?Use symmetry to evaluate the double integral.\(\iint_{R}\left(1+x^{2} \sin \ y+y^{2}

Chapter 13, Problem 56

(choose chapter or problem)

Use symmetry to evaluate the double integral.

\(\iint_{R}\left(1+x^{2} \sin \ y+y^{2} \sin \ x\right) \ d A, \quad R=[-\pi, \ \pi] \times[-\pi, \ \pi]\)

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