The reactions which occur in blast furnace at 500 – 800 K during extraction of iron from haematite are
i. \(3Fe_2O_3 + CO \rightarrow 2Fe_3O_4 + CO_2\)
ii. \(Fe_2O_3 + 3C \rightarrow 2Fe + 3CO\)
iii. \(FeO + 4CO \rightarrow 3Fe + 4CO_2\)
iv. \(FeO + CO \rightarrow 2FeO + CO_2\)
If \[ \int e^x (x^3 + x^2 - x + 4) \, dx = e^x f(x) + C, \] then \( f(1) \) is: