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Popular Calculus >

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

Solution

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

Solution

16

Solution steps

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

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

\int_{- 2}^{2} 2 x d x = 0

= 16 + 0

Simplify

= 16

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (3x^2+2x) ?
The integral from-2 to 2 of (3x^2+2x) is 16