Evaluate the following integrals:
(i)
(ii)
(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