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

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

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

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

Solution steps

\int sin (x) (2 x + 2) 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 \frac{16 x ^{3}}{x ^{4} + 3} d x

\int x 2 + x d x

\int 2 t^{- 6} d t

\int \frac{4 x}{1 - x ^{2}} d x

\int cos (1 + 2 x) d x

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