HSC 2018-2019 MX2 Integration Marathon (1 Viewer)

stupid_girl

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This one should be harder.
I think I've masked the underlying substitution quite well.:cool:
 

Paradoxica

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Anyone has guessed the substitution?
I can reduce it but I can't evaluate it. Are you sure this integral is expressible in terms of elementary functions?

The numerical integration returns 0.4690815321272337326612091235046416327076, which has no simple form in the Inverse Symbolic Calculator.
 

Paradoxica

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Once the substitution is uncovered, it is not much fun.

tried this as my initial thought (i knew getting rid of the denominator was a necessary step), didn't get very far for some reason, maybe i made an arithmetical error somewhere
 

stupid_girl

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a new one...shouldn't be too hard:p
Feel free to share your attempt.

Find the area bounded by x-axis and the curve
.
 

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