Direct integration by substitution

GeoMike
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Definite integration by substitution

I just need a check on this, the book and I are getting different answers...

The problem and my answer:
http://www.mcschell.com/p14.gif

http://www.mcschell.com/p14_worked.jpg

The book gives 0.00448438 though. :confused:

Thanks!
-GeoMike-
 
Last edited by a moderator:
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Your answer looks right. Maybe you copied the question wrong?
 
Your answer is correct, assuming that you gave us the correct problem.

Nice work, by the way - very neat handwriting!
 
I'm sure they mistyped the answer in the book.

Daniel.
 
Last edited:

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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