Could anyone tell me what change of variables I can use to make $$\int_0^\pi \sin^4 x ({1\over a^2} \sin^4 x+ \sin^2 x \cos^2 x)^{-3/2} dx$$ into $\int_0^1 (1+(a^2-1)y^2)^{-3/2} dy$? Thank you very much!
Transforming an integral
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$\begingroup$
calculus
integration
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0Your answer is missing an $a^3$ in the front – 2012-03-12