Did you see my tips for Assignment 2?

These are tips for the 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:

These are all pretty complicated integrals to solve.  Here are some hints:

Part (a) is pretty standard stuff if you have studied Lesson 9.

Part (b) is also Lesson 9.  Complete the Square.

Part (c) is obviously a count-down type from Lesson 10. 

Part (e) is a really challenging integral from Lesson 10.  Since you have no zeros, you can't use cover up to solve any of the four unknown constants.  You could create a system of equations by subbing in values of x, but that will create 4 equations with 4 unknowns!

This problem works best if you, instead, leave the x values unsubstituted and instead just get rid of the denominators on both sides of the equation and multiply all the terms out on the right hand side.  You will get something like:

Then, compare like terms.  Which is to say, compare the x-cubed term on the left hand side to the x-cubed term on the right hand side to solve an unknown.  Then compare the x-squared term on the left to the x-squared term on the right to solve another unknown.  Like so:

Continue like this to set up equations for all the x terms and for all the constant terms (the terms that don't have an x).

It still isn't easy, but you will be able to sort the resulting four equations into groups where you have just 2 equations with 2 unknowns at least.

I don't anticipate any real difficulties here if you have studied the L'Hopital's Rule lesson.