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HSC 2018-2019 MX2 Integration Marathon (1 Viewer)

Paradoxica

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I don't believe it has a solution contained within MX2. But feel free to take that as a challenge.
 

fan96

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I'm really lost. I tried to express the integral in various alternative ways but I can't solve any of these.:mad:





Have you tried writing the last one in terms of the hyperbolic functions?
 

sharky564

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I'm really lost. I tried to express the integral in various alternative ways but I can't solve any of these.:mad:





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.
 

stupid_girl

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Many alternative forms that lead me to nowhereo_O
Why is pi^2/8 appearing so often?






 

sharky564

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Many alternative forms that lead me to nowhereo_O
Why is pi^2/8 appearing so often?






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
 

sharky564

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Do you have more hints?
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)
 

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