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# Rectangles FP2 watch

1. Q1 of this paper: http://www.ocr.org.uk/Images/66647-q...hematics-2.pdf

So I know that it is an increasing function, so to find the upper bound I should find the integral of Ln(cos x) from n+1 to 1. The mark scheme does it a different way and I just don't understand it so can someone help.

Thanks

2. (Original post by ChemBoy1)
Q1 of this paper: http://www.ocr.org.uk/Images/66647-q...hematics-2.pdf

So I know that it is an increasing function, so to find the upper bound I should find the integral of Ln(cos x) from n+1 to 1. The mark scheme does it a different way and I just don't understand it so can someone help.

Thanks

You have linked to the question paper twice. Could you republish the link to the MS?
3. Update: Link to MS: http://pmt.physicsandmathstutor.com/...0FP2%20OCR.pdf

Thanks Old Engineer
4. (Original post by ChemBoy1)

Thanks Old Engineer
The upper bound is clearly just the sum of the areas of the rectangles since those cover more area than the curve up to the x-axis.

This is precisely what the mark scheme shows, means summing up the areas of the rectangles where 0.3 is the base (same for all rectangles), and y is the height which depends on the function's value.

Here,

as required (though turn it +ve since area is +ve by definition)
5. Thanks for this! any way I can do it on the calculator, it keeps saying augmentation error. Also are the values in Radians?

Thanks
(Original post by RDKGames)
The upper bound is clearly just the sum of the areas of the rectangles since those cover more area than the curve up to the x-axis.

This is precisely what the mark scheme shows, means summing up the areas of the rectangles where 0.3 is the base (same for all rectangles), and y is the height which depends on the function's value.

Here,

as required (though turn it +ve since area is +ve by definition)
6. (Original post by ChemBoy1)
Thanks for this! any way I can do it on the calculator, it keeps saying augmentation error. Also are the values in Radians?

Thanks
Yes you need to be in radians for this.

Not sure what that error means, but you can simply type in on your calc to give it straight away.

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