Optimal. Leaf size=10 \[ \frac {1}{2} \sin (2 x+3) \]
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Rubi [A] time = 0.00, antiderivative size = 10, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 6, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {2637} \[ \frac {1}{2} \sin (2 x+3) \]
Antiderivative was successfully verified.
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Rule 2637
Rubi steps
\begin {align*} \int \cos (3+2 x) \, dx &=\frac {1}{2} \sin (3+2 x)\\ \end {align*}
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Mathematica [A] time = 0.01, size = 10, normalized size = 1.00 \[ \frac {1}{2} \sin (2 x+3) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.43, size = 8, normalized size = 0.80 \[ \frac {1}{2} \, \sin \left (2 \, x + 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.04, size = 8, normalized size = 0.80 \[ \frac {1}{2} \, \sin \left (2 \, x + 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 9, normalized size = 0.90 \[ \frac {\sin \left (2 x +3\right )}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.52, size = 8, normalized size = 0.80 \[ \frac {1}{2} \, \sin \left (2 \, x + 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.07, size = 8, normalized size = 0.80 \[ \frac {\sin \left (2\,x+3\right )}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.12, size = 7, normalized size = 0.70 \[ \frac {\sin {\left (2 x + 3 \right )}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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