Solution assignment 02 Area and volume

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Assignment 2

Calculate the area which is enclosed by y=\displaystyle\frac{1}{x}, the lines x=1, x=3 and y=2.


The area can be calculated as follows: calculate the area of the rectangle through the points (\displaystyle\frac{1}{2},2) and (3,0) and subtract the area of the area enclosed by the lines x=\displaystyle\frac{1}{2} and x=3, the X-axis and the graph of y=\displaystyle\frac{1}{x}. This yields the following formula:



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