Question: Finding the area between curves.Below, we see a region bounded by two curves and the x-axis.The region shaded in light blue is bounded on the
Finding the area between curves.Below, we see a region bounded by two curves and the x-axis.The region shaded in light blue is bounded on the left by the curve y=4x(in dark blue), on the right by the curve y=12x2(in dark red), and above by the line y=3(in dark green).Part 1.Suppose that we wish to integrate with respect to x to find the value of the shaded area. This will require two integrals. Fill in the blanks with the appropriate values and functions so that the integrals below describe the area of the shaded region.Part 2.Now, suppose that we wish to integrate with respect to y to find the value of the shaded area. This will only require one integral. Fill in the blanks so that the resulting integral (with respect to y) will describe the area of the shaded region.to find the value of the shaded area. This will only require one integral. Fill in the blanks so that the resulting integral (with respect to y) will describe the area of the shaded region.Part 3.Finally, after evaluating the integrals above, we find that the area of the shaded region equals
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