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junior college 1 | H1 Maths
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junior college 1 chevron_right H1 Maths chevron_right Singapore

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Date Posted: 8 months ago
Views: 51
8 months 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
3856 answers (Tutor Details)
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).