Calculus II Midterm 1 February, 2009 21. (3 marks each; total 9 marks) Answer each question in the space provided. You MUST show your work. a)Evaluate ∫∞+11dxxx. b)Consider the integral ∫42lnxdx. If using the Trapezoidal rule to approximate this integral, the error is approximated by 2312)(nabKET−≤with Kxf≤)()2(. Find the value of K. [Note: Just find K; you do NOT have to approximate the resulting error] c)Evaluate ∫π03cossinxdxx.
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