`int_0^[x] dx`

Evaluate: int_0^3[x]dx

int_0^1.5[x]dx

Show that: (int_0^[x] [x]dx/(int_0^[x] {x}dx)=[x]-1 , where [x] denotes the integral part of x and {x}=x-[x] .

If f(n)=(int_0^n[x]dx)/(int_0^n{x}dx) (where,[*] and {*} denotes greatest integer and fractional part of x and n in N). Then, the value of f(4) is...

If [x] denotes the integral part of [x] , find int_0^1[x]dx, .

Evaluate the following definite integrals : int_0^4x\ dx

int_0^1 e^x dx

Let u=int_0^oo (dx)/(x^4+7x^2+1 and v=int_0^x (x^2dx)/(x^4+7x^2+1) then

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 ).

int_0^1(e^x dx)/(1+e^x)