Hi my name is Jessica and I have what seems like it should be a very simple question. I am a student in calculus 1 where our professor is having us experiment with Mathematica. We have a short set of problems in which we have to just prove we can enter in information into Mathematica and get an answer. It's really just a way for us to experience calculations other than by hand and the TI-89. However, due to my lack of using Mathematica and understanding how to input information I am having trouble figuring out how to even simply enter information into the program.

The question states: Sketch the region that is bounded by the graphs of f(x) = x e^-x^2, y=0, 0 less than or equal to x less than or equal to 1 and find the area of the region. How would I even go about entering this into Mathematica? I am trying to understand the plot function to view the graph, but am having trouble even figuring out basic input output answers. I'm assuming there should be a place for inserting plot into the input and entering the variable, min & max? If someone could help me that would be great! Thanks!