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intcot^4thetacosec^4theta d theta |
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Answer» 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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