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?

These are tips for the second 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:

Note that you need to study Lesson 5 (Area Between 2 Curves), Lesson 6 (Volumes), Lesson 7 (Integrals of Trigonometric Functions), and Lesson 8 (Integration by Parts) from my Calculus 2 book to prepare for this assignment!  I think you should find this assignment fairly straightforward if you do thoroughly study and do all the Practise Problems I give you in these lessons.

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

Review Lesson 1 in my book if you need assistance graphing and finding the points of intersection for these two trig functions.  Be careful, you should discover there are three separate regions of area between x=0 and x=2pi, so you will need to set up three integrals.

This is quite similar to my Lesson 6, question 1(b).  To sketch the graph, just plot the endpoints of each section.

This is quite similar to my Lesson 6, question 2.  To sketch the graph, just plot the endpoints of each section.  Be careful to find both the x and y coordinates of your points of intersection and use the correct numbers.  A "dx" integral requires the x values for endpoints.  A "dy" integral requires the y-values for endpoints.

These integrals are all pretty straightforward if you have studied Lessons 7 and 8 of my book.

Note, in 4(a) that k is just an unknown coefficent.  kx is just like 4x or something.

Note, in 4(d) that it will be quite a mess and will take a few steps to complete.