Question

y=e的x次方,y=e负x次方和y=e 曲线围成的面积

Answer 1

y=e^x和y=e^(-x)交点是(0,1)

y=e^x=e,x=1,则y=e^x和y=e交点(1,e)

y=e^-x和y=e交点(-1,e)

所以面积=∫(-1,0)(e-e^-x)dx+∫(0,1)(e-e^x)dx

=ex+e^-x(-1,0)+ex-e^x(0,1)

=(1+e-e)+(e-e+1)

=2