en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from 3 to-3 of 9-x^2

Solution

\int_{3}^{- 3} 9 - x^{2} d x

Solution

- 36

Solution steps

\int_{3}^{- 3} 9 - x^{2} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{- 3}^{3} 9 - 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_{- 3}^{3} 9 d x - \int_{- 3}^{3} x^{2} d x)

\int_{- 3}^{3} 9 d x = 54

\int_{- 3}^{3} x^{2} d x = 18

= - (54 - 18)

Simplify

= - 36

Graph

Popular Examples

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

integral from 0 to 4 of ysqrt(9+y^2)

integral from 0 to 1 of (x^{4/3}-2x^{1/3})

integral from 1 to 6 of |4x-12|

integral from-3 to 3 of sin(x^2)

Frequently Asked Questions (FAQ)

What is the integral from 3 to-3 of 9-x^2 ?
The integral from 3 to-3 of 9-x^2 is -36