Application of Integration

The required area is obtained as follows:

e

∫

1

ln y dy = (ylny−y)1e = (e - e) - {- 1} = 1.
Also,

e

∫

1

ln y dy =

e

∫

1

ln (e + 1 - y) dy
Further, the area bounded by the region is
= e × 1 -

1

∫

0

ex dx