Optimal. Leaf size=21 \[ -\frac {21}{260} \left (a^{10/3}-x^{10/3}\right )^{26/7} \]
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Rubi [A] time = 0.00, antiderivative size = 21, normalized size of antiderivative = 1.00, 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.
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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*}
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Mathematica [A] time = 0.01, size = 21, normalized size = 1.00 \[ -\frac {21}{260} \left (a^{10/3}-x^{10/3}\right )^{26/7} \]
Antiderivative was successfully verified.
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fricas [F(-1)] time = 0.00, size = 0, normalized size = 0.00 \[ \text {Timed out} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [B] time = 0.71, size = 81, normalized size = 3.86 \[ -\frac {7}{20} \, {\left (a^{\frac {10}{3}} - x^{\frac {10}{3}}\right )}^{\frac {12}{7}} a^{\frac {20}{3}} + \frac {21}{95} \, {\left (a^{\frac {10}{3}} - x^{\frac {10}{3}}\right )}^{\frac {19}{7}} a^{\frac {10}{3}} + \frac {7}{380} \, {\left (19 \, {\left (a^{\frac {10}{3}} - x^{\frac {10}{3}}\right )}^{\frac {12}{7}} a^{\frac {10}{3}} - 12 \, {\left (a^{\frac {10}{3}} - x^{\frac {10}{3}}\right )}^{\frac {19}{7}}\right )} a^{\frac {10}{3}} - \frac {21}{260} \, {\left (a^{\frac {10}{3}} - x^{\frac {10}{3}}\right )}^{\frac {26}{7}} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 14, normalized size = 0.67 \[ -\frac {21 \left (a^{\frac {10}{3}}-x^{\frac {10}{3}}\right )^{\frac {26}{7}}}{260} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.47, size = 13, normalized size = 0.62 \[ -\frac {21}{260} \, {\left (a^{\frac {10}{3}} - x^{\frac {10}{3}}\right )}^{\frac {26}{7}} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 2.04, size = 13, normalized size = 0.62 \[ -\frac {21\,{\left (a^{10/3}-x^{10/3}\right )}^{26/7}}{260} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [F(-1)] time = 0.00, size = 0, normalized size = 0.00 \[ \text {Timed out} \]
Verification of antiderivative is not currently implemented for this CAS.
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