During the process of solving a differential equation which appears in the calculations of a particle physics problem, I encounter the following integral: $$\int\dfrac{d\phi}{\sqrt{a\phi^4+b\phi^2+c}}$$ where $c$ is a constant from a previous integration and $a,b$ are some physical constants.
Is it possible to integrate this analytically? My knowledge on this is quite a bit rusty. Any hints on how to tackle the calculation?
