alleryStart learning →Evaluate $\displaystyle\int_0^{10\pi} |\sin x|\, dx$:
- $0$ (odd function)
- $20$
- $10\pi$
- $2$
Show answer and solution
Correct answer: B. $20$
$|\sin x|$ has period $\pi$.
Over one period, $\int_0^\pi \sin x\, dx = 2$.
**Ten periods:** $10 \times 2 = 20$.