Question

The area bounded by the curves y = log_ex and y = (log_ex)² is

(A) 3 - e

(B) e - 3

(C) 1/2(3- e)

(D) 1/2(e - 3)

Answer 1

Answer is (A) 3 - e

For points of intersection,

logx = (logx)² ⇒ logx(logx - 1) = 0

⇒ x = 1, x = e