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Popular Calculus >

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_{0}^{π} 0 d x

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\int_{0}^{\frac{π}{4}} 4 sec^{2} (x) 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