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If the value of the integral int0^5 (x ...

If the value of the integral ` int_0^5 (x + [x])/(e^(x - [x])) dx = alphae^(-1) + beta`,where `alpha, beta in R, 5alpha + 6beta = 0, and [x] `denotes the greatest integer less than or equal to x, then the value of `(alpha + beta )^2` is equal to :

A

16

B

25

C

36

D

100

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