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Consider the integral of sin(2x+1). I note the normal method would be to let u=2x+1(if you are asked to use substitution). But can someone explain the following method: integral (sin(2x+1)dx)=integral(sin(2x+1) d(2x+1)/2)?

Does anyone know if BOS is making a 2017 paper and if so when? Would like to sit it.

Was reading volumes by terry lee and it was a trapezoidal solid/frustum and we had to find the volume using similar solids. Mr Lee's answer claimed that the height (h) of the solid is linearly dependent to x which measures the length of the typical slice/cross-section. Is this valid? i mean we...

hi, is it safe to assume index laws and logarithmic laws only apply(apply without need to confirm other things...) for positive bases? E.g. for equations like log(base x) 4=2, we only get the answer of 2 and not negative 2 right?

Ships A and B leave port P at the same time. Ship A sails 4km on a bearing of 40 degrees , then a further 6km on a bearing of 155 degrees to reach destination D. Ship B sails directly from P to the the destination D. In which direction does Ship B sail? I solved this in two ways (sine...

Is the answer to x^(2/3)=4 a) 8 b) 8 or -8?

Hi guys, for those who sat the 2014 AMC, could someone please enlighten me on the last 2 questions. Especially the last question...i dont see any pattern for the primes...

In circle geometry, when we say an angle is standing on an arc, do we mean it stands on the major arc or the minor arc?

I'm confused...MUST you use induction to prove De Moivre's theorem(by the way how do you prove De moivre's theorem for negative integers?)? I mean, isnt zw=r_1 r_2 cis(theta_1+theta_2)? then isnt it obvious that z^n=(r^n)cis(n theta)? so why induction?

How do one sketch 0< arg(z(1+i)) < pi/2

Please help

1. Where can you buy 4unit textbook by someone called komoroni 2. How do you sketch y=x/((e^X) -1) without lhopital

Just wondering if anyone know when the release date for cssa and independent papers for 3/4 unit. Which one tend to be harder?

Given I_n=\int_{e^-1}^{1} (1+lnx)^n dx = 1-n(I_(n-1)) and J_n=\int_{e^-1}^{1} (lnx)(1+lnx)^n dx for n=0,1,2,3,... show that J_n=1-(n+2)I_n for n=0,1,2,3,... Sorry for my sloppy latex input PS: is there a way to input latex on this forum?

If p(x)=x^4+kx^3+x^2+x+1, what values of k will all roots be integers? is it the set k inside Z?

hi all, yearlies coming up, im willing to trade 2011/2012 kings past paper with your schools. Pm me!

Hi all, Im after Sydney grammar, james ruse(not 2011) and baulkam hills yr 9 or 10 half-yearly or yearly papers. I have a bunch of abbotsleigh or pymble ladies to trade if needed. Please PM me. Thank heaps!

Hi all, does anyone have kings or plc 2012 trial?

Find A(x) and B(x) if 1/(9(cos x)^2 - 4 (sin x)^2) = A(x) / (3 cos x - 2 sin x) +B(x) / (3cos x + 2 sin x)

Given z^6+z^3+1=[z^2-2zcos(2pi/9)+1][z^2-2zcos(4pi/9)+1][z^2-2zcos(8pi/9)+1], prove that 2cos(3x)+1=8[cos(x)-cos(2pi/9)][cos(x)-cos(4pi/9)][cos(x)-cos(8pi/9)]