Optimal. Leaf size=4 \[ -\cos (x) \]
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Rubi [A] time = 0.02, antiderivative size = 4, normalized size of antiderivative = 1.00, number of steps used = 3, number of rules used = 1, integrand size = 20, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.050, Rules used = {4284} \[ -\cos (x) \]
Antiderivative was successfully verified.
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Rule 4284
Rubi steps
\begin {align*} \int (-\cos (3 x) \sin (2 x)+\cos (2 x) \sin (3 x)) \, dx &=-\int \cos (3 x) \sin (2 x) \, dx+\int \cos (2 x) \sin (3 x) \, dx\\ &=-\cos (x)\\ \end {align*}
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Mathematica [A] time = 0.00, size = 4, normalized size = 1.00 \[ -\cos (x) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.69, size = 4, normalized size = 1.00 \[ -\cos \relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.14, size = 4, normalized size = 1.00 \[ -\cos \relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.16, size = 5, normalized size = 1.25 \[ -\cos \relax (x ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.32, size = 4, normalized size = 1.00 \[ -\cos \relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.07, size = 4, normalized size = 1.00 \[ -\cos \relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [B] time = 0.69, size = 20, normalized size = 5.00 \[ - \sin {\left (2 x \right )} \sin {\left (3 x \right )} - \cos {\left (2 x \right )} \cos {\left (3 x \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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