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 (-x^2+5)

Solution

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

Solution

\frac{44}{3}

+1

Decimal

14.66666 \dots

Solution steps

\int_{- 2}^{2} - x^{2} + 5 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} x^{2} d x + \int_{- 2}^{2} 5 d x

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

\int_{- 2}^{2} 5 d x = 20

= - \frac{16}{3} + 20

Simplify

- \frac{16}{3} + 20 : \frac{44}{3}

= \frac{44}{3}

Graph

Popular Examples

integral from 1 to 6 of x/6-6/x

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

integral from 0 to 4 of y^2(sqrt(4-y))

\int_{0}^{4} y^{2} (4 - y) d y

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

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

integral from 0 to pi of ysin(z)

\int_{0}^{π} y sin (z) d x

integral from 0 to 1 of ssqrt(1-s^2)

\int_{0}^{1} s 1 - s^{2} d s

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (-x^2+5) ?
The integral from-2 to 2 of (-x^2+5) is 44/3