Math 152 AU10 Exam 2 Review

Math 152 AU10 Exam 2 Review - MSLC Math 152 Midterm 2...

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MSLC Math 152 Midterm 2 Review Disclaimer: This review should NOT be used as your only guide for what to study. 1) Evaluate the following integrals a. 2 2 4 x dx x i . sin(3 )sin(2 ) x xd x b. (2 1) 1) x x ed x j . arcsin( ) x x (Hard!) c. 23 sin (2 )cos (2 ) x xdx k . 3 2 49 x dx x d. 5 sin (3 ) x dx l . 3 1 22 ) x xx d x e. 2 ln( ) x dx x m . 2 1 x x e dx e f. 2 9 x dx x n . 2 sin ( ) x dx g. 3 1 x dx x o . 4 sin ( ) td t h. 2 1 91 6 dx x p . 42 (ln( )) x x 2) The following table gives some of the values of the functions f(x) and g(x). x 0 1 2 3 4 5 f(x) 10 45/4 11 41/4 11 49/4 g(x) 1 5/4 2 13/4 5 29/4 Consider the area bounded by f(x), g(x), x=0, and x=5. For each calculation, write down the desired integral and the appropriate approximating Riemann Sum using proper sigma notation. Then calculate the sum. a) Using a Right Riemann Sum, calculate the approximate volume of the solid whose base is the above area and whose cross sections perpendicular to the x -axis are semicircles.
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Math 152 AU10 Exam 2 Review - MSLC Math 152 Midterm 2...

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