1,1,151,0,5.556224," ","integrate(x**4*(-c**2*d*x**2+d)*(a+b*asin(c*x)),x)","\begin{cases} - \frac{a c^{2} d x^{7}}{7} + \frac{a d x^{5}}{5} - \frac{b c^{2} d x^{7} \operatorname{asin}{\left(c x \right)}}{7} - \frac{b c d x^{6} \sqrt{- c^{2} x^{2} + 1}}{49} + \frac{b d x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{19 b d x^{4} \sqrt{- c^{2} x^{2} + 1}}{1225 c} + \frac{76 b d x^{2} \sqrt{- c^{2} x^{2} + 1}}{3675 c^{3}} + \frac{152 b d \sqrt{- c^{2} x^{2} + 1}}{3675 c^{5}} & \text{for}\: c \neq 0 \\\frac{a d x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**2*d*x**7/7 + a*d*x**5/5 - b*c**2*d*x**7*asin(c*x)/7 - b*c*d*x**6*sqrt(-c**2*x**2 + 1)/49 + b*d*x**5*asin(c*x)/5 + 19*b*d*x**4*sqrt(-c**2*x**2 + 1)/(1225*c) + 76*b*d*x**2*sqrt(-c**2*x**2 + 1)/(3675*c**3) + 152*b*d*sqrt(-c**2*x**2 + 1)/(3675*c**5), Ne(c, 0)), (a*d*x**5/5, True))","A",0
2,1,138,0,3.544985," ","integrate(x**3*(-c**2*d*x**2+d)*(a+b*asin(c*x)),x)","\begin{cases} - \frac{a c^{2} d x^{6}}{6} + \frac{a d x^{4}}{4} - \frac{b c^{2} d x^{6} \operatorname{asin}{\left(c x \right)}}{6} - \frac{b c d x^{5} \sqrt{- c^{2} x^{2} + 1}}{36} + \frac{b d x^{4} \operatorname{asin}{\left(c x \right)}}{4} + \frac{b d x^{3} \sqrt{- c^{2} x^{2} + 1}}{36 c} + \frac{b d x \sqrt{- c^{2} x^{2} + 1}}{24 c^{3}} - \frac{b d \operatorname{asin}{\left(c x \right)}}{24 c^{4}} & \text{for}\: c \neq 0 \\\frac{a d x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**2*d*x**6/6 + a*d*x**4/4 - b*c**2*d*x**6*asin(c*x)/6 - b*c*d*x**5*sqrt(-c**2*x**2 + 1)/36 + b*d*x**4*asin(c*x)/4 + b*d*x**3*sqrt(-c**2*x**2 + 1)/(36*c) + b*d*x*sqrt(-c**2*x**2 + 1)/(24*c**3) - b*d*asin(c*x)/(24*c**4), Ne(c, 0)), (a*d*x**4/4, True))","A",0
3,1,126,0,1.977073," ","integrate(x**2*(-c**2*d*x**2+d)*(a+b*asin(c*x)),x)","\begin{cases} - \frac{a c^{2} d x^{5}}{5} + \frac{a d x^{3}}{3} - \frac{b c^{2} d x^{5} \operatorname{asin}{\left(c x \right)}}{5} - \frac{b c d x^{4} \sqrt{- c^{2} x^{2} + 1}}{25} + \frac{b d x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{13 b d x^{2} \sqrt{- c^{2} x^{2} + 1}}{225 c} + \frac{26 b d \sqrt{- c^{2} x^{2} + 1}}{225 c^{3}} & \text{for}\: c \neq 0 \\\frac{a d x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**2*d*x**5/5 + a*d*x**3/3 - b*c**2*d*x**5*asin(c*x)/5 - b*c*d*x**4*sqrt(-c**2*x**2 + 1)/25 + b*d*x**3*asin(c*x)/3 + 13*b*d*x**2*sqrt(-c**2*x**2 + 1)/(225*c) + 26*b*d*sqrt(-c**2*x**2 + 1)/(225*c**3), Ne(c, 0)), (a*d*x**3/3, True))","A",0
4,1,117,0,1.057741," ","integrate(x*(-c**2*d*x**2+d)*(a+b*asin(c*x)),x)","\begin{cases} - \frac{a c^{2} d x^{4}}{4} + \frac{a d x^{2}}{2} - \frac{b c^{2} d x^{4} \operatorname{asin}{\left(c x \right)}}{4} - \frac{b c d x^{3} \sqrt{- c^{2} x^{2} + 1}}{16} + \frac{b d x^{2} \operatorname{asin}{\left(c x \right)}}{2} + \frac{5 b d x \sqrt{- c^{2} x^{2} + 1}}{32 c} - \frac{5 b d \operatorname{asin}{\left(c x \right)}}{32 c^{2}} & \text{for}\: c \neq 0 \\\frac{a d x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**2*d*x**4/4 + a*d*x**2/2 - b*c**2*d*x**4*asin(c*x)/4 - b*c*d*x**3*sqrt(-c**2*x**2 + 1)/16 + b*d*x**2*asin(c*x)/2 + 5*b*d*x*sqrt(-c**2*x**2 + 1)/(32*c) - 5*b*d*asin(c*x)/(32*c**2), Ne(c, 0)), (a*d*x**2/2, True))","A",0
5,1,90,0,0.518420," ","integrate((-c**2*d*x**2+d)*(a+b*asin(c*x)),x)","\begin{cases} - \frac{a c^{2} d x^{3}}{3} + a d x - \frac{b c^{2} d x^{3} \operatorname{asin}{\left(c x \right)}}{3} - \frac{b c d x^{2} \sqrt{- c^{2} x^{2} + 1}}{9} + b d x \operatorname{asin}{\left(c x \right)} + \frac{7 b d \sqrt{- c^{2} x^{2} + 1}}{9 c} & \text{for}\: c \neq 0 \\a d x & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**2*d*x**3/3 + a*d*x - b*c**2*d*x**3*asin(c*x)/3 - b*c*d*x**2*sqrt(-c**2*x**2 + 1)/9 + b*d*x*asin(c*x) + 7*b*d*sqrt(-c**2*x**2 + 1)/(9*c), Ne(c, 0)), (a*d*x, True))","A",0
6,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)*(a+b*asin(c*x))/x,x)","- d \left(\int \left(- \frac{a}{x}\right)\, dx + \int a c^{2} x\, dx + \int \left(- \frac{b \operatorname{asin}{\left(c x \right)}}{x}\right)\, dx + \int b c^{2} x \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"-d*(Integral(-a/x, x) + Integral(a*c**2*x, x) + Integral(-b*asin(c*x)/x, x) + Integral(b*c**2*x*asin(c*x), x))","F",0
7,1,82,0,4.085298," ","integrate((-c**2*d*x**2+d)*(a+b*asin(c*x))/x**2,x)","- a c^{2} d x - \frac{a d}{x} - b c^{2} d \left(\begin{cases} 0 & \text{for}\: c = 0 \\x \operatorname{asin}{\left(c x \right)} + \frac{\sqrt{- c^{2} x^{2} + 1}}{c} & \text{otherwise} \end{cases}\right) + b c d \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{c x} \right)} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{c x} \right)} & \text{otherwise} \end{cases}\right) - \frac{b d \operatorname{asin}{\left(c x \right)}}{x}"," ",0,"-a*c**2*d*x - a*d/x - b*c**2*d*Piecewise((0, Eq(c, 0)), (x*asin(c*x) + sqrt(-c**2*x**2 + 1)/c, True)) + b*c*d*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) - b*d*asin(c*x)/x","A",0
8,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)*(a+b*asin(c*x))/x**3,x)","- d \left(\int \left(- \frac{a}{x^{3}}\right)\, dx + \int \frac{a c^{2}}{x}\, dx + \int \left(- \frac{b \operatorname{asin}{\left(c x \right)}}{x^{3}}\right)\, dx + \int \frac{b c^{2} \operatorname{asin}{\left(c x \right)}}{x}\, dx\right)"," ",0,"-d*(Integral(-a/x**3, x) + Integral(a*c**2/x, x) + Integral(-b*asin(c*x)/x**3, x) + Integral(b*c**2*asin(c*x)/x, x))","F",0
9,1,178,0,5.012603," ","integrate((-c**2*d*x**2+d)*(a+b*asin(c*x))/x**4,x)","\frac{a c^{2} d}{x} - \frac{a d}{3 x^{3}} - b c^{3} d \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{c x} \right)} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{c x} \right)} & \text{otherwise} \end{cases}\right) + \frac{b c^{2} d \operatorname{asin}{\left(c x \right)}}{x} + \frac{b c d \left(\begin{cases} - \frac{c^{2} \operatorname{acosh}{\left(\frac{1}{c x} \right)}}{2} - \frac{c \sqrt{-1 + \frac{1}{c^{2} x^{2}}}}{2 x} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\\frac{i c^{2} \operatorname{asin}{\left(\frac{1}{c x} \right)}}{2} - \frac{i c}{2 x \sqrt{1 - \frac{1}{c^{2} x^{2}}}} + \frac{i}{2 c x^{3} \sqrt{1 - \frac{1}{c^{2} x^{2}}}} & \text{otherwise} \end{cases}\right)}{3} - \frac{b d \operatorname{asin}{\left(c x \right)}}{3 x^{3}}"," ",0,"a*c**2*d/x - a*d/(3*x**3) - b*c**3*d*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) + b*c**2*d*asin(c*x)/x + b*c*d*Piecewise((-c**2*acosh(1/(c*x))/2 - c*sqrt(-1 + 1/(c**2*x**2))/(2*x), 1/Abs(c**2*x**2) > 1), (I*c**2*asin(1/(c*x))/2 - I*c/(2*x*sqrt(1 - 1/(c**2*x**2))) + I/(2*c*x**3*sqrt(1 - 1/(c**2*x**2))), True))/3 - b*d*asin(c*x)/(3*x**3)","A",0
10,1,230,0,15.838610," ","integrate(x**4*(-c**2*d*x**2+d)**2*(a+b*asin(c*x)),x)","\begin{cases} \frac{a c^{4} d^{2} x^{9}}{9} - \frac{2 a c^{2} d^{2} x^{7}}{7} + \frac{a d^{2} x^{5}}{5} + \frac{b c^{4} d^{2} x^{9} \operatorname{asin}{\left(c x \right)}}{9} + \frac{b c^{3} d^{2} x^{8} \sqrt{- c^{2} x^{2} + 1}}{81} - \frac{2 b c^{2} d^{2} x^{7} \operatorname{asin}{\left(c x \right)}}{7} - \frac{106 b c d^{2} x^{6} \sqrt{- c^{2} x^{2} + 1}}{3969} + \frac{b d^{2} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{263 b d^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{33075 c} + \frac{1052 b d^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{99225 c^{3}} + \frac{2104 b d^{2} \sqrt{- c^{2} x^{2} + 1}}{99225 c^{5}} & \text{for}\: c \neq 0 \\\frac{a d^{2} x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**4*d**2*x**9/9 - 2*a*c**2*d**2*x**7/7 + a*d**2*x**5/5 + b*c**4*d**2*x**9*asin(c*x)/9 + b*c**3*d**2*x**8*sqrt(-c**2*x**2 + 1)/81 - 2*b*c**2*d**2*x**7*asin(c*x)/7 - 106*b*c*d**2*x**6*sqrt(-c**2*x**2 + 1)/3969 + b*d**2*x**5*asin(c*x)/5 + 263*b*d**2*x**4*sqrt(-c**2*x**2 + 1)/(33075*c) + 1052*b*d**2*x**2*sqrt(-c**2*x**2 + 1)/(99225*c**3) + 2104*b*d**2*sqrt(-c**2*x**2 + 1)/(99225*c**5), Ne(c, 0)), (a*d**2*x**5/5, True))","A",0
11,1,218,0,10.591050," ","integrate(x**3*(-c**2*d*x**2+d)**2*(a+b*asin(c*x)),x)","\begin{cases} \frac{a c^{4} d^{2} x^{8}}{8} - \frac{a c^{2} d^{2} x^{6}}{3} + \frac{a d^{2} x^{4}}{4} + \frac{b c^{4} d^{2} x^{8} \operatorname{asin}{\left(c x \right)}}{8} + \frac{b c^{3} d^{2} x^{7} \sqrt{- c^{2} x^{2} + 1}}{64} - \frac{b c^{2} d^{2} x^{6} \operatorname{asin}{\left(c x \right)}}{3} - \frac{43 b c d^{2} x^{5} \sqrt{- c^{2} x^{2} + 1}}{1152} + \frac{b d^{2} x^{4} \operatorname{asin}{\left(c x \right)}}{4} + \frac{73 b d^{2} x^{3} \sqrt{- c^{2} x^{2} + 1}}{4608 c} + \frac{73 b d^{2} x \sqrt{- c^{2} x^{2} + 1}}{3072 c^{3}} - \frac{73 b d^{2} \operatorname{asin}{\left(c x \right)}}{3072 c^{4}} & \text{for}\: c \neq 0 \\\frac{a d^{2} x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**4*d**2*x**8/8 - a*c**2*d**2*x**6/3 + a*d**2*x**4/4 + b*c**4*d**2*x**8*asin(c*x)/8 + b*c**3*d**2*x**7*sqrt(-c**2*x**2 + 1)/64 - b*c**2*d**2*x**6*asin(c*x)/3 - 43*b*c*d**2*x**5*sqrt(-c**2*x**2 + 1)/1152 + b*d**2*x**4*asin(c*x)/4 + 73*b*d**2*x**3*sqrt(-c**2*x**2 + 1)/(4608*c) + 73*b*d**2*x*sqrt(-c**2*x**2 + 1)/(3072*c**3) - 73*b*d**2*asin(c*x)/(3072*c**4), Ne(c, 0)), (a*d**2*x**4/4, True))","A",0
12,1,202,0,5.927950," ","integrate(x**2*(-c**2*d*x**2+d)**2*(a+b*asin(c*x)),x)","\begin{cases} \frac{a c^{4} d^{2} x^{7}}{7} - \frac{2 a c^{2} d^{2} x^{5}}{5} + \frac{a d^{2} x^{3}}{3} + \frac{b c^{4} d^{2} x^{7} \operatorname{asin}{\left(c x \right)}}{7} + \frac{b c^{3} d^{2} x^{6} \sqrt{- c^{2} x^{2} + 1}}{49} - \frac{2 b c^{2} d^{2} x^{5} \operatorname{asin}{\left(c x \right)}}{5} - \frac{68 b c d^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{1225} + \frac{b d^{2} x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{409 b d^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{11025 c} + \frac{818 b d^{2} \sqrt{- c^{2} x^{2} + 1}}{11025 c^{3}} & \text{for}\: c \neq 0 \\\frac{a d^{2} x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**4*d**2*x**7/7 - 2*a*c**2*d**2*x**5/5 + a*d**2*x**3/3 + b*c**4*d**2*x**7*asin(c*x)/7 + b*c**3*d**2*x**6*sqrt(-c**2*x**2 + 1)/49 - 2*b*c**2*d**2*x**5*asin(c*x)/5 - 68*b*c*d**2*x**4*sqrt(-c**2*x**2 + 1)/1225 + b*d**2*x**3*asin(c*x)/3 + 409*b*d**2*x**2*sqrt(-c**2*x**2 + 1)/(11025*c) + 818*b*d**2*sqrt(-c**2*x**2 + 1)/(11025*c**3), Ne(c, 0)), (a*d**2*x**3/3, True))","A",0
13,1,190,0,3.925484," ","integrate(x*(-c**2*d*x**2+d)**2*(a+b*asin(c*x)),x)","\begin{cases} \frac{a c^{4} d^{2} x^{6}}{6} - \frac{a c^{2} d^{2} x^{4}}{2} + \frac{a d^{2} x^{2}}{2} + \frac{b c^{4} d^{2} x^{6} \operatorname{asin}{\left(c x \right)}}{6} + \frac{b c^{3} d^{2} x^{5} \sqrt{- c^{2} x^{2} + 1}}{36} - \frac{b c^{2} d^{2} x^{4} \operatorname{asin}{\left(c x \right)}}{2} - \frac{13 b c d^{2} x^{3} \sqrt{- c^{2} x^{2} + 1}}{144} + \frac{b d^{2} x^{2} \operatorname{asin}{\left(c x \right)}}{2} + \frac{11 b d^{2} x \sqrt{- c^{2} x^{2} + 1}}{96 c} - \frac{11 b d^{2} \operatorname{asin}{\left(c x \right)}}{96 c^{2}} & \text{for}\: c \neq 0 \\\frac{a d^{2} x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**4*d**2*x**6/6 - a*c**2*d**2*x**4/2 + a*d**2*x**2/2 + b*c**4*d**2*x**6*asin(c*x)/6 + b*c**3*d**2*x**5*sqrt(-c**2*x**2 + 1)/36 - b*c**2*d**2*x**4*asin(c*x)/2 - 13*b*c*d**2*x**3*sqrt(-c**2*x**2 + 1)/144 + b*d**2*x**2*asin(c*x)/2 + 11*b*d**2*x*sqrt(-c**2*x**2 + 1)/(96*c) - 11*b*d**2*asin(c*x)/(96*c**2), Ne(c, 0)), (a*d**2*x**2/2, True))","A",0
14,1,165,0,2.140616," ","integrate((-c**2*d*x**2+d)**2*(a+b*asin(c*x)),x)","\begin{cases} \frac{a c^{4} d^{2} x^{5}}{5} - \frac{2 a c^{2} d^{2} x^{3}}{3} + a d^{2} x + \frac{b c^{4} d^{2} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{b c^{3} d^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{25} - \frac{2 b c^{2} d^{2} x^{3} \operatorname{asin}{\left(c x \right)}}{3} - \frac{38 b c d^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{225} + b d^{2} x \operatorname{asin}{\left(c x \right)} + \frac{149 b d^{2} \sqrt{- c^{2} x^{2} + 1}}{225 c} & \text{for}\: c \neq 0 \\a d^{2} x & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**4*d**2*x**5/5 - 2*a*c**2*d**2*x**3/3 + a*d**2*x + b*c**4*d**2*x**5*asin(c*x)/5 + b*c**3*d**2*x**4*sqrt(-c**2*x**2 + 1)/25 - 2*b*c**2*d**2*x**3*asin(c*x)/3 - 38*b*c*d**2*x**2*sqrt(-c**2*x**2 + 1)/225 + b*d**2*x*asin(c*x) + 149*b*d**2*sqrt(-c**2*x**2 + 1)/(225*c), Ne(c, 0)), (a*d**2*x, True))","A",0
15,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**2*(a+b*asin(c*x))/x,x)","d^{2} \left(\int \frac{a}{x}\, dx + \int \left(- 2 a c^{2} x\right)\, dx + \int a c^{4} x^{3}\, dx + \int \frac{b \operatorname{asin}{\left(c x \right)}}{x}\, dx + \int \left(- 2 b c^{2} x \operatorname{asin}{\left(c x \right)}\right)\, dx + \int b c^{4} x^{3} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"d**2*(Integral(a/x, x) + Integral(-2*a*c**2*x, x) + Integral(a*c**4*x**3, x) + Integral(b*asin(c*x)/x, x) + Integral(-2*b*c**2*x*asin(c*x), x) + Integral(b*c**4*x**3*asin(c*x), x))","F",0
16,1,182,0,5.862916," ","integrate((-c**2*d*x**2+d)**2*(a+b*asin(c*x))/x**2,x)","\frac{a c^{4} d^{2} x^{3}}{3} - 2 a c^{2} d^{2} x - \frac{a d^{2}}{x} - \frac{b c^{5} d^{2} \left(\begin{cases} - \frac{x^{2} \sqrt{- c^{2} x^{2} + 1}}{3 c^{2}} - \frac{2 \sqrt{- c^{2} x^{2} + 1}}{3 c^{4}} & \text{for}\: c \neq 0 \\\frac{x^{4}}{4} & \text{otherwise} \end{cases}\right)}{3} + \frac{b c^{4} d^{2} x^{3} \operatorname{asin}{\left(c x \right)}}{3} - 2 b c^{2} d^{2} \left(\begin{cases} 0 & \text{for}\: c = 0 \\x \operatorname{asin}{\left(c x \right)} + \frac{\sqrt{- c^{2} x^{2} + 1}}{c} & \text{otherwise} \end{cases}\right) + b c d^{2} \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{c x} \right)} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{c x} \right)} & \text{otherwise} \end{cases}\right) - \frac{b d^{2} \operatorname{asin}{\left(c x \right)}}{x}"," ",0,"a*c**4*d**2*x**3/3 - 2*a*c**2*d**2*x - a*d**2/x - b*c**5*d**2*Piecewise((-x**2*sqrt(-c**2*x**2 + 1)/(3*c**2) - 2*sqrt(-c**2*x**2 + 1)/(3*c**4), Ne(c, 0)), (x**4/4, True))/3 + b*c**4*d**2*x**3*asin(c*x)/3 - 2*b*c**2*d**2*Piecewise((0, Eq(c, 0)), (x*asin(c*x) + sqrt(-c**2*x**2 + 1)/c, True)) + b*c*d**2*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) - b*d**2*asin(c*x)/x","A",0
17,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**2*(a+b*asin(c*x))/x**3,x)","d^{2} \left(\int \frac{a}{x^{3}}\, dx + \int \left(- \frac{2 a c^{2}}{x}\right)\, dx + \int a c^{4} x\, dx + \int \frac{b \operatorname{asin}{\left(c x \right)}}{x^{3}}\, dx + \int \left(- \frac{2 b c^{2} \operatorname{asin}{\left(c x \right)}}{x}\right)\, dx + \int b c^{4} x \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"d**2*(Integral(a/x**3, x) + Integral(-2*a*c**2/x, x) + Integral(a*c**4*x, x) + Integral(b*asin(c*x)/x**3, x) + Integral(-2*b*c**2*asin(c*x)/x, x) + Integral(b*c**4*x*asin(c*x), x))","F",0
18,1,235,0,6.910127," ","integrate((-c**2*d*x**2+d)**2*(a+b*asin(c*x))/x**4,x)","a c^{4} d^{2} x + \frac{2 a c^{2} d^{2}}{x} - \frac{a d^{2}}{3 x^{3}} + b c^{4} d^{2} \left(\begin{cases} 0 & \text{for}\: c = 0 \\x \operatorname{asin}{\left(c x \right)} + \frac{\sqrt{- c^{2} x^{2} + 1}}{c} & \text{otherwise} \end{cases}\right) - 2 b c^{3} d^{2} \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{c x} \right)} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{c x} \right)} & \text{otherwise} \end{cases}\right) + \frac{2 b c^{2} d^{2} \operatorname{asin}{\left(c x \right)}}{x} + \frac{b c d^{2} \left(\begin{cases} - \frac{c^{2} \operatorname{acosh}{\left(\frac{1}{c x} \right)}}{2} - \frac{c \sqrt{-1 + \frac{1}{c^{2} x^{2}}}}{2 x} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\\frac{i c^{2} \operatorname{asin}{\left(\frac{1}{c x} \right)}}{2} - \frac{i c}{2 x \sqrt{1 - \frac{1}{c^{2} x^{2}}}} + \frac{i}{2 c x^{3} \sqrt{1 - \frac{1}{c^{2} x^{2}}}} & \text{otherwise} \end{cases}\right)}{3} - \frac{b d^{2} \operatorname{asin}{\left(c x \right)}}{3 x^{3}}"," ",0,"a*c**4*d**2*x + 2*a*c**2*d**2/x - a*d**2/(3*x**3) + b*c**4*d**2*Piecewise((0, Eq(c, 0)), (x*asin(c*x) + sqrt(-c**2*x**2 + 1)/c, True)) - 2*b*c**3*d**2*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) + 2*b*c**2*d**2*asin(c*x)/x + b*c*d**2*Piecewise((-c**2*acosh(1/(c*x))/2 - c*sqrt(-1 + 1/(c**2*x**2))/(2*x), 1/Abs(c**2*x**2) > 1), (I*c**2*asin(1/(c*x))/2 - I*c/(2*x*sqrt(1 - 1/(c**2*x**2))) + I/(2*c*x**3*sqrt(1 - 1/(c**2*x**2))), True))/3 - b*d**2*asin(c*x)/(3*x**3)","A",0
19,1,289,0,37.036996," ","integrate(x**4*(-c**2*d*x**2+d)**3*(a+b*asin(c*x)),x)","\begin{cases} - \frac{a c^{6} d^{3} x^{11}}{11} + \frac{a c^{4} d^{3} x^{9}}{3} - \frac{3 a c^{2} d^{3} x^{7}}{7} + \frac{a d^{3} x^{5}}{5} - \frac{b c^{6} d^{3} x^{11} \operatorname{asin}{\left(c x \right)}}{11} - \frac{b c^{5} d^{3} x^{10} \sqrt{- c^{2} x^{2} + 1}}{121} + \frac{b c^{4} d^{3} x^{9} \operatorname{asin}{\left(c x \right)}}{3} + \frac{91 b c^{3} d^{3} x^{8} \sqrt{- c^{2} x^{2} + 1}}{3267} - \frac{3 b c^{2} d^{3} x^{7} \operatorname{asin}{\left(c x \right)}}{7} - \frac{4705 b c d^{3} x^{6} \sqrt{- c^{2} x^{2} + 1}}{160083} + \frac{b d^{3} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{6311 b d^{3} x^{4} \sqrt{- c^{2} x^{2} + 1}}{1334025 c} + \frac{25244 b d^{3} x^{2} \sqrt{- c^{2} x^{2} + 1}}{4002075 c^{3}} + \frac{50488 b d^{3} \sqrt{- c^{2} x^{2} + 1}}{4002075 c^{5}} & \text{for}\: c \neq 0 \\\frac{a d^{3} x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**6*d**3*x**11/11 + a*c**4*d**3*x**9/3 - 3*a*c**2*d**3*x**7/7 + a*d**3*x**5/5 - b*c**6*d**3*x**11*asin(c*x)/11 - b*c**5*d**3*x**10*sqrt(-c**2*x**2 + 1)/121 + b*c**4*d**3*x**9*asin(c*x)/3 + 91*b*c**3*d**3*x**8*sqrt(-c**2*x**2 + 1)/3267 - 3*b*c**2*d**3*x**7*asin(c*x)/7 - 4705*b*c*d**3*x**6*sqrt(-c**2*x**2 + 1)/160083 + b*d**3*x**5*asin(c*x)/5 + 6311*b*d**3*x**4*sqrt(-c**2*x**2 + 1)/(1334025*c) + 25244*b*d**3*x**2*sqrt(-c**2*x**2 + 1)/(4002075*c**3) + 50488*b*d**3*sqrt(-c**2*x**2 + 1)/(4002075*c**5), Ne(c, 0)), (a*d**3*x**5/5, True))","A",0
20,1,280,0,26.927009," ","integrate(x**3*(-c**2*d*x**2+d)**3*(a+b*asin(c*x)),x)","\begin{cases} - \frac{a c^{6} d^{3} x^{10}}{10} + \frac{3 a c^{4} d^{3} x^{8}}{8} - \frac{a c^{2} d^{3} x^{6}}{2} + \frac{a d^{3} x^{4}}{4} - \frac{b c^{6} d^{3} x^{10} \operatorname{asin}{\left(c x \right)}}{10} - \frac{b c^{5} d^{3} x^{9} \sqrt{- c^{2} x^{2} + 1}}{100} + \frac{3 b c^{4} d^{3} x^{8} \operatorname{asin}{\left(c x \right)}}{8} + \frac{57 b c^{3} d^{3} x^{7} \sqrt{- c^{2} x^{2} + 1}}{1600} - \frac{b c^{2} d^{3} x^{6} \operatorname{asin}{\left(c x \right)}}{2} - \frac{401 b c d^{3} x^{5} \sqrt{- c^{2} x^{2} + 1}}{9600} + \frac{b d^{3} x^{4} \operatorname{asin}{\left(c x \right)}}{4} + \frac{79 b d^{3} x^{3} \sqrt{- c^{2} x^{2} + 1}}{7680 c} + \frac{79 b d^{3} x \sqrt{- c^{2} x^{2} + 1}}{5120 c^{3}} - \frac{79 b d^{3} \operatorname{asin}{\left(c x \right)}}{5120 c^{4}} & \text{for}\: c \neq 0 \\\frac{a d^{3} x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**6*d**3*x**10/10 + 3*a*c**4*d**3*x**8/8 - a*c**2*d**3*x**6/2 + a*d**3*x**4/4 - b*c**6*d**3*x**10*asin(c*x)/10 - b*c**5*d**3*x**9*sqrt(-c**2*x**2 + 1)/100 + 3*b*c**4*d**3*x**8*asin(c*x)/8 + 57*b*c**3*d**3*x**7*sqrt(-c**2*x**2 + 1)/1600 - b*c**2*d**3*x**6*asin(c*x)/2 - 401*b*c*d**3*x**5*sqrt(-c**2*x**2 + 1)/9600 + b*d**3*x**4*asin(c*x)/4 + 79*b*d**3*x**3*sqrt(-c**2*x**2 + 1)/(7680*c) + 79*b*d**3*x*sqrt(-c**2*x**2 + 1)/(5120*c**3) - 79*b*d**3*asin(c*x)/(5120*c**4), Ne(c, 0)), (a*d**3*x**4/4, True))","A",0
21,1,265,0,16.145384," ","integrate(x**2*(-c**2*d*x**2+d)**3*(a+b*asin(c*x)),x)","\begin{cases} - \frac{a c^{6} d^{3} x^{9}}{9} + \frac{3 a c^{4} d^{3} x^{7}}{7} - \frac{3 a c^{2} d^{3} x^{5}}{5} + \frac{a d^{3} x^{3}}{3} - \frac{b c^{6} d^{3} x^{9} \operatorname{asin}{\left(c x \right)}}{9} - \frac{b c^{5} d^{3} x^{8} \sqrt{- c^{2} x^{2} + 1}}{81} + \frac{3 b c^{4} d^{3} x^{7} \operatorname{asin}{\left(c x \right)}}{7} + \frac{187 b c^{3} d^{3} x^{6} \sqrt{- c^{2} x^{2} + 1}}{3969} - \frac{3 b c^{2} d^{3} x^{5} \operatorname{asin}{\left(c x \right)}}{5} - \frac{2099 b c d^{3} x^{4} \sqrt{- c^{2} x^{2} + 1}}{33075} + \frac{b d^{3} x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{2629 b d^{3} x^{2} \sqrt{- c^{2} x^{2} + 1}}{99225 c} + \frac{5258 b d^{3} \sqrt{- c^{2} x^{2} + 1}}{99225 c^{3}} & \text{for}\: c \neq 0 \\\frac{a d^{3} x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**6*d**3*x**9/9 + 3*a*c**4*d**3*x**7/7 - 3*a*c**2*d**3*x**5/5 + a*d**3*x**3/3 - b*c**6*d**3*x**9*asin(c*x)/9 - b*c**5*d**3*x**8*sqrt(-c**2*x**2 + 1)/81 + 3*b*c**4*d**3*x**7*asin(c*x)/7 + 187*b*c**3*d**3*x**6*sqrt(-c**2*x**2 + 1)/3969 - 3*b*c**2*d**3*x**5*asin(c*x)/5 - 2099*b*c*d**3*x**4*sqrt(-c**2*x**2 + 1)/33075 + b*d**3*x**3*asin(c*x)/3 + 2629*b*d**3*x**2*sqrt(-c**2*x**2 + 1)/(99225*c) + 5258*b*d**3*sqrt(-c**2*x**2 + 1)/(99225*c**3), Ne(c, 0)), (a*d**3*x**3/3, True))","A",0
22,1,253,0,10.892827," ","integrate(x*(-c**2*d*x**2+d)**3*(a+b*asin(c*x)),x)","\begin{cases} - \frac{a c^{6} d^{3} x^{8}}{8} + \frac{a c^{4} d^{3} x^{6}}{2} - \frac{3 a c^{2} d^{3} x^{4}}{4} + \frac{a d^{3} x^{2}}{2} - \frac{b c^{6} d^{3} x^{8} \operatorname{asin}{\left(c x \right)}}{8} - \frac{b c^{5} d^{3} x^{7} \sqrt{- c^{2} x^{2} + 1}}{64} + \frac{b c^{4} d^{3} x^{6} \operatorname{asin}{\left(c x \right)}}{2} + \frac{25 b c^{3} d^{3} x^{5} \sqrt{- c^{2} x^{2} + 1}}{384} - \frac{3 b c^{2} d^{3} x^{4} \operatorname{asin}{\left(c x \right)}}{4} - \frac{163 b c d^{3} x^{3} \sqrt{- c^{2} x^{2} + 1}}{1536} + \frac{b d^{3} x^{2} \operatorname{asin}{\left(c x \right)}}{2} + \frac{93 b d^{3} x \sqrt{- c^{2} x^{2} + 1}}{1024 c} - \frac{93 b d^{3} \operatorname{asin}{\left(c x \right)}}{1024 c^{2}} & \text{for}\: c \neq 0 \\\frac{a d^{3} x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**6*d**3*x**8/8 + a*c**4*d**3*x**6/2 - 3*a*c**2*d**3*x**4/4 + a*d**3*x**2/2 - b*c**6*d**3*x**8*asin(c*x)/8 - b*c**5*d**3*x**7*sqrt(-c**2*x**2 + 1)/64 + b*c**4*d**3*x**6*asin(c*x)/2 + 25*b*c**3*d**3*x**5*sqrt(-c**2*x**2 + 1)/384 - 3*b*c**2*d**3*x**4*asin(c*x)/4 - 163*b*c*d**3*x**3*sqrt(-c**2*x**2 + 1)/1536 + b*d**3*x**2*asin(c*x)/2 + 93*b*d**3*x*sqrt(-c**2*x**2 + 1)/(1024*c) - 93*b*d**3*asin(c*x)/(1024*c**2), Ne(c, 0)), (a*d**3*x**2/2, True))","A",0
23,1,221,0,6.086346," ","integrate((-c**2*d*x**2+d)**3*(a+b*asin(c*x)),x)","\begin{cases} - \frac{a c^{6} d^{3} x^{7}}{7} + \frac{3 a c^{4} d^{3} x^{5}}{5} - a c^{2} d^{3} x^{3} + a d^{3} x - \frac{b c^{6} d^{3} x^{7} \operatorname{asin}{\left(c x \right)}}{7} - \frac{b c^{5} d^{3} x^{6} \sqrt{- c^{2} x^{2} + 1}}{49} + \frac{3 b c^{4} d^{3} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{117 b c^{3} d^{3} x^{4} \sqrt{- c^{2} x^{2} + 1}}{1225} - b c^{2} d^{3} x^{3} \operatorname{asin}{\left(c x \right)} - \frac{757 b c d^{3} x^{2} \sqrt{- c^{2} x^{2} + 1}}{3675} + b d^{3} x \operatorname{asin}{\left(c x \right)} + \frac{2161 b d^{3} \sqrt{- c^{2} x^{2} + 1}}{3675 c} & \text{for}\: c \neq 0 \\a d^{3} x & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**6*d**3*x**7/7 + 3*a*c**4*d**3*x**5/5 - a*c**2*d**3*x**3 + a*d**3*x - b*c**6*d**3*x**7*asin(c*x)/7 - b*c**5*d**3*x**6*sqrt(-c**2*x**2 + 1)/49 + 3*b*c**4*d**3*x**5*asin(c*x)/5 + 117*b*c**3*d**3*x**4*sqrt(-c**2*x**2 + 1)/1225 - b*c**2*d**3*x**3*asin(c*x) - 757*b*c*d**3*x**2*sqrt(-c**2*x**2 + 1)/3675 + b*d**3*x*asin(c*x) + 2161*b*d**3*sqrt(-c**2*x**2 + 1)/(3675*c), Ne(c, 0)), (a*d**3*x, True))","A",0
24,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**3*(a+b*asin(c*x))/x,x)","- d^{3} \left(\int \left(- \frac{a}{x}\right)\, dx + \int 3 a c^{2} x\, dx + \int \left(- 3 a c^{4} x^{3}\right)\, dx + \int a c^{6} x^{5}\, dx + \int \left(- \frac{b \operatorname{asin}{\left(c x \right)}}{x}\right)\, dx + \int 3 b c^{2} x \operatorname{asin}{\left(c x \right)}\, dx + \int \left(- 3 b c^{4} x^{3} \operatorname{asin}{\left(c x \right)}\right)\, dx + \int b c^{6} x^{5} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"-d**3*(Integral(-a/x, x) + Integral(3*a*c**2*x, x) + Integral(-3*a*c**4*x**3, x) + Integral(a*c**6*x**5, x) + Integral(-b*asin(c*x)/x, x) + Integral(3*b*c**2*x*asin(c*x), x) + Integral(-3*b*c**4*x**3*asin(c*x), x) + Integral(b*c**6*x**5*asin(c*x), x))","F",0
25,1,287,0,8.119785," ","integrate((-c**2*d*x**2+d)**3*(a+b*asin(c*x))/x**2,x)","- \frac{a c^{6} d^{3} x^{5}}{5} + a c^{4} d^{3} x^{3} - 3 a c^{2} d^{3} x - \frac{a d^{3}}{x} + \frac{b c^{7} d^{3} \left(\begin{cases} - \frac{x^{4} \sqrt{- c^{2} x^{2} + 1}}{5 c^{2}} - \frac{4 x^{2} \sqrt{- c^{2} x^{2} + 1}}{15 c^{4}} - \frac{8 \sqrt{- c^{2} x^{2} + 1}}{15 c^{6}} & \text{for}\: c \neq 0 \\\frac{x^{6}}{6} & \text{otherwise} \end{cases}\right)}{5} - \frac{b c^{6} d^{3} x^{5} \operatorname{asin}{\left(c x \right)}}{5} - b c^{5} d^{3} \left(\begin{cases} - \frac{x^{2} \sqrt{- c^{2} x^{2} + 1}}{3 c^{2}} - \frac{2 \sqrt{- c^{2} x^{2} + 1}}{3 c^{4}} & \text{for}\: c \neq 0 \\\frac{x^{4}}{4} & \text{otherwise} \end{cases}\right) + b c^{4} d^{3} x^{3} \operatorname{asin}{\left(c x \right)} - 3 b c^{2} d^{3} \left(\begin{cases} 0 & \text{for}\: c = 0 \\x \operatorname{asin}{\left(c x \right)} + \frac{\sqrt{- c^{2} x^{2} + 1}}{c} & \text{otherwise} \end{cases}\right) + b c d^{3} \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{c x} \right)} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{c x} \right)} & \text{otherwise} \end{cases}\right) - \frac{b d^{3} \operatorname{asin}{\left(c x \right)}}{x}"," ",0,"-a*c**6*d**3*x**5/5 + a*c**4*d**3*x**3 - 3*a*c**2*d**3*x - a*d**3/x + b*c**7*d**3*Piecewise((-x**4*sqrt(-c**2*x**2 + 1)/(5*c**2) - 4*x**2*sqrt(-c**2*x**2 + 1)/(15*c**4) - 8*sqrt(-c**2*x**2 + 1)/(15*c**6), Ne(c, 0)), (x**6/6, True))/5 - b*c**6*d**3*x**5*asin(c*x)/5 - b*c**5*d**3*Piecewise((-x**2*sqrt(-c**2*x**2 + 1)/(3*c**2) - 2*sqrt(-c**2*x**2 + 1)/(3*c**4), Ne(c, 0)), (x**4/4, True)) + b*c**4*d**3*x**3*asin(c*x) - 3*b*c**2*d**3*Piecewise((0, Eq(c, 0)), (x*asin(c*x) + sqrt(-c**2*x**2 + 1)/c, True)) + b*c*d**3*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) - b*d**3*asin(c*x)/x","A",0
26,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**3*(a+b*asin(c*x))/x**3,x)","- d^{3} \left(\int \left(- \frac{a}{x^{3}}\right)\, dx + \int \frac{3 a c^{2}}{x}\, dx + \int \left(- 3 a c^{4} x\right)\, dx + \int a c^{6} x^{3}\, dx + \int \left(- \frac{b \operatorname{asin}{\left(c x \right)}}{x^{3}}\right)\, dx + \int \frac{3 b c^{2} \operatorname{asin}{\left(c x \right)}}{x}\, dx + \int \left(- 3 b c^{4} x \operatorname{asin}{\left(c x \right)}\right)\, dx + \int b c^{6} x^{3} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"-d**3*(Integral(-a/x**3, x) + Integral(3*a*c**2/x, x) + Integral(-3*a*c**4*x, x) + Integral(a*c**6*x**3, x) + Integral(-b*asin(c*x)/x**3, x) + Integral(3*b*c**2*asin(c*x)/x, x) + Integral(-3*b*c**4*x*asin(c*x), x) + Integral(b*c**6*x**3*asin(c*x), x))","F",0
27,1,326,0,8.927224," ","integrate((-c**2*d*x**2+d)**3*(a+b*asin(c*x))/x**4,x)","- \frac{a c^{6} d^{3} x^{3}}{3} + 3 a c^{4} d^{3} x + \frac{3 a c^{2} d^{3}}{x} - \frac{a d^{3}}{3 x^{3}} + \frac{b c^{7} d^{3} \left(\begin{cases} - \frac{x^{2} \sqrt{- c^{2} x^{2} + 1}}{3 c^{2}} - \frac{2 \sqrt{- c^{2} x^{2} + 1}}{3 c^{4}} & \text{for}\: c \neq 0 \\\frac{x^{4}}{4} & \text{otherwise} \end{cases}\right)}{3} - \frac{b c^{6} d^{3} x^{3} \operatorname{asin}{\left(c x \right)}}{3} + 3 b c^{4} d^{3} \left(\begin{cases} 0 & \text{for}\: c = 0 \\x \operatorname{asin}{\left(c x \right)} + \frac{\sqrt{- c^{2} x^{2} + 1}}{c} & \text{otherwise} \end{cases}\right) - 3 b c^{3} d^{3} \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{c x} \right)} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{c x} \right)} & \text{otherwise} \end{cases}\right) + \frac{3 b c^{2} d^{3} \operatorname{asin}{\left(c x \right)}}{x} + \frac{b c d^{3} \left(\begin{cases} - \frac{c^{2} \operatorname{acosh}{\left(\frac{1}{c x} \right)}}{2} - \frac{c \sqrt{-1 + \frac{1}{c^{2} x^{2}}}}{2 x} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\\frac{i c^{2} \operatorname{asin}{\left(\frac{1}{c x} \right)}}{2} - \frac{i c}{2 x \sqrt{1 - \frac{1}{c^{2} x^{2}}}} + \frac{i}{2 c x^{3} \sqrt{1 - \frac{1}{c^{2} x^{2}}}} & \text{otherwise} \end{cases}\right)}{3} - \frac{b d^{3} \operatorname{asin}{\left(c x \right)}}{3 x^{3}}"," ",0,"-a*c**6*d**3*x**3/3 + 3*a*c**4*d**3*x + 3*a*c**2*d**3/x - a*d**3/(3*x**3) + b*c**7*d**3*Piecewise((-x**2*sqrt(-c**2*x**2 + 1)/(3*c**2) - 2*sqrt(-c**2*x**2 + 1)/(3*c**4), Ne(c, 0)), (x**4/4, True))/3 - b*c**6*d**3*x**3*asin(c*x)/3 + 3*b*c**4*d**3*Piecewise((0, Eq(c, 0)), (x*asin(c*x) + sqrt(-c**2*x**2 + 1)/c, True)) - 3*b*c**3*d**3*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) + 3*b*c**2*d**3*asin(c*x)/x + b*c*d**3*Piecewise((-c**2*acosh(1/(c*x))/2 - c*sqrt(-1 + 1/(c**2*x**2))/(2*x), 1/Abs(c**2*x**2) > 1), (I*c**2*asin(1/(c*x))/2 - I*c/(2*x*sqrt(1 - 1/(c**2*x**2))) + I/(2*c*x**3*sqrt(1 - 1/(c**2*x**2))), True))/3 - b*d**3*asin(c*x)/(3*x**3)","A",0
28,0,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a x^{4}}{c^{2} x^{2} - 1}\, dx + \int \frac{b x^{4} \operatorname{asin}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a*x**4/(c**2*x**2 - 1), x) + Integral(b*x**4*asin(c*x)/(c**2*x**2 - 1), x))/d","F",0
29,0,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a x^{3}}{c^{2} x^{2} - 1}\, dx + \int \frac{b x^{3} \operatorname{asin}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a*x**3/(c**2*x**2 - 1), x) + Integral(b*x**3*asin(c*x)/(c**2*x**2 - 1), x))/d","F",0
30,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a x^{2}}{c^{2} x^{2} - 1}\, dx + \int \frac{b x^{2} \operatorname{asin}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a*x**2/(c**2*x**2 - 1), x) + Integral(b*x**2*asin(c*x)/(c**2*x**2 - 1), x))/d","F",0
31,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a x}{c^{2} x^{2} - 1}\, dx + \int \frac{b x \operatorname{asin}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a*x/(c**2*x**2 - 1), x) + Integral(b*x*asin(c*x)/(c**2*x**2 - 1), x))/d","F",0
32,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a}{c^{2} x^{2} - 1}\, dx + \int \frac{b \operatorname{asin}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a/(c**2*x**2 - 1), x) + Integral(b*asin(c*x)/(c**2*x**2 - 1), x))/d","F",0
33,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a}{c^{2} x^{3} - x}\, dx + \int \frac{b \operatorname{asin}{\left(c x \right)}}{c^{2} x^{3} - x}\, dx}{d}"," ",0,"-(Integral(a/(c**2*x**3 - x), x) + Integral(b*asin(c*x)/(c**2*x**3 - x), x))/d","F",0
34,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**2/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a}{c^{2} x^{4} - x^{2}}\, dx + \int \frac{b \operatorname{asin}{\left(c x \right)}}{c^{2} x^{4} - x^{2}}\, dx}{d}"," ",0,"-(Integral(a/(c**2*x**4 - x**2), x) + Integral(b*asin(c*x)/(c**2*x**4 - x**2), x))/d","F",0
35,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**3/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a}{c^{2} x^{5} - x^{3}}\, dx + \int \frac{b \operatorname{asin}{\left(c x \right)}}{c^{2} x^{5} - x^{3}}\, dx}{d}"," ",0,"-(Integral(a/(c**2*x**5 - x**3), x) + Integral(b*asin(c*x)/(c**2*x**5 - x**3), x))/d","F",0
36,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**4/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a}{c^{2} x^{6} - x^{4}}\, dx + \int \frac{b \operatorname{asin}{\left(c x \right)}}{c^{2} x^{6} - x^{4}}\, dx}{d}"," ",0,"-(Integral(a/(c**2*x**6 - x**4), x) + Integral(b*asin(c*x)/(c**2*x**6 - x**4), x))/d","F",0
37,0,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a x^{4}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b x^{4} \operatorname{asin}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a*x**4/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*x**4*asin(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
38,0,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a x^{3}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b x^{3} \operatorname{asin}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a*x**3/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*x**3*asin(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
39,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a x^{2}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b x^{2} \operatorname{asin}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a*x**2/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*x**2*asin(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
40,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a x}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b x \operatorname{asin}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a*x/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*x*asin(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
41,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/(-c**2*d*x**2+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/x/(-c**2*d*x**2+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
43,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**2/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a}{c^{4} x^{6} - 2 c^{2} x^{4} + x^{2}}\, dx + \int \frac{b \operatorname{asin}{\left(c x \right)}}{c^{4} x^{6} - 2 c^{2} x^{4} + x^{2}}\, dx}{d^{2}}"," ",0,"(Integral(a/(c**4*x**6 - 2*c**2*x**4 + x**2), x) + Integral(b*asin(c*x)/(c**4*x**6 - 2*c**2*x**4 + x**2), x))/d**2","F",0
44,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**3/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a}{c^{4} x^{7} - 2 c^{2} x^{5} + x^{3}}\, dx + \int \frac{b \operatorname{asin}{\left(c x \right)}}{c^{4} x^{7} - 2 c^{2} x^{5} + x^{3}}\, dx}{d^{2}}"," ",0,"(Integral(a/(c**4*x**7 - 2*c**2*x**5 + x**3), x) + Integral(b*asin(c*x)/(c**4*x**7 - 2*c**2*x**5 + x**3), x))/d**2","F",0
45,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**4/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a}{c^{4} x^{8} - 2 c^{2} x^{6} + x^{4}}\, dx + \int \frac{b \operatorname{asin}{\left(c x \right)}}{c^{4} x^{8} - 2 c^{2} x^{6} + x^{4}}\, dx}{d^{2}}"," ",0,"(Integral(a/(c**4*x**8 - 2*c**2*x**6 + x**4), x) + Integral(b*asin(c*x)/(c**4*x**8 - 2*c**2*x**6 + x**4), x))/d**2","F",0
46,0,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a x^{4}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{b x^{4} \operatorname{asin}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx}{d^{3}}"," ",0,"-(Integral(a*x**4/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(b*x**4*asin(c*x)/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x))/d**3","F",0
