Question

If f(x) = e^x/(1 + e^x), I₁ = ∫ x g[x(1 - x)] for (x f(-a), f(a)) dx and  I₂ = ∫ g[x(1 - x)] for (x f(-a), f(a)) dx, then the value of I₂/I₁ is

(a) 2 

(b) -3 

(c) -1

(d) 1

Answer 1

Correct option (a) 2

Explanation:

On adding Eqs (i) and (ii), we get

On adding Eqs (iii) and (iv), we get