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HSC 2018-2019 MX2 Integration Marathon (1 Viewer)

stupid_girl

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Just spent some time to type my solution. If you see any typo, please let me know.

It is assumed that readers can derive:



Let's look at this integral first. I've added DI table for easier understanding.












Let's go back to the original integral.








 
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TheOnePheeph

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This one should lead you to a well-known tedious integral.
God, is a trek to integrate (Sorry for the sides cropped off, my scanner actually sucks, pretty much only the dus were cropped on the right, and at the bottom I was just saying that the square root of 3+2√2 was 1+√2)
 

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stupid_girl

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Well done!!!
The integral of square root tangent is notorious.😈















For those who are interested, this is the indefinite integral.
 
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