## ggrree 4 years ago Integral of tan^2(x)sec(x)

1. bahrom7893

u is Sec(x)!!!!

2. bahrom7893

du is tan^2(x) dx.. the rest is for myin.

3. TuringTest

not quite bahrom

4. myininaya

$\int\limits_{}^{}\tan(x) \cdot \tan(x) \sec(x) dx=\tan(x) \cdot \sec(x)-\int\limits_{}^{}\sec^2(x) \cdot \sec(x) dx$

5. bahrom7893

oh wait lol i got it the other way around hahaha

6. myininaya

And you can look at the integral sec^3(x) and use integration by parts there

7. myininaya

oh wait i didn't need to do what i did

8. myininaya

$\int\limits_{}^{}(\sec^2(x)-1)\sec(x) dx=\int\limits_{}^{}\sec^3(x) dx-\int\limits_{}^{}\sec(x) dx$

9. TuringTest

that person is leaving, just so you know they told me on another post

10. myininaya

$\int\limits_{}^{}\sec^3(x) dx=\int\limits_{}^{}\sec^2(x) \sec(x)dx=\tan(x) \sec(x)-\int\limits_{}^{}\tan(x) \sec(x) \tan(x) dx$ $\tan(x) \sec(x)-\int\limits_{}^{}(\sec^2(x)-1) \sec(x) dx$

11. myininaya

:(

12. TuringTest

I was doing problems with them for quite a while, but don't worry pretty sure they got what you were saying

13. myininaya

yay i think there is enough info here

14. ggrree

thanks to all of you! I got it now.