# Chapter 13 - The Trigonometric Functions - Chapter Review - Review Exercises - Page 701: 10

$${\text{False}}$$

#### Work Step by Step

\eqalign{ & {\text{False}}{\text{, the integral can be evaluated using the substitution method}} \cr & \int {\frac{{\cos x}}{{5 + \sin x}}} dx \cr & {\text{then let }}u = 5 + \sin x,\,\,\,\,\,\,du = \cos xdx \cr & \int {\frac{{\cos x}}{{5 + \sin x}}} dx = \int {\frac{{du}}{u}} \cr & = \ln \left| u \right| + C \cr & = \ln \left| {5 + \sin x} \right| + C \cr}

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