Determine the exact value of .

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Determine the exact value of ∫01x2 ln⁡(1+x3) dx\displaystyle \int_{0}^{1} x^{2}\,\ln(1+x^{3})\,dx.

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