Finding the area between curves. Below, we see a region bounded by two curves. The region...

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Finding the area between curves. Below, we see a region bounded by two curves. The region shaded in light blue is bounded on the left by the curve z = y² (in dark red), on the right by the curve yz (in dark blue). Part 1. Suppose that we wish to integrate with respect to z to find the value of the shaded area. Fill in the blanks so that the resulting integral (with respect to z) will describe the area of the shaded region. Note: Set up the integral so that the lower limit of integration is less than the upper limit of integration. Part 2. Now, suppose that we wish to integrate with respect to y to find the value of the shaded area. Fill in the blanks so that the resulting integral (with respect to y) will describe the area of the shaded region. Note: Set up the integral so that the lower limit of integration is less than the upper limit of integration. Part 3. Finally, after evaluating the integrals above, we find that the area of the shaded region equals Finding the area between curves. Below, we see a region bounded by two curves. The region shaded in light blue is bounded on the left by the curve z = y² (in dark red), on the right by the curve yz (in dark blue). Part 1. Suppose that we wish to integrate with respect to z to find the value of the shaded area. Fill in the blanks so that the resulting integral (with respect to z) will describe the area of the shaded region. Note: Set up the integral so that the lower limit of integration is less than the upper limit of integration. Part 2. Now, suppose that we wish to integrate with respect to y to find the value of the shaded area. Fill in the blanks so that the resulting integral (with respect to y) will describe the area of the shaded region. Note: Set up the integral so that the lower limit of integration is less than the upper limit of integration. Part 3. Finally, after evaluating the integrals above, we find that the area of the shaded region equals