$(3$ pts$)2$a$)$PLEASE Briefly explain what is wrong with the following attempt to evaluate the integral ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{z}{cscz}dz$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x}{cscx}dx$

$={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}xsinxdx$

$={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}xdx*{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}sinxdx$

$=(\frac{1}{2}{x}^2)*(-cosx)C$

$=-\frac{1}{2}{x}^{2}cosxC$

$(4$ pts$)2$b$)$ Correctly evaluate the integral ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x}{cscx}dx$