a*x)^4,x, algorithm=""giac"")","-\frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x \arcsin\left(a x\right)^{3}}{4 \, a^{3}} + \frac{{\left(a^{2} x^{2} - 1\right)}^{2} \arcsin\left(a x\right)^{4}}{4 \, a^{4}} + \frac{5 \, \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)^{3}}{8 \, a^{3}} + \frac{{\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)^{4}}{2 \, a^{4}} + \frac{3 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x \arcsin\left(a x\right)}{32 \, a^{3}} - \frac{3 \, {\left(a^{2} x^{2} - 1\right)}^{2} \arcsin\left(a x\right)^{2}}{16 \, a^{4}} + \frac{5 \, \arcsin\left(a x\right)^{4}}{32 \, a^{4}} - \frac{51 \, \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)}{64 \, a^{3}} - \frac{15 \, {\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)^{2}}{16 \, a^{4}} + \frac{3 \, {\left(a^{2} x^{2} - 1\right)}^{2}}{128 \, a^{4}} - \frac{51 \, \arcsin\left(a x\right)^{2}}{128 \, a^{4}} + \frac{51 \, {\left(a^{2} x^{2} - 1\right)}}{128 \, a^{4}} + \frac{195}{1024 \, a^{4}}"," ",0,"-1/4*(-a^2*x^2 + 1)^(3/2)*x*arcsin(a*x)^3/a^3 + 1/4*(a^2*x^2 - 1)^2*arcsin(a*x)^4/a^4 + 5/8*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)^3/a^3 + 1/2*(a^2*x^2 - 1)*arcsin(a*x)^4/a^4 + 3/32*(-a^2*x^2 + 1)^(3/2)*x*arcsin(a*x)/a^3 - 3/16*(a^2*x^2 - 1)^2*arcsin(a*x)^2/a^4 + 5/32*arcsin(a*x)^4/a^4 - 51/64*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)/a^3 - 15/16*(a^2*x^2 - 1)*arcsin(a*x)^2/a^4 + 3/128*(a^2*x^2 - 1)^2/a^4 - 51/128*arcsin(a*x)^2/a^4 + 51/128*(a^2*x^2 - 1)/a^4 + 195/1024/a^4","A",0
35,1,176,0,0.176130," ","integrate(x^2*arcsin(a*x)^4,x, algorithm=""giac"")","\frac{{\left(a^{2} x^{2} - 1\right)} x \arcsin\left(a x\right)^{4}}{3 \, a^{2}} + \frac{x \arcsin\left(a x\right)^{4}}{3 \, a^{2}} - \frac{4 \, {\left(a^{2} x^{2} - 1\right)} x \arcsin\left(a x\right)^{2}}{9 \, a^{2}} - \frac{4 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} \arcsin\left(a x\right)^{3}}{9 \, a^{3}} - \frac{28 \, x \arcsin\left(a x\right)^{2}}{9 \, a^{2}} + \frac{4 \, \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)^{3}}{3 \, a^{3}} + \frac{8 \, {\left(a^{2} x^{2} - 1\right)} x}{81 \, a^{2}} + \frac{8 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} \arcsin\left(a x\right)}{27 \, a^{3}} + \frac{488 \, x}{81 \, a^{2}} - \frac{56 \, \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)}{9 \, a^{3}}"," ",0,"1/3*(a^2*x^2 - 1)*x*arcsin(a*x)^4/a^2 + 1/3*x*arcsin(a*x)^4/a^2 - 4/9*(a^2*x^2 - 1)*x*arcsin(a*x)^2/a^2 - 4/9*(-a^2*x^2 + 1)^(3/2)*arcsin(a*x)^3/a^3 - 28/9*x*arcsin(a*x)^2/a^2 + 4/3*sqrt(-a^2*x^2 + 1)*arcsin(a*x)^3/a^3 + 8/81*(a^2*x^2 - 1)*x/a^2 + 8/27*(-a^2*x^2 + 1)^(3/2)*arcsin(a*x)/a^3 + 488/81*x/a^2 - 56/9*sqrt(-a^2*x^2 + 1)*arcsin(a*x)/a^3","A",0
36,1,127,0,0.152461," ","integrate(x*arcsin(a*x)^4,x, algorithm=""giac"")","\frac{\sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)^{3}}{a} + \frac{{\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)^{4}}{2 \, a^{2}} + \frac{\arcsin\left(a x\right)^{4}}{4 \, a^{2}} - \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)}{2 \, a} - \frac{3 \, {\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)^{2}}{2 \, a^{2}} - \frac{3 \, \arcsin\left(a x\right)^{2}}{4 \, a^{2}} + \frac{3 \, {\left(a^{2} x^{2} - 1\right)}}{4 \, a^{2}} + \frac{3}{8 \, a^{2}}"," ",0,"sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)^3/a + 1/2*(a^2*x^2 - 1)*arcsin(a*x)^4/a^2 + 1/4*arcsin(a*x)^4/a^2 - 3/2*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)/a - 3/2*(a^2*x^2 - 1)*arcsin(a*x)^2/a^2 - 3/4*arcsin(a*x)^2/a^2 + 3/4*(a^2*x^2 - 1)/a^2 + 3/8/a^2","A",0
37,1,65,0,0.123582," ","integrate(arcsin(a*x)^4,x, algorithm=""giac"")","x \arcsin\left(a x\right)^{4} - 12 \, x \arcsin\left(a x\right)^{2} + \frac{4 \, \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)^{3}}{a} + 24 \, x - \frac{24 \, \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)}{a}"," ",0,"x*arcsin(a*x)^4 - 12*x*arcsin(a*x)^2 + 4*sqrt(-a^2*x^2 + 1)*arcsin(a*x)^3/a + 24*x - 24*sqrt(-a^2*x^2 + 1)*arcsin(a*x)/a","A",0
38,0,0,0,0.000000," ","integrate(arcsin(a*x)^4/x,x, algorithm=""giac"")","\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=""giac"")","\int \frac{\arcsin\left(a x\right)^{4}}{x^{2}}\,{d x}"," ",0,"integrate(arcsin(a*x)^4/x^2, x)","F",0
40,0,0,0,0.000000," ","integrate(arcsin(a*x)^4/x^3,x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{4}}{x^{3}}\,{d x}"," ",0,"integrate(arcsin(a*x)^4/x^3, x)","F",0
41,0,0,0,0.000000," ","integrate(arcsin(a*x)^4/x^4,x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{4}}{x^{4}}\,{d x}"," ",0,"integrate(arcsin(a*x)^4/x^4, x)","F",0
42,1,47,0,0.151042," ","integrate(x^6/arcsin(a*x),x, algorithm=""giac"")","-\frac{\operatorname{Ci}\left(7 \, \arcsin\left(a x\right)\right)}{64 \, a^{7}} + \frac{5 \, \operatorname{Ci}\left(5 \, \arcsin\left(a x\right)\right)}{64 \, a^{7}} - \frac{9 \, \operatorname{Ci}\left(3 \, \arcsin\left(a x\right)\right)}{64 \, a^{7}} + \frac{5 \, \operatorname{Ci}\left(\arcsin\left(a x\right)\right)}{64 \, a^{7}}"," ",0,"-1/64*cos_integral(7*arcsin(a*x))/a^7 + 5/64*cos_integral(5*arcsin(a*x))/a^7 - 9/64*cos_integral(3*arcsin(a*x))/a^7 + 5/64*cos_integral(arcsin(a*x))/a^7","A",0
43,1,37,0,0.138871," ","integrate(x^5/arcsin(a*x),x, algorithm=""giac"")","\frac{\operatorname{Si}\left(6 \, \arcsin\left(a x\right)\right)}{32 \, a^{6}} - \frac{\operatorname{Si}\left(4 \, \arcsin\left(a x\right)\right)}{8 \, a^{6}} + \frac{5 \, \operatorname{Si}\left(2 \, \arcsin\left(a x\right)\right)}{32 \, a^{6}}"," ",0,"1/32*sin_integral(6*arcsin(a*x))/a^6 - 1/8*sin_integral(4*arcsin(a*x))/a^6 + 5/32*sin_integral(2*arcsin(a*x))/a^6","A",0
44,1,35,0,0.129864," ","integrate(x^4/arcsin(a*x),x, algorithm=""giac"")","\frac{\operatorname{Ci}\left(5 \, \arcsin\left(a x\right)\right)}{16 \, a^{5}} - \frac{3 \, \operatorname{Ci}\left(3 \, \arcsin\left(a x\right)\right)}{16 \, a^{5}} + \frac{\operatorname{Ci}\left(\arcsin\left(a x\right)\right)}{8 \, a^{5}}"," ",0,"1/16*cos_integral(5*arcsin(a*x))/a^5 - 3/16*cos_integral(3*arcsin(a*x))/a^5 + 1/8*cos_integral(arcsin(a*x))/a^5","A",0
45,1,25,0,0.145505," ","integrate(x^3/arcsin(a*x),x, algorithm=""giac"")","-\frac{\operatorname{Si}\left(4 \, \arcsin\left(a x\right)\right)}{8 \, a^{4}} + \frac{\operatorname{Si}\left(2 \, \arcsin\left(a x\right)\right)}{4 \, a^{4}}"," ",0,"-1/8*sin_integral(4*arcsin(a*x))/a^4 + 1/4*sin_integral(2*arcsin(a*x))/a^4","A",0
46,1,23,0,0.158613," ","integrate(x^2/arcsin(a*x),x, algorithm=""giac"")","-\frac{\operatorname{Ci}\left(3 \, \arcsin\left(a x\right)\right)}{4 \, a^{3}} + \frac{\operatorname{Ci}\left(\arcsin\left(a x\right)\right)}{4 \, a^{3}}"," ",0,"-1/4*cos_integral(3*arcsin(a*x))/a^3 + 1/4*cos_integral(arcsin(a*x))/a^3","A",0
47,1,12,0,0.148096," ","integrate(x/arcsin(a*x),x, algorithm=""giac"")","\frac{\operatorname{Si}\left(2 \, \arcsin\left(a x\right)\right)}{2 \, a^{2}}"," ",0,"1/2*sin_integral(2*arcsin(a*x))/a^2","A",0
48,1,9,0,0.181068," ","integrate(1/arcsin(a*x),x, algorithm=""giac"")","\frac{\operatorname{Ci}\left(\arcsin\left(a x\right)\right)}{a}"," ",0,"cos_integral(arcsin(a*x))/a","A",0
49,0,0,0,0.000000," ","integrate(1/x/arcsin(a*x),x, algorithm=""giac"")","\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=""giac"")","\int \frac{1}{x^{2} \arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(1/(x^2*arcsin(a*x)), x)","F",0
51,1,161,0,0.150235," ","integrate(x^6/arcsin(a*x)^2,x, algorithm=""giac"")","-\frac{{\left(a^{2} x^{2} - 1\right)}^{3} \sqrt{-a^{2} x^{2} + 1}}{a^{7} \arcsin\left(a x\right)} - \frac{3 \, {\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1}}{a^{7} \arcsin\left(a x\right)} + \frac{7 \, \operatorname{Si}\left(7 \, \arcsin\left(a x\right)\right)}{64 \, a^{7}} - \frac{25 \, \operatorname{Si}\left(5 \, \arcsin\left(a x\right)\right)}{64 \, a^{7}} + \frac{27 \, \operatorname{Si}\left(3 \, \arcsin\left(a x\right)\right)}{64 \, a^{7}} - \frac{5 \, \operatorname{Si}\left(\arcsin\left(a x\right)\right)}{64 \, a^{7}} + \frac{3 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{a^{7} \arcsin\left(a x\right)} - \frac{\sqrt{-a^{2} x^{2} + 1}}{a^{7} \arcsin\left(a x\right)}"," ",0,"-(a^2*x^2 - 1)^3*sqrt(-a^2*x^2 + 1)/(a^7*arcsin(a*x)) - 3*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)/(a^7*arcsin(a*x)) + 7/64*sin_integral(7*arcsin(a*x))/a^7 - 25/64*sin_integral(5*arcsin(a*x))/a^7 + 27/64*sin_integral(3*arcsin(a*x))/a^7 - 5/64*sin_integral(arcsin(a*x))/a^7 + 3*(-a^2*x^2 + 1)^(3/2)/(a^7*arcsin(a*x)) - sqrt(-a^2*x^2 + 1)/(a^7*arcsin(a*x))","B",0
52,1,120,0,0.141987," ","integrate(x^5/arcsin(a*x)^2,x, algorithm=""giac"")","-\frac{{\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1} x}{a^{5} \arcsin\left(a x\right)} + \frac{2 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x}{a^{5} \arcsin\left(a x\right)} - \frac{\sqrt{-a^{2} x^{2} + 1} x}{a^{5} \arcsin\left(a x\right)} + \frac{3 \, \operatorname{Ci}\left(6 \, \arcsin\left(a x\right)\right)}{16 \, a^{6}} - \frac{\operatorname{Ci}\left(4 \, \arcsin\left(a x\right)\right)}{2 \, a^{6}} + \frac{5 \, \operatorname{Ci}\left(2 \, \arcsin\left(a x\right)\right)}{16 \, a^{6}}"," ",0,"-(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)*x/(a^5*arcsin(a*x)) + 2*(-a^2*x^2 + 1)^(3/2)*x/(a^5*arcsin(a*x)) - sqrt(-a^2*x^2 + 1)*x/(a^5*arcsin(a*x)) + 3/16*cos_integral(6*arcsin(a*x))/a^6 - 1/2*cos_integral(4*arcsin(a*x))/a^6 + 5/16*cos_integral(2*arcsin(a*x))/a^6","A",0
53,1,115,0,0.155190," ","integrate(x^4/arcsin(a*x)^2,x, algorithm=""giac"")","-\frac{{\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1}}{a^{5} \arcsin\left(a x\right)} - \frac{5 \, \operatorname{Si}\left(5 \, \arcsin\left(a x\right)\right)}{16 \, a^{5}} + \frac{9 \, \operatorname{Si}\left(3 \, \arcsin\left(a x\right)\right)}{16 \, a^{5}} - \frac{\operatorname{Si}\left(\arcsin\left(a x\right)\right)}{8 \, a^{5}} + \frac{2 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{a^{5} \arcsin\left(a x\right)} - \frac{\sqrt{-a^{2} x^{2} + 1}}{a^{5} \arcsin\left(a x\right)}"," ",0,"-(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)/(a^5*arcsin(a*x)) - 5/16*sin_integral(5*arcsin(a*x))/a^5 + 9/16*sin_integral(3*arcsin(a*x))/a^5 - 1/8*sin_integral(arcsin(a*x))/a^5 + 2*(-a^2*x^2 + 1)^(3/2)/(a^5*arcsin(a*x)) - sqrt(-a^2*x^2 + 1)/(a^5*arcsin(a*x))","A",0
54,1,72,0,0.205626," ","integrate(x^3/arcsin(a*x)^2,x, algorithm=""giac"")","\frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x}{a^{3} \arcsin\left(a x\right)} - \frac{\sqrt{-a^{2} x^{2} + 1} x}{a^{3} \arcsin\left(a x\right)} - \frac{\operatorname{Ci}\left(4 \, \arcsin\left(a x\right)\right)}{2 \, a^{4}} + \frac{\operatorname{Ci}\left(2 \, \arcsin\left(a x\right)\right)}{2 \, a^{4}}"," ",0,"(-a^2*x^2 + 1)^(3/2)*x/(a^3*arcsin(a*x)) - sqrt(-a^2*x^2 + 1)*x/(a^3*arcsin(a*x)) - 1/2*cos_integral(4*arcsin(a*x))/a^4 + 1/2*cos_integral(2*arcsin(a*x))/a^4","A",0
55,1,68,0,0.205876," ","integrate(x^2/arcsin(a*x)^2,x, algorithm=""giac"")","\frac{3 \, \operatorname{Si}\left(3 \, \arcsin\left(a x\right)\right)}{4 \, a^{3}} - \frac{\operatorname{Si}\left(\arcsin\left(a x\right)\right)}{4 \, a^{3}} + \frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{a^{3} \arcsin\left(a x\right)} - \frac{\sqrt{-a^{2} x^{2} + 1}}{a^{3} \arcsin\left(a x\right)}"," ",0,"3/4*sin_integral(3*arcsin(a*x))/a^3 - 1/4*sin_integral(arcsin(a*x))/a^3 + (-a^2*x^2 + 1)^(3/2)/(a^3*arcsin(a*x)) - sqrt(-a^2*x^2 + 1)/(a^3*arcsin(a*x))","A",0
56,1,36,0,0.259403," ","integrate(x/arcsin(a*x)^2,x, algorithm=""giac"")","-\frac{\sqrt{-a^{2} x^{2} + 1} x}{a \arcsin\left(a x\right)} + \frac{\operatorname{Ci}\left(2 \, \arcsin\left(a x\right)\right)}{a^{2}}"," ",0,"-sqrt(-a^2*x^2 + 1)*x/(a*arcsin(a*x)) + cos_integral(2*arcsin(a*x))/a^2","A",0
57,1,34,0,0.225703," ","integrate(1/arcsin(a*x)^2,x, algorithm=""giac"")","-\frac{\operatorname{Si}\left(\arcsin\left(a x\right)\right)}{a} - \frac{\sqrt{-a^{2} x^{2} + 1}}{a \arcsin\left(a x\right)}"," ",0,"-sin_integral(arcsin(a*x))/a - sqrt(-a^2*x^2 + 1)/(a*arcsin(a*x))","A",0
58,0,0,0,0.000000," ","integrate(1/x/arcsin(a*x)^2,x, algorithm=""giac"")","\int \frac{1}{x \arcsin\left(a x\right)^{2}}\,{d x}"," ",0,"integrate(1/(x*arcsin(a*x)^2), x)","F",0
59,0,0,0,0.000000," ","integrate(1/x^2/arcsin(a*x)^2,x, algorithm=""giac"")","\int \frac{1}{x^{2} \arcsin\left(a x\right)^{2}}\,{d x}"," ",0,"integrate(1/(x^2*arcsin(a*x)^2), x)","F",0
60,1,170,0,0.278300," ","integrate(x^4/arcsin(a*x)^3,x, algorithm=""giac"")","\frac{5 \, {\left(a^{2} x^{2} - 1\right)}^{2} x}{2 \, a^{4} \arcsin\left(a x\right)} + \frac{3 \, {\left(a^{2} x^{2} - 1\right)} x}{a^{4} \arcsin\left(a x\right)} + \frac{x}{2 \, a^{4} \arcsin\left(a x\right)} - \frac{25 \, \operatorname{Ci}\left(5 \, \arcsin\left(a x\right)\right)}{32 \, a^{5}} + \frac{27 \, \operatorname{Ci}\left(3 \, \arcsin\left(a x\right)\right)}{32 \, a^{5}} - \frac{\operatorname{Ci}\left(\arcsin\left(a x\right)\right)}{16 \, a^{5}} - \frac{{\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1}}{2 \, a^{5} \arcsin\left(a x\right)^{2}} + \frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{a^{5} \arcsin\left(a x\right)^{2}} - \frac{\sqrt{-a^{2} x^{2} + 1}}{2 \, a^{5} \arcsin\left(a x\right)^{2}}"," ",0,"5/2*(a^2*x^2 - 1)^2*x/(a^4*arcsin(a*x)) + 3*(a^2*x^2 - 1)*x/(a^4*arcsin(a*x)) + 1/2*x/(a^4*arcsin(a*x)) - 25/32*cos_integral(5*arcsin(a*x))/a^5 + 27/32*cos_integral(3*arcsin(a*x))/a^5 - 1/16*cos_integral(arcsin(a*x))/a^5 - 1/2*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)/(a^5*arcsin(a*x)^2) + (-a^2*x^2 + 1)^(3/2)/(a^5*arcsin(a*x)^2) - 1/2*sqrt(-a^2*x^2 + 1)/(a^5*arcsin(a*x)^2)","A",0
61,1,125,0,0.269060," ","integrate(x^3/arcsin(a*x)^3,x, algorithm=""giac"")","\frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x}{2 \, a^{3} \arcsin\left(a x\right)^{2}} + \frac{2 \, {\left(a^{2} x^{2} - 1\right)}^{2}}{a^{4} \arcsin\left(a x\right)} + \frac{\operatorname{Si}\left(4 \, \arcsin\left(a x\right)\right)}{a^{4}} - \frac{\operatorname{Si}\left(2 \, \arcsin\left(a x\right)\right)}{2 \, a^{4}} - \frac{\sqrt{-a^{2} x^{2} + 1} x}{2 \, a^{3} \arcsin\left(a x\right)^{2}} + \frac{5 \, {\left(a^{2} x^{2} - 1\right)}}{2 \, a^{4} \arcsin\left(a x\right)} + \frac{1}{2 \, a^{4} \arcsin\left(a x\right)}"," ",0,"1/2*(-a^2*x^2 + 1)^(3/2)*x/(a^3*arcsin(a*x)^2) + 2*(a^2*x^2 - 1)^2/(a^4*arcsin(a*x)) + sin_integral(4*arcsin(a*x))/a^4 - 1/2*sin_integral(2*arcsin(a*x))/a^4 - 1/2*sqrt(-a^2*x^2 + 1)*x/(a^3*arcsin(a*x)^2) + 5/2*(a^2*x^2 - 1)/(a^4*arcsin(a*x)) + 1/2/(a^4*arcsin(a*x))","A",0
62,1,102,0,0.208184," ","integrate(x^2/arcsin(a*x)^3,x, algorithm=""giac"")","\frac{3 \, {\left(a^{2} x^{2} - 1\right)} x}{2 \, a^{2} \arcsin\left(a x\right)} + \frac{x}{2 \, a^{2} \arcsin\left(a x\right)} + \frac{9 \, \operatorname{Ci}\left(3 \, \arcsin\left(a x\right)\right)}{8 \, a^{3}} - \frac{\operatorname{Ci}\left(\arcsin\left(a x\right)\right)}{8 \, a^{3}} + \frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{2 \, a^{3} \arcsin\left(a x\right)^{2}} - \frac{\sqrt{-a^{2} x^{2} + 1}}{2 \, a^{3} \arcsin\left(a x\right)^{2}}"," ",0,"3/2*(a^2*x^2 - 1)*x/(a^2*arcsin(a*x)) + 1/2*x/(a^2*arcsin(a*x)) + 9/8*cos_integral(3*arcsin(a*x))/a^3 - 1/8*cos_integral(arcsin(a*x))/a^3 + 1/2*(-a^2*x^2 + 1)^(3/2)/(a^3*arcsin(a*x)^2) - 1/2*sqrt(-a^2*x^2 + 1)/(a^3*arcsin(a*x)^2)","A",0
63,1,67,0,0.210001," ","integrate(x/arcsin(a*x)^3,x, algorithm=""giac"")","-\frac{\operatorname{Si}\left(2 \, \arcsin\left(a x\right)\right)}{a^{2}} - \frac{\sqrt{-a^{2} x^{2} + 1} x}{2 \, a \arcsin\left(a x\right)^{2}} + \frac{a^{2} x^{2} - 1}{a^{2} \arcsin\left(a x\right)} + \frac{1}{2 \, a^{2} \arcsin\left(a x\right)}"," ",0,"-sin_integral(2*arcsin(a*x))/a^2 - 1/2*sqrt(-a^2*x^2 + 1)*x/(a*arcsin(a*x)^2) + (a^2*x^2 - 1)/(a^2*arcsin(a*x)) + 1/2/(a^2*arcsin(a*x))","A",0
64,1,43,0,0.204654," ","integrate(1/arcsin(a*x)^3,x, algorithm=""giac"")","\frac{x}{2 \, \arcsin\left(a x\right)} - \frac{\operatorname{Ci}\left(\arcsin\left(a x\right)\right)}{2 \, a} - \frac{\sqrt{-a^{2} x^{2} + 1}}{2 \, a \arcsin\left(a x\right)^{2}}"," ",0,"1/2*x/arcsin(a*x) - 1/2*cos_integral(arcsin(a*x))/a - 1/2*sqrt(-a^2*x^2 + 1)/(a*arcsin(a*x)^2)","A",0
65,0,0,0,0.000000," ","integrate(1/x/arcsin(a*x)^3,x, algorithm=""giac"")","\int \frac{1}{x \arcsin\left(a x\right)^{3}}\,{d x}"," ",0,"integrate(1/(x*arcsin(a*x)^3), x)","F",0
66,0,0,0,0.000000," ","integrate(1/x^2/arcsin(a*x)^3,x, algorithm=""giac"")","\int \frac{1}{x^{2} \arcsin\left(a x\right)^{3}}\,{d x}"," ",0,"integrate(1/(x^2*arcsin(a*x)^3), x)","F",0
67,1,250,0,0.277037," ","integrate(x^4/arcsin(a*x)^4,x, algorithm=""giac"")","\frac{5 \, {\left(a^{2} x^{2} - 1\right)}^{2} x}{6 \, a^{4} \arcsin\left(a x\right)^{2}} + \frac{25 \, {\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1}}{6 \, a^{5} \arcsin\left(a x\right)} + \frac{{\left(a^{2} x^{2} - 1\right)} x}{a^{4} \arcsin\left(a x\right)^{2}} + \frac{125 \, \operatorname{Si}\left(5 \, \arcsin\left(a x\right)\right)}{96 \, a^{5}} - \frac{27 \, \operatorname{Si}\left(3 \, \arcsin\left(a x\right)\right)}{32 \, a^{5}} + \frac{\operatorname{Si}\left(\arcsin\left(a x\right)\right)}{48 \, a^{5}} - \frac{19 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{3 \, a^{5} \arcsin\left(a x\right)} + \frac{x}{6 \, a^{4} \arcsin\left(a x\right)^{2}} - \frac{{\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1}}{3 \, a^{5} \arcsin\left(a x\right)^{3}} + \frac{13 \, \sqrt{-a^{2} x^{2} + 1}}{6 \, a^{5} \arcsin\left(a x\right)} + \frac{2 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{3 \, a^{5} \arcsin\left(a x\right)^{3}} - \frac{\sqrt{-a^{2} x^{2} + 1}}{3 \, a^{5} \arcsin\left(a x\right)^{3}}"," ",0,"5/6*(a^2*x^2 - 1)^2*x/(a^4*arcsin(a*x)^2) + 25/6*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)/(a^5*arcsin(a*x)) + (a^2*x^2 - 1)*x/(a^4*arcsin(a*x)^2) + 125/96*sin_integral(5*arcsin(a*x))/a^5 - 27/32*sin_integral(3*arcsin(a*x))/a^5 + 1/48*sin_integral(arcsin(a*x))/a^5 - 19/3*(-a^2*x^2 + 1)^(3/2)/(a^5*arcsin(a*x)) + 1/6*x/(a^4*arcsin(a*x)^2) - 1/3*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)/(a^5*arcsin(a*x)^3) + 13/6*sqrt(-a^2*x^2 + 1)/(a^5*arcsin(a*x)) + 2/3*(-a^2*x^2 + 1)^(3/2)/(a^5*arcsin(a*x)^3) - 1/3*sqrt(-a^2*x^2 + 1)/(a^5*arcsin(a*x)^3)","A",0
