The problem is Integrate sqrt(9x^2-25)/x^3 dx To solve for this would I use a right triangle like so I also think you might need to use a sec identity where the sqrt(x^2-a^2)=asec(theta) but I'm not sure how to set that up.
Last edited by goku900; Mar 23rd 2013 at 07:48 AM.
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The question is not clear as to what is given and what do you want to find out.
Sorry, forgot to say that needs to be integrated.
Originally Posted by goku900 The problem is Integrate sqrt(9x^2-25)/x^3 dx To solve for this would I use a right triangle like so I also think you might need to use a sec identity where the sqrt(x^2-a^2)=asec(theta) but I'm not sure how to set that up. It might be easier to use a Hyperbolic Substitution rather than a Trigonometric. Recall that . Also . So in this case, a substitution is appropriate.
You should have 3x on the hypotenuse. So your substitution is or and then or . - Hollywood
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