# Sketch and find the area of the region bounded by the given curves. Choose the variab

• Jan 18th 2013, 06:05 AM
JDS
Sketch and find the area of the region bounded by the given curves. Choose the variab
Sketch and find the area of the region bounded by the given curves. Choose the variable of integration so that the area is written as a single integral.

x = y2
x = 4

I am not sure where to start on this one.....If I could get some advice on how to graph this, that would be a great start. I have attached my attempt at graphing this.

Attachment 26604

• Jan 18th 2013, 06:17 AM
hollywood
Re: Sketch and find the area of the region bounded by the given curves. Choose the va
Your graph is missing the bottom half of the parabola. When you draw that, you should have a region to integrate. I think the variable of integration can be either x or y; you get a single integral either way.

- Hollywood
• Jan 18th 2013, 06:29 AM
JDS
Re: Sketch and find the area of the region bounded by the given curves. Choose the va
Thanks Hollywood....

Would this graph work?

Attachment 26605
• Jan 18th 2013, 10:55 AM
MarkFL
Re: Sketch and find the area of the region bounded by the given curves. Choose the va
You want something like:

Attachment 26608
• Jan 18th 2013, 01:54 PM
JDS
Re: Sketch and find the area of the region bounded by the given curves. Choose the va
Attachment 26609

Here is my worked out solution. Look correct?
• Jan 18th 2013, 02:08 PM
Plato
Re: Sketch and find the area of the region bounded by the given curves. Choose the va
Quote:

Originally Posted by JDS
Attachment 26609
Here is my worked out solution. Look correct?

Yes it does.
But I did not do the actual calculations. Here they are.
• Jan 18th 2013, 03:48 PM
Prove It
Re: Sketch and find the area of the region bounded by the given curves. Choose the va
Quote:

Originally Posted by MarkFL2
You want something like:

Attachment 26608

Or perhaps the OP wants the region bounded by his/her functions and the x-axis...
• Jan 18th 2013, 08:46 PM
hollywood
Re: Sketch and find the area of the region bounded by the given curves. Choose the va
Quote:

Originally Posted by Prove It
Or perhaps the OP wants the region bounded by his/her functions and the x-axis...

Perhaps. I actually thought of that. But the actual post said, "Sketch and find the area of the region bounded by the given curves ..., $x = y^2$, $x = 4$", so I went with that.

- Hollywood