# Problem in understandind sultion in numerical analisys

1. Jun 25, 2010

### nhrock3

A)
calculate $$I=\int_{0}^{1}\cos(\frac{\pi}{2}x^2)$$
by trapeze methos in those pannels
m=1,2,4,8
?

B)
what is the best aproximation we can get from part A of the question?

solution:
the solution for part A is
http://i47.tinypic.com/2vmh4b9.jpg

my problem start with the solution of part B

http://i45.tinypic.com/b4jorq.jpg

how they find $$T_{2,1}$$ for example??
how each index plays a role in the formula
by what formula they work on??

how they find out that the best approximation is$$T_{3,1}$$
??

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