47,0,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a x^{3}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{b x^{3} \operatorname{asin}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx}{d^{3}}"," ",0,"-(Integral(a*x**3/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(b*x**3*asin(c*x)/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x))/d**3","F",0
48,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a x^{2}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{b x^{2} \operatorname{asin}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx}{d^{3}}"," ",0,"-(Integral(a*x**2/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(b*x**2*asin(c*x)/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x))/d**3","F",0
49,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a x}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{b x \operatorname{asin}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx}{d^{3}}"," ",0,"-(Integral(a*x/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(b*x*asin(c*x)/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x))/d**3","F",0
50,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/(-c**2*d*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
51,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/x/(-c**2*d*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**2/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a}{c^{6} x^{8} - 3 c^{4} x^{6} + 3 c^{2} x^{4} - x^{2}}\, dx + \int \frac{b \operatorname{asin}{\left(c x \right)}}{c^{6} x^{8} - 3 c^{4} x^{6} + 3 c^{2} x^{4} - x^{2}}\, dx}{d^{3}}"," ",0,"-(Integral(a/(c**6*x**8 - 3*c**4*x**6 + 3*c**2*x**4 - x**2), x) + Integral(b*asin(c*x)/(c**6*x**8 - 3*c**4*x**6 + 3*c**2*x**4 - x**2), x))/d**3","F",0
53,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**3/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a}{c^{6} x^{9} - 3 c^{4} x^{7} + 3 c^{2} x^{5} - x^{3}}\, dx + \int \frac{b \operatorname{asin}{\left(c x \right)}}{c^{6} x^{9} - 3 c^{4} x^{7} + 3 c^{2} x^{5} - x^{3}}\, dx}{d^{3}}"," ",0,"-(Integral(a/(c**6*x**9 - 3*c**4*x**7 + 3*c**2*x**5 - x**3), x) + Integral(b*asin(c*x)/(c**6*x**9 - 3*c**4*x**7 + 3*c**2*x**5 - x**3), x))/d**3","F",0
54,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**4/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a}{c^{6} x^{10} - 3 c^{4} x^{8} + 3 c^{2} x^{6} - x^{4}}\, dx + \int \frac{b \operatorname{asin}{\left(c x \right)}}{c^{6} x^{10} - 3 c^{4} x^{8} + 3 c^{2} x^{6} - x^{4}}\, dx}{d^{3}}"," ",0,"-(Integral(a/(c**6*x**10 - 3*c**4*x**8 + 3*c**2*x**6 - x**4), x) + Integral(b*asin(c*x)/(c**6*x**10 - 3*c**4*x**8 + 3*c**2*x**6 - x**4), x))/d**3","F",0
55,0,0,0,0.000000," ","integrate(x**4*(-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x)),x)","\int x^{4} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x**4*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x)), x)","F",0
56,0,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x)),x)","\int x^{2} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x**2*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x)), x)","F",0
57,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x)),x)","\int \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x)), x)","F",0
58,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))/x**2,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{x^{2}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))/x**2, x)","F",0
59,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))/x**4,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{x^{4}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))/x**4, x)","F",0
60,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))/x**6,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{x^{6}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))/x**6, x)","F",0
61,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))/x**8,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{x^{8}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))/x**8, x)","F",0
62,0,0,0,0.000000," ","integrate(x**5*(-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x)),x)","\int x^{5} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x**5*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x)), x)","F",0
63,0,0,0,0.000000," ","integrate(x**3*(-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x)),x)","\int x^{3} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x**3*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x)), x)","F",0
64,0,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x)),x)","\int x \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x)), x)","F",0
65,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))/x,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{x}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))/x, x)","F",0
66,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))/x**3,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{x^{3}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))/x**3, x)","F",0
67,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))/x**5,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{x^{5}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))/x**5, x)","F",0
68,-1,0,0,0.000000," ","integrate(x**4*(-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,0,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x)),x)","\int x^{2} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x**2*(-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x)), x)","F",0
70,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x)),x)","\int \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x)), x)","F",0
71,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))/x**2,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{x^{2}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))/x**2, x)","F",0
72,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))/x**4,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{x^{4}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))/x**4, x)","F",0
73,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))/x**6,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{x^{6}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))/x**6, x)","F",0
74,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))/x**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))/x**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))/x**12,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
77,-1,0,0,0.000000," ","integrate(x**7*(-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,-1,0,0,0.000000," ","integrate(x**5*(-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
79,0,0,0,0.000000," ","integrate(x**3*(-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x)),x)","\int x^{3} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x**3*(-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x)), x)","F",0
80,0,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x)),x)","\int x \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x*(-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x)), x)","F",0
81,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))/x,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{x}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))/x, x)","F",0
82,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))/x**3,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{x^{3}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))/x**3, x)","F",0
83,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))/x**5,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{x^{5}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))/x**5, x)","F",0
84,-1,0,0,0.000000," ","integrate(x**4*(-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
85,-1,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
86,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x)),x)","\int \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x)), x)","F",0
87,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
88,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))/x**4,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{x^{4}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))/x**4, x)","F",0
89,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))/x**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
90,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))/x**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
91,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))/x**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
92,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))/x**12,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
93,-1,0,0,0.000000," ","integrate(x**5*(-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
94,-1,0,0,0.000000," ","integrate(x**3*(-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
95,-1,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
96,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
97,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
98,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))/x**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
99,1,48,0,20.817471," ","integrate(asin(x)*(-x**2+1)**(1/2),x)","\left(\begin{cases} \frac{x \sqrt{1 - x^{2}}}{2} + \frac{\operatorname{asin}{\left(x \right)}}{2} & \text{for}\: x > -1 \wedge x < 1 \end{cases}\right) \operatorname{asin}{\left(x \right)} - \begin{cases} \text{NaN} & \text{for}\: x < -1 \\\frac{x^{2}}{4} + \frac{\operatorname{asin}^{2}{\left(x \right)}}{4} - \frac{\pi^{2}}{16} - \frac{1}{4} & \text{for}\: x < 1 \\\text{NaN} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sqrt(1 - x**2)/2 + asin(x)/2, (x > -1) & (x < 1)))*asin(x) - Piecewise((nan, x < -1), (x**2/4 + asin(x)**2/4 - pi**2/16 - 1/4, x < 1), (nan, True))","A",0
100,0,0,0,0.000000," ","integrate((a+b*asin(c*x))*(-pi*c**2*x**2+pi)**(1/2),x)","\sqrt{\pi} \left(\int a \sqrt{- c^{2} x^{2} + 1}\, dx + \int b \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"sqrt(pi)*(Integral(a*sqrt(-c**2*x**2 + 1), x) + Integral(b*sqrt(-c**2*x**2 + 1)*asin(c*x), x))","F",0
101,1,82,0,2.123433," ","integrate(x**4*asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{x^{4}}{16 a} - \frac{x^{3} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{4 a^{2}} + \frac{3 x^{2}}{16 a^{3}} - \frac{3 x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{8 a^{4}} + \frac{3 \operatorname{asin}^{2}{\left(a x \right)}}{16 a^{5}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4/(16*a) - x**3*sqrt(-a**2*x**2 + 1)*asin(a*x)/(4*a**2) + 3*x**2/(16*a**3) - 3*x*sqrt(-a**2*x**2 + 1)*asin(a*x)/(8*a**4) + 3*asin(a*x)**2/(16*a**5), Ne(a, 0)), (0, True))","A",0
102,1,65,0,1.124076," ","integrate(x**3*asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{x^{3}}{9 a} - \frac{x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{3 a^{2}} + \frac{2 x}{3 a^{3}} - \frac{2 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{3 a^{4}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3/(9*a) - x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)/(3*a**2) + 2*x/(3*a**3) - 2*sqrt(-a**2*x**2 + 1)*asin(a*x)/(3*a**4), Ne(a, 0)), (0, True))","A",0
103,1,42,0,0.726229," ","integrate(x**2*asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{x^{2}}{4 a} - \frac{x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{2 a^{2}} + \frac{\operatorname{asin}^{2}{\left(a x \right)}}{4 a^{3}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2/(4*a) - x*sqrt(-a**2*x**2 + 1)*asin(a*x)/(2*a**2) + asin(a*x)**2/(4*a**3), Ne(a, 0)), (0, True))","A",0
104,1,24,0,0.413613," ","integrate(x*asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{x}{a} - \frac{\sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{a^{2}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x/a - sqrt(-a**2*x**2 + 1)*asin(a*x)/a**2, Ne(a, 0)), (0, True))","A",0
105,1,10,0,0.326538," ","integrate(asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{\operatorname{asin}^{2}{\left(a x \right)}}{2 a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((asin(a*x)**2/(2*a), Ne(a, 0)), (0, True))","A",0
106,0,0,0,0.000000," ","integrate(asin(a*x)/x/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{asin}{\left(a x \right)}}{x \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(asin(a*x)/(x*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
107,0,0,0,0.000000," ","integrate(asin(a*x)/x**2/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{asin}{\left(a x \right)}}{x^{2} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(asin(a*x)/(x**2*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
108,0,0,0,0.000000," ","integrate(asin(a*x)/x**3/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{asin}{\left(a x \right)}}{x^{3} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(asin(a*x)/(x**3*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
109,0,0,0,0.000000," ","integrate(x**5*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{5} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**5*(a + b*asin(c*x))/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
110,0,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{4} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**4*(a + b*asin(c*x))/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
111,0,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{3} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**3*(a + b*asin(c*x))/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
112,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**2*(a + b*asin(c*x))/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
113,-2,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
114,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
115,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
116,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x^{2} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x**2*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
117,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**3/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x^{3} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x**3*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
118,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**4/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x^{4} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x**4*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
119,0,0,0,0.000000," ","integrate(x**5*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{5} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**5*(a + b*asin(c*x))/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
120,0,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{4} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**4*(a + b*asin(c*x))/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
121,-2,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(3/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
122,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2*(a + b*asin(c*x))/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
123,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x*(a + b*asin(c*x))/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
124,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
125,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
126,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x^{2} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x**2*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
127,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**3/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x^{3} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x**3*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
128,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**4/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x^{4} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x**4*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
129,0,0,0,0.000000," ","integrate(x**6*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{6} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**6*(a + b*asin(c*x))/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
130,0,0,0,0.000000," ","integrate(x**5*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{5} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**5*(a + b*asin(c*x))/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
131,0,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{4} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**4*(a + b*asin(c*x))/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
132,-2,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
133,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**2*(a + b*asin(c*x))/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
134,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x*(a + b*asin(c*x))/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
135,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
136,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/x/(-c**2*d*x**2+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x^{2} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x**2*(-d*(c*x - 1)*(c*x + 1))**(5/2)), x)","F",0
138,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**3/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x^{3} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x**3*(-d*(c*x - 1)*(c*x + 1))**(5/2)), x)","F",0
139,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**4/(-c**2*d*x**2+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
140,0,0,0,0.000000," ","integrate(asin(a*x)/(-a**2*c*x**2+c)**(7/2),x)","\int \frac{\operatorname{asin}{\left(a x \right)}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(asin(a*x)/(-c*(a*x - 1)*(a*x + 1))**(7/2), x)","F",0
141,0,0,0,0.000000," ","integrate((f*x)**(3/2)*(a+b*asin(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{\left(f x\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((f*x)**(3/2)*(a + b*asin(c*x))/sqrt(-(c*x - 1)*(c*x + 1)), x)","F",0
142,-1,0,0,0.000000," ","integrate((f*x)**(3/2)*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
143,0,0,0,0.000000," ","integrate(x**m*(-c**2*d*x**2+d)**3*(a+b*asin(c*x)),x)","- d^{3} \left(\int \left(- a x^{m}\right)\, dx + \int \left(- b x^{m} \operatorname{asin}{\left(c x \right)}\right)\, dx + \int 3 a c^{2} x^{2} x^{m}\, dx + \int \left(- 3 a c^{4} x^{4} x^{m}\right)\, dx + \int a c^{6} x^{6} x^{m}\, dx + \int 3 b c^{2} x^{2} x^{m} \operatorname{asin}{\left(c x \right)}\, dx + \int \left(- 3 b c^{4} x^{4} x^{m} \operatorname{asin}{\left(c x \right)}\right)\, dx + \int b c^{6} x^{6} x^{m} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"-d**3*(Integral(-a*x**m, x) + Integral(-b*x**m*asin(c*x), x) + Integral(3*a*c**2*x**2*x**m, x) + Integral(-3*a*c**4*x**4*x**m, x) + Integral(a*c**6*x**6*x**m, x) + Integral(3*b*c**2*x**2*x**m*asin(c*x), x) + Integral(-3*b*c**4*x**4*x**m*asin(c*x), x) + Integral(b*c**6*x**6*x**m*asin(c*x), x))","F",0
144,0,0,0,0.000000," ","integrate(x**m*(-c**2*d*x**2+d)**2*(a+b*asin(c*x)),x)","d^{2} \left(\int a x^{m}\, dx + \int b x^{m} \operatorname{asin}{\left(c x \right)}\, dx + \int \left(- 2 a c^{2} x^{2} x^{m}\right)\, dx + \int a c^{4} x^{4} x^{m}\, dx + \int \left(- 2 b c^{2} x^{2} x^{m} \operatorname{asin}{\left(c x \right)}\right)\, dx + \int b c^{4} x^{4} x^{m} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"d**2*(Integral(a*x**m, x) + Integral(b*x**m*asin(c*x), x) + Integral(-2*a*c**2*x**2*x**m, x) + Integral(a*c**4*x**4*x**m, x) + Integral(-2*b*c**2*x**2*x**m*asin(c*x), x) + Integral(b*c**4*x**4*x**m*asin(c*x), x))","F",0
145,0,0,0,0.000000," ","integrate(x**m*(-c**2*d*x**2+d)*(a+b*asin(c*x)),x)","- d \left(\int \left(- a x^{m}\right)\, dx + \int \left(- b x^{m} \operatorname{asin}{\left(c x \right)}\right)\, dx + \int a c^{2} x^{2} x^{m}\, dx + \int b c^{2} x^{2} x^{m} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"-d*(Integral(-a*x**m, x) + Integral(-b*x**m*asin(c*x), x) + Integral(a*c**2*x**2*x**m, x) + Integral(b*c**2*x**2*x**m*asin(c*x), x))","F",0
146,0,0,0,0.000000," ","integrate(x**m*(a+b*asin(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a x^{m}}{c^{2} x^{2} - 1}\, dx + \int \frac{b x^{m} \operatorname{asin}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a*x**m/(c**2*x**2 - 1), x) + Integral(b*x**m*asin(c*x)/(c**2*x**2 - 1), x))/d","F",0
147,0,0,0,0.000000," ","integrate(x**m*(a+b*asin(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a x^{m}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b x^{m} \operatorname{asin}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a*x**m/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*x**m*asin(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
148,-1,0,0,0.000000," ","integrate(x**m*(a+b*asin(c*x))/(-c**2*d*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
149,-1,0,0,0.000000," ","integrate(x**m*(-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
150,-1,0,0,0.000000," ","integrate(x**m*(-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
151,0,0,0,0.000000," ","integrate(x**m*(-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x)),x)","\int x^{m} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x**m*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x)), x)","F",0
152,0,0,0,0.000000," ","integrate(x**m*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{m} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**m*(a + b*asin(c*x))/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
153,0,0,0,0.000000," ","integrate(x**m*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{m} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**m*(a + b*asin(c*x))/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
154,-1,0,0,0.000000," ","integrate(x**m*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
155,0,0,0,0.000000," ","integrate(x**m*asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{m} \operatorname{asin}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**m*asin(a*x)/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
156,1,388,0,10.797084," ","integrate(x**4*(-c**2*d*x**2+d)*(a+b*asin(c*x))**2,x)","\begin{cases} - \frac{a^{2} c^{2} d x^{7}}{7} + \frac{a^{2} d x^{5}}{5} - \frac{2 a b c^{2} d x^{7} \operatorname{asin}{\left(c x \right)}}{7} - \frac{2 a b c d x^{6} \sqrt{- c^{2} x^{2} + 1}}{49} + \frac{2 a b d x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{38 a b d x^{4} \sqrt{- c^{2} x^{2} + 1}}{1225 c} + \frac{152 a b d x^{2} \sqrt{- c^{2} x^{2} + 1}}{3675 c^{3}} + \frac{304 a b d \sqrt{- c^{2} x^{2} + 1}}{3675 c^{5}} - \frac{b^{2} c^{2} d x^{7} \operatorname{asin}^{2}{\left(c x \right)}}{7} + \frac{2 b^{2} c^{2} d x^{7}}{343} - \frac{2 b^{2} c d x^{6} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{49} + \frac{b^{2} d x^{5} \operatorname{asin}^{2}{\left(c x \right)}}{5} - \frac{38 b^{2} d x^{5}}{6125} + \frac{38 b^{2} d x^{4} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{1225 c} - \frac{152 b^{2} d x^{3}}{11025 c^{2}} + \frac{152 b^{2} d x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{3675 c^{3}} - \frac{304 b^{2} d x}{3675 c^{4}} + \frac{304 b^{2} d \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{3675 c^{5}} & \text{for}\: c \neq 0 \\\frac{a^{2} d x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c**2*d*x**7/7 + a**2*d*x**5/5 - 2*a*b*c**2*d*x**7*asin(c*x)/7 - 2*a*b*c*d*x**6*sqrt(-c**2*x**2 + 1)/49 + 2*a*b*d*x**5*asin(c*x)/5 + 38*a*b*d*x**4*sqrt(-c**2*x**2 + 1)/(1225*c) + 152*a*b*d*x**2*sqrt(-c**2*x**2 + 1)/(3675*c**3) + 304*a*b*d*sqrt(-c**2*x**2 + 1)/(3675*c**5) - b**2*c**2*d*x**7*asin(c*x)**2/7 + 2*b**2*c**2*d*x**7/343 - 2*b**2*c*d*x**6*sqrt(-c**2*x**2 + 1)*asin(c*x)/49 + b**2*d*x**5*asin(c*x)**2/5 - 38*b**2*d*x**5/6125 + 38*b**2*d*x**4*sqrt(-c**2*x**2 + 1)*asin(c*x)/(1225*c) - 152*b**2*d*x**3/(11025*c**2) + 152*b**2*d*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(3675*c**3) - 304*b**2*d*x/(3675*c**4) + 304*b**2*d*sqrt(-c**2*x**2 + 1)*asin(c*x)/(3675*c**5), Ne(c, 0)), (a**2*d*x**5/5, True))","A",0
157,1,332,0,7.436636," ","integrate(x**3*(-c**2*d*x**2+d)*(a+b*asin(c*x))**2,x)","\begin{cases} - \frac{a^{2} c^{2} d x^{6}}{6} + \frac{a^{2} d x^{4}}{4} - \frac{a b c^{2} d x^{6} \operatorname{asin}{\left(c x \right)}}{3} - \frac{a b c d x^{5} \sqrt{- c^{2} x^{2} + 1}}{18} + \frac{a b d x^{4} \operatorname{asin}{\left(c x \right)}}{2} + \frac{a b d x^{3} \sqrt{- c^{2} x^{2} + 1}}{18 c} + \frac{a b d x \sqrt{- c^{2} x^{2} + 1}}{12 c^{3}} - \frac{a b d \operatorname{asin}{\left(c x \right)}}{12 c^{4}} - \frac{b^{2} c^{2} d x^{6} \operatorname{asin}^{2}{\left(c x \right)}}{6} + \frac{b^{2} c^{2} d x^{6}}{108} - \frac{b^{2} c d x^{5} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{18} + \frac{b^{2} d x^{4} \operatorname{asin}^{2}{\left(c x \right)}}{4} - \frac{b^{2} d x^{4}}{72} + \frac{b^{2} d x^{3} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{18 c} - \frac{b^{2} d x^{2}}{24 c^{2}} + \frac{b^{2} d x \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{12 c^{3}} - \frac{b^{2} d \operatorname{asin}^{2}{\left(c x \right)}}{24 c^{4}} & \text{for}\: c \neq 0 \\\frac{a^{2} d x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c**2*d*x**6/6 + a**2*d*x**4/4 - a*b*c**2*d*x**6*asin(c*x)/3 - a*b*c*d*x**5*sqrt(-c**2*x**2 + 1)/18 + a*b*d*x**4*asin(c*x)/2 + a*b*d*x**3*sqrt(-c**2*x**2 + 1)/(18*c) + a*b*d*x*sqrt(-c**2*x**2 + 1)/(12*c**3) - a*b*d*asin(c*x)/(12*c**4) - b**2*c**2*d*x**6*asin(c*x)**2/6 + b**2*c**2*d*x**6/108 - b**2*c*d*x**5*sqrt(-c**2*x**2 + 1)*asin(c*x)/18 + b**2*d*x**4*asin(c*x)**2/4 - b**2*d*x**4/72 + b**2*d*x**3*sqrt(-c**2*x**2 + 1)*asin(c*x)/(18*c) - b**2*d*x**2/(24*c**2) + b**2*d*x*sqrt(-c**2*x**2 + 1)*asin(c*x)/(12*c**3) - b**2*d*asin(c*x)**2/(24*c**4), Ne(c, 0)), (a**2*d*x**4/4, True))","A",0
158,1,313,0,4.010888," ","integrate(x**2*(-c**2*d*x**2+d)*(a+b*asin(c*x))**2,x)","\begin{cases} - \frac{a^{2} c^{2} d x^{5}}{5} + \frac{a^{2} d x^{3}}{3} - \frac{2 a b c^{2} d x^{5} \operatorname{asin}{\left(c x \right)}}{5} - \frac{2 a b c d x^{4} \sqrt{- c^{2} x^{2} + 1}}{25} + \frac{2 a b d x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{26 a b d x^{2} \sqrt{- c^{2} x^{2} + 1}}{225 c} + \frac{52 a b d \sqrt{- c^{2} x^{2} + 1}}{225 c^{3}} - \frac{b^{2} c^{2} d x^{5} \operatorname{asin}^{2}{\left(c x \right)}}{5} + \frac{2 b^{2} c^{2} d x^{5}}{125} - \frac{2 b^{2} c d x^{4} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{25} + \frac{b^{2} d x^{3} \operatorname{asin}^{2}{\left(c x \right)}}{3} - \frac{26 b^{2} d x^{3}}{675} + \frac{26 b^{2} d x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{225 c} - \frac{52 b^{2} d x}{225 c^{2}} + \frac{52 b^{2} d \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{225 c^{3}} & \text{for}\: c \neq 0 \\\frac{a^{2} d x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c**2*d*x**5/5 + a**2*d*x**3/3 - 2*a*b*c**2*d*x**5*asin(c*x)/5 - 2*a*b*c*d*x**4*sqrt(-c**2*x**2 + 1)/25 + 2*a*b*d*x**3*asin(c*x)/3 + 26*a*b*d*x**2*sqrt(-c**2*x**2 + 1)/(225*c) + 52*a*b*d*sqrt(-c**2*x**2 + 1)/(225*c**3) - b**2*c**2*d*x**5*asin(c*x)**2/5 + 2*b**2*c**2*d*x**5/125 - 2*b**2*c*d*x**4*sqrt(-c**2*x**2 + 1)*asin(c*x)/25 + b**2*d*x**3*asin(c*x)**2/3 - 26*b**2*d*x**3/675 + 26*b**2*d*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(225*c) - 52*b**2*d*x/(225*c**2) + 52*b**2*d*sqrt(-c**2*x**2 + 1)*asin(c*x)/(225*c**3), Ne(c, 0)), (a**2*d*x**3/3, True))","A",0
159,1,269,0,2.558849," ","integrate(x*(-c**2*d*x**2+d)*(a+b*asin(c*x))**2,x)","\begin{cases} - \frac{a^{2} c^{2} d x^{4}}{4} + \frac{a^{2} d x^{2}}{2} - \frac{a b c^{2} d x^{4} \operatorname{asin}{\left(c x \right)}}{2} - \frac{a b c d x^{3} \sqrt{- c^{2} x^{2} + 1}}{8} + a b d x^{2} \operatorname{asin}{\left(c x \right)} + \frac{5 a b d x \sqrt{- c^{2} x^{2} + 1}}{16 c} - \frac{5 a b d \operatorname{asin}{\left(c x \right)}}{16 c^{2}} - \frac{b^{2} c^{2} d x^{4} \operatorname{asin}^{2}{\left(c x \right)}}{4} + \frac{b^{2} c^{2} d x^{4}}{32} - \frac{b^{2} c d x^{3} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{8} + \frac{b^{2} d x^{2} \operatorname{asin}^{2}{\left(c x \right)}}{2} - \frac{5 b^{2} d x^{2}}{32} + \frac{5 b^{2} d x \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{16 c} - \frac{5 b^{2} d \operatorname{asin}^{2}{\left(c x \right)}}{32 c^{2}} & \text{for}\: c \neq 0 \\\frac{a^{2} d x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c**2*d*x**4/4 + a**2*d*x**2/2 - a*b*c**2*d*x**4*asin(c*x)/2 - a*b*c*d*x**3*sqrt(-c**2*x**2 + 1)/8 + a*b*d*x**2*asin(c*x) + 5*a*b*d*x*sqrt(-c**2*x**2 + 1)/(16*c) - 5*a*b*d*asin(c*x)/(16*c**2) - b**2*c**2*d*x**4*asin(c*x)**2/4 + b**2*c**2*d*x**4/32 - b**2*c*d*x**3*sqrt(-c**2*x**2 + 1)*asin(c*x)/8 + b**2*d*x**2*asin(c*x)**2/2 - 5*b**2*d*x**2/32 + 5*b**2*d*x*sqrt(-c**2*x**2 + 1)*asin(c*x)/(16*c) - 5*b**2*d*asin(c*x)**2/(32*c**2), Ne(c, 0)), (a**2*d*x**2/2, True))","A",0
160,1,224,0,1.282349," ","integrate((-c**2*d*x**2+d)*(a+b*asin(c*x))**2,x)","\begin{cases} - \frac{a^{2} c^{2} d x^{3}}{3} + a^{2} d x - \frac{2 a b c^{2} d x^{3} \operatorname{asin}{\left(c x \right)}}{3} - \frac{2 a b c d x^{2} \sqrt{- c^{2} x^{2} + 1}}{9} + 2 a b d x \operatorname{asin}{\left(c x \right)} + \frac{14 a b d \sqrt{- c^{2} x^{2} + 1}}{9 c} - \frac{b^{2} c^{2} d x^{3} \operatorname{asin}^{2}{\left(c x \right)}}{3} + \frac{2 b^{2} c^{2} d x^{3}}{27} - \frac{2 b^{2} c d x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{9} + b^{2} d x \operatorname{asin}^{2}{\left(c x \right)} - \frac{14 b^{2} d x}{9} + \frac{14 b^{2} d \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{9 c} & \text{for}\: c \neq 0 \\a^{2} d x & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c**2*d*x**3/3 + a**2*d*x - 2*a*b*c**2*d*x**3*asin(c*x)/3 - 2*a*b*c*d*x**2*sqrt(-c**2*x**2 + 1)/9 + 2*a*b*d*x*asin(c*x) + 14*a*b*d*sqrt(-c**2*x**2 + 1)/(9*c) - b**2*c**2*d*x**3*asin(c*x)**2/3 + 2*b**2*c**2*d*x**3/27 - 2*b**2*c*d*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/9 + b**2*d*x*asin(c*x)**2 - 14*b**2*d*x/9 + 14*b**2*d*sqrt(-c**2*x**2 + 1)*asin(c*x)/(9*c), Ne(c, 0)), (a**2*d*x, True))","A",0
161,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)*(a+b*asin(c*x))**2/x,x)","- d \left(\int \left(- \frac{a^{2}}{x}\right)\, dx + \int a^{2} c^{2} x\, dx + \int \left(- \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x}\right)\, dx + \int \left(- \frac{2 a b \operatorname{asin}{\left(c x \right)}}{x}\right)\, dx + \int b^{2} c^{2} x \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int 2 a b c^{2} x \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"-d*(Integral(-a**2/x, x) + Integral(a**2*c**2*x, x) + Integral(-b**2*asin(c*x)**2/x, x) + Integral(-2*a*b*asin(c*x)/x, x) + Integral(b**2*c**2*x*asin(c*x)**2, x) + Integral(2*a*b*c**2*x*asin(c*x), x))","F",0
162,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)*(a+b*asin(c*x))**2/x**2,x)","- d \left(\int a^{2} c^{2}\, dx + \int \left(- \frac{a^{2}}{x^{2}}\right)\, dx + \int b^{2} c^{2} \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int \left(- \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x^{2}}\right)\, dx + \int 2 a b c^{2} \operatorname{asin}{\left(c x \right)}\, dx + \int \left(- \frac{2 a b \operatorname{asin}{\left(c x \right)}}{x^{2}}\right)\, dx\right)"," ",0,"-d*(Integral(a**2*c**2, x) + Integral(-a**2/x**2, x) + Integral(b**2*c**2*asin(c*x)**2, x) + Integral(-b**2*asin(c*x)**2/x**2, x) + Integral(2*a*b*c**2*asin(c*x), x) + Integral(-2*a*b*asin(c*x)/x**2, x))","F",0
163,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)*(a+b*asin(c*x))**2/x**3,x)","- d \left(\int \left(- \frac{a^{2}}{x^{3}}\right)\, dx + \int \frac{a^{2} c^{2}}{x}\, dx + \int \left(- \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x^{3}}\right)\, dx + \int \left(- \frac{2 a b \operatorname{asin}{\left(c x \right)}}{x^{3}}\right)\, dx + \int \frac{b^{2} c^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x}\, dx + \int \frac{2 a b c^{2} \operatorname{asin}{\left(c x \right)}}{x}\, dx\right)"," ",0,"-d*(Integral(-a**2/x**3, x) + Integral(a**2*c**2/x, x) + Integral(-b**2*asin(c*x)**2/x**3, x) + Integral(-2*a*b*asin(c*x)/x**3, x) + Integral(b**2*c**2*asin(c*x)**2/x, x) + Integral(2*a*b*c**2*asin(c*x)/x, x))","F",0
164,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)*(a+b*asin(c*x))**2/x**4,x)","- d \left(\int \left(- \frac{a^{2}}{x^{4}}\right)\, dx + \int \frac{a^{2} c^{2}}{x^{2}}\, dx + \int \left(- \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x^{4}}\right)\, dx + \int \left(- \frac{2 a b \operatorname{asin}{\left(c x \right)}}{x^{4}}\right)\, dx + \int \frac{b^{2} c^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x^{2}}\, dx + \int \frac{2 a b c^{2} \operatorname{asin}{\left(c x \right)}}{x^{2}}\, dx\right)"," ",0,"-d*(Integral(-a**2/x**4, x) + Integral(a**2*c**2/x**2, x) + Integral(-b**2*asin(c*x)**2/x**4, x) + Integral(-2*a*b*asin(c*x)/x**4, x) + Integral(b**2*c**2*asin(c*x)**2/x**2, x) + Integral(2*a*b*c**2*asin(c*x)/x**2, x))","F",0
