Math for Econ II Worksheet 6 - Worksheet 6 The Fundamental...

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Worksheet 6The Fundamental Theorem of Calculus; Integration by substitution1. Consider the area between the curvey=ex-2 and thex-axis, betweenx= 0 andx=cforc >0. Find thevalue ofcmaking the area above the axis equal to the area below the axis.(a calculator is necessary for the final step)2. Find the following derivatives:(a)ddxZx1(1 +t)200dt(b)ddxZ0e-xln(t2+ 1)dt3. LetF(x) =Zx21ln(t)dtforx2.(a) Find

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