Evaluate the definite integrals using substitution

$1.){\displaystyle \underset{0}{\overset{2}{}}}\frac{2x}{x^2+1}dx$

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

$3.){\displaystyle \underset{0}{\overset{1}{}}}6x^2(2x^3-1{)}^{4}dx$

$4.){\displaystyle \underset{-1}{\overset{1}{}}}2x{e}^{x^2+1}dx$

$5.){\displaystyle \underset{-1}{\overset{0}{}}}y(2y^2-3{)}^{5}dy$

$6.){\displaystyle \underset{1}{\overset{4}{}}}\frac{2}{(2p+1{)}^2}dp$

$7.){\displaystyle \underset{1}{\overset{2}{}}}8e^{5x-2}dx$

$8.){\displaystyle \underset{3}{\overset{6}{}}}\frac{2}{x-2}dx$