Optimal. Leaf size=10 \[ \frac{1}{2} e^{2 \sin (x)} \]
[Out]
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Rubi [A] time = 0.0157524, antiderivative size = 10, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.222 \[ \frac{1}{2} e^{2 \sin (x)} \]
Antiderivative was successfully verified.
[In] Int[E^(2*Sin[x])*Cos[x],x]
[Out]
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Rubi in Sympy [A] time = 1.67072, size = 7, normalized size = 0.7 \[ \frac{e^{2 \sin{\left (x \right )}}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp(2*sin(x))*cos(x),x)
[Out]
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Mathematica [A] time = 0.00846611, size = 10, normalized size = 1. \[ \frac{1}{2} e^{2 \sin (x)} \]
Antiderivative was successfully verified.
[In] Integrate[E^(2*Sin[x])*Cos[x],x]
[Out]
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Maple [A] time = 0.01, size = 8, normalized size = 0.8 \[{\frac{{{\rm e}^{2\,\sin \left ( x \right ) }}}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp(2*sin(x))*cos(x),x)
[Out]
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Maxima [A] time = 1.419, size = 9, normalized size = 0.9 \[ \frac{1}{2} \, e^{\left (2 \, \sin \left (x\right )\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(x)*e^(2*sin(x)),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.214045, size = 9, normalized size = 0.9 \[ \frac{1}{2} \, e^{\left (2 \, \sin \left (x\right )\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(x)*e^(2*sin(x)),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.354896, size = 7, normalized size = 0.7 \[ \frac{e^{2 \sin{\left (x \right )}}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(exp(2*sin(x))*cos(x),x)
[Out]
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GIAC/XCAS [A] time = 0.223314, size = 9, normalized size = 0.9 \[ \frac{1}{2} \, e^{\left (2 \, \sin \left (x\right )\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(x)*e^(2*sin(x)),x, algorithm="giac")
[Out]