Optimal. Leaf size=11 \[ -2 \sqrt{1-x} \]
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Rubi [A] time = 0.0009113, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.111, Rules used = {32} \[ -2 \sqrt{1-x} \]
Antiderivative was successfully verified.
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Rule 32
Rubi steps
\begin{align*} \int \frac{1}{\sqrt{1-x}} \, dx &=-2 \sqrt{1-x}\\ \end{align*}
Mathematica [A] time = 0.0027051, size = 11, normalized size = 1. \[ -2 \sqrt{1-x} \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 10, normalized size = 0.9 \begin{align*} -2\,\sqrt{1-x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.40839, size = 12, normalized size = 1.09 \begin{align*} -2 \, \sqrt{-x + 1} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.4112, size = 23, normalized size = 2.09 \begin{align*} -2 \, \sqrt{-x + 1} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.052253, size = 8, normalized size = 0.73 \begin{align*} - 2 \sqrt{1 - x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.14489, size = 12, normalized size = 1.09 \begin{align*} -2 \, \sqrt{-x + 1} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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