Optimal. Leaf size=14 \[ \frac {x^7}{7}+x^4+4 x \]
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Rubi [A] time = 0.00, antiderivative size = 14, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {194} \begin {gather*} \frac {x^7}{7}+x^4+4 x \end {gather*}
Antiderivative was successfully verified.
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Rule 194
Rubi steps
\begin {align*} \int \left (2+x^3\right )^2 \, dx &=\int \left (4+4 x^3+x^6\right ) \, dx\\ &=4 x+x^4+\frac {x^7}{7}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 14, normalized size = 1.00 \begin {gather*} \frac {x^7}{7}+x^4+4 x \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [F] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int \left (2+x^3\right )^2 \, dx \end {gather*}
Verification is not applicable to the result.
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fricas [A] time = 0.97, size = 12, normalized size = 0.86 \begin {gather*} \frac {1}{7} x^{7} + x^{4} + 4 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.36, size = 12, normalized size = 0.86 \begin {gather*} \frac {1}{7} \, x^{7} + x^{4} + 4 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 13, normalized size = 0.93 \begin {gather*} \frac {1}{7} x^{7}+x^{4}+4 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.47, size = 12, normalized size = 0.86 \begin {gather*} \frac {1}{7} \, x^{7} + x^{4} + 4 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 13, normalized size = 0.93 \begin {gather*} \frac {x\,\left (x^6+7\,x^3+28\right )}{7} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 10, normalized size = 0.71 \begin {gather*} \frac {x^{7}}{7} + x^{4} + 4 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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