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

The value of int _(1)^(2)(x^([x^(2)])+[x^(2)]^(x)) d x is equal to where [.] denotes the greatest integer function

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

The value of int_(0)^(100)[ tan ^(-1)x] d x is equal to (where [.] denotes the greatest integer function)

int_(0)^([x]//3) (8^(x))/(2^([3x]))dx where [.] denotes the greatest integer function, is equal to

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

the value of int_(0)^([x]) dx (where , [.] denotes the greatest integer function)

Let f be a differentiable function satisfying int_(0)^(f(x))f^(-1)(t)dt-int_(0)^(x)(cost-f(t)dt=0 and f((pi)/2)=2/(pi) The value of lim_(x to 0)(cosx)/(f(x)) is equal to where [.] denotes greatest integer function

Solve x^2-4x-[x]=0 (where [] denotes the greatest integer function).

The integral int_(-1/2)^(1/2) ([x]+1n((1+x)/(1-x)))dx is equal to (where [.] represents the greatest integer function)

The value of lim_(xrarr(pi)/(2))([(x)/(3)])/(ln(1+cotx)) is equal to (where, [.] denotes the greatest integer function )