I would like to understand how to solve this type of problem. I would appreciate a step by step. Thank you! The is no additional information to the problem.

Using only geometric computations of areas, compute the integral of a linear function: I) / (um: + q)d:r . fl (Hint:) You have to distinguish 4 possibilities: 1. lWhen the linear function is always positive between a and b. 2. When the linear function is always negative between a and b. 3. When the linear function is negative at a and positive at b. 4. When the linear function is positive at a and negative at b. Split each of the 4 possibilities in two cases: when a b. There are in total 8 cases. For each of the 8 cases, draw a picture of the function and draw the areas involved in the computation of the integral. Shade the areas in green or red, depending if they add or subtract to the integral. Then compute the integral by geometrically evaluating the shaded areas In each of the 8 cases, you will get a formula where the integral depends on a, b, m and (1. Verify that the formula is the same in all the 8 cases