165,1,563,0,28.801489," ","integrate(x**4*(-c**2*d*x**2+d)**2*(a+b*asin(c*x))**2,x)","\begin{cases} \frac{a^{2} c^{4} d^{2} x^{9}}{9} - \frac{2 a^{2} c^{2} d^{2} x^{7}}{7} + \frac{a^{2} d^{2} x^{5}}{5} + \frac{2 a b c^{4} d^{2} x^{9} \operatorname{asin}{\left(c x \right)}}{9} + \frac{2 a b c^{3} d^{2} x^{8} \sqrt{- c^{2} x^{2} + 1}}{81} - \frac{4 a b c^{2} d^{2} x^{7} \operatorname{asin}{\left(c x \right)}}{7} - \frac{212 a b c d^{2} x^{6} \sqrt{- c^{2} x^{2} + 1}}{3969} + \frac{2 a b d^{2} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{526 a b d^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{33075 c} + \frac{2104 a b d^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{99225 c^{3}} + \frac{4208 a b d^{2} \sqrt{- c^{2} x^{2} + 1}}{99225 c^{5}} + \frac{b^{2} c^{4} d^{2} x^{9} \operatorname{asin}^{2}{\left(c x \right)}}{9} - \frac{2 b^{2} c^{4} d^{2} x^{9}}{729} + \frac{2 b^{2} c^{3} d^{2} x^{8} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{81} - \frac{2 b^{2} c^{2} d^{2} x^{7} \operatorname{asin}^{2}{\left(c x \right)}}{7} + \frac{212 b^{2} c^{2} d^{2} x^{7}}{27783} - \frac{212 b^{2} c d^{2} x^{6} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{3969} + \frac{b^{2} d^{2} x^{5} \operatorname{asin}^{2}{\left(c x \right)}}{5} - \frac{526 b^{2} d^{2} x^{5}}{165375} + \frac{526 b^{2} d^{2} x^{4} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{33075 c} - \frac{2104 b^{2} d^{2} x^{3}}{297675 c^{2}} + \frac{2104 b^{2} d^{2} x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{99225 c^{3}} - \frac{4208 b^{2} d^{2} x}{99225 c^{4}} + \frac{4208 b^{2} d^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{99225 c^{5}} & \text{for}\: c \neq 0 \\\frac{a^{2} d^{2} x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*c**4*d**2*x**9/9 - 2*a**2*c**2*d**2*x**7/7 + a**2*d**2*x**5/5 + 2*a*b*c**4*d**2*x**9*asin(c*x)/9 + 2*a*b*c**3*d**2*x**8*sqrt(-c**2*x**2 + 1)/81 - 4*a*b*c**2*d**2*x**7*asin(c*x)/7 - 212*a*b*c*d**2*x**6*sqrt(-c**2*x**2 + 1)/3969 + 2*a*b*d**2*x**5*asin(c*x)/5 + 526*a*b*d**2*x**4*sqrt(-c**2*x**2 + 1)/(33075*c) + 2104*a*b*d**2*x**2*sqrt(-c**2*x**2 + 1)/(99225*c**3) + 4208*a*b*d**2*sqrt(-c**2*x**2 + 1)/(99225*c**5) + b**2*c**4*d**2*x**9*asin(c*x)**2/9 - 2*b**2*c**4*d**2*x**9/729 + 2*b**2*c**3*d**2*x**8*sqrt(-c**2*x**2 + 1)*asin(c*x)/81 - 2*b**2*c**2*d**2*x**7*asin(c*x)**2/7 + 212*b**2*c**2*d**2*x**7/27783 - 212*b**2*c*d**2*x**6*sqrt(-c**2*x**2 + 1)*asin(c*x)/3969 + b**2*d**2*x**5*asin(c*x)**2/5 - 526*b**2*d**2*x**5/165375 + 526*b**2*d**2*x**4*sqrt(-c**2*x**2 + 1)*asin(c*x)/(33075*c) - 2104*b**2*d**2*x**3/(297675*c**2) + 2104*b**2*d**2*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(99225*c**3) - 4208*b**2*d**2*x/(99225*c**4) + 4208*b**2*d**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(99225*c**5), Ne(c, 0)), (a**2*d**2*x**5/5, True))","A",0
166,1,515,0,21.820217," ","integrate(x**3*(-c**2*d*x**2+d)**2*(a+b*asin(c*x))**2,x)","\begin{cases} \frac{a^{2} c^{4} d^{2} x^{8}}{8} - \frac{a^{2} c^{2} d^{2} x^{6}}{3} + \frac{a^{2} d^{2} x^{4}}{4} + \frac{a b c^{4} d^{2} x^{8} \operatorname{asin}{\left(c x \right)}}{4} + \frac{a b c^{3} d^{2} x^{7} \sqrt{- c^{2} x^{2} + 1}}{32} - \frac{2 a b c^{2} d^{2} x^{6} \operatorname{asin}{\left(c x \right)}}{3} - \frac{43 a b c d^{2} x^{5} \sqrt{- c^{2} x^{2} + 1}}{576} + \frac{a b d^{2} x^{4} \operatorname{asin}{\left(c x \right)}}{2} + \frac{73 a b d^{2} x^{3} \sqrt{- c^{2} x^{2} + 1}}{2304 c} + \frac{73 a b d^{2} x \sqrt{- c^{2} x^{2} + 1}}{1536 c^{3}} - \frac{73 a b d^{2} \operatorname{asin}{\left(c x \right)}}{1536 c^{4}} + \frac{b^{2} c^{4} d^{2} x^{8} \operatorname{asin}^{2}{\left(c x \right)}}{8} - \frac{b^{2} c^{4} d^{2} x^{8}}{256} + \frac{b^{2} c^{3} d^{2} x^{7} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{32} - \frac{b^{2} c^{2} d^{2} x^{6} \operatorname{asin}^{2}{\left(c x \right)}}{3} + \frac{43 b^{2} c^{2} d^{2} x^{6}}{3456} - \frac{43 b^{2} c d^{2} x^{5} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{576} + \frac{b^{2} d^{2} x^{4} \operatorname{asin}^{2}{\left(c x \right)}}{4} - \frac{73 b^{2} d^{2} x^{4}}{9216} + \frac{73 b^{2} d^{2} x^{3} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{2304 c} - \frac{73 b^{2} d^{2} x^{2}}{3072 c^{2}} + \frac{73 b^{2} d^{2} x \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{1536 c^{3}} - \frac{73 b^{2} d^{2} \operatorname{asin}^{2}{\left(c x \right)}}{3072 c^{4}} & \text{for}\: c \neq 0 \\\frac{a^{2} d^{2} x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*c**4*d**2*x**8/8 - a**2*c**2*d**2*x**6/3 + a**2*d**2*x**4/4 + a*b*c**4*d**2*x**8*asin(c*x)/4 + a*b*c**3*d**2*x**7*sqrt(-c**2*x**2 + 1)/32 - 2*a*b*c**2*d**2*x**6*asin(c*x)/3 - 43*a*b*c*d**2*x**5*sqrt(-c**2*x**2 + 1)/576 + a*b*d**2*x**4*asin(c*x)/2 + 73*a*b*d**2*x**3*sqrt(-c**2*x**2 + 1)/(2304*c) + 73*a*b*d**2*x*sqrt(-c**2*x**2 + 1)/(1536*c**3) - 73*a*b*d**2*asin(c*x)/(1536*c**4) + b**2*c**4*d**2*x**8*asin(c*x)**2/8 - b**2*c**4*d**2*x**8/256 + b**2*c**3*d**2*x**7*sqrt(-c**2*x**2 + 1)*asin(c*x)/32 - b**2*c**2*d**2*x**6*asin(c*x)**2/3 + 43*b**2*c**2*d**2*x**6/3456 - 43*b**2*c*d**2*x**5*sqrt(-c**2*x**2 + 1)*asin(c*x)/576 + b**2*d**2*x**4*asin(c*x)**2/4 - 73*b**2*d**2*x**4/9216 + 73*b**2*d**2*x**3*sqrt(-c**2*x**2 + 1)*asin(c*x)/(2304*c) - 73*b**2*d**2*x**2/(3072*c**2) + 73*b**2*d**2*x*sqrt(-c**2*x**2 + 1)*asin(c*x)/(1536*c**3) - 73*b**2*d**2*asin(c*x)**2/(3072*c**4), Ne(c, 0)), (a**2*d**2*x**4/4, True))","A",0
167,1,483,0,11.926619," ","integrate(x**2*(-c**2*d*x**2+d)**2*(a+b*asin(c*x))**2,x)","\begin{cases} \frac{a^{2} c^{4} d^{2} x^{7}}{7} - \frac{2 a^{2} c^{2} d^{2} x^{5}}{5} + \frac{a^{2} d^{2} x^{3}}{3} + \frac{2 a b c^{4} d^{2} x^{7} \operatorname{asin}{\left(c x \right)}}{7} + \frac{2 a b c^{3} d^{2} x^{6} \sqrt{- c^{2} x^{2} + 1}}{49} - \frac{4 a b c^{2} d^{2} x^{5} \operatorname{asin}{\left(c x \right)}}{5} - \frac{136 a b c d^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{1225} + \frac{2 a b d^{2} x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{818 a b d^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{11025 c} + \frac{1636 a b d^{2} \sqrt{- c^{2} x^{2} + 1}}{11025 c^{3}} + \frac{b^{2} c^{4} d^{2} x^{7} \operatorname{asin}^{2}{\left(c x \right)}}{7} - \frac{2 b^{2} c^{4} d^{2} x^{7}}{343} + \frac{2 b^{2} c^{3} d^{2} x^{6} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{49} - \frac{2 b^{2} c^{2} d^{2} x^{5} \operatorname{asin}^{2}{\left(c x \right)}}{5} + \frac{136 b^{2} c^{2} d^{2} x^{5}}{6125} - \frac{136 b^{2} c d^{2} x^{4} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{1225} + \frac{b^{2} d^{2} x^{3} \operatorname{asin}^{2}{\left(c x \right)}}{3} - \frac{818 b^{2} d^{2} x^{3}}{33075} + \frac{818 b^{2} d^{2} x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{11025 c} - \frac{1636 b^{2} d^{2} x}{11025 c^{2}} + \frac{1636 b^{2} d^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{11025 c^{3}} & \text{for}\: c \neq 0 \\\frac{a^{2} d^{2} x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*c**4*d**2*x**7/7 - 2*a**2*c**2*d**2*x**5/5 + a**2*d**2*x**3/3 + 2*a*b*c**4*d**2*x**7*asin(c*x)/7 + 2*a*b*c**3*d**2*x**6*sqrt(-c**2*x**2 + 1)/49 - 4*a*b*c**2*d**2*x**5*asin(c*x)/5 - 136*a*b*c*d**2*x**4*sqrt(-c**2*x**2 + 1)/1225 + 2*a*b*d**2*x**3*asin(c*x)/3 + 818*a*b*d**2*x**2*sqrt(-c**2*x**2 + 1)/(11025*c) + 1636*a*b*d**2*sqrt(-c**2*x**2 + 1)/(11025*c**3) + b**2*c**4*d**2*x**7*asin(c*x)**2/7 - 2*b**2*c**4*d**2*x**7/343 + 2*b**2*c**3*d**2*x**6*sqrt(-c**2*x**2 + 1)*asin(c*x)/49 - 2*b**2*c**2*d**2*x**5*asin(c*x)**2/5 + 136*b**2*c**2*d**2*x**5/6125 - 136*b**2*c*d**2*x**4*sqrt(-c**2*x**2 + 1)*asin(c*x)/1225 + b**2*d**2*x**3*asin(c*x)**2/3 - 818*b**2*d**2*x**3/33075 + 818*b**2*d**2*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(11025*c) - 1636*b**2*d**2*x/(11025*c**2) + 1636*b**2*d**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(11025*c**3), Ne(c, 0)), (a**2*d**2*x**3/3, True))","A",0
168,1,430,0,8.233335," ","integrate(x*(-c**2*d*x**2+d)**2*(a+b*asin(c*x))**2,x)","\begin{cases} \frac{a^{2} c^{4} d^{2} x^{6}}{6} - \frac{a^{2} c^{2} d^{2} x^{4}}{2} + \frac{a^{2} d^{2} x^{2}}{2} + \frac{a b c^{4} d^{2} x^{6} \operatorname{asin}{\left(c x \right)}}{3} + \frac{a b c^{3} d^{2} x^{5} \sqrt{- c^{2} x^{2} + 1}}{18} - a b c^{2} d^{2} x^{4} \operatorname{asin}{\left(c x \right)} - \frac{13 a b c d^{2} x^{3} \sqrt{- c^{2} x^{2} + 1}}{72} + a b d^{2} x^{2} \operatorname{asin}{\left(c x \right)} + \frac{11 a b d^{2} x \sqrt{- c^{2} x^{2} + 1}}{48 c} - \frac{11 a b d^{2} \operatorname{asin}{\left(c x \right)}}{48 c^{2}} + \frac{b^{2} c^{4} d^{2} x^{6} \operatorname{asin}^{2}{\left(c x \right)}}{6} - \frac{b^{2} c^{4} d^{2} x^{6}}{108} + \frac{b^{2} c^{3} d^{2} x^{5} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{18} - \frac{b^{2} c^{2} d^{2} x^{4} \operatorname{asin}^{2}{\left(c x \right)}}{2} + \frac{13 b^{2} c^{2} d^{2} x^{4}}{288} - \frac{13 b^{2} c d^{2} x^{3} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{72} + \frac{b^{2} d^{2} x^{2} \operatorname{asin}^{2}{\left(c x \right)}}{2} - \frac{11 b^{2} d^{2} x^{2}}{96} + \frac{11 b^{2} d^{2} x \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{48 c} - \frac{11 b^{2} d^{2} \operatorname{asin}^{2}{\left(c x \right)}}{96 c^{2}} & \text{for}\: c \neq 0 \\\frac{a^{2} d^{2} x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*c**4*d**2*x**6/6 - a**2*c**2*d**2*x**4/2 + a**2*d**2*x**2/2 + a*b*c**4*d**2*x**6*asin(c*x)/3 + a*b*c**3*d**2*x**5*sqrt(-c**2*x**2 + 1)/18 - a*b*c**2*d**2*x**4*asin(c*x) - 13*a*b*c*d**2*x**3*sqrt(-c**2*x**2 + 1)/72 + a*b*d**2*x**2*asin(c*x) + 11*a*b*d**2*x*sqrt(-c**2*x**2 + 1)/(48*c) - 11*a*b*d**2*asin(c*x)/(48*c**2) + b**2*c**4*d**2*x**6*asin(c*x)**2/6 - b**2*c**4*d**2*x**6/108 + b**2*c**3*d**2*x**5*sqrt(-c**2*x**2 + 1)*asin(c*x)/18 - b**2*c**2*d**2*x**4*asin(c*x)**2/2 + 13*b**2*c**2*d**2*x**4/288 - 13*b**2*c*d**2*x**3*sqrt(-c**2*x**2 + 1)*asin(c*x)/72 + b**2*d**2*x**2*asin(c*x)**2/2 - 11*b**2*d**2*x**2/96 + 11*b**2*d**2*x*sqrt(-c**2*x**2 + 1)*asin(c*x)/(48*c) - 11*b**2*d**2*asin(c*x)**2/(96*c**2), Ne(c, 0)), (a**2*d**2*x**2/2, True))","A",0
169,1,389,0,4.492873," ","integrate((-c**2*d*x**2+d)**2*(a+b*asin(c*x))**2,x)","\begin{cases} \frac{a^{2} c^{4} d^{2} x^{5}}{5} - \frac{2 a^{2} c^{2} d^{2} x^{3}}{3} + a^{2} d^{2} x + \frac{2 a b c^{4} d^{2} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{2 a b c^{3} d^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{25} - \frac{4 a b c^{2} d^{2} x^{3} \operatorname{asin}{\left(c x \right)}}{3} - \frac{76 a b c d^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{225} + 2 a b d^{2} x \operatorname{asin}{\left(c x \right)} + \frac{298 a b d^{2} \sqrt{- c^{2} x^{2} + 1}}{225 c} + \frac{b^{2} c^{4} d^{2} x^{5} \operatorname{asin}^{2}{\left(c x \right)}}{5} - \frac{2 b^{2} c^{4} d^{2} x^{5}}{125} + \frac{2 b^{2} c^{3} d^{2} x^{4} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{25} - \frac{2 b^{2} c^{2} d^{2} x^{3} \operatorname{asin}^{2}{\left(c x \right)}}{3} + \frac{76 b^{2} c^{2} d^{2} x^{3}}{675} - \frac{76 b^{2} c d^{2} x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{225} + b^{2} d^{2} x \operatorname{asin}^{2}{\left(c x \right)} - \frac{298 b^{2} d^{2} x}{225} + \frac{298 b^{2} d^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{225 c} & \text{for}\: c \neq 0 \\a^{2} d^{2} x & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*c**4*d**2*x**5/5 - 2*a**2*c**2*d**2*x**3/3 + a**2*d**2*x + 2*a*b*c**4*d**2*x**5*asin(c*x)/5 + 2*a*b*c**3*d**2*x**4*sqrt(-c**2*x**2 + 1)/25 - 4*a*b*c**2*d**2*x**3*asin(c*x)/3 - 76*a*b*c*d**2*x**2*sqrt(-c**2*x**2 + 1)/225 + 2*a*b*d**2*x*asin(c*x) + 298*a*b*d**2*sqrt(-c**2*x**2 + 1)/(225*c) + b**2*c**4*d**2*x**5*asin(c*x)**2/5 - 2*b**2*c**4*d**2*x**5/125 + 2*b**2*c**3*d**2*x**4*sqrt(-c**2*x**2 + 1)*asin(c*x)/25 - 2*b**2*c**2*d**2*x**3*asin(c*x)**2/3 + 76*b**2*c**2*d**2*x**3/675 - 76*b**2*c*d**2*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/225 + b**2*d**2*x*asin(c*x)**2 - 298*b**2*d**2*x/225 + 298*b**2*d**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(225*c), Ne(c, 0)), (a**2*d**2*x, True))","A",0
170,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**2*(a+b*asin(c*x))**2/x,x)","d^{2} \left(\int \frac{a^{2}}{x}\, dx + \int \left(- 2 a^{2} c^{2} x\right)\, dx + \int a^{2} c^{4} x^{3}\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{x}\, dx + \int \left(- 2 b^{2} c^{2} x \operatorname{asin}^{2}{\left(c x \right)}\right)\, dx + \int b^{2} c^{4} x^{3} \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int \left(- 4 a b c^{2} x \operatorname{asin}{\left(c x \right)}\right)\, dx + \int 2 a b c^{4} x^{3} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"d**2*(Integral(a**2/x, x) + Integral(-2*a**2*c**2*x, x) + Integral(a**2*c**4*x**3, x) + Integral(b**2*asin(c*x)**2/x, x) + Integral(2*a*b*asin(c*x)/x, x) + Integral(-2*b**2*c**2*x*asin(c*x)**2, x) + Integral(b**2*c**4*x**3*asin(c*x)**2, x) + Integral(-4*a*b*c**2*x*asin(c*x), x) + Integral(2*a*b*c**4*x**3*asin(c*x), x))","F",0
171,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**2*(a+b*asin(c*x))**2/x**2,x)","d^{2} \left(\int \left(- 2 a^{2} c^{2}\right)\, dx + \int \frac{a^{2}}{x^{2}}\, dx + \int a^{2} c^{4} x^{2}\, dx + \int \left(- 2 b^{2} c^{2} \operatorname{asin}^{2}{\left(c x \right)}\right)\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x^{2}}\, dx + \int \left(- 4 a b c^{2} \operatorname{asin}{\left(c x \right)}\right)\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{x^{2}}\, dx + \int b^{2} c^{4} x^{2} \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int 2 a b c^{4} x^{2} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"d**2*(Integral(-2*a**2*c**2, x) + Integral(a**2/x**2, x) + Integral(a**2*c**4*x**2, x) + Integral(-2*b**2*c**2*asin(c*x)**2, x) + Integral(b**2*asin(c*x)**2/x**2, x) + Integral(-4*a*b*c**2*asin(c*x), x) + Integral(2*a*b*asin(c*x)/x**2, x) + Integral(b**2*c**4*x**2*asin(c*x)**2, x) + Integral(2*a*b*c**4*x**2*asin(c*x), x))","F",0
172,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**2*(a+b*asin(c*x))**2/x**3,x)","d^{2} \left(\int \frac{a^{2}}{x^{3}}\, dx + \int \left(- \frac{2 a^{2} c^{2}}{x}\right)\, dx + \int a^{2} c^{4} x\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x^{3}}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{x^{3}}\, dx + \int \left(- \frac{2 b^{2} c^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x}\right)\, dx + \int b^{2} c^{4} x \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int \left(- \frac{4 a b c^{2} \operatorname{asin}{\left(c x \right)}}{x}\right)\, dx + \int 2 a b c^{4} x \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"d**2*(Integral(a**2/x**3, x) + Integral(-2*a**2*c**2/x, x) + Integral(a**2*c**4*x, x) + Integral(b**2*asin(c*x)**2/x**3, x) + Integral(2*a*b*asin(c*x)/x**3, x) + Integral(-2*b**2*c**2*asin(c*x)**2/x, x) + Integral(b**2*c**4*x*asin(c*x)**2, x) + Integral(-4*a*b*c**2*asin(c*x)/x, x) + Integral(2*a*b*c**4*x*asin(c*x), x))","F",0
173,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**2*(a+b*asin(c*x))**2/x**4,x)","d^{2} \left(\int a^{2} c^{4}\, dx + \int \frac{a^{2}}{x^{4}}\, dx + \int \left(- \frac{2 a^{2} c^{2}}{x^{2}}\right)\, dx + \int b^{2} c^{4} \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x^{4}}\, dx + \int 2 a b c^{4} \operatorname{asin}{\left(c x \right)}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{x^{4}}\, dx + \int \left(- \frac{2 b^{2} c^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x^{2}}\right)\, dx + \int \left(- \frac{4 a b c^{2} \operatorname{asin}{\left(c x \right)}}{x^{2}}\right)\, dx\right)"," ",0,"d**2*(Integral(a**2*c**4, x) + Integral(a**2/x**4, x) + Integral(-2*a**2*c**2/x**2, x) + Integral(b**2*c**4*asin(c*x)**2, x) + Integral(b**2*asin(c*x)**2/x**4, x) + Integral(2*a*b*c**4*asin(c*x), x) + Integral(2*a*b*asin(c*x)/x**4, x) + Integral(-2*b**2*c**2*asin(c*x)**2/x**2, x) + Integral(-4*a*b*c**2*asin(c*x)/x**2, x))","F",0
174,1,702,0,67.478560," ","integrate(x**4*(-c**2*d*x**2+d)**3*(a+b*asin(c*x))**2,x)","\begin{cases} - \frac{a^{2} c^{6} d^{3} x^{11}}{11} + \frac{a^{2} c^{4} d^{3} x^{9}}{3} - \frac{3 a^{2} c^{2} d^{3} x^{7}}{7} + \frac{a^{2} d^{3} x^{5}}{5} - \frac{2 a b c^{6} d^{3} x^{11} \operatorname{asin}{\left(c x \right)}}{11} - \frac{2 a b c^{5} d^{3} x^{10} \sqrt{- c^{2} x^{2} + 1}}{121} + \frac{2 a b c^{4} d^{3} x^{9} \operatorname{asin}{\left(c x \right)}}{3} + \frac{182 a b c^{3} d^{3} x^{8} \sqrt{- c^{2} x^{2} + 1}}{3267} - \frac{6 a b c^{2} d^{3} x^{7} \operatorname{asin}{\left(c x \right)}}{7} - \frac{9410 a b c d^{3} x^{6} \sqrt{- c^{2} x^{2} + 1}}{160083} + \frac{2 a b d^{3} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{12622 a b d^{3} x^{4} \sqrt{- c^{2} x^{2} + 1}}{1334025 c} + \frac{50488 a b d^{3} x^{2} \sqrt{- c^{2} x^{2} + 1}}{4002075 c^{3}} + \frac{100976 a b d^{3} \sqrt{- c^{2} x^{2} + 1}}{4002075 c^{5}} - \frac{b^{2} c^{6} d^{3} x^{11} \operatorname{asin}^{2}{\left(c x \right)}}{11} + \frac{2 b^{2} c^{6} d^{3} x^{11}}{1331} - \frac{2 b^{2} c^{5} d^{3} x^{10} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{121} + \frac{b^{2} c^{4} d^{3} x^{9} \operatorname{asin}^{2}{\left(c x \right)}}{3} - \frac{182 b^{2} c^{4} d^{3} x^{9}}{29403} + \frac{182 b^{2} c^{3} d^{3} x^{8} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{3267} - \frac{3 b^{2} c^{2} d^{3} x^{7} \operatorname{asin}^{2}{\left(c x \right)}}{7} + \frac{9410 b^{2} c^{2} d^{3} x^{7}}{1120581} - \frac{9410 b^{2} c d^{3} x^{6} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{160083} + \frac{b^{2} d^{3} x^{5} \operatorname{asin}^{2}{\left(c x \right)}}{5} - \frac{12622 b^{2} d^{3} x^{5}}{6670125} + \frac{12622 b^{2} d^{3} x^{4} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{1334025 c} - \frac{50488 b^{2} d^{3} x^{3}}{12006225 c^{2}} + \frac{50488 b^{2} d^{3} x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{4002075 c^{3}} - \frac{100976 b^{2} d^{3} x}{4002075 c^{4}} + \frac{100976 b^{2} d^{3} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{4002075 c^{5}} & \text{for}\: c \neq 0 \\\frac{a^{2} d^{3} x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c**6*d**3*x**11/11 + a**2*c**4*d**3*x**9/3 - 3*a**2*c**2*d**3*x**7/7 + a**2*d**3*x**5/5 - 2*a*b*c**6*d**3*x**11*asin(c*x)/11 - 2*a*b*c**5*d**3*x**10*sqrt(-c**2*x**2 + 1)/121 + 2*a*b*c**4*d**3*x**9*asin(c*x)/3 + 182*a*b*c**3*d**3*x**8*sqrt(-c**2*x**2 + 1)/3267 - 6*a*b*c**2*d**3*x**7*asin(c*x)/7 - 9410*a*b*c*d**3*x**6*sqrt(-c**2*x**2 + 1)/160083 + 2*a*b*d**3*x**5*asin(c*x)/5 + 12622*a*b*d**3*x**4*sqrt(-c**2*x**2 + 1)/(1334025*c) + 50488*a*b*d**3*x**2*sqrt(-c**2*x**2 + 1)/(4002075*c**3) + 100976*a*b*d**3*sqrt(-c**2*x**2 + 1)/(4002075*c**5) - b**2*c**6*d**3*x**11*asin(c*x)**2/11 + 2*b**2*c**6*d**3*x**11/1331 - 2*b**2*c**5*d**3*x**10*sqrt(-c**2*x**2 + 1)*asin(c*x)/121 + b**2*c**4*d**3*x**9*asin(c*x)**2/3 - 182*b**2*c**4*d**3*x**9/29403 + 182*b**2*c**3*d**3*x**8*sqrt(-c**2*x**2 + 1)*asin(c*x)/3267 - 3*b**2*c**2*d**3*x**7*asin(c*x)**2/7 + 9410*b**2*c**2*d**3*x**7/1120581 - 9410*b**2*c*d**3*x**6*sqrt(-c**2*x**2 + 1)*asin(c*x)/160083 + b**2*d**3*x**5*asin(c*x)**2/5 - 12622*b**2*d**3*x**5/6670125 + 12622*b**2*d**3*x**4*sqrt(-c**2*x**2 + 1)*asin(c*x)/(1334025*c) - 50488*b**2*d**3*x**3/(12006225*c**2) + 50488*b**2*d**3*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(4002075*c**3) - 100976*b**2*d**3*x/(4002075*c**4) + 100976*b**2*d**3*sqrt(-c**2*x**2 + 1)*asin(c*x)/(4002075*c**5), Ne(c, 0)), (a**2*d**3*x**5/5, True))","A",0
175,1,654,0,52.754501," ","integrate(x**3*(-c**2*d*x**2+d)**3*(a+b*asin(c*x))**2,x)","\begin{cases} - \frac{a^{2} c^{6} d^{3} x^{10}}{10} + \frac{3 a^{2} c^{4} d^{3} x^{8}}{8} - \frac{a^{2} c^{2} d^{3} x^{6}}{2} + \frac{a^{2} d^{3} x^{4}}{4} - \frac{a b c^{6} d^{3} x^{10} \operatorname{asin}{\left(c x \right)}}{5} - \frac{a b c^{5} d^{3} x^{9} \sqrt{- c^{2} x^{2} + 1}}{50} + \frac{3 a b c^{4} d^{3} x^{8} \operatorname{asin}{\left(c x \right)}}{4} + \frac{57 a b c^{3} d^{3} x^{7} \sqrt{- c^{2} x^{2} + 1}}{800} - a b c^{2} d^{3} x^{6} \operatorname{asin}{\left(c x \right)} - \frac{401 a b c d^{3} x^{5} \sqrt{- c^{2} x^{2} + 1}}{4800} + \frac{a b d^{3} x^{4} \operatorname{asin}{\left(c x \right)}}{2} + \frac{79 a b d^{3} x^{3} \sqrt{- c^{2} x^{2} + 1}}{3840 c} + \frac{79 a b d^{3} x \sqrt{- c^{2} x^{2} + 1}}{2560 c^{3}} - \frac{79 a b d^{3} \operatorname{asin}{\left(c x \right)}}{2560 c^{4}} - \frac{b^{2} c^{6} d^{3} x^{10} \operatorname{asin}^{2}{\left(c x \right)}}{10} + \frac{b^{2} c^{6} d^{3} x^{10}}{500} - \frac{b^{2} c^{5} d^{3} x^{9} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{50} + \frac{3 b^{2} c^{4} d^{3} x^{8} \operatorname{asin}^{2}{\left(c x \right)}}{8} - \frac{57 b^{2} c^{4} d^{3} x^{8}}{6400} + \frac{57 b^{2} c^{3} d^{3} x^{7} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{800} - \frac{b^{2} c^{2} d^{3} x^{6} \operatorname{asin}^{2}{\left(c x \right)}}{2} + \frac{401 b^{2} c^{2} d^{3} x^{6}}{28800} - \frac{401 b^{2} c d^{3} x^{5} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{4800} + \frac{b^{2} d^{3} x^{4} \operatorname{asin}^{2}{\left(c x \right)}}{4} - \frac{79 b^{2} d^{3} x^{4}}{15360} + \frac{79 b^{2} d^{3} x^{3} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{3840 c} - \frac{79 b^{2} d^{3} x^{2}}{5120 c^{2}} + \frac{79 b^{2} d^{3} x \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{2560 c^{3}} - \frac{79 b^{2} d^{3} \operatorname{asin}^{2}{\left(c x \right)}}{5120 c^{4}} & \text{for}\: c \neq 0 \\\frac{a^{2} d^{3} x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c**6*d**3*x**10/10 + 3*a**2*c**4*d**3*x**8/8 - a**2*c**2*d**3*x**6/2 + a**2*d**3*x**4/4 - a*b*c**6*d**3*x**10*asin(c*x)/5 - a*b*c**5*d**3*x**9*sqrt(-c**2*x**2 + 1)/50 + 3*a*b*c**4*d**3*x**8*asin(c*x)/4 + 57*a*b*c**3*d**3*x**7*sqrt(-c**2*x**2 + 1)/800 - a*b*c**2*d**3*x**6*asin(c*x) - 401*a*b*c*d**3*x**5*sqrt(-c**2*x**2 + 1)/4800 + a*b*d**3*x**4*asin(c*x)/2 + 79*a*b*d**3*x**3*sqrt(-c**2*x**2 + 1)/(3840*c) + 79*a*b*d**3*x*sqrt(-c**2*x**2 + 1)/(2560*c**3) - 79*a*b*d**3*asin(c*x)/(2560*c**4) - b**2*c**6*d**3*x**10*asin(c*x)**2/10 + b**2*c**6*d**3*x**10/500 - b**2*c**5*d**3*x**9*sqrt(-c**2*x**2 + 1)*asin(c*x)/50 + 3*b**2*c**4*d**3*x**8*asin(c*x)**2/8 - 57*b**2*c**4*d**3*x**8/6400 + 57*b**2*c**3*d**3*x**7*sqrt(-c**2*x**2 + 1)*asin(c*x)/800 - b**2*c**2*d**3*x**6*asin(c*x)**2/2 + 401*b**2*c**2*d**3*x**6/28800 - 401*b**2*c*d**3*x**5*sqrt(-c**2*x**2 + 1)*asin(c*x)/4800 + b**2*d**3*x**4*asin(c*x)**2/4 - 79*b**2*d**3*x**4/15360 + 79*b**2*d**3*x**3*sqrt(-c**2*x**2 + 1)*asin(c*x)/(3840*c) - 79*b**2*d**3*x**2/(5120*c**2) + 79*b**2*d**3*x*sqrt(-c**2*x**2 + 1)*asin(c*x)/(2560*c**3) - 79*b**2*d**3*asin(c*x)**2/(5120*c**4), Ne(c, 0)), (a**2*d**3*x**4/4, True))","A",0
176,1,626,0,30.097757," ","integrate(x**2*(-c**2*d*x**2+d)**3*(a+b*asin(c*x))**2,x)","\begin{cases} - \frac{a^{2} c^{6} d^{3} x^{9}}{9} + \frac{3 a^{2} c^{4} d^{3} x^{7}}{7} - \frac{3 a^{2} c^{2} d^{3} x^{5}}{5} + \frac{a^{2} d^{3} x^{3}}{3} - \frac{2 a b c^{6} d^{3} x^{9} \operatorname{asin}{\left(c x \right)}}{9} - \frac{2 a b c^{5} d^{3} x^{8} \sqrt{- c^{2} x^{2} + 1}}{81} + \frac{6 a b c^{4} d^{3} x^{7} \operatorname{asin}{\left(c x \right)}}{7} + \frac{374 a b c^{3} d^{3} x^{6} \sqrt{- c^{2} x^{2} + 1}}{3969} - \frac{6 a b c^{2} d^{3} x^{5} \operatorname{asin}{\left(c x \right)}}{5} - \frac{4198 a b c d^{3} x^{4} \sqrt{- c^{2} x^{2} + 1}}{33075} + \frac{2 a b d^{3} x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{5258 a b d^{3} x^{2} \sqrt{- c^{2} x^{2} + 1}}{99225 c} + \frac{10516 a b d^{3} \sqrt{- c^{2} x^{2} + 1}}{99225 c^{3}} - \frac{b^{2} c^{6} d^{3} x^{9} \operatorname{asin}^{2}{\left(c x \right)}}{9} + \frac{2 b^{2} c^{6} d^{3} x^{9}}{729} - \frac{2 b^{2} c^{5} d^{3} x^{8} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{81} + \frac{3 b^{2} c^{4} d^{3} x^{7} \operatorname{asin}^{2}{\left(c x \right)}}{7} - \frac{374 b^{2} c^{4} d^{3} x^{7}}{27783} + \frac{374 b^{2} c^{3} d^{3} x^{6} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{3969} - \frac{3 b^{2} c^{2} d^{3} x^{5} \operatorname{asin}^{2}{\left(c x \right)}}{5} + \frac{4198 b^{2} c^{2} d^{3} x^{5}}{165375} - \frac{4198 b^{2} c d^{3} x^{4} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{33075} + \frac{b^{2} d^{3} x^{3} \operatorname{asin}^{2}{\left(c x \right)}}{3} - \frac{5258 b^{2} d^{3} x^{3}}{297675} + \frac{5258 b^{2} d^{3} x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{99225 c} - \frac{10516 b^{2} d^{3} x}{99225 c^{2}} + \frac{10516 b^{2} d^{3} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{99225 c^{3}} & \text{for}\: c \neq 0 \\\frac{a^{2} d^{3} x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c**6*d**3*x**9/9 + 3*a**2*c**4*d**3*x**7/7 - 3*a**2*c**2*d**3*x**5/5 + a**2*d**3*x**3/3 - 2*a*b*c**6*d**3*x**9*asin(c*x)/9 - 2*a*b*c**5*d**3*x**8*sqrt(-c**2*x**2 + 1)/81 + 6*a*b*c**4*d**3*x**7*asin(c*x)/7 + 374*a*b*c**3*d**3*x**6*sqrt(-c**2*x**2 + 1)/3969 - 6*a*b*c**2*d**3*x**5*asin(c*x)/5 - 4198*a*b*c*d**3*x**4*sqrt(-c**2*x**2 + 1)/33075 + 2*a*b*d**3*x**3*asin(c*x)/3 + 5258*a*b*d**3*x**2*sqrt(-c**2*x**2 + 1)/(99225*c) + 10516*a*b*d**3*sqrt(-c**2*x**2 + 1)/(99225*c**3) - b**2*c**6*d**3*x**9*asin(c*x)**2/9 + 2*b**2*c**6*d**3*x**9/729 - 2*b**2*c**5*d**3*x**8*sqrt(-c**2*x**2 + 1)*asin(c*x)/81 + 3*b**2*c**4*d**3*x**7*asin(c*x)**2/7 - 374*b**2*c**4*d**3*x**7/27783 + 374*b**2*c**3*d**3*x**6*sqrt(-c**2*x**2 + 1)*asin(c*x)/3969 - 3*b**2*c**2*d**3*x**5*asin(c*x)**2/5 + 4198*b**2*c**2*d**3*x**5/165375 - 4198*b**2*c*d**3*x**4*sqrt(-c**2*x**2 + 1)*asin(c*x)/33075 + b**2*d**3*x**3*asin(c*x)**2/3 - 5258*b**2*d**3*x**3/297675 + 5258*b**2*d**3*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(99225*c) - 10516*b**2*d**3*x/(99225*c**2) + 10516*b**2*d**3*sqrt(-c**2*x**2 + 1)*asin(c*x)/(99225*c**3), Ne(c, 0)), (a**2*d**3*x**3/3, True))","A",0
177,1,573,0,22.709062," ","integrate(x*(-c**2*d*x**2+d)**3*(a+b*asin(c*x))**2,x)","\begin{cases} - \frac{a^{2} c^{6} d^{3} x^{8}}{8} + \frac{a^{2} c^{4} d^{3} x^{6}}{2} - \frac{3 a^{2} c^{2} d^{3} x^{4}}{4} + \frac{a^{2} d^{3} x^{2}}{2} - \frac{a b c^{6} d^{3} x^{8} \operatorname{asin}{\left(c x \right)}}{4} - \frac{a b c^{5} d^{3} x^{7} \sqrt{- c^{2} x^{2} + 1}}{32} + a b c^{4} d^{3} x^{6} \operatorname{asin}{\left(c x \right)} + \frac{25 a b c^{3} d^{3} x^{5} \sqrt{- c^{2} x^{2} + 1}}{192} - \frac{3 a b c^{2} d^{3} x^{4} \operatorname{asin}{\left(c x \right)}}{2} - \frac{163 a b c d^{3} x^{3} \sqrt{- c^{2} x^{2} + 1}}{768} + a b d^{3} x^{2} \operatorname{asin}{\left(c x \right)} + \frac{93 a b d^{3} x \sqrt{- c^{2} x^{2} + 1}}{512 c} - \frac{93 a b d^{3} \operatorname{asin}{\left(c x \right)}}{512 c^{2}} - \frac{b^{2} c^{6} d^{3} x^{8} \operatorname{asin}^{2}{\left(c x \right)}}{8} + \frac{b^{2} c^{6} d^{3} x^{8}}{256} - \frac{b^{2} c^{5} d^{3} x^{7} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{32} + \frac{b^{2} c^{4} d^{3} x^{6} \operatorname{asin}^{2}{\left(c x \right)}}{2} - \frac{25 b^{2} c^{4} d^{3} x^{6}}{1152} + \frac{25 b^{2} c^{3} d^{3} x^{5} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{192} - \frac{3 b^{2} c^{2} d^{3} x^{4} \operatorname{asin}^{2}{\left(c x \right)}}{4} + \frac{163 b^{2} c^{2} d^{3} x^{4}}{3072} - \frac{163 b^{2} c d^{3} x^{3} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{768} + \frac{b^{2} d^{3} x^{2} \operatorname{asin}^{2}{\left(c x \right)}}{2} - \frac{93 b^{2} d^{3} x^{2}}{1024} + \frac{93 b^{2} d^{3} x \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{512 c} - \frac{93 b^{2} d^{3} \operatorname{asin}^{2}{\left(c x \right)}}{1024 c^{2}} & \text{for}\: c \neq 0 \\\frac{a^{2} d^{3} x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c**6*d**3*x**8/8 + a**2*c**4*d**3*x**6/2 - 3*a**2*c**2*d**3*x**4/4 + a**2*d**3*x**2/2 - a*b*c**6*d**3*x**8*asin(c*x)/4 - a*b*c**5*d**3*x**7*sqrt(-c**2*x**2 + 1)/32 + a*b*c**4*d**3*x**6*asin(c*x) + 25*a*b*c**3*d**3*x**5*sqrt(-c**2*x**2 + 1)/192 - 3*a*b*c**2*d**3*x**4*asin(c*x)/2 - 163*a*b*c*d**3*x**3*sqrt(-c**2*x**2 + 1)/768 + a*b*d**3*x**2*asin(c*x) + 93*a*b*d**3*x*sqrt(-c**2*x**2 + 1)/(512*c) - 93*a*b*d**3*asin(c*x)/(512*c**2) - b**2*c**6*d**3*x**8*asin(c*x)**2/8 + b**2*c**6*d**3*x**8/256 - b**2*c**5*d**3*x**7*sqrt(-c**2*x**2 + 1)*asin(c*x)/32 + b**2*c**4*d**3*x**6*asin(c*x)**2/2 - 25*b**2*c**4*d**3*x**6/1152 + 25*b**2*c**3*d**3*x**5*sqrt(-c**2*x**2 + 1)*asin(c*x)/192 - 3*b**2*c**2*d**3*x**4*asin(c*x)**2/4 + 163*b**2*c**2*d**3*x**4/3072 - 163*b**2*c*d**3*x**3*sqrt(-c**2*x**2 + 1)*asin(c*x)/768 + b**2*d**3*x**2*asin(c*x)**2/2 - 93*b**2*d**3*x**2/1024 + 93*b**2*d**3*x*sqrt(-c**2*x**2 + 1)*asin(c*x)/(512*c) - 93*b**2*d**3*asin(c*x)**2/(1024*c**2), Ne(c, 0)), (a**2*d**3*x**2/2, True))","A",0
178,1,524,0,12.517512," ","integrate((-c**2*d*x**2+d)**3*(a+b*asin(c*x))**2,x)","\begin{cases} - \frac{a^{2} c^{6} d^{3} x^{7}}{7} + \frac{3 a^{2} c^{4} d^{3} x^{5}}{5} - a^{2} c^{2} d^{3} x^{3} + a^{2} d^{3} x - \frac{2 a b c^{6} d^{3} x^{7} \operatorname{asin}{\left(c x \right)}}{7} - \frac{2 a b c^{5} d^{3} x^{6} \sqrt{- c^{2} x^{2} + 1}}{49} + \frac{6 a b c^{4} d^{3} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{234 a b c^{3} d^{3} x^{4} \sqrt{- c^{2} x^{2} + 1}}{1225} - 2 a b c^{2} d^{3} x^{3} \operatorname{asin}{\left(c x \right)} - \frac{1514 a b c d^{3} x^{2} \sqrt{- c^{2} x^{2} + 1}}{3675} + 2 a b d^{3} x \operatorname{asin}{\left(c x \right)} + \frac{4322 a b d^{3} \sqrt{- c^{2} x^{2} + 1}}{3675 c} - \frac{b^{2} c^{6} d^{3} x^{7} \operatorname{asin}^{2}{\left(c x \right)}}{7} + \frac{2 b^{2} c^{6} d^{3} x^{7}}{343} - \frac{2 b^{2} c^{5} d^{3} x^{6} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{49} + \frac{3 b^{2} c^{4} d^{3} x^{5} \operatorname{asin}^{2}{\left(c x \right)}}{5} - \frac{234 b^{2} c^{4} d^{3} x^{5}}{6125} + \frac{234 b^{2} c^{3} d^{3} x^{4} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{1225} - b^{2} c^{2} d^{3} x^{3} \operatorname{asin}^{2}{\left(c x \right)} + \frac{1514 b^{2} c^{2} d^{3} x^{3}}{11025} - \frac{1514 b^{2} c d^{3} x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{3675} + b^{2} d^{3} x \operatorname{asin}^{2}{\left(c x \right)} - \frac{4322 b^{2} d^{3} x}{3675} + \frac{4322 b^{2} d^{3} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{3675 c} & \text{for}\: c \neq 0 \\a^{2} d^{3} x & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c**6*d**3*x**7/7 + 3*a**2*c**4*d**3*x**5/5 - a**2*c**2*d**3*x**3 + a**2*d**3*x - 2*a*b*c**6*d**3*x**7*asin(c*x)/7 - 2*a*b*c**5*d**3*x**6*sqrt(-c**2*x**2 + 1)/49 + 6*a*b*c**4*d**3*x**5*asin(c*x)/5 + 234*a*b*c**3*d**3*x**4*sqrt(-c**2*x**2 + 1)/1225 - 2*a*b*c**2*d**3*x**3*asin(c*x) - 1514*a*b*c*d**3*x**2*sqrt(-c**2*x**2 + 1)/3675 + 2*a*b*d**3*x*asin(c*x) + 4322*a*b*d**3*sqrt(-c**2*x**2 + 1)/(3675*c) - b**2*c**6*d**3*x**7*asin(c*x)**2/7 + 2*b**2*c**6*d**3*x**7/343 - 2*b**2*c**5*d**3*x**6*sqrt(-c**2*x**2 + 1)*asin(c*x)/49 + 3*b**2*c**4*d**3*x**5*asin(c*x)**2/5 - 234*b**2*c**4*d**3*x**5/6125 + 234*b**2*c**3*d**3*x**4*sqrt(-c**2*x**2 + 1)*asin(c*x)/1225 - b**2*c**2*d**3*x**3*asin(c*x)**2 + 1514*b**2*c**2*d**3*x**3/11025 - 1514*b**2*c*d**3*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/3675 + b**2*d**3*x*asin(c*x)**2 - 4322*b**2*d**3*x/3675 + 4322*b**2*d**3*sqrt(-c**2*x**2 + 1)*asin(c*x)/(3675*c), Ne(c, 0)), (a**2*d**3*x, True))","A",0
179,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**3*(a+b*asin(c*x))**2/x,x)","- d^{3} \left(\int \left(- \frac{a^{2}}{x}\right)\, dx + \int 3 a^{2} c^{2} x\, dx + \int \left(- 3 a^{2} c^{4} x^{3}\right)\, dx + \int a^{2} c^{6} x^{5}\, dx + \int \left(- \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x}\right)\, dx + \int \left(- \frac{2 a b \operatorname{asin}{\left(c x \right)}}{x}\right)\, dx + \int 3 b^{2} c^{2} x \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int \left(- 3 b^{2} c^{4} x^{3} \operatorname{asin}^{2}{\left(c x \right)}\right)\, dx + \int b^{2} c^{6} x^{5} \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int 6 a b c^{2} x \operatorname{asin}{\left(c x \right)}\, dx + \int \left(- 6 a b c^{4} x^{3} \operatorname{asin}{\left(c x \right)}\right)\, dx + \int 2 a b c^{6} x^{5} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"-d**3*(Integral(-a**2/x, x) + Integral(3*a**2*c**2*x, x) + Integral(-3*a**2*c**4*x**3, x) + Integral(a**2*c**6*x**5, x) + Integral(-b**2*asin(c*x)**2/x, x) + Integral(-2*a*b*asin(c*x)/x, x) + Integral(3*b**2*c**2*x*asin(c*x)**2, x) + Integral(-3*b**2*c**4*x**3*asin(c*x)**2, x) + Integral(b**2*c**6*x**5*asin(c*x)**2, x) + Integral(6*a*b*c**2*x*asin(c*x), x) + Integral(-6*a*b*c**4*x**3*asin(c*x), x) + Integral(2*a*b*c**6*x**5*asin(c*x), x))","F",0
180,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**3*(a+b*asin(c*x))**2/x**2,x)","- d^{3} \left(\int 3 a^{2} c^{2}\, dx + \int \left(- \frac{a^{2}}{x^{2}}\right)\, dx + \int \left(- 3 a^{2} c^{4} x^{2}\right)\, dx + \int a^{2} c^{6} x^{4}\, dx + \int 3 b^{2} c^{2} \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int \left(- \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x^{2}}\right)\, dx + \int 6 a b c^{2} \operatorname{asin}{\left(c x \right)}\, dx + \int \left(- \frac{2 a b \operatorname{asin}{\left(c x \right)}}{x^{2}}\right)\, dx + \int \left(- 3 b^{2} c^{4} x^{2} \operatorname{asin}^{2}{\left(c x \right)}\right)\, dx + \int b^{2} c^{6} x^{4} \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int \left(- 6 a b c^{4} x^{2} \operatorname{asin}{\left(c x \right)}\right)\, dx + \int 2 a b c^{6} x^{4} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"-d**3*(Integral(3*a**2*c**2, x) + Integral(-a**2/x**2, x) + Integral(-3*a**2*c**4*x**2, x) + Integral(a**2*c**6*x**4, x) + Integral(3*b**2*c**2*asin(c*x)**2, x) + Integral(-b**2*asin(c*x)**2/x**2, x) + Integral(6*a*b*c**2*asin(c*x), x) + Integral(-2*a*b*asin(c*x)/x**2, x) + Integral(-3*b**2*c**4*x**2*asin(c*x)**2, x) + Integral(b**2*c**6*x**4*asin(c*x)**2, x) + Integral(-6*a*b*c**4*x**2*asin(c*x), x) + Integral(2*a*b*c**6*x**4*asin(c*x), x))","F",0
181,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**3*(a+b*asin(c*x))**2/x**3,x)","- d^{3} \left(\int \left(- \frac{a^{2}}{x^{3}}\right)\, dx + \int \frac{3 a^{2} c^{2}}{x}\, dx + \int \left(- 3 a^{2} c^{4} x\right)\, dx + \int a^{2} c^{6} x^{3}\, dx + \int \left(- \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x^{3}}\right)\, dx + \int \left(- \frac{2 a b \operatorname{asin}{\left(c x \right)}}{x^{3}}\right)\, dx + \int \frac{3 b^{2} c^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x}\, dx + \int \left(- 3 b^{2} c^{4} x \operatorname{asin}^{2}{\left(c x \right)}\right)\, dx + \int b^{2} c^{6} x^{3} \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int \frac{6 a b c^{2} \operatorname{asin}{\left(c x \right)}}{x}\, dx + \int \left(- 6 a b c^{4} x \operatorname{asin}{\left(c x \right)}\right)\, dx + \int 2 a b c^{6} x^{3} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"-d**3*(Integral(-a**2/x**3, x) + Integral(3*a**2*c**2/x, x) + Integral(-3*a**2*c**4*x, x) + Integral(a**2*c**6*x**3, x) + Integral(-b**2*asin(c*x)**2/x**3, x) + Integral(-2*a*b*asin(c*x)/x**3, x) + Integral(3*b**2*c**2*asin(c*x)**2/x, x) + Integral(-3*b**2*c**4*x*asin(c*x)**2, x) + Integral(b**2*c**6*x**3*asin(c*x)**2, x) + Integral(6*a*b*c**2*asin(c*x)/x, x) + Integral(-6*a*b*c**4*x*asin(c*x), x) + Integral(2*a*b*c**6*x**3*asin(c*x), x))","F",0
