Please solve and give workings for each, will like. Find each of the following integrals:

$($a$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\sqrt[\phantom{2}]{x}(1-3x{)}^{2}dx$

$($b$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{(e^{2x}-1{)}^3}{2e^{7x}}dx$

$($c$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{3x^4-x^2+x-3}{x+1}dx$