I solved these problems but I dont think I did them correctly can someone give me a clear step by step integration of the following:

1 ) Find the volume of the solid generated by rotating the region bounded by the given curve about the y-axis: y = x(e^x), x = 0, x = 1, y = 0.

2) Find the volume of the solid generated by rotating the region bounded by the given curve about the y-axis: y = arctan(x), x = 0, x = 1, y = 0