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 (-x^2+7)

Solution

\int_{- 2}^{1} (- x^{2} + 7) d x

Solution

18

Solution steps

\int_{- 2}^{1} - x^{2} + 7 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} x^{2} d x + \int_{- 2}^{1} 7 d x

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

\int_{- 2}^{1} 7 d x = 21

= - 3 + 21

Simplify

= 18

Popular Examples

integral from 0 to 2 of 2x^2+2

\int_{0}^{2} 2 x^{2} + 2 d x

integral from-3 to x^2 of (x-5)(x^2+1)

\int_{- 3}^{x^{2}} (x - 5) (x^{2} + 1) d x

integral from 3 to 5 of 1/(x^2-6x+9)

\int_{3}^{5} \frac{1}{x ^{2} - 6 x + 9} d x

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

\int_{2}^{4} (\frac{1}{x ^{2}}) d x

integral from 0 to 2pi of (xsin(x))

\int_{0}^{2 π} (x sin (x)) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of (-x^2+7) ?
The integral from-2 to 1 of (-x^2+7) is 18