"Work" in the applications of Integration

<p>I was just wondering if W=Fd will be applied in the applications of integration section for Calc BC?</p>

<p>bump…</p>

<p>Yes, but I highly doubt you’ll get questions like that. It’s more so used in physics.</p>

<p>Had “Work” ever appeared on the past Calc BC exams?</p>

<p>I fainly recall one FRQ that had a part as the work done, but you will never need to use the formula W = Fd in BC unless they tell you the formula and ask you to derive/integrate. Most problems of this type usually involve a force over time or force over distance graph, and ask you to calculate the work done.</p>

<p>One sort of problem involving work is the work that is done in removing water from a tank. I am not sure if there are problems like these on the AP test but the way to approach this sort of problem is to treat the water as “slabs” of water with a thickness of dx. You then do the integral with limits of integration from zero to the height of the water. Inside the integral is the volume of a slab of water multiplied by the force and the distance one slab travels. Hope this helps!</p>