∫₀^π x cos x dx equals:
∫₀^π x cos x dx equals:
- A. −2
- B. −1
- C. 0
- D. 2
Answer: A) −2
Explanation: Integration by parts: u = x, dv = cos x dx. ∫ x cos x dx = x sin x + cos x. From 0 to π: (π sin π + cos π) − (0 + cos 0) = (0 − 1) − 1 = −2.
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