Mathematics Tripos Papers

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  • Part IB
  • Part II
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Paper 1, Section I, E

Further Complex Methods | Part II, 2017

Calculate the value of the integral

P∫−∞∞e−ixxndxP \int_{-\infty}^{\infty} \frac{e^{-i x}}{x^{n}} d xP∫−∞∞​xne−ix​dx

where PPP stands for Principal Value and nnn is a positive integer.

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