What is the integral from-3 to 1 of 2x ?

The integral from-3 to 1 of 2x is -8

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integral from-3 to 1 of 2x

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

- 8

Solution steps

\int_{- 3}^{1} 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}^{1} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{- 3}^{1}

= 2 [\frac{x ^{2}}{2}]_{- 3}^{1}

Compute the boundaries:

- 4

= 2 (- 4)

Simplify

= - 8

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