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Definite Integration question

2023 · 30 Jan · Shift 1 · Q33

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PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 30 Jan · Shift 1 · Q33

Definite Integration question

2023 · 30 Jan · Shift 1 · Q33

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

\lim_{x \rightarrow 0} \frac{48}{x^{4}} \int_{0}^{x} \frac{t^{3}}{t^{6}+1} \mathrm{~d} t

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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