00:01
For this integral, let's just start off by rewriting it and then multiplying the numerator and denominator both by, let's do 1 minus cosine.
00:27
So let's go ahead and simplify out numerator and denominator separately.
00:39
On the bottom, 1 minus cosine squared.
00:44
Up top 1 minus cosine x plus sign minus sine times cosine running out of room here times cosine x and here we can rewrite this is sine square that's one of your pythagrin identities so let's go ahead and split this into four n over rules so the first term 1 over sine squared then cosine, sine squared on the bottom for all these terms.
01:36
Then here we have sine x over sine squared.
01:42
You see that you could cancel one of those signs.
01:47
And then finally, our last term, sine times cosine, sine squared again.
01:58
Cancel one of those signs here as well...