The value of `int_(0)^(pi//2)x|sin^(2)x-(1)/(2)|dx` is equal to `(api)/(b)` where a,b are co-prime numbers, then a.b is ____________

The value of int_(0)^(2 pi)|cos x-sin x|dx is

The value of int_(0)^(2pi) |cos x -sin x|dx is

The value of int_(0)^(2pi)[sin2x(1+cos3x)] dx, where [t] denotes

The value of int _(0)^(pi//2) ((sin x + cos x)^(2))/(sqrt(1+sin 2x) dx is

int_(0)^( pi)(x sin2x sin((pi)/(2)cos x))/(2x-pi)dx is equal to

If the value of int_(0)^( pi)(8sin^(2016)x+5cos^(2016)x)/(sin^(2016)x+cos^(2016)x)dx is (a pi)/(b) ( a and b are coprime), then (a-b) is

int_(-pi//2)^(pi//2)"sin"|x|dx is equal to 1 (b) 2 (c) -1 (d) -2