en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 9-x^2

Solution

\int 9 - x^{2} d x

Solution

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

Solution steps

\int 9 - 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 9 d x - \int x^{2} d x

\int 9 d x = 9 x

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

= 9 x - \frac{x ^{3}}{3}

Add a constant to the solution

= 9 x - \frac{x ^{3}}{3} + C

Popular Examples

taylor-1/x 2 taylor

- \frac{1}{x} 2

derivative of y= x/(sqrt(x^2+1))derivative of

y = \frac{x}{x ^{2} + 1}

simplify 3x^2-1/x simplify

3 x^{2} - \frac{1}{x}

tangent of f(x)=x^2+2x,\at x=34 tangent of

f (x) = x^{2} + 2 x, at x = 34

limit as x approaches infinity of 2^x

x \to \infty lim (2^{x})

Frequently Asked Questions (FAQ)

What is the integral of 9-x^2 ?
The integral of 9-x^2 is 9x-(x^3)/3+C