Instead of just multiplying dx times the difference between these functions, we're going to square the difference of these functions because we're visualizing this three-dimensional shape, the surface area of this three-dimensional shape as opposed to just the height of this little rectangle. And if you were to evaluate this integral, you would indeed get the volume of this kind of pedestal horn-looking thing. This is not an easy definite integral to evaluate by hand, but we can actually use a calculator for that. And so we can hit Math and then hit choice number nine for definite integral. And then we just have to input everything. We're going from zero till two of, and then we have, let me open parentheses because I'm gonna have to square everything, six minus four times the natural log of x, or actually the natural log of three minus x. And so let me close the parentheses on the natural log part.