Question

another question.....In evaluating a double integral over a region D, a sum of iterated integrals was obtained as follows:
∬Df(x,y)dA=∫6,0∫(1/3)y,0f(x,y)dxdy+∫8,6∫8−y,0f(x,y)dxdy.

Sketch the region D and express the double integral as an iterated integral with reversed order of integration.

i don't understand how this becomes one region? unless i sketched it completely wrong...here's my sketch:

∫ba∫g2(x)g1(x)f(x,y)dydx
a= b=
g1(x)= g2(x)=

Answer 1

shaded inside the triangle.

Answer 2

can you post a picture of the question itself? hard to read thru the ascii stuff

Answer 3

yeah. one sec....

Answer 4

y is from 0 to 6, and y is from 6 yo 8 ..

x is from 0 to f(y1) and x is from 0 to f(y2)