182,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**3*(a+b*asin(c*x))**2/x**4,x)","- d^{3} \left(\int \left(- 3 a^{2} c^{4}\right)\, dx + \int \left(- \frac{a^{2}}{x^{4}}\right)\, dx + \int \frac{3 a^{2} c^{2}}{x^{2}}\, dx + \int a^{2} c^{6} x^{2}\, dx + \int \left(- 3 b^{2} c^{4} \operatorname{asin}^{2}{\left(c x \right)}\right)\, dx + \int \left(- \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x^{4}}\right)\, dx + \int \left(- 6 a b c^{4} \operatorname{asin}{\left(c x \right)}\right)\, dx + \int \left(- \frac{2 a b \operatorname{asin}{\left(c x \right)}}{x^{4}}\right)\, dx + \int \frac{3 b^{2} c^{2} \operatorname{asin}^{2}{\left(c x \right)}}{x^{2}}\, dx + \int b^{2} c^{6} x^{2} \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int \frac{6 a b c^{2} \operatorname{asin}{\left(c x \right)}}{x^{2}}\, dx + \int 2 a b c^{6} x^{2} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"-d**3*(Integral(-3*a**2*c**4, x) + Integral(-a**2/x**4, x) + Integral(3*a**2*c**2/x**2, x) + Integral(a**2*c**6*x**2, x) + Integral(-3*b**2*c**4*asin(c*x)**2, x) + Integral(-b**2*asin(c*x)**2/x**4, x) + Integral(-6*a*b*c**4*asin(c*x), x) + Integral(-2*a*b*asin(c*x)/x**4, x) + Integral(3*b**2*c**2*asin(c*x)**2/x**2, x) + Integral(b**2*c**6*x**2*asin(c*x)**2, x) + Integral(6*a*b*c**2*asin(c*x)/x**2, x) + Integral(2*a*b*c**6*x**2*asin(c*x), x))","F",0
183,0,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))**2/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a^{2} x^{4}}{c^{2} x^{2} - 1}\, dx + \int \frac{b^{2} x^{4} \operatorname{asin}^{2}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx + \int \frac{2 a b x^{4} \operatorname{asin}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a**2*x**4/(c**2*x**2 - 1), x) + Integral(b**2*x**4*asin(c*x)**2/(c**2*x**2 - 1), x) + Integral(2*a*b*x**4*asin(c*x)/(c**2*x**2 - 1), x))/d","F",0
184,0,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))**2/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a^{2} x^{3}}{c^{2} x^{2} - 1}\, dx + \int \frac{b^{2} x^{3} \operatorname{asin}^{2}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx + \int \frac{2 a b x^{3} \operatorname{asin}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a**2*x**3/(c**2*x**2 - 1), x) + Integral(b**2*x**3*asin(c*x)**2/(c**2*x**2 - 1), x) + Integral(2*a*b*x**3*asin(c*x)/(c**2*x**2 - 1), x))/d","F",0
185,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))**2/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a^{2} x^{2}}{c^{2} x^{2} - 1}\, dx + \int \frac{b^{2} x^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx + \int \frac{2 a b x^{2} \operatorname{asin}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a**2*x**2/(c**2*x**2 - 1), x) + Integral(b**2*x**2*asin(c*x)**2/(c**2*x**2 - 1), x) + Integral(2*a*b*x**2*asin(c*x)/(c**2*x**2 - 1), x))/d","F",0
186,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))**2/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a^{2} x}{c^{2} x^{2} - 1}\, dx + \int \frac{b^{2} x \operatorname{asin}^{2}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx + \int \frac{2 a b x \operatorname{asin}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a**2*x/(c**2*x**2 - 1), x) + Integral(b**2*x*asin(c*x)**2/(c**2*x**2 - 1), x) + Integral(2*a*b*x*asin(c*x)/(c**2*x**2 - 1), x))/d","F",0
187,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a^{2}}{c^{2} x^{2} - 1}\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a**2/(c**2*x**2 - 1), x) + Integral(b**2*asin(c*x)**2/(c**2*x**2 - 1), x) + Integral(2*a*b*asin(c*x)/(c**2*x**2 - 1), x))/d","F",0
188,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a^{2}}{c^{2} x^{3} - x}\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{2} x^{3} - x}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{c^{2} x^{3} - x}\, dx}{d}"," ",0,"-(Integral(a**2/(c**2*x**3 - x), x) + Integral(b**2*asin(c*x)**2/(c**2*x**3 - x), x) + Integral(2*a*b*asin(c*x)/(c**2*x**3 - x), x))/d","F",0
189,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**2/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a^{2}}{c^{2} x^{4} - x^{2}}\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{2} x^{4} - x^{2}}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{c^{2} x^{4} - x^{2}}\, dx}{d}"," ",0,"-(Integral(a**2/(c**2*x**4 - x**2), x) + Integral(b**2*asin(c*x)**2/(c**2*x**4 - x**2), x) + Integral(2*a*b*asin(c*x)/(c**2*x**4 - x**2), x))/d","F",0
190,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**3/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a^{2}}{c^{2} x^{5} - x^{3}}\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{2} x^{5} - x^{3}}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{c^{2} x^{5} - x^{3}}\, dx}{d}"," ",0,"-(Integral(a**2/(c**2*x**5 - x**3), x) + Integral(b**2*asin(c*x)**2/(c**2*x**5 - x**3), x) + Integral(2*a*b*asin(c*x)/(c**2*x**5 - x**3), x))/d","F",0
191,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**4/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a^{2}}{c^{2} x^{6} - x^{4}}\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{2} x^{6} - x^{4}}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{c^{2} x^{6} - x^{4}}\, dx}{d}"," ",0,"-(Integral(a**2/(c**2*x**6 - x**4), x) + Integral(b**2*asin(c*x)**2/(c**2*x**6 - x**4), x) + Integral(2*a*b*asin(c*x)/(c**2*x**6 - x**4), x))/d","F",0
192,0,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a^{2} x^{4}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b^{2} x^{4} \operatorname{asin}^{2}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{2 a b x^{4} \operatorname{asin}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a**2*x**4/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b**2*x**4*asin(c*x)**2/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(2*a*b*x**4*asin(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
193,0,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a^{2} x^{3}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b^{2} x^{3} \operatorname{asin}^{2}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{2 a b x^{3} \operatorname{asin}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a**2*x**3/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b**2*x**3*asin(c*x)**2/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(2*a*b*x**3*asin(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
194,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a^{2} x^{2}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b^{2} x^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{2 a b x^{2} \operatorname{asin}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a**2*x**2/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b**2*x**2*asin(c*x)**2/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(2*a*b*x**2*asin(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
195,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a^{2} x}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b^{2} x \operatorname{asin}^{2}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{2 a b x \operatorname{asin}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a**2*x/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b**2*x*asin(c*x)**2/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(2*a*b*x*asin(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
196,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(-c**2*d*x**2+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
197,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a^{2}}{c^{4} x^{5} - 2 c^{2} x^{3} + x}\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{4} x^{5} - 2 c^{2} x^{3} + x}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{c^{4} x^{5} - 2 c^{2} x^{3} + x}\, dx}{d^{2}}"," ",0,"(Integral(a**2/(c**4*x**5 - 2*c**2*x**3 + x), x) + Integral(b**2*asin(c*x)**2/(c**4*x**5 - 2*c**2*x**3 + x), x) + Integral(2*a*b*asin(c*x)/(c**4*x**5 - 2*c**2*x**3 + x), x))/d**2","F",0
198,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**2/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a^{2}}{c^{4} x^{6} - 2 c^{2} x^{4} + x^{2}}\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{4} x^{6} - 2 c^{2} x^{4} + x^{2}}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{c^{4} x^{6} - 2 c^{2} x^{4} + x^{2}}\, dx}{d^{2}}"," ",0,"(Integral(a**2/(c**4*x**6 - 2*c**2*x**4 + x**2), x) + Integral(b**2*asin(c*x)**2/(c**4*x**6 - 2*c**2*x**4 + x**2), x) + Integral(2*a*b*asin(c*x)/(c**4*x**6 - 2*c**2*x**4 + x**2), x))/d**2","F",0
199,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**3/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a^{2}}{c^{4} x^{7} - 2 c^{2} x^{5} + x^{3}}\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{4} x^{7} - 2 c^{2} x^{5} + x^{3}}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{c^{4} x^{7} - 2 c^{2} x^{5} + x^{3}}\, dx}{d^{2}}"," ",0,"(Integral(a**2/(c**4*x**7 - 2*c**2*x**5 + x**3), x) + Integral(b**2*asin(c*x)**2/(c**4*x**7 - 2*c**2*x**5 + x**3), x) + Integral(2*a*b*asin(c*x)/(c**4*x**7 - 2*c**2*x**5 + x**3), x))/d**2","F",0
200,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**4/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a^{2}}{c^{4} x^{8} - 2 c^{2} x^{6} + x^{4}}\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{4} x^{8} - 2 c^{2} x^{6} + x^{4}}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{c^{4} x^{8} - 2 c^{2} x^{6} + x^{4}}\, dx}{d^{2}}"," ",0,"(Integral(a**2/(c**4*x**8 - 2*c**2*x**6 + x**4), x) + Integral(b**2*asin(c*x)**2/(c**4*x**8 - 2*c**2*x**6 + x**4), x) + Integral(2*a*b*asin(c*x)/(c**4*x**8 - 2*c**2*x**6 + x**4), x))/d**2","F",0
201,0,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a^{2} x^{4}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{b^{2} x^{4} \operatorname{asin}^{2}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{2 a b x^{4} \operatorname{asin}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx}{d^{3}}"," ",0,"-(Integral(a**2*x**4/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(b**2*x**4*asin(c*x)**2/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(2*a*b*x**4*asin(c*x)/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x))/d**3","F",0
202,0,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a^{2} x^{3}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{b^{2} x^{3} \operatorname{asin}^{2}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{2 a b x^{3} \operatorname{asin}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx}{d^{3}}"," ",0,"-(Integral(a**2*x**3/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(b**2*x**3*asin(c*x)**2/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(2*a*b*x**3*asin(c*x)/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x))/d**3","F",0
203,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a^{2} x^{2}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{b^{2} x^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{2 a b x^{2} \operatorname{asin}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx}{d^{3}}"," ",0,"-(Integral(a**2*x**2/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(b**2*x**2*asin(c*x)**2/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(2*a*b*x**2*asin(c*x)/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x))/d**3","F",0
204,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a^{2} x}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{b^{2} x \operatorname{asin}^{2}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{2 a b x \operatorname{asin}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx}{d^{3}}"," ",0,"-(Integral(a**2*x/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(b**2*x*asin(c*x)**2/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(2*a*b*x*asin(c*x)/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x))/d**3","F",0
205,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(-c**2*d*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
206,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x/(-c**2*d*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
207,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**2/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a^{2}}{c^{6} x^{8} - 3 c^{4} x^{6} + 3 c^{2} x^{4} - x^{2}}\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{6} x^{8} - 3 c^{4} x^{6} + 3 c^{2} x^{4} - x^{2}}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{c^{6} x^{8} - 3 c^{4} x^{6} + 3 c^{2} x^{4} - x^{2}}\, dx}{d^{3}}"," ",0,"-(Integral(a**2/(c**6*x**8 - 3*c**4*x**6 + 3*c**2*x**4 - x**2), x) + Integral(b**2*asin(c*x)**2/(c**6*x**8 - 3*c**4*x**6 + 3*c**2*x**4 - x**2), x) + Integral(2*a*b*asin(c*x)/(c**6*x**8 - 3*c**4*x**6 + 3*c**2*x**4 - x**2), x))/d**3","F",0
208,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**3/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a^{2}}{c^{6} x^{9} - 3 c^{4} x^{7} + 3 c^{2} x^{5} - x^{3}}\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{6} x^{9} - 3 c^{4} x^{7} + 3 c^{2} x^{5} - x^{3}}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{c^{6} x^{9} - 3 c^{4} x^{7} + 3 c^{2} x^{5} - x^{3}}\, dx}{d^{3}}"," ",0,"-(Integral(a**2/(c**6*x**9 - 3*c**4*x**7 + 3*c**2*x**5 - x**3), x) + Integral(b**2*asin(c*x)**2/(c**6*x**9 - 3*c**4*x**7 + 3*c**2*x**5 - x**3), x) + Integral(2*a*b*asin(c*x)/(c**6*x**9 - 3*c**4*x**7 + 3*c**2*x**5 - x**3), x))/d**3","F",0
209,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**4/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a^{2}}{c^{6} x^{10} - 3 c^{4} x^{8} + 3 c^{2} x^{6} - x^{4}}\, dx + \int \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{c^{6} x^{10} - 3 c^{4} x^{8} + 3 c^{2} x^{6} - x^{4}}\, dx + \int \frac{2 a b \operatorname{asin}{\left(c x \right)}}{c^{6} x^{10} - 3 c^{4} x^{8} + 3 c^{2} x^{6} - x^{4}}\, dx}{d^{3}}"," ",0,"-(Integral(a**2/(c**6*x**10 - 3*c**4*x**8 + 3*c**2*x**6 - x**4), x) + Integral(b**2*asin(c*x)**2/(c**6*x**10 - 3*c**4*x**8 + 3*c**2*x**6 - x**4), x) + Integral(2*a*b*asin(c*x)/(c**6*x**10 - 3*c**4*x**8 + 3*c**2*x**6 - x**4), x))/d**3","F",0
210,0,0,0,0.000000," ","integrate(x**3*(-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))**2,x)","\int x^{3} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x**3*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2, x)","F",0
211,0,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))**2,x)","\int x^{2} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x**2*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2, x)","F",0
212,0,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))**2,x)","\int x \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2, x)","F",0
213,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))**2,x)","\int \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2, x)","F",0
214,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))**2/x,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2/x, x)","F",0
215,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))**2/x**2,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2/x**2, x)","F",0
216,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))**2/x**3,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{3}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2/x**3, x)","F",0
217,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))**2/x**4,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{4}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2/x**4, x)","F",0
218,0,0,0,0.000000," ","integrate(x**3*(-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))**2,x)","\int x^{3} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x**3*(-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2, x)","F",0
219,0,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))**2,x)","\int x^{2} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x**2*(-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2, x)","F",0
220,0,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))**2,x)","\int x \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x*(-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2, x)","F",0
221,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))**2,x)","\int \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2, x)","F",0
222,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))**2/x,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2/x, x)","F",0
223,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))**2/x**2,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2/x**2, x)","F",0
224,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))**2/x**3,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{3}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2/x**3, x)","F",0
225,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))**2/x**4,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{4}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2/x**4, x)","F",0
226,-1,0,0,0.000000," ","integrate(x**3*(-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
227,-1,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
228,-1,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
229,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))**2,x)","\int \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))**2, x)","F",0
230,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))**2/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
231,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))**2/x**2,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))**2/x**2, x)","F",0
232,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))**2/x**3,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{3}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))**2/x**3, x)","F",0
233,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))**2/x**4,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{4}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))**2/x**4, x)","F",0
234,0,0,0,0.000000," ","integrate(x**5*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{5} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**5*(a + b*asin(c*x))**2/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
235,0,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{4} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**4*(a + b*asin(c*x))**2/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
236,0,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{3} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**3*(a + b*asin(c*x))**2/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
237,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**2*(a + b*asin(c*x))**2/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
238,-2,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
239,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
240,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(x*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
241,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{2} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(x**2*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
242,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**3/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{3} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(x**3*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
243,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**4/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{4} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(x**4*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
244,0,0,0,0.000000," ","integrate(x**5*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{5} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**5*(a + b*asin(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
245,0,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{4} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**4*(a + b*asin(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
246,-2,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(3/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
247,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2*(a + b*asin(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
248,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x*(a + b*asin(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
249,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
250,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(x*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
251,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{2} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(x**2*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
252,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**3/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{3} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(x**3*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
253,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**4/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{4} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(x**4*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
254,0,0,0,0.000000," ","integrate(x**5*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{5} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**5*(a + b*asin(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
255,0,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{4} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**4*(a + b*asin(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
256,-2,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(5/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
257,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**2*(a + b*asin(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
258,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x*(a + b*asin(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
259,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
260,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x/(-c**2*d*x**2+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
261,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{2} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(x**2*(-d*(c*x - 1)*(c*x + 1))**(5/2)), x)","F",0
262,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**3/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{3} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(x**3*(-d*(c*x - 1)*(c*x + 1))**(5/2)), x)","F",0
263,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**4/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{4} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(x**4*(-d*(c*x - 1)*(c*x + 1))**(5/2)), x)","F",0
264,1,146,0,3.503916," ","integrate(x**4*asin(a*x)**2/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{x^{4} \operatorname{asin}{\left(a x \right)}}{8 a} - \frac{x^{3} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{4 a^{2}} + \frac{x^{3} \sqrt{- a^{2} x^{2} + 1}}{32 a^{2}} + \frac{3 x^{2} \operatorname{asin}{\left(a x \right)}}{8 a^{3}} - \frac{3 x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{8 a^{4}} + \frac{15 x \sqrt{- a^{2} x^{2} + 1}}{64 a^{4}} + \frac{\operatorname{asin}^{3}{\left(a x \right)}}{8 a^{5}} - \frac{15 \operatorname{asin}{\left(a x \right)}}{64 a^{5}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*asin(a*x)/(8*a) - x**3*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(4*a**2) + x**3*sqrt(-a**2*x**2 + 1)/(32*a**2) + 3*x**2*asin(a*x)/(8*a**3) - 3*x*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(8*a**4) + 15*x*sqrt(-a**2*x**2 + 1)/(64*a**4) + asin(a*x)**3/(8*a**5) - 15*asin(a*x)/(64*a**5), Ne(a, 0)), (0, True))","A",0
265,1,121,0,2.039356," ","integrate(x**3*asin(a*x)**2/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{2 x^{3} \operatorname{asin}{\left(a x \right)}}{9 a} - \frac{x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{3 a^{2}} + \frac{2 x^{2} \sqrt{- a^{2} x^{2} + 1}}{27 a^{2}} + \frac{4 x \operatorname{asin}{\left(a x \right)}}{3 a^{3}} - \frac{2 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{3 a^{4}} + \frac{40 \sqrt{- a^{2} x^{2} + 1}}{27 a^{4}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*x**3*asin(a*x)/(9*a) - x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(3*a**2) + 2*x**2*sqrt(-a**2*x**2 + 1)/(27*a**2) + 4*x*asin(a*x)/(3*a**3) - 2*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(3*a**4) + 40*sqrt(-a**2*x**2 + 1)/(27*a**4), Ne(a, 0)), (0, True))","A",0
266,1,78,0,1.166254," ","integrate(x**2*asin(a*x)**2/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{x^{2} \operatorname{asin}{\left(a x \right)}}{2 a} - \frac{x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{2 a^{2}} + \frac{x \sqrt{- a^{2} x^{2} + 1}}{4 a^{2}} + \frac{\operatorname{asin}^{3}{\left(a x \right)}}{6 a^{3}} - \frac{\operatorname{asin}{\left(a x \right)}}{4 a^{3}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*asin(a*x)/(2*a) - x*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(2*a**2) + x*sqrt(-a**2*x**2 + 1)/(4*a**2) + asin(a*x)**3/(6*a**3) - asin(a*x)/(4*a**3), Ne(a, 0)), (0, True))","A",0
267,1,49,0,0.664148," ","integrate(x*asin(a*x)**2/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{2 x \operatorname{asin}{\left(a x \right)}}{a} - \frac{\sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{a^{2}} + \frac{2 \sqrt{- a^{2} x^{2} + 1}}{a^{2}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*x*asin(a*x)/a - sqrt(-a**2*x**2 + 1)*asin(a*x)**2/a**2 + 2*sqrt(-a**2*x**2 + 1)/a**2, Ne(a, 0)), (0, True))","A",0
268,1,10,0,0.378927," ","integrate(asin(a*x)**2/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{\operatorname{asin}^{3}{\left(a x \right)}}{3 a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((asin(a*x)**3/(3*a), Ne(a, 0)), (0, True))","A",0
269,0,0,0,0.000000," ","integrate(asin(a*x)**2/x/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{asin}^{2}{\left(a x \right)}}{x \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(asin(a*x)**2/(x*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
270,0,0,0,0.000000," ","integrate(asin(a*x)**2/x**2/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{asin}^{2}{\left(a x \right)}}{x^{2} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(asin(a*x)**2/(x**2*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
271,0,0,0,0.000000," ","integrate(asin(a*x)**2/x**3/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{asin}^{2}{\left(a x \right)}}{x^{3} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(asin(a*x)**2/(x**3*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
272,0,0,0,0.000000," ","integrate(asin(a*x)**2/(-a**2*c*x**2+c)**(1/2),x)","\int \frac{\operatorname{asin}^{2}{\left(a x \right)}}{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(asin(a*x)**2/sqrt(-c*(a*x - 1)*(a*x + 1)), x)","F",0
273,0,0,0,0.000000," ","integrate(asin(a*x)**2/(-a**2*c*x**2+c)**(3/2),x)","\int \frac{\operatorname{asin}^{2}{\left(a x \right)}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(asin(a*x)**2/(-c*(a*x - 1)*(a*x + 1))**(3/2), x)","F",0
274,0,0,0,0.000000," ","integrate(asin(a*x)**2/(-a**2*c*x**2+c)**(5/2),x)","\int \frac{\operatorname{asin}^{2}{\left(a x \right)}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(asin(a*x)**2/(-c*(a*x - 1)*(a*x + 1))**(5/2), x)","F",0
275,0,0,0,0.000000," ","integrate(asin(a*x)**2/(-a**2*c*x**2+c)**(7/2),x)","\int \frac{\operatorname{asin}^{2}{\left(a x \right)}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(asin(a*x)**2/(-c*(a*x - 1)*(a*x + 1))**(7/2), x)","F",0
276,-1,0,0,0.000000," ","integrate(x**m*(-c**2*d*x**2+d)**3*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
277,0,0,0,0.000000," ","integrate(x**m*(-c**2*d*x**2+d)**2*(a+b*asin(c*x))**2,x)","d^{2} \left(\int a^{2} x^{m}\, dx + \int b^{2} x^{m} \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int 2 a b x^{m} \operatorname{asin}{\left(c x \right)}\, dx + \int \left(- 2 a^{2} c^{2} x^{2} x^{m}\right)\, dx + \int a^{2} c^{4} x^{4} x^{m}\, dx + \int \left(- 2 b^{2} c^{2} x^{2} x^{m} \operatorname{asin}^{2}{\left(c x \right)}\right)\, dx + \int b^{2} c^{4} x^{4} x^{m} \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int \left(- 4 a b c^{2} x^{2} x^{m} \operatorname{asin}{\left(c x \right)}\right)\, dx + \int 2 a b c^{4} x^{4} x^{m} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"d**2*(Integral(a**2*x**m, x) + Integral(b**2*x**m*asin(c*x)**2, x) + Integral(2*a*b*x**m*asin(c*x), x) + Integral(-2*a**2*c**2*x**2*x**m, x) + Integral(a**2*c**4*x**4*x**m, x) + Integral(-2*b**2*c**2*x**2*x**m*asin(c*x)**2, x) + Integral(b**2*c**4*x**4*x**m*asin(c*x)**2, x) + Integral(-4*a*b*c**2*x**2*x**m*asin(c*x), x) + Integral(2*a*b*c**4*x**4*x**m*asin(c*x), x))","F",0
278,0,0,0,0.000000," ","integrate(x**m*(-c**2*d*x**2+d)*(a+b*asin(c*x))**2,x)","- d \left(\int \left(- a^{2} x^{m}\right)\, dx + \int \left(- b^{2} x^{m} \operatorname{asin}^{2}{\left(c x \right)}\right)\, dx + \int \left(- 2 a b x^{m} \operatorname{asin}{\left(c x \right)}\right)\, dx + \int a^{2} c^{2} x^{2} x^{m}\, dx + \int b^{2} c^{2} x^{2} x^{m} \operatorname{asin}^{2}{\left(c x \right)}\, dx + \int 2 a b c^{2} x^{2} x^{m} \operatorname{asin}{\left(c x \right)}\, dx\right)"," ",0,"-d*(Integral(-a**2*x**m, x) + Integral(-b**2*x**m*asin(c*x)**2, x) + Integral(-2*a*b*x**m*asin(c*x), x) + Integral(a**2*c**2*x**2*x**m, x) + Integral(b**2*c**2*x**2*x**m*asin(c*x)**2, x) + Integral(2*a*b*c**2*x**2*x**m*asin(c*x), x))","F",0
279,0,0,0,0.000000," ","integrate(x**m*(a+b*asin(c*x))**2/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a^{2} x^{m}}{c^{2} x^{2} - 1}\, dx + \int \frac{b^{2} x^{m} \operatorname{asin}^{2}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx + \int \frac{2 a b x^{m} \operatorname{asin}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a**2*x**m/(c**2*x**2 - 1), x) + Integral(b**2*x**m*asin(c*x)**2/(c**2*x**2 - 1), x) + Integral(2*a*b*x**m*asin(c*x)/(c**2*x**2 - 1), x))/d","F",0
280,0,0,0,0.000000," ","integrate(x**m*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a^{2} x^{m}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b^{2} x^{m} \operatorname{asin}^{2}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{2 a b x^{m} \operatorname{asin}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a**2*x**m/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b**2*x**m*asin(c*x)**2/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(2*a*b*x**m*asin(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
281,-1,0,0,0.000000," ","integrate(x**m*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
282,-1,0,0,0.000000," ","integrate(x**m*(-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
283,-1,0,0,0.000000," ","integrate(x**m*(-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
284,0,0,0,0.000000," ","integrate(x**m*(-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))**2,x)","\int x^{m} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x**m*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2, x)","F",0
285,0,0,0,0.000000," ","integrate(x**m*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{m} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**m*(a + b*asin(c*x))**2/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
286,0,0,0,0.000000," ","integrate(x**m*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{m} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**m*(a + b*asin(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
287,-1,0,0,0.000000," ","integrate(x**m*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
288,0,0,0,0.000000," ","integrate(x**m*asin(a*x)**2/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{m} \operatorname{asin}^{2}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**m*asin(a*x)**2/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
289,1,355,0,17.112120," ","integrate((-a**2*c*x**2+c)**3*asin(a*x)**3,x)","\begin{cases} - \frac{a^{6} c^{3} x^{7} \operatorname{asin}^{3}{\left(a x \right)}}{7} + \frac{6 a^{6} c^{3} x^{7} \operatorname{asin}{\left(a x \right)}}{343} - \frac{3 a^{5} c^{3} x^{6} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{49} + \frac{6 a^{5} c^{3} x^{6} \sqrt{- a^{2} x^{2} + 1}}{2401} + \frac{3 a^{4} c^{3} x^{5} \operatorname{asin}^{3}{\left(a x \right)}}{5} - \frac{702 a^{4} c^{3} x^{5} \operatorname{asin}{\left(a x \right)}}{6125} + \frac{351 a^{3} c^{3} x^{4} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{1225} - \frac{29898 a^{3} c^{3} x^{4} \sqrt{- a^{2} x^{2} + 1}}{1500625} - a^{2} c^{3} x^{3} \operatorname{asin}^{3}{\left(a x \right)} + \frac{1514 a^{2} c^{3} x^{3} \operatorname{asin}{\left(a x \right)}}{3675} - \frac{757 a c^{3} x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{1225} + \frac{1495874 a c^{3} x^{2} \sqrt{- a^{2} x^{2} + 1}}{13505625} + c^{3} x \operatorname{asin}^{3}{\left(a x \right)} - \frac{4322 c^{3} x \operatorname{asin}{\left(a x \right)}}{1225} + \frac{2161 c^{3} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{1225 a} - \frac{44658302 c^{3} \sqrt{- a^{2} x^{2} + 1}}{13505625 a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**6*c**3*x**7*asin(a*x)**3/7 + 6*a**6*c**3*x**7*asin(a*x)/343 - 3*a**5*c**3*x**6*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/49 + 6*a**5*c**3*x**6*sqrt(-a**2*x**2 + 1)/2401 + 3*a**4*c**3*x**5*asin(a*x)**3/5 - 702*a**4*c**3*x**5*asin(a*x)/6125 + 351*a**3*c**3*x**4*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/1225 - 29898*a**3*c**3*x**4*sqrt(-a**2*x**2 + 1)/1500625 - a**2*c**3*x**3*asin(a*x)**3 + 1514*a**2*c**3*x**3*asin(a*x)/3675 - 757*a*c**3*x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/1225 + 1495874*a*c**3*x**2*sqrt(-a**2*x**2 + 1)/13505625 + c**3*x*asin(a*x)**3 - 4322*c**3*x*asin(a*x)/1225 + 2161*c**3*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(1225*a) - 44658302*c**3*sqrt(-a**2*x**2 + 1)/(13505625*a), Ne(a, 0)), (0, True))","A",0
