How do you find #intsqrtx lnxdx# using integration by parts?
#intsqrtx lnxdx#
The answer is supposedly #2/3 xsqrtx lnx - 4/9 xsqrtx + 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:
Make the following selections:
Calculate its differential:
Integrate to find
Note that we selected the specific choices
Apply the integration by parts formula:
Thus, we have
Now,