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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IntegrateAlgebraic [A] time = 0.02, size = 17, normalized size = 1.00 \begin {gather*} \frac {1}{44} \left (24 x^{11/6}-11 x^4\right ) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.28, 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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giac [A] time = 1.06, 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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maple [A] time = 0.00, size = 12, normalized size = 0.71 \begin {gather*} -\frac {x^{4}}{4}+\frac {6 x^{\frac {11}{6}}}{11} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.07, 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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sympy [A] time = 0.06, 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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