The value of the following definite integral is ____

The value of the following definite integral is _____ (round off to there decimal places).
^e∫₁(xInx)dx

I = ^e∫₁x In xdx

=	In x²	- ∫		1	×	x²		dx
	2			x		2

=	x² In x	-	x²		^e
	2		₁		4

=		e²	-	e²		+	1
		2		4			4

=	e² + 1	= 2.097
	4