Double integral of x + y over the unit square

MediumCalculus~3m

Compute ∫01 ⁣ ⁣∫01(x+y) dx dy\displaystyle\int_0^1\!\!\int_0^1 (x+y)\,dx\,dy.

Show hints (2)+
  1. Separate into two integrals.
  2. By symmetry each piece is 1/21/2.

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