CPM Homework Help : CALC3RD Problem 8-92

Multiple Choice: What is the area of the region in the first quadrant bounded by the graphs of $y = e^x$ and $y = -x + 3$ ?

$0.726$

$0.782$

$0.855$

$1.208$

$2.063$

Hint 1:

Notice that the region is in the first quadrant. What are the bounds of integration?

Hint 2:

Which function is on the top (has higher $y$ -values) and which is on the bottom (has lower $y$ -values)? If the top and bottom change, then write more than one integral.

Hint 3:

To ensure that your answer is correct to three decimal places, make sure that your bounds are correct to more than three decimal places.