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

The integral from 2 to-2 of x is 0

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integral from 2 to-2 of x

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

0

Solution steps

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

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

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

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

x :

Odd

= - 0

Simplify

= 0

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