Optimal. Leaf size=14 \[ \frac{\left (b x^2\right )^p}{2 p} \]
[Out]
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Rubi [A] time = 0.00984844, antiderivative size = 14, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.182 \[ \frac{\left (b x^2\right )^p}{2 p} \]
Antiderivative was successfully verified.
[In] Int[(b*x^2)^p/x,x]
[Out]
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Rubi in Sympy [A] time = 2.73557, size = 8, normalized size = 0.57 \[ \frac{\left (b x^{2}\right )^{p}}{2 p} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x**2)**p/x,x)
[Out]
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Mathematica [A] time = 0.0019327, size = 14, normalized size = 1. \[ \frac{\left (b x^2\right )^p}{2 p} \]
Antiderivative was successfully verified.
[In] Integrate[(b*x^2)^p/x,x]
[Out]
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Maple [A] time = 0.002, size = 13, normalized size = 0.9 \[{\frac{ \left ( b{x}^{2} \right ) ^{p}}{2\,p}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x^2)^p/x,x)
[Out]
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Maxima [A] time = 1.43914, size = 18, normalized size = 1.29 \[ \frac{b^{p}{\left (x^{2}\right )}^{p}}{2 \, p} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^2)^p/x,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.26879, size = 16, normalized size = 1.14 \[ \frac{\left (b x^{2}\right )^{p}}{2 \, p} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^2)^p/x,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.463908, size = 14, normalized size = 1. \[ \begin{cases} \frac{b^{p} \left (x^{2}\right )^{p}}{2 p} & \text{for}\: p \neq 0 \\\log{\left (x \right )} & \text{otherwise} \end{cases} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x**2)**p/x,x)
[Out]
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GIAC/XCAS [F] time = 0., size = 0, normalized size = 0. \[ \int \frac{\left (b x^{2}\right )^{p}}{x}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^2)^p/x,x, algorithm="giac")
[Out]