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wait but how do you even know that god had a dick

Yeah, you shouldn't force your religious beliefs onto others and extremist acts in the name of religion should definitely be condemned. That being said, I don't think it's fair to point out what extremist Muslims do and then generalise this to the entire group because most Muslims are good...

Personally, I think the problem isn't that they exist - any competent adult is free to do whatever they like if it doesn't harm others. What Trump would do though is prevent these ideologies that people may regard as "weird" from being shoved down your throat and help stop things that a minority...

try it out and if you don't like it u can quickly drop

i don't

he's talking abt someone else

wassup @NoctNight

ye he's ass bro

but ye my teacher said such questions aren't likely to come up in hsc cos could be controversial

eh i have seen such questions in trials (killara iirc) and have been called out for using it by other ppl LOL

expanding on this, would just say that such a method just isn't rigourous but if there are applicable qs in the hsc u would use it cos they don't rlly care abt this stuff.

not too sure abt this either, but i think it probably just isn't properly defined yet?

I was arguing that the answers u obtain using these methods aren't the same function because of the inherent restriction u put on certain values, which can cause problems such as what u pointed out in evaluating definite integrals. I am also fully aware of the trick, in fact I've used it before...

What I mean is just because the original integrand is undefined doesn't mean the primitive is also undefined at that point. This is because the primitive could have a vertical tangent at the point where the original function is undefined (e.g. 1/sqrt(1-x^2) is undefined at x = +-1 yet it's...

this is irrelevant since the original function being undefined at a point doesn't mean it's primitive is also undefined, eg f(x) = 1/(sqrt(1-x^2)). In this case the manipulation works (I think) and the results end up being the same due to how we define trig functions most likely, but as a...

i agree i did make a silly mistake

nice, i was intending for it to be done by sqrt(tanx) = 1/2 (sqrttanx + sqrtcotx + sqrttanx - sqrtcotx) tho

but when u divide both sides by u^2, a problem is gonna be created when u = 0 so the answers are not actually the same

Now for a follow up question: hence or otherwise integrate sqrt(tanx):)

haven't asked them yet (except in the sample paper) so they could realistically ask them but it'll be at most 1 question in the paper