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Popular Calculus >

integral from 0 to 4 of (4-y)

Solution

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

Solution

8

Solution steps

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

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

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

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

= 16 - 8

Simplify

= 8

Graph

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Frequently Asked Questions (FAQ)

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