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

The integral from 4 to 2 of-2 is 4

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integral from 4 to 2 of-2

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

4

Solution steps

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

Integral of a constant:

\int a d x = a x

= - [(- 2) x]_{2}^{4}

Simplify

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

Compute the boundaries:

- 4

= - (- 4)

Simplify

= 4

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