Numerical integration: Difference between revisions
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(Exact results offered. And, sorry, two more; the [1,5000] case may not necessarily force float precision problems with 32-bit floats. The [1,6000] case results above 2^24, and so it should.) |
(A little more precision on the ln(100). P.S. Do we need the other two tests?) |
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Demonstrate your function by showing the results for: |
Demonstrate your function by showing the results for: |
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* f(x) = x^3, where x is [0,1], with 100 approximations. The exact result is 1/4, or 0.25. |
* f(x) = x^3, where x is [0,1], with 100 approximations. The exact result is 1/4, or 0.25. |
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* f(x) = 1/x, where x is [1,100], with 1,000 approximations. The exact result is the natural log of 100, or about 4. |
* f(x) = 1/x, where x is [1,100], with 1,000 approximations. The exact result is the natural log of 100, or about 4.605170 |
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* f(x) = x, where x is [1,5000], with 5,000,000 approximations. The exact result is 12,500,000. |
* f(x) = x, where x is [1,5000], with 5,000,000 approximations. The exact result is 12,500,000. |
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* f(x) = x, where x is [1,6000], with 6,000,000 approximations. The exact result is 18,000,000. |
* f(x) = x, where x is [1,6000], with 6,000,000 approximations. The exact result is 18,000,000. |
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