Given the limits of integration, how does one perform the double integral of the absolute values of x+y, abs(x+y)? thanks
Given the limits of integration, how does one perform the double integral of the absolute values of x+y, abs(x+y)? thanks
Oh, ironically there is another integration question on the first page of the message board, so I just want to be clear that I am not the same person. I know how to perform integration on gaussian functions.
abs(y+x), z+v = moronwhocomestoletsunforanswers
math question man wrote:
Given the limits of integration, how does one perform the double integral of the absolute values of x+y, abs(x+y)? thanks
Rewrite it as a piecewise function.
Maybe you could rewrite the integrand as the square root of the function squared? At first glance, i thought of exploiting the even nature of the abs() function, but for a given value of y, abs(x+y) is not even (unless y is zero, obviously). Perhaps break the integration into pieces?
THEY TOOK OUR JOBS!!!
oh, sorry, that's immigration..
1) Draw the region of integration.
2) Draw the line y = -x through the region of integration. This will split the region into two sub-regions.
3) Above the line, x+y is positive, so integrate x+y over this sub-region.
4) Below the line, x+y is negative, so integrate -(x+y) over this sub-region.
5) Go have a beer. Much more worthwhile than doing math.