Don't have my book or audio lectures? You can download a sample containing some of these lessons here:

Did you read my tips on how to study and learn Math 1700?  If not, here is a link to those important suggestions:

Did you see my tips for Assignment 1? Click here.

Did you see my tips for Assignment 2? Click here.

Did you see my tips for Assignment 3? Click here.

These are tips for the first assignment in the Distance/Online Math 1700 course, but I strongly recommend that you do this assignment as homework even if you are taking the classroom lecture section of the course.  These assignments are very good (and challenging) practice.  It is possible that you are doing the topics in a different order in the classroom lecture sections, so you may need to wait until later before tackling this assignment.

Here is a link to the actual assignment, in case you don't have it:

Study Lesson 12 (Improper Integrals and the Comparison Theorem) and Lesson 13 (Arc Length and Surface Area) from my Calculus 2 book to prepare for this assignment.

These are all pretty standard improper integrals as shown in Lesson 12.  You will need to use u substitution to solve most of these integrals, so I suggest you solve the indefinite integral first using u sub, then deal with the improper definite integral only once you know the solution to the antiderivative.  Note that part (c) requires integration by parts.

I don't anticipate any real difficulties here if you have studied Lesson 13, question 1.  Especially, part (c).  Note that both of these integrals are best solved as dy integrals, so make sure you are using the y coordinates for your endpoints.

Like my Lesson 13, questions 2 and 3.

Like my Lesson 13, questions 2 and 3.