MATH 220 Midterm: MATH 220 KSU Test 3s00

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You do not have to simplify your answers. You must show your work: evaluate (7 pts) a) z tan( x) sec( x) X dx (7 pts) b) z dq (2q + 1)3 (7 pts) c) z p dp (2p + 1)3 (7 pts) d) z 43. 41 x sin(x2 + 1)dx (7 pts) e) z. Find constants a , b , c and d so that the curve y = a + x b (x c)(x d) matches the graph below. page 2. D = (8 pts) 3. a) write an expression involving integrals for the area of the following region. (you do not have to simplify the resulting integrals for this part. ) page 3 y = 2 . 2 (4 pts) b) evaluate the integrals from part a) to get a numerical answer. page 4: compute (5 pts) a) z 3. 1 |x 1|dx (5 pts) b) lim x .