Optimal. Leaf size=3 \[ \pi x \]
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Rubi [A]
time = 0.01, antiderivative size = 3, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 1, integrand size = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 1.000, Rules used = {8}
\begin {gather*} \pi x \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {align*} \int \pi \, dx &=\pi x\\ \end {align*}
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Mathematica [A]
time = 0.00, size = 3, normalized size = 1.00 \begin {gather*} \pi x \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.01, size = 4, normalized size = 1.33
method | result | size |
default | \(\pi x\) | \(4\) |
norman | \(\pi x\) | \(4\) |
risch | \(\pi x\) | \(4\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.28, size = 3, normalized size = 1.00 \begin {gather*} \pi x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.83, size = 3, normalized size = 1.00 \begin {gather*} \pi x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.00, size = 2, normalized size = 0.67 \begin {gather*} \pi x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 1.64, size = 3, normalized size = 1.00 \begin {gather*} \pi x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.00, size = 3, normalized size = 1.00 \begin {gather*} \Pi \,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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