Hi,

I have a function $\displaystyle f:x \to y$ for which I would like to find the integral. The function "f" is:

$\displaystyle y=k e^{\frac{\arccos{\left(\frac{2x}{N}-1\right) z}}{n \pi}}$

This is proving rather diffucult for my level of maths skill. Any pointers would be much welcomed.

I have found the integral of the inverse function, $\displaystyle f^{-1}:y \to x$, that is to say, the integral of $\displaystyle x=\frac{N}{2}\left(\cos(\frac{n \pi \ln \frac{y}{k}}{z})+1\right)$. Might it be possible to derive the integral of $\displaystyle f$ from the integral of $\displaystyle f^{-1}$?

Thanks