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## Main Question or Discussion Point

I'm having troubles solving this integral.

∫ (sinx)^2 / √( a - b*cos(x)) dx ; a & b just constants

I've tried many routes but get stuck.

And when substitution and product rule methods seem to fail. Are there other methods useful to go to when integrating strange functions?

∫ (sinx)^2 / √( a - b*cos(x)) dx ; a & b just constants

I've tried many routes but get stuck.

And when substitution and product rule methods seem to fail. Are there other methods useful to go to when integrating strange functions?