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Popular >

integral from-3 to 3 of (x^2-9)

Solution

\int_{- 3}^{3} (x^{2} - 9) d x

Solution

- 36

Solution steps

\int_{- 3}^{3} x^{2} - 9 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} 9 d x

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

\int_{- 3}^{3} 9 d x = 54

= 18 - 54

Simplify

= - 36

Graph

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

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\int_{0}^{1} ((x + 3) - (x^{5} + 3)) d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of (x^2-9) ?
The integral from-3 to 3 of (x^2-9) is -36