MATH 1501 Midterm: test3_1501_Fall2012.pdf
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Math 1501 k1-k4 l1-l4 test 3 total: 20 points. Make sure to write down your procedure clearly for problems (7)-(12). (1) let f (x) be a contiuous function on r. express the limit as a de nite integral. lim n . [f (1/n) + f (2/n) + + f (n/n)] = ( (1 point). (2) given that r 5. 2 f (x) dx = 7, r 6 (1 point). 2 f (x) dx = 11, (3) set. F (1) = ( (1 point). (4) (2 points). 2 | sin x| dx = ( (5) de ne a function f such that f (x) = p1 + sin2 x and f ( ) = 3. (f could contain an integral and you don"t need to. F (x) = ( evaluate the integral). (1 point). (6) the area of the region bounded by the curves x = y2 and y = x 2.