68,1,174,0,0.232279," ","integrate(x^3/arcsin(a*x)^4,x, algorithm=""giac"")","-\frac{8 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x}{3 \, a^{3} \arcsin\left(a x\right)} + \frac{5 \, \sqrt{-a^{2} x^{2} + 1} x}{3 \, a^{3} \arcsin\left(a x\right)} + \frac{4 \, \operatorname{Ci}\left(4 \, \arcsin\left(a x\right)\right)}{3 \, a^{4}} - \frac{\operatorname{Ci}\left(2 \, \arcsin\left(a x\right)\right)}{3 \, a^{4}} + \frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x}{3 \, a^{3} \arcsin\left(a x\right)^{3}} + \frac{2 \, {\left(a^{2} x^{2} - 1\right)}^{2}}{3 \, a^{4} \arcsin\left(a x\right)^{2}} - \frac{\sqrt{-a^{2} x^{2} + 1} x}{3 \, a^{3} \arcsin\left(a x\right)^{3}} + \frac{5 \, {\left(a^{2} x^{2} - 1\right)}}{6 \, a^{4} \arcsin\left(a x\right)^{2}} + \frac{1}{6 \, a^{4} \arcsin\left(a x\right)^{2}}"," ",0,"-8/3*(-a^2*x^2 + 1)^(3/2)*x/(a^3*arcsin(a*x)) + 5/3*sqrt(-a^2*x^2 + 1)*x/(a^3*arcsin(a*x)) + 4/3*cos_integral(4*arcsin(a*x))/a^4 - 1/3*cos_integral(2*arcsin(a*x))/a^4 + 1/3*(-a^2*x^2 + 1)^(3/2)*x/(a^3*arcsin(a*x)^3) + 2/3*(a^2*x^2 - 1)^2/(a^4*arcsin(a*x)^2) - 1/3*sqrt(-a^2*x^2 + 1)*x/(a^3*arcsin(a*x)^3) + 5/6*(a^2*x^2 - 1)/(a^4*arcsin(a*x)^2) + 1/6/(a^4*arcsin(a*x)^2)","A",0
69,1,148,0,0.212331," ","integrate(x^2/arcsin(a*x)^4,x, algorithm=""giac"")","\frac{{\left(a^{2} x^{2} - 1\right)} x}{2 \, a^{2} \arcsin\left(a x\right)^{2}} - \frac{9 \, \operatorname{Si}\left(3 \, \arcsin\left(a x\right)\right)}{8 \, a^{3}} + \frac{\operatorname{Si}\left(\arcsin\left(a x\right)\right)}{24 \, a^{3}} - \frac{3 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{2 \, a^{3} \arcsin\left(a x\right)} + \frac{x}{6 \, a^{2} \arcsin\left(a x\right)^{2}} + \frac{7 \, \sqrt{-a^{2} x^{2} + 1}}{6 \, a^{3} \arcsin\left(a x\right)} + \frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{3 \, a^{3} \arcsin\left(a x\right)^{3}} - \frac{\sqrt{-a^{2} x^{2} + 1}}{3 \, a^{3} \arcsin\left(a x\right)^{3}}"," ",0,"1/2*(a^2*x^2 - 1)*x/(a^2*arcsin(a*x)^2) - 9/8*sin_integral(3*arcsin(a*x))/a^3 + 1/24*sin_integral(arcsin(a*x))/a^3 - 3/2*(-a^2*x^2 + 1)^(3/2)/(a^3*arcsin(a*x)) + 1/6*x/(a^2*arcsin(a*x)^2) + 7/6*sqrt(-a^2*x^2 + 1)/(a^3*arcsin(a*x)) + 1/3*(-a^2*x^2 + 1)^(3/2)/(a^3*arcsin(a*x)^3) - 1/3*sqrt(-a^2*x^2 + 1)/(a^3*arcsin(a*x)^3)","A",0
70,1,92,0,0.379796," ","integrate(x/arcsin(a*x)^4,x, algorithm=""giac"")","\frac{2 \, \sqrt{-a^{2} x^{2} + 1} x}{3 \, a \arcsin\left(a x\right)} - \frac{2 \, \operatorname{Ci}\left(2 \, \arcsin\left(a x\right)\right)}{3 \, a^{2}} - \frac{\sqrt{-a^{2} x^{2} + 1} x}{3 \, a \arcsin\left(a x\right)^{3}} + \frac{a^{2} x^{2} - 1}{3 \, a^{2} \arcsin\left(a x\right)^{2}} + \frac{1}{6 \, a^{2} \arcsin\left(a x\right)^{2}}"," ",0,"2/3*sqrt(-a^2*x^2 + 1)*x/(a*arcsin(a*x)) - 2/3*cos_integral(2*arcsin(a*x))/a^2 - 1/3*sqrt(-a^2*x^2 + 1)*x/(a*arcsin(a*x)^3) + 1/3*(a^2*x^2 - 1)/(a^2*arcsin(a*x)^2) + 1/6/(a^2*arcsin(a*x)^2)","A",0
71,1,66,0,0.248846," ","integrate(1/arcsin(a*x)^4,x, algorithm=""giac"")","\frac{\operatorname{Si}\left(\arcsin\left(a x\right)\right)}{6 \, a} + \frac{x}{6 \, \arcsin\left(a x\right)^{2}} + \frac{\sqrt{-a^{2} x^{2} + 1}}{6 \, a \arcsin\left(a x\right)} - \frac{\sqrt{-a^{2} x^{2} + 1}}{3 \, a \arcsin\left(a x\right)^{3}}"," ",0,"1/6*sin_integral(arcsin(a*x))/a + 1/6*x/arcsin(a*x)^2 + 1/6*sqrt(-a^2*x^2 + 1)/(a*arcsin(a*x)) - 1/3*sqrt(-a^2*x^2 + 1)/(a*arcsin(a*x)^3)","A",0
72,0,0,0,0.000000," ","integrate(1/x/arcsin(a*x)^4,x, algorithm=""giac"")","\int \frac{1}{x \arcsin\left(a x\right)^{4}}\,{d x}"," ",0,"integrate(1/(x*arcsin(a*x)^4), x)","F",0
73,0,0,0,0.000000," ","integrate(1/x^2/arcsin(a*x)^4,x, algorithm=""giac"")","\int \frac{1}{x^{2} \arcsin\left(a x\right)^{4}}\,{d x}"," ",0,"integrate(1/(x^2*arcsin(a*x)^4), x)","F",0
74,1,247,0,0.296627," ","integrate(x^4*arcsin(a*x)^(1/2),x, algorithm=""giac"")","-\frac{\left(i - 1\right) \, \sqrt{10} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{10} \sqrt{\arcsin\left(a x\right)}\right)}{3200 \, a^{5}} + \frac{\left(i + 1\right) \, \sqrt{10} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{10} \sqrt{\arcsin\left(a x\right)}\right)}{3200 \, a^{5}} + \frac{\left(i - 1\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{384 \, a^{5}} - \frac{\left(i + 1\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{384 \, a^{5}} - \frac{\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{64 \, a^{5}} + \frac{\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{64 \, a^{5}} - \frac{i \, \sqrt{\arcsin\left(a x\right)} e^{\left(5 i \, \arcsin\left(a x\right)\right)}}{160 \, a^{5}} + \frac{i \, \sqrt{\arcsin\left(a x\right)} e^{\left(3 i \, \arcsin\left(a x\right)\right)}}{32 \, a^{5}} - \frac{i \, \sqrt{\arcsin\left(a x\right)} e^{\left(i \, \arcsin\left(a x\right)\right)}}{16 \, a^{5}} + \frac{i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{16 \, a^{5}} - \frac{i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-3 i \, \arcsin\left(a x\right)\right)}}{32 \, a^{5}} + \frac{i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-5 i \, \arcsin\left(a x\right)\right)}}{160 \, a^{5}}"," ",0,"-(1/3200*I - 1/3200)*sqrt(10)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(10)*sqrt(arcsin(a*x)))/a^5 + (1/3200*I + 1/3200)*sqrt(10)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(10)*sqrt(arcsin(a*x)))/a^5 + (1/384*I - 1/384)*sqrt(6)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^5 - (1/384*I + 1/384)*sqrt(6)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^5 - (1/64*I - 1/64)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^5 + (1/64*I + 1/64)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^5 - 1/160*I*sqrt(arcsin(a*x))*e^(5*I*arcsin(a*x))/a^5 + 1/32*I*sqrt(arcsin(a*x))*e^(3*I*arcsin(a*x))/a^5 - 1/16*I*sqrt(arcsin(a*x))*e^(I*arcsin(a*x))/a^5 + 1/16*I*sqrt(arcsin(a*x))*e^(-I*arcsin(a*x))/a^5 - 1/32*I*sqrt(arcsin(a*x))*e^(-3*I*arcsin(a*x))/a^5 + 1/160*I*sqrt(arcsin(a*x))*e^(-5*I*arcsin(a*x))/a^5","C",0
75,1,153,0,0.531456," ","integrate(x^3*arcsin(a*x)^(1/2),x, algorithm=""giac"")","\frac{\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(i - 1\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{512 \, a^{4}} - \frac{\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(i + 1\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{512 \, a^{4}} - \frac{\left(i + 1\right) \, \sqrt{\pi} \operatorname{erf}\left(\left(i - 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{64 \, a^{4}} + \frac{\left(i - 1\right) \, \sqrt{\pi} \operatorname{erf}\left(-\left(i + 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{64 \, a^{4}} + \frac{\sqrt{\arcsin\left(a x\right)} e^{\left(4 i \, \arcsin\left(a x\right)\right)}}{64 \, a^{4}} - \frac{\sqrt{\arcsin\left(a x\right)} e^{\left(2 i \, \arcsin\left(a x\right)\right)}}{16 \, a^{4}} - \frac{\sqrt{\arcsin\left(a x\right)} e^{\left(-2 i \, \arcsin\left(a x\right)\right)}}{16 \, a^{4}} + \frac{\sqrt{\arcsin\left(a x\right)} e^{\left(-4 i \, \arcsin\left(a x\right)\right)}}{64 \, a^{4}}"," ",0,"(1/512*I + 1/512)*sqrt(2)*sqrt(pi)*erf((I - 1)*sqrt(2)*sqrt(arcsin(a*x)))/a^4 - (1/512*I - 1/512)*sqrt(2)*sqrt(pi)*erf(-(I + 1)*sqrt(2)*sqrt(arcsin(a*x)))/a^4 - (1/64*I + 1/64)*sqrt(pi)*erf((I - 1)*sqrt(arcsin(a*x)))/a^4 + (1/64*I - 1/64)*sqrt(pi)*erf(-(I + 1)*sqrt(arcsin(a*x)))/a^4 + 1/64*sqrt(arcsin(a*x))*e^(4*I*arcsin(a*x))/a^4 - 1/16*sqrt(arcsin(a*x))*e^(2*I*arcsin(a*x))/a^4 - 1/16*sqrt(arcsin(a*x))*e^(-2*I*arcsin(a*x))/a^4 + 1/64*sqrt(arcsin(a*x))*e^(-4*I*arcsin(a*x))/a^4","C",0
76,1,165,0,0.267583," ","integrate(x^2*arcsin(a*x)^(1/2),x, algorithm=""giac"")","\frac{\left(i - 1\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{288 \, a^{3}} - \frac{\left(i + 1\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{288 \, a^{3}} - \frac{\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{32 \, a^{3}} + \frac{\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{32 \, a^{3}} + \frac{i \, \sqrt{\arcsin\left(a x\right)} e^{\left(3 i \, \arcsin\left(a x\right)\right)}}{24 \, a^{3}} - \frac{i \, \sqrt{\arcsin\left(a x\right)} e^{\left(i \, \arcsin\left(a x\right)\right)}}{8 \, a^{3}} + \frac{i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{8 \, a^{3}} - \frac{i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-3 i \, \arcsin\left(a x\right)\right)}}{24 \, a^{3}}"," ",0,"(1/288*I - 1/288)*sqrt(6)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^3 - (1/288*I + 1/288)*sqrt(6)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^3 - (1/32*I - 1/32)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^3 + (1/32*I + 1/32)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^3 + 1/24*I*sqrt(arcsin(a*x))*e^(3*I*arcsin(a*x))/a^3 - 1/8*I*sqrt(arcsin(a*x))*e^(I*arcsin(a*x))/a^3 + 1/8*I*sqrt(arcsin(a*x))*e^(-I*arcsin(a*x))/a^3 - 1/24*I*sqrt(arcsin(a*x))*e^(-3*I*arcsin(a*x))/a^3","C",0
77,1,71,0,0.571336," ","integrate(x*arcsin(a*x)^(1/2),x, algorithm=""giac"")","-\frac{\left(i + 1\right) \, \sqrt{\pi} \operatorname{erf}\left(\left(i - 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{32 \, a^{2}} + \frac{\left(i - 1\right) \, \sqrt{\pi} \operatorname{erf}\left(-\left(i + 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{32 \, a^{2}} - \frac{\sqrt{\arcsin\left(a x\right)} e^{\left(2 i \, \arcsin\left(a x\right)\right)}}{8 \, a^{2}} - \frac{\sqrt{\arcsin\left(a x\right)} e^{\left(-2 i \, \arcsin\left(a x\right)\right)}}{8 \, a^{2}}"," ",0,"-(1/32*I + 1/32)*sqrt(pi)*erf((I - 1)*sqrt(arcsin(a*x)))/a^2 + (1/32*I - 1/32)*sqrt(pi)*erf(-(I + 1)*sqrt(arcsin(a*x)))/a^2 - 1/8*sqrt(arcsin(a*x))*e^(2*I*arcsin(a*x))/a^2 - 1/8*sqrt(arcsin(a*x))*e^(-2*I*arcsin(a*x))/a^2","C",0
78,1,83,0,0.224192," ","integrate(arcsin(a*x)^(1/2),x, algorithm=""giac"")","-\frac{\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{8 \, a} + \frac{\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{8 \, a} - \frac{i \, \sqrt{\arcsin\left(a x\right)} e^{\left(i \, \arcsin\left(a x\right)\right)}}{2 \, a} + \frac{i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{2 \, a}"," ",0,"-(1/8*I - 1/8)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a + (1/8*I + 1/8)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a - 1/2*I*sqrt(arcsin(a*x))*e^(I*arcsin(a*x))/a + 1/2*I*sqrt(arcsin(a*x))*e^(-I*arcsin(a*x))/a","C",0
79,0,0,0,0.000000," ","integrate(arcsin(a*x)^(1/2)/x,x, algorithm=""giac"")","\int \frac{\sqrt{\arcsin\left(a x\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(arcsin(a*x))/x, x)","F",0
80,1,355,0,0.370886," ","integrate(x^4*arcsin(a*x)^(3/2),x, algorithm=""giac"")","-\frac{i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(5 i \, \arcsin\left(a x\right)\right)}}{160 \, a^{5}} + \frac{i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(3 i \, \arcsin\left(a x\right)\right)}}{32 \, a^{5}} - \frac{i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(i \, \arcsin\left(a x\right)\right)}}{16 \, a^{5}} + \frac{i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{16 \, a^{5}} - \frac{i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-3 i \, \arcsin\left(a x\right)\right)}}{32 \, a^{5}} + \frac{i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-5 i \, \arcsin\left(a x\right)\right)}}{160 \, a^{5}} + \frac{\left(3 i + 3\right) \, \sqrt{10} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{10} \sqrt{\arcsin\left(a x\right)}\right)}{32000 \, a^{5}} - \frac{\left(3 i - 3\right) \, \sqrt{10} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{10} \sqrt{\arcsin\left(a x\right)}\right)}{32000 \, a^{5}} - \frac{\left(i + 1\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{768 \, a^{5}} + \frac{\left(i - 1\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{768 \, a^{5}} + \frac{\left(3 i + 3\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{128 \, a^{5}} - \frac{\left(3 i - 3\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{128 \, a^{5}} + \frac{3 \, \sqrt{\arcsin\left(a x\right)} e^{\left(5 i \, \arcsin\left(a x\right)\right)}}{1600 \, a^{5}} - \frac{\sqrt{\arcsin\left(a x\right)} e^{\left(3 i \, \arcsin\left(a x\right)\right)}}{64 \, a^{5}} + \frac{3 \, \sqrt{\arcsin\left(a x\right)} e^{\left(i \, \arcsin\left(a x\right)\right)}}{32 \, a^{5}} + \frac{3 \, \sqrt{\arcsin\left(a x\right)} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{32 \, a^{5}} - \frac{\sqrt{\arcsin\left(a x\right)} e^{\left(-3 i \, \arcsin\left(a x\right)\right)}}{64 \, a^{5}} + \frac{3 \, \sqrt{\arcsin\left(a x\right)} e^{\left(-5 i \, \arcsin\left(a x\right)\right)}}{1600 \, a^{5}}"," ",0,"-1/160*I*arcsin(a*x)^(3/2)*e^(5*I*arcsin(a*x))/a^5 + 1/32*I*arcsin(a*x)^(3/2)*e^(3*I*arcsin(a*x))/a^5 - 1/16*I*arcsin(a*x)^(3/2)*e^(I*arcsin(a*x))/a^5 + 1/16*I*arcsin(a*x)^(3/2)*e^(-I*arcsin(a*x))/a^5 - 1/32*I*arcsin(a*x)^(3/2)*e^(-3*I*arcsin(a*x))/a^5 + 1/160*I*arcsin(a*x)^(3/2)*e^(-5*I*arcsin(a*x))/a^5 + (3/32000*I + 3/32000)*sqrt(10)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(10)*sqrt(arcsin(a*x)))/a^5 - (3/32000*I - 3/32000)*sqrt(10)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(10)*sqrt(arcsin(a*x)))/a^5 - (1/768*I + 1/768)*sqrt(6)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^5 + (1/768*I - 1/768)*sqrt(6)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^5 + (3/128*I + 3/128)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^5 - (3/128*I - 3/128)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^5 + 3/1600*sqrt(arcsin(a*x))*e^(5*I*arcsin(a*x))/a^5 - 1/64*sqrt(arcsin(a*x))*e^(3*I*arcsin(a*x))/a^5 + 3/32*sqrt(arcsin(a*x))*e^(I*arcsin(a*x))/a^5 + 3/32*sqrt(arcsin(a*x))*e^(-I*arcsin(a*x))/a^5 - 1/64*sqrt(arcsin(a*x))*e^(-3*I*arcsin(a*x))/a^5 + 3/1600*sqrt(arcsin(a*x))*e^(-5*I*arcsin(a*x))/a^5","C",0
81,1,225,0,0.310144," ","integrate(x^3*arcsin(a*x)^(3/2),x, algorithm=""giac"")","\frac{\arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(4 i \, \arcsin\left(a x\right)\right)}}{64 \, a^{4}} - \frac{\arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(2 i \, \arcsin\left(a x\right)\right)}}{16 \, a^{4}} - \frac{\arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-2 i \, \arcsin\left(a x\right)\right)}}{16 \, a^{4}} + \frac{\arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-4 i \, \arcsin\left(a x\right)\right)}}{64 \, a^{4}} + \frac{\left(3 i - 3\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(i - 1\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{4096 \, a^{4}} - \frac{\left(3 i + 3\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(i + 1\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{4096 \, a^{4}} - \frac{\left(3 i - 3\right) \, \sqrt{\pi} \operatorname{erf}\left(\left(i - 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{256 \, a^{4}} + \frac{\left(3 i + 3\right) \, \sqrt{\pi} \operatorname{erf}\left(-\left(i + 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{256 \, a^{4}} + \frac{3 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(4 i \, \arcsin\left(a x\right)\right)}}{512 \, a^{4}} - \frac{3 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(2 i \, \arcsin\left(a x\right)\right)}}{64 \, a^{4}} + \frac{3 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-2 i \, \arcsin\left(a x\right)\right)}}{64 \, a^{4}} - \frac{3 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-4 i \, \arcsin\left(a x\right)\right)}}{512 \, a^{4}}"," ",0,"1/64*arcsin(a*x)^(3/2)*e^(4*I*arcsin(a*x))/a^4 - 1/16*arcsin(a*x)^(3/2)*e^(2*I*arcsin(a*x))/a^4 - 1/16*arcsin(a*x)^(3/2)*e^(-2*I*arcsin(a*x))/a^4 + 1/64*arcsin(a*x)^(3/2)*e^(-4*I*arcsin(a*x))/a^4 + (3/4096*I - 3/4096)*sqrt(2)*sqrt(pi)*erf((I - 1)*sqrt(2)*sqrt(arcsin(a*x)))/a^4 - (3/4096*I + 3/4096)*sqrt(2)*sqrt(pi)*erf(-(I + 1)*sqrt(2)*sqrt(arcsin(a*x)))/a^4 - (3/256*I - 3/256)*sqrt(pi)*erf((I - 1)*sqrt(arcsin(a*x)))/a^4 + (3/256*I + 3/256)*sqrt(pi)*erf(-(I + 1)*sqrt(arcsin(a*x)))/a^4 + 3/512*I*sqrt(arcsin(a*x))*e^(4*I*arcsin(a*x))/a^4 - 3/64*I*sqrt(arcsin(a*x))*e^(2*I*arcsin(a*x))/a^4 + 3/64*I*sqrt(arcsin(a*x))*e^(-2*I*arcsin(a*x))/a^4 - 3/512*I*sqrt(arcsin(a*x))*e^(-4*I*arcsin(a*x))/a^4","C",0
82,1,237,0,0.471347," ","integrate(x^2*arcsin(a*x)^(3/2),x, algorithm=""giac"")","\frac{i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(3 i \, \arcsin\left(a x\right)\right)}}{24 \, a^{3}} - \frac{i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(i \, \arcsin\left(a x\right)\right)}}{8 \, a^{3}} + \frac{i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{8 \, a^{3}} - \frac{i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-3 i \, \arcsin\left(a x\right)\right)}}{24 \, a^{3}} - \frac{\left(i + 1\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{576 \, a^{3}} + \frac{\left(i - 1\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{576 \, a^{3}} + \frac{\left(3 i + 3\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{64 \, a^{3}} - \frac{\left(3 i - 3\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{64 \, a^{3}} - \frac{\sqrt{\arcsin\left(a x\right)} e^{\left(3 i \, \arcsin\left(a x\right)\right)}}{48 \, a^{3}} + \frac{3 \, \sqrt{\arcsin\left(a x\right)} e^{\left(i \, \arcsin\left(a x\right)\right)}}{16 \, a^{3}} + \frac{3 \, \sqrt{\arcsin\left(a x\right)} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{16 \, a^{3}} - \frac{\sqrt{\arcsin\left(a x\right)} e^{\left(-3 i \, \arcsin\left(a x\right)\right)}}{48 \, a^{3}}"," ",0,"1/24*I*arcsin(a*x)^(3/2)*e^(3*I*arcsin(a*x))/a^3 - 1/8*I*arcsin(a*x)^(3/2)*e^(I*arcsin(a*x))/a^3 + 1/8*I*arcsin(a*x)^(3/2)*e^(-I*arcsin(a*x))/a^3 - 1/24*I*arcsin(a*x)^(3/2)*e^(-3*I*arcsin(a*x))/a^3 - (1/576*I + 1/576)*sqrt(6)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^3 + (1/576*I - 1/576)*sqrt(6)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^3 + (3/64*I + 3/64)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^3 - (3/64*I - 3/64)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^3 - 1/48*sqrt(arcsin(a*x))*e^(3*I*arcsin(a*x))/a^3 + 3/16*sqrt(arcsin(a*x))*e^(I*arcsin(a*x))/a^3 + 3/16*sqrt(arcsin(a*x))*e^(-I*arcsin(a*x))/a^3 - 1/48*sqrt(arcsin(a*x))*e^(-3*I*arcsin(a*x))/a^3","C",0
83,1,107,0,0.273004," ","integrate(x*arcsin(a*x)^(3/2),x, algorithm=""giac"")","-\frac{\arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(2 i \, \arcsin\left(a x\right)\right)}}{8 \, a^{2}} - \frac{\arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-2 i \, \arcsin\left(a x\right)\right)}}{8 \, a^{2}} - \frac{\left(3 i - 3\right) \, \sqrt{\pi} \operatorname{erf}\left(\left(i - 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{128 \, a^{2}} + \frac{\left(3 i + 3\right) \, \sqrt{\pi} \operatorname{erf}\left(-\left(i + 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{128 \, a^{2}} - \frac{3 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(2 i \, \arcsin\left(a x\right)\right)}}{32 \, a^{2}} + \frac{3 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-2 i \, \arcsin\left(a x\right)\right)}}{32 \, a^{2}}"," ",0,"-1/8*arcsin(a*x)^(3/2)*e^(2*I*arcsin(a*x))/a^2 - 1/8*arcsin(a*x)^(3/2)*e^(-2*I*arcsin(a*x))/a^2 - (3/128*I - 3/128)*sqrt(pi)*erf((I - 1)*sqrt(arcsin(a*x)))/a^2 + (3/128*I + 3/128)*sqrt(pi)*erf(-(I + 1)*sqrt(arcsin(a*x)))/a^2 - 3/32*I*sqrt(arcsin(a*x))*e^(2*I*arcsin(a*x))/a^2 + 3/32*I*sqrt(arcsin(a*x))*e^(-2*I*arcsin(a*x))/a^2","C",0
