Answer
$24\sqrt 2$
Work Step by Step
Plug in the limits for x and y into the integral:
$\int\int\sqrt 2 dxdy$
With y limits from -1 to 5, and x limits from 2 to 6
Integrate the integral with respect to x first:
$\int[\sqrt 2 x]dy$ with x limits from 2 to 6
$=\int4\sqrt 2 dy$
Integral with respect to y:
$4\sqrt 2 y$ with limits -1 to 5
$=24\sqrt 2$
