JEE Advanced Model Paper 18 with solutions for online practice

Let y = f (x) be a polynomial such that $∫↖{x+√5}↙{x+√2}$ f (x) dx = ax + b , ∀ x ∊ R (a ≠ 0) and (a , b ∊ R) f (0) = 3 and f (1) = 5