   Chapter 7.R, Problem 56E

Chapter
Section
Textbook Problem

# Use the Table of Integrals on the Reference Pages to evaluate the integral. ∫ csc 5 t   d t

To determine

To evaluate:

The integral csc5tdt using the table of integrals.

Explanation

Calculation:

Let I=csc5tdt

We use the following formula for n=5

cscnudu=-1n-1cotu.cscn-2u+n-2n-1cscn-2udu

So, after putting n=5, we have

csc5tdt=-14cott.csc3t+34csc3tdt……(A)

Now, again using the formula for n=3, we have

csc3tdt=-12cott

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