Optimal. Leaf size=7 \[ -\frac{1}{9 x^9} \]
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Rubi [A] time = 0.0004806, antiderivative size = 7, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 3, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.333, Rules used = {30} \[ -\frac{1}{9 x^9} \]
Antiderivative was successfully verified.
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Rule 30
Rubi steps
\begin{align*} \int \frac{1}{x^{10}} \, dx &=-\frac{1}{9 x^9}\\ \end{align*}
Mathematica [A] time = 0.0001022, size = 7, normalized size = 1. \[ -\frac{1}{9 x^9} \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 6, normalized size = 0.9 \begin{align*} -{\frac{1}{9\,{x}^{9}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.07673, size = 7, normalized size = 1. \begin{align*} -\frac{1}{9 \, x^{9}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.55583, size = 14, normalized size = 2. \begin{align*} -\frac{1}{9 \, x^{9}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.070336, size = 7, normalized size = 1. \begin{align*} - \frac{1}{9 x^{9}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.20951, size = 7, normalized size = 1. \begin{align*} -\frac{1}{9 \, x^{9}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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