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

The integral from 0 to a of x^3 is (a^4)/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 a of x^3

\int_{0}^{a} x^{3} d x

\frac{a ^{4}}{4}

Solution steps

\int_{0}^{a} x^{3} d x

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{0}^{a}

= [\frac{x ^{4}}{4}]_{0}^{a}

Compute the boundaries:

\frac{a ^{4}}{4}

= \frac{a ^{4}}{4}

\int_{- 4}^{2} x^{2} d x

\int_{1}^{64} 3 y d y

\int_{- \frac{π}{2}}^{\frac{π}{2}} cos^{3} (θ) d θ

\int_{0}^{1} (x^{2} + 10 x) d x

\int_{1}^{8} \frac{6}{x} d x

What is the integral from 0 to a of x^3 ?
The integral from 0 to a of x^3 is (a^4)/4