Question

AP Calculus.

Answer 1

You know u substitution, right?
Try \(u = x + 5\) :D

Answer 2

Okay, wait, check this for me:

Answer 3

Yes, that's it!

Answer 4

Hell yeah, can you help me with a few more bud?

Answer 5

Probably. I was just doing this kind of stuff so it is fresh in my mind.

Answer 6

Okay, hold on.

Answer 7

You can type math right into this site, you know.
Do you see the little \(\Sigma\) Equation button?

Answer 8

Yeah.

Answer 9

(You can also type LaTeX in directly, if you happen to know how to do that)

Answer 10

Nope, not a clue. I am quite new to this website.

Answer 11

That is my answer. ^

Answer 12

Well, personally, I'd rewrite it as
\[3\int \frac{1}{x^2 + 2^2} dx\]
And then I'd go dig through a table of integrals for \(\int \frac{1}{x^2 + a^2} dx\)
There may be some elegant solution I overlooked.

Answer 13

Ok, so that's what you did, too.

Answer 14

Yeah, I know what to do, I just need reassurance.

Answer 15

You are doing well so far!

Answer 16

Thank you so much.

Answer 17

You can also use www.wolframalpha.com to check your answers, although it occasionally makes you scratch your head with the weird way it chooses to format them.

Answer 18

Oh, okay, thank you.

Answer 19

It agrees also.
http://www.wolframalpha.com/input/?i=integrate+3%2F%28x^2+%2B+4%29

Answer 20

This one is also on on the table I'm using, although it's also pretty easy to do with a u substitution.

Answer 21

http://integral-table.com/ is another handy site to have open when you're doing calculus.

Answer 22

Here is my other answer. :P

Answer 23

The bottom attachment is the first part.

Answer 24

Yes, it's right.

Answer 25

Okay, yay, I only have 2 more problems, the rest I will do on my own. :)

Answer 26

And my answer is:

Answer 27

That one is right assuming you did the polynomial division right which I am terrible at.

Answer 28

Okay, cool. Yeah, I stayed for tutoring, it was giving me a lot of crap. So anyway, last problem.

Answer 29

This one I am really unsure because my instructor skipped ahead.

Answer 30

I don't know about that one either.
It LOOKS right... :)

Answer 31

You have given me an interesting problem I should learn how to solve.
(That probably wasn't your intention, but thanks anyway. :D :P )

Answer 32

Well thank you for putting forth the effort, It is greatly appreciated. I shall not bother you with anymore questions. xD