You are right down too , but then I don't know what you're doing.
Some big no-nos. Do not generally mix up x and u. There is no place to sub in the sec(x)tan(x)
Parts may be better.
But
Now, can you put it together?.
Ok, I'm having a bit of trouble with this one:
I'm guessing that I would want to use this trig identity:
which means...
So, the integral with the identity would now look like this:
Then it would be:
Now, with u sub, I would let so this means
So
Now:
Now I'm kind of stuck here, I know how to take the antiderivative of the first part, but not the part.
Any help?
Honestly, I'm still really confused, gah.
Ok so I'm right up until this...
which equals:
You said that this:
equals
So lets put that aside... now
You said that we can let which means so and then you said so
Why would you need to use u, v, and du for this question when theres only one thing to worry about... the ???
So to find this...
would it be like this with the integration by parts method...
which also equals
I'm going to try and do the rest by hand...
WAIT WAIT I THINK I GOT IT... Ok, haha...
So OVERALL
move this over to get...
Then divide both sides by 2 to get your final answer of...