Finding bounds for integral over region region bounded by y=0, y=x^2, x=1

S

Superyoshiom

New member
Joined
Sep 10, 2017
Messages
10
The question is asking me to evaluate the double integral for xcos(y) where D is the region bounded by y=0, y=x^2, x=1. I know the bounds for y; however, I do not know the bounds for x. Can anyone help me out here?
 
Superyoshiom said:
The question is asking me to evaluate the double integral for xcos(y) where D is the region bounded by y=0, y=x^2, x=1. I know the bounds for y; however, I do not know the bounds for x. Can anyone help me out here?
Click to expand...
What did you get when you graphed the three given lines? ;)
 
That's one way. Good work.

At some point, it will be important to imagine another way.

If you assume first that \(\displaystyle y\in[0,1]\), what would be the corresponding limits for x?
 
You must log in or register to reply here.
Top