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I'm in a statistics course now, and its all extremely complex integrals. Th course is built around getting students ready for the actuarial exam, so thats at least one career path that requires a ton of calc (and actuaries make a lot of money to).
Not the path I'm heading down, because I think it would put me to sleep, but an example.
Essentially to find the probability and likley future occurance of anything, you need to do an integral. So it has application for everything from playing poker to polling to guessing how many people will die of lung cancer in the next 20 years. I'm a political science major and, despite it being a social science many people get into to avoid math, anyone desiring to understand much of the academic literature needs calc.
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