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1-let-f-x-0-2pi-cost-3-sin-xt-dt-find-a-explicit-form-of-f-x-2-calculate-g-x-0-2pi-tcos-xt-cost-3-sin-xt-2-dt-3-calculate-0-2pi-cost-3-sint-and-0-

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Question Number 55271 by maxmathsup by imad last updated on 20/Feb/19
1) let f(x) =∫_0 ^(2π) ((cost)/(3 +sin(xt)))dt find a explicit form of f(x) 2) calculate g(x) =∫_0 ^(2π) ((tcos(xt)cost)/((3 +sin(xt))^2 ))dt 3) calculate ∫_0 ^(2π) ((cost)/(3+sint)) and ∫_0 ^(2π) ((t cos^2 t)/((3+sint)^2 ))dt
1)letf(x)=∫02πcost3+sin(xt)dtfindaexplicitformoff(x)2)calculateg(x)=∫02πtcos(xt)cost(3+sin(xt))2dt3)calculate∫02πcost3+sintand∫02πtcos2t(3+sint)2dt

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