What can one do if the desired integral cannot be done by any analytical method? For example, the integralcannot be done in close form, no matter what method you use.
In such cases, when a numerical answer is desired, one can approximate the integral by viewing the integral as an area , partitioning it into strips of width h and computing the left sum:
or the right sum: ![]()
or the trapezoidal rule (average): ![]()
or the midpoint rule: ![]()
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Copyright © 1997, Michael S. Pilant