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Unread 15-05-2013, 13:05
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Re: numerical computation challenge

Quote:
Originally Posted by Michael Hill View Post
I took the initial y=... function and rotated it by pi/4 (45 degrees) using the transformation matrix:
Code:
y'     [cos(pi/2) sin(pi/2)] [y]
   =
x'     [cos(pi/2) -sin(pi/2)] [x]
That allows me to essentially take the integral above the new y' and simply multiply it by 2.
Rather than going through the trouble of transforming it, I just subtracted the integral of y=x, as that's the symmetry line.

I got 0.536595 for the area -- found the second intercept at .95012, then just took the integral from 0 to .95012 of [10*ln(x)/exp(x)-x] and multiplied by 2.
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