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# FP2 maclurin series help watch

1. http://www.ocr.org.uk/Images/65004-q...hematics-2.pdf

I'm a bit stuck on question 2. So I've found the macluren series for and for . But then I'm not to sure what to do, I expanded out the binomial to get the first 3 terms not sure if it's right...

Work out the expansion of first though (multiply your previous results).
3. (Original post by Mr M)

Work out the expansion of first though (multiply your previous results).
So we have

So
4. (Original post by Music99)
So we have

So
Blimey you are making that too complicated. You don't need so many terms. Read the question.

Add 1 to your expansion to sin x to find the first bracket.

Multiply the terms and simplify.
5. (Original post by Mr M)
Blimey you are making that too complicated. You don't need so many terms. Read the question.

Add 1 to your expansion to sin x to find the first bracket.

Multiply the terms and simplify.
Yeah I was thinking that as I was typing it out. So then for the first bracket it's just ?
6. (Original post by Music99)
Yeah I was thinking that as I was typing it out. So then for the first bracket it's just ?
Yes. Simplify 3! to 6. You won't need that x^3 term in the end.
7. (Original post by Mr M)
Yes. Simplify 3! to 6. You won't need that x^3 term in the end.
Okay, I'll play around with it and post back If I have any questions or get stuck. Thanks for the help. I really need to get the textbook it sucks not having it aha.
8. (Original post by Mr M)
Yes. Simplify 3! to 6. You won't need that x^3 term in the end.
I got it right . Thank you. Would you mind helping me on question 5 also?

I'm on the first part. I've integrated by parts to get

Limits are 1/2 and 0,but I don't know how to latex them. I simplified it down to by saying the integral is just , although I'm not sure if that's right, or do I just integrated again?

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