A) 20
B) 8
C) 10
D) 18
Correct Answer: A
Solution :
\[\left| \sin x \right|\] is a periodic function with period \[\pi \]. \[\therefore \int_{0}^{10\pi }{\left| \sin x \right|dx=10\int_{0}^{\pi }{\left| \sin x \right|dx}}\] \[=10\int_{0}^{\pi }{\sin xdx=10[-\cos x]_{0}^{\pi }}\] \[=10[-\cos \pi +\cos 0]\] \[=10[1+1]=20\]
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