Numerical integration: Difference between revisions
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Demonstrate your function by showing the results for: |
Demonstrate your function by showing the results for: |
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* {{math|1=ƒ(x) = x<sup>3</sup>}}, |
* {{math|1=ƒ(x) = x<sup>3</sup>}}, where '''x''' is [0,1], with 100 approximations. The exact result is 0.25 (or 1/4) |
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* {{math|1=ƒ(x) = 1/x}}, where '''x''' is [1,100], with 1,000 approximations. The exact result is |
* {{math|1=ƒ(x) = 1/x}}, where '''x''' is [1,100], with 1,000 approximations. The exact result is 4.605170<sup>+</sup> (natural log of 100) |
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* {{math|1=ƒ(x) = x}}, where '''x''' is [0,5000], with 5,000,000 approximations. The exact result is 12,500,000 |
* {{math|1=ƒ(x) = x}}, where '''x''' is [0,5000], with 5,000,000 approximations. The exact result is 12,500,000 |
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* {{math|1=ƒ(x) = x}}, where '''x''' is [0,6000], with 6,000,000 approximations. The exact result is 18,000,000 |
* {{math|1=ƒ(x) = x}}, where '''x''' is [0,6000], with 6,000,000 approximations. The exact result is 18,000,000 |
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;See also: |
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* [[Active object]] for integrating a function of real time. |
* [[Active object]] for integrating a function of real time. |
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* [[Special:PrefixIndex/Numerical integration]] for other integration methods. |
* [[Special:PrefixIndex/Numerical integration]] for other integration methods. |
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