calc ll Area between curves

1. Find the area between βˆ’π‘₯2 and βˆ’π‘₯ from π‘₯ = βˆ’1 to π‘₯ = 1. (Hint: Drawing a picture may help. These functions intersect at π‘₯ = 0 and π‘₯ = 1.)
2. Consider the region bounded by the functions π’š = πŸ”π’™ and π’š = βˆ’π’™πŸ πŸ•, where the functions intersect at the points (𝟏, πŸ”) and (𝟐, πŸ‘), and where 𝑦 = βˆ’π‘₯2 7 is the top and right-most function in the bounded region, which means that 𝑦 = π‘₯6 is the bottom and left-most function in
the bounded region. Calculate the volume of the solid generated by revolving the region about the line π’š = πŸ• using the Washer (Disk) Method: