Which expression represents the average value of f(w)=w2ewf(w) = w^2 e^wf(w)=w2ew on [0,1][0, 1][0,1]?
∫01w2ewdw\int_0^1 w^2 e^w dw∫01w2ewdw
e−2e-2e−2
e−1e-1e−1
12∫01w2ewdw\frac{1}{2} \int_0^1 w^2 e^w dw21∫01w2ewdw