What is the integral of x*cos(x) ?

The integral of x*cos(x) is xsin(x)+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*cos(x)

\int x \cdot cos (x) d x

x sin (x) + cos (x) + C

Solution steps

\int x cos (x) d x

Apply Integration By Parts

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

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

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

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

Simplify

= x sin (x) + cos (x)

Add a constant to the solution

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

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

\frac{d y}{d x} = 7 y \cdot e^{(x + 9)}

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

f (x) = csc^{7} (2 x^{π} + π^{3})

y = x^{2} - 7 x + 7, (4, 0)