Problem 1. (1 point) Problem 2. (1 point) The graph of f is shown below. Evaluate each integral by inter- preting it in terms of areas. Consider the graph of the function g(x): -2 The graph from x = 2 to x = 6 is a semicircle. Evaluate the fol- lowing integrals by interpreting them in terms of areas: (a) 6 8(x) dx =. 1. [ f( x)dx = (b) / 8(x) dx = 2. J f()dx = () 6'8( x ) dx =. 3. ['f()dx =. Problem 3. (1 point) Evaluate the definite integral: 4 . [ 's( ) dx = 5 dx = Note: You can click on the graph to enlarge the image.Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves y = 4 + 3x - x and y + x = 4 about the y-axis. Below is a graph of the bounded region. 10 4.0 Volume =The region bounded by y = 2 + sin x, y = 0, x = 0 and 2x is revolved about the y-axis. Find the volume that results. Hint: r sin x de = sinc - x cost + C. Volume of the solid of revolution:Applications - Area Between Curves: Problem 5 {1 point} Find the area 01 the region that is encloeed between y = 103' $3 + z and y = 32 + 213. The area ism