Optimal. Leaf size=25 \[ \frac{27 x^7}{7}+9 x^6+\frac{36 x^5}{5}+2 x^4 \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0071173, antiderivative size = 25, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091, Rules used = {611} \[ \frac{27 x^7}{7}+9 x^6+\frac{36 x^5}{5}+2 x^4 \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 611
Rubi steps
\begin{align*} \int \left (2 x+3 x^2\right )^3 \, dx &=\int \left (8 x^3+36 x^4+54 x^5+27 x^6\right ) \, dx\\ &=2 x^4+\frac{36 x^5}{5}+9 x^6+\frac{27 x^7}{7}\\ \end{align*}
Mathematica [A] time = 0.0016558, size = 25, normalized size = 1. \[ \frac{27 x^7}{7}+9 x^6+\frac{36 x^5}{5}+2 x^4 \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0., size = 22, normalized size = 0.9 \begin{align*} 2\,{x}^{4}+{\frac{36\,{x}^{5}}{5}}+9\,{x}^{6}+{\frac{27\,{x}^{7}}{7}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0.929313, size = 28, normalized size = 1.12 \begin{align*} \frac{27}{7} \, x^{7} + 9 \, x^{6} + \frac{36}{5} \, x^{5} + 2 \, x^{4} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 1.57105, size = 50, normalized size = 2. \begin{align*} \frac{27}{7} x^{7} + 9 x^{6} + \frac{36}{5} x^{5} + 2 x^{4} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0.054514, size = 22, normalized size = 0.88 \begin{align*} \frac{27 x^{7}}{7} + 9 x^{6} + \frac{36 x^{5}}{5} + 2 x^{4} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 1.04843, size = 28, normalized size = 1.12 \begin{align*} \frac{27}{7} \, x^{7} + 9 \, x^{6} + \frac{36}{5} \, x^{5} + 2 \, x^{4} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]