Optimal. Leaf size=9 \[ \frac {e^{x^2}}{2} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.01, antiderivative size = 9, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {2209} \[ \frac {e^{x^2}}{2} \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 2209
Rubi steps
\begin {align*} \int e^{x^2} x \, dx &=\frac {e^{x^2}}{2}\\ \end {align*}
________________________________________________________________________________________
Mathematica [A] time = 0.00, size = 9, normalized size = 1.00 \[ \frac {e^{x^2}}{2} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.42, size = 6, normalized size = 0.67 \[ \frac {1}{2} \, e^{\left (x^{2}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 1.06, size = 6, normalized size = 0.67 \[ \frac {1}{2} \, e^{\left (x^{2}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.00, size = 7, normalized size = 0.78 \[ \frac {{\mathrm e}^{x^{2}}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.58, size = 6, normalized size = 0.67 \[ \frac {1}{2} \, e^{\left (x^{2}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.02, size = 6, normalized size = 0.67 \[ \frac {{\mathrm {e}}^{x^2}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.08, size = 5, normalized size = 0.56 \[ \frac {e^{x^{2}}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________