Re: MX2 2016 Integration Marathon
ah yes 2010 question 8 was a 15 mark integration question?
Also attempt anyone except paradoxica his insight is to good for such a crap question:
\int \frac{(x+1)^4(x-1)^2\sqrt{x^4+x^2+1}}{(x^2+1)^2(x^6-1)} dx
I've spoken about laws of the universe and laws of God before. God will not help you if you don't satisfy the laws of the universe. For example I can't ask God to win the lottery (Assuming gambling is allowed in this example) if I don't buy a lottery ticket. It's just not the way God does...
Re: HSC 2016 3U Marathon
\phi = \sqrt{1+\sqrt{1+\sqrt{1+...}}
\int{\sqrt{x+\sqrt{x+\sqrt{x+...}}}dx $ I learnt golden ratio from questions like this. $
Re: Flop math question thread
Okay so how you determine these is like this :
$ If $ 0< \theta < \frac{\pi}{2}
\sin{x} = \theta
x= \sin ^{-1}(\theta) \pm 2 \pi k $ or (using ambiguity of sin in first and second quadrant ) $ x= \pi - \sin ^{-1}(\theta) \pm 2 \pi k
Also :
“God is not a man, that He should lie,
Nor a son of man, that He should repent.
Has He said, and will He not do?
Or has He spoken, and will He not make it good?" Numbers 23:19