1.

If the value of the integral 5∫0x+[x]ex−[x]dx=αe−1+β, where α, β∈R, 5α+6β=0, and [x] denotes the greatest integer less than or equal to x; then the value of (α+β)2 is equal to:

Answer»

If the value of the integral 50x+[x]ex[x]dx=αe1+β, where α, βR, 5α+6β=0, and [x] denotes the greatest integer less than or equal to x; then the value of (α+β)2 is equal to:



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