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Re: MX2 Integration Marathon Sorry everyone, this question can't be done using MX2 integration techniques. You can sub u=sinx and get \int \: \frac{\sin{u}}{\sqrt{1-u^2}}du but can't do anything else :(

Re: HSC 2013 4U Marathon =ln(A)ln(B)\int dx+ ln(A)\int ln(x)dx+ln(B)\int ln(x) dx+\int (ln(x))^{2}dx =ln(A)ln(B)x+ln(A)x(ln(x)-1) +ln(B)x(ln(x)-1)+(x(lnx)^{2}-2x(lnx-1)) =ln(A)ln(B)x+ln(A)x(ln(x)-1) ln(B)x(ln(x)-1)+x((lnx)^{2}-2lnx+2)

I think the question works, but probably using a different method. I will post my solutions once I am done.

Hey Sy, could you please give me a hint on part (ii) of your binomial sum question?

It is haha

Yeah, that is why I want to get to uni asap, high school is just fucked up.

Yeah, it doesn't have to prepare student for undergrad maths but I think there are many topics other than conics that are more interesting and more useful in uni. If students know basic coordinate geometry, calculus, and algebra they can definitely do conics so it isn't really teaching you...

If by useless you mean it doesn't have applications in real life then it is not useless but I can think of better topics to study instead of it such as topics that prepare students for university maths and have more applications (linear algebra, differential equations, etc.).

Re: MX2 Integration Marathon lol

lol

I have 5 rep but my rep is still one, why is that?

Re: HSC 2013 4U Marathon $Show that$ \sum_{k=0}^{m} \frac{m!(n-k)!}{n!(m-k)!} = \frac{n+1}{n-m+1} Edit: $For$ n\geq m

Re: MX2 Integration Marathon \int \frac{(x+1)^3 (x-1)}{(x^2+1)^2 \sqrt{x^4+x^2+1}} \, dx

Re: HSC 2013 4U Marathon Working on this.

How can I get myself to study english and science? I spend like 70% of my time on maths :( I will get a terrible atar...

Re: HSC 2013 4U Marathon Nice work but I don't know how we can prove that the limit goes to 0. There is a more rigorous method to prove this, will post it sometime next week. I found this question in a book called \pi $Unleashed$.

If you are a great politician why aren't you doing comm/law at USYD or UNSW? Most good politicians went there.

Re: MX2 Integration Marathon \int \sin (\sin x) \ dx

What is so difficult about circle geometry? I know a lot of students who struggle with it but I think it is very easy. If you have done enough questions and know what to look for you can do even the most difficult questions in a few minutes.

Re: MX2 Integration Marathon Nice work. I think the other integral is very difficult (haven't done it myself though).