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(b) For which s E C does the integral dr exist as an improper Riemann integra? Justify your answer. (e) Evaluate J(s) by considering a contour integral around a suitably chosen rectangular conto...
(b) For which s E C does the integral dr exist as an improper Riemann integra? Justify your answer. (e) Evaluate J(s) by considering a contour integral around a suitably chosen rectangular contour (a) tse a value of s for which J(s) can be evaluated by elementary means to check your answer to part (e) (e) Use your answer to part (e) to evaluate cos(anld (where a E R). (f) Hence (where α E R) determine the value of ( ter)?
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