Optimal. Leaf size=9 \[ -\frac{\cos (\pi x)}{\pi } \]
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Rubi [A] time = 0.0037205, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 4, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.25, Rules used = {2638} \[ -\frac{\cos (\pi x)}{\pi } \]
Antiderivative was successfully verified.
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Rule 2638
Rubi steps
\begin{align*} \int \sin (\pi x) \, dx &=-\frac{\cos (\pi x)}{\pi }\\ \end{align*}
Mathematica [A] time = 0.0036049, size = 9, normalized size = 1. \[ -\frac{\cos (\pi x)}{\pi } \]
Antiderivative was successfully verified.
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Maple [A] time = 0.003, size = 10, normalized size = 1.1 \begin{align*} -{\frac{\cos \left ( \pi \,x \right ) }{\pi }} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.967854, size = 12, normalized size = 1.33 \begin{align*} -\frac{\cos \left (\pi x\right )}{\pi } \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 2.02815, size = 20, normalized size = 2.22 \begin{align*} -\frac{\cos \left (\pi x\right )}{\pi } \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.060021, size = 7, normalized size = 0.78 \begin{align*} - \frac{\cos{\left (\pi x \right )}}{\pi } \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.04805, size = 12, normalized size = 1.33 \begin{align*} -\frac{\cos \left (\pi x\right )}{\pi } \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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