1,1,201,0,0.622474," ","integrate((e*x+d)^3*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","\frac{24 \, a c^{4} e^{3} x^{4} + 96 \, a c^{4} d e^{2} x^{3} + 144 \, a c^{4} d^{2} e x^{2} + 96 \, a c^{4} d^{3} x + 3 \, {\left(8 \, b c^{4} e^{3} x^{4} + 32 \, b c^{4} d e^{2} x^{3} + 48 \, b c^{4} d^{2} e x^{2} + 32 \, b c^{4} d^{3} x - 24 \, b c^{2} d^{2} e - 3 \, b e^{3}\right)} \arcsin\left(c x\right) + {\left(6 \, b c^{3} e^{3} x^{3} + 32 \, b c^{3} d e^{2} x^{2} + 96 \, b c^{3} d^{3} + 64 \, b c d e^{2} + 9 \, {\left(8 \, b c^{3} d^{2} e + b c e^{3}\right)} x\right)} \sqrt{-c^{2} x^{2} + 1}}{96 \, c^{4}}"," ",0,"1/96*(24*a*c^4*e^3*x^4 + 96*a*c^4*d*e^2*x^3 + 144*a*c^4*d^2*e*x^2 + 96*a*c^4*d^3*x + 3*(8*b*c^4*e^3*x^4 + 32*b*c^4*d*e^2*x^3 + 48*b*c^4*d^2*e*x^2 + 32*b*c^4*d^3*x - 24*b*c^2*d^2*e - 3*b*e^3)*arcsin(c*x) + (6*b*c^3*e^3*x^3 + 32*b*c^3*d*e^2*x^2 + 96*b*c^3*d^3 + 64*b*c*d*e^2 + 9*(8*b*c^3*d^2*e + b*c*e^3)*x)*sqrt(-c^2*x^2 + 1))/c^4","A",0
2,1,135,0,0.563697," ","integrate((e*x+d)^2*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","\frac{6 \, a c^{3} e^{2} x^{3} + 18 \, a c^{3} d e x^{2} + 18 \, a c^{3} d^{2} x + 3 \, {\left(2 \, b c^{3} e^{2} x^{3} + 6 \, b c^{3} d e x^{2} + 6 \, b c^{3} d^{2} x - 3 \, b c d e\right)} \arcsin\left(c x\right) + {\left(2 \, b c^{2} e^{2} x^{2} + 9 \, b c^{2} d e x + 18 \, b c^{2} d^{2} + 4 \, b e^{2}\right)} \sqrt{-c^{2} x^{2} + 1}}{18 \, c^{3}}"," ",0,"1/18*(6*a*c^3*e^2*x^3 + 18*a*c^3*d*e*x^2 + 18*a*c^3*d^2*x + 3*(2*b*c^3*e^2*x^3 + 6*b*c^3*d*e*x^2 + 6*b*c^3*d^2*x - 3*b*c*d*e)*arcsin(c*x) + (2*b*c^2*e^2*x^2 + 9*b*c^2*d*e*x + 18*b*c^2*d^2 + 4*b*e^2)*sqrt(-c^2*x^2 + 1))/c^3","A",0
3,1,76,0,1.352493," ","integrate((e*x+d)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","\frac{2 \, a c^{2} e x^{2} + 4 \, a c^{2} d x + {\left(2 \, b c^{2} e x^{2} + 4 \, b c^{2} d x - b e\right)} \arcsin\left(c x\right) + {\left(b c e x + 4 \, b c d\right)} \sqrt{-c^{2} x^{2} + 1}}{4 \, c^{2}}"," ",0,"1/4*(2*a*c^2*e*x^2 + 4*a*c^2*d*x + (2*b*c^2*e*x^2 + 4*b*c^2*d*x - b*e)*arcsin(c*x) + (b*c*e*x + 4*b*c*d)*sqrt(-c^2*x^2 + 1))/c^2","A",0
4,1,31,0,0.413644," ","integrate(a+b*arcsin(c*x),x, algorithm=""fricas"")","\frac{b c x \arcsin\left(c x\right) + a c x + \sqrt{-c^{2} x^{2} + 1} b}{c}"," ",0,"(b*c*x*arcsin(c*x) + a*c*x + sqrt(-c^2*x^2 + 1)*b)/c","A",0
5,0,0,0,0.445710," ","integrate((a+b*arcsin(c*x))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \arcsin\left(c x\right) + a}{e x + d}, x\right)"," ",0,"integral((b*arcsin(c*x) + a)/(e*x + d), x)","F",0
6,1,371,0,0.684114," ","integrate((a+b*arcsin(c*x))/(e*x+d)^2,x, algorithm=""fricas"")","\left[-\frac{2 \, a c^{2} d^{2} - 2 \, a e^{2} + \sqrt{-c^{2} d^{2} + e^{2}} {\left(b c e x + b c d\right)} \log\left(\frac{2 \, c^{2} d e x - c^{2} d^{2} + {\left(2 \, c^{4} d^{2} - c^{2} e^{2}\right)} x^{2} - 2 \, \sqrt{-c^{2} d^{2} + e^{2}} {\left(c^{2} d x + e\right)} \sqrt{-c^{2} x^{2} + 1} + 2 \, e^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}\right) + 2 \, {\left(b c^{2} d^{2} - b e^{2}\right)} \arcsin\left(c x\right)}{2 \, {\left(c^{2} d^{3} e - d e^{3} + {\left(c^{2} d^{2} e^{2} - e^{4}\right)} x\right)}}, -\frac{a c^{2} d^{2} - a e^{2} - \sqrt{c^{2} d^{2} - e^{2}} {\left(b c e x + b c d\right)} \arctan\left(\frac{\sqrt{c^{2} d^{2} - e^{2}} {\left(c^{2} d x + e\right)} \sqrt{-c^{2} x^{2} + 1}}{c^{2} d^{2} - {\left(c^{4} d^{2} - c^{2} e^{2}\right)} x^{2} - e^{2}}\right) + {\left(b c^{2} d^{2} - b e^{2}\right)} \arcsin\left(c x\right)}{c^{2} d^{3} e - d e^{3} + {\left(c^{2} d^{2} e^{2} - e^{4}\right)} x}\right]"," ",0,"[-1/2*(2*a*c^2*d^2 - 2*a*e^2 + sqrt(-c^2*d^2 + e^2)*(b*c*e*x + b*c*d)*log((2*c^2*d*e*x - c^2*d^2 + (2*c^4*d^2 - c^2*e^2)*x^2 - 2*sqrt(-c^2*d^2 + e^2)*(c^2*d*x + e)*sqrt(-c^2*x^2 + 1) + 2*e^2)/(e^2*x^2 + 2*d*e*x + d^2)) + 2*(b*c^2*d^2 - b*e^2)*arcsin(c*x))/(c^2*d^3*e - d*e^3 + (c^2*d^2*e^2 - e^4)*x), -(a*c^2*d^2 - a*e^2 - sqrt(c^2*d^2 - e^2)*(b*c*e*x + b*c*d)*arctan(sqrt(c^2*d^2 - e^2)*(c^2*d*x + e)*sqrt(-c^2*x^2 + 1)/(c^2*d^2 - (c^4*d^2 - c^2*e^2)*x^2 - e^2)) + (b*c^2*d^2 - b*e^2)*arcsin(c*x))/(c^2*d^3*e - d*e^3 + (c^2*d^2*e^2 - e^4)*x)]","B",0
7,1,673,0,0.798237," ","integrate((a+b*arcsin(c*x))/(e*x+d)^3,x, algorithm=""fricas"")","\left[-\frac{2 \, a c^{4} d^{4} - 4 \, a c^{2} d^{2} e^{2} + 2 \, a e^{4} - {\left(b c^{3} d e^{2} x^{2} + 2 \, b c^{3} d^{2} e x + b c^{3} d^{3}\right)} \sqrt{-c^{2} d^{2} + e^{2}} \log\left(\frac{2 \, c^{2} d e x - c^{2} d^{2} + {\left(2 \, c^{4} d^{2} - c^{2} e^{2}\right)} x^{2} + 2 \, \sqrt{-c^{2} d^{2} + e^{2}} {\left(c^{2} d x + e\right)} \sqrt{-c^{2} x^{2} + 1} + 2 \, e^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}\right) + 2 \, {\left(b c^{4} d^{4} - 2 \, b c^{2} d^{2} e^{2} + b e^{4}\right)} \arcsin\left(c x\right) - 2 \, {\left(b c^{3} d^{3} e - b c d e^{3} + {\left(b c^{3} d^{2} e^{2} - b c e^{4}\right)} x\right)} \sqrt{-c^{2} x^{2} + 1}}{4 \, {\left(c^{4} d^{6} e - 2 \, c^{2} d^{4} e^{3} + d^{2} e^{5} + {\left(c^{4} d^{4} e^{3} - 2 \, c^{2} d^{2} e^{5} + e^{7}\right)} x^{2} + 2 \, {\left(c^{4} d^{5} e^{2} - 2 \, c^{2} d^{3} e^{4} + d e^{6}\right)} x\right)}}, -\frac{a c^{4} d^{4} - 2 \, a c^{2} d^{2} e^{2} + a e^{4} - {\left(b c^{3} d e^{2} x^{2} + 2 \, b c^{3} d^{2} e x + b c^{3} d^{3}\right)} \sqrt{c^{2} d^{2} - e^{2}} \arctan\left(\frac{\sqrt{c^{2} d^{2} - e^{2}} {\left(c^{2} d x + e\right)} \sqrt{-c^{2} x^{2} + 1}}{c^{2} d^{2} - {\left(c^{4} d^{2} - c^{2} e^{2}\right)} x^{2} - e^{2}}\right) + {\left(b c^{4} d^{4} - 2 \, b c^{2} d^{2} e^{2} + b e^{4}\right)} \arcsin\left(c x\right) - {\left(b c^{3} d^{3} e - b c d e^{3} + {\left(b c^{3} d^{2} e^{2} - b c e^{4}\right)} x\right)} \sqrt{-c^{2} x^{2} + 1}}{2 \, {\left(c^{4} d^{6} e - 2 \, c^{2} d^{4} e^{3} + d^{2} e^{5} + {\left(c^{4} d^{4} e^{3} - 2 \, c^{2} d^{2} e^{5} + e^{7}\right)} x^{2} + 2 \, {\left(c^{4} d^{5} e^{2} - 2 \, c^{2} d^{3} e^{4} + d e^{6}\right)} x\right)}}\right]"," ",0,"[-1/4*(2*a*c^4*d^4 - 4*a*c^2*d^2*e^2 + 2*a*e^4 - (b*c^3*d*e^2*x^2 + 2*b*c^3*d^2*e*x + b*c^3*d^3)*sqrt(-c^2*d^2 + e^2)*log((2*c^2*d*e*x - c^2*d^2 + (2*c^4*d^2 - c^2*e^2)*x^2 + 2*sqrt(-c^2*d^2 + e^2)*(c^2*d*x + e)*sqrt(-c^2*x^2 + 1) + 2*e^2)/(e^2*x^2 + 2*d*e*x + d^2)) + 2*(b*c^4*d^4 - 2*b*c^2*d^2*e^2 + b*e^4)*arcsin(c*x) - 2*(b*c^3*d^3*e - b*c*d*e^3 + (b*c^3*d^2*e^2 - b*c*e^4)*x)*sqrt(-c^2*x^2 + 1))/(c^4*d^6*e - 2*c^2*d^4*e^3 + d^2*e^5 + (c^4*d^4*e^3 - 2*c^2*d^2*e^5 + e^7)*x^2 + 2*(c^4*d^5*e^2 - 2*c^2*d^3*e^4 + d*e^6)*x), -1/2*(a*c^4*d^4 - 2*a*c^2*d^2*e^2 + a*e^4 - (b*c^3*d*e^2*x^2 + 2*b*c^3*d^2*e*x + b*c^3*d^3)*sqrt(c^2*d^2 - e^2)*arctan(sqrt(c^2*d^2 - e^2)*(c^2*d*x + e)*sqrt(-c^2*x^2 + 1)/(c^2*d^2 - (c^4*d^2 - c^2*e^2)*x^2 - e^2)) + (b*c^4*d^4 - 2*b*c^2*d^2*e^2 + b*e^4)*arcsin(c*x) - (b*c^3*d^3*e - b*c*d*e^3 + (b*c^3*d^2*e^2 - b*c*e^4)*x)*sqrt(-c^2*x^2 + 1))/(c^4*d^6*e - 2*c^2*d^4*e^3 + d^2*e^5 + (c^4*d^4*e^3 - 2*c^2*d^2*e^5 + e^7)*x^2 + 2*(c^4*d^5*e^2 - 2*c^2*d^3*e^4 + d*e^6)*x)]","B",0
8,1,1125,0,7.422044," ","integrate((a+b*arcsin(c*x))/(e*x+d)^4,x, algorithm=""fricas"")","\left[-\frac{4 \, a c^{6} d^{6} - 12 \, a c^{4} d^{4} e^{2} + 12 \, a c^{2} d^{2} e^{4} - 4 \, a e^{6} + {\left(2 \, b c^{5} d^{5} + b c^{3} d^{3} e^{2} + {\left(2 \, b c^{5} d^{2} e^{3} + b c^{3} e^{5}\right)} x^{3} + 3 \, {\left(2 \, b c^{5} d^{3} e^{2} + b c^{3} d e^{4}\right)} x^{2} + 3 \, {\left(2 \, b c^{5} d^{4} e + b c^{3} d^{2} e^{3}\right)} x\right)} \sqrt{-c^{2} d^{2} + e^{2}} \log\left(\frac{2 \, c^{2} d e x - c^{2} d^{2} + {\left(2 \, c^{4} d^{2} - c^{2} e^{2}\right)} x^{2} - 2 \, \sqrt{-c^{2} d^{2} + e^{2}} {\left(c^{2} d x + e\right)} \sqrt{-c^{2} x^{2} + 1} + 2 \, e^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}\right) + 4 \, {\left(b c^{6} d^{6} - 3 \, b c^{4} d^{4} e^{2} + 3 \, b c^{2} d^{2} e^{4} - b e^{6}\right)} \arcsin\left(c x\right) - 2 \, {\left(4 \, b c^{5} d^{5} e - 5 \, b c^{3} d^{3} e^{3} + b c d e^{5} + 3 \, {\left(b c^{5} d^{3} e^{3} - b c^{3} d e^{5}\right)} x^{2} + {\left(7 \, b c^{5} d^{4} e^{2} - 8 \, b c^{3} d^{2} e^{4} + b c e^{6}\right)} x\right)} \sqrt{-c^{2} x^{2} + 1}}{12 \, {\left(c^{6} d^{9} e - 3 \, c^{4} d^{7} e^{3} + 3 \, c^{2} d^{5} e^{5} - d^{3} e^{7} + {\left(c^{6} d^{6} e^{4} - 3 \, c^{4} d^{4} e^{6} + 3 \, c^{2} d^{2} e^{8} - e^{10}\right)} x^{3} + 3 \, {\left(c^{6} d^{7} e^{3} - 3 \, c^{4} d^{5} e^{5} + 3 \, c^{2} d^{3} e^{7} - d e^{9}\right)} x^{2} + 3 \, {\left(c^{6} d^{8} e^{2} - 3 \, c^{4} d^{6} e^{4} + 3 \, c^{2} d^{4} e^{6} - d^{2} e^{8}\right)} x\right)}}, -\frac{2 \, a c^{6} d^{6} - 6 \, a c^{4} d^{4} e^{2} + 6 \, a c^{2} d^{2} e^{4} - 2 \, a e^{6} - {\left(2 \, b c^{5} d^{5} + b c^{3} d^{3} e^{2} + {\left(2 \, b c^{5} d^{2} e^{3} + b c^{3} e^{5}\right)} x^{3} + 3 \, {\left(2 \, b c^{5} d^{3} e^{2} + b c^{3} d e^{4}\right)} x^{2} + 3 \, {\left(2 \, b c^{5} d^{4} e + b c^{3} d^{2} e^{3}\right)} x\right)} \sqrt{c^{2} d^{2} - e^{2}} \arctan\left(\frac{\sqrt{c^{2} d^{2} - e^{2}} {\left(c^{2} d x + e\right)} \sqrt{-c^{2} x^{2} + 1}}{c^{2} d^{2} - {\left(c^{4} d^{2} - c^{2} e^{2}\right)} x^{2} - e^{2}}\right) + 2 \, {\left(b c^{6} d^{6} - 3 \, b c^{4} d^{4} e^{2} + 3 \, b c^{2} d^{2} e^{4} - b e^{6}\right)} \arcsin\left(c x\right) - {\left(4 \, b c^{5} d^{5} e - 5 \, b c^{3} d^{3} e^{3} + b c d e^{5} + 3 \, {\left(b c^{5} d^{3} e^{3} - b c^{3} d e^{5}\right)} x^{2} + {\left(7 \, b c^{5} d^{4} e^{2} - 8 \, b c^{3} d^{2} e^{4} + b c e^{6}\right)} x\right)} \sqrt{-c^{2} x^{2} + 1}}{6 \, {\left(c^{6} d^{9} e - 3 \, c^{4} d^{7} e^{3} + 3 \, c^{2} d^{5} e^{5} - d^{3} e^{7} + {\left(c^{6} d^{6} e^{4} - 3 \, c^{4} d^{4} e^{6} + 3 \, c^{2} d^{2} e^{8} - e^{10}\right)} x^{3} + 3 \, {\left(c^{6} d^{7} e^{3} - 3 \, c^{4} d^{5} e^{5} + 3 \, c^{2} d^{3} e^{7} - d e^{9}\right)} x^{2} + 3 \, {\left(c^{6} d^{8} e^{2} - 3 \, c^{4} d^{6} e^{4} + 3 \, c^{2} d^{4} e^{6} - d^{2} e^{8}\right)} x\right)}}\right]"," ",0,"[-1/12*(4*a*c^6*d^6 - 12*a*c^4*d^4*e^2 + 12*a*c^2*d^2*e^4 - 4*a*e^6 + (2*b*c^5*d^5 + b*c^3*d^3*e^2 + (2*b*c^5*d^2*e^3 + b*c^3*e^5)*x^3 + 3*(2*b*c^5*d^3*e^2 + b*c^3*d*e^4)*x^2 + 3*(2*b*c^5*d^4*e + b*c^3*d^2*e^3)*x)*sqrt(-c^2*d^2 + e^2)*log((2*c^2*d*e*x - c^2*d^2 + (2*c^4*d^2 - c^2*e^2)*x^2 - 2*sqrt(-c^2*d^2 + e^2)*(c^2*d*x + e)*sqrt(-c^2*x^2 + 1) + 2*e^2)/(e^2*x^2 + 2*d*e*x + d^2)) + 4*(b*c^6*d^6 - 3*b*c^4*d^4*e^2 + 3*b*c^2*d^2*e^4 - b*e^6)*arcsin(c*x) - 2*(4*b*c^5*d^5*e - 5*b*c^3*d^3*e^3 + b*c*d*e^5 + 3*(b*c^5*d^3*e^3 - b*c^3*d*e^5)*x^2 + (7*b*c^5*d^4*e^2 - 8*b*c^3*d^2*e^4 + b*c*e^6)*x)*sqrt(-c^2*x^2 + 1))/(c^6*d^9*e - 3*c^4*d^7*e^3 + 3*c^2*d^5*e^5 - d^3*e^7 + (c^6*d^6*e^4 - 3*c^4*d^4*e^6 + 3*c^2*d^2*e^8 - e^10)*x^3 + 3*(c^6*d^7*e^3 - 3*c^4*d^5*e^5 + 3*c^2*d^3*e^7 - d*e^9)*x^2 + 3*(c^6*d^8*e^2 - 3*c^4*d^6*e^4 + 3*c^2*d^4*e^6 - d^2*e^8)*x), -1/6*(2*a*c^6*d^6 - 6*a*c^4*d^4*e^2 + 6*a*c^2*d^2*e^4 - 2*a*e^6 - (2*b*c^5*d^5 + b*c^3*d^3*e^2 + (2*b*c^5*d^2*e^3 + b*c^3*e^5)*x^3 + 3*(2*b*c^5*d^3*e^2 + b*c^3*d*e^4)*x^2 + 3*(2*b*c^5*d^4*e + b*c^3*d^2*e^3)*x)*sqrt(c^2*d^2 - e^2)*arctan(sqrt(c^2*d^2 - e^2)*(c^2*d*x + e)*sqrt(-c^2*x^2 + 1)/(c^2*d^2 - (c^4*d^2 - c^2*e^2)*x^2 - e^2)) + 2*(b*c^6*d^6 - 3*b*c^4*d^4*e^2 + 3*b*c^2*d^2*e^4 - b*e^6)*arcsin(c*x) - (4*b*c^5*d^5*e - 5*b*c^3*d^3*e^3 + b*c*d*e^5 + 3*(b*c^5*d^3*e^3 - b*c^3*d*e^5)*x^2 + (7*b*c^5*d^4*e^2 - 8*b*c^3*d^2*e^4 + b*c*e^6)*x)*sqrt(-c^2*x^2 + 1))/(c^6*d^9*e - 3*c^4*d^7*e^3 + 3*c^2*d^5*e^5 - d^3*e^7 + (c^6*d^6*e^4 - 3*c^4*d^4*e^6 + 3*c^2*d^2*e^8 - e^10)*x^3 + 3*(c^6*d^7*e^3 - 3*c^4*d^5*e^5 + 3*c^2*d^3*e^7 - d*e^9)*x^2 + 3*(c^6*d^8*e^2 - 3*c^4*d^6*e^4 + 3*c^2*d^4*e^6 - d^2*e^8)*x)]","B",0
9,1,446,0,0.659275," ","integrate((e*x+d)^3*(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","\frac{9 \, {\left(8 \, a^{2} - b^{2}\right)} c^{4} e^{3} x^{4} + 32 \, {\left(9 \, a^{2} - 2 \, b^{2}\right)} c^{4} d e^{2} x^{3} + 27 \, {\left(8 \, {\left(2 \, a^{2} - b^{2}\right)} c^{4} d^{2} e - b^{2} c^{2} e^{3}\right)} x^{2} + 9 \, {\left(8 \, b^{2} c^{4} e^{3} x^{4} + 32 \, b^{2} c^{4} d e^{2} x^{3} + 48 \, b^{2} c^{4} d^{2} e x^{2} + 32 \, b^{2} c^{4} d^{3} x - 24 \, b^{2} c^{2} d^{2} e - 3 \, b^{2} e^{3}\right)} \arcsin\left(c x\right)^{2} + 96 \, {\left(3 \, {\left(a^{2} - 2 \, b^{2}\right)} c^{4} d^{3} - 4 \, b^{2} c^{2} d e^{2}\right)} x + 18 \, {\left(8 \, a b c^{4} e^{3} x^{4} + 32 \, a b c^{4} d e^{2} x^{3} + 48 \, a b c^{4} d^{2} e x^{2} + 32 \, a b c^{4} d^{3} x - 24 \, a b c^{2} d^{2} e - 3 \, a b e^{3}\right)} \arcsin\left(c x\right) + 6 \, {\left(6 \, a b c^{3} e^{3} x^{3} + 32 \, a b c^{3} d e^{2} x^{2} + 96 \, a b c^{3} d^{3} + 64 \, a b c d e^{2} + 9 \, {\left(8 \, a b c^{3} d^{2} e + a b c e^{3}\right)} x + {\left(6 \, b^{2} c^{3} e^{3} x^{3} + 32 \, b^{2} c^{3} d e^{2} x^{2} + 96 \, b^{2} c^{3} d^{3} + 64 \, b^{2} c d e^{2} + 9 \, {\left(8 \, b^{2} c^{3} d^{2} e + b^{2} c e^{3}\right)} x\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} x^{2} + 1}}{288 \, c^{4}}"," ",0,"1/288*(9*(8*a^2 - b^2)*c^4*e^3*x^4 + 32*(9*a^2 - 2*b^2)*c^4*d*e^2*x^3 + 27*(8*(2*a^2 - b^2)*c^4*d^2*e - b^2*c^2*e^3)*x^2 + 9*(8*b^2*c^4*e^3*x^4 + 32*b^2*c^4*d*e^2*x^3 + 48*b^2*c^4*d^2*e*x^2 + 32*b^2*c^4*d^3*x - 24*b^2*c^2*d^2*e - 3*b^2*e^3)*arcsin(c*x)^2 + 96*(3*(a^2 - 2*b^2)*c^4*d^3 - 4*b^2*c^2*d*e^2)*x + 18*(8*a*b*c^4*e^3*x^4 + 32*a*b*c^4*d*e^2*x^3 + 48*a*b*c^4*d^2*e*x^2 + 32*a*b*c^4*d^3*x - 24*a*b*c^2*d^2*e - 3*a*b*e^3)*arcsin(c*x) + 6*(6*a*b*c^3*e^3*x^3 + 32*a*b*c^3*d*e^2*x^2 + 96*a*b*c^3*d^3 + 64*a*b*c*d*e^2 + 9*(8*a*b*c^3*d^2*e + a*b*c*e^3)*x + (6*b^2*c^3*e^3*x^3 + 32*b^2*c^3*d*e^2*x^2 + 96*b^2*c^3*d^3 + 64*b^2*c*d*e^2 + 9*(8*b^2*c^3*d^2*e + b^2*c*e^3)*x)*arcsin(c*x))*sqrt(-c^2*x^2 + 1))/c^4","A",0
10,1,290,0,0.579371," ","integrate((e*x+d)^2*(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","\frac{2 \, {\left(9 \, a^{2} - 2 \, b^{2}\right)} c^{3} e^{2} x^{3} + 27 \, {\left(2 \, a^{2} - b^{2}\right)} c^{3} d e x^{2} + 9 \, {\left(2 \, b^{2} c^{3} e^{2} x^{3} + 6 \, b^{2} c^{3} d e x^{2} + 6 \, b^{2} c^{3} d^{2} x - 3 \, b^{2} c d e\right)} \arcsin\left(c x\right)^{2} + 6 \, {\left(9 \, {\left(a^{2} - 2 \, b^{2}\right)} c^{3} d^{2} - 4 \, b^{2} c e^{2}\right)} x + 18 \, {\left(2 \, a b c^{3} e^{2} x^{3} + 6 \, a b c^{3} d e x^{2} + 6 \, a b c^{3} d^{2} x - 3 \, a b c d e\right)} \arcsin\left(c x\right) + 6 \, {\left(2 \, a b c^{2} e^{2} x^{2} + 9 \, a b c^{2} d e x + 18 \, a b c^{2} d^{2} + 4 \, a b e^{2} + {\left(2 \, b^{2} c^{2} e^{2} x^{2} + 9 \, b^{2} c^{2} d e x + 18 \, b^{2} c^{2} d^{2} + 4 \, b^{2} e^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} x^{2} + 1}}{54 \, c^{3}}"," ",0,"1/54*(2*(9*a^2 - 2*b^2)*c^3*e^2*x^3 + 27*(2*a^2 - b^2)*c^3*d*e*x^2 + 9*(2*b^2*c^3*e^2*x^3 + 6*b^2*c^3*d*e*x^2 + 6*b^2*c^3*d^2*x - 3*b^2*c*d*e)*arcsin(c*x)^2 + 6*(9*(a^2 - 2*b^2)*c^3*d^2 - 4*b^2*c*e^2)*x + 18*(2*a*b*c^3*e^2*x^3 + 6*a*b*c^3*d*e*x^2 + 6*a*b*c^3*d^2*x - 3*a*b*c*d*e)*arcsin(c*x) + 6*(2*a*b*c^2*e^2*x^2 + 9*a*b*c^2*d*e*x + 18*a*b*c^2*d^2 + 4*a*b*e^2 + (2*b^2*c^2*e^2*x^2 + 9*b^2*c^2*d*e*x + 18*b^2*c^2*d^2 + 4*b^2*e^2)*arcsin(c*x))*sqrt(-c^2*x^2 + 1))/c^3","A",0
11,1,156,0,0.668692," ","integrate((e*x+d)*(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","\frac{{\left(2 \, a^{2} - b^{2}\right)} c^{2} e x^{2} + 4 \, {\left(a^{2} - 2 \, b^{2}\right)} c^{2} d x + {\left(2 \, b^{2} c^{2} e x^{2} + 4 \, b^{2} c^{2} d x - b^{2} e\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(2 \, a b c^{2} e x^{2} + 4 \, a b c^{2} d x - a b e\right)} \arcsin\left(c x\right) + 2 \, {\left(a b c e x + 4 \, a b c d + {\left(b^{2} c e x + 4 \, b^{2} c d\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} x^{2} + 1}}{4 \, c^{2}}"," ",0,"1/4*((2*a^2 - b^2)*c^2*e*x^2 + 4*(a^2 - 2*b^2)*c^2*d*x + (2*b^2*c^2*e*x^2 + 4*b^2*c^2*d*x - b^2*e)*arcsin(c*x)^2 + 2*(2*a*b*c^2*e*x^2 + 4*a*b*c^2*d*x - a*b*e)*arcsin(c*x) + 2*(a*b*c*e*x + 4*a*b*c*d + (b^2*c*e*x + 4*b^2*c*d)*arcsin(c*x))*sqrt(-c^2*x^2 + 1))/c^2","A",0
12,1,65,0,0.524549," ","integrate((a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","\frac{b^{2} c x \arcsin\left(c x\right)^{2} + 2 \, a b c x \arcsin\left(c x\right) + {\left(a^{2} - 2 \, b^{2}\right)} c x + 2 \, \sqrt{-c^{2} x^{2} + 1} {\left(b^{2} \arcsin\left(c x\right) + a b\right)}}{c}"," ",0,"(b^2*c*x*arcsin(c*x)^2 + 2*a*b*c*x*arcsin(c*x) + (a^2 - 2*b^2)*c*x + 2*sqrt(-c^2*x^2 + 1)*(b^2*arcsin(c*x) + a*b))/c","A",0
13,0,0,0,0.699018," ","integrate((a+b*arcsin(c*x))^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \arcsin\left(c x\right)^{2} + 2 \, a b \arcsin\left(c x\right) + a^{2}}{e x + d}, x\right)"," ",0,"integral((b^2*arcsin(c*x)^2 + 2*a*b*arcsin(c*x) + a^2)/(e*x + d), x)","F",0
14,0,0,0,1.009826," ","integrate((a+b*arcsin(c*x))^2/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \arcsin\left(c x\right)^{2} + 2 \, a b \arcsin\left(c x\right) + a^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((b^2*arcsin(c*x)^2 + 2*a*b*arcsin(c*x) + a^2)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
15,0,0,0,0.635991," ","integrate((a+b*arcsin(c*x))^2/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \arcsin\left(c x\right)^{2} + 2 \, a b \arcsin\left(c x\right) + a^{2}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((b^2*arcsin(c*x)^2 + 2*a*b*arcsin(c*x) + a^2)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
16,0,0,0,0.457820," ","integrate((e*x+d)^3/(a+b*arcsin(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}{b \arcsin\left(c x\right) + a}, x\right)"," ",0,"integral((e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3)/(b*arcsin(c*x) + a), x)","F",0
17,0,0,0,0.672390," ","integrate((e*x+d)^2/(a+b*arcsin(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{2} x^{2} + 2 \, d e x + d^{2}}{b \arcsin\left(c x\right) + a}, x\right)"," ",0,"integral((e^2*x^2 + 2*d*e*x + d^2)/(b*arcsin(c*x) + a), x)","F",0
18,0,0,0,0.524396," ","integrate((e*x+d)/(a+b*arcsin(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x + d}{b \arcsin\left(c x\right) + a}, x\right)"," ",0,"integral((e*x + d)/(b*arcsin(c*x) + a), x)","F",0
19,0,0,0,1.601336," ","integrate(1/(a+b*arcsin(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \arcsin\left(c x\right) + a}, x\right)"," ",0,"integral(1/(b*arcsin(c*x) + a), x)","F",0
20,0,0,0,0.727898," ","integrate(1/(e*x+d)/(a+b*arcsin(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a e x + a d + {\left(b e x + b d\right)} \arcsin\left(c x\right)}, x\right)"," ",0,"integral(1/(a*e*x + a*d + (b*e*x + b*d)*arcsin(c*x)), x)","F",0
21,0,0,0,1.272764," ","integrate(1/(e*x+d)^2/(a+b*arcsin(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a e^{2} x^{2} + 2 \, a d e x + a d^{2} + {\left(b e^{2} x^{2} + 2 \, b d e x + b d^{2}\right)} \arcsin\left(c x\right)}, x\right)"," ",0,"integral(1/(a*e^2*x^2 + 2*a*d*e*x + a*d^2 + (b*e^2*x^2 + 2*b*d*e*x + b*d^2)*arcsin(c*x)), x)","F",0
22,0,0,0,1.045381," ","integrate((e*x+d)^2/(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{2} x^{2} + 2 \, d e x + d^{2}}{b^{2} \arcsin\left(c x\right)^{2} + 2 \, a b \arcsin\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((e^2*x^2 + 2*d*e*x + d^2)/(b^2*arcsin(c*x)^2 + 2*a*b*arcsin(c*x) + a^2), x)","F",0
23,0,0,0,0.701139," ","integrate((e*x+d)/(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x + d}{b^{2} \arcsin\left(c x\right)^{2} + 2 \, a b \arcsin\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((e*x + d)/(b^2*arcsin(c*x)^2 + 2*a*b*arcsin(c*x) + a^2), x)","F",0
24,0,0,0,0.516962," ","integrate(1/(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} \arcsin\left(c x\right)^{2} + 2 \, a b \arcsin\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(1/(b^2*arcsin(c*x)^2 + 2*a*b*arcsin(c*x) + a^2), x)","F",0
25,0,0,0,0.531233," ","integrate(1/(e*x+d)/(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} e x + a^{2} d + {\left(b^{2} e x + b^{2} d\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b e x + a b d\right)} \arcsin\left(c x\right)}, x\right)"," ",0,"integral(1/(a^2*e*x + a^2*d + (b^2*e*x + b^2*d)*arcsin(c*x)^2 + 2*(a*b*e*x + a*b*d)*arcsin(c*x)), x)","F",0
26,0,0,0,0.532577," ","integrate(1/(e*x+d)^2/(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} e^{2} x^{2} + 2 \, a^{2} d e x + a^{2} d^{2} + {\left(b^{2} e^{2} x^{2} + 2 \, b^{2} d e x + b^{2} d^{2}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b e^{2} x^{2} + 2 \, a b d e x + a b d^{2}\right)} \arcsin\left(c x\right)}, x\right)"," ",0,"integral(1/(a^2*e^2*x^2 + 2*a^2*d*e*x + a^2*d^2 + (b^2*e^2*x^2 + 2*b^2*d*e*x + b^2*d^2)*arcsin(c*x)^2 + 2*(a*b*e^2*x^2 + 2*a*b*d*e*x + a*b*d^2)*arcsin(c*x)), x)","F",0
27,0,0,0,1.126663," ","integrate((e*x+d)^m*(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \arcsin\left(c x\right)^{2} + 2 \, a b \arcsin\left(c x\right) + a^{2}\right)} {\left(e x + d\right)}^{m}, x\right)"," ",0,"integral((b^2*arcsin(c*x)^2 + 2*a*b*arcsin(c*x) + a^2)*(e*x + d)^m, x)","F",0
28,0,0,0,0.557411," ","integrate((e*x+d)^m*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \arcsin\left(c x\right) + a\right)} {\left(e x + d\right)}^{m}, x\right)"," ",0,"integral((b*arcsin(c*x) + a)*(e*x + d)^m, x)","F",0
29,0,0,0,0.580431," ","integrate((e*x+d)^m/(a+b*arcsin(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(e x + d\right)}^{m}}{b \arcsin\left(c x\right) + a}, x\right)"," ",0,"integral((e*x + d)^m/(b*arcsin(c*x) + a), x)","F",0
30,0,0,0,0.540876," ","integrate((e*x+d)^m/(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(e x + d\right)}^{m}}{b^{2} \arcsin\left(c x\right)^{2} + 2 \, a b \arcsin\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((e*x + d)^m/(b^2*arcsin(c*x)^2 + 2*a*b*arcsin(c*x) + a^2), x)","F",0
31,0,0,0,0.936510," ","integrate((g*x+f)^3*(a+b*arcsin(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(a g^{3} x^{3} + 3 \, a f g^{2} x^{2} + 3 \, a f^{2} g x + a f^{3} + {\left(b g^{3} x^{3} + 3 \, b f g^{2} x^{2} + 3 \, b f^{2} g x + b f^{3}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*g^3*x^3 + 3*a*f*g^2*x^2 + 3*a*f^2*g*x + a*f^3 + (b*g^3*x^3 + 3*b*f*g^2*x^2 + 3*b*f^2*g*x + b*f^3)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
32,0,0,0,0.555530," ","integrate((g*x+f)^2*(a+b*arcsin(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(a g^{2} x^{2} + 2 \, a f g x + a f^{2} + {\left(b g^{2} x^{2} + 2 \, b f g x + b f^{2}\right)} \arcsin\left(c x\right)\right)}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(a*g^2*x^2 + 2*a*f*g*x + a*f^2 + (b*g^2*x^2 + 2*b*f*g*x + b*f^2)*arcsin(c*x)), x)","F",0
33,0,0,0,0.738818," ","integrate((g*x+f)*(a+b*arcsin(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(a g x + a f + {\left(b g x + b f\right)} \arcsin\left(c x\right)\right)}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(a*g*x + a*f + (b*g*x + b*f)*arcsin(c*x)), x)","F",0
34,0,0,0,0.601435," ","integrate((a+b*arcsin(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \arcsin\left(c x\right) + a\right)}}{g x + f}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arcsin(c*x) + a)/(g*x + f), x)","F",0
35,0,0,0,0.587786," ","integrate((a+b*arcsin(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \arcsin\left(c x\right) + a\right)}}{g^{2} x^{2} + 2 \, f g x + f^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arcsin(c*x) + a)/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
36,0,0,0,0.603561," ","integrate((g*x+f)^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d g^{3} x^{5} + 3 \, a c^{2} d f g^{2} x^{4} - 3 \, a d f^{2} g x - a d f^{3} + {\left(3 \, a c^{2} d f^{2} g - a d g^{3}\right)} x^{3} + {\left(a c^{2} d f^{3} - 3 \, a d f g^{2}\right)} x^{2} + {\left(b c^{2} d g^{3} x^{5} + 3 \, b c^{2} d f g^{2} x^{4} - 3 \, b d f^{2} g x - b d f^{3} + {\left(3 \, b c^{2} d f^{2} g - b d g^{3}\right)} x^{3} + {\left(b c^{2} d f^{3} - 3 \, b d f g^{2}\right)} x^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a*c^2*d*g^3*x^5 + 3*a*c^2*d*f*g^2*x^4 - 3*a*d*f^2*g*x - a*d*f^3 + (3*a*c^2*d*f^2*g - a*d*g^3)*x^3 + (a*c^2*d*f^3 - 3*a*d*f*g^2)*x^2 + (b*c^2*d*g^3*x^5 + 3*b*c^2*d*f*g^2*x^4 - 3*b*d*f^2*g*x - b*d*f^3 + (3*b*c^2*d*f^2*g - b*d*g^3)*x^3 + (b*c^2*d*f^3 - 3*b*d*f*g^2)*x^2)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
37,0,0,0,0.639138," ","integrate((g*x+f)^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d g^{2} x^{4} + 2 \, a c^{2} d f g x^{3} - 2 \, a d f g x - a d f^{2} + {\left(a c^{2} d f^{2} - a d g^{2}\right)} x^{2} + {\left(b c^{2} d g^{2} x^{4} + 2 \, b c^{2} d f g x^{3} - 2 \, b d f g x - b d f^{2} + {\left(b c^{2} d f^{2} - b d g^{2}\right)} x^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a*c^2*d*g^2*x^4 + 2*a*c^2*d*f*g*x^3 - 2*a*d*f*g*x - a*d*f^2 + (a*c^2*d*f^2 - a*d*g^2)*x^2 + (b*c^2*d*g^2*x^4 + 2*b*c^2*d*f*g*x^3 - 2*b*d*f*g*x - b*d*f^2 + (b*c^2*d*f^2 - b*d*g^2)*x^2)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
38,0,0,0,0.487273," ","integrate((g*x+f)*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d g x^{3} + a c^{2} d f x^{2} - a d g x - a d f + {\left(b c^{2} d g x^{3} + b c^{2} d f x^{2} - b d g x - b d f\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a*c^2*d*g*x^3 + a*c^2*d*f*x^2 - a*d*g*x - a*d*f + (b*c^2*d*g*x^3 + b*c^2*d*f*x^2 - b*d*g*x - b*d*f)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
39,0,0,0,0.638674," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a c^{2} d x^{2} - a d + {\left(b c^{2} d x^{2} - b d\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{g x + f}, x\right)"," ",0,"integral(-(a*c^2*d*x^2 - a*d + (b*c^2*d*x^2 - b*d)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d)/(g*x + f), x)","F",0
40,0,0,0,1.742692," ","integrate((g*x+f)^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} g^{3} x^{7} + 3 \, a c^{4} d^{2} f g^{2} x^{6} + 3 \, a d^{2} f^{2} g x + a d^{2} f^{3} + {\left(3 \, a c^{4} d^{2} f^{2} g - 2 \, a c^{2} d^{2} g^{3}\right)} x^{5} + {\left(a c^{4} d^{2} f^{3} - 6 \, a c^{2} d^{2} f g^{2}\right)} x^{4} - {\left(6 \, a c^{2} d^{2} f^{2} g - a d^{2} g^{3}\right)} x^{3} - {\left(2 \, a c^{2} d^{2} f^{3} - 3 \, a d^{2} f g^{2}\right)} x^{2} + {\left(b c^{4} d^{2} g^{3} x^{7} + 3 \, b c^{4} d^{2} f g^{2} x^{6} + 3 \, b d^{2} f^{2} g x + b d^{2} f^{3} + {\left(3 \, b c^{4} d^{2} f^{2} g - 2 \, b c^{2} d^{2} g^{3}\right)} x^{5} + {\left(b c^{4} d^{2} f^{3} - 6 \, b c^{2} d^{2} f g^{2}\right)} x^{4} - {\left(6 \, b c^{2} d^{2} f^{2} g - b d^{2} g^{3}\right)} x^{3} - {\left(2 \, b c^{2} d^{2} f^{3} - 3 \, b d^{2} f g^{2}\right)} x^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*c^4*d^2*g^3*x^7 + 3*a*c^4*d^2*f*g^2*x^6 + 3*a*d^2*f^2*g*x + a*d^2*f^3 + (3*a*c^4*d^2*f^2*g - 2*a*c^2*d^2*g^3)*x^5 + (a*c^4*d^2*f^3 - 6*a*c^2*d^2*f*g^2)*x^4 - (6*a*c^2*d^2*f^2*g - a*d^2*g^3)*x^3 - (2*a*c^2*d^2*f^3 - 3*a*d^2*f*g^2)*x^2 + (b*c^4*d^2*g^3*x^7 + 3*b*c^4*d^2*f*g^2*x^6 + 3*b*d^2*f^2*g*x + b*d^2*f^3 + (3*b*c^4*d^2*f^2*g - 2*b*c^2*d^2*g^3)*x^5 + (b*c^4*d^2*f^3 - 6*b*c^2*d^2*f*g^2)*x^4 - (6*b*c^2*d^2*f^2*g - b*d^2*g^3)*x^3 - (2*b*c^2*d^2*f^3 - 3*b*d^2*f*g^2)*x^2)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
41,0,0,0,0.719309," ","integrate((g*x+f)^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} g^{2} x^{6} + 2 \, a c^{4} d^{2} f g x^{5} - 4 \, a c^{2} d^{2} f g x^{3} + 2 \, a d^{2} f g x + a d^{2} f^{2} + {\left(a c^{4} d^{2} f^{2} - 2 \, a c^{2} d^{2} g^{2}\right)} x^{4} - {\left(2 \, a c^{2} d^{2} f^{2} - a d^{2} g^{2}\right)} x^{2} + {\left(b c^{4} d^{2} g^{2} x^{6} + 2 \, b c^{4} d^{2} f g x^{5} - 4 \, b c^{2} d^{2} f g x^{3} + 2 \, b d^{2} f g x + b d^{2} f^{2} + {\left(b c^{4} d^{2} f^{2} - 2 \, b c^{2} d^{2} g^{2}\right)} x^{4} - {\left(2 \, b c^{2} d^{2} f^{2} - b d^{2} g^{2}\right)} x^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*c^4*d^2*g^2*x^6 + 2*a*c^4*d^2*f*g*x^5 - 4*a*c^2*d^2*f*g*x^3 + 2*a*d^2*f*g*x + a*d^2*f^2 + (a*c^4*d^2*f^2 - 2*a*c^2*d^2*g^2)*x^4 - (2*a*c^2*d^2*f^2 - a*d^2*g^2)*x^2 + (b*c^4*d^2*g^2*x^6 + 2*b*c^4*d^2*f*g*x^5 - 4*b*c^2*d^2*f*g*x^3 + 2*b*d^2*f*g*x + b*d^2*f^2 + (b*c^4*d^2*f^2 - 2*b*c^2*d^2*g^2)*x^4 - (2*b*c^2*d^2*f^2 - b*d^2*g^2)*x^2)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
42,0,0,0,0.566130," ","integrate((g*x+f)*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} g x^{5} + a c^{4} d^{2} f x^{4} - 2 \, a c^{2} d^{2} g x^{3} - 2 \, a c^{2} d^{2} f x^{2} + a d^{2} g x + a d^{2} f + {\left(b c^{4} d^{2} g x^{5} + b c^{4} d^{2} f x^{4} - 2 \, b c^{2} d^{2} g x^{3} - 2 \, b c^{2} d^{2} f x^{2} + b d^{2} g x + b d^{2} f\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*c^4*d^2*g*x^5 + a*c^4*d^2*f*x^4 - 2*a*c^2*d^2*g*x^3 - 2*a*c^2*d^2*f*x^2 + a*d^2*g*x + a*d^2*f + (b*c^4*d^2*g*x^5 + b*c^4*d^2*f*x^4 - 2*b*c^2*d^2*g*x^3 - 2*b*c^2*d^2*f*x^2 + b*d^2*g*x + b*d^2*f)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
43,0,0,0,0.971829," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a c^{4} d^{2} x^{4} - 2 \, a c^{2} d^{2} x^{2} + a d^{2} + {\left(b c^{4} d^{2} x^{4} - 2 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{g x + f}, x\right)"," ",0,"integral((a*c^4*d^2*x^4 - 2*a*c^2*d^2*x^2 + a*d^2 + (b*c^4*d^2*x^4 - 2*b*c^2*d^2*x^2 + b*d^2)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d)/(g*x + f), x)","F",0
44,0,0,0,1.155700," ","integrate((g*x+f)^3*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a g^{3} x^{3} + 3 \, a f g^{2} x^{2} + 3 \, a f^{2} g x + a f^{3} + {\left(b g^{3} x^{3} + 3 \, b f g^{2} x^{2} + 3 \, b f^{2} g x + b f^{3}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(a*g^3*x^3 + 3*a*f*g^2*x^2 + 3*a*f^2*g*x + a*f^3 + (b*g^3*x^3 + 3*b*f*g^2*x^2 + 3*b*f^2*g*x + b*f^3)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d)/(c^2*d*x^2 - d), x)","F",0
45,0,0,0,1.544515," ","integrate((g*x+f)^2*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a g^{2} x^{2} + 2 \, a f g x + a f^{2} + {\left(b g^{2} x^{2} + 2 \, b f g x + b f^{2}\right)} \arcsin\left(c x\right)\right)}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(a*g^2*x^2 + 2*a*f*g*x + a*f^2 + (b*g^2*x^2 + 2*b*f*g*x + b*f^2)*arcsin(c*x))/(c^2*d*x^2 - d), x)","F",0
46,0,0,0,0.707376," ","integrate((g*x+f)*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a g x + a f + {\left(b g x + b f\right)} \arcsin\left(c x\right)\right)}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(a*g*x + a*f + (b*g*x + b*f)*arcsin(c*x))/(c^2*d*x^2 - d), x)","F",0
47,0,0,0,1.521923," ","integrate((a+b*arcsin(c*x))/(g*x+f)/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \arcsin\left(c x\right) + a\right)}}{c^{2} d g x^{3} + c^{2} d f x^{2} - d g x - d f}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arcsin(c*x) + a)/(c^2*d*g*x^3 + c^2*d*f*x^2 - d*g*x - d*f), x)","F",0
48,0,0,0,0.819025," ","integrate((a+b*arcsin(c*x))/(g*x+f)^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \arcsin\left(c x\right) + a\right)}}{c^{2} d g^{2} x^{4} + 2 \, c^{2} d f g x^{3} - 2 \, d f g x - d f^{2} + {\left(c^{2} d f^{2} - d g^{2}\right)} x^{2}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arcsin(c*x) + a)/(c^2*d*g^2*x^4 + 2*c^2*d*f*g*x^3 - 2*d*f*g*x - d*f^2 + (c^2*d*f^2 - d*g^2)*x^2), x)","F",0
49,0,0,0,0.702439," ","integrate((g*x+f)^3*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a g^{3} x^{3} + 3 \, a f g^{2} x^{2} + 3 \, a f^{2} g x + a f^{3} + {\left(b g^{3} x^{3} + 3 \, b f g^{2} x^{2} + 3 \, b f^{2} g x + b f^{3}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((a*g^3*x^3 + 3*a*f*g^2*x^2 + 3*a*f^2*g*x + a*f^3 + (b*g^3*x^3 + 3*b*f*g^2*x^2 + 3*b*f^2*g*x + b*f^3)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
50,0,0,0,0.739274," ","integrate((g*x+f)^2*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a g^{2} x^{2} + 2 \, a f g x + a f^{2} + {\left(b g^{2} x^{2} + 2 \, b f g x + b f^{2}\right)} \arcsin\left(c x\right)\right)}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(a*g^2*x^2 + 2*a*f*g*x + a*f^2 + (b*g^2*x^2 + 2*b*f*g*x + b*f^2)*arcsin(c*x))/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
51,0,0,0,1.251051," ","integrate((g*x+f)*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a g x + a f + {\left(b g x + b f\right)} \arcsin\left(c x\right)\right)}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(a*g*x + a*f + (b*g*x + b*f)*arcsin(c*x))/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
52,0,0,0,0.639404," ","integrate((a+b*arcsin(c*x))/(g*x+f)/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \arcsin\left(c x\right) + a\right)}}{c^{4} d^{2} g x^{5} + c^{4} d^{2} f x^{4} - 2 \, c^{2} d^{2} g x^{3} - 2 \, c^{2} d^{2} f x^{2} + d^{2} g x + d^{2} f}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arcsin(c*x) + a)/(c^4*d^2*g*x^5 + c^4*d^2*f*x^4 - 2*c^2*d^2*g*x^3 - 2*c^2*d^2*f*x^2 + d^2*g*x + d^2*f), x)","F",0
53,0,0,0,1.139920," ","integrate((g*x+f)^4*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a g^{4} x^{4} + 4 \, a f g^{3} x^{3} + 6 \, a f^{2} g^{2} x^{2} + 4 \, a f^{3} g x + a f^{4} + {\left(b g^{4} x^{4} + 4 \, b f g^{3} x^{3} + 6 \, b f^{2} g^{2} x^{2} + 4 \, b f^{3} g x + b f^{4}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-(a*g^4*x^4 + 4*a*f*g^3*x^3 + 6*a*f^2*g^2*x^2 + 4*a*f^3*g*x + a*f^4 + (b*g^4*x^4 + 4*b*f*g^3*x^3 + 6*b*f^2*g^2*x^2 + 4*b*f^3*g*x + b*f^4)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
54,0,0,0,16.387828," ","integrate((g*x+f)^3*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a g^{3} x^{3} + 3 \, a f g^{2} x^{2} + 3 \, a f^{2} g x + a f^{3} + {\left(b g^{3} x^{3} + 3 \, b f g^{2} x^{2} + 3 \, b f^{2} g x + b f^{3}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-(a*g^3*x^3 + 3*a*f*g^2*x^2 + 3*a*f^2*g*x + a*f^3 + (b*g^3*x^3 + 3*b*f*g^2*x^2 + 3*b*f^2*g*x + b*f^3)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
55,0,0,0,5.418289," ","integrate((g*x+f)^2*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a g^{2} x^{2} + 2 \, a f g x + a f^{2} + {\left(b g^{2} x^{2} + 2 \, b f g x + b f^{2}\right)} \arcsin\left(c x\right)\right)}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(a*g^2*x^2 + 2*a*f*g*x + a*f^2 + (b*g^2*x^2 + 2*b*f*g*x + b*f^2)*arcsin(c*x))/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
56,0,0,0,2.026071," ","integrate((g*x+f)*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a g x + a f + {\left(b g x + b f\right)} \arcsin\left(c x\right)\right)}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(a*g*x + a*f + (b*g*x + b*f)*arcsin(c*x))/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
57,0,0,0,1.677249," ","integrate((a+b*arcsin(c*x))/(g*x+f)/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \arcsin\left(c x\right) + a\right)}}{c^{6} d^{3} g x^{7} + c^{6} d^{3} f x^{6} - 3 \, c^{4} d^{3} g x^{5} - 3 \, c^{4} d^{3} f x^{4} + 3 \, c^{2} d^{3} g x^{3} + 3 \, c^{2} d^{3} f x^{2} - d^{3} g x - d^{3} f}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arcsin(c*x) + a)/(c^6*d^3*g*x^7 + c^6*d^3*f*x^6 - 3*c^4*d^3*g*x^5 - 3*c^4*d^3*f*x^4 + 3*c^2*d^3*g*x^3 + 3*c^2*d^3*f*x^2 - d^3*g*x - d^3*f), x)","F",0
58,0,0,0,0.637470," ","integrate((g*x+f)^3*(a+b*arcsin(c*x))^2*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} g^{3} x^{3} + 3 \, a^{2} f g^{2} x^{2} + 3 \, a^{2} f^{2} g x + a^{2} f^{3} + {\left(b^{2} g^{3} x^{3} + 3 \, b^{2} f g^{2} x^{2} + 3 \, b^{2} f^{2} g x + b^{2} f^{3}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b g^{3} x^{3} + 3 \, a b f g^{2} x^{2} + 3 \, a b f^{2} g x + a b f^{3}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a^2*g^3*x^3 + 3*a^2*f*g^2*x^2 + 3*a^2*f^2*g*x + a^2*f^3 + (b^2*g^3*x^3 + 3*b^2*f*g^2*x^2 + 3*b^2*f^2*g*x + b^2*f^3)*arcsin(c*x)^2 + 2*(a*b*g^3*x^3 + 3*a*b*f*g^2*x^2 + 3*a*b*f^2*g*x + a*b*f^3)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
59,0,0,0,0.511820," ","integrate((g*x+f)^2*(a+b*arcsin(c*x))^2*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} g^{2} x^{2} + 2 \, a^{2} f g x + a^{2} f^{2} + {\left(b^{2} g^{2} x^{2} + 2 \, b^{2} f g x + b^{2} f^{2}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b g^{2} x^{2} + 2 \, a b f g x + a b f^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a^2*g^2*x^2 + 2*a^2*f*g*x + a^2*f^2 + (b^2*g^2*x^2 + 2*b^2*f*g*x + b^2*f^2)*arcsin(c*x)^2 + 2*(a*b*g^2*x^2 + 2*a*b*f*g*x + a*b*f^2)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
