I searched a lot on the internet but couldn't find a step-by-step solution to this integral, perhaps someone has enough knowledge to solve it? If so, can you please write in detail how you did this?

If someone set you this they are pulling your leg.

The dx is shown under the square root sign so it is not a properly constituted integral.

Please check

Edited April 12, 20232 yr by studiot

11 hours ago, Andy Midrano said:

I searched a lot on the internet but couldn't find a step-by-step solution to this integral, perhaps someone has enough knowledge to solve it? If so, can you please write in detail how you did this?

This is an Internet meme (“Free Wifi password”) that for some reason or other seems to have gone viral - though, as studiot has correctly point out - the picture you have attached here has a typo in it, and the dx should be outside the square root. Anyway, here’s the link to a step-by-step solution, which simply involves recognising the meaning of the those integrals, and a view basic calculus facts:

https://medium.com/@ericphamhung_76823/solving-the-free-wifi-equation-no-integrals-needed-b74930f18d93

thanks!