Optimal. Leaf size=14 \[ e^{2-x+x \left (3+x^4\right )} \]
________________________________________________________________________________________
Rubi [A] time = 0.06, antiderivative size = 10, normalized size of antiderivative = 0.71, number of steps used = 1, number of rules used = 1, integrand size = 18, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.056, Rules used = {6706} \begin {gather*} e^{x^5+2 x+2} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 6706
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=e^{2+2 x+x^5}\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A] time = 0.03, size = 10, normalized size = 0.71 \begin {gather*} e^{2+2 x+x^5} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.60, size = 9, normalized size = 0.64 \begin {gather*} e^{\left (x^{5} + 2 \, x + 2\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.71, size = 9, normalized size = 0.64 \begin {gather*} e^{\left (x^{5} + 2 \, x + 2\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.03, size = 10, normalized size = 0.71
method | result | size |
gosper | \({\mathrm e}^{x^{5}+2 x +2}\) | \(10\) |
derivativedivides | \({\mathrm e}^{x^{5}+2 x +2}\) | \(10\) |
default | \({\mathrm e}^{x^{5}+2 x +2}\) | \(10\) |
norman | \({\mathrm e}^{x^{5}+2 x +2}\) | \(10\) |
risch | \({\mathrm e}^{x^{5}+2 x +2}\) | \(10\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.55, size = 9, normalized size = 0.64 \begin {gather*} e^{\left (x^{5} + 2 \, x + 2\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.04, size = 11, normalized size = 0.79 \begin {gather*} {\mathrm {e}}^{2\,x}\,{\mathrm {e}}^{x^5}\,{\mathrm {e}}^2 \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.08, size = 8, normalized size = 0.57 \begin {gather*} e^{x^{5} + 2 x + 2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________