MAC 2311 Midterm: MAC2311 F03 Test 4
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December 5, 2003 (a) if f (x) = xe x sin (2x), nd z f (x) dx. (b) if f (x) = z x et cos t sin t dt, nd f (x). 0 (2) (10 pts. each) find f , if f (x) = 3x 2/x4 and f (1) = 0. (3) (10 pts. each) integrate the following. T (1 + t) dt (a) z 4 (b) z (6ex + 2x + 5) dx (c) z 4 (5 + 2x) 3 dx (d) z cos x. The initial velocity is v(0) = 9. (a) find the velocity function v(t). (b) for the time interval 0 t 5, nd the total distance traveled. (5) (10 pts. ) Find the area under the curve y = 1 x2 , 1 x 2. (6) (10 pts. ) If f is continuous and f (0) = 1 and.
