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

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

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integral from-2 to 3 of-2x

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

- 5

Solution steps

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

Apply the Power Rule

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

Compute the boundaries:

\frac{5}{2}

= - 2 \cdot \frac{5}{2}

Simplify

= - 5