The discussion revolves around solving a definite integral involving the expression \(\int_{-\sqrt{E}}^\sqrt{E} \frac{\sqrt{E-W^2}}{BW^2+a}\,dW = n \pi\). Participants are exploring methods to simplify the solution, which is noted to be complex when computed using Mathematica.
The discussion is ongoing with various interpretations being explored. Some participants are providing guidance on potential methods, while others are clarifying the variables involved in the integral.
There is an indication that the solution derived from Mathematica is not satisfactory, prompting participants to seek alternative methods or insights. The original poster expresses a desire for "cunning tricks or ideas" to tackle the integral.
calum.g said:Homework Statement
im trying to solve this integral, though it is solvable using mathematica the solution is horrible. wondered if anyone has any cunning tricks or ideas
Homework Equations
integral between [tex]\int_{-\sqrt{E}}^{\sqrt{E}} \frac{\sqrt{E-W^2}}{BW^2+a}\,dW = n \pi[/tex]