A)

calculate $\displaystyle I=\int_{0}^{1}\cos(\frac{\pi}{2}x^2)$

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 $\displaystyle T_{2,1}$ 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$\displaystyle T_{3,1}$

??