en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-2 to 3 of 9-x^2

Solution

\int_{- 2}^{3} 9 - x^{2} d x

Solution

\frac{100}{3}

+1

Decimal Notation

33.33333 \dots

Solution steps

\int_{- 2}^{3} 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_{- 2}^{3} 9 d x - \int_{- 2}^{3} x^{2} d x

\int_{- 2}^{3} 9 d x = 45

\int_{- 2}^{3} x^{2} d x = \frac{35}{3}

= 45 - \frac{35}{3}

Simplify

45 - \frac{35}{3} : \frac{100}{3}

= \frac{100}{3}

Popular Examples

integral from e^1 to e^2 of 1/(xln(x))

\int_{e^{1}}^{e^{2}} \frac{1}{x ln ( x )} d x

integral from 0 to 3 of-sqrt(9-x^2)

\int_{0}^{3} - 9 - x^{2} d x

integral from-1 to 2 of 5^{3x}

\int_{- 1}^{2} 5^{3 x} d x

integral from 0 to 2 of (ln(1+x))/(1+x)

\int_{0}^{2} \frac{ln ( 1 + x )}{1 + x} d x

integral from 0 to 3 of re^{-r^2}

\int_{0}^{3} r e^{- r^{2}} d r

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of 9-x^2 ?
The integral from-2 to 3 of 9-x^2 is 100/3