## anonymous 2 years ago need help proving reduction formula for calc

1. anonymous

2. anonymous

who's the author of your book?

Stewart?

5. anonymous

james stewart

What edition?

7. anonymous

calculus early transcendental 7th E

8. anonymous

@abb0t

Damn, I've got Calculus 6th oh well

Let me think; haven't done calc in a while

11. anonymous

hmmmmm

I'm just gonna BS this, maybe something will come to me. $$\int{tan^nxdx=\int tan^{n-1}}(x) tan(x)dx$$

13. anonymous

pg 469 section 7.1 #53

14. anonymous

yeah, i have the solution manual too, i was hoping someone would be able to explain it.

oookkaay; I think the solution is self-explanatory...

16. myininaya

$\int\limits_{}^{}\tan^n dx=\int\limits_{}^{}\tan^{n-2}(x)\tan^2(x) dx=\int\limits_{}^{}\tan^{n-2}(x)(\sec^2(x)-1) dx$ $=\int\limits_{}^{}\tan^{n-2}(x)\sec^2(x)-\int\limits_{}^{}\tan^{n-2}(x) dx$ do a sub let u=tan(x) du=sec^2(x) dx and you will see you are almost done

17. anonymous

@myininaya thank you!