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Popular Calculus >

integral from-2 to 1 of (x^2-2)

Solution

\int_{- 2}^{1} (x^{2} - 2) d x

Solution

- 3

Solution steps

\int_{- 2}^{1} 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_{- 2}^{1} x^{2} d x - \int_{- 2}^{1} 2 d x

\int_{- 2}^{1} x^{2} d x = 3

\int_{- 2}^{1} 2 d x = 6

= 3 - 6

Simplify

= - 3

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of (x^2-2) ?
The integral from-2 to 1 of (x^2-2) is -3