MATH10560 Midterm: Math10560Extra ProblemsEx2S12 Solutions
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2. (a) (a) (b) (b) (c) (c) (d) (d) (e) (e) 4. (a) (a) (b) (b) (c) (c) (d) (d) (e) (e) 6. (a) (a) (b) (b) (c) (c) (d) (d) (e) (e) 0 dx x2 + 4 dx = lim t " 1. 1 x2 + 4 x2 + 4 dx. 0 x ln xdx = lim x ln xdx. Using integration by parts with u = ln x, dv = xdx, du = lim t 0z 1 t x ln xdx = lim t 0" x2. 2 t 0" t2 t 0z 1 lim t ln t# = lim t 0" ln t x ln xdx = lim t 0. 4 (b) (e) diverges to (c) diverges to converges to e2. Which of the following is an expression for the arclength of the curve y = cos x between x = . The arclength formula gives the answer as r.
