MathematicsMedium210×since 2002Q3403If the integral ∫010[sin2πx]ex−[x]dx=αe−1+βe−12+γ\int_0^{10} {{{[\sin 2\pi x]} \over {{e^{x - [x]}}}}} dx = \alpha {e^{ - 1}} + \beta {e^{ - {1 \over 2}}} + \gamma∫010ex−[x][sin2πx]dx=αe−1+βe−21+γ, where α\alphaα, β\betaβ, γ\gammaγ are integers and [x] denotes the greatest integer less than or equal to x, then the value of α\alphaα + β\betaβ + γ\gammaγ is equal to :A0B10C20D25Check answerSkip