60,0,0,0,0.633409," ","integrate((g*x+f)*(a+b*arcsin(c*x))^2*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(a^{2} g x + a^{2} f + {\left(b^{2} g x + b^{2} f\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b g x + a b f\right)} \arcsin\left(c x\right)\right)}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(a^2*g*x + a^2*f + (b^2*g*x + b^2*f)*arcsin(c*x)^2 + 2*(a*b*g*x + a*b*f)*arcsin(c*x)), x)","F",0
61,0,0,0,1.107872," ","integrate((a+b*arcsin(c*x))^2*(-c^2*d*x^2+d)^(1/2)/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \arcsin\left(c x\right)^{2} + 2 \, a b \arcsin\left(c x\right) + a^{2}\right)}}{g x + f}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*arcsin(c*x)^2 + 2*a*b*arcsin(c*x) + a^2)/(g*x + f), x)","F",0
62,0,0,0,0.565218," ","integrate((g*x+f)^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a^{2} c^{2} d g^{3} x^{5} + 3 \, a^{2} c^{2} d f g^{2} x^{4} - 3 \, a^{2} d f^{2} g x - a^{2} d f^{3} + {\left(3 \, a^{2} c^{2} d f^{2} g - a^{2} d g^{3}\right)} x^{3} + {\left(a^{2} c^{2} d f^{3} - 3 \, a^{2} d f g^{2}\right)} x^{2} + {\left(b^{2} c^{2} d g^{3} x^{5} + 3 \, b^{2} c^{2} d f g^{2} x^{4} - 3 \, b^{2} d f^{2} g x - b^{2} d f^{3} + {\left(3 \, b^{2} c^{2} d f^{2} g - b^{2} d g^{3}\right)} x^{3} + {\left(b^{2} c^{2} d f^{3} - 3 \, b^{2} d f g^{2}\right)} x^{2}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d g^{3} x^{5} + 3 \, a b c^{2} d f g^{2} x^{4} - 3 \, a b d f^{2} g x - a b d f^{3} + {\left(3 \, a b c^{2} d f^{2} g - a b d g^{3}\right)} x^{3} + {\left(a b c^{2} d f^{3} - 3 \, a b d f g^{2}\right)} x^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a^2*c^2*d*g^3*x^5 + 3*a^2*c^2*d*f*g^2*x^4 - 3*a^2*d*f^2*g*x - a^2*d*f^3 + (3*a^2*c^2*d*f^2*g - a^2*d*g^3)*x^3 + (a^2*c^2*d*f^3 - 3*a^2*d*f*g^2)*x^2 + (b^2*c^2*d*g^3*x^5 + 3*b^2*c^2*d*f*g^2*x^4 - 3*b^2*d*f^2*g*x - b^2*d*f^3 + (3*b^2*c^2*d*f^2*g - b^2*d*g^3)*x^3 + (b^2*c^2*d*f^3 - 3*b^2*d*f*g^2)*x^2)*arcsin(c*x)^2 + 2*(a*b*c^2*d*g^3*x^5 + 3*a*b*c^2*d*f*g^2*x^4 - 3*a*b*d*f^2*g*x - a*b*d*f^3 + (3*a*b*c^2*d*f^2*g - a*b*d*g^3)*x^3 + (a*b*c^2*d*f^3 - 3*a*b*d*f*g^2)*x^2)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
63,0,0,0,0.745186," ","integrate((g*x+f)^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a^{2} c^{2} d g^{2} x^{4} + 2 \, a^{2} c^{2} d f g x^{3} - 2 \, a^{2} d f g x - a^{2} d f^{2} + {\left(a^{2} c^{2} d f^{2} - a^{2} d g^{2}\right)} x^{2} + {\left(b^{2} c^{2} d g^{2} x^{4} + 2 \, b^{2} c^{2} d f g x^{3} - 2 \, b^{2} d f g x - b^{2} d f^{2} + {\left(b^{2} c^{2} d f^{2} - b^{2} d g^{2}\right)} x^{2}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d g^{2} x^{4} + 2 \, a b c^{2} d f g x^{3} - 2 \, a b d f g x - a b d f^{2} + {\left(a b c^{2} d f^{2} - a b d g^{2}\right)} x^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a^2*c^2*d*g^2*x^4 + 2*a^2*c^2*d*f*g*x^3 - 2*a^2*d*f*g*x - a^2*d*f^2 + (a^2*c^2*d*f^2 - a^2*d*g^2)*x^2 + (b^2*c^2*d*g^2*x^4 + 2*b^2*c^2*d*f*g*x^3 - 2*b^2*d*f*g*x - b^2*d*f^2 + (b^2*c^2*d*f^2 - b^2*d*g^2)*x^2)*arcsin(c*x)^2 + 2*(a*b*c^2*d*g^2*x^4 + 2*a*b*c^2*d*f*g*x^3 - 2*a*b*d*f*g*x - a*b*d*f^2 + (a*b*c^2*d*f^2 - a*b*d*g^2)*x^2)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
64,0,0,0,1.472165," ","integrate((g*x+f)*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a^{2} c^{2} d g x^{3} + a^{2} c^{2} d f x^{2} - a^{2} d g x - a^{2} d f + {\left(b^{2} c^{2} d g x^{3} + b^{2} c^{2} d f x^{2} - b^{2} d g x - b^{2} d f\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d g x^{3} + a b c^{2} d f x^{2} - a b d g x - a b d f\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a^2*c^2*d*g*x^3 + a^2*c^2*d*f*x^2 - a^2*d*g*x - a^2*d*f + (b^2*c^2*d*g*x^3 + b^2*c^2*d*f*x^2 - b^2*d*g*x - b^2*d*f)*arcsin(c*x)^2 + 2*(a*b*c^2*d*g*x^3 + a*b*c^2*d*f*x^2 - a*b*d*g*x - a*b*d*f)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
65,0,0,0,0.509848," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a^{2} c^{2} d x^{2} - a^{2} d + {\left(b^{2} c^{2} d x^{2} - b^{2} d\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} - a b d\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{g x + f}, x\right)"," ",0,"integral(-(a^2*c^2*d*x^2 - a^2*d + (b^2*c^2*d*x^2 - b^2*d)*arcsin(c*x)^2 + 2*(a*b*c^2*d*x^2 - a*b*d)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d)/(g*x + f), x)","F",0
66,0,0,0,0.669891," ","integrate((g*x+f)^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} c^{4} d^{2} g^{3} x^{7} + 3 \, a^{2} c^{4} d^{2} f g^{2} x^{6} + 3 \, a^{2} d^{2} f^{2} g x + a^{2} d^{2} f^{3} + {\left(3 \, a^{2} c^{4} d^{2} f^{2} g - 2 \, a^{2} c^{2} d^{2} g^{3}\right)} x^{5} + {\left(a^{2} c^{4} d^{2} f^{3} - 6 \, a^{2} c^{2} d^{2} f g^{2}\right)} x^{4} - {\left(6 \, a^{2} c^{2} d^{2} f^{2} g - a^{2} d^{2} g^{3}\right)} x^{3} - {\left(2 \, a^{2} c^{2} d^{2} f^{3} - 3 \, a^{2} d^{2} f g^{2}\right)} x^{2} + {\left(b^{2} c^{4} d^{2} g^{3} x^{7} + 3 \, b^{2} c^{4} d^{2} f g^{2} x^{6} + 3 \, b^{2} d^{2} f^{2} g x + b^{2} d^{2} f^{3} + {\left(3 \, b^{2} c^{4} d^{2} f^{2} g - 2 \, b^{2} c^{2} d^{2} g^{3}\right)} x^{5} + {\left(b^{2} c^{4} d^{2} f^{3} - 6 \, b^{2} c^{2} d^{2} f g^{2}\right)} x^{4} - {\left(6 \, b^{2} c^{2} d^{2} f^{2} g - b^{2} d^{2} g^{3}\right)} x^{3} - {\left(2 \, b^{2} c^{2} d^{2} f^{3} - 3 \, b^{2} d^{2} f g^{2}\right)} x^{2}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b c^{4} d^{2} g^{3} x^{7} + 3 \, a b c^{4} d^{2} f g^{2} x^{6} + 3 \, a b d^{2} f^{2} g x + a b d^{2} f^{3} + {\left(3 \, a b c^{4} d^{2} f^{2} g - 2 \, a b c^{2} d^{2} g^{3}\right)} x^{5} + {\left(a b c^{4} d^{2} f^{3} - 6 \, a b c^{2} d^{2} f g^{2}\right)} x^{4} - {\left(6 \, a b c^{2} d^{2} f^{2} g - a b d^{2} g^{3}\right)} x^{3} - {\left(2 \, a b c^{2} d^{2} f^{3} - 3 \, a b d^{2} f g^{2}\right)} x^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a^2*c^4*d^2*g^3*x^7 + 3*a^2*c^4*d^2*f*g^2*x^6 + 3*a^2*d^2*f^2*g*x + a^2*d^2*f^3 + (3*a^2*c^4*d^2*f^2*g - 2*a^2*c^2*d^2*g^3)*x^5 + (a^2*c^4*d^2*f^3 - 6*a^2*c^2*d^2*f*g^2)*x^4 - (6*a^2*c^2*d^2*f^2*g - a^2*d^2*g^3)*x^3 - (2*a^2*c^2*d^2*f^3 - 3*a^2*d^2*f*g^2)*x^2 + (b^2*c^4*d^2*g^3*x^7 + 3*b^2*c^4*d^2*f*g^2*x^6 + 3*b^2*d^2*f^2*g*x + b^2*d^2*f^3 + (3*b^2*c^4*d^2*f^2*g - 2*b^2*c^2*d^2*g^3)*x^5 + (b^2*c^4*d^2*f^3 - 6*b^2*c^2*d^2*f*g^2)*x^4 - (6*b^2*c^2*d^2*f^2*g - b^2*d^2*g^3)*x^3 - (2*b^2*c^2*d^2*f^3 - 3*b^2*d^2*f*g^2)*x^2)*arcsin(c*x)^2 + 2*(a*b*c^4*d^2*g^3*x^7 + 3*a*b*c^4*d^2*f*g^2*x^6 + 3*a*b*d^2*f^2*g*x + a*b*d^2*f^3 + (3*a*b*c^4*d^2*f^2*g - 2*a*b*c^2*d^2*g^3)*x^5 + (a*b*c^4*d^2*f^3 - 6*a*b*c^2*d^2*f*g^2)*x^4 - (6*a*b*c^2*d^2*f^2*g - a*b*d^2*g^3)*x^3 - (2*a*b*c^2*d^2*f^3 - 3*a*b*d^2*f*g^2)*x^2)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
67,0,0,0,0.753676," ","integrate((g*x+f)^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} c^{4} d^{2} g^{2} x^{6} + 2 \, a^{2} c^{4} d^{2} f g x^{5} - 4 \, a^{2} c^{2} d^{2} f g x^{3} + 2 \, a^{2} d^{2} f g x + a^{2} d^{2} f^{2} + {\left(a^{2} c^{4} d^{2} f^{2} - 2 \, a^{2} c^{2} d^{2} g^{2}\right)} x^{4} - {\left(2 \, a^{2} c^{2} d^{2} f^{2} - a^{2} d^{2} g^{2}\right)} x^{2} + {\left(b^{2} c^{4} d^{2} g^{2} x^{6} + 2 \, b^{2} c^{4} d^{2} f g x^{5} - 4 \, b^{2} c^{2} d^{2} f g x^{3} + 2 \, b^{2} d^{2} f g x + b^{2} d^{2} f^{2} + {\left(b^{2} c^{4} d^{2} f^{2} - 2 \, b^{2} c^{2} d^{2} g^{2}\right)} x^{4} - {\left(2 \, b^{2} c^{2} d^{2} f^{2} - b^{2} d^{2} g^{2}\right)} x^{2}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b c^{4} d^{2} g^{2} x^{6} + 2 \, a b c^{4} d^{2} f g x^{5} - 4 \, a b c^{2} d^{2} f g x^{3} + 2 \, a b d^{2} f g x + a b d^{2} f^{2} + {\left(a b c^{4} d^{2} f^{2} - 2 \, a b c^{2} d^{2} g^{2}\right)} x^{4} - {\left(2 \, a b c^{2} d^{2} f^{2} - a b d^{2} g^{2}\right)} x^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a^2*c^4*d^2*g^2*x^6 + 2*a^2*c^4*d^2*f*g*x^5 - 4*a^2*c^2*d^2*f*g*x^3 + 2*a^2*d^2*f*g*x + a^2*d^2*f^2 + (a^2*c^4*d^2*f^2 - 2*a^2*c^2*d^2*g^2)*x^4 - (2*a^2*c^2*d^2*f^2 - a^2*d^2*g^2)*x^2 + (b^2*c^4*d^2*g^2*x^6 + 2*b^2*c^4*d^2*f*g*x^5 - 4*b^2*c^2*d^2*f*g*x^3 + 2*b^2*d^2*f*g*x + b^2*d^2*f^2 + (b^2*c^4*d^2*f^2 - 2*b^2*c^2*d^2*g^2)*x^4 - (2*b^2*c^2*d^2*f^2 - b^2*d^2*g^2)*x^2)*arcsin(c*x)^2 + 2*(a*b*c^4*d^2*g^2*x^6 + 2*a*b*c^4*d^2*f*g*x^5 - 4*a*b*c^2*d^2*f*g*x^3 + 2*a*b*d^2*f*g*x + a*b*d^2*f^2 + (a*b*c^4*d^2*f^2 - 2*a*b*c^2*d^2*g^2)*x^4 - (2*a*b*c^2*d^2*f^2 - a*b*d^2*g^2)*x^2)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
68,0,0,0,0.598789," ","integrate((g*x+f)*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} c^{4} d^{2} g x^{5} + a^{2} c^{4} d^{2} f x^{4} - 2 \, a^{2} c^{2} d^{2} g x^{3} - 2 \, a^{2} c^{2} d^{2} f x^{2} + a^{2} d^{2} g x + a^{2} d^{2} f + {\left(b^{2} c^{4} d^{2} g x^{5} + b^{2} c^{4} d^{2} f x^{4} - 2 \, b^{2} c^{2} d^{2} g x^{3} - 2 \, b^{2} c^{2} d^{2} f x^{2} + b^{2} d^{2} g x + b^{2} d^{2} f\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b c^{4} d^{2} g x^{5} + a b c^{4} d^{2} f x^{4} - 2 \, a b c^{2} d^{2} g x^{3} - 2 \, a b c^{2} d^{2} f x^{2} + a b d^{2} g x + a b d^{2} f\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a^2*c^4*d^2*g*x^5 + a^2*c^4*d^2*f*x^4 - 2*a^2*c^2*d^2*g*x^3 - 2*a^2*c^2*d^2*f*x^2 + a^2*d^2*g*x + a^2*d^2*f + (b^2*c^4*d^2*g*x^5 + b^2*c^4*d^2*f*x^4 - 2*b^2*c^2*d^2*g*x^3 - 2*b^2*c^2*d^2*f*x^2 + b^2*d^2*g*x + b^2*d^2*f)*arcsin(c*x)^2 + 2*(a*b*c^4*d^2*g*x^5 + a*b*c^4*d^2*f*x^4 - 2*a*b*c^2*d^2*g*x^3 - 2*a*b*c^2*d^2*f*x^2 + a*b*d^2*g*x + a*b*d^2*f)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
69,0,0,0,1.987752," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} c^{4} d^{2} x^{4} - 2 \, a^{2} c^{2} d^{2} x^{2} + a^{2} d^{2} + {\left(b^{2} c^{4} d^{2} x^{4} - 2 \, b^{2} c^{2} d^{2} x^{2} + b^{2} d^{2}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b c^{4} d^{2} x^{4} - 2 \, a b c^{2} d^{2} x^{2} + a b d^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{g x + f}, x\right)"," ",0,"integral((a^2*c^4*d^2*x^4 - 2*a^2*c^2*d^2*x^2 + a^2*d^2 + (b^2*c^4*d^2*x^4 - 2*b^2*c^2*d^2*x^2 + b^2*d^2)*arcsin(c*x)^2 + 2*(a*b*c^4*d^2*x^4 - 2*a*b*c^2*d^2*x^2 + a*b*d^2)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d)/(g*x + f), x)","F",0
70,0,0,0,3.033689," ","integrate((g*x+f)^3*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a^{2} g^{3} x^{3} + 3 \, a^{2} f g^{2} x^{2} + 3 \, a^{2} f^{2} g x + a^{2} f^{3} + {\left(b^{2} g^{3} x^{3} + 3 \, b^{2} f g^{2} x^{2} + 3 \, b^{2} f^{2} g x + b^{2} f^{3}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b g^{3} x^{3} + 3 \, a b f g^{2} x^{2} + 3 \, a b f^{2} g x + a b f^{3}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(a^2*g^3*x^3 + 3*a^2*f*g^2*x^2 + 3*a^2*f^2*g*x + a^2*f^3 + (b^2*g^3*x^3 + 3*b^2*f*g^2*x^2 + 3*b^2*f^2*g*x + b^2*f^3)*arcsin(c*x)^2 + 2*(a*b*g^3*x^3 + 3*a*b*f*g^2*x^2 + 3*a*b*f^2*g*x + a*b*f^3)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d)/(c^2*d*x^2 - d), x)","F",0
71,0,0,0,1.188919," ","integrate((g*x+f)^2*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a^{2} g^{2} x^{2} + 2 \, a^{2} f g x + a^{2} f^{2} + {\left(b^{2} g^{2} x^{2} + 2 \, b^{2} f g x + b^{2} f^{2}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b g^{2} x^{2} + 2 \, a b f g x + a b f^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(a^2*g^2*x^2 + 2*a^2*f*g*x + a^2*f^2 + (b^2*g^2*x^2 + 2*b^2*f*g*x + b^2*f^2)*arcsin(c*x)^2 + 2*(a*b*g^2*x^2 + 2*a*b*f*g*x + a*b*f^2)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d)/(c^2*d*x^2 - d), x)","F",0
72,0,0,0,0.542157," ","integrate((g*x+f)*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a^{2} g x + a^{2} f + {\left(b^{2} g x + b^{2} f\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b g x + a b f\right)} \arcsin\left(c x\right)\right)}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(a^2*g*x + a^2*f + (b^2*g*x + b^2*f)*arcsin(c*x)^2 + 2*(a*b*g*x + a*b*f)*arcsin(c*x))/(c^2*d*x^2 - d), x)","F",0
73,0,0,0,0.555755," ","integrate((a+b*arcsin(c*x))^2/(g*x+f)/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \arcsin\left(c x\right)^{2} + 2 \, a b \arcsin\left(c x\right) + a^{2}\right)}}{c^{2} d g x^{3} + c^{2} d f x^{2} - d g x - d f}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*arcsin(c*x)^2 + 2*a*b*arcsin(c*x) + a^2)/(c^2*d*g*x^3 + c^2*d*f*x^2 - d*g*x - d*f), x)","F",0
74,0,0,0,0.648977," ","integrate((a+b*arcsin(c*x))^2/(g*x+f)^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \arcsin\left(c x\right)^{2} + 2 \, a b \arcsin\left(c x\right) + a^{2}\right)}}{c^{2} d g^{2} x^{4} + 2 \, c^{2} d f g x^{3} - 2 \, d f g x - d f^{2} + {\left(c^{2} d f^{2} - d g^{2}\right)} x^{2}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*arcsin(c*x)^2 + 2*a*b*arcsin(c*x) + a^2)/(c^2*d*g^2*x^4 + 2*c^2*d*f*g*x^3 - 2*d*f*g*x - d*f^2 + (c^2*d*f^2 - d*g^2)*x^2), x)","F",0
75,0,0,0,0.677288," ","integrate((g*x+f)^3*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} g^{3} x^{3} + 3 \, a^{2} f g^{2} x^{2} + 3 \, a^{2} f^{2} g x + a^{2} f^{3} + {\left(b^{2} g^{3} x^{3} + 3 \, b^{2} f g^{2} x^{2} + 3 \, b^{2} f^{2} g x + b^{2} f^{3}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b g^{3} x^{3} + 3 \, a b f g^{2} x^{2} + 3 \, a b f^{2} g x + a b f^{3}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((a^2*g^3*x^3 + 3*a^2*f*g^2*x^2 + 3*a^2*f^2*g*x + a^2*f^3 + (b^2*g^3*x^3 + 3*b^2*f*g^2*x^2 + 3*b^2*f^2*g*x + b^2*f^3)*arcsin(c*x)^2 + 2*(a*b*g^3*x^3 + 3*a*b*f*g^2*x^2 + 3*a*b*f^2*g*x + a*b*f^3)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
76,0,0,0,0.662779," ","integrate((g*x+f)^2*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} g^{2} x^{2} + 2 \, a^{2} f g x + a^{2} f^{2} + {\left(b^{2} g^{2} x^{2} + 2 \, b^{2} f g x + b^{2} f^{2}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b g^{2} x^{2} + 2 \, a b f g x + a b f^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((a^2*g^2*x^2 + 2*a^2*f*g*x + a^2*f^2 + (b^2*g^2*x^2 + 2*b^2*f*g*x + b^2*f^2)*arcsin(c*x)^2 + 2*(a*b*g^2*x^2 + 2*a*b*f*g*x + a*b*f^2)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
77,0,0,0,0.702824," ","integrate((g*x+f)*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a^{2} g x + a^{2} f + {\left(b^{2} g x + b^{2} f\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b g x + a b f\right)} \arcsin\left(c x\right)\right)}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(a^2*g*x + a^2*f + (b^2*g*x + b^2*f)*arcsin(c*x)^2 + 2*(a*b*g*x + a*b*f)*arcsin(c*x))/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
78,0,0,0,2.021027," ","integrate((a+b*arcsin(c*x))^2/(g*x+f)/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \arcsin\left(c x\right)^{2} + 2 \, a b \arcsin\left(c x\right) + a^{2}\right)}}{c^{4} d^{2} g x^{5} + c^{4} d^{2} f x^{4} - 2 \, c^{2} d^{2} g x^{3} - 2 \, c^{2} d^{2} f x^{2} + d^{2} g x + d^{2} f}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*arcsin(c*x)^2 + 2*a*b*arcsin(c*x) + a^2)/(c^4*d^2*g*x^5 + c^4*d^2*f*x^4 - 2*c^2*d^2*g*x^3 - 2*c^2*d^2*f*x^2 + d^2*g*x + d^2*f), x)","F",0
79,0,0,0,2.267570," ","integrate((g*x+f)^3*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a^{2} g^{3} x^{3} + 3 \, a^{2} f g^{2} x^{2} + 3 \, a^{2} f^{2} g x + a^{2} f^{3} + {\left(b^{2} g^{3} x^{3} + 3 \, b^{2} f g^{2} x^{2} + 3 \, b^{2} f^{2} g x + b^{2} f^{3}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b g^{3} x^{3} + 3 \, a b f g^{2} x^{2} + 3 \, a b f^{2} g x + a b f^{3}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-(a^2*g^3*x^3 + 3*a^2*f*g^2*x^2 + 3*a^2*f^2*g*x + a^2*f^3 + (b^2*g^3*x^3 + 3*b^2*f*g^2*x^2 + 3*b^2*f^2*g*x + b^2*f^3)*arcsin(c*x)^2 + 2*(a*b*g^3*x^3 + 3*a*b*f*g^2*x^2 + 3*a*b*f^2*g*x + a*b*f^3)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
80,0,0,0,0.578288," ","integrate((g*x+f)^2*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a^{2} g^{2} x^{2} + 2 \, a^{2} f g x + a^{2} f^{2} + {\left(b^{2} g^{2} x^{2} + 2 \, b^{2} f g x + b^{2} f^{2}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b g^{2} x^{2} + 2 \, a b f g x + a b f^{2}\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-(a^2*g^2*x^2 + 2*a^2*f*g*x + a^2*f^2 + (b^2*g^2*x^2 + 2*b^2*f*g*x + b^2*f^2)*arcsin(c*x)^2 + 2*(a*b*g^2*x^2 + 2*a*b*f*g*x + a*b*f^2)*arcsin(c*x))*sqrt(-c^2*d*x^2 + d)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
81,0,0,0,0.454845," ","integrate((g*x+f)*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a^{2} g x + a^{2} f + {\left(b^{2} g x + b^{2} f\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b g x + a b f\right)} \arcsin\left(c x\right)\right)}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(a^2*g*x + a^2*f + (b^2*g*x + b^2*f)*arcsin(c*x)^2 + 2*(a*b*g*x + a*b*f)*arcsin(c*x))/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
82,0,0,0,0.566014," ","integrate((a+b*arcsin(c*x))^n*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b \arcsin\left(c x\right) + a\right)}^{n} \log\left({\left(g x + f\right)}^{m} h\right)}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b*arcsin(c*x) + a)^n*log((g*x + f)^m*h)/(c^2*x^2 - 1), x)","F",0
83,0,0,0,0.866014," ","integrate((a+b*arcsin(c*x))^3*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b^{3} \arcsin\left(c x\right)^{3} + 3 \, a b^{2} \arcsin\left(c x\right)^{2} + 3 \, a^{2} b \arcsin\left(c x\right) + a^{3}\right)} \sqrt{-c^{2} x^{2} + 1} \log\left({\left(g x + f\right)}^{m} h\right)}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b^3*arcsin(c*x)^3 + 3*a*b^2*arcsin(c*x)^2 + 3*a^2*b*arcsin(c*x) + a^3)*sqrt(-c^2*x^2 + 1)*log((g*x + f)^m*h)/(c^2*x^2 - 1), x)","F",0
84,0,0,0,0.784091," ","integrate((a+b*arcsin(c*x))^2*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b^{2} \arcsin\left(c x\right)^{2} + 2 \, a b \arcsin\left(c x\right) + a^{2}\right)} \log\left({\left(g x + f\right)}^{m} h\right)}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b^2*arcsin(c*x)^2 + 2*a*b*arcsin(c*x) + a^2)*log((g*x + f)^m*h)/(c^2*x^2 - 1), x)","F",0
85,0,0,0,1.187035," ","integrate((a+b*arcsin(c*x))*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b \arcsin\left(c x\right) + a\right)} \log\left({\left(g x + f\right)}^{m} h\right)}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b*arcsin(c*x) + a)*log((g*x + f)^m*h)/(c^2*x^2 - 1), x)","F",0
86,0,0,0,0.509544," ","integrate(log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} \log\left({\left(g x + f\right)}^{m} h\right)}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*log((g*x + f)^m*h)/(c^2*x^2 - 1), x)","F",0
87,0,0,0,1.522063," ","integrate(log(h*(g*x+f)^m)/(a+b*arcsin(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} \log\left({\left(g x + f\right)}^{m} h\right)}{a c^{2} x^{2} + {\left(b c^{2} x^{2} - b\right)} \arcsin\left(c x\right) - a}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*log((g*x + f)^m*h)/(a*c^2*x^2 + (b*c^2*x^2 - b)*arcsin(c*x) - a), x)","F",0
88,1,441,0,0.756814," ","integrate((e*x+d)^3*(g*x+f)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","\frac{480 \, a c^{5} e^{3} g x^{5} + 2400 \, a c^{5} d^{3} f x + 600 \, {\left(a c^{5} e^{3} f + 3 \, a c^{5} d e^{2} g\right)} x^{4} + 2400 \, {\left(a c^{5} d e^{2} f + a c^{5} d^{2} e g\right)} x^{3} + 1200 \, {\left(3 \, a c^{5} d^{2} e f + a c^{5} d^{3} g\right)} x^{2} + 15 \, {\left(32 \, b c^{5} e^{3} g x^{5} + 160 \, b c^{5} d^{3} f x + 40 \, {\left(b c^{5} e^{3} f + 3 \, b c^{5} d e^{2} g\right)} x^{4} + 160 \, {\left(b c^{5} d e^{2} f + b c^{5} d^{2} e g\right)} x^{3} + 80 \, {\left(3 \, b c^{5} d^{2} e f + b c^{5} d^{3} g\right)} x^{2} - 15 \, {\left(8 \, b c^{3} d^{2} e + b c e^{3}\right)} f - 5 \, {\left(8 \, b c^{3} d^{3} + 9 \, b c d e^{2}\right)} g\right)} \arcsin\left(c x\right) + {\left(96 \, b c^{4} e^{3} g x^{4} + 150 \, {\left(b c^{4} e^{3} f + 3 \, b c^{4} d e^{2} g\right)} x^{3} + 32 \, {\left(25 \, b c^{4} d e^{2} f + {\left(25 \, b c^{4} d^{2} e + 4 \, b c^{2} e^{3}\right)} g\right)} x^{2} + 800 \, {\left(3 \, b c^{4} d^{3} + 2 \, b c^{2} d e^{2}\right)} f + 64 \, {\left(25 \, b c^{2} d^{2} e + 4 \, b e^{3}\right)} g + 75 \, {\left(3 \, {\left(8 \, b c^{4} d^{2} e + b c^{2} e^{3}\right)} f + {\left(8 \, b c^{4} d^{3} + 9 \, b c^{2} d e^{2}\right)} g\right)} x\right)} \sqrt{-c^{2} x^{2} + 1}}{2400 \, c^{5}}"," ",0,"1/2400*(480*a*c^5*e^3*g*x^5 + 2400*a*c^5*d^3*f*x + 600*(a*c^5*e^3*f + 3*a*c^5*d*e^2*g)*x^4 + 2400*(a*c^5*d*e^2*f + a*c^5*d^2*e*g)*x^3 + 1200*(3*a*c^5*d^2*e*f + a*c^5*d^3*g)*x^2 + 15*(32*b*c^5*e^3*g*x^5 + 160*b*c^5*d^3*f*x + 40*(b*c^5*e^3*f + 3*b*c^5*d*e^2*g)*x^4 + 160*(b*c^5*d*e^2*f + b*c^5*d^2*e*g)*x^3 + 80*(3*b*c^5*d^2*e*f + b*c^5*d^3*g)*x^2 - 15*(8*b*c^3*d^2*e + b*c*e^3)*f - 5*(8*b*c^3*d^3 + 9*b*c*d*e^2)*g)*arcsin(c*x) + (96*b*c^4*e^3*g*x^4 + 150*(b*c^4*e^3*f + 3*b*c^4*d*e^2*g)*x^3 + 32*(25*b*c^4*d*e^2*f + (25*b*c^4*d^2*e + 4*b*c^2*e^3)*g)*x^2 + 800*(3*b*c^4*d^3 + 2*b*c^2*d*e^2)*f + 64*(25*b*c^2*d^2*e + 4*b*e^3)*g + 75*(3*(8*b*c^4*d^2*e + b*c^2*e^3)*f + (8*b*c^4*d^3 + 9*b*c^2*d*e^2)*g)*x)*sqrt(-c^2*x^2 + 1))/c^5","A",0
89,1,295,0,0.624688," ","integrate((e*x+d)^2*(g*x+f)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","\frac{72 \, a c^{4} e^{2} g x^{4} + 288 \, a c^{4} d^{2} f x + 96 \, {\left(a c^{4} e^{2} f + 2 \, a c^{4} d e g\right)} x^{3} + 144 \, {\left(2 \, a c^{4} d e f + a c^{4} d^{2} g\right)} x^{2} + 3 \, {\left(24 \, b c^{4} e^{2} g x^{4} + 96 \, b c^{4} d^{2} f x - 48 \, b c^{2} d e f + 32 \, {\left(b c^{4} e^{2} f + 2 \, b c^{4} d e g\right)} x^{3} + 48 \, {\left(2 \, b c^{4} d e f + b c^{4} d^{2} g\right)} x^{2} - 3 \, {\left(8 \, b c^{2} d^{2} + 3 \, b e^{2}\right)} g\right)} \arcsin\left(c x\right) + {\left(18 \, b c^{3} e^{2} g x^{3} + 128 \, b c d e g + 32 \, {\left(b c^{3} e^{2} f + 2 \, b c^{3} d e g\right)} x^{2} + 32 \, {\left(9 \, b c^{3} d^{2} + 2 \, b c e^{2}\right)} f + 9 \, {\left(16 \, b c^{3} d e f + {\left(8 \, b c^{3} d^{2} + 3 \, b c e^{2}\right)} g\right)} x\right)} \sqrt{-c^{2} x^{2} + 1}}{288 \, c^{4}}"," ",0,"1/288*(72*a*c^4*e^2*g*x^4 + 288*a*c^4*d^2*f*x + 96*(a*c^4*e^2*f + 2*a*c^4*d*e*g)*x^3 + 144*(2*a*c^4*d*e*f + a*c^4*d^2*g)*x^2 + 3*(24*b*c^4*e^2*g*x^4 + 96*b*c^4*d^2*f*x - 48*b*c^2*d*e*f + 32*(b*c^4*e^2*f + 2*b*c^4*d*e*g)*x^3 + 48*(2*b*c^4*d*e*f + b*c^4*d^2*g)*x^2 - 3*(8*b*c^2*d^2 + 3*b*e^2)*g)*arcsin(c*x) + (18*b*c^3*e^2*g*x^3 + 128*b*c*d*e*g + 32*(b*c^3*e^2*f + 2*b*c^3*d*e*g)*x^2 + 32*(9*b*c^3*d^2 + 2*b*c*e^2)*f + 9*(16*b*c^3*d*e*f + (8*b*c^3*d^2 + 3*b*c*e^2)*g)*x)*sqrt(-c^2*x^2 + 1))/c^4","A",0
90,1,161,0,0.698498," ","integrate((e*x+d)*(g*x+f)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","\frac{12 \, a c^{3} e g x^{3} + 36 \, a c^{3} d f x + 18 \, {\left(a c^{3} e f + a c^{3} d g\right)} x^{2} + 3 \, {\left(4 \, b c^{3} e g x^{3} + 12 \, b c^{3} d f x - 3 \, b c e f - 3 \, b c d g + 6 \, {\left(b c^{3} e f + b c^{3} d g\right)} x^{2}\right)} \arcsin\left(c x\right) + {\left(4 \, b c^{2} e g x^{2} + 36 \, b c^{2} d f + 8 \, b e g + 9 \, {\left(b c^{2} e f + b c^{2} d g\right)} x\right)} \sqrt{-c^{2} x^{2} + 1}}{36 \, c^{3}}"," ",0,"1/36*(12*a*c^3*e*g*x^3 + 36*a*c^3*d*f*x + 18*(a*c^3*e*f + a*c^3*d*g)*x^2 + 3*(4*b*c^3*e*g*x^3 + 12*b*c^3*d*f*x - 3*b*c*e*f - 3*b*c*d*g + 6*(b*c^3*e*f + b*c^3*d*g)*x^2)*arcsin(c*x) + (4*b*c^2*e*g*x^2 + 36*b*c^2*d*f + 8*b*e*g + 9*(b*c^2*e*f + b*c^2*d*g)*x)*sqrt(-c^2*x^2 + 1))/c^3","A",0
91,0,0,0,0.489208," ","integrate((g*x+f)*(a+b*arcsin(c*x))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a g x + a f + {\left(b g x + b f\right)} \arcsin\left(c x\right)}{e x + d}, x\right)"," ",0,"integral((a*g*x + a*f + (b*g*x + b*f)*arcsin(c*x))/(e*x + d), x)","F",0
92,0,0,0,0.747761," ","integrate((g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a g x + a f + {\left(b g x + b f\right)} \arcsin\left(c x\right)}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((a*g*x + a*f + (b*g*x + b*f)*arcsin(c*x))/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
93,1,1184,0,13.683459," ","integrate((g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^3,x, algorithm=""fricas"")","\left[-\frac{4 \, {\left(a c^{4} d^{4} e - 2 \, a c^{2} d^{2} e^{3} + a e^{5}\right)} g x + {\left(b c^{3} d^{3} e f + {\left(b c^{3} d e^{3} f + {\left(b c^{3} d^{2} e^{2} - 2 \, b c e^{4}\right)} g\right)} x^{2} + {\left(b c^{3} d^{4} - 2 \, b c d^{2} e^{2}\right)} g + 2 \, {\left(b c^{3} d^{2} e^{2} f + {\left(b c^{3} d^{3} e - 2 \, b c d e^{3}\right)} g\right)} x\right)} \sqrt{-c^{2} d^{2} + e^{2}} \log\left(\frac{2 \, c^{2} d e x - c^{2} d^{2} + {\left(2 \, c^{4} d^{2} - c^{2} e^{2}\right)} x^{2} - 2 \, \sqrt{-c^{2} d^{2} + e^{2}} {\left(c^{2} d x + e\right)} \sqrt{-c^{2} x^{2} + 1} + 2 \, e^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}\right) + 2 \, {\left(a c^{4} d^{4} e - 2 \, a c^{2} d^{2} e^{3} + a e^{5}\right)} f + 2 \, {\left(a c^{4} d^{5} - 2 \, a c^{2} d^{3} e^{2} + a d e^{4}\right)} g + 2 \, {\left(2 \, {\left(b c^{4} d^{4} e - 2 \, b c^{2} d^{2} e^{3} + b e^{5}\right)} g x + {\left(b c^{4} d^{4} e - 2 \, b c^{2} d^{2} e^{3} + b e^{5}\right)} f + {\left(b c^{4} d^{5} - 2 \, b c^{2} d^{3} e^{2} + b d e^{4}\right)} g\right)} \arcsin\left(c x\right) - 2 \, \sqrt{-c^{2} x^{2} + 1} {\left({\left(b c^{3} d^{3} e^{2} - b c d e^{4}\right)} f - {\left(b c^{3} d^{4} e - b c d^{2} e^{3}\right)} g + {\left({\left(b c^{3} d^{2} e^{3} - b c e^{5}\right)} f - {\left(b c^{3} d^{3} e^{2} - b c d e^{4}\right)} g\right)} x\right)}}{4 \, {\left(c^{4} d^{6} e^{2} - 2 \, c^{2} d^{4} e^{4} + d^{2} e^{6} + {\left(c^{4} d^{4} e^{4} - 2 \, c^{2} d^{2} e^{6} + e^{8}\right)} x^{2} + 2 \, {\left(c^{4} d^{5} e^{3} - 2 \, c^{2} d^{3} e^{5} + d e^{7}\right)} x\right)}}, -\frac{2 \, {\left(a c^{4} d^{4} e - 2 \, a c^{2} d^{2} e^{3} + a e^{5}\right)} g x - {\left(b c^{3} d^{3} e f + {\left(b c^{3} d e^{3} f + {\left(b c^{3} d^{2} e^{2} - 2 \, b c e^{4}\right)} g\right)} x^{2} + {\left(b c^{3} d^{4} - 2 \, b c d^{2} e^{2}\right)} g + 2 \, {\left(b c^{3} d^{2} e^{2} f + {\left(b c^{3} d^{3} e - 2 \, b c d e^{3}\right)} g\right)} x\right)} \sqrt{c^{2} d^{2} - e^{2}} \arctan\left(\frac{\sqrt{c^{2} d^{2} - e^{2}} {\left(c^{2} d x + e\right)} \sqrt{-c^{2} x^{2} + 1}}{c^{2} d^{2} - {\left(c^{4} d^{2} - c^{2} e^{2}\right)} x^{2} - e^{2}}\right) + {\left(a c^{4} d^{4} e - 2 \, a c^{2} d^{2} e^{3} + a e^{5}\right)} f + {\left(a c^{4} d^{5} - 2 \, a c^{2} d^{3} e^{2} + a d e^{4}\right)} g + {\left(2 \, {\left(b c^{4} d^{4} e - 2 \, b c^{2} d^{2} e^{3} + b e^{5}\right)} g x + {\left(b c^{4} d^{4} e - 2 \, b c^{2} d^{2} e^{3} + b e^{5}\right)} f + {\left(b c^{4} d^{5} - 2 \, b c^{2} d^{3} e^{2} + b d e^{4}\right)} g\right)} \arcsin\left(c x\right) - \sqrt{-c^{2} x^{2} + 1} {\left({\left(b c^{3} d^{3} e^{2} - b c d e^{4}\right)} f - {\left(b c^{3} d^{4} e - b c d^{2} e^{3}\right)} g + {\left({\left(b c^{3} d^{2} e^{3} - b c e^{5}\right)} f - {\left(b c^{3} d^{3} e^{2} - b c d e^{4}\right)} g\right)} x\right)}}{2 \, {\left(c^{4} d^{6} e^{2} - 2 \, c^{2} d^{4} e^{4} + d^{2} e^{6} + {\left(c^{4} d^{4} e^{4} - 2 \, c^{2} d^{2} e^{6} + e^{8}\right)} x^{2} + 2 \, {\left(c^{4} d^{5} e^{3} - 2 \, c^{2} d^{3} e^{5} + d e^{7}\right)} x\right)}}\right]"," ",0,"[-1/4*(4*(a*c^4*d^4*e - 2*a*c^2*d^2*e^3 + a*e^5)*g*x + (b*c^3*d^3*e*f + (b*c^3*d*e^3*f + (b*c^3*d^2*e^2 - 2*b*c*e^4)*g)*x^2 + (b*c^3*d^4 - 2*b*c*d^2*e^2)*g + 2*(b*c^3*d^2*e^2*f + (b*c^3*d^3*e - 2*b*c*d*e^3)*g)*x)*sqrt(-c^2*d^2 + e^2)*log((2*c^2*d*e*x - c^2*d^2 + (2*c^4*d^2 - c^2*e^2)*x^2 - 2*sqrt(-c^2*d^2 + e^2)*(c^2*d*x + e)*sqrt(-c^2*x^2 + 1) + 2*e^2)/(e^2*x^2 + 2*d*e*x + d^2)) + 2*(a*c^4*d^4*e - 2*a*c^2*d^2*e^3 + a*e^5)*f + 2*(a*c^4*d^5 - 2*a*c^2*d^3*e^2 + a*d*e^4)*g + 2*(2*(b*c^4*d^4*e - 2*b*c^2*d^2*e^3 + b*e^5)*g*x + (b*c^4*d^4*e - 2*b*c^2*d^2*e^3 + b*e^5)*f + (b*c^4*d^5 - 2*b*c^2*d^3*e^2 + b*d*e^4)*g)*arcsin(c*x) - 2*sqrt(-c^2*x^2 + 1)*((b*c^3*d^3*e^2 - b*c*d*e^4)*f - (b*c^3*d^4*e - b*c*d^2*e^3)*g + ((b*c^3*d^2*e^3 - b*c*e^5)*f - (b*c^3*d^3*e^2 - b*c*d*e^4)*g)*x))/(c^4*d^6*e^2 - 2*c^2*d^4*e^4 + d^2*e^6 + (c^4*d^4*e^4 - 2*c^2*d^2*e^6 + e^8)*x^2 + 2*(c^4*d^5*e^3 - 2*c^2*d^3*e^5 + d*e^7)*x), -1/2*(2*(a*c^4*d^4*e - 2*a*c^2*d^2*e^3 + a*e^5)*g*x - (b*c^3*d^3*e*f + (b*c^3*d*e^3*f + (b*c^3*d^2*e^2 - 2*b*c*e^4)*g)*x^2 + (b*c^3*d^4 - 2*b*c*d^2*e^2)*g + 2*(b*c^3*d^2*e^2*f + (b*c^3*d^3*e - 2*b*c*d*e^3)*g)*x)*sqrt(c^2*d^2 - e^2)*arctan(sqrt(c^2*d^2 - e^2)*(c^2*d*x + e)*sqrt(-c^2*x^2 + 1)/(c^2*d^2 - (c^4*d^2 - c^2*e^2)*x^2 - e^2)) + (a*c^4*d^4*e - 2*a*c^2*d^2*e^3 + a*e^5)*f + (a*c^4*d^5 - 2*a*c^2*d^3*e^2 + a*d*e^4)*g + (2*(b*c^4*d^4*e - 2*b*c^2*d^2*e^3 + b*e^5)*g*x + (b*c^4*d^4*e - 2*b*c^2*d^2*e^3 + b*e^5)*f + (b*c^4*d^5 - 2*b*c^2*d^3*e^2 + b*d*e^4)*g)*arcsin(c*x) - sqrt(-c^2*x^2 + 1)*((b*c^3*d^3*e^2 - b*c*d*e^4)*f - (b*c^3*d^4*e - b*c*d^2*e^3)*g + ((b*c^3*d^2*e^3 - b*c*e^5)*f - (b*c^3*d^3*e^2 - b*c*d*e^4)*g)*x))/(c^4*d^6*e^2 - 2*c^2*d^4*e^4 + d^2*e^6 + (c^4*d^4*e^4 - 2*c^2*d^2*e^6 + e^8)*x^2 + 2*(c^4*d^5*e^3 - 2*c^2*d^3*e^5 + d*e^7)*x)]","B",0
94,1,1920,0,47.732262," ","integrate((g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^4,x, algorithm=""fricas"")","\left[-\frac{6 \, {\left(a c^{6} d^{6} e - 3 \, a c^{4} d^{4} e^{3} + 3 \, a c^{2} d^{2} e^{5} - a e^{7}\right)} g x - \sqrt{-c^{2} d^{2} + e^{2}} {\left({\left({\left(2 \, b c^{5} d^{2} e^{4} + b c^{3} e^{6}\right)} f + {\left(b c^{5} d^{3} e^{3} - 4 \, b c^{3} d e^{5}\right)} g\right)} x^{3} + 3 \, {\left({\left(2 \, b c^{5} d^{3} e^{3} + b c^{3} d e^{5}\right)} f + {\left(b c^{5} d^{4} e^{2} - 4 \, b c^{3} d^{2} e^{4}\right)} g\right)} x^{2} + {\left(2 \, b c^{5} d^{5} e + b c^{3} d^{3} e^{3}\right)} f + {\left(b c^{5} d^{6} - 4 \, b c^{3} d^{4} e^{2}\right)} g + 3 \, {\left({\left(2 \, b c^{5} d^{4} e^{2} + b c^{3} d^{2} e^{4}\right)} f + {\left(b c^{5} d^{5} e - 4 \, b c^{3} d^{3} e^{3}\right)} g\right)} x\right)} \log\left(\frac{2 \, c^{2} d e x - c^{2} d^{2} + {\left(2 \, c^{4} d^{2} - c^{2} e^{2}\right)} x^{2} + 2 \, \sqrt{-c^{2} d^{2} + e^{2}} {\left(c^{2} d x + e\right)} \sqrt{-c^{2} x^{2} + 1} + 2 \, e^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}\right) + 4 \, {\left(a c^{6} d^{6} e - 3 \, a c^{4} d^{4} e^{3} + 3 \, a c^{2} d^{2} e^{5} - a e^{7}\right)} f + 2 \, {\left(a c^{6} d^{7} - 3 \, a c^{4} d^{5} e^{2} + 3 \, a c^{2} d^{3} e^{4} - a d e^{6}\right)} g + 2 \, {\left(3 \, {\left(b c^{6} d^{6} e - 3 \, b c^{4} d^{4} e^{3} + 3 \, b c^{2} d^{2} e^{5} - b e^{7}\right)} g x + 2 \, {\left(b c^{6} d^{6} e - 3 \, b c^{4} d^{4} e^{3} + 3 \, b c^{2} d^{2} e^{5} - b e^{7}\right)} f + {\left(b c^{6} d^{7} - 3 \, b c^{4} d^{5} e^{2} + 3 \, b c^{2} d^{3} e^{4} - b d e^{6}\right)} g\right)} \arcsin\left(c x\right) - 2 \, \sqrt{-c^{2} x^{2} + 1} {\left(3 \, {\left({\left(b c^{5} d^{3} e^{4} - b c^{3} d e^{6}\right)} f - {\left(b c^{3} d^{2} e^{5} - b c e^{7}\right)} g\right)} x^{2} + {\left(4 \, b c^{5} d^{5} e^{2} - 5 \, b c^{3} d^{3} e^{4} + b c d e^{6}\right)} f - {\left(b c^{5} d^{6} e + b c^{3} d^{4} e^{3} - 2 \, b c d^{2} e^{5}\right)} g + {\left({\left(7 \, b c^{5} d^{4} e^{3} - 8 \, b c^{3} d^{2} e^{5} + b c e^{7}\right)} f - {\left(b c^{5} d^{5} e^{2} + 4 \, b c^{3} d^{3} e^{4} - 5 \, b c d e^{6}\right)} g\right)} x\right)}}{12 \, {\left(c^{6} d^{9} e^{2} - 3 \, c^{4} d^{7} e^{4} + 3 \, c^{2} d^{5} e^{6} - d^{3} e^{8} + {\left(c^{6} d^{6} e^{5} - 3 \, c^{4} d^{4} e^{7} + 3 \, c^{2} d^{2} e^{9} - e^{11}\right)} x^{3} + 3 \, {\left(c^{6} d^{7} e^{4} - 3 \, c^{4} d^{5} e^{6} + 3 \, c^{2} d^{3} e^{8} - d e^{10}\right)} x^{2} + 3 \, {\left(c^{6} d^{8} e^{3} - 3 \, c^{4} d^{6} e^{5} + 3 \, c^{2} d^{4} e^{7} - d^{2} e^{9}\right)} x\right)}}, -\frac{3 \, {\left(a c^{6} d^{6} e - 3 \, a c^{4} d^{4} e^{3} + 3 \, a c^{2} d^{2} e^{5} - a e^{7}\right)} g x - \sqrt{c^{2} d^{2} - e^{2}} {\left({\left({\left(2 \, b c^{5} d^{2} e^{4} + b c^{3} e^{6}\right)} f + {\left(b c^{5} d^{3} e^{3} - 4 \, b c^{3} d e^{5}\right)} g\right)} x^{3} + 3 \, {\left({\left(2 \, b c^{5} d^{3} e^{3} + b c^{3} d e^{5}\right)} f + {\left(b c^{5} d^{4} e^{2} - 4 \, b c^{3} d^{2} e^{4}\right)} g\right)} x^{2} + {\left(2 \, b c^{5} d^{5} e + b c^{3} d^{3} e^{3}\right)} f + {\left(b c^{5} d^{6} - 4 \, b c^{3} d^{4} e^{2}\right)} g + 3 \, {\left({\left(2 \, b c^{5} d^{4} e^{2} + b c^{3} d^{2} e^{4}\right)} f + {\left(b c^{5} d^{5} e - 4 \, b c^{3} d^{3} e^{3}\right)} g\right)} x\right)} \arctan\left(\frac{\sqrt{c^{2} d^{2} - e^{2}} {\left(c^{2} d x + e\right)} \sqrt{-c^{2} x^{2} + 1}}{c^{2} d^{2} - {\left(c^{4} d^{2} - c^{2} e^{2}\right)} x^{2} - e^{2}}\right) + 2 \, {\left(a c^{6} d^{6} e - 3 \, a c^{4} d^{4} e^{3} + 3 \, a c^{2} d^{2} e^{5} - a e^{7}\right)} f + {\left(a c^{6} d^{7} - 3 \, a c^{4} d^{5} e^{2} + 3 \, a c^{2} d^{3} e^{4} - a d e^{6}\right)} g + {\left(3 \, {\left(b c^{6} d^{6} e - 3 \, b c^{4} d^{4} e^{3} + 3 \, b c^{2} d^{2} e^{5} - b e^{7}\right)} g x + 2 \, {\left(b c^{6} d^{6} e - 3 \, b c^{4} d^{4} e^{3} + 3 \, b c^{2} d^{2} e^{5} - b e^{7}\right)} f + {\left(b c^{6} d^{7} - 3 \, b c^{4} d^{5} e^{2} + 3 \, b c^{2} d^{3} e^{4} - b d e^{6}\right)} g\right)} \arcsin\left(c x\right) - \sqrt{-c^{2} x^{2} + 1} {\left(3 \, {\left({\left(b c^{5} d^{3} e^{4} - b c^{3} d e^{6}\right)} f - {\left(b c^{3} d^{2} e^{5} - b c e^{7}\right)} g\right)} x^{2} + {\left(4 \, b c^{5} d^{5} e^{2} - 5 \, b c^{3} d^{3} e^{4} + b c d e^{6}\right)} f - {\left(b c^{5} d^{6} e + b c^{3} d^{4} e^{3} - 2 \, b c d^{2} e^{5}\right)} g + {\left({\left(7 \, b c^{5} d^{4} e^{3} - 8 \, b c^{3} d^{2} e^{5} + b c e^{7}\right)} f - {\left(b c^{5} d^{5} e^{2} + 4 \, b c^{3} d^{3} e^{4} - 5 \, b c d e^{6}\right)} g\right)} x\right)}}{6 \, {\left(c^{6} d^{9} e^{2} - 3 \, c^{4} d^{7} e^{4} + 3 \, c^{2} d^{5} e^{6} - d^{3} e^{8} + {\left(c^{6} d^{6} e^{5} - 3 \, c^{4} d^{4} e^{7} + 3 \, c^{2} d^{2} e^{9} - e^{11}\right)} x^{3} + 3 \, {\left(c^{6} d^{7} e^{4} - 3 \, c^{4} d^{5} e^{6} + 3 \, c^{2} d^{3} e^{8} - d e^{10}\right)} x^{2} + 3 \, {\left(c^{6} d^{8} e^{3} - 3 \, c^{4} d^{6} e^{5} + 3 \, c^{2} d^{4} e^{7} - d^{2} e^{9}\right)} x\right)}}\right]"," ",0,"[-1/12*(6*(a*c^6*d^6*e - 3*a*c^4*d^4*e^3 + 3*a*c^2*d^2*e^5 - a*e^7)*g*x - sqrt(-c^2*d^2 + e^2)*(((2*b*c^5*d^2*e^4 + b*c^3*e^6)*f + (b*c^5*d^3*e^3 - 4*b*c^3*d*e^5)*g)*x^3 + 3*((2*b*c^5*d^3*e^3 + b*c^3*d*e^5)*f + (b*c^5*d^4*e^2 - 4*b*c^3*d^2*e^4)*g)*x^2 + (2*b*c^5*d^5*e + b*c^3*d^3*e^3)*f + (b*c^5*d^6 - 4*b*c^3*d^4*e^2)*g + 3*((2*b*c^5*d^4*e^2 + b*c^3*d^2*e^4)*f + (b*c^5*d^5*e - 4*b*c^3*d^3*e^3)*g)*x)*log((2*c^2*d*e*x - c^2*d^2 + (2*c^4*d^2 - c^2*e^2)*x^2 + 2*sqrt(-c^2*d^2 + e^2)*(c^2*d*x + e)*sqrt(-c^2*x^2 + 1) + 2*e^2)/(e^2*x^2 + 2*d*e*x + d^2)) + 4*(a*c^6*d^6*e - 3*a*c^4*d^4*e^3 + 3*a*c^2*d^2*e^5 - a*e^7)*f + 2*(a*c^6*d^7 - 3*a*c^4*d^5*e^2 + 3*a*c^2*d^3*e^4 - a*d*e^6)*g + 2*(3*(b*c^6*d^6*e - 3*b*c^4*d^4*e^3 + 3*b*c^2*d^2*e^5 - b*e^7)*g*x + 2*(b*c^6*d^6*e - 3*b*c^4*d^4*e^3 + 3*b*c^2*d^2*e^5 - b*e^7)*f + (b*c^6*d^7 - 3*b*c^4*d^5*e^2 + 3*b*c^2*d^3*e^4 - b*d*e^6)*g)*arcsin(c*x) - 2*sqrt(-c^2*x^2 + 1)*(3*((b*c^5*d^3*e^4 - b*c^3*d*e^6)*f - (b*c^3*d^2*e^5 - b*c*e^7)*g)*x^2 + (4*b*c^5*d^5*e^2 - 5*b*c^3*d^3*e^4 + b*c*d*e^6)*f - (b*c^5*d^6*e + b*c^3*d^4*e^3 - 2*b*c*d^2*e^5)*g + ((7*b*c^5*d^4*e^3 - 8*b*c^3*d^2*e^5 + b*c*e^7)*f - (b*c^5*d^5*e^2 + 4*b*c^3*d^3*e^4 - 5*b*c*d*e^6)*g)*x))/(c^6*d^9*e^2 - 3*c^4*d^7*e^4 + 3*c^2*d^5*e^6 - d^3*e^8 + (c^6*d^6*e^5 - 3*c^4*d^4*e^7 + 3*c^2*d^2*e^9 - e^11)*x^3 + 3*(c^6*d^7*e^4 - 3*c^4*d^5*e^6 + 3*c^2*d^3*e^8 - d*e^10)*x^2 + 3*(c^6*d^8*e^3 - 3*c^4*d^6*e^5 + 3*c^2*d^4*e^7 - d^2*e^9)*x), -1/6*(3*(a*c^6*d^6*e - 3*a*c^4*d^4*e^3 + 3*a*c^2*d^2*e^5 - a*e^7)*g*x - sqrt(c^2*d^2 - e^2)*(((2*b*c^5*d^2*e^4 + b*c^3*e^6)*f + (b*c^5*d^3*e^3 - 4*b*c^3*d*e^5)*g)*x^3 + 3*((2*b*c^5*d^3*e^3 + b*c^3*d*e^5)*f + (b*c^5*d^4*e^2 - 4*b*c^3*d^2*e^4)*g)*x^2 + (2*b*c^5*d^5*e + b*c^3*d^3*e^3)*f + (b*c^5*d^6 - 4*b*c^3*d^4*e^2)*g + 3*((2*b*c^5*d^4*e^2 + b*c^3*d^2*e^4)*f + (b*c^5*d^5*e - 4*b*c^3*d^3*e^3)*g)*x)*arctan(sqrt(c^2*d^2 - e^2)*(c^2*d*x + e)*sqrt(-c^2*x^2 + 1)/(c^2*d^2 - (c^4*d^2 - c^2*e^2)*x^2 - e^2)) + 2*(a*c^6*d^6*e - 3*a*c^4*d^4*e^3 + 3*a*c^2*d^2*e^5 - a*e^7)*f + (a*c^6*d^7 - 3*a*c^4*d^5*e^2 + 3*a*c^2*d^3*e^4 - a*d*e^6)*g + (3*(b*c^6*d^6*e - 3*b*c^4*d^4*e^3 + 3*b*c^2*d^2*e^5 - b*e^7)*g*x + 2*(b*c^6*d^6*e - 3*b*c^4*d^4*e^3 + 3*b*c^2*d^2*e^5 - b*e^7)*f + (b*c^6*d^7 - 3*b*c^4*d^5*e^2 + 3*b*c^2*d^3*e^4 - b*d*e^6)*g)*arcsin(c*x) - sqrt(-c^2*x^2 + 1)*(3*((b*c^5*d^3*e^4 - b*c^3*d*e^6)*f - (b*c^3*d^2*e^5 - b*c*e^7)*g)*x^2 + (4*b*c^5*d^5*e^2 - 5*b*c^3*d^3*e^4 + b*c*d*e^6)*f - (b*c^5*d^6*e + b*c^3*d^4*e^3 - 2*b*c*d^2*e^5)*g + ((7*b*c^5*d^4*e^3 - 8*b*c^3*d^2*e^5 + b*c*e^7)*f - (b*c^5*d^5*e^2 + 4*b*c^3*d^3*e^4 - 5*b*c*d*e^6)*g)*x))/(c^6*d^9*e^2 - 3*c^4*d^7*e^4 + 3*c^2*d^5*e^6 - d^3*e^8 + (c^6*d^6*e^5 - 3*c^4*d^4*e^7 + 3*c^2*d^2*e^9 - e^11)*x^3 + 3*(c^6*d^7*e^4 - 3*c^4*d^5*e^6 + 3*c^2*d^3*e^8 - d*e^10)*x^2 + 3*(c^6*d^8*e^3 - 3*c^4*d^6*e^5 + 3*c^2*d^4*e^7 - d^2*e^9)*x)]","B",0
