MATH 20C Lecture 27

15.2

Evaluate $\int \underset{D}{\int }{e}^{x+y}dA$ over $D$ defined by $x\ge 1,y\ge 1,x+y\le 5$

$D=\left\{(x,y)|c\le y\le d,h_1(y)\le x\le h_2(y)\right\}$

• The horizontal strips are labeled by their y-values
• The range of the horizontal strips is from to
• For the horizontal strip at , the bounds for x values are from to
  

Change of order

Find the volume $V$ of the region under the plane $z=2x+3y$ over the triangle $D$ bounded by $y=\frac{x}{2},y=x,y=2$

or