What is the integral of xe^{(2x+3)} ?

The integral of xe^{(2x+3)} is 1/2 e^{2x+3}x-1/4 e^{2x+3}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of xe^{(2x+3)}

\int x e^{(2 x + 3)} d x

\frac{1}{2} e^{2 x + 3} x - \frac{1}{4} e^{2 x + 3} + C

Solution steps

\int x e^{2 x + 3} d x

Apply Integration By Parts

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

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

\int \frac{1}{2} e^{2 x + 3} d x = \frac{1}{4} e^{2 x + 3}

= \frac{1}{2} e^{2 x + 3} x - \frac{1}{4} e^{2 x + 3}

Add a constant to the solution

= \frac{1}{2} e^{2 x + 3} x - \frac{1}{4} e^{2 x + 3} + C

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

\int \frac{1}{( cos ( x ) - 1 )} d x

\int \frac{sin ^{2} ( x )}{sin ( x ) + 2 cos ( x )} d x

\int sin (c x) d x

\int 2 x \cdot e^{3 x} d x

What is the integral of xe^{(2x+3)} ?
The integral of xe^{(2x+3)} is 1/2 e^{2x+3}x-1/4 e^{2x+3}+C