Optimal. Leaf size=16 \[ -\frac{\log \left (a-b x^7\right )}{7 b} \]
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Rubi [A] time = 0.0037889, antiderivative size = 16, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 14, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.071, Rules used = {260} \[ -\frac{\log \left (a-b x^7\right )}{7 b} \]
Antiderivative was successfully verified.
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Rule 260
Rubi steps
\begin{align*} \int \frac{x^6}{a-b x^7} \, dx &=-\frac{\log \left (a-b x^7\right )}{7 b}\\ \end{align*}
Mathematica [A] time = 0.0029675, size = 16, normalized size = 1. \[ -\frac{\log \left (a-b x^7\right )}{7 b} \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 16, normalized size = 1. \begin{align*} -{\frac{\ln \left ( b{x}^{7}-a \right ) }{7\,b}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.951042, size = 20, normalized size = 1.25 \begin{align*} -\frac{\log \left (b x^{7} - a\right )}{7 \, b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.43832, size = 31, normalized size = 1.94 \begin{align*} -\frac{\log \left (b x^{7} - a\right )}{7 \, b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.18938, size = 12, normalized size = 0.75 \begin{align*} - \frac{\log{\left (- a + b x^{7} \right )}}{7 b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.70198, size = 22, normalized size = 1.38 \begin{align*} -\frac{\log \left ({\left | b x^{7} - a \right |}\right )}{7 \, b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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