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Popular Calculus >

integral from 0 to 4 of (x-4)

Solution

\int_{0}^{4} (x - 4) d x

Solution

- 8

Solution steps

\int_{0}^{4} x - 4 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}^{4} x d x - \int_{0}^{4} 4 d x

\int_{0}^{4} x d x = 8

\int_{0}^{4} 4 d x = 16

= 8 - 16

Simplify

= - 8

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of (x-4) ?
The integral from 0 to 4 of (x-4) is -8