9 FURTHER APPLICATIONS OF INTEGRATION
9 FURTHER APPLICATIONS OF INTEGRATION
9 FURTHER APPLICATIONS OF INTEGRATION
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DISCOVERY PROJECT<br />
Arc Length Contest<br />
This interesting project requires students to discover formulas for two positive functions with area 1 over<br />
[0, 1] satisfying f (0) = f (1) = 0. The basic idea is to find the graph with minimal arc length. You may<br />
want to add the condition that the functions be differentiable. Since one example is given with L < 3, this is<br />
a challenging project.<br />
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