Edexcel FP3 - 27th June, 2016

please explain again please, if you dont mind, sorry to bother

There you go. I hope that explains it. If not just tell me and I'll be glad to explain further.

Yeah I get it now thank you (:

There you go. I hope that explains it. If not just tell me and I'll be glad to explain further.

Learning Fp3 atm

Can someone help me with a reduction formulae question from the book?

You're given $\displaystyle I_n=\int_0^a(a^2-x^2)^n \text{d}x$.

I tried IBP setting u=(a^2-x^2)^n but ended up having to deal with an $\displaystyle \int_0^ax^2(a^2-x^2)^n \text{d}x$ integral and the power of x increases by 2 each time you try to IBP it so clearly that's a dead end.

does it not tell you to show something? Sure one could find a formula without having something to aim for but I don't recall many questions not having that..

May the force be with you all
I have 2 days to prepare for FP3 and S2................

Same. I'm actually learning a lot of it in those 2 days too :/.

I did S2 and FP3 in May last time... I kind of forgot a lot, I had 9 exams in the meantime, I was concentrating on those...
S2 is kind of ok i think, 1 day is probably enough but FP3 is a different thing
how important is S2/FP3 for meeting your offer?

It does.

Given that $\displaystyle I_n=\displaystyle \int_0^a (a^2-x^2)^n \text{d}x$ where $a$ is a positive constant,

show that, for $n>0$, $I_n=\dfrac{2na^2}{2n+1}I_{n-1}$.

Sir i still didnt get why we put a 2π in the formula instead of one... in my mind a i see that with a single pi a full circle is formed 🤔?

This was a tricky one somewhat (I haven't spent all this time trying to do it lol, to clarify)
Use difference of two squares, that's the starting point

Learning Fp3 atm

Can someone help me with a reduction formulae question from the book?

You're given $\displaystyle I_n=\int_0^a(a^2-x^2)^n \text{d}x$.

I tried IBP setting u=(a^2-x^2)^n but ended up having to deal with an $\displaystyle \int_0^ax^2(a^2-x^2)^n \text{d}x$ integral and the power of x increases by 2 each time you try to IBP it so clearly that's a dead end.

It's not a dead end. Try and split it up.

I asked on whatsapp and Euclidean has done it if anyone's interested.

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Huh I did it a different way.

The versatility of mathematics