en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^2-4

Solution

\int x^{2} - 4 d x

Solution

\frac{x ^{3}}{3} - 4 x + C

Solution steps

\int x^{2} - 4 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 4 d x

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

\int 4 d x = 4 x

= \frac{x ^{3}}{3} - 4 x

Add a constant to the solution

= \frac{x ^{3}}{3} - 4 x + C

Popular Examples

derivative of (x-3*ln(x/3))

\frac{d}{d x} ((x - 3) \cdot ln (\frac{x}{3}))

derivative of (2-x/(x^2))

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

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

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

limit as x approaches 1-of 2^{1/(x-1)}

x \to 1 - lim (2^{\frac{1}{x - 1}})

derivative of ln^6(x)

\frac{d}{d x} (ln^{6} (x))

Frequently Asked Questions (FAQ)

What is the integral of x^2-4 ?
The integral of x^2-4 is (x^3)/3-4x+C