Evaluate: ∫ dx / √(9 - 25x²)
Evaluate: ∫ dx / √(9 - 25x²)
- A. (1/5) sin⁻¹(5x/3) + C
- B. sin⁻¹(5x/3) + C
- C. (1/3) sin⁻¹(5x/3) + C
- D. log|5x + √(9-25x²)| + C
Answer: A) (1/5) sin⁻¹(5x/3) + C
Explanation: Take 25 out of the root: (1/5) ∫ dx / √((3/5)² - x²) = (1/5) sin⁻¹(x / (3/5)) = (1/5) sin⁻¹(5x/3) + C.
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