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Popular Calculus >

integral from-2 to 2 of-3x^2+12

Solution

\int_{- 2}^{2} - 3 x^{2} + 12 d x

Solution

32

Solution steps

\int_{- 2}^{2} - 3 x^{2} + 12 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_{- 2}^{2} 3 x^{2} d x + \int_{- 2}^{2} 12 d x

\int_{- 2}^{2} 3 x^{2} d x = 16

\int_{- 2}^{2} 12 d x = 48

= - 16 + 48

Simplify

= 32

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of-3x^2+12 ?
The integral from-2 to 2 of-3x^2+12 is 32