Solve Integral Problem: Tips & Ideas

[calum.g]

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 \int_{-\sqrt{E}}^\sqrt{E} \frac{\sqrt{E-W^2}}{BW^2+a}\,dW = n \pi

 

[dacruick]

what are you solving for? n in terms of the other values?

 

[calum.g]

E in terms of n

 

[Mark44]

I fixed your LaTeX.

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 \int_{-\sqrt{E}}^{\sqrt{E}} \frac{\sqrt{E-W^2}}{BW^2+a}\,dW = n \pi

I would probably start with a trig substitution.