The value of ∫cos(π(x- [x/2]))dx, x ∈ (0, 5) is where [.] denotes G.I.F. (1) 1 (2) 2 (3) 0 (4) 3

Question

The value of \(\int\limits_0^5cos(\pi([x-\frac x2]))dx\) is where [.] denotes G.I.F.

∫cos(π(x- [x/2]))dx, x ∈ (0, 5)

(1) 1 

(2) 2 

(3) 0 

(4) 3

Answer 1

Correct option is (3) 0