Evaluate ∫x3ln(x) dx\int x^3 \ln(x) \,dx∫x3ln(x)dx using integration by parts. Which of the following is correct?
x4ln(x)−x4+Cx^4 \ln(x) - x^4 + Cx4ln(x)−x4+C
x416ln(x)−x44+C\frac{x^4}{16} \ln(x) - \frac{x^4}{4} + C16x4ln(x)−4x4+C
x44ln(x)−x416+C\frac{x^4}{4} \ln(x) - \frac{x^4}{16} + C4x4ln(x)−16x4+C
x44ln(x)−x44+C\frac{x^4}{4} \ln(x) - \frac{x^4}{4} + C4x4ln(x)−4x4+C