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
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