What is the integral from 0 to x of y ?

The integral from 0 to x of y is (x^2)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to x of y

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

\frac{x ^{2}}{2}

Solution steps

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

Apply the Power Rule

: [\frac{y ^{2}}{2}]_{0}^{x}

= [\frac{y ^{2}}{2}]_{0}^{x}

Compute the boundaries:

\frac{x ^{2}}{2}

= \frac{x ^{2}}{2}

\int_{y}^{1} y ln (x) d x

\int_{0}^{2} \frac{1}{x ^{2} + 1} d x

\int_{0}^{1} (3 + x^{2})^{2} x d x

\int_{- 1}^{2} (4 x - 6 x^{2}) d x

\int_{0}^{π} sin (θ) cos (θ) d θ

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