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Maths a level question integration help please

Hi please could I have some help on 9ii of this paper
Paper: https://www.physicsandmathstutor.com/pdf-pages/?pdf=https%3A%2F%2Fpmt.physicsandmathstutor.com%2Fdownload%2FMaths%2FA-level%2FC3%2FPapers-OCR%2FJune%202013%20QP%20-%20C3%20OCR.pdf
I don’t know where I’ve gone wrong. I know the equation of PQ is correct because it is on the mark scheme but I’m not gettting the same final answer.
My working: https://ibb.co/b5L0CdMZ
Thank you!

Reply 1

Original post
by anonymous56754
Hi please could I have some help on 9ii of this paper
Paper: https://www.physicsandmathstutor.com/pdf-pages/?pdf=https%3A%2F%2Fpmt.physicsandmathstutor.com%2Fdownload%2FMaths%2FA-level%2FC3%2FPapers-OCR%2FJune%202013%20QP%20-%20C3%20OCR.pdf
I don’t know where I’ve gone wrong. I know the equation of PQ is correct because it is on the mark scheme but I’m not gettting the same final answer.
My working: https://ibb.co/b5L0CdMZ
Thank you!

You should be able to integrate under the curve to get 0.5e^(2x) - 9x^2 +15x (before evaluating the limits)
Then find the area of the trapezium formed by PQ
Then do area of trapezium - area under curve

I think that might be easier than trying to combine the integrals

Reply 2

Original post
by anonymous56754
Hi please could I have some help on 9ii of this paper
Paper: https://www.physicsandmathstutor.com/pdf-pages/?pdf=https%3A%2F%2Fpmt.physicsandmathstutor.com%2Fdownload%2FMaths%2FA-level%2FC3%2FPapers-OCR%2FJune%202013%20QP%20-%20C3%20OCR.pdf
I don’t know where I’ve gone wrong. I know the equation of PQ is correct because it is on the mark scheme but I’m not gettting the same final answer.
My working: https://ibb.co/b5L0CdMZ
Thank you!

The obvious typo is a division by 3 or ln(3) for PQ? Not checked the mark scheme, but you seem to drop the ln near the start?

Reply 3

Original post
by mqb2766
The obvious typo is a division by 3 or ln(3) for PQ? Not checked the mark scheme, but you seem to drop the ln near the start?

Omg yes, thank you I got the correct answer now!

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