∫(2,1)xlnxdx=∫(2,1)(1/2)lnxd(x^2)=(1/2)x^2lnx-(1/2)∫(2,1)xdx=(1/2)[x^2lnx-(1/2)x^2](2,1)=(1/2)(4ln2-3/2)=2ln2-3/4