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+2x)

Solution

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

Solution

\frac{2}{3}

+1

Decimal

0.66666 \dots

Solution steps

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

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

\int_{- 1}^{1} 2 x d x = 0

= \frac{2}{3} + 0

Simplify

= \frac{2}{3}

Graph

Popular Examples

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

\int_{0}^{π} sin (2 x) sin (x) d x

integral from 0 to 1 of t13^{t^2}

\int_{0}^{1} t 1 3^{t^{2}} d t

integral from 1 to x of 5/(t^3+1)

\int_{1}^{x} \frac{5}{t ^{3} + 1} d t

integral from 1 to 2 of xsqrt(1/2 x^2+9)

\int_{1}^{2} x \frac{1}{2} x^{2} + 9 d x

integral from 0 to 2 of x^2(1+2x)^3

\int_{0}^{2} x^{2} (1 + 2 x)^{3} d x

Frequently Asked Questions (FAQ)

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