Optimal. Leaf size=8 \[ \sqrt {\sin \left (x^2\right )} \]
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Rubi [A] time = 0.01, antiderivative size = 8, normalized size of antiderivative = 1.00, 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*}
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Mathematica [A] time = 0.00, size = 8, normalized size = 1.00 \[ \sqrt {\sin \left (x^2\right )} \]
Antiderivative was successfully verified.
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fricas [A] time = 2.08, size = 6, normalized size = 0.75 \[ \sqrt {\sin \left (x^{2}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.14, size = 6, normalized size = 0.75 \[ \sqrt {\sin \left (x^{2}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 7, normalized size = 0.88 \[ \sqrt {\sin }\left (x^{2}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.31, size = 6, normalized size = 0.75 \[ \sqrt {\sin \left (x^{2}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.19, size = 6, normalized size = 0.75 \[ \sqrt {\sin \left (x^2\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.29, size = 7, normalized size = 0.88 \[ \sqrt {\sin {\left (x^{2} \right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
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