anonymous 5 years ago $\int\limits_{}^{} \sqrt{t^{2}-1} dt$ u-sub?

1. anonymous

i dont think this is a u sub.... try doing integration by parts

2. anonymous

wait no i dont think that will workx

3. anonymous

I think you want a trig substitution.

4. anonymous

so like maybe the reciprocal of arcsec then?

5. anonymous

cause arcsec is 1/(u^2 - a^2)^.5

6. anonymous

soo maybe if you flip it around for both sides..... you would get the integral of ure EQ.

7. anonymous

just an idea

8. anonymous

$\int\sqrt{t^2-1}dt = \int sec(t) dt$

9. anonymous

Beyond that you'll either need to use a table or derive the integral of the sec function.

10. anonymous

just an idea

11. anonymous

Wait, no that's wrong.

12. anonymous

WHYYY

13. anonymous