For #$35-42,$ integrate each of the following:

$35.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(3x^2-\frac{1}{x})dx$

$36.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(3\sqrt[3]{x^5}+5e^{-7x}+8)dx$

$37.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(\frac{3x^2}{x^3-3})dx$

$38.{\displaystyle \underset{0}{\overset{4}{}}}x{e}^{2x}dx$

$39.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}10x^4(x^5+18{)}^{7}dx$

$40.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x^5}{(x^6-8{)}^2}dx$

$41.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{x}^{2}lnxdx$

$42.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}x{e}^{-x^2}dx$