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intcot^4thetacosec^4theta d theta

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Solution :`intcot^4thetacosec^4theta d theta`
`intcot^4theta(1+cot^2theta).cosec^4theta d theta`
[Put `cottheta=t`
Then`cosec^2thetad theta=-DT`
= `intt^4.(1+t^2).(-dt)=-INT(t^4+t^6)dt`
=`-{1/5t^5+1/7t^7}+C`
=`-{1/5cot^5theta+1/7cot^7theta}+C`
=`-1/5cot^5theta-1/7cot^7theta+C`


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