What is the integral from-2 to 4 of 2x ?

The integral from-2 to 4 of 2x is 12

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integral from-2 to 4 of 2x

\int_{- 2}^{4} 2 x d x

12

Solution steps

\int_{- 2}^{4} 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}^{4} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{- 2}^{4}

= 2 [\frac{x ^{2}}{2}]_{- 2}^{4}

Compute the boundaries:

6

= 2 \cdot 6

Simplify

= 12

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