84,1,119,0,0.332512," ","integrate(arcsin(a*x)^(3/2),x, algorithm=""giac"")","-\frac{i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(i \, \arcsin\left(a x\right)\right)}}{2 \, a} + \frac{i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{2 \, a} + \frac{\left(3 i + 3\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{16 \, a} - \frac{\left(3 i - 3\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{16 \, a} + \frac{3 \, \sqrt{\arcsin\left(a x\right)} e^{\left(i \, \arcsin\left(a x\right)\right)}}{4 \, a} + \frac{3 \, \sqrt{\arcsin\left(a x\right)} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{4 \, a}"," ",0,"-1/2*I*arcsin(a*x)^(3/2)*e^(I*arcsin(a*x))/a + 1/2*I*arcsin(a*x)^(3/2)*e^(-I*arcsin(a*x))/a + (3/16*I + 3/16)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a - (3/16*I - 3/16)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a + 3/4*sqrt(arcsin(a*x))*e^(I*arcsin(a*x))/a + 3/4*sqrt(arcsin(a*x))*e^(-I*arcsin(a*x))/a","C",0
85,0,0,0,0.000000," ","integrate(arcsin(a*x)^(3/2)/x,x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(arcsin(a*x)^(3/2)/x, x)","F",0
86,1,463,0,0.321126," ","integrate(x^4*arcsin(a*x)^(5/2),x, algorithm=""giac"")","-\frac{i \, \arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(5 i \, \arcsin\left(a x\right)\right)}}{160 \, a^{5}} + \frac{i \, \arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(3 i \, \arcsin\left(a x\right)\right)}}{32 \, a^{5}} - \frac{i \, \arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(i \, \arcsin\left(a x\right)\right)}}{16 \, a^{5}} + \frac{i \, \arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{16 \, a^{5}} - \frac{i \, \arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(-3 i \, \arcsin\left(a x\right)\right)}}{32 \, a^{5}} + \frac{i \, \arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(-5 i \, \arcsin\left(a x\right)\right)}}{160 \, a^{5}} + \frac{\arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(5 i \, \arcsin\left(a x\right)\right)}}{320 \, a^{5}} - \frac{5 \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(3 i \, \arcsin\left(a x\right)\right)}}{192 \, a^{5}} + \frac{5 \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(i \, \arcsin\left(a x\right)\right)}}{32 \, a^{5}} + \frac{5 \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{32 \, a^{5}} - \frac{5 \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-3 i \, \arcsin\left(a x\right)\right)}}{192 \, a^{5}} + \frac{\arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-5 i \, \arcsin\left(a x\right)\right)}}{320 \, a^{5}} + \frac{\left(3 i - 3\right) \, \sqrt{10} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{10} \sqrt{\arcsin\left(a x\right)}\right)}{64000 \, a^{5}} - \frac{\left(3 i + 3\right) \, \sqrt{10} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{10} \sqrt{\arcsin\left(a x\right)}\right)}{64000 \, a^{5}} - \frac{\left(5 i - 5\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{4608 \, a^{5}} + \frac{\left(5 i + 5\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{4608 \, a^{5}} + \frac{\left(15 i - 15\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{256 \, a^{5}} - \frac{\left(15 i + 15\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{256 \, a^{5}} + \frac{3 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(5 i \, \arcsin\left(a x\right)\right)}}{3200 \, a^{5}} - \frac{5 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(3 i \, \arcsin\left(a x\right)\right)}}{384 \, a^{5}} + \frac{15 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(i \, \arcsin\left(a x\right)\right)}}{64 \, a^{5}} - \frac{15 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{64 \, a^{5}} + \frac{5 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-3 i \, \arcsin\left(a x\right)\right)}}{384 \, a^{5}} - \frac{3 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-5 i \, \arcsin\left(a x\right)\right)}}{3200 \, a^{5}}"," ",0,"-1/160*I*arcsin(a*x)^(5/2)*e^(5*I*arcsin(a*x))/a^5 + 1/32*I*arcsin(a*x)^(5/2)*e^(3*I*arcsin(a*x))/a^5 - 1/16*I*arcsin(a*x)^(5/2)*e^(I*arcsin(a*x))/a^5 + 1/16*I*arcsin(a*x)^(5/2)*e^(-I*arcsin(a*x))/a^5 - 1/32*I*arcsin(a*x)^(5/2)*e^(-3*I*arcsin(a*x))/a^5 + 1/160*I*arcsin(a*x)^(5/2)*e^(-5*I*arcsin(a*x))/a^5 + 1/320*arcsin(a*x)^(3/2)*e^(5*I*arcsin(a*x))/a^5 - 5/192*arcsin(a*x)^(3/2)*e^(3*I*arcsin(a*x))/a^5 + 5/32*arcsin(a*x)^(3/2)*e^(I*arcsin(a*x))/a^5 + 5/32*arcsin(a*x)^(3/2)*e^(-I*arcsin(a*x))/a^5 - 5/192*arcsin(a*x)^(3/2)*e^(-3*I*arcsin(a*x))/a^5 + 1/320*arcsin(a*x)^(3/2)*e^(-5*I*arcsin(a*x))/a^5 + (3/64000*I - 3/64000)*sqrt(10)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(10)*sqrt(arcsin(a*x)))/a^5 - (3/64000*I + 3/64000)*sqrt(10)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(10)*sqrt(arcsin(a*x)))/a^5 - (5/4608*I - 5/4608)*sqrt(6)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^5 + (5/4608*I + 5/4608)*sqrt(6)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^5 + (15/256*I - 15/256)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^5 - (15/256*I + 15/256)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^5 + 3/3200*I*sqrt(arcsin(a*x))*e^(5*I*arcsin(a*x))/a^5 - 5/384*I*sqrt(arcsin(a*x))*e^(3*I*arcsin(a*x))/a^5 + 15/64*I*sqrt(arcsin(a*x))*e^(I*arcsin(a*x))/a^5 - 15/64*I*sqrt(arcsin(a*x))*e^(-I*arcsin(a*x))/a^5 + 5/384*I*sqrt(arcsin(a*x))*e^(-3*I*arcsin(a*x))/a^5 - 3/3200*I*sqrt(arcsin(a*x))*e^(-5*I*arcsin(a*x))/a^5","C",0
87,1,297,0,0.311032," ","integrate(x^3*arcsin(a*x)^(5/2),x, algorithm=""giac"")","\frac{\arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(4 i \, \arcsin\left(a x\right)\right)}}{64 \, a^{4}} - \frac{\arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(2 i \, \arcsin\left(a x\right)\right)}}{16 \, a^{4}} - \frac{\arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(-2 i \, \arcsin\left(a x\right)\right)}}{16 \, a^{4}} + \frac{\arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(-4 i \, \arcsin\left(a x\right)\right)}}{64 \, a^{4}} + \frac{5 i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(4 i \, \arcsin\left(a x\right)\right)}}{512 \, a^{4}} - \frac{5 i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(2 i \, \arcsin\left(a x\right)\right)}}{64 \, a^{4}} + \frac{5 i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-2 i \, \arcsin\left(a x\right)\right)}}{64 \, a^{4}} - \frac{5 i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-4 i \, \arcsin\left(a x\right)\right)}}{512 \, a^{4}} - \frac{\left(15 i + 15\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(i - 1\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{32768 \, a^{4}} + \frac{\left(15 i - 15\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(i + 1\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{32768 \, a^{4}} + \frac{\left(15 i + 15\right) \, \sqrt{\pi} \operatorname{erf}\left(\left(i - 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{1024 \, a^{4}} - \frac{\left(15 i - 15\right) \, \sqrt{\pi} \operatorname{erf}\left(-\left(i + 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{1024 \, a^{4}} - \frac{15 \, \sqrt{\arcsin\left(a x\right)} e^{\left(4 i \, \arcsin\left(a x\right)\right)}}{4096 \, a^{4}} + \frac{15 \, \sqrt{\arcsin\left(a x\right)} e^{\left(2 i \, \arcsin\left(a x\right)\right)}}{256 \, a^{4}} + \frac{15 \, \sqrt{\arcsin\left(a x\right)} e^{\left(-2 i \, \arcsin\left(a x\right)\right)}}{256 \, a^{4}} - \frac{15 \, \sqrt{\arcsin\left(a x\right)} e^{\left(-4 i \, \arcsin\left(a x\right)\right)}}{4096 \, a^{4}}"," ",0,"1/64*arcsin(a*x)^(5/2)*e^(4*I*arcsin(a*x))/a^4 - 1/16*arcsin(a*x)^(5/2)*e^(2*I*arcsin(a*x))/a^4 - 1/16*arcsin(a*x)^(5/2)*e^(-2*I*arcsin(a*x))/a^4 + 1/64*arcsin(a*x)^(5/2)*e^(-4*I*arcsin(a*x))/a^4 + 5/512*I*arcsin(a*x)^(3/2)*e^(4*I*arcsin(a*x))/a^4 - 5/64*I*arcsin(a*x)^(3/2)*e^(2*I*arcsin(a*x))/a^4 + 5/64*I*arcsin(a*x)^(3/2)*e^(-2*I*arcsin(a*x))/a^4 - 5/512*I*arcsin(a*x)^(3/2)*e^(-4*I*arcsin(a*x))/a^4 - (15/32768*I + 15/32768)*sqrt(2)*sqrt(pi)*erf((I - 1)*sqrt(2)*sqrt(arcsin(a*x)))/a^4 + (15/32768*I - 15/32768)*sqrt(2)*sqrt(pi)*erf(-(I + 1)*sqrt(2)*sqrt(arcsin(a*x)))/a^4 + (15/1024*I + 15/1024)*sqrt(pi)*erf((I - 1)*sqrt(arcsin(a*x)))/a^4 - (15/1024*I - 15/1024)*sqrt(pi)*erf(-(I + 1)*sqrt(arcsin(a*x)))/a^4 - 15/4096*sqrt(arcsin(a*x))*e^(4*I*arcsin(a*x))/a^4 + 15/256*sqrt(arcsin(a*x))*e^(2*I*arcsin(a*x))/a^4 + 15/256*sqrt(arcsin(a*x))*e^(-2*I*arcsin(a*x))/a^4 - 15/4096*sqrt(arcsin(a*x))*e^(-4*I*arcsin(a*x))/a^4","C",0
88,1,309,0,0.536149," ","integrate(x^2*arcsin(a*x)^(5/2),x, algorithm=""giac"")","\frac{i \, \arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(3 i \, \arcsin\left(a x\right)\right)}}{24 \, a^{3}} - \frac{i \, \arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(i \, \arcsin\left(a x\right)\right)}}{8 \, a^{3}} + \frac{i \, \arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{8 \, a^{3}} - \frac{i \, \arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(-3 i \, \arcsin\left(a x\right)\right)}}{24 \, a^{3}} - \frac{5 \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(3 i \, \arcsin\left(a x\right)\right)}}{144 \, a^{3}} + \frac{5 \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(i \, \arcsin\left(a x\right)\right)}}{16 \, a^{3}} + \frac{5 \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{16 \, a^{3}} - \frac{5 \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-3 i \, \arcsin\left(a x\right)\right)}}{144 \, a^{3}} - \frac{\left(5 i - 5\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{3456 \, a^{3}} + \frac{\left(5 i + 5\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{3456 \, a^{3}} + \frac{\left(15 i - 15\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{128 \, a^{3}} - \frac{\left(15 i + 15\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{128 \, a^{3}} - \frac{5 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(3 i \, \arcsin\left(a x\right)\right)}}{288 \, a^{3}} + \frac{15 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(i \, \arcsin\left(a x\right)\right)}}{32 \, a^{3}} - \frac{15 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{32 \, a^{3}} + \frac{5 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-3 i \, \arcsin\left(a x\right)\right)}}{288 \, a^{3}}"," ",0,"1/24*I*arcsin(a*x)^(5/2)*e^(3*I*arcsin(a*x))/a^3 - 1/8*I*arcsin(a*x)^(5/2)*e^(I*arcsin(a*x))/a^3 + 1/8*I*arcsin(a*x)^(5/2)*e^(-I*arcsin(a*x))/a^3 - 1/24*I*arcsin(a*x)^(5/2)*e^(-3*I*arcsin(a*x))/a^3 - 5/144*arcsin(a*x)^(3/2)*e^(3*I*arcsin(a*x))/a^3 + 5/16*arcsin(a*x)^(3/2)*e^(I*arcsin(a*x))/a^3 + 5/16*arcsin(a*x)^(3/2)*e^(-I*arcsin(a*x))/a^3 - 5/144*arcsin(a*x)^(3/2)*e^(-3*I*arcsin(a*x))/a^3 - (5/3456*I - 5/3456)*sqrt(6)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^3 + (5/3456*I + 5/3456)*sqrt(6)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^3 + (15/128*I - 15/128)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^3 - (15/128*I + 15/128)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^3 - 5/288*I*sqrt(arcsin(a*x))*e^(3*I*arcsin(a*x))/a^3 + 15/32*I*sqrt(arcsin(a*x))*e^(I*arcsin(a*x))/a^3 - 15/32*I*sqrt(arcsin(a*x))*e^(-I*arcsin(a*x))/a^3 + 5/288*I*sqrt(arcsin(a*x))*e^(-3*I*arcsin(a*x))/a^3","C",0
89,1,143,0,0.282528," ","integrate(x*arcsin(a*x)^(5/2),x, algorithm=""giac"")","-\frac{\arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(2 i \, \arcsin\left(a x\right)\right)}}{8 \, a^{2}} - \frac{\arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(-2 i \, \arcsin\left(a x\right)\right)}}{8 \, a^{2}} - \frac{5 i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(2 i \, \arcsin\left(a x\right)\right)}}{32 \, a^{2}} + \frac{5 i \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-2 i \, \arcsin\left(a x\right)\right)}}{32 \, a^{2}} + \frac{\left(15 i + 15\right) \, \sqrt{\pi} \operatorname{erf}\left(\left(i - 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{512 \, a^{2}} - \frac{\left(15 i - 15\right) \, \sqrt{\pi} \operatorname{erf}\left(-\left(i + 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{512 \, a^{2}} + \frac{15 \, \sqrt{\arcsin\left(a x\right)} e^{\left(2 i \, \arcsin\left(a x\right)\right)}}{128 \, a^{2}} + \frac{15 \, \sqrt{\arcsin\left(a x\right)} e^{\left(-2 i \, \arcsin\left(a x\right)\right)}}{128 \, a^{2}}"," ",0,"-1/8*arcsin(a*x)^(5/2)*e^(2*I*arcsin(a*x))/a^2 - 1/8*arcsin(a*x)^(5/2)*e^(-2*I*arcsin(a*x))/a^2 - 5/32*I*arcsin(a*x)^(3/2)*e^(2*I*arcsin(a*x))/a^2 + 5/32*I*arcsin(a*x)^(3/2)*e^(-2*I*arcsin(a*x))/a^2 + (15/512*I + 15/512)*sqrt(pi)*erf((I - 1)*sqrt(arcsin(a*x)))/a^2 - (15/512*I - 15/512)*sqrt(pi)*erf(-(I + 1)*sqrt(arcsin(a*x)))/a^2 + 15/128*sqrt(arcsin(a*x))*e^(2*I*arcsin(a*x))/a^2 + 15/128*sqrt(arcsin(a*x))*e^(-2*I*arcsin(a*x))/a^2","C",0
90,1,155,0,0.347130," ","integrate(arcsin(a*x)^(5/2),x, algorithm=""giac"")","-\frac{i \, \arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(i \, \arcsin\left(a x\right)\right)}}{2 \, a} + \frac{i \, \arcsin\left(a x\right)^{\frac{5}{2}} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{2 \, a} + \frac{5 \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(i \, \arcsin\left(a x\right)\right)}}{4 \, a} + \frac{5 \, \arcsin\left(a x\right)^{\frac{3}{2}} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{4 \, a} + \frac{\left(15 i - 15\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{32 \, a} - \frac{\left(15 i + 15\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{32 \, a} + \frac{15 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(i \, \arcsin\left(a x\right)\right)}}{8 \, a} - \frac{15 i \, \sqrt{\arcsin\left(a x\right)} e^{\left(-i \, \arcsin\left(a x\right)\right)}}{8 \, a}"," ",0,"-1/2*I*arcsin(a*x)^(5/2)*e^(I*arcsin(a*x))/a + 1/2*I*arcsin(a*x)^(5/2)*e^(-I*arcsin(a*x))/a + 5/4*arcsin(a*x)^(3/2)*e^(I*arcsin(a*x))/a + 5/4*arcsin(a*x)^(3/2)*e^(-I*arcsin(a*x))/a + (15/32*I - 15/32)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a - (15/32*I + 15/32)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a + 15/8*I*sqrt(arcsin(a*x))*e^(I*arcsin(a*x))/a - 15/8*I*sqrt(arcsin(a*x))*e^(-I*arcsin(a*x))/a","C",0
91,0,0,0,0.000000," ","integrate(arcsin(a*x)^(5/2)/x,x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate(arcsin(a*x)^(5/2)/x, x)","F",0
92,1,139,0,0.558732," ","integrate(x^4/arcsin(a*x)^(1/2),x, algorithm=""giac"")","-\frac{\left(i + 1\right) \, \sqrt{10} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{10} \sqrt{\arcsin\left(a x\right)}\right)}{320 \, a^{5}} + \frac{\left(i - 1\right) \, \sqrt{10} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{10} \sqrt{\arcsin\left(a x\right)}\right)}{320 \, a^{5}} + \frac{\left(i + 1\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{64 \, a^{5}} - \frac{\left(i - 1\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{64 \, a^{5}} - \frac{\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{32 \, a^{5}} + \frac{\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{32 \, a^{5}}"," ",0,"-(1/320*I + 1/320)*sqrt(10)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(10)*sqrt(arcsin(a*x)))/a^5 + (1/320*I - 1/320)*sqrt(10)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(10)*sqrt(arcsin(a*x)))/a^5 + (1/64*I + 1/64)*sqrt(6)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^5 - (1/64*I - 1/64)*sqrt(6)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^5 - (1/32*I + 1/32)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^5 + (1/32*I - 1/32)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^5","C",0
93,1,81,0,0.311517," ","integrate(x^3/arcsin(a*x)^(1/2),x, algorithm=""giac"")","-\frac{\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(i - 1\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{64 \, a^{4}} + \frac{\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(i + 1\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{64 \, a^{4}} + \frac{\left(i - 1\right) \, \sqrt{\pi} \operatorname{erf}\left(\left(i - 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{16 \, a^{4}} - \frac{\left(i + 1\right) \, \sqrt{\pi} \operatorname{erf}\left(-\left(i + 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{16 \, a^{4}}"," ",0,"-(1/64*I - 1/64)*sqrt(2)*sqrt(pi)*erf((I - 1)*sqrt(2)*sqrt(arcsin(a*x)))/a^4 + (1/64*I + 1/64)*sqrt(2)*sqrt(pi)*erf(-(I + 1)*sqrt(2)*sqrt(arcsin(a*x)))/a^4 + (1/16*I - 1/16)*sqrt(pi)*erf((I - 1)*sqrt(arcsin(a*x)))/a^4 - (1/16*I + 1/16)*sqrt(pi)*erf(-(I + 1)*sqrt(arcsin(a*x)))/a^4","C",0
94,1,93,0,0.369731," ","integrate(x^2/arcsin(a*x)^(1/2),x, algorithm=""giac"")","\frac{\left(i + 1\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{48 \, a^{3}} - \frac{\left(i - 1\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{6} \sqrt{\arcsin\left(a x\right)}\right)}{48 \, a^{3}} - \frac{\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{16 \, a^{3}} + \frac{\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{16 \, a^{3}}"," ",0,"(1/48*I + 1/48)*sqrt(6)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^3 - (1/48*I - 1/48)*sqrt(6)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(6)*sqrt(arcsin(a*x)))/a^3 - (1/16*I + 1/16)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^3 + (1/16*I - 1/16)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a^3","C",0
95,1,35,0,0.309865," ","integrate(x/arcsin(a*x)^(1/2),x, algorithm=""giac"")","\frac{\left(i - 1\right) \, \sqrt{\pi} \operatorname{erf}\left(\left(i - 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{8 \, a^{2}} - \frac{\left(i + 1\right) \, \sqrt{\pi} \operatorname{erf}\left(-\left(i + 1\right) \, \sqrt{\arcsin\left(a x\right)}\right)}{8 \, a^{2}}"," ",0,"(1/8*I - 1/8)*sqrt(pi)*erf((I - 1)*sqrt(arcsin(a*x)))/a^2 - (1/8*I + 1/8)*sqrt(pi)*erf(-(I + 1)*sqrt(arcsin(a*x)))/a^2","C",0
96,1,47,0,0.589634," ","integrate(1/arcsin(a*x)^(1/2),x, algorithm=""giac"")","-\frac{\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{4 \, a} + \frac{\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(a x\right)}\right)}{4 \, a}"," ",0,"-(1/4*I + 1/4)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a + (1/4*I - 1/4)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*sqrt(arcsin(a*x)))/a","C",0
