Evaluate the Integral $\int \frac { e ^ { - 0.05 x } } { 1 - e ^ { - 0.05 x } } \mathrm {~d} x$

Evaluate the integral.
$\int \frac { e ^ { - 0.05 x } } { 1 - e ^ { - 0.05 x } } \mathrm {~d} x$

A) $\frac { \ln \left| 1 - e ^ { - 0.05 x } \right| } { 20 } - x + C$
B) $- 20 \ln \left| 1 - e ^ { - 0.05 x } \right| + x + C$
C) $20 \ln \left| 1 - e ^ { - 0.05 x } \right| - x + C$
D) $0.05 \ln \left| 1 - e ^ { - 0.05 x } \right| + x + C$
E) $- 0.05 \ln \left| 1 - e ^ { - 0.05 x } \right| - x + C$

Correct Answer:

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