What is the integral from x to y of x ?

The integral from x to y of x is (y^2-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 x to y of x

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

\frac{y ^{2} - x ^{2}}{2}

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{y ^{2}}{2} - \frac{x ^{2}}{2}

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

Simplify

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

\int_{- 6}^{2} x d x

\int_{0}^{2} (6 x - 3) (8 x^{2} + 5) d x

\int_{1}^{5} \frac{1}{( x + 2 ) ( x + 3 )} d x

\int_{4}^{6} x^{2} + 2 x - 5 d x

\int_{0}^{1} cos (x) - 0.5 d x

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