`int_0^x(2^t)/(2^([t]))dt ,w h e r e[dot]` denotes the greatest integer function and `x in R^+` , is equal to

rArrint_(0)^(oo) [(2)/(e^(x))]dx (where [*] denotes the greatest integer function) equals

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

If p=(8+3sqrt(7))^n a n df=p-[p],w h e r e[dot] denotes the greatest integer function, then the value of p(1-f) is equal to a.1 b. 2 c. 2^n d. 2^(2n)

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

The value of int_(0)^(oo)[2e^(-x)]dx (where,[^(*)] denotes the greatest integer function of (x) is equal to

If [x] denotes the greatest integer function and [e^x]^2+[e^x+1]-3=0 then x in