Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Courses » ap-calculus

Topic: [ap-calculus] Change of Variables
Replies: 1   Last Post: Jan 31, 2012 9:56 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Eugene George Hall

Posts: 22
Registered: 11/7/10
[ap-calculus] Change of Variables
Posted: Jan 31, 2012 8:35 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In my Larson-Hostetler-Edwards Calculus book they encourage students to write a change of variable integration in two different forms.
Example: Integral(x * sqrt(x + 2) dx) can be written as
(2/5)(x + 2) ^ (5/2) - (4/3)(x + 2) ^ (3/2) +C
OR a more attractive version but more work is
(2/15)(x + 2) ^ (3/2) * (3x -4) + C.
That example is not that bad but some of the other ones can be intense. Do I need to have students be able to write them in both forms? The algebra can get pretty messy(for students).

Thanks for your time!

Eugene Hall
Newtown High School
Sandy Hook, CT
====
Course related websites:
http://apcentral.collegeboard.com/calculusab
http://apcentral.collegeboard.com/calculusbc
---
To search the list archives for previous posts go to
http://lyris.collegeboard.com/read/?forum=ap-calculus
To unsubscribe click here:
http://lyris.collegeboard.com/read/my_forums/
To change your subscription address or other settings click here:
http://lyris.collegeboard.com/read/my_account/edit



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.