290,1,262,0,6.254807," ","integrate((-a**2*c*x**2+c)**2*asin(a*x)**3,x)","\begin{cases} \frac{a^{4} c^{2} x^{5} \operatorname{asin}^{3}{\left(a x \right)}}{5} - \frac{6 a^{4} c^{2} x^{5} \operatorname{asin}{\left(a x \right)}}{125} + \frac{3 a^{3} c^{2} x^{4} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{25} - \frac{6 a^{3} c^{2} x^{4} \sqrt{- a^{2} x^{2} + 1}}{625} - \frac{2 a^{2} c^{2} x^{3} \operatorname{asin}^{3}{\left(a x \right)}}{3} + \frac{76 a^{2} c^{2} x^{3} \operatorname{asin}{\left(a x \right)}}{225} - \frac{38 a c^{2} x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{75} + \frac{1684 a c^{2} x^{2} \sqrt{- a^{2} x^{2} + 1}}{16875} + c^{2} x \operatorname{asin}^{3}{\left(a x \right)} - \frac{298 c^{2} x \operatorname{asin}{\left(a x \right)}}{75} + \frac{149 c^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{75 a} - \frac{63682 c^{2} \sqrt{- a^{2} x^{2} + 1}}{16875 a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**4*c**2*x**5*asin(a*x)**3/5 - 6*a**4*c**2*x**5*asin(a*x)/125 + 3*a**3*c**2*x**4*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/25 - 6*a**3*c**2*x**4*sqrt(-a**2*x**2 + 1)/625 - 2*a**2*c**2*x**3*asin(a*x)**3/3 + 76*a**2*c**2*x**3*asin(a*x)/225 - 38*a*c**2*x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/75 + 1684*a*c**2*x**2*sqrt(-a**2*x**2 + 1)/16875 + c**2*x*asin(a*x)**3 - 298*c**2*x*asin(a*x)/75 + 149*c**2*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(75*a) - 63682*c**2*sqrt(-a**2*x**2 + 1)/(16875*a), Ne(a, 0)), (0, True))","A",0
291,1,150,0,1.931917," ","integrate((-a**2*c*x**2+c)*asin(a*x)**3,x)","\begin{cases} - \frac{a^{2} c x^{3} \operatorname{asin}^{3}{\left(a x \right)}}{3} + \frac{2 a^{2} c x^{3} \operatorname{asin}{\left(a x \right)}}{9} - \frac{a c x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{3} + \frac{2 a c x^{2} \sqrt{- a^{2} x^{2} + 1}}{27} + c x \operatorname{asin}^{3}{\left(a x \right)} - \frac{14 c x \operatorname{asin}{\left(a x \right)}}{3} + \frac{7 c \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{3 a} - \frac{122 c \sqrt{- a^{2} x^{2} + 1}}{27 a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c*x**3*asin(a*x)**3/3 + 2*a**2*c*x**3*asin(a*x)/9 - a*c*x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/3 + 2*a*c*x**2*sqrt(-a**2*x**2 + 1)/27 + c*x*asin(a*x)**3 - 14*c*x*asin(a*x)/3 + 7*c*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(3*a) - 122*c*sqrt(-a**2*x**2 + 1)/(27*a), Ne(a, 0)), (0, True))","A",0
292,0,0,0,0.000000," ","integrate(asin(a*x)**3/(-a**2*c*x**2+c),x)","- \frac{\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{a^{2} x^{2} - 1}\, dx}{c}"," ",0,"-Integral(asin(a*x)**3/(a**2*x**2 - 1), x)/c","F",0
293,0,0,0,0.000000," ","integrate(asin(a*x)**3/(-a**2*c*x**2+c)**2,x)","\frac{\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{a^{4} x^{4} - 2 a^{2} x^{2} + 1}\, dx}{c^{2}}"," ",0,"Integral(asin(a*x)**3/(a**4*x**4 - 2*a**2*x**2 + 1), x)/c**2","F",0
294,0,0,0,0.000000," ","integrate(asin(a*x)**3/(-a**2*c*x**2+c)**3,x)","- \frac{\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{a^{6} x^{6} - 3 a^{4} x^{4} + 3 a^{2} x^{2} - 1}\, dx}{c^{3}}"," ",0,"-Integral(asin(a*x)**3/(a**6*x**6 - 3*a**4*x**4 + 3*a**2*x**2 - 1), x)/c**3","F",0
295,-1,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(5/2)*asin(a*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
296,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(3/2)*asin(a*x)**3,x)","\int \left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}} \operatorname{asin}^{3}{\left(a x \right)}\, dx"," ",0,"Integral((-c*(a*x - 1)*(a*x + 1))**(3/2)*asin(a*x)**3, x)","F",0
297,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(1/2)*asin(a*x)**3,x)","\int \sqrt{- c \left(a x - 1\right) \left(a x + 1\right)} \operatorname{asin}^{3}{\left(a x \right)}\, dx"," ",0,"Integral(sqrt(-c*(a*x - 1)*(a*x + 1))*asin(a*x)**3, x)","F",0
298,0,0,0,0.000000," ","integrate(asin(a*x)**3/(-a**2*c*x**2+c)**(1/2),x)","\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(asin(a*x)**3/sqrt(-c*(a*x - 1)*(a*x + 1)), x)","F",0
299,0,0,0,0.000000," ","integrate(asin(a*x)**3/(-a**2*c*x**2+c)**(3/2),x)","\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(asin(a*x)**3/(-c*(a*x - 1)*(a*x + 1))**(3/2), x)","F",0
300,0,0,0,0.000000," ","integrate(asin(a*x)**3/(-a**2*c*x**2+c)**(5/2),x)","\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(asin(a*x)**3/(-c*(a*x - 1)*(a*x + 1))**(5/2), x)","F",0
301,0,0,0,0.000000," ","integrate(asin(a*x)**3/(-a**2*c*x**2+c)**(7/2),x)","\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(asin(a*x)**3/(-c*(a*x - 1)*(a*x + 1))**(7/2), x)","F",0
302,0,0,0,0.000000," ","integrate(x**m*asin(a*x)**3/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{m} \operatorname{asin}^{3}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**m*asin(a*x)**3/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
303,1,185,0,5.934236," ","integrate(x**4*asin(a*x)**3/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{3 x^{4} \operatorname{asin}^{2}{\left(a x \right)}}{16 a} - \frac{3 x^{4}}{128 a} - \frac{x^{3} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{4 a^{2}} + \frac{3 x^{3} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{32 a^{2}} + \frac{9 x^{2} \operatorname{asin}^{2}{\left(a x \right)}}{16 a^{3}} - \frac{45 x^{2}}{128 a^{3}} - \frac{3 x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{8 a^{4}} + \frac{45 x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{64 a^{4}} + \frac{3 \operatorname{asin}^{4}{\left(a x \right)}}{32 a^{5}} - \frac{45 \operatorname{asin}^{2}{\left(a x \right)}}{128 a^{5}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*x**4*asin(a*x)**2/(16*a) - 3*x**4/(128*a) - x**3*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(4*a**2) + 3*x**3*sqrt(-a**2*x**2 + 1)*asin(a*x)/(32*a**2) + 9*x**2*asin(a*x)**2/(16*a**3) - 45*x**2/(128*a**3) - 3*x*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(8*a**4) + 45*x*sqrt(-a**2*x**2 + 1)*asin(a*x)/(64*a**4) + 3*asin(a*x)**4/(32*a**5) - 45*asin(a*x)**2/(128*a**5), Ne(a, 0)), (0, True))","A",0
304,1,148,0,3.259374," ","integrate(x**3*asin(a*x)**3/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{x^{3} \operatorname{asin}^{2}{\left(a x \right)}}{3 a} - \frac{2 x^{3}}{27 a} - \frac{x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{3 a^{2}} + \frac{2 x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{9 a^{2}} + \frac{2 x \operatorname{asin}^{2}{\left(a x \right)}}{a^{3}} - \frac{40 x}{9 a^{3}} - \frac{2 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{3 a^{4}} + \frac{40 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{9 a^{4}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*asin(a*x)**2/(3*a) - 2*x**3/(27*a) - x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(3*a**2) + 2*x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)/(9*a**2) + 2*x*asin(a*x)**2/a**3 - 40*x/(9*a**3) - 2*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(3*a**4) + 40*sqrt(-a**2*x**2 + 1)*asin(a*x)/(9*a**4), Ne(a, 0)), (0, True))","A",0
305,1,100,0,2.040395," ","integrate(x**2*asin(a*x)**3/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{3 x^{2} \operatorname{asin}^{2}{\left(a x \right)}}{4 a} - \frac{3 x^{2}}{8 a} - \frac{x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{2 a^{2}} + \frac{3 x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{4 a^{2}} + \frac{\operatorname{asin}^{4}{\left(a x \right)}}{8 a^{3}} - \frac{3 \operatorname{asin}^{2}{\left(a x \right)}}{8 a^{3}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*x**2*asin(a*x)**2/(4*a) - 3*x**2/(8*a) - x*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(2*a**2) + 3*x*sqrt(-a**2*x**2 + 1)*asin(a*x)/(4*a**2) + asin(a*x)**4/(8*a**3) - 3*asin(a*x)**2/(8*a**3), Ne(a, 0)), (0, True))","A",0
306,1,61,0,1.101839," ","integrate(x*asin(a*x)**3/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{3 x \operatorname{asin}^{2}{\left(a x \right)}}{a} - \frac{6 x}{a} - \frac{\sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{a^{2}} + \frac{6 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{a^{2}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*x*asin(a*x)**2/a - 6*x/a - sqrt(-a**2*x**2 + 1)*asin(a*x)**3/a**2 + 6*sqrt(-a**2*x**2 + 1)*asin(a*x)/a**2, Ne(a, 0)), (0, True))","A",0
307,1,10,0,0.625320," ","integrate(asin(a*x)**3/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \frac{\operatorname{asin}^{4}{\left(a x \right)}}{4 a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((asin(a*x)**4/(4*a), Ne(a, 0)), (0, True))","A",0
308,0,0,0,0.000000," ","integrate(asin(a*x)**3/x/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{x \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(asin(a*x)**3/(x*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
309,0,0,0,0.000000," ","integrate(asin(a*x)**3/x**2/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{x^{2} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(asin(a*x)**3/(x**2*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
310,0,0,0,0.000000," ","integrate(asin(a*x)**3/x**3/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{x^{3} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(asin(a*x)**3/(x**3*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
311,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**3/asin(a*x),x)","- c^{3} \left(\int \frac{3 a^{2} x^{2}}{\operatorname{asin}{\left(a x \right)}}\, dx + \int \left(- \frac{3 a^{4} x^{4}}{\operatorname{asin}{\left(a x \right)}}\right)\, dx + \int \frac{a^{6} x^{6}}{\operatorname{asin}{\left(a x \right)}}\, dx + \int \left(- \frac{1}{\operatorname{asin}{\left(a x \right)}}\right)\, dx\right)"," ",0,"-c**3*(Integral(3*a**2*x**2/asin(a*x), x) + Integral(-3*a**4*x**4/asin(a*x), x) + Integral(a**6*x**6/asin(a*x), x) + Integral(-1/asin(a*x), x))","F",0
312,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**2/asin(a*x),x)","c^{2} \left(\int \left(- \frac{2 a^{2} x^{2}}{\operatorname{asin}{\left(a x \right)}}\right)\, dx + \int \frac{a^{4} x^{4}}{\operatorname{asin}{\left(a x \right)}}\, dx + \int \frac{1}{\operatorname{asin}{\left(a x \right)}}\, dx\right)"," ",0,"c**2*(Integral(-2*a**2*x**2/asin(a*x), x) + Integral(a**4*x**4/asin(a*x), x) + Integral(1/asin(a*x), x))","F",0
313,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)/asin(a*x),x)","- c \left(\int \frac{a^{2} x^{2}}{\operatorname{asin}{\left(a x \right)}}\, dx + \int \left(- \frac{1}{\operatorname{asin}{\left(a x \right)}}\right)\, dx\right)"," ",0,"-c*(Integral(a**2*x**2/asin(a*x), x) + Integral(-1/asin(a*x), x))","F",0
314,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)/asin(a*x),x)","- \frac{\int \frac{1}{a^{2} x^{2} \operatorname{asin}{\left(a x \right)} - \operatorname{asin}{\left(a x \right)}}\, dx}{c}"," ",0,"-Integral(1/(a**2*x**2*asin(a*x) - asin(a*x)), x)/c","F",0
315,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**2/asin(a*x),x)","\frac{\int \frac{1}{a^{4} x^{4} \operatorname{asin}{\left(a x \right)} - 2 a^{2} x^{2} \operatorname{asin}{\left(a x \right)} + \operatorname{asin}{\left(a x \right)}}\, dx}{c^{2}}"," ",0,"Integral(1/(a**4*x**4*asin(a*x) - 2*a**2*x**2*asin(a*x) + asin(a*x)), x)/c**2","F",0
316,0,0,0,0.000000," ","integrate(x**4*(-c**2*x**2+1)**(1/2)/(a+b*asin(c*x)),x)","\int \frac{x^{4} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x**4*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*asin(c*x)), x)","F",0
317,0,0,0,0.000000," ","integrate(x**3*(-c**2*x**2+1)**(1/2)/(a+b*asin(c*x)),x)","\int \frac{x^{3} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x**3*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*asin(c*x)), x)","F",0
318,0,0,0,0.000000," ","integrate(x**2*(-c**2*x**2+1)**(1/2)/(a+b*asin(c*x)),x)","\int \frac{x^{2} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x**2*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*asin(c*x)), x)","F",0
319,0,0,0,0.000000," ","integrate(x*(-c**2*x**2+1)**(1/2)/(a+b*asin(c*x)),x)","\int \frac{x \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*asin(c*x)), x)","F",0
320,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/(a+b*asin(c*x)),x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(a + b*asin(c*x)), x)","F",0
321,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x/(a+b*asin(c*x)),x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x*(a + b*asin(c*x))), x)","F",0
322,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x**2/(a+b*asin(c*x)),x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x**2*(a + b*asin(c*x))), x)","F",0
323,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x**3/(a+b*asin(c*x)),x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x^{3} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x**3*(a + b*asin(c*x))), x)","F",0
324,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x**4/(a+b*asin(c*x)),x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x^{4} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x**4*(a + b*asin(c*x))), x)","F",0
325,0,0,0,0.000000," ","integrate(x**3*(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x)),x)","\int \frac{x^{3} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x**3*(-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*asin(c*x)), x)","F",0
326,0,0,0,0.000000," ","integrate(x**2*(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x)),x)","\int \frac{x^{2} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x**2*(-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*asin(c*x)), x)","F",0
327,0,0,0,0.000000," ","integrate(x*(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x)),x)","\int \frac{x \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x*(-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*asin(c*x)), x)","F",0
328,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/(a+b*asin(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*asin(c*x)), x)","F",0
329,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x/(a+b*asin(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x*(a + b*asin(c*x))), x)","F",0
330,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x**2/(a+b*asin(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x**2*(a + b*asin(c*x))), x)","F",0
331,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x**3/(a+b*asin(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x^{3} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x**3*(a + b*asin(c*x))), x)","F",0
332,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x**4/(a+b*asin(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x^{4} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x**4*(a + b*asin(c*x))), x)","F",0
333,0,0,0,0.000000," ","integrate(x**3*(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x)),x)","\int \frac{x^{3} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x**3*(-(c*x - 1)*(c*x + 1))**(5/2)/(a + b*asin(c*x)), x)","F",0
334,0,0,0,0.000000," ","integrate(x**2*(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x)),x)","\int \frac{x^{2} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x**2*(-(c*x - 1)*(c*x + 1))**(5/2)/(a + b*asin(c*x)), x)","F",0
335,0,0,0,0.000000," ","integrate(x*(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x)),x)","\int \frac{x \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x*(-(c*x - 1)*(c*x + 1))**(5/2)/(a + b*asin(c*x)), x)","F",0
336,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/(a+b*asin(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(a + b*asin(c*x)), x)","F",0
337,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x/(a+b*asin(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x*(a + b*asin(c*x))), x)","F",0
338,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x**2/(a+b*asin(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x**2*(a + b*asin(c*x))), x)","F",0
339,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x**3/(a+b*asin(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x^{3} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x**3*(a + b*asin(c*x))), x)","F",0
340,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x**4/(a+b*asin(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x^{4} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x**4*(a + b*asin(c*x))), x)","F",0
341,0,0,0,0.000000," ","integrate(x**4/asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{4}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/(sqrt(-(a*x - 1)*(a*x + 1))*asin(a*x)), x)","F",0
342,0,0,0,0.000000," ","integrate(x**3/asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{3}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/(sqrt(-(a*x - 1)*(a*x + 1))*asin(a*x)), x)","F",0
343,0,0,0,0.000000," ","integrate(x**2/asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{2}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/(sqrt(-(a*x - 1)*(a*x + 1))*asin(a*x)), x)","F",0
344,0,0,0,0.000000," ","integrate(x**2/asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{2}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/(sqrt(-(a*x - 1)*(a*x + 1))*asin(a*x)), x)","F",0
345,0,0,0,0.000000," ","integrate(x/asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x/(sqrt(-(a*x - 1)*(a*x + 1))*asin(a*x)), x)","F",0
346,1,7,0,0.407917," ","integrate(1/asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\frac{\log{\left(\operatorname{asin}{\left(a x \right)} \right)}}{a}"," ",0,"log(asin(a*x))/a","A",0
347,0,0,0,0.000000," ","integrate(1/x/asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{1}{x \sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*sqrt(-(a*x - 1)*(a*x + 1))*asin(a*x)), x)","F",0
348,0,0,0,0.000000," ","integrate(1/x**2/asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x**2*sqrt(-(a*x - 1)*(a*x + 1))*asin(a*x)), x)","F",0
349,0,0,0,0.000000," ","integrate(x**5/(a+b*asin(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{5}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**5/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))), x)","F",0
350,0,0,0,0.000000," ","integrate(x**4/(a+b*asin(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{4}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**4/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))), x)","F",0
351,0,0,0,0.000000," ","integrate(x**3/(a+b*asin(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{3}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**3/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))), x)","F",0
352,0,0,0,0.000000," ","integrate(x**2/(a+b*asin(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{2}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**2/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))), x)","F",0
353,0,0,0,0.000000," ","integrate(x/(a+b*asin(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{x}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))), x)","F",0
354,1,42,0,1.273059," ","integrate(1/(a+b*asin(c*x))/(-c**2*x**2+1)**(1/2),x)","\begin{cases} \frac{x}{a} & \text{for}\: b = 0 \wedge c = 0 \\\frac{\begin{cases} - \frac{i \operatorname{acosh}{\left(c x \right)}}{c} & \text{for}\: \left|{c^{2} x^{2}}\right| > 1 \\\frac{\operatorname{asin}{\left(c x \right)}}{c} & \text{otherwise} \end{cases}}{a} & \text{for}\: b = 0 \\\frac{x}{a} & \text{for}\: c = 0 \\\frac{\log{\left(\frac{a}{b} + \operatorname{asin}{\left(c x \right)} \right)}}{b c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x/a, Eq(b, 0) & Eq(c, 0)), (Piecewise((-I*acosh(c*x)/c, Abs(c**2*x**2) > 1), (asin(c*x)/c, True))/a, Eq(b, 0)), (x/a, Eq(c, 0)), (log(a/b + asin(c*x))/(b*c), True))","A",0
355,0,0,0,0.000000," ","integrate(1/x/(a+b*asin(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{1}{x \sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/(x*sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))), x)","F",0
356,0,0,0,0.000000," ","integrate(1/x**2/(a+b*asin(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/(x**2*sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))), x)","F",0
357,0,0,0,0.000000," ","integrate(x**2/(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x)),x)","\int \frac{x^{2}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**2/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))), x)","F",0
358,0,0,0,0.000000," ","integrate(x/(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x)),x)","\int \frac{x}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))), x)","F",0
359,0,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x)),x)","\int \frac{1}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))), x)","F",0
360,0,0,0,0.000000," ","integrate(1/x/(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x)),x)","\int \frac{1}{x \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/(x*(-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))), x)","F",0
361,0,0,0,0.000000," ","integrate(1/x**2/(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x)),x)","\int \frac{1}{x^{2} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/(x**2*(-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))), x)","F",0
362,0,0,0,0.000000," ","integrate(x**2/(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x)),x)","\int \frac{x^{2}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**2/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))), x)","F",0
363,0,0,0,0.000000," ","integrate(x/(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x)),x)","\int \frac{x}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))), x)","F",0
364,0,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x)),x)","\int \frac{1}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))), x)","F",0
365,0,0,0,0.000000," ","integrate(1/x/(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x)),x)","\int \frac{1}{x \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/(x*(-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))), x)","F",0
366,0,0,0,0.000000," ","integrate(1/x**2/(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x)),x)","\int \frac{1}{x^{2} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/(x**2*(-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))), x)","F",0
367,-1,0,0,0.000000," ","integrate(x**m*(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
368,0,0,0,0.000000," ","integrate(x**m*(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x)),x)","\int \frac{x^{m} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x**m*(-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*asin(c*x)), x)","F",0
369,0,0,0,0.000000," ","integrate(x**m*(-c**2*x**2+1)**(1/2)/(a+b*asin(c*x)),x)","\int \frac{x^{m} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x**m*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*asin(c*x)), x)","F",0
370,0,0,0,0.000000," ","integrate(x**m/(-c**2*x**2+1)**(1/2)/(a+b*asin(c*x)),x)","\int \frac{x^{m}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**m/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))), x)","F",0
371,0,0,0,0.000000," ","integrate(x**m/(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x)),x)","\int \frac{x^{m}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**m/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))), x)","F",0
372,0,0,0,0.000000," ","integrate(x**m/(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x)),x)","\int \frac{x^{m}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**m/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))), x)","F",0
373,0,0,0,0.000000," ","integrate(x**m/asin(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{m}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x**m/(sqrt(-(a*x - 1)*(a*x + 1))*asin(a*x)), x)","F",0
374,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**3/asin(a*x)**2,x)","- c^{3} \left(\int \frac{3 a^{2} x^{2}}{\operatorname{asin}^{2}{\left(a x \right)}}\, dx + \int \left(- \frac{3 a^{4} x^{4}}{\operatorname{asin}^{2}{\left(a x \right)}}\right)\, dx + \int \frac{a^{6} x^{6}}{\operatorname{asin}^{2}{\left(a x \right)}}\, dx + \int \left(- \frac{1}{\operatorname{asin}^{2}{\left(a x \right)}}\right)\, dx\right)"," ",0,"-c**3*(Integral(3*a**2*x**2/asin(a*x)**2, x) + Integral(-3*a**4*x**4/asin(a*x)**2, x) + Integral(a**6*x**6/asin(a*x)**2, x) + Integral(-1/asin(a*x)**2, x))","F",0
375,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**2/asin(a*x)**2,x)","c^{2} \left(\int \left(- \frac{2 a^{2} x^{2}}{\operatorname{asin}^{2}{\left(a x \right)}}\right)\, dx + \int \frac{a^{4} x^{4}}{\operatorname{asin}^{2}{\left(a x \right)}}\, dx + \int \frac{1}{\operatorname{asin}^{2}{\left(a x \right)}}\, dx\right)"," ",0,"c**2*(Integral(-2*a**2*x**2/asin(a*x)**2, x) + Integral(a**4*x**4/asin(a*x)**2, x) + Integral(asin(a*x)**(-2), x))","F",0
376,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)/asin(a*x)**2,x)","- c \left(\int \frac{a^{2} x^{2}}{\operatorname{asin}^{2}{\left(a x \right)}}\, dx + \int \left(- \frac{1}{\operatorname{asin}^{2}{\left(a x \right)}}\right)\, dx\right)"," ",0,"-c*(Integral(a**2*x**2/asin(a*x)**2, x) + Integral(-1/asin(a*x)**2, x))","F",0
377,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)/asin(a*x)**2,x)","- \frac{\int \frac{1}{a^{2} x^{2} \operatorname{asin}^{2}{\left(a x \right)} - \operatorname{asin}^{2}{\left(a x \right)}}\, dx}{c}"," ",0,"-Integral(1/(a**2*x**2*asin(a*x)**2 - asin(a*x)**2), x)/c","F",0
378,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**2/asin(a*x)**2,x)","\frac{\int \frac{1}{a^{4} x^{4} \operatorname{asin}^{2}{\left(a x \right)} - 2 a^{2} x^{2} \operatorname{asin}^{2}{\left(a x \right)} + \operatorname{asin}^{2}{\left(a x \right)}}\, dx}{c^{2}}"," ",0,"Integral(1/(a**4*x**4*asin(a*x)**2 - 2*a**2*x**2*asin(a*x)**2 + asin(a*x)**2), x)/c**2","F",0
379,0,0,0,0.000000," ","integrate(1/(-x**2+1)/asin(x)**2-x/(-x**2+1)**(3/2)/asin(x),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x \operatorname{asin}{\left(x \right)} - \sqrt{1 - x^{2}}\right)}{\left(- \left(x - 1\right) \left(x + 1\right)\right)^{\frac{5}{2}} \operatorname{asin}^{2}{\left(x \right)}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x*asin(x) - sqrt(1 - x**2))/((-(x - 1)*(x + 1))**(5/2)*asin(x)**2), x)","F",0
380,0,0,0,0.000000," ","integrate(x**m*(-c**2*x**2+1)**(1/2)/(a+b*asin(c*x))**2,x)","\int \frac{x^{m} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**m*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*asin(c*x))**2, x)","F",0
381,0,0,0,0.000000," ","integrate(x**3*(-c**2*x**2+1)**(1/2)/(a+b*asin(c*x))**2,x)","\int \frac{x^{3} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**3*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*asin(c*x))**2, x)","F",0
382,0,0,0,0.000000," ","integrate(x**2*(-c**2*x**2+1)**(1/2)/(a+b*asin(c*x))**2,x)","\int \frac{x^{2} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*asin(c*x))**2, x)","F",0
383,0,0,0,0.000000," ","integrate(x*(-c**2*x**2+1)**(1/2)/(a+b*asin(c*x))**2,x)","\int \frac{x \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*asin(c*x))**2, x)","F",0
384,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/(a+b*asin(c*x))**2,x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(a + b*asin(c*x))**2, x)","F",0
385,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x/(a+b*asin(c*x))**2,x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x*(a + b*asin(c*x))**2), x)","F",0
386,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x**2/(a+b*asin(c*x))**2,x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x**2*(a + b*asin(c*x))**2), x)","F",0
387,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x**3/(a+b*asin(c*x))**2,x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x^{3} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x**3*(a + b*asin(c*x))**2), x)","F",0
388,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x**4/(a+b*asin(c*x))**2,x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x^{4} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x**4*(a + b*asin(c*x))**2), x)","F",0
389,0,0,0,0.000000," ","integrate(x**m*(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{x^{m} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**m*(-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*asin(c*x))**2, x)","F",0
390,0,0,0,0.000000," ","integrate(x**3*(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{x^{3} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**3*(-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*asin(c*x))**2, x)","F",0
391,0,0,0,0.000000," ","integrate(x**2*(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{x^{2} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2*(-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*asin(c*x))**2, x)","F",0
392,0,0,0,0.000000," ","integrate(x*(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{x \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x*(-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*asin(c*x))**2, x)","F",0
393,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*asin(c*x))**2, x)","F",0
394,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x/(a+b*asin(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x*(a + b*asin(c*x))**2), x)","F",0
395,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x**2/(a+b*asin(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x**2*(a + b*asin(c*x))**2), x)","F",0
396,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x**3/(a+b*asin(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x^{3} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x**3*(a + b*asin(c*x))**2), x)","F",0
397,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x**4/(a+b*asin(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x^{4} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x**4*(a + b*asin(c*x))**2), x)","F",0
398,-1,0,0,0.000000," ","integrate(x**m*(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
399,0,0,0,0.000000," ","integrate(x**3*(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x))**2,x)","\int \frac{x^{3} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**3*(-(c*x - 1)*(c*x + 1))**(5/2)/(a + b*asin(c*x))**2, x)","F",0
400,0,0,0,0.000000," ","integrate(x**2*(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x))**2,x)","\int \frac{x^{2} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2*(-(c*x - 1)*(c*x + 1))**(5/2)/(a + b*asin(c*x))**2, x)","F",0
401,0,0,0,0.000000," ","integrate(x*(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x))**2,x)","\int \frac{x \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x*(-(c*x - 1)*(c*x + 1))**(5/2)/(a + b*asin(c*x))**2, x)","F",0
402,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/(a+b*asin(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(a + b*asin(c*x))**2, x)","F",0
403,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x/(a+b*asin(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x*(a + b*asin(c*x))**2), x)","F",0
404,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x**2/(a+b*asin(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x**2*(a + b*asin(c*x))**2), x)","F",0
405,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x**3/(a+b*asin(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x^{3} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x**3*(a + b*asin(c*x))**2), x)","F",0
406,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x**4/(a+b*asin(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x^{4} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x**4*(a + b*asin(c*x))**2), x)","F",0
407,0,0,0,0.000000," ","integrate(x**m/(a+b*asin(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{m}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**m/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2), x)","F",0
408,0,0,0,0.000000," ","integrate(x**5/(a+b*asin(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{5}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**5/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2), x)","F",0
409,0,0,0,0.000000," ","integrate(x**4/(a+b*asin(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{4}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**4/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2), x)","F",0
410,0,0,0,0.000000," ","integrate(x**3/(a+b*asin(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{3}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**3/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2), x)","F",0
411,0,0,0,0.000000," ","integrate(x**2/(a+b*asin(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{2}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2), x)","F",0
412,0,0,0,0.000000," ","integrate(x/(a+b*asin(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{x}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2), x)","F",0
413,1,53,0,2.109250," ","integrate(1/(a+b*asin(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\begin{cases} \frac{x}{a^{2}} & \text{for}\: b = 0 \wedge c = 0 \\\frac{\begin{cases} - \frac{i \operatorname{acosh}{\left(c x \right)}}{c} & \text{for}\: \left|{c^{2} x^{2}}\right| > 1 \\\frac{\operatorname{asin}{\left(c x \right)}}{c} & \text{otherwise} \end{cases}}{a^{2}} & \text{for}\: b = 0 \\\frac{x}{a^{2}} & \text{for}\: c = 0 \\- \frac{1}{a b c + b^{2} c \operatorname{asin}{\left(c x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x/a**2, Eq(b, 0) & Eq(c, 0)), (Piecewise((-I*acosh(c*x)/c, Abs(c**2*x**2) > 1), (asin(c*x)/c, True))/a**2, Eq(b, 0)), (x/a**2, Eq(c, 0)), (-1/(a*b*c + b**2*c*asin(c*x)), True))","A",0
414,0,0,0,0.000000," ","integrate(1/x/(a+b*asin(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{1}{x \sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x*sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2), x)","F",0
415,0,0,0,0.000000," ","integrate(1/x**2/(a+b*asin(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**2*sqrt(-(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**2), x)","F",0
416,0,0,0,0.000000," ","integrate(x**m/(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{x^{m}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**m/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2), x)","F",0
