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Re: MX2 2016 Integration Marathon $ First take note that: $ \int_0^{Paradoxica}{f(x)}dx=\int_0^{paradoxica}{f((paradoxica)-x)}dx I= \int_0^{\frac{\pi}{2}}{\frac{cos^ax}{sin^ax+cos^ax}}dx I= \int_0^{\frac{\pi}{2}}{\frac{sin^ax}{sin^ax+cos^ax}}dx 2I=...

Re: MX2 2016 Integration Marathon Really? ^ I= \int{\frac{1-sinx}{cos^2x}}dx I= \int{ sec^2x -tanxsecx} dx I=tanx -secx +C

Just came back from Japan, Tanzenia, Malawi, Kenya and Turkey. Not really... Didn't see a good one at all LOL. I saw one there in a shopping centre it was pretty big but didn't buy anything expensive af... But you can find stores like it in Australia. You want to go to the theme park right...

Re: Extracurricular Integration Marathon I feel like this thread should of been made about 9 months later when we (2015'ers) know what were doing.

You've always claimed it to be BS but never gave your opinion on why? If you did don't roast me I didn't see.

I think his job is just to piss people off :P

Re: MX2 2016 Integration Marathon 3. $ This is just the working out used in (i) to get the final integral...? $ $ Let $ u^2=x^3-1 \frac{2}{3} \int{\frac{(u^2\pm 1)du}{u^2+1}}

Re: MX2 2016 Integration Marathon 2. $ This is just Integrand's question but inversed, do the same process. $

Re: MX2 2016 Integration Marathon 1. \int{\frac{xlnx}{\sqrt{x^2-1}}}dx $ Using IBP with $ u=lnx $ and $ dv=\frac{x}{\sqrt{x^2-1}} I=ln(x)\sqrt{x^2-1} - \int{\frac{\sqrt{x^2-1}}{x}}dx $ Let $ u^2=x^2-1 I= ln(x)\sqrt{x^2-1} -\sqrt{x^2-1} +tan^{-1}(\sqrt{x^2-1}) +C

Re: MX2 2016 Integration Marathon Hsc be like: \int{cotx}dx

Re: HSC 2016 4U Marathon are you sure it can even have a maximum value? Its a min parabola ?

Re: HSC 2016 4U Marathon Is the answer |z|=1 btw ?

Re: MX2 2016 Integration Marathon Im guessing $ Let $ u=x+1 I=\int_1^2{(\frac{2-u^2}{u})^{2014}}du $ Using binomial theorem : $ I= \int_1^2(\sum_{k=0}^{2014}(2^k \cdot (-1)^k \cdot x^{2014-k} \cdot \binom{2014}{k}))dx $ Then integrate each term and find a formula then...

Re: HSC 2016 4U Marathon Triangle inequality.

Bro there was so much dumb shit that happened over the past 3 weeks ahahahah...

*Gada1 getting the results* "OMG I GOT 97 IN ENGLISH!!!!!!!!!!" *Accidentally deletes the message and can't view the rest of his results for 2 hours*

A girl in my school state ranked pdh but I doubt she'd be able to go on BOS :/

legit took me 2 seconds to find you

Re: MX2 2016 Integration Marathon Yes, I think making the substitution makes it easier to see.

I think we all have him on fb but none of us have each other ahah.