I don't understand after breaking up sqrt(25-x^2) and all that how it integrates into In= 25(n-1)In-2 - (n-1)In What is it i'm not seeing? Sorry i don't know how to types maths haha.
I don't understand after breaking up sqrt(25-x^2) and all that how it integrates into In= 25(n-1)In-2 - (n-1)In What is it i'm not seeing? Sorry i don't know how to types maths haha.
Note that (n−1) can be put outside, and that xn−2(25−x2)=25xn−2−xn
Note that (n−1) can be put outside, and that xn−2(25−x2)=25xn−2−xn
This means the integral can be rewritten as
(n−1)∫0525−x225xn−2−xn.dx
=25(n−1)∫0525−x2xn−2.dx−(n−1)∫0525−x2xn.dx
The first integral is In−2 and the second is In
Yeah I put that (n-1) outside too, just makes life easier haha. Thank you so much for breaking it down for me, I was stumped for quite some time. It's clear as day now. Thanks again