Optimal. Leaf size=15 \[ \frac{3^{x^2+1}}{2 \log (3)} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0094084, antiderivative size = 15, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.111, Rules used = {2209} \[ \frac{3^{x^2+1}}{2 \log (3)} \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 2209
Rubi steps
\begin{align*} \int 3^{1+x^2} x \, dx &=\frac{3^{1+x^2}}{2 \log (3)}\\ \end{align*}
Mathematica [A] time = 0.0020117, size = 12, normalized size = 0.8 \[ \frac{3^{x^2+1}}{\log (9)} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.024, size = 14, normalized size = 0.9 \begin{align*}{\frac{{3}^{{x}^{2}+1}}{2\,\ln \left ( 3 \right ) }} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0.96544, size = 18, normalized size = 1.2 \begin{align*} \frac{3^{x^{2} + 1}}{2 \, \log \left (3\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 0.761449, size = 32, normalized size = 2.13 \begin{align*} \frac{3^{x^{2} + 1}}{2 \, \log \left (3\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0.093969, size = 10, normalized size = 0.67 \begin{align*} \frac{3^{x^{2} + 1}}{2 \log{\left (3 \right )}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 1.19112, size = 18, normalized size = 1.2 \begin{align*} \frac{3^{x^{2} + 1}}{2 \, \log \left (3\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]