Can you solve the following integral? integral of 1/(1+x^phi)^phi from 0 to infty

Can you solve the following integral?

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Probability theory:

https://www.youtube.com/watch?v=8s-nyRLBsDo&list=PLg9w7tItBlZsvciKHBx8lXXnCtQ7Ou4cV

Complex analysis:

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additive combinatorics:

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微積分 高等微積分 代數

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Reduction formula in Calculus:

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Integrals of trigonometric functions:

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(algebraic geometry)代數幾何筆記

https://www.youtube.com/playlist?list=PLg9w7tItBlZssQ4Smzgp_bk2rEszKaW0B

Linear algebra Proof:

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Riemann Zeta functions:

https://www.youtube.com/playlist?list=PLg9w7tItBlZu4ncqL53iPd1GmwKq8yYoM

Gamma Function:
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