Question

Find the area enclosed by the curves y = ln(x + e) and x = ln(1/y), and x-axis.

Answer 1

Given curves are

y = ln(x + e) and x = ln(1/y) 

y = ln(x + e), y = e^–x, y = 0

Hence, the required area

= (1 – (0 – 0)) 

= 2 sq.u.