1,1,195,0,1.025359," ","integrate(x^4*(-c^2*d*x^2+d)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{1}{7} \, a c^{2} d x^{7} + \frac{1}{5} \, a d x^{5} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b d x \arcsin\left(c x\right)}{7 \, c^{4}} - \frac{8 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d x \arcsin\left(c x\right)}{35 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 1\right)} b d x \arcsin\left(c x\right)}{35 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d}{49 \, c^{5}} + \frac{2 \, b d x \arcsin\left(c x\right)}{35 \, c^{4}} - \frac{8 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d}{175 \, c^{5}} + \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d}{105 \, c^{5}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b d}{35 \, c^{5}}"," ",0,"-1/7*a*c^2*d*x^7 + 1/5*a*d*x^5 - 1/7*(c^2*x^2 - 1)^3*b*d*x*arcsin(c*x)/c^4 - 8/35*(c^2*x^2 - 1)^2*b*d*x*arcsin(c*x)/c^4 - 1/35*(c^2*x^2 - 1)*b*d*x*arcsin(c*x)/c^4 - 1/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d/c^5 + 2/35*b*d*x*arcsin(c*x)/c^4 - 8/175*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d/c^5 + 1/105*(-c^2*x^2 + 1)^(3/2)*b*d/c^5 + 2/35*sqrt(-c^2*x^2 + 1)*b*d/c^5","A",0
2,1,144,0,0.704932," ","integrate(x^3*(-c^2*d*x^2+d)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{1}{6} \, a c^{2} d x^{6} + \frac{1}{4} \, a d x^{4} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d x}{36 \, c^{3}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b d \arcsin\left(c x\right)}{6 \, c^{4}} + \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d x}{36 \, c^{3}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b d \arcsin\left(c x\right)}{4 \, c^{4}} + \frac{\sqrt{-c^{2} x^{2} + 1} b d x}{24 \, c^{3}} + \frac{b d \arcsin\left(c x\right)}{24 \, c^{4}}"," ",0,"-1/6*a*c^2*d*x^6 + 1/4*a*d*x^4 - 1/36*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d*x/c^3 - 1/6*(c^2*x^2 - 1)^3*b*d*arcsin(c*x)/c^4 + 1/36*(-c^2*x^2 + 1)^(3/2)*b*d*x/c^3 - 1/4*(c^2*x^2 - 1)^2*b*d*arcsin(c*x)/c^4 + 1/24*sqrt(-c^2*x^2 + 1)*b*d*x/c^3 + 1/24*b*d*arcsin(c*x)/c^4","A",0
3,1,142,0,0.526165," ","integrate(x^2*(-c^2*d*x^2+d)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{1}{5} \, a c^{2} d x^{5} + \frac{1}{3} \, a d x^{3} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b d x \arcsin\left(c x\right)}{5 \, c^{2}} - \frac{{\left(c^{2} x^{2} - 1\right)} b d x \arcsin\left(c x\right)}{15 \, c^{2}} + \frac{2 \, b d x \arcsin\left(c x\right)}{15 \, c^{2}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d}{25 \, c^{3}} + \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d}{45 \, c^{3}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b d}{15 \, c^{3}}"," ",0,"-1/5*a*c^2*d*x^5 + 1/3*a*d*x^3 - 1/5*(c^2*x^2 - 1)^2*b*d*x*arcsin(c*x)/c^2 - 1/15*(c^2*x^2 - 1)*b*d*x*arcsin(c*x)/c^2 + 2/15*b*d*x*arcsin(c*x)/c^2 - 1/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d/c^3 + 1/45*(-c^2*x^2 + 1)^(3/2)*b*d/c^3 + 2/15*sqrt(-c^2*x^2 + 1)*b*d/c^3","A",0
4,1,100,0,0.478354," ","integrate(x*(-c^2*d*x^2+d)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{1}{4} \, a c^{2} d x^{4} + \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d x}{16 \, c} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b d \arcsin\left(c x\right)}{4 \, c^{2}} + \frac{3 \, \sqrt{-c^{2} x^{2} + 1} b d x}{32 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)} a d}{2 \, c^{2}} + \frac{3 \, b d \arcsin\left(c x\right)}{32 \, c^{2}}"," ",0,"-1/4*a*c^2*d*x^4 + 1/16*(-c^2*x^2 + 1)^(3/2)*b*d*x/c - 1/4*(c^2*x^2 - 1)^2*b*d*arcsin(c*x)/c^2 + 3/32*sqrt(-c^2*x^2 + 1)*b*d*x/c + 1/2*(c^2*x^2 - 1)*a*d/c^2 + 3/32*b*d*arcsin(c*x)/c^2","A",0
5,1,80,0,0.566574," ","integrate((-c^2*d*x^2+d)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{1}{3} \, a c^{2} d x^{3} - \frac{1}{3} \, {\left(c^{2} x^{2} - 1\right)} b d x \arcsin\left(c x\right) + \frac{2}{3} \, b d x \arcsin\left(c x\right) + a d x + \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d}{9 \, c} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b d}{3 \, c}"," ",0,"-1/3*a*c^2*d*x^3 - 1/3*(c^2*x^2 - 1)*b*d*x*arcsin(c*x) + 2/3*b*d*x*arcsin(c*x) + a*d*x + 1/9*(-c^2*x^2 + 1)^(3/2)*b*d/c + 2/3*sqrt(-c^2*x^2 + 1)*b*d/c","A",0
6,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)*(a+b*arcsin(c*x))/x,x, algorithm=""giac"")","\int -\frac{{\left(c^{2} d x^{2} - d\right)} {\left(b \arcsin\left(c x\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)*(b*arcsin(c*x) + a)/x, x)","F",0
7,1,856,0,1.475244," ","integrate((-c^2*d*x^2+d)*(a+b*arcsin(c*x))/x^2,x, algorithm=""giac"")","-\frac{b c^{5} d x^{4} \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{a c^{5} d x^{4}}{2 \, {\left(\frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{b c^{4} d x^{3} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{b c^{4} d x^{3} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{b c^{4} d x^{3}}{{\left(\frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{3 \, b c^{3} d x^{2} \arcsin\left(c x\right)}{{\left(\frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{3 \, a c^{3} d x^{2}}{{\left(\frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} + \frac{b c^{2} d x \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c^{2} d x \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c^{2} d x}{{\left(\frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c d \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)}} - \frac{a c d}{2 \, {\left(\frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)}}"," ",0,"-1/2*b*c^5*d*x^4*arcsin(c*x)/((c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) - 1/2*a*c^5*d*x^4/((c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) + b*c^4*d*x^3*log(abs(c)*abs(x))/((c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) - b*c^4*d*x^3*log(sqrt(-c^2*x^2 + 1) + 1)/((c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) + b*c^4*d*x^3/((c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) - 3*b*c^3*d*x^2*arcsin(c*x)/((c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) - 3*a*c^3*d*x^2/((c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) + b*c^2*d*x*log(abs(c)*abs(x))/((c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - b*c^2*d*x*log(sqrt(-c^2*x^2 + 1) + 1)/((c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - b*c^2*d*x/((c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - 1/2*b*c*d*arcsin(c*x)/(c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1)) - 1/2*a*c*d/(c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))","B",0
8,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)*(a+b*arcsin(c*x))/x^3,x, algorithm=""giac"")","\int -\frac{{\left(c^{2} d x^{2} - d\right)} {\left(b \arcsin\left(c x\right) + a\right)}}{x^{3}}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)*(b*arcsin(c*x) + a)/x^3, x)","F",0
9,1,296,0,6.094439," ","integrate((-c^2*d*x^2+d)*(a+b*arcsin(c*x))/x^4,x, algorithm=""giac"")","-\frac{b c^{6} d x^{3} \arcsin\left(c x\right)}{24 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{a c^{6} d x^{3}}{24 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{b c^{5} d x^{2}}{24 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} + \frac{3 \, b c^{4} d x \arcsin\left(c x\right)}{8 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} + \frac{3 \, a c^{4} d x}{8 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{5}{6} \, b c^{3} d \log\left({\left| c \right|} {\left| x \right|}\right) + \frac{5}{6} \, b c^{3} d \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right) + \frac{3 \, b c^{2} d {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)} \arcsin\left(c x\right)}{8 \, x} + \frac{3 \, a c^{2} d {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}}{8 \, x} - \frac{b c d {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}}{24 \, x^{2}} - \frac{b d {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3} \arcsin\left(c x\right)}{24 \, x^{3}} - \frac{a d {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}{24 \, x^{3}}"," ",0,"-1/24*b*c^6*d*x^3*arcsin(c*x)/(sqrt(-c^2*x^2 + 1) + 1)^3 - 1/24*a*c^6*d*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + 1/24*b*c^5*d*x^2/(sqrt(-c^2*x^2 + 1) + 1)^2 + 3/8*b*c^4*d*x*arcsin(c*x)/(sqrt(-c^2*x^2 + 1) + 1) + 3/8*a*c^4*d*x/(sqrt(-c^2*x^2 + 1) + 1) - 5/6*b*c^3*d*log(abs(c)*abs(x)) + 5/6*b*c^3*d*log(sqrt(-c^2*x^2 + 1) + 1) + 3/8*b*c^2*d*(sqrt(-c^2*x^2 + 1) + 1)*arcsin(c*x)/x + 3/8*a*c^2*d*(sqrt(-c^2*x^2 + 1) + 1)/x - 1/24*b*c*d*(sqrt(-c^2*x^2 + 1) + 1)^2/x^2 - 1/24*b*d*(sqrt(-c^2*x^2 + 1) + 1)^3*arcsin(c*x)/x^3 - 1/24*a*d*(sqrt(-c^2*x^2 + 1) + 1)^3/x^3","B",0
10,1,284,0,0.654316," ","integrate(x^4*(-c^2*d*x^2+d)^2*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{9} \, a c^{4} d^{2} x^{9} - \frac{2}{7} \, a c^{2} d^{2} x^{7} + \frac{1}{5} \, a d^{2} x^{5} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b d^{2} x \arcsin\left(c x\right)}{9 \, c^{4}} + \frac{10 \, {\left(c^{2} x^{2} - 1\right)}^{3} b d^{2} x \arcsin\left(c x\right)}{63 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b d^{2} x \arcsin\left(c x\right)}{105 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} b d^{2}}{81 \, c^{5}} - \frac{4 \, {\left(c^{2} x^{2} - 1\right)} b d^{2} x \arcsin\left(c x\right)}{315 \, c^{4}} + \frac{10 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d^{2}}{441 \, c^{5}} + \frac{8 \, b d^{2} x \arcsin\left(c x\right)}{315 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{2}}{525 \, c^{5}} + \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{2}}{945 \, c^{5}} + \frac{8 \, \sqrt{-c^{2} x^{2} + 1} b d^{2}}{315 \, c^{5}}"," ",0,"1/9*a*c^4*d^2*x^9 - 2/7*a*c^2*d^2*x^7 + 1/5*a*d^2*x^5 + 1/9*(c^2*x^2 - 1)^4*b*d^2*x*arcsin(c*x)/c^4 + 10/63*(c^2*x^2 - 1)^3*b*d^2*x*arcsin(c*x)/c^4 + 1/105*(c^2*x^2 - 1)^2*b*d^2*x*arcsin(c*x)/c^4 + 1/81*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*b*d^2/c^5 - 4/315*(c^2*x^2 - 1)*b*d^2*x*arcsin(c*x)/c^4 + 10/441*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d^2/c^5 + 8/315*b*d^2*x*arcsin(c*x)/c^4 + 1/525*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^2/c^5 + 4/945*(-c^2*x^2 + 1)^(3/2)*b*d^2/c^5 + 8/315*sqrt(-c^2*x^2 + 1)*b*d^2/c^5","A",0
11,1,205,0,0.630326," ","integrate(x^3*(-c^2*d*x^2+d)^2*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{8} \, a c^{4} d^{2} x^{8} - \frac{1}{3} \, a c^{2} d^{2} x^{6} + \frac{1}{4} \, a d^{2} x^{4} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d^{2} x}{64 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b d^{2} \arcsin\left(c x\right)}{8 \, c^{4}} + \frac{11 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{2} x}{1152 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b d^{2} \arcsin\left(c x\right)}{6 \, c^{4}} + \frac{55 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{2} x}{4608 \, c^{3}} + \frac{55 \, \sqrt{-c^{2} x^{2} + 1} b d^{2} x}{3072 \, c^{3}} + \frac{55 \, b d^{2} \arcsin\left(c x\right)}{3072 \, c^{4}}"," ",0,"1/8*a*c^4*d^2*x^8 - 1/3*a*c^2*d^2*x^6 + 1/4*a*d^2*x^4 + 1/64*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d^2*x/c^3 + 1/8*(c^2*x^2 - 1)^4*b*d^2*arcsin(c*x)/c^4 + 11/1152*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^2*x/c^3 + 1/6*(c^2*x^2 - 1)^3*b*d^2*arcsin(c*x)/c^4 + 55/4608*(-c^2*x^2 + 1)^(3/2)*b*d^2*x/c^3 + 55/3072*sqrt(-c^2*x^2 + 1)*b*d^2*x/c^3 + 55/3072*b*d^2*arcsin(c*x)/c^4","A",0
12,1,227,0,0.603281," ","integrate(x^2*(-c^2*d*x^2+d)^2*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{7} \, a c^{4} d^{2} x^{7} - \frac{2}{5} \, a c^{2} d^{2} x^{5} + \frac{1}{3} \, a d^{2} x^{3} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b d^{2} x \arcsin\left(c x\right)}{7 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b d^{2} x \arcsin\left(c x\right)}{35 \, c^{2}} - \frac{4 \, {\left(c^{2} x^{2} - 1\right)} b d^{2} x \arcsin\left(c x\right)}{105 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d^{2}}{49 \, c^{3}} + \frac{8 \, b d^{2} x \arcsin\left(c x\right)}{105 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{2}}{175 \, c^{3}} + \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{2}}{315 \, c^{3}} + \frac{8 \, \sqrt{-c^{2} x^{2} + 1} b d^{2}}{105 \, c^{3}}"," ",0,"1/7*a*c^4*d^2*x^7 - 2/5*a*c^2*d^2*x^5 + 1/3*a*d^2*x^3 + 1/7*(c^2*x^2 - 1)^3*b*d^2*x*arcsin(c*x)/c^2 + 1/35*(c^2*x^2 - 1)^2*b*d^2*x*arcsin(c*x)/c^2 - 4/105*(c^2*x^2 - 1)*b*d^2*x*arcsin(c*x)/c^2 + 1/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d^2/c^3 + 8/105*b*d^2*x*arcsin(c*x)/c^2 + 1/175*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^2/c^3 + 4/315*(-c^2*x^2 + 1)^(3/2)*b*d^2/c^3 + 8/105*sqrt(-c^2*x^2 + 1)*b*d^2/c^3","A",0
13,1,157,0,0.654065," ","integrate(x*(-c^2*d*x^2+d)^2*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{6} \, a c^{4} d^{2} x^{6} - \frac{1}{2} \, a c^{2} d^{2} x^{4} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{2} x}{36 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b d^{2} \arcsin\left(c x\right)}{6 \, c^{2}} + \frac{5 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{2} x}{144 \, c} + \frac{5 \, \sqrt{-c^{2} x^{2} + 1} b d^{2} x}{96 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)} a d^{2}}{2 \, c^{2}} + \frac{5 \, b d^{2} \arcsin\left(c x\right)}{96 \, c^{2}}"," ",0,"1/6*a*c^4*d^2*x^6 - 1/2*a*c^2*d^2*x^4 + 1/36*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^2*x/c + 1/6*(c^2*x^2 - 1)^3*b*d^2*arcsin(c*x)/c^2 + 5/144*(-c^2*x^2 + 1)^(3/2)*b*d^2*x/c + 5/96*sqrt(-c^2*x^2 + 1)*b*d^2*x/c + 1/2*(c^2*x^2 - 1)*a*d^2/c^2 + 5/96*b*d^2*arcsin(c*x)/c^2","A",0
14,1,158,0,0.560977," ","integrate((-c^2*d*x^2+d)^2*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{5} \, a c^{4} d^{2} x^{5} - \frac{2}{3} \, a c^{2} d^{2} x^{3} + \frac{1}{5} \, {\left(c^{2} x^{2} - 1\right)}^{2} b d^{2} x \arcsin\left(c x\right) - \frac{4}{15} \, {\left(c^{2} x^{2} - 1\right)} b d^{2} x \arcsin\left(c x\right) + \frac{8}{15} \, b d^{2} x \arcsin\left(c x\right) + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{2}}{25 \, c} + a d^{2} x + \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{2}}{45 \, c} + \frac{8 \, \sqrt{-c^{2} x^{2} + 1} b d^{2}}{15 \, c}"," ",0,"1/5*a*c^4*d^2*x^5 - 2/3*a*c^2*d^2*x^3 + 1/5*(c^2*x^2 - 1)^2*b*d^2*x*arcsin(c*x) - 4/15*(c^2*x^2 - 1)*b*d^2*x*arcsin(c*x) + 8/15*b*d^2*x*arcsin(c*x) + 1/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^2/c + a*d^2*x + 4/45*(-c^2*x^2 + 1)^(3/2)*b*d^2/c + 8/15*sqrt(-c^2*x^2 + 1)*b*d^2/c","A",0
15,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))/x,x, algorithm=""giac"")","\int \frac{{\left(c^{2} d x^{2} - d\right)}^{2} {\left(b \arcsin\left(c x\right) + a\right)}}{x}\,{d x}"," ",0,"integrate((c^2*d*x^2 - d)^2*(b*arcsin(c*x) + a)/x, x)","F",0
16,1,2717,0,8.431172," ","integrate((-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))/x^2,x, algorithm=""giac"")","-\frac{b c^{9} d^{2} x^{8} \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} - \frac{a c^{9} d^{2} x^{8}}{2 \, {\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} + \frac{b c^{8} d^{2} x^{7} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} - \frac{b c^{8} d^{2} x^{7} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{16 \, b c^{8} d^{2} x^{7}}{9 \, {\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} - \frac{6 \, b c^{7} d^{2} x^{6} \arcsin\left(c x\right)}{{\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{6 \, a c^{7} d^{2} x^{6}}{{\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{3 \, b c^{6} d^{2} x^{5} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{3 \, b c^{6} d^{2} x^{5} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{4 \, b c^{6} d^{2} x^{5}}{3 \, {\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{25 \, b c^{5} d^{2} x^{4} \arcsin\left(c x\right)}{3 \, {\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{25 \, a c^{5} d^{2} x^{4}}{3 \, {\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{3 \, b c^{4} d^{2} x^{3} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{3 \, b c^{4} d^{2} x^{3} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{4 \, b c^{4} d^{2} x^{3}}{3 \, {\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{6 \, b c^{3} d^{2} x^{2} \arcsin\left(c x\right)}{{\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{6 \, a c^{3} d^{2} x^{2}}{{\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} + \frac{b c^{2} d^{2} x \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c^{2} d^{2} x \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{16 \, b c^{2} d^{2} x}{9 \, {\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c d^{2} \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)}} - \frac{a c d^{2}}{2 \, {\left(\frac{c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)}}"," ",0,"-1/2*b*c^9*d^2*x^8*arcsin(c*x)/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^8) - 1/2*a*c^9*d^2*x^8/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^8) + b*c^8*d^2*x^7*log(abs(c)*abs(x))/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) - b*c^8*d^2*x^7*log(sqrt(-c^2*x^2 + 1) + 1)/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) + 16/9*b*c^8*d^2*x^7/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) - 6*b*c^7*d^2*x^6*arcsin(c*x)/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) - 6*a*c^7*d^2*x^6/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) + 3*b*c^6*d^2*x^5*log(abs(c)*abs(x))/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) - 3*b*c^6*d^2*x^5*log(sqrt(-c^2*x^2 + 1) + 1)/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) + 4/3*b*c^6*d^2*x^5/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) - 25/3*b*c^5*d^2*x^4*arcsin(c*x)/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) - 25/3*a*c^5*d^2*x^4/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) + 3*b*c^4*d^2*x^3*log(abs(c)*abs(x))/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) - 3*b*c^4*d^2*x^3*log(sqrt(-c^2*x^2 + 1) + 1)/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) - 4/3*b*c^4*d^2*x^3/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) - 6*b*c^3*d^2*x^2*arcsin(c*x)/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) - 6*a*c^3*d^2*x^2/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) + b*c^2*d^2*x*log(abs(c)*abs(x))/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - b*c^2*d^2*x*log(sqrt(-c^2*x^2 + 1) + 1)/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - 16/9*b*c^2*d^2*x/((c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - 1/2*b*c*d^2*arcsin(c*x)/(c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1)) - 1/2*a*c*d^2/(c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))","B",0
17,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))/x^3,x, algorithm=""giac"")","\int \frac{{\left(c^{2} d x^{2} - d\right)}^{2} {\left(b \arcsin\left(c x\right) + a\right)}}{x^{3}}\,{d x}"," ",0,"integrate((c^2*d*x^2 - d)^2*(b*arcsin(c*x) + a)/x^3, x)","F",0
18,1,1409,0,84.141000," ","integrate((-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))/x^4,x, algorithm=""giac"")","-\frac{b c^{11} d^{2} x^{8} \arcsin\left(c x\right)}{24 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} - \frac{a c^{11} d^{2} x^{8}}{24 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} + \frac{b c^{10} d^{2} x^{7}}{24 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{5 \, b c^{9} d^{2} x^{6} \arcsin\left(c x\right)}{6 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{5 \, a c^{9} d^{2} x^{6}}{6 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{11 \, b c^{8} d^{2} x^{5} \log\left({\left| c \right|} {\left| x \right|}\right)}{6 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{11 \, b c^{8} d^{2} x^{5} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{6 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{23 \, b c^{8} d^{2} x^{5}}{24 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{15 \, b c^{7} d^{2} x^{4} \arcsin\left(c x\right)}{4 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{15 \, a c^{7} d^{2} x^{4}}{4 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{11 \, b c^{6} d^{2} x^{3} \log\left({\left| c \right|} {\left| x \right|}\right)}{6 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{11 \, b c^{6} d^{2} x^{3} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{6 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{23 \, b c^{6} d^{2} x^{3}}{24 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{5 \, b c^{5} d^{2} x^{2} \arcsin\left(c x\right)}{6 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} + \frac{5 \, a c^{5} d^{2} x^{2}}{6 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{b c^{4} d^{2} x}{24 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c^{3} d^{2} \arcsin\left(c x\right)}{24 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)}} - \frac{a c^{3} d^{2}}{24 \, {\left(\frac{c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)}}"," ",0,"-1/24*b*c^11*d^2*x^8*arcsin(c*x)/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^8) - 1/24*a*c^11*d^2*x^8/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^8) + 1/24*b*c^10*d^2*x^7/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^7) + 5/6*b*c^9*d^2*x^6*arcsin(c*x)/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^6) + 5/6*a*c^9*d^2*x^6/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^6) - 11/6*b*c^8*d^2*x^5*log(abs(c)*abs(x))/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) + 11/6*b*c^8*d^2*x^5*log(sqrt(-c^2*x^2 + 1) + 1)/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) - 23/24*b*c^8*d^2*x^5/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) + 15/4*b*c^7*d^2*x^4*arcsin(c*x)/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^4) + 15/4*a*c^7*d^2*x^4/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^4) - 11/6*b*c^6*d^2*x^3*log(abs(c)*abs(x))/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3) + 11/6*b*c^6*d^2*x^3*log(sqrt(-c^2*x^2 + 1) + 1)/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3) + 23/24*b*c^6*d^2*x^3/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3) + 5/6*b*c^5*d^2*x^2*arcsin(c*x)/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^2) + 5/6*a*c^5*d^2*x^2/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^2) - 1/24*b*c^4*d^2*x/((c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)) - 1/24*b*c^3*d^2*arcsin(c*x)/(c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3) - 1/24*a*c^3*d^2/(c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)","B",0
19,1,353,0,0.427059," ","integrate(x^4*(-c^2*d*x^2+d)^3*(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{1}{11} \, a c^{6} d^{3} x^{11} + \frac{1}{3} \, a c^{4} d^{3} x^{9} - \frac{3}{7} \, a c^{2} d^{3} x^{7} + \frac{1}{5} \, a d^{3} x^{5} - \frac{{\left(c^{2} x^{2} - 1\right)}^{5} b d^{3} x \arcsin\left(c x\right)}{11 \, c^{4}} - \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{4} b d^{3} x \arcsin\left(c x\right)}{33 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b d^{3} x \arcsin\left(c x\right)}{231 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{5} \sqrt{-c^{2} x^{2} + 1} b d^{3}}{121 \, c^{5}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d^{3} x \arcsin\left(c x\right)}{385 \, c^{4}} - \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} b d^{3}}{297 \, c^{5}} - \frac{8 \, {\left(c^{2} x^{2} - 1\right)} b d^{3} x \arcsin\left(c x\right)}{1155 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d^{3}}{1617 \, c^{5}} + \frac{16 \, b d^{3} x \arcsin\left(c x\right)}{1155 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{3}}{1925 \, c^{5}} + \frac{8 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{3}}{3465 \, c^{5}} + \frac{16 \, \sqrt{-c^{2} x^{2} + 1} b d^{3}}{1155 \, c^{5}}"," ",0,"-1/11*a*c^6*d^3*x^11 + 1/3*a*c^4*d^3*x^9 - 3/7*a*c^2*d^3*x^7 + 1/5*a*d^3*x^5 - 1/11*(c^2*x^2 - 1)^5*b*d^3*x*arcsin(c*x)/c^4 - 4/33*(c^2*x^2 - 1)^4*b*d^3*x*arcsin(c*x)/c^4 - 1/231*(c^2*x^2 - 1)^3*b*d^3*x*arcsin(c*x)/c^4 - 1/121*(c^2*x^2 - 1)^5*sqrt(-c^2*x^2 + 1)*b*d^3/c^5 + 2/385*(c^2*x^2 - 1)^2*b*d^3*x*arcsin(c*x)/c^4 - 4/297*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*b*d^3/c^5 - 8/1155*(c^2*x^2 - 1)*b*d^3*x*arcsin(c*x)/c^4 - 1/1617*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d^3/c^5 + 16/1155*b*d^3*x*arcsin(c*x)/c^4 + 2/1925*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^3/c^5 + 8/3465*(-c^2*x^2 + 1)^(3/2)*b*d^3/c^5 + 16/1155*sqrt(-c^2*x^2 + 1)*b*d^3/c^5","A",0
20,1,250,0,0.366311," ","integrate(x^3*(-c^2*d*x^2+d)^3*(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{1}{10} \, a c^{6} d^{3} x^{10} + \frac{3}{8} \, a c^{4} d^{3} x^{8} - \frac{1}{2} \, a c^{2} d^{3} x^{6} + \frac{1}{4} \, a d^{3} x^{4} - \frac{{\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} b d^{3} x}{100 \, c^{3}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{5} b d^{3} \arcsin\left(c x\right)}{10 \, c^{4}} - \frac{7 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d^{3} x}{1600 \, c^{3}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b d^{3} \arcsin\left(c x\right)}{8 \, c^{4}} + \frac{49 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{3} x}{9600 \, c^{3}} + \frac{49 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{3} x}{7680 \, c^{3}} + \frac{49 \, \sqrt{-c^{2} x^{2} + 1} b d^{3} x}{5120 \, c^{3}} + \frac{49 \, b d^{3} \arcsin\left(c x\right)}{5120 \, c^{4}}"," ",0,"-1/10*a*c^6*d^3*x^10 + 3/8*a*c^4*d^3*x^8 - 1/2*a*c^2*d^3*x^6 + 1/4*a*d^3*x^4 - 1/100*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*b*d^3*x/c^3 - 1/10*(c^2*x^2 - 1)^5*b*d^3*arcsin(c*x)/c^4 - 7/1600*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d^3*x/c^3 - 1/8*(c^2*x^2 - 1)^4*b*d^3*arcsin(c*x)/c^4 + 49/9600*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^3*x/c^3 + 49/7680*(-c^2*x^2 + 1)^(3/2)*b*d^3*x/c^3 + 49/5120*sqrt(-c^2*x^2 + 1)*b*d^3*x/c^3 + 49/5120*b*d^3*arcsin(c*x)/c^4","A",0
21,1,296,0,0.428577," ","integrate(x^2*(-c^2*d*x^2+d)^3*(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{1}{9} \, a c^{6} d^{3} x^{9} + \frac{3}{7} \, a c^{4} d^{3} x^{7} - \frac{3}{5} \, a c^{2} d^{3} x^{5} - \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b d^{3} x \arcsin\left(c x\right)}{9 \, c^{2}} + \frac{1}{3} \, a d^{3} x^{3} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b d^{3} x \arcsin\left(c x\right)}{63 \, c^{2}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d^{3} x \arcsin\left(c x\right)}{105 \, c^{2}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} b d^{3}}{81 \, c^{3}} - \frac{8 \, {\left(c^{2} x^{2} - 1\right)} b d^{3} x \arcsin\left(c x\right)}{315 \, c^{2}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d^{3}}{441 \, c^{3}} + \frac{16 \, b d^{3} x \arcsin\left(c x\right)}{315 \, c^{2}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{3}}{525 \, c^{3}} + \frac{8 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{3}}{945 \, c^{3}} + \frac{16 \, \sqrt{-c^{2} x^{2} + 1} b d^{3}}{315 \, c^{3}}"," ",0,"-1/9*a*c^6*d^3*x^9 + 3/7*a*c^4*d^3*x^7 - 3/5*a*c^2*d^3*x^5 - 1/9*(c^2*x^2 - 1)^4*b*d^3*x*arcsin(c*x)/c^2 + 1/3*a*d^3*x^3 - 1/63*(c^2*x^2 - 1)^3*b*d^3*x*arcsin(c*x)/c^2 + 2/105*(c^2*x^2 - 1)^2*b*d^3*x*arcsin(c*x)/c^2 - 1/81*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*b*d^3/c^3 - 8/315*(c^2*x^2 - 1)*b*d^3*x*arcsin(c*x)/c^2 - 1/441*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d^3/c^3 + 16/315*b*d^3*x*arcsin(c*x)/c^2 + 2/525*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^3/c^3 + 8/945*(-c^2*x^2 + 1)^(3/2)*b*d^3/c^3 + 16/315*sqrt(-c^2*x^2 + 1)*b*d^3/c^3","A",0
22,1,202,0,0.524629," ","integrate(x*(-c^2*d*x^2+d)^3*(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{1}{8} \, a c^{6} d^{3} x^{8} + \frac{1}{2} \, a c^{4} d^{3} x^{6} - \frac{3}{4} \, a c^{2} d^{3} x^{4} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d^{3} x}{64 \, c} - \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b d^{3} \arcsin\left(c x\right)}{8 \, c^{2}} + \frac{7 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{3} x}{384 \, c} + \frac{35 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{3} x}{1536 \, c} + \frac{35 \, \sqrt{-c^{2} x^{2} + 1} b d^{3} x}{1024 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)} a d^{3}}{2 \, c^{2}} + \frac{35 \, b d^{3} \arcsin\left(c x\right)}{1024 \, c^{2}}"," ",0,"-1/8*a*c^6*d^3*x^8 + 1/2*a*c^4*d^3*x^6 - 3/4*a*c^2*d^3*x^4 - 1/64*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d^3*x/c - 1/8*(c^2*x^2 - 1)^4*b*d^3*arcsin(c*x)/c^2 + 7/384*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^3*x/c + 35/1536*(-c^2*x^2 + 1)^(3/2)*b*d^3*x/c + 35/1024*sqrt(-c^2*x^2 + 1)*b*d^3*x/c + 1/2*(c^2*x^2 - 1)*a*d^3/c^2 + 35/1024*b*d^3*arcsin(c*x)/c^2","A",0
23,1,224,0,0.348181," ","integrate((-c^2*d*x^2+d)^3*(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{1}{7} \, a c^{6} d^{3} x^{7} + \frac{3}{5} \, a c^{4} d^{3} x^{5} - a c^{2} d^{3} x^{3} - \frac{1}{7} \, {\left(c^{2} x^{2} - 1\right)}^{3} b d^{3} x \arcsin\left(c x\right) + \frac{6}{35} \, {\left(c^{2} x^{2} - 1\right)}^{2} b d^{3} x \arcsin\left(c x\right) - \frac{8}{35} \, {\left(c^{2} x^{2} - 1\right)} b d^{3} x \arcsin\left(c x\right) - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d^{3}}{49 \, c} + \frac{16}{35} \, b d^{3} x \arcsin\left(c x\right) + \frac{6 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{3}}{175 \, c} + a d^{3} x + \frac{8 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{3}}{105 \, c} + \frac{16 \, \sqrt{-c^{2} x^{2} + 1} b d^{3}}{35 \, c}"," ",0,"-1/7*a*c^6*d^3*x^7 + 3/5*a*c^4*d^3*x^5 - a*c^2*d^3*x^3 - 1/7*(c^2*x^2 - 1)^3*b*d^3*x*arcsin(c*x) + 6/35*(c^2*x^2 - 1)^2*b*d^3*x*arcsin(c*x) - 8/35*(c^2*x^2 - 1)*b*d^3*x*arcsin(c*x) - 1/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d^3/c + 16/35*b*d^3*x*arcsin(c*x) + 6/175*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^3/c + a*d^3*x + 8/105*(-c^2*x^2 + 1)^(3/2)*b*d^3/c + 16/35*sqrt(-c^2*x^2 + 1)*b*d^3/c","A",0
24,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))/x,x, algorithm=""giac"")","\int -\frac{{\left(c^{2} d x^{2} - d\right)}^{3} {\left(b \arcsin\left(c x\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)^3*(b*arcsin(c*x) + a)/x, x)","F",0
25,1,5513,0,48.644014," ","integrate((-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))/x^2,x, algorithm=""giac"")","-\frac{b c^{13} d^{3} x^{12} \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{12}} - \frac{a c^{13} d^{3} x^{12}}{2 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{12}} + \frac{b c^{12} d^{3} x^{11} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} - \frac{b c^{12} d^{3} x^{11} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{61 \, b c^{12} d^{3} x^{11}}{25 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} - \frac{9 \, b c^{11} d^{3} x^{10} \arcsin\left(c x\right)}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{10}} - \frac{9 \, a c^{11} d^{3} x^{10}}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{10}} + \frac{5 \, b c^{10} d^{3} x^{9} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} - \frac{5 \, b c^{10} d^{3} x^{9} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{31 \, b c^{10} d^{3} x^{9}}{5 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} - \frac{47 \, b c^{9} d^{3} x^{8} \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} - \frac{47 \, a c^{9} d^{3} x^{8}}{2 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} + \frac{10 \, b c^{8} d^{3} x^{7} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} - \frac{10 \, b c^{8} d^{3} x^{7} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{22 \, b c^{8} d^{3} x^{7}}{5 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} - \frac{182 \, b c^{7} d^{3} x^{6} \arcsin\left(c x\right)}{5 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{182 \, a c^{7} d^{3} x^{6}}{5 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{10 \, b c^{6} d^{3} x^{5} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{10 \, b c^{6} d^{3} x^{5} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{22 \, b c^{6} d^{3} x^{5}}{5 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{47 \, b c^{5} d^{3} x^{4} \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{47 \, a c^{5} d^{3} x^{4}}{2 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{5 \, b c^{4} d^{3} x^{3} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{5 \, b c^{4} d^{3} x^{3} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{31 \, b c^{4} d^{3} x^{3}}{5 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{9 \, b c^{3} d^{3} x^{2} \arcsin\left(c x\right)}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{9 \, a c^{3} d^{3} x^{2}}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} + \frac{b c^{2} d^{3} x \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c^{2} d^{3} x \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{61 \, b c^{2} d^{3} x}{25 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c d^{3} \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)}} - \frac{a c d^{3}}{2 \, {\left(\frac{c^{11} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{9} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{7} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{5} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{3} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)}}"," ",0,"-1/2*b*c^13*d^3*x^12*arcsin(c*x)/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^12) - 1/2*a*c^13*d^3*x^12/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^12) + b*c^12*d^3*x^11*log(abs(c)*abs(x))/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^11) - b*c^12*d^3*x^11*log(sqrt(-c^2*x^2 + 1) + 1)/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^11) + 61/25*b*c^12*d^3*x^11/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^11) - 9*b*c^11*d^3*x^10*arcsin(c*x)/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^10) - 9*a*c^11*d^3*x^10/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^10) + 5*b*c^10*d^3*x^9*log(abs(c)*abs(x))/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^9) - 5*b*c^10*d^3*x^9*log(sqrt(-c^2*x^2 + 1) + 1)/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^9) + 31/5*b*c^10*d^3*x^9/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^9) - 47/2*b*c^9*d^3*x^8*arcsin(c*x)/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^8) - 47/2*a*c^9*d^3*x^8/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^8) + 10*b*c^8*d^3*x^7*log(abs(c)*abs(x))/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) - 10*b*c^8*d^3*x^7*log(sqrt(-c^2*x^2 + 1) + 1)/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) + 22/5*b*c^8*d^3*x^7/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) - 182/5*b*c^7*d^3*x^6*arcsin(c*x)/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) - 182/5*a*c^7*d^3*x^6/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) + 10*b*c^6*d^3*x^5*log(abs(c)*abs(x))/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) - 10*b*c^6*d^3*x^5*log(sqrt(-c^2*x^2 + 1) + 1)/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) - 22/5*b*c^6*d^3*x^5/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) - 47/2*b*c^5*d^3*x^4*arcsin(c*x)/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) - 47/2*a*c^5*d^3*x^4/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) + 5*b*c^4*d^3*x^3*log(abs(c)*abs(x))/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) - 5*b*c^4*d^3*x^3*log(sqrt(-c^2*x^2 + 1) + 1)/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) - 31/5*b*c^4*d^3*x^3/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) - 9*b*c^3*d^3*x^2*arcsin(c*x)/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) - 9*a*c^3*d^3*x^2/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) + b*c^2*d^3*x*log(abs(c)*abs(x))/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - b*c^2*d^3*x*log(sqrt(-c^2*x^2 + 1) + 1)/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - 61/25*b*c^2*d^3*x/((c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - 1/2*b*c*d^3*arcsin(c*x)/(c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1)) - 1/2*a*c*d^3/(c^11*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^9*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^7*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^5*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^3*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c*x/(sqrt(-c^2*x^2 + 1) + 1))","B",0
26,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))/x^3,x, algorithm=""giac"")","\int -\frac{{\left(c^{2} d x^{2} - d\right)}^{3} {\left(b \arcsin\left(c x\right) + a\right)}}{x^{3}}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)^3*(b*arcsin(c*x) + a)/x^3, x)","F",0
27,-1,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))/x^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
28,0,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{4}}{c^{2} d x^{2} - d}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)*x^4/(c^2*d*x^2 - d), x)","F",0
29,0,0,0,0.000000," ","integrate(x^3*(a+b*arcsin(c*x))/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{3}}{c^{2} d x^{2} - d}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)*x^3/(c^2*d*x^2 - d), x)","F",0
30,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{2}}{c^{2} d x^{2} - d}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)*x^2/(c^2*d*x^2 - d), x)","F",0
31,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)} x}{c^{2} d x^{2} - d}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)*x/(c^2*d*x^2 - d), x)","F",0
32,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{b \arcsin\left(c x\right) + a}{c^{2} d x^{2} - d}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)/(c^2*d*x^2 - d), x)","F",0
33,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{b \arcsin\left(c x\right) + a}{{\left(c^{2} d x^{2} - d\right)} x}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)/((c^2*d*x^2 - d)*x), x)","F",0
34,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^2/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{b \arcsin\left(c x\right) + a}{{\left(c^{2} d x^{2} - d\right)} x^{2}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)/((c^2*d*x^2 - d)*x^2), x)","F",0
35,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^3/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{b \arcsin\left(c x\right) + a}{{\left(c^{2} d x^{2} - d\right)} x^{3}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)/((c^2*d*x^2 - d)*x^3), x)","F",0
36,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^4/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{b \arcsin\left(c x\right) + a}{{\left(c^{2} d x^{2} - d\right)} x^{4}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)/((c^2*d*x^2 - d)*x^4), x)","F",0
37,0,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{4}}{{\left(c^{2} d x^{2} - d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^4/(c^2*d*x^2 - d)^2, x)","F",0
38,0,0,0,0.000000," ","integrate(x^3*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{3}}{{\left(c^{2} d x^{2} - d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^3/(c^2*d*x^2 - d)^2, x)","F",0
39,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{2}}{{\left(c^{2} d x^{2} - d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^2/(c^2*d*x^2 - d)^2, x)","F",0
40,1,89,0,1.175769," ","integrate(x*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","-\frac{b x^{2} \arcsin\left(c x\right)}{2 \, {\left(c^{2} x^{2} - 1\right)} d^{2}} - \frac{a x^{2}}{2 \, {\left(c^{2} x^{2} - 1\right)} d^{2}} - \frac{b x}{2 \, \sqrt{-c^{2} x^{2} + 1} c d^{2}} + \frac{b \arcsin\left(c x\right)}{2 \, c^{2} d^{2}} + \frac{a}{2 \, c^{2} d^{2}}"," ",0,"-1/2*b*x^2*arcsin(c*x)/((c^2*x^2 - 1)*d^2) - 1/2*a*x^2/((c^2*x^2 - 1)*d^2) - 1/2*b*x/(sqrt(-c^2*x^2 + 1)*c*d^2) + 1/2*b*arcsin(c*x)/(c^2*d^2) + 1/2*a/(c^2*d^2)","A",0
41,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(c^{2} d x^{2} - d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/(c^2*d*x^2 - d)^2, x)","F",0
42,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(c^{2} d x^{2} - d\right)}^{2} x}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((c^2*d*x^2 - d)^2*x), x)","F",0
43,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^2/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
44,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^3/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(c^{2} d x^{2} - d\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((c^2*d*x^2 - d)^2*x^3), x)","F",0
45,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^4/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(c^{2} d x^{2} - d\right)}^{2} x^{4}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((c^2*d*x^2 - d)^2*x^4), x)","F",0
46,0,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{4}}{{\left(c^{2} d x^{2} - d\right)}^{3}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)*x^4/(c^2*d*x^2 - d)^3, x)","F",0
47,1,124,0,0.319028," ","integrate(x^3*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\frac{b x^{4} \arcsin\left(c x\right)}{4 \, {\left(c^{2} x^{2} - 1\right)}^{2} d^{3}} + \frac{a x^{4}}{4 \, {\left(c^{2} x^{2} - 1\right)}^{2} d^{3}} + \frac{b x^{3}}{12 \, {\left(c^{2} x^{2} - 1\right)} \sqrt{-c^{2} x^{2} + 1} c d^{3}} + \frac{b x}{4 \, \sqrt{-c^{2} x^{2} + 1} c^{3} d^{3}} - \frac{b \arcsin\left(c x\right)}{4 \, c^{4} d^{3}} - \frac{a}{4 \, c^{4} d^{3}}"," ",0,"1/4*b*x^4*arcsin(c*x)/((c^2*x^2 - 1)^2*d^3) + 1/4*a*x^4/((c^2*x^2 - 1)^2*d^3) + 1/12*b*x^3/((c^2*x^2 - 1)*sqrt(-c^2*x^2 + 1)*c*d^3) + 1/4*b*x/(sqrt(-c^2*x^2 + 1)*c^3*d^3) - 1/4*b*arcsin(c*x)/(c^4*d^3) - 1/4*a/(c^4*d^3)","A",0
48,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{2}}{{\left(c^{2} d x^{2} - d\right)}^{3}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)*x^2/(c^2*d*x^2 - d)^3, x)","F",0
49,1,172,0,0.358967," ","integrate(x*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\frac{b c^{2} x^{4} \arcsin\left(c x\right)}{4 \, {\left(c^{2} x^{2} - 1\right)}^{2} d^{3}} + \frac{a c^{2} x^{4}}{4 \, {\left(c^{2} x^{2} - 1\right)}^{2} d^{3}} + \frac{b c x^{3}}{12 \, {\left(c^{2} x^{2} - 1\right)} \sqrt{-c^{2} x^{2} + 1} d^{3}} - \frac{b x^{2} \arcsin\left(c x\right)}{2 \, {\left(c^{2} x^{2} - 1\right)} d^{3}} - \frac{a x^{2}}{2 \, {\left(c^{2} x^{2} - 1\right)} d^{3}} - \frac{b x}{4 \, \sqrt{-c^{2} x^{2} + 1} c d^{3}} + \frac{b \arcsin\left(c x\right)}{4 \, c^{2} d^{3}} + \frac{a}{4 \, c^{2} d^{3}}"," ",0,"1/4*b*c^2*x^4*arcsin(c*x)/((c^2*x^2 - 1)^2*d^3) + 1/4*a*c^2*x^4/((c^2*x^2 - 1)^2*d^3) + 1/12*b*c*x^3/((c^2*x^2 - 1)*sqrt(-c^2*x^2 + 1)*d^3) - 1/2*b*x^2*arcsin(c*x)/((c^2*x^2 - 1)*d^3) - 1/2*a*x^2/((c^2*x^2 - 1)*d^3) - 1/4*b*x/(sqrt(-c^2*x^2 + 1)*c*d^3) + 1/4*b*arcsin(c*x)/(c^2*d^3) + 1/4*a/(c^2*d^3)","B",0
50,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\int -\frac{b \arcsin\left(c x\right) + a}{{\left(c^{2} d x^{2} - d\right)}^{3}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)/(c^2*d*x^2 - d)^3, x)","F",0
51,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\int -\frac{b \arcsin\left(c x\right) + a}{{\left(c^{2} d x^{2} - d\right)}^{3} x}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)/((c^2*d*x^2 - d)^3*x), x)","F",0
52,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^2/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\int -\frac{b \arcsin\left(c x\right) + a}{{\left(c^{2} d x^{2} - d\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)/((c^2*d*x^2 - d)^3*x^2), x)","F",0
53,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^3/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\int -\frac{b \arcsin\left(c x\right) + a}{{\left(c^{2} d x^{2} - d\right)}^{3} x^{3}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)/((c^2*d*x^2 - d)^3*x^3), x)","F",0
54,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^4/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\int -\frac{b \arcsin\left(c x\right) + a}{{\left(c^{2} d x^{2} - d\right)}^{3} x^{4}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)/((c^2*d*x^2 - d)^3*x^4), x)","F",0
55,0,0,0,0.000000," ","integrate(x^4*(-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \sqrt{-c^{2} d x^{2} + d} {\left(b \arcsin\left(c x\right) + a\right)} x^{4}\,{d x}"," ",0,"integrate(sqrt(-c^2*d*x^2 + d)*(b*arcsin(c*x) + a)*x^4, x)","F",0
56,0,0,0,0.000000," ","integrate(x^2*(-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \sqrt{-c^{2} d x^{2} + d} {\left(b \arcsin\left(c x\right) + a\right)} x^{2}\,{d x}"," ",0,"integrate(sqrt(-c^2*d*x^2 + d)*(b*arcsin(c*x) + a)*x^2, x)","F",0
57,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
58,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))/x^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
59,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))/x^4,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
60,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))/x^6,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
61,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))/x^8,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
62,-2,0,0,0.000000," ","integrate(x^5*(-c^2*d*x^2+d)^(1/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
63,-2,0,0,0.000000," ","integrate(x^3*(-c^2*d*x^2+d)^(1/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
64,-2,0,0,0.000000," ","integrate(x*(-c^2*d*x^2+d)^(1/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
65,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
66,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))/x^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
67,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
68,0,0,0,0.000000," ","integrate(x^4*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int {\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)} x^{4}\,{d x}"," ",0,"integrate((-c^2*d*x^2 + d)^(3/2)*(b*arcsin(c*x) + a)*x^4, x)","F",0
69,0,0,0,0.000000," ","integrate(x^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int {\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)} x^{2}\,{d x}"," ",0,"integrate((-c^2*d*x^2 + d)^(3/2)*(b*arcsin(c*x) + a)*x^2, x)","F",0
70,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
71,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/x^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
72,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/x^4,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
73,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/x^6,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
74,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/x^8,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
75,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/x^10,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
76,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/x^12,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
77,-2,0,0,0.000000," ","integrate(x^7*(-c^2*d*x^2+d)^(3/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
78,-2,0,0,0.000000," ","integrate(x^5*(-c^2*d*x^2+d)^(3/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
79,-2,0,0,0.000000," ","integrate(x^3*(-c^2*d*x^2+d)^(3/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
80,-2,0,0,0.000000," ","integrate(x*(-c^2*d*x^2+d)^(3/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
81,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
82,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/x^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
83,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
84,0,0,0,0.000000," ","integrate(x^4*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int {\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)} x^{4}\,{d x}"," ",0,"integrate((-c^2*d*x^2 + d)^(5/2)*(b*arcsin(c*x) + a)*x^4, x)","F",0
85,0,0,0,0.000000," ","integrate(x^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int {\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)} x^{2}\,{d x}"," ",0,"integrate((-c^2*d*x^2 + d)^(5/2)*(b*arcsin(c*x) + a)*x^2, x)","F",0
86,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
87,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/x^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
88,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/x^4,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
89,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/x^6,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
90,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/x^8,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
91,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/x^10,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
92,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/x^12,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
93,-2,0,0,0.000000," ","integrate(x^5*(-c^2*d*x^2+d)^(5/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
94,-2,0,0,0.000000," ","integrate(x^3*(-c^2*d*x^2+d)^(5/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
95,-2,0,0,0.000000," ","integrate(x*(-c^2*d*x^2+d)^(5/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
96,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
97,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/x^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
98,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
99,1,27,0,0.614301," ","integrate(arcsin(x)*(-x^2+1)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{-x^{2} + 1} x \arcsin\left(x\right) - \frac{1}{4} \, x^{2} + \frac{1}{4} \, \arcsin\left(x\right)^{2} + \frac{1}{8}"," ",0,"1/2*sqrt(-x^2 + 1)*x*arcsin(x) - 1/4*x^2 + 1/4*arcsin(x)^2 + 1/8","A",0
100,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x))*(-pi*c^2*x^2+pi)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
101,1,91,0,0.403000," ","integrate(x^4*arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x \arcsin\left(a x\right)}{4 \, a^{4}} - \frac{5 \, \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)}{8 \, a^{4}} + \frac{{\left(a^{2} x^{2} - 1\right)}^{2}}{16 \, a^{5}} + \frac{3 \, \arcsin\left(a x\right)^{2}}{16 \, a^{5}} + \frac{5 \, {\left(a^{2} x^{2} - 1\right)}}{16 \, a^{5}} + \frac{17}{128 \, a^{5}}"," ",0,"1/4*(-a^2*x^2 + 1)^(3/2)*x*arcsin(a*x)/a^4 - 5/8*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)/a^4 + 1/16*(a^2*x^2 - 1)^2/a^5 + 3/16*arcsin(a*x)^2/a^5 + 5/16*(a^2*x^2 - 1)/a^5 + 17/128/a^5","A",0
102,-2,0,0,0.000000," ","integrate(x^3*arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
103,1,53,0,0.402027," ","integrate(x^2*arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)}{2 \, a^{2}} + \frac{\arcsin\left(a x\right)^{2}}{4 \, a^{3}} + \frac{a^{2} x^{2} - 1}{4 \, a^{3}} + \frac{1}{8 \, a^{3}}"," ",0,"-1/2*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)/a^2 + 1/4*arcsin(a*x)^2/a^3 + 1/4*(a^2*x^2 - 1)/a^3 + 1/8/a^3","A",0
104,1,27,0,0.420651," ","integrate(x*arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{x}{a} - \frac{\sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)}{a^{2}}"," ",0,"x/a - sqrt(-a^2*x^2 + 1)*arcsin(a*x)/a^2","A",0
105,1,11,0,0.355421," ","integrate(arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{\arcsin\left(a x\right)^{2}}{2 \, a}"," ",0,"1/2*arcsin(a*x)^2/a","A",0
106,0,0,0,0.000000," ","integrate(arcsin(a*x)/x/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)}{\sqrt{-a^{2} x^{2} + 1} x}\,{d x}"," ",0,"integrate(arcsin(a*x)/(sqrt(-a^2*x^2 + 1)*x), x)","F",0
107,1,67,0,0.360405," ","integrate(arcsin(a*x)/x^2/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, {\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) + a \log\left({\left| x \right|}\right)"," ",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) + a*log(abs(x))","B",0
108,0,0,0,0.000000," ","integrate(arcsin(a*x)/x^3/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)}{\sqrt{-a^{2} x^{2} + 1} x^{3}}\,{d x}"," ",0,"integrate(arcsin(a*x)/(sqrt(-a^2*x^2 + 1)*x^3), x)","F",0
109,-2,0,0,0.000000," ","integrate(x^5*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
110,0,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{4}}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^4/sqrt(-c^2*d*x^2 + d), x)","F",0
111,-2,0,0,0.000000," ","integrate(x^3*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
112,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{2}}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^2/sqrt(-c^2*d*x^2 + d), x)","F",0
113,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x/sqrt(-c^2*d*x^2 + d), x)","F",0
114,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/sqrt(-c^2*d*x^2 + d), x)","F",0
115,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x/(-c^2*d*x^2+d)^(1/2),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
116,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^2/(-c^2*d*x^2+d)^(1/2),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
117,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^3/(-c^2*d*x^2+d)^(1/2),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
118,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^4/(-c^2*d*x^2+d)^(1/2),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
119,-2,0,0,0.000000," ","integrate(x^5*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
120,-2,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^4-1)]index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
121,-2,0,0,0.000000," ","integrate(x^3*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
122,-2,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^4-1)]index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
123,-2,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^4-1)]index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
124,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^4-1)]index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
125,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((-c^2*d*x^2 + d)^(3/2)*x), x)","F",0
126,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((-c^2*d*x^2 + d)^(3/2)*x^2), x)","F",0
127,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^3/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((-c^2*d*x^2 + d)^(3/2)*x^3), x)","F",0
128,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^4/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((-c^2*d*x^2 + d)^(3/2)*x^4), x)","F",0
129,0,0,0,0.000000," ","integrate(x^6*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{6}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^6/(-c^2*d*x^2 + d)^(5/2), x)","F",0
130,-2,0,0,0.000000," ","integrate(x^5*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
131,0,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{4}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^4/(-c^2*d*x^2 + d)^(5/2), x)","F",0
132,-2,0,0,0.000000," ","integrate(x^3*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
133,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{2}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^2/(-c^2*d*x^2 + d)^(5/2), x)","F",0
134,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x/(-c^2*d*x^2 + d)^(5/2), x)","F",0
135,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/(-c^2*d*x^2 + d)^(5/2), x)","F",0
136,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}} x}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((-c^2*d*x^2 + d)^(5/2)*x), x)","F",0
137,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}} x^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((-c^2*d*x^2 + d)^(5/2)*x^2), x)","F",0
138,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^3/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}} x^{3}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((-c^2*d*x^2 + d)^(5/2)*x^3), x)","F",0
139,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^4/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}} x^{4}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((-c^2*d*x^2 + d)^(5/2)*x^4), x)","F",0
140,1,128,0,0.808245," ","integrate(arcsin(a*x)/(-a^2*c*x^2+c)^(7/2),x, algorithm=""giac"")","-\frac{1}{60} \, \sqrt{c} {\left(\frac{16 \, \log\left({\left| a^{2} x^{2} - 1 \right|}\right)}{a c^{4}} - \frac{24 \, a^{4} x^{4} - 56 \, a^{2} x^{2} + 35}{{\left(a^{2} x^{2} - 1\right)}^{2} a c^{4}}\right)} - \frac{\sqrt{-a^{2} c x^{2} + c} {\left(4 \, {\left(\frac{2 \, a^{4} x^{2}}{c} - \frac{5 \, a^{2}}{c}\right)} x^{2} + \frac{15}{c}\right)} x \arcsin\left(a x\right)}{15 \, {\left(a^{2} c x^{2} - c\right)}^{3}}"," ",0,"-1/60*sqrt(c)*(16*log(abs(a^2*x^2 - 1))/(a*c^4) - (24*a^4*x^4 - 56*a^2*x^2 + 35)/((a^2*x^2 - 1)^2*a*c^4)) - 1/15*sqrt(-a^2*c*x^2 + c)*(4*(2*a^4*x^2/c - 5*a^2/c)*x^2 + 15/c)*x*arcsin(a*x)/(a^2*c*x^2 - c)^3","A",0
141,0,0,0,0.000000," ","integrate((f*x)^(3/2)*(a+b*arcsin(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\left(f x\right)^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}{\sqrt{-c^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate((f*x)^(3/2)*(b*arcsin(c*x) + a)/sqrt(-c^2*x^2 + 1), x)","F",0
