The value of `int_0^(pi/3) [sqrt3 tanx]dx`( where `[.]` denotes the greatest integer function.) is:

The value of int_(0)^((pi)/(3))[sqrt(3)tan x]dx( where [.] 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

Evaluate: int_(0)^((5 pi)/(12))[tan x]dx, where [.] denotes the greatest integer function.

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

Evaluate: int_(0)^(2 pi)[sin x]dx, where [.] denotes the greatest integer function.

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

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

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