If `f(x) = x +int_0^1 \ (xy^2 + x^2y) f(y) dy` where x and y are independent variable. Find `f(x)`.

If f(x)=x+int_(0)^(1)(xy^(2)+x^(2)y)f(y)dy where x and y are independent variable.Find f(x)

If f(x) =x + int_(0)^(1) (xy^(2)+x^(2)y)(f(y)) dy, "find" f(x) if x and y are independent. Find f(x) .

If f(x)=x+int_0^1(xy^2+x^2y) dy find f(x)

If f(x) =x + int_(0)^(1) (xy^(2)+x^(2)y)(f(y)) dy, "find" f(x) if x and y are independent.

If f(x) =x + int_(0)^(1) (xy^(2)+x^(2)y)(f(y)) dy, "find" f(x) if x and y are independent.

Let f be a real valued continuous function on R . (the set all real numbers) and satisfying f(x)=x^(2)+int_(-1)^(1)(x+y)f(y)dy where x and y are independent variables.f(x)>k for every real x,then the largest integral value of k is

If f(x)=x+int(xy^(2)+x^(2)y)f(y)dy o*f(x)=(Ax^(2)+Bx)/(C) then

let f (x) = int _(0) ^(x) e ^(x-y) f'(y) dy - (x ^(2) -x+1)e ^(x) Find the number of roots of the equation f (x) =0.