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MM360
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Homework Statement
Hi I am new on here so I am just writing out the question.
Real integral ie from - infinity to + infinity of [cos(x) -1]/(x^2)
2. Homework Equations + solution attempt
I know you have to use the exp cosx idenity and then split the integral.
also it has a removable singularity at z =0 and also the contour has to be indented
I have the ans for this question but my main problem is how this happens
integral of [exp(iz) - 1]/2(z^2) = 0
but the integral of
[exp(-iz)-1]/2(z^2) = pi ( once residue thoerm is applied)
Also could anyone please explain how to apply Jordans lemma to these kind of questions
I have exams soon so any help would be much appreciated
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