Let {:("Max"),(0 lex le2):}{(9-x^2)/(5-x...

Let `{:("Max"),(0 lex le2):}{(9-x^2)/(5-x)}= alphaand {:("Min"),(0 lex le2):}{(9-x^2)/(5-x)}= beta`
If `int_(beta-8/3)^(2alpha-1)Max{((9-x^2)/(5-x),x)} dx = alpha_1+alpha_2log_e(8/15)` then then `alpha_1 + alpha_2` is equal to ______

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