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Popular Calculus >

integral from 0 to 4 of (2x-6)

Solution

\int_{0}^{4} (2 x - 6) d x

Solution

- 8

Solution steps

\int_{0}^{4} 2 x - 6 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} 2 x d x - \int_{0}^{4} 6 d x

\int_{0}^{4} 2 x d x = 16

\int_{0}^{4} 6 d x = 24

= 16 - 24

Simplify

= - 8

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of (2x-6) ?
The integral from 0 to 4 of (2x-6) is -8