What is the integral of (e^{2sqrt(x)})/(sqrt(x)) ?

The integral of (e^{2sqrt(x)})/(sqrt(x)) is e^{2sqrt(x)}+C

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integral of (e^{2sqrt(x)})/(sqrt(x))

\int \frac{e ^{2 x}}{x} d x

e^{2 x} + C

Solution steps

\int \frac{e ^{2 x}}{x} d x

Apply u-substitution

: \int e^{u} d u

= \int e^{u} d u

Use the common integral:

\int e^{u} d u = e^{u}

= e^{u}

Substitute back

u = 2 x

= e^{2 x}

Add a constant to the solution

= e^{2 x} + C

\frac{d}{d x} (\frac{3}{x ^{2} - 1})

\int sin (3 x) sin (7 x) d x

\frac{d}{d x} (- x^{\frac{2}{3}})

x \to 1 lim (\frac{x ^{3} + 1}{x + 1})

What is the integral of (e^{2sqrt(x)})/(sqrt(x)) ?
The integral of (e^{2sqrt(x)})/(sqrt(x)) is e^{2sqrt(x)}+C