In the intergal 10∫0[sin2πx]ex−[x]dx=αe−1+βe−12+γ, where � – InterviewSolution

1.	In the intergal 10∫0[sin2πx]ex−[x]dx=αe−1+βe−12+γ, where α, β, γ are integers and [x] denotes the greatest integer less than or equal to x, then the value of α+β+γ is equal to:
Answer» In the intergal $10 \int 0 \frac{[sin 2 π x]}{e^{x - [x]}} d x = α e^{- 1} + β e^{- \frac{1}{2}} + γ,$ where $α, β, γ$ are integers and $[x]$ denotes the greatest integer less than or equal to $x,$ then the value of $α + β + γ$ is equal to:

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