142,0,0,0,0.000000," ","integrate((f*x)^(3/2)*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{\left(f x\right)^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((f*x)^(3/2)*(b*arcsin(c*x) + a)/sqrt(-c^2*d*x^2 + d), x)","F",0
143,0,0,0,0.000000," ","integrate(x^m*(-c^2*d*x^2+d)^3*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int -{\left(c^{2} d x^{2} - d\right)}^{3} {\left(b \arcsin\left(c x\right) + a\right)} x^{m}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)^3*(b*arcsin(c*x) + a)*x^m, x)","F",0
144,0,0,0,0.000000," ","integrate(x^m*(-c^2*d*x^2+d)^2*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int {\left(c^{2} d x^{2} - d\right)}^{2} {\left(b \arcsin\left(c x\right) + a\right)} x^{m}\,{d x}"," ",0,"integrate((c^2*d*x^2 - d)^2*(b*arcsin(c*x) + a)*x^m, x)","F",0
145,0,0,0,0.000000," ","integrate(x^m*(-c^2*d*x^2+d)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int -{\left(c^{2} d x^{2} - d\right)} {\left(b \arcsin\left(c x\right) + a\right)} x^{m}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)*(b*arcsin(c*x) + a)*x^m, x)","F",0
146,0,0,0,0.000000," ","integrate(x^m*(a+b*arcsin(c*x))/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{m}}{c^{2} d x^{2} - d}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)*x^m/(c^2*d*x^2 - d), x)","F",0
147,0,0,0,0.000000," ","integrate(x^m*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{m}}{{\left(c^{2} d x^{2} - d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^m/(c^2*d*x^2 - d)^2, x)","F",0
148,0,0,0,0.000000," ","integrate(x^m*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{m}}{{\left(c^{2} d x^{2} - d\right)}^{3}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)*x^m/(c^2*d*x^2 - d)^3, x)","F",0
149,-2,0,0,0.000000," ","integrate(x^m*(-c^2*d*x^2+d)^(5/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
150,-2,0,0,0.000000," ","integrate(x^m*(-c^2*d*x^2+d)^(3/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
151,-2,0,0,0.000000," ","integrate(x^m*(-c^2*d*x^2+d)^(1/2)*(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
152,0,0,0,0.000000," ","integrate(x^m*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{m}}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^m/sqrt(-c^2*d*x^2 + d), x)","F",0
153,-2,0,0,0.000000," ","integrate(x^m*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^4-1)]Evaluation time: 0.59index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
154,0,0,0,0.000000," ","integrate(x^m*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{m}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^m/(-c^2*d*x^2 + d)^(5/2), x)","F",0
155,0,0,0,0.000000," ","integrate(x^m*arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m} \arcsin\left(a x\right)}{\sqrt{-a^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate(x^m*arcsin(a*x)/sqrt(-a^2*x^2 + 1), x)","F",0
156,1,495,0,0.462656," ","integrate(x^4*(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{1}{7} \, a^{2} c^{2} d x^{7} + \frac{1}{5} \, a^{2} d x^{5} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d x \arcsin\left(c x\right)^{2}}{7 \, c^{4}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} a b d x \arcsin\left(c x\right)}{7 \, c^{4}} - \frac{8 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d x \arcsin\left(c x\right)^{2}}{35 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d x}{343 \, c^{4}} - \frac{16 \, {\left(c^{2} x^{2} - 1\right)}^{2} a b d x \arcsin\left(c x\right)}{35 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 1\right)} b^{2} d x \arcsin\left(c x\right)^{2}}{35 \, c^{4}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b^{2} d \arcsin\left(c x\right)}{49 \, c^{5}} + \frac{484 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d x}{42875 \, c^{4}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)} a b d x \arcsin\left(c x\right)}{35 \, c^{4}} + \frac{2 \, b^{2} d x \arcsin\left(c x\right)^{2}}{35 \, c^{4}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} a b d}{49 \, c^{5}} - \frac{16 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} d \arcsin\left(c x\right)}{175 \, c^{5}} - \frac{3358 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d x}{385875 \, c^{4}} + \frac{4 \, a b d x \arcsin\left(c x\right)}{35 \, c^{4}} - \frac{16 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b d}{175 \, c^{5}} + \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d \arcsin\left(c x\right)}{105 \, c^{5}} - \frac{37384 \, b^{2} d x}{385875 \, c^{4}} + \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d}{105 \, c^{5}} + \frac{4 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d \arcsin\left(c x\right)}{35 \, c^{5}} + \frac{4 \, \sqrt{-c^{2} x^{2} + 1} a b d}{35 \, c^{5}}"," ",0,"-1/7*a^2*c^2*d*x^7 + 1/5*a^2*d*x^5 - 1/7*(c^2*x^2 - 1)^3*b^2*d*x*arcsin(c*x)^2/c^4 - 2/7*(c^2*x^2 - 1)^3*a*b*d*x*arcsin(c*x)/c^4 - 8/35*(c^2*x^2 - 1)^2*b^2*d*x*arcsin(c*x)^2/c^4 + 2/343*(c^2*x^2 - 1)^3*b^2*d*x/c^4 - 16/35*(c^2*x^2 - 1)^2*a*b*d*x*arcsin(c*x)/c^4 - 1/35*(c^2*x^2 - 1)*b^2*d*x*arcsin(c*x)^2/c^4 - 2/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b^2*d*arcsin(c*x)/c^5 + 484/42875*(c^2*x^2 - 1)^2*b^2*d*x/c^4 - 2/35*(c^2*x^2 - 1)*a*b*d*x*arcsin(c*x)/c^4 + 2/35*b^2*d*x*arcsin(c*x)^2/c^4 - 2/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*a*b*d/c^5 - 16/175*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*d*arcsin(c*x)/c^5 - 3358/385875*(c^2*x^2 - 1)*b^2*d*x/c^4 + 4/35*a*b*d*x*arcsin(c*x)/c^4 - 16/175*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*d/c^5 + 2/105*(-c^2*x^2 + 1)^(3/2)*b^2*d*arcsin(c*x)/c^5 - 37384/385875*b^2*d*x/c^4 + 2/105*(-c^2*x^2 + 1)^(3/2)*a*b*d/c^5 + 4/35*sqrt(-c^2*x^2 + 1)*b^2*d*arcsin(c*x)/c^5 + 4/35*sqrt(-c^2*x^2 + 1)*a*b*d/c^5","A",0
157,1,377,0,0.564109," ","integrate(x^3*(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{1}{6} \, a^{2} c^{2} d x^{6} + \frac{1}{4} \, a^{2} d x^{4} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} d x \arcsin\left(c x\right)}{18 \, c^{3}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d \arcsin\left(c x\right)^{2}}{6 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b d x}{18 \, c^{3}} + \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d x \arcsin\left(c x\right)}{18 \, c^{3}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} a b d \arcsin\left(c x\right)}{3 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d \arcsin\left(c x\right)^{2}}{4 \, c^{4}} + \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d x}{18 \, c^{3}} + \frac{\sqrt{-c^{2} x^{2} + 1} b^{2} d x \arcsin\left(c x\right)}{12 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d}{108 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} a b d \arcsin\left(c x\right)}{2 \, c^{4}} + \frac{\sqrt{-c^{2} x^{2} + 1} a b d x}{12 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d}{72 \, c^{4}} + \frac{b^{2} d \arcsin\left(c x\right)^{2}}{24 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 1\right)} b^{2} d}{24 \, c^{4}} + \frac{a b d \arcsin\left(c x\right)}{12 \, c^{4}} - \frac{5 \, b^{2} d}{216 \, c^{4}}"," ",0,"-1/6*a^2*c^2*d*x^6 + 1/4*a^2*d*x^4 - 1/18*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*d*x*arcsin(c*x)/c^3 - 1/6*(c^2*x^2 - 1)^3*b^2*d*arcsin(c*x)^2/c^4 - 1/18*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*d*x/c^3 + 1/18*(-c^2*x^2 + 1)^(3/2)*b^2*d*x*arcsin(c*x)/c^3 - 1/3*(c^2*x^2 - 1)^3*a*b*d*arcsin(c*x)/c^4 - 1/4*(c^2*x^2 - 1)^2*b^2*d*arcsin(c*x)^2/c^4 + 1/18*(-c^2*x^2 + 1)^(3/2)*a*b*d*x/c^3 + 1/12*sqrt(-c^2*x^2 + 1)*b^2*d*x*arcsin(c*x)/c^3 + 1/108*(c^2*x^2 - 1)^3*b^2*d/c^4 - 1/2*(c^2*x^2 - 1)^2*a*b*d*arcsin(c*x)/c^4 + 1/12*sqrt(-c^2*x^2 + 1)*a*b*d*x/c^3 + 1/72*(c^2*x^2 - 1)^2*b^2*d/c^4 + 1/24*b^2*d*arcsin(c*x)^2/c^4 - 1/24*(c^2*x^2 - 1)*b^2*d/c^4 + 1/12*a*b*d*arcsin(c*x)/c^4 - 5/216*b^2*d/c^4","B",0
158,1,356,0,0.394574," ","integrate(x^2*(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{1}{5} \, a^{2} c^{2} d x^{5} + \frac{1}{3} \, a^{2} d x^{3} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d x \arcsin\left(c x\right)^{2}}{5 \, c^{2}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} a b d x \arcsin\left(c x\right)}{5 \, c^{2}} - \frac{{\left(c^{2} x^{2} - 1\right)} b^{2} d x \arcsin\left(c x\right)^{2}}{15 \, c^{2}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d x}{125 \, c^{2}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)} a b d x \arcsin\left(c x\right)}{15 \, c^{2}} + \frac{2 \, b^{2} d x \arcsin\left(c x\right)^{2}}{15 \, c^{2}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} d \arcsin\left(c x\right)}{25 \, c^{3}} - \frac{22 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d x}{3375 \, c^{2}} + \frac{4 \, a b d x \arcsin\left(c x\right)}{15 \, c^{2}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b d}{25 \, c^{3}} + \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d \arcsin\left(c x\right)}{45 \, c^{3}} - \frac{856 \, b^{2} d x}{3375 \, c^{2}} + \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d}{45 \, c^{3}} + \frac{4 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d \arcsin\left(c x\right)}{15 \, c^{3}} + \frac{4 \, \sqrt{-c^{2} x^{2} + 1} a b d}{15 \, c^{3}}"," ",0,"-1/5*a^2*c^2*d*x^5 + 1/3*a^2*d*x^3 - 1/5*(c^2*x^2 - 1)^2*b^2*d*x*arcsin(c*x)^2/c^2 - 2/5*(c^2*x^2 - 1)^2*a*b*d*x*arcsin(c*x)/c^2 - 1/15*(c^2*x^2 - 1)*b^2*d*x*arcsin(c*x)^2/c^2 + 2/125*(c^2*x^2 - 1)^2*b^2*d*x/c^2 - 2/15*(c^2*x^2 - 1)*a*b*d*x*arcsin(c*x)/c^2 + 2/15*b^2*d*x*arcsin(c*x)^2/c^2 - 2/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*d*arcsin(c*x)/c^3 - 22/3375*(c^2*x^2 - 1)*b^2*d*x/c^2 + 4/15*a*b*d*x*arcsin(c*x)/c^2 - 2/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*d/c^3 + 2/45*(-c^2*x^2 + 1)^(3/2)*b^2*d*arcsin(c*x)/c^3 - 856/3375*b^2*d*x/c^2 + 2/45*(-c^2*x^2 + 1)^(3/2)*a*b*d/c^3 + 4/15*sqrt(-c^2*x^2 + 1)*b^2*d*arcsin(c*x)/c^3 + 4/15*sqrt(-c^2*x^2 + 1)*a*b*d/c^3","A",0
159,1,248,0,0.412839," ","integrate(x*(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{1}{4} \, a^{2} c^{2} d x^{4} + \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d x \arcsin\left(c x\right)}{8 \, c} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d \arcsin\left(c x\right)^{2}}{4 \, c^{2}} + \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d x}{8 \, c} + \frac{3 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d x \arcsin\left(c x\right)}{16 \, c} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} a b d \arcsin\left(c x\right)}{2 \, c^{2}} + \frac{3 \, \sqrt{-c^{2} x^{2} + 1} a b d x}{16 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d}{32 \, c^{2}} + \frac{3 \, b^{2} d \arcsin\left(c x\right)^{2}}{32 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)} a^{2} d}{2 \, c^{2}} - \frac{3 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d}{32 \, c^{2}} + \frac{3 \, a b d \arcsin\left(c x\right)}{16 \, c^{2}} - \frac{15 \, b^{2} d}{256 \, c^{2}}"," ",0,"-1/4*a^2*c^2*d*x^4 + 1/8*(-c^2*x^2 + 1)^(3/2)*b^2*d*x*arcsin(c*x)/c - 1/4*(c^2*x^2 - 1)^2*b^2*d*arcsin(c*x)^2/c^2 + 1/8*(-c^2*x^2 + 1)^(3/2)*a*b*d*x/c + 3/16*sqrt(-c^2*x^2 + 1)*b^2*d*x*arcsin(c*x)/c - 1/2*(c^2*x^2 - 1)^2*a*b*d*arcsin(c*x)/c^2 + 3/16*sqrt(-c^2*x^2 + 1)*a*b*d*x/c + 1/32*(c^2*x^2 - 1)^2*b^2*d/c^2 + 3/32*b^2*d*arcsin(c*x)^2/c^2 + 1/2*(c^2*x^2 - 1)*a^2*d/c^2 - 3/32*(c^2*x^2 - 1)*b^2*d/c^2 + 3/16*a*b*d*arcsin(c*x)/c^2 - 15/256*b^2*d/c^2","B",0
160,1,196,0,0.637945," ","integrate((-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{1}{3} \, a^{2} c^{2} d x^{3} - \frac{1}{3} \, {\left(c^{2} x^{2} - 1\right)} b^{2} d x \arcsin\left(c x\right)^{2} - \frac{2}{3} \, {\left(c^{2} x^{2} - 1\right)} a b d x \arcsin\left(c x\right) + \frac{2}{3} \, b^{2} d x \arcsin\left(c x\right)^{2} + \frac{2}{27} \, {\left(c^{2} x^{2} - 1\right)} b^{2} d x + \frac{4}{3} \, a b d x \arcsin\left(c x\right) + \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d \arcsin\left(c x\right)}{9 \, c} + a^{2} d x - \frac{40}{27} \, b^{2} d x + \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d}{9 \, c} + \frac{4 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d \arcsin\left(c x\right)}{3 \, c} + \frac{4 \, \sqrt{-c^{2} x^{2} + 1} a b d}{3 \, c}"," ",0,"-1/3*a^2*c^2*d*x^3 - 1/3*(c^2*x^2 - 1)*b^2*d*x*arcsin(c*x)^2 - 2/3*(c^2*x^2 - 1)*a*b*d*x*arcsin(c*x) + 2/3*b^2*d*x*arcsin(c*x)^2 + 2/27*(c^2*x^2 - 1)*b^2*d*x + 4/3*a*b*d*x*arcsin(c*x) + 2/9*(-c^2*x^2 + 1)^(3/2)*b^2*d*arcsin(c*x)/c + a^2*d*x - 40/27*b^2*d*x + 2/9*(-c^2*x^2 + 1)^(3/2)*a*b*d/c + 4/3*sqrt(-c^2*x^2 + 1)*b^2*d*arcsin(c*x)/c + 4/3*sqrt(-c^2*x^2 + 1)*a*b*d/c","A",0
161,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/x,x, algorithm=""giac"")","\int -\frac{{\left(c^{2} d x^{2} - d\right)} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)*(b*arcsin(c*x) + a)^2/x, x)","F",0
162,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/x^2,x, algorithm=""giac"")","\int -\frac{{\left(c^{2} d x^{2} - d\right)} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)*(b*arcsin(c*x) + a)^2/x^2, x)","F",0
163,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/x^3,x, algorithm=""giac"")","\int -\frac{{\left(c^{2} d x^{2} - d\right)} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{x^{3}}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)*(b*arcsin(c*x) + a)^2/x^3, x)","F",0
164,-1,0,0,0.000000," ","integrate((-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/x^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
165,1,702,0,1.536651," ","integrate(x^4*(-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{1}{9} \, a^{2} c^{4} d^{2} x^{9} - \frac{2}{7} \, a^{2} c^{2} d^{2} x^{7} + \frac{1}{5} \, a^{2} d^{2} x^{5} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b^{2} d^{2} x \arcsin\left(c x\right)^{2}}{9 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{4} a b d^{2} x \arcsin\left(c x\right)}{9 \, c^{4}} + \frac{10 \, {\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{2} x \arcsin\left(c x\right)^{2}}{63 \, c^{4}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{4} b^{2} d^{2} x}{729 \, c^{4}} + \frac{20 \, {\left(c^{2} x^{2} - 1\right)}^{3} a b d^{2} x \arcsin\left(c x\right)}{63 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{2} x \arcsin\left(c x\right)^{2}}{105 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} \arcsin\left(c x\right)}{81 \, c^{5}} - \frac{836 \, {\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{2} x}{250047 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} a b d^{2} x \arcsin\left(c x\right)}{105 \, c^{4}} - \frac{4 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{2} x \arcsin\left(c x\right)^{2}}{315 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} a b d^{2}}{81 \, c^{5}} + \frac{20 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} \arcsin\left(c x\right)}{441 \, c^{5}} + \frac{33862 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{2} x}{10418625 \, c^{4}} - \frac{8 \, {\left(c^{2} x^{2} - 1\right)} a b d^{2} x \arcsin\left(c x\right)}{315 \, c^{4}} + \frac{8 \, b^{2} d^{2} x \arcsin\left(c x\right)^{2}}{315 \, c^{4}} + \frac{20 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} a b d^{2}}{441 \, c^{5}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} \arcsin\left(c x\right)}{525 \, c^{5}} - \frac{47248 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{2} x}{31255875 \, c^{4}} + \frac{16 \, a b d^{2} x \arcsin\left(c x\right)}{315 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b d^{2}}{525 \, c^{5}} + \frac{8 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d^{2} \arcsin\left(c x\right)}{945 \, c^{5}} - \frac{1493104 \, b^{2} d^{2} x}{31255875 \, c^{4}} + \frac{8 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d^{2}}{945 \, c^{5}} + \frac{16 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} \arcsin\left(c x\right)}{315 \, c^{5}} + \frac{16 \, \sqrt{-c^{2} x^{2} + 1} a b d^{2}}{315 \, c^{5}}"," ",0,"1/9*a^2*c^4*d^2*x^9 - 2/7*a^2*c^2*d^2*x^7 + 1/5*a^2*d^2*x^5 + 1/9*(c^2*x^2 - 1)^4*b^2*d^2*x*arcsin(c*x)^2/c^4 + 2/9*(c^2*x^2 - 1)^4*a*b*d^2*x*arcsin(c*x)/c^4 + 10/63*(c^2*x^2 - 1)^3*b^2*d^2*x*arcsin(c*x)^2/c^4 - 2/729*(c^2*x^2 - 1)^4*b^2*d^2*x/c^4 + 20/63*(c^2*x^2 - 1)^3*a*b*d^2*x*arcsin(c*x)/c^4 + 1/105*(c^2*x^2 - 1)^2*b^2*d^2*x*arcsin(c*x)^2/c^4 + 2/81*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*b^2*d^2*arcsin(c*x)/c^5 - 836/250047*(c^2*x^2 - 1)^3*b^2*d^2*x/c^4 + 2/105*(c^2*x^2 - 1)^2*a*b*d^2*x*arcsin(c*x)/c^4 - 4/315*(c^2*x^2 - 1)*b^2*d^2*x*arcsin(c*x)^2/c^4 + 2/81*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*a*b*d^2/c^5 + 20/441*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b^2*d^2*arcsin(c*x)/c^5 + 33862/10418625*(c^2*x^2 - 1)^2*b^2*d^2*x/c^4 - 8/315*(c^2*x^2 - 1)*a*b*d^2*x*arcsin(c*x)/c^4 + 8/315*b^2*d^2*x*arcsin(c*x)^2/c^4 + 20/441*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*a*b*d^2/c^5 + 2/525*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*d^2*arcsin(c*x)/c^5 - 47248/31255875*(c^2*x^2 - 1)*b^2*d^2*x/c^4 + 16/315*a*b*d^2*x*arcsin(c*x)/c^4 + 2/525*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*d^2/c^5 + 8/945*(-c^2*x^2 + 1)^(3/2)*b^2*d^2*arcsin(c*x)/c^5 - 1493104/31255875*b^2*d^2*x/c^4 + 8/945*(-c^2*x^2 + 1)^(3/2)*a*b*d^2/c^5 + 16/315*sqrt(-c^2*x^2 + 1)*b^2*d^2*arcsin(c*x)/c^5 + 16/315*sqrt(-c^2*x^2 + 1)*a*b*d^2/c^5","B",0
166,1,522,0,0.521845," ","integrate(x^3*(-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{1}{8} \, a^{2} c^{4} d^{2} x^{8} - \frac{1}{3} \, a^{2} c^{2} d^{2} x^{6} + \frac{1}{4} \, a^{2} d^{2} x^{4} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} x \arcsin\left(c x\right)}{32 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b^{2} d^{2} \arcsin\left(c x\right)^{2}}{8 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} a b d^{2} x}{32 \, c^{3}} + \frac{11 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} x \arcsin\left(c x\right)}{576 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} a b d^{2} \arcsin\left(c x\right)}{4 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{2} \arcsin\left(c x\right)^{2}}{6 \, c^{4}} + \frac{11 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b d^{2} x}{576 \, c^{3}} + \frac{55 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d^{2} x \arcsin\left(c x\right)}{2304 \, c^{3}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b^{2} d^{2}}{256 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} a b d^{2} \arcsin\left(c x\right)}{3 \, c^{4}} + \frac{55 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d^{2} x}{2304 \, c^{3}} + \frac{55 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} x \arcsin\left(c x\right)}{1536 \, c^{3}} - \frac{11 \, {\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{2}}{3456 \, c^{4}} + \frac{55 \, \sqrt{-c^{2} x^{2} + 1} a b d^{2} x}{1536 \, c^{3}} + \frac{55 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{2}}{9216 \, c^{4}} + \frac{55 \, b^{2} d^{2} \arcsin\left(c x\right)^{2}}{3072 \, c^{4}} - \frac{55 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{2}}{3072 \, c^{4}} + \frac{55 \, a b d^{2} \arcsin\left(c x\right)}{1536 \, c^{4}} - \frac{9835 \, b^{2} d^{2}}{884736 \, c^{4}}"," ",0,"1/8*a^2*c^4*d^2*x^8 - 1/3*a^2*c^2*d^2*x^6 + 1/4*a^2*d^2*x^4 + 1/32*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b^2*d^2*x*arcsin(c*x)/c^3 + 1/8*(c^2*x^2 - 1)^4*b^2*d^2*arcsin(c*x)^2/c^4 + 1/32*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*a*b*d^2*x/c^3 + 11/576*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*d^2*x*arcsin(c*x)/c^3 + 1/4*(c^2*x^2 - 1)^4*a*b*d^2*arcsin(c*x)/c^4 + 1/6*(c^2*x^2 - 1)^3*b^2*d^2*arcsin(c*x)^2/c^4 + 11/576*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*d^2*x/c^3 + 55/2304*(-c^2*x^2 + 1)^(3/2)*b^2*d^2*x*arcsin(c*x)/c^3 - 1/256*(c^2*x^2 - 1)^4*b^2*d^2/c^4 + 1/3*(c^2*x^2 - 1)^3*a*b*d^2*arcsin(c*x)/c^4 + 55/2304*(-c^2*x^2 + 1)^(3/2)*a*b*d^2*x/c^3 + 55/1536*sqrt(-c^2*x^2 + 1)*b^2*d^2*x*arcsin(c*x)/c^3 - 11/3456*(c^2*x^2 - 1)^3*b^2*d^2/c^4 + 55/1536*sqrt(-c^2*x^2 + 1)*a*b*d^2*x/c^3 + 55/9216*(c^2*x^2 - 1)^2*b^2*d^2/c^4 + 55/3072*b^2*d^2*arcsin(c*x)^2/c^4 - 55/3072*(c^2*x^2 - 1)*b^2*d^2/c^4 + 55/1536*a*b*d^2*arcsin(c*x)/c^4 - 9835/884736*b^2*d^2/c^4","A",0
167,1,553,0,0.502372," ","integrate(x^2*(-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{1}{7} \, a^{2} c^{4} d^{2} x^{7} - \frac{2}{5} \, a^{2} c^{2} d^{2} x^{5} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{2} x \arcsin\left(c x\right)^{2}}{7 \, c^{2}} + \frac{1}{3} \, a^{2} d^{2} x^{3} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} a b d^{2} x \arcsin\left(c x\right)}{7 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{2} x \arcsin\left(c x\right)^{2}}{35 \, c^{2}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{2} x}{343 \, c^{2}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} a b d^{2} x \arcsin\left(c x\right)}{35 \, c^{2}} - \frac{4 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{2} x \arcsin\left(c x\right)^{2}}{105 \, c^{2}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} \arcsin\left(c x\right)}{49 \, c^{3}} + \frac{202 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{2} x}{42875 \, c^{2}} - \frac{8 \, {\left(c^{2} x^{2} - 1\right)} a b d^{2} x \arcsin\left(c x\right)}{105 \, c^{2}} + \frac{8 \, b^{2} d^{2} x \arcsin\left(c x\right)^{2}}{105 \, c^{2}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} a b d^{2}}{49 \, c^{3}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} \arcsin\left(c x\right)}{175 \, c^{3}} + \frac{2528 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{2} x}{1157625 \, c^{2}} + \frac{16 \, a b d^{2} x \arcsin\left(c x\right)}{105 \, c^{2}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b d^{2}}{175 \, c^{3}} + \frac{8 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d^{2} \arcsin\left(c x\right)}{315 \, c^{3}} - \frac{181456 \, b^{2} d^{2} x}{1157625 \, c^{2}} + \frac{8 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d^{2}}{315 \, c^{3}} + \frac{16 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} \arcsin\left(c x\right)}{105 \, c^{3}} + \frac{16 \, \sqrt{-c^{2} x^{2} + 1} a b d^{2}}{105 \, c^{3}}"," ",0,"1/7*a^2*c^4*d^2*x^7 - 2/5*a^2*c^2*d^2*x^5 + 1/7*(c^2*x^2 - 1)^3*b^2*d^2*x*arcsin(c*x)^2/c^2 + 1/3*a^2*d^2*x^3 + 2/7*(c^2*x^2 - 1)^3*a*b*d^2*x*arcsin(c*x)/c^2 + 1/35*(c^2*x^2 - 1)^2*b^2*d^2*x*arcsin(c*x)^2/c^2 - 2/343*(c^2*x^2 - 1)^3*b^2*d^2*x/c^2 + 2/35*(c^2*x^2 - 1)^2*a*b*d^2*x*arcsin(c*x)/c^2 - 4/105*(c^2*x^2 - 1)*b^2*d^2*x*arcsin(c*x)^2/c^2 + 2/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b^2*d^2*arcsin(c*x)/c^3 + 202/42875*(c^2*x^2 - 1)^2*b^2*d^2*x/c^2 - 8/105*(c^2*x^2 - 1)*a*b*d^2*x*arcsin(c*x)/c^2 + 8/105*b^2*d^2*x*arcsin(c*x)^2/c^2 + 2/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*a*b*d^2/c^3 + 2/175*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*d^2*arcsin(c*x)/c^3 + 2528/1157625*(c^2*x^2 - 1)*b^2*d^2*x/c^2 + 16/105*a*b*d^2*x*arcsin(c*x)/c^2 + 2/175*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*d^2/c^3 + 8/315*(-c^2*x^2 + 1)^(3/2)*b^2*d^2*arcsin(c*x)/c^3 - 181456/1157625*b^2*d^2*x/c^2 + 8/315*(-c^2*x^2 + 1)^(3/2)*a*b*d^2/c^3 + 16/105*sqrt(-c^2*x^2 + 1)*b^2*d^2*arcsin(c*x)/c^3 + 16/105*sqrt(-c^2*x^2 + 1)*a*b*d^2/c^3","B",0
168,1,383,0,0.581834," ","integrate(x*(-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{1}{6} \, a^{2} c^{4} d^{2} x^{6} - \frac{1}{2} \, a^{2} c^{2} d^{2} x^{4} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} x \arcsin\left(c x\right)}{18 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{2} \arcsin\left(c x\right)^{2}}{6 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b d^{2} x}{18 \, c} + \frac{5 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d^{2} x \arcsin\left(c x\right)}{72 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} a b d^{2} \arcsin\left(c x\right)}{3 \, c^{2}} + \frac{5 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d^{2} x}{72 \, c} + \frac{5 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} x \arcsin\left(c x\right)}{48 \, c} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{2}}{108 \, c^{2}} + \frac{5 \, \sqrt{-c^{2} x^{2} + 1} a b d^{2} x}{48 \, c} + \frac{5 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{2}}{288 \, c^{2}} + \frac{5 \, b^{2} d^{2} \arcsin\left(c x\right)^{2}}{96 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)} a^{2} d^{2}}{2 \, c^{2}} - \frac{5 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{2}}{96 \, c^{2}} + \frac{5 \, a b d^{2} \arcsin\left(c x\right)}{48 \, c^{2}} - \frac{245 \, b^{2} d^{2}}{6912 \, c^{2}}"," ",0,"1/6*a^2*c^4*d^2*x^6 - 1/2*a^2*c^2*d^2*x^4 + 1/18*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*d^2*x*arcsin(c*x)/c + 1/6*(c^2*x^2 - 1)^3*b^2*d^2*arcsin(c*x)^2/c^2 + 1/18*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*d^2*x/c + 5/72*(-c^2*x^2 + 1)^(3/2)*b^2*d^2*x*arcsin(c*x)/c + 1/3*(c^2*x^2 - 1)^3*a*b*d^2*arcsin(c*x)/c^2 + 5/72*(-c^2*x^2 + 1)^(3/2)*a*b*d^2*x/c + 5/48*sqrt(-c^2*x^2 + 1)*b^2*d^2*x*arcsin(c*x)/c - 1/108*(c^2*x^2 - 1)^3*b^2*d^2/c^2 + 5/48*sqrt(-c^2*x^2 + 1)*a*b*d^2*x/c + 5/288*(c^2*x^2 - 1)^2*b^2*d^2/c^2 + 5/96*b^2*d^2*arcsin(c*x)^2/c^2 + 1/2*(c^2*x^2 - 1)*a^2*d^2/c^2 - 5/96*(c^2*x^2 - 1)*b^2*d^2/c^2 + 5/48*a*b*d^2*arcsin(c*x)/c^2 - 245/6912*b^2*d^2/c^2","B",0
169,1,374,0,1.493520," ","integrate((-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{1}{5} \, a^{2} c^{4} d^{2} x^{5} - \frac{2}{3} \, a^{2} c^{2} d^{2} x^{3} + \frac{1}{5} \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{2} x \arcsin\left(c x\right)^{2} + \frac{2}{5} \, {\left(c^{2} x^{2} - 1\right)}^{2} a b d^{2} x \arcsin\left(c x\right) - \frac{4}{15} \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{2} x \arcsin\left(c x\right)^{2} - \frac{2}{125} \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{2} x - \frac{8}{15} \, {\left(c^{2} x^{2} - 1\right)} a b d^{2} x \arcsin\left(c x\right) + \frac{8}{15} \, b^{2} d^{2} x \arcsin\left(c x\right)^{2} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} \arcsin\left(c x\right)}{25 \, c} + \frac{272}{3375} \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{2} x + \frac{16}{15} \, a b d^{2} x \arcsin\left(c x\right) + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b d^{2}}{25 \, c} + \frac{8 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d^{2} \arcsin\left(c x\right)}{45 \, c} + a^{2} d^{2} x - \frac{4144}{3375} \, b^{2} d^{2} x + \frac{8 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d^{2}}{45 \, c} + \frac{16 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} \arcsin\left(c x\right)}{15 \, c} + \frac{16 \, \sqrt{-c^{2} x^{2} + 1} a b d^{2}}{15 \, c}"," ",0,"1/5*a^2*c^4*d^2*x^5 - 2/3*a^2*c^2*d^2*x^3 + 1/5*(c^2*x^2 - 1)^2*b^2*d^2*x*arcsin(c*x)^2 + 2/5*(c^2*x^2 - 1)^2*a*b*d^2*x*arcsin(c*x) - 4/15*(c^2*x^2 - 1)*b^2*d^2*x*arcsin(c*x)^2 - 2/125*(c^2*x^2 - 1)^2*b^2*d^2*x - 8/15*(c^2*x^2 - 1)*a*b*d^2*x*arcsin(c*x) + 8/15*b^2*d^2*x*arcsin(c*x)^2 + 2/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*d^2*arcsin(c*x)/c + 272/3375*(c^2*x^2 - 1)*b^2*d^2*x + 16/15*a*b*d^2*x*arcsin(c*x) + 2/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*d^2/c + 8/45*(-c^2*x^2 + 1)^(3/2)*b^2*d^2*arcsin(c*x)/c + a^2*d^2*x - 4144/3375*b^2*d^2*x + 8/45*(-c^2*x^2 + 1)^(3/2)*a*b*d^2/c + 16/15*sqrt(-c^2*x^2 + 1)*b^2*d^2*arcsin(c*x)/c + 16/15*sqrt(-c^2*x^2 + 1)*a*b*d^2/c","A",0
170,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))^2/x,x, algorithm=""giac"")","\int \frac{{\left(c^{2} d x^{2} - d\right)}^{2} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((c^2*d*x^2 - d)^2*(b*arcsin(c*x) + a)^2/x, x)","F",0
171,-1,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))^2/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
172,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))^2/x^3,x, algorithm=""giac"")","\int \frac{{\left(c^{2} d x^{2} - d\right)}^{2} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{x^{3}}\,{d x}"," ",0,"integrate((c^2*d*x^2 - d)^2*(b*arcsin(c*x) + a)^2/x^3, x)","F",0
173,-1,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))^2/x^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
174,1,865,0,1.032882," ","integrate(x^4*(-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{1}{11} \, a^{2} c^{6} d^{3} x^{11} + \frac{1}{3} \, a^{2} c^{4} d^{3} x^{9} - \frac{3}{7} \, a^{2} c^{2} d^{3} x^{7} + \frac{1}{5} \, a^{2} d^{3} x^{5} - \frac{{\left(c^{2} x^{2} - 1\right)}^{5} b^{2} d^{3} x \arcsin\left(c x\right)^{2}}{11 \, c^{4}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{5} a b d^{3} x \arcsin\left(c x\right)}{11 \, c^{4}} - \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{4} b^{2} d^{3} x \arcsin\left(c x\right)^{2}}{33 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{5} b^{2} d^{3} x}{1331 \, c^{4}} - \frac{8 \, {\left(c^{2} x^{2} - 1\right)}^{4} a b d^{3} x \arcsin\left(c x\right)}{33 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{3} x \arcsin\left(c x\right)^{2}}{231 \, c^{4}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{5} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} \arcsin\left(c x\right)}{121 \, c^{5}} + \frac{428 \, {\left(c^{2} x^{2} - 1\right)}^{4} b^{2} d^{3} x}{323433 \, c^{4}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} a b d^{3} x \arcsin\left(c x\right)}{231 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{3} x \arcsin\left(c x\right)^{2}}{385 \, c^{4}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{5} \sqrt{-c^{2} x^{2} + 1} a b d^{3}}{121 \, c^{5}} - \frac{8 \, {\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} \arcsin\left(c x\right)}{297 \, c^{5}} - \frac{148174 \, {\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{3} x}{110937519 \, c^{4}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{2} a b d^{3} x \arcsin\left(c x\right)}{385 \, c^{4}} - \frac{8 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{3} x \arcsin\left(c x\right)^{2}}{1155 \, c^{4}} - \frac{8 \, {\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} a b d^{3}}{297 \, c^{5}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} \arcsin\left(c x\right)}{1617 \, c^{5}} + \frac{5487704 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{3} x}{4622396625 \, c^{4}} - \frac{16 \, {\left(c^{2} x^{2} - 1\right)} a b d^{3} x \arcsin\left(c x\right)}{1155 \, c^{4}} + \frac{16 \, b^{2} d^{3} x \arcsin\left(c x\right)^{2}}{1155 \, c^{4}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} a b d^{3}}{1617 \, c^{5}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} \arcsin\left(c x\right)}{1925 \, c^{5}} - \frac{606416 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{3} x}{13867189875 \, c^{4}} + \frac{32 \, a b d^{3} x \arcsin\left(c x\right)}{1155 \, c^{4}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b d^{3}}{1925 \, c^{5}} + \frac{16 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d^{3} \arcsin\left(c x\right)}{3465 \, c^{5}} - \frac{382986368 \, b^{2} d^{3} x}{13867189875 \, c^{4}} + \frac{16 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d^{3}}{3465 \, c^{5}} + \frac{32 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} \arcsin\left(c x\right)}{1155 \, c^{5}} + \frac{32 \, \sqrt{-c^{2} x^{2} + 1} a b d^{3}}{1155 \, c^{5}}"," ",0,"-1/11*a^2*c^6*d^3*x^11 + 1/3*a^2*c^4*d^3*x^9 - 3/7*a^2*c^2*d^3*x^7 + 1/5*a^2*d^3*x^5 - 1/11*(c^2*x^2 - 1)^5*b^2*d^3*x*arcsin(c*x)^2/c^4 - 2/11*(c^2*x^2 - 1)^5*a*b*d^3*x*arcsin(c*x)/c^4 - 4/33*(c^2*x^2 - 1)^4*b^2*d^3*x*arcsin(c*x)^2/c^4 + 2/1331*(c^2*x^2 - 1)^5*b^2*d^3*x/c^4 - 8/33*(c^2*x^2 - 1)^4*a*b*d^3*x*arcsin(c*x)/c^4 - 1/231*(c^2*x^2 - 1)^3*b^2*d^3*x*arcsin(c*x)^2/c^4 - 2/121*(c^2*x^2 - 1)^5*sqrt(-c^2*x^2 + 1)*b^2*d^3*arcsin(c*x)/c^5 + 428/323433*(c^2*x^2 - 1)^4*b^2*d^3*x/c^4 - 2/231*(c^2*x^2 - 1)^3*a*b*d^3*x*arcsin(c*x)/c^4 + 2/385*(c^2*x^2 - 1)^2*b^2*d^3*x*arcsin(c*x)^2/c^4 - 2/121*(c^2*x^2 - 1)^5*sqrt(-c^2*x^2 + 1)*a*b*d^3/c^5 - 8/297*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*b^2*d^3*arcsin(c*x)/c^5 - 148174/110937519*(c^2*x^2 - 1)^3*b^2*d^3*x/c^4 + 4/385*(c^2*x^2 - 1)^2*a*b*d^3*x*arcsin(c*x)/c^4 - 8/1155*(c^2*x^2 - 1)*b^2*d^3*x*arcsin(c*x)^2/c^4 - 8/297*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*a*b*d^3/c^5 - 2/1617*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b^2*d^3*arcsin(c*x)/c^5 + 5487704/4622396625*(c^2*x^2 - 1)^2*b^2*d^3*x/c^4 - 16/1155*(c^2*x^2 - 1)*a*b*d^3*x*arcsin(c*x)/c^4 + 16/1155*b^2*d^3*x*arcsin(c*x)^2/c^4 - 2/1617*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*a*b*d^3/c^5 + 4/1925*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*d^3*arcsin(c*x)/c^5 - 606416/13867189875*(c^2*x^2 - 1)*b^2*d^3*x/c^4 + 32/1155*a*b*d^3*x*arcsin(c*x)/c^4 + 4/1925*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*d^3/c^5 + 16/3465*(-c^2*x^2 + 1)^(3/2)*b^2*d^3*arcsin(c*x)/c^5 - 382986368/13867189875*b^2*d^3*x/c^4 + 16/3465*(-c^2*x^2 + 1)^(3/2)*a*b*d^3/c^5 + 32/1155*sqrt(-c^2*x^2 + 1)*b^2*d^3*arcsin(c*x)/c^5 + 32/1155*sqrt(-c^2*x^2 + 1)*a*b*d^3/c^5","B",0
175,1,631,0,0.613446," ","integrate(x^3*(-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{1}{10} \, a^{2} c^{6} d^{3} x^{10} + \frac{3}{8} \, a^{2} c^{4} d^{3} x^{8} - \frac{1}{2} \, a^{2} c^{2} d^{3} x^{6} + \frac{1}{4} \, a^{2} d^{3} x^{4} - \frac{{\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} x \arcsin\left(c x\right)}{50 \, c^{3}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{5} b^{2} d^{3} \arcsin\left(c x\right)^{2}}{10 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} a b d^{3} x}{50 \, c^{3}} - \frac{7 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} x \arcsin\left(c x\right)}{800 \, c^{3}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{5} a b d^{3} \arcsin\left(c x\right)}{5 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b^{2} d^{3} \arcsin\left(c x\right)^{2}}{8 \, c^{4}} - \frac{7 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} a b d^{3} x}{800 \, c^{3}} + \frac{49 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} x \arcsin\left(c x\right)}{4800 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{5} b^{2} d^{3}}{500 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{4} a b d^{3} \arcsin\left(c x\right)}{4 \, c^{4}} + \frac{49 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b d^{3} x}{4800 \, c^{3}} + \frac{49 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d^{3} x \arcsin\left(c x\right)}{3840 \, c^{3}} + \frac{7 \, {\left(c^{2} x^{2} - 1\right)}^{4} b^{2} d^{3}}{6400 \, c^{4}} + \frac{49 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d^{3} x}{3840 \, c^{3}} + \frac{49 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} x \arcsin\left(c x\right)}{2560 \, c^{3}} - \frac{49 \, {\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{3}}{28800 \, c^{4}} + \frac{49 \, \sqrt{-c^{2} x^{2} + 1} a b d^{3} x}{2560 \, c^{3}} + \frac{49 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{3}}{15360 \, c^{4}} + \frac{49 \, b^{2} d^{3} \arcsin\left(c x\right)^{2}}{5120 \, c^{4}} - \frac{49 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{3}}{5120 \, c^{4}} + \frac{49 \, a b d^{3} \arcsin\left(c x\right)}{2560 \, c^{4}} - \frac{232981 \, b^{2} d^{3}}{36864000 \, c^{4}}"," ",0,"-1/10*a^2*c^6*d^3*x^10 + 3/8*a^2*c^4*d^3*x^8 - 1/2*a^2*c^2*d^3*x^6 + 1/4*a^2*d^3*x^4 - 1/50*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*b^2*d^3*x*arcsin(c*x)/c^3 - 1/10*(c^2*x^2 - 1)^5*b^2*d^3*arcsin(c*x)^2/c^4 - 1/50*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*a*b*d^3*x/c^3 - 7/800*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b^2*d^3*x*arcsin(c*x)/c^3 - 1/5*(c^2*x^2 - 1)^5*a*b*d^3*arcsin(c*x)/c^4 - 1/8*(c^2*x^2 - 1)^4*b^2*d^3*arcsin(c*x)^2/c^4 - 7/800*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*a*b*d^3*x/c^3 + 49/4800*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*d^3*x*arcsin(c*x)/c^3 + 1/500*(c^2*x^2 - 1)^5*b^2*d^3/c^4 - 1/4*(c^2*x^2 - 1)^4*a*b*d^3*arcsin(c*x)/c^4 + 49/4800*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*d^3*x/c^3 + 49/3840*(-c^2*x^2 + 1)^(3/2)*b^2*d^3*x*arcsin(c*x)/c^3 + 7/6400*(c^2*x^2 - 1)^4*b^2*d^3/c^4 + 49/3840*(-c^2*x^2 + 1)^(3/2)*a*b*d^3*x/c^3 + 49/2560*sqrt(-c^2*x^2 + 1)*b^2*d^3*x*arcsin(c*x)/c^3 - 49/28800*(c^2*x^2 - 1)^3*b^2*d^3/c^4 + 49/2560*sqrt(-c^2*x^2 + 1)*a*b*d^3*x/c^3 + 49/15360*(c^2*x^2 - 1)^2*b^2*d^3/c^4 + 49/5120*b^2*d^3*arcsin(c*x)^2/c^4 - 49/5120*(c^2*x^2 - 1)*b^2*d^3/c^4 + 49/2560*a*b*d^3*arcsin(c*x)/c^4 - 232981/36864000*b^2*d^3/c^4","A",0
176,1,716,0,0.533799," ","integrate(x^2*(-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{1}{9} \, a^{2} c^{6} d^{3} x^{9} + \frac{3}{7} \, a^{2} c^{4} d^{3} x^{7} - \frac{3}{5} \, a^{2} c^{2} d^{3} x^{5} - \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b^{2} d^{3} x \arcsin\left(c x\right)^{2}}{9 \, c^{2}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{4} a b d^{3} x \arcsin\left(c x\right)}{9 \, c^{2}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{3} x \arcsin\left(c x\right)^{2}}{63 \, c^{2}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{4} b^{2} d^{3} x}{729 \, c^{2}} + \frac{1}{3} \, a^{2} d^{3} x^{3} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} a b d^{3} x \arcsin\left(c x\right)}{63 \, c^{2}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{3} x \arcsin\left(c x\right)^{2}}{105 \, c^{2}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} \arcsin\left(c x\right)}{81 \, c^{3}} - \frac{622 \, {\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{3} x}{250047 \, c^{2}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{2} a b d^{3} x \arcsin\left(c x\right)}{105 \, c^{2}} - \frac{8 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{3} x \arcsin\left(c x\right)^{2}}{315 \, c^{2}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} a b d^{3}}{81 \, c^{3}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} \arcsin\left(c x\right)}{441 \, c^{3}} + \frac{15224 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{3} x}{10418625 \, c^{2}} - \frac{16 \, {\left(c^{2} x^{2} - 1\right)} a b d^{3} x \arcsin\left(c x\right)}{315 \, c^{2}} + \frac{16 \, b^{2} d^{3} x \arcsin\left(c x\right)^{2}}{315 \, c^{2}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} a b d^{3}}{441 \, c^{3}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} \arcsin\left(c x\right)}{525 \, c^{3}} + \frac{115504 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{3} x}{31255875 \, c^{2}} + \frac{32 \, a b d^{3} x \arcsin\left(c x\right)}{315 \, c^{2}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b d^{3}}{525 \, c^{3}} + \frac{16 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d^{3} \arcsin\left(c x\right)}{945 \, c^{3}} - \frac{3406208 \, b^{2} d^{3} x}{31255875 \, c^{2}} + \frac{16 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d^{3}}{945 \, c^{3}} + \frac{32 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} \arcsin\left(c x\right)}{315 \, c^{3}} + \frac{32 \, \sqrt{-c^{2} x^{2} + 1} a b d^{3}}{315 \, c^{3}}"," ",0,"-1/9*a^2*c^6*d^3*x^9 + 3/7*a^2*c^4*d^3*x^7 - 3/5*a^2*c^2*d^3*x^5 - 1/9*(c^2*x^2 - 1)^4*b^2*d^3*x*arcsin(c*x)^2/c^2 - 2/9*(c^2*x^2 - 1)^4*a*b*d^3*x*arcsin(c*x)/c^2 - 1/63*(c^2*x^2 - 1)^3*b^2*d^3*x*arcsin(c*x)^2/c^2 + 2/729*(c^2*x^2 - 1)^4*b^2*d^3*x/c^2 + 1/3*a^2*d^3*x^3 - 2/63*(c^2*x^2 - 1)^3*a*b*d^3*x*arcsin(c*x)/c^2 + 2/105*(c^2*x^2 - 1)^2*b^2*d^3*x*arcsin(c*x)^2/c^2 - 2/81*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*b^2*d^3*arcsin(c*x)/c^3 - 622/250047*(c^2*x^2 - 1)^3*b^2*d^3*x/c^2 + 4/105*(c^2*x^2 - 1)^2*a*b*d^3*x*arcsin(c*x)/c^2 - 8/315*(c^2*x^2 - 1)*b^2*d^3*x*arcsin(c*x)^2/c^2 - 2/81*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*a*b*d^3/c^3 - 2/441*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b^2*d^3*arcsin(c*x)/c^3 + 15224/10418625*(c^2*x^2 - 1)^2*b^2*d^3*x/c^2 - 16/315*(c^2*x^2 - 1)*a*b*d^3*x*arcsin(c*x)/c^2 + 16/315*b^2*d^3*x*arcsin(c*x)^2/c^2 - 2/441*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*a*b*d^3/c^3 + 4/525*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*d^3*arcsin(c*x)/c^3 + 115504/31255875*(c^2*x^2 - 1)*b^2*d^3*x/c^2 + 32/315*a*b*d^3*x*arcsin(c*x)/c^2 + 4/525*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*d^3/c^3 + 16/945*(-c^2*x^2 + 1)^(3/2)*b^2*d^3*arcsin(c*x)/c^3 - 3406208/31255875*b^2*d^3*x/c^2 + 16/945*(-c^2*x^2 + 1)^(3/2)*a*b*d^3/c^3 + 32/315*sqrt(-c^2*x^2 + 1)*b^2*d^3*arcsin(c*x)/c^3 + 32/315*sqrt(-c^2*x^2 + 1)*a*b*d^3/c^3","B",0
177,1,492,0,1.477766," ","integrate(x*(-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{1}{8} \, a^{2} c^{6} d^{3} x^{8} + \frac{1}{2} \, a^{2} c^{4} d^{3} x^{6} - \frac{3}{4} \, a^{2} c^{2} d^{3} x^{4} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} x \arcsin\left(c x\right)}{32 \, c} - \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b^{2} d^{3} \arcsin\left(c x\right)^{2}}{8 \, c^{2}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} a b d^{3} x}{32 \, c} + \frac{7 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} x \arcsin\left(c x\right)}{192 \, c} - \frac{{\left(c^{2} x^{2} - 1\right)}^{4} a b d^{3} \arcsin\left(c x\right)}{4 \, c^{2}} + \frac{7 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b d^{3} x}{192 \, c} + \frac{35 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d^{3} x \arcsin\left(c x\right)}{768 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b^{2} d^{3}}{256 \, c^{2}} + \frac{35 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d^{3} x}{768 \, c} + \frac{35 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} x \arcsin\left(c x\right)}{512 \, c} - \frac{7 \, {\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{3}}{1152 \, c^{2}} + \frac{35 \, \sqrt{-c^{2} x^{2} + 1} a b d^{3} x}{512 \, c} + \frac{35 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{3}}{3072 \, c^{2}} + \frac{35 \, b^{2} d^{3} \arcsin\left(c x\right)^{2}}{1024 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)} a^{2} d^{3}}{2 \, c^{2}} - \frac{35 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{3}}{1024 \, c^{2}} + \frac{35 \, a b d^{3} \arcsin\left(c x\right)}{512 \, c^{2}} - \frac{7175 \, b^{2} d^{3}}{294912 \, c^{2}}"," ",0,"-1/8*a^2*c^6*d^3*x^8 + 1/2*a^2*c^4*d^3*x^6 - 3/4*a^2*c^2*d^3*x^4 - 1/32*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b^2*d^3*x*arcsin(c*x)/c - 1/8*(c^2*x^2 - 1)^4*b^2*d^3*arcsin(c*x)^2/c^2 - 1/32*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*a*b*d^3*x/c + 7/192*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*d^3*x*arcsin(c*x)/c - 1/4*(c^2*x^2 - 1)^4*a*b*d^3*arcsin(c*x)/c^2 + 7/192*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*d^3*x/c + 35/768*(-c^2*x^2 + 1)^(3/2)*b^2*d^3*x*arcsin(c*x)/c + 1/256*(c^2*x^2 - 1)^4*b^2*d^3/c^2 + 35/768*(-c^2*x^2 + 1)^(3/2)*a*b*d^3*x/c + 35/512*sqrt(-c^2*x^2 + 1)*b^2*d^3*x*arcsin(c*x)/c - 7/1152*(c^2*x^2 - 1)^3*b^2*d^3/c^2 + 35/512*sqrt(-c^2*x^2 + 1)*a*b*d^3*x/c + 35/3072*(c^2*x^2 - 1)^2*b^2*d^3/c^2 + 35/1024*b^2*d^3*arcsin(c*x)^2/c^2 + 1/2*(c^2*x^2 - 1)*a^2*d^3/c^2 - 35/1024*(c^2*x^2 - 1)*b^2*d^3/c^2 + 35/512*a*b*d^3*arcsin(c*x)/c^2 - 7175/294912*b^2*d^3/c^2","B",0
178,1,528,0,0.610267," ","integrate((-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{1}{7} \, a^{2} c^{6} d^{3} x^{7} + \frac{3}{5} \, a^{2} c^{4} d^{3} x^{5} - \frac{1}{7} \, {\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{3} x \arcsin\left(c x\right)^{2} - a^{2} c^{2} d^{3} x^{3} - \frac{2}{7} \, {\left(c^{2} x^{2} - 1\right)}^{3} a b d^{3} x \arcsin\left(c x\right) + \frac{6}{35} \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{3} x \arcsin\left(c x\right)^{2} + \frac{2}{343} \, {\left(c^{2} x^{2} - 1\right)}^{3} b^{2} d^{3} x + \frac{12}{35} \, {\left(c^{2} x^{2} - 1\right)}^{2} a b d^{3} x \arcsin\left(c x\right) - \frac{8}{35} \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{3} x \arcsin\left(c x\right)^{2} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} \arcsin\left(c x\right)}{49 \, c} - \frac{888}{42875} \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d^{3} x - \frac{16}{35} \, {\left(c^{2} x^{2} - 1\right)} a b d^{3} x \arcsin\left(c x\right) + \frac{16}{35} \, b^{2} d^{3} x \arcsin\left(c x\right)^{2} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} a b d^{3}}{49 \, c} + \frac{12 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} \arcsin\left(c x\right)}{175 \, c} + \frac{30256}{385875} \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{3} x + \frac{32}{35} \, a b d^{3} x \arcsin\left(c x\right) + \frac{12 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b d^{3}}{175 \, c} + \frac{16 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d^{3} \arcsin\left(c x\right)}{105 \, c} + a^{2} d^{3} x - \frac{413312}{385875} \, b^{2} d^{3} x + \frac{16 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d^{3}}{105 \, c} + \frac{32 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} \arcsin\left(c x\right)}{35 \, c} + \frac{32 \, \sqrt{-c^{2} x^{2} + 1} a b d^{3}}{35 \, c}"," ",0,"-1/7*a^2*c^6*d^3*x^7 + 3/5*a^2*c^4*d^3*x^5 - 1/7*(c^2*x^2 - 1)^3*b^2*d^3*x*arcsin(c*x)^2 - a^2*c^2*d^3*x^3 - 2/7*(c^2*x^2 - 1)^3*a*b*d^3*x*arcsin(c*x) + 6/35*(c^2*x^2 - 1)^2*b^2*d^3*x*arcsin(c*x)^2 + 2/343*(c^2*x^2 - 1)^3*b^2*d^3*x + 12/35*(c^2*x^2 - 1)^2*a*b*d^3*x*arcsin(c*x) - 8/35*(c^2*x^2 - 1)*b^2*d^3*x*arcsin(c*x)^2 - 2/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b^2*d^3*arcsin(c*x)/c - 888/42875*(c^2*x^2 - 1)^2*b^2*d^3*x - 16/35*(c^2*x^2 - 1)*a*b*d^3*x*arcsin(c*x) + 16/35*b^2*d^3*x*arcsin(c*x)^2 - 2/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*a*b*d^3/c + 12/175*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*d^3*arcsin(c*x)/c + 30256/385875*(c^2*x^2 - 1)*b^2*d^3*x + 32/35*a*b*d^3*x*arcsin(c*x) + 12/175*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*d^3/c + 16/105*(-c^2*x^2 + 1)^(3/2)*b^2*d^3*arcsin(c*x)/c + a^2*d^3*x - 413312/385875*b^2*d^3*x + 16/105*(-c^2*x^2 + 1)^(3/2)*a*b*d^3/c + 32/35*sqrt(-c^2*x^2 + 1)*b^2*d^3*arcsin(c*x)/c + 32/35*sqrt(-c^2*x^2 + 1)*a*b*d^3/c","B",0
179,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))^2/x,x, algorithm=""giac"")","\int -\frac{{\left(c^{2} d x^{2} - d\right)}^{3} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)^3*(b*arcsin(c*x) + a)^2/x, x)","F",0
180,-1,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))^2/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
181,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))^2/x^3,x, algorithm=""giac"")","\int -\frac{{\left(c^{2} d x^{2} - d\right)}^{3} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{x^{3}}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)^3*(b*arcsin(c*x) + a)^2/x^3, x)","F",0
182,-1,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))^2/x^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
183,-1,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,0,0,0,0.000000," ","integrate(x^3*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{3}}{c^{2} d x^{2} - d}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)^2*x^3/(c^2*d*x^2 - d), x)","F",0
185,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}}{c^{2} d x^{2} - d}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)^2*x^2/(c^2*d*x^2 - d), x)","F",0
186,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x}{c^{2} d x^{2} - d}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)^2*x/(c^2*d*x^2 - d), x)","F",0
187,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{c^{2} d x^{2} - d}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)^2/(c^2*d*x^2 - d), x)","F",0
188,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c^{2} d x^{2} - d\right)} x}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)^2/((c^2*d*x^2 - d)*x), x)","F",0
189,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^2/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c^{2} d x^{2} - d\right)} x^{2}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)^2/((c^2*d*x^2 - d)*x^2), x)","F",0
190,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^3/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c^{2} d x^{2} - d\right)} x^{3}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)^2/((c^2*d*x^2 - d)*x^3), x)","F",0
191,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^4/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c^{2} d x^{2} - d\right)} x^{4}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)^2/((c^2*d*x^2 - d)*x^4), x)","F",0
192,0,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{4}}{{\left(c^{2} d x^{2} - d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x^4/(c^2*d*x^2 - d)^2, x)","F",0
193,0,0,0,0.000000," ","integrate(x^3*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{3}}{{\left(c^{2} d x^{2} - d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x^3/(c^2*d*x^2 - d)^2, x)","F",0
194,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}}{{\left(c^{2} d x^{2} - d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x^2/(c^2*d*x^2 - d)^2, x)","F",0
195,1,204,0,0.733567," ","integrate(x*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","-\frac{b^{2} x^{2} \arcsin\left(c x\right)^{2}}{2 \, {\left(c^{2} x^{2} - 1\right)} d^{2}} - \frac{a b x^{2} \arcsin\left(c x\right)}{{\left(c^{2} x^{2} - 1\right)} d^{2}} - \frac{a^{2} x^{2}}{2 \, {\left(c^{2} x^{2} - 1\right)} d^{2}} - \frac{b^{2} x \arcsin\left(c x\right)}{\sqrt{-c^{2} x^{2} + 1} c d^{2}} + \frac{b^{2} \arcsin\left(c x\right)^{2}}{2 \, c^{2} d^{2}} - \frac{a b x}{\sqrt{-c^{2} x^{2} + 1} c d^{2}} + \frac{a b \arcsin\left(c x\right)}{c^{2} d^{2}} - \frac{b^{2} \log\left(2\right)}{c^{2} d^{2}} - \frac{b^{2} \log\left({\left| -c^{2} x^{2} + 1 \right|}\right)}{2 \, c^{2} d^{2}} + \frac{a^{2}}{2 \, c^{2} d^{2}}"," ",0,"-1/2*b^2*x^2*arcsin(c*x)^2/((c^2*x^2 - 1)*d^2) - a*b*x^2*arcsin(c*x)/((c^2*x^2 - 1)*d^2) - 1/2*a^2*x^2/((c^2*x^2 - 1)*d^2) - b^2*x*arcsin(c*x)/(sqrt(-c^2*x^2 + 1)*c*d^2) + 1/2*b^2*arcsin(c*x)^2/(c^2*d^2) - a*b*x/(sqrt(-c^2*x^2 + 1)*c*d^2) + a*b*arcsin(c*x)/(c^2*d^2) - b^2*log(2)/(c^2*d^2) - 1/2*b^2*log(abs(-c^2*x^2 + 1))/(c^2*d^2) + 1/2*a^2/(c^2*d^2)","B",0
196,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
197,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c^{2} d x^{2} - d\right)}^{2} x}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((c^2*d*x^2 - d)^2*x), x)","F",0
198,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^2/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c^{2} d x^{2} - d\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((c^2*d*x^2 - d)^2*x^2), x)","F",0
199,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^3/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c^{2} d x^{2} - d\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((c^2*d*x^2 - d)^2*x^3), x)","F",0
200,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^4/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
201,-1,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
202,1,318,0,1.030824," ","integrate(x^3*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\frac{b^{2} x^{4} \arcsin\left(c x\right)^{2}}{4 \, {\left(c^{2} x^{2} - 1\right)}^{2} d^{3}} + \frac{a b x^{4} \arcsin\left(c x\right)}{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} d^{3}} + \frac{a^{2} x^{4}}{4 \, {\left(c^{2} x^{2} - 1\right)}^{2} d^{3}} + \frac{b^{2} x^{3} \arcsin\left(c x\right)}{6 \, {\left(c^{2} x^{2} - 1\right)} \sqrt{-c^{2} x^{2} + 1} c d^{3}} + \frac{a b x^{3}}{6 \, {\left(c^{2} x^{2} - 1\right)} \sqrt{-c^{2} x^{2} + 1} c d^{3}} - \frac{b^{2} x^{2}}{12 \, {\left(c^{2} x^{2} - 1\right)} c^{2} d^{3}} + \frac{b^{2} x \arcsin\left(c x\right)}{2 \, \sqrt{-c^{2} x^{2} + 1} c^{3} d^{3}} - \frac{b^{2} \arcsin\left(c x\right)^{2}}{4 \, c^{4} d^{3}} + \frac{a b x}{2 \, \sqrt{-c^{2} x^{2} + 1} c^{3} d^{3}} - \frac{a b \arcsin\left(c x\right)}{2 \, c^{4} d^{3}} + \frac{2 \, b^{2} \log\left(2\right)}{3 \, c^{4} d^{3}} + \frac{b^{2} \log\left({\left| -c^{2} x^{2} + 1 \right|}\right)}{3 \, c^{4} d^{3}} - \frac{a^{2}}{4 \, c^{4} d^{3}} + \frac{b^{2}}{12 \, c^{4} d^{3}}"," ",0,"1/4*b^2*x^4*arcsin(c*x)^2/((c^2*x^2 - 1)^2*d^3) + 1/2*a*b*x^4*arcsin(c*x)/((c^2*x^2 - 1)^2*d^3) + 1/4*a^2*x^4/((c^2*x^2 - 1)^2*d^3) + 1/6*b^2*x^3*arcsin(c*x)/((c^2*x^2 - 1)*sqrt(-c^2*x^2 + 1)*c*d^3) + 1/6*a*b*x^3/((c^2*x^2 - 1)*sqrt(-c^2*x^2 + 1)*c*d^3) - 1/12*b^2*x^2/((c^2*x^2 - 1)*c^2*d^3) + 1/2*b^2*x*arcsin(c*x)/(sqrt(-c^2*x^2 + 1)*c^3*d^3) - 1/4*b^2*arcsin(c*x)^2/(c^4*d^3) + 1/2*a*b*x/(sqrt(-c^2*x^2 + 1)*c^3*d^3) - 1/2*a*b*arcsin(c*x)/(c^4*d^3) + 2/3*b^2*log(2)/(c^4*d^3) + 1/3*b^2*log(abs(-c^2*x^2 + 1))/(c^4*d^3) - 1/4*a^2/(c^4*d^3) + 1/12*b^2/(c^4*d^3)","B",0
203,-1,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
204,1,395,0,1.260785," ","integrate(x*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\frac{b^{2} c^{2} x^{4} \arcsin\left(c x\right)^{2}}{4 \, {\left(c^{2} x^{2} - 1\right)}^{2} d^{3}} + \frac{a b c^{2} x^{4} \arcsin\left(c x\right)}{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} d^{3}} + \frac{a^{2} c^{2} x^{4}}{4 \, {\left(c^{2} x^{2} - 1\right)}^{2} d^{3}} + \frac{b^{2} c x^{3} \arcsin\left(c x\right)}{6 \, {\left(c^{2} x^{2} - 1\right)} \sqrt{-c^{2} x^{2} + 1} d^{3}} - \frac{b^{2} x^{2} \arcsin\left(c x\right)^{2}}{2 \, {\left(c^{2} x^{2} - 1\right)} d^{3}} + \frac{a b c x^{3}}{6 \, {\left(c^{2} x^{2} - 1\right)} \sqrt{-c^{2} x^{2} + 1} d^{3}} - \frac{a b x^{2} \arcsin\left(c x\right)}{{\left(c^{2} x^{2} - 1\right)} d^{3}} - \frac{a^{2} x^{2}}{2 \, {\left(c^{2} x^{2} - 1\right)} d^{3}} - \frac{b^{2} x^{2}}{12 \, {\left(c^{2} x^{2} - 1\right)} d^{3}} - \frac{b^{2} x \arcsin\left(c x\right)}{2 \, \sqrt{-c^{2} x^{2} + 1} c d^{3}} + \frac{b^{2} \arcsin\left(c x\right)^{2}}{4 \, c^{2} d^{3}} - \frac{a b x}{2 \, \sqrt{-c^{2} x^{2} + 1} c d^{3}} + \frac{a b \arcsin\left(c x\right)}{2 \, c^{2} d^{3}} - \frac{b^{2} \log\left(2\right)}{3 \, c^{2} d^{3}} - \frac{b^{2} \log\left({\left| -c^{2} x^{2} + 1 \right|}\right)}{6 \, c^{2} d^{3}} + \frac{a^{2}}{4 \, c^{2} d^{3}} + \frac{b^{2}}{12 \, c^{2} d^{3}}"," ",0,"1/4*b^2*c^2*x^4*arcsin(c*x)^2/((c^2*x^2 - 1)^2*d^3) + 1/2*a*b*c^2*x^4*arcsin(c*x)/((c^2*x^2 - 1)^2*d^3) + 1/4*a^2*c^2*x^4/((c^2*x^2 - 1)^2*d^3) + 1/6*b^2*c*x^3*arcsin(c*x)/((c^2*x^2 - 1)*sqrt(-c^2*x^2 + 1)*d^3) - 1/2*b^2*x^2*arcsin(c*x)^2/((c^2*x^2 - 1)*d^3) + 1/6*a*b*c*x^3/((c^2*x^2 - 1)*sqrt(-c^2*x^2 + 1)*d^3) - a*b*x^2*arcsin(c*x)/((c^2*x^2 - 1)*d^3) - 1/2*a^2*x^2/((c^2*x^2 - 1)*d^3) - 1/12*b^2*x^2/((c^2*x^2 - 1)*d^3) - 1/2*b^2*x*arcsin(c*x)/(sqrt(-c^2*x^2 + 1)*c*d^3) + 1/4*b^2*arcsin(c*x)^2/(c^2*d^3) - 1/2*a*b*x/(sqrt(-c^2*x^2 + 1)*c*d^3) + 1/2*a*b*arcsin(c*x)/(c^2*d^3) - 1/3*b^2*log(2)/(c^2*d^3) - 1/6*b^2*log(abs(-c^2*x^2 + 1))/(c^2*d^3) + 1/4*a^2/(c^2*d^3) + 1/12*b^2/(c^2*d^3)","B",0
205,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c^{2} d x^{2} - d\right)}^{3}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)^2/(c^2*d*x^2 - d)^3, x)","F",0
206,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c^{2} d x^{2} - d\right)}^{3} x}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)^2/((c^2*d*x^2 - d)^3*x), x)","F",0
207,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^2/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c^{2} d x^{2} - d\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)^2/((c^2*d*x^2 - d)^3*x^2), x)","F",0
208,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^3/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c^{2} d x^{2} - d\right)}^{3} x^{3}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)^2/((c^2*d*x^2 - d)^3*x^3), x)","F",0
209,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^4/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
210,-2,0,0,0.000000," ","integrate(x^3*(-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
211,0,0,0,0.000000," ","integrate(x^2*(-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \sqrt{-c^{2} d x^{2} + d} {\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate(sqrt(-c^2*d*x^2 + d)*(b*arcsin(c*x) + a)^2*x^2, x)","F",0
212,-2,0,0,0.000000," ","integrate(x*(-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
213,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
214,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^2/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
215,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^2/x^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT: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((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^2/x^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
217,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^2/x^4,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
218,-2,0,0,0.000000," ","integrate(x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
219,0,0,0,0.000000," ","integrate(x^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int {\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate((-c^2*d*x^2 + d)^(3/2)*(b*arcsin(c*x) + a)^2*x^2, x)","F",0
220,-2,0,0,0.000000," ","integrate(x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
221,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
222,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
