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

The integral from-2 to-1 of (3w^2-2-1) is 4

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integral from-2 to-1 of (3w^2-2-1)

\int_{- 2}^{- 1} (3 w^{2} - 2 - 1) d w

4

Solution steps

\int_{- 2}^{- 1} 3 w^{2} - 2 - 1 d w

Simplify

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

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} 3 w^{2} d w - \int_{- 2}^{- 1} 3 d w

\int_{- 2}^{- 1} 3 w^{2} d w = 7

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

= 7 - 3

Simplify

= 4

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What is the integral from-2 to-1 of (3w^2-2-1) ?
The integral from-2 to-1 of (3w^2-2-1) is 4