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+x

Solution

\int x^{2} + x d x

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

tangent of f(x)=2x^2+9,\at x=1 tangent of

f (x) = 2 x^{2} + 9, at x = 1

\frac{d}{d y} (cos (y))

(- \frac{1}{x ^{2}})^{^{'}}

derivative of xln(x^2-2x)

\frac{d}{d x} (x ln (x^{2}) - 2 x)

integral of e^{2x} 1/2

\int e^{2 x} \frac{1}{2} d x

Frequently Asked Questions (FAQ)

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