Evaluate: ∫ dx / (x² + 2x + 2)
Evaluate: ∫ dx / (x² + 2x + 2)
- A. tan⁻¹(x+1) + C
- B. log(x² + 2x + 2) + C
- C. 1/2 tan⁻¹(x+1) + C
- D. -1/(x+1) + C
Answer: A) tan⁻¹(x+1) + C
Explanation: Complete the square: x² + 2x + 2 = (x+1)² + 1. ∫ dx / ((x+1)² + 1) = tan⁻¹(x+1) + C.
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