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If for non zero x, a.f(x) +b.f(1/x)=1/x -5 where a≠b then find ∫ f(x)dx
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5 Answers
Lokesh Verma
·2009-01-08 06:55:24
a.f(x) +b.f(1/x)=1/x -5
substitute x=1/x
a f(1/x) + bf(x) = x- 5
multiply 1 by a and 2 by b and substract!
(a2-b2)f(x) = a/x - bx -5a +5b
f(x) = (a/x - bx -5a +5b ) / (a2-b2)