Question

Find the area bounded by the curve.
y = e^-x & y=ln (x+e) and x-axis​

Answer 1

Answer: The two curve meet at x=0  

For x>0,e  

x

>e  

−x

 

Area bounded by e  

x

,e  

−x

,x-axis is equal to area bounded by e  

x

,x-axis - area bounded by e  

−x

,x-axis  

By above concept:

Area bounded is ∫  

0

1

​  

e  

x

dx−∫  

0

1

​  

e  

−x

dx

So, area bounded by e  

x

,e  

−x

,x=1 is ∫  

0

1

​  

(e  

x

−e  

−x

)dx

Bounded Area =e−1+e  

−1

−1=e+  

e

1

​  

− 2

Step-by-step explanation: