Find all continuous functions f(t) such that∫(0 to 1) f(t)dt=∫(0 to 1)f(t^2)^2dt + 1/3
write it all in terms of t^2

For a process taking place in a closed system containing gas, the volume and pressure relationship is pvi-constant. -1.5 bar, the process starts with initial conditions, pi = =0.03 m3 and ends with final volume, v2-0.05 m3 determine the work done by the gas.