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

\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

Popular Examples

d/(d{x)}(({y})/(sqrt({x)^2+{y)^2+{z}^2}})

\frac{d}{d x} (\frac{y}{x ^{2} + y ^{2} + z ^{2}})

(dy)/(dx)=(2y)/(3x)

\frac{d y}{d x} = \frac{2 y}{3 x}

tangent of f(x)=sqrt(5-3x),\at x=-2 tangent of

f (x) = 5 - 3 x, at x = - 2

limit as x approaches-5 of 4x^3+x

x \to - 5 lim (4 x^{3} + x)

\frac{d y}{d x} + 3 y = 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