1,1,70,0,1.724637," ","integrate(x**4*asin(a*x),x)","\begin{cases} \frac{x^{5} \operatorname{asin}{\left(a x \right)}}{5} + \frac{x^{4} \sqrt{- a^{2} x^{2} + 1}}{25 a} + \frac{4 x^{2} \sqrt{- a^{2} x^{2} + 1}}{75 a^{3}} + \frac{8 \sqrt{- a^{2} x^{2} + 1}}{75 a^{5}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*asin(a*x)/5 + x**4*sqrt(-a**2*x**2 + 1)/(25*a) + 4*x**2*sqrt(-a**2*x**2 + 1)/(75*a**3) + 8*sqrt(-a**2*x**2 + 1)/(75*a**5), Ne(a, 0)), (0, True))","A",0
2,1,61,0,0.862007," ","integrate(x**3*asin(a*x),x)","\begin{cases} \frac{x^{4} \operatorname{asin}{\left(a x \right)}}{4} + \frac{x^{3} \sqrt{- a^{2} x^{2} + 1}}{16 a} + \frac{3 x \sqrt{- a^{2} x^{2} + 1}}{32 a^{3}} - \frac{3 \operatorname{asin}{\left(a x \right)}}{32 a^{4}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*asin(a*x)/4 + x**3*sqrt(-a**2*x**2 + 1)/(16*a) + 3*x*sqrt(-a**2*x**2 + 1)/(32*a**3) - 3*asin(a*x)/(32*a**4), Ne(a, 0)), (0, True))","A",0
3,1,48,0,0.440329," ","integrate(x**2*asin(a*x),x)","\begin{cases} \frac{x^{3} \operatorname{asin}{\left(a x \right)}}{3} + \frac{x^{2} \sqrt{- a^{2} x^{2} + 1}}{9 a} + \frac{2 \sqrt{- a^{2} x^{2} + 1}}{9 a^{3}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*asin(a*x)/3 + x**2*sqrt(-a**2*x**2 + 1)/(9*a) + 2*sqrt(-a**2*x**2 + 1)/(9*a**3), Ne(a, 0)), (0, True))","A",0
4,1,37,0,0.189976," ","integrate(x*asin(a*x),x)","\begin{cases} \frac{x^{2} \operatorname{asin}{\left(a x \right)}}{2} + \frac{x \sqrt{- a^{2} x^{2} + 1}}{4 a} - \frac{\operatorname{asin}{\left(a x \right)}}{4 a^{2}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*asin(a*x)/2 + x*sqrt(-a**2*x**2 + 1)/(4*a) - asin(a*x)/(4*a**2), Ne(a, 0)), (0, True))","A",0
5,1,20,0,0.121490," ","integrate(asin(a*x),x)","\begin{cases} x \operatorname{asin}{\left(a x \right)} + \frac{\sqrt{- a^{2} x^{2} + 1}}{a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*asin(a*x) + sqrt(-a**2*x**2 + 1)/a, Ne(a, 0)), (0, True))","A",0
6,0,0,0,0.000000," ","integrate(asin(a*x)/x,x)","\int \frac{\operatorname{asin}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(asin(a*x)/x, x)","F",0
7,1,32,0,1.442617," ","integrate(asin(a*x)/x**2,x)","a \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{a x} \right)} & \text{for}\: \frac{1}{\left|{a^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{a x} \right)} & \text{otherwise} \end{cases}\right) - \frac{\operatorname{asin}{\left(a x \right)}}{x}"," ",0,"a*Piecewise((-acosh(1/(a*x)), 1/Abs(a**2*x**2) > 1), (I*asin(1/(a*x)), True)) - asin(a*x)/x","C",0
8,1,51,0,1.141231," ","integrate(asin(a*x)/x**3,x)","\frac{a \left(\begin{cases} - \frac{i \sqrt{a^{2} x^{2} - 1}}{x} & \text{for}\: \left|{a^{2} x^{2}}\right| > 1 \\- \frac{\sqrt{- a^{2} x^{2} + 1}}{x} & \text{otherwise} \end{cases}\right)}{2} - \frac{\operatorname{asin}{\left(a x \right)}}{2 x^{2}}"," ",0,"a*Piecewise((-I*sqrt(a**2*x**2 - 1)/x, Abs(a**2*x**2) > 1), (-sqrt(-a**2*x**2 + 1)/x, True))/2 - asin(a*x)/(2*x**2)","C",0
9,1,109,0,2.328222," ","integrate(asin(a*x)/x**4,x)","\frac{a \left(\begin{cases} - \frac{a^{2} \operatorname{acosh}{\left(\frac{1}{a x} \right)}}{2} - \frac{a \sqrt{-1 + \frac{1}{a^{2} x^{2}}}}{2 x} & \text{for}\: \frac{1}{\left|{a^{2} x^{2}}\right|} > 1 \\\frac{i a^{2} \operatorname{asin}{\left(\frac{1}{a x} \right)}}{2} - \frac{i a}{2 x \sqrt{1 - \frac{1}{a^{2} x^{2}}}} + \frac{i}{2 a x^{3} \sqrt{1 - \frac{1}{a^{2} x^{2}}}} & \text{otherwise} \end{cases}\right)}{3} - \frac{\operatorname{asin}{\left(a x \right)}}{3 x^{3}}"," ",0,"a*Piecewise((-a**2*acosh(1/(a*x))/2 - a*sqrt(-1 + 1/(a**2*x**2))/(2*x), 1/Abs(a**2*x**2) > 1), (I*a**2*asin(1/(a*x))/2 - I*a/(2*x*sqrt(1 - 1/(a**2*x**2))) + I/(2*a*x**3*sqrt(1 - 1/(a**2*x**2))), True))/3 - asin(a*x)/(3*x**3)","A",0
10,1,100,0,1.728482," ","integrate(asin(a*x)/x**5,x)","\frac{a \left(\begin{cases} - \frac{2 i a^{2} \sqrt{a^{2} x^{2} - 1}}{3 x} - \frac{i \sqrt{a^{2} x^{2} - 1}}{3 x^{3}} & \text{for}\: \left|{a^{2} x^{2}}\right| > 1 \\- \frac{2 a^{2} \sqrt{- a^{2} x^{2} + 1}}{3 x} - \frac{\sqrt{- a^{2} x^{2} + 1}}{3 x^{3}} & \text{otherwise} \end{cases}\right)}{4} - \frac{\operatorname{asin}{\left(a x \right)}}{4 x^{4}}"," ",0,"a*Piecewise((-2*I*a**2*sqrt(a**2*x**2 - 1)/(3*x) - I*sqrt(a**2*x**2 - 1)/(3*x**3), Abs(a**2*x**2) > 1), (-2*a**2*sqrt(-a**2*x**2 + 1)/(3*x) - sqrt(-a**2*x**2 + 1)/(3*x**3), True))/4 - asin(a*x)/(4*x**4)","A",0
11,1,182,0,4.234662," ","integrate(asin(a*x)/x**6,x)","\frac{a \left(\begin{cases} - \frac{3 a^{4} \operatorname{acosh}{\left(\frac{1}{a x} \right)}}{8} + \frac{3 a^{3}}{8 x \sqrt{-1 + \frac{1}{a^{2} x^{2}}}} - \frac{a}{8 x^{3} \sqrt{-1 + \frac{1}{a^{2} x^{2}}}} - \frac{1}{4 a x^{5} \sqrt{-1 + \frac{1}{a^{2} x^{2}}}} & \text{for}\: \frac{1}{\left|{a^{2} x^{2}}\right|} > 1 \\\frac{3 i a^{4} \operatorname{asin}{\left(\frac{1}{a x} \right)}}{8} - \frac{3 i a^{3}}{8 x \sqrt{1 - \frac{1}{a^{2} x^{2}}}} + \frac{i a}{8 x^{3} \sqrt{1 - \frac{1}{a^{2} x^{2}}}} + \frac{i}{4 a x^{5} \sqrt{1 - \frac{1}{a^{2} x^{2}}}} & \text{otherwise} \end{cases}\right)}{5} - \frac{\operatorname{asin}{\left(a x \right)}}{5 x^{5}}"," ",0,"a*Piecewise((-3*a**4*acosh(1/(a*x))/8 + 3*a**3/(8*x*sqrt(-1 + 1/(a**2*x**2))) - a/(8*x**3*sqrt(-1 + 1/(a**2*x**2))) - 1/(4*a*x**5*sqrt(-1 + 1/(a**2*x**2))), 1/Abs(a**2*x**2) > 1), (3*I*a**4*asin(1/(a*x))/8 - 3*I*a**3/(8*x*sqrt(1 - 1/(a**2*x**2))) + I*a/(8*x**3*sqrt(1 - 1/(a**2*x**2))) + I/(4*a*x**5*sqrt(1 - 1/(a**2*x**2))), True))/5 - asin(a*x)/(5*x**5)","A",0
12,1,114,0,3.140080," ","integrate(x**4*asin(a*x)**2,x)","\begin{cases} \frac{x^{5} \operatorname{asin}^{2}{\left(a x \right)}}{5} - \frac{2 x^{5}}{125} + \frac{2 x^{4} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{25 a} - \frac{8 x^{3}}{225 a^{2}} + \frac{8 x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{75 a^{3}} - \frac{16 x}{75 a^{4}} + \frac{16 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{75 a^{5}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*asin(a*x)**2/5 - 2*x**5/125 + 2*x**4*sqrt(-a**2*x**2 + 1)*asin(a*x)/(25*a) - 8*x**3/(225*a**2) + 8*x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)/(75*a**3) - 16*x/(75*a**4) + 16*sqrt(-a**2*x**2 + 1)*asin(a*x)/(75*a**5), Ne(a, 0)), (0, True))","A",0
13,1,90,0,1.846663," ","integrate(x**3*asin(a*x)**2,x)","\begin{cases} \frac{x^{4} \operatorname{asin}^{2}{\left(a x \right)}}{4} - \frac{x^{4}}{32} + \frac{x^{3} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{8 a} - \frac{3 x^{2}}{32 a^{2}} + \frac{3 x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{16 a^{3}} - \frac{3 \operatorname{asin}^{2}{\left(a x \right)}}{32 a^{4}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*asin(a*x)**2/4 - x**4/32 + x**3*sqrt(-a**2*x**2 + 1)*asin(a*x)/(8*a) - 3*x**2/(32*a**2) + 3*x*sqrt(-a**2*x**2 + 1)*asin(a*x)/(16*a**3) - 3*asin(a*x)**2/(32*a**4), Ne(a, 0)), (0, True))","A",0
14,1,76,0,0.888181," ","integrate(x**2*asin(a*x)**2,x)","\begin{cases} \frac{x^{3} \operatorname{asin}^{2}{\left(a x \right)}}{3} - \frac{2 x^{3}}{27} + \frac{2 x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{9 a} - \frac{4 x}{9 a^{2}} + \frac{4 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{9 a^{3}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*asin(a*x)**2/3 - 2*x**3/27 + 2*x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)/(9*a) - 4*x/(9*a**2) + 4*sqrt(-a**2*x**2 + 1)*asin(a*x)/(9*a**3), Ne(a, 0)), (0, True))","A",0
15,1,51,0,0.446133," ","integrate(x*asin(a*x)**2,x)","\begin{cases} \frac{x^{2} \operatorname{asin}^{2}{\left(a x \right)}}{2} - \frac{x^{2}}{4} + \frac{x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{2 a} - \frac{\operatorname{asin}^{2}{\left(a x \right)}}{4 a^{2}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*asin(a*x)**2/2 - x**2/4 + x*sqrt(-a**2*x**2 + 1)*asin(a*x)/(2*a) - asin(a*x)**2/(4*a**2), Ne(a, 0)), (0, True))","A",0
