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Evaluate: int(cos^7x)/(sinx)\ dx...

Evaluate: `int(cos^7x)/(sinx)\ dx`

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Given, `int(cos^7x)/(sinx)\ dx`
Put sinx=t then cosxdx=dt
=`int(cos^2x)^3/(t)\ dt`
=`int(1-sin^2x)^3/(t)\ dt`
=`int(1-t^2)^3/(t)\ dt`
=`int(1-t^6-3t^2+3t^4)dt/t`
=`int( 1/t-int t^5-int 3t+int 3t^3)dt`
...
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