If for non-zero- x af (x) + bf(1/x) = 1/...

If for non-zero- x `af (x) + bf(1/x) = 1/x - 5` where `a!=b` , then `int_1^2 f(x) dx` =........... .

A

`1/((a^2 + b^2)) [ a log 2 - 5a + 7/2b]`

B

`1/((a^2 -b^2)) [ a log 2 - 5 a + 7/2 b]`

C

`1/((a^2 - b^2)) [ a log 2 -5a - 7/2 b]`

D

`1/((a^2 + b^2)) [ a log 2 - 5a - 7/2 b]`

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The correct Answer is:

B

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