What is the integral of e^{x/(20)} ?

The integral of e^{x/(20)} is 20e^{x/(20)}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of e^{x/(20)}

\int e^{\frac{x}{20}} d x

20 e^{\frac{x}{20}} + C

Solution steps

\int e^{\frac{x}{20}} d x

Apply u-substitution

= \int e^{u} \cdot 20 d u

Take the constant out:

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

= 20 \cdot \int e^{u} d u

Use the common integral:

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

= 20 e^{u}

Substitute back

u = \frac{x}{20}

= 20 e^{\frac{x}{20}}

Add a constant to the solution

= 20 e^{\frac{x}{20}} + C

What is the integral of e^{x/(20)} ?
The integral of e^{x/(20)} is 20e^{x/(20)}+C