What is the integral from x-4 to x+4 of y ?

The integral from x-4 to x+4 of y is 8x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from x-4 to x+4 of y

\int_{x - 4}^{x + 4} y d y

8 x

Solution steps

\int_{x - 4}^{x + 4} y d y

Apply the Power Rule

: [\frac{y ^{2}}{2}]_{x - 4}^{x + 4}

= [\frac{y ^{2}}{2}]_{x - 4}^{x + 4}

Compute the boundaries:

\frac{( x + 4 ) ^{2}}{2} - \frac{( x - 4 ) ^{2}}{2}

= \frac{( x + 4 ) ^{2}}{2} - \frac{( x - 4 ) ^{2}}{2}

Simplify

= 8 x

\int_{1}^{3} (5 x^{4} + 3) d x

\int_{0}^{1} r 4 - r^{2} d r

\int_{8}^{10} x^{2} d x

\int_{1}^{e} I n x d x

\int_{0}^{2} 12 - 3 x^{2} d x

What is the integral from x-4 to x+4 of y ?
The integral from x-4 to x+4 of y is 8x