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Question

Mathematics Question on integral

Let [t] denote the greatest integer function. If 02.4[x2]dx=α+β2+γ3+δ5,\int\limits_0^{2.4}[x^2]dx=α+β√2+γ√3+δ√5, then α+β+γ +δ is equal to _____.

Answer

The answer is : 6