Optimal. Leaf size=11 \[ \frac{1}{30} \left (x^5+1\right )^6 \]
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Rubi [A] time = 0.0018053, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091, Rules used = {261} \[ \frac{1}{30} \left (x^5+1\right )^6 \]
Antiderivative was successfully verified.
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Rule 261
Rubi steps
\begin{align*} \int x^4 \left (1+x^5\right )^5 \, dx &=\frac{1}{30} \left (1+x^5\right )^6\\ \end{align*}
Mathematica [B] time = 0.0012812, size = 43, normalized size = 3.91 \[ \frac{x^{30}}{30}+\frac{x^{25}}{5}+\frac{x^{20}}{2}+\frac{2 x^{15}}{3}+\frac{x^{10}}{2}+\frac{x^5}{5} \]
Antiderivative was successfully verified.
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Maple [B] time = 0.001, size = 32, normalized size = 2.9 \begin{align*}{\frac{{x}^{30}}{30}}+{\frac{{x}^{25}}{5}}+{\frac{{x}^{20}}{2}}+{\frac{2\,{x}^{15}}{3}}+{\frac{{x}^{10}}{2}}+{\frac{{x}^{5}}{5}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.94927, size = 12, normalized size = 1.09 \begin{align*} \frac{1}{30} \,{\left (x^{5} + 1\right )}^{6} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [B] time = 0.357088, size = 88, normalized size = 8. \begin{align*} \frac{1}{30} x^{30} + \frac{1}{5} x^{25} + \frac{1}{2} x^{20} + \frac{2}{3} x^{15} + \frac{1}{2} x^{10} + \frac{1}{5} x^{5} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [B] time = 0.05131, size = 31, normalized size = 2.82 \begin{align*} \frac{x^{30}}{30} + \frac{x^{25}}{5} + \frac{x^{20}}{2} + \frac{2 x^{15}}{3} + \frac{x^{10}}{2} + \frac{x^{5}}{5} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.09281, size = 12, normalized size = 1.09 \begin{align*} \frac{1}{30} \,{\left (x^{5} + 1\right )}^{6} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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