What is the integral from-2 to 0 of-x ?

The integral from-2 to 0 of-x is 2

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integral from-2 to 0 of-x

\int_{- 2}^{0} - x d x

2

Solution steps

\int_{- 2}^{0} - x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \int_{- 2}^{0} x d x

Apply the Power Rule

= - [\frac{x ^{2}}{2}]_{- 2}^{0}

Compute the boundaries:

- 2

= - (- 2)

Simplify

= 2