0 votes 0 votes The value of the integral $\iint_R \text{xy dx dy}$ over the region $R$, given in the figure, __________ is (rounded off to the nearest integer). Others gateece-2023 + – admin asked May 20, 2023 • edited Nov 10, 2023 by makhdoom ghaya admin 46.4k points 278 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes From figure$y=-x+2=x$so $x=-x+2$$2x=x$$x=1$similarly from $y=x+2$ and $y=-x$$x=-1$from figure y is between $0$ and $2$$\int \int_R xy\,dx dy= \int_0^2\int_{-1}^1xy\,dxdy=\int_0^2 y[\frac{x^2}{2}]_{-1}^1\,dy=\int_0^2 0\,dy=0$ SankarVinayak answered Jan 1 SankarVinayak 220 points comment Share ask related question Follow See all 0 reply Please log in or register to add a comment.