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Popular >

integral from-3 to 6 of 6-x^2

Solution

\int_{- 3}^{6} 6 - x^{2} d x

Solution

- 27

Solution steps

\int_{- 3}^{6} 6 - 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}^{6} 6 d x - \int_{- 3}^{6} x^{2} d x

\int_{- 3}^{6} 6 d x = 54

\int_{- 3}^{6} x^{2} d x = 81

= 54 - 81

Simplify

= - 27

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-3 to 6 of 6-x^2 ?
The integral from-3 to 6 of 6-x^2 is -27