en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^2+2

Solution

integral

x^{2} + 2

Solution

\frac{x ^{3}}{3} + 2 x + C

Solution steps

\int x^{2} + 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 x^{2} d x + \int 2 d x

\int x^{2} d x = \frac{x ^{3}}{3}

\int 2 d x = 2 x

= \frac{x ^{3}}{3} + 2 x

Add a constant to the solution

= \frac{x ^{3}}{3} + 2 x + C

Graph

Popular Examples

integral of e^x*sin^2(x)integral

e^{x} \cdot sin^{2} (x)

integral of 1/r integral

\frac{1}{r}

integral of x^2-1 integral

x^{2} - 1

integral of 1/((x^2-4x+3))integral

\frac{1}{( x ^{2} - 4 x + 3 )}

integral of 1/((1-t^2))integral

\frac{1}{( 1 - t ^{2} )}

Frequently Asked Questions (FAQ)

What is the integral of x^2+2 ?
The integral of x^2+2 is (x^3)/3+2x+C