We should have a Integration Bee in the next VN meet up.

[paulsterio]

TT, no one stands a chance against you in number theory

[thushan]

Hmm, for b^3's qn - i like it, took me a while, needed to spend around ~10 minutes doing this :/

But what i did was integrated by parts, then sub u^2 = x^2 -1, got something manageable, integrated and got what b^3 got...that's a good question

However, at the sight of maths...I'm out.

[paulsterio]

oh come on thushan, we'd love for you to be there!

[b^3]

Hmm, for b^3's qn - i like it, took me a while, needed to spend around ~10 minutes doing this :/

But what i did was integrated by parts, then sub u^2 = x^2 -1, got something manageable, integrated and got what b^3 got...that's a good question

However, at the sight of maths...I'm out.

That actually is a better way of doing it and would make more sense, it only requires int by parts + 1 sub instead of 2 subs.

[dcc]

There should be a section on contour integration so the uni students actually have a chance.

[abd123]

There should be a section on contour integration so the uni students actually have a chance.

Thats a Good Idea .

Thanks, dcc.

[abd123]

Okay guys so whens the next VN meet up? can any uni students control this event ?

Oh and whats preferable location for everyone?
I reckon the preferable location might be University Of Melbourne, Lecture halls.

I'm a terrible organizer lol.

Help a maths brother out.

[kamil9876]

But to make things more interesting, I suggest adding differential equations and number theory to the integration-off competition.

number theory

Here's one which I think is pretty cool: Prove that for any natural numbers n and k, we can find n consecutive numbers such that for every element, there are k distinct primes which divide it, but divide no other.

That may be a bit difficult but here is a similair but simpler one: Prove that for every number in there exists a prime which divides it but divides no other.