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Definite Integration question

2022 · Shift 2 · Q21

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PYQ Library
JEE Advanced
Mathematics
Definite Integration
2022 · Shift 2 · Q21

Definite Integration question

2022 · Shift 2 · Q21

JEE AdvancedMathematicsDefinite IntegrationNumerical+3 / −1

The greatest integer less than or equal to

\int_{1}^{2} \log _{2}\left(x^{3}+1\right) d x+\int_{1}^{\log _{2} 9}\left(2^{x}-1\right)^{\frac{1}{3}} d x

is

\underline{\hspace{2cm}}

.

Numerical answer

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