Optimal. Leaf size=14 \[ \frac {2^{1+\sqrt {x}}}{\log (2)} \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.01, antiderivative size = 14, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 1, integrand size = 13, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.077, Rules used = {2240}
\begin {gather*} \frac {2^{\sqrt {x}+1}}{\log (2)} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 2240
Rubi steps
\begin {align*} \int \frac {2^{\sqrt {x}}}{\sqrt {x}} \, dx &=\frac {2^{1+\sqrt {x}}}{\log (2)}\\ \end {align*}
________________________________________________________________________________________
Mathematica [A]
time = 0.00, size = 14, normalized size = 1.00 \begin {gather*} \frac {2^{1+\sqrt {x}}}{\log (2)} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.02, size = 12, normalized size = 0.86
method | result | size |
derivativedivides | \(\frac {2 \,2^{\sqrt {x}}}{\ln \left (2\right )}\) | \(12\) |
default | \(\frac {2 \,2^{\sqrt {x}}}{\ln \left (2\right )}\) | \(12\) |
meijerg | \(-\frac {2 \left (1-{\mathrm e}^{\sqrt {x}\, \ln \left (2\right )}\right )}{\ln \left (2\right )}\) | \(18\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 1.53, size = 12, normalized size = 0.86 \begin {gather*} \frac {2^{\sqrt {x} + 1}}{\log \left (2\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 1.32, size = 11, normalized size = 0.79 \begin {gather*} \frac {2 \cdot 2^{\left (\sqrt {x}\right )}}{\log \left (2\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.05, size = 10, normalized size = 0.71 \begin {gather*} \frac {2 \cdot 2^{\sqrt {x}}}{\log {\left (2 \right )}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.52, size = 11, normalized size = 0.79 \begin {gather*} \frac {2 \cdot 2^{\left (\sqrt {x}\right )}}{\log \left (2\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [B]
time = 0.10, size = 11, normalized size = 0.79 \begin {gather*} \frac {2\,2^{\sqrt {x}}}{\ln \left (2\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________