If , then the last digit of the number is equal to (where 'c' is integration…

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

\int \frac{4 + x^{12}}{(x^6 - 2x^3 + 2)}\,dx = \frac{x^\alpha}{\alpha} + \frac{x^\beta}{\gamma} + \delta x + c

, then the last digit of the number

(\alpha - \beta + \gamma - \delta)^{99}

is equal to (where 'c' is integration constant)