Let [t] denote the greatest integer function.

Let [t] denote the greatest integer function. if \(\int\limits_0^{2.4}[x^2]dx=\alpha+\beta\sqrt{2}+γ\sqrt{3}+δ\sqrt{5},\) then α + β + γ + δ is equal to _____.

Let [t] denote the greatest integer function.

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