Thread: 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 = y<sup>2
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.</sup>



Thanks in advance!

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

Thanks Hollywood....

Would this graph work?

You want something like:

Here is my worked out solution. Look correct?

Originally Posted by JDS

Here is my worked out solution. Look correct?

Yes it does.
But I did not do the actual calculations. Here they are.

Originally Posted by MarkFL2

You want something like:

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

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 ..., , ", so I went with that.

- Hollywood