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but isnt that involving limits and such? I mean, the exact value of tan pi/2 is undefined... or is it infinity??

crap, it is... I thought tan pi/2 was undefined, so cot pi/2 was also undefined...?? like on my calculator 1/tan(pi/2) is undefined, yet the graph of cot x says otherwise? What exactly is going on?

ok so say that is what happens when you have integrated cscx, with limiters pi/4(<)x(<)pi/2. cot(pi/2) is undefined -- so how do i do this question? Appreciate the help :)

OH SHIT lol, kept thinking of the graph of tan(x) not inverse tan(x).... :(( Thanks guys for the help FOLLOW UP QUESTION: How do you integrate csc x?

please do explain why and how you think it is pi/2... :)

Hi guys, I was doing an integration question: Q. integrate 1/{(x)[root(1+x^2)]} limits: 1(<)x(<)infinity where i used the substitution x=tanA and ended up with having to integrate cosecA.But the problem I had was changing the integral limits. I mean for x=1, obviously A=pi/4. But what on...

Re: Quick question - Faster integration methods for [sin^2 (ax)] WITHOUT substitutio ahhh i see, thanks

Hi guys, I was wondering whether there was a way to integrate functions in the form of (sin ax)^2 or (cos ax)^2 without using the substitution of u=ax. Not too sure on this but I think it is something using double angle formulas e.g. to integrate cos^2 x... you change it to (cos2x +1)/2. Is...

Hi, I did a question but ended up getting a ridiculous answer, please anyone correct my solution and outline what i did wrong, because I can't seem to see where i went wrong. Thanks guys. Q. Find the volume of solid of revolution formed when the area between y=4x^2 and y=x^3 is rotated about...

Hi, I don't quite understand what this question is asking me to do. Q. Find the area in the first quadrant bounded by y=x^2 and y=x^3 using: (i) the x-axis (ii) the y-axis I understand there is a part enclosed by these two graphs, but does it mean by "using the x/y axes"?? Could some please...

Thanks for the quick helps guys, appreciate it heaps! I got 2(root3) + pi/3. Can someone confirm whether this is correct?

Hi, I don't really know how to do these area questions, could some please explain how to do: Q1. Find the area under y=cosx - (1/2) BETWEEN x=-pi and x=pi It is the (-1/2) part added to the graph that is causing me problems. Could some please demonstrate to me how to do this question? Thank...

how does this work?

Hi just a quick question, to illustrate my problem I'm going to use the example: Integration of x(4-x)^0.5............. domain: -5(<)x(<)3 Now using substitution of u=4-x, lets proceed So when x=3, u=1 when x=-5, u=9 Now when you are changing the limits from "respect to x" to "in respect to...

http://community.boredofstudies.org/showthread.php/255066-Private-Tutoring-for-2011-Senior-Students-in-Mathematics-Ext-1-amp-2-Strathfield

also fundamentals of mathematics has 12 chapters whilst essentials of mathematics has 17 chapters Other than that I don't seemed to know if there is a clear distinction between the two, because seem entirely different books with differing questions etc

Hi guys, I was browsing through the library and I came across a few maths textbooks made by Terry Lee for 2+3 unit. One book was "Essentials of Mathematics: a Complete 2+3 unit course BOOK1" The 2nd book was:"Essentials of Mathematics: a Complete 2+3 unit course BOOK2" Evidently books 1 & 2...

aaahhhhhhhh..... thank you very much

excuse me, quick question that I'm a tad curious about --> how do you know what the "potential roots are" in a non-monic polynomial? E.g. in a monic polynomial, the integer roots were factors of the constant. So what is the rule regarding rational roots (non-integer)? Please explain. Thankyou.

wow wow wow thankyou so much mate!!!