Ramanujan would be proud of this integral
Ramanujan would be proud!!
We calculate the integral from 0 to infinity of 1/x^n + 1 using Ramanujan's master theorem. This involves by writing the function out as a Taylor or Maclaurin series and then converting it into the Gamma function, which is a generalization of the factorial function. We also use Euler's formula which relates the gamma function with sin and cos. This is a must see for anyone who appreciates Srinivasa Ramanujan's work and math and calculus in general
Note: Big thanks to Hari Kishan for recommending me the problem and its solution
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