Find ∫ cos x / (sin² x + 4) dx
Find ∫ cos x / (sin² x + 4) dx
- A. (1/2) tan⁻¹((sin x)/2) + C
- B. tan⁻¹((sin x)/2) + C
- C. log(sin² x + 4) + C
- D. sin⁻¹((cos x)/2) + C
Answer: A) (1/2) tan⁻¹((sin x)/2) + C
Explanation: Let sin x = t, then cos x dx = dt. Integral is ∫ dt / (t² + 2²) = (1/2) tan⁻¹(t/2) + C.
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