*Forest Of Illusion* (y3k_fore.xm)

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*Forest Of Illusion*
By Y3K
Sep-20-2006
(C)2006 BST/FWM
A Crystal ME
Production
feborron_hotmail.com
http://
lamagiadelcolibri.
blogspot.com
(Not updated yet)
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Inspired on Super
Mario Bros Series:
"Forest Of Illusion"
Super Mario World
(C)1991 Nintendo
-----------------
I miss the good old
times! Those days
I studied Calculus Two
with my friends. The
professor was nice,
not as others... >:)
September-October-
November 1998, I
won't forget you...
Let's compute
Int(1/(1+xE2)dx)
Answer:Arctan(x)+C
(E means powered to)
     *Exercises*
1)Int(dx/sqrt(1-xE2))
2)Int(Arccos(x)dx)
3)Int(cosec(x)dx)
4)Int(eE(px)*cos(qx)dx
       *Answers*
1)Trivial(think about
the derivative of
Arccos(x)...
2)Use geometry or
integration by parts
3)Trick: amplify by
the fraction:

cosec(x)+cot(x)
--------------
cosec(x)+cot(x)

4)Use the complex
expression:

C+i*S=Int(eE(px)*
cos(qx)dx)+i*Int(eE
(px)*sin(qx)dx)

and use the fact that
eE(ix)=cos(x)+i*sin(x)

See ya!!!!!!!
======================
Fernando Borroni
Ferrari
Lic. Mathemathics
Pontificia Universidad
Catolica Of Chile
======================
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