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Popular Calculus >

integral from-3 to-1 of x-4

Solution

\int_{- 3}^{- 1} x - 4 d x

Solution

- 12

Solution steps

\int_{- 3}^{- 1} x - 4 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_{- 3}^{- 1} x d x - \int_{- 3}^{- 1} 4 d x

\int_{- 3}^{- 1} x d x = - 4

\int_{- 3}^{- 1} 4 d x = 8

= - 4 - 8

Simplify

= - 12

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-3 to-1 of x-4 ?
The integral from-3 to-1 of x-4 is -12