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Lithium
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#1
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#1
Can anyone explain the Trapezium rule? i really cant get it!

THNX ( rep to whoever can ger it STUCK in my head)
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kikzen
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#2
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you use many trapeziums to estimate the area under a curve. the more you have, the more accurate the estimation.

ordinates are the lines separating the strips, and the strips are the strips.

to calculate the area, you take teh x values of the ordinates (which depends how how 'high' each strip is) and calculate the appropriate y values.

the first and last y values need to be added to 2X(the sum of the other y values).
then times that by the 'height' of each strip, divided by two.
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Lithium
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#3
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Ok, but what is the diff between strips and ordinates?
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Nylex
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#4
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(Original post by KOH)
Ok, but what is the diff between strips and ordinates?
The strips are the actual areas, the ordinates are the divisions.
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Lithium
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#5
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(Original post by Nylex)
The strips are the actual areas, the ordinates are the divisions.

so if question said:

use the trapizium rule with 6 equally spaced ordinates, to calculate the area under the curve of equation ( y= SecX ) between (-Pi/3) and (pi/3) how we do it?
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Nylex
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(Original post by KOH)
so if question said:

use the trapizium rule with 6 equally spaced ordinates, to calculate the area under the curve of equation ( y= SecX ) between (-Pi/3) and (pi/3) how we do it?
See above, that method is right.
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Lithium
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#7
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(Original post by Nylex)
See above, that method is right.

Thnx.....
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