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Find the exact length of the curve.$$y=1-e^{-x}, \quad 0 \leqslant x \leqslant 2$$

$=-\left[\left(\sqrt{1+e^{-4}}+\frac{1}{2} \ln \left|\frac{\sqrt{1+e^{-4}}-1}{\sqrt{1+e^{-4}+1}}\right|\right)-\left(\sqrt{2}+\frac{1}{2} \mu \left| \frac{\sqrt{2}-1}{\sqrt{2}+1}\right|\right)\right]$

Calculus 2 / BC

Chapter 7

APPLICATIONS OF INTEGRATION

Section 4

Arc Length

Applications of Integration

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