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MTH 122 — Calculus II
Essex County College — Division of Mathematics and Physics
1
Lecture Notes #6 — Sakai Web Project Material
1 Select Solutions
1. Show.
2
Z
tan
x
d
x
= ln

sec
x

+
C
Work:
This was done in class.
2. Show.
3
Z
sec
x
d
x
= ln

sec
x
+ tan
x

+
C
Work:
This was done in class.
3. Show.
4
Z
csc
x
d
x
= ln

csc
x

cot
x

+
C
Work:
This was done in class.
Yes, I believe that above problems are pretty straight forward. Everyone should be able
to do these—but please don’t try to memorize them. Reminds me of how a good game
player works, they don’t memorize moves, but they instead recognize situations. So I think
if you take the hints as given—but feel free to try your own suggestions—you’ll at least
move forward, albeit even if you perpetually get stuck! Getting stuck means you’re at
least trying!
Okay, please try your
level best
before looking at my work on the next page.
1
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 Spring '10
 Ban
 Calculus, Division

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