LVJLU (DA ' MULLHLIULV L/LLVLJ. I ll} I'LILJ AUAO JJUJZ.' LIEJU. U, AUAO U (5) Pumping - Integrating along the yaxis. Consider a full watering trough with an isosceles trapazoidal face. The trough is 4 meters tall, 4 meters wide at the top, 2 meters wide at the bottom, and 5 meters long. Set up AND evaluate the integral needed to deter- mine the work required to pump all the water out over the top edge of the trough. Use the weight density of water 9, SOON/m3. Hint: Imagine the bottom of the face of the trough sitting on the :raxis symmetric about [and parallel to) the yaxis. Just like in problem (4), draw a sample slice, label points, identify the needed formula for the boundary and rewrite it as a