The value of $\int_0^{\frac{16π}{3}}|sin x|dx$ is:

17/2 19/2 21/2 None of these

21/2

$\int\limits_0^{\frac{16π}{3}}|sin x|dx=5\int\limits_0^{π}|sin x|dx+\int\limits_0^{π/3}|sin x|dx=5(2)+(1-\frac{1}{2})=\frac{21}{2}$