## purplemouse Group Title Integral sec t (tan t)^2 dt 2 years ago 2 years ago

1. Chlorophyll Group Title

u = sect

2. TuringTest Group Title

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

3. TuringTest Group Title

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

4. purplemouse Group Title

I did

5. TuringTest Group Title

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

6. purplemouse Group Title

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

7. purplemouse Group Title

ah, okay.

8. TuringTest Group Title

^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 Group Title

I do :)

10. sophierox Group Title

correst