?Evaluate the integral by making an appropriate change of variables.\(\iint_{R}(x+y)

Chapter 14, Problem 26

(choose chapter or problem)

Evaluate the integral by making an appropriate change of variables.

$\iint_{R}(x+y) e^{x^{2}-y^{2}} d A$, where R is the rectangle enclosed by the lines $x-y=0, x-y=2, x+y=0$, and $x+y=3$

Equation Transcription:

∬ ${\ }_{R}(x+y){e}^{{x}^{2}-{y}^{2}}dA$

$x-y=0,x-y=2,x+y=0$

$x+y=3$

Text Transcription:

double integral_R (x+y)e^x^2 -y^2 dA

x-y=0, x-y=2, x+y=0

x+y=3

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