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

The integral of 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^{-x}

integral

e^{- x}

- e^{- x} + C

Solution steps

\int e^{- x} d x

Apply u-substitution

: \int - e^{u} d u

= \int - e^{u} d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \int e^{u} d u

Use the common integral:

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

= - e^{u}

Substitute back

u = - x

= - e^{- x}

Add a constant to the solution

= - e^{- x} + C

y = csc (x) cot (x)

y = x^{2}

(4, \frac{4 π}{3})

θ = \frac{11 π}{6}

2 x