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Calculus and Beyond Homework Help
Using sigma sums to estimate the area under a curve
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[QUOTE="gopher_p, post: 4595437, member: 414293"] You have multiple mistakes that fall under the banner of basic algebra. It's fairly common in my experience for calculus students to do just fine on the calculus part of the problem, but mess up the "easy" stuff, so you're not alone. I would advise that you work through it again, but maybe take a little more care to make good use of parentheses. Maybe take a few more steps to get the job done and try to identify the principle that applies to each step. Also, you might find that you make fewer mistakes if you don't try to mix concepts into the same step; i.e. don't use properties of/formulas related to sigma notation (new math to you) while trying to factor, distribute, etc. (old math); until you are more comfortable with the new stuff. Presumably you know that as n→∞, the expression for the area that you get in terms of n should get closer to the actual area under the curve (since this function is positive on [0,2]). This gives you a way to check if your expression is reasonable; does the limit exist? is it a reasonable number? [/QUOTE]
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Using sigma sums to estimate the area under a curve
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