What is the integral of (2x+1)cos(x) ?

The integral of (2x+1)cos(x) is sin(x)(2x+1)+2cos(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+1)cos(x)

\int (2 x + 1) cos (x) d x

sin (x) (2 x + 1) + 2 cos (x) + C

Solution steps

\int (2 x + 1) cos (x) d x

Apply Integration By Parts

: (2 x + 1) sin (x) - \int 2 sin (x) d x

= (2 x + 1) sin (x) - \int 2 sin (x) d x

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

= (2 x + 1) sin (x) - (- 2 cos (x))

Simplify

= sin (x) (2 x + 1) + 2 cos (x)

Add a constant to the solution

= sin (x) (2 x + 1) + 2 cos (x) + C

\int \frac{x}{( x ^{2} + a ^{2} ) ^{n}} d x

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

\int sin (sin (x)) cos (x) d x

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

\int z z - 4 d z

What is the integral of (2x+1)cos(x) ?
The integral of (2x+1)cos(x) is sin(x)(2x+1)+2cos(x)+C