Optimal. Leaf size=16 \[ \text{Unintegrable}\left (\sin ^{-1}(a x)^{3/2} (b x)^m,x\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.016084, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \int (b x)^m \sin ^{-1}(a x)^{3/2} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
Rubi steps
\begin{align*} \int (b x)^m \sin ^{-1}(a x)^{3/2} \, dx &=\int (b x)^m \sin ^{-1}(a x)^{3/2} \, dx\\ \end{align*}
Mathematica [A] time = 2.62588, size = 0, normalized size = 0. \[ \int (b x)^m \sin ^{-1}(a x)^{3/2} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.07, size = 0, normalized size = 0. \begin{align*} \int \left ( bx \right ) ^{m} \left ( \arcsin \left ( ax \right ) \right ) ^{{\frac{3}{2}}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [F(-2)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Exception raised: RuntimeError} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [F(-2)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Exception raised: UnboundLocalError} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [F(-1)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Timed out} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \left (b x\right )^{m} \arcsin \left (a x\right )^{\frac{3}{2}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]