Write the Following Limit as a Definite Integral on the Interval

question 17

Multiple Choice

Write the following limit as a definite integral on the interval $[ 2,8 ] \text { where } c _ { i } \text { is any }$ point in the $i ^ { \text {th } } \text { subinterval. }$ $$\lim _ { | \Delta x | \rightarrow 0 } \sum _ { i = 1 } ^ { n } \sqrt { 3 c _ { i } ^ { 2 } + 4 c _ { i } } \Delta x _ { i }$$

• A) \(\int _ { 2 } ^ { 8 } \sqrt { 3 x ^ { 2 } + 4 x } d x\)
• B) \(\int _ { 2 } ^ { 8 } \sqrt { 9 x ^ { 2 } + 16 x } d x\)
• C) \(\int _ { 8 } ^ { 2 } \sqrt { 3 x ^ { 2 } + 4 x } d x\)
• D) \(\int _ { 2 } ^ { 8 } \sqrt { 3 x + 4 } d x\)
• E) \(\int _ { 2 } ^ { 8 } \sqrt { 6 x + 4 } d x\)

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Definitions:

Survey Research

A research method involving the collection of data from a predefined group of respondents to gain information and insights on various topics of interest.

Wording

The choice and arrangement of words in speech or writing, which can significantly affect communication effectiveness and interpretation.

Cognitive Dissonance

A psychological phenomenon where there is discomfort or distress from holding two conflicting beliefs or attitudes.

Cognitive Dissonance

The mental discomfort experienced by a person who holds two or more contradictory beliefs, ideas, or values at the same time.