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Popular Calculus >

integral from 1 to 3 of (3x-9)

Solution

\int_{1}^{3} (3 x - 9) d x

Solution

- 6

Solution steps

\int_{1}^{3} 3 x - 9 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_{1}^{3} 3 x d x - \int_{1}^{3} 9 d x

\int_{1}^{3} 3 x d x = 12

\int_{1}^{3} 9 d x = 18

= 12 - 18

Simplify

= - 6

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (3x-9) ?
The integral from 1 to 3 of (3x-9) is -6