Integral calculation

May 2010
1
0
Hi,

This is the first time I post here. I hope I will do everything correctly (Wondering)

I would like to know how to calculate this expression:

\(\displaystyle \int_{a}^{b} \frac{x^2-1}{(x^2+y^2+z^2)^{5/2}}dx\)

I am pretty sure it exists a kind of method for it.

Thanks in advance.
 

Krizalid

MHF Hall of Honor
Mar 2007
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Santiago, Chile
put \(\displaystyle a^2=y^2+z^2,\) it's a constant, since you're integrating w.r.t. \(\displaystyle x.\)