R is triangle with vertices (−1,0),(0,1), and (1,0). (a) As an iterated integral,∬R(8x+4y)2dA=∫BA∫DC(8x+4y)2dxdy with limits A=0 B=1 C=? D=?(b) Evaluate the integral in part (a). Integral =

Answer 1

Always the universal difficulty in evaluating double or triple integrals is find the upper and lower limits.

Hard part is to first choose the variable for the outer integrals so limits of integration are constants.

Then the inner integral for double and integrals for triple will have limits of functions of that chosen variable.

Diagram of the region will help in the decision as in this video.