calculus
posted by andre .
Find the Maclaurin series of xcos(x^2).

well, you know that
cos(x) = 1  x^2/2! + x^4/4!  ...
so,
cos(x^2) = 1  x^4/2! + x^8/4!  ...
Now just multiply that by x.
See
http://www.wolframalpha.com/input/?i=x+cos(x%5E2)
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