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Popular Calculus >

integral from 2 to 6 of (x-3)

Solution

\int_{2}^{6} (x - 3) d x

Solution

4

Solution steps

\int_{2}^{6} x - 3 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} x d x - \int_{2}^{6} 3 d x

\int_{2}^{6} x d x = 16

\int_{2}^{6} 3 d x = 12

= 16 - 12

Simplify

= 4

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of (x-3) ?
The integral from 2 to 6 of (x-3) is 4