Work done on piston using calculus?

In a steam engine the pressure P and the volume V of steam satisfy the equation PV^1.4=k, where k is a constant. Use the information given to calculate work done in ft-lb by the engine during a cycle when the steam starts at a pressure of 160 lb/in^2 and a volume of 100 in^3 and expands to a volume of 800... show more In a steam engine the pressure P and the volume V of steam satisfy the equation PV^1.4=k, where k is a constant. Use the information given to calculate work done in ft-lb by the engine during a cycle when the steam starts at a pressure of 160 lb/in^2 and a volume of 100 in^3 and expands to a volume of 800 in^3


here are some more formulas given...
P=P(V)
F=pi(r^2)P
W=integral of PdV from v1 to v2
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