What is the integral of e^{2x}*e^{-x} ?

The integral of e^{2x}*e^{-x} is 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^{2x}*e^{-x}

\int e^{2 x} \cdot e^{- x} d x

e^{x} + C

Solution steps

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

Simplify

e^{2 x} e^{- x} : e^{x}

= \int e^{x} d x

Use the common integral:

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

= e^{x}

Add a constant to the solution

= e^{x} + C

\int_{1}^{2} \frac{( x - 4 )}{x ^{2}} d x

f (x) = 2 x^{3} - 2 x, (1, 0)

\frac{\partial}{\partial x} (x e^{x + y})

\int 2 arctan (3 y) d y

\frac{\partial}{\partial x} (9 + x ln (x y - 5))