Let `[x]` denote the greatest integer less than or equal to `x`, then `int_0^(pi/4) sinx d(x-[x])=`
(A) `1/2` (B) `1-1/sqrt(2)` (C) `1` (D) none of these

Let [x] denote the greatest integer less than or equal to x . Then, int_(0)^(1.5)[x]dx=?

Let [x] denotes the greatest integer less than or equal to x and f(x)=[tan^(2)x] . Then

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If f(x)={((tan^-1(x+[x]))/([x]-2x)[x]ne0,,),(0[x]=0,,):} where [x] denotes the greatest integer less than or equal to x, than lim_(xto0) f(x) is (a) (-1)/2 (b) 1 (c) (pi)/4 (d) Does not exist

If [x] denotes the greatest integer less than or equal to x,then the value of lim_(x->1)(1-x+[x-1]+[1-x]) is

If [x] denotes the greatest integer less than or equal to x, then the solution set of inequation ([x]-2)/(4-[x]) > 0, is ...

Let a=int_0^(pi/2) sinx/xdx , then (A) 0ltalt1 (B) agt2 (C) 1ltaltpi/2 (D) none of these