Optimal. Leaf size=9 \[ \sqrt {x^2+4} \]
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Rubi [A] time = 0.00, antiderivative size = 9, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.091, Rules used = {261} \[ \sqrt {x^2+4} \]
Antiderivative was successfully verified.
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Rule 261
Rubi steps
\begin {align*} \int \frac {x}{\sqrt {4+x^2}} \, dx &=\sqrt {4+x^2}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 1.00 \[ \sqrt {x^2+4} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.41, size = 7, normalized size = 0.78 \[ \sqrt {x^{2} + 4} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.89, size = 7, normalized size = 0.78 \[ \sqrt {x^{2} + 4} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 8, normalized size = 0.89 \[ \sqrt {x^{2}+4} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.43, size = 7, normalized size = 0.78 \[ \sqrt {x^{2} + 4} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 7, normalized size = 0.78 \[ \sqrt {x^2+4} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.15, size = 7, normalized size = 0.78 \[ \sqrt {x^{2} + 4} \]
Verification of antiderivative is not currently implemented for this CAS.
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