What is the integral of (x-3)cos(x) ?

The integral of (x-3)cos(x) is sin(x)(x-3)+cos(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x-3)cos(x)

\int (x - 3) cos (x) d x

sin (x) (x - 3) + cos (x) + C

Solution steps

\int (x - 3) cos (x) d x

Apply Integration By Parts

: sin (x) (x - 3) - \int sin (x) d x

= sin (x) (x - 3) - \int sin (x) d x

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

= sin (x) (x - 3) - (- cos (x))

Simplify

= sin (x) (x - 3) + cos (x)

Add a constant to the solution

= sin (x) (x - 3) + cos (x) + C

x \to 3 + lim (e^{\frac{x}{3 - x}})

\frac{\partial}{\partial θ} (- cos (θ))

y = x, y = \frac{1}{3} x, x = 16

x \to 3 lim ((x^{2} + 4 x - 2)^{2})

\frac{d}{d a} ((x - a)^{2})

What is the integral of (x-3)cos(x) ?
The integral of (x-3)cos(x) is sin(x)(x-3)+cos(x)+C