95,1,2839,0,165.688536," ","integrate((g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^5,x, algorithm=""fricas"")","\left[-\frac{16 \, {\left(a c^{8} d^{8} e - 4 \, a c^{6} d^{6} e^{3} + 6 \, a c^{4} d^{4} e^{5} - 4 \, a c^{2} d^{2} e^{7} + a e^{9}\right)} g x + {\left({\left(3 \, {\left(2 \, b c^{7} d^{3} e^{5} + 3 \, b c^{5} d e^{7}\right)} f + {\left(2 \, b c^{7} d^{4} e^{4} - 13 \, b c^{5} d^{2} e^{6} - 4 \, b c^{3} e^{8}\right)} g\right)} x^{4} + 4 \, {\left(3 \, {\left(2 \, b c^{7} d^{4} e^{4} + 3 \, b c^{5} d^{2} e^{6}\right)} f + {\left(2 \, b c^{7} d^{5} e^{3} - 13 \, b c^{5} d^{3} e^{5} - 4 \, b c^{3} d e^{7}\right)} g\right)} x^{3} + 6 \, {\left(3 \, {\left(2 \, b c^{7} d^{5} e^{3} + 3 \, b c^{5} d^{3} e^{5}\right)} f + {\left(2 \, b c^{7} d^{6} e^{2} - 13 \, b c^{5} d^{4} e^{4} - 4 \, b c^{3} d^{2} e^{6}\right)} g\right)} x^{2} + 3 \, {\left(2 \, b c^{7} d^{7} e + 3 \, b c^{5} d^{5} e^{3}\right)} f + {\left(2 \, b c^{7} d^{8} - 13 \, b c^{5} d^{6} e^{2} - 4 \, b c^{3} d^{4} e^{4}\right)} g + 4 \, {\left(3 \, {\left(2 \, b c^{7} d^{6} e^{2} + 3 \, b c^{5} d^{4} e^{4}\right)} f + {\left(2 \, b c^{7} d^{7} e - 13 \, b c^{5} d^{5} e^{3} - 4 \, b c^{3} d^{3} e^{5}\right)} g\right)} x\right)} \sqrt{-c^{2} d^{2} + e^{2}} \log\left(\frac{2 \, c^{2} d e x - c^{2} d^{2} + {\left(2 \, c^{4} d^{2} - c^{2} e^{2}\right)} x^{2} - 2 \, \sqrt{-c^{2} d^{2} + e^{2}} {\left(c^{2} d x + e\right)} \sqrt{-c^{2} x^{2} + 1} + 2 \, e^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}\right) + 12 \, {\left(a c^{8} d^{8} e - 4 \, a c^{6} d^{6} e^{3} + 6 \, a c^{4} d^{4} e^{5} - 4 \, a c^{2} d^{2} e^{7} + a e^{9}\right)} f + 4 \, {\left(a c^{8} d^{9} - 4 \, a c^{6} d^{7} e^{2} + 6 \, a c^{4} d^{5} e^{4} - 4 \, a c^{2} d^{3} e^{6} + a d e^{8}\right)} g + 4 \, {\left(4 \, {\left(b c^{8} d^{8} e - 4 \, b c^{6} d^{6} e^{3} + 6 \, b c^{4} d^{4} e^{5} - 4 \, b c^{2} d^{2} e^{7} + b e^{9}\right)} g x + 3 \, {\left(b c^{8} d^{8} e - 4 \, b c^{6} d^{6} e^{3} + 6 \, b c^{4} d^{4} e^{5} - 4 \, b c^{2} d^{2} e^{7} + b e^{9}\right)} f + {\left(b c^{8} d^{9} - 4 \, b c^{6} d^{7} e^{2} + 6 \, b c^{4} d^{5} e^{4} - 4 \, b c^{2} d^{3} e^{6} + b d e^{8}\right)} g\right)} \arcsin\left(c x\right) - 2 \, \sqrt{-c^{2} x^{2} + 1} {\left({\left({\left(11 \, b c^{7} d^{4} e^{5} - 7 \, b c^{5} d^{2} e^{7} - 4 \, b c^{3} e^{9}\right)} f + {\left(b c^{7} d^{5} e^{4} - 17 \, b c^{5} d^{3} e^{6} + 16 \, b c^{3} d e^{8}\right)} g\right)} x^{3} + {\left({\left(38 \, b c^{7} d^{5} e^{4} - 31 \, b c^{5} d^{3} e^{6} - 7 \, b c^{3} d e^{8}\right)} f + {\left(2 \, b c^{7} d^{6} e^{3} - 53 \, b c^{5} d^{4} e^{5} + 55 \, b c^{3} d^{2} e^{7} - 4 \, b c e^{9}\right)} g\right)} x^{2} + {\left(18 \, b c^{7} d^{7} e^{2} - 23 \, b c^{5} d^{5} e^{4} + 7 \, b c^{3} d^{3} e^{6} - 2 \, b c d e^{8}\right)} f - {\left(2 \, b c^{7} d^{8} e + 13 \, b c^{5} d^{6} e^{3} - 17 \, b c^{3} d^{4} e^{5} + 2 \, b c d^{2} e^{7}\right)} g + {\left({\left(45 \, b c^{7} d^{6} e^{3} - 47 \, b c^{5} d^{4} e^{5} + 4 \, b c^{3} d^{2} e^{7} - 2 \, b c e^{9}\right)} f - {\left(b c^{7} d^{7} e^{2} + 49 \, b c^{5} d^{5} e^{4} - 56 \, b c^{3} d^{3} e^{6} + 6 \, b c d e^{8}\right)} g\right)} x\right)}}{48 \, {\left(c^{8} d^{12} e^{2} - 4 \, c^{6} d^{10} e^{4} + 6 \, c^{4} d^{8} e^{6} - 4 \, c^{2} d^{6} e^{8} + d^{4} e^{10} + {\left(c^{8} d^{8} e^{6} - 4 \, c^{6} d^{6} e^{8} + 6 \, c^{4} d^{4} e^{10} - 4 \, c^{2} d^{2} e^{12} + e^{14}\right)} x^{4} + 4 \, {\left(c^{8} d^{9} e^{5} - 4 \, c^{6} d^{7} e^{7} + 6 \, c^{4} d^{5} e^{9} - 4 \, c^{2} d^{3} e^{11} + d e^{13}\right)} x^{3} + 6 \, {\left(c^{8} d^{10} e^{4} - 4 \, c^{6} d^{8} e^{6} + 6 \, c^{4} d^{6} e^{8} - 4 \, c^{2} d^{4} e^{10} + d^{2} e^{12}\right)} x^{2} + 4 \, {\left(c^{8} d^{11} e^{3} - 4 \, c^{6} d^{9} e^{5} + 6 \, c^{4} d^{7} e^{7} - 4 \, c^{2} d^{5} e^{9} + d^{3} e^{11}\right)} x\right)}}, -\frac{8 \, {\left(a c^{8} d^{8} e - 4 \, a c^{6} d^{6} e^{3} + 6 \, a c^{4} d^{4} e^{5} - 4 \, a c^{2} d^{2} e^{7} + a e^{9}\right)} g x - {\left({\left(3 \, {\left(2 \, b c^{7} d^{3} e^{5} + 3 \, b c^{5} d e^{7}\right)} f + {\left(2 \, b c^{7} d^{4} e^{4} - 13 \, b c^{5} d^{2} e^{6} - 4 \, b c^{3} e^{8}\right)} g\right)} x^{4} + 4 \, {\left(3 \, {\left(2 \, b c^{7} d^{4} e^{4} + 3 \, b c^{5} d^{2} e^{6}\right)} f + {\left(2 \, b c^{7} d^{5} e^{3} - 13 \, b c^{5} d^{3} e^{5} - 4 \, b c^{3} d e^{7}\right)} g\right)} x^{3} + 6 \, {\left(3 \, {\left(2 \, b c^{7} d^{5} e^{3} + 3 \, b c^{5} d^{3} e^{5}\right)} f + {\left(2 \, b c^{7} d^{6} e^{2} - 13 \, b c^{5} d^{4} e^{4} - 4 \, b c^{3} d^{2} e^{6}\right)} g\right)} x^{2} + 3 \, {\left(2 \, b c^{7} d^{7} e + 3 \, b c^{5} d^{5} e^{3}\right)} f + {\left(2 \, b c^{7} d^{8} - 13 \, b c^{5} d^{6} e^{2} - 4 \, b c^{3} d^{4} e^{4}\right)} g + 4 \, {\left(3 \, {\left(2 \, b c^{7} d^{6} e^{2} + 3 \, b c^{5} d^{4} e^{4}\right)} f + {\left(2 \, b c^{7} d^{7} e - 13 \, b c^{5} d^{5} e^{3} - 4 \, b c^{3} d^{3} e^{5}\right)} g\right)} x\right)} \sqrt{c^{2} d^{2} - e^{2}} \arctan\left(\frac{\sqrt{c^{2} d^{2} - e^{2}} {\left(c^{2} d x + e\right)} \sqrt{-c^{2} x^{2} + 1}}{c^{2} d^{2} - {\left(c^{4} d^{2} - c^{2} e^{2}\right)} x^{2} - e^{2}}\right) + 6 \, {\left(a c^{8} d^{8} e - 4 \, a c^{6} d^{6} e^{3} + 6 \, a c^{4} d^{4} e^{5} - 4 \, a c^{2} d^{2} e^{7} + a e^{9}\right)} f + 2 \, {\left(a c^{8} d^{9} - 4 \, a c^{6} d^{7} e^{2} + 6 \, a c^{4} d^{5} e^{4} - 4 \, a c^{2} d^{3} e^{6} + a d e^{8}\right)} g + 2 \, {\left(4 \, {\left(b c^{8} d^{8} e - 4 \, b c^{6} d^{6} e^{3} + 6 \, b c^{4} d^{4} e^{5} - 4 \, b c^{2} d^{2} e^{7} + b e^{9}\right)} g x + 3 \, {\left(b c^{8} d^{8} e - 4 \, b c^{6} d^{6} e^{3} + 6 \, b c^{4} d^{4} e^{5} - 4 \, b c^{2} d^{2} e^{7} + b e^{9}\right)} f + {\left(b c^{8} d^{9} - 4 \, b c^{6} d^{7} e^{2} + 6 \, b c^{4} d^{5} e^{4} - 4 \, b c^{2} d^{3} e^{6} + b d e^{8}\right)} g\right)} \arcsin\left(c x\right) - \sqrt{-c^{2} x^{2} + 1} {\left({\left({\left(11 \, b c^{7} d^{4} e^{5} - 7 \, b c^{5} d^{2} e^{7} - 4 \, b c^{3} e^{9}\right)} f + {\left(b c^{7} d^{5} e^{4} - 17 \, b c^{5} d^{3} e^{6} + 16 \, b c^{3} d e^{8}\right)} g\right)} x^{3} + {\left({\left(38 \, b c^{7} d^{5} e^{4} - 31 \, b c^{5} d^{3} e^{6} - 7 \, b c^{3} d e^{8}\right)} f + {\left(2 \, b c^{7} d^{6} e^{3} - 53 \, b c^{5} d^{4} e^{5} + 55 \, b c^{3} d^{2} e^{7} - 4 \, b c e^{9}\right)} g\right)} x^{2} + {\left(18 \, b c^{7} d^{7} e^{2} - 23 \, b c^{5} d^{5} e^{4} + 7 \, b c^{3} d^{3} e^{6} - 2 \, b c d e^{8}\right)} f - {\left(2 \, b c^{7} d^{8} e + 13 \, b c^{5} d^{6} e^{3} - 17 \, b c^{3} d^{4} e^{5} + 2 \, b c d^{2} e^{7}\right)} g + {\left({\left(45 \, b c^{7} d^{6} e^{3} - 47 \, b c^{5} d^{4} e^{5} + 4 \, b c^{3} d^{2} e^{7} - 2 \, b c e^{9}\right)} f - {\left(b c^{7} d^{7} e^{2} + 49 \, b c^{5} d^{5} e^{4} - 56 \, b c^{3} d^{3} e^{6} + 6 \, b c d e^{8}\right)} g\right)} x\right)}}{24 \, {\left(c^{8} d^{12} e^{2} - 4 \, c^{6} d^{10} e^{4} + 6 \, c^{4} d^{8} e^{6} - 4 \, c^{2} d^{6} e^{8} + d^{4} e^{10} + {\left(c^{8} d^{8} e^{6} - 4 \, c^{6} d^{6} e^{8} + 6 \, c^{4} d^{4} e^{10} - 4 \, c^{2} d^{2} e^{12} + e^{14}\right)} x^{4} + 4 \, {\left(c^{8} d^{9} e^{5} - 4 \, c^{6} d^{7} e^{7} + 6 \, c^{4} d^{5} e^{9} - 4 \, c^{2} d^{3} e^{11} + d e^{13}\right)} x^{3} + 6 \, {\left(c^{8} d^{10} e^{4} - 4 \, c^{6} d^{8} e^{6} + 6 \, c^{4} d^{6} e^{8} - 4 \, c^{2} d^{4} e^{10} + d^{2} e^{12}\right)} x^{2} + 4 \, {\left(c^{8} d^{11} e^{3} - 4 \, c^{6} d^{9} e^{5} + 6 \, c^{4} d^{7} e^{7} - 4 \, c^{2} d^{5} e^{9} + d^{3} e^{11}\right)} x\right)}}\right]"," ",0,"[-1/48*(16*(a*c^8*d^8*e - 4*a*c^6*d^6*e^3 + 6*a*c^4*d^4*e^5 - 4*a*c^2*d^2*e^7 + a*e^9)*g*x + ((3*(2*b*c^7*d^3*e^5 + 3*b*c^5*d*e^7)*f + (2*b*c^7*d^4*e^4 - 13*b*c^5*d^2*e^6 - 4*b*c^3*e^8)*g)*x^4 + 4*(3*(2*b*c^7*d^4*e^4 + 3*b*c^5*d^2*e^6)*f + (2*b*c^7*d^5*e^3 - 13*b*c^5*d^3*e^5 - 4*b*c^3*d*e^7)*g)*x^3 + 6*(3*(2*b*c^7*d^5*e^3 + 3*b*c^5*d^3*e^5)*f + (2*b*c^7*d^6*e^2 - 13*b*c^5*d^4*e^4 - 4*b*c^3*d^2*e^6)*g)*x^2 + 3*(2*b*c^7*d^7*e + 3*b*c^5*d^5*e^3)*f + (2*b*c^7*d^8 - 13*b*c^5*d^6*e^2 - 4*b*c^3*d^4*e^4)*g + 4*(3*(2*b*c^7*d^6*e^2 + 3*b*c^5*d^4*e^4)*f + (2*b*c^7*d^7*e - 13*b*c^5*d^5*e^3 - 4*b*c^3*d^3*e^5)*g)*x)*sqrt(-c^2*d^2 + e^2)*log((2*c^2*d*e*x - c^2*d^2 + (2*c^4*d^2 - c^2*e^2)*x^2 - 2*sqrt(-c^2*d^2 + e^2)*(c^2*d*x + e)*sqrt(-c^2*x^2 + 1) + 2*e^2)/(e^2*x^2 + 2*d*e*x + d^2)) + 12*(a*c^8*d^8*e - 4*a*c^6*d^6*e^3 + 6*a*c^4*d^4*e^5 - 4*a*c^2*d^2*e^7 + a*e^9)*f + 4*(a*c^8*d^9 - 4*a*c^6*d^7*e^2 + 6*a*c^4*d^5*e^4 - 4*a*c^2*d^3*e^6 + a*d*e^8)*g + 4*(4*(b*c^8*d^8*e - 4*b*c^6*d^6*e^3 + 6*b*c^4*d^4*e^5 - 4*b*c^2*d^2*e^7 + b*e^9)*g*x + 3*(b*c^8*d^8*e - 4*b*c^6*d^6*e^3 + 6*b*c^4*d^4*e^5 - 4*b*c^2*d^2*e^7 + b*e^9)*f + (b*c^8*d^9 - 4*b*c^6*d^7*e^2 + 6*b*c^4*d^5*e^4 - 4*b*c^2*d^3*e^6 + b*d*e^8)*g)*arcsin(c*x) - 2*sqrt(-c^2*x^2 + 1)*(((11*b*c^7*d^4*e^5 - 7*b*c^5*d^2*e^7 - 4*b*c^3*e^9)*f + (b*c^7*d^5*e^4 - 17*b*c^5*d^3*e^6 + 16*b*c^3*d*e^8)*g)*x^3 + ((38*b*c^7*d^5*e^4 - 31*b*c^5*d^3*e^6 - 7*b*c^3*d*e^8)*f + (2*b*c^7*d^6*e^3 - 53*b*c^5*d^4*e^5 + 55*b*c^3*d^2*e^7 - 4*b*c*e^9)*g)*x^2 + (18*b*c^7*d^7*e^2 - 23*b*c^5*d^5*e^4 + 7*b*c^3*d^3*e^6 - 2*b*c*d*e^8)*f - (2*b*c^7*d^8*e + 13*b*c^5*d^6*e^3 - 17*b*c^3*d^4*e^5 + 2*b*c*d^2*e^7)*g + ((45*b*c^7*d^6*e^3 - 47*b*c^5*d^4*e^5 + 4*b*c^3*d^2*e^7 - 2*b*c*e^9)*f - (b*c^7*d^7*e^2 + 49*b*c^5*d^5*e^4 - 56*b*c^3*d^3*e^6 + 6*b*c*d*e^8)*g)*x))/(c^8*d^12*e^2 - 4*c^6*d^10*e^4 + 6*c^4*d^8*e^6 - 4*c^2*d^6*e^8 + d^4*e^10 + (c^8*d^8*e^6 - 4*c^6*d^6*e^8 + 6*c^4*d^4*e^10 - 4*c^2*d^2*e^12 + e^14)*x^4 + 4*(c^8*d^9*e^5 - 4*c^6*d^7*e^7 + 6*c^4*d^5*e^9 - 4*c^2*d^3*e^11 + d*e^13)*x^3 + 6*(c^8*d^10*e^4 - 4*c^6*d^8*e^6 + 6*c^4*d^6*e^8 - 4*c^2*d^4*e^10 + d^2*e^12)*x^2 + 4*(c^8*d^11*e^3 - 4*c^6*d^9*e^5 + 6*c^4*d^7*e^7 - 4*c^2*d^5*e^9 + d^3*e^11)*x), -1/24*(8*(a*c^8*d^8*e - 4*a*c^6*d^6*e^3 + 6*a*c^4*d^4*e^5 - 4*a*c^2*d^2*e^7 + a*e^9)*g*x - ((3*(2*b*c^7*d^3*e^5 + 3*b*c^5*d*e^7)*f + (2*b*c^7*d^4*e^4 - 13*b*c^5*d^2*e^6 - 4*b*c^3*e^8)*g)*x^4 + 4*(3*(2*b*c^7*d^4*e^4 + 3*b*c^5*d^2*e^6)*f + (2*b*c^7*d^5*e^3 - 13*b*c^5*d^3*e^5 - 4*b*c^3*d*e^7)*g)*x^3 + 6*(3*(2*b*c^7*d^5*e^3 + 3*b*c^5*d^3*e^5)*f + (2*b*c^7*d^6*e^2 - 13*b*c^5*d^4*e^4 - 4*b*c^3*d^2*e^6)*g)*x^2 + 3*(2*b*c^7*d^7*e + 3*b*c^5*d^5*e^3)*f + (2*b*c^7*d^8 - 13*b*c^5*d^6*e^2 - 4*b*c^3*d^4*e^4)*g + 4*(3*(2*b*c^7*d^6*e^2 + 3*b*c^5*d^4*e^4)*f + (2*b*c^7*d^7*e - 13*b*c^5*d^5*e^3 - 4*b*c^3*d^3*e^5)*g)*x)*sqrt(c^2*d^2 - e^2)*arctan(sqrt(c^2*d^2 - e^2)*(c^2*d*x + e)*sqrt(-c^2*x^2 + 1)/(c^2*d^2 - (c^4*d^2 - c^2*e^2)*x^2 - e^2)) + 6*(a*c^8*d^8*e - 4*a*c^6*d^6*e^3 + 6*a*c^4*d^4*e^5 - 4*a*c^2*d^2*e^7 + a*e^9)*f + 2*(a*c^8*d^9 - 4*a*c^6*d^7*e^2 + 6*a*c^4*d^5*e^4 - 4*a*c^2*d^3*e^6 + a*d*e^8)*g + 2*(4*(b*c^8*d^8*e - 4*b*c^6*d^6*e^3 + 6*b*c^4*d^4*e^5 - 4*b*c^2*d^2*e^7 + b*e^9)*g*x + 3*(b*c^8*d^8*e - 4*b*c^6*d^6*e^3 + 6*b*c^4*d^4*e^5 - 4*b*c^2*d^2*e^7 + b*e^9)*f + (b*c^8*d^9 - 4*b*c^6*d^7*e^2 + 6*b*c^4*d^5*e^4 - 4*b*c^2*d^3*e^6 + b*d*e^8)*g)*arcsin(c*x) - sqrt(-c^2*x^2 + 1)*(((11*b*c^7*d^4*e^5 - 7*b*c^5*d^2*e^7 - 4*b*c^3*e^9)*f + (b*c^7*d^5*e^4 - 17*b*c^5*d^3*e^6 + 16*b*c^3*d*e^8)*g)*x^3 + ((38*b*c^7*d^5*e^4 - 31*b*c^5*d^3*e^6 - 7*b*c^3*d*e^8)*f + (2*b*c^7*d^6*e^3 - 53*b*c^5*d^4*e^5 + 55*b*c^3*d^2*e^7 - 4*b*c*e^9)*g)*x^2 + (18*b*c^7*d^7*e^2 - 23*b*c^5*d^5*e^4 + 7*b*c^3*d^3*e^6 - 2*b*c*d*e^8)*f - (2*b*c^7*d^8*e + 13*b*c^5*d^6*e^3 - 17*b*c^3*d^4*e^5 + 2*b*c*d^2*e^7)*g + ((45*b*c^7*d^6*e^3 - 47*b*c^5*d^4*e^5 + 4*b*c^3*d^2*e^7 - 2*b*c*e^9)*f - (b*c^7*d^7*e^2 + 49*b*c^5*d^5*e^4 - 56*b*c^3*d^3*e^6 + 6*b*c*d*e^8)*g)*x))/(c^8*d^12*e^2 - 4*c^6*d^10*e^4 + 6*c^4*d^8*e^6 - 4*c^2*d^6*e^8 + d^4*e^10 + (c^8*d^8*e^6 - 4*c^6*d^6*e^8 + 6*c^4*d^4*e^10 - 4*c^2*d^2*e^12 + e^14)*x^4 + 4*(c^8*d^9*e^5 - 4*c^6*d^7*e^7 + 6*c^4*d^5*e^9 - 4*c^2*d^3*e^11 + d*e^13)*x^3 + 6*(c^8*d^10*e^4 - 4*c^6*d^8*e^6 + 6*c^4*d^6*e^8 - 4*c^2*d^4*e^10 + d^2*e^12)*x^2 + 4*(c^8*d^11*e^3 - 4*c^6*d^9*e^5 + 6*c^4*d^7*e^7 - 4*c^2*d^5*e^9 + d^3*e^11)*x)]","B",0
96,-1,0,0,0.000000," ","integrate((g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^6,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
97,1,676,0,0.743748," ","integrate((e*x+d)^3*(h*x^2+g*x+f)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","\frac{1200 \, a c^{6} e^{3} h x^{6} + 7200 \, a c^{6} d^{3} f x + 1440 \, {\left(a c^{6} e^{3} g + 3 \, a c^{6} d e^{2} h\right)} x^{5} + 1800 \, {\left(a c^{6} e^{3} f + 3 \, a c^{6} d e^{2} g + 3 \, a c^{6} d^{2} e h\right)} x^{4} + 2400 \, {\left(3 \, a c^{6} d e^{2} f + 3 \, a c^{6} d^{2} e g + a c^{6} d^{3} h\right)} x^{3} + 3600 \, {\left(3 \, a c^{6} d^{2} e f + a c^{6} d^{3} g\right)} x^{2} + 15 \, {\left(80 \, b c^{6} e^{3} h x^{6} + 480 \, b c^{6} d^{3} f x + 96 \, {\left(b c^{6} e^{3} g + 3 \, b c^{6} d e^{2} h\right)} x^{5} + 120 \, {\left(b c^{6} e^{3} f + 3 \, b c^{6} d e^{2} g + 3 \, b c^{6} d^{2} e h\right)} x^{4} + 160 \, {\left(3 \, b c^{6} d e^{2} f + 3 \, b c^{6} d^{2} e g + b c^{6} d^{3} h\right)} x^{3} + 240 \, {\left(3 \, b c^{6} d^{2} e f + b c^{6} d^{3} g\right)} x^{2} - 45 \, {\left(8 \, b c^{4} d^{2} e + b c^{2} e^{3}\right)} f - 15 \, {\left(8 \, b c^{4} d^{3} + 9 \, b c^{2} d e^{2}\right)} g - 5 \, {\left(27 \, b c^{2} d^{2} e + 5 \, b e^{3}\right)} h\right)} \arcsin\left(c x\right) + {\left(200 \, b c^{5} e^{3} h x^{5} + 288 \, {\left(b c^{5} e^{3} g + 3 \, b c^{5} d e^{2} h\right)} x^{4} + 50 \, {\left(9 \, b c^{5} e^{3} f + 27 \, b c^{5} d e^{2} g + {\left(27 \, b c^{5} d^{2} e + 5 \, b c^{3} e^{3}\right)} h\right)} x^{3} + 32 \, {\left(75 \, b c^{5} d e^{2} f + 3 \, {\left(25 \, b c^{5} d^{2} e + 4 \, b c^{3} e^{3}\right)} g + {\left(25 \, b c^{5} d^{3} + 36 \, b c^{3} d e^{2}\right)} h\right)} x^{2} + 2400 \, {\left(3 \, b c^{5} d^{3} + 2 \, b c^{3} d e^{2}\right)} f + 192 \, {\left(25 \, b c^{3} d^{2} e + 4 \, b c e^{3}\right)} g + 64 \, {\left(25 \, b c^{3} d^{3} + 36 \, b c d e^{2}\right)} h + 75 \, {\left(9 \, {\left(8 \, b c^{5} d^{2} e + b c^{3} e^{3}\right)} f + 3 \, {\left(8 \, b c^{5} d^{3} + 9 \, b c^{3} d e^{2}\right)} g + {\left(27 \, b c^{3} d^{2} e + 5 \, b c e^{3}\right)} h\right)} x\right)} \sqrt{-c^{2} x^{2} + 1}}{7200 \, c^{6}}"," ",0,"1/7200*(1200*a*c^6*e^3*h*x^6 + 7200*a*c^6*d^3*f*x + 1440*(a*c^6*e^3*g + 3*a*c^6*d*e^2*h)*x^5 + 1800*(a*c^6*e^3*f + 3*a*c^6*d*e^2*g + 3*a*c^6*d^2*e*h)*x^4 + 2400*(3*a*c^6*d*e^2*f + 3*a*c^6*d^2*e*g + a*c^6*d^3*h)*x^3 + 3600*(3*a*c^6*d^2*e*f + a*c^6*d^3*g)*x^2 + 15*(80*b*c^6*e^3*h*x^6 + 480*b*c^6*d^3*f*x + 96*(b*c^6*e^3*g + 3*b*c^6*d*e^2*h)*x^5 + 120*(b*c^6*e^3*f + 3*b*c^6*d*e^2*g + 3*b*c^6*d^2*e*h)*x^4 + 160*(3*b*c^6*d*e^2*f + 3*b*c^6*d^2*e*g + b*c^6*d^3*h)*x^3 + 240*(3*b*c^6*d^2*e*f + b*c^6*d^3*g)*x^2 - 45*(8*b*c^4*d^2*e + b*c^2*e^3)*f - 15*(8*b*c^4*d^3 + 9*b*c^2*d*e^2)*g - 5*(27*b*c^2*d^2*e + 5*b*e^3)*h)*arcsin(c*x) + (200*b*c^5*e^3*h*x^5 + 288*(b*c^5*e^3*g + 3*b*c^5*d*e^2*h)*x^4 + 50*(9*b*c^5*e^3*f + 27*b*c^5*d*e^2*g + (27*b*c^5*d^2*e + 5*b*c^3*e^3)*h)*x^3 + 32*(75*b*c^5*d*e^2*f + 3*(25*b*c^5*d^2*e + 4*b*c^3*e^3)*g + (25*b*c^5*d^3 + 36*b*c^3*d*e^2)*h)*x^2 + 2400*(3*b*c^5*d^3 + 2*b*c^3*d*e^2)*f + 192*(25*b*c^3*d^2*e + 4*b*c*e^3)*g + 64*(25*b*c^3*d^3 + 36*b*c*d*e^2)*h + 75*(9*(8*b*c^5*d^2*e + b*c^3*e^3)*f + 3*(8*b*c^5*d^3 + 9*b*c^3*d*e^2)*g + (27*b*c^3*d^2*e + 5*b*c*e^3)*h)*x)*sqrt(-c^2*x^2 + 1))/c^6","A",0
98,1,449,0,0.716782," ","integrate((e*x+d)^2*(h*x^2+g*x+f)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","\frac{1440 \, a c^{5} e^{2} h x^{5} + 7200 \, a c^{5} d^{2} f x + 1800 \, {\left(a c^{5} e^{2} g + 2 \, a c^{5} d e h\right)} x^{4} + 2400 \, {\left(a c^{5} e^{2} f + 2 \, a c^{5} d e g + a c^{5} d^{2} h\right)} x^{3} + 3600 \, {\left(2 \, a c^{5} d e f + a c^{5} d^{2} g\right)} x^{2} + 15 \, {\left(96 \, b c^{5} e^{2} h x^{5} + 480 \, b c^{5} d^{2} f x - 240 \, b c^{3} d e f - 90 \, b c d e h + 120 \, {\left(b c^{5} e^{2} g + 2 \, b c^{5} d e h\right)} x^{4} + 160 \, {\left(b c^{5} e^{2} f + 2 \, b c^{5} d e g + b c^{5} d^{2} h\right)} x^{3} + 240 \, {\left(2 \, b c^{5} d e f + b c^{5} d^{2} g\right)} x^{2} - 15 \, {\left(8 \, b c^{3} d^{2} + 3 \, b c e^{2}\right)} g\right)} \arcsin\left(c x\right) + {\left(288 \, b c^{4} e^{2} h x^{4} + 3200 \, b c^{2} d e g + 450 \, {\left(b c^{4} e^{2} g + 2 \, b c^{4} d e h\right)} x^{3} + 32 \, {\left(25 \, b c^{4} e^{2} f + 50 \, b c^{4} d e g + {\left(25 \, b c^{4} d^{2} + 12 \, b c^{2} e^{2}\right)} h\right)} x^{2} + 800 \, {\left(9 \, b c^{4} d^{2} + 2 \, b c^{2} e^{2}\right)} f + 64 \, {\left(25 \, b c^{2} d^{2} + 12 \, b e^{2}\right)} h + 225 \, {\left(16 \, b c^{4} d e f + 6 \, b c^{2} d e h + {\left(8 \, b c^{4} d^{2} + 3 \, b c^{2} e^{2}\right)} g\right)} x\right)} \sqrt{-c^{2} x^{2} + 1}}{7200 \, c^{5}}"," ",0,"1/7200*(1440*a*c^5*e^2*h*x^5 + 7200*a*c^5*d^2*f*x + 1800*(a*c^5*e^2*g + 2*a*c^5*d*e*h)*x^4 + 2400*(a*c^5*e^2*f + 2*a*c^5*d*e*g + a*c^5*d^2*h)*x^3 + 3600*(2*a*c^5*d*e*f + a*c^5*d^2*g)*x^2 + 15*(96*b*c^5*e^2*h*x^5 + 480*b*c^5*d^2*f*x - 240*b*c^3*d*e*f - 90*b*c*d*e*h + 120*(b*c^5*e^2*g + 2*b*c^5*d*e*h)*x^4 + 160*(b*c^5*e^2*f + 2*b*c^5*d*e*g + b*c^5*d^2*h)*x^3 + 240*(2*b*c^5*d*e*f + b*c^5*d^2*g)*x^2 - 15*(8*b*c^3*d^2 + 3*b*c*e^2)*g)*arcsin(c*x) + (288*b*c^4*e^2*h*x^4 + 3200*b*c^2*d*e*g + 450*(b*c^4*e^2*g + 2*b*c^4*d*e*h)*x^3 + 32*(25*b*c^4*e^2*f + 50*b*c^4*d*e*g + (25*b*c^4*d^2 + 12*b*c^2*e^2)*h)*x^2 + 800*(9*b*c^4*d^2 + 2*b*c^2*e^2)*f + 64*(25*b*c^2*d^2 + 12*b*e^2)*h + 225*(16*b*c^4*d*e*f + 6*b*c^2*d*e*h + (8*b*c^4*d^2 + 3*b*c^2*e^2)*g)*x)*sqrt(-c^2*x^2 + 1))/c^5","A",0
99,1,245,0,0.814303," ","integrate((e*x+d)*(h*x^2+g*x+f)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","\frac{72 \, a c^{4} e h x^{4} + 288 \, a c^{4} d f x + 96 \, {\left(a c^{4} e g + a c^{4} d h\right)} x^{3} + 144 \, {\left(a c^{4} e f + a c^{4} d g\right)} x^{2} + 3 \, {\left(24 \, b c^{4} e h x^{4} + 96 \, b c^{4} d f x - 24 \, b c^{2} e f - 24 \, b c^{2} d g + 32 \, {\left(b c^{4} e g + b c^{4} d h\right)} x^{3} - 9 \, b e h + 48 \, {\left(b c^{4} e f + b c^{4} d g\right)} x^{2}\right)} \arcsin\left(c x\right) + {\left(18 \, b c^{3} e h x^{3} + 288 \, b c^{3} d f + 64 \, b c e g + 64 \, b c d h + 32 \, {\left(b c^{3} e g + b c^{3} d h\right)} x^{2} + 9 \, {\left(8 \, b c^{3} e f + 8 \, b c^{3} d g + 3 \, b c e h\right)} x\right)} \sqrt{-c^{2} x^{2} + 1}}{288 \, c^{4}}"," ",0,"1/288*(72*a*c^4*e*h*x^4 + 288*a*c^4*d*f*x + 96*(a*c^4*e*g + a*c^4*d*h)*x^3 + 144*(a*c^4*e*f + a*c^4*d*g)*x^2 + 3*(24*b*c^4*e*h*x^4 + 96*b*c^4*d*f*x - 24*b*c^2*e*f - 24*b*c^2*d*g + 32*(b*c^4*e*g + b*c^4*d*h)*x^3 - 9*b*e*h + 48*(b*c^4*e*f + b*c^4*d*g)*x^2)*arcsin(c*x) + (18*b*c^3*e*h*x^3 + 288*b*c^3*d*f + 64*b*c*e*g + 64*b*c*d*h + 32*(b*c^3*e*g + b*c^3*d*h)*x^2 + 9*(8*b*c^3*e*f + 8*b*c^3*d*g + 3*b*c*e*h)*x)*sqrt(-c^2*x^2 + 1))/c^4","A",0
100,0,0,0,0.599517," ","integrate((h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a h x^{2} + a g x + a f + {\left(b h x^{2} + b g x + b f\right)} \arcsin\left(c x\right)}{e x + d}, x\right)"," ",0,"integral((a*h*x^2 + a*g*x + a*f + (b*h*x^2 + b*g*x + b*f)*arcsin(c*x))/(e*x + d), x)","F",0
101,0,0,0,0.648738," ","integrate((h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a h x^{2} + a g x + a f + {\left(b h x^{2} + b g x + b f\right)} \arcsin\left(c x\right)}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((a*h*x^2 + a*g*x + a*f + (b*h*x^2 + b*g*x + b*f)*arcsin(c*x))/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
102,0,0,0,2.022744," ","integrate((h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a h x^{2} + a g x + a f + {\left(b h x^{2} + b g x + b f\right)} \arcsin\left(c x\right)}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((a*h*x^2 + a*g*x + a*f + (b*h*x^2 + b*g*x + b*f)*arcsin(c*x))/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
103,1,3003,0,163.369206," ","integrate((h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^4,x, algorithm=""fricas"")","\left[-\frac{12 \, {\left(a c^{6} d^{6} e^{2} - 3 \, a c^{4} d^{4} e^{4} + 3 \, a c^{2} d^{2} e^{6} - a e^{8}\right)} h x^{2} + \sqrt{-c^{2} d^{2} + e^{2}} {\left({\left({\left(2 \, b c^{5} d^{2} e^{5} + b c^{3} e^{7}\right)} f + {\left(b c^{5} d^{3} e^{4} - 4 \, b c^{3} d e^{6}\right)} g + {\left(2 \, b c^{5} d^{4} e^{3} - 5 \, b c^{3} d^{2} e^{5} + 6 \, b c e^{7}\right)} h\right)} x^{3} + 3 \, {\left({\left(2 \, b c^{5} d^{3} e^{4} + b c^{3} d e^{6}\right)} f + {\left(b c^{5} d^{4} e^{3} - 4 \, b c^{3} d^{2} e^{5}\right)} g + {\left(2 \, b c^{5} d^{5} e^{2} - 5 \, b c^{3} d^{3} e^{4} + 6 \, b c d e^{6}\right)} h\right)} x^{2} + {\left(2 \, b c^{5} d^{5} e^{2} + b c^{3} d^{3} e^{4}\right)} f + {\left(b c^{5} d^{6} e - 4 \, b c^{3} d^{4} e^{3}\right)} g + {\left(2 \, b c^{5} d^{7} - 5 \, b c^{3} d^{5} e^{2} + 6 \, b c d^{3} e^{4}\right)} h + 3 \, {\left({\left(2 \, b c^{5} d^{4} e^{3} + b c^{3} d^{2} e^{5}\right)} f + {\left(b c^{5} d^{5} e^{2} - 4 \, b c^{3} d^{3} e^{4}\right)} g + {\left(2 \, b c^{5} d^{6} e - 5 \, b c^{3} d^{4} e^{3} + 6 \, b c d^{2} e^{5}\right)} h\right)} x\right)} \log\left(\frac{2 \, c^{2} d e x - c^{2} d^{2} + {\left(2 \, c^{4} d^{2} - c^{2} e^{2}\right)} x^{2} - 2 \, \sqrt{-c^{2} d^{2} + e^{2}} {\left(c^{2} d x + e\right)} \sqrt{-c^{2} x^{2} + 1} + 2 \, e^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}\right) + 4 \, {\left(a c^{6} d^{6} e^{2} - 3 \, a c^{4} d^{4} e^{4} + 3 \, a c^{2} d^{2} e^{6} - a e^{8}\right)} f + 2 \, {\left(a c^{6} d^{7} e - 3 \, a c^{4} d^{5} e^{3} + 3 \, a c^{2} d^{3} e^{5} - a d e^{7}\right)} g + 4 \, {\left(a c^{6} d^{8} - 3 \, a c^{4} d^{6} e^{2} + 3 \, a c^{2} d^{4} e^{4} - a d^{2} e^{6}\right)} h + 6 \, {\left({\left(a c^{6} d^{6} e^{2} - 3 \, a c^{4} d^{4} e^{4} + 3 \, a c^{2} d^{2} e^{6} - a e^{8}\right)} g + 2 \, {\left(a c^{6} d^{7} e - 3 \, a c^{4} d^{5} e^{3} + 3 \, a c^{2} d^{3} e^{5} - a d e^{7}\right)} h\right)} x + 2 \, {\left(6 \, {\left(b c^{6} d^{6} e^{2} - 3 \, b c^{4} d^{4} e^{4} + 3 \, b c^{2} d^{2} e^{6} - b e^{8}\right)} h x^{2} + 2 \, {\left(b c^{6} d^{6} e^{2} - 3 \, b c^{4} d^{4} e^{4} + 3 \, b c^{2} d^{2} e^{6} - b e^{8}\right)} f + {\left(b c^{6} d^{7} e - 3 \, b c^{4} d^{5} e^{3} + 3 \, b c^{2} d^{3} e^{5} - b d e^{7}\right)} g + 2 \, {\left(b c^{6} d^{8} - 3 \, b c^{4} d^{6} e^{2} + 3 \, b c^{2} d^{4} e^{4} - b d^{2} e^{6}\right)} h + 3 \, {\left({\left(b c^{6} d^{6} e^{2} - 3 \, b c^{4} d^{4} e^{4} + 3 \, b c^{2} d^{2} e^{6} - b e^{8}\right)} g + 2 \, {\left(b c^{6} d^{7} e - 3 \, b c^{4} d^{5} e^{3} + 3 \, b c^{2} d^{3} e^{5} - b d e^{7}\right)} h\right)} x\right)} \arcsin\left(c x\right) - 2 \, \sqrt{-c^{2} x^{2} + 1} {\left(3 \, {\left({\left(b c^{5} d^{3} e^{5} - b c^{3} d e^{7}\right)} f - {\left(b c^{3} d^{2} e^{6} - b c e^{8}\right)} g - {\left(b c^{5} d^{5} e^{3} - 3 \, b c^{3} d^{3} e^{5} + 2 \, b c d e^{7}\right)} h\right)} x^{2} + {\left(4 \, b c^{5} d^{5} e^{3} - 5 \, b c^{3} d^{3} e^{5} + b c d e^{7}\right)} f - {\left(b c^{5} d^{6} e^{2} + b c^{3} d^{4} e^{4} - 2 \, b c d^{2} e^{6}\right)} g - {\left(2 \, b c^{5} d^{7} e - 7 \, b c^{3} d^{5} e^{3} + 5 \, b c d^{3} e^{5}\right)} h + {\left({\left(7 \, b c^{5} d^{4} e^{4} - 8 \, b c^{3} d^{2} e^{6} + b c e^{8}\right)} f - {\left(b c^{5} d^{5} e^{3} + 4 \, b c^{3} d^{3} e^{5} - 5 \, b c d e^{7}\right)} g - {\left(5 \, b c^{5} d^{6} e^{2} - 16 \, b c^{3} d^{4} e^{4} + 11 \, b c d^{2} e^{6}\right)} h\right)} x\right)}}{12 \, {\left(c^{6} d^{9} e^{3} - 3 \, c^{4} d^{7} e^{5} + 3 \, c^{2} d^{5} e^{7} - d^{3} e^{9} + {\left(c^{6} d^{6} e^{6} - 3 \, c^{4} d^{4} e^{8} + 3 \, c^{2} d^{2} e^{10} - e^{12}\right)} x^{3} + 3 \, {\left(c^{6} d^{7} e^{5} - 3 \, c^{4} d^{5} e^{7} + 3 \, c^{2} d^{3} e^{9} - d e^{11}\right)} x^{2} + 3 \, {\left(c^{6} d^{8} e^{4} - 3 \, c^{4} d^{6} e^{6} + 3 \, c^{2} d^{4} e^{8} - d^{2} e^{10}\right)} x\right)}}, -\frac{6 \, {\left(a c^{6} d^{6} e^{2} - 3 \, a c^{4} d^{4} e^{4} + 3 \, a c^{2} d^{2} e^{6} - a e^{8}\right)} h x^{2} - \sqrt{c^{2} d^{2} - e^{2}} {\left({\left({\left(2 \, b c^{5} d^{2} e^{5} + b c^{3} e^{7}\right)} f + {\left(b c^{5} d^{3} e^{4} - 4 \, b c^{3} d e^{6}\right)} g + {\left(2 \, b c^{5} d^{4} e^{3} - 5 \, b c^{3} d^{2} e^{5} + 6 \, b c e^{7}\right)} h\right)} x^{3} + 3 \, {\left({\left(2 \, b c^{5} d^{3} e^{4} + b c^{3} d e^{6}\right)} f + {\left(b c^{5} d^{4} e^{3} - 4 \, b c^{3} d^{2} e^{5}\right)} g + {\left(2 \, b c^{5} d^{5} e^{2} - 5 \, b c^{3} d^{3} e^{4} + 6 \, b c d e^{6}\right)} h\right)} x^{2} + {\left(2 \, b c^{5} d^{5} e^{2} + b c^{3} d^{3} e^{4}\right)} f + {\left(b c^{5} d^{6} e - 4 \, b c^{3} d^{4} e^{3}\right)} g + {\left(2 \, b c^{5} d^{7} - 5 \, b c^{3} d^{5} e^{2} + 6 \, b c d^{3} e^{4}\right)} h + 3 \, {\left({\left(2 \, b c^{5} d^{4} e^{3} + b c^{3} d^{2} e^{5}\right)} f + {\left(b c^{5} d^{5} e^{2} - 4 \, b c^{3} d^{3} e^{4}\right)} g + {\left(2 \, b c^{5} d^{6} e - 5 \, b c^{3} d^{4} e^{3} + 6 \, b c d^{2} e^{5}\right)} h\right)} x\right)} \arctan\left(\frac{\sqrt{c^{2} d^{2} - e^{2}} {\left(c^{2} d x + e\right)} \sqrt{-c^{2} x^{2} + 1}}{c^{2} d^{2} - {\left(c^{4} d^{2} - c^{2} e^{2}\right)} x^{2} - e^{2}}\right) + 2 \, {\left(a c^{6} d^{6} e^{2} - 3 \, a c^{4} d^{4} e^{4} + 3 \, a c^{2} d^{2} e^{6} - a e^{8}\right)} f + {\left(a c^{6} d^{7} e - 3 \, a c^{4} d^{5} e^{3} + 3 \, a c^{2} d^{3} e^{5} - a d e^{7}\right)} g + 2 \, {\left(a c^{6} d^{8} - 3 \, a c^{4} d^{6} e^{2} + 3 \, a c^{2} d^{4} e^{4} - a d^{2} e^{6}\right)} h + 3 \, {\left({\left(a c^{6} d^{6} e^{2} - 3 \, a c^{4} d^{4} e^{4} + 3 \, a c^{2} d^{2} e^{6} - a e^{8}\right)} g + 2 \, {\left(a c^{6} d^{7} e - 3 \, a c^{4} d^{5} e^{3} + 3 \, a c^{2} d^{3} e^{5} - a d e^{7}\right)} h\right)} x + {\left(6 \, {\left(b c^{6} d^{6} e^{2} - 3 \, b c^{4} d^{4} e^{4} + 3 \, b c^{2} d^{2} e^{6} - b e^{8}\right)} h x^{2} + 2 \, {\left(b c^{6} d^{6} e^{2} - 3 \, b c^{4} d^{4} e^{4} + 3 \, b c^{2} d^{2} e^{6} - b e^{8}\right)} f + {\left(b c^{6} d^{7} e - 3 \, b c^{4} d^{5} e^{3} + 3 \, b c^{2} d^{3} e^{5} - b d e^{7}\right)} g + 2 \, {\left(b c^{6} d^{8} - 3 \, b c^{4} d^{6} e^{2} + 3 \, b c^{2} d^{4} e^{4} - b d^{2} e^{6}\right)} h + 3 \, {\left({\left(b c^{6} d^{6} e^{2} - 3 \, b c^{4} d^{4} e^{4} + 3 \, b c^{2} d^{2} e^{6} - b e^{8}\right)} g + 2 \, {\left(b c^{6} d^{7} e - 3 \, b c^{4} d^{5} e^{3} + 3 \, b c^{2} d^{3} e^{5} - b d e^{7}\right)} h\right)} x\right)} \arcsin\left(c x\right) - \sqrt{-c^{2} x^{2} + 1} {\left(3 \, {\left({\left(b c^{5} d^{3} e^{5} - b c^{3} d e^{7}\right)} f - {\left(b c^{3} d^{2} e^{6} - b c e^{8}\right)} g - {\left(b c^{5} d^{5} e^{3} - 3 \, b c^{3} d^{3} e^{5} + 2 \, b c d e^{7}\right)} h\right)} x^{2} + {\left(4 \, b c^{5} d^{5} e^{3} - 5 \, b c^{3} d^{3} e^{5} + b c d e^{7}\right)} f - {\left(b c^{5} d^{6} e^{2} + b c^{3} d^{4} e^{4} - 2 \, b c d^{2} e^{6}\right)} g - {\left(2 \, b c^{5} d^{7} e - 7 \, b c^{3} d^{5} e^{3} + 5 \, b c d^{3} e^{5}\right)} h + {\left({\left(7 \, b c^{5} d^{4} e^{4} - 8 \, b c^{3} d^{2} e^{6} + b c e^{8}\right)} f - {\left(b c^{5} d^{5} e^{3} + 4 \, b c^{3} d^{3} e^{5} - 5 \, b c d e^{7}\right)} g - {\left(5 \, b c^{5} d^{6} e^{2} - 16 \, b c^{3} d^{4} e^{4} + 11 \, b c d^{2} e^{6}\right)} h\right)} x\right)}}{6 \, {\left(c^{6} d^{9} e^{3} - 3 \, c^{4} d^{7} e^{5} + 3 \, c^{2} d^{5} e^{7} - d^{3} e^{9} + {\left(c^{6} d^{6} e^{6} - 3 \, c^{4} d^{4} e^{8} + 3 \, c^{2} d^{2} e^{10} - e^{12}\right)} x^{3} + 3 \, {\left(c^{6} d^{7} e^{5} - 3 \, c^{4} d^{5} e^{7} + 3 \, c^{2} d^{3} e^{9} - d e^{11}\right)} x^{2} + 3 \, {\left(c^{6} d^{8} e^{4} - 3 \, c^{4} d^{6} e^{6} + 3 \, c^{2} d^{4} e^{8} - d^{2} e^{10}\right)} x\right)}}\right]"," ",0,"[-1/12*(12*(a*c^6*d^6*e^2 - 3*a*c^4*d^4*e^4 + 3*a*c^2*d^2*e^6 - a*e^8)*h*x^2 + sqrt(-c^2*d^2 + e^2)*(((2*b*c^5*d^2*e^5 + b*c^3*e^7)*f + (b*c^5*d^3*e^4 - 4*b*c^3*d*e^6)*g + (2*b*c^5*d^4*e^3 - 5*b*c^3*d^2*e^5 + 6*b*c*e^7)*h)*x^3 + 3*((2*b*c^5*d^3*e^4 + b*c^3*d*e^6)*f + (b*c^5*d^4*e^3 - 4*b*c^3*d^2*e^5)*g + (2*b*c^5*d^5*e^2 - 5*b*c^3*d^3*e^4 + 6*b*c*d*e^6)*h)*x^2 + (2*b*c^5*d^5*e^2 + b*c^3*d^3*e^4)*f + (b*c^5*d^6*e - 4*b*c^3*d^4*e^3)*g + (2*b*c^5*d^7 - 5*b*c^3*d^5*e^2 + 6*b*c*d^3*e^4)*h + 3*((2*b*c^5*d^4*e^3 + b*c^3*d^2*e^5)*f + (b*c^5*d^5*e^2 - 4*b*c^3*d^3*e^4)*g + (2*b*c^5*d^6*e - 5*b*c^3*d^4*e^3 + 6*b*c*d^2*e^5)*h)*x)*log((2*c^2*d*e*x - c^2*d^2 + (2*c^4*d^2 - c^2*e^2)*x^2 - 2*sqrt(-c^2*d^2 + e^2)*(c^2*d*x + e)*sqrt(-c^2*x^2 + 1) + 2*e^2)/(e^2*x^2 + 2*d*e*x + d^2)) + 4*(a*c^6*d^6*e^2 - 3*a*c^4*d^4*e^4 + 3*a*c^2*d^2*e^6 - a*e^8)*f + 2*(a*c^6*d^7*e - 3*a*c^4*d^5*e^3 + 3*a*c^2*d^3*e^5 - a*d*e^7)*g + 4*(a*c^6*d^8 - 3*a*c^4*d^6*e^2 + 3*a*c^2*d^4*e^4 - a*d^2*e^6)*h + 6*((a*c^6*d^6*e^2 - 3*a*c^4*d^4*e^4 + 3*a*c^2*d^2*e^6 - a*e^8)*g + 2*(a*c^6*d^7*e - 3*a*c^4*d^5*e^3 + 3*a*c^2*d^3*e^5 - a*d*e^7)*h)*x + 2*(6*(b*c^6*d^6*e^2 - 3*b*c^4*d^4*e^4 + 3*b*c^2*d^2*e^6 - b*e^8)*h*x^2 + 2*(b*c^6*d^6*e^2 - 3*b*c^4*d^4*e^4 + 3*b*c^2*d^2*e^6 - b*e^8)*f + (b*c^6*d^7*e - 3*b*c^4*d^5*e^3 + 3*b*c^2*d^3*e^5 - b*d*e^7)*g + 2*(b*c^6*d^8 - 3*b*c^4*d^6*e^2 + 3*b*c^2*d^4*e^4 - b*d^2*e^6)*h + 3*((b*c^6*d^6*e^2 - 3*b*c^4*d^4*e^4 + 3*b*c^2*d^2*e^6 - b*e^8)*g + 2*(b*c^6*d^7*e - 3*b*c^4*d^5*e^3 + 3*b*c^2*d^3*e^5 - b*d*e^7)*h)*x)*arcsin(c*x) - 2*sqrt(-c^2*x^2 + 1)*(3*((b*c^5*d^3*e^5 - b*c^3*d*e^7)*f - (b*c^3*d^2*e^6 - b*c*e^8)*g - (b*c^5*d^5*e^3 - 3*b*c^3*d^3*e^5 + 2*b*c*d*e^7)*h)*x^2 + (4*b*c^5*d^5*e^3 - 5*b*c^3*d^3*e^5 + b*c*d*e^7)*f - (b*c^5*d^6*e^2 + b*c^3*d^4*e^4 - 2*b*c*d^2*e^6)*g - (2*b*c^5*d^7*e - 7*b*c^3*d^5*e^3 + 5*b*c*d^3*e^5)*h + ((7*b*c^5*d^4*e^4 - 8*b*c^3*d^2*e^6 + b*c*e^8)*f - (b*c^5*d^5*e^3 + 4*b*c^3*d^3*e^5 - 5*b*c*d*e^7)*g - (5*b*c^5*d^6*e^2 - 16*b*c^3*d^4*e^4 + 11*b*c*d^2*e^6)*h)*x))/(c^6*d^9*e^3 - 3*c^4*d^7*e^5 + 3*c^2*d^5*e^7 - d^3*e^9 + (c^6*d^6*e^6 - 3*c^4*d^4*e^8 + 3*c^2*d^2*e^10 - e^12)*x^3 + 3*(c^6*d^7*e^5 - 3*c^4*d^5*e^7 + 3*c^2*d^3*e^9 - d*e^11)*x^2 + 3*(c^6*d^8*e^4 - 3*c^4*d^6*e^6 + 3*c^2*d^4*e^8 - d^2*e^10)*x), -1/6*(6*(a*c^6*d^6*e^2 - 3*a*c^4*d^4*e^4 + 3*a*c^2*d^2*e^6 - a*e^8)*h*x^2 - sqrt(c^2*d^2 - e^2)*(((2*b*c^5*d^2*e^5 + b*c^3*e^7)*f + (b*c^5*d^3*e^4 - 4*b*c^3*d*e^6)*g + (2*b*c^5*d^4*e^3 - 5*b*c^3*d^2*e^5 + 6*b*c*e^7)*h)*x^3 + 3*((2*b*c^5*d^3*e^4 + b*c^3*d*e^6)*f + (b*c^5*d^4*e^3 - 4*b*c^3*d^2*e^5)*g + (2*b*c^5*d^5*e^2 - 5*b*c^3*d^3*e^4 + 6*b*c*d*e^6)*h)*x^2 + (2*b*c^5*d^5*e^2 + b*c^3*d^3*e^4)*f + (b*c^5*d^6*e - 4*b*c^3*d^4*e^3)*g + (2*b*c^5*d^7 - 5*b*c^3*d^5*e^2 + 6*b*c*d^3*e^4)*h + 3*((2*b*c^5*d^4*e^3 + b*c^3*d^2*e^5)*f + (b*c^5*d^5*e^2 - 4*b*c^3*d^3*e^4)*g + (2*b*c^5*d^6*e - 5*b*c^3*d^4*e^3 + 6*b*c*d^2*e^5)*h)*x)*arctan(sqrt(c^2*d^2 - e^2)*(c^2*d*x + e)*sqrt(-c^2*x^2 + 1)/(c^2*d^2 - (c^4*d^2 - c^2*e^2)*x^2 - e^2)) + 2*(a*c^6*d^6*e^2 - 3*a*c^4*d^4*e^4 + 3*a*c^2*d^2*e^6 - a*e^8)*f + (a*c^6*d^7*e - 3*a*c^4*d^5*e^3 + 3*a*c^2*d^3*e^5 - a*d*e^7)*g + 2*(a*c^6*d^8 - 3*a*c^4*d^6*e^2 + 3*a*c^2*d^4*e^4 - a*d^2*e^6)*h + 3*((a*c^6*d^6*e^2 - 3*a*c^4*d^4*e^4 + 3*a*c^2*d^2*e^6 - a*e^8)*g + 2*(a*c^6*d^7*e - 3*a*c^4*d^5*e^3 + 3*a*c^2*d^3*e^5 - a*d*e^7)*h)*x + (6*(b*c^6*d^6*e^2 - 3*b*c^4*d^4*e^4 + 3*b*c^2*d^2*e^6 - b*e^8)*h*x^2 + 2*(b*c^6*d^6*e^2 - 3*b*c^4*d^4*e^4 + 3*b*c^2*d^2*e^6 - b*e^8)*f + (b*c^6*d^7*e - 3*b*c^4*d^5*e^3 + 3*b*c^2*d^3*e^5 - b*d*e^7)*g + 2*(b*c^6*d^8 - 3*b*c^4*d^6*e^2 + 3*b*c^2*d^4*e^4 - b*d^2*e^6)*h + 3*((b*c^6*d^6*e^2 - 3*b*c^4*d^4*e^4 + 3*b*c^2*d^2*e^6 - b*e^8)*g + 2*(b*c^6*d^7*e - 3*b*c^4*d^5*e^3 + 3*b*c^2*d^3*e^5 - b*d*e^7)*h)*x)*arcsin(c*x) - sqrt(-c^2*x^2 + 1)*(3*((b*c^5*d^3*e^5 - b*c^3*d*e^7)*f - (b*c^3*d^2*e^6 - b*c*e^8)*g - (b*c^5*d^5*e^3 - 3*b*c^3*d^3*e^5 + 2*b*c*d*e^7)*h)*x^2 + (4*b*c^5*d^5*e^3 - 5*b*c^3*d^3*e^5 + b*c*d*e^7)*f - (b*c^5*d^6*e^2 + b*c^3*d^4*e^4 - 2*b*c*d^2*e^6)*g - (2*b*c^5*d^7*e - 7*b*c^3*d^5*e^3 + 5*b*c*d^3*e^5)*h + ((7*b*c^5*d^4*e^4 - 8*b*c^3*d^2*e^6 + b*c*e^8)*f - (b*c^5*d^5*e^3 + 4*b*c^3*d^3*e^5 - 5*b*c*d*e^7)*g - (5*b*c^5*d^6*e^2 - 16*b*c^3*d^4*e^4 + 11*b*c*d^2*e^6)*h)*x))/(c^6*d^9*e^3 - 3*c^4*d^7*e^5 + 3*c^2*d^5*e^7 - d^3*e^9 + (c^6*d^6*e^6 - 3*c^4*d^4*e^8 + 3*c^2*d^2*e^10 - e^12)*x^3 + 3*(c^6*d^7*e^5 - 3*c^4*d^5*e^7 + 3*c^2*d^3*e^9 - d*e^11)*x^2 + 3*(c^6*d^8*e^4 - 3*c^4*d^6*e^6 + 3*c^2*d^4*e^8 - d^2*e^10)*x)]","B",0
104,-1,0,0,0.000000," ","integrate((h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^5,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
105,-1,0,0,0.000000," ","integrate((h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^6,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
106,1,936,0,0.994984," ","integrate((e*x+d)^3*(i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","\frac{50400 \, a c^{7} e^{3} i x^{7} + 352800 \, a c^{7} d^{3} f x + 58800 \, {\left(a c^{7} e^{3} h + 3 \, a c^{7} d e^{2} i\right)} x^{6} + 70560 \, {\left(a c^{7} e^{3} g + 3 \, a c^{7} d e^{2} h + 3 \, a c^{7} d^{2} e i\right)} x^{5} + 88200 \, {\left(a c^{7} e^{3} f + 3 \, a c^{7} d e^{2} g + 3 \, a c^{7} d^{2} e h + a c^{7} d^{3} i\right)} x^{4} + 117600 \, {\left(3 \, a c^{7} d e^{2} f + 3 \, a c^{7} d^{2} e g + a c^{7} d^{3} h\right)} x^{3} + 176400 \, {\left(3 \, a c^{7} d^{2} e f + a c^{7} d^{3} g\right)} x^{2} + 105 \, {\left(480 \, b c^{7} e^{3} i x^{7} + 3360 \, b c^{7} d^{3} f x + 560 \, {\left(b c^{7} e^{3} h + 3 \, b c^{7} d e^{2} i\right)} x^{6} + 672 \, {\left(b c^{7} e^{3} g + 3 \, b c^{7} d e^{2} h + 3 \, b c^{7} d^{2} e i\right)} x^{5} + 840 \, {\left(b c^{7} e^{3} f + 3 \, b c^{7} d e^{2} g + 3 \, b c^{7} d^{2} e h + b c^{7} d^{3} i\right)} x^{4} + 1120 \, {\left(3 \, b c^{7} d e^{2} f + 3 \, b c^{7} d^{2} e g + b c^{7} d^{3} h\right)} x^{3} + 1680 \, {\left(3 \, b c^{7} d^{2} e f + b c^{7} d^{3} g\right)} x^{2} - 315 \, {\left(8 \, b c^{5} d^{2} e + b c^{3} e^{3}\right)} f - 105 \, {\left(8 \, b c^{5} d^{3} + 9 \, b c^{3} d e^{2}\right)} g - 35 \, {\left(27 \, b c^{3} d^{2} e + 5 \, b c e^{3}\right)} h - 105 \, {\left(3 \, b c^{3} d^{3} + 5 \, b c d e^{2}\right)} i\right)} \arcsin\left(c x\right) + {\left(7200 \, b c^{6} e^{3} i x^{6} + 9800 \, {\left(b c^{6} e^{3} h + 3 \, b c^{6} d e^{2} i\right)} x^{5} + 288 \, {\left(49 \, b c^{6} e^{3} g + 147 \, b c^{6} d e^{2} h + 3 \, {\left(49 \, b c^{6} d^{2} e + 10 \, b c^{4} e^{3}\right)} i\right)} x^{4} + 2450 \, {\left(9 \, b c^{6} e^{3} f + 27 \, b c^{6} d e^{2} g + {\left(27 \, b c^{6} d^{2} e + 5 \, b c^{4} e^{3}\right)} h + 3 \, {\left(3 \, b c^{6} d^{3} + 5 \, b c^{4} d e^{2}\right)} i\right)} x^{3} + 32 \, {\left(3675 \, b c^{6} d e^{2} f + 147 \, {\left(25 \, b c^{6} d^{2} e + 4 \, b c^{4} e^{3}\right)} g + 49 \, {\left(25 \, b c^{6} d^{3} + 36 \, b c^{4} d e^{2}\right)} h + 36 \, {\left(49 \, b c^{4} d^{2} e + 10 \, b c^{2} e^{3}\right)} i\right)} x^{2} + 117600 \, {\left(3 \, b c^{6} d^{3} + 2 \, b c^{4} d e^{2}\right)} f + 9408 \, {\left(25 \, b c^{4} d^{2} e + 4 \, b c^{2} e^{3}\right)} g + 3136 \, {\left(25 \, b c^{4} d^{3} + 36 \, b c^{2} d e^{2}\right)} h + 2304 \, {\left(49 \, b c^{2} d^{2} e + 10 \, b e^{3}\right)} i + 3675 \, {\left(9 \, {\left(8 \, b c^{6} d^{2} e + b c^{4} e^{3}\right)} f + 3 \, {\left(8 \, b c^{6} d^{3} + 9 \, b c^{4} d e^{2}\right)} g + {\left(27 \, b c^{4} d^{2} e + 5 \, b c^{2} e^{3}\right)} h + 3 \, {\left(3 \, b c^{4} d^{3} + 5 \, b c^{2} d e^{2}\right)} i\right)} x\right)} \sqrt{-c^{2} x^{2} + 1}}{352800 \, c^{7}}"," ",0,"1/352800*(50400*a*c^7*e^3*i*x^7 + 352800*a*c^7*d^3*f*x + 58800*(a*c^7*e^3*h + 3*a*c^7*d*e^2*i)*x^6 + 70560*(a*c^7*e^3*g + 3*a*c^7*d*e^2*h + 3*a*c^7*d^2*e*i)*x^5 + 88200*(a*c^7*e^3*f + 3*a*c^7*d*e^2*g + 3*a*c^7*d^2*e*h + a*c^7*d^3*i)*x^4 + 117600*(3*a*c^7*d*e^2*f + 3*a*c^7*d^2*e*g + a*c^7*d^3*h)*x^3 + 176400*(3*a*c^7*d^2*e*f + a*c^7*d^3*g)*x^2 + 105*(480*b*c^7*e^3*i*x^7 + 3360*b*c^7*d^3*f*x + 560*(b*c^7*e^3*h + 3*b*c^7*d*e^2*i)*x^6 + 672*(b*c^7*e^3*g + 3*b*c^7*d*e^2*h + 3*b*c^7*d^2*e*i)*x^5 + 840*(b*c^7*e^3*f + 3*b*c^7*d*e^2*g + 3*b*c^7*d^2*e*h + b*c^7*d^3*i)*x^4 + 1120*(3*b*c^7*d*e^2*f + 3*b*c^7*d^2*e*g + b*c^7*d^3*h)*x^3 + 1680*(3*b*c^7*d^2*e*f + b*c^7*d^3*g)*x^2 - 315*(8*b*c^5*d^2*e + b*c^3*e^3)*f - 105*(8*b*c^5*d^3 + 9*b*c^3*d*e^2)*g - 35*(27*b*c^3*d^2*e + 5*b*c*e^3)*h - 105*(3*b*c^3*d^3 + 5*b*c*d*e^2)*i)*arcsin(c*x) + (7200*b*c^6*e^3*i*x^6 + 9800*(b*c^6*e^3*h + 3*b*c^6*d*e^2*i)*x^5 + 288*(49*b*c^6*e^3*g + 147*b*c^6*d*e^2*h + 3*(49*b*c^6*d^2*e + 10*b*c^4*e^3)*i)*x^4 + 2450*(9*b*c^6*e^3*f + 27*b*c^6*d*e^2*g + (27*b*c^6*d^2*e + 5*b*c^4*e^3)*h + 3*(3*b*c^6*d^3 + 5*b*c^4*d*e^2)*i)*x^3 + 32*(3675*b*c^6*d*e^2*f + 147*(25*b*c^6*d^2*e + 4*b*c^4*e^3)*g + 49*(25*b*c^6*d^3 + 36*b*c^4*d*e^2)*h + 36*(49*b*c^4*d^2*e + 10*b*c^2*e^3)*i)*x^2 + 117600*(3*b*c^6*d^3 + 2*b*c^4*d*e^2)*f + 9408*(25*b*c^4*d^2*e + 4*b*c^2*e^3)*g + 3136*(25*b*c^4*d^3 + 36*b*c^2*d*e^2)*h + 2304*(49*b*c^2*d^2*e + 10*b*e^3)*i + 3675*(9*(8*b*c^6*d^2*e + b*c^4*e^3)*f + 3*(8*b*c^6*d^3 + 9*b*c^4*d*e^2)*g + (27*b*c^4*d^2*e + 5*b*c^2*e^3)*h + 3*(3*b*c^4*d^3 + 5*b*c^2*d*e^2)*i)*x)*sqrt(-c^2*x^2 + 1))/c^7","A",0
