# Chapter 7 - Exponential Functions - 7.3 Logarithms and Their Derivatives - Exercises - Page 343: 93

$$\ln |\sin x|+c$$

#### Work Step by Step

We have $$\int \cot x dx = \int \frac{\cos x}{\sin x}dx=\\ \ln |\sin x|+c$$ Where we used the facts that $(\sin u)'=\cos u$ and $\int \frac{u'}{u}=\ln u$.

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