Solving improper integral using Feynman technique

Mis-2233
Integrate sin^2 x/(x^2(x^2+1))dx from 0 to ꝏ
#calculus #improperintegrals #feynmantechnique #cipher
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[@omarelnajmi2477]

And the integral cos(2ax)/x²+1 how you solve this part?

[@cipherunity]

I have attached a card (video) to this video which proves the result I used directly.

[@fengshengqin6993]

standard laplace transform or fourier transform could solve this part very easily.