please explain the intergration part and the graphical method of obtaining the volume of the reactor

Question 7: Ethyl acetate (M) is to be manufactured by the reversible esterification of acetic acid (A) with ethanol (B) to produce water (N) in an isorthermal batch reactor. A production rate of 10 tonne/day of ethyl acetate is required. CH3COOH+C2H5OHCH3COOC2H5+H2O The reactor will be charged with a mixture containing 500kg/m3 ethanol and 250 kg/m3 acetic acid, the remainder being water, and a small quantity of hydrochloric acid to act as a catalyst. The density of this mixture is 1045kg/m3 which will be assumed constant throughout the reaction. The reaction is reversible with a rate equation, over the concentration range of interest, can be written as: RA=kICACBkICMCN At the operating temperature of 100C the rate constants are: kf=8.0106m3/kmol.skf=2.7106m3/kmol.s The reaction mixture will be discharged when the conversion of the acetic acid is 30%. A time of 30 minutes is required between batches for discharging, cleaning and recharging. Determine the volume of the reactor required. [20]