Optimal. Leaf size=9 \[ e^{-35+x+\log ^2(x)} \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.09, antiderivative size = 9, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 1, integrand size = 19, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.053, Rules used = {6838}
\begin {gather*} e^{x+\log ^2(x)-35} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 6838
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=e^{-35+x+\log ^2(x)}\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A]
time = 0.02, size = 9, normalized size = 1.00 \begin {gather*} e^{-35+x+\log ^2(x)} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.01, size = 9, normalized size = 1.00
method | result | size |
norman | \({\mathrm e}^{\ln \left (x \right )^{2}+x -35}\) | \(9\) |
risch | \({\mathrm e}^{\ln \left (x \right )^{2}+x -35}\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.33, size = 8, normalized size = 0.89 \begin {gather*} e^{\left (\log \left (x\right )^{2} + x - 35\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.38, size = 8, normalized size = 0.89 \begin {gather*} e^{\left (\log \left (x\right )^{2} + x - 35\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.08, size = 8, normalized size = 0.89 \begin {gather*} e^{x + \log {\left (x \right )}^{2} - 35} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.41, size = 8, normalized size = 0.89 \begin {gather*} e^{\left (\log \left (x\right )^{2} + x - 35\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [B]
time = 4.38, size = 10, normalized size = 1.11 \begin {gather*} {\mathrm {e}}^{-35}\,{\mathrm {e}}^{{\ln \left (x\right )}^2}\,{\mathrm {e}}^x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________