What is the integral from b to a of x ?

The integral from b to a of x is (a^2-b^2)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from b to a of x

\int_{b}^{a} x d x

\frac{a ^{2} - b ^{2}}{2}

Solution steps

\int_{b}^{a} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{b}^{a}

= [\frac{x ^{2}}{2}]_{b}^{a}

Compute the boundaries:

\frac{a ^{2}}{2} - \frac{b ^{2}}{2}

= \frac{a ^{2}}{2} - \frac{b ^{2}}{2}

Simplify

= \frac{a ^{2} - b ^{2}}{2}

\int_{\frac{1}{2}}^{1} y cos^{2} (x y) d x

\int_{- 2}^{2} (4 - y^{2}) d y

\int_{1}^{3} \frac{x}{( x ^{2} + 7 ) ^{3}} d x

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

\int_{0}^{2} \frac{e ^{3 y} - 3}{e ^{3 y} - 9 y + 18} d y

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