Optimal. Leaf size=11 \[ \frac{5 x^3}{3}+x^2 \]
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Rubi [A] time = 0.0014909, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \frac{5 x^3}{3}+x^2 \]
Antiderivative was successfully verified.
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Rubi steps
\begin{align*} \int \left (2 x+5 x^2\right ) \, dx &=x^2+\frac{5 x^3}{3}\\ \end{align*}
Mathematica [A] time = 0.0000475, size = 11, normalized size = 1. \[ \frac{5 x^3}{3}+x^2 \]
Antiderivative was successfully verified.
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Maple [A] time = 0.001, size = 10, normalized size = 0.9 \begin{align*}{x}^{2}+{\frac{5\,{x}^{3}}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.969249, size = 12, normalized size = 1.09 \begin{align*} \frac{5}{3} \, x^{3} + x^{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.9637, size = 20, normalized size = 1.82 \begin{align*} \frac{5}{3} x^{3} + x^{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.048115, size = 8, normalized size = 0.73 \begin{align*} \frac{5 x^{3}}{3} + x^{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.05408, size = 12, normalized size = 1.09 \begin{align*} \frac{5}{3} \, x^{3} + x^{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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