97,0,0,0,0.000000," ","integrate(1/x/arcsin(a*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{x \sqrt{\arcsin\left(a x\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(arcsin(a*x))), x)","F",0
98,0,0,0,0.000000," ","integrate(1/x^2/arcsin(a*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{x^{2} \sqrt{\arcsin\left(a x\right)}}\,{d x}"," ",0,"integrate(1/(x^2*sqrt(arcsin(a*x))), x)","F",0
99,0,0,0,0.000000," ","integrate(x^6/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x^{6}}{\arcsin\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^6/arcsin(a*x)^(3/2), x)","F",0
100,-2,0,0,0.000000," ","integrate(x^5/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
101,0,0,0,0.000000," ","integrate(x^4/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x^{4}}{\arcsin\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^4/arcsin(a*x)^(3/2), x)","F",0
102,-2,0,0,0.000000," ","integrate(x^3/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
103,0,0,0,0.000000," ","integrate(x^2/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\arcsin\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/arcsin(a*x)^(3/2), x)","F",0
104,0,0,0,0.000000," ","integrate(x/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x}{\arcsin\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/arcsin(a*x)^(3/2), x)","F",0
105,0,0,0,0.000000," ","integrate(1/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\arcsin\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(arcsin(a*x)^(-3/2), x)","F",0
106,0,0,0,0.000000," ","integrate(1/x/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{x \arcsin\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*arcsin(a*x)^(3/2)), x)","F",0
107,0,0,0,0.000000," ","integrate(x^4/arcsin(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{x^{4}}{\arcsin\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^4/arcsin(a*x)^(5/2), x)","F",0
108,-2,0,0,0.000000," ","integrate(x^3/arcsin(a*x)^(5/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
109,0,0,0,0.000000," ","integrate(x^2/arcsin(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\arcsin\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^2/arcsin(a*x)^(5/2), x)","F",0
110,0,0,0,0.000000," ","integrate(x/arcsin(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{x}{\arcsin\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x/arcsin(a*x)^(5/2), x)","F",0
111,0,0,0,0.000000," ","integrate(1/arcsin(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\arcsin\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(arcsin(a*x)^(-5/2), x)","F",0
112,0,0,0,0.000000," ","integrate(1/x/arcsin(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{1}{x \arcsin\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x*arcsin(a*x)^(5/2)), x)","F",0
113,0,0,0,0.000000," ","integrate(x^4/arcsin(a*x)^(7/2),x, algorithm=""giac"")","\int \frac{x^{4}}{\arcsin\left(a x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(x^4/arcsin(a*x)^(7/2), x)","F",0
114,-2,0,0,0.000000," ","integrate(x^3/arcsin(a*x)^(7/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
115,0,0,0,0.000000," ","integrate(x^2/arcsin(a*x)^(7/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\arcsin\left(a x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(x^2/arcsin(a*x)^(7/2), x)","F",0
116,0,0,0,0.000000," ","integrate(x/arcsin(a*x)^(7/2),x, algorithm=""giac"")","\int \frac{x}{\arcsin\left(a x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(x/arcsin(a*x)^(7/2), x)","F",0
117,0,0,0,0.000000," ","integrate(1/arcsin(a*x)^(7/2),x, algorithm=""giac"")","\int \frac{1}{\arcsin\left(a x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(arcsin(a*x)^(-7/2), x)","F",0
118,0,0,0,0.000000," ","integrate(1/x/arcsin(a*x)^(7/2),x, algorithm=""giac"")","\int \frac{1}{x \arcsin\left(a x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/(x*arcsin(a*x)^(7/2)), x)","F",0
119,0,0,0,0.000000," ","integrate((b*x)^m*arcsin(a*x)^4,x, algorithm=""giac"")","\int \left(b x\right)^{m} \arcsin\left(a x\right)^{4}\,{d x}"," ",0,"integrate((b*x)^m*arcsin(a*x)^4, x)","F",0
120,0,0,0,0.000000," ","integrate((b*x)^m*arcsin(a*x)^3,x, algorithm=""giac"")","\int \left(b x\right)^{m} \arcsin\left(a x\right)^{3}\,{d x}"," ",0,"integrate((b*x)^m*arcsin(a*x)^3, x)","F",0
121,0,0,0,0.000000," ","integrate((b*x)^m*arcsin(a*x)^2,x, algorithm=""giac"")","\int \left(b x\right)^{m} \arcsin\left(a x\right)^{2}\,{d x}"," ",0,"integrate((b*x)^m*arcsin(a*x)^2, x)","F",0
122,0,0,0,0.000000," ","integrate((b*x)^m*arcsin(a*x),x, algorithm=""giac"")","\int \left(b x\right)^{m} \arcsin\left(a x\right)\,{d x}"," ",0,"integrate((b*x)^m*arcsin(a*x), x)","F",0
123,0,0,0,0.000000," ","integrate((b*x)^m/arcsin(a*x),x, algorithm=""giac"")","\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
124,0,0,0,0.000000," ","integrate((b*x)^m/arcsin(a*x)^2,x, algorithm=""giac"")","\int \frac{\left(b x\right)^{m}}{\arcsin\left(a x\right)^{2}}\,{d x}"," ",0,"integrate((b*x)^m/arcsin(a*x)^2, x)","F",0
125,0,0,0,0.000000," ","integrate((b*x)^m*arcsin(a*x)^(3/2),x, algorithm=""giac"")","\int \left(b x\right)^{m} \arcsin\left(a x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*x)^m*arcsin(a*x)^(3/2), x)","F",0
126,0,0,0,0.000000," ","integrate((b*x)^m*arcsin(a*x)^(1/2),x, algorithm=""giac"")","\int \left(b x\right)^{m} \sqrt{\arcsin\left(a x\right)}\,{d x}"," ",0,"integrate((b*x)^m*sqrt(arcsin(a*x)), x)","F",0
127,0,0,0,0.000000," ","integrate((b*x)^m/arcsin(a*x)^(1/2),x, algorithm=""giac"")","\int \frac{\left(b x\right)^{m}}{\sqrt{\arcsin\left(a x\right)}}\,{d x}"," ",0,"integrate((b*x)^m/sqrt(arcsin(a*x)), x)","F",0
128,0,0,0,0.000000," ","integrate((b*x)^m/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{\left(b x\right)^{m}}{\arcsin\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x)^m/arcsin(a*x)^(3/2), x)","F",0
129,0,0,0,0.000000," ","integrate((b*x)^m*arcsin(a*x)^n,x, algorithm=""giac"")","\int \left(b x\right)^{m} \arcsin\left(a x\right)^{n}\,{d x}"," ",0,"integrate((b*x)^m*arcsin(a*x)^n, x)","F",0
130,0,0,0,0.000000," ","integrate(x^3*arcsin(a*x)^n,x, algorithm=""giac"")","\int x^{3} \arcsin\left(a x\right)^{n}\,{d x}"," ",0,"integrate(x^3*arcsin(a*x)^n, x)","F",0
131,0,0,0,0.000000," ","integrate(x^2*arcsin(a*x)^n,x, algorithm=""giac"")","\int x^{2} \arcsin\left(a x\right)^{n}\,{d x}"," ",0,"integrate(x^2*arcsin(a*x)^n, x)","F",0
132,0,0,0,0.000000," ","integrate(x*arcsin(a*x)^n,x, algorithm=""giac"")","\int x \arcsin\left(a x\right)^{n}\,{d x}"," ",0,"integrate(x*arcsin(a*x)^n, x)","F",0
133,0,0,0,0.000000," ","integrate(arcsin(a*x)^n,x, algorithm=""giac"")","\int \arcsin\left(a x\right)^{n}\,{d x}"," ",0,"integrate(arcsin(a*x)^n, x)","F",0
134,0,0,0,0.000000," ","integrate(arcsin(a*x)^n/x,x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{n}}{x}\,{d x}"," ",0,"integrate(arcsin(a*x)^n/x, x)","F",0
135,0,0,0,0.000000," ","integrate(arcsin(a*x)^n/x^2,x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{n}}{x^{2}}\,{d x}"," ",0,"integrate(arcsin(a*x)^n/x^2, x)","F",0
136,0,0,0,0.000000," ","integrate((b*x)^(3/2)*arcsin(a*x)^n,x, algorithm=""giac"")","\int \left(b x\right)^{\frac{3}{2}} \arcsin\left(a x\right)^{n}\,{d x}"," ",0,"integrate((b*x)^(3/2)*arcsin(a*x)^n, x)","F",0
137,0,0,0,0.000000," ","integrate((b*x)^(1/2)*arcsin(a*x)^n,x, algorithm=""giac"")","\int \sqrt{b x} \arcsin\left(a x\right)^{n}\,{d x}"," ",0,"integrate(sqrt(b*x)*arcsin(a*x)^n, x)","F",0
138,0,0,0,0.000000," ","integrate(arcsin(a*x)^n/(b*x)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{n}}{\sqrt{b x}}\,{d x}"," ",0,"integrate(arcsin(a*x)^n/sqrt(b*x), x)","F",0
139,0,0,0,0.000000," ","integrate(arcsin(a*x)^n/(b*x)^(3/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{n}}{\left(b x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(arcsin(a*x)^n/(b*x)^(3/2), x)","F",0
140,1,95,0,0.297756," ","integrate(x^3*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{4} \, a x^{4} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b x}{16 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b \arcsin\left(c x\right)}{4 \, c^{4}} + \frac{5 \, \sqrt{-c^{2} x^{2} + 1} b x}{32 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)} b \arcsin\left(c x\right)}{2 \, c^{4}} + \frac{5 \, b \arcsin\left(c x\right)}{32 \, c^{4}}"," ",0,"1/4*a*x^4 - 1/16*(-c^2*x^2 + 1)^(3/2)*b*x/c^3 + 1/4*(c^2*x^2 - 1)^2*b*arcsin(c*x)/c^4 + 5/32*sqrt(-c^2*x^2 + 1)*b*x/c^3 + 1/2*(c^2*x^2 - 1)*b*arcsin(c*x)/c^4 + 5/32*b*arcsin(c*x)/c^4","A",0
141,1,74,0,0.354385," ","integrate(x^2*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{3} \, a x^{3} + \frac{{\left(c^{2} x^{2} - 1\right)} b x \arcsin\left(c x\right)}{3 \, c^{2}} + \frac{b x \arcsin\left(c x\right)}{3 \, c^{2}} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b}{9 \, c^{3}} + \frac{\sqrt{-c^{2} x^{2} + 1} b}{3 \, c^{3}}"," ",0,"1/3*a*x^3 + 1/3*(c^2*x^2 - 1)*b*x*arcsin(c*x)/c^2 + 1/3*b*x*arcsin(c*x)/c^2 - 1/9*(-c^2*x^2 + 1)^(3/2)*b/c^3 + 1/3*sqrt(-c^2*x^2 + 1)*b/c^3","A",0
142,1,64,0,0.518123," ","integrate(x*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{\sqrt{-c^{2} x^{2} + 1} b x}{4 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)} b \arcsin\left(c x\right)}{2 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)} a}{2 \, c^{2}} + \frac{b \arcsin\left(c x\right)}{4 \, c^{2}}"," ",0,"1/4*sqrt(-c^2*x^2 + 1)*b*x/c + 1/2*(c^2*x^2 - 1)*b*arcsin(c*x)/c^2 + 1/2*(c^2*x^2 - 1)*a/c^2 + 1/4*b*arcsin(c*x)/c^2","A",0
143,1,29,0,0.463115," ","integrate(a+b*arcsin(c*x),x, algorithm=""giac"")","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=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{x}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/x, x)","F",0
145,1,325,0,0.370101," ","integrate((a+b*arcsin(c*x))/x^2,x, algorithm=""giac"")","-\frac{\sqrt{-c^{2} x^{2} + 1} b c^{2} x \arcsin\left(c x\right)}{2 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{b c^{2} x \arcsin\left(c x\right)}{2 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{\sqrt{-c^{2} x^{2} + 1} a c^{2} x}{2 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} + \frac{\sqrt{-c^{2} x^{2} + 1} b c \log\left({\left| c \right|} {\left| x \right|}\right)}{\sqrt{-c^{2} x^{2} + 1} + 1} - \frac{\sqrt{-c^{2} x^{2} + 1} b c \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{\sqrt{-c^{2} x^{2} + 1} + 1} - \frac{a c^{2} x}{2 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} + \frac{b c \log\left({\left| c \right|} {\left| x \right|}\right)}{\sqrt{-c^{2} x^{2} + 1} + 1} - \frac{b c \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{\sqrt{-c^{2} x^{2} + 1} + 1} - \frac{\sqrt{-c^{2} x^{2} + 1} b \arcsin\left(c x\right)}{2 \, x} - \frac{b \arcsin\left(c x\right)}{2 \, x} - \frac{\sqrt{-c^{2} x^{2} + 1} a}{2 \, x} - \frac{a}{2 \, x}"," ",0,"-1/2*sqrt(-c^2*x^2 + 1)*b*c^2*x*arcsin(c*x)/(sqrt(-c^2*x^2 + 1) + 1)^2 - 1/2*b*c^2*x*arcsin(c*x)/(sqrt(-c^2*x^2 + 1) + 1)^2 - 1/2*sqrt(-c^2*x^2 + 1)*a*c^2*x/(sqrt(-c^2*x^2 + 1) + 1)^2 + sqrt(-c^2*x^2 + 1)*b*c*log(abs(c)*abs(x))/(sqrt(-c^2*x^2 + 1) + 1) - sqrt(-c^2*x^2 + 1)*b*c*log(sqrt(-c^2*x^2 + 1) + 1)/(sqrt(-c^2*x^2 + 1) + 1) - 1/2*a*c^2*x/(sqrt(-c^2*x^2 + 1) + 1)^2 + b*c*log(abs(c)*abs(x))/(sqrt(-c^2*x^2 + 1) + 1) - b*c*log(sqrt(-c^2*x^2 + 1) + 1)/(sqrt(-c^2*x^2 + 1) + 1) - 1/2*sqrt(-c^2*x^2 + 1)*b*arcsin(c*x)/x - 1/2*b*arcsin(c*x)/x - 1/2*sqrt(-c^2*x^2 + 1)*a/x - 1/2*a/x","B",0
146,1,163,0,0.285104," ","integrate((a+b*arcsin(c*x))/x^3,x, algorithm=""giac"")","-\frac{b c^{4} x^{2} \arcsin\left(c x\right)}{8 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{a c^{4} x^{2}}{8 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} + \frac{b c^{3} x}{4 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{1}{4} \, b c^{2} \arcsin\left(c x\right) - \frac{1}{4} \, a c^{2} - \frac{b c {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}}{4 \, x} - \frac{b {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2} \arcsin\left(c x\right)}{8 \, x^{2}} - \frac{a {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}}{8 \, x^{2}}"," ",0,"-1/8*b*c^4*x^2*arcsin(c*x)/(sqrt(-c^2*x^2 + 1) + 1)^2 - 1/8*a*c^4*x^2/(sqrt(-c^2*x^2 + 1) + 1)^2 + 1/4*b*c^3*x/(sqrt(-c^2*x^2 + 1) + 1) - 1/4*b*c^2*arcsin(c*x) - 1/4*a*c^2 - 1/4*b*c*(sqrt(-c^2*x^2 + 1) + 1)/x - 1/8*b*(sqrt(-c^2*x^2 + 1) + 1)^2*arcsin(c*x)/x^2 - 1/8*a*(sqrt(-c^2*x^2 + 1) + 1)^2/x^2","B",0
147,1,284,0,0.917559," ","integrate((a+b*arcsin(c*x))/x^4,x, algorithm=""giac"")","-\frac{b c^{6} x^{3} \arcsin\left(c x\right)}{24 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{a c^{6} x^{3}}{24 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{b c^{5} x^{2}}{24 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{b c^{4} x \arcsin\left(c x\right)}{8 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{a c^{4} x}{8 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} + \frac{1}{6} \, b c^{3} \log\left({\left| c \right|} {\left| x \right|}\right) - \frac{1}{6} \, b c^{3} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right) - \frac{b c^{2} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)} \arcsin\left(c x\right)}{8 \, x} - \frac{a c^{2} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}}{8 \, x} - \frac{b c {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}}{24 \, x^{2}} - \frac{b {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3} \arcsin\left(c x\right)}{24 \, x^{3}} - \frac{a {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}{24 \, x^{3}}"," ",0,"-1/24*b*c^6*x^3*arcsin(c*x)/(sqrt(-c^2*x^2 + 1) + 1)^3 - 1/24*a*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + 1/24*b*c^5*x^2/(sqrt(-c^2*x^2 + 1) + 1)^2 - 1/8*b*c^4*x*arcsin(c*x)/(sqrt(-c^2*x^2 + 1) + 1) - 1/8*a*c^4*x/(sqrt(-c^2*x^2 + 1) + 1) + 1/6*b*c^3*log(abs(c)*abs(x)) - 1/6*b*c^3*log(sqrt(-c^2*x^2 + 1) + 1) - 1/8*b*c^2*(sqrt(-c^2*x^2 + 1) + 1)*arcsin(c*x)/x - 1/8*a*c^2*(sqrt(-c^2*x^2 + 1) + 1)/x - 1/24*b*c*(sqrt(-c^2*x^2 + 1) + 1)^2/x^2 - 1/24*b*(sqrt(-c^2*x^2 + 1) + 1)^3*arcsin(c*x)/x^3 - 1/24*a*(sqrt(-c^2*x^2 + 1) + 1)^3/x^3","B",0
148,1,194,0,0.387235," ","integrate(x^2*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{1}{3} \, a^{2} x^{3} + \frac{{\left(c^{2} x^{2} - 1\right)} b^{2} x \arcsin\left(c x\right)^{2}}{3 \, c^{2}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)} a b x \arcsin\left(c x\right)}{3 \, c^{2}} + \frac{b^{2} x \arcsin\left(c x\right)^{2}}{3 \, c^{2}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)} b^{2} x}{27 \, c^{2}} + \frac{2 \, a b x \arcsin\left(c x\right)}{3 \, c^{2}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} \arcsin\left(c x\right)}{9 \, c^{3}} - \frac{14 \, b^{2} x}{27 \, c^{2}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b}{9 \, c^{3}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b^{2} \arcsin\left(c x\right)}{3 \, c^{3}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} a b}{3 \, c^{3}}"," ",0,"1/3*a^2*x^3 + 1/3*(c^2*x^2 - 1)*b^2*x*arcsin(c*x)^2/c^2 + 2/3*(c^2*x^2 - 1)*a*b*x*arcsin(c*x)/c^2 + 1/3*b^2*x*arcsin(c*x)^2/c^2 - 2/27*(c^2*x^2 - 1)*b^2*x/c^2 + 2/3*a*b*x*arcsin(c*x)/c^2 - 2/9*(-c^2*x^2 + 1)^(3/2)*b^2*arcsin(c*x)/c^3 - 14/27*b^2*x/c^2 - 2/9*(-c^2*x^2 + 1)^(3/2)*a*b/c^3 + 2/3*sqrt(-c^2*x^2 + 1)*b^2*arcsin(c*x)/c^3 + 2/3*sqrt(-c^2*x^2 + 1)*a*b/c^3","B",0
149,1,155,0,0.264435," ","integrate(x*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{\sqrt{-c^{2} x^{2} + 1} b^{2} x \arcsin\left(c x\right)}{2 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)} b^{2} \arcsin\left(c x\right)^{2}}{2 \, c^{2}} + \frac{\sqrt{-c^{2} x^{2} + 1} a b x}{2 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)} a b \arcsin\left(c x\right)}{c^{2}} + \frac{b^{2} \arcsin\left(c x\right)^{2}}{4 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)} a^{2}}{2 \, c^{2}} - \frac{{\left(c^{2} x^{2} - 1\right)} b^{2}}{4 \, c^{2}} + \frac{a b \arcsin\left(c x\right)}{2 \, c^{2}} - \frac{b^{2}}{8 \, c^{2}}"," ",0,"1/2*sqrt(-c^2*x^2 + 1)*b^2*x*arcsin(c*x)/c + 1/2*(c^2*x^2 - 1)*b^2*arcsin(c*x)^2/c^2 + 1/2*sqrt(-c^2*x^2 + 1)*a*b*x/c + (c^2*x^2 - 1)*a*b*arcsin(c*x)/c^2 + 1/4*b^2*arcsin(c*x)^2/c^2 + 1/2*(c^2*x^2 - 1)*a^2/c^2 - 1/4*(c^2*x^2 - 1)*b^2/c^2 + 1/2*a*b*arcsin(c*x)/c^2 - 1/8*b^2/c^2","B",0
150,1,75,0,0.400083," ","integrate((a+b*arcsin(c*x))^2,x, algorithm=""giac"")","b^{2} x \arcsin\left(c x\right)^{2} + 2 \, a b x \arcsin\left(c x\right) + a^{2} x - 2 \, b^{2} x + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b^{2} \arcsin\left(c x\right)}{c} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} a b}{c}"," ",0,"b^2*x*arcsin(c*x)^2 + 2*a*b*x*arcsin(c*x) + a^2*x - 2*b^2*x + 2*sqrt(-c^2*x^2 + 1)*b^2*arcsin(c*x)/c + 2*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=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/x, x)","F",0
152,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/x^2, x)","F",0
153,1,368,0,0.594695," ","integrate(x^2*(a+b*arcsin(c*x))^3,x, algorithm=""giac"")","\frac{1}{3} \, a^{3} x^{3} + \frac{{\left(c^{2} x^{2} - 1\right)} b^{3} x \arcsin\left(c x\right)^{3}}{3 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)} a b^{2} x \arcsin\left(c x\right)^{2}}{c^{2}} + \frac{b^{3} x \arcsin\left(c x\right)^{3}}{3 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)} a^{2} b x \arcsin\left(c x\right)}{c^{2}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)} b^{3} x \arcsin\left(c x\right)}{9 \, c^{2}} + \frac{a b^{2} x \arcsin\left(c x\right)^{2}}{c^{2}} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{3} \arcsin\left(c x\right)^{2}}{3 \, c^{3}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)} a b^{2} x}{9 \, c^{2}} + \frac{a^{2} b x \arcsin\left(c x\right)}{c^{2}} - \frac{14 \, b^{3} x \arcsin\left(c x\right)}{9 \, c^{2}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b^{2} \arcsin\left(c x\right)}{3 \, c^{3}} + \frac{\sqrt{-c^{2} x^{2} + 1} b^{3} \arcsin\left(c x\right)^{2}}{c^{3}} - \frac{14 \, a b^{2} x}{9 \, c^{2}} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a^{2} b}{3 \, c^{3}} + \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{3}}{27 \, c^{3}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} a b^{2} \arcsin\left(c x\right)}{c^{3}} + \frac{\sqrt{-c^{2} x^{2} + 1} a^{2} b}{c^{3}} - \frac{14 \, \sqrt{-c^{2} x^{2} + 1} b^{3}}{9 \, c^{3}}"," ",0,"1/3*a^3*x^3 + 1/3*(c^2*x^2 - 1)*b^3*x*arcsin(c*x)^3/c^2 + (c^2*x^2 - 1)*a*b^2*x*arcsin(c*x)^2/c^2 + 1/3*b^3*x*arcsin(c*x)^3/c^2 + (c^2*x^2 - 1)*a^2*b*x*arcsin(c*x)/c^2 - 2/9*(c^2*x^2 - 1)*b^3*x*arcsin(c*x)/c^2 + a*b^2*x*arcsin(c*x)^2/c^2 - 1/3*(-c^2*x^2 + 1)^(3/2)*b^3*arcsin(c*x)^2/c^3 - 2/9*(c^2*x^2 - 1)*a*b^2*x/c^2 + a^2*b*x*arcsin(c*x)/c^2 - 14/9*b^3*x*arcsin(c*x)/c^2 - 2/3*(-c^2*x^2 + 1)^(3/2)*a*b^2*arcsin(c*x)/c^3 + sqrt(-c^2*x^2 + 1)*b^3*arcsin(c*x)^2/c^3 - 14/9*a*b^2*x/c^2 - 1/3*(-c^2*x^2 + 1)^(3/2)*a^2*b/c^3 + 2/27*(-c^2*x^2 + 1)^(3/2)*b^3/c^3 + 2*sqrt(-c^2*x^2 + 1)*a*b^2*arcsin(c*x)/c^3 + sqrt(-c^2*x^2 + 1)*a^2*b/c^3 - 14/9*sqrt(-c^2*x^2 + 1)*b^3/c^3","B",0
