Write the Following Limit as a Definite Integral on the Interval

question 145

Multiple Choice

Write the following limit as a definite integral on the interval [2 , 5], where ci is any point in the ith subinterval. $\lim _ { | \Delta x | \rightarrow 0 } \sum _ { i = 1 } ^ { n } \left( - 7 c _ { i } + 2 \right) \Delta x _ { i }$

• A) \(\int _ { 2 } ^ { 5 } \left( - 7 x ^ { 2 } + 2 x \right) d x\)
• B) \(\int _ { 2 } ^ { 5 } \left( - \frac { 7 } { 2 } x ^ { 2 } - 2 x \right) d x\)
• C) \(\int _ { 2 } ^ { 5 } ( - 7 x + 2 ) d x\)
• D)\(\int _ { 5 } ^ { 2 } ( - 7 x + 2 ) d x\)
• E) \(\int _ { 2 } ^ { 5 } ( - 7 x - 2 ) d x\)

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Definitions:

Line L

A specific reference to a theoretical line or concept, often used in the context of graphs or models in economics or sciences. (If this isn't a real reference, this would be NO.)

Income Received

The total income or earnings received by an individual or entity within a specific period, including all sources.

Middle Three Quintiles

Refers to the second, third, and fourth quintiles of a distribution, often used in economic analysis to describe the middle segment of income earners in a population.

Income Received

The total earnings obtained by households, including wages, salaries, benefits, and investment income.