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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)