154,1,285,0,0.419670," ","integrate(x*(a+b*arcsin(c*x))^3,x, algorithm=""giac"")","\frac{3 \, \sqrt{-c^{2} x^{2} + 1} b^{3} x \arcsin\left(c x\right)^{2}}{4 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)} b^{3} \arcsin\left(c x\right)^{3}}{2 \, c^{2}} + \frac{3 \, \sqrt{-c^{2} x^{2} + 1} a b^{2} x \arcsin\left(c x\right)}{2 \, c} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)} a b^{2} \arcsin\left(c x\right)^{2}}{2 \, c^{2}} + \frac{b^{3} \arcsin\left(c x\right)^{3}}{4 \, c^{2}} + \frac{3 \, \sqrt{-c^{2} x^{2} + 1} a^{2} b x}{4 \, c} - \frac{3 \, \sqrt{-c^{2} x^{2} + 1} b^{3} x}{8 \, c} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)} a^{2} b \arcsin\left(c x\right)}{2 \, c^{2}} - \frac{3 \, {\left(c^{2} x^{2} - 1\right)} b^{3} \arcsin\left(c x\right)}{4 \, c^{2}} + \frac{3 \, a b^{2} \arcsin\left(c x\right)^{2}}{4 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)} a^{3}}{2 \, c^{2}} - \frac{3 \, {\left(c^{2} x^{2} - 1\right)} a b^{2}}{4 \, c^{2}} + \frac{3 \, a^{2} b \arcsin\left(c x\right)}{4 \, c^{2}} - \frac{3 \, b^{3} \arcsin\left(c x\right)}{8 \, c^{2}} - \frac{3 \, a b^{2}}{8 \, c^{2}}"," ",0,"3/4*sqrt(-c^2*x^2 + 1)*b^3*x*arcsin(c*x)^2/c + 1/2*(c^2*x^2 - 1)*b^3*arcsin(c*x)^3/c^2 + 3/2*sqrt(-c^2*x^2 + 1)*a*b^2*x*arcsin(c*x)/c + 3/2*(c^2*x^2 - 1)*a*b^2*arcsin(c*x)^2/c^2 + 1/4*b^3*arcsin(c*x)^3/c^2 + 3/4*sqrt(-c^2*x^2 + 1)*a^2*b*x/c - 3/8*sqrt(-c^2*x^2 + 1)*b^3*x/c + 3/2*(c^2*x^2 - 1)*a^2*b*arcsin(c*x)/c^2 - 3/4*(c^2*x^2 - 1)*b^3*arcsin(c*x)/c^2 + 3/4*a*b^2*arcsin(c*x)^2/c^2 + 1/2*(c^2*x^2 - 1)*a^3/c^2 - 3/4*(c^2*x^2 - 1)*a*b^2/c^2 + 3/4*a^2*b*arcsin(c*x)/c^2 - 3/8*b^3*arcsin(c*x)/c^2 - 3/8*a*b^2/c^2","B",0
155,1,150,0,0.625190," ","integrate((a+b*arcsin(c*x))^3,x, algorithm=""giac"")","b^{3} x \arcsin\left(c x\right)^{3} + 3 \, a b^{2} x \arcsin\left(c x\right)^{2} + 3 \, a^{2} b x \arcsin\left(c x\right) - 6 \, b^{3} x \arcsin\left(c x\right) + \frac{3 \, \sqrt{-c^{2} x^{2} + 1} b^{3} \arcsin\left(c x\right)^{2}}{c} + a^{3} x - 6 \, a b^{2} x + \frac{6 \, \sqrt{-c^{2} x^{2} + 1} a b^{2} \arcsin\left(c x\right)}{c} + \frac{3 \, \sqrt{-c^{2} x^{2} + 1} a^{2} b}{c} - \frac{6 \, \sqrt{-c^{2} x^{2} + 1} b^{3}}{c}"," ",0,"b^3*x*arcsin(c*x)^3 + 3*a*b^2*x*arcsin(c*x)^2 + 3*a^2*b*x*arcsin(c*x) - 6*b^3*x*arcsin(c*x) + 3*sqrt(-c^2*x^2 + 1)*b^3*arcsin(c*x)^2/c + a^3*x - 6*a*b^2*x + 6*sqrt(-c^2*x^2 + 1)*a*b^2*arcsin(c*x)/c + 3*sqrt(-c^2*x^2 + 1)*a^2*b/c - 6*sqrt(-c^2*x^2 + 1)*b^3/c","A",0
156,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^3/x,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{3}}{x}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^3/x, x)","F",0
157,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^3/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{3}}{x^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^3/x^2, x)","F",0
158,1,173,0,0.447777," ","integrate(x^2/(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{\cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{b c^{3}} - \frac{\cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{b c^{3}} + \frac{3 \, \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{4 \, b c^{3}} + \frac{\cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{4 \, b c^{3}} + \frac{\sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{4 \, b c^{3}} + \frac{\sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{4 \, b c^{3}}"," ",0,"-cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))/(b*c^3) - cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^3) + 3/4*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))/(b*c^3) + 1/4*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b*c^3) + 1/4*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^3) + 1/4*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b*c^3)","A",0
159,1,86,0,0.316209," ","integrate(x/(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{\cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b c^{2}} + \frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b c^{2}} - \frac{\operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{2 \, b c^{2}}"," ",0,"-cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b*c^2) + cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b*c^2) - 1/2*sin_integral(2*a/b + 2*arcsin(c*x))/(b*c^2)","A",0
160,1,49,0,0.644279," ","integrate(1/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{\cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{b c} + \frac{\sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{b c}"," ",0,"cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b*c) + sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b*c)","A",0
161,-2,0,0,0.000000," ","integrate(1/x/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Not invertible Error: Bad Argument Value","F(-2)",0
162,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\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
163,1,646,0,0.612793," ","integrate(x^2/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{3 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{3 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{3 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{3 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{3 \, b \arcsin\left(c x\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{b \arcsin\left(c x\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{9 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{3 \, a \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{a \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{9 \, a \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{a \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{\sqrt{-c^{2} x^{2} + 1} b}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}}"," ",0,"-3*b*arcsin(c*x)*cos(a/b)^2*cos_integral(3*a/b + 3*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 3*b*arcsin(c*x)*cos(a/b)^3*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 3*a*cos(a/b)^2*cos_integral(3*a/b + 3*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 3*a*cos(a/b)^3*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 3/4*b*arcsin(c*x)*cos_integral(3*a/b + 3*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/4*b*arcsin(c*x)*cos_integral(a/b + arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 9/4*b*arcsin(c*x)*cos(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 1/4*b*arcsin(c*x)*cos(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 3/4*a*cos_integral(3*a/b + 3*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/4*a*cos_integral(a/b + arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 9/4*a*cos(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 1/4*a*cos(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + (-c^2*x^2 + 1)^(3/2)*b/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - sqrt(-c^2*x^2 + 1)*b/(b^3*c^3*arcsin(c*x) + a*b^2*c^3)","B",0
164,1,326,0,0.657815," ","integrate(x/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{2 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{2 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{2 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{2 \, a \cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} - \frac{\sqrt{-c^{2} x^{2} + 1} b c x}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} - \frac{b \arcsin\left(c x\right) \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} - \frac{a \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}}"," ",0,"2*b*arcsin(c*x)*cos(a/b)^2*cos_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 2*b*arcsin(c*x)*cos(a/b)*sin(a/b)*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 2*a*cos(a/b)^2*cos_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 2*a*cos(a/b)*sin(a/b)*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - sqrt(-c^2*x^2 + 1)*b*c*x/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - b*arcsin(c*x)*cos_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - a*cos_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2)","B",0
165,1,192,0,0.493266," ","integrate(1/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{b \arcsin\left(c x\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} + \frac{a \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{a \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{\sqrt{-c^{2} x^{2} + 1} b}{b^{3} c \arcsin\left(c x\right) + a b^{2} c}"," ",0,"b*arcsin(c*x)*cos_integral(a/b + arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) - b*arcsin(c*x)*cos(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + a*cos_integral(a/b + arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) - a*cos(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - sqrt(-c^2*x^2 + 1)*b/(b^3*c*arcsin(c*x) + a*b^2*c)","B",0
166,0,0,0,0.000000," ","integrate(1/x/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x}\,{d x}"," ",0,"integrate(1/((b*arcsin(c*x) + a)^2*x), x)","F",0
167,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/((b*arcsin(c*x) + a)^2*x^2), x)","F",0
168,1,1539,0,0.821999," ","integrate(x^2/(a+b*arcsin(c*x))^3,x, algorithm=""giac"")","\frac{9 \, b^{2} \arcsin\left(c x\right)^{2} \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{2 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{9 \, b^{2} \arcsin\left(c x\right)^{2} \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{2 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{9 \, a b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}} + \frac{9 \, a b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)} b^{2} c x \arcsin\left(c x\right)}{2 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{27 \, b^{2} \arcsin\left(c x\right)^{2} \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{9 \, a^{2} \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{2 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{b^{2} \arcsin\left(c x\right)^{2} \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{8 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{9 \, b^{2} \arcsin\left(c x\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{9 \, a^{2} \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{2 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{b^{2} \arcsin\left(c x\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{8 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)} a b c x}{2 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{b^{2} c x \arcsin\left(c x\right)}{2 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{27 \, a b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{a b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{4 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{9 \, a b \arcsin\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{a b \arcsin\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{4 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{a b c x}{2 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{27 \, a^{2} \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{a^{2} \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{8 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{9 \, a^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{a^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{8 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2}}{2 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{\sqrt{-c^{2} x^{2} + 1} b^{2}}{2 \, {\left(b^{5} c^{3} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arcsin\left(c x\right) + a^{2} b^{3} c^{3}\right)}}"," ",0,"9/2*b^2*arcsin(c*x)^2*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) + 9/2*b^2*arcsin(c*x)^2*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) + 9*a*b*arcsin(c*x)*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) + 9*a*b*arcsin(c*x)*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) + 3/2*(c^2*x^2 - 1)*b^2*c*x*arcsin(c*x)/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) - 27/8*b^2*arcsin(c*x)^2*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) + 9/2*a^2*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) - 1/8*b^2*arcsin(c*x)^2*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) - 9/8*b^2*arcsin(c*x)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) + 9/2*a^2*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) - 1/8*b^2*arcsin(c*x)^2*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) + 3/2*(c^2*x^2 - 1)*a*b*c*x/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) + 1/2*b^2*c*x*arcsin(c*x)/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) - 27/4*a*b*arcsin(c*x)*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) - 1/4*a*b*arcsin(c*x)*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) - 9/4*a*b*arcsin(c*x)*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) - 1/4*a*b*arcsin(c*x)*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) + 1/2*a*b*c*x/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) - 27/8*a^2*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) - 1/8*a^2*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) - 9/8*a^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) - 1/8*a^2*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) + 1/2*(-c^2*x^2 + 1)^(3/2)*b^2/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3) - 1/2*sqrt(-c^2*x^2 + 1)*b^2/(b^5*c^3*arcsin(c*x)^2 + 2*a*b^4*c^3*arcsin(c*x) + a^2*b^3*c^3)","B",0
169,1,864,0,1.515306," ","integrate(x/(a+b*arcsin(c*x))^3,x, algorithm=""giac"")","\frac{2 \, b^{2} \arcsin\left(c x\right)^{2} \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{5} c^{2} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arcsin\left(c x\right) + a^{2} b^{3} c^{2}} - \frac{2 \, b^{2} \arcsin\left(c x\right)^{2} \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{5} c^{2} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arcsin\left(c x\right) + a^{2} b^{3} c^{2}} + \frac{4 \, a b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{5} c^{2} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arcsin\left(c x\right) + a^{2} b^{3} c^{2}} - \frac{4 \, a b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{5} c^{2} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arcsin\left(c x\right) + a^{2} b^{3} c^{2}} + \frac{2 \, a^{2} \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{5} c^{2} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arcsin\left(c x\right) + a^{2} b^{3} c^{2}} + \frac{b^{2} \arcsin\left(c x\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{5} c^{2} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arcsin\left(c x\right) + a^{2} b^{3} c^{2}} - \frac{2 \, a^{2} \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{5} c^{2} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arcsin\left(c x\right) + a^{2} b^{3} c^{2}} - \frac{\sqrt{-c^{2} x^{2} + 1} b^{2} c x}{2 \, {\left(b^{5} c^{2} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arcsin\left(c x\right) + a^{2} b^{3} c^{2}\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)} b^{2} \arcsin\left(c x\right)}{b^{5} c^{2} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arcsin\left(c x\right) + a^{2} b^{3} c^{2}} + \frac{2 \, a b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{5} c^{2} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arcsin\left(c x\right) + a^{2} b^{3} c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)} a b}{b^{5} c^{2} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arcsin\left(c x\right) + a^{2} b^{3} c^{2}} + \frac{b^{2} \arcsin\left(c x\right)}{2 \, {\left(b^{5} c^{2} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arcsin\left(c x\right) + a^{2} b^{3} c^{2}\right)}} + \frac{a^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{5} c^{2} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arcsin\left(c x\right) + a^{2} b^{3} c^{2}} + \frac{a b}{2 \, {\left(b^{5} c^{2} \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arcsin\left(c x\right) + a^{2} b^{3} c^{2}\right)}}"," ",0,"2*b^2*arcsin(c*x)^2*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^5*c^2*arcsin(c*x)^2 + 2*a*b^4*c^2*arcsin(c*x) + a^2*b^3*c^2) - 2*b^2*arcsin(c*x)^2*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^5*c^2*arcsin(c*x)^2 + 2*a*b^4*c^2*arcsin(c*x) + a^2*b^3*c^2) + 4*a*b*arcsin(c*x)*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^5*c^2*arcsin(c*x)^2 + 2*a*b^4*c^2*arcsin(c*x) + a^2*b^3*c^2) - 4*a*b*arcsin(c*x)*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^5*c^2*arcsin(c*x)^2 + 2*a*b^4*c^2*arcsin(c*x) + a^2*b^3*c^2) + 2*a^2*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^5*c^2*arcsin(c*x)^2 + 2*a*b^4*c^2*arcsin(c*x) + a^2*b^3*c^2) + b^2*arcsin(c*x)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^5*c^2*arcsin(c*x)^2 + 2*a*b^4*c^2*arcsin(c*x) + a^2*b^3*c^2) - 2*a^2*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^5*c^2*arcsin(c*x)^2 + 2*a*b^4*c^2*arcsin(c*x) + a^2*b^3*c^2) - 1/2*sqrt(-c^2*x^2 + 1)*b^2*c*x/(b^5*c^2*arcsin(c*x)^2 + 2*a*b^4*c^2*arcsin(c*x) + a^2*b^3*c^2) + (c^2*x^2 - 1)*b^2*arcsin(c*x)/(b^5*c^2*arcsin(c*x)^2 + 2*a*b^4*c^2*arcsin(c*x) + a^2*b^3*c^2) + 2*a*b*arcsin(c*x)*sin_integral(2*a/b + 2*arcsin(c*x))/(b^5*c^2*arcsin(c*x)^2 + 2*a*b^4*c^2*arcsin(c*x) + a^2*b^3*c^2) + (c^2*x^2 - 1)*a*b/(b^5*c^2*arcsin(c*x)^2 + 2*a*b^4*c^2*arcsin(c*x) + a^2*b^3*c^2) + 1/2*b^2*arcsin(c*x)/(b^5*c^2*arcsin(c*x)^2 + 2*a*b^4*c^2*arcsin(c*x) + a^2*b^3*c^2) + a^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^5*c^2*arcsin(c*x)^2 + 2*a*b^4*c^2*arcsin(c*x) + a^2*b^3*c^2) + 1/2*a*b/(b^5*c^2*arcsin(c*x)^2 + 2*a*b^4*c^2*arcsin(c*x) + a^2*b^3*c^2)","B",0
