Math 151 Final Review
Review all techniques of integration (chapter 7) and all tests on testing innite
series (chapter 8).
9.1 Approximating Functions with Polynomials
Let f be an n-times dierentiable function. We can approximate f by an n-th
order Taylor
Extra Credits
1. Evaluate the integral
ln x
x 1 + (ln x)2
dx.
2. Test the series for convergence or divergence
n=1
n
n+1
n2
.
3. Find the Maclaurin series for the function
f (x) =
x
.
4 + x2
4. Identify the functions represented by the power series
(1)k
Math 150 Exam I Review
Study all homework problems and lecture notes!
6.3 Volume by Slicing
6.4 Volume by Shells
Know the formulas for the washer and the shell methods. Be able to set up
the integrals for some bounded regions. For practice, look at proble