Optimal. Leaf size=5 \[ e^{-1+x} \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.00, antiderivative size = 5, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 1, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, Rules used = {2225}
\begin {gather*} e^{x-1} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 2225
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=e^{-1+x}\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A]
time = 0.01, size = 5, normalized size = 1.00 \begin {gather*} e^{-1+x} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.04, size = 5, normalized size = 1.00
method | result | size |
gosper | \({\mathrm e}^{x -1}\) | \(5\) |
derivativedivides | \({\mathrm e}^{x -1}\) | \(5\) |
default | \({\mathrm e}^{x -1}\) | \(5\) |
norman | \({\mathrm e}^{x -1}\) | \(5\) |
risch | \({\mathrm e}^{x -1}\) | \(5\) |
meijerg | \(-{\mathrm e}^{-1} \left (1-{\mathrm e}^{x}\right )\) | \(11\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.26, size = 4, normalized size = 0.80 \begin {gather*} e^{\left (x - 1\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.35, size = 4, normalized size = 0.80 \begin {gather*} e^{\left (x - 1\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.02, size = 3, normalized size = 0.60 \begin {gather*} e^{x - 1} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.39, size = 4, normalized size = 0.80 \begin {gather*} e^{\left (x - 1\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [B]
time = 0.02, size = 4, normalized size = 0.80 \begin {gather*} {\mathrm {e}}^{x-1} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________