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int(2-a)^(2+a)f(x)dx is equal to [where ...

`int_(2-a)^(2+a)f(x)dx` is equal to [where `f(2-alpha)=f(2+alpha) AAalpha in R`
(a) 2`int_2^(2+a)f(x)dx` (b) `2int_0^af(x)dx` (c) `2int_2^2f(x)dx` (d) none of these

A

`2int_(2)^(2+a)f(x)dx`

B

`2int_(0)^(a)f(x)dx`

C

`2int_(2)^(2)f(x)dx`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`f(2-alpha)=f(2+alpha)`
Thus, function is symmetric about the line `x=2`
`int_(2-a)^(2+a)f(x)dx=2int_(2)^(2+a)f(x)dx`
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