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Popular Calculus >

integral from-1 to 2 of (8-x^2)

Solution

\int_{- 1}^{2} (8 - x^{2}) d x

Solution

21

Solution steps

\int_{- 1}^{2} 8 - 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_{- 1}^{2} 8 d x - \int_{- 1}^{2} x^{2} d x

\int_{- 1}^{2} 8 d x = 24

\int_{- 1}^{2} x^{2} d x = 3

= 24 - 3

Simplify

= 21

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of (8-x^2) ?
The integral from-1 to 2 of (8-x^2) is 21