Optimal. Leaf size=10 \[ \frac{1}{5} \log \left (x^5+1\right ) \]
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Rubi [A] time = 0.0022468, antiderivative size = 10, 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 = {260} \[ \frac{1}{5} \log \left (x^5+1\right ) \]
Antiderivative was successfully verified.
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Rule 260
Rubi steps
\begin{align*} \int \frac{x^4}{1+x^5} \, dx &=\frac{1}{5} \log \left (1+x^5\right )\\ \end{align*}
Mathematica [A] time = 0.0018235, size = 10, normalized size = 1. \[ \frac{1}{5} \log \left (x^5+1\right ) \]
Antiderivative was successfully verified.
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Maple [A] time = 0.001, size = 9, normalized size = 0.9 \begin{align*}{\frac{\ln \left ({x}^{5}+1 \right ) }{5}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.982402, size = 11, normalized size = 1.1 \begin{align*} \frac{1}{5} \, \log \left (x^{5} + 1\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.61429, size = 24, normalized size = 2.4 \begin{align*} \frac{1}{5} \, \log \left (x^{5} + 1\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.088221, size = 7, normalized size = 0.7 \begin{align*} \frac{\log{\left (x^{5} + 1 \right )}}{5} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.17277, size = 12, normalized size = 1.2 \begin{align*} \frac{1}{5} \, \log \left ({\left | x^{5} + 1 \right |}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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