If ∫ ([x^2]+[x^2 / 2]) dx; x ∈ [0, 3] = a + b√2 + c√6 - √3 - √5 - √7 (a, b, c ∈ I) then (a + b + c) equals

Question

If \(\int \limits_0^3 \left([x^2] + \left[\frac {x^2}2\right] \right)dx = a +b \sqrt2 + c\sqrt 6 - \sqrt 3 - \sqrt 5 - \sqrt 7(a, b, c \in I)\) then (a + b + c) equals _____.

Answer 1

Correct answer: 23