∫(x² − 1)/(x⁴ + x² + 1) dx can be solved by dividing numerator and denominator by:
∫(x² − 1)/(x⁴ + x² + 1) dx can be solved by dividing numerator and denominator by:
- A. x²
- B. x
- C. x³
- D. x⁴
Answer: A) x²
Explanation: Divide numerator and denominator by x²: (1 − 1/x²)/(x² + 1 + 1/x²). Substitute u = x + 1/x, then du = (1 − 1/x²)dx. Integral becomes ∫du/(u²−1).
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