If `f = int_(0)^(20){x}[x]dx`. Where [x] is greatest integer function and {x} is fractional part function. Then, f = ?

int_(0)^(x) dx = "……." , where [x] is greatest integer function.

int_(-2)^(2)[x^(2)]dx (where [.] greatest integer function)

int_(0) ^(3) [x] dx= __________ where [x] is greatest integer function

The domain of f(x)=log_(10)x^(2)+[sin x]+{cos x} is where [.]is greatest integer function and {.} is fractional part function is

The function f(x)={x} sin (pi[x]) , where [.] denotes the greatest integer function and {.} is the fractional part function, is discontinuous at

Consider the function f(x) = {x+2} [cos 2x] (where [.] denotes greatest integer function & {.} denotes fractional part function.)

If f(x)=x+{-x}+[x] , where [x] and {x} denotes greatest integer function and fractional part function respectively, then find the number of points at which f(x) is both discontinuous and non-differentiable in [-2,2] .