If `[x]` denotes the integral part of `x` and `a=int_(-1)^0 (sin^2x)/([x/pi]+1/2)dx, b=int_0^1 (sin^
Channel: Doubtnut
Date: 2020-04-12

If `[x]` denotes the integral part of `x` and `a=int_(-1)^0 (sin^2x)/([x/pi]+1/2)dx, b=int_0^1 (sin^2x)/([x/pi]+1/2)d (x-[x])`, then (A) `a=b` (B) `a=-b` (C) `a=2b` (D) none of these