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Popular Calculus >

integral from 2 to 6 of x-1

Solution

\int_{2}^{6} x - 1 d x

Solution

12

Solution steps

\int_{2}^{6} x - 1 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} 1 d x

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

\int_{2}^{6} 1 d x = 4

= 16 - 4

Simplify

= 12

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of x-1 ?
The integral from 2 to 6 of x-1 is 12