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int(1)/(x^(2)(x^(4)+1)^(1/4))dx...

int(1)/(x^(2)(x^(4)+1)^(1/4))dx

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int(1)/(x^(2)(x^(4)+1)^(3//4))dx=

int(1)/(x^(2)(x^(4)+1)^((3)/(4)))dx

int(1)/(x^(2)(x^(4)+1)^((3)/(4)))dx

If int(dx)/(x^(2)(x^(4)+1)^(3//4))=A((x^(4)+1)/(x^(4)))^(B)+c, then

int(x^(2))/(x^(4)-1)dx

int1/(x^2(x^4+1)^(3/4))dx

int1/(x^2(x^4+1)^(3/4)) dx

int(1)/(4x^(2)-1)dx

int(1)/(4x^(2)-1)dx