Double Integrals

In evaluating a double integral over a region http://mathcs.chapman.edu/webwork2_f...33f7cadea1.png, a sum of iterated integrals was obtained as follows:

http://mathcs.chapman.edu/webwork2_f...7cc5602e81.png

Sketch the region http://mathcs.chapman.edu/webwork2_f...33f7cadea1.png and express the double integral as an iterated integral with reversed order of integration.
Find a, b, g1(x), and g2(x).
I said a was 0 b was 7, g1(x) was 7 and g2(x) 0
but thats not correct so what next?

Did you make a sketch? That'd be your best friend to express the double integral sum as a single one.