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Integrate the rational functions((x^2+1...

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

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To solve the integral of the rational function \(\frac{(x^2+1)(x^2+2)}{(x^2+3)(x^2+4)}\), we will follow these steps: ### Step 1: Simplify the Numerator and Denominator First, we expand the numerator and denominator. **Numerator:** \[ (x^2 + 1)(x^2 + 2) = x^4 + 2x^2 + x^2 + 2 = x^4 + 3x^2 + 2 ...
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