Can income be gained "continuously"? Suppose you are to be given $10,000 for one year as a lump sum, or $1,000 over ten intervals, or $100 over 100 intervals (always over one year). Assuming a 5% APR coinciding with each interval, can you construct a continuous income stream integral? Does each "part" of the integral make sense? you may need to use the formula for sum of a geometric series to help see the development.

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