∫₀^π |cos x| dx equals:
∫₀^π |cos x| dx equals:
- A. 0
- B. 1
- C. 2
- D. 4
Answer: C) 2
Explanation: |cos x| is positive. ∫₀^π |cos x| dx = ∫₀^(π/2) cos x dx + ∫(π/2)^π (−cos x) dx = [sin x]₀^(π/2) + [−sin x](π/2)^π = (1−0) + (0−(−1)) = 2.
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