If α = 1 and β = 1 + i√2, where i = √−1, are two roots of the equation x³+ax²+bx+c=0, a,b,c ∈ ℝ, then _ -1 ^...

Question

If α = 1 and β = 1 + i√2, where i = √−1, are two roots of the equation x³+ax²+bx+c=0, a,b,c ∈ ℝ, then _ -1 ^ 1 (x^3+ax^2+bx+c)dx is equal to:

Accepted Answer

(C)

JEE Main 2026 Mathematics question