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I was playing tennis with my friend Herbert Hui this morning, and he casually tells me he knows six ways to do this integral. I couldn’t stop thinking about it during the game…. How many ways can _you_ solve it?pic.twitter.com/6AMkTGyU8T
You can see that the first equality is true by proving the following propertypic.twitter.com/rFdH6N9mlr
modulo dx haha
How do we know int(log(sin(x)),0,pi/2) is equal to int(log(cos(x)),0,pi/2) prior to integration?
see my reply to my comment
This was the first thing I did as soon as I saw the integral.. but not able to proceed... Still thinking.....
hint (2) .. make a substitution to turn the integral into the original one
that is very neat
Now you have suggested two ways of solving it thank u!
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