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# How is the trapezium rule related to the intervals/strips watch

1. In several questions Ive seen it said that how many number of strips (used in the trapezium rule) will give you an exact value for the integration of the curve or how many number of strips will give you an overestimation/ underestimation. I thought the estimation was just dependent on the type of curve and the more the number of strips the closer you are to the actual integral. so it should be infinite number of strips but its a multiple choice and doesnt say infinite
2. (Original post by Carman3)
In several questions Ive seen it said that how many number of strips (used in the trapezium rule) will give you an exact value for the integration of the curve or how many number of strips will give you an overestimation/ underestimation. I thought the estimation was just dependent on the type of curve and the more the number of strips the closer you are to the actual integral. so it should be infinite number of strips but its a multiple choice and doesnt say infinite
You're right over or under depends on the type of curve. The way calculators do integration between limits is the trapezium rule but the calculator does it so many times the difference between the actual value and value the calculator give is so small the calculator rounds up and gives you the actual value.

I guess tho the largest number of strips it gives you as a choice to be as accurate as possible.
3. (Original post by will'o'wisp)
You're right over or under depends on the type of curve. The way calculators do integration between limits is the trapezium rule but the calculator does it so many times the difference between the actual value and value the calculator give is so small the calculator rounds up and gives you the actual value.

I guess tho the largest number of strips it gives you as a choice to be as accurate as possible.
Look at this question:

The trapezium rule is then used to estimate
$\int_{0}^{1}f(x)dx$
by dividing
$0\leq x\leq 1$
into n equal intervals. The estimate calculated will equal theactual integral when
(a) n is a multiple of 4
(b) n is a multiple of 6
(c) n is a multiple of 8
(d) n is a multiple of 12.

The graph is also giiven but cant post that on here. Here it says the number of strips decides whether the estimate calculated will be the actual integral
4. (Original post by Carman3)
Look at this question:

The trapezium rule is then used to estimate
$\int_{0}^{1}f(x)dx$
by dividing
$0\leq x\leq 1$
into n equal intervals. The estimate calculated will equal theactual integral when
(a) n is a multiple of 4
(b) n is a multiple of 6
(c) n is a multiple of 8
(d) n is a multiple of 12.

The graph is also giiven but cant post that on here. Here it says the number of strips decides whether the estimate calculated will be the actual integral
Sorry dude, i've seen my friend do this question i think and we together never finished it but he went off got some help and finished it with a teacher so i never saw how to complete this question on the MAT

I'm sure ghostwalker or notnek can help
5. (Original post by will'o'wisp)

I'm sure ghostwalker or notnek can help
Not when there's only half the question, but a bit of googling...
https://undergroundmathematics.org/i...calculus/r5642
6. (Original post by ghostwalker)
Not when there's only half the question, but a bit of googling...
https://undergroundmathematics.org/i...calculus/r5642
That's the one

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