Optimal. Leaf size=11 \[ \frac {5 x^3}{3}+x^2 \]
________________________________________________________________________________________
Rubi [A] time = 0.00, antiderivative size = 11, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} \frac {5 x^3}{3}+x^2 \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
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 = 0.00, size = 11, normalized size = 1.00 \begin {gather*} \frac {5 x^3}{3}+x^2 \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
IntegrateAlgebraic [F] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int \left (2 x+5 x^2\right ) \, dx \end {gather*}
Verification is not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.72, size = 9, normalized size = 0.82 \begin {gather*} \frac {5}{3} x^{3} + x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 1.10, size = 9, normalized size = 0.82 \begin {gather*} \frac {5}{3} \, x^{3} + x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.00, size = 10, normalized size = 0.91 \begin {gather*} \frac {5}{3} x^{3}+x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 1.10, size = 9, normalized size = 0.82 \begin {gather*} \frac {5}{3} \, x^{3} + x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.02, size = 10, normalized size = 0.91 \begin {gather*} \frac {x^2\,\left (5\,x+3\right )}{3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.05, size = 8, normalized size = 0.73 \begin {gather*} \frac {5 x^{3}}{3} + x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________