How to intergrate this?

Nov 2009
28
0
Find. (1+3/x^2)^2 dx

-> x + 6/x^2 + 9/x^4
->????????(Headbang)
 

Soroban

MHF Hall of Honor
May 2006
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Lexington, MA (USA)
Hello, ansonbound!

Find: .\(\displaystyle \int \left(1+\frac{3}{x^2}\right)^2\,dx\)

We have: .\(\displaystyle \int\left(1 + \frac{6}{x^2} + \frac{9}{x^4}\right)\,dx \;=\;\int\left(1 + 6x^{-2} + 9x^{-4}\right)\,dx \)

Got it?

 
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