GATE XE (Engineering Sciences) 2018 - Question 14

Section: Engineering Mathematics | Type: NAT | Marks: 1

For real numbers 1 α and 2, α if the formula () () 1 1 1 1 2 2 2 1 ( ) f x dx f f α α − − = + ∫ is exact for all polynomials of degree 1 ≤ then 1 2 2 3 α α + equals _______________

Answer: 5