   Chapter 4.5, Problem 79E

Chapter
Section
Textbook Problem

# The following exercise are intended only for these who have already covered Chapter 6.Evaluate the integral. ∫ cot x   d x

To determine

To evaluate:

The given integral.

Explanation

1) Concept:

The substitution rule: If u=g(x) is a differentiable function whose range is I,  and f is continuous on I, then f(gx)g'xdx=f(u)du. Here g(x) is substituted as u and then differentiation

g(x)dx =du

2) Formula:

i.

cotx=cosxsinx

ii.

1xdx=ln|x|+c

3) Given:

cotx dx

4) Calculation:

Consider the given integral,cotx dx

By using trigonometric identity

cotx dx=

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