Evaluate the Improper Integral $\int _ { 1 } ^ { \infty } \frac { 1 } { x ( x + 1 ) } d x$

Evaluate the improper integral $\int _ { 1 } ^ { \infty } \frac { 1 } { x ( x + 1 ) } d x$

A) $\frac { 1 } { 2 } \ln 4$

B) $\ln 4$
C) $- \ln 4$
D) $- \frac { 1 } { 3 } \ln 4$
E) $\frac { 1 } { 3 } \ln 4$
F) $\ln 2$

G) $- \frac { 1 } { 2 } \ln 4$

H) Divergent

Correct Answer:

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