Optimal. Leaf size=17 \[ -\frac{a}{9 x^9}-\frac{b}{8 x^8} \]
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Rubi [A] time = 0.0047767, antiderivative size = 17, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.111, Rules used = {43} \[ -\frac{a}{9 x^9}-\frac{b}{8 x^8} \]
Antiderivative was successfully verified.
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Rule 43
Rubi steps
\begin{align*} \int \frac{a+b x}{x^{10}} \, dx &=\int \left (\frac{a}{x^{10}}+\frac{b}{x^9}\right ) \, dx\\ &=-\frac{a}{9 x^9}-\frac{b}{8 x^8}\\ \end{align*}
Mathematica [A] time = 0.0036081, size = 17, normalized size = 1. \[ -\frac{a}{9 x^9}-\frac{b}{8 x^8} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.003, size = 14, normalized size = 0.8 \begin{align*} -{\frac{a}{9\,{x}^{9}}}-{\frac{b}{8\,{x}^{8}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.03029, size = 18, normalized size = 1.06 \begin{align*} -\frac{9 \, b x + 8 \, a}{72 \, x^{9}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.72476, size = 34, normalized size = 2. \begin{align*} -\frac{9 \, b x + 8 \, a}{72 \, x^{9}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.412731, size = 14, normalized size = 0.82 \begin{align*} - \frac{8 a + 9 b x}{72 x^{9}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.21106, size = 18, normalized size = 1.06 \begin{align*} -\frac{9 \, b x + 8 \, a}{72 \, x^{9}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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