16,1,32,0,0.182158," ","integrate(asin(a*x)**2,x)","\begin{cases} x \operatorname{asin}^{2}{\left(a x \right)} - 2 x + \frac{2 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*asin(a*x)**2 - 2*x + 2*sqrt(-a**2*x**2 + 1)*asin(a*x)/a, Ne(a, 0)), (0, True))","A",0
17,0,0,0,0.000000," ","integrate(asin(a*x)**2/x,x)","\int \frac{\operatorname{asin}^{2}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(asin(a*x)**2/x, x)","F",0
18,0,0,0,0.000000," ","integrate(asin(a*x)**2/x**2,x)","\int \frac{\operatorname{asin}^{2}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(asin(a*x)**2/x**2, x)","F",0
19,0,0,0,0.000000," ","integrate(asin(a*x)**2/x**3,x)","\int \frac{\operatorname{asin}^{2}{\left(a x \right)}}{x^{3}}\, dx"," ",0,"Integral(asin(a*x)**2/x**3, x)","F",0
20,0,0,0,0.000000," ","integrate(asin(a*x)**2/x**4,x)","\int \frac{\operatorname{asin}^{2}{\left(a x \right)}}{x^{4}}\, dx"," ",0,"Integral(asin(a*x)**2/x**4, x)","F",0
21,0,0,0,0.000000," ","integrate(asin(a*x)**2/x**5,x)","\int \frac{\operatorname{asin}^{2}{\left(a x \right)}}{x^{5}}\, dx"," ",0,"Integral(asin(a*x)**2/x**5, x)","F",0
22,1,196,0,5.683356," ","integrate(x**4*asin(a*x)**3,x)","\begin{cases} \frac{x^{5} \operatorname{asin}^{3}{\left(a x \right)}}{5} - \frac{6 x^{5} \operatorname{asin}{\left(a x \right)}}{125} + \frac{3 x^{4} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{25 a} - \frac{6 x^{4} \sqrt{- a^{2} x^{2} + 1}}{625 a} - \frac{8 x^{3} \operatorname{asin}{\left(a x \right)}}{75 a^{2}} + \frac{4 x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{25 a^{3}} - \frac{272 x^{2} \sqrt{- a^{2} x^{2} + 1}}{5625 a^{3}} - \frac{16 x \operatorname{asin}{\left(a x \right)}}{25 a^{4}} + \frac{8 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{25 a^{5}} - \frac{4144 \sqrt{- a^{2} x^{2} + 1}}{5625 a^{5}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*asin(a*x)**3/5 - 6*x**5*asin(a*x)/125 + 3*x**4*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(25*a) - 6*x**4*sqrt(-a**2*x**2 + 1)/(625*a) - 8*x**3*asin(a*x)/(75*a**2) + 4*x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(25*a**3) - 272*x**2*sqrt(-a**2*x**2 + 1)/(5625*a**3) - 16*x*asin(a*x)/(25*a**4) + 8*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(25*a**5) - 4144*sqrt(-a**2*x**2 + 1)/(5625*a**5), Ne(a, 0)), (0, True))","A",0
23,1,160,0,3.341298," ","integrate(x**3*asin(a*x)**3,x)","\begin{cases} \frac{x^{4} \operatorname{asin}^{3}{\left(a x \right)}}{4} - \frac{3 x^{4} \operatorname{asin}{\left(a x \right)}}{32} + \frac{3 x^{3} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{16 a} - \frac{3 x^{3} \sqrt{- a^{2} x^{2} + 1}}{128 a} - \frac{9 x^{2} \operatorname{asin}{\left(a x \right)}}{32 a^{2}} + \frac{9 x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{32 a^{3}} - \frac{45 x \sqrt{- a^{2} x^{2} + 1}}{256 a^{3}} - \frac{3 \operatorname{asin}^{3}{\left(a x \right)}}{32 a^{4}} + \frac{45 \operatorname{asin}{\left(a x \right)}}{256 a^{4}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*asin(a*x)**3/4 - 3*x**4*asin(a*x)/32 + 3*x**3*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(16*a) - 3*x**3*sqrt(-a**2*x**2 + 1)/(128*a) - 9*x**2*asin(a*x)/(32*a**2) + 9*x*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(32*a**3) - 45*x*sqrt(-a**2*x**2 + 1)/(256*a**3) - 3*asin(a*x)**3/(32*a**4) + 45*asin(a*x)/(256*a**4), Ne(a, 0)), (0, True))","A",0
24,1,128,0,1.867470," ","integrate(x**2*asin(a*x)**3,x)","\begin{cases} \frac{x^{3} \operatorname{asin}^{3}{\left(a x \right)}}{3} - \frac{2 x^{3} \operatorname{asin}{\left(a x \right)}}{9} + \frac{x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{3 a} - \frac{2 x^{2} \sqrt{- a^{2} x^{2} + 1}}{27 a} - \frac{4 x \operatorname{asin}{\left(a x \right)}}{3 a^{2}} + \frac{2 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{3 a^{3}} - \frac{40 \sqrt{- a^{2} x^{2} + 1}}{27 a^{3}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*asin(a*x)**3/3 - 2*x**3*asin(a*x)/9 + x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(3*a) - 2*x**2*sqrt(-a**2*x**2 + 1)/(27*a) - 4*x*asin(a*x)/(3*a**2) + 2*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(3*a**3) - 40*sqrt(-a**2*x**2 + 1)/(27*a**3), Ne(a, 0)), (0, True))","A",0
25,1,92,0,0.902026," ","integrate(x*asin(a*x)**3,x)","\begin{cases} \frac{x^{2} \operatorname{asin}^{3}{\left(a x \right)}}{2} - \frac{3 x^{2} \operatorname{asin}{\left(a x \right)}}{4} + \frac{3 x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{4 a} - \frac{3 x \sqrt{- a^{2} x^{2} + 1}}{8 a} - \frac{\operatorname{asin}^{3}{\left(a x \right)}}{4 a^{2}} + \frac{3 \operatorname{asin}{\left(a x \right)}}{8 a^{2}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*asin(a*x)**3/2 - 3*x**2*asin(a*x)/4 + 3*x*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/(4*a) - 3*x*sqrt(-a**2*x**2 + 1)/(8*a) - asin(a*x)**3/(4*a**2) + 3*asin(a*x)/(8*a**2), Ne(a, 0)), (0, True))","A",0
26,1,54,0,0.447352," ","integrate(asin(a*x)**3,x)","\begin{cases} x \operatorname{asin}^{3}{\left(a x \right)} - 6 x \operatorname{asin}{\left(a x \right)} + \frac{3 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(a x \right)}}{a} - \frac{6 \sqrt{- a^{2} x^{2} + 1}}{a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*asin(a*x)**3 - 6*x*asin(a*x) + 3*sqrt(-a**2*x**2 + 1)*asin(a*x)**2/a - 6*sqrt(-a**2*x**2 + 1)/a, Ne(a, 0)), (0, True))","A",0
27,0,0,0,0.000000," ","integrate(asin(a*x)**3/x,x)","\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(asin(a*x)**3/x, x)","F",0
28,0,0,0,0.000000," ","integrate(asin(a*x)**3/x**2,x)","\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(asin(a*x)**3/x**2, x)","F",0
29,0,0,0,0.000000," ","integrate(asin(a*x)**3/x**3,x)","\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{x^{3}}\, dx"," ",0,"Integral(asin(a*x)**3/x**3, x)","F",0
30,0,0,0,0.000000," ","integrate(asin(a*x)**3/x**4,x)","\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{x^{4}}\, dx"," ",0,"Integral(asin(a*x)**3/x**4, x)","F",0
31,0,0,0,0.000000," ","integrate(asin(a*x)**3/x**5,x)","\int \frac{\operatorname{asin}^{3}{\left(a x \right)}}{x^{5}}\, dx"," ",0,"Integral(asin(a*x)**3/x**5, x)","F",0
32,1,269,0,15.745877," ","integrate(x**5*asin(a*x)**4,x)","\begin{cases} \frac{x^{6} \operatorname{asin}^{4}{\left(a x \right)}}{6} - \frac{x^{6} \operatorname{asin}^{2}{\left(a x \right)}}{18} + \frac{x^{6}}{324} + \frac{x^{5} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{9 a} - \frac{x^{5} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{54 a} - \frac{5 x^{4} \operatorname{asin}^{2}{\left(a x \right)}}{48 a^{2}} + \frac{65 x^{4}}{3456 a^{2}} + \frac{5 x^{3} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{36 a^{3}} - \frac{65 x^{3} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{864 a^{3}} - \frac{5 x^{2} \operatorname{asin}^{2}{\left(a x \right)}}{16 a^{4}} + \frac{245 x^{2}}{1152 a^{4}} + \frac{5 x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{24 a^{5}} - \frac{245 x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{576 a^{5}} - \frac{5 \operatorname{asin}^{4}{\left(a x \right)}}{96 a^{6}} + \frac{245 \operatorname{asin}^{2}{\left(a x \right)}}{1152 a^{6}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**6*asin(a*x)**4/6 - x**6*asin(a*x)**2/18 + x**6/324 + x**5*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(9*a) - x**5*sqrt(-a**2*x**2 + 1)*asin(a*x)/(54*a) - 5*x**4*asin(a*x)**2/(48*a**2) + 65*x**4/(3456*a**2) + 5*x**3*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(36*a**3) - 65*x**3*sqrt(-a**2*x**2 + 1)*asin(a*x)/(864*a**3) - 5*x**2*asin(a*x)**2/(16*a**4) + 245*x**2/(1152*a**4) + 5*x*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(24*a**5) - 245*x*sqrt(-a**2*x**2 + 1)*asin(a*x)/(576*a**5) - 5*asin(a*x)**4/(96*a**6) + 245*asin(a*x)**2/(1152*a**6), Ne(a, 0)), (0, True))","A",0
