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2065438+2004 National Unified Entrance Examination for Postgraduates Mathematics III 65438+2002 Quadratic Integral
Transform the integration order of x and y

0 & lty & lt 1,y & ltx & lt 1

After drawing, change the order of integrals.

0 & ltx & lt 1,0 & lt; y & ltx

For e (x 2) integral, it only goes from 0 to infinity, which is mentioned in the book of high numbers.

Using γ function or double integral solution, the result is √π/2.

Others. . If it is encountered at present, it will definitely be eliminated.