223,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2/x^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
224,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2/x^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
225,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2/x^4,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
226,-2,0,0,0.000000," ","integrate(x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
227,0,0,0,0.000000," ","integrate(x^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int {\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate((-c^2*d*x^2 + d)^(5/2)*(b*arcsin(c*x) + a)^2*x^2, x)","F",0
228,-2,0,0,0.000000," ","integrate(x*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
229,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
230,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
231,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2/x^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
232,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2/x^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
233,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2/x^4,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
234,-2,0,0,0.000000," ","integrate(x^5*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
235,0,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{4}}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x^4/sqrt(-c^2*d*x^2 + d), x)","F",0
236,-2,0,0,0.000000," ","integrate(x^3*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
237,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x^2/sqrt(-c^2*d*x^2 + d), x)","F",0
238,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x/sqrt(-c^2*d*x^2 + d), x)","F",0
239,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/sqrt(-c^2*d*x^2 + d), x)","F",0
240,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x/(-c^2*d*x^2+d)^(1/2),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
241,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^2/(-c^2*d*x^2+d)^(1/2),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
242,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^3/(-c^2*d*x^2+d)^(1/2),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
243,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^4/(-c^2*d*x^2+d)^(1/2),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
244,-2,0,0,0.000000," ","integrate(x^5*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
245,-2,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^4-1)]index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
246,-2,0,0,0.000000," ","integrate(x^3*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
247,-2,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^4-1)]index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
248,-2,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^4-1)]index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
249,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^4-1)]index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
250,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((-c^2*d*x^2 + d)^(3/2)*x), x)","F",0
251,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((-c^2*d*x^2 + d)^(3/2)*x^2), x)","F",0
252,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^3/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((-c^2*d*x^2 + d)^(3/2)*x^3), x)","F",0
253,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^4/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((-c^2*d*x^2 + d)^(3/2)*x^4), x)","F",0
254,-2,0,0,0.000000," ","integrate(x^5*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
255,0,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{4}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x^4/(-c^2*d*x^2 + d)^(5/2), x)","F",0
256,-2,0,0,0.000000," ","integrate(x^3*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
257,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x^2/(-c^2*d*x^2 + d)^(5/2), x)","F",0
258,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x/(-c^2*d*x^2 + d)^(5/2), x)","F",0
259,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/(-c^2*d*x^2 + d)^(5/2), x)","F",0
260,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}} x}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((-c^2*d*x^2 + d)^(5/2)*x), x)","F",0
261,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}} x^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((-c^2*d*x^2 + d)^(5/2)*x^2), x)","F",0
262,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^3/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}} x^{3}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((-c^2*d*x^2 + d)^(5/2)*x^3), x)","F",0
263,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^4/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}} x^{4}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((-c^2*d*x^2 + d)^(5/2)*x^4), x)","F",0
264,1,143,0,0.600701," ","integrate(x^4*arcsin(a*x)^2/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x \arcsin\left(a x\right)^{2}}{4 \, a^{4}} - \frac{5 \, \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)^{2}}{8 \, a^{4}} - \frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x}{32 \, a^{4}} + \frac{{\left(a^{2} x^{2} - 1\right)}^{2} \arcsin\left(a x\right)}{8 \, a^{5}} + \frac{\arcsin\left(a x\right)^{3}}{8 \, a^{5}} + \frac{17 \, \sqrt{-a^{2} x^{2} + 1} x}{64 \, a^{4}} + \frac{5 \, {\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)}{8 \, a^{5}} + \frac{17 \, \arcsin\left(a x\right)}{64 \, a^{5}}"," ",0,"1/4*(-a^2*x^2 + 1)^(3/2)*x*arcsin(a*x)^2/a^4 - 5/8*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)^2/a^4 - 1/32*(-a^2*x^2 + 1)^(3/2)*x/a^4 + 1/8*(a^2*x^2 - 1)^2*arcsin(a*x)/a^5 + 1/8*arcsin(a*x)^3/a^5 + 17/64*sqrt(-a^2*x^2 + 1)*x/a^4 + 5/8*(a^2*x^2 - 1)*arcsin(a*x)/a^5 + 17/64*arcsin(a*x)/a^5","A",0
265,-2,0,0,0.000000," ","integrate(x^3*arcsin(a*x)^2/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
266,1,81,0,0.471365," ","integrate(x^2*arcsin(a*x)^2/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)^{2}}{2 \, a^{2}} + \frac{\arcsin\left(a x\right)^{3}}{6 \, a^{3}} + \frac{\sqrt{-a^{2} x^{2} + 1} x}{4 \, a^{2}} + \frac{{\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)}{2 \, a^{3}} + \frac{\arcsin\left(a x\right)}{4 \, a^{3}}"," ",0,"-1/2*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)^2/a^2 + 1/6*arcsin(a*x)^3/a^3 + 1/4*sqrt(-a^2*x^2 + 1)*x/a^2 + 1/2*(a^2*x^2 - 1)*arcsin(a*x)/a^3 + 1/4*arcsin(a*x)/a^3","A",0
267,1,49,0,0.407787," ","integrate(x*arcsin(a*x)^2/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)^{2}}{a^{2}} + \frac{2 \, {\left(a x \arcsin\left(a x\right) + \sqrt{-a^{2} x^{2} + 1}\right)}}{a^{2}}"," ",0,"-sqrt(-a^2*x^2 + 1)*arcsin(a*x)^2/a^2 + 2*(a*x*arcsin(a*x) + sqrt(-a^2*x^2 + 1))/a^2","A",0
268,1,11,0,0.913648," ","integrate(arcsin(a*x)^2/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{\arcsin\left(a x\right)^{3}}{3 \, a}"," ",0,"1/3*arcsin(a*x)^3/a","A",0
269,0,0,0,0.000000," ","integrate(arcsin(a*x)^2/x/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{2}}{\sqrt{-a^{2} x^{2} + 1} x}\,{d x}"," ",0,"integrate(arcsin(a*x)^2/(sqrt(-a^2*x^2 + 1)*x), x)","F",0
270,0,0,0,0.000000," ","integrate(arcsin(a*x)^2/x^2/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{2}}{\sqrt{-a^{2} x^{2} + 1} x^{2}}\,{d x}"," ",0,"integrate(arcsin(a*x)^2/(sqrt(-a^2*x^2 + 1)*x^2), x)","F",0
271,0,0,0,0.000000," ","integrate(arcsin(a*x)^2/x^3/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{2}}{\sqrt{-a^{2} x^{2} + 1} x^{3}}\,{d x}"," ",0,"integrate(arcsin(a*x)^2/(sqrt(-a^2*x^2 + 1)*x^3), x)","F",0
272,0,0,0,0.000000," ","integrate(arcsin(a*x)^2/(-a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{2}}{\sqrt{-a^{2} c x^{2} + c}}\,{d x}"," ",0,"integrate(arcsin(a*x)^2/sqrt(-a^2*c*x^2 + c), x)","F",0
273,0,0,0,0.000000," ","integrate(arcsin(a*x)^2/(-a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{2}}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(arcsin(a*x)^2/(-a^2*c*x^2 + c)^(3/2), x)","F",0
274,0,0,0,0.000000," ","integrate(arcsin(a*x)^2/(-a^2*c*x^2+c)^(5/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{2}}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(arcsin(a*x)^2/(-a^2*c*x^2 + c)^(5/2), x)","F",0
275,0,0,0,0.000000," ","integrate(arcsin(a*x)^2/(-a^2*c*x^2+c)^(7/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{2}}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(arcsin(a*x)^2/(-a^2*c*x^2 + c)^(7/2), x)","F",0
276,0,0,0,0.000000," ","integrate(x^m*(-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int -{\left(c^{2} d x^{2} - d\right)}^{3} {\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{m}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)^3*(b*arcsin(c*x) + a)^2*x^m, x)","F",0
277,0,0,0,0.000000," ","integrate(x^m*(-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int {\left(c^{2} d x^{2} - d\right)}^{2} {\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{m}\,{d x}"," ",0,"integrate((c^2*d*x^2 - d)^2*(b*arcsin(c*x) + a)^2*x^m, x)","F",0
278,0,0,0,0.000000," ","integrate(x^m*(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int -{\left(c^{2} d x^{2} - d\right)} {\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{m}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)*(b*arcsin(c*x) + a)^2*x^m, x)","F",0
279,0,0,0,0.000000," ","integrate(x^m*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d),x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{m}}{c^{2} d x^{2} - d}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)^2*x^m/(c^2*d*x^2 - d), x)","F",0
280,0,0,0,0.000000," ","integrate(x^m*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{m}}{{\left(c^{2} d x^{2} - d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x^m/(c^2*d*x^2 - d)^2, x)","F",0
281,0,0,0,0.000000," ","integrate(x^m*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^3,x, algorithm=""giac"")","\int -\frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{m}}{{\left(c^{2} d x^{2} - d\right)}^{3}}\,{d x}"," ",0,"integrate(-(b*arcsin(c*x) + a)^2*x^m/(c^2*d*x^2 - d)^3, x)","F",0
282,-2,0,0,0.000000," ","integrate(x^m*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
283,-2,0,0,0.000000," ","integrate(x^m*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
284,-2,0,0,0.000000," ","integrate(x^m*(-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
285,0,0,0,0.000000," ","integrate(x^m*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{m}}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x^m/sqrt(-c^2*d*x^2 + d), x)","F",0
286,-2,0,0,0.000000," ","integrate(x^m*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^4-1)]Evaluation time: 1.11index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
287,0,0,0,0.000000," ","integrate(x^m*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{m}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x^m/(-c^2*d*x^2 + d)^(5/2), x)","F",0
288,0,0,0,0.000000," ","integrate(x^m*arcsin(a*x)^2/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m} \arcsin\left(a x\right)^{2}}{\sqrt{-a^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate(x^m*arcsin(a*x)^2/sqrt(-a^2*x^2 + 1), x)","F",0
289,1,379,0,0.393228," ","integrate((-a^2*c*x^2+c)^3*arcsin(a*x)^3,x, algorithm=""giac"")","-\frac{1}{7} \, {\left(a^{2} x^{2} - 1\right)}^{3} c^{3} x \arcsin\left(a x\right)^{3} + \frac{6}{35} \, {\left(a^{2} x^{2} - 1\right)}^{2} c^{3} x \arcsin\left(a x\right)^{3} + \frac{6}{343} \, {\left(a^{2} x^{2} - 1\right)}^{3} c^{3} x \arcsin\left(a x\right) - \frac{8}{35} \, {\left(a^{2} x^{2} - 1\right)} c^{3} x \arcsin\left(a x\right)^{3} - \frac{3 \, {\left(a^{2} x^{2} - 1\right)}^{3} \sqrt{-a^{2} x^{2} + 1} c^{3} \arcsin\left(a x\right)^{2}}{49 \, a} - \frac{2664}{42875} \, {\left(a^{2} x^{2} - 1\right)}^{2} c^{3} x \arcsin\left(a x\right) + \frac{16}{35} \, c^{3} x \arcsin\left(a x\right)^{3} + \frac{18 \, {\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1} c^{3} \arcsin\left(a x\right)^{2}}{175 \, a} + \frac{30256}{128625} \, {\left(a^{2} x^{2} - 1\right)} c^{3} x \arcsin\left(a x\right) + \frac{6 \, {\left(a^{2} x^{2} - 1\right)}^{3} \sqrt{-a^{2} x^{2} + 1} c^{3}}{2401 \, a} + \frac{8 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} c^{3} \arcsin\left(a x\right)^{2}}{35 \, a} - \frac{413312}{128625} \, c^{3} x \arcsin\left(a x\right) - \frac{2664 \, {\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1} c^{3}}{214375 \, a} + \frac{48 \, \sqrt{-a^{2} x^{2} + 1} c^{3} \arcsin\left(a x\right)^{2}}{35 \, a} - \frac{30256 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} c^{3}}{385875 \, a} - \frac{413312 \, \sqrt{-a^{2} x^{2} + 1} c^{3}}{128625 \, a}"," ",0,"-1/7*(a^2*x^2 - 1)^3*c^3*x*arcsin(a*x)^3 + 6/35*(a^2*x^2 - 1)^2*c^3*x*arcsin(a*x)^3 + 6/343*(a^2*x^2 - 1)^3*c^3*x*arcsin(a*x) - 8/35*(a^2*x^2 - 1)*c^3*x*arcsin(a*x)^3 - 3/49*(a^2*x^2 - 1)^3*sqrt(-a^2*x^2 + 1)*c^3*arcsin(a*x)^2/a - 2664/42875*(a^2*x^2 - 1)^2*c^3*x*arcsin(a*x) + 16/35*c^3*x*arcsin(a*x)^3 + 18/175*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)*c^3*arcsin(a*x)^2/a + 30256/128625*(a^2*x^2 - 1)*c^3*x*arcsin(a*x) + 6/2401*(a^2*x^2 - 1)^3*sqrt(-a^2*x^2 + 1)*c^3/a + 8/35*(-a^2*x^2 + 1)^(3/2)*c^3*arcsin(a*x)^2/a - 413312/128625*c^3*x*arcsin(a*x) - 2664/214375*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)*c^3/a + 48/35*sqrt(-a^2*x^2 + 1)*c^3*arcsin(a*x)^2/a - 30256/385875*(-a^2*x^2 + 1)^(3/2)*c^3/a - 413312/128625*sqrt(-a^2*x^2 + 1)*c^3/a","A",0
290,1,267,0,0.828511," ","integrate((-a^2*c*x^2+c)^2*arcsin(a*x)^3,x, algorithm=""giac"")","\frac{1}{5} \, {\left(a^{2} x^{2} - 1\right)}^{2} c^{2} x \arcsin\left(a x\right)^{3} - \frac{4}{15} \, {\left(a^{2} x^{2} - 1\right)} c^{2} x \arcsin\left(a x\right)^{3} - \frac{6}{125} \, {\left(a^{2} x^{2} - 1\right)}^{2} c^{2} x \arcsin\left(a x\right) + \frac{8}{15} \, c^{2} x \arcsin\left(a x\right)^{3} + \frac{3 \, {\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1} c^{2} \arcsin\left(a x\right)^{2}}{25 \, a} + \frac{272}{1125} \, {\left(a^{2} x^{2} - 1\right)} c^{2} x \arcsin\left(a x\right) + \frac{4 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} c^{2} \arcsin\left(a x\right)^{2}}{15 \, a} - \frac{4144}{1125} \, c^{2} x \arcsin\left(a x\right) - \frac{6 \, {\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1} c^{2}}{625 \, a} + \frac{8 \, \sqrt{-a^{2} x^{2} + 1} c^{2} \arcsin\left(a x\right)^{2}}{5 \, a} - \frac{272 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} c^{2}}{3375 \, a} - \frac{4144 \, \sqrt{-a^{2} x^{2} + 1} c^{2}}{1125 \, a}"," ",0,"1/5*(a^2*x^2 - 1)^2*c^2*x*arcsin(a*x)^3 - 4/15*(a^2*x^2 - 1)*c^2*x*arcsin(a*x)^3 - 6/125*(a^2*x^2 - 1)^2*c^2*x*arcsin(a*x) + 8/15*c^2*x*arcsin(a*x)^3 + 3/25*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)*c^2*arcsin(a*x)^2/a + 272/1125*(a^2*x^2 - 1)*c^2*x*arcsin(a*x) + 4/15*(-a^2*x^2 + 1)^(3/2)*c^2*arcsin(a*x)^2/a - 4144/1125*c^2*x*arcsin(a*x) - 6/625*(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)*c^2/a + 8/5*sqrt(-a^2*x^2 + 1)*c^2*arcsin(a*x)^2/a - 272/3375*(-a^2*x^2 + 1)^(3/2)*c^2/a - 4144/1125*sqrt(-a^2*x^2 + 1)*c^2/a","A",0
291,1,139,0,0.727091," ","integrate((-a^2*c*x^2+c)*arcsin(a*x)^3,x, algorithm=""giac"")","-\frac{1}{3} \, {\left(a^{2} x^{2} - 1\right)} c x \arcsin\left(a x\right)^{3} + \frac{2}{3} \, c x \arcsin\left(a x\right)^{3} + \frac{2}{9} \, {\left(a^{2} x^{2} - 1\right)} c x \arcsin\left(a x\right) + \frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} c \arcsin\left(a x\right)^{2}}{3 \, a} - \frac{40}{9} \, c x \arcsin\left(a x\right) + \frac{2 \, \sqrt{-a^{2} x^{2} + 1} c \arcsin\left(a x\right)^{2}}{a} - \frac{2 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} c}{27 \, a} - \frac{40 \, \sqrt{-a^{2} x^{2} + 1} c}{9 \, a}"," ",0,"-1/3*(a^2*x^2 - 1)*c*x*arcsin(a*x)^3 + 2/3*c*x*arcsin(a*x)^3 + 2/9*(a^2*x^2 - 1)*c*x*arcsin(a*x) + 1/3*(-a^2*x^2 + 1)^(3/2)*c*arcsin(a*x)^2/a - 40/9*c*x*arcsin(a*x) + 2*sqrt(-a^2*x^2 + 1)*c*arcsin(a*x)^2/a - 2/27*(-a^2*x^2 + 1)^(3/2)*c/a - 40/9*sqrt(-a^2*x^2 + 1)*c/a","A",0
292,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/(-a^2*c*x^2+c),x, algorithm=""giac"")","\int -\frac{\arcsin\left(a x\right)^{3}}{a^{2} c x^{2} - c}\,{d x}"," ",0,"integrate(-arcsin(a*x)^3/(a^2*c*x^2 - c), x)","F",0
293,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/(-a^2*c*x^2+c)^2,x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{3}}{{\left(a^{2} c x^{2} - c\right)}^{2}}\,{d x}"," ",0,"integrate(arcsin(a*x)^3/(a^2*c*x^2 - c)^2, x)","F",0
294,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/(-a^2*c*x^2+c)^3,x, algorithm=""giac"")","\int -\frac{\arcsin\left(a x\right)^{3}}{{\left(a^{2} c x^{2} - c\right)}^{3}}\,{d x}"," ",0,"integrate(-arcsin(a*x)^3/(a^2*c*x^2 - c)^3, x)","F",0
295,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(5/2)*arcsin(a*x)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
296,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
297,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(1/2)*arcsin(a*x)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
298,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/(-a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{3}}{\sqrt{-a^{2} c x^{2} + c}}\,{d x}"," ",0,"integrate(arcsin(a*x)^3/sqrt(-a^2*c*x^2 + c), x)","F",0
299,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/(-a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{3}}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(arcsin(a*x)^3/(-a^2*c*x^2 + c)^(3/2), x)","F",0
300,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/(-a^2*c*x^2+c)^(5/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{3}}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(arcsin(a*x)^3/(-a^2*c*x^2 + c)^(5/2), x)","F",0
301,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/(-a^2*c*x^2+c)^(7/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{3}}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(arcsin(a*x)^3/(-a^2*c*x^2 + c)^(7/2), x)","F",0
302,0,0,0,0.000000," ","integrate(x^m*arcsin(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m} \arcsin\left(a x\right)^{3}}{\sqrt{-a^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate(x^m*arcsin(a*x)^3/sqrt(-a^2*x^2 + 1), x)","F",0
303,1,192,0,0.560967," ","integrate(x^4*arcsin(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x \arcsin\left(a x\right)^{3}}{4 \, a^{4}} - \frac{5 \, \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)^{3}}{8 \, a^{4}} - \frac{3 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x \arcsin\left(a x\right)}{32 \, a^{4}} + \frac{3 \, {\left(a^{2} x^{2} - 1\right)}^{2} \arcsin\left(a x\right)^{2}}{16 \, a^{5}} + \frac{3 \, \arcsin\left(a x\right)^{4}}{32 \, a^{5}} + \frac{51 \, \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)}{64 \, a^{4}} + \frac{15 \, {\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)^{2}}{16 \, a^{5}} - \frac{3 \, {\left(a^{2} x^{2} - 1\right)}^{2}}{128 \, a^{5}} + \frac{51 \, \arcsin\left(a x\right)^{2}}{128 \, a^{5}} - \frac{51 \, {\left(a^{2} x^{2} - 1\right)}}{128 \, a^{5}} - \frac{195}{1024 \, a^{5}}"," ",0,"1/4*(-a^2*x^2 + 1)^(3/2)*x*arcsin(a*x)^3/a^4 - 5/8*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)^3/a^4 - 3/32*(-a^2*x^2 + 1)^(3/2)*x*arcsin(a*x)/a^4 + 3/16*(a^2*x^2 - 1)^2*arcsin(a*x)^2/a^5 + 3/32*arcsin(a*x)^4/a^5 + 51/64*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)/a^4 + 15/16*(a^2*x^2 - 1)*arcsin(a*x)^2/a^5 - 3/128*(a^2*x^2 - 1)^2/a^5 + 51/128*arcsin(a*x)^2/a^5 - 51/128*(a^2*x^2 - 1)/a^5 - 195/1024/a^5","A",0
304,-2,0,0,0.000000," ","integrate(x^3*arcsin(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
305,1,108,0,0.427883," ","integrate(x^2*arcsin(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)^{3}}{2 \, a^{2}} + \frac{\arcsin\left(a x\right)^{4}}{8 \, a^{3}} + \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)}{4 \, a^{2}} + \frac{3 \, {\left(a^{2} x^{2} - 1\right)} \arcsin\left(a x\right)^{2}}{4 \, a^{3}} + \frac{3 \, \arcsin\left(a x\right)^{2}}{8 \, a^{3}} - \frac{3 \, {\left(a^{2} x^{2} - 1\right)}}{8 \, a^{3}} - \frac{3}{16 \, a^{3}}"," ",0,"-1/2*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)^3/a^2 + 1/8*arcsin(a*x)^4/a^3 + 3/4*sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)/a^2 + 3/4*(a^2*x^2 - 1)*arcsin(a*x)^2/a^3 + 3/8*arcsin(a*x)^2/a^3 - 3/8*(a^2*x^2 - 1)/a^3 - 3/16/a^3","A",0
306,1,62,0,0.582572," ","integrate(x*arcsin(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)^{3}}{a^{2}} + \frac{3 \, {\left(x \arcsin\left(a x\right)^{2} - 2 \, x + \frac{2 \, \sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)}{a}\right)}}{a}"," ",0,"-sqrt(-a^2*x^2 + 1)*arcsin(a*x)^3/a^2 + 3*(x*arcsin(a*x)^2 - 2*x + 2*sqrt(-a^2*x^2 + 1)*arcsin(a*x)/a)/a","A",0
307,1,11,0,1.381996," ","integrate(arcsin(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{\arcsin\left(a x\right)^{4}}{4 \, a}"," ",0,"1/4*arcsin(a*x)^4/a","A",0
308,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/x/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{3}}{\sqrt{-a^{2} x^{2} + 1} x}\,{d x}"," ",0,"integrate(arcsin(a*x)^3/(sqrt(-a^2*x^2 + 1)*x), x)","F",0
309,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/x^2/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{3}}{\sqrt{-a^{2} x^{2} + 1} x^{2}}\,{d x}"," ",0,"integrate(arcsin(a*x)^3/(sqrt(-a^2*x^2 + 1)*x^2), x)","F",0
310,0,0,0,0.000000," ","integrate(arcsin(a*x)^3/x^3/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{3}}{\sqrt{-a^{2} x^{2} + 1} x^{3}}\,{d x}"," ",0,"integrate(arcsin(a*x)^3/(sqrt(-a^2*x^2 + 1)*x^3), x)","F",0
311,1,59,0,0.440375," ","integrate((-a^2*c*x^2+c)^3/arcsin(a*x),x, algorithm=""giac"")","\frac{c^{3} \operatorname{Ci}\left(7 \, \arcsin\left(a x\right)\right)}{64 \, a} + \frac{7 \, c^{3} \operatorname{Ci}\left(5 \, \arcsin\left(a x\right)\right)}{64 \, a} + \frac{21 \, c^{3} \operatorname{Ci}\left(3 \, \arcsin\left(a x\right)\right)}{64 \, a} + \frac{35 \, c^{3} \operatorname{Ci}\left(\arcsin\left(a x\right)\right)}{64 \, a}"," ",0,"1/64*c^3*cos_integral(7*arcsin(a*x))/a + 7/64*c^3*cos_integral(5*arcsin(a*x))/a + 21/64*c^3*cos_integral(3*arcsin(a*x))/a + 35/64*c^3*cos_integral(arcsin(a*x))/a","A",0
312,1,44,0,0.352922," ","integrate((-a^2*c*x^2+c)^2/arcsin(a*x),x, algorithm=""giac"")","\frac{c^{2} \operatorname{Ci}\left(5 \, \arcsin\left(a x\right)\right)}{16 \, a} + \frac{5 \, c^{2} \operatorname{Ci}\left(3 \, \arcsin\left(a x\right)\right)}{16 \, a} + \frac{5 \, c^{2} \operatorname{Ci}\left(\arcsin\left(a x\right)\right)}{8 \, a}"," ",0,"1/16*c^2*cos_integral(5*arcsin(a*x))/a + 5/16*c^2*cos_integral(3*arcsin(a*x))/a + 5/8*c^2*cos_integral(arcsin(a*x))/a","A",0
313,1,25,0,0.359143," ","integrate((-a^2*c*x^2+c)/arcsin(a*x),x, algorithm=""giac"")","\frac{c \operatorname{Ci}\left(3 \, \arcsin\left(a x\right)\right)}{4 \, a} + \frac{3 \, c \operatorname{Ci}\left(\arcsin\left(a x\right)\right)}{4 \, a}"," ",0,"1/4*c*cos_integral(3*arcsin(a*x))/a + 3/4*c*cos_integral(arcsin(a*x))/a","A",0
314,0,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)/arcsin(a*x),x, algorithm=""giac"")","\int -\frac{1}{{\left(a^{2} c x^{2} - c\right)} \arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(-1/((a^2*c*x^2 - c)*arcsin(a*x)), x)","F",0
315,0,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^2/arcsin(a*x),x, algorithm=""giac"")","\int \frac{1}{{\left(a^{2} c x^{2} - c\right)}^{2} \arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(1/((a^2*c*x^2 - c)^2*arcsin(a*x)), x)","F",0
316,1,472,0,0.422350," ","integrate(x^4*(-c^2*x^2+1)^(1/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{\cos\left(\frac{a}{b}\right)^{6} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b c^{5}} + \frac{\cos\left(\frac{a}{b}\right)^{5} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b c^{5}} - \frac{3 \, \cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{2 \, b c^{5}} - \frac{\cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, b c^{5}} - \frac{\cos\left(\frac{a}{b}\right)^{3} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b c^{5}} - \frac{\cos\left(\frac{a}{b}\right)^{3} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, b c^{5}} + \frac{9 \, \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{16 \, b c^{5}} + \frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, b c^{5}} - \frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{16 \, b c^{5}} + \frac{3 \, \cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{16 \, b c^{5}} + \frac{\cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{4 \, b c^{5}} - \frac{\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)}{16 \, b c^{5}} - \frac{\operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{32 \, b c^{5}} - \frac{\operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{16 \, b c^{5}} + \frac{\operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{32 \, b c^{5}} + \frac{\log\left(b \arcsin\left(c x\right) + a\right)}{16 \, b c^{5}}"," ",0,"cos(a/b)^6*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c^5) + cos(a/b)^5*sin(a/b)*sin_integral(6*a/b + 6*arcsin(c*x))/(b*c^5) - 3/2*cos(a/b)^4*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c^5) - 1/2*cos(a/b)^4*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^5) - cos(a/b)^3*sin(a/b)*sin_integral(6*a/b + 6*arcsin(c*x))/(b*c^5) - 1/2*cos(a/b)^3*sin(a/b)*sin_integral(4*a/b + 4*arcsin(c*x))/(b*c^5) + 9/16*cos(a/b)^2*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c^5) + 1/2*cos(a/b)^2*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^5) - 1/16*cos(a/b)^2*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c^5) + 3/16*cos(a/b)*sin(a/b)*sin_integral(6*a/b + 6*arcsin(c*x))/(b*c^5) + 1/4*cos(a/b)*sin(a/b)*sin_integral(4*a/b + 4*arcsin(c*x))/(b*c^5) - 1/16*cos(a/b)*sin(a/b)*sin_integral(2*a/b + 2*arcsin(c*x))/(b*c^5) - 1/32*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c^5) - 1/16*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^5) + 1/32*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c^5) + 1/16*log(b*arcsin(c*x) + a)/(b*c^5)","B",0
317,-2,0,0,0.000000," ","integrate(x^3*(-c^2*x^2+1)^(1/2)/(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
318,1,169,0,0.647966," ","integrate(x^2*(-c^2*x^2+1)^(1/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{\cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b c^{3}} - \frac{\cos\left(\frac{a}{b}\right)^{3} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b c^{3}} + \frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b c^{3}} + \frac{\cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, b c^{3}} - \frac{\operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{8 \, b c^{3}} + \frac{\log\left(b \arcsin\left(c x\right) + a\right)}{8 \, b c^{3}}"," ",0,"-cos(a/b)^4*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) - cos(a/b)^3*sin(a/b)*sin_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) + cos(a/b)^2*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) + 1/2*cos(a/b)*sin(a/b)*sin_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) - 1/8*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) + 1/8*log(b*arcsin(c*x) + a)/(b*c^3)","B",0
319,1,172,0,0.906776," ","integrate(x*(-c^2*x^2+1)^(1/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{\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 c^{2}} + \frac{\cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{b c^{2}} + \frac{\operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, b c^{2}} - \frac{\operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, b c^{2}} - \frac{3 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{4 \, b c^{2}} + \frac{\cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{4 \, b c^{2}}"," ",0,"-cos(a/b)^2*cos_integral(3*a/b + 3*arcsin(c*x))*sin(a/b)/(b*c^2) + cos(a/b)^3*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^2) + 1/4*cos_integral(3*a/b + 3*arcsin(c*x))*sin(a/b)/(b*c^2) - 1/4*cos_integral(a/b + arcsin(c*x))*sin(a/b)/(b*c^2) - 3/4*cos(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^2) + 1/4*cos(a/b)*sin_integral(a/b + arcsin(c*x))/(b*c^2)","A",0
320,1,102,0,0.495509," ","integrate((-c^2*x^2+1)^(1/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b c} + \frac{\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 c} - \frac{\operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{2 \, b c} + \frac{\log\left(b \arcsin\left(c x\right) + a\right)}{2 \, b c}"," ",0,"cos(a/b)^2*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c) + cos(a/b)*sin(a/b)*sin_integral(2*a/b + 2*arcsin(c*x))/(b*c) - 1/2*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c) + 1/2*log(b*arcsin(c*x) + a)/(b*c)","A",0
321,-2,0,0,0.000000," ","integrate((-c^2*x^2+1)^(1/2)/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
322,0,0,0,0.000000," ","integrate((-c^2*x^2+1)^(1/2)/x^2/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{\sqrt{-c^{2} x^{2} + 1}}{{\left(b \arcsin\left(c x\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(-c^2*x^2 + 1)/((b*arcsin(c*x) + a)*x^2), x)","F",0
323,-2,0,0,0.000000," ","integrate((-c^2*x^2+1)^(1/2)/x^3/(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
324,0,0,0,0.000000," ","integrate((-c^2*x^2+1)^(1/2)/x^4/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{\sqrt{-c^{2} x^{2} + 1}}{{\left(b \arcsin\left(c x\right) + a\right)} x^{4}}\,{d x}"," ",0,"integrate(sqrt(-c^2*x^2 + 1)/((b*arcsin(c*x) + a)*x^4), x)","F",0
325,1,614,0,0.920768," ","integrate(x^3*(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{\cos\left(\frac{a}{b}\right)^{6} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b c^{4}} - \frac{\cos\left(\frac{a}{b}\right)^{7} \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{b c^{4}} - \frac{5 \, \cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, b c^{4}} + \frac{\cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, b c^{4}} + \frac{7 \, \cos\left(\frac{a}{b}\right)^{5} \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, b c^{4}} - \frac{\cos\left(\frac{a}{b}\right)^{5} \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, b c^{4}} + \frac{3 \, \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, b c^{4}} - \frac{3 \, \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{16 \, b c^{4}} - \frac{3 \, \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)}{16 \, b c^{4}} - \frac{7 \, \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{8 \, b c^{4}} + \frac{5 \, \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, b c^{4}} + \frac{3 \, \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{16 \, b c^{4}} - \frac{\operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{64 \, b c^{4}} + \frac{\operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{64 \, b c^{4}} + \frac{3 \, \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{64 \, b c^{4}} - \frac{3 \, \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{64 \, b c^{4}} + \frac{7 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{64 \, b c^{4}} - \frac{5 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{64 \, b c^{4}} - \frac{9 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{64 \, b c^{4}} + \frac{3 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{64 \, b c^{4}}"," ",0,"cos(a/b)^6*cos_integral(7*a/b + 7*arcsin(c*x))*sin(a/b)/(b*c^4) - cos(a/b)^7*sin_integral(7*a/b + 7*arcsin(c*x))/(b*c^4) - 5/4*cos(a/b)^4*cos_integral(7*a/b + 7*arcsin(c*x))*sin(a/b)/(b*c^4) + 1/4*cos(a/b)^4*cos_integral(5*a/b + 5*arcsin(c*x))*sin(a/b)/(b*c^4) + 7/4*cos(a/b)^5*sin_integral(7*a/b + 7*arcsin(c*x))/(b*c^4) - 1/4*cos(a/b)^5*sin_integral(5*a/b + 5*arcsin(c*x))/(b*c^4) + 3/8*cos(a/b)^2*cos_integral(7*a/b + 7*arcsin(c*x))*sin(a/b)/(b*c^4) - 3/16*cos(a/b)^2*cos_integral(5*a/b + 5*arcsin(c*x))*sin(a/b)/(b*c^4) - 3/16*cos(a/b)^2*cos_integral(3*a/b + 3*arcsin(c*x))*sin(a/b)/(b*c^4) - 7/8*cos(a/b)^3*sin_integral(7*a/b + 7*arcsin(c*x))/(b*c^4) + 5/16*cos(a/b)^3*sin_integral(5*a/b + 5*arcsin(c*x))/(b*c^4) + 3/16*cos(a/b)^3*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^4) - 1/64*cos_integral(7*a/b + 7*arcsin(c*x))*sin(a/b)/(b*c^4) + 1/64*cos_integral(5*a/b + 5*arcsin(c*x))*sin(a/b)/(b*c^4) + 3/64*cos_integral(3*a/b + 3*arcsin(c*x))*sin(a/b)/(b*c^4) - 3/64*cos_integral(a/b + arcsin(c*x))*sin(a/b)/(b*c^4) + 7/64*cos(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b*c^4) - 5/64*cos(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b*c^4) - 9/64*cos(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^4) + 3/64*cos(a/b)*sin_integral(a/b + arcsin(c*x))/(b*c^4)","B",0
326,1,473,0,0.781441," ","integrate(x^2*(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{\cos\left(\frac{a}{b}\right)^{6} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b c^{3}} - \frac{\cos\left(\frac{a}{b}\right)^{5} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b c^{3}} + \frac{3 \, \cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{2 \, b c^{3}} - \frac{\cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, b c^{3}} + \frac{\cos\left(\frac{a}{b}\right)^{3} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b c^{3}} - \frac{\cos\left(\frac{a}{b}\right)^{3} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, b c^{3}} - \frac{9 \, \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{16 \, b c^{3}} + \frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, b c^{3}} + \frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{16 \, b c^{3}} - \frac{3 \, \cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{16 \, b c^{3}} + \frac{\cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{4 \, b c^{3}} + \frac{\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)}{16 \, b c^{3}} + \frac{\operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{32 \, b c^{3}} - \frac{\operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{16 \, b c^{3}} - \frac{\operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{32 \, b c^{3}} + \frac{\log\left(b \arcsin\left(c x\right) + a\right)}{16 \, b c^{3}}"," ",0,"-cos(a/b)^6*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c^3) - cos(a/b)^5*sin(a/b)*sin_integral(6*a/b + 6*arcsin(c*x))/(b*c^3) + 3/2*cos(a/b)^4*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c^3) - 1/2*cos(a/b)^4*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) + cos(a/b)^3*sin(a/b)*sin_integral(6*a/b + 6*arcsin(c*x))/(b*c^3) - 1/2*cos(a/b)^3*sin(a/b)*sin_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) - 9/16*cos(a/b)^2*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c^3) + 1/2*cos(a/b)^2*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) + 1/16*cos(a/b)^2*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c^3) - 3/16*cos(a/b)*sin(a/b)*sin_integral(6*a/b + 6*arcsin(c*x))/(b*c^3) + 1/4*cos(a/b)*sin(a/b)*sin_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) + 1/16*cos(a/b)*sin(a/b)*sin_integral(2*a/b + 2*arcsin(c*x))/(b*c^3) + 1/32*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c^3) - 1/16*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) - 1/32*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c^3) + 1/16*log(b*arcsin(c*x) + a)/(b*c^3)","B",0
327,1,360,0,0.411836," ","integrate(x*(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{\cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b c^{2}} + \frac{\cos\left(\frac{a}{b}\right)^{5} \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{b c^{2}} + \frac{3 \, \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, b c^{2}} - \frac{3 \, \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)}{4 \, b c^{2}} - \frac{5 \, \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, b c^{2}} + \frac{3 \, \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{4 \, b c^{2}} - \frac{\operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{16 \, b c^{2}} + \frac{3 \, \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{16 \, b c^{2}} - \frac{\operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, b c^{2}} + \frac{5 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, b c^{2}} - \frac{9 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{16 \, b c^{2}} + \frac{\cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{8 \, b c^{2}}"," ",0,"-cos(a/b)^4*cos_integral(5*a/b + 5*arcsin(c*x))*sin(a/b)/(b*c^2) + cos(a/b)^5*sin_integral(5*a/b + 5*arcsin(c*x))/(b*c^2) + 3/4*cos(a/b)^2*cos_integral(5*a/b + 5*arcsin(c*x))*sin(a/b)/(b*c^2) - 3/4*cos(a/b)^2*cos_integral(3*a/b + 3*arcsin(c*x))*sin(a/b)/(b*c^2) - 5/4*cos(a/b)^3*sin_integral(5*a/b + 5*arcsin(c*x))/(b*c^2) + 3/4*cos(a/b)^3*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^2) - 1/16*cos_integral(5*a/b + 5*arcsin(c*x))*sin(a/b)/(b*c^2) + 3/16*cos_integral(3*a/b + 3*arcsin(c*x))*sin(a/b)/(b*c^2) - 1/8*cos_integral(a/b + arcsin(c*x))*sin(a/b)/(b*c^2) + 5/16*cos(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b*c^2) - 9/16*cos(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^2) + 1/8*cos(a/b)*sin_integral(a/b + arcsin(c*x))/(b*c^2)","B",0
328,1,252,0,0.373644," ","integrate((-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{\cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b c} + \frac{\cos\left(\frac{a}{b}\right)^{3} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b c} - \frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b c} + \frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b c} - \frac{\cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, b c} + \frac{\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 c} + \frac{\operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{8 \, b c} - \frac{\operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{2 \, b c} + \frac{3 \, \log\left(b \arcsin\left(c x\right) + a\right)}{8 \, b c}"," ",0,"cos(a/b)^4*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c) + cos(a/b)^3*sin(a/b)*sin_integral(4*a/b + 4*arcsin(c*x))/(b*c) - cos(a/b)^2*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c) + cos(a/b)^2*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c) - 1/2*cos(a/b)*sin(a/b)*sin_integral(4*a/b + 4*arcsin(c*x))/(b*c) + cos(a/b)*sin(a/b)*sin_integral(2*a/b + 2*arcsin(c*x))/(b*c) + 1/8*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c) - 1/2*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c) + 3/8*log(b*arcsin(c*x) + a)/(b*c)","A",0
329,-2,0,0,0.000000," ","integrate((-c^2*x^2+1)^(3/2)/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
330,0,0,0,0.000000," ","integrate((-c^2*x^2+1)^(3/2)/x^2/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{{\left(b \arcsin\left(c x\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate((-c^2*x^2 + 1)^(3/2)/((b*arcsin(c*x) + a)*x^2), x)","F",0
331,-2,0,0,0.000000," ","integrate((-c^2*x^2+1)^(3/2)/x^3/(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
332,0,0,0,0.000000," ","integrate((-c^2*x^2+1)^(3/2)/x^4/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{{\left(b \arcsin\left(c x\right) + a\right)} x^{4}}\,{d x}"," ",0,"integrate((-c^2*x^2 + 1)^(3/2)/((b*arcsin(c*x) + a)*x^4), x)","F",0
333,1,746,0,0.513413," ","integrate(x^3*(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{\cos\left(\frac{a}{b}\right)^{8} \operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b c^{4}} - \frac{\cos\left(\frac{a}{b}\right)^{9} \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{b c^{4}} - \frac{7 \, \cos\left(\frac{a}{b}\right)^{6} \operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, b c^{4}} + \frac{3 \, \cos\left(\frac{a}{b}\right)^{6} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, b c^{4}} + \frac{9 \, \cos\left(\frac{a}{b}\right)^{7} \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{4 \, b c^{4}} - \frac{3 \, \cos\left(\frac{a}{b}\right)^{7} \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, b c^{4}} + \frac{15 \, \cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{16 \, b c^{4}} - \frac{15 \, \cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{16 \, b c^{4}} - \frac{27 \, \cos\left(\frac{a}{b}\right)^{5} \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{16 \, b c^{4}} + \frac{21 \, \cos\left(\frac{a}{b}\right)^{5} \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{16 \, b c^{4}} - \frac{5 \, \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{32 \, b c^{4}} + \frac{9 \, \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{32 \, b c^{4}} - \frac{\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)}{8 \, b c^{4}} + \frac{15 \, \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{32 \, b c^{4}} - \frac{21 \, \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{32 \, b c^{4}} + \frac{\cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{8 \, b c^{4}} + \frac{\operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{256 \, b c^{4}} - \frac{3 \, \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{256 \, b c^{4}} + \frac{\operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{32 \, b c^{4}} - \frac{3 \, \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{128 \, b c^{4}} - \frac{9 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{256 \, b c^{4}} + \frac{21 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{256 \, b c^{4}} - \frac{3 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{32 \, b c^{4}} + \frac{3 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{128 \, b c^{4}}"," ",0,"cos(a/b)^8*cos_integral(9*a/b + 9*arcsin(c*x))*sin(a/b)/(b*c^4) - cos(a/b)^9*sin_integral(9*a/b + 9*arcsin(c*x))/(b*c^4) - 7/4*cos(a/b)^6*cos_integral(9*a/b + 9*arcsin(c*x))*sin(a/b)/(b*c^4) + 3/4*cos(a/b)^6*cos_integral(7*a/b + 7*arcsin(c*x))*sin(a/b)/(b*c^4) + 9/4*cos(a/b)^7*sin_integral(9*a/b + 9*arcsin(c*x))/(b*c^4) - 3/4*cos(a/b)^7*sin_integral(7*a/b + 7*arcsin(c*x))/(b*c^4) + 15/16*cos(a/b)^4*cos_integral(9*a/b + 9*arcsin(c*x))*sin(a/b)/(b*c^4) - 15/16*cos(a/b)^4*cos_integral(7*a/b + 7*arcsin(c*x))*sin(a/b)/(b*c^4) - 27/16*cos(a/b)^5*sin_integral(9*a/b + 9*arcsin(c*x))/(b*c^4) + 21/16*cos(a/b)^5*sin_integral(7*a/b + 7*arcsin(c*x))/(b*c^4) - 5/32*cos(a/b)^2*cos_integral(9*a/b + 9*arcsin(c*x))*sin(a/b)/(b*c^4) + 9/32*cos(a/b)^2*cos_integral(7*a/b + 7*arcsin(c*x))*sin(a/b)/(b*c^4) - 1/8*cos(a/b)^2*cos_integral(3*a/b + 3*arcsin(c*x))*sin(a/b)/(b*c^4) + 15/32*cos(a/b)^3*sin_integral(9*a/b + 9*arcsin(c*x))/(b*c^4) - 21/32*cos(a/b)^3*sin_integral(7*a/b + 7*arcsin(c*x))/(b*c^4) + 1/8*cos(a/b)^3*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^4) + 1/256*cos_integral(9*a/b + 9*arcsin(c*x))*sin(a/b)/(b*c^4) - 3/256*cos_integral(7*a/b + 7*arcsin(c*x))*sin(a/b)/(b*c^4) + 1/32*cos_integral(3*a/b + 3*arcsin(c*x))*sin(a/b)/(b*c^4) - 3/128*cos_integral(a/b + arcsin(c*x))*sin(a/b)/(b*c^4) - 9/256*cos(a/b)*sin_integral(9*a/b + 9*arcsin(c*x))/(b*c^4) + 21/256*cos(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b*c^4) - 3/32*cos(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^4) + 3/128*cos(a/b)*sin_integral(a/b + arcsin(c*x))/(b*c^4)","B",0
334,1,757,0,0.591184," ","integrate(x^2*(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{\cos\left(\frac{a}{b}\right)^{8} \operatorname{Ci}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{b c^{3}} - \frac{\cos\left(\frac{a}{b}\right)^{7} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{b c^{3}} + \frac{2 \, \cos\left(\frac{a}{b}\right)^{6} \operatorname{Ci}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{b c^{3}} - \frac{\cos\left(\frac{a}{b}\right)^{6} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b c^{3}} + \frac{3 \, \cos\left(\frac{a}{b}\right)^{5} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{2 \, b c^{3}} - \frac{\cos\left(\frac{a}{b}\right)^{5} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b c^{3}} - \frac{5 \, \cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{4 \, b c^{3}} + \frac{3 \, \cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{2 \, b c^{3}} - \frac{\cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{4 \, b c^{3}} - \frac{5 \, \cos\left(\frac{a}{b}\right)^{3} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{8 \, b c^{3}} + \frac{\cos\left(\frac{a}{b}\right)^{3} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b c^{3}} - \frac{\cos\left(\frac{a}{b}\right)^{3} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{4 \, b c^{3}} + \frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{4 \, b c^{3}} - \frac{9 \, \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{16 \, b c^{3}} + \frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{4 \, b c^{3}} + \frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{16 \, b c^{3}} + \frac{\cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{16 \, b c^{3}} - \frac{3 \, \cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{16 \, b c^{3}} + \frac{\cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{8 \, b c^{3}} + \frac{\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)}{16 \, b c^{3}} - \frac{\operatorname{Ci}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{128 \, b c^{3}} + \frac{\operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{32 \, b c^{3}} - \frac{\operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{32 \, b c^{3}} - \frac{\operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{32 \, b c^{3}} + \frac{5 \, \log\left(b \arcsin\left(c x\right) + a\right)}{128 \, b c^{3}}"," ",0,"-cos(a/b)^8*cos_integral(8*a/b + 8*arcsin(c*x))/(b*c^3) - cos(a/b)^7*sin(a/b)*sin_integral(8*a/b + 8*arcsin(c*x))/(b*c^3) + 2*cos(a/b)^6*cos_integral(8*a/b + 8*arcsin(c*x))/(b*c^3) - cos(a/b)^6*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c^3) + 3/2*cos(a/b)^5*sin(a/b)*sin_integral(8*a/b + 8*arcsin(c*x))/(b*c^3) - cos(a/b)^5*sin(a/b)*sin_integral(6*a/b + 6*arcsin(c*x))/(b*c^3) - 5/4*cos(a/b)^4*cos_integral(8*a/b + 8*arcsin(c*x))/(b*c^3) + 3/2*cos(a/b)^4*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c^3) - 1/4*cos(a/b)^4*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) - 5/8*cos(a/b)^3*sin(a/b)*sin_integral(8*a/b + 8*arcsin(c*x))/(b*c^3) + cos(a/b)^3*sin(a/b)*sin_integral(6*a/b + 6*arcsin(c*x))/(b*c^3) - 1/4*cos(a/b)^3*sin(a/b)*sin_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) + 1/4*cos(a/b)^2*cos_integral(8*a/b + 8*arcsin(c*x))/(b*c^3) - 9/16*cos(a/b)^2*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c^3) + 1/4*cos(a/b)^2*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) + 1/16*cos(a/b)^2*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c^3) + 1/16*cos(a/b)*sin(a/b)*sin_integral(8*a/b + 8*arcsin(c*x))/(b*c^3) - 3/16*cos(a/b)*sin(a/b)*sin_integral(6*a/b + 6*arcsin(c*x))/(b*c^3) + 1/8*cos(a/b)*sin(a/b)*sin_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) + 1/16*cos(a/b)*sin(a/b)*sin_integral(2*a/b + 2*arcsin(c*x))/(b*c^3) - 1/128*cos_integral(8*a/b + 8*arcsin(c*x))/(b*c^3) + 1/32*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c^3) - 1/32*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^3) - 1/32*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c^3) + 5/128*log(b*arcsin(c*x) + a)/(b*c^3)","B",0
335,1,614,0,0.832976," ","integrate(x*(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","-\frac{\cos\left(\frac{a}{b}\right)^{6} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b c^{2}} + \frac{\cos\left(\frac{a}{b}\right)^{7} \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{b c^{2}} + \frac{5 \, \cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, b c^{2}} - \frac{5 \, \cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, b c^{2}} - \frac{7 \, \cos\left(\frac{a}{b}\right)^{5} \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, b c^{2}} + \frac{5 \, \cos\left(\frac{a}{b}\right)^{5} \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, b c^{2}} - \frac{3 \, \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, b c^{2}} + \frac{15 \, \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{16 \, b c^{2}} - \frac{9 \, \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)}{16 \, b c^{2}} + \frac{7 \, \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{8 \, b c^{2}} - \frac{25 \, \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, b c^{2}} + \frac{9 \, \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{16 \, b c^{2}} + \frac{\operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{64 \, b c^{2}} - \frac{5 \, \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{64 \, b c^{2}} + \frac{9 \, \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{64 \, b c^{2}} - \frac{5 \, \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{64 \, b c^{2}} - \frac{7 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{64 \, b c^{2}} + \frac{25 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{64 \, b c^{2}} - \frac{27 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{64 \, b c^{2}} + \frac{5 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{64 \, b c^{2}}"," ",0,"-cos(a/b)^6*cos_integral(7*a/b + 7*arcsin(c*x))*sin(a/b)/(b*c^2) + cos(a/b)^7*sin_integral(7*a/b + 7*arcsin(c*x))/(b*c^2) + 5/4*cos(a/b)^4*cos_integral(7*a/b + 7*arcsin(c*x))*sin(a/b)/(b*c^2) - 5/4*cos(a/b)^4*cos_integral(5*a/b + 5*arcsin(c*x))*sin(a/b)/(b*c^2) - 7/4*cos(a/b)^5*sin_integral(7*a/b + 7*arcsin(c*x))/(b*c^2) + 5/4*cos(a/b)^5*sin_integral(5*a/b + 5*arcsin(c*x))/(b*c^2) - 3/8*cos(a/b)^2*cos_integral(7*a/b + 7*arcsin(c*x))*sin(a/b)/(b*c^2) + 15/16*cos(a/b)^2*cos_integral(5*a/b + 5*arcsin(c*x))*sin(a/b)/(b*c^2) - 9/16*cos(a/b)^2*cos_integral(3*a/b + 3*arcsin(c*x))*sin(a/b)/(b*c^2) + 7/8*cos(a/b)^3*sin_integral(7*a/b + 7*arcsin(c*x))/(b*c^2) - 25/16*cos(a/b)^3*sin_integral(5*a/b + 5*arcsin(c*x))/(b*c^2) + 9/16*cos(a/b)^3*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^2) + 1/64*cos_integral(7*a/b + 7*arcsin(c*x))*sin(a/b)/(b*c^2) - 5/64*cos_integral(5*a/b + 5*arcsin(c*x))*sin(a/b)/(b*c^2) + 9/64*cos_integral(3*a/b + 3*arcsin(c*x))*sin(a/b)/(b*c^2) - 5/64*cos_integral(a/b + arcsin(c*x))*sin(a/b)/(b*c^2) - 7/64*cos(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b*c^2) + 25/64*cos(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b*c^2) - 27/64*cos(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^2) + 5/64*cos(a/b)*sin_integral(a/b + arcsin(c*x))/(b*c^2)","B",0
336,1,472,0,0.688874," ","integrate((-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{\cos\left(\frac{a}{b}\right)^{6} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b c} + \frac{\cos\left(\frac{a}{b}\right)^{5} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b c} - \frac{3 \, \cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{2 \, b c} + \frac{3 \, \cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, b c} - \frac{\cos\left(\frac{a}{b}\right)^{3} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b c} + \frac{3 \, \cos\left(\frac{a}{b}\right)^{3} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, b c} + \frac{9 \, \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{16 \, b c} - \frac{3 \, \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, b c} + \frac{15 \, \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{16 \, b c} + \frac{3 \, \cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{16 \, b c} - \frac{3 \, \cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{4 \, b c} + \frac{15 \, \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)}{16 \, b c} - \frac{\operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{32 \, b c} + \frac{3 \, \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{16 \, b c} - \frac{15 \, \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{32 \, b c} + \frac{5 \, \log\left(b \arcsin\left(c x\right) + a\right)}{16 \, b c}"," ",0,"cos(a/b)^6*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c) + cos(a/b)^5*sin(a/b)*sin_integral(6*a/b + 6*arcsin(c*x))/(b*c) - 3/2*cos(a/b)^4*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c) + 3/2*cos(a/b)^4*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c) - cos(a/b)^3*sin(a/b)*sin_integral(6*a/b + 6*arcsin(c*x))/(b*c) + 3/2*cos(a/b)^3*sin(a/b)*sin_integral(4*a/b + 4*arcsin(c*x))/(b*c) + 9/16*cos(a/b)^2*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c) - 3/2*cos(a/b)^2*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c) + 15/16*cos(a/b)^2*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c) + 3/16*cos(a/b)*sin(a/b)*sin_integral(6*a/b + 6*arcsin(c*x))/(b*c) - 3/4*cos(a/b)*sin(a/b)*sin_integral(4*a/b + 4*arcsin(c*x))/(b*c) + 15/16*cos(a/b)*sin(a/b)*sin_integral(2*a/b + 2*arcsin(c*x))/(b*c) - 1/32*cos_integral(6*a/b + 6*arcsin(c*x))/(b*c) + 3/16*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c) - 15/32*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c) + 5/16*log(b*arcsin(c*x) + a)/(b*c)","B",0
337,-2,0,0,0.000000," ","integrate((-c^2*x^2+1)^(5/2)/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
338,0,0,0,0.000000," ","integrate((-c^2*x^2+1)^(5/2)/x^2/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{5}{2}}}{{\left(b \arcsin\left(c x\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate((-c^2*x^2 + 1)^(5/2)/((b*arcsin(c*x) + a)*x^2), x)","F",0
339,-2,0,0,0.000000," ","integrate((-c^2*x^2+1)^(5/2)/x^3/(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
340,0,0,0,0.000000," ","integrate((-c^2*x^2+1)^(5/2)/x^4/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{5}{2}}}{{\left(b \arcsin\left(c x\right) + a\right)} x^{4}}\,{d x}"," ",0,"integrate((-c^2*x^2 + 1)^(5/2)/((b*arcsin(c*x) + a)*x^4), x)","F",0
341,1,35,0,0.888355," ","integrate(x^4/arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{\operatorname{Ci}\left(4 \, \arcsin\left(a x\right)\right)}{8 \, a^{5}} - \frac{\operatorname{Ci}\left(2 \, \arcsin\left(a x\right)\right)}{2 \, a^{5}} + \frac{3 \, \log\left(\arcsin\left(a x\right)\right)}{8 \, a^{5}}"," ",0,"1/8*cos_integral(4*arcsin(a*x))/a^5 - 1/2*cos_integral(2*arcsin(a*x))/a^5 + 3/8*log(arcsin(a*x))/a^5","A",0
342,-2,0,0,0.000000," ","integrate(x^3/arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
343,1,23,0,0.354171," ","integrate(x^2/arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{\operatorname{Ci}\left(2 \, \arcsin\left(a x\right)\right)}{2 \, a^{3}} + \frac{\log\left(\arcsin\left(a x\right)\right)}{2 \, a^{3}}"," ",0,"-1/2*cos_integral(2*arcsin(a*x))/a^3 + 1/2*log(arcsin(a*x))/a^3","A",0
344,1,23,0,0.552001," ","integrate(x^2/arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{\operatorname{Ci}\left(2 \, \arcsin\left(a x\right)\right)}{2 \, a^{3}} + \frac{\log\left(\arcsin\left(a x\right)\right)}{2 \, a^{3}}"," ",0,"-1/2*cos_integral(2*arcsin(a*x))/a^3 + 1/2*log(arcsin(a*x))/a^3","A",0
345,1,9,0,0.765241," ","integrate(x/arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{\operatorname{Si}\left(\arcsin\left(a x\right)\right)}{a^{2}}"," ",0,"sin_integral(arcsin(a*x))/a^2","A",0
346,1,10,0,0.583491," ","integrate(1/arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{\log\left({\left| \arcsin\left(a x\right) \right|}\right)}{a}"," ",0,"log(abs(arcsin(a*x)))/a","A",0
347,0,0,0,0.000000," ","integrate(1/x/arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-a^{2} x^{2} + 1} x \arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(1/(sqrt(-a^2*x^2 + 1)*x*arcsin(a*x)), x)","F",0
348,0,0,0,0.000000," ","integrate(1/x^2/arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-a^{2} x^{2} + 1} x^{2} \arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(1/(sqrt(-a^2*x^2 + 1)*x^2*arcsin(a*x)), x)","F",0
349,-2,0,0,0.000000," ","integrate(x^5/(a+b*arcsin(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
350,1,254,0,0.452239," ","integrate(x^4/(a+b*arcsin(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{\cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b c^{5}} + \frac{\cos\left(\frac{a}{b}\right)^{3} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b c^{5}} - \frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b c^{5}} - \frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b c^{5}} - \frac{\cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, b c^{5}} - \frac{\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 c^{5}} + \frac{\operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{8 \, b c^{5}} + \frac{\operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{2 \, b c^{5}} + \frac{3 \, \log\left(b \arcsin\left(c x\right) + a\right)}{8 \, b c^{5}}"," ",0,"cos(a/b)^4*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^5) + cos(a/b)^3*sin(a/b)*sin_integral(4*a/b + 4*arcsin(c*x))/(b*c^5) - cos(a/b)^2*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^5) - cos(a/b)^2*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c^5) - 1/2*cos(a/b)*sin(a/b)*sin_integral(4*a/b + 4*arcsin(c*x))/(b*c^5) - cos(a/b)*sin(a/b)*sin_integral(2*a/b + 2*arcsin(c*x))/(b*c^5) + 1/8*cos_integral(4*a/b + 4*arcsin(c*x))/(b*c^5) + 1/2*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c^5) + 3/8*log(b*arcsin(c*x) + a)/(b*c^5)","A",0
351,-2,0,0,0.000000," ","integrate(x^3/(a+b*arcsin(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
