Login

Search the forums now!

Welcome, Guest. Please login or register.

January 24, 2026, 04:20:25 pm
Pages: [1] 2 3   Go Down

Author Topic: Integration Cases  (Read 3398 times)  Share 

0 Members and 1 Guest are viewing this topic.

kenhung123

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 3373
  • Respect: +7
Integration Cases
« on: June 29, 2010, 05:48:25 pm »
0
Do we need to know any integration cases other than , , , and ?

Personally I learnt just in case but wondering would it be better if a I learn more for other functions also.

Thanks in advance
Logged

brightsky

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 3136
  • Respect: +200
Re: Integration Cases
« Reply #1 on: June 29, 2010, 06:03:06 pm »
0
Nup, don't think so. But it's always good/fun to learn a few more cases. :p
Logged
2020 - 2021: Master of Public Health, The University of Sydney
2017 - 2020: Doctor of Medicine, The University of Melbourne
2014 - 2016: Bachelor of Biomedicine, The University of Melbourne
2013 ATAR: 99.95

Currently selling copies of the VCE Chinese Exam Revision Book and UMEP Maths Exam Revision Book, and accepting students for Maths Methods and Specialist Maths Tutoring in 2020!

Ilovemathsmeth

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1370
  • Respect: +7
Re: Integration Cases
« Reply #2 on: July 01, 2010, 09:38:05 pm »
0
Nope, no more than what you said above. However I do advise practicing integration by recognition as that is a very useful technique.

brightsky, I agree with you, other cases are fun :)
Logged
Raw Scores:
Psychology 50 | Mathematical Methods 49 | Further Mathematics 49 | Accounting 49 | Chemistry 44 | English 43
ATAR: 99.75

TyErd

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1024
  • Respect: +1
Re: Integration Cases
« Reply #3 on: July 01, 2010, 10:01:49 pm »
0
Whats integration by recognition?
Logged
"Don’t ever let somebody tell you you can’t do something, not even me.  Alright?  You got a dream, you gotta protect it.  People can’t do something themselves, they wanna tell you you can’t do it.  If you want something, go get it, period." - Chris Gardner

Ilovemathsmeth

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1370
  • Respect: +7
Re: Integration Cases
« Reply #4 on: July 01, 2010, 11:30:22 pm »
0
That's when you are asked to differentiate a function and then find an antiderivative for something that looks very similar to the original function, maybe there is a coefficient difference or a constant difference or some other function difference that is easy to integrate.

E.g. differentiate xsin(x)

That gives: xcos(x) + sin(x).

Then find an antiderivative for 2xcos(x) + 2sin(x).
Logged
Raw Scores:
Psychology 50 | Mathematical Methods 49 | Further Mathematics 49 | Accounting 49 | Chemistry 44 | English 43
ATAR: 99.75

TyErd

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1024
  • Respect: +1
Re: Integration Cases
« Reply #5 on: July 01, 2010, 11:51:31 pm »
0
Ohh yeah i did a couple of those today, thnx for clearing that up
Logged
"Don’t ever let somebody tell you you can’t do something, not even me.  Alright?  You got a dream, you gotta protect it.  People can’t do something themselves, they wanna tell you you can’t do it.  If you want something, go get it, period." - Chris Gardner

m@tty

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4324
  • Respect: +33
  • School: Heatherton Christian College
  • School Grad Year: 2010
Re: Integration Cases
« Reply #6 on: July 02, 2010, 12:12:56 am »
0
Or, find the derivative of and hence anti differentiate .

That is a nice one to remember.
Logged
2009/2010: Mathematical Methods(non-CAS) ; Business Management | English ; Literature - Physics ; Chemistry - Specialist Mathematics ; MUEP Maths

96.85

2011-2015: Bachelor of Aerospace Engineering and Bachelor of Science, Monash University

2015-____: To infinity and beyond.

TyErd

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1024
  • Respect: +1
Re: Integration Cases
« Reply #7 on: July 02, 2010, 11:30:19 am »
0
is the answer to the above problem this:

Logged
"Don’t ever let somebody tell you you can’t do something, not even me.  Alright?  You got a dream, you gotta protect it.  People can’t do something themselves, they wanna tell you you can’t do it.  If you want something, go get it, period." - Chris Gardner

the.watchman

  • Victorian
  • ATAR Notes Superstar
  • ******
  • Posts: 2526
  • Respect: +10
Re: Integration Cases
« Reply #8 on: July 02, 2010, 11:35:18 am »
0
Quote from: TyErd on July 02, 2010, 11:30:19 am
is the answer to the above problem this:



Yes, but you should write it as :P
Logged
Remember, remember the 5th of November

2010 - MM CAS (47) - Cisco 1+2 (pass :P)
2011 - Eng - Phys - Chem - Spesh - Latin - UMAT
ATAR - 99.00+ plz... :)

Feel free to PM me for anything :D

kenhung123

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 3373
  • Respect: +7
Re: Integration Cases
« Reply #9 on: July 02, 2010, 11:35:37 am »
0
yea but you can simplify the integral of 1 to x
Logged

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: Integration Cases
« Reply #10 on: July 02, 2010, 11:39:46 am »
0
Quote from: TyErd on July 01, 2010, 10:01:49 pm
Whats integration by recognition?
basically integration by parts in disguise.
Logged
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

TyErd

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1024
  • Respect: +1
Re: Integration Cases
« Reply #11 on: July 02, 2010, 12:04:21 pm »
0
okay thanks for that
Logged
"Don’t ever let somebody tell you you can’t do something, not even me.  Alright?  You got a dream, you gotta protect it.  People can’t do something themselves, they wanna tell you you can’t do it.  If you want something, go get it, period." - Chris Gardner

kenhung123

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 3373
  • Respect: +7
Re: Integration Cases
« Reply #12 on: July 02, 2010, 12:12:02 pm »
0
lol is that sarcasm? :P
Logged

the.watchman

  • Victorian
  • ATAR Notes Superstar
  • ******
  • Posts: 2526
  • Respect: +10
Re: Integration Cases
« Reply #13 on: July 02, 2010, 12:13:32 pm »
0
Quote from: TyErd on July 02, 2010, 12:04:21 pm
okay thanks for that

Oh, and , my friend :P
Logged
Remember, remember the 5th of November

2010 - MM CAS (47) - Cisco 1+2 (pass :P)
2011 - Eng - Phys - Chem - Spesh - Latin - UMAT
ATAR - 99.00+ plz... :)

Feel free to PM me for anything :D

TyErd

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1024
  • Respect: +1
Re: Integration Cases
« Reply #14 on: July 02, 2010, 12:19:12 pm »
0
oh yeaah I always forget that thankyou!  Nah wasn't sarcasm kenhung123 lol
Logged
"Don’t ever let somebody tell you you can’t do something, not even me.  Alright?  You got a dream, you gotta protect it.  People can’t do something themselves, they wanna tell you you can’t do it.  If you want something, go get it, period." - Chris Gardner
Pages: [1] 2 3   Go Up