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Use a Table of Integrals to Find the Indefinite Integral lnxx(8+5lnx)dx\int \frac { \ln x } { x ( 8 + 5 \ln x ) } d x

Question 25

Multiple Choice

Use a table of integrals to find the indefinite integral lnxx(8+5lnx) dx\int \frac { \ln x } { x ( 8 + 5 \ln x ) } d x .


A) 125[5lnx8ln8+5lnx]+C\frac { 1 } { 25 } [ 5 \ln x - 8 \ln | 8 + 5 \ln x | ] + C
B) [8lnx5ln8+5lnx]+C[ 8 \ln x - 5 \ln | 8 + 5 \ln x | ] + C
C) 125[5lnx+8ln8+5lnx]+C\frac { 1 } { 25 } [ 5 \ln x + 8 \ln | 8 + 5 \ln x | ] + C
D) ln13x+C\ln 13 x + C
E) 113lnx+C\frac { 1 } { 13 } \ln x + C

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