This question was assigned as part of an assignment and I do not understand how to do the 3 parts of this question as I am struggling with the concept of constants of integration. Any help with the solution would be appreciated. Thank you.

Question 1. Suppose that a, is a general constant. For this question, assume that the constants of integration are always 0. 1 {1) Compute f w dz. Your answer will be in terms of the constant a. Note that there are two cases: .1: a: a. a. = U and a. 51E 0, and you will need different techniques for the two cases. 1 {2) Sketch /s{:r+a.) with a. as a slider.) do: for a. = 1,0.5,0,U.5, and 1. (If you prefer you can create a desmos graph of it {3) As a. > U do the graphs of / d3: approach the graph of _1? Explain in your own words. Did a: a: a. a: you expect this behaviour