Questions 3-4 please show all steps to find solution

3. Let A be the region bounded by f(x) = x2 and g(x) = 2x. (a) (6 points) Find the area of A (b) (6 points) Find the volume of the solid generated by rotating A around the x-axis using disks. (c) (6 points) Find the volume of the solid generated by rotating A around the y-axis using shells. 4. Evaluate the following antiderivatives. 2evx (a) (5 points) dx Vx (b) (5 points)/ cos(In x) dx (c) (6 points) x+1 (x - 1) (x+3)2 dx (d) (5 points) Vx2 - 4 dx You do not need to derive the antiderivatives of sec' x and sec x; just use the already-derived antiderivatives from the notes