Integration (Inverse Trigonometric Functions)

[Tracker]

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.

[mooeypoo]

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?