Optimal. Leaf size=15 \[ \frac{\cos (x)}{2}-\frac{1}{10} \cos (5 x) \]
[Out]
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Rubi [A] time = 0.0139151, antiderivative size = 15, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.111 \[ \frac{\cos (x)}{2}-\frac{1}{10} \cos (5 x) \]
Antiderivative was successfully verified.
[In] Int[Cos[3*x]*Sin[2*x],x]
[Out]
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Rubi in Sympy [A] time = 1.05248, size = 10, normalized size = 0.67 \[ \frac{\cos{\left (x \right )}}{2} - \frac{\cos{\left (5 x \right )}}{10} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(cos(3*x)*sin(2*x),x)
[Out]
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Mathematica [A] time = 0.00869426, size = 15, normalized size = 1. \[ \frac{\cos (x)}{2}-\frac{1}{10} \cos (5 x) \]
Antiderivative was successfully verified.
[In] Integrate[Cos[3*x]*Sin[2*x],x]
[Out]
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Maple [A] time = 0.025, size = 12, normalized size = 0.8 \[{\frac{\cos \left ( x \right ) }{2}}-{\frac{\cos \left ( 5\,x \right ) }{10}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(cos(3*x)*sin(2*x),x)
[Out]
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Maxima [A] time = 1.37778, size = 15, normalized size = 1. \[ -\frac{1}{10} \, \cos \left (5 \, x\right ) + \frac{1}{2} \, \cos \left (x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(3*x)*sin(2*x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.224957, size = 18, normalized size = 1.2 \[ -\frac{8}{5} \, \cos \left (x\right )^{5} + 2 \, \cos \left (x\right )^{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(3*x)*sin(2*x),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.69644, size = 26, normalized size = 1.73 \[ \frac{3 \sin{\left (2 x \right )} \sin{\left (3 x \right )}}{5} + \frac{2 \cos{\left (2 x \right )} \cos{\left (3 x \right )}}{5} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(3*x)*sin(2*x),x)
[Out]
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GIAC/XCAS [A] time = 0.200464, size = 15, normalized size = 1. \[ -\frac{1}{10} \, \cos \left (5 \, x\right ) + \frac{1}{2} \, \cos \left (x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(cos(3*x)*sin(2*x),x, algorithm="giac")
[Out]