Complex Analysis: Integral of ln(x)/(x^n+1) using Contour Integration

Описание к видео Complex Analysis: Integral of ln(x)/(x^n+1) using Contour Integration

Today, we use complex analysis to evaluate the improper integral from 0 to infinity of ln(x)/(x^n+1) where our n is a real number greater than 2. We also come across some other familiar results which you can check out in more detail through these links to other videos I have created:

Solutions to z^n+1=0:
   • Complex Analysis: A Complex Polynomial  
Integral of 1/(x^n+1):
   • Complex Analysis: Integral of 1/(x^n+...  
Logarithm of complex numbers:
   • Natural Log of Negative and Complex N...  
Complex exponential definition of sine:
   • Complex Exponential Definition of Sin...  
Outtakes for integral over Gamma and gamma:
   • Outtakes - Integral of ln(x)/(x^n+1) ...  

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