QUIZ # 5 Problems

(An answer, even if “correct” but lacking work, will NOT receive full credit!)

1. Find the partial fraction decomposition for the rational function

2. Use the partial fraction decomposition of the functions to evaluate the integral. Solving using a formula is not acceptable.

3. Evaluate each of the following integrals, using a trigonometric substitution. Do not forget the back substitution. Solving using other methods is not acceptable.

(a)

(b)

(c)

4. First complete the square, make the appropriate substitutions, and evaluate the integral:

5. Evaluate each of the following integrals, using the hints.

(a)	(Hints: substitution & identity)

(b)	(Hints: substitution & identity)

(c)	(Hints: )

(d) (Hints:)