MathematicsHard210×since 2002Q3417If the value of the integral ∫05x+[x]ex−[x]dx=αe−1+β\int\limits_0^5 {{{x + [x]} \over {{e^{x - [x]}}}}dx = \alpha {e^{ - 1}} + \beta }0∫5ex−[x]x+[x]dx=αe−1+β, where α\alphaα, β\betaβ ∈\in∈ R, 5α\alphaα + 6β\betaβ = 0, and [x] denotes the greatest integer less than or equal to x; then the value of (α\alphaα + β\betaβ)² is equal to :A100B25C16D36Check answerSkip