Evaluate `(int_(0)^(n)[x]dx)/(int_(0)^(n){x}dx)` (where `[x]` and `{x}` are integral and fractional parts of `x` respectively and `n epsilon N`).

Evaluate: (int0n[x]dx)/(int0n{x}dx)(w h e r e[x]a n d{x} are integral and fractional parts of xa n dn in N)dot

Evaluate: (int0n[x]dx)/(int0n{x}dx)(w h e r e[x]a n d{x} are integral and fractional parts of xa n dn in N)dot

The expression (int_(0)^(n)[x]dx)/(int_(0)^(n){x}dx) a where [x] and [x] are integrala and fractional parts of x and n in N is equal to

Evaluate int_(0)^(1)x(1-x)^(n)dx

Evaluate : (i) int_(-1)^(2){2x}dx (where function {*} denotes fractional part function) (ii) int_(0)^(10x)(|sinx|+|cosx|) dx (iii) (int_(0)^(n)[x]dx)/(int_(0)^(n)[x]dx) where [x] and {x} are integral and fractional parts of the x and n in N (iv) int_(0)^(210)(|sinx|-[|(sinx)/(2)|])dx (where [] denotes the greatest integer function and n in 1 )

If int_(0)^(x)[x]dx=int_(0)^(|x|)x dx, (where [.] and {.} denotes the greatest integer and fractional part respectively), then

The value of (int_0^n[x]dx)/(int_0^n{x}dx is (where [x] and {x} denotes the integral part and fractional part functions of x and x in N )