The textbook teaches integration in an odd order. Sometimes, topics are introduced before we have the tools to do them. For example, the final question is on Income Streams (6.5), but requires Integration by Parts (6.7) to complete. This assignment is full of questions that pull from questions raised in Chapters 5 and 6 before we had the tools (Computing integrals using definite integrals) to solve them exactly.

1. Compute the average value of y = (x) over the interval 0 x 16.

2. A particle has velocity v(t) = t² 3t+ 2 feet per second. How far has the particle traveled over the interval 0 t 3. What is the net change in position over that interval?

3. Compute the area between y = x² 2 and y = 4x + 3