Optimal. Leaf size=13 \[ -\frac {2}{3} (1-x)^{3/2} \]
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Rubi [A] time = 0.00, antiderivative size = 13, normalized size of antiderivative = 1.00, 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*}
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Mathematica [A] time = 0.00, size = 13, normalized size = 1.00 \[ -\frac {2}{3} (1-x)^{3/2} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.40, size = 12, normalized size = 0.92 \[ \frac {2}{3} \, {\left (x - 1\right )} \sqrt {-x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.35, size = 9, normalized size = 0.69 \[ -\frac {2}{3} \, {\left (-x + 1\right )}^{\frac {3}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 10, normalized size = 0.77 \[ -\frac {2 \left (-x +1\right )^{\frac {3}{2}}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.81, size = 9, normalized size = 0.69 \[ -\frac {2}{3} \, {\left (-x + 1\right )}^{\frac {3}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.51, size = 9, normalized size = 0.69 \[ -\frac {2\,{\left (1-x\right )}^{3/2}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 10, normalized size = 0.77 \[ - \frac {2 \left (1 - x\right )^{\frac {3}{2}}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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