C2: Application of Differentiation Again

if you leave money under your pillow you get a maths problem

I have.......

..and I will be

As long as it's not mechanics...


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Amen to that although if zacken is delivering the problems i doubt it will be

It will probably require a reduction formula involving hyperbolic trig identities and 3 successive integration by parts with powers m and n


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Not a good sign that I can immediately think of a STEP III question that does this...

Guess it's me four.

It will probably require a reduction formula involving hyperbolic trig identities and 3 successive integration by parts with powers m and n

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if that's the case he can have my life savings reduction formula are so sexy are you doing FP3 this year?

My class had the option of doing M3 or FP3, we took it to a vote and M3 won 5 votes to 2, have to content myself to working through the chapters in my spare time
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@Zacken @drandy76


Given that $\displaystyle I_n = \int_0^a (a^2 -x^2)^n\: \text{d}x$

Show that $\displaystyle I_n = \frac{2na^2}{1+2n} I_{n-1}$

I done this with standard trig, but a teacher showed me this method, its so so good, ill spoiler the solution so you can try it first

@Zacken @drandy76


Given that $\displaystyle I_n = \int_0^a (a^2 -x^2)^n\: \text{d}x$

Show that $\displaystyle I_n = \frac{2na^2}{1+2n} I_{n-1}$

I done this with standard trig, but a teacher showed me this method, its so so good, ill spoiler the solution so you can try it first

ah damn, how could 5/7 people turn down FP3 smh they dont know what they missed

Isn't this the method you alway use? It's certainly the one I always do!

The a^2 -x^2 actually reminds me of a pretty neat circle question I saw in my c4 textbook, I think I remember my teacher showing my class the adding 0 trick during this topic as well
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nope im a bit of a trig fanboy myself

I thought youd be impressed with the creating zero trick




no one impressed then, well...

3 engineers and 2 bottle jobs, they have brought shame upon the school
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Sorry my teacher beat you to the punch I guess? (Using mobile and have no clue how to pure emotes on)

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oh damn, I hope their sinh-y reputations within school have been dented

ah well, me--><--your teacher