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 (x^3+x)

Solution

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

Solution

6

Solution steps

\int_{0}^{2} x^{3} + 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^{3} d x + \int_{0}^{2} x d x

\int_{0}^{2} x^{3} d x = 4

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

= 4 + 2

Simplify

= 6

Graph

Popular Examples

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

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

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

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

integral from 0 to 1 of e-e^x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (x^3+x) ?
The integral from 0 to 2 of (x^3+x) is 6