The value of the integral 2∫0x∫0dydx

²∫₀^x∫₀e^e+ydy dx = ²∫₀e^x(^x∫₀e^ydy)dx
= ²∫₀e^x(e^y)₀^x dx = ²∫₀(e^x - 1)dx

= ²∫₀(e^2x - e^x) dx =		e^2x	- e^x		²
		2			₀

=	e⁴	- e²	1	+ 1 =	e⁴	- e²	1
	2		2		2		2

=	1	(e⁴ - 2e² + 1) =	1	(e² - 1)²
	2		2