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Problem 31

Find the exact area under the cosine curve $ y = …

Problem 30

Find the exact area of the region under the graph of $ y = e^{-x} $ from 0 to 2 by using a computer algebra system to evaluate the sum and then the limit in Example 3(a). Compare your answer with the estimate obtained in Example 3(b).


Area $=\frac{e^{2}-1}{e^{2}} \approx 0.8647$


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