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The value of the integral int0^(2a)[(f(...

The value of the integral `int_0^(2a)[(f(x))/({f(x)+f(2a-x)})]dxi se q u a ltoa`

Text Solution

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Let `I= int _(0)^(2a) (f(x))/(f(x)+f(2a-x))dx` . . . (i)
`I= int _(0)^(2a) (f(2ax))/(f(2a-x)+f(x))dx` . . . (ii)
On adding Eqs . (i) and (ii) , we get
`2 I = int _(0)^(2a) 1 dx = 2a rarr I = a`
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