1.

Evaluate: \(\frac{cosx}{1 + cosx}\)

Answer»

\(\frac{cosx}{1 + cosx}\)dx

= ∫(cot x . cosecx – cot2x)dx 

= -cosec x – ∫(cosec2x – 1)dx 

= -cosecx -(- cotx) + x + c 

= -cosecx + cotx + x + c



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