33,1,241,0,9.506153," ","integrate(x**4*asin(a*x)**4,x)","\begin{cases} \frac{x^{5} \operatorname{asin}^{4}{\left(a x \right)}}{5} - \frac{12 x^{5} \operatorname{asin}^{2}{\left(a x \right)}}{125} + \frac{24 x^{5}}{3125} + \frac{4 x^{4} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{25 a} - \frac{24 x^{4} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{625 a} - \frac{16 x^{3} \operatorname{asin}^{2}{\left(a x \right)}}{75 a^{2}} + \frac{1088 x^{3}}{16875 a^{2}} + \frac{16 x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{75 a^{3}} - \frac{1088 x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{5625 a^{3}} - \frac{32 x \operatorname{asin}^{2}{\left(a x \right)}}{25 a^{4}} + \frac{16576 x}{5625 a^{4}} + \frac{32 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{75 a^{5}} - \frac{16576 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{5625 a^{5}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*asin(a*x)**4/5 - 12*x**5*asin(a*x)**2/125 + 24*x**5/3125 + 4*x**4*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(25*a) - 24*x**4*sqrt(-a**2*x**2 + 1)*asin(a*x)/(625*a) - 16*x**3*asin(a*x)**2/(75*a**2) + 1088*x**3/(16875*a**2) + 16*x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(75*a**3) - 1088*x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)/(5625*a**3) - 32*x*asin(a*x)**2/(25*a**4) + 16576*x/(5625*a**4) + 32*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(75*a**5) - 16576*sqrt(-a**2*x**2 + 1)*asin(a*x)/(5625*a**5), Ne(a, 0)), (0, True))","A",0
34,1,190,0,6.097625," ","integrate(x**3*asin(a*x)**4,x)","\begin{cases} \frac{x^{4} \operatorname{asin}^{4}{\left(a x \right)}}{4} - \frac{3 x^{4} \operatorname{asin}^{2}{\left(a x \right)}}{16} + \frac{3 x^{4}}{128} + \frac{x^{3} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{4 a} - \frac{3 x^{3} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{32 a} - \frac{9 x^{2} \operatorname{asin}^{2}{\left(a x \right)}}{16 a^{2}} + \frac{45 x^{2}}{128 a^{2}} + \frac{3 x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{8 a^{3}} - \frac{45 x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{64 a^{3}} - \frac{3 \operatorname{asin}^{4}{\left(a x \right)}}{32 a^{4}} + \frac{45 \operatorname{asin}^{2}{\left(a x \right)}}{128 a^{4}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*asin(a*x)**4/4 - 3*x**4*asin(a*x)**2/16 + 3*x**4/128 + x**3*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(4*a) - 3*x**3*sqrt(-a**2*x**2 + 1)*asin(a*x)/(32*a) - 9*x**2*asin(a*x)**2/(16*a**2) + 45*x**2/(128*a**2) + 3*x*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(8*a**3) - 45*x*sqrt(-a**2*x**2 + 1)*asin(a*x)/(64*a**3) - 3*asin(a*x)**4/(32*a**4) + 45*asin(a*x)**2/(128*a**4), Ne(a, 0)), (0, True))","A",0
35,1,158,0,3.312844," ","integrate(x**2*asin(a*x)**4,x)","\begin{cases} \frac{x^{3} \operatorname{asin}^{4}{\left(a x \right)}}{3} - \frac{4 x^{3} \operatorname{asin}^{2}{\left(a x \right)}}{9} + \frac{8 x^{3}}{81} + \frac{4 x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{9 a} - \frac{8 x^{2} \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{27 a} - \frac{8 x \operatorname{asin}^{2}{\left(a x \right)}}{3 a^{2}} + \frac{160 x}{27 a^{2}} + \frac{8 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{9 a^{3}} - \frac{160 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{27 a^{3}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*asin(a*x)**4/3 - 4*x**3*asin(a*x)**2/9 + 8*x**3/81 + 4*x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(9*a) - 8*x**2*sqrt(-a**2*x**2 + 1)*asin(a*x)/(27*a) - 8*x*asin(a*x)**2/(3*a**2) + 160*x/(27*a**2) + 8*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/(9*a**3) - 160*sqrt(-a**2*x**2 + 1)*asin(a*x)/(27*a**3), Ne(a, 0)), (0, True))","A",0
36,1,104,0,1.895067," ","integrate(x*asin(a*x)**4,x)","\begin{cases} \frac{x^{2} \operatorname{asin}^{4}{\left(a x \right)}}{2} - \frac{3 x^{2} \operatorname{asin}^{2}{\left(a x \right)}}{2} + \frac{3 x^{2}}{4} + \frac{x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{a} - \frac{3 x \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{2 a} - \frac{\operatorname{asin}^{4}{\left(a x \right)}}{4 a^{2}} + \frac{3 \operatorname{asin}^{2}{\left(a x \right)}}{4 a^{2}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*asin(a*x)**4/2 - 3*x**2*asin(a*x)**2/2 + 3*x**2/4 + x*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/a - 3*x*sqrt(-a**2*x**2 + 1)*asin(a*x)/(2*a) - asin(a*x)**4/(4*a**2) + 3*asin(a*x)**2/(4*a**2), Ne(a, 0)), (0, True))","A",0
37,1,65,0,0.859434," ","integrate(asin(a*x)**4,x)","\begin{cases} x \operatorname{asin}^{4}{\left(a x \right)} - 12 x \operatorname{asin}^{2}{\left(a x \right)} + 24 x + \frac{4 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}^{3}{\left(a x \right)}}{a} - \frac{24 \sqrt{- a^{2} x^{2} + 1} \operatorname{asin}{\left(a x \right)}}{a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*asin(a*x)**4 - 12*x*asin(a*x)**2 + 24*x + 4*sqrt(-a**2*x**2 + 1)*asin(a*x)**3/a - 24*sqrt(-a**2*x**2 + 1)*asin(a*x)/a, Ne(a, 0)), (0, True))","A",0
38,0,0,0,0.000000," ","integrate(asin(a*x)**4/x,x)","\int \frac{\operatorname{asin}^{4}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(asin(a*x)**4/x, x)","F",0
39,0,0,0,0.000000," ","integrate(asin(a*x)**4/x**2,x)","\int \frac{\operatorname{asin}^{4}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(asin(a*x)**4/x**2, x)","F",0
40,0,0,0,0.000000," ","integrate(asin(a*x)**4/x**3,x)","\int \frac{\operatorname{asin}^{4}{\left(a x \right)}}{x^{3}}\, dx"," ",0,"Integral(asin(a*x)**4/x**3, x)","F",0
41,0,0,0,0.000000," ","integrate(asin(a*x)**4/x**4,x)","\int \frac{\operatorname{asin}^{4}{\left(a x \right)}}{x^{4}}\, dx"," ",0,"Integral(asin(a*x)**4/x**4, x)","F",0
42,0,0,0,0.000000," ","integrate(x**6/asin(a*x),x)","\int \frac{x^{6}}{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x**6/asin(a*x), x)","F",0
43,0,0,0,0.000000," ","integrate(x**5/asin(a*x),x)","\int \frac{x^{5}}{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x**5/asin(a*x), x)","F",0
44,0,0,0,0.000000," ","integrate(x**4/asin(a*x),x)","\int \frac{x^{4}}{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/asin(a*x), x)","F",0
45,0,0,0,0.000000," ","integrate(x**3/asin(a*x),x)","\int \frac{x^{3}}{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/asin(a*x), x)","F",0
46,0,0,0,0.000000," ","integrate(x**2/asin(a*x),x)","\int \frac{x^{2}}{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/asin(a*x), x)","F",0
47,0,0,0,0.000000," ","integrate(x/asin(a*x),x)","\int \frac{x}{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x/asin(a*x), x)","F",0
48,0,0,0,0.000000," ","integrate(1/asin(a*x),x)","\int \frac{1}{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(1/asin(a*x), x)","F",0
49,0,0,0,0.000000," ","integrate(1/x/asin(a*x),x)","\int \frac{1}{x \operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*asin(a*x)), x)","F",0
50,0,0,0,0.000000," ","integrate(1/x**2/asin(a*x),x)","\int \frac{1}{x^{2} \operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x**2*asin(a*x)), x)","F",0
51,0,0,0,0.000000," ","integrate(x**6/asin(a*x)**2,x)","\int \frac{x^{6}}{\operatorname{asin}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**6/asin(a*x)**2, x)","F",0
52,0,0,0,0.000000," ","integrate(x**5/asin(a*x)**2,x)","\int \frac{x^{5}}{\operatorname{asin}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**5/asin(a*x)**2, x)","F",0
