Evaluate `("lim")_(xvec(5pi)/4)` `[sinx+cosx],` where [.] denotes the greatest integer function.

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

Statement 1: The value of [("lim")_(nvecoo)(sinxtanx)/(x^2)] is 1, where [.] denotes the greatest integer function. Statement 2: For (0,pi/2),sinx

Evaluate int_(0)^(3) [x]dx ,where [.] denotes the greatest integer function.

int_(0)^(pi)[cotx]dx, where [.] denotes the greatest integer function, is equal to

Evaluate int_(-1)^(3) [x]dx ,where [.] denotes the greatest integer function.

Evaluate: ("lim")_(xrarr0) (sin[cosx])/(1+[cosx])([dot] denotes the greatest integer function).

Evaluate: int_0^((5pi)/(12))[tanx]dx , where [dot] denotes the greatest integer function.

("lim")_(xvec0)[(sin(sgn(x)))/((sgn(x)))], where [dot] denotes the greatest integer function, is equal to (a)0 (b) 1 (c) -1 (d) does not exist

Evaluate: int_0^(2pi)[sinx]dx ,w h e r e[x] denotes the greatest integer function.

Evaluate int_(2)^(5)(x+[x])dx ,where [.] denotes the greatest integer function.