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Popular Calculus >

integral from 2 to 6 of 6x-18

Solution

\int_{2}^{6} 6 x - 18 d x

Solution

24

Solution steps

\int_{2}^{6} 6 x - 18 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}^{6} 6 x d x - \int_{2}^{6} 18 d x

\int_{2}^{6} 6 x d x = 96

\int_{2}^{6} 18 d x = 72

= 96 - 72

Simplify

= 24

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of 6x-18 ?
The integral from 2 to 6 of 6x-18 is 24