What is the integral of (2x+2)sin(x) ?

The integral of (2x+2)sin(x) is -cos(x)(2x+2)+2sin(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (2x+2)sin(x)

\int (2 x + 2) sin (x) d x

- cos (x) (2 x + 2) + 2 sin (x) + C

Solution steps

\int (2 x + 2) sin (x) d x

Apply Integration By Parts

: - cos (x) (2 x + 2) - \int - 2 cos (x) d x

= - cos (x) (2 x + 2) - \int - 2 cos (x) d x

\int - 2 cos (x) d x = - 2 sin (x)

= - cos (x) (2 x + 2) - (- 2 sin (x))

Simplify

= - cos (x) (2 x + 2) + 2 sin (x)

Add a constant to the solution

= - cos (x) (2 x + 2) + 2 sin (x) + C

\int 8 x - 5 3 x d x

\int 3 x (5 x^{2} + 3)^{7} d x

\int x^{3} e^{5 x^{2}} d x

\int \frac{x ^{3}}{25 - x ^{4}} d x

\int \frac{( x + 7 ) ^{5}}{2 x} d x

What is the integral of (2x+2)sin(x) ?
The integral of (2x+2)sin(x) is -cos(x)(2x+2)+2sin(x)+C