Optimal. Leaf size=8 \[ -2 \cos \left (\sqrt{x}\right ) \]
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Rubi [A] time = 0.009238, antiderivative size = 8, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 12, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.167, Rules used = {3379, 2638} \[ -2 \cos \left (\sqrt{x}\right ) \]
Antiderivative was successfully verified.
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Rule 3379
Rule 2638
Rubi steps
\begin{align*} \int \frac{\sin \left (\sqrt{x}\right )}{\sqrt{x}} \, dx &=2 \operatorname{Subst}\left (\int \sin (x) \, dx,x,\sqrt{x}\right )\\ &=-2 \cos \left (\sqrt{x}\right )\\ \end{align*}
Mathematica [A] time = 0.0102346, size = 8, normalized size = 1. \[ -2 \cos \left (\sqrt{x}\right ) \]
Antiderivative was successfully verified.
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Maple [A] time = 0.005, size = 7, normalized size = 0.9 \begin{align*} -2\,\cos \left ( \sqrt{x} \right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.938496, size = 8, normalized size = 1. \begin{align*} -2 \, \cos \left (\sqrt{x}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.62489, size = 23, normalized size = 2.88 \begin{align*} -2 \, \cos \left (\sqrt{x}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.306216, size = 8, normalized size = 1. \begin{align*} - 2 \cos{\left (\sqrt{x} \right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.1002, size = 8, normalized size = 1. \begin{align*} -2 \, \cos \left (\sqrt{x}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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