Optimal. Leaf size=13 \[ -\frac{2}{3} (1-x)^{3/2} \]
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Rubi [A] time = 0.0008786, antiderivative size = 13, 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} \[ -\frac{2}{3} (1-x)^{3/2} \]
Antiderivative was successfully verified.
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Rule 32
Rubi steps
\begin{align*} \int \sqrt{1-x} \, dx &=-\frac{2}{3} (1-x)^{3/2}\\ \end{align*}
Mathematica [A] time = 0.0030709, size = 13, normalized size = 1. \[ -\frac{2}{3} (1-x)^{3/2} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.003, size = 10, normalized size = 0.8 \begin{align*} -{\frac{2}{3} \left ( 1-x \right ) ^{{\frac{3}{2}}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.15072, size = 12, normalized size = 0.92 \begin{align*} -\frac{2}{3} \,{\left (-x + 1\right )}^{\frac{3}{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.41788, size = 35, normalized size = 2.69 \begin{align*} \frac{2}{3} \,{\left (x - 1\right )} \sqrt{-x + 1} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.052573, size = 10, normalized size = 0.77 \begin{align*} - \frac{2 \left (1 - x\right )^{\frac{3}{2}}}{3} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.10317, size = 12, normalized size = 0.92 \begin{align*} -\frac{2}{3} \,{\left (-x + 1\right )}^{\frac{3}{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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