purplemouse 3 years ago Integral sec t (tan t)^2 dt

1. Chlorophyll

u = sect

2. TuringTest

hah, you got that from that sqrt(x-2)/sqrt(x-1) thing, right?

3. TuringTest

sect(tan^2t)=sect(sec^2t-1)=sec^3t-sect

4. purplemouse

I did

5. TuringTest

$\int\sec^3 tdt$$u=\sec t$$dv=\sec^2 t$integrate by parts

6. purplemouse

I've gotten that far in the equation already, just not sure what to do with the sec^3 t

7. purplemouse

ah, okay.

8. TuringTest

^there it is this will be one of those integrals that repeats, so you will wind up adding the integral of sec^3 to both sides you will still have to integrate sec though, hope you remember how to do that ;)

9. purplemouse

I do :)

10. sophierox

correst