Directions: Find the integral. Show all work.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}3x^{2}sin(x)dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}si{n}^{2}xco{s}^{2}xdx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{\sqrt[\phantom{2}]{25-x^2}}{x}dx{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x^2}{x^3-x^{2}4x-4}dx$

Find the volume of the solid generated by revolving the region in the first quadrant bounded by $y=e^{2x}$ and $x-$axis, from $x=0$ to $x=ln9,$ about the line $x=-1.$ Express the answer in exact form.Directions: Find the integral. Show all work.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}3x^{2}sin(x)dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}si{n}^{2}xco{s}^{2}xdx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{\sqrt[\phantom{2}]{25-x^2}}{x}dx$