A monster integral solved using special functions including Euler infinite harmonic sum formula

(Mis-2032) Integrate ln^2(sin x)ln^2(cos x)/(sin x cos x)dx from 0 to π/2 #calculus #definite_integrals #algebraic #manipulation #substitution #riemann #zeta #function #harmonic #numbers #euler #infinite #formula #cipher

[@slavinojunepri7648]

The Euler's harmonic sum was new to me. Thanks for sharing.

[@cipherunity]

You are welcome

[@Dedicate25]

This has to be one of the nicest problem in your channel

[@qwertyman123]

nice, can we get advanced number theory today? also like the euler you should do more on it

[@cipherunity]

This was a beautiful problem. I have more than 700 videos on number theory. I can start adding difficult problems too.

[@qwertyman123]

@@cipherunity yes

[@dogukanbirinci2099]

4.46 daki harmonik serinin ispati lazim