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Popular Calculus >

integral from-3 to 3 of 27-3x^2

Solution

\int_{- 3}^{3} 27 - 3 x^{2} d x

Solution

108

Solution steps

\int_{- 3}^{3} 27 - 3 x^{2} 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} 27 d x - \int_{- 3}^{3} 3 x^{2} d x

\int_{- 3}^{3} 27 d x = 162

\int_{- 3}^{3} 3 x^{2} d x = 54

= 162 - 54

Simplify

= 108

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of 27-3x^2 ?
The integral from-3 to 3 of 27-3x^2 is 108