make a sketch, you'll be able to do it from there.
Hi There,
I hope its ok to post here as i didn't see a group for Integration....
I have this problem in my studyguide which provides a solution but no working. I cannot figure out the steps to get it. Any help will be very much appreciated.
Here goes
Sketch the region R and calculate the doubleIntegral for
f(x,y)=sin(x+y)
R={(x,y) | x >=0, y>=0 and x+y =< π} (this last term is pi)
The answer to this is π ie pi ie 180 degrees.
I know that with the double integral the first integral must have the constants, but seeing as we have a non-constant for x and y I don't know how to tackle it
Many thanks
PS I tried using the math tag but it removed and changed some of the characters
Thanks, to be honest I don't undestand the solution but possibly can you just explain how you got to your values for the integrals ie:
for the double integral I thought I could integrate from
pi-x to 0 for the first one
and
pi - y to 0 for the 2nd
How come were you able to use pi and not pi-x as per the boundary line x+y<=pi ?