How to write an arbitrary function as the sum of an even function and an odd function. We derive expressions for the even and odd parts by forming a pair of simultaneous equations based on the desired symmetry properties. The thumbnail shows the graph of f(x) = e^x, along with its even and odd parts, the hyperbolic trigonometric functions. Integral mentioned in the video: About me: I studied Physics at the University of Cambridge, then stayed on to get a PhD in Astronomy. During my PhD, I also spent four years teaching Physics undergraduates at the university. Now, I'm working as a private tutor, teaching Physics & Maths up to A Level standard. My website: #mathematics #symmetry #functions #graphs #parity #calculus #integration #simultaneousequations #maths #math #science #education