Express the Limit as a Definite Integral $\lim_{\|\mathrm{P}\| \rightarrow 0} \sum_{\mathrm{k}=1}^{\mathrm{n}} \mathrm{c}{\mathrm{k}^{6} \Delta \mathrm{x}_{\mathrm{k}^{\prime}}}$

question 46

Multiple Choice

Express the limit as a definite integral.

- $\lim_{\|\mathrm{P}\| \rightarrow 0} \sum_{\mathrm{k}=1}^{\mathrm{n}} \mathrm{c}{\mathrm{k}^{6} \Delta \mathrm{x}_{\mathrm{k}^{\prime}}}$ where $\mathrm { P }$ is a partition of $[ - 1,5 ]$

• A) \(\int _ { - 1 } ^ { 5 } x ^ { 6 } d x\)
• B) \(\int _ { - 1 } ^ { 5 } 6 x ^ { 5 } d x\)
• C) \(\int _ { 1 } ^ { n } x d x\)
• D) \(\int _ { 5 } ^ { - 1 } x ^ { 6 } d x\)

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