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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 $b=\frac{1}{2}$
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$\left[\frac{Ei\left(\sqrt{2x}\right)}{\log \left(2x\right)}\right]_{0}^{2}$
Learn how to solve problems step by step online. Integrate the function e^(2x)^1/2 from 0 to 2. 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}. Replace the integral's limit by a finite value. Evaluate the definite integral. Simplify the expression inside the integral.