A plate extending from depth y=5 m to y=7 m is submerged in a fluid of density rho=850 kg/m³. The horizontal width of the plate at depth y is f(y)=2⋅(1+y²)⁻¹.
Calculate the fluid force F on one side of the plate. (The acceleration for gravity is 9.8 m/s². Give your answer to two decimal places.)