352,1,104,0,0.425137," ","integrate(x^2/(a+b*arcsin(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b c^{3}} - \frac{\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 c^{3}} + \frac{\operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{2 \, b c^{3}} + \frac{\log\left(b \arcsin\left(c x\right) + a\right)}{2 \, b c^{3}}"," ",0,"-cos(a/b)^2*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c^3) - cos(a/b)*sin(a/b)*sin_integral(2*a/b + 2*arcsin(c*x))/(b*c^3) + 1/2*cos_integral(2*a/b + 2*arcsin(c*x))/(b*c^3) + 1/2*log(b*arcsin(c*x) + a)/(b*c^3)","A",0
353,1,50,0,0.361651," ","integrate(x/(a+b*arcsin(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{\operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b c^{2}} + \frac{\cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{b c^{2}}"," ",0,"-cos_integral(a/b + arcsin(c*x))*sin(a/b)/(b*c^2) + cos(a/b)*sin_integral(a/b + arcsin(c*x))/(b*c^2)","A",0
354,1,17,0,0.398329," ","integrate(1/(a+b*arcsin(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{\log\left({\left| b \arcsin\left(c x\right) + a \right|}\right)}{b c}"," ",0,"log(abs(b*arcsin(c*x) + a))/(b*c)","A",0
355,-2,0,0,0.000000," ","integrate(1/x/(a+b*arcsin(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
356,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arcsin(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-c^{2} x^{2} + 1} {\left(b \arcsin\left(c x\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(-c^2*x^2 + 1)*(b*arcsin(c*x) + a)*x^2), x)","F",0
357,0,0,0,0.000000," ","integrate(x^2/(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(x^2/((-c^2*x^2 + 1)^(3/2)*(b*arcsin(c*x) + a)), x)","F",0
358,-2,0,0,0.000000," ","integrate(x/(-c^2*x^2+1)^(3/2)/(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
359,0,0,0,0.000000," ","integrate(1/(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{1}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((-c^2*x^2 + 1)^(3/2)*(b*arcsin(c*x) + a)), x)","F",0
360,-2,0,0,0.000000," ","integrate(1/x/(-c^2*x^2+1)^(3/2)/(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
361,0,0,0,0.000000," ","integrate(1/x^2/(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{1}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((-c^2*x^2 + 1)^(3/2)*(b*arcsin(c*x) + a)*x^2), x)","F",0
362,0,0,0,0.000000," ","integrate(x^2/(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(x^2/((-c^2*x^2 + 1)^(5/2)*(b*arcsin(c*x) + a)), x)","F",0
363,-2,0,0,0.000000," ","integrate(x/(-c^2*x^2+1)^(5/2)/(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
364,0,0,0,0.000000," ","integrate(1/(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{1}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((-c^2*x^2 + 1)^(5/2)*(b*arcsin(c*x) + a)), x)","F",0
365,-2,0,0,0.000000," ","integrate(1/x/(-c^2*x^2+1)^(5/2)/(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
366,0,0,0,0.000000," ","integrate(1/x^2/(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{1}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((-c^2*x^2 + 1)^(5/2)*(b*arcsin(c*x) + a)*x^2), x)","F",0
367,-2,0,0,0.000000," ","integrate(x^m*(-c^2*x^2+1)^(5/2)/(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
368,-2,0,0,0.000000," ","integrate(x^m*(-c^2*x^2+1)^(3/2)/(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
369,-2,0,0,0.000000," ","integrate(x^m*(-c^2*x^2+1)^(1/2)/(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
370,0,0,0,0.000000," ","integrate(x^m/(-c^2*x^2+1)^(1/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{x^{m}}{\sqrt{-c^{2} x^{2} + 1} {\left(b \arcsin\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(x^m/(sqrt(-c^2*x^2 + 1)*(b*arcsin(c*x) + a)), x)","F",0
371,0,0,0,0.000000," ","integrate(x^m/(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{x^{m}}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(x^m/((-c^2*x^2 + 1)^(3/2)*(b*arcsin(c*x) + a)), x)","F",0
372,0,0,0,0.000000," ","integrate(x^m/(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{x^{m}}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(x^m/((-c^2*x^2 + 1)^(5/2)*(b*arcsin(c*x) + a)), x)","F",0
373,0,0,0,0.000000," ","integrate(x^m/arcsin(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m}}{\sqrt{-a^{2} x^{2} + 1} \arcsin\left(a x\right)}\,{d x}"," ",0,"integrate(x^m/(sqrt(-a^2*x^2 + 1)*arcsin(a*x)), x)","F",0
374,1,95,0,0.468888," ","integrate((-a^2*c*x^2+c)^3/arcsin(a*x)^2,x, algorithm=""giac"")","\frac{{\left(a^{2} x^{2} - 1\right)}^{3} \sqrt{-a^{2} x^{2} + 1} c^{3}}{a \arcsin\left(a x\right)} - \frac{7 \, c^{3} \operatorname{Si}\left(7 \, \arcsin\left(a x\right)\right)}{64 \, a} - \frac{35 \, c^{3} \operatorname{Si}\left(5 \, \arcsin\left(a x\right)\right)}{64 \, a} - \frac{63 \, c^{3} \operatorname{Si}\left(3 \, \arcsin\left(a x\right)\right)}{64 \, a} - \frac{35 \, c^{3} \operatorname{Si}\left(\arcsin\left(a x\right)\right)}{64 \, a}"," ",0,"(a^2*x^2 - 1)^3*sqrt(-a^2*x^2 + 1)*c^3/(a*arcsin(a*x)) - 7/64*c^3*sin_integral(7*arcsin(a*x))/a - 35/64*c^3*sin_integral(5*arcsin(a*x))/a - 63/64*c^3*sin_integral(3*arcsin(a*x))/a - 35/64*c^3*sin_integral(arcsin(a*x))/a","A",0
375,1,81,0,0.430920," ","integrate((-a^2*c*x^2+c)^2/arcsin(a*x)^2,x, algorithm=""giac"")","-\frac{{\left(a^{2} x^{2} - 1\right)}^{2} \sqrt{-a^{2} x^{2} + 1} c^{2}}{a \arcsin\left(a x\right)} - \frac{5 \, c^{2} \operatorname{Si}\left(5 \, \arcsin\left(a x\right)\right)}{16 \, a} - \frac{15 \, c^{2} \operatorname{Si}\left(3 \, \arcsin\left(a x\right)\right)}{16 \, a} - \frac{5 \, c^{2} \operatorname{Si}\left(\arcsin\left(a x\right)\right)}{8 \, a}"," ",0,"-(a^2*x^2 - 1)^2*sqrt(-a^2*x^2 + 1)*c^2/(a*arcsin(a*x)) - 5/16*c^2*sin_integral(5*arcsin(a*x))/a - 15/16*c^2*sin_integral(3*arcsin(a*x))/a - 5/8*c^2*sin_integral(arcsin(a*x))/a","A",0
376,1,49,0,0.435499," ","integrate((-a^2*c*x^2+c)/arcsin(a*x)^2,x, algorithm=""giac"")","-\frac{3 \, c \operatorname{Si}\left(3 \, \arcsin\left(a x\right)\right)}{4 \, a} - \frac{3 \, c \operatorname{Si}\left(\arcsin\left(a x\right)\right)}{4 \, a} - \frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} c}{a \arcsin\left(a x\right)}"," ",0,"-3/4*c*sin_integral(3*arcsin(a*x))/a - 3/4*c*sin_integral(arcsin(a*x))/a - (-a^2*x^2 + 1)^(3/2)*c/(a*arcsin(a*x))","A",0
377,0,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)/arcsin(a*x)^2,x, algorithm=""giac"")","\int -\frac{1}{{\left(a^{2} c x^{2} - c\right)} \arcsin\left(a x\right)^{2}}\,{d x}"," ",0,"integrate(-1/((a^2*c*x^2 - c)*arcsin(a*x)^2), x)","F",0
378,0,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^2/arcsin(a*x)^2,x, algorithm=""giac"")","\int \frac{1}{{\left(a^{2} c x^{2} - c\right)}^{2} \arcsin\left(a x\right)^{2}}\,{d x}"," ",0,"integrate(1/((a^2*c*x^2 - c)^2*arcsin(a*x)^2), x)","F",0
379,1,70,0,0.648779," ","integrate(1/(-x^2+1)/arcsin(x)^2-x/(-x^2+1)^(3/2)/arcsin(x),x, algorithm=""giac"")","\frac{1}{\frac{x^{2} \arcsin\left(x\right)}{{\left(\sqrt{-x^{2} + 1} + 1\right)}^{2}} - \arcsin\left(x\right)} + \frac{x^{2}}{{\left(\frac{x^{2} \arcsin\left(x\right)}{{\left(\sqrt{-x^{2} + 1} + 1\right)}^{2}} - \arcsin\left(x\right)\right)} {\left(\sqrt{-x^{2} + 1} + 1\right)}^{2}}"," ",0,"1/(x^2*arcsin(x)/(sqrt(-x^2 + 1) + 1)^2 - arcsin(x)) + x^2/((x^2*arcsin(x)/(sqrt(-x^2 + 1) + 1)^2 - arcsin(x))*(sqrt(-x^2 + 1) + 1)^2)","B",0
380,-2,0,0,0.000000," ","integrate(x^m*(-c^2*x^2+1)^(1/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
381,-2,0,0,0.000000," ","integrate(x^3*(-c^2*x^2+1)^(1/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
382,1,563,0,0.592473," ","integrate(x^2*(-c^2*x^2+1)^(1/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{4 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{4 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{4 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{4 \, a \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{2 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{4 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{2 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{4 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)} b}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{a \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}}"," ",0,"-4*b*arcsin(c*x)*cos(a/b)^3*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 4*b*arcsin(c*x)*cos(a/b)^4*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 4*a*cos(a/b)^3*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 4*a*cos(a/b)^4*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 2*b*arcsin(c*x)*cos(a/b)*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 4*b*arcsin(c*x)*cos(a/b)^2*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 2*a*cos(a/b)*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 4*a*cos(a/b)^2*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + (c^2*x^2 - 1)^2*b/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/2*b*arcsin(c*x)*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + (c^2*x^2 - 1)*b/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/2*a*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3)","B",0
383,1,608,0,0.706025," ","integrate(x*(-c^2*x^2+1)^(1/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{3 \, 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^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{3 \, 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^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{3 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{3 \, a \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^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)} b c x}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} - \frac{9 \, 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^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{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^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{3 \, 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^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{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^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{9 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{3 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}}"," ",0,"3*b*arcsin(c*x)*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 3*b*arcsin(c*x)*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 3*a*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 3*a*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + (c^2*x^2 - 1)*b*c*x/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 9/4*b*arcsin(c*x)*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 1/4*b*arcsin(c*x)*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 3/4*b*arcsin(c*x)*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 1/4*b*arcsin(c*x)*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 9/4*a*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 1/4*a*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 3/4*a*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 1/4*a*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2)","B",0
384,1,290,0,1.036645," ","integrate((-c^2*x^2+1)^(1/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{2 \, 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^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{2 \, 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^{3} c \arcsin\left(c x\right) + a b^{2} c} + \frac{2 \, a \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^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{2 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} + \frac{b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} + \frac{{\left(c^{2} x^{2} - 1\right)} b}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} + \frac{a \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c}"," ",0,"2*b*arcsin(c*x)*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) - 2*b*arcsin(c*x)*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + 2*a*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) - 2*a*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + b*arcsin(c*x)*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + (c^2*x^2 - 1)*b/(b^3*c*arcsin(c*x) + a*b^2*c) + a*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c)","B",0
385,-2,0,0,0.000000," ","integrate((-c^2*x^2+1)^(1/2)/x/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
386,0,0,0,0.000000," ","integrate((-c^2*x^2+1)^(1/2)/x^2/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{\sqrt{-c^{2} x^{2} + 1}}{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(sqrt(-c^2*x^2 + 1)/((b*arcsin(c*x) + a)^2*x^2), x)","F",0
387,-2,0,0,0.000000," ","integrate((-c^2*x^2+1)^(1/2)/x^3/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
388,0,0,0,0.000000," ","integrate((-c^2*x^2+1)^(1/2)/x^4/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{\sqrt{-c^{2} x^{2} + 1}}{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{4}}\,{d x}"," ",0,"integrate(sqrt(-c^2*x^2 + 1)/((b*arcsin(c*x) + a)^2*x^4), x)","F",0
389,-2,0,0,0.000000," ","integrate(x^m*(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
390,1,2065,0,1.124530," ","integrate(x^3*(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{7 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{7} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}} - \frac{7 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{6} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}} - \frac{7 \, a \cos\left(\frac{a}{b}\right)^{7} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}} - \frac{7 \, a \cos\left(\frac{a}{b}\right)^{6} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}} + \frac{49 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{5 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{35 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{5 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{49 \, a \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{5 \, a \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{35 \, a \cos\left(\frac{a}{b}\right)^{4} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{5 \, a \cos\left(\frac{a}{b}\right)^{4} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b c x}{b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}} - \frac{49 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{25 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{9 \, 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)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{21 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{15 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{9 \, 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)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b c x}{b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}} - \frac{49 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{25 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{9 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{21 \, a \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{15 \, a \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{9 \, a \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)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{49 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{25 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{27 \, 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)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{3 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{7 \, b \arcsin\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{5 \, b \arcsin\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{9 \, 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)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{3 \, b \arcsin\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{49 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{25 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{27 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{3 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{7 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{5 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{9 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{3 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}}"," ",0,"-7*b*arcsin(c*x)*cos(a/b)^7*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 7*b*arcsin(c*x)*cos(a/b)^6*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 7*a*cos(a/b)^7*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 7*a*cos(a/b)^6*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 49/4*b*arcsin(c*x)*cos(a/b)^5*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 5/4*b*arcsin(c*x)*cos(a/b)^5*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 35/4*b*arcsin(c*x)*cos(a/b)^4*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 5/4*b*arcsin(c*x)*cos(a/b)^4*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 49/4*a*cos(a/b)^5*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 5/4*a*cos(a/b)^5*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 35/4*a*cos(a/b)^4*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 5/4*a*cos(a/b)^4*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - (c^2*x^2 - 1)^3*b*c*x/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 49/8*b*arcsin(c*x)*cos(a/b)^3*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 25/16*b*arcsin(c*x)*cos(a/b)^3*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 9/16*b*arcsin(c*x)*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 21/8*b*arcsin(c*x)*cos(a/b)^2*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 15/16*b*arcsin(c*x)*cos(a/b)^2*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 9/16*b*arcsin(c*x)*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - (c^2*x^2 - 1)^2*b*c*x/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 49/8*a*cos(a/b)^3*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 25/16*a*cos(a/b)^3*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 9/16*a*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 21/8*a*cos(a/b)^2*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 15/16*a*cos(a/b)^2*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 9/16*a*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 49/64*b*arcsin(c*x)*cos(a/b)*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 25/64*b*arcsin(c*x)*cos(a/b)*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 27/64*b*arcsin(c*x)*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 3/64*b*arcsin(c*x)*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 7/64*b*arcsin(c*x)*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 5/64*b*arcsin(c*x)*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 9/64*b*arcsin(c*x)*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 3/64*b*arcsin(c*x)*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 49/64*a*cos(a/b)*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 25/64*a*cos(a/b)*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 27/64*a*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 3/64*a*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 7/64*a*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 5/64*a*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 9/64*a*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 3/64*a*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4)","B",0
391,1,1553,0,0.691792," ","integrate(x^2*(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{6 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \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{6 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{6} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{6 \, a \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \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{6 \, a \cos\left(\frac{a}{b}\right)^{6} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{6 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \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{2 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{9 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{2 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{6 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \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{2 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{9 \, a \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{2 \, a \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{9 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, {\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{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{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)}{8 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{27 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{2 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{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)}{8 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{9 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, {\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{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{a \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)}{8 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{27 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{2 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{3 \, b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \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) \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{3 \, a \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{a \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \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 \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}}"," ",0,"-6*b*arcsin(c*x)*cos(a/b)^5*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 6*b*arcsin(c*x)*cos(a/b)^6*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 6*a*cos(a/b)^5*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 6*a*cos(a/b)^6*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 6*b*arcsin(c*x)*cos(a/b)^3*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 2*b*arcsin(c*x)*cos(a/b)^3*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 9*b*arcsin(c*x)*cos(a/b)^4*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 2*b*arcsin(c*x)*cos(a/b)^4*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 6*a*cos(a/b)^3*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 2*a*cos(a/b)^3*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 9*a*cos(a/b)^4*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 2*a*cos(a/b)^4*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 9/8*b*arcsin(c*x)*cos(a/b)*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + b*arcsin(c*x)*cos(a/b)*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/8*b*arcsin(c*x)*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 27/8*b*arcsin(c*x)*cos(a/b)^2*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 2*b*arcsin(c*x)*cos(a/b)^2*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 1/8*b*arcsin(c*x)*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - (c^2*x^2 - 1)^3*b/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 9/8*a*cos(a/b)*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + a*cos(a/b)*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/8*a*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 27/8*a*cos(a/b)^2*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 2*a*cos(a/b)^2*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 1/8*a*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - (c^2*x^2 - 1)^2*b/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 3/16*b*arcsin(c*x)*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/4*b*arcsin(c*x)*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/16*b*arcsin(c*x)*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 3/16*a*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/4*a*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/16*a*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3)","B",0
392,1,1215,0,1.105734," ","integrate(x*(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{5 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{5 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{5 \, a \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{5 \, a \cos\left(\frac{a}{b}\right)^{4} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} - \frac{25 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{9 \, 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)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{15 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{9 \, 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)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b c x}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} - \frac{25 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{9 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{15 \, a \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{9 \, a \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)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{25 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{27 \, 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)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{5 \, b \arcsin\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{9 \, 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)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{b \arcsin\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{25 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{27 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{5 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{9 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}}"," ",0,"5*b*arcsin(c*x)*cos(a/b)^5*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 5*b*arcsin(c*x)*cos(a/b)^4*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 5*a*cos(a/b)^5*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 5*a*cos(a/b)^4*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 25/4*b*arcsin(c*x)*cos(a/b)^3*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 9/4*b*arcsin(c*x)*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 15/4*b*arcsin(c*x)*cos(a/b)^2*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 9/4*b*arcsin(c*x)*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - (c^2*x^2 - 1)^2*b*c*x/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 25/4*a*cos(a/b)^3*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 9/4*a*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 15/4*a*cos(a/b)^2*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 9/4*a*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 25/16*b*arcsin(c*x)*cos(a/b)*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 27/16*b*arcsin(c*x)*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 1/8*b*arcsin(c*x)*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 5/16*b*arcsin(c*x)*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 9/16*b*arcsin(c*x)*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 1/8*b*arcsin(c*x)*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 25/16*a*cos(a/b)*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 27/16*a*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 1/8*a*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 5/16*a*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 9/16*a*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 1/8*a*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2)","B",0
393,1,747,0,1.472692," ","integrate((-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{4 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{4 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} + \frac{4 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{4 \, a \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{2 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{2 \, 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^{3} c \arcsin\left(c x\right) + a b^{2} c} + \frac{4 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{2 \, 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^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{2 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{2 \, a \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^{3} c \arcsin\left(c x\right) + a b^{2} c} + \frac{4 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{2 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} + \frac{b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{a \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} + \frac{a \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c}"," ",0,"4*b*arcsin(c*x)*cos(a/b)^3*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) - 4*b*arcsin(c*x)*cos(a/b)^4*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + 4*a*cos(a/b)^3*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) - 4*a*cos(a/b)^4*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - 2*b*arcsin(c*x)*cos(a/b)*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) + 2*b*arcsin(c*x)*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) + 4*b*arcsin(c*x)*cos(a/b)^2*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - 2*b*arcsin(c*x)*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - 2*a*cos(a/b)*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) + 2*a*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) + 4*a*cos(a/b)^2*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - 2*a*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - (c^2*x^2 - 1)^2*b/(b^3*c*arcsin(c*x) + a*b^2*c) - 1/2*b*arcsin(c*x)*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + b*arcsin(c*x)*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - 1/2*a*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + a*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c)","B",0
394,-2,0,0,0.000000," ","integrate((-c^2*x^2+1)^(3/2)/x/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
395,0,0,0,0.000000," ","integrate((-c^2*x^2+1)^(3/2)/x^2/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((-c^2*x^2 + 1)^(3/2)/((b*arcsin(c*x) + a)^2*x^2), x)","F",0
396,-2,0,0,0.000000," ","integrate((-c^2*x^2+1)^(3/2)/x^3/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
397,0,0,0,0.000000," ","integrate((-c^2*x^2+1)^(3/2)/x^4/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{4}}\,{d x}"," ",0,"integrate((-c^2*x^2 + 1)^(3/2)/((b*arcsin(c*x) + a)^2*x^4), x)","F",0
398,-2,0,0,0.000000," ","integrate(x^m*(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
399,1,2479,0,0.655826," ","integrate(x^3*(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{9 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{9} \operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}} - \frac{9 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{8} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}} - \frac{9 \, a \cos\left(\frac{a}{b}\right)^{9} \operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}} - \frac{9 \, a \cos\left(\frac{a}{b}\right)^{8} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}} + \frac{81 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{7} \operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{21 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{7} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{63 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{6} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{21 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{6} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{81 \, a \cos\left(\frac{a}{b}\right)^{7} \operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{21 \, a \cos\left(\frac{a}{b}\right)^{7} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{63 \, a \cos\left(\frac{a}{b}\right)^{6} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{21 \, a \cos\left(\frac{a}{b}\right)^{6} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{243 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{147 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{135 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{105 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b c x}{b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}} - \frac{243 \, a \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{147 \, a \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{135 \, a \cos\left(\frac{a}{b}\right)^{4} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{105 \, a \cos\left(\frac{a}{b}\right)^{4} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b c x}{b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}} + \frac{135 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{32 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{147 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{32 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{3 \, 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)}{8 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{45 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{32 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{63 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{32 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{3 \, 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)}{8 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{135 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{32 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{147 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{32 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{3 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{45 \, a \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{32 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{63 \, a \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{32 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{3 \, a \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)}{8 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{81 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{256 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{147 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{256 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{9 \, 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)}{32 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{3 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{128 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{9 \, b \arcsin\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{256 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{21 \, b \arcsin\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{256 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{3 \, 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)}{32 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{3 \, b \arcsin\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{128 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{81 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{256 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{147 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{256 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{9 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{32 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{3 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{128 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{9 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{9 \, a}{b} + 9 \, \arcsin\left(c x\right)\right)}{256 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{21 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{256 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} - \frac{3 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{32 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}} + \frac{3 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{128 \, {\left(b^{3} c^{4} \arcsin\left(c x\right) + a b^{2} c^{4}\right)}}"," ",0,"-9*b*arcsin(c*x)*cos(a/b)^9*cos_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 9*b*arcsin(c*x)*cos(a/b)^8*sin(a/b)*sin_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 9*a*cos(a/b)^9*cos_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 9*a*cos(a/b)^8*sin(a/b)*sin_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 81/4*b*arcsin(c*x)*cos(a/b)^7*cos_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 21/4*b*arcsin(c*x)*cos(a/b)^7*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 63/4*b*arcsin(c*x)*cos(a/b)^6*sin(a/b)*sin_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 21/4*b*arcsin(c*x)*cos(a/b)^6*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 81/4*a*cos(a/b)^7*cos_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 21/4*a*cos(a/b)^7*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 63/4*a*cos(a/b)^6*sin(a/b)*sin_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 21/4*a*cos(a/b)^6*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 243/16*b*arcsin(c*x)*cos(a/b)^5*cos_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 147/16*b*arcsin(c*x)*cos(a/b)^5*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 135/16*b*arcsin(c*x)*cos(a/b)^4*sin(a/b)*sin_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 105/16*b*arcsin(c*x)*cos(a/b)^4*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + (c^2*x^2 - 1)^4*b*c*x/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 243/16*a*cos(a/b)^5*cos_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 147/16*a*cos(a/b)^5*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 135/16*a*cos(a/b)^4*sin(a/b)*sin_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 105/16*a*cos(a/b)^4*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + (c^2*x^2 - 1)^3*b*c*x/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 135/32*b*arcsin(c*x)*cos(a/b)^3*cos_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 147/32*b*arcsin(c*x)*cos(a/b)^3*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 3/8*b*arcsin(c*x)*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 45/32*b*arcsin(c*x)*cos(a/b)^2*sin(a/b)*sin_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 63/32*b*arcsin(c*x)*cos(a/b)^2*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 3/8*b*arcsin(c*x)*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 135/32*a*cos(a/b)^3*cos_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 147/32*a*cos(a/b)^3*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 3/8*a*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 45/32*a*cos(a/b)^2*sin(a/b)*sin_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 63/32*a*cos(a/b)^2*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 3/8*a*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 81/256*b*arcsin(c*x)*cos(a/b)*cos_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 147/256*b*arcsin(c*x)*cos(a/b)*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 9/32*b*arcsin(c*x)*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 3/128*b*arcsin(c*x)*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 9/256*b*arcsin(c*x)*sin(a/b)*sin_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 21/256*b*arcsin(c*x)*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 3/32*b*arcsin(c*x)*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 3/128*b*arcsin(c*x)*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 81/256*a*cos(a/b)*cos_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 147/256*a*cos(a/b)*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 9/32*a*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 3/128*a*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 9/256*a*sin(a/b)*sin_integral(9*a/b + 9*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 21/256*a*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) - 3/32*a*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4) + 3/128*a*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^4*arcsin(c*x) + a*b^2*c^4)","B",0
400,1,2461,0,0.689132," ","integrate(x^2*(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","-\frac{8 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{7} \operatorname{Ci}\left(\frac{8 \, a}{b} + 8 \, \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{8 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{8} \operatorname{Si}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{8 \, a \cos\left(\frac{a}{b}\right)^{7} \operatorname{Ci}\left(\frac{8 \, a}{b} + 8 \, \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{8 \, a \cos\left(\frac{a}{b}\right)^{8} \operatorname{Si}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{12 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{8 \, a}{b} + 8 \, \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{6 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \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{16 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{6} \operatorname{Si}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{6 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{6} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{12 \, a \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{8 \, a}{b} + 8 \, \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{6 \, a \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \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{16 \, a \cos\left(\frac{a}{b}\right)^{6} \operatorname{Si}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{6 \, a \cos\left(\frac{a}{b}\right)^{6} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{5 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{8 \, a}{b} + 8 \, \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{6 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \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{b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{10 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{9 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{5 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{8 \, a}{b} + 8 \, \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{6 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \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{a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{10 \, a \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{9 \, a \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{a \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{2 \, {\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{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, {\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{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{2 \, {\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{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{2 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{27 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{8 \, {\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)^{2} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{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)}{8 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{2 \, {\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{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, {\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{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{2 \, {\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{Ci}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{2 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{27 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{3 \, b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{a \operatorname{Si}\left(\frac{8 \, a}{b} + 8 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{3 \, a \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{a \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{a \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}\right)}}"," ",0,"-8*b*arcsin(c*x)*cos(a/b)^7*cos_integral(8*a/b + 8*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 8*b*arcsin(c*x)*cos(a/b)^8*sin_integral(8*a/b + 8*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 8*a*cos(a/b)^7*cos_integral(8*a/b + 8*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 8*a*cos(a/b)^8*sin_integral(8*a/b + 8*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 12*b*arcsin(c*x)*cos(a/b)^5*cos_integral(8*a/b + 8*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 6*b*arcsin(c*x)*cos(a/b)^5*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 16*b*arcsin(c*x)*cos(a/b)^6*sin_integral(8*a/b + 8*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 6*b*arcsin(c*x)*cos(a/b)^6*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 12*a*cos(a/b)^5*cos_integral(8*a/b + 8*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 6*a*cos(a/b)^5*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 16*a*cos(a/b)^6*sin_integral(8*a/b + 8*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 6*a*cos(a/b)^6*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 5*b*arcsin(c*x)*cos(a/b)^3*cos_integral(8*a/b + 8*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 6*b*arcsin(c*x)*cos(a/b)^3*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - b*arcsin(c*x)*cos(a/b)^3*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 10*b*arcsin(c*x)*cos(a/b)^4*sin_integral(8*a/b + 8*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 9*b*arcsin(c*x)*cos(a/b)^4*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + b*arcsin(c*x)*cos(a/b)^4*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 5*a*cos(a/b)^3*cos_integral(8*a/b + 8*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 6*a*cos(a/b)^3*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - a*cos(a/b)^3*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 10*a*cos(a/b)^4*sin_integral(8*a/b + 8*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 9*a*cos(a/b)^4*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + a*cos(a/b)^4*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + (c^2*x^2 - 1)^4*b/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/2*b*arcsin(c*x)*cos(a/b)*cos_integral(8*a/b + 8*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 9/8*b*arcsin(c*x)*cos(a/b)*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/2*b*arcsin(c*x)*cos(a/b)*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/8*b*arcsin(c*x)*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 2*b*arcsin(c*x)*cos(a/b)^2*sin_integral(8*a/b + 8*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 27/8*b*arcsin(c*x)*cos(a/b)^2*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - b*arcsin(c*x)*cos(a/b)^2*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 1/8*b*arcsin(c*x)*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + (c^2*x^2 - 1)^3*b/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/2*a*cos(a/b)*cos_integral(8*a/b + 8*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 9/8*a*cos(a/b)*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/2*a*cos(a/b)*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/8*a*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 2*a*cos(a/b)^2*sin_integral(8*a/b + 8*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 27/8*a*cos(a/b)^2*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - a*cos(a/b)^2*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 1/8*a*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/16*b*arcsin(c*x)*sin_integral(8*a/b + 8*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 3/16*b*arcsin(c*x)*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/8*b*arcsin(c*x)*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/16*b*arcsin(c*x)*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/16*a*sin_integral(8*a/b + 8*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 3/16*a*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/8*a*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 1/16*a*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3)","B",0
401,1,2026,0,1.269707," ","integrate(x*(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{7 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{7} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{7 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{6} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{7 \, a \cos\left(\frac{a}{b}\right)^{7} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{7 \, a \cos\left(\frac{a}{b}\right)^{6} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} - \frac{49 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{25 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{35 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{25 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{49 \, a \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{25 \, a \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{35 \, a \cos\left(\frac{a}{b}\right)^{4} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{25 \, a \cos\left(\frac{a}{b}\right)^{4} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b c x}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{49 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{125 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{27 \, 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)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{21 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{75 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{27 \, 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)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{49 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{125 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{27 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{21 \, a \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{75 \, a \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{27 \, a \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)}{16 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{49 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{125 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{81 \, 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)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{5 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{7 \, b \arcsin\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{25 \, b \arcsin\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{27 \, 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)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{5 \, b \arcsin\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{49 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{125 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{81 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{5 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{7 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{7 \, a}{b} + 7 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{25 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} - \frac{27 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}} + \frac{5 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{64 \, {\left(b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}\right)}}"," ",0,"7*b*arcsin(c*x)*cos(a/b)^7*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 7*b*arcsin(c*x)*cos(a/b)^6*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 7*a*cos(a/b)^7*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 7*a*cos(a/b)^6*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 49/4*b*arcsin(c*x)*cos(a/b)^5*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 25/4*b*arcsin(c*x)*cos(a/b)^5*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 35/4*b*arcsin(c*x)*cos(a/b)^4*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 25/4*b*arcsin(c*x)*cos(a/b)^4*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 49/4*a*cos(a/b)^5*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 25/4*a*cos(a/b)^5*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 35/4*a*cos(a/b)^4*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 25/4*a*cos(a/b)^4*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + (c^2*x^2 - 1)^3*b*c*x/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 49/8*b*arcsin(c*x)*cos(a/b)^3*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 125/16*b*arcsin(c*x)*cos(a/b)^3*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 27/16*b*arcsin(c*x)*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 21/8*b*arcsin(c*x)*cos(a/b)^2*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 75/16*b*arcsin(c*x)*cos(a/b)^2*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 27/16*b*arcsin(c*x)*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 49/8*a*cos(a/b)^3*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 125/16*a*cos(a/b)^3*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 27/16*a*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 21/8*a*cos(a/b)^2*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 75/16*a*cos(a/b)^2*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 27/16*a*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 49/64*b*arcsin(c*x)*cos(a/b)*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 125/64*b*arcsin(c*x)*cos(a/b)*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 81/64*b*arcsin(c*x)*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 5/64*b*arcsin(c*x)*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 7/64*b*arcsin(c*x)*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 25/64*b*arcsin(c*x)*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 27/64*b*arcsin(c*x)*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 5/64*b*arcsin(c*x)*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 49/64*a*cos(a/b)*cos_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 125/64*a*cos(a/b)*cos_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 81/64*a*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 5/64*a*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 7/64*a*sin(a/b)*sin_integral(7*a/b + 7*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 25/64*a*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - 27/64*a*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + 5/64*a*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2)","B",0
