What is the integral from 0 to pi of xcos(x) ?

The integral from 0 to pi of xcos(x) is -2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to pi of xcos(x)

\int_{0}^{π} x cos (x) d x

- 2

Solution steps

\int_{0}^{π} x cos (x) d x

Apply Integration By Parts

: [x sin (x) - \int sin (x) d x]_{0}^{π}

= [x sin (x) - \int sin (x) d x]_{0}^{π}

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

= [x sin (x) - (- cos (x))]_{0}^{π}

Simplify

= [x sin (x) + cos (x)]_{0}^{π}

Compute the boundaries:

- 2

= - 2

\frac{\partial}{\partial z} (4 z e^{x yz})

f (2) = \frac{3 x + 2}{x - 1}

\int sin^{4} (3 x) cos^{2} (3 x) d x

\frac{\partial}{\partial x} ((8 + 23 x) y^{t a n (x)})

f (t) = ln (t^{2} + 3)

What is the integral from 0 to pi of xcos(x) ?
The integral from 0 to pi of xcos(x) is -2