Question 890122
{{{drawing(300,300,-2,4,-2,4,grid(1),circle(2,3,0.15),blue(line(2,0,2,3)),circle(2,0.0366,0.15),graph(300,300,-2,4,-2,4,x*e^(-x^2),x+1))}}}
{{{A=int((x+1-x*e^(-x^2)),dx,0,2)}}}
{{{A=x^2/2+x+(1/2)e^(-x^2)+C}}}
{{{A=2^2/2+2+(1/2)e^(-2^2) -(0^2/2+0+(1/2)e^(-0^2))}}}
{{{A=2+2+(1/2)e^(-4) -1/2}}}
{{{A=7/2-(1/2)e^(-4)}}}
{{{highlight(A=(7-e^(-4))/2)}}}