Let [t] denote the greatest integer function. If ∫₀^(2.4)[x²] d x=α+β √(2)+γ √(3)+δ √(5), then α+β+γ+δ is equal to _ _ _ _ _.

Integral Calculus: JEE Main 2023 Mathematics question

JEE Main 2023 · 8 Apr, Evening shift · Q31

JEE Main 20238 Apr, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

Let

[t]

denote the greatest integer function. If

\int_\limits{0}^{2.4}\left[x^{2}\right] d x=\alpha+\beta \sqrt{2}+\gamma \sqrt{3}+\delta \sqrt{5}

, then

\alpha+\beta+\gamma+\delta

is equal to __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Integral Calculus Question with Answer (8 Apr Evening shift, Q31) | JEE Arc