Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 1, Section I, A

Further Complex Methods | Part II, 2016

Evaluate the integral

f(p)=P∫−∞∞dxeipxx4−1f(p)=\mathcal{P} \int_{-\infty}^{\infty} d x \frac{e^{i p x}}{x^{4}-1}f(p)=P∫−∞∞​dxx4−1eipx​

where ppp is a real number, for (i) p>0p>0p>0 and (ii) p<0p<0p<0.

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