The value of the integral `int_0^(3/2) [x^2]dx`, where `[]` denotes the greatest integer function, is (A) `2+sqrt(2)` (B) `2-sqrt(2)` (C) `4+2sqrt(2)` (D) `4-2sqrt(2)`

The value of the integral int_(0)^(0.9) [x-2[x]] dx , where [.] denotes the greatest integer function, is

The value of int_(0)^(2)[x^(2)-1]dx , where [x] denotes the greatest integer function, is given by:

int_0^oo[3/(x^2+1)]dx, where [.] denotes the greatest integer function, is equal to (A) sqrt2 (B) sqrt2+1 (C) 3/sqrt2 (D) infinite

The value of int_(0)^(2)[x^(2)-x+1] dx (where , [.] denotes the greatest integer function ) is equal to

The value of int_0^([x]) 2^x/(2^([x])) dx is equal to (where, [.] denotes the greatest integer function)

The value of lim_(nto oo)(sqrt(n^(2)+n+1)-[sqrt(n^(2)+n+1)]) where [.] denotes the greatest integer function is

If [f((sqrt(3))/2)] is [.] denotes the greatest integer function) 4 (b) 5 (c) 6 (d) -7

The domain of the function f(x)=1/(sqrt([x]^2-2[x]-8)) is, where [*] denotes greatest integer function

The domain of f(x)=sin^(-1)[2x^2-3],w h e r e[dot] denotes the greatest integer function, is (-sqrt(3/2),sqrt(3/2)) (-sqrt(3/2),-1)uu(-sqrt(5/2),sqrt(5/2)) (-sqrt(5/2),sqrt(5/2)) (-sqrt(5/2),-1)uu(1,sqrt(5/2))

The domain of f(x)=sin^(-1)[2x^2-3],w h e r e[dot] denotes the greatest integer function, is (-sqrt(3/2),sqrt(3/2)) (-sqrt(3/2),-1)uu(-sqrt(5/2),sqrt(5/2)) (-sqrt(5/2),sqrt(5/2)) (-sqrt(5/2),-1)uu(1,sqrt(5/2))