53,0,0,0,0.000000," ","integrate(x**4/asin(a*x)**2,x)","\int \frac{x^{4}}{\operatorname{asin}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/asin(a*x)**2, x)","F",0
54,0,0,0,0.000000," ","integrate(x**3/asin(a*x)**2,x)","\int \frac{x^{3}}{\operatorname{asin}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/asin(a*x)**2, x)","F",0
55,0,0,0,0.000000," ","integrate(x**2/asin(a*x)**2,x)","\int \frac{x^{2}}{\operatorname{asin}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/asin(a*x)**2, x)","F",0
56,0,0,0,0.000000," ","integrate(x/asin(a*x)**2,x)","\int \frac{x}{\operatorname{asin}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x/asin(a*x)**2, x)","F",0
57,0,0,0,0.000000," ","integrate(1/asin(a*x)**2,x)","\int \frac{1}{\operatorname{asin}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(asin(a*x)**(-2), x)","F",0
58,0,0,0,0.000000," ","integrate(1/x/asin(a*x)**2,x)","\int \frac{1}{x \operatorname{asin}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*asin(a*x)**2), x)","F",0
59,0,0,0,0.000000," ","integrate(1/x**2/asin(a*x)**2,x)","\int \frac{1}{x^{2} \operatorname{asin}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x**2*asin(a*x)**2), x)","F",0
60,0,0,0,0.000000," ","integrate(x**4/asin(a*x)**3,x)","\int \frac{x^{4}}{\operatorname{asin}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/asin(a*x)**3, x)","F",0
61,0,0,0,0.000000," ","integrate(x**3/asin(a*x)**3,x)","\int \frac{x^{3}}{\operatorname{asin}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/asin(a*x)**3, x)","F",0
62,0,0,0,0.000000," ","integrate(x**2/asin(a*x)**3,x)","\int \frac{x^{2}}{\operatorname{asin}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/asin(a*x)**3, x)","F",0
63,0,0,0,0.000000," ","integrate(x/asin(a*x)**3,x)","\int \frac{x}{\operatorname{asin}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(x/asin(a*x)**3, x)","F",0
64,0,0,0,0.000000," ","integrate(1/asin(a*x)**3,x)","\int \frac{1}{\operatorname{asin}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(asin(a*x)**(-3), x)","F",0
65,0,0,0,0.000000," ","integrate(1/x/asin(a*x)**3,x)","\int \frac{1}{x \operatorname{asin}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*asin(a*x)**3), x)","F",0
66,0,0,0,0.000000," ","integrate(1/x**2/asin(a*x)**3,x)","\int \frac{1}{x^{2} \operatorname{asin}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x**2*asin(a*x)**3), x)","F",0
67,0,0,0,0.000000," ","integrate(x**4/asin(a*x)**4,x)","\int \frac{x^{4}}{\operatorname{asin}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/asin(a*x)**4, x)","F",0
68,0,0,0,0.000000," ","integrate(x**3/asin(a*x)**4,x)","\int \frac{x^{3}}{\operatorname{asin}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/asin(a*x)**4, x)","F",0
69,0,0,0,0.000000," ","integrate(x**2/asin(a*x)**4,x)","\int \frac{x^{2}}{\operatorname{asin}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/asin(a*x)**4, x)","F",0
70,0,0,0,0.000000," ","integrate(x/asin(a*x)**4,x)","\int \frac{x}{\operatorname{asin}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(x/asin(a*x)**4, x)","F",0
71,0,0,0,0.000000," ","integrate(1/asin(a*x)**4,x)","\int \frac{1}{\operatorname{asin}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(asin(a*x)**(-4), x)","F",0
72,0,0,0,0.000000," ","integrate(1/x/asin(a*x)**4,x)","\int \frac{1}{x \operatorname{asin}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*asin(a*x)**4), x)","F",0
73,0,0,0,0.000000," ","integrate(1/x**2/asin(a*x)**4,x)","\int \frac{1}{x^{2} \operatorname{asin}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x**2*asin(a*x)**4), x)","F",0
74,0,0,0,0.000000," ","integrate(x**4*asin(a*x)**(1/2),x)","\int x^{4} \sqrt{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4*sqrt(asin(a*x)), x)","F",0
75,0,0,0,0.000000," ","integrate(x**3*asin(a*x)**(1/2),x)","\int x^{3} \sqrt{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3*sqrt(asin(a*x)), x)","F",0
76,0,0,0,0.000000," ","integrate(x**2*asin(a*x)**(1/2),x)","\int x^{2} \sqrt{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2*sqrt(asin(a*x)), x)","F",0
77,0,0,0,0.000000," ","integrate(x*asin(a*x)**(1/2),x)","\int x \sqrt{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(x*sqrt(asin(a*x)), x)","F",0
78,0,0,0,0.000000," ","integrate(asin(a*x)**(1/2),x)","\int \sqrt{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral(sqrt(asin(a*x)), x)","F",0
79,0,0,0,0.000000," ","integrate(asin(a*x)**(1/2)/x,x)","\int \frac{\sqrt{\operatorname{asin}{\left(a x \right)}}}{x}\, dx"," ",0,"Integral(sqrt(asin(a*x))/x, x)","F",0
80,0,0,0,0.000000," ","integrate(x**4*asin(a*x)**(3/2),x)","\int x^{4} \operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**4*asin(a*x)**(3/2), x)","F",0
81,0,0,0,0.000000," ","integrate(x**3*asin(a*x)**(3/2),x)","\int x^{3} \operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**3*asin(a*x)**(3/2), x)","F",0
82,0,0,0,0.000000," ","integrate(x**2*asin(a*x)**(3/2),x)","\int x^{2} \operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**2*asin(a*x)**(3/2), x)","F",0
83,0,0,0,0.000000," ","integrate(x*asin(a*x)**(3/2),x)","\int x \operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x*asin(a*x)**(3/2), x)","F",0
84,0,0,0,0.000000," ","integrate(asin(a*x)**(3/2),x)","\int \operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(asin(a*x)**(3/2), x)","F",0
85,0,0,0,0.000000," ","integrate(asin(a*x)**(3/2)/x,x)","\int \frac{\operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(asin(a*x)**(3/2)/x, x)","F",0
86,-1,0,0,0.000000," ","integrate(x**4*asin(a*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
87,0,0,0,0.000000," ","integrate(x**3*asin(a*x)**(5/2),x)","\int x^{3} \operatorname{asin}^{\frac{5}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**3*asin(a*x)**(5/2), x)","F",0
88,0,0,0,0.000000," ","integrate(x**2*asin(a*x)**(5/2),x)","\int x^{2} \operatorname{asin}^{\frac{5}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**2*asin(a*x)**(5/2), x)","F",0
89,0,0,0,0.000000," ","integrate(x*asin(a*x)**(5/2),x)","\int x \operatorname{asin}^{\frac{5}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x*asin(a*x)**(5/2), x)","F",0
90,0,0,0,0.000000," ","integrate(asin(a*x)**(5/2),x)","\int \operatorname{asin}^{\frac{5}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(asin(a*x)**(5/2), x)","F",0
91,0,0,0,0.000000," ","integrate(asin(a*x)**(5/2)/x,x)","\int \frac{\operatorname{asin}^{\frac{5}{2}}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(asin(a*x)**(5/2)/x, x)","F",0
92,0,0,0,0.000000," ","integrate(x**4/asin(a*x)**(1/2),x)","\int \frac{x^{4}}{\sqrt{\operatorname{asin}{\left(a x \right)}}}\, dx"," ",0,"Integral(x**4/sqrt(asin(a*x)), x)","F",0
93,0,0,0,0.000000," ","integrate(x**3/asin(a*x)**(1/2),x)","\int \frac{x^{3}}{\sqrt{\operatorname{asin}{\left(a x \right)}}}\, dx"," ",0,"Integral(x**3/sqrt(asin(a*x)), x)","F",0
94,0,0,0,0.000000," ","integrate(x**2/asin(a*x)**(1/2),x)","\int \frac{x^{2}}{\sqrt{\operatorname{asin}{\left(a x \right)}}}\, dx"," ",0,"Integral(x**2/sqrt(asin(a*x)), x)","F",0
95,0,0,0,0.000000," ","integrate(x/asin(a*x)**(1/2),x)","\int \frac{x}{\sqrt{\operatorname{asin}{\left(a x \right)}}}\, dx"," ",0,"Integral(x/sqrt(asin(a*x)), x)","F",0
96,0,0,0,0.000000," ","integrate(1/asin(a*x)**(1/2),x)","\int \frac{1}{\sqrt{\operatorname{asin}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/sqrt(asin(a*x)), x)","F",0
97,0,0,0,0.000000," ","integrate(1/x/asin(a*x)**(1/2),x)","\int \frac{1}{x \sqrt{\operatorname{asin}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/(x*sqrt(asin(a*x))), x)","F",0
98,0,0,0,0.000000," ","integrate(1/x**2/asin(a*x)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{\operatorname{asin}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/(x**2*sqrt(asin(a*x))), x)","F",0
