The value of ∫ 1/x sin(x - 1/x) dx, x ∈ [1/2, 2] is

Question

The value of \(\int \limits_{1/2}^2 \frac 1x \sin (x - \frac 1x) dx\) is 

(a) 0

(b) 1

(c) 2

(d) none of these

Answer 1

Correct option is (a) 0