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Let I1=int0^(oo) (f(x^n+x^(-n))xlogx)/(1...

Let `I_1=int_0^(oo) (f(x^n+x^(-n))xlogx)/(1+x^4)dx` and `I_2=int_(-oo)^(oo) (f(e^(nx)+e^(-nx))x)/(e^(2x)+e^(-2x))dx` then

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