Optimal. Leaf size=28 \[ \text{CannotIntegrate}\left (\frac{x^2 \cos (a+b x)}{\sqrt{3 \sin (a+b x)+x^3}},x\right ) \]
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Rubi [A] time = 0.110789, 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 = {} \[ \int \frac{x^2 \cos (a+b x)}{\sqrt{x^3+3 \sin (a+b x)}} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{x^2 \cos (a+b x)}{\sqrt{x^3+3 \sin (a+b x)}} \, dx &=\int \frac{x^2 \cos (a+b x)}{\sqrt{x^3+3 \sin (a+b x)}} \, dx\\ \end{align*}
Mathematica [A] time = 7.65393, size = 0, normalized size = 0. \[ \int \frac{x^2 \cos (a+b x)}{\sqrt{x^3+3 \sin (a+b x)}} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.38, size = 0, normalized size = 0. \begin{align*} \int{{x}^{2}\cos \left ( bx+a \right ){\frac{1}{\sqrt{{x}^{3}+3\,\sin \left ( bx+a \right ) }}}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{x^{2} \cos \left (b x + a\right )}{\sqrt{x^{3} + 3 \, \sin \left (b x + a\right )}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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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.
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Sympy [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{x^{2} \cos{\left (a + b x \right )}}{\sqrt{x^{3} + 3 \sin{\left (a + b x \right )}}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{x^{2} \cos \left (b x + a\right )}{\sqrt{x^{3} + 3 \, \sin \left (b x + a\right )}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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