Hello Please assist with the following set of questions, please provide easy to read solutions

1. (3 points) Find the average value of f (x) = x2 on the interval [-1, 1]. Simplify your answer as much as possible. 2. (3 points) If income in a certain country has the Lorenz curve L(x) = x2, find it's Gini index. Simplify as much as possible. 3. (4 points) Find the indefinite integral S(4x + 2)ex +*dx using a substitu tion