Find `x` satisfying `[tan^(-1)x]+[cot^(-1)x]=2,` where `[.]` represents the greatest integer function.

Sove [cot^(-1) x] + [cos^(-1) x] =0 , where [.] denotes the greatest integer function

Q The value of x satisfying the inequality [tan^(-1)x]^(2)-2[tan^(-1)x]-3<=0 where [.] represents greatest integer function,then x varepsilon

Let [.] represent the greatest integer function and f(x)=[tan^(2)x] then :

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

Evaluate: lim (tan x)/(x) where [.] represents the greatest integer function

If f(x)=|x-1|.([x]=[-x]), then (where [.] represents greatest integer function)

Evlute [limt_(x to 0)(tan^(-1)x)/(x)] , where [*] re[resemts the greatest integer function.

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