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Popular Calculus >

integral from 1 to 5 of x-1

Solution

\int_{1}^{5} x - 1 d x

Solution

8

Solution steps

\int_{1}^{5} 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_{1}^{5} x d x - \int_{1}^{5} 1 d x

\int_{1}^{5} x d x = 12

\int_{1}^{5} 1 d x = 4

= 12 - 4

Simplify

= 8

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of x-1 ?
The integral from 1 to 5 of x-1 is 8