99,0,0,0,0.000000," ","integrate(x**6/asin(a*x)**(3/2),x)","\int \frac{x^{6}}{\operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**6/asin(a*x)**(3/2), x)","F",0
100,0,0,0,0.000000," ","integrate(x**5/asin(a*x)**(3/2),x)","\int \frac{x^{5}}{\operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**5/asin(a*x)**(3/2), x)","F",0
101,0,0,0,0.000000," ","integrate(x**4/asin(a*x)**(3/2),x)","\int \frac{x^{4}}{\operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/asin(a*x)**(3/2), x)","F",0
102,0,0,0,0.000000," ","integrate(x**3/asin(a*x)**(3/2),x)","\int \frac{x^{3}}{\operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/asin(a*x)**(3/2), x)","F",0
103,0,0,0,0.000000," ","integrate(x**2/asin(a*x)**(3/2),x)","\int \frac{x^{2}}{\operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/asin(a*x)**(3/2), x)","F",0
104,0,0,0,0.000000," ","integrate(x/asin(a*x)**(3/2),x)","\int \frac{x}{\operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x/asin(a*x)**(3/2), x)","F",0
105,0,0,0,0.000000," ","integrate(1/asin(a*x)**(3/2),x)","\int \frac{1}{\operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(asin(a*x)**(-3/2), x)","F",0
106,0,0,0,0.000000," ","integrate(1/x/asin(a*x)**(3/2),x)","\int \frac{1}{x \operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*asin(a*x)**(3/2)), x)","F",0
107,0,0,0,0.000000," ","integrate(x**4/asin(a*x)**(5/2),x)","\int \frac{x^{4}}{\operatorname{asin}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/asin(a*x)**(5/2), x)","F",0
108,0,0,0,0.000000," ","integrate(x**3/asin(a*x)**(5/2),x)","\int \frac{x^{3}}{\operatorname{asin}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/asin(a*x)**(5/2), x)","F",0
109,0,0,0,0.000000," ","integrate(x**2/asin(a*x)**(5/2),x)","\int \frac{x^{2}}{\operatorname{asin}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/asin(a*x)**(5/2), x)","F",0
110,0,0,0,0.000000," ","integrate(x/asin(a*x)**(5/2),x)","\int \frac{x}{\operatorname{asin}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x/asin(a*x)**(5/2), x)","F",0
111,0,0,0,0.000000," ","integrate(1/asin(a*x)**(5/2),x)","\int \frac{1}{\operatorname{asin}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(asin(a*x)**(-5/2), x)","F",0
112,0,0,0,0.000000," ","integrate(1/x/asin(a*x)**(5/2),x)","\int \frac{1}{x \operatorname{asin}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*asin(a*x)**(5/2)), x)","F",0
113,0,0,0,0.000000," ","integrate(x**4/asin(a*x)**(7/2),x)","\int \frac{x^{4}}{\operatorname{asin}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/asin(a*x)**(7/2), x)","F",0
114,0,0,0,0.000000," ","integrate(x**3/asin(a*x)**(7/2),x)","\int \frac{x^{3}}{\operatorname{asin}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/asin(a*x)**(7/2), x)","F",0
115,0,0,0,0.000000," ","integrate(x**2/asin(a*x)**(7/2),x)","\int \frac{x^{2}}{\operatorname{asin}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/asin(a*x)**(7/2), x)","F",0
116,0,0,0,0.000000," ","integrate(x/asin(a*x)**(7/2),x)","\int \frac{x}{\operatorname{asin}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x/asin(a*x)**(7/2), x)","F",0
117,0,0,0,0.000000," ","integrate(1/asin(a*x)**(7/2),x)","\int \frac{1}{\operatorname{asin}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(asin(a*x)**(-7/2), x)","F",0
118,0,0,0,0.000000," ","integrate(1/x/asin(a*x)**(7/2),x)","\int \frac{1}{x \operatorname{asin}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*asin(a*x)**(7/2)), x)","F",0
119,0,0,0,0.000000," ","integrate((b*x)**m*asin(a*x)**4,x)","\int \left(b x\right)^{m} \operatorname{asin}^{4}{\left(a x \right)}\, dx"," ",0,"Integral((b*x)**m*asin(a*x)**4, x)","F",0
120,0,0,0,0.000000," ","integrate((b*x)**m*asin(a*x)**3,x)","\int \left(b x\right)^{m} \operatorname{asin}^{3}{\left(a x \right)}\, dx"," ",0,"Integral((b*x)**m*asin(a*x)**3, x)","F",0
121,0,0,0,0.000000," ","integrate((b*x)**m*asin(a*x)**2,x)","\int \left(b x\right)^{m} \operatorname{asin}^{2}{\left(a x \right)}\, dx"," ",0,"Integral((b*x)**m*asin(a*x)**2, x)","F",0
122,0,0,0,0.000000," ","integrate((b*x)**m*asin(a*x),x)","\int \left(b x\right)^{m} \operatorname{asin}{\left(a x \right)}\, dx"," ",0,"Integral((b*x)**m*asin(a*x), x)","F",0
123,0,0,0,0.000000," ","integrate((b*x)**m/asin(a*x),x)","\int \frac{\left(b x\right)^{m}}{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral((b*x)**m/asin(a*x), x)","F",0
124,0,0,0,0.000000," ","integrate((b*x)**m/asin(a*x)**2,x)","\int \frac{\left(b x\right)^{m}}{\operatorname{asin}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral((b*x)**m/asin(a*x)**2, x)","F",0
125,0,0,0,0.000000," ","integrate((b*x)**m*asin(a*x)**(3/2),x)","\int \left(b x\right)^{m} \operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral((b*x)**m*asin(a*x)**(3/2), x)","F",0
126,0,0,0,0.000000," ","integrate((b*x)**m*asin(a*x)**(1/2),x)","\int \left(b x\right)^{m} \sqrt{\operatorname{asin}{\left(a x \right)}}\, dx"," ",0,"Integral((b*x)**m*sqrt(asin(a*x)), x)","F",0
127,0,0,0,0.000000," ","integrate((b*x)**m/asin(a*x)**(1/2),x)","\int \frac{\left(b x\right)^{m}}{\sqrt{\operatorname{asin}{\left(a x \right)}}}\, dx"," ",0,"Integral((b*x)**m/sqrt(asin(a*x)), x)","F",0
128,0,0,0,0.000000," ","integrate((b*x)**m/asin(a*x)**(3/2),x)","\int \frac{\left(b x\right)^{m}}{\operatorname{asin}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral((b*x)**m/asin(a*x)**(3/2), x)","F",0
129,0,0,0,0.000000," ","integrate((b*x)**m*asin(a*x)**n,x)","\int \left(b x\right)^{m} \operatorname{asin}^{n}{\left(a x \right)}\, dx"," ",0,"Integral((b*x)**m*asin(a*x)**n, x)","F",0
130,0,0,0,0.000000," ","integrate(x**3*asin(a*x)**n,x)","\int x^{3} \operatorname{asin}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(x**3*asin(a*x)**n, x)","F",0
131,0,0,0,0.000000," ","integrate(x**2*asin(a*x)**n,x)","\int x^{2} \operatorname{asin}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(x**2*asin(a*x)**n, x)","F",0
132,0,0,0,0.000000," ","integrate(x*asin(a*x)**n,x)","\int x \operatorname{asin}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(x*asin(a*x)**n, x)","F",0
133,0,0,0,0.000000," ","integrate(asin(a*x)**n,x)","\int \operatorname{asin}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(asin(a*x)**n, x)","F",0
134,0,0,0,0.000000," ","integrate(asin(a*x)**n/x,x)","\int \frac{\operatorname{asin}^{n}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(asin(a*x)**n/x, x)","F",0
135,0,0,0,0.000000," ","integrate(asin(a*x)**n/x**2,x)","\int \frac{\operatorname{asin}^{n}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(asin(a*x)**n/x**2, x)","F",0
136,-1,0,0,0.000000," ","integrate((b*x)**(3/2)*asin(a*x)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,0,0,0,0.000000," ","integrate((b*x)**(1/2)*asin(a*x)**n,x)","\int \sqrt{b x} \operatorname{asin}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(sqrt(b*x)*asin(a*x)**n, x)","F",0
138,0,0,0,0.000000," ","integrate(asin(a*x)**n/(b*x)**(1/2),x)","\int \frac{\operatorname{asin}^{n}{\left(a x \right)}}{\sqrt{b x}}\, dx"," ",0,"Integral(asin(a*x)**n/sqrt(b*x), x)","F",0
139,0,0,0,0.000000," ","integrate(asin(a*x)**n/(b*x)**(3/2),x)","\int \frac{\operatorname{asin}^{n}{\left(a x \right)}}{\left(b x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(asin(a*x)**n/(b*x)**(3/2), x)","F",0
140,1,80,0,1.161629," ","integrate(x**3*(a+b*asin(c*x)),x)","\begin{cases} \frac{a x^{4}}{4} + \frac{b x^{4} \operatorname{asin}{\left(c x \right)}}{4} + \frac{b x^{3} \sqrt{- c^{2} x^{2} + 1}}{16 c} + \frac{3 b x \sqrt{- c^{2} x^{2} + 1}}{32 c^{3}} - \frac{3 b \operatorname{asin}{\left(c x \right)}}{32 c^{4}} & \text{for}\: c \neq 0 \\\frac{a x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**4/4 + b*x**4*asin(c*x)/4 + b*x**3*sqrt(-c**2*x**2 + 1)/(16*c) + 3*b*x*sqrt(-c**2*x**2 + 1)/(32*c**3) - 3*b*asin(c*x)/(32*c**4), Ne(c, 0)), (a*x**4/4, True))","A",0
