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Popular Calculus >

integral from-2 to-1 of-x-1

Solution

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

Solution

\frac{1}{2}

+1

Decimal

0.5

Solution steps

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

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

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

= - (- \frac{3}{2}) - 1

Simplify

- (- \frac{3}{2}) - 1 : \frac{1}{2}

= \frac{1}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to-1 of-x-1 ?
The integral from-2 to-1 of-x-1 is 1/2