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Popular Calculus >

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

Solution

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

Solution

- 12

Solution steps

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

\int_{- 3}^{3} 4 x d x = 0

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

= 0 - 12

Simplify

= - 12

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of (4x-2) ?
The integral from-3 to 3 of (4x-2) is -12