What is the integral from 0 to y of y^2 ?

The integral from 0 to y of y^2 is (y^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 y of y^2

\int_{0}^{y} y^{2} d y

\frac{y ^{3}}{3}

Solution steps

\int_{0}^{y} y^{2} d y

Apply the Power Rule

: [\frac{y ^{3}}{3}]_{0}^{y}

= [\frac{y ^{3}}{3}]_{0}^{y}

Compute the boundaries:

\frac{y ^{3}}{3}

= \frac{y ^{3}}{3}

\int_{0}^{3} cos (x) d x

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

\int_{e}^{4} \frac{ln ( ln ( x ) )}{x} d x

\int_{1}^{4} x^{- 1} d x

\int_{1}^{3} \frac{4 ( ln ( x ) ) ^{3}}{x} d x

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