A) 20
B) 8
C) 10
D) 18
Correct Answer: A
Solution :
\[\int_{0}^{10\pi }{|\sin x|dx}\] \[=10\left[ \int_{0}^{\pi /2}{\sin xdx}+\int_{\pi /2}^{\pi }{\sin x\,dx} \right]\] \[=10\left[ -\cos x \right]_{0}^{\pi /2}+\left[ -\cos x \right]_{\pi /2}^{\pi }\] \[=10[1+1]=10\times 2=20\]
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