Math Is Fun Forum

Try u substitution when you get hung up on something like that:

Therefor

Imtegration by parts is:

So we will say the following:

From there we can say that:

Thus

All I did there was plug and go

Now we can integrate:

plugging in some more:

You can probally siplify from there.

Yeah, thanks! it all makes sense now. Except for that initial theorm.

I noticed that when I wrote it, but I went ahead and wrote it wrong anyways because I thought associating the square with the twice and the cube with the thrice was a godd way to conceptialize it.

I hope I didn't just make things worse.

Therefore

Well, suppose you want to add a number over and over a bunch of times, like:

2+2+2+2+2+2+2+2

we ca re-write that as:

2*8=16

Now that's much easier. Well, that's multiplication, addition over and over again. Now say we want to multiply over and over again:

3*3*3*3

we write that as:

So, if (5+5) is (2*5) we can say (5*5) is (5²)

So a number, x raised to a power, n is just x times itself n times and is written as:

so x² = x*x

I hope maybe that helps.

Have you read that thread? Daniel123's explanation is really good.

y² is read "y squared"

Interestingly enough there is a thread on that right here

I think I read on wikipeida that it diverges, not that they're a respectable source... 

EDIT: It does in fact say that, I still don't know how to prove it.

I think I too like "pure maths." I liked calc, but only the mathematical parts, not the application.

I do know integration by parts, is integration around the axis when you have a curve spun around the axis and you have to find the volume of the solid it generates? If so, the I know that as well.

So I guess that means that I'm ready for "multi variable calculus." I have the very (very) basics of linear algebra down (up to and including inverse matrices), but I guess I could keep going in that.

What books (or websites) would you recommend to get me started on multi variable calc?

Oh, I love stuff like this. What's this technically called, Analysis? I think I covered a little of it in Calculus, but not as much.

Come to think of it, does anyone have any good book recommendations on infinite series?

In essence, you're going to add -1 over and over again k times. Thus -1-1-1 = -3 and -1-1-1...-1-1 = -k

I didn't mean to steal that answer from anyone, I just got exited that I knew it.