The Student Room Group

C2 have I done this correctly?

Original post by junayd1998

When I plugged it into my calculator, the integral came out to be 5.83 (3sf) so thats close enough seeing that the trepezium rule is meant to be inaccurate as it is an estimate. You near definitely did it correctly.
Reply 2
Original post by Foodatastic
When I plugged it into my calculator, the integral came out to be 5.83 (3sf) so thats close enough seeing that the trepezium rule is meant to be inaccurate as it is an estimate. You near definitely did it correctly.


but surely the estimate would be the same as mine?? because I used the widths going up in 0.5. idk im kinda confused now have i done it right.
Original post by junayd1998


Can you explain the line under the diagram? Which formula have you used?
Reply 4
Original post by Muttley79
Can you explain the line under the diagram? Which formula have you used?


I have used the trapezium rule/ formula
Original post by junayd1998
I have used the trapezium rule/ formula


I don't think you have used it correctly?

Where is the doubling of the middle 'edges'?
Reply 6
Original post by Muttley79
I don't think you have used it correctly?

Where is the doubling of the middle 'edges'?


idkkk :/

I thought you use the formula like this so you do the width x 1/2 then 2 + first height all of the sum of the middle heights and then add the last one.
Capture.PNG
Original post by junayd1998
idkkk :/

I thought you use the formula like this so you do the width x 1/2 then 2 + first height all of the sum of the middle heights and then add the last one.
Capture.PNG


that is the correct formula for the trapezium rule method
Original post by junayd1998
idkkk :/

I thought you use the formula like this so you do the width x 1/2 then 2 + first height all of the sum of the middle heights and then add the last one.
Capture.PNG


Indeed what is written in script is correct but that is not what you've done - check your substitution.
Reply 9
Original post by the bear
that is the correct formula for the trapezium rule method


so then have i done it correctly? When i plugged my numbers into that trapeizum rule with the same brackets and everything i got that and iv checked the mark scheme and it says 5.899
Original post by the bear
that is the correct formula for the trapezium rule method


His text plus the working above does not agree with this correct fomula though ...
Original post by Muttley79
Indeed what is written in script is correct but that is not what you've done - check your substitution.


I know what I have done ohhh it should be 1.732 +2 rather than 2+1.732 i got it now thanks everyone :smile:
i cannot see the image in the first post
Original post by junayd1998
so then have i done it correctly? When i plugged my numbers into that trapeizum rule with the same brackets and everything i got that and iv checked the mark scheme and it says 5.899


That's not what you got before though - your substitution [which you've now deleted] was incorrect.
Original post by the bear
i cannot see the image in the first post


He's deleted it but found his error ....
Original post by Muttley79
That's not what you got before though - your substitution [which you've now deleted] was incorrect.


I havent deleted anything. The picture still shows. TSR must have some issues then. Anyways I have seen where I have gone wrong. Thank you for your help :smile:
Original post by junayd1998
but surely the estimate would be the same as mine?? because I used the widths going up in 0.5. idk im kinda confused now have i done it right.


My calculator can do integrals accurately. I didn't use your estimate, I plugged in the equation and the bounds and it told me an accurate answer.

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