MAC 2311 Midterm: MAC2311 F02 Test 4
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Calculus 1, test 4 (1) (10 pts. ) (a) if f (x) = e3x sin x. December 8, 2002 (b) if f (x) =z x. 1 et ln t dt, nd f (x). (2) (10 pts. each) integrate the following. (a) z ( x + x 1 + 2x + 1) dx (b) z sin(2x 1) dx (c) z ex 2 + ex dx. Calculus 1, test 4 page 2 (d) z sin x cos2 x dx (e) z 2. 1 t6 t2 t4 dt (3) (15 pts. ) The acceleration function is a(t) = 3 2t. The initial velocity is v(0) = 2. (a) find the velocity function v(t). (b) for the time interval 0 t 2, nd the total distance traveled. Calculus 1, test 4 page 3 (4) (10 pts. ) Find the area under the curve y = 1 + x2 , 1 x 1. (5) (10 pts. )
