# Math Help - finding the area

1. ## 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

2. 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

$42-y^2 = -y$

after set up your integral with your points of intersection

$\int (42 -y^2 + y)dy$