Optimal. Leaf size=13 \[ b \log (x)-\frac{a}{7 x^7} \]
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Rubi [A] time = 0.0045949, antiderivative size = 13, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091, Rules used = {14} \[ b \log (x)-\frac{a}{7 x^7} \]
Antiderivative was successfully verified.
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Rule 14
Rubi steps
\begin{align*} \int \frac{a+b x^7}{x^8} \, dx &=\int \left (\frac{a}{x^8}+\frac{b}{x}\right ) \, dx\\ &=-\frac{a}{7 x^7}+b \log (x)\\ \end{align*}
Mathematica [A] time = 0.0022285, size = 13, normalized size = 1. \[ b \log (x)-\frac{a}{7 x^7} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.004, size = 12, normalized size = 0.9 \begin{align*} -{\frac{a}{7\,{x}^{7}}}+b\ln \left ( x \right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.05293, size = 19, normalized size = 1.46 \begin{align*} \frac{1}{7} \, b \log \left (x^{7}\right ) - \frac{a}{7 \, x^{7}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.72718, size = 41, normalized size = 3.15 \begin{align*} \frac{7 \, b x^{7} \log \left (x\right ) - a}{7 \, x^{7}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.280122, size = 10, normalized size = 0.77 \begin{align*} - \frac{a}{7 x^{7}} + b \log{\left (x \right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.1302, size = 24, normalized size = 1.85 \begin{align*} b \log \left ({\left | x \right |}\right ) - \frac{b x^{7} + a}{7 \, x^{7}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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