   Chapter 7.6, Problem 30E

Chapter
Section
Textbook Problem

# Use the Table of Integrals on Reference Pages 6–10 to evaluate the integral. ∫ e t sin ( α t − 3 ) d t

To determine

To evaluate the integral etsin(αt3)dt

Explanation

Calculation:

Given etsin(αt3)dt

Let u=αt3 and du=αdt

etsin(αt3)dt = 1αe(u+3)αsinudu=1αe3αe(1α)usinudu

We Know that

eαusinudu=eαu1+α2(αsinucosu)+C

One may obtain the above result from entry number 98 of the integral table

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