Calculus

[Mil0]

Just when the teacher comes to check your homework be like, See i woulda done it but then it hit me I didnt want to do it and id hate to punish my self like that, she'll just call your house and you can handle that with the simple SHUT THE FUUront door

[jcpiaya]

If you follow the simple formula for integration by parts, shown

http://en.wikipedia.org/wiki/Integration_by_parts

You should not use ln(x) as your v because the problem becomes increasingly difficult if you try to integrate ln(x)

By setting your problem with:

u=ln(x)
du=1/x

v=x^5/5
dv=x^4

The problem becomes much easier.

If you want to solve the problem on your own, don't look further.

ln(x)(x^5/5)- integral((x^5/5)(1/x)dx)

ln(x)*(x^5/5)-(x^5/25)

now to check your answer, we use derivative on this and see if you get the original answer.

Since the first portion follows the multiplication rule.

=(1/x)(x^5/5)+ln(x)(x^4)-(x^4/5)
=(x^4/5)-(x^4/5)+ln(x)(x^4)
=ln(x)(x^4)

Hint for the second problem:

Notice that the derivative of ln(x) is 1/x
Notice that the ln(x) is being "powered"

We can justify using substitution rule for this problem.

by setting
u=ln(x), we get
du=1/x

That should be more than enough information so solve the problem.

[Syetactic]

I was going to take that in grade 12...

-goes and changes schedule-

[AbysmalGuilt]

I was going to take that in grade 12...

-goes and changes schedule-

Yeah, this is actually the first year that I don't catch right on to everything we're doing. I'm usually like top of my class, now I'm like on the bottom. Next to my bad attendance. Darn AP Calculus Good thing I dont NEED it, still gonna try to pass that AP Exam, one way or another.
Thanks for all of the suggestions.

[Raiyne]

I'm gonna learn that sometime this year.

[Jerov]

np, and if you're lucky (depending on your major) you should only have to go up to Calc 2, where you'll meet the wonderful world of matrices and how to manipulate them. Here's an example of a problem where solving with matrices helps

Solve the series of equations:

x + 2y + 3z = 3

2x + y + z = 2

3x + 2y + 2z = 5

Edit: upon retrospect, you could solve this problem with algebra, but when you do all the substitution, it looks hideous, hence why matrix work is better

[ncyphe]

The sad part is that Integration is society is everywhere. I have to pretty much use it in 50% of my Physics equations.

Integrate a graphical equation utilizing the area of a circle and you can magically determine the volume of a graph rotated about an axis. Fun and complicated stuff.



Just wait till you get to mixture/flow rate problems, those are Hell.

Note: I barely passed Calc II with a C. I could have passed with a D, but believe me, you don't want a D on you transcript.

[hobosexual]

I'm taking Pre Calculus right now. It sucks ass, even though I'm getting a B in there I absolutely hate it. I think i'm just gonna take ****ing business math next year...

[Mr. First Name Basis]

Just when the teacher comes to check your homework be like, See i woulda done it but then it hit me I didnt want to do it and id hate to punish my self like that, she'll just call your house and you can handle that with the simple SHUT THE FUUront door

Yeah. your cool....

There's this new trend going around that's called going somewhere in life. You should try it.

Sorry haven't taken Calculus yet but my sis is so I know a little bit about derivatives (sp?) but yeah that's pretty much it. I'm not really sure how to integrate so yea... I'm taking Calc next year.. taking Pre Calc now.