Express the Limit as a Definite Integral $\lim _{\mathrm||{P}|| \rightarrow 0} \sum_{k=1}^{n}\left(\sec ^{2} \mathrm{c}_{\mathrm{k}}\right) \Delta \mathrm{x}_{\mathrm{k}}$

question 100

Multiple Choice

Express the limit as a definite integral.

- $\lim _{\mathrm||{P}|| \rightarrow 0} \sum_{k=1}^{n}\left(\sec ^{2} \mathrm{c}_{\mathrm{k}}\right) \Delta \mathrm{x}_{\mathrm{k}}$ where $\mathrm { P }$ is a partition of $[ - 5 \pi , 5 \pi ]$

• A) \(\int _ { - 5 \pi } ^ { 5 \pi } \tan x d x\)
• B) \(\int _ { 5 \pi } ^ { - 5 \pi } \sec ^ { 2 } x d x\)
• C) \(\int _ { 1 } ^ { n } \sec x d x\)
• D) \(\int _ { - 5 \pi } ^ { 5 \pi } \sec ^ { 2 } x d x\)

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