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can someone check if my working is correct i got this integral from spivak's calculus \int \frac{x^2 -1}{x^2 +1} \frac{1}{\sqrt{1+x^4}} \; dx \quad \text{Using } u^2 = x^2 + \frac{1}{x^2} u^2 = x^2 + \frac{1}{x^2} \implies 2u \; du = \left(2x - \frac{2}{x^3}\right)dx u \; du = \left(x -...