en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

\frac{20}{3}

+1

Decimal Notation

6.66666 \dots

Solution steps

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

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} 2 x d x = 4

= \frac{8}{3} + 4

Simplify

\frac{8}{3} + 4 : \frac{20}{3}

= \frac{20}{3}

Popular Examples

integral from 1 to 4 of 4x

\int_{1}^{4} 4 x d x

integral from pi/3 to pi/2 of e^{sec(2x)}sec(2x)tan(2x)

\int_{\frac{π}{3}}^{\frac{π}{2}} e^{s e c (2 x)} sec (2 x) tan (2 x) d x

integral from 1 to 6 of xsqrt(x+3)

\int_{1}^{6} x x + 3 d x

integral from 0 to 1 of ycos(x)

\int_{0}^{1} y cos (x) d y

integral from 0 to 1 of x^{6/7}

\int_{0}^{1} x^{\frac{6}{7}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (x^2+2x) ?
The integral from 0 to 2 of (x^2+2x) is 20/3