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Popular Calculus >

integral from 2 to 8 of (-x+5)

Solution

\int_{2}^{8} (- x + 5) d x

Solution

0

Solution steps

\int_{2}^{8} - x + 5 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}^{8} x d x + \int_{2}^{8} 5 d x

\int_{2}^{8} x d x = 30

\int_{2}^{8} 5 d x = 30

= - 30 + 30

Simplify

= 0

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 8 of (-x+5) ?
The integral from 2 to 8 of (-x+5) is 0