107,1,621,0,1.471395," ","integrate((e*x+d)^2*(i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","\frac{1200 \, a c^{6} e^{2} i x^{6} + 7200 \, a c^{6} d^{2} f x + 1440 \, {\left(a c^{6} e^{2} h + 2 \, a c^{6} d e i\right)} x^{5} + 1800 \, {\left(a c^{6} e^{2} g + 2 \, a c^{6} d e h + a c^{6} d^{2} i\right)} x^{4} + 2400 \, {\left(a c^{6} e^{2} f + 2 \, a c^{6} d e g + a c^{6} d^{2} h\right)} x^{3} + 3600 \, {\left(2 \, a c^{6} d e f + a c^{6} d^{2} g\right)} x^{2} + 15 \, {\left(80 \, b c^{6} e^{2} i x^{6} + 480 \, b c^{6} d^{2} f x - 240 \, b c^{4} d e f - 90 \, b c^{2} d e h + 96 \, {\left(b c^{6} e^{2} h + 2 \, b c^{6} d e i\right)} x^{5} + 120 \, {\left(b c^{6} e^{2} g + 2 \, b c^{6} d e h + b c^{6} d^{2} i\right)} x^{4} + 160 \, {\left(b c^{6} e^{2} f + 2 \, b c^{6} d e g + b c^{6} d^{2} h\right)} x^{3} + 240 \, {\left(2 \, b c^{6} d e f + b c^{6} d^{2} g\right)} x^{2} - 15 \, {\left(8 \, b c^{4} d^{2} + 3 \, b c^{2} e^{2}\right)} g - 5 \, {\left(9 \, b c^{2} d^{2} + 5 \, b e^{2}\right)} i\right)} \arcsin\left(c x\right) + {\left(200 \, b c^{5} e^{2} i x^{5} + 3200 \, b c^{3} d e g + 1536 \, b c d e i + 288 \, {\left(b c^{5} e^{2} h + 2 \, b c^{5} d e i\right)} x^{4} + 50 \, {\left(9 \, b c^{5} e^{2} g + 18 \, b c^{5} d e h + {\left(9 \, b c^{5} d^{2} + 5 \, b c^{3} e^{2}\right)} i\right)} x^{3} + 32 \, {\left(25 \, b c^{5} e^{2} f + 50 \, b c^{5} d e g + 24 \, b c^{3} d e i + {\left(25 \, b c^{5} d^{2} + 12 \, b c^{3} e^{2}\right)} h\right)} x^{2} + 800 \, {\left(9 \, b c^{5} d^{2} + 2 \, b c^{3} e^{2}\right)} f + 64 \, {\left(25 \, b c^{3} d^{2} + 12 \, b c e^{2}\right)} h + 75 \, {\left(48 \, b c^{5} d e f + 18 \, b c^{3} d e h + 3 \, {\left(8 \, b c^{5} d^{2} + 3 \, b c^{3} e^{2}\right)} g + {\left(9 \, b c^{3} d^{2} + 5 \, b c e^{2}\right)} i\right)} x\right)} \sqrt{-c^{2} x^{2} + 1}}{7200 \, c^{6}}"," ",0,"1/7200*(1200*a*c^6*e^2*i*x^6 + 7200*a*c^6*d^2*f*x + 1440*(a*c^6*e^2*h + 2*a*c^6*d*e*i)*x^5 + 1800*(a*c^6*e^2*g + 2*a*c^6*d*e*h + a*c^6*d^2*i)*x^4 + 2400*(a*c^6*e^2*f + 2*a*c^6*d*e*g + a*c^6*d^2*h)*x^3 + 3600*(2*a*c^6*d*e*f + a*c^6*d^2*g)*x^2 + 15*(80*b*c^6*e^2*i*x^6 + 480*b*c^6*d^2*f*x - 240*b*c^4*d*e*f - 90*b*c^2*d*e*h + 96*(b*c^6*e^2*h + 2*b*c^6*d*e*i)*x^5 + 120*(b*c^6*e^2*g + 2*b*c^6*d*e*h + b*c^6*d^2*i)*x^4 + 160*(b*c^6*e^2*f + 2*b*c^6*d*e*g + b*c^6*d^2*h)*x^3 + 240*(2*b*c^6*d*e*f + b*c^6*d^2*g)*x^2 - 15*(8*b*c^4*d^2 + 3*b*c^2*e^2)*g - 5*(9*b*c^2*d^2 + 5*b*e^2)*i)*arcsin(c*x) + (200*b*c^5*e^2*i*x^5 + 3200*b*c^3*d*e*g + 1536*b*c*d*e*i + 288*(b*c^5*e^2*h + 2*b*c^5*d*e*i)*x^4 + 50*(9*b*c^5*e^2*g + 18*b*c^5*d*e*h + (9*b*c^5*d^2 + 5*b*c^3*e^2)*i)*x^3 + 32*(25*b*c^5*e^2*f + 50*b*c^5*d*e*g + 24*b*c^3*d*e*i + (25*b*c^5*d^2 + 12*b*c^3*e^2)*h)*x^2 + 800*(9*b*c^5*d^2 + 2*b*c^3*e^2)*f + 64*(25*b*c^3*d^2 + 12*b*c*e^2)*h + 75*(48*b*c^5*d*e*f + 18*b*c^3*d*e*h + 3*(8*b*c^5*d^2 + 3*b*c^3*e^2)*g + (9*b*c^3*d^2 + 5*b*c*e^2)*i)*x)*sqrt(-c^2*x^2 + 1))/c^6","A",0
108,1,341,0,0.977798," ","integrate((e*x+d)*(i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x)),x, algorithm=""fricas"")","\frac{1440 \, a c^{5} e i x^{5} + 7200 \, a c^{5} d f x + 1800 \, {\left(a c^{5} e h + a c^{5} d i\right)} x^{4} + 2400 \, {\left(a c^{5} e g + a c^{5} d h\right)} x^{3} + 3600 \, {\left(a c^{5} e f + a c^{5} d g\right)} x^{2} + 15 \, {\left(96 \, b c^{5} e i x^{5} + 480 \, b c^{5} d f x - 120 \, b c^{3} e f - 120 \, b c^{3} d g + 120 \, {\left(b c^{5} e h + b c^{5} d i\right)} x^{4} - 45 \, b c e h - 45 \, b c d i + 160 \, {\left(b c^{5} e g + b c^{5} d h\right)} x^{3} + 240 \, {\left(b c^{5} e f + b c^{5} d g\right)} x^{2}\right)} \arcsin\left(c x\right) + {\left(288 \, b c^{4} e i x^{4} + 7200 \, b c^{4} d f + 1600 \, b c^{2} e g + 1600 \, b c^{2} d h + 450 \, {\left(b c^{4} e h + b c^{4} d i\right)} x^{3} + 768 \, b e i + 32 \, {\left(25 \, b c^{4} e g + 25 \, b c^{4} d h + 12 \, b c^{2} e i\right)} x^{2} + 225 \, {\left(8 \, b c^{4} e f + 8 \, b c^{4} d g + 3 \, b c^{2} e h + 3 \, b c^{2} d i\right)} x\right)} \sqrt{-c^{2} x^{2} + 1}}{7200 \, c^{5}}"," ",0,"1/7200*(1440*a*c^5*e*i*x^5 + 7200*a*c^5*d*f*x + 1800*(a*c^5*e*h + a*c^5*d*i)*x^4 + 2400*(a*c^5*e*g + a*c^5*d*h)*x^3 + 3600*(a*c^5*e*f + a*c^5*d*g)*x^2 + 15*(96*b*c^5*e*i*x^5 + 480*b*c^5*d*f*x - 120*b*c^3*e*f - 120*b*c^3*d*g + 120*(b*c^5*e*h + b*c^5*d*i)*x^4 - 45*b*c*e*h - 45*b*c*d*i + 160*(b*c^5*e*g + b*c^5*d*h)*x^3 + 240*(b*c^5*e*f + b*c^5*d*g)*x^2)*arcsin(c*x) + (288*b*c^4*e*i*x^4 + 7200*b*c^4*d*f + 1600*b*c^2*e*g + 1600*b*c^2*d*h + 450*(b*c^4*e*h + b*c^4*d*i)*x^3 + 768*b*e*i + 32*(25*b*c^4*e*g + 25*b*c^4*d*h + 12*b*c^2*e*i)*x^2 + 225*(8*b*c^4*e*f + 8*b*c^4*d*g + 3*b*c^2*e*h + 3*b*c^2*d*i)*x)*sqrt(-c^2*x^2 + 1))/c^5","A",0
109,0,0,0,0.932199," ","integrate((i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a i x^{3} + a h x^{2} + a g x + a f + {\left(b i x^{3} + b h x^{2} + b g x + b f\right)} \arcsin\left(c x\right)}{e x + d}, x\right)"," ",0,"integral((a*i*x^3 + a*h*x^2 + a*g*x + a*f + (b*i*x^3 + b*h*x^2 + b*g*x + b*f)*arcsin(c*x))/(e*x + d), x)","F",0
110,0,0,0,0.922909," ","integrate((i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a i x^{3} + a h x^{2} + a g x + a f + {\left(b i x^{3} + b h x^{2} + b g x + b f\right)} \arcsin\left(c x\right)}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((a*i*x^3 + a*h*x^2 + a*g*x + a*f + (b*i*x^3 + b*h*x^2 + b*g*x + b*f)*arcsin(c*x))/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
111,0,0,0,0.505964," ","integrate((i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a i x^{3} + a h x^{2} + a g x + a f + {\left(b i x^{3} + b h x^{2} + b g x + b f\right)} \arcsin\left(c x\right)}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((a*i*x^3 + a*h*x^2 + a*g*x + a*f + (b*i*x^3 + b*h*x^2 + b*g*x + b*f)*arcsin(c*x))/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
112,0,0,0,0.467285," ","integrate((i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a i x^{3} + a h x^{2} + a g x + a f + {\left(b i x^{3} + b h x^{2} + b g x + b f\right)} \arcsin\left(c x\right)}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}, x\right)"," ",0,"integral((a*i*x^3 + a*h*x^2 + a*g*x + a*f + (b*i*x^3 + b*h*x^2 + b*g*x + b*f)*arcsin(c*x))/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
113,0,0,0,0.490753," ","integrate((g*x+f)*(a+b*arcsin(c*x))^2/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} g x + a^{2} f + {\left(b^{2} g x + b^{2} f\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b g x + a b f\right)} \arcsin\left(c x\right)}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((a^2*g*x + a^2*f + (b^2*g*x + b^2*f)*arcsin(c*x)^2 + 2*(a*b*g*x + a*b*f)*arcsin(c*x))/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
114,0,0,0,0.436961," ","integrate((g*x+f)^2*(a+b*arcsin(c*x))^2/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} g^{2} x^{2} + 2 \, a^{2} f g x + a^{2} f^{2} + {\left(b^{2} g^{2} x^{2} + 2 \, b^{2} f g x + b^{2} f^{2}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b g^{2} x^{2} + 2 \, a b f g x + a b f^{2}\right)} \arcsin\left(c x\right)}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((a^2*g^2*x^2 + 2*a^2*f*g*x + a^2*f^2 + (b^2*g^2*x^2 + 2*b^2*f*g*x + b^2*f^2)*arcsin(c*x)^2 + 2*(a*b*g^2*x^2 + 2*a*b*f*g*x + a*b*f^2)*arcsin(c*x))/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
115,1,1537,0,0.577133," ","integrate((h*x+g)^3*(f*x^2+e*x+d)*(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","\frac{1000 \, {\left(18 \, a^{2} - b^{2}\right)} c^{6} f h^{3} x^{6} + 864 \, {\left(3 \, {\left(25 \, a^{2} - 2 \, b^{2}\right)} c^{6} f g h^{2} + {\left(25 \, a^{2} - 2 \, b^{2}\right)} c^{6} e h^{3}\right)} x^{5} + 375 \, {\left(27 \, {\left(8 \, a^{2} - b^{2}\right)} c^{6} f g^{2} h + 27 \, {\left(8 \, a^{2} - b^{2}\right)} c^{6} e g h^{2} + {\left(9 \, {\left(8 \, a^{2} - b^{2}\right)} c^{6} d - 5 \, b^{2} c^{4} f\right)} h^{3}\right)} x^{4} + 160 \, {\left(25 \, {\left(9 \, a^{2} - 2 \, b^{2}\right)} c^{6} f g^{3} + 75 \, {\left(9 \, a^{2} - 2 \, b^{2}\right)} c^{6} e g^{2} h - 24 \, b^{2} c^{4} e h^{3} + 3 \, {\left(25 \, {\left(9 \, a^{2} - 2 \, b^{2}\right)} c^{6} d - 24 \, b^{2} c^{4} f\right)} g h^{2}\right)} x^{3} + 1125 \, {\left(24 \, {\left(2 \, a^{2} - b^{2}\right)} c^{6} e g^{3} - 27 \, b^{2} c^{4} e g h^{2} + 9 \, {\left(8 \, {\left(2 \, a^{2} - b^{2}\right)} c^{6} d - 3 \, b^{2} c^{4} f\right)} g^{2} h - {\left(9 \, b^{2} c^{4} d + 5 \, b^{2} c^{2} f\right)} h^{3}\right)} x^{2} + 225 \, {\left(80 \, b^{2} c^{6} f h^{3} x^{6} + 480 \, b^{2} c^{6} d g^{3} x - 120 \, b^{2} c^{4} e g^{3} - 135 \, b^{2} c^{2} e g h^{2} + 96 \, {\left(3 \, b^{2} c^{6} f g h^{2} + b^{2} c^{6} e h^{3}\right)} x^{5} + 120 \, {\left(3 \, b^{2} c^{6} f g^{2} h + 3 \, b^{2} c^{6} e g h^{2} + b^{2} c^{6} d h^{3}\right)} x^{4} - 45 \, {\left(8 \, b^{2} c^{4} d + 3 \, b^{2} c^{2} f\right)} g^{2} h - 5 \, {\left(9 \, b^{2} c^{2} d + 5 \, b^{2} f\right)} h^{3} + 160 \, {\left(b^{2} c^{6} f g^{3} + 3 \, b^{2} c^{6} e g^{2} h + 3 \, b^{2} c^{6} d g h^{2}\right)} x^{3} + 240 \, {\left(b^{2} c^{6} e g^{3} + 3 \, b^{2} c^{6} d g^{2} h\right)} x^{2}\right)} \arcsin\left(c x\right)^{2} - 480 \, {\left(300 \, b^{2} c^{4} e g^{2} h + 48 \, b^{2} c^{2} e h^{3} - 25 \, {\left(9 \, {\left(a^{2} - 2 \, b^{2}\right)} c^{6} d - 4 \, b^{2} c^{4} f\right)} g^{3} + 12 \, {\left(25 \, b^{2} c^{4} d + 12 \, b^{2} c^{2} f\right)} g h^{2}\right)} x + 450 \, {\left(80 \, a b c^{6} f h^{3} x^{6} + 480 \, a b c^{6} d g^{3} x - 120 \, a b c^{4} e g^{3} - 135 \, a b c^{2} e g h^{2} + 96 \, {\left(3 \, a b c^{6} f g h^{2} + a b c^{6} e h^{3}\right)} x^{5} + 120 \, {\left(3 \, a b c^{6} f g^{2} h + 3 \, a b c^{6} e g h^{2} + a b c^{6} d h^{3}\right)} x^{4} - 45 \, {\left(8 \, a b c^{4} d + 3 \, a b c^{2} f\right)} g^{2} h - 5 \, {\left(9 \, a b c^{2} d + 5 \, a b f\right)} h^{3} + 160 \, {\left(a b c^{6} f g^{3} + 3 \, a b c^{6} e g^{2} h + 3 \, a b c^{6} d g h^{2}\right)} x^{3} + 240 \, {\left(a b c^{6} e g^{3} + 3 \, a b c^{6} d g^{2} h\right)} x^{2}\right)} \arcsin\left(c x\right) + 30 \, {\left(200 \, a b c^{5} f h^{3} x^{5} + 4800 \, a b c^{3} e g^{2} h + 768 \, a b c e h^{3} + 288 \, {\left(3 \, a b c^{5} f g h^{2} + a b c^{5} e h^{3}\right)} x^{4} + 800 \, {\left(9 \, a b c^{5} d + 2 \, a b c^{3} f\right)} g^{3} + 192 \, {\left(25 \, a b c^{3} d + 12 \, a b c f\right)} g h^{2} + 50 \, {\left(27 \, a b c^{5} f g^{2} h + 27 \, a b c^{5} e g h^{2} + {\left(9 \, a b c^{5} d + 5 \, a b c^{3} f\right)} h^{3}\right)} x^{3} + 32 \, {\left(25 \, a b c^{5} f g^{3} + 75 \, a b c^{5} e g^{2} h + 12 \, a b c^{3} e h^{3} + 3 \, {\left(25 \, a b c^{5} d + 12 \, a b c^{3} f\right)} g h^{2}\right)} x^{2} + 75 \, {\left(24 \, a b c^{5} e g^{3} + 27 \, a b c^{3} e g h^{2} + 9 \, {\left(8 \, a b c^{5} d + 3 \, a b c^{3} f\right)} g^{2} h + {\left(9 \, a b c^{3} d + 5 \, a b c f\right)} h^{3}\right)} x + {\left(200 \, b^{2} c^{5} f h^{3} x^{5} + 4800 \, b^{2} c^{3} e g^{2} h + 768 \, b^{2} c e h^{3} + 288 \, {\left(3 \, b^{2} c^{5} f g h^{2} + b^{2} c^{5} e h^{3}\right)} x^{4} + 800 \, {\left(9 \, b^{2} c^{5} d + 2 \, b^{2} c^{3} f\right)} g^{3} + 192 \, {\left(25 \, b^{2} c^{3} d + 12 \, b^{2} c f\right)} g h^{2} + 50 \, {\left(27 \, b^{2} c^{5} f g^{2} h + 27 \, b^{2} c^{5} e g h^{2} + {\left(9 \, b^{2} c^{5} d + 5 \, b^{2} c^{3} f\right)} h^{3}\right)} x^{3} + 32 \, {\left(25 \, b^{2} c^{5} f g^{3} + 75 \, b^{2} c^{5} e g^{2} h + 12 \, b^{2} c^{3} e h^{3} + 3 \, {\left(25 \, b^{2} c^{5} d + 12 \, b^{2} c^{3} f\right)} g h^{2}\right)} x^{2} + 75 \, {\left(24 \, b^{2} c^{5} e g^{3} + 27 \, b^{2} c^{3} e g h^{2} + 9 \, {\left(8 \, b^{2} c^{5} d + 3 \, b^{2} c^{3} f\right)} g^{2} h + {\left(9 \, b^{2} c^{3} d + 5 \, b^{2} c f\right)} h^{3}\right)} x\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} x^{2} + 1}}{108000 \, c^{6}}"," ",0,"1/108000*(1000*(18*a^2 - b^2)*c^6*f*h^3*x^6 + 864*(3*(25*a^2 - 2*b^2)*c^6*f*g*h^2 + (25*a^2 - 2*b^2)*c^6*e*h^3)*x^5 + 375*(27*(8*a^2 - b^2)*c^6*f*g^2*h + 27*(8*a^2 - b^2)*c^6*e*g*h^2 + (9*(8*a^2 - b^2)*c^6*d - 5*b^2*c^4*f)*h^3)*x^4 + 160*(25*(9*a^2 - 2*b^2)*c^6*f*g^3 + 75*(9*a^2 - 2*b^2)*c^6*e*g^2*h - 24*b^2*c^4*e*h^3 + 3*(25*(9*a^2 - 2*b^2)*c^6*d - 24*b^2*c^4*f)*g*h^2)*x^3 + 1125*(24*(2*a^2 - b^2)*c^6*e*g^3 - 27*b^2*c^4*e*g*h^2 + 9*(8*(2*a^2 - b^2)*c^6*d - 3*b^2*c^4*f)*g^2*h - (9*b^2*c^4*d + 5*b^2*c^2*f)*h^3)*x^2 + 225*(80*b^2*c^6*f*h^3*x^6 + 480*b^2*c^6*d*g^3*x - 120*b^2*c^4*e*g^3 - 135*b^2*c^2*e*g*h^2 + 96*(3*b^2*c^6*f*g*h^2 + b^2*c^6*e*h^3)*x^5 + 120*(3*b^2*c^6*f*g^2*h + 3*b^2*c^6*e*g*h^2 + b^2*c^6*d*h^3)*x^4 - 45*(8*b^2*c^4*d + 3*b^2*c^2*f)*g^2*h - 5*(9*b^2*c^2*d + 5*b^2*f)*h^3 + 160*(b^2*c^6*f*g^3 + 3*b^2*c^6*e*g^2*h + 3*b^2*c^6*d*g*h^2)*x^3 + 240*(b^2*c^6*e*g^3 + 3*b^2*c^6*d*g^2*h)*x^2)*arcsin(c*x)^2 - 480*(300*b^2*c^4*e*g^2*h + 48*b^2*c^2*e*h^3 - 25*(9*(a^2 - 2*b^2)*c^6*d - 4*b^2*c^4*f)*g^3 + 12*(25*b^2*c^4*d + 12*b^2*c^2*f)*g*h^2)*x + 450*(80*a*b*c^6*f*h^3*x^6 + 480*a*b*c^6*d*g^3*x - 120*a*b*c^4*e*g^3 - 135*a*b*c^2*e*g*h^2 + 96*(3*a*b*c^6*f*g*h^2 + a*b*c^6*e*h^3)*x^5 + 120*(3*a*b*c^6*f*g^2*h + 3*a*b*c^6*e*g*h^2 + a*b*c^6*d*h^3)*x^4 - 45*(8*a*b*c^4*d + 3*a*b*c^2*f)*g^2*h - 5*(9*a*b*c^2*d + 5*a*b*f)*h^3 + 160*(a*b*c^6*f*g^3 + 3*a*b*c^6*e*g^2*h + 3*a*b*c^6*d*g*h^2)*x^3 + 240*(a*b*c^6*e*g^3 + 3*a*b*c^6*d*g^2*h)*x^2)*arcsin(c*x) + 30*(200*a*b*c^5*f*h^3*x^5 + 4800*a*b*c^3*e*g^2*h + 768*a*b*c*e*h^3 + 288*(3*a*b*c^5*f*g*h^2 + a*b*c^5*e*h^3)*x^4 + 800*(9*a*b*c^5*d + 2*a*b*c^3*f)*g^3 + 192*(25*a*b*c^3*d + 12*a*b*c*f)*g*h^2 + 50*(27*a*b*c^5*f*g^2*h + 27*a*b*c^5*e*g*h^2 + (9*a*b*c^5*d + 5*a*b*c^3*f)*h^3)*x^3 + 32*(25*a*b*c^5*f*g^3 + 75*a*b*c^5*e*g^2*h + 12*a*b*c^3*e*h^3 + 3*(25*a*b*c^5*d + 12*a*b*c^3*f)*g*h^2)*x^2 + 75*(24*a*b*c^5*e*g^3 + 27*a*b*c^3*e*g*h^2 + 9*(8*a*b*c^5*d + 3*a*b*c^3*f)*g^2*h + (9*a*b*c^3*d + 5*a*b*c*f)*h^3)*x + (200*b^2*c^5*f*h^3*x^5 + 4800*b^2*c^3*e*g^2*h + 768*b^2*c*e*h^3 + 288*(3*b^2*c^5*f*g*h^2 + b^2*c^5*e*h^3)*x^4 + 800*(9*b^2*c^5*d + 2*b^2*c^3*f)*g^3 + 192*(25*b^2*c^3*d + 12*b^2*c*f)*g*h^2 + 50*(27*b^2*c^5*f*g^2*h + 27*b^2*c^5*e*g*h^2 + (9*b^2*c^5*d + 5*b^2*c^3*f)*h^3)*x^3 + 32*(25*b^2*c^5*f*g^3 + 75*b^2*c^5*e*g^2*h + 12*b^2*c^3*e*h^3 + 3*(25*b^2*c^5*d + 12*b^2*c^3*f)*g*h^2)*x^2 + 75*(24*b^2*c^5*e*g^3 + 27*b^2*c^3*e*g*h^2 + 9*(8*b^2*c^5*d + 3*b^2*c^3*f)*g^2*h + (9*b^2*c^3*d + 5*b^2*c*f)*h^3)*x)*arcsin(c*x))*sqrt(-c^2*x^2 + 1))/c^6","A",0
116,1,1029,0,0.513064," ","integrate((h*x+g)^2*(f*x^2+e*x+d)*(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","\frac{864 \, {\left(25 \, a^{2} - 2 \, b^{2}\right)} c^{5} f h^{2} x^{5} + 3375 \, {\left(2 \, {\left(8 \, a^{2} - b^{2}\right)} c^{5} f g h + {\left(8 \, a^{2} - b^{2}\right)} c^{5} e h^{2}\right)} x^{4} + 160 \, {\left(25 \, {\left(9 \, a^{2} - 2 \, b^{2}\right)} c^{5} f g^{2} + 50 \, {\left(9 \, a^{2} - 2 \, b^{2}\right)} c^{5} e g h + {\left(25 \, {\left(9 \, a^{2} - 2 \, b^{2}\right)} c^{5} d - 24 \, b^{2} c^{3} f\right)} h^{2}\right)} x^{3} + 3375 \, {\left(8 \, {\left(2 \, a^{2} - b^{2}\right)} c^{5} e g^{2} - 3 \, b^{2} c^{3} e h^{2} + 2 \, {\left(8 \, {\left(2 \, a^{2} - b^{2}\right)} c^{5} d - 3 \, b^{2} c^{3} f\right)} g h\right)} x^{2} + 225 \, {\left(96 \, b^{2} c^{5} f h^{2} x^{5} + 480 \, b^{2} c^{5} d g^{2} x - 120 \, b^{2} c^{3} e g^{2} - 45 \, b^{2} c e h^{2} + 120 \, {\left(2 \, b^{2} c^{5} f g h + b^{2} c^{5} e h^{2}\right)} x^{4} + 160 \, {\left(b^{2} c^{5} f g^{2} + 2 \, b^{2} c^{5} e g h + b^{2} c^{5} d h^{2}\right)} x^{3} - 30 \, {\left(8 \, b^{2} c^{3} d + 3 \, b^{2} c f\right)} g h + 240 \, {\left(b^{2} c^{5} e g^{2} + 2 \, b^{2} c^{5} d g h\right)} x^{2}\right)} \arcsin\left(c x\right)^{2} - 480 \, {\left(200 \, b^{2} c^{3} e g h - 25 \, {\left(9 \, {\left(a^{2} - 2 \, b^{2}\right)} c^{5} d - 4 \, b^{2} c^{3} f\right)} g^{2} + 4 \, {\left(25 \, b^{2} c^{3} d + 12 \, b^{2} c f\right)} h^{2}\right)} x + 450 \, {\left(96 \, a b c^{5} f h^{2} x^{5} + 480 \, a b c^{5} d g^{2} x - 120 \, a b c^{3} e g^{2} - 45 \, a b c e h^{2} + 120 \, {\left(2 \, a b c^{5} f g h + a b c^{5} e h^{2}\right)} x^{4} + 160 \, {\left(a b c^{5} f g^{2} + 2 \, a b c^{5} e g h + a b c^{5} d h^{2}\right)} x^{3} - 30 \, {\left(8 \, a b c^{3} d + 3 \, a b c f\right)} g h + 240 \, {\left(a b c^{5} e g^{2} + 2 \, a b c^{5} d g h\right)} x^{2}\right)} \arcsin\left(c x\right) + 30 \, {\left(288 \, a b c^{4} f h^{2} x^{4} + 3200 \, a b c^{2} e g h + 450 \, {\left(2 \, a b c^{4} f g h + a b c^{4} e h^{2}\right)} x^{3} + 800 \, {\left(9 \, a b c^{4} d + 2 \, a b c^{2} f\right)} g^{2} + 64 \, {\left(25 \, a b c^{2} d + 12 \, a b f\right)} h^{2} + 32 \, {\left(25 \, a b c^{4} f g^{2} + 50 \, a b c^{4} e g h + {\left(25 \, a b c^{4} d + 12 \, a b c^{2} f\right)} h^{2}\right)} x^{2} + 225 \, {\left(8 \, a b c^{4} e g^{2} + 3 \, a b c^{2} e h^{2} + 2 \, {\left(8 \, a b c^{4} d + 3 \, a b c^{2} f\right)} g h\right)} x + {\left(288 \, b^{2} c^{4} f h^{2} x^{4} + 3200 \, b^{2} c^{2} e g h + 450 \, {\left(2 \, b^{2} c^{4} f g h + b^{2} c^{4} e h^{2}\right)} x^{3} + 800 \, {\left(9 \, b^{2} c^{4} d + 2 \, b^{2} c^{2} f\right)} g^{2} + 64 \, {\left(25 \, b^{2} c^{2} d + 12 \, b^{2} f\right)} h^{2} + 32 \, {\left(25 \, b^{2} c^{4} f g^{2} + 50 \, b^{2} c^{4} e g h + {\left(25 \, b^{2} c^{4} d + 12 \, b^{2} c^{2} f\right)} h^{2}\right)} x^{2} + 225 \, {\left(8 \, b^{2} c^{4} e g^{2} + 3 \, b^{2} c^{2} e h^{2} + 2 \, {\left(8 \, b^{2} c^{4} d + 3 \, b^{2} c^{2} f\right)} g h\right)} x\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} x^{2} + 1}}{108000 \, c^{5}}"," ",0,"1/108000*(864*(25*a^2 - 2*b^2)*c^5*f*h^2*x^5 + 3375*(2*(8*a^2 - b^2)*c^5*f*g*h + (8*a^2 - b^2)*c^5*e*h^2)*x^4 + 160*(25*(9*a^2 - 2*b^2)*c^5*f*g^2 + 50*(9*a^2 - 2*b^2)*c^5*e*g*h + (25*(9*a^2 - 2*b^2)*c^5*d - 24*b^2*c^3*f)*h^2)*x^3 + 3375*(8*(2*a^2 - b^2)*c^5*e*g^2 - 3*b^2*c^3*e*h^2 + 2*(8*(2*a^2 - b^2)*c^5*d - 3*b^2*c^3*f)*g*h)*x^2 + 225*(96*b^2*c^5*f*h^2*x^5 + 480*b^2*c^5*d*g^2*x - 120*b^2*c^3*e*g^2 - 45*b^2*c*e*h^2 + 120*(2*b^2*c^5*f*g*h + b^2*c^5*e*h^2)*x^4 + 160*(b^2*c^5*f*g^2 + 2*b^2*c^5*e*g*h + b^2*c^5*d*h^2)*x^3 - 30*(8*b^2*c^3*d + 3*b^2*c*f)*g*h + 240*(b^2*c^5*e*g^2 + 2*b^2*c^5*d*g*h)*x^2)*arcsin(c*x)^2 - 480*(200*b^2*c^3*e*g*h - 25*(9*(a^2 - 2*b^2)*c^5*d - 4*b^2*c^3*f)*g^2 + 4*(25*b^2*c^3*d + 12*b^2*c*f)*h^2)*x + 450*(96*a*b*c^5*f*h^2*x^5 + 480*a*b*c^5*d*g^2*x - 120*a*b*c^3*e*g^2 - 45*a*b*c*e*h^2 + 120*(2*a*b*c^5*f*g*h + a*b*c^5*e*h^2)*x^4 + 160*(a*b*c^5*f*g^2 + 2*a*b*c^5*e*g*h + a*b*c^5*d*h^2)*x^3 - 30*(8*a*b*c^3*d + 3*a*b*c*f)*g*h + 240*(a*b*c^5*e*g^2 + 2*a*b*c^5*d*g*h)*x^2)*arcsin(c*x) + 30*(288*a*b*c^4*f*h^2*x^4 + 3200*a*b*c^2*e*g*h + 450*(2*a*b*c^4*f*g*h + a*b*c^4*e*h^2)*x^3 + 800*(9*a*b*c^4*d + 2*a*b*c^2*f)*g^2 + 64*(25*a*b*c^2*d + 12*a*b*f)*h^2 + 32*(25*a*b*c^4*f*g^2 + 50*a*b*c^4*e*g*h + (25*a*b*c^4*d + 12*a*b*c^2*f)*h^2)*x^2 + 225*(8*a*b*c^4*e*g^2 + 3*a*b*c^2*e*h^2 + 2*(8*a*b*c^4*d + 3*a*b*c^2*f)*g*h)*x + (288*b^2*c^4*f*h^2*x^4 + 3200*b^2*c^2*e*g*h + 450*(2*b^2*c^4*f*g*h + b^2*c^4*e*h^2)*x^3 + 800*(9*b^2*c^4*d + 2*b^2*c^2*f)*g^2 + 64*(25*b^2*c^2*d + 12*b^2*f)*h^2 + 32*(25*b^2*c^4*f*g^2 + 50*b^2*c^4*e*g*h + (25*b^2*c^4*d + 12*b^2*c^2*f)*h^2)*x^2 + 225*(8*b^2*c^4*e*g^2 + 3*b^2*c^2*e*h^2 + 2*(8*b^2*c^4*d + 3*b^2*c^2*f)*g*h)*x)*arcsin(c*x))*sqrt(-c^2*x^2 + 1))/c^5","A",0
117,1,579,0,0.479923," ","integrate((h*x+g)*(f*x^2+e*x+d)*(a+b*arcsin(c*x))^2,x, algorithm=""fricas"")","\frac{27 \, {\left(8 \, a^{2} - b^{2}\right)} c^{4} f h x^{4} + 32 \, {\left({\left(9 \, a^{2} - 2 \, b^{2}\right)} c^{4} f g + {\left(9 \, a^{2} - 2 \, b^{2}\right)} c^{4} e h\right)} x^{3} + 27 \, {\left(8 \, {\left(2 \, a^{2} - b^{2}\right)} c^{4} e g + {\left(8 \, {\left(2 \, a^{2} - b^{2}\right)} c^{4} d - 3 \, b^{2} c^{2} f\right)} h\right)} x^{2} + 9 \, {\left(24 \, b^{2} c^{4} f h x^{4} + 96 \, b^{2} c^{4} d g x - 24 \, b^{2} c^{2} e g + 32 \, {\left(b^{2} c^{4} f g + b^{2} c^{4} e h\right)} x^{3} + 48 \, {\left(b^{2} c^{4} e g + b^{2} c^{4} d h\right)} x^{2} - 3 \, {\left(8 \, b^{2} c^{2} d + 3 \, b^{2} f\right)} h\right)} \arcsin\left(c x\right)^{2} - 96 \, {\left(4 \, b^{2} c^{2} e h - {\left(9 \, {\left(a^{2} - 2 \, b^{2}\right)} c^{4} d - 4 \, b^{2} c^{2} f\right)} g\right)} x + 18 \, {\left(24 \, a b c^{4} f h x^{4} + 96 \, a b c^{4} d g x - 24 \, a b c^{2} e g + 32 \, {\left(a b c^{4} f g + a b c^{4} e h\right)} x^{3} + 48 \, {\left(a b c^{4} e g + a b c^{4} d h\right)} x^{2} - 3 \, {\left(8 \, a b c^{2} d + 3 \, a b f\right)} h\right)} \arcsin\left(c x\right) + 6 \, {\left(18 \, a b c^{3} f h x^{3} + 64 \, a b c e h + 32 \, {\left(a b c^{3} f g + a b c^{3} e h\right)} x^{2} + 32 \, {\left(9 \, a b c^{3} d + 2 \, a b c f\right)} g + 9 \, {\left(8 \, a b c^{3} e g + {\left(8 \, a b c^{3} d + 3 \, a b c f\right)} h\right)} x + {\left(18 \, b^{2} c^{3} f h x^{3} + 64 \, b^{2} c e h + 32 \, {\left(b^{2} c^{3} f g + b^{2} c^{3} e h\right)} x^{2} + 32 \, {\left(9 \, b^{2} c^{3} d + 2 \, b^{2} c f\right)} g + 9 \, {\left(8 \, b^{2} c^{3} e g + {\left(8 \, b^{2} c^{3} d + 3 \, b^{2} c f\right)} h\right)} x\right)} \arcsin\left(c x\right)\right)} \sqrt{-c^{2} x^{2} + 1}}{864 \, c^{4}}"," ",0,"1/864*(27*(8*a^2 - b^2)*c^4*f*h*x^4 + 32*((9*a^2 - 2*b^2)*c^4*f*g + (9*a^2 - 2*b^2)*c^4*e*h)*x^3 + 27*(8*(2*a^2 - b^2)*c^4*e*g + (8*(2*a^2 - b^2)*c^4*d - 3*b^2*c^2*f)*h)*x^2 + 9*(24*b^2*c^4*f*h*x^4 + 96*b^2*c^4*d*g*x - 24*b^2*c^2*e*g + 32*(b^2*c^4*f*g + b^2*c^4*e*h)*x^3 + 48*(b^2*c^4*e*g + b^2*c^4*d*h)*x^2 - 3*(8*b^2*c^2*d + 3*b^2*f)*h)*arcsin(c*x)^2 - 96*(4*b^2*c^2*e*h - (9*(a^2 - 2*b^2)*c^4*d - 4*b^2*c^2*f)*g)*x + 18*(24*a*b*c^4*f*h*x^4 + 96*a*b*c^4*d*g*x - 24*a*b*c^2*e*g + 32*(a*b*c^4*f*g + a*b*c^4*e*h)*x^3 + 48*(a*b*c^4*e*g + a*b*c^4*d*h)*x^2 - 3*(8*a*b*c^2*d + 3*a*b*f)*h)*arcsin(c*x) + 6*(18*a*b*c^3*f*h*x^3 + 64*a*b*c*e*h + 32*(a*b*c^3*f*g + a*b*c^3*e*h)*x^2 + 32*(9*a*b*c^3*d + 2*a*b*c*f)*g + 9*(8*a*b*c^3*e*g + (8*a*b*c^3*d + 3*a*b*c*f)*h)*x + (18*b^2*c^3*f*h*x^3 + 64*b^2*c*e*h + 32*(b^2*c^3*f*g + b^2*c^3*e*h)*x^2 + 32*(9*b^2*c^3*d + 2*b^2*c*f)*g + 9*(8*b^2*c^3*e*g + (8*b^2*c^3*d + 3*b^2*c*f)*h)*x)*arcsin(c*x))*sqrt(-c^2*x^2 + 1))/c^4","A",0
118,0,0,0,0.452012," ","integrate((f*x^2+e*x+d)*(a+b*arcsin(c*x))^2/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} f x^{2} + a^{2} e x + a^{2} d + {\left(b^{2} f x^{2} + b^{2} e x + b^{2} d\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b f x^{2} + a b e x + a b d\right)} \arcsin\left(c x\right)}{h x + g}, x\right)"," ",0,"integral((a^2*f*x^2 + a^2*e*x + a^2*d + (b^2*f*x^2 + b^2*e*x + b^2*d)*arcsin(c*x)^2 + 2*(a*b*f*x^2 + a*b*e*x + a*b*d)*arcsin(c*x))/(h*x + g), x)","F",0
119,0,0,0,0.455302," ","integrate((f*x^2+e*x+d)*(a+b*arcsin(c*x))^2/(h*x+g)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} f x^{2} + a^{2} e x + a^{2} d + {\left(b^{2} f x^{2} + b^{2} e x + b^{2} d\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b f x^{2} + a b e x + a b d\right)} \arcsin\left(c x\right)}{h^{2} x^{2} + 2 \, g h x + g^{2}}, x\right)"," ",0,"integral((a^2*f*x^2 + a^2*e*x + a^2*d + (b^2*f*x^2 + b^2*e*x + b^2*d)*arcsin(c*x)^2 + 2*(a*b*f*x^2 + a*b*e*x + a*b*d)*arcsin(c*x))/(h^2*x^2 + 2*g*h*x + g^2), x)","F",0
120,0,0,0,0.484957," ","integrate((e*h*x^2+2*d*h*x+e*f)*(a+b*arcsin(c*x))^2/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} e h x^{2} + 2 \, a^{2} d h x + a^{2} e f + {\left(b^{2} e h x^{2} + 2 \, b^{2} d h x + b^{2} e f\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b e h x^{2} + 2 \, a b d h x + a b e f\right)} \arcsin\left(c x\right)}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((a^2*e*h*x^2 + 2*a^2*d*h*x + a^2*e*f + (b^2*e*h*x^2 + 2*b^2*d*h*x + b^2*e*f)*arcsin(c*x)^2 + 2*(a*b*e*h*x^2 + 2*a*b*d*h*x + a*b*e*f)*arcsin(c*x))/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
121,0,0,0,0.564237," ","integrate((e*h*x^2+2*d*h*x+e*f)^2*(a+b*arcsin(c*x))^2/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} e^{2} h^{2} x^{4} + 4 \, a^{2} d e h^{2} x^{3} + 4 \, a^{2} d e f h x + a^{2} e^{2} f^{2} + 2 \, {\left(a^{2} e^{2} f h + 2 \, a^{2} d^{2} h^{2}\right)} x^{2} + {\left(b^{2} e^{2} h^{2} x^{4} + 4 \, b^{2} d e h^{2} x^{3} + 4 \, b^{2} d e f h x + b^{2} e^{2} f^{2} + 2 \, {\left(b^{2} e^{2} f h + 2 \, b^{2} d^{2} h^{2}\right)} x^{2}\right)} \arcsin\left(c x\right)^{2} + 2 \, {\left(a b e^{2} h^{2} x^{4} + 4 \, a b d e h^{2} x^{3} + 4 \, a b d e f h x + a b e^{2} f^{2} + 2 \, {\left(a b e^{2} f h + 2 \, a b d^{2} h^{2}\right)} x^{2}\right)} \arcsin\left(c x\right)}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((a^2*e^2*h^2*x^4 + 4*a^2*d*e*h^2*x^3 + 4*a^2*d*e*f*h*x + a^2*e^2*f^2 + 2*(a^2*e^2*f*h + 2*a^2*d^2*h^2)*x^2 + (b^2*e^2*h^2*x^4 + 4*b^2*d*e*h^2*x^3 + 4*b^2*d*e*f*h*x + b^2*e^2*f^2 + 2*(b^2*e^2*f*h + 2*b^2*d^2*h^2)*x^2)*arcsin(c*x)^2 + 2*(a*b*e^2*h^2*x^4 + 4*a*b*d*e*h^2*x^3 + 4*a*b*d*e*f*h*x + a*b*e^2*f^2 + 2*(a*b*e^2*f*h + 2*a*b*d^2*h^2)*x^2)*arcsin(c*x))/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
122,1,93,0,0.464743," ","integrate(x^3*arcsin(b*x+a),x, algorithm=""fricas"")","\frac{3 \, {\left(8 \, b^{4} x^{4} - 8 \, a^{4} - 24 \, a^{2} - 3\right)} \arcsin\left(b x + a\right) + {\left(6 \, b^{3} x^{3} - 14 \, a b^{2} x^{2} - 50 \, a^{3} + {\left(26 \, a^{2} + 9\right)} b x - 55 \, a\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{96 \, b^{4}}"," ",0,"1/96*(3*(8*b^4*x^4 - 8*a^4 - 24*a^2 - 3)*arcsin(b*x + a) + (6*b^3*x^3 - 14*a*b^2*x^2 - 50*a^3 + (26*a^2 + 9)*b*x - 55*a)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))/b^4","A",0
123,1,74,0,0.465329," ","integrate(x^2*arcsin(b*x+a),x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} + 3 \, a\right)} \arcsin\left(b x + a\right) + {\left(2 \, b^{2} x^{2} - 5 \, a b x + 11 \, a^{2} + 4\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{18 \, b^{3}}"," ",0,"1/18*(3*(2*b^3*x^3 + 2*a^3 + 3*a)*arcsin(b*x + a) + (2*b^2*x^2 - 5*a*b*x + 11*a^2 + 4)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))/b^3","A",0
124,1,58,0,0.504252," ","integrate(x*arcsin(b*x+a),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} x^{2} - 2 \, a^{2} - 1\right)} \arcsin\left(b x + a\right) + \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(b x - 3 \, a\right)}}{4 \, b^{2}}"," ",0,"1/4*((2*b^2*x^2 - 2*a^2 - 1)*arcsin(b*x + a) + sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(b*x - 3*a))/b^2","A",0
125,1,39,0,1.169029," ","integrate(arcsin(b*x+a),x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \arcsin\left(b x + a\right) + \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{b}"," ",0,"((b*x + a)*arcsin(b*x + a) + sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))/b","A",0
126,0,0,0,0.431823," ","integrate(arcsin(b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arcsin\left(b x + a\right)}{x}, x\right)"," ",0,"integral(arcsin(b*x + a)/x, x)","F",0
127,1,233,0,0.498567," ","integrate(arcsin(b*x+a)/x^2,x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} + 1} b x \log\left(\frac{{\left(2 \, a^{2} - 1\right)} b^{2} x^{2} + 2 \, a^{4} + 4 \, {\left(a^{3} - a\right)} b x + 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a b x + a^{2} - 1\right)} \sqrt{-a^{2} + 1} - 4 \, a^{2} + 2}{x^{2}}\right) + 2 \, {\left(a^{2} - 1\right)} \arcsin\left(b x + a\right)}{2 \, {\left(a^{2} - 1\right)} x}, \frac{\sqrt{a^{2} - 1} b x \arctan\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1}}{{\left(a^{2} - 1\right)} b^{2} x^{2} + a^{4} + 2 \, {\left(a^{3} - a\right)} b x - 2 \, a^{2} + 1}\right) - {\left(a^{2} - 1\right)} \arcsin\left(b x + a\right)}{{\left(a^{2} - 1\right)} x}\right]"," ",0,"[-1/2*(sqrt(-a^2 + 1)*b*x*log(((2*a^2 - 1)*b^2*x^2 + 2*a^4 + 4*(a^3 - a)*b*x + 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a*b*x + a^2 - 1)*sqrt(-a^2 + 1) - 4*a^2 + 2)/x^2) + 2*(a^2 - 1)*arcsin(b*x + a))/((a^2 - 1)*x), (sqrt(a^2 - 1)*b*x*arctan(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a*b*x + a^2 - 1)*sqrt(a^2 - 1)/((a^2 - 1)*b^2*x^2 + a^4 + 2*(a^3 - a)*b*x - 2*a^2 + 1)) - (a^2 - 1)*arcsin(b*x + a))/((a^2 - 1)*x)]","A",0
128,1,325,0,0.477747," ","integrate(arcsin(b*x+a)/x^3,x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} + 1} a b^{2} x^{2} \log\left(\frac{{\left(2 \, a^{2} - 1\right)} b^{2} x^{2} + 2 \, a^{4} + 4 \, {\left(a^{3} - a\right)} b x - 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a b x + a^{2} - 1\right)} \sqrt{-a^{2} + 1} - 4 \, a^{2} + 2}{x^{2}}\right) - 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a^{2} - 1\right)} b x + 2 \, {\left(a^{4} - 2 \, a^{2} + 1\right)} \arcsin\left(b x + a\right)}{4 \, {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2}}, -\frac{\sqrt{a^{2} - 1} a b^{2} x^{2} \arctan\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1}}{{\left(a^{2} - 1\right)} b^{2} x^{2} + a^{4} + 2 \, {\left(a^{3} - a\right)} b x - 2 \, a^{2} + 1}\right) - \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a^{2} - 1\right)} b x + {\left(a^{4} - 2 \, a^{2} + 1\right)} \arcsin\left(b x + a\right)}{2 \, {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2}}\right]"," ",0,"[-1/4*(sqrt(-a^2 + 1)*a*b^2*x^2*log(((2*a^2 - 1)*b^2*x^2 + 2*a^4 + 4*(a^3 - a)*b*x - 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a*b*x + a^2 - 1)*sqrt(-a^2 + 1) - 4*a^2 + 2)/x^2) - 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a^2 - 1)*b*x + 2*(a^4 - 2*a^2 + 1)*arcsin(b*x + a))/((a^4 - 2*a^2 + 1)*x^2), -1/2*(sqrt(a^2 - 1)*a*b^2*x^2*arctan(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a*b*x + a^2 - 1)*sqrt(a^2 - 1)/((a^2 - 1)*b^2*x^2 + a^4 + 2*(a^3 - a)*b*x - 2*a^2 + 1)) - sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a^2 - 1)*b*x + (a^4 - 2*a^2 + 1)*arcsin(b*x + a))/((a^4 - 2*a^2 + 1)*x^2)]","A",0
129,1,404,0,0.574637," ","integrate(arcsin(b*x+a)/x^4,x, algorithm=""fricas"")","\left[-\frac{{\left(2 \, a^{2} + 1\right)} \sqrt{-a^{2} + 1} b^{3} x^{3} \log\left(\frac{{\left(2 \, a^{2} - 1\right)} b^{2} x^{2} + 2 \, a^{4} + 4 \, {\left(a^{3} - a\right)} b x + 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a b x + a^{2} - 1\right)} \sqrt{-a^{2} + 1} - 4 \, a^{2} + 2}{x^{2}}\right) + 4 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} \arcsin\left(b x + a\right) + 2 \, {\left(3 \, {\left(a^{3} - a\right)} b^{2} x^{2} - {\left(a^{4} - 2 \, a^{2} + 1\right)} b x\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{12 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3}}, \frac{{\left(2 \, a^{2} + 1\right)} \sqrt{a^{2} - 1} b^{3} x^{3} \arctan\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1}}{{\left(a^{2} - 1\right)} b^{2} x^{2} + a^{4} + 2 \, {\left(a^{3} - a\right)} b x - 2 \, a^{2} + 1}\right) - 2 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} \arcsin\left(b x + a\right) - {\left(3 \, {\left(a^{3} - a\right)} b^{2} x^{2} - {\left(a^{4} - 2 \, a^{2} + 1\right)} b x\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{6 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3}}\right]"," ",0,"[-1/12*((2*a^2 + 1)*sqrt(-a^2 + 1)*b^3*x^3*log(((2*a^2 - 1)*b^2*x^2 + 2*a^4 + 4*(a^3 - a)*b*x + 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a*b*x + a^2 - 1)*sqrt(-a^2 + 1) - 4*a^2 + 2)/x^2) + 4*(a^6 - 3*a^4 + 3*a^2 - 1)*arcsin(b*x + a) + 2*(3*(a^3 - a)*b^2*x^2 - (a^4 - 2*a^2 + 1)*b*x)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))/((a^6 - 3*a^4 + 3*a^2 - 1)*x^3), 1/6*((2*a^2 + 1)*sqrt(a^2 - 1)*b^3*x^3*arctan(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a*b*x + a^2 - 1)*sqrt(a^2 - 1)/((a^2 - 1)*b^2*x^2 + a^4 + 2*(a^3 - a)*b*x - 2*a^2 + 1)) - 2*(a^6 - 3*a^4 + 3*a^2 - 1)*arcsin(b*x + a) - (3*(a^3 - a)*b^2*x^2 - (a^4 - 2*a^2 + 1)*b*x)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))/((a^6 - 3*a^4 + 3*a^2 - 1)*x^3)]","A",0
130,1,484,0,0.586584," ","integrate(arcsin(b*x+a)/x^5,x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(2 \, a^{3} + 3 \, a\right)} \sqrt{-a^{2} + 1} b^{4} x^{4} \log\left(\frac{{\left(2 \, a^{2} - 1\right)} b^{2} x^{2} + 2 \, a^{4} + 4 \, {\left(a^{3} - a\right)} b x - 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a b x + a^{2} - 1\right)} \sqrt{-a^{2} + 1} - 4 \, a^{2} + 2}{x^{2}}\right) + 12 \, {\left(a^{8} - 4 \, a^{6} + 6 \, a^{4} - 4 \, a^{2} + 1\right)} \arcsin\left(b x + a\right) - 2 \, {\left({\left(11 \, a^{4} - 7 \, a^{2} - 4\right)} b^{3} x^{3} - 5 \, {\left(a^{5} - 2 \, a^{3} + a\right)} b^{2} x^{2} + 2 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} b x\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{48 \, {\left(a^{8} - 4 \, a^{6} + 6 \, a^{4} - 4 \, a^{2} + 1\right)} x^{4}}, -\frac{3 \, {\left(2 \, a^{3} + 3 \, a\right)} \sqrt{a^{2} - 1} b^{4} x^{4} \arctan\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1}}{{\left(a^{2} - 1\right)} b^{2} x^{2} + a^{4} + 2 \, {\left(a^{3} - a\right)} b x - 2 \, a^{2} + 1}\right) + 6 \, {\left(a^{8} - 4 \, a^{6} + 6 \, a^{4} - 4 \, a^{2} + 1\right)} \arcsin\left(b x + a\right) - {\left({\left(11 \, a^{4} - 7 \, a^{2} - 4\right)} b^{3} x^{3} - 5 \, {\left(a^{5} - 2 \, a^{3} + a\right)} b^{2} x^{2} + 2 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} b x\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{24 \, {\left(a^{8} - 4 \, a^{6} + 6 \, a^{4} - 4 \, a^{2} + 1\right)} x^{4}}\right]"," ",0,"[-1/48*(3*(2*a^3 + 3*a)*sqrt(-a^2 + 1)*b^4*x^4*log(((2*a^2 - 1)*b^2*x^2 + 2*a^4 + 4*(a^3 - a)*b*x - 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a*b*x + a^2 - 1)*sqrt(-a^2 + 1) - 4*a^2 + 2)/x^2) + 12*(a^8 - 4*a^6 + 6*a^4 - 4*a^2 + 1)*arcsin(b*x + a) - 2*((11*a^4 - 7*a^2 - 4)*b^3*x^3 - 5*(a^5 - 2*a^3 + a)*b^2*x^2 + 2*(a^6 - 3*a^4 + 3*a^2 - 1)*b*x)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))/((a^8 - 4*a^6 + 6*a^4 - 4*a^2 + 1)*x^4), -1/24*(3*(2*a^3 + 3*a)*sqrt(a^2 - 1)*b^4*x^4*arctan(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a*b*x + a^2 - 1)*sqrt(a^2 - 1)/((a^2 - 1)*b^2*x^2 + a^4 + 2*(a^3 - a)*b*x - 2*a^2 + 1)) + 6*(a^8 - 4*a^6 + 6*a^4 - 4*a^2 + 1)*arcsin(b*x + a) - ((11*a^4 - 7*a^2 - 4)*b^3*x^3 - 5*(a^5 - 2*a^3 + a)*b^2*x^2 + 2*(a^6 - 3*a^4 + 3*a^2 - 1)*b*x)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))/((a^8 - 4*a^6 + 6*a^4 - 4*a^2 + 1)*x^4)]","A",0
131,1,147,0,0.470325," ","integrate(x^3*arcsin(b*x+a)^2,x, algorithm=""fricas"")","-\frac{9 \, b^{4} x^{4} - 28 \, a b^{3} x^{3} + 3 \, {\left(26 \, a^{2} + 9\right)} b^{2} x^{2} - 30 \, {\left(10 \, a^{3} + 11 \, a\right)} b x - 9 \, {\left(8 \, b^{4} x^{4} - 8 \, a^{4} - 24 \, a^{2} - 3\right)} \arcsin\left(b x + a\right)^{2} - 6 \, {\left(6 \, b^{3} x^{3} - 14 \, a b^{2} x^{2} - 50 \, a^{3} + {\left(26 \, a^{2} + 9\right)} b x - 55 \, a\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} \arcsin\left(b x + a\right)}{288 \, b^{4}}"," ",0,"-1/288*(9*b^4*x^4 - 28*a*b^3*x^3 + 3*(26*a^2 + 9)*b^2*x^2 - 30*(10*a^3 + 11*a)*b*x - 9*(8*b^4*x^4 - 8*a^4 - 24*a^2 - 3)*arcsin(b*x + a)^2 - 6*(6*b^3*x^3 - 14*a*b^2*x^2 - 50*a^3 + (26*a^2 + 9)*b*x - 55*a)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*arcsin(b*x + a))/b^4","A",0
