If I=indefinite integral of (sqrt(a^2x^2-b^2)/x) dx and x=c*sec(u) so that the substitution reduces I to b*integral of (tan(u))^2*du.
Hence evaluate I.

Question

If I=indefinite integral of (sqrt(a^2x^2-b^2)/x) dx and x=c*sec(u) so that the substitution reduces I to b*integral of (tan(u))^2*du.
Hence evaluate I.

anonymous · Answer

HELP?

anonymous · Answer

Does anyone have a clue?

zepdrix · Answer

$$\large \int\limits \frac{\sqrt{a^2x^2-b^2}}{x}dx$$It's a little bit hard to read in text, does this look correct?

zepdrix · Answer

If you're using Internet Explorer, you'll have trouble viewing the code.
Lemme know if it's just a bunch of ugly jumbled up text.

anonymous · Answer

yes thats correct

zepdrix · Answer

They're just telling you to make a `Trig Substitution` in order to solve this integral.
Have you had much work with trig subs yet?
This one is a tiny bit tricky.

anonymous · Answer

we just started trig subs. Im fine with it but I am not successful with this one at all

anonymous · Answer

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