The curve C has polar equation r = a(1 e - ), where a is a

The curve C has polar equation r = a(1 — e^-θ), where a is a positive constant and 0 ≤ θ < 2π.

i. Draw a sketch of C.

ii. Show that the area of the region bounded by C and the lines θ = ln 2 and θ = ln4 is ½ a²(ln 2 – 13/32).