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Evaluate: int(cos^3x)/(sin^2x+sinx)dx...

Evaluate: `int(cos^3x)/(sin^2x+sinx)dx`

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`I=int(cos^3x)/(sin^2x+sinx)dx`
`I=int(cos^2xcosx)/(sinx(1+sinx))dx`
`I=int((1-sin^2x)cosx)/(sinx(1+sinx))dx`
`I=int((1-sinx)(1+sinx)cosx)/(sinx(1+sinx))dx`
`I=int((1-sinx)cosx)/(sinx)dx`
Put `t=sinx`
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