en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of-x^2-2

Solution

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

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 arctan(sqrt(x-1))

integral of x^2(8x^3-9)^6

integral of (x^{3+1/7})/7

integral of-10sin(10x)

integral of-x5^{-2x}

Frequently Asked Questions (FAQ)

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