Answer Happy

Each triple integral calculates the volume of one of the solids pictured below. Match each integral with the label A - E of its corresponding solid. As always, you may click on the thumbnail image to produce a larger image in a new window. Just take your time; a process of elimination will help with matches that are not obvious. 1. ∫−11​∫−1−x2​1−x2​​∫−1−x2−y2​1−x2−y2​​dzdydx 2. ∫−2​2​​∫−2​−x2​2​−x2​​∫x2+y24−x2−y2​dzdydx 3. ∫−22​∫−1−2x2​​1−2x2​​​∫−1−2x2​−y2​1−2x2​−y2​​dzdydx 4. ∫−11​∫−1−x2​1−x2​​∫−1−x2y2−1​1−x2−y2+1​​dzdydx 5. ∫−11​∫−1−x2​1−x2​​∫06−x−3y​dzdydx