402,1,1394,0,0.749164," ","integrate((-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{6 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \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{6 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{6} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} + \frac{6 \, a \cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \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{6 \, a \cos\left(\frac{a}{b}\right)^{6} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{6 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \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{6 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{9 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{6 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{6 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \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{6 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{9 \, a \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{6 \, a \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} + \frac{9 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} - \frac{3 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{15 \, 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)}{8 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} - \frac{27 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} + \frac{6 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{15 \, 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)}{8 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} + \frac{9 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} - \frac{3 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \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{15 \, a \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)}{8 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} - \frac{27 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} + \frac{6 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c \arcsin\left(c x\right) + a b^{2} c} - \frac{15 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} + \frac{3 \, b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} - \frac{3 \, b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} + \frac{15 \, b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} + \frac{3 \, a \operatorname{Si}\left(\frac{6 \, a}{b} + 6 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} - \frac{3 \, a \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}} + \frac{15 \, a \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c \arcsin\left(c x\right) + a b^{2} c\right)}}"," ",0,"6*b*arcsin(c*x)*cos(a/b)^5*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) - 6*b*arcsin(c*x)*cos(a/b)^6*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + 6*a*cos(a/b)^5*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) - 6*a*cos(a/b)^6*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - 6*b*arcsin(c*x)*cos(a/b)^3*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) + 6*b*arcsin(c*x)*cos(a/b)^3*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) + 9*b*arcsin(c*x)*cos(a/b)^4*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - 6*b*arcsin(c*x)*cos(a/b)^4*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - 6*a*cos(a/b)^3*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) + 6*a*cos(a/b)^3*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) + 9*a*cos(a/b)^4*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - 6*a*cos(a/b)^4*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + 9/8*b*arcsin(c*x)*cos(a/b)*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) - 3*b*arcsin(c*x)*cos(a/b)*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) + 15/8*b*arcsin(c*x)*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) - 27/8*b*arcsin(c*x)*cos(a/b)^2*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + 6*b*arcsin(c*x)*cos(a/b)^2*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - 15/8*b*arcsin(c*x)*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + (c^2*x^2 - 1)^3*b/(b^3*c*arcsin(c*x) + a*b^2*c) + 9/8*a*cos(a/b)*cos_integral(6*a/b + 6*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) - 3*a*cos(a/b)*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) + 15/8*a*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^3*c*arcsin(c*x) + a*b^2*c) - 27/8*a*cos(a/b)^2*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + 6*a*cos(a/b)^2*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - 15/8*a*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + 3/16*b*arcsin(c*x)*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - 3/4*b*arcsin(c*x)*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + 15/16*b*arcsin(c*x)*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + 3/16*a*sin_integral(6*a/b + 6*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) - 3/4*a*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c) + 15/16*a*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c*arcsin(c*x) + a*b^2*c)","B",0
403,-2,0,0,0.000000," ","integrate((-c^2*x^2+1)^(5/2)/x/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
404,0,0,0,0.000000," ","integrate((-c^2*x^2+1)^(5/2)/x^2/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{5}{2}}}{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((-c^2*x^2 + 1)^(5/2)/((b*arcsin(c*x) + a)^2*x^2), x)","F",0
405,-2,0,0,0.000000," ","integrate((-c^2*x^2+1)^(5/2)/x^3/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
406,0,0,0,0.000000," ","integrate((-c^2*x^2+1)^(5/2)/x^4/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{5}{2}}}{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{4}}\,{d x}"," ",0,"integrate((-c^2*x^2 + 1)^(5/2)/((b*arcsin(c*x) + a)^2*x^4), x)","F",0
407,0,0,0,0.000000," ","integrate(x^m/(a+b*arcsin(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m}}{\sqrt{-c^{2} x^{2} + 1} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^m/(sqrt(-c^2*x^2 + 1)*(b*arcsin(c*x) + a)^2), x)","F",0
408,-2,0,0,0.000000," ","integrate(x^5/(a+b*arcsin(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
409,1,876,0,0.904768," ","integrate(x^4/(a+b*arcsin(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{4 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{4 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} + \frac{4 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{4 \, a \cos\left(\frac{a}{b}\right)^{4} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{2 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{2 \, 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^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} + \frac{4 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} + \frac{2 \, 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^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{2 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{2 \, a \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^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} + \frac{4 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} + \frac{2 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)} b}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{a \operatorname{Si}\left(\frac{4 \, a}{b} + 4 \, \arcsin\left(c x\right)\right)}{2 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{a \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{b}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}}"," ",0,"4*b*arcsin(c*x)*cos(a/b)^3*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 4*b*arcsin(c*x)*cos(a/b)^4*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 4*a*cos(a/b)^3*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 4*a*cos(a/b)^4*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 2*b*arcsin(c*x)*cos(a/b)*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 2*b*arcsin(c*x)*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 4*b*arcsin(c*x)*cos(a/b)^2*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 2*b*arcsin(c*x)*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 2*a*cos(a/b)*cos_integral(4*a/b + 4*arcsin(c*x))*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 2*a*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 4*a*cos(a/b)^2*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 2*a*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - (c^2*x^2 - 1)^2*b/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 1/2*b*arcsin(c*x)*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - b*arcsin(c*x)*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 2*(c^2*x^2 - 1)*b/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 1/2*a*sin_integral(4*a/b + 4*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - a*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - b/(b^3*c^5*arcsin(c*x) + a*b^2*c^5)","B",0
410,-2,0,0,0.000000," ","integrate(x^3/(a+b*arcsin(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
411,1,346,0,0.680905," ","integrate(x^2/(a+b*arcsin(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{2 \, 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^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{2 \, 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^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{2 \, a \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^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{2 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{b \arcsin\left(c x\right) \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{{\left(c^{2} x^{2} - 1\right)} b}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{a \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arcsin\left(c x\right)\right)}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{b}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}}"," ",0,"-2*b*arcsin(c*x)*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 2*b*arcsin(c*x)*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 2*a*cos(a/b)*cos_integral(2*a/b + 2*arcsin(c*x))*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 2*a*cos(a/b)^2*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - b*arcsin(c*x)*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - (c^2*x^2 - 1)*b/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - a*sin_integral(2*a/b + 2*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - b/(b^3*c^3*arcsin(c*x) + a*b^2*c^3)","B",0
412,1,200,0,0.500553," ","integrate(x/(a+b*arcsin(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{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^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{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^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} - \frac{b c x}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}} + \frac{a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{b^{3} c^{2} \arcsin\left(c x\right) + a b^{2} c^{2}}"," ",0,"b*arcsin(c*x)*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + b*arcsin(c*x)*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) - b*c*x/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + a*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2) + a*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^2*arcsin(c*x) + a*b^2*c^2)","B",0
413,1,18,0,0.521773," ","integrate(1/(a+b*arcsin(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{1}{b^{2} c \arcsin\left(c x\right) + a b c}"," ",0,"-1/(b^2*c*arcsin(c*x) + a*b*c)","A",0
414,-2,0,0,0.000000," ","integrate(1/x/(a+b*arcsin(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
415,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arcsin(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-c^{2} x^{2} + 1} {\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(-c^2*x^2 + 1)*(b*arcsin(c*x) + a)^2*x^2), x)","F",0
416,0,0,0,0.000000," ","integrate(x^m/(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{x^{m}}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^m/((-c^2*x^2 + 1)^(3/2)*(b*arcsin(c*x) + a)^2), x)","F",0
417,-2,0,0,0.000000," ","integrate(x^3/(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
418,0,0,0,0.000000," ","integrate(x^2/(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^2/((-c^2*x^2 + 1)^(3/2)*(b*arcsin(c*x) + a)^2), x)","F",0
419,-2,0,0,0.000000," ","integrate(x/(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
420,0,0,0,0.000000," ","integrate(1/(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((-c^2*x^2 + 1)^(3/2)*(b*arcsin(c*x) + a)^2), x)","F",0
421,-2,0,0,0.000000," ","integrate(1/x/(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
422,0,0,0,0.000000," ","integrate(1/x^2/(-c^2*x^2+1)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/((-c^2*x^2 + 1)^(3/2)*(b*arcsin(c*x) + a)^2*x^2), x)","F",0
423,0,0,0,0.000000," ","integrate(x^m/(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{x^{m}}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^m/((-c^2*x^2 + 1)^(5/2)*(b*arcsin(c*x) + a)^2), x)","F",0
424,-2,0,0,0.000000," ","integrate(x^3/(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
425,0,0,0,0.000000," ","integrate(x^2/(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^2/((-c^2*x^2 + 1)^(5/2)*(b*arcsin(c*x) + a)^2), x)","F",0
426,-2,0,0,0.000000," ","integrate(x/(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
427,0,0,0,0.000000," ","integrate(1/(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((-c^2*x^2 + 1)^(5/2)*(b*arcsin(c*x) + a)^2), x)","F",0
428,-2,0,0,0.000000," ","integrate(1/x/(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
429,0,0,0,0.000000," ","integrate(1/x^2/(-c^2*x^2+1)^(5/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(-c^{2} x^{2} + 1\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/((-c^2*x^2 + 1)^(5/2)*(b*arcsin(c*x) + a)^2*x^2), x)","F",0
430,1,11,0,0.641159," ","integrate(1/arcsin(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{1}{2 \, a \arcsin\left(a x\right)^{2}}"," ",0,"-1/2/(a*arcsin(a*x)^2)","A",0
431,0,0,0,0.000000," ","integrate(x^3*(-c^2*d*x^2+d)/(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\int -\frac{{\left(c^{2} d x^{2} - d\right)} x^{3}}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)*x^3/(b*arcsin(c*x) + a)^(3/2), x)","F",0
432,0,0,0,0.000000," ","integrate(x^2*(-c^2*d*x^2+d)/(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\int -\frac{{\left(c^{2} d x^{2} - d\right)} x^{2}}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)*x^2/(b*arcsin(c*x) + a)^(3/2), x)","F",0
433,0,0,0,0.000000," ","integrate(x*(-c^2*d*x^2+d)/(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\int -\frac{{\left(c^{2} d x^{2} - d\right)} x}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)*x/(b*arcsin(c*x) + a)^(3/2), x)","F",0
434,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)/(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\int -\frac{c^{2} d x^{2} - d}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(-(c^2*d*x^2 - d)/(b*arcsin(c*x) + a)^(3/2), x)","F",0
435,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)/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
436,0,0,0,0.000000," ","integrate(x^3*(-c^2*d*x^2+d)^2/(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(c^{2} d x^{2} - d\right)}^{2} x^{3}}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c^2*d*x^2 - d)^2*x^3/(b*arcsin(c*x) + a)^(3/2), x)","F",0
437,0,0,0,0.000000," ","integrate(x^2*(-c^2*d*x^2+d)^2/(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(c^{2} d x^{2} - d\right)}^{2} x^{2}}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c^2*d*x^2 - d)^2*x^2/(b*arcsin(c*x) + a)^(3/2), x)","F",0
438,0,0,0,0.000000," ","integrate(x*(-c^2*d*x^2+d)^2/(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(c^{2} d x^{2} - d\right)}^{2} x}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c^2*d*x^2 - d)^2*x/(b*arcsin(c*x) + a)^(3/2), x)","F",0
439,0,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^2/(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(c^{2} d x^{2} - d\right)}^{2}}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c^2*d*x^2 - d)^2/(b*arcsin(c*x) + a)^(3/2), x)","F",0
440,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^2/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
441,1,46,0,0.808584," ","integrate(x*arcsin(x)^(3/2)/(-x^2+1)^2-3/8*x/(-x^2+1)/arcsin(x)^(1/2),x, algorithm=""giac"")","-\frac{x^{2} \arcsin\left(x\right)^{\frac{3}{2}}}{2 \, {\left(x^{2} - 1\right)}} + \frac{1}{2} \, \arcsin\left(x\right)^{\frac{3}{2}} + \frac{3 \, \sqrt{-x^{2} + 1} x \sqrt{\arcsin\left(x\right)}}{4 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/2*x^2*arcsin(x)^(3/2)/(x^2 - 1) + 1/2*arcsin(x)^(3/2) + 3/4*sqrt(-x^2 + 1)*x*sqrt(arcsin(x))/(x^2 - 1)","A",0
442,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
443,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(1/2)*arcsin(a*x)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
444,0,0,0,0.000000," ","integrate(arcsin(a*x)^(1/2)/(-a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{\arcsin\left(a x\right)}}{\sqrt{-a^{2} c x^{2} + c}}\,{d x}"," ",0,"integrate(sqrt(arcsin(a*x))/sqrt(-a^2*c*x^2 + c), x)","F",0
445,0,0,0,0.000000," ","integrate(arcsin(a*x)^(1/2)/(-a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{\arcsin\left(a x\right)}}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(arcsin(a*x))/(-a^2*c*x^2 + c)^(3/2), x)","F",0
446,0,0,0,0.000000," ","integrate(arcsin(a*x)^(1/2)/(-a^2*c*x^2+c)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{\arcsin\left(a x\right)}}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(arcsin(a*x))/(-a^2*c*x^2 + c)^(5/2), x)","F",0
447,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
448,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(1/2)*arcsin(a*x)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
449,0,0,0,0.000000," ","integrate(arcsin(a*x)^(3/2)/(-a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{\frac{3}{2}}}{\sqrt{-a^{2} c x^{2} + c}}\,{d x}"," ",0,"integrate(arcsin(a*x)^(3/2)/sqrt(-a^2*c*x^2 + c), x)","F",0
450,0,0,0,0.000000," ","integrate(arcsin(a*x)^(3/2)/(-a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{\frac{3}{2}}}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(arcsin(a*x)^(3/2)/(-a^2*c*x^2 + c)^(3/2), x)","F",0
451,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
452,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(1/2)*arcsin(a*x)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
453,0,0,0,0.000000," ","integrate(arcsin(a*x)^(5/2)/(-a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{\frac{5}{2}}}{\sqrt{-a^{2} c x^{2} + c}}\,{d x}"," ",0,"integrate(arcsin(a*x)^(5/2)/sqrt(-a^2*c*x^2 + c), x)","F",0
454,0,0,0,0.000000," ","integrate(arcsin(a*x)^(5/2)/(-a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{\frac{5}{2}}}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(arcsin(a*x)^(5/2)/(-a^2*c*x^2 + c)^(3/2), x)","F",0
455,0,0,0,0.000000," ","integrate((a^2-x^2)^(3/2)*arcsin(x/a)^(1/2),x, algorithm=""giac"")","\int {\left(a^{2} - x^{2}\right)}^{\frac{3}{2}} \sqrt{\arcsin\left(\frac{x}{a}\right)}\,{d x}"," ",0,"integrate((a^2 - x^2)^(3/2)*sqrt(arcsin(x/a)), x)","F",0
456,0,0,0,0.000000," ","integrate((a^2-x^2)^(1/2)*arcsin(x/a)^(1/2),x, algorithm=""giac"")","\int \sqrt{a^{2} - x^{2}} \sqrt{\arcsin\left(\frac{x}{a}\right)}\,{d x}"," ",0,"integrate(sqrt(a^2 - x^2)*sqrt(arcsin(x/a)), x)","F",0
457,1,15,0,0.301755," ","integrate(arcsin(x/a)^(1/2)/(a^2-x^2)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left| a \right|} \arcsin\left(\frac{x}{a}\right)^{\frac{3}{2}}}{3 \, a}"," ",0,"2/3*abs(a)*arcsin(x/a)^(3/2)/a","A",0
458,0,0,0,0.000000," ","integrate(arcsin(x/a)^(1/2)/(a^2-x^2)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{\arcsin\left(\frac{x}{a}\right)}}{{\left(a^{2} - x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(arcsin(x/a))/(a^2 - x^2)^(3/2), x)","F",0
459,0,0,0,0.000000," ","integrate(arcsin(x/a)^(1/2)/(a^2-x^2)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{\arcsin\left(\frac{x}{a}\right)}}{{\left(a^{2} - x^{2}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(arcsin(x/a))/(a^2 - x^2)^(5/2), x)","F",0
460,0,0,0,0.000000," ","integrate((a^2-x^2)^(3/2)*arcsin(x/a)^(3/2),x, algorithm=""giac"")","\int {\left(a^{2} - x^{2}\right)}^{\frac{3}{2}} \arcsin\left(\frac{x}{a}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a^2 - x^2)^(3/2)*arcsin(x/a)^(3/2), x)","F",0
461,0,0,0,0.000000," ","integrate((a^2-x^2)^(1/2)*arcsin(x/a)^(3/2),x, algorithm=""giac"")","\int \sqrt{a^{2} - x^{2}} \arcsin\left(\frac{x}{a}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(a^2 - x^2)*arcsin(x/a)^(3/2), x)","F",0
462,1,15,0,0.315569," ","integrate(arcsin(x/a)^(3/2)/(a^2-x^2)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left| a \right|} \arcsin\left(\frac{x}{a}\right)^{\frac{5}{2}}}{5 \, a}"," ",0,"2/5*abs(a)*arcsin(x/a)^(5/2)/a","A",0
463,0,0,0,0.000000," ","integrate(arcsin(x/a)^(3/2)/(a^2-x^2)^(3/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(\frac{x}{a}\right)^{\frac{3}{2}}}{{\left(a^{2} - x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(arcsin(x/a)^(3/2)/(a^2 - x^2)^(3/2), x)","F",0
464,1,37,0,0.768961," ","integrate(x/(-x^2+1)^(1/2)/arcsin(x)^(1/2),x, algorithm=""giac"")","\left(\frac{1}{4} i - \frac{1}{4}\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(x\right)}\right) - \left(\frac{1}{4} i + \frac{1}{4}\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} \sqrt{\arcsin\left(x\right)}\right)"," ",0,"(1/4*I - 1/4)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*sqrt(arcsin(x))) - (1/4*I + 1/4)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*sqrt(arcsin(x)))","C",0
465,0,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-a^{2} c x^{2} + c\right)}^{\frac{5}{2}}}{\sqrt{\arcsin\left(a x\right)}}\,{d x}"," ",0,"integrate((-a^2*c*x^2 + c)^(5/2)/sqrt(arcsin(a*x)), x)","F",0
466,0,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-a^{2} c x^{2} + c\right)}^{\frac{3}{2}}}{\sqrt{\arcsin\left(a x\right)}}\,{d x}"," ",0,"integrate((-a^2*c*x^2 + c)^(3/2)/sqrt(arcsin(a*x)), x)","F",0
467,0,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(1/2)/arcsin(a*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{-a^{2} c x^{2} + c}}{\sqrt{\arcsin\left(a x\right)}}\,{d x}"," ",0,"integrate(sqrt(-a^2*c*x^2 + c)/sqrt(arcsin(a*x)), x)","F",0
468,0,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(1/2)/arcsin(a*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-a^{2} c x^{2} + c} \sqrt{\arcsin\left(a x\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(-a^2*c*x^2 + c)*sqrt(arcsin(a*x))), x)","F",0
469,0,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{3}{2}} \sqrt{\arcsin\left(a x\right)}}\,{d x}"," ",0,"integrate(1/((-a^2*c*x^2 + c)^(3/2)*sqrt(arcsin(a*x))), x)","F",0
470,0,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{5}{2}} \sqrt{\arcsin\left(a x\right)}}\,{d x}"," ",0,"integrate(1/((-a^2*c*x^2 + c)^(5/2)*sqrt(arcsin(a*x))), x)","F",0
471,0,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-a^{2} c x^{2} + c\right)}^{\frac{5}{2}}}{\arcsin\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-a^2*c*x^2 + c)^(5/2)/arcsin(a*x)^(3/2), x)","F",0
472,0,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-a^{2} c x^{2} + c\right)}^{\frac{3}{2}}}{\arcsin\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-a^2*c*x^2 + c)^(3/2)/arcsin(a*x)^(3/2), x)","F",0
473,0,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(1/2)/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{-a^{2} c x^{2} + c}}{\arcsin\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(-a^2*c*x^2 + c)/arcsin(a*x)^(3/2), x)","F",0
474,0,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(1/2)/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-a^{2} c x^{2} + c} \arcsin\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-a^2*c*x^2 + c)*arcsin(a*x)^(3/2)), x)","F",0
475,0,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{3}{2}} \arcsin\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((-a^2*c*x^2 + c)^(3/2)*arcsin(a*x)^(3/2)), x)","F",0
476,0,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{5}{2}} \arcsin\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((-a^2*c*x^2 + c)^(5/2)*arcsin(a*x)^(3/2)), x)","F",0
477,0,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(-a^{2} c x^{2} + c\right)}^{\frac{3}{2}}}{\arcsin\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-a^2*c*x^2 + c)^(3/2)/arcsin(a*x)^(5/2), x)","F",0
478,0,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(1/2)/arcsin(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{-a^{2} c x^{2} + c}}{\arcsin\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(-a^2*c*x^2 + c)/arcsin(a*x)^(5/2), x)","F",0
479,0,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(1/2)/arcsin(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-a^{2} c x^{2} + c} \arcsin\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-a^2*c*x^2 + c)*arcsin(a*x)^(5/2)), x)","F",0
480,0,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{3}{2}} \arcsin\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((-a^2*c*x^2 + c)^(3/2)*arcsin(a*x)^(5/2)), x)","F",0
481,0,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(-a^{2} c x^{2} + c\right)}^{\frac{5}{2}} \arcsin\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((-a^2*c*x^2 + c)^(5/2)*arcsin(a*x)^(5/2)), x)","F",0
482,0,0,0,0.000000," ","integrate(x^2*(-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^n,x, algorithm=""giac"")","\int \sqrt{-c^{2} d x^{2} + d} {\left(b \arcsin\left(c x\right) + a\right)}^{n} x^{2}\,{d x}"," ",0,"integrate(sqrt(-c^2*d*x^2 + d)*(b*arcsin(c*x) + a)^n*x^2, x)","F",0
483,-2,0,0,0.000000," ","integrate(x*(-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^n,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
484,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^n,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
485,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^n/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
486,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^n/x^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
487,0,0,0,0.000000," ","integrate(x^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^n,x, algorithm=""giac"")","\int {\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{n} x^{2}\,{d x}"," ",0,"integrate((-c^2*d*x^2 + d)^(3/2)*(b*arcsin(c*x) + a)^n*x^2, x)","F",0
488,-2,0,0,0.000000," ","integrate(x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^n,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
489,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^n,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
490,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^n/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
491,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^n/x^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
492,0,0,0,0.000000," ","integrate(x^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^n,x, algorithm=""giac"")","\int {\left(-c^{2} d x^{2} + d\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{n} x^{2}\,{d x}"," ",0,"integrate((-c^2*d*x^2 + d)^(5/2)*(b*arcsin(c*x) + a)^n*x^2, x)","F",0
493,-2,0,0,0.000000," ","integrate(x*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^n,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
494,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^n,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
495,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^n/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
496,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^n/x^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
497,-1,0,0,0.000000," ","integrate(x^m*arcsin(a*x)^n/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
498,-2,0,0,0.000000," ","integrate(x^3*arcsin(a*x)^n/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
499,0,0,0,0.000000," ","integrate(x^2*arcsin(a*x)^n/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{x^{2} \arcsin\left(a x\right)^{n}}{\sqrt{-a^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate(x^2*arcsin(a*x)^n/sqrt(-a^2*x^2 + 1), x)","F",0
500,0,0,0,0.000000," ","integrate(x*arcsin(a*x)^n/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{x \arcsin\left(a x\right)^{n}}{\sqrt{-a^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate(x*arcsin(a*x)^n/sqrt(-a^2*x^2 + 1), x)","F",0
501,1,17,0,0.404895," ","integrate(arcsin(a*x)^n/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{\arcsin\left(a x\right)^{n + 1}}{a {\left(n + 1\right)}}"," ",0,"arcsin(a*x)^(n + 1)/(a*(n + 1))","A",0
502,0,0,0,0.000000," ","integrate(arcsin(a*x)^n/x/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{n}}{\sqrt{-a^{2} x^{2} + 1} x}\,{d x}"," ",0,"integrate(arcsin(a*x)^n/(sqrt(-a^2*x^2 + 1)*x), x)","F",0
503,0,0,0,0.000000," ","integrate(arcsin(a*x)^n/x^2/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\arcsin\left(a x\right)^{n}}{\sqrt{-a^{2} x^{2} + 1} x^{2}}\,{d x}"," ",0,"integrate(arcsin(a*x)^n/(sqrt(-a^2*x^2 + 1)*x^2), x)","F",0
504,0,0,0,0.000000," ","integrate((c*d*x+d)^(5/2)*(a+b*arcsin(c*x))*(-c*f*x+f)^(1/2),x, algorithm=""giac"")","\int {\left(c d x + d\right)}^{\frac{5}{2}} \sqrt{-c f x + f} {\left(b \arcsin\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate((c*d*x + d)^(5/2)*sqrt(-c*f*x + f)*(b*arcsin(c*x) + a), x)","F",0
505,0,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(a+b*arcsin(c*x))*(-c*f*x+f)^(1/2),x, algorithm=""giac"")","\int {\left(c d x + d\right)}^{\frac{3}{2}} \sqrt{-c f x + f} {\left(b \arcsin\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate((c*d*x + d)^(3/2)*sqrt(-c*f*x + f)*(b*arcsin(c*x) + a), x)","F",0
506,0,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(a+b*arcsin(c*x))*(-c*f*x+f)^(1/2),x, algorithm=""giac"")","\int \sqrt{c d x + d} \sqrt{-c f x + f} {\left(b \arcsin\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(c*d*x + d)*sqrt(-c*f*x + f)*(b*arcsin(c*x) + a), x)","F",0
507,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))*(-c*f*x+f)^(1/2)/(c*d*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{-c f x + f} {\left(b \arcsin\left(c x\right) + a\right)}}{\sqrt{c d x + d}}\,{d x}"," ",0,"integrate(sqrt(-c*f*x + f)*(b*arcsin(c*x) + a)/sqrt(c*d*x + d), x)","F",0
508,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))*(-c*f*x+f)^(1/2)/(c*d*x+d)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{-c f x + f} {\left(b \arcsin\left(c x\right) + a\right)}}{{\left(c d x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(-c*f*x + f)*(b*arcsin(c*x) + a)/(c*d*x + d)^(3/2), x)","F",0
509,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))*(-c*f*x+f)^(1/2)/(c*d*x+d)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{-c f x + f} {\left(b \arcsin\left(c x\right) + a\right)}}{{\left(c d x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(-c*f*x + f)*(b*arcsin(c*x) + a)/(c*d*x + d)^(5/2), x)","F",0
510,0,0,0,0.000000," ","integrate((c*d*x+d)^(5/2)*(-c*f*x+f)^(3/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int {\left(c d x + d\right)}^{\frac{5}{2}} {\left(-c f x + f\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate((c*d*x + d)^(5/2)*(-c*f*x + f)^(3/2)*(b*arcsin(c*x) + a), x)","F",0
511,0,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(-c*f*x+f)^(3/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int {\left(c d x + d\right)}^{\frac{3}{2}} {\left(-c f x + f\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate((c*d*x + d)^(3/2)*(-c*f*x + f)^(3/2)*(b*arcsin(c*x) + a), x)","F",0
512,0,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(-c*f*x+f)^(3/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \sqrt{c d x + d} {\left(-c f x + f\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(c*d*x + d)*(-c*f*x + f)^(3/2)*(b*arcsin(c*x) + a), x)","F",0
513,0,0,0,0.000000," ","integrate((-c*f*x+f)^(3/2)*(a+b*arcsin(c*x))/(c*d*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-c f x + f\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}{\sqrt{c d x + d}}\,{d x}"," ",0,"integrate((-c*f*x + f)^(3/2)*(b*arcsin(c*x) + a)/sqrt(c*d*x + d), x)","F",0
514,0,0,0,0.000000," ","integrate((-c*f*x+f)^(3/2)*(a+b*arcsin(c*x))/(c*d*x+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-c f x + f\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}{{\left(c d x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-c*f*x + f)^(3/2)*(b*arcsin(c*x) + a)/(c*d*x + d)^(3/2), x)","F",0
515,0,0,0,0.000000," ","integrate((-c*f*x+f)^(3/2)*(a+b*arcsin(c*x))/(c*d*x+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(-c f x + f\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}{{\left(c d x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-c*f*x + f)^(3/2)*(b*arcsin(c*x) + a)/(c*d*x + d)^(5/2), x)","F",0
516,0,0,0,0.000000," ","integrate((c*d*x+d)^(5/2)*(-c*f*x+f)^(5/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int {\left(c d x + d\right)}^{\frac{5}{2}} {\left(-c f x + f\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate((c*d*x + d)^(5/2)*(-c*f*x + f)^(5/2)*(b*arcsin(c*x) + a), x)","F",0
517,0,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(-c*f*x+f)^(5/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int {\left(c d x + d\right)}^{\frac{3}{2}} {\left(-c f x + f\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate((c*d*x + d)^(3/2)*(-c*f*x + f)^(5/2)*(b*arcsin(c*x) + a), x)","F",0
518,0,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(-c*f*x+f)^(5/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \sqrt{c d x + d} {\left(-c f x + f\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(c*d*x + d)*(-c*f*x + f)^(5/2)*(b*arcsin(c*x) + a), x)","F",0
519,0,0,0,0.000000," ","integrate((-c*f*x+f)^(5/2)*(a+b*arcsin(c*x))/(c*d*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-c f x + f\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}{\sqrt{c d x + d}}\,{d x}"," ",0,"integrate((-c*f*x + f)^(5/2)*(b*arcsin(c*x) + a)/sqrt(c*d*x + d), x)","F",0
520,0,0,0,0.000000," ","integrate((-c*f*x+f)^(5/2)*(a+b*arcsin(c*x))/(c*d*x+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-c f x + f\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}{{\left(c d x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-c*f*x + f)^(5/2)*(b*arcsin(c*x) + a)/(c*d*x + d)^(3/2), x)","F",0
521,0,0,0,0.000000," ","integrate((-c*f*x+f)^(5/2)*(a+b*arcsin(c*x))/(c*d*x+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(-c f x + f\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}{{\left(c d x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-c*f*x + f)^(5/2)*(b*arcsin(c*x) + a)/(c*d*x + d)^(5/2), x)","F",0
522,0,0,0,0.000000," ","integrate((c*d*x+d)^(5/2)*(a+b*arcsin(c*x))/(-c*f*x+f)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(c d x + d\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}{\sqrt{-c f x + f}}\,{d x}"," ",0,"integrate((c*d*x + d)^(5/2)*(b*arcsin(c*x) + a)/sqrt(-c*f*x + f), x)","F",0
523,0,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(a+b*arcsin(c*x))/(-c*f*x+f)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}{\sqrt{-c f x + f}}\,{d x}"," ",0,"integrate((c*d*x + d)^(3/2)*(b*arcsin(c*x) + a)/sqrt(-c*f*x + f), x)","F",0
524,0,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(a+b*arcsin(c*x))/(-c*f*x+f)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{c d x + d} {\left(b \arcsin\left(c x\right) + a\right)}}{\sqrt{-c f x + f}}\,{d x}"," ",0,"integrate(sqrt(c*d*x + d)*(b*arcsin(c*x) + a)/sqrt(-c*f*x + f), x)","F",0
525,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(c*d*x+d)^(1/2)/(-c*f*x+f)^(1/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{\sqrt{c d x + d} \sqrt{-c f x + f}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/(sqrt(c*d*x + d)*sqrt(-c*f*x + f)), x)","F",0
526,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(c*d*x+d)^(3/2)/(-c*f*x+f)^(1/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(c d x + d\right)}^{\frac{3}{2}} \sqrt{-c f x + f}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((c*d*x + d)^(3/2)*sqrt(-c*f*x + f)), x)","F",0
527,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(c*d*x+d)^(5/2)/(-c*f*x+f)^(1/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(c d x + d\right)}^{\frac{5}{2}} \sqrt{-c f x + f}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((c*d*x + d)^(5/2)*sqrt(-c*f*x + f)), x)","F",0
528,0,0,0,0.000000," ","integrate((c*d*x+d)^(5/2)*(a+b*arcsin(c*x))/(-c*f*x+f)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(c d x + d\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}{{\left(-c f x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*d*x + d)^(5/2)*(b*arcsin(c*x) + a)/(-c*f*x + f)^(3/2), x)","F",0
529,0,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(a+b*arcsin(c*x))/(-c*f*x+f)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}{{\left(-c f x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*d*x + d)^(3/2)*(b*arcsin(c*x) + a)/(-c*f*x + f)^(3/2), x)","F",0
530,0,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(a+b*arcsin(c*x))/(-c*f*x+f)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{c d x + d} {\left(b \arcsin\left(c x\right) + a\right)}}{{\left(-c f x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*d*x + d)*(b*arcsin(c*x) + a)/(-c*f*x + f)^(3/2), x)","F",0
531,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(c*d*x+d)^(1/2)/(-c*f*x+f)^(3/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{\sqrt{c d x + d} {\left(-c f x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/(sqrt(c*d*x + d)*(-c*f*x + f)^(3/2)), x)","F",0
532,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(c*d*x+d)^(3/2)/(-c*f*x+f)^(3/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(-c f x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((c*d*x + d)^(3/2)*(-c*f*x + f)^(3/2)), x)","F",0
533,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(c*d*x+d)^(5/2)/(-c*f*x+f)^(3/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(c d x + d\right)}^{\frac{5}{2}} {\left(-c f x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((c*d*x + d)^(5/2)*(-c*f*x + f)^(3/2)), x)","F",0
534,0,0,0,0.000000," ","integrate((c*d*x+d)^(5/2)*(a+b*arcsin(c*x))/(-c*f*x+f)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(c d x + d\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}{{\left(-c f x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*d*x + d)^(5/2)*(b*arcsin(c*x) + a)/(-c*f*x + f)^(5/2), x)","F",0
535,0,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(a+b*arcsin(c*x))/(-c*f*x+f)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}{{\left(-c f x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*d*x + d)^(3/2)*(b*arcsin(c*x) + a)/(-c*f*x + f)^(5/2), x)","F",0
536,0,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(a+b*arcsin(c*x))/(-c*f*x+f)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{c d x + d} {\left(b \arcsin\left(c x\right) + a\right)}}{{\left(-c f x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*d*x + d)*(b*arcsin(c*x) + a)/(-c*f*x + f)^(5/2), x)","F",0
537,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(c*d*x+d)^(1/2)/(-c*f*x+f)^(5/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{\sqrt{c d x + d} {\left(-c f x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/(sqrt(c*d*x + d)*(-c*f*x + f)^(5/2)), x)","F",0
538,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(c*d*x+d)^(3/2)/(-c*f*x+f)^(5/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(-c f x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((c*d*x + d)^(3/2)*(-c*f*x + f)^(5/2)), x)","F",0
539,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(c*d*x+d)^(5/2)/(-c*f*x+f)^(5/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(c d x + d\right)}^{\frac{5}{2}} {\left(-c f x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((c*d*x + d)^(5/2)*(-c*f*x + f)^(5/2)), x)","F",0
540,-2,0,0,0.000000," ","integrate((c*d*x+d)^(5/2)*(a+b*arcsin(c*x))^2*(-c*e*x+e)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
541,-2,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(a+b*arcsin(c*x))^2*(-c*e*x+e)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
542,-2,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(-c*e*x+e)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
543,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2*(-c*e*x+e)^(1/2)/(c*d*x+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
544,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2*(-c*e*x+e)^(1/2)/(c*d*x+d)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{-c e x + e} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(-c*e*x + e)*(b*arcsin(c*x) + a)^2/(c*d*x + d)^(3/2), x)","F",0
545,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2*(-c*e*x+e)^(1/2)/(c*d*x+d)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{-c e x + e} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(-c*e*x + e)*(b*arcsin(c*x) + a)^2/(c*d*x + d)^(5/2), x)","F",0
546,-2,0,0,0.000000," ","integrate((c*d*x+d)^(5/2)*(-c*e*x+e)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
547,-2,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(-c*e*x+e)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
548,-2,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(-c*e*x+e)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
549,-2,0,0,0.000000," ","integrate((-c*e*x+e)^(3/2)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
550,0,0,0,0.000000," ","integrate((-c*e*x+e)^(3/2)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-c e x + e\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-c*e*x + e)^(3/2)*(b*arcsin(c*x) + a)^2/(c*d*x + d)^(3/2), x)","F",0
551,0,0,0,0.000000," ","integrate((-c*e*x+e)^(3/2)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(-c e x + e\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-c*e*x + e)^(3/2)*(b*arcsin(c*x) + a)^2/(c*d*x + d)^(5/2), x)","F",0
552,-2,0,0,0.000000," ","integrate((c*d*x+d)^(5/2)*(-c*e*x+e)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
553,-2,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(-c*e*x+e)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
554,-2,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(-c*e*x+e)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
555,-2,0,0,0.000000," ","integrate((-c*e*x+e)^(5/2)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
556,0,0,0,0.000000," ","integrate((-c*e*x+e)^(5/2)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-c e x + e\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-c*e*x + e)^(5/2)*(b*arcsin(c*x) + a)^2/(c*d*x + d)^(3/2), x)","F",0
557,0,0,0,0.000000," ","integrate((-c*e*x+e)^(5/2)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(-c e x + e\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-c*e*x + e)^(5/2)*(b*arcsin(c*x) + a)^2/(c*d*x + d)^(5/2), x)","F",0
558,0,0,0,0.000000," ","integrate((c*d*x+d)^(5/2)*(a+b*arcsin(c*x))^2/(-c*e*x+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(c d x + d\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{\sqrt{-c e x + e}}\,{d x}"," ",0,"integrate((c*d*x + d)^(5/2)*(b*arcsin(c*x) + a)^2/sqrt(-c*e*x + e), x)","F",0
559,0,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(a+b*arcsin(c*x))^2/(-c*e*x+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{\sqrt{-c e x + e}}\,{d x}"," ",0,"integrate((c*d*x + d)^(3/2)*(b*arcsin(c*x) + a)^2/sqrt(-c*e*x + e), x)","F",0
560,0,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(a+b*arcsin(c*x))^2/(-c*e*x+e)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{c d x + d} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{\sqrt{-c e x + e}}\,{d x}"," ",0,"integrate(sqrt(c*d*x + d)*(b*arcsin(c*x) + a)^2/sqrt(-c*e*x + e), x)","F",0
561,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(c*d*x+d)^(1/2)/(-c*e*x+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{\sqrt{c d x + d} \sqrt{-c e x + e}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/(sqrt(c*d*x + d)*sqrt(-c*e*x + e)), x)","F",0
562,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2)/(-c*e*x+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{3}{2}} \sqrt{-c e x + e}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((c*d*x + d)^(3/2)*sqrt(-c*e*x + e)), x)","F",0
563,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2)/(-c*e*x+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{5}{2}} \sqrt{-c e x + e}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((c*d*x + d)^(5/2)*sqrt(-c*e*x + e)), x)","F",0
564,0,0,0,0.000000," ","integrate((c*d*x+d)^(5/2)*(a+b*arcsin(c*x))^2/(-c*e*x+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(c d x + d\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c e x + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*d*x + d)^(5/2)*(b*arcsin(c*x) + a)^2/(-c*e*x + e)^(3/2), x)","F",0
565,0,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(a+b*arcsin(c*x))^2/(-c*e*x+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c e x + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*d*x + d)^(3/2)*(b*arcsin(c*x) + a)^2/(-c*e*x + e)^(3/2), x)","F",0
566,0,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(a+b*arcsin(c*x))^2/(-c*e*x+e)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{c d x + d} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c e x + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*d*x + d)*(b*arcsin(c*x) + a)^2/(-c*e*x + e)^(3/2), x)","F",0
567,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(c*d*x+d)^(1/2)/(-c*e*x+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{\sqrt{c d x + d} {\left(-c e x + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/(sqrt(c*d*x + d)*(-c*e*x + e)^(3/2)), x)","F",0
568,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(-c e x + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((c*d*x + d)^(3/2)*(-c*e*x + e)^(3/2)), x)","F",0
569,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2)/(-c*e*x+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{5}{2}} {\left(-c e x + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((c*d*x + d)^(5/2)*(-c*e*x + e)^(3/2)), x)","F",0
570,0,0,0,0.000000," ","integrate((c*d*x+d)^(5/2)*(a+b*arcsin(c*x))^2/(-c*e*x+e)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(c d x + d\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c e x + e\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*d*x + d)^(5/2)*(b*arcsin(c*x) + a)^2/(-c*e*x + e)^(5/2), x)","F",0
571,0,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(a+b*arcsin(c*x))^2/(-c*e*x+e)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c e x + e\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*d*x + d)^(3/2)*(b*arcsin(c*x) + a)^2/(-c*e*x + e)^(5/2), x)","F",0
572,0,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(a+b*arcsin(c*x))^2/(-c*e*x+e)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{c d x + d} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(-c e x + e\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*d*x + d)*(b*arcsin(c*x) + a)^2/(-c*e*x + e)^(5/2), x)","F",0
573,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(c*d*x+d)^(1/2)/(-c*e*x+e)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{\sqrt{c d x + d} {\left(-c e x + e\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/(sqrt(c*d*x + d)*(-c*e*x + e)^(5/2)), x)","F",0
574,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2)/(-c*e*x+e)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(-c e x + e\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((c*d*x + d)^(3/2)*(-c*e*x + e)^(5/2)), x)","F",0
575,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{5}{2}} {\left(-c e x + e\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((c*d*x + d)^(5/2)*(-c*e*x + e)^(5/2)), x)","F",0
576,-2,0,0,0.000000," ","integrate(x^2*(c*d*x+d)^(1/2)*(-c*e*x+e)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
577,-2,0,0,0.000000," ","integrate(x*(c*d*x+d)^(1/2)*(-c*e*x+e)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
578,-2,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(-c*e*x+e)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
579,0,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(-c*e*x+e)^(1/2)*(a+b*arcsin(c*x))^2/x,x, algorithm=""giac"")","\int \frac{\sqrt{c d x + d} \sqrt{-c e x + e} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate(sqrt(c*d*x + d)*sqrt(-c*e*x + e)*(b*arcsin(c*x) + a)^2/x, x)","F",0
580,0,0,0,0.000000," ","integrate((c*d*x+d)^(1/2)*(-c*e*x+e)^(1/2)*(a+b*arcsin(c*x))^2/x^2,x, algorithm=""giac"")","\int \frac{\sqrt{c d x + d} \sqrt{-c e x + e} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(c*d*x + d)*sqrt(-c*e*x + e)*(b*arcsin(c*x) + a)^2/x^2, x)","F",0
581,-2,0,0,0.000000," ","integrate(x^2*(c*d*x+d)^(3/2)*(-c*e*x+e)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
582,-2,0,0,0.000000," ","integrate(x*(c*d*x+d)^(3/2)*(-c*e*x+e)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
583,-2,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(-c*e*x+e)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
584,0,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(-c*e*x+e)^(3/2)*(a+b*arcsin(c*x))^2/x,x, algorithm=""giac"")","\int \frac{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(-c e x + e\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((c*d*x + d)^(3/2)*(-c*e*x + e)^(3/2)*(b*arcsin(c*x) + a)^2/x, x)","F",0
585,0,0,0,0.000000," ","integrate((c*d*x+d)^(3/2)*(-c*e*x+e)^(3/2)*(a+b*arcsin(c*x))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(-c e x + e\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((c*d*x + d)^(3/2)*(-c*e*x + e)^(3/2)*(b*arcsin(c*x) + a)^2/x^2, x)","F",0
586,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))^2/(c*d*x+d)^(1/2)/(-c*e*x+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}}{\sqrt{c d x + d} \sqrt{-c e x + e}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x^2/(sqrt(c*d*x + d)*sqrt(-c*e*x + e)), x)","F",0
587,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))^2/(c*d*x+d)^(1/2)/(-c*e*x+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x}{\sqrt{c d x + d} \sqrt{-c e x + e}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x/(sqrt(c*d*x + d)*sqrt(-c*e*x + e)), x)","F",0
588,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(c*d*x+d)^(1/2)/(-c*e*x+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{\sqrt{c d x + d} \sqrt{-c e x + e}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/(sqrt(c*d*x + d)*sqrt(-c*e*x + e)), x)","F",0
589,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x/(c*d*x+d)^(1/2)/(-c*e*x+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{\sqrt{c d x + d} \sqrt{-c e x + e} x}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/(sqrt(c*d*x + d)*sqrt(-c*e*x + e)*x), x)","F",0
590,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^2/(c*d*x+d)^(1/2)/(-c*e*x+e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{\sqrt{c d x + d} \sqrt{-c e x + e} x^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/(sqrt(c*d*x + d)*sqrt(-c*e*x + e)*x^2), x)","F",0
591,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x^{2}}{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(-c e x + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x^2/((c*d*x + d)^(3/2)*(-c*e*x + e)^(3/2)), x)","F",0
592,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2} x}{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(-c e x + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2*x/((c*d*x + d)^(3/2)*(-c*e*x + e)^(3/2)), x)","F",0
593,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(-c e x + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((c*d*x + d)^(3/2)*(-c*e*x + e)^(3/2)), x)","F",0
594,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(-c e x + e\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((c*d*x + d)^(3/2)*(-c*e*x + e)^(3/2)*x), x)","F",0
595,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/x^2/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(c d x + d\right)}^{\frac{3}{2}} {\left(-c e x + e\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/((c*d*x + d)^(3/2)*(-c*e*x + e)^(3/2)*x^2), x)","F",0
596,1,325,0,0.415348," ","integrate(x^4*(e*x^2+d)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{7} \, a x^{7} e + \frac{1}{5} \, a d x^{5} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b d x \arcsin\left(c x\right)}{5 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)} b d x \arcsin\left(c x\right)}{5 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b x \arcsin\left(c x\right) e}{7 \, c^{6}} + \frac{b d x \arcsin\left(c x\right)}{5 \, c^{4}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} b x \arcsin\left(c x\right) e}{7 \, c^{6}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d}{25 \, c^{5}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)} b x \arcsin\left(c x\right) e}{7 \, c^{6}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d}{15 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b e}{49 \, c^{7}} + \frac{b x \arcsin\left(c x\right) e}{7 \, c^{6}} + \frac{\sqrt{-c^{2} x^{2} + 1} b d}{5 \, c^{5}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b e}{35 \, c^{7}} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b e}{7 \, c^{7}} + \frac{\sqrt{-c^{2} x^{2} + 1} b e}{7 \, c^{7}}"," ",0,"1/7*a*x^7*e + 1/5*a*d*x^5 + 1/5*(c^2*x^2 - 1)^2*b*d*x*arcsin(c*x)/c^4 + 2/5*(c^2*x^2 - 1)*b*d*x*arcsin(c*x)/c^4 + 1/7*(c^2*x^2 - 1)^3*b*x*arcsin(c*x)*e/c^6 + 1/5*b*d*x*arcsin(c*x)/c^4 + 3/7*(c^2*x^2 - 1)^2*b*x*arcsin(c*x)*e/c^6 + 1/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d/c^5 + 3/7*(c^2*x^2 - 1)*b*x*arcsin(c*x)*e/c^6 - 2/15*(-c^2*x^2 + 1)^(3/2)*b*d/c^5 + 1/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*e/c^7 + 1/7*b*x*arcsin(c*x)*e/c^6 + 1/5*sqrt(-c^2*x^2 + 1)*b*d/c^5 + 3/35*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*e/c^7 - 1/7*(-c^2*x^2 + 1)^(3/2)*b*e/c^7 + 1/7*sqrt(-c^2*x^2 + 1)*b*e/c^7","B",0
597,1,262,0,0.291462," ","integrate(x^3*(e*x^2+d)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{6} \, a x^{6} e + \frac{1}{4} \, a d x^{4} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d x}{16 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b d \arcsin\left(c x\right)}{4 \, c^{4}} + \frac{5 \, \sqrt{-c^{2} x^{2} + 1} b d x}{32 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b x e}{36 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)} b d \arcsin\left(c x\right)}{2 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b \arcsin\left(c x\right) e}{6 \, c^{6}} - \frac{13 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b x e}{144 \, c^{5}} + \frac{5 \, b d \arcsin\left(c x\right)}{32 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b \arcsin\left(c x\right) e}{2 \, c^{6}} + \frac{11 \, \sqrt{-c^{2} x^{2} + 1} b x e}{96 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)} b \arcsin\left(c x\right) e}{2 \, c^{6}} + \frac{11 \, b \arcsin\left(c x\right) e}{96 \, c^{6}}"," ",0,"1/6*a*x^6*e + 1/4*a*d*x^4 - 1/16*(-c^2*x^2 + 1)^(3/2)*b*d*x/c^3 + 1/4*(c^2*x^2 - 1)^2*b*d*arcsin(c*x)/c^4 + 5/32*sqrt(-c^2*x^2 + 1)*b*d*x/c^3 + 1/36*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*x*e/c^5 + 1/2*(c^2*x^2 - 1)*b*d*arcsin(c*x)/c^4 + 1/6*(c^2*x^2 - 1)^3*b*arcsin(c*x)*e/c^6 - 13/144*(-c^2*x^2 + 1)^(3/2)*b*x*e/c^5 + 5/32*b*d*arcsin(c*x)/c^4 + 1/2*(c^2*x^2 - 1)^2*b*arcsin(c*x)*e/c^6 + 11/96*sqrt(-c^2*x^2 + 1)*b*x*e/c^5 + 1/2*(c^2*x^2 - 1)*b*arcsin(c*x)*e/c^6 + 11/96*b*arcsin(c*x)*e/c^6","A",0
598,1,217,0,0.460942," ","integrate(x^2*(e*x^2+d)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{5} \, a x^{5} e + \frac{1}{3} \, a d x^{3} + \frac{{\left(c^{2} x^{2} - 1\right)} b d x \arcsin\left(c x\right)}{3 \, c^{2}} + \frac{b d x \arcsin\left(c x\right)}{3 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b x \arcsin\left(c x\right) e}{5 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)} b x \arcsin\left(c x\right) e}{5 \, c^{4}} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d}{9 \, c^{3}} + \frac{b x \arcsin\left(c x\right) e}{5 \, c^{4}} + \frac{\sqrt{-c^{2} x^{2} + 1} b d}{3 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b e}{25 \, c^{5}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b e}{15 \, c^{5}} + \frac{\sqrt{-c^{2} x^{2} + 1} b e}{5 \, c^{5}}"," ",0,"1/5*a*x^5*e + 1/3*a*d*x^3 + 1/3*(c^2*x^2 - 1)*b*d*x*arcsin(c*x)/c^2 + 1/3*b*d*x*arcsin(c*x)/c^2 + 1/5*(c^2*x^2 - 1)^2*b*x*arcsin(c*x)*e/c^4 + 2/5*(c^2*x^2 - 1)*b*x*arcsin(c*x)*e/c^4 - 1/9*(-c^2*x^2 + 1)^(3/2)*b*d/c^3 + 1/5*b*x*arcsin(c*x)*e/c^4 + 1/3*sqrt(-c^2*x^2 + 1)*b*d/c^3 + 1/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*e/c^5 - 2/15*(-c^2*x^2 + 1)^(3/2)*b*e/c^5 + 1/5*sqrt(-c^2*x^2 + 1)*b*e/c^5","B",0
599,1,174,0,0.324506," ","integrate(x*(e*x^2+d)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{4} \, a x^{4} e + \frac{\sqrt{-c^{2} x^{2} + 1} b d x}{4 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)} b d \arcsin\left(c x\right)}{2 \, c^{2}} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b x e}{16 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)} a d}{2 \, c^{2}} + \frac{b d \arcsin\left(c x\right)}{4 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b \arcsin\left(c x\right) e}{4 \, c^{4}} + \frac{5 \, \sqrt{-c^{2} x^{2} + 1} b x e}{32 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)} b \arcsin\left(c x\right) e}{2 \, c^{4}} + \frac{5 \, b \arcsin\left(c x\right) e}{32 \, c^{4}}"," ",0,"1/4*a*x^4*e + 1/4*sqrt(-c^2*x^2 + 1)*b*d*x/c + 1/2*(c^2*x^2 - 1)*b*d*arcsin(c*x)/c^2 - 1/16*(-c^2*x^2 + 1)^(3/2)*b*x*e/c^3 + 1/2*(c^2*x^2 - 1)*a*d/c^2 + 1/4*b*d*arcsin(c*x)/c^2 + 1/4*(c^2*x^2 - 1)^2*b*arcsin(c*x)*e/c^4 + 5/32*sqrt(-c^2*x^2 + 1)*b*x*e/c^3 + 1/2*(c^2*x^2 - 1)*b*arcsin(c*x)*e/c^4 + 5/32*b*arcsin(c*x)*e/c^4","A",0
600,1,114,0,0.276575," ","integrate((e*x^2+d)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{3} \, a x^{3} e + b d x \arcsin\left(c x\right) + a d x + \frac{{\left(c^{2} x^{2} - 1\right)} b x \arcsin\left(c x\right) e}{3 \, c^{2}} + \frac{b x \arcsin\left(c x\right) e}{3 \, c^{2}} + \frac{\sqrt{-c^{2} x^{2} + 1} b d}{c} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b e}{9 \, c^{3}} + \frac{\sqrt{-c^{2} x^{2} + 1} b e}{3 \, c^{3}}"," ",0,"1/3*a*x^3*e + b*d*x*arcsin(c*x) + a*d*x + 1/3*(c^2*x^2 - 1)*b*x*arcsin(c*x)*e/c^2 + 1/3*b*x*arcsin(c*x)*e/c^2 + sqrt(-c^2*x^2 + 1)*b*d/c - 1/9*(-c^2*x^2 + 1)^(3/2)*b*e/c^3 + 1/3*sqrt(-c^2*x^2 + 1)*b*e/c^3","A",0
601,0,0,0,0.000000," ","integrate((e*x^2+d)*(a+b*arcsin(c*x))/x,x, algorithm=""giac"")","\int \frac{{\left(e x^{2} + d\right)} {\left(b \arcsin\left(c x\right) + a\right)}}{x}\,{d x}"," ",0,"integrate((e*x^2 + d)*(b*arcsin(c*x) + a)/x, x)","F",0
