Search results

This is extension 2 so don't worry haha.

Yep I wanted to showcase the 'reverse product rule,' \int\sin^{99}(x)\sin(101x)dx =\int\sin^{99}(x)\sin(100x+x)dx \int\sin^{99}(x) \sin(100x) \cos{x}+\sin^{100}(x)\cos(100x) dx \text{Now notice how:}\quad\frac{d}{dx}\sin^{100}(x)=100\sin^{99}(x)\cos{x}...

My bad I remembered it wrong.

Also try this integral from the MIT integration bee: \int\sin^{99}(x)\sin(101x)dx

Yup thats where I got that technique from. For anyone interested, the integral is: \int\frac{\ln x}{(1+\ln x)^2} dx

It didn't load for me as well but looking at what @idkkdi said it seems like we convert it to sec and tan, but then wouldn't x=\cos{\theta} be better heres my working: dx=-\sin\theta d\theta \therefore I=-\int{\frac{\cos^6{\theta}\sin\theta}{(1+\cos{\theta})^8} dx...

Nice that covers everything, except sum to product ironically wasn't part of the old syllabus but is part of the new syllabus.

Ah right forgot abt locus of parabola. Poly is still a thing for 4u I think, just indirectly.

Circle geo, angle between lines, ratio division of a line (idk the proper name)for 3U Conics,volumes, for 4U

His doing you a favour, the type of content that your teacher is looking for is more academic and less practical, whereas the Civil Engineer in this post probably has more specialised and practical knowledge of bridges which wouldn't really score that well in an assignment.

Physics projectile is the noob version of ext 1. You probably know more about projectile than the people who do only physics and not 3u.

Yes but really difficult to spot is to use the 'reverse quotient rule,' whenever we are integrating a rational function it;s always a good idea to keep this trick in mind. First note that 7x^6(1+x)^7-7x^7(1+x)^6=7x^6(1+x)^6(1+x-x)=7x^6(1+x)^6 So rewriting the integral...

Most of these are self-explanatory if you know the limitations of titrations. The first thing you have to note is that normal titration is usually done by eye when the solution changes colour because of an indicator, whereas conductometric titration is done with a conductometer. So all these...

A lot of medicine uses latin terminology as well

Vernburn did you get into medicine?

Guess they realised they could be making big money since almost every other 4U textbook is trash.

You can get a 99.95 for lower 4u marks as well? Try putting 80 for 4u and 98 for everything else (for eng,chem,phys,3u) in any atar calculator

Yeah I know what you mean, I have the online copy of that (as do most people), basically they decided to make it an actual textbook.

The new 4U textbook is available to the public: https://www.cambridge.edu.au/education/titles/CambridgeMATHS-Stage-6-Mathematics-Extension-2-Year-12-print-and-interactive-textbook-powered-by-Cambridge-HOTmaths/#.YAPrxOgzbic Written by the same guys and same format as the 'secret' one.