Evaluate the following integrals.

$a.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}xsin(x^2)dx$

$b.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(x+1)\sqrt[\phantom{2}]{2x+x^2}dx$

$c.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}se{c}^{2}xta{n}^{3}xdx$

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

$e.{\displaystyle \underset{0}{\overset{}{}}}se{c}^2(\frac{x}{4})dx$

$f.{\displaystyle \underset{1}{\overset{2}{}}}\frac{e^{\frac{1}{x}}}{x^2}dx$

$g.{\displaystyle \underset{0}{\overset{\frac{}{2}}{}}}cosxsin(sin(x))dx$