Optimal. Leaf size=14 \[ \frac{x^7}{7}+x^4+4 x \]
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Rubi [A] time = 0.0036466, antiderivative size = 14, normalized size of antiderivative = 1., 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} \[ \frac{x^7}{7}+x^4+4 x \]
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*}
Mathematica [A] time = 0.0004188, size = 14, normalized size = 1. \[ \frac{x^7}{7}+x^4+4 x \]
Antiderivative was successfully verified.
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Maple [A] time = 0.001, size = 13, normalized size = 0.9 \begin{align*} 4\,x+{x}^{4}+{\frac{{x}^{7}}{7}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.04816, size = 16, normalized size = 1.14 \begin{align*} \frac{1}{7} \, x^{7} + x^{4} + 4 \, x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.0112, size = 28, normalized size = 2. \begin{align*} \frac{1}{7} x^{7} + x^{4} + 4 x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.049103, size = 10, normalized size = 0.71 \begin{align*} \frac{x^{7}}{7} + x^{4} + 4 x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.12614, size = 16, normalized size = 1.14 \begin{align*} \frac{1}{7} \, x^{7} + x^{4} + 4 \, x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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