Question $9.$

Evaluate the following integration:

a$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{2x^3-3x}{4x}dx$

b$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(\frac{2m^2+1}{m})dm$

For the following definite integration:

a$)$ Evaluate ${\displaystyle \underset{0}{\overset{\frac{x}{2}}{}}}3sin2xdx$

b$)$ Determine the area between the curve $y=x^3-2x^2-8x$ and the $x-$axis in the figure here belou