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:

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 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.  Study these lessons thoroughly first, then attempt the assign.

Be sure to make a Table of Values to help you sketch these two curves using all the key angles as discussed in my trig review in Lesson 1.  Note that, since pi/2 is already the coefficient inside that sine function, try x values like 0, 1, and -1 to get a sense of the points to plot.  You can get fancy and use things like x =1/3 to create sin(pi/6), too. That should also identify the points of intersection for you.  Otherwise, this is a standard Lesson 5 area problem.

Standard volume question as in Lesson 6.  Compute the two volumes in question and identify which is larger.  Get a common denominator for the two answers to help identify which is larger  Try to do this without a calculator, but check your conclusion with a calculator if necessary.

Quite similar to my Lesson 6, question 2. 

Similar to my Lesson 8, 1(g) and 1(h) in that this is what I call a J-Type integration by parts problem.