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Use the Formula (lnx)ndx=x(lnx)nn(lnx)n1dx\int ( \ln x ) ^ { n } d x = x ( \ln x ) ^ { n } - n \int ( \ln x ) ^ { n - 1 } d x

Question 20

Short Answer

Use the formula (lnx)ndx=x(lnx)nn(lnx)n1dx\int ( \ln x ) ^ { n } d x = x ( \ln x ) ^ { n } - n \int ( \ln x ) ^ { n - 1 } d x to evaluate (lnx)3dx\int ( \ln x ) ^ { 3 } d x .

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