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let-A-2-arctan-1-t-pi-4-2-t-2-t-dt-find-lim-0-A-

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Question Number 57948 by maxmathsup by imad last updated on 14/Apr/19
let A(ξ) =∫_ξ ^ξ^2 ((arctan(1+ξt)−(π/4))/( (√(2+ξt))−(√(2−ξt)))) dt find lim_(ξ →0) A(ξ) .
letA(ξ)=∫ξξ2arctan(1+ξt)−π42+ξt−2−ξtdtfindlimξ→0A(ξ).

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