JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)Let ⌊·⌋ denote the greatest integer function. If ∫0e3⌊1ex−1⌋ dx=α−ln2,\displaystyle\int_{0}^{e^3} \Bigl\lfloor\frac{1}{e^{x-1}}\Bigr\rfloor\,dx = \alpha - \ln 2,∫0e3⌊ex−11⌋dx=α−ln2, then α3\alpha^3α3 is equal to:Your answerInteger or decimalCheckStep-by-step hintSkip · show solution
