Optimal. Leaf size=10 \[ \frac{1}{2} \sin (2 x+3) \]
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Rubi [A] time = 0.0030981, antiderivative size = 10, normalized size of antiderivative = 1., 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*}
Mathematica [A] time = 0.0042777, size = 10, normalized size = 1. \[ \frac{1}{2} \sin (2 x+3) \]
Antiderivative was successfully verified.
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Maple [A] time = 0.005, size = 9, normalized size = 0.9 \begin{align*}{\frac{\sin \left ( 3+2\,x \right ) }{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.925298, size = 11, normalized size = 1.1 \begin{align*} \frac{1}{2} \, \sin \left (2 \, x + 3\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.87985, size = 24, normalized size = 2.4 \begin{align*} \frac{1}{2} \, \sin \left (2 \, x + 3\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.111567, size = 7, normalized size = 0.7 \begin{align*} \frac{\sin{\left (2 x + 3 \right )}}{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.101, size = 11, normalized size = 1.1 \begin{align*} \frac{1}{2} \, \sin \left (2 \, x + 3\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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