Here are some integrals you should be able to do using various techniques we have learned.
Two of them are too complicated and difficult to be on the test, but I'll give you hints (and answers) for them anyway:
To integrate "Sqrt[x^2-49]" or "Sqrt[x^2+9]", you can trig sub, get something with "Sec^3", which can be written as "(1+Tan^2)Sec", integrate by parts, and sub "x" back.   You'll have to look up the integral of "Sec" or remember the trick.   Whew!
Here are the integrals with one or more acceptable answers.

for calculating areas with boundaries given by functions of x or y
for calculating volumes of solids by slicing
for calculating volumes of solids of revolution by slicing

practice recognizing geometric & other series with answers

more series practice with answers

integration techniques
basic substitution
trig substitution
integration by parts
numerical integration
integration applications
length of a curve
areas bounded by curves
volume by slices
volume by slices--solids of revolution
probability basics
testing convergence of series
special types of series
"convergence happens in the tail"
divergence test ("test zero")
basic comparison test
limit comparison test
integral test

Herb Ling / Math / ACC