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manual:chapter8:numinteg [2021/10/01 05:26] jojo1973 created |
manual:chapter8:numinteg [2021/10/01 12:35] (current) jojo1973 |
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- | ==== Example 1: Bound function on closed interval ==== | + | ==== Example 1: Bounded |
| pic | $$ \int^{2}_{0} x^{10}e^{\left(4x^{3}-3x^{4}\right)} \,dx $$ | **Input: | | pic | $$ \int^{2}_{0} x^{10}e^{\left(4x^{3}-3x^{4}\right)} \,dx $$ | **Input: | ||
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tol | tol | ||
NUMINT</ | NUMINT</ | ||
- | | ::: | tol=10< | + | | ::: | tol=10< |
- | | ::: | tol=10< | + | | ::: | tol=10< |
- | | ::: | tol=10< | + | | ::: | tol=10< |
- | | ::: | | + | | ::: | |
+ | | ::: | Truncated | ||
This integral is interesting because the shape of the function in the interval is flat almost everywhere except for a narrow peak which is however captured by the algorithm. | This integral is interesting because the shape of the function in the interval is flat almost everywhere except for a narrow peak which is however captured by the algorithm. |