Question: 1. Use the Fundamental Theorem to determine the value of b if the area under the graph of f(x)=8x between x = 1 and x = b is equal to 192. Assume b > 1.
2. Use the Fundamental Theorem to find the average value of f(x) = x2 + 1 on the interval x = 0 to x = 10. Illustrate your answer on a graph of f(x).