$(30$ pts$)$ Evaluate the following: $5\mathrm{.}2/56,4-$review$/21,5-$review$/835\mathrm{.}2/59$

a$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{dt}{8-3t}d$t

b$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x+2}{\sqrt[\phantom{2}]{x^2+4x}}dx$

c$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{e^{\sqrt[\phantom{2}]{x}}}{\sqrt[\phantom{2}]{x}}dx$

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

e$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{-4}{\sqrt[\phantom{2}]{1-x^2}}dx$