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Popular Calculus >

integral from-2 to 3 of (4x-5)

Solution

\int_{- 2}^{3} (4 x - 5) d x

Solution

- 15

Solution steps

\int_{- 2}^{3} 4 x - 5 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}^{3} 4 x d x - \int_{- 2}^{3} 5 d x

\int_{- 2}^{3} 4 x d x = 10

\int_{- 2}^{3} 5 d x = 25

= 10 - 25

Simplify

= - 15

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (4x-5) ?
The integral from-2 to 3 of (4x-5) is -15