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

The integral from 0 to pi of cos(x)(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 cos(x)(x)

\int_{0}^{π} cos (x) (x) d x

- 2

Solution steps

\int_{0}^{π} cos (x) 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

\int_{0}^{10} c (10 x - x^{2}) d x

\int_{- 2}^{3} x^{3} - 7 x + 2 d x

\int_{0}^{8} \frac{1}{16 - x ^{2}} d x

\int_{- 1}^{1} (3 x + 2) d x

\int_{0}^{π} x^{3} sin (3 x) d x

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