417,0,0,0,0.000000," ","integrate(x**3/(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{x^{3}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**3/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2), x)","F",0
418,0,0,0,0.000000," ","integrate(x**2/(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{x^{2}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2), x)","F",0
419,0,0,0,0.000000," ","integrate(x/(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{x}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2), x)","F",0
420,0,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{1}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2), x)","F",0
421,0,0,0,0.000000," ","integrate(1/x/(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{1}{x \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x*(-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2), x)","F",0
422,0,0,0,0.000000," ","integrate(1/x**2/(-c**2*x**2+1)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{1}{x^{2} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**2*(-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2), x)","F",0
423,0,0,0,0.000000," ","integrate(x**m/(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x))**2,x)","\int \frac{x^{m}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**m/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))**2), x)","F",0
424,0,0,0,0.000000," ","integrate(x**3/(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x))**2,x)","\int \frac{x^{3}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**3/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))**2), x)","F",0
425,0,0,0,0.000000," ","integrate(x**2/(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x))**2,x)","\int \frac{x^{2}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))**2), x)","F",0
426,0,0,0,0.000000," ","integrate(x/(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x))**2,x)","\int \frac{x}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))**2), x)","F",0
427,0,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x))**2,x)","\int \frac{1}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))**2), x)","F",0
428,0,0,0,0.000000," ","integrate(1/x/(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x))**2,x)","\int \frac{1}{x \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x*(-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))**2), x)","F",0
429,0,0,0,0.000000," ","integrate(1/x**2/(-c**2*x**2+1)**(5/2)/(a+b*asin(c*x))**2,x)","\int \frac{1}{x^{2} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**2*(-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*asin(c*x))**2), x)","F",0
430,1,12,0,0.851397," ","integrate(1/asin(a*x)**3/(-a**2*x**2+1)**(1/2),x)","- \frac{1}{2 a \operatorname{asin}^{2}{\left(a x \right)}}"," ",0,"-1/(2*a*asin(a*x)**2)","A",0
431,0,0,0,0.000000," ","integrate(x**3*(-c**2*d*x**2+d)/(a+b*asin(c*x))**(3/2),x)","- d \left(\int \left(- \frac{x^{3}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\right)\, dx + \int \frac{c^{2} x^{5}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx\right)"," ",0,"-d*(Integral(-x**3/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(c**2*x**5/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x))","F",0
432,0,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)/(a+b*asin(c*x))**(3/2),x)","- d \left(\int \left(- \frac{x^{2}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\right)\, dx + \int \frac{c^{2} x^{4}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx\right)"," ",0,"-d*(Integral(-x**2/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(c**2*x**4/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x))","F",0
433,0,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)/(a+b*asin(c*x))**(3/2),x)","- d \left(\int \left(- \frac{x}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\right)\, dx + \int \frac{c^{2} x^{3}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx\right)"," ",0,"-d*(Integral(-x/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(c**2*x**3/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x))","F",0
434,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)/(a+b*asin(c*x))**(3/2),x)","- d \left(\int \frac{c^{2} x^{2}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx + \int \left(- \frac{1}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\right)\, dx\right)"," ",0,"-d*(Integral(c**2*x**2/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(-1/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x))","F",0
435,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)/x/(a+b*asin(c*x))**(3/2),x)","- d \left(\int \frac{c^{2} x^{2}}{a x \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b x \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx + \int \left(- \frac{1}{a x \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b x \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\right)\, dx\right)"," ",0,"-d*(Integral(c**2*x**2/(a*x*sqrt(a + b*asin(c*x)) + b*x*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(-1/(a*x*sqrt(a + b*asin(c*x)) + b*x*sqrt(a + b*asin(c*x))*asin(c*x)), x))","F",0
436,0,0,0,0.000000," ","integrate(x**3*(-c**2*d*x**2+d)**2/(a+b*asin(c*x))**(3/2),x)","d^{2} \left(\int \frac{x^{3}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx + \int \left(- \frac{2 c^{2} x^{5}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\right)\, dx + \int \frac{c^{4} x^{7}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx\right)"," ",0,"d**2*(Integral(x**3/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(-2*c**2*x**5/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(c**4*x**7/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x))","F",0
437,0,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**2/(a+b*asin(c*x))**(3/2),x)","d^{2} \left(\int \frac{x^{2}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx + \int \left(- \frac{2 c^{2} x^{4}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\right)\, dx + \int \frac{c^{4} x^{6}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx\right)"," ",0,"d**2*(Integral(x**2/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(-2*c**2*x**4/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(c**4*x**6/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x))","F",0
438,0,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**2/(a+b*asin(c*x))**(3/2),x)","d^{2} \left(\int \frac{x}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx + \int \left(- \frac{2 c^{2} x^{3}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\right)\, dx + \int \frac{c^{4} x^{5}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx\right)"," ",0,"d**2*(Integral(x/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(-2*c**2*x**3/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(c**4*x**5/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x))","F",0
439,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**2/(a+b*asin(c*x))**(3/2),x)","d^{2} \left(\int \left(- \frac{2 c^{2} x^{2}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\right)\, dx + \int \frac{c^{4} x^{4}}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx + \int \frac{1}{a \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx\right)"," ",0,"d**2*(Integral(-2*c**2*x**2/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(c**4*x**4/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(1/(a*sqrt(a + b*asin(c*x)) + b*sqrt(a + b*asin(c*x))*asin(c*x)), x))","F",0
440,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**2/x/(a+b*asin(c*x))**(3/2),x)","d^{2} \left(\int \left(- \frac{2 c^{2} x^{2}}{a x \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b x \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\right)\, dx + \int \frac{c^{4} x^{4}}{a x \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b x \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx + \int \frac{1}{a x \sqrt{a + b \operatorname{asin}{\left(c x \right)}} + b x \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \operatorname{asin}{\left(c x \right)}}\, dx\right)"," ",0,"d**2*(Integral(-2*c**2*x**2/(a*x*sqrt(a + b*asin(c*x)) + b*x*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(c**4*x**4/(a*x*sqrt(a + b*asin(c*x)) + b*x*sqrt(a + b*asin(c*x))*asin(c*x)), x) + Integral(1/(a*x*sqrt(a + b*asin(c*x)) + b*x*sqrt(a + b*asin(c*x))*asin(c*x)), x))","F",0
441,0,0,0,0.000000," ","integrate(x*asin(x)**(3/2)/(-x**2+1)**2-3/8*x/(-x**2+1)/asin(x)**(1/2),x)","\frac{\int \left(- \frac{3 x}{x^{4} \sqrt{\operatorname{asin}{\left(x \right)}} - 2 x^{2} \sqrt{\operatorname{asin}{\left(x \right)}} + \sqrt{\operatorname{asin}{\left(x \right)}}}\right)\, dx + \int \frac{3 x^{3}}{x^{4} \sqrt{\operatorname{asin}{\left(x \right)}} - 2 x^{2} \sqrt{\operatorname{asin}{\left(x \right)}} + \sqrt{\operatorname{asin}{\left(x \right)}}}\, dx + \int \frac{8 x \operatorname{asin}^{2}{\left(x \right)}}{x^{4} \sqrt{\operatorname{asin}{\left(x \right)}} - 2 x^{2} \sqrt{\operatorname{asin}{\left(x \right)}} + \sqrt{\operatorname{asin}{\left(x \right)}}}\, dx}{8}"," ",0,"(Integral(-3*x/(x**4*sqrt(asin(x)) - 2*x**2*sqrt(asin(x)) + sqrt(asin(x))), x) + Integral(3*x**3/(x**4*sqrt(asin(x)) - 2*x**2*sqrt(asin(x)) + sqrt(asin(x))), x) + Integral(8*x*asin(x)**2/(x**4*sqrt(asin(x)) - 2*x**2*sqrt(asin(x)) + sqrt(asin(x))), x))/8","F",0
442,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(3/2)*asin(a*x)**(1/2),x)","\int \left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}} \sqrt{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral((-c*(a*x - 1)*(a*x + 1))**(3/2)*sqrt(asin(a*x)), x)","F",0
443,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(1/2)*asin(a*x)**(1/2),x)","\int \sqrt{- c \left(a x - 1\right) \left(a x + 1\right)} \sqrt{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(sqrt(-c*(a*x - 1)*(a*x + 1))*sqrt(asin(a*x)), x)","F",0
444,0,0,0,0.000000," ","integrate(asin(a*x)**(1/2)/(-a**2*c*x**2+c)**(1/2),x)","\int \frac{\sqrt{\operatorname{asin}{\left(a x \right)}}}{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(sqrt(asin(a*x))/sqrt(-c*(a*x - 1)*(a*x + 1)), x)","F",0
445,0,0,0,0.000000," ","integrate(asin(a*x)**(1/2)/(-a**2*c*x**2+c)**(3/2),x)","\int \frac{\sqrt{\operatorname{asin}{\left(a x \right)}}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(asin(a*x))/(-c*(a*x - 1)*(a*x + 1))**(3/2), x)","F",0
446,0,0,0,0.000000," ","integrate(asin(a*x)**(1/2)/(-a**2*c*x**2+c)**(5/2),x)","\int \frac{\sqrt{\operatorname{asin}{\left(a x \right)}}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(asin(a*x))/(-c*(a*x - 1)*(a*x + 1))**(5/2), x)","F",0
447,-1,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(3/2)*asin(a*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
448,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(1/2)*asin(a*x)**(3/2),x)","\int \sqrt{- c \left(a x - 1\right) \left(a x + 1\right)} \operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(sqrt(-c*(a*x - 1)*(a*x + 1))*asin(a*x)**(3/2), x)","F",0
449,0,0,0,0.000000," ","integrate(asin(a*x)**(3/2)/(-a**2*c*x**2+c)**(1/2),x)","\int \frac{\operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(asin(a*x)**(3/2)/sqrt(-c*(a*x - 1)*(a*x + 1)), x)","F",0
450,0,0,0,0.000000," ","integrate(asin(a*x)**(3/2)/(-a**2*c*x**2+c)**(3/2),x)","\int \frac{\operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(asin(a*x)**(3/2)/(-c*(a*x - 1)*(a*x + 1))**(3/2), x)","F",0
451,-1,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(3/2)*asin(a*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
452,-1,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(1/2)*asin(a*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
453,-1,0,0,0.000000," ","integrate(asin(a*x)**(5/2)/(-a**2*c*x**2+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
454,-1,0,0,0.000000," ","integrate(asin(a*x)**(5/2)/(-a**2*c*x**2+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
455,0,0,0,0.000000," ","integrate((a**2-x**2)**(3/2)*asin(x/a)**(1/2),x)","\int \left(- \left(- a + x\right) \left(a + x\right)\right)^{\frac{3}{2}} \sqrt{\operatorname{asin}{\left(\frac{x}{a} \right)}}\, dx"," ",0,"Integral((-(-a + x)*(a + x))**(3/2)*sqrt(asin(x/a)), x)","F",0
456,0,0,0,0.000000," ","integrate((a**2-x**2)**(1/2)*asin(x/a)**(1/2),x)","\int \sqrt{- \left(- a + x\right) \left(a + x\right)} \sqrt{\operatorname{asin}{\left(\frac{x}{a} \right)}}\, dx"," ",0,"Integral(sqrt(-(-a + x)*(a + x))*sqrt(asin(x/a)), x)","F",0
457,0,0,0,0.000000," ","integrate(asin(x/a)**(1/2)/(a**2-x**2)**(1/2),x)","\int \frac{\sqrt{\operatorname{asin}{\left(\frac{x}{a} \right)}}}{\sqrt{- \left(- a + x\right) \left(a + x\right)}}\, dx"," ",0,"Integral(sqrt(asin(x/a))/sqrt(-(-a + x)*(a + x)), x)","F",0
458,0,0,0,0.000000," ","integrate(asin(x/a)**(1/2)/(a**2-x**2)**(3/2),x)","\int \frac{\sqrt{\operatorname{asin}{\left(\frac{x}{a} \right)}}}{\left(- \left(- a + x\right) \left(a + x\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(asin(x/a))/(-(-a + x)*(a + x))**(3/2), x)","F",0
459,0,0,0,0.000000," ","integrate(asin(x/a)**(1/2)/(a**2-x**2)**(5/2),x)","\int \frac{\sqrt{\operatorname{asin}{\left(\frac{x}{a} \right)}}}{\left(- \left(- a + x\right) \left(a + x\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(asin(x/a))/(-(-a + x)*(a + x))**(5/2), x)","F",0
460,-1,0,0,0.000000," ","integrate((a**2-x**2)**(3/2)*asin(x/a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
461,0,0,0,0.000000," ","integrate((a**2-x**2)**(1/2)*asin(x/a)**(3/2),x)","\int \sqrt{- \left(- a + x\right) \left(a + x\right)} \operatorname{asin}^{\frac{3}{2}}{\left(\frac{x}{a} \right)}\, dx"," ",0,"Integral(sqrt(-(-a + x)*(a + x))*asin(x/a)**(3/2), x)","F",0
462,0,0,0,0.000000," ","integrate(asin(x/a)**(3/2)/(a**2-x**2)**(1/2),x)","\int \frac{\operatorname{asin}^{\frac{3}{2}}{\left(\frac{x}{a} \right)}}{\sqrt{- \left(- a + x\right) \left(a + x\right)}}\, dx"," ",0,"Integral(asin(x/a)**(3/2)/sqrt(-(-a + x)*(a + x)), x)","F",0
463,0,0,0,0.000000," ","integrate(asin(x/a)**(3/2)/(a**2-x**2)**(3/2),x)","\int \frac{\operatorname{asin}^{\frac{3}{2}}{\left(\frac{x}{a} \right)}}{\left(- \left(- a + x\right) \left(a + x\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(asin(x/a)**(3/2)/(-(-a + x)*(a + x))**(3/2), x)","F",0
464,0,0,0,0.000000," ","integrate(x/(-x**2+1)**(1/2)/asin(x)**(1/2),x)","\int \frac{x}{\sqrt{- \left(x - 1\right) \left(x + 1\right)} \sqrt{\operatorname{asin}{\left(x \right)}}}\, dx"," ",0,"Integral(x/(sqrt(-(x - 1)*(x + 1))*sqrt(asin(x))), x)","F",0
465,-1,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(5/2)/asin(a*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
466,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(3/2)/asin(a*x)**(1/2),x)","\int \frac{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}}}{\sqrt{\operatorname{asin}{\left(a x \right)}}}\, dx"," ",0,"Integral((-c*(a*x - 1)*(a*x + 1))**(3/2)/sqrt(asin(a*x)), x)","F",0
467,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(1/2)/asin(a*x)**(1/2),x)","\int \frac{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)}}{\sqrt{\operatorname{asin}{\left(a x \right)}}}\, dx"," ",0,"Integral(sqrt(-c*(a*x - 1)*(a*x + 1))/sqrt(asin(a*x)), x)","F",0
468,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(1/2)/asin(a*x)**(1/2),x)","\int \frac{1}{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)} \sqrt{\operatorname{asin}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/(sqrt(-c*(a*x - 1)*(a*x + 1))*sqrt(asin(a*x))), x)","F",0
469,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(3/2)/asin(a*x)**(1/2),x)","\int \frac{1}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}} \sqrt{\operatorname{asin}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/((-c*(a*x - 1)*(a*x + 1))**(3/2)*sqrt(asin(a*x))), x)","F",0
470,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(5/2)/asin(a*x)**(1/2),x)","\int \frac{1}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{5}{2}} \sqrt{\operatorname{asin}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/((-c*(a*x - 1)*(a*x + 1))**(5/2)*sqrt(asin(a*x))), x)","F",0
471,-1,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(5/2)/asin(a*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
472,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(3/2)/asin(a*x)**(3/2),x)","\int \frac{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}}}{\operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral((-c*(a*x - 1)*(a*x + 1))**(3/2)/asin(a*x)**(3/2), x)","F",0
473,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(1/2)/asin(a*x)**(3/2),x)","\int \frac{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)}}{\operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(sqrt(-c*(a*x - 1)*(a*x + 1))/asin(a*x)**(3/2), x)","F",0
474,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(1/2)/asin(a*x)**(3/2),x)","\int \frac{1}{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)} \operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(sqrt(-c*(a*x - 1)*(a*x + 1))*asin(a*x)**(3/2)), x)","F",0
475,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(3/2)/asin(a*x)**(3/2),x)","\int \frac{1}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}} \operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/((-c*(a*x - 1)*(a*x + 1))**(3/2)*asin(a*x)**(3/2)), x)","F",0
476,-1,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(5/2)/asin(a*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
477,-1,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(3/2)/asin(a*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
478,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(1/2)/asin(a*x)**(5/2),x)","\int \frac{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)}}{\operatorname{asin}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(sqrt(-c*(a*x - 1)*(a*x + 1))/asin(a*x)**(5/2), x)","F",0
479,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(1/2)/asin(a*x)**(5/2),x)","\int \frac{1}{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)} \operatorname{asin}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(sqrt(-c*(a*x - 1)*(a*x + 1))*asin(a*x)**(5/2)), x)","F",0
480,-1,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(3/2)/asin(a*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
481,-1,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(5/2)/asin(a*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
482,0,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))**n,x)","\int x^{2} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{n}\, dx"," ",0,"Integral(x**2*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**n, x)","F",0
483,0,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))**n,x)","\int x \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{n}\, dx"," ",0,"Integral(x*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**n, x)","F",0
484,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))**n,x)","\int \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{n}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**n, x)","F",0
485,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))**n/x,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{n}}{x}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**n/x, x)","F",0
486,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(1/2)*(a+b*asin(c*x))**n/x**2,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{n}}{x^{2}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*asin(c*x))**n/x**2, x)","F",0
487,-2,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))**n,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
488,-1,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
489,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
490,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))**n/x,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{n}}{x}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*asin(c*x))**n/x, x)","F",0
491,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*asin(c*x))**n/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
492,-1,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
493,-1,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
494,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
495,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))**n/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
496,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*asin(c*x))**n/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
497,0,0,0,0.000000," ","integrate(x**m*asin(a*x)**n/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{m} \operatorname{asin}^{n}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**m*asin(a*x)**n/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
498,0,0,0,0.000000," ","integrate(x**3*asin(a*x)**n/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{3} \operatorname{asin}^{n}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**3*asin(a*x)**n/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
499,0,0,0,0.000000," ","integrate(x**2*asin(a*x)**n/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{2} \operatorname{asin}^{n}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**2*asin(a*x)**n/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
500,0,0,0,0.000000," ","integrate(x*asin(a*x)**n/(-a**2*x**2+1)**(1/2),x)","\int \frac{x \operatorname{asin}^{n}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x*asin(a*x)**n/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
501,1,34,0,0.825571," ","integrate(asin(a*x)**n/(-a**2*x**2+1)**(1/2),x)","\begin{cases} \tilde{\infty} x & \text{for}\: a = 0 \wedge n = -1 \\0^{n} x & \text{for}\: a = 0 \\\frac{\log{\left(\operatorname{asin}{\left(a x \right)} \right)}}{a} & \text{for}\: n = -1 \\\frac{\operatorname{asin}{\left(a x \right)} \operatorname{asin}^{n}{\left(a x \right)}}{a n + a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(a, 0) & Eq(n, -1)), (0**n*x, Eq(a, 0)), (log(asin(a*x))/a, Eq(n, -1)), (asin(a*x)*asin(a*x)**n/(a*n + a), True))","A",0
502,0,0,0,0.000000," ","integrate(asin(a*x)**n/x/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{asin}^{n}{\left(a x \right)}}{x \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(asin(a*x)**n/(x*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
503,0,0,0,0.000000," ","integrate(asin(a*x)**n/x**2/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{asin}^{n}{\left(a x \right)}}{x^{2} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(asin(a*x)**n/(x**2*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
504,-1,0,0,0.000000," ","integrate((c*d*x+d)**(5/2)*(a+b*asin(c*x))*(-c*f*x+f)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
505,0,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(a+b*asin(c*x))*(-c*f*x+f)**(1/2),x)","\int \left(d \left(c x + 1\right)\right)^{\frac{3}{2}} \sqrt{- f \left(c x - 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral((d*(c*x + 1))**(3/2)*sqrt(-f*(c*x - 1))*(a + b*asin(c*x)), x)","F",0
506,0,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(a+b*asin(c*x))*(-c*f*x+f)**(1/2),x)","\int \sqrt{d \left(c x + 1\right)} \sqrt{- f \left(c x - 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral(sqrt(d*(c*x + 1))*sqrt(-f*(c*x - 1))*(a + b*asin(c*x)), x)","F",0
507,0,0,0,0.000000," ","integrate((a+b*asin(c*x))*(-c*f*x+f)**(1/2)/(c*d*x+d)**(1/2),x)","\int \frac{\sqrt{- f \left(c x - 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\sqrt{d \left(c x + 1\right)}}\, dx"," ",0,"Integral(sqrt(-f*(c*x - 1))*(a + b*asin(c*x))/sqrt(d*(c*x + 1)), x)","F",0
508,0,0,0,0.000000," ","integrate((a+b*asin(c*x))*(-c*f*x+f)**(1/2)/(c*d*x+d)**(3/2),x)","\int \frac{\sqrt{- f \left(c x - 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(d \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(-f*(c*x - 1))*(a + b*asin(c*x))/(d*(c*x + 1))**(3/2), x)","F",0
509,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))*(-c*f*x+f)**(1/2)/(c*d*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
510,-1,0,0,0.000000," ","integrate((c*d*x+d)**(5/2)*(-c*f*x+f)**(3/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
511,-1,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(-c*f*x+f)**(3/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
512,0,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(-c*f*x+f)**(3/2)*(a+b*asin(c*x)),x)","\int \sqrt{d \left(c x + 1\right)} \left(- f \left(c x - 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)\, dx"," ",0,"Integral(sqrt(d*(c*x + 1))*(-f*(c*x - 1))**(3/2)*(a + b*asin(c*x)), x)","F",0
513,0,0,0,0.000000," ","integrate((-c*f*x+f)**(3/2)*(a+b*asin(c*x))/(c*d*x+d)**(1/2),x)","\int \frac{\left(- f \left(c x - 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\sqrt{d \left(c x + 1\right)}}\, dx"," ",0,"Integral((-f*(c*x - 1))**(3/2)*(a + b*asin(c*x))/sqrt(d*(c*x + 1)), x)","F",0
514,-1,0,0,0.000000," ","integrate((-c*f*x+f)**(3/2)*(a+b*asin(c*x))/(c*d*x+d)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
515,-1,0,0,0.000000," ","integrate((-c*f*x+f)**(3/2)*(a+b*asin(c*x))/(c*d*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
516,-1,0,0,0.000000," ","integrate((c*d*x+d)**(5/2)*(-c*f*x+f)**(5/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
517,-1,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(-c*f*x+f)**(5/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
518,-1,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(-c*f*x+f)**(5/2)*(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
519,-1,0,0,0.000000," ","integrate((-c*f*x+f)**(5/2)*(a+b*asin(c*x))/(c*d*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
520,-1,0,0,0.000000," ","integrate((-c*f*x+f)**(5/2)*(a+b*asin(c*x))/(c*d*x+d)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
521,-1,0,0,0.000000," ","integrate((-c*f*x+f)**(5/2)*(a+b*asin(c*x))/(c*d*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
522,-1,0,0,0.000000," ","integrate((c*d*x+d)**(5/2)*(a+b*asin(c*x))/(-c*f*x+f)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
523,0,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(a+b*asin(c*x))/(-c*f*x+f)**(1/2),x)","\int \frac{\left(d \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\sqrt{- f \left(c x - 1\right)}}\, dx"," ",0,"Integral((d*(c*x + 1))**(3/2)*(a + b*asin(c*x))/sqrt(-f*(c*x - 1)), x)","F",0
524,0,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(a+b*asin(c*x))/(-c*f*x+f)**(1/2),x)","\int \frac{\sqrt{d \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\sqrt{- f \left(c x - 1\right)}}\, dx"," ",0,"Integral(sqrt(d*(c*x + 1))*(a + b*asin(c*x))/sqrt(-f*(c*x - 1)), x)","F",0
525,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/(c*d*x+d)**(1/2)/(-c*f*x+f)**(1/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{\sqrt{d \left(c x + 1\right)} \sqrt{- f \left(c x - 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(sqrt(d*(c*x + 1))*sqrt(-f*(c*x - 1))), x)","F",0
526,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/(c*d*x+d)**(3/2)/(-c*f*x+f)**(1/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{\left(d \left(c x + 1\right)\right)^{\frac{3}{2}} \sqrt{- f \left(c x - 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))/((d*(c*x + 1))**(3/2)*sqrt(-f*(c*x - 1))), x)","F",0
527,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/(c*d*x+d)**(5/2)/(-c*f*x+f)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
528,-1,0,0,0.000000," ","integrate((c*d*x+d)**(5/2)*(a+b*asin(c*x))/(-c*f*x+f)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
529,-1,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(a+b*asin(c*x))/(-c*f*x+f)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
530,0,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(a+b*asin(c*x))/(-c*f*x+f)**(3/2),x)","\int \frac{\sqrt{d \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(- f \left(c x - 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(d*(c*x + 1))*(a + b*asin(c*x))/(-f*(c*x - 1))**(3/2), x)","F",0
531,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/(c*d*x+d)**(1/2)/(-c*f*x+f)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
532,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/(c*d*x+d)**(3/2)/(-c*f*x+f)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
533,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/(c*d*x+d)**(5/2)/(-c*f*x+f)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
534,-1,0,0,0.000000," ","integrate((c*d*x+d)**(5/2)*(a+b*asin(c*x))/(-c*f*x+f)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
535,-1,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(a+b*asin(c*x))/(-c*f*x+f)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
536,-1,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(a+b*asin(c*x))/(-c*f*x+f)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
537,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/(c*d*x+d)**(1/2)/(-c*f*x+f)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
538,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/(c*d*x+d)**(3/2)/(-c*f*x+f)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
539,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/(c*d*x+d)**(5/2)/(-c*f*x+f)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
540,-1,0,0,0.000000," ","integrate((c*d*x+d)**(5/2)*(a+b*asin(c*x))**2*(-c*e*x+e)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
541,0,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(a+b*asin(c*x))**2*(-c*e*x+e)**(1/2),x)","\int \left(d \left(c x + 1\right)\right)^{\frac{3}{2}} \sqrt{- e \left(c x - 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral((d*(c*x + 1))**(3/2)*sqrt(-e*(c*x - 1))*(a + b*asin(c*x))**2, x)","F",0
542,0,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(-c*e*x+e)**(1/2)*(a+b*asin(c*x))**2,x)","\int \sqrt{d \left(c x + 1\right)} \sqrt{- e \left(c x - 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(sqrt(d*(c*x + 1))*sqrt(-e*(c*x - 1))*(a + b*asin(c*x))**2, x)","F",0
543,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2*(-c*e*x+e)**(1/2)/(c*d*x+d)**(1/2),x)","\int \frac{\sqrt{- e \left(c x - 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{d \left(c x + 1\right)}}\, dx"," ",0,"Integral(sqrt(-e*(c*x - 1))*(a + b*asin(c*x))**2/sqrt(d*(c*x + 1)), x)","F",0
544,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2*(-c*e*x+e)**(1/2)/(c*d*x+d)**(3/2),x)","\int \frac{\sqrt{- e \left(c x - 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(d \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(-e*(c*x - 1))*(a + b*asin(c*x))**2/(d*(c*x + 1))**(3/2), x)","F",0
545,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2*(-c*e*x+e)**(1/2)/(c*d*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
546,-1,0,0,0.000000," ","integrate((c*d*x+d)**(5/2)*(-c*e*x+e)**(3/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
547,-1,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(-c*e*x+e)**(3/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
548,0,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(-c*e*x+e)**(3/2)*(a+b*asin(c*x))**2,x)","\int \sqrt{d \left(c x + 1\right)} \left(- e \left(c x - 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(sqrt(d*(c*x + 1))*(-e*(c*x - 1))**(3/2)*(a + b*asin(c*x))**2, x)","F",0
549,0,0,0,0.000000," ","integrate((-c*e*x+e)**(3/2)*(a+b*asin(c*x))**2/(c*d*x+d)**(1/2),x)","\int \frac{\left(- e \left(c x - 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{d \left(c x + 1\right)}}\, dx"," ",0,"Integral((-e*(c*x - 1))**(3/2)*(a + b*asin(c*x))**2/sqrt(d*(c*x + 1)), x)","F",0
550,-1,0,0,0.000000," ","integrate((-c*e*x+e)**(3/2)*(a+b*asin(c*x))**2/(c*d*x+d)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
551,-1,0,0,0.000000," ","integrate((-c*e*x+e)**(3/2)*(a+b*asin(c*x))**2/(c*d*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
552,-1,0,0,0.000000," ","integrate((c*d*x+d)**(5/2)*(-c*e*x+e)**(5/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
553,-1,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(-c*e*x+e)**(5/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
554,-1,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(-c*e*x+e)**(5/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
555,-1,0,0,0.000000," ","integrate((-c*e*x+e)**(5/2)*(a+b*asin(c*x))**2/(c*d*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
556,-1,0,0,0.000000," ","integrate((-c*e*x+e)**(5/2)*(a+b*asin(c*x))**2/(c*d*x+d)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
557,-1,0,0,0.000000," ","integrate((-c*e*x+e)**(5/2)*(a+b*asin(c*x))**2/(c*d*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
558,-1,0,0,0.000000," ","integrate((c*d*x+d)**(5/2)*(a+b*asin(c*x))**2/(-c*e*x+e)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
559,0,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(a+b*asin(c*x))**2/(-c*e*x+e)**(1/2),x)","\int \frac{\left(d \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{- e \left(c x - 1\right)}}\, dx"," ",0,"Integral((d*(c*x + 1))**(3/2)*(a + b*asin(c*x))**2/sqrt(-e*(c*x - 1)), x)","F",0
560,0,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(a+b*asin(c*x))**2/(-c*e*x+e)**(1/2),x)","\int \frac{\sqrt{d \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{- e \left(c x - 1\right)}}\, dx"," ",0,"Integral(sqrt(d*(c*x + 1))*(a + b*asin(c*x))**2/sqrt(-e*(c*x - 1)), x)","F",0
561,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(c*d*x+d)**(1/2)/(-c*e*x+e)**(1/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{d \left(c x + 1\right)} \sqrt{- e \left(c x - 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(sqrt(d*(c*x + 1))*sqrt(-e*(c*x - 1))), x)","F",0
562,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(c*d*x+d)**(3/2)/(-c*e*x+e)**(1/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(d \left(c x + 1\right)\right)^{\frac{3}{2}} \sqrt{- e \left(c x - 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/((d*(c*x + 1))**(3/2)*sqrt(-e*(c*x - 1))), x)","F",0
563,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(c*d*x+d)**(5/2)/(-c*e*x+e)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
564,-1,0,0,0.000000," ","integrate((c*d*x+d)**(5/2)*(a+b*asin(c*x))**2/(-c*e*x+e)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
