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...Solutions to exercises unit integration a dierentials indenite xdx d sin because is constant dx b x c e cos y dy implies method slow way substitute u du therefore guess and check it s often faster the form of antideriv ative work out factor afterwards so multiply by make derivative come right answer then copyright david jerison mit use substitution getting previous dierentiating next four questions you should try do in your head write down correct solution front f ex g h i ln for comparison let see how much slower j k this sort algebraic trick will be explained detail as part general what underlies algebra both algorithm long division polynomials l udu m coming from or two functions are not same nevertheless answers given why csc tan sec...