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माना "Max"(0 le x le 2) {(9- x^(2))/(5-x...

माना `"Max"_(0 le x le 2) {(9- x^(2))/(5-x)} = alpha` तथा `"Min"_(0 le x le 2) {(9-x^(2))/(5-x)} = beta` है । यदि `int_(beta- (8)/(3))^(2 alpha- 1) "Max " {(9-x^(2))/(5-x),x} dx = alpha_(1)+ alpha_(2) log_(e) ((8)/(15))` है, तो `alpha_(1) + alpha_(2)` बराबर है ____ ।

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