# Test4Review - skinny little rectangle iii Calculate the...

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Math 1591, Review or practice for Test 4. One should know (may be asked to state) 1. The Integral Mean Value Theorem 2. The Fundamental Theorem of Calculus (Part I) 3. The Fundamental Theorem of Calculus (Part II) Possible questions for the non-calculator part are 1. known antiderivatives e.g. xdx 2 sec 2. To evaluate a definite integral of a known function (known antiderivative) like + 8 0 1 1 dx x 3. The process of Riemann Sums to the limit giving the definite integral like a. Find + 2 0 2 2 dx x by i. Dividing [0,2] into n-equal subintervals ii. Evaluating the function at r.h.e.p. to get the height of the kth
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Unformatted text preview: skinny little rectangle iii. Calculate the area of the kth skinny little rectangle iv. Add up the areas of the skinny little rectangles in terms of n b. Find the limit as n ∞ c. Write the definite integral Possible questions for the Calculator part might include anything from above as well as some creative questions about area or definite integrals. One might find a question on numerical integration. A question or two about ln x, or exponential functions. More later...
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## This note was uploaded on 04/10/2008 for the course MATH 1591 taught by Professor Seifert during the Fall '07 term at University of Central Arkansas.

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