So .
Now let so that and the integral becomes
.
Now we need to make a trigonometric substitution so that and and the integral becomes
.
Hi, sorry for not fixing my profile but I'll get right on it after posting this problem. I'm sure there is a rule about Latex here but forgive me if I will post the problem through an image. I hope that is okay.
Here is my problem:
I do not know where to start or perhaps I could not wrap around my head in this problem. I tried thinking of ways but I really can't and I am stumped. Our current and past lessons were Inverse Trigonometric Functions and Powers of Sine, Cosine, Tangents (Integrals, of course). I even tried Integration by parts but I still can't start how. So, this is my last resort.
Please help
I see, I'm just not accustomed to that kind of substitution. Trigonometric substitution was taught in a different way in what I saw in your post.
If in substitution, shouldn't it be
or you can substitute anything?
I got the first part by the way and thanks for that, the second part is a little bit hazy and I really want to learn more.
If I have followed my formula, I would've ended with this:
I really appreciate your shortcut but I really need the longer method if that's alright. I really want to understand this better in order for me to teach it to my classmates as well.
Where do I go from here?
I'm going to sound a total newbie but... is this correct?
EQUATION ERASED. WRONG EQUATION.
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Oh crap, I just forgot factoring. =_=
Still sorting it out.