Optimal. Leaf size=2 \[ \sin (x) \]
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Rubi [A]
time = 0.00, antiderivative size = 2, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 1, integrand size = 2, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.500, Rules used = {2717}
\begin {gather*} \sin (x) \end {gather*}
Antiderivative was successfully verified.
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Rule 2717
Rubi steps
\begin {align*} \int \cos (x) \, dx &=\sin (x)\\ \end {align*}
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Mathematica [A]
time = 0.00, size = 2, normalized size = 1.00 \begin {gather*} \sin (x) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.01, size = 3, normalized size = 1.50
method | result | size |
lookup | \(\sin \left (x \right )\) | \(3\) |
default | \(\sin \left (x \right )\) | \(3\) |
meijerg | \(\sin \left (x \right )\) | \(3\) |
risch | \(\sin \left (x \right )\) | \(3\) |
norman | \(\frac {2 \tan \left (\frac {x}{2}\right )}{1+\tan ^{2}\left (\frac {x}{2}\right )}\) | \(17\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 2.54, size = 2, normalized size = 1.00 \begin {gather*} \sin \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.52, size = 2, normalized size = 1.00 \begin {gather*} \sin \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.02, size = 2, normalized size = 1.00 \begin {gather*} \sin {\left (x \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 1.20, size = 2, normalized size = 1.00 \begin {gather*} \sin \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.03, size = 2, normalized size = 1.00 \begin {gather*} \sin \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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