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The Integral (lnx)3dx\int ( \ln x ) ^ { 3 } d x

Question 94

Multiple Choice

The integral (lnx) 3dx\int ( \ln x ) ^ { 3 } d x is


A) x[(lnx) 3+3(lnx) 2+6lnx6]+Cx \left[ ( \ln x ) ^ { 3 } + 3 ( \ln x ) ^ { 2 } + 6 \ln x - 6 \right] + C
B) x[(lnx) 33(lnx) 2+6lnx6]+Cx \left[ ( \ln x ) ^ { 3 } - 3 ( \ln x ) ^ { 2 } + 6 \ln x - 6 \right] + C
C) x[(lnx) 33(lnx) 26lnx6]+Cx \left[ ( \ln x ) ^ { 3 } - 3 ( \ln x ) ^ { 2 } - 6 \ln x - 6 \right] + C
D) x[(lnx) 3+3(lnx) 26lnx6]+Cx \left[ ( \ln x ) ^ { 3 } + 3 ( \ln x ) ^ { 2 } - 6 \ln x - 6 \right] + C
E) x[(lnx) 33(lnx) 2+6lnx+6]+Cx \left[ ( \ln x ) ^ { 3 } - 3 ( \ln x ) ^ { 2 } + 6 \ln x + 6 \right] + C

Correct Answer:

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