Question

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

Answer 1

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

Explanation:

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

`intcosx/(2+sinx)dx`

= `int(du)/u`

= `lnu+c`

= `ln(2+sinx)+c`