What is the integral from x-3 to x+3 of y ?

The integral from x-3 to x+3 of y is 6x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from x-3 to x+3 of y

\int_{x - 3}^{x + 3} y d y

6 x

Solution steps

\int_{x - 3}^{x + 3} y d y

Apply the Power Rule

: [\frac{y ^{2}}{2}]_{x - 3}^{x + 3}

= [\frac{y ^{2}}{2}]_{x - 3}^{x + 3}

Compute the boundaries:

\frac{( x + 3 ) ^{2}}{2} - \frac{( x - 3 ) ^{2}}{2}

= \frac{( x + 3 ) ^{2}}{2} - \frac{( x - 3 ) ^{2}}{2}

Simplify

= 6 x

\int_{0}^{3} 53 - (3 x^{2} + 2 x + 20) d x

\int_{1}^{3} \frac{x}{2} d x

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

\int_{0.25}^{1.25} e^{- 4 x^{2}} d x

\int_{0}^{2} \frac{1}{2} e^{- \frac{x}{2}} d x

What is the integral from x-3 to x+3 of y ?
The integral from x-3 to x+3 of y is 6x