132,1,111,0,0.463507," ","integrate(x^2*arcsin(b*x+a)^2,x, algorithm=""fricas"")","-\frac{4 \, b^{3} x^{3} - 15 \, a b^{2} x^{2} + 6 \, {\left(11 \, a^{2} + 4\right)} b x - 9 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} + 3 \, a\right)} \arcsin\left(b x + a\right)^{2} - 6 \, {\left(2 \, b^{2} x^{2} - 5 \, a b x + 11 \, a^{2} + 4\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} \arcsin\left(b x + a\right)}{54 \, b^{3}}"," ",0,"-1/54*(4*b^3*x^3 - 15*a*b^2*x^2 + 6*(11*a^2 + 4)*b*x - 9*(2*b^3*x^3 + 2*a^3 + 3*a)*arcsin(b*x + a)^2 - 6*(2*b^2*x^2 - 5*a*b*x + 11*a^2 + 4)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*arcsin(b*x + a))/b^3","A",0
133,1,80,0,0.485888," ","integrate(x*arcsin(b*x+a)^2,x, algorithm=""fricas"")","-\frac{b^{2} x^{2} - 6 \, a b x - {\left(2 \, b^{2} x^{2} - 2 \, a^{2} - 1\right)} \arcsin\left(b x + a\right)^{2} - 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(b x - 3 \, a\right)} \arcsin\left(b x + a\right)}{4 \, b^{2}}"," ",0,"-1/4*(b^2*x^2 - 6*a*b*x - (2*b^2*x^2 - 2*a^2 - 1)*arcsin(b*x + a)^2 - 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(b*x - 3*a)*arcsin(b*x + a))/b^2","A",0
134,1,53,0,0.459506," ","integrate(arcsin(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \arcsin\left(b x + a\right)^{2} - 2 \, b x + 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} \arcsin\left(b x + a\right)}{b}"," ",0,"((b*x + a)*arcsin(b*x + a)^2 - 2*b*x + 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*arcsin(b*x + a))/b","A",0
135,0,0,0,0.417943," ","integrate(arcsin(b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arcsin\left(b x + a\right)^{2}}{x}, x\right)"," ",0,"integral(arcsin(b*x + a)^2/x, x)","F",0
136,0,0,0,0.418667," ","integrate(arcsin(b*x+a)^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arcsin\left(b x + a\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(arcsin(b*x + a)^2/x^2, x)","F",0
137,0,0,0,0.415328," ","integrate(arcsin(b*x+a)^2/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arcsin\left(b x + a\right)^{2}}{x^{3}}, x\right)"," ",0,"integral(arcsin(b*x + a)^2/x^3, x)","F",0
138,1,152,0,0.432095," ","integrate(x^2*arcsin(b*x+a)^3,x, algorithm=""fricas"")","\frac{18 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} + 3 \, a\right)} \arcsin\left(b x + a\right)^{3} - 3 \, {\left(8 \, b^{3} x^{3} - 30 \, a b^{2} x^{2} + 170 \, a^{3} + 12 \, {\left(11 \, a^{2} + 4\right)} b x + 75 \, a\right)} \arcsin\left(b x + a\right) - {\left(8 \, b^{2} x^{2} - 65 \, a b x - 18 \, {\left(2 \, b^{2} x^{2} - 5 \, a b x + 11 \, a^{2} + 4\right)} \arcsin\left(b x + a\right)^{2} + 575 \, a^{2} + 160\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{108 \, b^{3}}"," ",0,"1/108*(18*(2*b^3*x^3 + 2*a^3 + 3*a)*arcsin(b*x + a)^3 - 3*(8*b^3*x^3 - 30*a*b^2*x^2 + 170*a^3 + 12*(11*a^2 + 4)*b*x + 75*a)*arcsin(b*x + a) - (8*b^2*x^2 - 65*a*b*x - 18*(2*b^2*x^2 - 5*a*b*x + 11*a^2 + 4)*arcsin(b*x + a)^2 + 575*a^2 + 160)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))/b^3","A",0
139,1,108,0,0.422069," ","integrate(x*arcsin(b*x+a)^3,x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, b^{2} x^{2} - 2 \, a^{2} - 1\right)} \arcsin\left(b x + a\right)^{3} - 3 \, {\left(2 \, b^{2} x^{2} - 12 \, a b x - 14 \, a^{2} - 1\right)} \arcsin\left(b x + a\right) + 3 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(2 \, {\left(b x - 3 \, a\right)} \arcsin\left(b x + a\right)^{2} - b x + 15 \, a\right)}}{8 \, b^{2}}"," ",0,"1/8*(2*(2*b^2*x^2 - 2*a^2 - 1)*arcsin(b*x + a)^3 - 3*(2*b^2*x^2 - 12*a*b*x - 14*a^2 - 1)*arcsin(b*x + a) + 3*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(2*(b*x - 3*a)*arcsin(b*x + a)^2 - b*x + 15*a))/b^2","A",0
140,1,66,0,0.428356," ","integrate(arcsin(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \arcsin\left(b x + a\right)^{3} - 6 \, {\left(b x + a\right)} \arcsin\left(b x + a\right) + 3 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(\arcsin\left(b x + a\right)^{2} - 2\right)}}{b}"," ",0,"((b*x + a)*arcsin(b*x + a)^3 - 6*(b*x + a)*arcsin(b*x + a) + 3*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(arcsin(b*x + a)^2 - 2))/b","A",0
141,0,0,0,0.425844," ","integrate(arcsin(b*x+a)^3/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arcsin\left(b x + a\right)^{3}}{x}, x\right)"," ",0,"integral(arcsin(b*x + a)^3/x, x)","F",0
142,0,0,0,0.425748," ","integrate(arcsin(b*x+a)^3/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arcsin\left(b x + a\right)^{3}}{x^{2}}, x\right)"," ",0,"integral(arcsin(b*x + a)^3/x^2, x)","F",0
143,0,0,0,0.399463," ","integrate(x^2/arcsin(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{\arcsin\left(b x + a\right)}, x\right)"," ",0,"integral(x^2/arcsin(b*x + a), x)","F",0
144,0,0,0,0.407844," ","integrate(x/arcsin(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{\arcsin\left(b x + a\right)}, x\right)"," ",0,"integral(x/arcsin(b*x + a), x)","F",0
145,0,0,0,0.456321," ","integrate(1/arcsin(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\arcsin\left(b x + a\right)}, x\right)"," ",0,"integral(1/arcsin(b*x + a), x)","F",0
146,0,0,0,0.444647," ","integrate(1/x/arcsin(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \arcsin\left(b x + a\right)}, x\right)"," ",0,"integral(1/(x*arcsin(b*x + a)), x)","F",0
147,0,0,0,0.433772," ","integrate(x^2/arcsin(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{\arcsin\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(x^2/arcsin(b*x + a)^2, x)","F",0
148,0,0,0,0.432650," ","integrate(x/arcsin(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{\arcsin\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(x/arcsin(b*x + a)^2, x)","F",0
149,0,0,0,0.397175," ","integrate(1/arcsin(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\arcsin\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(arcsin(b*x + a)^(-2), x)","F",0
150,0,0,0,0.410955," ","integrate(1/x/arcsin(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \arcsin\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(1/(x*arcsin(b*x + a)^2), x)","F",0
151,0,0,0,0.448321," ","integrate(x^2/arcsin(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{\arcsin\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(x^2/arcsin(b*x + a)^3, x)","F",0
152,0,0,0,0.450757," ","integrate(x/arcsin(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{\arcsin\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(x/arcsin(b*x + a)^3, x)","F",0
153,0,0,0,0.427581," ","integrate(1/arcsin(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\arcsin\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(arcsin(b*x + a)^(-3), x)","F",0
154,0,0,0,0.443763," ","integrate(1/x/arcsin(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \arcsin\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(1/(x*arcsin(b*x + a)^3), x)","F",0
155,-2,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
156,-2,0,0,0.000000," ","integrate(x*(a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
157,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
158,-2,0,0,0.000000," ","integrate(x*(a+b*arcsin(d*x+c))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
159,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x+c))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
160,-2,0,0,0.000000," ","integrate(x*(a+b*arcsin(d*x+c))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
161,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x+c))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
162,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
163,-2,0,0,0.000000," ","integrate(x^2/(a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
164,-2,0,0,0.000000," ","integrate(x/(a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
165,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
166,-2,0,0,0.000000," ","integrate(x/(a+b*arcsin(d*x+c))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
167,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x+c))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
168,-2,0,0,0.000000," ","integrate(x/(a+b*arcsin(d*x+c))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
169,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x+c))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
170,-2,0,0,0.000000," ","integrate(x/(a+b*arcsin(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
171,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
172,0,0,0,0.458055," ","integrate(x^m*(a+b*arcsin(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \arcsin\left(d x + c\right) + a\right)}^{n} x^{m}, x\right)"," ",0,"integral((b*arcsin(d*x + c) + a)^n*x^m, x)","F",0
173,0,0,0,0.459999," ","integrate(x^2*(a+b*arcsin(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \arcsin\left(d x + c\right) + a\right)}^{n} x^{2}, x\right)"," ",0,"integral((b*arcsin(d*x + c) + a)^n*x^2, x)","F",0
174,0,0,0,0.448198," ","integrate(x*(a+b*arcsin(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \arcsin\left(d x + c\right) + a\right)}^{n} x, x\right)"," ",0,"integral((b*arcsin(d*x + c) + a)^n*x, x)","F",0
175,0,0,0,0.488152," ","integrate((a+b*arcsin(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \arcsin\left(d x + c\right) + a\right)}^{n}, x\right)"," ",0,"integral((b*arcsin(d*x + c) + a)^n, x)","F",0
176,0,0,0,0.474252," ","integrate((a+b*arcsin(d*x+c))^n/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \arcsin\left(d x + c\right) + a\right)}^{n}}{x}, x\right)"," ",0,"integral((b*arcsin(d*x + c) + a)^n/x, x)","F",0
177,1,262,0,0.467980," ","integrate((d*e*x+c*e)^4*(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","\frac{15 \, a d^{5} e^{4} x^{5} + 75 \, a c d^{4} e^{4} x^{4} + 150 \, a c^{2} d^{3} e^{4} x^{3} + 150 \, a c^{3} d^{2} e^{4} x^{2} + 75 \, a c^{4} d e^{4} x + 15 \, {\left(b d^{5} e^{4} x^{5} + 5 \, b c d^{4} e^{4} x^{4} + 10 \, b c^{2} d^{3} e^{4} x^{3} + 10 \, b c^{3} d^{2} e^{4} x^{2} + 5 \, b c^{4} d e^{4} x + b c^{5} e^{4}\right)} \arcsin\left(d x + c\right) + {\left(3 \, b d^{4} e^{4} x^{4} + 12 \, b c d^{3} e^{4} x^{3} + 2 \, {\left(9 \, b c^{2} + 2 \, b\right)} d^{2} e^{4} x^{2} + 4 \, {\left(3 \, b c^{3} + 2 \, b c\right)} d e^{4} x + {\left(3 \, b c^{4} + 4 \, b c^{2} + 8 \, b\right)} e^{4}\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{75 \, d}"," ",0,"1/75*(15*a*d^5*e^4*x^5 + 75*a*c*d^4*e^4*x^4 + 150*a*c^2*d^3*e^4*x^3 + 150*a*c^3*d^2*e^4*x^2 + 75*a*c^4*d*e^4*x + 15*(b*d^5*e^4*x^5 + 5*b*c*d^4*e^4*x^4 + 10*b*c^2*d^3*e^4*x^3 + 10*b*c^3*d^2*e^4*x^2 + 5*b*c^4*d*e^4*x + b*c^5*e^4)*arcsin(d*x + c) + (3*b*d^4*e^4*x^4 + 12*b*c*d^3*e^4*x^3 + 2*(9*b*c^2 + 2*b)*d^2*e^4*x^2 + 4*(3*b*c^3 + 2*b*c)*d*e^4*x + (3*b*c^4 + 4*b*c^2 + 8*b)*e^4)*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
178,1,209,0,0.591561," ","integrate((d*e*x+c*e)^3*(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","\frac{8 \, a d^{4} e^{3} x^{4} + 32 \, a c d^{3} e^{3} x^{3} + 48 \, a c^{2} d^{2} e^{3} x^{2} + 32 \, a c^{3} d e^{3} x + {\left(8 \, b d^{4} e^{3} x^{4} + 32 \, b c d^{3} e^{3} x^{3} + 48 \, b c^{2} d^{2} e^{3} x^{2} + 32 \, b c^{3} d e^{3} x + {\left(8 \, b c^{4} - 3 \, b\right)} e^{3}\right)} \arcsin\left(d x + c\right) + {\left(2 \, b d^{3} e^{3} x^{3} + 6 \, b c d^{2} e^{3} x^{2} + 3 \, {\left(2 \, b c^{2} + b\right)} d e^{3} x + {\left(2 \, b c^{3} + 3 \, b c\right)} e^{3}\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{32 \, d}"," ",0,"1/32*(8*a*d^4*e^3*x^4 + 32*a*c*d^3*e^3*x^3 + 48*a*c^2*d^2*e^3*x^2 + 32*a*c^3*d*e^3*x + (8*b*d^4*e^3*x^4 + 32*b*c*d^3*e^3*x^3 + 48*b*c^2*d^2*e^3*x^2 + 32*b*c^3*d*e^3*x + (8*b*c^4 - 3*b)*e^3)*arcsin(d*x + c) + (2*b*d^3*e^3*x^3 + 6*b*c*d^2*e^3*x^2 + 3*(2*b*c^2 + b)*d*e^3*x + (2*b*c^3 + 3*b*c)*e^3)*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
179,1,151,0,0.600448," ","integrate((d*e*x+c*e)^2*(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","\frac{3 \, a d^{3} e^{2} x^{3} + 9 \, a c d^{2} e^{2} x^{2} + 9 \, a c^{2} d e^{2} x + 3 \, {\left(b d^{3} e^{2} x^{3} + 3 \, b c d^{2} e^{2} x^{2} + 3 \, b c^{2} d e^{2} x + b c^{3} e^{2}\right)} \arcsin\left(d x + c\right) + {\left(b d^{2} e^{2} x^{2} + 2 \, b c d e^{2} x + {\left(b c^{2} + 2 \, b\right)} e^{2}\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{9 \, d}"," ",0,"1/9*(3*a*d^3*e^2*x^3 + 9*a*c*d^2*e^2*x^2 + 9*a*c^2*d*e^2*x + 3*(b*d^3*e^2*x^3 + 3*b*c*d^2*e^2*x^2 + 3*b*c^2*d*e^2*x + b*c^3*e^2)*arcsin(d*x + c) + (b*d^2*e^2*x^2 + 2*b*c*d*e^2*x + (b*c^2 + 2*b)*e^2)*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
180,1,93,0,0.458623," ","integrate((d*e*x+c*e)*(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","\frac{2 \, a d^{2} e x^{2} + 4 \, a c d e x + {\left(2 \, b d^{2} e x^{2} + 4 \, b c d e x + {\left(2 \, b c^{2} - b\right)} e\right)} \arcsin\left(d x + c\right) + {\left(b d e x + b c e\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{4 \, d}"," ",0,"1/4*(2*a*d^2*e*x^2 + 4*a*c*d*e*x + (2*b*d^2*e*x^2 + 4*b*c*d*e*x + (2*b*c^2 - b)*e)*arcsin(d*x + c) + (b*d*e*x + b*c*e)*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","A",0
181,1,48,0,0.480222," ","integrate(a+b*arcsin(d*x+c),x, algorithm=""fricas"")","\frac{a d x + {\left(b d x + b c\right)} \arcsin\left(d x + c\right) + \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} b}{d}"," ",0,"(a*d*x + (b*d*x + b*c)*arcsin(d*x + c) + sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1)*b)/d","A",0
182,0,0,0,0.492712," ","integrate((a+b*arcsin(d*x+c))/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \arcsin\left(d x + c\right) + a}{d e x + c e}, x\right)"," ",0,"integral((b*arcsin(d*x + c) + a)/(d*e*x + c*e), x)","F",0
183,1,101,0,0.584269," ","integrate((a+b*arcsin(d*x+c))/(d*e*x+c*e)^2,x, algorithm=""fricas"")","-\frac{2 \, b \arcsin\left(d x + c\right) + {\left(b d x + b c\right)} \log\left(\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} + 1\right) - {\left(b d x + b c\right)} \log\left(\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} - 1\right) + 2 \, a}{2 \, {\left(d^{2} e^{2} x + c d e^{2}\right)}}"," ",0,"-1/2*(2*b*arcsin(d*x + c) + (b*d*x + b*c)*log(sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1) + 1) - (b*d*x + b*c)*log(sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1) - 1) + 2*a)/(d^2*e^2*x + c*d*e^2)","B",0
184,1,102,0,0.500899," ","integrate((a+b*arcsin(d*x+c))/(d*e*x+c*e)^3,x, algorithm=""fricas"")","\frac{a d^{2} x^{2} + 2 \, a c d x - b c^{2} \arcsin\left(d x + c\right) - {\left(b c^{2} d x + b c^{3}\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{2 \, {\left(c^{2} d^{3} e^{3} x^{2} + 2 \, c^{3} d^{2} e^{3} x + c^{4} d e^{3}\right)}}"," ",0,"1/2*(a*d^2*x^2 + 2*a*c*d*x - b*c^2*arcsin(d*x + c) - (b*c^2*d*x + b*c^3)*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/(c^2*d^3*e^3*x^2 + 2*c^3*d^2*e^3*x + c^4*d*e^3)","A",0
185,1,209,0,0.575242," ","integrate((a+b*arcsin(d*x+c))/(d*e*x+c*e)^4,x, algorithm=""fricas"")","-\frac{4 \, b \arcsin\left(d x + c\right) + {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} + 1\right) - {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} - 1\right) + 2 \, \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} {\left(b d x + b c\right)} + 4 \, a}{12 \, {\left(d^{4} e^{4} x^{3} + 3 \, c d^{3} e^{4} x^{2} + 3 \, c^{2} d^{2} e^{4} x + c^{3} d e^{4}\right)}}"," ",0,"-1/12*(4*b*arcsin(d*x + c) + (b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1) + 1) - (b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1) - 1) + 2*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1)*(b*d*x + b*c) + 4*a)/(d^4*e^4*x^3 + 3*c*d^3*e^4*x^2 + 3*c^2*d^2*e^4*x + c^3*d*e^4)","B",0
186,1,193,0,0.565207," ","integrate((a+b*arcsin(d*x+c))/(d*e*x+c*e)^5,x, algorithm=""fricas"")","\frac{3 \, a d^{4} x^{4} + 12 \, a c d^{3} x^{3} + 18 \, a c^{2} d^{2} x^{2} + 12 \, a c^{3} d x - 3 \, b c^{4} \arcsin\left(d x + c\right) - {\left(2 \, b c^{4} d^{3} x^{3} + 6 \, b c^{5} d^{2} x^{2} + 2 \, b c^{7} + b c^{5} + {\left(6 \, b c^{6} + b c^{4}\right)} d x\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{12 \, {\left(c^{4} d^{5} e^{5} x^{4} + 4 \, c^{5} d^{4} e^{5} x^{3} + 6 \, c^{6} d^{3} e^{5} x^{2} + 4 \, c^{7} d^{2} e^{5} x + c^{8} d e^{5}\right)}}"," ",0,"1/12*(3*a*d^4*x^4 + 12*a*c*d^3*x^3 + 18*a*c^2*d^2*x^2 + 12*a*c^3*d*x - 3*b*c^4*arcsin(d*x + c) - (2*b*c^4*d^3*x^3 + 6*b*c^5*d^2*x^2 + 2*b*c^7 + b*c^5 + (6*b*c^6 + b*c^4)*d*x)*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/(c^4*d^5*e^5*x^4 + 4*c^5*d^4*e^5*x^3 + 6*c^6*d^3*e^5*x^2 + 4*c^7*d^2*e^5*x + c^8*d*e^5)","B",0
187,1,321,0,0.633145," ","integrate((a+b*arcsin(d*x+c))/(d*e*x+c*e)^6,x, algorithm=""fricas"")","-\frac{16 \, b \arcsin\left(d x + c\right) + 3 \, {\left(b d^{5} x^{5} + 5 \, b c d^{4} x^{4} + 10 \, b c^{2} d^{3} x^{3} + 10 \, b c^{3} d^{2} x^{2} + 5 \, b c^{4} d x + b c^{5}\right)} \log\left(\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} + 1\right) - 3 \, {\left(b d^{5} x^{5} + 5 \, b c d^{4} x^{4} + 10 \, b c^{2} d^{3} x^{3} + 10 \, b c^{3} d^{2} x^{2} + 5 \, b c^{4} d x + b c^{5}\right)} \log\left(\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} - 1\right) + 2 \, {\left(3 \, b d^{3} x^{3} + 9 \, b c d^{2} x^{2} + 3 \, b c^{3} + {\left(9 \, b c^{2} + 2 \, b\right)} d x + 2 \, b c\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} + 16 \, a}{80 \, {\left(d^{6} e^{6} x^{5} + 5 \, c d^{5} e^{6} x^{4} + 10 \, c^{2} d^{4} e^{6} x^{3} + 10 \, c^{3} d^{3} e^{6} x^{2} + 5 \, c^{4} d^{2} e^{6} x + c^{5} d e^{6}\right)}}"," ",0,"-1/80*(16*b*arcsin(d*x + c) + 3*(b*d^5*x^5 + 5*b*c*d^4*x^4 + 10*b*c^2*d^3*x^3 + 10*b*c^3*d^2*x^2 + 5*b*c^4*d*x + b*c^5)*log(sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1) + 1) - 3*(b*d^5*x^5 + 5*b*c*d^4*x^4 + 10*b*c^2*d^3*x^3 + 10*b*c^3*d^2*x^2 + 5*b*c^4*d*x + b*c^5)*log(sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1) - 1) + 2*(3*b*d^3*x^3 + 9*b*c*d^2*x^2 + 3*b*c^3 + (9*b*c^2 + 2*b)*d*x + 2*b*c)*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1) + 16*a)/(d^6*e^6*x^5 + 5*c*d^5*e^6*x^4 + 10*c^2*d^4*e^6*x^3 + 10*c^3*d^3*e^6*x^2 + 5*c^4*d^2*e^6*x + c^5*d*e^6)","B",0
188,1,567,0,0.456371," ","integrate((d*e*x+c*e)^4*(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","\frac{9 \, {\left(25 \, a^{2} - 2 \, b^{2}\right)} d^{5} e^{4} x^{5} + 45 \, {\left(25 \, a^{2} - 2 \, b^{2}\right)} c d^{4} e^{4} x^{4} + 10 \, {\left(9 \, {\left(25 \, a^{2} - 2 \, b^{2}\right)} c^{2} - 4 \, b^{2}\right)} d^{3} e^{4} x^{3} + 30 \, {\left(3 \, {\left(25 \, a^{2} - 2 \, b^{2}\right)} c^{3} - 4 \, b^{2} c\right)} d^{2} e^{4} x^{2} + 15 \, {\left(3 \, {\left(25 \, a^{2} - 2 \, b^{2}\right)} c^{4} - 8 \, b^{2} c^{2} - 16 \, b^{2}\right)} d e^{4} x + 225 \, {\left(b^{2} d^{5} e^{4} x^{5} + 5 \, b^{2} c d^{4} e^{4} x^{4} + 10 \, b^{2} c^{2} d^{3} e^{4} x^{3} + 10 \, b^{2} c^{3} d^{2} e^{4} x^{2} + 5 \, b^{2} c^{4} d e^{4} x + b^{2} c^{5} e^{4}\right)} \arcsin\left(d x + c\right)^{2} + 450 \, {\left(a b d^{5} e^{4} x^{5} + 5 \, a b c d^{4} e^{4} x^{4} + 10 \, a b c^{2} d^{3} e^{4} x^{3} + 10 \, a b c^{3} d^{2} e^{4} x^{2} + 5 \, a b c^{4} d e^{4} x + a b c^{5} e^{4}\right)} \arcsin\left(d x + c\right) + 30 \, {\left(3 \, a b d^{4} e^{4} x^{4} + 12 \, a b c d^{3} e^{4} x^{3} + 2 \, {\left(9 \, a b c^{2} + 2 \, a b\right)} d^{2} e^{4} x^{2} + 4 \, {\left(3 \, a b c^{3} + 2 \, a b c\right)} d e^{4} x + {\left(3 \, a b c^{4} + 4 \, a b c^{2} + 8 \, a b\right)} e^{4} + {\left(3 \, b^{2} d^{4} e^{4} x^{4} + 12 \, b^{2} c d^{3} e^{4} x^{3} + 2 \, {\left(9 \, b^{2} c^{2} + 2 \, b^{2}\right)} d^{2} e^{4} x^{2} + 4 \, {\left(3 \, b^{2} c^{3} + 2 \, b^{2} c\right)} d e^{4} x + {\left(3 \, b^{2} c^{4} + 4 \, b^{2} c^{2} + 8 \, b^{2}\right)} e^{4}\right)} \arcsin\left(d x + c\right)\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{1125 \, d}"," ",0,"1/1125*(9*(25*a^2 - 2*b^2)*d^5*e^4*x^5 + 45*(25*a^2 - 2*b^2)*c*d^4*e^4*x^4 + 10*(9*(25*a^2 - 2*b^2)*c^2 - 4*b^2)*d^3*e^4*x^3 + 30*(3*(25*a^2 - 2*b^2)*c^3 - 4*b^2*c)*d^2*e^4*x^2 + 15*(3*(25*a^2 - 2*b^2)*c^4 - 8*b^2*c^2 - 16*b^2)*d*e^4*x + 225*(b^2*d^5*e^4*x^5 + 5*b^2*c*d^4*e^4*x^4 + 10*b^2*c^2*d^3*e^4*x^3 + 10*b^2*c^3*d^2*e^4*x^2 + 5*b^2*c^4*d*e^4*x + b^2*c^5*e^4)*arcsin(d*x + c)^2 + 450*(a*b*d^5*e^4*x^5 + 5*a*b*c*d^4*e^4*x^4 + 10*a*b*c^2*d^3*e^4*x^3 + 10*a*b*c^3*d^2*e^4*x^2 + 5*a*b*c^4*d*e^4*x + a*b*c^5*e^4)*arcsin(d*x + c) + 30*(3*a*b*d^4*e^4*x^4 + 12*a*b*c*d^3*e^4*x^3 + 2*(9*a*b*c^2 + 2*a*b)*d^2*e^4*x^2 + 4*(3*a*b*c^3 + 2*a*b*c)*d*e^4*x + (3*a*b*c^4 + 4*a*b*c^2 + 8*a*b)*e^4 + (3*b^2*d^4*e^4*x^4 + 12*b^2*c*d^3*e^4*x^3 + 2*(9*b^2*c^2 + 2*b^2)*d^2*e^4*x^2 + 4*(3*b^2*c^3 + 2*b^2*c)*d*e^4*x + (3*b^2*c^4 + 4*b^2*c^2 + 8*b^2)*e^4)*arcsin(d*x + c))*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
189,1,442,0,0.504482," ","integrate((d*e*x+c*e)^3*(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","\frac{{\left(8 \, a^{2} - b^{2}\right)} d^{4} e^{3} x^{4} + 4 \, {\left(8 \, a^{2} - b^{2}\right)} c d^{3} e^{3} x^{3} + 3 \, {\left(2 \, {\left(8 \, a^{2} - b^{2}\right)} c^{2} - b^{2}\right)} d^{2} e^{3} x^{2} + 2 \, {\left(2 \, {\left(8 \, a^{2} - b^{2}\right)} c^{3} - 3 \, b^{2} c\right)} d e^{3} x + {\left(8 \, b^{2} d^{4} e^{3} x^{4} + 32 \, b^{2} c d^{3} e^{3} x^{3} + 48 \, b^{2} c^{2} d^{2} e^{3} x^{2} + 32 \, b^{2} c^{3} d e^{3} x + {\left(8 \, b^{2} c^{4} - 3 \, b^{2}\right)} e^{3}\right)} \arcsin\left(d x + c\right)^{2} + 2 \, {\left(8 \, a b d^{4} e^{3} x^{4} + 32 \, a b c d^{3} e^{3} x^{3} + 48 \, a b c^{2} d^{2} e^{3} x^{2} + 32 \, a b c^{3} d e^{3} x + {\left(8 \, a b c^{4} - 3 \, a b\right)} e^{3}\right)} \arcsin\left(d x + c\right) + 2 \, {\left(2 \, a b d^{3} e^{3} x^{3} + 6 \, a b c d^{2} e^{3} x^{2} + 3 \, {\left(2 \, a b c^{2} + a b\right)} d e^{3} x + {\left(2 \, a b c^{3} + 3 \, a b c\right)} e^{3} + {\left(2 \, b^{2} d^{3} e^{3} x^{3} + 6 \, b^{2} c d^{2} e^{3} x^{2} + 3 \, {\left(2 \, b^{2} c^{2} + b^{2}\right)} d e^{3} x + {\left(2 \, b^{2} c^{3} + 3 \, b^{2} c\right)} e^{3}\right)} \arcsin\left(d x + c\right)\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{32 \, d}"," ",0,"1/32*((8*a^2 - b^2)*d^4*e^3*x^4 + 4*(8*a^2 - b^2)*c*d^3*e^3*x^3 + 3*(2*(8*a^2 - b^2)*c^2 - b^2)*d^2*e^3*x^2 + 2*(2*(8*a^2 - b^2)*c^3 - 3*b^2*c)*d*e^3*x + (8*b^2*d^4*e^3*x^4 + 32*b^2*c*d^3*e^3*x^3 + 48*b^2*c^2*d^2*e^3*x^2 + 32*b^2*c^3*d*e^3*x + (8*b^2*c^4 - 3*b^2)*e^3)*arcsin(d*x + c)^2 + 2*(8*a*b*d^4*e^3*x^4 + 32*a*b*c*d^3*e^3*x^3 + 48*a*b*c^2*d^2*e^3*x^2 + 32*a*b*c^3*d*e^3*x + (8*a*b*c^4 - 3*a*b)*e^3)*arcsin(d*x + c) + 2*(2*a*b*d^3*e^3*x^3 + 6*a*b*c*d^2*e^3*x^2 + 3*(2*a*b*c^2 + a*b)*d*e^3*x + (2*a*b*c^3 + 3*a*b*c)*e^3 + (2*b^2*d^3*e^3*x^3 + 6*b^2*c*d^2*e^3*x^2 + 3*(2*b^2*c^2 + b^2)*d*e^3*x + (2*b^2*c^3 + 3*b^2*c)*e^3)*arcsin(d*x + c))*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
190,1,307,0,0.471946," ","integrate((d*e*x+c*e)^2*(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","\frac{{\left(9 \, a^{2} - 2 \, b^{2}\right)} d^{3} e^{2} x^{3} + 3 \, {\left(9 \, a^{2} - 2 \, b^{2}\right)} c d^{2} e^{2} x^{2} + 3 \, {\left({\left(9 \, a^{2} - 2 \, b^{2}\right)} c^{2} - 4 \, b^{2}\right)} d e^{2} x + 9 \, {\left(b^{2} d^{3} e^{2} x^{3} + 3 \, b^{2} c d^{2} e^{2} x^{2} + 3 \, b^{2} c^{2} d e^{2} x + b^{2} c^{3} e^{2}\right)} \arcsin\left(d x + c\right)^{2} + 18 \, {\left(a b d^{3} e^{2} x^{3} + 3 \, a b c d^{2} e^{2} x^{2} + 3 \, a b c^{2} d e^{2} x + a b c^{3} e^{2}\right)} \arcsin\left(d x + c\right) + 6 \, {\left(a b d^{2} e^{2} x^{2} + 2 \, a b c d e^{2} x + {\left(a b c^{2} + 2 \, a b\right)} e^{2} + {\left(b^{2} d^{2} e^{2} x^{2} + 2 \, b^{2} c d e^{2} x + {\left(b^{2} c^{2} + 2 \, b^{2}\right)} e^{2}\right)} \arcsin\left(d x + c\right)\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{27 \, d}"," ",0,"1/27*((9*a^2 - 2*b^2)*d^3*e^2*x^3 + 3*(9*a^2 - 2*b^2)*c*d^2*e^2*x^2 + 3*((9*a^2 - 2*b^2)*c^2 - 4*b^2)*d*e^2*x + 9*(b^2*d^3*e^2*x^3 + 3*b^2*c*d^2*e^2*x^2 + 3*b^2*c^2*d*e^2*x + b^2*c^3*e^2)*arcsin(d*x + c)^2 + 18*(a*b*d^3*e^2*x^3 + 3*a*b*c*d^2*e^2*x^2 + 3*a*b*c^2*d*e^2*x + a*b*c^3*e^2)*arcsin(d*x + c) + 6*(a*b*d^2*e^2*x^2 + 2*a*b*c*d*e^2*x + (a*b*c^2 + 2*a*b)*e^2 + (b^2*d^2*e^2*x^2 + 2*b^2*c*d*e^2*x + (b^2*c^2 + 2*b^2)*e^2)*arcsin(d*x + c))*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
191,1,188,0,0.454884," ","integrate((d*e*x+c*e)*(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","\frac{{\left(2 \, a^{2} - b^{2}\right)} d^{2} e x^{2} + 2 \, {\left(2 \, a^{2} - b^{2}\right)} c d e x + {\left(2 \, b^{2} d^{2} e x^{2} + 4 \, b^{2} c d e x + {\left(2 \, b^{2} c^{2} - b^{2}\right)} e\right)} \arcsin\left(d x + c\right)^{2} + 2 \, {\left(2 \, a b d^{2} e x^{2} + 4 \, a b c d e x + {\left(2 \, a b c^{2} - a b\right)} e\right)} \arcsin\left(d x + c\right) + 2 \, {\left(a b d e x + a b c e + {\left(b^{2} d e x + b^{2} c e\right)} \arcsin\left(d x + c\right)\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{4 \, d}"," ",0,"1/4*((2*a^2 - b^2)*d^2*e*x^2 + 2*(2*a^2 - b^2)*c*d*e*x + (2*b^2*d^2*e*x^2 + 4*b^2*c*d*e*x + (2*b^2*c^2 - b^2)*e)*arcsin(d*x + c)^2 + 2*(2*a*b*d^2*e*x^2 + 4*a*b*c*d*e*x + (2*a*b*c^2 - a*b)*e)*arcsin(d*x + c) + 2*(a*b*d*e*x + a*b*c*e + (b^2*d*e*x + b^2*c*e)*arcsin(d*x + c))*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","A",0
192,1,94,0,0.416803," ","integrate((a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","\frac{{\left(a^{2} - 2 \, b^{2}\right)} d x + {\left(b^{2} d x + b^{2} c\right)} \arcsin\left(d x + c\right)^{2} + 2 \, {\left(a b d x + a b c\right)} \arcsin\left(d x + c\right) + 2 \, \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} {\left(b^{2} \arcsin\left(d x + c\right) + a b\right)}}{d}"," ",0,"((a^2 - 2*b^2)*d*x + (b^2*d*x + b^2*c)*arcsin(d*x + c)^2 + 2*(a*b*d*x + a*b*c)*arcsin(d*x + c) + 2*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1)*(b^2*arcsin(d*x + c) + a*b))/d","A",0
193,0,0,0,0.411800," ","integrate((a+b*arcsin(d*x+c))^2/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}}{d e x + c e}, x\right)"," ",0,"integral((b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2)/(d*e*x + c*e), x)","F",0
194,0,0,0,0.437491," ","integrate((a+b*arcsin(d*x+c))^2/(d*e*x+c*e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral((b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
195,1,146,0,0.498225," ","integrate((a+b*arcsin(d*x+c))^2/(d*e*x+c*e)^3,x, algorithm=""fricas"")","-\frac{b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2} - 2 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2}\right)} \log\left(d x + c\right) + 2 \, {\left(a b d x + a b c + {\left(b^{2} d x + b^{2} c\right)} \arcsin\left(d x + c\right)\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{2 \, {\left(d^{3} e^{3} x^{2} + 2 \, c d^{2} e^{3} x + c^{2} d e^{3}\right)}}"," ",0,"-1/2*(b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2 - 2*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2)*log(d*x + c) + 2*(a*b*d*x + a*b*c + (b^2*d*x + b^2*c)*arcsin(d*x + c))*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/(d^3*e^3*x^2 + 2*c*d^2*e^3*x + c^2*d*e^3)","A",0
196,0,0,0,0.531402," ","integrate((a+b*arcsin(d*x+c))^2/(d*e*x+c*e)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}}{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}, x\right)"," ",0,"integral((b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2)/(d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4), x)","F",0
197,1,996,0,0.503548," ","integrate((d*e*x+c*e)^4*(a+b*arcsin(d*x+c))^3,x, algorithm=""fricas"")","\frac{45 \, {\left(25 \, a^{3} - 6 \, a b^{2}\right)} d^{5} e^{4} x^{5} + 225 \, {\left(25 \, a^{3} - 6 \, a b^{2}\right)} c d^{4} e^{4} x^{4} - 150 \, {\left(4 \, a b^{2} - 3 \, {\left(25 \, a^{3} - 6 \, a b^{2}\right)} c^{2}\right)} d^{3} e^{4} x^{3} - 450 \, {\left(4 \, a b^{2} c - {\left(25 \, a^{3} - 6 \, a b^{2}\right)} c^{3}\right)} d^{2} e^{4} x^{2} - 225 \, {\left(8 \, a b^{2} c^{2} - {\left(25 \, a^{3} - 6 \, a b^{2}\right)} c^{4} + 16 \, a b^{2}\right)} d e^{4} x + 1125 \, {\left(b^{3} d^{5} e^{4} x^{5} + 5 \, b^{3} c d^{4} e^{4} x^{4} + 10 \, b^{3} c^{2} d^{3} e^{4} x^{3} + 10 \, b^{3} c^{3} d^{2} e^{4} x^{2} + 5 \, b^{3} c^{4} d e^{4} x + b^{3} c^{5} e^{4}\right)} \arcsin\left(d x + c\right)^{3} + 3375 \, {\left(a b^{2} d^{5} e^{4} x^{5} + 5 \, a b^{2} c d^{4} e^{4} x^{4} + 10 \, a b^{2} c^{2} d^{3} e^{4} x^{3} + 10 \, a b^{2} c^{3} d^{2} e^{4} x^{2} + 5 \, a b^{2} c^{4} d e^{4} x + a b^{2} c^{5} e^{4}\right)} \arcsin\left(d x + c\right)^{2} + 15 \, {\left(9 \, {\left(25 \, a^{2} b - 2 \, b^{3}\right)} d^{5} e^{4} x^{5} + 45 \, {\left(25 \, a^{2} b - 2 \, b^{3}\right)} c d^{4} e^{4} x^{4} - 10 \, {\left(4 \, b^{3} - 9 \, {\left(25 \, a^{2} b - 2 \, b^{3}\right)} c^{2}\right)} d^{3} e^{4} x^{3} - 30 \, {\left(4 \, b^{3} c - 3 \, {\left(25 \, a^{2} b - 2 \, b^{3}\right)} c^{3}\right)} d^{2} e^{4} x^{2} - 15 \, {\left(8 \, b^{3} c^{2} - 3 \, {\left(25 \, a^{2} b - 2 \, b^{3}\right)} c^{4} + 16 \, b^{3}\right)} d e^{4} x - {\left(40 \, b^{3} c^{3} - 9 \, {\left(25 \, a^{2} b - 2 \, b^{3}\right)} c^{5} + 240 \, b^{3} c\right)} e^{4}\right)} \arcsin\left(d x + c\right) + {\left(27 \, {\left(25 \, a^{2} b - 2 \, b^{3}\right)} d^{4} e^{4} x^{4} + 108 \, {\left(25 \, a^{2} b - 2 \, b^{3}\right)} c d^{3} e^{4} x^{3} + 2 \, {\left(450 \, a^{2} b - 136 \, b^{3} + 81 \, {\left(25 \, a^{2} b - 2 \, b^{3}\right)} c^{2}\right)} d^{2} e^{4} x^{2} + 4 \, {\left(27 \, {\left(25 \, a^{2} b - 2 \, b^{3}\right)} c^{3} + 2 \, {\left(225 \, a^{2} b - 68 \, b^{3}\right)} c\right)} d e^{4} x + {\left(27 \, {\left(25 \, a^{2} b - 2 \, b^{3}\right)} c^{4} + 1800 \, a^{2} b - 4144 \, b^{3} + 4 \, {\left(225 \, a^{2} b - 68 \, b^{3}\right)} c^{2}\right)} e^{4} + 225 \, {\left(3 \, b^{3} d^{4} e^{4} x^{4} + 12 \, b^{3} c d^{3} e^{4} x^{3} + 2 \, {\left(9 \, b^{3} c^{2} + 2 \, b^{3}\right)} d^{2} e^{4} x^{2} + 4 \, {\left(3 \, b^{3} c^{3} + 2 \, b^{3} c\right)} d e^{4} x + {\left(3 \, b^{3} c^{4} + 4 \, b^{3} c^{2} + 8 \, b^{3}\right)} e^{4}\right)} \arcsin\left(d x + c\right)^{2} + 450 \, {\left(3 \, a b^{2} d^{4} e^{4} x^{4} + 12 \, a b^{2} c d^{3} e^{4} x^{3} + 2 \, {\left(9 \, a b^{2} c^{2} + 2 \, a b^{2}\right)} d^{2} e^{4} x^{2} + 4 \, {\left(3 \, a b^{2} c^{3} + 2 \, a b^{2} c\right)} d e^{4} x + {\left(3 \, a b^{2} c^{4} + 4 \, a b^{2} c^{2} + 8 \, a b^{2}\right)} e^{4}\right)} \arcsin\left(d x + c\right)\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{5625 \, d}"," ",0,"1/5625*(45*(25*a^3 - 6*a*b^2)*d^5*e^4*x^5 + 225*(25*a^3 - 6*a*b^2)*c*d^4*e^4*x^4 - 150*(4*a*b^2 - 3*(25*a^3 - 6*a*b^2)*c^2)*d^3*e^4*x^3 - 450*(4*a*b^2*c - (25*a^3 - 6*a*b^2)*c^3)*d^2*e^4*x^2 - 225*(8*a*b^2*c^2 - (25*a^3 - 6*a*b^2)*c^4 + 16*a*b^2)*d*e^4*x + 1125*(b^3*d^5*e^4*x^5 + 5*b^3*c*d^4*e^4*x^4 + 10*b^3*c^2*d^3*e^4*x^3 + 10*b^3*c^3*d^2*e^4*x^2 + 5*b^3*c^4*d*e^4*x + b^3*c^5*e^4)*arcsin(d*x + c)^3 + 3375*(a*b^2*d^5*e^4*x^5 + 5*a*b^2*c*d^4*e^4*x^4 + 10*a*b^2*c^2*d^3*e^4*x^3 + 10*a*b^2*c^3*d^2*e^4*x^2 + 5*a*b^2*c^4*d*e^4*x + a*b^2*c^5*e^4)*arcsin(d*x + c)^2 + 15*(9*(25*a^2*b - 2*b^3)*d^5*e^4*x^5 + 45*(25*a^2*b - 2*b^3)*c*d^4*e^4*x^4 - 10*(4*b^3 - 9*(25*a^2*b - 2*b^3)*c^2)*d^3*e^4*x^3 - 30*(4*b^3*c - 3*(25*a^2*b - 2*b^3)*c^3)*d^2*e^4*x^2 - 15*(8*b^3*c^2 - 3*(25*a^2*b - 2*b^3)*c^4 + 16*b^3)*d*e^4*x - (40*b^3*c^3 - 9*(25*a^2*b - 2*b^3)*c^5 + 240*b^3*c)*e^4)*arcsin(d*x + c) + (27*(25*a^2*b - 2*b^3)*d^4*e^4*x^4 + 108*(25*a^2*b - 2*b^3)*c*d^3*e^4*x^3 + 2*(450*a^2*b - 136*b^3 + 81*(25*a^2*b - 2*b^3)*c^2)*d^2*e^4*x^2 + 4*(27*(25*a^2*b - 2*b^3)*c^3 + 2*(225*a^2*b - 68*b^3)*c)*d*e^4*x + (27*(25*a^2*b - 2*b^3)*c^4 + 1800*a^2*b - 4144*b^3 + 4*(225*a^2*b - 68*b^3)*c^2)*e^4 + 225*(3*b^3*d^4*e^4*x^4 + 12*b^3*c*d^3*e^4*x^3 + 2*(9*b^3*c^2 + 2*b^3)*d^2*e^4*x^2 + 4*(3*b^3*c^3 + 2*b^3*c)*d*e^4*x + (3*b^3*c^4 + 4*b^3*c^2 + 8*b^3)*e^4)*arcsin(d*x + c)^2 + 450*(3*a*b^2*d^4*e^4*x^4 + 12*a*b^2*c*d^3*e^4*x^3 + 2*(9*a*b^2*c^2 + 2*a*b^2)*d^2*e^4*x^2 + 4*(3*a*b^2*c^3 + 2*a*b^2*c)*d*e^4*x + (3*a*b^2*c^4 + 4*a*b^2*c^2 + 8*a*b^2)*e^4)*arcsin(d*x + c))*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
198,1,769,0,0.623806," ","integrate((d*e*x+c*e)^3*(a+b*arcsin(d*x+c))^3,x, algorithm=""fricas"")","\frac{8 \, {\left(8 \, a^{3} - 3 \, a b^{2}\right)} d^{4} e^{3} x^{4} + 32 \, {\left(8 \, a^{3} - 3 \, a b^{2}\right)} c d^{3} e^{3} x^{3} - 24 \, {\left(3 \, a b^{2} - 2 \, {\left(8 \, a^{3} - 3 \, a b^{2}\right)} c^{2}\right)} d^{2} e^{3} x^{2} - 16 \, {\left(9 \, a b^{2} c - 2 \, {\left(8 \, a^{3} - 3 \, a b^{2}\right)} c^{3}\right)} d e^{3} x + 8 \, {\left(8 \, b^{3} d^{4} e^{3} x^{4} + 32 \, b^{3} c d^{3} e^{3} x^{3} + 48 \, b^{3} c^{2} d^{2} e^{3} x^{2} + 32 \, b^{3} c^{3} d e^{3} x + {\left(8 \, b^{3} c^{4} - 3 \, b^{3}\right)} e^{3}\right)} \arcsin\left(d x + c\right)^{3} + 24 \, {\left(8 \, a b^{2} d^{4} e^{3} x^{4} + 32 \, a b^{2} c d^{3} e^{3} x^{3} + 48 \, a b^{2} c^{2} d^{2} e^{3} x^{2} + 32 \, a b^{2} c^{3} d e^{3} x + {\left(8 \, a b^{2} c^{4} - 3 \, a b^{2}\right)} e^{3}\right)} \arcsin\left(d x + c\right)^{2} + 3 \, {\left(8 \, {\left(8 \, a^{2} b - b^{3}\right)} d^{4} e^{3} x^{4} + 32 \, {\left(8 \, a^{2} b - b^{3}\right)} c d^{3} e^{3} x^{3} - 24 \, {\left(b^{3} - 2 \, {\left(8 \, a^{2} b - b^{3}\right)} c^{2}\right)} d^{2} e^{3} x^{2} - 16 \, {\left(3 \, b^{3} c - 2 \, {\left(8 \, a^{2} b - b^{3}\right)} c^{3}\right)} d e^{3} x - {\left(24 \, b^{3} c^{2} - 8 \, {\left(8 \, a^{2} b - b^{3}\right)} c^{4} + 24 \, a^{2} b - 15 \, b^{3}\right)} e^{3}\right)} \arcsin\left(d x + c\right) + 3 \, {\left(2 \, {\left(8 \, a^{2} b - b^{3}\right)} d^{3} e^{3} x^{3} + 6 \, {\left(8 \, a^{2} b - b^{3}\right)} c d^{2} e^{3} x^{2} + 3 \, {\left(8 \, a^{2} b - 5 \, b^{3} + 2 \, {\left(8 \, a^{2} b - b^{3}\right)} c^{2}\right)} d e^{3} x + {\left(2 \, {\left(8 \, a^{2} b - b^{3}\right)} c^{3} + 3 \, {\left(8 \, a^{2} b - 5 \, b^{3}\right)} c\right)} e^{3} + 8 \, {\left(2 \, b^{3} d^{3} e^{3} x^{3} + 6 \, b^{3} c d^{2} e^{3} x^{2} + 3 \, {\left(2 \, b^{3} c^{2} + b^{3}\right)} d e^{3} x + {\left(2 \, b^{3} c^{3} + 3 \, b^{3} c\right)} e^{3}\right)} \arcsin\left(d x + c\right)^{2} + 16 \, {\left(2 \, a b^{2} d^{3} e^{3} x^{3} + 6 \, a b^{2} c d^{2} e^{3} x^{2} + 3 \, {\left(2 \, a b^{2} c^{2} + a b^{2}\right)} d e^{3} x + {\left(2 \, a b^{2} c^{3} + 3 \, a b^{2} c\right)} e^{3}\right)} \arcsin\left(d x + c\right)\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{256 \, d}"," ",0,"1/256*(8*(8*a^3 - 3*a*b^2)*d^4*e^3*x^4 + 32*(8*a^3 - 3*a*b^2)*c*d^3*e^3*x^3 - 24*(3*a*b^2 - 2*(8*a^3 - 3*a*b^2)*c^2)*d^2*e^3*x^2 - 16*(9*a*b^2*c - 2*(8*a^3 - 3*a*b^2)*c^3)*d*e^3*x + 8*(8*b^3*d^4*e^3*x^4 + 32*b^3*c*d^3*e^3*x^3 + 48*b^3*c^2*d^2*e^3*x^2 + 32*b^3*c^3*d*e^3*x + (8*b^3*c^4 - 3*b^3)*e^3)*arcsin(d*x + c)^3 + 24*(8*a*b^2*d^4*e^3*x^4 + 32*a*b^2*c*d^3*e^3*x^3 + 48*a*b^2*c^2*d^2*e^3*x^2 + 32*a*b^2*c^3*d*e^3*x + (8*a*b^2*c^4 - 3*a*b^2)*e^3)*arcsin(d*x + c)^2 + 3*(8*(8*a^2*b - b^3)*d^4*e^3*x^4 + 32*(8*a^2*b - b^3)*c*d^3*e^3*x^3 - 24*(b^3 - 2*(8*a^2*b - b^3)*c^2)*d^2*e^3*x^2 - 16*(3*b^3*c - 2*(8*a^2*b - b^3)*c^3)*d*e^3*x - (24*b^3*c^2 - 8*(8*a^2*b - b^3)*c^4 + 24*a^2*b - 15*b^3)*e^3)*arcsin(d*x + c) + 3*(2*(8*a^2*b - b^3)*d^3*e^3*x^3 + 6*(8*a^2*b - b^3)*c*d^2*e^3*x^2 + 3*(8*a^2*b - 5*b^3 + 2*(8*a^2*b - b^3)*c^2)*d*e^3*x + (2*(8*a^2*b - b^3)*c^3 + 3*(8*a^2*b - 5*b^3)*c)*e^3 + 8*(2*b^3*d^3*e^3*x^3 + 6*b^3*c*d^2*e^3*x^2 + 3*(2*b^3*c^2 + b^3)*d*e^3*x + (2*b^3*c^3 + 3*b^3*c)*e^3)*arcsin(d*x + c)^2 + 16*(2*a*b^2*d^3*e^3*x^3 + 6*a*b^2*c*d^2*e^3*x^2 + 3*(2*a*b^2*c^2 + a*b^2)*d*e^3*x + (2*a*b^2*c^3 + 3*a*b^2*c)*e^3)*arcsin(d*x + c))*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
