For each of the three applications below, calculate the specified integral using both the (1) Trapezoidal Rule and (2) Simpson's Rule. Show ALL work for full credit.3. Engineers want to construct a straight and level road 600 feet long and 75 feet wide by cutting through an intervening hill (see gure below). Heights of the hill above the center line of the proposed road are shown in the table below. To estimate the construction costs, the engineers need to know the volume of earth that must be moved. Approximate (to the nearest cubic foot) this volume. (Hint: First set up an integral for the cross-sectional area of the cut along the centerline of the road, then assume that the height of the hill does not vary between the centerline and the edges of the road.) Horizontal Distance x (ft) Height h (ft) 0 O 100 7 200 16 300 24 400 25 500 16 600 0