Optimal. Leaf size=13 \[ -\sqrt {3-x^2} \]
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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 = 13, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.077, Rules used = {261} \[ -\sqrt {3-x^2} \]
Antiderivative was successfully verified.
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Rule 261
Rubi steps
\begin {align*} \int \frac {x}{\sqrt {3-x^2}} \, dx &=-\sqrt {3-x^2}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 13, normalized size = 1.00 \[ -\sqrt {3-x^2} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.41, size = 11, normalized size = 0.85 \[ -\sqrt {-x^{2} + 3} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.01, size = 11, normalized size = 0.85 \[ -\sqrt {-x^{2} + 3} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 12, normalized size = 0.92 \[ -\sqrt {-x^{2}+3} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.48, size = 11, normalized size = 0.85 \[ -\sqrt {-x^{2} + 3} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.17, size = 11, normalized size = 0.85 \[ -\sqrt {3-x^2} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.15, size = 8, normalized size = 0.62 \[ - \sqrt {3 - x^{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
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