For the integral

MATHEMATICS · Single correct · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

For the integral ∫x(ln⁡x)2 dx\displaystyle\int x(\ln x)^2\,dx, which choice of uu is most likely to produce an antiderivative with the least amount of algebraic work? (a) u=xu = x (b) u=(ln⁡x)2u = (\ln x)^2 (c) u=x(ln⁡x)2u = x(\ln x)^2 (d) u=ln⁡xu = \ln x

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