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+4x

Solution

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

Solution

\frac{32}{3}

+1

Decimal

10.66666 \dots

Solution steps

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

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

\int_{0}^{2} 4 x d x = 8

= \frac{8}{3} + 8

Simplify

\frac{8}{3} + 8 : \frac{32}{3}

= \frac{32}{3}

Graph

Popular Examples

integral from 0 to 2 of sqrt(1+(2y+1)^2)

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

integral from-1 to 3 of 5

\int_{- 1}^{3} 5 d x

integral from 0 to \sqrt[3]{12 of}x^2

\int_{0}^{312} x^{2} d x

integral from 1 to 7 of-tsin(t)

\int_{1}^{7} - t sin (t) d t

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

\int_{0}^{2 π} sin (x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of x^2+4x ?
The integral from 0 to 2 of x^2+4x is 32/3