The value of `I = int_(-1)^(1)[x sin(pix)]dx` is (where [.] denotes the greatest integer function)

The value of int_(0)^(2017)sin(x-[x])dx : (where [ . ] denotes the greatest integer function) is equal to

The value of int_(1)^(10pi)([sec^(-1)x]) dx (where ,[.] denotes the greatest integer function ) is equal to

The value of int_(-1)^(10)sgn(x-[x])dx is equal to (where,[:] denotes the greatest integer function

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

The value of int_(0)^(10pi)[tan^(-1)x]dx (where, [.] denotes the greatest integer functionof x) is equal to

The value of int_(1)^(e^(6)) [(log x)/(3)] dx (where [.] denotes the greatest integer function) is (e^(a)-e^(b)) then the value of (a)/(b) is

The value of int_(0)^(2)[x^(2)-x+1] dx (where , [.] denotes the greatest integer function ) is equal to

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

The value of int_(0)^(infty)[2e^(-x)] dx (where ,[.] denotes the greatest integer function of x) is equal to S