JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)If limt→0(∫01(3x+5)tdx)1t=256(85)2α\lim_{t \to 0} \left(\int_0^1 (3x + 5)^t dx\right)^{\frac{1}{t}} = \frac{2}{56} \left(\frac{8}{5}\right)^{\frac{2}{\alpha}}limt→0(∫01(3x+5)tdx)t1=562(58)α2, then α\alphaα is equal to:Your answerInteger or decimalCheckStep-by-step hintSkip · show solution