199,1,530,0,0.529772," ","integrate((d*e*x+c*e)^2*(a+b*arcsin(d*x+c))^3,x, algorithm=""fricas"")","\frac{3 \, {\left(3 \, a^{3} - 2 \, a b^{2}\right)} d^{3} e^{2} x^{3} + 9 \, {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c d^{2} e^{2} x^{2} - 9 \, {\left(4 \, a b^{2} - {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{2}\right)} d e^{2} x + 9 \, {\left(b^{3} d^{3} e^{2} x^{3} + 3 \, b^{3} c d^{2} e^{2} x^{2} + 3 \, b^{3} c^{2} d e^{2} x + b^{3} c^{3} e^{2}\right)} \arcsin\left(d x + c\right)^{3} + 27 \, {\left(a b^{2} d^{3} e^{2} x^{3} + 3 \, a b^{2} c d^{2} e^{2} x^{2} + 3 \, a b^{2} c^{2} d e^{2} x + a b^{2} c^{3} e^{2}\right)} \arcsin\left(d x + c\right)^{2} + 3 \, {\left({\left(9 \, a^{2} b - 2 \, b^{3}\right)} d^{3} e^{2} x^{3} + 3 \, {\left(9 \, a^{2} b - 2 \, b^{3}\right)} c d^{2} e^{2} x^{2} - 3 \, {\left(4 \, b^{3} - {\left(9 \, a^{2} b - 2 \, b^{3}\right)} c^{2}\right)} d e^{2} x - {\left(12 \, b^{3} c - {\left(9 \, a^{2} b - 2 \, b^{3}\right)} c^{3}\right)} e^{2}\right)} \arcsin\left(d x + c\right) + {\left({\left(9 \, a^{2} b - 2 \, b^{3}\right)} d^{2} e^{2} x^{2} + 2 \, {\left(9 \, a^{2} b - 2 \, b^{3}\right)} c d e^{2} x + {\left(18 \, a^{2} b - 40 \, b^{3} + {\left(9 \, a^{2} b - 2 \, b^{3}\right)} c^{2}\right)} e^{2} + 9 \, {\left(b^{3} d^{2} e^{2} x^{2} + 2 \, b^{3} c d e^{2} x + {\left(b^{3} c^{2} + 2 \, b^{3}\right)} e^{2}\right)} \arcsin\left(d x + c\right)^{2} + 18 \, {\left(a b^{2} d^{2} e^{2} x^{2} + 2 \, a b^{2} c d e^{2} x + {\left(a b^{2} c^{2} + 2 \, a b^{2}\right)} e^{2}\right)} \arcsin\left(d x + c\right)\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{27 \, d}"," ",0,"1/27*(3*(3*a^3 - 2*a*b^2)*d^3*e^2*x^3 + 9*(3*a^3 - 2*a*b^2)*c*d^2*e^2*x^2 - 9*(4*a*b^2 - (3*a^3 - 2*a*b^2)*c^2)*d*e^2*x + 9*(b^3*d^3*e^2*x^3 + 3*b^3*c*d^2*e^2*x^2 + 3*b^3*c^2*d*e^2*x + b^3*c^3*e^2)*arcsin(d*x + c)^3 + 27*(a*b^2*d^3*e^2*x^3 + 3*a*b^2*c*d^2*e^2*x^2 + 3*a*b^2*c^2*d*e^2*x + a*b^2*c^3*e^2)*arcsin(d*x + c)^2 + 3*((9*a^2*b - 2*b^3)*d^3*e^2*x^3 + 3*(9*a^2*b - 2*b^3)*c*d^2*e^2*x^2 - 3*(4*b^3 - (9*a^2*b - 2*b^3)*c^2)*d*e^2*x - (12*b^3*c - (9*a^2*b - 2*b^3)*c^3)*e^2)*arcsin(d*x + c) + ((9*a^2*b - 2*b^3)*d^2*e^2*x^2 + 2*(9*a^2*b - 2*b^3)*c*d*e^2*x + (18*a^2*b - 40*b^3 + (9*a^2*b - 2*b^3)*c^2)*e^2 + 9*(b^3*d^2*e^2*x^2 + 2*b^3*c*d*e^2*x + (b^3*c^2 + 2*b^3)*e^2)*arcsin(d*x + c)^2 + 18*(a*b^2*d^2*e^2*x^2 + 2*a*b^2*c*d*e^2*x + (a*b^2*c^2 + 2*a*b^2)*e^2)*arcsin(d*x + c))*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
200,1,329,0,0.439762," ","integrate((d*e*x+c*e)*(a+b*arcsin(d*x+c))^3,x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} d^{2} e x^{2} + 4 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c d e x + 2 \, {\left(2 \, b^{3} d^{2} e x^{2} + 4 \, b^{3} c d e x + {\left(2 \, b^{3} c^{2} - b^{3}\right)} e\right)} \arcsin\left(d x + c\right)^{3} + 6 \, {\left(2 \, a b^{2} d^{2} e x^{2} + 4 \, a b^{2} c d e x + {\left(2 \, a b^{2} c^{2} - a b^{2}\right)} e\right)} \arcsin\left(d x + c\right)^{2} + 3 \, {\left(2 \, {\left(2 \, a^{2} b - b^{3}\right)} d^{2} e x^{2} + 4 \, {\left(2 \, a^{2} b - b^{3}\right)} c d e x - {\left(2 \, a^{2} b - b^{3} - 2 \, {\left(2 \, a^{2} b - b^{3}\right)} c^{2}\right)} e\right)} \arcsin\left(d x + c\right) + 3 \, {\left({\left(2 \, a^{2} b - b^{3}\right)} d e x + {\left(2 \, a^{2} b - b^{3}\right)} c e + 2 \, {\left(b^{3} d e x + b^{3} c e\right)} \arcsin\left(d x + c\right)^{2} + 4 \, {\left(a b^{2} d e x + a b^{2} c e\right)} \arcsin\left(d x + c\right)\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{8 \, d}"," ",0,"1/8*(2*(2*a^3 - 3*a*b^2)*d^2*e*x^2 + 4*(2*a^3 - 3*a*b^2)*c*d*e*x + 2*(2*b^3*d^2*e*x^2 + 4*b^3*c*d*e*x + (2*b^3*c^2 - b^3)*e)*arcsin(d*x + c)^3 + 6*(2*a*b^2*d^2*e*x^2 + 4*a*b^2*c*d*e*x + (2*a*b^2*c^2 - a*b^2)*e)*arcsin(d*x + c)^2 + 3*(2*(2*a^2*b - b^3)*d^2*e*x^2 + 4*(2*a^2*b - b^3)*c*d*e*x - (2*a^2*b - b^3 - 2*(2*a^2*b - b^3)*c^2)*e)*arcsin(d*x + c) + 3*((2*a^2*b - b^3)*d*e*x + (2*a^2*b - b^3)*c*e + 2*(b^3*d*e*x + b^3*c*e)*arcsin(d*x + c)^2 + 4*(a*b^2*d*e*x + a*b^2*c*e)*arcsin(d*x + c))*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
201,1,158,0,0.429053," ","integrate((a+b*arcsin(d*x+c))^3,x, algorithm=""fricas"")","\frac{{\left(b^{3} d x + b^{3} c\right)} \arcsin\left(d x + c\right)^{3} + {\left(a^{3} - 6 \, a b^{2}\right)} d x + 3 \, {\left(a b^{2} d x + a b^{2} c\right)} \arcsin\left(d x + c\right)^{2} + 3 \, {\left({\left(a^{2} b - 2 \, b^{3}\right)} d x + {\left(a^{2} b - 2 \, b^{3}\right)} c\right)} \arcsin\left(d x + c\right) + 3 \, {\left(b^{3} \arcsin\left(d x + c\right)^{2} + 2 \, a b^{2} \arcsin\left(d x + c\right) + a^{2} b - 2 \, b^{3}\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{d}"," ",0,"((b^3*d*x + b^3*c)*arcsin(d*x + c)^3 + (a^3 - 6*a*b^2)*d*x + 3*(a*b^2*d*x + a*b^2*c)*arcsin(d*x + c)^2 + 3*((a^2*b - 2*b^3)*d*x + (a^2*b - 2*b^3)*c)*arcsin(d*x + c) + 3*(b^3*arcsin(d*x + c)^2 + 2*a*b^2*arcsin(d*x + c) + a^2*b - 2*b^3)*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","A",0
202,0,0,0,0.412030," ","integrate((a+b*arcsin(d*x+c))^3/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{2} \arcsin\left(d x + c\right)^{2} + 3 \, a^{2} b \arcsin\left(d x + c\right) + a^{3}}{d e x + c e}, x\right)"," ",0,"integral((b^3*arcsin(d*x + c)^3 + 3*a*b^2*arcsin(d*x + c)^2 + 3*a^2*b*arcsin(d*x + c) + a^3)/(d*e*x + c*e), x)","F",0
203,0,0,0,0.433865," ","integrate((a+b*arcsin(d*x+c))^3/(d*e*x+c*e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{2} \arcsin\left(d x + c\right)^{2} + 3 \, a^{2} b \arcsin\left(d x + c\right) + a^{3}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral((b^3*arcsin(d*x + c)^3 + 3*a*b^2*arcsin(d*x + c)^2 + 3*a^2*b*arcsin(d*x + c) + a^3)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
204,0,0,0,0.491821," ","integrate((a+b*arcsin(d*x+c))^3/(d*e*x+c*e)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{2} \arcsin\left(d x + c\right)^{2} + 3 \, a^{2} b \arcsin\left(d x + c\right) + a^{3}}{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}, x\right)"," ",0,"integral((b^3*arcsin(d*x + c)^3 + 3*a*b^2*arcsin(d*x + c)^2 + 3*a^2*b*arcsin(d*x + c) + a^3)/(d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3), x)","F",0
205,0,0,0,0.473458," ","integrate((a+b*arcsin(d*x+c))^3/(d*e*x+c*e)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{2} \arcsin\left(d x + c\right)^{2} + 3 \, a^{2} b \arcsin\left(d x + c\right) + a^{3}}{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}, x\right)"," ",0,"integral((b^3*arcsin(d*x + c)^3 + 3*a*b^2*arcsin(d*x + c)^2 + 3*a^2*b*arcsin(d*x + c) + a^3)/(d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4), x)","F",0
206,1,1148,0,0.505762," ","integrate((d*e*x+c*e)^3*(a+b*arcsin(d*x+c))^4,x, algorithm=""fricas"")","\frac{{\left(32 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} d^{4} e^{3} x^{4} + 4 \, {\left(32 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} c d^{3} e^{3} x^{3} - 3 \, {\left(24 \, a^{2} b^{2} - 15 \, b^{4} - 2 \, {\left(32 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2}\right)} d^{2} e^{3} x^{2} + 2 \, {\left(2 \, {\left(32 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{3} - 9 \, {\left(8 \, a^{2} b^{2} - 5 \, b^{4}\right)} c\right)} d e^{3} x + 4 \, {\left(8 \, b^{4} d^{4} e^{3} x^{4} + 32 \, b^{4} c d^{3} e^{3} x^{3} + 48 \, b^{4} c^{2} d^{2} e^{3} x^{2} + 32 \, b^{4} c^{3} d e^{3} x + {\left(8 \, b^{4} c^{4} - 3 \, b^{4}\right)} e^{3}\right)} \arcsin\left(d x + c\right)^{4} + 16 \, {\left(8 \, a b^{3} d^{4} e^{3} x^{4} + 32 \, a b^{3} c d^{3} e^{3} x^{3} + 48 \, a b^{3} c^{2} d^{2} e^{3} x^{2} + 32 \, a b^{3} c^{3} d e^{3} x + {\left(8 \, a b^{3} c^{4} - 3 \, a b^{3}\right)} e^{3}\right)} \arcsin\left(d x + c\right)^{3} + 3 \, {\left(8 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} d^{4} e^{3} x^{4} + 32 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} c d^{3} e^{3} x^{3} - 24 \, {\left(b^{4} - 2 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{2}\right)} d^{2} e^{3} x^{2} - 16 \, {\left(3 \, b^{4} c - 2 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{3}\right)} d e^{3} x - {\left(24 \, b^{4} c^{2} - 8 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{4} + 24 \, a^{2} b^{2} - 15 \, b^{4}\right)} e^{3}\right)} \arcsin\left(d x + c\right)^{2} + 2 \, {\left(8 \, {\left(8 \, a^{3} b - 3 \, a b^{3}\right)} d^{4} e^{3} x^{4} + 32 \, {\left(8 \, a^{3} b - 3 \, a b^{3}\right)} c d^{3} e^{3} x^{3} - 24 \, {\left(3 \, a b^{3} - 2 \, {\left(8 \, a^{3} b - 3 \, a b^{3}\right)} c^{2}\right)} d^{2} e^{3} x^{2} - 16 \, {\left(9 \, a b^{3} c - 2 \, {\left(8 \, a^{3} b - 3 \, a b^{3}\right)} c^{3}\right)} d e^{3} x - {\left(72 \, a b^{3} c^{2} - 8 \, {\left(8 \, a^{3} b - 3 \, a b^{3}\right)} c^{4} + 24 \, a^{3} b - 45 \, a b^{3}\right)} e^{3}\right)} \arcsin\left(d x + c\right) + 2 \, {\left(2 \, {\left(8 \, a^{3} b - 3 \, a b^{3}\right)} d^{3} e^{3} x^{3} + 6 \, {\left(8 \, a^{3} b - 3 \, a b^{3}\right)} c d^{2} e^{3} x^{2} + 3 \, {\left(8 \, a^{3} b - 15 \, a b^{3} + 2 \, {\left(8 \, a^{3} b - 3 \, a b^{3}\right)} c^{2}\right)} d e^{3} x + {\left(2 \, {\left(8 \, a^{3} b - 3 \, a b^{3}\right)} c^{3} + 3 \, {\left(8 \, a^{3} b - 15 \, a b^{3}\right)} c\right)} e^{3} + 8 \, {\left(2 \, b^{4} d^{3} e^{3} x^{3} + 6 \, b^{4} c d^{2} e^{3} x^{2} + 3 \, {\left(2 \, b^{4} c^{2} + b^{4}\right)} d e^{3} x + {\left(2 \, b^{4} c^{3} + 3 \, b^{4} c\right)} e^{3}\right)} \arcsin\left(d x + c\right)^{3} + 24 \, {\left(2 \, a b^{3} d^{3} e^{3} x^{3} + 6 \, a b^{3} c d^{2} e^{3} x^{2} + 3 \, {\left(2 \, a b^{3} c^{2} + a b^{3}\right)} d e^{3} x + {\left(2 \, a b^{3} c^{3} + 3 \, a b^{3} c\right)} e^{3}\right)} \arcsin\left(d x + c\right)^{2} + 3 \, {\left(2 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} d^{3} e^{3} x^{3} + 6 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} c d^{2} e^{3} x^{2} + 3 \, {\left(8 \, a^{2} b^{2} - 5 \, b^{4} + 2 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{2}\right)} d e^{3} x + {\left(2 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{3} + 3 \, {\left(8 \, a^{2} b^{2} - 5 \, b^{4}\right)} c\right)} e^{3}\right)} \arcsin\left(d x + c\right)\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{128 \, d}"," ",0,"1/128*((32*a^4 - 24*a^2*b^2 + 3*b^4)*d^4*e^3*x^4 + 4*(32*a^4 - 24*a^2*b^2 + 3*b^4)*c*d^3*e^3*x^3 - 3*(24*a^2*b^2 - 15*b^4 - 2*(32*a^4 - 24*a^2*b^2 + 3*b^4)*c^2)*d^2*e^3*x^2 + 2*(2*(32*a^4 - 24*a^2*b^2 + 3*b^4)*c^3 - 9*(8*a^2*b^2 - 5*b^4)*c)*d*e^3*x + 4*(8*b^4*d^4*e^3*x^4 + 32*b^4*c*d^3*e^3*x^3 + 48*b^4*c^2*d^2*e^3*x^2 + 32*b^4*c^3*d*e^3*x + (8*b^4*c^4 - 3*b^4)*e^3)*arcsin(d*x + c)^4 + 16*(8*a*b^3*d^4*e^3*x^4 + 32*a*b^3*c*d^3*e^3*x^3 + 48*a*b^3*c^2*d^2*e^3*x^2 + 32*a*b^3*c^3*d*e^3*x + (8*a*b^3*c^4 - 3*a*b^3)*e^3)*arcsin(d*x + c)^3 + 3*(8*(8*a^2*b^2 - b^4)*d^4*e^3*x^4 + 32*(8*a^2*b^2 - b^4)*c*d^3*e^3*x^3 - 24*(b^4 - 2*(8*a^2*b^2 - b^4)*c^2)*d^2*e^3*x^2 - 16*(3*b^4*c - 2*(8*a^2*b^2 - b^4)*c^3)*d*e^3*x - (24*b^4*c^2 - 8*(8*a^2*b^2 - b^4)*c^4 + 24*a^2*b^2 - 15*b^4)*e^3)*arcsin(d*x + c)^2 + 2*(8*(8*a^3*b - 3*a*b^3)*d^4*e^3*x^4 + 32*(8*a^3*b - 3*a*b^3)*c*d^3*e^3*x^3 - 24*(3*a*b^3 - 2*(8*a^3*b - 3*a*b^3)*c^2)*d^2*e^3*x^2 - 16*(9*a*b^3*c - 2*(8*a^3*b - 3*a*b^3)*c^3)*d*e^3*x - (72*a*b^3*c^2 - 8*(8*a^3*b - 3*a*b^3)*c^4 + 24*a^3*b - 45*a*b^3)*e^3)*arcsin(d*x + c) + 2*(2*(8*a^3*b - 3*a*b^3)*d^3*e^3*x^3 + 6*(8*a^3*b - 3*a*b^3)*c*d^2*e^3*x^2 + 3*(8*a^3*b - 15*a*b^3 + 2*(8*a^3*b - 3*a*b^3)*c^2)*d*e^3*x + (2*(8*a^3*b - 3*a*b^3)*c^3 + 3*(8*a^3*b - 15*a*b^3)*c)*e^3 + 8*(2*b^4*d^3*e^3*x^3 + 6*b^4*c*d^2*e^3*x^2 + 3*(2*b^4*c^2 + b^4)*d*e^3*x + (2*b^4*c^3 + 3*b^4*c)*e^3)*arcsin(d*x + c)^3 + 24*(2*a*b^3*d^3*e^3*x^3 + 6*a*b^3*c*d^2*e^3*x^2 + 3*(2*a*b^3*c^2 + a*b^3)*d*e^3*x + (2*a*b^3*c^3 + 3*a*b^3*c)*e^3)*arcsin(d*x + c)^2 + 3*(2*(8*a^2*b^2 - b^4)*d^3*e^3*x^3 + 6*(8*a^2*b^2 - b^4)*c*d^2*e^3*x^2 + 3*(8*a^2*b^2 - 5*b^4 + 2*(8*a^2*b^2 - b^4)*c^2)*d*e^3*x + (2*(8*a^2*b^2 - b^4)*c^3 + 3*(8*a^2*b^2 - 5*b^4)*c)*e^3)*arcsin(d*x + c))*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
207,1,784,0,0.558965," ","integrate((d*e*x+c*e)^2*(a+b*arcsin(d*x+c))^4,x, algorithm=""fricas"")","\frac{{\left(27 \, a^{4} - 36 \, a^{2} b^{2} + 8 \, b^{4}\right)} d^{3} e^{2} x^{3} + 3 \, {\left(27 \, a^{4} - 36 \, a^{2} b^{2} + 8 \, b^{4}\right)} c d^{2} e^{2} x^{2} - 3 \, {\left(72 \, a^{2} b^{2} - 160 \, b^{4} - {\left(27 \, a^{4} - 36 \, a^{2} b^{2} + 8 \, b^{4}\right)} c^{2}\right)} d e^{2} x + 27 \, {\left(b^{4} d^{3} e^{2} x^{3} + 3 \, b^{4} c d^{2} e^{2} x^{2} + 3 \, b^{4} c^{2} d e^{2} x + b^{4} c^{3} e^{2}\right)} \arcsin\left(d x + c\right)^{4} + 108 \, {\left(a b^{3} d^{3} e^{2} x^{3} + 3 \, a b^{3} c d^{2} e^{2} x^{2} + 3 \, a b^{3} c^{2} d e^{2} x + a b^{3} c^{3} e^{2}\right)} \arcsin\left(d x + c\right)^{3} + 18 \, {\left({\left(9 \, a^{2} b^{2} - 2 \, b^{4}\right)} d^{3} e^{2} x^{3} + 3 \, {\left(9 \, a^{2} b^{2} - 2 \, b^{4}\right)} c d^{2} e^{2} x^{2} - 3 \, {\left(4 \, b^{4} - {\left(9 \, a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}\right)} d e^{2} x - {\left(12 \, b^{4} c - {\left(9 \, a^{2} b^{2} - 2 \, b^{4}\right)} c^{3}\right)} e^{2}\right)} \arcsin\left(d x + c\right)^{2} + 36 \, {\left({\left(3 \, a^{3} b - 2 \, a b^{3}\right)} d^{3} e^{2} x^{3} + 3 \, {\left(3 \, a^{3} b - 2 \, a b^{3}\right)} c d^{2} e^{2} x^{2} - 3 \, {\left(4 \, a b^{3} - {\left(3 \, a^{3} b - 2 \, a b^{3}\right)} c^{2}\right)} d e^{2} x - {\left(12 \, a b^{3} c - {\left(3 \, a^{3} b - 2 \, a b^{3}\right)} c^{3}\right)} e^{2}\right)} \arcsin\left(d x + c\right) + 12 \, {\left({\left(3 \, a^{3} b - 2 \, a b^{3}\right)} d^{2} e^{2} x^{2} + 2 \, {\left(3 \, a^{3} b - 2 \, a b^{3}\right)} c d e^{2} x + 3 \, {\left(b^{4} d^{2} e^{2} x^{2} + 2 \, b^{4} c d e^{2} x + {\left(b^{4} c^{2} + 2 \, b^{4}\right)} e^{2}\right)} \arcsin\left(d x + c\right)^{3} + {\left(6 \, a^{3} b - 40 \, a b^{3} + {\left(3 \, a^{3} b - 2 \, a b^{3}\right)} c^{2}\right)} e^{2} + 9 \, {\left(a b^{3} d^{2} e^{2} x^{2} + 2 \, a b^{3} c d e^{2} x + {\left(a b^{3} c^{2} + 2 \, a b^{3}\right)} e^{2}\right)} \arcsin\left(d x + c\right)^{2} + {\left({\left(9 \, a^{2} b^{2} - 2 \, b^{4}\right)} d^{2} e^{2} x^{2} + 2 \, {\left(9 \, a^{2} b^{2} - 2 \, b^{4}\right)} c d e^{2} x + {\left(18 \, a^{2} b^{2} - 40 \, b^{4} + {\left(9 \, a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}\right)} e^{2}\right)} \arcsin\left(d x + c\right)\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{81 \, d}"," ",0,"1/81*((27*a^4 - 36*a^2*b^2 + 8*b^4)*d^3*e^2*x^3 + 3*(27*a^4 - 36*a^2*b^2 + 8*b^4)*c*d^2*e^2*x^2 - 3*(72*a^2*b^2 - 160*b^4 - (27*a^4 - 36*a^2*b^2 + 8*b^4)*c^2)*d*e^2*x + 27*(b^4*d^3*e^2*x^3 + 3*b^4*c*d^2*e^2*x^2 + 3*b^4*c^2*d*e^2*x + b^4*c^3*e^2)*arcsin(d*x + c)^4 + 108*(a*b^3*d^3*e^2*x^3 + 3*a*b^3*c*d^2*e^2*x^2 + 3*a*b^3*c^2*d*e^2*x + a*b^3*c^3*e^2)*arcsin(d*x + c)^3 + 18*((9*a^2*b^2 - 2*b^4)*d^3*e^2*x^3 + 3*(9*a^2*b^2 - 2*b^4)*c*d^2*e^2*x^2 - 3*(4*b^4 - (9*a^2*b^2 - 2*b^4)*c^2)*d*e^2*x - (12*b^4*c - (9*a^2*b^2 - 2*b^4)*c^3)*e^2)*arcsin(d*x + c)^2 + 36*((3*a^3*b - 2*a*b^3)*d^3*e^2*x^3 + 3*(3*a^3*b - 2*a*b^3)*c*d^2*e^2*x^2 - 3*(4*a*b^3 - (3*a^3*b - 2*a*b^3)*c^2)*d*e^2*x - (12*a*b^3*c - (3*a^3*b - 2*a*b^3)*c^3)*e^2)*arcsin(d*x + c) + 12*((3*a^3*b - 2*a*b^3)*d^2*e^2*x^2 + 2*(3*a^3*b - 2*a*b^3)*c*d*e^2*x + 3*(b^4*d^2*e^2*x^2 + 2*b^4*c*d*e^2*x + (b^4*c^2 + 2*b^4)*e^2)*arcsin(d*x + c)^3 + (6*a^3*b - 40*a*b^3 + (3*a^3*b - 2*a*b^3)*c^2)*e^2 + 9*(a*b^3*d^2*e^2*x^2 + 2*a*b^3*c*d*e^2*x + (a*b^3*c^2 + 2*a*b^3)*e^2)*arcsin(d*x + c)^2 + ((9*a^2*b^2 - 2*b^4)*d^2*e^2*x^2 + 2*(9*a^2*b^2 - 2*b^4)*c*d*e^2*x + (18*a^2*b^2 - 40*b^4 + (9*a^2*b^2 - 2*b^4)*c^2)*e^2)*arcsin(d*x + c))*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
208,1,483,0,0.455972," ","integrate((d*e*x+c*e)*(a+b*arcsin(d*x+c))^4,x, algorithm=""fricas"")","\frac{{\left(2 \, a^{4} - 6 \, a^{2} b^{2} + 3 \, b^{4}\right)} d^{2} e x^{2} + 2 \, {\left(2 \, a^{4} - 6 \, a^{2} b^{2} + 3 \, b^{4}\right)} c d e x + {\left(2 \, b^{4} d^{2} e x^{2} + 4 \, b^{4} c d e x + {\left(2 \, b^{4} c^{2} - b^{4}\right)} e\right)} \arcsin\left(d x + c\right)^{4} + 4 \, {\left(2 \, a b^{3} d^{2} e x^{2} + 4 \, a b^{3} c d e x + {\left(2 \, a b^{3} c^{2} - a b^{3}\right)} e\right)} \arcsin\left(d x + c\right)^{3} + 3 \, {\left(2 \, {\left(2 \, a^{2} b^{2} - b^{4}\right)} d^{2} e x^{2} + 4 \, {\left(2 \, a^{2} b^{2} - b^{4}\right)} c d e x - {\left(2 \, a^{2} b^{2} - b^{4} - 2 \, {\left(2 \, a^{2} b^{2} - b^{4}\right)} c^{2}\right)} e\right)} \arcsin\left(d x + c\right)^{2} + 2 \, {\left(2 \, {\left(2 \, a^{3} b - 3 \, a b^{3}\right)} d^{2} e x^{2} + 4 \, {\left(2 \, a^{3} b - 3 \, a b^{3}\right)} c d e x - {\left(2 \, a^{3} b - 3 \, a b^{3} - 2 \, {\left(2 \, a^{3} b - 3 \, a b^{3}\right)} c^{2}\right)} e\right)} \arcsin\left(d x + c\right) + 2 \, {\left({\left(2 \, a^{3} b - 3 \, a b^{3}\right)} d e x + 2 \, {\left(b^{4} d e x + b^{4} c e\right)} \arcsin\left(d x + c\right)^{3} + {\left(2 \, a^{3} b - 3 \, a b^{3}\right)} c e + 6 \, {\left(a b^{3} d e x + a b^{3} c e\right)} \arcsin\left(d x + c\right)^{2} + 3 \, {\left({\left(2 \, a^{2} b^{2} - b^{4}\right)} d e x + {\left(2 \, a^{2} b^{2} - b^{4}\right)} c e\right)} \arcsin\left(d x + c\right)\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{4 \, d}"," ",0,"1/4*((2*a^4 - 6*a^2*b^2 + 3*b^4)*d^2*e*x^2 + 2*(2*a^4 - 6*a^2*b^2 + 3*b^4)*c*d*e*x + (2*b^4*d^2*e*x^2 + 4*b^4*c*d*e*x + (2*b^4*c^2 - b^4)*e)*arcsin(d*x + c)^4 + 4*(2*a*b^3*d^2*e*x^2 + 4*a*b^3*c*d*e*x + (2*a*b^3*c^2 - a*b^3)*e)*arcsin(d*x + c)^3 + 3*(2*(2*a^2*b^2 - b^4)*d^2*e*x^2 + 4*(2*a^2*b^2 - b^4)*c*d*e*x - (2*a^2*b^2 - b^4 - 2*(2*a^2*b^2 - b^4)*c^2)*e)*arcsin(d*x + c)^2 + 2*(2*(2*a^3*b - 3*a*b^3)*d^2*e*x^2 + 4*(2*a^3*b - 3*a*b^3)*c*d*e*x - (2*a^3*b - 3*a*b^3 - 2*(2*a^3*b - 3*a*b^3)*c^2)*e)*arcsin(d*x + c) + 2*((2*a^3*b - 3*a*b^3)*d*e*x + 2*(b^4*d*e*x + b^4*c*e)*arcsin(d*x + c)^3 + (2*a^3*b - 3*a*b^3)*c*e + 6*(a*b^3*d*e*x + a*b^3*c*e)*arcsin(d*x + c)^2 + 3*((2*a^2*b^2 - b^4)*d*e*x + (2*a^2*b^2 - b^4)*c*e)*arcsin(d*x + c))*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
209,1,233,0,0.503052," ","integrate((a+b*arcsin(d*x+c))^4,x, algorithm=""fricas"")","\frac{{\left(b^{4} d x + b^{4} c\right)} \arcsin\left(d x + c\right)^{4} + 4 \, {\left(a b^{3} d x + a b^{3} c\right)} \arcsin\left(d x + c\right)^{3} + {\left(a^{4} - 12 \, a^{2} b^{2} + 24 \, b^{4}\right)} d x + 6 \, {\left({\left(a^{2} b^{2} - 2 \, b^{4}\right)} d x + {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c\right)} \arcsin\left(d x + c\right)^{2} + 4 \, {\left({\left(a^{3} b - 6 \, a b^{3}\right)} d x + {\left(a^{3} b - 6 \, a b^{3}\right)} c\right)} \arcsin\left(d x + c\right) + 4 \, {\left(b^{4} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{3} \arcsin\left(d x + c\right)^{2} + a^{3} b - 6 \, a b^{3} + 3 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} \arcsin\left(d x + c\right)\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{d}"," ",0,"((b^4*d*x + b^4*c)*arcsin(d*x + c)^4 + 4*(a*b^3*d*x + a*b^3*c)*arcsin(d*x + c)^3 + (a^4 - 12*a^2*b^2 + 24*b^4)*d*x + 6*((a^2*b^2 - 2*b^4)*d*x + (a^2*b^2 - 2*b^4)*c)*arcsin(d*x + c)^2 + 4*((a^3*b - 6*a*b^3)*d*x + (a^3*b - 6*a*b^3)*c)*arcsin(d*x + c) + 4*(b^4*arcsin(d*x + c)^3 + 3*a*b^3*arcsin(d*x + c)^2 + a^3*b - 6*a*b^3 + 3*(a^2*b^2 - 2*b^4)*arcsin(d*x + c))*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
210,0,0,0,0.553785," ","integrate((a+b*arcsin(d*x+c))^4/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{3} \arcsin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \arcsin\left(d x + c\right)^{2} + 4 \, a^{3} b \arcsin\left(d x + c\right) + a^{4}}{d e x + c e}, x\right)"," ",0,"integral((b^4*arcsin(d*x + c)^4 + 4*a*b^3*arcsin(d*x + c)^3 + 6*a^2*b^2*arcsin(d*x + c)^2 + 4*a^3*b*arcsin(d*x + c) + a^4)/(d*e*x + c*e), x)","F",0
211,0,0,0,0.445483," ","integrate((a+b*arcsin(d*x+c))^4/(d*e*x+c*e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{3} \arcsin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \arcsin\left(d x + c\right)^{2} + 4 \, a^{3} b \arcsin\left(d x + c\right) + a^{4}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral((b^4*arcsin(d*x + c)^4 + 4*a*b^3*arcsin(d*x + c)^3 + 6*a^2*b^2*arcsin(d*x + c)^2 + 4*a^3*b*arcsin(d*x + c) + a^4)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
212,0,0,0,0.501956," ","integrate((a+b*arcsin(d*x+c))^4/(d*e*x+c*e)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{3} \arcsin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \arcsin\left(d x + c\right)^{2} + 4 \, a^{3} b \arcsin\left(d x + c\right) + a^{4}}{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}, x\right)"," ",0,"integral((b^4*arcsin(d*x + c)^4 + 4*a*b^3*arcsin(d*x + c)^3 + 6*a^2*b^2*arcsin(d*x + c)^2 + 4*a^3*b*arcsin(d*x + c) + a^4)/(d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3), x)","F",0
213,0,0,0,0.465133," ","integrate((a+b*arcsin(d*x+c))^4/(d*e*x+c*e)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{3} \arcsin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \arcsin\left(d x + c\right)^{2} + 4 \, a^{3} b \arcsin\left(d x + c\right) + a^{4}}{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}, x\right)"," ",0,"integral((b^4*arcsin(d*x + c)^4 + 4*a*b^3*arcsin(d*x + c)^3 + 6*a^2*b^2*arcsin(d*x + c)^2 + 4*a^3*b*arcsin(d*x + c) + a^4)/(d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4), x)","F",0
214,1,323,0,0.444844," ","integrate((a+b*arcsin(d*x+c))^5,x, algorithm=""fricas"")","\frac{{\left(b^{5} d x + b^{5} c\right)} \arcsin\left(d x + c\right)^{5} + 5 \, {\left(a b^{4} d x + a b^{4} c\right)} \arcsin\left(d x + c\right)^{4} + 10 \, {\left({\left(a^{2} b^{3} - 2 \, b^{5}\right)} d x + {\left(a^{2} b^{3} - 2 \, b^{5}\right)} c\right)} \arcsin\left(d x + c\right)^{3} + {\left(a^{5} - 20 \, a^{3} b^{2} + 120 \, a b^{4}\right)} d x + 10 \, {\left({\left(a^{3} b^{2} - 6 \, a b^{4}\right)} d x + {\left(a^{3} b^{2} - 6 \, a b^{4}\right)} c\right)} \arcsin\left(d x + c\right)^{2} + 5 \, {\left({\left(a^{4} b - 12 \, a^{2} b^{3} + 24 \, b^{5}\right)} d x + {\left(a^{4} b - 12 \, a^{2} b^{3} + 24 \, b^{5}\right)} c\right)} \arcsin\left(d x + c\right) + 5 \, {\left(b^{5} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{4} \arcsin\left(d x + c\right)^{3} + a^{4} b - 12 \, a^{2} b^{3} + 24 \, b^{5} + 6 \, {\left(a^{2} b^{3} - 2 \, b^{5}\right)} \arcsin\left(d x + c\right)^{2} + 4 \, {\left(a^{3} b^{2} - 6 \, a b^{4}\right)} \arcsin\left(d x + c\right)\right)} \sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}{d}"," ",0,"((b^5*d*x + b^5*c)*arcsin(d*x + c)^5 + 5*(a*b^4*d*x + a*b^4*c)*arcsin(d*x + c)^4 + 10*((a^2*b^3 - 2*b^5)*d*x + (a^2*b^3 - 2*b^5)*c)*arcsin(d*x + c)^3 + (a^5 - 20*a^3*b^2 + 120*a*b^4)*d*x + 10*((a^3*b^2 - 6*a*b^4)*d*x + (a^3*b^2 - 6*a*b^4)*c)*arcsin(d*x + c)^2 + 5*((a^4*b - 12*a^2*b^3 + 24*b^5)*d*x + (a^4*b - 12*a^2*b^3 + 24*b^5)*c)*arcsin(d*x + c) + 5*(b^5*arcsin(d*x + c)^4 + 4*a*b^4*arcsin(d*x + c)^3 + a^4*b - 12*a^2*b^3 + 24*b^5 + 6*(a^2*b^3 - 2*b^5)*arcsin(d*x + c)^2 + 4*(a^3*b^2 - 6*a*b^4)*arcsin(d*x + c))*sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1))/d","B",0
215,0,0,0,0.402706," ","integrate((d*e*x+c*e)^4/(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}{b \arcsin\left(d x + c\right) + a}, x\right)"," ",0,"integral((d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4)/(b*arcsin(d*x + c) + a), x)","F",0
216,0,0,0,0.470634," ","integrate((d*e*x+c*e)^3/(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}{b \arcsin\left(d x + c\right) + a}, x\right)"," ",0,"integral((d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3)/(b*arcsin(d*x + c) + a), x)","F",0
217,0,0,0,0.538105," ","integrate((d*e*x+c*e)^2/(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}{b \arcsin\left(d x + c\right) + a}, x\right)"," ",0,"integral((d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2)/(b*arcsin(d*x + c) + a), x)","F",0
218,0,0,0,0.505333," ","integrate((d*e*x+c*e)/(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d e x + c e}{b \arcsin\left(d x + c\right) + a}, x\right)"," ",0,"integral((d*e*x + c*e)/(b*arcsin(d*x + c) + a), x)","F",0
219,0,0,0,0.526052," ","integrate(1/(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \arcsin\left(d x + c\right) + a}, x\right)"," ",0,"integral(1/(b*arcsin(d*x + c) + a), x)","F",0
220,0,0,0,0.528416," ","integrate(1/(d*e*x+c*e)/(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a d e x + a c e + {\left(b d e x + b c e\right)} \arcsin\left(d x + c\right)}, x\right)"," ",0,"integral(1/(a*d*e*x + a*c*e + (b*d*e*x + b*c*e)*arcsin(d*x + c)), x)","F",0
221,0,0,0,0.565958," ","integrate((d*e*x+c*e)^4/(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}{b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral((d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4)/(b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2), x)","F",0
222,0,0,0,0.577122," ","integrate((d*e*x+c*e)^3/(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}{b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral((d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3)/(b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2), x)","F",0
223,0,0,0,0.519203," ","integrate((d*e*x+c*e)^2/(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}{b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral((d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2)/(b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2), x)","F",0
224,0,0,0,0.459694," ","integrate((d*e*x+c*e)/(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d e x + c e}{b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral((d*e*x + c*e)/(b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2), x)","F",0
225,0,0,0,0.483865," ","integrate(1/(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral(1/(b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2), x)","F",0
226,0,0,0,0.405257," ","integrate(1/(d*e*x+c*e)/(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} d e x + a^{2} c e + {\left(b^{2} d e x + b^{2} c e\right)} \arcsin\left(d x + c\right)^{2} + 2 \, {\left(a b d e x + a b c e\right)} \arcsin\left(d x + c\right)}, x\right)"," ",0,"integral(1/(a^2*d*e*x + a^2*c*e + (b^2*d*e*x + b^2*c*e)*arcsin(d*x + c)^2 + 2*(a*b*d*e*x + a*b*c*e)*arcsin(d*x + c)), x)","F",0
227,0,0,0,0.463268," ","integrate((d*e*x+c*e)^4/(a+b*arcsin(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}{b^{3} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{2} \arcsin\left(d x + c\right)^{2} + 3 \, a^{2} b \arcsin\left(d x + c\right) + a^{3}}, x\right)"," ",0,"integral((d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4)/(b^3*arcsin(d*x + c)^3 + 3*a*b^2*arcsin(d*x + c)^2 + 3*a^2*b*arcsin(d*x + c) + a^3), x)","F",0
228,0,0,0,0.414005," ","integrate((d*e*x+c*e)^3/(a+b*arcsin(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}{b^{3} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{2} \arcsin\left(d x + c\right)^{2} + 3 \, a^{2} b \arcsin\left(d x + c\right) + a^{3}}, x\right)"," ",0,"integral((d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3)/(b^3*arcsin(d*x + c)^3 + 3*a*b^2*arcsin(d*x + c)^2 + 3*a^2*b*arcsin(d*x + c) + a^3), x)","F",0
229,0,0,0,0.417566," ","integrate((d*e*x+c*e)^2/(a+b*arcsin(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}{b^{3} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{2} \arcsin\left(d x + c\right)^{2} + 3 \, a^{2} b \arcsin\left(d x + c\right) + a^{3}}, x\right)"," ",0,"integral((d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2)/(b^3*arcsin(d*x + c)^3 + 3*a*b^2*arcsin(d*x + c)^2 + 3*a^2*b*arcsin(d*x + c) + a^3), x)","F",0
230,0,0,0,0.613039," ","integrate((d*e*x+c*e)/(a+b*arcsin(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d e x + c e}{b^{3} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{2} \arcsin\left(d x + c\right)^{2} + 3 \, a^{2} b \arcsin\left(d x + c\right) + a^{3}}, x\right)"," ",0,"integral((d*e*x + c*e)/(b^3*arcsin(d*x + c)^3 + 3*a*b^2*arcsin(d*x + c)^2 + 3*a^2*b*arcsin(d*x + c) + a^3), x)","F",0
231,0,0,0,0.532542," ","integrate(1/(a+b*arcsin(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{3} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{2} \arcsin\left(d x + c\right)^{2} + 3 \, a^{2} b \arcsin\left(d x + c\right) + a^{3}}, x\right)"," ",0,"integral(1/(b^3*arcsin(d*x + c)^3 + 3*a*b^2*arcsin(d*x + c)^2 + 3*a^2*b*arcsin(d*x + c) + a^3), x)","F",0
232,0,0,0,1.217421," ","integrate(1/(d*e*x+c*e)/(a+b*arcsin(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{3} d e x + a^{3} c e + {\left(b^{3} d e x + b^{3} c e\right)} \arcsin\left(d x + c\right)^{3} + 3 \, {\left(a b^{2} d e x + a b^{2} c e\right)} \arcsin\left(d x + c\right)^{2} + 3 \, {\left(a^{2} b d e x + a^{2} b c e\right)} \arcsin\left(d x + c\right)}, x\right)"," ",0,"integral(1/(a^3*d*e*x + a^3*c*e + (b^3*d*e*x + b^3*c*e)*arcsin(d*x + c)^3 + 3*(a*b^2*d*e*x + a*b^2*c*e)*arcsin(d*x + c)^2 + 3*(a^2*b*d*e*x + a^2*b*c*e)*arcsin(d*x + c)), x)","F",0
233,0,0,0,0.742900," ","integrate((d*e*x+c*e)^4/(a+b*arcsin(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}{b^{4} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{3} \arcsin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \arcsin\left(d x + c\right)^{2} + 4 \, a^{3} b \arcsin\left(d x + c\right) + a^{4}}, x\right)"," ",0,"integral((d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4)/(b^4*arcsin(d*x + c)^4 + 4*a*b^3*arcsin(d*x + c)^3 + 6*a^2*b^2*arcsin(d*x + c)^2 + 4*a^3*b*arcsin(d*x + c) + a^4), x)","F",0
234,0,0,0,1.048943," ","integrate((d*e*x+c*e)^3/(a+b*arcsin(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}{b^{4} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{3} \arcsin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \arcsin\left(d x + c\right)^{2} + 4 \, a^{3} b \arcsin\left(d x + c\right) + a^{4}}, x\right)"," ",0,"integral((d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3)/(b^4*arcsin(d*x + c)^4 + 4*a*b^3*arcsin(d*x + c)^3 + 6*a^2*b^2*arcsin(d*x + c)^2 + 4*a^3*b*arcsin(d*x + c) + a^4), x)","F",0
235,0,0,0,0.467116," ","integrate((d*e*x+c*e)^2/(a+b*arcsin(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}{b^{4} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{3} \arcsin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \arcsin\left(d x + c\right)^{2} + 4 \, a^{3} b \arcsin\left(d x + c\right) + a^{4}}, x\right)"," ",0,"integral((d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2)/(b^4*arcsin(d*x + c)^4 + 4*a*b^3*arcsin(d*x + c)^3 + 6*a^2*b^2*arcsin(d*x + c)^2 + 4*a^3*b*arcsin(d*x + c) + a^4), x)","F",0
236,0,0,0,0.442508," ","integrate((d*e*x+c*e)/(a+b*arcsin(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d e x + c e}{b^{4} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{3} \arcsin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \arcsin\left(d x + c\right)^{2} + 4 \, a^{3} b \arcsin\left(d x + c\right) + a^{4}}, x\right)"," ",0,"integral((d*e*x + c*e)/(b^4*arcsin(d*x + c)^4 + 4*a*b^3*arcsin(d*x + c)^3 + 6*a^2*b^2*arcsin(d*x + c)^2 + 4*a^3*b*arcsin(d*x + c) + a^4), x)","F",0
237,0,0,0,0.531286," ","integrate(1/(a+b*arcsin(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{4} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{3} \arcsin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \arcsin\left(d x + c\right)^{2} + 4 \, a^{3} b \arcsin\left(d x + c\right) + a^{4}}, x\right)"," ",0,"integral(1/(b^4*arcsin(d*x + c)^4 + 4*a*b^3*arcsin(d*x + c)^3 + 6*a^2*b^2*arcsin(d*x + c)^2 + 4*a^3*b*arcsin(d*x + c) + a^4), x)","F",0
238,0,0,0,0.474815," ","integrate(1/(d*e*x+c*e)/(a+b*arcsin(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{4} d e x + a^{4} c e + {\left(b^{4} d e x + b^{4} c e\right)} \arcsin\left(d x + c\right)^{4} + 4 \, {\left(a b^{3} d e x + a b^{3} c e\right)} \arcsin\left(d x + c\right)^{3} + 6 \, {\left(a^{2} b^{2} d e x + a^{2} b^{2} c e\right)} \arcsin\left(d x + c\right)^{2} + 4 \, {\left(a^{3} b d e x + a^{3} b c e\right)} \arcsin\left(d x + c\right)}, x\right)"," ",0,"integral(1/(a^4*d*e*x + a^4*c*e + (b^4*d*e*x + b^4*c*e)*arcsin(d*x + c)^4 + 4*(a*b^3*d*e*x + a*b^3*c*e)*arcsin(d*x + c)^3 + 6*(a^2*b^2*d*e*x + a^2*b^2*c*e)*arcsin(d*x + c)^2 + 4*(a^3*b*d*e*x + a^3*b*c*e)*arcsin(d*x + c)), x)","F",0
239,0,0,0,0.424129," ","integrate(1/(a+b*arcsin(d*x+c))^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{5} \arcsin\left(d x + c\right)^{5} + 5 \, a b^{4} \arcsin\left(d x + c\right)^{4} + 10 \, a^{2} b^{3} \arcsin\left(d x + c\right)^{3} + 10 \, a^{3} b^{2} \arcsin\left(d x + c\right)^{2} + 5 \, a^{4} b \arcsin\left(d x + c\right) + a^{5}}, x\right)"," ",0,"integral(1/(b^5*arcsin(d*x + c)^5 + 5*a*b^4*arcsin(d*x + c)^4 + 10*a^2*b^3*arcsin(d*x + c)^3 + 10*a^3*b^2*arcsin(d*x + c)^2 + 5*a^4*b*arcsin(d*x + c) + a^5), x)","F",0
240,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
241,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
242,-2,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
243,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
244,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x+c))^(1/2)/(d*e*x+c*e),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
245,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arcsin(d*x+c))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
246,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arcsin(d*x+c))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
247,-2,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arcsin(d*x+c))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
248,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x+c))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
249,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x+c))^(3/2)/(d*e*x+c*e),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
250,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arcsin(d*x+c))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
251,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arcsin(d*x+c))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
252,-2,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arcsin(d*x+c))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
253,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x+c))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
254,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x+c))^(5/2)/(d*e*x+c*e),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
255,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arcsin(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
256,-2,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arcsin(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
257,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
258,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x+c))^(7/2)/(d*e*x+c*e),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
259,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
260,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
261,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
262,-2,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
263,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
264,-2,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arcsin(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
265,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arcsin(d*x+c))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
266,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arcsin(d*x+c))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
267,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arcsin(d*x+c))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
268,-2,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arcsin(d*x+c))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
269,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x+c))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
