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Let f(x)=(e^x+1)/(e^x-1) and int0^1x^3*(...

Let `f(x)=(e^x+1)/(e^x-1) and int_0^1x^3*(e^x+1)/(e^x-1)dx=alpha.` Then `int_-1^1 t^3f(t)` dt is equal to

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