Optimal. Leaf size=8 \[ \sqrt{\sin \left (x^2\right )} \]
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Rubi [A] time = 0.0127035, antiderivative size = 8, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 14, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.071, Rules used = {3441} \[ \sqrt{\sin \left (x^2\right )} \]
Antiderivative was successfully verified.
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Rule 3441
Rubi steps
\begin{align*} \int \frac{x \cos \left (x^2\right )}{\sqrt{\sin \left (x^2\right )}} \, dx &=\sqrt{\sin \left (x^2\right )}\\ \end{align*}
Mathematica [A] time = 0.0027532, size = 8, normalized size = 1. \[ \sqrt{\sin \left (x^2\right )} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.007, size = 7, normalized size = 0.9 \begin{align*} \sqrt{\sin \left ({x}^{2} \right ) } \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.955825, size = 8, normalized size = 1. \begin{align*} \sqrt{\sin \left (x^{2}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.9853, size = 22, normalized size = 2.75 \begin{align*} \sqrt{\sin \left (x^{2}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.309172, size = 7, normalized size = 0.88 \begin{align*} \sqrt{\sin{\left (x^{2} \right )}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.07353, size = 8, normalized size = 1. \begin{align*} \sqrt{\sin \left (x^{2}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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