The value of ∫(dx)/(x² + 4) is:
The value of ∫(dx)/(x² + 4) is:
- A. (1/2)tan⁻¹(x/2) + C
- B. 2tan⁻¹(x/2) + C
- C. tan⁻¹(x/2) + C
- D. (1/4)tan⁻¹(x/2) + C
Answer: A) (1/2)tan⁻¹(x/2) + C
Explanation: Standard form ∫dx/(x² + a²) = (1/a)tan⁻¹(x/a) + C. Here a² = 4, so a = 2. Result = (1/2)tan⁻¹(x/2) + C.
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