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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

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