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Use a Table of Integrals to Find the Indefinite Integral (ln3x)2dx\int ( \ln 3 x ) ^ { 2 } d x

Question 35

Multiple Choice

Use a table of integrals to find the indefinite integral (ln3x) 2dx\int ( \ln 3 x ) ^ { 2 } d x .


A) x[22ln(3x) +(ln3x) 2]+Cx \left[ 2 - 2 \ln ( 3 x ) + ( \ln 3 x ) ^ { 2 } \right] + C
B) x[2ln(3x) +(ln3x) 2]+Cx \left[ 2 \ln ( 3 x ) + ( \ln 3 x ) ^ { 2 } \right] + C
C) 3x[2+2ln(3x) +(ln3x) 2]+C3 x \left[ 2 + 2 \ln ( 3 x ) + ( \ln 3 x ) ^ { 2 } \right] + C
D) x[22ln(3x) (ln3x) ]2+Cx [ 2 - 2 \ln ( 3 x ) - ( \ln 3 x ) ] ^ { 2 } + C
E) 3x[2ln(3x) +(ln3x) ]2+C3 x [ 2 \ln ( 3 x ) + ( \ln 3 x ) ] ^ { 2 } + C

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