# Single Variable Calculus, Chapter 7, 7.2-2, Section 7.2-2, Problem 70

## Expert Answers info

eNotes | Certified Educator

calendarEducator since 2007

write13,548 answers

starTop subjects are Math, Literature, and Science

Evaluate the integral $\displaystyle \int \frac{\cos x}{2 + \sin x} dx$

\begin{aligned} \text{Let } u =& 2 + \sin x \\ \\ du =& \cos x dx \\ \\ =& \int \frac{du}{u} \\ \\ =& \ln u + C \\ \\ =& ln (2 + \sin x) + C \end{aligned}