SOLUTION: Find the area of the region bounded by the x-axis , the lines y=x and x=2 and the curve y=e^(1-x). Thanks!!

Algebra ->  Exponents -> SOLUTION: Find the area of the region bounded by the x-axis , the lines y=x and x=2 and the curve y=e^(1-x). Thanks!!       Log On


   

Question 834948: Find the area of the region bounded by the x-axis , the lines y=x and x=2 and the curve y=e^(1-x).
Thanks!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+graph%28+300%2C+300%2C+-2%2C+5%2C+-2%2C+5%2C+x%2C+e%5E%281-x%29%29+
From the graph, you can find the area by breaking up the area into two parts,
A=int%28x%2Cdx%2C0%2C1%29%2Bint%28e%5E%281-x%29%2Cdx%2C1%2Cinfinity%29
int%28x%2Cdx%2C0%2C1%29=%281%2F2%29x%5E2%2BC=%281%2F2%29%281%5E2-0%5E2%29=1%2F2

A=1%2F2%2B1=3%2F2