3. (4 pts. ea.) For each problem on this page, select an appropriate integration method from the
list below. Write the letter or the name of your method. Then complete the required first
steps for your method.
Method
Required Steps
A. Elementary . . . . . . . . Write the final answer.
B. Substitution . . . . . . . Write the
= formula and compute
.
C. Parts . . . . . . . . . . . . . . Write down
and
, then compute
and
.
D. Trig Substitution . . . Write down
= trig function and compute
.
E. Partial Fractions . . . Write the correct form using letters. Do not solve for the letters.
1
(a)
9
1
(b)
2
9
4. (4 pts.) Write down the partial fractions form for the following expression:
Do not solve for the coefficients.
+ 4
2
2
(
2)
(
+ 36)
5. (10 pts.) Order these functions according to their speed to infinity.
20
2
ln
Write them in the blanks below, with the slowest function to the left.