integral calculus . topics: The Area between Two CurvesVertical SlicesHorizontal Slices PLEASE SHOW COMPLETE SOLUTION

III. PROGRESS CHECK: Find the area of the region between the two curves in each problem, and be sure to sketch each one. (We only gave you endpoints in one of them. Those are the breaks.) 1. The curve y = x2 - 2 and the line y = 2. 2. The curve y = x and the curve y = 4x - x2. 3. The curve y = x and the curve y = 3x - 4. 4. The curve y = x- - 4x -5 and the curve y = 2x - 5. 5. The curve y = x' and the x-axis, from x = -1 to x = 2. 6. The curve x = y' and the line x = y + 2. 7. The curve x = y and the curve x = 3 - 2y2. 8. The curve x = y - y and the line x = 2y. 9. The curve x = y- - 4y + 2 and the line x = y - 2. 10. The curve x = y ' and the curve x = 2-y*