   Chapter 7.5, Problem 13E

Chapter
Section
Textbook Problem

# Evaluate the integral. ∫ sin 5 t cos 4 t   d t

To determine

To find:

sin5tcos4tdt

Explanation

Formula used:1. dcosxdx=-sinx

2. xndx=xn+1n+1

3. sin2x=1-cos2x

Calculations: The given integral I can be simplified as

I=1-cos2t2cos4tsintdt

Let cost=u, so that –sintdt=du, putting these values in I, we get:

I=-1-u22

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