Solving Complex Integrals from the 2023 MIT Integration Bee Finals

[@armanavagyan1876]

PROF couldn't belive U can solve this complex problem until didn't saw the full solution of YOURS very nice)

[@MathsTuts4U]

Thank you so much for your kind words! I'm glad to hear that my solution was helpful and that you found it to be a good demonstration of my abilities. I appreciate your support and encouragement, and I hope to continue sharing valuable content on my channel. Thank you for being a part of my community!

[@Rithida.Math2024]

Compute the Integral of x^2024/(1+x^2)^2023 please.

[@MathsTuts4U]

ok

[@RocketsNRovers]

how does reflection formula come and how do we relate beta and gamma function (derivation)

[@MathsTuts4U]

Thank you for your question! The reflection formula is a mathematical formula used to relate the values of the gamma function for complex numbers with negative real parts to the values for complex conjugate numbers with positive real parts. This formula can be derived using the properties of the gamma function and complex analysis.
Regarding the relationship between the beta and gamma functions, it can be shown that the beta function can be expressed in terms of the gamma function. Specifically, the beta function can be written as a product of two gamma functions, and this relationship can be used to simplify expressions involving the beta function.

[@piyusharora5327]

Thanks

[@MathsTuts4U]

Welcome

[@RocketsNRovers]

have done this when it came out 😅 .. good question nonetheless

[@MathsTuts4U]

thanks

[@RocketsNRovers]

i solved this algebraically last time