Find ∫ x sin x dx
Find ∫ x sin x dx
- A. -x cos x + sin x + C
- B. x cos x - sin x + C
- C. x sin x + cos x + C
- D. -x sin x - cos x + C
Answer: A) -x cos x + sin x + C
Explanation: By parts: u = x, dv = sin x dx. du = dx, v = -cos x. ∫ u dv = uv - ∫ v du = -x cos x - ∫ (-cos x) dx = -x cos x + sin x + C.
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