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 1 of 6-x^2

Solution

\int_{- 2}^{1} 6 - x^{2} d x

Solution

15

Solution steps

\int_{- 2}^{1} 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}^{1} 6 d x - \int_{- 2}^{1} x^{2} d x

\int_{- 2}^{1} 6 d x = 18

\int_{- 2}^{1} x^{2} d x = 3

= 18 - 3

Simplify

= 15

Popular Examples

integral from 0 to 5 of 1/(x^{0.5)}

\int_{0}^{5} \frac{1}{x ^{0.5}} d x

integral from-3 to 1 of 3t^3+2t^2

\int_{- 3}^{1} 3 t^{3} + 2 t^{2} d t

integral from 0 to pi/(15) of xtan^2(5x)

\int_{0}^{\frac{π}{15}} x tan^{2} (5 x) d x

integral from pi/2 to pi/2 of sec(x)

\int_{\frac{π}{2}}^{\frac{π}{2}} sec (x) d x

integral from 1 to 5 of e^{-t}

\int_{1}^{5} e^{- t} d t

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of 6-x^2 ?
The integral from-2 to 1 of 6-x^2 is 15