141,1,65,0,0.492739," ","integrate(x**2*(a+b*asin(c*x)),x)","\begin{cases} \frac{a x^{3}}{3} + \frac{b x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{b x^{2} \sqrt{- c^{2} x^{2} + 1}}{9 c} + \frac{2 b \sqrt{- c^{2} x^{2} + 1}}{9 c^{3}} & \text{for}\: c \neq 0 \\\frac{a x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**3/3 + b*x**3*asin(c*x)/3 + b*x**2*sqrt(-c**2*x**2 + 1)/(9*c) + 2*b*sqrt(-c**2*x**2 + 1)/(9*c**3), Ne(c, 0)), (a*x**3/3, True))","A",0
142,1,54,0,0.256444," ","integrate(x*(a+b*asin(c*x)),x)","\begin{cases} \frac{a x^{2}}{2} + \frac{b x^{2} \operatorname{asin}{\left(c x \right)}}{2} + \frac{b x \sqrt{- c^{2} x^{2} + 1}}{4 c} - \frac{b \operatorname{asin}{\left(c x \right)}}{4 c^{2}} & \text{for}\: c \neq 0 \\\frac{a x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**2/2 + b*x**2*asin(c*x)/2 + b*x*sqrt(-c**2*x**2 + 1)/(4*c) - b*asin(c*x)/(4*c**2), Ne(c, 0)), (a*x**2/2, True))","A",0
143,1,26,0,0.135611," ","integrate(a+b*asin(c*x),x)","a x + b \left(\begin{cases} x \operatorname{asin}{\left(c x \right)} + \frac{\sqrt{- c^{2} x^{2} + 1}}{c} & \text{for}\: c \neq 0 \\0 & \text{otherwise} \end{cases}\right)"," ",0,"a*x + b*Piecewise((x*asin(c*x) + sqrt(-c**2*x**2 + 1)/c, Ne(c, 0)), (0, True))","A",0
144,0,0,0,0.000000," ","integrate((a+b*asin(c*x))/x,x)","\int \frac{a + b \operatorname{asin}{\left(c x \right)}}{x}\, dx"," ",0,"Integral((a + b*asin(c*x))/x, x)","F",0
145,1,39,0,1.711360," ","integrate((a+b*asin(c*x))/x**2,x)","- \frac{a}{x} + b c \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 \operatorname{asin}{\left(c x \right)}}{x}"," ",0,"-a/x + b*c*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) - b*asin(c*x)/x","A",0
146,1,61,0,1.447773," ","integrate((a+b*asin(c*x))/x**3,x)","- \frac{a}{2 x^{2}} + \frac{b c \left(\begin{cases} - \frac{i \sqrt{c^{2} x^{2} - 1}}{x} & \text{for}\: \left|{c^{2} x^{2}}\right| > 1 \\- \frac{\sqrt{- c^{2} x^{2} + 1}}{x} & \text{otherwise} \end{cases}\right)}{2} - \frac{b \operatorname{asin}{\left(c x \right)}}{2 x^{2}}"," ",0,"-a/(2*x**2) + b*c*Piecewise((-I*sqrt(c**2*x**2 - 1)/x, Abs(c**2*x**2) > 1), (-sqrt(-c**2*x**2 + 1)/x, True))/2 - b*asin(c*x)/(2*x**2)","A",0
147,1,119,0,2.605620," ","integrate((a+b*asin(c*x))/x**4,x)","- \frac{a}{3 x^{3}} + \frac{b c \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 \operatorname{asin}{\left(c x \right)}}{3 x^{3}}"," ",0,"-a/(3*x**3) + b*c*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*asin(c*x)/(3*x**3)","A",0
148,1,170,0,1.063042," ","integrate(x**2*(a+b*asin(c*x))**2,x)","\begin{cases} \frac{a^{2} x^{3}}{3} + \frac{2 a b x^{3} \operatorname{asin}{\left(c x \right)}}{3} + \frac{2 a b x^{2} \sqrt{- c^{2} x^{2} + 1}}{9 c} + \frac{4 a b \sqrt{- c^{2} x^{2} + 1}}{9 c^{3}} + \frac{b^{2} x^{3} \operatorname{asin}^{2}{\left(c x \right)}}{3} - \frac{2 b^{2} x^{3}}{27} + \frac{2 b^{2} x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{9 c} - \frac{4 b^{2} x}{9 c^{2}} + \frac{4 b^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{9 c^{3}} & \text{for}\: c \neq 0 \\\frac{a^{2} x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x**3/3 + 2*a*b*x**3*asin(c*x)/3 + 2*a*b*x**2*sqrt(-c**2*x**2 + 1)/(9*c) + 4*a*b*sqrt(-c**2*x**2 + 1)/(9*c**3) + b**2*x**3*asin(c*x)**2/3 - 2*b**2*x**3/27 + 2*b**2*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(9*c) - 4*b**2*x/(9*c**2) + 4*b**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(9*c**3), Ne(c, 0)), (a**2*x**3/3, True))","A",0
149,1,126,0,0.554031," ","integrate(x*(a+b*asin(c*x))**2,x)","\begin{cases} \frac{a^{2} x^{2}}{2} + a b x^{2} \operatorname{asin}{\left(c x \right)} + \frac{a b x \sqrt{- c^{2} x^{2} + 1}}{2 c} - \frac{a b \operatorname{asin}{\left(c x \right)}}{2 c^{2}} + \frac{b^{2} x^{2} \operatorname{asin}^{2}{\left(c x \right)}}{2} - \frac{b^{2} x^{2}}{4} + \frac{b^{2} x \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{2 c} - \frac{b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{4 c^{2}} & \text{for}\: c \neq 0 \\\frac{a^{2} x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x**2/2 + a*b*x**2*asin(c*x) + a*b*x*sqrt(-c**2*x**2 + 1)/(2*c) - a*b*asin(c*x)/(2*c**2) + b**2*x**2*asin(c*x)**2/2 - b**2*x**2/4 + b**2*x*sqrt(-c**2*x**2 + 1)*asin(c*x)/(2*c) - b**2*asin(c*x)**2/(4*c**2), Ne(c, 0)), (a**2*x**2/2, True))","A",0
150,1,82,0,0.266669," ","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
151,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x,x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/x, x)","F",0
152,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/x**2,x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral((a + b*asin(c*x))**2/x**2, x)","F",0
153,1,328,0,2.489467," ","integrate(x**2*(a+b*asin(c*x))**3,x)","\begin{cases} \frac{a^{3} x^{3}}{3} + a^{2} b x^{3} \operatorname{asin}{\left(c x \right)} + \frac{a^{2} b x^{2} \sqrt{- c^{2} x^{2} + 1}}{3 c} + \frac{2 a^{2} b \sqrt{- c^{2} x^{2} + 1}}{3 c^{3}} + a b^{2} x^{3} \operatorname{asin}^{2}{\left(c x \right)} - \frac{2 a b^{2} x^{3}}{9} + \frac{2 a b^{2} x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{3 c} - \frac{4 a b^{2} x}{3 c^{2}} + \frac{4 a b^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{3 c^{3}} + \frac{b^{3} x^{3} \operatorname{asin}^{3}{\left(c x \right)}}{3} - \frac{2 b^{3} x^{3} \operatorname{asin}{\left(c x \right)}}{9} + \frac{b^{3} x^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(c x \right)}}{3 c} - \frac{2 b^{3} x^{2} \sqrt{- c^{2} x^{2} + 1}}{27 c} - \frac{4 b^{3} x \operatorname{asin}{\left(c x \right)}}{3 c^{2}} + \frac{2 b^{3} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(c x \right)}}{3 c^{3}} - \frac{40 b^{3} \sqrt{- c^{2} x^{2} + 1}}{27 c^{3}} & \text{for}\: c \neq 0 \\\frac{a^{3} x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*x**3/3 + a**2*b*x**3*asin(c*x) + a**2*b*x**2*sqrt(-c**2*x**2 + 1)/(3*c) + 2*a**2*b*sqrt(-c**2*x**2 + 1)/(3*c**3) + a*b**2*x**3*asin(c*x)**2 - 2*a*b**2*x**3/9 + 2*a*b**2*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(3*c) - 4*a*b**2*x/(3*c**2) + 4*a*b**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/(3*c**3) + b**3*x**3*asin(c*x)**3/3 - 2*b**3*x**3*asin(c*x)/9 + b**3*x**2*sqrt(-c**2*x**2 + 1)*asin(c*x)**2/(3*c) - 2*b**3*x**2*sqrt(-c**2*x**2 + 1)/(27*c) - 4*b**3*x*asin(c*x)/(3*c**2) + 2*b**3*sqrt(-c**2*x**2 + 1)*asin(c*x)**2/(3*c**3) - 40*b**3*sqrt(-c**2*x**2 + 1)/(27*c**3), Ne(c, 0)), (a**3*x**3/3, True))","A",0
154,1,264,0,1.296211," ","integrate(x*(a+b*asin(c*x))**3,x)","\begin{cases} \frac{a^{3} x^{2}}{2} + \frac{3 a^{2} b x^{2} \operatorname{asin}{\left(c x \right)}}{2} + \frac{3 a^{2} b x \sqrt{- c^{2} x^{2} + 1}}{4 c} - \frac{3 a^{2} b \operatorname{asin}{\left(c x \right)}}{4 c^{2}} + \frac{3 a b^{2} x^{2} \operatorname{asin}^{2}{\left(c x \right)}}{2} - \frac{3 a b^{2} x^{2}}{4} + \frac{3 a b^{2} x \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{2 c} - \frac{3 a b^{2} \operatorname{asin}^{2}{\left(c x \right)}}{4 c^{2}} + \frac{b^{3} x^{2} \operatorname{asin}^{3}{\left(c x \right)}}{2} - \frac{3 b^{3} x^{2} \operatorname{asin}{\left(c x \right)}}{4} + \frac{3 b^{3} x \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(c x \right)}}{4 c} - \frac{3 b^{3} x \sqrt{- c^{2} x^{2} + 1}}{8 c} - \frac{b^{3} \operatorname{asin}^{3}{\left(c x \right)}}{4 c^{2}} + \frac{3 b^{3} \operatorname{asin}{\left(c x \right)}}{8 c^{2}} & \text{for}\: c \neq 0 \\\frac{a^{3} x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*x**2/2 + 3*a**2*b*x**2*asin(c*x)/2 + 3*a**2*b*x*sqrt(-c**2*x**2 + 1)/(4*c) - 3*a**2*b*asin(c*x)/(4*c**2) + 3*a*b**2*x**2*asin(c*x)**2/2 - 3*a*b**2*x**2/4 + 3*a*b**2*x*sqrt(-c**2*x**2 + 1)*asin(c*x)/(2*c) - 3*a*b**2*asin(c*x)**2/(4*c**2) + b**3*x**2*asin(c*x)**3/2 - 3*b**3*x**2*asin(c*x)/4 + 3*b**3*x*sqrt(-c**2*x**2 + 1)*asin(c*x)**2/(4*c) - 3*b**3*x*sqrt(-c**2*x**2 + 1)/(8*c) - b**3*asin(c*x)**3/(4*c**2) + 3*b**3*asin(c*x)/(8*c**2), Ne(c, 0)), (a**3*x**2/2, True))","A",0
