Optimal. Leaf size=9 \[ -\frac {\cos (\pi x)}{\pi } \]
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Rubi [A] time = 0.00, antiderivative size = 9, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 4, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.250, 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*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 1.00 \[ -\frac {\cos (\pi x)}{\pi } \]
Antiderivative was successfully verified.
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fricas [A] time = 0.41, size = 9, normalized size = 1.00 \[ -\frac {\cos \left (\pi x\right )}{\pi } \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.93, size = 9, normalized size = 1.00 \[ -\frac {\cos \left (\pi x\right )}{\pi } \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 10, normalized size = 1.11 \[ -\frac {\cos \left (\pi x \right )}{\pi } \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.50, size = 9, normalized size = 1.00 \[ -\frac {\cos \left (\pi x\right )}{\pi } \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 9, normalized size = 1.00 \[ -\frac {\cos \left (\Pi \,x\right )}{\Pi } \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 7, normalized size = 0.78 \[ - \frac {\cos {\left (\pi x \right )}}{\pi } \]
Verification of antiderivative is not currently implemented for this CAS.
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