You must show all your steps, including dividing out, finding the $A,B,C$ for the partial fractions, changing

the $limitsof$ integration $on$ definite integrals, using appropriate notation for evaluating $limits.$

Partial Fractions Evaluate ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x^3+6x^2+5x+23}{x^2+5x+6}dx(Divide$ out first, show ALL work $to$ divide out,

factor, find coefficients, etc. Check your work $is$ clearly presented before submitting.$)$

Substitution Evaluate ${\displaystyle \underset{0}{\overset{\frac{}{9}}{}}}si{n}^3(3t)dt$

Improper Integral Evaluate ${\displaystyle \underset{5}{\overset{}{}}}\frac{dx}{x^2-3x}(Use$ partial fractions and $limits.$ Show work.$)$