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Popular Calculus >

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

Graph

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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