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Definite Integration question

2023 · 8 Apr · Shift 2 · Q35

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PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 8 Apr · Shift 2 · Q35

Definite Integration question

2023 · 8 Apr · Shift 2 · Q35

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

Let

[t]

denote the greatest integer function. If

\int_{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

\underline{\hspace{2cm}}

.

Numerical answer

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