ATAR Notes: Forum

VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: wildareal on July 12, 2010, 01:43:36 pm

Title: Anti-Diff by Recognition
Post by: wildareal on July 12, 2010, 01:43:36 pm
Hi There,

Find the derivative of f(x)=xe^(-x) and hence find the integral of xe^(-x).

Thanks
Title: Re: Anti-Diff by Recognition
Post by: brightsky on July 12, 2010, 01:52:35 pm


Integrate both sides:



As :





Title: Re: Anti-Diff by Recognition
Post by: TrueTears on July 12, 2010, 01:55:11 pm
although its not part of the question, i suggest you have a look at http://en.wikipedia.org/wiki/Integration_by_parts - very easy to understand and easily approachable by methods students who understand the product rule, this can enhance your understanding of why "antidiff by recognition" works, rather than mindlessly applying it.
Title: Re: Anti-Diff by Recognition
Post by: 98.40_for_sure on July 12, 2010, 02:38:23 pm
How do you type in "maths language" on VN? like brightsky's post
Title: Re: Anti-Diff by Recognition
Post by: shinny on July 12, 2010, 02:46:29 pm
How do you type in "maths language" on VN? like brightsky's post

Check here. There's a bit of a learning curve to it though, but it's worth learning if you're expecting to post lots of questions on the maths board.
Title: Re: Anti-Diff by Recognition
Post by: the.watchman on July 12, 2010, 03:59:11 pm
Also, http://vcenotes.com/viki/index.php/Help:LaTeX is quite good for a comprehensive list of codes :)
Title: Re: Anti-Diff by Recognition
Post by: tram on July 12, 2010, 04:09:34 pm
out of intrest, how long did it take you guys to get used to latex? i know that i tried once, i failed miserably, and from then on have never used latex again.....
Title: Re: Anti-Diff by Recognition
Post by: the.watchman on July 12, 2010, 04:19:17 pm
out of intrest, how long did it take you guys to get used to latex? i know that i tried once, i failed miserably, and from then on have never used latex again.....

It doesn't actually take too long :)
I learnt the basics over a week or so, and have been refining it ever since :)
Title: Re: Anti-Diff by Recognition
Post by: tram on July 12, 2010, 04:22:06 pm
mmmmm ok i will TRY and start practicing.....is latex used in any other programs? i.e will i be able to use the same codes in other programs or will this reli only be useful for vn?
Title: Re: Anti-Diff by Recognition
Post by: the.watchman on July 12, 2010, 04:22:55 pm
mmmmm ok i will TRY and start practicing.....is latex used in any other programs? i.e will i be able to use the same codes in other programs or will this reli only be useful for vn?

LaTeX can be used with programs for creating documents like tests etc. :)
Title: Re: Anti-Diff by Recognition
Post by: brightsky on July 12, 2010, 05:06:49 pm
Hehe, I still fail at making cases and matrices... ;D
Title: Re: Anti-Diff by Recognition
Post by: the.watchman on July 12, 2010, 05:17:37 pm
Hehe, I still fail at making cases and matrices... ;D

Lol, same! :P
Title: Re: Anti-Diff by Recognition
Post by: TrueTears on July 12, 2010, 05:33:05 pm
How do you type in "maths language" on VN? like brightsky's post
mmmmm ok i will TRY and start practicing.....is latex used in any other programs? i.e will i be able to use the same codes in other programs or will this reli only be useful for vn?

for both, seriously, latex is a great skill to have, it is the standard program to type up science documents and also in uni the very first project we had, we had to type up our work, for those that already knew how to use latex, it was a breeze.

personally, ive typed up every single uni maths assignment with latex (using texnic centre), looks pr0 and easy to use.
Title: Re: Anti-Diff by Recognition
Post by: Cthulhu on July 12, 2010, 05:48:54 pm
How do you type in "maths language" on VN? like brightsky's post
mmmmm ok i will TRY and start practicing.....is latex used in any other programs? i.e will i be able to use the same codes in other programs or will this reli only be useful for vn?

for both, seriously, latex is a great skill to have, it is the standard program to type up science documents and also in uni the very first project we had, we had to type up our work, for those that already knew how to use latex, it was a breeze.

personally, ive typed up every single uni maths assignment with latex (using texnic centre), looks pr0 and easy to use.
Every assignment I had handed in this year was "Nice use of LaTeX". Not even kidding.
Texnic Centre is the bomb. It's so pro for writing up lab reports or technincal rubbish because its so flexible(like your mum)
Title: Re: Anti-Diff by Recognition
Post by: TrueTears on July 12, 2010, 05:54:28 pm
How do you type in "maths language" on VN? like brightsky's post
mmmmm ok i will TRY and start practicing.....is latex used in any other programs? i.e will i be able to use the same codes in other programs or will this reli only be useful for vn?

for both, seriously, latex is a great skill to have, it is the standard program to type up science documents and also in uni the very first project we had, we had to type up our work, for those that already knew how to use latex, it was a breeze.

personally, ive typed up every single uni maths assignment with latex (using texnic centre), looks pr0 and easy to use.
Every assignment I had handed in this year was "Nice use of LaTeX". Not even kidding.
Texnic Centre is the bomb. It's so pro for writing up lab reports or technincal rubbish because its so flexible(like your mum)
bahahahaha, i rmb earlier this year i had to email an assignment to leo brewin, he replies with "excellent use of latex"
Title: Re: Anti-Diff by Recognition
Post by: tram on July 12, 2010, 06:43:06 pm
wait, so how do i get the program that allows me to like use it in word documents/not just in VN, is it an actual program?
Title: Re: Anti-Diff by Recognition
Post by: TrueTears on July 12, 2010, 06:54:49 pm
ye texnic centre
Title: Re: Anti-Diff by Recognition
Post by: tram on July 12, 2010, 07:25:55 pm
hmmmmm, ok, you know where you get that program?
Title: Re: Anti-Diff by Recognition
Post by: superflya on July 12, 2010, 07:27:20 pm
http://www.texniccenter.org/resources/downloads/29
Title: Re: Anti-Diff by Recognition
Post by: tram on July 12, 2010, 07:33:42 pm
cheers :)
Title: Re: Anti-Diff by Recognition
Post by: Cthulhu on July 12, 2010, 07:41:42 pm
http://en.wikibooks.org/wiki/LaTeX for a nice introduction
Title: Re: Anti-Diff by Recognition
Post by: TrueTears on July 12, 2010, 07:46:45 pm
yes, you need to also get mictex (i think thats the name?) as a plugin before using texnic centre.
Title: Re: Anti-Diff by Recognition
Post by: wildareal on July 13, 2010, 05:30:29 pm
thanks TT and Co. great article. will get onto the latex! :)
Title: Re: Anti-Diff by Recognition
Post by: Aqualim on July 13, 2010, 06:15:09 pm
Or if you lazy like me and don't want to learn all the coding used in Latex, you can always just write it up on here:
http://latex.codecogs.com/editor.php

Then its just a matter of Ctrl + C and Ctrl + V
Title: Re: Anti-Diff by Recognition
Post by: Cthulhu on July 13, 2010, 06:33:42 pm
Or if you lazy like me and don't want to learn all the coding used in Latex, you can always just write it up on here:
http://latex.codecogs.com/editor.php

Then its just a matter of Ctrl + C and Ctrl + V
Most academic journals want their papers submitted in a readable format and is the "industry standard". So its a good thing to know if you plan on going into scientific research and everyone knows the more papers you publish the bigger your e-penis is.