Evaluate: (i) `int1/(1-cosx)\ dx` (ii) `int1/(1-sinx)\ dx`

Explanation

(i) `int(1)/(1-cosx)\ dx`


`=int(1+cosx)/(1-cos^2x)\ dx`


`=int(1+cosx)/(1-cos^2x)\ dx`


`=int(1+cosx)/(sin^2x)\ dx`


`=int(cosex^2x+cotxcosecx)\dx`


`=-cotx-cosecx+C`


(ii) `int1/(1-sinx)\ dx`


`=int(1+sinx)/(1-sin^2x)\dx`


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