Q3 of 123 Page 22

The area bounded by the curve y = loge x and x-axis and the straight line x = e is


We need to find the area of the blue shaded region.


At, x = 1, y = loge(1) = 0


And, at x = e, y = loge(e) = 1


These are our bounds.


So, this will be computed as –



Using Integration by parts,




=[e – e – 0 + 1]


= 1 (Ans)

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