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Popular Calculus >

integral from-6 to 6 of (36-x^2)

Solution

\int_{- 6}^{6} (36 - x^{2}) d x

Solution

288

Solution steps

\int_{- 6}^{6} 36 - 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_{- 6}^{6} 36 d x - \int_{- 6}^{6} x^{2} d x

\int_{- 6}^{6} 36 d x = 432

\int_{- 6}^{6} x^{2} d x = 144

= 432 - 144

Simplify

= 288

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-6 to 6 of (36-x^2) ?
The integral from-6 to 6 of (36-x^2) is 288