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If ∫ − + − + 1 0 ) x 4 2 ( 2 dx ) e 1 )( x 2 x 2 5 ( 1 = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ β + α α 1 log 1 e , α , β > 0, then α 4 – β 4 is equal to-

1. 19
2. –21
3. 0
4. 21

Correct answer: 21

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