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Popular Calculus >

integral from-4 to 2 of-x^2-3x

Solution

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

Solution

- 6

Solution steps

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

\int_{- 4}^{2} x^{2} d x = 24

\int_{- 4}^{2} 3 x d x = - 18

= - 24 - (- 18)

Simplify

= - 6

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-4 to 2 of-x^2-3x ?
The integral from-4 to 2 of-x^2-3x is -6