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Popular >

integral from-2 to 4 of 2x+8-x^2

Solution

\int_{- 2}^{4} 2 x + 8 - x^{2} d x

Solution

36

Solution steps

\int_{- 2}^{4} 2 x + 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_{- 2}^{4} 2 x d x + \int_{- 2}^{4} 8 d x - \int_{- 2}^{4} x^{2} d x

\int_{- 2}^{4} 2 x d x = 12

\int_{- 2}^{4} 8 d x = 48

\int_{- 2}^{4} x^{2} d x = 24

= 12 + 48 - 24

Simplify

= 36

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 4 of 2x+8-x^2 ?
The integral from-2 to 4 of 2x+8-x^2 is 36