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

Question

Philoid · Accepted Answer

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

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

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

These are our bounds.

So, this will be computed as –

Using Integration by parts,

=[e – e – 0 + 1]

= 1 (Ans)