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Integrate the functions1/(x^2(x^4+1)^(3/...

Integrate the functions`1/(x^2(x^4+1)^(3/4))`

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To solve the integral \( \int \frac{1}{x^2 (x^4 + 1)^{3/4}} \, dx \), we will follow these steps: ### Step 1: Rewrite the Integral We start by rewriting the integral in a more manageable form: \[ \int \frac{1}{x^2 (x^4 + 1)^{3/4}} \, dx = \int \frac{1}{x^2} \cdot \frac{1}{(x^4 + 1)^{3/4}} \, dx \] ...
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