en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (16-x^2)

Solution

\int (16 - x^{2}) d x

Solution

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

Solution steps

\int 16 - 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 16 d x - \int x^{2} d x

\int 16 d x = 16 x

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

= 16 x - \frac{x ^{3}}{3}

Add a constant to the solution

= 16 x - \frac{x ^{3}}{3} + C

Popular Examples

limit as x approaches 3-of 2/(e^{3-x)}

x \to 3 - lim (\frac{2}{e ^{3 - x}})

integral of 1/(sqrt(a^2-x^2))

\int \frac{1}{a ^{2} - x ^{2}} d x

tangent of y=g(x),\at x=2 tangent of

y = g (x), at x = 2

derivative of g(x)=(4-2x)e^n-4 derivative of

g (x) = (4 - 2 x) e^{n} - 4

integral of 1/(5+4sin(x))

\int \frac{1}{5 + 4 sin ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of (16-x^2) ?
The integral of (16-x^2) is 16x-(x^3)/3+C