What is the integral from 0 to pi of x^2 ?

The integral from 0 to pi of x^2 is (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 x^2

\int_{0}^{π} x^{2} d x

\frac{π ^{3}}{3}

Decimal

10.33542 \dots

Solution steps

\int_{0}^{π} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0}^{π}

= [\frac{x ^{3}}{3}]_{0}^{π}

Compute the boundaries:

\frac{π ^{3}}{3}

= \frac{π ^{3}}{3}

\int_{0}^{π} cos^{2} (θ) sin (θ) d θ

\int_{0}^{π} sin (x) sin (x) d x

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

\int_{0}^{2} 4 a x e^{a x^{2}} d x

\int_{0}^{1} k (1 - y) y^{n} d y

What is the integral from 0 to pi of x^2 ?
The integral from 0 to pi of x^2 is (pi^3)/3