QuestionCalculate the integral from 1 to 2 of $w^{2} \ln w \, dw$.

Studdy Solution
Further simplify the expression.
$$\int_{}^{2} w^{2} \ln w d w = \frac{8}{3} \ln2 - \frac{7}{9}$$So, the value of the integral $\int_{}^{2} w^{2} \ln w d w$ is $\frac{8}{3} \ln2 - \frac{7}{9}$.