Optimal. Leaf size=10 \[ \frac{1}{4} \sin ^2\left (x^2\right ) \]
[Out]
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Rubi [A] time = 0.0129177, antiderivative size = 10, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 10, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.1 \[ \frac{1}{4} \sin ^2\left (x^2\right ) \]
Antiderivative was successfully verified.
[In] Int[x*Cos[x^2]*Sin[x^2],x]
[Out]
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Rubi in Sympy [A] time = 0.993824, size = 7, normalized size = 0.7 \[ \frac{\sin ^{2}{\left (x^{2} \right )}}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x*cos(x**2)*sin(x**2),x)
[Out]
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Mathematica [A] time = 0.00431081, size = 10, normalized size = 1. \[ -\frac{1}{4} \cos ^2\left (x^2\right ) \]
Antiderivative was successfully verified.
[In] Integrate[x*Cos[x^2]*Sin[x^2],x]
[Out]
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Maple [A] time = 0.003, size = 9, normalized size = 0.9 \[ -{\frac{ \left ( \cos \left ({x}^{2} \right ) \right ) ^{2}}{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x*cos(x^2)*sin(x^2),x)
[Out]
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Maxima [A] time = 1.35312, size = 11, normalized size = 1.1 \[ -\frac{1}{4} \, \cos \left (x^{2}\right )^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x*cos(x^2)*sin(x^2),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.249941, size = 11, normalized size = 1.1 \[ -\frac{1}{4} \, \cos \left (x^{2}\right )^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x*cos(x^2)*sin(x^2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.360121, size = 7, normalized size = 0.7 \[ \frac{\sin ^{2}{\left (x^{2} \right )}}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x*cos(x**2)*sin(x**2),x)
[Out]
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GIAC/XCAS [A] time = 0.224803, size = 11, normalized size = 1.1 \[ -\frac{1}{4} \, \cos \left (x^{2}\right )^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x*cos(x^2)*sin(x^2),x, algorithm="giac")
[Out]