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Evaluate: int(sinx)/(sin4x)dx...

Evaluate: `int(sinx)/(sin4x)dx`

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`=frac{1}{4} int frac{1}{cos x(cos ^{2} x-sin ^{2} x)} d x `

`=frac{1}{4} int frac{cos x}{(1-sin ^{2} x)(1-2 sin ^{2} x)} d x`

Put `sin {x}={t} Rightarrow cos {xdx}={dt}`

`Rightarrow {I}=frac{1}{4} int frac{{dt}}{(1-{t}^{2})(1+{t}^{2})}`

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