What is the integral from-3 to 2 of (-2x) ?

The integral from-3 to 2 of (-2x) is 5

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integral from-3 to 2 of (-2x)

\int_{- 3}^{2} (- 2 x) d x

5

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

= - 2 [\frac{x ^{2}}{2}]_{- 3}^{2}

Compute the boundaries:

- \frac{5}{2}

= - 2 (- \frac{5}{2})

Simplify

= 5

What is the integral from-3 to 2 of (-2x) ?
The integral from-3 to 2 of (-2x) is 5