How do you find #intx^2 e^(1-x)dx# using integration by parts?
#intx^2 e^(1-x)dx#
The answer is supposedly #-x^2 e^(1-x) -2xe^(1-x) -2e^(1-x) + C# , but I don't understand how it came to be.
Please explain. Thanks in advance!
The answer is supposedly
Please explain. Thanks in advance!
1 Answer
Explanation:
We'll make the following selections:
Take its differential:
Take its integral:
Apply the integration by parts formula.
The negatives cancel each other out.
For
Thus, the entire integral becomes