Optimal. Leaf size=11 \[ -2 \sqrt {1-x} \]
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Rubi [A] time = 0.00, antiderivative size = 11, 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} \[ -2 \sqrt {1-x} \]
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*}
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Mathematica [A] time = 0.00, size = 11, normalized size = 1.00 \[ -2 \sqrt {1-x} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.40, size = 9, normalized size = 0.82 \[ -2 \, \sqrt {-x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.33, size = 9, normalized size = 0.82 \[ -2 \, \sqrt {-x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 10, normalized size = 0.91 \[ -2 \sqrt {-x +1} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.89, size = 9, normalized size = 0.82 \[ -2 \, \sqrt {-x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.19, size = 9, normalized size = 0.82 \[ -2\,\sqrt {1-x} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 8, normalized size = 0.73 \[ - 2 \sqrt {1 - x} \]
Verification of antiderivative is not currently implemented for this CAS.
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