170,1,482,0,1.072556," ","integrate(1/(a+b*arcsin(c*x))^3,x, algorithm=""giac"")","-\frac{b^{2} \arcsin\left(c x\right)^{2} \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{2 \, {\left(b^{5} c \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c \arcsin\left(c x\right) + a^{2} b^{3} c\right)}} - \frac{b^{2} \arcsin\left(c x\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{2 \, {\left(b^{5} c \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c \arcsin\left(c x\right) + a^{2} b^{3} c\right)}} + \frac{b^{2} c x \arcsin\left(c x\right)}{2 \, {\left(b^{5} c \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c \arcsin\left(c x\right) + a^{2} b^{3} c\right)}} - \frac{a b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{b^{5} c \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c \arcsin\left(c x\right) + a^{2} b^{3} c} - \frac{a b \arcsin\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{b^{5} c \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c \arcsin\left(c x\right) + a^{2} b^{3} c} + \frac{a b c x}{2 \, {\left(b^{5} c \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c \arcsin\left(c x\right) + a^{2} b^{3} c\right)}} - \frac{a^{2} \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{2 \, {\left(b^{5} c \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c \arcsin\left(c x\right) + a^{2} b^{3} c\right)}} - \frac{a^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{2 \, {\left(b^{5} c \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c \arcsin\left(c x\right) + a^{2} b^{3} c\right)}} - \frac{\sqrt{-c^{2} x^{2} + 1} b^{2}}{2 \, {\left(b^{5} c \arcsin\left(c x\right)^{2} + 2 \, a b^{4} c \arcsin\left(c x\right) + a^{2} b^{3} c\right)}}"," ",0,"-1/2*b^2*arcsin(c*x)^2*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^5*c*arcsin(c*x)^2 + 2*a*b^4*c*arcsin(c*x) + a^2*b^3*c) - 1/2*b^2*arcsin(c*x)^2*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^5*c*arcsin(c*x)^2 + 2*a*b^4*c*arcsin(c*x) + a^2*b^3*c) + 1/2*b^2*c*x*arcsin(c*x)/(b^5*c*arcsin(c*x)^2 + 2*a*b^4*c*arcsin(c*x) + a^2*b^3*c) - a*b*arcsin(c*x)*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^5*c*arcsin(c*x)^2 + 2*a*b^4*c*arcsin(c*x) + a^2*b^3*c) - a*b*arcsin(c*x)*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^5*c*arcsin(c*x)^2 + 2*a*b^4*c*arcsin(c*x) + a^2*b^3*c) + 1/2*a*b*c*x/(b^5*c*arcsin(c*x)^2 + 2*a*b^4*c*arcsin(c*x) + a^2*b^3*c) - 1/2*a^2*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^5*c*arcsin(c*x)^2 + 2*a*b^4*c*arcsin(c*x) + a^2*b^3*c) - 1/2*a^2*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^5*c*arcsin(c*x)^2 + 2*a*b^4*c*arcsin(c*x) + a^2*b^3*c) - 1/2*sqrt(-c^2*x^2 + 1)*b^2/(b^5*c*arcsin(c*x)^2 + 2*a*b^4*c*arcsin(c*x) + a^2*b^3*c)","B",0
171,0,0,0,0.000000," ","integrate(1/x/(a+b*arcsin(c*x))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b \arcsin\left(c x\right) + a\right)}^{3} x}\,{d x}"," ",0,"integrate(1/((b*arcsin(c*x) + a)^3*x), x)","F",0
172,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arcsin(c*x))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b \arcsin\left(c x\right) + a\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate(1/((b*arcsin(c*x) + a)^3*x^2), x)","F",0
173,1,1057,0,2.133178," ","integrate(x^2*(a+b*arcsin(c*x))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} a b \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{8 \, {\left(\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \sqrt{2} \sqrt{\pi} b^{2} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{16 \, {\left(\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{2} \sqrt{\pi} a b \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{8 \, {\left(-\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{i \, \sqrt{2} \sqrt{\pi} b^{2} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{16 \, {\left(-\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a \sqrt{b} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} b + \frac{i \, \sqrt{6} b^{2}}{{\left| b \right|}}\right)} c^{3}} - \frac{i \, \sqrt{\pi} b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{24 \, {\left(\sqrt{6} b + \frac{i \, \sqrt{6} b^{2}}{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a \sqrt{b} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} b - \frac{i \, \sqrt{6} b^{2}}{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \sqrt{\pi} b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{24 \, {\left(\sqrt{6} b - \frac{i \, \sqrt{6} b^{2}}{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} a \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} \sqrt{b} + \frac{i \, \sqrt{6} b^{\frac{3}{2}}}{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{4 \, c^{3} {\left(\frac{i \, \sqrt{2} b}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)}} - \frac{\sqrt{\pi} a \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{4 \, c^{3} {\left(-\frac{i \, \sqrt{2} b}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)}} + \frac{\sqrt{\pi} a \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} \sqrt{b} - \frac{i \, \sqrt{6} b^{\frac{3}{2}}}{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(3 i \, \arcsin\left(c x\right)\right)}}{24 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(i \, \arcsin\left(c x\right)\right)}}{8 \, c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(-i \, \arcsin\left(c x\right)\right)}}{8 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(-3 i \, \arcsin\left(c x\right)\right)}}{24 \, c^{3}}"," ",0,"1/8*sqrt(2)*sqrt(pi)*a*b*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) + 1/16*I*sqrt(2)*sqrt(pi)*b^2*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) + 1/8*sqrt(2)*sqrt(pi)*a*b*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) - 1/16*I*sqrt(2)*sqrt(pi)*b^2*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) - 1/4*sqrt(pi)*a*sqrt(b)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*b + I*sqrt(6)*b^2/abs(b))*c^3) - 1/24*I*sqrt(pi)*b^(3/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*b + I*sqrt(6)*b^2/abs(b))*c^3) - 1/4*sqrt(pi)*a*sqrt(b)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*b - I*sqrt(6)*b^2/abs(b))*c^3) + 1/24*I*sqrt(pi)*b^(3/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*b - I*sqrt(6)*b^2/abs(b))*c^3) + 1/4*sqrt(pi)*a*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*sqrt(b) + I*sqrt(6)*b^(3/2)/abs(b))*c^3) - 1/4*sqrt(pi)*a*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/(c^3*(I*sqrt(2)*b/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))) - 1/4*sqrt(pi)*a*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/(c^3*(-I*sqrt(2)*b/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))) + 1/4*sqrt(pi)*a*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*sqrt(b) - I*sqrt(6)*b^(3/2)/abs(b))*c^3) + 1/24*I*sqrt(b*arcsin(c*x) + a)*e^(3*I*arcsin(c*x))/c^3 - 1/8*I*sqrt(b*arcsin(c*x) + a)*e^(I*arcsin(c*x))/c^3 + 1/8*I*sqrt(b*arcsin(c*x) + a)*e^(-I*arcsin(c*x))/c^3 - 1/24*I*sqrt(b*arcsin(c*x) + a)*e^(-3*I*arcsin(c*x))/c^3","C",0
174,1,448,0,1.459813," ","integrate(x*(a+b*arcsin(c*x))^(1/2),x, algorithm=""giac"")","\frac{i \, \sqrt{\pi} a \sqrt{b} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{4 \, {\left(b + \frac{i \, b^{2}}{{\left| b \right|}}\right)} c^{2}} - \frac{\sqrt{\pi} b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{16 \, {\left(b + \frac{i \, b^{2}}{{\left| b \right|}}\right)} c^{2}} - \frac{i \, \sqrt{\pi} a \sqrt{b} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{4 \, {\left(b - \frac{i \, b^{2}}{{\left| b \right|}}\right)} c^{2}} - \frac{\sqrt{\pi} b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{16 \, {\left(b - \frac{i \, b^{2}}{{\left| b \right|}}\right)} c^{2}} + \frac{i \, \sqrt{\pi} a \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{4 \, c^{2} {\left(\sqrt{b} - \frac{i \, b^{\frac{3}{2}}}{{\left| b \right|}}\right)}} - \frac{i \, \sqrt{\pi} a \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{4 \, \sqrt{b} c^{2} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} e^{\left(2 i \, \arcsin\left(c x\right)\right)}}{8 \, c^{2}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} e^{\left(-2 i \, \arcsin\left(c x\right)\right)}}{8 \, c^{2}}"," ",0,"1/4*I*sqrt(pi)*a*sqrt(b)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/((b + I*b^2/abs(b))*c^2) - 1/16*sqrt(pi)*b^(3/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/((b + I*b^2/abs(b))*c^2) - 1/4*I*sqrt(pi)*a*sqrt(b)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/((b - I*b^2/abs(b))*c^2) - 1/16*sqrt(pi)*b^(3/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/((b - I*b^2/abs(b))*c^2) + 1/4*I*sqrt(pi)*a*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/(c^2*(sqrt(b) - I*b^(3/2)/abs(b))) - 1/4*I*sqrt(pi)*a*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/(sqrt(b)*c^2*(I*b/abs(b) + 1)) - 1/8*sqrt(b*arcsin(c*x) + a)*e^(2*I*arcsin(c*x))/c^2 - 1/8*sqrt(b*arcsin(c*x) + a)*e^(-2*I*arcsin(c*x))/c^2","C",0
175,1,531,0,2.051253," ","integrate((a+b*arcsin(c*x))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} a b \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{2 \, {\left(\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} + \frac{i \, \sqrt{2} \sqrt{\pi} b^{2} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{4 \, {\left(\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{2} \sqrt{\pi} a b \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{2 \, {\left(-\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} - \frac{i \, \sqrt{2} \sqrt{\pi} b^{2} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{4 \, {\left(-\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} - \frac{\sqrt{\pi} a \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{c {\left(\frac{i \, \sqrt{2} b}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)}} - \frac{\sqrt{\pi} a \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{c {\left(-\frac{i \, \sqrt{2} b}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(i \, \arcsin\left(c x\right)\right)}}{2 \, c} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(-i \, \arcsin\left(c x\right)\right)}}{2 \, c}"," ",0,"1/2*sqrt(2)*sqrt(pi)*a*b*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c) + 1/4*I*sqrt(2)*sqrt(pi)*b^2*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c) + 1/2*sqrt(2)*sqrt(pi)*a*b*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c) - 1/4*I*sqrt(2)*sqrt(pi)*b^2*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c) - sqrt(pi)*a*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/(c*(I*sqrt(2)*b/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))) - sqrt(pi)*a*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/(c*(-I*sqrt(2)*b/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))) - 1/2*I*sqrt(b*arcsin(c*x) + a)*e^(I*arcsin(c*x))/c + 1/2*I*sqrt(b*arcsin(c*x) + a)*e^(-I*arcsin(c*x))/c","C",0
176,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(1/2)/x,x, algorithm=""giac"")","\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=""giac"")","\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
178,1,1967,0,4.168324," ","integrate(x^2*(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{8 \, {\left(\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \sqrt{2} \sqrt{\pi} a b^{3} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{8 \, {\left(\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{2} \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{8 \, {\left(-\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{i \, \sqrt{2} \sqrt{\pi} a b^{3} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{8 \, {\left(-\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a^{2} b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} b^{2} + \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} - \frac{i \, \sqrt{\pi} a b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{12 \, {\left(\sqrt{6} b^{2} + \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} - \frac{i \, \sqrt{2} \sqrt{\pi} a b^{2} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{8 \, {\left(\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{3 \, \sqrt{2} \sqrt{\pi} b^{3} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{32 \, {\left(\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \sqrt{2} \sqrt{\pi} a b^{2} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{8 \, {\left(-\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{3 \, \sqrt{2} \sqrt{\pi} b^{3} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{32 \, {\left(-\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a^{2} b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} b^{2} - \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \sqrt{\pi} a b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{12 \, {\left(\sqrt{6} b^{2} - \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} a^{2} b \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} b^{\frac{3}{2}} + \frac{i \, \sqrt{6} b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \sqrt{\pi} a b^{2} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{12 \, {\left(\sqrt{6} b^{\frac{3}{2}} + \frac{i \, \sqrt{6} b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a^{2} b \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{4 \, {\left(\frac{i \, \sqrt{2} b^{2}}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a^{2} b \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{4 \, {\left(-\frac{i \, \sqrt{2} b^{2}}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} a^{2} b \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} b^{\frac{3}{2}} - \frac{i \, \sqrt{6} b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{3}} - \frac{i \, \sqrt{\pi} a b^{2} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{12 \, {\left(\sqrt{6} b^{\frac{3}{2}} - \frac{i \, \sqrt{6} b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{48 \, {\left(\sqrt{6} b + \frac{i \, \sqrt{6} b^{2}}{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{48 \, {\left(\sqrt{6} b - \frac{i \, \sqrt{6} b^{2}}{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} b \arcsin\left(c x\right) e^{\left(3 i \, \arcsin\left(c x\right)\right)}}{24 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} b \arcsin\left(c x\right) e^{\left(i \, \arcsin\left(c x\right)\right)}}{8 \, c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} b \arcsin\left(c x\right) e^{\left(-i \, \arcsin\left(c x\right)\right)}}{8 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} b \arcsin\left(c x\right) e^{\left(-3 i \, \arcsin\left(c x\right)\right)}}{24 \, c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a e^{\left(3 i \, \arcsin\left(c x\right)\right)}}{24 \, c^{3}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} b e^{\left(3 i \, \arcsin\left(c x\right)\right)}}{48 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a e^{\left(i \, \arcsin\left(c x\right)\right)}}{8 \, c^{3}} + \frac{3 \, \sqrt{b \arcsin\left(c x\right) + a} b e^{\left(i \, \arcsin\left(c x\right)\right)}}{16 \, c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a e^{\left(-i \, \arcsin\left(c x\right)\right)}}{8 \, c^{3}} + \frac{3 \, \sqrt{b \arcsin\left(c x\right) + a} b e^{\left(-i \, \arcsin\left(c x\right)\right)}}{16 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a e^{\left(-3 i \, \arcsin\left(c x\right)\right)}}{24 \, c^{3}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} b e^{\left(-3 i \, \arcsin\left(c x\right)\right)}}{48 \, c^{3}}"," ",0,"1/8*sqrt(2)*sqrt(pi)*a^2*b^2*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) + 1/8*I*sqrt(2)*sqrt(pi)*a*b^3*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) + 1/8*sqrt(2)*sqrt(pi)*a^2*b^2*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) - 1/8*I*sqrt(2)*sqrt(pi)*a*b^3*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) - 1/4*sqrt(pi)*a^2*b^(3/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*b^2 + I*sqrt(6)*b^3/abs(b))*c^3) - 1/12*I*sqrt(pi)*a*b^(5/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*b^2 + I*sqrt(6)*b^3/abs(b))*c^3) - 1/8*I*sqrt(2)*sqrt(pi)*a*b^2*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) + 3/32*sqrt(2)*sqrt(pi)*b^3*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) + 1/8*I*sqrt(2)*sqrt(pi)*a*b^2*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) + 3/32*sqrt(2)*sqrt(pi)*b^3*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) - 1/4*sqrt(pi)*a^2*b^(3/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*b^2 - I*sqrt(6)*b^3/abs(b))*c^3) + 1/12*I*sqrt(pi)*a*b^(5/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*b^2 - I*sqrt(6)*b^3/abs(b))*c^3) + 1/4*sqrt(pi)*a^2*b*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*b^(3/2) + I*sqrt(6)*b^(5/2)/abs(b))*c^3) + 1/12*I*sqrt(pi)*a*b^2*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*b^(3/2) + I*sqrt(6)*b^(5/2)/abs(b))*c^3) - 1/4*sqrt(pi)*a^2*b*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c^3) - 1/4*sqrt(pi)*a^2*b*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c^3) + 1/4*sqrt(pi)*a^2*b*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*b^(3/2) - I*sqrt(6)*b^(5/2)/abs(b))*c^3) - 1/12*I*sqrt(pi)*a*b^2*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*b^(3/2) - I*sqrt(6)*b^(5/2)/abs(b))*c^3) - 1/48*sqrt(pi)*b^(5/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*b + I*sqrt(6)*b^2/abs(b))*c^3) - 1/48*sqrt(pi)*b^(5/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*b - I*sqrt(6)*b^2/abs(b))*c^3) + 1/24*I*sqrt(b*arcsin(c*x) + a)*b*arcsin(c*x)*e^(3*I*arcsin(c*x))/c^3 - 1/8*I*sqrt(b*arcsin(c*x) + a)*b*arcsin(c*x)*e^(I*arcsin(c*x))/c^3 + 1/8*I*sqrt(b*arcsin(c*x) + a)*b*arcsin(c*x)*e^(-I*arcsin(c*x))/c^3 - 1/24*I*sqrt(b*arcsin(c*x) + a)*b*arcsin(c*x)*e^(-3*I*arcsin(c*x))/c^3 + 1/24*I*sqrt(b*arcsin(c*x) + a)*a*e^(3*I*arcsin(c*x))/c^3 - 1/48*sqrt(b*arcsin(c*x) + a)*b*e^(3*I*arcsin(c*x))/c^3 - 1/8*I*sqrt(b*arcsin(c*x) + a)*a*e^(I*arcsin(c*x))/c^3 + 3/16*sqrt(b*arcsin(c*x) + a)*b*e^(I*arcsin(c*x))/c^3 + 1/8*I*sqrt(b*arcsin(c*x) + a)*a*e^(-I*arcsin(c*x))/c^3 + 3/16*sqrt(b*arcsin(c*x) + a)*b*e^(-I*arcsin(c*x))/c^3 - 1/24*I*sqrt(b*arcsin(c*x) + a)*a*e^(-3*I*arcsin(c*x))/c^3 - 1/48*sqrt(b*arcsin(c*x) + a)*b*e^(-3*I*arcsin(c*x))/c^3","C",0
