So this is a rather late the Western, so I'm just going to go ahead and you only have the relevant information for what we are being asked to do. So you can pretty much summarize that paragraph into the total flow. And a layer of our artery is defined to be a part of the lost city and a cross section area which is of our is equal to two pi r k Time's capital R squared minus R squared times Delta are where Kay is just some miracle constant. Our is the radius of the artery, and little R is the distance from a given layer to the center. And also they tell us that Delta are is equal to D R Heard differential. So what we're tasked with doing is to set up a definite interval, find the total float in the artery, and we want to evaluate, definitely doable. So what we want to do for part A. What this is saying is, we want to integrate. You are with respect to our and then we have to see what our bounds on this air going to be. So here we're told that our is the rainiest of the artery. So if I were to just call all of it if I weren't just draw all the artery here. The largest it can be is capital R, and then they have some, like layers here. So say this is one of layers and then this one here, this would be one, two or so This distance, right there would be little r so we could have impossible radius of zero, but no plane, No one's artery is literally zero, but at least from the center will be zero and then going all the way out, it can go to capital. Or so let's go ahead and read. Write this as so this here, our belts are remember is supposed to be our This part is actually equal to D. R. Here, so we just need to write the two pi rk times capital R squared minus are spared. So this would be zero to capital R oh, two pi r, okay, Capital R squared minus R squared d R. And so this here is setting up the definite novel and then, for part being, we just want to evaluate this. So to pi K is a constant with respect to the little are so we can go ahead and move that out. Fronts to pie Hey! And then I was going zero the capital are of and I'm going to distribute this are inside here. So how capital r squared times little arm minus are gr So you have to pi Hey! And now Capitol our is a constant with respect to little r since capital are just speedy total distance which will never change So integrating this here will end up with So it's our square capital R c And then the power for our here is once too. So we divide that by its new power and then is tracked all you really are to the fourth power divided by or and then we want to evaluate this from zero to capital No so we have to Hi, Kay. So plugging in our or capital are into this So we have so capital r squared will be expired and then times are square will beat are to the board delighted by two and then minus will be put r squared there are into our to the fourth which should be for over four then we need to see cracked off reporting zero but plenty of men. Zero here would be zero minus zero. And so this here I mean this up a little bit. So in two pi k, this is so are to the fourth over to minus forty fourth over four is going to be our to the fourth over for war because one half miles from forthe support and so this will be hi k r to the four over. And so this here will be the total flow in the lawyer here, so this is always going to do