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If you were simply finding the area between the curve y=x and the x-axis then you could integrate from 0, but y=1/x never reaches 0 therefore you cannot integrate from 0 as you are finding an endless area, if you carry on with the hyperbole you will find it comes closer to the x-axis but never...

draw the two graphs first, as y=1/x never reaches the y axis you cannot simply integrate from x = 0 to x=2. therefore to equate this you need to divide the area into a triangle (between y=x and the point where the two functions meet) and integrate the remainder of the area, therefore to find the...