If `f(x)=[tan^-1(tanx): x le pi/4 and pi[x]+1: 4 > pi/4,` then jump of discontinuity is (where [.] denotes greatest integer function)

If (x)=[tan^(-1)(tan x):x (pi)/(4) then jump of discontinuity is (where [.] denotes greatest integer function)

f(x)=1+[cos x]x in 0<=x<=(pi)/(2) (where [.] denotes greatest integer function)

f(x) = 1 + [cosx]x in 0 leq x leq pi/2 (where [.] denotes greatest integer function) then

If f(x)=(2x(sinx+tanx))/(2[(x+2pi)/(pi)]-3) then it is (where [.] denotes the greatest integer function)

If f(x)=(2x(sinx+tanx))/(2[(x+2pi)/(pi)]-3) then it is (where [.] denotes the greatest integer function)

f(x)=[(x^(3)+4x)/(2)] is discontinuous at x equal to (where [.] denotes the greatest integer function)

f: (0,oo) to (-pi/2,pi/2)" be defined as, "f(x)=tan^(-1) (log_(e)x) . If x_(1),x_(2) and x_(3) are the points at which g(x) =[f (x)] is discontinuous (where, [.] denotes the greatest integer function), then (x_(1)+x_(2)+x_(3))" is :"

f: (0,oo) to (-pi/2,pi/2)" be defined as, "f(x)=tan^(-1) (log_(e)x) . If x_(1),x_(2) and x_(3) are the points at which g(x) =[f (x)] is discontinuous (where, [.] denotes the greatest integer function), then (x_(1)+x_(2)+x_(3))" is :"

int_(0)^(pi//4)"sin" x d(x- [x]) is equal to , where [x] denotes greatest integer function-

Let f(theta)=[tan theta[cot theta]],theta in[(pi)/(12),(pi)/(2)) then the number of points where f(x) is discontinuous is (where [ .] denotes the greatest integer function)