# Calculus 2. Is this the right answer?

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The question is: Find the area of the region bounded by #y=xe^(-x^2/2)# and its asymptote. For my final answer, I got an area equal to 1 and I was hoping if someone could tell me if this is correct. Thanks in advance!

The question is: Find the area of the region bounded by

##### 1 Answer

Mar 15, 2017

The area is 1.

#### Explanation:

graph{xe^(-x^2/2) [-6.244, 6.243, -3.12, 3.123]}

**Since the problem is referring to the curve bounded within #"quadrant I"#, we are solving for:**

(Fix notation in advance by writing as a limit of a definite integral bounded by