@@owl3math math practice is still math practice no matter what so any and all attempts at a problem, mistakes and such included, are definitely worthwhile
@@the.lemon.linguist Yes i feel the same. I considered deleting this one but it's a good problem and feel like people can still get something from this one. :)
It is possible to calculate it with basic calculus skills taught at the beginning of integral calculus course but it may not be the quickest way to do it
@@owl3math Basically there are substiutuions such as t = tan(x/2) , u = 1/t, w = (1 - u)/(1+u), linearity of integral , additive property over interval of integration, integration by parts , (geometric) series expansion ,exchanging order of summation and integration, integration by parts again
Yes, it can be done. You see it much less frequently with Feynman's technique. I think I may have one in mind but not sure if I want to do a video. I'll check :)
your calculus teacher is having a heart attack looking at this notation
Excellent 👌
thanks!
Great video and great evaluation. Please do some videos on the Lobachevsky Dirichlet Integral Formula.
Hi Mohan. Thanks! 🙏
Ahhh just name dropping something completely unrelated to show you know about it,nice
Great
thank you
even with the mistakes, it's still a great video!
Thanks! Yeah I noticed a bunch of mistakes but still I couldn’t delete it. 😂
@@owl3math math practice is still math practice no matter what
so any and all attempts at a problem, mistakes and such included, are definitely worthwhile
@@the.lemon.linguist Yes i feel the same. I considered deleting this one but it's a good problem and feel like people can still get something from this one. :)
It is possible to calculate it with basic calculus skills taught at the beginning of integral calculus course
but it may not be the quickest way to do it
With integration by parts?
@@owl3math Basically there are substiutuions such as t = tan(x/2) , u = 1/t, w = (1 - u)/(1+u),
linearity of integral , additive property over interval of integration, integration by parts , (geometric) series expansion ,exchanging order of summation and integration, integration by parts again
@@holyshit922 wow many ways! 😆 thanks!
1 + (1/2)cos(x) reminded me of a sum-to-power formula, so I ended up with some 1 + 2cos^2(x/2) and 1 - 2cos^2(x/2) stuff, but I couldn't make it work
gotcha thats interesting. I don't think I have an alternative method for this one
can we use feynman’s trick for indefinite integrals? if so, could you do an example video of such?
Yes, it can be done. You see it much less frequently with Feynman's technique. I think I may have one in mind but not sure if I want to do a video. I'll check :)
@@owl3math please show how ‼️😭🙏 i beg i NEED to learn this for indefinite integrals