en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-2 to 2 of 6-x^2

Solution

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

Solution

\frac{56}{3}

+1

Solution steps

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

\int_{- 2}^{2} 6 d x = 24

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

= 24 - \frac{16}{3}

Simplify

24 - \frac{16}{3} : \frac{56}{3}

= \frac{56}{3}

Popular Examples

integral from 0 to 5 of (3x+1)

\int_{0}^{5} (3 x + 1) d x

integral from 0 to 6-x of 6-x-z

\int_{0}^{6 - x} 6 - x - z d z

integral from 0 to 2 of (2x-1)^3

\int_{0}^{2} (2 x - 1)^{3} d x

integral from 2 to 3 of (3-x)/2

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

integral from 1 to 5 of 4/x-4/(x^2)

\int_{1}^{5} \frac{4}{x} - \frac{4}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of 6-x^2 ?
The integral from-2 to 2 of 6-x^2 is 56/3