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

The integral from 0 to pi of xcos(x is cos(d)(pi^3)/3

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 (d) x d x

cos (d) \frac{π ^{3}}{3}

Solution steps

\int_{0}^{π} x cos (d) x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= cos (d) \cdot \int_{0}^{π} xx d x

Simplify

xx : x^{2}

= cos (d) \cdot \int_{0}^{π} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0}^{π}

= cos (d) [\frac{x ^{3}}{3}]_{0}^{π}

Compute the boundaries:

\frac{π ^{3}}{3}

= cos (d) \frac{π ^{3}}{3}

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

\int_{- 2}^{2} x^{2} + 5 d x

\int_{0}^{0.27} ln (1 + x^{2}) d x

\int_{1}^{2} \frac{x ^{4} + 5 x ^{3}}{x ^{2}} d x

\int_{- 2}^{1} \frac{3}{12 x - 13} d x

What is the integral from 0 to pi of xcos(x ?
The integral from 0 to pi of xcos(x is cos(d)(pi^3)/3