x ln(x) - x + C
It was covered more in 1A03.
That rhymes. lol
That's the indefinite integral. You get that by
integrating by parts (<-hyperlinked).
Substitute the upper and lower limits for the x' and subtract them. Upper limit minus lower limit.
i.e. if your upper limit was b, and lower limit was a such as in here:
Then you solve:
[b ln(b)-b]-[a ln(a)-a] = your answer