Optimal. Leaf size=8 \[ \frac{\sin ^2(x)}{2} \]
[Out]
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Rubi [A] time = 0.0121936, antiderivative size = 8, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 5, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.4 \[ \frac{\sin ^2(x)}{2} \]
Antiderivative was successfully verified.
[In] Int[Cos[x]*Sin[x],x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \int ^{\sin{\left (x \right )}} x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(cos(x)*sin(x),x)
[Out]
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Mathematica [A] time = 0.00198805, size = 8, normalized size = 1. \[ -\frac{1}{2} \cos ^2(x) \]
Antiderivative was successfully verified.
[In] Integrate[Cos[x]*Sin[x],x]
[Out]
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Maple [A] time = 0., size = 7, normalized size = 0.9 \[{\frac{ \left ( \sin \left ( x \right ) \right ) ^{2}}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(cos(x)*sin(x),x)
[Out]
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Maxima [A] time = 1.33721, size = 8, normalized size = 1. \[ -\frac{1}{2} \, \cos \left (x\right )^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(x)*sin(x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.22059, size = 8, normalized size = 1. \[ -\frac{1}{2} \, \cos \left (x\right )^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(x)*sin(x),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.033149, size = 5, normalized size = 0.62 \[ \frac{\sin ^{2}{\left (x \right )}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(x)*sin(x),x)
[Out]
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GIAC/XCAS [A] time = 0.201486, size = 8, normalized size = 1. \[ -\frac{1}{2} \, \cos \left (x\right )^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(x)*sin(x),x, algorithm="giac")
[Out]