MATH 100 - Fall 2012
Homework #C - Section 5.2
We will not collect this assignment, but
it will help you prepare for the
third midterm on Thursday, November 15th.
We will post solutions on
moodle by November 12th.
Note:
When computing antiderivatives, you can always check your answer, so you can
be sure it is correct. This is very useful in exams.
1. Let’s warm up with some easier antiderivatives.Zx3dxZ√x dxZ1x3dxZ(x3-2x2+ 7x-5)dxZsinx dxZcosx dxZexdxZsec2x dx2. The poor integralZ1xdxis often misunderstood. Let’s get to know her a bit better.(a) Calculate the domain and the derivative ofF1(x) = lnx.(b) Calculate the domain and the derivative ofF2(x) = ln(-x).(c) Calculate the domain and the derivative ofF3(x) = ln|x|.(d) In view of the above, what isZ1xdx?(e) Calculate the derivative ofF4(x) = ln(2x). Do we have a problem?