Express the Limit as a Definite Integral $\lim_{||{\mathrm{P} \| \rightarrow 0}} \sum_{\mathrm{k}=1}^{\mathrm{n}} \frac{10}{\mathrm{c}_{\mathrm{k}}^{7}} \Delta \mathrm{x}_{\mathrm{k}}$

question 71

Multiple Choice

Express the limit as a definite integral.

- $\lim_{||{\mathrm{P} \| \rightarrow 0}} \sum_{\mathrm{k}=1}^{\mathrm{n}} \frac{10}{\mathrm{c}_{\mathrm{k}}^{7}} \Delta \mathrm{x}_{\mathrm{k}}$ where $\mathrm { P }$ is a partition of $[ 4,5 ]$

• A) \(\int _ { 4 } ^ { 5 } \frac { 10 } { x ^ { 7 } } d x\)
• B) \(\int _ { 1 } ^ { n } \frac { 10 } { x } d x\)
• C) \(\int _ { 4 } ^ { 5 } \frac { 10 } { x } d x\)
• D) \(\int _ { 5 } ^ { 4 } \frac { 10 } { x ^ { 7 } } d x\)

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