Hi. I derived a formula for the length of the graph of e^x in the first quadrant between x=a and x=b. It is:(adsbygoogle = window.adsbygoogle || []).push({});

sqrt(1+e^(2b)) - sqrt(1+e^(2a)) + (a-b) + log [(sqrt(1+e^(2b)) - 1) / (sqrt(1+e^(2a)) - 1)]

I think it works because it gave a value of approx 2.003 units for a=0 and b=1. For a=0 and b=1, we're moving from (0,1) to (1,e), so, there's a straight line distance of 1.987 units. And, considering that we're going along a curve, that would account for the additional length. Is there some way to check if it works or not?

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# B Length of the graph of e^x

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