anyone noe how to solve tis mt question?

lovingpig

sketch,on the same coordinate axes,the curves y=e^x and y=2+3e^-x
calculate the area bounded by the y-axis and the curves.

idontwant2b

用transformation of e^x画这两个graph，
你就看到这两条graph和y-axis 有一个area。

peaceboy

e^x =2+3e^(-x)
e^2x -2e^x - 3 =0
(e^x+1)(e^x-3)=0
e^x = -1(rejected)
e^x = 3
x= ln 3

∫2+3e^-x dx - ∫ e^x dx    _ x from 0 to ln3
                                       
剩下的自己来 o.0