602,1,1036,0,1.705120," ","integrate((e*x^2+d)*(a+b*arcsin(c*x))/x^2,x, algorithm=""giac"")","-\frac{b c^{6} d x^{4} \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{2} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{a c^{6} d x^{4}}{2 \, {\left(\frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{2} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{b c^{5} d x^{3} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{2} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{b c^{5} d x^{3} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{2} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{b c^{4} d x^{2} \arcsin\left(c x\right)}{{\left(\frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{2} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{a c^{4} d x^{2}}{{\left(\frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{2} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} + \frac{b c^{3} d x \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{2} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c^{3} d x \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{2} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c^{2} d \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{2} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)}} - \frac{b c^{3} x^{3} e}{{\left(\frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{2} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{2 \, b c^{2} x^{2} \arcsin\left(c x\right) e}{{\left(\frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{2} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{a c^{2} d}{2 \, {\left(\frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{2} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)}} + \frac{2 \, a c^{2} x^{2} e}{{\left(\frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{2} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} + \frac{b c x e}{{\left(\frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{2} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}}"," ",0,"-1/2*b*c^6*d*x^4*arcsin(c*x)/((c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^2*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) - 1/2*a*c^6*d*x^4/((c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^2*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) + b*c^5*d*x^3*log(abs(c)*abs(x))/((c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^2*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) - b*c^5*d*x^3*log(sqrt(-c^2*x^2 + 1) + 1)/((c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^2*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) - b*c^4*d*x^2*arcsin(c*x)/((c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^2*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) - a*c^4*d*x^2/((c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^2*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) + b*c^3*d*x*log(abs(c)*abs(x))/((c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^2*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - b*c^3*d*x*log(sqrt(-c^2*x^2 + 1) + 1)/((c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^2*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - 1/2*b*c^2*d*arcsin(c*x)/(c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^2*x/(sqrt(-c^2*x^2 + 1) + 1)) - b*c^3*x^3*e/((c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^2*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) + 2*b*c^2*x^2*arcsin(c*x)*e/((c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^2*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) - 1/2*a*c^2*d/(c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^2*x/(sqrt(-c^2*x^2 + 1) + 1)) + 2*a*c^2*x^2*e/((c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^2*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) + b*c*x*e/((c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^2*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1))","B",0
603,0,0,0,0.000000," ","integrate((e*x^2+d)*(a+b*arcsin(c*x))/x^3,x, algorithm=""giac"")","\int \frac{{\left(e x^{2} + d\right)} {\left(b \arcsin\left(c x\right) + a\right)}}{x^{3}}\,{d x}"," ",0,"integrate((e*x^2 + d)*(b*arcsin(c*x) + a)/x^3, x)","F",0
604,1,430,0,4.164901," ","integrate((e*x^2+d)*(a+b*arcsin(c*x))/x^4,x, algorithm=""giac"")","-\frac{b c^{6} d x^{3} \arcsin\left(c x\right)}{24 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{a c^{6} d x^{3}}{24 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{b c^{5} d x^{2}}{24 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{b c^{4} d x \arcsin\left(c x\right)}{8 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{a c^{4} d x}{8 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} + \frac{1}{6} \, b c^{3} d \log\left({\left| c \right|} {\left| x \right|}\right) - \frac{1}{6} \, b c^{3} d \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right) - \frac{b c^{2} d {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)} \arcsin\left(c x\right)}{8 \, x} - \frac{b c^{2} x \arcsin\left(c x\right) e}{2 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{a c^{2} d {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}}{8 \, x} - \frac{a c^{2} x e}{2 \, {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} + b c e \log\left({\left| c \right|} {\left| x \right|}\right) - b c e \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right) - \frac{b c d {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}}{24 \, x^{2}} - \frac{b d {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3} \arcsin\left(c x\right)}{24 \, x^{3}} - \frac{b {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)} \arcsin\left(c x\right) e}{2 \, x} - \frac{a d {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}{24 \, x^{3}} - \frac{a {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)} e}{2 \, x}"," ",0,"-1/24*b*c^6*d*x^3*arcsin(c*x)/(sqrt(-c^2*x^2 + 1) + 1)^3 - 1/24*a*c^6*d*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + 1/24*b*c^5*d*x^2/(sqrt(-c^2*x^2 + 1) + 1)^2 - 1/8*b*c^4*d*x*arcsin(c*x)/(sqrt(-c^2*x^2 + 1) + 1) - 1/8*a*c^4*d*x/(sqrt(-c^2*x^2 + 1) + 1) + 1/6*b*c^3*d*log(abs(c)*abs(x)) - 1/6*b*c^3*d*log(sqrt(-c^2*x^2 + 1) + 1) - 1/8*b*c^2*d*(sqrt(-c^2*x^2 + 1) + 1)*arcsin(c*x)/x - 1/2*b*c^2*x*arcsin(c*x)*e/(sqrt(-c^2*x^2 + 1) + 1) - 1/8*a*c^2*d*(sqrt(-c^2*x^2 + 1) + 1)/x - 1/2*a*c^2*x*e/(sqrt(-c^2*x^2 + 1) + 1) + b*c*e*log(abs(c)*abs(x)) - b*c*e*log(sqrt(-c^2*x^2 + 1) + 1) - 1/24*b*c*d*(sqrt(-c^2*x^2 + 1) + 1)^2/x^2 - 1/24*b*d*(sqrt(-c^2*x^2 + 1) + 1)^3*arcsin(c*x)/x^3 - 1/2*b*(sqrt(-c^2*x^2 + 1) + 1)*arcsin(c*x)*e/x - 1/24*a*d*(sqrt(-c^2*x^2 + 1) + 1)^3/x^3 - 1/2*a*(sqrt(-c^2*x^2 + 1) + 1)*e/x","B",0
605,1,596,0,0.443072," ","integrate(x^4*(e*x^2+d)^2*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{9} \, a x^{9} e^{2} + \frac{2}{7} \, a d x^{7} e + \frac{1}{5} \, a d^{2} x^{5} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b d^{2} x \arcsin\left(c x\right)}{5 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)} b d^{2} x \arcsin\left(c x\right)}{5 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} b d x \arcsin\left(c x\right) e}{7 \, c^{6}} + \frac{b d^{2} x \arcsin\left(c x\right)}{5 \, c^{4}} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d x \arcsin\left(c x\right) e}{7 \, c^{6}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{2}}{25 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b x \arcsin\left(c x\right) e^{2}}{9 \, c^{8}} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)} b d x \arcsin\left(c x\right) e}{7 \, c^{6}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{2}}{15 \, c^{5}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d e}{49 \, c^{7}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{3} b x \arcsin\left(c x\right) e^{2}}{9 \, c^{8}} + \frac{2 \, b d x \arcsin\left(c x\right) e}{7 \, c^{6}} + \frac{\sqrt{-c^{2} x^{2} + 1} b d^{2}}{5 \, c^{5}} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d e}{35 \, c^{7}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} b x \arcsin\left(c x\right) e^{2}}{3 \, c^{8}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} b e^{2}}{81 \, c^{9}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d e}{7 \, c^{7}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)} b x \arcsin\left(c x\right) e^{2}}{9 \, c^{8}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b e^{2}}{63 \, c^{9}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b d e}{7 \, c^{7}} + \frac{b x \arcsin\left(c x\right) e^{2}}{9 \, c^{8}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b e^{2}}{15 \, c^{9}} - \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b e^{2}}{27 \, c^{9}} + \frac{\sqrt{-c^{2} x^{2} + 1} b e^{2}}{9 \, c^{9}}"," ",0,"1/9*a*x^9*e^2 + 2/7*a*d*x^7*e + 1/5*a*d^2*x^5 + 1/5*(c^2*x^2 - 1)^2*b*d^2*x*arcsin(c*x)/c^4 + 2/5*(c^2*x^2 - 1)*b*d^2*x*arcsin(c*x)/c^4 + 2/7*(c^2*x^2 - 1)^3*b*d*x*arcsin(c*x)*e/c^6 + 1/5*b*d^2*x*arcsin(c*x)/c^4 + 6/7*(c^2*x^2 - 1)^2*b*d*x*arcsin(c*x)*e/c^6 + 1/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^2/c^5 + 1/9*(c^2*x^2 - 1)^4*b*x*arcsin(c*x)*e^2/c^8 + 6/7*(c^2*x^2 - 1)*b*d*x*arcsin(c*x)*e/c^6 - 2/15*(-c^2*x^2 + 1)^(3/2)*b*d^2/c^5 + 2/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d*e/c^7 + 4/9*(c^2*x^2 - 1)^3*b*x*arcsin(c*x)*e^2/c^8 + 2/7*b*d*x*arcsin(c*x)*e/c^6 + 1/5*sqrt(-c^2*x^2 + 1)*b*d^2/c^5 + 6/35*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d*e/c^7 + 2/3*(c^2*x^2 - 1)^2*b*x*arcsin(c*x)*e^2/c^8 + 1/81*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*b*e^2/c^9 - 2/7*(-c^2*x^2 + 1)^(3/2)*b*d*e/c^7 + 4/9*(c^2*x^2 - 1)*b*x*arcsin(c*x)*e^2/c^8 + 4/63*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*e^2/c^9 + 2/7*sqrt(-c^2*x^2 + 1)*b*d*e/c^7 + 1/9*b*x*arcsin(c*x)*e^2/c^8 + 2/15*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*e^2/c^9 - 4/27*(-c^2*x^2 + 1)^(3/2)*b*e^2/c^9 + 1/9*sqrt(-c^2*x^2 + 1)*b*e^2/c^9","B",0
606,1,496,0,0.307344," ","integrate(x^3*(e*x^2+d)^2*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{8} \, a x^{8} e^{2} + \frac{1}{3} \, a d x^{6} e + \frac{1}{4} \, a d^{2} x^{4} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{2} x}{16 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b d^{2} \arcsin\left(c x\right)}{4 \, c^{4}} + \frac{5 \, \sqrt{-c^{2} x^{2} + 1} b d^{2} x}{32 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d x e}{18 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)} b d^{2} \arcsin\left(c x\right)}{2 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b d \arcsin\left(c x\right) e}{3 \, c^{6}} - \frac{13 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d x e}{72 \, c^{5}} + \frac{5 \, b d^{2} \arcsin\left(c x\right)}{32 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b d \arcsin\left(c x\right) e}{c^{6}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b x e^{2}}{64 \, c^{7}} + \frac{11 \, \sqrt{-c^{2} x^{2} + 1} b d x e}{48 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b \arcsin\left(c x\right) e^{2}}{8 \, c^{8}} + \frac{{\left(c^{2} x^{2} - 1\right)} b d \arcsin\left(c x\right) e}{c^{6}} + \frac{25 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b x e^{2}}{384 \, c^{7}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b \arcsin\left(c x\right) e^{2}}{2 \, c^{8}} + \frac{11 \, b d \arcsin\left(c x\right) e}{48 \, c^{6}} - \frac{163 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b x e^{2}}{1536 \, c^{7}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} b \arcsin\left(c x\right) e^{2}}{4 \, c^{8}} + \frac{93 \, \sqrt{-c^{2} x^{2} + 1} b x e^{2}}{1024 \, c^{7}} + \frac{{\left(c^{2} x^{2} - 1\right)} b \arcsin\left(c x\right) e^{2}}{2 \, c^{8}} + \frac{93 \, b \arcsin\left(c x\right) e^{2}}{1024 \, c^{8}}"," ",0,"1/8*a*x^8*e^2 + 1/3*a*d*x^6*e + 1/4*a*d^2*x^4 - 1/16*(-c^2*x^2 + 1)^(3/2)*b*d^2*x/c^3 + 1/4*(c^2*x^2 - 1)^2*b*d^2*arcsin(c*x)/c^4 + 5/32*sqrt(-c^2*x^2 + 1)*b*d^2*x/c^3 + 1/18*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d*x*e/c^5 + 1/2*(c^2*x^2 - 1)*b*d^2*arcsin(c*x)/c^4 + 1/3*(c^2*x^2 - 1)^3*b*d*arcsin(c*x)*e/c^6 - 13/72*(-c^2*x^2 + 1)^(3/2)*b*d*x*e/c^5 + 5/32*b*d^2*arcsin(c*x)/c^4 + (c^2*x^2 - 1)^2*b*d*arcsin(c*x)*e/c^6 + 1/64*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*x*e^2/c^7 + 11/48*sqrt(-c^2*x^2 + 1)*b*d*x*e/c^5 + 1/8*(c^2*x^2 - 1)^4*b*arcsin(c*x)*e^2/c^8 + (c^2*x^2 - 1)*b*d*arcsin(c*x)*e/c^6 + 25/384*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*x*e^2/c^7 + 1/2*(c^2*x^2 - 1)^3*b*arcsin(c*x)*e^2/c^8 + 11/48*b*d*arcsin(c*x)*e/c^6 - 163/1536*(-c^2*x^2 + 1)^(3/2)*b*x*e^2/c^7 + 3/4*(c^2*x^2 - 1)^2*b*arcsin(c*x)*e^2/c^8 + 93/1024*sqrt(-c^2*x^2 + 1)*b*x*e^2/c^7 + 1/2*(c^2*x^2 - 1)*b*arcsin(c*x)*e^2/c^8 + 93/1024*b*arcsin(c*x)*e^2/c^8","B",0
607,1,427,0,0.614637," ","integrate(x^2*(e*x^2+d)^2*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{7} \, a x^{7} e^{2} + \frac{2}{5} \, a d x^{5} e + \frac{1}{3} \, a d^{2} x^{3} + \frac{{\left(c^{2} x^{2} - 1\right)} b d^{2} x \arcsin\left(c x\right)}{3 \, c^{2}} + \frac{b d^{2} x \arcsin\left(c x\right)}{3 \, c^{2}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d x \arcsin\left(c x\right) e}{5 \, c^{4}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)} b d x \arcsin\left(c x\right) e}{5 \, c^{4}} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{2}}{9 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b x \arcsin\left(c x\right) e^{2}}{7 \, c^{6}} + \frac{2 \, b d x \arcsin\left(c x\right) e}{5 \, c^{4}} + \frac{\sqrt{-c^{2} x^{2} + 1} b d^{2}}{3 \, c^{3}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d e}{25 \, c^{5}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} b x \arcsin\left(c x\right) e^{2}}{7 \, c^{6}} - \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d e}{15 \, c^{5}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)} b x \arcsin\left(c x\right) e^{2}}{7 \, c^{6}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b e^{2}}{49 \, c^{7}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b d e}{5 \, c^{5}} + \frac{b x \arcsin\left(c x\right) e^{2}}{7 \, c^{6}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b e^{2}}{35 \, c^{7}} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b e^{2}}{7 \, c^{7}} + \frac{\sqrt{-c^{2} x^{2} + 1} b e^{2}}{7 \, c^{7}}"," ",0,"1/7*a*x^7*e^2 + 2/5*a*d*x^5*e + 1/3*a*d^2*x^3 + 1/3*(c^2*x^2 - 1)*b*d^2*x*arcsin(c*x)/c^2 + 1/3*b*d^2*x*arcsin(c*x)/c^2 + 2/5*(c^2*x^2 - 1)^2*b*d*x*arcsin(c*x)*e/c^4 + 4/5*(c^2*x^2 - 1)*b*d*x*arcsin(c*x)*e/c^4 - 1/9*(-c^2*x^2 + 1)^(3/2)*b*d^2/c^3 + 1/7*(c^2*x^2 - 1)^3*b*x*arcsin(c*x)*e^2/c^6 + 2/5*b*d*x*arcsin(c*x)*e/c^4 + 1/3*sqrt(-c^2*x^2 + 1)*b*d^2/c^3 + 2/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d*e/c^5 + 3/7*(c^2*x^2 - 1)^2*b*x*arcsin(c*x)*e^2/c^6 - 4/15*(-c^2*x^2 + 1)^(3/2)*b*d*e/c^5 + 3/7*(c^2*x^2 - 1)*b*x*arcsin(c*x)*e^2/c^6 + 1/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*e^2/c^7 + 2/5*sqrt(-c^2*x^2 + 1)*b*d*e/c^5 + 1/7*b*x*arcsin(c*x)*e^2/c^6 + 3/35*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*e^2/c^7 - 1/7*(-c^2*x^2 + 1)^(3/2)*b*e^2/c^7 + 1/7*sqrt(-c^2*x^2 + 1)*b*e^2/c^7","B",0
608,1,348,0,0.528066," ","integrate(x*(e*x^2+d)^2*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{6} \, a x^{6} e^{2} + \frac{1}{2} \, a d x^{4} e + \frac{\sqrt{-c^{2} x^{2} + 1} b d^{2} x}{4 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)} b d^{2} \arcsin\left(c x\right)}{2 \, c^{2}} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d x e}{8 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)} a d^{2}}{2 \, c^{2}} + \frac{b d^{2} \arcsin\left(c x\right)}{4 \, c^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b d \arcsin\left(c x\right) e}{2 \, c^{4}} + \frac{5 \, \sqrt{-c^{2} x^{2} + 1} b d x e}{16 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)} b d \arcsin\left(c x\right) e}{c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b x e^{2}}{36 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b \arcsin\left(c x\right) e^{2}}{6 \, c^{6}} + \frac{5 \, b d \arcsin\left(c x\right) e}{16 \, c^{4}} - \frac{13 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b x e^{2}}{144 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b \arcsin\left(c x\right) e^{2}}{2 \, c^{6}} + \frac{11 \, \sqrt{-c^{2} x^{2} + 1} b x e^{2}}{96 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)} b \arcsin\left(c x\right) e^{2}}{2 \, c^{6}} + \frac{11 \, b \arcsin\left(c x\right) e^{2}}{96 \, c^{6}}"," ",0,"1/6*a*x^6*e^2 + 1/2*a*d*x^4*e + 1/4*sqrt(-c^2*x^2 + 1)*b*d^2*x/c + 1/2*(c^2*x^2 - 1)*b*d^2*arcsin(c*x)/c^2 - 1/8*(-c^2*x^2 + 1)^(3/2)*b*d*x*e/c^3 + 1/2*(c^2*x^2 - 1)*a*d^2/c^2 + 1/4*b*d^2*arcsin(c*x)/c^2 + 1/2*(c^2*x^2 - 1)^2*b*d*arcsin(c*x)*e/c^4 + 5/16*sqrt(-c^2*x^2 + 1)*b*d*x*e/c^3 + (c^2*x^2 - 1)*b*d*arcsin(c*x)*e/c^4 + 1/36*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*x*e^2/c^5 + 1/6*(c^2*x^2 - 1)^3*b*arcsin(c*x)*e^2/c^6 + 5/16*b*d*arcsin(c*x)*e/c^4 - 13/144*(-c^2*x^2 + 1)^(3/2)*b*x*e^2/c^5 + 1/2*(c^2*x^2 - 1)^2*b*arcsin(c*x)*e^2/c^6 + 11/96*sqrt(-c^2*x^2 + 1)*b*x*e^2/c^5 + 1/2*(c^2*x^2 - 1)*b*arcsin(c*x)*e^2/c^6 + 11/96*b*arcsin(c*x)*e^2/c^6","B",0
609,1,263,0,0.312539," ","integrate((e*x^2+d)^2*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{5} \, a x^{5} e^{2} + \frac{2}{3} \, a d x^{3} e + b d^{2} x \arcsin\left(c x\right) + a d^{2} x + \frac{2 \, {\left(c^{2} x^{2} - 1\right)} b d x \arcsin\left(c x\right) e}{3 \, c^{2}} + \frac{2 \, b d x \arcsin\left(c x\right) e}{3 \, c^{2}} + \frac{\sqrt{-c^{2} x^{2} + 1} b d^{2}}{c} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d e}{9 \, c^{3}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)} b x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b d e}{3 \, c^{3}} + \frac{b x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b e^{2}}{25 \, c^{5}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b e^{2}}{15 \, c^{5}} + \frac{\sqrt{-c^{2} x^{2} + 1} b e^{2}}{5 \, c^{5}}"," ",0,"1/5*a*x^5*e^2 + 2/3*a*d*x^3*e + b*d^2*x*arcsin(c*x) + a*d^2*x + 2/3*(c^2*x^2 - 1)*b*d*x*arcsin(c*x)*e/c^2 + 2/3*b*d*x*arcsin(c*x)*e/c^2 + sqrt(-c^2*x^2 + 1)*b*d^2/c + 1/5*(c^2*x^2 - 1)^2*b*x*arcsin(c*x)*e^2/c^4 - 2/9*(-c^2*x^2 + 1)^(3/2)*b*d*e/c^3 + 2/5*(c^2*x^2 - 1)*b*x*arcsin(c*x)*e^2/c^4 + 2/3*sqrt(-c^2*x^2 + 1)*b*d*e/c^3 + 1/5*b*x*arcsin(c*x)*e^2/c^4 + 1/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*e^2/c^5 - 2/15*(-c^2*x^2 + 1)^(3/2)*b*e^2/c^5 + 1/5*sqrt(-c^2*x^2 + 1)*b*e^2/c^5","A",0
610,0,0,0,0.000000," ","integrate((e*x^2+d)^2*(a+b*arcsin(c*x))/x,x, algorithm=""giac"")","\int \frac{{\left(e x^{2} + d\right)}^{2} {\left(b \arcsin\left(c x\right) + a\right)}}{x}\,{d x}"," ",0,"integrate((e*x^2 + d)^2*(b*arcsin(c*x) + a)/x, x)","F",0
611,1,4247,0,36.870607," ","integrate((e*x^2+d)^2*(a+b*arcsin(c*x))/x^2,x, algorithm=""giac"")","-\frac{b c^{12} d^{2} x^{8} \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} - \frac{a c^{12} d^{2} x^{8}}{2 \, {\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} + \frac{b c^{11} d^{2} x^{7} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} - \frac{b c^{11} d^{2} x^{7} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} - \frac{2 \, b c^{10} d^{2} x^{6} \arcsin\left(c x\right)}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{2 \, a c^{10} d^{2} x^{6}}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{3 \, b c^{9} d^{2} x^{5} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{3 \, b c^{9} d^{2} x^{5} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{3 \, b c^{8} d^{2} x^{4} \arcsin\left(c x\right)}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{2 \, b c^{9} d x^{7} e}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{4 \, b c^{8} d x^{6} \arcsin\left(c x\right) e}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{3 \, a c^{8} d^{2} x^{4}}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{4 \, a c^{8} d x^{6} e}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{3 \, b c^{7} d^{2} x^{3} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{3 \, b c^{7} d^{2} x^{3} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{2 \, b c^{6} d^{2} x^{2} \arcsin\left(c x\right)}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{2 \, b c^{7} d x^{5} e}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{8 \, b c^{6} d x^{4} \arcsin\left(c x\right) e}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{2 \, a c^{6} d^{2} x^{2}}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{2 \, b c^{7} x^{7} e^{2}}{9 \, {\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{8 \, a c^{6} d x^{4} e}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{b c^{5} d^{2} x \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c^{5} d^{2} x \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c^{4} d^{2} \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)}} + \frac{2 \, b c^{5} d x^{3} e}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{4 \, b c^{4} d x^{2} \arcsin\left(c x\right) e}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{a c^{4} d^{2}}{2 \, {\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)}} - \frac{2 \, b c^{5} x^{5} e^{2}}{3 \, {\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{8 \, b c^{4} x^{4} \arcsin\left(c x\right) e^{2}}{3 \, {\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{4 \, a c^{4} d x^{2} e}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} + \frac{8 \, a c^{4} x^{4} e^{2}}{3 \, {\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{2 \, b c^{3} d x e}{{\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} + \frac{2 \, b c^{3} x^{3} e^{2}}{3 \, {\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{2 \, b c x e^{2}}{9 \, {\left(\frac{c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{3 \, c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{4} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}}"," ",0,"-1/2*b*c^12*d^2*x^8*arcsin(c*x)/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^8) - 1/2*a*c^12*d^2*x^8/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^8) + b*c^11*d^2*x^7*log(abs(c)*abs(x))/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) - b*c^11*d^2*x^7*log(sqrt(-c^2*x^2 + 1) + 1)/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) - 2*b*c^10*d^2*x^6*arcsin(c*x)/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) - 2*a*c^10*d^2*x^6/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) + 3*b*c^9*d^2*x^5*log(abs(c)*abs(x))/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) - 3*b*c^9*d^2*x^5*log(sqrt(-c^2*x^2 + 1) + 1)/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) - 3*b*c^8*d^2*x^4*arcsin(c*x)/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) - 2*b*c^9*d*x^7*e/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) + 4*b*c^8*d*x^6*arcsin(c*x)*e/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) - 3*a*c^8*d^2*x^4/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) + 4*a*c^8*d*x^6*e/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) + 3*b*c^7*d^2*x^3*log(abs(c)*abs(x))/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) - 3*b*c^7*d^2*x^3*log(sqrt(-c^2*x^2 + 1) + 1)/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) - 2*b*c^6*d^2*x^2*arcsin(c*x)/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) - 2*b*c^7*d*x^5*e/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) + 8*b*c^6*d*x^4*arcsin(c*x)*e/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) - 2*a*c^6*d^2*x^2/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) - 2/9*b*c^7*x^7*e^2/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) + 8*a*c^6*d*x^4*e/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) + b*c^5*d^2*x*log(abs(c)*abs(x))/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - b*c^5*d^2*x*log(sqrt(-c^2*x^2 + 1) + 1)/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - 1/2*b*c^4*d^2*arcsin(c*x)/(c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1)) + 2*b*c^5*d*x^3*e/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) + 4*b*c^4*d*x^2*arcsin(c*x)*e/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) - 1/2*a*c^4*d^2/(c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1)) - 2/3*b*c^5*x^5*e^2/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) + 8/3*b*c^4*x^4*arcsin(c*x)*e^2/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) + 4*a*c^4*d*x^2*e/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) + 8/3*a*c^4*x^4*e^2/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) + 2*b*c^3*d*x*e/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) + 2/3*b*c^3*x^3*e^2/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) + 2/9*b*c*x*e^2/((c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 3*c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^4*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1))","B",0
612,0,0,0,0.000000," ","integrate((e*x^2+d)^2*(a+b*arcsin(c*x))/x^3,x, algorithm=""giac"")","\int \frac{{\left(e x^{2} + d\right)}^{2} {\left(b \arcsin\left(c x\right) + a\right)}}{x^{3}}\,{d x}"," ",0,"integrate((e*x^2 + d)^2*(b*arcsin(c*x) + a)/x^3, x)","F",0
613,1,2540,0,32.236985," ","integrate((e*x^2+d)^2*(a+b*arcsin(c*x))/x^4,x, algorithm=""giac"")","-\frac{b c^{12} d^{2} x^{8} \arcsin\left(c x\right)}{24 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} - \frac{a c^{12} d^{2} x^{8}}{24 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} + \frac{b c^{11} d^{2} x^{7}}{24 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} - \frac{b c^{10} d^{2} x^{6} \arcsin\left(c x\right)}{6 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{a c^{10} d^{2} x^{6}}{6 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{b c^{9} d^{2} x^{5} \log\left({\left| c \right|} {\left| x \right|}\right)}{6 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{b c^{9} d^{2} x^{5} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{6 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{b c^{9} d^{2} x^{5}}{24 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{b c^{8} d^{2} x^{4} \arcsin\left(c x\right)}{4 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{b c^{8} d x^{6} \arcsin\left(c x\right) e}{{\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{a c^{8} d^{2} x^{4}}{4 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{a c^{8} d x^{6} e}{{\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{b c^{7} d^{2} x^{3} \log\left({\left| c \right|} {\left| x \right|}\right)}{6 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{2 \, b c^{7} d x^{5} e \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{b c^{7} d^{2} x^{3} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{6 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{2 \, b c^{7} d x^{5} e \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{b c^{7} d^{2} x^{3}}{24 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{b c^{6} d^{2} x^{2} \arcsin\left(c x\right)}{6 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{2 \, b c^{6} d x^{4} \arcsin\left(c x\right) e}{{\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{a c^{6} d^{2} x^{2}}{6 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{2 \, a c^{6} d x^{4} e}{{\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{2 \, b c^{5} d x^{3} e \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{2 \, b c^{5} d x^{3} e \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{b c^{5} d^{2} x}{24 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c^{4} d^{2} \arcsin\left(c x\right)}{24 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)}} - \frac{b c^{4} d x^{2} \arcsin\left(c x\right) e}{{\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{a c^{4} d^{2}}{24 \, {\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)}} - \frac{b c^{5} x^{5} e^{2}}{{\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{2 \, b c^{4} x^{4} \arcsin\left(c x\right) e^{2}}{{\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{a c^{4} d x^{2} e}{{\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} + \frac{2 \, a c^{4} x^{4} e^{2}}{{\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{b c^{3} x^{3} e^{2}}{{\left(\frac{c^{6} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{4} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}"," ",0,"-1/24*b*c^12*d^2*x^8*arcsin(c*x)/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^8) - 1/24*a*c^12*d^2*x^8/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^8) + 1/24*b*c^11*d^2*x^7/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^7) - 1/6*b*c^10*d^2*x^6*arcsin(c*x)/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^6) - 1/6*a*c^10*d^2*x^6/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^6) + 1/6*b*c^9*d^2*x^5*log(abs(c)*abs(x))/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) - 1/6*b*c^9*d^2*x^5*log(sqrt(-c^2*x^2 + 1) + 1)/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) + 1/24*b*c^9*d^2*x^5/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) - 1/4*b*c^8*d^2*x^4*arcsin(c*x)/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^4) - b*c^8*d*x^6*arcsin(c*x)*e/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^6) - 1/4*a*c^8*d^2*x^4/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^4) - a*c^8*d*x^6*e/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^6) + 1/6*b*c^7*d^2*x^3*log(abs(c)*abs(x))/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3) + 2*b*c^7*d*x^5*e*log(abs(c)*abs(x))/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) - 1/6*b*c^7*d^2*x^3*log(sqrt(-c^2*x^2 + 1) + 1)/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3) - 2*b*c^7*d*x^5*e*log(sqrt(-c^2*x^2 + 1) + 1)/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) - 1/24*b*c^7*d^2*x^3/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3) - 1/6*b*c^6*d^2*x^2*arcsin(c*x)/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^2) - 2*b*c^6*d*x^4*arcsin(c*x)*e/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^4) - 1/6*a*c^6*d^2*x^2/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^2) - 2*a*c^6*d*x^4*e/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^4) + 2*b*c^5*d*x^3*e*log(abs(c)*abs(x))/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3) - 2*b*c^5*d*x^3*e*log(sqrt(-c^2*x^2 + 1) + 1)/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3) - 1/24*b*c^5*d^2*x/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)) - 1/24*b*c^4*d^2*arcsin(c*x)/(c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3) - b*c^4*d*x^2*arcsin(c*x)*e/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^2) - 1/24*a*c^4*d^2/(c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3) - b*c^5*x^5*e^2/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) + 2*b*c^4*x^4*arcsin(c*x)*e^2/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^4) - a*c^4*d*x^2*e/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^2) + 2*a*c^4*x^4*e^2/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^4) + b*c^3*x^3*e^2/((c^6*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^4*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3)","B",0
614,1,928,0,0.432267," ","integrate(x^4*(e*x^2+d)^3*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{11} \, a x^{11} e^{3} + \frac{1}{3} \, a d x^{9} e^{2} + \frac{3}{7} \, a d^{2} x^{7} e + \frac{1}{5} \, a d^{3} x^{5} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b d^{3} x \arcsin\left(c x\right)}{5 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)} b d^{3} x \arcsin\left(c x\right)}{5 \, c^{4}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{3} b d^{2} x \arcsin\left(c x\right) e}{7 \, c^{6}} + \frac{b d^{3} x \arcsin\left(c x\right)}{5 \, c^{4}} + \frac{9 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d^{2} x \arcsin\left(c x\right) e}{7 \, c^{6}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{3}}{25 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b d x \arcsin\left(c x\right) e^{2}}{3 \, c^{8}} + \frac{9 \, {\left(c^{2} x^{2} - 1\right)} b d^{2} x \arcsin\left(c x\right) e}{7 \, c^{6}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{3}}{15 \, c^{5}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d^{2} e}{49 \, c^{7}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{3} b d x \arcsin\left(c x\right) e^{2}}{3 \, c^{8}} + \frac{3 \, b d^{2} x \arcsin\left(c x\right) e}{7 \, c^{6}} + \frac{\sqrt{-c^{2} x^{2} + 1} b d^{3}}{5 \, c^{5}} + \frac{9 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{2} e}{35 \, c^{7}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{5} b x \arcsin\left(c x\right) e^{3}}{11 \, c^{10}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d x \arcsin\left(c x\right) e^{2}}{c^{8}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} b d e^{2}}{27 \, c^{9}} - \frac{3 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{2} e}{7 \, c^{7}} + \frac{5 \, {\left(c^{2} x^{2} - 1\right)}^{4} b x \arcsin\left(c x\right) e^{3}}{11 \, c^{10}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)} b d x \arcsin\left(c x\right) e^{2}}{3 \, c^{8}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d e^{2}}{21 \, c^{9}} + \frac{3 \, \sqrt{-c^{2} x^{2} + 1} b d^{2} e}{7 \, c^{7}} + \frac{10 \, {\left(c^{2} x^{2} - 1\right)}^{3} b x \arcsin\left(c x\right) e^{3}}{11 \, c^{10}} + \frac{b d x \arcsin\left(c x\right) e^{2}}{3 \, c^{8}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{5} \sqrt{-c^{2} x^{2} + 1} b e^{3}}{121 \, c^{11}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d e^{2}}{5 \, c^{9}} + \frac{10 \, {\left(c^{2} x^{2} - 1\right)}^{2} b x \arcsin\left(c x\right) e^{3}}{11 \, c^{10}} + \frac{5 \, {\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} b e^{3}}{99 \, c^{11}} - \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d e^{2}}{9 \, c^{9}} + \frac{5 \, {\left(c^{2} x^{2} - 1\right)} b x \arcsin\left(c x\right) e^{3}}{11 \, c^{10}} + \frac{10 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b e^{3}}{77 \, c^{11}} + \frac{\sqrt{-c^{2} x^{2} + 1} b d e^{2}}{3 \, c^{9}} + \frac{b x \arcsin\left(c x\right) e^{3}}{11 \, c^{10}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b e^{3}}{11 \, c^{11}} - \frac{5 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b e^{3}}{33 \, c^{11}} + \frac{\sqrt{-c^{2} x^{2} + 1} b e^{3}}{11 \, c^{11}}"," ",0,"1/11*a*x^11*e^3 + 1/3*a*d*x^9*e^2 + 3/7*a*d^2*x^7*e + 1/5*a*d^3*x^5 + 1/5*(c^2*x^2 - 1)^2*b*d^3*x*arcsin(c*x)/c^4 + 2/5*(c^2*x^2 - 1)*b*d^3*x*arcsin(c*x)/c^4 + 3/7*(c^2*x^2 - 1)^3*b*d^2*x*arcsin(c*x)*e/c^6 + 1/5*b*d^3*x*arcsin(c*x)/c^4 + 9/7*(c^2*x^2 - 1)^2*b*d^2*x*arcsin(c*x)*e/c^6 + 1/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^3/c^5 + 1/3*(c^2*x^2 - 1)^4*b*d*x*arcsin(c*x)*e^2/c^8 + 9/7*(c^2*x^2 - 1)*b*d^2*x*arcsin(c*x)*e/c^6 - 2/15*(-c^2*x^2 + 1)^(3/2)*b*d^3/c^5 + 3/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d^2*e/c^7 + 4/3*(c^2*x^2 - 1)^3*b*d*x*arcsin(c*x)*e^2/c^8 + 3/7*b*d^2*x*arcsin(c*x)*e/c^6 + 1/5*sqrt(-c^2*x^2 + 1)*b*d^3/c^5 + 9/35*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^2*e/c^7 + 1/11*(c^2*x^2 - 1)^5*b*x*arcsin(c*x)*e^3/c^10 + 2*(c^2*x^2 - 1)^2*b*d*x*arcsin(c*x)*e^2/c^8 + 1/27*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*b*d*e^2/c^9 - 3/7*(-c^2*x^2 + 1)^(3/2)*b*d^2*e/c^7 + 5/11*(c^2*x^2 - 1)^4*b*x*arcsin(c*x)*e^3/c^10 + 4/3*(c^2*x^2 - 1)*b*d*x*arcsin(c*x)*e^2/c^8 + 4/21*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d*e^2/c^9 + 3/7*sqrt(-c^2*x^2 + 1)*b*d^2*e/c^7 + 10/11*(c^2*x^2 - 1)^3*b*x*arcsin(c*x)*e^3/c^10 + 1/3*b*d*x*arcsin(c*x)*e^2/c^8 + 1/121*(c^2*x^2 - 1)^5*sqrt(-c^2*x^2 + 1)*b*e^3/c^11 + 2/5*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d*e^2/c^9 + 10/11*(c^2*x^2 - 1)^2*b*x*arcsin(c*x)*e^3/c^10 + 5/99*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*b*e^3/c^11 - 4/9*(-c^2*x^2 + 1)^(3/2)*b*d*e^2/c^9 + 5/11*(c^2*x^2 - 1)*b*x*arcsin(c*x)*e^3/c^10 + 10/77*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*e^3/c^11 + 1/3*sqrt(-c^2*x^2 + 1)*b*d*e^2/c^9 + 1/11*b*x*arcsin(c*x)*e^3/c^10 + 2/11*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*e^3/c^11 - 5/33*(-c^2*x^2 + 1)^(3/2)*b*e^3/c^11 + 1/11*sqrt(-c^2*x^2 + 1)*b*e^3/c^11","B",0
615,1,793,0,0.399530," ","integrate(x^3*(e*x^2+d)^3*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{10} \, a x^{10} e^{3} + \frac{3}{8} \, a d x^{8} e^{2} + \frac{1}{2} \, a d^{2} x^{6} e + \frac{1}{4} \, a d^{3} x^{4} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{3} x}{16 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b d^{3} \arcsin\left(c x\right)}{4 \, c^{4}} + \frac{5 \, \sqrt{-c^{2} x^{2} + 1} b d^{3} x}{32 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{2} x e}{12 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)} b d^{3} \arcsin\left(c x\right)}{2 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b d^{2} \arcsin\left(c x\right) e}{2 \, c^{6}} - \frac{13 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{2} x e}{48 \, c^{5}} + \frac{5 \, b d^{3} \arcsin\left(c x\right)}{32 \, c^{4}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d^{2} \arcsin\left(c x\right) e}{2 \, c^{6}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d x e^{2}}{64 \, c^{7}} + \frac{11 \, \sqrt{-c^{2} x^{2} + 1} b d^{2} x e}{32 \, c^{5}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{4} b d \arcsin\left(c x\right) e^{2}}{8 \, c^{8}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)} b d^{2} \arcsin\left(c x\right) e}{2 \, c^{6}} + \frac{25 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d x e^{2}}{128 \, c^{7}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{3} b d \arcsin\left(c x\right) e^{2}}{2 \, c^{8}} + \frac{11 \, b d^{2} \arcsin\left(c x\right) e}{32 \, c^{6}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} b x e^{3}}{100 \, c^{9}} - \frac{163 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d x e^{2}}{512 \, c^{7}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{5} b \arcsin\left(c x\right) e^{3}}{10 \, c^{10}} + \frac{9 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d \arcsin\left(c x\right) e^{2}}{4 \, c^{8}} + \frac{41 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b x e^{3}}{800 \, c^{9}} + \frac{279 \, \sqrt{-c^{2} x^{2} + 1} b d x e^{2}}{1024 \, c^{7}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b \arcsin\left(c x\right) e^{3}}{2 \, c^{10}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)} b d \arcsin\left(c x\right) e^{2}}{2 \, c^{8}} + \frac{171 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b x e^{3}}{1600 \, c^{9}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b \arcsin\left(c x\right) e^{3}}{c^{10}} + \frac{279 \, b d \arcsin\left(c x\right) e^{2}}{1024 \, c^{8}} - \frac{149 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b x e^{3}}{1280 \, c^{9}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b \arcsin\left(c x\right) e^{3}}{c^{10}} + \frac{193 \, \sqrt{-c^{2} x^{2} + 1} b x e^{3}}{2560 \, c^{9}} + \frac{{\left(c^{2} x^{2} - 1\right)} b \arcsin\left(c x\right) e^{3}}{2 \, c^{10}} + \frac{193 \, b \arcsin\left(c x\right) e^{3}}{2560 \, c^{10}}"," ",0,"1/10*a*x^10*e^3 + 3/8*a*d*x^8*e^2 + 1/2*a*d^2*x^6*e + 1/4*a*d^3*x^4 - 1/16*(-c^2*x^2 + 1)^(3/2)*b*d^3*x/c^3 + 1/4*(c^2*x^2 - 1)^2*b*d^3*arcsin(c*x)/c^4 + 5/32*sqrt(-c^2*x^2 + 1)*b*d^3*x/c^3 + 1/12*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^2*x*e/c^5 + 1/2*(c^2*x^2 - 1)*b*d^3*arcsin(c*x)/c^4 + 1/2*(c^2*x^2 - 1)^3*b*d^2*arcsin(c*x)*e/c^6 - 13/48*(-c^2*x^2 + 1)^(3/2)*b*d^2*x*e/c^5 + 5/32*b*d^3*arcsin(c*x)/c^4 + 3/2*(c^2*x^2 - 1)^2*b*d^2*arcsin(c*x)*e/c^6 + 3/64*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d*x*e^2/c^7 + 11/32*sqrt(-c^2*x^2 + 1)*b*d^2*x*e/c^5 + 3/8*(c^2*x^2 - 1)^4*b*d*arcsin(c*x)*e^2/c^8 + 3/2*(c^2*x^2 - 1)*b*d^2*arcsin(c*x)*e/c^6 + 25/128*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d*x*e^2/c^7 + 3/2*(c^2*x^2 - 1)^3*b*d*arcsin(c*x)*e^2/c^8 + 11/32*b*d^2*arcsin(c*x)*e/c^6 + 1/100*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*b*x*e^3/c^9 - 163/512*(-c^2*x^2 + 1)^(3/2)*b*d*x*e^2/c^7 + 1/10*(c^2*x^2 - 1)^5*b*arcsin(c*x)*e^3/c^10 + 9/4*(c^2*x^2 - 1)^2*b*d*arcsin(c*x)*e^2/c^8 + 41/800*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*x*e^3/c^9 + 279/1024*sqrt(-c^2*x^2 + 1)*b*d*x*e^2/c^7 + 1/2*(c^2*x^2 - 1)^4*b*arcsin(c*x)*e^3/c^10 + 3/2*(c^2*x^2 - 1)*b*d*arcsin(c*x)*e^2/c^8 + 171/1600*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*x*e^3/c^9 + (c^2*x^2 - 1)^3*b*arcsin(c*x)*e^3/c^10 + 279/1024*b*d*arcsin(c*x)*e^2/c^8 - 149/1280*(-c^2*x^2 + 1)^(3/2)*b*x*e^3/c^9 + (c^2*x^2 - 1)^2*b*arcsin(c*x)*e^3/c^10 + 193/2560*sqrt(-c^2*x^2 + 1)*b*x*e^3/c^9 + 1/2*(c^2*x^2 - 1)*b*arcsin(c*x)*e^3/c^10 + 193/2560*b*arcsin(c*x)*e^3/c^10","B",0
616,1,698,0,0.465510," ","integrate(x^2*(e*x^2+d)^3*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{9} \, a x^{9} e^{3} + \frac{3}{7} \, a d x^{7} e^{2} + \frac{3}{5} \, a d^{2} x^{5} e + \frac{1}{3} \, a d^{3} x^{3} + \frac{{\left(c^{2} x^{2} - 1\right)} b d^{3} x \arcsin\left(c x\right)}{3 \, c^{2}} + \frac{b d^{3} x \arcsin\left(c x\right)}{3 \, c^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d^{2} x \arcsin\left(c x\right) e}{5 \, c^{4}} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)} b d^{2} x \arcsin\left(c x\right) e}{5 \, c^{4}} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{3}}{9 \, c^{3}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{3} b d x \arcsin\left(c x\right) e^{2}}{7 \, c^{6}} + \frac{3 \, b d^{2} x \arcsin\left(c x\right) e}{5 \, c^{4}} + \frac{\sqrt{-c^{2} x^{2} + 1} b d^{3}}{3 \, c^{3}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{2} e}{25 \, c^{5}} + \frac{9 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d x \arcsin\left(c x\right) e^{2}}{7 \, c^{6}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{2} e}{5 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b x \arcsin\left(c x\right) e^{3}}{9 \, c^{8}} + \frac{9 \, {\left(c^{2} x^{2} - 1\right)} b d x \arcsin\left(c x\right) e^{2}}{7 \, c^{6}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d e^{2}}{49 \, c^{7}} + \frac{3 \, \sqrt{-c^{2} x^{2} + 1} b d^{2} e}{5 \, c^{5}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{3} b x \arcsin\left(c x\right) e^{3}}{9 \, c^{8}} + \frac{3 \, b d x \arcsin\left(c x\right) e^{2}}{7 \, c^{6}} + \frac{9 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d e^{2}}{35 \, c^{7}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} b x \arcsin\left(c x\right) e^{3}}{3 \, c^{8}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} b e^{3}}{81 \, c^{9}} - \frac{3 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d e^{2}}{7 \, c^{7}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)} b x \arcsin\left(c x\right) e^{3}}{9 \, c^{8}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b e^{3}}{63 \, c^{9}} + \frac{3 \, \sqrt{-c^{2} x^{2} + 1} b d e^{2}}{7 \, c^{7}} + \frac{b x \arcsin\left(c x\right) e^{3}}{9 \, c^{8}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b e^{3}}{15 \, c^{9}} - \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b e^{3}}{27 \, c^{9}} + \frac{\sqrt{-c^{2} x^{2} + 1} b e^{3}}{9 \, c^{9}}"," ",0,"1/9*a*x^9*e^3 + 3/7*a*d*x^7*e^2 + 3/5*a*d^2*x^5*e + 1/3*a*d^3*x^3 + 1/3*(c^2*x^2 - 1)*b*d^3*x*arcsin(c*x)/c^2 + 1/3*b*d^3*x*arcsin(c*x)/c^2 + 3/5*(c^2*x^2 - 1)^2*b*d^2*x*arcsin(c*x)*e/c^4 + 6/5*(c^2*x^2 - 1)*b*d^2*x*arcsin(c*x)*e/c^4 - 1/9*(-c^2*x^2 + 1)^(3/2)*b*d^3/c^3 + 3/7*(c^2*x^2 - 1)^3*b*d*x*arcsin(c*x)*e^2/c^6 + 3/5*b*d^2*x*arcsin(c*x)*e/c^4 + 1/3*sqrt(-c^2*x^2 + 1)*b*d^3/c^3 + 3/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^2*e/c^5 + 9/7*(c^2*x^2 - 1)^2*b*d*x*arcsin(c*x)*e^2/c^6 - 2/5*(-c^2*x^2 + 1)^(3/2)*b*d^2*e/c^5 + 1/9*(c^2*x^2 - 1)^4*b*x*arcsin(c*x)*e^3/c^8 + 9/7*(c^2*x^2 - 1)*b*d*x*arcsin(c*x)*e^2/c^6 + 3/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d*e^2/c^7 + 3/5*sqrt(-c^2*x^2 + 1)*b*d^2*e/c^5 + 4/9*(c^2*x^2 - 1)^3*b*x*arcsin(c*x)*e^3/c^8 + 3/7*b*d*x*arcsin(c*x)*e^2/c^6 + 9/35*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d*e^2/c^7 + 2/3*(c^2*x^2 - 1)^2*b*x*arcsin(c*x)*e^3/c^8 + 1/81*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*b*e^3/c^9 - 3/7*(-c^2*x^2 + 1)^(3/2)*b*d*e^2/c^7 + 4/9*(c^2*x^2 - 1)*b*x*arcsin(c*x)*e^3/c^8 + 4/63*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*e^3/c^9 + 3/7*sqrt(-c^2*x^2 + 1)*b*d*e^2/c^7 + 1/9*b*x*arcsin(c*x)*e^3/c^8 + 2/15*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*e^3/c^9 - 4/27*(-c^2*x^2 + 1)^(3/2)*b*e^3/c^9 + 1/9*sqrt(-c^2*x^2 + 1)*b*e^3/c^9","B",0
617,1,585,0,0.339121," ","integrate(x*(e*x^2+d)^3*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{8} \, a x^{8} e^{3} + \frac{1}{2} \, a d x^{6} e^{2} + \frac{3}{4} \, a d^{2} x^{4} e + \frac{\sqrt{-c^{2} x^{2} + 1} b d^{3} x}{4 \, c} + \frac{{\left(c^{2} x^{2} - 1\right)} b d^{3} \arcsin\left(c x\right)}{2 \, c^{2}} - \frac{3 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{2} x e}{16 \, c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)} a d^{3}}{2 \, c^{2}} + \frac{b d^{3} \arcsin\left(c x\right)}{4 \, c^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d^{2} \arcsin\left(c x\right) e}{4 \, c^{4}} + \frac{15 \, \sqrt{-c^{2} x^{2} + 1} b d^{2} x e}{32 \, c^{3}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)} b d^{2} \arcsin\left(c x\right) e}{2 \, c^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d x e^{2}}{12 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b d \arcsin\left(c x\right) e^{2}}{2 \, c^{6}} + \frac{15 \, b d^{2} \arcsin\left(c x\right) e}{32 \, c^{4}} - \frac{13 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d x e^{2}}{48 \, c^{5}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d \arcsin\left(c x\right) e^{2}}{2 \, c^{6}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b x e^{3}}{64 \, c^{7}} + \frac{11 \, \sqrt{-c^{2} x^{2} + 1} b d x e^{2}}{32 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b \arcsin\left(c x\right) e^{3}}{8 \, c^{8}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)} b d \arcsin\left(c x\right) e^{2}}{2 \, c^{6}} + \frac{25 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b x e^{3}}{384 \, c^{7}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b \arcsin\left(c x\right) e^{3}}{2 \, c^{8}} + \frac{11 \, b d \arcsin\left(c x\right) e^{2}}{32 \, c^{6}} - \frac{163 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b x e^{3}}{1536 \, c^{7}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} b \arcsin\left(c x\right) e^{3}}{4 \, c^{8}} + \frac{93 \, \sqrt{-c^{2} x^{2} + 1} b x e^{3}}{1024 \, c^{7}} + \frac{{\left(c^{2} x^{2} - 1\right)} b \arcsin\left(c x\right) e^{3}}{2 \, c^{8}} + \frac{93 \, b \arcsin\left(c x\right) e^{3}}{1024 \, c^{8}}"," ",0,"1/8*a*x^8*e^3 + 1/2*a*d*x^6*e^2 + 3/4*a*d^2*x^4*e + 1/4*sqrt(-c^2*x^2 + 1)*b*d^3*x/c + 1/2*(c^2*x^2 - 1)*b*d^3*arcsin(c*x)/c^2 - 3/16*(-c^2*x^2 + 1)^(3/2)*b*d^2*x*e/c^3 + 1/2*(c^2*x^2 - 1)*a*d^3/c^2 + 1/4*b*d^3*arcsin(c*x)/c^2 + 3/4*(c^2*x^2 - 1)^2*b*d^2*arcsin(c*x)*e/c^4 + 15/32*sqrt(-c^2*x^2 + 1)*b*d^2*x*e/c^3 + 3/2*(c^2*x^2 - 1)*b*d^2*arcsin(c*x)*e/c^4 + 1/12*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d*x*e^2/c^5 + 1/2*(c^2*x^2 - 1)^3*b*d*arcsin(c*x)*e^2/c^6 + 15/32*b*d^2*arcsin(c*x)*e/c^4 - 13/48*(-c^2*x^2 + 1)^(3/2)*b*d*x*e^2/c^5 + 3/2*(c^2*x^2 - 1)^2*b*d*arcsin(c*x)*e^2/c^6 + 1/64*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*x*e^3/c^7 + 11/32*sqrt(-c^2*x^2 + 1)*b*d*x*e^2/c^5 + 1/8*(c^2*x^2 - 1)^4*b*arcsin(c*x)*e^3/c^8 + 3/2*(c^2*x^2 - 1)*b*d*arcsin(c*x)*e^2/c^6 + 25/384*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*x*e^3/c^7 + 1/2*(c^2*x^2 - 1)^3*b*arcsin(c*x)*e^3/c^8 + 11/32*b*d*arcsin(c*x)*e^2/c^6 - 163/1536*(-c^2*x^2 + 1)^(3/2)*b*x*e^3/c^7 + 3/4*(c^2*x^2 - 1)^2*b*arcsin(c*x)*e^3/c^8 + 93/1024*sqrt(-c^2*x^2 + 1)*b*x*e^3/c^7 + 1/2*(c^2*x^2 - 1)*b*arcsin(c*x)*e^3/c^8 + 93/1024*b*arcsin(c*x)*e^3/c^8","B",0
618,1,469,0,3.976316," ","integrate((e*x^2+d)^3*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{7} \, a x^{7} e^{3} + \frac{3}{5} \, a d x^{5} e^{2} + a d^{2} x^{3} e + b d^{3} x \arcsin\left(c x\right) + a d^{3} x + \frac{{\left(c^{2} x^{2} - 1\right)} b d^{2} x \arcsin\left(c x\right) e}{c^{2}} + \frac{b d^{2} x \arcsin\left(c x\right) e}{c^{2}} + \frac{\sqrt{-c^{2} x^{2} + 1} b d^{3}}{c} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{2} e}{3 \, c^{3}} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)} b d x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} + \frac{\sqrt{-c^{2} x^{2} + 1} b d^{2} e}{c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b x \arcsin\left(c x\right) e^{3}}{7 \, c^{6}} + \frac{3 \, b d x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d e^{2}}{25 \, c^{5}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} b x \arcsin\left(c x\right) e^{3}}{7 \, c^{6}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d e^{2}}{5 \, c^{5}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)} b x \arcsin\left(c x\right) e^{3}}{7 \, c^{6}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b e^{3}}{49 \, c^{7}} + \frac{3 \, \sqrt{-c^{2} x^{2} + 1} b d e^{2}}{5 \, c^{5}} + \frac{b x \arcsin\left(c x\right) e^{3}}{7 \, c^{6}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b e^{3}}{35 \, c^{7}} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b e^{3}}{7 \, c^{7}} + \frac{\sqrt{-c^{2} x^{2} + 1} b e^{3}}{7 \, c^{7}}"," ",0,"1/7*a*x^7*e^3 + 3/5*a*d*x^5*e^2 + a*d^2*x^3*e + b*d^3*x*arcsin(c*x) + a*d^3*x + (c^2*x^2 - 1)*b*d^2*x*arcsin(c*x)*e/c^2 + b*d^2*x*arcsin(c*x)*e/c^2 + sqrt(-c^2*x^2 + 1)*b*d^3/c + 3/5*(c^2*x^2 - 1)^2*b*d*x*arcsin(c*x)*e^2/c^4 - 1/3*(-c^2*x^2 + 1)^(3/2)*b*d^2*e/c^3 + 6/5*(c^2*x^2 - 1)*b*d*x*arcsin(c*x)*e^2/c^4 + sqrt(-c^2*x^2 + 1)*b*d^2*e/c^3 + 1/7*(c^2*x^2 - 1)^3*b*x*arcsin(c*x)*e^3/c^6 + 3/5*b*d*x*arcsin(c*x)*e^2/c^4 + 3/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d*e^2/c^5 + 3/7*(c^2*x^2 - 1)^2*b*x*arcsin(c*x)*e^3/c^6 - 2/5*(-c^2*x^2 + 1)^(3/2)*b*d*e^2/c^5 + 3/7*(c^2*x^2 - 1)*b*x*arcsin(c*x)*e^3/c^6 + 1/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*e^3/c^7 + 3/5*sqrt(-c^2*x^2 + 1)*b*d*e^2/c^5 + 1/7*b*x*arcsin(c*x)*e^3/c^6 + 3/35*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*e^3/c^7 - 1/7*(-c^2*x^2 + 1)^(3/2)*b*e^3/c^7 + 1/7*sqrt(-c^2*x^2 + 1)*b*e^3/c^7","B",0
619,0,0,0,0.000000," ","integrate((e*x^2+d)^3*(a+b*arcsin(c*x))/x,x, algorithm=""giac"")","\int \frac{{\left(e x^{2} + d\right)}^{3} {\left(b \arcsin\left(c x\right) + a\right)}}{x}\,{d x}"," ",0,"integrate((e*x^2 + d)^3*(b*arcsin(c*x) + a)/x, x)","F",0
620,1,10765,0,54.902062," ","integrate((e*x^2+d)^3*(a+b*arcsin(c*x))/x^2,x, algorithm=""giac"")","-\frac{b c^{18} d^{3} x^{12} \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{12}} - \frac{a c^{18} d^{3} x^{12}}{2 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{12}} + \frac{b c^{17} d^{3} x^{11} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} - \frac{b c^{17} d^{3} x^{11} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} - \frac{3 \, b c^{16} d^{3} x^{10} \arcsin\left(c x\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{10}} - \frac{3 \, a c^{16} d^{3} x^{10}}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{10}} + \frac{5 \, b c^{15} d^{3} x^{9} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} - \frac{5 \, b c^{15} d^{3} x^{9} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} - \frac{15 \, b c^{14} d^{3} x^{8} \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} - \frac{3 \, b c^{15} d^{2} x^{11} e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{6 \, b c^{14} d^{2} x^{10} \arcsin\left(c x\right) e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{10}} - \frac{15 \, a c^{14} d^{3} x^{8}}{2 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} + \frac{6 \, a c^{14} d^{2} x^{10} e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{10}} + \frac{10 \, b c^{13} d^{3} x^{7} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} - \frac{10 \, b c^{13} d^{3} x^{7} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} - \frac{10 \, b c^{12} d^{3} x^{6} \arcsin\left(c x\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{9 \, b c^{13} d^{2} x^{9} e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{24 \, b c^{12} d^{2} x^{8} \arcsin\left(c x\right) e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} - \frac{10 \, a c^{12} d^{3} x^{6}}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{2 \, b c^{13} d x^{11} e^{2}}{3 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{24 \, a c^{12} d^{2} x^{8} e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} + \frac{10 \, b c^{11} d^{3} x^{5} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{10 \, b c^{11} d^{3} x^{5} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{15 \, b c^{10} d^{3} x^{4} \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{6 \, b c^{11} d^{2} x^{7} e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{36 \, b c^{10} d^{2} x^{6} \arcsin\left(c x\right) e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{15 \, a c^{10} d^{3} x^{4}}{2 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{10 \, b c^{11} d x^{9} e^{2}}{3 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{8 \, b c^{10} d x^{8} \arcsin\left(c x\right) e^{2}}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} + \frac{36 \, a c^{10} d^{2} x^{6} e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{5 \, b c^{9} d^{3} x^{3} \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{5 \, b c^{9} d^{3} x^{3} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{3 \, b c^{8} d^{3} x^{2} \arcsin\left(c x\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{8 \, b c^{11} x^{11} e^{3}}{75 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{8 \, a c^{10} d x^{8} e^{2}}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} + \frac{6 \, b c^{9} d^{2} x^{5} e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{24 \, b c^{8} d^{2} x^{4} \arcsin\left(c x\right) e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{3 \, a c^{8} d^{3} x^{2}}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{8 \, b c^{9} d x^{7} e^{2}}{3 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{16 \, b c^{8} d x^{6} \arcsin\left(c x\right) e^{2}}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{24 \, a c^{8} d^{2} x^{4} e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{b c^{7} d^{3} x \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c^{7} d^{3} x \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c^{6} d^{3} \arcsin\left(c x\right)}{2 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)}} - \frac{8 \, b c^{9} x^{9} e^{3}}{15 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{16 \, a c^{8} d x^{6} e^{2}}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{9 \, b c^{7} d^{2} x^{3} e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{6 \, b c^{6} d^{2} x^{2} \arcsin\left(c x\right) e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{a c^{6} d^{3}}{2 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)}} + \frac{8 \, b c^{7} d x^{5} e^{2}}{3 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{8 \, b c^{6} d x^{4} \arcsin\left(c x\right) e^{2}}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{6 \, a c^{6} d^{2} x^{2} e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{16 \, b c^{7} x^{7} e^{3}}{15 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{32 \, b c^{6} x^{6} \arcsin\left(c x\right) e^{3}}{5 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{8 \, a c^{6} d x^{4} e^{2}}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{3 \, b c^{5} d^{2} x e}{{\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} + \frac{32 \, a c^{6} x^{6} e^{3}}{5 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{10 \, b c^{5} d x^{3} e^{2}}{3 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{16 \, b c^{5} x^{5} e^{3}}{15 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{2 \, b c^{3} d x e^{2}}{3 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} + \frac{8 \, b c^{3} x^{3} e^{3}}{15 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{8 \, b c x e^{3}}{75 \, {\left(\frac{c^{16} x^{11}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} + \frac{5 \, c^{14} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{10 \, c^{12} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{10 \, c^{10} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{5 \, c^{8} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{c^{6} x}{\sqrt{-c^{2} x^{2} + 1} + 1}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}}"," ",0,"-1/2*b*c^18*d^3*x^12*arcsin(c*x)/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^12) - 1/2*a*c^18*d^3*x^12/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^12) + b*c^17*d^3*x^11*log(abs(c)*abs(x))/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^11) - b*c^17*d^3*x^11*log(sqrt(-c^2*x^2 + 1) + 1)/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^11) - 3*b*c^16*d^3*x^10*arcsin(c*x)/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^10) - 3*a*c^16*d^3*x^10/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^10) + 5*b*c^15*d^3*x^9*log(abs(c)*abs(x))/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^9) - 5*b*c^15*d^3*x^9*log(sqrt(-c^2*x^2 + 1) + 1)/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^9) - 15/2*b*c^14*d^3*x^8*arcsin(c*x)/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^8) - 3*b*c^15*d^2*x^11*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^11) + 6*b*c^14*d^2*x^10*arcsin(c*x)*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^10) - 15/2*a*c^14*d^3*x^8/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^8) + 6*a*c^14*d^2*x^10*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^10) + 10*b*c^13*d^3*x^7*log(abs(c)*abs(x))/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) - 10*b*c^13*d^3*x^7*log(sqrt(-c^2*x^2 + 1) + 1)/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) - 10*b*c^12*d^3*x^6*arcsin(c*x)/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) - 9*b*c^13*d^2*x^9*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^9) + 24*b*c^12*d^2*x^8*arcsin(c*x)*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^8) - 10*a*c^12*d^3*x^6/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) - 2/3*b*c^13*d*x^11*e^2/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^11) + 24*a*c^12*d^2*x^8*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^8) + 10*b*c^11*d^3*x^5*log(abs(c)*abs(x))/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) - 10*b*c^11*d^3*x^5*log(sqrt(-c^2*x^2 + 1) + 1)/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) - 15/2*b*c^10*d^3*x^4*arcsin(c*x)/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) - 6*b*c^11*d^2*x^7*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) + 36*b*c^10*d^2*x^6*arcsin(c*x)*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) - 15/2*a*c^10*d^3*x^4/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) - 10/3*b*c^11*d*x^9*e^2/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^9) + 8*b*c^10*d*x^8*arcsin(c*x)*e^2/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^8) + 36*a*c^10*d^2*x^6*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) + 5*b*c^9*d^3*x^3*log(abs(c)*abs(x))/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) - 5*b*c^9*d^3*x^3*log(sqrt(-c^2*x^2 + 1) + 1)/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) - 3*b*c^8*d^3*x^2*arcsin(c*x)/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) - 8/75*b*c^11*x^11*e^3/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^11) + 8*a*c^10*d*x^8*e^2/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^8) + 6*b*c^9*d^2*x^5*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) + 24*b*c^8*d^2*x^4*arcsin(c*x)*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) - 3*a*c^8*d^3*x^2/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) - 8/3*b*c^9*d*x^7*e^2/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) + 16*b*c^8*d*x^6*arcsin(c*x)*e^2/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) + 24*a*c^8*d^2*x^4*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) + b*c^7*d^3*x*log(abs(c)*abs(x))/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - b*c^7*d^3*x*log(sqrt(-c^2*x^2 + 1) + 1)/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) - 1/2*b*c^6*d^3*arcsin(c*x)/(c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1)) - 8/15*b*c^9*x^9*e^3/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^9) + 16*a*c^8*d*x^6*e^2/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) + 9*b*c^7*d^2*x^3*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) + 6*b*c^6*d^2*x^2*arcsin(c*x)*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) - 1/2*a*c^6*d^3/(c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1)) + 8/3*b*c^7*d*x^5*e^2/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) + 8*b*c^6*d*x^4*arcsin(c*x)*e^2/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) + 6*a*c^6*d^2*x^2*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^2) - 16/15*b*c^7*x^7*e^3/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^7) + 32/5*b*c^6*x^6*arcsin(c*x)*e^3/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) + 8*a*c^6*d*x^4*e^2/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^4) + 3*b*c^5*d^2*x*e/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) + 32/5*a*c^6*x^6*e^3/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^6) + 10/3*b*c^5*d*x^3*e^2/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) + 16/15*b*c^5*x^5*e^3/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^5) + 2/3*b*c^3*d*x*e^2/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)) + 8/15*b*c^3*x^3*e^3/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1)^3) + 8/75*b*c*x*e^3/((c^16*x^11/(sqrt(-c^2*x^2 + 1) + 1)^11 + 5*c^14*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 10*c^12*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 10*c^10*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + 5*c^8*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3 + c^6*x/(sqrt(-c^2*x^2 + 1) + 1))*(sqrt(-c^2*x^2 + 1) + 1))","B",0
