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

The integral of e^{e^x}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

Popular >

integral of e^{e^x}e^x

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

e^{e^{x}} + C

Solution steps

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

= e^{e^{x}}

Add a constant to the solution

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

\frac{d}{d x} (2. 5^{x})

y = x^{2} - x, (4, 14)

\int_{0}^{3} 2 π (3 - x) (9 - x^{2}) d x

- 4 e^{- x} + 1

\int 8 x e^{x} d x