Optimal. Leaf size=16 \[ 2+\frac {1}{4} \left (2-729 e^2+x^4\right ) \]
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Rubi [A]
time = 0.00, antiderivative size = 7, normalized size of antiderivative = 0.44, number of steps
used = 1, number of rules used = 1, integrand size = 3, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.333, Rules used = {30}
\begin {gather*} \frac {x^4}{4} \end {gather*}
Antiderivative was successfully verified.
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Rule 30
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {x^4}{4}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 7, normalized size = 0.44 \begin {gather*} \frac {x^4}{4} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.00, size = 6, normalized size = 0.38
method | result | size |
gosper | \(\frac {x^{4}}{4}\) | \(6\) |
default | \(\frac {x^{4}}{4}\) | \(6\) |
norman | \(\frac {x^{4}}{4}\) | \(6\) |
risch | \(\frac {x^{4}}{4}\) | \(6\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.27, size = 5, normalized size = 0.31 \begin {gather*} \frac {1}{4} \, x^{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.34, size = 5, normalized size = 0.31 \begin {gather*} \frac {1}{4} \, x^{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 3, normalized size = 0.19 \begin {gather*} \frac {x^{4}}{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 5, normalized size = 0.31 \begin {gather*} \frac {1}{4} \, x^{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.04, size = 5, normalized size = 0.31 \begin {gather*} \frac {x^4}{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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