621,0,0,0,0.000000," ","integrate((e*x^2+d)^3*(a+b*arcsin(c*x))/x^3,x, algorithm=""giac"")","\int \frac{{\left(e x^{2} + d\right)}^{3} {\left(b \arcsin\left(c x\right) + a\right)}}{x^{3}}\,{d x}"," ",0,"integrate((e*x^2 + d)^3*(b*arcsin(c*x) + a)/x^3, x)","F",0
622,1,7973,0,159.581366," ","integrate((e*x^2+d)^3*(a+b*arcsin(c*x))/x^4,x, algorithm=""giac"")","-\frac{b c^{18} d^{3} x^{12} \arcsin\left(c x\right)}{24 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{12}} - \frac{a c^{18} d^{3} x^{12}}{24 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{12}} + \frac{b c^{17} d^{3} x^{11}}{24 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{11}} - \frac{b c^{16} d^{3} x^{10} \arcsin\left(c x\right)}{4 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{10}} - \frac{a c^{16} d^{3} x^{10}}{4 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{10}} + \frac{b c^{15} d^{3} x^{9} \log\left({\left| c \right|} {\left| x \right|}\right)}{6 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} - \frac{b c^{15} d^{3} x^{9} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{6 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{b c^{15} d^{3} x^{9}}{8 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} - \frac{5 \, b c^{14} d^{3} x^{8} \arcsin\left(c x\right)}{8 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} - \frac{3 \, b c^{14} d^{2} x^{10} \arcsin\left(c x\right) e}{2 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{10}} - \frac{5 \, a c^{14} d^{3} x^{8}}{8 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} - \frac{3 \, a c^{14} d^{2} x^{10} e}{2 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{10}} + \frac{b c^{13} d^{3} x^{7} \log\left({\left| c \right|} {\left| x \right|}\right)}{2 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, b c^{13} d^{2} x^{9} e \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} - \frac{b c^{13} d^{3} x^{7} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} - \frac{3 \, b c^{13} d^{2} x^{9} e \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{b c^{13} d^{3} x^{7}}{12 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} - \frac{5 \, b c^{12} d^{3} x^{6} \arcsin\left(c x\right)}{6 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{6 \, b c^{12} d^{2} x^{8} \arcsin\left(c x\right) e}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} - \frac{5 \, a c^{12} d^{3} x^{6}}{6 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{6 \, a c^{12} d^{2} x^{8} e}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} + \frac{b c^{11} d^{3} x^{5} \log\left({\left| c \right|} {\left| x \right|}\right)}{2 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{9 \, b c^{11} d^{2} x^{7} e \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} - \frac{b c^{11} d^{3} x^{5} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{9 \, b c^{11} d^{2} x^{7} e \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} - \frac{b c^{11} d^{3} x^{5}}{12 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{5 \, b c^{10} d^{3} x^{4} \arcsin\left(c x\right)}{8 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{9 \, b c^{10} d^{2} x^{6} \arcsin\left(c x\right) e}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{5 \, a c^{10} d^{3} x^{4}}{8 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{3 \, b c^{11} d x^{9} e^{2}}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{6 \, b c^{10} d x^{8} \arcsin\left(c x\right) e^{2}}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} - \frac{9 \, a c^{10} d^{2} x^{6} e}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{b c^{9} d^{3} x^{3} \log\left({\left| c \right|} {\left| x \right|}\right)}{6 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{9 \, b c^{9} d^{2} x^{5} e \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{b c^{9} d^{3} x^{3} \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{6 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{9 \, b c^{9} d^{2} x^{5} e \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} - \frac{b c^{9} d^{3} x^{3}}{8 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{b c^{8} d^{3} x^{2} \arcsin\left(c x\right)}{4 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} + \frac{6 \, a c^{10} d x^{8} e^{2}}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{8}} - \frac{6 \, b c^{8} d^{2} x^{4} \arcsin\left(c x\right) e}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{a c^{8} d^{3} x^{2}}{4 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{3 \, b c^{9} d x^{7} e^{2}}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{12 \, b c^{8} d x^{6} \arcsin\left(c x\right) e^{2}}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{6 \, a c^{8} d^{2} x^{4} e}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{3 \, b c^{7} d^{2} x^{3} e \log\left({\left| c \right|} {\left| x \right|}\right)}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{3 \, b c^{7} d^{2} x^{3} e \log\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} - \frac{b c^{7} d^{3} x}{24 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}} - \frac{b c^{6} d^{3} \arcsin\left(c x\right)}{24 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)}} - \frac{2 \, b c^{9} x^{9} e^{3}}{9 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{12 \, a c^{8} d x^{6} e^{2}}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} - \frac{3 \, b c^{6} d^{2} x^{2} \arcsin\left(c x\right) e}{2 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{a c^{6} d^{3}}{24 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)}} + \frac{3 \, b c^{7} d x^{5} e^{2}}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{6 \, b c^{6} d x^{4} \arcsin\left(c x\right) e^{2}}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} - \frac{3 \, a c^{6} d^{2} x^{2} e}{2 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{2}} - \frac{2 \, b c^{7} x^{7} e^{3}}{3 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{8 \, b c^{6} x^{6} \arcsin\left(c x\right) e^{3}}{3 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{6 \, a c^{6} d x^{4} e^{2}}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{4}} + \frac{8 \, a c^{6} x^{6} e^{3}}{3 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{6}} + \frac{3 \, b c^{5} d x^{3} e^{2}}{{\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}} + \frac{2 \, b c^{5} x^{5} e^{3}}{3 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{2 \, b c^{3} x^{3} e^{3}}{9 \, {\left(\frac{c^{12} x^{9}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{9}} + \frac{3 \, c^{10} x^{7}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{7}} + \frac{3 \, c^{8} x^{5}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{5}} + \frac{c^{6} x^{3}}{{\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}\right)} {\left(\sqrt{-c^{2} x^{2} + 1} + 1\right)}^{3}}"," ",0,"-1/24*b*c^18*d^3*x^12*arcsin(c*x)/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^12) - 1/24*a*c^18*d^3*x^12/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^12) + 1/24*b*c^17*d^3*x^11/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^11) - 1/4*b*c^16*d^3*x^10*arcsin(c*x)/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^10) - 1/4*a*c^16*d^3*x^10/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^10) + 1/6*b*c^15*d^3*x^9*log(abs(c)*abs(x))/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^9) - 1/6*b*c^15*d^3*x^9*log(sqrt(-c^2*x^2 + 1) + 1)/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^9) + 1/8*b*c^15*d^3*x^9/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^9) - 5/8*b*c^14*d^3*x^8*arcsin(c*x)/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^8) - 3/2*b*c^14*d^2*x^10*arcsin(c*x)*e/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^10) - 5/8*a*c^14*d^3*x^8/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^8) - 3/2*a*c^14*d^2*x^10*e/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^10) + 1/2*b*c^13*d^3*x^7*log(abs(c)*abs(x))/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^7) + 3*b*c^13*d^2*x^9*e*log(abs(c)*abs(x))/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^9) - 1/2*b*c^13*d^3*x^7*log(sqrt(-c^2*x^2 + 1) + 1)/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^7) - 3*b*c^13*d^2*x^9*e*log(sqrt(-c^2*x^2 + 1) + 1)/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^9) + 1/12*b*c^13*d^3*x^7/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^7) - 5/6*b*c^12*d^3*x^6*arcsin(c*x)/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^6) - 6*b*c^12*d^2*x^8*arcsin(c*x)*e/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^8) - 5/6*a*c^12*d^3*x^6/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^6) - 6*a*c^12*d^2*x^8*e/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^8) + 1/2*b*c^11*d^3*x^5*log(abs(c)*abs(x))/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) + 9*b*c^11*d^2*x^7*e*log(abs(c)*abs(x))/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^7) - 1/2*b*c^11*d^3*x^5*log(sqrt(-c^2*x^2 + 1) + 1)/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) - 9*b*c^11*d^2*x^7*e*log(sqrt(-c^2*x^2 + 1) + 1)/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^7) - 1/12*b*c^11*d^3*x^5/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) - 5/8*b*c^10*d^3*x^4*arcsin(c*x)/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^4) - 9*b*c^10*d^2*x^6*arcsin(c*x)*e/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^6) - 5/8*a*c^10*d^3*x^4/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^4) - 3*b*c^11*d*x^9*e^2/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^9) + 6*b*c^10*d*x^8*arcsin(c*x)*e^2/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^8) - 9*a*c^10*d^2*x^6*e/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^6) + 1/6*b*c^9*d^3*x^3*log(abs(c)*abs(x))/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3) + 9*b*c^9*d^2*x^5*e*log(abs(c)*abs(x))/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) - 1/6*b*c^9*d^3*x^3*log(sqrt(-c^2*x^2 + 1) + 1)/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3) - 9*b*c^9*d^2*x^5*e*log(sqrt(-c^2*x^2 + 1) + 1)/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) - 1/8*b*c^9*d^3*x^3/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3) - 1/4*b*c^8*d^3*x^2*arcsin(c*x)/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^2) + 6*a*c^10*d*x^8*e^2/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^8) - 6*b*c^8*d^2*x^4*arcsin(c*x)*e/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^4) - 1/4*a*c^8*d^3*x^2/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^2) - 3*b*c^9*d*x^7*e^2/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^7) + 12*b*c^8*d*x^6*arcsin(c*x)*e^2/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^6) - 6*a*c^8*d^2*x^4*e/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^4) + 3*b*c^7*d^2*x^3*e*log(abs(c)*abs(x))/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3) - 3*b*c^7*d^2*x^3*e*log(sqrt(-c^2*x^2 + 1) + 1)/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3) - 1/24*b*c^7*d^3*x/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)) - 1/24*b*c^6*d^3*arcsin(c*x)/(c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3) - 2/9*b*c^9*x^9*e^3/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^9) + 12*a*c^8*d*x^6*e^2/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^6) - 3/2*b*c^6*d^2*x^2*arcsin(c*x)*e/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^2) - 1/24*a*c^6*d^3/(c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3) + 3*b*c^7*d*x^5*e^2/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) + 6*b*c^6*d*x^4*arcsin(c*x)*e^2/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^4) - 3/2*a*c^6*d^2*x^2*e/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^2) - 2/3*b*c^7*x^7*e^3/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^7) + 8/3*b*c^6*x^6*arcsin(c*x)*e^3/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^6) + 6*a*c^6*d*x^4*e^2/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^4) + 8/3*a*c^6*x^6*e^3/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^6) + 3*b*c^5*d*x^3*e^2/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3) + 2/3*b*c^5*x^5*e^3/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^5) + 2/9*b*c^3*x^3*e^3/((c^12*x^9/(sqrt(-c^2*x^2 + 1) + 1)^9 + 3*c^10*x^7/(sqrt(-c^2*x^2 + 1) + 1)^7 + 3*c^8*x^5/(sqrt(-c^2*x^2 + 1) + 1)^5 + c^6*x^3/(sqrt(-c^2*x^2 + 1) + 1)^3)*(sqrt(-c^2*x^2 + 1) + 1)^3)","B",0
623,1,744,0,1.109494," ","integrate((e*x^2+d)^4*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{1}{9} \, a x^{9} e^{4} + \frac{4}{7} \, a d x^{7} e^{3} + \frac{6}{5} \, a d^{2} x^{5} e^{2} + \frac{4}{3} \, a d^{3} x^{3} e + b d^{4} x \arcsin\left(c x\right) + a d^{4} x + \frac{4 \, {\left(c^{2} x^{2} - 1\right)} b d^{3} x \arcsin\left(c x\right) e}{3 \, c^{2}} + \frac{4 \, b d^{3} x \arcsin\left(c x\right) e}{3 \, c^{2}} + \frac{\sqrt{-c^{2} x^{2} + 1} b d^{4}}{c} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d^{2} x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} - \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{3} e}{9 \, c^{3}} + \frac{12 \, {\left(c^{2} x^{2} - 1\right)} b d^{2} x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} + \frac{4 \, \sqrt{-c^{2} x^{2} + 1} b d^{3} e}{3 \, c^{3}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{3} b d x \arcsin\left(c x\right) e^{3}}{7 \, c^{6}} + \frac{6 \, b d^{2} x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d^{2} e^{2}}{25 \, c^{5}} + \frac{12 \, {\left(c^{2} x^{2} - 1\right)}^{2} b d x \arcsin\left(c x\right) e^{3}}{7 \, c^{6}} - \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d^{2} e^{2}}{5 \, c^{5}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} b x \arcsin\left(c x\right) e^{4}}{9 \, c^{8}} + \frac{12 \, {\left(c^{2} x^{2} - 1\right)} b d x \arcsin\left(c x\right) e^{3}}{7 \, c^{6}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b d e^{3}}{49 \, c^{7}} + \frac{6 \, \sqrt{-c^{2} x^{2} + 1} b d^{2} e^{2}}{5 \, c^{5}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{3} b x \arcsin\left(c x\right) e^{4}}{9 \, c^{8}} + \frac{4 \, b d x \arcsin\left(c x\right) e^{3}}{7 \, c^{6}} + \frac{12 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b d e^{3}}{35 \, c^{7}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} b x \arcsin\left(c x\right) e^{4}}{3 \, c^{8}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{4} \sqrt{-c^{2} x^{2} + 1} b e^{4}}{81 \, c^{9}} - \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b d e^{3}}{7 \, c^{7}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)} b x \arcsin\left(c x\right) e^{4}}{9 \, c^{8}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b e^{4}}{63 \, c^{9}} + \frac{4 \, \sqrt{-c^{2} x^{2} + 1} b d e^{3}}{7 \, c^{7}} + \frac{b x \arcsin\left(c x\right) e^{4}}{9 \, c^{8}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b e^{4}}{15 \, c^{9}} - \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b e^{4}}{27 \, c^{9}} + \frac{\sqrt{-c^{2} x^{2} + 1} b e^{4}}{9 \, c^{9}}"," ",0,"1/9*a*x^9*e^4 + 4/7*a*d*x^7*e^3 + 6/5*a*d^2*x^5*e^2 + 4/3*a*d^3*x^3*e + b*d^4*x*arcsin(c*x) + a*d^4*x + 4/3*(c^2*x^2 - 1)*b*d^3*x*arcsin(c*x)*e/c^2 + 4/3*b*d^3*x*arcsin(c*x)*e/c^2 + sqrt(-c^2*x^2 + 1)*b*d^4/c + 6/5*(c^2*x^2 - 1)^2*b*d^2*x*arcsin(c*x)*e^2/c^4 - 4/9*(-c^2*x^2 + 1)^(3/2)*b*d^3*e/c^3 + 12/5*(c^2*x^2 - 1)*b*d^2*x*arcsin(c*x)*e^2/c^4 + 4/3*sqrt(-c^2*x^2 + 1)*b*d^3*e/c^3 + 4/7*(c^2*x^2 - 1)^3*b*d*x*arcsin(c*x)*e^3/c^6 + 6/5*b*d^2*x*arcsin(c*x)*e^2/c^4 + 6/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d^2*e^2/c^5 + 12/7*(c^2*x^2 - 1)^2*b*d*x*arcsin(c*x)*e^3/c^6 - 4/5*(-c^2*x^2 + 1)^(3/2)*b*d^2*e^2/c^5 + 1/9*(c^2*x^2 - 1)^4*b*x*arcsin(c*x)*e^4/c^8 + 12/7*(c^2*x^2 - 1)*b*d*x*arcsin(c*x)*e^3/c^6 + 4/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*d*e^3/c^7 + 6/5*sqrt(-c^2*x^2 + 1)*b*d^2*e^2/c^5 + 4/9*(c^2*x^2 - 1)^3*b*x*arcsin(c*x)*e^4/c^8 + 4/7*b*d*x*arcsin(c*x)*e^3/c^6 + 12/35*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*d*e^3/c^7 + 2/3*(c^2*x^2 - 1)^2*b*x*arcsin(c*x)*e^4/c^8 + 1/81*(c^2*x^2 - 1)^4*sqrt(-c^2*x^2 + 1)*b*e^4/c^9 - 4/7*(-c^2*x^2 + 1)^(3/2)*b*d*e^3/c^7 + 4/9*(c^2*x^2 - 1)*b*x*arcsin(c*x)*e^4/c^8 + 4/63*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b*e^4/c^9 + 4/7*sqrt(-c^2*x^2 + 1)*b*d*e^3/c^7 + 1/9*b*x*arcsin(c*x)*e^4/c^8 + 2/15*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*e^4/c^9 - 4/27*(-c^2*x^2 + 1)^(3/2)*b*e^4/c^9 + 1/9*sqrt(-c^2*x^2 + 1)*b*e^4/c^9","B",0
624,-2,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))/(e*x^2+d),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to divide, perhaps due to rounding 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/ %%%{-4096,[0,2,0,0,0,64,2,18]%%%}+%%%{-4096,[0,2,0,0,0,62,1,19]%%%}+%%%{-1024,[0,2,0,0,0,60,0,20]%%%}+%%%{-1024,[0,0,2,0,2,64,5,13]%%%}+%%%{-2560,[0,0,2,0,2,62,4,14]%%%}+%%%{-2368,[0,0,2,0,2,60,3,15]%%%}+%%%{-992,[0,0,2,0,2,58,2,16]%%%}+%%%{-184,[0,0,2,0,2,56,1,17]%%%}+%%%{-12,[0,0,2,0,2,54,0,18]%%%}+%%%{-2048,[0,0,1,1,1,64,5,13]%%%}+%%%{-5120,[0,0,1,1,1,62,4,14]%%%}+%%%{-4736,[0,0,1,1,1,60,3,15]%%%}+%%%{-1984,[0,0,1,1,1,58,2,16]%%%}+%%%{-368,[0,0,1,1,1,56,1,17]%%%}+%%%{-24,[0,0,1,1,1,54,0,18]%%%}+%%%{-1024,[0,0,0,2,0,64,5,13]%%%}+%%%{-2560,[0,0,0,2,0,62,4,14]%%%}+%%%{-2368,[0,0,0,2,0,60,3,15]%%%}+%%%{-992,[0,0,0,2,0,58,2,16]%%%}+%%%{-184,[0,0,0,2,0,56,1,17]%%%}+%%%{-12,[0,0,0,2,0,54,0,18]%%%} Error: Bad Argument Value","F(-2)",0
625,0,0,0,0.000000," ","integrate(x^3*(a+b*arcsin(c*x))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{3}}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^3/(e*x^2 + d), x)","F",0
626,-2,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))/(e*x^2+d),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to divide, perhaps due to rounding error%%%{4294967296,[0,8,0,0,0,64,8,40]%%%}+%%%{17179869184,[0,8,0,0,0,62,7,41]%%%}+%%%{27917287424,[0,8,0,0,0,60,6,42]%%%}+%%%{23622320128,[0,8,0,0,0,58,5,43]%%%}+%%%{11005853696,[0,8,0,0,0,56,4,44]%%%}+%%%{2684354560,[0,8,0,0,0,54,3,45]%%%}+%%%{268435456,[0,8,0,0,0,52,2,46]%%%}+%%%{3221225472,[0,6,2,0,2,64,9,37]%%%}+%%%{14495514624,[0,6,2,0,2,62,8,38]%%%}+%%%{27313307648,[0,6,2,0,2,60,7,39]%%%}+%%%{27950841856,[0,6,2,0,2,58,6,40]%%%}+%%%{16810770432,[0,6,2,0,2,56,5,41]%%%}+%%%{5972688896,[0,6,2,0,2,54,4,42]%%%}+%%%{1178599424,[0,6,2,0,2,52,3,43]%%%}+%%%{106954752,[0,6,2,0,2,50,2,44]%%%}+%%%{2097152,[0,6,2,0,2,48,1,45]%%%}+%%%{6442450944,[0,6,1,1,1,64,9,37]%%%}+%%%{28991029248,[0,6,1,1,1,62,8,38]%%%}+%%%{54626615296,[0,6,1,1,1,60,7,39]%%%}+%%%{55901683712,[0,6,1,1,1,58,6,40]%%%}+%%%{33621540864,[0,6,1,1,1,56,5,41]%%%}+%%%{11945377792,[0,6,1,1,1,54,4,42]%%%}+%%%{2357198848,[0,6,1,1,1,52,3,43]%%%}+%%%{213909504,[0,6,1,1,1,50,2,44]%%%}+%%%{4194304,[0,6,1,1,1,48,1,45]%%%}+%%%{3221225472,[0,6,0,2,0,64,9,37]%%%}+%%%{14495514624,[0,6,0,2,0,62,8,38]%%%}+%%%{27313307648,[0,6,0,2,0,60,7,39]%%%}+%%%{27950841856,[0,6,0,2,0,58,6,40]%%%}+%%%{16810770432,[0,6,0,2,0,56,5,41]%%%}+%%%{5972688896,[0,6,0,2,0,54,4,42]%%%}+%%%{1178599424,[0,6,0,2,0,52,3,43]%%%}+%%%{106954752,[0,6,0,2,0,50,2,44]%%%}+%%%{2097152,[0,6,0,2,0,48,1,45]%%%}+%%%{805306368,[0,4,4,0,4,64,10,34]%%%}+%%%{4026531840,[0,4,4,0,4,62,9,35]%%%}+%%%{8623489024,[0,4,4,0,4,60,8,36]%%%}+%%%{18446744079749349376,[0,4,4,0,4,58,7,37]%%%}+%%%{7590641664,[0,4,4,0,4,56,6,38]%%%}+%%%{3511681024,[0,4,4,0,4,54,5,39]%%%}+%%%{1009057792,[0,4,4,0,4,52,4,40]%%%}+%%%{169476096,[0,4,4,0,4,50,3,41]%%%}+%%%{14385152,[0,4,4,0,4,48,2,42]%%%}+%%%{425984,[0,4,4,0,4,46,1,43]%%%}+%%%{4096,[0,4,4,0,4,44,0,44]%%%}+%%%{3221225472,[0,4,3,1,3,64,10,34]%%%}+%%%{16106127360,[0,4,3,1,3,62,9,35]%%%}+%%%{34493956096,[0,4,3,1,3,60,8,36]%%%}+%%%{41339060224,[0,4,3,1,3,58,7,37]%%%}+%%%{30362566656,[0,4,3,1,3,56,6,38]%%%}+%%%{14046724096,[0,4,3,1,3,54,5,39]%%%}+%%%{4036231168,[0,4,3,1,3,52,4,40]%%%}+%%%{677904384,[0,4,3,1,3,50,3,41]%%%}+%%%{57540608,[0,4,3,1,3,48,2,42]%%%}+%%%{1703936,[0,4,3,1,3,46,1,43]%%%}+%%%{16384,[0,4,3,1,3,44,0,44]%%%}+%%%{4831838208,[0,4,2,2,2,64,10,34]%%%}+%%%{24159191040,[0,4,2,2,2,62,9,35]%%%}+%%%{51740934144,[0,4,2,2,2,60,8,36]%%%}+%%%{18446744131423174656,[0,4,2,2,2,58,7,37]%%%}+%%%{45543849984,[0,4,2,2,2,56,6,38]%%%}+%%%{21070086144,[0,4,2,2,2,54,5,39]%%%}+%%%{6054346752,[0,4,2,2,2,52,4,40]%%%}+%%%{1016856576,[0,4,2,2,2,50,3,41]%%%}+%%%{86310912,[0,4,2,2,2,48,2,42]%%%}+%%%{2555904,[0,4,2,2,2,46,1,43]%%%}+%%%{24576,[0,4,2,2,2,44,0,44]%%%}+%%%{3221225472,[0,4,1,3,1,64,10,34]%%%}+%%%{16106127360,[0,4,1,3,1,62,9,35]%%%}+%%%{34493956096,[0,4,1,3,1,60,8,36]%%%}+%%%{41339060224,[0,4,1,3,1,58,7,37]%%%}+%%%{30362566656,[0,4,1,3,1,56,6,38]%%%}+%%%{14046724096,[0,4,1,3,1,54,5,39]%%%}+%%%{4036231168,[0,4,1,3,1,52,4,40]%%%}+%%%{677904384,[0,4,1,3,1,50,3,41]%%%}+%%%{57540608,[0,4,1,3,1,48,2,42]%%%}+%%%{1703936,[0,4,1,3,1,46,1,43]%%%}+%%%{16384,[0,4,1,3,1,44,0,44]%%%}+%%%{805306368,[0,4,0,4,0,64,10,34]%%%}+%%%{4026531840,[0,4,0,4,0,62,9,35]%%%}+%%%{8623489024,[0,4,0,4,0,60,8,36]%%%}+%%%{18446744079749349376,[0,4,0,4,0,58,7,37]%%%}+%%%{7590641664,[0,4,0,4,0,56,6,38]%%%}+%%%{3511681024,[0,4,0,4,0,54,5,39]%%%}+%%%{1009057792,[0,4,0,4,0,52,4,40]%%%}+%%%{169476096,[0,4,0,4,0,50,3,41]%%%}+%%%{14385152,[0,4,0,4,0,48,2,42]%%%}+%%%{425984,[0,4,0,4,0,46,1,43]%%%}+%%%{4096,[0,4,0,4,0,44,0,44]%%%}+%%%{67108864,[0,2,6,0,6,64,11,31]%%%}+%%%{369098752,[0,2,6,0,6,62,10,32]%%%}+%%%{884998144,[0,2,6,0,6,60,9,33]%%%}+%%%{1214251008,[0,2,6,0,6,58,8,34]%%%}+%%%{1051459584,[0,2,6,0,6,56,7,35]%%%}+%%%{597295104,[0,2,6,0,6,54,6,36]%%%}+%%%{223854592,[0,2,6,0,6,52,5,37]%%%}+%%%{54157312,[0,2,6,0,6,50,4,38]%%%}+%%%{8013824,[0,2,6,0,6,48,3,39]%%%}+%%%{658432,[0,2,6,0,6,46,2,40]%%%}+%%%{27136,[0,2,6,0,6,44,1,41]%%%}+%%%{768,[0,2,6,0,6,42,0,42]%%%}+%%%{402653184,[0,2,5,1,5,64,11,31]%%%}+%%%{2214592512,[0,2,5,1,5,62,10,32]%%%}+%%%{5309988864,[0,2,5,1,5,60,9,33]%%%}+%%%{7285506048,[0,2,5,1,5,58,8,34]%%%}+%%%{6308757504,[0,2,5,1,5,56,7,35]%%%}+%%%{3583770624,[0,2,5,1,5,54,6,36]%%%}+%%%{1343127552,[0,2,5,1,5,52,5,37]%%%}+%%%{324943872,[0,2,5,1,5,50,4,38]%%%}+%%%{48082944,[0,2,5,1,5,48,3,39]%%%}+%%%{3950592,[0,2,5,1,5,46,2,40]%%%}+%%%{162816,[0,2,5,1,5,44,1,41]%%%}+%%%{4608,[0,2,5,1,5,42,0,42]%%%}+%%%{1006632960,[0,2,4,2,4,64,11,31]%%%}+%%%{5536481280,[0,2,4,2,4,62,10,32]%%%}+%%%{13274972160,[0,2,4,2,4,60,9,33]%%%}+%%%{18213765120,[0,2,4,2,4,58,8,34]%%%}+%%%{15771893760,[0,2,4,2,4,56,7,35]%%%}+%%%{8959426560,[0,2,4,2,4,54,6,36]%%%}+%%%{3357818880,[0,2,4,2,4,52,5,37]%%%}+%%%{812359680,[0,2,4,2,4,50,4,38]%%%}+%%%{120207360,[0,2,4,2,4,48,3,39]%%%}+%%%{9876480,[0,2,4,2,4,46,2,40]%%%}+%%%{407040,[0,2,4,2,4,44,1,41]%%%}+%%%{11520,[0,2,4,2,4,42,0,42]%%%}+%%%{1342177280,[0,2,3,3,3,64,11,31]%%%}+%%%{7381975040,[0,2,3,3,3,62,10,32]%%%}+%%%{17699962880,[0,2,3,3,3,60,9,33]%%%}+%%%{24285020160,[0,2,3,3,3,58,8,34]%%%}+%%%{21029191680,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/ %%%{-256,[0,2,0,0,0,16,2,10]%%%}+%%%{-256,[0,2,0,0,0,14,1,11]%%%}+%%%{-64,[0,2,0,0,0,12,0,12]%%%}+%%%{-64,[0,0,2,0,2,16,3,7]%%%}+%%%{-96,[0,0,2,0,2,14,2,8]%%%}+%%%{-44,[0,0,2,0,2,12,1,9]%%%}+%%%{-6,[0,0,2,0,2,10,0,10]%%%}+%%%{-128,[0,0,1,1,1,16,3,7]%%%}+%%%{-192,[0,0,1,1,1,14,2,8]%%%}+%%%{-88,[0,0,1,1,1,12,1,9]%%%}+%%%{-12,[0,0,1,1,1,10,0,10]%%%}+%%%{-64,[0,0,0,2,0,16,3,7]%%%}+%%%{-96,[0,0,0,2,0,14,2,8]%%%}+%%%{-44,[0,0,0,2,0,12,1,9]%%%}+%%%{-6,[0,0,0,2,0,10,0,10]%%%} Error: Bad Argument Value","F(-2)",0
627,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x/(e*x^2 + d), x)","F",0
628,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/(e*x^2 + d), x)","F",0
629,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x/(e*x^2+d),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(e x^{2} + d\right)} x}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((e*x^2 + d)*x), x)","F",0
630,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^2/(e*x^2+d),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
631,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^3/(e*x^2+d),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
632,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^4/(e*x^2+d),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(e x^{2} + d\right)} x^{4}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/((e*x^2 + d)*x^4), x)","F",0
633,0,0,0,0.000000," ","integrate(x^3*(a+b*arcsin(c*x))/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{3}}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^3/(e*x^2 + d)^2, x)","F",0
634,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x/(e*x^2 + d)^2, x)","F",0
635,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x/(e*x^2+d)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
636,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^3/(e*x^2+d)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
637,0,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{4}}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^4/(e*x^2 + d)^2, x)","F",0
638,-1,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))/(e*x^2+d)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
639,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/(e*x^2 + d)^2, x)","F",0
640,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^2/(e*x^2+d)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
641,0,0,0,0.000000," ","integrate(x^5*(a+b*arcsin(c*x))/(e*x^2+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{5}}{{\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^5/(e*x^2 + d)^3, x)","F",0
642,0,0,0,0.000000," ","integrate(x^3*(a+b*arcsin(c*x))/(e*x^2+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{3}}{{\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^3/(e*x^2 + d)^3, x)","F",0
643,0,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x))/(e*x^2+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x}{{\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x/(e*x^2 + d)^3, x)","F",0
644,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x/(e*x^2+d)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
645,-1,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/x^3/(e*x^2+d)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
646,0,0,0,0.000000," ","integrate(x^4*(a+b*arcsin(c*x))/(e*x^2+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{4}}{{\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^4/(e*x^2 + d)^3, x)","F",0
647,0,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x))/(e*x^2+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} x^{2}}{{\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*x^2/(e*x^2 + d)^3, x)","F",0
648,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(e*x^2+d)^3,x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/(e*x^2 + d)^3, x)","F",0
649,0,0,0,0.000000," ","integrate((e*x^2+d)^(1/2)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \sqrt{e x^{2} + d} {\left(b \arcsin\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*(b*arcsin(c*x) + a), x)","F",0
650,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{\sqrt{e x^{2} + d}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/sqrt(e*x^2 + d), x)","F",0
651,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(e*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/(e*x^2 + d)^(3/2), x)","F",0
652,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(e*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/(e*x^2 + d)^(5/2), x)","F",0
653,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))/(e*x^2+d)^(7/2),x, algorithm=""giac"")","\int \frac{b \arcsin\left(c x\right) + a}{{\left(e x^{2} + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)/(e*x^2 + d)^(7/2), x)","F",0
654,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)^3*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int {\left(e x^{2} + d\right)}^{3} {\left(b \arcsin\left(c x\right) + a\right)} \left(f x\right)^{m}\,{d x}"," ",0,"integrate((e*x^2 + d)^3*(b*arcsin(c*x) + a)*(f*x)^m, x)","F",0
655,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)^2*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int {\left(e x^{2} + d\right)}^{2} {\left(b \arcsin\left(c x\right) + a\right)} \left(f x\right)^{m}\,{d x}"," ",0,"integrate((e*x^2 + d)^2*(b*arcsin(c*x) + a)*(f*x)^m, x)","F",0
656,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)*(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int {\left(e x^{2} + d\right)} {\left(b \arcsin\left(c x\right) + a\right)} \left(f x\right)^{m}\,{d x}"," ",0,"integrate((e*x^2 + d)*(b*arcsin(c*x) + a)*(f*x)^m, x)","F",0
657,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*arcsin(c*x))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} \left(f x\right)^{m}}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*(f*x)^m/(e*x^2 + d), x)","F",0
658,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*arcsin(c*x))/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)} \left(f x\right)^{m}}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)*(f*x)^m/(e*x^2 + d)^2, x)","F",0
659,1,1216,0,0.724809," ","integrate((e*x^2+d)^3*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{1}{7} \, a^{2} x^{7} e^{3} + \frac{3}{5} \, a^{2} d x^{5} e^{2} + b^{2} d^{3} x \arcsin\left(c x\right)^{2} + a^{2} d^{2} x^{3} e + 2 \, a b d^{3} x \arcsin\left(c x\right) + \frac{{\left(c^{2} x^{2} - 1\right)} b^{2} d^{2} x \arcsin\left(c x\right)^{2} e}{c^{2}} + a^{2} d^{3} x - 2 \, b^{2} d^{3} x + \frac{2 \, {\left(c^{2} x^{2} - 1\right)} a b d^{2} x \arcsin\left(c x\right) e}{c^{2}} + \frac{b^{2} d^{2} x \arcsin\left(c x\right)^{2} e}{c^{2}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d^{3} \arcsin\left(c x\right)}{c} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d x \arcsin\left(c x\right)^{2} e^{2}}{5 \, c^{4}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d^{2} x e}{9 \, c^{2}} + \frac{2 \, a b d^{2} x \arcsin\left(c x\right) e}{c^{2}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} a b d^{3}}{c} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d^{2} \arcsin\left(c x\right) e}{3 \, c^{3}} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)}^{2} a b d x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d x \arcsin\left(c x\right)^{2} e^{2}}{5 \, c^{4}} - \frac{14 \, b^{2} d^{2} x e}{9 \, c^{2}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d^{2} e}{3 \, c^{3}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} \arcsin\left(c x\right) e}{c^{3}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b^{2} x \arcsin\left(c x\right)^{2} e^{3}}{7 \, c^{6}} - \frac{6 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} d x e^{2}}{125 \, c^{4}} + \frac{12 \, {\left(c^{2} x^{2} - 1\right)} a b d x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} + \frac{3 \, b^{2} d x \arcsin\left(c x\right)^{2} e^{2}}{5 \, c^{4}} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} d \arcsin\left(c x\right) e^{2}}{25 \, c^{5}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} a b d^{2} e}{c^{3}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} a b x \arcsin\left(c x\right) e^{3}}{7 \, c^{6}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} x \arcsin\left(c x\right)^{2} e^{3}}{7 \, c^{6}} - \frac{76 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d x e^{2}}{375 \, c^{4}} + \frac{6 \, a b d x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b d e^{2}}{25 \, c^{5}} - \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d \arcsin\left(c x\right) e^{2}}{5 \, c^{5}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} b^{2} x e^{3}}{343 \, c^{6}} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)}^{2} a b x \arcsin\left(c x\right) e^{3}}{7 \, c^{6}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)} b^{2} x \arcsin\left(c x\right)^{2} e^{3}}{7 \, c^{6}} - \frac{298 \, b^{2} d x e^{2}}{375 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} b^{2} \arcsin\left(c x\right) e^{3}}{49 \, c^{7}} - \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d e^{2}}{5 \, c^{5}} + \frac{6 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d \arcsin\left(c x\right) e^{2}}{5 \, c^{5}} - \frac{234 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} x e^{3}}{8575 \, c^{6}} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)} a b x \arcsin\left(c x\right) e^{3}}{7 \, c^{6}} + \frac{b^{2} x \arcsin\left(c x\right)^{2} e^{3}}{7 \, c^{6}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{3} \sqrt{-c^{2} x^{2} + 1} a b e^{3}}{49 \, c^{7}} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} \arcsin\left(c x\right) e^{3}}{35 \, c^{7}} + \frac{6 \, \sqrt{-c^{2} x^{2} + 1} a b d e^{2}}{5 \, c^{5}} - \frac{1514 \, {\left(c^{2} x^{2} - 1\right)} b^{2} x e^{3}}{25725 \, c^{6}} + \frac{2 \, a b x \arcsin\left(c x\right) e^{3}}{7 \, c^{6}} + \frac{6 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b e^{3}}{35 \, c^{7}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} \arcsin\left(c x\right) e^{3}}{7 \, c^{7}} - \frac{4322 \, b^{2} x e^{3}}{25725 \, c^{6}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b e^{3}}{7 \, c^{7}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b^{2} \arcsin\left(c x\right) e^{3}}{7 \, c^{7}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} a b e^{3}}{7 \, c^{7}}"," ",0,"1/7*a^2*x^7*e^3 + 3/5*a^2*d*x^5*e^2 + b^2*d^3*x*arcsin(c*x)^2 + a^2*d^2*x^3*e + 2*a*b*d^3*x*arcsin(c*x) + (c^2*x^2 - 1)*b^2*d^2*x*arcsin(c*x)^2*e/c^2 + a^2*d^3*x - 2*b^2*d^3*x + 2*(c^2*x^2 - 1)*a*b*d^2*x*arcsin(c*x)*e/c^2 + b^2*d^2*x*arcsin(c*x)^2*e/c^2 + 2*sqrt(-c^2*x^2 + 1)*b^2*d^3*arcsin(c*x)/c + 3/5*(c^2*x^2 - 1)^2*b^2*d*x*arcsin(c*x)^2*e^2/c^4 - 2/9*(c^2*x^2 - 1)*b^2*d^2*x*e/c^2 + 2*a*b*d^2*x*arcsin(c*x)*e/c^2 + 2*sqrt(-c^2*x^2 + 1)*a*b*d^3/c - 2/3*(-c^2*x^2 + 1)^(3/2)*b^2*d^2*arcsin(c*x)*e/c^3 + 6/5*(c^2*x^2 - 1)^2*a*b*d*x*arcsin(c*x)*e^2/c^4 + 6/5*(c^2*x^2 - 1)*b^2*d*x*arcsin(c*x)^2*e^2/c^4 - 14/9*b^2*d^2*x*e/c^2 - 2/3*(-c^2*x^2 + 1)^(3/2)*a*b*d^2*e/c^3 + 2*sqrt(-c^2*x^2 + 1)*b^2*d^2*arcsin(c*x)*e/c^3 + 1/7*(c^2*x^2 - 1)^3*b^2*x*arcsin(c*x)^2*e^3/c^6 - 6/125*(c^2*x^2 - 1)^2*b^2*d*x*e^2/c^4 + 12/5*(c^2*x^2 - 1)*a*b*d*x*arcsin(c*x)*e^2/c^4 + 3/5*b^2*d*x*arcsin(c*x)^2*e^2/c^4 + 6/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*d*arcsin(c*x)*e^2/c^5 + 2*sqrt(-c^2*x^2 + 1)*a*b*d^2*e/c^3 + 2/7*(c^2*x^2 - 1)^3*a*b*x*arcsin(c*x)*e^3/c^6 + 3/7*(c^2*x^2 - 1)^2*b^2*x*arcsin(c*x)^2*e^3/c^6 - 76/375*(c^2*x^2 - 1)*b^2*d*x*e^2/c^4 + 6/5*a*b*d*x*arcsin(c*x)*e^2/c^4 + 6/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*d*e^2/c^5 - 4/5*(-c^2*x^2 + 1)^(3/2)*b^2*d*arcsin(c*x)*e^2/c^5 - 2/343*(c^2*x^2 - 1)^3*b^2*x*e^3/c^6 + 6/7*(c^2*x^2 - 1)^2*a*b*x*arcsin(c*x)*e^3/c^6 + 3/7*(c^2*x^2 - 1)*b^2*x*arcsin(c*x)^2*e^3/c^6 - 298/375*b^2*d*x*e^2/c^4 + 2/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*b^2*arcsin(c*x)*e^3/c^7 - 4/5*(-c^2*x^2 + 1)^(3/2)*a*b*d*e^2/c^5 + 6/5*sqrt(-c^2*x^2 + 1)*b^2*d*arcsin(c*x)*e^2/c^5 - 234/8575*(c^2*x^2 - 1)^2*b^2*x*e^3/c^6 + 6/7*(c^2*x^2 - 1)*a*b*x*arcsin(c*x)*e^3/c^6 + 1/7*b^2*x*arcsin(c*x)^2*e^3/c^6 + 2/49*(c^2*x^2 - 1)^3*sqrt(-c^2*x^2 + 1)*a*b*e^3/c^7 + 6/35*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*arcsin(c*x)*e^3/c^7 + 6/5*sqrt(-c^2*x^2 + 1)*a*b*d*e^2/c^5 - 1514/25725*(c^2*x^2 - 1)*b^2*x*e^3/c^6 + 2/7*a*b*x*arcsin(c*x)*e^3/c^6 + 6/35*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*e^3/c^7 - 2/7*(-c^2*x^2 + 1)^(3/2)*b^2*arcsin(c*x)*e^3/c^7 - 4322/25725*b^2*x*e^3/c^6 - 2/7*(-c^2*x^2 + 1)^(3/2)*a*b*e^3/c^7 + 2/7*sqrt(-c^2*x^2 + 1)*b^2*arcsin(c*x)*e^3/c^7 + 2/7*sqrt(-c^2*x^2 + 1)*a*b*e^3/c^7","B",0
660,1,678,0,0.531562," ","integrate((e*x^2+d)^2*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{1}{5} \, a^{2} x^{5} e^{2} + b^{2} d^{2} x \arcsin\left(c x\right)^{2} + \frac{2}{3} \, a^{2} d x^{3} e + 2 \, a b d^{2} x \arcsin\left(c x\right) + \frac{2 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d x \arcsin\left(c x\right)^{2} e}{3 \, c^{2}} + a^{2} d^{2} x - 2 \, b^{2} d^{2} x + \frac{4 \, {\left(c^{2} x^{2} - 1\right)} a b d x \arcsin\left(c x\right) e}{3 \, c^{2}} + \frac{2 \, b^{2} d x \arcsin\left(c x\right)^{2} e}{3 \, c^{2}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d^{2} \arcsin\left(c x\right)}{c} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b^{2} x \arcsin\left(c x\right)^{2} e^{2}}{5 \, c^{4}} - \frac{4 \, {\left(c^{2} x^{2} - 1\right)} b^{2} d x e}{27 \, c^{2}} + \frac{4 \, a b d x \arcsin\left(c x\right) e}{3 \, c^{2}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} a b d^{2}}{c} - \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} d \arcsin\left(c x\right) e}{9 \, c^{3}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} a b x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)} b^{2} x \arcsin\left(c x\right)^{2} e^{2}}{5 \, c^{4}} - \frac{28 \, b^{2} d x e}{27 \, c^{2}} - \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b d e}{9 \, c^{3}} + \frac{4 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d \arcsin\left(c x\right) e}{3 \, c^{3}} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} b^{2} x e^{2}}{125 \, c^{4}} + \frac{4 \, {\left(c^{2} x^{2} - 1\right)} a b x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} + \frac{b^{2} x \arcsin\left(c x\right)^{2} e^{2}}{5 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b^{2} \arcsin\left(c x\right) e^{2}}{25 \, c^{5}} + \frac{4 \, \sqrt{-c^{2} x^{2} + 1} a b d e}{3 \, c^{3}} - \frac{76 \, {\left(c^{2} x^{2} - 1\right)} b^{2} x e^{2}}{1125 \, c^{4}} + \frac{2 \, a b x \arcsin\left(c x\right) e^{2}}{5 \, c^{4}} + \frac{2 \, {\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} a b e^{2}}{25 \, c^{5}} - \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} \arcsin\left(c x\right) e^{2}}{15 \, c^{5}} - \frac{298 \, b^{2} x e^{2}}{1125 \, c^{4}} - \frac{4 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b e^{2}}{15 \, c^{5}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b^{2} \arcsin\left(c x\right) e^{2}}{5 \, c^{5}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} a b e^{2}}{5 \, c^{5}}"," ",0,"1/5*a^2*x^5*e^2 + b^2*d^2*x*arcsin(c*x)^2 + 2/3*a^2*d*x^3*e + 2*a*b*d^2*x*arcsin(c*x) + 2/3*(c^2*x^2 - 1)*b^2*d*x*arcsin(c*x)^2*e/c^2 + a^2*d^2*x - 2*b^2*d^2*x + 4/3*(c^2*x^2 - 1)*a*b*d*x*arcsin(c*x)*e/c^2 + 2/3*b^2*d*x*arcsin(c*x)^2*e/c^2 + 2*sqrt(-c^2*x^2 + 1)*b^2*d^2*arcsin(c*x)/c + 1/5*(c^2*x^2 - 1)^2*b^2*x*arcsin(c*x)^2*e^2/c^4 - 4/27*(c^2*x^2 - 1)*b^2*d*x*e/c^2 + 4/3*a*b*d*x*arcsin(c*x)*e/c^2 + 2*sqrt(-c^2*x^2 + 1)*a*b*d^2/c - 4/9*(-c^2*x^2 + 1)^(3/2)*b^2*d*arcsin(c*x)*e/c^3 + 2/5*(c^2*x^2 - 1)^2*a*b*x*arcsin(c*x)*e^2/c^4 + 2/5*(c^2*x^2 - 1)*b^2*x*arcsin(c*x)^2*e^2/c^4 - 28/27*b^2*d*x*e/c^2 - 4/9*(-c^2*x^2 + 1)^(3/2)*a*b*d*e/c^3 + 4/3*sqrt(-c^2*x^2 + 1)*b^2*d*arcsin(c*x)*e/c^3 - 2/125*(c^2*x^2 - 1)^2*b^2*x*e^2/c^4 + 4/5*(c^2*x^2 - 1)*a*b*x*arcsin(c*x)*e^2/c^4 + 1/5*b^2*x*arcsin(c*x)^2*e^2/c^4 + 2/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b^2*arcsin(c*x)*e^2/c^5 + 4/3*sqrt(-c^2*x^2 + 1)*a*b*d*e/c^3 - 76/1125*(c^2*x^2 - 1)*b^2*x*e^2/c^4 + 2/5*a*b*x*arcsin(c*x)*e^2/c^4 + 2/25*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*a*b*e^2/c^5 - 4/15*(-c^2*x^2 + 1)^(3/2)*b^2*arcsin(c*x)*e^2/c^5 - 298/1125*b^2*x*e^2/c^4 - 4/15*(-c^2*x^2 + 1)^(3/2)*a*b*e^2/c^5 + 2/5*sqrt(-c^2*x^2 + 1)*b^2*arcsin(c*x)*e^2/c^5 + 2/5*sqrt(-c^2*x^2 + 1)*a*b*e^2/c^5","B",0
661,1,296,0,0.881465," ","integrate((e*x^2+d)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","b^{2} d x \arcsin\left(c x\right)^{2} + \frac{1}{3} \, a^{2} x^{3} e + 2 \, a b d x \arcsin\left(c x\right) + \frac{{\left(c^{2} x^{2} - 1\right)} b^{2} x \arcsin\left(c x\right)^{2} e}{3 \, c^{2}} + a^{2} d x - 2 \, b^{2} d x + \frac{2 \, {\left(c^{2} x^{2} - 1\right)} a b x \arcsin\left(c x\right) e}{3 \, c^{2}} + \frac{b^{2} x \arcsin\left(c x\right)^{2} e}{3 \, c^{2}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b^{2} d \arcsin\left(c x\right)}{c} - \frac{2 \, {\left(c^{2} x^{2} - 1\right)} b^{2} x e}{27 \, c^{2}} + \frac{2 \, a b x \arcsin\left(c x\right) e}{3 \, c^{2}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} a b d}{c} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b^{2} \arcsin\left(c x\right) e}{9 \, c^{3}} - \frac{14 \, b^{2} x e}{27 \, c^{2}} - \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} a b e}{9 \, c^{3}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b^{2} \arcsin\left(c x\right) e}{3 \, c^{3}} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} a b e}{3 \, c^{3}}"," ",0,"b^2*d*x*arcsin(c*x)^2 + 1/3*a^2*x^3*e + 2*a*b*d*x*arcsin(c*x) + 1/3*(c^2*x^2 - 1)*b^2*x*arcsin(c*x)^2*e/c^2 + a^2*d*x - 2*b^2*d*x + 2/3*(c^2*x^2 - 1)*a*b*x*arcsin(c*x)*e/c^2 + 1/3*b^2*x*arcsin(c*x)^2*e/c^2 + 2*sqrt(-c^2*x^2 + 1)*b^2*d*arcsin(c*x)/c - 2/27*(c^2*x^2 - 1)*b^2*x*e/c^2 + 2/3*a*b*x*arcsin(c*x)*e/c^2 + 2*sqrt(-c^2*x^2 + 1)*a*b*d/c - 2/9*(-c^2*x^2 + 1)^(3/2)*b^2*arcsin(c*x)*e/c^3 - 14/27*b^2*x*e/c^2 - 2/9*(-c^2*x^2 + 1)^(3/2)*a*b*e/c^3 + 2/3*sqrt(-c^2*x^2 + 1)*b^2*arcsin(c*x)*e/c^3 + 2/3*sqrt(-c^2*x^2 + 1)*a*b*e/c^3","B",0
662,1,75,0,0.572057," ","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
663,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(e*x^2+d),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/(e*x^2 + d), x)","F",0
664,0,0,0,0.000000," ","integrate((e*x^2+d)^(1/2)*(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \sqrt{e x^{2} + d} {\left(b \arcsin\left(c x\right) + a\right)}^{2}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*(b*arcsin(c*x) + a)^2, x)","F",0
665,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{\sqrt{e x^{2} + d}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/sqrt(e*x^2 + d), x)","F",0
666,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(e*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/(e*x^2 + d)^(3/2), x)","F",0
667,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^2/(e*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^2/(e*x^2 + d)^(5/2), x)","F",0
668,1,627,0,1.517087," ","integrate((e*x^2+d)^2/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{d^{2} \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{b c} - \frac{2 \, d \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e}{b c^{3}} - \frac{2 \, d \cos\left(\frac{a}{b}\right)^{2} e \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{b c^{3}} + \frac{d^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{b c} + \frac{\cos\left(\frac{a}{b}\right)^{5} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) e^{2}}{b c^{5}} + \frac{\cos\left(\frac{a}{b}\right)^{4} e^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{b c^{5}} + \frac{3 \, d \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e}{2 \, b c^{3}} + \frac{d \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) e}{2 \, b c^{3}} + \frac{d e \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{2 \, b c^{3}} + \frac{d e \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{2 \, b c^{3}} - \frac{5 \, \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) e^{2}}{4 \, b c^{5}} - \frac{3 \, \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e^{2}}{4 \, b c^{5}} - \frac{3 \, \cos\left(\frac{a}{b}\right)^{2} e^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, b c^{5}} - \frac{3 \, \cos\left(\frac{a}{b}\right)^{2} e^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{4 \, b c^{5}} + \frac{5 \, \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) e^{2}}{16 \, b c^{5}} + \frac{9 \, \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e^{2}}{16 \, b c^{5}} + \frac{\cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) e^{2}}{8 \, b c^{5}} + \frac{e^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, b c^{5}} + \frac{3 \, e^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{16 \, b c^{5}} + \frac{e^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{8 \, b c^{5}}"," ",0,"d^2*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b*c) - 2*d*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))*e/(b*c^3) - 2*d*cos(a/b)^2*e*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^3) + d^2*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b*c) + cos(a/b)^5*cos_integral(5*a/b + 5*arcsin(c*x))*e^2/(b*c^5) + cos(a/b)^4*e^2*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b*c^5) + 3/2*d*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))*e/(b*c^3) + 1/2*d*cos(a/b)*cos_integral(a/b + arcsin(c*x))*e/(b*c^3) + 1/2*d*e*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^3) + 1/2*d*e*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b*c^3) - 5/4*cos(a/b)^3*cos_integral(5*a/b + 5*arcsin(c*x))*e^2/(b*c^5) - 3/4*cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))*e^2/(b*c^5) - 3/4*cos(a/b)^2*e^2*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b*c^5) - 3/4*cos(a/b)^2*e^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^5) + 5/16*cos(a/b)*cos_integral(5*a/b + 5*arcsin(c*x))*e^2/(b*c^5) + 9/16*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))*e^2/(b*c^5) + 1/8*cos(a/b)*cos_integral(a/b + arcsin(c*x))*e^2/(b*c^5) + 1/16*e^2*sin(a/b)*sin_integral(5*a/b + 5*arcsin(c*x))/(b*c^5) + 3/16*e^2*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^5) + 1/8*e^2*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b*c^5)","A",0
669,1,235,0,3.976913," ","integrate((e*x^2+d)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\frac{d \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{b c} - \frac{\cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e}{b c^{3}} - \frac{\cos\left(\frac{a}{b}\right)^{2} e \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{b c^{3}} + \frac{d \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{b c} + \frac{3 \, \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e}{4 \, b c^{3}} + \frac{\cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) e}{4 \, b c^{3}} + \frac{e \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{e \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{4 \, b c^{3}}"," ",0,"d*cos(a/b)*cos_integral(a/b + arcsin(c*x))/(b*c) - cos(a/b)^3*cos_integral(3*a/b + 3*arcsin(c*x))*e/(b*c^3) - cos(a/b)^2*e*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^3) + d*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b*c) + 3/4*cos(a/b)*cos_integral(3*a/b + 3*arcsin(c*x))*e/(b*c^3) + 1/4*cos(a/b)*cos_integral(a/b + arcsin(c*x))*e/(b*c^3) + 1/4*e*sin(a/b)*sin_integral(3*a/b + 3*arcsin(c*x))/(b*c^3) + 1/4*e*sin(a/b)*sin_integral(a/b + arcsin(c*x))/(b*c^3)","A",0
670,1,49,0,1.101295," ","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
671,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{1}{{\left(e x^{2} + d\right)} {\left(b \arcsin\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((e*x^2 + d)*(b*arcsin(c*x) + a)), x)","F",0
672,-1,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
673,0,0,0,0.000000," ","integrate((e*x^2+d)^(1/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{\sqrt{e x^{2} + d}}{b \arcsin\left(c x\right) + a}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)/(b*arcsin(c*x) + a), x)","F",0
674,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^(1/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{1}{\sqrt{e x^{2} + d} {\left(b \arcsin\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(e*x^2 + d)*(b*arcsin(c*x) + a)), x)","F",0
675,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^(3/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{1}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((e*x^2 + d)^(3/2)*(b*arcsin(c*x) + a)), x)","F",0
676,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^(5/2)/(a+b*arcsin(c*x)),x, algorithm=""giac"")","\int \frac{1}{{\left(e x^{2} + d\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((e*x^2 + d)^(5/2)*(b*arcsin(c*x) + a)), x)","F",0
