NVAMediumJEE Main 2025 · 29 January, Shift 2Limits

Mathematics Question from JEE Main 2025 · 29 January, Shift 2

If limt0(01(3x+5)tdx)1t=α5e(85)23,\lim_{t \to 0} \left( \int_0^{1} \left( 3x + 5 \right)^t dx \right)^{\frac{1}{t}} = \frac{\alpha}{5e} \left( \frac{8}{5} \right)^{\frac{2}{3}}, then α\alpha is equal to:

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