   Chapter 7.5, Problem 28E

Chapter
Section
Textbook Problem

# 7.5 EXERCISESEvaluate the integral. ∫ sin a t   d t

To determine

To find:

sinatdt

Explanation

Formula used: 1. dxndx=nxn-1

2. sinxdx=-cosx

Calculations: Let at=x, so that dt=2atadx

The integral I can be written as

I=2axsinudx To use integration by parts

Let u=x so du=dx

And dv=sinx dx so v=-cosx

Thus the integral I becomes

I=

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