`f^(prime)(x)=phi(x)` and `phi^(prime)(x)=f(x)` for all x.Also,f(3)=5 and `f^(prime)(3)=4`. Then the value of `[f(10)]^2-[phi(10)]^2` is _____

Given f'(x)=g(x)" and "g'(x)=f(x)." Also, "f(3)=5" and "f'(3)=4." Then, the value of: "[f(10)]^(2)-[g(10)]^(2)=

Let f(x+y)=f(x)f(y) for all x and y . Suppose f(5)=2 and f^(prime)(0)=3 , find f^(prime)(5) .

Let the function f satisfies f(x)*f^(prime)(-x)=f(-x)*f^(prime)(x) foe all x and f(0)=3 The value of f(x).f^(prime)(-x)=f(-x).f^(prime)(x) for all x, is

Let f(x)=2^(2x-1) and phi(x)=-2^(x)+2x log2 If f'(x)>phi(x), then

int e^(x){f(x)-f'(x)}dx=phi(x), then int e^(x)f(x)dx is

If f(x)=x^(3)-x and phi (x)= sin 2x , then

int_(a)^(b)f(x)dx=phi(b)-phi(a)