The value of `(1)/(pi)int_(2 pi)^(0)[sqrt(2)sin x]dx` where [.] denotes greatest integer function is

The value of int_(0)^((pi)/(3))[sqrt(3)tan x]dx( where [.] denotes the greatest integer function.) is:

int_0^(sqrt(pi/2))[[x^2]+cosx]dx (where [.] denotes greatest integer function)

The value of int_(-pi//2)^(pi//2)[ cot^(-1)x] dx (where ,[.] denotes 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

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

The value of int_(e)^(pi^(2))[log_(pi)x]d(log_(e)x) (where [.] denotes greatest integer function) is