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Hello, I'm having a problem with the following proving question for integration by parts: Show that ∫cosecx.dx=ln(tan[x/2]) Thanks anyone who can help me. Cheers

I'm finishing off From Ideas to Implementation, going to Quantum to Quarks soon.

S=(u2sin22θ)/2g =(2002sin245)/(2*9.8) =1020.41m t=(2usinθ)/g =(2*200*sin45)/9.8 =28.86s Δx=(u2sin2θ)/g =(2002*sin90)/9.8 =4081.63m

Hmm, the secxtanx is on the standard integrals table, should've looked first. But I still don't know how I could get the Integrated value of secx or any other trig function involving logs. Could someone tell me if there's a 'list' of these results that we should know? Thanks

Hey Trebla, Thanks for that. Just wondering how come the integrated value of (secx.tan x) is (secx), and the integrated value of (sec x) is ln(sec x - tan x) Thanks again!

Hello, could someone please help me with the following question by the integration by parts method? Integrate[x(secx)(tanx)dx] Thanks

Season 8 Ep 1 and 2 were available for download from like a week ago.

Note that some of the answers for the Motors and Generators in Dotpoint are wrong. Not sure which ones atm, but it seems stupid as that stuff is like kiddy maths.

With (HSC level) Physics there isn't much prooving involved. Basically, you have to just have to accept the concept and apply it. I didn't lose much sleep over this TBH. It's dead easy once you get your head around it.

Is Jan Hansen a maths teacher? If so, I think he may at our school...

Any frame of reference is good as another. So say you were standing on a platform with a mirror, and a train goes past you at c. That means your velocity relative to the train is c. Will you still see your image in the mirror? Obviously you can. Therefore, if you are in the train, then your...

Thanks for that... Just wondering, how do you get the denominator? Thanks

At our school they don't make the 4U ppl do 2U papers. If someone drops out then they usually give a comparable assessment task. If they drop out late then they give an z-score based on our performance in the 3U paper.

Hello, I have one more question. Find the derivative of tan(sin-1x) Thanks for all those helping me.

Yeah... so can I always 'assume' that if the domain of the derivative exclude the equals equality sign for the given function, but is the same values?

Yes you do get a card of some sort. Note that with trains you no longer can select child and half fares. You can only select 'Student/Apprentice'.

Hello, I'm stuck on this one... Thanks to anyone who could help me. State carefully the domain and range of y=cos-1sqrt((1/4)-x2) Thanks

So is that always the case (with the domain), or can it differ?

Hello again, For the domain and range for the derivatives of inverse trig functions, I've noticed that it pretty much is the range of the original inverse function, but without the 'equals' bit in the inequality. ie, if the domain of the original trig function was -1 _< x _< 1 then the...

IMO, there isn't much theory to Ext 2 Mathematics. Well the theory isn't like 2U/3U; it's more understanding and analytical thinking. So going through the theory doesn't take long for me. What takes long is doing the questions and making sure that I can do them all. It certainly is a 'new...