179,1,845,0,2.089822," ","integrate(x*(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\frac{i \, \sqrt{\pi} a^{2} b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{4 \, {\left(b^{2} + \frac{i \, b^{3}}{{\left| b \right|}}\right)} c^{2}} - \frac{\sqrt{\pi} a b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{8 \, {\left(b^{2} + \frac{i \, b^{3}}{{\left| b \right|}}\right)} c^{2}} - \frac{i \, \sqrt{\pi} a^{2} b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{4 \, {\left(b^{2} - \frac{i \, b^{3}}{{\left| b \right|}}\right)} c^{2}} - \frac{\sqrt{\pi} a b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{8 \, {\left(b^{2} - \frac{i \, b^{3}}{{\left| b \right|}}\right)} c^{2}} + \frac{\sqrt{\pi} a b^{2} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{8 \, {\left(b^{\frac{3}{2}} + \frac{i \, b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{2}} + \frac{i \, \sqrt{\pi} a^{2} b \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{4 \, {\left(b^{\frac{3}{2}} - \frac{i \, b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{2}} + \frac{\sqrt{\pi} a b^{2} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{8 \, {\left(b^{\frac{3}{2}} - \frac{i \, b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{2}} - \frac{i \, \sqrt{\pi} a^{2} \sqrt{b} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{4 \, {\left(b + \frac{i \, b^{2}}{{\left| b \right|}}\right)} c^{2}} + \frac{3 i \, \sqrt{\pi} b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{64 \, {\left(b + \frac{i \, b^{2}}{{\left| b \right|}}\right)} c^{2}} - \frac{3 i \, \sqrt{\pi} b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{64 \, {\left(b - \frac{i \, b^{2}}{{\left| b \right|}}\right)} c^{2}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} b \arcsin\left(c x\right) e^{\left(2 i \, \arcsin\left(c x\right)\right)}}{8 \, c^{2}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} b \arcsin\left(c x\right) e^{\left(-2 i \, \arcsin\left(c x\right)\right)}}{8 \, c^{2}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} a e^{\left(2 i \, \arcsin\left(c x\right)\right)}}{8 \, c^{2}} - \frac{3 i \, \sqrt{b \arcsin\left(c x\right) + a} b e^{\left(2 i \, \arcsin\left(c x\right)\right)}}{32 \, c^{2}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} a e^{\left(-2 i \, \arcsin\left(c x\right)\right)}}{8 \, c^{2}} + \frac{3 i \, \sqrt{b \arcsin\left(c x\right) + a} b e^{\left(-2 i \, \arcsin\left(c x\right)\right)}}{32 \, c^{2}}"," ",0,"1/4*I*sqrt(pi)*a^2*b^(3/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/((b^2 + I*b^3/abs(b))*c^2) - 1/8*sqrt(pi)*a*b^(5/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/((b^2 + I*b^3/abs(b))*c^2) - 1/4*I*sqrt(pi)*a^2*b^(3/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/((b^2 - I*b^3/abs(b))*c^2) - 1/8*sqrt(pi)*a*b^(5/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/((b^2 - I*b^3/abs(b))*c^2) + 1/8*sqrt(pi)*a*b^2*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/((b^(3/2) + I*b^(5/2)/abs(b))*c^2) + 1/4*I*sqrt(pi)*a^2*b*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/((b^(3/2) - I*b^(5/2)/abs(b))*c^2) + 1/8*sqrt(pi)*a*b^2*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/((b^(3/2) - I*b^(5/2)/abs(b))*c^2) - 1/4*I*sqrt(pi)*a^2*sqrt(b)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/((b + I*b^2/abs(b))*c^2) + 3/64*I*sqrt(pi)*b^(5/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/((b + I*b^2/abs(b))*c^2) - 3/64*I*sqrt(pi)*b^(5/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/((b - I*b^2/abs(b))*c^2) - 1/8*sqrt(b*arcsin(c*x) + a)*b*arcsin(c*x)*e^(2*I*arcsin(c*x))/c^2 - 1/8*sqrt(b*arcsin(c*x) + a)*b*arcsin(c*x)*e^(-2*I*arcsin(c*x))/c^2 - 1/8*sqrt(b*arcsin(c*x) + a)*a*e^(2*I*arcsin(c*x))/c^2 - 3/32*I*sqrt(b*arcsin(c*x) + a)*b*e^(2*I*arcsin(c*x))/c^2 - 1/8*sqrt(b*arcsin(c*x) + a)*a*e^(-2*I*arcsin(c*x))/c^2 + 3/32*I*sqrt(b*arcsin(c*x) + a)*b*e^(-2*I*arcsin(c*x))/c^2","C",0
180,1,993,0,2.791606," ","integrate((a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{2 \, {\left(\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c} + \frac{i \, \sqrt{2} \sqrt{\pi} a b^{3} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{2 \, {\left(\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{2} \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{2 \, {\left(-\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c} - \frac{i \, \sqrt{2} \sqrt{\pi} a b^{3} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{2 \, {\left(-\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c} - \frac{i \, \sqrt{2} \sqrt{\pi} a b^{2} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{2 \, {\left(\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} + \frac{3 \, \sqrt{2} \sqrt{\pi} b^{3} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{8 \, {\left(\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} + \frac{i \, \sqrt{2} \sqrt{\pi} a b^{2} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{2 \, {\left(-\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} + \frac{3 \, \sqrt{2} \sqrt{\pi} b^{3} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{8 \, {\left(-\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} - \frac{\sqrt{\pi} a^{2} b \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{{\left(\frac{i \, \sqrt{2} b^{2}}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c} - \frac{\sqrt{\pi} a^{2} b \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{{\left(-\frac{i \, \sqrt{2} b^{2}}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} b \arcsin\left(c x\right) e^{\left(i \, \arcsin\left(c x\right)\right)}}{2 \, c} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} b \arcsin\left(c x\right) e^{\left(-i \, \arcsin\left(c x\right)\right)}}{2 \, c} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a e^{\left(i \, \arcsin\left(c x\right)\right)}}{2 \, c} + \frac{3 \, \sqrt{b \arcsin\left(c x\right) + a} b e^{\left(i \, \arcsin\left(c x\right)\right)}}{4 \, c} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a e^{\left(-i \, \arcsin\left(c x\right)\right)}}{2 \, c} + \frac{3 \, \sqrt{b \arcsin\left(c x\right) + a} b e^{\left(-i \, \arcsin\left(c x\right)\right)}}{4 \, c}"," ",0,"1/2*sqrt(2)*sqrt(pi)*a^2*b^2*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c) + 1/2*I*sqrt(2)*sqrt(pi)*a*b^3*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c) + 1/2*sqrt(2)*sqrt(pi)*a^2*b^2*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c) - 1/2*I*sqrt(2)*sqrt(pi)*a*b^3*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c) - 1/2*I*sqrt(2)*sqrt(pi)*a*b^2*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c) + 3/8*sqrt(2)*sqrt(pi)*b^3*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c) + 1/2*I*sqrt(2)*sqrt(pi)*a*b^2*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c) + 3/8*sqrt(2)*sqrt(pi)*b^3*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c) - sqrt(pi)*a^2*b*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c) - sqrt(pi)*a^2*b*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c) - 1/2*I*sqrt(b*arcsin(c*x) + a)*b*arcsin(c*x)*e^(I*arcsin(c*x))/c + 1/2*I*sqrt(b*arcsin(c*x) + a)*b*arcsin(c*x)*e^(-I*arcsin(c*x))/c - 1/2*I*sqrt(b*arcsin(c*x) + a)*a*e^(I*arcsin(c*x))/c + 3/4*sqrt(b*arcsin(c*x) + a)*b*e^(I*arcsin(c*x))/c + 1/2*I*sqrt(b*arcsin(c*x) + a)*a*e^(-I*arcsin(c*x))/c + 3/4*sqrt(b*arcsin(c*x) + a)*b*e^(-I*arcsin(c*x))/c","C",0
181,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(3/2)/x,x, algorithm=""giac"")","\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=""giac"")","\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
183,1,2667,0,6.680380," ","integrate(x^2*(a+b*arcsin(c*x))^(5/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} a^{3} b^{3} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{8 \, {\left(\frac{i \, b^{4}}{\sqrt{{\left| b \right|}}} + b^{3} \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{2} \sqrt{\pi} a^{3} b^{3} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{8 \, {\left(-\frac{i \, b^{4}}{\sqrt{{\left| b \right|}}} + b^{3} \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{3 i \, \sqrt{2} \sqrt{\pi} a^{2} b^{3} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{8 \, {\left(\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{3 i \, \sqrt{2} \sqrt{\pi} a^{2} b^{3} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{8 \, {\left(-\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a^{3} b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} b^{2} + \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} - \frac{i \, \sqrt{\pi} a^{2} b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} b^{2} + \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} - \frac{3 i \, \sqrt{2} \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{8 \, {\left(\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{15 i \, \sqrt{2} \sqrt{\pi} b^{4} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{64 \, {\left(\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{3 i \, \sqrt{2} \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{8 \, {\left(-\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{15 i \, \sqrt{2} \sqrt{\pi} b^{4} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{64 \, {\left(-\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a^{3} b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} b^{2} - \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \sqrt{\pi} a^{2} b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} b^{2} - \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right)^{2} e^{\left(3 i \, \arcsin\left(c x\right)\right)}}{24 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right)^{2} e^{\left(i \, \arcsin\left(c x\right)\right)}}{8 \, c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right)^{2} e^{\left(-i \, \arcsin\left(c x\right)\right)}}{8 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right)^{2} e^{\left(-3 i \, \arcsin\left(c x\right)\right)}}{24 \, c^{3}} + \frac{\sqrt{\pi} a^{3} b \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} b^{\frac{3}{2}} + \frac{i \, \sqrt{6} b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} b^{\frac{3}{2}} + \frac{i \, \sqrt{6} b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} a b^{3} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{16 \, {\left(\sqrt{6} b^{\frac{3}{2}} + \frac{i \, \sqrt{6} b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a^{3} b \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{4 \, {\left(\frac{i \, \sqrt{2} b^{2}}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a^{3} b \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{4 \, {\left(-\frac{i \, \sqrt{2} b^{2}}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} a^{3} b \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} b^{\frac{3}{2}} - \frac{i \, \sqrt{6} b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{3}} - \frac{i \, \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} b^{\frac{3}{2}} - \frac{i \, \sqrt{6} b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} a b^{3} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{16 \, {\left(\sqrt{6} b^{\frac{3}{2}} - \frac{i \, \sqrt{6} b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{16 \, {\left(\sqrt{6} b + \frac{i \, \sqrt{6} b^{2}}{{\left| b \right|}}\right)} c^{3}} + \frac{5 i \, \sqrt{\pi} b^{\frac{7}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{288 \, {\left(\sqrt{6} b + \frac{i \, \sqrt{6} b^{2}}{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{16 \, {\left(\sqrt{6} b - \frac{i \, \sqrt{6} b^{2}}{{\left| b \right|}}\right)} c^{3}} - \frac{5 i \, \sqrt{\pi} b^{\frac{7}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{288 \, {\left(\sqrt{6} b - \frac{i \, \sqrt{6} b^{2}}{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a b \arcsin\left(c x\right) e^{\left(3 i \, \arcsin\left(c x\right)\right)}}{12 \, c^{3}} - \frac{5 \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right) e^{\left(3 i \, \arcsin\left(c x\right)\right)}}{144 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a b \arcsin\left(c x\right) e^{\left(i \, \arcsin\left(c x\right)\right)}}{4 \, c^{3}} + \frac{5 \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right) e^{\left(i \, \arcsin\left(c x\right)\right)}}{16 \, c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a b \arcsin\left(c x\right) e^{\left(-i \, \arcsin\left(c x\right)\right)}}{4 \, c^{3}} + \frac{5 \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right) e^{\left(-i \, \arcsin\left(c x\right)\right)}}{16 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a b \arcsin\left(c x\right) e^{\left(-3 i \, \arcsin\left(c x\right)\right)}}{12 \, c^{3}} - \frac{5 \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right) e^{\left(-3 i \, \arcsin\left(c x\right)\right)}}{144 \, c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a^{2} e^{\left(3 i \, \arcsin\left(c x\right)\right)}}{24 \, c^{3}} - \frac{5 \, \sqrt{b \arcsin\left(c x\right) + a} a b e^{\left(3 i \, \arcsin\left(c x\right)\right)}}{144 \, c^{3}} - \frac{5 i \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} e^{\left(3 i \, \arcsin\left(c x\right)\right)}}{288 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a^{2} e^{\left(i \, \arcsin\left(c x\right)\right)}}{8 \, c^{3}} + \frac{5 \, \sqrt{b \arcsin\left(c x\right) + a} a b e^{\left(i \, \arcsin\left(c x\right)\right)}}{16 \, c^{3}} + \frac{15 i \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} e^{\left(i \, \arcsin\left(c x\right)\right)}}{32 \, c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a^{2} e^{\left(-i \, \arcsin\left(c x\right)\right)}}{8 \, c^{3}} + \frac{5 \, \sqrt{b \arcsin\left(c x\right) + a} a b e^{\left(-i \, \arcsin\left(c x\right)\right)}}{16 \, c^{3}} - \frac{15 i \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} e^{\left(-i \, \arcsin\left(c x\right)\right)}}{32 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a^{2} e^{\left(-3 i \, \arcsin\left(c x\right)\right)}}{24 \, c^{3}} - \frac{5 \, \sqrt{b \arcsin\left(c x\right) + a} a b e^{\left(-3 i \, \arcsin\left(c x\right)\right)}}{144 \, c^{3}} + \frac{5 i \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} e^{\left(-3 i \, \arcsin\left(c x\right)\right)}}{288 \, c^{3}}"," ",0,"1/8*sqrt(2)*sqrt(pi)*a^3*b^3*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^4/sqrt(abs(b)) + b^3*sqrt(abs(b)))*c^3) + 1/8*sqrt(2)*sqrt(pi)*a^3*b^3*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^4/sqrt(abs(b)) + b^3*sqrt(abs(b)))*c^3) + 3/8*I*sqrt(2)*sqrt(pi)*a^2*b^3*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) - 3/8*I*sqrt(2)*sqrt(pi)*a^2*b^3*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) - 1/4*sqrt(pi)*a^3*b^(3/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*b^2 + I*sqrt(6)*b^3/abs(b))*c^3) - 1/4*I*sqrt(pi)*a^2*b^(5/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*b^2 + I*sqrt(6)*b^3/abs(b))*c^3) - 3/8*I*sqrt(2)*sqrt(pi)*a^2*b^2*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) - 15/64*I*sqrt(2)*sqrt(pi)*b^4*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) + 3/8*I*sqrt(2)*sqrt(pi)*a^2*b^2*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) + 15/64*I*sqrt(2)*sqrt(pi)*b^4*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) - 1/4*sqrt(pi)*a^3*b^(3/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*b^2 - I*sqrt(6)*b^3/abs(b))*c^3) + 1/4*I*sqrt(pi)*a^2*b^(5/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*b^2 - I*sqrt(6)*b^3/abs(b))*c^3) + 1/24*I*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)^2*e^(3*I*arcsin(c*x))/c^3 - 1/8*I*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)^2*e^(I*arcsin(c*x))/c^3 + 1/8*I*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)^2*e^(-I*arcsin(c*x))/c^3 - 1/24*I*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)^2*e^(-3*I*arcsin(c*x))/c^3 + 1/4*sqrt(pi)*a^3*b*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*b^(3/2) + I*sqrt(6)*b^(5/2)/abs(b))*c^3) + 1/4*I*sqrt(pi)*a^2*b^2*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*b^(3/2) + I*sqrt(6)*b^(5/2)/abs(b))*c^3) + 1/16*sqrt(pi)*a*b^3*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*b^(3/2) + I*sqrt(6)*b^(5/2)/abs(b))*c^3) - 1/4*sqrt(pi)*a^3*b*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c^3) - 1/4*sqrt(pi)*a^3*b*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c^3) + 1/4*sqrt(pi)*a^3*b*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*b^(3/2) - I*sqrt(6)*b^(5/2)/abs(b))*c^3) - 1/4*I*sqrt(pi)*a^2*b^2*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*b^(3/2) - I*sqrt(6)*b^(5/2)/abs(b))*c^3) + 1/16*sqrt(pi)*a*b^3*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*b^(3/2) - I*sqrt(6)*b^(5/2)/abs(b))*c^3) - 1/16*sqrt(pi)*a*b^(5/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*b + I*sqrt(6)*b^2/abs(b))*c^3) + 5/288*I*sqrt(pi)*b^(7/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*b + I*sqrt(6)*b^2/abs(b))*c^3) - 1/16*sqrt(pi)*a*b^(5/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*b - I*sqrt(6)*b^2/abs(b))*c^3) - 5/288*I*sqrt(pi)*b^(7/2)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*b - I*sqrt(6)*b^2/abs(b))*c^3) + 1/12*I*sqrt(b*arcsin(c*x) + a)*a*b*arcsin(c*x)*e^(3*I*arcsin(c*x))/c^3 - 5/144*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)*e^(3*I*arcsin(c*x))/c^3 - 1/4*I*sqrt(b*arcsin(c*x) + a)*a*b*arcsin(c*x)*e^(I*arcsin(c*x))/c^3 + 5/16*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)*e^(I*arcsin(c*x))/c^3 + 1/4*I*sqrt(b*arcsin(c*x) + a)*a*b*arcsin(c*x)*e^(-I*arcsin(c*x))/c^3 + 5/16*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)*e^(-I*arcsin(c*x))/c^3 - 1/12*I*sqrt(b*arcsin(c*x) + a)*a*b*arcsin(c*x)*e^(-3*I*arcsin(c*x))/c^3 - 5/144*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)*e^(-3*I*arcsin(c*x))/c^3 + 1/24*I*sqrt(b*arcsin(c*x) + a)*a^2*e^(3*I*arcsin(c*x))/c^3 - 5/144*sqrt(b*arcsin(c*x) + a)*a*b*e^(3*I*arcsin(c*x))/c^3 - 5/288*I*sqrt(b*arcsin(c*x) + a)*b^2*e^(3*I*arcsin(c*x))/c^3 - 1/8*I*sqrt(b*arcsin(c*x) + a)*a^2*e^(I*arcsin(c*x))/c^3 + 5/16*sqrt(b*arcsin(c*x) + a)*a*b*e^(I*arcsin(c*x))/c^3 + 15/32*I*sqrt(b*arcsin(c*x) + a)*b^2*e^(I*arcsin(c*x))/c^3 + 1/8*I*sqrt(b*arcsin(c*x) + a)*a^2*e^(-I*arcsin(c*x))/c^3 + 5/16*sqrt(b*arcsin(c*x) + a)*a*b*e^(-I*arcsin(c*x))/c^3 - 15/32*I*sqrt(b*arcsin(c*x) + a)*b^2*e^(-I*arcsin(c*x))/c^3 - 1/24*I*sqrt(b*arcsin(c*x) + a)*a^2*e^(-3*I*arcsin(c*x))/c^3 - 5/144*sqrt(b*arcsin(c*x) + a)*a*b*e^(-3*I*arcsin(c*x))/c^3 + 5/288*I*sqrt(b*arcsin(c*x) + a)*b^2*e^(-3*I*arcsin(c*x))/c^3","C",0
