The value of `int_-2^2 (sin^2 x)/([x/pi]+1/2)dx,` where `[*]` denotes greatest integer function, is

The value of int_(-2)^2 (sin^2x)/([x/pi]+1/2) dx where [x] denotes the greatest integer lex is

The vlaue of int_(-2)^(2) (sin^(2)x)/([(x)/(pi)]+(1)/(2))dx where [*] denotes the greatest integer function, is

The value of int_(-g)^(1)[x[1+cos((pi x)/(2))]+1]dx where [.] denotes greatest integer function is

The value of int_1^2(x^([x^2])+[x^2]^x)dx , where [.] denotes the greatest integer function, is equal to

The value of int_(-pi//2)^(pi//2)[ cot^(-1)x] dx (where ,[.] denotes greatest integer function) is equal to

The value of int_(-pi//2)^(pi//2)[ cot^(-1)x] dx (where ,[.] denotes greatest integer function) is equal to

The value of int_(-pi//2)^(pi//2)[ cot^(-1)x] dx (where ,[.] denotes greatest integer function) is equal to

The value of int_(0)^(2pi)[sin 2x(1+cos 3x)]dx , where [t] denotes the greatest integer function, is:

The value of int_(-2)^1 [x[1+cos((pix)/2)]+1] dx, where [.] denotes greatest integer function is

The value of int_(-20pi)^(20 pi) |sin x| [ sin x] dx is (where [.] denotes greatest integer function)