in all seriousness because of the hurricanes in florida i did not get to learn about finding integrals in the Y perspective. given that this is my question. let R be the region in the first quadrant bounded by x=0,y=1,y=2, and y= 4e^(-x^2). to my knowledge the integral needs to be set up so that we change perspectives make the y axis the x axis and the x axis the y axis. so we cut the graph with an arbitray "horizantol" line. so this gives us the integral from x=1 to x=2 (former y values). here is my problem the first horizontal line that Y touches is Y=0 (former x value) and y = 4e^(-x^2). now since we changed our coordinate system don't we need to change the exponeltial function thus x=4e^(-y^2) and solve for Y?