so I have a question here, in a line of questions, where i am supposed to figure out of a) i need to integrate with respect to x or y, and b)find the area of the region.

the problem is 4x+y^2=12, x=y. so i figure ill integrate with respect to y, and i move the x over to the other side in the first problem, move the 12 to the left side, then divide everything by 4 to come to 4-(y^2)/4=x now when i sketch this, one of the intercepts is to the left of the y axis, and one is to the right.

I really don't know where to go at this point.