Optimal. Leaf size=4 \[ -2 \cos (x) \]
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Rubi [A] time = 0.01, antiderivative size = 4, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 2, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.286, Rules used = {4287, 2638} \[ -2 \cos (x) \]
Antiderivative was successfully verified.
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Rule 2638
Rule 4287
Rubi steps
\begin {align*} \int \sec (x) \sin (2 x) \, dx &=2 \int \sin (x) \, dx\\ &=-2 \cos (x)\\ \end {align*}
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Mathematica [A] time = 0.00, size = 4, normalized size = 1.00 \[ -2 \cos (x) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.42, size = 4, normalized size = 1.00 \[ -2 \, \cos \relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.09, size = 4, normalized size = 1.00 \[ -2 \, \cos \relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 5, normalized size = 1.25 \[ -2 \cos \relax (x ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.44, size = 4, normalized size = 1.00 \[ -2 \, \cos \relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 4, normalized size = 1.00 \[ -2\,\cos \relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.76, size = 5, normalized size = 1.25 \[ - 2 \cos {\relax (x )} \]
Verification of antiderivative is not currently implemented for this CAS.
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