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Open Middle: Definite Integral Problem

Using the digits 1 to 9 at most one time each, place a digit in each box to make a solution that is as close to 100 as possible.

Using the digits 1 to 9 at most one time each, place a digit in each box to make a solution that is as close to 100 as possible.
Problem created by Robert Kaplinsky. Source: Open Middle For an interactive version of this problem in GeoGebra Notes, click here.