Let f (x) be a quadratic function such that f (0) =1 and `f(-1)=4, ifint(f(x))/(x^(2)(1+x)^(2))dx` is a rational function then the value of f(10)

Let f(x) be a quadratic function such that f(0)=1 and int(f(x))/(x^(2)(x+1)^(3))dx is a rational function,then the value of f'(0) is

If f(x) is a quadratic function such that f(0)=3,f(1)=6 and f(2)=11 , then: f(x)=

If f(x) is a quadratic function such that f(0)=2, f(1) =3 and f(4) =42, find the value of f(5) .

Let f(x) be a quadratic function such that f(0)=f(1)=0&f(2)=1, then lim_(x rarr0)(cos((pi)/(2)cos^(2)x))/(f^(2)(x)) equal to

Let f(x) be a function such that f(x)*f(y)=f(x+y),f(0)=1,f(1)=4. If 2g(x)=f(x)*(1-g(x))

Let f(x) be a function such that f'((1)/(x))+x^(3)f'(x)=0. What is int_(-1)^(1)f(x)dx

Let f:R rarr R be a function such that f(2-x)=f(2+x) and f(4-x)=f(4+x), for all x in R and int_(0)^(2)f(x)dx=5. Then the value of int_(10)^(50)f(x)dx is

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1+x) then (1) g(x) is an odd function (2)g(x) is an even function (3) graph of f(x) is symmetrical about the line x=1 (4) f'(1)=0