Question

\[\int\limits_{}^{} \sqrt{t^{2}-1} dt\]
u-sub?

Answer 1

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

Answer 2

wait no i dont think that will workx

Answer 3

I think you want a trig substitution.

Answer 4

so like maybe the reciprocal of arcsec then?

Answer 5

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

Answer 6

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

Answer 7

just an idea

Answer 8

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

Answer 9

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

Answer 10

just an idea

Answer 11

Wait, no that's wrong.

Answer 12

WHYYY

Answer 13

http://en.wikipedia.org/wiki/Trigonometric_substitution#Integrals_containing_x2_.E2.88.92_a2