If [x] denotes the integral part of x for real x, and
`S= [(1)/(4)]+[(1)/(4) +(1)/(100)]+[(1)/(4)+(1)/(100)] + [(1)/(4)+(3)/(200)] .....+ [(1)/(4)+ (199)/(200)]` then

If [x] denotes the integral part of x for real x, and S= [(1)/(4)]+[(1)/(4) +(1)/(200)]+[(1)/(4)+(1)/(100)] + [(1)/(4)+(3)/(200)] .....+ [(1)/(4)+ (199)/(200)] then S is

For a real number x,[x] denotes the integral part of x. The value of [(1)/(4)]+[(1)/(4)+(1)/(00)]+[(1)/(4)+(2)/(100)]+[(1)/(4)+(3)/(100)]+.........+[(1)/(4)+(99)/(100)]=

If [x] denotes the integral part of x , find int_0^x[t+1]^3dt .

If {x} denotes the fractional part of x, then {5^2/8} is:

If [x] is the integral part of a real number x . Then solve [2x]-[x+1]=2x

If {x} denotes the fractional part of x'x', then 82{(3^(1001))/(82)}=

If [x] denotes the integral part of [x] , show that: int_0^((2n-1)pi) [sinx]dx=(1-n)pi,n in N

If {x} denotes the fractional part of x, then lim_(xrarr1) (x sin {x})/(x-1) , is

{x} denotes the fractional part of a real no.x, then lim_(x rarr0){(ln(1+{x}))/(x)}

If [x] denotes the integral part of x and f(x)=min(x-[x],-x-[-x]) show that: int_-2^2f(x)dx=1