### Problems

1. Find the definite integral. 0/1 (e^-x)/(e-x + 1)^1/2 2. use the midpoint rule with n=4 to approximate the area of the region bounded by the graph of f and x-axis over the interval. Compare your result with the exact area. Sketch the region a. f(x)=x^2(3-x) [0,3] b. f(x)=x^2 - x^3 [-1, 0] ---