Optimal. Leaf size=21 \[ -\frac{21}{260} \left (a^{10/3}-x^{10/3}\right )^{26/7} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0044601, antiderivative size = 21, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 23, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.043, Rules used = {261} \[ -\frac{21}{260} \left (a^{10/3}-x^{10/3}\right )^{26/7} \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 261
Rubi steps
\begin{align*} \int x^{7/3} \left (a^{10/3}-x^{10/3}\right )^{19/7} \, dx &=-\frac{21}{260} \left (a^{10/3}-x^{10/3}\right )^{26/7}\\ \end{align*}
Mathematica [A] time = 0.010714, size = 21, normalized size = 1. \[ -\frac{21}{260} \left (a^{10/3}-x^{10/3}\right )^{26/7} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.003, size = 14, normalized size = 0.7 \begin{align*} -{\frac{21}{260} \left ({a}^{{\frac{10}{3}}}-{x}^{{\frac{10}{3}}} \right ) ^{{\frac{26}{7}}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0.993103, size = 18, normalized size = 0.86 \begin{align*} -\frac{21}{260} \,{\left (a^{\frac{10}{3}} - x^{\frac{10}{3}}\right )}^{\frac{26}{7}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [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]
________________________________________________________________________________________
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 [B] time = 1.27111, size = 109, normalized size = 5.19 \begin{align*} -\frac{7}{20} \,{\left (a^{\frac{10}{3}} - x^{\frac{10}{3}}\right )}^{\frac{12}{7}} a^{\frac{20}{3}} + \frac{21}{95} \,{\left (a^{\frac{10}{3}} - x^{\frac{10}{3}}\right )}^{\frac{19}{7}} a^{\frac{10}{3}} + \frac{7}{380} \,{\left (19 \,{\left (a^{\frac{10}{3}} - x^{\frac{10}{3}}\right )}^{\frac{12}{7}} a^{\frac{10}{3}} - 12 \,{\left (a^{\frac{10}{3}} - x^{\frac{10}{3}}\right )}^{\frac{19}{7}}\right )} a^{\frac{10}{3}} - \frac{21}{260} \,{\left (a^{\frac{10}{3}} - x^{\frac{10}{3}}\right )}^{\frac{26}{7}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]