HSC 2015 MX2 Integration Marathon (archive) (2 Viewers)

Status
Not open for further replies.

Sy123

This too shall pass
Joined
Nov 6, 2011
Messages
3,730
Gender
Male
HSC
2013
Here post integrals for helping 2015 students with integration!

Do not post a question until the last one is answered

Do not post in the other thread because that is locked

-------------

 
Last edited:

Sy123

This too shall pass
Joined
Nov 6, 2011
Messages
3,730
Gender
Male
HSC
2013
Re: MX2 2015 Integration Marathon

 

Sy123

This too shall pass
Joined
Nov 6, 2011
Messages
3,730
Gender
Male
HSC
2013
Re: MX2 2015 Integration Marathon

 

InteGrand

Well-Known Member
Joined
Dec 11, 2014
Messages
6,109
Gender
Male
HSC
N/A
Re: MX2 2015 Integration Marathon



One the one hand,




On the other hand, multiplying the numerator and denominator of the integrand of the original integral by cot4 x gives



Therefore,





 
Last edited:

FrankXie

Active Member
Joined
Oct 17, 2014
Messages
330
Location
Parramatta, NSW
Gender
Male
HSC
N/A
Uni Grad
2004
Re: MX2 2015 Integration Marathon

lol a 100% magic done by substitution. anyone can find a way to play this magic:

 

Sy123

This too shall pass
Joined
Nov 6, 2011
Messages
3,730
Gender
Male
HSC
2013
Re: MX2 2015 Integration Marathon

lol a 100% magic done by substitution. anyone can find a way to play this magic:

Do you mean a substitution that does it all in one go?

The only thing I can think of at the moment is:







Where the dots are a tan inverse integral which is easy to compute

Is that what you were looking for?
 
Status
Not open for further replies.

Users Who Are Viewing This Thread (Users: 0, Guests: 2)

Top