The first thing I can see that is wrong is that your and are around the wrong way.
That would mean that when you integrate with respect to first, it should be noted that the values are bounded by and .
I need some help with a simple iterated integration. I just can't seem to figure out where I am going wrong. According to an online homework site, my answer is not correct.
I am getting a crazy answer of -179975.2.
Below is the question and I have attached an image of my work. Any help would be GREATLY appreciated, as this assignment is due soon.
(1 pt) Let D be the region in the x,y-plane enclosed by the curves and . Find the volume of the solid with base D that lies under the surface .
Answer (my work, please click on the image link):
Your graph is also wrong. What you have marked as (0, 3) should be (0, -3), because it below the y-axis, and is NOT a point of intersection of the two graphs.
If and then so that . The two graphs intersect where y= -1 and y= 3. When y= -1, x= -8 and when y= 3, x= 0.
The two graphs intersect at (-8, -1) and at (3, 0).