What is the integral from-2 to 2 of ((x+2)-(x)) ?

The integral from-2 to 2 of ((x+2)-(x)) is 8

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integral from-2 to 2 of ((x+2)-(x))

\int_{- 2}^{2} ((x + 2) - (x)) d x

8

Solution steps

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

Simplify

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

Integral of a constant:

\int a d x = a x

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

Compute the boundaries:

8

= 8

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What is the integral from-2 to 2 of ((x+2)-(x)) ?
The integral from-2 to 2 of ((x+2)-(x)) is 8