en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (4-x^2)

Solution

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

Solution

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

Solution steps

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

\int 4 d x = 4 x

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

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

Add a constant to the solution

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

Popular Examples

integral from 0 to infinity of e^{-t}

\int_{0}^{\infty} e^{- t} d t

derivative of 5x^2+3x-1

\frac{d}{d x} (5 x^{2} + 3 x - 1)

derivative of 1/(2y)derivative of

\frac{1}{2 y}

simplify (16)/((5-x)^2)-1 simplify

\frac{16}{( 5 - x ) ^{2}} - 1

(\partial)/(\partial x)(arcsin(3x-2))

\frac{\partial}{\partial x} (arcsin (3 x - 2))

Frequently Asked Questions (FAQ)

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