An important problem in thermodynamics is to find the work done by an ideal Carnot engine. A cycle consists of alternating expansion and compression of gas in a piston.
The work done by the engine is equal to the area of the region R enclosed by two isothermal curves xy = a, xy = b and two adiabatic curves xy^1.4 = c, xy^1.4 = d, where 0 < a < b and 0 < c < d. Compute the work done by determining the area of R.