MA 126 Final: Cal_II_MA_126_8C_Final_Exam Fall 2016

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31 Jan 2019
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Closed book - calculators and one index card are allowed! Clearly write your answer in the space provided after each question. You need to show some work to justify your answer for this part of the test. Limited partial credit is awarded for this part of the test. X + 1 dx. (give the exact answer. Find the derivative of the function f (x) = tan 1(ln(x)), and state the name of the di eren- tiation rule you use! Evaluate the inde nite integral z sin2(x) cos3(x) dx. Evaluate the inde nite integral z x ln(x) dx. 4x3 (1 + x4)3 dx is convergent or divergent. Find the area of the region bounded by the line y = x and the curve y = x2. Find the radius and interval of convergence of the power series end-points as well!) Determine whether the alternating series ( 1)n vergent, or conditionally convergent. (be speci c!)

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