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junior college 1 | H1 Maths
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shitbrainz
Shitbrainz

junior college 1 chevron_right H1 Maths chevron_right Singapore

Thanks in advance

Date Posted: 5 years ago
Views: 339
J
J
5 years ago
y√(¼ - y²) = y(¼ - y²)^(½)


∫y(¼ - y²)^(½)
= (¼ - y²)^(½+1)/(2(½+1))
= ⅓(¼ - y²)^(3/2)

It is directly integrable. Sub the upper and lower limit accordingly

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
1st
I used the substitution y = 0.5 sin u so that I can get rid of the evil square root there (which is the "root" of why the function cannot be integrated easily).