Express the limit as a definite integral on the given interval.
$$\lim _ { n \rightarrow \infty } \sum _ { i = 1 } ^ { n } \left( 6 r _ { i } \sin r _ { i } \right) \Delta r , \quad [ 6,12 ]$$

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The Answer of Express the limit as a definite integral on the given interval.
$$\lim _ { n \rightarrow \infty } \sum _ { i = 1 } ^ { n } \left( 6 r _ { i } \sin r _ { i } \right) \Delta r , \quad [ 6,12 ]$$

Express the Limit as a Definite Integral on the Given lim⁡n→∞∑i=1n(6risin⁡ri)Δr,[6,12]\lim _ { n \rightarrow \infty } \sum _ { i = 1 } ^ { n } \left( 6 r _ { i } \sin r _ { i } \right) \Delta r , \quad [ 6,12 ]n→∞lim​i=1∑n​(6ri​sinri​)Δr,[6,12]

Express the Limit as a Definite Integral on the Given $\lim _ { n \rightarrow \infty } \sum _ { i = 1 } ^ { n } \left( 6 r _ { i } \sin r _ { i } \right) \Delta r , \quad [ 6,12 ]$