en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

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

Solution

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

Solution

\frac{20}{3}

+1

Decimal

6.66666 \dots

Solution steps

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

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

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

= 4 + \frac{8}{3}

Simplify

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

= \frac{20}{3}

Graph

Popular Examples

integral from-5 to 5 of-sqrt(25-x^2)

\int_{- 5}^{5} - 25 - x^{2} d x

integral from 0 to 1 of 7x(x^2-1)^5

\int_{0}^{1} 7 x (x^{2} - 1)^{5} d x

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

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

integral from 1 to 2 of 3x^2+4x

\int_{1}^{2} 3 x^{2} + 4 x d x

integral from-1 to 1 of e^{3x^2}

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

Frequently Asked Questions (FAQ)

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