Evaluate ∫x2ln(x) dx\int x^2 \ln(x) \, dx∫x2ln(x)dx using integration by parts.
x33ln(x)−x39+C\frac{x^3}{3} \ln(x) - \frac{x^3}{9} + C3x3ln(x)−9x3+C
x33ln(x)−x33+C\frac{x^3}{3} \ln(x) - \frac{x^3}{3} + C3x3ln(x)−3x3+C
13x3(ln(x)−13)+C\frac{1}{3} x^3 (\ln(x) - \frac{1}{3}) + C31x3(ln(x)−31)+C
x3ln(x)−x3+Cx^3 \ln(x) - x^3 + Cx3ln(x)−x3+C