Optimal. Leaf size=18 \[ \frac{b^2 \sqrt{b x^2} \log (x)}{x} \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.00749944, antiderivative size = 18, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.154 \[ \frac{b^2 \sqrt{b x^2} \log (x)}{x} \]
Antiderivative was successfully verified.
[In] Int[(b*x^2)^(5/2)/x^6,x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 2.31369, size = 15, normalized size = 0.83 \[ \frac{b^{2} \sqrt{b x^{2}} \log{\left (x \right )}}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x**2)**(5/2)/x**6,x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00357357, size = 15, normalized size = 0.83 \[ \frac{\left (b x^2\right )^{5/2} \log (x)}{x^5} \]
Antiderivative was successfully verified.
[In] Integrate[(b*x^2)^(5/2)/x^6,x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.004, size = 14, normalized size = 0.8 \[{\frac{\ln \left ( x \right ) }{{x}^{5}} \left ( b{x}^{2} \right ) ^{{\frac{5}{2}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x^2)^(5/2)/x^6,x)
[Out]
_______________________________________________________________________________________
Maxima [F] time = 0., size = 0, normalized size = 0. \[ \text{Exception raised: RuntimeError} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^2)^(5/2)/x^6,x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.273451, size = 22, normalized size = 1.22 \[ \frac{\sqrt{b x^{2}} b^{2} \log \left (x\right )}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^2)^(5/2)/x^6,x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [F] time = 0., size = 0, normalized size = 0. \[ \int \frac{\left (b x^{2}\right )^{\frac{5}{2}}}{x^{6}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x**2)**(5/2)/x**6,x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.212495, size = 12, normalized size = 0.67 \[ b^{\frac{5}{2}}{\rm ln}\left ({\left | x \right |}\right ){\rm sign}\left (x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^2)^(5/2)/x^6,x, algorithm="giac")
[Out]