What is the integral from 0 to 2pi of x^3 ?

The integral from 0 to 2pi of x^3 is 4pi^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 2pi of x^3

\int_{0}^{2 π} x^{3} d x

4 π^{4}

Decimal Notation

389.63636 \dots

Solution steps

\int_{0}^{2 π} x^{3} d x

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{0}^{2 π}

= [\frac{x ^{4}}{4}]_{0}^{2 π}

Compute the boundaries:

4 π^{4}

= 4 π^{4}

\int_{0}^{2} \frac{π}{2} r d r

\int_{0}^{1} x x - x^{3} d x

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

\int_{0}^{0.5} 4 x d x

\int_{0}^{π} (\frac{sin ( x )}{x}) d x

What is the integral from 0 to 2pi of x^3 ?
The integral from 0 to 2pi of x^3 is 4pi^4