Find the area bounded by?

Question

Find the area bounded by y=e^x, y=2, and the y-axis. 

 

Answer: 2 ln(2)-1

 

Please show all your work.

Answer 1

Area= ∫(2-e^x)dx from x=0 to x=ln2 =2x-e^x between 0 and ln2= 2ln2-2+1=2ln2-1

 

Jim