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# Integration - working out area between curve and line watch

1. I did the first 3 parts (a, b and c); for part c the equation of the line is y=x-4 (this is correct, I have checked with the answers)
2. (Original post by Kartheyan)
the
Are you sure this shouldn't be in the "1 word story!" thread?

Edited to add - your post changed in front of my eyes while writing this! But you need to try and get your picture pointing in the right direction - it is hard to read sideways.
3. (Original post by Pangol)
Are you sure this shouldn't be in the "1 word story!" thread?

Edited to add - your post changed in front of my eyes while writing this! But you need to try and get your picture pointing in the right direction - it is hard to read sideways.
done
4. bump
5. (Original post by Kartheyan)

I did the first 3 parts (a, b and c); for part c the equation of the line is y=x-4 (this is correct, I have checked with the answers)
Try and draw a sketch of the curve, passing through (1, 0) and A. It's not too hard to see that the curve is above the x-axis between these two points. Your curve doesn't even have to be vaguely accurate (just as well as it is not easy to draw), it just has to go through these points and lie above the line AB. If you can do this, the sketch should suggest what you have to do next.
6. (Original post by Pangol)
Try and draw a sketch of the curve, passing through (1, 0) and A. It's not too hard to see that the curve is above the x-axis between these two points. Your curve doesn't even have to be vaguely accurate (just as well as it is not easy to draw), it just has to go through these points and lie above the line AB. If you can do this, the sketch should suggest what you have to do next.
I sketched it and then I needed to work out the point of intersections to work out the area, but I'm struggling to solve this equation:

x^(2/3)-2x^(-1/3)+1=x-4
x^(2/3)-2x^(-1/3)-x+5 = 0
7. (Original post by Kartheyan)
I sketched it and then I needed to work out the point of intersections to work out the area, but I'm struggling to solve this equation:

x^(2/3)-2x^(-1/3)+1=x-4
x^(2/3)-2x^(-1/3)-x+5 = 0
But you already know that A is the point of intersection. Am I missing something?
8. (Original post by Pangol)
But you already know that A is the point of intersection. Am I missing something?
But just out of interest how would you solve that equation?
9. (Original post by Kartheyan)
But just out of interest how would you solve that equation?
I'm not sure that I would like to! I think that this is why they have already got you to work out the intersection point before you get to the last part.

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