I am trying to integrate [math] \int\frac{dx}{x\sqrt{x^6 -25}} [/math] I tried using algebra to change it so it easier to use substitution to complete the integration. Here what I did: [math] \int\frac{dx}{5x\sqrt{(\frac{x^3}{5})^2 -1}} [/math]

 

How can I approach this problem? This is just a problem out of my book for practice. I do have the solution to the problem.

Hey Tracker,

 

Your post title is your solution.. look at certain inverse trigonometric functions whose derivatives fit this format, and you will get much closer to a solution.. you might have to use a u-substitution on top of the inverse-trig, but it's working.

 

Take a look here, for starters: http://www.math.com/tables/integrals/tableof.htm

 

Does that help?