Evaluate the Following Definite Integral $\int _ { 3 } ^ { 5 } \frac { 1 } { \sqrt { 6 t + 3 } } d t$

question 81

Multiple Choice

Evaluate the following definite integral. $\int _ { 3 } ^ { 5 } \frac { 1 } { \sqrt { 6 t + 3 } } d t$ Use a graphing utility to check your answer.

• A) \(\frac { \sqrt { 33 } - \sqrt { 21 } } { 6 }\)
• B) \(\frac { \sqrt { 21 } - \sqrt { 33 } } { 3 }\)
• C) \(\frac { \sqrt { 33 } + \sqrt { 21 } } { 6 }\)
• D) \(\frac { \sqrt { 33 } + \sqrt { 21 } } { 3 }\)
• E) \(\frac { \sqrt { 33 } - \sqrt { 21 } } { 3 }\)

---

Definitions:

Postconventional

A stage of moral development in which individuals make judgments based on universal principles and the rights of others rather than convention.

Moral Development

Refers to the processes through which individuals acquire and understand moral standards and behaviors.

Kohlberg

A psychologist known for his theory of moral development, which describes how moral reasoning matures through stages over a person's lifetime.

Erikson

Erikson refers to Erik Erikson, a developmental psychologist known for his theory on the psychosocial development of humans, highlighting eight stages from infancy to adulthood.