(a)∬R f(x,y)dA=∫BA∫DC f(x,y)dydx A=-1 B=1 C=? D=3

Question

Suppose R is the shaded region in the figure, and f(x,y) is a continuous function on R. Find the limits of integration for the following iterated integral

Answer 1

It looks like the limits are A to B and C to D and you need to find C? Since we don't have an image of the question (which WyzAnt needs to fix), I am assuming that the region is not rectangular and has a curve so it would be an iterated integral if that is the case. You would then need to find the function. E.g. if it were a line y=mx_b or a parabola y=x^2 or x=y^2 depending on if you are going from y or x for your starting point. Since C and D usually correlate to y limits, I would imaging you are looking for a function C: x(y)=... to D: x=3.

That is the best I can offer without seeing the imaging...

I hope this helps you on your quest. My tutor profile is https://WyzAnt.com/Tutors/JJtheTutor and you can download the PDF of my "Ultimate Cheat Sheet" via https://payhip.com/b/xOaF1 if you want a great resource for the remainder of your studies!

Thanks!

Author Jonathan David