## salparadise64 Group Title need help proving reduction formula for calc 7 months ago 7 months ago

who's the author of your book?

Stewart?

james stewart

What edition?

calculus early transcendental 7th E

@abb0t

Damn, I've got Calculus 6th oh well

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

hmmmmm

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

pg 469 section 7.1 #53

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