Express the Limit as a Definite Integral $\lim_{{\mathrm||{P} \| \rightarrow 0}} \sum_{\mathrm{k}=1}^{\mathrm{n}} \sqrt{\mathrm{c}_{\mathrm{k}}^{2}+7} \Delta \mathrm{x}_{\mathrm{k}}$

question 30

Multiple Choice

Express the limit as a definite integral.

- $\lim_{{\mathrm||{P} \| \rightarrow 0}} \sum_{\mathrm{k}=1}^{\mathrm{n}} \sqrt{\mathrm{c}_{\mathrm{k}}^{2}+7} \Delta \mathrm{x}_{\mathrm{k}}$ where $\mathrm { P }$ is a partition of $[ - 5,3 ]$

• A) \(\int _ { 1 } ^ { n } \sqrt { x ^ { 2 } + 7 } d x\)
• B) \(\int _ { - 5 } ^ { 3 } \sqrt { x ^ { 2 } + 7 } d x\)
• C) \(\int _ { - 5 } ^ { 3 } \sqrt { x + 7 } d x\)
• D) \(\int _ { 3 } ^ { - 5 } \sqrt { x ^ { 2 } + 7 } d x\)

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