Math 1700 Distance: Tips for Assignment 3

Published: Wed, 02/13/13


 
Please note that I am now taking registrations for my midterm exam prep seminars.  Please click this link for more info and to register, if you are interested:
Grant's Exam Prep Seminars 
 
Did you read my tips on how to do well in Math 1700 Distance?  If not, here is a link to those important suggestions:
How to do Well in Math 1700 Distance 
 
Tips for Assignment 3
Even if you are not taking the distance course, I think it is very useful for all Math 1700 students to attempt these hand-in assignments.  In general, the assignments can be quite demanding and really force you to solidify your math skills.  However, the fact is that the distance course covers the topics in a different order from the classroom lecture sections, so I would not advise classroom students to look at this assignment until they have studied the relevant lessons in class.
 
Here is a link where you can download a copy of Assignment 3:
Math 1700 Distance Assignment 3 (Jan 2013) 
 
Note that you need to study Lesson  7 (Integrals of Trigonometric Functions), Lesson 8 (Integration by Parts), Lesson 9 (Integrating by Trig Substitution), and Lesson 10 (Integrating Rational Functions) from my Calculus 2 book to prepare for this assignment.  I think you should find this assignment fairly straightforward if you do thoroughly study and do all the Practise Problems I give you in these lessons. 
 
Don't have my book? You can download a sample containing two lessons here (unfortunately, the sample contains lessons 1 and 11):
 
If you are given a definite integral to solve, I always suggest that you should first solve the indefinite integral, then return to the definite integral to deal with the endpoints.
 
A hint to get you started on question 3: Let w = √x, and substitute w into the integral first.  (Which is to say, do a w substitution like a u substitution.  We are avoiding using u because we will want to use u later in the problem.)  Then look at the problem with fresh eyes.
 
A hint to get you started on question 7: There is a trig identity that will help out here.
 
Question 9 is a lu-lu.  You will need to know almost every technique of integration to solve this one, so don't panic if it isn't solving quickly or neatly.