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

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Eugene George Hall

Posts: 22
Registered: 11/7/10
[ap-calculus] Change of Variables
Posted: Jan 31, 2012 8:35 AM
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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
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