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Problems of morality. Premarital sex of teens would be solved that way then.
Alot of problems were solved through the use of trig. To many to count in fact. The Sears tower would be an example I can think of. But good question.
Google " volume of revolution " problems and see how integration makes these problems that would not be easily solved by other methods easier.
That would really depend on the difficulty of the math problems. Some problems can be solved in seconds by somebody experienced in math, others may take hours.
a problem is a conflict or a question and its solved by thinking how u would do fix the problem