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# Integration maths question.

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1. How would you approach this question in this Maths paper, and if you can, please explain to me why.
It is from the OCR exam board, Core 2: June 2008 Question 5 part (I).
And can be found here: http://www.ocr.org.uk/Images/63180-q...hematics-2.pdf
2. (Original post by BlossomSerena)
How would you approach this question in this Maths paper, and if you can, please explain to me why.
It is from the OCR exam board, Core 2: June 2008 Question 5 part (I).
And can be found here: http://www.ocr.org.uk/Images/63180-q...hematics-2.pdf
Find x as a function of y.

Find limits using function.

Integrate.
3. First I would find the y values of the two horizontal lines (by finding the points of intersection with the curve), say y1 and y2.

Then I would think about the integral as two regions: the region where you want to integrate x from 0 to 2 and y from y1 to y2, and the region where you want to integrate between the curve and the line y=y2.

Find the curve as a function of y (so y=2+root(x+2) => x=f(y)), and write both integrals as [integral from y1 to y2] [some integral over x domain] *** dx dy

Then when you work out the middle part "[integral over x domain] *** dx" you can incorporate the two integrals over y together.

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