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Can anyone prove by induction that n(x+a)^(n-1) = sum_{r=0}^{n} r . nCr . x^(r-1) . a^(n-r) for n=1,2,3,... Thanks.

I am trying to find the integral of dx/(3+4sin(2x)). Can anyone help? Thanks!

Given I_n = integral of x^n divided by sqrt(x^2-a^2) dx show that nI_n - (n-1)a^2I_(n-2)=x^(n-1)sqrt(x^2-a^2). I can't prove it. Can anyone help. Note I_n means I then subscript n like for recurrence integral questions. Thanks!

Not sure if you guys have seen this before but here is a test that you can use to decide whether or not you are suited to enrolling in Advanced Level Maths at the University of Sydney. Student Self Test It's probably best to take the test after you have completed Integration and Conics from...

Find the volume of the pyramid with base in the plane z=-6 and sides formed by the three planes y=0 and y-x=4 and 2x+y+z=4. The question comes from Multivariable Calculus by McCallum et al (1997 version) page 239 Q12. It is at the end of a section on triple integrals and use of substitutions...

I noticed a number of Power Point Presentations produced by James Taylor on the MANSW site. http://www.mansw.nsw.edu.au/publications/powerpoint-presentations-for-sec-schools.htm Some of these presentations cover various parts of the Extension 2 course and on many occasions cover more...

I know this is about the 2005 2 Unit paper and should be posted elsewhere, however I thought this may be the best place to resolve my question. In Q10(b) (i) it says explain why x and y will meet if x-y<= 0.25 OR y-x<=0.25. My thought is that this implies that you need to demonstrate that...

I know this is about the 2005 2 Unit paper and should be posted elsewhere, however I thought this may be the best place to resolve my question. In Q10(b) (i) it says explain why x and y will meet if x-y<= 0.25 OR y-x<=0.25. My thought is that this implies that you need to demonstrate that...