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Posted by Ceoalpha at 2006-11-02 15:13:46
Write a program to find the value of x for which integrating the t function from 0 to x gives a result of p.
Find the value of x for which integrating the t function from 0 to x gives a result of p.
•	Start with a trial value for upper limit of 1 and calculate the value of the integration.
•	Compare it to the desired value.
-	if the result of the integration is too low, pick a larger trial upper limit
-	if the result of the integration is too high, pick a smaller trial upper limit

Make successive trial integrations until the value of the integration is within an acceptable error, say 0.00001.
The rules for adjusting d are these.
1.	As long as the tests for the error of the result give the same sign of the error, leave d unchanged.
2.	Whenever the sign of the error changes, divide d by 2.

Note that this method of adjusting d could result in a trial value of x = 0.

To guard against a problem with Simpson’s method, ensure that the program will handle a 0 value of the function being integrated.

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