Integrate Each Using Various Integral Techniques

$1.){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}si{n}^4(x)co{s}^7(x)dx$

$2.){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{\sqrt[\phantom{2}]{x^2-9}}{x}dx,x>3$

$3.){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}4x{5}^{3x^2}dx$

$4.){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{5}{1-cosx}dx$

$5.)$ Find the rectangular equation of the line tangent to the curve given the parametric equations $($Solve for $"y")$

$x=2+3t^2,y=4-8t,$ when $t=3$