Evaluate: `int_(-100)^(100)[tan^(-1)x]dx ,w h e r e[x]` represents greatest integer function.

Evaluate: int_(0)^(10 pi)[tan^(-1)x]dx, where [x] represents greatest integer function.

The integral I=int_(0)^(100pi)[tan^(-1)x]dx (where, [.] represents the greatest integer function) has the vlaue K(pi)+ tan(p) then value of K + p is equal to

Evaluate: int_(0)^(oo)[2e^(-x)]dx, where [x] represents greatest integer function.

The value of int_(0)^(100)[tan^(-1)x]dx is,(where [^(*)] denotes greatest integer function)

Evaluate: int_(0)^(100)x-[x]dx where [.] represents the greatest integer function).

Evaluate int_(1)^(a)x.a^(-[log_(e)x])dx,(agt1) .Here [.] represents the greatest integer function.

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

The value of int_(pi)^(2 pi)[2sin x]dx where [.] represents the greatest integer function is