alleryEvaluate $\displaystyle\int_0^{10\pi} |\sin x|\, dx$:
A$0$ (odd function)
B$20$
C$10\pi$
D$2$
Answer & Solution
Correct answer: B. $20$
$|\sin x|$ has period $\pi$.
Over one period, $\int_0^\pi \sin x\, dx = 2$.
**Ten periods:** $10 \times 2 = 20$.
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