155,1,160,0,0.595575," ","integrate((a+b*asin(c*x))**3,x)","\begin{cases} a^{3} x + 3 a^{2} b x \operatorname{asin}{\left(c x \right)} + \frac{3 a^{2} b \sqrt{- c^{2} x^{2} + 1}}{c} + 3 a b^{2} x \operatorname{asin}^{2}{\left(c x \right)} - 6 a b^{2} x + \frac{6 a b^{2} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}{\left(c x \right)}}{c} + b^{3} x \operatorname{asin}^{3}{\left(c x \right)} - 6 b^{3} x \operatorname{asin}{\left(c x \right)} + \frac{3 b^{3} \sqrt{- c^{2} x^{2} + 1} \operatorname{asin}^{2}{\left(c x \right)}}{c} - \frac{6 b^{3} \sqrt{- c^{2} x^{2} + 1}}{c} & \text{for}\: c \neq 0 \\a^{3} x & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*x + 3*a**2*b*x*asin(c*x) + 3*a**2*b*sqrt(-c**2*x**2 + 1)/c + 3*a*b**2*x*asin(c*x)**2 - 6*a*b**2*x + 6*a*b**2*sqrt(-c**2*x**2 + 1)*asin(c*x)/c + b**3*x*asin(c*x)**3 - 6*b**3*x*asin(c*x) + 3*b**3*sqrt(-c**2*x**2 + 1)*asin(c*x)**2/c - 6*b**3*sqrt(-c**2*x**2 + 1)/c, Ne(c, 0)), (a**3*x, True))","A",0
156,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**3/x,x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{3}}{x}\, dx"," ",0,"Integral((a + b*asin(c*x))**3/x, x)","F",0
157,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**3/x**2,x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{3}}{x^{2}}\, dx"," ",0,"Integral((a + b*asin(c*x))**3/x**2, x)","F",0
158,0,0,0,0.000000," ","integrate(x**2/(a+b*asin(c*x)),x)","\int \frac{x^{2}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x**2/(a + b*asin(c*x)), x)","F",0
159,0,0,0,0.000000," ","integrate(x/(a+b*asin(c*x)),x)","\int \frac{x}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x/(a + b*asin(c*x)), x)","F",0
160,0,0,0,0.000000," ","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
161,0,0,0,0.000000," ","integrate(1/x/(a+b*asin(c*x)),x)","\int \frac{1}{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/(x*(a + b*asin(c*x))), x)","F",0
162,0,0,0,0.000000," ","integrate(1/x**2/(a+b*asin(c*x)),x)","\int \frac{1}{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/(x**2*(a + b*asin(c*x))), x)","F",0
163,0,0,0,0.000000," ","integrate(x**2/(a+b*asin(c*x))**2,x)","\int \frac{x^{2}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2/(a + b*asin(c*x))**2, x)","F",0
164,0,0,0,0.000000," ","integrate(x/(a+b*asin(c*x))**2,x)","\int \frac{x}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x/(a + b*asin(c*x))**2, x)","F",0
165,0,0,0,0.000000," ","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
166,0,0,0,0.000000," ","integrate(1/x/(a+b*asin(c*x))**2,x)","\int \frac{1}{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x*(a + b*asin(c*x))**2), x)","F",0
167,0,0,0,0.000000," ","integrate(1/x**2/(a+b*asin(c*x))**2,x)","\int \frac{1}{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**2*(a + b*asin(c*x))**2), x)","F",0
168,0,0,0,0.000000," ","integrate(x**2/(a+b*asin(c*x))**3,x)","\int \frac{x^{2}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{3}}\, dx"," ",0,"Integral(x**2/(a + b*asin(c*x))**3, x)","F",0
169,0,0,0,0.000000," ","integrate(x/(a+b*asin(c*x))**3,x)","\int \frac{x}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{3}}\, dx"," ",0,"Integral(x/(a + b*asin(c*x))**3, x)","F",0
170,0,0,0,0.000000," ","integrate(1/(a+b*asin(c*x))**3,x)","\int \frac{1}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{3}}\, dx"," ",0,"Integral((a + b*asin(c*x))**(-3), x)","F",0
171,0,0,0,0.000000," ","integrate(1/x/(a+b*asin(c*x))**3,x)","\int \frac{1}{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{3}}\, dx"," ",0,"Integral(1/(x*(a + b*asin(c*x))**3), x)","F",0
172,0,0,0,0.000000," ","integrate(1/x**2/(a+b*asin(c*x))**3,x)","\int \frac{1}{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{3}}\, dx"," ",0,"Integral(1/(x**2*(a + b*asin(c*x))**3), x)","F",0
173,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))**(1/2),x)","\int x^{2} \sqrt{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x**2*sqrt(a + b*asin(c*x)), x)","F",0
174,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))**(1/2),x)","\int x \sqrt{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(x*sqrt(a + b*asin(c*x)), x)","F",0
175,0,0,0,0.000000," ","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
176,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**(1/2)/x,x)","\int \frac{\sqrt{a + b \operatorname{asin}{\left(c x \right)}}}{x}\, dx"," ",0,"Integral(sqrt(a + b*asin(c*x))/x, x)","F",0
177,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**(1/2)/x**2,x)","\int \frac{\sqrt{a + b \operatorname{asin}{\left(c x \right)}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(a + b*asin(c*x))/x**2, x)","F",0
178,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))**(3/2),x)","\int x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x**2*(a + b*asin(c*x))**(3/2), x)","F",0
179,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))**(3/2),x)","\int x \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x*(a + b*asin(c*x))**(3/2), x)","F",0
180,0,0,0,0.000000," ","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
181,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**(3/2)/x,x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"Integral((a + b*asin(c*x))**(3/2)/x, x)","F",0
182,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**(3/2)/x**2,x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"Integral((a + b*asin(c*x))**(3/2)/x**2, x)","F",0
183,0,0,0,0.000000," ","integrate(x**2*(a+b*asin(c*x))**(5/2),x)","\int x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral(x**2*(a + b*asin(c*x))**(5/2), x)","F",0
184,0,0,0,0.000000," ","integrate(x*(a+b*asin(c*x))**(5/2),x)","\int x \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral(x*(a + b*asin(c*x))**(5/2), x)","F",0
185,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**(5/2),x)","\int \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a + b*asin(c*x))**(5/2), x)","F",0
186,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**(5/2)/x,x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{5}{2}}}{x}\, dx"," ",0,"Integral((a + b*asin(c*x))**(5/2)/x, x)","F",0
187,0,0,0,0.000000," ","integrate((a+b*asin(c*x))**(5/2)/x**2,x)","\int \frac{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{5}{2}}}{x^{2}}\, dx"," ",0,"Integral((a + b*asin(c*x))**(5/2)/x**2, x)","F",0
188,0,0,0,0.000000," ","integrate(x**2/(a+b*asin(c*x))**(1/2),x)","\int \frac{x^{2}}{\sqrt{a + b \operatorname{asin}{\left(c x \right)}}}\, dx"," ",0,"Integral(x**2/sqrt(a + b*asin(c*x)), x)","F",0
189,0,0,0,0.000000," ","integrate(x/(a+b*asin(c*x))**(1/2),x)","\int \frac{x}{\sqrt{a + b \operatorname{asin}{\left(c x \right)}}}\, dx"," ",0,"Integral(x/sqrt(a + b*asin(c*x)), x)","F",0
190,0,0,0,0.000000," ","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
191,0,0,0,0.000000," ","integrate(1/x/(a+b*asin(c*x))**(1/2),x)","\int \frac{1}{x \sqrt{a + b \operatorname{asin}{\left(c x \right)}}}\, dx"," ",0,"Integral(1/(x*sqrt(a + b*asin(c*x))), x)","F",0
192,0,0,0,0.000000," ","integrate(1/x**2/(a+b*asin(c*x))**(1/2),x)","\int \frac{1}{x^{2} \sqrt{a + b \operatorname{asin}{\left(c x \right)}}}\, dx"," ",0,"Integral(1/(x**2*sqrt(a + b*asin(c*x))), x)","F",0
