Optimal. Leaf size=15 \[ 2 e^{\sin (x)} \sin (x)-2 e^{\sin (x)} \]
[Out]
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Rubi [A] time = 0.0311459, antiderivative size = 15, normalized size of antiderivative = 1., number of steps used = 4, number of rules used = 3, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.333 \[ 2 e^{\sin (x)} \sin (x)-2 e^{\sin (x)} \]
Antiderivative was successfully verified.
[In] Int[E^Sin[x]*Sin[2*x],x]
[Out]
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Rubi in Sympy [F(-1)] time = 0., size = 0, normalized size = 0. \[ \text{Timed out} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp(sin(x))*sin(2*x),x)
[Out]
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Mathematica [A] time = 0.0170362, size = 11, normalized size = 0.73 \[ e^{\sin (x)} (2 \sin (x)-2) \]
Antiderivative was successfully verified.
[In] Integrate[E^Sin[x]*Sin[2*x],x]
[Out]
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Maple [A] time = 0.013, size = 14, normalized size = 0.9 \[ -2\,{{\rm e}^{\sin \left ( x \right ) }}+2\,{{\rm e}^{\sin \left ( x \right ) }}\sin \left ( x \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp(sin(x))*sin(2*x),x)
[Out]
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Maxima [A] time = 1.42882, size = 12, normalized size = 0.8 \[ 2 \,{\left (\sin \left (x\right ) - 1\right )} e^{\sin \left (x\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^sin(x)*sin(2*x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.250407, size = 12, normalized size = 0.8 \[ 2 \,{\left (\sin \left (x\right ) - 1\right )} e^{\sin \left (x\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^sin(x)*sin(2*x),x, algorithm="fricas")
[Out]
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Sympy [A] time = 3.6733, size = 15, normalized size = 1. \[ 2 e^{\sin{\left (x \right )}} \sin{\left (x \right )} - 2 e^{\sin{\left (x \right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(exp(sin(x))*sin(2*x),x)
[Out]
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GIAC/XCAS [A] time = 0.217663, size = 721, normalized size = 48.07 \[ \text{result too large to display} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^sin(x)*sin(2*x),x, algorithm="giac")
[Out]