Trapezium rule estimations? Watch

jessyjellytot14
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https://c4a3f001dcd45afe69d0ceec8300...%20Edexcel.pdf

I don't understand question 2 part (b). I've worked out the area for part A to be 26.46 but how do I use this to make an estimation for part B?
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Zacken
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(Original post by jessyjellytot14)
https://c4a3f001dcd45afe69d0ceec8300...%20Edexcel.pdf

I don't understand question 2 part (b). I've worked out the area for part A to be 26.46 but how do I use this to make an estimation for part B?
Well, it's just:

\displaystyle 

\begin{equation*}\int_{2}^{11} 1 \, \mathrm{d}x+ \frac{1}{2} \int_2^{11}\frac{12}{\sqrt{x^2 - 2}} \, \mathrm{d}x \end{equation*}

from which you can easily evalaute the first part of the integral, and the second part is just half your answer to the first part.
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jessyjellytot14
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(Original post by Zacken)
Well, it's just:

\displaystyle 

\begin{equation*}\int_{2}^{11} 1 \, \mathrm{d}x+ \frac{1}{2} \int_2^{11}\frac{12}{\sqrt{x^2 - 2}} \, \mathrm{d}x \end{equation*}

from which you can easily evalaute the first part of the integral, and the second part is just half your answer to the first part.
Okay thank you Is the 1dx just the difference between the two limits?
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Zacken
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(Original post by jessyjellytot14)
Okay thank you Is the 1dx just the difference between the two limits?
Yep.
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