677,1,2324,0,1.337663," ","integrate((e*x^2+d)^2/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{b c^{4} d^{2} \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^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{6 \, b c^{2} d \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) e \sin\left(\frac{a}{b}\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} + \frac{6 \, b c^{2} d \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} e \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{b c^{4} d^{2} \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^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} + \frac{a c^{4} d^{2} \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} + \frac{5 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) e^{2} \sin\left(\frac{a}{b}\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{6 \, a c^{2} d \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e \sin\left(\frac{a}{b}\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{5 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{5} e^{2} \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} + \frac{6 \, a c^{2} d \cos\left(\frac{a}{b}\right)^{3} e \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{a c^{4} d^{2} \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} + \frac{5 \, a \cos\left(\frac{a}{b}\right)^{4} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) e^{2} \sin\left(\frac{a}{b}\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} + \frac{3 \, b c^{2} d \arcsin\left(c x\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e \sin\left(\frac{a}{b}\right)}{2 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} + \frac{b c^{2} d \arcsin\left(c x\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) e \sin\left(\frac{a}{b}\right)}{2 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{5 \, a \cos\left(\frac{a}{b}\right)^{5} e^{2} \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{9 \, b c^{2} d \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) e \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{2 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{b c^{2} d \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) e \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{2 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{\sqrt{-c^{2} x^{2} + 1} b c^{4} d^{2}}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{15 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) e^{2} \sin\left(\frac{a}{b}\right)}{4 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{9 \, 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) e^{2} \sin\left(\frac{a}{b}\right)}{4 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} + \frac{3 \, a c^{2} d \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e \sin\left(\frac{a}{b}\right)}{2 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} + \frac{a c^{2} d \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) e \sin\left(\frac{a}{b}\right)}{2 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} + \frac{25 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} e^{2} \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} + \frac{9 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} e^{2} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{9 \, a c^{2} d \cos\left(\frac{a}{b}\right) e \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{2 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{a c^{2} d \cos\left(\frac{a}{b}\right) e \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{2 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} + \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b c^{2} d e}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{15 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) e^{2} \sin\left(\frac{a}{b}\right)}{4 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{9 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e^{2} \sin\left(\frac{a}{b}\right)}{4 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} + \frac{25 \, a \cos\left(\frac{a}{b}\right)^{3} e^{2} \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} + \frac{9 \, a \cos\left(\frac{a}{b}\right)^{3} e^{2} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{4 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b c^{2} d e}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} + \frac{5 \, b \arcsin\left(c x\right) \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) e^{2} \sin\left(\frac{a}{b}\right)}{16 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} + \frac{9 \, b \arcsin\left(c x\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e^{2} \sin\left(\frac{a}{b}\right)}{16 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} + \frac{b \arcsin\left(c x\right) \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) e^{2} \sin\left(\frac{a}{b}\right)}{8 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{25 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) e^{2} \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{27 \, b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) e^{2} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{b \arcsin\left(c x\right) \cos\left(\frac{a}{b}\right) e^{2} \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b e^{2}}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} + \frac{5 \, a \operatorname{Ci}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right) e^{2} \sin\left(\frac{a}{b}\right)}{16 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} + \frac{9 \, a \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e^{2} \sin\left(\frac{a}{b}\right)}{16 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} + \frac{a \operatorname{Ci}\left(\frac{a}{b} + \arcsin\left(c x\right)\right) e^{2} \sin\left(\frac{a}{b}\right)}{8 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{25 \, a \cos\left(\frac{a}{b}\right) e^{2} \operatorname{Si}\left(\frac{5 \, a}{b} + 5 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{27 \, a \cos\left(\frac{a}{b}\right) e^{2} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right)}{16 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} - \frac{a \cos\left(\frac{a}{b}\right) e^{2} \operatorname{Si}\left(\frac{a}{b} + \arcsin\left(c x\right)\right)}{8 \, {\left(b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}\right)}} + \frac{2 \, {\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b e^{2}}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}} - \frac{\sqrt{-c^{2} x^{2} + 1} b e^{2}}{b^{3} c^{5} \arcsin\left(c x\right) + a b^{2} c^{5}}"," ",0,"b*c^4*d^2*arcsin(c*x)*cos_integral(a/b + arcsin(c*x))*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 6*b*c^2*d*arcsin(c*x)*cos(a/b)^2*cos_integral(3*a/b + 3*arcsin(c*x))*e*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 6*b*c^2*d*arcsin(c*x)*cos(a/b)^3*e*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - b*c^4*d^2*arcsin(c*x)*cos(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + a*c^4*d^2*cos_integral(a/b + arcsin(c*x))*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 5*b*arcsin(c*x)*cos(a/b)^4*cos_integral(5*a/b + 5*arcsin(c*x))*e^2*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 6*a*c^2*d*cos(a/b)^2*cos_integral(3*a/b + 3*arcsin(c*x))*e*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 5*b*arcsin(c*x)*cos(a/b)^5*e^2*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 6*a*c^2*d*cos(a/b)^3*e*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - a*c^4*d^2*cos(a/b)*sin_integral(a/b + arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 5*a*cos(a/b)^4*cos_integral(5*a/b + 5*arcsin(c*x))*e^2*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 3/2*b*c^2*d*arcsin(c*x)*cos_integral(3*a/b + 3*arcsin(c*x))*e*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 1/2*b*c^2*d*arcsin(c*x)*cos_integral(a/b + arcsin(c*x))*e*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 5*a*cos(a/b)^5*e^2*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 9/2*b*c^2*d*arcsin(c*x)*cos(a/b)*e*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 1/2*b*c^2*d*arcsin(c*x)*cos(a/b)*e*sin_integral(a/b + arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - sqrt(-c^2*x^2 + 1)*b*c^4*d^2/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 15/4*b*arcsin(c*x)*cos(a/b)^2*cos_integral(5*a/b + 5*arcsin(c*x))*e^2*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 9/4*b*arcsin(c*x)*cos(a/b)^2*cos_integral(3*a/b + 3*arcsin(c*x))*e^2*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 3/2*a*c^2*d*cos_integral(3*a/b + 3*arcsin(c*x))*e*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 1/2*a*c^2*d*cos_integral(a/b + arcsin(c*x))*e*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 25/4*b*arcsin(c*x)*cos(a/b)^3*e^2*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 9/4*b*arcsin(c*x)*cos(a/b)^3*e^2*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 9/2*a*c^2*d*cos(a/b)*e*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 1/2*a*c^2*d*cos(a/b)*e*sin_integral(a/b + arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 2*(-c^2*x^2 + 1)^(3/2)*b*c^2*d*e/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 15/4*a*cos(a/b)^2*cos_integral(5*a/b + 5*arcsin(c*x))*e^2*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 9/4*a*cos(a/b)^2*cos_integral(3*a/b + 3*arcsin(c*x))*e^2*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 25/4*a*cos(a/b)^3*e^2*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 9/4*a*cos(a/b)^3*e^2*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 2*sqrt(-c^2*x^2 + 1)*b*c^2*d*e/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 5/16*b*arcsin(c*x)*cos_integral(5*a/b + 5*arcsin(c*x))*e^2*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 9/16*b*arcsin(c*x)*cos_integral(3*a/b + 3*arcsin(c*x))*e^2*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 1/8*b*arcsin(c*x)*cos_integral(a/b + arcsin(c*x))*e^2*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 25/16*b*arcsin(c*x)*cos(a/b)*e^2*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 27/16*b*arcsin(c*x)*cos(a/b)*e^2*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 1/8*b*arcsin(c*x)*cos(a/b)*e^2*sin_integral(a/b + arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - (c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*e^2/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 5/16*a*cos_integral(5*a/b + 5*arcsin(c*x))*e^2*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 9/16*a*cos_integral(3*a/b + 3*arcsin(c*x))*e^2*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 1/8*a*cos_integral(a/b + arcsin(c*x))*e^2*sin(a/b)/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 25/16*a*cos(a/b)*e^2*sin_integral(5*a/b + 5*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 27/16*a*cos(a/b)*e^2*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - 1/8*a*cos(a/b)*e^2*sin_integral(a/b + arcsin(c*x))/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) + 2*(-c^2*x^2 + 1)^(3/2)*b*e^2/(b^3*c^5*arcsin(c*x) + a*b^2*c^5) - sqrt(-c^2*x^2 + 1)*b*e^2/(b^3*c^5*arcsin(c*x) + a*b^2*c^5)","B",0
678,1,905,0,0.815737," ","integrate((e*x^2+d)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\frac{b c^{2} d \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^{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)^{2} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e \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} e \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{b c^{2} d \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^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{a c^{2} d \operatorname{Ci}\left(\frac{a}{b} + \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)^{2} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e \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} e \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{a c^{2} d \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \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) e \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) e \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) e \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) e \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{\sqrt{-c^{2} x^{2} + 1} b c^{2} d}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} + \frac{3 \, a \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arcsin\left(c x\right)\right) e \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) e \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) e \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) e \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 e}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}} - \frac{\sqrt{-c^{2} x^{2} + 1} b e}{b^{3} c^{3} \arcsin\left(c x\right) + a b^{2} c^{3}}"," ",0,"b*c^2*d*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) - 3*b*arcsin(c*x)*cos(a/b)^2*cos_integral(3*a/b + 3*arcsin(c*x))*e*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 3*b*arcsin(c*x)*cos(a/b)^3*e*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - b*c^2*d*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) + a*c^2*d*cos_integral(a/b + arcsin(c*x))*sin(a/b)/(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))*e*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 3*a*cos(a/b)^3*e*sin_integral(3*a/b + 3*arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - a*c^2*d*cos(a/b)*sin_integral(a/b + 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))*e*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))*e*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 9/4*b*arcsin(c*x)*cos(a/b)*e*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)*e*sin_integral(a/b + arcsin(c*x))/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - sqrt(-c^2*x^2 + 1)*b*c^2*d/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) + 3/4*a*cos_integral(3*a/b + 3*arcsin(c*x))*e*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))*e*sin(a/b)/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - 9/4*a*cos(a/b)*e*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)*e*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*e/(b^3*c^3*arcsin(c*x) + a*b^2*c^3) - sqrt(-c^2*x^2 + 1)*b*e/(b^3*c^3*arcsin(c*x) + a*b^2*c^3)","B",0
679,1,192,0,0.817282," ","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
680,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(e x^{2} + d\right)} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((e*x^2 + d)*(b*arcsin(c*x) + a)^2), x)","F",0
681,-1,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
682,0,0,0,0.000000," ","integrate((e*x^2+d)^(1/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{\sqrt{e x^{2} + d}}{{\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)/(b*arcsin(c*x) + a)^2, x)","F",0
683,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^(1/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{\sqrt{e x^{2} + d} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(e*x^2 + d)*(b*arcsin(c*x) + a)^2), x)","F",0
684,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^(3/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((e*x^2 + d)^(3/2)*(b*arcsin(c*x) + a)^2), x)","F",0
685,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^(5/2)/(a+b*arcsin(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(e x^{2} + d\right)}^{\frac{5}{2}} {\left(b \arcsin\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((e*x^2 + d)^(5/2)*(b*arcsin(c*x) + a)^2), x)","F",0
686,1,3371,0,4.588549," ","integrate((e*x^2+d)^2*(a+b*arcsin(c*x))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} a b^{2} d^{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} b^{3} d^{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^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{2} \sqrt{\pi} a b^{2} d^{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} b^{3} d^{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^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c} - \frac{\sqrt{\pi} a b d^{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)}}{{\left(\frac{i \, \sqrt{2} b^{2}}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c} - \frac{\sqrt{\pi} a b d^{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)}}{{\left(-\frac{i \, \sqrt{2} b^{2}}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{2} \sqrt{\pi} a b^{2} d \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} + 1\right)}}{4 \, {\left(\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \sqrt{2} \sqrt{\pi} b^{3} d \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} + 1\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 b^{2} d \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} + 1\right)}}{4 \, {\left(-\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{i \, \sqrt{2} \sqrt{\pi} b^{3} d \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} + 1\right)}}{8 \, {\left(-\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} d^{2} e^{\left(i \, \arcsin\left(c x\right)\right)}}{2 \, c} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} d^{2} e^{\left(-i \, \arcsin\left(c x\right)\right)}}{2 \, c} - \frac{\sqrt{\pi} a b^{\frac{3}{2}} d \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} + 1\right)}}{2 \, {\left(\sqrt{6} b^{2} + \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} - \frac{i \, \sqrt{\pi} b^{\frac{5}{2}} d \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} + 1\right)}}{12 \, {\left(\sqrt{6} b^{2} + \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a b^{\frac{3}{2}} d \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} + 1\right)}}{2 \, {\left(\sqrt{6} b^{2} - \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \sqrt{\pi} b^{\frac{5}{2}} d \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} + 1\right)}}{12 \, {\left(\sqrt{6} b^{2} - \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} a b d \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} + 1\right)}}{2 \, {\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 d \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} + 1\right)}}{2 \, {\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 b d \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} + 1\right)}}{2 \, {\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 b d \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} + 1\right)}}{2 \, {\left(\sqrt{6} b^{\frac{3}{2}} - \frac{i \, \sqrt{6} b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{3}} + \frac{\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} + 2\right)}}{16 \, {\left(\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{5}} + \frac{i \, \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} + 2\right)}}{32 \, {\left(\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{5}} + \frac{\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} + 2\right)}}{16 \, {\left(-\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{5}} - \frac{i \, \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} + 2\right)}}{32 \, {\left(-\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{5}} - \frac{\sqrt{6} \sqrt{\pi} a 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} + 2\right)}}{32 \, {\left(b^{2} + \frac{i \, b^{3}}{{\left| b \right|}}\right)} c^{5}} - \frac{\sqrt{6} \sqrt{\pi} a 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} + 2\right)}}{32 \, {\left(b^{2} - \frac{i \, b^{3}}{{\left| b \right|}}\right)} c^{5}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} d e^{\left(3 i \, \arcsin\left(c x\right) + 1\right)}}{12 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} d e^{\left(i \, \arcsin\left(c x\right) + 1\right)}}{4 \, c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} d e^{\left(-i \, \arcsin\left(c x\right) + 1\right)}}{4 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} d e^{\left(-3 i \, \arcsin\left(c x\right) + 1\right)}}{12 \, c^{3}} + \frac{\sqrt{\pi} a b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{10} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{10} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{5 i \, a}{b} + 2\right)}}{16 \, {\left(\sqrt{10} b^{2} + \frac{i \, \sqrt{10} b^{3}}{{\left| b \right|}}\right)} c^{5}} + \frac{i \, \sqrt{\pi} b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{10} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{10} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{5 i \, a}{b} + 2\right)}}{160 \, {\left(\sqrt{10} b^{2} + \frac{i \, \sqrt{10} b^{3}}{{\left| b \right|}}\right)} c^{5}} - \frac{i \, \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} + 2\right)}}{32 \, {\left(\sqrt{6} b^{2} + \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{5}} + \frac{i \, \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} + 2\right)}}{32 \, {\left(\sqrt{6} b^{2} - \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{5}} + \frac{\sqrt{\pi} a b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{10} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{10} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{5 i \, a}{b} + 2\right)}}{16 \, {\left(\sqrt{10} b^{2} - \frac{i \, \sqrt{10} b^{3}}{{\left| b \right|}}\right)} c^{5}} - \frac{i \, \sqrt{\pi} b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{10} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{10} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{5 i \, a}{b} + 2\right)}}{160 \, {\left(\sqrt{10} b^{2} - \frac{i \, \sqrt{10} b^{3}}{{\left| b \right|}}\right)} c^{5}} - \frac{\sqrt{\pi} a b \operatorname{erf}\left(-\frac{\sqrt{10} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{10} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{5 i \, a}{b} + 2\right)}}{16 \, {\left(\sqrt{10} b^{\frac{3}{2}} + \frac{i \, \sqrt{10} b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{5}} - \frac{\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} + 2\right)}}{8 \, {\left(\frac{i \, \sqrt{2} b^{2}}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c^{5}} - \frac{\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} + 2\right)}}{8 \, {\left(-\frac{i \, \sqrt{2} b^{2}}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c^{5}} - \frac{\sqrt{\pi} a b \operatorname{erf}\left(-\frac{\sqrt{10} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{10} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{5 i \, a}{b} + 2\right)}}{16 \, {\left(\sqrt{10} b^{\frac{3}{2}} - \frac{i \, \sqrt{10} b^{\frac{5}{2}}}{{\left| b \right|}}\right)} c^{5}} + \frac{3 \, \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} + 2\right)}}{16 \, {\left(\sqrt{6} b + \frac{i \, \sqrt{6} b^{2}}{{\left| b \right|}}\right)} c^{5}} + \frac{3 \, \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} + 2\right)}}{16 \, {\left(\sqrt{6} b - \frac{i \, \sqrt{6} b^{2}}{{\left| b \right|}}\right)} c^{5}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(5 i \, \arcsin\left(c x\right) + 2\right)}}{160 \, c^{5}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(3 i \, \arcsin\left(c x\right) + 2\right)}}{32 \, c^{5}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(i \, \arcsin\left(c x\right) + 2\right)}}{16 \, c^{5}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(-i \, \arcsin\left(c x\right) + 2\right)}}{16 \, c^{5}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(-3 i \, \arcsin\left(c x\right) + 2\right)}}{32 \, c^{5}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(-5 i \, \arcsin\left(c x\right) + 2\right)}}{160 \, c^{5}}"," ",0,"1/2*sqrt(2)*sqrt(pi)*a*b^2*d^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) + 1/4*I*sqrt(2)*sqrt(pi)*b^3*d^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*sqrt(2)*sqrt(pi)*a*b^2*d^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) - 1/4*I*sqrt(2)*sqrt(pi)*b^3*d^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) - sqrt(pi)*a*b*d^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*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c) - sqrt(pi)*a*b*d^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*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c) + 1/4*sqrt(2)*sqrt(pi)*a*b^2*d*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 + 1)/((I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) + 1/8*I*sqrt(2)*sqrt(pi)*b^3*d*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 + 1)/((I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) + 1/4*sqrt(2)*sqrt(pi)*a*b^2*d*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 + 1)/((-I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) - 1/8*I*sqrt(2)*sqrt(pi)*b^3*d*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 + 1)/((-I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) - 1/2*I*sqrt(b*arcsin(c*x) + a)*d^2*e^(I*arcsin(c*x))/c + 1/2*I*sqrt(b*arcsin(c*x) + a)*d^2*e^(-I*arcsin(c*x))/c - 1/2*sqrt(pi)*a*b^(3/2)*d*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 + 1)/((sqrt(6)*b^2 + I*sqrt(6)*b^3/abs(b))*c^3) - 1/12*I*sqrt(pi)*b^(5/2)*d*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 + 1)/((sqrt(6)*b^2 + I*sqrt(6)*b^3/abs(b))*c^3) - 1/2*sqrt(pi)*a*b^(3/2)*d*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 + 1)/((sqrt(6)*b^2 - I*sqrt(6)*b^3/abs(b))*c^3) + 1/12*I*sqrt(pi)*b^(5/2)*d*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 + 1)/((sqrt(6)*b^2 - I*sqrt(6)*b^3/abs(b))*c^3) + 1/2*sqrt(pi)*a*b*d*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 + 1)/((sqrt(6)*b^(3/2) + I*sqrt(6)*b^(5/2)/abs(b))*c^3) - 1/2*sqrt(pi)*a*b*d*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 + 1)/((I*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c^3) - 1/2*sqrt(pi)*a*b*d*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 + 1)/((-I*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c^3) + 1/2*sqrt(pi)*a*b*d*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 + 1)/((sqrt(6)*b^(3/2) - I*sqrt(6)*b^(5/2)/abs(b))*c^3) + 1/16*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 + 2)/((I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^5) + 1/32*I*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 + 2)/((I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^5) + 1/16*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 + 2)/((-I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^5) - 1/32*I*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 + 2)/((-I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^5) - 1/32*sqrt(6)*sqrt(pi)*a*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 + 2)/((b^2 + I*b^3/abs(b))*c^5) - 1/32*sqrt(6)*sqrt(pi)*a*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 + 2)/((b^2 - I*b^3/abs(b))*c^5) + 1/12*I*sqrt(b*arcsin(c*x) + a)*d*e^(3*I*arcsin(c*x) + 1)/c^3 - 1/4*I*sqrt(b*arcsin(c*x) + a)*d*e^(I*arcsin(c*x) + 1)/c^3 + 1/4*I*sqrt(b*arcsin(c*x) + a)*d*e^(-I*arcsin(c*x) + 1)/c^3 - 1/12*I*sqrt(b*arcsin(c*x) + a)*d*e^(-3*I*arcsin(c*x) + 1)/c^3 + 1/16*sqrt(pi)*a*b^(3/2)*erf(-1/2*sqrt(10)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(10)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(5*I*a/b + 2)/((sqrt(10)*b^2 + I*sqrt(10)*b^3/abs(b))*c^5) + 1/160*I*sqrt(pi)*b^(5/2)*erf(-1/2*sqrt(10)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(10)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(5*I*a/b + 2)/((sqrt(10)*b^2 + I*sqrt(10)*b^3/abs(b))*c^5) - 1/32*I*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 + 2)/((sqrt(6)*b^2 + I*sqrt(6)*b^3/abs(b))*c^5) + 1/32*I*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 + 2)/((sqrt(6)*b^2 - I*sqrt(6)*b^3/abs(b))*c^5) + 1/16*sqrt(pi)*a*b^(3/2)*erf(-1/2*sqrt(10)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(10)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-5*I*a/b + 2)/((sqrt(10)*b^2 - I*sqrt(10)*b^3/abs(b))*c^5) - 1/160*I*sqrt(pi)*b^(5/2)*erf(-1/2*sqrt(10)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(10)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-5*I*a/b + 2)/((sqrt(10)*b^2 - I*sqrt(10)*b^3/abs(b))*c^5) - 1/16*sqrt(pi)*a*b*erf(-1/2*sqrt(10)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(10)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(5*I*a/b + 2)/((sqrt(10)*b^(3/2) + I*sqrt(10)*b^(5/2)/abs(b))*c^5) - 1/8*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 + 2)/((I*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c^5) - 1/8*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 + 2)/((-I*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c^5) - 1/16*sqrt(pi)*a*b*erf(-1/2*sqrt(10)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(10)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-5*I*a/b + 2)/((sqrt(10)*b^(3/2) - I*sqrt(10)*b^(5/2)/abs(b))*c^5) + 3/16*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 + 2)/((sqrt(6)*b + I*sqrt(6)*b^2/abs(b))*c^5) + 3/16*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 + 2)/((sqrt(6)*b - I*sqrt(6)*b^2/abs(b))*c^5) - 1/160*I*sqrt(b*arcsin(c*x) + a)*e^(5*I*arcsin(c*x) + 2)/c^5 + 1/32*I*sqrt(b*arcsin(c*x) + a)*e^(3*I*arcsin(c*x) + 2)/c^5 - 1/16*I*sqrt(b*arcsin(c*x) + a)*e^(I*arcsin(c*x) + 2)/c^5 + 1/16*I*sqrt(b*arcsin(c*x) + a)*e^(-I*arcsin(c*x) + 2)/c^5 - 1/32*I*sqrt(b*arcsin(c*x) + a)*e^(-3*I*arcsin(c*x) + 2)/c^5 + 1/160*I*sqrt(b*arcsin(c*x) + a)*e^(-5*I*arcsin(c*x) + 2)/c^5","C",0
687,1,1677,0,3.896803," ","integrate((e*x^2+d)*(a+b*arcsin(c*x))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} a b^{2} d \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} b^{3} d \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^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{2} \sqrt{\pi} a b^{2} d \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} b^{3} d \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^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c} - \frac{\sqrt{\pi} a b d \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 b d \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{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} + 1\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} 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} + 1\right)}}{16 \, {\left(\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\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} + 1\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} 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} + 1\right)}}{16 \, {\left(-\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} d e^{\left(i \, \arcsin\left(c x\right)\right)}}{2 \, c} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} d e^{\left(-i \, \arcsin\left(c x\right)\right)}}{2 \, c} - \frac{\sqrt{\pi} a 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} + 1\right)}}{4 \, {\left(\sqrt{6} b^{2} + \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} - \frac{i \, \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} + 1\right)}}{24 \, {\left(\sqrt{6} b^{2} + \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a 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} + 1\right)}}{4 \, {\left(\sqrt{6} b^{2} - \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} + \frac{i \, \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} + 1\right)}}{24 \, {\left(\sqrt{6} b^{2} - \frac{i \, \sqrt{6} b^{3}}{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} a 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} + 1\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 \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} + 1\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 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} + 1\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 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} + 1\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{b \arcsin\left(c x\right) + a} e^{\left(3 i \, \arcsin\left(c x\right) + 1\right)}}{24 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(i \, \arcsin\left(c x\right) + 1\right)}}{8 \, c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(-i \, \arcsin\left(c x\right) + 1\right)}}{8 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} e^{\left(-3 i \, \arcsin\left(c x\right) + 1\right)}}{24 \, c^{3}}"," ",0,"1/2*sqrt(2)*sqrt(pi)*a*b^2*d*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) + 1/4*I*sqrt(2)*sqrt(pi)*b^3*d*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*b^2*d*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) - 1/4*I*sqrt(2)*sqrt(pi)*b^3*d*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) - sqrt(pi)*a*b*d*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*b*d*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) + 1/8*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 + 1)/((I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) + 1/16*I*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 + 1)/((I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) + 1/8*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 + 1)/((-I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) - 1/16*I*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 + 1)/((-I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) - 1/2*I*sqrt(b*arcsin(c*x) + a)*d*e^(I*arcsin(c*x))/c + 1/2*I*sqrt(b*arcsin(c*x) + a)*d*e^(-I*arcsin(c*x))/c - 1/4*sqrt(pi)*a*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 + 1)/((sqrt(6)*b^2 + I*sqrt(6)*b^3/abs(b))*c^3) - 1/24*I*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 + 1)/((sqrt(6)*b^2 + I*sqrt(6)*b^3/abs(b))*c^3) - 1/4*sqrt(pi)*a*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 + 1)/((sqrt(6)*b^2 - I*sqrt(6)*b^3/abs(b))*c^3) + 1/24*I*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 + 1)/((sqrt(6)*b^2 - I*sqrt(6)*b^3/abs(b))*c^3) + 1/4*sqrt(pi)*a*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 + 1)/((sqrt(6)*b^(3/2) + I*sqrt(6)*b^(5/2)/abs(b))*c^3) - 1/4*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 + 1)/((I*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c^3) - 1/4*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 + 1)/((-I*sqrt(2)*b^2/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c^3) + 1/4*sqrt(pi)*a*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 + 1)/((sqrt(6)*b^(3/2) - I*sqrt(6)*b^(5/2)/abs(b))*c^3) + 1/24*I*sqrt(b*arcsin(c*x) + a)*e^(3*I*arcsin(c*x) + 1)/c^3 - 1/8*I*sqrt(b*arcsin(c*x) + a)*e^(I*arcsin(c*x) + 1)/c^3 + 1/8*I*sqrt(b*arcsin(c*x) + a)*e^(-I*arcsin(c*x) + 1)/c^3 - 1/24*I*sqrt(b*arcsin(c*x) + a)*e^(-3*I*arcsin(c*x) + 1)/c^3","C",0
688,1,531,0,1.136676," ","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
689,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(1/2)/(e*x^2+d),x, algorithm=""giac"")","\int \frac{\sqrt{b \arcsin\left(c x\right) + a}}{e x^{2} + d}\,{d x}"," ",0,"integrate(sqrt(b*arcsin(c*x) + a)/(e*x^2 + d), x)","F",0
690,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(1/2)/(e*x^2+d)^2,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: 1.19Unable to divide, perhaps due to rounding 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/ %%%{-256,[0,2,2,4,20,2,8,4]%%%}+%%%{-2048,[0,2,2,4,18,2,10,5]%%%}+%%%{-6656,[0,2,2,4,16,2,12,6]%%%}+%%%{-11264,[0,2,2,4,14,2,14,7]%%%}+%%%{-10496,[0,2,2,4,12,2,16,8]%%%}+%%%{-5120,[0,2,2,4,10,2,18,9]%%%}+%%%{-1024,[0,2,2,4,8,2,20,10]%%%}+%%%{-12,[0,0,4,4,16,2,4,2]%%%}+%%%{-80,[0,0,4,4,14,2,6,3]%%%}+%%%{-220,[0,0,4,4,12,2,8,4]%%%}+%%%{-312,[0,0,4,4,10,2,10,5]%%%}+%%%{-224,[0,0,4,4,8,2,12,6]%%%}+%%%{-64,[0,0,4,4,6,2,14,7]%%%}+%%%{-8*i,[0,0,2,4,16,3,4,2]%%%}+%%%{-64*i,[0,0,2,4,14,3,6,3]%%%}+%%%{-200*i,[0,0,2,4,12,3,8,4]%%%}+%%%{-304*i,[0,0,2,4,10,3,10,5]%%%}+%%%{-224*i,[0,0,2,4,8,3,12,6]%%%}+%%%{-64*i,[0,0,2,4,6,3,14,7]%%%}+%%%{1,[0,0,0,4,16,4,4,2]%%%}+%%%{12,[0,0,0,4,14,4,6,3]%%%}+%%%{45,[0,0,0,4,12,4,8,4]%%%}+%%%{74,[0,0,0,4,10,4,10,5]%%%}+%%%{56,[0,0,0,4,8,4,12,6]%%%}+%%%{16,[0,0,0,4,6,4,14,7]%%%} Error: Bad Argument Value","F(-2)",0
691,1,3039,0,5.676489," ","integrate((e*x^2+d)*(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} a^{2} b^{2} d \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} d \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} d \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} d \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} d \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} d \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} d \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} d \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 d \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 d \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 d \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 d \arcsin\left(c x\right) e^{\left(-i \, \arcsin\left(c x\right)\right)}}{2 \, 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} + 1\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} + 1\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} + 1\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} + 1\right)}}{8 \, {\left(-\frac{i \, b^{3}}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a d e^{\left(i \, \arcsin\left(c x\right)\right)}}{2 \, c} + \frac{3 \, \sqrt{b \arcsin\left(c x\right) + a} b d e^{\left(i \, \arcsin\left(c x\right)\right)}}{4 \, c} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a d e^{\left(-i \, \arcsin\left(c x\right)\right)}}{2 \, c} + \frac{3 \, \sqrt{b \arcsin\left(c x\right) + a} b d e^{\left(-i \, \arcsin\left(c x\right)\right)}}{4 \, c} - \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} + 1\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} + 1\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} + 1\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} + 1\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} + 1\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} + 1\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} + 1\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} + 1\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} + 1\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} + 1\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} + 1\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} + 1\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} + 1\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} + 1\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} + 1\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} + 1\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) + 1\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) + 1\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) + 1\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) + 1\right)}}{24 \, c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a e^{\left(3 i \, \arcsin\left(c x\right) + 1\right)}}{24 \, c^{3}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} b e^{\left(3 i \, \arcsin\left(c x\right) + 1\right)}}{48 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a e^{\left(i \, \arcsin\left(c x\right) + 1\right)}}{8 \, c^{3}} + \frac{3 \, \sqrt{b \arcsin\left(c x\right) + a} b e^{\left(i \, \arcsin\left(c x\right) + 1\right)}}{16 \, c^{3}} + \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a e^{\left(-i \, \arcsin\left(c x\right) + 1\right)}}{8 \, c^{3}} + \frac{3 \, \sqrt{b \arcsin\left(c x\right) + a} b e^{\left(-i \, \arcsin\left(c x\right) + 1\right)}}{16 \, c^{3}} - \frac{i \, \sqrt{b \arcsin\left(c x\right) + a} a e^{\left(-3 i \, \arcsin\left(c x\right) + 1\right)}}{24 \, c^{3}} - \frac{\sqrt{b \arcsin\left(c x\right) + a} b e^{\left(-3 i \, \arcsin\left(c x\right) + 1\right)}}{48 \, c^{3}}"," ",0,"1/2*sqrt(2)*sqrt(pi)*a^2*b^2*d*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*d*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*d*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*d*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*d*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*d*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*d*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*d*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*d*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*d*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*d*arcsin(c*x)*e^(I*arcsin(c*x))/c + 1/2*I*sqrt(b*arcsin(c*x) + a)*b*d*arcsin(c*x)*e^(-I*arcsin(c*x))/c + 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 + 1)/((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 + 1)/((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 + 1)/((-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 + 1)/((-I*b^3/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) - 1/2*I*sqrt(b*arcsin(c*x) + a)*a*d*e^(I*arcsin(c*x))/c + 3/4*sqrt(b*arcsin(c*x) + a)*b*d*e^(I*arcsin(c*x))/c + 1/2*I*sqrt(b*arcsin(c*x) + a)*a*d*e^(-I*arcsin(c*x))/c + 3/4*sqrt(b*arcsin(c*x) + a)*b*d*e^(-I*arcsin(c*x))/c - 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 + 1)/((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 + 1)/((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 + 1)/((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 + 1)/((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 + 1)/((-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 + 1)/((-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 + 1)/((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 + 1)/((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 + 1)/((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 + 1)/((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 + 1)/((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 + 1)/((-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 + 1)/((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 + 1)/((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 + 1)/((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 + 1)/((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) + 1)/c^3 - 1/8*I*sqrt(b*arcsin(c*x) + a)*b*arcsin(c*x)*e^(I*arcsin(c*x) + 1)/c^3 + 1/8*I*sqrt(b*arcsin(c*x) + a)*b*arcsin(c*x)*e^(-I*arcsin(c*x) + 1)/c^3 - 1/24*I*sqrt(b*arcsin(c*x) + a)*b*arcsin(c*x)*e^(-3*I*arcsin(c*x) + 1)/c^3 + 1/24*I*sqrt(b*arcsin(c*x) + a)*a*e^(3*I*arcsin(c*x) + 1)/c^3 - 1/48*sqrt(b*arcsin(c*x) + a)*b*e^(3*I*arcsin(c*x) + 1)/c^3 - 1/8*I*sqrt(b*arcsin(c*x) + a)*a*e^(I*arcsin(c*x) + 1)/c^3 + 3/16*sqrt(b*arcsin(c*x) + a)*b*e^(I*arcsin(c*x) + 1)/c^3 + 1/8*I*sqrt(b*arcsin(c*x) + a)*a*e^(-I*arcsin(c*x) + 1)/c^3 + 3/16*sqrt(b*arcsin(c*x) + a)*b*e^(-I*arcsin(c*x) + 1)/c^3 - 1/24*I*sqrt(b*arcsin(c*x) + a)*a*e^(-3*I*arcsin(c*x) + 1)/c^3 - 1/48*sqrt(b*arcsin(c*x) + a)*b*e^(-3*I*arcsin(c*x) + 1)/c^3","C",0
692,1,993,0,3.404341," ","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
693,0,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(3/2)/(e*x^2+d),x, algorithm=""giac"")","\int \frac{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*arcsin(c*x) + a)^(3/2)/(e*x^2 + d), x)","F",0
694,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x))^(3/2)/(e*x^2+d)^2,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: 1.35Unable to divide, perhaps due to rounding 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/ %%%{-1024,[0,2,2,12,4,8,2,10]%%%}+%%%{-5120,[0,2,2,10,4,10,2,9]%%%}+%%%{-10496,[0,2,2,8,4,12,2,8]%%%}+%%%{-11264,[0,2,2,6,4,14,2,7]%%%}+%%%{-6656,[0,2,2,4,4,16,2,6]%%%}+%%%{-2048,[0,2,2,2,4,18,2,5]%%%}+%%%{-256,[0,2,2,0,4,20,2,4]%%%}+%%%{-64,[0,0,8,12,4,6,2,7]%%%}+%%%{-224,[0,0,8,10,4,8,2,6]%%%}+%%%{-312,[0,0,8,8,4,10,2,5]%%%}+%%%{-220,[0,0,8,6,4,12,2,4]%%%}+%%%{-80,[0,0,8,4,4,14,2,3]%%%}+%%%{-12,[0,0,8,2,4,16,2,2]%%%}+%%%{-192*i,[0,0,6,12,4,6,3,7]%%%}+%%%{-672*i,[0,0,6,10,4,8,3,6]%%%}+%%%{-912*i,[0,0,6,8,4,10,3,5]%%%}+%%%{-600*i,[0,0,6,6,4,12,3,4]%%%}+%%%{-192*i,[0,0,6,4,4,14,3,3]%%%}+%%%{-24*i,[0,0,6,2,4,16,3,2]%%%}+%%%{144,[0,0,4,12,4,6,4,7]%%%}+%%%{504,[0,0,4,10,4,8,4,6]%%%}+%%%{666,[0,0,4,8,4,10,4,5]%%%}+%%%{405,[0,0,4,6,4,12,4,4]%%%}+%%%{108,[0,0,4,4,4,14,4,3]%%%}+%%%{9,[0,0,4,2,4,16,4,2]%%%} Error: Bad Argument Value","F(-2)",0
695,1,973,0,2.522481," ","integrate((e*x^2+d)^2/(a+b*arcsin(c*x))^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} d^{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)}}{c {\left(\frac{i \, \sqrt{2} b}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)}} - \frac{\sqrt{\pi} d^{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)}}{c {\left(-\frac{i \, \sqrt{2} b}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)}} + \frac{\sqrt{\pi} d \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} + 1\right)}}{2 \, {\left(\sqrt{6} \sqrt{b} + \frac{i \, \sqrt{6} b^{\frac{3}{2}}}{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} d \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} + 1\right)}}{2 \, c^{3} {\left(\frac{i \, \sqrt{2} b}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)}} - \frac{\sqrt{\pi} d \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} + 1\right)}}{2 \, c^{3} {\left(-\frac{i \, \sqrt{2} b}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)}} + \frac{\sqrt{\pi} d \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} + 1\right)}}{2 \, {\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{\sqrt{10} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} - \frac{i \, \sqrt{10} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(\frac{5 i \, a}{b} + 2\right)}}{16 \, {\left(\sqrt{10} \sqrt{b} + \frac{i \, \sqrt{10} b^{\frac{3}{2}}}{{\left| b \right|}}\right)} c^{5}} - \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} + 2\right)}}{8 \, c^{5} {\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} + 2\right)}}{8 \, c^{5} {\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{10} \sqrt{b \arcsin\left(c x\right) + a}}{2 \, \sqrt{b}} + \frac{i \, \sqrt{10} \sqrt{b \arcsin\left(c x\right) + a} \sqrt{b}}{2 \, {\left| b \right|}}\right) e^{\left(-\frac{5 i \, a}{b} + 2\right)}}{16 \, {\left(\sqrt{10} \sqrt{b} - \frac{i \, \sqrt{10} b^{\frac{3}{2}}}{{\left| b \right|}}\right)} c^{5}} + \frac{3 \, \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} + 2\right)}}{16 \, \sqrt{b} c^{5} {\left(\sqrt{6} + \frac{i \, \sqrt{6} b}{{\left| b \right|}}\right)}} + \frac{3 \, \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} + 2\right)}}{16 \, \sqrt{b} c^{5} {\left(\sqrt{6} - \frac{i \, \sqrt{6} b}{{\left| b \right|}}\right)}}"," ",0,"-sqrt(pi)*d^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)/(c*(I*sqrt(2)*b/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))) - sqrt(pi)*d^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)/(c*(-I*sqrt(2)*b/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))) + 1/2*sqrt(pi)*d*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 + 1)/((sqrt(6)*sqrt(b) + I*sqrt(6)*b^(3/2)/abs(b))*c^3) - 1/2*sqrt(pi)*d*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 + 1)/(c^3*(I*sqrt(2)*b/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))) - 1/2*sqrt(pi)*d*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 + 1)/(c^3*(-I*sqrt(2)*b/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))) + 1/2*sqrt(pi)*d*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 + 1)/((sqrt(6)*sqrt(b) - I*sqrt(6)*b^(3/2)/abs(b))*c^3) - 1/16*sqrt(pi)*erf(-1/2*sqrt(10)*sqrt(b*arcsin(c*x) + a)/sqrt(b) - 1/2*I*sqrt(10)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(5*I*a/b + 2)/((sqrt(10)*sqrt(b) + I*sqrt(10)*b^(3/2)/abs(b))*c^5) - 1/8*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 + 2)/(c^5*(I*sqrt(2)*b/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))) - 1/8*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 + 2)/(c^5*(-I*sqrt(2)*b/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))) - 1/16*sqrt(pi)*erf(-1/2*sqrt(10)*sqrt(b*arcsin(c*x) + a)/sqrt(b) + 1/2*I*sqrt(10)*sqrt(b*arcsin(c*x) + a)*sqrt(b)/abs(b))*e^(-5*I*a/b + 2)/((sqrt(10)*sqrt(b) - I*sqrt(10)*b^(3/2)/abs(b))*c^5) + 3/16*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 + 2)/(sqrt(b)*c^5*(sqrt(6) + I*sqrt(6)*b/abs(b))) + 3/16*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 + 2)/(sqrt(b)*c^5*(sqrt(6) - I*sqrt(6)*b/abs(b)))","C",0
696,1,485,0,2.069283," ","integrate((e*x^2+d)/(a+b*arcsin(c*x))^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} d \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} d \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{\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} + 1\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} + 1\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} + 1\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} + 1\right)}}{4 \, {\left(\sqrt{6} \sqrt{b} - \frac{i \, \sqrt{6} b^{\frac{3}{2}}}{{\left| b \right|}}\right)} c^{3}}"," ",0,"-sqrt(pi)*d*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)*d*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)))) + 1/4*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 + 1)/((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 + 1)/(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 + 1)/(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 + 1)/((sqrt(6)*sqrt(b) - I*sqrt(6)*b^(3/2)/abs(b))*c^3)","C",0
697,1,159,0,1.978000," ","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
698,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(a+b*arcsin(c*x))^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(e x^{2} + d\right)} \sqrt{b \arcsin\left(c x\right) + a}}\,{d x}"," ",0,"integrate(1/((e*x^2 + d)*sqrt(b*arcsin(c*x) + a)), x)","F",0
699,-2,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(a+b*arcsin(c*x))^(1/2),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: 1.4Unable to divide, perhaps due to rounding error%%%{68719476736,[0,8,40,24,52,8,36,18]%%%}+%%%{687194767360,[0,8,40,24,50,8,38,19]%%%}+%%%{2817498546176,[0,8,40,24,48,8,40,20]%%%}+%%%{6047313952768,[0,8,40,24,46,8,42,21]%%%}+%%%{7146825580544,[0,8,40,24,44,8,44,22]%%%}+%%%{4398046511104,[0,8,40,24,42,8,46,23]%%%}+%%%{1099511627776,[0,8,40,24,40,8,48,24]%%%}+%%%{-2147483648,[0,6,38,24,50,8,30,15]%%%}+%%%{27917287424,[0,6,38,24,48,8,32,16]%%%}+%%%{135291469824,[0,6,38,24,46,8,34,17]%%%}+%%%{324270030848,[0,6,38,24,44,8,36,18]%%%}+%%%{412316860416,[0,6,38,24,42,8,38,19]%%%}+%%%{266287972352,[0,6,38,24,40,8,40,20]%%%}+%%%{68719476736,[0,6,38,24,38,8,42,21]%%%}+%%%{-4294967296*i,[0,6,36,24,48,9,32,16]%%%}+%%%{-34359738368*i,[0,6,36,24,46,9,34,17]%%%}+%%%{-107374182400*i,[0,6,36,24,44,9,36,18]%%%}+%%%{-163208757248*i,[0,6,36,24,42,9,38,19]%%%}+%%%{-120259084288*i,[0,6,36,24,40,9,40,20]%%%}+%%%{-34359738368*i,[0,6,36,24,38,9,42,21]%%%}+%%%{-1073741824,[0,6,34,24,48,10,32,16]%%%}+%%%{-10200547328,[0,6,34,24,46,10,34,17]%%%}+%%%{-37044092928,[0,6,34,24,44,10,36,18]%%%}+%%%{-64424509440,[0,6,34,24,42,10,38,19]%%%}+%%%{-53687091200,[0,6,34,24,40,10,40,20]%%%}+%%%{-17179869184,[0,6,34,24,38,10,42,21]%%%}+%%%{16777216,[0,4,36,24,48,8,24,12]%%%}+%%%{369098752,[0,4,36,24,46,8,26,13]%%%}+%%%{2315255808,[0,4,36,24,44,8,28,14]%%%}+%%%{6408896512,[0,4,36,24,42,8,30,15]%%%}+%%%{8875147264,[0,4,36,24,40,8,32,16]%%%}+%%%{6039797760,[0,4,36,24,38,8,34,17]%%%}+%%%{1610612736,[0,4,36,24,36,8,36,18]%%%}+%%%{-134217728*i,[0,4,34,24,46,9,26,13]%%%}+%%%{-1275068416*i,[0,4,34,24,44,9,28,14]%%%}+%%%{-4429185024*i,[0,4,34,24,42,9,30,15]%%%}+%%%{-7180648448*i,[0,4,34,24,40,9,32,16]%%%}+%%%{-5502926848*i,[0,4,34,24,38,9,34,17]%%%}+%%%{-1610612736*i,[0,4,34,24,36,9,36,18]%%%}+%%%{-8388608,[0,4,32,24,46,10,26,13]%%%}+%%%{-234881024,[0,4,32,24,44,10,28,14]%%%}+%%%{-1258291200,[0,4,32,24,42,10,30,15]%%%}+%%%{-2642411520,[0,4,32,24,40,10,32,16]%%%}+%%%{-2415919104,[0,4,32,24,38,10,34,17]%%%}+%%%{-805306368,[0,4,32,24,36,10,36,18]%%%}+%%%{50331648*i,[0,4,30,24,44,11,28,14]%%%}+%%%{369098752*i,[0,4,30,24,42,11,30,15]%%%}+%%%{956301312*i,[0,4,30,24,40,11,32,16]%%%}+%%%{1040187392*i,[0,4,30,24,38,11,34,17]%%%}+%%%{402653184*i,[0,4,30,24,36,11,36,18]%%%}+%%%{6291456,[0,4,28,24,44,12,28,14]%%%}+%%%{56623104,[0,4,28,24,42,12,30,15]%%%}+%%%{177209344,[0,4,28,24,40,12,32,16]%%%}+%%%{226492416,[0,4,28,24,38,12,34,17]%%%}+%%%{100663296,[0,4,28,24,36,12,36,18]%%%}+%%%{1572864,[0,2,34,24,44,8,20,10]%%%}+%%%{16252928,[0,2,34,24,42,8,22,11]%%%}+%%%{55050240,[0,2,34,24,40,8,24,12]%%%}+%%%{84410368,[0,2,34,24,38,8,26,13]%%%}+%%%{60817408,[0,2,34,24,36,8,28,14]%%%}+%%%{16777216,[0,2,34,24,34,8,30,15]%%%}+%%%{-1048576*i,[0,2,32,24,44,9,20,10]%%%}+%%%{-14680064*i,[0,2,32,24,42,9,22,11]%%%}+%%%{-59768832*i,[0,2,32,24,40,9,24,12]%%%}+%%%{-104857600*i,[0,2,32,24,38,9,26,13]%%%}+%%%{-83886080*i,[0,2,32,24,36,9,28,14]%%%}+%%%{-25165824*i,[0,2,32,24,34,9,30,15]%%%}+%%%{-131072,[0,2,30,24,44,10,20,10]%%%}+%%%{-3407872,[0,2,30,24,42,10,22,11]%%%}+%%%{-19398656,[0,2,30,24,40,10,24,12]%%%}+%%%{-41811968,[0,2,30,24,38,10,26,13]%%%}+%%%{-38273024,[0,2,30,24,36,10,28,14]%%%}+%%%{-12582912,[0,2,30,24,34,10,30,15]%%%}+%%%{2097152*i,[0,2,28,24,40,11,24,12]%%%}+%%%{8388608*i,[0,2,28,24,38,11,26,13]%%%}+%%%{10485760*i,[0,2,28,24,36,11,28,14]%%%}+%%%{4194304*i,[0,2,28,24,34,11,30,15]%%%}+%%%{-32768,[0,2,26,24,42,12,22,11]%%%}+%%%{557056,[0,2,26,24,40,12,24,12]%%%}+%%%{3637248,[0,2,26,24,38,12,26,13]%%%}+%%%{6160384,[0,2,26,24,36,12,28,14]%%%}+%%%{3145728,[0,2,26,24,34,12,30,15]%%%}+%%%{-196608*i,[0,2,24,24,40,13,24,12]%%%}+%%%{-1310720*i,[0,2,24,24,38,13,26,13]%%%}+%%%{-2621440*i,[0,2,24,24,36,13,28,14]%%%}+%%%{-1572864*i,[0,2,24,24,34,13,30,15]%%%}+%%%{-16384,[0,2,22,24,40,14,24,12]%%%}+%%%{-139264,[0,2,22,24,38,14,26,13]%%%}+%%%{-360448,[0,2,22,24,36,14,28,14]%%%}+%%%{-262144,[0,2,22,24,34,14,30,15]%%%}+%%%{36864,[0,0,32,24,40,8,16,8]%%%}+%%%{172032,[0,0,32,24,38,8,18,9]%%%}+%%%{299008,[0,0,32,24,36,8,20,10]%%%}+%%%{229376,[0,0,32,24,34,8,22,11]%%%}+%%%{65536,[0,0,32,24,32,8,24,12]%%%}+%%%{-49152*i,[0,0,30,24,40,9,16,8]%%%}+%%%{-262144*i,[0,0,30,24,38,9,18,9]%%%}+%%%{-507904*i,[0,0,30,24,36,9,20,10]%%%}+%%%{-425984*i,[0,0,30,24,34,9,22,11]%%%}+%%%{-131072*i,[0,0,30,24,32,9,24,12]%%%}+%%%{-22528,[0,0,28,24,40,10,16,8]%%%}+%%%{-124928,[0,0,28,24,38,10,18,9]%%%}+%%%{-249856,[0,0,28,24,36,10,20,10]%%%}+%%%{-212992,[0,0,28,24,34,10,22,11]%%%}+%%%{-65536,[0,0,28,24,32,10,24,12]%%%}+%%%{4096*i,[0,0,26,24,40,11,16,8]%%%}+%%%{8192*i,[0,0,26,24,38,11,18,9]%%%}+%%%{-20480*i,[0,0,26,24,36,11,20,10]%%%}+%%%{-57344*i,[0,0,26,24,34,11,22,11]%%%}+%%%{-32768*i,[0,0,26,24,32,11,24,12]%%%}+%%%{256,[0,0,24,24,40,12,16,8]%%%}+%%%{-8704,[0,0,24,24,38,12,18,9]%%%}+%%%{-49664,[0,0,24,24,36,12,20,10]%%%}+%%%{-81920,[0,0,24,24,34,12,22,11]%%%}+%%%{-40960,[0,0,24,24,32,12,24,12]%%%}+%%%{2048*i,[0,0,22,24,38,13,18,9]%%%}+%%%{11264*i,[0,0,22,24,36,13,20,10]%%%}+%%%{18432*i,[0,0,22,24,34,13,22,11]%%%}+%%%{8192*i,[0,0,22,24,32,13,24,12]%%%}+%%%{128,[0,0,20,24,38,14,18,9]%%%}+%%%{-256,[0,0,20,24,36,14,20,10]%%%}+%%%{-3072,[0,0,20,24,34,14,22,11]%%%}+%%%{-4096,[0,0,20,24,32,14,24,12]%%%}+%%%{256*i,[0,0,18,24,36,15,20,10]%%%}+%%%{1536*i,[0,0,18,24,34,15,22,11]%%%}+%%%{2048*i,[0,0,18,24,32,15,24,12]%%%}+%%%{16,[0,0,16,24,36,16,20,10]%%%}+%%%{128,[0,0,16,24,34,16,22,11]%%%}+%%%{256,[0,0,16,24,32,16,24,12]%%%} / %%%{-256,[0,2,10,4,16,2,8,4]%%%}+%%%{-1024,[0,2,10,4,14,2,10,5]%%%}+%%%{-1024,[0,2,10,4,12,2,12,6]%%%}+%%%{-12,[0,0,8,4,12,2,4,2]%%%}+%%%{-16,[0,0,8,4,10,2,6,3]%%%}+%%%{8*i,[0,0,6,4,12,3,4,2]%%%}+%%%{16*i,[0,0,6,4,10,3,6,3]%%%}+%%%{1,[0,0,4,4,12,4,4,2]%%%}+%%%{4,[0,0,4,4,10,4,6,3]%%%} Error: Bad Argument Value","F(-2)",0
700,0,0,0,0.000000," ","integrate((e*x^2+d)/(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{e x^{2} + d}{{\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x^2 + d)/(b*arcsin(c*x) + a)^(3/2), x)","F",0
701,0,0,0,0.000000," ","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
702,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(a+b*arcsin(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(e x^{2} + d\right)} {\left(b \arcsin\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((e*x^2 + d)*(b*arcsin(c*x) + a)^(3/2)), x)","F",0
703,-2,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(a+b*arcsin(c*x))^(3/2),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: 1.48Unable to divide, perhaps due to rounding error%%%{68719476736,[0,8,72,24,52,8,36,18]%%%}+%%%{687194767360,[0,8,72,24,50,8,38,19]%%%}+%%%{2817498546176,[0,8,72,24,48,8,40,20]%%%}+%%%{6047313952768,[0,8,72,24,46,8,42,21]%%%}+%%%{7146825580544,[0,8,72,24,44,8,44,22]%%%}+%%%{4398046511104,[0,8,72,24,42,8,46,23]%%%}+%%%{1099511627776,[0,8,72,24,40,8,48,24]%%%}+%%%{-2147483648,[0,6,66,24,50,8,30,15]%%%}+%%%{27917287424,[0,6,66,24,48,8,32,16]%%%}+%%%{135291469824,[0,6,66,24,46,8,34,17]%%%}+%%%{324270030848,[0,6,66,24,44,8,36,18]%%%}+%%%{412316860416,[0,6,66,24,42,8,38,19]%%%}+%%%{266287972352,[0,6,66,24,40,8,40,20]%%%}+%%%{68719476736,[0,6,66,24,38,8,42,21]%%%}+%%%{-12884901888*i,[0,6,64,24,48,9,32,16]%%%}+%%%{-103079215104*i,[0,6,64,24,46,9,34,17]%%%}+%%%{-322122547200*i,[0,6,64,24,44,9,36,18]%%%}+%%%{-489626271744*i,[0,6,64,24,42,9,38,19]%%%}+%%%{-360777252864*i,[0,6,64,24,40,9,40,20]%%%}+%%%{-103079215104*i,[0,6,64,24,38,9,42,21]%%%}+%%%{-9663676416,[0,6,62,24,48,10,32,16]%%%}+%%%{-91804925952,[0,6,62,24,46,10,34,17]%%%}+%%%{-333396836352,[0,6,62,24,44,10,36,18]%%%}+%%%{-579820584960,[0,6,62,24,42,10,38,19]%%%}+%%%{-483183820800,[0,6,62,24,40,10,40,20]%%%}+%%%{-154618822656,[0,6,62,24,38,10,42,21]%%%}+%%%{16777216,[0,4,60,24,48,8,24,12]%%%}+%%%{369098752,[0,4,60,24,46,8,26,13]%%%}+%%%{2315255808,[0,4,60,24,44,8,28,14]%%%}+%%%{6408896512,[0,4,60,24,42,8,30,15]%%%}+%%%{8875147264,[0,4,60,24,40,8,32,16]%%%}+%%%{6039797760,[0,4,60,24,38,8,34,17]%%%}+%%%{1610612736,[0,4,60,24,36,8,36,18]%%%}+%%%{-402653184*i,[0,4,58,24,46,9,26,13]%%%}+%%%{-3825205248*i,[0,4,58,24,44,9,28,14]%%%}+%%%{-13287555072*i,[0,4,58,24,42,9,30,15]%%%}+%%%{-21541945344*i,[0,4,58,24,40,9,32,16]%%%}+%%%{-16508780544*i,[0,4,58,24,38,9,34,17]%%%}+%%%{-4831838208*i,[0,4,58,24,36,9,36,18]%%%}+%%%{-75497472,[0,4,56,24,46,10,26,13]%%%}+%%%{-2113929216,[0,4,56,24,44,10,28,14]%%%}+%%%{-11324620800,[0,4,56,24,42,10,30,15]%%%}+%%%{-23781703680,[0,4,56,24,40,10,32,16]%%%}+%%%{-21743271936,[0,4,56,24,38,10,34,17]%%%}+%%%{-7247757312,[0,4,56,24,36,10,36,18]%%%}+%%%{1358954496*i,[0,4,54,24,44,11,28,14]%%%}+%%%{9965666304*i,[0,4,54,24,42,11,30,15]%%%}+%%%{25820135424*i,[0,4,54,24,40,11,32,16]%%%}+%%%{28085059584*i,[0,4,54,24,38,11,34,17]%%%}+%%%{10871635968*i,[0,4,54,24,36,11,36,18]%%%}+%%%{509607936,[0,4,52,24,44,12,28,14]%%%}+%%%{4586471424,[0,4,52,24,42,12,30,15]%%%}+%%%{14353956864,[0,4,52,24,40,12,32,16]%%%}+%%%{18345885696,[0,4,52,24,38,12,34,17]%%%}+%%%{8153726976,[0,4,52,24,36,12,36,18]%%%}+%%%{1572864,[0,2,54,24,44,8,20,10]%%%}+%%%{16252928,[0,2,54,24,42,8,22,11]%%%}+%%%{55050240,[0,2,54,24,40,8,24,12]%%%}+%%%{84410368,[0,2,54,24,38,8,26,13]%%%}+%%%{60817408,[0,2,54,24,36,8,28,14]%%%}+%%%{16777216,[0,2,54,24,34,8,30,15]%%%}+%%%{-3145728*i,[0,2,52,24,44,9,20,10]%%%}+%%%{-44040192*i,[0,2,52,24,42,9,22,11]%%%}+%%%{-179306496*i,[0,2,52,24,40,9,24,12]%%%}+%%%{-314572800*i,[0,2,52,24,38,9,26,13]%%%}+%%%{-251658240*i,[0,2,52,24,36,9,28,14]%%%}+%%%{-75497472*i,[0,2,52,24,34,9,30,15]%%%}+%%%{-1179648,[0,2,50,24,44,10,20,10]%%%}+%%%{-30670848,[0,2,50,24,42,10,22,11]%%%}+%%%{-174587904,[0,2,50,24,40,10,24,12]%%%}+%%%{-376307712,[0,2,50,24,38,10,26,13]%%%}+%%%{-344457216,[0,2,50,24,36,10,28,14]%%%}+%%%{-113246208,[0,2,50,24,34,10,30,15]%%%}+%%%{56623104*i,[0,2,48,24,40,11,24,12]%%%}+%%%{226492416*i,[0,2,48,24,38,11,26,13]%%%}+%%%{283115520*i,[0,2,48,24,36,11,28,14]%%%}+%%%{113246208*i,[0,2,48,24,34,11,30,15]%%%}+%%%{-2654208,[0,2,46,24,42,12,22,11]%%%}+%%%{45121536,[0,2,46,24,40,12,24,12]%%%}+%%%{294617088,[0,2,46,24,38,12,26,13]%%%}+%%%{498991104,[0,2,46,24,36,12,28,14]%%%}+%%%{254803968,[0,2,46,24,34,12,30,15]%%%}+%%%{-47775744*i,[0,2,44,24,40,13,24,12]%%%}+%%%{-318504960*i,[0,2,44,24,38,13,26,13]%%%}+%%%{-637009920*i,[0,2,44,24,36,13,28,14]%%%}+%%%{-382205952*i,[0,2,44,24,34,13,30,15]%%%}+%%%{-11943936,[0,2,42,24,40,14,24,12]%%%}+%%%{-101523456,[0,2,42,24,38,14,26,13]%%%}+%%%{-262766592,[0,2,42,24,36,14,28,14]%%%}+%%%{-191102976,[0,2,42,24,34,14,30,15]%%%}+%%%{36864,[0,0,48,24,40,8,16,8]%%%}+%%%{172032,[0,0,48,24,38,8,18,9]%%%}+%%%{299008,[0,0,48,24,36,8,20,10]%%%}+%%%{229376,[0,0,48,24,34,8,22,11]%%%}+%%%{65536,[0,0,48,24,32,8,24,12]%%%}+%%%{-147456*i,[0,0,46,24,40,9,16,8]%%%}+%%%{-786432*i,[0,0,46,24,38,9,18,9]%%%}+%%%{-1523712*i,[0,0,46,24,36,9,20,10]%%%}+%%%{-1277952*i,[0,0,46,24,34,9,22,11]%%%}+%%%{-393216*i,[0,0,46,24,32,9,24,12]%%%}+%%%{-202752,[0,0,44,24,40,10,16,8]%%%}+%%%{-1124352,[0,0,44,24,38,10,18,9]%%%}+%%%{-2248704,[0,0,44,24,36,10,20,10]%%%}+%%%{-1916928,[0,0,44,24,34,10,22,11]%%%}+%%%{-589824,[0,0,44,24,32,10,24,12]%%%}+%%%{110592*i,[0,0,42,24,40,11,16,8]%%%}+%%%{221184*i,[0,0,42,24,38,11,18,9]%%%}+%%%{-552960*i,[0,0,42,24,36,11,20,10]%%%}+%%%{-1548288*i,[0,0,42,24,34,11,22,11]%%%}+%%%{-884736*i,[0,0,42,24,32,11,24,12]%%%}+%%%{20736,[0,0,40,24,40,12,16,8]%%%}+%%%{-705024,[0,0,40,24,38,12,18,9]%%%}+%%%{-4022784,[0,0,40,24,36,12,20,10]%%%}+%%%{-6635520,[0,0,40,24,34,12,22,11]%%%}+%%%{-3317760,[0,0,40,24,32,12,24,12]%%%}+%%%{497664*i,[0,0,38,24,38,13,18,9]%%%}+%%%{2737152*i,[0,0,38,24,36,13,20,10]%%%}+%%%{4478976*i,[0,0,38,24,34,13,22,11]%%%}+%%%{1990656*i,[0,0,38,24,32,13,24,12]%%%}+%%%{93312,[0,0,36,24,38,14,18,9]%%%}+%%%{-186624,[0,0,36,24,36,14,20,10]%%%}+%%%{-2239488,[0,0,36,24,34,14,22,11]%%%}+%%%{-2985984,[0,0,36,24,32,14,24,12]%%%}+%%%{559872*i,[0,0,34,24,36,15,20,10]%%%}+%%%{3359232*i,[0,0,34,24,34,15,22,11]%%%}+%%%{4478976*i,[0,0,34,24,32,15,24,12]%%%}+%%%{104976,[0,0,32,24,36,16,20,10]%%%}+%%%{839808,[0,0,32,24,34,16,22,11]%%%}+%%%{1679616,[0,0,32,24,32,16,24,12]%%%} / %%%{-256,[0,2,18,4,16,2,8,4]%%%}+%%%{-1024,[0,2,18,4,14,2,10,5]%%%}+%%%{-1024,[0,2,18,4,12,2,12,6]%%%}+%%%{-12,[0,0,12,4,12,2,4,2]%%%}+%%%{-16,[0,0,12,4,10,2,6,3]%%%}+%%%{24*i,[0,0,10,4,12,3,4,2]%%%}+%%%{48*i,[0,0,10,4,10,3,6,3]%%%}+%%%{9,[0,0,8,4,12,4,4,2]%%%}+%%%{36,[0,0,8,4,10,4,6,3]%%%} Error: Bad Argument Value","F(-2)",0
