SelfEvaluationTest1(1) - Math 141 Section 01 Integral...

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Math 141, Section 01, Integral CalculusExam 1: Feb 08, 2014Evaluate the following definite/indefinite integrals.1.(8)Z1xlnxp(lnx)2-1dx2.(8)Zsec2xtan2xtan2x-1dx3.(8)Z19e-x+exdx4.(8)Z0e-4xsinx dx5.(8)Zsec4xtan55x dx
7.(8)16xdx8.(8)Zx+ 2x4-x2dx9.(8)Z9-x2x2dx10.(8)Zdx8 + 2x-x211.(16)(a) Show thatZsinnxdx=-1nsinn-1xcosx+n-1nZsinn-2xdx(b) Use part (a) to evaluate the integralZsin5x dx12.(8)Z2 cos3x-cosxcos 2xdx
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18.(4)Write the appropriate form for finding the partial fractions ofxx3(x2-4)(
(15)The graph off(x) =17xsin

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