270,-2,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arcsin(d*x+c))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
271,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arcsin(d*x+c))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
272,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arcsin(d*x+c))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
273,-2,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arcsin(d*x+c))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
274,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x+c))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
275,-2,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arcsin(d*x+c))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
276,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arcsin(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
277,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arcsin(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
278,-2,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arcsin(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
279,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
280,-2,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arcsin(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
281,0,0,0,0.538995," ","integrate((d*e*x+c*e)^(7/2)*(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a d^{3} e^{3} x^{3} + 3 \, a c d^{2} e^{3} x^{2} + 3 \, a c^{2} d e^{3} x + a c^{3} e^{3} + {\left(b d^{3} e^{3} x^{3} + 3 \, b c d^{2} e^{3} x^{2} + 3 \, b c^{2} d e^{3} x + b c^{3} e^{3}\right)} \arcsin\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a*d^3*e^3*x^3 + 3*a*c*d^2*e^3*x^2 + 3*a*c^2*d*e^3*x + a*c^3*e^3 + (b*d^3*e^3*x^3 + 3*b*c*d^2*e^3*x^2 + 3*b*c^2*d*e^3*x + b*c^3*e^3)*arcsin(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
282,0,0,0,0.571007," ","integrate((d*e*x+c*e)^(5/2)*(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a d^{2} e^{2} x^{2} + 2 \, a c d e^{2} x + a c^{2} e^{2} + {\left(b d^{2} e^{2} x^{2} + 2 \, b c d e^{2} x + b c^{2} e^{2}\right)} \arcsin\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a*d^2*e^2*x^2 + 2*a*c*d*e^2*x + a*c^2*e^2 + (b*d^2*e^2*x^2 + 2*b*c*d*e^2*x + b*c^2*e^2)*arcsin(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
283,0,0,0,0.716049," ","integrate((d*e*x+c*e)^(3/2)*(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a d e x + a c e + {\left(b d e x + b c e\right)} \arcsin\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a*d*e*x + a*c*e + (b*d*e*x + b*c*e)*arcsin(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
284,0,0,0,0.455013," ","integrate((d*e*x+c*e)^(1/2)*(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d e x + c e} {\left(b \arcsin\left(d x + c\right) + a\right)}, x\right)"," ",0,"integral(sqrt(d*e*x + c*e)*(b*arcsin(d*x + c) + a), x)","F",0
285,0,0,0,0.442558," ","integrate((a+b*arcsin(d*x+c))/(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \arcsin\left(d x + c\right) + a}{\sqrt{d e x + c e}}, x\right)"," ",0,"integral((b*arcsin(d*x + c) + a)/sqrt(d*e*x + c*e), x)","F",0
286,0,0,0,0.449051," ","integrate((a+b*arcsin(d*x+c))/(d*e*x+c*e)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d e x + c e} {\left(b \arcsin\left(d x + c\right) + a\right)}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral(sqrt(d*e*x + c*e)*(b*arcsin(d*x + c) + a)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
287,0,0,0,0.445869," ","integrate((a+b*arcsin(d*x+c))/(d*e*x+c*e)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d e x + c e} {\left(b \arcsin\left(d x + c\right) + a\right)}}{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}, x\right)"," ",0,"integral(sqrt(d*e*x + c*e)*(b*arcsin(d*x + c) + a)/(d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3), x)","F",0
288,0,0,0,0.483839," ","integrate((a+b*arcsin(d*x+c))/(d*e*x+c*e)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d e x + c e} {\left(b \arcsin\left(d x + c\right) + a\right)}}{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}, x\right)"," ",0,"integral(sqrt(d*e*x + c*e)*(b*arcsin(d*x + c) + a)/(d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4), x)","F",0
289,0,0,0,0.456365," ","integrate((a+b*arcsin(d*x+c))/(d*e*x+c*e)^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d e x + c e} {\left(b \arcsin\left(d x + c\right) + a\right)}}{d^{5} e^{5} x^{5} + 5 \, c d^{4} e^{5} x^{4} + 10 \, c^{2} d^{3} e^{5} x^{3} + 10 \, c^{3} d^{2} e^{5} x^{2} + 5 \, c^{4} d e^{5} x + c^{5} e^{5}}, x\right)"," ",0,"integral(sqrt(d*e*x + c*e)*(b*arcsin(d*x + c) + a)/(d^5*e^5*x^5 + 5*c*d^4*e^5*x^4 + 10*c^2*d^3*e^5*x^3 + 10*c^3*d^2*e^5*x^2 + 5*c^4*d*e^5*x + c^5*e^5), x)","F",0
290,0,0,0,0.506845," ","integrate((a+b*arcsin(d*x+c))/(d*e*x+c*e)^(11/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d e x + c e} {\left(b \arcsin\left(d x + c\right) + a\right)}}{d^{6} e^{6} x^{6} + 6 \, c d^{5} e^{6} x^{5} + 15 \, c^{2} d^{4} e^{6} x^{4} + 20 \, c^{3} d^{3} e^{6} x^{3} + 15 \, c^{4} d^{2} e^{6} x^{2} + 6 \, c^{5} d e^{6} x + c^{6} e^{6}}, x\right)"," ",0,"integral(sqrt(d*e*x + c*e)*(b*arcsin(d*x + c) + a)/(d^6*e^6*x^6 + 6*c*d^5*e^6*x^5 + 15*c^2*d^4*e^6*x^4 + 20*c^3*d^3*e^6*x^3 + 15*c^4*d^2*e^6*x^2 + 6*c^5*d*e^6*x + c^6*e^6), x)","F",0
291,0,0,0,0.477485," ","integrate((d*e*x+c*e)^(7/2)*(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} d^{3} e^{3} x^{3} + 3 \, a^{2} c d^{2} e^{3} x^{2} + 3 \, a^{2} c^{2} d e^{3} x + a^{2} c^{3} e^{3} + {\left(b^{2} d^{3} e^{3} x^{3} + 3 \, b^{2} c d^{2} e^{3} x^{2} + 3 \, b^{2} c^{2} d e^{3} x + b^{2} c^{3} e^{3}\right)} \arcsin\left(d x + c\right)^{2} + 2 \, {\left(a b d^{3} e^{3} x^{3} + 3 \, a b c d^{2} e^{3} x^{2} + 3 \, a b c^{2} d e^{3} x + a b c^{3} e^{3}\right)} \arcsin\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a^2*d^3*e^3*x^3 + 3*a^2*c*d^2*e^3*x^2 + 3*a^2*c^2*d*e^3*x + a^2*c^3*e^3 + (b^2*d^3*e^3*x^3 + 3*b^2*c*d^2*e^3*x^2 + 3*b^2*c^2*d*e^3*x + b^2*c^3*e^3)*arcsin(d*x + c)^2 + 2*(a*b*d^3*e^3*x^3 + 3*a*b*c*d^2*e^3*x^2 + 3*a*b*c^2*d*e^3*x + a*b*c^3*e^3)*arcsin(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
292,0,0,0,0.452494," ","integrate((d*e*x+c*e)^(5/2)*(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} d^{2} e^{2} x^{2} + 2 \, a^{2} c d e^{2} x + a^{2} c^{2} e^{2} + {\left(b^{2} d^{2} e^{2} x^{2} + 2 \, b^{2} c d e^{2} x + b^{2} c^{2} e^{2}\right)} \arcsin\left(d x + c\right)^{2} + 2 \, {\left(a b d^{2} e^{2} x^{2} + 2 \, a b c d e^{2} x + a b c^{2} e^{2}\right)} \arcsin\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a^2*d^2*e^2*x^2 + 2*a^2*c*d*e^2*x + a^2*c^2*e^2 + (b^2*d^2*e^2*x^2 + 2*b^2*c*d*e^2*x + b^2*c^2*e^2)*arcsin(d*x + c)^2 + 2*(a*b*d^2*e^2*x^2 + 2*a*b*c*d*e^2*x + a*b*c^2*e^2)*arcsin(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
293,0,0,0,0.454149," ","integrate((d*e*x+c*e)^(3/2)*(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} d e x + a^{2} c e + {\left(b^{2} d e x + b^{2} c e\right)} \arcsin\left(d x + c\right)^{2} + 2 \, {\left(a b d e x + a b c e\right)} \arcsin\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a^2*d*e*x + a^2*c*e + (b^2*d*e*x + b^2*c*e)*arcsin(d*x + c)^2 + 2*(a*b*d*e*x + a*b*c*e)*arcsin(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
294,0,0,0,0.467839," ","integrate((d*e*x+c*e)^(1/2)*(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2)*sqrt(d*e*x + c*e), x)","F",0
295,0,0,0,0.485380," ","integrate((a+b*arcsin(d*x+c))^2/(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}}{\sqrt{d e x + c e}}, x\right)"," ",0,"integral((b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2)/sqrt(d*e*x + c*e), x)","F",0
296,0,0,0,0.479700," ","integrate((a+b*arcsin(d*x+c))^2/(d*e*x+c*e)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}\right)} \sqrt{d e x + c e}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral((b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2)*sqrt(d*e*x + c*e)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
297,0,0,0,0.619021," ","integrate((a+b*arcsin(d*x+c))^2/(d*e*x+c*e)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}\right)} \sqrt{d e x + c e}}{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}, x\right)"," ",0,"integral((b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2)*sqrt(d*e*x + c*e)/(d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3), x)","F",0
298,0,0,0,0.527241," ","integrate((a+b*arcsin(d*x+c))^2/(d*e*x+c*e)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}\right)} \sqrt{d e x + c e}}{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}, x\right)"," ",0,"integral((b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2)*sqrt(d*e*x + c*e)/(d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4), x)","F",0
299,0,0,0,0.483563," ","integrate((a+b*arcsin(d*x+c))^2/(d*e*x+c*e)^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}\right)} \sqrt{d e x + c e}}{d^{5} e^{5} x^{5} + 5 \, c d^{4} e^{5} x^{4} + 10 \, c^{2} d^{3} e^{5} x^{3} + 10 \, c^{3} d^{2} e^{5} x^{2} + 5 \, c^{4} d e^{5} x + c^{5} e^{5}}, x\right)"," ",0,"integral((b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2)*sqrt(d*e*x + c*e)/(d^5*e^5*x^5 + 5*c*d^4*e^5*x^4 + 10*c^2*d^3*e^5*x^3 + 10*c^3*d^2*e^5*x^2 + 5*c^4*d*e^5*x + c^5*e^5), x)","F",0
300,0,0,0,0.515147," ","integrate((d*e*x+c*e)^(1/2)*(a+b*arcsin(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{2} \arcsin\left(d x + c\right)^{2} + 3 \, a^{2} b \arcsin\left(d x + c\right) + a^{3}\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((b^3*arcsin(d*x + c)^3 + 3*a*b^2*arcsin(d*x + c)^2 + 3*a^2*b*arcsin(d*x + c) + a^3)*sqrt(d*e*x + c*e), x)","F",0
301,0,0,0,0.535178," ","integrate((a+b*arcsin(d*x+c))^3/(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{2} \arcsin\left(d x + c\right)^{2} + 3 \, a^{2} b \arcsin\left(d x + c\right) + a^{3}}{\sqrt{d e x + c e}}, x\right)"," ",0,"integral((b^3*arcsin(d*x + c)^3 + 3*a*b^2*arcsin(d*x + c)^2 + 3*a^2*b*arcsin(d*x + c) + a^3)/sqrt(d*e*x + c*e), x)","F",0
302,0,0,0,0.463040," ","integrate((a+b*arcsin(d*x+c))^3/(d*e*x+c*e)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{2} \arcsin\left(d x + c\right)^{2} + 3 \, a^{2} b \arcsin\left(d x + c\right) + a^{3}\right)} \sqrt{d e x + c e}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral((b^3*arcsin(d*x + c)^3 + 3*a*b^2*arcsin(d*x + c)^2 + 3*a^2*b*arcsin(d*x + c) + a^3)*sqrt(d*e*x + c*e)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
303,0,0,0,0.501709," ","integrate((a+b*arcsin(d*x+c))^3/(d*e*x+c*e)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{2} \arcsin\left(d x + c\right)^{2} + 3 \, a^{2} b \arcsin\left(d x + c\right) + a^{3}\right)} \sqrt{d e x + c e}}{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}, x\right)"," ",0,"integral((b^3*arcsin(d*x + c)^3 + 3*a*b^2*arcsin(d*x + c)^2 + 3*a^2*b*arcsin(d*x + c) + a^3)*sqrt(d*e*x + c*e)/(d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3), x)","F",0
304,0,0,0,0.474644," ","integrate((d*e*x+c*e)^(1/2)*(a+b*arcsin(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{4} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{3} \arcsin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \arcsin\left(d x + c\right)^{2} + 4 \, a^{3} b \arcsin\left(d x + c\right) + a^{4}\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((b^4*arcsin(d*x + c)^4 + 4*a*b^3*arcsin(d*x + c)^3 + 6*a^2*b^2*arcsin(d*x + c)^2 + 4*a^3*b*arcsin(d*x + c) + a^4)*sqrt(d*e*x + c*e), x)","F",0
305,0,0,0,0.448277," ","integrate((a+b*arcsin(d*x+c))^4/(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{3} \arcsin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \arcsin\left(d x + c\right)^{2} + 4 \, a^{3} b \arcsin\left(d x + c\right) + a^{4}}{\sqrt{d e x + c e}}, x\right)"," ",0,"integral((b^4*arcsin(d*x + c)^4 + 4*a*b^3*arcsin(d*x + c)^3 + 6*a^2*b^2*arcsin(d*x + c)^2 + 4*a^3*b*arcsin(d*x + c) + a^4)/sqrt(d*e*x + c*e), x)","F",0
306,0,0,0,0.471693," ","integrate((a+b*arcsin(d*x+c))^4/(d*e*x+c*e)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{4} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{3} \arcsin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \arcsin\left(d x + c\right)^{2} + 4 \, a^{3} b \arcsin\left(d x + c\right) + a^{4}\right)} \sqrt{d e x + c e}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral((b^4*arcsin(d*x + c)^4 + 4*a*b^3*arcsin(d*x + c)^3 + 6*a^2*b^2*arcsin(d*x + c)^2 + 4*a^3*b*arcsin(d*x + c) + a^4)*sqrt(d*e*x + c*e)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
307,0,0,0,0.510894," ","integrate((a+b*arcsin(d*x+c))^4/(d*e*x+c*e)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{4} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{3} \arcsin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \arcsin\left(d x + c\right)^{2} + 4 \, a^{3} b \arcsin\left(d x + c\right) + a^{4}\right)} \sqrt{d e x + c e}}{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}, x\right)"," ",0,"integral((b^4*arcsin(d*x + c)^4 + 4*a*b^3*arcsin(d*x + c)^3 + 6*a^2*b^2*arcsin(d*x + c)^2 + 4*a^3*b*arcsin(d*x + c) + a^4)*sqrt(d*e*x + c*e)/(d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3), x)","F",0
308,0,0,0,0.617527," ","integrate((d*e*x+c*e)^m*(a+b*arcsin(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{4} \arcsin\left(d x + c\right)^{4} + 4 \, a b^{3} \arcsin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \arcsin\left(d x + c\right)^{2} + 4 \, a^{3} b \arcsin\left(d x + c\right) + a^{4}\right)} {\left(d e x + c e\right)}^{m}, x\right)"," ",0,"integral((b^4*arcsin(d*x + c)^4 + 4*a*b^3*arcsin(d*x + c)^3 + 6*a^2*b^2*arcsin(d*x + c)^2 + 4*a^3*b*arcsin(d*x + c) + a^4)*(d*e*x + c*e)^m, x)","F",0
309,0,0,0,0.676837," ","integrate((d*e*x+c*e)^m*(a+b*arcsin(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} \arcsin\left(d x + c\right)^{3} + 3 \, a b^{2} \arcsin\left(d x + c\right)^{2} + 3 \, a^{2} b \arcsin\left(d x + c\right) + a^{3}\right)} {\left(d e x + c e\right)}^{m}, x\right)"," ",0,"integral((b^3*arcsin(d*x + c)^3 + 3*a*b^2*arcsin(d*x + c)^2 + 3*a^2*b*arcsin(d*x + c) + a^3)*(d*e*x + c*e)^m, x)","F",0
310,0,0,0,0.510281," ","integrate((d*e*x+c*e)^m*(a+b*arcsin(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \arcsin\left(d x + c\right)^{2} + 2 \, a b \arcsin\left(d x + c\right) + a^{2}\right)} {\left(d e x + c e\right)}^{m}, x\right)"," ",0,"integral((b^2*arcsin(d*x + c)^2 + 2*a*b*arcsin(d*x + c) + a^2)*(d*e*x + c*e)^m, x)","F",0
311,0,0,0,0.489893," ","integrate((d*e*x+c*e)^m*(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \arcsin\left(d x + c\right) + a\right)} {\left(d e x + c e\right)}^{m}, x\right)"," ",0,"integral((b*arcsin(d*x + c) + a)*(d*e*x + c*e)^m, x)","F",0
312,0,0,0,0.539344," ","integrate((d*e*x+c*e)^m/(a+b*arcsin(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d e x + c e\right)}^{m}}{b \arcsin\left(d x + c\right) + a}, x\right)"," ",0,"integral((d*e*x + c*e)^m/(b*arcsin(d*x + c) + a), x)","F",0
313,1,110,0,0.557804," ","integrate(arcsin(b*x+a)^3*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2),x, algorithm=""fricas"")","\frac{3 \, b^{2} x^{2} + \arcsin\left(b x + a\right)^{4} + 6 \, a b x - 3 \, {\left(2 \, b^{2} x^{2} + 4 \, a b x + 2 \, a^{2} - 1\right)} \arcsin\left(b x + a\right)^{2} + 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(2 \, {\left(b x + a\right)} \arcsin\left(b x + a\right)^{3} - 3 \, {\left(b x + a\right)} \arcsin\left(b x + a\right)\right)}}{8 \, b}"," ",0,"1/8*(3*b^2*x^2 + arcsin(b*x + a)^4 + 6*a*b*x - 3*(2*b^2*x^2 + 4*a*b*x + 2*a^2 - 1)*arcsin(b*x + a)^2 + 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(2*(b*x + a)*arcsin(b*x + a)^3 - 3*(b*x + a)*arcsin(b*x + a)))/b","A",0
314,1,91,0,0.553918," ","integrate(arcsin(b*x+a)^2*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \arcsin\left(b x + a\right)^{3} - 3 \, {\left(2 \, b^{2} x^{2} + 4 \, a b x + 2 \, a^{2} - 1\right)} \arcsin\left(b x + a\right) + 3 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(2 \, {\left(b x + a\right)} \arcsin\left(b x + a\right)^{2} - b x - a\right)}}{12 \, b}"," ",0,"1/12*(2*arcsin(b*x + a)^3 - 3*(2*b^2*x^2 + 4*a*b*x + 2*a^2 - 1)*arcsin(b*x + a) + 3*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(2*(b*x + a)*arcsin(b*x + a)^2 - b*x - a))/b","A",0
315,1,63,0,0.439834," ","integrate(arcsin(b*x+a)*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{b^{2} x^{2} + 2 \, a b x - 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(b x + a\right)} \arcsin\left(b x + a\right) - \arcsin\left(b x + a\right)^{2}}{4 \, b}"," ",0,"-1/4*(b^2*x^2 + 2*a*b*x - 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(b*x + a)*arcsin(b*x + a) - arcsin(b*x + a)^2)/b","A",0
316,0,0,0,0.422248," ","integrate((-b^2*x^2-2*a*b*x-a^2+1)^(1/2)/arcsin(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{\arcsin\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)/arcsin(b*x + a), x)","F",0
317,0,0,0,0.415383," ","integrate((-b^2*x^2-2*a*b*x-a^2+1)^(1/2)/arcsin(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{\arcsin\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)/arcsin(b*x + a)^2, x)","F",0
318,0,0,0,0.442937," ","integrate((-b^2*x^2-2*a*b*x-a^2+1)^(1/2)/arcsin(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{\arcsin\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)/arcsin(b*x + a)^3, x)","F",0
319,0,0,0,0.485409," ","integrate((-b^2*x^2-2*a*b*x-a^2+1)^(1/2)/arcsin(b*x+a)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{\arcsin\left(b x + a\right)^{4}}, x\right)"," ",0,"integral(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)/arcsin(b*x + a)^4, x)","F",0
320,1,243,0,0.567274," ","integrate((-b^2*x^2-2*a*b*x-a^2+1)^(3/2)*arcsin(b*x+a)^3,x, algorithm=""fricas"")","-\frac{3 \, b^{4} x^{4} + 12 \, a b^{3} x^{3} + 3 \, {\left(6 \, a^{2} - 17\right)} b^{2} x^{2} - 12 \, \arcsin\left(b x + a\right)^{4} + 6 \, {\left(2 \, a^{3} - 17 \, a\right)} b x - 3 \, {\left(8 \, b^{4} x^{4} + 32 \, a b^{3} x^{3} + 8 \, {\left(6 \, a^{2} - 5\right)} b^{2} x^{2} + 8 \, a^{4} + 16 \, {\left(2 \, a^{3} - 5 \, a\right)} b x - 40 \, a^{2} + 17\right)} \arcsin\left(b x + a\right)^{2} + 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(8 \, {\left(2 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} + 2 \, a^{3} + {\left(6 \, a^{2} - 5\right)} b x - 5 \, a\right)} \arcsin\left(b x + a\right)^{3} - 3 \, {\left(2 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} + 2 \, a^{3} + {\left(6 \, a^{2} - 17\right)} b x - 17 \, a\right)} \arcsin\left(b x + a\right)\right)}}{128 \, b}"," ",0,"-1/128*(3*b^4*x^4 + 12*a*b^3*x^3 + 3*(6*a^2 - 17)*b^2*x^2 - 12*arcsin(b*x + a)^4 + 6*(2*a^3 - 17*a)*b*x - 3*(8*b^4*x^4 + 32*a*b^3*x^3 + 8*(6*a^2 - 5)*b^2*x^2 + 8*a^4 + 16*(2*a^3 - 5*a)*b*x - 40*a^2 + 17)*arcsin(b*x + a)^2 + 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(8*(2*b^3*x^3 + 6*a*b^2*x^2 + 2*a^3 + (6*a^2 - 5)*b*x - 5*a)*arcsin(b*x + a)^3 - 3*(2*b^3*x^3 + 6*a*b^2*x^2 + 2*a^3 + (6*a^2 - 17)*b*x - 17*a)*arcsin(b*x + a)))/b","A",0
321,1,185,0,0.584982," ","integrate((-b^2*x^2-2*a*b*x-a^2+1)^(3/2)*arcsin(b*x+a)^2,x, algorithm=""fricas"")","\frac{8 \, \arcsin\left(b x + a\right)^{3} + {\left(8 \, b^{4} x^{4} + 32 \, a b^{3} x^{3} + 8 \, {\left(6 \, a^{2} - 5\right)} b^{2} x^{2} + 8 \, a^{4} + 16 \, {\left(2 \, a^{3} - 5 \, a\right)} b x - 40 \, a^{2} + 17\right)} \arcsin\left(b x + a\right) + {\left(2 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} + 2 \, a^{3} + {\left(6 \, a^{2} - 17\right)} b x - 8 \, {\left(2 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} + 2 \, a^{3} + {\left(6 \, a^{2} - 5\right)} b x - 5 \, a\right)} \arcsin\left(b x + a\right)^{2} - 17 \, a\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{64 \, b}"," ",0,"1/64*(8*arcsin(b*x + a)^3 + (8*b^4*x^4 + 32*a*b^3*x^3 + 8*(6*a^2 - 5)*b^2*x^2 + 8*a^4 + 16*(2*a^3 - 5*a)*b*x - 40*a^2 + 17)*arcsin(b*x + a) + (2*b^3*x^3 + 6*a*b^2*x^2 + 2*a^3 + (6*a^2 - 17)*b*x - 8*(2*b^3*x^3 + 6*a*b^2*x^2 + 2*a^3 + (6*a^2 - 5)*b*x - 5*a)*arcsin(b*x + a)^2 - 17*a)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))/b","A",0
322,1,125,0,0.605075," ","integrate((-b^2*x^2-2*a*b*x-a^2+1)^(3/2)*arcsin(b*x+a),x, algorithm=""fricas"")","\frac{b^{4} x^{4} + 4 \, a b^{3} x^{3} + {\left(6 \, a^{2} - 5\right)} b^{2} x^{2} + 2 \, {\left(2 \, a^{3} - 5 \, a\right)} b x - 2 \, {\left(2 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} + 2 \, a^{3} + {\left(6 \, a^{2} - 5\right)} b x - 5 \, a\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} \arcsin\left(b x + a\right) + 3 \, \arcsin\left(b x + a\right)^{2}}{16 \, b}"," ",0,"1/16*(b^4*x^4 + 4*a*b^3*x^3 + (6*a^2 - 5)*b^2*x^2 + 2*(2*a^3 - 5*a)*b*x - 2*(2*b^3*x^3 + 6*a*b^2*x^2 + 2*a^3 + (6*a^2 - 5)*b*x - 5*a)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*arcsin(b*x + a) + 3*arcsin(b*x + a)^2)/b","A",0
323,0,0,0,0.536315," ","integrate((-b^2*x^2-2*a*b*x-a^2+1)^(3/2)/arcsin(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b^{2} x^{2} - 2 \, a b x - a^{2} + 1\right)}^{\frac{3}{2}}}{\arcsin\left(b x + a\right)}, x\right)"," ",0,"integral((-b^2*x^2 - 2*a*b*x - a^2 + 1)^(3/2)/arcsin(b*x + a), x)","F",0
324,0,0,0,0.701751," ","integrate((-b^2*x^2-2*a*b*x-a^2+1)^(3/2)/arcsin(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b^{2} x^{2} - 2 \, a b x - a^{2} + 1\right)}^{\frac{3}{2}}}{\arcsin\left(b x + a\right)^{2}}, x\right)"," ",0,"integral((-b^2*x^2 - 2*a*b*x - a^2 + 1)^(3/2)/arcsin(b*x + a)^2, x)","F",0
325,0,0,0,0.597195," ","integrate((-b^2*x^2-2*a*b*x-a^2+1)^(3/2)/arcsin(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b^{2} x^{2} - 2 \, a b x - a^{2} + 1\right)}^{\frac{3}{2}}}{\arcsin\left(b x + a\right)^{3}}, x\right)"," ",0,"integral((-b^2*x^2 - 2*a*b*x - a^2 + 1)^(3/2)/arcsin(b*x + a)^3, x)","F",0
326,0,0,0,0.532024," ","integrate((-b^2*x^2-2*a*b*x-a^2+1)^(3/2)/arcsin(b*x+a)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b^{2} x^{2} - 2 \, a b x - a^{2} + 1\right)}^{\frac{3}{2}}}{\arcsin\left(b x + a\right)^{4}}, x\right)"," ",0,"integral((-b^2*x^2 - 2*a*b*x - a^2 + 1)^(3/2)/arcsin(b*x + a)^4, x)","F",0
327,1,22,0,0.454986," ","integrate(arcsin(b*x+a)^n/(-b^2*x^2-2*a*b*x-a^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\arcsin\left(b x + a\right)^{n} \arcsin\left(b x + a\right)}{b n + b}"," ",0,"arcsin(b*x + a)^n*arcsin(b*x + a)/(b*n + b)","A",0
328,1,13,0,0.626691," ","integrate(arcsin(b*x+a)^2/(-b^2*x^2-2*a*b*x-a^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\arcsin\left(b x + a\right)^{3}}{3 \, b}"," ",0,"1/3*arcsin(b*x + a)^3/b","A",0
329,1,13,0,0.450267," ","integrate(arcsin(b*x+a)/(-b^2*x^2-2*a*b*x-a^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\arcsin\left(b x + a\right)^{2}}{2 \, b}"," ",0,"1/2*arcsin(b*x + a)^2/b","A",0
330,1,13,0,0.461924," ","integrate(1/arcsin(b*x+a)/(-b^2*x^2-2*a*b*x-a^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(-\arcsin\left(b x + a\right)\right)}{b}"," ",0,"log(-arcsin(b*x + a))/b","A",0
331,1,13,0,0.417053," ","integrate(1/arcsin(b*x+a)^2/(-b^2*x^2-2*a*b*x-a^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{b \arcsin\left(b x + a\right)}"," ",0,"-1/(b*arcsin(b*x + a))","A",0
332,1,13,0,0.423281," ","integrate(1/arcsin(b*x+a)^3/(-b^2*x^2-2*a*b*x-a^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2 \, b \arcsin\left(b x + a\right)^{2}}"," ",0,"-1/2/(b*arcsin(b*x + a)^2)","A",0
333,0,0,0,0.456339," ","integrate(arcsin(b*x+a)^3/(-b^2*x^2-2*a*b*x-a^2+1)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} \arcsin\left(b x + a\right)^{3}}{b^{4} x^{4} + 4 \, a b^{3} x^{3} + 2 \, {\left(3 \, a^{2} - 1\right)} b^{2} x^{2} + a^{4} + 4 \, {\left(a^{3} - a\right)} b x - 2 \, a^{2} + 1}, x\right)"," ",0,"integral(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*arcsin(b*x + a)^3/(b^4*x^4 + 4*a*b^3*x^3 + 2*(3*a^2 - 1)*b^2*x^2 + a^4 + 4*(a^3 - a)*b*x - 2*a^2 + 1), x)","F",0
334,0,0,0,0.508216," ","integrate(arcsin(b*x+a)^2/(-b^2*x^2-2*a*b*x-a^2+1)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} \arcsin\left(b x + a\right)^{2}}{b^{4} x^{4} + 4 \, a b^{3} x^{3} + 2 \, {\left(3 \, a^{2} - 1\right)} b^{2} x^{2} + a^{4} + 4 \, {\left(a^{3} - a\right)} b x - 2 \, a^{2} + 1}, x\right)"," ",0,"integral(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*arcsin(b*x + a)^2/(b^4*x^4 + 4*a*b^3*x^3 + 2*(3*a^2 - 1)*b^2*x^2 + a^4 + 4*(a^3 - a)*b*x - 2*a^2 + 1), x)","F",0
335,1,99,0,0.451241," ","integrate(arcsin(b*x+a)/(-b^2*x^2-2*a*b*x-a^2+1)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(b x + a\right)} \arcsin\left(b x + a\right) - {\left(b^{2} x^{2} + 2 \, a b x + a^{2} - 1\right)} \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} - 1\right)}{2 \, {\left(b^{3} x^{2} + 2 \, a b^{2} x + {\left(a^{2} - 1\right)} b\right)}}"," ",0,"-1/2*(2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(b*x + a)*arcsin(b*x + a) - (b^2*x^2 + 2*a*b*x + a^2 - 1)*log(b^2*x^2 + 2*a*b*x + a^2 - 1))/(b^3*x^2 + 2*a*b^2*x + (a^2 - 1)*b)","B",0
336,0,0,0,0.457032," ","integrate(1/(-b^2*x^2-2*a*b*x-a^2+1)^(3/2)/arcsin(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{{\left(b^{4} x^{4} + 4 \, a b^{3} x^{3} + 2 \, {\left(3 \, a^{2} - 1\right)} b^{2} x^{2} + a^{4} + 4 \, {\left(a^{3} - a\right)} b x - 2 \, a^{2} + 1\right)} \arcsin\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)/((b^4*x^4 + 4*a*b^3*x^3 + 2*(3*a^2 - 1)*b^2*x^2 + a^4 + 4*(a^3 - a)*b*x - 2*a^2 + 1)*arcsin(b*x + a)), x)","F",0
337,0,0,0,0.463560," ","integrate(1/(-b^2*x^2-2*a*b*x-a^2+1)^(3/2)/arcsin(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{{\left(b^{4} x^{4} + 4 \, a b^{3} x^{3} + 2 \, {\left(3 \, a^{2} - 1\right)} b^{2} x^{2} + a^{4} + 4 \, {\left(a^{3} - a\right)} b x - 2 \, a^{2} + 1\right)} \arcsin\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)/((b^4*x^4 + 4*a*b^3*x^3 + 2*(3*a^2 - 1)*b^2*x^2 + a^4 + 4*(a^3 - a)*b*x - 2*a^2 + 1)*arcsin(b*x + a)^2), x)","F",0
338,0,0,0,0.459183," ","integrate(arcsin(b*x+a)/(c-c*(b*x+a)^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-b^{2} c x^{2} - 2 \, a b c x - {\left(a^{2} - 1\right)} c} \arcsin\left(b x + a\right)}{b^{2} c x^{2} + 2 \, a b c x + {\left(a^{2} - 1\right)} c}, x\right)"," ",0,"integral(-sqrt(-b^2*c*x^2 - 2*a*b*c*x - (a^2 - 1)*c)*arcsin(b*x + a)/(b^2*c*x^2 + 2*a*b*c*x + (a^2 - 1)*c), x)","F",0
339,0,0,0,0.464173," ","integrate(arcsin(b*x+a)/((-a^2+1)*c-2*a*b*c*x-c*x^2*b^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-b^{2} c x^{2} - 2 \, a b c x - {\left(a^{2} - 1\right)} c} \arcsin\left(b x + a\right)}{b^{2} c x^{2} + 2 \, a b c x + {\left(a^{2} - 1\right)} c}, x\right)"," ",0,"integral(-sqrt(-b^2*c*x^2 - 2*a*b*c*x - (a^2 - 1)*c)*arcsin(b*x + a)/(b^2*c*x^2 + 2*a*b*c*x + (a^2 - 1)*c), x)","F",0
340,1,65,0,0.448774," ","integrate(x^9*(a+b*arcsin(c*x^2)),x, algorithm=""fricas"")","\frac{15 \, b c^{5} x^{10} \arcsin\left(c x^{2}\right) + 15 \, a c^{5} x^{10} + {\left(3 \, b c^{4} x^{8} + 4 \, b c^{2} x^{4} + 8 \, b\right)} \sqrt{-c^{2} x^{4} + 1}}{150 \, c^{5}}"," ",0,"1/150*(15*b*c^5*x^10*arcsin(c*x^2) + 15*a*c^5*x^10 + (3*b*c^4*x^8 + 4*b*c^2*x^4 + 8*b)*sqrt(-c^2*x^4 + 1))/c^5","A",0
341,1,65,0,0.400683," ","integrate(x^7*(a+b*arcsin(c*x^2)),x, algorithm=""fricas"")","\frac{8 \, a c^{4} x^{8} + {\left(8 \, b c^{4} x^{8} - 3 \, b\right)} \arcsin\left(c x^{2}\right) + {\left(2 \, b c^{3} x^{6} + 3 \, b c x^{2}\right)} \sqrt{-c^{2} x^{4} + 1}}{64 \, c^{4}}"," ",0,"1/64*(8*a*c^4*x^8 + (8*b*c^4*x^8 - 3*b)*arcsin(c*x^2) + (2*b*c^3*x^6 + 3*b*c*x^2)*sqrt(-c^2*x^4 + 1))/c^4","A",0
342,1,55,0,0.408237," ","integrate(x^5*(a+b*arcsin(c*x^2)),x, algorithm=""fricas"")","\frac{3 \, b c^{3} x^{6} \arcsin\left(c x^{2}\right) + 3 \, a c^{3} x^{6} + {\left(b c^{2} x^{4} + 2 \, b\right)} \sqrt{-c^{2} x^{4} + 1}}{18 \, c^{3}}"," ",0,"1/18*(3*b*c^3*x^6*arcsin(c*x^2) + 3*a*c^3*x^6 + (b*c^2*x^4 + 2*b)*sqrt(-c^2*x^4 + 1))/c^3","A",0
343,1,53,0,0.404676," ","integrate(x^3*(a+b*arcsin(c*x^2)),x, algorithm=""fricas"")","\frac{2 \, a c^{2} x^{4} + \sqrt{-c^{2} x^{4} + 1} b c x^{2} + {\left(2 \, b c^{2} x^{4} - b\right)} \arcsin\left(c x^{2}\right)}{8 \, c^{2}}"," ",0,"1/8*(2*a*c^2*x^4 + sqrt(-c^2*x^4 + 1)*b*c*x^2 + (2*b*c^2*x^4 - b)*arcsin(c*x^2))/c^2","A",0
344,1,38,0,0.404125," ","integrate(x*(a+b*arcsin(c*x^2)),x, algorithm=""fricas"")","\frac{b c x^{2} \arcsin\left(c x^{2}\right) + a c x^{2} + \sqrt{-c^{2} x^{4} + 1} b}{2 \, c}"," ",0,"1/2*(b*c*x^2*arcsin(c*x^2) + a*c*x^2 + sqrt(-c^2*x^4 + 1)*b)/c","A",0
345,0,0,0,0.412927," ","integrate((a+b*arcsin(c*x^2))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \arcsin\left(c x^{2}\right) + a}{x}, x\right)"," ",0,"integral((b*arcsin(c*x^2) + a)/x, x)","F",0
346,1,61,0,0.474467," ","integrate((a+b*arcsin(c*x^2))/x^3,x, algorithm=""fricas"")","-\frac{b c x^{2} \log\left(\sqrt{-c^{2} x^{4} + 1} + 1\right) - b c x^{2} \log\left(\sqrt{-c^{2} x^{4} + 1} - 1\right) + 2 \, b \arcsin\left(c x^{2}\right) + 2 \, a}{4 \, x^{2}}"," ",0,"-1/4*(b*c*x^2*log(sqrt(-c^2*x^4 + 1) + 1) - b*c*x^2*log(sqrt(-c^2*x^4 + 1) - 1) + 2*b*arcsin(c*x^2) + 2*a)/x^2","A",0
347,1,42,0,0.475425," ","integrate((a+b*arcsin(c*x^2))/x^5,x, algorithm=""fricas"")","\frac{a x^{4} - \sqrt{-c^{2} x^{4} + 1} b c x^{2} - b \arcsin\left(c x^{2}\right) - a}{4 \, x^{4}}"," ",0,"1/4*(a*x^4 - sqrt(-c^2*x^4 + 1)*b*c*x^2 - b*arcsin(c*x^2) - a)/x^4","A",0
348,1,84,0,0.584872," ","integrate((a+b*arcsin(c*x^2))/x^7,x, algorithm=""fricas"")","-\frac{b c^{3} x^{6} \log\left(\sqrt{-c^{2} x^{4} + 1} + 1\right) - b c^{3} x^{6} \log\left(\sqrt{-c^{2} x^{4} + 1} - 1\right) + 2 \, \sqrt{-c^{2} x^{4} + 1} b c x^{2} + 4 \, b \arcsin\left(c x^{2}\right) + 4 \, a}{24 \, x^{6}}"," ",0,"-1/24*(b*c^3*x^6*log(sqrt(-c^2*x^4 + 1) + 1) - b*c^3*x^6*log(sqrt(-c^2*x^4 + 1) - 1) + 2*sqrt(-c^2*x^4 + 1)*b*c*x^2 + 4*b*arcsin(c*x^2) + 4*a)/x^6","A",0
349,1,54,0,0.540187," ","integrate((a+b*arcsin(c*x^2))/x^9,x, algorithm=""fricas"")","\frac{3 \, a x^{8} - 3 \, b \arcsin\left(c x^{2}\right) - {\left(2 \, b c^{3} x^{6} + b c x^{2}\right)} \sqrt{-c^{2} x^{4} + 1} - 3 \, a}{24 \, x^{8}}"," ",0,"1/24*(3*a*x^8 - 3*b*arcsin(c*x^2) - (2*b*c^3*x^6 + b*c*x^2)*sqrt(-c^2*x^4 + 1) - 3*a)/x^8","A",0
350,1,97,0,0.700527," ","integrate((a+b*arcsin(c*x^2))/x^11,x, algorithm=""fricas"")","-\frac{3 \, b c^{5} x^{10} \log\left(\sqrt{-c^{2} x^{4} + 1} + 1\right) - 3 \, b c^{5} x^{10} \log\left(\sqrt{-c^{2} x^{4} + 1} - 1\right) + 16 \, b \arcsin\left(c x^{2}\right) + 2 \, {\left(3 \, b c^{3} x^{6} + 2 \, b c x^{2}\right)} \sqrt{-c^{2} x^{4} + 1} + 16 \, a}{160 \, x^{10}}"," ",0,"-1/160*(3*b*c^5*x^10*log(sqrt(-c^2*x^4 + 1) + 1) - 3*b*c^5*x^10*log(sqrt(-c^2*x^4 + 1) - 1) + 16*b*arcsin(c*x^2) + 2*(3*b*c^3*x^6 + 2*b*c*x^2)*sqrt(-c^2*x^4 + 1) + 16*a)/x^10","A",0
351,1,64,0,0.647306," ","integrate((a+b*arcsin(c*x^2))/x^13,x, algorithm=""fricas"")","\frac{15 \, a x^{12} - 15 \, b \arcsin\left(c x^{2}\right) - {\left(8 \, b c^{5} x^{10} + 4 \, b c^{3} x^{6} + 3 \, b c x^{2}\right)} \sqrt{-c^{2} x^{4} + 1} - 15 \, a}{180 \, x^{12}}"," ",0,"1/180*(15*a*x^12 - 15*b*arcsin(c*x^2) - (8*b*c^5*x^10 + 4*b*c^3*x^6 + 3*b*c*x^2)*sqrt(-c^2*x^4 + 1) - 15*a)/x^12","A",0
352,0,0,0,0.606563," ","integrate(x^6*(a+b*arcsin(c*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(b x^{6} \arcsin\left(c x^{2}\right) + a x^{6}, x\right)"," ",0,"integral(b*x^6*arcsin(c*x^2) + a*x^6, x)","F",0
353,0,0,0,0.529172," ","integrate(x^4*(a+b*arcsin(c*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(b x^{4} \arcsin\left(c x^{2}\right) + a x^{4}, x\right)"," ",0,"integral(b*x^4*arcsin(c*x^2) + a*x^4, x)","F",0
354,0,0,0,1.388448," ","integrate(x^2*(a+b*arcsin(c*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(b x^{2} \arcsin\left(c x^{2}\right) + a x^{2}, x\right)"," ",0,"integral(b*x^2*arcsin(c*x^2) + a*x^2, x)","F",0
355,0,0,0,0.652213," ","integrate(a+b*arcsin(c*x^2),x, algorithm=""fricas"")","{\rm integral}\left(b \arcsin\left(c x^{2}\right) + a, x\right)"," ",0,"integral(b*arcsin(c*x^2) + a, x)","F",0
356,0,0,0,0.482063," ","integrate((a+b*arcsin(c*x^2))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \arcsin\left(c x^{2}\right) + a}{x^{2}}, x\right)"," ",0,"integral((b*arcsin(c*x^2) + a)/x^2, x)","F",0
357,0,0,0,0.675985," ","integrate((a+b*arcsin(c*x^2))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \arcsin\left(c x^{2}\right) + a}{x^{4}}, x\right)"," ",0,"integral((b*arcsin(c*x^2) + a)/x^4, x)","F",0
358,0,0,0,0.647803," ","integrate((a+b*arcsin(c*x^2))/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \arcsin\left(c x^{2}\right) + a}{x^{6}}, x\right)"," ",0,"integral((b*arcsin(c*x^2) + a)/x^6, x)","F",0
359,0,0,0,0.569271," ","integrate((a+b*arcsin(c*x^2))/x^8,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \arcsin\left(c x^{2}\right) + a}{x^{8}}, x\right)"," ",0,"integral((b*arcsin(c*x^2) + a)/x^8, x)","F",0
360,0,0,0,0.557162," ","integrate(arcsin(a*x^5)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arcsin\left(a x^{5}\right)}{x}, x\right)"," ",0,"integral(arcsin(a*x^5)/x, x)","F",0
361,1,36,0,0.488154," ","integrate(x^2*arcsin(x^(1/2)),x, algorithm=""fricas"")","\frac{1}{144} \, {\left(8 \, x^{2} + 10 \, x + 15\right)} \sqrt{x} \sqrt{-x + 1} + \frac{1}{48} \, {\left(16 \, x^{3} - 5\right)} \arcsin\left(\sqrt{x}\right)"," ",0,"1/144*(8*x^2 + 10*x + 15)*sqrt(x)*sqrt(-x + 1) + 1/48*(16*x^3 - 5)*arcsin(sqrt(x))","A",0
362,1,31,0,0.429815," ","integrate(x*arcsin(x^(1/2)),x, algorithm=""fricas"")","\frac{1}{16} \, {\left(2 \, x + 3\right)} \sqrt{x} \sqrt{-x + 1} + \frac{1}{16} \, {\left(8 \, x^{2} - 3\right)} \arcsin\left(\sqrt{x}\right)"," ",0,"1/16*(2*x + 3)*sqrt(x)*sqrt(-x + 1) + 1/16*(8*x^2 - 3)*arcsin(sqrt(x))","A",0
363,1,24,0,0.490827," ","integrate(arcsin(x^(1/2)),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(2 \, x - 1\right)} \arcsin\left(\sqrt{x}\right) + \frac{1}{2} \, \sqrt{x} \sqrt{-x + 1}"," ",0,"1/2*(2*x - 1)*arcsin(sqrt(x)) + 1/2*sqrt(x)*sqrt(-x + 1)","A",0
364,0,0,0,0.947155," ","integrate(arcsin(x^(1/2))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arcsin\left(\sqrt{x}\right)}{x}, x\right)"," ",0,"integral(arcsin(sqrt(x))/x, x)","F",0
365,1,21,0,0.423483," ","integrate(arcsin(x^(1/2))/x^2,x, algorithm=""fricas"")","-\frac{\sqrt{x} \sqrt{-x + 1} + \arcsin\left(\sqrt{x}\right)}{x}"," ",0,"-(sqrt(x)*sqrt(-x + 1) + arcsin(sqrt(x)))/x","A",0
366,1,28,0,0.403150," ","integrate(arcsin(x^(1/2))/x^3,x, algorithm=""fricas"")","-\frac{{\left(2 \, x + 1\right)} \sqrt{x} \sqrt{-x + 1} + 3 \, \arcsin\left(\sqrt{x}\right)}{6 \, x^{2}}"," ",0,"-1/6*((2*x + 1)*sqrt(x)*sqrt(-x + 1) + 3*arcsin(sqrt(x)))/x^2","A",0
367,1,33,0,0.408365," ","integrate(arcsin(x^(1/2))/x^4,x, algorithm=""fricas"")","-\frac{{\left(8 \, x^{2} + 4 \, x + 3\right)} \sqrt{x} \sqrt{-x + 1} + 15 \, \arcsin\left(\sqrt{x}\right)}{45 \, x^{3}}"," ",0,"-1/45*((8*x^2 + 4*x + 3)*sqrt(x)*sqrt(-x + 1) + 15*arcsin(sqrt(x)))/x^3","A",0
368,1,38,0,0.683385," ","integrate(arcsin(x^(1/2))/x^5,x, algorithm=""fricas"")","-\frac{{\left(16 \, x^{3} + 8 \, x^{2} + 6 \, x + 5\right)} \sqrt{x} \sqrt{-x + 1} + 35 \, \arcsin\left(\sqrt{x}\right)}{140 \, x^{4}}"," ",0,"-1/140*((16*x^3 + 8*x^2 + 6*x + 5)*sqrt(x)*sqrt(-x + 1) + 35*arcsin(sqrt(x)))/x^4","A",0
369,1,118,0,0.726632," ","integrate(x^4*(a+b*arcsin(c/x)),x, algorithm=""fricas"")","-\frac{3}{40} \, b c^{5} \log\left(x \sqrt{-\frac{c^{2} - x^{2}}{x^{2}}} - x\right) + \frac{1}{5} \, a x^{5} + \frac{1}{5} \, {\left(b x^{5} - b\right)} \arcsin\left(\frac{c}{x}\right) - \frac{2}{5} \, b \arctan\left(\frac{x \sqrt{-\frac{c^{2} - x^{2}}{x^{2}}} - x}{c}\right) + \frac{1}{40} \, {\left(3 \, b c^{3} x^{2} + 2 \, b c x^{4}\right)} \sqrt{-\frac{c^{2} - x^{2}}{x^{2}}}"," ",0,"-3/40*b*c^5*log(x*sqrt(-(c^2 - x^2)/x^2) - x) + 1/5*a*x^5 + 1/5*(b*x^5 - b)*arcsin(c/x) - 2/5*b*arctan((x*sqrt(-(c^2 - x^2)/x^2) - x)/c) + 1/40*(3*b*c^3*x^2 + 2*b*c*x^4)*sqrt(-(c^2 - x^2)/x^2)","A",0
