Simplify the following expression. + dp d | dx p2 5 교 + d dp || dx pi 5 Use symmetry to evaluate the following integral. 9 (1+x+x2 + x®) dx ? -9 9 S (1+x+x2 + x2) dx = (Type an integer or a simplified fraction.) -9 Find the average value of the following function over the given interval. Draw a graph of the function and indicate the average value. f(x) = on [1, e] 5 The average value of the function f(x) = (Type an exact answer.) on [1, e) is f =