Yes, a hint would help. I truly am stumped by this questionAny hint?
Yes, a hint would help. I truly am stumped by this questionAny hint?
I'm really lost. I tried to express the integral in various alternative ways but I can't solve any of these.
Have you tried writing the last one in terms of the hyperbolic functions?I'm really lost. I tried to express the integral in various alternative ways but I can't solve any of these.
That's an excellent variety of integrals, none of which are on the right track (from what I've explored at least). My method is not that nice but it does yield a solution. My first hint is to try in the original integral.I'm really lost. I tried to express the integral in various alternative ways but I can't solve any of these.
That's what I like about this question - due to the simplicity of the q, there seem to be so many ways of approaching it which don't go anywhereMany alternative forms that lead me to nowhere
Why is pi^2/8 appearing so often?
^I don't believe it has a solution contained within MX2. But feel free to take that as a challenge.
Please correct me if there is any typo.Another problem if u get bored of that one:
No using dilogarithms, only 4U stuff.
Do you have more hints?That's what I like about this question - due to the simplicity of the q, there seem to be so many ways of approaching it which don't go anywhere
I mean, you have to show why that sum is , but there are many ways of doing that in 4U, so it's basically done. That was also my method .Please correct me if there is any typo.
After a partial evaluation of the integral, you should get the original integral, which you can use for symmetry. See how that's possible. (note that this is quite cancerous to do, so you need to have some persistence)Do you have more hints?