Mathematics

Problem

For the integral

\displaystyle \int x^{3}(\ln x)^{2}\,dx

, four possible selections for the factor to be differentiated are listed below. Which selection is likely to require the fewest total differentiations before the factor vanishes? a) Differentiate

(\ln x)^{2}

b) Differentiate

x^{2}\ln x

c) Differentiate

x^{3}

d) Differentiate

x(\ln x)^{2}

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