Solved

Use the Formula ∫(ln⁡x)ndx=x(ln⁡x)n−n∫(ln⁡x)n−1dx\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 ∫(ln⁡x)ndx=x(ln⁡x)n−n∫(ln⁡x)n−1dx\int ( \ln x ) ^ { n } d x = x ( \ln x ) ^ { n } - n \int ( \ln x ) ^ { n - 1 } d x to evaluate ∫(ln⁡x)3dx\int ( \ln x ) ^ { 3 } d x .

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