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Popular Calculus >

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

Solution

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

Solution

18

Solution steps

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

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

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

= 18 - 0

Simplify

= 18

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of (x^2-x) ?
The integral from-3 to 3 of (x^2-x) is 18