Use a Table of Integrals with Forms Involving $e ^ { u }$

question 30

Multiple Choice

Use a table of integrals with forms involving $e ^ { u }$ to find the integral. $\int \frac { - 7 } { 1 + e ^ { - 6 x } } d x$

• A) \(7 x - \frac { 7 } { 6 } \ln \left( 1 - e ^ { - 6 x } \right) + C\)
• B) \(7 x - \frac { 7 } { 6 } \ln \left( 1 + e ^ { - 6 x } \right) + C\)
• C) \(- 7 x + \frac { 7 } { 6 } \ln \left( 1 + e ^ { - 6 x } \right) + C\)
• D) \(- 7 x + \frac { 7 } { 6 } \ln \left( 1 - e ^ { - 6 x } \right) + C\)
• E) \(- 7 x - \frac { 7 } { 6 } \ln \left( 1 + e ^ { - 6 x } \right) + C\)

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