184,1,1307,0,2.728859," ","integrate(x*(a+b*arcsin(c*x))^(5/2),x, algorithm=""giac"")","\frac{i \, \sqrt{\pi} a^{3} b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{4 \, {\left(b^{2} + \frac{i \, b^{3}}{{\left| b \right|}}\right)} c^{2}} - \frac{3 \, \sqrt{\pi} a^{2} b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{8 \, {\left(b^{2} + \frac{i \, b^{3}}{{\left| b \right|}}\right)} c^{2}} - \frac{i \, \sqrt{\pi} a^{3} b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{4 \, {\left(b^{2} - \frac{i \, b^{3}}{{\left| b \right|}}\right)} c^{2}} - \frac{3 \, \sqrt{\pi} a^{2} b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{8 \, {\left(b^{2} - \frac{i \, b^{3}}{{\left| b \right|}}\right)} c^{2}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right)^{2} e^{\left(2 i \, \arcsin\left(c x\right)\right)}}{8 \, c^{2}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right)^{2} e^{\left(-2 i \, \arcsin\left(c x\right)\right)}}{8 \, c^{2}} + \frac{3 \, \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{8 \, {\left(b^{\frac{3}{2}} + \frac{i \, b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{2}} - \frac{9 i \, \sqrt{\pi} a b^{3} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{64 \, {\left(b^{\frac{3}{2}} + \frac{i \, b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{2}} + \frac{i \, \sqrt{\pi} a^{3} b \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{4 \, {\left(b^{\frac{3}{2}} - \frac{i \, b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{2}} + \frac{3 \, \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{8 \, {\left(b^{\frac{3}{2}} - \frac{i \, b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{2}} + \frac{9 i \, \sqrt{\pi} a b^{3} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{64 \, {\left(b^{\frac{3}{2}} - \frac{i \, b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{2}} - \frac{i \, \sqrt{\pi} a^{3} \sqrt{b} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{4 \, {\left(b + \frac{i \, b^{2}}{{\left| b \right|}}\right)} c^{2}} + \frac{9 i \, \sqrt{\pi} a b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{64 \, {\left(b + \frac{i \, b^{2}}{{\left| b \right|}}\right)} c^{2}} + \frac{15 \, \sqrt{\pi} b^{\frac{7}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{256 \, {\left(b + \frac{i \, b^{2}}{{\left| b \right|}}\right)} c^{2}} - \frac{9 i \, \sqrt{\pi} a b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{64 \, {\left(b - \frac{i \, b^{2}}{{\left| b \right|}}\right)} c^{2}} + \frac{15 \, \sqrt{\pi} b^{\frac{7}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{256 \, {\left(b - \frac{i \, b^{2}}{{\left| b \right|}}\right)} c^{2}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} a b \arcsin\left(c x\right) e^{\left(2 i \, \arcsin\left(c x\right)\right)}}{4 \, c^{2}} - \frac{5 i \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right) e^{\left(2 i \, \arcsin\left(c x\right)\right)}}{32 \, c^{2}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} a b \arcsin\left(c x\right) e^{\left(-2 i \, \arcsin\left(c x\right)\right)}}{4 \, c^{2}} + \frac{5 i \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right) e^{\left(-2 i \, \arcsin\left(c x\right)\right)}}{32 \, c^{2}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} a^{2} e^{\left(2 i \, \arcsin\left(c x\right)\right)}}{8 \, c^{2}} - \frac{5 i \, \sqrt{b \arcsin\left(c x\right) + a} a b e^{\left(2 i \, \arcsin\left(c x\right)\right)}}{32 \, c^{2}} + \frac{15 \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} e^{\left(2 i \, \arcsin\left(c x\right)\right)}}{128 \, c^{2}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} a^{2} e^{\left(-2 i \, \arcsin\left(c x\right)\right)}}{8 \, c^{2}} + \frac{5 i \, \sqrt{b \arcsin\left(c x\right) + a} a b e^{\left(-2 i \, \arcsin\left(c x\right)\right)}}{32 \, c^{2}} + \frac{15 \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} e^{\left(-2 i \, \arcsin\left(c x\right)\right)}}{128 \, c^{2}}"," ",0,"1/4*I*sqrt(pi)*a^3*b^(3/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/((b^2 + I*b^3/abs(b))*c^2) - 3/8*sqrt(pi)*a^2*b^(5/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/((b^2 + I*b^3/abs(b))*c^2) - 1/4*I*sqrt(pi)*a^3*b^(3/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/((b^2 - I*b^3/abs(b))*c^2) - 3/8*sqrt(pi)*a^2*b^(5/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/((b^2 - I*b^3/abs(b))*c^2) - 1/8*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)^2*e^(2*I*arcsin(c*x))/c^2 - 1/8*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)^2*e^(-2*I*arcsin(c*x))/c^2 + 3/8*sqrt(pi)*a^2*b^2*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/((b^(3/2) + I*b^(5/2)/abs(b))*c^2) - 9/64*I*sqrt(pi)*a*b^3*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/((b^(3/2) + I*b^(5/2)/abs(b))*c^2) + 1/4*I*sqrt(pi)*a^3*b*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/((b^(3/2) - I*b^(5/2)/abs(b))*c^2) + 3/8*sqrt(pi)*a^2*b^2*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/((b^(3/2) - I*b^(5/2)/abs(b))*c^2) + 9/64*I*sqrt(pi)*a*b^3*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/((b^(3/2) - I*b^(5/2)/abs(b))*c^2) - 1/4*I*sqrt(pi)*a^3*sqrt(b)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/((b + I*b^2/abs(b))*c^2) + 9/64*I*sqrt(pi)*a*b^(5/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/((b + I*b^2/abs(b))*c^2) + 15/256*sqrt(pi)*b^(7/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/((b + I*b^2/abs(b))*c^2) - 9/64*I*sqrt(pi)*a*b^(5/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/((b - I*b^2/abs(b))*c^2) + 15/256*sqrt(pi)*b^(7/2)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/((b - I*b^2/abs(b))*c^2) - 1/4*sqrt(b*arcsin(c*x) + a)*a*b*arcsin(c*x)*e^(2*I*arcsin(c*x))/c^2 - 5/32*I*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)*e^(2*I*arcsin(c*x))/c^2 - 1/4*sqrt(b*arcsin(c*x) + a)*a*b*arcsin(c*x)*e^(-2*I*arcsin(c*x))/c^2 + 5/32*I*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)*e^(-2*I*arcsin(c*x))/c^2 - 1/8*sqrt(b*arcsin(c*x) + a)*a^2*e^(2*I*arcsin(c*x))/c^2 - 5/32*I*sqrt(b*arcsin(c*x) + a)*a*b*e^(2*I*arcsin(c*x))/c^2 + 15/128*sqrt(b*arcsin(c*x) + a)*b^2*e^(2*I*arcsin(c*x))/c^2 - 1/8*sqrt(b*arcsin(c*x) + a)*a^2*e^(-2*I*arcsin(c*x))/c^2 + 5/32*I*sqrt(b*arcsin(c*x) + a)*a*b*e^(-2*I*arcsin(c*x))/c^2 + 15/128*sqrt(b*arcsin(c*x) + a)*b^2*e^(-2*I*arcsin(c*x))/c^2","C",0
185,1,1179,0,4.074502," ","integrate((a+b*arcsin(c*x))^(5/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} a^{3} b^{3} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{2 \, {\left(\frac{i \, b^{4}}{\sqrt{{\left| b \right|}}} + b^{3} \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{2} \sqrt{\pi} a^{3} b^{3} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{2 \, {\left(-\frac{i \, b^{4}}{\sqrt{{\left| b \right|}}} + b^{3} \sqrt{{\left| b \right|}}\right)} c} + \frac{3 i \, \sqrt{2} \sqrt{\pi} a^{2} b^{3} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{2 \, {\left(\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c} - \frac{3 i \, \sqrt{2} \sqrt{\pi} a^{2} b^{3} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{2 \, {\left(-\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c} - \frac{3 i \, \sqrt{2} \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{2 \, {\left(\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} - \frac{15 i \, \sqrt{2} \sqrt{\pi} b^{4} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{16 \, {\left(\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} + \frac{3 i \, \sqrt{2} \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{2 \, {\left(-\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} + \frac{15 i \, \sqrt{2} \sqrt{\pi} b^{4} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{16 \, {\left(-\frac{i \, b^{2}}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right)^{2} e^{\left(i \, \arcsin\left(c x\right)\right)}}{2 \, c} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right)^{2} e^{\left(-i \, \arcsin\left(c x\right)\right)}}{2 \, c} - \frac{\sqrt{\pi} a^{3} b \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{{\left(\frac{i \, \sqrt{2} b^{2}}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c} - \frac{\sqrt{\pi} a^{3} b \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{{\left(-\frac{i \, \sqrt{2} b^{2}}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a b \arcsin\left(c x\right) e^{\left(i \, \arcsin\left(c x\right)\right)}}{c} + \frac{5 \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right) e^{\left(i \, \arcsin\left(c x\right)\right)}}{4 \, c} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a b \arcsin\left(c x\right) e^{\left(-i \, \arcsin\left(c x\right)\right)}}{c} + \frac{5 \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} \arcsin\left(c x\right) e^{\left(-i \, \arcsin\left(c x\right)\right)}}{4 \, c} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a^{2} e^{\left(i \, \arcsin\left(c x\right)\right)}}{2 \, c} + \frac{5 \, \sqrt{b \arcsin\left(c x\right) + a} a b e^{\left(i \, \arcsin\left(c x\right)\right)}}{4 \, c} + \frac{15 i \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} e^{\left(i \, \arcsin\left(c x\right)\right)}}{8 \, c} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a^{2} e^{\left(-i \, \arcsin\left(c x\right)\right)}}{2 \, c} + \frac{5 \, \sqrt{b \arcsin\left(c x\right) + a} a b e^{\left(-i \, \arcsin\left(c x\right)\right)}}{4 \, c} - \frac{15 i \, \sqrt{b \arcsin\left(c x\right) + a} b^{2} e^{\left(-i \, \arcsin\left(c x\right)\right)}}{8 \, c}"," ",0,"1/2*sqrt(2)*sqrt(pi)*a^3*b^3*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^4/sqrt(abs(b)) + b^3*sqrt(abs(b)))*c) + 1/2*sqrt(2)*sqrt(pi)*a^3*b^3*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^4/sqrt(abs(b)) + b^3*sqrt(abs(b)))*c) + 3/2*I*sqrt(2)*sqrt(pi)*a^2*b^3*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c) - 3/2*I*sqrt(2)*sqrt(pi)*a^2*b^3*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c) - 3/2*I*sqrt(2)*sqrt(pi)*a^2*b^2*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c) - 15/16*I*sqrt(2)*sqrt(pi)*b^4*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c) + 3/2*I*sqrt(2)*sqrt(pi)*a^2*b^2*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c) + 15/16*I*sqrt(2)*sqrt(pi)*b^4*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*b^2/sqrt(abs(b)) + b*sqrt(abs(b)))*c) - 1/2*I*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)^2*e^(I*arcsin(c*x))/c + 1/2*I*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)^2*e^(-I*arcsin(c*x))/c - sqrt(pi)*a^3*b*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/((I*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c) - sqrt(pi)*a^3*b*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/((-I*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c) - I*sqrt(b*arcsin(c*x) + a)*a*b*arcsin(c*x)*e^(I*arcsin(c*x))/c + 5/4*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)*e^(I*arcsin(c*x))/c + I*sqrt(b*arcsin(c*x) + a)*a*b*arcsin(c*x)*e^(-I*arcsin(c*x))/c + 5/4*sqrt(b*arcsin(c*x) + a)*b^2*arcsin(c*x)*e^(-I*arcsin(c*x))/c - 1/2*I*sqrt(b*arcsin(c*x) + a)*a^2*e^(I*arcsin(c*x))/c + 5/4*sqrt(b*arcsin(c*x) + a)*a*b*e^(I*arcsin(c*x))/c + 15/8*I*sqrt(b*arcsin(c*x) + a)*b^2*e^(I*arcsin(c*x))/c + 1/2*I*sqrt(b*arcsin(c*x) + a)*a^2*e^(-I*arcsin(c*x))/c + 5/4*sqrt(b*arcsin(c*x) + a)*a*b*e^(-I*arcsin(c*x))/c - 15/8*I*sqrt(b*arcsin(c*x) + a)*b^2*e^(-I*arcsin(c*x))/c","C",0
186,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(5/2)/x,x, algorithm=""giac"")","\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=""giac"")","\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
188,1,317,0,1.861692," ","integrate(x^2/(a+b*arcsin(c*x))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} \sqrt{b} + \frac{i \, \sqrt{6} b^{\frac{3}{2}}}{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{4 \, c^{3} {\left(\frac{i \, \sqrt{2} b}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{4 \, c^{3} {\left(-\frac{i \, \sqrt{2} b}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{6} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{3 i \, a}{b}\right)}}{4 \, {\left(\sqrt{6} \sqrt{b} - \frac{i \, \sqrt{6} b^{\frac{3}{2}}}{{\left| b \right|}}\right)} c^{3}}"," ",0,"1/4*sqrt(pi)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(3*I*a/b)/((sqrt(6)*sqrt(b) + I*sqrt(6)*b^(3/2)/abs(b))*c^3) - 1/4*sqrt(pi)*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/(c^3*(I*sqrt(2)*b/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))) - 1/4*sqrt(pi)*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/(c^3*(-I*sqrt(2)*b/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))) + 1/4*sqrt(pi)*erf(-1/2*sqrt(6)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(6)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-3*I*a/b)/((sqrt(6)*sqrt(b) - I*sqrt(6)*b^(3/2)/abs(b))*c^3)","C",0
189,1,132,0,2.056583," ","integrate(x/(a+b*arcsin(c*x))^(1/2),x, algorithm=""giac"")","\frac{i \, \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(-\frac{2 i \, a}{b}\right)}}{4 \, c^{2} {\left(\sqrt{b} - \frac{i \, b^{\frac{3}{2}}}{{\left| b \right|}}\right)}} - \frac{i \, \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{b \arcsin\left(c x\right) + a}}{\sqrt{b}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{{\left| b \right|}}\right) e^{\left(\frac{2 i \, a}{b}\right)}}{4 \, \sqrt{b} c^{2} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}}"," ",0,"1/4*I*sqrt(pi)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) + I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-2*I*a/b)/(c^2*(sqrt(b) - I*b^(3/2)/abs(b))) - 1/4*I*sqrt(pi)*erf(-sqrt(b*arcsin(c*x) + a)/sqrt(b) - I*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(2*I*a/b)/(sqrt(b)*c^2*(I*b/abs(b) + 1))","C",0
190,1,159,0,1.456086," ","integrate(1/(a+b*arcsin(c*x))^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{i \, a}{b}\right)}}{c {\left(\frac{i \, \sqrt{2} b}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(\frac{i \, \sqrt{2} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{i \, a}{b}\right)}}{c {\left(-\frac{i \, \sqrt{2} b}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)}}"," ",0,"-sqrt(pi)*erf(-1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(I*a/b)/(c*(I*sqrt(2)*b/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))) - sqrt(pi)*erf(1/2*I*sqrt(2)*sqrt(b*arcsin(c*x) + a)/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arcsin(c*x) + a)*sqrt(abs(b))/b)*e^(-I*a/b)/(c*(-I*sqrt(2)*b/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b))))","C",0
191,0,0,0,0.000000," ","integrate(1/x/(a+b*arcsin(c*x))^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-2,0,0,0.000000," ","integrate(1/x/(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
197,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-2,0,0,0.000000," ","integrate(1/x/(a+b*arcsin(c*x))^(5/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
202,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arcsin(c*x))^(5/2),x, algorithm=""giac"")","\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=""giac"")","\int \left(d x\right)^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate((d*x)^(5/2)*(b*arcsin(c*x) + a), x)","F",0
204,0,0,0,0.000000," ","integrate((d*x)^(3/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \left(d x\right)^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate((d*x)^(3/2)*(b*arcsin(c*x) + a), x)","F",0
205,0,0,0,0.000000," ","integrate((d*x)^(1/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \sqrt{d x} {\left(b \arcsin\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(d*x)*(b*arcsin(c*x) + a), x)","F",0
206,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(d*x)^(1/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{\sqrt{d x}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/sqrt(d*x), x)","F",0
207,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(d*x)^(3/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{\left(d x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/(d*x)^(3/2), x)","F",0
208,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(d*x)^(5/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{\left(d x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/(d*x)^(5/2), x)","F",0
209,-2,0,0,0.000000," ","integrate((d*x)^(5/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
210,-2,0,0,0.000000," ","integrate((d*x)^(3/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
211,-2,0,0,0.000000," ","integrate((d*x)^(1/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
212,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(d*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{\sqrt{d x}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/sqrt(d*x), x)","F",0
213,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(d*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{\left(d x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/(d*x)^(3/2), x)","F",0
214,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(d*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{\left(d x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/(d*x)^(5/2), x)","F",0
215,-2,0,0,0.000000," ","integrate((d*x)^(3/2)*(a+b*arcsin(c*x))^3,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
216,-2,0,0,0.000000," ","integrate((d*x)^(1/2)*(a+b*arcsin(c*x))^3,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
217,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^3/(d*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{3}}{\sqrt{d x}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^3/sqrt(d*x), x)","F",0
218,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^3/(d*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{3}}{\left(d x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^3/(d*x)^(3/2), x)","F",0
219,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^3/(d*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{3}}{\left(d x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^3/(d*x)^(5/2), x)","F",0
220,0,0,0,0.000000," ","integrate((d*x)^(3/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int \frac{\left(d x\right)^{\frac{3}{2}}}{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x)^(3/2)/(b*arcsin(c*x) + a)^2, x)","F",0
225,0,0,0,0.000000," ","integrate((d*x)^(1/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{\sqrt{d x}}{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x)/(b*arcsin(c*x) + a)^2, x)","F",0
226,0,0,0,0.000000," ","integrate(1/(d*x)^(1/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{\sqrt{d x} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x)*(b*arcsin(c*x) + a)^2), x)","F",0
227,0,0,0,0.000000," ","integrate(1/(d*x)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{\left(d x\right)^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((d*x)^(3/2)*(b*arcsin(c*x) + a)^2), x)","F",0
