MX2 Integration Marathon (2 Viewers)

blyatman

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lol where do people even find these integrals. Actually, where do people even find the time to find AND also do these integrals o_O
 

stupid_girl

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why does Sharkys Integral look much easier compared to that
It's difficult to judge the difficulty from appearance. sqrt(tan x) may look simple but it's more tedious to integrate than some horrible looking functions.
 

stupid_girl

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Let's try Feynman trick.



(Let t=cos x)





Note that I(0)=0 and let







This will unfortunately lead to dilogarithm but at least this is a way out. I will be extremely impressed if someone can provide a solution using 4U methods.
 

sharky564

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Let's try Feynman trick.



(Let t=cos x)





Note that I(0)=0 and let







This will unfortunately lead to dilogarithm but at least this is a way out. I will be extremely impressed if someone can provide a solution using 4U methods.
That last section which results in a dilogarithm is entirely 4U-able, and you may see that if you try the Feynman in a slightly different way.
 

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