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 (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 ).

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

LetI_(1)=int_(0)^(n)[x]dx and I_(2)=int_(0)^(n){x}dx where [x] and {x} are integral and fractionalparts of x and n in N-{1}. Then (I_(1))/(I_(2)) is equal to

If f(n)=(int_(0)^(n)[x]dx)/(int_(0)^(n){x}dx)( where,[^(*)] and {^(*)} denotes greatest integer and tractional part of x and n in N). Then,the value of f(4) is...

Evaluate: int x(1-x)^(n)dx

Evaluate: int_0^1x(1-x)^n dx

Evaluate int(dx)/(x(x^(n)+1))