anonymous
  • anonymous
\[\int\frac{dx}{\sqrt{x^2-81}}\]Tried \(\cos u,\sin u,\tan u\) substitutions but nothing fit. :|
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Woops, \(\sec u\) substitution, my bad.
anonymous
  • anonymous
But what do I do about\[\int\frac{1}{\tan u}\]
anonymous
  • anonymous
i don't think this is doable with trig-substitution. i don't know. :( sorry.

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anonymous
  • anonymous
It's the first problem in my textbook...
anonymous
  • anonymous
what calc is this? maybe find it numerically?
anonymous
  • anonymous
Calc2, non-numerical
anonymous
  • anonymous
maybe @directrix , @.Sam. , @Callisto, can help?
Callisto
  • Callisto
use sec theta
anonymous
  • anonymous
Yeah, I just figured it out.
.Sam.
  • .Sam.
\[x=\sec \theta\]
anonymous
  • anonymous
Can I ask a further question?
anonymous
  • anonymous
Or shoudl I create a new question?
.Sam.
  • .Sam.
yeah, create new one
Callisto
  • Callisto
x=9sec theta ... not sec theta
anonymous
  • anonymous
I know, it's the general hint that counts.
.Sam.
  • .Sam.
\[\sqrt{x^{2}-a^{2}}~~,x=asec \theta\]
anonymous
  • anonymous
Since I solved it, I think it's safe to say the hint worked. :)

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