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