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