Math Help - finding the area

I am not sure what to do here for this problem.

Sketch the region enclosed by x+ y^2= 42 and x+y = 0. Decide whether to integrate with respect to x or y. Then find the area of the region.

Any help would be great

Originally Posted by mbrez88

I am not sure what to do here for this problem.

Sketch the region enclosed by x+ y^2= 42 and x+y = 0. Decide whether to integrate with respect to x or y. Then find the area of the region.

Any help would be great

First thing I would do is look at the graph and notice that it will be easier to do horizontal slicing.

Next find your points of intersection



after set up your integral with your points of intersection