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Popular >

integral from-2 to 1 of-2x^2-2x+4

Solution

\int_{- 2}^{1} - 2 x^{2} - 2 x + 4 d x

Solution

9

Solution steps

\int_{- 2}^{1} - 2 x^{2} - 2 x + 4 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} 2 x d x + \int_{- 2}^{1} 4 d x

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

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

\int_{- 2}^{1} 4 d x = 12

= - 6 - (- 3) + 12

Simplify

= 9

Graph

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\int_{- 2}^{\infty} e^{- 0.5 x} d x

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of-2x^2-2x+4 ?
The integral from-2 to 1 of-2x^2-2x+4 is 9