The Student Room Group

Core 2 Integration

Curve C

a) Verify that C crosses the x-axis at the point (1,0)
b) Show that the point A (8,4) also lies on C.
c) The point B is (4,0). Find the equation of the line through AB.

The finite region R is bounded by C, AB and the positive x-axis.
d)Find the area R.



Help on d please.
Reply 1
What are your ideas about d) so far?
Reply 2
Original post by gff
What are your ideas about d) so far?


Should I find out the other x value where the line crosses the curve and use that as my lower limit and 8 as my upper limit then integrate x-4 -(curve C)
Reply 3
You would've gotten the right idea and the right method up until the point where you wouldn't consider the negative part of the region, etc.

However, this is supposed to be a Core 2 question, and therefore, you wouldn't be expected to do such things as it requires a bit more careful set-up.

The points which you need to know you already have from the previous steps.
You need to split the integral into two parts. You have the starting point, the middle point and the end point.
How you are going to do it?
Reply 4
Original post by gff
You would've gotten the right idea and the right method up until the point where you wouldn't consider the negative part of the region, etc.

However, this is supposed to be a Core 2 question, and therefore, you wouldn't be expected to do such things as it requires a bit more careful set-up.

The points which you need to know you already have from the previous steps.
You need to split the integral into two parts. You have the starting point, the middle point and the end point.
How you are going to do it?


I don't see how I use the fact that C goes through 0,1
Reply 5
You need the region bounded by C, AB and the positive x-axis.

The integral starts at the point where C crosses the x-axis.
Reply 6
I am going to bed now because I'm too tired.

IF you still can't do it after a bit of thought, then look here.

Spoiler

Reply 7
Have you sketched because, then it would be obvious
Reply 8
Original post by TenOfThem
Have you sketched because, then it would be obvious


Yeah I should of done that ;/
If you integrate the first part with 4 and 1 do you get 2.38809474?
Reply 9
You need the part between the curve and the line

you need a triangle as well as the integral
Reply 10
Original post by TenOfThem
You need the part between the curve and the line

you need a triangle as well as the integral


All right solved this :smile: thanks gff,TenOfThem

Quick Reply

Latest