Evaluate the integral.
$\int _ { 0 } ^ { 4 } \frac { x } { x + 8 } d x$
A) $12 - 8 \ln 12 + \ln \sqrt { 8 }$
B) $\frac { 1 } { 8 \ln 12 } - \ln \sqrt { 8 }$
C) $4 - 12 \ln 8 + \sqrt { 8 } \ln 16$
D) $4 - 8 ( \ln 12 - \ln 8 )$
E) None of these

Question

Quizplus · Accepted Answer

The integral can be solved using substitution and partial fraction decomposition, leading to the result $4 - 8 (\ln 12 - \ln 8)$.

Evaluate the Integral ∫04xx+8dx\int _ { 0 } ^ { 4 } \frac { x } { x + 8 } d x∫04​x+8x​dx

Evaluate the Integral $\int _ { 0 } ^ { 4 } \frac { x } { x + 8 } d x$