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Popular Calculus >

integral from-4 to 2 of (-x+2)

Solution

\int_{- 4}^{2} (- x + 2) d x

Solution

18

Solution steps

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

\int_{- 4}^{2} x d x = - 6

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

= - (- 6) + 12

Simplify

= 18

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-4 to 2 of (-x+2) ?
The integral from-4 to 2 of (-x+2) is 18