Optimal. Leaf size=5 \[ -\frac{1}{x} \]
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Rubi [A] time = 0.0005682, antiderivative size = 5, 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} \[ -\frac{1}{x} \]
Antiderivative was successfully verified.
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Rule 30
Rubi steps
\begin{align*} \int \frac{1}{x^2} \, dx &=-\frac{1}{x}\\ \end{align*}
Mathematica [A] time = 0.0004322, size = 5, normalized size = 1. \[ -\frac{1}{x} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.001, size = 6, normalized size = 1.2 \begin{align*} -{x}^{-1} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.970355, size = 7, normalized size = 1.4 \begin{align*} -\frac{1}{x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.45116, size = 8, normalized size = 1.6 \begin{align*} -\frac{1}{x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.051356, size = 3, normalized size = 0.6 \begin{align*} - \frac{1}{x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.1073, size = 7, normalized size = 1.4 \begin{align*} -\frac{1}{x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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