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

The integral from-2 to 2 of 2x is 0

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integral from-2 to 2 of 2x

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

0

Solution steps

\int_{- 2}^{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

2 x :

Odd

= 0

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\int_{- 1}^{2} (5 - x^{2}) d x