Evaluate the following definite integral: `int e^(logsqrt{x})/x dx`

Explanation

`int frac{e^{log sqrt{x}}}{x} d x`
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Rightarrow int frac{e^{-frac{1}{log x}}}{x} d x`

Take `log {x}={t}`
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Rightarrow frac{1}{{x}} {dx}={dt}`
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Rightarrow int e 2^{t} d t`
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Rightarrow frac{1}{2} e 2^{t}+C`
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Rightarrow frac{1}{2} cdot e^{frac{log x}{2}+C}`
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