193,0,0,0,0.000000," ","integrate(x**2/(a+b*asin(c*x))**(3/2),x)","\int \frac{x^{2}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2/(a + b*asin(c*x))**(3/2), x)","F",0
194,0,0,0,0.000000," ","integrate(x/(a+b*asin(c*x))**(3/2),x)","\int \frac{x}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/(a + b*asin(c*x))**(3/2), x)","F",0
195,0,0,0,0.000000," ","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
196,0,0,0,0.000000," ","integrate(1/x/(a+b*asin(c*x))**(3/2),x)","\int \frac{1}{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x*(a + b*asin(c*x))**(3/2)), x)","F",0
197,0,0,0,0.000000," ","integrate(1/x**2/(a+b*asin(c*x))**(3/2),x)","\int \frac{1}{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*asin(c*x))**(3/2)), x)","F",0
198,0,0,0,0.000000," ","integrate(x**2/(a+b*asin(c*x))**(5/2),x)","\int \frac{x^{2}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**2/(a + b*asin(c*x))**(5/2), x)","F",0
199,0,0,0,0.000000," ","integrate(x/(a+b*asin(c*x))**(5/2),x)","\int \frac{x}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x/(a + b*asin(c*x))**(5/2), x)","F",0
200,0,0,0,0.000000," ","integrate(1/(a+b*asin(c*x))**(5/2),x)","\int \frac{1}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*asin(c*x))**(-5/2), x)","F",0
201,0,0,0,0.000000," ","integrate(1/x/(a+b*asin(c*x))**(5/2),x)","\int \frac{1}{x \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(x*(a + b*asin(c*x))**(5/2)), x)","F",0
202,0,0,0,0.000000," ","integrate(1/x**2/(a+b*asin(c*x))**(5/2),x)","\int \frac{1}{x^{2} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(x**2*(a + b*asin(c*x))**(5/2)), x)","F",0
203,1,82,0,104.624010," ","integrate((d*x)**(5/2)*(a+b*asin(c*x)),x)","a \left(\begin{cases} 0 & \text{for}\: d = 0 \\\frac{2 \left(d x\right)^{\frac{7}{2}}}{7 d} & \text{otherwise} \end{cases}\right) - b c \left(\begin{cases} 0 & \text{for}\: d = 0 \\\frac{d^{\frac{5}{2}} x^{\frac{9}{2}} \Gamma\left(\frac{9}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{9}{4} \\ \frac{13}{4} \end{matrix}\middle| {c^{2} x^{2} e^{2 i \pi}} \right)}}{7 \Gamma\left(\frac{13}{4}\right)} & \text{otherwise} \end{cases}\right) + b \left(\begin{cases} 0 & \text{for}\: d = 0 \\\frac{2 \left(d x\right)^{\frac{7}{2}}}{7 d} & \text{otherwise} \end{cases}\right) \operatorname{asin}{\left(c x \right)}"," ",0,"a*Piecewise((0, Eq(d, 0)), (2*(d*x)**(7/2)/(7*d), True)) - b*c*Piecewise((0, Eq(d, 0)), (d**(5/2)*x**(9/2)*gamma(9/4)*hyper((1/2, 9/4), (13/4,), c**2*x**2*exp_polar(2*I*pi))/(7*gamma(13/4)), True)) + b*Piecewise((0, Eq(d, 0)), (2*(d*x)**(7/2)/(7*d), True))*asin(c*x)","A",0
204,1,82,0,17.699349," ","integrate((d*x)**(3/2)*(a+b*asin(c*x)),x)","a \left(\begin{cases} 0 & \text{for}\: d = 0 \\\frac{2 \left(d x\right)^{\frac{5}{2}}}{5 d} & \text{otherwise} \end{cases}\right) - b c \left(\begin{cases} 0 & \text{for}\: d = 0 \\\frac{d^{\frac{3}{2}} x^{\frac{7}{2}} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {c^{2} x^{2} e^{2 i \pi}} \right)}}{5 \Gamma\left(\frac{11}{4}\right)} & \text{otherwise} \end{cases}\right) + b \left(\begin{cases} 0 & \text{for}\: d = 0 \\\frac{2 \left(d x\right)^{\frac{5}{2}}}{5 d} & \text{otherwise} \end{cases}\right) \operatorname{asin}{\left(c x \right)}"," ",0,"a*Piecewise((0, Eq(d, 0)), (2*(d*x)**(5/2)/(5*d), True)) - b*c*Piecewise((0, Eq(d, 0)), (d**(3/2)*x**(7/2)*gamma(7/4)*hyper((1/2, 7/4), (11/4,), c**2*x**2*exp_polar(2*I*pi))/(5*gamma(11/4)), True)) + b*Piecewise((0, Eq(d, 0)), (2*(d*x)**(5/2)/(5*d), True))*asin(c*x)","A",0
205,1,76,0,2.637871," ","integrate((d*x)**(1/2)*(a+b*asin(c*x)),x)","\frac{2 a \left(d x\right)^{\frac{3}{2}}}{3 d} - \frac{b c \left(d x\right)^{\frac{5}{2}} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {c^{2} x^{2} e^{2 i \pi}} \right)}}{3 d^{2} \Gamma\left(\frac{9}{4}\right)} + \frac{2 b \left(d x\right)^{\frac{3}{2}} \operatorname{asin}{\left(c x \right)}}{3 d}"," ",0,"2*a*(d*x)**(3/2)/(3*d) - b*c*(d*x)**(5/2)*gamma(5/4)*hyper((1/2, 5/4), (9/4,), c**2*x**2*exp_polar(2*I*pi))/(3*d**2*gamma(9/4)) + 2*b*(d*x)**(3/2)*asin(c*x)/(3*d)","A",0
206,-2,0,0,0.000000," ","integrate((a+b*asin(c*x))/(d*x)**(1/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
207,-2,0,0,0.000000," ","integrate((a+b*asin(c*x))/(d*x)**(3/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
208,-2,0,0,0.000000," ","integrate((a+b*asin(c*x))/(d*x)**(5/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
209,-1,0,0,0.000000," ","integrate((d*x)**(5/2)*(a+b*asin(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
210,0,0,0,0.000000," ","integrate((d*x)**(3/2)*(a+b*asin(c*x))**2,x)","\int \left(d x\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral((d*x)**(3/2)*(a + b*asin(c*x))**2, x)","F",0
211,0,0,0,0.000000," ","integrate((d*x)**(1/2)*(a+b*asin(c*x))**2,x)","\int \sqrt{d x} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(sqrt(d*x)*(a + b*asin(c*x))**2, x)","F",0
212,-2,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(d*x)**(1/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
213,-2,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(d*x)**(3/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
214,-2,0,0,0.000000," ","integrate((a+b*asin(c*x))**2/(d*x)**(5/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
215,0,0,0,0.000000," ","integrate((d*x)**(3/2)*(a+b*asin(c*x))**3,x)","\int \left(d x\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{3}\, dx"," ",0,"Integral((d*x)**(3/2)*(a + b*asin(c*x))**3, x)","F",0
216,0,0,0,0.000000," ","integrate((d*x)**(1/2)*(a+b*asin(c*x))**3,x)","\int \sqrt{d x} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{3}\, dx"," ",0,"Integral(sqrt(d*x)*(a + b*asin(c*x))**3, x)","F",0
217,-2,0,0,0.000000," ","integrate((a+b*asin(c*x))**3/(d*x)**(1/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
218,-2,0,0,0.000000," ","integrate((a+b*asin(c*x))**3/(d*x)**(3/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
219,-2,0,0,0.000000," ","integrate((a+b*asin(c*x))**3/(d*x)**(5/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
220,0,0,0,0.000000," ","integrate((d*x)**(3/2)/(a+b*asin(c*x)),x)","\int \frac{\left(d x\right)^{\frac{3}{2}}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral((d*x)**(3/2)/(a + b*asin(c*x)), x)","F",0
221,0,0,0,0.000000," ","integrate((d*x)**(1/2)/(a+b*asin(c*x)),x)","\int \frac{\sqrt{d x}}{a + b \operatorname{asin}{\left(c x \right)}}\, dx"," ",0,"Integral(sqrt(d*x)/(a + b*asin(c*x)), x)","F",0
222,0,0,0,0.000000," ","integrate(1/(d*x)**(1/2)/(a+b*asin(c*x)),x)","\int \frac{1}{\sqrt{d x} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/(sqrt(d*x)*(a + b*asin(c*x))), x)","F",0
223,0,0,0,0.000000," ","integrate(1/(d*x)**(3/2)/(a+b*asin(c*x)),x)","\int \frac{1}{\left(d x\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/((d*x)**(3/2)*(a + b*asin(c*x))), x)","F",0
224,0,0,0,0.000000," ","integrate((d*x)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{\left(d x\right)^{\frac{3}{2}}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((d*x)**(3/2)/(a + b*asin(c*x))**2, x)","F",0
225,0,0,0,0.000000," ","integrate((d*x)**(1/2)/(a+b*asin(c*x))**2,x)","\int \frac{\sqrt{d x}}{\left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(d*x)/(a + b*asin(c*x))**2, x)","F",0
226,0,0,0,0.000000," ","integrate(1/(d*x)**(1/2)/(a+b*asin(c*x))**2,x)","\int \frac{1}{\sqrt{d x} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(sqrt(d*x)*(a + b*asin(c*x))**2), x)","F",0
227,0,0,0,0.000000," ","integrate(1/(d*x)**(3/2)/(a+b*asin(c*x))**2,x)","\int \frac{1}{\left(d x\right)^{\frac{3}{2}} \left(a + b \operatorname{asin}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/((d*x)**(3/2)*(a + b*asin(c*x))**2), x)","F",0
