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int sqrt(sin(x-alpha)/sin(x+alpha)) dx...

`int sqrt(sin(x-alpha)/sin(x+alpha)) dx`

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Given, `int sqrt(sin(x-alpha)/sin(x+alpha)) dx`
= `int sqrt((sin(x-alpha)(sin(x-alpha)))/(sin(x+alpha)(sin(x-alpha))) dx`
= `int (sin(x-alpha)/(sqrt(sin^2x-sin^2alpha))) dx`
=`int (sinx.cosalpha-cosxsinalpha)/(sqrt(sin^2x-sin^2alpha)) dx`
=`cosalphaint (sinx)/(sqrt(sin^2x-sin^2alpha))-sinalpha int(cosx)/(sqrt(sin^2x-sin^2alpha)) dx`
=`cosalphaint (sinx)/(sqrt(cos^2alpha-cos^2x))-sinalpha int(cosx)/(sqrt(sin^2x-sin^2alpha)) dx`
=`-cosalphasin^(-1)((cosx)/(cosalpha))-sinalphalog(|sinx+sqrt(sin^2x-sin2alpha)|)`
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