Our EXP functions are made in the following way:

• Any constant $ \in \Bbb R$ is a EXP
• $X \in \Bbb R$ is a EXP
• $sin( g(x))$, $cos( g(x))$
• $tan( g(x))$ are EXP, $g(x)$ is a EXP and $g(x) \neq \frac\pi 2 + k\pi, k \in \Bbb Z $
• $sqrt( g(x))$ is a EXP, $g(x)$ is a EXP and $g(x) \geq 0$
• $pow( f(x),g(x))$ is a EXP, $g(x),f(x)$ are EXP
• $exp(g(x))$ is a EXP
• $ln(f(x))$ is a EXP, $f(x) \gt 0$ is a EXP
• $f(x)+g(x)$ is a EXP, $g(x),f(x)$ are EXP
• $f(x)-g(x)$ is a EXP, $g(x),f(x)$ are EXP
• $f(x)*g(x)$ is a EXP, $g(x),f(x)$ are EXP
• $f(x)/g(x)$ is a EXP, $g(x),f(x)$ are EXP and $g(x) \neq 0$
• $f'(f(x))$ is a EXP (derivative)

What I want to know, is if there's an algorithm that, given $f(x) \in EXP$ can say:

• Yes: iff there exist a $g(x)$ such that $g'(x) = f(x)$ and $g(x) \in EXP$
• No: otherwise
• Always halt