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Popular >

integral from 0 to 9 of (81-x^2)

Solution

\int_{0}^{9} (81 - x^{2}) d x

Solution

486

Solution steps

\int_{0}^{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_{0}^{9} 81 d x - \int_{0}^{9} x^{2} d x

\int_{0}^{9} 81 d x = 729

\int_{0}^{9} x^{2} d x = 243

= 729 - 243

Simplify

= 486

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 9 of (81-x^2) ?
The integral from 0 to 9 of (81-x^2) is 486