Optimal. Leaf size=17 \[ \frac {6 x^{11/6}}{11}-\frac {x^4}{4} \]
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Rubi [A]
time = 0.00, antiderivative size = 17, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 0, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {}
\begin {gather*} \frac {6 x^{11/6}}{11}-\frac {x^4}{4} \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {align*} \int \left (x^{5/6}-x^3\right ) \, dx &=\frac {6 x^{11/6}}{11}-\frac {x^4}{4}\\ \end {align*}
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Mathematica [A]
time = 0.00, size = 17, normalized size = 1.00 \begin {gather*} \frac {6 x^{11/6}}{11}-\frac {x^4}{4} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.04, size = 12, normalized size = 0.71
method | result | size |
derivativedivides | \(\frac {6 x^{\frac {11}{6}}}{11}-\frac {x^{4}}{4}\) | \(12\) |
default | \(\frac {6 x^{\frac {11}{6}}}{11}-\frac {x^{4}}{4}\) | \(12\) |
risch | \(\frac {6 x^{\frac {11}{6}}}{11}-\frac {x^{4}}{4}\) | \(12\) |
trager | \(-\frac {\left (x^{3}+x^{2}+x +1\right ) \left (-1+x \right )}{4}+\frac {6 x^{\frac {11}{6}}}{11}\) | \(21\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.27, size = 11, normalized size = 0.65 \begin {gather*} -\frac {1}{4} \, x^{4} + \frac {6}{11} \, x^{\frac {11}{6}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.68, size = 11, normalized size = 0.65 \begin {gather*} -\frac {1}{4} \, x^{4} + \frac {6}{11} \, x^{\frac {11}{6}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 12, normalized size = 0.71 \begin {gather*} \frac {6 x^{\frac {11}{6}}}{11} - \frac {x^{4}}{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 1.89, size = 11, normalized size = 0.65 \begin {gather*} -\frac {1}{4} \, x^{4} + \frac {6}{11} \, x^{\frac {11}{6}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.03, size = 11, normalized size = 0.65 \begin {gather*} \frac {6\,x^{11/6}}{11}-\frac {x^4}{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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