Express the Limit as a Definite Integral $\lim_{\|\mathrm{P}\| \rightarrow 0} \sum_{\mathrm{k}=1}^{\mathrm{n}} \mathrm{5c}{\mathrm{k}^{5} \Delta \mathrm{x}_{\mathrm{k}^{\prime}}}$

question 62

Multiple Choice

Express the limit as a definite integral.

- $\lim_{\|\mathrm{P}\| \rightarrow 0} \sum_{\mathrm{k}=1}^{\mathrm{n}} \mathrm{5c}{\mathrm{k}^{5} \Delta \mathrm{x}_{\mathrm{k}^{\prime}}}$ where $\mathrm { P }$ is a partition of $[ 5,12 ]$

• A) \(\int _ { 12 } ^ { 5 } 5 x ^ { 5 } d x\)
• B) \(\int _ { 1 } ^ { n } 5 x d x\)
• C) \(\int _ { 5 } ^ { 12 } 25 x ^ { 4 } d x\)
• D) \(\int _ { 5 } ^ { 12 } 5 x ^ { 5 } d x\)

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