What is the integral of e^{(5x+3)} ?

The integral of e^{(5x+3)} is 1/5 e^{5x+3}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^{(5x+3)}

\int e^{(5 x + 3)} d x

\frac{1}{5} e^{5 x + 3} + C

Solution steps

\int e^{5 x + 3} d x

Apply u-substitution

: \int e^{u} \frac{1}{5} d u

= \int e^{u} \frac{1}{5} d u

Take the constant out:

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

= \frac{1}{5} \cdot \int e^{u} d u

Use the common integral:

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

= \frac{1}{5} e^{u}

Substitute back

u = 5 x + 3

= \frac{1}{5} e^{5 x + 3}

Add a constant to the solution

= \frac{1}{5} e^{5 x + 3} + C

\int \frac{9}{x ^{5}} d x

\int \frac{x ^{2}}{3 x - 1} d x

\int \frac{sin ( \frac{x}{2} )}{2} d x

\int \frac{1}{t ^{2} + 3} d t

\int (\frac{x ^{3} - 1}{x})^{2} d x

What is the integral of e^{(5x+3)} ?
The integral of e^{(5x+3)} is 1/5 e^{5x+3}+C