Let `f(x)=[3+4sinx]`. If sum of all the values of `x` in `[pi,2pi]` where `f(x) ` fails to differentiable is , `(kpi)/2`, then find the value of k.

Let f(x)=[3+4sin x]. If sum of all the values of x in [pi,2 pi] where f(x) fails to differentiable is,(k pi)/(2), then find the value of k .

Let f(x)=[3+4sin x] (where I l denotes the greater integer function).If sum of all the values of x' in [pi,2 pi] where f(x) fails to be differentiable is (k pi)/(2), then find the value of k

If f(x)=|x^(2)-3x+2|+|sinx| then number of points where f(x) is not differentiable in [-pi,pi] is

Let g(x)=f(x)sin x, where f(x) is a twice differentiable function on (-oo,oo) such that f(-pi)=1. The value of |g'(-pi)| equals

If f(x)=x+sin x, then find the value of int_(pi)^(2 pi)f^(-1)(x)dx

Let K be the set of all values of x, where the function f(x) = sin |x| - |x| + 2(x-pi) cos |x| is not differentiable. Then, the set K is equal to

Let f(x)=|(4x+1,-cosx,-sinx),(6,8sinalpha,0),(12sinalpha, 16sin^(2)alpha,1+4sinalpha)| and f(0)=0 . If the sum of all possible values of alpha is kpi for alpha in [0, 2pi] , then the value of k is equal to

The sum of the roots of the equation |sqrt3cos x-sinx|=2" in "[0, 4pi] is kpi , then the value of 6k is