• Best of luck to the class of 2024 for their HSC exams. You got this!
    Let us know your thoughts on the HSC exams here
  • YOU can help the next generation of students in the community!
    Share your trial papers and notes on our Notes & Resources page
MedVision ad

HSC 2016 MX2 Integration Marathon (archive) (1 Viewer)

Status
Not open for further replies.

Drsoccerball

Well-Known Member
Joined
May 28, 2014
Messages
3,650
Gender
Undisclosed
HSC
2015
Re: MX2 2016 Integration Marathon

I've just started integration 4u, and am looking through this read from the beginning. How do you guys do Integration by Parts so quickly? I'm sick and tired of writing u and u' and v' and v



u=... u'=...

v'=... v=...



 

RachelGreen

Member
Joined
Oct 13, 2015
Messages
84
Gender
Male
HSC
2017
Re: MX2 2016 Integration Marathon

Yeah I learnt it like that as well! Is that the only way to do it, or is there a faster way?
 

InteGrand

Well-Known Member
Joined
Dec 11, 2014
Messages
6,109
Gender
Male
HSC
N/A
Re: MX2 2016 Integration Marathon

I've just started integration 4u, and am looking through this read from the beginning. How do you guys do Integration by Parts so quickly? I'm sick and tired of writing u and u' and v' and v
 

leehuan

Well-Known Member
Joined
May 31, 2014
Messages
5,805
Gender
Male
HSC
2015
Re: MX2 2016 Integration Marathon

I've just started integration 4u, and am looking through this read from the beginning. How do you guys do Integration by Parts so quickly? I'm sick and tired of writing u and u' and v' and v

Precisely.

Nobody said you HAD to write out u and dv. It's the same as the product rule: if you can, USE it immediately
 

Paradoxica

-insert title here-
Joined
Jun 19, 2014
Messages
2,556
Location
Outside reality
Gender
Male
HSC
2016
Re: MX2 2016 Integration Marathon

How can one simply "observe" that fact... It can be done also through
Differentiate the function, re-integrate it in simpler form, then find the arbitrary constant.

Alternatively, use the tangent double angle formula on the argument.

Recall I do many things by inspection. This is one but many, many of them.
 
Status
Not open for further replies.

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top