Answer :

(i)



Now, we know that 1+cosx=2cos2 (x/2)


So, applying this identity in the given integral, we get,






Ans:


ii)



Now, we know that cosec2x-cot2 x=1


So, applying this identity in the given integral we get,





-2cotx-x+c


-2cotx-x+c


Ans: -2cotx-x+c


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