The area bounded between the curve y = f(x) and y = ex lnx is (A) (2e - 5)/8 (B) (2e^2 - 5e)/4

Question

Let f be function satisfying the condition  f(xy) = f(x)/y + f(y)/x ∀ x, y > 0. If f(x) is differentiable and f(1) = 1, then

The area bounded between the curve y = f(x) and y = ex lnx is

(A) 2e - 5)/8

(B) (2e² - 5e)/4

(C) (e² + 5)e

(D) None of these

Answer 1

Answer is (A) (e - 5)/8

For points of intersection,