Practicing integration techniques:

Solve the following integrals using techniques from class.

$(a){\displaystyle \underset{1}{\overset{2}{}}}xlnxdx$

$(c){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}lnxdx$

$(e){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{4x-6x^2}{x^2-x^3}dx$

$(b){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}6tan(3x)dx$

$(d){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x-2}{x^2-9}dx$

$(f){\displaystyle \underset{1}{\overset{}{}}}{x}^{-\frac{4}{5}}dx$