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Ramanujan wins again!!

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Ramanujan would be proud!!
We calculate the integral from 0 to infinity of sin x^n 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
We calculate the integral from 0 to infinity of sin x^n 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
Ramanujan wins again!!
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