en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-6 to 6 of (36-x^2)

Solution

\int_{- 6}^{6} (36 - x^{2}) d x

Solution

288

Solution steps

\int_{- 6}^{6} 36 - x^{2} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 6}^{6} 36 d x - \int_{- 6}^{6} x^{2} d x

\int_{- 6}^{6} 36 d x = 432

\int_{- 6}^{6} x^{2} d x = 144

= 432 - 144

Simplify

= 288

Graph

Popular Examples

derivative of (sqrt(x-1)/(2x-3))

\frac{d}{d x} (\frac{x - 1}{2 x - 3})

integral of ((5x^2))/((x-1)(x^2+9))

\int \frac{( 5 x ^{2} )}{( x - 1 ) ( x ^{2} + 9 )} d x

derivative of f(x)=6sqrt(5x^2+7)derivative of

f (x) = 6 5 x^{2} + 7

simplify (4x)^{-2x}simplify

(4 x)^{- 2 x}

(\partial)/(\partial x)(3ysin(-3x))

\frac{\partial}{\partial x} (3 y sin (- 3 x))

Frequently Asked Questions (FAQ)

What is the integral from-6 to 6 of (36-x^2) ?
The integral from-6 to 6 of (36-x^2) is 288