Don't have my book or audio lectures? AUDIO ON SALE FOR ONLY $20! 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 1 (Inverse Trigonometric Functions), Lesson 2 (The Fundamental Theorem of Calculus), and Lesson 3 (Riemann Sums) from my Calculus 2 book to prepare for this assignment.

You will note that I teach the topics in Lessons 2 and 3 of my book in the opposite order to what your assignment is doing. That's because Lesson 3 really should be taught before Lesson 2 since it is introducing the concept of integration. However, it is such an onerous method, and rarely put on exams, so I prefer to introduce students to the real way we will solve antiderivatives and integrals first, then back up to give the background.

OK. A bit insulting, but whatever.

Extremely similar to my Lesson 3, question 1(a). But, you are only asked to do the right Riemann Sum, whereas I am doing both Left and Right Riemann sums.

Since they don't specify a specific number of intervals, this must be a complete Riemann Sum similar to my Lesson 3, question 3.  You must use this Riemann Sum method for this question!

Do note that you can check your answer by solving the appropriate definite integral using the method I teach in Lesson 2 (that's the method using the Fundamental Theorem of Calculus).  Do this question open book.  I am confident you would never have to use this method on an exam.

The wording here is confusing. However, I would take this to mean that you should do exactly the same thing as you did in question 3 above.  The Riemann Sum method is the definition of the definite integral.  Again, you can use the much simpler method I teach in Lesson 2 as a check.

Now you are exploiting the Fundamental Theorem of Calculus to solve these antiderivatives, similar to the methods illustrated in my Lesson 2, question 1.

Now you are exploiting the Fundamental Theorem of Calculus to solve these derivatives, similar to the methods illustrated in my Lesson 2, question 2.