Evaluate:

$1.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}si{n}^{2}xdx$

$2.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}co{s}^{5}ydy$

$3.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}si{n}^{7}xco{s}^{5}xdx$

$4.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}si{n}^{4}xco{s}^{4}xdx$

$5.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{dx}{\sqrt[\phantom{2}]{1+8x}}$

$6.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{(5-x)dx}{4x^2+1}$

$7.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{dv}{(2-v{)}^3}$

$8.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{l{n}^{2}x}{x}dx$

$9.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{dz}{\sqrt[\phantom{2}]{4-z^2}}$

$10.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}y{e}^{-y^2}dy$

Please help $meto$ answer these $10$ questions. $If$ possible include the step $by$ step process.