Optimal. Leaf size=16 \[ 20 x \left (1+\frac {e^x}{x}-\log (x)\right ) \]
________________________________________________________________________________________
Rubi [A] time = 0.00, antiderivative size = 14, normalized size of antiderivative = 0.88, number of steps used = 3, number of rules used = 2, integrand size = 10, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, Rules used = {2194, 2295} \begin {gather*} 20 x+20 e^x-20 x \log (x) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 2194
Rule 2295
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=20 \int e^x \, dx-20 \int \log (x) \, dx\\ &=20 e^x+20 x-20 x \log (x)\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A] time = 0.00, size = 12, normalized size = 0.75 \begin {gather*} 20 \left (e^x+x-x \log (x)\right ) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.66, size = 13, normalized size = 0.81 \begin {gather*} -20 \, x \log \relax (x) + 20 \, x + 20 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.14, size = 13, normalized size = 0.81 \begin {gather*} -20 \, x \log \relax (x) + 20 \, x + 20 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.02, size = 14, normalized size = 0.88
method | result | size |
default | \(20 \,{\mathrm e}^{x}-20 x \ln \relax (x )+20 x\) | \(14\) |
norman | \(20 \,{\mathrm e}^{x}-20 x \ln \relax (x )+20 x\) | \(14\) |
risch | \(20 \,{\mathrm e}^{x}-20 x \ln \relax (x )+20 x\) | \(14\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.36, size = 13, normalized size = 0.81 \begin {gather*} -20 \, x \log \relax (x) + 20 \, x + 20 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 5.29, size = 13, normalized size = 0.81 \begin {gather*} 20\,x+20\,{\mathrm {e}}^x-20\,x\,\ln \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.24, size = 14, normalized size = 0.88 \begin {gather*} - 20 x \log {\relax (x )} + 20 x + 20 e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________