Optimal. Leaf size=13 \[ b \log (x)-\frac {a}{7 x^7} \]
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Rubi [A] time = 0.00, antiderivative size = 13, normalized size of antiderivative = 1.00, 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*}
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Mathematica [A] time = 0.00, size = 13, normalized size = 1.00 \[ b \log (x)-\frac {a}{7 x^7} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.81, size = 17, normalized size = 1.31 \[ \frac {7 \, b x^{7} \log \relax (x) - a}{7 \, x^{7}} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.15, size = 18, normalized size = 1.38 \[ b \log \left ({\left | x \right |}\right ) - \frac {b x^{7} + a}{7 \, x^{7}} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 12, normalized size = 0.92 \[ b \ln \relax (x )-\frac {a}{7 x^{7}} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.02, size = 14, normalized size = 1.08 \[ \frac {1}{7} \, b \log \left (x^{7}\right ) - \frac {a}{7 \, x^{7}} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 1.03, size = 11, normalized size = 0.85 \[ b\,\ln \relax (x)-\frac {a}{7\,x^7} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.34, size = 10, normalized size = 0.77 \[ - \frac {a}{7 x^{7}} + b \log {\relax (x )} \]
Verification of antiderivative is not currently implemented for this CAS.
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