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Popular >

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

Solution

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

Solution

36

Solution steps

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

\int_{- 3}^{3} 9 d x = 54

\int_{- 3}^{3} x^{2} d x = 18

= 54 - 18

Simplify

= 36

Popular Examples

y^3=(dy)/(dx)+y

y^{3} = \frac{d y}{d x} + y

integral from-8 to 8 of (sqrt(64-x^2))

\int_{- 8}^{8} (64 - x^{2}) d x

derivative of (-2x^2+1/(sqrt(1-x^2)))

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

integral of 1/(1+2cos(x))

\int \frac{1}{1 + 2 cos ( x )} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of 9-x^2 ?
The integral from-3 to 3 of 9-x^2 is 36