How do you differentiate $( cos (x) ) / ( 2 + sin (x) )$ ?

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Answer 1 · 2017-01-21T07:14:49

$intcosx/(2+sinx)dx=ln(2+sinx)+c$

Let $u=2+sinx$ , then $du=cosxdx$ and

$intcosx/(2+sinx)dx$

= $int(du)/u$

= $lnu+c$

= $ln(2+sinx)+c$

How do you differentiate ( cos (x) ) / ( 2 + sin (x) ) ( cos (x) ) / ( 2 + sin (x) )?