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Solomon paper A - I need help

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1. Can anyone help me with this question?
2. (Original post by RUNSran)
Can anyone help me with this question?
What have you done so far?
3. (Original post by undercxver)
What have you done so far for part c?
i actually do not know how to start or where to start from
4. (Original post by RUNSran)
Can anyone help me with this question?
You know that the area is

So you can replace and by their respective expressions and the limits should follow from from at which you need to find the value of that makes this so and then do the same for the other limit (which you've cropped out of the question, so...)
5. (Original post by RUNSran)
i actually do not know how to start or where to start from
You've been given parametric equations, you can make it by differentiating and .

Anyways, I'm assuming you should've done part a and b.

Find what equals when .

This will be your limits for when you integrate to find the shaded area.

I hope this helps you start of?
6. (Original post by Zacken)
You know that the area is

So you can replace and by their respective expressions and the limits should follow from from at which you need to find the value of that makes this so and then do the same for the other limit (which you've cropped out of the question, so...)
Oh, I get it - Thanks mate
what about 6 a? I tried solving it by parts but it seems I am missing something
7. (Original post by undercxver)
You've been given parametric equations, you can make it by differentiating and .

Anyways, I'm assuming you should've done part a and b.

Find what equals when .

This will be your limits for when you integrate to find the shaded area.

I hope this helps you start of?
Yeah I figured out how to obtain the limits in terms of t but getting the integral terms was the challenging bit - someone has explain it to me.
i have posted posted another question and I will be very glad if you could help
8. (Original post by RUNSran)
Oh, I get it - Thanks mate
what about 6 a? I tried solving it by parts but it seems I am missing something
I tried integration by parts too and got .

Doesn't look right though. is another answer I got.

I'm sorry but I'm not great at integration by parts yet. Maybe the way you did it is wrong? What exactly did you do step by step when integrating?
9. (Original post by RUNSran)
Oh, I get it - Thanks mate
what about 6 a? I tried solving it by parts but it seems I am missing something
expand cos(A+B) - cos(A-B) and see if that helps

dont open if youre doing step...
Spoiler:
Show
if you want more practice, try Q7, STEP I, 2009
10. (Original post by RUNSran)
Oh, I get it - Thanks mate
what about 6 a? I tried solving it by parts but it seems I am missing something
'Factor formula' - .
11. Thank very much guys - I will try using the using the suggested Identities and see.
12. (Original post by undercxver)
I tried integration by parts too and got .

Doesn't look right though. is another answer I got.

I'm sorry but I'm not great at integration by parts yet. Maybe the way you did it is wrong? What exactly did you do step by step when integrating?
I somehow can't see the pictures you uploaded .
This is what I did..

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