What is the value of the periodic integral ∫[0 to 100π] |sin x| dx?
What is the value of the periodic integral ∫[0 to 100π] |sin x| dx?
- A. 100
- B. 50
- C. 200
- D. 0
Answer: C) 200
Explanation: The function |sin x| is periodic with period π. Thus, ∫[0 to 100π] |sin x| dx = 100 × ∫[0 to π] sin x dx = 100 × 2 = 200.
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