Use the Reimann Sum to calculate the area.

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To estimate the area under the curve y = ln(x) for 1 ≤ x ≤ 5 using the left-hand rule with n = 50, participants express frustration over the number of calculations required. Some suggest that using a computer could expedite the process, while others emphasize the necessity of manual calculations for test purposes. The discussion highlights the tension between computational efficiency and academic requirements. Ultimately, the focus remains on finding a practical solution to the problem within the constraints given. The conversation underscores the challenges of applying numerical methods in a testing environment.
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Homework Statement


Estimate the area of the region under the curve y = ln(x) for 1 ≤ x ≤ 5. Use the left-hand rule with n = 50.


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The Attempt at a Solution



Do I really have to do 50 calculations? There has to be a faster way :/ (aside from using the definite integral)
 
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You're probably meant to use a computer.
 
well he asked us this question during a test so there has to be a way.
 

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