Optimal. Leaf size=14 \[ \frac{2^{\sqrt{x}+1}}{\log (2)} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0105539, antiderivative size = 14, normalized size of antiderivative = 1., 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 = {2209} \[ \frac{2^{\sqrt{x}+1}}{\log (2)} \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 2209
Rubi steps
\begin{align*} \int \frac{2^{\sqrt{x}}}{\sqrt{x}} \, dx &=\frac{2^{1+\sqrt{x}}}{\log (2)}\\ \end{align*}
Mathematica [A] time = 0.002815, size = 14, normalized size = 1. \[ \frac{2^{\sqrt{x}+1}}{\log (2)} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.018, size = 12, normalized size = 0.9 \begin{align*} 2\,{\frac{{2}^{\sqrt{x}}}{\ln \left ( 2 \right ) }} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0.963074, size = 16, normalized size = 1.14 \begin{align*} \frac{2^{\sqrt{x} + 1}}{\log \left (2\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 0.648334, size = 27, normalized size = 1.93 \begin{align*} \frac{2 \cdot 2^{\left (\sqrt{x}\right )}}{\log \left (2\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0.138863, size = 10, normalized size = 0.71 \begin{align*} \frac{2 \cdot 2^{\sqrt{x}}}{\log{\left (2 \right )}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 1.22954, size = 15, normalized size = 1.07 \begin{align*} \frac{2 \cdot 2^{\left (\sqrt{x}\right )}}{\log \left (2\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]