565,-1,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(a+b*asin(c*x))**2/(-c*e*x+e)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
566,0,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(a+b*asin(c*x))**2/(-c*e*x+e)**(3/2),x)","\int \frac{\sqrt{d \left(c x + 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(- e \left(c x - 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(d*(c*x + 1))*(a + b*asin(c*x))**2/(-e*(c*x - 1))**(3/2), x)","F",0
567,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(c*d*x+d)**(1/2)/(-c*e*x+e)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
568,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(c*d*x+d)**(3/2)/(-c*e*x+e)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
569,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(c*d*x+d)**(5/2)/(-c*e*x+e)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
570,-1,0,0,0.000000," ","integrate((c*d*x+d)**(5/2)*(a+b*asin(c*x))**2/(-c*e*x+e)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
571,-1,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(a+b*asin(c*x))**2/(-c*e*x+e)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
572,-1,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(a+b*asin(c*x))**2/(-c*e*x+e)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
573,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(c*d*x+d)**(1/2)/(-c*e*x+e)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
574,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(c*d*x+d)**(3/2)/(-c*e*x+e)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
575,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(c*d*x+d)**(5/2)/(-c*e*x+e)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
576,-1,0,0,0.000000," ","integrate(x**2*(c*d*x+d)**(1/2)*(-c*e*x+e)**(1/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
577,0,0,0,0.000000," ","integrate(x*(c*d*x+d)**(1/2)*(-c*e*x+e)**(1/2)*(a+b*asin(c*x))**2,x)","\int x \sqrt{d \left(c x + 1\right)} \sqrt{- e \left(c x - 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x*sqrt(d*(c*x + 1))*sqrt(-e*(c*x - 1))*(a + b*asin(c*x))**2, x)","F",0
578,0,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(-c*e*x+e)**(1/2)*(a+b*asin(c*x))**2,x)","\int \sqrt{d \left(c x + 1\right)} \sqrt{- e \left(c x - 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(sqrt(d*(c*x + 1))*sqrt(-e*(c*x - 1))*(a + b*asin(c*x))**2, x)","F",0
579,-1,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(-c*e*x+e)**(1/2)*(a+b*asin(c*x))**2/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
580,0,0,0,0.000000," ","integrate((c*d*x+d)**(1/2)*(-c*e*x+e)**(1/2)*(a+b*asin(c*x))**2/x**2,x)","\int \frac{\sqrt{d \left(c x + 1\right)} \sqrt{- e \left(c x - 1\right)} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral(sqrt(d*(c*x + 1))*sqrt(-e*(c*x - 1))*(a + b*asin(c*x))**2/x**2, x)","F",0
581,-1,0,0,0.000000," ","integrate(x**2*(c*d*x+d)**(3/2)*(-c*e*x+e)**(3/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
582,-1,0,0,0.000000," ","integrate(x*(c*d*x+d)**(3/2)*(-c*e*x+e)**(3/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
583,-1,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(-c*e*x+e)**(3/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
584,-1,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(-c*e*x+e)**(3/2)*(a+b*asin(c*x))**2/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
585,-1,0,0,0.000000," ","integrate((c*d*x+d)**(3/2)*(-c*e*x+e)**(3/2)*(a+b*asin(c*x))**2/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
586,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))**2/(c*d*x+d)**(1/2)/(-c*e*x+e)**(1/2),x)","\int \frac{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{d \left(c x + 1\right)} \sqrt{- e \left(c x - 1\right)}}\, dx"," ",0,"Integral(x**2*(a + b*asin(c*x))**2/(sqrt(d*(c*x + 1))*sqrt(-e*(c*x - 1))), x)","F",0
587,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))**2/(c*d*x+d)**(1/2)/(-c*e*x+e)**(1/2),x)","\int \frac{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{d \left(c x + 1\right)} \sqrt{- e \left(c x - 1\right)}}\, dx"," ",0,"Integral(x*(a + b*asin(c*x))**2/(sqrt(d*(c*x + 1))*sqrt(-e*(c*x - 1))), x)","F",0
588,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(c*d*x+d)**(1/2)/(-c*e*x+e)**(1/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{d \left(c x + 1\right)} \sqrt{- e \left(c x - 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(sqrt(d*(c*x + 1))*sqrt(-e*(c*x - 1))), x)","F",0
589,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x/(c*d*x+d)**(1/2)/(-c*e*x+e)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
590,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**2/(c*d*x+d)**(1/2)/(-c*e*x+e)**(1/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{2} \sqrt{d \left(c x + 1\right)} \sqrt{- e \left(c x - 1\right)}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(x**2*sqrt(d*(c*x + 1))*sqrt(-e*(c*x - 1))), x)","F",0
591,-1,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))**2/(c*d*x+d)**(3/2)/(-c*e*x+e)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
592,-1,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))**2/(c*d*x+d)**(3/2)/(-c*e*x+e)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
593,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(c*d*x+d)**(3/2)/(-c*e*x+e)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
594,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x/(c*d*x+d)**(3/2)/(-c*e*x+e)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
595,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**2/(c*d*x+d)**(3/2)/(-c*e*x+e)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
596,1,223,0,5.690891," ","integrate(x**4*(e*x**2+d)*(a+b*asin(c*x)),x)","\begin{cases} \frac{a d x^{5}}{5} + \frac{a e x^{7}}{7} + \frac{b d x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{b e x^{7} \operatorname{asin}{\left(c x \right)}}{7} + \frac{b d x^{4} \sqrt{- c^{2} x^{2} + 1}}{25 c} + \frac{b e x^{6} \sqrt{- c^{2} x^{2} + 1}}{49 c} + \frac{4 b d x^{2} \sqrt{- c^{2} x^{2} + 1}}{75 c^{3}} + \frac{6 b e x^{4} \sqrt{- c^{2} x^{2} + 1}}{245 c^{3}} + \frac{8 b d \sqrt{- c^{2} x^{2} + 1}}{75 c^{5}} + \frac{8 b e x^{2} \sqrt{- c^{2} x^{2} + 1}}{245 c^{5}} + \frac{16 b e \sqrt{- c^{2} x^{2} + 1}}{245 c^{7}} & \text{for}\: c \neq 0 \\a \left(\frac{d x^{5}}{5} + \frac{e x^{7}}{7}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**5/5 + a*e*x**7/7 + b*d*x**5*asin(c*x)/5 + b*e*x**7*asin(c*x)/7 + b*d*x**4*sqrt(-c**2*x**2 + 1)/(25*c) + b*e*x**6*sqrt(-c**2*x**2 + 1)/(49*c) + 4*b*d*x**2*sqrt(-c**2*x**2 + 1)/(75*c**3) + 6*b*e*x**4*sqrt(-c**2*x**2 + 1)/(245*c**3) + 8*b*d*sqrt(-c**2*x**2 + 1)/(75*c**5) + 8*b*e*x**2*sqrt(-c**2*x**2 + 1)/(245*c**5) + 16*b*e*sqrt(-c**2*x**2 + 1)/(245*c**7), Ne(c, 0)), (a*(d*x**5/5 + e*x**7/7), True))","A",0
597,1,206,0,3.687050," ","integrate(x**3*(e*x**2+d)*(a+b*asin(c*x)),x)","\begin{cases} \frac{a d x^{4}}{4} + \frac{a e x^{6}}{6} + \frac{b d x^{4} \operatorname{asin}{\left(c x \right)}}{4} + \frac{b e x^{6} \operatorname{asin}{\left(c x \right)}}{6} + \frac{b d x^{3} \sqrt{- c^{2} x^{2} + 1}}{16 c} + \frac{b e x^{5} \sqrt{- c^{2} x^{2} + 1}}{36 c} + \frac{3 b d x \sqrt{- c^{2} x^{2} + 1}}{32 c^{3}} + \frac{5 b e x^{3} \sqrt{- c^{2} x^{2} + 1}}{144 c^{3}} - \frac{3 b d \operatorname{asin}{\left(c x \right)}}{32 c^{4}} + \frac{5 b e x \sqrt{- c^{2} x^{2} + 1}}{96 c^{5}} - \frac{5 b e \operatorname{asin}{\left(c x \right)}}{96 c^{6}} & \text{for}\: c \neq 0 \\a \left(\frac{d x^{4}}{4} + \frac{e x^{6}}{6}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**4/4 + a*e*x**6/6 + b*d*x**4*asin(c*x)/4 + b*e*x**6*asin(c*x)/6 + b*d*x**3*sqrt(-c**2*x**2 + 1)/(16*c) + b*e*x**5*sqrt(-c**2*x**2 + 1)/(36*c) + 3*b*d*x*sqrt(-c**2*x**2 + 1)/(32*c**3) + 5*b*e*x**3*sqrt(-c**2*x**2 + 1)/(144*c**3) - 3*b*d*asin(c*x)/(32*c**4) + 5*b*e*x*sqrt(-c**2*x**2 + 1)/(96*c**5) - 5*b*e*asin(c*x)/(96*c**6), Ne(c, 0)), (a*(d*x**4/4 + e*x**6/6), True))","A",0
598,1,172,0,2.051272," ","integrate(x**2*(e*x**2+d)*(a+b*asin(c*x)),x)","\begin{cases} \frac{a d x^{3}}{3} + \frac{a e x^{5}}{5} + \frac{b d x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{b e x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{b d x^{2} \sqrt{- c^{2} x^{2} + 1}}{9 c} + \frac{b e x^{4} \sqrt{- c^{2} x^{2} + 1}}{25 c} + \frac{2 b d \sqrt{- c^{2} x^{2} + 1}}{9 c^{3}} + \frac{4 b e x^{2} \sqrt{- c^{2} x^{2} + 1}}{75 c^{3}} + \frac{8 b e \sqrt{- c^{2} x^{2} + 1}}{75 c^{5}} & \text{for}\: c \neq 0 \\a \left(\frac{d x^{3}}{3} + \frac{e x^{5}}{5}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**3/3 + a*e*x**5/5 + b*d*x**3*asin(c*x)/3 + b*e*x**5*asin(c*x)/5 + b*d*x**2*sqrt(-c**2*x**2 + 1)/(9*c) + b*e*x**4*sqrt(-c**2*x**2 + 1)/(25*c) + 2*b*d*sqrt(-c**2*x**2 + 1)/(9*c**3) + 4*b*e*x**2*sqrt(-c**2*x**2 + 1)/(75*c**3) + 8*b*e*sqrt(-c**2*x**2 + 1)/(75*c**5), Ne(c, 0)), (a*(d*x**3/3 + e*x**5/5), True))","A",0
599,1,153,0,1.144824," ","integrate(x*(e*x**2+d)*(a+b*asin(c*x)),x)","\begin{cases} \frac{a d x^{2}}{2} + \frac{a e x^{4}}{4} + \frac{b d x^{2} \operatorname{asin}{\left(c x \right)}}{2} + \frac{b e x^{4} \operatorname{asin}{\left(c x \right)}}{4} + \frac{b d x \sqrt{- c^{2} x^{2} + 1}}{4 c} + \frac{b e x^{3} \sqrt{- c^{2} x^{2} + 1}}{16 c} - \frac{b d \operatorname{asin}{\left(c x \right)}}{4 c^{2}} + \frac{3 b e x \sqrt{- c^{2} x^{2} + 1}}{32 c^{3}} - \frac{3 b e \operatorname{asin}{\left(c x \right)}}{32 c^{4}} & \text{for}\: c \neq 0 \\a \left(\frac{d x^{2}}{2} + \frac{e x^{4}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**2/2 + a*e*x**4/4 + b*d*x**2*asin(c*x)/2 + b*e*x**4*asin(c*x)/4 + b*d*x*sqrt(-c**2*x**2 + 1)/(4*c) + b*e*x**3*sqrt(-c**2*x**2 + 1)/(16*c) - b*d*asin(c*x)/(4*c**2) + 3*b*e*x*sqrt(-c**2*x**2 + 1)/(32*c**3) - 3*b*e*asin(c*x)/(32*c**4), Ne(c, 0)), (a*(d*x**2/2 + e*x**4/4), True))","A",0
600,1,109,0,0.545558," ","integrate((e*x**2+d)*(a+b*asin(c*x)),x)","\begin{cases} a d x + \frac{a e x^{3}}{3} + b d x \operatorname{asin}{\left(c x \right)} + \frac{b e x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{b d \sqrt{- c^{2} x^{2} + 1}}{c} + \frac{b e x^{2} \sqrt{- c^{2} x^{2} + 1}}{9 c} + \frac{2 b e \sqrt{- c^{2} x^{2} + 1}}{9 c^{3}} & \text{for}\: c \neq 0 \\a \left(d x + \frac{e x^{3}}{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x + a*e*x**3/3 + b*d*x*asin(c*x) + b*e*x**3*asin(c*x)/3 + b*d*sqrt(-c**2*x**2 + 1)/c + b*e*x**2*sqrt(-c**2*x**2 + 1)/(9*c) + 2*b*e*sqrt(-c**2*x**2 + 1)/(9*c**3), Ne(c, 0)), (a*(d*x + e*x**3/3), True))","A",0
601,0,0,0,0.000000," ","integrate((e*x**2+d)*(a+b*asin(c*x))/x,x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right) \left(d + e x^{2}\right)}{x}\, dx"," ",0,"Integral((a + b*asin(c*x))*(d + e*x**2)/x, x)","F",0
602,1,75,0,3.936322," ","integrate((e*x**2+d)*(a+b*asin(c*x))/x**2,x)","- \frac{a d}{x} + a e x + b c d \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{c x} \right)} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{c x} \right)} & \text{otherwise} \end{cases}\right) - \frac{b d \operatorname{asin}{\left(c x \right)}}{x} + b e \left(\begin{cases} 0 & \text{for}\: c = 0 \\x \operatorname{asin}{\left(c x \right)} + \frac{\sqrt{- c^{2} x^{2} + 1}}{c} & \text{otherwise} \end{cases}\right)"," ",0,"-a*d/x + a*e*x + b*c*d*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) - b*d*asin(c*x)/x + b*e*Piecewise((0, Eq(c, 0)), (x*asin(c*x) + sqrt(-c**2*x**2 + 1)/c, True))","A",0
603,0,0,0,0.000000," ","integrate((e*x**2+d)*(a+b*asin(c*x))/x**3,x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right) \left(d + e x^{2}\right)}{x^{3}}\, dx"," ",0,"Integral((a + b*asin(c*x))*(d + e*x**2)/x**3, x)","F",0
604,1,170,0,4.874924," ","integrate((e*x**2+d)*(a+b*asin(c*x))/x**4,x)","- \frac{a d}{3 x^{3}} - \frac{a e}{x} + \frac{b c d \left(\begin{cases} - \frac{c^{2} \operatorname{acosh}{\left(\frac{1}{c x} \right)}}{2} - \frac{c \sqrt{-1 + \frac{1}{c^{2} x^{2}}}}{2 x} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\\frac{i c^{2} \operatorname{asin}{\left(\frac{1}{c x} \right)}}{2} - \frac{i c}{2 x \sqrt{1 - \frac{1}{c^{2} x^{2}}}} + \frac{i}{2 c x^{3} \sqrt{1 - \frac{1}{c^{2} x^{2}}}} & \text{otherwise} \end{cases}\right)}{3} + b c e \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{c x} \right)} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{c x} \right)} & \text{otherwise} \end{cases}\right) - \frac{b d \operatorname{asin}{\left(c x \right)}}{3 x^{3}} - \frac{b e \operatorname{asin}{\left(c x \right)}}{x}"," ",0,"-a*d/(3*x**3) - a*e/x + b*c*d*Piecewise((-c**2*acosh(1/(c*x))/2 - c*sqrt(-1 + 1/(c**2*x**2))/(2*x), 1/Abs(c**2*x**2) > 1), (I*c**2*asin(1/(c*x))/2 - I*c/(2*x*sqrt(1 - 1/(c**2*x**2))) + I/(2*c*x**3*sqrt(1 - 1/(c**2*x**2))), True))/3 + b*c*e*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) - b*d*asin(c*x)/(3*x**3) - b*e*asin(c*x)/x","A",0
605,1,415,0,15.973816," ","integrate(x**4*(e*x**2+d)**2*(a+b*asin(c*x)),x)","\begin{cases} \frac{a d^{2} x^{5}}{5} + \frac{2 a d e x^{7}}{7} + \frac{a e^{2} x^{9}}{9} + \frac{b d^{2} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{2 b d e x^{7} \operatorname{asin}{\left(c x \right)}}{7} + \frac{b e^{2} x^{9} \operatorname{asin}{\left(c x \right)}}{9} + \frac{b d^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{25 c} + \frac{2 b d e x^{6} \sqrt{- c^{2} x^{2} + 1}}{49 c} + \frac{b e^{2} x^{8} \sqrt{- c^{2} x^{2} + 1}}{81 c} + \frac{4 b d^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{75 c^{3}} + \frac{12 b d e x^{4} \sqrt{- c^{2} x^{2} + 1}}{245 c^{3}} + \frac{8 b e^{2} x^{6} \sqrt{- c^{2} x^{2} + 1}}{567 c^{3}} + \frac{8 b d^{2} \sqrt{- c^{2} x^{2} + 1}}{75 c^{5}} + \frac{16 b d e x^{2} \sqrt{- c^{2} x^{2} + 1}}{245 c^{5}} + \frac{16 b e^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{945 c^{5}} + \frac{32 b d e \sqrt{- c^{2} x^{2} + 1}}{245 c^{7}} + \frac{64 b e^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{2835 c^{7}} + \frac{128 b e^{2} \sqrt{- c^{2} x^{2} + 1}}{2835 c^{9}} & \text{for}\: c \neq 0 \\a \left(\frac{d^{2} x^{5}}{5} + \frac{2 d e x^{7}}{7} + \frac{e^{2} x^{9}}{9}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**2*x**5/5 + 2*a*d*e*x**7/7 + a*e**2*x**9/9 + b*d**2*x**5*asin(c*x)/5 + 2*b*d*e*x**7*asin(c*x)/7 + b*e**2*x**9*asin(c*x)/9 + b*d**2*x**4*sqrt(-c**2*x**2 + 1)/(25*c) + 2*b*d*e*x**6*sqrt(-c**2*x**2 + 1)/(49*c) + b*e**2*x**8*sqrt(-c**2*x**2 + 1)/(81*c) + 4*b*d**2*x**2*sqrt(-c**2*x**2 + 1)/(75*c**3) + 12*b*d*e*x**4*sqrt(-c**2*x**2 + 1)/(245*c**3) + 8*b*e**2*x**6*sqrt(-c**2*x**2 + 1)/(567*c**3) + 8*b*d**2*sqrt(-c**2*x**2 + 1)/(75*c**5) + 16*b*d*e*x**2*sqrt(-c**2*x**2 + 1)/(245*c**5) + 16*b*e**2*x**4*sqrt(-c**2*x**2 + 1)/(945*c**5) + 32*b*d*e*sqrt(-c**2*x**2 + 1)/(245*c**7) + 64*b*e**2*x**2*sqrt(-c**2*x**2 + 1)/(2835*c**7) + 128*b*e**2*sqrt(-c**2*x**2 + 1)/(2835*c**9), Ne(c, 0)), (a*(d**2*x**5/5 + 2*d*e*x**7/7 + e**2*x**9/9), True))","A",0
606,1,382,0,10.797529," ","integrate(x**3*(e*x**2+d)**2*(a+b*asin(c*x)),x)","\begin{cases} \frac{a d^{2} x^{4}}{4} + \frac{a d e x^{6}}{3} + \frac{a e^{2} x^{8}}{8} + \frac{b d^{2} x^{4} \operatorname{asin}{\left(c x \right)}}{4} + \frac{b d e x^{6} \operatorname{asin}{\left(c x \right)}}{3} + \frac{b e^{2} x^{8} \operatorname{asin}{\left(c x \right)}}{8} + \frac{b d^{2} x^{3} \sqrt{- c^{2} x^{2} + 1}}{16 c} + \frac{b d e x^{5} \sqrt{- c^{2} x^{2} + 1}}{18 c} + \frac{b e^{2} x^{7} \sqrt{- c^{2} x^{2} + 1}}{64 c} + \frac{3 b d^{2} x \sqrt{- c^{2} x^{2} + 1}}{32 c^{3}} + \frac{5 b d e x^{3} \sqrt{- c^{2} x^{2} + 1}}{72 c^{3}} + \frac{7 b e^{2} x^{5} \sqrt{- c^{2} x^{2} + 1}}{384 c^{3}} - \frac{3 b d^{2} \operatorname{asin}{\left(c x \right)}}{32 c^{4}} + \frac{5 b d e x \sqrt{- c^{2} x^{2} + 1}}{48 c^{5}} + \frac{35 b e^{2} x^{3} \sqrt{- c^{2} x^{2} + 1}}{1536 c^{5}} - \frac{5 b d e \operatorname{asin}{\left(c x \right)}}{48 c^{6}} + \frac{35 b e^{2} x \sqrt{- c^{2} x^{2} + 1}}{1024 c^{7}} - \frac{35 b e^{2} \operatorname{asin}{\left(c x \right)}}{1024 c^{8}} & \text{for}\: c \neq 0 \\a \left(\frac{d^{2} x^{4}}{4} + \frac{d e x^{6}}{3} + \frac{e^{2} x^{8}}{8}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**2*x**4/4 + a*d*e*x**6/3 + a*e**2*x**8/8 + b*d**2*x**4*asin(c*x)/4 + b*d*e*x**6*asin(c*x)/3 + b*e**2*x**8*asin(c*x)/8 + b*d**2*x**3*sqrt(-c**2*x**2 + 1)/(16*c) + b*d*e*x**5*sqrt(-c**2*x**2 + 1)/(18*c) + b*e**2*x**7*sqrt(-c**2*x**2 + 1)/(64*c) + 3*b*d**2*x*sqrt(-c**2*x**2 + 1)/(32*c**3) + 5*b*d*e*x**3*sqrt(-c**2*x**2 + 1)/(72*c**3) + 7*b*e**2*x**5*sqrt(-c**2*x**2 + 1)/(384*c**3) - 3*b*d**2*asin(c*x)/(32*c**4) + 5*b*d*e*x*sqrt(-c**2*x**2 + 1)/(48*c**5) + 35*b*e**2*x**3*sqrt(-c**2*x**2 + 1)/(1536*c**5) - 5*b*d*e*asin(c*x)/(48*c**6) + 35*b*e**2*x*sqrt(-c**2*x**2 + 1)/(1024*c**7) - 35*b*e**2*asin(c*x)/(1024*c**8), Ne(c, 0)), (a*(d**2*x**4/4 + d*e*x**6/3 + e**2*x**8/8), True))","A",0
607,1,333,0,5.992032," ","integrate(x**2*(e*x**2+d)**2*(a+b*asin(c*x)),x)","\begin{cases} \frac{a d^{2} x^{3}}{3} + \frac{2 a d e x^{5}}{5} + \frac{a e^{2} x^{7}}{7} + \frac{b d^{2} x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{2 b d e x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{b e^{2} x^{7} \operatorname{asin}{\left(c x \right)}}{7} + \frac{b d^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{9 c} + \frac{2 b d e x^{4} \sqrt{- c^{2} x^{2} + 1}}{25 c} + \frac{b e^{2} x^{6} \sqrt{- c^{2} x^{2} + 1}}{49 c} + \frac{2 b d^{2} \sqrt{- c^{2} x^{2} + 1}}{9 c^{3}} + \frac{8 b d e x^{2} \sqrt{- c^{2} x^{2} + 1}}{75 c^{3}} + \frac{6 b e^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{245 c^{3}} + \frac{16 b d e \sqrt{- c^{2} x^{2} + 1}}{75 c^{5}} + \frac{8 b e^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{245 c^{5}} + \frac{16 b e^{2} \sqrt{- c^{2} x^{2} + 1}}{245 c^{7}} & \text{for}\: c \neq 0 \\a \left(\frac{d^{2} x^{3}}{3} + \frac{2 d e x^{5}}{5} + \frac{e^{2} x^{7}}{7}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**2*x**3/3 + 2*a*d*e*x**5/5 + a*e**2*x**7/7 + b*d**2*x**3*asin(c*x)/3 + 2*b*d*e*x**5*asin(c*x)/5 + b*e**2*x**7*asin(c*x)/7 + b*d**2*x**2*sqrt(-c**2*x**2 + 1)/(9*c) + 2*b*d*e*x**4*sqrt(-c**2*x**2 + 1)/(25*c) + b*e**2*x**6*sqrt(-c**2*x**2 + 1)/(49*c) + 2*b*d**2*sqrt(-c**2*x**2 + 1)/(9*c**3) + 8*b*d*e*x**2*sqrt(-c**2*x**2 + 1)/(75*c**3) + 6*b*e**2*x**4*sqrt(-c**2*x**2 + 1)/(245*c**3) + 16*b*d*e*sqrt(-c**2*x**2 + 1)/(75*c**5) + 8*b*e**2*x**2*sqrt(-c**2*x**2 + 1)/(245*c**5) + 16*b*e**2*sqrt(-c**2*x**2 + 1)/(245*c**7), Ne(c, 0)), (a*(d**2*x**3/3 + 2*d*e*x**5/5 + e**2*x**7/7), True))","A",0
608,1,299,0,4.056566," ","integrate(x*(e*x**2+d)**2*(a+b*asin(c*x)),x)","\begin{cases} \frac{a d^{2} x^{2}}{2} + \frac{a d e x^{4}}{2} + \frac{a e^{2} x^{6}}{6} + \frac{b d^{2} x^{2} \operatorname{asin}{\left(c x \right)}}{2} + \frac{b d e x^{4} \operatorname{asin}{\left(c x \right)}}{2} + \frac{b e^{2} x^{6} \operatorname{asin}{\left(c x \right)}}{6} + \frac{b d^{2} x \sqrt{- c^{2} x^{2} + 1}}{4 c} + \frac{b d e x^{3} \sqrt{- c^{2} x^{2} + 1}}{8 c} + \frac{b e^{2} x^{5} \sqrt{- c^{2} x^{2} + 1}}{36 c} - \frac{b d^{2} \operatorname{asin}{\left(c x \right)}}{4 c^{2}} + \frac{3 b d e x \sqrt{- c^{2} x^{2} + 1}}{16 c^{3}} + \frac{5 b e^{2} x^{3} \sqrt{- c^{2} x^{2} + 1}}{144 c^{3}} - \frac{3 b d e \operatorname{asin}{\left(c x \right)}}{16 c^{4}} + \frac{5 b e^{2} x \sqrt{- c^{2} x^{2} + 1}}{96 c^{5}} - \frac{5 b e^{2} \operatorname{asin}{\left(c x \right)}}{96 c^{6}} & \text{for}\: c \neq 0 \\a \left(\frac{d^{2} x^{2}}{2} + \frac{d e x^{4}}{2} + \frac{e^{2} x^{6}}{6}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**2*x**2/2 + a*d*e*x**4/2 + a*e**2*x**6/6 + b*d**2*x**2*asin(c*x)/2 + b*d*e*x**4*asin(c*x)/2 + b*e**2*x**6*asin(c*x)/6 + b*d**2*x*sqrt(-c**2*x**2 + 1)/(4*c) + b*d*e*x**3*sqrt(-c**2*x**2 + 1)/(8*c) + b*e**2*x**5*sqrt(-c**2*x**2 + 1)/(36*c) - b*d**2*asin(c*x)/(4*c**2) + 3*b*d*e*x*sqrt(-c**2*x**2 + 1)/(16*c**3) + 5*b*e**2*x**3*sqrt(-c**2*x**2 + 1)/(144*c**3) - 3*b*d*e*asin(c*x)/(16*c**4) + 5*b*e**2*x*sqrt(-c**2*x**2 + 1)/(96*c**5) - 5*b*e**2*asin(c*x)/(96*c**6), Ne(c, 0)), (a*(d**2*x**2/2 + d*e*x**4/2 + e**2*x**6/6), True))","A",0
609,1,240,0,2.269735," ","integrate((e*x**2+d)**2*(a+b*asin(c*x)),x)","\begin{cases} a d^{2} x + \frac{2 a d e x^{3}}{3} + \frac{a e^{2} x^{5}}{5} + b d^{2} x \operatorname{asin}{\left(c x \right)} + \frac{2 b d e x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{b e^{2} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{b d^{2} \sqrt{- c^{2} x^{2} + 1}}{c} + \frac{2 b d e x^{2} \sqrt{- c^{2} x^{2} + 1}}{9 c} + \frac{b e^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{25 c} + \frac{4 b d e \sqrt{- c^{2} x^{2} + 1}}{9 c^{3}} + \frac{4 b e^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{75 c^{3}} + \frac{8 b e^{2} \sqrt{- c^{2} x^{2} + 1}}{75 c^{5}} & \text{for}\: c \neq 0 \\a \left(d^{2} x + \frac{2 d e x^{3}}{3} + \frac{e^{2} x^{5}}{5}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**2*x + 2*a*d*e*x**3/3 + a*e**2*x**5/5 + b*d**2*x*asin(c*x) + 2*b*d*e*x**3*asin(c*x)/3 + b*e**2*x**5*asin(c*x)/5 + b*d**2*sqrt(-c**2*x**2 + 1)/c + 2*b*d*e*x**2*sqrt(-c**2*x**2 + 1)/(9*c) + b*e**2*x**4*sqrt(-c**2*x**2 + 1)/(25*c) + 4*b*d*e*sqrt(-c**2*x**2 + 1)/(9*c**3) + 4*b*e**2*x**2*sqrt(-c**2*x**2 + 1)/(75*c**3) + 8*b*e**2*sqrt(-c**2*x**2 + 1)/(75*c**5), Ne(c, 0)), (a*(d**2*x + 2*d*e*x**3/3 + e**2*x**5/5), True))","A",0
610,0,0,0,0.000000," ","integrate((e*x**2+d)**2*(a+b*asin(c*x))/x,x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{2}}{x}\, dx"," ",0,"Integral((a + b*asin(c*x))*(d + e*x**2)**2/x, x)","F",0
611,1,167,0,5.614517," ","integrate((e*x**2+d)**2*(a+b*asin(c*x))/x**2,x)","- \frac{a d^{2}}{x} + 2 a d e x + \frac{a e^{2} x^{3}}{3} + b c d^{2} \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{c x} \right)} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{c x} \right)} & \text{otherwise} \end{cases}\right) - \frac{b c e^{2} \left(\begin{cases} - \frac{x^{2} \sqrt{- c^{2} x^{2} + 1}}{3 c^{2}} - \frac{2 \sqrt{- c^{2} x^{2} + 1}}{3 c^{4}} & \text{for}\: c \neq 0 \\\frac{x^{4}}{4} & \text{otherwise} \end{cases}\right)}{3} - \frac{b d^{2} \operatorname{asin}{\left(c x \right)}}{x} + 2 b d e \left(\begin{cases} 0 & \text{for}\: c = 0 \\x \operatorname{asin}{\left(c x \right)} + \frac{\sqrt{- c^{2} x^{2} + 1}}{c} & \text{otherwise} \end{cases}\right) + \frac{b e^{2} x^{3} \operatorname{asin}{\left(c x \right)}}{3}"," ",0,"-a*d**2/x + 2*a*d*e*x + a*e**2*x**3/3 + b*c*d**2*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) - b*c*e**2*Piecewise((-x**2*sqrt(-c**2*x**2 + 1)/(3*c**2) - 2*sqrt(-c**2*x**2 + 1)/(3*c**4), Ne(c, 0)), (x**4/4, True))/3 - b*d**2*asin(c*x)/x + 2*b*d*e*Piecewise((0, Eq(c, 0)), (x*asin(c*x) + sqrt(-c**2*x**2 + 1)/c, True)) + b*e**2*x**3*asin(c*x)/3","A",0
612,0,0,0,0.000000," ","integrate((e*x**2+d)**2*(a+b*asin(c*x))/x**3,x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{2}}{x^{3}}\, dx"," ",0,"Integral((a + b*asin(c*x))*(d + e*x**2)**2/x**3, x)","F",0
613,1,219,0,6.827980," ","integrate((e*x**2+d)**2*(a+b*asin(c*x))/x**4,x)","- \frac{a d^{2}}{3 x^{3}} - \frac{2 a d e}{x} + a e^{2} x + \frac{b c d^{2} \left(\begin{cases} - \frac{c^{2} \operatorname{acosh}{\left(\frac{1}{c x} \right)}}{2} - \frac{c \sqrt{-1 + \frac{1}{c^{2} x^{2}}}}{2 x} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\\frac{i c^{2} \operatorname{asin}{\left(\frac{1}{c x} \right)}}{2} - \frac{i c}{2 x \sqrt{1 - \frac{1}{c^{2} x^{2}}}} + \frac{i}{2 c x^{3} \sqrt{1 - \frac{1}{c^{2} x^{2}}}} & \text{otherwise} \end{cases}\right)}{3} + 2 b c d e \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{c x} \right)} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{c x} \right)} & \text{otherwise} \end{cases}\right) - \frac{b d^{2} \operatorname{asin}{\left(c x \right)}}{3 x^{3}} - \frac{2 b d e \operatorname{asin}{\left(c x \right)}}{x} + b e^{2} \left(\begin{cases} 0 & \text{for}\: c = 0 \\x \operatorname{asin}{\left(c x \right)} + \frac{\sqrt{- c^{2} x^{2} + 1}}{c} & \text{otherwise} \end{cases}\right)"," ",0,"-a*d**2/(3*x**3) - 2*a*d*e/x + a*e**2*x + b*c*d**2*Piecewise((-c**2*acosh(1/(c*x))/2 - c*sqrt(-1 + 1/(c**2*x**2))/(2*x), 1/Abs(c**2*x**2) > 1), (I*c**2*asin(1/(c*x))/2 - I*c/(2*x*sqrt(1 - 1/(c**2*x**2))) + I/(2*c*x**3*sqrt(1 - 1/(c**2*x**2))), True))/3 + 2*b*c*d*e*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) - b*d**2*asin(c*x)/(3*x**3) - 2*b*d*e*asin(c*x)/x + b*e**2*Piecewise((0, Eq(c, 0)), (x*asin(c*x) + sqrt(-c**2*x**2 + 1)/c, True))","A",0
614,1,631,0,38.571526," ","integrate(x**4*(e*x**2+d)**3*(a+b*asin(c*x)),x)","\begin{cases} \frac{a d^{3} x^{5}}{5} + \frac{3 a d^{2} e x^{7}}{7} + \frac{a d e^{2} x^{9}}{3} + \frac{a e^{3} x^{11}}{11} + \frac{b d^{3} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{3 b d^{2} e x^{7} \operatorname{asin}{\left(c x \right)}}{7} + \frac{b d e^{2} x^{9} \operatorname{asin}{\left(c x \right)}}{3} + \frac{b e^{3} x^{11} \operatorname{asin}{\left(c x \right)}}{11} + \frac{b d^{3} x^{4} \sqrt{- c^{2} x^{2} + 1}}{25 c} + \frac{3 b d^{2} e x^{6} \sqrt{- c^{2} x^{2} + 1}}{49 c} + \frac{b d e^{2} x^{8} \sqrt{- c^{2} x^{2} + 1}}{27 c} + \frac{b e^{3} x^{10} \sqrt{- c^{2} x^{2} + 1}}{121 c} + \frac{4 b d^{3} x^{2} \sqrt{- c^{2} x^{2} + 1}}{75 c^{3}} + \frac{18 b d^{2} e x^{4} \sqrt{- c^{2} x^{2} + 1}}{245 c^{3}} + \frac{8 b d e^{2} x^{6} \sqrt{- c^{2} x^{2} + 1}}{189 c^{3}} + \frac{10 b e^{3} x^{8} \sqrt{- c^{2} x^{2} + 1}}{1089 c^{3}} + \frac{8 b d^{3} \sqrt{- c^{2} x^{2} + 1}}{75 c^{5}} + \frac{24 b d^{2} e x^{2} \sqrt{- c^{2} x^{2} + 1}}{245 c^{5}} + \frac{16 b d e^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{315 c^{5}} + \frac{80 b e^{3} x^{6} \sqrt{- c^{2} x^{2} + 1}}{7623 c^{5}} + \frac{48 b d^{2} e \sqrt{- c^{2} x^{2} + 1}}{245 c^{7}} + \frac{64 b d e^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{945 c^{7}} + \frac{32 b e^{3} x^{4} \sqrt{- c^{2} x^{2} + 1}}{2541 c^{7}} + \frac{128 b d e^{2} \sqrt{- c^{2} x^{2} + 1}}{945 c^{9}} + \frac{128 b e^{3} x^{2} \sqrt{- c^{2} x^{2} + 1}}{7623 c^{9}} + \frac{256 b e^{3} \sqrt{- c^{2} x^{2} + 1}}{7623 c^{11}} & \text{for}\: c \neq 0 \\a \left(\frac{d^{3} x^{5}}{5} + \frac{3 d^{2} e x^{7}}{7} + \frac{d e^{2} x^{9}}{3} + \frac{e^{3} x^{11}}{11}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**3*x**5/5 + 3*a*d**2*e*x**7/7 + a*d*e**2*x**9/3 + a*e**3*x**11/11 + b*d**3*x**5*asin(c*x)/5 + 3*b*d**2*e*x**7*asin(c*x)/7 + b*d*e**2*x**9*asin(c*x)/3 + b*e**3*x**11*asin(c*x)/11 + b*d**3*x**4*sqrt(-c**2*x**2 + 1)/(25*c) + 3*b*d**2*e*x**6*sqrt(-c**2*x**2 + 1)/(49*c) + b*d*e**2*x**8*sqrt(-c**2*x**2 + 1)/(27*c) + b*e**3*x**10*sqrt(-c**2*x**2 + 1)/(121*c) + 4*b*d**3*x**2*sqrt(-c**2*x**2 + 1)/(75*c**3) + 18*b*d**2*e*x**4*sqrt(-c**2*x**2 + 1)/(245*c**3) + 8*b*d*e**2*x**6*sqrt(-c**2*x**2 + 1)/(189*c**3) + 10*b*e**3*x**8*sqrt(-c**2*x**2 + 1)/(1089*c**3) + 8*b*d**3*sqrt(-c**2*x**2 + 1)/(75*c**5) + 24*b*d**2*e*x**2*sqrt(-c**2*x**2 + 1)/(245*c**5) + 16*b*d*e**2*x**4*sqrt(-c**2*x**2 + 1)/(315*c**5) + 80*b*e**3*x**6*sqrt(-c**2*x**2 + 1)/(7623*c**5) + 48*b*d**2*e*sqrt(-c**2*x**2 + 1)/(245*c**7) + 64*b*d*e**2*x**2*sqrt(-c**2*x**2 + 1)/(945*c**7) + 32*b*e**3*x**4*sqrt(-c**2*x**2 + 1)/(2541*c**7) + 128*b*d*e**2*sqrt(-c**2*x**2 + 1)/(945*c**9) + 128*b*e**3*x**2*sqrt(-c**2*x**2 + 1)/(7623*c**9) + 256*b*e**3*sqrt(-c**2*x**2 + 1)/(7623*c**11), Ne(c, 0)), (a*(d**3*x**5/5 + 3*d**2*e*x**7/7 + d*e**2*x**9/3 + e**3*x**11/11), True))","A",0
615,1,597,0,27.782627," ","integrate(x**3*(e*x**2+d)**3*(a+b*asin(c*x)),x)","\begin{cases} \frac{a d^{3} x^{4}}{4} + \frac{a d^{2} e x^{6}}{2} + \frac{3 a d e^{2} x^{8}}{8} + \frac{a e^{3} x^{10}}{10} + \frac{b d^{3} x^{4} \operatorname{asin}{\left(c x \right)}}{4} + \frac{b d^{2} e x^{6} \operatorname{asin}{\left(c x \right)}}{2} + \frac{3 b d e^{2} x^{8} \operatorname{asin}{\left(c x \right)}}{8} + \frac{b e^{3} x^{10} \operatorname{asin}{\left(c x \right)}}{10} + \frac{b d^{3} x^{3} \sqrt{- c^{2} x^{2} + 1}}{16 c} + \frac{b d^{2} e x^{5} \sqrt{- c^{2} x^{2} + 1}}{12 c} + \frac{3 b d e^{2} x^{7} \sqrt{- c^{2} x^{2} + 1}}{64 c} + \frac{b e^{3} x^{9} \sqrt{- c^{2} x^{2} + 1}}{100 c} + \frac{3 b d^{3} x \sqrt{- c^{2} x^{2} + 1}}{32 c^{3}} + \frac{5 b d^{2} e x^{3} \sqrt{- c^{2} x^{2} + 1}}{48 c^{3}} + \frac{7 b d e^{2} x^{5} \sqrt{- c^{2} x^{2} + 1}}{128 c^{3}} + \frac{9 b e^{3} x^{7} \sqrt{- c^{2} x^{2} + 1}}{800 c^{3}} - \frac{3 b d^{3} \operatorname{asin}{\left(c x \right)}}{32 c^{4}} + \frac{5 b d^{2} e x \sqrt{- c^{2} x^{2} + 1}}{32 c^{5}} + \frac{35 b d e^{2} x^{3} \sqrt{- c^{2} x^{2} + 1}}{512 c^{5}} + \frac{21 b e^{3} x^{5} \sqrt{- c^{2} x^{2} + 1}}{1600 c^{5}} - \frac{5 b d^{2} e \operatorname{asin}{\left(c x \right)}}{32 c^{6}} + \frac{105 b d e^{2} x \sqrt{- c^{2} x^{2} + 1}}{1024 c^{7}} + \frac{21 b e^{3} x^{3} \sqrt{- c^{2} x^{2} + 1}}{1280 c^{7}} - \frac{105 b d e^{2} \operatorname{asin}{\left(c x \right)}}{1024 c^{8}} + \frac{63 b e^{3} x \sqrt{- c^{2} x^{2} + 1}}{2560 c^{9}} - \frac{63 b e^{3} \operatorname{asin}{\left(c x \right)}}{2560 c^{10}} & \text{for}\: c \neq 0 \\a \left(\frac{d^{3} x^{4}}{4} + \frac{d^{2} e x^{6}}{2} + \frac{3 d e^{2} x^{8}}{8} + \frac{e^{3} x^{10}}{10}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**3*x**4/4 + a*d**2*e*x**6/2 + 3*a*d*e**2*x**8/8 + a*e**3*x**10/10 + b*d**3*x**4*asin(c*x)/4 + b*d**2*e*x**6*asin(c*x)/2 + 3*b*d*e**2*x**8*asin(c*x)/8 + b*e**3*x**10*asin(c*x)/10 + b*d**3*x**3*sqrt(-c**2*x**2 + 1)/(16*c) + b*d**2*e*x**5*sqrt(-c**2*x**2 + 1)/(12*c) + 3*b*d*e**2*x**7*sqrt(-c**2*x**2 + 1)/(64*c) + b*e**3*x**9*sqrt(-c**2*x**2 + 1)/(100*c) + 3*b*d**3*x*sqrt(-c**2*x**2 + 1)/(32*c**3) + 5*b*d**2*e*x**3*sqrt(-c**2*x**2 + 1)/(48*c**3) + 7*b*d*e**2*x**5*sqrt(-c**2*x**2 + 1)/(128*c**3) + 9*b*e**3*x**7*sqrt(-c**2*x**2 + 1)/(800*c**3) - 3*b*d**3*asin(c*x)/(32*c**4) + 5*b*d**2*e*x*sqrt(-c**2*x**2 + 1)/(32*c**5) + 35*b*d*e**2*x**3*sqrt(-c**2*x**2 + 1)/(512*c**5) + 21*b*e**3*x**5*sqrt(-c**2*x**2 + 1)/(1600*c**5) - 5*b*d**2*e*asin(c*x)/(32*c**6) + 105*b*d*e**2*x*sqrt(-c**2*x**2 + 1)/(1024*c**7) + 21*b*e**3*x**3*sqrt(-c**2*x**2 + 1)/(1280*c**7) - 105*b*d*e**2*asin(c*x)/(1024*c**8) + 63*b*e**3*x*sqrt(-c**2*x**2 + 1)/(2560*c**9) - 63*b*e**3*asin(c*x)/(2560*c**10), Ne(c, 0)), (a*(d**3*x**4/4 + d**2*e*x**6/2 + 3*d*e**2*x**8/8 + e**3*x**10/10), True))","A",0
616,1,525,0,16.488751," ","integrate(x**2*(e*x**2+d)**3*(a+b*asin(c*x)),x)","\begin{cases} \frac{a d^{3} x^{3}}{3} + \frac{3 a d^{2} e x^{5}}{5} + \frac{3 a d e^{2} x^{7}}{7} + \frac{a e^{3} x^{9}}{9} + \frac{b d^{3} x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{3 b d^{2} e x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{3 b d e^{2} x^{7} \operatorname{asin}{\left(c x \right)}}{7} + \frac{b e^{3} x^{9} \operatorname{asin}{\left(c x \right)}}{9} + \frac{b d^{3} x^{2} \sqrt{- c^{2} x^{2} + 1}}{9 c} + \frac{3 b d^{2} e x^{4} \sqrt{- c^{2} x^{2} + 1}}{25 c} + \frac{3 b d e^{2} x^{6} \sqrt{- c^{2} x^{2} + 1}}{49 c} + \frac{b e^{3} x^{8} \sqrt{- c^{2} x^{2} + 1}}{81 c} + \frac{2 b d^{3} \sqrt{- c^{2} x^{2} + 1}}{9 c^{3}} + \frac{4 b d^{2} e x^{2} \sqrt{- c^{2} x^{2} + 1}}{25 c^{3}} + \frac{18 b d e^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{245 c^{3}} + \frac{8 b e^{3} x^{6} \sqrt{- c^{2} x^{2} + 1}}{567 c^{3}} + \frac{8 b d^{2} e \sqrt{- c^{2} x^{2} + 1}}{25 c^{5}} + \frac{24 b d e^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{245 c^{5}} + \frac{16 b e^{3} x^{4} \sqrt{- c^{2} x^{2} + 1}}{945 c^{5}} + \frac{48 b d e^{2} \sqrt{- c^{2} x^{2} + 1}}{245 c^{7}} + \frac{64 b e^{3} x^{2} \sqrt{- c^{2} x^{2} + 1}}{2835 c^{7}} + \frac{128 b e^{3} \sqrt{- c^{2} x^{2} + 1}}{2835 c^{9}} & \text{for}\: c \neq 0 \\a \left(\frac{d^{3} x^{3}}{3} + \frac{3 d^{2} e x^{5}}{5} + \frac{3 d e^{2} x^{7}}{7} + \frac{e^{3} x^{9}}{9}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**3*x**3/3 + 3*a*d**2*e*x**5/5 + 3*a*d*e**2*x**7/7 + a*e**3*x**9/9 + b*d**3*x**3*asin(c*x)/3 + 3*b*d**2*e*x**5*asin(c*x)/5 + 3*b*d*e**2*x**7*asin(c*x)/7 + b*e**3*x**9*asin(c*x)/9 + b*d**3*x**2*sqrt(-c**2*x**2 + 1)/(9*c) + 3*b*d**2*e*x**4*sqrt(-c**2*x**2 + 1)/(25*c) + 3*b*d*e**2*x**6*sqrt(-c**2*x**2 + 1)/(49*c) + b*e**3*x**8*sqrt(-c**2*x**2 + 1)/(81*c) + 2*b*d**3*sqrt(-c**2*x**2 + 1)/(9*c**3) + 4*b*d**2*e*x**2*sqrt(-c**2*x**2 + 1)/(25*c**3) + 18*b*d*e**2*x**4*sqrt(-c**2*x**2 + 1)/(245*c**3) + 8*b*e**3*x**6*sqrt(-c**2*x**2 + 1)/(567*c**3) + 8*b*d**2*e*sqrt(-c**2*x**2 + 1)/(25*c**5) + 24*b*d*e**2*x**2*sqrt(-c**2*x**2 + 1)/(245*c**5) + 16*b*e**3*x**4*sqrt(-c**2*x**2 + 1)/(945*c**5) + 48*b*d*e**2*sqrt(-c**2*x**2 + 1)/(245*c**7) + 64*b*e**3*x**2*sqrt(-c**2*x**2 + 1)/(2835*c**7) + 128*b*e**3*sqrt(-c**2*x**2 + 1)/(2835*c**9), Ne(c, 0)), (a*(d**3*x**3/3 + 3*d**2*e*x**5/5 + 3*d*e**2*x**7/7 + e**3*x**9/9), True))","A",0
617,1,483,0,11.303516," ","integrate(x*(e*x**2+d)**3*(a+b*asin(c*x)),x)","\begin{cases} \frac{a d^{3} x^{2}}{2} + \frac{3 a d^{2} e x^{4}}{4} + \frac{a d e^{2} x^{6}}{2} + \frac{a e^{3} x^{8}}{8} + \frac{b d^{3} x^{2} \operatorname{asin}{\left(c x \right)}}{2} + \frac{3 b d^{2} e x^{4} \operatorname{asin}{\left(c x \right)}}{4} + \frac{b d e^{2} x^{6} \operatorname{asin}{\left(c x \right)}}{2} + \frac{b e^{3} x^{8} \operatorname{asin}{\left(c x \right)}}{8} + \frac{b d^{3} x \sqrt{- c^{2} x^{2} + 1}}{4 c} + \frac{3 b d^{2} e x^{3} \sqrt{- c^{2} x^{2} + 1}}{16 c} + \frac{b d e^{2} x^{5} \sqrt{- c^{2} x^{2} + 1}}{12 c} + \frac{b e^{3} x^{7} \sqrt{- c^{2} x^{2} + 1}}{64 c} - \frac{b d^{3} \operatorname{asin}{\left(c x \right)}}{4 c^{2}} + \frac{9 b d^{2} e x \sqrt{- c^{2} x^{2} + 1}}{32 c^{3}} + \frac{5 b d e^{2} x^{3} \sqrt{- c^{2} x^{2} + 1}}{48 c^{3}} + \frac{7 b e^{3} x^{5} \sqrt{- c^{2} x^{2} + 1}}{384 c^{3}} - \frac{9 b d^{2} e \operatorname{asin}{\left(c x \right)}}{32 c^{4}} + \frac{5 b d e^{2} x \sqrt{- c^{2} x^{2} + 1}}{32 c^{5}} + \frac{35 b e^{3} x^{3} \sqrt{- c^{2} x^{2} + 1}}{1536 c^{5}} - \frac{5 b d e^{2} \operatorname{asin}{\left(c x \right)}}{32 c^{6}} + \frac{35 b e^{3} x \sqrt{- c^{2} x^{2} + 1}}{1024 c^{7}} - \frac{35 b e^{3} \operatorname{asin}{\left(c x \right)}}{1024 c^{8}} & \text{for}\: c \neq 0 \\a \left(\frac{d^{3} x^{2}}{2} + \frac{3 d^{2} e x^{4}}{4} + \frac{d e^{2} x^{6}}{2} + \frac{e^{3} x^{8}}{8}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**3*x**2/2 + 3*a*d**2*e*x**4/4 + a*d*e**2*x**6/2 + a*e**3*x**8/8 + b*d**3*x**2*asin(c*x)/2 + 3*b*d**2*e*x**4*asin(c*x)/4 + b*d*e**2*x**6*asin(c*x)/2 + b*e**3*x**8*asin(c*x)/8 + b*d**3*x*sqrt(-c**2*x**2 + 1)/(4*c) + 3*b*d**2*e*x**3*sqrt(-c**2*x**2 + 1)/(16*c) + b*d*e**2*x**5*sqrt(-c**2*x**2 + 1)/(12*c) + b*e**3*x**7*sqrt(-c**2*x**2 + 1)/(64*c) - b*d**3*asin(c*x)/(4*c**2) + 9*b*d**2*e*x*sqrt(-c**2*x**2 + 1)/(32*c**3) + 5*b*d*e**2*x**3*sqrt(-c**2*x**2 + 1)/(48*c**3) + 7*b*e**3*x**5*sqrt(-c**2*x**2 + 1)/(384*c**3) - 9*b*d**2*e*asin(c*x)/(32*c**4) + 5*b*d*e**2*x*sqrt(-c**2*x**2 + 1)/(32*c**5) + 35*b*e**3*x**3*sqrt(-c**2*x**2 + 1)/(1536*c**5) - 5*b*d*e**2*asin(c*x)/(32*c**6) + 35*b*e**3*x*sqrt(-c**2*x**2 + 1)/(1024*c**7) - 35*b*e**3*asin(c*x)/(1024*c**8), Ne(c, 0)), (a*(d**3*x**2/2 + 3*d**2*e*x**4/4 + d*e**2*x**6/2 + e**3*x**8/8), True))","A",0
