Question

The value of ∫(ln(x/e)/(lnx)²)dx is

(A) (x + 1)/(lnx)² + c

(B) (x - 1)/(lnx)² + c

(C) x/lnx + c

(D) lnx/x + c

Answer 1

Answer is (C) x/lnx + c

Put ln x = t. Then

x = e^t ⇒ dx = e^tdt