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int(1+oo)^( x^(2)/(1+x^3))dx...

`int_(1+oo)^( x^(2)/(1+x^3))dx`

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The value of the integral I=int_(1)^(oo) (x^(2)-2)/(x^(3)sqrt(x^(2)-1))dx , is

int_(1)^(oo) (1)/(1+x^(2)) dx =

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