Optimal. Leaf size=35 \[ \frac {x+e^{-\frac {-3+\frac {1}{x}-\frac {3}{\log (x)}}{x}} x}{x \left (e^5+2 x\right )} \]
________________________________________________________________________________________
Rubi [F] time = 0.00, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} \text {\$Aborted} \end {gather*}
Verification is not applicable to the result.
[In]
[Out]
Rubi steps
Aborted
________________________________________________________________________________________
Mathematica [A] time = 0.31, size = 34, normalized size = 0.97 \begin {gather*} \frac {1+e^{\frac {3 x+(-1+3 x) \log (x)}{x^2 \log (x)}}}{e^5+2 x} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.87, size = 32, normalized size = 0.91 \begin {gather*} \frac {e^{\left (\frac {{\left (3 \, x - 1\right )} \log \relax (x) + 3 \, x}{x^{2} \log \relax (x)}\right )} + 1}{2 \, x + e^{5}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [F(-2)] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Exception raised: TypeError} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.17, size = 41, normalized size = 1.17
method | result | size |
risch | \(\frac {1}{2 x +{\mathrm e}^{5}}+\frac {{\mathrm e}^{\frac {3 x \ln \relax (x )-\ln \relax (x )+3 x}{\ln \relax (x ) x^{2}}}}{2 x +{\mathrm e}^{5}}\) | \(41\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.66, size = 36, normalized size = 1.03 \begin {gather*} \frac {{\left (e^{\left (\frac {3}{x} + \frac {3}{x \log \relax (x)}\right )} + e^{\left (\frac {1}{x^{2}}\right )}\right )} e^{\left (-\frac {1}{x^{2}}\right )}}{2 \, x + e^{5}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.89, size = 40, normalized size = 1.14 \begin {gather*} \frac {1}{2\,x+{\mathrm {e}}^5}+\frac {{\mathrm {e}}^{-\frac {1}{x^2}}\,{\mathrm {e}}^{3/x}\,{\mathrm {e}}^{\frac {3}{x\,\ln \relax (x)}}}{2\,x+{\mathrm {e}}^5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.49, size = 37, normalized size = 1.06 \begin {gather*} \frac {2}{4 x + 2 e^{5}} + \frac {e^{- \frac {- 3 x + \left (1 - 3 x\right ) \log {\relax (x )}}{x^{2} \log {\relax (x )}}}}{2 x + e^{5}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________