∫x sin x dx is:
∫x sin x dx is:
- 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: Take u = x, dv = sin x dx. du = dx, v = −cos x. ∫x sin x dx = −x cos x − ∫(−cos x)dx = −x cos x + sin x + C.
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