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Popular Calculus >

integral from-3 to 3 of-x^2+10

Solution

\int_{- 3}^{3} - x^{2} + 10 d x

Solution

42

Solution steps

\int_{- 3}^{3} - x^{2} + 10 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} 10 d x

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

\int_{- 3}^{3} 10 d x = 60

= - 18 + 60

Simplify

= 42

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of-x^2+10 ?
The integral from-3 to 3 of-x^2+10 is 42