Final Answer
$\frac{Ei\left(\sqrt{2x}\right)}{\log \left(2x\right)}+C_0$
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Step-by-step Solution
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1
Apply the formula: $\int e^{\left(a^b\right)}dx$$=\frac{Ei\left(a^b\right)}{\log \left(a\right)}+C$, where $a=2x$ and $b=\frac{1}{2}$
$\frac{Ei\left(\sqrt{2x}\right)}{\log \left(2x\right)}$
2
As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$
$\frac{Ei\left(\sqrt{2x}\right)}{\log \left(2x\right)}+C_0$
Final Answer
$\frac{Ei\left(\sqrt{2x}\right)}{\log \left(2x\right)}+C_0$