Optimal. Leaf size=13 \[ -5+5 e^{1+\frac {x}{2}} \]
________________________________________________________________________________________
Rubi [A] time = 0.00, antiderivative size = 11, normalized size of antiderivative = 0.85, number of steps used = 2, number of rules used = 2, integrand size = 13, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.154, Rules used = {12, 2194} \begin {gather*} 5 e^{\frac {x+2}{2}} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 12
Rule 2194
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {5}{2} \int e^{\frac {2+x}{2}} \, dx\\ &=5 e^{\frac {2+x}{2}}\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A] time = 0.00, size = 11, normalized size = 0.85 \begin {gather*} 5 e^{1+\frac {x}{2}} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.68, size = 8, normalized size = 0.62 \begin {gather*} 5 \, e^{\left (\frac {1}{2} \, x + 1\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.17, size = 8, normalized size = 0.62 \begin {gather*} 5 \, e^{\left (\frac {1}{2} \, x + 1\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.02, size = 9, normalized size = 0.69
method | result | size |
gosper | \(5 \,{\mathrm e}^{1+\frac {x}{2}}\) | \(9\) |
derivativedivides | \(5 \,{\mathrm e}^{1+\frac {x}{2}}\) | \(9\) |
default | \(5 \,{\mathrm e}^{1+\frac {x}{2}}\) | \(9\) |
norman | \(5 \,{\mathrm e}^{1+\frac {x}{2}}\) | \(9\) |
risch | \(5 \,{\mathrm e}^{1+\frac {x}{2}}\) | \(9\) |
meijerg | \(-5 \,{\mathrm e} \left (1-{\mathrm e}^{\frac {x}{2}}\right )\) | \(13\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.34, size = 8, normalized size = 0.62 \begin {gather*} 5 \, e^{\left (\frac {1}{2} \, x + 1\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 2.14, size = 8, normalized size = 0.62 \begin {gather*} 5\,{\mathrm {e}}^{x/2}\,\mathrm {e} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.07, size = 7, normalized size = 0.54 \begin {gather*} 5 e^{\frac {x}{2} + 1} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________