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) \(\frac { \sqrt { 33 } - \sqrt { 21 } } { 3 }\)

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