370,1,51,0,1.470649," ","integrate(x^3*(a+b*arcsin(c/x)),x, algorithm=""fricas"")","\frac{1}{4} \, b x^{4} \arcsin\left(\frac{c}{x}\right) + \frac{1}{4} \, a x^{4} + \frac{1}{12} \, {\left(2 \, b c^{3} x + b c x^{3}\right)} \sqrt{-\frac{c^{2} - x^{2}}{x^{2}}}"," ",0,"1/4*b*x^4*arcsin(c/x) + 1/4*a*x^4 + 1/12*(2*b*c^3*x + b*c*x^3)*sqrt(-(c^2 - x^2)/x^2)","A",0
371,1,106,0,0.509949," ","integrate(x^2*(a+b*arcsin(c/x)),x, algorithm=""fricas"")","-\frac{1}{6} \, b c^{3} \log\left(x \sqrt{-\frac{c^{2} - x^{2}}{x^{2}}} - x\right) + \frac{1}{6} \, b c x^{2} \sqrt{-\frac{c^{2} - x^{2}}{x^{2}}} + \frac{1}{3} \, a x^{3} + \frac{1}{3} \, {\left(b x^{3} - b\right)} \arcsin\left(\frac{c}{x}\right) - \frac{2}{3} \, b \arctan\left(\frac{x \sqrt{-\frac{c^{2} - x^{2}}{x^{2}}} - x}{c}\right)"," ",0,"-1/6*b*c^3*log(x*sqrt(-(c^2 - x^2)/x^2) - x) + 1/6*b*c*x^2*sqrt(-(c^2 - x^2)/x^2) + 1/3*a*x^3 + 1/3*(b*x^3 - b)*arcsin(c/x) - 2/3*b*arctan((x*sqrt(-(c^2 - x^2)/x^2) - x)/c)","A",0
372,1,40,0,0.561856," ","integrate(x*(a+b*arcsin(c/x)),x, algorithm=""fricas"")","\frac{1}{2} \, b x^{2} \arcsin\left(\frac{c}{x}\right) + \frac{1}{2} \, b c x \sqrt{-\frac{c^{2} - x^{2}}{x^{2}}} + \frac{1}{2} \, a x^{2}"," ",0,"1/2*b*x^2*arcsin(c/x) + 1/2*b*c*x*sqrt(-(c^2 - x^2)/x^2) + 1/2*a*x^2","A",0
373,1,75,0,0.807574," ","integrate(a+b*arcsin(c/x),x, algorithm=""fricas"")","-b c \log\left(x \sqrt{-\frac{c^{2} - x^{2}}{x^{2}}} - x\right) + a x + {\left(b x - b\right)} \arcsin\left(\frac{c}{x}\right) - 2 \, b \arctan\left(\frac{x \sqrt{-\frac{c^{2} - x^{2}}{x^{2}}} - x}{c}\right)"," ",0,"-b*c*log(x*sqrt(-(c^2 - x^2)/x^2) - x) + a*x + (b*x - b)*arcsin(c/x) - 2*b*arctan((x*sqrt(-(c^2 - x^2)/x^2) - x)/c)","B",0
374,0,0,0,1.377192," ","integrate((a+b*arcsin(c/x))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \arcsin\left(\frac{c}{x}\right) + a}{x}, x\right)"," ",0,"integral((b*arcsin(c/x) + a)/x, x)","F",0
375,1,40,0,1.392867," ","integrate((a+b*arcsin(c/x))/x^2,x, algorithm=""fricas"")","-\frac{b c \arcsin\left(\frac{c}{x}\right) + b x \sqrt{-\frac{c^{2} - x^{2}}{x^{2}}} + a c}{c x}"," ",0,"-(b*c*arcsin(c/x) + b*x*sqrt(-(c^2 - x^2)/x^2) + a*c)/(c*x)","A",0
376,1,55,0,0.903419," ","integrate((a+b*arcsin(c/x))/x^3,x, algorithm=""fricas"")","-\frac{b c x \sqrt{-\frac{c^{2} - x^{2}}{x^{2}}} + 2 \, a c^{2} + {\left(2 \, b c^{2} - b x^{2}\right)} \arcsin\left(\frac{c}{x}\right)}{4 \, c^{2} x^{2}}"," ",0,"-1/4*(b*c*x*sqrt(-(c^2 - x^2)/x^2) + 2*a*c^2 + (2*b*c^2 - b*x^2)*arcsin(c/x))/(c^2*x^2)","A",0
377,1,57,0,1.128942," ","integrate((a+b*arcsin(c/x))/x^4,x, algorithm=""fricas"")","-\frac{3 \, b c^{3} \arcsin\left(\frac{c}{x}\right) + 3 \, a c^{3} + {\left(b c^{2} x + 2 \, b x^{3}\right)} \sqrt{-\frac{c^{2} - x^{2}}{x^{2}}}}{9 \, c^{3} x^{3}}"," ",0,"-1/9*(3*b*c^3*arcsin(c/x) + 3*a*c^3 + (b*c^2*x + 2*b*x^3)*sqrt(-(c^2 - x^2)/x^2))/(c^3*x^3)","A",0
378,1,67,0,0.648284," ","integrate((a+b*arcsin(c/x))/x^5,x, algorithm=""fricas"")","-\frac{8 \, a c^{4} + {\left(8 \, b c^{4} - 3 \, b x^{4}\right)} \arcsin\left(\frac{c}{x}\right) + {\left(2 \, b c^{3} x + 3 \, b c x^{3}\right)} \sqrt{-\frac{c^{2} - x^{2}}{x^{2}}}}{32 \, c^{4} x^{4}}"," ",0,"-1/32*(8*a*c^4 + (8*b*c^4 - 3*b*x^4)*arcsin(c/x) + (2*b*c^3*x + 3*b*c*x^3)*sqrt(-(c^2 - x^2)/x^2))/(c^4*x^4)","A",0
379,-2,0,0,0.000000," ","integrate(x^m*(a+b*arcsin(c*x^n)),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
380,-2,0,0,0.000000," ","integrate(x^2*(a+b*arcsin(c*x^n)),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
381,-2,0,0,0.000000," ","integrate(x*(a+b*arcsin(c*x^n)),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
382,-2,0,0,0.000000," ","integrate(a+b*arcsin(c*x^n),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
383,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x^n))/x,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
384,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x^n))/x^2,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
385,-2,0,0,0.000000," ","integrate((a+b*arcsin(c*x^n))/x^3,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
386,1,97,0,0.535934," ","integrate(x^5*(a+b*arcsin(d*x^2+c)),x, algorithm=""fricas"")","\frac{6 \, a d^{3} x^{6} + 3 \, {\left(2 \, b d^{3} x^{6} + 2 \, b c^{3} + 3 \, b c\right)} \arcsin\left(d x^{2} + c\right) + {\left(2 \, b d^{2} x^{4} - 5 \, b c d x^{2} + 11 \, b c^{2} + 4 \, b\right)} \sqrt{-d^{2} x^{4} - 2 \, c d x^{2} - c^{2} + 1}}{36 \, d^{3}}"," ",0,"1/36*(6*a*d^3*x^6 + 3*(2*b*d^3*x^6 + 2*b*c^3 + 3*b*c)*arcsin(d*x^2 + c) + (2*b*d^2*x^4 - 5*b*c*d*x^2 + 11*b*c^2 + 4*b)*sqrt(-d^2*x^4 - 2*c*d*x^2 - c^2 + 1))/d^3","A",0
387,1,79,0,0.445873," ","integrate(x^3*(a+b*arcsin(d*x^2+c)),x, algorithm=""fricas"")","\frac{2 \, a d^{2} x^{4} + {\left(2 \, b d^{2} x^{4} - 2 \, b c^{2} - b\right)} \arcsin\left(d x^{2} + c\right) + \sqrt{-d^{2} x^{4} - 2 \, c d x^{2} - c^{2} + 1} {\left(b d x^{2} - 3 \, b c\right)}}{8 \, d^{2}}"," ",0,"1/8*(2*a*d^2*x^4 + (2*b*d^2*x^4 - 2*b*c^2 - b)*arcsin(d*x^2 + c) + sqrt(-d^2*x^4 - 2*c*d*x^2 - c^2 + 1)*(b*d*x^2 - 3*b*c))/d^2","A",0
388,1,57,0,0.444879," ","integrate(x*(a+b*arcsin(d*x^2+c)),x, algorithm=""fricas"")","\frac{a d x^{2} + {\left(b d x^{2} + b c\right)} \arcsin\left(d x^{2} + c\right) + \sqrt{-d^{2} x^{4} - 2 \, c d x^{2} - c^{2} + 1} b}{2 \, d}"," ",0,"1/2*(a*d*x^2 + (b*d*x^2 + b*c)*arcsin(d*x^2 + c) + sqrt(-d^2*x^4 - 2*c*d*x^2 - c^2 + 1)*b)/d","A",0
389,0,0,0,0.426162," ","integrate((a+b*arcsin(d*x^2+c))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \arcsin\left(d x^{2} + c\right) + a}{x}, x\right)"," ",0,"integral((b*arcsin(d*x^2 + c) + a)/x, x)","F",0
390,1,280,0,0.569261," ","integrate((a+b*arcsin(d*x^2+c))/x^3,x, algorithm=""fricas"")","\left[-\frac{\sqrt{-c^{2} + 1} b d x^{2} \log\left(\frac{{\left(2 \, c^{2} - 1\right)} d^{2} x^{4} + 2 \, c^{4} + 4 \, {\left(c^{3} - c\right)} d x^{2} + 2 \, \sqrt{-d^{2} x^{4} - 2 \, c d x^{2} - c^{2} + 1} {\left(c d x^{2} + c^{2} - 1\right)} \sqrt{-c^{2} + 1} - 4 \, c^{2} + 2}{x^{4}}\right) + 2 \, a c^{2} + 2 \, {\left(b c^{2} - b\right)} \arcsin\left(d x^{2} + c\right) - 2 \, a}{4 \, {\left(c^{2} - 1\right)} x^{2}}, \frac{\sqrt{c^{2} - 1} b d x^{2} \arctan\left(\frac{\sqrt{-d^{2} x^{4} - 2 \, c d x^{2} - c^{2} + 1} {\left(c d x^{2} + c^{2} - 1\right)} \sqrt{c^{2} - 1}}{{\left(c^{2} - 1\right)} d^{2} x^{4} + c^{4} + 2 \, {\left(c^{3} - c\right)} d x^{2} - 2 \, c^{2} + 1}\right) - a c^{2} - {\left(b c^{2} - b\right)} \arcsin\left(d x^{2} + c\right) + a}{2 \, {\left(c^{2} - 1\right)} x^{2}}\right]"," ",0,"[-1/4*(sqrt(-c^2 + 1)*b*d*x^2*log(((2*c^2 - 1)*d^2*x^4 + 2*c^4 + 4*(c^3 - c)*d*x^2 + 2*sqrt(-d^2*x^4 - 2*c*d*x^2 - c^2 + 1)*(c*d*x^2 + c^2 - 1)*sqrt(-c^2 + 1) - 4*c^2 + 2)/x^4) + 2*a*c^2 + 2*(b*c^2 - b)*arcsin(d*x^2 + c) - 2*a)/((c^2 - 1)*x^2), 1/2*(sqrt(c^2 - 1)*b*d*x^2*arctan(sqrt(-d^2*x^4 - 2*c*d*x^2 - c^2 + 1)*(c*d*x^2 + c^2 - 1)*sqrt(c^2 - 1)/((c^2 - 1)*d^2*x^4 + c^4 + 2*(c^3 - c)*d*x^2 - 2*c^2 + 1)) - a*c^2 - (b*c^2 - b)*arcsin(d*x^2 + c) + a)/((c^2 - 1)*x^2)]","A",0
391,1,392,0,0.554791," ","integrate((a+b*arcsin(d*x^2+c))/x^5,x, algorithm=""fricas"")","\left[-\frac{\sqrt{-c^{2} + 1} b c d^{2} x^{4} \log\left(\frac{{\left(2 \, c^{2} - 1\right)} d^{2} x^{4} + 2 \, c^{4} + 4 \, {\left(c^{3} - c\right)} d x^{2} - 2 \, \sqrt{-d^{2} x^{4} - 2 \, c d x^{2} - c^{2} + 1} {\left(c d x^{2} + c^{2} - 1\right)} \sqrt{-c^{2} + 1} - 4 \, c^{2} + 2}{x^{4}}\right) + 2 \, a c^{4} - 2 \, \sqrt{-d^{2} x^{4} - 2 \, c d x^{2} - c^{2} + 1} {\left(b c^{2} - b\right)} d x^{2} - 4 \, a c^{2} + 2 \, {\left(b c^{4} - 2 \, b c^{2} + b\right)} \arcsin\left(d x^{2} + c\right) + 2 \, a}{8 \, {\left(c^{4} - 2 \, c^{2} + 1\right)} x^{4}}, -\frac{\sqrt{c^{2} - 1} b c d^{2} x^{4} \arctan\left(\frac{\sqrt{-d^{2} x^{4} - 2 \, c d x^{2} - c^{2} + 1} {\left(c d x^{2} + c^{2} - 1\right)} \sqrt{c^{2} - 1}}{{\left(c^{2} - 1\right)} d^{2} x^{4} + c^{4} + 2 \, {\left(c^{3} - c\right)} d x^{2} - 2 \, c^{2} + 1}\right) + a c^{4} - \sqrt{-d^{2} x^{4} - 2 \, c d x^{2} - c^{2} + 1} {\left(b c^{2} - b\right)} d x^{2} - 2 \, a c^{2} + {\left(b c^{4} - 2 \, b c^{2} + b\right)} \arcsin\left(d x^{2} + c\right) + a}{4 \, {\left(c^{4} - 2 \, c^{2} + 1\right)} x^{4}}\right]"," ",0,"[-1/8*(sqrt(-c^2 + 1)*b*c*d^2*x^4*log(((2*c^2 - 1)*d^2*x^4 + 2*c^4 + 4*(c^3 - c)*d*x^2 - 2*sqrt(-d^2*x^4 - 2*c*d*x^2 - c^2 + 1)*(c*d*x^2 + c^2 - 1)*sqrt(-c^2 + 1) - 4*c^2 + 2)/x^4) + 2*a*c^4 - 2*sqrt(-d^2*x^4 - 2*c*d*x^2 - c^2 + 1)*(b*c^2 - b)*d*x^2 - 4*a*c^2 + 2*(b*c^4 - 2*b*c^2 + b)*arcsin(d*x^2 + c) + 2*a)/((c^4 - 2*c^2 + 1)*x^4), -1/4*(sqrt(c^2 - 1)*b*c*d^2*x^4*arctan(sqrt(-d^2*x^4 - 2*c*d*x^2 - c^2 + 1)*(c*d*x^2 + c^2 - 1)*sqrt(c^2 - 1)/((c^2 - 1)*d^2*x^4 + c^4 + 2*(c^3 - c)*d*x^2 - 2*c^2 + 1)) + a*c^4 - sqrt(-d^2*x^4 - 2*c*d*x^2 - c^2 + 1)*(b*c^2 - b)*d*x^2 - 2*a*c^2 + (b*c^4 - 2*b*c^2 + b)*arcsin(d*x^2 + c) + a)/((c^4 - 2*c^2 + 1)*x^4)]","A",0
392,1,496,0,0.654384," ","integrate((a+b*arcsin(d*x^2+c))/x^7,x, algorithm=""fricas"")","\left[-\frac{{\left(2 \, b c^{2} + b\right)} \sqrt{-c^{2} + 1} d^{3} x^{6} \log\left(\frac{{\left(2 \, c^{2} - 1\right)} d^{2} x^{4} + 2 \, c^{4} + 4 \, {\left(c^{3} - c\right)} d x^{2} + 2 \, \sqrt{-d^{2} x^{4} - 2 \, c d x^{2} - c^{2} + 1} {\left(c d x^{2} + c^{2} - 1\right)} \sqrt{-c^{2} + 1} - 4 \, c^{2} + 2}{x^{4}}\right) + 4 \, a c^{6} - 12 \, a c^{4} + 12 \, a c^{2} + 4 \, {\left(b c^{6} - 3 \, b c^{4} + 3 \, b c^{2} - b\right)} \arcsin\left(d x^{2} + c\right) + 2 \, {\left(3 \, {\left(b c^{3} - b c\right)} d^{2} x^{4} - {\left(b c^{4} - 2 \, b c^{2} + b\right)} d x^{2}\right)} \sqrt{-d^{2} x^{4} - 2 \, c d x^{2} - c^{2} + 1} - 4 \, a}{24 \, {\left(c^{6} - 3 \, c^{4} + 3 \, c^{2} - 1\right)} x^{6}}, \frac{{\left(2 \, b c^{2} + b\right)} \sqrt{c^{2} - 1} d^{3} x^{6} \arctan\left(\frac{\sqrt{-d^{2} x^{4} - 2 \, c d x^{2} - c^{2} + 1} {\left(c d x^{2} + c^{2} - 1\right)} \sqrt{c^{2} - 1}}{{\left(c^{2} - 1\right)} d^{2} x^{4} + c^{4} + 2 \, {\left(c^{3} - c\right)} d x^{2} - 2 \, c^{2} + 1}\right) - 2 \, a c^{6} + 6 \, a c^{4} - 6 \, a c^{2} - 2 \, {\left(b c^{6} - 3 \, b c^{4} + 3 \, b c^{2} - b\right)} \arcsin\left(d x^{2} + c\right) - {\left(3 \, {\left(b c^{3} - b c\right)} d^{2} x^{4} - {\left(b c^{4} - 2 \, b c^{2} + b\right)} d x^{2}\right)} \sqrt{-d^{2} x^{4} - 2 \, c d x^{2} - c^{2} + 1} + 2 \, a}{12 \, {\left(c^{6} - 3 \, c^{4} + 3 \, c^{2} - 1\right)} x^{6}}\right]"," ",0,"[-1/24*((2*b*c^2 + b)*sqrt(-c^2 + 1)*d^3*x^6*log(((2*c^2 - 1)*d^2*x^4 + 2*c^4 + 4*(c^3 - c)*d*x^2 + 2*sqrt(-d^2*x^4 - 2*c*d*x^2 - c^2 + 1)*(c*d*x^2 + c^2 - 1)*sqrt(-c^2 + 1) - 4*c^2 + 2)/x^4) + 4*a*c^6 - 12*a*c^4 + 12*a*c^2 + 4*(b*c^6 - 3*b*c^4 + 3*b*c^2 - b)*arcsin(d*x^2 + c) + 2*(3*(b*c^3 - b*c)*d^2*x^4 - (b*c^4 - 2*b*c^2 + b)*d*x^2)*sqrt(-d^2*x^4 - 2*c*d*x^2 - c^2 + 1) - 4*a)/((c^6 - 3*c^4 + 3*c^2 - 1)*x^6), 1/12*((2*b*c^2 + b)*sqrt(c^2 - 1)*d^3*x^6*arctan(sqrt(-d^2*x^4 - 2*c*d*x^2 - c^2 + 1)*(c*d*x^2 + c^2 - 1)*sqrt(c^2 - 1)/((c^2 - 1)*d^2*x^4 + c^4 + 2*(c^3 - c)*d*x^2 - 2*c^2 + 1)) - 2*a*c^6 + 6*a*c^4 - 6*a*c^2 - 2*(b*c^6 - 3*b*c^4 + 3*b*c^2 - b)*arcsin(d*x^2 + c) - (3*(b*c^3 - b*c)*d^2*x^4 - (b*c^4 - 2*b*c^2 + b)*d*x^2)*sqrt(-d^2*x^4 - 2*c*d*x^2 - c^2 + 1) + 2*a)/((c^6 - 3*c^4 + 3*c^2 - 1)*x^6)]","A",0
393,0,0,0,0.429656," ","integrate(x^4*(a+b*arcsin(d*x^2+c)),x, algorithm=""fricas"")","{\rm integral}\left(b x^{4} \arcsin\left(d x^{2} + c\right) + a x^{4}, x\right)"," ",0,"integral(b*x^4*arcsin(d*x^2 + c) + a*x^4, x)","F",0
394,0,0,0,0.535370," ","integrate(x^2*(a+b*arcsin(d*x^2+c)),x, algorithm=""fricas"")","{\rm integral}\left(b x^{2} \arcsin\left(d x^{2} + c\right) + a x^{2}, x\right)"," ",0,"integral(b*x^2*arcsin(d*x^2 + c) + a*x^2, x)","F",0
395,0,0,0,0.422669," ","integrate(a+b*arcsin(d*x^2+c),x, algorithm=""fricas"")","{\rm integral}\left(b \arcsin\left(d x^{2} + c\right) + a, x\right)"," ",0,"integral(b*arcsin(d*x^2 + c) + a, x)","F",0
396,0,0,0,0.530122," ","integrate((a+b*arcsin(d*x^2+c))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \arcsin\left(d x^{2} + c\right) + a}{x^{2}}, x\right)"," ",0,"integral((b*arcsin(d*x^2 + c) + a)/x^2, x)","F",0
397,0,0,0,1.384445," ","integrate((a+b*arcsin(d*x^2+c))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \arcsin\left(d x^{2} + c\right) + a}{x^{4}}, x\right)"," ",0,"integral((b*arcsin(d*x^2 + c) + a)/x^4, x)","F",0
398,0,0,0,1.518643," ","integrate((a+b*arcsin(d*x^2+c))/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \arcsin\left(d x^{2} + c\right) + a}{x^{6}}, x\right)"," ",0,"integral((b*arcsin(d*x^2 + c) + a)/x^6, x)","F",0
399,1,46,0,0.591754," ","integrate(x^3*arcsin(b*x^4+a),x, algorithm=""fricas"")","\frac{{\left(b x^{4} + a\right)} \arcsin\left(b x^{4} + a\right) + \sqrt{-b^{2} x^{8} - 2 \, a b x^{4} - a^{2} + 1}}{4 \, b}"," ",0,"1/4*((b*x^4 + a)*arcsin(b*x^4 + a) + sqrt(-b^2*x^8 - 2*a*b*x^4 - a^2 + 1))/b","A",0
400,1,57,0,0.486563," ","integrate(x^(-1+n)*arcsin(a+b*x^n),x, algorithm=""fricas"")","\frac{b x^{n} \arcsin\left(b x^{n} + a\right) + a \arcsin\left(b x^{n} + a\right) + \sqrt{-b^{2} x^{2 \, n} - 2 \, a b x^{n} - a^{2} + 1}}{b n}"," ",0,"(b*x^n*arcsin(b*x^n + a) + a*arcsin(b*x^n + a) + sqrt(-b^2*x^(2*n) - 2*a*b*x^n - a^2 + 1))/(b*n)","A",0
401,1,207,0,0.423841," ","integrate((a+b*arcsin(d*x^2+1))^4,x, algorithm=""fricas"")","\frac{b^{4} d x^{2} \arcsin\left(d x^{2} + 1\right)^{4} + 4 \, a b^{3} d x^{2} \arcsin\left(d x^{2} + 1\right)^{3} + 6 \, {\left(a^{2} b^{2} - 8 \, b^{4}\right)} d x^{2} \arcsin\left(d x^{2} + 1\right)^{2} + 4 \, {\left(a^{3} b - 24 \, a b^{3}\right)} d x^{2} \arcsin\left(d x^{2} + 1\right) + {\left(a^{4} - 48 \, a^{2} b^{2} + 384 \, b^{4}\right)} d x^{2} + 8 \, {\left(b^{4} \arcsin\left(d x^{2} + 1\right)^{3} + 3 \, a b^{3} \arcsin\left(d x^{2} + 1\right)^{2} + a^{3} b - 24 \, a b^{3} + 3 \, {\left(a^{2} b^{2} - 8 \, b^{4}\right)} \arcsin\left(d x^{2} + 1\right)\right)} \sqrt{-d^{2} x^{4} - 2 \, d x^{2}}}{d x}"," ",0,"(b^4*d*x^2*arcsin(d*x^2 + 1)^4 + 4*a*b^3*d*x^2*arcsin(d*x^2 + 1)^3 + 6*(a^2*b^2 - 8*b^4)*d*x^2*arcsin(d*x^2 + 1)^2 + 4*(a^3*b - 24*a*b^3)*d*x^2*arcsin(d*x^2 + 1) + (a^4 - 48*a^2*b^2 + 384*b^4)*d*x^2 + 8*(b^4*arcsin(d*x^2 + 1)^3 + 3*a*b^3*arcsin(d*x^2 + 1)^2 + a^3*b - 24*a*b^3 + 3*(a^2*b^2 - 8*b^4)*arcsin(d*x^2 + 1))*sqrt(-d^2*x^4 - 2*d*x^2))/(d*x)","A",0
402,1,144,0,1.200108," ","integrate((a+b*arcsin(d*x^2+1))^3,x, algorithm=""fricas"")","\frac{b^{3} d x^{2} \arcsin\left(d x^{2} + 1\right)^{3} + 3 \, a b^{2} d x^{2} \arcsin\left(d x^{2} + 1\right)^{2} + 3 \, {\left(a^{2} b - 8 \, b^{3}\right)} d x^{2} \arcsin\left(d x^{2} + 1\right) + {\left(a^{3} - 24 \, a b^{2}\right)} d x^{2} + 6 \, \sqrt{-d^{2} x^{4} - 2 \, d x^{2}} {\left(b^{3} \arcsin\left(d x^{2} + 1\right)^{2} + 2 \, a b^{2} \arcsin\left(d x^{2} + 1\right) + a^{2} b - 8 \, b^{3}\right)}}{d x}"," ",0,"(b^3*d*x^2*arcsin(d*x^2 + 1)^3 + 3*a*b^2*d*x^2*arcsin(d*x^2 + 1)^2 + 3*(a^2*b - 8*b^3)*d*x^2*arcsin(d*x^2 + 1) + (a^3 - 24*a*b^2)*d*x^2 + 6*sqrt(-d^2*x^4 - 2*d*x^2)*(b^3*arcsin(d*x^2 + 1)^2 + 2*a*b^2*arcsin(d*x^2 + 1) + a^2*b - 8*b^3))/(d*x)","A",0
403,1,91,0,0.417809," ","integrate((a+b*arcsin(d*x^2+1))^2,x, algorithm=""fricas"")","\frac{b^{2} d x^{2} \arcsin\left(d x^{2} + 1\right)^{2} + 2 \, a b d x^{2} \arcsin\left(d x^{2} + 1\right) + {\left(a^{2} - 8 \, b^{2}\right)} d x^{2} + 4 \, \sqrt{-d^{2} x^{4} - 2 \, d x^{2}} {\left(b^{2} \arcsin\left(d x^{2} + 1\right) + a b\right)}}{d x}"," ",0,"(b^2*d*x^2*arcsin(d*x^2 + 1)^2 + 2*a*b*d*x^2*arcsin(d*x^2 + 1) + (a^2 - 8*b^2)*d*x^2 + 4*sqrt(-d^2*x^4 - 2*d*x^2)*(b^2*arcsin(d*x^2 + 1) + a*b))/(d*x)","A",0
404,1,48,0,0.645362," ","integrate(a+b*arcsin(d*x^2+1),x, algorithm=""fricas"")","\frac{b d x^{2} \arcsin\left(d x^{2} + 1\right) + a d x^{2} + 2 \, \sqrt{-d^{2} x^{4} - 2 \, d x^{2}} b}{d x}"," ",0,"(b*d*x^2*arcsin(d*x^2 + 1) + a*d*x^2 + 2*sqrt(-d^2*x^4 - 2*d*x^2)*b)/(d*x)","A",0
405,0,0,0,0.567723," ","integrate(1/(a+b*arcsin(d*x^2+1)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \arcsin\left(d x^{2} + 1\right) + a}, x\right)"," ",0,"integral(1/(b*arcsin(d*x^2 + 1) + a), x)","F",0
406,0,0,0,0.452446," ","integrate(1/(a+b*arcsin(d*x^2+1))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} \arcsin\left(d x^{2} + 1\right)^{2} + 2 \, a b \arcsin\left(d x^{2} + 1\right) + a^{2}}, x\right)"," ",0,"integral(1/(b^2*arcsin(d*x^2 + 1)^2 + 2*a*b*arcsin(d*x^2 + 1) + a^2), x)","F",0
407,0,0,0,0.504462," ","integrate(1/(a+b*arcsin(d*x^2+1))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{3} \arcsin\left(d x^{2} + 1\right)^{3} + 3 \, a b^{2} \arcsin\left(d x^{2} + 1\right)^{2} + 3 \, a^{2} b \arcsin\left(d x^{2} + 1\right) + a^{3}}, x\right)"," ",0,"integral(1/(b^3*arcsin(d*x^2 + 1)^3 + 3*a*b^2*arcsin(d*x^2 + 1)^2 + 3*a^2*b*arcsin(d*x^2 + 1) + a^3), x)","F",0
408,1,207,0,1.312407," ","integrate((a+b*arcsin(d*x^2-1))^4,x, algorithm=""fricas"")","\frac{b^{4} d x^{2} \arcsin\left(d x^{2} - 1\right)^{4} + 4 \, a b^{3} d x^{2} \arcsin\left(d x^{2} - 1\right)^{3} + 6 \, {\left(a^{2} b^{2} - 8 \, b^{4}\right)} d x^{2} \arcsin\left(d x^{2} - 1\right)^{2} + 4 \, {\left(a^{3} b - 24 \, a b^{3}\right)} d x^{2} \arcsin\left(d x^{2} - 1\right) + {\left(a^{4} - 48 \, a^{2} b^{2} + 384 \, b^{4}\right)} d x^{2} + 8 \, {\left(b^{4} \arcsin\left(d x^{2} - 1\right)^{3} + 3 \, a b^{3} \arcsin\left(d x^{2} - 1\right)^{2} + a^{3} b - 24 \, a b^{3} + 3 \, {\left(a^{2} b^{2} - 8 \, b^{4}\right)} \arcsin\left(d x^{2} - 1\right)\right)} \sqrt{-d^{2} x^{4} + 2 \, d x^{2}}}{d x}"," ",0,"(b^4*d*x^2*arcsin(d*x^2 - 1)^4 + 4*a*b^3*d*x^2*arcsin(d*x^2 - 1)^3 + 6*(a^2*b^2 - 8*b^4)*d*x^2*arcsin(d*x^2 - 1)^2 + 4*(a^3*b - 24*a*b^3)*d*x^2*arcsin(d*x^2 - 1) + (a^4 - 48*a^2*b^2 + 384*b^4)*d*x^2 + 8*(b^4*arcsin(d*x^2 - 1)^3 + 3*a*b^3*arcsin(d*x^2 - 1)^2 + a^3*b - 24*a*b^3 + 3*(a^2*b^2 - 8*b^4)*arcsin(d*x^2 - 1))*sqrt(-d^2*x^4 + 2*d*x^2))/(d*x)","A",0
409,1,144,0,1.377058," ","integrate((a+b*arcsin(d*x^2-1))^3,x, algorithm=""fricas"")","\frac{b^{3} d x^{2} \arcsin\left(d x^{2} - 1\right)^{3} + 3 \, a b^{2} d x^{2} \arcsin\left(d x^{2} - 1\right)^{2} + 3 \, {\left(a^{2} b - 8 \, b^{3}\right)} d x^{2} \arcsin\left(d x^{2} - 1\right) + {\left(a^{3} - 24 \, a b^{2}\right)} d x^{2} + 6 \, \sqrt{-d^{2} x^{4} + 2 \, d x^{2}} {\left(b^{3} \arcsin\left(d x^{2} - 1\right)^{2} + 2 \, a b^{2} \arcsin\left(d x^{2} - 1\right) + a^{2} b - 8 \, b^{3}\right)}}{d x}"," ",0,"(b^3*d*x^2*arcsin(d*x^2 - 1)^3 + 3*a*b^2*d*x^2*arcsin(d*x^2 - 1)^2 + 3*(a^2*b - 8*b^3)*d*x^2*arcsin(d*x^2 - 1) + (a^3 - 24*a*b^2)*d*x^2 + 6*sqrt(-d^2*x^4 + 2*d*x^2)*(b^3*arcsin(d*x^2 - 1)^2 + 2*a*b^2*arcsin(d*x^2 - 1) + a^2*b - 8*b^3))/(d*x)","A",0
410,1,91,0,0.671575," ","integrate((a+b*arcsin(d*x^2-1))^2,x, algorithm=""fricas"")","\frac{b^{2} d x^{2} \arcsin\left(d x^{2} - 1\right)^{2} + 2 \, a b d x^{2} \arcsin\left(d x^{2} - 1\right) + {\left(a^{2} - 8 \, b^{2}\right)} d x^{2} + 4 \, \sqrt{-d^{2} x^{4} + 2 \, d x^{2}} {\left(b^{2} \arcsin\left(d x^{2} - 1\right) + a b\right)}}{d x}"," ",0,"(b^2*d*x^2*arcsin(d*x^2 - 1)^2 + 2*a*b*d*x^2*arcsin(d*x^2 - 1) + (a^2 - 8*b^2)*d*x^2 + 4*sqrt(-d^2*x^4 + 2*d*x^2)*(b^2*arcsin(d*x^2 - 1) + a*b))/(d*x)","A",0
411,1,48,0,1.394331," ","integrate(a+b*arcsin(d*x^2-1),x, algorithm=""fricas"")","\frac{b d x^{2} \arcsin\left(d x^{2} - 1\right) + a d x^{2} + 2 \, \sqrt{-d^{2} x^{4} + 2 \, d x^{2}} b}{d x}"," ",0,"(b*d*x^2*arcsin(d*x^2 - 1) + a*d*x^2 + 2*sqrt(-d^2*x^4 + 2*d*x^2)*b)/(d*x)","A",0
412,0,0,0,4.189954," ","integrate(1/(a+b*arcsin(d*x^2-1)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \arcsin\left(d x^{2} - 1\right) + a}, x\right)"," ",0,"integral(1/(b*arcsin(d*x^2 - 1) + a), x)","F",0
413,0,0,0,0.448865," ","integrate(1/(a+b*arcsin(d*x^2-1))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} \arcsin\left(d x^{2} - 1\right)^{2} + 2 \, a b \arcsin\left(d x^{2} - 1\right) + a^{2}}, x\right)"," ",0,"integral(1/(b^2*arcsin(d*x^2 - 1)^2 + 2*a*b*arcsin(d*x^2 - 1) + a^2), x)","F",0
414,0,0,0,1.566032," ","integrate(1/(a+b*arcsin(d*x^2-1))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{3} \arcsin\left(d x^{2} - 1\right)^{3} + 3 \, a b^{2} \arcsin\left(d x^{2} - 1\right)^{2} + 3 \, a^{2} b \arcsin\left(d x^{2} - 1\right) + a^{3}}, x\right)"," ",0,"integral(1/(b^3*arcsin(d*x^2 - 1)^3 + 3*a*b^2*arcsin(d*x^2 - 1)^2 + 3*a^2*b*arcsin(d*x^2 - 1) + a^3), x)","F",0
415,1,39,0,0.423543," ","integrate(arcsin(x^2+1)^2,x, algorithm=""fricas"")","x \arctan\left(\frac{\sqrt{-x^{4} - 2 \, x^{2}} {\left(x^{2} + 1\right)}}{x^{4} + 2 \, x^{2}}\right)^{2} - 8 \, x"," ",0,"x*arctan(sqrt(-x^4 - 2*x^2)*(x^2 + 1)/(x^4 + 2*x^2))^2 - 8*x","A",0
416,1,43,0,0.402356," ","integrate(arcsin(x^2-1)^2,x, algorithm=""fricas"")","\frac{x^{2} \arcsin\left(x^{2} - 1\right)^{2} - 8 \, x^{2} + 4 \, \sqrt{-x^{4} + 2 \, x^{2}} \arcsin\left(x^{2} - 1\right)}{x}"," ",0,"(x^2*arcsin(x^2 - 1)^2 - 8*x^2 + 4*sqrt(-x^4 + 2*x^2)*arcsin(x^2 - 1))/x","A",0
417,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x^2+1))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
418,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x^2+1))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
419,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x^2+1))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
420,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x^2+1))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
421,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x^2+1))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
422,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x^2+1))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
423,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x^2+1))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
424,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x^2-1))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
425,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x^2-1))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
426,-2,0,0,0.000000," ","integrate((a+b*arcsin(d*x^2-1))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
427,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x^2-1))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
428,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x^2-1))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
429,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x^2-1))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
430,-2,0,0,0.000000," ","integrate(1/(a+b*arcsin(d*x^2-1))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
431,0,0,0,0.558970," ","integrate((a+b*arcsin((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b \arcsin\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{n}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b*arcsin(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^n/(c^2*x^2 - 1), x)","F",0
432,0,0,0,0.463731," ","integrate((a+b*arcsin((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^3/(-c^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b^{3} \arcsin\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{3} + 3 \, a b^{2} \arcsin\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{2} + 3 \, a^{2} b \arcsin\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a^{3}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b^3*arcsin(sqrt(-c*x + 1)/sqrt(c*x + 1))^3 + 3*a*b^2*arcsin(sqrt(-c*x + 1)/sqrt(c*x + 1))^2 + 3*a^2*b*arcsin(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a^3)/(c^2*x^2 - 1), x)","F",0
433,0,0,0,0.547738," ","integrate((a+b*arcsin((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2/(-c^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b^{2} \arcsin\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{2} + 2 \, a b \arcsin\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a^{2}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b^2*arcsin(sqrt(-c*x + 1)/sqrt(c*x + 1))^2 + 2*a*b*arcsin(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a^2)/(c^2*x^2 - 1), x)","F",0
434,0,0,0,0.435830," ","integrate((a+b*arcsin((-c*x+1)^(1/2)/(c*x+1)^(1/2)))/(-c^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \arcsin\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b*arcsin(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)/(c^2*x^2 - 1), x)","F",0
435,0,0,0,0.484252," ","integrate(1/(-c^2*x^2+1)/(a+b*arcsin((-c*x+1)^(1/2)/(c*x+1)^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{a c^{2} x^{2} + {\left(b c^{2} x^{2} - b\right)} \arcsin\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) - a}, x\right)"," ",0,"integral(-1/(a*c^2*x^2 + (b*c^2*x^2 - b)*arcsin(sqrt(-c*x + 1)/sqrt(c*x + 1)) - a), x)","F",0
436,0,0,0,0.561891," ","integrate(1/(-c^2*x^2+1)/(a+b*arcsin((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{a^{2} c^{2} x^{2} + {\left(b^{2} c^{2} x^{2} - b^{2}\right)} \arcsin\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{2} - a^{2} + 2 \, {\left(a b c^{2} x^{2} - a b\right)} \arcsin\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)}, x\right)"," ",0,"integral(-1/(a^2*c^2*x^2 + (b^2*c^2*x^2 - b^2)*arcsin(sqrt(-c*x + 1)/sqrt(c*x + 1))^2 - a^2 + 2*(a*b*c^2*x^2 - a*b)*arcsin(sqrt(-c*x + 1)/sqrt(c*x + 1))), x)","F",0
437,1,17,0,0.471648," ","integrate(exp(x)*arcsin(exp(x)),x, algorithm=""fricas"")","\arcsin\left(e^{x}\right) e^{x} + \sqrt{-e^{\left(2 \, x\right)} + 1}"," ",0,"arcsin(e^x)*e^x + sqrt(-e^(2*x) + 1)","A",0
438,-2,0,0,0.000000," ","integrate(arcsin(c*exp(b*x+a)),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
439,1,54,0,0.453966," ","integrate(exp(arcsin(a*x))*x^3,x, algorithm=""fricas"")","\frac{{\left(20 \, a^{4} x^{4} - 3 \, a^{2} x^{2} + {\left(5 \, a^{3} x^{3} + 6 \, a x\right)} \sqrt{-a^{2} x^{2} + 1} - 6\right)} e^{\left(\arcsin\left(a x\right)\right)}}{85 \, a^{4}}"," ",0,"1/85*(20*a^4*x^4 - 3*a^2*x^2 + (5*a^3*x^3 + 6*a*x)*sqrt(-a^2*x^2 + 1) - 6)*e^(arcsin(a*x))/a^4","A",0
440,1,45,0,0.551144," ","integrate(exp(arcsin(a*x))*x^2,x, algorithm=""fricas"")","\frac{{\left(3 \, a^{3} x^{3} - a x + {\left(a^{2} x^{2} + 1\right)} \sqrt{-a^{2} x^{2} + 1}\right)} e^{\left(\arcsin\left(a x\right)\right)}}{10 \, a^{3}}"," ",0,"1/10*(3*a^3*x^3 - a*x + (a^2*x^2 + 1)*sqrt(-a^2*x^2 + 1))*e^(arcsin(a*x))/a^3","A",0
441,1,35,0,0.427754," ","integrate(exp(arcsin(a*x))*x,x, algorithm=""fricas"")","\frac{{\left(2 \, a^{2} x^{2} + \sqrt{-a^{2} x^{2} + 1} a x - 1\right)} e^{\left(\arcsin\left(a x\right)\right)}}{5 \, a^{2}}"," ",0,"1/5*(2*a^2*x^2 + sqrt(-a^2*x^2 + 1)*a*x - 1)*e^(arcsin(a*x))/a^2","A",0
442,1,26,0,0.496333," ","integrate(exp(arcsin(a*x)),x, algorithm=""fricas"")","\frac{{\left(a x + \sqrt{-a^{2} x^{2} + 1}\right)} e^{\left(\arcsin\left(a x\right)\right)}}{2 \, a}"," ",0,"1/2*(a*x + sqrt(-a^2*x^2 + 1))*e^(arcsin(a*x))/a","A",0
443,0,0,0,0.550133," ","integrate(exp(arcsin(a*x))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\arcsin\left(a x\right)\right)}}{x}, x\right)"," ",0,"integral(e^(arcsin(a*x))/x, x)","F",0
444,0,0,0,0.499318," ","integrate(exp(arcsin(a*x))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\arcsin\left(a x\right)\right)}}{x^{2}}, x\right)"," ",0,"integral(e^(arcsin(a*x))/x^2, x)","F",0
445,0,0,0,0.478229," ","integrate(exp(arcsin(a*x)^2)*x^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{3} e^{\left(\arcsin\left(a x\right)^{2}\right)}, x\right)"," ",0,"integral(x^3*e^(arcsin(a*x)^2), x)","F",0
446,0,0,0,0.557183," ","integrate(exp(arcsin(a*x)^2)*x^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{2} e^{\left(\arcsin\left(a x\right)^{2}\right)}, x\right)"," ",0,"integral(x^2*e^(arcsin(a*x)^2), x)","F",0
447,0,0,0,0.436465," ","integrate(exp(arcsin(a*x)^2)*x,x, algorithm=""fricas"")","{\rm integral}\left(x e^{\left(\arcsin\left(a x\right)^{2}\right)}, x\right)"," ",0,"integral(x*e^(arcsin(a*x)^2), x)","F",0
448,0,0,0,0.517040," ","integrate(exp(arcsin(a*x)^2),x, algorithm=""fricas"")","{\rm integral}\left(e^{\left(\arcsin\left(a x\right)^{2}\right)}, x\right)"," ",0,"integral(e^(arcsin(a*x)^2), x)","F",0
449,0,0,0,0.439736," ","integrate(exp(arcsin(a*x)^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\arcsin\left(a x\right)^{2}\right)}}{x}, x\right)"," ",0,"integral(e^(arcsin(a*x)^2)/x, x)","F",0
450,0,0,0,0.486967," ","integrate(exp(arcsin(a*x)^2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\arcsin\left(a x\right)^{2}\right)}}{x^{2}}, x\right)"," ",0,"integral(e^(arcsin(a*x)^2)/x^2, x)","F",0
451,1,129,0,0.514664," ","integrate(exp(arcsin(b*x+a))*x^3,x, algorithm=""fricas"")","\frac{{\left(40 \, b^{4} x^{4} + 7 \, a b^{3} x^{3} - 3 \, {\left(5 \, a^{2} + 2\right)} b^{2} x^{2} + 6 \, a^{4} + 3 \, {\left(8 \, a^{3} + 13 \, a\right)} b x - 57 \, a^{2} + {\left(10 \, b^{3} x^{3} - 21 \, a b^{2} x^{2} - 24 \, a^{3} + 6 \, {\left(5 \, a^{2} + 2\right)} b x - 39 \, a\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} - 12\right)} e^{\left(\arcsin\left(b x + a\right)\right)}}{170 \, b^{4}}"," ",0,"1/170*(40*b^4*x^4 + 7*a*b^3*x^3 - 3*(5*a^2 + 2)*b^2*x^2 + 6*a^4 + 3*(8*a^3 + 13*a)*b*x - 57*a^2 + (10*b^3*x^3 - 21*a*b^2*x^2 - 24*a^3 + 6*(5*a^2 + 2)*b*x - 39*a)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1) - 12)*e^(arcsin(b*x + a))/b^4","A",0
452,1,85,0,0.531199," ","integrate(exp(arcsin(b*x+a))*x^2,x, algorithm=""fricas"")","\frac{{\left(3 \, b^{3} x^{3} + a b^{2} x^{2} - {\left(2 \, a^{2} + 1\right)} b x + {\left(b^{2} x^{2} - 2 \, a b x + 2 \, a^{2} + 1\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} + 3 \, a\right)} e^{\left(\arcsin\left(b x + a\right)\right)}}{10 \, b^{3}}"," ",0,"1/10*(3*b^3*x^3 + a*b^2*x^2 - (2*a^2 + 1)*b*x + (b^2*x^2 - 2*a*b*x + 2*a^2 + 1)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1) + 3*a)*e^(arcsin(b*x + a))/b^3","A",0
453,1,63,0,0.525954," ","integrate(exp(arcsin(b*x+a))*x,x, algorithm=""fricas"")","\frac{{\left(4 \, b^{2} x^{2} + 3 \, a b x - a^{2} + \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(2 \, b x - 3 \, a\right)} - 2\right)} e^{\left(\arcsin\left(b x + a\right)\right)}}{10 \, b^{2}}"," ",0,"1/10*(4*b^2*x^2 + 3*a*b*x - a^2 + sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(2*b*x - 3*a) - 2)*e^(arcsin(b*x + a))/b^2","A",0
454,1,39,0,0.553023," ","integrate(exp(arcsin(b*x+a)),x, algorithm=""fricas"")","\frac{{\left(b x + a + \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}\right)} e^{\left(\arcsin\left(b x + a\right)\right)}}{2 \, b}"," ",0,"1/2*(b*x + a + sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))*e^(arcsin(b*x + a))/b","A",0
455,0,0,0,0.602854," ","integrate(exp(arcsin(b*x+a))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\arcsin\left(b x + a\right)\right)}}{x}, x\right)"," ",0,"integral(e^(arcsin(b*x + a))/x, x)","F",0
456,0,0,0,0.483618," ","integrate(exp(arcsin(b*x+a))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\arcsin\left(b x + a\right)\right)}}{x^{2}}, x\right)"," ",0,"integral(e^(arcsin(b*x + a))/x^2, x)","F",0
457,0,0,0,0.423634," ","integrate(exp(arcsin(b*x+a)^2)*x^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{3} e^{\left(\arcsin\left(b x + a\right)^{2}\right)}, x\right)"," ",0,"integral(x^3*e^(arcsin(b*x + a)^2), x)","F",0
458,0,0,0,0.595927," ","integrate(exp(arcsin(b*x+a)^2)*x^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{2} e^{\left(\arcsin\left(b x + a\right)^{2}\right)}, x\right)"," ",0,"integral(x^2*e^(arcsin(b*x + a)^2), x)","F",0
459,0,0,0,0.419481," ","integrate(exp(arcsin(b*x+a)^2)*x,x, algorithm=""fricas"")","{\rm integral}\left(x e^{\left(\arcsin\left(b x + a\right)^{2}\right)}, x\right)"," ",0,"integral(x*e^(arcsin(b*x + a)^2), x)","F",0
460,0,0,0,0.432495," ","integrate(exp(arcsin(b*x+a)^2),x, algorithm=""fricas"")","{\rm integral}\left(e^{\left(\arcsin\left(b x + a\right)^{2}\right)}, x\right)"," ",0,"integral(e^(arcsin(b*x + a)^2), x)","F",0
461,0,0,0,0.404247," ","integrate(exp(arcsin(b*x+a)^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\arcsin\left(b x + a\right)^{2}\right)}}{x}, x\right)"," ",0,"integral(e^(arcsin(b*x + a)^2)/x, x)","F",0
462,0,0,0,0.406588," ","integrate(exp(arcsin(b*x+a)^2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\arcsin\left(b x + a\right)^{2}\right)}}{x^{2}}, x\right)"," ",0,"integral(e^(arcsin(b*x + a)^2)/x^2, x)","F",0
463,1,71,0,0.423481," ","integrate(exp(arcsin(a*x))*(-a^2*x^2+1)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(17 \, a^{6} x^{6} - 81 \, a^{4} x^{4} + 183 \, a^{2} x^{2} - 6 \, {\left(17 \, a^{5} x^{5} - 54 \, a^{3} x^{3} + 61 \, a x\right)} \sqrt{-a^{2} x^{2} + 1} - 263\right)} e^{\left(\arcsin\left(a x\right)\right)}}{629 \, a}"," ",0,"-1/629*(17*a^6*x^6 - 81*a^4*x^4 + 183*a^2*x^2 - 6*(17*a^5*x^5 - 54*a^3*x^3 + 61*a*x)*sqrt(-a^2*x^2 + 1) - 263)*e^(arcsin(a*x))/a","A",0
464,1,55,0,0.485109," ","integrate(exp(arcsin(a*x))*(-a^2*x^2+1)^(3/2),x, algorithm=""fricas"")","\frac{{\left(5 \, a^{4} x^{4} - 22 \, a^{2} x^{2} - 4 \, {\left(5 \, a^{3} x^{3} - 11 \, a x\right)} \sqrt{-a^{2} x^{2} + 1} + 41\right)} e^{\left(\arcsin\left(a x\right)\right)}}{85 \, a}"," ",0,"1/85*(5*a^4*x^4 - 22*a^2*x^2 - 4*(5*a^3*x^3 - 11*a*x)*sqrt(-a^2*x^2 + 1) + 41)*e^(arcsin(a*x))/a","A",0
465,1,35,0,0.556306," ","integrate(exp(arcsin(a*x))*(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(a^{2} x^{2} - 2 \, \sqrt{-a^{2} x^{2} + 1} a x - 3\right)} e^{\left(\arcsin\left(a x\right)\right)}}{5 \, a}"," ",0,"-1/5*(a^2*x^2 - 2*sqrt(-a^2*x^2 + 1)*a*x - 3)*e^(arcsin(a*x))/a","A",0
466,1,9,0,0.446448," ","integrate(exp(arcsin(a*x))/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{e^{\left(\arcsin\left(a x\right)\right)}}{a}"," ",0,"e^(arcsin(a*x))/a","A",0
467,0,0,0,0.566367," ","integrate(exp(arcsin(a*x))/(-a^2*x^2+1)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-a^{2} x^{2} + 1} e^{\left(\arcsin\left(a x\right)\right)}}{a^{4} x^{4} - 2 \, a^{2} x^{2} + 1}, x\right)"," ",0,"integral(sqrt(-a^2*x^2 + 1)*e^(arcsin(a*x))/(a^4*x^4 - 2*a^2*x^2 + 1), x)","F",0
468,0,0,0,0.459638," ","integrate(exp(arcsin(a*x))/(-a^2*x^2+1)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} e^{\left(\arcsin\left(a x\right)\right)}}{a^{6} x^{6} - 3 \, a^{4} x^{4} + 3 \, a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*e^(arcsin(a*x))/(a^6*x^6 - 3*a^4*x^4 + 3*a^2*x^2 - 1), x)","F",0
469,1,141,0,0.499912," ","integrate(arcsin(c/(b*x+a)),x, algorithm=""fricas"")","\frac{b x \arcsin\left(\frac{c}{b x + a}\right) - 2 \, a \arctan\left(-\frac{b x - {\left(b x + a\right)} \sqrt{\frac{b^{2} x^{2} + 2 \, a b x + a^{2} - c^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}} + a}{c}\right) - c \log\left(-b x + {\left(b x + a\right)} \sqrt{\frac{b^{2} x^{2} + 2 \, a b x + a^{2} - c^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}} - a\right)}{b}"," ",0,"(b*x*arcsin(c/(b*x + a)) - 2*a*arctan(-(b*x - (b*x + a)*sqrt((b^2*x^2 + 2*a*b*x + a^2 - c^2)/(b^2*x^2 + 2*a*b*x + a^2)) + a)/c) - c*log(-b*x + (b*x + a)*sqrt((b^2*x^2 + 2*a*b*x + a^2 - c^2)/(b^2*x^2 + 2*a*b*x + a^2)) - a))/b","B",0
470,1,3,0,0.429478," ","integrate(x/arcsin(sin(x)),x, algorithm=""fricas"")","-x"," ",0,"-x","A",0
471,1,41,0,0.448239," ","integrate(arcsin((b*x^2+1)^(1/2))^n/(b*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{-b x^{2}} \arcsin\left(\sqrt{b x^{2} + 1}\right)^{n} \arcsin\left(\sqrt{b x^{2} + 1}\right)}{{\left(b n + b\right)} x}"," ",0,"sqrt(-b*x^2)*arcsin(sqrt(b*x^2 + 1))^n*arcsin(sqrt(b*x^2 + 1))/((b*n + b)*x)","A",0
472,1,28,0,0.425934," ","integrate(1/arcsin((b*x^2+1)^(1/2))/(b*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{-b x^{2}} \log\left(-\arcsin\left(\sqrt{b x^{2} + 1}\right)\right)}{b x}"," ",0,"sqrt(-b*x^2)*log(-arcsin(sqrt(b*x^2 + 1)))/(b*x)","A",0
473,1,14,0,0.421995," ","integrate(x/(-x^2+1)+1/arcsin(x)/(-x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(x^{2} - 1\right) + \log\left(-\arcsin\left(x\right)\right)"," ",0,"-1/2*log(x^2 - 1) + log(-arcsin(x))","A",0
474,1,14,0,0.417969," ","integrate((x*arcsin(x)+(-x^2+1)^(1/2))/(arcsin(x)-x^2*arcsin(x)),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(x^{2} - 1\right) + \log\left(-\arcsin\left(x\right)\right)"," ",0,"-1/2*log(x^2 - 1) + log(-arcsin(x))","A",0
