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Let T be the tangent to the ellipse E : `x^(2) + 4y^(2) = 5` at the point P(1,1). If the area of the region bounded by the tangent T, ellipse E,lines x = 1 and `x = sqrt(5)` is `alpha sqrt(5) + beta + gamma cos^(-1) ((1)/(sqrt(5)))`, then `|alpha + beta + gamma|` is equal to ________ .

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