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If g(x)=(f(x)-f(-x))/2 defined over [-3,...

If `g(x)=(f(x)-f(-x))/2` defined over `[-3,3]`
`f(x)=2x^(2)-4x+1`, then `int_(-3)^(3)g(x)dx` is equal to

A

0

B

4

C

-4

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
Given `f(x)=2x^(2)-4x+1`
`:.g(x)=(2x^(2)-4x+1-2x^(2)-4x-1)/2`
`=-4x`
`:.int_(-3)^(3)g(x)dx=-4int_(-3)^(3)x dx`
`=-4[(x^(2))/2]_(-3)^(3)`
`=-2(9-9)=0`
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