What is the integral of e^xe^{e^x} ?

The integral of e^xe^{e^x} is e^{e^x}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of e^xe^{e^x}

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

e^{e^{x}} + C

Solution steps

\int e^{x} e^{e^{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 = e^{x}

= e^{e^{x}}

Add a constant to the solution

= e^{e^{x}} + C