Optimal. Leaf size=5 \[ -\sin (\cos (x)) \]
[Out]
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Rubi [A] time = 0.0147589, antiderivative size = 5, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 6, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.333 \[ -\sin (\cos (x)) \]
Antiderivative was successfully verified.
[In] Int[Cos[Cos[x]]*Sin[x],x]
[Out]
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Rubi in Sympy [A] time = 29.4721, size = 5, normalized size = 1. \[ - \sin{\left (\cos{\left (x \right )} \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(cos(cos(x))*sin(x),x)
[Out]
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Mathematica [A] time = 2.11923, size = 5, normalized size = 1. \[ -\sin (\cos (x)) \]
Antiderivative was successfully verified.
[In] Integrate[Cos[Cos[x]]*Sin[x],x]
[Out]
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Maple [A] time = 0.012, size = 6, normalized size = 1.2 \[ -\sin \left ( \cos \left ( x \right ) \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(cos(cos(x))*sin(x),x)
[Out]
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Maxima [A] time = 1.32667, size = 7, normalized size = 1.4 \[ -\sin \left (\cos \left (x\right )\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(cos(x))*sin(x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.235119, size = 27, normalized size = 5.4 \[ \sin \left (\frac{\tan \left (\frac{1}{2} \, x\right )^{2} - 1}{\tan \left (\frac{1}{2} \, x\right )^{2} + 1}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(cos(x))*sin(x),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.735445, size = 5, normalized size = 1. \[ - \sin{\left (\cos{\left (x \right )} \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(cos(x))*sin(x),x)
[Out]
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GIAC/XCAS [A] time = 0.207089, size = 7, normalized size = 1.4 \[ -\sin \left (\cos \left (x\right )\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(cos(x))*sin(x),x, algorithm="giac")
[Out]