Evaluate: `int_0^(10pi)[tan^(-1)x]dx ,w h e r e[x]` represents greatest integer function.

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.

Evaluate: int_0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest integer function.

Evaluate: int_0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest integer function.

Evaluate: int_0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest integer function.

Evaluate: int_0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest integer function.

Evaluate: int_0^(100)(x-[x]dx(w h e r e[dot] represents the greatest integer function).

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

Evaluate: int_0^(2pi)[sinx]dx ,w h e r e[x] denotes the greatest integer function.

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