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Popular Calculus >

integral from-9 to 9 of 81-x^2

Solution

\int_{- 9}^{9} 81 - x^{2} d x

Solution

972

Solution steps

\int_{- 9}^{9} 81 - 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}^{9} 81 d x - \int_{- 9}^{9} x^{2} d x

\int_{- 9}^{9} 81 d x = 1458

\int_{- 9}^{9} x^{2} d x = 486

= 1458 - 486

Simplify

= 972

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-9 to 9 of 81-x^2 ?
The integral from-9 to 9 of 81-x^2 is 972