<p>I personally think if understood correctly, washer is easier than shells but that is just me. My teacher never taught us shells but I learned it on my own. </p>
<p>Anyway, im still having trouble with related rates and some tough implicit differentiation, meh. Im great with area under a curve and velocity/acceleration problems, but related rates always seem to drive me insane.</p>
<p>do we need to memorize the hard derivatives and integrals such as:
derivative arcsin = 1 / root (1-u^2), arctan, arcsec
antiderviative tan = -ln|cos|u, cot, sec, csc, du/root(a^2-u^2), du/(a^2+u^2), du / (u root(u^2-a^2))</p>
<p>The Lagrange remainder is basically everything else that isn't included in the terms that have been listed. Just memorize the formula (or put it in your calc). Usually you are asked to find how many terms you need to have an error less than a certain amount.</p>
<p>is there any specific formulas we need to know or is it given on the test? May be volume of cylinder or sphere for related rate problems? And the idea of putting it in your calculator is a bad one since half the test will be done w/o calculator.</p>
<p>What about arcsin/arccos/arctan derivitaves? Because I'm having a real hard time memorsing them and my test is less than 12 hrs away (that's including sleep time!)</p>
<p>I'm praying for a slope-field / separation of variables question. We know a rotating volume question will be on there, but I hope its easy (aka...not revolving around a line above the axis)</p>