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

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

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To solve the integral \(\int \frac{3x}{1 + 2x^4} \, dx\), we can follow these steps: ### Step 1: Substitution Let \(t = x^2\). Then, we differentiate \(t\) with respect to \(x\): \[ \frac{dt}{dx} = 2x \quad \Rightarrow \quad dt = 2x \, dx \quad \Rightarrow \quad x \, dx = \frac{dt}{2} \] ...
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