Math 162 Practice Test #2
Name _
1. Which of the following methods would be the best choice to evaluate each of the following
integrals?
Basic Substitution
Integration by Parts
Partial Fraction Decomposition
Trig Substitution
Rewrite using trig identities
Math 162 Practice Test #3
Please show all work on your test. Answers only without appropriate work or explanations will not
receive credit.
1. Tell whether each of the following statements are true or false. If the statement is true, state the test
or res
Math 162 Differentiation Rules
Special
General
d n
x = nx n 1
dx
d
1
ln x =
dx
x
d x
e = ex
dx
d
1
log b x =
dx
x ln b
d x
b = (ln b)b x
dx
f (x) g(x) f (x) f (x)g(x)
g(x) =
[ g(x)]2
[ f (g(x)] =
f (g(x)g(x)
Inverse Trigonometric
Trigonometric
d
dx
d
dx
Math 162 Practice Test #1
Name _
1. Find the area of the shaded region shown below. The boundary curves are y = x 3 3x and y = x and
the scale on both axes is 1.
2. Find the volume of the solid generated by revolving the region enclosed by the curve y = 4