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]
This shows how to find definite integral and use midpoint rule to approximate area.