Login

Search the forums now!

Welcome, Guest. Please login or register.

March 03, 2026, 10:06:09 pm
Pages: [1] 2   Go Down

Author Topic: trig integration extension  (Read 3222 times)  Share 

0 Members and 1 Guest are viewing this topic.

Martoman

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1476
  • Respect: +11
trig integration extension
« on: May 09, 2010, 09:28:19 pm »
0
So I was thinking for a bit and what would happen if we had say integral of ? Would you simply use a variation of a compound angle formula to just crunch it down to just sines?

Is this beyond the scope of the course?
Logged
2009: Math methods: 50, Psychology: 44
2010: chem 47, further 48, Spesh 49 fml seriously and other yr 11 subs.
2011: Holidaying, screw school.
No. Not azn.
___________________________________
Swedish meal time all the time

darkphoenix

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1564
  • Respect: +3
Re: trig integration extension
« Reply #1 on: May 09, 2010, 09:49:57 pm »
0
Yeah i was about to ask a similar question, how would i go about integrating:
Logged
2009: Accounting
2010: English | Methods (CAS) | Specialist Maths | Chemistry | Chinese SL
2011: Bachelor of Commerce/Engineering @ Monash

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: trig integration extension
« Reply #2 on: May 09, 2010, 09:51:19 pm »
0


Similar idea for dark phoenix
Logged
PhD @ MIT (Economics).

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

Martoman

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1476
  • Respect: +11
Re: trig integration extension
« Reply #3 on: May 09, 2010, 09:52:54 pm »
0
Yeah, this is what I was referring to. Is this above and beyond what we are meant to know?
Logged
2009: Math methods: 50, Psychology: 44
2010: chem 47, further 48, Spesh 49 fml seriously and other yr 11 subs.
2011: Holidaying, screw school.
No. Not azn.
___________________________________
Swedish meal time all the time

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: trig integration extension
« Reply #4 on: May 09, 2010, 09:54:01 pm »
0
no... it's well within the spesh course, its just 2 compound angle formulas mixed into one.
Logged
PhD @ MIT (Economics).

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

Martoman

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1476
  • Respect: +11
Re: trig integration extension
« Reply #5 on: May 09, 2010, 09:58:11 pm »
0
I'm asking as a left field exam 1 question. We would just happen to know this?
Logged
2009: Math methods: 50, Psychology: 44
2010: chem 47, further 48, Spesh 49 fml seriously and other yr 11 subs.
2011: Holidaying, screw school.
No. Not azn.
___________________________________
Swedish meal time all the time

darkphoenix

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1564
  • Respect: +3
Re: trig integration extension
« Reply #6 on: May 09, 2010, 09:59:52 pm »
0
Wow um sorry to sound noob but can you explain how you got it? thanks
Logged
2009: Accounting
2010: English | Methods (CAS) | Specialist Maths | Chemistry | Chinese SL
2011: Bachelor of Commerce/Engineering @ Monash

Martoman

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1476
  • Respect: +11
Re: trig integration extension
« Reply #7 on: May 09, 2010, 10:23:31 pm »
0
Fairly trivially.




Adding equations.


So

Integrate both sides.

Lol this was the first thing I thought of after learning trig integration :S
Logged
2009: Math methods: 50, Psychology: 44
2010: chem 47, further 48, Spesh 49 fml seriously and other yr 11 subs.
2011: Holidaying, screw school.
No. Not azn.
___________________________________
Swedish meal time all the time

darkphoenix

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1564
  • Respect: +3
Re: trig integration extension
« Reply #8 on: May 09, 2010, 10:27:55 pm »
0
Ahh alrite cool thanks :)
Logged
2009: Accounting
2010: English | Methods (CAS) | Specialist Maths | Chemistry | Chinese SL
2011: Bachelor of Commerce/Engineering @ Monash

Mao

  • CH41RMN
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 9181
  • Respect: +390
  • School: Kambrya College
  • School Grad Year: 2008
Re: trig integration extension
« Reply #9 on: May 10, 2010, 01:00:44 am »
0
No, this is not in the specialist course, but you should be aware of it, it doesn't hurt.
Logged
Editor for ATARNotes Chemistry study guides.

VCE 2008 | Monash BSc (Chem., Appl. Math.) 2009-2011 | UoM BScHon (Chem.) 2012 | UoM PhD (Chem.) 2013-2015

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: trig integration extension
« Reply #10 on: May 10, 2010, 01:02:10 am »
0
Quote from: Martoman on May 09, 2010, 10:23:31 pm
Fairly trivially.




Adding equations.


So

Integrate both sides.

Lol this was the first thing I thought of after learning trig integration :S
yup just 2 trivial compound equations added together, definitely in spesh you need to have a good understanding of all the trig equations
Logged
PhD @ MIT (Economics).

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

/0

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4124
  • Respect: +45
Re: trig integration extension
« Reply #11 on: May 10, 2010, 04:49:11 am »
0
A lot of maths is in spesh. You could say integration by parts is in spesh, since it is just an application of the product rule.
But they won't expect you to take that kind of a leap in an exam situation, not unless the question is preceded by other steps which helped you derive the identity (or if Kilbaha is writing the exam)

I mean like, there are a limited 'types' of questions they can ask you on the exam. Integrating (for well-behaved n,m) is a question they're allowed to ask you. They can't ask you to do with no warning, because it's not standard. While it might separate the Martomans from the chaff, it is still a 'technique' which some will have learnt and others won't have, which is unfair. VCE is designed to be just practice, repetition, etc.
« Last Edit: May 10, 2010, 05:49:44 am by /0 »
Logged

Martoman

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1476
  • Respect: +11
Re: trig integration extension
« Reply #12 on: May 10, 2010, 05:23:50 pm »
0
Quote from: /0 on May 10, 2010, 04:49:11 am
...Martomans from the chaff...

Oh, you're just too nice... :D :D :D



VCE isn't fair. Look at exam 1 last year methods. That was all algebra... no graphing. How was that fair to prolific grapher's with a bad sense for algebra? How was last year's english exam fair with no directive (persona, whatever in the exam) when the whole year people were stressing and practicing for it because VCAA, the previous year, said it would be on the '09 paper?
Or simply, look at last years Chem mid year. That was terrible.
Logged
2009: Math methods: 50, Psychology: 44
2010: chem 47, further 48, Spesh 49 fml seriously and other yr 11 subs.
2011: Holidaying, screw school.
No. Not azn.
___________________________________
Swedish meal time all the time

kamil9876

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1943
  • Respect: +109
Re: trig integration extension
« Reply #13 on: May 10, 2010, 05:42:55 pm »
0
Complex Numbers is in spec, Calculus is in spec, Trigonometry is in spec => Fourier Series is in Spec

Multiplication is in grade 4 => Prime Number Theorem is in grade 4.
Logged
Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

Martoman

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1476
  • Respect: +11
Re: trig integration extension
« Reply #14 on: May 10, 2010, 07:31:23 pm »
0
Although I want to support you kamil, given spec kids are competent this isn't as much a stretch as you make out your year 4 reference to be.

Farrrrkin funny tho :)
Logged
2009: Math methods: 50, Psychology: 44
2010: chem 47, further 48, Spesh 49 fml seriously and other yr 11 subs.
2011: Holidaying, screw school.
No. Not azn.
___________________________________
Swedish meal time all the time
Pages: [1] 2   Go Up