Integration Help: dx/(5-4x-(x^2))^(5/2)

[joseph9496]

Homework Statement

Hi everyone
im stuck with the following integration..

Homework Equations

integral of dx/(5-4x-(x^2))^(5/2)

The Attempt at a Solution

can anyone help me?
thanks

 

[tiny-tim]

… complete the square … !

Hi joseph!

With quadratics, it's usually best to start by completing the square:

5 - 4x - x^2 = 9 - (x + 2)^2.

(And then you can even change to y = x + 2, dy = dx, if you like!)

Does that help?

 

[joseph9496]

OH YEAH!
i never thought of that!
thanks a lot!