Answer
$24 \sqrt 2$
Work Step by Step
$\int_{-1}^5 \int_2^6 \sqrt 2 dxdy = \int_{-1}^5 \sqrt 2 x \big|_2^6 dy$
=$\int_{-1}^5 \sqrt 2 (6-2) dy$
=$\int_{-1}^5 4 \sqrt 2 dy$
=$4 \sqrt 2 y\big|_{-1}^5$
=$4 \sqrt 2 [5-(-1)]$
= $4 \sqrt 2 (6)$
=$24 \sqrt 2$
