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Popular Calculus >

integral from-4 to 2 of x^2+2

Solution

\int_{- 4}^{2} x^{2} + 2 d x

Solution

36

Solution steps

\int_{- 4}^{2} x^{2} + 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_{- 4}^{2} x^{2} d x + \int_{- 4}^{2} 2 d x

\int_{- 4}^{2} x^{2} d x = 24

\int_{- 4}^{2} 2 d x = 12

= 24 + 12

Simplify

= 36

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-4 to 2 of x^2+2 ?
The integral from-4 to 2 of x^2+2 is 36