en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 1 of x^2+2

Solution

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

Solution

\frac{14}{3}

+1

Decimal

4.66666 \dots

Solution steps

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

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

\int_{- 1}^{1} 2 d x = 4

= \frac{2}{3} + 4

Simplify

\frac{2}{3} + 4 : \frac{14}{3}

= \frac{14}{3}

Graph

Popular Examples

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

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

integral from 0 to pi/4 of 1/(1-sin(x))

\int_{0}^{\frac{π}{4}} \frac{1}{1 - sin ( x )} d x

integral from 0 to 2pi of 3sin^2(x)

\int_{0}^{2 π} 3 sin^{2} (x) d x

integral from 0 to 1 of (x+5sqrt(1-x^2))

\int_{0}^{1} (x + 5 1 - x^{2}) d x

integral from-pi/2 to pi/2 of cos(x)-2

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of x^2+2 ?
The integral from-1 to 1 of x^2+2 is 14/3