f(x)f(x)=10-(x-1)^(2)dx

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 f(-1)=4, ifint(f(x))/(x^(2)(1+x)^(2))dx is a rational function then the value of f(10)

If f(x) =(x-1)/(x+1),f^(2)(x)=f(f(x)),……..,……..f^(k+1)(x)=f(f^(k)(x)) ,k=1,2,3,……and g(x)=f^(1998)(x) then int_(1//e)^(1) g(x)dx is equal to

If for non zero x , 3f(x)+4f((1)/(x))=(1)/(x)-10 , then the value of int_(2)^(3)f(x)dx is

If for non zero x , 3f(x)+4f((1)/(x))=(1)/(x)-10 , then the value of int_(2)^(3)f(x)dx is

If f(x)=(x-1)/(x+1),f^2(x)=f(f(x)),........,f^(k+1) (x)=f(f^k(x)),k=1,2,3,...g(x)=f^1998(x), then int_(1/e)^1 g(x)dx is equal to

Let f(x)=(x^(2)-x)/(x^(2)+2x) then d(f^(-1)x)/(dx) is equal to

If f(x) = (x^(2)-x)/(x^(2)+2x) , then d/dx [f^(-1)(x)] =

If x^(f(x))=e^(x-f(x)) , then the value of integral int_(1)^(2)f'(x){(1+logx)^(2)}dx+1 is

If f(x)+int{f(x)}^(-2)dx=0 and f(1)=0 then f(x) is