Evaluate the integral using integration by parts with the indicated choices of u and dv. (use c for the constant of integration.) 7x2 ln(x) dx; u

Answer:[tex]\int 7x^{2} ln(x) dx \\= ln(x) ( \frac{7x^{3}}{3})-\int( \frac{7x^{3}}{3}) \frac{1}{x} dx \\= \frac{7x^{3}}{3} ln(x)- \frac{7}{3} \int x^{2} dx \\= \frac{7x^{3}}{3}ln(x)- \frac{7x^{3}}{9} +c\\= \frac{7x^{3}}{3}(ln(x)- \frac{1}{3} )+c [/tex]

Answer: [tex] \frac{7x^{3}}{3}(ln(x)- \frac{1}{3})+c [/tex]