This is a question from my Calculus PSET

1. Let R be the region enclosed by the curves 3; = :02 + 1 and y = 456 + 1. Find the area of R two ways, once by slicing vertically and once by slicing horizontally. For each method, please draw a picture showing the rectangle you used to approximate the kth slicer Evaluate both integrals to show that you get the same answer either way