Evaluate the Following Definite Integral $\int _ { 1 } ^ { 4 } \frac { 1 } { \sqrt { 6 z + 7 } } d z$

question 10

Multiple Choice

Evaluate the following definite integral. $\int _ { 1 } ^ { 4 } \frac { 1 } { \sqrt { 6 z + 7 } } d z$ Use a graphing utility to check your answer.

• A) \(\frac { \sqrt { 31 } - \sqrt { 13 } } { 6 }\)
• B) \(\frac { \sqrt { 31 } - \sqrt { 13 } } { 3 }\)
• C) \(\frac { \sqrt { 31 } + \sqrt { 13 } } { 3 }\)
• D) \(\frac { \sqrt { 31 } + \sqrt { 13 } } { 6 }\)
• E) \(\frac { \sqrt { 13 } - \sqrt { 31 } } { 3 }\)

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