An integral# BrainTeaser - 大脑工作室
e*n
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No Chinese input here. Sorry about it.
I've got an integral that I was able to integrate with Mathematica. It does
not appear to be difficult. So I tried to solve it manually. I am not able
to figure it out. For the sake of my curiosity, I wonder if anybody could
help me out. Any hints would be greatly appreciated.
The integral has the following form:
Integrate[Cos[x]^2*Log[-a*Cos[x] +Sqrt[1-a^2*Sin[x]^2]], {x, 0, 2*Pi}]
where "a" is a real positive number less than 1.
Again, thanks for any hint
I've got an integral that I was able to integrate with Mathematica. It does
not appear to be difficult. So I tried to solve it manually. I am not able
to figure it out. For the sake of my curiosity, I wonder if anybody could
help me out. Any hints would be greatly appreciated.
The integral has the following form:
Integrate[Cos[x]^2*Log[-a*Cos[x] +Sqrt[1-a^2*Sin[x]^2]], {x, 0, 2*Pi}]
where "a" is a real positive number less than 1.
Again, thanks for any hint