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Popular >

integral from 0 to 2 of (-x+2)

Solution

\int_{0}^{2} (- x + 2) d x

Solution

2

Solution steps

\int_{0}^{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_{0}^{2} x d x + \int_{0}^{2} 2 d x

\int_{0}^{2} x d x = 2

\int_{0}^{2} 2 d x = 4

= - 2 + 4

Simplify

= 2

Graph

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Frequently Asked Questions (FAQ)

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