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Popular Calculus >

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

Solution

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

Solution

- 9

Solution steps

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

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

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

= - 6 - 3

Simplify

= - 9

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of (-2x^2-1) ?
The integral from-2 to 1 of (-2x^2-1) is -9