618,1,389,0,6.278666," ","integrate((e*x**2+d)**3*(a+b*asin(c*x)),x)","\begin{cases} a d^{3} x + a d^{2} e x^{3} + \frac{3 a d e^{2} x^{5}}{5} + \frac{a e^{3} x^{7}}{7} + b d^{3} x \operatorname{asin}{\left(c x \right)} + b d^{2} e x^{3} \operatorname{asin}{\left(c x \right)} + \frac{3 b d e^{2} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{b e^{3} x^{7} \operatorname{asin}{\left(c x \right)}}{7} + \frac{b d^{3} \sqrt{- c^{2} x^{2} + 1}}{c} + \frac{b d^{2} e x^{2} \sqrt{- c^{2} x^{2} + 1}}{3 c} + \frac{3 b d e^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{25 c} + \frac{b e^{3} x^{6} \sqrt{- c^{2} x^{2} + 1}}{49 c} + \frac{2 b d^{2} e \sqrt{- c^{2} x^{2} + 1}}{3 c^{3}} + \frac{4 b d e^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{25 c^{3}} + \frac{6 b e^{3} x^{4} \sqrt{- c^{2} x^{2} + 1}}{245 c^{3}} + \frac{8 b d e^{2} \sqrt{- c^{2} x^{2} + 1}}{25 c^{5}} + \frac{8 b e^{3} x^{2} \sqrt{- c^{2} x^{2} + 1}}{245 c^{5}} + \frac{16 b e^{3} \sqrt{- c^{2} x^{2} + 1}}{245 c^{7}} & \text{for}\: c \neq 0 \\a \left(d^{3} x + d^{2} e x^{3} + \frac{3 d e^{2} x^{5}}{5} + \frac{e^{3} x^{7}}{7}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**3*x + a*d**2*e*x**3 + 3*a*d*e**2*x**5/5 + a*e**3*x**7/7 + b*d**3*x*asin(c*x) + b*d**2*e*x**3*asin(c*x) + 3*b*d*e**2*x**5*asin(c*x)/5 + b*e**3*x**7*asin(c*x)/7 + b*d**3*sqrt(-c**2*x**2 + 1)/c + b*d**2*e*x**2*sqrt(-c**2*x**2 + 1)/(3*c) + 3*b*d*e**2*x**4*sqrt(-c**2*x**2 + 1)/(25*c) + b*e**3*x**6*sqrt(-c**2*x**2 + 1)/(49*c) + 2*b*d**2*e*sqrt(-c**2*x**2 + 1)/(3*c**3) + 4*b*d*e**2*x**2*sqrt(-c**2*x**2 + 1)/(25*c**3) + 6*b*e**3*x**4*sqrt(-c**2*x**2 + 1)/(245*c**3) + 8*b*d*e**2*sqrt(-c**2*x**2 + 1)/(25*c**5) + 8*b*e**3*x**2*sqrt(-c**2*x**2 + 1)/(245*c**5) + 16*b*e**3*sqrt(-c**2*x**2 + 1)/(245*c**7), Ne(c, 0)), (a*(d**3*x + d**2*e*x**3 + 3*d*e**2*x**5/5 + e**3*x**7/7), True))","A",0
619,0,0,0,0.000000," ","integrate((e*x**2+d)**3*(a+b*asin(c*x))/x,x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{3}}{x}\, dx"," ",0,"Integral((a + b*asin(c*x))*(d + e*x**2)**3/x, x)","F",0
620,1,272,0,7.827071," ","integrate((e*x**2+d)**3*(a+b*asin(c*x))/x**2,x)","- \frac{a d^{3}}{x} + 3 a d^{2} e x + a d e^{2} x^{3} + \frac{a e^{3} x^{5}}{5} + b c d^{3} \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{c x} \right)} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{c x} \right)} & \text{otherwise} \end{cases}\right) - b c d e^{2} \left(\begin{cases} - \frac{x^{2} \sqrt{- c^{2} x^{2} + 1}}{3 c^{2}} - \frac{2 \sqrt{- c^{2} x^{2} + 1}}{3 c^{4}} & \text{for}\: c \neq 0 \\\frac{x^{4}}{4} & \text{otherwise} \end{cases}\right) - \frac{b c e^{3} \left(\begin{cases} - \frac{x^{4} \sqrt{- c^{2} x^{2} + 1}}{5 c^{2}} - \frac{4 x^{2} \sqrt{- c^{2} x^{2} + 1}}{15 c^{4}} - \frac{8 \sqrt{- c^{2} x^{2} + 1}}{15 c^{6}} & \text{for}\: c \neq 0 \\\frac{x^{6}}{6} & \text{otherwise} \end{cases}\right)}{5} - \frac{b d^{3} \operatorname{asin}{\left(c x \right)}}{x} + 3 b d^{2} e \left(\begin{cases} 0 & \text{for}\: c = 0 \\x \operatorname{asin}{\left(c x \right)} + \frac{\sqrt{- c^{2} x^{2} + 1}}{c} & \text{otherwise} \end{cases}\right) + b d e^{2} x^{3} \operatorname{asin}{\left(c x \right)} + \frac{b e^{3} x^{5} \operatorname{asin}{\left(c x \right)}}{5}"," ",0,"-a*d**3/x + 3*a*d**2*e*x + a*d*e**2*x**3 + a*e**3*x**5/5 + b*c*d**3*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) - b*c*d*e**2*Piecewise((-x**2*sqrt(-c**2*x**2 + 1)/(3*c**2) - 2*sqrt(-c**2*x**2 + 1)/(3*c**4), Ne(c, 0)), (x**4/4, True)) - b*c*e**3*Piecewise((-x**4*sqrt(-c**2*x**2 + 1)/(5*c**2) - 4*x**2*sqrt(-c**2*x**2 + 1)/(15*c**4) - 8*sqrt(-c**2*x**2 + 1)/(15*c**6), Ne(c, 0)), (x**6/6, True))/5 - b*d**3*asin(c*x)/x + 3*b*d**2*e*Piecewise((0, Eq(c, 0)), (x*asin(c*x) + sqrt(-c**2*x**2 + 1)/c, True)) + b*d*e**2*x**3*asin(c*x) + b*e**3*x**5*asin(c*x)/5","A",0
621,0,0,0,0.000000," ","integrate((e*x**2+d)**3*(a+b*asin(c*x))/x**3,x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{3}}{x^{3}}\, dx"," ",0,"Integral((a + b*asin(c*x))*(d + e*x**2)**3/x**3, x)","F",0
622,1,311,0,8.731783," ","integrate((e*x**2+d)**3*(a+b*asin(c*x))/x**4,x)","- \frac{a d^{3}}{3 x^{3}} - \frac{3 a d^{2} e}{x} + 3 a d e^{2} x + \frac{a e^{3} x^{3}}{3} + \frac{b c d^{3} \left(\begin{cases} - \frac{c^{2} \operatorname{acosh}{\left(\frac{1}{c x} \right)}}{2} - \frac{c \sqrt{-1 + \frac{1}{c^{2} x^{2}}}}{2 x} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\\frac{i c^{2} \operatorname{asin}{\left(\frac{1}{c x} \right)}}{2} - \frac{i c}{2 x \sqrt{1 - \frac{1}{c^{2} x^{2}}}} + \frac{i}{2 c x^{3} \sqrt{1 - \frac{1}{c^{2} x^{2}}}} & \text{otherwise} \end{cases}\right)}{3} + 3 b c d^{2} e \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{c x} \right)} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{c x} \right)} & \text{otherwise} \end{cases}\right) - \frac{b c e^{3} \left(\begin{cases} - \frac{x^{2} \sqrt{- c^{2} x^{2} + 1}}{3 c^{2}} - \frac{2 \sqrt{- c^{2} x^{2} + 1}}{3 c^{4}} & \text{for}\: c \neq 0 \\\frac{x^{4}}{4} & \text{otherwise} \end{cases}\right)}{3} - \frac{b d^{3} \operatorname{asin}{\left(c x \right)}}{3 x^{3}} - \frac{3 b d^{2} e \operatorname{asin}{\left(c x \right)}}{x} + 3 b d e^{2} \left(\begin{cases} 0 & \text{for}\: c = 0 \\x \operatorname{asin}{\left(c x \right)} + \frac{\sqrt{- c^{2} x^{2} + 1}}{c} & \text{otherwise} \end{cases}\right) + \frac{b e^{3} x^{3} \operatorname{asin}{\left(c x \right)}}{3}"," ",0,"-a*d**3/(3*x**3) - 3*a*d**2*e/x + 3*a*d*e**2*x + a*e**3*x**3/3 + b*c*d**3*Piecewise((-c**2*acosh(1/(c*x))/2 - c*sqrt(-1 + 1/(c**2*x**2))/(2*x), 1/Abs(c**2*x**2) > 1), (I*c**2*asin(1/(c*x))/2 - I*c/(2*x*sqrt(1 - 1/(c**2*x**2))) + I/(2*c*x**3*sqrt(1 - 1/(c**2*x**2))), True))/3 + 3*b*c*d**2*e*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) - b*c*e**3*Piecewise((-x**2*sqrt(-c**2*x**2 + 1)/(3*c**2) - 2*sqrt(-c**2*x**2 + 1)/(3*c**4), Ne(c, 0)), (x**4/4, True))/3 - b*d**3*asin(c*x)/(3*x**3) - 3*b*d**2*e*asin(c*x)/x + 3*b*d*e**2*Piecewise((0, Eq(c, 0)), (x*asin(c*x) + sqrt(-c**2*x**2 + 1)/c, True)) + b*e**3*x**3*asin(c*x)/3","A",0
623,1,593,0,17.129532," ","integrate((e*x**2+d)**4*(a+b*asin(c*x)),x)","\begin{cases} a d^{4} x + \frac{4 a d^{3} e x^{3}}{3} + \frac{6 a d^{2} e^{2} x^{5}}{5} + \frac{4 a d e^{3} x^{7}}{7} + \frac{a e^{4} x^{9}}{9} + b d^{4} x \operatorname{asin}{\left(c x \right)} + \frac{4 b d^{3} e x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{6 b d^{2} e^{2} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{4 b d e^{3} x^{7} \operatorname{asin}{\left(c x \right)}}{7} + \frac{b e^{4} x^{9} \operatorname{asin}{\left(c x \right)}}{9} + \frac{b d^{4} \sqrt{- c^{2} x^{2} + 1}}{c} + \frac{4 b d^{3} e x^{2} \sqrt{- c^{2} x^{2} + 1}}{9 c} + \frac{6 b d^{2} e^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{25 c} + \frac{4 b d e^{3} x^{6} \sqrt{- c^{2} x^{2} + 1}}{49 c} + \frac{b e^{4} x^{8} \sqrt{- c^{2} x^{2} + 1}}{81 c} + \frac{8 b d^{3} e \sqrt{- c^{2} x^{2} + 1}}{9 c^{3}} + \frac{8 b d^{2} e^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{25 c^{3}} + \frac{24 b d e^{3} x^{4} \sqrt{- c^{2} x^{2} + 1}}{245 c^{3}} + \frac{8 b e^{4} x^{6} \sqrt{- c^{2} x^{2} + 1}}{567 c^{3}} + \frac{16 b d^{2} e^{2} \sqrt{- c^{2} x^{2} + 1}}{25 c^{5}} + \frac{32 b d e^{3} x^{2} \sqrt{- c^{2} x^{2} + 1}}{245 c^{5}} + \frac{16 b e^{4} x^{4} \sqrt{- c^{2} x^{2} + 1}}{945 c^{5}} + \frac{64 b d e^{3} \sqrt{- c^{2} x^{2} + 1}}{245 c^{7}} + \frac{64 b e^{4} x^{2} \sqrt{- c^{2} x^{2} + 1}}{2835 c^{7}} + \frac{128 b e^{4} \sqrt{- c^{2} x^{2} + 1}}{2835 c^{9}} & \text{for}\: c \neq 0 \\a \left(d^{4} x + \frac{4 d^{3} e x^{3}}{3} + \frac{6 d^{2} e^{2} x^{5}}{5} + \frac{4 d e^{3} x^{7}}{7} + \frac{e^{4} x^{9}}{9}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**4*x + 4*a*d**3*e*x**3/3 + 6*a*d**2*e**2*x**5/5 + 4*a*d*e**3*x**7/7 + a*e**4*x**9/9 + b*d**4*x*asin(c*x) + 4*b*d**3*e*x**3*asin(c*x)/3 + 6*b*d**2*e**2*x**5*asin(c*x)/5 + 4*b*d*e**3*x**7*asin(c*x)/7 + b*e**4*x**9*asin(c*x)/9 + b*d**4*sqrt(-c**2*x**2 + 1)/c + 4*b*d**3*e*x**2*sqrt(-c**2*x**2 + 1)/(9*c) + 6*b*d**2*e**2*x**4*sqrt(-c**2*x**2 + 1)/(25*c) + 4*b*d*e**3*x**6*sqrt(-c**2*x**2 + 1)/(49*c) + b*e**4*x**8*sqrt(-c**2*x**2 + 1)/(81*c) + 8*b*d**3*e*sqrt(-c**2*x**2 + 1)/(9*c**3) + 8*b*d**2*e**2*x**2*sqrt(-c**2*x**2 + 1)/(25*c**3) + 24*b*d*e**3*x**4*sqrt(-c**2*x**2 + 1)/(245*c**3) + 8*b*e**4*x**6*sqrt(-c**2*x**2 + 1)/(567*c**3) + 16*b*d**2*e**2*sqrt(-c**2*x**2 + 1)/(25*c**5) + 32*b*d*e**3*x**2*sqrt(-c**2*x**2 + 1)/(245*c**5) + 16*b*e**4*x**4*sqrt(-c**2*x**2 + 1)/(945*c**5) + 64*b*d*e**3*sqrt(-c**2*x**2 + 1)/(245*c**7) + 64*b*e**4*x**2*sqrt(-c**2*x**2 + 1)/(2835*c**7) + 128*b*e**4*sqrt(-c**2*x**2 + 1)/(2835*c**9), Ne(c, 0)), (a*(d**4*x + 4*d**3*e*x**3/3 + 6*d**2*e**2*x**5/5 + 4*d*e**3*x**7/7 + e**4*x**9/9), True))","A",0
624,0,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))/(e*x**2+d),x)","\int \frac{x^{4} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{d + e x^{2}}\, dx"," ",0,"Integral(x**4*(a + b*asin(c*x))/(d + e*x**2), x)","F",0
625,0,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))/(e*x**2+d),x)","\int \frac{x^{3} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{d + e x^{2}}\, dx"," ",0,"Integral(x**3*(a + b*asin(c*x))/(d + e*x**2), x)","F",0
626,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))/(e*x**2+d),x)","\int \frac{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{d + e x^{2}}\, dx"," ",0,"Integral(x**2*(a + b*asin(c*x))/(d + e*x**2), x)","F",0
627,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))/(e*x**2+d),x)","\int \frac{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{d + e x^{2}}\, dx"," ",0,"Integral(x*(a + b*asin(c*x))/(d + e*x**2), x)","F",0
628,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/(e*x**2+d),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{d + e x^{2}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(d + e*x**2), x)","F",0
629,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x/(e*x**2+d),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x \left(d + e x^{2}\right)}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x*(d + e*x**2)), x)","F",0
630,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**2/(e*x**2+d),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x^{2} \left(d + e x^{2}\right)}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x**2*(d + e*x**2)), x)","F",0
631,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**3/(e*x**2+d),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x^{3} \left(d + e x^{2}\right)}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x**3*(d + e*x**2)), x)","F",0
632,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**4/(e*x**2+d),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x^{4} \left(d + e x^{2}\right)}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x**4*(d + e*x**2)), x)","F",0
633,0,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))/(e*x**2+d)**2,x)","\int \frac{x^{3} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral(x**3*(a + b*asin(c*x))/(d + e*x**2)**2, x)","F",0
634,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))/(e*x**2+d)**2,x)","\int \frac{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral(x*(a + b*asin(c*x))/(d + e*x**2)**2, x)","F",0
635,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/x/(e*x**2+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
636,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**3/(e*x**2+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
637,0,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))/(e*x**2+d)**2,x)","\int \frac{x^{4} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral(x**4*(a + b*asin(c*x))/(d + e*x**2)**2, x)","F",0
638,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))/(e*x**2+d)**2,x)","\int \frac{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{\left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral(x**2*(a + b*asin(c*x))/(d + e*x**2)**2, x)","F",0
639,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/(e*x**2+d)**2,x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{\left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(d + e*x**2)**2, x)","F",0
640,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**2/(e*x**2+d)**2,x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x^{2} \left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(x**2*(d + e*x**2)**2), x)","F",0
641,-1,0,0,0.000000," ","integrate(x**5*(a+b*asin(c*x))/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
642,-1,0,0,0.000000," ","integrate(x**3*(a+b*asin(c*x))/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
643,-1,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
644,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/x/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
645,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/x**3/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
646,-1,0,0,0.000000," ","integrate(x**4*(a+b*asin(c*x))/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
647,-1,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
648,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
649,0,0,0,0.000000," ","integrate((e*x**2+d)**(1/2)*(a+b*asin(c*x)),x)","\int \left(a + b \operatorname{asin}{\left(c x \right)}\right) \sqrt{d + e x^{2}}\, dx"," ",0,"Integral((a + b*asin(c*x))*sqrt(d + e*x**2), x)","F",0
650,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/(e*x**2+d)**(1/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{\sqrt{d + e x^{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))/sqrt(d + e*x**2), x)","F",0
651,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/(e*x**2+d)**(3/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{\left(d + e x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(d + e*x**2)**(3/2), x)","F",0
652,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/(e*x**2+d)**(5/2),x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{\left(d + e x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))/(d + e*x**2)**(5/2), x)","F",0
653,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))/(e*x**2+d)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
654,0,0,0,0.000000," ","integrate((f*x)**m*(e*x**2+d)**3*(a+b*asin(c*x)),x)","\int \left(f x\right)^{m} \left(a + b \operatorname{asin}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{3}\, dx"," ",0,"Integral((f*x)**m*(a + b*asin(c*x))*(d + e*x**2)**3, x)","F",0
655,0,0,0,0.000000," ","integrate((f*x)**m*(e*x**2+d)**2*(a+b*asin(c*x)),x)","\int \left(f x\right)^{m} \left(a + b \operatorname{asin}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{2}\, dx"," ",0,"Integral((f*x)**m*(a + b*asin(c*x))*(d + e*x**2)**2, x)","F",0
656,0,0,0,0.000000," ","integrate((f*x)**m*(e*x**2+d)*(a+b*asin(c*x)),x)","\int \left(f x\right)^{m} \left(a + b \operatorname{asin}{\left(c x \right)}\right) \left(d + e x^{2}\right)\, dx"," ",0,"Integral((f*x)**m*(a + b*asin(c*x))*(d + e*x**2), x)","F",0
657,0,0,0,0.000000," ","integrate((f*x)**m*(a+b*asin(c*x))/(e*x**2+d),x)","\int \frac{\left(f x\right)^{m} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}{d + e x^{2}}\, dx"," ",0,"Integral((f*x)**m*(a + b*asin(c*x))/(d + e*x**2), x)","F",0
658,-1,0,0,0.000000," ","integrate((f*x)**m*(a+b*asin(c*x))/(e*x**2+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
659,1,989,0,12.764484," ","integrate((e*x**2+d)**3*(a+b*asin(c*x))**2,x)","\begin{cases} a^{2} d^{3} x + a^{2} d^{2} e x^{3} + \frac{3 a^{2} d e^{2} x^{5}}{5} + \frac{a^{2} e^{3} x^{7}}{7} + 2 a b d^{3} x \operatorname{asin}{\left(c x \right)} + 2 a b d^{2} e x^{3} \operatorname{asin}{\left(c x \right)} + \frac{6 a b d e^{2} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{2 a b e^{3} x^{7} \operatorname{asin}{\left(c x \right)}}{7} + \frac{2 a b d^{3} \sqrt{- c^{2} x^{2} + 1}}{c} + \frac{2 a b d^{2} e x^{2} \sqrt{- c^{2} x^{2} + 1}}{3 c} + \frac{6 a b d e^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{25 c} + \frac{2 a b e^{3} x^{6} \sqrt{- c^{2} x^{2} + 1}}{49 c} + \frac{4 a b d^{2} e \sqrt{- c^{2} x^{2} + 1}}{3 c^{3}} + \frac{8 a b d e^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{25 c^{3}} + \frac{12 a b e^{3} x^{4} \sqrt{- c^{2} x^{2} + 1}}{245 c^{3}} + \frac{16 a b d e^{2} \sqrt{- c^{2} x^{2} + 1}}{25 c^{5}} + \frac{16 a b e^{3} x^{2} \sqrt{- c^{2} x^{2} + 1}}{245 c^{5}} + \frac{32 a b e^{3} \sqrt{- c^{2} x^{2} + 1}}{245 c^{7}} + b^{2} d^{3} x \operatorname{asin}^{2}{\left(c x \right)} - 2 b^{2} d^{3} x + b^{2} d^{2} e x^{3} \operatorname{asin}^{2}{\left(c x \right)} - \frac{2 b^{2} d^{2} e x^{3}}{9} + \frac{3 b^{2} d e^{2} x^{5} \operatorname{asin}^{2}{\left(c x \right)}}{5} - \frac{6 b^{2} d e^{2} x^{5}}{125} + \frac{b^{2} e^{3} x^{7} \operatorname{asin}^{2}{\left(c x \right)}}{7} - \frac{2 b^{2} e^{3} x^{7}}{343} + \frac{2 b^{2} d^{3} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{c} + \frac{2 b^{2} d^{2} e x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{3 c} + \frac{6 b^{2} d e^{2} x^{4} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{25 c} + \frac{2 b^{2} e^{3} x^{6} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{49 c} - \frac{4 b^{2} d^{2} e x}{3 c^{2}} - \frac{8 b^{2} d e^{2} x^{3}}{75 c^{2}} - \frac{12 b^{2} e^{3} x^{5}}{1225 c^{2}} + \frac{4 b^{2} d^{2} e \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{3 c^{3}} + \frac{8 b^{2} d e^{2} x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{25 c^{3}} + \frac{12 b^{2} e^{3} x^{4} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{245 c^{3}} - \frac{16 b^{2} d e^{2} x}{25 c^{4}} - \frac{16 b^{2} e^{3} x^{3}}{735 c^{4}} + \frac{16 b^{2} d e^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{25 c^{5}} + \frac{16 b^{2} e^{3} x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{245 c^{5}} - \frac{32 b^{2} e^{3} x}{245 c^{6}} + \frac{32 b^{2} e^{3} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{245 c^{7}} & \text{for}\: c \neq 0 \\a^{2} \left(d^{3} x + d^{2} e x^{3} + \frac{3 d e^{2} x^{5}}{5} + \frac{e^{3} x^{7}}{7}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*d**3*x + a**2*d**2*e*x**3 + 3*a**2*d*e**2*x**5/5 + a**2*e**3*x**7/7 + 2*a*b*d**3*x*asin(c*x) + 2*a*b*d**2*e*x**3*asin(c*x) + 6*a*b*d*e**2*x**5*asin(c*x)/5 + 2*a*b*e**3*x**7*asin(c*x)/7 + 2*a*b*d**3*sqrt(-c**2*x**2 + 1)/c + 2*a*b*d**2*e*x**2*sqrt(-c**2*x**2 + 1)/(3*c) + 6*a*b*d*e**2*x**4*sqrt(-c**2*x**2 + 1)/(25*c) + 2*a*b*e**3*x**6*sqrt(-c**2*x**2 + 1)/(49*c) + 4*a*b*d**2*e*sqrt(-c**2*x**2 + 1)/(3*c**3) + 8*a*b*d*e**2*x**2*sqrt(-c**2*x**2 + 1)/(25*c**3) + 12*a*b*e**3*x**4*sqrt(-c**2*x**2 + 1)/(245*c**3) + 16*a*b*d*e**2*sqrt(-c**2*x**2 + 1)/(25*c**5) + 16*a*b*e**3*x**2*sqrt(-c**2*x**2 + 1)/(245*c**5) + 32*a*b*e**3*sqrt(-c**2*x**2 + 1)/(245*c**7) + b**2*d**3*x*asin(c*x)**2 - 2*b**2*d**3*x + b**2*d**2*e*x**3*asin(c*x)**2 - 2*b**2*d**2*e*x**3/9 + 3*b**2*d*e**2*x**5*asin(c*x)**2/5 - 6*b**2*d*e**2*x**5/125 + b**2*e**3*x**7*asin(c*x)**2/7 - 2*b**2*e**3*x**7/343 + 2*b**2*d**3*sqrt(-c**2*x**2 + 1)*asin(c*x)/c + 2*b**2*d**2*e*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(3*c) + 6*b**2*d*e**2*x**4*sqrt(-c**2*x**2 + 1)*asin(c*x)/(25*c) + 2*b**2*e**3*x**6*sqrt(-c**2*x**2 + 1)*asin(c*x)/(49*c) - 4*b**2*d**2*e*x/(3*c**2) - 8*b**2*d*e**2*x**3/(75*c**2) - 12*b**2*e**3*x**5/(1225*c**2) + 4*b**2*d**2*e*sqrt(-c**2*x**2 + 1)*asin(c*x)/(3*c**3) + 8*b**2*d*e**2*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(25*c**3) + 12*b**2*e**3*x**4*sqrt(-c**2*x**2 + 1)*asin(c*x)/(245*c**3) - 16*b**2*d*e**2*x/(25*c**4) - 16*b**2*e**3*x**3/(735*c**4) + 16*b**2*d*e**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(25*c**5) + 16*b**2*e**3*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(245*c**5) - 32*b**2*e**3*x/(245*c**6) + 32*b**2*e**3*sqrt(-c**2*x**2 + 1)*asin(c*x)/(245*c**7), Ne(c, 0)), (a**2*(d**3*x + d**2*e*x**3 + 3*d*e**2*x**5/5 + e**3*x**7/7), True))","A",0
660,1,595,0,4.613829," ","integrate((e*x**2+d)**2*(a+b*asin(c*x))**2,x)","\begin{cases} a^{2} d^{2} x + \frac{2 a^{2} d e x^{3}}{3} + \frac{a^{2} e^{2} x^{5}}{5} + 2 a b d^{2} x \operatorname{asin}{\left(c x \right)} + \frac{4 a b d e x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{2 a b e^{2} x^{5} \operatorname{asin}{\left(c x \right)}}{5} + \frac{2 a b d^{2} \sqrt{- c^{2} x^{2} + 1}}{c} + \frac{4 a b d e x^{2} \sqrt{- c^{2} x^{2} + 1}}{9 c} + \frac{2 a b e^{2} x^{4} \sqrt{- c^{2} x^{2} + 1}}{25 c} + \frac{8 a b d e \sqrt{- c^{2} x^{2} + 1}}{9 c^{3}} + \frac{8 a b e^{2} x^{2} \sqrt{- c^{2} x^{2} + 1}}{75 c^{3}} + \frac{16 a b e^{2} \sqrt{- c^{2} x^{2} + 1}}{75 c^{5}} + b^{2} d^{2} x \operatorname{asin}^{2}{\left(c x \right)} - 2 b^{2} d^{2} x + \frac{2 b^{2} d e x^{3} \operatorname{asin}^{2}{\left(c x \right)}}{3} - \frac{4 b^{2} d e x^{3}}{27} + \frac{b^{2} e^{2} x^{5} \operatorname{asin}^{2}{\left(c x \right)}}{5} - \frac{2 b^{2} e^{2} x^{5}}{125} + \frac{2 b^{2} d^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{c} + \frac{4 b^{2} d e x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{9 c} + \frac{2 b^{2} e^{2} x^{4} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{25 c} - \frac{8 b^{2} d e x}{9 c^{2}} - \frac{8 b^{2} e^{2} x^{3}}{225 c^{2}} + \frac{8 b^{2} d e \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{9 c^{3}} + \frac{8 b^{2} e^{2} x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{75 c^{3}} - \frac{16 b^{2} e^{2} x}{75 c^{4}} + \frac{16 b^{2} e^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{75 c^{5}} & \text{for}\: c \neq 0 \\a^{2} \left(d^{2} x + \frac{2 d e x^{3}}{3} + \frac{e^{2} x^{5}}{5}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*d**2*x + 2*a**2*d*e*x**3/3 + a**2*e**2*x**5/5 + 2*a*b*d**2*x*asin(c*x) + 4*a*b*d*e*x**3*asin(c*x)/3 + 2*a*b*e**2*x**5*asin(c*x)/5 + 2*a*b*d**2*sqrt(-c**2*x**2 + 1)/c + 4*a*b*d*e*x**2*sqrt(-c**2*x**2 + 1)/(9*c) + 2*a*b*e**2*x**4*sqrt(-c**2*x**2 + 1)/(25*c) + 8*a*b*d*e*sqrt(-c**2*x**2 + 1)/(9*c**3) + 8*a*b*e**2*x**2*sqrt(-c**2*x**2 + 1)/(75*c**3) + 16*a*b*e**2*sqrt(-c**2*x**2 + 1)/(75*c**5) + b**2*d**2*x*asin(c*x)**2 - 2*b**2*d**2*x + 2*b**2*d*e*x**3*asin(c*x)**2/3 - 4*b**2*d*e*x**3/27 + b**2*e**2*x**5*asin(c*x)**2/5 - 2*b**2*e**2*x**5/125 + 2*b**2*d**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/c + 4*b**2*d*e*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(9*c) + 2*b**2*e**2*x**4*sqrt(-c**2*x**2 + 1)*asin(c*x)/(25*c) - 8*b**2*d*e*x/(9*c**2) - 8*b**2*e**2*x**3/(225*c**2) + 8*b**2*d*e*sqrt(-c**2*x**2 + 1)*asin(c*x)/(9*c**3) + 8*b**2*e**2*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(75*c**3) - 16*b**2*e**2*x/(75*c**4) + 16*b**2*e**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(75*c**5), Ne(c, 0)), (a**2*(d**2*x + 2*d*e*x**3/3 + e**2*x**5/5), True))","A",0
661,1,279,0,1.272361," ","integrate((e*x**2+d)*(a+b*asin(c*x))**2,x)","\begin{cases} a^{2} d x + \frac{a^{2} e x^{3}}{3} + 2 a b d x \operatorname{asin}{\left(c x \right)} + \frac{2 a b e x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{2 a b d \sqrt{- c^{2} x^{2} + 1}}{c} + \frac{2 a b e x^{2} \sqrt{- c^{2} x^{2} + 1}}{9 c} + \frac{4 a b e \sqrt{- c^{2} x^{2} + 1}}{9 c^{3}} + b^{2} d x \operatorname{asin}^{2}{\left(c x \right)} - 2 b^{2} d x + \frac{b^{2} e x^{3} \operatorname{asin}^{2}{\left(c x \right)}}{3} - \frac{2 b^{2} e x^{3}}{27} + \frac{2 b^{2} d \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{c} + \frac{2 b^{2} e x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{9 c} - \frac{4 b^{2} e x}{9 c^{2}} + \frac{4 b^{2} e \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{9 c^{3}} & \text{for}\: c \neq 0 \\a^{2} \left(d x + \frac{e x^{3}}{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*d*x + a**2*e*x**3/3 + 2*a*b*d*x*asin(c*x) + 2*a*b*e*x**3*asin(c*x)/3 + 2*a*b*d*sqrt(-c**2*x**2 + 1)/c + 2*a*b*e*x**2*sqrt(-c**2*x**2 + 1)/(9*c) + 4*a*b*e*sqrt(-c**2*x**2 + 1)/(9*c**3) + b**2*d*x*asin(c*x)**2 - 2*b**2*d*x + b**2*e*x**3*asin(c*x)**2/3 - 2*b**2*e*x**3/27 + 2*b**2*d*sqrt(-c**2*x**2 + 1)*asin(c*x)/c + 2*b**2*e*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(9*c) - 4*b**2*e*x/(9*c**2) + 4*b**2*e*sqrt(-c**2*x**2 + 1)*asin(c*x)/(9*c**3), Ne(c, 0)), (a**2*(d*x + e*x**3/3), True))","A",0
662,1,82,0,0.249967," ","integrate((a+b*asin(c*x))**2,x)","\begin{cases} a^{2} x + 2 a b x \operatorname{asin}{\left(c x \right)} + \frac{2 a b \sqrt{- c^{2} x^{2} + 1}}{c} + b^{2} x \operatorname{asin}^{2}{\left(c x \right)} - 2 b^{2} x + \frac{2 b^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{c} & \text{for}\: c \neq 0 \\a^{2} x & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x + 2*a*b*x*asin(c*x) + 2*a*b*sqrt(-c**2*x**2 + 1)/c + b**2*x*asin(c*x)**2 - 2*b**2*x + 2*b**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/c, Ne(c, 0)), (a**2*x, True))","A",0
663,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(e*x**2+d),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{d + e x^{2}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(d + e*x**2), x)","F",0
664,0,0,0,0.000000," ","integrate((e*x**2+d)**(1/2)*(a+b*asin(c*x))**2,x)","\int \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2} \sqrt{d + e x^{2}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2*sqrt(d + e*x**2), x)","F",0
665,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(e*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\sqrt{d + e x^{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/sqrt(d + e*x**2), x)","F",0
666,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(e*x**2+d)**(3/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(d + e x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(d + e*x**2)**(3/2), x)","F",0
667,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(e*x**2+d)**(5/2),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{\left(d + e x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/(d + e*x**2)**(5/2), x)","F",0
668,0,0,0,0.000000," ","integrate((e*x**2+d)**2/(a+b*asin(c*x)),x)","\int \frac{\left(d + e x^{2}\right)^{2}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral((d + e*x**2)**2/(a + b*asin(c*x)), x)","F",0
669,0,0,0,0.000000," ","integrate((e*x**2+d)/(a+b*asin(c*x)),x)","\int \frac{d + e x^{2}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral((d + e*x**2)/(a + b*asin(c*x)), x)","F",0
670,0,0,0,0.000000," ","integrate(1/(a+b*asin(c*x)),x)","\int \frac{1}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(1/(a + b*asin(c*x)), x)","F",0
671,0,0,0,0.000000," ","integrate(1/(e*x**2+d)/(a+b*asin(c*x)),x)","\int \frac{1}{\left(a + b \operatorname{asin}{\left(c x \right)}\right) \left(d + e x^{2}\right)}\, dx"," ",0,"Integral(1/((a + b*asin(c*x))*(d + e*x**2)), x)","F",0
672,-1,0,0,0.000000," ","integrate(1/(e*x**2+d)**2/(a+b*asin(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
673,0,0,0,0.000000," ","integrate((e*x**2+d)**(1/2)/(a+b*asin(c*x)),x)","\int \frac{\sqrt{d + e x^{2}}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(sqrt(d + e*x**2)/(a + b*asin(c*x)), x)","F",0
674,0,0,0,0.000000," ","integrate(1/(e*x**2+d)**(1/2)/(a+b*asin(c*x)),x)","\int \frac{1}{\left(a + b \operatorname{asin}{\left(c x \right)}\right) \sqrt{d + e x^{2}}}\, dx"," ",0,"Integral(1/((a + b*asin(c*x))*sqrt(d + e*x**2)), x)","F",0
675,0,0,0,0.000000," ","integrate(1/(e*x**2+d)**(3/2)/(a+b*asin(c*x)),x)","\int \frac{1}{\left(a + b \operatorname{asin}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((a + b*asin(c*x))*(d + e*x**2)**(3/2)), x)","F",0
676,0,0,0,0.000000," ","integrate(1/(e*x**2+d)**(5/2)/(a+b*asin(c*x)),x)","\int \frac{1}{\left(a + b \operatorname{asin}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/((a + b*asin(c*x))*(d + e*x**2)**(5/2)), x)","F",0
677,0,0,0,0.000000," ","integrate((e*x**2+d)**2/(a+b*asin(c*x))**2,x)","\int \frac{\left(d + e x^{2}\right)^{2}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((d + e*x**2)**2/(a + b*asin(c*x))**2, x)","F",0
678,0,0,0,0.000000," ","integrate((e*x**2+d)/(a+b*asin(c*x))**2,x)","\int \frac{d + e x^{2}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((d + e*x**2)/(a + b*asin(c*x))**2, x)","F",0
679,0,0,0,0.000000," ","integrate(1/(a+b*asin(c*x))**2,x)","\int \frac{1}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*asin(c*x))**(-2), x)","F",0
680,0,0,0,0.000000," ","integrate(1/(e*x**2+d)/(a+b*asin(c*x))**2,x)","\int \frac{1}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2} \left(d + e x^{2}\right)}\, dx"," ",0,"Integral(1/((a + b*asin(c*x))**2*(d + e*x**2)), x)","F",0
681,-1,0,0,0.000000," ","integrate(1/(e*x**2+d)**2/(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
682,0,0,0,0.000000," ","integrate((e*x**2+d)**(1/2)/(a+b*asin(c*x))**2,x)","\int \frac{\sqrt{d + e x^{2}}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(d + e*x**2)/(a + b*asin(c*x))**2, x)","F",0
683,0,0,0,0.000000," ","integrate(1/(e*x**2+d)**(1/2)/(a+b*asin(c*x))**2,x)","\int \frac{1}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2} \sqrt{d + e x^{2}}}\, dx"," ",0,"Integral(1/((a + b*asin(c*x))**2*sqrt(d + e*x**2)), x)","F",0
684,0,0,0,0.000000," ","integrate(1/(e*x**2+d)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{1}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2} \left(d + e x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((a + b*asin(c*x))**2*(d + e*x**2)**(3/2)), x)","F",0
685,0,0,0,0.000000," ","integrate(1/(e*x**2+d)**(5/2)/(a+b*asin(c*x))**2,x)","\int \frac{1}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2} \left(d + e x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/((a + b*asin(c*x))**2*(d + e*x**2)**(5/2)), x)","F",0
686,0,0,0,0.000000," ","integrate((e*x**2+d)**2*(a+b*asin(c*x))**(1/2),x)","\int \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \left(d + e x^{2}\right)^{2}\, dx"," ",0,"Integral(sqrt(a + b*asin(c*x))*(d + e*x**2)**2, x)","F",0
687,0,0,0,0.000000," ","integrate((e*x**2+d)*(a+b*asin(c*x))**(1/2),x)","\int \sqrt{a + b \operatorname{asin}{\left(c x \right)}} \left(d + e x^{2}\right)\, dx"," ",0,"Integral(sqrt(a + b*asin(c*x))*(d + e*x**2), x)","F",0
688,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**(1/2),x)","\int \sqrt{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*asin(c*x)), x)","F",0
689,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**(1/2)/(e*x**2+d),x)","\int \frac{\sqrt{a + b \operatorname{asin}{\left(c x \right)}}}{d + e x^{2}}\, dx"," ",0,"Integral(sqrt(a + b*asin(c*x))/(d + e*x**2), x)","F",0
690,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**(1/2)/(e*x**2+d)**2,x)","\int \frac{\sqrt{a + b \operatorname{asin}{\left(c x \right)}}}{\left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral(sqrt(a + b*asin(c*x))/(d + e*x**2)**2, x)","F",0
691,0,0,0,0.000000," ","integrate((e*x**2+d)*(a+b*asin(c*x))**(3/2),x)","\int \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{3}{2}} \left(d + e x^{2}\right)\, dx"," ",0,"Integral((a + b*asin(c*x))**(3/2)*(d + e*x**2), x)","F",0
692,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**(3/2),x)","\int \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*asin(c*x))**(3/2), x)","F",0
693,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**(3/2)/(e*x**2+d),x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{3}{2}}}{d + e x^{2}}\, dx"," ",0,"Integral((a + b*asin(c*x))**(3/2)/(d + e*x**2), x)","F",0
694,-1,0,0,0.000000," ","integrate((a+b*asin(c*x))**(3/2)/(e*x**2+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
695,0,0,0,0.000000," ","integrate((e*x**2+d)**2/(a+b*asin(c*x))**(1/2),x)","\int \frac{\left(d + e x^{2}\right)^{2}}{\sqrt{a + b \operatorname{asin}{\left(c x \right)}}}\, dx"," ",0,"Integral((d + e*x**2)**2/sqrt(a + b*asin(c*x)), x)","F",0
696,0,0,0,0.000000," ","integrate((e*x**2+d)/(a+b*asin(c*x))**(1/2),x)","\int \frac{d + e x^{2}}{\sqrt{a + b \operatorname{asin}{\left(c x \right)}}}\, dx"," ",0,"Integral((d + e*x**2)/sqrt(a + b*asin(c*x)), x)","F",0
697,0,0,0,0.000000," ","integrate(1/(a+b*asin(c*x))**(1/2),x)","\int \frac{1}{\sqrt{a + b \operatorname{asin}{\left(c x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*asin(c*x)), x)","F",0
698,0,0,0,0.000000," ","integrate(1/(e*x**2+d)/(a+b*asin(c*x))**(1/2),x)","\int \frac{1}{\sqrt{a + b \operatorname{asin}{\left(c x \right)}} \left(d + e x^{2}\right)}\, dx"," ",0,"Integral(1/(sqrt(a + b*asin(c*x))*(d + e*x**2)), x)","F",0
699,0,0,0,0.000000," ","integrate(1/(e*x**2+d)**2/(a+b*asin(c*x))**(1/2),x)","\int \frac{1}{\sqrt{a + b \operatorname{asin}{\left(c x \right)}} \left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral(1/(sqrt(a + b*asin(c*x))*(d + e*x**2)**2), x)","F",0
700,0,0,0,0.000000," ","integrate((e*x**2+d)/(a+b*asin(c*x))**(3/2),x)","\int \frac{d + e x^{2}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((d + e*x**2)/(a + b*asin(c*x))**(3/2), x)","F",0
701,0,0,0,0.000000," ","integrate(1/(a+b*asin(c*x))**(3/2),x)","\int \frac{1}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))**(-3/2), x)","F",0
702,0,0,0,0.000000," ","integrate(1/(e*x**2+d)/(a+b*asin(c*x))**(3/2),x)","\int \frac{1}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{3}{2}} \left(d + e x^{2}\right)}\, dx"," ",0,"Integral(1/((a + b*asin(c*x))**(3/2)*(d + e*x**2)), x)","F",0
703,-1,0,0,0.000000," ","integrate(1/(e*x**2+d)**2/(a+b*asin(c*x))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
